From 2bda02ca0cdff8b95c9525ac9ce50ca5022384fc Mon Sep 17 00:00:00 2001 From: Kevin Lane Date: Wed, 30 Jun 2021 14:41:23 -0700 Subject: [PATCH 01/73] Add ODE solver --- torchts/nn/models/ode.py | 58 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 torchts/nn/models/ode.py diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py new file mode 100644 index 00000000..76933707 --- /dev/null +++ b/torchts/nn/models/ode.py @@ -0,0 +1,58 @@ +import torch +from torch import nn + +from torchts.nn.model import TimeSeriesModel + + +class ODESolver(TimeSeriesModel): + def __init__( + self, ode, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs + ): + super().__init__(**kwargs) + + if ode.keys() != init_vars.keys(): + raise ValueError("Inconsistent keys in ode and init_vars") + + if solver == "euler": + self.solver = self.euler + else: + raise ValueError(f"Unrecognized solver {solver}") + + for name, value in init_coeffs.items(): + self.register_parameter(name, nn.Parameter(torch.tensor(value))) + + self.ode = ode + self.var_names = ode.keys() + self.init_vars = { + name: torch.tensor(value, device=self.device) + for name, value in init_vars.items() + } + self.coeffs = {name: param for name, param in self.named_parameters()} + self.outvar = self.var_names if outvar is None else outvar + self.dt = dt + + def euler(self, nt): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + for n in range(nt - 1): + # create dictionary containing values from previous time step + prev_val = {var: pred[var][[n]] for var in self.var_names} + + for var in self.var_names: + new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt + pred[var] = torch.cat([pred[var], new_val]) + + # reformat output to contain desired (observed) variables + return torch.stack([pred[var] for var in self.outvar], dim=1) + + def forward(self, nt): + return self.solver(nt) + + def get_coeffs(self): + return {name: param.item() for name, param in self.named_parameters()} + + def _step(self, batch, batch_idx, num_batches): + (x,) = batch + nt = x.shape[0] + pred = self(nt) + return self.criterion(pred, x) From 945321aafe2944d6329d5f19703e1cd9deb86992 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Wed, 18 Aug 2021 08:15:10 -0400 Subject: [PATCH 02/73] Added Lorenz63 data --- examples/ode/lorenz63/Lorenz63Data.mat | Bin 0 -> 4626139 bytes .../ode/lorenz63/Lorenz63DataGeneration.m | 39 ++++++++++++++++++ 2 files changed, 39 insertions(+) create mode 100644 examples/ode/lorenz63/Lorenz63Data.mat create mode 100644 examples/ode/lorenz63/Lorenz63DataGeneration.m diff --git a/examples/ode/lorenz63/Lorenz63Data.mat b/examples/ode/lorenz63/Lorenz63Data.mat new file mode 100644 index 0000000000000000000000000000000000000000..6915e2f9897c88e0f4aeb5d28550c501d7001629 GIT binary patch literal 4626139 zcma%=Q*$N^kcB6^2XV(wrcP9+?=ld0bPC0BQLBb 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0.01; +t_max = 2000; + +t_vals = 0:h:t_max; + +[~,size_t] = size(t_vals); + +x = zeros(3,size_t); +x(1,1) = 1; + +A = [0,0,0,0;1/2,0,0,0;0,1/2,0,0;0,0,1,0]; +b = [1/6, 1/3, 1/3, 1/6]; +c = [0, 1/2, 1/2, 1]; + +for n=1:size_t-1 + k_1 = x(:,n); + k_2 = x(:,n) + h*A(2,1)*f(k_1); + k_3 = x(:,n) + h*A(3,1)*f(k_1) + h*A(3,2)*f(k_2); + k_4 = x(:,n) + h*A(4,1)*f(k_1) + h*A(4,2)*f(k_2) + h*A(4,3)*f(k_3); + x(:,n+1) = x(:,n) + h*(b(1)*f(k_1) + b(2)*f(k_2) + b(3)*f(k_3) + b(4)*f(k_4)); +end + +plot3(x(1,:),x(2,:),x(3,:)); +xlabel("X"); +ylabel("Y"); +zlabel("Z"); + +function y_prime = f(y) + +sigma = 10; +rho = 28; +beta = 2.7; + +y_prime = zeros(3,1); +y_prime(1) = sigma*(y(2)-y(1)); +y_prime(2) = y(1)*(rho-y(3))-y(2); +y_prime(3) = y(1)*y(2)-beta*y(3); +end \ No newline at end of file From b3cc643481c7622a7321fd9ad420a80b4d18a3b7 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Wed, 18 Aug 2021 09:05:55 -0400 Subject: [PATCH 03/73] Started working on Lorenz63 test --- .gitignore | 2 + examples/ode/lorenz63/Lorenz63Test.ipynb | 70 ++++++++++++++++++++++++ 2 files changed, 72 insertions(+) create mode 100644 examples/ode/lorenz63/Lorenz63Test.ipynb diff --git a/.gitignore b/.gitignore index 8759aa0e..acc676eb 100644 --- a/.gitignore +++ b/.gitignore @@ -12,3 +12,5 @@ lightning_logs/ # Sphinx docs/build/ +.vscode/ +examples/ode/lorenz63/.ipynb_checkpoints/ diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb new file mode 100644 index 00000000..1bb0f739 --- /dev/null +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -0,0 +1,70 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "dataset = scipy.io.loadmat(\"Lorenz63Data.mat\")['x']" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 1.00000000e+00, 9.17927510e-01, 8.67924268e-01, ...,\n", + " -6.77990147e+00, -7.12556121e+00, -7.49034267e+00],\n", + " [ 0.00000000e+00, 2.66335809e-01, 5.11733691e-01, ...,\n", + " -1.01378640e+01, -1.06794452e+01, -1.12300516e+01],\n", + " [ 0.00000000e+00, 1.26355130e-03, 4.65403217e-03, ...,\n", + " 1.86069492e+01, 1.88253706e+01, 1.91138805e+01]])" + ] + }, + "metadata": {}, + "execution_count": 2 + } + ], + "source": [ + "dataset" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.7 64-bit ('base': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.7" + }, + "interpreter": { + "hash": "dca0ade3e726a953b501b15e8e990130d2b7799f14cfd9f4271676035ebe5511" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From b7c8a6dfdfe54ad16bafc2fcf16c3b3cba940332 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Wed, 18 Aug 2021 10:00:33 -0400 Subject: [PATCH 04/73] Set conda environment --- examples/ode/lorenz63/Lorenz63Test.ipynb | 32 +++++++++++++++++++----- 1 file changed, 26 insertions(+), 6 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb index 1bb0f739..ee129f22 100644 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -29,13 +29,33 @@ ] }, "metadata": {}, - "execution_count": 2 + "execution_count": 3 } ], "source": [ "dataset" ] }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "from torchts.nn.models.ode import ODESolver\n", + "# from torchts.nn.model import TimeSeriesModel" + ] + }, { "cell_type": "code", "execution_count": null, @@ -47,7 +67,7 @@ "metadata": { "kernelspec": { "name": "python3", - "display_name": "Python 3.7.7 64-bit ('base': conda)" + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" }, "language_info": { "codemirror_mode": { @@ -59,10 +79,10 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.7" + "version": "3.9.6" }, "interpreter": { - "hash": "dca0ade3e726a953b501b15e8e990130d2b7799f14cfd9f4271676035ebe5511" + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" } }, "nbformat": 4, From b3a633c2d9cd73e1256b9804caadb0d315a37f26 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Thu, 19 Aug 2021 17:37:36 -0400 Subject: [PATCH 05/73] Predicted Lorenz 63 data + Added Runge-Kutta 4 --- .../ode/lorenz63/Lorenz63DataGeneration.m | 4 + examples/ode/lorenz63/Lorenz63Test.ipynb | 224 ++++++++++++++++-- torchts/nn/models/ode.py | 31 +++ 3 files changed, 240 insertions(+), 19 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63DataGeneration.m b/examples/ode/lorenz63/Lorenz63DataGeneration.m index e5f65917..87f8d1eb 100644 --- a/examples/ode/lorenz63/Lorenz63DataGeneration.m +++ b/examples/ode/lorenz63/Lorenz63DataGeneration.m @@ -21,6 +21,10 @@ x(:,n+1) = x(:,n) + h*(b(1)*f(k_1) + b(2)*f(k_2) + b(3)*f(k_3) + b(4)*f(k_4)); end +% for n=1:size_t-1 +% x(:,n+1) = x(:,n) + h*f(x(:,n)); +% end + plot3(x(1,:),x(2,:),x(3,:)); xlabel("X"); ylabel("Y"); diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb index ee129f22..6f648e3a 100644 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -2,58 +2,244 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ - "import scipy.io\n", + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", "\n", - "dataset = scipy.io.loadmat(\"Lorenz63Data.mat\")['x']" + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" + ] + }, + { + "source": [ + "# Euler's Method" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(20000)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "array([[ 1.00000000e+00, 9.17927510e-01, 8.67924268e-01, ...,\n", - " -6.77990147e+00, -7.12556121e+00, -7.49034267e+00],\n", - " [ 0.00000000e+00, 2.66335809e-01, 5.11733691e-01, ...,\n", - " -1.01378640e+01, -1.06794452e+01, -1.12300516e+01],\n", - " [ 0.00000000e+00, 1.26355130e-03, 4.65403217e-03, ...,\n", - " 1.86069492e+01, 1.88253706e+01, 1.91138805e+01]])" + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.0000e-01, 2.8000e-01, 0.0000e+00],\n", + " [ 8.3800e-01, 5.2920e-01, 2.5200e-03],\n", + " ...,\n", + " [-8.3179e+00, -9.0258e+00, 2.5758e+01],\n", + " [-8.3886e+00, -9.1220e+00, 2.5814e+01],\n", + " [-8.4620e+00, -9.2142e+00, 2.5882e+01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 3 + "execution_count": 25 } ], "source": [ - "dataset" + "result" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":6: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "

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lmKDbVbS3t0MqlQ6qjHcGeq49AGRnZ7ssLIBrbjHTepq0tDQEBgaiuLjYpfOxR+h4PB7jfhk7diz0ej2zkJ0/fx4KhQIBAQGMVWPvrtkRvGVXOlK9xeyZ0EnH1EwLOj3NchkKenNGi4m1kdAXw+A0TlzcDO0Go7PBXO1iDBiFqrq6Gk1NTcjMzER5eTlrF6ezbjG66ruvrw/Tp09HUFAQ03DQWZxdBAUCASIiIhAREQGg30Ujk8lw+vRp6HS6QckB3iIOruIJjSstuTmtFXQqlUpIJBKPOG97MRgMzObFmhvtYpjSyYmLG7HUwsVVcVEqlYw1kJeXBz8/P1RWVo5oyxa6rYy/vz/y8/OZlFQ2XGxsxH9MXTQURUGpVDILWX19PQCYJQc4Wix4MQb02cRWQWd3dzfq6+vR3Nw84gWd9kKSpFXLeCixGU2WDScubsLUWjEN5rnSIr+lpQUVFRUYM2YM0tPTmQvOlWMOxBG3GEVRqK+vx5kzZyy2lbElLvYsDO7oLUYQBPz8/ODn54e4uDhQFIW+vj7IZDJ0dHTg7NmzEAqFZskBlnqweSueKC4DMS3o7OzsRGxsLMRi8YgXdNoL3b3cHiyJjaUpnf/+978xd+5c5Ofnu+282YYTF5YZqnbFGSEwGAw4ffo02trakJWVhaioKLPn2VyE7XWL6fV6lJeXo6urC7m5uUz9A5vnNRyLIEEQzEKWlJRkVizY0NCAyspKs/oNOgPIW/EGcTGFdiV7QkGnvZi6xRyFDv7T0GLz9ddfIzExkROXixXTKZEALO5eHBUXuVyO4uJiCAQC5OfnW+y/xbblMpQg9PX1oaioCGKx2Gp3ZXuPNRTD7XIyLRYcN27coPoNlUo1KDnAm/A2cbFURDlSBZ2OnDNbCSO02NCxJ2+CExcWsDR+2NoNzOPxmBjMUMdsamrC6dOnkZCQgNTUVKum9nC6xRobG3H69GkkJSUhJSXF5kLFhltspBlYv6FWq5nkADqlVigUQiKRoK+vD/7+/h5x3tbwRnEZysU0XAWd9mIwGFgVMzrhgY1s0OGEExcXsXfuCo09QkDPte/s7ER2djaT9eTKMe2FdosNXIQMBgMqKyvR3t6OnJwc5ka2hTdaLkPh6+uLmJgYxMTEMMkBlZWV0Gg0KCwsNEuL9sTA82gUl4HYW9BJjxdgOzWdTcuFRqFQwN/fn9VjuhtOXFzA1vhhawyVLdbb24vi4mL4+voiPz/frkClu5pN0pi65mbNmmV38NS0NY0zC5o7AvpsYpocIBaLkZiYyCQH0IFnHx8fs+SAkYwFABeHuAzEVkFnZWWl3QWd9uJKzMUanLhcJLjSwsWalUFR1ufaO3tMZ6Dfk959tbS0oLy8fEjXnK1jWVrQaOvInt/3Fng8HoKCghAUFMQEngfGAvz9/c1iAcOdHODJYm0Jd1ToO1vQaS+OZIvZezy1Wg0/Pz/WjjkccOLiII66wQZiaf6KTqdDeXk5uru7rWZe2XNMNqBvCoPBgOrqajQ3N2Py5MmMi8ERTMXFWbxtMTSFz+cjLCyM6cag1WrR3d0NmUyGmpoaqNVqBAYGMlZNYGCg2+sZPL2dykDc3RXZkYJOeyd0su0Wk8vlAMDFXEYzjowftsbA+Svd3d0oKSmBv78/Zs2a5ZTbxB2Wy8mTJ0EQBPLz853OUnFVXLzJcrHnXEUikVksgN4xy2QyZsdML2KhoaFuGTN8MbrFHMFWQae9EzrZtlwUCgUAcG6x0cjA2hVXGk6aWgZ1dXV2zbW355hsiUtnZycAIDAwEJmZmS6PmAVGv+Xi7DkOdM8oFArIZDJmYBqPxxtyDLQz5+ot4kK7TkfS0nJmQifblotSqYSvr6/X1Vd519mOAANrV1xtnU3fKEVFRVCpVHbNtR8KNgLfpiOIATgcX7HFxWC5uIrpjjkhIYFZxGQymdUx0M6ku3qTuNiqFxsp7JnQCRhT9vV6PStJHHK5fETnFTkLJy5WoGMrnZ2dTKoiG19ud3c3AONFmp+fz0o+vKuWy8ARxH/++ScrlpCpC9BZvMFycQemixhgeQy0v78/IzT2joH2JnGhv3tPEpeBWCroPHz4MAQCAWsFnXK53OuC+QAnLhahhUWpVOLkyZNYsGCByzckRVE4d+4camtrQRAEMjIyWCu0ckVc6OmV4eHhmDp1KiOibC7qrlguF6u4DMTSGGjahVZVVQWtVmvXGGhv+jxNvQXeAu26SkpKgp+fHysFnXQasjd9DgAnLoMwrV2hv3RXfahqtRqlpaVQq9WYMWMGTpw4wepN7swMFlOxGziCmK1plLZiLt5Soe+piEQis07PpskBtsZAe5Pl4olusaGgyxTo9cKegs6BYjNwrfHG1i8AJy4MtmpXXHERdXR0oKysDOHh4ZgyZQoEAgGrAXjAcTHQaDQoLS2FSqWyOL2SLYvhYgnoAyMrhJbSaa2NgaYoClqt1isWKzoN2VvEEBhaEB0p6AwODoZEIoFcLmc1U2zNmjV48cUXzR6LiopCa2srAOM99+KLL2LHjh3o6urCjBkz8NZbbyEzM9Oh9+HEBdZrV+j/7OkFNhDTAPmECRMwZswY5jl3iIu950iPIA4JCUFOTo5Fk9wZS8gargiVtywqniaABGF5DLRMJgMAFBYWQiKRePwY6JHOFHMG+r6x19Nhq6Dz2LFjePzxx5GWlgaKonDq1ClkZ2ezkomWmZmJ33//nfm36TG3bNmCV155BTt37kRaWhrWrVuHBQsWoLq62qFam4teXIaqXXFk4aZRqVQoKSmBXq9HXl7eoF2HM8e0BY/HY2Y/WGPgCOKEhASbzTXZbCcz8FgURaG5uRnd3d1MQNqa39nTFm5vhO53FhQUhLq6OsycOZMpFByuMdDO4G0jjgGYbVAdZaAFOn78eIwbNw7btm3DsWPHcNlll4HH42HevHnYvn27U4XNNAKBgLGeTKEoCq+99hpWr16NG2+8EQDwwQcfICoqCp9++imWL19u/3s4fXZejmntCr1DsrTYOjo5sq2tDeXl5YiOjkZGRobFm5Rty2UoS0On06GsrAy9vb12pT6703IxGAyoqKhAZ2cnwsLCmDb2dKW6aTDaWywXb4H+HrxlDLS7q/PdgSN9BoeCz+dj+vTp+OWXXxAYGIgdO3agqKgI+/fvR0hIiEvHrqmpQWxsLHx8fDBjxgxs2LABY8eORW1tLVpbW7Fw4ULmtT4+Prjkkktw5MgRTlyGgiRJ6PV6u1q42GtlDJxrHxMTY/W1ro46tnSO1nb41kYQO3s8RzH9XJVKJYqKisDn8zFz5kzweDzweLxBwWjAOHbY39/fYodmT8TTzw/oF5eB5+ruMdDO4o2Wi7s6Ivv5+UEgEGDatGmYNm2aS8ebMWMGPvzwQ6SlpaGtrQ3r1q1Dfn4+KioqmLjLwIGEUVFRqKurc+h9LipxMZ27MnD8sDXsEQKFQoGSkhIAsKtdijtiLgOPZ9oIc9y4cUhOTrZ7QWC7yzJFUWhvb0dpaSkzohkwptMCg/3OdGdhulvA0aNHGavG2eJBDuviYoonjYH2RnFhu/ULYFxfTGO2rrJo0SLm56ysLOTl5WHcuHH44IMPMHPmTACDrxFnNngXjbgMNX7YGnw+36bl0tzcjMrKykFz7W3hbnGxZwSxLdh0iwFAXV0dWltbkZmZidjYWADWM/BMxw7HxMTg8OHDSEtLMyseNG2PHhQUNOILkLfEhewRl4GM5Bhobwzou6PdvlKpdGsRpZ+fH7KyslBTU4Prr78eANDa2mrmfWlvbx9kzQzFRSEuprUrBEE4dMFac4uZzrWfNGmSQ8E1d8Rc6IWjr6/PbB6MM7tKttxiWq0Wer0eUqnUYsqzvYSGhjLFgxqNBjKZDDKZDBUVFTAYDAgODmYsG29skzFcOCMuA3FmDLSzAuGNlos3DgrTaDQ4ffo05syZg+TkZERHR2PPnj3IyckBYLyPDxw4gM2bNzt03FEtLq7MXaGx5BazZ669LdyRLUaSpEMjiG3Bhlusp6cHRUVFIAgCmZmZTgmLpfP38fExmwRJN3uk6zlMXTahoaEjPpzLk2BDXAZizxho007PjlSae3NAn03YrnN5+umncc011yAhIQHt7e1Yt24dent7cffdd4MgCKxYsQIbNmxAamoqUlNTsWHDBkgkEtxxxx0Ovc+oFRdX567QmAqB6Vz7xMREpKSkOHUhsW25AMYLsLq6Gjk5OQgKCsf588D58wROnuShsZFAUxPQ10cgPJxCaCgQEkIhKMj0/0BQEIWQEEAmEyE62vnza2hoQFVVFcaNG4f6+nqnd3JDFWEObPZIu2zoxIDKykqm/xbtQnNXiq03LILuEJeBDBwDPXA2iiNjoL3RcnGXW4zNWS6NjY24/fbb0dnZiYiICMycORPHjh1DYmIiAGDlypVQqVR4+OGHmSLK3bt3O3wOo1JcSJKEVqt1ae4KDW256PV6VFRUQCqV2j1DfqhjOgtFAW1twIULBKqqtDhyxIDq6hwcPz44b9058s3+tWABifnzSeTnk8jOpmAtnk67Ctvb2zFlyhSEhYWhsbHRZSvI3t8f2ERQq9VaTLGlX+ON/ZpcYbiz7izNRnFkDLQ3iou73GJsdlT4/PPPbT5PEATWrFmDNWvWuPQ+o0pcaDcYnQ3GRr45j8eDUqnEkSNHIBaLMWvWLJezY5y1XGpqCHzwAQ8vv2z6tYkApLp0PkOxZw8Pe/aY3+QPPWTAlVeSmDGDRHCwcXdVXFzMDBjz9fUFMLIV+iKRCFFRUYiKimJSbOlmj/Qumhaa0NBQt2U9eQojndLt6Bhod7iY3A3b50xbf942hRIYReLClhts4DGVSiV6enqQkpKCsWPHsnJzOiIu7e3Am2/y8dJL9n1VkZEUrr7aaGlMmkQhOdm4sOt0xv+0WuN//f8mBj1+8uR51NRE4dSpIJSXW75Rtm3jY9u2/h1aQoIW99+fjFtvjYaPT/9nxEb8hq0+Z3SKLb2Lpuel0HM4xGIxIzSOzLf3pmwxT7LUbI2BPnPmDNRqNYRCIWpra4dtDLSruLPOxdsYFeJiMBjQ2tqKzs5OpKens3ID0XPt+/r6EBkZiXHjxrFwpkaGateiVAK7dvHw2GMC9PRY/ltSUvpwySVCZGfzkZjYA4OhBIsWzbZ6TD4f+J8xMYDBC2NAQBduuYWHxESjKd7aCpSU8HDqFIEvv+ShqmrwDV5fH4Dnnw/A888b/716tR533mnw2N5ipvNSxo4da5b1RM+3N3WhjVSVOpt4mrgMZOAY6DNnzqC3txcKhWLYxkC7ijfEXIYLrxYX09oVetfDxsXW1dWFkpISBAQEIC4ujtXMLsBytpjBABw8SODdd/n4+mvLF+c//tGNceMKMWlSCDIy0sHnEwBIdHXpUVw8VG8xQCoFenuB4GAgMBCwtjEfKAjR0UB0NIkrrgBWrTKed1ubDt9/X4eDB/3xww8J0OvNP/f16wVYv14Af/85WLu2F3ffDTi7+RoOy2Bg1pNKpWJSnk2r1GmxYWPk8HDj6eIyED6fD39/f2RkZAzbGGhXMRgMrBb56nQ6aDQaznIZTgaOHxYIBC6LAEVRqK2txblz55CamorExESmsR+bmLrFOjuB117jD4ij9JOXR+KVV7SQSM6gvr7erBDR/HgUpFKgtpbAgQM8/PorD4cOOetCmInAQAMuvxxYuJDEJZeQSE4G6HWpt7cXVVVFmDrVH/femwihUAutFti7l4f33+fhxx/7xVEuF+LJJ8Pw5JPAzJkk1q3TY9Ys+8RiJBdCsViMMWPGMC3s+/r6IJVKmUC0r68vIzTekjLrbeJiGtAfrjHQbJwzm5aLXC4HAM5yGQ5MW7iYZoMNVUk/FFqtFqWlpVAoFJg+fTqCgoIAsF+T0n9MEp99xsM991i+ATZu1GPpUgPEYuMIYoVCZ9ZhuaaGwKZNfHzyCR9AJIBFFo/jLL29fHz3HfDdd+Y3ymWXKTBnznlce208JkzobykjEgGLFpFYtIiESqXHr7/y8PLLfJw61S9wx47xMH++MRto6VI9nnpKh/9lP1qEjXkwbGBapZ6cnMyMHJbJZMx0QaVSCa1Wi9DQUI+NDXibuNiq0HfXGGhXYdstRm9sOcvFzdgK2rsiLlKpFKWlpQgJCRk0157tJpMA0N4uwty5eYMev/RSEitWGLBgAQkezziC+MgR4wji3NxcNDQIcOWVQhQUOLZwBQVRmDyZQmgoBZ0OkMkINDUZa18MBscWmz/+8MMff8yA6ayhZcsMePxxA1JSjCIgFgM33EDihhtI/PFHAU6fTsOaNeHo6+t/r507Bdi5MxBhYSRefVWDa6/Vw9p6PNLiMpCBI4cLCwvh4+MDlUqFsrIykCRpcQrkSONt4kKSpN1JFWyNgXYVtrPFlEolxGKxR4xAcBSvERfTFi6WMsGcEReKonD27FlcuHAB6enpiI+PZ+W41iBJYMsWPtasSTZ7/JFH9Hj4YQPonAHjeRlHEEdHZ+I//4nH9u3WvyqxmIKfnwoxMb5Qq4GaGvOLu6eHwMGDzi0qY8ZQEItJnD1r/eJ+5x0+3nnH+HxsLIV339Vh3jwKBAH4+Rlw/fV9eOSRQMhkwCef8PG3v/X/LVIpD3fdZfSVv/++Cjfc0C8y3rIQ8vl8BAUFMY0e6SmQnZ2dTNcA08abI9U1wBvFxdnzdXYMNBvnzLZbzBMTF+zB48XF3hYutAjYewPRc+01Go3NvldsucVqaghkZZkvKnfeacDrr+thWh+l1Wpx9Gg5fvopGFu3Xm31eHfcYcDZswROnOBBpSKgUknwvybCrNLURACw/2ZpbiawaJHx75w5k8Sjj/phzBij5REaCjz2mAGPPWZAcTGFRx8VoKCg/xK85x4x7rkHePddFW68UQ/6HvU0y8UWA6dAmnYNoGs56JnpdMrzcLnQvFFc2PhsHBkDTW8AfC2nVg4J25aLt6YhAx4uLo7UrvD5fLtnf3R0dKC0tBQRERHMXHtruOoW0+mAl17iY+1a8/f4979PYunSSWaPFRb24tpr/dHZOdhlNpBPP/UsMzk+nkJDg/nnfuwYD8eO5QIAbrnFgFdf1YNubDBpEoXff1fgwgU+1q71wbff9rsi77tPjPvuA3bsUCE8nL32/+7E1nU5sGsAnYVGz0w3bbzpzl3qxSouAKBWAy0tBJqbeWhqItDcHIa2tnBkZJCYP18LiaR7UM2TM2Og2bZcaHHxpu+NxmPFZajxwwOhv1C9Xm/V7WBrrr01XLFciosJLFggNIs1zJ9P4q23WtDQ0Ms8JpdTSE0VoKsrYtAxAgMp+PoC7e2efXENFJaBfPUVH199ZfyOnn9ejyefNAr22LEUdu5UY9MmDTZuFOH99/u/uwceEAO4Fq++2oOlSwEvdDsPYqC7hu4aIJPJUFtbCz6fb5byzGbXAG8TF0db7kulBPbu5aO+nhYQHpqbjfHFzk5bx/FFdrYfrrgiCldcocesWVr09HQ5NQbaHQF9znJhiYFzV+yttKe/UGtWhlKpRElJCUiStDjX3tZxHbVcVCpg/frB6cWff67D9deTkEoJRrC2bgWeftrcBB87lsKUKSS+/pqP3l4Cvb0YVaxdK8DatQJMmybEZ5+pERlJITqawuuva7BmjQavvOKD11/vF5knngjCE08A77yjws0360eFyACWuwbQLjS6w7Wfn59Z1wBXFi5vExd7Yi4dHQR++kmA778X4NAhvs0EFV9fCmPGUBgzhkRsrDHB5cQJY0ZjcTEfxcV8bN7sg8hIMRYu9Me110bjiisM0Go1THLAUGOg2XaLsd0ReTjxKHEZWLti70Av+rU8Ho8RJVNaW1tRXl6OmJgYq3PtreFoQL+3F5gzR4jq6v4LLCODxK5dOsTFGf/N4/HQ0SGEr6/5rnTsWAqTJpH4/ns+zp8fJSuoDU6eFCAlxR8JCSR+/VWJuDhjV+Z//lODv/9dg7ffFmHt2v7PaNkyMZYtA379VYn8fHbTw12BLbedacdg01kpMpkM1dXV0Gg0LnUN8EZxsbRQt7UR+PFHAX74QYA//+SDJPv/pkmTDMjKIhEbS2LMGMrs/6Gh/bVaprS3E9izh4/ffhNg714B2tt5+PhjHj7+WIi1azVYsQJmnZ5tjYHmYi79eIS4WKtdcZSBQmAwGFBdXY3m5mZMnDgR0dGOdw12pA+YXA5ERpoLxosv6vH00wZmt02SwAsvBGLHjkvNXpeVRaKsjHdRiMpA6ut5mDDBHz4+FI4cUSA1lYJEAjz9tBbZ2b/j0KG5ePXV/oSLK6+UYPZsPd57T43oaM+PxziLadcAOuOJdqHV1dUxYkS7a4aqUPdmcWlpIfDDD0ZBOXKED4rq/ztycgy4/no9rr1Wh3HjHL8eIiMpLFmix5Ilemi1wJEjfHzzjQAffCDCmjUiTJ1qwOzZxnXF1hjo9vZ2kCSJ4uJis+xAV1yb7p5C6U5GXFzYbDhpKi4KhQLFxcXg8Xh2zbUf6phD3ZhKJRAebn4RHTyoxfTp/Rd7URGBvDzL8aCyMs8ruhtuNBoCublGF8ChQwpMnkxCJAL+9jc5Hn2UwBNP+ODHH42B1T//FCAtzR/PPafBihVaq2MARgumGU9xcXFm7evpCnXTILSlccPeJi5tbULs3x+MPXvEOH7cXFBycw244QYdrr1Wj6Qk9jYYIhEwb54Bl1xigFZL4LPPhFi61Bd//qm0uJExLbCNj4/HgQMHkJaWhr6+PlbGQLt7CqU7GVFxGap2xVFoIWhubkZFRQXi4+ORlpbmkplK/66tG1OtBkJD+4UlLY3En3/qEBho/LdcDtx9twD//a+5VSIQUIN6cnEYmTPHuFt75ZUg5ORQiIig8PHHapSUaHHFFRIolcbP7Z//9ME//+mD//5XiTlzRs5VNtyL9sD29Xq9ftC44cDAQDMXmjeIi04HfPutAO+8I8KJE3PMnps+3YDrrzcKSkKCey1WggBefVWNkhIeKiv5uOceX/z0k8pqPz6gP94bFhbGNLt1dQw0F3NxEDbGD1uCx+OhtrYWfX19mDx5skNz7a1Bx2es+VI1GiAyst8amTmTxP79/U0kOzqA+HhziyY52YDaWj4nLHbw5JOz8eSTQGWlHHFxFCZPJtHSIse33wpwzz39bqCrrpIgNdWAXbtUiIkZXleZJ6RKCwQCREREICLCmHGoVqsZFxrdUVgsFoMkSabq25OERqEAPvhAiLfeEqGhge4nRmHqVA1uugm47jo9Uy81XEgkwEcfqTBvnh8OHxZg7VoR1q7VWn29qfeFxtUx0Eql0qXBhCPJiPhiCIJgXE1sCUtfXx8UCgXUajVmzZrFirAA/ReKpaC+VgtkZYmg1RrPPzaWwh9/9AtLVRUxSFimTSNRW3vxxVVcZcIEf9x2mxgajXFXedNNerS19eGRR/pv9poaPtLT/bFliwg2JhpcFPj6+iI2NhYTJ07E7NmzkZOTA19fX2i1Whw/fhxHjx5FVVUV2tvbbY5/cDcdHQTWrRNhwgR/PPusLxoaeIiIIPHccxp8+OE+fPttJx5+WDfswkKTmkrhrbfUAIDXXvPB4cPW7117PDD0GOjMzEzMmjULU6dORVhYGHp6elBYWIg///wT5eXlKC4uRmVlJVOh7w42btwIgiCwYsUK5jGKorBmzRrExsZCLBZj3rx5qKiocOr4I+YWYyujgqIoNDY2oqqqCj4+PkhMTHS6utYS9MUyMKiv1wOXXSZEfX3/hXT6tJZpXXLmDIHs7H6L5tJLddi3T4iTJ4dHz/38KMyaRSE7m0RNDYHOTgK+vnooFN3o7fVFX58/mpsJ6HTmN8KkSSTS0/sQF9eJ1NQE/P47D99+6xli+MsvAkREBOBf/1Jj2TIdxGJg40YNHn1Ui2uvFaOmxnie69b5YN06Hxw9qkBmJrt94bwROi5AF3JmZmYyjTfpJo+0qyY0NHRIVw0b1NYSePNNET7+WAi12ngNjh1L4q9/1eL2243f7cGDKo9oAHr99XrccIMO330nxIEDfMyaZdn96mgBpa0x0F988QW2bNmCoKAgtLa2YuzYsbjssstY2zSfPHkSO3bswKRJ5oXcW7ZswSuvvIKdO3ciLS0N69atw4IFC1BdXe1wZ+YRExc2rBW9Xo/y8nJ0dXVhypQpqK+vZ73JJGApCw248UbzBpKtrRrQSSFnzhCYNKlfWBYvNuDnn90bcb7kklbcc48ABBGETZv4OH2ah927CezebXpzimDsoGyd0lIeSkuDAARZfD4zk0RAgLH6fqR46ilfPPWUL/78U4FJk4yppqdOKfHLL3zcdlt/4kZenh+eflqDVau0Nn3lFwt0zGXgBEiNRsO40CoqKmAwGJiuASEhIaxWiBcX8/DaayJ8/72ASSHOyTHgiSe0uOYa8xomNiv0XSUjw7iutLZa/xxcTUM2jaM9++yzePjhh3HLLbcgMDAQW7ZswZIlS7B48WL89NNPTr8HYIzjLFmyBO+88w7WrVvHPE5RFF577TWsXr0aN954IwDggw8+QFRUFD799FMsX77coffx2luup6cHJSUlEIvFyM/Ph4+PD5qamlhvjw+YpyOTpDE4b7po19Ro8L/O36iqopCd3e8K8/Oj8PPP7tn5L11qQF0dgX37eDhwIBoHDrjlbcyoqDC/eZ54Qg+FgsCOHcNv3cye7YeYGBIFBQoEBACLFhlQX9+H++8XY/du46X98ss+ePllH5w6JUdqqvtcK54Uv7CGtYC+j4+PWR0HPZTLtO8WbdWEhoY63HiTooB9+/h4/XUR9u3rX3Lmz9djxQot5swxWKw/cbRC353ExhqvnZYW6+fDdnV+YGAgVCoVnnjiCdxyyy3o7OzEhQsXXD7uI488gquuugrz5883E5fa2lq0trZi4cKFzGM+Pj645JJLcOTIEe8RF2dvRoqiUFdXh5qaGowbNw7Jyf0zRdgYGGYJ2nIhSeChhwRmkyILCrSIjzf+XFyswcyZgWa/q1Cwu+g8/bQeV15JYv58EXbuHHl31auv9l9CPj4UcnKoYbVqWlp4GDMmAC++aExJDg4Gvv5ahd9/5+PGG/utmNxcf6xercHf/tbvumQLTwjo24M9Fe8Dh3LRjTe7urqY1Fp756To9cD33wvw+usilJQYX8PnU7jpJj0ef1yLrCzrXga6T6CniEt0tPFcW1qsf35s9xUDjKnIdBmF6UgBZ/n8889RWFiIkydPDnqutbUVABAVFWX2eFRUFOrq6hx+L6+yXLRaLcrLy9Hb24upU6ciJCTE7Hk22+ObQvcX+89/ePjgg/6L59dftZg40biw/PmnDPPnx7D+3jTbtumgUBB4+mkBXn7ZbW/jEhoNgWPHzPuo/f778CwOL7zggxde8EFNjRxRURTmzzegsbEP990nxm+/GS/z9et9sH69D0pK5EhO9g5BYBNnUpFNG2+OGzcOWq2WyXaqqqpiWqHQr/H394dKReDjj4XYulWECxeM379EQuGuu3R49FGtXWnEpl06PAE6A9GWuLBdnU9bkWxNoWxoaMDjjz+O3bt324xLD/zMnU1h9xpxoefaBwYGIj8/36JpzuPxoNVaTxV0Fj6fj5YWAn/9a3/c5MMPjTNLSJLEzz834Oab01h/XwB44AEDTp4k8NBD3lclSAvLwoUdqK4OR12d+xeK1FR/PPpoM/72Nz2CgoLw1Vcq7N/Px7XX9lsxkyf7Y/NmNR58UGfRHTOacXWxFolEiIqKQlRUlFkrFONUzjrs3ZuAzz5LR2en8f4MCyPx4IM63H+/Fv8L8diFsQaOh5MnhTh1Sohjx/g4cYKPri4CFAWzNH6CoEBRBHx9KVxzjR4PPKDF9Okkq98t7Rbr6OBBqzUWWw6EbbcYwG77l1OnTqG9vR25ubnMYwaDAQcPHsTWrVtRXV0NwGjBxMT0b5Tb29sHWTP24PFuMUtz7a39rjvdYtOn93dQXr9ej1tvJaFWq/HddzW4556pzHPR0ZTNoJ+9LFhA4uTJkYllsM3u3f3dnrOzSRQXu9ea2bo1Flu3Ah99tBtJSRKkpITh3LkwPPhgCPbsMYr0M8/44t13hfjtN6VDi543w3YRJd0KRSLxQ3FxEtasEeHMGeP1GhWlwvXX1+CqqzoQGxsMigqFXh9sszq9s9M4n+jYMT6++UaChoZr7DoPunJfrSbw1VdCfPWVEFlZBtx/vw633KIDGzWIoaEUhEIKOh2BtjYC8fGDrS93uMWUSiVrRZSXX345ysrKzB675557kJGRgWeeeQZjx45FdHQ09uzZg5ycHABGb9GBAwewefNmh9/Poy0XjUaD0tJSqFQqs7n21nCXW2zPnn7VnjOHxJNPGiCVSlFQUIZ77rmCeS4nh0RRkWsLp48PhQ8+0OMvf/E+S8UeaGFJTyfNmnu6gzvvXIjHH2/FjTeeQXd3DZ56ygcLF47D3/6WAgA4c4aP5OQAj2uE6S7cUaF/9Cgfzz/vg+PHjYtqaCiJlSu1uO8+PXi8OHR3+0Mmk6GmpgZqtdqsa0BgYCAqKvj49FMhdu0SMC40Nigr4+Pxx/l47jkfvPqqGrfcMrihrSPweEBEBIXmZgKtrZbFhW23mFarhU6nY80tFhAQgIkTJ5o95ufnh7CwMObxFStWYMOGDUhNTUVqaio2bNgAiUSCO+64w+H381hxMZ1rn5OTY1c/HneIi0IBrFuXzvz755+1OHfOOIL45puvYh6fN4/E/v2uXVhffKHDSy/xR62wmEILy6JFOvzyi/v+3tdfj8brr0fj3LkeEIQM4eEyfPrpQTzwwEzI5UbfxpVXSvDYYxqsXat1up2/p8QGbMGmuFRV8bBmjYhJsReLKTzyiBaPP65F/x5QaNY1gG68efZsH958sxdffx2O7m72atIs0dtL4NFHfZGdrXApW1ChMHZjBmC1oNMdI44BDGv7l5UrV0KlUuHhhx9GV1cXZsyYgd27dzslcAQ1QqkuFEVZjI+QJIlz587hwoULyMjIQFxcnN03RGtrK2pra5GXN/QkR3u5+WYBdu0yXjCffqpCfPwpqFQqVFfPwGOPGTPDQkIodHW5dtN+9ZUOt9wy+kXFGrfeqsOXX7r379+50zg+GQDkchXWrOFhx47+7Bux2IDduy8gIyPIoU62p06dwpgxY5zquj2c1NTUAABSU1OdPkZTE4GNG43FjyRJgM83BuqffVZrs+2OWg38/LMATz3lA6l0+DPApkwx4PfflU7XOx0+zMeiRRLExpKoqlJYfA0bn68p9fX1yMrKglardajZpafgGXl+/0OtVuPkyZNobW3FzJkzER8f79BOi23LpbiYYISFICiEhByAQCBAdnYeIywAXBaWRYsMF7WwAGCEZfJk97mnli4V44orxDAYAH9/MV5+2Qd79vQvFCoVH3PmjMMbb9Tg+PHjOHv2LGQymVtcrSOBK5ZLdzewZo0IOTl++PBDEUiSwDXX6HD8uBKvv66xKCwUBRw7xseyZb6IjAzA0qViVoVl/HgDli3T4umnNUNeN4WFfPzrX47V55hy8qRxHZg2zfr7uGOWi0Qi8Zh0bEfxGDlsb29HWVkZIiMjkZub65RSsykuBgMwc2b/xfjmm/uQnJyMxMREJCWxM3o2IUGL+noRfvnF+4P2bEHXQ4SGkpDJ2L+pjh4VICQkAOXlciQkUJgxg0RDQx+uukqC0lLje//zn3m47bYe/PWvZ5jJg6ajhyUSiVe4wQbijLio1cB//iPESy/5MJuovDw91q7VYMYMy3UqUinw/vvmg97cwenTfJw+zUdqqgGPPKJDS4semzdbf8/Nm0VYtEiPSZMc7+JBt22yJS7ucIux2R1huBlxSSRJElVVVSgpKcH48eORlZXltAnIpri89Vb/RTJrVjOmTvVDUlISfvuNz/heXWHhwg7U1zu/kxrtyGQ8CATu89hOnOiP//zHaC0FBQGHDinx8stq5vkvvgjClVdOxbhxs5iaKqlUipMnT+LIkSMe0fTRURwRF4MB+OwzAXJz/bBqlS+6ughkZBjwxRdK/PqryqKwXLhA4K9/9UFycoDbhcWUmho+VqzwxcGDfHz/vRJiseXrRq8n8O23jq8tFGVquVgXJrZTkb15CiUwguJCEASUSiWOHz8OqVSK/Px8xMbGunRMtsSlsRFYubL/Ily/XgaBQAC1Grj+etfdV1u26M3SczksQ9cyLFggd8vxn3zSFxMn+kGrNXZafuABHQ4d6neT9fURSEsLQHl5EBISEpCdnY05c+Ywo7Jra2vx559/Qi6Xo6OjAz09PR5drW+PuFAUsGcPH3PmSLB8uRgNDTzExpJ46y0VjhxRYtGiwa1aCgt5mD5dgkmT/LFz58htmI4eFeCPP7Q4cqTP6mtstW+xRlMTgdZW42bHlvvNXW4xb7VcRswtptPpcOzYMURHRyM9PZ0Vxbd3aqQtKIrCnXf27042btQhIoIHhYLElVe6LiyffqrDHXdc3PEVR9mzx5gtk5REspquChhHLIeHB6C4WI6xY43zYurq+nD55X44e5YuApVg7VoNHn9cO6jpo1qtRmFhITQaDUpKSgDArA8Xmx26XWWo+6K0lIdVq3xw8KBxWQgKovDkk1osX67FwEGutAjdfLNzE17dxRtvBCM6+jCmTp2AgoKQQc87U4NGWy0TJ5KDPgdT2HaLefMUSmAELRehUIiZM2diwoQJrH0h9HGc7Yys1+uxdWs9jh7tv4IeecR4wRQUSFzumbVmjZ4TFhe4cIGHgAD3WAbZ2f746ivjohoSAhQUKPD00xrm+eef98Hll0ugGJAo5OvrC5FIhPj4eMyZMweTJ0+Gn58fWlpacPToURw/fhw1NTWQSqUjnhhgTVw6OwmsWOGDuXMlOHhQAJGIwmOPaVFSIscTT5gLi1YLfPKJAEFBAR4nLDRbt87EwoVqi881Nzt+PFpcpk61/f2xbbm4c5bLcDCiAX0/Pz9W3QimUyMdFay+vj4UFxdj06b+0apffaWDSARotXw8/HC6jd8emsmTSaxZ4zH5E15LX59xcUxPN6C6mt1EiPvuE+PHH3X48EM1eDzg+ee1mDvXwLSOKSjgIyYmwGqHZYIgzEYP0yNuTftw0a3sQ0NDhz1YO1BcdDrgnXeE2LTJB93dxsdvvFGHtWs1g/p/9fQA//mPCC++OHyxFGdpbuYjPHyw1QIAjY0kjh8/znwHthpv0pw4MXSmGMC+5cJmdf5IMKKrHUEQrIqLramRtmhqakJlZSVIMg1SqfHmycggcfXVRgto3br+GShBQRR6ehxfEEpKRjx3YlRRXc3HzJl6HDvG7iX8ww9CBAUJ0dLSBz8/YN48A6qq5MjI6L/Jc3P98fXXSixcaPs6Mx1xS/fhouemnD9/HkKh0MyFJhS616o1FZe9e/l49lkfRqAnTTJgyxbNoE4FXV3Av/7lgzfe8K7kk7Y2AnPm6HHokPn1oVCIEB09FiqVFNXV1dBoNGaNNwMCAswE+Px5gskUG6qLAxfQN2dUbaXpQUj2iovBYMDp06fR1taG7Oxs3HFHf0LBBx/oQRDGtuFfftlf0+KMsHC4B1pYkpNJ1NayK94xMQHMJMvYWAodHX1YsqR/TszNN0uwapUGzzxjLAS2p5W9n58f/Pz8EB8fz7Syl8lkqKurQ2Vlpdk0yMDAQNbrG4zjKkR4+mkxfvnF+HeEhZF44QUt7rxTZ9adoLcX2LzZB2++6V2iQlNXx7M47sLHh0JsbASEwghQFMV0Dejq6kJ9fT0AMOMEQkND8e67waAoAvPn65GYaHsj7I6APme5eBD2iotCoUBxcTH4fP7/uiyLceiQ8cIICKAwebLxQnryyf6PyN+fglzumLgsWWLAJ59wdSzupLaWh1mz9Dh8mN3LOS/PD1u3qnHXXTr4+ABffaXCW28JsWqVMUi/YYMPDh7kY/VqxxcU01b2gPk0yLKyMlAUZVZbIxaLXfpbenuBt99OxFdfjYFOR0AgoLB8uQ7PPNM/6A4A5HLjaIK33vIMUZk61YCCAsfvn5oaHhoaBt+rWVkkaAORIAhIJBJIJBLExcWZjRlubW1FWdk5vP++cXDWX/7SAb3e12aZhDvqXNjqKzYSXJTi0traivLycsTFxSEtLQ08Hg8//dS/QHz1VX/tgmlXYkeFZfFiTliGC7aFhebRR431E++8owZBAI8+qkNWFolrrjHGYf78U4BFiy7BoUMX4Mp484HTIE0XuTNnzkAsFjNCExISYvciRpLGepU1a3zQ1mZcqC6/XI9NmzRIT+9PfFEqjWLpae6vggI+ZswwMI0x7aWpiUBHx2DRnzLF+tpgOmY4OTkZ77/Pg1wuxJgxGowZU45Dh1QIDAxkRN/UuqQoinXLRalUenxLIVuMeMyFbWyJC0mSqK6uRlNTE7KyssxmFCxd2v9RzJ1rtFpOnHDt/AoKuDjLSJCTY0BREXui/uWXQvz2mwC1tXIIBMAllxhQWirHpEn9Los5c5KwZ4/CatW6IxAEgcDAQAQGBiIpKQl6vZ5JDDhz5gw0Gg2TGBAWFmY1MeDECR5WrvRFYaHxsxgzRoXnnpPh9tsDmVoVtRp47TURNmzw3ED98eN8zJ+vx++/279cWZsAm5trn8ucooB33zVaqA8/TGHWrJlQq9WMddnU1ASSJBmhoTu2czGXfi4ay0WlUqG4uBgURSE/P58ZHQoYg5b0xZiXRzJjcBcudD7A+tFHOtx5J5d2PBIUFfGxZIkOn3zC3uff00MgNDQAdXV9CAkBkpIoNDf3YfFiCYqLjQvKggV+eO01Ne69l92qfYFAwHQXNo0TSKVSXLhwwczFFhoais5O41TOL74w/v0BARSeeUaDGTNOIjExBgQRCK0W2L5diNWrPacOxxa//y7AwoV6JuY1FCkppMUNRm6ufeJ//DgfpaV8iMUUliwxfp++vr6IjY1FbGwsKIqCXC6HVCpFR0cH07Ty7NmzCAsLYyVBg4u5eBiWxIXuWxYdHc1UV5vy6af9/1671tg1V6UyDh9yhksuITlhGWE++USIiRMNKC9n1y2ZmNgf6Pf3B/bvV+LBB2X4/PNEAMCKFb74808+tm9Xwx3JX5biBHRiwNmzjfjkEx2++SYNarUABGFcGF94QYuoKAqnTpHQ6429wp580jtExRRHOu3ILTR1CAykkJJin7hs32788m69VYf/hcXMIAgCAQEBCAgIQFJSEhQKBY4fPw6hUIgLFy6goqLCLEEjKCjIYZcZJy4u4G63GEmSqKmpQX19PTIzM622l3nqqf6PIT/f6BJbu9b5RUkqdfpXOViETWGhR+kCxkD/hx+qcP31evB4wLJl5zB3rg8eftjoH//6ayH27eOjoEDh9imXPB4PwcEh+PPPCKxe7cN0MMjK6sN995Vi3LgutLWFQKsNxd69YVi3jp128CMBXW9iD/X1gxfynBwD7FnfW1sJ/PCDcU1Ytsx+RePxeEy7fTpBo6urCxUVFdDr9QgJCWHcaPbUOCmVSs4t5knQ4qJWq1FSUgKdToe8vDyrO4DTp/u/4JtuMjDpmK++6txHEx9Pobyci7V4Gpdeqse+fc5f7hRFICqKRFub8bu96y4xnnxSgzVrtKAoCldcocSxYwrMnGlcDKRSHpKT+60cd1FRwcOzz/rgwAHj3xYbS2LtWg1uuQUAsiCXy/Hzz2osWzbWbecwXFiLo1hCoxn82iuusG8a5fvvC6HXE5g50/4OygMzxQYmaCgUCrMaJ4FAYJagMXB+EP073my5jLpVkM/no7e3F0eOHIFYLMbMmTNtfkHvv9//ETzwgNHicSWQbyn9kWPk2bdPgOXLBw+nc4S2Nh6iovoXm1de8cH8+RLQ3YYmTCBx4UKf2Wvy8vzw00/s7+GkUuCpp3wwa5YEBw4I4OND4W9/06CgQIFbbzXWaJWX8zFmTOyoEBZX8fWlcMcdQ1shWq1RXABjI1N7sZUpRhAE/P39meanc+fORWZmJnx8fNDQ0IDDhw/jxIkTg9oEsZmKvG3bNkyaNIlJFMnLy8Mvv/zCPE9RFNasWYPY2FiIxWLMmzcPFRUVLr3niIoL224xOsjW2tqK1NTUIdv36/XAG2/0Pz97ttElduutzjnLx41z3w6Vw3W2bxfh/vtdFxjT/mYnTvCxcOHlTHwuNBQ4fVqB227rX5iWLBFj7VoR2GhGodcDO3YIMWWKP955xzi067rrdDh5UoHnntPC39/Y+j4wMACzZnmvS4Vtbr5ZbzF2MpD33hOitdW4ibj2WvssHcCx6nwej4eQkBCMGzcO06ZNw+zZs5GYmAi9Xo+qqircfvvtuPTSSxEQEICGhganeyWaEhcXh02bNqGgoAAFBQW47LLLcN111zECsmXLFrzyyivYunUrTp48iejoaCxYsAB9fdY7TA/FiI05BoymJFvzMLRaLUpLS9Hd3Y3w8HBkZ2cP+Tu//spjWujffbcB27fr0dUFxMR4blomh+vk5elx9Cj71kRNjRxRUf230zvvCPHUU/2B87w8Pb77TmWzs64tDhzg45lnfFBZaVzEMjMN2LRJg0suMe50OzsJXHGFGDU1XG3VQPbtUwyZKSaTGRuYdncTePVVNe67z/61qaOjAxcuXMC0adNcOk+KolBZWYldu3Zh27Zt0Gg0EIvFmD9/Pu6//35cfvnlLh3flNDQULz00ku49957ERsbixUrVuCZZ54BYIwZRUVFYfPmzVi+fLlTxx8VbrGuri4cPnwYfD4f8fHxdmdl7N3bbznddpvxBv36a+c+kpwczmrxFo4eFSA4mJ09lelAs9RUf1RW9l8/y5bp8N//Ks3eNzo6AE1NjlnstbUElizxxTXXSFBZyUdICIVXXlHj0CElLrnEALkcuOMOX4wd688JiwVycgx2pSBv3Ghs4DlhggF33+3YppetAkqCIJCZmYnHHnsMMpkMp0+fxvfff4+0tDT09va6fHzAeK6ff/45FAoF8vLyUFtbi9bWVixcuJB5jY+PDy655BIcOXLE6ffxarcYRVGora1FQUEBkpOTkZ2dDZFIZHdvsW3b+m9EunDymWec29FefjknLt4E3QU4MdG1702vJxAX19+Hf+ZMP+zZ039dzZljQEmJeV7s+PH+OHFi6FtPLgfWrhVh+nQ//PSTEHw+heXLtSgqkuP++3UgSeC553wQGxuAXbu41Hdr2OMKrariMZNJN23SwNFhuO5oWgkAISEhmDVrFl588UXccMMNLh2zrKwM/v7+8PHxwYMPPojvvvsOEyZMQGtrKwCYFZXT/6afcwavtVx0Oh2KiopQV1eHadOmISkpyeHGlfSkw8xMkrmYlErnBO/ll0dd4t1FQV0dD4sW2e9bt0Rjox8mTeqf/XLTTRL8+9/9i31yMoXGxj5MmNB/Xc6f74dPPrF8zZAk8PnnxhHDL7/sA42GwLx5ehw+rMRLLxl7gf3nP0KEhwfg9dc9q12Lp+HrS+Gmm4b+flet8oHBQOCqq3SYN8/xuTvuGBRGEITLPeVMSU9PR3FxMY4dO4aHHnoId999NyorK5nnB272XRm6CHipuPT09ODIkSMgSRL5+fkINum8Z6+4dHX1//zUU8bXOzvL6d57R3YIFIdr/PKLAEuXuhboLy31wZw5/YvYypW+eOKJ/thdYCBw+LDSbBf90ENiPPGEj9l1d+oUDwsWSPDAA2K0tPCQlETi009V+OEHFSZMIPHLL3wEBwd4ZRHkSHDffbohY1y//cbH778LIBRS+Oc/NbZfbAV3dURmM+lJJBIhJSUFU6dOxcaNGzF58mS8/vrrTP+ygVZKe3v7IGvGEbzKLUZRFOrr63HixAnExcUhNzcXIpH5zs1ecSkv73/vqVONLrGjR537It97j/Nzezs7d4rMJk86w6FDAlx6ab/AvPuuCJddJmGyxPh84JVXNNi2TWX2mrw8CWpqCDz0kC8uvdQPJ0/y4edHYc0aDU6cUODqq/UoLOQhMDAAt93mmdMfPRGRiMJTT9neNOh0RqsFAB56SIeUFOdice7oiOzuYXIURUGj0SA5ORnR0dHYs2cP85xWq8WBAweQn5/v9PG9xpej1+tRUVEBmUyGKVOmMDPMB2KvuBw40K+r9JyGDz7gROJi5uWXfbBhg5ppqe8M+/YJMHeunplDX1DAR1iYP9rb5YzrdckSPVJSFFiwwJgqXFXFR25ufy3W7bfrsGaNBjExFM6dI5CT472FdCPJc89pEB5uWyzeeUeImho+wsNJ/O1vzm8u2I65sF2dv2rVKixatAjx8fHo6+vD559/jv379+PXX38FQRBYsWIFNmzYgNTUVKSmpmLDhg2QSCS44447nH7PEXeL2aPMfX19OHr0KDQaDfLz860KC2C/uOza1f+n08WxH33EicvFzqpVvtiwodOlYxw8KDBr7a7XG5temva7mjaNxJo1gxez557TYPt245jl8HB/TlicJCaGxIMP2s74kkoJbNpkvPmfe06L/zU2dgq23WJyuRwSiYQ1y6WtrQ133nkn0tPTcfnll+P48eP49ddfsWDBAgDAypUrsWLFCjz88MOYOnUqmpqasHv3bpeKOEe0zgUwml+2ToEeQZyYmIjU1NQhP+yenh4UFBQMmQ/u69vvD1erNYMe47i4eeSRErz11mSXjpGSQqK3F2hv7190zpyR4+xZHlav9mF1LACHOXTvN1s89ZQP3nlHhIkTDTh0SAlXDI/KykpIJBIkJSU5fxATPv/8c7z//vsupQKPNCNuuVjDYDCgvLwcVVVVyM7ORlpaml0qbo/lYqplU6YYU1E1rrnbOUYZb701GevXN7p0jLNneTAYgLlz+xe5tDR/LF4sQVERH/7+FJ5/XoOWlj48/LBrCQUc/UyZYsB119kWlpISHt57rz/12FWPljssF29uWgl4QMyFIIhBlgs9gpjH4yE/P9+hdDyBQACSJG2m0TU19f98xRVGcSkp4XqCcZizenUc3n1Xhfvucz4dVCrl4eDBwYtOYiKJvXuVCAmhsHGjCG+/zaUUs8W//qWGrX2oSgUsW+YLg4HADTfoMHeu69mebAf0vb0jMuCBlktrayuOHj2K0NBQzJgxw+E8b3r3YMt6qazsv/IyMozC9t13jn8Ud9/NpSCPdu67T4wPP1QN/UIHqavjYfFiMcLCAvDyy5w7li3+8hfdkNX4a9b4oKqKj6goEq+8wo7Lwh1FlN7cERnwIHEhSRKnT59GeXk5srKyMH78eKfMTLpRpS1xMW2Jn5xsFJedOx2/MGprOWvnYuCuu8T45BN2BGbDBjXz85kzXMyFbR5+uMlmv8I//uBj2zajlfjWW2qEhbETcnaHW8zbxcUj3GK2RhA7czyCIGyKS2FhvyjQ4tLV5bhQWHJ3cIxOliwR47PPVLj9dtcqpl1Jc+awzfPP10GjOYtDhxQIDAxk5qUEBgaCx+NBJgMeesj4+d93nxYLF7LneXBHhX5ISAhrxxsJRlxc2tvbUVxcbHUEsaPY0wJm375+UQgPd+ntOC4ibr+dHYHhYJ9Fi/R46qlQEMQMZgqkTCZDWVkZKIpCcHAI1q+fiJYWHlJSSKxfz24GD9tuMZVKhbi4ONaONxKMuLgoFAqMHz/e6ghiZxhKXKTSfivFjQWwHKOQ228XY/t2FZYv5wTGk3jzzf4g/sApkH19ffjoIxK//BIIHo/E44+fRGOjgJkCyYYocNligxlxcUlOTra70aS9ONK8koPDUTZs8MEDD2ixYweX4eUJfPqpCpGRlmMnBEGgpycImzYZF+qVKzVYvDgCMpkMZ86cgUajQXBwMEJDQxEWFuZ0yxV3uMW4mIuLuKN3jr3iEh1tvCCNAUAuY4fDPurqeJyweAh/+YsOV19tvaaFJI1xlp4eAtOmGbBypR4CQQQiIiJAURRUKhVkMhmkUikuXLgAPp/PxGpCQ0MH9S60BEVRrFsuSqWSExdPxF5xUauNrWWKiooALHD/iXGMOlJSSJw9yyV2jAQCAYWXX1bbfM1bbwlx8KAAEgmFHTtUZnNaCIKARCKBRCJBXFwcSJJET08PZDIZ6uvrUVlZiYCAAEZogoKCLAoIPYaYbcuFc4t5IPaKS18fcOzYMadaNgQHU8zAKY6LF05YRo4ff1QhMND682VlPLz4otEjsXGjBuPG2U47pmfb0/PttVotY9WUl5eDJEmEhIQwLjS6Bo9tcaEoCgqFwqW+Xp7AiIvLSLrFDAYC2dnZiIiIcPg9oqI4ceHgGCmefFKD2bNtJe0Y08e1WgJXXqnH0qWOjS0GjPNPoqOjER0dDYqiIJfLIZVK0d7ejpqaGvj6+iI0NJQRAXfMc/FmRlxc3IEtcVGr1TCNr0RERDg1JEyt5oSFg2MkuPRSPZ57znovNr0eWLpUjAsXjMPW/v1vlctZoQRBICAgAAEBAUhKSoJer0d3dzekUilqa2sBAEVFRYxV4+qgL84t5qFYExepVIqSkhIAi8wed6ZpZV0dJy4cHMONnx+F999X2Ww0+Y9/+ODAAQH8/Ch8/rkKoaHsn4dAIEB4eDjCw8MRGxuLoqIiREZGQiaToa6uDjwej4nVhIWF2ZUYQEO7xTjLxUWGwy1GURQuXLiAs2fPIiMjY9DruY7IHBzewd69Spti8emnAqYJ6PbtakyYYLvPGBvQBZRxcXFMYkBvby+kUikaGxtx+vRp+Pv7M0JjLTGARqlUgqIoLubiifD5fKa/kF6vR1lZGXp6ejB9+nQEBQXB35+CXN4vamrbCSccHBwewEcfqWyKRUEBD48/bmzvsnKlBtdea7vtPlsMrM7n8XgIDg5GcHCwWWKATCZDRUUFDAYDgoODERYWhtDQUIjFYrNNtlKpBACvt1xGZaoLbbnI5XIcPXoUer0e+fn5CPrfqLmBGwLBqJRYDo7Rw9NPa2zOaGlrI/B//yeGRkNg8WIdVq0avvk4QxVQ0okBEyZMwKxZs5Cbm4vg4GB0dHTg+PHjOHr0KKqrq9HR0QG1Wg25XA4+nw8fH9dr7zZu3Ihp06YhICAAkZGRuP7661FdXW32GoqisGbNGsTGxkIsFmPevHmoqKhw+b1HXFzc5RZTKBQ4evQooqKiMHXqVDOfp5+feUoi11+Mg8NzufRSPVavti4WGg3wf/8nRnMzD+npBuzYYRwTPVw4UkBJEAT8/f2RmJiInJwczJ07lxmEeO7cOeTk5GDJkiWIjo5GYWEhk+bsLAcOHMAjjzyCY8eOYc+ePdDr9Vi4cCEUCgXzmi1btuCVV17B1q1bcfLkSURHR2PBggXo6+tz6b1HfMwxAGhYDHqQJIlTp05BJpMhJycHkZGRg14zZ44QJ08aLwaVSgOC4EYcc3B4IuHhJAoLFQgOtvw8RQGPP+6DnTtFCAqi8McfCqSmDu+S1tzcjPb2dmRnZ7t8rOrqanzwwQf4+OOPQVEUhEIhFixYgOeff95ivNhROjo6EBkZiQMHDmDu3LmgKAqxsbFYsWIFnnnmGQDG9TgqKgqbN2/G8uXLnX6vEbdcAPasF7VajZMnTzIFSJaEBQAmT+6/+LTcdFkODo/l99+VVoUFAN59V4idO0UgCArvvacadmEB2O2InJ6ejssvvxzh4eHo6OjA999/j5SUFPj6sjOqoaenBwAQ+r+siNraWrS2tmLhwoXMa3x8fHDJJZfgyJEjLr2XR4gLG3R1deHo0aMQi8VIT0+3+dpp0/pNTdo69PUdcQOOg4PDhEOHFBg71vp9uX8/HytXGj0Oa9ZosWDByDSrZbuvGF3jIhQKMWvWLKxdu9apLiIDoSgKTz75JGbPno2JEycCME7+BYCoqCiz10ZFRTHPOYvXiwudZlxQUIBx48YhKysLQqHQZoV+Tk7/BXvhgtFquuYa96cscnBw2Mdbb53G5MnW78miIh7uuEMMvZ7ATTfpsGLFyLkg2O6I7K4plI8++ihKS0vx2WefDXpuoPeIoiiXPUoeIS7O/hF6vR4lJSWora3FtGnTkJCQYNewsPT0fnH5/nvjR3D11Zy4cHB4Alu21GL6dIXV58+eJXDTTWLI5QQuuUSPf/9bPaJzmdgeFKZUKlmvzn/sscfw448/Yt++fWZDyKKjowFgkJXS3t4+yJpxFI8QF2eQy+U4duwYtFot8vPzEWzimB1KXEwz/HbuNF4U+fmcuHBwjDSvvKLGZZfJrLqZWloI3HCDBJ2dPGRnG/DJJyqwkLHrEp48KIyiKDz66KP49ttv8ccffyA5Odns+eTkZERHR2PPnj3MY1qtFgcOHEB+fr5L7+2VFR6tra0oLy9HfHw8UlNTB32xfD4fer3tAqqAAAp9fQTa241bnjFj3Ha6HBwcdvDMMxrcf78O1dWURUuguxu48UYx6up4GDuWxNdf2+6KPFx48qCwRx55BJ9++il++OEHBAQEMBZKUFAQU7y5YsUKbNiwAampqUhNTcWGDRsgkUhwxx13uPTeHiEu9rrFSJJETU0NGhoakJWVZdVs4/P5oCgKJEla3VEsXWrAm28a//yeHuB/9ZUcHBwjwKJF9bj++ha0tYVBr9cP6sWlUgG33SZGRQUfUVEkvv9eaXX65HDjjoA+W+Kybds2AMC8efPMHn///fexdOlSAMDKlSuhUqnw8MMPo6urCzNmzMDu3btdbj/jEeJiDxqNBiUlJdBqtcjLy7NpNtK7CFvicumlFN580/jzqVMELrvMMy5UDo6Ljb/8RYsNG4DubhHq6uogl8uZ6nTj3JQA3HOPGEePChAUROG771RISvKc+9UdlktYWBgrx7KnjJEgCKxZswZr1qxh5T1pvCLm0tXVhSNHjsDHxwczZ84c0h9Jf9G2XGOZmf0xliNHjB9DdjYXd+HgGE7uuEOHbds0CA8PQUpKCqZPn85MfVQoFCgqKsZf/tKDn38WQiQi8dFHvZg40bPuU7YD+qOhIzLgIeJizS1GURTq6upQUFCA5ORkTJo0CQI7GoHxeDwQBGEzqJ+Q0P/zJ58YL4zly0cmT56D42JkyRId3n5bPah9PkEQCA4OxsSJE/HHH5djz5548HgU/vGPcpDkfpw8eRLnz59HT0+PXTtzd8O2W8wd2WIjgce6xfR6PSoqKiCTyTB16lSEhIQ49Pt8Pt9mXx6CAAiCAkURqK0lQFHAX/5C4qGHXD1zDg6OoViyRIe33rLcA4x2Z7/2mgivvmp0j73xhgZ33ZUMrXYMpFIpZDLZ/2YzgWllHxoaykqzR0fxljqX4cYjxcVoDhdBKBQiPz/fqQvGnoyx//s/Eh99ZLwoGhrMrRkODg73cPfdWrz+usZqc0mKovDOO6H417/o6nsN7rrLOEJDJBIhJiYGMTExoCiKmZvS1NTEzE0JCwtDWFgYAgMDWbUorMFZLpbxCHExdYu1tbWhrKwMcXFxSEtLc/pLG6rWBQCuuqpfXE6c4CEhgcSttxrw5Zfs7UI4ODj6ufdeLV55xbqwAMCHH8bjvfciAACrV2vw5JOWq+8JgkBQUBCCgoIwduxYs7kpZWVloCgKISEhjNi4y6rhYi6W8QhxAYy7lZqaGtTV1SErK4upHHUWe8Tlyiv73Wavv87HzTeT2LJFz4kLB4cbWL5ciy1bNDar6TdtEuG998YCAJ5/XoOnn7a/rQs9NyU6OhoURaGvrw9SqRQtLS2orq6GRCJhhGaoaZCOwKZbjB5x7O1TKAEPEReNRoNTp05BrVYjLy+PFdW2R1x8fQGJhIJSSeDkSR4MBsBFTePg4LDAc88ZhcKasFAUsHGjCJs2Ga2LlSu78PTTzi9PBEEgMDAQgYGBSE5Ohk6ng0wmg1QqZaZBmlo1znYdpijKLW4xznJhCbVaDR8fH+Tk5NiVDWYP9ogLAHz0kR433SQEAOzezcO0ae2YOlWIggLL7fo5ODgcY+tWNRMzsQRFAevWifDSS0Zhue++ajzyiBiAY0k8thAKhYiKikJUVBQoioJcLodUKkVbWxvOnDkDsVjMCE1wcLDdYkEnDbHtFuNiLiwRHByMSZMmsXpMgUBgl7iYusaWLOHhiy+KsH79JFxxBaunw8FxUfL550osXmz9PqQoYO1aERO837BBjZycWvB4E912TgRBICAgAAEBAUhKSoJer2esmtOnT0On05lZNWKx2Oqx2BYXkiS5mIunw+Px7BIXPh/IzzfgyBE+lEo+xo2bgbFjPaBhEceog8+nYDCMYPveYWb3biVmzrQtLC+8IMJrrxmFZeNGNR55RIdDh0i3jD+3hkAgQGRkJCIjI5mYh0wmQ0dHB2pqauDr62tm1ZgKCb3GsOUWo8cPj4aYi0cUUboDe91iSqUSd9xRxPz7q6+MpvjMmZ5VBczh/RgMBBYvtp0eP1o4cUJhU1hIEli1yocRli1bjMJifM562yZ3Q8+4T0hIQE5ODubMmYOUlBRQFIXq6mocOnQIxcXFaGhogFKphF6vZ4q22UCpVAIA5xZjC3fsUuwRl87OTpSUlCAvL4Z57IUXBFi50oBXX9UjL09k47c5OBzn55+Nt1xoKAWZbPRZMfHxJH77TYm4OOuV8zod8PDDvvjiC2Os8+WX1Xjggf6YzEiKy0AEAgEiIiIQEREBiqKgVCohlUohlUpx7tw5CIXGv6GzsxMhISEuu8cUCgWEQuGIFIOyjUeIizsQCATQaDQWn6MoCrW1tTh37hwmTJiAMWPG4KGHDNi2zXhhFBQQmDZt5NtKcIxeRqOwXHmlHu+9p4KtcIFcDtx5pxh79wrA51PYulWNJUv6rTmKokBRlMeIiykEQcDPzw9+fn5ISEiAwWBAY2MjamtrUVNTA7VajeDgYMaFJpFIHN4407NchtMt6C485htk+8O0FnOhp1fW19dj+vTpGPO/QS6mfcVeecUoMtu3W89w4eDg6OfppzX4/HPbwtLZSeDqqyXYu1cAiYTC55+rzIQF6O/i64niMhA+nw9/f3/4+voiLy8PM2bMQHh4OLq6unDy5EkcOXIEVVVV6OjoGLJbCM1oyRQDRrHlYsktplQqUVhYCKFQiLy8PDPTMyOj31L57js+FAo97r6bxPLlw3bKHBxeybvvqnDLLbYXzwsXjBMkz53jITSUxFdfqTBt2uC4Jp195S07d9MCSolEAolEgvj4eBgMBnR3d0Mmk+HcuXNQqVQICgpirBpr1gktLt7y99vC87cHTjIwFbmjowNHjx5FWFgYpk2bZtGn+eab/ZbKhx8aP5q33+asFw4Oa+zbpxhSWMrKeFiwwCgs8fEk9uxRWhQWoF9cvMFyAaz3FePz+QgLC0NqaipmzpyJmTNnIjIyEj09PTh16hSOHDmC06dPo729HTpd/xrDpuVy8OBBXHPNNYiNjQVBEPj+++/NnqcoCmvWrEFsbCzEYjHmzZuHiooKVt4b8CBxYVupacuFoiicP38excXFyMjIwPjx421Mp+y/4J94QgiSBO65h8sa4+AYyPjxBlRVyZGba/v+OHSIj0WLJGhr4yEz04Dff1ciNdV6PNPbxMXe1i9isRhxcXGYNGkS5syZg/Hjx0MoFKK2thZ//vknTp48iRdeeAE1NTWsiYtCocDkyZOxdetWi89v2bIFr7zyCrZu3YqTJ08iOjoaCxYsQF9fHyvv7x3foBPQXZEtxVesIRQCr7zSv4t44w0+CAJ46y3OeuHgoLn/fg0OHlQiNtZ20st33wlwww1i9PYSmDVLj19+USImxvbvkKSxxsVb3ELONK3k8XgIDQ1FSkoKZsyYgby8PEgkEpw6dQovv/wyCgoKsHTpUnz++eeQyWROn9uiRYuwbt063HjjjYOeoygKr732GlavXo0bb7wREydOxAcffAClUolPP/3U6fc0ZdSKi06ng0KhgFarRX5+PoKCguz6vQcf7N+JPfusAHI5cO+9nPXCwQEAK1cW47rr9qC6uhTNzc0WMzIpCnjpJRHuvlsMrZbAtdfq8N13KgQHD318T80UswYbfcV8fX2RmZmJXbt24emnn8b06dMRHR2NTZs2ITY2FnK5nKWz7ae2thatra1YuHAh85iPjw8uueQSHDlyhJX38Jhvkc2dSkdHByorK8Hj8TB16lSIRPbXq/B4wLff9lsqjzwiAEGYx2M4OC42goNJFBQosHr1WEyZMgWBgYFoaWnBkSNHcOLECZw7dw7d3d1QKEjcd58v/vlPY0xz+XItPvhADXv7QtKWi7fA9qAwtVqN5ORkbNq0CcXFxWhqanJLK5jW1lYAQFRUlNnjUVFRzHOu4jHiwgYUReHcuXMoLi7G2LFjQRCEU7uKxYv7LZUvvuCjtha47z7OeuG4OLnlFg1KSrqQlKSGXq+HRCJBQkICcnNzMXv2bCQkJECtVmP//jOYO5fC118LIRBQePllOV56STNojLEtPKmA0h7Y7og8MKAfFhbG2rEtMVDIKYpiTdy951scAr1ez7RlmDFjBmJiYuxq/2KNw4f750hce60QPB7w3Xec9cJxcfHWWxq8+64OQUECZoduMBig1+uh1WpBEAQiIyOh1Wbh2WcvRU1NMIKC9Ni0qQgpKXtRUFCA2tpa9Pb22jXv3hvFhU3LZbimUNLzsgZaKe3t7YOsGWfxmDoXV9SSHossEomQn58PkUgEjUYDiqKcvlhzcylkZJCoquKhpoaHgwcJLFpEQiQyQKvlholxjG5SU0l8+aUGaWkUAB74fOM9RJIkM8OEJEmQJInvvhPg0UclUKkIpKcb8NlnKqSkpEKjSWC6DdfX14PP5yM0NBTh4eEICQlhWqeY4m3iwrZbTC6XY+zYsawdzxrJycmIjo7Gnj17kJOTAwDQarU4cOAANm/ezMp7eIy4OEtHRwdKSkoGjUU23WU5e7F+9ZUeWVnGeM3ChSIoFBp8++1+XH315eycPAeHB7JypQ6rVulgYe03u79IEtiwQYCNG433yPz5WuzYIUdgIAWdjoBAIEBUVBRiYmJAkiR6enoglUpRW1uLiooKi0WFF2NA3xQ2LRe5XI6zZ88y/66trUVxcTFCQ0ORkJCAFStWYMOGDUhNTUVqaio2bNgAiUSCO+64g5X391pxoetXzp8/j8zMTMTGxpo9byoulnZI9pCaSuHGGw349lvjsd5+m4+cHGDnzg4sXRrh2h/AweFhCAQUfv5Zg1mzho4v9vYCDz4owg8/GJeQxx7T4Z//1ILHEzJWjalbmsfjISgoCCEhIUhJSYFKpWKsmtraWgiFQoSFhbE2LHC4YNtyYXOWS0FBAS699FLm308++SQA4O6778bOnTuxcuVKqFQqPPzww+jq6sKMGTOwe/du1tr9E5Q9jtBhgCRJs0pVW+j1epSVlaGnp4fJXLHE7t27MWvWLJd2Ap2dQFxcfzX/998fRnZ2HG64IR5FRd6zw+LgsMWllzbgqafqkJQUgvDwcPj7+1t1VZeXE1iyxAdnz/IgFFJ4/XUt7r57cHyTFhjalUYvNXSiDf1/ulUKPRlSp9MhNDTUrAGkp1JYWIjY2FgmhuEql112GZ544gnWrIeRxLu2CeiPr/j4+DDxFWvYO9PFFuHhwH//q8VVVxnf5/rrZ+HMmfPYt0+N4GDPveg5OOzlm2/UmDfPD52dkejo6MD58+chEokQHh6O8PBwhIaGMrvzTz7h4/HHRVCpCMTFkfj4Y63VVi48Ho9xGdHxGfq/gVYNPfnR398fzc3NCAsLQ2dnJ86ePWtzWNdI4+5sMW/Gq8Slvb0dpaWlg+Ir1mBDXADg8svN3WOPPBKOv//9OLZtC8JDD01x+fgcHCPBfffpsG6dDkbD3xdxcXGIi4uDwWBAV1cXOjs7UV1dDY1GA4kkFDt2TMCXXxqH6c2fb8C772oQHm7few0UGjrZhv6Z7hqs0+kgEAgwZswYxMfHQ6/Xo6urC1KpFFVVVYOsGl97C2jcBJtuMXoK5miYQgl4ibiYxlcmTpyImJiYoX8J7IkLAHz0kZ4Rlz17AnHppYlYsSIGf/xhwFdfec5OisP9SCQUlErvKfQbSHAwhU8/1eCSSyxbHHw+n7FaKIrC6dNq3H23BJWVYhAEhTvvPI+//rUPPF44SDLY4Z37wKQb2pLR6XTo6OiARCJhxIbH4yEsLIwZ1qVQKBj32ZkzZyCRSBihCQoKGvZkAE8O6I80HiMu1vy7er0epaWl6Ovrw4wZM6zGVyzBprjw+cDhwxcwa1YSAGDVqrG45hotPvhAz4nLRYZSSSA0lIJKBahU3iUyTzyhw9//roO969dvv/Fx//2h6OoiEBZGYccOJXJyeOjs1KGsrAwkSSI0NBQREREICwtzaoIiHXcpKyuDQCBAeno6AJhZN4BxjRCLxYiPj0diYiJ0Oh2TFFBeXg6KosysGkc6czgL23UubAb0RxqPERdLyOVyFBUVMcN4HL1Y2BIXkiRRXV2N7u5mbNqkxLPPTgAAZGWJ0NmpQXe3BsHB3j+W9GKDIChQlHPi4G2TJGfONGDrVi3Gj7cvf0etBp57Toi33zZmWk6bZsDHH2sRF0cAiEJUVBQoikJvby86OzvR0NCAiooKBAYGMlZPYGCgXfVrWq0WhYWF8PX1xaRJk8wsAdqqoYWGvp/p5pYRERHMufT19UEqlaKpqQmnT59GQEAAIzT2noujsOkWMxgMUKlUnLi4Gzq+Eh8fj9TUVKdMT7ozsitotVqUlJRAo9EgLy8PsbF1+PNPGXbtCgUAXH21EPv26dDUpMGYMZzAeBM33WTA11977C3AGu++q8Fttxlg79paWUngnnt8UF5uvOceekiHDRt0GLi3IwgCQUFBCAoKwrhx46DRaCCVStHZ2Yn6+nrweDxGaKylGWs0Gpw6dQr+/v6YOHHioPvcUqzGtIDTtEW/n58f/P39kZycDK1Wy8y6b2xsBEEQjNCEhoY6XZ5gCn0ubLnFFAoFAIyamIvHpCIDYKrqz507h9raWofiK5YoKipCSEgIkpKSnPp9uVyOwsJC+Pv7Y9KkSRAIBKiuroZabcCMGTnM6/7+dz1eeMGA8+eBCRM4gfEWPvxQg7vuGr3f1yOP6LB6tQ52NgQHRQE7dgiwapUQajWB8HAK27drcOWVjvfVI0kS3d3d6OzsRGdnJ5RKJYKDgxEeHo6IiAhIJBKo1WqcOnUKISEhmDBhgsOWhb2pziRJore3lxEbhUKBwMBARmxspV3bwmAw4MCBA5g9ezYrLrjm5mZkZGRAo9EMi0vP3XjUts00vjJz5kyXFdwVtxhtOSUmJiIlJYW5+Ph8Png8LaqqNMjIMC5MGzcKMGEChVtuIXHokBZz5nj/hXExkJc3OpuRXnWVHuvX62wO5RpIRwfw0EM++OUXo4tnwQID/v1vDZwt36BnloSGhiItLQ0qlQodHR3o7OzEuXPnIBKJoNPpEBISgvT0dKcWd1tWzcBU58DAQAQHB2PcuHFQq9WM0NTV1UEgEJi1pbG3kJO2mthyiykUCvj4+HhdIak1POavMBgMOHr0qNPxFUs44xajKAq1tbU4d+6cRcuJDj4mJQGFhVpMmWI8zzvvFIKidLj1VhJff63DzTe7bnZzuJehBld5GxMmkHj5Za3VLDBr7NnDw/LlPmhrIyASUVi3ToeHHtKDzcQrsViMhIQEJCQkoKenB4WFhRCLxejr68OBAweYpIDw8HCn0ovN29IY/35Tq4ZeBwiCgFAoRExMDMaMGcNYWFKplJl1HxwcbFbAaU34aAFjyy0ml8uZNjijAY8RFz6fjwkTJiA0NJS1D9dRy8VgMKC8vJxphWApM8304p0wgcKff2oxe7ZRYO66SwiS1OEvfyHx+us6PP44JzCeDEEACQkk6uu9u9NCZCSF9eu1uO02g0Pt7fv6gNWrhXj3XeN1On48iffe02DSJPeJbl9fH4qKipCQkMA0aJTL5ejs7ERLSwuqqqrg5+fHuM8CAwOdTnW2t4AzODgYoaGhSE1NhVKphEwmQ2dnp1kxqaUCTjrewtZ6pVAoPLobgaN4jLgAQEREBLNwswGfz7e7pYxKpUJRURF4PB7y8vKsplQOFKypUyns36/FvHlGgVm61Cgwy5eToCgdVqzgBMaTWbDAgHffNV+8xo8ncfq05wtOQIDRyrjrLv2gYPtQ7NvHw8MPixhhffBBY0GlWOyGE/0ftMWSlJSE5ORk5vGAgAAEBAQgOTkZOp2OSQooLi4GYJxpQi/wzng07C3gJAgCPj4+iI2NNSsmlUqlqK6uhlarZToJhIWFua2vGGe5eAH2Wi5dXV0oKipCZGQkJkyYYHOnRAcITZk5k8Lvv2sxf77xwr/3XqPAPPggicREHW64gRMYT0MoNO7Oc3NJvPuu+XNRURQAzxUYPz8Kq1fr8MADeofFQC4H/vEPId55x3hNJiaS2LbNcVeao3R1daG4uBjjxo1DQkKC1dcJhUJER0cjOjoaFEWhp6cHnZ2dqKurY1KdafeZMwuxtQLOganO9GvpWAxFUVAqlZBKpWhvb0dNTQ18fHxAkiS6urpYKeAcTa1fAE5c0NjYiNOnTyMtLQ0JCQlDXqzWjjl7NoVfftFi0SKjwNx/vxB6vQ5Ll5IoLdVi0iQuyO9J/N//Gb/D/PzBi+r+/Xw895wW+/bx8eefnlMgGx5O4e9/1+Huux0XFQA4cICHhx4Soa7OuAguW2a0VtxdViGVSlFSUoL09HSMGTPG7t8jCALBwcEIDg5GSkoK1Go1k31WW1sLgUBg1v/MmUC4I6nOvr7GFjkJCQnQ6/Woq6tDY2MjKioqYDAYzAo4nSkmHU0FlMBFLC50YWRzczOmTJli9zhRS5YLzaWXUvjpJy2uucYoJA8+KERnpx5PP21Aa6sG0dGjN+3VG5g8mURJiXEhWbLE6ApJTaWQnk6iutp81/nPf4rw8stazJ9vwPr1Quh0I+eqGDNGgRtuOIebb1YgNjYcPF44APuvpa4u4PnnhXjvPaO1kpBgtFbmzXN/tlxHRwfKysowfvx4l8oKADCLe1xcHGMxdHZ24syZM1Cr1YyVER4e7lTswppVY+pKA/pTnf39/SGRSDB16lTI5XJIpVI0Nzejuroafn5+jDvP3gJOLubiRtj2NVoTl4GFkY58oUNZQwsWUPjhBx2uu854I//jHwLs3cvDjz/q0NenQXCwCAbD6PCpehuzZhkYcZkypX9hveEGAzZtGuzSePppERYv1mPXLg2OH+fhm28EzO8PB3PnGvDXv+qwcCGgVEahs7PTrPqcDnoHBARYvHcoCvjmGz7+9jcR2tuNz993nw7r1+swHHV6bW1tKC8vx8SJE1kbnUtD9xwLCwtDeno6FAoFOjs70dHRgTNnzkAsFjNCExIS4pTLaqhUZ7VaDYIgYDAY4OfnBz8/PyQlJUGr1TJtaUpLS0FRlFkBp7W40WizXDyqiFKv17PWCwww1qqcOXMGs2fPZh6js1VMCyMdgQ5Kmg7hsURlJcGkKdOcP69BTAxw9dV67N07enyr3kBqKomamv4FRqFQMj+3tAATJoih1VoX/VmzDLj8cgOSkij09hKQyYDeXgLd3QR6eow/y+VAXx+Bvj5jexiFwrlNxN1367FsmQ45OZZvTa1WyyykUqnUzD0UFhYGPp+PujoCK1aIsHu3cReenk7ijTe0mD17eGp7mpubUVVVhaysLEREDO9gPb1eD5lMxtTVGAwGxooIDw93ymU1ENrVl5KSgsjISKsFnHSLHLquRi6XM21pBsaNXnzxRchkMrz33nsun58nMKrFhW5od8kllwCwXhjpCH19fTh+/Djmz58/5Gu7uzHIFbZ9+wWMGVOBlpYZWLbMzn7lHC5z9qwKKSnGQMX8+Qb88IPG7PknnxRi+/aRS7yYMIHE0qV6LFmiR3Cw/b9n6h7q6OiAQqHF779n4v33E6FS8SASUVi5Uocnn9SDhTXVLhobG3HmzBlkZ2cjNDR0eN7UCnTPMTpW09PTY2b1OdNzjE4AomNIA1OdTZdU2vqhLSC6RY5UKoVMJgOfz2c6f5SVlUEkEuHNN99k9TMw5e2338ZLL72ElpYWZGZm4rXXXsOcOXPc8l4eJS4Gg8HlXmCmdHd3M1YG3bI/KyvLpalxSqUShw4dwhVXXGHX6w0G4K67BPjmm/7A8EMPqfDSS4BSSSIpSeLV7du9gX/8Qwt/f+DZZ42W5NGjqkG1HN3dwPTpvmhqGj63V3Q0idtuM+Avf9GzUluybx+Bp54SorraaI1PnNiJp56qwZQpxrqRoKAgt6e51tXV4fz588jJyUGwIyo5TNBWX2dnJ6RSKQiCMLP6huo5RgtLWloa4uLiBj1vKdXZVluanp4eHDp0CKtXr0ZjYyPGjBmDRx99FIsXL3aqJY4tvvjiC9x55514++23MWvWLGzfvh3/+c9/UFlZaTODz1lGtbj09fXh6NGjiIyMRHd3t82RyPaiVquxf/9+XHHFFXZ/8Wq1Gps2NWHTpgnMYyEhFIqKFAgPJ/DRRwI89BAX7HcXcrkS/v79cTVTl5gpJSUErrjCF3197luAJRI9rr2WxB13kJg3j3So6NEajY0E/v53Ib791igq4eEU1q7V4vbb1ZBKO5nFlF5I6fb4bLcZOX/+POrr61m5z4YDenGnPx+FQsH0PwsPDx9ULT+UsFh7D3utmv/7v/9jxGjv3r2YOXMm/vjjD9b+3hkzZmDKlCnYtm0b89j48eNx/fXXY+PGjay9D41HBfTZRqfTgSRJJnDPhq+VziQxGAx23Zx0jOamm8Jx/fUqzJxpdM10dRFISvLHO+9ocOedBlx7rRJjxoyeTBFPobq6Ad9+2+9+XLNGa/W1kydT+P13NW6/3Qfnz7NnwaSnGzBpUhNmzerGkiVJkEjYue00GuCNNwTYskUIpZIAj0fhgQf0+Mc/dAgJAQBjm5OYmBhmIe3o6MC5c+dQVlaGkJAQpmbElSwlutlsU1MTcnNzvaarLz1eOSQkBKmpqVCpVIzQ0P3PaKHh8/koLi52SFjo97CUFECLiGkBp1KpxOLFi/HEE09ApVKhrq6Otb9Vq9Xi1KlTePbZZ80eX7hwIY4cOcLa+5jiUeLCpglI7zIAYMqUKay02AbMW0oMRUtLC8rLy5GSkoLExESQJIkLF/pw7bUSlJYaRWrZMh8sWwaUl6ugUCjxwQd8PPwwZ8Wwwe7dpTh9ug133bWAeezBB5UArNccTZxI4fhxNbZuFeDtt4Xo6HD8mszIIDFtGonp0w3Iy1Oiq8t6S3lnoCjg22/5eP55IS5cMB5v1iwDXn5Za9W9ZrqQpqWlQalUmmVXSSQSxqpxpCCQoiicOXMGbW1tmDp1qlcXAdKDyOLj42EwGJiMr8rKSmi1Wvj7+4OiKKhUKoidKDSyVcApk8lw9OhRpoO7WCxGRkYGa38bndgwMGsvKioKra2trL2PKR4lLmzR0NCAqqoqpKamoqqqCmx6/ugLxFbigenYgMmTJyMiIoJJYQwP5+HoUQ3++18+br21X0QmThTj/vt12LxZhzvvVOKxx3jYuXNk54N7MzU1KsTEpGDmzEzmsaefrsLx42cQFBSEiIgIpvX7wE2NRAKsXKnHk0/qcegQD8eO8VBaykNbG4GeHgIaDeDvD/j7UwgPp5CcTGHcOArjxpHIySGZgDw9siEiIgIZGRmsbJ5OnODh2WeFOH7cuEDFxJBYv16HW2+1f16L8W+UMI0k9Xo903KlpKQEFEUxO/bw8HCrGzPjCOTTkEqlmDZtmlMLrqfC5/MREREBoVCI5uZmJCcnQyAQoK2tDdXV1ZBIJIzV52x1Pm3VdHd345ZbbsH06dOxbt06N/w1/Qy8BimKclsczqNiLiRJ2t0LzNrvV1VVoaWlhclU+e2333DJJZeweuHv2bMHeXl5FnPS6XGt3d3dyM3NhZ+fH+NvHdjkTqkE7r1XhJ9+Mtf4jz+WITT0OAICIrFq1WQcOjQq9wBuo71dCT8/YNUqIV5/3bgwBgdTaGxUQaNRMzt2mUwGHx8fRmiCgx2fB2+Nnp4eFBUVIS4uDuPGjXP5Br5wgcALLwiZ4WYSCYUnn9Thr3/V2z2y2B5MW64Ys88UjBibxiFIkkRlZSV6enqQm5vrVCdjT6e7uxtFRUVISUlBfHw887hp/7POzk6mjoUWY0f6n/X29uL6669HYGAgfvzxR7d9jlqtFhKJBF999RVuuOEG5vHHH38cxcXFOHDgAOvv6VHiQlEUtFrrPnFbaLVaFBcXQ6vVYsqUKYwP2ZYQOMvevXsxbdq0QUFLtVqNoqIiEASB7OxsiESiQWNZLVFSQiA/f7D4HT6sQnY2hY4OYMYMMdrauKwyW9x6qx7vvqsFQRhH9L76av+Ou7FR+b84RD8GgwFSqZSphzBalv0Bb2ddqaY1EK5m4bS1AS+9JMR//iOATkeAICjceacBzz+vG5aRAWq1mvl8aDEODw9HX18fdDodcnNzWYllehrWhGUgpqOeOzo60NfXh6CgIEZorBW4AkbL9sYbb4RIJMKuXbvcXp0/Y8YM5Obm4u2332YemzBhAq677jq3BPRHhbj09fWhsLAQgYGByMrKMgu0//HHH8jNzUWQveP47GD//v2YPHkyQkxWq97eXhQWFiI0NJRJITRtFzHUzlWvp7B6tQJbt0YOem7vXjVmziTR0QHcfLMPCgo8p9+Vp3DsmApZWRS0WuC663xw8GD/Z1RUpEJamu3LnF4kOjo6mB07HfCOiIiw2/JtbW1FRUUFJkyY4FK7k95e4I03hHjjDQFTjHnZZQasW6fF5Mkjc8saDAam3YpGo2Gq5GmrZjRMTwT6k3CGEhZLaDQas1RnPp/PbFhM+58plUrcfPPNIEkSP//887BU5tOpyP/+97+Rl5eHHTt24J133kFFRQUSExNZfz+vF5e2tjaUlpYiKSnJYmHkgQMHkJWVxWox18GDB5GZmcn0I2ttbUVZWRnGjRuHpKQkxg1G57MPBUmSjO86OXkKnn02FN9/P9gV9tNPalx6KQmDAdiyRYD160fHzewK//qXFsuX60EQQFkZwWTj0dgjLJagJyd2dHSgq6sLfn5+Zj52S5uFhoYG1NTUYNKkSQgPd65AtrcX2L5dgDfeEEImM75Hbq4Ba9fqhqUXmC0MBgOKi4thMBiQnZ1tZtX09fUhMDCQWUi9tXU8LSxDdW+2B3oQGf0ZKRQKvP7665g2bRoKCgqgUqnw22+/DWva9ttvv40tW7agpaUFEydOxKuvvoq5c+e65b28VlwoirKrMPLPP/9Eeno6qy0oDh8+jNTUVERERDDnMGnSJERGRjKBe3uHCNF9zkiSxOTJkxmfq0wGPPGEiPGxm/LOOxrcfLMBIhFw8CAPixaNPn/3UPztbzo895wOfL6xAPLxxwd/VufPK8FGSyvax04vEjwez8x9xuPxUFtbi7q6OqeLB3t6gG3bBNi6VYiuLuN1k55O4oUXdLj2WseC9e5Ar9ebuXwHpuHTO3Y6liUUCs06FrM598RdsCkslujq6sLWrVvx/fffo7q6GsnJybjmmmtw1VVXYd68eaxltHoKHiUugPEiHQq9Xo/y8nK7CiOPHj2K5ORkl6ryLR0zISEBnZ2d6OrqwpQpUxAQEOCwsCgUChQVFSEgIAATJ060eAPKZMDKlSJ89tlgkZk924CXXjKmn+p0wLvvCvDUU6PbmvniCw2uusq42Pb0AP/6lxD/+pf5TfnAA8asO3d4aUx3ox0dHdBoNMw8eGfanXR3A2+/LcBbbwnR3d0vKs88o8PNNzs2WdJd6HQ6FBYWQigUYvLkyUMKBT1kixYbrVbr8hhjd+NuYQGMG8m77roL9fX1+OGHH1BSUoL//ve/2LNnD4qKilh13XsCHicuWq3WZuqwSqVCYWEhBAIBcnJyhvTznjhxAmPGjHFojsRQHDt2DFqtFkKhkDkHukDKnvgKAKZjalxcnF19zqRSYPNmId56y/Lu5rnntLj/fj3CwwGtFnj/fQGefHJ0CM3jj+vw97/3d/I9d47AqlVC7No1WHAttXZxFwaDAaWlpeju7oZEIkFfXx8CAgKYOI0t15BMBrz9thBvvy1AT4/xNePHG0Xlxhs9Q1SA/uI7iUSCrKwsh7PpKIqCQqFgrL6enh74+/szQuNMby+2oYVl7Nixbok9AMYN8b333ouqqirs27fPzJPiznTgkcSrxEUmk6G4uBhRUVEYP368XRf6qVOnEBERwdpupLe3F8eOHYO/vz+mT5/ucOAeMDb2q66uxvjx4xEbG+vQ+5Mk8McfPNx5pw96ey2/14oVOixdqkdKivFzrKgg8NJLQosuNk9EIKDwwgs63HtvfxPHri7gww8FWLXKsmB++aUGixcPn/vIYDCgpKSEyU4UiUSDuhULhUJmEQ0NDQWPx0NdHYE33xTgww/7A/Xjx5P4+991uOEGA1jKhGYFtVqNwsJCBAQEIDMzk5U0ba1Wy7gYpVKpmYvR2YFfrtDb24tTp065XViWL1+O4uJi7Nu3j1UviifjNeJCF0amp6c7JBTFxcUICgoym9ntLO3t7SgpKYGvry/GjBmDhIQE5lztufHoauaWlpZB2WbO0Nlp3P1u3mzdVzt3rgErVugwZw4JicQoTuXlxn5mn38uYILGI0lAAIXly/V48EEd6AQrijKOLfjkEwFTqzIQgqDwww8aXHYZOawxCZ1Oh6KiIvB4PIvxB8DoPjNt+376tAS7do3Hvn1hIEnjyU6cSOLZZ3W47jrPEhXA6CE4deoUQkJCWG+gSDMw4K1SqczcZ+4uyhwOYTEYDHj00Udx5MgR7N+/n1UPiqfjceJC9wOjMS2MzMnJcdinXVZWBrFYjJSUFKfPiaIo1NbW4ty5c8jKykJ7ezvEYjGSkpLstlboOJFCoUBOTg6rOe0UBZw+TeC114T45BPbO7/MTBLLl+sxe7YBqakUs6i1tACHD/Nx8CAPhw/zUVXF/moXHk5h9mwDFi824NJLScTEUIwoqNVASQkPv//Ox44dAnR2Wv9M771Xh8cf77fMhhN6N0+7iWzFH0gS2L2bh9dfF5qlRmdnt2PJklYsWiRAZKTlLgEjiUKhYDoLpKenD9u5mQ786u7uhp+fn1lLGjbPgxaW5ORkpuUK25AkiRUrVuCPP/7Avn373CZgnopHiwtdGKnT6ZxekCsrK8Hn85Genu7U+ZAkiYqKCnR2djLJA2fPnkVtbS3CwsIQGRk5ZI4/XVwpEokwadIkt2eFtLYCX38twDPP2BdzSUggcfXVBsybRyI1lURSEjUoGE5Rxo4CXV0ElEpApQI0GgJqNaDXAz4+GtTXlyMwUIjo6ABotW1QKHoRGBiIiIgIREZGws/PDyoV0NBA4Px5AocO8fHjj3y7mkRef70eTzyhR27u8FopptCLbmhoqE23bHc38NFHAuzYIWD+NoGAws03GydLpqerzDKrfH19mUWUzS4BziCXy3Hq1CnExsY6PfOIDQZWwQNwqDW+LYZLWFauXIldu3Zh//79GDt2rFvex5PxWHGxVRjpCNXV1TAYDJgwYcLQLx6AVqtFUVERDAYDcnJy4OPjwzSbM62D6OvrQ3BwMCIjIwcV3PX09KC4uJjpLzXcC4dWCxQX8/D113yryQBDER1NIjWVQnS08b+oKAoRERQkEqPoKBRKXLhQB4kkGEJhDDo7eWhvJ1BXR6GqikBHh+PfXUQEhdWrdbj6asOwVKIPBV0kO2bMGKuLbkUFge3bBfjsMwEzoyc4mMJdd+nxyCN6xMUN/jvc1SXAGei/MT4+HmPHjvUYa4puSUPfb0qlEsHBwWYtaexluIRl9erV+Prrr7F//36kpqa65X08HY8TF71ej+bmZpSWliI5Odnlvkxnz56FSqVCVlaWQ79Hi1tQUBAmTpxoM3CvVqvR3t7OFNz5+/sjMjISfD4fZ8+eZdqAeMLNSlHGPlVHjhhnwv/2m2ekJS1dqsf11+sxZQqJ/9WmegwymQwlJSUWFyS53DinfudOAU6c6P8sJ0wg8dBDOtx2m8Hu3l+miyhddOdMlwBnoNuduHPRZQt6Y0e3pBGLxXZZfn19fTh16hQSExNZicFagqIovPjii/jwww+xf/9+VjsbexseJy7V1dVMlfPA9tDOUFtbi56eHmRnZ9v9O3TgPikpCePGjTMb8jOU5aHT6dDe3o66ujooFAqIRCLExMQgMjJyWCYBOotGA5w9S+D8eR5KSngoKuKhuJhAays7lpa/P4XcXBKzZxuQmWlAREQP/P1b0dvbDo1GY7eLcbhpb29HeXk5MjIymMw+igIKCnjYuVOAr7/mQy43fqcCAYWrrzZg+XI95sxx3X1nrUuAs+N5rUFnYaampjrc7mSk0ev1ZokTJEkyLWnCwsKYa2m4hGXjxo3Yvn079u3bh4kTJ7rlfbwFjxOXpqYm+Pj4sDZwqL6+Hh0dHcjNzR3ytRRF4cKFCzh79iwmTpyI6Ohohwsj6W6xMpkMkyZNglarRXt7OzMJkI4/0Kmp3gZFASoVhYqKC2hqakZm5kQEBASBogAfH2O7eh8f2L2w0nUQtOVHN/6jPyd3N/OzBT0LfuLEiYiMjIRMBnz+uQA7dwpQUdH/3aWmkrj7bj3uuEPPSkcASwzVJcDZCvjOzk6UlpYy8+C9mYFNJOVyOYKCghAQEICWlhYkJia6LfZBURReeeUVvPbaa9i7d69Dm9nRiseJi16vtzkrxVGamprQ1NSE6dOn23wdLQodHR3IyclBUFCQS61csrOzzbrF0mmX9CKq0+kQHh7O7NaHO7/fWejPqaurCzk5Oaw33KP7VdHBbnpuRmRk5LAV3NGbjAsXLmDy5GyUl4fhvfcE+PFHPjQa4/v7+lK44QYDli7VY9as4U0ysNQlgE7hjYiIsLtLcXt7O8rKylxusumpqNVqNDY24sKFCwDAjFcwrTtiA4qi8Oabb2LLli347bffMG3aNFaO6+14nLgYDAZm9CcbtLa2ora2Fnl5eVZfYxq4pwvirM1gsYY9rVxoKIpCX18f2tvb0d7eDqVSidDQUCYhwFNbmOt0OpSWljLZe+4+T3qIFW358Xg8ZgF1V78qiqJQU1ODqiopKiun47PP/HD2bP8iNGkSiXvu0ePWW/sLPEcS2vKjd+s9PT12dQlobW1FZWUlY5WNRmhXWEJCAhITEyGTyZjPSa/Xm81gcfZapigK27dvx9q1a/HLL7/YXGcuNka9uHR0dKC6uhqzZ8+2+Dw9LZAWBR6P53DFPd3KJT4+3qkEBLo9Rnt7O3p7ez3GLWQKnU7t4+ODSZMmDbulZcnyo33r9MRANt7jxIlqvPVWGH75JREqlfF79PencOutetxzjwE5OSOXCm0P1roEREREICQkBDweD83NzaiqqnKpe7OnI5fLUVBQgISEhEGuMIqiIJfLzVrS0CnzQ81gGXic999/H6tWrcKuXbvc1l3YWxn14iKTyVBaWop58+YNeq6jowMlJSVISEhASkqKQ4F7GldauVhCo9EwQiOTyZggbmRkpN0XPdvQAhwWFmZ32x13Qi8OtNDI5XImNTUyMtKprCqDwYCffqrBE0+MR3u78fezs0ksW2ZsIDkM4zZYh24gSbvP9Ho9JBIJ5HI508V7NEILC73ZGwqNRmPWkkYgEJi1pLFkIVMUhY8//hhPP/00fvzxR1x66aXu+FO8Go8TF1dHHQ+kp6cHp06dwmWXXcY8RlEU6uvrcebMGWRmZiImJoapX7HXDcZ2KxdL6PV6dHZ2Mm4hoVDIuM6Gq9iOTsOld4CemO1Gx2na29udyqrS6XQoKCjBPfdMRUODBMnJJF55RYsFCzzbSnEEiqJQXV2NpqYm+Pr6QqVSMRZyRESEQ7UinoyjwjIQkiQZQe7s7GTiWbT7TCwWg6IofPnll3jsscfwzTff4IorrnDDX+L9jHpxkcvlOHr0KBYsWMAc//Tp02hra2NmbzgauNfr9SgrK4NKpUJ2dvawuK7oXlX0bp2iKGZhcCVbyBYtLS2orKxERkaG12QS0VlV7e3tzCRA0zjNQEHWaDQoLCzE6dOReOyxLISGUigsVIHF8T8jDj37qKGhgekyoVarB3UJoD+noKCgEbdOnYHuLhAXF+eUsAxkYDzru+++w65duzB58mT897//xZdffolrr72WhTMfnXhHipIL8Pl8GAwGUBQFnU7HtJPJy8uDj4+Pw8Ji2spl2rRpw1ZBTaeehoeHM8V27e3tzMhZ2oxnI/5AZ0vV1tYiOzubmbjpDQiFQkRHRyM6OprZhba3t6OyshJ6vZ75nMLDw5k5JcYNhrGKevp0ctQJy9mzZ9Hc3IypU6cy2X2+vr6Ii4tDXFycWZeAkpISAP2tVrwlk5FtYQGMMVd/f3/4+/sjKSkJSUlJoCgK33//PQQCAZYtW4bvv/8et9xyCxYtWsTKe44mPM5ycWbUsS20Wi3++OMP5OXloaSkBP7+/kzDQTrl2d7A/Ui3crGEaZ1Ie3s75HI5QkJCGPeZo4OZSJJEdXU12tvbmSFoowHTDL2Ojg4oFAoAQHBwMDIzM6HXi3HmDA88HoWcHI+6JZyGdoW1t7cjNzfXLteXpVYrw9UlwFloYRkzZozLHT1s8csvv+Cuu+7C+++/jxtvvBFHjhzBTz/9BJFIhPXr17vlPb2ZUS8uBoMBe/bsgUAgQHx8PFJTU80C9/YKS1tbGyoqKphJdZ4YewD6q7rb29vR3d2NgIAARmiGqkmhh1+pVCrk5OR45ELCBl1dXSgqKkJISAgMBgO6u7uZAVYREREjljjBJhRFMfVIubm5Tn+XSqWScQu5s0uAsygUChQUFLhdWPbu3Yvbb78d27dvxx133DEsf/e2bduwbds2pk4nMzMTzz//PGMl0a1mduzYga6uLsyYMQNvvfUWMjMz3X5u9jDqxaWurg6nT59GWloakpOTnQrc0y6irKwsswlyng6dlkrHH3x9fREZGWmxIJGu9eHz+Zg8efKom+dN09HRgbKyMqSlpSEuLg6AMU5j+jlZSt/1JuhO3r29vcjNzWVtrLClLgHurjuyxXAJy8GDB3HLLbfgjTfewNKlS4dNUH/66Sfw+XxmXMgHH3yAl156CUVFRcjMzMTmzZuxfv167Ny5E2lpaVi3bh0OHjyI6upqj/A4eJy4AMYgq6uYzoExGAzIy8uDWCx2qpVLV1cXsrOzPeILcxaDwcDsQDs6OphAd2RkJEQiEUpKShAYGMjU+oxG6PqOzMxMq33rBiZOmHYp9ob4A0mSKCsrg1KpxJQpU9xW6MpWlwBnoYXF3aMBDh8+jJtuugkvv/wyli1bNuKWWmhoKF566SXce++9iI2NxYoVK/DMM88AMK6bUVFR2Lx5M5YvXz6i5wmMUnGhA/cajQZTpkzBsWPHMHnyZAQEBLDSysXbMU23bG1thU6ng5+fH8aOHesVC6gz1NXV4fz585g8ebLdA+foXlW0m5HupEAvoGxZBGxBj17W6XSYMmXKsFmfdNyPFpre3l67ugQ4y3AJy4kTJ3Dddddh/fr1eOSRR0ZUWAwGA7766ivcfffdKCoqgq+vL8aNG4fCwkLk5OQwr7vuuusQHByMDz74YMTOlcYjVxGCICyOOrYHeqCTRCLBjBkzwOfz4efnxwTiIyMjERYWZnN3LpfLUVxcbFcrF2+Ex+MhLCwMBoMBTU1NSExMBI/Hw/nz51FRUWHWisaTOhQ7A50t1dTUhNzcXAQGBtr9uwRBICgoCEFBQUhJSYFSqWQEmXY9uGsBdRS9Xo/i4mJQFDWswgKYZ1UlJyebdQm4cOECq27G4RKWwsJC3HDDDXjhhRdGVFjKysqQl5cHtVoNf39/fPfdd5gwYQKOHDkCAIMs8KioKNTV1Y3EqQ7CIy0XrVbrlLhIpVIUFxdjzJgxSEtLYwL3phkw7e3t0Ol0ZkJjulN3tZWLt1BfX890fzat1DbtUEy3oqHjNN4W4Kddo1KpFFOmTGG1UNB0Ae3s7GSaIo7ENEmdTsfEy7Kzsz1qM2SpS4BpmrMjmxeFQoFTp04hJibGrcJSWlqKxYsX429/+xueffbZEV0DtFot6uvr0d3djW+++Qb/+c9/cODAAXR3d2PWrFlobm42azq6bNkyNDQ04Ndffx2xc6YZNeLS0NCAqqoqZGRkMLn7JEmCIAizG900JbWtrQ1qtZqZJaLT6XD27FnWWrl4InRjxubmZmRnZyPYRvfFgR2K/fz8GKEZ6Z36UBgMBpSXl0OhUGDKlCludWEZDAZmpghd4GraDt+dbkatVovCwkKm55snCctA6HuP/pzolvj2dAlQKpUoKChAdHQ0UlNT3XbtVVZWYtGiRXj00Ufx/PPPe9w1Pn/+fIwbNw7PPPMM5xZzBkfcYhRFoaqqCs3NzZgyZQpCQ0NtFkYSBIHAwEAEBgYiJSWF6VF15swZ6HQ6BAYGgiRJaDSaURVnAYyLIJ1FNG3atCF38r6+voiPj0d8fLxZRlVdXR1EIhFj/QUHB3vUTUi7iEiSHJZCV9MuAKZW8tmzZ1FeXu62QDfdXUAikSArK8vjEzFM771x48Yxm5fOzk6cO3fOapeA4RKW6upqXH311Vi2bJlHCgtgXO80Gg2Sk5MRHR2NPXv2MOKi1Wpx4MABbN68eYTP0ohHWi46nY7pTGwLehFRqVSYMmUKJBKJS61cMjIyGKump6fHq11CA6GTHEiSRE5OjkuxFHqnTrvPAJgNQRvJ3TO9kxeJRJg8efKI7+QHdrymu+/SO3VnFzC1Wo1Tp04hKCgIEyZM8HhhGQrTiZL0NRUeHo7AwEDU1tYiOjoaaWlpblvwz549i0WLFuH222/Hli1bPOLzXLVqFRYtWoT4+Hj09fXh888/x6ZNm/Drr79iwYIF2Lx5MzZu3Ij3338fqamp2LBhA/bv38+lItvCHnFRKpWMO2Dy5MkQCAQOV9yrVCoUFxdDJBJh0qRJZjtcjUbDVL13dXXB39/fzCXkTahUKhQVFUEsFrPuOqEoimmFT8ezTEcWD2dgWaVSobCwEIGBgcjMzPSIBcIUjUbDWH8ymQw+Pj5mjUjtXThVKhVOnTqF0NBQjB8/3iN32K5AW3/Nzc1obm4GRVFm1h/bG70LFy7gyiuvxHXXXYfXX3/dY66b++67D3v37kVLSwuCgoIwadIkPPPMM0yfRLqIcvv27WZFlJ4yXtkjxWWoaZQymQxFRUWIiYlBeno6ADg8g8WRVi46nY7ZfUqlUojFYkZoPL2au7e3F0VFRYiMjERGRoZbz9W0FX57ezsUCsWwpe7SYwEiIyORnp7u0d8JALN+XqbW31CNSOmgtrf8nc6iVCqZvzMuLg6dnZ3o7OxkvUtAQ0MDrrjiClx55ZV4++23PUZYRgNeJy6NjY04ffo00tPTER8fbzVwbwu6lUtKSgri4+MdujhNpyN2dHQwbfA9MfZAz0dPTk5GUlLSsJ+bSqVihMZ0IFNkZCSrmVvd3d0oKiry6LEAtqCtP3oDQxckDkwH7+vrQ2FhodvTcEcalUqFgoICREZGDnKFsdkloKWlBVdccQXmzp2Ld955Z8RdqKMNrxEX03kU2dnZQwbuLUFRFGpra3HhwgVWWrkMjD0QBIGIiAhERUWNeNuQpqYmVFVVecx8dK1WazYETSwWM0Ljyu6TFtDU1FTEx8ezfNbDj6WCxKCgIAQEBKClpQWJiYmDJiuOJmhhiYiIGNIyc6VLQGtrKxYtWoTp06dj586dnLC4Aa8QF71ej5KSEigUCuTm5joVuHd3KxfTMbzt7e0wGAxmtTTDdfHSszvq6+sdqkYfTkytv87OTvD5fGaX7ogo0/NmMjMzER0d7eazHhk0Gg3q6upQX18PAJBIJGYZVaPJenFEWAbiSJeAjo4OLF68GBMnTsQnn3wyKjtSeAIeKS6mo47p4KVp4J4kSYeEZbhbudBtQ+haGnreiruD3PQgNJlMhpycHK9IPDCdudLe3g6SJJkFITw83Koo00WgkydP9qp5M44ik8lQXFyM1NRUxMTEmMVpRrpxJJu4IiyWMC1ypT+z3377DZdffjnefPNNjBs3Dl9++eWobdDqCXi0uNCt0aOiopCRkQHA8cA93cqFziAa7hvQUpCbzqZis72KXq9HaWkpNBoNcnJyPK7vlT2YinJ7e7tZgStdzU1RFM6dO4fGxkbk5OQgKChopE/bbdAuv4yMjEFFvZZcQqYNNr2pbQ/bwjIQg8GA4uJivPrqq9i3bx/kcjmuu+46XHfddVi8ePGo3pyMJB4rLnV1daisrERaWhri4+PNZrDY6zbxxFYuSqWSWTx7e3sRHBzMJAQ4KwgajQZFRUUQCoWMdTcakMvlTJymr68PwcHBIEkSKpUKubm5XmGZOUt7ezvKysrscvnRGxhaaPr6+pgarYiIiGEZw+0stGciLCzMrdmMvb29uO666xAUFIQXX3wRu3fvxo8//ojW1lY0NjZ6xNow2vBIcWlsbERJSQkzYtfR+ApgTDE8c+aMxwS0LaFWqxmhMR3s5Ug2lVwuZwZfjYZiOmsolUqUlpZCoVCAoiim7sgTmkayTUtLC06fPu100snAtj0SiYT5rDxhwBfNcAmLXC7HjTfeCJFIhF27dpmJLV3Y6g42btyIb7/9FlVVVRCLxcjPz8fmzZuZ8gnA8wd+uYJHiotOp0NfXx8kEgkTe7HXDUZRFM6cOYOWlhZMnjwZISEh7j5dVjDNppJKpXb18ZLJZCgpKfEoy8wd0Akder0eOTk5IAiCWTzpppH0Z+XtQe6mpiZUV1ezFksamLrL5/OZ+F9oaOiIbUbUajUKCgrcXgiqVCpx0003gaIo/Pzzz8Nq7V555ZX4y1/+gmnTpkGv12P16tUoKytDZWUls3n09IFfruCR4mIwGKDVah0O3Ju2csnOzvZod4At9Ho9Ojs70dbWZnXxbG1tRUVFBdLT05mJiqMRekKmQCCw6PIbWIxIp4PTxYjeZMnRSQo5OTlu2RSZzvHp6OgYsW4KwyUsKpUKt912G5RKJX799Ve3WSj20tHRgcjISBw4cABz584FRVEeP/DLFTxSXN5991309PTg2muvRXR0tF0LhK1WLt4MvXjStTR8Ph++vr7o6+tDVlaWWbv80YZarUZhYSH8/PzsasxoGuSmW9HQu/SwsDCPviboUdpTpkwZliQFSx2K6fifO1qs0AyXsGg0Gtxxxx3o7OzEnj17bHb/Hi7Onj2L1NRUlJWVYeLEiTh//rzHdzZ2BY8Ul48//hjbtm3D8ePHMWPGDCazIy4uzuLFSLdyoVtieNNu1REMBgPKysoglUqZrDdPaRjJNvTQt7CwMKcWIdPRCh0dHUwrGnrx9JSO13RdUkNDA3Jzc0fMFaJSqRihoVus0J8VWy2OhktYtFot7rzzTjQ2NuL333/3iGwwiqJw3XXXoaurC4cOHQIAHDlyBLNmzUJTU5NZNuADDzyAuro6/PbbbyN1uqzgkeICGL+M5uZmfPvtt/jmm29w+PD/t3fmYVHV+x9/D5iKsoOMSwpzxXIhBUYlxQXMBUKYAZ/shtf0VpaFKS1WT2Z6b6EpmpWJaBtlWdycQSGXXFjc0ousihriRois4siwzHbO7w9/51wGUBHOmTkzfF/P0x+emTzfweG8z/l8P5/3+wT8/PxYoZFIJBCJRFAoFHBwcMDw4cMf2srFkmCEpWU+iUqlQmVlZZu7dEuPKlapVMjLy8Ojjz7K2V4S06VXXV3NWtEwpUZzlU+ZbJ2bN28KqvuNiVdg9mm4SJJkhIVpPOHr91Sn0+GFF15AcXEx0tPTu+zCwRUxMTHYu3cvjh8/zpaxGXERcuBXVxCsuLSEpmlUVlZi9+7dUCgUyMrKwsiRI/Hoo48iPT0du3btQlBQkLmXyRtarRb5+fkQiUQYM2ZMmxmGlnfpVVVVaGpqMpqlEXI5qDW1tbUoKCiAt7c3hgwZwss5NBqNkRUN001lSiNSJoeopqaGdZ0QIhRFGVnhGwwG9rvV0VIjEw/g7OzMq7Do9Xq88sorKCgoQHp6umBcG15//XXs3r0bR48ehUQiYY+TspjAYJ5o5syZg7Nnz8LNzQ2Ojo6QyWSIjIy0OgvyxsZG5OXlwd7eHj4+Ph0qfTEzD5WVlVCr1XBxcWEvnkIpB7VHZWUlzp07Z9L2caZ5grGiYe7SGSNSPkqsNE2zVkRSqdRisoKYIVdGaBoaGtjv1r1cr00lLAaDATExMTh16hQyMzMFkSRL0zRef/11pKSkIDMzE8OGDWvz+sCBA/HGG2/gnXfeAXD3RtLDw4Ns6JuDuro6hIeHQ6/XIyUlBXZ2dkhNTYVSqcTvv/+OIUOGsEJjCel894MpDw0YMKDTQUntORN7eHhALBYL6qL2119/4dKlS5wYinYW5i6dKZ8xccVc+sNRFIVz585BrVbzHr/MN42NjazQ3L59G/b29qww29vbQ6PRmERYKIpCbGwsMjIykJGRwdsT78Py2muvYefOndizZ4/RbIuTkxP7uyf0wK+uYHHiotVqER8fjzfffLPNxfHOnTvYu3cvlEol9u/fDw8PD8hkMsjlckilUosSmurqapw9exZDhw6Fp6cnJ39n63JQywC0rqQidgXGqfr69evw8/MTRFcP8L/AKkaYNRpNl0uNFEWhsLCQdRiwJIuWB9Hay4sJ73N0dISvry9vzSYUReGdd97B3r17kZmZaVR2Mjf3+n367rvvsHDhQgDCD/zqChYnLh2loaEBBw4cgEKhwN69e+Hs7IyIiAjIZDIEBAQIurOKuYsfNWoUxGIxL+dgNm2ZclDv3r1ZoTHVFDcTo1BZWQl/f3/B3qkxjruM0DClRuYuvSNPHwaDAQUFBdDpdPD397eofbCHpampCdnZ2bCxsWHdNVo+AXLVbEJRFFasWAGFQoGMjIw2ZSeCebFacWlJU1MTDh06BIVCgbS0NPTu3Rvh4eGIjIzExIkTBdNZRdM0SkpK2MwaU93FGwwGI6Hp0aMH7wFoFEWhqKgIKpXKovYdgP+17TK2PQ96AtTr9cjPzwdN0/Dz8xPM940PmFIYYxQL3C3vMuWzxsZGTtJJmTv+HTt2ICMjgzW2JQiHbiEuLdFqtWyH2Z49eyASiTB79mxERkZi8uTJZitVMBfb27dvw9/fn9OkxoddB7PvUFVVBQDshZMruxDmLl6r1cLPz0/QTQYPgikHMbY9zBMgk7ei1+uRl5cHW1tbXstDQqC1sLR3U9Iyc0WlUrGZKw9TmqVpGmvXrsX27duRnp5uFSUka6TbiUtL9Ho9srKysGvXLuzevRsajQazZ8+GTCbDtGnTTHbR0+l0Rt5ZQrnYtheA1nKWpjMXSp1Oh7y8PNjY2GDMmDFWVR5q7aZgY2MDmqZhZ2dn9aUwRlgcHBzg4+PT4ZwlRmhqa2vRq1cv9onmXp16NE1j48aN+Pzzz3HkyBH4+vry8GkIXNCtxaUlBoMBx48fh0KhQEpKCurr6xEaGgqZTIbp06fzNofAWJzY2dnhiSeeEGzJpL2slYcNQGtubkZeXh77Wa35Lp7JKBGJRKAoihVmJm9FqP/OnUGr1eLMmTMPJSytae0RB8Do52VrawuapvHFF18gPj4ev//+O8aNG8f1RyFwCBGXdqAoCqdOnWKFprq6GrNmzYJMJsOsWbM4m6Sur69HXl4e3N3dMXz4cIvpZmM2uBl3gJbWKh4eHu2WFhk7F8b6w1I+a2dgZjucnJzYFlxmPqSqqgqNjY1wc3PrUNa70GkpLKNGjeLk37Vlp151dTUSExNRUVEBiUSC1NRU/P7775gwYQIHqyfwCRGXB0BRFHJzc7Fr1y4olUqUlZVhxowZkMlkCA0N7XRnFRNk5unpyVrZWCqtA9CcnJwgFotZA8Q7d+4gNzcXgwYNgre3t0V/1gfR2NjIZpTca6CX2Xdo+fNi9h2EOqnfHlqtFjk5Oejbty98fHx4u2EoKCjAp59+ivT0dKhUKowfPx4ymQxRUVGkQ0zAEHF5CCiKwtmzZ7Fr1y6kpKSgpKQE06ZNg0wmQ1hYGFxcXDp04SwvL8eFCxcwYsQIQUwScwkTVFVVVYW6ujrY2dmhubkZgwcPxmOPPWbu5fFKQ0MDcnJyIBaLOzz02nr2qCM5PkLAVMJC0zR27NiB5cuXIzU1FSNGjEBaWhpSU1MxcuRIrFu3jpfzEroOEZdOQtM0Lly4wApNUVERpk6dCrlcjtmzZ8Pd3b3NhaHlwODo0aMF4dbKJ+Xl5WwwUkNDA+vhJRaLBX3h7Az19fXIycnpktlme4aRTOdZR29cTIEphSU5ORlLly6FUqnEzJkzeTnPvTh69Cji4+ORk5ODmzdvIiUlBXK53Gh91poiyQVEXDiAmU9hhCYvLw+BgYGQyWRsJo1Op8P27dsxevRo+Pn5CXZgkCuYREUfHx94eHi08fDq2bOn1aRHqlQq5ObmwsvLi7MJcYPBwBpGMi3hQohXMJWwAIBSqcQrr7yC//znPwgLC+PtPPdi//79OHHiBPz9/TFnzpw24mLNKZJcQMSFY2iaxvXr16FQKKBUKnH69GmMGzcOTU1NUKlUyMzMFIwNOF8wwVe+vr7tJioyF05mn8bGxoYVms5aupuLuro65OfnY+jQobx5WtE0zbaEV1dXQ6vVmiVBkhGWPn368O7bl5aWhhdeeAE//fST0QXdXIhEIiNxsfYUSS4g4sIjNE0jPz8fMpkMGo0GTU1NGD58OORyOWQyGby8vCz6jr01LfNJOmrnwkTvMkJDURR7h86VWSRfMPEAjz32mMmipmmahlqtZoWmpet1VybeH4QphWX//v14/vnnkZSUhGeeeYa38zwMrcXF2u3yucB6mu0FSElJCebMmYMpU6bgm2++QV1dHVJSUqBQKLB69WqMGjWKFZphw4ZZtNBQFIXz58/j9u3bGDduXIe7nmxsbODm5gY3NzcMHz6cbUEtLi6GVqsVbAAaYyw6YsQIk8UDAHcvcg4ODnBwcMDQoUNZ1+vKykq2HNPSioYLtFotcnNzTSIsR44cwYIFC7B9+3bBCEt7VFRUAEAb7z+xWIzr16+bY0mCQzi/rVaIo6MjXn31Vbz99tsQiUTo378/Xn31VSxevBi1tbXYs2cPFAoF1qxZg8cee4x1cLa0TBomJbOpqQnjxo3r9NyGSCSCs7MznJ2dMWzYMKjValRWVuLKlSsoKioyiik2p6Mwkzvj4+PDm7FoR7Gzs4Onpyc8PT3ZifeqqipcuXKFEzNSnU5nNOTLp7AcPXoUzz33HL788ktER0fzdh4uaa9px5J+d/mElMXMDFNPZzJpDh48CE9PT1ZohJ5Jo9PpkJ+fDwDw9fXlrf7f0pW4vr7eJKWg9rh58yYuXLhg1tyZjqDX640m3m1tbdlyY0f3tXQ6HXJyctC7d2+MHj2a1+/hiRMnMGfOHGzYsAGLFi0S3AWalMUeHiIuAuPOnTv47bffoFQqceDAAYjFYkRERCAyMhL+/v6CEhqNRoPc3Fz24mOq/ZHWrsRMABrfQ4hlZWUoLi7GmDFjLKqNvOW+FhNV/CALfFMKy+nTpyGXyxEXF4eYmBjBCQtw7w19a02R5AIiLgKmoaEB+/fvZzNpXFxcEBERAblcjvHjx5t1s7uxsRG5ublsyqC5RE+r1bJPNC2HEMViMacBaKWlpbh8+fI9O+AshZYecdXV1WhqampTbjSlsOTm5iI8PBwrV67EG2+8IShhUavVKCkpAQD4+fnh008/RXBwMFxdXTFkyBCrTpHkAiIuFkJTUxMOHjwIhUKB3377DXZ2dggPD4dcLjd5Jk19fT1yc3PRv3//Tscv8wFfAWhXr17FtWvX4O/vDycnJ45XbV5alxsdHR3R3NyMvn37ws/Pj1dhKSgoQFhYGN555x28++67gvkeMWRmZiI4OLjN8QULFiApKcmqUyS5gIiLBaLVanH48GEoFAqkpqZCJBKxQjNlyhRe5x6YuQ4vLy9Bt1K3tr+3tbU1CkDryEWTpmlcvnwZZWVlkEqlVn83qlarkZeXB4PBAL1eD3t7e3afhmtHhaKiIoSGhmLp0qVYuXKlYL9HhM5DxMXC0el0Rpk0Op2OzaQJDg7m1HGXab815VwHF7QMQKuurgZN0+jXrx/EYvE9A9BomkZxcTEqKyshlUrNFt5mKpiusJ49e2LMmDFt0kmZrBUu0kkvXryI0NBQvPTSS/j444+JsFgpghGXa9eu4aOPPkJ6ejoqKiowcOBA/OMf/8CKFSuM2k5LS0sRExOD9PR02NnZITo6Ghs2bDBra6pQMBgMOHbsGBsVoFarERoaCrlcjunTp3cpSpgx2xRC+21XaDntXlVVBb1e3yYAjaZpXLx4ETU1NZBKpRblVNwZWgtLa7Ft6ahQXV0NkUjExgU8rBXNpUuXEBoainnz5mHdunWCalAhcItgxOXAgQNITk7Gc889B29vb5w7dw6LFi3C/PnzsWHDBgB3v+S+vr7o168fNm7ciNraWixYsABRUVHYvHmzmT+BsDAYDEaZNDU1NZg1axbkcjlmzZr1UHfi169fZzezXV1deVy1aWkvAM3NzQ1arRYajQZjx47tkiBbAkwy6COPPNKusLSGoih20LWqqgo6nc4o1Ot+JdmrV68iJCQEkZGR+Oyzz4iwWDmCEZf2iI+Px9atW3HlyhUAd20hZs+ejb/++ou1qv/ll1+wcOFCVFVVwdHR0ZzLFSwURSEnJ4c11rxx4wamT58OuVzOZtK0B2PIeePGDfj5+VndZnZLaJpGfX09zp07h6amJtA0bdRFZcmBXvdCr9cjNzcXPXr0wJgxYx66+7ClFU3L0DimfNbyZ1ZaWoqQkBCEhIQgISGBCEs3QNDi8sEHH+DAgQM4c+YMAODDDz/Enj17UFBQwL6nrq4Orq6uSE9Pb7ezg2AMRVEoLCxkheby5ct46qmn2Ewapp6u0+lw6tQpAIC/v7/V7zkYDAYUFhZCo9HA398fBoOBvWiqVCo4OTmxDQHW8DTTVWFpj8bGRnb+SKVSsc0Q06ZNw7JlyzB16lRs375d0H5xBO4QrP3L5cuXsXnzZmzcuJE9VlFR0abe7+Ligp49e7JeP4T7Y2NjA19fX/j6+uKjjz5iM2kSEhKwZMkSBAUF4emnn4ZSqYTBYEBaWppJJ+DNgcFgQH5+PgwGA6RSKVvaYWxVNBoNKzSXLl2Cvb09xGIxp/5dpoQPYQGAPn36GFnRqFQqJCcn44svvmDnj3JzczF27Fiyid8N4P3ZdPXq1RCJRPf9j3kyYSgvL0dISAieeeYZvPTSS0avtfelJH4+nUMkEmHkyJH48MMPkZeXh6KiIkyYMAGrVq3Cn3/+id69e+OHH35ARUUFBPyA2yWYCy1N0/D39293z6BXr14YPHgwpFIppk6diiFDhkClUuHUqVM4efIkSkpKcOfOHYv4GfElLK3p2bMnpkyZgvr6ekRERCAxMRGlpaWYPn06pkyZwss5CcKC97JYTU0Nampq7vseLy8v9u64vLwcwcHBCAgIQFJSklFtlpTF+KWqqgqhoaFsw8T+/fuhVCrx3//+F08++SRkMhlkMhkGDRpkFWLOdEkxm9kPe6Fl/LsqKyuNkiO5aNflA71ej7y8PPbplc/yVG1tLcLCwuDt7Y3k5GRWtLVaLa5du2aWyOuEhATEx8fj5s2bGDVqFD777DNMnjzZ5OvoLghqz+XGjRsIDg6GVCrFjz/+2ObLz2zol5WVsTbnycnJWLBgAdnQ54DExEQcPXoUSUlJbGs3TdMoKyuDUqmEUqnEiRMnIJVK2agAT09PwV1EOwJjI8+VxUl77bpCCkAzpbDcvn0bs2fPxqBBg6BQKAQxJpCcnIz58+cjISEBgYGB2LZtG77++mucP3+et5C37o5gxKW8vJwtOfzwww9GX/7+/fsD+F8rslgsRnx8PG7duoWFCxdCLpeTVmQOoGkaNE3f80JI0zQqKirYTJqjR4/iiSeeYB2cvb29LUJompubkZubC3t7e16ieimKMpqlMRgMZg1AM6Ww3LlzBxEREXB1dcXu3bsFs18XEBAAf39/bN26lT02YsQIyOVyrF271owrs14EIy5JSUn45z//2e5rLZdYWlqK1157rc0QpTW2igoZmqZRU1PDZtKkp6fj8ccfZ401hZpJ09TUhJycHLi4uGDkyJG8r5GmaaO5EI1Gww5t9uvXj3dPOFMKi1qtRmRkJHr37s363wkBrVaLPn364Ndff0VkZCR7fNmyZcjPz0dWVpYZV2e9CEZcCJYLM/W+Z88eNpNGIpGwUQF8PB10hsbGRuTk5MDd3R3Dhw83ufi1Nxfi5ubGWwCaKYWlsbERc+bMAQDs3bsX9vb2vJ3rYSkvL8egQYNw4sQJTJw4kT2+Zs0afP/99/jzzz/NuDrrRbCtyATLQSQSwcXFBQsXLsTChQuhUqnYTJqnnnoKAwYMYIWGb6fde6FWq5GTk4MBAwaYLVK6dURxQ0MDqqurcePGDVy4cAHOzs7sPk1Xy0lMe7VIJOJdWJqamvDss89Cp9PhwIEDghKWlpDUSNNCxIXAOU5OTpg3bx7mzZsHtVrNZtKEhYXB1dWVdXA2VSZNfX09cnJyMHjwYPztb38TzAWlb9++6Nu3L7y8vNDc3Mw+0RQXF3cpAM1gMCAvLw/A3RwSPn/GGo0G8+bNQ319PQ4ePCjIphrGM671LFxVVZVF++QJHVIWI5iMxsZGo0yaPn36ICIiAjKZjLdMGpVKhdzcXHh5eUEikXD+9/OBVqtlJ91ra2vZAcSOWN+bUli0Wi3mz5+PsrIyHDlyRNC+cwEBAZBKpUhISGCPjRw5EjKZjGzo8wQRF4JZaG5uxpEjR6BUKrFnzx7Y2tpi9uzZiIyMxOTJkznJpGGyZ4YOHWqx7aatA9B69erFCo2Tk5OR0DDCwgyE8iksOp0OL7zwAoqLi5GRkQF3d3fezsUFTCtyYmIiJkyYgO3bt+Orr75CUVERPD09zb08q4SISyeJi4vD3r17kZ+fj549e+L27dtt3kPiATqGTqdDZmYmFAqFUSaNXC5HUFBQpzoBa2trUVBQgMcffxyDBg3iYdWm534BaA4ODigsLARFUfDz8+O1C02v1+Pll19GYWEhMjIyLKa0lJCQgPXr1+PmzZvw8fHBpk2biFsAjxBx6SSrVq2Cs7MzysrK8M0337QRFxIP0Dn0ej2OHz/Ohp+p1Wo8/fTTkMvleOqppzrU3sqEmo0YMYIdtrU2KIpCXV0dKisrUV1dDZ1Oh0ceeQSPP/44PDw8eGuaMBgMiImJwalTp5CZmcm6kxMIrSHi0kWSkpIQGxvbRlxIPEDXMRgM+OOPP9hMmtraWoSEhEAmk90zk6aiogJFRUUWH2rWUZhSmE6ng7OzM2pqatiMFbFYDDc3N86eYiiKwrJly5CZmYmMjAyLLTUSTAMRly5yL3EhPmjcQlEUzpw5w0YFlJeXY8aMGZDJZGwmTWJiInr27Inw8HD069fP3EvmHabduGUpjMmlYTrPmpqajGZpOruXRVEUli9fjv379yMjI8NimiMI5oO0IvMEiQfgFhsbG4wfPx7jx4/HJ598goKCAuzatQvx8fF49dVXMW7cOJw5cwZbt24V/OYyFxgMBhQUFLTZYxGJRHB0dISjoyO8vb2hVqtRXV2N0tJSnD9/Hi4uLuw+TUf3siiKwvvvv4+0tDRkZmYSYSF0CPOPTQuIzsQD3A8SD8APNjY28PPzQ1xcHIqKirBs2TJkZ2dj1KhRePnllxEZGYmkpCTU1NRYhA3+w8IIi16vf+Dmvb29PSQSCZ588kkEBgbC3d0dFRUVOHbsGLKzs3H9+nU0NTXd8/+nKAqrV6/Gr7/+isOHD8Pb25uPj0SwQsiTSwuWLFmCv//97/d9j5eXV4f+rv79++P06dNGx+rq6qDT6brFXoCp+OSTT/D111/j+PHjkEqluHTpEnbt2oVvv/0Wy5Ytw6RJkyCXyxEeHg6xWGzxwt5SWPz9/R9qP8XOzs4oAI2ZpWEC0Jgnmr59+0IkEoGmaaxduxY//PADMjIyMHz4cB4/GcHaIHsuXeRBG/okHoBffv75Z4waNQqjR482Ok7TNK5evQqFQgGlUons7GxMmDABMpkMERERFplJ0xVhuR86nc5oaHPLli0YNGgQ7OzssHPnTmRkZGDMmDGcnIvQfSDi0klKS0tx69YtpKamIj4+HseOHQMAeHt7w97ensQDCAiapvHXX3+xmTQnT57E2LFj2fAzS8ikoSgKBQUF0Ol08PPz42TItD0MBgN+/PFH7NixA9nZ2XB3d8ezzz6LqKgoBAYGmjwugGC5kD2XTvLhhx/Cz88Pq1atglqthp+fH/z8/Ng9GVtbW+zduxe9e/dGYGAg5s6dC7lcjg0bNph55d0PkUiEIUOGIDY2FllZWSgtLcX8+fNx+PBhjBkzBlOmTMGGDRtw6dIlQe7RmEpYgLv7WY2NjTh//jyOHDmCb7/9Fg0NDZgzZw7i4uJ4O+/9iIuLw8SJE9GnTx84Ozu3+57S0lKEh4ejb9++cHd3x9KlS6HVak27UIIR5MmF0G1hMmlSUlKgVCqRnp6O4cOHs080QsikYYRFq9XC39+fV2GhaRrffvstVqxYgX379mHSpEnsa3q9Hs3NzWZxPCYDy5YJERcCAXcvrHV1dUhNTYVCocChQ4cgkUggk8kQGRmJUaNGmTwqwNTCsmPHDixfvhxpaWkICgri7VydhQwsWxakLEYg4G7pzNXVFQsXLkRaWhoqKyvxwQcfoLi4GNOmTYOvry9WrlyJnJwcUBTF+3pMLSy//PIL3n77bSiVSkEKy/34448/4OPjY2RFM2vWLGg0GuTk5JhxZd0bIi4EQjswmTRKpRKVlZVYs2YNysrK8PTTT8PHxwfvvfceTp06BYPBwPm5KYpCYWEhNBoN78ICAEqlEkuXLkVycjJmzJjB67n4gAwsCxMiLt2EhIQESCQS9O7dG1KplO1uIzwYe3t7zJ07F8nJyaisrMSmTZtw69YtzJkzByNGjMBbb72FY8eOQa/Xd/lcjLA0NzdDKpXyLiypqalYvHgxfvrpJ4SFhfF6rpaQgWXrhwxRdgOSk5MRGxuLhIQEBAYGYtu2bQgNDcX58+eJ+eBD0qdPH0RGRiIyMhLNzc04fPgwlEoloqOj0aNHD4SHhyMyMhKTJk16aGEwtbDs27cPL774IpKSkiCXy3k9V2vIwLL1Qzb0uwEBAQHw9/fH1q1b2WMjRoyAXC4nKXwcodPpkJGRwWbSGAwGzJ49GzKZrEOZNBRF4ezZs2hqajKJsBw+fBjR0dHYvn07oqOjeT0XV5CBZcuClMWsHK1Wi5ycHMycOdPo+MyZM3Hy5Ekzrcr6eOSRRzBz5kxs27YNN27cwK5du9C3b18sWbIEEokEixYtwm+//dauj5ephSUrKwvR0dHYsmULnnvuOV7PxQWlpaXIz89HaWkp6wSdn58PtVoN4O53eeTIkZg/fz7y8vJw5MgRvP3221i0aBERFjNCxMXKqampgcFgaFMeEIvFZLOTJ3r06IGgoCBs2bIFpaWlSEtLQ79+/bB8+XJIJBIsWLAAKSkpaGhogEajweLFi1FeXm6Szfvjx49j7ty52LRpE55//nmL2JMgA8uWCSmLWTnl5eUYNGgQTp48iQkTJrDH4+LisGPHDly8eNGMq+teUBSF7Oxso0waiUSCxsZGpKamYujQobye//Tp05DL5YiLi0NMTIxFCAvBciFPLlaOu7s7bG1t2zylVFVVkc1OE2NjY4OAgADEx8ejqKgIgYGBqKmpgaOjI8aPH4+5c+fip59+wu3btzm3ocnJyUFUVBRWr15NhIVgEoi4WDk9e/aEVCrFoUOHjI4fOnQIEydONNOqujcGgwHPP/88KisrUVRUhPz8fGRnZ2Ps2LHYvHkzvLy8EBUVhe+//56TTJqCggLIZDK89957iI2NJcJCMAmkLNYNSE5Oxvz585GYmIgJEyZg+/bt+Oqrr1BUVARPT09zL6/bQdM0vvjiC0RHR7eJY6ZpGsXFxVAoFFAoFCgsLMTkyZPZqAAPD4+HEoeioiKEhoZi6dKlWLlyJREWgskg4tJNSEhIwPr163Hz5k34+Phg06ZNmDJlirmXRbgPNE3jypUrbCbNmTNnMHHiREREREAmk2HgwIH3FYuLFy8iNDQUixYtwkcffUSEhWBSiLgQCBYATdMoLS1lM2n++OMPNpNGLpdjyJAhRuJx6dIlhIaGYt68eVi3bp3JTTcJBCIuBIKFQdM0ysvL2aiAY8eOYfTo0ZDL5ZDJZLC1tUVISAiioqKwadMmIiwEs0DEhUCwYGiaRlVVFXbv3s1m0ohEIsybNw/ffPMNERaC2SDiQiBYCTRN49atW/j3v/+NjRs3okcPYh1IMB/ktoZAsBJEIhHc3Nzw+eefm11Yrl27hhdffBESiQR2dnYYOnQoVq1a1SZ6mMQTWy9EXAhm5+jRowgPD2e7n3bv3m30Ok3TWL16NQYOHAg7OzsEBQWhqKjIPIsldIiLFy+Coihs27YNRUVF2LRpExITE/H++++z7zEYDAgLC0NDQwOOHz+OX375BQqFAm+99ZYZV07gDJpAMDP79u2jV6xYQSsUChoAnZKSYvT6J598Qjs4ONAKhYI+e/Ys/eyzz9IDBgyg79y5Y54FEzrF+vXraYlEwv553759tI2NDX3jxg322M8//0z36tWLVqlU5lgigUPIkwvB7ISGhuLjjz9GVFRUm9domsZnn32GFStWICoqCj4+Pvj+++/R2NiInTt3mmG1hM6iUqng6urK/pnEE1s3RFwIgubq1auoqKgwigzo1asXpk6dSiIDLIjLly9j8+bNWLx4MXuMxBNbN0RcCIKGuciQyABh0Jl44vLycoSEhOCZZ57BSy+9ZPQaiSe2XkivIsEiaH2xIRcg8/Cw8cTl5eUIDg5mPe1aQuKJrRsiLgRB079/fwB3n2CYCFuARAaYC3d3d7i7u3fovTdu3EBwcDCkUim+++67NgOdEyZMQFxcHG7evMn+2x48eBC9evWCVCrlfO0E00LKYgRBI5FI0L9/f6PIAK1Wi6ysLBIZIGDKy8sRFBSEwYMHY8OGDaiurkZFRYVRKZPEE1s35MmFYHbUajVKSkrYP1+9ehX5+flwdXXFkCFDEBsbizVr1mDYsGEYNmwY1qxZgz59+iA6OtqMqybcj4MHD6KkpAQlJSV49NFHjV6j/98UhIknfu211xAYGAg7OztER0eTeGIrgdi/EMxOZmYmgoOD2xxfsGABkpKSQNM0/vWvf2Hbtm2oq6tDQEAAtmzZAh8fHzOslkAgdAQiLgQCgUDgHLLnQiAQCATOIeJCIBAIBM4h4kIgEAgEziHiQiAQCATOIeJCIHSStWvXYty4cXBwcICHhwfkcjn+/PNPo/fQJC6A0E0h4kIgdJKsrCzExMTg1KlTOHToEPR6PWbOnImGhgb2PevXr8enn36KL7/8EtnZ2ejfvz9mzJiB+vp6M66cQOAf0opMIHBEdXU1PDw8kJWVhSlTpoCmaQwcOBCxsbF49913AQAajQZisRjr1q3DK6+8YuYVEwj8QZ5cCASOUKlUAMBmlpC4AEJ3hogLgcABNE3jzTffxKRJk1jnABIXQOjOEG8xAoEDlixZgsLCQhw/frzNayQugNAdIU8uBEIXef3115GamoqMjAwjk8aWcQEtIXEBhO4AERcCoZPQNI0lS5ZAqVQiPT0dEonE6HUSF0DozpCyGIHQSWJiYrBz507s2bMHDg4O7BOKk5MT7OzsIBKJSFwAodtCWpEJhE5yr32T7777DgsXLgQAEhdA6LYQcSEQCAQC55A9FwKBQCBwDhEXAoFAIHAOERcCgUAgcA4RFwKBQCBwDhEXAoFAIHAOERcCgUAgcA4RFwKBQCBwDhEXAoFAIHAOERcCgUAgcA4RFwKBQCBwDhEXAoFAIHAOERcCgUAgcM7/ARQkrKNw+AKFAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + } + ], "source": [ - "import os\n", - "os.chdir(\"../../../\")" + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" ] }, + { + "source": [ + "# 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ - "from torchts.nn.models.ode import ODESolver\n", - "# from torchts.nn.model import TimeSeriesModel" + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(20000)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", + " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", + " ...,\n", + " [-8.8668e+00, -1.4836e+01, 1.6847e+01],\n", + " [-9.4751e+00, -1.5664e+01, 1.7779e+01],\n", + " [-1.0103e+01, -1.6452e+01, 1.8857e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":6: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" ] }, { diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 76933707..426d2801 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -15,6 +15,8 @@ def __init__( if solver == "euler": self.solver = self.euler + elif solver == "rk4": + self.solver = self.runge_kutta_4 else: raise ValueError(f"Unrecognized solver {solver}") @@ -44,6 +46,35 @@ def euler(self, nt): # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) + + def runge_kutta_4(self,nt): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + for n in range(nt - 1): + # create dictionary containing values from previous time step + prev_val = {var: pred[var][[n]] for var in self.var_names} + + k_1 = prev_val + k_2 = {} + k_3 = {} + k_4 = {} + + for var in self.var_names: + k_2[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + + for var in self.var_names: + k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + + for var in self.var_names: + k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt + + for var in self.var_names: + new_val = prev_val[var] + (self.ode[var](k_1, self.coeffs)/6 + self.ode[var](k_2, self.coeffs)/3 + self.ode[var](k_3, self.coeffs)/3 + self.ode[var](k_4, self.coeffs)/6) * self.dt + pred[var] = torch.cat([pred[var], new_val]) + + # reformat output to contain desired (observed) variables + return torch.stack([pred[var] for var in self.outvar], dim=1) + def forward(self, nt): return self.solver(nt) From 8ec55d12fb57ed7419772affa65f8dc1fab28ec5 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Thu, 19 Aug 2021 21:40:04 +0000 Subject: [PATCH 06/73] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- .../ode/lorenz63/Lorenz63DataGeneration.m | 2 +- examples/ode/lorenz63/Lorenz63Test.ipynb | 2 +- torchts/nn/models/ode.py | 30 +++++++++++++------ 3 files changed, 23 insertions(+), 11 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63DataGeneration.m b/examples/ode/lorenz63/Lorenz63DataGeneration.m index 87f8d1eb..be418eeb 100644 --- a/examples/ode/lorenz63/Lorenz63DataGeneration.m +++ b/examples/ode/lorenz63/Lorenz63DataGeneration.m @@ -40,4 +40,4 @@ y_prime(1) = sigma*(y(2)-y(1)); y_prime(2) = y(1)*(rho-y(3))-y(2); y_prime(3) = y(1)*y(2)-beta*y(3); -end \ No newline at end of file +end diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb index 6f648e3a..3919e662 100644 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -273,4 +273,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 426d2801..62b70d1e 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -46,8 +46,8 @@ def euler(self, nt): # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) - - def runge_kutta_4(self,nt): + + def runge_kutta_4(self, nt): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for n in range(nt - 1): @@ -60,22 +60,34 @@ def runge_kutta_4(self,nt): k_4 = {} for var in self.var_names: - k_2[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - + k_2[var] = ( + prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + ) + for var in self.var_names: - k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - + k_3[var] = ( + prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + ) + for var in self.var_names: k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt - + for var in self.var_names: - new_val = prev_val[var] + (self.ode[var](k_1, self.coeffs)/6 + self.ode[var](k_2, self.coeffs)/3 + self.ode[var](k_3, self.coeffs)/3 + self.ode[var](k_4, self.coeffs)/6) * self.dt + new_val = ( + prev_val[var] + + ( + self.ode[var](k_1, self.coeffs) / 6 + + self.ode[var](k_2, self.coeffs) / 3 + + self.ode[var](k_3, self.coeffs) / 3 + + self.ode[var](k_4, self.coeffs) / 6 + ) + * self.dt + ) pred[var] = torch.cat([pred[var], new_val]) # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) - def forward(self, nt): return self.solver(nt) From 0fcf33ec049cd2bab542786d8bed91adc61ef8d4 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Thu, 19 Aug 2021 17:42:41 -0400 Subject: [PATCH 07/73] Revert "[pre-commit.ci] auto fixes from pre-commit.com hooks" This reverts commit 8ec55d12fb57ed7419772affa65f8dc1fab28ec5. --- .../ode/lorenz63/Lorenz63DataGeneration.m | 2 +- examples/ode/lorenz63/Lorenz63Test.ipynb | 2 +- torchts/nn/models/ode.py | 30 ++++++------------- 3 files changed, 11 insertions(+), 23 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63DataGeneration.m b/examples/ode/lorenz63/Lorenz63DataGeneration.m index be418eeb..87f8d1eb 100644 --- a/examples/ode/lorenz63/Lorenz63DataGeneration.m +++ b/examples/ode/lorenz63/Lorenz63DataGeneration.m @@ -40,4 +40,4 @@ y_prime(1) = sigma*(y(2)-y(1)); y_prime(2) = y(1)*(rho-y(3))-y(2); y_prime(3) = y(1)*y(2)-beta*y(3); -end +end \ No newline at end of file diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb index 3919e662..6f648e3a 100644 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -273,4 +273,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} +} \ No newline at end of file diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 62b70d1e..426d2801 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -46,8 +46,8 @@ def euler(self, nt): # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) - - def runge_kutta_4(self, nt): + + def runge_kutta_4(self,nt): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for n in range(nt - 1): @@ -60,34 +60,22 @@ def runge_kutta_4(self, nt): k_4 = {} for var in self.var_names: - k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - ) - + k_2[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + for var in self.var_names: - k_3[var] = ( - prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - ) - + k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + for var in self.var_names: k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt - + for var in self.var_names: - new_val = ( - prev_val[var] - + ( - self.ode[var](k_1, self.coeffs) / 6 - + self.ode[var](k_2, self.coeffs) / 3 - + self.ode[var](k_3, self.coeffs) / 3 - + self.ode[var](k_4, self.coeffs) / 6 - ) - * self.dt - ) + new_val = prev_val[var] + (self.ode[var](k_1, self.coeffs)/6 + self.ode[var](k_2, self.coeffs)/3 + self.ode[var](k_3, self.coeffs)/3 + self.ode[var](k_4, self.coeffs)/6) * self.dt pred[var] = torch.cat([pred[var], new_val]) # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) + def forward(self, nt): return self.solver(nt) From 9580a7c4065e745d7bfc1a1c7eae28e2963f6737 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Thu, 19 Aug 2021 17:44:14 -0400 Subject: [PATCH 08/73] Cleaned up code --- .../ode/lorenz63/Lorenz63DataGeneration.m | 2 +- examples/ode/lorenz63/Lorenz63Test.ipynb | 2 +- torchts/nn/models/ode.py | 30 +++++++++++++------ 3 files changed, 23 insertions(+), 11 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63DataGeneration.m b/examples/ode/lorenz63/Lorenz63DataGeneration.m index 87f8d1eb..be418eeb 100644 --- a/examples/ode/lorenz63/Lorenz63DataGeneration.m +++ b/examples/ode/lorenz63/Lorenz63DataGeneration.m @@ -40,4 +40,4 @@ y_prime(1) = sigma*(y(2)-y(1)); y_prime(2) = y(1)*(rho-y(3))-y(2); y_prime(3) = y(1)*y(2)-beta*y(3); -end \ No newline at end of file +end diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb index 6f648e3a..3919e662 100644 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -273,4 +273,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 426d2801..62b70d1e 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -46,8 +46,8 @@ def euler(self, nt): # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) - - def runge_kutta_4(self,nt): + + def runge_kutta_4(self, nt): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for n in range(nt - 1): @@ -60,22 +60,34 @@ def runge_kutta_4(self,nt): k_4 = {} for var in self.var_names: - k_2[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - + k_2[var] = ( + prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + ) + for var in self.var_names: - k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - + k_3[var] = ( + prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + ) + for var in self.var_names: k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt - + for var in self.var_names: - new_val = prev_val[var] + (self.ode[var](k_1, self.coeffs)/6 + self.ode[var](k_2, self.coeffs)/3 + self.ode[var](k_3, self.coeffs)/3 + self.ode[var](k_4, self.coeffs)/6) * self.dt + new_val = ( + prev_val[var] + + ( + self.ode[var](k_1, self.coeffs) / 6 + + self.ode[var](k_2, self.coeffs) / 3 + + self.ode[var](k_3, self.coeffs) / 3 + + self.ode[var](k_4, self.coeffs) / 6 + ) + * self.dt + ) pred[var] = torch.cat([pred[var], new_val]) # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) - def forward(self, nt): return self.solver(nt) From e48d98e20cae69a633a600b705d6e245bbe3af79 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Thu, 19 Aug 2021 22:28:50 -0400 Subject: [PATCH 09/73] Added Rossler Attractor --- .../rosslerAttractorTest.ipynb | 276 ++++++++++++++++++ 1 file changed, 276 insertions(+) create mode 100644 examples/ode/rossler_attractor/rosslerAttractorTest.ipynb diff --git a/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb b/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb new file mode 100644 index 00000000..e4444bfd --- /dev/null +++ b/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb @@ -0,0 +1,276 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return -prev_val[\"y\"]-prev_val[\"z\"]\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]+coeffs[\"alpha\"]*prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return coeffs[\"beta\"] + prev_val[\"x\"]*prev_val[\"z\"]-coeffs[\"gamma\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":0, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"alpha\": 0.2, \"beta\": 0.2, \"gamma\": 5.7}\n" + ] + }, + { + "source": [ + "# Euler's Method" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 0.0000e+00, 0.0000e+00, 2.0000e-03],\n", + " [-2.0000e-05, 0.0000e+00, 3.8860e-03],\n", + " ...,\n", + " [-5.3682e+00, -7.8848e+00, 1.7140e-02],\n", + " [-5.2895e+00, -7.9542e+00, 1.7243e-02],\n", + " [-5.2102e+00, -8.0230e+00, 1.7348e-02]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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KWVlZzV9TWVnJt99+e97VlTlz5jB//vzmfz///POsXbuW9PR0UlJSuOOOO0hJSeHee++1NDwhhHBYZ4preGP9SQD+PrkXId7SusGeLusewLUJ4ZhMMH95KnqD0d4hiQuwOGFJTk4mISGBhIQEAObNm0dCQgL/+Mc/mr9m6dKlmEwmZs2a9afXyMrKIi8vr/nf5eXl3H333fTq1Yvx48eTm5vLli1bSExMtDQ8IYRwSCaTifnLU9E2GBnRzZ/rB0XYOySBOXH0cXPieH4Vn27LsHc44gIUJpPJZO8grKGyshJvb28qKipke0gI4XC+2ZvNE8sO4eKkZO2jo4j2d7d3SKLRt8nZ/PU783+b9Y+NlqGT7aylr99yjk4IIWyssKqef605CsC8K3tIsuJgrh8UwfBYf+r1Rp5ZdZhO8j6+05GERQghbOz51UeprG+gb7h383Fa4TgUCgX/vjYeZ5WSTSeK2Ci9WRySJCxCCGFDG44WsCY1D5VSwf9N74taJX92HVFsoAe3X2ZOJl/44ahMdHZA8psjhBA2Uq838Nz3RwC4a2QsfcK87RyRuJAHx3Uj0FPDmZJaFmw/Y+9wxP+QhEUIIWzkg82nySmrI9TbhYcv72bvcMRFeGjUPHlVHABv/5JGYVW9nSMSvycJixBC2EB2aS3vbzoNwN8n98bNWaYCdwTXJYTTP9KHGp2BV36WDriORBIWIYSwAXMdhJGkrv5M6hti73BECymVCp6b0huA7/blcDC73L4BiWaSsAghhJVtOlHIuqMFqJUKnr+mDwqFtN/vSBKifLluYDgAz39/RI45OwhJWIQQwoq0DQae/97cc2VuUoxMYu6g/nZVHK5OKvZnlbP2SIG9wxFIwiKEEFb12bYzZBTXEOCh4ZEruts7HNFKQV4u3DXSfMz5lbXHaZA5Q3YnCYsQQlhJYVU9b29MA+CpSXF4ujjZOSLRFneNisXP3Zn0ohq+Sc6xdziXPElYhBDCSt7ckEatzkD/CG+mDQi3dziijTxdnHhonPk4+psbTlKra7BzRJc2SViEEMIK0gqqWLonC4CnJ/dGqZRC287gpqFRRPq5Ulil5TOZ5mxXkrAIIYQVvPTTcYwmmNAnmMQufvYOR1iJRq3i8fE9AfhgczqlNTo7R3TpkoRFCCHaaPupYjYeL0StVDR3ShWdx5R+YfQJ86Ja28A7G0/ZO5xLliQsQgjRBkajiX+vOQbALcOiiQ30sHNEwtqUv0tEF+/OJL9CWvbbgyQsQgjRBisO5HI0rxJPjZqHL5djzJ3VyO4BDInxRddg5P1NsspiD5KwCCFEK9XrDby2zjxv5oFx3fBzd7ZzRMJWFAoFj13RA4Ale7LJq6izc0SXHklYhBCilb7YmUleRT3hPq7MTYqxdzjCxoZ39Sexix86g5F3f5VVlvYmCYsQQrRCVb2e9xq3Bh65ojsuTio7RyRs7ferLF/vzSa3XFZZ2pMkLEII0QqfbTtDWa2e2EB3rkuQJnGXiuFd/Rke64/eYJJVlnYmCYsQQliorEbHx1vTAZh3ZQ/UKvlTeil57ErzKsu3ydnklNXaOZpLh/yWCSGEhT7YcppqbQO9Qr2YFB9q73BEO0vs4seIbuZVlvc2nbZ3OJcMSViEEMIChZX1LNpxBoDHx/eQFvyXqIfHmY+wf5ecQ2Gl9GVpD2p7ByCEEB3JO7+eol5vZGCUD+Piguwdjs0VVNZzIKuMQzkV5JbXUVSlpbBKS1GVlgaDESe1EieVEmeVEl93J6L93eni705MgDs9gz3pHeaFqhMmdYld/BgU7cu+zDI+3ZbB/Em97B1SpycJixBCtFB2aS1LGgccPj6hJwpF53shrtY28MuxAtYdKWB/Vhl5F+vqqjM0/7+55XUczq0859Perk4Mj/VnRPcARncPJMrfzRZhtzuFQsEDY7ty+8JkFu/K5P4x3fB2c7J3WJ2aJCxCCNFC7206jd5gYkQ3f5K6Btg7HKup1xtYeySfNYfy2HSyCF2DsflzSgX0DPFiQKQPXQLcCPJ0IdBTQ6CnBo1aid5gRNdgQmcwUlSl5UxxDRklNZwpruFQTgUVdXp+PpLPz0fyAUiM8ePGIZFM6huCm3PHfgka2zOIuBBPjudXsWjnGel0bGMKk8lksncQ1lBZWYm3tzcVFRV4eXnZOxwhRCeTW17HmFd/RW8w8d29wxkc0/EnMpfW6Fi8K5PPd56huPq3KcSxge5M7hvKiG4B9A33xl3TusSiwWDkUG4F29OK2XaqmL1nSjE2vuK4O6u4ZkA4943u2qFXXVYfPMvDSw7g6+bE9r+N6/BJmD209PVb/pcVQogW+KBxdSWpq3+HT1Zyy+v4YNNpvt2XTb3evJoS7uPKdQPDmdQ3lLgQT6tsd6lVSgZG+TIwypeHLu9OXkUdy/fn8k1yNpkl5u21b5KzmT4wnIfGdSfSr+MlLpPiQ/iPv1vj95PNHZd1sXdInZassAghxEXkV9Qz6pVf0RmMLL17GMNi/e0dUqvUaBt4f9NpPt6ajrZx2yc+3Iu7R3VlUnxIu/WTMZlM7Eov5f3Np9lysggAtVLBDYMj+euEnh1uJtOSPVnMX55KiJcLm58Yg0YtXY8tISssQghhJR9sPo3OYCSxi1+HTFaMRhPL9ufw6toTFFZpARjaxY9Hr+jBsFi/di8eVigU5o6xXf3Zl1nGmxtOsjWtmCV7svj5cB7zJ/XihkERHaao+bqB4by54ST5lfV8fzCP6wdF2DukTkn6sAghxAUUVtY3nwx6pAMWVWYU13DDhzv563eHKKzSEu3vxoezB7H07mEM7+pv96RgULQvX9wxlG/vHU5ciCdltXqe+O4QMz7axanCKrvG1lIatYpbG4dffrI1nU6yceFwLE5YtmzZwpQpUwgLC0OhULBy5cpzPj937lwUCsU5j2HDhl30usuWLaN3795oNBp69+7NihUrLA1NCCGs7qMt5u2TQdG+JHXtOKsrJpOJL3aeYdJbW9mXWYaHRs38iXGse2wUE/qE2D1R+V9DYvz4/qHLeGpSHK5OKvZklDLpv9v4YueZDpEA3JwYjZuziuP5VWw/VWLvcDolixOWmpoa+vfvzzvvvHPer7nqqqvIy8trfvz4448XvObOnTuZMWMGs2fP5uDBg8yePZsbb7yR3bt3WxqeEEJYTXG1lsW7MwF4+PLuDvcifz55FXXM+WwPz6w6Qp3ewPBYf35+dCT3jO7q0PUVTiold4/qyvp5oxjdIxBdg5FnVh3hvsX7qajV2zu8C/J2c+LGwZEAzXOmhHW1qehWoVCwYsUKpk2b1vyxuXPnUl5e/oeVlwuZMWMGlZWV/PTTT80fu+qqq/D19WXJkiUtuoYU3QohrO3ln4/z/qbT9I/0YeX9SR0iYdlxqpgHvtpPWa0ejVrJ3ybGcevwmA43QsBkMvHptgxe/vk4eoOJcB9X3r4pgYFRvvYO7byySmoZ89qvGE2w7rFR9Aj2tHdIHUJLX79tUsOyadMmgoKC6NGjB3fddReFhYUX/PqdO3cyfvz4cz42YcIEduzYYYvwhBDioirr9SzeaV5deXBsN4dPVkwmE59sTWf2Z3soq9UTH+7FmodHctuILh0uWQHzG+I7R8ay7L4kovzcyC2vY+aHu1hxIMfeoZ1XlL8bE/qEAPDp1gw7R9P5WD1hmThxIl9++SUbN27kP//5D3v37mXcuHFotdrzPic/P5/g4OBzPhYcHEx+fv55n6PVaqmsrDznIYQQ1vLlriyqtA30CPbgcgefGVSnM/Do1yn8a80xDEYT1w0M57t7k+gW5GHv0NqsX4QPax6+jAl9gtEZjDz29UHeWH/SYeta7hxp7sOy4kAuRVXnf90TlrN6wjJjxgwmT55MfHw8U6ZM4aeffuLkyZOsWbPmgs/733cvJpPpgu9oXnrpJby9vZsfkZGRVolfCCHq9QY+3WZ+h3zPqK4OvUJRVKXlxg93sirlLCqlguem9OY/N/THxclxa1Us5enixPs3D+Le0V0BeOuXNB79OoV6veEiz2x/g6L9SIjyQWcw8sXOM/YOp1Ox+bHm0NBQoqOjSUtLO+/XhISE/GE1pbCw8A+rLr83f/58Kioqmh/Z2dlWi1kIcWlbtj+H4motYd4uXDMgzN7hnFdWSS3Xf7CD1NwK/Nyd+fLOocwd0cXht69aQ6lU8LeJcfzfdX1RKxWsSjnL3AV7qNE22Du0P7hrZCwAX+3JQtvgeElVR2XzhKWkpITs7GxCQ0PP+zXDhw9n/fr153xs3bp1JCUlnfc5Go0GLy+vcx5CCNFWDQYjH242n/K4a1QsTu3U/dVSR85WMP2DHWSW1BLh68qy+5I6ZFM7S81MjGLhbYl4atTsSi9lzmd7qKx3rBNE43sHE+rtQnG1jjWH8uwdTqdh8W9idXU1KSkppKSkAJCRkUFKSgpZWVlUV1fz+OOPs3PnTs6cOcOmTZuYMmUKAQEBXHvttc3XmDNnDvPnz2/+9yOPPMK6det4+eWXOX78OC+//DIbNmzg0UcfbfM3KIQQlvjpcD5ZpbX4ujkxY4hjbjXvSi9h5oe7KKrSEhfiyfL7kugS4G7vsNrNZd0DWHznULxc1OzLLOOWT3ZTXqu7+BPbiVql5JZh0QAs2nHGvsF0IhYnLMnJySQkJJCQkADAvHnzSEhI4B//+AcqlYrU1FSmTp1Kjx49uPXWW+nRowc7d+7E0/O3411ZWVnk5f2WdSYlJbF06VIWLFhAv379WLhwIV9//TVDhw61wrcohBAtYzKZ+GDzaQDmJnVxyMm7O04Vc+tne6jSNpDYxY9v7h1OkJeLvcNqd/0jfVhy9zB83Zw4lFPBrI93U1LtOEWuM4ZE4qxScjCnggNZZfYOp1OQ4YdCCNFoy8ki5ny2B1cnFTv+Ng5fBxvCtyu9hLkL9lCvNzIuLoj3bh7YqYprW+NEfhU3f7Kb4mot8eFeLLlrGJ4uTvYOC4B536SwfH8u0waE8ebMBHuH47Ds2odFCCE6oqYOpTMTIx0uWdl7ppTbF+6lXm9kTM9A3r9FkhWAniGeLL17GP7uzhzOreSuz5Md5vTQ3Mb5QmtS8yisqrdvMJ2AJCxCCAEcy6tka1oxSgXcPqKLvcM5x77MMuZ+todanYGR3QP44JZBDt1iv711C/Jg0e2JeDQW4j605AANBqO9w6JfhA8JUT7oDSaW7JaTrG0lCYsQQkBz35WJfUOJ9HOzczS/OZFfZT6+qzOQ1NWfj+cMlpWVPxEf7s3HcwbjrFay/mgBf1ue6hDN5ZpWWb7cnYneAZKojkwSFiHEJa+wsp5VKbkA3HmZ46yu5FXUmQts6xsYHO3LJ7dKsnIhw7v6886sBFRKBd/ty+G/v5yyd0hMjA8lwMOZwiotG44W2DucDk0SFiHEJe/znZnoDSYGRfuS4CDD9Srq9Mz9bC/5lfV0C/Lgk1sHO+SpJUczvk8I/54WD8AbG07yw6Gzdo3HWa1snuL81Z4su8bS0UnCIoS4pNXqGli82zzk8K6RjrG6om0wcPfnyZwoqCLIU8PC24bg4+ZYRcCObGZiVPNK2V++OcjB7HK7xjMrMQqFAramFXOmuMausXRkkrAIIS5py/bnUl6rJ8rPjSt7h9g7HEwmE49/e4jdGaV4aNQsvC2RCF/HqanpKOZP6sXYnoFoG4zc9XkyeRV1dosl0s+N0T0CAVgiqyytJgmLEOKSZTSa+Kyx2Pb2ETGoHGDI4bu/nuL7g2dxUin4cPYgeodJX6nWUCkV/HdWAj2CPSis0nL35/vsetz5psQoAL7dlyPzhVpJEhYhxCXrl+OFZBTX4OWi5obB9m/Dv/5oAa+tOwnAP6fGM6JbgJ0j6tg8XZz49NYh+Lg5kZpbwb/WHLVbLOPiggjxcqG0RsfPh/Mv/gTxB5KwCCEuWQt3mFdXZiVG4a6xb0FrWkEVj32dAsDsYdHManxHLtom0s+NN2cMQKGAxbuyWHkg1y5xqFVKZiaak+Ivd8u2UGtIwiKEuCSlFVSx/VQJSgXMHh5t11gqavXc9Xky1doGhnbx4x9Tets1ns5mTM8gHhrXHYD5y1NJK6iySxwzhkSiVMCejFJOFdonho5MEhYhxCVpYeMU3fG9Q+xa1Go0mnho6QHOlNQS7uPKezcPxEklf5qt7ZHLu3NZtwDq9AbuXbyPGm1Du8cQ6u3KuLhgAJbukc63lpLfCiHEJaeiVs/y/eatgbkjYuway3ubTrHlZBEuTko+mjMIfw+NXePprFRKBW/NHECIlwuni2p4/vsjdolj5hDzttCKA7noGqTzrSUkYRFCXHK+Sc6mTm8gLsSToV387BbHztMlvL7eXGT7wtR4+oR52y2WS4G/h4a3ZprrWb5JzuGn1Lx2j2FMz0CCPDWU1OjYeFw631pCEhYhxCXFYDSxaOcZwDznRaGwz1HmoiotDy89gNEE0wdGOMQppUvB0Fh/7hvdFYC/LU8lv6J9pyirVUqmD4oA4Ou9si1kCUlYhBCXlI3HC8kpq8PHzYmpA8LtEoPBaOKxr1MoqtLSPciDF6b1sUscl6pHr+hB33BvKur0/OXbFIzG9h2SeENjwrL5ZFG7J0wdmSQsQohLStNR5plDonB1ts8gwfd+PcW2U8W4Oql47+aBMiOonTmrlbw5cwCuTiq2nyrhs+0Z7Xr/2EAPEmP8MJrgu32yytJSkrAIIS4ZjnCUOSW7nDd/SQPgX9Pi6R7saZc4LnVdAz34+9W9AHhl7QlOF1W36/1vbCy+/SY5p91XeDoqSViEEJeMxbvMQw6v6BVMuI9ru9+/RtvAo0sPYDCauKZ/WHMtg7CPmxKjGNUjEF2DkSe+O4ShHROHSX1D8NCoySqtZVdGSbvdtyOThEUIcUmo0TawrPEo85zhMXaJ4V9rjnGmpJZQbxdemBpvlxjEbxQKBS9d1xcPjZp9mWUsauzN0x7cnNVM6R8GwHf7ctrtvh2ZJCxCiEvCypRcqrUNxAa4k9TVv93vv+FoQfOk3v/c0B9vN6d2j0H8UbiPK/MnxQHwytrjZJbUtNu9rx9kLvr++XC+XRrZdTSSsAghOj2TycQXO83bQTcNjULZzlOZi6q0PLnsEAB3jexCkgw1dCizhkQxPNafer2RJ5cdareakoFRvnQJcKdWZ+AnGYh4UZKwCCE6vf1ZZRzPr8LFSckNg9q334nJZOLvK1MpqdERF+LJ4xN6tuv9xcUplQpent4PVycVu9JL222LRqFQcF2CeZVlmWwLXZQkLEKITq9pdeWa/mHtvhXzw6E81h4pQK1U8PqNA9Co7XOUWlxYlL8b867sAcCLPx2jtEbXLve9dqA5YdmZXkJOWW273LOjkoRFCNGpFVdr+THVvNw+e1hMu967pFrLs6vNM2vuH9uN3mFe7Xp/YZm5I2KIC/GkvFbPSz8ea5d7Rvi6MSzWPB5iRWNRuPhzkrAIITq1b5Kz0RmM9I/wpm9E+87qee77o5TW6OgZ7MmDY7u1672F5ZxUSv59rfn01rf7ctiTUdou950+0Hy8ffmBXEwm6clyPpKwCCE6LaPR1Hwy55Zh7dsobu2RfL4/eBaVUsGrN/TDWS1/bjuCQdF+zEo01zn9fWVqu0xUntg3FFcnFRnFNezPKrf5/Toq+Q0SQnRa208Xk11ah6eLmqv7hbXbfStq9fx95WEA7h4VS78In3a7t2i7J6+Kw8/dmZMF1Sxoh7b9Hho1E+NDAFhxQIpvz0cSFiFEp7V0j3lOy7UJ4e06N+j/fj5OUZWW2EB3Hrm8e7vdV1iHj5szf5to7s3y9sZTFFbZfkDhtMbTQmsO5aE32H5VpyOShEUI0SmVVGtZd9RcbDtzSFS73XdfZmnzNtRL1/bFxUlOBXVE1w+MoF+EN9XaBl5be8Lm90vq6k+Ah4ayWj1bThbZ/H4dkSQsQohOafn+XPQGE/0ivNvtdI7eYOSp5eatoBsGRTA0tv076grrUCoVPDulD2AuwD2UU27T+6lVSqb0DwVgZcpZm96ro5KERQjR6ZhMJpbsNa9ytOfqyqfbMjhRUIWvmxPzJ/Vqt/sK2xgU7cu0AWGYTPD890dtfoJn2gDzttD6o/lUS6v+P7A4YdmyZQtTpkwhLCwMhULBypUrmz+n1+t58skn6du3L+7u7oSFhTFnzhzOnr1wtrhw4UIUCsUfHvX1tt83FEJ0PnvPlJFeVIObs4prBrRPsW12aS1vbjgJwFOTeuHn7twu9xW29eTEOFydVOzLLGP1QduufPSL8KZLgDv1eiPrjkir/v9lccJSU1ND//79eeedd/7wudraWvbv388zzzzD/v37Wb58OSdPnuSaa6656HW9vLzIy8s75+Hi4mJpeEIIwdLG1ZWr+4XioVG3yz2fW32Eer2RoV38uH5QRLvcU9heqLcr94/pCsArP5+gXm+w2b0UCgVTGxNs2Rb6I4t/kydOnMjEiRP/9HPe3t6sX7/+nI+9/fbbJCYmkpWVRVTU+ZdmFQoFISEhloYjhBDnqKjT82NqHgAzE9tnO+iXYwX8crwQJ5WCf18bj0LRvsMVhW3dOTKWL3dnkVtexxc7M7lrVKzN7jVtQDhvbkhjW1oRRVVaAj01NrtXR2PzGpaKigoUCgU+Pj4X/Lrq6mqio6OJiIjg6quv5sCBA7YOTQjRCa1KyaVeb6RnsCcJkT42v1+93sA/fzgKwO2XdaFbkKfN7ynal6uzinnjzXOG3t6YRnmt7eYMxQS40z/SB6OJ5sRbmNk0Yamvr+dvf/sbN910E15e56/Sj4uLY+HChaxevZolS5bg4uLCiBEjSEtLO+9ztFotlZWV5zyEEJc2k8nEksbeKzMTI9tlpePTbRlkltQS5KnhoXHSc6Wzmj4wgrgQTyrrG3hv02mb3mtKP/NpoTWSsJzDZgmLXq9n5syZGI1G3nvvvQt+7bBhw7jlllvo378/I0eO5JtvvqFHjx68/fbb533OSy+9hLe3d/MjMrJ9R8YLIRxPam4Fx/IqcVYrubaxEZctnS2v452NpwBzoW171cuI9qdSKpqbyS3cfobsUttNVp7U15yw7D1TSkGlHD5pYpOERa/Xc+ONN5KRkcH69esvuLryp0EplQwZMuSCKyzz58+noqKi+ZGdnd3WsIUQHVzT6srE+BB83Gx/SufFH49RpzcwJMa3uVhSdF6jewQyops/OoOR19eftNl9wnxcGRjlg8kEP8kqSzOrJyxNyUpaWhobNmzA39/yxkkmk4mUlBRCQ0PP+zUajQYvL69zHkKIS1eNtoHVKblA+/Re2ZVewg+H8lAq4Llr+kih7SVAoVAwf6K5v87KlFxOFlTZ7F6TG2dfybbQbyxOWKqrq0lJSSElJQWAjIwMUlJSyMrKoqGhgeuvv57k5GS+/PJLDAYD+fn55Ofno9P9VqQ0Z84c5s+f3/zv559/nrVr15Kenk5KSgp33HEHKSkp3HvvvW3/DoUQl4Q1h/Ko0RmI8XdjWKyfTe9lMJr45/fmQtubhkbRJ8zbpvcTjiM+3JuJ8SGYTPD6Otutskzqaz41m5xZRn6FbAtBKxKW5ORkEhISSEhIAGDevHkkJCTwj3/8g5ycHFavXk1OTg4DBgwgNDS0+bFjx47ma2RlZZGX91vWWF5ezt13302vXr0YP348ubm5bNmyhcTERCt8i0KIS0FTZ9sZQ6JsvtqxbH8OR/Mq8XRRM+/Knja9l3A8867sgUIBPx/JJzWnwib3CPV2ZXC0r3lb6LCssgAoTLbuNdxOKisr8fb2pqKiQraHhLjEnMivYsKbW1ArFeycf7lNe1fUaBsY+9omCqu0PD2pl017cgjHNe/rFJYfyGV0j0AW3W6bN9cLtmfw/PdHGRzty3f3JdnkHo6gpa/fMktICNHhNU1HvqJXsM0bbX24JZ3CKi1Rfm7MSYq26b2E43rkiu6olQo2nyxi75lSm9xjYnwoCoV5Wyivos4m9+hIJGERQnRo2gYDKxuLbWck2ra9QV5FHR9tMffgmD8xDo1aZdP7CccV7e/ODYPNP2//WXfCJvcI8XZhcLQvAD+mymwhSViEEB3axmOFlNfqCfbSMKp7oE3v9eraE9TrjQyJ8eWqeBklcql7aFw3nFVKdqWXsju9xCb3mNzYk2XNIZktJAmLEKJDW7Y/B4BrEyJQKW1XbHs4t4Ll+80rOX+f3FuOMQvCfFy5YbB50OV/N56/b1hbTOxr3hban1XO2fJLe1tIEhYhRIdVVKXl1xNFAFw/yLadbV9Za172n9I/jP7tMKNIdAz3jemKk0rB9lMlJNugliXYy4UhMeZj+pf6bCFJWIQQHdaqlFwMRhP9I31sOnRw+6litpwswkml4K/j5Riz+E2ErxvXDzKvsrz1i21WWa6W2UKAJCxCiA5sWeMWTdMLhi0YjSb+76fjANw8NJoofzeb3Ut0TPeP6YZaqWBrWjH7s8qsfv2r4kNQKOBAVjk5ZbabYeToJGERQnRIR842DjpUKZun29rCj4fzSM2twEOj5qFx3Wx2H9FxRfq5cd1A85Zk0zBMawrydCGxcVvop0v4tJAkLEKIDmnZPvPqypW9g2026FBvMPJqY+3K3aNi8fewbY8X0XHdN6YbCgVsPF5okxlDTdtCP17CXW8lYRFCdDh6g5FVjb1Xptuw2HbpniwyS2oJ8NBwx2VdbHYf0fF1CXDnqj7mo+4fbk63+vUnNF77QFY5hZWX5mwhSViEEB3OphNFlNToCPCwXe+Ver2BtxuX9x++vBvuGrVN7iM6j7sbxzSsSsm1emfaIC8XBjSeTlt/rMCq1+4oJGERQnQ43+3LBuDahDDUKtv8GftydxaFVVrCfVyZMcS2HXRF55AQ5cvQLn40GE18ti3D6tcf3ycYgHVHJGERQgiHV1qjY+PxQgCm2+h0UK2ugfc3mVdXHhrXTVrwixa7d0xXAL7anUVFnd6q1x7f27wttPN0CVX11r12RyAJixCiQ1mdkoveYCI+3Iu4ENtMZv98ZybF1Tqi/NxslhSJzmlMj0B6BntSozPw5e5Mq167W5AHsYHu6AxGNp8ssuq1OwJJWIQQHUpT75XpA22TSFRrG/hws3nA4cOXd8fJRltOonNSKBTcM9pcy7Jg+xnq9QarXr9pleVS3BaS30QhRIdxIr+K1NwKnFQKpg6wzemghdszKKvVExvgzrQBYTa5h+jcpvQPI8zbhaIqLSsP5Fr12k11LL8eL0TXYLTqtR2dJCxCiA6jadDh2J5B+Llbv/dKZb2ej7aYj6Q+ckV3mxX0is7NSaXk9sZj8B9tScdgNFnt2gMifAj01FClbWCXjSZEOyr5bRRCdAgNBmPztGRbteL/dGsGlfUNdA/y4Op+srryZ2q0DZwuquZgdjnJZ0rZcbqYnadLOHK2guzS2kuyGPTPzEyMwstFTXpxDeuPWm/7RqlUcGXvxtNCRy+trrfSWEAI0SFsTSumuFqLn7szY3oGWf365bW65qOoj17RA5VSYfV7dCS1ugYOZJVz5GwFR85WcjyvirPldVRpGy76XF83J7oEuNMlwIP4cC8GR/vRK9Tzklqx8tComT08mnd/Pc0Hm08zoU8wCoV1fqau7B3MV7uzWH+0gH9eE4/yEvlZlYRFCNEhLG+sBbimfxjOauu/8H28NZ0qbQNxIZ5MjA+x+vU7ghP5VfxyvIAtJ4vYl1mG3vDnWxkeGjVeLmqc1UrUKiUmk4mq+gYq6/XU642U1eopyypnf1Y5y/abn+PmrGJYrD/jewdzRe9gAi6BMQe3JsXw8dYMUrLL2Z9VxqBoP6tcN6mrP+7OKgoqtaTmVtC/saFcZycJixDC4VVrG1jfuPx9bYL1i21LqrUs2H4GgMeu7HHJvGMFOFtex6qUs6xKyeV4/rkzcMJ9XOkX4U2fMC96h3kR5edOiLcLHhfo+lujbSCzpJaM4hpOFVZzILuMfZllVNU3sPF4IRuPF6JckcrQLv7MTIzkqviQTtvnJsjThWkDwvgmOYeFOzKtlrBo1CrGxAWx5lAe647mS8IihBCOYt2RfOr1RmID3OkX4W3163+0JZ1anYH4cC/GN9YHdGYmk4k9GaV8tj2D9UcLaKoJdVYpGdk9gDE9AxnZPZBofzeLtzHcNWp6NyY4TYxGE8fzq/jlWAFrj+ZzOLeSnekl7EwvwdfNiRsHR3L7ZV0I9nKx5rfpEOYMj+Gb5Bx+Ss2jYHIvq32P43sHmxOWIwX8dUKcVa7p6CRhEUI4vBWN20FTB4RbrQ6gSVGVlkU7zwAw78oeVr++IzGZTKw9ks87v57icG5l88cTu/hxbUI4k+JD8XZzsvp9lUpFcxLz0OXdyS6t5bt9OXy9N5v8yno+3JLOgu1nuHFIBPeO7kqEr5vVY7CX+HBvBkf7kpxZxpe7s5h3ZQ+rXHdsXBBOKgVphdWkF1UTG+hhles6skunAkoI0SEVVtWz/VQxAFNt0Bflk23p1OuN9I/0YawNinkdgclk4tfjhUx5Zxv3Lt7P4dxKNGolsxKjWPfYKL65ZzizEqNskqz8mUg/Nx67sgfbnhzLR7MHMTjaF53ByOJdWYx5dRMv/HCUitrOc9ro1qQYwNyu31q9U7xcnBgW6w/AOiueQnJkssIihHBo3x/Mw2iChCgfYgLcrXrt8lodi3ea26c/NLZbp1xdOZFfxT9WHWZ3RikA7s4qbr+sC7eN6GKTXjaWUKuUjO8TwpW9g9mdUcrbG9PYfqqET7dlsHx/Do9e0YObh0Z1+NNFV8WHEOyloaBSy0+H86zW9HB872C2phWz8Vgh947uapVrOrKO/VMghOj0VqWYt4Om2aCz7aIdmdToDMSFeHJ5r861ulJZr+f5748w6b9b2Z1Rikat5O5RsWx5Yix/Gd/T7snK7ykUCobF+vPlncNYdHsi3YM8KKvV8+zqI0x/fwfH8ysvfhEH5qRScvPQaAAW7jhjteuOjTP/zO7LKutUK1LnIwmLEMJhnS6q5lBOBSqlgqv7hVr12jXaBhbsMPddub+Tra78cqyAK/6zmQXbz2AwmriqTwi//GU0T03qhb+DHyce3SOQnx4ZyQtT++DpouZgTgVT3t7GG+tPduhW9LMSo3BWKTmQVc6hnHKrXDPC140ewR4YjCY2p3X+YYiSsAghHNaqxmLbUd0DrP5C+9XuLMpr9XQJcGdyX+smQ/ZSUafnL98c5I5FyRRWaYkNcOfz2xP5YPagDlXIqlYpmT08hg3zRnNl72D0BhNv/ZLGDR/sIKuk1t7htUqgp4bJjUm3LVZZNh0vtNo1HZUkLEIIh2QymViZchaAaVbuvVKvN/DRVvPMoPtGd+0UXW13ni5hwhtbWLY/B4UC7h4Vy4+PjGRUj0B7h9ZqwV4ufDR7EG/PSsDb1YmDORVM+u/W5m3Cjqap+PaHg3mUVGutcs2mQvFNJ4usOrPIEUnCIoRwSPuzyskqrcXNWdU8O8Vavt2XQ1GVljBvF6snQ+3NYDTx9i9p3PzJLvIr6+kS4M539w7nqUm9cHHq+A3ZFAoFU/qH8eMjIxkc7Uu1toFHlqbw7KrD6A0da4toQKQP/SO80RmMLN2bbZVrDor2xdNFTWmNjoNW2mpyVJKwCCEcUtO76Kv6hODmbL0DjXqDkQ83nwbMqxC2aPPfXoqrtcxdsIf/rD+J0WQeCrnm4cus1lHVkYT7uLL07mE8NK4bAIt2ZjLn0z2U1ujsHJllmlZZFu/KpMEKCZeTStm8itbZt4U67m+qEKLT0huM/HAoD4CpVl4BWZ1ylpyyOgI8nJmZGGXVa7enI2cruObtbWxNK8bFScmr1/fjtRv6WzW5czRqlZK/jO/Jh7MH4e6sYmd6Cde8s41ThVUXf7KDmNwvlAAPZ/Iq6tlwzDr9U5q2hTaekITlHFu2bGHKlCmEhYWhUChYuXLlOZ83mUw899xzhIWF4erqypgxYzhy5MhFr7ts2TJ69+6NRqOhd+/erFixwtLQhBCdxNa0IkprdAR4ODOiq7/Vrms0mnhv0ykAbr+sS4fdMvkpNY/r39/J2QrzFtDqBy/jhsGR9g6r3UzoE8Ly+0cQ5edGTlkd09/fSfKZUnuH1SIatar5v9WSPdbZFhrT07zCcji3ksLKeqtc0xFZnLDU1NTQv39/3nnnnT/9/CuvvMLrr7/OO++8w969ewkJCeHKK6+kqur8GfDOnTuZMWMGs2fP5uDBg8yePZsbb7yR3bt3WxqeEKITWHHAXGw7pX+YVZuGrT2Sz+miGrxc1MweFm2167YXk8lcr3Lfl/up0xsY2T2AlfePoEewp71Da3c9QzxZ+cAIEqJ8qKjTc/Mnu1l7JN/eYbXIzCHmhGVLWhE5ZW0/9RTgoaF/44ytTSc67/Fmi/8STJw4kX/9619cd911f/icyWTizTff5Omnn+a6664jPj6eRYsWUVtby1dffXXea7755ptceeWVzJ8/n7i4OObPn8/ll1/Om2++aWl4QogO7veTma3ZLM5kMvHOr+bVlblJMXi6tE8bemtpMBh5asVh/rP+JAC3j+jCgrlD2q2dviPyc3fmqzuHcUWvILQNRu5bvI9l+3LsHdZFRfu7k9TVH5MJvkm2TrxNx5s3duI6FqvWsGRkZJCfn8/48eObP6bRaBg9ejQ7duw47/N27tx5znMAJkyYcMHnCCE6p7WHbTOZefPJIo6crcTVScXcEV2sdt32UKczcO/i/SzZk4VCAS9M7cM/pvTu8C3rrcHVWcUHtwxixuBIjCZ4/LuDLNmTZe+wLqqpfurb5GyrHEce15iwbDtV3KEb7F2IVX/a8/PN74qCg889ghgcHNz8ufM9z9LnaLVaKisrz3kIITq+1QfN20HWnsz8/ibzyaCbhkY5VFv6i6ms1zP7091sOFaAs1rJ+zcPYvbwGHuH5VDUKiX/N70vtw6PxmSC+ctTWWTF5my2MKFPML5uTuRV1LP5ZNtXReLDvAnw0FCtbegw9TyWskl6/r9/ZEwm00X/8Fj6nJdeeglvb+/mR2TkpVNwJkRnVVqjY1vjZOYp/a3XffZgdjm7M0pRKxXcObLjrK6U1ei4+ePdJGeW4eWi5ss7h3JVfIi9w3JICoWC567pw12N/32fXX2Er3Y77kqLRq3iuoERgHWKb5VKRXPxbWfdFrJqwhISYv5F+t+VkcLCwj+soPzv8yx9zvz586moqGh+ZGdbp9paCGE/Px3Ow2A0ER/uRWygh9Wu29TV9poBYYR6u1rturZUVKVl1se7SM2twN/dmaV3D2dITOfrr2JNCoWCpyb14p5RsQA8vTKVlQcctyvurETzG+2NxwspsMLpnqZtoV876fFmqyYsXbp0ISQkhPXr1zd/TKfTsXnzZpKSks77vOHDh5/zHIB169Zd8DkajQYvL69zHkKIju37xu2gKf3CrHbNrJJafko193S5a2Ss1a5rS4VV9cz8aCfH86sI8tSw9O5h9A6Tv3EtoVAo+NvEOGYPM28P/eXbgw57eqhbkCeDo30xGE18m9z2N92XdQ9ArVRwuqiG7NKOOXPpQixOWKqrq0lJSSElJQUwF9qmpKSQlZWFQqHg0Ucf5cUXX2TFihUcPnyYuXPn4ubmxk033dR8jTlz5jB//vzmfz/yyCOsW7eOl19+mePHj/Pyyy+zYcMGHn300TZ/g0KIjqGgsp7dGea998lWnMz86bZ0jCYY1SOQXqGO/6JfUq3l5o93c7qohlBvF76+ZzjdL8Fjy22hUCh4/po+TB8YgcFo4qElB9jroHUdTcW3XydnY2xj8a2XixMJUT4AbE0rbmtoDsfihCU5OZmEhAQSEhIAmDdvHgkJCfzjH/8A4IknnuDRRx/l/vvvZ/DgweTm5rJu3To8PX/7hcvKyiIvL6/530lJSSxdupQFCxbQr18/Fi5cyNdff83QoUPb+v0JITqINYfyMJnMs1GsNVm4rEbXfGy0aZvAkZXX6pj96R7SCqsJ9jKvrHQJcLd3WB2SUqng5el9uaJXMLoGI3cuSnbIjriT+4bi6aImu7SO7afbnmSM7G6uY9ma1vn6sShMJlOnGO9YWVmJt7c3FRUVsj0kRAc07d3tpGSX89yU3lY7dvz2L2n8Z/1Jeod6sebhy6x66sjaqur13PLJbg7mVBDgoeHre4bR1Yp1PJeqOp2Bmz7ZxYGscsJ9XFlxfxJBXi72Duscz6w8zBe7MpncN5R3bx7YpmsdyCrj2vd24OWiZv8zV3aIo+8tff12/O9ECNHpZZfWkpJdjlIBk6y0HVSvN7Bo5xkA7hkd69DJSr3ewN2f7+NgTgW+bk58eedQSVasxNVZxae3DqFLgDu55XXc9Xky9XqDvcM6x8zG4tt1R/PbPMyxX4QPXi5qKusbOJRbYY3wHIYkLEIIu/v+kLnYdlisP0Ge1nn3u3x/LsXVOsJ9XJnU13o1MdZmMJp4dGkKO9NL8NCo+eKOofQMkZoVa/Jzd2bRbYn4ujlxMKeCv353CEfaXOgT5k2fMC/0BhM/NP4utJZKqeCy7gEAbOtkdSySsAgh7O77g+aatin9rXM6yGg08UnjUebbL+uCk4Mui5tMJv6+8jA/H8nHWaXkozmDiA+3Xndf8Zsofzfev2UQaqWC7w+e5e2Np+wd0jmaerJYY7TAZd06Zx2LY/4WCyEuGacKqziWV4laqWCilZqibThWQHpxDZ4uamYMcdymkv/95VRzu/23Zg4gqWuAvUPq1IbF+vPCtHgAXl9/kvVHC+wc0W+mDghDpVRwMKeizcXBIxtXWPZnlVNVr7dGeA5BEhYhhF01ra6M6hGIj5t1WuZ/tMW8unLLsGg8NGqrXNPaVhzI4Y0N5kGGL0yNZ6IDb1t1JrMSo5ibFAPAvK9TyCiusW9AjQI8NIzpYV4ZWb6/bc3uIv3c6BLgjsFoYufpEmuE5xAkYRFC2I3JZGquX7FWK/59mWUkZ5bhpFJwW+MLk6PZlV7CE98dAswFwbcMi7ZzRJeWpyb1YnC0L1XaBu79Yh+1ugZ7hwT8ti204kBumwciNq2ydKZ+LJKwCCHs5mheJelFNWjUSq7odf5RHJZoql2ZNiDc4Y6vApwuquaeL/ahN5iY3DeUJyfE2TukS46zWsm7Nw8kwEPDiYIqnl5x2N4hAXB5ryC8XNTkVdSzK71tKyOdsR+LJCxCCLtp2g4aFxeEp4tTm6+XXVrb3Ib9Tgdsw19Zr+euz5OpqNMzMMqH/9zYH6XScY9bd2bBXi68e1MCSoV5RWPFgbYXu7aVi5OKqxsLz5ftb1s8w2L9UCsVnCmpJaukc7Tpl4RFCGEXJpPpt9lBVjodtGjHGYwm83K4ox0NNhpNPLY0hfTGlvsfzh6Mi5PK3mFd0obG+vPI5T0A+PuKw2SW2L+eZXrjttDPh/Op0bZ+q8rTxYmBUb4AbD3VOVZZJGERQtjFgexycsvrcHdWMbZnUJuvV61t4Ou95gFyt1upU641vflLGr8cL8RZreTD2YMI9NTYOyQBPDiuG4kxftToDDy8NAW9wWjXeAZG+RDj70atzsDPh9s2tLGpH8vWk52jjkUSFiGEXTStrlzZOxhX57avNHybnE2VtoHYQHdGN562cBQ/H87nv7+kAfDStX3pF+Fj34BEM5VSwRszB+DlouZgdjlvrD9p13gUCkVz8e3yNm5TNRXebj9d3OYiXkcgCYsQot0ZjCZ+OGS9ZnEGo4mFO84AcNuILg5VF5JWUMVfvkkB4LYRMUwfFGHfgMQfhPu48vL0fgC8v/k0O07Zd0Xi2oRwAHacLuFseV2rr9MvwgdPFzVV9Q0cOdvx2/RLwiKEaHe7M0ooqtLi5aJuPs3QFhuPF5JZUou3qxPTB4ZbIULrqKjTc/cX+6jRGRgW68dTk3rZOyRxHhP7hjIrMRKTCR77JqXNM33aItLPjaFd/DCZYFVK61v1q5QKhnbxB8zJT0cnCYsQot01nQ6aGB+Ks7rtf4Y+25YBmJuCuTk7RqM484ygA2QU1xDu48q7Nw102BEBwuyZq3vTNdCdgkotTy1Pteu8oakDzIl309Zpaw3vak5YOkMDOfntEUK0K73ByE+HrbcddORsBTvTS1ApFcwZ7jgN2N76JY1fTxShaSyy9feQIltH5+as5r+zElArFfx8JJ8fU9tW9NoWE+NDUCsVHM2r5FRhdauvMzzWnLDsPVNq94LitpKERQjRrradKqa8Vk+AhzPDYv3afL0F288AMKlvKGE+rm2+njXsOFXM2xvNRbb/N72vDDTsQPqEeXP/2G4A/GPVYbttDfm6OzcXzbZllSUuxBNfNydqdQYO5ZRbKTr7kIRFCNGumv74TuobirqNWyRFVVpWN+7x3z4ipq2hWUVxtZZHvk7BZIIZgyO5NkGKbDuaB8d2o2ewJyU1Ov75/RG7xXHNAPMK5PeHzrZ6e0qpVDCscZVlx6mOvS0kCYsQot3U6w2sO2KekGuN7aAvd2eiMxhJiPIhobFJlj0ZjSbmfXOQoiot3YM8eO6aPvYOSbSCs1rJK9f3Q6mAlSln2WCnqc5X9g5Bo1aSXlTD0bzKVl8nqamOpY3t/u1NEhYhRLvZcrKIam0DIV4uDGpjglGvN7B4VyYAd1zmGI3iPtySzpaTRbg4mWfVWKO/jLCP/pE+3NU43uHplalU1OnbPQYPjZrLe5mbKq5uw7ZQU+FtcmYZ9XqDVWKzB0lYhBDt5sdUc7HtpL6hbe6V8v3BsxRX6wjzduGqPiHWCK9N9mWW8dq6EwA8N6UPPYIdazSAsNxjV/agS4D51NBLPx6zSwxT+plXIn84mNfqbaGugR4EemrQNRg5kFVuxejalyQsQoh2Ua83sOFYIQCT+7UtwTCZTCzaeQaA2cNj2lwL01YVtXoeXnIAg9HElP5hzBgSadd4hHW4OKmaG8ot3ZvNdjs0lBsbF4SHRk1ueR37s8padQ2FQtF8WqgjbwtJwiKEaBdN20Gh3i4kRLZtO2h/VjmHcyvRqJXMtHNyYDKZeGLZQXLL64j2d+PFa+NRKByn065om8Qufs3H5Z9ZeRhtQ/tuqbg4qRjfOxj4rX9RazTXsZzuuHOFJGERQrSLNam/NYtr63bQosY2/FMHhOHr7tzW0Npk8e4s1h4pwEml4J1ZA/F0cbJrPML6Hp/QkwAPDenFNXza2KSwPU1pPC30w6E8GlrZS6WpjiUlu5xaXeunQNuTJCxCCJur1xuaT1pM7hfapmsVVtY318LMGR7T1tDaJKO4hhfXmGsbnrwqjr4R0m+lM/JyceKpSXEAvP3LqTbN92mNy7oF4OvmRHG1lt0Zpa26RpSfG2HeLugNJpLPtG5ryd4kYRFC2Nzmk0XU6AyN20E+bbrWl7uzaDCaGBzta9eGbA0GI499nUKd3sCIbv7cPsIxTioJ27g2IZwhMb7U6Q38a83Rdr23k0rJVfHmuq+mLtGWUigUDO9qbkS3q4PWsUjCIoSwOWudDtI1GPlqTxYAtybFWCO0Vnt/02lSssvxdFHz6vX9HWpCtLA+hULBP6fGo1Iq+DE1ny0ni9r1/lfFm1cmfz5cgMHYutNCQ7uYO0vvPdO6VRp7k4RFCGFTv98OmtS3bdtBPx3Oo6hKS5Cnpvkdpz2k5lTw1i/m1vv/nNrHYUYCCNvqFerVXID73Ooj7VqAOzzWHy8XNcXVWvZltm5LZ0hjwnIwu6JD9mORhEUIYVNN20FhVtgOaiq2vXlotN0mH9frDTz2TQoNRhOT+oYwrXGqrrg0PHZlj+YC3E+2tl8BrrNayRWNp4Vauy0U4+9GgIcGncHIwexyK0bXPiRhEULYVNN20MQ2bgel5lSwP6scJ5WCWUPtd5T5lZ9PcKqwmkBPDf+e1leOMF9ivFyceHqyuQD3nY2nKKisb7d7T2zeFsrH2IptIYVCQWIXc0uBjrgtJAmLEMJmrHk6qKlR3KS+oQR5urQ1tFbZcaqYz7ab31W/cn0/ux+pFvYxbUA4A6N8qNMbeH3dyXa778juAbg7q8irqOdgKycvJ8aYt4X2dMCTQpKwCCFsxlrbQSXV2uZZKvYqtq2s1/P4twcBuGloFGN7BtklDmF/CoWCpyf3BuCbfdkca8NgQku4OKkYG2f+ufv5cH6rrtFUx7I/s6zVxbv2IgmLEMJm1hz67XRQW7ZOlu7NRtdgpF+Ed5vrYFrrpR+Pc7ainmh/N56e1MsuMQjHMSjal8l9QzGZ4MV2nDPUVLj+0+H8Vs0WigvxwlOjplrb0G6JlrVYPWGJiYlBoVD84fHAAw/86ddv2rTpT7/++PHj1g5NCNGO6vUGfjnWeDqoDdtBDQYjXzZOZZ4zPMYuNSM7ThWzpPE49cvT++GuUbd7DMLxPHFVT5xUCramFbO5nY45j+kZiIuTkqzSWo62IuFQKRUMijHXsbS2CZ29WD1h2bt3L3l5ec2P9evXA3DDDTdc8HknTpw453ndu3e3dmhCiHa06YR5Oyjcx7VNqyIbjhVwtqIeP3dnrm5jHUxr1OoaeHL5IQBmD4tmWOMQOSGi/d25tbHb8otrjrXLFoubs5rRPQIB+Cm1ldtCjXUsey/1hCUwMJCQkJDmxw8//EDXrl0ZPXr0BZ8XFBR0zvNUKpW1QxNCtKPm00HxIW1aFVnYeJR5VmIkLk7t/3fh1bUnyC6tI9zHlScnxrX7/YVje3BcN7xdnThRUMW3ydntcs/m00JHWpew/L6BXGu2lezFpjUsOp2OxYsXc/vtt1/0D1ZCQgKhoaFcfvnl/Prrr7YMSwhhY/V6AxuOtf100PH8Snall6JSKrh5aLS1wmux5DOlzQnTS9f1xUO2gsT/8HFz5uHLzTsC/1l/khqt7QcLjusVhFqp4FRhNRnFNRY/v2+EN85qJSU1OtJb8Xx7sWnCsnLlSsrLy5k7d+55vyY0NJSPPvqIZcuWsXz5cnr27Mnll1/Oli1bLnhtrVZLZWXlOQ8hhGPYdKKI2sbtoAFt2A5atMNcuzK+d3C7d5Ot1xt4YtkhTCa4YVAEoxqX4YX4X7OHRRPl50ZRlbb5+L0tebk4NW9NNrUNsIRGrWr+vexI20I2TVg+/fRTJk6cSFhY2Hm/pmfPntx1110MHDiQ4cOH89577zF58mRee+21C177pZdewtvbu/kRGWm/RlJCiHOtaZ4d1PrtoIpaPSsP5AL2Ocr81i9ppBfVEOSp4e+NR1iF+DPOaiWPXWleZflwczoVdXqb3/OKXubjzeuPWZ6wwG/9WJJb2ebfHmyWsGRmZrJhwwbuvPNOi587bNgw0tLSLvg18+fPp6KiovmRnd0+e4dCiAv7/emgyf3O/2blYr7dl02d3kDPYM/mPff2ciinnI+2pAPwr2nxeLs5tev9RcdzTf9wugd5UFGn59Ot6Ta/X1Ob/uQzpZTV6Cx+/sBoHwD2Z0nCwoIFCwgKCmLy5MkWP/fAgQOEhl5431uj0eDl5XXOQwhhf5tOFDZvB/WP8G7VNYxGE180HWVOim7Xo8x6g5Enl6ViMJqY0j+M8X3sN2RRdBwqpYJ5V/YA4NNtGZS2IomwRISvG71CvTCaYOPxQoufnxBpPtqcXlRDea1tY7UWmyQsRqORBQsWcOutt6JWn1ukNn/+fObMmdP87zfffJOVK1eSlpbGkSNHmD9/PsuWLePBBx+0RWhCCBtb03jUcnK/1jeL25JWRGZJLZ4u6nYfLvjZtgyO5VXi4+bEs1NkK0i03FXxIcSHe1GjM/DB5tM2v9+VjdtCG1qxLeTr7kxsgDsAB7LKrRmWzdgkYdmwYQNZWVncfvvtf/hcXl4eWVlZzf/W6XQ8/vjj9OvXj5EjR7Jt2zbWrFnDddddZ4vQhBA2dE6zuL6tPx30xU7z6sr1gyLatUlbdmktb2wwz4Z5alIvAjw07XZv0fEpFAr+Mr4nYJ4sbuvBiE3bQptPFlGvN1j8/IQo8ypLR9kWsslfgvHjx5/3bPfChQvP+fcTTzzBE088YYswhBDtzBrbQdmltWw8YV7inj2s/Y4ym0wmnll1mHq9kaFd/LhhUES73bsjqKzXc7a8jpJqHcXVWmp1BrR6Aw1GE2qlAie1Eg+NGl83Z/w9nInwdcPb9dKr/RnTI5DB0b4kZ5bx7q+n+OfUeJvdq2+4N8FeGgoqtexKL2GMhfOtEqJ8WLY/p8OssEhTASGE1fzQODuoLdtBi3dlYjKZJ9PGBnpYM7wL+uFQHptOFOGsUvLidX3tMgLAERiNJk4UVHEwu5zDZys4lldFRnFNq2oyvFzUdAvyoFeoF33CvBkc40u3QA+Uys77v23TKsusj3exZE8W947uarMj+QqFgit6BfPl7izWHy2wOGEZ2LjCkpJdjsFoQuXg/10kYRFCWEWdztBc/De5ldtB9XoDXzd2C53T2PK8PVTU6nn++6MA3D+2K13bMVFyBGfL69h4vJDNJ4vYe6aU8to/P5br6+ZEgIcGP3dnPF3UaNQq1CoFDUYTugYjVfV6ymv1FFVpKanRUVnfwP6scvb/7h28r5sTSd0CGNcziLFxQfi5O7fTd9l+hnf1Z3isPzvTS/hw82met+EqyxW9zQnLhmMF/GtavEWJds8QT9ydVVRrG0grrCIuxLEPr0jCIoSwiqbtoAhfV/q1cjvo+4NnKa/VE+7jyrg4y94ttsXLa49TXK2la6A7943p2m73tafc8jq+P3iW7w+e5cjZcxtvujur6B/pQ99wb3qHedEtyINof3eLOv3W6hrIKq3lRH4Vx/LMKzYHsssoq9Wz5lAeaw7loVIqSOrqzzX9w5jUN7RTDZV8aFw3dqaXsGRvNg+M60aQp4tN7pPU1R83ZxUFlVqOnK0kPrzlv3sqpYL+kT7sOF3C/sxySViEEJeGpmZxk/u2bjvIZDLxeWOx7c3DotpteTr5TClf7TYfBHjx2r5o1J13jpm2wcDaIwUs2Z3FzvSS5o8rFObtgXFxQYzoFkB8mBdqVdvOZLg5q4kL8SIuxIupA8wf0zUYSc0t59fjRWw8XsjRvEq2phWzNa2Y51YfYWpCOLOHRdMr1LFfOFtieFd/BkX7si+zjI+3pPO0jZoPatQqkroGsOFYAZtPFlmUsID5v/uO0yXszyrjpqFRNonRWiRhEUK0WZ3OwC/HzNtBrT0dlJJdTmpuBc5qJTMGt0/nar3ByFMrUgG4cXAEQzvpJObCqnq+2JnJl7uzmmtRFApzt9OpA8KZ0CcY/3Y4EeWsVjIo2o9B0X48PqEnGcU1fH/wLCsO5JJRXMNXu7P4ancWI7sHcO/oriR19e+wtUQKhYIHx3XjtgV7Wbwri/vGdLPZ9tfYuEA2HCvg1+OFPDC2m0XP7UgN5CRhEUK02aYThdTp27Yd1HSU+ep+oe3y4gnmnisnC6rxc3fmqUm92uWe7Sm3vI53NqaxbF8uOoMRgBAvF24cEsmMIZGEt/N8pv/VJcCdhy/vbt4+OV3C4t2Z/Hw4v3nVZVisH09eFdd8/LajGdMjkL7h3qTmVvDptnT+OsE2076bim33Z5VRXqvDx63lidH/NpCz5LntzaazhIQQl4Yf2rgdVFKtbT5h1F7FtnkVdbz1i3kEyPyJcQ79h9pShVX1PLf6CGNf3cSSPdnoDEYSonx47+aBbHtyLPOu7GH3ZOX3FAoFSd0CeO/mQWz+61huHR6Ns0rJrvRSrn1vB/d+sY9ThdX2DtNiTassYB7kWXGeYua2CvdxpUewB0YTbE0rtui5vu7OdGlsIHcop8IW4VmNJCxCiDap0xnY2LgdNLlf67aDlu41v6j2i/Bu03RnS7zww1FqdQYGR/syfWDn6LlSXqvj/346zuhXNrFwxxl0BiPDY/359t7hrLh/BJP6hra5NsXWIv3ceH5qPL/+dQzXD4pAqYCfj+Qz/o3NPLPyMFX1th8saE1X9gomLsSTam0DC3ecsdl9xjausvx6wvI2/U2roodyyq0ZktU59k+uEMLh/fq77aC+Fhb8ARiMpuai1/ZaXdlysogfU/NRKuCfU+M7fF8Qg9HEFzvPMOqVX/lg82nq9AYGRPrw5Z1DWXL3MIbEtO/wSGsI93HltRv68/Ojo7iiVzBGE3yxK5MrX9/C+qOtm1BsD0qlormuZNHOM9TpLO9I2xKjewYC5p9to/HPG7eeT9PvraywCCE6tebTQa1sFvfLsQJyy+vwdXPi6lau0FhC22Dg2dVHALg1KYbeYR37RMqhnHKmvbudZ1YdobK+gbgQTz6ZM5gV9ycxoluAvcNrsx7Bnnxy62C+unMoMf5u5FfWc9fnyTzw5X4Kq2zb+t5aJsaHEOnnSmmNju/2ZdvkHoOj/fDQqCmu1nH4rGWJR//GVU1JWIQQnVatruG37aBWng5qmsp845BIXJxsf6T44y3pZBTXEOip4bHG6bodUUWtnmdWHmbqu9tJza3A00XNP6f2Yc3DI7mid3CHPV1zPkndAvj50VHcN6YrKqWCNal5XPn6Fn4+nG/v0C5KrVJy52WxAHyyLQODhSsgLeGsVjKim/mU26/Hiyx6bp8wL5QKyK+sp9DG84/aQhIWIUSr/Xq8iDq9gUi/1m0HnS6qZmtaMQoF3DLU9nODsktreefXUwD8fXIvvFw65qybtUfyufz1TXzROMbg2oRwfvnLaOYMj3H49upt4eKk4smr4lj94Ajiw72oqNNz7+J9PLf6CNoG22y1WMsNgyPwcXMis6SWtUdsk2S1to7FzVlN9yBPwLFXWSRhEUK02prUswBc3S+sVe/om44yXx4XRKSfm1Vj+zPPf3+Uer25EPWa/mE2v5+1VdXreeK7g9zzxT6Kq3V0DXTnq7uG8saMATbrpOqI+oR5s+L+EdwzyrxqsXDHGaa/v4MzxTV2juz83JzVzGkc5vnh5tPnHRDcFk11LIdyyi0+kdS3qfA2VxIWIUQnU6NtaNPsoBptA8v25QAwux2KbX85VsCGYwWolQr+ObVPh9sy2ZNRysS3tvJNcg4KBdwzOpYfHxlJUteOX6fSGk4qJfMn9WLB3CH4ujlxOLeSq9/e5tBbRHOSYtColRzMqWB3RqnVrx/q7Uq3IPPx5h2nLTve3BFOCknCIoRolY3HC6nXG4nxd6NPKwpXV6bkUqVtIMbfjZE2Lg6t1xt47ntzoe0dI7vQPdjTpvezJl2Dkf/76TgzPtpJTlkdEb6uLL1rGPMn9urUYwRaamxcED8+MpLEGD+qtQ3cu3gf72+yzQpGWwV4aLh+kPkI/Udb0m1yj8saf5e2nrI0YfEBIDWnwiH/twNJWIQQrfTDIfN2UGtOB5lMJj7fYd4Omj08xubHit/79RTZpXWEervw8LjuNr2XNZ0tr2PGRzv5YPNpTCa4YVAEPz0ystOOEGitUG9XvrprKLcON2+5vPzzcf763SF0DUY7R/ZHd42MRaEwJ/y2aIY3srs5YdlmYQO5uBBP1EoFJTU6csvrrB6XNUjCIoSwWLW2gV9PmE8iTO5reS3InoxSThRU4eqkan7HaStnimv4YLP53ewzV/fuMBOBt6UVc/Xb2ziQVY6Xi5oPbhnIqzf0x7ODFgrbmlql5Pmp8Tx/TR+UCvhuXw63fLq7eXaSo4gJcOfyuGAAFtmgkdzQWH/USgVZpbVkldS2+HkuTiriQh278FYSFiGExX45VoCuwUhsgDu9Qi3fXvm88SjztIQwvF1t9wJsMpl47vsj6AxGRnYPYGJ8iM3uZS1Go4l3NqYx+zPzi22fMC9+eGgkV8XbvkdNZ3BrUgyfzR2Cp0bNnoxSbvhgB/kVjnVU9/YRMQAs259DRZ11O/d6aNQMbJy9tPWUZcebm076HbGwj0t7kYRFCGGxprk/V7diO6igsp61jYWRs4fFWDu0c2w8XsimE0U4qRQ8f43jF9pW1Om56/NkXlt3EpMJZgyOZNl9SUT52/4EVWcypmcQy+5PItTbhdNFNVz/wQ4ySxznBNHwrv70DPakVmfg22TrN5K7rJXbQr3DzAnL0bOVVo/JGiRhEUJYpKpez+am7aB+lm8HfbU7iwajiSExvjbtMqttMPDPH44CcMdlscQGetjsXtZwpriGa9/bzi/HC3FWK3l5el9evr5fuzTT64x6BHvy7b3DifF3I6esjhs+2MmJ/Cp7hwWYhyLObVxlWbjjjNUbyTUlLDtOl1h07d6h5t/Ho3mSsAghOoENxwrQGYx0C/KgR7BlSYDeYGTJHvPcIFsfZf5kawaZJbUEeWqaJ+Y6qt3pJUx7bzvpRTWEebuw/L4kZgyJsndYHV6Erxvf3DucuBBPCqu0zPhop8Mc2502IBwfNydyyur45Zh1ZyP1C/fG00VNRZ2eVAv6qsSFeKJQQEGlluJqrVVjsgZJWIQQFvnhYOPsoL6WbwetPZJPYZWWAA8NV/WxXT1JXkUd72w0d7SdPykODwcutP02OZtbPt1Nea2e/hHerHxgBPGt6Bos/lyQpwtL7x7GgEgfymv13PLJboeo0XB1VjGzMSldsP2MVa+tVilJ6mo+SbbdguPN7ho1Mf7uABxzwFUWSViEEC1WUadnS5p5O6g1gwo/b+xse1NiJM5q2/35+b+fjlOnNzAo2pdpA8Jtdp+2MBpN/N9P5uO3eoOJyX1D+fqe4QR5XToda9uLj5szi+8cysAoHyrrG5j96R7SCuy/PTRneDQqpYKd6SWctHI8TQ0Fd6WXWPS8pm0hSViEEB3a+qMF6A0megZ7Wtx87Xh+JXsySlEpFdxkw7lBezJKWZVyFoUChy201TYYeHjpAT7YfBqAh8Z14+1ZCVKvYkMeGjULb0+kb7g3pTU6bvpkNxl2buUf5uPK5XHm+T9f7c6y6rWHNfbqST5TZlE/mqa6MkcsvJWERQjRYmt+1yzOUk2rKxP6BBPibZtVBIPRxLOrzR1tZw6JcsitlWptA7cv3MsPh/JwUil4/cb+/GV8T5s3zxPg5eLE57cnEhfiSVGVlps+3kVOWct7ldjCzY3zhZbtz6FOZ70Bjt2DPPBzd6ZOb7CobseRC28dd2NXCOFQKmr1bG08JjnJwtlBlfV6Vh7IBWx7lHnJniyO5VXi5aLmrxN62uw+rVVcrWXugj0czq3EzVnFh7MHMbJ7oL3DuiC9wUhBZT2FVVoKK7UUVdVTVK1DbzBiNJpoMJowGE04qRT4uDnj4+aEb+P/jfF3J9TbxaFWuXzdzdtDMz7cyemiGm79bA/L7kvCx83ZLvGM7BZApJ8r2aV1/HDoLDcMjrTKdZVKBcNi/fgxNZ9d6SUMjvFr0fN6NSYsp4tqqNcbHGrVTxIWIUSLrD2ST4PRRFyIJ92CLDsdtGxfDrU6Az2CPRgW27I/nJYqq9Hx2roTAPxlfE/83O3zAnQ+WSW1zPlsN2dKavFzd2bhbUOa57c4imptAylZ5RzLq+RYfiXH86o4VViNztD6Fvduziq6BnrQLciDPmFeDO3iT+8wL1R2XFEK8NCw+M6hXPfeDk4X1XDX58l8ccdQu7w4K5UKZg6J4tW1J/hqT5bVEhYwbwuZE5ZSHhzXsucEe2nwc3emtEbHyYIqh/oZlYRFCNEiP6T+1izOEkajiS92/jY3yFbvtl9ff5LyWj1xIZ7cPNSxjgQfz69k9qd7KKrSEuHryue3JzpEXxhtg4EDWeXsOFXM9tMlHMwup+FP+nY4qRQEeboQ6KkhyFNDoKcGjVqFSgkqpRKVEvQGE+W1Ospq9ZTX6iip1pFVWkutzkBqbgWpuRWsaFxl89SoGRzjS1LXACb0CbFLY7xQb1cW3pbI9R/sYO+ZMh77OoV3bxpol625GwdH8sb6kxzIKufo2Uqr9SdqrmPJLEXXYGxRobtCoaBXqCfbT5VwPE8SFiFEB1NWo2s+Hmlps7jtp4tJL67BQ6Pm2gTbnNg5eraSL3ebk6Jnp/RBrXKc8rxDOeXM+WxPczK16PZEgu14EkjbYGDziSJ+OJTHL8cKqPmfuokIX1f6hnvTK9SLuBBPeoV6Ee7j2qoXcr3BSGZJDacKazhVWMX+rHL2ZpRS1TiL6tcTRfz7x2PEh3sxqW8ok/uGEt14rLY99Azx5KPZg7n1sz38dDifF9Yc5dkpfdrt/k0CPTVM6BPCmtQ8vtqTyb+m9bXKdbsHeeDv7kxJjY6DOeUMaeG2UPcgc8Ji7ZNLbSUJixDiotYeycdgNNEnzIsuAZa9oDQV204fGG6Tfigmk4nnVh/BaDIXAw/v6jiTjPdlljL3s71UaRtIiPJh4W2JNp2ddD5Go4ntp4tZcSCX9UcKqNI2NH8uwENDUld/RnTzJ6lrAJF+1lvtcFIp6RbkSbcgT8Dcd8dgNHEsr5Jd6SVsPF7IrvQSDudWcji3kld+PsHwWH9mD4/myt7BOLVD4jm8qz+v3difh5ccYMH2M3QL8uBmG55iO5+bhkaxJjWPlQfOMn9iL6sM6VQoFAyL9WdNah47T5e0OGHp0XgCMM0G06TbQhIWIcRFrWncDrL0dFBu+W9dPG3V2fb7Q3nsOVOKi5OSpyb1ssk9WmPH6WLuXJRMrc5AYhc/Pps7pN0b2FXU6vl2XzZf7s465whviJcLk/uFcnW/UAZE+rRrUaxKqSA+3Jv4cG/uHBlLSbWWtUcK+DE1jx2ni9mZXsLO9BKCvTTMSoxizvAYm9cjXdM/jOzSWl5de4JnVx2hW6AHQ2PbN/EdHutPlwB3Mopr+P7gWWYmWmdbc2isH2tS89h7prTFz2nqYO0IvWp+TxIWIcQFlVRr2XHa3HxqsoWng77clYnRBCO6+VtcqNsStboGXlxzDIAHxnQj3MfV6vdojU0nCrnni31oG8xToj+aPRhX5/Yr6DxZUMUnW9NZffAs9XpzwayHRs20hDCu6R/O4GhfhzlG7e+h4aahUdw0NIrc8jq+2p3J0j3ZFFRqeXNDGh9vSefWpBjuHBlr08Tl/jFdOZZXyQ+H8rjvy/2semCEVVebLkapVDArMZIXfzzOV3uyrJawDI42r6rszyyjwWBs0XZp9yDzCsvZinqq6vV4urT/quCfsfp623PPPYdCoTjnERJy4RbcmzdvZtCgQbi4uBAbG8sHH3xg7bCEEK30c+N2UN9wb4vqC+r1BpbuNU+itdVR5vd+PU1+ZT2Rfq7cNSrWJvew1MbjBdz9uTlZuaJXEB/Pab9k5XBuBfd+sY/xb2zhm+Qc6vVG4kI8+fe18ex+6nL+Na0viV38HCZZ+V/hPq78dUIcO+aP462ZA+gd6kWNzsB7m04z8uWNvPLzcSrq9Da5t0Kh4NXr+xMf7kVpjY67Pk+m5ndbZ+3h+kGROKuUHMqp4LAFM4AupGeIJ54aNTU6A8dbOPzR282JIE8N4FjbQjbZIOzTpw95eXnNj9TU1PN+bUZGBpMmTWLkyJEcOHCAp556iocffphly5bZIjQhhIXWHGrddtCPqXmU1ugI83bhil5BVo8rs6SGj7akA/D3yb0dol/EphOF3PvFfnQGIxPjQ3jv5kHtEte+zDJuW7CHq9/exs9H8lEoYGJ8CMvuG85Pj4zk5qHRVqmJaC8atYqpA8JZ8/BlfDR70DmJy7jXNrFkT5bVJxyDeb7PR7MHE+Ch4Xh+FfOXp2IyWf8+5+Pn7sz4PsEAfLcvxyrXVCkVJET7Auafk5ZqrmNxoG0hmyQsarWakJCQ5kdg4PkbI33wwQdERUXx5ptv0qtXL+68805uv/12XnvtNVuEJoSwQFGVtnkWiaXbQU3FtjcPi7bJqZ0XfjiGzmDechnfO9jq17fUtrRi7v5iHzqDkav6hPDfWQk2nZcEcLqomrs+T2b6+zv49UQRSgVcmxDOukdH8f4tgxgU7edQTdsspVAoGN8npDlx6RbkQUmNjvnLU5n67jaSLajLaKkwH1c+uGUgKqWC1QfPstjKLfMvZvqgCABWHzxrUUv9CxnSmLBYUsfSvbmOpZOvsKSlpREWFkaXLl2YOXMm6enp5/3anTt3Mn78+HM+NmHCBJKTk9HrbbP0J4RomZ+P5GM0Qf9IH4v28w/llJOSXY6zSsmMIdZrhNVk04lCNhwrQK1U8OyU3nZ/Ud55uoQ7P9+LrnEb6L+zEmx6wqW4WsvfV6Yy/o0trD9agEqp4MbBEWz8yxjemDHA4jlPjq4pcfnpkZE8c3VvPDVqDudWcv0HO/n7ylSrb90MjvFj/sQ4AF74/igHs8utev0LGdktgEBPDaU1OjadKLTKNQfFmBOW5DNlLV4xalphOdmZt4SGDh3K559/ztq1a/n444/Jz88nKSmJkpI/nxiZn59PcPC5746Cg4NpaGiguPj8Y7G1Wi2VlZXnPIQQ1tU0O+jqVq6uTOobQoCHxqox6RqM/PP7owDMTYppPDJrP3sySrl94V7q9UbG9gzk3ZsH2mxlRddg5L1Npxjz6iYW7zJvi1zRK4i1j47klev7E2PhkfOOxkml5I7LuvDrX8cwo7Ej7OJdWUx4cws7Tp3/9aI17risCxP6BKMzGLn/y/2U1+qsev3zUauUTBtg7nW0bL91toUGRPqgUirIr6wnt7yuRc/p3lgkf6ozbwlNnDiR6dOn07dvX6644grWrFkDwKJFi877nP99d9SUAV7oXdNLL72Et7d38yMy0vrv4oS4lBVW1rM7w7yEPLHvhQvnf6+sRsf3B82JzpykGKvHtXBHBunFNQR4aHjkiu5Wv74l9mWWctuCPdTpDYzsHsD7twxCo7ZNzcqO08VMfGsLr/x8gmptA/0ivFly1zA+uXWI3ZO29hbgoeHl6/vx5Z1DCfdxJaesjps+2c0zKw9Tr7fOAEGFQsEr1/cn2t+N3PI6Hv/2ULvVszRtC208XkhZTdsTJTdnNfGN3XNbWsfS1In5bEW9VYcytoXNu/K4u7vTt29f0tLS/vTzISEh5Ofnn/OxwsJC1Go1/v7nPwc/f/58Kioqmh/Z2dlWjVuIS91Ph/MxmSAhyocI35ZvB32TnI22wUh8uBcJkT5Wjamwsp63Npj/ljx5VU+7HrdMyS7n1s/2UqMzkNTVn4/nDLZJgW1RlZbHvk7hpo93c7qohgAPZ16/sT8r7x/hUE3y7GFEtwDWPjaK2Y0Tj7/Ylcm0d7dzykrbGN6uTrx700CcVUo2HCtot3qWuBAv+oR5oTeY+L5xlbOtBjUeb25pwuLr5oSXi7lQO7O05iJf3T5snrBotVqOHTtGaOifLykPHz6c9evXn/OxdevWMXjwYJyczv/HSKPR4OXldc5DCGE9zaeDLNgOMhhNLG5skT9nmPXnBv3fz8ep0RkYEOnD9IERVr22JQ7nVjD7091UaxtI7OLHJ7daP1kxmUx8vTeLcf/ZxIoDuSgUMHtYNL/8ZQzXDYxw2KPJ7c1Do+aFafF8cUciAR7OHM+v4pp3trHcStsp8eHePNlYz/KvH46226mZpp/vZVY6LTQgygegxfU4CoWiuav1meJOmrA8/vjjbN68mYyMDHbv3s31119PZWUlt956K2BeGZkzZ07z1997771kZmYyb948jh07xmeffcann37K448/bu3QhBAtdLa8jr2Z5u0gS44zbzpRSHZpHd6uTkzpb9nMoYvZl1nG8v3m4XnPX9PHbi/Yp4uqufWzPVTVNzA42pcFc4fg5mzdI8Nny+u4dcFenlyWSlV9A33DvVl5/whemBZvl9b+HcHI7oH8+PBIkrr6U6szMO+bgzy1ItUqJ21uS4phdI9AtA1GHlpywGrbThcydUAYaqWCgzkVnCpse5I0oHGI4dG8SrQNLYu/qSYqo7i2zfe3BqsnLDk5OcyaNYuePXty3XXX4ezszK5du4iONi/Z5eXlkZX127Jaly5d+PHHH9m0aRMDBgzghRde4L///S/Tp0+3dmhCiBb64dBZTCZI7OJHqHfLu8c2FdvOGBJp1WZpBqN5XhDAjYMj6G/lraaWyi2vY/Ynuymp0REf7sWC24ZYtb9J06rKhDe2sOVkERq1kqcn9WLlAyPs9j13JEFeLnxxx1Aeu6IHCgV8tTuLWz7dTUm1tk3XVSoVvHZDf/zdzSs4r649YaWIz8/fQ8OYnub+Rd/ty23z9SL9XPFzd0ZvMHEsr2UJUIy/Y62wWL2T0NKlSy/4+YULF/7hY6NHj2b//v3WDkUI0UqrUsz75lMHtHyV5ExxDZtPFqFQwC1WHh739d5sUnMr8HRR89cJcVa9dksVVWm55ZPdnK2op2ugO4tuS7RqDU1hZT1PLDvEphNFAAyM8uHVG/rTNdD6Iw06M5VSwSNXdKdfhDcPLznAnoxSrnlnO5/cOpheoa0vHQj01PDaDf25beFePtuewYQ+ISR2adkwwda6flA4G44VsDollycm9GzTqqJCoaB/hDe/nijiYHY5A1qQADdtCWWUOEbC4jgz2IUQDuFUYRVHzlaiViqYFN/y7aDFu8yrK2N6BBLlb70ZLGU1Ol5ZexyAeVf2INDTusekW6KiTs+cz/aQUVxDuI8ri+8cir8Vj2v/cqyAq97ayqYTv62qfHtvkiQrbTA2LogVDyQR03jK5/r3d7A1rajN15wxOBKTCZ747qDNT8+M6RmEp0bN2Yp6DmS3vEvt+TSt0qW0sI6lOWFxkBUWSViEEOdY3bi6MrpHIL4tHDZXpzPwTbL5pN4cK09lfm3dCcpr9cSFeDafBmlPdToDdyzcy7G8SgI8NCy+c6hF22QXUq838I9Vh7ljUTKlNTp6hXqx5uHLuGtULCopqm2zbkGerHxgBEld/anRGbhtwV5WHmjb9srTV/ci1NuFMyW1Nt8acnFScWVjF+fvD+a1+XpNCUtLC2+baliKqrRUt/NcpT8jCYsQopnJZGJ1Yw+VayzYDlqVkktlfQNRfm6M7nH+URyWOpxbwVd7zDVvz1/TxyYt/i9E12Dk3sX7SM4sw8tFzee3Jza/62yrE42nWZrqfu68rAsrH0i65Hqq2JqPmzMLbhvClP5hNBhNPPp1Ch9tOd3q63m5OPHidX0BWLAjw6J2963RVPT+Y2pem+cnNRXephfXUFF78U7y3q5O+LiZtz1zyuxfeCsJixCi2aGcCs6U1OLqpOKKXi2bz2MymZpfdGcPi7ba6R2j0cQ/Vh3GZDLX0gyNbd+eIwajice+TmHzySJcnVQsuG0IvcOs0z5h+f4cpr67jZMF1QR4aFh0eyJ/v7q3zZrOXeo0ahVvzRjAHZd1AeDFH4/zn3UnWt0IbmzPIG4cHIHJBH/91rZbQyO7B+LloqawStvm2Um+7s5E+JpXB4/ktWwadLiP+etzy1rWIdeWJGERQjRrKra9sndwi0+/7M8q42heJRq1khsGW683yvIDuezPKsfdWcVTk3pZ7botYTKZeGbVYdak5uGkUvDRnEHNjbfaol5v4KkVqcz75iD1evPgxp8fHWnVVSnx55RKBc9c3Zu/NfZUeXvjKf7vp+OtTlqentybEC/bbw05q5VM6GPuNP3DobZvC/VpTLqPnm3ZOJvmhKWFLf1tSRIWIQRgXlFo6qppyemgz7adAWDagHB83FpW83IxFXV6/u+nYwA8fHl3gr1crHLdlnrrlzS+2p2FQgFvzUxgZPe2JxTZpbXc8MHO5us+cnl3Ft6WaPVZS+LC7h3dleem9Abgwy3pPP/90VYlLd6uTrw0/betodSclq1YtEbTttBPh/NoMLStr0yfMG/AgoTFV1ZYhBAOZld6CUVVWnzcnFr8Ap1dWstPh83v+m5vXG63hjc3nKS4WkdsoDu3jbDedVviy92ZvNnY/v+fU+OZZOHgxz/z6/FCrn57G6m5Ffi4ObFg7hAeu7KHFNbaydwRXXjx2r4oFLBwx5lWJy1jewYxdUAYJhM8vTK1zTUm5zOiWwC+bk4UV+vYk9G2baHejUe7j1i4wpIjKyxCCEexKsV8emJifGiLpw0v3HEGowlGdg+gZ4h1ikWP51c218Q8f00fm00+/jM/H87jmZWHAfPKTltPJRmMJl5fd4LbFu6lok5P/whvfnjosuaGYMJ+bhoaxcvT+wHmn+PWbus8PbkXni5qDuVU8FXjWAprc1IpuSrevC30fRu3hfqEmxOWU0XVLerYGyErLEIIR6JtMPDTYfMQ0pZuB1XW6/l6r/ko850jY60Sh8lk4tlVRzAYTUyMD7HKVkxL7Uov4eGlKRhNMCsxisfaOAm6sl7PnYv28t+NpwBzQfI39w63aJCksK0bB0fywrR4AN7bdJp3Nv75kN4LCfJ04a8TegLwytoTFFbVWzXGJpP7mn8v1x3Jb9NKToiXC37uzhiMJk62YC5SuI/551VqWIQQDmHTiSKq6hsI8XIhMaZlxaXf7M2mWttA9yAPRnUPsEoc3x/KY3dGKS5OSp6e3H6FtkfPVnLXomR0DUYm9AnmX9Pi2zS4MaO4hmvf3c6vJ4pwcVLy5owBvDAtXk4BOaDZw6J5urGo+7V1J/li5xmLr3Hz0Gj6hntTVd/ASz8et3KEZkNj/fB0UVNSoyOlDU3kFApFc+FtS7aFmmpYiqq0LZ5BZCuSsAghmpvFXTMgrEXHkhsMRhZsPwPAHZd1scpU5mptA/9ecxSAB8Z0a7eViOzSWm5dsIcqbQOJMX68NTOhTbUlW9OKmPrONk4X1RDq7cK39yQxLSHcihELa7trVCyPNq6oPbv6COuO5Fv0fJVSwb+vjUehgBUHctlxutjqMTqplIxt3Epcf7SwTdfqGWzevm3JCouvmxPOjf2Piqt1bbpvW0nCIsQlrrJez4ZjBQBc08IJyz8fySe3vA5/d2ervRi/vTGNgkotUX5u3DXKOltMF1NSreXWz/ZQVKUlLsSTj28djItT61ZBTCYTn27L4NbP9lBZ38DAKB9WPTiCvhHeVo5a2MIjl3dnVmIkRhM8vPQA+7MsW8XoF+HTPEPr2VVH2nya5880db1df9SyhOp/dQ82j3w4VVh90a9VKBQEeJhP/xVVtW2IZFtJwiLEJe6n1Dy0DUa6BXk0LxVfzKfbMgC4ZVh0q1/gf+9UYRWfNV7z2Sm9rXLNi6nRNnD7wr2kN84HWnR7It6urRtmqG0w8MR3h3jhh6MYTXD9oAiW3D2MIM/2PY4tWk+hUPDC1HjG9gykXm/kzkXJFs/QeXxCT3zdnEgrrGZJY32XNY3uGYhaqeB0UQ3pRRdPNs6nuwUrLEDz/C5JWIQQdrWscXT99IERLdra2ZdZxoGscpzVSm6xwmwfk8nEUysOozeYuDwuiMtb2GG3LZpa7h/MqcDXzYnP70hsda+XkmotN328m2/35aBUwDNX9+bV6/tJvUoHpFYpeeemgfSL8Ka0RsfcBXsorm75i7S3qxOPXdkDgDfWn6Si7uLt7y3h5eLEsMaOz02roq3RLci8wlJQqW1RjJKwCCHsLquklj1nSlEoYFpCy7aDPt2WDsC1A8KtMjl52f5c9mSU4uqk4vmpfdp8vYsxGk088d1BtqYVN7bcT2z1VORThVVMe287+xpnDS28LdFqNT3CPtw1aj69dQhRfm5kltRy3+J96Bpavr1zU2IU3YI8KK3R8e6vp6weX9O20IY21LF4uTgR0pignyq8+CpL0++5JcmbLUjCIsQlbPmBHAAu6xbQognE2aW1/Nx4/NkajeLKanS8+KO5o+0jV3Rvl0LbF388xsqUs6iVCt6/ZSADGifYWmrH6WKue28H2aV1RPm5sfz+EYySFvudQqCnhgW3DcFTo2bvmTKe//5Ii5+rVv12wm3B9gzOWLitdDGX9zIX3iZnllJa0/oi2KY6lpMFF99aaurGLCssQgi7MJlMLN9v3g66bmDLCmcXbLduo7j/++k4pTU6egZ7Ng+ms6WPtpzmk8ZamVeu79fqBm7fJmcz59PfimtX3J/UvMwuOoeugR68NWsACgV8uTuLr3Zntfi5Y3sGMapHIHqDiZcaR0xYS4SvG71CvTCaYPPJ1q+yNP28tqROR7aEhBB2lZxZRlZpLe7OqubhahdSXqtj6V7zH21rJBd7z5TydbK5MPHf18bjpLLtn6Nl+3J4sbFHxtOTenHdQMsHNZpMJv6z7gR//e4QDUYTV/cL5au7huEv84A6pXFxwTw+3twU7tnVhy2alvz0pF4oFbD2SAH7MtvWTv9/jeph7nu0Na31x6ej/cyrmS1ZAWoqRrd2TY6lJGER4hK1fL95O2hi31DcnC8+mXnRjkxqdQZ6hXq1ebqw3mDk6RWpAMwcEsngFjara61fjxfyxLJDANw9KrZVx6br9QYeWZrC242dax8Y25X/zkxolxNNwn7uH9OVyX1D0RtM3Lt4P/kVLetk2zPEkxsHRwLwys8nWj0V+s+MauwAvS2tuNXXjQ5wByCrtPaiX+vVmLBU1kvCIoRoZ/V6Az8cNM8kacl2UK2ugYU7zFsp943p2uai0k+3ZXCyoBo/d2eevCquTde6mH2Zpdz35T4MRhPXJoTzt1bcr7RGxy2f7Gb1QXPtyyvT+/HXCXEtarInOjaFQsGrN/QjLsST4motDy890OIeKw9f3h1nlZLdGaVsO2W9ZnKDon3RqJUUVmlJa0EvlT/TtMKSWVJ70aTHy8X8hqaqvqFV97IWSViEuAStP1pAlbaBcB9XhnXxv+jXL92TTVmtnmh/NybFX3z76EKyS2t5c8NJAJ6a1Atfd+c2Xe9CTuRXcduCvdTrjYzpGcgr1/ezOMlIL6rm2ve2k5xZhqeLmkW3J3LjkEgbRSwckZuzmvdvGYS7s4o9GaX895eWzRwK83FtPvr/6lrrrbK4OKlI7GJelWzttlCErxtKBdTpDRetTfFykRUWIYSdLGvcDro2IfyiL+C6BiOfbDUfZb57VCzqNtSamEwmnlt9hHq9kaFd/JjewmLf1sgurWXOZ7ubC2Pfu3mgxXUyezJKue79HWSW1BLh68ry+5IY0c06c5NEx9IlwJ0Xr+sLwNu/nmJ7C1dM7h/bFTdnFYdyKlh7pPW9U/7XyMb5XdvSilr1fGe1kjAf88nAMyUX3hZq2hKqqm+w6taWpSRhEeISU1hZz5aT5j9yLdkOWpWSy9mKegI9NUxvRaHq7/1wKI9fjhfipGqavWKbLZXiai1zPttDQaWWHsEefDZ3SIvqdH7v+4NnueWT3ZTX6ukf6cOK+0c0dwgVl6apA8KZOSQSkwkeWZrSosnMAR4abh9hLlJ/ff2JNk1a/r2mSea70ktbPZQwonGw4dmLTGL2bNwSMhhN1OjsNwBREhYhLjGrUs5iNEFClA+xF2mYZjSa+GDzacB8MqgtBaalNTqeW23uZ/HA2G50C7LNi3+1toHbFuwlo7Hl/ue3D8XHreXbTiaTifc3neahJQfQGYyM7x3M0ruGWaVJnuj4np3Sh57B5nqWv3xzsEUrDneNisXLRc3JgurmPkZtFRfiSYCHhjq9gQNZ5a26RlPvpfzKCyderr/7va+ThEUI0R5MJlPz0eSWrJasO1rA6aIaPF3U3Dw0qk33/uf3Ryhp7Lly/5hubbrW+WgbDNz9eTKpuRX4uTvzxR2JhHi3vOV+g8HI0ysP8/LP5uPPt42I4f1bBuHqLCeBhJmrs4p3bkpAo1ayNa2YxbsyL/ocb1cn5jausrzz6ymrbKsoFAqGxprrWCw5bv17Tb8bFzv5pFAomic2620w1LGlJGER4hKSnFnG6aIaXJ1UTB1w4Vb85pUG8xHeOcOj8XRp3WBAgI3HC1iZchalwtywzVlt/T89BqOJR5emsON0Ce7OKhbeNuSiK0i/V61t4I5FyXy1OwuFAv5xdW+endIHlZwEEv+je7Anf5toPm324o/HW9R87bakGNycVRzLq+TXE61v+PZ7g6N9AfPvdWuEtjBhAZp/ZyVhEUK0iyV7zKsrV/cLvWgCsvN0CQdzKtColdw2ovWN4qrq9Ty1/DAAd46MpX8rW+FfiMlk4plVh/npcD7OKiUfzRlMv4iW36egsp4bP9jJ5pNFuDgp+eCWQVYZPSA6r1uHx5DU1Z86vYG/fJNy0aPOvu7OzSeG3t5onVWWwdHmFZb9mWUYW1Eb0zTwM+8iW0IATipz4m7JXCVrk4RFiEtERZ2eH1PNvVdmtWB7593G1ZWZQyKbZ4m0xv/9dJz8ynpi/N147Ioerb7Ohby+/mTzysibMwdYdJLneH4l097dztG8SgI8nFl69/AWdf69VBmMJmq0DRRXaymsqqe4WktJtXnqb0v7k3QGSqWCV2/oj6dGzf6scj7ckn7R59w5sgvOaiUHssrZebqkzTH0CvXEzVlFZX1Dq/qxNCUsRS1KWMzpgs6O/40tK5sXQnRYq1Jyqdcb6RnsScJFVjl2p5ew/VQJTipFq7rCNtl5uoQvG2ewvHRdP5vUgizYntHcffaFqfFM6hva4uduSyvmvsX7qNI2EBvozqLbEon0s/0ARkdkMpk4W1FPRlENOWW15JTVkVNWS1G1lpJqHaU1Osrr9Bd9h61RK/F0UePvriHIS0Ogp4YIXze6BrrTNdCDLgHuuGs6x0tPuI8rz13Th798e5C3NqQxoU/IBWdKBXm6MHNIJJ/vzOT9zadJauMRebVKyYBIH3acLiE5s9Ti+V5+jcXoZbUX76/i1FzDYr9jzZ3jp0YIcUEmk6l5eNvMxMiLHid+o7Gx242DI1s9QblOZ2D+cnM7/JuGRjG868Ub1FlqVUouz39/FIB5V/ZoXnJviW+Ss3lqeSoNRhOJXfz4aPYgi04TdWT1egOHcys4llfJ8fwqTuRXcaKgyuJOpgoF/O/OhrbBiLZaR3G1jhMFVX/6vFBvF/qEeTEw2peBUb70j/DpsIXN1w0M5/tDZ9l0ooinlqey9O5hF+xtdNfIWBbvymRrWjEnC6ro0caj8oOjfdlxuoR9Z8q4eWjLf/4BvN3M28J1egP1esMFTwE2bWHZs6RLEhYhLgEHcyo4nl+Fs1rJtQkX7r2y43Qxu9JLcVYpeWBs60/zvLbuBGdKagn1dmH+ROu33193JJ953xwEYG5SDA+Na1msJpOJN9af5L+NqzJTB4TxyvX90Kg75gtmS5TW6NiXWUbymVL2niklNbfiT98pq5UKYgLcifR1JcLXjXBfV4I8Nfi5OxPgocHb1Ql3jRpXJxUatbL5hdlkMqE3mLeKqrUNVNU3bRmZt42ySmpJL6rhdFE1JTU68irqyauoZ8Mxc/GpSqmgT5gXo7oHMjYuiAGRPh2m2FmhUPDC1HjGv7GFPY0DPWclnn/LNdLPjSt7B7P2SAELtmfw0nX92nT/gY2FtynZ5RY/11OjRqkAo8m8ZXyhhKWhsUbGnv9dJGER4hKwtLHYdlJ8yAVXEZpezAFmJUY2d8K01I5TxXy6zTx76MVr+7bphNGf2XKyiAe/OtA8H+gfV/duURM6XYORvy07xPIDuQA8OLYbfxnfw2YN7OxFbzCSfKaMTScL2XyiiOP5f1zpCPTU0Dfcm54hnsSFeNIzxJPYAI9WneBSKBQ4qxU4q50vOmqhvFbHqcJqUrLL2Z9Vxr7MMgoqtRzKqeBQTgXv/HoKP3dnRvcIZEKfYMbGBTl8Mhnp58ZfxvfgX2uO8eKPx7g8Loggr/Mfp7/jsljWHilg+f5c/johDr82jKfoE+YNQEZJDbW6BosaJCqVCnzcnM3bfbX65pqWP9OUsNh6qvqFWD1heemll1i+fDnHjx/H1dWVpKQkXn75ZXr27Hne52zatImxY8f+4ePHjh0jLs62g9GE6OyqtQ2sPngW4ILv/AC2nyph75kynNVK7m/l6kpFnZ7HvzWvfNw0NIqxcUGtus757E4v4e4vktEZjEyMD+HVFs4HqqjVc8/iZHall6JSKvj3tHhmXuR/j46kuFrLhqMFbDpRxLZTxVRrz93e6RbkwZAYXwZH+zEkxo9IP1e7JGo+bs4MjvFrntDdVDuz63QJG08UsuVkEaU1OlYcyGXFgVy8XNRM7hfGtQnhDI72ddiBk3OTYliVcpbU3Ar+teYY/52VcN6vHRLjS3y4F4dzK1myJ6tNK5mBnuY6oaIqLcfzqxgY5WvR8z1d1JTW6Ki6yJygpuPM6s60wrJ582YeeOABhgwZQkNDA08//TTjx4/n6NGjuLu7X/C5J06cwMvLq/nfgYFtG2EvhDC3mK/VGYgNdG8emPZnTCYTr68/AcAtQ6Mv+G7rQp5bfYSzFeZTQU9P6tWqa5xPSnY5dyxKbh5m+NbMhBbNNsoureW2hXs5VViNh0bNuzcPZHSPjv/3pbhay9oj+aw5lMeu9BJ+f7K1aZViTM9ALusWgH8bTnrZkkKhINzHlemDIpg+KAK9wci+zDJ+OVbA9wfzyK+sZ8meLJbsySLKz405w6O5YXAk3q7WXbVrK7VKyYvX9uWad7ex+uBZZg+PZkjMn/++KRQKbh/RhXnfHOSLnZnc08YZXb1CvSiqKuJYXqXFCYtL4+qV9iLF1A2NW4hqZSdaYfn555/P+feCBQsICgpi3759jBo16oLPDQoKwsfHx9ohCXHJMplMzZ04Zw65cLHt5pNF7M8qx8VJyb1jWncy6IdDZ1lxIBelAl6fMcCqp0GO5VVy62d7qNY2MDzWnw9uGdSi7YtDOeXcvjCZ4motIV4ufDZ3CL3DvC76PEdVUadnzaE8fjh09g9JSt9wby7vFcTYnkH0Dfd22NWIC3FSKRkW68+wWH/+NrEXu9NLWH4gl58P55NVWsu/1hzjP+tOct3AcG4bEWOzEQ+t0TfCm5lDIlmyJ5tnVx3h+4cuO2/Nx+R+obzww1HyK+vZfLKIy3sFt/q+vUI92XLSnLBYSuNk/h260Dwig9FEnd78eTeN/bbnbF7DUlFRAYCf3/nf2TVJSEigvr6e3r178/e///1Pt4maaLVatNrfRmJXVlr+H0qIzi45s4wjZytxcVJy4+DI837d72tX5gyPIcjT8tWV/Ip6nl5hbhD34NhuFr/Tu5DTRdXM/nQ3FXV6Bkb58Mmtg1s012jD0QIeWnKAOr2BuBBPFtw2pHl+SkdiMJrYmlbEd/tyWHe04Jyjxf0ivJnUN5RJ8aFE+XeuI9kqpYKkbgEkdQvgn1P7sCrlLAu3n+FEQRVf7s7iy91ZTOobwkPjutMr1DGS0MfH9+SHQ3kczavk673Z3HSenkcatYrpAyP4ZFsGS/Zktylh6d34vR/L+/NTWRfStMJSrz//Cktl3W/bRfZc2bJpwmIymZg3bx6XXXYZ8fHx5/260NBQPvroIwYNGoRWq+WLL77g8ssvZ9OmTeddlXnppZd4/vnnbRW6EJ3Cwu1nALg2IfyCxba/HCvkYE4Fbs4q7mlF3xWTycRfvztIRZ2evuHePHR599aG/Aeni6qZ9dEuiqt19AnzYsFtiS1aufl85xmeW30EowlG9Qjk3ZsSrF78a2uni6r5JjmbFftzKaz67Q1az2BPpiWEM7lv50tSzsfNWc2sxChmDolkZ3oJC7afYf3RAn5MzefH1Hwm9Anm0St62D1x8ffQMO/KHjz//VFeW3eCKf3P31V6ZmIkn2zL4NcThRRU1rd6G7ap/0raeY6RX0jTKuWFVlgqGhMWd2dV5yq6/b0HH3yQQ4cOsW3btgt+Xc+ePc8pyh0+fDjZ2dm89tpr501Y5s+fz7x585r/XVlZSWTk+d9BCnGpOVtex89HzJNhb02KOe/XNRiMzcP+5ibFtKrW4YvGvhIatZI3Zgyw2h+1pmSlsEpLz2BPPr898aLv8IxGEy/9dIyPt5pPKc0cEskL0+Lt+ofWEnqDkfVHC1i8K5Mdv+uG6uvmxNQB4Vw/KII+YV6d7mRTSykUCpK6BpDUNYAT+VX8d2MaP6bmsfZIAeuOFnD9wAgen9Cz1S/+1nDLsGi+2JVJelENH29JZ974Pz900i3Ik8HRviRnlvFtcjYPjmtdoh/Z2Cupsr6Bijq9RasgJpr6q5z/56kpYbF33ZDNEpaHHnqI1atXs2XLFiIiLj4V9n8NGzaMxYsXn/fzGo0GjcYxi8iEcASLd2ViMJoYHutPXMj533V+ty+HtMJqfN2cuHdMV4vvcyyvkn+tOQbAU5N6XbDTpyVOFVYz6+NdFFVpiQvx5Ms7h140marTGfjLtyn8mGpO1P46oSf3j+naIV7c8yrqWLInm6V7sppXU5QKGNsziBsGRzIuLsgmQyM7sp4hnrx700DSCqp485c01hzK49t9OfxwKI+7R8Vy7+iudmlI56RS8tfxPbnvy/18si2D2cNjCPT885/dGUMiSc4sY8WBXB4Y261VP6vuGjX+7s6U1OjILq3FO9y7xc81tKC/SmmtDgBvOzdWtPpPv8lk4sEHH2T58uVs3LiRLl1aN0DswIEDhIa2vMW2EOI39XpD86DDuSNizvt1tboGXm+sXXloXHe8LNwyqdE28MBX+9E1GBkXF8RsCzrNXsipwiqLk5Wz5XXc8OEOfkw1D0B8a+aAVr8AtBeTycS2tGLu/WIfl738K//9JY3CKi0BHs48OLYbW58cx6dzh3BVfIgkKxfQPdicuCy/P4mBUT7U6Q289UsaV76x2WqTkS11VXwI/SN9qNUZeHtj2gW/zlmt5HRRTatqUJpENI6UyCmrteh5zQnLBX5PcsvqAAj3sd+qFdhgheWBBx7gq6++YtWqVXh6epKfb36n4+3tjaurudht/vz55Obm8vnnnwPw5ptvEhMTQ58+fdDpdCxevJhly5axbNkya4cnxCVhdcpZymr1hPu4csUFivk+3ZpBYZWWKD83i9rag/nF9u8rD5NeVEOIlwuv3dDfKqdS0gqqmPXxboqrtfQK9eLLO4detLFW8plS7l28j+JqHX7uznxwy6ALHuG2t3q9gVUpuXy6LYOTBb8NrUvs4sfsYdFM6CMJSmsMjPJl2X1J/Jiaz7/XHCWnrI7bFuxlct/Q/2/vzuOiKvc/gH9mZx822VdRUQEXwAVySS3RXLNcWlzq2tVMS61rtvwyvbfU6qa33HKJFiu11LK0FAtwQ0VABUEWQZaRfR0YmPX5/XFmRpYZmEGWGXverxcvhjPnDOfwMGe+5znf5/tgw4zB7RZz62osFgtvTgnEs/uu4PsrBfjnuL46p7mwteBhYqAL/rhVgl9v3uv0CDZvB0vcKKxBYVWjUdtpKh6318NSpA5YOjtNR1fp8oBl9+7dAIBHH320xfLo6GgsWbIEAFBcXIyCggLtczKZDG+88QZEIhEsLS0RFBSEkydP4oknnujq3aOohx4hBNGX7gIAFkf66j0RlYul2BN/BwBz68TYD8gfk4pwPEUEDpuFz58d/kDVOjWySsV4tlmw8v3SUR1WTj10tQD/90sa5EqCQe522LcorNdPrPpU1Etx8HI+vk3IR2UD081uzefgqTAvPD/a94HnlaGYQGHaEHc8GtgH22KyEH3pLk6mFuPinQp8+GSIUZNjPigm18YJl+5UYu+5XGyapXvwyYyhHkzAcuMe1kUFdqpXUPM/L6oxLmDRFIyzsdAfDmhe08uhd0fYdXnAQlrPhKXDV1991eLndevWYd26dV29KxT1t3QlrwoZxXWw5HEwP1x/JddPTmeiQabEUC8hphl5Er9dUof3fmGGMK99fIDeAlnGuF5YgyXRV1EjkWOwumelvWBFrlThg5MZ+EodnD0R4oZP5g41qjR5T8kqFePA+Twcvy7SDkn2tLfEkkg/zB/pbfStOKpj1gIu3p0+GE+GeuLNozeRJqrDiu+SMWe4J96fFdRjf/OVE/vh0p1KHEosxMoJ/XT28kwa5AIrPgdF1Y1IE9UhxMvwHBQNZxvmvVKlDoQNVdvIVERuL6G2oLIBwEMYsFAU1bt2xzG9JnNCPbWzsbZ2o7AGR5IKAQDvzQgy6lZOrUSOZd8moUmuwtj+znh5vPGJuq1dyqnAS99cQ4NMiWHe9vjqhRHtDsOubpDhle+TtaNo1j4+AKsmmla+CiEECbmV+CI+F/FZ5drlQ73t8dJYf0wJcnug6qaUYYI8hDj28iP47M9s7IrLwbEUEa7kVWHb/GE9ctswoq8TQn3skVxQg/0X8vC2jurPFjwOxvRzxpn0UsRllnUqYNG8X6olhgcshBBtjRV9AYtCqdLORdXbPYD03UJRD5E0US3is8rBZgHLxukOJFQqgvd/vQVCgDnDPRHma3iBN5WKYPXhFORXSuDlYInPFgx/4LyVM7dKsOSrRDTIlHiknxO+Wzqq3WAls0SMmTsv4NKdSljxOdjzfBhendTfZIIVpYrgj7RizN55Ec/uu6Jtj6nBbjj6cgR+XhGJ6UM8aLDSg/hcNt6ICsSRZRHwcbSCqKYRz+y7jP3ncw26K/AgWCwWVqpnEv/hSgEaWs3xpKGZc6uzScIO6ouTGkn7cwI1J5YqIFPPEeSg5z2XV9EAqUIFKz4Hfk7tT6/T3WgPC0U9RHbF5QAAZg710FtQ7HiKCCkFNbDic/DmVOMmF93+ZzZiM8sh4LKx5/mwDvNLOnIsuQj/+ukmlCqCqCBXfPbM8HZn5v3lughvHUuFRKaEt6Ml9i0Kb3fIdk+SKpQ4nizC3nO5yK1gutAFXKbC8Etj+/5tCryZsnA/R5x6bSzePZ6Kn6/fw39OZuB6YQ22PjWkS6eRaO3RAS7wd7ZGXkUDjiUXYWGEX9t1Apm5rVIKa1DVIDM6J8ySp5kTSH8BuNYKq5gRRY7WfL3Hf+seU0V+kLtdr0/1QAMWinpI3Cmvx+9pzKi8lx/VPftrbaMcW9RF4lZN7G9Uca0zt0rw2Z/M8MzNc0IQbEStB12+upiH939NBwA8FeqFrU+F6O11kCqU+M9vGfhWPS9SZIATdjwb2iWJvg9K3CTH91cKcOBCnrZ+ip0FF4si/LDkET84m+ikg39XNgIuts0fhuE+Dvj3b+n47WYxskrF2LcoHL7d1IPAZrOwKMIXG39Nx9cJ+Xh+tG+bHkF3oSUCXW2RWSrGldxKTDUyr4ynTpqXdTCJYXOa0T/e7eSmJBdUA2DmqeptNGChqIfEnrg7IAR4bJCrtlR3ax/9cRvlYin6OlvjxTF+Br92mqgWrx26DoCphjsn1PhikBqtK9G+8Igf/m/aYL1Xb0XVErzyfQpuFNYAAF6ZEIC1jwe2OwyzJ5SLpYi+mIdvL+dD3MR087vZWWDpWH8sGOkDm268YqceDIvFwuJIPwR52GHFd8nIKq3HnF2XcGDJCAzztu+W3/l0mBc+OZ2JnLJ6XMmrwui+Tm3WCfdzQGapGMkF1cYHLOpgXzNM2RD52mRa/b1/F7IrAAARAW33t6fRdxRFPQRENY04niICAKyYoDt3JSm/Gt9dYcoJfPBkSLu3XporqW3C0q+voVGuxNj+znh3WtukQUM1ypRYc/i6dsqANyYPaLe4W1xmGVYfvo4aCVNufNv8oZg4sPOTxHWF/MoG7D2Xix+TirRXswF9rLFsfABmD/Ok9VPMSLifI35bNQYvfp2INFEdFuxNwI5nQvHY4K7/H7O14GHaEHccuVaE48kinQFLmK8DvrtSgKT8aqNfX67ORTHm/y9NpLndo/sCR1TTiNyKBrBZNGChKKqL7DuXC4W6DL+uWZLlShXePpYKAJgb5mXwyUciU2DpN4koqWtCPxcb7Hg2tNPJouViKZZ+cw03CmvA57Dx8dwhmDXMU+e6cqUK289mYZe612iIlxA7nw2Ft2Pv5YGkFtXii3N3cCq1GOrioBjuY4/l4wPw+CDXXr+/T3WOi50FDv8zAiu+S0Z8Vjn++e01bJ4Tgvkj9JcE6Kwnh3vhyLUinEotxsZZQW1mHNe8d9NEdZApVEYFH1L1bMsCYwKWe7UAoPf2buxtJgF4qLe9SQy9pwELRZm5omoJvlf3nGhGI7T2RfwdZJaK4WjN1zmsUheFUoVXf0hBmqgOjtZ8fLl4RKcnP8spE2NJdCKKqhthb8XD3oXheoeU5lc24NVD17W3gJ4f7YP/mz7Y4B6hrkQIwfnsCnxx7g4u5tyfiPDRwD54eXwARvo7mszoJKrzrAVc7F8cjnePp+HwtUK8eTQVciUxuvpzR0b5O8LT3hKimkbEZZZhSnDL2z6+Tlaw5nPQIFOioEpi1Lxc9erRR1YGzp1U3SBDnjo5XF/AcuL6PQDAlCA3g/ejO9GAhaLM3LaYbMiUKkQGOCFSR89J+r06/E+dLPve9MEGjewhhODt46k4m1EGAZeNvQvDOj3K5VxWOVZ+n4y6JgV8nawQvWQE+vZpeyImhOBosggbfklDg0wJOwsuNs8ZgmlDen5OMYVShZOpxdgTn4uMYqbbnMNmYcYQd/xzXECny6dTpovHYWPLUyGwteBi/4U8vPtzGpQq0u5M58Zis1mYHOSK6It38dfttgELi8WCfx9rpInqkFteb1TAUi5uAgC9kyy2diGnAoQAA1xtdCaGF1VLcPVuFVgsYOYwD4P3ozvRgIWizFhmiRjHUooAAOumDGxztS9VKLH2yHXIlQSTB7tiloEnno9OZ+LItSKwWcCOZ0MR3olKtioVwe74O/jkTCYIYe7P71sUrnNkT22jHO/+nIZfbzBXdCP9HbFt/jB42vdsZU2JTIEjiYXYdz5PW47cis/BghE+eHGMn8mW/Ke6BovFwjvTBoHDZuGLc7nYcOIW+Fw2nhnZdbeHJg50QfTFu4jNLAchpM171t/ZhglY1L0fhiqpYwIWF1vDRv6dUxczHNe/j87nf7zGnFdG+TvCXdi7FW41aMBCUWZMEwxMDXbTObrhsz+zcbuEuRX04ZwQg25f7D+fq62Wu3lOCB7vRAKiuEmO14/cwJn0UgDAghHeeH9m23v2AHAxpwLrfroJUU0jOGwW1j4+AMvHB/ToKKDKeim+TsjHNwl3tYW3nKz5WBLph4URvu0WsqMeLiwWC+unDgRYwBfxuXjneCqcbQSdeh/oMtLfEVZ8DsrFUmSV1rcZ0echZAKOCvUQeUPdKWMCHD/njodmSxVK7XtTU7CuuUaZEt8k3AWALr8t9iBowEJRZiopvwox6aVgs4DXJwe2ef5KbqU28PjwyWCD6oFEX8zDf05mAGAmROxM4mF2qRjLvk1CbkUD+Bw2Ns4K0nmFKm6S48NTt/HDVSb/xsfRCv9bwNTH6Cn5lQ3Yfz4PR64VQqoe8ePrZIWXxvbF02FeOgMs6uHHYrGwfspAVDfIcORaEVZ+n4zvXxptVFVofQRcDoZ4CXE5two3CmvaBCx26jwxzVB5Q2WWasrnd3wb6a+MMtQ2yuFmZ6FztNKRa4Wolsjh7WhpMvkrAA1YKMosEUKw+RRTAG5umHebe92V9VK8eigFKsIUZWt9r1yXbxLuYqO6kNsrEwKw4lHj5wg6ceMe1h+9CYlMCXehBXY/H6az5ycuswxvHUtFcS3Tjb0owhdvThnYrdVGm0suqMaBC3n4vdmInyFeQiwfH4CoILder/FC9T4Wi4UPnwxBZb0Mf94uw/KDSTi5aozOyQuNNdTLnglYimowb4R3i+ds1bMm1zUZXmK/XCzVJtAGeXRc4O179UXC7OGebf7X65rk+PwvJuftpbF9TWoKCRqwUJQZOposwrX8aljyOFj9eP8Wz6lUBK//eAOldVIE9LHGpllBHb7eNwl38d4vtwAAy8cH4I3Jxk1xL26SY8OJWziWzNSCGd3XETueDW3Tq1MrkePfJ9PxUxJzf9zXyQpbnxqi8yqvq8kUKpxKLUb0pbvaEUgAM+Jn2bgAjO5LR/xQLXE5bHz+7HA8ufMSMkvFeEXd08J7wA/xQe5M0nZueds8FaU6gjYmaE7IrdS+bkfVn28U1uB8dgU4bBaeG9W253PHXzmoqJehr7M1FnTD0O4HQQMWijIztRI5Np9ibtu8Oql/m4S43fF3EKee72fHs6Ht9loQQrAzNgefnMkCACwb1xdvTjEuWEnKr8bqwykorGoEmwW8MqEfXpvUv8WVmUpFcDS5CFt+v43KBhlYLOCFSH+8ETUAVvzuPQ2Vi6X4/koBDl7JR7k6L4DPYWPGUA8sHeuv/fCgKF2s+Fzsfj4Us3ZcROLdamw/m4V/RRk3B1dr7uo8FU2ibHMSmVL9ew2/Hfl7ajEAYNwA5w7X3X6Wea/PGubRpq7RjcIafHmBqUD9f9MHm1wRRBqwUJSZ+eRMJiobZOjnYoN/jPFv8dyfGaX45EwmAOD9mUHtfhgTQvDByQzsV5+gXp3YD2seH2BwsKJQqvD5XznYEZsDpYrA094S2xcMw4hWI4pu3avFe7/c0lbvDOhjja1PDenUyCNjpBbVIvpSHn67UaydkdbFVoCFo33xzCgfOscPZbC+fWyw9ekhWPFdMvbE52JqsPsDzaWlGXpcriOxtqpBBoCpjGuIGglzywoAZg3VXYhR42x6KWIzy8HjsLByQsuaTQ1SBVYfvg6FiuCJEDedybi9jQYsFGVGUotqcfAKMwHgpllBLa6AcsrEeO3QdRACPDfKp92hmFKFEuuPpmrL+b87bRCWju1r8H6k36vDW8du4kYRUylz9jAPbJod3KIaZm2jHNtisvBNwl2oCHPF+Nqk/njhEf9uu3Jrkitx+lYJvk3Ix7Vm5c2H+9hjSaQfpga7m9xVI2UenghxxxMhbjiVWoL1x27ixCtjOl3dWHO7h5C28/5kqZNnDa3B8m1CPmQKFQa72+ktsQ8wPbMbTjC3fZeO7duiFpJKRfCvn24gr6IB7kILbH5yiMHH0pNowEJRZkKqUGLd0ZsghOnOjQy43/1bLpbiH19fQ71UgZF+jtgwQ3/eSlWDDMu+vYbEu9XgsFnYPCcE88K99a7fXKNMif/9mY1953OhVBHYWnDxn9nBLUrsyxQqfHclH5//laO9Wpw+xB3vTBvUbfUccsrE+OFqIY4mF2mHJfM4LEwLcceSR/y7bUI76u9l48xgnM+uQJqoDidTizFjaOcKqmnm/Wkd8ChVBOn3mEKFA1z1Bx8aNRIZDlxkekiXje+rt3eUECYgEdU0wtfJqk3vyubfM3AqtQR8Dhv/WzAcQqveL8OvCw1YKMpMbIvJRkYxUyb/nWYTENZLFXjxq0TkV0rg5WCJXc+H6u1FyC4V4x9fX0NBlQS2Flzsei4UY/UUjmrtXFY53vk5FYVVTEG1J0LcsGFGEFzVoyZUKoJfb97DJ2cyteswSb/BeKRfx/fWjdUkV+JUajF+uFqAxLv3e1PchRaYF+6N50b5dMmIDorS6GMrwNIxfbHtbBa2n83CtBD3TvWyiGqY3BWPVgF8SkE1KhtksLXgIsSAW04fnc5EjUSOgW62mNbO7M6fnMnEmfRS8Dls7GyW10YIwcenM7Uzp388d4jeKTNMAQ1YKMoMXMmtxBfn7hdz01SzlCqUePlgElJFtXC05uObF0fqzc345boI64+molGuhLejJb5cPAL9DbiKK6yS4KPTmdoqtO5CC2yaFawtpEUIwYWcCmz947Z29tc+tgKseWwA5oV7demwSEIIbhTV4nhyEY6niFCnrlXBYbMwcaALnhnpjfEDXOiwZKrbvDDGD/vP5+JOeQMS71ZhVCdGuGmme/Bzbpn0ejSZGT03aaBLh7cuY9JLtXOIbZgRpPd9tu9cLnbGMueOf88O0ubeKJQqbPw1Hd9eZm4xvzttkN7JSE0FDVgoysTVNcmx9sgNEALMC/dClLqQk1ShxPJvk3A+uwKWPA6+1DNHT5NciQ9PZeCbBObE9Eg/J3y2YDicOkg6rW2UY1dsDqIv3oVMqQKLBSyJ9MPrkwNhI+CCEILYzDLs+CsHyQU1AAAbARfLx/fFi2P8u3T0T0GlBD9fF+HnFFGLkuWe9pZYMMIbc8O94SakvSlU97Oz4GFqiBuOXCvC72klnQpY/sxgqsw273ksqpZoh/s/10F12fR7dVhz+DoAYOkYf52zrxNC8GlMFj7/KwcAsPbxAdpCkJX1UrzyfTIu5zJzBf17VrBJVbTVhwYsFGXClCqC1YeuQ1TTCG9HS7ynzk1pkiux4rtkxGaWw4LHxv7F4TrzNDQnNk0VzFUT+2H1YwPa7YGQK1X47nI+/vdnNqrV+SCRAU54+4lBCPYUQqki+O3mPeyMvaO9UuRz2Xh2pA9WTezXYSBkqOoGGU6mFuN4ikg7wggALHhsRAW5YU6oF8b2c+504iNFddbY/n1w5FoRkguqO165lTRRLRLvVoPNAiYNYnopVSqCt4+nQa4keKSfU5uRds3dLqnD4uirTL6avyP+NaVtleu6Jjn+9eMNnL7FBEb/igrUFoI8m16Kt46nolwshTWfg//OG2pQYUlTQAMWijJh/z2Tib9uMzMm73w2FDYCLmob5fjnN9dwJa8KFjw2Diwe0SZHRKFUYd/5PGyLyYJMqYKzDR8fPz203aGKUoUSP14rwu64O9qJ//q52ODtJwZiQqALJDIlvr2cj+iLedqCV1Z8Dp4f7YulY/y7JF+kol6KmPRS/JFWgkt3KiBXMqMo2CzmanT2ME9EBbvBpocq4lKULv7q+Xo0lZoNpVIRfKiuoTRtiId2cs+dsTk4l8XUTnq/nYT52NtlWH34OmobmbyVfQvDIeC2rNdyMacC64/dRGFVI/gcNjbNCsKCkT64V9OIzb/f1t7a7edig93PhRp0W9hU0Hc9RZmoEzfuYZd6LqCtTw3BEC973KtpxItfJeJ2iRg2Ai72LQpv0x18vbAGbx1L1fZ+PDbIFVueCtGb29IoU+L7qwXYe+4OSuuYuhDONnysfmwAFozwRkGVBJt+S8dP14ogljI5I3YWXCx5xB8vRPrBoYPKmh25V9OI07dK8EdaCRLvVmlL5QPAYHc7PDncEzOHeWiTeymqt2lGIxvbt7cjNgeX7lTCgsfG2scHgBCC/efz8N8YppjbezMG6wwgpAoltsVkY088cz4I9bFH9JKRLUbzFFZJ8GlMlrZUgae9JXY+FwpvB0t8fPo2DlzIQ5NcBTYLeGlcX6x5bIDZzZVFAxaKMkFxmWV4/ch1AEz12dnDPXExpwKrfkhBVYMMfWwF+OqFES3mDSmra8K2s9k4lFgAQgChJQ/vTBuEuWFeOoc7ltQ24YerBTh4OR+V6uHH7kILLBvXF0+GeuFSTgVe/Pqadhp6gLmyfH60L+aFexlc2Ko1lYog7V4t4jPLcfZ2WYsy+QAQ4inElGA3RAW5GVyLgqJ6UlJ+FQDDZkYGmHySPfG5+FQTmEwPgrvQAut+uokf1Xkrr03qj+dGtc0jib1dho2/3sLdSgkAYHGEL96eNkjbs1JW14RdcXfw3ZV8bY/kwtG+eHaUD364WoAj1wrRJGeGUY/0d8R70wc/UNG73kQDFooyMZdyKrDs2yTIlUzFyX9FBWJXXA4+OZ0JFQGCPOyw5/kwbVnteqkCe+PvYN/5PDTKmbLec4Z74u1pg9r0qhBCkJBbiYOX83H6Vql23hJvR0u8PL4f/J2t8dvNexi79S/tCBwWC5gY6IJFkX6dzhmpqJfifHY54jPLcS67QlufRfP64b4OiApyw5RgN3g5WLXzShTVu8RNcu0w4CgDZjKubpDhvRO3tLdiXp3UHx72Fojafg75lRKwWcC6KQOxbNz9wo2EEJzLrsCu2BxcyWOCoz62AmyaGYSpIe4ghODa3Sp8nZCP31OLoVC/j8N9HTDcxx7ZZfWY9tl5bW/lUC8hVkzoh8mDXc16viwasFCUCYnNLMOKg8mQKlR4bJALXp8ciEVfXsWlO8zkZnPDvPDv2cGw4HEgbpLj0NVC7Im/o+0hGe5jj7efGNQmaU9U04hfrotwLFmEnLJ67fKRfo4Y5mMPFgvYe+6O9ioOYHpbZg/3xDMjfODjZFwQUdckR9LdalzJq8LFnAqkimpbPG8j4OKRfk4YP8AFjw120Q7TpnqfSkW0Uxm0pvms47HZf8tkZ3GTHMu+TYKophEeQgs820416Sa5EkeuFWL72WxUNcjAYbMwIdAFV/Mq8dmfzGzIrnYC/HfuMIzpz+SgVTXIcOK6CIcSC3G7hEmU53FYeOERf6ya2A+ldVJsP5uF324Wt3gfA4CH0AKZJeIWFZ7HDeiD5eP7IqKvk1kHKhosoqs2sBmqq6uDUChEbW0t7OzoZGaU+fn+SgH+75c0KFUEY/o5Y0x/Z/zvbDYa5UpY8Nh4b3oQnhnpjTKxFF9ezMP3lwu0OSX+ztZYFxWIKcFu2hNTdYMMp9KK8UvKPVy9W6X9PXwuGz6OVnCxFSC/UqJNsAWYJNopwW54KtQLo/s6GVzPpKJeisS8Kly9W4WreVXIKK5rkYsCMD1D4wf0wfgBfRDq6/DAM97+3RFC0ChXokYiZ74aZahrVKBeqkCD9P535rGSeSxjljfKlJAqVJApVJAp1d/Vj5WtG04PPocNAY8NAZcDCx4bFjwOrPgcCC15sLfiw96SB3sr5nEfWwE87S3gLrSEi62gS2vz9ARCCOKyyvHeL2korGqEJY+Dw8tGY4iXfZt1i2sbcTSpCF9duouKelnbFwMThCyK8MOaxwegSa7EXxllOJNeivisMu1tHSs+B3NCPTHEyx45ZfWIzyzXjvZrj6e9JeaEemJOqJc2OdjUGfr5TQMWiuplTXIl/nMyHQcvM0Wg7K14cLDiI09db2R0X0d8+GQICqok+PFaEc6kl2hPagF9rPHPcX0xJ9QLXDYLd8ob8NftUpzNKENSfrVBHz6WPA4eDeyDqCA3PD7Ytd3ZnQFmkrT04jrcLKpFalENbhbVtqiNouHnZIWR/o4Y5e+EsQOcaS9KO5rkSlRLZKhukKNGIkOVRIZqiRy1Epk6GGGCktrG+z/XSuR6e0JMGYfNgpudBfq72mCAqy0GuNpiqJcQ/VxsTK4XoFGmxNmMUnx5MQ8p6lpDnvaW2PN8GEK87ueBFFRKEJ9djt9u3NPewtHFksfB5CBXhPk6oLBKgit5VUgV1aL1p7AVnwMfRyvcrWzQ5p+0x8fRChMHuiAqyA2j/B3NrveLBiwUZQbSRLVYe+Q6skrr2zwntOThiRA3CC35+DlF1GIq+hF+Dlg2LgBDve2ReLcKCXcqcSGnQhvkdMTBioeJA10xJdgNY/s76x0tUFEvRVapGFklYqSK6pAqqkFOWX2b3hMAGOhmi5H+jsyXn+Pfsiw+IQQNMiWqG2RMACJRByANLR/XSOTqAIVZrsk96gwumwV7Kx6ElsyXjQUPNgIOrPlcWAu4sBFovnNgrX5szedCwGODx2GDz2GDz2VDwGW+8zhs8DgssFksaJpZ8zFBwIyQUShVaFKoIJUr0SRXoUmhRJNciUaZErWN8vvBlvpxaV0T7tU0oqS2SZtv0ZqTNR9j+zsz9XX6O/da8CKqacTVvEqczShD7O0ySGRM2/C5bCwa7YtVk/pDVN2Im0U1uFFUg19vFKNe3dPZEQ+hBe4ZORRaF1sLLsJ9HRAR4ISJA10R0Mfa5II9Y9CAhaJMWHWDDJ/GZGnLYutiI+C2OBHaWXAx1Nse/V1sIVeqcCWvUmegowufw0aYrwPG9HfGuP59EORhp70KI4SgXCxFXkUDssrqkV0qZoKU0voWybHNudlZIMRLiCGeQoR4CTHM2x72Vg82vNnUqFQEdU3MB27z4KLdAEQi0/Z+GYvDZsFB3bvmYMXX9rTZW/EgtOLB3pJ5bG+p/ll928WKzzGbDyuliqCiXoqCKok2EM4oEeNGYQ2kivs9CRMC+2DvovBuvW1ICIGophGZJWJklopxu1iMpPzqFrdINbhsFvr2sTb4/daVOGwW+rvYYLC7HYZ4CTHS3wmBbrYP1fQTNGChKBNUUtuE//2ZjR+uFnTr77HmczDcxwFhvszXYA871EjkuFfTiPwqCQoqG5BfKUF+pQQFVRK9V/gsFuDtYIUBrjYY7MEEKEO8hGbXeyJXqtS5HkygwQQZsjbBiCbo0KxrYDpHGwIumwk8rPnaIMTeigdHaz7srdTLrPnq4IR5bCvgmk3g0dUkMgUOJxZi46/p2mVHX45EmK9Dp19TrlShukGGMrEUoppGiKobUVTdiMJqCbJLxS0SzE2F0JKHYE87BPSxQZCHHQa7C9Hf1cbs6qUYy9DP724bJbRr1y58/PHHKC4uRlBQELZv346xY8fqXT8+Ph5r167FrVu34OHhgXXr1mH58uXdtXsU1WNKapuw/WwWDiUWdtvv4LBZcLUVwMGaD3ehBewseSgXS3EqtRhfXsyDuKn9Lms2C/Cwt0R/FyavoL+rLQJdbRHgYt2lcwJ1lkKpQoNUiXoZk0QqbmqeUKr+alK0CDqqJXLtrZmOjr89NgKutrejeQDC/Mz0dDhqekSsmceWfA4IYUbbaJJb739nbp00SJUoqW1ETll9myTZBpkSEhmTHNuoue0iV992Ud96aVK/3oPic9lwtRPA094SXg5W2ltLzjYChKh70B5Ek1yJqgaZ9qtaIkO5WMoED1USFFYzgXPzHhZfJysMcrcFIQRShQp1TXKIm5g2FjcpUNMoQ0ltEwqrJMguq8ftErHe3kBTNMSLCfy9HKzg52SNvn2s4eNo9dAHJg+qW3pYDh8+jIULF2LXrl145JFH8MUXX2D//v1IT0+Hj0/bYWB5eXkIDg7GSy+9hGXLluHixYtYsWIFfvjhBzz11FMG/U7aw0L1FpWKQNykQGapGH/eLsXBhHw0yDqfk9BdbARcuAkt4OtoBR8n5kSp+e5pb9nh7LD6EEIgVzIfzpoPVSafgcltuP+hez/PobHVBzDzXXU/AGliRrRofjYk8ZDqHk+HMSPGNG1RUS9FcU0TiuuaUFzTiDKxtLd30aQMUCcTD/awg6e9JdyFlnAXWsDFTtCmjD7F6NVbQqNGjUJoaCh2796tXTZo0CDMnj0bmzdvbrP+m2++iRMnTiAjI0O7bPny5bhx4wYSEhIM+p00YHn4EUKgIsx9cKWKQKFSQaEkkGuuYpUqSOXMFWyTXAWJeghn82GfNRI5KuqlqKxnrvYqG6SdzjmgKOrhJbTkwcfRCl4OlureJ0t4OljBQZ0/5GjNh9CS91DlkvSWXrslJJPJkJSUhPXr17dYPnnyZFy6dEnnNgkJCZg8eXKLZVFRUThw4ADkcjl4vLYlwKVSKaTS+5F9XV1dF+x9W6dSi7Hiu+RueW2Koiiqa7jYCuCpDi487S3hbCPQ3spzthXA0YoPKwEHFjwOLLhss6sFQ3VDwFJRUQGlUglXV9cWy11dXVFSUqJzm5KSEp3rKxQKVFRUwN297dTXmzdvxsaNG7tux/U4fUv3PlMURf2dONsI4C60gLMNH47WAjjbMvk6dpY82FnwYGOhGULNgQWXCQwEXDZ4XDY4LBY4bBZ4HNbfNrGYenDdlk3X+p+SENLuP6qu9XUt13jrrbewdu1a7c91dXXw9vbu7O7qtWXOEAxwtUVF/f3eHJZ6jk7Nrmn2ML9Kgpj00i7fB8r0sVjM0GELHgc8Dgs89WM+hw0el8VUBeVywGtW70LAZWpgcNXr8zhscNkscNnMz1z1z2XiJnCb1ctoXTeDea7Za3BY6tdlttd8UHDZbHDYLLDZLO0HCFf9M5sFsNXLAOYxm8W8/1jNjpH53vY9qVQRvH0sFSFeQjwd5kWTBymK6nJdHrA4OzuDw+G06U0pKytr04ui4ebmpnN9LpcLJycnndsIBAIIBAKdz3UlSz4Hr0zo1+2/h6LMGYfNwtanh/T2blAU9RDr8pt4fD4fYWFhiImJabE8JiYGkZGROreJiIhos/6ZM2cQHh6uM3+FoiiKoqi/l27JOlq7di3279+PL7/8EhkZGVizZg0KCgq0dVXeeustLFq0SLv+8uXLkZ+fj7Vr1yIjIwNffvklDhw4gDfeeKM7do+iKIqiKDPTLTks8+fPR2VlJTZt2oTi4mIEBwfj1KlT8PX1BQAUFxejoOB+pU9/f3+cOnUKa9aswc6dO+Hh4YHPPvvM4BosFEVRFEU93GhpfoqiKIqieo2hn990IDpFURRFUSaPBiwURVEURZk8GrBQFEVRFGXyaMBCURRFUZTJowELRVEURVEmjwYsFEVRFEWZPBqwUBRFURRl8mjAQlEURVGUyaMBC0VRFEVRJq9bSvP3Bk3B3rq6ul7eE4qiKIqiDKX53O6o8P5DE7CIxWIAgLe3dy/vCUVRFEVRxhKLxRAKhXqff2jmElKpVMjMzMTgwYNRWFj4UM4nVFdXB29vb3p8Zooen3mjx2fe6PGZLkIIxGIxPDw8wGbrz1R5aHpY2Gw2PD09AQB2dnZm12DGoMdn3ujxmTd6fOaNHp9paq9nRYMm3VIURVEUZfJowEJRFEVRlMl7qAIWgUCADRs2QCAQ9PaudAt6fOaNHp95o8dn3ujxmb+HJumWoiiKoqiH10PVw0JRFEVR1MOJBiwURVEURZk8GrBQFEVRFGXyaMBCURRFUZTJM6uA5YMPPkBkZCSsrKxgb2+vc52CggLMmDED1tbWcHZ2xquvvgqZTNbu60qlUqxatQrOzs6wtrbGzJkzUVRU1A1HYJy4uDiwWCydX4mJiXq3W7JkSZv1R48e3YN7bjg/P782+7p+/fp2tyGE4P3334eHhwcsLS3x6KOP4tatWz20x4a7e/cu/vGPf8Df3x+WlpYICAjAhg0bOvx/NOX227VrF/z9/WFhYYGwsDCcP3++3fXj4+MRFhYGCwsL9O3bF3v27OmhPTXO5s2bMWLECNja2sLFxQWzZ89GZmZmu9voe3/evn27h/bacO+//36b/XRzc2t3G3NpO0D3eYTFYuGVV17Rub6pt925c+cwY8YMeHh4gMVi4eeff27xfGfPgUePHsXgwYMhEAgwePBgHD9+vJuOoHuYVcAik8kwd+5cvPzyyzqfVyqVmDZtGhoaGnDhwgUcOnQIR48exeuvv97u665evRrHjx/HoUOHcOHCBdTX12P69OlQKpXdcRgGi4yMRHFxcYuvpUuXws/PD+Hh4e1uO2XKlBbbnTp1qof22nibNm1qsa/vvvtuu+t/9NFH+PTTT7Fjxw4kJibCzc0Njz/+uHY+KVNx+/ZtqFQqfPHFF7h16xa2bduGPXv24O233+5wW1Nsv8OHD2P16tV45513kJKSgrFjx2Lq1KkoKCjQuX5eXh6eeOIJjB07FikpKXj77bfx6quv4ujRoz285x2Lj4/HK6+8gsuXLyMmJgYKhQKTJ09GQ0NDh9tmZma2aKv+/fv3wB4bLygoqMV+pqam6l3XnNoOABITE1scW0xMDABg7ty57W5nqm3X0NCAoUOHYseOHTqf78w5MCEhAfPnz8fChQtx48YNLFy4EPPmzcOVK1e66zC6HjFD0dHRRCgUtll+6tQpwmaziUgk0i774YcfiEAgILW1tTpfq6amhvB4PHLo0CHtMpFIRNhsNvnjjz+6fN8fhEwmIy4uLmTTpk3trrd48WIya9asntmpB+Tr60u2bdtm8PoqlYq4ubmRLVu2aJc1NTURoVBI9uzZ0w172LU++ugj4u/v3+46ptp+I0eOJMuXL2+xbODAgWT9+vU611+3bh0ZOHBgi2XLli0jo0eP7rZ97CplZWUEAImPj9e7TmxsLAFAqqure27HOmnDhg1k6NChBq9vzm1HCCGvvfYaCQgIICqVSufz5tR2AMjx48e1P3f2HDhv3jwyZcqUFsuioqLIggULunyfu4tZ9bB0JCEhAcHBwfDw8NAui4qKglQqRVJSks5tkpKSIJfLMXnyZO0yDw8PBAcH49KlS92+z8Y4ceIEKioqsGTJkg7XjYuLg4uLCwYMGICXXnoJZWVl3b+DnbR161Y4OTlh2LBh+OCDD9q9ZZKXl4eSkpIW7SUQCDB+/HiTay9damtr4ejo2OF6ptZ+MpkMSUlJLf7uADB58mS9f/eEhIQ260dFReHatWuQy+Xdtq9doba2FgAMaqvhw4fD3d0dkyZNQmxsbHfvWqdlZ2fDw8MD/v7+WLBgAXJzc/Wua85tJ5PJcPDgQbz44otgsVjtrmsubddcZ8+B+trUHM6bGg9VwFJSUgJXV9cWyxwcHMDn81FSUqJ3Gz6fDwcHhxbLXV1d9W7TWw4cOICoqCh4e3u3u97UqVPx3Xff4a+//sJ///tfJCYmYuLEiZBKpT20p4Z77bXXcOjQIcTGxmLlypXYvn07VqxYoXd9TZu0bmdTbK/W7ty5g88//xzLly9vdz1TbL+KigoolUqj/u663o+urq5QKBSoqKjotn19UIQQrF27FmPGjEFwcLDe9dzd3bF3714cPXoUx44dQ2BgICZNmoRz58714N4aZtSoUfjmm29w+vRp7Nu3DyUlJYiMjERlZaXO9c217QDg559/Rk1NTbsXdubUdq119hyor01N/bzZXK/P1vz+++9j48aN7a6TmJjYYc6Ghq6ImhDSYaTdFdsYqjPHXFRUhNOnT+PIkSMdvv78+fO1j4ODgxEeHg5fX1+cPHkSc+bM6fyOG8iY41uzZo122ZAhQ+Dg4ICnn35a2+uiT+u26c72aq0z7Xfv3j1MmTIFc+fOxdKlS9vdtrfbrz3G/t11ra9ruSlZuXIlbt68iQsXLrS7XmBgIAIDA7U/R0REoLCwEJ988gnGjRvX3btplKlTp2ofh4SEICIiAgEBAfj666+xdu1anduYY9sBzIXd1KlTW/S0t2ZObadPZ86BvXne7Aq9HrCsXLkSCxYsaHcdPz8/g17Lzc2tTQJRdXU15HJ5m8iy+TYymQzV1dUtelnKysoQGRlp0O81VmeOOTo6Gk5OTpg5c6bRv8/d3R2+vr7Izs42etvOeJA21YyGycnJ0RmwaEY2lJSUwN3dXbu8rKxMbxt3NWOP7969e5gwYQIiIiKwd+9eo39fT7efLs7OzuBwOG2uxtr7u7u5uelcn8vlthuM9qZVq1bhxIkTOHfuHLy8vIzefvTo0Th48GA37FnXsra2RkhIiN7/KXNsOwDIz8/H2bNncezYMaO3NZe26+w5UF+b9tR5syv0esDi7OwMZ2fnLnmtiIgIfPDBByguLtY25JkzZyAQCBAWFqZzm7CwMPB4PMTExGDevHkAgOLiYqSlpeGjjz7qkv1qzdhjJoQgOjoaixYtAo/HM/r3VVZWorCwsMU/d3d6kDZNSUkBAL376u/vDzc3N8TExGD48OEAmHvW8fHx2Lp1a+d22EjGHJ9IJMKECRMQFhaG6OhosNnG34Xt6fbThc/nIywsDDExMXjyySe1y2NiYjBr1iyd20RERODXX39tsezMmTMIDw/v1P9xdyKEYNWqVTh+/Dji4uLg7+/fqddJSUnp1XYylFQqRUZGBsaOHavzeXNqu+aio6Ph4uKCadOmGb2tubRdZ8+BERERiImJadGrfebMmW67MO8WvZTs2yn5+fkkJSWFbNy4kdjY2JCUlBSSkpJCxGIxIYQQhUJBgoODyaRJk0hycjI5e/Ys8fLyIitXrtS+RlFREQkMDCRXrlzRLlu+fDnx8vIiZ8+eJcnJyWTixIlk6NChRKFQ9Pgx6nL27FkCgKSnp+t8PjAwkBw7dowQQohYLCavv/46uXTpEsnLyyOxsbEkIiKCeHp6krq6up7c7Q5dunSJfPrppyQlJYXk5uaSw4cPEw8PDzJz5swW6zU/PkII2bJlCxEKheTYsWMkNTWVPPPMM8Td3d3kjk8kEpF+/fqRiRMnkqKiIlJcXKz9as5c2u/QoUOEx+ORAwcOkPT0dLJ69WpibW1N7t69SwghZP369WThwoXa9XNzc4mVlRVZs2YNSU9PJwcOHCA8Ho/89NNPvXUIer388stEKBSSuLi4Fu0kkUi067Q+vm3btpHjx4+TrKwskpaWRtavX08AkKNHj/bGIbTr9ddfJ3FxcSQ3N5dcvnyZTJ8+ndja2j4UbaehVCqJj48PefPNN9s8Z25tJxaLtZ9vALTnyfz8fEKIYefAhQsXthjBd/HiRcLhcMiWLVtIRkYG2bJlC+FyueTy5cs9fnydZVYBy+LFiwmANl+xsbHadfLz88m0adOIpaUlcXR0JCtXriRNTU3a5/Py8tps09jYSFauXEkcHR2JpaUlmT59OikoKOjBI2vfM888QyIjI/U+D4BER0cTQgiRSCRk8uTJpE+fPoTH4xEfHx+yePFikzoejaSkJDJq1CgiFAqJhYUFCQwMJBs2bCANDQ0t1mt+fIQww/o2bNhA3NzciEAgIOPGjSOpqak9vPcdi46O1vn/2vo6wZzab+fOncTX15fw+XwSGhr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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(20000)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [-9.8126e-06, -3.2875e-08, 1.9441e-03],\n", + " [-3.8521e-05, -2.5948e-07, 3.7804e-03],\n", + " ...,\n", + " [ 5.7814e-01, -6.2418e+00, 3.3245e-02],\n", + " [ 6.4026e-01, -6.2482e+00, 3.3545e-02],\n", + " [ 7.0243e-01, -6.2539e+00, 3.3850e-02]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-19T22:24:17.625663\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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deGpaHNp2ClI/35rNP346BMDfL+/DbWO6Kbc5HBJ3LUrkj8MlRPi6sOKBsR1uQRbOLBF8CIIgnEGSJPHkUnlPiYdRy/L7RhNzzByM9NI65r6/japGKyNj/PjkliHtdnAs31fA098foMlqJ8jTwL9mxbdqST2R7PIGNhwpY8ORMnZlVbaa+9FRQZ4GxsQGML5XAGNj/dvN0rSlpsnKv385zLe78wAYEePL2/MHtbuX5p116bz8eyoAb8wbyOyEsKPP1Wjlsrc2kV/VxJQ+QXxw4+Bz5shJOEoEH4IgCGfQl9tz+OuPB1GrYOGtwxjf8+h0zsLqJq5+byuFNSYGRHjz9R3DcTO0DjwsNgcv/JLM59tyAHka6BvzBuLXwSVySXnVfL8nn/WpZeRWNra4TaWSW2Kj/dyI8nMl1NsFnablh3ejxU5uZSM5FY3kVDRQXm9p9Rz9w72Z0ieIuUPCj1uncqyVB4t57Lt9NFjshHoZef/GwfQP9251P0mSi1AXbslGq1bx0c1DWoxZP5Bfw1XvbcVid/CXGb25c1xMh15fOHNE8CEIgnCGJBfWMvvdLVhsjlZdG1UNFuZ+sI300npiAtxYevcofNvIHhRWN3HvV3vY5ywqfXBSLA9N7nnC9lKT1c6K/UUs2pZNUn6N8n2dRsWQKF85Y9HDn9hAdwzatgs/21NnsrI/v4YNR8rYeKSMlOK6Fs8/PT6Em0dFMSjS54RZiLSSOhYsSiSzvAG9Vs0Ls+OZOySi1f0cDonHliTxw94CjDo1X90xnMFRR+tFFm3P4W8/HkSjVrH4rhHnxaK9i4kIPgRBEM6ABrONmW9vJrOsgUlxgXx80xClGLTRYmP+RzvYl1dNsKeR7+9te5/LocIabv50F+X1ZjyNWt64diCT4o6/2bWywcJHmzJZvDOXqkYrAHqNmhn9grm8fygju/u1mV05FcU1JtanlvLd7jz25FYr3+8T4sld42K4YkDocQtha01WHv12H38cLgXkRXNPT4trFbhY7Q7u/GI361PL8DRq+fGYIyxJknho8T5+SiokyNPAbw+NazOYE84OEXwIgiCcAY99l8T3e/IJ9jTy60NjlQ9Cq93BHZ/vZsORMrxcdCy9eyQ9gjxaPX5bRgV3frGberONuGAPPrppCBG+ru2+nslq57Ot2byzNl2p4wj1MnL9iCjmDY1ot56iqx0sqOGLbdks31eoDDvrF+bFXy7rzYgYv3Yf53BIvLkmjTfXpAFw3bBInp8d3yrD02SxM//j7ezNraZ7gBs/3jcaD2fxa4PZxhVvbyajrIHp8cG8e/0gUf9xjhDBhyAIwmm2bE8+j36XhFoF39w5guHHfOj+Y/lBPt+Wg4tOw5d3DGdwlE+rx/92oIiHFu/DYncwvJsvH908pN3uEodD4uf9hfx3ZSoF1U2AnHF48JIeTO4d2G4XyelW3Wjhqx25vL8+QwmGLu0TxDPT41oU3P7Z4p25PPPDASQJZg4I5bVrBrQazX5s2/IlcYF8dExW6WBBDbPf2YLNIbUqThXOHhF8CIIgnEYZZfXMfGszjRY7j0zuyUOTeyi3Ld6Zy9PLDgDw4Y2DW41VB/hqh1ygKkkwtW8Qb16b0O4wrtTiOp78fr8yZCzY08jjU3sxJyHsnJn3UVFv5o0/0vh6Zy52h4RWreKucTE8PLlnuyPff9lfxMPf7sVql5gUF8i71w9q9f+D/fnVzH1/G2abo9UMkP+tSeO11UfwMGpZ9cg4QrzanxArnBki+BAEQThNTFY7V767lcNFtYyM8ePLO4Yrxwa7syu57qPtWO0Sj17akwcv6dHq8ce2lLZ37ADySPVPNmfyyu9HsNgduOk13DOhO7ePicFF37ni0WNJkkRVo5Umqx2NSoVGffTL06g9pSOM9NI6/v1rCmtT5LqOvqGevDFvYJtHTgDrU0u5+8tETFYHw7r5svCWoa1qVX7Ym88j3yYB8M78QVzWPwSQd8Rc9f42kvKqGRPrzxe3DTtngrGLlQg+BEEQTpP//JbC+xsy8HPT89tDYwl0Dv4qrG7iire3UF5vZka/YN6Z37oW4aONmbzw62FA7mh55E/jxJvlVTby2JIkdmZVAjApLpD/zOmnvFZHSJJEVnkDWzMqSCmuJb+qiYKqJgqqm5T9MH/motPQzd+NbgFudPd3IybAneExvp3OKvx2oIhnfjhAdaMVg1bNM9PjuGlkdJvBwa7sSm5buIs6s43RsX58esvQVp05L/ySzEebsnDRafj+nlH0CZU/GzLK6pnx5ibMNgf/mtWXm0ZGd+p9Cl1LBB+CIAinwZ7cKq5+bysOqeWRislqZ+772zhQUENcsAff3zOq1V/wi7Zl87fl8hTPx6f05P5JrbMiAEsT8/nnT4eoN9tw1Wv42+V9uHZoRIcyElUNFtaklLI1o5xtGRUU1Zjava9eq8bhkLA5TvwREBfswfheAUzoGciQaJ9W9RltKa018cTS/Ww4UgbIc0tenzewzaLYfXnVXP/Rdhosdqb1Debt+Qkt6lhsdge3fraLTWnlRPq68suDY5QC1M+2ZPHPn5Mx6tT89tA4uvm7nfC9CafHaQs+XnzxRZYtW0ZKSgouLi6MGjWKl156iV69jp7DSZLEs88+y4cffkhVVRXDhw/nnXfeoW/fvl3+5gVBEM4Uk9XOjDc3kVnewJyEMF6bNxCQf+c98u0+ftxXiI+rjp/uH9OqY2XJ7jyeWLofgHsndOfJaXGtnt9qd/Cvn5NZtF0eMjYkyodXrxlAlN/xP0wdDoltmRV8szOXVYdKsNgdym16jZpBUd4MjvIhwseVcB9XwnxcCPEytqivcDgkLHYHhdVNZJY1kFXeQGZ5PclFdezPr+bYTwlPo5a5QyK4cUQU0Sf4oJckiUXbc3jhl8OYbQ7CvF345JYhxAW3/t2+Jb2cWxfuwmJ3cM2QcF66qn+LgKum0cqM/22ioLqJWQNDeWPeQFQqFQ6HxI2f7mBLegWDo3xYsmCkOH45S05b8DFt2jSuvfZahg4dis1m4y9/+QsHDhwgOTkZNzf5h/Cll17ihRde4LPPPqNnz548//zzbNy4kdTUVDw82j73O9k3LwiCcKY8vyKZjzdnEeRpYNXD4/Fylf/y/mZnLs8sO4BGreLL24czsnvLVtOfkwp5aPFeHBLcOjqav1/ep1UWo6rBwr1f7WFbZgUAj0zuyf2TYo87ZKy50+TbXXktJpr2DvFkYq8ARsf6MzjKp91C1o6qbLCwKa2M9anyuPbKBnnyqUoFE3oGcNOoaMb3CDjuB356aR13fpFIVnkDbnoN/7sugUt6t55lsvJgMfd+lYhDgrvGxfDM9JZzQBJzqrjmg23YHRKvzB3A1YPDAfnI69LXNtBgsfP87HhuGBF1StcsnJwzduxSVlZGYGAgGzZsYNy4cUiSRGhoKA8//DBPPfUUAGazmaCgIF566SUWLFjQpW9eEAThTNiZVcm8D7chSbDwlqFMjJPHfqcW13HF25sxtzHdFGBtSgl3fZGIzSFx3bAI/n1lv1aBx5GSOu74fDe5lY246TW8Pm9gmx0yzRrMNj7dnMWHGzOV9lYPg5bZCWHMGxpxWre+2h0SG9PK+GJrNutSy5Tvxwa688z0OCbFBbZ7PFTdaOGeL+UAS6WCv8zoze1jurW6/3e783jSmSV6clov7p0Q2+L25oJdV72GFQ+MUVp6F27J4tmfk/Ewalnz6PhO1ccIXaMzn9+n1BxeUyOP8/X1lUfcZmVlUVxczJQpU5T7GAwGxo8fz9atW9t8DrPZTG1tbYsvQRCEc0WjxcYTS5OQJLhmSLgSeDRZ7Nz/9R7MNgfjewZw59iWu0YOFtRw/9d7sTkkZg8M5fnZrQOPtSklzHl3K7mVjYT7uPD9vaPaDTzMNjsLt2Qx/uV1vLr6CHXOwWSvzh3Azr9M5rnZ8ad93bxGrWJir0AW3jqM9Y9P4I4x3fAwakkvref2z3dz/cc7OFhQ0+ZjvV31fHH7MK4bFoEkwfO/HOaZZQewHXNMBHDNkAj+ellvAP67MpXfDhS1uP3u8d0ZGeNHo8XOA9/sxWyTi2dvGhlN/3Av6kw2/rUi+TRcvdCVTjr4kCSJRx99lDFjxhAfHw9AcXExAEFBLdNpQUFBym1/9uKLL+Ll5aV8RUS0nvcvCIJwtvx3ZSo5FY2Eehn56+V9lO//a8Uh0krrCfAw8Oo1A1ocOxTXmLjj8900WuyM7eHPy3MHtDpCWb6vgDu/SKTebGN4N19+un9Mm7UQAOtSS5n0ygae/TmZ8noLUX6uvHntQH59cCxXDQ4/pdbbkxXt78ZfL+/Dlqcncff47ui1arZmVDDz7c089l0SpbWti111GjX/vrIff7+8D2oVLN6VxyPfJWH9UwByx9gYbh0dDcCj3yWRXHj0j1KNWsUb1w7Ex1XHocJaXvotVfn+v6/sh1oFK/YXsS619PRdvHDKTjr4uP/++9m/fz/ffPNNq9v+HN1LktRuKu6ZZ56hpqZG+crLyzvZtyQIgtClEnOq+GxrNgAvXd1fmUD6c1Ih3+zMQ6WS178f28HRYLZx++e7KK410SPQnbfnD2rVHbJ4Zy4Pf7sPu0NiTkIYi24f3uaOkupGC49+t49bF+6ioLqJIE8D/76yH388Op5ZA8+NIWOeRh1PT49jzaPjuWJAKJIE3+/JZ8obG/llf1Gr+6tUKm4b0413rx+MTqPi56RCHvh6LxZbywDkLzN6M7aHP01WO3d+sZvyerNyW5CnkVfmDgDg0y1ZrHcGGvFhXtw2uhsAf/3hII0W2+m6bOEUnVTw8cADD/DTTz+xbt06wsPDle8HB8vpwj9nOUpLS1tlQ5oZDAY8PT1bfAmCIJxtVruDv/wgTyqdOzicsT0CAMitaOQZ5wTT+ybEMjrWX3mM3SEvPjtUWIufm55PbxmKl0vLkemfbs7i6WXyaPHrh0fyytwBbU4B/f1QMZe+vpFlewpQqeCOMd1Y//hE5g+P7FCr65kW4evK/65L4Id7R9E31JPqRiv3fb2HhxfvpabJ2ur+0+KDef+Gweg1alYekgtNm49QALQaNW9fN4hu/m4UVDdxz5eJLQKUS3oHccuoaACeWXaAWpP8Go9c2pMwbxcKqpuUHTLCuadTP8GSJHH//fezbNky1q5dS7du3Vrc3q1bN4KDg1m9erXyPYvFwoYNGxg1alTXvGNBEIQzYOGWLFKK6/Bx1fHMDLkGwWZ38ODivdSbbQyJ8uHhyS1ndbz462H+OFyCXqvmwzaWxL2zLl2pR7hzbDeenx3fKntRb7bx0OK9LFiUSFmdme4Bbiy9exR/vbzPWTle6ayESB9+uHc090+MRa2CH/cVMu2NjWxNL29130t6B/HxzUMwaNX8cbiUO79IxGQ9GoB4uer46KYheBi07Mqu4m8/HuTYHomnpsUR5edKUY2JF53D29wMWv41Sx7t8PGmLFKKRR3huahTwcd9993Hl19+yddff42HhwfFxcUUFxfT1CQvOlKpVDz88MP8+9//5ocffuDgwYPccsstuLq6Mn/+/NNyAYIgCF0tv6qR11fLfzU/M6O3ciTy0aYs9uVV42HQ8uZ1LQdhLdmdx8ebswB4Ze6AVsvk3vjjiDJW/aFLevB/M3q3Oo7OKKtn9jtbWL6vEI1axT0TuvPLg2PbXEx3LtNr1Tw+tRdL7h5FtDM4mP/xDt5Zl86fGyzH9Qxg4S1DcdFp2HikjHu+TGxRAxIb6M7/5iegVsG3u/P4akeucpuLXsN/r+oPwDc789icJgc4l/QOYlrfYOwOiX/9nNzqNYWzr1PBx3vvvUdNTQ0TJkwgJCRE+fr222+V+zz55JM8/PDD3HvvvQwZMoSCggJWrVrVoRkfgiAIZ5skSfzzp0M0We0M6+bLXOcsiSMldby++ggAf5vZhzDvoyPHkwtr+euPBwE5sLhiQGiL51y4JYs3/pCDmaenx7U5Vv33Q8XMensL6aX1BHka+G7BCJ6aFnfKczrOpsFRPvzy4FiuGyY3Erz8eyoPLd7XIrsBMCrWn89vG4ZRp2ZdahlPf3+gRcAwsVcgTzkHs/1rRXKLAtThMX7cPFKe6/HU9/upd7Yf/+Wy3koR7KrkktN6nULnifHqgiAIx/j9UDELFiWi06j47aGxxAZ6YLU7mPPuVg4U1DApLpBPbh6iBA+1JitXvLWZ7IpGJvQK4NObh7Y4SvlxbwEPf7sPoNUGXJDrRF5dlcq76zMAGNbNl7fnJxDocWHNqfhqRw7/WH4Im0NiQLgXH940hKA/zeJYc7iEuxYlYndI3DOhuxJwgBwU3v75btamlBIT4MbP949RRtg3mG1Me3MjeZVN3DAikudn9wPgld9TeXtdOpG+rqx6ZNx5HcidD87YnA9BEIQLSb3Zxj9/kvevLBjXndhAOWP7/voMDhTU4GnU8uKco/M6JEni8e+SyK5oJMzbhdevGdgi8FibUsLjS+SNrLeMiubBS1oOzGqy2Lnri91K4HH7mG58dcfwCy7wALh+eBSLbh+Ot6uOpPwarnh7M/vzq1vc55LeQbw4Rw4c3lufwcItWcptKpWKV+YOINjTSGZZA39bflC5zc2g5aU58vHLl9tz2ZohH7/cM6E7QZ4Gcisb+fSY5xLOPhF8CIIgOL35xxGKakxE+rpy/yQ5UEgurOV/a+Ujk2dn9W3x1/rHm7JYlVyCTqPi3esH4XNMu+yu7Eru+XIPNofElQlhrcaq1zRaueGTHaxJKcWgVfPmtQP52+V9zslOlq4ysrsfy+8bTY9Ad0pqzVz34Xa2O0fKN7tmSARPTJX3hf1rRTIr9hcqt/m66fnfdXL9x7I9BSxNzFduGxXrz/XDIwG5+8VkteNm0CrZk3fWprc5e0Q4Oy7cn3JBEIROyCirZ+GWbAD+NasvRp0Gi83B40uSsNolpvQJYvbAMOX+O7Mq+c/KFAD+fnkfBkR4K7cdKanjts92YbY5mBQXyH+v7t8iI1JSa+KaD7aRmFOFp1HLV3cMZ9Yxz30hi/JzY9m9oxgd60eDxc4tC3cqm2+b3TuhOzeNjEKS4NFvk9iTW6XcNqybL49M7gnA3348SHppvXLbMzN6E+RpIKeikQ82ZAIwe2AYAyO8abDY+a+z4Fc4+0TwIQiCALzwy2FsDolL4gKZ0Eseof7BhgySi2rxcdXxwjF7WSobLDzwzR7sDolZA0NbLDKrbLBw++e7qDPZGBrtwzt/GjKWWVbPnHe3klpSR6CHge/uHsmQaN8ze7FnmYdRxyc3D2VSXCAmq4M7P9/N6mOKQlUqFf+Y2ZcpfYKw2B3cvSiRkmOyFvdOjGVUdz+arPKI9eb5H+4GLX9zTqF9Z306ORUNqNUq/jFT/t7SxHyS8qrP3IUK7RLBhyAIF731qaWsTSlFp1HxF+dekezyBt5alw7AP2b2JcBDnmIqSRL/t+wAJbXyDI5jl8VZbA7u+TKRvMomIn1d+fDGIS1mcxwuqmXu+9soqG6im78b398zqt2R6hc6o07D+zcMZnp8MBa7/P+3n5OOHrFo1CpemzeQnkHulNaZufvLo0PINGoVb8yTR6wfLqrl7bVHh4ld1i+EMbH+WGwO/vnTISRJIiHShzkJcmbphV8Pi9bbc4AIPgRBuKhZ7Q6ecw7+umVUNDEB7kiSxN+WH8RiczAm1p9ZA4+2zi5JzGfloWJ0GhVvXpugdFxIksQ/fjrIjqxK3A1aPrl5SIsakPTSOm74eAcVDRbiwzxZcvfIVkPILjZ6rZq3rktg9sBQbA6Jhxbv5ddjFsm5G7R8eOMQPI1a9uZW8/cfDymBQ6Cnkedmy3vF3lmfwYF8eaGdSqXi2Vl90WlUrEstU9psn5jWC71Wzc6sStanliGcXSL4EAThorZoWw4ZZQ34uel54BK5DfanpEI2pZWj16p5fna8ktnIrWjkWWc3zCOX9myxRfbzrdnKvpe3rkugR9DR2UbZ5Q3M/+ho4PHVHSNa7IO5mGk1al69ZiDXDAnHIcHDi/ex5ZhpqNH+brw1f5AyZOzL7TnKbZf3D+Wy/iHYHRKPLdmnZEa6B7izYFx3AJ796RCNFhshXi7KOPaXVqbgcIjsx9mkPdtvQBAE4WypbLDwxh/y4LDHp/bC06ijpsnKcyvkUd33T4wl2t8NkEerP/LdPhosdoZF+yofbgAbj5QpY9OfmR7HxLhA5baC6iau/3gHpXVmegV5sOi24a32vZxODodEZnkDWeUNlNaZKK01U1pnpqLejEoFBq0Gg1aNQafGw6gjxt+N7oHudA9wP2PvU6NW8eKc/tSbbfx6oJi7vtjNN3eNoH+4NwDjewbw5LQ4/vNbCs/+nExciCdDnXUyz82KZ0dmBUdK6nnzjzSedHa33Dcxlh/2FlBQ3cRba9N5aloc907ozjc7c0kprmN5UgFXJoS395aE00wEH4IgXLReW51KrclG7xBPrhkiT+H878oUyuvleo4F42OU+763PoPEnCo8DFpevWYAGmf3Sn5VIw98sxeHBFcNCufOsUcfU1JrYv5H2ymobiLG340v7xje4ijmdLDYHOzOriQxp4rE3Cr25la3uditI/zdDQyO8mZCr0Am9AogxMvlxA86SRq1itfnDaS6cRdbMyq4ZeEult49kpgAdwAWjIvhUGEtPycV8tA3e/n1obF4u+rxddPz/Ox+3P1lIu9vyODSPkEkRPrgotfwzyv6cucXu/l4UybXDImgm78bd4/vzsu/p/LqqiNc1i+0zaV+wuknJpwKgnBROlJSx7Q3NuKQYPFdIxgR40diThVXvbcVOPo9gP351cx5dys2h8Tr8wYofzFbbA6u+WAb+/KqGRDuxXd3j8SglQtMaxqtXP3+VtJK64nwdeG7BSNP24e33SGxM6uSn5IK+O1gMdWNLYMNg1ZNr2APAj2MBHoaCPQw4OduQAWYbQ4sNgdmm53KBgsZZfVklDZQ3MZMjF5BHkyMC+SaIeFKUNDV6s02rvtwOwcKagjzduH7e0YR7GVUbrv8f5vIrmhkat8g3r9hsHIk9vDivfy4r5DuAW788uBYZZrpLQt3sj61jKl9g/jgxiE0WeyMf3kdpXVm/jmzD7eM7tbuexE6pzOf3yL4EAThonTH57v443Ap0/oG8/6Ng7HZHVz+1mZSiuu4enA4r8wdAIDZZufy/20mrbSey/qH8PZ1CcoH3nMrkvlkcxaeRi2/PDhWKSC12Bzc/OlOtmVWEOxpPG3FpSW1JhZuyeaHvfmU1JqV7/u7GxjZ3Y/Bkd4MivKhd4hnp4eX1ZmsHCmpZ0t6OetTS9mXV82xZRJjYv25YUQUk3sHtliw1xUq6s3MfX8bmeUN9A7x5Pt7RuKqlxP1B/JrmPPeFqx2iedmx3Ojs825utHCpa9vpKzOzEOX9OCRS+VZIGkldUx7cxN2h6QElF/tyOEvPxzEz03Phicn4m4QhwBdQQQfgiAIx7Ezq5JrPtiGRq1i1SPj6B7gzqJt2fxt+SG8XHSse3yCssn29dVHeHNNGv7uelY/Ml45Nll1qJi7FiUC8OGNg5nSNxhwjlxfsp/v9+Tjptew9J5R9A7p2t9lORUNvL8hk+8T87E4N8B6GrVMjw/hioGhjIjxU46Fukp1o4WNaeUs31vA2tRSmj85gj2N3D6mGzeOjOrS3Sn5VY3MfmcL5fUWLusXwtvzjwZ9H2/K5PlfDqPXqvnp/tFKu/Iv+4u47+s96DVqVj48VsnO/O3HgyzankN8mCc/3TcGuyQx5fWNZJU38PDkHjzsHFomnBqx20UQBKEdkiTxn9/kgtJ5QyPoHuBOdaOFV50bax+b0lMJPFKL63h3vTzr459X9FUCj7zKRmVnyx1juimBB8Dba9P5fk8+GrWKd64f1KWBR2ZZPQ98s5eJr6znm525WOwOhkb78P4Ng9n118m8dHV/Rsf6d3ngAeDtqueKAaF8cstQNj4xkXsmdMfPTU9xrYkXfj3MpFfWszQxH3sXdZGE+7jy/g2D0WlU/HKgiLfXpiu33Ta6GxN6BWCxOXjwm700WeQulxn9ghnfMwCL3cFffzyotOU+PLkHHgYtBwtq+WFvATqNmsemyAHHJ5uyqG60dMl7FjpOBB+CIFxUViWXsCe3GhedhoedrbVv/JFGdaOVXkEezB8m7wexOySe/H4/VrvEpX2CuKxfCCAfqdz/9R5qTTYGRngr3RUAy/cVKEHMs1f0VSalnqoGs42XVqYw9Y2N/JxUiEOCCb0C+G7BSJbcPYpp8cFKrcmZEOHrylPT4tj6zCReuqofIV5GCmtMPL4kiRlvbmJdSmmXvM6QaF+ed87yeHX1EVYeLAZArZaXzAV4GDhSUs8Lv8qdRiqViudmxWPQqtmaUcHyffLQMj93A/c5d/W8/HsqjRYbM+JDiAv2oM5s49PNYuncmSaCD0EQLho2u4P/Ovex3D6mG4GeRo6U1LHIOTvi7zP7KPULC7dkkZRXjYdR22LWx6urUknKr8HLRcfb8xOUbold2ZU8sWQ/AHeNi2kxcv1kSZLEiv2FTH5tA++tz8Bql5jQK4AVD4zhs1uHMazb2R3LbtBqmDc0knWPT+CZ6XF4GrWkltRx62e7eOCbvVQ2nHpGYd7QSGU+x6Pf7SOluBaQ61pev2YgIG+ybZ4NEunnyoPOoPL5X5KpcRbf3jIqmnAfF4prTXy0MQu1WsVDzvst3JKt3E84M0TwIQjCRWNpYj4ZZQ34uOq4a3wMkiTx3Ipk7A6JqX2DGB3rD8jDxF5ZJS8h+78ZvZVNtjsyK/hwk7yw7L9X9yfcRy4iLa01ce9Xe7DYHUztG8TTx2RDTlZhdRM3fLKD+7/eS1GNiQhfFz6+aQgLbxnaYrjZucCo07BgfHc2PTmJu8bFoFGr+DmpkCmvb2DlwaITP8EJ/OWy3ozq7kejxc6dX+xWWofH9PDnppFykPfk0v3Um20A3Dk2hthAd8rrLbz0e4ryHp+eLv/v8v6GDEprTUztG0yvIDn78ckWkf04k0TwIQjCRaHJYud150Cx+yf1wNOoY3VyiTzJVKPmLzPk5WOSJPHMD/sxWR2MjPHj2qHy/I86k5XHliQhSTB3cDhTnXUeVruDe7/aQ5lziNjr8wa22GB7Mn49UMS0NzayJb0Cg1bNI5N7svqR8UzuE6RkYM5FXq46/m9Gb364dxQ9g+QP/7u/3MP9X++h6hSyIDqNmnfmDyLcx4W8yiaeWbZfqed4aloc4T4uFFQ38eKvci1P82RagK935LLXuRX3sn4hDIr0pslq56216XL2Y3Jz9iPrpOehCJ0ngg9BEC4KC7dmUVJrJszbhRtGRGK22Xn+F/nD6o6x3Yj0k7MYy/cVKh/6L845ujTu+RWHya9qItzHhb87t6QCvPhrCrudw8feu2GQ0hJ6MhrMNp5cmsS9X8k1JQPCvfj94XE8NLlHl3aSnG79w735+YEx3D8xFo1axYr9Rcx8ezMHC2pO+jl93PS8PX8QWrWKXw8U89WOXADcDFr+e1V/AL7acfT4ZUSMH3MGycvknv05GYdDQqVS8cRUOfuxeFcueZWNTGvOfphE7ceZJIIPQRAueLUmKx9skI9LHpvSE4NWw2dbssmtbCTQw8C9E2OV+73g/Ov5wUt6KKPVVyeX8O1ueW/Lq3MH4GGUx47/lFTIp850/avXDDilwVuHCmu4/K3NfLc7H5UK7pvYnaX3jFLew/nGoNXw+NRe/HjvaKL8XMmvauKq97byfWL+ST/nwAhv5ejkXyuSSS6U6z9Gxfpzwwi5UPjY45enp8XhqtewL6+an5wbc0d292NsD3+sdok3/khDrVYpNSKfiuzHGSOCD0EQLnifbcmmpslK9wA3Zg0Mo7rRwjvr5NbNx6f2UoZMvbE6jbI6M9383bhjrDz5sqLezDPL5ELSO8fGMNw59fRISR1PLZW/f++E7i3abTtr5cFirn5vG1nlDYR4Gfn6jhE8MTWu04PBzkX9wr346b4xTOwVgNnm4LElSfzduTH4ZNw+phuT4gKVrqMGZ6DxzPTeyvFLcyt1oKeR+5yB5X9+S6HRIt/38Sm9APhhbz5pJXVMjw+mZ5A7dSYbC0Xtxxlx/v9kC4IgHEdNk5WPnEWiD0/uiUat4t31GdSabPQK8uCqQfKo9MNFtXy+LRuQZ3oYtBokSeL/fjhAeb2FXkEePOqcmtlgtnH3l4k0We2MifXnMeeHWWdJksQ769KV5xrbw5/fHhrLyO5+p37h5xAvVx2f3DxU6S75YlsON36yg1pT57MMKpXcZhvsaSSzvIG//XgQaHn88uX2XBJz5DqP28d0I8xb7nJpzn4NiPBmat8gHBK8tvpIy+zH5iwlcyKcPiL4EAThgvbJ5izqTDZ6BrlzWb8QCqqb+GxrNgBPTe+FRq1CkiT+vvwgdofE9Hh5UBXAbweL+f1QCVq1itfmDVDqLv71czKZZXKW4s1rB57UUC+T1c6j3yXx8u9yV83NI6NYeMtQvF1P7+K5s0WtVvHIpT355OYheBi07MiqZN4H2yltY4fMifi66fnfdQmoVbBsbwE/O49URsX6c/VgOZj8648HsdkdGHUa/m9GbwA+2JhBYXUTAI9N6YVKJf9vfCC/hhnxIcQEuFFrsvGNs55EOH1E8CEIwgWrutGiFBE+MrknarWK11YdwWJzMLybLxOdQ8B+2FvAruwqXHQa/nq5XExa02jl78sPAfKxSt9Qub311wNFSv3H6/MG4udu6PT7qmm0csPHO/hhbwEatYrnZvXl2VnxXb4j5Vx0Se8gFi8Ygb+7gcNFtVz9/jZyKho6/TzDuvly/yQ5W/G35QcprZODmGemx+HlouNwUa0SZM7oF8ywaF9MVgcvOee89AzyYPZAuSD1lVWpqNUq7h7XHYCPN2dittlP9VKF47jwf9IFQbhofbQpk3qzjd4hnkztG8zholqW7ZULHp+Z0RuVSkVNk5V/O4tMH7gkljBvefPsi78dprzeTPcAN2U6ZmF1E09/f7TOo3nrbWdU1Ju57qPt7M6pwtOo5fNbh3HjyOguuNrzR99QL76/ZySRvq7kVjZy1XtbT6oT5v6JsfQN9aS60cr/LTuAJEn4uRuUotTXVx+hqKYJlUrF32f2QaWSu5maj2QentwDrVrFhiNl7MquZFZCKEGeBkpqzSzfW9il1yy0JIIPQRAuSJUNFhZuyQbkDxm1WsVLK1OQJHnew8AIbwD+tyaN8noLMQFu3DEmBoCtGeUs3pUHwH+u6o9Bq8HukHj4231yC2yE90ktIyuuMXHNB9tILqrF313PtwtGMqaHf5dc7/kmys+NpfeMpHeIJ+X1Fq77cDv786s79Rx6rZpXrxmATqPij8OlfL+nAIB5QyIYFOlNg8XOcyvk0evxYV5c7azveem3FCRJIsrPjblD5Dku/1uThkGrUX4G3t+Y0WV7aoTWRPAhCMIF6YONGTRa7PQN9WRKnyC2ZpSzPrUMrVrFE1PlAtGs8ga+cBaZ/mNmX/RaNSarnf9bdgCA64dHMjRaHmH+/oYMdmZV4qbX8Oa8gZ3uRMmrbGTuB1vJcNaKfLdgZJdvuz3fBHoY+XbBCIZG+1BntnHjJzuV9tmOigv25BFnIfCzPx2isLoJtVrF87P7oXHOBFmfKu+aeXRKTwxaNTuzK1mfWgbIGSyNWsWmtHL25lZx3fBIPI1aMssaWJ1c3LUXLChE8CEIwgWnot7MF1vlfS3NHSovrZQLO+cPj1RmZ7z462FlX0pzkemba9LIrmgkyNPAU870fVJeNa85F8b984q+nZ69kVXewNz3t5FX2USUnyvfLRh5SjNBLiSeRh0Lbx3GwAhvapqs3PjJDtJK6jr1HHeNjWFghDd1ZhtPfS9PP+0T6qnshPn78kOYrHZCvFyU7720MgWHQyLC15U5CXLtx1tr03E3aLnZeZ/31mcok1SFriWCD0EQLjifbsmiyWqnX5gXk+ICWXO4lKQ8eZPtA84ixW0ZFaxKLkGjVvEXZzfE4aJaPtwot2M+NyseT6MOk9XO40uSsDskLusfonRTdFRhdRM3fLyD4loTsYHufLdgJBG+rl17wec5d4OWz28bRnyYJxUNFq7/eAfZ5R0vQtVq5OMXg1bNprRyluyW63oeubQnQZ4GcisbleLTeyZ0x8OoJaW4Thk8dt/EWNQqWJtSyoH8Gm4ZFY1RpyYpv4ZtGRVdfr2CCD4EQbjA1DRZlazHfRNjkZyzHABuHhVNgIcBh0Pi+V/kWoD5wyLpEeTRot12Wt9gZWjY/9akkVZaj7+7nudnxXdqt0p5vZkbPtlBQXUTMf5uLL5rhLKkTmjJy0XHotuG0yvIg9I6M/M/2k5RTVOHH989wJ3HpshZrhd+lYuF3Q1aZZz622vTKasz4+2q5+7xclfLq6tTsdgcRPu7ccWAUADeWpuGn7uBa5y1IO9tyOjKyxScRPAhCMIFZdG2bOrM8lyPKX2C+P1QMclFtbgbtCwYJxcTfr8nn0OFtXgYtTzsXCz2476j7bbNu1v251fzgTMT8vzsfvi4dXwGR02TlZs+2UlmWQNh3i58ecdw/E+iLfdi4uOm58s7hhMT4EZhjYnbPtvdqYFft43uRu8QT7mDybm3Z05CGP3CvKg325Qg9NbRchCaV9nENzvlmR73T4pFpYJVySUcLqrlzrExqFWwKa2c1OLOHQMJJyaCD0EQLhiNFhufOOd63DshFgmUTba3jY7Gx01Po8WmDPZ6YFIsfu4G6kxW/v2rPP/h/kmxhHq7YLbZeWLJfuwOicv7hzAtvuPj05ssdm7/bJfS1bLo9mGEOlt4heML8DDw+a3DlDkg9321B5u9Y6PYtZrmZYDy8LEt6eWo1SolmPx2Vy7JhbW46rXKtNW31qbRYLYRG+jBjH4hgJwlifB1VTYXi4VzXU8EH4IgXDC+3pFLVaOVSF9XLu8fwor9hRwpqcfTqOX2sXLW44MNmZTWmYnwdVEKC9/4o/VOl7fXppNaUoefm55nr+jb4fdgszu496tEedOtUcsXtw0XxaWdFOHryic3D8GoU7PhSBn/+OlQhws/B0Z4c9OIKAD+8sMBTFY7Q6N9uax/CA4JnluRjCRJzBsaQbSfK+X1FqUe5AHnPJdfDxaRXlrP7WPkn4Uf9hVQXm/u+gu9iIngQxCEC4LZZld2uNw7QT7Tf/OPNEBeCOfloqOszqwUlD49rTcGrYbU4jrlw6d5p8vBghreXS+f9T83O75TU0yf/+Uw61LLMOrUfHbrUPqEXtzttCdrQIQ3b16bgEoFX+3IVf637YjHpvYiyNNAdkUj7zoXCD49LQ69Vs22zApWJ5eg06iVWS0fbcqkzmQlLtiTS/sEIUnw0cZMBkf5MCDcC4vNwVfbxcj1riSCD0EQLghLE/MpqTUT4mVkzqBwftxXSGZ5Az6uOm4d05zNSKPJamdAhDcz+gW3KDKd2jeI8T0DsNkdPLlUPm65rF+IkorviC+2ZSuBzBvzBjI4yvd0XOpFY2rfYP56mXxk8u9fU/gjuaRDj/M06vjnTDlb9d6GDNJL64nwdeVOZ1br378exmp3MHNAKDH+blQ3Wvlim1ykfPd4OUP2w94CSuvM3Ob82Vm0PUeMXO9CIvgQBOG8Z7M7eN/ZlXDXuBhUKrlLBWDB+O64G7TkVjTytbO48KlpvVCpVPy8v4gdWZUYdWr+5tzp8vm2HJKLavE0avlnJ45b1qeW8s+f5F0wT07rxbT4jgctQvtuGx3Njc5jlEe+29fhFtxp8cFMigvEapeUo5Z7JsTi764nu6KRb3floTlmm21z9mNwlC9Donyw2B0s3JLNjH4hBHsaKa8389M+MXK9q4jgQxCE894vB4rIq2zCz03PtUMjWb6vkNzKRvzc9Nw0Uv7gev2PI1jtEmN7+DOquz8mq53/OHe63DshlnAfV4pqmnhtlVyM+vT03gR4dOy4JbW4jvu/3otDgrmDw7nH2cp5LpEkiTqTlfTSOrakl7PyYDGrk0tYc7iEdamlbM0oJ6eiAYutY8WdZ4pKpeJvl/dhcJQPdSYbCxYl0mg5cQdM8+N0Gnl3y9qUUtwNWmXOy5tr0miy2OXsR8Cfsx/y/35fbc/BZLVz0yj5Z+iTzVli6FgX0Z7tNyAIgnAqJEnigw1yPcCto6PRa9XKOf+d42Jw1Ws5XFTLj/vkvR9POuc+fLI5i8IaE6FeRu5ytuA++1MyDRY7gyK9uXZoRIdev7LBwm2f7aLebGN4N19euLJfp2aBnA52h0RaaR37cqvZlyd/5VY20mg58bGBSgXBnkYifFwZEOHF0Ghfhkb7dqrNuKvptWrevX4Ql7+1mdSSOp7+/gBvXjvwhP9/7ubvxm2ju/HBxkyeW5HM2B4BXDcsko82ZZJf1cTCrVncOyGWhy7pwUOL9/HRpkxuGhnFpLhAYgPdSS+t55uducwfFslba9JJKa5jW0YFo2Ivzn08XUlkPgRBOK9tSa8guagWV72GG0ZE8euBIjLLG/By0XGDM13/8u+p8kK5/iH0C/eirM6sBChPTY/DqNOw5nAJKw8Vo1GreOHKfqjVJw4g7A6JhxbvpaBaHpv+/g2D0WvPzq9Vk9XOqkPFPLx4LwP/tYppb2zi6WUHWLwrj5TiOiXw8DBq6RHozqBIbxIivRkQ7kV8mCcxAW4YdWokCYpqTOzMruSjTVnctSiRhOdWM+X1Dby0MoWU4s7tXukqQZ5G3pk/CI1axU9JhUptzYncPykWf3e5+HThliz0WrUyjOz99RnUNFq5vH/L7IdarVIC0k82Z+Gq13LVYHkE+8IOvq5wfCLzIQjCee2DjXKtxzVDIvA06nh7rRxU3Da6G+4GLTuzKlmbUopGreIx556X11YfocFiZ0C4FzP7h9JksfP35XK9xu1junV44dubfxxhU1o5Rp2a928YfMazA5IksS2jgsW78lhzuISGYzIbrnoNA8K9GRjpTUKENz2CPAjyNOCqb//XviRJVDRYyK9qIqO0nt05VezKriS9tJ4jJfLXe+sziAv2YNbAMOYMCjujE1uHdfPl/2b05rkVybzwy2EGRHgzKNLnuI/xMOp4alovnli6n7fWpnPloDCuGBDGBxsySSmu490N6TwzvXeL7MfNo6KZNTCUV1elUlJrZvm+Am4eGc2X23NZc7iEguomwsTcllMiMh+CIJy3DhXWsCmtHI1axe1jurH6cAmpJXV4GLTcMjoaSZL470p5eNg1QyKICXAnpbiWb3fJhad/vbwParWK/61NUz5QmieensjalBL+5wx0XpzT74xuqDXb7Hy3O4/pb25i/sc7+CmpkAaLnVAvI7eP6cbSu0dy4J9T+eauETw1LY4pfYPp5u923MAD5DoJf3cDAyO8uWpwOC/O6ccfj44n8a+Teeu6BKb0CUKvUZNSXMdLK1MY89JanlyaRHpp/Rm6crkA9fL+IdicWac6k/WEj7lqUDgDwuUppy+vTEVzzGbjz7ZkU1xjapH9+HpHDgathttGy50uH27MJDbQnZExfjgk+HpHzmm9xouBCD4EQThvfeSc2TGjXwjhPi5K1uOmUVF4uejYmFbO7pwqDFo1D13SA0mSeOGXwzgkmNEvmKHRvmSW1fOxc4bEP6/oe8IPaIDcikYeXrxPfq2RUVyZ0LllcyfLZLXz/oYMRv9nLU8u3U9KcR0uOg03jIjkh3tHseXpSfzt8j4MifZF04Fjo47yczcwc0AoH940hF1/mcx/5vRjSJQPVrvEd7vzufT1Ddy9KJGDBTVd9prtUalU/HtOP8J9XMirbFIyVsejVqv4h7NzaUliPgcLapgUF8iQKB/MNgdvrklDo1YphaYfb8rCbLNz3fBI3A1a0krr2ZRWrhQvL96ZJ9puT5EIPgRBOC/lVzXy8/4iABaMi2H9kTIOFNTgotNw+5gYJEnidecuj+uHRxHsZWT9kTI2pZWj16h5appcePrcimSsdomJvQK4tE/QCV/XZLVz95eJ1JpsJER6K3MoTieHQ2LZnnwmvbKe//yWQnm9hWBPI09Ni2PbM5N4fnY/EiJ9zkihq5erjmuHRbL0nlF8f89IJveWh3KtPFTM5W9t5oklSZTWmU7re/A06njz2oGoVfI8jh/3FpzwMYMifZTlcS+tTEGlUvHUdPlnYMnuPPIqG5k9MIwQLyOldWaW7SnA06hj7hA5sPx0SxaX9gki2NNIRYOF3w4Un74LvAiI4EMQhPPSp5uzsTskRnX3o2+oJ28553rcMCISXzc964+UsS+vGqNOzd0TYrA7JP7j3N9yy+hoovzcWJdSyrrUMnQalTLn40Re/PUwyUW1+Lnpeff6Qae9wHRbRgUz397Mo98lUVhjIsTLyMtX92fTUxO5Z0J3vF3PXhfK4ChfPr55CKsfGcesgfIH+5LEfCa9soEPN2ac1rbdwVG+yoyOv/54kNyKxhM+5ompvdBpVGxKK2fjkTKGRvsyJtYfm0Pi3fXp6LVq7lDG8Gdgd0jcMioalQrWp5aRU9nI/OGRgDxQTjh5IvgQBOG8U9NoZbGzbuOucTHsyKpkT241eq2aO8fKWY83nFmPG4ZHEehhZPm+AlJL6vA0arlvQiwWm4PnViQDcOvobh3av7LmcAmfO2dBvDZvICFep6/osM5k5ZllB7juo+3yBl6Dlien9WLd4xOYOyQCnebc+fXdI8iDN69NYNm9o5Tain//msKM/23iQP7pO4q5f2IsQ6J8qDfbeOjbvSdcQBfh66p0QP3ntxQcDomHnDU+S3bnk1fZyHXDIvB21ZFd0civB4qI8nPjkjg5I/bZlmyuHRaBTqNiT271GTlmulCdOz+9giAIHfTNrlwaLXbigj0Y3zNAmW46d3A4gZ5G1qWWkpRfg1GnZsH47phtdmWd+j0TYvFy1fH51mwyyxvwd9dzv3Oh2PGU1pp4Yul+AO4Y043xPQNO2/WtTy1lyusblXXv1w+PZP0TE7h3QixGnea0ve6pGhTpww/3jublq/vj724gvbSeK9/dwltr0jq8mbYztBo1b1w7EA+jlr251Xy06cTbZx+Y1AMPg5bkolqWJxW0yn646rXc4lw4+N76DCRJ4rYx8v+9NDEfg0ajTK9dtE0Unp4sEXwIgnBesdodfO6ctXD7mG6kFNexPrUMtYqjWQ/nQrmbRkYT4GHgmx255Fc1Eehh4JZR0ZTVmZXx609OjcPTqDvuazocEo8tSaKywUKfEE+emNbrtFxbg9nGE0uSuGXhLopqTET5ubL4rhG8cGW/Ti23O5vUahVzh0Sw+pFxXNZP7kp5dfUR5n6wrcOj0Tsj3MeVfzj3uLy++gjppXXHvb+vm567nYsHX/n9CCarvVX24+aR0bjqNSQX1bLhSBkjY/yIC/agyWrn2925yrj35UkF1DSeuNtGaE0EH4IgnFd+P1RMUY0Jf3e93IHh7HiZHh9CtL8baw6Xsj9fLjy9a1wM9WYbbzm7YB6a3AMXvYaXf0+hzmyjf7gXVw8+cafKJ5uzlHke/7suAYO267MP6aV1zH5nC0sS81Gp5Dklvz00lhExfl3+WmeCj5uet+cn8Ma8o5mJy9/azOoOLofrjKsGhTGhVwAWu4PHl8hLAY/nttHdCPI0UFDdxJfbc1plP3zc9Fw3TK7teG99BiqVSmm7/XxrDoMivYkL9sBkdfDD3vwuv56LgQg+BEE4r3y6WU6tXz88Sl72lSQv+7p7fHc567FGPl65aVQU/u4GPt2cRUWDhWg/V64ZEsGhwhqWJMofGP+Y2feEk0wPFtTw399TlPvHBp64NqSzfkoq5Iq3t5BWWk+gh4HFd47g7zP7dKjt91ymUqmYnRDGyofHMSzal3qzjTu/2M2bf6ThOEGA0NnXeXFOPzwMWvblVfPJ5szj3t9Fr+FR58C5d9alyzUjf8p+3DG2G1q1ih1ZlRzIr+GKgaH4uukpqG5iVXKJEpx8szNP7Hs5CSL4EAThvLE3t0ouLNWouX5EJJ9szsLukBgd60e/cC/Wp5ZxsEAetX7X2BgqGyxKZuSxKb3QadT857cUJAlmDghlcNTxp2NabA4eX5KE1S4xtW9Qh/e9dJTV7uDvyw/y4Dd7abTYGdXdj18eHMvw8zTb0Z4wbxe+unO4Ukvx+h9HuPvLROrNJ14Q11EhXi5Kx9Irq46QUXb8wWdXDQonxt+NqkYrn23JapH9eH9DBiFeLsx0tuZ+sjkTo07DfGfA8fnWbGYnhGHQqkktqWNvXnWXXcfFQgQfgiCcNxZuyQbkwEGnVrN4Zx4AC8bJWY+3nftarh8eiZ+7gXedf9X2DfXksn4hbHDO+dBpVDwx5cR1G2+tTSOluA4/Nz3/7uKFcbUmK7cu3KVsUn1gUiyLbh/e4U265xudRs0/r+jLf6/uj16jZlVyCVe/t5WS2q6bCTJ3SDjjegZgsTl4cun+42ZXtBq1ku34cGMmNU1WpfB4SWI+pXUmbh8jH7Ws2F9EUU0T14+IROPMhpTUylNRAb7Zkdtl13CxEMGHIAjnhaKaJn49IA8Vu3V0NIu259BktdMnxJOxPfzZnllJYk6V0m5bWmti0Xb5g/2Jqb2QkGd0gFyIGunnetzX259fzbvr5S6a52fHd2nBZ2F1E3Pf28bm9HJc9Ro+uXkIj03p1aVTSc9V1wyJ4NsFIwj0MJBSXMecd7eS1UWFqM3HL256DYk5VXy7O++497+8fyg9At2pNdn4dHMWw7v5khDpjcXm4NPN2cSHeTEixhebQ+LzrTmEeLkwuXcgAF9uz+G6YXImbMX+Imo7MOZdOEoEH4IgnBcWbcvB5pAY3s2X2EB3ZavpgvExqFQq3nFmPa4ZIrfbvrs+A7PNweAoH8b3DGDZnnxSiuU5Hw+coLXWbLPz+JIk7A6Jy/uHML1fSJddx8GCGma/s4XUkjoCPQx8t2Akl/Q+8WTVC0lCpA/f3zOKaD9XCqqbuPq9rV02MyPM24VHnVkteRqsud37atQqHnHWfny6OYuaJiv3TpB/Nr7cnkNNk5U7xshDx77ekUOD2caNI6IBWLangLgQT3oEutNktbN8X2GXvP+LhQg+BEE45zVZ7HztnHlx25huLNtTQGWDhTBvFy7rF8K+vGo2p8sL5haM605xjUm5/yOTe2KyOnh1lVyIet/E2BNOBX3zjzSOlNTj767nX7Piu+w6tqaXc80H2yitM9MzyJ0f7htNfJhXlz3/+STC15Wl94yib6gnFQ0Wrv1wO9syKrrkuW8eGUWfEE9qmqy86Jxq255pfYOJC/agzmzjo02ZXBIXSM8gd+rNNr7cnsOkuEC6+btRa7KxNDGfUd39iPF3o95sY/m+gqOFpztyReFpJ4jgQxCEc95PSQVUN1qJ8HXhkrhAPt0id7zcOjoarUatLJSbPTCMCF9X3l2fjsXmYFi0L6Nj/fh0SxbFtSbCvF242Vn02J79+dXK0LLnZ/fD161rxpdvOFLGrZ/tUgpLl94z6qJfy+7vbmDxXSMYESN3wtz62U62Z556AKLVqHnhynhUKvh+T/5xgxq1WqV0vizckk1Vo4V7nHNAPt2chdnm4DZn7cenW7KQQBmxvmhbDnMGhaHXqkkuquWAmHjaYSL4EAThnCZJ8nk7wE0jotmUXk56aT3uBi3zhkaQUlzLH4dLUKng3ondKaxuUgpRH760B9WNVt531m48MbXXcSeEWu0Onvr+AA4JrhgQyrT44C65hj+SS7jz892YbQ4m9w5k4a1DTzjY7GLhYdTx2a3DmNArAJPVwW2f7WJ3duUpP29CpI/SnfK35QePu2fm0j5B9AvzotFi56NNWVzeP5QwbxcqGiwsSczjqkFheLvqyKlo5I/DJcwdHIFRpyaluI700npmOH9OmifSCicmgg9BEM5piTlVJBfVYtCqmTsknE+cI7SvHRqBh1HHO+vkwGJGfAjdA9x5Z106FruDETG+jOruz/sbMqgz2+gT4qlsNW3Pp5uzOFxUi7erjn/M7JpttSsPFnH3l4lY7A6mxwfz7vWDT8uQsvOZUafh/RsGMybWn0aLnVsW7mJfF7SvPjk1Dn93Peml9Xy0qf3ZHyqVioecS+q+3J5Do9nOgvHNC+Yy0WvUyvHK51uz8XLVKT9Li7bnMG+ofNvPSUU0Weyn/L4vBiL4EAThnNa8yG32wDCKa01sTi9HrYKbR0WTU9HAL/vlQr97J3Ynv6qR75wdDo9M7klJrUkpTH1iaq/jDhTLq2zk9T/kupD/m9G7S7pbVh4s4r6v92JzSMwcEMpb1yWc9i245yujTsNHNw1RjmBu+mTHKRehernq+MtlvQF5mNjx2nov6R1IXLAH9WYbn23N5pohEfg5h4r9drCYG0ZEoVbB1owK0krqlMLTXw8U0SPInQhfF+rNNlYeKjql93yxEP8KBEE4Z5XWmvjN2V5748goJesxPT6ECF9XPt6UhUOC8T0D6BvqxTvrMrDaJUZ192N4jB9vr01XOl4m9Gp/EZwkSfz1x4OYrHLGZG4HRq6fyOa0ch78Zh92h8SchDDemDcQ7Tm0ifZc5KLX8MnNQxkS5UOtycatn+0ir7LxlJ5z9sAwBkV602ix89LK9otPVSqVMufj0y1Z2BySsgH3402ZhHoZubSP3JX0+bZs+oV70S/MC6td4oc9BVw9SG67XbJbjFvvCPEvQRCEc9Y3O/OwOSQGR/kQ5GlU2hlvG9ONinozSxKdQ8bGx1BU08RS5//9yKU9yatsVM7gn5ja67gDwn7eX8SGI2XoteouGSa2J7eKuxbtVo5aXp474KKY4dEV3AxaPr11KHHBHpTVmbll4U6qGy0n/XwqlUpZPLdsT8Fxj3Omx4cQE+BGTZOVr7bncOPIKPRaNUn5NezOqeLmkdHK89SarFzrnPPxza5c5gwKQ+XMjJxqwHQxEMGHIAjnJKvdwVc7nIWmI6NYtD0Hi91BQqQ3g6N8+GJbDiarg/7hXoyM8eODDZlY7fIckKHRvrzxRxo2h8TYHv7HXc5W02jlXz8nA3D/xFhiAk5td0tKcS23LpS7Wsb28OeNaweKwKOTPJ1FqCFeRjLKGrjzi92YrCdfSzEgwpurBsnZrGd/PtRuS6xGrVLmfHy0KQt3g5Y5CWGAnP0Y2d2PHoHuNFrsfJ+YzxUDQnHRacgsa6CoxsSo7vLP2bI9BSf9Xi8WIvgQBOGc9PuhYkrrzPi7G7ikdxBfOaeV3j6mG00WO19sywbgrnExlNdbWLxLznLcPymWtJI6Zdvo4ycYo/7KqlTK683EBrpz9/jup/Se8yobufGTndQ0WRkU6c0HN4ri0pMV7GXks1uH4WHUsiu7ike/23dKy+ienNYLV72GvbnVxx0INmtgKOE+LpTXm/l2V54yYn1Vcgm5lY3c5GzV/mJbDm56LTMHyAPoFu/MZe5gOROydE9ely7OuxCJ4EMQhHNS886T+cMiWHmwmIoGC6FeRqb1DWZJYh5VjVYifV2Z1jeYTzZnYbI6GBDhzZhYf15bfQSHBFP7BjEgwrvd1zhYUKNkV56bFX9KxaA1TVZuWbiTsjozccEeLLxl2Hm/lfZs6xXswQc3DkanUfHrgWKlIPhkBHkauW+inNX4z28pNFraXmqn06hZ4AxCP9iQQbS/GxN6BSBJcjfUnIQwPAxassob2JRezrXOLphfDhQxsrsfHgYteZVN7Mg69XbhC5kIPgRBOOekFtexM6sSjVrF/OFRfLZVLjS9YaRcANjcNnnn2G7Um20scmZB7p8Yy+GiOn47WIxKBY9e2n7WQ5Ik/vHTIRzODbcju5/8Jlmr3cG9XyWSUdZAsKf8F7uXq5jj0RVGdffnP3P6A/DW2nSlAPlk3D6mG+E+LhTXmvh0c1a795s7OBx/dwOFNSZW7C/kzrFy2+13u/Ox2SWuHiIf4XyxNZuECG96BXlgtjlYebCYy52ZkOZ6JKFtnQ4+Nm7cyMyZMwkNDUWlUvHjjz+2uP2WW25BpVK1+BoxYkRXvV9BEC4CXzuzEZf2DqKgupGDBbXotWquHRrJbweLyatswtdNz9WDI/hsazYNFjtxwR5cEhfI/9akAXBZvxB6BXu0+xo/7C0gMacKV72G/5sRd9LvVZIk/vrDQbakV8hL4m4ZQrCX8aSfT2jtqsHhyvHHY0uSSC2uO6nnMeo0PDFVDkjf35BJRTt7X4w6DbeOjgbkOR+juvsRF+xBk9XON7tyudHZBbMutZTCGtPRwtOduVztPHr57UAx9ea2syvCSQQfDQ0NDBgwgLfffrvd+0ybNo2ioiLl69dffz2lNykIwsWj0WJTCvauHxHJZ87pprMGhOLjqlOyHjeNjMIuSSzckg3IO1tSS+pYeUjOejzoHBrVljqTlX87d348MKkHIV4nP+b8/Q2ZfLs7D7UK3p6fQN/Qi3NXy+n2zPQ4RnX3o9Fi584vdp90B8zM/qHEh3lSb7bxtnMZYVtuGB6Fq15DSnEdm9LKlRHri7blEOXnxsgYPxwSfLszlysT5BHrKcV1aNQquvm70WS1s+pQ8Um9x4tBp4OP6dOn8/zzzzNnzpx272MwGAgODla+fH19T+lNCoJw8ViRVESd2Uakrys9Aj2UNPvNo6LZlV3F/vwaDFo1N46I4ivn5tEYfzdm9AtRsh4z+oXQM6j9rMebf6RRXm8mxt+N28ZEn/R7XZ1cosyO+PvlfZgUd3Ftpz2TtBo1b88fRLiPC7mVjTy4+OQKUNVqFU9PkwePfbk9h9yKtttivVx1zBsqZzE+3JjJFc7gt6C6iT8Olyj7XRbvysPNoGW6c8T60sQ8Zg+UO2R+2Cu6XtpzWmo+1q9fT2BgID179uTOO++ktLS03fuazWZqa2tbfAmCcPFqLgCdPzySr3fmYnNIDI32IT7Mi082y1mPOYPCcDdq+cR5bn/3hO4cKTla6/HgpPazHumldcrU039c0feku1Eyyup55Nt9gJyFuWV0t5N6HqHjfN30fHjjEIw6NRuPlPGecwFgZ43p4c/YHv5Y7RKvrk5t9363j+mGRq1is3Of0LXHjFif2jcYPzc9pXVm1hwuVTpdftpXyIx+ciCyJb38uFNVL2ZdHnxMnz6dr776irVr1/Lqq6+ya9cuJk2ahNnc9tnaiy++iJeXl/IVERHR1W9JEITzxMGCGpLya9BpVMwaGKrUftw8KprcikZWJZcAcNvobvy4t4DSOjPBnkZmDwzjrbVHsx7Hq/V4/pfD2BwSk3sHMb5n+1NPj6febGPBokTqzTaGRfvyt8u7Zg+McGJ9Qj3516x4AF5dlcrOk+wqeWqaXOezfF9hu2Pcw31cuayfXED60abMFiPWsysamDtE/rz6emcuo7r7EeplpNZkI6W4jiFRPjgkORgRWuvy4GPevHlcdtllxMfHM3PmTH777TeOHDnCL7/80ub9n3nmGWpqapSvvDxRISwIF6uvdsizOqbFh7A9s4LyegvBnkam9g1m4dYsJAnG9Qyge4A7H2yUsyC3j+lGZnk9vx6Qz9ePl/XYcKSM9all6DQqZedHZ0mSxBNLkkgvrSfI08Db1yegE2PTz6i5g8O5MiEMhwQPfrOXyobO13/Eh3kxe6C8HO6/v7ef/bhrnNzpsmJ/EZIkHR2xvjWb65yFppvSyiiobuIq51j+pYn5zHYOJ1smjl7adNr/xYSEhBAVFUVaWlqbtxsMBjw9PVt8CYJw8akzWVm+z1loOjxSmfNxw4hImqx2vtsl/2Fy+5hurD5cQmZZAx5GLdcOi+CtNXLh4PE6XGx2By/8Ik8yvWlkNN383U7qfb6/IZPfDhaj06h474bBBHqIzpYzTaVS8dzseGL83SiuNfH4kqR2p5Yez6OX9kKrVrHxSBm7s9vOoMSHeTGqux92h8QX23K42TlkbNmeArxd9Yzt4Y8kyZ0uzVNUN6WVMTTaF51GxeGiWlKKRTnBn5324KOiooK8vDxCQkJO90sJgnAe+3FfIY0WO90D3PAwatmbW41WrWLe0Ei+25VHg8VOj0B3xvXw533nWf+NI6IoqTXz60G5KLV5MVhbvt2dx5GSerxddcfNjhzPtowKXv5dLjD95xV9GRTpc1LPI5w6d4OWt+cPQq9VszallE+dXU+dEennylznzI5XV7U/wOw2Zz3P4p25DAiX53o0We0sTcxnvrMO5LvdeYR6uzAs2heHBGtSSpjYKxAQhadt6XTwUV9fz759+9i3bx8AWVlZ7Nu3j9zcXOrr63n88cfZtm0b2dnZrF+/npkzZ+Lv78+VV17Z1e9dEIQLyDfOI5f5w6OUhXBT44PxcdUp7bS3jenG7pwq9uZWo9equWV0NO9vyECSYHLvIHqHtJ05rTNZec354fLwJT1OagBYRb2ZhxbvxSHB1YPDlQ8d4ezpE+rJ35zHZy+tTCGtpPPzP+6f1AO9Rs22zAq2ZpS3eZ9JcYFE+blSa7KxbG8BN42S53x8uT2HS3oH4e9uoLzewtqUUq4+5ujlSufRy/K9hWLc+p90OvjYvXs3CQkJJCQkAPDoo4+SkJDA3//+dzQaDQcOHGDWrFn07NmTm2++mZ49e7Jt2zY8PNovABME4eJ2sKCG5KJa9Bo1U/sG8cOeo8cvq5JLKKiWh4pdmRDG++vlrMdVg8Kx2Bz86Pyr8r6J7e9leXd9BhUNFmL83bjeOSCqMxwOiceWJFFaJ++A+desvqe8+VboGjeMiGJ8zwAsNgePfpeE1e7o1OPDvF2UIWGvrTrS5vGNWq3iFudxy2dbspg1MAx354j13dmVXDVYDjKW7M5jRv8QZdmcj5seT6OW4lqTGLf+J50OPiZMmIAkSa2+PvvsM1xcXPj9998pLS3FYrGQk5PDZ599JjpYBEE4rm+d9RxT+gax8Ug5DRY7Mf7yIKfmttjrh0eSV9nImpRSVCp5tPqHGzOxOSRGx/qR0M4RSH5Vo9KS+38zep9UcejHmzNZn1qGQavmnfmDxM6Wc4hKpeK/V/fHy0XHgYIa3lrb/uCw9tw3MRaDVs3unCo2prWd/bh6cDjuBi0ZZQ0k5lQxO0EuVv1qx9GFcutSS2kw25SZHz8lFTI9PkT5b+EoUaItCMJZZbLa+dFZaDpvaESLOR+pJUd3vFw/PIpPt8hBxJQ+QbgbtSx2Bi33TWi/1uP11WlYbA5GxvhxSe/ATr+/vblV/Hel3A3xj5l9j9vGK5wdQZ5Gnp8tt9++sy6dfXnVnX5888j011altpn98DDqlPqQTzdnMX+YfP/fDxXj6aJVWmu/35OvdL38sr+Iac5A5LeDRZ3OylzIRPAhCMJZtfJgMXUmG2HeLrgbtBwqlPe4XDUoXOl4mdo3CL1WrYxdv2NsDJ9szsJiczAwwrvdpXApxbUs25sPwNPT4zp9VFJnsvLg4r3YHBKX9Q9RWiuFc8/MAaFcMSAUu0Pi0W/3YbLaO/X4uyd0x0WnISm/hg1Hytq8zy2jolGp5JZtvVbNoEhvbA6JJbvzucY5DXXJ7nyGd/MlyNNATZMVs82Ov7uB6kYrm9vJqlyMRPAhCMJZ1XzkMndIuFJoenm/ENRqlVL7ceOIaL7ZmYvZ5qBfmBc9Az340hmY3D8xtt2g4r8rU5EkuQV3QIR3p9/bv35OJq+yiXAfF16c00/UeZzjnpsVT6CHgczyBmXUfkf5uxu43jky/a216W1mP6L83LjEOUL/i23ZzB8uZz++2ZnL9Phg3PQassob2JNbzSzniPXl+wq5rN/RYxhBJoIPQRDOmpyKBrZlVqBSwdS+wcov5/nDI/k+MZ8mq52eQe4MjvLhi23ZANw2JppF249usp0U1/ZRyo7MCtamlKJRq3jcucm0M34/VMySxHxUKnh93kA8jZ3vkBHOLC9XnTL99IONmRwqbHtyaXvuHBeDXqsmMaeK7ZltF4jecsycj4m9AvA0asmvamJ3ThWX95frQL7ddXS/y5rDpUxwttyuOlTc6YzMhUoEH4IgnDVLdstHImNi/dmZVYnJ6qBXkAeDIn34cruc2bhxZDS/HiiipNZMgIeBS/sEK5tuF4yPQa1unY2QJIn/OBe+XTs0otMDxcrqzDyz7AAAd4/vztBosRzzfDEtPpgZ/YKxOySe+n4/tk7UWQR5GpnnHJn+9rq2MyejuvsR4+9GvdnGykPFXO0sNv1qey7XDJVrPX49UESErwu9gjyw2B0U15oI83ahwWJnbUr7u84uJiL4EAThrLA7JJYmysHHNUOOFppePyKSzenlZJY34G7QcmVCmFJoetOIKH7dX0R5vZkQL6Pyl+af/X6ohL251bjoNDx0SecGikmSxNPf76eywULvEE8emdzzFK5SOBv+eUVfvFx0HCyoVTqdOmrB+Bi0ahVb0itIzKlqdbtarVLatRdty2H+cDn4WJtSQriPK90D3Giy2vntQLEyYv3HvQVcPsDZ9SJ2vQAi+BAE4SzZmFZGca0Jb1cdvm56jpTU46LTMDshTCk0vXpwOClFtezPr8GgVXPd8Eg+3CTvdLl1dHSbbbN2h6RMIb1jbDcCPTs3/nzxrjzWpJSi16h5Y95A9Frxa/J8E+hhVHb3vLb6CDkVDR1+bLiPK3MGyUHD22vbzn5cPSgco05NSnEdVY1WpdNlaWI+c5wj1r/fk88s5+6YHVmVDImSs2drU0upM1lP+touFOJflSAIZ0XzrpbZA8OUDMgVA0KpabSyJkXeXnvDiKPttVcmhHEgv4b00nrcDVplvfmfLd9XQEZZA14uOu50LgXrqILqJl745TAAT0ztJdpqz2NzB4czOtYPs83BP3461KndL/dMiEWtgnWpZW1uvPVy1TFrgBygLNqWo3S6fLc7j9kJYahUcsBhd0iMiJGDjiMldcQEuGGxOcTRCyL4EAThLKioN/PHYTnAmNI3iF8OyLtZrh8RyVc7cpEkuQ7EqFOz8qC8rfbW0fJQMYDrhkW0WQBqtTt44w/5r9UF42M6VSQqSRL/t+wA9WYbg6N8uH1Mt1O6RuHsUqlUPDcrHr1GzfrUMn4/VNLhx3bzd+My55Fe88/cn904Uj56+e1gESO6+eGm15BT0UhuRSOjnK3fP+4tUApPf04qVIaP/ebcwHwxE8GHIAhn3A97C7DaJfqHe3GooBaLzUF8mCc9gzz4dpfcbnvjyCg+35qNwxmIWO0OtmVWoFWruHV024HB0sR8cisb8XfXK10JHfX9ngJlfsNLV/Vvs5BVOL/EBLhzlzP79a+fD9FosXX4sQucj/vlQBF5lY2tbo8P8yIh0hurXeLn/YVc4Txi+W53HnMS5KOXZXsLmBYfjE6jIqW4jthAdwDWHynt1Hu5EIngQxCEM0qSpGNme0TwtXO2x/XDo1ixv4iqRiuhXkZGxPgpE0xvGxPNR85aj8v7hxDq7dLqeU1WuzLb4Z4JsZ0agV5aa+JfPx8C4JHJPZUPCeH8d9/EWMK8XSisMfF2J0avx4d5MbaHP3aH1G7R6g3HzPlo7nr59UARo2P9cXXO/Mgoa2B8zwAAMssaiPB1wWR1sD617UFmFwsRfAiCcEbtzasmrbQeo05NgLuBLGdXyxUDQlnknOVx/YgoftxbQJ3JRoy/Gz0CPVixXz6auWNs23Uci3fmUlRjItjTqAyL6ghJkvjrjwepNdnoF+bFnWPFccuFxEWv4R8z+wDw0aZM0kvrO/zYu8fLywoX78qlssHS6vbL+ococz7qzTZ6BrljtjlYfbhEGau+bE8+MwfIWZGfj9n18qvzqPFiJYIPQRDOqOZC0xnxIfzsHCo2OyGUtNJ6kvJr0GvUXDMkgoXOQtNbR0fz+dZs7A6JUd39iA/zavWcTRY77zi33d4/KRajTtPh9/PrgWJWJZeg06h4eW5/tCexeE44t13aJ4hJcYFY7RL/WpHc4eJT+efNE5PVoQy5O5ZRp1G6WxbvzOUa54yQb3flcrXz+z8nFTKuRwBGnZrsikYifOSs3bqU0ot64Jj4VyYIwhnTYLYpAcelfYJYlSwX3s0fFqX8cr+8fwj786vJrmjE06hlSt9g5filve6Vr3bkUFZnJtzHRfkA6Ihak5V/Oo9b7pkQS1yw58lemnAOU6lU/GNmH3QaFRuPlHX4yEOlUrFgnJz9+HxrNk2W1sHCtc59P6uTSxjXMwCdRsXBglp83PSEeBmpNdnYkVXBJb3lsew5FY2EehlpsNjZdBHvehHBhyAIZ8wvB4posNiJ8nOlsMaE1S7RL8yLIE+Dcqxy48go5Yz9umGRLN9XQL3ZRo9AdyY4z86PZbLa+cDZkfDApNhOzeV45fdUyurMxPi7ce+E7l1whcK5KsrPjduchcrP/ZLc4Q2z0+ODifR1parRytI9+a1ujwv2JMG5YG7N4VImOkep/7C3QClCXb6vkJnO7plfDhQxpW9z18vFe/Qigg9BEM6YpbuPTjRdsjvP+d/hfLc7H4tzaZyLXsPWjAo0ahXzh0eycEs2AHeOjWlzsdu3u/IoqzMT5u3Clc4ug47Yl1fNIucI9+evjO/UUY1wfrpvUix+bnoyyxqU8f0notWouW10NAALN2fhcLQ+srluqFxj9O2uXOUYZtmeAi7vJwcca1JKGRzlg4dBS1GNiQAPAwCrD5dgsXV8/PuFRAQfgiCcEXmVjezMrkSlgp5BHqQU16HXqpk5IFTZZnvjiChluunUvkHsza2mqMaEv7uBWQmtR6mbbXbe3yDXetw9PqbDWQ+b3cEzyw4gSTBnUBijuvt30VUK5zJPo47HpshLBt/4I42qNopI23L1kAg8DFoyyxtYf6T1gLDLB4TgbtCSXdGIUafGx1VHeb2Z8nozPQLdsdgcrEstVTIexc4ApM5kY0vGxXn0IoIPQRDOiB/2FgAwurs/m9LkM/dpfYM5VFhLbmUjHgYtE3oF8KPzfjeOiFYGPN06OhqDtnVmYtmeAopqTAR6GJjbiVqPhVuyOVxUi7erjr/M6H2qlyacR+YNjSAu2IOaJitv/HGkQ4+RJ+rKP19ttd266rXKKPVlewqY5RwstnRPvrLfZfm+Ai7rLwcfq5KLubSPXAOy8iIdOCaCD0EQTjtJkljmPC+f0S9ECTCuGRKhZD1mJYSy8lAxjRY7sYHuOCSJ5KJaXHSaNltnrXYH766X5zYsGN+9w8cmRTVNvO780Hlmehx+7oZTvj7h/KFRq/j75XLr7Vc7csku79jel5tHRaNWwZb0ClKKa1vdPs85Yv33Q8VM6SsHFquTS5QZH1szKugR6IGHQUtJrZkQ586hVcnFndq8e6EQwYcgCKfdnly5e8VFp0GtglqTjTBvF+JCPFjlHHt97dBIFjmPXG4YHqm02l4zJBxvV32r51y+r5C8yib83fXMb2fPS1te+OUwjRY7g6N8mDu449kS4cIxKtafCb0CsDkkXl6V2qHHhPu4KjM6Pm0j+9EvzIsegfKcj5yKRnoFeWCxOUjKr2ZwlA+SJAcmk3rLBamVjRZ8XHVUNVrZkVXZdRd3nhDBhyAIp90Pe+Wsx/T4YGWPy1WDw/lhTwEWu1xo2mC2kVYqb7Yd2s2XNc7lWze3MSbd7pB4d52c9bhjbAwu+o5lPbZmlLNifxFqFfxrVl8xQv0i9tS0OFQq+GV/EUl51R16zG1jogH4cV8h5fXmFrepVCquGuzcaJuYz1WD5eMW+RjmaNdL836XVYdKmNLH2fVy8OLrehHBhyAIp5XZZufnJPmX6/AYXzanywV2Vw8K5xvnHpdrh0UonSezE0JZvq8QSYJxPQOICWg96nzF/kIyyxvwdtVxw4ioDr0Pq93BP3+SZ3pcPzyKvqGth5UJF4/eIZ5c6azHePG3wx0aPDYo0ocBEd5YbA5lRcCxrkwIQ62C3TlVDAj3RqWCROd/a9QqDhTUEO3vhotOQ0F1ExG+8sCxlQdLsLfRRXMhE8GHIAin1bqUMmqarAR5GiioNiFJ8uTI4loTmWUNuOg0jOruz++H5MK7qweHK7/Ybx7ZOrBwOCTecWY9bhvdDXdDx3a4fL41myMl9fi66XlsSs8uujrhfPbYlF7otWq2Z1ay/siJB4+pVCpucga7X+/IbRUwBHkaGdtDrvHYnF7OyBh5u+2WjKP/veZwKRPj5PvUNFnxMGoprzeTmFPVZdd1PhDBhyAIp1VzoemsgWHK8cs1QyJY7Cw0nTkghF/2F2K1SyREenOkpJ6aJiuRvq5McA5sOtaq5GKOlNTjYdC2eSTTltI6E2/8IS+de3JqrzZrSISLT5i3ixLgvvRbSpszPP7ssv4heLvqKKhuYl1K67bb5qOXZXsKuNw5WOynfYVc1v/oTpdpztqRPw6Xcqlz8unFtutFBB+CIJw2VQ0W1qXKv6BDvYzkVTbhYdQysrufUvsxb2gEX++QA5Ebhkfx+dZsAG4aGYXmTzUZkiTxlnMz6S2jo/Fy0XXofby8MpV6s40B4V6dGr8uXPjumxiLh0FLSnEdvx08cdurUadhnvNnaFEbg8qm9AnCw6iloLoJXzcdOo2KlOI6ov3c0KhVHCqsJcbfDb1WTVZ5AzEBboDcGdPRnTMXAhF8CIJw2qxwZjT6hnqSlF8DwBUDQvntQBFmm4O4YA8qG6wU1pjwcdUR4GEgpbgOF52mzbkda1NKOVRYi5teo4zKPpED+TXKWOx/XCGKTIWWvF313O7cZPza6tQO1V7Md7Z+bzhSRk5Fy1Zdo06jZDxWJZco2bvN6WWM6u6nPG6c83im1mTDoFVTUN1ESnFd11zUeUAEH4IgnDbf75HneVzaJ0hJK88dEqEsirt2aIQy5vqaIREsdhagXjkorFVWQ5Ik/ufMetwwMgoftxMfnUiSxHMrkpEkmD0wlEGRPl1zYcIF5bYx3fBy0ZFR1sDyfQUnvH+Un5syv6M5a3esq52dLisPFjPZ2Vr7U1Kh0qr764EipetlfWopY2LlCbtrDpec+sWcJ0TwIQjCaZFZVs++vGo0ahUqVJhtDnoGuSNJEinFdRi0agZF+bDBWeg3MS6Q350zP25qo9B0a0YFSXnVGHVq7hjT9nbbP/vtYDE7sysx6tQ8OS2u6y5OuKB4GnUsGC//TL3xR1qHls7d6Cw8/XZ3HiZry223gyJ96ObvRqPFjsUu4arXkFfZRJCnQTl66RHkjk6j4khJPd385aOXPw63riG5UIngQxCE06J5nPq4Hv6sddZ9yIWmctZjRr8QfnFush3fM4BNaWXYHRIjYnzbXG3fvMNl3pAIZTHX8Zisdv7962EAFozrTqi3y6lflHDBumVUNP7uenIrG/k+sfX22j+bGBdImLcL1Y1W5ee4mUql4qpBcvbjl/2FTHXudNmUVq4cvcj/LWc8zM7lckn51ZTVtZwfcqESwYcgCF3O4ZBY5jxyiQ/zIimvGq1axaV9gvh5fyEgL3T7TtlsG8E3zqDkljY6WJILa9mUVo5aJQ8V64hPt2SRX9VEsKdR+atWENrjqtdy9/juALy1Nv2E22abty4DfLmjdeHplYPCUalge2Ylg6Lk474VxwQixx697Mmtol+YF5JEmx00FyIRfAiC0OV2ZVdSUN2Eh0FLbZMVgElxgWxJr6DRYqd7gBultWaqGq2EebvQYLFR2WAh1MvIZGfr4bE+2iQvmJvRL4QIX9cTvn5FvZl318mZkqem98JV37FZIMLF7YYRUfi7GyioblLawo/nmiER6DQq9uZWc7CgpsVtYd4uymyPslqTc9OtBQ+jVjl66RnsgVqF/N9BHgCsvkjqPkTwIQhCl2vOekyND2alc3jYVYPDlSVy1w6NVP5avG7Y0aLTG0ZGodW0/LVUUN3ET0lytmTBuO4dev231qZTb7YRH+bJrAFhp35BwkXBqNOwYJycJXtnXcYJF74FeBiUmR1fttF2e7Vz5sfypEJm9JPvd+zRy7aMCkY4AxSbQ36tzWnlrWpILkQi+BAEoUuZrHalsyXY00hJrRlvVx3BnkYOFNSg06joG+rJ3lz5KKZnkAf782vQa9VcO7T1grhPN2dhd0iMjPGjX/iJR6LnVjTylTOweXpab9FaK3TK9SMi8XWTaz+W7ys84f2bC0+X7yukxpnlazYtPhg3vYacikYlY/f7wWIuiZM7YI49esmpaCTEy0iT1c62jIquvKRzkgg+BEHoUmsOl1JnlrfW5lc1AjCzfyg/7jvadrsquUT57+ZhY1cMCMX3T+2zNU1WZRLqXR2s23h1dSpWu8TYHv6M6eHfJdckXDxc9VruHNuc/Ug/4dyPodE+9Axyp8lqV6b5HvtcU5w1HkXVTYR6Gakz29BrNUePXpzHLUn51fR3Btd/XARHLyL4EAShSy0/Jshobp29vH+I8lfkFQNClU6Yyb2Pzv9oq9D0qx05NFjs9AryYIJzrsLxHCyoUV7nKdFaK5ykG0dG4e2qI7O8gRX7j5/9UKlUSvbjy+05raaUzhzgnO1xsFgZsb4p7ejAsd05R4tNmyf6rjlcesFPOxXBhyAIXaamycr6VHluh0Grpslqp5u/G1WNFiobLAR6GGgw26lpkgtNi2tNWO0SAyO8iQ9reaRittlZuCUbgLvGxaBSnfj45KWVKYAc4Pz5+QSho9wNWmWC7nvrM04YCMxOCMNFpyGjrIE9udUtbhsTG4CXi46yOjNBnkYA1qSUKkPKfj1QxCXOQWQNZjuueg3FtSYOFdZ28VWdW0TwIQhCl/n9YDEWu4NeQR7KL88rE8JY6pybcOWgo/991eBwZaLp9cNb13r8uLeAsjozwZ5GZg4IPeFrb04rZ1NaOTqNisen9OqqSxIuUjePjMZVryGluI6NaeXHva+HUcf0fvLxyhJn+3gzvVbNDOdt6aX1xAS4YbE50GnURweOBcpHLzuzKhka7Qtc+EcvIvgQBKHLNHelDI/xZUuG/At7TA9/1jmzIUOjfNmWWYFKdXTRnKdRq+zCaOZwSHy4UW6vvW1MNHrt8X9VORwS/1kpDxS7fngUkX4nbscVhOPxctUpBdAfOAfcHU/zwsIV+4totNha3DbT+fO98lCxssV2e2aF0oqbX3W02NTNoAHko5cLmQg+BEHoEqW1JrY6Aw6HJCFJcjFeYnYVdod8tJKYWwXIE02bt93OGRSOi17T4rnWppSSUdaAh0HLdcNaZ0X+bMWBIg4W1OJu0PLApNguvjLhYnX72G5o1Cq2ZlRwIL/muPcd3s2XSF9X6s02fjvQcjvu8Bg/AjwMVDdacTfIM2fWpZYqBdF/HC5hkrMDxu6QUKngQEENJbWm03BV5wYRfAiC0CVW7C/CIUFCpDe7suQg48qE8KNHLsccv0zsFajssWjryKU56zF/eCQeRl2r249lsTl45fdUQK4N8XM/8eh1QeiIMG8XZjqLRD/YePzsh0qlYq5zrseSxJZHLxq1isuccz4yyuoJ93HBZHWgd860ScypUpYeJuXVMCDcG7iwsx8i+BAEoUs0H7n0CHQntaQOvVZNpK8rqSXyEjk3g5ayOjP+7noq6s3YHRLDon3p4Ww1bLYnt4qd2ZXoNCpudRb9Hc83O3PJrWzE393A7WNOfH9B6Iy7nIPtfj1QRF5l43Hve9XgoyPVcyta3re5bml18tEsx768auLDPHFI0Gg9Wmwa6u0sTL2A6z5E8CEIwinLqWhgX141ahXKTozJvQNZlSynn6f2DVZaao/NgMxvI+vxkTPrccWAMIK9jMd93Xqzjf+tSQPgock9cDOIMepC1+oT6sm4ngE4JPjYOea/PaHeLoyJlY9Slv4p+zEo0tu5SsCOUScfM649putlQ2qZ8tjm2SJbMyow2y7Maaci+BAE4ZT95JytMSLGj83p8nTGy/qFKjM3xvTwZ72zxiPI00hhjbzrYppzumOzvMpGfneOY79z3ImzGJ9syqKiwUK0nyvXDo3osusRhGM1j1z/dncelQ2W4963ufB0aWJ+iwFlKpVKyX7kVDQQ7Gmk3mxT9g5tTi9jtDP4KKhuIsDDQJPVzu7sqi6/nnOBCD4EQTglkiSx3Hnk4uump7zejK+bHpvDQU2TlRAvI4XVTTgkuShvq3N09NWDw5W/AJst2p6DQ4LRsX7EBXse93VrGq18vFn+S/TRKb3QacSvM+H0GNXdj/gwT0xWB4u2td7hcqxL+wThadRSWHO0ALtZ88Cx9allSrFpVnnD0RoQrRqVCg4W1BIXLB9HbjhSdhqu6OwT/1oFQTglh4vqSC+tR69V02iRU8Qz+4coU0xnH3PMMu6YLpc/d7E0mG3K4rnbOlDr8cnmTOpMNnoGuXO5s5hPEE4HlUqlLDX8fFs2TZb2j0KMOg2zE+Rlht/tbjluvU+IJzEBbphtDrTOaaark0uY2EuuAdmTU8XACG8AbHY5a7JRBB+CIAitLU+Sgww5qyH/pTc61l/5pRnqZSS/Sp7nUdNkRZLkvyRjAtxbPM+yPfnUmWxE+7kqv4zbU9Vg4VPn9NNHJvcUy+OE0256fDDhPi5UNlha1XP82dzB8tHL74eKqWk8umxOpVJxhfPopbDGhL+7npomKx5G+ehlTUqp8rNvstlRqSCluI7imguv5VYEH4IgnDSHQ2JFklxIqteoMVkdxAS4kVHWgEOCIVE+bM+qBODyAaH86MyGXD88qtXzLNyaDcDNo6JPGEx8tCmTerON3iGeTO0bfNz7CkJX0GrUysK5jzZlHXfhXHyYJ3HBHlhsDn5yBufNmgfqbU0vZ1g3eZppeb0ZLxcdlQ0WfJzLFZMLa+npnHx6IWY/RPAhCMJJS8ytoqC6CXeDVlknfuXAMOUvw0t6B7HKWUAa4G6g1Nlqe2mfoBbPszGtjMyyBtwNWq52zkpoT2WDhc+cgcrDk3uIrIdwxswdEo6Xi47cykbWpbQ/g0OlUimFp38+eokNdKd3iCc2h4RWLX8EH9v1klsh14CYbQ5l0dyGNBF8CIIgKJo32CZEerPHOb000s+VjLIGjDo1NrsDq12if7iXcvs1QyJajUtvPkK5ZkjECYeKfbAxg0aLnb6hnkz5UxAjCKeTq17LPGdX1efbso9739kJYWjVKg4U1JBeWtfitmnObF1NkxUvFx3l9RZ8nRmP1cklTHaOYG/OrmxOK8dmd3TlpZx1IvgQBOGkWO0OfnWOkdaqVcp00+bWwOnxIfx2UL59eDdfNqWVo1K1LjRNL61n45EyVCq4ZVT0cV+zrM7MF1vlboNHL+3ZoU23gtCVbhwRhUoFm9LKySirb/d+vm56JZvR3HLerLnFfFtmBaO6y/tdGsw29Fo12RWNhPu4AFDdZFFqpZJOMN79fCOCD0EQTsrWjAoqGyz4uekpr5dnH8yID+Hn/fIv2l7BHiQX1aLXqGmyyt0BY2L9ifBtufTts61ZAFwSF3TChXAfbMigyWpnQLiXMiVSEM6kCF9XLnH+7J2o7XaWs+tl+b5CJOlojUjPIHe6+cvbbZvbzTellSuBSE2TFYNWTUmtmRAvORC50Oo+RPAhCMJJ+cUZZPQJ9eRAQQ1qFbgZtFQ3Wgn0MFBU3QTApLhAVifLY6Kbt4Q2q2m08n2ifHRz25jo475eaa2JRdvlX/aPiKyHcBbd7MzQLU3Mp95sa/d+l/YOwlWvIbeykb151cr3VSqVUigtDxprHqvuDDTSyhnu3Hjb7EKb9yGCD0EQOs1ic/D7ITmgcDj/ohsd688mZ2HcjH4h/Lxf7oIJ9DRQUmvGx1XH5D4tsxWLd+XSZLUTF+yhrBdvz3sbMjDbHCREeivpbEE4G8bE+hMT4Ea92cb3ifnt3s9Fr1GCjOV7W3a9NB+9HNv10iwpr5q+ofKQveZ/X0n51VSdYLrq+UQEH4IgdNqWjHJqmqz4uxsoqpZnEEzoFahs4WxuGwz0MFDozIDMGRSOQXt0oqnN7uALZ9r61tHRx81kFNeY+GqHPIBM1HoIZ5tKpeLmkdGAXHh67JHKn80aKLfWrthfhPWYotH+YV6EeBnlXS/Ofxf78+VFcwDNP+E5FY1E+roiSbA5veXE1POZCD4EQei0X5xZjWg/VzLLG9Br1TgcEha7g15BHhwqlIvjxvUMYH2qnA2Z96fdK6uTSyiobsLXTc+sgWHHfb1316djsTkYGu2jLN8ShLPpqsHhuBu0ZJY1HDcoGBPrj5+bnooGC1uOuZ9affToxWJ3HDNWXQ4+ciobCfN2wWJ3YNTJH9UX0tGLCD4EQegU+chF7mKxOVsBJ/c+Wtcxtoc/65wBh8p5n4RIb3oGebR4noXO9tr5wyJb7Xg5VmmticW75Lkhj0wWWQ/h3OBu0HLVIDlo/nxr+4WnWo2ay/vL4///3PXSHHzsya2if5gXcPSYZdORMkbHykeRKmceZMORsuNmWc4nIvgQBKFTNqeXUWeyyUcuNfKRyqBIH3ZmV6JSgYQ8n2BAhDeJOXLb7bwhLbMeh4tq2ZldiUat4oYRUX9+iRY+2pSJxeZgUKQ3I7sfvy5EEM6kG51HL2tSSsirbGz3fs1dL78fKm6xF2ZotA++bnqqG63KfJvyegverjpqTTa8XOTvNRelltWZSSmua/0C5yERfAiC0CkrnEcuAR5yIamH8eh001Hd/dicJqeWY/zdyCxvwFWv4XLnPotmzbUeU/sGEexlbPe1KhssSq3HA5N6iKyHcE6JDXRnbA9/JAmlE6stCRHeRPq60mixs/pwifJ9rUatDMprrgfZnlnBkCi5ALV5AV1BdZPy76R5K/T5TgQfgiB0mNlmZ7Wzy8XukH9ZTusbrNSA9Aj0ILWkDoNWTYOzBfHy/iG4G7TKc9Q0WZUdLzeOiD7u6y3ckqVMM53QS3S4COee5sLTb3flYbK2ve1WpVIphad/7nqZ6ux6ya5okGs8bA50GjnI3p1dxaAoH+DoltutF0jRqQg+BEHosE1Hyqkz2/Bz0yubNqOdGQ6jTk2dSQ445LZb+ZfknwtNv0/Mp8lqp2eQOyNiWrYYHqvWZFV2uNw/MVZkPYRz0sS4QMK8Xahpsiq1UG1pDj42HClr0TI7qrsfHgYtJbVm/D0MAFjtEioVJBfV0jtYrpVqHq++I6vyghi1LoIPQRA67JcDcobD3ail1mQjwONo3cfEXoH84UwpG7TyVNPYQHcGRfooj3c4JL50pqflMdXtBxSLtuVQZ7IRG+guNtcK5yyNWsXcIfIyxG925rZ7v9hAD/qGygvlmv8dARi0Gib1luffNGcT9+VV0c9ZgNpcXlrZaMFNr6HebGN/wfk/al174rsIgiCAyWpXOlqaU8DT44OVGhBPo46aJishXkbyq+SAZN6QiBYBxpaMcjLL5e21Vw5qf3tto8XGJ5vlsev3TewuNteeIqvdQXGNiaIaE5UNFhotNhosdmx2B1qNGr1GhYtei7+7ngB3A8FexhMu+BOOumZIBG+uSWN7ZiVZ5Q1083dr836zB4ZxqLCWn5MKWxRaT+kTzPJ9hdQ22fAwaCmvt9A3VA4+SmvlTdDl9RZ8XHU0WOxsTS9vEdSfjzodfGzcuJGXX36ZxMREioqK+OGHH5g9e7ZyuyRJPPvss3z44YdUVVUxfPhw3nnnHfr27duV71sQhDNsw5Ey6s1yBX5FgxkAb+cwMX93A0W18jFM31BP/jhcilat4spBLed3NBeazhkU1qIO5M++2ZlHZYOFSF9XZvYPbfd+Qmu1Jiu7sytJyqvhcFEth4trya9qorMdmkGeBmID3YkL9mRwlA+Do3wI8my/OPhiFurtwnjnTJvFu3J5ZnrvNu83o38IL/x6mF3ZlZTVmQlwHrOM6+mPVq0it7KR+DBPDhbUKi23W9LLmRAXyM9JhUfrPjIquH9SjzNzcadJp4OPhoYGBgwYwK233spVV13V6vb//ve/vPbaa3z22Wf07NmT559/nksvvZTU1FQ8PDzaeEZBEM4HzUWlBq2amiYrUX6uZJQ1ADA61k/JgDTP/ri0TxD+7gbl8QXVTaxxHsvceJz2WrPNzocbMwC4Z0J3tBpxOnw8DofEvvxqVh0qYWtGOQcLanC0EWjoNWpCvI34uelxM2hx02vRalTY7BJWu4N6s43yejPl9RZqmqyU1JopqTWzJb1CyUJF+7kyKS6IS3oHMjTaF71W/G/T7NqhkaxPLeP7xHweu7RXm/+/CfN2YUCEN0l51fx+qFjJfngYdQyP8WVLeoUy06Ok1qQMJ2sO1K3OY5ndOVWYrPbjzsc513U6+Jg+fTrTp09v8zZJknjjjTf4y1/+wpw5cwD4/PPPCQoK4uuvv2bBggWn9m4FQTgrTFa7Us/R/Lk2oWeAMvxLo1Jhd0j0DfVkn3OB1jV/KjT9ekcODglGxvjRI6j9P0SWJuZTUmsm2NPInEHHn3x6sZIkiYMFtSxNzOO3g8WU1plb3N7N341BkT70CfWkd4gHsYHu+LsZOnx8VdNkJaOsnvSSeg4U1LA7p4rU4lqyKxr5dEsWn27JwsdVx8wBocwZFM6AcK+LviD4kt6B+LsbKK83s+ZwCdP7hbR5vxnxwSTlVfPbwaIWRy+XxAWxJb0Cu0NCo1ZxpKSeYdG+VDRUYrHJQYfJ6kCvVWOxOUjMqWL0eTztt0trPrKysiguLmbKlCnK9wwGA+PHj2fr1q1tBh9msxmz+eg/nNra2q58S4IgdIH1qaU0Wux4GrXUNMozPXQaNWabg9hAd1JL5MFHXi46DhXWEuRpYFyPo62xZpudxTvlQOWmke1nPax2B++tl7MeC8bHtNgFI8jDppbuzmPxrrwWw6bcDVomxgVySVwgI2L8jjs7pSO8XHQMivRhUKSPEkTWmaxsSS9nzeFS1qaUUtFg4YttOXyxLYe4YA9uHR3NrIFh5/Vf46dCp1Ezd0g4763P4Jtdee0HH/1CePG3FLZlVFBRb8bPmR28pHcg/1qRzJGSOnoEupNSXEdzPHeosIZeQXIbe3OItzWjXAQfzYqL5TajoKCgFt8PCgoiJ6ftASwvvvgizz77bFe+DUEQuljzkYpeq6HWZKN7gJsScPQO8eTnpEK0apUy52DOoHA0x/yV/duBYioaLAR7Grm0T1DrF3D6aV8h+VVN+LnpuXZo5Gm8ovNLYXUTn23N5psdudQ556fotWqm9g1mTkIYo2L9Tnug5mHUMS0+hGnxIdjsDrZkVLBsTz6/HyompbiOp74/wEsrU7llVDS3jo6+KAtWrx0awXvrM9iUVkZeZSMRvq6t7hPh60q/MC8OFNSwKrmE64bJP+dRfm7EBrqTXlqP2hl1OCQJtQpSiuuYHh8sBx/Of1Zb0it4YuoZu7Qud1oO7P6cfpMkqd2U3DPPPENNTY3ylZeXdzrekiAIJ6nJYle21TYfuozs7qdMWmxuD+wX7kVSvtwCeNWfOlm+2JYN8P/snXd4VAXWxn93anrvPSGBhJJC76BgAQsKioio2Htd11V313Xd/XZdy669NywINhQLUgTpLZQkBAhJSO89mUmm3++POzMkpBAggYD39zx5opl2E6ace8573peF46K61XDYbCJvb5S6HrdNicVV8/s8g25PeWMbT63IYurzG3h301FajBbiAt35+5XD2P3UTF67Po0LEoPOeIdIpVQwbXAgryxIY+dTM/nz7CTCfVyp15v479ojTP7PBl5fn+s0mvu9EO3vzsRB/ogifJXe/WfZrBHS6vjP7VZuAWYkSiu3FvtrKru8maFhUtCcQzDs+J5Z2kizwdyXh39G6dPiIyRE+oM6OiAOqqurO3VDHGi1Wry8vDp8ycjIDBw25FTTZrbi6aKi0T5yEZA0HskR3uwrbgRAYdd9pEX5EB/k4bz9gbIm9hY3olYKLBgb2dVDALD+cDW51To8taoT5r2c79TrTTyzMpvpL/zG0p3FWGwi4+P8+HDxaNY9Mo2bJ8bg7TYwOgvermrumBrHxj9O55UFqQwKdKepzcyLa45w4Uu/8c2eUmxdKWDPUxbYOxlfppdi7eb3nj1cGslsy6/rYDg2I0n6nKxqNuLnrqHVZMXFXliarTaUCgGjRdJ92ETYdbS+P3+VfqVPi4/Y2FhCQkJYu3at82cmk4mNGzcyceLEvnwoGRmZM4Rjy0WtVGCxiSSGeJJdLnU4gjxdqGgy4OWiot7+JnrNqI5dD4ep2KXDQwny7F6L4Oh6LBwfhdfvsGUPUmLw+5uPMu2FDXy8rRCT1cb4OD++vGsCy+6cwIWJwQPW80SlVDAnNZw1j0zjlQWpRPm5UdVs5A9fZXD1m1s5cB4YY/WGS4YF4+OmprLZwMYj1V1eJybAnaGhXlhtImsOHjtZHxnlg7er5Jfj2HCx2lsdGaWNDLcbjzmeAVvzz12r9ZMuPnQ6Hfv372f//v2AJDLdv38/xcXFCILAww8/zL/+9S9WrFjBgQMHWLx4MW5ubixcuLCvj11GRqafaTVZ+PWwfcvF/iaYHOHN3uJGFMKxMKyYAHcKavVoVAoub+fL0WIwszJDihFfNK57DUd6YT3pRQ1olApumxTbX7/OgGZbXi2XvLyJf/50iBaDhaGhXnx++ziW3TmBsbHd29APNJQKgTmp4ax9dCpPzErEQ6sio7SJOW9s5d8/H+qQ6no+olUpmZsmFeBf7ynt9nqznaOXY8WHSqlwZhg5LNSb28y4aZTU6kwEuGs63Mf2czhk7qSLj/T0dNLS0khLSwPg0UcfJS0tjaeffhqAxx9/nIcffph7772X0aNHU1ZWxpo1a2SPDxmZc5D1h6sxmG14aiU7dcDpIZEW5Ut6odT2dbSXLxkW4owBB/hufzmtJslmvacP0Lc3HgUk87Gg35mRVb3exB++zGDh+zspqNUT4KHlP/NG8MMDk8/pbQatSsnd0wax/rFpXJ4citUm8s6mo1z6yib2Fjec7cPrV+aNklbE1x2sdm6HHc9s+zbM1rzaDtdxjF5MVhuCAPk1emL8JcdUxxDHofs4XNlCna7jmvW5wkkXH9OnT0cUxU5fH3/8MSCJTZ955hkqKiowGAxs3LiR4cOH9/Vxy8jInAEcIxeF4piPR4bdx8NNo0RvshLi5UJZo2SnPq+dL4coiizdKWVdXD82qlvReW5VC+sOVSEIcMfUuH78bQYevxyoZOZ/N/LN3lIEQVpDXv/YNK4bE9VhW+hcJsjThdcXjuSDm0cT6u1CUV0r1769nZfXHTkvAtK6YmioF4khnpisNn7MKu/yOnGBHiSGeGI5bvQyLSEQpUKgVmfCx17IO9xO9UYLWpUCk13/AbC78Nws5GR7OhkZmS7RGy2sPyzNrB0jl4QgD3KrdWiUClrt7XNvVzWNrWaCvbRMaeftsb+kkUMVzWhUig5FyfG8u0nqelw8NJhBgR7dXu98otlg5tEv93P3Z3uo15sYEuzJN/dM5Nk5w89bvcuMpGB+eXgqc1LDsNpEXl6Xy/Xv7aDKbst/PiEIgtMg79u9Zd1eb5ZdeLrqwLHiw9tNzZgYKbfF0VF0fM8obSQ5wrvDz3YVnJuiU7n4kJGR6ZL1h6sxWmy4aZRObwmHdfqICG+nk6lDEHd1Wkdvj8/tXY/LR4Ti49ZxVu2goqmN7/ZLb853TxvUL7/HQGNPUT2zXt7Mt3vLUAhw7/RBrHxg0jkfFNYbvF3VvLIgjVcWpOKpVbG7sIHLXt1yTmsXumNOajgKAfYUNVBYq+/yOo6V2y15tR3WkmckSqMXx4jTYbVuMNs6mbjtKjw3/3Zy8SEjI9Mlv7Q7GxNFSGm3VisgnXlF+rlSYH9jvWbUse5GU5uZHzOldvPCHoSmH24pwGwVGRvrR9p5/uHr8DGZ/84OyhrbiPZ346u7J/D4pYm/OyfXOanhrHxgMokhntTqjNzw/g4+2lrg7LCdDwR7uTDZ3gn8dl/X3Y+EIA+i/d0wWWxsOlLj/LlDdGq0WNGoFDQbLHi4SNsvtuP+RgfLm2k5B/0+5OJDRkamEwazlQ050sjF0d4N9XalrLEND62Kxjbpzc7h7ZEa6UN80DFR+Yq9pRjMNgYHezAquuuioqnN7NSE3HOedz2aWs3ctmQ3z606jNUmcmVKGD89OIVR0efOFktfExvgzop7JzF3ZDg2Ef7+w0H+/N0B5wbV+cA85+ila68TQRC4yC4wXXuwyvnz+CAPQr1dMFtFtHZTPkeibVObGc92idA2UequnGvIxYeMjEwnNh6podVkRSGA0R5q5XBdjAt0J69a18FOvb23hyiKLN0lFRU3jIvuVmj62Y4i9CYrQ4I9nWd65yM5lS1c+cYWNuTUoFUp+PfcEbyyINXp4/B7xlWj5KVrU3hqdiKCAEt3FrP4o13ntHNney4eGoKHVkVpQxu7C7vWZjjiBtbnVDsFuIIgHMtGsr98HCcB2eXNJIV2NOM8F3UfcvEhIyPTCcfIxXGylhrpw177yMXxJhjkqaWq2YhGpeCKdt4ee4oaOFKlw0Wt4Kq0roWmBrOVj7YWAlKA3PmaiLoqq4Kr39xKUV0r4T6ufHvvxB43f36PCILAnVMH8d6No3HXKNmaV8eCd3ZQ3XLuC1FdNUqnn0d3wtNR0b74ukmi7fabK1MHdyzIq1oMBHhoEUUQ6dhFkYsPGRmZcx6Txca6Q1UdfubjpqZeb8LPXeOMb3cITS8aGtzB6tsxSrkiOayD50d7vttXRq3OSJi3C1ekhHV5nXMZURR5Y0Me93y+l1aTlUnx/vzwwGSGhXmf7UMbsMwcGszyuyYQ4KHhYEUz897a5tQTncvMtecc/ZRV4ewUtkelVHBhYufRy+T4ABQCtBgsuGuUiCKo7IJuk6XjaCqztKnL+x7IyMWHjIxMB7bm19JiOKa8F9o5mfq7a6hpMeKqVqKzX6f9yKWx1cSP9rCs7oSmNpvI+1sKALh1cizqboLmzlVMFht//DqTF1bnAHDLpBiW3DIWP/euN35kjjE83Jtv7plItL8bJfVtzH9nO7n29ORzlbExfoT7uKIzWlidXdnldRyjl7WHKp2iW283NamRPsCxQt/RMKtvNXUY25msNuf22bnC+fWql5GROW1+yer4BpkS4ePccnG8CToMxoI8tUxp58L5zd4yTBYbSaFezjfO49mYW0NetQ4PrYr5Y7oPmjsX0RktLP5oF1/vKUUhwD+uGs7frhjWbZKvTGei/d35+u6JJIZ4UtNi5Lp3d3CwvPlsH9Ypo1AIXG0fP/6Q0bXh2NTBAWhVCkrq28hpV2w5Ri8OsanZKqIQoKS+jQhf1w73ca6NXuRXhIyMjBOL1cba40YurmolrSYrAR5aqpqkObxj3e/qkeHOD1bJ0VQKkVs4rntdw/ubJVOxBWMizytDrXq9iYXv7WBbfh3uGiUfLh7Djb/zdN5TJdBTyxd3jGdEuLf0d31/B4crz90CZE6qNFrceKSmS7t1N42KyfYifm32sdefs/iw66xqdUZnB+34reTuBK0DFbn4kJGRcbKrsN6ZTgtSSJjJPnJx1SjQm6y4a5TOnJdrRh4buewsqCe/Ro+bRslVqV3rOA6WN7M1rw6lQmDxpJj++0XOMBVNbVz79jYyS5vwc9ew7M4JTB8SdLYP65zG113D53eMIzXSh8ZWM4ve33XOakASgj1JDPHEbBW7Hb3MtI9e2uutUiJ8OummHILv40Wne4oazqk1Zbn4kJGRcdLeWAxgWJgXmaWNANg3bRHs3h4pkT4kBB/z9nAITa9MCcOzm47G+1ukrses4SFE+Lr18dGfHQpq9Vzz1nbya/SEervw5V0TGBEhC0v7Ai8XNUtuGes0I1v0/k7K7TlC5xoOYfUPmV2PXmYkBSEIkFHa5LScVyoEJid0DBd0FB+tJita1bGP8FaTlexzaDwlFx8yMjKAJAQ9vvhQKgTMVpEgTy2V9jdEh9/HNe3yWur1JudtuxOaVjUbnDPv26ecHwFy2eVNXPv2Nsoa24gLcOfreyYSH/T7yKc5U3i7qfn0tnHEBbhT1tjGovd3UtNy7iW5Xp58LMW2tosk2iBPF6dOqv3Wy7SEjiu3ZquIIEBpQxvhx+k+0s+h0YtcfMjIyACwr6TBuUYLUuFhNNuc/221iWiUCgxmG2qlwOXtvD2+3lOCyWpjRLg3yRE+Xd7/km2FmK0iY2J8uxWjnkukF9az4J0d1OpMDAvz4su7JxDu43riG8qcNIGeWj67fRzhPq4crdVz04e7uo2qH6hE+7uTEuGNTZT8X7pipt3tdIM90BE6+320mY91PI7XfewtPnecTuXiQ0ZGBoBVx225DA72dIr8HK1eh9D0giFB+DqFbyJf7CoBuu96tJoszqC586HrsaeogZs/3EWL0cLYWD++uHM8AR7as31Y5zVhPq58dvs4Ajy0HKpo5tYlu885bwvn6CWj6+LjArtOaFt+nfN3C/F2YXBwx26aYwR6fM7L3qLGPjza/kUuPmRkZBBFsUOsN0iuzjYRAjw6G4vNbTdy2Z5fR0GtHg+tiiu7MQz7Kr2UpjYzMf5uzrO7c5XM0kYWf7gLvcnKxEH+fHLr2PNqa2cgExvgzme3j8XLRcWeogYe/zrznAqju8w+etlVWE9FU2ftSlKoJ8FeWtrM1g6rsxMHddR9OEafZovNaTwGUNlsOGc0MXLxISMjw4GyZsravWkpFQJGi3Tm1f69XRSlWPQLEo9tcizbLXU9rkwNw72LvBKrTeTDrcdMxZSKc9da/EBZE4ve3+nseLx/8+hOEecy/UtiiBdvLRqFSiGwMqOcV37NPduH1GtCvV0ZGyOFCf6U2bn7IQgC0wdLr63fco6l3E4c5N/heo7Yg/ImA8FeLh0uO1dGL3LxISMjw6oDHd8IY/zdyK+R1hqPX9+7LDnUGQHf0E5oev2Yrkcuaw9WUVTXireruoMb6rnGoYpmFn2wk2aDhdHRvny0eAxuGjkc7mwwKT6Af1w1HICX1+Xy/f6uc1MGIlekSN2P7gzHLkiUNB6/5RzTfYyL86e3NbvDEHCgIxcfMjK/c0Sx85aLo9nh6aJyeno4mNsuLO67/WWYrDaGhnoxPLxj0qaDD+zrtTeMizpnP6xzq1pY9P5OGlvNpEb68NEtY7rs8sicOa4fG8UdU2IB+OPXmewpOjc2PWaNCEWpEMgobaKorrNvyaT4AFQKgaO1eufl3q5qhod3vb7t0GM5kDsfMjIy5wRHqnQcbWfepGiX5WI77o0tys+NUdG+gFS0LLMLTReMjezS0XR/SSO7CxtQKwVunhjTT79B/1JYq+f693ZSpzcxPNyLJbeO7dbHRObM8sSsJGYmBWOy2Ljzkz2U1Lee7UM6IQEeWibESWOU43VWAJ4uakbHSK+xjqOXgE7XBZwmgA6yy5qdI9OBjFx8yMj8zjl+5BLu60pJfZsUKHdc8XFVWrizyMgobSKnqgWtSsGclHC64j27lfqVKeGdZtPnAtUtBm76cBe1OiOJIZ58dtu4bpN6Zc48SoXAKwtSGRrqRZ3exL2f7z0nNmAuHR4CdDb1c+Bwx93QbvRyvO7DQb3ehJdLx5C5A2UD32xMLj5kZH7nHP8G6FjjUysVnaK7r243clm+W1qdnT0iFG+3zh/IJfWtTj+D2ybH9uUhnxFaDGZu+Wg3xfWtRPm58cltY/Fxk5NpBxruWhXv3TwaXzc1WWVNPPvjwbN9SCfk4mHBCILUGexq68Wxcru93crt6Bhf1MreCT/2nQOjF7n4kJH5HVNQq+dw5bEUTaGHkUtalA+xAe4A6I0WVu6XBHMLukmm/XhbITYRJscHMDSsaz3IQMVosXL3Z3vILm8mwEPDJ7eOJcjz3Ovc/F4I93Hl5QVpCIJk8//t3tKzfUg9EuTpwmj7+HJ1F92PwcEehHq7YLTY2H60DpDC59Iifbu8v3PRbExWTMnI/I45fuQS4KF1enpYjis+2gtNf8wsR2+yEhvgzthYv07322Iws9y+gnvblHOr62Gzifzhywy25knptB8tHkuMveg6V7DZRArr9Byp0lFUp6ewrpXqZgO1OiP1rSbaTDYMZis2UUSpEFArFXi6qPB2VePvriHMx5UIXzcGBbozJMSTSF83FAN8RXra4EAevDCBV37N5akVWQwN8yIxZOAWvZcMC2F3YQO/ZFeyeFLH14ggCEwfEsQXu4rZmFPj7IRMGOTPri4s1M9FszG5+JCR+R3TaculG7+m4+3UHd4e143pWmj6VXopOqOFQYHuTD/OHnogI4oiz/54kB8zK1ArBd6+cdQ5ERKnM1rYXVjProJ60gvrOVjejN50ctqH9mnGx+OhVZEW5cPIKF8mDvJnZLQvauXAa5w/OCOBvcUNbM6t5d7P9vL9/ZMGrDj4kmEh/POnQ+wqqKdOZ8T/OIfc6UMCpeLjyDHR6aT4gC59TYwWKfLAbJVewA6zsbABbPcvFx8yMr9TShtaySxtcv5/+5HL8UxvZ6eeU9nCvuJGVAqhg9OpA6tNZMn2QgBumRTbZXEyUHln01E+3lYIwEvzU5mSMHALp+K6VtYcrGT94Wp2FdR36lS5qBUkBHkSG+BOjL8bId6uBHpq8XNX46ZR4aJWohQELDYbZqtIi8FMU5uZ6hYjZQ1tlDS0klulI69Gh85oYXNuLZtza3nl11w8tCqmJAQwa0QoMxKDBszasSRATePyVzdztFbPE99m8fr1aQPyORjp58aIcG+yyppYe7CKBWM7+uRMGOSPUiFQUKuntKGVCF83UiN9cFFL+UrtsdhEXNQKZ/EBkp5ELj5kZGQGHMd3Pbxc1DS1dR3WNbeD0FTqesxICupSB7H+cDVFda14uai6LE4GKr8cqOC5VYcB+OvlQ7u1ij+b1OqMfLevjB8yK8goaexwWZSfG+Ni/RgT60dqpA9xAe6o+qA7YbHaOFKlY09xA7sL6tmSV0u93sSqA5WsOlCJVqXgkmEhXDcmkglx/md9POPnruGNG0Zy7dvb+SmzgguGBA1Yc7tLh4eQVdbEL9mVnYoPLxc1KRHe7C1uZGteLdeNiUKjUjA62o8tebWd7uu42pOssiZmjwjtz8M/LeTiQ0bmd0rnLZeuZy5eLiouTJJmzkaLlW/3SWK+Bd04mn5kt1K//hwyFcssbeTh5fsBWDwxZkBt54iiyNa8OpbuKmLtwSrn2a1CgPFx/sxMCubCxKB+06WolAqGhnkxNMyLG8dHY7OJZJU1seZgJT9lVlBY18rKjHJWZpQT7e/GzRNimD8mEo+z2A1Ji/LlkYsG88LqHP72/QHGxvgR5e921o6nOy4ZFsILq3PYmldLs8HcKSNockIge4sb2ZJXx3X219uYmK6LD457+R4oa+p8nQHEufHOICMj06dUNxvYc5wi3mzreuRyWXKY0059TXYVja1mQrxcOkV9g2RBvi2/DqVC4KYJMX1+3P1BRVMbty9Jx2C2MX1IIH+5LOlsHxIABrOV7/aV8eHWAo5U6Zw/T4nwZu7ICGaPCCXQ88wn6SoUAimRPqRE+vDYxUPIKmviy/QSvt9XTlFdK8/+eJD/rT3C4kkx3D4l7qz5otw9bRAbj9Swq6Ceh5fv48u7JvRJJ6gviQ/yICHIg9xqHesPVXNVWsdO4eT4AF79NZetebXYbCIKhdClwBuOhT46yCxtQhTFATlyAnnVVkbmd8nq7MoO4tKu5sgO2o9OHCOX+aMjugyI+3hrIQCXDgshfADPmx3ojRZu+zid6hYjQ4I9ee36tLP+AWW0WPlkeyHTXtjAE99mcaRKh7tGyU0Tovn5wSl8f/9kbp4Yc1YKj+MRBIHkCB/+edUIdv55Bv+8ajhxge60GC28tj6Pqc9v4M3f8mg1WU58Z32MUiHw3/kpeGpV7C1u5I0N+Wf8GHrDJcMkw7G1B6s6XZYW5YO7Rkm93sShymbnz7ry+7DaxA75L01tZkrqB27CrVx8yMj8Dvklu2tjseOJ9HN1+hGU1LeyJa8WQYBrR3f29qjTGVlhD/i6ZVJMnx5vf2C1iTy0bB8HKyQvjw8Wjz6rmxEmi42lO4u54IXfePr7bKqajYR5u/CXy5LY/tQMnp0zfED7pbhpVCwaH826R6bx1g0jiQ/yoKnNzPO/5DD1+d/4eGsBlm4Ezf1FhK+bM4Du1fW5A9L/YubQYAA2HqnpZOqnVioYZ7di35IrjVpc1EpGdJPzcvzkNLOssW8Ptg+Riw8Zmd8ZDXoTO4529AqwdFN9XJ16zE79y3Sp6zE5PoBIv87z8y92FWOy2EiO8Hbmvwxk/v3zIdYdqkajUvDuTaOJ8D07mgCbTeSbPaVc+NJvPLUiyx6TruUfc4ax4Y/TuX1KXCctwEBGoRCYNSKU1Q9P5b/zU4jyc6NWZ+SZHw5yxetbz7j75lVp4VyZEobVJvLI8v20neQKcn+THO5NoKcWndHCzoK6TpdPipcyXdrrPMZ0M3o5nqzSgav7kDUfMjK/M9YequqUhNmN1pSrR0pbAharja/SJaHpdV04mposNj7ZXgRIXY+BOmd28M2eUt7fIgljX7o2hZFRZ6dYOlDWxNPfH2CvPQY9wEPLfRcM4vqxUbiolX36WAazlVqdkRaDBZ3RgtliwyqKKAQBF7UCV7UKX3c1fu4ap8bndFAqBOaOjOCKlDCW7S7hpTU5HKpoZu5b21g0Lpo/XjrkjBVV/7hqOLsL6ymqa+WlNTn85fKhZ+Rxe4NCIXDhkCCWp5fw66HqTuvdUxKk4mNXQT0GsxUXtZKxMX68s/HoCe87Uy4+ZGRkBgpd2Tl3RWrkMTv1Tbk1VDYb8HPXcJG9TdyeVQcqqG4xEuip5bIRA29FtT2ZpY08uSILgAcvjOeKs7BS29hq4sU1OXy+sxhRBHeNkvsvTGDxxBhcNaf+wS+KIqUNbWSVNXG4soX8Gh1Ha/RUNLXR2Nr1GnVX+LqpifJzI9pfcjhNCvUkOcKHAI+T15molQpuHB/N7OEh/N/Ph/h2bxmf7ihidXYlz84Z7gxZ60+8XdX86+oR3PLxbj7cWsDs5NCzVnB2xYwkqfhYd6iKv10xtEPxnhDkQZCn5Dy8t6iBifEBjI72QxC6NwV0cKCsySlUHWjIxYeMzO8Ih1lUb2gvNF22Sxq5zE0L73RWLIoiH9q7CDeOj0ajGrjT3JoWI3d9ugeTxcbMpCAenjn4jD6+KIp8mV7Cc6sO02AvBq5MCeOp2UmEeJ98dowoiuRV69icW8vOgjp2Fzb06FSqUSrwclXh6aJGrRRQCAKiCAaLFb3RSmOrCYtNpKHVTENrExmlTZBx7PaxAe6MifFl6uBAJscHnFTQnr+Hlv/OT+WakRH85bsDHK3Vc/dne1g4Loq/Xjb0tIqu3nBBYhBz08L5dl8Zj3+dyU8PTu6TDk9fMDkhAI1KQWlDG0eqdAwJ8XReJggCk+MD+HZfGZvzapkYH4C3m5ohwZ4dcpm6osVoobBOT1ygR3//CieNXHzIyPyOWH+4GlMvRH8qxTE79eoWA78elqK9uxq57C1uJKO0CY1KwcJxXXt/DARMFhv3fr6HiiYDgwLd+d91qWf0jLC8sY0/fZPpLP4GB3vw9yuHM6GbqPTusNlEMkobWZ1dxZrsSo7W6jtcrlYKJIZ4MTTUi/ggD+IC3YnwdSPEywUvV1WPIzFRFGlqM1PeaKC4Xs/RWj2HK1o4WNFMfo2Oglo9BbV6vkwvRSFILpxzUsO5dHhIr0coE+MDWPXwFP63Npd3NuWzdGcxuwvqefX6NJJC+1dQ+/QVQ9mUW0tetY7X1+fxh4uH9Ovj9RY3jYpJg/zZkFPDukNVHYoPkP5m3+4rY3v+MU3I2Fi/ExYfIJmNycWHjIzMWaW3I5fpQ4Lws9upf7OnDKtNZFS0LwnBnp2u+6HdVGxOStgpteXPFP/48SC7Cxvw1Kp496Yzt9kiiiJf7ynl2R8O0mK0oFUpeOziISyeFHNS+Sh51S0s3VnCz1kVVDYbnD/XKBWMi/NjwiB/xsX6Mzzc65TP6AVBwMdNg4+bptNmTVOrmb3FDWzLr2XjkRqOVOnYmlfH1rw6/vLdAWYmBXF1WgQXJgZ1uYbdHq1KyROzEpmSEMAjy/eTW61jzhtb+fPsJG6aEN1vmiEfNw3/mDOMez7fy1u/5XPp8BCGhQ2M7J4ZScFsyKnh10NV3HdBfIfLxtkFplllTeiNFty1KsbE+Dl1Vj2RWdrEnNSB5zQsFx8yMr8TDGYrG3Kqe3Vdx8hFFEWW7y4Guu56lDe2OZ1Sb5k0cFxBj2fZrmI+3VGEIMAr16cy6AydCVY3G3jy2yxn5ygtyocXr03p9eMbLVZ+OVDJ5zuKO6SZumuUTE8M4pJhIVwwJPCMFFLebmouSAzigsQg/nyZlC3z/f4yvttfRn6Nnp+zKvk5q5IoPzdumxzLtaMjTuhwOyk+gFUPTeGPX2ey/nA1f1uZTUZpI/+6ekSfC24dzBoRyuwRIfycVckT32Tx3X2TTlgsnQlmJAXxl+9gX0kjtTpjh0I+0s+NcB9Xyhrb2FPUwNTBgYyJ6d3Gy8Hy5n464tNDLj5kZH4nbDpSQ2sv1gw9XVRcmCjZqe84Wk9hXSseWhWXdZET8cn2Iqw2kfFxfgPWgyKjpJGnv88G4A8XDebCxM6C2f5g3cEqHvs6g8ZWMxqlgkcuGsydU+N69UFX02Lkgy0FfJle4tRwKBUCMxKDmD86kskJAf324dxbovzdeGBGAvdfGE92eTPf7y/jqz2lFNe38reV2fx37REWjY9i8cTYHg3R/D20fHDzaD7cWsi/7ILUglo97ywaRZDXyetgesPfrxzOltxassqa+Hxn0YBw4w31dmVYmBfZ5c1sOFzdyUtnXJwf3+4tY8fROqYODiTE24VQbxcqmgzd3KPEocrmAel0OnCVYTIyMn3K8cZi3XF5cqjzg83R9bgiJaxTcmmbycoXu6TLbx2gXY/GVhP3fr4Xk9XGxUODO7Wz+wOz1ca/fj7E7Z+k09hqZliYFysfmMQ90wedsPCobDLw9x+ymfL8et7emE+93kSotwuPzBzM1j9dyLs3jWbm0OCzXni0RxAEhod78+fLhrLtiQv5x5xhRPu70dRm5o0N+Ux7YQOvrMtFb+ze5VQQBG6bHMuSW8bi7apmX3EjV76+td98KgI9tfzx0kQAXlidQ3VLzx/gZwpH0b/xSE2ny8bbzcZ2FhzrgKVF+ZzwPhtbzVQ1G/vmAPsQufiQkfkdYLbaWNeFfXNXXJ0meXs0tZr52T5SWdDFyOXbfaU0tZmJ9HNlRtKZ6SacDDabyKNfZlDW2Ea0vxsvzk/p97O/8sY2Fry7g3c3SR4Mt0yKYcW9k0gM6bkrVNrQyl++y2Lq8xv4aGshBrON1Egf3r1xFJsfv4CHZiac0jbMmcZNo+LGCTGs/8N03l40iuQIb1pNVv637gjTX/yNpTuLe3Q5nZwQwHf3TWJQoDuVzQaufWcba3pZNJ8sC8dGkRzhTYvBwr9/Ptwvj3GyTLPnJW3Ore3kxTM+Vio+MksbnXb1aZG9Wxc+VDHwRi9y8SEj8ztge34dzYYT52tE+B6zU/9ufxkmi43EEE+SIzqK8kRR5CN7jsviibEDYmZ+PG9tzGf94Wq0KgVv3jCy3w2tNuRUc9mrm9lT1ICni4q3F43ib1cM63H1uNlg5t+rDnHhixv5bEcxJquNsTF+fHrbWFbcO5GLh4Wc9ayZU0GpELh0eAjf3zeJ1xemEeXnRk2LkadWZDHrlc3sLqzv9raxAe6suG8S04cEYjDbuPuzPU533b4+xn9eNRxBgBXHbZKcLVIjffB0UdHUZiajtLHDZZF+roR6u2C2iuwtki7rTecD4KBcfMjIyJwNejtyuTotHIVCQBRF50hlwZjITh2DzfZ1RXeNkmtHR/T58Z4u2/JreWlNDgD/mDO8XzcaRFHk1V9zueWj3TS0mhkR7s1PD0zp0TzLYrXx2Y4iLnjhN97ZeBST1caEOH+W3TmeL++ewJSEwAE3oz8VBEFa2V776FSevnwoPm5qcqt1XPv2dv763QFaDF0bn3m5qHn/ptFcOyoCmwiPf53Ju5v6PhguOcKHReOiAfjr9wc6ZaucaVRKhdPRdNNxoxdBENqNXqRCaXi4N6peFP69Wck908jFh4zMeY7VJrImu7cjF2nLxeGQqVEpnGOY9nxkX6+9dnTkgMsdqWo28OAX+7CJcO2oCOZ3MTLqK1pNFu5fuo//rj0CwE0Tovn6nglE+XefE7Mlt5bLXt3CX747QJ3eRFygOx8uHs3SO8Y5P1zON7QqJbdOjmXjYxdwnV1I+emOIi7676Zux4EqpYLnr0nmzqlxAPzr58M8t+ow4olsPU+Sxy4eQoCHhrxqnfN5fTZxjF660n04Vm532rOZXNRKhvVC6C2PXWRkZM44e4oaqNWdWHCWGunjNCNatltqc88eHoK3W8fiIr9Gx4acGgQBFk+M6fPjPR3MVhv3L91Lrc5EYognz84Z3m+PVdbYxjVvbeenrArUSoHn5yXz7Jzh3Xps1OtNPLJ8P4s+2ElOVQs+bmqeuWIoqx+eyoWJwedFp+NEeLup+c81ySy9fRzR/m5UNhu4/ZN0Hv86w6ljaI8gCDw1O4knZkni0Lc35vO3ldl9WoB4u6n5k118+tr6PGpazq44c6q9+MgoaaThOLdaR3G6v6QRg1naXEvrhU380Rqd8/oDBbn4kJE5z/mll8Zi8+zeHnqjhZX7ywG67Bos2VYIwIzEIGLs2S8DhRdX57C7sAEPrYq3Fo3qN8vu9MJ6rnxtCwcrmgnw0PDFHeO77bCIosh3+8qY+d+NrNhX5izafntsOosnxZ6U0djpYLHaqNUZya1qYU9RPXuK6tlb3MD+kkYySxs5UtVCg97U552FrpgYH8Dqh6dy17Q4BAG+TC/lite2dHuGfve0QTw3dwSCIK13P/vjwT49znkjIxgR7o3OaHF2sc4Wod6uDA72wCZ2TLIFiPZ3I8hTi8lqI6tM2gTqje7DJkJula4/DveUkX0+ZGTOY0RRZHUv9B5q5TE79Z+yKtAZLcT4uzHhuDFAU5uZr/dI6bYDzVRsdXYl79i3TF64JtkZitfXrNhXyuNfZ2K2igwN9eK9m0cT7uPa5XVL6lv5y3cHnC30xBBPnpuXTGqkT78cm8FsJbdKR15NC3nVOvKqdeTX6KluNvRKcAzScyHAQ0ugp5bYAHcSQ7xIDPUkKcSLYC9tn3VoXNRKnpyVxPTBQTy8fB/5NXrmvLGVv16WxKLxnV1OF4yNQhDgT99k8dHWQpSCwJ8vS+qT41EoBJ6+YijXvr2d5buLuXF89Fn1rZk2OJAjVTo2HanpEHwoCAKjon1ZdaCSPUUNjInx6/3GS2UzIyIGhpsryMWHjMx5TVZZE2WNbSe83vQhQfja7dSX20cu142J6vTG/uXuElpNVoYEezLxJDNJ+pOiOj2PfSUloN02OZZZXRiinS6iKPLmb/m8sFoSss4aHsJL81O6dPF0WKo/szIbvcmKRqXgoRkJ3Dk1rk87HS0GM3uKGthVUM+ugnoyS5tOmN3j7arG21WNQpDOiG2iiChKoYNNbWbMVpGKJgMVTQYyS5v4nnLnbQM8tEwc5M/k+AAmJQR0W3SdDBMG+fPzg1N47KsMNuTU8Nfvs9ld2MDz1yR38jO5bkwUVhs8tSKL97cUoFQKPHFpYp8UIGNi/LgsOZSfMit49sdsvrhj/FkbhU0bHMR7mwvYeKSmk0FY++IDpC0YP3dNj4GCMPB0H3LxISNzHnOyI5cjVS3sKWpAqRCYN6pjHoTFauNj+8jllkkxA0ajYLLYuH/pPloMFkZF+zr1AX2JxWrjbyuz+XyntAF059Q4nrg0sctgusZWE0+tyOLnLOlvPybGl+fmJfeZpXtZYxurD1TyS3Yl6YX1HGcHga+bmoQgT+KDPYgP9CA+yIMwHxd83TR4u6p7XN01WWzU6Y3UtBipbDKQW63jcGULhyuaOVqrp1ZnZGVGOSszpIIkNsCdS4aFMCc1jMQQz1N+Tvh7aPlw8Rg+2FLAc6sOszKjnMI6Pe/eOLqTv8nCcVFYbTb++n0272w8iqdWxf0XJpzS4x7Pk7MSWXuwih1H61mdXdXjxlJ/MjrGF61KQXWLkfwaHfFBxzKVHBqPvUUNzsJkWJjXCdOq86rlsYuMjMwZQBTFXhUf3q5SZgcc63rMSAwiyLPjm/66Q1WUNbbh66bmqrSBE1T1/C+HySprwsdNzWvXp/W5hqLVZOHBL/ax7lA1ggB/u3woi7sZOW3Nq+UPX2ZQ2WxApRB49OLB3DX1xM6mJ6K8sY0V+8r45UClc9bvIMrPjbGxfoyN8WNsrB/R/m6nXARoVApCvV0J9XYlOQIuHnbsMoPZSkZJI1vzatmSV0tGaRMFtXre3pjP2xvzGRzswZzUcK5KCz+ljoggCNw+JY6hYV7c+/leMkubuPL1Lbx70+hOY6obJ8Rgsor848eDvLjmCAEeWhaMPf1E5QhfN+6cEsfrG/J4btUhZiQFnTFNTntc1EpGx/iyNa+Obfl1HYqP4eFeaJQK6vQmiupaiQlwZ0S4t1x8yMjIDAxyq3Wd4ta74vLkULQqJUaLlW/3SnqO67t4I/9wSyEgnXkOFHvvDYereX+LtB75/LxkwvpgDNCeOp2RW5ekk1HSiFal4JUFaV2eDZutNl5cnePUnMQFuvPKdWmnNWM3W22sP1zNsl3FbDxS4+xwKAQYHePHpcNCuHhYMBG+3a/19iUuaiXj4vwZF+fPoxcPodlgZvORWn7IKGf94WqOVOl4YXUO/117hEuHhXDr5BhGRvmedCE0cVAAK++bzO2f7OZIlY7572zn5etSmX3cKO22ybHU6Yy8+Vs+T63Iwt9Dy0VDT99p957pg1i2u5jCulaW7S7hxvHRp32fp8LEQQH21ODaDtkzWpWSERHe7ClqYE9RAzEB7gwPP/HzrKLJgM5owUM7MD72B8ZRyMjI9Dm9Hbk4EmzXZFfR0Gom1NvFue7n4EBZE7sK61EpBG4cH9PXh3pKVDUb+INd57F4YgwXD+vbFnlFUxuL3t9Jfo0eHzc1H9w8mlHRnZNEq5oN3L90L7sLpRn8DeOi+PNlSSdMdO2O6mYDS7YX8mV6aYe1z/FxflyVGs7MocEdEk/PFl4uai5LDuWy5FCa2sysPlDJN3tL2VlQz09ZFfyUVUFKhDe3T4njshGhXY6ouiPK341v7pnII8v3s+5QNfct3cuzc4Z3KgT+eMkQalqMfLWnlPuX7uXz28cxupdpr93hrlXx4IwEnv4+m1fW5TI3LbxTrtGZwKGp2nG0HqtN7NA9GxXtKxUfxQ3MGyVt6vSGozU6kiN8+uNwTxp51VZG5jylN8VHtL8bI+0z5GX2ELlrR0d2GhN8aDdfmj0idEBkjFhtIg8v20+93sTQUK8+13kU1uq55q3t5NfoCfV24eu7J3ZZeGzLr+WyVzezu7ABT62KtxeN5P+uHnFKhUdBrZ4nv81k8n828MaGfGpapFj1u6cNYsNj01l25wQWjI0aEIXH8Xi7qpk/JpLld01g1UNTmD86Ao1KQUZpEw98sY/Zr25mTXblSa3HerqoeefG0dwwLgpRhL9+d4CX1x3pcB+CIPDvuSOYkRiE0WLjtiXpFPSi23ciFoyJIsrPjVqdkQ+3nB3jsRHh3nhoJav148WiI9vpPkCKRfB2PbHZ30AavcjFh4zMeUhxXWuv8hyuTgtHEASK61rZmleHIEiuoO2paTHyY0YFIAlNBwJv/ZbH9qN1uGmUvLYwrU/HQIcqmrnm7e2UNbYRG+DOV3dPID6oo1jUZhN5Y0Mei97fSa3ORFKoFz88MJlLh5/8ls2Bsibu+WwPF770G1/sKsFktTEq2pe3bhjJ9icv5IlZif22NtwfJIV68fw1KWx74kIenpmAp4uKw5Ut3PnpHq56cxvb8nrWJrTHkb/y0AxJUPryulye/j4bWzuVrUqp4PWFI0mN9KGpzcxtH++mqbVr2/beolEpeOySIQC8s+noCTdJ+gOVUuF0NN163N9sZLQPADlVLTQbzPZk4ROvBsvFh4yMTL/yS3ZFr643126d7gjumhwfQKRfRw3BpzuKMFmllNXeuCn2N7sL6/nfulwAnp0zvM+2SEByg73une3U6owkhXrx5V0TOmkqdEYLd366hxdW5zgt3FfcO/GkDdfya3Tc9/leLn9tC6sOVCKKktD3q7sn8M09E5k1IvSsiB37igAPLQ/PHMyWxy/k3umDcFUryShpZOH7O7nnsz2U92IFHKTuxiMXDeYfc4YhCNLz8U/fZHYoQFw1St69aRRh3i4crdVz39K9mE+wcnwiLh8RyvBwL3RGC6+vzzut+zpVJsZLOS/bjgu9C/J0IdLPFVGEA6WSAHl4L/KL5OJDRkamX+nNyGV0tC9R/m5YrDa+2iMVH8cLTQ1mK5/vKAIkgd/ZprHVxENf7MNqE7k6Ldy5ItwX7Dhax40f7KTZYGFklA/L7hhPoGfHEUdxXStz39zKukNVaFQK/jNvBC9cm3JSnZfKJgNPfpvJxf/bxE9ZFQgCXJUaxuqHp/LB4jGMOU3NwkDD203N45cmsunxC1g8MQalQmDVgUpm/ncjb2/M73WY240TYnj5ulQUAny1p7RTARLk6cJ7N4/GVa1kS14t//jx4Gkdt0IhOG3XP9tZREVT74qlvsSh+9hdWN/p75Qc7gNAhqP46IXuI79GLj5kZGT6icomA3uLG094vavtH9y/5dRQ1WzE313DzKSO2wIr95dTpzcR5u3CrLPkeeBAFEUe/zqT8iYDMf5u/OOq4X3mNbItv5ZbPtpNq8nK5PgAPrt9XKdMm235tVz5xhaOVOkI8tTy1V0TuG5M79c7W00WXlydw7QXNvDFrhKsNpGZSUGsemgKLy9IY0iI54nv5Bwm0FPLM1cO48cHJjMmxpdWk5XnVh3mslc3k1XadOI7AOakhvPKgrRuC5BhYd68vCAVkGzYP99ZdFrHPDk+gHGxfpgsNt7c0PepuidiSLAnfu4aWk1WssoaO1yWbN+kcvy8N8VHUV3raXeE+gq5+JCROc9Yc/DEXQ+NUsHlIyTbZofQdN4oSSToQBRFp9D05okxPZpTnQk+21HEmoNVqJUCry8c2Wcrg1vzarn14920ma1MHRzI+zeP7iQY/XR7ITd+sIvGVjMpEd788MBkUnppkS6KIj9nVTDzpY28viEPo8XGmBhfvr57Au/fPIbEkLNn4302cIyzXro2hQAPDbnVOq5+cysvrzvSqw/GK1LCOhQgT3yb2UGEesmwEP5o12v8feVB9pc0nvKxOkY+IL1OeuMW3JcoFAKjo6VRp2ObyoFjjTvTXrhF+bnhou75NWqxiRTVnb4gty+Qiw8ZmfOM3oxcZiQF4e2mprLJwPrD1QDMH90xGG1bfh2HK1twVStZcBJn+P3BwfJm/vHTIQCemJXUq7O83rAlVyo8DGYbFwwJ5N0bR3UYoVhtIs+szOav32djtYnMSQ1j+V0TCPbq3cZPblULiz7Yyb2f76W8yUC4jytvLxrFl3dNOO2V0HMZQRCYNyqCtY9M47IRoVhsIi+vy2XeW9t6pUtoX4B8mV7Kv34+1KEAuXf6IC4ZFozJauPez/ZQ14tU5+4YH+fPxEH+mK3iWdF+jLWLTncX1Hf4uWO9trShjTqdEaVCYHDwibtnxfWtfX+Qp4BcfMjInEfU603sPO5NqivmjpSEpl/vKcEmwtgYv04bHR/YVwyvHR3RaQRxJmk1Wbj/i72YLDZmJAZxax9t3Gw6UsNtS3ZjtNi4MDGIt48rPNpMVu75bI/TUv6Plwzh5etSe6XvMJitvLg6h1mvbGZrXp0z22Xdo9O4dHjIgLGmP9v4umt4fWEaryxIxdtVTWZpE1e8toXv9pWd8LZXpITxn3nJALy3uYC3Nh4biwiCwAvXphAb4E55k4GHlu3HerwP/Ung6H58lV5CyRn+8HZogNKLGjqMmDxd1MQFSiJnh+vtkF4UH0V1cvEhIyPTx6w7WHXCN1lfNzXTBgdis4ksT3eEyHXseuTX6Fh/WLITP9vptc+szOZojZ5gLy0vXJvSJx/cv+VUc/sn6RgtNmYmBfHWopFoVceKinq9iYXv72DNwSo0SgWvXZ/GfRfE9+qx9xQ1cNmrm3l9Qx4Wu65j3SPTeOSiwbhqBoYz7EBCEATmpIaz+uGpTIr3p81s5eHl+/nziiwMZmuPt712dCR/uSwJgOd/yWGpPXsHJBO0txeNcgpQ/7f2yCkf45gYP6YkBGCxiby2PveU7+dUGBrmhataSVObmdzjukLJ9u6HQzPTG92Q3PmQkZHpc37JPvHI5cqUMDQqBduP1lFS34ani6qTdfXHWwsBafXzbHpMrMwo58v0UgQBXr4uDT978u7psOFwNXd+sgeTxcZFQ4N584ZRHQqPojo9897axr7iRrxcVHx629gOsebdoTda+PsP2Vzz9jbya/QEeGh564aRvH/zGKL8z4wF+rlMiLcLn9w6jgcvjEcQ4POdxVzz9jZKG3r+sLx9Shz3XTAIgD9/l8Wadq+BISGePDdvBABv/JbXyS/jZHh4ptT9WLGv7IxuvqiVCqevx67Cjl1Nh1tpxkkUH2e6c9MdcvEhI3Oe0GIws+UE4VIAV9tHLl/sks4Sr0oN73BG3thq4us9UsbLrWex61FS38qfv80C4IEL4plgXzs8HTYeqeGuT/dgstq4ZFgwbywc2UFku7+kkblvbqOgVk+4jyvf3juRcXEnftw9RfXMemUzH20tRBRh3sgI1j06lVkjTt507PeMUiHw6MVD+GjxGHzd1Bwoa+aqN7ayt7ihx9s9dvEQrh8biSjCQ8v2d9iemZMa7rzs4eX7T1n/MSral3GxfpitIu9tOrOup47Ry/G6D8fGy4Gy3hcf5+3Y5ZlnnkEQhA5fISFnd0VPRub3wPrD1ZhOsC0QF+BOSoQ39XoTa7KrgM4jly92ldBmtpIY4tknH/ingtlq48Fl+2gxWhgV7cuDM04/Mn17fh13fpKOyWrj0mEhvH5c4bH2YBUL3t1Ond7E8HAvVtw3sUOaaHfH+eLqHK59ezvF9a2E+7iy5NaxvDQ/BR+30+/S/F6ZPiSIHx+cwtBQL2p1Jha8u4Pv93evAxEEgX/MGc7UwYG0ma3cumR3h82Upy8fRnyQBzUtRh77KqODduJkuPeCeEAq3M+k6+lYR/FxXOcjMVTalKpsNtCgNxHoocX3BPqs4vrWk7K57y/6pfMxbNgwKioqnF9ZWVn98TAyMjLtWN2LkcvckZKd+rd7SzFZbYwI9+6wOWK22lhiF1jeNjn2rAkjX153hH3FjXi6qHhlQeppr/nuKap3iktnJAbx6vVpHdxDv9hVzF2fpmMw25g+JJDld04gyLPnjZa8ah1z39zG6xvysInS33bVw1OYdlwon8ypEe7jyld3T2BmUjAmi42Hlu3vlO3SHpVSwRsL00gM8aSmxchtH++mxSDZrLtqlLx2fRoalYINOTXOFfKTZWpCAMPCvGgzW51C5DNBapQPSoVARZOhw8jHQ6siyu5IfLiyBUEQTtj9MFpsVLec+vZPX9EvxYdKpSIkJMT5FRgovxhlZPqTNpOVDYdrTni9OanhiKLI8t1dC01XHaikstlAgIeGK1NPrHPoD7bl1fLmb9LmwnNzk087Mj6rtInFHx4zEHvjho4dj7d+y+fJb7OwibBgTCTv3zS6xxRTURT5Ylcxl7+2mayyJnzc1Lx5w0j+Oz8VL5eztxV0PuKuVfHOjaO4a2ocIGW7/OW7A92Kqj1d1HyweAyBnloOV7bwyPL9zi5HUqjXMXHq6hxyq1pO+ngEQeDe6VL3Y8m2QnRGy6n8WieNm0blXKPNOM63JNFebByulLKcEk7QrYOBITrtl+IjNzeXsLAwYmNjWbBgAUePHu32ukajkebm5g5fMjIyJ8em3BraTrAZMC7Wj0g/N/YWN5BbrcNVrexQYIii6FyvXTQ+uoMI80xRrzfx8PL9iCJcPzaSy5JPTzNxqKKZGz/cSYvRwtgYP9696dg6rSiKPLfqMP/55TAgeUP8e+6IHrsseqOFh5fv58lvszCYbUxJCGD1w1M7CXZl+g6lQuDJ2Ul2R1tJiPrgF/swWrp+vof7uPL+TaPRqBSsO1TNy78e2065cXw004cEYrLY+MNXGVhOwe3z0uEhxAW409Rm5ot22zX9Tard1G7f8cWHffRyuEIqpnojEC8eALqPPi8+xo0bxyeffMLq1at57733qKysZOLEidTV1XV5/X//+994e3s7vyIjI7u8noyMTPf0xlhsrt1OfdkuqetxWXJohzP1vcUNZJQ0olEpWDQ+un8OtAdEUeSPX2VQ3WIkPsiDpy8fdlr3l1et48YPdtLYaiY10ocPbxnjdC612kT+/N0B3rZ7Qzw5K5HHL03sccx0uLKZK17fwvf7y6UPxFmJLLllbK8Nx2ROjxvHR/Pa9WmolQI/ZVVw28fptJq67jykRPrw76ulLZdXf811jiQFQeC5ucl4uajILG3ird9O3jJdqRC4a5rUiXl/y9Fui6C+Js1efOw/Ljohyd75OGTvfMQGnrj4qGw29OmxnQp9XnzMmjWLefPmMWLECGbOnMlPP/0EwJIlS7q8/pNPPklTU5Pzq6SkpK8PSUbmvMZksbHuUFWP19GqFMwaEUqzwcyPmVLi7YLjRi4fbikEpJCzAA/t8XfR7yzZVsivh6vRqBS8uiDttDwxiur03PD+Dmp1JoaGerHklrFOO3ZJP7CPpTuLEQR4bu4I7po2qNv7EkWRL3eXMOf1rRyt0RPi5cLyO8dz17RBKBSyWdiZ5PLkMD5aPBY3jeTdsfij3ei7GX3MGxXB4okxADy6fL9zzBLi7cIzV0qF7avrczlYfvLd9qvTIgjxcqGq2ciKvSc2ROsLHHb+WWVNHcZOjs5HTmULVptIXC86H1XnY/FxPO7u7owYMYLc3K6NWbRaLV5eXh2+ZGRkes/2o3W0GHqePV80NBgvFzUr9pbRZrYyONiDUfbMCIDShlZWHZCKklvPQnrtwfJm/vWzNP54alYiQ8NO/X2goqmNG97fSVWzkYQgjw4hcW0mK3d+ms6PmRVSRsz1I1kwtnvr+FaThT98lcHj32RitNiYNjiQnx+a8ru2Rj/bTE6Qgv88tSp2FdRzy0e7u9Ve/PmyJMbH+aE3Wblv6V7aTFKX4uq0cC4eGozZKvLol/t7nazrQKNScPsU6XXy4daCM7I9Eh/kgbtGSavJSm71Mb1KlJ8brmolRouNwjppRVyt7Lkormz6HRQfRqORQ4cOERoqz0RlZPqDX+xFQ0/MGxmBKIp8tkNK+bxhXHSHEcOSbYXYRJgU73/Gg85aTRYe+GIvJqu0iXKz/Wz1VKjXm7jxg12UNrQR4+/G57ePcxqTNRvM3PThTn7LqcFFreD9m8f0qCnJr9Ex5/WtfLu3DIUg2at/tHhMnxidyZweI6N8+fT2cXi6qNhVWM/iD3d1WYColQpeu34kgZ5ajlTpeGZlNiCNX/7v6hH4uqk5XNlySq6l146OxE2j5EiVjm35XcsK+hKlQnCairUfvUiZLlI0wpHKFlRKhXMDpjvOy87HY489xsaNGykoKGDnzp1cc801NDc3c/PNN/f1Q8nI/O6x2kSnX0d3BHhomJIQwO7CY0LTq+36D5DMyRw6kNvOQtfj2R8Okl+jJ8jz9OzTWwxmFn+0i7xqHaHeLnx2+ziC7HqMxlYTi97fye7CBjxdVHx227geV2J/PVTFVa9vJbdaR5CnlqV3jOe+C+LlMcsAIjXSh89vH4eXi4r0ogbu/CS9S/1FoKeWV65LRRBgeXqJMzcm0FPLP6+SdCFv/pZ/0uMXb1c114ySDPs+OsXV3ZPFMXrJLGvq8PNBgVLxcbRWSqyNDeiY03Q8Fedj56O0tJTrr7+eIUOGMHfuXDQaDTt27CA6+swL2GRkznfSC+upO4HZ0RUpYaiUCmfXY05qWAeh6Re7imkxWogP8mD64KB+Pd7j+SmzgmW7S+z26amn3FUwmK3c8Uk6maVN+Llr+PS2cc4V3Xq9iYXv7SSztAlfNzXL7hzf7dhEFEVe+zWX2z9Jp8VoYUyMLz89OIXxvXA5lTnzJEf48Olt43DXKNmWX8dDX+zvcoNlYnwAD1woGdX9eUUWR2ukjJTLkkOZNTzELkDOOmnzMUeX7tfD1Wckqn6YfRx5fKHkCJjLt/9esQE9dz5qdcZT2vTpS/q8+Fi2bBnl5eWYTCbKysr45ptvGDp0aF8/jIyMDJIvx4m4dlQktTqjU9Nxw7hjJwImi80pNL1jSuwZPbMvbWjliW8zAWnNdWJ8wCndj9lq4/6le9lxtB4PrYolt4x1JvTWtBhZ8O52DlY0E+ChZdmdExgW5t3l/eiNFu79fC8vrT2CKErbFZ/fPp5AzzMvvpXpPSmRPrx302g0SgW/ZFfy5xUHutRgPDQjwan/uH/pPmdo3d+uGIaHVsW+4kaW7jq51dlBgR5MGxyIKMKSbUV98vv0hEMLdbiyuYPoNM7R+aiRCqDIE4xdbCLUnKLNfF8hZ7vIyJyjiKJ4QlfTEeHeDA3z4qv0UsxWkZQIb0ZEHPvw/TGznMpmA4GeWq5KC+/hnvoWi1VyrGwxWEiL8nGGdp0sNpvI419nsu5QNVqVgvdvHu38/SqbDFz37naOVEmjk2V3ju/W/bGoTs/cN7ex6kAlaqXAc3NH8I+rhncwI5MZuEyMD+DV69NQ2Ecr//klp9N1lAqBVxak4e+u4WBFM8+tkgTOId4u/OFi6fn3n18OU3OS7p+3TIoB4Kv0kn43HYvxd8dVrcRgtlFQe6zT4hi75NfoEEWRcB/XE95XVbNcfMjIyJwCmaVNJ5zdzh8dgc0msnSXXWjazr9DFEXe3SQZAC6eGHNGTcVe/TWXPUUNeGpVvLqgo9V5bxFFkb//kM2KfWWoFAJv3jDSOR4pa2zjune3c7RGT5i3C1/eNcHZDTmezbk1XPn6VnKqWuxFyoQeN2BkBiaXDg/hubnJALy9MZ93N3X28Aj2cuG/16UC8PG2QmfK7U0TYhgR7k2LwcI/fzp4Uo87NSGQuEB3WowWvrEHMvYXSoVAUqhUQB+sODZ6ifZ3QxCgxWChVmcirBfFR0Prmcum6Qq5+JCROUc50chFo1JwZUo4m3JrKKlvw8tFxRXJxxxNN+fWcriyBTeNkkXjzpwma3t+Ha9tyAPgX3NHnLBF3B3/W3uEJduLEAR4aX4KM5KCASkN97p3tlNU10qknyvL75pATDfeB59uL2TxR7tpapOMyH54YHKHFWSZc4v5YyJ5clYiAP/6+XCX5nvTBgdyo70I/+NXGTQbzCgVAv939XAUAny/v5zNuSeOKnCgUAjcYtd+LNle2O9rt0O70H24qJVE+EoFx9EaHeG+Jy4+GuXiQ0ZG5mQRRZGfs3pesb10WAjebmo+t1tAzxsV0cG4y9H1uG5MpNMHo79p0Jt4xG6fPn90BFeknFp+zPubj/LqeqmAeXbOcOakSiOjglo989/ZTmlDG7EB7iy/c0KXxY3FauOZldn89ftsrDaReSMjWH7XeNmt9DzgrmmDuGmCVFw8sny/M26+PU/OTiTa343yJgPP/iB1OpIjfLhpQgwAT3+ffVLeH1ePjMBNo+RojZ7dhQ2n/0v0wNBQaayYXd7x93JsuBTW6fFyUePp0n0+EUBjq7l/DrCXyMWHjMw5SFZZ0wnDoeaPjqS8sY1f7e6nN4w7Nko4UNbElrxalAqBWyedmfVaURR5/JtMKpsNxAW6O10mT5Yvd5fwz58OAZL3huMsNreqhfnvbKeiyUB8kAfL7xzfZfu5xWDm9k/Snamkj186hBevTT4rWTYy/cPTlw9lSkIAbWYrty9J7+Rr4aZR8dK1KQgCfL2nlLUHpdfIHy4eTICHloJaPZ9sL+z143loj3UVl52kaPVkceiW8qp1HX4eae92lDVIqbcn0n00yMWHjIzMyeKwSO+OcB9XJg7yZ9nuEmwijI/zI75d2uX7m6Wux+wRoac89jhZPttRxNqDVWiUkn26I2flZFiVVeHckLljSiz3Tpds0Q9XNrPg3R3UtBhJDPFk2Z3jnR4f7SltaOWat7Y7jcbeumEk906PP2VvEZmBiUqp4PWFIxkU6E5ls4E7Pkl3ups6GB3jx51TpIyWJ7/NpE5nxNNFzR8vkcSnr/yaS/0J1tjbs2CsFFfwU1YFTW3998Hu0C5VNBk6CFwdo5bSxt4VH03y2EVGRuZkEEWRn05QfFwzKgKrKDrPwtqv15Y1tvGD/faOqPL+5nBlM/+wdyv+NCuR4eFdr7v2xObcGh5ath+bCNeNjuSp2UkIgkB2eRPXv7uDOr2JYWFefHHH+C6zafYWN3DVG5KwNNBTy5d3TWCWnEZ73uLtqubDxWPwdVOTWdrEH7/O6KTHeOSiwQwO9qBWZ3J2064ZFcnQUC9aDBb+t/ZIrx8vNdKHxBBPjBYb3+/vv7wXb1e1c/07v133w+FrU2rvfAR59bwiLnc+ZGRkTop9JY2U2c9uuuOaURH8eqiK6hYjAR4aLhkW4rzswy0FWG0iEwf5n1IRcLK0maw8sHQfJouNC4YEcqt9NfFk2FvcwF2f7sFktTF7RAj/mjsCQRDIKm1i4Xs7aWg1kxLhzdLbx+PbhVHZDxnlLHhXCppLCvXi+/smOa2qZc5fov3deXvRKFQKgR8zK/hoa2GHy13USp6/Rhq/rNhXxubcGpQKgb9eLnlTfb6ziJzKli7uuTOCIDjDGr/YVdKvwtNBdlOx9qMXR6fDMXbxd++5+Gjsx+5Mb5CLDxmZc4wfM3ruekyK9yfSz43Pdkhdj/mjI51+FQ16E1/YuyF3nKGuxz9+OkhutY7AU7RPP1zZzOIPd9FqsjIlIYD/XZeKUiGwr7iBhe/voKnNTFqUD5+2C5BzIIoir6zL5YEvpOJnZlIQX989oVeriDLnB+Pi/PnzZUkA/OvnQ+wpqu9weWqkDzfbhaZ/+e4ABrOVCYP8uXRYCDYR/vnTwV4XElelhaNRKThU0UxmaWeha1/hGL3k1RwrPhyaj8pmAxarDX+Pnt2C20z960lyIuTiQ0bmHMJmO/GWy/zRkRTU6tmSV4sgwPXtPCs+3lZIq8nK0FAvpveQbdJXrMqqcEbX/29+apfjkJ4orNWz6P1dNBssjIzy4Z0bR6FVKdlTVM+NH+yixWBhdLQvn9w6toNlPIDRYuUPX2bwv3VS6/z2ybG8c+No3LUnrzWRObdZPDGGy5JDsdhE7vt8H7XHuXv+4eLBhHi5UFTX6gyZe2p2Ehqlgs25tWzKre3V4/i4aZg9XOoyfple0re/RDvi7aZi7TsfAR5aNEoFVptIZbMB/xO81gzm88xeXUZGpv/YU9xAZQ+JlJ4uKi4ZFsIS+ybHBUOCnIJSndHi3PC474L+F1mWNbbxp28kcehdUwcxOeHk7NPLG9u44f2d1OokEelHi8fippFi1G/6QEoxHRfrx5Jbx+J5XOHR2Cql2367rwylQuBfV4/gL5cPRSkHw/0uEQSB/8xLdgpQH1q2r4M9uaeL2rl99c7Go+RUthDl7+Zc2X1h9eFedz+uGXVMeHoy67ong8O3prju2MabQiE4tSA1LUYCTpCT5LCXP1vIxYeMzDnEjxnlPV4+JzUMs9XG13anxcXt4uk/31FEU5uZuEB3Lh0e0s099A0Wq42Hl+2j2WAhJdLHaV/dW2p1RhZ9sJOyxjbiAtz59DZppLItv5abP9yF3mRlUrw/H90yplMnw2GVvqugHk+tio9vGcPCcbJj6e8dD62KtxaNwlWtZGtenbPD4eDS4SFcNDQYi03kzyuyEEWRey+Ix12j5EBZc5eGZV0xYZA/gZ5aGlvNJ2VWdjI4TihKG1o7FEUB9lFLrc504s5HFwnAZxK5+JCROUew2kR+PsEb4PzRkXy9pxSd0cKgQHem2LsNBrOV9zZLsd/3TBvU7x2AV37NZXdhAx5aFa8uSD0p+/SmNjM3fbDLaY3+6e3jCPTUsiW3lls/3k2b2crUwYF8cPOYTuu6e4rqufrNbRytlW779T0TmZLQ/+MlmXODwcGe/GvucABeW5/H3uKOhmB/v3IYrmol6UUN/JBZgZ+7htvt67gvrsnpVRKsUiE4PT++39/zycKp4hCX6k3WDlsrjoKjTmfE5wTGgfLYRUZGplfsKqjvMfRqSLAnw8O8nSOXxZNinaOVr9JLqNUZCfdx7fcAud9yqnnN7j76f1cPJ9q/a2vzrmg1Wbj14932FFoNn90+jnAfV37LqebWJbsxmG1cmBjEuzeOwkXd0RTsh4xyrn9vJ/V6EyPCvfnuvkndBsnJ/H65Oi2COalhWG0iDy/b38ErI8zHlXvs3jH//vkQbSYrt0+JxddNTX6NnhX7erdCOydVKj7WHqxC3w9hcy5qJUH2EUtpw7HRy7HOhxE3Tc+mefLYRUZGplf8mNnzWdT1YyPZeKSGwrpWPF1UzLUXGWarjbc3SqZid06NO6UQt95S1tjGI8v3A5KjqsP2vDcYLVbu+nQPe4oa8HJR8elt44gL9ODXQ1Xc+ckeTBYbFw0N5q1FIzsUHqIo8saGPOdGy0VDg1l+V9cmYzIyIFnyh/u4Ulzfyt9XZne47M6pcYT7uFLRZODtjfl4uqi5d3o8AC+vy+2VjiM5wpvYAHfazFane2pf4xi9lNQfW7t3CLprdaYTmvhZrP2bQXMi5OJDRuYcwGK19ThzdlEruHpkBB9ulUYrC8ZEOrUQ3+8vp6yxjQAPDdfZfQj6A5PFxn2f76Wh1cyIcG+nV0JvsFhtPPjFPjbn1uKmUfLxrWNJCvXilwOV3P2Z5O8xa3gIbywc2cEG3Wy18cQ3WbywWopQv3VSLG8vGnVK7qkyvx+8XdX8d77k7/HVntIOG2QuaiVPzZZWc9/ZlE9ZYxs3Togm2EtLWWMb3+49cXKtIAhcac8t+q6fDMecvh6NxzoffnaRaZ3ehFIh4KruvvtxtrXXcvEhI3MOsONoPXU9WD1fmRJGTYuBzbm1KAScAVlWm8ibv0kjkNsmx3UaVfQl//r5EPtLGvFyUfHmDSN7/Vg2m8jjX2eyOluyXn/vptGMjPLl56wK7l+6F7NV5PLkUF69Ps3pVwLQbDBzy0e7WZ5egkKQ5vVPXyFvtMj0jnFx/k57/r98d4C6duu3s0eEMDbWD4PZxn9WHcZFreQOu/bjrY35vdJ+XGkfvWzNq6XZ0PeGXo6xS63u2PuCI0yu1T7qcdf2UHyc5deJXHzIyJwDnGjksnBctHONdmZSsLMl+8uBSo7W6PFyUbFofP9tfPyUWeF8/P/OT+11XowoijzzQ7ZzJfb1hWlMig9gZUY5D3yxD4tN5KrUMF6+rqNotbShlXlvbmNLntQpee+m0dzcbrNHRqY3PDRjMIkhntTrTTxjT7cFqXPxtL1ztzKjnOzyJhaOi8LXTU1RXSs/ncBrB2BQoAdxge6YrSIbc/p+6yXAUXy004E5up0OHUtPHUDFWc4zkosPGZkBjsFs7fHNbliYF7EB7nyzR2rvLrbbl1ttIi/bDbYWT4rt5IXRV+TX6Hj86wwA7p42iJlDg3t92xfX5PDJ9iIEAV66NoWLh4WwYl8pD9t9GK4ZFcFL81NRtSs8MkoaueqNbeRW6wj2kjJaZiT1/jFlZBxoVAqevyYZhSAJltdkHxttDg/3do5OXlidg5tG5UyAfnNDPjbbiTUTFw+VVtr7Q/fh0HfUtOvYuNuLDb3dvVTVQ3fjbDcI5eJDRmaAs+FwNS2G7hXzN4yLZvnuYtrMVhJDPJkQ5w9IJke51To8XVTcNjm2X46t1WThvs/3ojdZGRvrx2Mn4efx1m/5vLEhH4B/zBnOVWnhfJlewqNfZmATJd3K8/OSO4xRfjlQyXXvbncaj31336Qzkk8jc/6SHOHDnVOPjV/aJ9I+etFgVAqB33Jq2Hm0jpsmxuChVZFT1cK6QycuKC6yF+IbDlf3ueFYe0MxB47OR6vxxJsscudDRkamR77tYb3PQ6ti9ogQPtxSCEiCS0EQOnQ97pgSh7dr33c9RFHkj19lcriyhQAPLa9fn9ahQ9ET728+yn9+OQzAny5NZNH4aJbuLObxrzMRRVg0Pop/XT3COZcWRZH3Nx/lns/3YDDbmDY4kK/vmUiot5zRInP6PDwzgbgAd6pbjDy36pDz5zEB7k6R9vOrc/ByUXGj3fX0fbtvTk+kRfoQ4KGlxWhhZ0Fdnx6zv11cWt9OC+ZYr3V0PuihvuhP/VdvkCXhMjIDmAa9id9yqru9fE5qGOsOVVPZbCDIU8ucNIe5URlHa/T4uKm55RRSZHvDWxvz+SmrArVS4O1FI3u92vrhlgJnfPlDMxK4Z/ogPtleyNPfSyuPiyfG8Lcrhjo9SixWG3//4SCf7igCpBXev185rNeFzu+JpjYzJfWtlDa00dBqkr70JhpazTS2mjFZbVisNiw2EatNxGIT0SoVuGqUuGmUuGqUuGtUBHhoCfHWEuTlQoiXC2Herp1C+84nXNRKnpuXzPx3trNsdwnXjYkiNdIHgAdnJPDN3lL2FDXwW04NiyfG8N6mo+wqrOdAWVOPnTeFQmBmUhDLdpew9mBVnxreeTi6HKZjXQ5Hl9Chh+2pt+HVDyckJ4NcfMjIDGB+zKrA3MM+/sJxUU5fjVsmxaJVKbFYbbzyq2QdfefUuH7RemzIqXautz5z5TBGx/j16nZLthXy7I+SsO+BC+N5eGYCH24pcP7sjimxPDU7yVl46IwWHli6lw05NQgCPDUridunxPZ7Ls1AxmYTKa5v5VBFMwcrmsmv0VFS30ZxfWuHkUFfE+ChISHIk4RgDxKCPRka6sXwcK8Oq8/nMmNj/Zg7Mpxv95bx9PcHWHHvJJQKgWAvF26aEMO7m47y2vpcvrlnIrNHhLIyo5yPthby0vyUHu/3gkSp+NiS17twut7ipj3W5RBFEUEQOPaykN4zenqdODZjzhZy8SEjM4D5roeRy8goH6qbjRyp0uGhVTnzS77dV0ZRXSt+7hpnVHhfUlCr58Ev9iGKUmLuDeOie3W7T3cU8Te7odO90wfx6EWDeX19Hi+tlcZD90wfxOOXDHG+YVY0tXHrx+kcqmjGRa3g5etSuXR4aJ//PgOd8sY2dhfWs6eogezyZg5XNKM3dT/TD/TUEu7jSoCHBh83DX7uGnzc1Pi4atCqFKiUAiqF9F0pCJisNlpNVtpMFvQmK3qjhZoWI5XNBqqajVQ1G6jXm6jVmajV1bH96LHxgUalIDncm1ExvoyJ9mP8IH/nGfm5yJOzklibXUVmaRPLd5c4X1O3T47l422F7C1uZPvROhZPimFlRjk/ZJTz5OzEHtOax8f5oxDgaI2eyiYDId59Y37n+DuLIrSZrbhpVAgIzp+BZNzXHV5y8SEjI9MVRXV69hQ1dHv5LZNieXujJNhcOC4Kb1c1ZquNV+1dj7unxfV5fLzOaOGOT9JpMVgYFe3LM1f2zkhs6c5i/vrdAQDumhrHYxcP4R8/HnKaoj00I4GHZyY4C4/s8iZu/Xg3Vc1GAjw0vH/zGGcb/HxGFEWO1urZll9HemE96YUNlDW2dbqeRqUgMcSTpBAvBod4Eu3nRpS/GxG+rv1isKY3Wsir1nGkqoVc+/fM0ibq9SbSixpIL2rgHY6iVgqMjfXjgiFBXJAYRFyA+znVpQr01PLoxYP5+w8HeX71YWaPCMHHTUOQlwvXjY7k0x1FvLEhj89vH09KpA8ZJY0s3VnMgzMSur1Pb1c1I8K9yShtYmteLfNGRfTJsbqqlQiCVGjojJYO/+6OXmlPwlOvftp+6y1y8SEjM0D5bl/33h4hXi6Eeruws6AetVJw6jq+Si+ltKGNAA8tN46P6dPjsdlEHl2+nzz7iutbN4zsVct9+e5inlqRBUhnkI9dMoTHvs7g271SV+fpy4dya7ttnA2Hq7lv6V5aTVbigzz4aPGYXvuGnIs0G8xsy6tl45FaNh2p6VRsKBUCw8K8GBXtS2qkD0NDpdXqM6l5cdeqSIn0IaVdASiKIgW1UoG8p6iBHUfrKKxrZWteHVvz6vjnT4dICPJgTmoYc1LDz5l/wxvHR7N8dwmHK1t4Y0Mef75MKrDvmhbHF7uK2ZpXx77iBhZPjOaR5Y0s313C/RfE92jaNTE+QCo+8vuu+BAEAbVCYdfxSOWGzd7ycByKrodcGYcb6tlCLj5kZAYgoiiyYl/3Ns43Toh2dg2uTAkn1NuVVpPFueFyz/RBuJ4gWOpk+e/aI6w5KLmQvr1oVK8Epl+ll/DEt1LhccukGB67ZAj3fLaXdYeqUCoEXrgmmbkjj70Zf7q9kL+tzMYmwsRB/ry1aFS/bOqcbYrrWlmdXcnag1XsKW7A2s4zQqNUMDrGl3Gx/oyJ8SUl0qfPO1h9gSAIxAV6EBfowbWjpY2Qglo9Gw5XsyGnmp1H68mt1vHimiO8uOYII6N8uGZUJHNSwwbk7+NApVTwxKxEFn+0myXbirhpQgyRfm5E+LoxJzWcb/aW8sGWAl68NoWnv8+mrLGN7UfrmBQf0O19Thzkz1u/5bMtr86pz+gPWk3HzMUsVhvGHtZ7w33P7qbYwH0GyMj8jtlf0khhXWuXl2lVCsbH+fPiGknweedUyfb5/c0FVLcYifRz7XM306/SS3h9w7Gk2rQo3xPeZvnuYp74NgtRhJsnRPPIRYO5+cNd7CyoR6NS8ObCkU5DMqtN5F8/H+KDLVJBde2oCP7v6hEd7NTPZURR5HBlC6uzK1mdXcWhiuYOl8cFujM1IZBpgwMZF+d3zmbTxAa4Ezs5llsnx9JsMPPLgUpW7i9nW34te4sb2VvcyL9/PsS8UREsGh9FfNDATB2eNjiQyfEBbMmr5cU1ObyyIA2AWyfH8M3eUlYdqOTPlyUxJzWMz3YU82V6SY/Fx+hoP1QKgcpmAxVNBsJ8+ueDX2cfs7hrVT16A8GxbJizxbn5DJeROc/pKbr7qtRwlu4sRhThwsQghoR4UtNi5B27/uOPlyT26QbCtrxanrR3L+6/IN55ltsTH20t4O92u+pF46N4YEYCC9/bwYGyZjy1Kt67eTTj7WZozQYzDy/bz/rD1fbjH8K90wedU1qB7iis1fP9/nK+z5BWnx0oFQJjY/y4dHgIFyYG9clIwmC2UtFkoLyxjTq9icZWE42tZhpaTTS1mjFabJisNkwWG2b7uq1GqUCtFNCoFKiVCtw1KnzdNfi5q/G1i1XDfV2J9HU76W6Fl4ua+aMjmT86kupmA9/tL2PpzmIK61r5eFshH28rZOrgQO6dPohxsX4D6t9bEASemJXI5a9t4fv95dwxJY7h4d4MC/NmbKwfuwrq+XxHMfNHR/LZjmJWHajk2VZzt+vIrholg4M9OVjRTGZpU58VHyIdN+GcmS4aJVUthh5vK3c+ZGRkOmC0WPkho3u9x4VJQdz7+V5AEmoCvPLrEfQmK8kR3lw+ou82QvKqW7j7sz1YbCJXpITx6EUndjB9Y0Oecw339smxLJ4Uw/y3t3O0Vo+/u4Ylt451eiPkVeu485N0jtbq0dqtruekhvfZ8Z8NalqM/JhZznf7y8koaXT+XKtSMCUhkEuGBTMzKRjfU5i5myw2Cuv05FbpyK1uIa9aR2lDG2WNbR2cLvsDf3cNEX5uDApwJynUy/7liX8Pmx4OgrxcuHPqIG6fHMfW/Fo+3V7EukNVbDpSw6YjNYyM8uG+C+K5MDFowBQhDnv1lRnlvLY+l3duHA3ArZNi2FVQz9Jdxdx/YTyJIZ4crmxh1YEKFoztvuOYHOHNwYpmssoauXR4yGkfn9UmOtfwHblHjm6Hh4uKiqaei48In7OrwZGLDxmZAcbag1U0tHbt1zAhzp91B6uw2kSmDwkkJdKHvGodX+wqAeCp2Ul9llZZqzNyy8e7abZvtrxwTXKP9y2KIi+uyXFapj84I4GLhwYz981tVLcYCfdx5dPbxhIX6AHAuoNVPLx8PzqjhVBvF969cTQjIs5Nq/Q2k5VfsitYsa+crXm1Tg2HQoBJ8QFclRrOJcNDTmoNtdVkIbtcOlPOKm3kQHkzBbX6DvqQ43FVKwnzcSHAQ4uvmwZfdzU+bhp8XNW4qJWo23U6lAoBi1XE1K4jojdaqG9nTFarM1La0EZTm5k6vYk6vUkqqNp15sK8XRgV48fYGF/GxPoxOMiz2+eJQiEwJSGQKQmBFNe18s6mfL7aU8re4kZuW5LOyCgf/nRpIuPsXbGzzYMz4vkhs9w5KksK9WJmUjBh3i6UNxlYc7CKK1LCOFyZw6oDlT0WHyMivFm2u4TM0qY+OTaniynHPDsqm6WCI9jThcoeio8QL5ezbhonFx8yMgOM5btLur3soqHB/N/Px9xBAZ7/5TBWm8jMpCDnKON0MZit3PlJOiX1bUT5ufHujaN6tGMWRZFnfzzIR1sLAXhyViKDgz2Z/852Wk1WhgR78vGtYwj1dsVmE3l9Qx7/tft7jI3x440bRjqzKs4VRFEkq0zyg1i5v5yWdpsFKZE+XJUaxuXJYb3+vcoa29hdUM/Ognr2FjWQW91CV3WGp1ZFfLAHCUEexAd5EOXnRriPG+G+rvi6qfulc9BskJxTi+taya3WOQ3OiupaKW8yUG73vADwcVMzNSGQCxODmDo4sNutiih/N/7v6hE8NCOBD7YUsGS75KNx3bs7mD4kkKdmJzE4+OxqQuKDPLlsRCg/Zlbw+vo83rhhJCqlgmtGRfDq+jy+3lPK364Yygurc9iaV0tTD6OXEfZuX1ZZU5+ITnX2LodaKaC1a6Mc3Y4QbxfKGjqvaDsYFuZ1Wo/dF8jFh4zMAKKkvpXNuV07IQ4O9uBQRTNWm8jUwYGkRfmyq6CeNQerUAhSRkpfYLHauH/pPvYWN+LtquajW8b02Fq3WG08tSKLL9Ol7Zx/zBmGQiFw+yfpWG0ik+KlrRUvFzU6o4XHvszgF3t66E0TovnLZUPPKWFpg97Ein1lfJkurWM6iPRzZd7ICK5KDScmwP2E91PZZGBTbg078uvYWVDfpZ9HsJeWEeE+pER4MzzCm6QQL4K9tGd8NOHlomZYmKR5mNXu5zqjhczSRnYXNJBeJBmhNbaaWZlRzsqMcgQBRkX5cnlyKLOTQwny7LwhFeTlwpOzk7htciyvrs9l2a4SfsupYUtuLbdMiuGhmYPPqnHZAxcm8GNmBT8fqKCgVk9sgDvz7MXHltwa3DUqhgR7klPVwtpDVVzTzSqto5BqbDXT1GbGx+30Vl2bDVJ31EOr6mDMBxDm48K6Q93HMsjFh4yMTAe+2tP9eu1lI8J4bb1kIPbQjAQsVpvTMfS6MVEk9MFZos0m8vg3maw7VIVGpeDdG0cxyD4m6YpWk4X7l+5j/eFqFAI8Ny+ZozV6p/nZvJER/HuutLVSVKfnjk/SOVKlQ6NU8OycYT22qQcSoiiyPb+OpbuKWZNdhckenqFRKZg1PITrRkdKTpY9jKUMZiu7CuolnUNuDUeqdB0uVyoEhod5MSbGj9ExfqRF+RDcy7ycs4WHVsXEQQFMHCRtelisNvaXNLIhp5r1h2s4VNHsNCH7+48HGR/rz7xREVyeHNqpkxbk5cI/rxrB7ZPj+NfPh1hzsIr3NhewMqOcP182lCuSQ8+KHmRIiCcXJgax/nA1S7YV8syVw4j2d2dsjB+7Cuv5dl8plw4PkZJuD3ZffLiolQR7aalqNlJU13raxYejy9H+OVJs35AL93HjcGVzl7cDGCoXHzIyMg6sNpGv07seuYT7uFJUr8diE5mSEMCoaF8+3lrAoYpmvF3VJxVl3x2O0cm3e8tQKgTeXDiyx9l7nc7IrUvSyShpxEWt4IVrUlhzsMrZfn94ZgIPzZBcS9dkV/LYVxk0GywEeWp5a9EoRkWfeF33bNPUZuabPaV8trOow7bKsDAvrhsTyZyU8B5n5yX1raw9WMWGnGp2FdR38F0QBEiJ8GFyfADj4vwYGeU7oP0veoNKqWC0vXj64yWJVDS1sSqrkh8yy9lntybffrSOZ3/IZu7ICBaOi+o0WokJcOfdm0azIaeaZ1ZmU1TXyoNf7OOr9BKevyb5rCQZ3zIphvWHq/kqvYRHLx6Ml4uaq0eGs6uwnl8OVPLMlcN45ddcth+tw2oTnQFvxxPl5yYVH/WtHQzbToVye6fMsTLbZrJSUCc9RyN8XSmp73rsIggwNvbsa2rO7We6jMx5xObcGsq7EYlNHxLIF7uKAXh45mBqWoy8tEbSTDx+6ZBebRyciFd/zePjbYUAvHhtstODoyuK61q5+aNdFNRKybn/unoEb2/MJ7O0CZVC4Ll5yVwzKgKz1cZ/Vh3ifbt/R1qUD28vGjXgz+gzSxv5bEcRKzPKMZilgsFdo+SqtHCuHxvVbZKpKIpklzezJruSNQerOoxlQBL6TR0cwFS7j8Tpnv0OdEK9XbnV7vtR2tDK9/vL+WJXMaUNbc5127Exftw1La7TpssFQ4KY8LA/7206yusb8ticW8vF/9vEM1cMY+7I8DPaBZkcH0BCkAe51Tq+Ti/l1smxzEwK5ikhi8zSJoI8tXhqVTS1mckubyI5wqfL+4nyc2d3YQPFdfouLz8ZHJoOx8rskaoWRFEKACztQe8xPMz7rLubglx8yMgMGJbuLO7y514uKgrr9NhEuGRYMKOifXn0y/20GC0kR3izYMzpjy4+3lrA/+zuqM9cMZSr07q3gD5Q1sTij3ZTq5M2WB6amcDT32dTqzPi66bmjRtGMnFQAOWNbdy/dC97ixsBae328UsTB6y+o80krTh/trOow0ZCYognN4yP5uq08C61BxarjZ0F9azOrmTdwaoOBaRCgDExflw0NJhpgwOJD/IYMKukZ5oIXzfuuyCee6YNYnNeLUt3FrHuUDW7CuvZVVjPkGBP7pk+iMuTQ53W8S5qJQ/MSGB2cih/+DKD/SWN/OErSTP0n3nJZ+xDVBAEbpoQzV+/z+brPVLxEeipJS3Sh73FjWzIqWFcnD/rDlWxNa+u2+Ij1B4q1xdr0Y6xXYy/pC86UC49ZxNDvNiW332C7pSE7s3QziRy8SEjMwAoa2xjzcGqLi8bEeHN1rw6lAqBxy9NZFdBPd/uLUMQ4B9zhnfb4u0tS3cW84zdEOyRmYNZPCm22+v+cqCSR5bvp81sJSnUi8tGhPCXFQcwWW0khnjy3k2jifRzY0NONY8u309DqxlPFxUvXpvCJcNO39ugP8ir1vH5ziK+2VNKs32DQKNUMHtECIvGRzMq2rdTwWC1iewsqOOnzAp+OVBJnd7kvMxNo2RqQiAXDQ3mwsSgU/LzOJ9RKASmDZbcXKuaDXy4tYDPdxSTU9XCw8v389LaHB69aDBzUsKdGppBgR58ffcE3tl0lJfXHWHtwSoOlG3mjRtGMrIXbrt9wRUpYfzjx0McrGh2rt1eNDREKj4OVzNxkFR87C/pPgzSxz6ia2zrepX+ZMi2FxuO9fRt+VLa8OgYX37Lqen2dtOHBJ32Y/cFcvEhIzMA+HxHUZc/VysFp7BswZhIovzcuM9uMLZgTNRpz40/2V7I099LotXbJsfy4Iz4Lq8niiKvrT+2Hjshzp9wX1detI9+Lh0WwkvzU1ApBf7vp4O8t1kasyRHePPGwpEDLlTMbLWx9mAVn+0ocr5pg7SxcsO4aK4dFdFplGW1iewqqOenrHJ+OVBJre5YweHrpubioSFcMjyYiYMCelxLljlGsJcLT85K4t7p8Xy2o4gPtxRQUt/GI8szeHdTAX+6dAjTBgciCAIqpYL7LojngiFB3L90L0dr9cx/eztPzU7ilkkx/d5R8nHTMCMpiFUHKlmxr4ykUC8mDpK0E+mF9dxuD0c8WNG90NORJNt8msVHrc5IRZMBQYCkUC9sNkkQDTAk2JOX1+V2ebsIX1dGDxCtlVx8yMicZQxmqzMk7ngGB3uSXd6Mm0bJQzMTeGNDHocrW/B1U/P4JUNO63E/3FLAsz9KHY87p8bx5KzELt/A20xW/vh1Bj9mVgDS6Keq2cjX9s2cR2YO5oEL48mt1vHQsn1OncPNE6J56rKkPrV6P10qmtr4YlcJy3YVU21vfSsEyab+hvHRTEsI7LCxYrOJpBc18GNmOT9nVVKrO9Yu93FTc+mwEC5LDmV8nL/TZVLm5PF2VXPfBfHcOimWj7YV8NZv+RyqaGbxR7uZFO/P368cTnyQtHU1NMyLlQ9M5k/fZPJTZgXP/niQjNJG/jMvud+LvjmpYaw6UMma7Eqemp3EsDAv3DRKmg0WZweypF4yZesqENFxHWv3PnG9wlFoDA7yxEOrIqOkkXq9CXeNske9x9y08D4zITxd5OJDRuYs81NmhVPU2B5BgCq7Y+EdU+KoaTHy+nop3O3ZOcNPq53/7qZ8/vXzYQDunT6IP14ypMvCo6KpjTs/2UNWmSQknZEUxK6CemmcolXxwrUpXDw0mI+3FfLcL4cxWWz4u2t4/ppkZiR1L1g9k9hsIlvza/lsh6QxcDiEBnhoWDAmiuvHRXUI2RJFkczSJn7IKOfHzAqnayRIH5KXDAvmsuQwJg6SC46+xlWj5N7p8Vw/Joo3f8tjybYitubVMeuVTdw5NY77L0jAVaPEQ6vi9evTGBPtyz9/OsT3+8spb2zjnRtH96sOZHJCIGqlQGFdK0drdMQFejAyypctebXk1+gJ9XahoslAfo2uy3GQ4yUmiqdXfWw8Io1Vpg0JBOD7/dKG2YVJwfyUVdHt7a4e2b2W60wjFx8yMmcRURSdSa7H465RUaszEeyl5ZZJMSx4dwcWm8is4SFcnnxq+S2iKPLGhjznuOTBGQk8MjOhy8JjW14tDy7bT63OiJeLioRgT1ZnS7qU4eFevLFwJC5qJYs/3s0m+5vhhYlB/Gde8oBwK21sNfH1nlI+31lMQe2x7YJxsX4sGh/NJcNCOohfcypb+CGjnB8yyylqlyjsqVVx8bAQLk8JZdKggAErmD2f8HXX8OfLhnLThBj+tjKb9YereWNDPt/vL+f5eclMjA9AEAQWT4olIdiTuz/bw+7CBq5+cytLbhnbK5O3U8FDq2JsrB9b8+r4LaeGuEAPEkM82ZJXS161jhB78VHd3PXWmuMk43S6gRarjd9yJAOxqQmBWKw2VtrX2+MDPbrNhbpkWDCx/fR3ORXk4kNG5iyyu7Ch2xmxzm7X/dfLh/Lh1kLnuOXZOcNPab5ttYk8szKbT+36kkcvGsyDdov246/32vpcXvk1F1GUzvbdNEr2FElCupsmRPPU7CRW7i/nHz8dpMVgwUWt4M+XDWXRuKizus0hiiIZpU18tqOIHzLKnb4aHloV80aGc8P46A6+EoW1emfB0d70y1WtZObQYK5IDmXq4EBZw3GWiPRz44ObR7PmYBV/X5lNaUMbC9/fyS2TYvjTpYm4qJVMig/g23smcsvHuymqa2X+O9tZesd455imr5k4KICteXXss4cGxgZKH+gFtTqC7EV3dTfbLE12rUdXI5nesvFIDbU6E37uGsbG+vFLtjQO9HfXcLCi+9yY+y7oWs91tpCLDxmZs8hbv+X1ePnk+AAifd14eNl+QBq3nEpXoc1k5cFl+1h7sApBgL9eNpRbJ3feaqlpMfLI8v1syZNW9TRKBW0mK01tZjy0Kp6bN4KUCB9uX5LuvE5yhDf/nZ9CfNDZy+FoM1lZmVHGZzuKySo79gacFOrFjeOjmZMa5jTwKm9s46fMCn7ILO+wUqtRKpg2JJArUsKYmRSEm+bcfHu0WG20mq20mazojRZaTVYMZisWm4goSgWaCNhEyQxLq1LiolbgolbiolbioVHh6aIaMNoAQRC4ZFgIk+MD+L+fD7F0ZzEfbS1k05Ea3rxhFENCPEkI9mTFvZO48YOdHK5sYcG72/ns9nEkhvS9k2eyfbsks7QROLbqWtLQ5hRzNnYTDFlptz8P8Dz10ZAj++nqtHDUSoE37UGOk+IDnB2Q45k2OLDb9d+zxbn56pKROQ84UtXChh5W4tRKgT9cPJj7v9iLxSYye8SpjVvqdEZuW5LO/pJGNCoFL1+XyuwRne9ne34dDy7b18GDwGEjnhLpw3/np7DpSA0X/28TbWYrWpWCP1w8mFsnxTp9Gc403a3JXp4cyg3joxkZ5YMgCNTqjHy7t5SVGeXsLjy2CqlUCEwc5M+VKWFcPCzktM5I+xOL1UZ1i7ThUNHURmWTgcomA/V6kzOFtk4vfdebrKf9eEqFgK+blIjr56Yh0EtLhI8rYfavCF9XYgPcz2hHyF2r4l9Xj+CipGAe/yaT/Bo9V72xlefmjWBOajiBnlq+uGM8N364kwNlzdzw3k6+uWdin49ghodJxUdRXSutJotzg8UR9AbQXdlWYB/nxfqf2jHl2vNjAK4bE8nag1UcrJAE6YU9GJc9fcXQU3q8/kQuPmRkzhLvbDza4+V3TInjnY1HKalvI8LXlX9fnXzSI428ah23L9lNYV0r3q5q3r95NGNi/Dpcx2C28uLqHD7YWsDxOjiVQuDhmQlMjA9wmjyBpJv4z7zkfput94TBbGXdoSqW7izutCa7aFw0146OxM9dQ1Orma/SS/khU4q5b58QOzbWjytSwpg1PISAPnCH7QvaTFaK6vUU1rZSWKensFZPYZ2eorpWqpoNXSbc9oRSIeCmVuKqUeKmUaJUCCgEAUEAAem7xSZitFgxmG0YzFaMZhsmqw2rTaRWZ+qwTnw8giDZhccHehAf7MHwMG9SI32I8HXt19HbBYlB/PLQFB5aJnXoHlq2n8zSJp6anYSvu4bPbx/Pwvd2kF3ezE0f7uKbeyb2qQbJx00aQ7aarFQ1G3HXSgWY3mjBZn8BdfXr22yis1syJOTUuoSvrs9DtJsNRvm5cevHuwEpxbZ9F689918Q32M+09lCLj5kZM4C5Y1tfLO3+xC5uAB3PF3U/JJdiVop8MbCkT1miHTFLwcqeOyrTHRGC+E+riy5dWynOfj+kkb+8OV+8ms6nzUNDvbgr5cP5eesCua9tQ1RlLQTT8xKZOHYqDPelj9Q1sRX6SV8t7/cOTt3rMkuGh/N1IRA2uyFyQ8ZFWw8Uo253U5jSoQ3V6SEcVly6FnJB3HQYjCTW63jSGULOVUtHKlq4WiN3unn0h0qhUCwlwuh3i6E+rgS4qUlwEOLr7vUnfDzkL57u6px0yrRKBWnVAQYLVYaW83U2zsp9a0mKpsMlDcaKG9so6yxjeL6VprazBTVtVJU18qvh48lqPq5a0iJ8CYl0ofxcf6MjPLtc5Guv4eWJbeO5eV1R3htfR4fbCmgvLGN/12Xirermo9vGcu8t7ZRXN/K7Z+k8+Vd4/ts5VsQpH+Hglo91c0G59aZSik4i7WuNtGOVLfQ2GpGq1IwLKxre/6e2J5f5xSTPjgjgZfX5VLa0IZCoEPuUHsSgjy4/8KBpfVwIBcfMjJngVe6MQEC6QN10fho/r3qEABPzU46KTMxi9XGi2uOOJNlx8X68frCkR3O/kwWG6/+mstbG/Odq6ftH/+WSbGEertw/9J9zg/6q9PCeXJWIkFnMJelQW/iu/1lfJVe2kGYG+rtwryRESwYG0mAh5aNR2p4cNk+fj1UTZv52NghMcSTK1LCuDw5lOhTbHWfKlabSEGtnuzyJg5WNHOksoUjVTrKGrv3YfByUREb4E60vzsxAe7E+LsR7e9OhK8rAR7a03az7Q1alZJgL2WP+TuiKHVG8qp15NVIhVRmaSMHK5qp15vYkFNjHynm4qpWMi7Oj8nxAUwfEthn2iClQuAPFw8hIdiTx77MYNWBSur1u/joljEEemr55NaxXPXmVjJKGvn3z4d55sphffK4IBWCAFZRpMHubuvrpqGkXhqrRPt1fq6tyqoEJB3XyRZjbSYrf16RBcAN46Ko1Zmcr++eOmLv3DhqwIql5eJDRuYMU1zXyvJu0msBLksO483f8jBbRS4ZFsziiTG9vu86nZEHl+1ja540jrh9cixPzErsoMnYnl/H098fILda1+n2I8K9mZkUzKoDFU6zsKRQL56dM6zTuKa/sNpENufW8FV6KWsPtouvVyq4eFgw146OZHycH9vz6/jf2lzWZFfSYjw2b4/xd+OKlDCuSAnrlJjaX5itNnKrdBwobyK7rIkD5ZIFd2s3+otgLy2Dgz0ZHOzJkGBPBgV5EBvgjq+b+pzIfhEEgUBPLYGeWiYMOpaQarRYOVTRQkZJI3uKGtiWX0utzsRvOTX8llPDP386xKBAd2YND2XWiBCGhnqd9u97ZUoYgR5a7vwknZ0F9dy+JJ0PF48hJsCd/85P4daP0/l4WyGT4wN6DEs8Gcz256RKoXBqLTxcVBwslwpkxwZM++t/ZX/NX55ycrotURR5akUWR2v1BHlquXZ0pHPc0hNvLxpF3AActziQiw8ZmTPMC2tyur0s3MeVrNJGanUmkkK9eGl+aq/fnH89VMWfvsmiVmfETaPkP/OSuSIlzHl5dbOB//v5kNOQqD0eWhUXJAZJrWt7wJy3q5rHLh7MwnHR/X7G7ViR/X5/GT9mVnQQvQ4L82L+6EiuSAnjSJXkxfHI8v3Ut8tTCfV2kQqO5DCGh5/+B1pPGMxWDle2cKCsiezyJg6UNZNT2eIsktrjolYwNNSLoWFeJIZ42QsOj1NKszVarJIOo8VIfauJ5jYzzW1mmtrMNBssNLWaaTaYJe2GxWb/6qjjaK/3EACFIKBR0WkIvAAAHcJJREFUKZy6EFe1CjeNEnetCj93Nf7uWvw9NM7vYT6uPYpytSolqZE+pEb6cPPEGGw2kZyqFrbm1bIpt5bt+ZIZ1+sb8nh9Qx6DAt2ZPzqSuSMjTkuXMWGQP0tuG8uN7+9kW34djyzfz5s3jOTCxGDumBLLe5sL+NvKbCbFB+CqOb1OgMVqc4YHhnq7sGJfGSAJTi02kQhf1w6mdQAr9pVR3mQgwEPLrOEnV3y8tTGfFfvKUCoE/nxZEvd9vrfDc78r/jNvBJcOH5hZSg7k4kNG5gySa//w7AqNUoHFZqOs0UiQp5YPF4/uMkX1eHRGC//88SDL7Ct4g4M9eH3hSOdZv9lq49PtRfxv7ZEOHQIH8UEeuGmUzuPSqhQsnhTDvdPiT1pncrLkVetYub+M7zM6Gnv5uKm5KjWcK1PDaGo1s/ZQFW+8vKmDf0KAh4bZI0K5IiWMUVG+/aJBMVqsHKnUkVnWSFZpE1llTeRUtmDpotft6aJiWJgXw8O8GR7uzfBwL2IDPE5YuImiSHObhdLGVsobDZQ1tFLeZKCiyUBti5EanZGaFqNz/HW28XRREeHrRoSvqyQ4DfJgcLAHCcGezs0PBwqFQFKoF0mhXtw+JY5mg5n1h6pZdaCCjUdqyK/R8+9Vh3lhdQ4zkoK4Y0oco0+xwzYyypePbhnLovd3supAJa+vz+OBGQk8ctFgfsqsoKyxjQ+3Fpy230V+jR6TxYaLWkGQl5Z19u2TAnsH5PhNsqZWM8//Ip1w3Dk19qTGIB9uKXDe9vqxkTz/S06PYzuAv185jOv6IOm6vxHE0/V57WOam5vx9vamqakJL6++39GWkTlbiKLIjP9u7FYc5sBVreTLuyY40yp7YsfROv74dQYl9W0IgjRm+cPFQ3BRK7HZRH7KquClNTkUtvtgb4+Pm9rpSaBUCMwfHcFDMwYT4t1/uo6CWj2/HKjkx8xyssuP6Thc1UouGhrMlIQALDaRjTk1bMqt6TC68HJRcenwEK5ICWNCnH+frviaLDaOVLWQVSYVGVmlTRyubO4gWnXg566RCowwL/t3byL9ut/yMJitlNS3UljXSmGtnqJ6PaUNbZKAs6Gt1+uxaqVAoIcWPw9JWOrlIn15u6nxclHh6aLGVaNEq1KgVSnRqhX2/1agEAREsG80SZ4fNlEqsFpNki9Iq8lKq8lCi8FCQ6u0vluvM1GnN1KrM53wjDvU24Xh4d6kRfmQFulLcoS301/leHRGCz9mlLNsd4lziwpgZJQPd08bxEVDg0+pg7VsVzFPfJuFUiGw8v5JDAvzZsW+Uh5ZnkGAh5ZtT1x4WgLYV3/N5b9rjzB9SCDXjIrg/qX7nJcJAqx7dJpzu0QURe75bC+/ZFcSF+DOqoen9Er4arOJPL86x6nrSIvyoaBW361/iIM3bxjZ5Rr9meJkPr/l4kNG5gzx66EqbluS3uN11EqBd28czQWJPcdeV7cY+PfPh50t33AfV16an8L4OGn+vjm3hv/8cpgDZd0nbDoQBOls7dGLBvfLSp4oihyqaOGX7EpWH6gkp6rFeZlKITAlIYARET4ISHqU9KL6DiK6EC8XZg4N4qKhIYyP8+uTrQWHRiOrrNFZaByq6Hp04uOmZkS4NyPCvUmO8GZEhA9h3i6dPhgNZitFda0U1OopqtMfKzTq9FQ0GzqtMR+Pv7uGcF9XwrxdCfd1JdTbxamrCPLUEujhgper6qxqQlpNFsoa2ihtaKO0oZWC2lZyq1vIrdJ1yMBxoLCnrk5OCGBaQiCjYny7/PfLqWzh420FfLO3DJPdlXZklA9PzU46pU7IfZ/v5aesCkZF+/L13ROw2EQm/Hs9tTojn942likJgSf/yyP9/tNf+I3qFiP/vGo4b2/M7xDkNjctnP9elwpIz/vnVh3mnU1HUSsFvrlnYq+Mvmp1Rv74VUaPHkBdseLeiaR1kSdzJpGLDxmZAYbBbCXxr7/0eB2VQuCtRaO4qAdRnMVq45N2IxRBgOvHRvHkrEQ8tCo25dby1m957Dhaf8JjUikE5o4M565pg/q86LBYbewraWRNdiWrs6sorj/WeVEpBIaFe+PlosJDqyKztKlTK3loqBczhwZz8dBghoWdnobDYrWRV6Mjs7SJA2VNZJY2caii2Wm93h4vFxXJET4MdxQa4d4dfCtEUaRObyK/Wkd+jZ78Gp3zq7ShrccCw0OrIibAjRh/d6L93Yj0dSPMx9VZcByvRTBbbTS0St0Gae3VTGObCZ3Bgt5oocUofdcZLeiMkpupyWLDbJU0HmarDbNFlL5bbSjsPh/SF07fD61agbtGhatGibtGiZtWhbtGiY+bBn93DX7uGqfuI9jLhSBPbZcjrqY2MzmVkth0X0kD+4sbndoIB24aJRMHBXBFSigzk4I7dUWqWwx8vLWQj7YWOreWrhkVwdNXDO000umJqmYDU57fgMli45t7JjIq2pdHv9zPt3vLeMg+ijkV/v3zId7ZdJQIX1dSIn34KfNYiFuAh5Y1j0zFz12DxWrjbyuz+XxnMQDPz0tm/pjIHu9bFEV+zKzg7z8c7JCefCImDvLnrUWjBoRB3sl8fsuaDxmZM8CT32b1eLlSIfD6wrRuCw+bTeSX7Er+u/YIefYtlZQIb/5x1XCGhnrx84FK3v4tv9ucmPa4qBUsGBPFHVPjOgnjTofqZgO/HalhY04Nm3NrnI6jIBUcvu4a3DVK1EoFB8qaOqz4apQKxsb6cdHQYGYODT7l47LaRPJrdE59hmP9s6vUYE+t6liRYS80ovzcEAQBi9VGSUMbOZUt/JxVQX6Njjx7wdGT9sLTviob439sTdaxMuvnrkEUoVZvpLrZSFWzgdKGNtKLGqhuNlBjF5I63EpbDJ31OQMBtVJwupxG+LgRF+jO4GBPEoI9GBPjy9jYY52KyiYDOwvq2Hikhk1HaqnVGVl3qIp1h6pwUSuYmRTMwnFRTIjzRxAEgjxdePzSRBZPjOF/646wbHcJX+8pZWteLW/eMLLXZ/bBXi7MGh7C9/vL+fVQFaOifYnwdQM4qQ/29qzYV8o7myRjQFGkQ+GhVgq8fF0qfu4ayhrbePzrDLbm1SEI8LfLh56w8Nhf0sh/Vh1m+9G6Hq93PB8uHs2FiQMjPfpkkYsPGZl+Jr2w3jke6QoXtYLXrh/ZZeEhiiIbcqp5ac0Rpz7Cx03Nny5NZGZSMN/uLeWez/aeUIQGkhvlovFRzB8deUrbFsdjMFvZV9zI5lxpjbKnwscqitS0GGnfSI4LcGfq4ECmDQ5kXJzfSWep2GwiR2v1ZJU1Orsa2eVdr7e6a5TOQkP67kO0nxt6k4Wj9g7Gl+kl5FdL/11Yp+9S6wHSmCrC15VBgR7tvqQiw2ITKW9sc5pxZZQ2sjq7kqoWI9XNBqpbjJ18VXpCECT/CF83NX7uGrxdNXi5qHDXqvCwd44cX+5aJVqVVNyplQJqlQKNUoFaqbCLXkWsNinTxSaK2GzSv4vR7NB6WNGbLLQaLehNVslgTG+iVm+iXm+kTmeiusWI2So6zcWg44elu0bJ0DAv0qJ8SY30YWSUL3NSw5mTGo4oihysaGb1gUpWZpRTWNfKj5kV/JhZwZBgT+69YBBXJIehUAgEebnw77nJzBsZwWNfZVBY18qCd3fw3k2jmTq4dyOT5Agfvt9fTpG961Zl78KcbIdAFEU+3FrIP3866PxZ+9ebUiHw2vVpjI31Y8m2Ql5YnYPOKIUtvrIgjUuGdb11YrOJbMmr5aOtBSc9YrnvgkHcf0HCaW/unE3ksYuMTD+iM1oY/rfV3V4e4KHhg5vHdDIRM1tt/JxVwQdbCpy2yR5aFbdOjmV4mBc/ZFZ0uzXTHkGA6YMDuWlCDNMGB57WRojBbGV/SSM7jtax42gde4sbnfP53uDtqmZ8nB9TBwcyNSGQSD+3Xt/WbLVRUKvnUEUzWaVNZJZJfhpdCTXdNErnxklyhDdJoV4oFVBYK+kxjtbqKajVcbRG3236KEhFYVyAB4OCpOIixMsFV43kHFqnNzkLDKnYMFDZbOhVYaEQpBZ9sJcLwV5agrxcCPGS9B2eLipUCgGlQoFKKSAAeqOVFoOZFoOFNrOVNrMUFCd92WgzWTFYJMGo0WJDFEWs9uLCWWiI0n+r7ffrLFCUClRKBW5qpbOY8XQUNS4q/N21BHpqCPRwIcBTg0apoKrFSGl9K6UNktNpXo2O3KoWCmq7LtjigzyYmhDIBYmBTpGwKIocKGtmeXox3+4tcxaMw8K8eP6a5A4OoDqjhQe/2Mf6w9W4a5SsemgqUf4nfu44RiQLxkTyyEWDmfHSRnRGy0lpPorrWvnbygPdFgf+7hpemp9CdYuR19bnUlIvFSUjo3x4/pqULpN1q1sM/JBRwWc7iiio7Vl8fjy3TIrh0YsG43kSI6gziaz5kJEZAIiiSOyTP3d7eWKIJ+/dNLrDh3Cdzsjy9BI+2VbkFPC5qBWMi/UnzMeVZbuLTyhcBBgU6M7ckRFclRZ+yiOMer2J/fbZ/a7C+lMqNsbF+jE+zp/xcf4khniesPix2kSK61vJqWwht+qY/Xh3H2wuasmqekS4N0FeWjy0KgSg0C78LKjVU1zf2mNREOipJcbfTdoUsSe7umoUiKI0NnAUGM29GIOoFAKhPi6EebsS4KlF26774PjAVygEmtrMHcLgGtvMtBjMXY6HBhIeWhURvq5E+rkRZf9KCPZgaKgX7loVBbV6Mkub2FfcwL7iRg5XNncQDwd4aLgiJYybJ8Q4c4Ga2sx8sq2QdzcdpcVoQa0UeOGaFK5KC3fezmSxccP7O9hd2MC1oyJ44dqUHo8zr1rH1W9spcVo4a+XD+XrPaUcqmgmOcKb7+6ddMLnYX6NjiXbCvlke1G314nxdyM5wofNuTU02LdQAjy0PDgjnhuO88YpbWhl/eFqVu4vJ72oobu77JZ/zx3BNaMiUJ+lAMfeIhcfMjIDgDlvSNbOXbFwXBRPXz4UF7USs9XGhsPVfL2nlPWHqzt4SCgVQq/b9IGeWmYPD2HuyAiSI7xPSqRptFg5WN7M/pJG51dRN+u53RHm7UJalC+jon1PWGwYzFYK6/QU1EidiPxqHUfsWxNdCUFBWsX1clXh46rB202Nj6sapUKguF4qNLpzE3UgCODSbv3URS2tpOoMFipPMrhNo+p4H47vCkFwikRPdDznG6HeLowI92Z8nD8TBkn//s1tFrbm17Ixp4a1h6qcq7oKAa4bE8VTsxOdZ/G1OiNPfpvF2oNVKBUCPz04mcSQY58Bq7IquOfzvSSGePLLw1O7PAZRFPkhs4Knvz/gXEt11yjRm6z4u2v49t6J3drsN7aa+PVQNUt3FbPnJAuEMG8Xbp4Yw00TYnDVKKlsMrC3uIGNOTU9uhn3xIIxkTx60eAzGmdwusjFh4zMWebqN7eyr7ix089d1ApevDaFi4YGsy2vjtXZlaw5WHVC/4TuiPZ345JhIVwyLJi0yBMbbYl27cWhyhYOVTQ7v/Jr9CelRdCqFCRHeJMW5cvIKB9SI307eYNYrDZKG9o6jDoco4/eaFTao1EqsIlil+ZeMmcPlULARa1E14V5XaSfK3PTIrh1UizebmrMVhubc2v4ZHsRv9nHGCPCvfnmnolO3w2bTeS6d7ezu7CBBy+M59GLhwBSJ+PBL/ZxsKKZy5NDeX3hyA6P1aA3sTq7ko+3FTpjAdozItybNxaO7DCuMZitZJY2sTm3hrd+yz/p55ZGpWBqQgCT4gMI93FlX0kjX6WXnrKgFeDmCdHcNW0QYX0oBD+TyMWHjMxZJOaJn7r8+dgYP6YnBnKgrImNOTW9NpY6nikJAUxJCGDq4ECGBHt22eGw2kTKGtrIt2sbjtZI39OL6rsVUnaHh1bltAgfGubFsDDJJtwmilQ0SmOJ0obWY/4PduOs3mog/r+9e42J8krjAP6fYZh3uA6XUYZRblsv1EtVYItg8JKtdKnBtjZdbROWfrBZzJoWqdngtgnWiJe6aZvUUjVtXfthW5vt1v1Qm0iyrtal9UJga9CuWCljdUYElBlRZmA4++EdRrnIpcD7zsD/FydxzrzMPOZ4nMfznvOcyUofpEW4QV4oGqbvWTR6f/FomKRDhLctVNLBoNNCCpbXnPQUDtM/+AjSQqeVv8R7/kpoNPI5LBrIfyd823C7BNweD9xdAq4uj7xdt0MuLubskMu137rrxk2nC03exbKD3XZKig3FzKkRmBMfgdqf23C2odW3VdYULuHzPyzudc7Iv//XhJcOyueT/G19JrJnmHC19S4+P3cV+09egburG6V5qUiMCcWRmmu+GcGYMD3+XpSF2HAJ3/98G6evtOLj/zQ8dJZpWlQINix/BE/Nj0f9DSdOXLqJv1b95DezUmmJUfjTb1ORkRQ9pgXz1MLkg0gFJy/dxO8/PjPm77sgIQpZv4rFkhmx+HVyDAzBQRBCoLXd7f3iv+f94r+Li3YnzjQMXeNjIDqtBsmmMMyYEg5ThHw8+5QICVJwkLxTxSlvD73hkBOOJqdrWOtPJjKdVgNjSLBcbTQkGFGhwb7nUd42Y0gworxH3fteCw3229NGH+ae2+O7xfVTSzsu2Z3478+38eMDFXsXJUbhHxuycetuJ3Z//YPvlsOG5Y9gbUYCvr/WhlP1N/HP2uu+22vLZk3BBZuj13k+E9Wfn0rF6gXTxrWCsJr8IvmoqKjAnj17YLPZMHfuXLz77rvIyckZ8ueYfFAgsbbcxdI9x8f0PdOTojErLhyJMWGYGiGh+Y7Lt/DyB9vA54qMRoRBB1O4BJ1Wg4bm9kl5a6OnqFakN2mICpUf8nM9IkN0fQ5ekxem6oO03oJe4n6Br677Rb66PD1FvgS6uuXXuroFOru60emdiejyvt5zfVe3gICA9xeEd7dKz++91dGh0UDeraLVQOddzKrTaiEFaxEu6eQibgYd4iINmDE1HFMjRveF13MGzfU2+VZa3fU21Fhvo+rHkdWmmAxeyk7G7zISMNscMe6HMvoT1YuMHT58GMXFxaioqMCSJUuwf/9+5OXl4cKFC0hM9P8Db4gAeYW9re0eqhtv4eSlmzgywGmw46G68daIF7yNhtM73T6Ztbs9aHffG/FalECSkRSNFalTcbX1rm+Rb8svXGs02a2cE4c1i6YhIzkGpnC9qiXvA9W4zHxkZmYiLS0NH3zwga/t0UcfxTPPPIOdO3cO+rOc+SDA+z884S2C1NWNu94y0o6OLjjudeL2vU603Om5FeCC3SHXWrC13fP77YpE5H9+kzpVPiE5KRrxRsOEWIOhNFVnPtxuN6qrq1FaWtqrPTc3F1VVVf2ud7lccLnu3+tzOIYuD/1L7f1XPf5y7NK4vT8RESkrOjQYS2fJBcwWJkYhOTYs4NbTTEZjnnw0NzfD4/EgLq53qei4uDjY7fZ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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From 3bdbd484e3a22dd8a35b6d688f88cc3008618972 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Thu, 19 Aug 2021 22:56:59 -0400 Subject: [PATCH 10/73] Added second order example --- .../rosslerAttractorTest.ipynb | 4 +- .../secondOrderExampleTest.ipynb | 241 ++++++++++++++++++ 2 files changed, 243 insertions(+), 2 deletions(-) create mode 100644 examples/ode/second_order_example/secondOrderExampleTest.ipynb diff --git a/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb b/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb index e4444bfd..d5ba4b19 100644 --- a/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb +++ b/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb @@ -29,7 +29,7 @@ "metadata": {}, "outputs": [], "source": [ - "# Lorenz 63 equations\n", + "# Rossler Attractor equations\n", "def x_prime(prev_val, coeffs):\n", " return -prev_val[\"y\"]-prev_val[\"z\"]\n", "\n", @@ -41,7 +41,7 @@ "\n", "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", "\n", - "# Initial conditions [1,0,0]\n", + "# Initial conditions [0,0,0]\n", "ode_init = {\"x\":0, \"y\":0, \"z\":0}\n", "\n", "# Constants (Parameters)\n", diff --git a/examples/ode/second_order_example/secondOrderExampleTest.ipynb b/examples/ode/second_order_example/secondOrderExampleTest.ipynb new file mode 100644 index 00000000..843d2845 --- /dev/null +++ b/examples/ode/second_order_example/secondOrderExampleTest.ipynb @@ -0,0 +1,241 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Equations\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return -prev_val[\"x\"] - coeffs[\"alpha\"]*prev_val[\"x\"]*prev_val[\"y\"]\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"y_\"]\n", + "\n", + "def y_prime_prime(prev_val, coeffs):\n", + " return -prev_val[\"y\"] - (prev_val[\"x\"]*prev_val[\"x\"] - prev_val[\"y\"]*prev_val[\"y\"])\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"y\": y_prime, \"y_\": y_prime_prime}\n" + ] + }, + { + "source": [ + "# Initial conditions: (0, 0.436630946376151, 0.095, 0.03)" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "ode_init = {\"x\":0., \"x_\": 0.436630946376151, \"y\": 0.095, \"y_\": 0.03}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"alpha\": 2.}\n", + "\n", + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(100000)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000, 0.4366, 0.0950, 0.0300],\n", + " [0.0044, 0.4366, 0.0953, 0.0291],\n", + " [0.0087, 0.4365, 0.0956, 0.0283],\n", + " ...,\n", + " [0.0182, 0.4362, 0.0965, 0.0257],\n", + " [0.0226, 0.4359, 0.0968, 0.0248],\n", + " [0.0269, 0.4356, 0.0970, 0.0239]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Y\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Initial conditions (0, 0.427001854016272, 0.095, 0.096)" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "ode_init = {\"x\":0., \"x_\": 0.427001854016272, \"y\": 0.095, \"y_\": 0.096}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"alpha\": 2.}\n", + "\n", + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(100000)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.4270, 0.0950, 0.0960],\n", + " [ 0.0043, 0.4270, 0.0960, 0.0951],\n", + " [ 0.0085, 0.4269, 0.0969, 0.0943],\n", + " ...,\n", + " [-0.1285, -0.1269, -0.2972, 0.2671],\n", + " [-0.1298, -0.1264, -0.2945, 0.2708],\n", + " [-0.1310, -0.1258, -0.2918, 0.2744]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 27 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-19T22:55:30.449604\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Y\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From 8ba7cbabfbdfbc4a8f6ed7c5579a9def0ffd53ae Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 00:04:02 -0400 Subject: [PATCH 11/73] Trained with Lorenz 63 data --- examples/ode/lorenz63/Lorenz63Train.ipynb | 346 ++++++++++++++++++++++ torchts/nn/models/ode.py | 25 +- 2 files changed, 370 insertions(+), 1 deletion(-) create mode 100644 examples/ode/lorenz63/Lorenz63Train.ipynb diff --git a/examples/ode/lorenz63/Lorenz63Train.ipynb b/examples/ode/lorenz63/Lorenz63Train.ipynb new file mode 100644 index 00000000..3330247e --- /dev/null +++ b/examples/ode/lorenz63/Lorenz63Train.ipynb @@ -0,0 +1,346 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", + " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", + " ...,\n", + " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", + " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", + " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-19T23:52:06.661303\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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0hkvPnTsXi8XCrFmzHMcMw+DBBx8kJiYGPz8/xo4dy7Zt2063ThGRNm9NWhGXPb+aq176kY1Zpfh6ezBzdDLL/zSeP57dTcFDWky76XZZu3Ytzz//PH369Dni+GOPPca8efN45ZVXSE1N5eGHH2bixIns2rWLoKCg0y5YRKSt2ZBVwrxFu/lhbyEAPl4e/H5oPDeP7UKnIF+TqxN30C7CR2VlJb///e954YUXePjhhx3HDcNg/vz53H///Vx00UUAvPrqq0RGRvLmm28yc+ZM51QtItIGbMkpY97iXXy/6yAA3p4WLhscx63juhId4hrN39L+1TbYyCtrWqDOVcZ8nFK3y6233sqUKVOYMGHCEcfT09PJz89n0qRJjmNWq5UxY8awcuXKXz1XXV0d5eXlRzxERNqynfnl3PjaOqYu+IHvdx3E08PCpYNi+e7usTx8QW8FD2lVq9OKsNkNokN86RRkNbsc4BRaPt5++202bNjA2rVrj3kuPz8fgMjIyCOOR0ZGkpmZ+avnmzt3Lg899FBzyxARcTl7CyqZ/81uPt+Sh2GAxQIX9OvMnWelkBgRYHZ54qaW7W7q7huT2tFldjtuVvjIzs7mzjvvZNGiRfj6Hr+f8ui/nGEYx/0L33fffcyePdvxdXl5OXFxcc0pS0TEVBmFVTz57R4+3pSL3Wg6NqVPNHdNSKFrJ411E3Mt3V0AwOjUjiZX8rNmhY/169dTUFDAwIEDHcdsNhvLli1jwYIF7Nq1C2hqAYmOjna8pqCg4JjWkMOsVitWq2s0A4mINEdOSTX/+XYv72/IwXYodUzqEcldE1M5IzrY5OpEmq7RfQer8PSwMLJrhNnlODQrfJx11lls2bLliGPXXnst3bt3509/+hPJyclERUWxePFi+vfvD0B9fT1Lly7l0UcfdV7VIiImyi+rZcH3e3hnbTYNtqbQMa5bR2ZP7Ebv2BCTqxP52eEul/5xoYT4uc5U7maFj6CgIHr16nXEsYCAAMLDwx3HZ82axZw5c0hJSSElJYU5c+bg7+/P9OnTnVe1iIgJCipqeWbJPt5Yk0V9ox2AM7tGcNfEVAYmdDC5OpFjuWKXC7TACqf33HMPNTU13HLLLZSUlDB06FAWLVqkNT5EpM0qrqrnuaX7eHVVBrUNTaFjSGIYsyelMiw53OTqRH5dg83Oir1FQNNgU1diMQzDMLuIXyovLyckJISysjKCg9VnKiLmKatu4IXlaSxckU5VvQ2AfnGh3D0plTO7RrjMzAGRX/NjejGXPreKsAAf1t0/AQ+Plr1em3P/1t4uIiJHqahtYOGKDF5YnkZFbSMAPWOCuXtSKuO6dVLokDbhcJfLqJSIFg8ezaXwISJySHV9I6+uzOS5ZfsorW4AoFtkEHdNTOXsnpEKHdKmLN3dtLLu6BTX6nIBhQ8REWobbLy+OpNnl+6jsLIegOSOAcyakMp5vaNd7rdGkRMprKxja27TiuGjUl1niu1hCh8i4rbqGm28szabp77fy4HyOqBp4607z0rh/H4xeHme1sbfIqZZvqep1aNnTLBLbl6o8CEibqfBZuf99Tks+G4vuaU1AHQO9eP28V2ZNjAWb4UOaeOWHtrM0NWm2B6m8CEibqPRZueTTft54ts9ji3GI4Ot3DauK5cOjsPq5WlyhSKnz243WLbn5/1cXJHCh4i0e402O5/+tJ//fLeX9MIqACICfbh5bFd+PzQeX2+FDmk/tu0vp7iqnkCrFwPiXXPxO4UPEWm3Drd0LPj+59DRwd+bmWO6cPXwBPx99CNQ2p/DU2xHdAnHx8s1uxD1nSci7U6jzc7Hm/az4Ls9ZBQ1da908PfmxtFduGp4AoFW/eiT9ssxxdZFu1xA4UNE2pHDoeM/3+0h81DoCAvw4YZRyVw9PIEAhQ5p58prG9iQVQq47ngPUPgQkXag0Wbno425LPh+7xGh48bRyVw1TKFD3MfKvYXY7AbJHQOIC/M3u5zj0nekiLRZDYdDx3d7HbNXwgJ8mDk6mSsVOsQNufKqpr+k70wRaXMabHY+2pDLf77fQ3Zx0zod4QE+zBzTFDo0kFTckWEYLNt9aIptN4UPERGnaLDZ+XBDDgu+3+sIHRGBPswc3YXfD4tX6BC3tu9gJbmlNfh4eTAsKdzscn6TvlNFxOU12Ox8sL4pdOSU/Bw6bhrThd8PTcDPR+t0iCw5tKrp0KQwl/+eUPgQEZdV32jngw05PHVE6LBy05hkhQ6Roxwe7+HKs1wOU/gQEZdT12jj/fU5PP39PsfeKwodIsdX22Djx/RiQOFDRKRZauptvL02i+eWppFfXgtAxyArN43pwvQh8QodIsfx/c4C6hrtxIT40rVToNnlnJDCh4iYrrKukTdWZ/LC8jQKK+uBpg3fZo7uwnTtvSJyQu+sywbggv6dsVgsJldzYgofImKaspoGXluZwUsr0imtbgAgtoMfN4/twsUDY7XLrMhJ2F9a4xjvcemgOJOrOTkKHyLS6oqr6lm4Ip1XVmRQUdcIQFJEALeM7cIF/Tvj7emam2GJuKL31+dgGDAsOYzEiACzyzkpCh8i0moKKmp5cXk6r6/OpLreBkBqZCC3juvKeX1i8PRw/eZiEVditxu8s7apy+XywfEmV3PyFD5EpMXtL63h+WVpvPVjFnWNdgB6xgRz+/gUJvWIxEOhQ+SUrNhXSG5pDcG+XpzTK8rsck6awoeItJisomqeWbqP99dn02AzAOgfH8od41MY261jmxgYJ+LKDrd6XNC/c5samK3wISJOt+9gJU9/v4+PN+ViszeFjmHJYdw+PoURXcIVOkScoLiqnkXbDgBw2eC2MdD0MIUPEXGanfnlLPhuL59vycNoyhyMTu3I7eO7MjgxzNziRNqZjzbmUm+z06tzMD1jQswup1kUPkTktK3PLOGZJXv5ZkeB49iEMyK5bXxX+sWFmleYSDtlGAbvHupyuawNDTQ9TOFDRE6JYRgs31PI00v2sjqtaVlniwXO7RXNreO60iMm2OQKRdqvTdml7DpQga+3B7/rG2N2Oc2m8CEizWKzG3y9LZ9nluxjS24ZAN6eFi7s35mZY7rQpaPrL+0s0tYdHmh6bq9oQvy8Ta6m+RQ+ROSk1Dfa+XhTLs8u3UfawSoA/Lw9uWJIPNePSiIm1M/kCkXcQ1VdI//7aT/Q9gaaHqbwISK/qbq+kbd/zOaF5WnklTVt9hbs68U1IxK5ZmQSYQE+Jlco4l4+35xHVb2NpIgAhiS1zYHcCh8i8qvKqht4dVUGC1ekU3Jo35VOQVauH5XE9KEJBFr140PEDG+vzQKa9nFpq9PW9dNDRI5QUF7Liz+k88bqTKoOLYGeEO7PzNFduGhA21rISKS92XOggg1ZpXh6WJg2sLPZ5ZwyhQ8RASCzqIrnlqXx/roc6m1NS6B3jwrilnFdObdXFF7a7E3EdIcHmo7v3olOQb4mV3PqFD5E3Ny2/WU8tzSNzzbv59BipAxK6MAt47owrlunNtusK9Le1Dfa+XBjLgCXt9GBpocpfIi4IcMwWLmviGeX7mP5nkLH8bHdOnLL2K5tdhCbSHv2zY4DFFfVExlsZUxqR7PLOS0KHyJupNFm58ut+Ty3bB9bc8sB8PSwMKV3NDPHJLe5JZpF3Mnbh7pcLh4Y2+a7QRU+RNxATb2N99Y3TZfNLq4BwNfbg8sHx3PdmUnEhfmbXKGI/JackmqW7zkINM1yaesUPkTasZKqel5blcmrqzIorqoHICzAhxnDE7lqeILW6BBpI95fn4NhwIgu4SSEB5hdzmlT+BBph7KLq3nph3TeWZtNTUPTdNm4MD9uGJXMJQPj8PPRdFmRtsJmN3hvXQ7Qdlc0PZrCh0g7sjW3jOeXpfH5ljxsh6au9IwJ5qYxXZis6bIibdIPewvJLa0hxM+bs3tGmV2OUyh8iLRxx5u5MiolgpmjuzCya7imy4q0Ye8eGmh6Qb+YdrPIn8KHSBtV32jns837eXF5OtvzmmaueFjgvD4x3Dg6mV6dNXNFpK0rqqxj0fZ8AC4bHG9yNc6j8CHSxpRVN/DGj5m8ujKDA+V1QNPMlcsGxXH9qGTNXBFpRz7amEuDzaBPbAg9YoLNLsdpFD5E2ojMoioWrsjg3XXZVB/ac6VjkJVrRiQyfUg8HTRzRaRdMQzDsZx6e5he+0sKHyIuzDAM1meW8OLydL7eno9xaPnz7lFBXD8qmal9o7F6tY8+YBE50rI9hewpqMTP25Pf9YsxuxynUvgQcUGNNjtfbzvAC8vT2JRd6jg+JrUjN4xK1iBSETfw1Hd7AbhiSDzBvt4mV+NcCh8iLqSyrpF31mazcEU6OSVNK5H6eHpwYf/OXDcqidTIIJMrFJHW8GN6MT9mFOPj6cGNo5PNLsfpFD5EXMD+0hpeWZnBW2uyqKhrBKCDvzdXDUvgquGJdAyymlyhiLSmBd83tXpMGxhLVIivydU4n8LHIbUNNnbklZNfVkteWS1VdY34W70I8PEkyNebpIgAkjsGtJs51uIatuSU8eIPaXy+OY/GQ4uCJXcM4Lozk5g2IFbXm4gb2pxTyrLdB/H0sHDzmC5ml9Mi3Dp8GIbB4u0H+OSn/Xy/s8Axg+B4PCyQEB5Az5hgRnSJYGTXcOLD/NX3Ls1itxt8u7OAF5ensSa92HF8eHI4149KYly3Tnh46JoScVdPHWr1+F3fGOLD2+fUebcNH9nF1fz5oy1HrAgZEehDfJg/4YFWymoa2FdQSUVdI/WNdgDsBqQXVpFeWMVnm/MA6Bzqx/junZjaN4ZBCR1005Djqqm38cGGHF7+IZ20wioAvDwsnNcnmutHaVEwEYHdByr4etsBAG4Z2z5bPcBNw8fW3DIuf341lXWNWL08uHp4AoMSw8gorOJ/m/fz7Y4DHGoBP6Hc0hr+uzqT/67OJCrYl3N7R3PRgM66kYhDQUUt/12VyeurMympbgAgyNeL6UPjuWZEItEhfiZXKCKu4ulDrR7n9IwipR0PMHe78HGgvJbrX11HZV0j/eND+dclffl2xwFuf3Mj9Ta743V+3p6E+nuTV1Z70ufOL6/l5RXpvLwinb5xoVw5NJ7z+sRoB1E3tSu/gheXp/HJpv2OaysuzI8/jEzi0kFxBFjd7ttPRH5DZlEVn/60H4Bbx3U1uZqW5XY//R78dBv55bV06RjAi1cPYtY7mxxdL/3iQhnRJZzskhq25paRfqhp/FT8lF3KT9ml/OOz7Vw2OI7rzkxulyOW5Uh2u8GyPQd56Yf0I7r0BsSHcsOoZCb1jMJTXXMi8iueXboPu9G0nk/v2Pbdeu5W4SOnpJqvtzVt0LNg+gDmLd7N8j2F+Pt4cv+UM0g/WMVzy9IcW5E7Q3ltIy8sT+eVlRlMGxDLzDFdSIoIcNr5xTVU1zfywYZcFq5IJ+1gU2j1sMA5vaK47sxkBiZ0MLlCEXFleWU1vL8+B4DbxrfvVg9ws/Dx9o/Z2A04s2sEByvqeGNNFhYL/OuSvrz1Y5bjN9VBCR2wGwZZxTUUVtY55b0bbAZvr83mnXXZnNs7mrsmpNC1U/vtz3MXOSXVvLYqk7d/zKK8tml9jkCrF5cOiuPakYna5E1ETsrzy9JosBkMSQpjcGKY2eW0OLcKHz/llAIwpU80r63KAODqYQmszShm+Z5C/Lw9+cOZiXy5Jd8xG8HZDAM+35zHl1vyuHhgLHdOSKVzqAYctiWGYbAus4SXf0jn6235jsHJieH+XDMikYsHxRGo8RwicpIKK+t468csAG5r52M9DvNozoufeeYZ+vTpQ3BwMMHBwQwfPpwvv/zS8bxhGDz44IPExMTg5+fH2LFj2bZtm9OLPlWHm8ND/bz5bmcBAP3jO/DKygwA7p6UyhtrskgrrCLEz5vYDi0XCuwGvLsuh3GPL+Efn22npKq+xd5LnKOu0cYH63OYuuAHLnl2FV9uzXe0pL00YxDf3T2Wa0YmKXiISLO8/EM6tQ12+sSGMColwuxyWkWzfkrGxsbyz3/+k65dm5LZq6++yvnnn8/GjRvp2bMnjz32GPPmzeOVV14hNTWVhx9+mIkTJ7Jr1y6CgsztYrDZDXJLm/bKqK63YTegS8cA1mYUYxgwpXc0b/2YRWl1AymdArF6e7A1t7zF66q32Xnph3Q+2JDD3RNTuWJIPF6ezcqE0sKauugyeX11lqMbzurlwUUDOnPNiCS6Ran7TEROTVlNA/9dlQk0zXBxl0UrmxU+pk6desTXjzzyCM888wyrV6+mR48ezJ8/n/vvv5+LLroIaAonkZGRvPnmm8ycOdN5VZ8CD0vT4/BCYQCJ4QEs2t60mIuvtyf7DlYR6u9NkK8XG7JK8fSwOHXw6W8prW7gr59s4401WTwwtSfDu4S3yvvK8W3NLePlFel89lOeY6psVLAvVw1P4Ioh8YQF+JhcoYi0da+tzKCirpHUyEAmnhFpdjmt5pTbh202G++99x5VVVUMHz6c9PR08vPzmTRpkuM1VquVMWPGsHLlyuOGj7q6Ourqfh7UWV7eMq0NFosFfx8vKusayS6pBsDL08LBijosFhzH4jr4O4JHgI+nYxBha9mZX8EVL6xmat8YHpjag4hAbSjWmhptdhZvP8DCFRn8mPHz0uf940O5dmQSk3tF4a2WKRFxgqq6Rl5ekQ40tXq40wrZzQ4fW7ZsYfjw4dTW1hIYGMhHH31Ejx49WLlyJQCRkUcmt8jISDIzM497vrlz5/LQQw81t4xTEmhtCh91DU2/xR7uhgnx82ZHXlPoyS9vWlTM08PS6sHjl/73036W7T7I/VPO4JKBsW7TFGeWspoG3lmbxasrMx3XhZeHhSl9orl2ZBL94kLNLVBE2p23fsyipLqBhHB/pvSONrucVtXs8NGtWzc2bdpEaWkpH3zwATNmzGDp0qWO54++SRqG8Zs3zvvuu4/Zs2c7vi4vLycuLq65ZZ2Urp0CyS+vdbRy5B9avbS63ubYv6XoUJ/+4a/NVFbTwD3vb+bjjbnMvag3CeFaH8TZ9h2s5JUVGXywIcexsWAHf29+PzSBK4claGE4EWkRtQ02nl+WBsDNY7q43Vi/ZocPHx8fx4DTQYMGsXbtWp544gn+9Kc/AZCfn0909M8JrqCg4JjWkF+yWq1Yra3TtdCrcwg/7C3kQHlTwKg41LLxy6DRSkM8mmXlviLOmb+c+6ecwe+HxqsV5DQZhsGyPYUsXJHOkl0HHce7RwVx7chEzu/XWVvZi0iLen99DgUVdUSH+HLRgFizy2l1pz0n0DAM6urqSEpKIioqisWLF9O/f38A6uvrWbp0KY8++uhpF+oMvToHA2A3mhJGnQu0bpysmgYbf/l4K9/sOMBj0/rQKVi/kTdXdX0jHx5ahXTfoWnXFguc1T2SP4xMZHiXcAU7EWlxDTY7zy7dB8CNo5Px8XKvVg9oZvj485//zOTJk4mLi6OiooK3336bJUuW8NVXX2GxWJg1axZz5swhJSWFlJQU5syZg7+/P9OnT2+p+pvl8KpxxW14TY0luw4yaf4y5l7Ym8lu1kd4qnJLa3htZQZvHbUK6SWDYrlmRKK6s0SkVX26aT85JTWEB/hw+eB4s8sxRbPCx4EDB7jqqqvIy8sjJCSEPn368NVXXzFx4kQA7rnnHmpqarjlllsoKSlh6NChLFq0yPQ1Pg6LDPZlQHwoG7JKzS7ltJRWN3DzGxuYMTyBP085A6uXugiOdngV0oUr0vl62wHHlOmEw6uQDowlyNfb5CpFxN3Y7QZPL9kLwHWjktx213OLYRguNcqhvLyckJAQysrKCA4Odvr5X1iWxiNf7HD6ec3Sq3MwT00foN/eD6lrtPH55jwWrshgS26Z4/jIruFcOyKJcd07aVdZETHNF1vyuOWNDQT7erHi3vHt6peg5ty/3W4d6HN6RbWr8LE1t5zznvyBxy/pyzm9oswuxzSFlXW8sTqL/67OPGIV0gv7d+aakYl0j3J+kBURaQ7DMHjq+6ZWj2tGJLar4NFcbhc+4sL8GZUS4djB1vnn92NSjyiiQ3ypt9nJKanh4425jmmcLaGirpGbXl/PnWelcOdZKW61UM3W3DIWrsjgfz/td6xCGhls5erhiVqFVERcypJdB9m2vxx/H0+uHZlkdjmmcrvwAU2JsyXCx/junXjmygHHjMGYc2FvSqvrWbz9AH//33Yq6lpm8bInvt3Djrxy5l3Wr11vbmazGyzefoCXV6TzY/rPq5D2iwvl2pGJnNs7WquQiohLMQyDBYdaPX4/NJ4Obv6LUfu9Q/2Gcd06kRDuT2ZRtVPPe8dZKccd/Bnq78Mlg+K4ZFAcO/PLeeyrXY6ddZ1p0fYDXPjUCl6+ZjBxYf5OP7+ZyqobeGfdsauQnts7mmtHJtI/voPJFYqI/LrVacWszyzBx8uDG0Ylm12O6dwyfHh4WJgxPJG/f7bdqeeNCT25tTe6RwXz8jWDySyq4t4PtrAqrcipdewpqOSiZ1by8ozB9I4Nceq5zbC3oJJXVqbzwfpcahp+XoV0+tB4rhqWqFVIRcSlGYbB/G92A3DpoFit04Sbhg+A6UPjeW7ZPsdqp85QUF5Hp6CTv6gSwgN468ZhbNtfxpQnf3BaHdC0Dfxlz6/iqekDGNe9k1PP3RrsdoOluw/y8or0I7rItAqpiLQ1i7YfYE16MVYvD24e29XsclyC23aM+3p7csdZKU4959pf7ILaHD1jQtg351z+7+xuTq2nut7G9a+t49112U49b0uqrGvk1ZUZTJi3lGtfWcvyPYVYLDCxRyRv3jCUL+8cxWWD4xU8RKRNqG+0M/fQDMsbRiXTOdTP5Ipcg9u2fABcOiiO55elOW3sx6c/7T/lEcyeHhZuHdeVKb2jGfuvJU6pB5oGZ97z/mZq6m3MGJHotPM6W1ZRNa+uyuDdtdmOAblBvl5cNiiOq4cnEh/evsaviIh7eG1VBhlF1XQMsnLT2C5ml+My3Dp8eHt6cPekbtzx1kannG9jVikbs0pOa+BjYkQAux4+h9ve3Mji7QecUhfAA59uo7rexs0udPEbhsGqfUW8vCKDb3ce4PByd8kRAVwzMpFpA2IJaMezdkSkfSuuqueJb/cA8MdJqe16FmJzuf0nMbVPNG+uyWR12ql1mRztsa928eYNQ09rgzKrlycvXD2It3/M4t4PtzilLoBHv9pJXaONWRNSnXbOU1HbYOPjjbm8sjKDnfkVjuOjUzty7chExqR0dKu1SkSkfXrim91U1DZyRnQwFw+MM7scl+L24cNisfDwBb2Z/MQyGmynv9L8qrQiPv1pP+f363za57p8SDxJEQFc9vzq0z7XYfO/2YOvtyc3jWn9FpC8shpeW5XJWz9mUVrdAIC/jyfTBsQyY0QiXTsFtnpNIiItYW9BBa+vyQLgr1PO0LYOR3H78AHQtVMgN4/pwpPf7XXK+R78dBvDksOJdMJ0qqHJ4Xx2+5mc9x/nzYb555c78fP2bJUxIIZhsCGrhJdXZPDV1nzHBm+xHfyYMTyRSwfHEeLnvksMi0j7NOeLndjsBhPOiGRE1wizy3E5brex3PHUNtg4Z/4yMpw0+HRoUhhvXD8ULyettJl2sJLx/2+pU8512L8u6cvFA2Odes7DjrfB27DkMK4ZkcTEHpH6TUBE2qXlew5y1Us/4uVhYdFdo0nu6B6tus25f7vtVNuj+Xp7Mu+yfk67Ia5JL+aBT7fhrGyX3DGQz24/0ynnOuzeDzbzg5OXmT9YUcf8b3Yz8p/fM/vdn9iSW4aPlweXDorliztG8faNwzmnV5SCh4i0S402Ow9/1jS19qrhCW4TPJpL3S6/MCC+A7eN6+oYnXy63liTRUyoH7eOc86iMr06h/D6dUO58qU1Tjlfo93g5tfX897Nw09719ctOWUsXJnOZz/lHbHB21XDErhiSDzhgVZnlCwi4tLeXZfDrgMVhPh5c6eT15JqTxQ+jnL7+K4s3X2QTdmlTjnf41/vwurlwfVOWsv/zJQI/nF+T/76yTannK+irpE/LFzLp7efSUQzA0Kjzc7X2w6wcEU66zJLHMf7x4dy7cgkJveK0gZvIuI2KmobmLd4FwCzJqQQ6u/em8f9FoWPo3h5ejD/sn5MeXI5VfU2p5zz4c93UF1v4/bxXU9rCu5hVw5L4LPNeaxJd8704P1ltdz+5kb+e92QkxqjUlJVz9trs/nvqgz2l9UCTRu8TekTzbUjk+gXF+qUukRE2pKnvt9HYWU9yREBXDkswexyXJoGnB7HV1vzuOn1DU495+WD4/j7+b3w8Tr91oCSqnr6/2OxE6r62czRydx37hnHfX5XfgWvrEzno4251DY0da2EB/jw+6Hx/H5YglNm94iItEXZxdWc9f+WUm+z8+LVg5jQI9Lsklpdc+7favk4jnN6RXPL2C48vWSf08759tps0g5W8eQV/U97J9YOAT48fnEf/u/9zU6qDp5blsbAhA5M6hnlOGa3G3y3s4CFK9NZsffn3Xd7RAdz7chEpvaN0T4rIuL2/vnVTuptdkZ2DeesM9reZp6tTS0fv8FmN7hm4Y9H7KrqDGEBPjw2rc9pJ2Ob3WDII99QVFXvpMqaavt61mh8vT14d10Or63KcOx942GBST2iuHZkIkOSwpzShSQi0tatyyjm4mdXYbHA57ePokeMufcuszTn/q3wcQIlVfWc/9QKsoqds/7HL13YvzN/Pa8HYQGnPijps837ue1N5+xN80sBPp6OMS/Bvl5cMSSeK4clEBemDd5ERA6z2w0ufGYlP2WXcvngOP45rY/ZJZlG3S5O1CHAh4XXDmbaMysdS4I7y0cbc/l2xwHunJDKVcMSTmksyKQeUSd+0SmoqrfRtVMg14xI5KIBnfH30aUiInK0T3/az0/ZpQT4eDJ7krn7ZrUlmgd5Erp0DOSlGYOwOmGg6NHKaxv5x2fbGfevJby+OpPahubNsPHx8mBSCw1sev+m4Vw5LEHBQ0TkV9TU23j0q50A3DKuK52CNOj+ZCl8nKSBCWE8cXk/nD3MITHcn4hAH3JLa/jLx1sZPvdb5n65g90HKk78hw9pqQ3Z/t+i3S1yXhGR9uDF5WnkldXSOdSP685MMrucNkXhoxnO6RXNQ7/r6dRzZhRVU1hZz6QekXQO9aOkuoHnlqYx6d/LOGf+Mh79aicr9xZSVdd43HN4tdBS5a+vyWxWCBIRcRcHymt5ZmnTbMg/Te6uWX/NpPb0Zrp6eCK1DTbmfLHTqeddtP0AQ5PCmD40no1ZJSzdfZCd+RXszK/gmSX7sFiaun+SIgKI7eBHRKCVAB9PvL08nLYb79EMA+Z/s5unfz+wRc4vItJW/evrXVTX2+gfH8rUPtFml9PmKHycghtHd6G+0c6/nNwtsSa9mDXpxQyID+Wxi/tgs8OKvYWs2ldEfnktewsq2VtQ6dT3PB4PC9gN+GJLPtv2l9EzJqRV3ldExNVtzS3j/Q05APz1vB5aduAUKHycotvGp1DfaG+RVocNWaVsyCoF4JoRiTx8QS9iQv04UFFLTnE1OSU17D5Qwfe7Djr9vQ+zGxAV7Et+eS0vLk/n35f1a7H3EhFpKwzD4OHPt2MY8Lu+MQyI72B2SW2SwsdpuGtiKl6eHsxb3HIDM19ZmcErKzMcX0cE+tBgMyirce6031/j59PUh/n55jzun3JGszeeExFpbxZtP8DqtGKsXh78aXJ3s8tpszTg9DRYLBbuOCuFv5/v3EGov6Wwsr7Fg0egtSmTFpTX0j0qiHqbnffW5bToe4qIuLr6Rjtzv9gBwPWjkugc6mdyRW2XwocTXD08kScu79dis05aW6PdTkSgD1X1NuIPrWj6+Zb9JlclImKu11ZlkFFUTccgKzeP7Wp2OW2awoeTnN+vMy9cPQh/n7Y73crDAkG+XtQ22B2JPsDqhYcFtuaWk1Pi/CXmRUTagpKqep78dg8Af5yU6mghllOj8OFE47p34v2bRhBzmjvWtrbD30SHB5kCjvEdWcXVDEoMA2BJCw5wFRFxZY98sYPy2ka6RwVx8cA4s8tp8xQ+nKxHTDAf3zaSvnGhZpdyQsG+TaEjLMDH0WUUHujjOAawI6+coUlN4WNTdmnrFykiYrJluw/y/vocLBZ45MJeeLaTLnYzKXy0gE5Bvrxz4zDO7xdjdinH8PSwOLqGIg+1ckQGW2m0G0cciwhqavmoPrTBHMBPCh8i4maq6hq578MtAMwYnsjAhDCTK2ofFD5aiK+3J/Mv68c/LuiFj6frfMxRwb5U19vw9fZwTKWNOTS+w9/HE79DSwT7eXsScOj5ED9vALJLqjEMw4SqRUTM8fjXu8gtrSG2gx//d3Y3s8tpN1znrtgOWSwWrhqWwPs3Dye2g/lTsqJDfCmsrANgbGonNueUYbFAB/+mLpZ+caHsL6sFmlpDDjvcGlLbYKfiN/aYERFpT9ZlFPPqqgwA5l7UmwANMnUahY9W0Cc2lM9vH8W5vaNMqyHQ6sXBijrqGu0MTOhAWmHTMu1TekezLrMYgLHdOrIzrxyA+LAA6hrtAIT6eztabypqFT5EpP2rbbDxpw82YxhwycBYRqV0NLukdkXho5WE+Hvz1PQBPHF5P0c3RmuqrGuk0W4wKKEDdY02dh+oJDzAh35xoWzNLcfHy4MzooMpqKjD38eT8EAfGu0GPl4edAy0Um9rCiKu1IUkItJS/vPdHvYdrKJjkJW/TOlhdjntju4krchisXB+v84sums0Y7u1booO8vWiX1woGUXVbM0tJ9DqxexJqfzn0N40t47tykcbcgEY160TOw61gHTtGEh1g81xnra8jomIyMnYtr+MZ5emAfCP83sR4t/6vzC2dwofJogM9mXhNYN54vJ+dAxq+f1SfLw8sNsNNmWXUlhZR1JEALMmpPDvxbspq2mgX1wog5M68PGmpvBx05gufLklH2jqijm8k25ksFV9niLSrjXa7Nzz/mZsdoNze0dxTi/zusvbM91JTHK4FWRc9078e/FuXl2Zgb2FJpLUN9qppyk8nNm1I7WNNh75YgeGAWdEB/PwBb244bV12A24sH9nAqyeLN5xAIDz+sSwcl8hAKmRQS1ToIiIi3h+eRrb9pcT4ufNg79rvX273I3Ch8mCfb15YGpPLhkYxz+/2smy3c5dRdTH04PwQB/HOJMPNvy8Qdylg2I5v19nbnhtHXlltSRHBPDQ+T25462N2OwG47t3okdMMH/7ZCsAZ3Xv5NTaRERcyb6Dlcz/pmkJ9b+d14NOQW1rteq2ROHDRfSICea1Pwxh5b5CHvtql9NWE6232ckrqyXv0BRaTw8L47p15IL+nVm1r4irXlqD3YCunQJ54/qhvLg8nSW7DuLj5cGfzulOYWUd67NKADinV7RTahIRcTV2u8G9H2ymvtHO6NSOXDSgs9kltWsKHy5mRJcIProlnG93FPDs0n2syyw5pfN4e1rw8/YkItCKv9WTqGBf/H28iArxZVNWKXe8tdHRzXPRgM78ZUoPnl26j+eXNQ2y+vvvetItqqmb5dvZY1iXWUJUG9uzRkTkZL2xJpO1GSX4+3gy58JeWCxaQr0lKXy4IIvFwoQekUzoEcn6zBKeX7aPRdsP0JzFRRtsBg22RirrGrEbTbvSHm10akduGdsFb08Prn55jeM1907uzuVD4h2vS+4YSHLHwNP+e4mIuKKckmr++eVOAP50TndiO/ibXFH7p/Dh4gYmdOC5qwaxv7SGD9bn8N76HLKKf31re19vD4J9vSmtaaD+0AJhh1s3PD0sJIb7kxoZxLDkcM6IDmbXgQr+9fUuR+tKsK8X/7igF+f3U3OjiLgHwzC4/6OtVNXbGJTQgauGJZhdkluwGC62WUd5eTkhISGUlZURHBxsdjkux243WJdZwqJt+SzecYDMomODSAd/b6JD/Ai0euHr40mnICueFgvVDTYOlNeyr6CSoqp6x+t9PD24oH8Mf5zUjU7B6loREffx4YYcZr/7Ez5eHnx55yi6qJX3lDXn/q2WjzbGw8PCkKQwhiSFcf+UM9hbUMnq9GLWZxSzLrOEnJIaSqobKKlu+O3zWJpaVcZ3j2TagM4KHSLidg5W1PH3z7YDcOdZKQoerUjhow2zWCykRAaREhnkaCqsqmsks6iajKIqiirrqKyzUV3fiI+nB/5WL8ICvEnpFERyxwD8ffTPLyLu68FPt1Fa3UDPmGBuHJ1sdjluRXefdibA6kWPmGB6xKjLSkTkeL7ams/nW/Lw9LDw6LQ+eGvfqlalT1tERNxKWXUDfz20eOLM0cn06hxickXuR+FDRETcyiNfbOdgRR3JHQO446wUs8txSwofIiLiNn7YU8i763KwWOCxaX3w9dZO3WZQ+BAREbdQXd/IvR9uBuDqYQkMSgwzuSL3pfAhIiJu4V9f7yanpIbOoX783zndzS7HrSl8iIhIu7c+s4SFK9MBmHNRbwKtmuxpJoUPERFp12obbPzpg80YBkwbEMuY1I5ml+T2FD5ERKRd++eXO9lbUElEoA9/Pe8Ms8sRmhk+5s6dy+DBgwkKCqJTp05ccMEF7Nq164jXGIbBgw8+SExMDH5+fowdO5Zt27Y5tWgREZGT8fW2fF5ZmQHA45f0JdTfx9yCBGhm+Fi6dCm33norq1evZvHixTQ2NjJp0iSqqqocr3nssceYN28eCxYsYO3atURFRTFx4kQqKiqcXryIiMjx5JbWcM/7TbNbbhydzLhunUyuSA47rV1tDx48SKdOnVi6dCmjR4/GMAxiYmKYNWsWf/rTnwCoq6sjMjKSRx99lJkzZ57wnNrVVkRETleDzc7lz69mfWYJfeNCeW/mcHy8NNKgJTXn/n1a/xJlZWUAhIU1zZVOT08nPz+fSZMmOV5jtVoZM2YMK1eu/NVz1NXVUV5efsRDRETkdPx78W7WZ5YQZPXiP5f3V/BwMaf8r2EYBrNnz+bMM8+kV69eAOTn5wMQGRl5xGsjIyMdzx1t7ty5hISEOB5xcXGnWpKIiAjL9xzkmaX7APjntD7Eh/ubXJEc7ZTDx2233cbmzZt56623jnnOYrEc8bVhGMccO+y+++6jrKzM8cjOzj7VkkRExM0VVNRy1zubMAyYPjSeKX2izS5JfsUprbJy++238+mnn7Js2TJiY2Mdx6OiooCmFpDo6J//wQsKCo5pDTnMarVitVpPpQwREREHu91g9js/UVhZT/eoIP52Xg+zS5LjaFbLh2EY3HbbbXz44Yd89913JCUlHfF8UlISUVFRLF682HGsvr6epUuXMmLECOdULCIi8iueWbqPH/YW4uftyYLp/bVpnAtrVsvHrbfeyptvvsknn3xCUFCQYxxHSEgIfn5+WCwWZs2axZw5c0hJSSElJYU5c+bg7+/P9OnTW+QvICIisi6jmHmLdwPw0Pk96dopyOSK5Lc0K3w888wzAIwdO/aI4wsXLuSaa64B4J577qGmpoZbbrmFkpIShg4dyqJFiwgK0oUgIiLOV1pdzx1vbcRmN7igXwyXDIw98R8SU53WOh8tQet8iIjIyTIMg5n/Xc+i7QdIDPfnsztGadM4k7TaOh8iIiJmenVlBou2H8DH04MF0wcoeLQRCh8iItImbc0tY84XOwG479zu9OocYnJFcrIUPkREpM2prGvk9rc2Um+zM7FHJNeMSDS7JGkGhQ8REWlTDMPgrx9vJb2wipgQXx6/uM9xF7IU16TwISIibcr763P4aGMunh4WnryiP6H+PmaXJM2k8CEiIm3G3oIK/vbJNgDumpDCoMQwkyuSU6HwISIibUJtg43b3txITYONkV3DuXlsV7NLklOk8CEiIm3Cw59vZ2d+BRGBPvz7sn54emicR1ul8CEiIi7vyy15vL46C4B5l/ajU5CvyRXJ6VD4EBERl5ZdXM09H2wG4OaxXRid2tHkiuR0KXyIiIjLarDZuf2tjVTUNjIgPpTZE1PNLkmcQOFDRERc1iOf72BTdinBvl48eUV/vD1122oP9K8oIiIu6c01WbyyMgOAxy/pS2wHf3MLEqdR+BAREZezcl8hf/tkKwB3T0zl7J5RJlckzqTwISIiLiWjsIpb3thAo93gd31juG281vNobxQ+RETEZZTXNnD9a+sorW6gb2wIj2nflnZJ4UNERFxCo83ObW9uZG9BJVHBvrxw9SB8vT3NLktagMKHiIi4hEe+2MGy3Qfx9fbgxRmD6BSshcTaK4UPEREx3Vs/ZrFwRQYA/760H706h5hbkLQohQ8RETHVqn1F/PXjppktsyemMrl3tMkVSUtT+BAREdNkFlVx8xvrabQbTO0bw+2a2eIWFD5ERMQU5bUNXPfqzzNbHtfMFreh8CEiIq2u0Wbn9l/MbHleM1vcisKHiIi0ujlf7GTpL2a2RGpmi1tR+BARkVb11o9ZvLwiHYB5mtnilhQ+RESk1fxyZstdE1I5VzNb3JLCh4iItIpfzmw5r080d5ylmS3uSuFDRERa3NEzW/51SV/NbHFjCh8iItKiNLNFjqbwISIiLeqXM1teuFozW0ThQ0REWtDbv5jZ8v8u6UfvWM1sEYUPERFpIavTivjLL2a2TOmjmS3SROFDREScbvv+cm58bZ1mtsivUvgQERGnSi+s4uqX11Be28jAhA48frFmtsiRFD5ERMRp9pfWcOWLayisrKdHdDAvXzMYPx/NbJEjKXyIiIhTFFbWceVLa8gtrSE5IoDXrhtCiJ+32WWJC1L4EBGR01ZW08DVL/1I2sEqYkJ8+e/1Q4kItJpdlrgohQ8RETktNfU2rntlLdvzygkP8OH164fSOdTP7LLEhSl8iIjIKatvtDPz9fWsyywhyNeL164bQnLHQLPLEhen8CEiIqfEZjeY9c5Glu0+iJ+3JwuvGUzPGC0iJiem8CEiIs1mGAb3fbiZL7bk4+1p4bmrBjIoMczssqSNUPgQEZFmMQyDhz/fwbvrcvCwwJOX92d0akezy5I2ROFDRESa5T/f7eWlH5r2a3l0Wh8m99ay6dI8Ch8iInLSFq5IZ97i3QD87bweXDIozuSKpC1S+BARkZPy/vocHvrfdqBpo7g/nJlkckXSVil8iIjICX21NY973v8JgOvOTNJGcXJaFD5EROQ3Ld9zkDve2oTdgEsHxfKXKWdoozg5LQofIiJyXOszS7jxtfXU2+yc2zuKuRf1UfCQ06bwISIiv2r7/nKuXfgjNQ02Rqd25N+X9cPTQ8FDTp/Ch4iIHCPtYCVXv7yG8tpGBiV04NkrB2D18jS7LGknFD5EROQIu/IruOz51RRW1tMjOpiXrhmMv4+X2WVJO6KrSUREHDbnlHL1yz9SWt1A96ggXrtuCCF+3maXJe2MwoeIiACwNqOYaxeupbKukb5xobx67WBC/X3MLkvaIYUPERFh+Z6D3PDaOmob7AxLDuPFGYMJtOoWIS1DV5aIiJv7els+t7+5kXqbnbHdOvLslQPx9dbgUmk5Ch8iIm7s44253P3eT9jsBuf2jmL+Zf3x8dJcBGlZCh8iIm7qjTWZ/OXjrRgGTBsQy6PTeuPlqeAhLU/hQ0TEDT2/bB9zvtgJwNXDE3hwak88tICYtBKFDxERN2IYBv/+Zg9PfrsHgJvHduGes7tpyXRpVc1uX1u2bBlTp04lJiYGi8XCxx9/fMTzhmHw4IMPEhMTg5+fH2PHjmXbtm3OqldERE6RYRg8/PkOR/D4v7O78adzuit4SKtrdvioqqqib9++LFiw4Feff+yxx5g3bx4LFixg7dq1REVFMXHiRCoqKk67WBEROTU2u8GfP9rCSz+kA/Dg1B7cOq6ryVWJu2p2t8vkyZOZPHnyrz5nGAbz58/n/vvv56KLLgLg1VdfJTIykjfffJOZM2eeXrUiItJsDTY7f3zvJz7ZtB8PC/xzWh8uHRRndlnixpw6rDk9PZ38/HwmTZrkOGa1WhkzZgwrV6781T9TV1dHeXn5EQ8REXGO2gYbt7yxgU827cfLw8J/rhig4CGmc2r4yM/PByAyMvKI45GRkY7njjZ37lxCQkIcj7g4fVOIiDhDdX0j17+6jsXbD+Dj5cHzVw9kSp9os8sSaZldbY8evGQYxnEHNN13332UlZU5HtnZ2S1RkoiIWymvbeDql37kh72F+Pt48sq1gxnfPfLEf1CkFTh1qm1UVBTQ1AISHf1zui4oKDimNeQwq9WK1Wp1ZhkiIm4tu7ia619dx64DFQT7evHKH4YwIL6D2WWJODi15SMpKYmoqCgWL17sOFZfX8/SpUsZMWKEM99KRER+xfrMEi58egW7DlTQKcjK2zcOV/AQl9Pslo/Kykr27t3r+Do9PZ1NmzYRFhZGfHw8s2bNYs6cOaSkpJCSksKcOXPw9/dn+vTpTi1cRESO9MmmXP7v/c3UN9rpER3MS9cMIjrEz+yyRI7R7PCxbt06xo0b5/h69uzZAMyYMYNXXnmFe+65h5qaGm655RZKSkoYOnQoixYtIigoyHlVi4iIg2EYzP9mD08cWjxswhmRPHF5PwKsWsRaXJPFMAzD7CJ+qby8nJCQEMrKyggODja7HBERl1bbYOP/3t/M/37aD8DM0cncc053PLVPi7Sy5ty/FYtFRNqogxV13PjfdWzMKsXLw8IjF/bissHxZpclckIKHyIibdDO/HKue2UduaU1hPh588yVAxjRJcLsskROisKHiEgb8/3OAm57cwNV9TaSIgJ4acYgkjsGml2WyElT+BARaSMMw+CVlRn847Pt2A0YlhzGs1cOJNTfx+zSRJpF4UNEpA1osNl58NNtvLEmC4BLB8Xy8AW98fFqkYWqRVqUwoeIiIsrq2ngtjc3sHxPIRYL3De5OzeMSj7uthUirk7hQ0TEhWUWVfGHV9ay72AVft6ezL+8H2f3jDK7LJHTovAhIuKiVqcVcfPr6ympbiAq2JcXZwyiV+cQs8sSOW0KHyIiLsZuN3hm6T7+36Jd2A3o3TmEF2cMIjLY1+zSRJxC4UNExIUUV9Vz1zubWLr7IAAX9IthzkW98ffRj2tpP3Q1i4i4iLUZxdz+5kbyy2uxennw9/N7cumgOA0slXZH4UNExGR2u8Fzy9L416Jd2OwGyREBPPX7AZwRrf2tpH1S+BARMVFxVT13v7uJ73c1dbOc3y+GRy7sTaB2pJV2TFe3iIhJ1mUUc/tbG8krq8XHy4OHfteTywerm0XaP4UPEZFWZrcbvLA8jce+/rmbZcH0AfSIUTeLuAeFDxGRVlRSVc/d7/3EdzsLAJjaN4a5F6mbRdyLrnYRkVayPrOE29/cwP5D3SwPTu3JFUPUzSLuR+FDRKSFGYbBi8vTefSrnTTaDZIiAlgwvT89Y7RaqbgnhQ8RkRaUV1bDvR9scSwadl6faOZe1JsgX2+TKxMxj8KHiEgLMAyD99bn8I/PtlNR24iPlwd/O68Hvx8ar24WcXsKHyIiTpZfVst9H252rN3RLy6Uf13Sh66dgkyuTMQ1KHyIiDiJYRh8sCGXh/63ram1w9OD2ZNSuf7MJLw8PcwuT8RlKHyIiDjBgfJa/vzhFr49NIW2b2wI/7qkLymRau0QOZrCh4jIaTAMg4825vLgp9soP9TaMWtiCjeOSlZrh8hxKHyIiJyigvJa/vzRVr7ZcQCA3p2bWju6Ram1Q+S3KHyIiDSTYRh8smk/D3y6jbKaBrw9LcyakMrM0WrtEDkZCh8iIs1QUF7LXz7eyqLtTa0dvToH869L+tI9SvuyiJwshQ8RkZPQYLPzyooM5n+zm6p6G96eFu4Yn8JNY7vgrdYOkWZR+BAROYEVewt54NNt7C2oBJrW7Zh7UW/OiFZrh8ipUPgQETmO/aU1PPL5Dj7fkgdAWIAP957TnYsHxuLhoVVKRU6VwoeIyFHqGm289EM6//l2LzUNNjwscNWwBGZP7EaIv/ZkETldCh8iIr+wdPdBHvx0G+mFVQAMTuzAQ7/rRY8YdbGIOIvCh4gIkF1czT8+2+6YxRIRaOXP53bnwv6dtRGciJMpfIiIW6upt/H8sjSeXrKXukY7nh4WrhmRyKwJKdr2XqSFKHyIiFtqsNl5e202T367h4MVdQAMSw7j7+f3IlX7sYi0KIUPEXErdrvB/zbvZ97i3WQWVQMQ28GPe87pztQ+0epiEWkFCh8i4hYMw2DJroM89vUuduSVA03jOu44qyuXD47Hx0sLhYm0FoUPEWn31mUU89hXu/gxoxiAIKsXM8ckc+3IJAKs+jEo0tr0XSci7daOvHL+9fUuvt1ZAIDVy4MZIxK5eUwXOgT4mFydiPtS+BCRdmdnfjlPf7+P/23ej2GAp4eFSwfFcsdZKUSH+JldnojbU/gQkXZjfWYxT3+/z9HSATClTzR3T0wluWOgiZWJyC8pfIhIm2YYBkt2H+SZ7/c5xnRYLHBur2huHtuFXp1DTK5QRI6m8CEibZLNbvDFljyeWbKP7Ydmr3h7Wpg2IJaZY7qQFBFgcoUicjwKHyLSptQ22PhwQy7PLdvnWKfD38eT6UPiuX5UMlEhviZXKCInovAhIm1CdnE1b6zJ4p21WZRUNwDQwd+ba0YkcfXwBM1eEWlDFD5ExGXZ7QY/7C3ktVWZfLfzAHaj6XjnUD/+cGYSVwyJw99HP8ZE2hp914qIyymvbeD9dTm8vjqTtENb2wOc2TWCq4cncNYZkXh6aBl0kbZK4UNEXIJhGGzKLuW99Tl8vDGX6nob0LQa6bSBsVw1PIEumi4r0i4ofIiIqfLLavlwYw4frM9h38GfWzlSIwO5engiF/bvrCXQRdoZfUeLSKurbbDx9bZ83l+fw4q9hY6xHL7eHkzuFc2lg+IYlhymHWZF2imFDxFpFQ02Oyv3FfHF5jy+2JJHRV2j47khiWFcPDCWyb2jCPL1NrFKEWkNCh8i0mJ+GTi+3p5P6aEpsgCxHfy4aEAs0wZ0JiFcC4KJuBOFDxFxqtoGG6v2FfHl1jwWbT9wROCICPTh7J5RnNcnhqFJYXhoxoqIW1L4EJHTll9Wy3c7C/hu5wF+2FtIbYPd8dzhwDGlTzRDk8I1RVZEFD5EpPnqGm1szCrlhz2FfLezwLG3ymHRIb6cdUYnzu2twCEix1L4EJETstsNtueVs2JvISv2FfFjetERrRsWC/SPC2V8906M7x7JGdFBmqkiIsel8CEix6htsLE5p4y1GcWsyyhmfWYJ5bWNR7wmItCHEV0iGJ3akXHdOhIeaDWpWhFpaxQ+RNyc3W6QVljF5pxSfsouZVNOGTv2l1Nvsx/xugAfT4YlhzOiawRndo0gNTJQrRsickpaLHw8/fTTPP744+Tl5dGzZ0/mz5/PqFGjWurtROQklNU0sCu/gp355ezMr2BnXjm78iuoOrSU+S9FBFoZktSBQQlhDEkKo3tUEF6eHiZULSLtTYuEj3feeYdZs2bx9NNPM3LkSJ577jkmT57M9u3biY+Pb4m3FJFDbHaD/aU1ZBZVk15URUZhFemFVezKryC3tOZX/4yvtwe9YkLoExtK37gQ+sWFEh/mr5YNEWkRFsMwDGefdOjQoQwYMIBnnnnGceyMM87gggsuYO7cub/5Z8vLywkJCaGsrIzg4GBnlybSphmGQXlNI3nlNeSV1ZJXWkt+WQ37y2rJL6tlf1kNOSU11Dfaj3uOzqF+dI8KoltUEN2jg+keFURSRADeatUQkdPQnPu301s+6uvrWb9+Pffee+8RxydNmsTKlSuPeX1dXR11dXWOr8vLy495jYg7W5dRzPQX1/xmoDiaj6cHcWF+JEUEkBgeQGJEAN2igkiNDCLET8uXi4i5nB4+CgsLsdlsREZGHnE8MjKS/Pz8Y14/d+5cHnroIWeXIdJuvLM2+5jg0cHfm6gQP2JCfIkK8SUm1I+oYF+iQ32J6+BPTKif1tYQEZfVYgNOj+4rNgzjV/uP77vvPmbPnu34ury8nLi4uJYqS6TNuXtSNzoFW1mXUUJEoJXx3TsxbWCs2WWJiJwyp4ePiIgIPD09j2nlKCgoOKY1BMBqtWK1an0AkeOJCvHl/87ubnYZIiJO4/QRZj4+PgwcOJDFixcfcXzx4sWMGDHC2W8nIiIibUyLdLvMnj2bq666ikGDBjF8+HCef/55srKyuOmmm1ri7URERKQNaZHwcdlll1FUVMTf//538vLy6NWrF1988QUJCQkt8XYiIiLShrTIOh+nQ+t8iIiItD3NuX9rVSERERFpVQofIiIi0qoUPkRERKRVKXyIiIhIq1L4EBERkVal8CEiIiKtSuFDREREWpXCh4iIiLQqhQ8RERFpVS2yvPrpOLzganl5ucmViIiIyMk6fN8+mYXTXS58VFRUABAXF2dyJSIiItJcFRUVhISE/OZrXG5vF7vdzv79+wkKCsJisZhdzhHKy8uJi4sjOztb+84chz6jE9NndGL6jE5Mn9Fv0+dzYs7+jAzDoKKigpiYGDw8fntUh8u1fHh4eBAbG2t2Gb8pODhYF/MJ6DM6MX1GJ6bP6MT0Gf02fT4n5szP6EQtHodpwKmIiIi0KoUPERERaVUKH81gtVp54IEHsFqtZpfisvQZnZg+oxPTZ3Ri+ox+mz6fEzPzM3K5AaciIiLSvqnlQ0RERFqVwoeIiIi0KoUPERERaVUKHyIiItKqFD5O0iOPPMKIESPw9/cnNDT0V1+TlZXF1KlTCQgIICIigjvuuIP6+vrWLdSFJCYmYrFYjnjce++9ZpdlqqeffpqkpCR8fX0ZOHAgy5cvN7skl/Hggw8ec71ERUWZXZapli1bxtSpU4mJicFisfDxxx8f8bxhGDz44IPExMTg5+fH2LFj2bZtmznFmuREn9E111xzzHU1bNgwc4o1wdy5cxk8eDBBQUF06tSJCy64gF27dh3xGjOuI4WPk1RfX88ll1zCzTff/KvP22w2pkyZQlVVFT/88ANvv/02H3zwAXfffXcrV+pa/v73v5OXl+d4/OUvfzG7JNO88847zJo1i/vvv5+NGzcyatQoJk+eTFZWltmluYyePXsecb1s2bLF7JJMVVVVRd++fVmwYMGvPv/YY48xb948FixYwNq1a4mKimLixImOPbLcwYk+I4BzzjnniOvqiy++aMUKzbV06VJuvfVWVq9ezeLFi2lsbGTSpElUVVU5XmPKdWRIsyxcuNAICQk55vgXX3xheHh4GLm5uY5jb731lmG1Wo2ysrJWrNB1JCQkGP/+97/NLsNlDBkyxLjpppuOONa9e3fj3nvvNaki1/LAAw8Yffv2NbsMlwUYH330keNru91uREVFGf/85z8dx2pra42QkBDj2WefNaFC8x39GRmGYcyYMcM4//zzTanHFRUUFBiAsXTpUsMwzLuO1PLhJKtWraJXr17ExMQ4jp199tnU1dWxfv16Eysz16OPPkp4eDj9+vXjkUcecdtuqPr6etavX8+kSZOOOD5p0iRWrlxpUlWuZ8+ePcTExJCUlMTll19OWlqa2SW5rPT0dPLz84+4pqxWK2PGjNE1dZQlS5bQqVMnUlNTueGGGygoKDC7JNOUlZUBEBYWBph3HbncxnJtVX5+PpGRkUcc69ChAz4+PuTn55tUlbnuvPNOBgwYQIcOHfjxxx+57777SE9P58UXXzS7tFZXWFiIzWY75hqJjIx02+vjaEOHDuW1114jNTWVAwcO8PDDDzNixAi2bdtGeHi42eW5nMPXza9dU5mZmWaU5JImT57MJZdcQkJCAunp6fz1r39l/PjxrF+/3u1WPzUMg9mzZ3PmmWfSq1cvwLzryK1bPn5tgNvRj3Xr1p30+SwWyzHHDMP41eNtVXM+s7vuuosxY8bQp08frr/+ep599lleeuklioqKTP5bmOfoa6G9XR+nY/LkyUybNo3evXszYcIEPv/8cwBeffVVkytzbbqmfttll13GlClT6NWrF1OnTuXLL79k9+7djuvLndx2221s3ryZt95665jnWvs6cuuWj9tuu43LL7/8N1+TmJh4UueKiopizZo1RxwrKSmhoaHhmETZlp3OZ3Z4hPnevXvd7jfZiIgIPD09j2nlKCgoaFfXhzMFBATQu3dv9uzZY3YpLunwTKD8/Hyio6Mdx3VN/bbo6GgSEhLc7rq6/fbb+fTTT1m2bBmxsbGO42ZdR24dPiIiIoiIiHDKuYYPH84jjzxCXl6e4x9w0aJFWK1WBg4c6JT3cAWn85lt3LgR4IgL3F34+PgwcOBAFi9ezIUXXug4vnjxYs4//3wTK3NddXV17Nixg1GjRpldiktKSkoiKiqKxYsX079/f6BpbNHSpUt59NFHTa7OdRUVFZGdne02P4cMw+D222/no48+YsmSJSQlJR3xvFnXkVuHj+bIysqiuLiYrKwsbDYbmzZtAqBr164EBgYyadIkevTowVVXXcXjjz9OcXExf/zjH7nhhhsIDg42t3gTrFq1itWrVzNu3DhCQkJYu3Ytd911F7/73e+Ij483uzxTzJ49m6uuuopBgwYxfPhwnn/+ebKysrjpppvMLs0l/PGPf2Tq1KnEx8dTUFDAww8/THl5OTNmzDC7NNNUVlayd+9ex9fp6els2rSJsLAw4uPjmTVrFnPmzCElJYWUlBTmzJmDv78/06dPN7Hq1vVbn1FYWBgPPvgg06ZNIzo6moyMDP785z8TERFxxC8B7dmtt97Km2++ySeffEJQUJCj9TUkJAQ/Pz8sFos511GLzaNpZ2bMmGEAxzy+//57x2syMzONKVOmGH5+fkZYWJhx2223GbW1teYVbaL169cbQ4cONUJCQgxfX1+jW7duxgMPPGBUVVWZXZqpnnrqKSMhIcHw8fExBgwY4JjuJoZx2WWXGdHR0Ya3t7cRExNjXHTRRca2bdvMLstU33///a/+3JkxY4ZhGE3TJB944AEjKirKsFqtxujRo40tW7aYW3Qr+63PqLq62pg0aZLRsWNHw9vb24iPjzdmzJhhZGVlmV12q/m1zwYwFi5c6HiNGdeR5VBxIiIiIq3CrWe7iIiISOtT+BAREZFWpfA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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"sigma\": 1., \"rho\": 1., \"beta\": 1.} # Start with arbitrary values\n", + "\n", + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=torch.optim.Adam\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Loss: tensor(235.4734, grad_fn=)\n", + "Loss: tensor(229.5995, grad_fn=)\n", + "Loss: tensor(241.3257, grad_fn=)\n", + "Loss: tensor(249.6300, grad_fn=)\n", + "Loss: tensor(245.2753, grad_fn=)\n", + "Loss: tensor(238.3391, grad_fn=)\n", + "Loss: tensor(232.0101, grad_fn=)\n", + "Loss: tensor(248.2782, grad_fn=)\n", + "Loss: tensor(234.6457, grad_fn=)\n", + "Loss: tensor(235.9567, grad_fn=)\n" + ] + } + ], + "source": [ + "ode_solver.fit(result)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(9.9782, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(27.9222, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(2.7742, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "ode_solver.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original" + ] + }, + { + "source": [ + "# Re-calculate using 4th order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.0022e-01, 2.7922e-01, 0.0000e+00],\n", + " [ 8.3825e-01, 5.2779e-01, 2.5136e-03],\n", + " ...,\n", + " [-1.2071e+01, -1.2319e+01, 3.1191e+01],\n", + " [-1.2096e+01, -1.1802e+01, 3.1813e+01],\n", + " [-1.2067e+01, -1.1213e+01, 3.2358e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 62b70d1e..bacc80e3 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -1,5 +1,6 @@ import torch from torch import nn +from torch.utils.data import DataLoader, TensorDataset from torchts.nn.model import TimeSeriesModel @@ -93,9 +94,31 @@ def forward(self, nt): def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} + + + def fit(self, x, max_epochs=10, batch_size=128): + """Fits model to the given data. + + Args: + x (torch.Tensor): Data from original ODE + max_epochs (int): Number of training epochs + batch_size (int): Batch size for torch.utils.data.DataLoader + """ + dataset = TensorDataset(x, x) + loader = DataLoader(dataset, batch_size=batch_size, shuffle=True) + + for epoch in range(max_epochs): + for i, data in enumerate(loader, 0): + self.zero_grad() + loss = self._step(data, i, batch_size) + loss.backward(retain_graph=True) + self.optimizer.step() + + print("Loss: ", loss) + def _step(self, batch, batch_idx, num_batches): - (x,) = batch + (x,_) = batch nt = x.shape[0] pred = self(nt) return self.criterion(pred, x) From 8031085f5c50f4cae42afa5a64978116e34922e0 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 00:21:39 -0400 Subject: [PATCH 12/73] Fixed bugs in Lorenz 63 --- examples/ode/lorenz63/Lorenz63Data.mat | Bin 4626139 -> 0 bytes .../ode/lorenz63/Lorenz63DataGeneration.m | 43 --- examples/ode/lorenz63/Lorenz63Test.ipynb | 276 ------------------ examples/ode/lorenz63/Lorenz63Train.ipynb | 54 ++-- torchts/nn/models/ode.py | 11 +- 5 files changed, 35 insertions(+), 349 deletions(-) delete mode 100644 examples/ode/lorenz63/Lorenz63Data.mat delete mode 100644 examples/ode/lorenz63/Lorenz63DataGeneration.m delete mode 100644 examples/ode/lorenz63/Lorenz63Test.ipynb 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2000; - -t_vals = 0:h:t_max; - -[~,size_t] = size(t_vals); - -x = zeros(3,size_t); -x(1,1) = 1; - -A = [0,0,0,0;1/2,0,0,0;0,1/2,0,0;0,0,1,0]; -b = [1/6, 1/3, 1/3, 1/6]; -c = [0, 1/2, 1/2, 1]; - -for n=1:size_t-1 - k_1 = x(:,n); - k_2 = x(:,n) + h*A(2,1)*f(k_1); - k_3 = x(:,n) + h*A(3,1)*f(k_1) + h*A(3,2)*f(k_2); - k_4 = x(:,n) + h*A(4,1)*f(k_1) + h*A(4,2)*f(k_2) + h*A(4,3)*f(k_3); - x(:,n+1) = x(:,n) + h*(b(1)*f(k_1) + b(2)*f(k_2) + b(3)*f(k_3) + b(4)*f(k_4)); -end - -% for n=1:size_t-1 -% x(:,n+1) = x(:,n) + h*f(x(:,n)); -% end - -plot3(x(1,:),x(2,:),x(3,:)); -xlabel("X"); -ylabel("Y"); -zlabel("Z"); - -function y_prime = f(y) - -sigma = 10; -rho = 28; -beta = 2.7; - -y_prime = zeros(3,1); -y_prime(1) = sigma*(y(2)-y(1)); -y_prime(2) = y(1)*(rho-y(3))-y(2); -y_prime(3) = y(1)*y(2)-beta*y(3); -end diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb deleted file mode 100644 index 3919e662..00000000 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ /dev/null @@ -1,276 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "source": [ - "# Euler's Method" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(20000)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.0000e-01, 2.8000e-01, 0.0000e+00],\n", - " [ 8.3800e-01, 5.2920e-01, 2.5200e-03],\n", - " ...,\n", - " [-8.3179e+00, -9.0258e+00, 2.5758e+01],\n", - " [-8.3886e+00, -9.1220e+00, 2.5814e+01],\n", - " [-8.4620e+00, -9.2142e+00, 2.5882e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 25 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":6: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "

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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(20000)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", - " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", - " ...,\n", - " [-8.8668e+00, -1.4836e+01, 1.6847e+01],\n", - " [-9.4751e+00, -1.5664e+01, 1.7779e+01],\n", - " [-1.0103e+01, -1.6452e+01, 1.8857e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 15 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":6: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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uY6S/E9ND3Zke5kagqy07Egv5/Ug22xMLUWkdbCzN5Mwb7MXlo3wYF+CCvA8PPhIIBAKAynoFb29K4vv9GaglTW3dw3NCuXG8f7vSDSmF1by5MZENsZp6OxO5jIsGe3LLxIB2C5fmKFRqUouqKa1ppKJWQVmtgrLaRsprGynX/lxe20h5neb/thamzIn0ZN5gT4b5OnZZ/YhKLXHJR3uIyankspE+vHl554pPr/p8PwfSSnnvqmFcMmxAl6ytiY5cv/u9+EgqqOKaLw5SXN2AjbkJK5ZEtfiFKFRqtiUU8vvhLHYkFemEgY25CYuGenPFaF+C3W2pa1RR26iipkFJnULzfV2jkpoGFbUKzfd5FfXsSioitaimxRq8HCyZFurGtFB3Qj3s2BSXz+9HskkprNbt4+tsxWUjfFk6cgA+Ttbn/d9FIBAILiSSJLH2ZC4vr4vXOXAuHOLFswsi2tU6m19Rz7tbkvjjaDYqtYRcBktH+PDAzBB8nTt2zqyoU7AzqYgtcQVsTyzUWbR3FG8HSy4a7MX8KE9G+Dmd8w3k8cwyFn+8D4BVd49npH/Hi0/v/fkY607lsWxhBLdO6lz6xhBCfHSA2747wpb4AkI97Pj4uhEENSs62pNczP9+P9HCinaUvxNXjPZlQZQXNhZnslaSJLEtoZC3NycRm1uJPu6ZFsSdU4KoqFOwI6mQHYlF7Estpl5xZhCRmYmM0QOdmRbqhpO1Occyy/n3ZC5VDZo/fpkMZoa588DMEIb4OHbxv4ZAIBBceFKLqnnu7xj2ppQAEOBqw4uXRDI5xK3N51bUKvh4Zwrf7s2gQVvTMTvCg8fmhjKoA/VzmSW1bIkvYEt8AQfTS3U3ml2Fh70F8wZ7MW+wJ2MCnDsdEXniz1P8diSLwQPs+ee+SR0+zvK1sXy7L4N7pgXx+EVhnVqDIYT4aCcZxTVMf2sHkgRbH5naQnicLqlh0Qd7qKxX4mprztIRPlw+ShPlAI3J2NQ3trcaKtQZRvk74eFgSUxOBafPSucEudlw5WhfbCxMWXcqj32pJbrHpoe68eCsQQw7j5MQBQKB4HxR16jio+0pfLYrFYVKwsJUzn3Tg7ljaiAWpsY9NuoVKr7Zm8EnO1Ko1EYmxgx05ol5oe2KCKjVEieyy9kSV8DW+EISC6o6tHYTuQwna3NcbMxxtjHH1ETG4YzSFjeThrhilA+vLR3SKQFSUt3AqFe2IElw9NlZuHSwaPSDrcm8tTmJK0f58tplQzr8+sboyPW7XxecfrsvA0nSXMSbC4+6RhV3/XiMynolI/wc+eWOcboPQmFVPWNe2dql62hq6W3Cx8mKAFcbDqaXklpUw4r1CdhZmnL1GD/umhrEX8dz+OtEDtsTi9ieWMTUQW48OCuEEX4dz2cKBAJBd7A1voDn18aSXaYZADc91I0XLh6Mn4vxFIlSpeaPo9m8uyVJd/MX6mHHE/NCmR7qbvSCrlJL7EwqZGNMAVsTCtuccRLoZkOwmy0WZiaYm8hpUKooq22ktEZBUVUDDQoVDtZmDHS1YW6kBx9fO4L9qSVsjtMcv7RGv5Po70ey8XSw4uHZg4y+vj5cbC3wcbIiq7SO1KKaDosPV22hanfPd+m34qOiTsHvR7IAuHVSoG67JEk8vSaa+LxKXG3N+fjakTrh8c7mJN7bmmzwmMsXRTAx2JU6hQq59gPQ9DlQqzV91T8dPM3G2AKja8suq2vxgUwvriGjpJbPd6Xx5e405kZ68uqSIRxIL+HvE7k675DJIa48NCukU3lAgUAguBBkl9Xywj9xbI7TnAe9HSx5blEkcyONG4VJksSGmHze2JRImrZuboCj5gJ+6fABRg2zqhuU/HEki6/3puum3baHtKIa3WsZ4lB6KYfSS/nlUCYAs8LduXtaECuXRHEss5zNcflsjito1aTw/tZkBjhacuVov3avp4kgN1ut+KhmTEDHzvcu2hblYgPC6ELRb8XHH0eyqG1UMcjDlonBLrrtPxw4zZrjOZjIZXxw9QhdodPUN7a3SonMjfTg9cuG4mBlRnZZLV/vyWD5O7u6dJ3bE4t031uYymlQqvkvJp//YvIZPMCee6cFcbq0ln9P5bE7uZjdycVMCnblwVkhjD4HJzyBQCDoShqVar7ck8b7W5OpV6gxlcu4dXIAD8wIaVE/p499qcW8tiGRk9q2WydrM+6bEcJ14/yMpmdyyuv4bl8GX+1J7/IaDkNsiS9kS3whoBFHn143kqfnh7MtoZC7fjyKQnVmHU+vicHD3pJpoe4deo0gN1t2JBaR2qwpob246Oa7iMjHBUepUvPN3gwAbpkYoFPbR0+X8uI/cQA8eVEY44NcqG1UEvHcxhbPl8sg8eV5mMplHMss453NyexJKeZ801RM1URMTiUxOZW42lpwyTBvKmo1Fdp7UorZk1LMhCAXHpwZwthAFwNHFAgEgvPP/tQSlv0do+vgGxPgzMuXDm6zIDQ2t4LXNiSyS+sKbW1uwm2TArh9SqDR4Z0nssr5ak86/5zM7bo30QlyyutY9OEefJ2t+PHWsbxz5TDu/+W4bo6MSi1x70/H+O3O8R2aS9NUJpBa1HHx4WSt+XcrrxWRjwvO5rgCcsrrcLYx59LhmrbaoqoG7vnpGEq1xIIoL26bHIBCpW4lPL6+aRSTQ9xYH53Hg7+eMPo6UQMckMs0f4DF1efvF11c3cDqYzmYm8gZ4e9EvUJFXG4l+1JL2JdawrhAZx6cOYjxQUKECASCC0dJdQOvrItn9fEcQBPyf2ZBOIuHDzCaYimsquf1DYn8qbVTN5XLuGasH/fPCDForqVSS2yOy+fL3emt6ujOlQGOVkR425NZUtvhwlSArNI6Fr6/h12PT+flSwfzzJoY3WM1jSpu/vYwa+6Z0G4bhSA3jfllSifER3mdxim2u51d+6X4+HpvOgDXjvXD0swElVrivp+PUVDZQLC7La9dNgRJgpBn/mvxvBPPzSaztLbV9ubcPS2IE5nl7E8rITqn4ry+j7NpVKk5lK4xSvNztsba3ITUomoOpJVyIO0AYwKceWT2IBEJEQgE5xVJkvjzaDYr1sdTVqtAJtOcbx+bE4aDteGIhUKl5rt9Gby3JVlnL7BoqDePzB7EQNfWbtOgqef4/XAWX+1JJ6e8/fUchgh2t+Wq0b7MjfTEx8mqzY4UtVqivE5BfkU99/58jPRi/TUiVQ1KFn6wh22PTqW8VsEbGxN1jxVVNXDTN4dZddcEo/8+TQRpuy6zy+qoV6g6NH23oKIe0LT+dif9Tnycyi7ncEYZZiYyrhvnD2gKhg6ml2JtbsKn143E1sKUNzYmtHjegadmAnDxh3tbHfOOKYFcOdqXNzcm8smO1PP/JtpBZqmmPiXcyx4bcxNOZpdzKL2UKz8/wJwID56eH27wwywQCASdJa2ommfWxLA/TWMLEOZpx8olUQxvoxtvb0oxy9fGkqxNzQzxcWD5xZEGu/i6op7D38Wa2yYHMjXEDV/ntoWGPuRyGc7adtvtj05jT3Ix13110OCaL/tkP2vvm0hpTSNf7UnXPZZSWM1Xe9J4eE5om6/pYmOOo7UZ5bUK0otrCPdqvy1FnlZ8eDlYtfs554N+Jz6+23cagIVDvPGw1xSTHtB+SGaFexDsbotKLfHR9jMi4tubR+Nhb8FVnx9ocayrx/jx6JxBfLAthZlv7bxA76BjxOdVIpPB6IHOWJjK2ZtSzCata9+N4wdy/8wQHKzE/BiBQHBuNCrVfLYzlQ+2p9CoVGNpJufBmYO4bXKA0TkqOeV1vLIujvXRGjt0ZxtzHp8byhWjfPU6ghZVNfDBtmS+33+602v99ubRTB3k1mXW582ZFOJK8ivzePW/hBbioononApu//4In18/ivJaBauOZese25pQ2C7xIZPJCHKz5ejpMlKLqjskPgoqmyIfbbvGnk/6nfiIzikH4JJh3rptTeJjnDYdcfmn+1o8Z1qoO1/tSeegNqUBmkJVR2szRr685Tyv+NyRJE10x1SucU+tqFOQkF/Fl3vSWXUsm//NHsQ1Y/w6PaZZIBD0bw5nlPL06mhd1GJyiCuvXBpl1LOjXqHi811pfLwjhXqFGrkMbhg/kP/NGqQ39VBZr+CLXWl8sC2lU2t8ePYg7myHeVlXYGYiZ9nCCO6cGsiU17e3Mh7bEl/Ic2tjeG1pFLuSi3Qu2rG5lRRU1rdLGAS52WjER6HxVuCzydeKD08HkXa5oDQVfja10NYrVBzXtm+NC9S0ph7LLNftf2r5HE5mlfPSv3G6baMHOrEvtZiE/I4XHnUnSrXEwfRSLM3khHvZU1zdQFFVA8/9Hcv3+0/zzIJwpnew5UsgEPRfKuoUvPpfgs7jwsXGnOcWRXDxUG+DUQVJktgSX8iL/8bqPDfGBDjzwsWReu/g6xUqfth/mlfWx3d4fVMGufH60iHtmg0Dmk7IwqoG8irqyC2vp7pBSZinHeFe9h2qq2jC3c6ShJfm8dTqU/xyKKvFYz8eyGT+YC9mhXvo/v0AticUctWYtr0/Otvx0pR28RRplwuHUqWmTNte5KrtdT6eWU6jUo27nQUBrjZs0k5CbEKS4JKPWtZ5jPBz4rNdaRdm0eeBeoWa+LxKrM1N8HKwpKy2kZTCam7+5jBTBrnx7ILwDs1EEAgE/QtJkvj3VB4v/BOnc8q8YpQPT88PN9pFkVZUzQv/xLFT2zrraW/J0wvCWTTEq5VYUarUrDqWzfK1cdQpVO1em425CV/eOJpxgfrnp1Q3KDmYVsLpklri8io5mF7SLuMxU7mMq8f4MczXkWF+jgS42LR7UNxzCyNbiQ+Aa748yFc3jmopPhLPr/hoSrt4irTLhaO0phFJ0vh0OGk/IM1TLjKZjDt+OKrbP+Gli7j80/0tjvHv/ZNY+MGeC7fo80itdhKvualcZ2C2K6mIi5KLuHqMHw/PHtRh616BQNC3ySqt5bm/Y3QGiIFuNqxYHKVLW+ujpkHJB9tS+GpPGgqVhJmJjNsmB3Lf9OBWBmOSJLExNp8X/4kjV3uX3h5umjCQp+aH6U2rFFbV8+/JPF5sFsHuKEq1xA8HTvPDgTO1JpNDXFl+cWSL8Rz6sDI34c3Lh/LoHydbPWZjYYqNuQk1jRqBtSe5mAalqs30UFPHS2pRNWq11C4hJEnSmciHEB8XjiKtQne2sdBZ8TYXHzFntcauPZHbol1275MzuOrzlmIENBbqPWs8X8doPMu8TC3BTwczWXsil/tmBHPTxIEXJE8qEAh6Lk3mjG9vTqJOocLcRM7d04K4Z3qQwfODJEmsPZnLivXxujks00PdeG5RJAF6uu32pRTz8rp44vL0TwbXx/9mDeL+GcGtLr6pRdX8sP803+7LaP+b7CC7k4uZ+dZOvrlpNNPDjKesl44YoFd87EwqYlqYO+tO5QEa34/D6WVMCnE1ejxfJyvMTGTUK9TkV9bj7dh2GqW8VqE737uLVtsLR1O9h6utJurRvN5jbKBzi46V724Zw30/HdP9PGWQG+tP5ekNz9mYm1Kt7UnvS1Q1KFn5XwI/HczkqXlhXDTY87xUhwsEgp7NqexynlodTWyuRhSMCXBmxeIo3ZRvfcTlVrJ8bSyHMjSF+v4u1jy3MIKZ4R6t9o3OruC1DQkdcop+flEEN00YqDsnqdUSJ7PL+WRHKpvijM/P6mpu/vYwj80N5Z5pQQbPkTKZjPUPTGb++7tbbP9kRyrvXTVMJz4AtiUUtik+ms+yae9puanY1NnGvFM1LF1J/xIf2oriJoe8pnoPNzsLAs9S4WMDnHUmNwB3TA402LvdF4VHczJLa7n7p2OMCXDmuYURHbIBFggEvZeaBiVvbUri233pqCVwsDLj6flhXD5SfxssQFW9grc2JfH9/gzUEliayblvejC3TQ5sdcFLL67hzY2JrIvO03ssfbxx2RAuG+mju8gXVtbzyvp4/j7RvVbqb2xM5NjpMj64ZjjW5vovrRHe9gS62bQaVhfpbY+ZiUw392VHYiHPLYow+nr1CrVuf3sjVvPNya/oGW220N/Ehzbt0lRs2jzlUnWWgDjbnfStzYl0BZNDXHl0TigFlfXsSy1hf2qJXrteU7kMR2tz5DIo7OYBQE0cSi/l4g/3cN04fx6ZEyr8QQSCPsyWuAKe+ztGV3dx8VBvli2MMGhv3jR1dvk/sboUy4IoL55ZEN4qJVBVr+DDbSkdKtz/9LoRXDTYS/dzdHYFiz7sWfV3WxMKGfbCZrY+MhVfZ/1txmvunsjQFze12LYtoZBxgS7sTtZEftKKa8gorjFqBFlZr7FJN5HLsDZvXxSjKfLh1c7un/NJPxUfmrTLwfQm8eGsm5YIEOhqw/7UkhbPPd6s/bYzLF8UQUFVA/tSiln88V7aMuRTqiXdensCMhmYyGQo1RLf7z/N+ug8np7f9owGgUDQuyiorGf52lj+i9F0/vk6W/HSJYONTl7NKq3l+bWxbEvQTHMd6GLNS5cOZnKIW4v91GqJNcdzeERP7YMhfrh1jO44Ku3z9dVOdAXmJnKG+jpwKrui1SDP9tKoUjP59e3sf2qGXhdRB2szFgzxapFmWbE+gZcuidSJD9AIklsmBRh8nUrtjBZ7S9N2n4NF5KObKKlu2WZ7Qis4xgx0Zm2z6YfLFkZw549nul78nK11duUd5Z/7JpFSVMXjf55qMUq5tyFJoGxWVVtc3cjDv5/k18NZ7ZpOKRAIejZqtcRPhzJ5/b8EqhqUmMhl3DY5gIdmDsLKwJ21QqXmqz3pvLclmTqFCjMTGXdPDeKe6cGtUiynsst5/M9T7fZHWnX3BEb6a6zVq+o1fiI/Hcxs41ltY24qb1Vk30SjSs3J7AqGDHBgpL8TI/2dMDOV8+I/cQZnthjiw20pvLI4Su9jV432bSE+AKYOcgdidT+nFRtvoW2KfNh3IAKd30M6XaCfiY+mbpem9tGmP0B7K7MWrnljA51b/HF2VngcfmYWvx3O5M1NSZ1dco/nUHop89/bzS2TAnhwZkirtjmBQNDzScyv4qnVp3QGi0N9HVm5OIoIb8O23UdPl/LMmhidmBgb4MwreopQi6sbeGNDIr8dae1zoY/mnSOZJbVc+9WBdvlwtBd9wmNsgDPW5iaczK6gtKaRI6fLWkzGHehizbKFEZibyln2V0yr5+vjp4OZPDY3VK/vSahn65u1fanFuNiYU1KjuUlWtnGzWlmnKRVob70HiLRLt3F2t4tcJkMtSa3aZJMKOj6m+Gx2Pz6dtzYl8uvh9n3gejNKtcTnu9L452QuyxZGME90xQgEvYJ6hYr3tybz+a40lGoJG3MTHpsbyvXjB7bopmhORa2CVzeccTV1sjbjmQURLB3RMgWrUKn5Yf/pdntrPHFRGHdNDUQmk3H0dClLP2lta3C+aBqdYWdpym2TAjCRyyivVXA8q4ykgmoySmp56d84lo7wIf7Fi7jmywPtSsX/eOA0980IabXdTY9/0nf7T2NhembERVuR8qbIh51l+y/jurkuQnxcWM4uOG36nEi0/CVvjT/TpjV1kJvOja+9rLp7PM/+FdPh5/V28irqueenY0wZ5MYLF+vv4xcIBD2DPcnFPPNXNKdLNJHdOREevHBJpMFpp5Ik8feJXF5eF6e7kbtilA9PzQvHyabl3f3elGIe+u2EbmaJMeZHefL+VcMxNZETl1vZqhX1QlJVr+TLs4bBfXTNCLLKanl9QwKrjmWTXFjFp9eNZOV/Cfxz0niHzZubkvR2+ei7OYvPq2Rgs1k4SrXxmpMzNR/tj3z0FIMx6EfiQ62WKNWGs5qqtWXIAKlV8WfzFEyYp12HRMQTF4Wx7K9YvSY5gwfYk5RfTaOqc4VMvYVdSUXMfWcXd00L4p5pQd3eTy4QCM5QUt3Ay+viWXM8B9BciF64JJK5kZ4Gn5NWVM2yv2PYm6IpxA92t+WVSwcz9ixX06zSWl78N47N7fDZ8HawZMP/pmBvaUZ6cQ3T39zR+Td1Hrn352NcPNSbb28ew4O/HudUdgUXf7iHj64ZQXltY4siUX2sPpbDNWNb26V72lvq0iBNNDdrU7bRlVBZr027WLXvMl6vUFGhFSztnXVzPuk34qOpW0OFpPul6iIfRuxJm9px20tFnUKv8BjoYk1MTvtd+3o7jSo1729NZs3xbF64OJIZYa2NhQQCwYVDkiT+OJrNivXxlNcqkMngxvEDeWTOIOwM3D03KFV8uiONj3ak0KhUY2Eq54GZIdw+ORDzZimCukYVn+5M5b2tye1ay/ZHpxHgakNeRR1Dlm9q+wndzNqTuaw9mctf907k6dXRxOVVcu2XB1m2MIK0ohpyyg3XpDy9JpqrRrf2RZkf5cXXe1tGWSzMzvybKtu4SdUVnHbQ48PKzAT7DqRqzhfnNEN95cqVyGQyHnroId02SZJYvnw53t7eWFlZMW3aNGJjYw0f5AIhk8l0EY+mvNcZ8WH4eSezKww/eBZr7pnQYkBQczJKjBet3jMtiBvG+7f7tXoLWaV13PLtEW7//gjZZZ0r3BUIBOdGWlE113xxkMf/PEV5rYIwTztW3z2B5RdHGhQe+1KLmffebt7ZkkSjUs2UQW5s+t8U7p0erBMekiSxPjqPyOc3tEt4fH/LGDJeXYC9pSlDX9jE+JXbuvR9nm8u/Wgvj18UysVDvVGqJZ5fG8vzbZiBAWyObx0Jmh3R+oasec1HuwtO29ntcmaarWWPqMnrtPg4fPgwn3/+OUOGDGmx/fXXX+ftt9/mww8/5PDhw3h6ejJ79myqqrp//HyTl32h1gBHk3ahQxMTjRGXV6kLa7WXJy4Kw9nGnI93pPL9/tNtP6GXsjmugFlv7+TjHSko+njaSSDoKTQqNRHIi97bzf60EizN5Dw5L4x/7p/EcD8nvc8pqW7g4d9PcM0XB0krqsHNzoIPrh7OdzePxt/lTB1XZkkt13xxkHt+Otamb9GzC8JJXzmfYX6OXPzhHka+vKXD58qewk3fHGagqw2Xj/QB4Lv9GbxwcaTR57yvR5jp6yRqHk1qO+1yxuejPfSUabZNdCr2Ul1dzbXXXssXX3zByy+/rNsuSRLvvvsuzzzzDEuWLAHgu+++w8PDg59//pk777yza1bdSdy1kY/CKs0voSkKltZsJPGkYNcOzRdo4pqxfnyzN0PvY/oGzz09P4zqeiWvbUjo8Gv1VuoVal7fkMjaE7msWBLFCAMnP4FAcO4czijlqdXRpBRqzm9TBrnxyqWDDTpvSpLGwOulf+Mo06Zlrhvrz6NzW7oZNyrVfLE7jTc2tu36vCDKi/euGoZCJXHPT8d0xmW9nfe3JvPpdSNYczyHvSklPDIn1Oj+sbmVSJLUIuKgzyHaVN5cfLSz4LSdkY+m1FBPqPeAToqPe++9lwULFjBr1qwW4iM9PZ38/HzmzJmj22ZhYcHUqVPZt2+fXvHR0NBAQ8OZiujKyvNXF9Hk6qaLfGj/EGwtzvzyOmsZPnqgEz+fZYBjaSanXqFuJTzeu2oYD/56olOv0xdIyK9i6Sf7uH6cP4/NDTUY9hUIBB3n7FZYV1tzli2M4OKh3gbD7VmltTy9JlpXPBnmacfKJVGtoiOH0ku544cjlNe2HbU4/MwsnG3MeWdzEh9uT2lz/97GXT8e47KRPvx5NJuPt6cwJ8LD6EC78lpFq66gs2ne3tx2q23HfD6aXLzD9HiMdAcdFh+//vorx44d4/Dhw60ey8/XqFoPj5a5LA8PD06f1p9SWLlyJS+88EJHl9Ep3A3UfDT/hXfWUlffUKN6RetjrVwS1a+FRxOSBN/vP82m2AKWXxzJRYMNV9oLBIK2kSSJf0/l8cI/cTpbgatG+/LkvDC9RlegKWr8em86b29Ool6hKSh9cJamoNTM5MxdeGlNI6+si2fVsew21/HFDaOYHeHB7uQirv/qUNe8uR7KuEAXVh3LZkt8IT/fNtao+Mgpr2slPs52W21ek9pWwWlVByIfkiRxLFNjmjZqYM+IOHdIfGRlZfHggw+yadMmLC0Nh27OVtdnh5ua89RTT/Hwww/rfq6srMTX17cjy2o37nbayEdVU82HhppmQ+U6M0/Fy8GSHYltt+NeFOnJU6ujO3z8vkx+ZT13/Xi0TY8BgUBgmKzSWpb9HaM7DwW62bBycVSrVtjmxORU8OTqU7ouvPGBLqxYEtXCn0eSJP48ms1jf55qcw2Lhnrz3pXDKKiqZ+CT687xHfUOHv3jpG5Oy88Gmg2ayC2vazUR/Gy31ebXSVV7az7a0Wp7uqSW4upGzE3kRHr3jKnkHRIfR48epbCwkJEjR+q2qVQqdu3axYcffkhioiYHmJ+fj5fXmemDhYWFraIhTVhYWGBhoX9KYlfTVHB6JvLRuuC0qR2pI/g5W+sqiY3R9MciaM2muAL2pZbw2NxQrhvnb9BdUSAQnKEpcvHOZs1sFXMTOfdMD+LuaUEtPCOaU9eo4t2tSXy5Ox2VWsLe0pRnF0Rw+SifFhe/lMIq/vfbyVYTvvVx6JmZ2FuasfCDPXqtBvoyo/2dWHcqj3XRecyN9GBjrP7oR66Rdtwmmp/2jKVdJEnqkL36Ua1V/OAB9j3Gd6lD4mPmzJlER7e8c7/55psJCwvjiSeeIDAwEE9PTzZv3szw4cMBaGxsZOfOnbz22mtdt+pO0hT5aHLda/pFuzazuj3b9KU9tKd745fbx3H1Fwc6fOz+RHWDkufXxrLmeA4rl0QR7mV4roRA0N85lV3OU6ujic3VXOwNzVZpzt6UYp5aHa2bV7VgiBfPL4rQnRtBY0b14baUdtVpfHb9SOZEePDl7nReWR9/ju+od7L8nzhmhbuzJb6QshrDN5in2zEjrPlNl7GC06oGpc6ssj1pl6O6lItzm/teKDokPuzs7Bg8eHCLbTY2Nri4uOi2P/TQQ6xYsYKQkBBCQkJYsWIF1tbWXHPNNV236k7ioY18lNQ00qhU61S+cxtFQG3RnmiJEB7t50RWOYs+2MNtkwN5cGaIwYmaAkF/pLpByVubEvluXwZqSVMk/8z88FaRi+aU1TTyyvp4/jyqqdnwcrDkpUsGM+ssr4ldSUXc+t3hNosdFw7x4r2rhhOXW0nAU+u75o2dIxamcoLcbAn3sifcyw5XWwsKKuvJKa8jt7yOnPJ6csvrzkuLb9M1RGXENGpDTD7PLzLektuoPPN8GYajv/FawentYIltO4Z5Hs3QiI+e1GHY5TZnjz/+OHV1ddxzzz2UlZUxduxYNm3ahJ1d91fYOlmbYyqXoVRLFFc3YGai+eXWn6PPR0Eb8wtmhrmzNaHwnF6jv6FUS3y6M5X10Xm8sngwk0PcuntJAkG3szmugOf/jiFXe8NzyTBvli2MaBG9bY4kSaw9mcuL/8RRUtOITAY3jNO0zzbvMiusrOf5tbHtaoU99PRMzEzkBD3dM0RHEw1KNXF5lQbTPrPCPfju5tFYmJrw3f4MPtuZSk1j13g8/aEVdcYmoLcnNV/QLPLu62y4/i1GKz4iB7Rdv1FRpyCpUOOzNdK/D4mPHTt2tPhZJpOxfPlyli9ffq6H7nLkchnudhbkVtRTUFmPv7MNBZUNZJTUnNNx2yoMEsKj82SW1nL9V4dYPHwAzy4Ix8XASVYg6MvkV9SzfG0sG2I14sDX2YqXL41i6iDDojynvI5n10SzXVuEOsjDlpVLhrS4AKnVEr8czuSZNW2Pif/0upHMCnfnsT9P6ebC9Ca2xBewRes0+t5Vw9j+2DQ+2pbCTwcz2zT0aoumgEdRVQPmJvJOz+9KbeY51dzQ7WxitHU4Ue0QHyeyypEk8Hex1rl89wS63+D9AuNmb0luRT2FVQ0EudtwKKNUZ8Ij6LmsOZ7D9sRCnpkfzmUjDYeXBYK+hFot8dPB07y2IZHqBiUmchm3t5GOVKklvtuXwZubEqlt1BSh3jcjmLumBrVw0Ewtqua+n48T30aB6PRQN768cTT7UosJfua/Ln1/3UWT3cGrS6LY8vBUVqyPN9om2x7sLU2prFdq2mcNiI8GpcpgITBAbbNIzEAjU8GbxMfgAW3XxR3NKAVgZA9KuUA/FB86l9PKeoLcNIVZzdVmV+Nhb0FBZcfbd8/G1sKU6mYtwf2R8loFj/15irUnc1mxOMqgU6NA0BdIyK/kqdXRHM8sB2CYr2ObhdgJ+ZU8sSpaZyg1eqATK5cMaVGE2qhU8/muVN7clNTmGrY9MhVnG/Mel2LpKp5cHc2iod58ct1Irv3yAAfSSjt9LBdbCyrrlRhr1CuoaMDPpX3nrYEG9qttVOquWYPb0TbbVGw6sof4ezTR78RHU9FpYVUDI7Thx9TCc0u7GONchYe3gyZS09+FR3N2Jxcz551dPDY3lBsnDBRtuYI+Rb1CxXtbk/liVxpKtYSthWmbLej1ChUfbEvms52a59hZmPLk/DCuHu3XYprqiaxybv32MCU1jUbX8MDMEP43K4RX/0vgs11pXfr+ehr/nMyluKqB964azrz3dlPaxr+NIZrS72dPrzWEsWnqAAMNpF3i8ypRS5obafc25rQoVWqdeO1J9R7QD8WHzmissoFgbeQjvfj8iY9zwcrMRFdYJmhJnULFi//GsfZkLq9fNoRBHt1f0CwQnCu7k4t4Zk2MrnBxbqQHL1w82Og8jgNpJTy1Olp3HtP3nJoGJW9uSjQ4f6o5J5+bQ2FVfY/pYrkQ7E8r4ddDWbx1xVBu/qa1e3d7aLpBlBtJCTvZnCny1eeA3YSZiQxvR/0Fp02mcGcblukjIb+K2kYVdhamhLj3rHNkvxMfTZGPgqp6Bjha6eav9DQcrc3aNT+hv3Miq5wF7+/m3unB3DMtuEVOWyDoLZRUN/DyunhdIaenvSUvXhLJnEjDYwcqahWs/C+eXw9nAZo74RcvieSiwV4t9tuRWMhN7bigfnztCGaEuTP7nZ1klbZtiNXXeGdLEl/cMIo7pgTyeSeiPU0Rk7NdS5vTvC22ttFwNNvX2dpglEtX76FnKu7ZNFmqD/d36nER4n4nPprsu0+X1CKXywh0tSUur5JAVxvSekgExMnajDIhPNqNQiXx7pZk/ovO59WlrYdhCQQ9FUmS+ONoNivWx1OunSR74/iBPDo31KB/gyRJ/BeTz/NrY3WGideM9eOJi8JaDMYsrWnkub9j+PdUntE1DPVx4M+7J7A+Oo+wZRu67s31Qm7//giHnp7J1vgCUos6dz0wliJvXihfa6TNN8BIp0u0rti07cjHEa2/R08rNoV+KD6aWpPSi2soq2kkyF0jPtztLXqM+BDCo3MkFlSx5JN93DIxgEfmDMLavN/9eQt6EUkFVTz7VwyH0jVFjuFe9ry6JIqhvo4Gn5NXUceyv2J1LaP6ZrhIksTfJ3J56LcTba7h3/sn4WFvSUgf6WLpCl7dkMBFgz35aHvqeX0dY2Znhtps6xUqkrXdme0RH0226j2t3gP6ofhwsjHXRTmOZ5UR5Kb5JZ+ry6mgZyBJ8NWedDbF5bNy8RAmhbh295IEghbUNip5f2sKX+7WFIdamZnw0KwQbp0UgKmJ/rTh2S23ZiYy7p4axD3Tg1vM6sgqreWRP07qBI0hrh/nz/KLI3lq9Sl+P9L2pNr+xOpjOfxx1/jzLj5yjMx6CXDV3+mSkF+FSi3hYmOOl5E6INB4w+SU1yGXwTA/x3NZ6nmh34kP0Pwi0oprOJ5ZTqinpginMwPlBD2XrNI6rvvqIJeP9OHZBRE4WLc9/0AgON9sis3nhX/idBee2REePL8oAh8nw+2XyQVVPLk6WncXO9zPkVeXDNGdu0DTafHtvgxe+jeuzTUcenomxdWNfbZ9titIL67R+XacL4xNQjcU+Wiq94gc4NCm11HT30uYp327LNgvND1vRReAEX5OrD6Ww7HMMuZHaYqzOpvfE/Rs/jiazfbEIl66JJJ5UV5tP0EgOA9kldbywj+xbInXuB0PcLTihYsjW81WaU6DUsXH21P5eEcKCpWEjbkJj18U1qrlNqWwijt/ONrmOezFSyK5arQf89/f3W+MFeUy6Ix56eN/nmLBEC/WtVEv0xHO9u1YdcxwxMlQm21sbvuLTXtyygX6sfgAOJFZjr+LNTKZ8fyboHdTXN3A3T8dY26kBy9dMrjN3niBoKtoVKr5ck8a729Npl6hxlQu4/Ypgdw/I9hoTdKRjFKeXB2tEwkzw9x56dLBLdovlSo1n+1K442NiUbXYCqXceL5OZzMKmfQs/2rtuNcXNPHDHTuUvEReZYhmKGuGE2brf5zVHQHbNXPTLIV4qPHEOpph425CTWNKk6X1OLrZG10IJCgb7AxtoB9qSU8uyCcK0b5Cot2wXllf2oJy/6O0QmIsQHOvHzpYEKMeNJU1it4fUMCPx7IBMDV1pznF0WycIhXi7/X+LxKbv/+CNllxlti3796OLPDPQh/rn93sXSGqvquvSEN8TjjMmtsHpivk7Xe2p9GpZrEfM2AuLaKTesaVcRqhUpPmmTbnH4pPkzkMob6OrIvtYTjmeUEudmQWVrLKH8njmhDVYK+SVW9kidWRfP3iVxWLokyOrxJIOgMxdUNrFgXz2qtZ4eLjTnPLAhn8fABRgXvpth8lv0do3NFvmKUD0/PD8fR+kwxfKNSzUfbU3hva7LRNXg5WLL90WlsiisQwqOTrI/O1zlMdwXeDmeiVsaGmRqa6ZJUUIVCJeFgZYaPk+GJtwCnsstRqiU87C3a3Le76JfiAzRqcF9qCccyywh2t2V7YhGBbjZ9QnyYm8q5dVIAqYXV7EstEdbsetiXWsLcd3fxyOxQbpkU0OMMeAS9D5Va4pdDmby+IYHKeiUyGVwzxo/H54YZLXgurKxn+T+xrI/WTKz1d7Fm5eIoJgS37NSKzq7g5m8PU1xtfGTDtzePZrifU7/37DhX4vIqGerr2GXio3lH5WYjQ+z8Dcx0aT5Mrs1i08wz9R49NcLbb8XHcG3r0bHMMu6YHAhAfhcMgOtOXGzMmRflyc8HM/lkx/ltE+sL1CvUvLI+nn9P5fLaZUMI82y7iEsg0EdMTgXP/BWjG+gW6W3Py5cONmp4J0kSvx3O4pX18VTVaybW3jFFM7G2eftsvULFu1uS+XSn8c/0UB8HVt09gW/3ZbTL0VTQNpZd6Jjc3Fp91dGOF5vG6IpN21HvoTUX66kpF+jX4kPzS0krqsHVVmO5ntqLK8A/vW4kPx08rcsVC9rPyewKFr6/h3umBXHvjGCjI68FguZU1it4e1MS3+/PQC1p7LMfmTOI68f5G/TsAEgrquap1dEc1PpxDPFxYOWSqFZFiUdPl3LTN4epaqPlc9XdE/B1tuozI+87y9RBbuxMMtzC2lGszLvuXOBiY6H7PtnItWaYAZO5ppkukW3Ue0iS1KzY1LmDq7xw9Fvx4WxjToCrDenFNbq0hDHTl57MI7MHsXxtLPmVwquksyjVEu9vS2F9TD6vLY1ipH/P/dAKuh9Jklh7MpeX18XrLM4XDfVm2YJwo91UCpWaz3el8d7WZBqVaqzMTHhkziBumjCwhVipbVTyxsa2B8HNDHPnixtG8frGxDYjI/2BnUlFuNpatJmaai9mRgRkR/F1Nuzl0oSthSmRetpolSo18Xka8dFWp0tacQ3ltQosTOVEePXcaG6/FR+gSb2kF9eQVlRNhJc9cXmVTAp2ZU9KcXcvrd0sGurNB9tTjA4zErSflMJqLvt0PzeOH8hjc0Ox6YHmPILuJTG/iuf+jtFFLQJcbXjxkkgmh7gZfd6JrHKeXHWKBG3HwpRBbrxy6eBWF6X9qSXc+PUhGlXGP9MbH5qCo7UZgcIsrAVdJTxAMw24q2iqKyuvbTS4z5gAZ70Rs7i8ShqUauwsTPFvQ8TsSy0BYKivY48etNmvz6xnzMbKmRTiSlxeZZuWtT2N8tpGITy6GEmCb/dlsDmugBVLopg6yPhFRdA/qKxX8O7mZL7bn4FKLWFpJueeacHcMSWwRY3G2TSNs/92XwaSpBkc+dyiCC4d1rL7pbpBycr18fx00HjqdMnwAbx1xVBW/pfQqemr/QUvB0vyzrFYtKv8nyY3G/PQJA70MS5Qf8R1e4ImlTQ+yAV5G8Xxm2I1hcszwtw7uswLSr8XH6C5I7l1UgCf70oz+ofR03huYQQvtsNOWdA5csrruPHrQywZPoBlCyNwEvN/+iWSJLHmeA4r1ifo7qrnRnqwbKFxW3SA7YmFPLsmRpfSXTx8AM8uCMfF1qLFfjuTirjx60NtrmXrI1OxszAl4CkR7WiLcxUeoBGcXcGSEQN03xsrNh0fqH8W1bZEjTNuW4KiolbBfu01bG6kZ0eXeUHp1+JjkIct1uYmVDcocbA2w8xE1qvqPr7ak97dS+gXrD6ew67kIl68ZLDOjl/QP4jLreT5tTEc1nYPBLjasPziyDajYcXVDbz0bxx/n8gFwMfJilcWt46iVdQqePHfOKNW2wBLR/jw5uVDeG2DqO24kDQouiaqPNz3TNfJ1oRCvfvYWZoSoafeo7i6gVPZ5QBMb0N8bEssQKmWGORhS4ABv5CeQr8WH6Ymcob6OLI/rYSEvCpG+Dnp8rg9HQ97i14llHo7xdWN3PPTMeYN9uTFSwbjZmfR9pMEvZaKOgXvbD7TxWJlZsL9M4O5dVKA0W4oSZJYdSyHl9fFUV6rQC6DWyYG8PCcQa3s1DfHFXD790faXIuIdnQfTtbmFFadew2JIe+O5owNcNbrN7QjsQhJ0vh7eLQxGmJjjMY/pKdHPaCfiw+AEf4a8XE8s4yJwa4cTC9lqI8DJ7MruntpRpH3UOOYvs5/MfnsTyvheT05e0HvR62WWHUsm9c2JFBcrSkMXBDlxTMLwlvMVdFHZkktT6+J1hWsh3vZ89rSKIb4OLbYr7Smkef+juHfNuaGXD7Sh9cvG8Jbm5L4cHtK599UL8bD3kLn+NoddFXapek8oTRSRDwu0EXv9u3aSMmMUONRj3qFStdmLMRHL6Cp7uNYZhlXjfHj7c1JnO4Fc166Ip8p6BzltQr+99tJ/jmZxyuLB+Pl0DPtiwUdIyanguf+juFYZjkAQW42vHDxYCaF6M/DN6FUqfl6bzpvb06iXqHGwlTOQ7MGcdvkgFatmutO5XHvz8faXMu2R6ZiaymiHU3Cw8HKjHAvOw6kXdjItPJcJtNpaV5sGptbaXC/8UGtxYdCpWaXVlC0lXLZlVREnULFAEcrve26PY1+Lz6azMZSi2oY6GKNrYUp5bViwq2gbbYlFDLn7V08syCcK0eLQXW9lfLaRt7alMRPB0+jlsDa3IQHZ4Zw88SANlsVY3IqeHL1KZ0B1PhAF1YsiWqVby+squeZNTFGbbUBrhzly6tLo3h/awrvbEk6tzfWh6ioU3AgrZQlwwfoZuZcCIq6IOVy1Wg/3fc/G+hkcrAyI1yPw/KRjDKqGpS42Jgz9KwI2tlsjNX8bc2J9OgV56J+Lz6am40dOV3GuEBntsTrLwgSCM6mqkHJk6uj+fdUHiuXRLXLSEjQM1CrJf44msVrGxIprdGkWC4e6s3T88PxbKPlvq5RxbtbkvhyTzoqtYS9pSnPLojg8lE+LU78kiTx14kc/vfbyTbXs/3RaThYmfX7aIcxVh/PwdXWXJcS6w0M8TljCvbbkSy9+4wNcNbbQrtd2+UyNdTNaIutQqVma0LvqfcAIT4AmBbqRnpxDZvjCpgY7CrEh6DD7EkpZu67u3jiojCuH+ffZi++oHs5erqMF/6J5ZS2tmuQhy0vXDxYb+j7bPYkF/P0mmgytenZBUO8eH5RBO52LQVLXkUdT6yK1oXNDXHVaF9WLoni50OZPLMmppPvqP9QXN3IxGAX9qb0DluEpqmyCiP1Hob+7rYltK/F9lB6KeW1CpxtzBndgy3VmyPEBzAnwpNv9mawNb6AWycFAGBpJqe+i9qsBP2D2kYVz6+N1QyqWzqEQDfb7l6S4CwKKut59b8E1mhD97YWpjw0K4QbJwxs00q7rKaRl9fF69pivRwseemSwcyK8GixnyRJ/Hk0m8f+PNXmerY+MhUPe0sR7egge1NKmBbqxo7Erpvjcr5oioTtNLJWfcWmWaW1pBRWYyKXtemeu1FrLDYr3L3XTOgW4gMYPdAJR2szymoVlNcqcLOz6JJcn6B/cjijjHnv7eaROYO4dVJgrzkZ9GXqFSq+2pPOR9tTqG1UIZNpukkemxvWZtt00xyXF/+Jo6SmEZkMbhjnz6NzQ7GzNGuxb0FlPY/9earNaMeCIV58ePVwtsQXMvOtnef8/vojvUF4zAo/I0xfXqffENLJ2oxQD7tW25uiHqP8nXCwMmv1eBNqtcSm2N6VcgEhPgCN38fMMA9WHctmc1wBk4JddXdGAkFnaFCqWbE+gXXR+bxx2RAG6Tm5CM4/kiSxOa6Al9fF69IkI/wcWX5xZKsWWH3klNfx7JpotmsvdCHutry6dAgj/VuOKu9Ibcf6ByYT6GZD5PMbqW1UdfxN9VGuHOWLo7UZn3XAMt7MRIZCde4dKeeLy0f56L7PKNHfRTkuUL9l+tZ2plxO5VSQX1mPjbkJE4ONd2b1JIT40DInUiM+NsXl8+DMENYcz8HWwlQ38VYg6Awns8pZ8P5uHpgRwl3Tgrp0SqbAOMkFVbz4bxy7kzW+Gx72Fjw5L6xd/iwqtcR3+zJ4c1MitY0qzE3k3Ds9mLunBbXqgCmsqufp1dFt1opNDnHlu5vHcDyrnLBlG87tzfVBmooxl4wYgJeDJR9tb9vJtScLD0DXoZJvxBpBX8qltlHJgTRNTUtb4qMp5TItzN3ojKGehhAfWqaEuGFpJie7rA5n7QyP2kYhPASdRyYDM7mcRpWatzYnsT5GEwUZ3MZIbMG5UVGr4J0tSfxw4DQqtYS5iZzbJgdw7/Tgdk0pTsiv5IlV0ZzMKgc0admVS6IIdm8ZvZIkiX9O5fHAL8fbPObqeyYwZIADSz7ZxwntcQX6WX1ME3X+867xXPbp/m5ezbnhYa9J6RmzxNdXbLo3pYRGpRofJyuC3Y3XjjWJj96UcgEhPnRYmZswJcSNTXEFnMquINDVhrTimu5elqAXI0nQqFJjZWaCUq0mPq+SSz7ay91Tg7h/ZrBRm25Bx1GpJX49nMlbm5J0rbOzIzx4dkE4/i5tz7moV6j4cFsKn+5MRamWsLMw5Yl5YVwzxq9VWLykuoFn1sSwQXviN8RQX0dW3TWejJIagp/5r/Nvrh9y2af7+fbm0dz0zeHuXkqnCHS10UXYvt2XoXcfFxtzQvSIi+ZdLsaidCmFVaQV1WBuImd6aO+avi3ERzPmRHqyKa6ATdqWWyE+BF1BnUKFuakcO0sTquqVfLg9hQ2xmihIk8md4Nw4lF7K8rWxxOVpzL6C3W15flFEm10CTRxIK+Hp1dG6z/ycCA9evGSwXr+P/6LzuPuntl1Kf75tLOODXHh6TTS/HNLv79BfsDY3wdxUjkKppl6pRtVO59CbvjnMAzNDeH9r8nleYdfz9PxwoG1L9bPFhSRJ7GjnFNsmY7EJwS6tip97OkJ8NGNmmDtyGcTnVbJUOwI5yM2G1CIhQgTnRqNSTaNSjaO1GfUKFSmF1Sz9ZB+3Tgrg4dmhWJmLKEhnyC6r5dX/EnRzUuwsTfnfrEFcP96/XfU1FXUKXv0vXicO3OwseOmSSC4a3Hp6cVlNI8vaMZNloIs1m/43lcp6hWih1VLbqGpVXDsnwgNLMxO2JxZSVW84xf3N3t45vbvJlt9YV46+AtH4vCryKuqxMjMxOO+lid6acgEhPlrgZGPOmABnDqSVUlmvRC5DCA9Bl1Jeq8Da3AR3OwsKqxr4Ync6m+MKeG3pEMa2caIRnKG6QcknO1L4cnc6DUo1MhlcPcaPR2YPwsW27YnDkiSxISaf59bG6trqrx7jx5PzwvS2NW6KzeeOH462edzPrh/J3EhPfjmUyVOrozv+xvoRm7RW87dOCiCnrM5gCquqXskdUwL5vANdMD2BpuJPQy22AHMjPVpta3I1nRjsYrSANLe8jlPZFchkLVt6ewtCfJzFnAhPDqSVcjCthKG+jhzXDpkSCLqKprtALwdLquuVZJTUcuXnB7h+nD9PzAvDth1Fkf0VlVpi1dFs3tiUqBMN4wKdeXZBRLsLefMr6ln295k5K4GuNqxcEqVX/FXUKnh+bQx/ncg1ekwzExmnnp8LwMAn13XkLfV7vtqjiWy8tjSKJ1dHI+nJyPQ24fHsgnDd94ZabCeHuOoVyk31Hm0NktukFWuj/J3a9KrpiYi+v7OYrXUrPJxRygRtFXJzb36BoKvIq6hHJgM/7TyYHw6cZu47u9o0qOqv7E8tYdEHe3h81SmKqhrwd7Hms+tH8svt49olPNRqiR8OnGb22zvZHFeAqVzG/TOCWf/gZL3CY1tCASNf3tym8Hjp0sEkvzKfuLwKwp8TLbRt4Wprzk0TBrba/sSqaO6eGnThF3QeuHioN6BpwzbEwiH6U3vHM8sAmB7avnqP3phyARH5aIWvszWR3vbE5lZibW6KTIZu/kN/wMHKjIq6llN97SxNjeZkBZ2nsl5JZb2SAFcbKuoU5JTXccPXh7hilA/PLIgw6mzYX8gormHF+nhdmN7O0pQHZoRwwwT/dncMpRRW8eSqaI6c1pzYh/k68urSKML0TBKtqFPw8r9x/HE0u83jHls2GwcrM6798kCvmTVyITGVy3Ti2tHajOTCaoqrG/l2Xwae9pZcPMy7RVTj4x2pRA1wIDqn9Tl3hJ8jx3pJJNrdXlOo/NG2FIP76BMNO5OKUEsQ5mmHt6OVweeW1TRyKKPU4HF6A0J86GFOhCexuZWcyCpnrLYGpL/QXHg0TY8UwuP8k15cg7ONOYM8bEkurOb3I9nsTCrilUujWs0O6S9U1Cn4cFsy3+7LQKGSkMvgmrF+/G9W++o6ABqUKj7ZkcrH21NpVKmxNjfhsbmh3DB+oF7b+51JRdz1w1HqFMadR++ZFsTjF4WRVVrLiJc2d+r99QeUaknXQeRobcalwwZgYSpnXXQeeRX1fL0nnecXRfDCP2fqIq4c7atXfPQW4TE/6owY+G7/ab37TAt1w9HavNX29g6S2xJfgEotEe5l32snaQvxoYc5kR68syWJXUlFPDY3lANppXjaW5JfaTiE1hfpTWOr+wKlNY2U1jQS5mlHaU0jBZUN3Pb9ES4Z5s3ziyJ15nd9HaVKzS+Hs3hn8xm/jimD3Hh2QXiHbOqPni7lyVXRJBdWAzA91I2XF0cxQM8dZVW9ghXr49vVErv78en4OlvzwdZk3tqc1O719GdM5DLKaxX8cOA0ZiYyli2M4NjpMv46kcvK9QnMifDQRbae/SumV8/XumdaMIDRduIFUa1TLvUKVYdbbPUVrPYWhPjQQ5inHb7OVmSV1mFrYYqpXNbvhIcxhvg4EOFlT02jipicCsprG1GoJGFF30Uk5FfhamvBEB8HYnIq+PtELnuSi3nxksHMj/Js0xq8N7MzqYhX1sWRVKARDMHutjyzILzN/HdzquoVvLExkR8OnEaSNEZOz18cyaIhXnr/7famFHP3j0epbCPCd/FQb967ahg1jSpRVNpBmi7EA12sySip5bm/Y7lhvL9OdJzMLm+x/9gA5zZbmnsqkd6aVF6TkNDHHD2pkq3xhVTWK/F2sGSEEf+fmgYlu5M1dWG9NeUCQnzoRSaTMSfCk6/2pHMoo5TJIa66wVL9mdEDnbh9ciA/HDjNr4f7t2nS+aa4uoHi6gaG+jpSWtNAVmkd9/58jIsiPXnx0kjc7VqbX/Vm4vMqWflfgq7Y1tHajP/NGsQ1Y/06NA9nS1wBy/6OIU87S+OykT48Mz8cJz1Ro5oGJSv/i+fHA5ltHvff+ycxeIADh9JLueKz3m353ZW42lowLtCZQDdbfJ2s8HGyxtrchJoGJdUNSpIKqtgSX6izlC+obMDD3oKCyga+33+aZ+aHE51TQV5FPUN9HDipra/rrcID0Anc59fG6n18Zpi73lquVcc0NUaLRwzQO2iuiZ1JRTQo1fg5WxPm2XsHVgrxYYA5ER58tSedrfGFPLsgvN+Lj/tnBKNQSdz907F2uxMKzp2TWeUMcLRicogr+1NL2BCbz/60Ep5fFMHi4W0PSOvp5FfU89amRP48lo0kaVpWrx83kAdnhuBg3f5i28Kqel74J4512ouWn7M1KxZH6YyezuZgWgn3/nyszdRihJc9a++biFwm45ZvD+ty8v0VmQwmBLkwws8Je0szrMxNyCmvI7OkhtzyOmJzK7GzNGWEnxNTBrkxJ9KT+2aEcLqkhidWneJAWil1ChUBrjakF9fw3tZkrhvnz6c7Uymt7f1p3s+uHwlofGSyy+r07rNwaOuUS1FVAzu1wnvJCJ9WjzfnjLGYR6/+/AvxYYBRA51xtjGntKYRR2tzLEzlNCgN2+T2ZeYN9kQtSXqHI8lkYGlq0maBnqDz5JTXkVdRx7RQd3LK6kgsqOLh30/yz8lcViyJwsvBcFV8T6WqXsGnO1P5ak869QrN52pBlBePXxTarjksTUiSxB9Hsnl5XRyV9UpM5DJumxzAQzMH6XWNrVeoeHtzUrt8I5oMwwor6xmzYmv731wfxNfZigGOVrjaWpBeXMOH21P0+nE0x9JMzowwd56ap5mt8/Nt43h3SxLvb0shq7QWE7mM6gYlaUXVONuYk1Wq/2Ldm5g6SGPnv8NIu7w+Q7C/T+SgUksM93MkyM3wILlGpVongHtzygWE+DCIiVzGrHB3fj+Szd6UYmaFe7AuuveGAjuLi405owc68+K/LV36XG0tCHS1IbmwirJahYFnC7oKtaSphB/kYcslw7z5Lzqf7YlFzHl7F8sWRnD5KJ9ecRekUKn55VAm721JpkRbTDp6oBNPzw/v8Jyb9OIanl4dzX7t6PHBA+x5dYnhqcExORU88Mvxds1sinlhLrYWpvx5NJtH/zjZoXX1JXycrHCxMSenvL5V11+gmw0BLjb4OFnh7WiFSpKoaVBSVNXAnuRicivqWR+dz87EIp6cH851Y/343+xBJORX6YpLQXOhnhjk0iq6bGth2uvqyJocSW/77ojex+dEeLSawSJJEn9q27qXthH1aLKid7Oz6PVzoYT4MMKcCE9+P5LN5rgCli0M75fi46LBnrx31lCnYb6OSJKk6zMXXDiSCqrJKK7lkmHeJBVWczKrnMdXnWJ9TB6vLhmidxBaT0CSJDbGFvD6hgTdxT/Q1YYn5oUxJ6Jj4WOFSs2Xu9N5d0sSDUo1lmZyHpkdys0TB2Kqpz5EqVLz6c5U3tzUdmfKY3NDuXd6MPUKFcNe3ER5PxXW5iZy5HLILqvTpQ+cbcyZEebOpGBXJgS56Lws9CFJEjE5lbz4byyHM8pY9lcMKpWamyYG8MblQznw2jZdgW+jUq23nd/ByqxXiY8mV9MGpcpganqh1nysObG5lSTkV2FuKmfRkNaPN+c3ba3d0hE+elvFexNCfBhhUogr1tqcpq2FGXYWplT1og9DV2Ail7Xw/oga4EBFnYJ0MfG322hUqfnjaDYj/By5dqwffxzNZkdiEbPf2cnyRZEsGdGzakGOZZaxYl28zuDLxcach2aFcNWYjhWTAkRnV/DEqlO66bWTQ1x55dIo/Fz0ex2kFVXzv99PclJb8GiMPU9Mx8fJmqSCKua8s6tD6+pLmMhlNKrUoNLU4MwIc2fpCB+mhbpjbtq+35dMJiPKx4Hf7hjPe1uTeW9rMi+tiyfMy55xgS4sGurNTwfPFPoWV7duq+1tHYaLtMLiu30ZBveZqaeFtqnQdHa4h9E6p7yKOl0HzZWjfc9hpT0DIT6MYGlmwqIh3vx2JIs1x3OYO9hTFx7rDwxwtGJ3crHuZ1O5DAlJCI8ewrHMchLyq7hurD9HT5dyMruCR/44yX8xeaxYHGX0zvRCkFFcw+sbE1gfrSmQszSTc9ukQO6cGtjh8d91jSre2ZLEl7vTUEuabphlCyIMCi21WuLHg6d57m/9HQfNmTfYk4+vHQHA25sSed+IK2V/QKWWcLbRWKBfN87/nPxl5HIZD80KIaOkhr9P5PL06mi2PjKVy0f5thAf+iIfva2w3UP7eVuxPkHv4/OjPLE5a26TQqVmrda+f+nIAUaP/+eRbNSSpg05wLX9dVE9FSE+2uCK0b78diSLddG5vH3FsH4lPqzMTUjRGjSBZtx4TE6l7uemqF8vO0f0KWobVXy9N53JIa7cNGEgPx/MZEt8IYczdvHiJZFcPNT7gkdBSmsaeX9rMj8dPI1CJSGTweUjffjf7EGdKo7dm1LMU6ujySzVDOhaNNSb5xdF4GrA5TSvoo7H/zzVQjgbYtXd4xnp70xNg5LI5zd2eG19DV9nK26fHMjlI331Fux2BplMxiuLo9gaX0hacQ37U0sYH+SCjbkJNY2aQvXK+t6d3npwZgiAzhRPHwuiWqdUdiQWUVLTiKutBVNC3Aw+V62W+O2IJuVy1ZjeH/UAIT7aZISfIyHuttqZBA06y/H+QO1ZKab6szpahOjoOexOLiY6p4K7pgayLbGQmJxKHvz1BOuj83hlcZTBC3VXUq9Q8c3eDD7enqJLT04d5MZT88P0zlBpi4paBa+sj+P3IxrB7+VgycuXDmamgfHhkiTx94lcHvrtRJvHdrOzYO8TMzA3lROXW8n893d3eH19CTc7Cx6aFcIVo3w7nAprD7YWplw63JsfD2Ty08FMJgS74udiQ7w2faZQ9e6TyS0TAwBYbsDbA/S7lq7S3swuHu6tt16pib2pxWSX1WFnacq8wa1bdXsjQny0gUwm48rRvry8Lp4/j2YzP8qL7w349fc1zu5iEV0tPZvyWgXvb0thfpQnYwa68P3+DDbGFnA4o4yXLhnMAj1TNLsCtVrirxM5vLkxkVytuVeElz1Pzw836LNhDEmSWB+dz/NrY3W1ADeM9+exuaEG0zUVtQqe+Su6XeZUL186mOvG+SNJEq/+l6C3hby/YGthyp1TArl1cgDW5uf3crBkhA8/HsjUdSf5O1vrxEdvp6lWY+1J/ROQFw7xahVJKqtpZGuCputn6UjjXS5Npo6Lhw/QddT0doT4aAeLhw/gtQ0JnMqu4HLtH4lMRpt97r0d4d3RO1kfnY+HvQWPzAll7clc4vMquffnY6yP8eKlSwZ36YyYPcnFrFgfrysA9XKw5NE5oSwebtyl0RD5FfUs+zuGzdpWzCA3G15bOoRRA50NPmdvSjEP/HJc17prjINPz8TD3pLqBiWD+3ma5bKRPjw5L+yCRMUAnRtnaU0jZTWNuNldmNc933x5wygAo0JqoZ4uln9O5aJQSUR62xuNDJbWNLJJayzWFwpNmxDiox242FowJ8KTddF5JBdWM8DRipzy3m+IcyEwM5Fhb2nWrguDoOsoqGzgtQ0JXDHKh4lBLnyzL4N1p/I4mFbCy5dGcdHgczMoSsivZOX6BJ0ro52FKXdPD+KWiQGdujNTqyV+OZzJq+sTqGpQYiqXcc+0IO6dEYyFqf7j1StUvLExka/2pLd5/LmRHnx63UhkMhkxORUs/GBPh9fYVxjkYcvLl0YxJsCwoDsfWJub6s6dqUXVKFR9w7Rxujadcu9Px/Q+Lpdpptiezap2enusPpaNQiURNcCBSG/9Hja9ESE+2skVo31ZF53HX8dzWDLCh2+NtFMJYFa4O1bmpsTnVbYoWhVcWH4/ko2/izXLFoTz86FMkgqquevHo1wyzJvliyL1zjwxRl5FHe9sTuLPo5rKe1O5jOvG+XP/jOB2j7k/m9Siap5aHc2hdI1vzDBfR15dGmX0bjA+r5IHfz2uG0BnjJ9vG8uEYFckSWLF+vh2uZv2RSzN5Dw0axC3Tgo4L3Ud7cHb0ZKc8joKKhta1ZD1RsYGOGMilyFJkkHzuouHercS5CmFVZzMrsBULuOSYYa9PSRJ0nl79KWoBwjx0W4mBbvqVLuFmeaDa24qp7GfWq4bQiaDe6YFsSm2QDfKXNC9nC6p5cV/47h5YgBTQtz4em86f5/IZV9qCSsWRzE7ou2x3OW1jXy8I5Vv92Xo/ubnR3ny+NwwBnay7U+hUvP5rjTe25pMo1KNlZkJj80N5cYJAw0aKKnVEl/tSeeV9fHteo24F+dibW7a77tZhvs58tblQwk0Yt19IWgqUjeRy/rEuIqVS6IA+C8m3+A+lw5v3UL759EcAKaFuhsV7ccyy0kurMbSTM7FRkRKb0SIj3ZiIpdx2Ugf3tuazKmsCoLcbEgtEn4XZ7Mgyot/TuaRWVqLk7UZTjbmFFTU61rqBN2DWoKv9qQT5mnHyiVRfL4rjdSiGm7//ghLRgzg+YWReg2O6rStvJ/uTNV5MYwZ6MwT88IY6d95e+eTWeU8seoUCflVAEwZ5MYrlw7G11m/WRhAbnkdj/x+UlewaIyHZw/iAW37Y0phFbPe7p+mYeYmch6eM4jbJwf2CEdMpVZ9mMplRttSewtNYu4eAykXP2frVi20KrXEmuOalMtlbXh7/HZY44WyIMob+w564/R0hPjoAJeP8uH9bcnsTyvhspE+pBbV6IbPCcDKzIQGpZrM0lrc7Sxwt2/pCyLoXkzlMhLyq1j2dyz/mzWI0poGvtyTzupjOexNKebVpUOYHqrJXytUan4/ksV7W5IprNJ0nIR52vH4RaFMD3XvtHdIbaOStzcl8fXedNQSOFmb8dyiCC4dZtyV9Z+TuTzy+0mN82YbbH90ms6E6YcDp1n2V0yn1trbCfO0472rhhPag8auK7W/PxMTGalFvTsy+vhFoUBrC4LmXDvWr1Xh9Z6UYgoqG3C0NtPVi+ijql7BPyc13Vt9xdujOR1K/H3yyScMGTIEe3t77O3tGT9+PP/995/ucUmSWL58Od7e3lhZWTFt2jRiY9t2GOwt+DhZM7mZijXpI+q9q/BxsmJLvKZL4WxDMkH303TX2ahU89qGBBLyq/j4mhEEuNpQUNnAzd8c5rE/TvLroUzmvLOLZ9bEUFjVgI+TFe9cOZR1D0xmRljnx3jvTi5i7ru7+HKPRnhcMsybzQ9PZfFww0PxqhuUPPrHSe7/5XibwiPQ1YaUV+YR4GqDQqVm9ts7+63wuG6cH3/dO7FHCQ/QdDMBmMnlvd4v6YbxAwH4aLthR9zLR7UWDU2FppcM9TZYTA3w76k86hQqgtxsGHUOUcaeSociHz4+Prz66qsEBwcD8N1333HJJZdw/PhxIiMjef3113n77bf59ttvGTRoEC+//DKzZ88mMTERO7ue9SHoLFeO8mVXUhG7k4uYFe7OxtiCtp/UTyitaUSSNN4Bsbka4WFmIuv1BkJ9EQtTObuTi4nJqeCFSwZzIrOcr/em88fRbP7Qnhydbcy5f0Yw14z1M3qSbIuKWgUvrYvTuQN7O1jyyuIoo3d9oEnNPPDrcU6X1Lb5Gq8sHsy1Y/0BKKisZ+yKrZ1eb2/GzsKUV5cOOW+eLudCRa1C1/Wm6gM+BbZaq/QPDNjxLxk+oFVbe2W9go3attn2entcNdqvR81q6io6JD4WLVrU4udXXnmFTz75hAMHDhAREcG7777LM888w5IlSwCNOPHw8ODnn3/mzjvv7LpVdyOzItxxtjGnoLIBfxdNaNfSTE69ovcXT50rTSeW5pMohfDomTQo1ZibyimrVfDAL8f17jM30oOrx5yb8NgcV8Aza6IprGpAJoMbxw/k0bmhuhO3PtRqic92pfHaBv0zMs6maSAcwK6kIm74+lCn19ubifS255NrRxocstfdpBVr0iwe9hbklPVuq4KfbhsLQGGV4eF3147zb7Vt/ak8GpRqQtxtiRpguG02Pq+Sk1nlmJnIWDzCeF1Ib6XT/VYqlYpff/2Vmpoaxo8fT3p6Ovn5+cyZM0e3j4WFBVOnTmXfvn0Gj9PQ0EBlZWWLr56MhakJi7XVy+nFNYR62AnhIeiV6OvUCvO0Y5bWvvyXQ1lc/OEeYnIqOnzssppGHvr1OLd/f4TCqgYCXW34487xLL840qjwyK+o57qvDrZLeEQNcCB1xXx8nKyRJIknV53qt8Lj0mHe/HnXhB4rPABdgX6Aqw0H2lE03JMZH+gCwON/ntL7eISXPSP8HFttb5pgu3Sk4VQjoGuvnR3hccFM4C40HRYf0dHR2NraYmFhwV133cWaNWuIiIggP18TSvLwaNm25+HhoXtMHytXrsTBwUH35evb8wtrmvqttyUUnrNZk0DQk0gprGaEvyOfXz8SV1tzkgqqWfzxXj7antLuKaMbYvKY/c4u/jqRi1wGd04JZP2Dk426lAJsjM1n9js72Zfa9oXprcuH8s/9kzCRy6htVBLw1HpdmLo/IZfBswvCeefKYV02CO58cfS0xscl0tuBfaltD/3rqUwZ5IZc6+2xI7FI7z7XjfNvJS5Ol9RwOKMMuQzdDaw+6hUq1hzXtOJeOdqv6xbew+hwt0toaCgnTpygvLycVatWceONN7Jz507d42f/g0uSZFThPfXUUzz88MO6nysrK3u8ABnkYccIP0eOZZajliTsLEx1g7QEgt6Ku50FhVUNvL4hkQlBLnx/y1je25rExtgC3tiYyLaEQt6+Yqgu3Xg2JdUNPL82VjdfJdjdljcuG8JwP+PFcnWNKl5eF9dixLoxDjw1E08HzfjyrNJaJr++vQPvsu9gb2nKR9eOaFEE35PZrxWVLr18OOeKxYMBWH0sR+/jZib6jcNWafefFOKGh72lweNvjM2nok7BAEcrJgV3fDZSb6HDkQ9zc3OCg4MZNWoUK1euZOjQobz33nt4emoiAGdHOQoLC1tFQ5pjYWGh655p+uoNNEU//j2V12bhkEDQG2hqqbUyM2FfagnXfXWQK0f78ublQ7G1MOXo6TLmvbebnw9mIp1VMLjuVB5z3tnFv6fyMNFao/97/6Q2hUdyQRWXfLSnXcJjqK8jaSvm64TH9sTCfis8fJysWH3PhF4jPHLL68goqcVELkOh7N11YE31RY/8cVLv49eM8cPmrNSiUqXmzyOayNzSNmo4mlIul4/y6RHeLOeLc/bYlSSJhoYGAgIC8PT0ZPPmzbrHGhsb2blzJxMmTDjXl+lxLBzijY25iabuo4e1swkE50KdQkWohx2lNY3c8u0R4vMqWXvfRMYGOFPbqOLpNdHc/v1RSqobKKpq4O4fj3Lvz8coqWkk1MOOv+6ZyOMXhRmd8SJJEr8fyWL++7vbZZG+YnEUf987URfuXr42lpu/OdyVb7vXMNTXkTX3TCTYvfecd5qiHoMHOHBEm37pjby2VONoGptruA5KX6HpfzH55FbU42prztxIw6n60yU17EstQSbT36bbl+hQ2uXpp59m3rx5+Pr6UlVVxa+//sqOHTvYsGEDMpmMhx56iBUrVhASEkJISAgrVqzA2tqaa6655nytv9uwsTBl4RBvfjuSxeH0UiaHuLI7uffmMQWC5iQWVBHpbU9sbiVf7UnnYHoJ7101nG3xhbyxMZEt8QWMfPlMm7mpXMY904O5b3ow5qbG72mqG5Qs+ytGl9dui+amYfUKFSNf2txvHXPnRHjw3lXDe3x9x9k0+f+Ee9r16tqcS4ZpohaLP9LfRDE2wJlBHq1FYdPww+vG+RsV5U1RjykhbgxwtDrX5fZoOiQ+CgoKuP7668nLy8PBwYEhQ4awYcMGZs+eDcDjjz9OXV0d99xzD2VlZYwdO5ZNmzb1GY+Ps7lyjC+/HcliXXQeK5dECfEh6FM0ebU4WpsRk1PJxR/s4aVLB/P5DSO56ayow+93jWdEGykWzTEruP/n4waHcDXHztKUI8/O0rX65pbXMeHVbZ14J32DK0f5smJJVK8LxVfVK9iWUNjdyzhnZoa5Y2lmQkWtwqDh3XV6oh5HT5dxIqscc1O53sebUKrUOo+dq/rYEDl9dEh8fPXVV0Yfl8lkLF++nOXLl5/LmnoNw30dGeRhS1JBNVX1St3gOYGgL1Feq2DMQGcOZZTy8O/689xPr47m3auGGZxEK0kSPx7MZPna2HZ1zdwzLYjHLwrT/Xz0dBlLPzHcst/XuX1yAE/PD++VZlOb4wpoUKoJdLMhqaCqu5fTaV5dOgSA+37RP8fFwcpMb0rla23U49Jh3kbbZrcnFlFU1YCLjTkzw9se9tjb6Z65yn0EmUzGFdq83C+HMo2qWoGgN3Moo3We/r2rhvH1TaNwtTUnIb+Kiz/cyzd701sVo1bWK7j352Ms+yumXcJj9T0TWgiPXw5l9mvh8eicQb1WeACsPZkLwDBfTYdgb8TSTI6bnQVKldpghPv6cf6tUo7ZZbX8F6Pp/rplUoDR12gaIrd0pE+bqcu+QN9/h+eZy0b6YGVmQkJ+Fd6Olv3ij+Z8MjPMnSfnhfHY3FDmtGPUu6D7eGLVKYqrG/nvwSlMD3WjUanmhX/iuOmbwxRpO2ficjXpmvXRhr1+mhO9fI4ufSNJEg/8cpynVkeft/fQ03l2QTj3zQjptcKjuLqBPdqLtbqdPjE9kX/umwTAJztSDe5z9djWnhzf7ctALcGkYFeDUUHQmOs1paau6OOFpk2IqbbniKO1OVeO9uXbfRn8cSSbRUO8dS52go5x88SBPL8ossU2pUrNtoRC7vjhaDetSqCPpgLrx/88xWUjffjo2hH8eTSbV9bFszOpiHnv7WZyiCvrovP0OqmezZiBzvx6xzjdBND+XlgK8Mz8cG6bHNjdyzgnfjmYiVItEeltz952mMf1VEK0RaRvbU7S+/iscI9WBaLVDUp+PaQpIL21jajHqmPZqCUYPdCJYHfbLlhxz0fcpncBt04KwEQuY09KMaMH9r3pgxeKK/UUWZmayJkT6Un6yvl8c/PobliVQB+7k4u5c2ogchn8eTSbxR/tY0KQK//cPwl/F2uKqxtYczynXcLj+UUR/H7XeJ3wKKpqIGzZhn4tPJ6cF8btU3q38FCo1Px48DQAHvaWumhYb+P7W8YAmrlBhrhuXOuox++Hs6hqUBLoZsPUQYb9WNRqSdflclUfdjQ9GyE+ugBfZ2vmR2mmSO5PK2Gor2P3LqiXYqwYSyaTMT3UnYSXLtL7QRdceD7bmcZtkwNxtbUgsaCKiz/cw6bYfEw70I3x7/2TuHnimbvChPxKRr+y5Xwst9fw2NxQ7poa1N3LOGc2xuZTUNmAq62F0QFsPZ3JIRqXUUNzgwY4WjHlLLM3lVrim32aQtNbJgbohLU+9qQUk1lai52Fqe460h8Q4qOLuFN7l/LvqTxmtTEqXKCfspq2LZctzUx4+dIoXQ5W0L18visNV1tzxge6UNuo4s1NSboBYm1xavkcBjeb7LkrqYiL3t19vpbaK7hjSiD3Tg/u7mV0Cd/tywAgaoA9MTk9e2CoIZ5fFIFMJjPaxXjDeP9W4mJzXAFZpXU4WpuxdIRxB+wvdqcBmkLT3ubfci4I8dFFDB7gwMRgF1RqibzKepxtzLt7Sb2OuLz2n6CifBw4tmw2FqLAt9tJyK9ifwemlEZ42ZO2Yj72lma6bb8cyuy3E2mbWDrCh6fmhbW9Yy/geGYZhzPKMJXLaGhH6q2n0tTBePXnBwzuo8+JtKm99tqxfkYFRUxOBbuTizGRy9qsC+lriDN3F3LnFE2odM2xHDHtthPsNDAh0hDONubEvjCXaaG9Y76F4AyZpbWApqPlxX/i+nVHC2i6vF5bGtVru1rO5r2tyQAM93Ns15Tinsiiod6YmcipV6h0f69nc/lIn1Y3mtHZFRzKKMXMRMYN4wcafY3Pd2miHguHeOHrbN0l6+4tCPHRhUwOcSXcy546hQpJ0oy7FrSfDbH51HRwOrCpiZxvbhptdES1oGdw++QAXGzMicurZNEHe1h3Ko+rPj/A13vTu3tp3coQHwc+vGYEpiZ943R8PLOMHYlFmMhlSL23u5aXL9VMr33u7xiD+9w1rXVtzld7mgSFt9HptVmltayL1niA3NHLi4s7Q9/4a+8hyGQy7piiCZ1tjsvvNRMnewq1jSp+budY9ebIZDLevmIo1+rpsxf0DIb6OvLQrEGse2Ayowc6UdWg5N6fj3EwvfcOGesKPO0t+eKGUX0q1//uFm3Uw9eRI6fLunk1ncPe0hQHKzPtAET91gkLhngR5NayLTa/op5/T2kERVtplK/2pKNSS0wOcSXS28Hovn0RIT66mIVDvPF2sKS4uhEXbTjOzESEQNrL57vTqFd0vMVSJpPx8qWDmR8l0l09kZNZ5Sz+eC/1ChWfXDeyu5fTI7AyM+HLG0cZvTvubRzLLGNnkjbq0d2LOQfWPTAZQDdrRR/3TmtdGPzd/gyUaokxAc4tiqnPpqymUdde25Su728I8dHFmJnIdTa6x7PKGTPQGYWqN38MLyxFVQ38sP90p54rk8n44OoR+PWz3GlP5/c7x+NuZ0FSQTXT3tzBqJf7dyttE29fMdToBaq3IUkSr/2XAGiiHkd7adQD0NVfPP7nKb2PzwxzJ8K7pWNpbaNSF7ltK+rxw4HT1ClURHjZMzHYpQtW3PsQ4uM8cNUYP+wtTUkvrtH9gYroR/t5e3MSmSX6C7zawkQuY+NDU7p4RYJz4YrP9vPTbWNxszPs49LfuGNKIPP6mKfDhph8DqaXYmEqNzj1tTfw170TAU20zhD3zmgd9Vh1LIeKOgV+ztbMMjIYrl6h0rUh3zk1sM8UGXcUIT7OA7YWproWrZPZ5Yz0dxLRjw5Qp1Dx1JpTrQaUtRcrcxO2PjK1i1clOBdmv7Or1zpcdjVjBjrz+NzQ7l5Gl1KvUPHK+nhAU99zKruim1fUeYZpTSIv+Wiv3scnBLno5g81oVZLfKNtr7154kBMjHQb/Hk0m5KaRgY4WrGgjwnQjiDEx3nipokDMTeRczyznAlB/TOsdi7sTSnhm70ZnX5+kJstKxZHdd2CBIJzwFpbUOpqa86H1wzvM50tTXy1J53ssjrc7SzIKTNsyNXT+eiaEQCcyi43uM99ekzgdiQVklZcg52FqV7fjyZUaklnKnbb5IA+93fQEfrvOz/PuNtZsmSEpv0zPq+SIT59J7d7oXhlfTy7kzvm/dGcq8f4ivoPQbfjZG1GrXZOzRuXD8W9DxWYAhRW1vPx9hQAAlxtjLqB9nTmaf2ZLv5Qf9RjuJ8j4/XcTH6ljXpcPdYPWwvD81o3xeZzuqQWR2szvbOs+hNCfJxHbp8SiEwGW+IL+5Vnf1ehUkvc+9Mx0oqqO/V8mUwmhtEJuhUbcxOdw+f14/yZHtr3Ri88vzaWmkYVwe62vbp1+r2rhiGXyziWabhQ9r7pwa1qNOJyK9mbUoKJXMaNEwYafK4kSXy6MxWAG8b5Y23ev4fKC/FxHglys9UVHqUVVRPuZd/GMwRnU1mv5MZvDpFlwGGwLYLcbLmqn99hCLoPJxtzahtVBLra8PT88O5eTpezISaP/2I0wwTdjAyG7A1cPNQbgCUf79P7eLiXPTP0zO1qMsm7aLAnAxytDB7/YHopJ7MrsDCVc4MRkdJfEOLjPHPXVI1z3V/Hc8VFsJNkldZxxWf7SS9u38Cys/nf7EFdvCKBoG2iBjiQXVaHTAZvXjG0TxmJAVTUKlj2dywA44NcOjTfp6fx5Q2jkMlkHM4wHLm5d3pQq6hHYVU9a0/kAm23136mjXpcNtLH6ATv/oIQH+eZkf7OjPR3olGlJreijkEetm0/SdCKvIp6rvhsPwn5HZ+O6WFvyazwvhfuFvRcPO0tKa7WdPdcN9a/VXdEX2DF+niKqhrwc7YmuaBzqdGewkzt+eHyT/frfTzA1YZ5g1unzr/anU6jSs1wP0ejv+PE/Cq2JxYhk8Htk/uflbo+hPi4ANyp9e3/+WAmN03oX5MLu5KiqgaWfLyPDTF5HX7uLf1sYqSge/F3sSavoh53Owseu6hvtdUC7E4u4rcjWchkmgtzfmV9dy+p0/x8+1hkMhn7jQzAu3d6cKv22aKqBr7bnwHA/Xp8P5rTNEBu3mBPBrranNuC+whCfFwAZoV7EOhmQ1W9kqp6BYHij6/T1DaquOvHYzyzJpraxvYPoRvl73weVyUQnGFyiKvO52LZwgjsLc26eUVdS0l1Aw//fhKAiUGu7EzqfEdaT2BCkCsAV39xQO/jXg6WXDLMu9X2T3akUq9QM8zX0WghcV5FHX+fyAHgjn5qpa4PIT4uAHK5jDu0obZv92Vwez+cYNjV/HQwk9lv72JzXEG7zMjMTeWM8u97oW9Bz8LWwhRzEzl1ChUj/BxZOKRvdblJksRjf56iqKqBQFcbsss6VwjeU2hyM92TXGxwn3umB2N2lh9HQWU9Px7UjIF4ePYgoy6l3+zVzHsZG+CsMzATCPFxwbh0+AA87S3Jq6inul4p/CfOEQtTOTnlddz+/REu/3Q/u5KK2hQhYV52F2h1gv7K7AgPtiUWAvDMgog+Z5393b4MtiUUYm4qZ5CHHRmdHIPQU2gSA9d9dVDv4w5WZlw+0qfV9o+2p9CoVDPK34nJIa4Gj19Rp9DNe7lrqoh6NEeIjwuEpZkJD8wMAeDTnalG+8EFbdOgVBPhZY+FqZwjp8u44etDzHx7Jx9uSyalsEqvEDGViz93wfnD19mKqnolkqTJ7Y/sY5G2+LxKVmgHx82N9GRDbH43r+jc2PCQZnLtDq1Y1Md904OxNGvZpZRTXsevhzQTaR+eYzzq8fPBTKoblAzysGVaqFsXrLrv0L9dTi4wl4/y4fNdqWSU1FJRq/H2781ugN1NXF4lM8LccbEx57+YfNKKanhzUxJvbkrCzc6CIQMcCHSzwdXWAltLU77VDnMSCM4Hi4f78MG2ZAAenBXSzavpWirqFNzz0zEalWrGDHTmv+iOF333NMI8Nb5LN31zWO/j5iZyrhnr12r7h9tSaFSpGR/ooqsX0UeDUsU3Wg+QO6a0btPt7wjxcQExM5Hz8JxQHvjlON/s1dR+vL05qbuX1avZlqC5a3lk9iAcbczZHFfAgbQSiqoa2JpQyNaEbl6goF8Q6GZDVmktkqRJvTRd2PoCarXE/347QXpxDd4OlpjIZSjVvXtQ5vZHpwGwOa7A4D73zQjG5iyr9MySWv44cibqYYy/j+dSWNWAp72lzsBMcAYhPi4wC6O8+GRHKvF5lZTWNOJuZ0GhmPZ5zrylFXH3Tg/i/hnBKFRqUotqSCuqZnNcAdm9eNiVoOdz9Wg/XtugUbr36hk81pt5Z0sS2xIKsTCVMzvCg+/2n+7uJZ0zAdqOw9u/P6L3cRO5jBvHD2y1/YNtySjVEpNDXBk90HAHnVot8dkujanYLZMGYm4qUr5nI8THBUYul/HY3EHc8u0RfjmUyU0TBvKZtgdccO58tD2Vj7ZrPvSO1mY0KtW6oV4CwfnA38Wa2kYVSrXEcD/HPtXRsCEmjw+2aYbGXTPW75wmTfcU9j45A8CoX9D9M4JxsG7ZIp1eXMPq45qW2YfbcE3emlBIapFmyu3VY1qnbgSi4LRbmB7qzih/JxqUaoqqGnC1Ne/uJfVJymsVQngIzjvXjfXnd20o/rqx/t28mq4jJqdC5+dx6TDvPiE8vBwsdfNX7vrxmN59XGzM9bqQvr81GZVaYkaYO8PbcKz9XBv1uHacP3Z9zOelqxDioxuQyWQ8flEYAGtP5jInUjPG2c5SBKIEgt6ElZkJvs6awnEHKzMW9BFfj6zSWm7+9jC1jSrGBjiTXNi77dOb+Fvr6/HPyVyD+zw6N7RVrUdKYRV/aY3C/jfLeNTj6OlSDmeUYWYi4+aJA89twX0YIT66iTEBzkwLdUOpliiqasDD3oKq+vY7dgoEgu7n0uED2KU1qJo32LNVW2ZvpLSmkRu/PkRRVQNhnnb4u1gTm9vxmUo9jfGBLrjbWyJJEvf/clzvPiHutnp9Pd7dkowkwZwID6J8HIy+zmc7NWn0xcMH4GFvee4L76MI8dGNPDpHM/Nhc1wBC6I01dCWZuJXIhD0Fi4d5s3GGI3fxfyo3h/1qGtUcdt3h0nTdrZcNNiT349kd/eyuoSPrx2h+f+OVIP7PDkvDNOz3EwT8iv595SmPqStCdmxuRVs0nbQ3CGcrI0irnTdyOABDjr75bTiaiK87KlXqLt5VQKBoD0McLTCRC6jpKYRByszxge5dPeSzokGpYp7fz7Gscxy7C1NuWVSAO9uSe7uZXUJd08LwsnGnHqFijc2JurdZ1ygMzPCWs9oeUfbSbcgyotwL+Mt1G9qj71wiBfB7sJR2RhCfHQzj8wJxUQuY0diERcN1tR+yIUXjUDQ41kwxIuD6aUATAhyaTX/ozfRqFRz70/HdS21/5s9iJfXxXf3srqMR7QRixu/PmRwn6fnh7cyAovJqWBjbAEyGTzUhnHc4YxSticWYSKX8cicvjfJuKvpvZ+WPkKAqw1XjNLkGPckFzMjzJ1e7t/Tp3G0FpXrAg0zw9x1Y9h7c9RDoVJz/y/H2BJfgLmpnBcvieSFf+K6e1ldxo+3jsXURDMLqkksns3FQ70Z4uPYantT1OPiod6EeBiOZEiSxGta6/krRvnqfEQEhhHiowfwwMwQzE3lHMooZUKQCyYi9NHjaOpEcrYRbdECsDY3YZifIyeyygGMGk71ZBQqNQ/8cpyNsRrh8drSKJ5aHd3dy+pSJmkHv018dZvBfR6b2zpScSKrnK0Jhchl8OBM41GP7YmFHDldhoWpvM19BRqE+OgBeDlYceN4jT/AmuM5XDnat5tX1L8x1Yo/mQyctJEONzsLAFxtLLptXYKew9gAZ4qrG6luUGIqlxHkZtvdS+owtY1K7vj+CP/F5GNuIueNy4awfG1cn4q87tMaihkbHnfbpAB89UwZbxp9sXi4D4FGfr9qtcQbGzX73jhhIJ4OosOlPQjx0UO4e1owthamxOZWEuphh62F8PzoDuwsTJFr877hnvaU1SqQyzTGQ3BGhAj6NyP8nEgqqAI0c116m312WU0j13xxkO2JRViayXnj8iG89l8CFXWK7l5alzE/yhNvRyskSTI6PO6+Ga3t8I9klLIrSVO/0VYk459TucTnVWJnYcrdU4O6ZO39gd71ienDODdz1ftuX4Zo0+oG7CxNaVCpaVSp8XO2pl6hcUedHeFBdE4FIMSHQEOEtz252onUfs69K7+fXVbL0k/3cSKrHEdrMz6/fhSvb0gkt6K+u5fWpbx9xTAA3tykv7sF4NG5g3C0bp1KbYp6XD7SBz+X1lGRJhQqtW7fO6YE4iTSsu1GiI8exK2TA3C2MSetuAYHKzO8RfjugiGTQVW9kkalmkBXGzwdLEkrrsHe0hRXWwvqFWpC3G2paeicEVyTpbNAg5lJ76prOnsaeriXPaXVjcCZqFhv4ERWOUs/2UdakcbH46sbR/PkqlPklPetwYvvXjkMSzMT6hpVullPZ+Npb8kNeobH7U8tYV9qCWYmMr1Rkeb8djiL0yW1uNqac8ukgK5Yer9BiI8ehK2FKfdM04TtPt2ZygOicOmCIUmaEOykYFcszUw4lF6KiVzG/TNCWH1MY6t808SBbIjN79TxxfyelihUvaewwNJMrkvFgaYmyNPekrJaTYqit9zt/n4kiys+209BZQODPGz59PqR3Pj1oT4X8QC4ZJjGtPGyT/cZ3OfJeWGtHGklSeLtzZpIyVWj/fBxMhz1qGtU8f5WjQ/KvdODW1myC4wjxEcP47px/ng7WJJXUU9VvZIhbVj5Cs4dC1M5Axyt8HexZk9KMXF5lVibm7BsQTg/HjxNnULFuEBn6hpVHbLAt2p2YlNLmtcR9D7sLM1QNavCdLezQC6XIaHZ1tOb0xQqNc//HcPjf56iUalmdoQH7145nIs/3Et1JyN5PZmtj0xFJpNxuqTGoC384AH2XDzUu9X2jbH5HM4ow9xUzj3TjddvfLc/g8KqBgY4WnHNWDG5tqOIs2EPw9LMhAe1ZjYf70jh/hki+nG+aVCqySmvI7mwGpkM5kZ68ODMED7YlsLpklp8na14al64rue/vTRPLVQ3KEUVfC8gxL11V4P5WeZhrtq6n6auKFUPbg/JKq3l6s8P8N3+04DGKOuROYOY//7ubl7Z+cHfxVrXeTT1jR0G93t6Xjjys1RjvUKlM1a7c0ogXg6GU6UVdQo+0dq0/2/2ICxMe/9MnwuNiBP1QJaO8OGL3emkFFazN6WY2REebNbOCxB0LRamcnycrHC2McfJ2hxXOwuOZpSxMVbz7x3qYcf9M4O55KO9HT62i60FldpIiYlchr25Kae7dPWCrkZf7cPZ25qcTK3NNafPyvqe1yEiSRJ/ncjhub9iqWpQYmthyttXDMXMRM5F7/ZN4QHw7/2TANgQYzg9Oj3UjQnBrq22f7k7jeyyOjztLbl7mvGoxxe70qioUxDibsvi4QPObdH9FBH56IGYmshZvigSgO/3Z7B4+ADdXZaga2lQqkktquFwRhmb4gr4+WAmidoWSoDEgiru+1n/BMyzaT4U0MxE1iLNYiKTdat5XG8r8OwuahtVbe5joq3/aCoizi3vWTUT5bWN3P/Lcf7320mqGpSM9Hdi/QOTySip4eZv9bec9gWenh+GnaUZarXEXT8eNbjfk/PCW23Lr6jXFaY+NT9MJyz1UVhVz1d70oEz4zEEHUeIjx7KpBBX5kd5opbgm73pXCtyij0aSzN5C2+WUE87csrO3DE7WJt160mqNxV4Xggm6bnzPZsRfo56tzdFOnycNOIjrbi6y9Z1LqjVEr8fyWLGWzv591SeZsbI7EH8eOtYXt0Qz4r1Cd29xPPKbZM09gQv/mvYGv7KUb6Eera2SX9tQwJ1ChUj/Z301oI056NtKdQpVAz1dWRupMe5LbofI8RHD+bZBRFYmZlwOKMMfxcbncW34NwxM5ER5GZDoKsNjtZmHfbvaB7lAPB3tqFY23oJEOxmS1WzYr4BjlZUN7R9V30+EXNpzhCXp78QsTlNtRxnX2AS8quIzq4gyscBuQyySusorOze6Ed8XiVXfLafx/88RWlNI4M8bFl19wQWDfVmxEubWR/duS6t3sLa+yYil8uoaVDy7b4MvfvIZfDwnEGtth89Xcaa4znIZLB8UWSr4XLNySqt5edDmQA8MTfU6L4C4wjx0YPxdrTS9Zl/sjOVmyYMBMRFpCtQqCRSi2pIK66hvFZBUVVDu59rb2lKg1Kt+9nCVI7tWcLQyrxlAZqvkxWlNS1f40J3vyhF9ENHaU1jm/s01ZE667HUX/ThHt7enMQAbfRjd3Jxl66vvZwuqeHh30+w4P3dHDldhrW5Cc/MD2fdA5PJKK5h2ps7qFN0r+g93/i7WOuGws17z3A9y9Pzw/Gwb1n0rVZLvPBPLKAxFItqo7vwnS1JKFQSk4Jd9daNCNqPuJXu4dw2OYA/j2aTrr1I+jhZkV3WtwyBegtyGThZm1Nep0Bqdh2fHeHBv6fydD/7OVu3ECcAkQMcKN7R0uzIxcb8gnos9MW2yvNJUzeEg5VG7HvaW5LfLMLxzd4M3fe/H8li6UifC7a2rNJaPt6Rwh9HslFqVdL8KE+eXRCBvZUZ9/98vJUnjZmJrE+m3/7RFplGZ1eQWVqrd59wL3vdzVtz/jyWzansCmwtTHlsbpjR10nMr2LNcY3nj75BdIKOISIfPRwLUxOWX6wpPv35UCZLRmhOcL1tlkRvx9xUU9NRUtPYorVycoirznq9ictG+rSotpfJNNbtZ7dkmogi0B5FkFtLm/ST2om19laae7T8ynoGD7AHYMmIAS32P5heygv/xOos+c8HarXEjsRCbv32MFPe2M4vh7JQqiWmDnLj73sn8vG1I4nPq2Tw8xtbCI+mlGJfFB6fXDsCe22R6aIP9xjcb8XiwZie1TJdVa/g9Q0aQ7EHZga3mXp9c1MikgTzBnsy1NfxnNfe3xGRj17A1EFuzI30YGNsAQfTSpgc4tptYd7+SqNSTeNZ0YzJIa40KtWcLjlzt+XnbI2lmbxF18TYAGcyS1rfkanVrTYJuhFzA14NmSW12FuaUlmvxNFK42aqUkv89+AUfjxwWlfg+M3eDNYcz2Hx8AFcOdqXUA+7c64JkCSJU9kV/BeTz/rovBZ39pNDXHlwZgijBjpTVNXAjV8fYmdSUYvnD3C06nPW6U1YmMqZF+UFwGN/njK433Xj/Bju59Rq+4fbUiiubiDA1YabJhi3Rj+WWcbmuALkMnhET92IoOMI8dFLWLYwgp1JRRxML+WxuaEcziilXiGuXt2BXKaJbiQVVHNCe3cMmgjHExeFsezvmBb7Lx4+gG0JrUd61zaKNEh3sGT4AFZrw+fNkST9kYFfD2fpvm+KgmyLL0RC4pZJAYwJcGbhB5q77vJaBd/szeCbvRn4OVszPdSNicGuRHjbM8DRqk0xolSpSSmq5tjpco6eLmN/anGL1JydpSmXjfTh+nH+BLrZUq9Q8cmOVF7b0LKTZbifI4WVDX1WeAAcfHomABnFNaw6lq13H2cbc73plPTiGr7eq2mXXbYw3GgkWZIkXtf++y4d4UOwe+tuGUHHEeKjl+DjZM2904J5a3MS3+/P4PbJgXywLaXP5nF7KuMCnfFztmZDTL7OQKyJB2aEsD2xsEUxo7ONOTPCPHjhn9btf02zQQQXFgsz/RGOhPyqFj8/Mz+cV9bHt9iWXVaHt4MluRX1/H08lytG+zJ4gAP3TQ/mw+0pAAx0sSa3vJ7M0lq+239a5y5qb2mKv4sNzjbmONuY6z67jSo1JdUNZJfVkVdR3yo9Z21uwvQwd+YN9mRGmDvW5qao1RKrj2Xz8O8nW72PKYPc2HVWBKSv8d5Vw3C0NkeSJKa9ucPgfssvjtTV7DTnlXVxKFSalNX0UHejr7U7uZgDaaWYm8h5aLaIenQVQnz0Im6fEsifx7I5XVJLTYOKME+7VidMQddiZiLD38UGdzsLzE3lxOdVciCttNV+N00YiJudBe9pB001cffUIDbE5lPbqEImAwM314ILyC/aVsm20Dcw7lR2BR72mtqAz3ensWTEAExN5Dw0K4RD6aUcyiilsl7Jz7ePpaxWwbaEQo5nlpFSWE1lvbJVfZA+rM1NGO7nyAg/J0b4OzE+0EU3AK1eoeKXQ5k8tTq61fOWDB9AXF5lnxceAJcM07iKvr4x0eA+k0NcWTTEq9X2nUlFbIkvxFQuY9nCCKPRKEmSeEP7GteN8xfTqbsQmWQo1thNVFZW4uDgQEVFBfb29t29nB7HtoQCbvn2CKZyGSuXRPH4qlPignYeMDeVY21ugo25KXkVdRga32Eql/HwnEE4W5vz1JroFr+LYHdb/rp3Ios+2EN6cY2IUvUyIrzsqVeqSCuq4bZJAXypdbVszrKFEdyqHaVeUavguq8OEp1TgYWpnOcWRXDNGD9kMhkNShUphdXkV9RTUtNIqbZw2dxEjpmJDAdrM3ydrPF1tsbN1qLV3JGs0lpWHcvm3S3JrdYwP8oTJ2tzfjrYPlHV2zm2bDbONuYUVtUz5pWtBvfb+dg0/F1aFhErVGouencXqUU13DopgGULI4y+1vroPO756Rg25ibsenw6LrYd8wPqb3Tk+i0iH72MGWEezAp3Z0t8IWuO53DDOH9dWFfQdTQVmJYbSY1EDXDguUURrD6Wo6uab8LMRMa7Vw7j10OZpBfXAH2z26AvE5dXyZ1TAvmsKI38ynpeXRLFk2dFHF7SFpveMnEgDtZm/HjrWB749Tg7k4p4Zk0Mvx7K4qFZIUwd5EaktwOR3u2fUp1VWsvOpCK+2pOu+xtqzkWRngS72/Ln0ewWLcB9mVeXROGsjUgZEx6PzB7USngAfL//NKlFNbjYmPPATONDO5UqNW9u0nyub50cKIRHFyPERy/kuYWR7EouZl9qCZcM827lPyA4f5iZyJgQ5Mq1Y/0orm7kgV+Ok3eWV4dMBm9ePhRrcxPdlExB72STdqDjxth8nlkQTrC7LSmFLe3UX/o3jo+3p3DLpAAWDvHim5tG89WedN7dkkR0TgW3fncEV1sL5kZ6MNzPiUhve9zsLHCwMkMuk1HdoKSqXkFGcS0phVUk5Fex+nhOq+6qJq4dq+ne+H5/Risvj77OVWM0Yya+1hOFaiLIzYY7pga22l5S3cC7WzSTqR+dG6q3FqQ5q45lk1ZUg5O1GbdPNt4NI+g4Iu3SS3lncxLvbU3G096SJ+eF8dBvJ0RNQScxN5XjaGWGmYkcGwsTHKzMqG1UYWYix9JMjrONOcHudtiYax47nlnOfzF5rQpOQdMJ88Ilg7EwkfP4KsPtf80xlct0RlGC7uX+GcF8sC1F72P3TAtipL8Tt353BJkMnpoXpndeSriXPWMGOhHgasO+1BL2pZacs8Gbt4Ml90wPxsbChO/3n+Z4Zvk5Ha83cuTZWbjaWlBZr2DI8k0G9/v1jnGMC3Rptf3pNdH8fDCTSG971t43yeispcp6BTPf2klRVQPPLgjntsmtxYygNect7bJy5UpWr15NQkICVlZWTJgwgddee43Q0DNub5Ik8cILL/D5559TVlbG2LFj+eijj4iMjOzcuxHo5e5pQaw+nk1WaR2JBVXMifDQ3aUJOkajUk1hM3t1uQxsLUyxtTDF3FROckE1m2IL2iUQAlxtWPZXTJv7NXH9OH9+OCDSZheSmycObOFO2pz9qSX8e/8kXetscz7ekcrux6dz5ShffjuSxRe70/n6plE88MuJFuIiPq+S+HbMjmmLQR62LIjyZmKwC/F5lfyw/3SLicv9iWULI3DVpj2Gv7jZ4H6XjfTRKzxicyt0hcbPL4psc8jju5uTKarSeIBcP97/HFYuMESHbDJ37tzJvffey4EDB9i8eTNKpZI5c+ZQU3MmH/n666/z9ttv8+GHH3L48GE8PT2ZPXs2VVX980NzvrA0M+G5hRpB9+XuNG6aMLDFVFVB51FLUFmvJLeinoySWkpqGtsdmUgtap2bN4YQHheeb/ZmMCdC/zTSI6fL8DbS0TD59e0M9XUkzNOOoqoGlv0Vy5c3jiLUo6X3w5gAZwYPsG/3/B5nG3MmBbty++QAPrh6OPufmsGT88JIKarmmi8Psuzv2H4rPEBTUwPw94mcVq3ITViZmfD0/PBW2yVJ4oV/4pAkWDjEizEBzkZfKyG/ku/2ZwCaVl0LA+ZzgnPjnNIuRUVFuLu7s3PnTqZMmYIkSXh7e/PQQw/xxBNPANDQ0ICHhwevvfYad955Z5vHFGmX9iNJErd8e5jtiUVMDnFlZpg7y/+JE10VPRRzUzlXjvIVgqMH4O9i3cKZtjme9paMHOjEumbzeozhYGXGq0uiOJ5Vzpe703SdUeMCnZkT4ckQHwdM5DLKahtRqiTdxdPJxhxXW3NcbDTdLQl5lUTnVLAruZgDaSUGaz76G4eenom7vSX1ChVhyzYY3O/1y4ZwxSjfVtv/PZXLfT8fx9JMztZHphltl5UkiSs/O8ChjFLmDfbkk+tGdsl76C9csG6XigpNz7qzs0ZJpqenk5+fz5w5c3T7WFhYMHXqVPbt26dXfDQ0NNDQcCbkXVl57uHK/oJMJuP5RZHsTdnF7uRirhrtx1BfR91MCsH5JdzLnuSCqnZFRfycrXl1aRTXfHHwAqxM0BaGhAdoZrhU1rXscvr+ljHc8PUhvftX1Cm4+6djLB4+gC9vHMXqYzmsj87jQFqpzhPG2tyEIDdb3OwssDSTY24ip7JeSWlNI0VVfduJ9Fx44eJI3LWTaGe9vdPgfmMCnLlcz2C/ukYVK7V1OXdNDWrTp+OvEzkcyijFysyEZ9towxWcG50WH5Ik8fDDDzNp0iQGDx4MQH6+pvLaw6NlSNPDw4PTp/Xf7a1cuZIXXnihs8vo9wx0teGOKYF8uD2FF/+N5d0rh3PdVwcNhiYFXUd78/reDpasXCKER2/i7NlJN3x9iISXLuLxP0+x9mSu3uesOZ6jm3q6ZMQAAlxs2JNSzLHMMmobVe0yGDOGn7O1wamtfZUbtPUWu5OLjE7zfuXSwXrNwt7ZkkROeR0DHK24c0qQ0deqrFfoCojvmxEsDMXOM50ejXrfffdx6tQpfvnll1aPnf1HIEmSQRe5p556ioqKCt1XVlaW3v0Ehrl3ejABrjYUVDbwx9EsbtO2hdlbihqQ7sbV1pzRAc5c+6UQHr2dsGUbePfKYVw3zq/NfVcfy+GtzUkcTC89pxSonYUpYZ6aepL+JjyOLZuNTCZDqVJz/Vf6o04A904PIsSj9byVE9o0GMBLl0ZiZW68dqN5keltorX2vNMp8XH//fezdu1atm/fjo/PmVCXp6cncCYC0kRhYWGraEgTFhYW2Nvbt/gSdAwrcxPevHwIcpnmpBfp7YCvs5XeVlBB1yCXaSaGtnV3VFzdyN8n/t/efYc1dX5xAP9mkDDCDnvvLRsUV124d53VqnXUVm2tWn/a2jrq7B62Wts6aqvVto5aR917IaKIiCJ7bwgr+/7+CEQiAQIEwng/z9PnKcm9yXu9kHvy3vOeo/ybsqb1sFW94FV34WfT+L+J8wensGGML1ZEuje5YqKlwp1MMMzHEl5WBigXiLtlC4Xf54XLi4lN3Hmrwe0cTHWxZGD9YmECsQQr/3oIKQWMC7DGQE/l159aJMm0/TUr+KAoCosXL8aRI0dw8eJFODkpRodOTk6wtLTEuXMvlkIJhUJcuXIFERER6hkxoVSwgwnm16xF/+TfeKyIlC1/bqPPx25PSgFZpdWd+l59bGbrbgN0RY+yyvCKh1mj2zh/cAr+dkY4tKAnHEx15Y+b6bMxv68Tfp8Xjg1jVSst4GdjiCUDXfH2Ky5Y0M8ZAXZGuJNSjDOPc9WyXLczGuNvjd6uXADA+fi8RnPYvpwcIO97U9f3F5/jWV4FuBwW1o5u/FxQFIWPjz2GREphuK8l+rs3fv4J9WjWape3334bBw4cwPHjxxVqexgaGkJHR/YNcNu2bdiyZQv27NkDNzc3bN68GZcvX8bTp0+hr990K2Ky2qXl+CIJRn57DUkFlRgbYA2KAv55mA1nMz0kN3MJKEF0deb6bIX6LnVZGWrXq1yrzOwIR5RWCXH5WYFCKX4Om4kAOyM4cfVgYcCW16gQSSkIRBLklPGRWVKF1MKqbr2EVpmkzSPAoNNQVi2C//qGi4ktGeiK5ZEe9R6Pz+ZhzPbrEEspfD89CCOVNJer62hMJt479BA6WgycX96f5Hq0QnOu380KPhrK29izZw9mz54N4EWRsR9//FGhyFhtUqo6B0/U9yCjFBN+uAEpBWwc54vPzz5ttD8JQaiDM1cPyUr6j3R0qrSf7+vGhas5p8HCZIT63PlgECwMtEFRFJxWn2pwOz8bQxx5OwJaDMXJe7FEinE/3EBcFg/DfCyxY0ZQo11r61YyfX+oBxYNcFXbsXRHzbl+N/u2i7L/agMPQBagrFu3Djk5OeDz+bhy5YrKgQfRegF2RljYX5bV/dW5Z3h/qOybQSN/fwTRaiJp56xJoUr7+WuJhXieX4EHHw/B+jGkUnNb+XFmMCxqltWuPxHf6LZfTQmoF3gAwK5ryYjL4sFQRwsbxvk0GngAJMlUk1q82oXouN4d7AZ3Cw6KKoW4+bwIk0NsQVGAaU0CF0GoW0Zx5819UcW1xEIEbDiHYAdjpG4didXDPTU9pC4lxMEYQ31kCxbissqw92Zqg9uuH+MDV3NOvcef51fg6/OJAICPR3nDXF+70fckSaaaRYKPLojNZOCLSQFg0Gk4+SgHwQ7GcDDVRVGlUNNDI4gOx1i38e6mdY367jocV51EuLMpUreOxJYJfm04su7j4IKeAGSrVJT11anV142LmT3r91qRSCms/OshhGIp+rubYUKQTaPvR5JMNY8EH12Un60hFr0iu/2y9XQC1oz0brOlgQTRmZVUiTAxqH51zMaM+/4GHFedxOm4XGyd4Idji3pjdoRj2wywi7u2coD8Fkq/Ty81uB2HzcTnk/xBV/I5tu9mKu6nl0KPxcDmCX5N3m4hlUw1j1Sh6sIWD3TDuSf5eJLDw1/RGVgy0BVfn0+EHouBSqFE08MjiA7j7/uZWNjfBTuvJDVrv6vPCurljbiY6UGvpsmjQCRFcZWshDpR36ev9oCdiWy58v5bqcjjNfzvtG1iD3lOSF3pRVX47L+nAIDVI7yaXK3C44uw6SSpZKppZOajC2Mx6fhikj+YdBr+e5wHO2NdBNkbkcCD6PIO1UzjN8fOK0lNLstURVJBJWIzyxCbWYaneeUk8GiAqzlH3gguu7QaHx1/3OC2EwJtlJ4biqKw6kgsqkUShDuZYHpY09Vnvz6XiMIKAZxJkqlGkeCji/O2NsA7g2QVADf8G48PRnhBr4kyw0TnYWHA1vQQ2sxwX8sW75uYX9FksTBlTsbmQI/F6NL/rh3Fv0v6AACkUgoRWy82uJ21oTbWNVC07Y+oDNxMKoK2Fh3bJvZQekumLpJk2nGQ4KMbeOsVF/jaGKCsWoQdl5Owrma5IJPkgHR6jU1Td3ZN9eJozJpjcS1OBq0USrr0v2tHcHF5f3ll0jl7oxrd9ovJATDQrp8UnFNWjc0nnwAAVkR6wJGr1+jrvJxk2o8kmWoUCT66AS0GHV9MCoAWg4YLCfkAgBF+lhBLKRg1I9OfINrTkftZCHMyafH+6UVVTa56INrfV1P84WwmWyp76Wk+rjRSa2VBP2f0cjGt9zhFUfjwaBzKBWIE2BlhTu+mb5+QJNOOhQQf3YSHpT6WDnYHILv9smSgGywNtEn1U6JD6+Vc/8Kjqim7bmNuH6dWrfJybuLbNNE8rwbbYnygbGVRhUCMOXsanvXwtNTH8kh3pc8df5CNiwn5YDHo+OzVHk2eY5Jk2vGQ4KMbebOfM/ztjFDOF2Pr6QR8Mdlf00MimmmwV+PdObuajFa2kV/6xwOM9bdu8f61JeMnBNqQC1YrsZiyQKGW79r/Gt3+qykBSnMyCsoFWHdClpz6ziBXuFk03TOMJJl2PCT46EaYDDq+mNQDLCYdV54VIK2oCvNr/hBNSPXTDm/Ha0E4/yRP08NoV0dislTazqmBGYrE/Ao8yS2HPrt1VQWOxGQhq7QafjaGmBBog6E+FmRWpJkefhwpr7+x+khso9t+MMITXlbKe4Os++cxSqtE8LYywJs1rSQaQ5JMOyZS56ObcTXXx4pId2w+lYD1Jx7jz4W9cC2xEAm55fC01EdCLumw2RF9Pz0Ib/1+X9PD6LBSGmlqp87W9I+yyvAoq0z+M5NOg4+NIeg0QCSRgkGno0ogRjlfjKJKAUQSlft2dmm3Vg+UJxCficvBwbsZDW4b7mSCuX2clT53Ji4HJx/lgEGn4dNXeyjt71KXRCrLDSFJph0PCT66oXl9nHEzqQiXnxZg6R8P8Plkf0zddRsJNd8QywViTQ+RqGPRABcsOkACj45ILKXwMKNU08Po0P5+KwJWhrJbVmlFlVj4W8O/y1wOG99OC1Saw5FTVo3VRx4BABb2d4avjWGT7737egqi00qgxyJJph0Nue3SDdHpNHw5OQBWhtpILqzEnhup8kZZQknn7E7aVdFowPeXXlTdVNZQiyA6qnWjvRHsYAwAqBZK0P+zy41u//30QKVVTCVSCu/+8QAlVSL42ryoXdSYxLxyfHZWVvn0o1HeJGengyHBRzdlosfCdzXfME48zAaTQUd/dzMIxFI4mOpqenhEDarOrP3Mng54nl+hucF0cq3N+yCap5ezKWbXLIGlKApeH59pdPs1I70Q3sDqpu8uJuJuSjH0WAx8Ny2oybwNsUSK5X/KGs294mGGKaF2LTsIos2Q4KMbC3E0wcqhHgCAT/6Nx7y+TrAx0kFaURW8G0j2IjRj20Q//H4nTdPD6NTKBWKMUkP5dEI1v80Ll///vH33Gt12VA8rzO2jfBXK7eQifHshEQCwabxfg8nFde24nITYzDIYaDOxdUKPJhvNEe2PBB/d3Py+zhjsZQ6hWIo1x+Lw+SR/sJl0xKsxSY9onR2vBWHr6QRISe5iq/0bm4P3h3qAxSQffW3p0bpIed7G73fS5MUNlXEz52DbROUBQnGlEO/+EQMpJasRMi6w6aJxj7PL8O1FWbCyfqwPLA3r38YhNI/8BXZzdDoNn0/yl8947L+dis3jW1aWmlAvK0NtHH6zF5YcjEEJKQanNp/99xRv9HbCa+FNNyEjmu/q+wOgX1MO/XF2GT48GtfgttpadOycGSzvAlwXRVFY8edD5PEEcDbTw4YG+rvUJRRLsfzwQ4gkFIb6WGBcAKlw21GR4IOAkS4L26cHQotBw6lHuagQiDGrlwMAcp9cU14Lt8dnr/pj8o+3IO6iUx5aDM1Nhe+8koR/HmZj20Q/GJMWA2pzYF447Gtyxnh8EUZ+e73R7b+eEggXM+VJ1LtvpMqqmDLp2D4tCLqspj+Lvr2QiITccpjosbBpvB+53dKBkeCDAAAE2htj1XAvAMDGk/EYE2CNUEdjlAvEsDchCajtxdfGAHtmh4LNZGDGL3c0PZw2Za7fdtPhLmZN5wWU88X439+PEOHKVai8SbTMtol+iHDlApB1qu2x7myj2y/s74JhDXQufpRZhq2nZU3jPhrpBW/rpnPQHmSU4ofLzwEAG8f5gsshnYk7MhJ8EHJv9HbEUB8LiCSyZW1bJvSAuT4b6cVV3XqZWns0/+1ha4idM4LwZj8XzNkbhd03Utr+TTUsq7S6zV47qaBS5YDiZGwO3v8rFqGOxtgw1geOZLVXsy0f4o4poS9uY4349lqj20e4mGJFA31byvkiLD54X37rZEZPhybfny+SYPnhB5BSwBh/a4zwI4nFHR2ZUyfkaDQaPn3VH/E515BRXI1tZxKwY0YQpu66jazSatBp6JZJj3WP2cpQGzllfLW8ro2RDkb2sMIQbws8zChttPgS0Xzv/xWLfxb3xpjtN1TaPiq1BFGpJQCAkX5WMOWwcCwmCzw+KbrXmCkhdlhSp+7GN+cTG62UbGmgjW+nBYKppDopRVFYcywOaUWyLzyfTvRX6dbJ5/89RVJBJcz02SrlhhCaR6MoqkNdTng8HgwNDVFWVgYDA7LcUxMeZZZh4o6bEEqkWDPSC9paDKw5Ftdtg4+GcNhM+NkYokIgRmGFAEWVQgjF9Yu0Meg0WBtpw85YFw6mugiwMwKXw0ZsZhm+qVlCSLSdi8v7Y+AXV1r1Gv52RpBIpcgsqSadoOsIdzLBHwt6ygOEm0mFmP5T47cLj74dgUB7Y6XPHb6XgZV/xYJBp+Hwmz0R7GDS5BjuphRjyq5boChg9+wQDPTsXs0XO5LmXL9J8EEo9eutVHx8/DGYdBoOL+yFP+6m4/C9TBjpapEPXxVwOWxwOSxoMejg8UVIK2pdd9buTl+bCaFYCoGS4E4V26cH4uzjPPzzMFvNI+u+zPTZuLN6EOg19yVTCisx4PPLje6zcZxvg7dRnueXY/R3N1AtkuD9oR5YNMC1yTFUCsQY/s01pBdXYXKILT59lXTq1qTmXL9Jzgeh1MyeDhjpZwWxlMKSAzFYHukBf1tDlFaJGuw2SbxQWCFAQm45HmWVkcBDDcr5YoxXocZDQxYfiEGlQIwDdQpfEa1zc9VAeeBRWCFoMvCYGGTb4PJmvkiCxQdiUC2SoI8rF2+p0K0WALaeTkB6cRWsDbVJ75ZOhgQfhFI0Gg1bJ/rB0VQXWaWyhk4/zAiGqR4LT3J4GOxlrukhEt1MQbkAAz1b/nt3ISEf03++g2+nBWKAB+lu2hoJnwyTd5StFIgRsvF8o9t7Wxlg03jfBvM3Np18goTccnA5LHw5xV8e1DTmemIh9t+WVf399FV/GGiTJdOdCQk+iAbpa2vh+9eCwGLScTEhH4fupuO76bJ+MOef5GO0v7Wmh0h0IxcS8vH+UA9YKmk81hzvHIxBTEYpVg/3hJk+WY7ZXLHrIqGtJeutIhRL4bP2v0a353LY+HFmsHyfl52Jy5EHEV9MDlBpCTaPL8LKvx4CkM3S9nHjNucQiA6ABB9Eo3ysDbFpnC8A4NuLz5HPE8g74J5+lIMQB+WJYwTRFt76LRo7ZgS1+nVKq0TYcjoBRRUCvN7LAe4WnbdbMLM91oLXiPpwsHyGQSql4L7mdKPba2vRsWd2KOwaqBWUWVKFlX/FApDV/ejvrtqM1Ccn4pFdxoeDqS5W1XweEZ0LCT6IJk0KscPCmnuwK/+KRYCdEcb4W0MspfAsr+EldQQBAIY66psOTy2qAoNOw7aJ6mkBIKWAX2+l4VleBQLsjBDm1PTqio5CX1tWKaG9KuBeWzlAPlNEURT6fXapyX1+eC0IfraGSp8TiqV452AMeHwxAuyMsLyBuh8vu/AkD39GZ4JGAz6f5K+0NDvR8ZHgg1DJyqEeGOpjAaFEigX7o7FkoCuCHYzB44thTRo3dSjmHexWQqC9kVpfb8z2G5gYZIt36tSWUIcHGaW4m1Is/5lBp0GngVsFmqajxUB5O9YfOfdeP4XZizf2RiGzpPEicZvG+za47JWiKHx0LA7300uhr83Ed9MC5TkkjSmpFGLVkUcAgHl9nBDq2HmCRUIRCT4IldDpNHw1JQC+NgYorhTi7d/v46vJAXA200N2GR+elvqaHiIBIMzRBPnlAk0PQ0GAnZHaX3PcDzfw3mA3jAtou7wjiZRCtUjSZq/fErWVhttzXJdWvAI3ixd/3xtOxOPS04JG93nrFRe8Ft5wZdI9N1Jx6F4G6DTgu2mBDd6Wednafx6joFwAFzM9LI/0UO0AiA6JBB+EynRZTPz8eigsDNhIzK/Ah8ceYfesUHA5bCTkliO8E01Zd0UeFvq4m1rc9IbtzMda+bR7a8Rl8bD3Ziq+nByASO+uX1TK2lAbLAa9TUvSK3Nt5QA4cV/0ydlzI6XJ0v9j/K3xfiOBwdVnBdh4Mh4A8MEIL7ziodoKplOPcvDPw2ww6DR8MTmgwQRWonMgwQfRLJaG2vhlVih0tBi4lliIX66nYO+cUOixGLiTUtyqpZBEywzyNAeHzcTTDpp/w2bS2yQpcv2JeJx7kocfZwZjUBf9vWPQaehha4jsMj6EkpYVWGup26sHKcxInInLxfoT8Y3uE+5kgs8m9WhwqWxyQQUWH7gPKQVMCrbF3D5OKo0ls6QKHxyV3W55q79Lm8ymEe2LBB9Es/naGOLrqQGg0YD9t9NwL7UYP8wIBpNOw8WE/G7xTbSjmNPbERcS8lEh6Lj9R/giCYa3UaOvN/dH48qzAvwyO1SeFN1VBNgZQSKlEJtZ1u7vHfXhYFjWyeWKTivBwt+iG93HxUwPu2aGgM1UPiNRVi3CvH33wOOLEexgjI2N1P2oSyiWYtGBGJRWidDD1lDtuT6EZpDgg2iRoT6WWDVMtsRtw7/xkEopbJkgW4FwNj4PI0lXyTbF5bAQYGeEPTdSNT2UJvHF0jadmZi9JwrHH2Rh1XBPfDctsM3ep70M85G1mX+QUaqR97//0RCF+iexmaWYuONmo/twOWzsnRMGQ13lK5vEEimWHIxBcmElrA21sXNGcINByss2n3qChxmlMNTRwvfTZXWHiM6PnEWixRb0c8aUEDtIKWDJwRj42RrK22SfisvBEDID0ib6unFRWCHU2MWpufgiCSJcTdv0Pd794wF+vJKEUT2scPfDQW36Xm3BzkRHXnr8zONcjY3j4dpImOix5D/fTy9psiswi0nH7tkhjSaNbjmdgKvPCqCjxcBPs0JULu52MjYHe2+mAgC+nOyvcmIq0fGR4INoMRqNhk/G+aKXsykqBGLM3XsPU0LtMT3cHhQlSyzrSyoPqk1QzZLVa4mFmh1IM1UKxCpVrWytLacTsPC3aGhrMZCyZQSmhtq1+Xu21mAvC4z2t0ZGcTV+v5Ou0bHErR+qUJPlbkoxJvzQ+IwHAOx4LQg9bI0afP5wVAZ+uS5LUv1ysr/KCchJBRXyKqZvveKCQV7ky0xXQoIPolVYTDp2zAiCE1cPWaXVWLD/Hj4c4YXBXuYQiKWIzSxDMKmC2mIcNhNcjuyb6P30Us0OpoVKVOiCzFKhxoMq/nuchxHfXMOVZwXYOrEH7n80RC2vq24fj/JGpLcFzj/Jw4kO0Gn3yYZh4NQp1nUzqRCTf7zV5H4bx/k2GhREpRbjw2OyRNGlg91Uzv2pFkrw9m/3USmUINzJBMuHqFaAjOg8SPBBtJqRLgu7Z4fCUEcLMemlWHXkEb6dFogAOyOUVYuQW8aHc53lekTjWHVWh1QIxCisEGp4RK1TViUb/4J+zg1uI6XUV6Uzs6Qas/dE4Z2Dsi6pqVtH4ur7A9T2+i21fIg73hvsDi8rA2z4Nx5n4/M0PSR4WOgj4ZNh0GG9yL+4+qwA03+60+S+iwa4YEbPhmt5ZJZUYeH+aIgkFEb4WeKdgaonin50PA5P88rB5bDx3bRAMNUUnBIdBzmjhFo4cfWws2bFy4mH2fju4nP8MitE3hVXW4vRYatFdjRCsbTdSma3h9qZj8aCD7GUgreVgVrf95+H2Rjw2WV8fDwOWkwaUreOxIOPh6i8vLO1zPXZ2DkjGJ+92gP93c3wxbln+Or8MzzJ4bXL+zdlZk8HnFnaV6FexsWEPLy++26T+87v64QVjdTyqBSIMf/XaBRVCuFtZYDPJ6nWqRaQ3ab5KzoTdBrw7bQAmLeykSDRMdEoSo1fOdSAx+PB0NAQZWVlMDBQ74cR0fYO38uQN4paOcwDI/2sMHHHTRRWCBFob4SYTnrrgGi5MEcTHF7YCwDguOpkg9sZaDPBa6OS4Qw6DYM8zTE1zA793c3BoNOQVVqN/+JyseHfxmtXqCrEwRjz+jrBSJeF+GwerjwrwJ2UIvBF7VufQxXbJvphSqi9wmNn4nKbXE4LyJZ3fzzKu8FlslIphbd/v48zj3PB5bBxfHFveWXWpsRn8zD+hxsQiKV4f6gHFg1wVWk/omNozvWbdOQh1GpyiB1KKoXYcjoBn555Cg6bib1zwvDaz3cQk16KIHujTpu70J1oa9HVdtFUteoqjy9GpLdFm9yOkEgpnI3Pw9n4PBjraqGvmxn6u5thqK8l5vR2BI1GQ7VQguTCCiQVVCKfx0dSQSVSCitQWiWCthYDBjpacDDRhRNXDzbGOrAz1oUph4WM4io8zuYhLqsMn/z7pN2rkDbXoQU9Ee6suProxMNsLDkY0+S+M3s6NBp4AMDXFxJx5nEuWAw6fpwZrHLgweOL8Pbv0RCIpRjgYYa3uljdFkIRmfkg2sSXZ5/i24vPAcg6T3pa6mP6T7flBYai00o0PEKiPaVuHQkA+PlaMjaefNLgdrosBsKcTHC5id4h6mSgzYSnlQHczDkw02fDVI8FEz02dFh0iCUUpBQFiVRWJCuPx0d+OR+5ZXykFVUhpagSHesTtHGXVryiUC4dAI7cz8Syww+b3HdamB02jfNr9PbJydgcLDpwH4Ds7/7VYFuVxkVRstmS03G5sDHSwb9L+sC4zpJfonMgMx+Exr03xB3lAjH23EjFyr8eYvv0IPw+ryde+/k2otNKSACiIREupriZVNTu71stlECHxcAQb4tGg48qoQT62soLVbUVHl+MuynFCh1tu6KYj4bUu6Dvv5WKj44/bnLfScG2TQYed5KLsOzwAwCynBBVAw9A1mjudFwutBg0bJ8eSAKPboAknBJtgkaj4eNR3vIiZO/+EYPCCgF+mxcOA20motNKEEKW4LarJQNdVQo8ejqrv0FgTpnsVoSDadOrnk48zMaakV5qH0N35WtjgKcbh9W7oK859kilwGNCoA22Tmy4XwsAxGWVYd6+exCIpRjsZYFVw1U/f9FpJdh8ShaQfjDCC4H25HOhOyDBB9FmaDQaNk/ww2h/a4gkFBb+Fo1KgQS/zQuHvjYT99JKEOpIPmjaw6ev9sB3NbfBmpJbxm/VezmY1q9CmVPnNccH2jS4r52JLD/gwN10LCbJhkrps1WfsH6znzNOLO6jUMpcKqUw8ttr+O12/aJmL69IG+Nvjc8m+YPRSOCRUliJ2XvuolwgRpiTCbZPD2x0+7qKK4VYfOA+xFIKI/2sMDvCUbUDIzo9EnwQbYpBp+HLyf7yomPz9kVBIqXw21xZABKVWoIwRxOyDLcN7ZoZLF+B1JQIF1OkFlW16v3czPXrPfYo60VztOnh9vWer5VRXA0zfTaSCypRzhch3En9szCdzcu9TMpVbCL4+7xwrB7hpZAcyhdJ4PzBKTzOrr/cV1uLjmqRRP7zSD8rfDm58cAjp6waM36+g8IKIXysDfDzrBCVW91LpRSWHnqAnDI+nLh62DrRT6VGc0TXQIIPos1pMejYPj0IES6mqBRKMHtPFFhMOvbPDYc+m4m7qcXwszWEj3XbJRhra3W/X/VpYXbYPN4PC/Y3vXyylrtF/cChubyt6r9G3SqeQU1Mqw+uqZi571YaXuvpgO56Paq96AvF0mb//t79YBB6uyq2NiiuFMLzozNKt2cxFVc3DfWxwNdTAxot7lVSKcTrv9xFVmk1nLl62PdGGAyaka/z/aXnuPqsAGwmHT+8FtTuuT6EZnW/T2RCI7S1GPjp9RAE2cuqns785Q4MtJn4dW6YLABJKYYem4kRfpYK+6k6fdsUvkiqthLencG/S/qgrFqED44+UnmfCUE28iZereFhWT+IrPtNm0GnYahPwyW5D95Nx6xessqZHxx5hD/m92z1mDojiZQCu2bWQ9Vlz9PC7PF80/B6hbme55cj6JNzSvfRYtAgFL94/cFe5vhuWhC0Gvl7qRCIMXtvFBLzK2BlqI1f54aBy1GtWRwA3HheiK/OPwMAfDLOF15qLjBHdHzd59OY0Dg9NhN75oTB28oAhRVCzPj5Dsz02dg3NwycmgCkqEKI+X1fVKCUqLHSp1Ai+4BtbUtufe2Ou0hsRaQ7zi/rh1HfXcepR8q7oxoraXuur81UW4VRW+Om6zos6Nd4DYfCCiHCnUxQIRBj2eGHOPVOX7WMrSNj0GkKMxzuFhwIxKrXWtkzJxRbJvjVm624/DQfg7+82uB7iiQv/sbG+Fvjh9eCG/0bEYglWLg/Gg8zSmGsq4X9c8Nga6x6t9k8Hh/v/hEDKQVMDrHF5JCO3wCQUD8SfBDtylBH9mHlYqaH7DI+Xvv5DmyMdPBrTQByJ6UY0WkleH9ow6WbW0vYjA90ZcprqnC6mnNg0EECkdkRjohdF4mneRUNXmgAwEyfrbTR2/oxPo0ugW2Ohu758/gv3re2Q29DTj7Kwfy+zvLy/O/8EYMLy/s3K9mys9BlMWCmz4ZESoEvksLVnAMAeJZXofJr3Fw1EAM8zOs9/vO1ZMzeE9XgfnWD+zm9HfH1lIBGAw+JlMJ7hx7g+vNC6LIY2DsnDK5KcnwaUi2UYP6v91BYIYSnpT42jPVVeV+iayHBB9HuTDls/DYvHLbGOkgrqsKknbdgxmHX3DNm4n56KY7cz8SXk/3bfCyqVl9U5nl+hbwc+BBvC/jbGalpVKrbOSMIMR8NAZ1GQ491ZxvtkOpspoeCckG9x8f4W+PKM/UV9WooefjCkxeVS2k0GjaP92v0deb9eg/fTguElaE2nudXYOH+aJxY0gfDfS0b3a+zYDPp4HJYqBJKUFAuAJfDgh6Lgef5qgcdU0LskLhpOKxf+j2mKAoL90erHFCuHOaBj0d5N7qclqIofHj0EU49klUv/en1kGb9zssSTGMQm1kGY10t7JwRrHJyKtH1kOCD0AgrQx0cnN8T9ia6SC+uwqs7b8JAm4m/3oqAlaE2kgoqsfV0An5+PaRNx5FVWg0Wgw4jJbcimuNcfB4eZpQCAHrYGmL5EHcM8qz/TbS1uBw2vp4SgOebhuPAvHBsOvUEgZ+cw+4bKfW2rTtLEOpojOSCynrbeFrqY0E/Zxx/oL627g11qP3xSrLCzxOCGl5yW2vM9hvYPzcclgbaSMyvwOQfb2HRAFd8MzVAHUPViEB7I3A5bAjEUhRWCGGmz4a/rSEKK4SoFEqafoEafy3shW2v9qiXm1FWLYLT6lM487j+bbeXE1fpNNky7LdfcW1ypcm2M0/xR1SGvOHbywmtTdl6JgH/Pc4Di0HHrtdD4Eg6XXdrpLw6oVH5PD5m/HIHz/IqYKyrhX1vhMFMn43Zu6PwNK8cHDYTX00JwPxf7ynsZ2eig4xi9fbQ8LDQR1JBhdo7yjpz9bB4oCsMtLWQUVKFuynFiM/hIa2RJa1GulrwtjJAb1cuBnmZw8NCH6lFVbibUoR1/8QrLIlUti+vWgQpBeixGAhxNFE6s2Gix8KRtyLwyueX1XGYcmff64fIr5Tf+qkts17rxytJ2HI6odHXM9bVwoklffDG3ig8y6sAm0nHR6O8McDTHHP23G3W7QlNGuxljpj0UhRVCgEAFgZsBNgZ4b/HzetlMznEFuvH+EKHVX/WIDqtBBN33FS6X22gX4vNpOP76UEY7N1w8m+tuudJWVO6pvx+Jw0fHo0DAHwzNQBjA5oOPInOpznXbxJ8EBpXUinE7L1ReJhRCg6biZ9nhcDLygDzf72HuynF0GLQ8Pkkf7z7xwOF/dqqS66/rSFis8rapWeHqzkHfjaGcDDVhY4WAxQAXrUIuTw+olKLmxVgGWgzwRdL5TktoY7GKK0SIVHJNL6BNhMHF/TEzF/uorjmYqguJxb3wdRdt5R+i0/ZMkLhG3aVUAzvj/9r8jVtjHRw6p2+ePdQjLzvyxBvC6wf44OEXB7e2HuviVfQjL5uXAjEUkSlFst/n6wNtRHoYIyTsTnNfr2/34pAcAOVgT/7LwHfX0pS+pwTVw8phS9mvgx1tLB7dgiCHZquo3IoKh3/+1u2amr1cE+82cyGb1eeFeCNvbL6PsuGuOOdQW7N2p/oPEjwQXQ6FQIx5u2Lwu3kYrCZdOyYEYQIFy6WH36Ik49kH9JrRnrVu4fdlm3YB3uZ42JCPtQ8EaJ2RrpaqOCL5TM27hYcuJhxcDpO+WoXI10t7JsThiP3M7HvVprax/P3W72w+3qq/LzV9e20QIzxt1Z47K/oTKz4s+nGZgCQ8Mkw7L+Vhk//S4BIQkFHi4HFA10xO8IRN5OK6s2QacLUUDuwmHRceJKv0OG2rxsXBjpaLQo6pofb4+NR3kpzJPgiCcI3X0BZdf1EYkB2q66w4kWuj6WBbGmsKjVdjj/IwnuHHkBKAQv7u2DVcM9mjTshl4dXd9xChUCMCUE2+GKSPykk1oWR4IPolPgiCRYfuI/zT/LBpNPw5ZQAjPKzwoZ/4+X1J+b1cUKVSIIDd+qXhm4ro/2tcfpRjtpvx7SGPpsJgVgqXz4MyHJNHEz1Gk06tTPRwd45YTj7OA/bzjR+u6OlDswLx/30Enx+9lm954x0tfDg40iFx6RSCq98flnhlkBjrq0cgAqBGB8fj0NUqqw5oYkeC3P7OGFGuAMKKvjYezNVafnwtuBpqY+BnuYorRbhVlKRwgyDka4WJgbZIreMrzQYU8XRtyMa7HeSXFCBgV9cUfqcvYku8nh8heW6ruYc7HsjTKVE68NRGfjfkVhQ1IuCdc0JHPJ5fIz/4SaySqsR7mSCX+eGKZR5J7oeEnwQnZZIIsWKPx/i+INs0GjApnF+mBZmh11Xk+X3nEf7W2NcgDXm7lP8lhvmZNKmnUnHBljj4pN8lctbqwuNBjBfqsdQy8pQG742hmDSaQ3OdNTq526GLyf747fbafj6fGJbDRd7ZoeiuFKI5Q3MZryc9wHIVg4N/lL5RRSQ/RvU/aR6f6gH3n7FBUdjsvD1+UR54MJi0hHpbYFXg23Ry8UUGcXVuPw0H99feq50iXFLjPG3hp+NIShQeJZXgVtJRQozHCwmHf3dzeBjbYDDURnIbmGvnHWjvTGjp0ODVUbr5lG8zMvKAE9yFEuoB9obYfesUJU6xv56KxUf1zSdm9HTHhvG+Da6EuZlVUIxpu66jdjMMjhz9XDk7QgY6ZJOtV0dCT6ITk0qpfDR8Tj8XjO7UXuf+WhMJt7/MxZiKYVezqbYPMEPA15Klhztb93oN391WNjfBbeSi+SrW9qTjZEOHEx1waDToMWg42JCfpP7sJh0LB/ijvl9nTFz9x3ceN50Z9vW2DkjGGb67AYTH0++0wc+1ob1Ht9zIwXrT8Q3+Lr+dkb1/s3/W9oPLmZ6+OdhNnZdTUZCbrn8OR0tBno6m6C3Kxc+1obwtNQHg0FDYl4FCsr5KKgQIru0GunFVZBKKUgpChIpYKDDhIsZB1aG2jDS1YJAJIVYSiG9uArP8soRlVJcL6DQ1qJjgIc5Bnqa42FmaatmXV4NtsWakV4NXqwrBWJEfnVVIeCpy82cUy/P59VgW2wc56vS0tZdV5Ow+ZQs0J/bxwlrRno1a8ZDIqXw9u/R+O9xHox1tXD07d5kZUs30abBx9WrV/HZZ58hOjoaOTk5OHr0KMaNGyd/nqIorF+/Hrt27UJJSQnCw8Px/fffw8fHR+2DJ7ouiqLw6X9PseOyLIFu0QAXrIj0wPXnhVi4PxqVQgkcTHWxc0Ywhn9zTWFfLYbyWQJ1m9HTHlIKOB6T1awlki9j0mnQZcmSTQ20taCtRZcXfzLU0QKNRkM5X4TsUn6jq1yUGeBhhnVjfGCky4L/+rMtHmNzfDM1AP3dzRCwQXk5by6HjXtrBtd7nKJknY8bW/3Ry9kUt5LrB0/nl/WHi5keHmfz8Oe9DJyKy1Va08Rcnw0rQ21wOWyYcljgsLUUesdUCsQoqhSiqEKA4kohcsr4SquMMuk0+NkaItzJFP62hriXVoJfrtdf7twc1jVlyhsr2nXhSV69Gb9adBpgYaCt0EGYQafh41HeeL2XQ5MBBEVR+PbCc3nZ88UDXLE80r3ZORqbTsbjp2spYDHo+H1+OEIdSXPA7qJNg4/Tp0/jxo0bCAoKwsSJE+sFH9u2bcOmTZuwd+9euLu7Y+PGjbh69SqePn0Kff2mE5xI8EHU9cPl5/j0zFMAsvvOG8b64lleOd7cH43MkmroaDGw7dUe+OVaMh5mlins2x6zILXWjfZGbGYZzj3Jk1dA1aSeziZYMtANES6m2HMjFRv+bXhGQV10tBioFknw6cQemBxqB8dVJxvcNmnzCKV9eyoFYoz+7jqSC+vXJKlrsJc5zj+pP+uzargn5vR2BItBR0JuOa4lFiAqtQQJubwWL81mM+lwNefAzZwDV3MO/O2MwGLQsf3Sc1xLLGzRa75sz5xQpRVKa/FFEoz7/obCzE5d/dzNEJ1arBAEm+ix8P30IPRyMW3y/V8O9ldEumPxwOavSvntdhrWHCNLarurdrvtQqPRFIIPiqJgbW2NpUuX4n//+x8AQCAQwMLCAtu2bcObb76p1sET3cP+22n4+HgcKEp2Ud3xWjAA4J0/YuQf/vP6OKG3Kxdz9iqWkn53kBu+udB2+Q0vG+ZjidH+1rj+vBBXnxU0ODXeFnRZDIz0s8LUMDsEO5ggOq0YE3fcarf397DQx9O8cmwY64PXezli8o+3GszB+XiUN97o46T0ucIKAQZ8frnJIM7fzghsBh13U5W/x/hAG8zt4wRvKwPQ6bLZo6SCShSUC1BYIUBRhUDhYk1Rsn9DEz0WuBwWTPTYsDBgg8Nm4lRcLv64m660FX1rfDctECP8rBptoHjzeSGm/3ynwedH9bDCvy+toPGxNsCu10NUSiylKArrT7xI6l4z0gvz+jqrdgB1kCW1hMaCj+TkZLi4uOD+/fsIDAyUbzd27FgYGRlh37599V5DIBBAIHgxPcrj8WBnZ0eCD0LBhSd5eOdgjPx2yy+zQuDE5eDzsy++rfV0NsGXkwMQsfWiwr4meiwY6mgprEJoDz7WBvhwpBfyeQLcSSlGVGpxs0pnq8Jcn42+bmbo587FYC8L6Ggx8O+jHLxzMEat76PMy8uch3hb4Fx8Hj4Y4YkF/Vyw4US80sqrtZQlntbK4/Ex+rvryFdy6+RlgfZGsDbSUWkJq4keCz7WBrA30YWhjhbYTAboNNlS76zSamQUVyExvwJVrbiNpoqdM4IQ6W3ZaBKnUCzF9J9u415aidLn/W0NIZZS9QKi8YE22DLBT6X8DomUwppjj3DwbgYAYOM4X8zo6dCMI5EhS2oJoHnBh1q7NOXmyrLtLSwUK+ZZWFggLU15PYEtW7Zg/fr16hwG0QUN8rLA329HYN6+e0grqsL4729i+2tB+N8wT/SwMcSKPx/idnIxJu64ieOLeuO9Qw/kU/fFlUIUVwqxcZyvfEq4PTzO5mH6Ty++sU4Ls8M3UwMglQLPC8rxPL8CSfmVyC/no6RKhKIKgdKaJSyGrAcIV58Nc31teFrqw9NKH56WBnAx04OUAm4nF8F//Vm1LwdubAVR3bHqaDHA5cgSJGvbv/ewfZFUWjsrUteJh9kY/VLNj1oWBto4s7Qf5uy5W+922sti0kvlxeamhdkjo7gK158rvx1SXClU262S5mIx6djxWhAGepo3eWG+/DS/0YZwEwJtcOZxrkKQRKcBH4zwwtw+Tipd+MUSKd7/KxZHY7Jqyqz749VgW9UPqEY+j4839kShQiBGT2cTbJ3QgwQeRJPapEXky794FEU1+Mu4evVqLFu2TP5z7cwHQbzM09IAxxf1xsLfohGVWoI5e+7io1HemB3hCDcLDhbsj0ZyQSUm/XgLG8f6ws5EF9N+ui3ff82xOIwPtMGxB1ntUr30ZQfvZsi/YdYa4GGGeX2dEWRvDNOai7dIIgUNNHkiJJtJl//9VAjEyC3j43piAcb/faNNl/2GOSoGHp+M9cFHNcsvX2ZuwJbXcODXJMX61Qk+Xg48AGDJwZgGgw9ANkvx58IIrD/xWL7yqSkH777YzsZIB/3cuUgtrMKjrDJUtPMS6VqDvcyxoJ8LQh2Nm7wo55bx0WvrhQZ/P1kMOsKdTXAkJkvhcSNdLWyfFoQ+bqr1WxGKpXj3jxicjssFg07D11MCGj0XDakSijHv13vILuPDmauHnTOCG+2KSxC11Bp8WFrKuk3m5ubCyspK/nh+fn692ZBabDYbbDZbncMgurDajrhrjsbhz+hMrD8Rj2d5Fdgw1gfHF/XGssMPcS4+Dyv/jsX0cHs8Xj8UPmtflO8+WvOhvWm8r9IaCSZ6LLWXG2/MpacFuPRUfR1l1SnIwVghn6Ju4DE7whF7b6aCzaRDIJbCXJ8tn+avnflwMtWDoY6WvPKmslmUw/cyMDmk4S8bLCYdm8b7oZ+7Gd7cH92s8WeVVtcL9trTquGemBRsC1NO059vArEEK/6MbTRBenygDW4nF9WbuQl1NMaXkwNgZ6Kr0riqhbJifhcS8mWJs9MDEenT/E7BArEEb/12H7GZZTDRY2HPnFBSy4NQmVpDVCcnJ1haWuLcuRdL7IRCIa5cuYKIiAh1vhXRjbGZDHz6ag98MMITNJrs2+7rv9yFWELhxxnBWBHpDhoNOHAnHRN33MTpd/tifl/F5MYPj8ZhdoRjvc6ztYFHM+opdUpajBcHqOzL+Gev9sDOKy/6hGyd4KfwfG3+TG1Co7m+trxjqkAsm/mg02no5fxipYWZfv2L8Mq/YlGtQn7FUB9LxHw0BDNbkI/QnoZ4W+DXN8KQvHkEFvZ3USnwOBqTCY81ZxoMPOxNdDE5xBbHHmTVW0a7ItIdfyzopXLgkc/jY8quW7iQkA82k45drwe3KPAQSaRYciAGV54VQFuLjp9eD4aDKanlQaiu2cFHRUUFHjx4gAcPHgAAUlJS8ODBA6Snp4NGo2Hp0qXYvHkzjh49iri4OMyePRu6urqYPn26usdOdGM0Gg0L+rng59dDoMdi4FZyEcb9cAPJhRVYPNANe2aHgsthISG3HGO334CZPhsPPh6i8Bp7b6biQkI+DswPr/f6HaiSulrRaACHzZQfH4fNrDfFP7ePE/bcSFV4rO43WjdzDh7UFPsyN5BdXC0MtOvNfABA7zq3AS4+ycfsCMd6Yxqz/bpKYzfWY+GTcb64uLw/xgU0/xZBWxnZwwo/vR6ChE+G4afXQ9DP3UylaqBPc8vhuOok3jvUcF+bFZHuMNBh4vC9TIXz5Giqi7/fisDigW6NrpSpKyGXh3Hf30BsZhmMdbXw27xwvNLI8t6GSKQUlh1+iLPxeWAx6fj59VCVGtQRRF3Nvu1y7949DBgwQP5zbb7GrFmzsHfvXqxcuRLV1dV4++235UXGzp49q1KND4JoLmWJqNte7YERflY4s7QfVv39COef5GHzqQRcTMjH9f8NwPaLz/FH1Ivp+Ok/3cEwH0uEOpngEyX1MCwNtJHLa1mJ7I7ESFcLFAX5bRAzfXa9Qlwj/awQYGekUDDrjwU9MXXXi9yZzRP8MGnnLehrM6HLkn2EOHJ1Ia2JaPjiFzMZfVxfBB/VIgnslXxDT8yvwF/RmSonOzqbcfD11ECsHuGF326n4cCddHmb+vbAYTMxOcQOfd24iHA1bXa/kqSCCgz7+mqjhfAGeprDylAbX557Vi8QnhJih49He0OPrfrH9+Wn+Vh8IAYVAjGcuXrYPTu0RVVHpVIKK/+S3R7SYtCwc4bqeSYEURcpr050CUUVArz12315jsJr4fb4aJQ32Ew6DkVlYMO/8agSSqDPZmLDOB8M87GC18dn6r3Ontmh2H0jRemKCD8bQzzKanzlRUfE5bBAUUBptQgSKQUWkw4DbSYKKxQv2IO9LLB6hCcG1WlUNiHQBksGuSmUsV82xB1fnnuGYT6WSCqoQGJ+BX59IwzZpdVYdeQRBnuZ4+dZoQBkyeaRX12Vl/v2tzXEQE8LeRXNuv5b2g8els3/kkJRFB5lleFMXC5uJRfJV76oi4eFPiJcTdHT2RThTiYtzmtILazEyG+vNVkNd+UwD+y/laZwiwWQBY9bJ/hhmK9VA3sqt/92GtYej4O0pk7OzhnBLToGiqKw5pis7QGDTsP2aYEY7te8sRBdm8aW2hKEpphy2Ph9fji+PPcMOy4n4fc76YhOK8H26YGYGmaPns6meO/wA8Skl+K9Qw9x3i8fDz4egt/vpOOz/57KX6e2SNnJd/pgycEYJBe8qA1SG3iEOBijQiBusNpkR8BhM6GtRQdFAUWVQvmUfW0A9XLgMS7AGmtH+yDwE8WS6J+M81VI2L25aqC8hkhvNy4uPpVVGXXi6snzZeredqHRaBjjb40vzsmCjYeZZVg13EvpmId+fRU3Vg1UqTBWXTQaDT1sjdDD1qjm/SWIyypDckElkgsrkVJYgeJKIbJL+UqLvnHYTHha6sPaSAfm+mxYGmrD1ZwDT0sDWBiwW71sNKO4CqO3X0dpE43tFg1wwbO8CnlF37r6uHLx+SR/WBpqq/y+EimFzaeeyGexJgbZYssEvxatRqEoChtPPsHvd9JBowFfTvYngQfRKiT4ILoMLQYd/xvmiV7Oplh2+AEScssx+rsbWD/WB5OCbfHnm72w43ISvrmQiJOPcnAvrRhbJ/RA0uYRcPnglMJrjfz2OtzMOTi+qDcm7ripUD+jtuiTj7UBnM047VbCvTE0GqDHYoLJoEEsoSCSSBWWloY6GiMqtUTpzM2q4Z54LdwefusUe7+ceqcvol8qcEWjAdHpssc8LfUhFEvBYtBhbaSDx9my1+a/1H9mVJ3gAwC+u5iIY4t6Y9z3N+qNpffWi7j6/gDYm6qWQKmMthYDIY4mCNFgTxGKonA3pRhT6tyuasisXg4wN9DGD5ee15sV0WczsXKYB14Ld2hWV9lKgRjv/vEA55/I+uTUdgFuaSD1xdln8iBm24QepGw60WpkQTbR5fRzN8Opd/uijysX1SIJVv4Vi/cOPQBfLMWSQW448nYEnM30kMcTYM7eKCw+cB+3Vg/Euff6KbxOYn4Fxn5/A+8P9cCBefWTUh9n83DiYTZsjHSUJlK2BwadBm0tOmiQ1QAprRKhQiCGQCyFjZEOwpxkF+Co1PpVMm2MdHBoQU+M9reuF3jsmhkMb2sDvL77rvyxqA8H48TDbFCUrAZIbXBjX9Nltzb/4+V6Gk5cPYQ4GMt/vplUBIFIgtd7KV+50u+zS4hOU17YrKMTiCX48UoSnFafajLw6O9uhi8n++NOSjE+++9pvcBjtL81Lizvj5m9HJsVeOTx+Jj84y2cfyJLCP1uWiAWDXBtceCx/WIitl96DgDYMNYHk0NJHSai9UjwQXRJ5vra+PWNMLw/1AMMOg3HHmRj1LfXEJdVhh62Rji5pC/m9XECg07D6bhcDPriCi4/LUDipuH4YISnwmttOZ2A6T/fwY7XgrB7dgh0XipbnVVaLe+LMae3Y7suB5VIKfBFUkgp2e0DfzsjeNbkTWSVVjdYnXRBP2ecfa8fiiqF6P1SOfrPJ/kj0scSQS/dguFyWDgWI5vlGRtojcc1syg+1rJ7u4Y6WgCgtCfLvJeWOm/4Nx4fjPCCka6W0vFN3HELX59/Jk9i7egyiqvw+u678FhzBltOJzS6ra2xDn54LQgCsQTLDj+sd/vO3kQX+94Iw3fTAmFuoPptFgCIz5ataHmczYOpHgsH5/dsUfGwWj9fS8bnZ2WzVh+M8MTrvRxb/FoEURdJOCW6vHupxXjnYAyyy/hgMej433BPzImQfZuMz+ZhzbFHuF+TpOhpqY+N43wR7GCskChZ1545oTDjsLHxZDxuJyu/uLtbcDAtzB4x6aX4p5W3ZVgMOnTZDDDpdDDpNDAZsuqnFXwxSprII3jZxCBbLB3sBi6HjTHbr9c7vq+m+GN8oG298t5Jm0fgfnoJJu28BRaTjjurB2H1kUc48zgXH47wwvx+zkgtrMQrn18Gh81E3PqhCq8rkVIY+MVlpBVVyR9bPsQdr0c4wn+94qzLyy6teAVOLViZ0daKKgT46VqKQj2UxjiY6mL1cC+ciM1W2odGi0HDm/1csHigq0p9WV52/EEWVh95hCqhBC5metgzO6xVt6/230qVF5Z7b7A73h1MGsURjWu3xnJtgQQfRFsorRJi5V+xOBsvuwce6miMrRN7wMWMA6mUwp/RGdhyOkGeFDgp2BarR3iBw2bCfc1ppa/5zdQAhDmZ4McryfKZD2WGeFtgVA8rJOVX4Gx8XrsnqlobamN8kA1m9nSEmT4b31xIxLdKOv3+Pi8cvV25yOfxEbb5gvzx3+aGo48bF/P2ReH8k3xMC7PH5vG+iNh6ETllfByYH44IFy6KK4Xy2ZLnm4aDyVCcWD14Nx2rjzyS/6zFoOGfxX1gpKuFXlsUZ19e1tPZBN9MDYRFM2cC1K2oQoCjMVnYePKJyvv0djXF8kgPHI/Jwu930pX23wlzMsGmcb5ws2j+ah++SIJP/o2Xl6Dv48rF968FyWeiWuLwvQys/CsWAPDWKy5YOdSD9GshmkSCD4JQgqIo/HYnHVtPPUGlUAIWk46lg90wv68ztBh0FFcK8emZBHkNECNdLbwz0A2v9bSHUCytlxdR681+znhnkBtOPcrBJ//GK20OV8vFTA/vDnYHm0lHXFYZHmSUtkmjMx9rA0S4mCLSxxLB9saoEkmw6eQThd4ntXrYGuLHmcGwMtRBaZUQARte3G7xtzPC8UW98TS3HEO/vgoaDbiwrD8YdBr6f3YZWgwaYtcOhQ6LAbFECtcPZYHa/Y+GwERPcTmnREph9HfXEZ/zoguro6kuji/qA4FYohDwNMTBVBdfTPJHkL1xs/IgWkokkSI6rQQ7LifhyrPmlcGfHGKL6eEO+Ds6E4fvZUAgltbbxtFUFyuGemCkn1WLLu5pRZV4+/f7eJzNA40GLBngincHu6tceEyZ4w+ysPTQA1CUrIz+2tHeJPAgVEKCD4JoRGZJFT48Gie/mHhbGeDTV3vA10bWCC06rQRrjsXhSc1F0sZIB+8Nccf4QBsIxVKl9UEAWUn2J58MQz5PgL+iM/GNktmFlwXYGWFhf2c4m3GQVVKNtKJKpBVXIb2oCrk8Pkoqhcjh8ZU2GtPXZsLaUAdcfRZsjHTgYWkADwt9+FgbwFiPhXK+CL/fScfWRnIQNo7zxbQwezDoNGQUV6Hvp5cUnk/dOhIURWHGL3dw43kRhvtaYseMYByKSsf//n6EUEdj/LnwResE37X/oUIgxuUVrygtYhWVWoxJO28pPBbmZIJ9c8IgoShM3XULcVm8evsp09eNi1m9HBHmbAID7ZZ/y69FURRyyvi4l1aCP+9ltDgo/HiUN/ztDLH3ZhpOxmYrrZbL5bDx7mA3TA21gxajZal3Z+Jy8P6fsSgXiGGix8JXUwLQ392sRa9V9zUXHYiBRErJZ7hI4EGoigQfBNEEiqJwNCYLG/6NR2mVCAw6DQv6OePdQW7Q1pJ9iz98LxPfXHiGPJ6sCqibOQcrhnog0tsCQokUHmuUByGA7BZGhIspotNKcDouV6FiaFMcTXUx1McSvVxM4WLGgZk+GywGHSKpFEw6HXSaYudosUSKnDI+4rLKcPlpAY7EZDZaPROQzdYs6Ocs7z1yOCoDK/+OVdgmdetIAMC/sdlYfCAGLCYd59/rD3tTXbz9ezROPcrFOwNdsSzSQ75PxJYLyC7j4/ii3vC3M1L63iv/eojD9zIVHuvrxsXOGcHQZTGw50YqNiipNNsUDpuJEX6WCLI3hoWBNkw5LHDYTDDoNNBr/r0qhWLwqsUoqxYhu7QaN54X4vrzQoXW9C0xwMMM7w/1RGmVEDuuJDUYuOixGHizvwvm9nFqVoXSuoRiKbacfiIvgR/iYIzvpgfCyrB59VFe9nd0Jlb+HQuJlMKEQBt8Psm/XWaXiK6DBB8EoaKCcgHWnXgsTwB05uph68Qe8iWqfJEE+26m4ofLSfKy5AF2RrJ6Ii6mkEgpvLE3qtEp+agPB8NMn42UwkpceJKHfbdSkVFcv9hVW+OwmVg0wBWTQ150WpVIqXo1ToAXgUdJpRDDvrmKPJ4ASwe7Yelgd1QLJQj65ByqRRKcWNwHfraG8v2GfX0VCbnl2PdGWIPfwisFYozefl1ewI1GAyhKVv30x5khsDTURmphJRYdkN1OeJmpHqtdy6k3RF+bic3j/RDsYIwTD7NxKCoDyYWVSrfVYtDwWrgDFg90BVeFZnMNySqtxqLf78t767zZzxkrhnq0ePak1s/XkuV5LBOCbPDpxB71cnYIoikk+CCIZvrvcS4+OhaH/JpeJ2MDrLFymKe82mZZtQi7riZh9/VUVNcU0QpzMsGCvs4Y6GkOOp2GG88L8drPdxp8Dy0GDXc/GAxjPRb4IgkeZZUhOq0El5/mN7hqprXM9dmYEGSLSB8LBNgaKXyT/eTf+HozMkO8LfDT6yEAZIHJvH1RuPS0AM5mejj1Tl9oazFwJi4XC3+Lho2RDq7/b4DCLMzru+/i6rMCfDqxR6P1IJIKKjD++xvg8cUw0GZCIqVQKZSAy2Hhi8kvbh/cTCrEyr9ikVnS/sGaMk5cPSwb4o5+7maISS/BoagMnIvPU5pECsgCvunh9pjT27HVMxMXE/Kw7PBDlFaJYKDNxBeTAzDE26JVr0lRFL44+0xex+ON3k5YM9KLzHgQLUKCD4JogbJqEbaefoI/ojJAUQCbSceCfs5Y2N9FPkWeX87H9ovPcfBuuvzWhouZHub3dca4QBtoazHAF0kQ+dVVpBdXNfZ22DkjCEN9LEGj0UBRFPJ4AiQVVCC5oAJJBZWIyyrD09xylAsaTmCty8vKAF6W+nAw1UMPW0ME2hvV6+FRN6B42cl3+sDHWjaLQVEUPvn3CXbfSAGLScext3vDu6aexxt7o3AxIR/z+zrhw5HeCq+x6u9Y/BGVIZ8laczdlGLM2n0X1SIJLA20waDT5OXPJwbZ4n/DPWCuL1vdEpdVhj03UvH3/czGXrJNTAuzwwg/K4Q6muBhRin+e5yH03E59Xqv1GWmz8YbvZ0wPdy+VatOAKBKKMa20wnYdysNgCxB+PvpQbBT0qSvOSRSCh8fj5OvklkR6d6qYmQEQYIPgmiFuKwybPg3Xl6gy1yfjRVDPfBqkK38G2FOmayw2IHb6fLggMthYVYvR8zo6QDjmpUeWaXV9Yp4NWTLBD+8GmyrdAqdoihUCMQQSShIpBSkFAUaDTDQ1mqyJoRESuH7S8/x5bn6zdwAIMjeCH+/FSG/6Lz8bfjbaYEYU1OoKr2oCv0/vwSKUl5/45vzifjq/DNMCbHDtld7NHnMt5OLMH/fPZQLxLAwYMPeRBf30kpAUYCOFgOzeztiToSjvNiWQCxBVEoJzsXnyi/G6mRhwMb4QFv0c+MiwN4IdBoNt5KL8F9cLs7F5zV5u8eZq4cF/V4Eoq11J7kI7/8VKw9kZ/VywAcjvZrdSfdlQrEUyw4/wL+xOaDRgE/G+mJGOxbHI7omEnwQRCtRFIX/Hudi86kE+Qe/j7UBPhrljZ7OpvLtyvkiHIrKwO7rKciu+SbMYtIxzMcSk0Js0duFKw9YMkuq0Gfbpfpv1ghHU128PcAVfd24sDTQbvJbKY8vwvXEQnxzPhFP8xqvJ6LPZiL6oyEKjcZEEinW/vMYB2q+DX88yhtv9HlRnXTdP4+x92Yq+rubYd8bYfVes7Y+RF83LvbPrV+SXpmEXB7m7r2HrNJqaDFoCHcyRXGlUL4kV4tBw3BfK4wNsEZfNzOF8VYLJYjP4eFZXjkyiqvwKKsMDzNKG13u7MSVzQx5WOrDylAbrmb6cDHXgy6LCb5IggcZpbidXITbyUW4n14KoZIlsnXVnu8poXbo5WyqllsWVUIxPj3zVF4/xtpQG1sn9kC/Vq5mqX3thb/dx9VnBdBi0PDl5IBWVUEliFok+CAINRGIZQmn3114Lp/hGOBhhncGuSHQ/kW/EpFEilOPcvDTtWSFpaI2RjqYGGSDV4PtFKpNiiVS7L2Z2qxiVeryv2GeWNjfuV4gk1lShXf/eIDotBLQaMC60T6YVadnTWphJYZ8dQUiCSUvSPay64mFmPHLHbiac3B+WX+Vx1RWJcL//o7Fmce5AGQXWy8rAxRWCvGwJrkSkCV59nQ2RS9nUwQ5GMPNnNOiVSMURYFXLcbTvHIk5PLwJIeH+JxyPMnhNRls1PK01MfUUDuMC7RpUYv6hkSlFuP9Px8itaYa7NRQO3ww0ksty4lLq4R4Y28U7qeXQkeLgZ0zg1u9PJcgapHggyDUrKhCgK/PJ+LA3XRIapIL+7px8c4gN4TW6Z5KURTisng4fC8Dxx9kKXwDD3M0QaSPBSK9LeuVvRZLpLidXIx5v0YptKRXl08n9sCEIBulKxhEEin23UzFV+eeoVIogT6biS+n1E9mfOu3aJyOy21w1gOQ3Zbp99klsJh0xK8f2qwVE7WzTev+iUcuTzaLZK7Php+NIWg0IDazTJ4QXJediQ5sjHRgpq8NMw4buiwGtBh0sJh0SKRSVAklqBJKUCEQI4/HR04ZHzml1fUauanCoWYZ9KgeVjXjUl9+RLVQgs/PPsXuGymgKMDKUBtbJvjhFQ9ztbx+Ho+P13+5i6d55TDU0cLu2aEIrtPwjyBaiwQfBNFGUgor8cOl5zgSkyUPQno5m+KdQW7o6WyicDHiiyQ4G5+HP+9l4PrzQoVCYZ6W+oj0sUSktwW8rQwanKoXiqVIyOXh/JN8/Pswu8GlnICsyNmoHtYYH2iDEEdj6DfxTVkgluD4g2xsv/hcfmspxMEYX00JqJfMeCxGVvWSTgNOvdsXnpbK/zalUgq+6/5DlVCC88v6wdW8ZeXCf7udhp1XklFY8SLY8LIyAJfDAkXJxp5aVIUCJcGIunlZGWCojwWG+VrCw0K/TRIyo1KLsfKvWKTUnN/JIbZYM8pbLbMdgGzWaubuO8goroa5Phv754bDw7L554YgGkOCD4JoY+lFVdhx5Tn+in5R0CvU0Rjz+jpjkKd5vW/8WaXVOPs4F2cf5+FuarE8cAFk3WBDHU3Q09kEYU4m8LYyaLMaCxRF4WFmGU7GZuPv+1korkmg5HJYeH+oByYF29ULhFILKzHy22uoFEpUWsUy/ocbiEkvxXfTAluVSyAUS3HmcS7+uJuO28lFCpVCaTTAzlgXphwWRBIpxBJZEi5fJJUn5IokUvBFUlAUBQpQuZCYvYkuejqbINzJFD1dTOXLrdtCPo+PracTcCQmC4As4XXrhB4Y4Kme2Q5A1un29d13UVghgIOpLn6bG97qlTIEoQwJPgiinWSVVmPn5SQcisqAUCK7XWJjpIPp4faYGmonL+ZVV0mlEBcT8nE2PhfXEutX19RlMeBhqS9fOutpZQAHE11wOexmJzNWCsRIKqjAo6wy3Estwa2kIvktDUA2tT+nt2yFji6rfu5EcaUQr+68ieSCSoQ5muDA/PAmA6PVRx7h4N10vPWKC/43zLNZ421IUYUAF57k41ZyEe6mFMuX5LaWuT5b9u9sZQAvK32EOJq0abBRSyiWYs+NFHx7IRGVQgloNGBKiB1Wj/Bq9dLcuq4+K8CiA/dRzhfDy8oA+94IlS9fJgh1I8EHQbSz3DI+9t5MxaGodHmbexaDjpE9rDCzlwMC7YyUTteLJFI8zubhTnIR7qQUIyq1GOUNrNTQYtBgYaANa0MdGOhogcNmQJfNhDaTAYlUCpGUglAsRUmlEIWVQuTX5De8TI/FwABPc4wNsMEAD7MGg4mCcgFm/nIHCbnlsDLUxtG3e8PSsOkLV+2Kl0B7Ixx9u3eT27dEYYUAz/MrkJhfgezSahSWC1BYIUClQAKxVAqxlAJFyQI5DpsJPTYTJnosWBtpw9pIB9ZGOnAw0VUaHLa1y0/zseFEvPwWWoCdEdaP8WmwHH1LUBSF3TdSselkPKSUbFbu51mhag1sCOJlJPggCA3hiyT4NzYH+2+l4mFmmfxxdwsOxgbYYIy/daNT3hIpheSCCjzJLUdCDg8JueV4mluOnLJqpQ3KVMHlsOBuIftWH+pojFBHkyZrUMRlleHN/dHIKq2GmT4bB+eHq5y/UVvbhEGnIebjIWrLW+js0ooq8cm/T3D+SR4A2Xn53zBPTKxTP0YdBGIJPjoWJ++fMynYFhvH+7a6NghBNIUEHwTRATzMKMWvt9JwIjZbYflmkL0RxgbYYGQPK5X7fIglUuSVC5BTWo2cMj7K+WJUCsSoFIohEEvBpNPApNOhxaTBWJcFLocNLocFJ65es5aBCsVS/HQtGV+ffwaRhIITVw+7Z4fWKybWlAGfX0ZKYSV2zQxGpI9ls/btaooqBPjxajL23kiFUCI7V7MjHPHOYDe1B2YF5QK89Vs07qWVgE4DPhjhhbl9nEjVUqJdkOCDIDqQsmoR/ovLxfGHWbiZVCRf9UKnyabcX/EwxwAPc/hYN7zqpa1JpLJlrp+ffSpv+DbE2wKfv+oPQ93mXyDXHo/DvltpGB9og6+mBKh5tJ1DWZUIP11Lxp4bKfJlvX3duFg72rtFq4CaEpdVhgW/3kN2GR/62kxsnx5EangQ7YoEHwTRQeXz+DgRm4N/HmYrFM8CZNPw/dzMEOZkgiAHY7iacdo8GCkoF+BYTBYO3k2X5yBwOSysHu6FCUE2Lf7GfD+9BBN+uAkdLQai1gwGp4Xt4zujcr4Ie26k4qdryfL8HV8bAywb4o4BHuZtMgtx6lEOlh9+iGqRBM5cPfw0KwQuZhy1vw9BNIYEHwTRCWSXVuPKswJcSsjHjeeF9YpeGWgzEWBvjABbQ7ha6MPNnAMnrl6reoZUCsR4mFmK6NQSXH5WgPvpJfKZGANtJmZHOGJeP+dW3w6gKAqDvryC5IJKrBnphXl9nVv1ep1BlVCM/bfSsPNKkjzp2MNCH+8NccdQH4s2CTqkUgrfXEjENxcSAchmVrZPC2rRbBVBtBYJPgiikxGKpbiXVozriYW4n16ChxllqBbVr0tBpwE2xjqwNNCGuYE2LPS1YayrBR0WA7ospryqp1BCQSCSoLhSiOJKIbJKq5FcUKl0iaq/nREmh9hibICNWmco/ribjlVHHsFcn40r7w+ADqtrJjzm8fj49VYqfr+TjtKaoMPZTA9LB7tjlJ9Vm81eVQrEWH74obwk/bw+Tlg13LPNasQQRFNI8EEQnZxYIkVCbjnup5fgSQ4PiXkVeJZX3mjDNFVZG2ojyMEY4c6mGORpDus2qmshFEsx4PPLyCqtxsL+Llg1XD01PzqKuKwy7L6eghOx2fJCcw6mulgy0A3jAqzbNAjIKK7C/F/vISG3HCwGHRvH+2JyiF2bvR9BqIIEHwTRBVEUhYIKAdKKqpDPEyCPx0cej4+yahGqRRJUCyXylS+1vU1M9Fgw1WPB3IANZzMOnLl67Vrb4lx8Hub/eg8MOg1/LuyFIPvO3UtELJHi0tMC7L6eglvJRfLHwxxNMLevEwZ7WYDRxnk6px/l4H9/x4LHF4PLYeHHmcEIdjBpekeCaGPNuX53nywwgujkaDQazPW1O1WFyiHeFhjZwwonY3Ow4Nd7OLaoN2yNO19p7+f5FfgzOgNH7mfJ+8kw6DSM9LPC3D5Oai0Q1hC+SIJP/o3H73fSAchWSn3/WlC7VGQlCHUjwQdBEG3q04k9kFxQiSc5PEz/6Q72zgmFcydYicHji3AyNgd/3svA/fRS+eMmeixMCrbFrAjHNrtl9bJneeVYciAGT/PKAQAL+7tgeaQ7tEh+B9FJkdsuBEG0uezSakzddRvpxVUw0tXCV1MCMEBNreLVqahCgPNP8nAmLhc3nhfJ+/Uw6DQM8DDDq8F2GOhpDhazfS76FEXhUFQG1p14DL5ICi6Hja+m+KOvG6nfQXQ8JOeDIIgOp7BCgLl7o+Rl58cGWOPDkV4avY1EURQS8ytwLbEQZx/nIiq1WKGMvZs5B5NCbDEu0Kbdx8nji7D6yCOcjM0BIFtG++XkAJjpt38/GoJQBQk+CILokKqFEnxx9il230iBlAK0teiYEmKHGT0d4Gah/qqfL6MoCmlFVbibUowbSYW4mVQkz+Go5WtjgGE+lhjma9kmlUhVEZNegiUHY5BZUg0mnYYVQz2woK+zxirgEoQqSPBBEESHFptZio+PP8aDOlVevawMMMTbAhEupgiwM2pVMTVA1mAtragKSfkViMsuQ2ym7L+yapHCdtpadIQ6mqC/uxmG+lg22vivrUmkFHZdTcYXZ59CLKVga6yD76YFIrCTrxIiugcSfBAE0eFRFIUbz4vw661UXEjIh6TO/Q46DXA248DVjCMvqmaoowV9bSa0GHTQa1IuqoVSVArFqOCLUVAhW35cUC5bjpxZUqW0EzCLQYevjQF6u3IR4cJFkINRh+j4mphXjpV/xyKmJrl1VA8rbJ7gR7oCE50GCT4IguhUSiqFOPckD9cSC3E7uf6tkJbisJlwNtODl6UB/GwN4W9rBA9L/XZLGFWFSCLFjstJ2H7xOYQSKfTZTHw0yhuTQmxJN1qiUyHBB0EQnRZFUcgvFyA+h4e0QllJ+PxyAXjVIvD4YoilFGo/tnS0GNBlMaDHZoLLYcPCQBvm+mzYGOvA2UwPZhx2h76AP8osw/t/PURCrmwJ7SBPc2wc7wsrQ1K7g+h8SJExgiA6LRqNBgsDbVgYaAMemh5N2+CLJPj6fCJ+upYMiZSCsa4W1o3xwRh/6w4dLBGEupDggyAIoh1FpRbjf3/FIrmwEgAw2t8aa0d7g9uOZe8JQtNI8EEQBNEOSiqF+PzsUxy4mw6KAsz12dg03g9DvC00PTSCaHck+CAIgmhDYokUv99Jx5fnnsmX+U4JscMHI71gqENWshDdEwk+CIIg2sj1xEJs+PcxnuVVAAA8LfWxdrQPermYanhkBKFZJPggCIJQs/SiKmw8GY+z8XkAAGNdLSyP9MDUUDswSTM4giDBB0EQhLpUCMT44dJz/HwtBUKJFAw6DTN7OuC9we4w1CW3WAiiFgk+CIIgWokvkmD/rTTsuJKE4kohAKCPKxcfj/aGezv0rCGIzoYEHwRBEC0kEEtwOCoD3118jvyaqqxOXD2sHu6JId4WpGYHQTSABB8EQRDNJJZIceR+Fr65kIis0moAgI2RDt4d5IYJQTYkr4MgmkCCD4IgCBUJxVL88zAb3196jpSaImHm+mwsGeiKyaF2HaJBHUF0BiT4IAiCaEI5X4SDd9Ox+3oqcnl8AICJHgtv9XfBzF4O0NYiQQdBNAcJPgiCIBqQx+Njz41U/H47DeUCMQDATJ+NOb0d8XovR3DY5COUIFqC/OUQBEG85GFGKfbfTsPxB1kQSWQddF3M9LCgnzPGBdqQ2ysE0Uok+CAIggBQJRTjnwfZ+P1OOh5llckfD3U0xoJ+LhjkaQ46naxeIQh1IMEHQRDd2pMcHg5FZeDv+5ko58turbAYdIzws8TMXo4IdjDW8AgJoushwQdBEN1OHo+P4w+ycOR+FhJyy+WPO5jqYnqYPSaF2MFEj6XBERJE10aCD4IguoXSKiHOxefhn4fZuPG8EFJZKgdYDDoGeppjerg9+rhyya0VgmgHJPggCKLLKigX4Gx8Ls7E5eJWUhHEtREHgBAHY4wPssFIPysY6ZJZDoJoTyT4IAiiy5BKKcRmleHy03xcelqA2MxSUC/iDXha6mOEnxXGBdjA3lRXcwMliG6OBB8EQXRaFEUhtagKN5MKcTOpCLeSiuSN3Wr52xpimK8VhvtawpGrp6GREgRRV5sFHz/88AM+++wz5OTkwMfHB19//TX69u3bVm9HEEQ3UCUU41FmGWIyShGTXoKY9FJ5Q7daHDYTfd24GOBhjv4eZrAw0NbQaAmCaEibBB+HDh3C0qVL8cMPP6B379748ccfMXz4cMTHx8Pe3r4t3pIgiC6mpFKIhNxyPM3lISG3HI+yypCQWw5JnbwNQJYwGmhvhAgXLnq5mCLAzggsJmnsRhAdGY2iKKrpzZonPDwcQUFB2LFjh/wxLy8vjBs3Dlu2bGl0Xx6PB0NDQ5SVlcHAwEDdQyMIogMprRIiragKacVVSC+qRFpRFdKLq5BaVIk8nkDpPhYGbATZGyPQ3giB9sbwtTaEDotUHCUITWvO9VvtMx9CoRDR0dFYtWqVwuORkZG4efNmve0FAgEEghcfMjweT91DIgiig6AoCt9cSMTX5xNV2t7WWAeelgbwtNSHl5UBAu2NYG2k08ajJAiirak9+CgsLIREIoGFhYXC4xYWFsjNza23/ZYtW7B+/Xp1D4MgiA6oSijBtxcUAw8zfTYcTHRhb6oLBxM9OJjqwsFUF67mHOhra2lopARBtKU2Szil0RQL9VAUVe8xAFi9ejWWLVsm/5nH48HOzq6thkUQhAbpsZnYOycMf0SlQyShEOxgjIX9XTQ9LIIg2pnagw8ulwsGg1FvliM/P7/ebAgAsNlssNlsdQ+DIIgOqp+7Gfq5m2l6GARBaJDaU8JZLBaCg4Nx7tw5hcfPnTuHiIgIdb8dQRAEQRCdTJvcdlm2bBlmzpyJkJAQ9OrVC7t27UJ6ejoWLlzYFm9HEARBEEQn0ibBx5QpU1BUVIQNGzYgJycHvr6+OHXqFBwcHNri7QiCIAiC6ETapM5Ha5A6HwRBEATR+TTn+k3KABIEQRAE0a5I8EEQBEEQRLsiwQdBEARBEO2KBB8EQRAEQbQrEnwQBEEQBNGuSPBBEARBEES7IsEHQRAEQRDtigQfBEEQBEG0KxJ8EARBEATRrtqkvHpr1BZc5fF4Gh4JQRAEQRCqqr1uq1I4vcMFH+Xl5QAAOzs7DY+EIAiCIIjmKi8vh6GhYaPbdLjeLlKpFNnZ2aAoCvb29sjIyOjyPV54PB7s7OzIsXZB3el4ybF2Td3pWIHudbzqPlaKolBeXg5ra2vQ6Y1ndXS4mQ86nQ5bW1v59I2BgUGX/wWoRY616+pOx0uOtWvqTscKdK/jVeexNjXjUYsknBIEQRAE0a5I8EEQBEEQRLvqsMEHm83G2rVrwWazNT2UNkeOtevqTsdLjrVr6k7HCnSv49XksXa4hFOCIAiCILq2DjvzQRAEQRBE10SCD4IgCIIg2hUJPgiCIAiCaFck+CAIgiAIol11uOAjNTUVc+fOhZOTE3R0dODi4oK1a9dCKBQqbJeeno7Ro0dDT08PXC4X77zzTr1tOoNNmzYhIiICurq6MDIyUroNjUar99/OnTvbd6BqoMqxdpXzqoyjo2O987hq1SpND0stfvjhBzg5OUFbWxvBwcG4du2apofUJtatW1fvHFpaWmp6WGpx9epVjB49GtbW1qDRaDh27JjC8xRFYd26dbC2toaOjg5eeeUVPH78WDODbaWmjnX27Nn1znPPnj01M9hW2rJlC0JDQ6Gvrw9zc3OMGzcOT58+VdhGE+e2wwUfCQkJkEql+PHHH/H48WN89dVX2LlzJz744AP5NhKJBCNHjkRlZSWuX7+OP/74A3///TeWL1+uwZG3jFAoxKRJk/DWW281ut2ePXuQk5Mj/2/WrFntNEL1aepYu9J5bciGDRsUzuOaNWs0PaRWO3ToEJYuXYoPP/wQMTEx6Nu3L4YPH4709HRND61N+Pj4KJzDR48eaXpIalFZWQl/f39s375d6fOffvopvvzyS2zfvh1RUVGwtLTEkCFD5P24OpOmjhUAhg0bpnCeT5061Y4jVJ8rV65g0aJFuH37Ns6dOwexWIzIyEhUVlbKt9HIuaU6gU8//ZRycnKS/3zq1CmKTqdTWVlZ8scOHjxIsdlsqqysTBNDbLU9e/ZQhoaGSp8DQB09erRdx9OWGjrWrnhe63JwcKC++uorTQ9D7cLCwqiFCxcqPObp6UmtWrVKQyNqO2vXrqX8/f01PYw29/JnjlQqpSwtLamtW7fKH+Pz+ZShoSG1c+dODYxQfZR9vs6aNYsaO3asRsbT1vLz8ykA1JUrVyiK0ty57XAzH8qUlZXBxMRE/vOtW7fg6+sLa2tr+WNDhw6FQCBAdHS0JobY5hYvXgwul4vQ0FDs3LkTUqlU00NSu+5wXrdt2wZTU1MEBARg06ZNnf6WklAoRHR0NCIjIxUej4yMxM2bNzU0qraVmJgIa2trODk5YerUqUhOTtb0kNpcSkoKcnNzFc4zm81G//79u+x5vnz5MszNzeHu7o758+cjPz9f00NSi7KyMgCQX1M1dW47XGO5lyUlJeG7777DF198IX8sNzcXFhYWCtsZGxuDxWIhNze3vYfY5j755BMMGjQIOjo6uHDhApYvX47CwsIuMWVfV1c/r++++y6CgoJgbGyMu3fvYvXq1UhJScHPP/+s6aG1WGFhISQSSb3zZmFh0SXO2cvCw8Px66+/wt3dHXl5edi4cSMiIiLw+PFjmJqaanp4bab2XCo7z2lpaZoYUpsaPnw4Jk2aBAcHB6SkpOCjjz7CwIEDER0d3akrn1IUhWXLlqFPnz7w9fUFoLlz224zH8oStV7+7969ewr7ZGdnY9iwYZg0aRLmzZun8ByNRqv3HhRFKX28vbXkWBuzZs0a9OrVCwEBAVi+fDk2bNiAzz77rA2PQHXqPtaOfF6Vac7xv/fee+jfvz969OiBefPmYefOnfjll19QVFSk4aNovZfPT0c+Z60xfPhwTJw4EX5+fhg8eDBOnjwJANi3b5+GR9Y+ust5njJlCkaOHAlfX1+MHj0ap0+fxrNnz+Tnu7NavHgxYmNjcfDgwXrPtfe5bbeZj8WLF2Pq1KmNbuPo6Cj//+zsbAwYMAC9evXCrl27FLaztLTEnTt3FB4rKSmBSCSqF71pQnOPtbl69uwJHo+HvLw8jR+vOo+1o59XZVpz/LXZ88+fP++035q5XC4YDEa9WY78/PwOe87USU9PD35+fkhMTNT0UNpU7Yqe3NxcWFlZyR/vLufZysoKDg4Onfo8L1myBP/88w+uXr0KW1tb+eOaOrftFnxwuVxwuVyVts3KysKAAQMQHByMPXv2gE5XnKDp1asXNm3ahJycHPk/1tmzZ8FmsxEcHKz2sTdXc461JWJiYqCtrd3gctX2pM5j7ejnVZnWHH9MTAwAKPzBdzYsFgvBwcE4d+4cxo8fL3/83LlzGDt2rAZH1j4EAgGePHmCvn37anoobcrJyQmWlpY4d+4cAgMDAcjyfa5cuYJt27ZpeHRtr6ioCBkZGZ3yb5WiKCxZsgRHjx7F5cuX4eTkpPC8ps5th8v5yM7OxiuvvAJ7e3t8/vnnKCgokD9XG6FFRkbC29sbM2fOxGeffYbi4mKsWLEC8+fPh4GBgaaG3iLp6ekoLi5Geno6JBIJHjx4AABwdXUFh8PBiRMnkJubi169ekFHRweXLl3Chx9+iAULFnS6e49NHWtXOq8vu3XrFm7fvo0BAwbA0NAQUVFReO+99zBmzBjY29trenitsmzZMsycORMhISHymcr09HQsXLhQ00NTuxUrVmD06NGwt7dHfn4+Nm7cCB6P1ymXvr+soqICz58/l/+ckpKCBw8ewMTEBPb29li6dCk2b94MNzc3uLm5YfPmzdDV1cX06dM1OOqWaexYTUxMsG7dOkycOBFWVlZITU3FBx98AC6XqxBgdxaLFi3CgQMHcPz4cejr68tnKQ0NDaGjowMajaaZc9tm62haaM+ePRQApf/VlZaWRo0cOZLS0dGhTExMqMWLF1N8Pl9Do265WbNmKT3WS5cuURRFUadPn6YCAgIoDodD6erqUr6+vtTXX39NiUQizQ68BZo6VorqOuf1ZdHR0VR4eDhlaGhIaWtrUx4eHtTatWupyspKTQ9NLb7//nvKwcGBYrFYVFBQkHwZX1czZcoUysrKitLS0qKsra2pCRMmUI8fP9b0sNTi0qVLSv8+Z82aRVGUbEnm2rVrKUtLS4rNZlP9+vWjHj16pNlBt1Bjx1pVVUVFRkZSZmZmlJaWFmVvb0/NmjWLSk9P1/SwW6Sh6+mePXvk22ji3NJqBkcQBEEQBNEuOkWdD4IgCIIgug4SfBAEQRAE0a5I8EEQBEEQRLsiwQdBEARBEO2KBB8EQRAEQbQrEnwQBEEQBNGuSPBBEARBEES7IsEHQRAEQRDtigQfBEEQBEG0KxJ8EARBEATRrkjwQRAEQRBEuyLBB0EQBEEQ7er/vFtdxW/EuMMAAAAASUVORK5CYII=\n" 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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/lorenz63/Lorenz63Train.ipynb b/examples/ode/lorenz63/Lorenz63Train.ipynb index 3330247e..d9484e46 100644 --- a/examples/ode/lorenz63/Lorenz63Train.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train.ipynb @@ -116,7 +116,7 @@ "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} @@ -166,7 +166,7 @@ " init_coeffs=ode_coeffs,\n", " dt=0.01,\n", " solver=\"euler\",\n", - " optimizer=torch.optim.Adam\n", + " optimizer=None\n", ")" ] }, @@ -181,21 +181,21 @@ "output_type": "stream", "name": "stdout", "text": [ - "Loss: tensor(235.4734, grad_fn=)\n", - "Loss: tensor(229.5995, grad_fn=)\n", - "Loss: tensor(241.3257, grad_fn=)\n", - "Loss: tensor(249.6300, grad_fn=)\n", - "Loss: tensor(245.2753, grad_fn=)\n", - "Loss: tensor(238.3391, grad_fn=)\n", - "Loss: tensor(232.0101, grad_fn=)\n", - "Loss: tensor(248.2782, grad_fn=)\n", - "Loss: tensor(234.6457, grad_fn=)\n", - "Loss: tensor(235.9567, grad_fn=)\n" + "Epoch: 0\t Loss: tensor(244.7654, grad_fn=)\n", + "Epoch: 1\t Loss: tensor(235.4375, grad_fn=)\n", + "Epoch: 2\t Loss: tensor(229.1028, grad_fn=)\n", + "Epoch: 3\t Loss: tensor(226.1190, grad_fn=)\n", + "Epoch: 4\t Loss: tensor(232.3596, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(244.8889, grad_fn=)\n", + "Epoch: 6\t Loss: tensor(246.5087, grad_fn=)\n", + "Epoch: 7\t Loss: tensor(248.6016, grad_fn=)\n", + "Epoch: 8\t Loss: tensor(244.2324, grad_fn=)\n", + "Epoch: 9\t Loss: tensor(227.9050, grad_fn=)\n" ] } ], "source": [ - "ode_solver.fit(result)" + "ode_solver.fit(result,torch.optim.Adam)" ] }, { @@ -208,11 +208,11 @@ "data": { "text/plain": [ "{'sigma': Parameter containing:\n", - " tensor(9.9782, requires_grad=True),\n", + " tensor(9.9751, requires_grad=True),\n", " 'rho': Parameter containing:\n", - " tensor(27.9222, requires_grad=True),\n", + " tensor(27.9216, requires_grad=True),\n", " 'beta': Parameter containing:\n", - " tensor(2.7742, requires_grad=True)}" + " tensor(2.7751, requires_grad=True)}" ] }, "metadata": {}, @@ -250,13 +250,13 @@ "output_type": "execute_result", "data": { "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.0022e-01, 2.7922e-01, 0.0000e+00],\n", - " [ 8.3825e-01, 5.2779e-01, 2.5136e-03],\n", + "tensor([[1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [9.0025e-01, 2.7922e-01, 0.0000e+00],\n", + " [8.3830e-01, 5.2779e-01, 2.5136e-03],\n", " ...,\n", - " [-1.2071e+01, -1.2319e+01, 3.1191e+01],\n", - " [-1.2096e+01, -1.1802e+01, 3.1813e+01],\n", - " [-1.2067e+01, -1.1213e+01, 3.2358e+01]], grad_fn=)" + " [1.1217e+01, 1.0209e+01, 3.1372e+01],\n", + " [1.1116e+01, 9.7200e+00, 3.1647e+01],\n", + " [1.0977e+01, 9.2087e+00, 3.1849e+01]], grad_fn=)" ] }, "metadata": {}, @@ -283,8 +283,8 @@ "output_type": "display_data", "data": { "text/plain": "
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\n" 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\n" 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TCcH5LlfTXnsBXmzs3WhS47SOkcSlj+hq++H24G88vqFXYmIihgwZ0qPteUJcCCEoLy+HxWLBqFGjMHjw4C7vE/96x+6PfP5GfX09ioqKhB4pfHBAf4hy6q/0VhKlY0KnYztolmWdqge4sx+9bbl0RkdiI3Xp7BhJXM4z7uSudAU+iay8vByTJk2Cn59fj/bPE5aL2WxGZmYm2traIJfLERUV1aPt2eMqf8Mxykmj0Ygsm95eeB4IWe8856sqsqt20LzYnDlzBgBEOTbtWZ89XdD3NO6IDT8BCg4OFkKf/45iI4nLeYQQgoaGBsFl0NMLrq6uDpmZmQCAiRMnwsvLq8f72NWMf0caGxuRkZEBf39/jB07FkePHu32ttwROvuQ2ri4OCE4oKGhAcXFxcjOzhYWngMDA+Hn5/e3Dg7oCyGkKK4dtFarRVRUFAghQodO3vq073Vjn9DJsux5iUrrLq7Ehq/ZN23aNJhMpr9tl05JXM4TvLVy9uxZWK1WJCUldXtb9pFXw4YNQ25urscGzO5aLoQQlJSUoLCwUHDN6XS6815bzDE4wH7hOS8vDxaLxSk44EK/ye3pD1YWRVHw9fWFr68vhgwZApZlhQ6djgmder2+x9b4+cReaBQKhVPjtL9TS2hJXHoZx9wVmUwmRKB0B4PBgMzMTFgsFkyZMgVarRa5ubl9WsnYYrEgKysLLS0tmDhxIvz9/bu9LUd6+n77hWd+LaChoUEo7ghw7hl+vWYg1NvqKf3t+9E0DX9/f/j7+zsldNbX16OlpQV1dXUiN1pvt4PuCfw6KuB+l05+zeZC6tIpiUsv4pi7wmcOd1cI+ATEsLAwjBgxQrBWeurKsqer2+ITNbVarVOEWn+rimy/FsAXd+TdM7W1tSgsLIRCoRAGsMDAQLcHsYEyEPQHy6Uz7BM69Xo9fH194e3tjaamJqEdNJ/QyQtOf3KddZSX1ZHYWK1W4fkLoUunJC69gH0JF8fcle4IAcuyyM/Px9mzZzFq1ChERESInu+LSsaEEJSVlSE/P7/dRM2OtuXujdKb2e+O7hnHEih5eXnw8vISrJqAgIBeSRQ8nwwEcbGHZVnIZDKRq9O+HTS/rqbVakXVA/ryPPH77A7tiY1j47TXXnsNc+fOxcyZM3txzz3LwL5T+iGd5a50VVz0ej0yMjIAcA29vL29nV7jScvFnSRKq9WKnJwcNDQ0YPz48ULJEFfbAro/oJ3v8i+OJVDsB7GioiIYDAZRcACfKDiQyr/0t+irznAViuzYDtpkMgnnqaCgAEaj0al6wPkM4rB3i3WV9sRm27ZtPVqn7QskcfEg7uSudMUtVllZiZycHERERGD48OEdVjI+X2sufNl+lUqFtLS0Dt1GA01cHHE1iPHrNTk5OULnR5PJBIPBMCCsgoGwj/a4k+eiUqkQFhaGsLAwAIDRaBQFcZjNZlGODR+p2Vt4slwRLzZ8/52BhCQuHqArJVzcEQKGYZCXl4fq6mqMHj1auGnaw9NrLu0N6OXl5cjNzUVMTAwSEhI6HaTsxaW95zqjP1kFKpUKgwYNwqBBg0SdH1tbW1FcXIwzZ86I1mv6Y38UYOCsDwHdy9BXq9Wi8+SY0MkwjFOHTk+KTVfcYu7Ahzf7+Ph4bJvnA0lcekhXS7h0JgRtbW3IyMiAXC5HWlqay1L0jvTGmov9DNde7JKTk4WZvDvbArovEP15EKQoW+fHyspKDBkyBGq1Gg0NDaitrUVBQQGUSqVovaY/RDhdiJZLR3gyodNdeuIWaw+dTufSJd6fkcSlB/C5K10pONmeuPDlUvLy8hAdHY3ExMQeVUbuLva+Xt4cz8jIgEwma7d7ZXv0VFx6+t7ziX1wQExMjBAc0NDQ4BThxLcV6ItF54EoLp7cX1cJnXw5oYaGBpw+fVoIjebFpqvh6b1RxVuv10Or1Xp0m72NJC7dwD53paslXGiaFqwcHn6BvL6+vkuWgf02PbnmAnDfsaqqCtnZ2Rg8eDCGDh3araZN/LYc4a2jzt4/UMTFEVfBAfxs2X7Rmbds/Pz8zksNrYEoLr1dFdlVO2j78HS+dp199YDO9tmT4mK1WmE0GiVxudBxt/1wezgKQUtLCzIyMqBWq5GWltatoovuRHh1ZVsAkJeXh6qqKrfWfDrb1kAVCHdx5/spFApRyXqj0SgEB/BVhO2TObVaba+IgCQuHcO3g/bz8xMsUL56AN/YTqVSicTG0d3paculra0NAKQ1lwuVrrYfbg8+WowQgtLSUpw6dQpxcXGIi4vr80rGABcRBXDJkWlpaT2KUPHEmsuFKkxqtRoRERFCFWH7dYDi4mJRzTQ+OMATDDRxOd8l9x2xr3kGcFYEnwvFuzu9vLxEOTYsy3q0JbRerwcAyXK5EHFctO9JtizvFsvIyEBTU1OHeSJd2aYnLJeamhqhEOa4ceN6HPp4IS/oexLHdQDeNdPQ0CDU2uJny7xl093Ba6CJS1+X3HdELpcjKCgIQUFBAJwTOnU6HeRyOby9veHj4+ORtTWdTge1Wj3gCq5K4tIJnuq7wtPW1gaWZcGyLKZOneqRGU5PxYVlWRQUFKC0tBSjRo1CZmamxwagnlofA8Vy8eSAbe+a4WttOfaz705GumMU4ECgvyd9OuZCmc1mIem5sLBQlHjb3YTOtra2AdkQTxKXduA7z7W1tcHLy6vHwkIIQXFxMQoLCwEAycnJHpuJ9ERcXLUgzsrKOu/lZDz93gsJmUwmmi3z/ewbGhqE4ABfX1/BquksSXCgDFK8GPYny6UzlEolFAoFwsPDMWjQICGhs6mpSUjotG8H7U4gBy8uAw1JXFzAu8Hq6+uRk5OD6dOn9+iGNJlMyMrKgk6nQ0pKCo4cOeLRQbO7gzDfDyY4OBgTJkwQxK4vapW1996BwPkWQMd+9nySYENDg9D1kQ+lDQwMFGa9/H4OlOPKT5gGkrgA4gV9x4RO++oBfCCHY4dOx++r1+sly+VCgGVZmM1mIZywp2Z5fX09MjMzERAQgLS0NGFbnoruArpuuRBChLbII0aMwODBg0XPezr67ELJ0O+vOLYY1ul0QiSafXCAfSuEgQB/7geiuLjaZ4qinM4VX+WBbwFBCHHKsfF0AuXKlSvx/PPPix4LCwtDVVUVAO64P//88/jwww/R2NiIyZMnY926dRg1alSXPkcSl3O4aj8sl8udclK6sr3CwkKUlJRg2LBhiIqKEg3afSUuJpMJmZmZMBgMmDJlisvwRk9Gn/0dLJf+hH1wAJ+3wYfS8oPH4cOHhRwcf39/j0Y2eZKBarm4m+diX+WBbwHBJ3Q2NjbiyJEjeOCBBzBs2DAYjUbk5eVh+PDhHrkvRo0ahV27dgn/2+/vK6+8grVr1+KTTz7B0KFDsWrVKsybNw/5+fldCoeWxAXtl3Dp7loGv45hNpudBnB+230hLnwL4oCAAIwbN67dRWBPr3W42pbFYoHBYOg0vFKyXHqGfSOuwYMHY8+ePUhISEBzczNKSkrQ1tYGrVYrrNf4+/v3m6gk+z5IA4nuln9xTOgcMWIEAgMDsWHDBuzduxfjx4+Hn58fZs2ahddee82p9UZXkMvlCA8Pd3qcEII333wTTz31FBYtWgQA2LhxI8LCwvDll1/irrvucv8zur13FwCd5a7Y56S4e4HX1tYiMzMTISEhGD9+vMsB3JMZ9UDnbiz7FsRDhw5FdHR0h9/Hk+LnygpqamrC8ePHYTKZoFarhVm0Y9OngTSoDIR95c9DcHCwsF5jNpuF9Zr8/HyYTCanNtB9ZTnwLumBcGzt8VSGvlKpxMyZM3HkyBEoFAp8+umnOHjwIH7//fcet34uKChAREQEVCoVJk+ejNWrVyMuLg7FxcWoqqrCxRdfLLxWpVJhxowZ2L9/vyQu7uDYftjVRczfVO5cLCzL4tSpUygrK8PIkSMRGRnZ7ms9LS6uSsrwWCwWZGZmorW1FZMmTXLrovSkWwywDWr2DcYSEhIQEhIiuGz4pk/2UU/ulIiRcB9XC/pKpVIoV++qgjDLsqJs9PO5sNzfclzcxdMZ+jqdDlqtFiqVCtOnT8f06dN7tL3Jkyfj008/xdChQ1FdXY1Vq1YhLS0NOTk5guvUsSpHWFiYUOTTXf6W4uLYfri9C5i/QDq7WPR6PU6cOAGWZYVw3o7oSAy6A03TsFgsTo931IK4IzwdLQZwx5CvnzZ+/Hj4+/vDbDaLOgzy/VIaGhpQUVEBi8UCuVyOsrIyBAYG9tv+9gNFAN2p5eZYQZhfA6ivr0dRUZGozlZgYGC3yhV1ZX8Hmrjwng5P7renQ5Evu+wy4e/Ro0cjNTUV8fHx2LhxI6ZMmQLA2RLvTn7U30pcOmo/7Ar+AulICPjijhERERg2bJhbM5besFzst2dfWiYhIQExMTE9qn/WEyiKgl6vR25uLuRyOVJTU6FWq11u37FfSnFxMaqrq4WBje9vz7vR+utCdH+lq2WLXBV15EufVFRUID8/HxqNRmTZeLKX/UC0XPjr2pOWi16vF8rP9Abe3t4YPXo0CgoKsHDhQgDcuDZo0CDhNTU1NV2uMfi3EZeu9l0B0OGiPsMwOHnyJCorK5GUlORycaw9utKN0h3sLQ2r1Yrs7Gw0NjZ2u7SMJy0XhmGQm5uLwYMHY9iwYW4PFhRFQa1WQ61WIzk5WVTCvrS0FLm5ucJCdGBg4HlvZTsQ6Wl2vn29s7i4OFitViGZk3dr2reB7uk56e/Z+a6wH188Be8W6y1MJhPy8vJw0UUXITY2FuHh4di5cyfGjRsHgFuX2717N9asWdOl7f4txKUnJVxkMpmT5dLW1oYTJ06ApuluFXfsLcultbUVx48fh0aj6bQFcUd4QlwIISgoKIDZbEZsbCyGDRvWrf3gcSxhb78QnZeXB4vFAj8/P+E1vVVV2J197a94uvSLXC53cmvatxfmz4l9cEBXPn8gWi4MwwiTUk/h6S6UjzzyCBYsWIDo6GjU1NRg1apVaGlpwS233AKKovDQQw9h9erVSExMRGJiIlavXg0vLy8sXbq0S59zQYuLq9yVrt5cjkLAt/qNiorqVo8TV9vsKTRNQ6/XIz09HbGxsYiPj+/RINLTaDGz2YwTJ07AaDTCy8urR4U52xM5x4VovV4vJA6WlJSApmlBaAIDA/tFF8i+prfriqlUKoSHhyM8PFwIDuDPSWlpKQCI2gp0toY2EMXF071cAM93oTx79iyWLFmCuro6hISEYMqUKUhPT8eQIUMAACtWrIDBYMCyZcuEJModO3Z0WeAuWHHpjhvMFbzlYrVakZubi9ra2m419LLHk+LCMAwqKirQ1taG8ePHC7NIlgWqqwGaBpRK7sdiARobgZYWCkFBBOHhgKtUl55EizU1NSEjIwN+fn5ITU3FwYMHe722mH0yGl9VuKWlBQ0NDUJ3T17keqML5EBa0D9fFpZ9cACfIOiqCRcvNK4mAANxQb83Whx7ugvl//73vw6fpygKK1euxMqVK3v0ORekuHSn/XB70DSN1tZW5ObmQqlUdrnVb3vb9ES0WEtLG37++RSKi/2RlZWAxx4bhJMne35hq1RTMW+eAdddR+OSS1i4E1LvGGbMBxH0RfFJ+8TBuLg4l10g7V1oXXXXDFT6siKyfRvoIUOGCE24XE0A7PuiDLTz0hstjqXClf0Ax9wVT1QytlqtOHXqlOBu8sSspLuWi9kMHD9O4d13Zdi0SQZABSC1x/vjiMkkw88/a/Hzz+LH1WqCRx5hsGwZA3tPFx9mXFdX5xRE0B+qIjt2geTdNXxwAABRFJqnGnP1N/pTuX3HJlz2fVGKiopgMBgES6ahoWHABGx42i3G14obaF0ogQtIXBxzV3qa2WuxWJCdnQ2TyYSYmBgkJiZ6ale7JC4NDcCaNTK89Zb7p8rXl2DyZIIJE1gEBwPe3gTe3oC3N0BRgF4PtLUBZ85QKCigUFhIoaGBgkpFcOYMBZPJ9XEzGimsWiXHqlW2fbnhBhOmTs3BiBF6l22a+2NtMY1Gg8jISCGXg59B8425+KoBvRFe25f0Z/edY18Uk8mEoqIiNDY2Ijc3V6gezJ+X/mpt9pZbTLJc+gA+d4VfxB00aFCPL7qmpiacOHEC3t7ewsKjJ+ksFJkQ4JNPaNxzT8eD2sKFDG6+mUVDQxMOHGhGTU0sDh2iUV1NYedOCjt3dvUipxAVRRAZ2YhhwwgmTfKBxQIUFlLYupVGUZHz9r74QoUvvpgIAIiMJFi/3oK5c22DWH9vFkZRlKgxl3147enTp4VmT7xV016vlP440DnSnyyXzlCpVNBqtWAYBklJSUL14IaGBiFT3LENdH/4br3hFuvtUOTeYkCLi/2ifUtLC2ia7lExN74GV0FBARISEhAbG4uMjAyPZtMD7Vsuu3ZRWLJEgdZW1zfJJZeUYuZMBgEBkThyRIZDhyhce60cLBsCwBZgQFEEKhUgk3EL9jIZ90PTgE4HtLVx2w8KIggJIZDJgNpaCjU1FMrKKJSVBSA9Hdi40fbZgwYRzJrFYvhwgqoqYNs2wGAQ30Tl5RSuuMKW2LhhgwVxcf3PcukIx/Bavv9GQ0MDsrKyROVQ+KoB/dkisGegLZDbr5naVw9mWRZtbW1oaGhAbW0tCgoKoFQqRW2g+yo60NNuMbPZDLPZLLnFzieOuSsymUxYa+kOZrMZWVlZaG1txcSJEwVfsKdLtfDbtBeX336jMH++62zzyZMZREU1oqiIxf79g7F9e/uDQ3w8i4QEguhoTkSysylUVFBoagKsVueBur6eQn09heBggqgoguHDCSwWoLbWCL1eDqNRgZYW7r2VldzPH3/Y3h8czOKSSwh8fYEff6RRXi7+jNtuUwC4CImJZmzZQhAf36XD1C86UTo2e+IHtbq6OqFqgNVqRWNjI7y9vft11YCBZLkA7e8vTdNCcEBMTIwowbasrAy5ubmC16E3ogM7wtNuMZ1OBwCS5XI+4HNXrFaraGYjk8lgMpm6tc2GhgacOHEC/v7+mDp1qsjH7ulseoC7OaxWBt9/T2PpUmfX15QpLO66i8H//gds367AwYPBwnMaDcHo0eRcWDEnHE1N3A1YVESjqKjr+1NXR6Guzv4mdu0GVCoJAgIMCAlhUF6uRV0djS++4J7TagmuvZZBUhLB1q00Dh603WAFBUrwfYYeesiKJ59k4O690tfiYo99ORQ+4qm5uRlZWVmorq5GSUlJv64aMNDExd08F8cEW/voQPs+9rxV405r4e7SG0UrAUhrLr1NR7krrjLp3dke35GxvVL0vWG5/PGHHx56aIjT488/b8XQoQRvvSU7N+vnXFzz5zMYPpwTk5wcCunpPbsxaJqAZbs+yJjNFKqrvVBdDYSGEowfz6KtjROn+noK334rw7ffciJ0ySUMEhMJPvyQgtlsu9nefFOON9+UIyKCYNs2C2Ji2v+8/j4Q8oOaQqHA8OHD4e3tLUSh8RnqfNKgfbvhvqI/CbU7dDeJ0jE60N61ybcWtk/m9GQ1B0+7xXQ6Hby8vAaUO5NnwIhLZ7krXRUXo9GIzMxMGI1GTJ48Gb6+vi5f1x3Rag+DAZg4UYHCQrGwrF5tRWAgwRtvyJCfb7uIoqMtGD2aRmamDD//3PHF7+1tQWSkDEFBwJAhBEOGEISHE+j1nHXT3Mz/5iydpiYChgHCw4GICILISIKgIKC1FSguboBOp0BDgx8yMigYDM6fXVPDrdHwaLUEej3AshTMZgrbt8uwfTsnjuPGGQCocPy47btVVFAYM4Y75r/8osdFF7k+xgNlQKQoCkqlUpShzlcN4Gtv8eG3fVU1YCBaLp4YqB1dmzqdTrBs7NtA8z89CQ7wtOXC57gMpPPG0+/FxT53paMSLl1pSVxbW4usrCwEBQUhJSWlQ38sTdMwm83d3n+ezZtpLFkidoGtWGGFVgu8+64MFRXcd1IoWDAMBZalUFqqwLk0DCeuuIJBQgJBUxOFqioGWVlmnDrF+ZoOHHB/vwoLXT3Kzfh8fAhCQ/UgBLBaNfDzA0JCgBMnKDQ3i88BHyRgj0JBYLFQOH6cyxsJCiK44goWf/xBo7TU9vr58zk33Pr1BixZYls3Gyg3lCsBdFU1gF8X4JMGvb29RSHPve1CG4ji4ukwcPs20Px5aW1tFYWiq1QqUXBAV9bRWJb16LrbQA1DBvq5uLAsC6vV6lYJF3csDJZlUVBQgNLSUowYMQKRkZGd3mw9tVwaGoAhQ5SwWGyf4+/PYMaMWqxfHyYM0iEhDDQaPerqvGCxOJvA/v4Ey5czGDGCICODwm+/0di2jT63UC8D4PmF5NZWCq2ttgu7ogLIywNGj2aRlsaCpoGaGuC771wPihYLhYAAC0JCGDQ3q1BdTWHjRhmUSoKlS60oLwd277ZdgnfdpcFddwEffWTAdddxIjNQLJfOsJ8dA7Z1gYaGBpw6dUroANmbVQMGmrj0ZH8J4YJa+PVE3nXL/U0L/zc1AaNHa3DddQGYNIkFyzJCMueZM2eQk5MDrVYrnLvOggN6w3Lpr32MOqNfiktn7Ydd0dnaiMFgwIkTJ2C1Wt1q6MXTkwX9DRucc1WWLbNi40YaP/zAlegfNoxFdHQbDh9WobbWOdxw6FAWsbEEcjnw6qsytLS4f5HJ5QQxMQSJiQRDhgAMwyVQGgzcb72ecvl3Wxs6XJPJyqKRlcX9rVQSpKaykMs5l1txMSUKpW5sVKCxkTsGgwZxrrPmZgpffslderNnWxEeTvDll7bj9I9/aPCPfwBvvWXCsGEXhrg44rguYJ/HwVcNsK+75YmqAQNNXLqy5kIIkJtL46ef5Pj1VzlOnqRhNLr3XdPTgf/8R4mYGBaLF1tw/fUKDB0aBICLIuXznvjSQb6+vsJ5ccx76o1osYEYKQb0Q3FxXLR3N9O+I7dYdXU1srOzERYWhhEjRnRpZtHdBf1bbpHj669tnzNvHouhQ1msW8cd8mHDWrFggRIff0whP1+83qNSEcydy6KujsLhwxROner4Yh08mEVAQD0mT/bH0KEUEhN5QSHoileBD8euqWlGY2MkdLoROH6cxrFjFLKzKZfhzGYzhQMHbI/7+BAEB3PhyadPi19fWen8/t9/547HyJEMIiMJdu60XZIPPhgM4BJs3qzHnDmeDarwND0dtO07QNq7aqqqqkRVA3jB6U5o7YUmLgwDHDokw88/y/HTT3KUlDi/Vq3mrsfgYIKgINvf/I9Gw11zP//Mvf/VV1V49VUVkpMZXHedBUuWUE6lg/hJQHl5OViWhb+/vyA2vbXmMhDpV+Li6b4rLMvi5MmTqKiowKhRo0Sd1bqy3a5YLmYz4OenBCG2ff/uOwtefVUmCMtll+nQ0mLAa6+JLZXISIIbb2RQUkLhu+9ol4M5APj5EVxzDYslSxiMH0+gVFqxa9d+zJkzp9s+6paWFhw/fhw+Pj6Ii4uE2WzG6NEsAO67m0xc3syxYxSOHeMEJyfHWXA4VxpQVwdERxMMHtwMrZbCjh0dV7/MzZUhNxcIDWURFUVw9KjtBr36am5NJjOzDTExF6YlYw9N0+1WDeDrbrlTNcCRC0FcTCbgzz9l+OUXOX75RY7aWtvzKhXB7NkMFiywIC2NQWgoEUoedcR111mh0wG//irHN98o8NtvMmRkcD/r1rHYu1eHIM6QgUajgUajQUREhBAcwLcVKC4uFtocE0KE4ICeIK259JD2cle6gqO46HQ6nDhxAgC61dCLpyuWS2EhhaQk8drH999bcPfdciGyKiKCYOtWbwC2C2b4cBZPPcUgPZ3CmjWuT4lMRnDxxSxuuIHF/Pks7K9ZlqXP/e6e++7s2bPIy8tDXFwc4uLicPr0aaecIZUKGD+eYPx4Al5wjEbgr78obNokww8/0E4uu9JSCqWl/pDLOUtMJiPYsYMWCa89Gg1BTQ2NmhogLo5FXJwJu3bZvuiYMVrExLA4cECHAXq/dQtXVQP4KDR+9uxYeNPV/TNQxaW5GYJ1sWOHXBQ84udHcMklVixYYMWcOVa386cc8fYGFi+2YvFiK+rrKXz/vRxvvaVEaSmNFSvU+Phjo9N77IMD+DbQ6enpUKvVqKysRH5+PlQqlShoo6uL/ZJbrAd4su8KP2uorKxETk5Ol1vrdrTdzti5k8KCBbYLZ9IkFgsWsOfKs9i+Dx8VxvPcc1a0tQF33SWHXu/8vZOTOUG57joG7bWw5o+X4+K3ycT1dKmu5sKGq6v5EGJAp6MQGMiCYapB021ITk6Fn58PKIpAr5eBYTr/zmo1cPHFBBdfbMW77wI7d9L45hsaP/9Mi76L1Uph1y7u/+hoAl9f1imUGQAMBgoRESyamiicPk3j9GkNRo1qgFbrh4MHOUumpITGoEE+ePhhE1au7HkUnyc430EHarUaERERwuzZvhRKYWEhFAqFyIXGD2gDSVysVuD334Pxxx+RSE/3EgXEDBrEYv58K664woqLLmK65Pp1h6AggjvvtGDcOAZz53ph0yYFrr6a+7yO4MeuiIgIBAQECBanY3CAfVuBzlxokrh0E5ZlYTabPdJ3hT9JWVlZqK2txdixYwU/aU9wJ1rs0CGxsDzwgBWnT1N45hnu8AYGEjQ0iL9beLgeU6eqsHatzKmWWHg4wdKlDJYuZZGU1PnAxTAUcnOD8OefShw9qkBVFScijuHCLr4dgMHnfuwZBqWSRUgIV8gyNZVFair3u70eaSoVcMUVLK64goVOB2zdSmPTJhpbt1Iwm23izoUgU1AoCAIDWSgUQHW1ff4L97dGQ2AwUMjJ4bKur77agn37ZKip4Z5fu1aFtWtV+P13HSZM8GwFhYGEq6oBvAuNH9B4F5rFYunr3e0UnQ747DMF3ntPiZKSUcLjiYkMFizgBviUFC5SsbeZMIHFgw+a8cYbKjz4oAqpqQyCgjq+H+0X9B0tTvvW3Pn5+UKEoH0baMeJ8EAWF4r0QaynJ9oPO9LS0oL9+/fDz88PycnJHuvJ0dTUhOPHj2PWrFkun8/NpZCSYhOWRx6x4rvvZCgupqBUcvW6MjPFF8yIEVaUlAAGg1jbaZrggQcYPPMM06nbp6YG2LGDxvbtNHbupIUSML1NYiKLtDSCtDTud0IC6dCnfejQSfz1VwC2bh2MfftcVRMmGDaMhbc3ROssrlCrCa66yoqvvxZPVSMjWRw50neusr1792L06NHwc6er2nmG72vPWzYMw4jaP/eXBL3qagrr1yvw0UdK4Vr29TXjllt0uOUWJYYO7ZsJhNEITJ/uhZMnZbjmGgs2bHB2j9nz119/ISUlxS1BsG8D3djYKCqKqtVq4efnh3vvvRdDhgzBiy++6KmvJPDSSy/hySefxIMPPog333wTADc2P//88/jwww+FFsfr1q3DqFGjOt6YC/rEcqEoqsduMB5CCM6ePYuTJ08CAMaMGePRZk8dWS6FhWJhWbCAwbvvymA0cjP+6GgW+/bZBsyQEIKJE1ls2yZzCvVNTmbx3ntWpKS41nqWBY4do7BtGycoR45Q7a5d9CYFBTQKCoCNG7nvFRLCWTSXXcZi0SLnrpU+PgTz5zfgkUfCkJ5O4fXXZfjpJ9sxIYTCyZMy0DTB7NlWmM3A3r2uL0ujkcLXXysQEsIiJobg8GFuO+XlnKvstdeM+Oc/+2Z23h8GaFfY97UvLi5GS0sLAgMDhZYCnbUa7m1OnaLxzjsKfPWVAmYzdwzj4ljcd58ZCQn7MGZMgqj53PlGrQbee8+IuXO98N13CixaxK3vtEdXosUc+wq1tbWhsbER9fX1WL9+PT777DPExMTAaDSitLQU0dHRnvpaOHz4MD788EOMGTNG9Pgrr7yCtWvX4pNPPsHQoUOxatUqzJs3D/n5+V2uzNwnlgsAUXJkT7aRnZ2NhoYGjBkzBhkZGZg8ebJHy1PrdDrs3bsXl1xyiehxx8X7K69k8OOP3EU1YwaLqioW+fm2QfLSSxloNMDmzeILT6MheOYZBg88wLjsZ2+1Ap9+SuOll+QoK3N/AFMouBwXX1/AxwdQKllYLE1QKo2IiQlEUJASvr6cNVBdTaG8nPupqABKSwGdrut+B7WaYMECbo1o7lwu9+XkyZNgWRYjR44EwLkGfvihAJ99Fobff49wijaTyQjGjjWirk6J0tKOb9Jx4xgUFTkHEhQXt3XqvvAke/fuxZgxY9otIdRfKC4uhsFgEM6FfdWAhoYGtLa2ClUD+GrCvVE1gBBg/34Z3n5bia1bbRf9xIkMHnzQjPnzrZDJgP3792PkyJHw9/f3+D50laefVuHtt5W49FIrvvnG4PI1LMvizz//xNSpU3ss0gaDAX/++Sdef/111NbWorS0FHFxcVi4cCFeeeWVHm27ra0NKSkpeO+997Bq1SokJyfjzTffBCEEEREReOihh/DYY48B4CzfsLAwrFmzBnfddVeXPqfPF/S7S3NzM06cOAGNRiOczJ6W3XeFTCYTQgv52WlREUTCct99Vqxfz92EN97IYM8eFmfO2Fw3L7xgxa5dXEa9PbNnM3jnHavLUvQsy5WMWblShoKCzgd6lYrBxIlWTJsmQ3g4gZcXUFTEhQtnZgKlpXIAwZ1uJzKSIDnZAK22FTExwdBqCTQa4OxZCn/+SaOkpH2BMxq5yLFNm2QICyO47joGU6dqkJjIVXZtbW3FsWPHEBenxaZNPigra8V776mwcaMSOh23XYahcOyYBkqlFZGROlRXq2G1igc4Hx8Ckwk4flwGhYJg0SILvv/edrxjY7V47DETnnrq/Cz4D5QqAo4L+vZVA+Lj40VVA+zXBDxVNYBhgB9/lOPtt5WCC5QrzGrFAw9YMGWKcyqBq1Dkb77htpGf757wff+9HnPn9mwiO2UKg7ffhtPaqeP+AvCIIGs0Glx22WV4++238cwzz+Caa67B7t27UVlZ2eNt33vvvZg/fz7mzp2LVatWCY8XFxejqqoKF198sfCYSqXCjBkzsH///gtfXAghOHPmDAoKCoTQWfvKyJ4uj89fKAzDQC6Xw2IBRo2yzUqeftqKDz6QwWKhMHYsi61bWdTX2wa6r7+24Ikn5KKEwsBAFjfdlIEXXxwOuVx8IRLCNQ177jk5jh0T31gURQRXmI8Pt+4REwPU1gL19bWorQ3C2rUywb3QHTgLxguOZff9/AiGDSOIjiZgWW4BPzeXcpkYCXA+9HfekeOdd4YiPt6Aa6/VYdSoY0hJiUT8OTUdPNiEl14y4dFHzfjPf5T44AMFGhq472w2y1FeLodCwcDf34SmJtsx5wMglEoCs5nC998rkJTEQKkEjh3jjueaNSqsWaM671ZMf6azaDH7qgGEEGFNgA8O4MWIFxvHltbtodMBn3+uwLp1SiHRUaUiuOEGC+6914zExPZcwSzOnJHjs89U+OCD7pc3WrSIu5Z/+EGPWbO6JzJ+ftw+Nje3/xp7V7+naGtrg1arha+vLxYsWNDj7f3vf//DsWPHcPjwYafnqqqqAABhDmGpYWFhQvfPrtBn4tKdGZDZbEZ2djZaWlowYcIEoU4TjycrGPPwFwovWtHRtov8sces2LyZFnqhZGcDDGMTltdft+LOO+Uit83ixQxeecWIEyfKQMhQcBFbHIcOcRFmu3e7vjgJoTBhAov772fAssAXX8jw4Yf82ku48Dpvb4KRIwkiIhqgUjUhPj4EYWFeqK2lUFrKNRCTywm0Wi6+n/shUKu5jpSnT5tQWWlBYKAPysu5ki7NzRQOHbJ9D4oimDiRYMYMFl5eQH09F2DgqoJyUZEGa9ZooFLNxe23Ezz8sBWDB9sGuqAg4PHHzVi2zIzXX1di3TqlIJAWiwxNTTKEhjIIDDTj5Enbepq9iGZnc+s2ixdbsGmT2Ip5+WUjli3r/5FSvU1XQpEpihKqBvDdH/mqAXwOh0ajERV4dKwaUF9P4b33uEX6xkbucwMDWdx5pwX//KcFISHOotLUBKxYocb//qcAML/DfaRpgoULrfDy4ssWUdDruTB7nY6zMurqbPfSVVdxItOdig82cWn/+DEMA4qiPCYufJKmp5Ioy8rK8OCDD2LHjh0dTgwcr5HuhrAPGMulsbERJ06cgI+PD9LS0lwmI/WGW4y/UBiGwZNPyoSbZNQoFtnZFHJy7OsK2f6+/noGjz4qXrh/6CErXnqJASFiwcrPp/DMMzJhzcYVc+eyuPhiFsXFFB56SC7sBwBMn84iNrYEanUwamq80dDA4vRpC06cCIDZ3LkrzBnuJqQoLhpswQIWvr6ARsNlOx86ROH4cRqHDlE4dIh7R2QkV/G4rQ04c4ZCbq7zDWYy0Xj/feCjj2jceCODBx6wIC7ONsD4+gLPP2/GLbdY8MwzKvz0k00kampkqKnRYMoUKyorKZw543ysWJbCpk0KxMcz8Pe3RZ89/rgajz+uRnl5KwZgt1iP0ZM8F1dVA3gXGl81wNfX95xFE4RPPw3C22+rBCszNpZbpL/hBgsc85kJAT76SIHlyzu2hJKTGdx6qwUXXWRFayuFxkbbT3AwwYwZVjiu/bMs8PbbSjz7rM3yvfpqL9x4owXvvddx5Jc97oiLp3u5ANyar6fWkI8ePYqamhqMHz9eeIxhGPz111949913kZ+fD4CzYOyrmdTU1DhZM+7QZwv6fEZ+ZxBCcPr0aRQVFWHo0KEYMmRIuzfI4cOHER4ejqioKI/u644dO2A0zsB119kWbJcvt+L1111rc1QUcVp8f/hhK158kQFFcd9p+/btmDFjBrZv98btt7tOoKRpgjlzCAYNIsjMpJCRYRuwIyO5NY2oKIKsLBpbtjBobHQWXIoiiIjg9omLYON6tzAMV6ZFp+NmfG1tOPdDoanJgtJSgtpa1zd7TAzXK8ZiARQKIDOTEu0/ZzlZYbG0oKjIF62trrPcZDLO0li+3IJhw5zdmTt2WLF8uQxnzogXygMDWcTH26LF2uOii3TYs0c86/vqKwPmz/fsBGTPnj1ITk7u933OT506BYqikJiY6PFtGwwG1NQ0YuNGBT76KFJwY44YYcTy5UYsWkRDLhdf41lZNBYt0ojynOwJC9Nh7FgF6utlyMykRYmUruCsaRbz5lkxd64V48bZ8mEIAd57T4EnnrBd06dOtSE83L3hr6kJiI7mzm9tbStcrdfzXUmnTZvm1jY7gxCC6Oho/PbbbyJB6C6tra1O7q3bbrsNw4cPx2OPPYZRo0YhIiIC//rXv7BixQoAnLcoNDS0Wwv6fSYufB2xjjCZTMjMzIRer0dycnKneQTHjh1DYGAgYjpqb9gNPv/8AP7xj5nC/2vWWPHYY5yw0DQrlF8BgLg44lSw8ZFHrPj3vxlRPsj27Ttw8OAcrF7tXJZGqSS46SYWkZEE778vQ22tbY1hxgyC0FACnQ7YtYsWlcLQaq2YMKEKl16qxLhx/ueEBOhqe4m6ujrk5eVh2LCLcOIEZ6VkZHC/i4vF342mCSZN4ooAKhTA0aPiXi1jx+oRFGSE1eqPv/5yPYhQFOfeeOQRvp4Zh8FgwN696SgtvRirVilRXy9+f0wMC4uFC0Vuj8jIVgCyc+tIHJMmMdi5U99pzSl3GSjikp+fD5lMhoSEBI9ulxBgyxY5XnhBhaIi7lwMGWLFvfdWYMKEYrS2NgtlUFSqIKxaFYlNm1xHU6lUXACJJ/K2goNZPPmkGf/4h22cqa2lEB/P5aBoNATV1W1ubYtlgYAALQihUFjYhtBQ52GTD4RITU3t8b5zn8kiODgYOTk5GDp0qEe26cjMmTOFaDEAWLNmDV566SVs2LABiYmJWL16Nf78889uhSL3W7dYXV0dMjMzERgYiLS0NLcKMvbGmgsA/POfM4S/H33Uimee4WbMoaFm1NTYRu7p01mnAXTFCiuef14sLEYj8MYbKfjzT2dhGTOGxUsvWfHOOzJ8/DF3ehITWdx0E4vKSgqffkqLwoQjIwnmz7cgOvo4Ro9uwJQp48+JcOdzBquVKzAJAMHBEEKhKYoCIQShocC8eQTz5tmOaWMjkJFB4eBBGj/+SOPYMRrp6dS59xGMG6dDZGQbTKYAnDihxIkTXHBAZCRXdaCmhsLvv1MidyEhFDZvVmDzZgVuvNGClStNCA3lXDgyGcHtt5txzTUWrFmjwrp1tuNdUkJDoSCIjGSdBEahICAEKC/3gUJBcMklddi+nXMRHjokg5+fDw4erMPw4coe56gMlGgxwPP5OH/9JcOzz6qEQIrgYBaPP27GrbdaoFQGAAiA1crgv/+14JFH2invYIfJRMGhrJ2IpCTmXBsKFioVkJ9P4+RJGgUFtFMgS10djYcfVkOhAG65hROYkBCCyy6zYutWOQwGCpmZNMaM6TwIiKY5t21zM/fjqviHp91iZrMZVqv1vE5aVqxYAYPBgGXLlglJlDt27OjWPvQ7y4VlWRQWFuLMmTMYPnw4Bg8e7PYNkZ2dDaVS6VGV/+YbGjffzAnbyJFc/kpDgxzx8WYUFYnzXHbvpkU+2ccft+K558TCUlUFXH+9AgcPOs+2b7+dQVwcwUsvyaDTcRn+y5czCA4GXnlFhupqbkNDh7JYuJDFlVeyGDq0BRkZx2GxWBAXF4fY2FgAnBm/fr0Mzz3Xs/nDpEksbruNwfXXs06+cgAoLga2bJHhu+8oHDkivrFGjGAhl5tw9qxc6OmiUBCMGcMN/BkZlFMyKQD4+hI8/rgJt97ahkOH9mHWrFnCNZCVReOee9TIzBR/VlgYt3/FxeLjKpNxLkAAmDPHit9+Ex+Pu+/Ow+23twkRUN0pZf/XX39h3Lhx/d5yycvLg0qlQlxcXI+3lZVF47nnVNi1izte3t4E999vxv33m4V1LbMZuO02tWjtzF1CQlhERtYhPDwA0dEEUVHc+WVZ209cHIu5c7naYlYrcPo0jbw8Gm+/rXRymX76qQELF3LuUKsVCAy0nauWltZO98dqBQYP1kKvp3D4sM6lG7e6uhplZWWYMGFCl7+vK+rr6xEbG4uWlpZ+f225os/EhRDi1D7YaDTixIkTMJvN3XIz5OXlAQBGjBjhkX1kGMDb22a+R0XpUVbmhYQEKwoLbYPQlVcy53JKbAPbk09a8cwzYmHJzKSwaJECZ8+KB1StlmDZMgZ//EHj8GFuG2lpLC65hMXnn9NCnkt8PIt//5vB1VezoCigoqICOTk5GDIkBtnZFrzyynBkZHiuOkF73HMPgyeftAp1xvhy/Xp9ME6dGoUtWxQ4cMB2LKKjDYiPV52zerjHOXcaA5oGDhyQuaw2MGyYFUuXHsSDDyaJInAsFuC115R49VWlKAlTrSZITmaQnt6+QISHs5g0icGPP9oGvLAwMzZu3A2TybYoHRQU5HZex0ARl9zcXGg0GmEC0h3OnKGwapUK33wjByFc1OFtt1nw2GNmwVXU0gJceaWXYM10heBgAxQKFlVVXm5VoAgOZnHddVbccINFcKmazcCTT6rw4Ydif/CWLXrMns1Z4a+/rsTzz3P39pEjuk7Lyxw7RmPmTG/4+xMUF7fBlYFSUVGB6upqjBs3zp2v2ilnzpzBmDFjYLFYer0Fdm/Qb8SlpqYGWVlZCA0NxYgRI7o1gzx16hTMZjOSkpI8so8zZyqQns4NarGxzSgu9kNoKIvYWAiWR3Iyt7hs3+r36aetePppsXvuxx9p3HabXEgW5Bk+nMWoUQQ//MD1b/H15aKziooo4bNDQgiefNKKO+5goVTa+tScOlWHRx6ZhbNn+9a7eccdOXjwQQqJibaco+JiYN06GTZssLnxwsIIJk9mUVtLCeKjUhHMmMHAYuH6dLgaUK680oLVq02IjhZfqu1ZMaNHM2htpVw2jwI4992111pFIcsAcPBgPXx9a4V6TwAEiyYoKKjdrOuu1JPqS3JycuDt7d2tNcn6egqvvqrERx/ZyrQsWmTBM8+YEB/PnZeqKgrTp3uhqsozobjh4W0YPLgNSqUMarUcKpUSarUCNM19/t69MlEwwJgxDJ5+2oRLL+Xuva+/luO++9QwmWy5Ybm5bfDz49aJ/Py4ycD77xtwww0dB3m8+64CTz6pxiWXWLFpk+sM/bNnzwrVQjxBbm4u5s6di+bmZo/mzpwv+nzNhWVZ5Ofn4+zZs0K0Qnfx5JrLiRO2wR0Azp7lLsQ5cwi++sq+kRUrcj2tWOEsLP/9L41775U7DZzXXKNDdbVGEKbLL+dm8l98wf2v0RA8+CCDhx9mwFcWMRqN+N//inD33SlufY/oaIK4OCKKFouKIggP52Z4Oh2E3ACu3THQ0GDGoUO1aGyMxoEDndcw+/jjUfj4Y+7vLVssuPRSToBfe43BbbeV4uOPafzwwxCUl1P48UcZNBqCsWNZtLRwbqwdO+Tw9SW48koriopoZGeLxeLHHxXYsUOORx4x41//Mgsl1kePZvHHH3q8/roSa9YoBfdXVpYMAQEE48YxOH7cecZHCBeynJLC4NQpW1DE5MlBeOstb9x2m60bZH19PSoqKnDy5MnzUhqlN+lOKLJOB7z3nhJvvqkUwopnzLDi+edNSEnhZvunTtGYMMGzVUMjIhioVAx0umA0NrIwm1lYrQxiY+tw6aVNuOwygtDQABw65I8vv1Tgl1/kyMyU4cYbNdi2TY8JE1hcf70Ver0JDz7IRYi1tnKu2zlzxB4F+7D+9ti/nzvXU6e2P754usUx34Wyv9at64w+tVyampqQkZEBABg7dmyPk4VKSkrQ0NCAlBT3Bt72sFoBrdY2S509uwa//x6KyEiC8nLbiV6+3Io335QJg9qkSSz++MMiMpn37aNwySUKkftGqSR44IFT2Lt3CNLT1fDyInj1VSs2bZLhzz9pUBTBrbeyeOYZK3itJQR46SUjXnih44i5pCSumdgVV7AICyP4/nsZ/vc/WhTG7C6+vgQzZ7KIi+PCmZuagKwsSlR4sj1UKoKjRy1Qq8tQWVmJ5OSJ+O47Gm+9JcPx47ay+iNG2Pq3AJybIzaWoLCQdnnTjxvHYP16I4YPF7sx2rNihg1jnMqEKJXcmo/FwvW0mTmTEZWPmTCBwW+/iaPJ+NIo9fX1aGhogMVigb+/PwIDA1FcXIyUlJR+7xbLzs6Gr6+vWwUQLRau9P1LLykF62DMGAbPP2/C7Nnc4HzwII158/qmFLWXlxVTplRi9uwKzJrFQiYLxsqV0di2TYXISBZ//aVHSAhBYyOQkKAVwpifeYarCAEAvr7c+eqsVBC3vuONhgYau3bpMGmSaxca32TPU275P//8Ew8++CCKiooGpMD0mbiYzWbs2rULgwYNwvDhwz2i+GVlZaiqqsLEiRN7tJ0XXzTj3//mLrzbbrNg40a508LzqFEs6uspVFXZwoQPHrRgxAjb4ayoANLSlMJreN55x4IPP9QjK8sPPj4Er71mxauvylBYSEOrJfj0Uysuv9x2Af/0E4XFi9uPJ549m8X48eUYPdqMDz+Mxd69vWtCz5lTjhkz9GhsHIIff5QL4aft8eST+Xj22RgAnEj+9ReFlSvlgmssOJjFyJEszpyhceYM99iwYQyCglgcOOBs8alUBM88Y8K994qF3GIB/v1vJd58U+y+Cg1l4edHUFDgXDTUYKBA0wS33GLBhg3iY3zmTCscikCc+w4Eer1eEJqGhgYolUoEBQUhKCgIAQEB3W433ZtkZWXB39+/0zywHTtkeOIJlXC8YmJYPP20CddeawVNA7/+KsP//V/3Ort2F4oiSEpiMXQoi0OHZCgrs11z//xnFf7v//JQXW3Ao4/OwNmz3khNNeCHH4xQq+X4v/9T49dfufMxf74FX33FJU/y4nL33Wa88kr7IWonT9KYNMkbGg1BWVlbu6H9hYWFYFnWYwFFP//8M1avXo2srCyPbO9802eOPKVSiSlTpmDkyJEeMyV76hYjhKCkpEQQFoALZ3QV0VRVRYlE4+mnGZGwmEzA0qUKJ2F59FErPv1UhqwsP/j6MnjsMQaPPy5HYSGNqCiCP/6wCMLCxdYrXQqLRkPwwgtWlJWZMHo0i1dfjcLNN8f3urAAwG+/ReLZZxPxxhtKFBXRuP56Bk89ZUVysusZ3erVw6BWq7BmjQwUBcyYQfDbb2Z8/rkBcXEM6upo/PWXHAoFzrWqJcjPl+HwYTmSk2swYoTYH24yUXj6aTUuv1wjyilSKIAXXjBj0yY9AgNt+1JTQ6OigkZamng7BgMFjYaAZSls2KDEZZeJnx8yxAcHDjhbaRRFwdvbG9HR0UhOTgZN04iNjYVcLkdxcTH27t2LI0eO4PTp02hubvZ4vbvu0plbrKCAwrXXanDttV4oKJAhKIjFmjVGHDmiw3XXWfHtt3L4+vqcd2EBOFdmVpYMP/4ox6xZVqxfb8Ctt3LWxocfhiM/fwouuSQVH33UAI2GwYEDGjz+eDmOHj2KGTMqhO24CjLorKke3zZj0iSmw5wxT7vFBnKjMKAPxQWAxw9cT8TFYrEgIyMD77xje/+TT1rbdQHV19suyJQUFg8/LP7c5cvlojUbALjuOgY7d3IRYb6+FlxxRStWruRKykyaxGLvXjNGj+YE6tAhCl5eKqdaXXI5wYoVVqxfb8Wzz8oRFaXCW2/17dLZ11/L8OKLcmRk0Hj3XQvuu8/14uhzz8mhVqvw8MPcMb3ySisOHtTh5ZeNCAjgXGG//SZHRASLoUMZWCwUjh8Pg9FI4eqrLfD2FhvZBw7IMXWqNz7+WAF7+/uSSxjs26cXiYlOR2H/fjmmTbNCrba92GDgQr4BYOtWOeLjWVx+ucVuW1749787zkKlKAp+fn5ITEzE5MmTkZaWhoiICOj1epw4cQJ79+5FVlYWysvLYTS6X3LE07QnLs3NXHTV5Mne2LFDDrmcCyvOyNDhnnss+OsvGXx9ffCPf3g2EtHbmyAlhcHSpRa88IIJX3+tR0ZGG+rrW5GRUYpPP92H3bt1+OEHPf7zHwNmzLDCYqHw6adKLFumRmAgwSOPcBbH/fersW+fCmlp/njySe78lZcnIjw8HGPHVgufWVlJ4/jxauj1euGxzhI2eXFJS+t4bOlKLxd38GRdsb6gz9xiAOca8+TH19XVITc3F9OnT+/S+1paWpCRkQGNxgsXXTRVeNxVUqS3N4HVCiECRaEgOHDAImpHvGEDjXvuEbtFpkxh0dwM5OXRCA4mSEhoRnq6PwCumOWHH1qh0XBuo9GjFSgsdNb9e++14rrrWMyY0f0KseeLtDQWs2ez+OwzImo/YM9DD5nw/PMmUBSFxkbg9ddV+OADLhpJrSZISmJQUMCguVl1bptW1NTQLo/N3LlWfPihEcHBtvNgtQIvvaTEq6+K3WRDh3KBEydPigcCPifGy4tg6VILPvrIdpyjolhkZ+tcZvXv3r0bEyZMcDkQEEKEwICGhga0tLRAo9EIEWjnMzDg+PHjCAsLE4JmGIZbV3nhBaVQ4PGSS6xYvdqIxEQihN96CqWSICaGhb8/1/rbagWOHJE5De4jRjAYP74NkZHlWLx4CBISbGVcDh6ksWaNLb/myy8N+O47Ob77TgF/f4Ls7DYcOybDlVd6ISGBxbFjOlRVURg61DaR/e9/DyMwsBILF14JAFi8uAUffGB16cokBBgxwhsVFTR++kmPGTPaF5iurGm5wzvvvIODBw/ihx9+8Mj2zjd9arl4epGqq5YLIQRlZWU4ePAgIiMjcejQJOG5u+5iXJYriY4mgrAAwBNPMCJhOXyYwoMPii2JpCQWVVUU8vJoDBpEMGcOKwjL009b8emnnLDU1gIajcpp8LzqKga5uSZkZNADQlgAYP9+GqtWyXHmjAK33lqM2bOdXUNvvqmCn58vdu+WISAAWLXKhMOHdZg1ywqjkcKRI3J4e1swZYrl3DblaG0FZs60Qi4XT0p27ZJj2jQvUXKqXA4884wZP/ygR2io7fNPneJCWCdNEl8rDEPBx4dAr6fw0UdK3H67bZG3rIyGn59PhyXXXUFRFHx9fREbG4vx48dj2rRpiIuLE6Ik9+zZg+PHj6O0tBRtbW29nu3P33P798swc6YXHnhAjbo6GomJDL79Vo9NmwznstF9PCosAFfF+tQpGQ4dkmHbNjl27ZK7tBry8mT4/HM/rFkzEhMmeCMtzQt5edx5nTyZxfffG/Cvf3EWy8MPq/DyyyZERXGBIYcPy4QEx+JiCmazs2Vy+eXDERJiq7oxe3Yu9uzZgyNHjqCoqEhoOQxwkXAVFTTkcoKJEzu3XCS3mI2BFzzdAXK53G1xsVqtyMrKQkFBAVJSUhAdHY/ly20zF768vEJhu9mHDmVRU2NfN4vFo4/aPq+mBvi//1OIylAkJLAYNoygpITCoEEEDz/M4JtvuMP+7LPlePppLvKmshKIinLOo1i1yopLLmExcqTKZQ/6gcAnn8Ti999prF1rwdSpziKzYIEXfH19UF8PxMYSbNliwHvvGeDrS1BRocXRo3LMmWPFkCEsqqtp7N4tw4wZDGJjxduqqKBx2WVeePddsZts1izOTTZlis1N1thI4fBhGqmpYhdeayuF8HBuu//9L9d5MCjI9jlRUT5CtBtPVwSB75kyfPhwpKamYtKkSQgODkZjYyOOHDmCffv2ITc3F1VVVU5Jxj2FEILKSgVuvVWNSy/1wokTMvj5Ebz0khHp6XqMG8ciPFyLceP614CWmyvD5Mne+PJL26Tt8cfNSExkUFVF4/nnVcLAn5HBNcvz8eGs0OJiWiQukZFcpv9bb9nWjZYuHYWpU6ciMjISRqMROTk52LNnD06cOIE33uBEbO5cq8sKFfZ4uvwL38tloDIwR6t2cNdyaWtrw4EDB2AwGJCWloagoCDs3Gk7FHPnsjh+nIZaTUSVWEeOJKK1lg8/tAo5F4QAt92mEIUqBwYS3H8/I+SxPP64Ff/+N5coeN11tbjmmnoAODeoioVFqyX4+msLnn5ajmXLPB95pFQSKBQEQUEEsbEEQ4YQeHn17qz54YcV2LePxmOPWTFihLPIxMb6YM4c7g6+8UYrDh1qw6RJlbBYKPz2mxwUxZVdJ4T739ubYN48sThYrRSefFKNG29Uo6nJ9nhYGMHPPxtE1gghFA4ckGPiRAbBwbb9qaqiER7OQi4n2LZNjtBQgquvtq3DzJjhjU8+6fk54XumREVFYezYsZg+fTpGjhwJpVKJ0tJS7N27F4cPH0ZRURGampp6FBig1wMbNgzBpZcOwfffK0BRBLfdZsbx4zrccosFU6Z4IT5e67I6d3/h7rs1ePpp7j7RaCCUzP/8cwViYrhjk5FBg6K4SR0AFBTQOJcPC8D2+Dff2M4fRXEdFwcNGoRRozihGT9+PGSyIGzezIX+T59+vFPR9/Sai16vH9BrLheUuNA0DUJIhzdhRUUFDhw4gLCwMEycOFFomnPjjbZZUUEBd4NFRtoG29TURuzZYztcTzxhxdixtud37aLw22/iw7l8OYOXX+a2e9NNDN5/X4aWFgppaSwefbQSDMOgqYkgMlIsLCNGsNiyxYLrr+/5ABYdzVUsjo0looVss5mCxUKhvp5CcTGFM2colwOLlxeBv79nRWfNGjny8mg8+qgJPj7ibR8+zBWV3L9fhkGDCJ544hA+/LAFQUEsSkpo5OZyUV9+fgTZ2TKkp8uwaJFF6LfB89NPCkyf7o0TJ2znRKkE3nzThDffNIos0sOHubbM9m6PqioaWi0XlZeXJ8Pu3TIsX24LV33gATVuvdW9TozuQtM0AgMDkZCQgEmTJmHq1KkYPHgwjEYjsrKysGfPHmRmZqK8vBwGg+sscUcIAb79Vo4JE7yxcWMMjEYaU6dasWePHq++asIdd6gREeHjFKbdX3n7baVQmXvyZBZhYdy9zncbzcjgvgffoM/Li4gsl/h48diweLFzfUOKoqDVavHHH7EwGGQYMYLBkiVhItE/dOgQCgsL0dDQIExoJbeYmAtqzYUvGePKemEYBtnZ2cjLy0NycjKGDh0qXAhWK0QD65kzXPMh+/yNwYP1gtXi5cUVlOQhBHj+efE6y7hxLI4d49oAJyZyay4nT9KIjCT46isL1GoaLS0swsPFA9TVVzNYt86KuXO7v7YydSorlMAoLaVQV8cJiNHY9eOt11NOPmuaJtBoei44r76qQkwMiyeecM4xuPRSLyQkcDfWVVcZcfiwHvPnW2A2c1FfcXEsRozgyrx8/70CI0cywqyUp6SExty5XvjmG/G5uf12C37+2SBah8nJkaGighJZQk1NXIVef3+ChgYab72lFKKTAOD77xUIDNSCZT1/LQPi2fS0adOQkpICX19fVFdXIz09HQcOHMCpU6dQV1fnsjdSRgaNSy/V4PbbNTh7lkZoqBHvvFONX34x4IMPlAgO9sEff/R5kY4u8/HHtnsjIoK7DvnGiqWlXKUJXoBGjWJFa5jx8ayokd1jj7m2QqxWYP167nOWLbMgKMgm+tOmTcOQIUNgsViQl5cnrJuZTCaYTCaPrZsN9GixC8pyse93b49Op0N6ejpaW1uRlpaGkBBx6e/XX7fN2vgCdsOG2S6QKVMM2L7dVmP75ptZ2E8ofvmFxpEj4kOZmsriu+9kkMm43vM7d9JQKjlhCQsD2toYzJwpbgC0dCmDm25iMXt214UlONiK8HDOTbBvH41t23pvJsqylMt2xt0hK0uGl15S4d57zZg8WXzeamtpXH31VcjOliM4mODLL41Ys4azOo4f56zAefOsoGmCAwe4ENrp051zYv7xDw1eeEEJe4M2NZXB7t16jBtn+8zychr79skwf75tNsuynLjGxLCwWim89poKd95pG5CsVgoLFy5wq4RIT6AoCj4+PoiJiUFKSgouuugiJCQkgBCCgoIC7NmzB8eOHUNJSQmKi3W47z4VZszwwoEDcmg0BE89ZcKGDQdQWSmHv78PPv+8/yV5AlxViM7YuFEBPpI4IoI7qYcOcdf74MEEBQVcblpgIIvQUIJff7UJaHw8izVrbPdXewUrf/1VjtJSGoGBLK67TmzdKJVKhIWFYcSIEUhLS8PEiRMRHBwMhmFQUFCAvXv3IicnB5WVlTB11D+gEyTLpR/B96+2F5eqqiocOHAAgYGBmDx5MjQa51h9+9pgRUXcIMG7xgDON9/SYrsZ//lP2/ZZFnj+efFAPn06K9QfS0kh+OUX7jC//bYVkyYRVFZWITV1rOg9U6eyGD2aYNGirt30CQks5s9nUFcnR1WVZ90055N165Q4eFAmRAHZM2dOIObN49Zi7rnHgp079YiJ4Xq4/PEHVysqIIDg5EkZ8vJoLF5sEbm9AOC111S46SY1dDrbY5GRBNu26XHNNbbBQ6+n8MsvCqeEypISGsnJ3Hn/z3+UWLDAgpEjbdfBiBGhTgv9vYlcLkdISAiGDRuG1NRUTJ48Gf7+oVi/XovU1CB8+qkShFBYsKAF6elNmDiRwfz5s7B6ddB528fu0NJCuXRV2dPcTGH3bu7+GjSIO89793L/x8XZLJORI7m24Dk5tvtzyhQGmzd3fo+99x73mttvt8DFkCHAJ9RGRUVBJpMhJSUFo0ePhkajQXl5Ofbt24f09PQOLcz2kNZcekBvuBL4RX2WZZGXl4fs7GwkJSVhxIgRLv2hZWW2v5OSWKFOmH1UWG6ubaYzdSqLkSNtA9f339PIyrJt18uLoL6ei0YaPZpr8EUIhTvvZHDzzVacPHkSixaJw07i4gguu4zFE090zUUxdixn8v/yy8Dwl7vDG2+ocN11FlEiIwAcPMitxTQ1cUmre/bocPXVFlitFHbulCMmhkV8PIvaWhqbN8tx7bVWYVbL89NPClxyiZeo5YFGA3z8sVHk7gK4hMq5c62IjLRtIyNDhpQUBioVwU8/KaBWA3fcYbNiPLXQ3x327PHBtdcOw7p1sdDrFUhKMmPDhgIsXpyDsWMDsHDh+c+q7y5cUdGOe6zw6QC8y5avhBEXxwphyyNGsCKr5aqrLKKAnGefdW1VZGTQ2L+fs4TvvLNjobOHYRgoFAr4+/sjLi4OEyZMwEUXXYS4uDgnC7O4uBgtLS0dutAky6WfIZPJoNfrcfDgQTQ2NiItLQ3h4eHtvv7OO22DQUKC6xPd2mpfx8g2W7VagRdeEA/so0YR5ORwkWYXXcTi7FkK4eEEzz+vw+HDh5GRocPx4za3nExG8PrrVjz9tPvCMmECN+DZL1ZfSHzzjQK//qrAqlXO2ezR0T7Yvl0GPz/gk0+MeOMNm5uMpglSU62wWil89ZUCI0dy6zL2ZGZy+R183xyA6zL47LNmrFtnEOXP7NrFidaECbZtHDvG5VH4+xMcOybDzp1y3H57tvB8byz0d8SpUzSuuUaDxYu9UFhIIySExbp1BmzdasJTT8Xj5ps903L3fHPsmA/CwtoPxebnifw9wNcMjYtjceIEd09ygTG2+3vpUgtmzLBZAv/6l+vtv/8+N5lctMgqWEadwbIsCCFOE1g+9Jy3MKdMmYKwsDC0tbUhIyMDe/bsEao32AdpEEIkcelvEEKQlZUFX19fTJ48GV6dBKf/+aftEPz+e8eHIySEYOFC20z2f/+jceqU7T0xMUTI4L79dgbff89d5A880IoTJ/ZDrVbj1lvTRNv84QcLrr7a/dnu4sWM0/rOhcrTT6uxcGER4uPFroTFi71w7bUaUBRwxx3c4nxwMIuCAq7451VXWUDTBLt2yaFWA9Omid9fU0Pjiiu8sHWreGJw001WfP+9QRR5tm+fHCYTMHu2bRuZmTKEhbEYNIhFaSmNr78ehjfesGVXfv+9AiEhWvRmSbGmJuCJJ1SYMsULO3fKoVAQPPigGUeP6rB9uxxRUT6oqOh/18m0aVa8956hU9cXAAwa1L64yGRAayuExXo+EtLLC4LLbORIVliLATiXGN9eYdYsq8uGX9XVFL79lpvo3XOP+3lGfIRqZ6HIGo0GkZGRGD16NC666CKMHTsWWq1WFKTx3//+F59//jksFovHKm2///77GDNmDHx9feHr64vU1FRs3bpVeJ4QgpUrVyIiIgIajQYzZ85ETk5Ojz7zgnGLsSyLU6dOwWQyYfDgwRg1alSnJ9p+re2SSxghfJHHMQv8llsY8P2iLBZg1SqxtbF0KYNDh2jhfVVVFAYPNmP48D2Ii4vDihXiBfx//Ssfixe7Lyzx8Sw2bbpwXGDusGVLPGpqgBtv1Ise53rA+MBs5hbn//xTj9GjGdTW0ti6lXOL+fhwFk11NYVFi8SDmcFAYckSDTZuFB//mTMZ7Nypx5AhNmXIyuJE68orbdvIz5dBJuPOiU6nwKOP+mLtWpulZTJR8Pf3EeXaeAKGAT75RIGUFG+sW8d14rz0Uq5GW1AQQXS0j6jLZn9j7145li3TICGBxalTbR2+NiOj/Vk7RXGh6HzF7KoqGjRNcPo0t5g/eTIjrJ8CXOXj226zLZ58/rnrUO716xWwWLj3jx/v/uyAX+ftSigyX5MuNjZWCNJITExERUUF1qxZg7KyMtxzzz149tlnsWfPHpdt4d1l8ODBePnll3HkyBEcOXIEs2fPxlVXXSUIyCuvvIK1a9fi3XffxeHDhxEeHo558+ahtbXzFtDtQvoQhmGI0Wjs8U9TUxPZvXs32bVrF/n999/J6dOn3Xrf669bCBdITMgdd1iFv/mf4GBW+JuiWHLypO29H3xgFr02IYEhS5dy27j0UisJCODe+8gjJ0hlZSU5edIoev348UayZEmx02dKP+3/LFuW6/Lx/PxW0tLSQioqWsiCBbbzcumlFhIRwRCAkLAwhtxxh4nI5azT+594wkiam1tIS4vt59SpVjJqlPiaCAxkyE03mUSPabUsiY1tEv5/5BEjGTNG/L4DB9pE2+7uz9atOtG2hw61ku++05Fvv9X1+bmx/4mNZcjNN5vIiy8ayNdf60hWVit5+mmj0+vGjbOSysqWbn1GenobWbPGIHpszhwLSUjgzve77xpIYqLtWP35Z5vonLk6vrm5rUSj4a6Pzz/Xd+ncVFVVkR9++MEj57mlpYU0NTURuVxOXn75ZbJ06VISGhpKHnnkEY+OvwEBAeSjjz4iLMuS8PBw8vLLLwvPGY1G4ufnRz744INubx+e2Mnu4glxKS8vJ7/++is5dOgQaWtrI3v37iUFBQVuvVehsA00Q4Y4Dzr8hQoQMn58JdHr9cJ758xhRK/9xz+swvZmzTKfu8naSENDMzEanW+sV15pcPtGksmc9+3v+vPQQ6UkKMjg9PjWrW3nbsoWsmKF7XjPmmUhw4dzg4y3N0uWLTMRb2/n43nrrSbS0CC+wc+caSFTplhEr/P2Zsndd5uc3j9pku2xa64xk3vvFb/mv//t2mBl/5Od3UoWLbKJpp8fS15+2UAOHmzr8Fj1l5+ICIa8/baB1Ne3kOLiVtFz27fryOOPO98fnf00N7eQGTPE5+Yf/zAJ5+izz/TC48HBjOgzjh5tdXmc+WM8darFabLR2U9FRQX5+eefPSYulZWVBACpqqoSxsq2tjaPjLtWq5V89dVXRKlUkpycHFJUVEQAkGPHjoled+WVV5Kbb765258zYN1ihBAUFRXh2LFjSExMxOjRoyGXy90uAUMIhNIuCgXBmTPifVEoiKgXy6WXlgh+1ZYWruGVPc3N3PZiYizYv5977qWX5PDyUuGLL8SH+aabGKxY4aILlQuCg4kQwSYBvPlmFKZPl2HaNLE//LLLvPHssw2oq6vB44/rsW6dATIZwR9/yBEYSDB5MgOdjsL69QrccINF1O8FAD75RImbb1aLXKUBAcCWLQZccom4dP9//6vAgw+aQVFEePzQISVmzeIKan73nQJHj9JYt87mern9dg0efdS5dlxH6PXAiy8qMWGCN77/XgGaJrjjDjN279bh9deVmDx5YISpVlTQeOABNebP10CrJWhutrlaLrnEC9de6354LgBcd50FRUUUdu+2uaW1WoKGBu4+WbjQijfesEV4PvywGS+/bDv2iYm288azb59MOMZr1phcVr/uCE9n5/MtAfhQZJqmexyWnJWVBa1WC5VKhbvvvhubN2/GyJEjUVVVBQAICwsTvT4sLEx4rjv0vxU/NzCbzTh69CjKy8sxefJkREVFCULlrrgcO2a7epKTnS+2GTOIsPjn60uQklItbHfXLlpUcywpiRWCAXQ6C0wmOSZNYnHVVdzzd9wh9oHzPVs6IziYoK5OEhZHNm9WIDtbIUpmBIA33xyCG27wxZ49ezBy5EG8+eYZqNUs9u/nFuUvvdQKhqHw4YdKLF5sxeDBYoH5+WcFrr9eA7tWH/Dy4sq6L1li83ebzRTeeUeBBx6wYNAg2zb++EOOOXMY+PkRpKfLsXatCt99Z9vY+vVKjBvnDdLJ6SeEK9kyfrw31qxRwWikMG2aFbt361FZSSE5WYva2oF366any/H00ypQFHDXXbZz55iT1BmzZ1uxcaPS6bHt2zmxiY1lhaZgFEWE0jAA8PXX4rU7gFvHWrGCE5/bbrNgzJiuR2J4uq5YW1sbaJp2mZfXXYYNG4aMjAykp6fjnnvuwS233ILc3FzhecfJPiEdN5frjAF3hTY2NmL//v2QyWRITU2Fr6+v6HmZTOZWotKOHbav3tLi/Lx9xNCUKSxkMtuiHZ8UycMwXEHL0FADGIYLQ33iCa7acVGReLsrV1qxYkXnYcd+fpKwdERTE4X//EeJV14RhysfPBiC2267AuHh4Rg3rhz//vd+aLVmZGTIkJ/PYsECblBbv57rPDlsmHgi8vvvclx9tUZUWl+hAN5/34j77rMNiCxL4a23lLj6aivi4pqEx7dvl2PSJAaDB7MoKqJx111q/PijbUArKuJK97dXGuz4cRqXXMKVbCkvpxEdzeLTTw2YPZvBRRd5C+16Byrr1ytx4gQtCgN2DKTpjKlTGXz+ufgeamujoNNRSEhgsXWr7bm1a0246y7bAH3ZZc4Tz08+USArSwZ/f4Knn+5eJWpPV0TmS794MuhJqVQiISEBEyZMwEsvvYSxY8firbfeElI1HK2UmpoaJ2umKwwYtxghBMXFxThy5AhiYmKQnJzssrmPu5YLX/YeAE6dct6PkhLbY+PHE8hkMrAsC4YBtm+3vVcmIygv5z4vNVWBhgYafn5czxYAGDXKZo4rlcSpwKIrIiNJp61XJThWrFDjvffEI3VDA40RI4Zj9OgxuPPO0diypQ7h4WYUFytx6JAFF19cCYDLtJ8yhUFKivh6OXBAjiuv9EJ9ve0xmgZefNGElSvFiXfvvadEYmIj5syxPb5zJ9fRcuRIroXz9ddr8OWXBlHp/rAwH5SW2s5xTQ2F++5TYeZML6Sny+HlRfD00yasWmXCzTdr8MILXXOp9RWvvGLE9u3O1oE9f/whtiaKi90fhpKTGRw5IkN9ve09/v4Ehw9zA/u0aVYcPcr9rVJxDc94XFktDQ0Qju1TT5lE+9UVeqtoZW8kmvMQQmAymRAbG4vw8HDs3LlTeM5sNmP37t1IS0vrYAsdMyAsF4vFguPHj+PMmTOYOHEiYmJi2j3ovAh0Bp/FCwCEUIiOtl1UISEER4/anp84kQhlZQ4epEQWRUREG1palJDJCAIDuccvu4yFUgk4VuZevZrBv/7V+czTvmy/ROcsW6bBu+86J1z6+fmAomhMmuSDXbvMiIlhUV3tjezsYFx9NTdL27hRifDwBowbJxao48dlmD/fS3SuKYrz37/zjhE0bbtetm+Phb8/EdWg2r1bDq0WSE21wmCgcMMNajz+uFnkXktK0mL7dhneeYcLLeZLtlx3nQVffWXAqlUq3HyzZ1sL9zYrVqhxySVeqKlpFcrgO7J9ezMOHDgi/L95s/sz/uXLzfj4Y/E9pNEQtLZSGDWKERIoAWDNGhM++8zmPnNltaxerUJjI4WRIxnccUf3Q317o8VxZzl6XeHJJ5/Enj17UFJSgqysLDz11FP4888/ccMNN4CiKDz00ENYvXo1Nm/ejOzsbNx6663w8vLC0qVLu/2ZfS4unSlzc3Mz9u/fD0II0tLS4O/v3+Hr3XWLOVJta7MNx1pz48ezgmj9+qv4kMXFcRfvuHFESMi88kruprr4YvFN4M7aWHJyL2beXcDcd58a69cboNWKZ55+fj5gWa71wLZteiQksKioUODgwVDcdx93on/9NQRhYY0YNapO9N7cXBkWLNCISoYAwC23WPDpp0YolbbP+u47NVpbKdx9t21GcegQV1zz8sstIITCo4+qERJC8PbbNiFcvNgLTz2lRksLhXHjGGzapMeOHXJcddXAKdfiikmTvHH8uM7lcypVCI4dSxL+37zZ/UKtGg3B3r02t5e9+/jSS604fpwb4H19CZ580mbt5ec759Tk5ND46CPuHl2zxgR5DwpE93e3WHV1NW666SYMGzYMc+bMwcGDB7Ft2zbMmzcPALBixQo89NBDWLZsGSZMmIDy8nLs2LGjR0mcfS4u7UEIQWlpKQ4dOoTBgwcjJSUFSmXnF6E7bjH7p8PDuQHCvnWxvQ84KoogLAyC5fLTT7b3ajQEoaHcFRkQwJX5VqkILr6YE4j0dHEDstde6/zqzcjot6ek33PXXZwFw/f44PH35wQmIoJg61Y9hg9nUFFBY9MmLuoLALZti8D48d6YOlU8IObkyHD55XJUVYnN0CuvtGLTJoOo9cDWrVyfGvsWAjk5MmRlyXDTTdz7335biQ8/VMDb29n9EhhIsHixl8vWvwONkhIaZWWuv0dEBIUNG7peQPPll41YuVLsHqRpCEmPH31kGx/uvtsstNG4+GLnMi6EAI89pgLLUrjqKgtmzHC/PborPO0W83QXyo8//hglJSUwmUyoqanBrl27BGEBuEn+ypUrUVlZCaPRiN27dyMpKamDLXZOvxzJrFYrMjMzUVRUhPHjxyM+Pt5tBXdHXPhQYQBISurYxzpxoq2sQ2ZmK/LzbQIxbhzBiRPcthoauMfmzuXK8dt/BgDMmiVZJOeDW2/V4MUXTU5FK/39fUAI15Hy118NSEpiUF1NY9MmudAE7NNPNRg+XIE5c8SWb16eGpdeKsNvvx0TdYWcNYvrO69W216/ezfXG37NGpt1UlZG4/vvFbjxRs7tkp0tg07nfD3/9tvA663SER9+6HoyOGgQizNnuj70mM0GZGfbrANvbyJUQAgJYYV1ypEjGbzyik2EvvnGOXrihx/k+OsvOdRqglWrul8Wn6c33GIDuSIy0A/ExVE0WltbceDAAZhMJqSlpSEwMLBL23NHXL75xnYRuIoUs2f8eAJCCMxmM37+WTx7DQ4mOHWKBkUR1NZy32PBAm5Qu/de8UCxd+/An40OFP7xDw2ef96EqCixwPj5cQITHEzw448GwYL59lsFHnuMG2A+/liJYcNYp3pkp0/745lnJqO21oKsrCzs3bsXWVlZiIsrw3PPHYBWa/usw4dl+OwzhSjQQKej+m0PFXeRybjCoOvXG9DQ0IqPP+64G+Yff7gebLvjfvq//6vEW2+J159YllsvTU5m8PPPtmMbFWWbML7/vgGOBkV9PWe1AMCDD5oxZEj3FvHF+9I7brGBTJ+Liz3l5eVIT09HeHg4Jk6cCJWq6xEy7oiLfQKkffl1VyQnm3HkyBFYLBYYDBGi5/ikLR8frgMeTRPMn88NMvYBA4sXM05FEh3pbpSKhGvuvFOD114zOuWyOApMfDw3i/72WwUef5wTmPfeU2L6dEbU9hgAsrPVeOKJFIwePQ3JycnQarWorKzEiBENWL36MHx8rHavlWHtWpVTLs5AhmEoHDggx113aXDbbWpceSVX06w9XARzQqsleOmlrt/XYWFBqK8XV5s2GCjQNIvTp233zp13moV8FwC44QbxJIEQ4MEH1aispJGYyLRbGbmrSC2OnekX4sK3ID558iSSk5ORmJjY7YUsd8QlP9/2tSsrxc/Z+9ApisBk2g+5XI6AgABUV4tvCt4Vxs/EJk0icGhyCQC46qrOXWKOi8Z9waBBBEOHsk7tgvsb7ibdXX+9Fz74wIjgYGeBAbj1tp9+4opUFhXR+OknOR5+mBOY1atVuOYaC8aOFV9LR4/KcM013gB8hYKDADB3ri/eeScPPj62waqwkMZ//tP9dtX9mR9+UGDdOiVGjGj/WikpcR5eHDuFusOqVUZh4d2RyEgGLS3cDUjTRHS8jx1zXsT//HM5fvxRAYWC4OOPjfBUQFZvuMUkcekher0e6enpaGtrc9mCuKu4m+fCw1dV5fHzs/09eHAbRowYjOTkZMjlclRUiC8evrUt38ebb43smDdz8GDHwuFOa9feYu5cFrfeyiAykqCyksKpU7RQxtzf34rLL2dwzz0MbrnFiOjojqvYni8sFsrlgrgrrrjCCxs3GuHlJX79RRdxo8rgwZzAhIezyMmR4cgRmZA9/tRTKvzzn2annjCHD8tw7bUaUVfLkJAQLFoUgy1buh/OOtD44IOO3XyuAhO6mgSq1RL89Zfc5RpVZCSLsjLb9q64wrZ2kpJSg6qqPcjNzUVVVRXMZjNOn6awYgVn/Tz9tNmjkZmSW8yZPheXwsJCBAUFYdKkSR4pddBVcXHEx8c2CI0YoUBsbCwoioJMJkNFhe1CViqJEFo8aBD3Oy6Oe+8//2kzyyMjCd55p2Mnc1czlHvCwoXiY7NrF41PPpG5zK1papLj119leP99GTZuVKO0VIukJE6M7P3afYFOR7ltwcyf74UtW8TrAydOyHDvvZwlGhND8O23Bvj4cANZXR2FpUstYBgKDz+sxooVZsTHiwei9HQ5brpJI+QyMQyFL76QD7i8lJ5QVUWLSuV0hqMF6Q433WTBjh3O949cTkQThiuusODHH21us99+U2HUqFFQqVQoLS3F7t37sGQJV19uyhQj7rvPOS+qJ/RGbTHJcukhY8aMwfDhwz12YnhxIZ0VcGoHmrbNzv38bGLCsnLU1toucn9/zuoJCCBoO/eW2FjuM+1DkFNS+oeL6dVXrXj+eSu2bOnZ7Co7mxOjsjIKl13GCGHXfYHFQolyTTri4ou98Ouv4pHws8+UQkLemDEsPvvMIBSeDAggmD/fApOJwgMPqPHii0ZER4u/665dctx9twa7dw/G1Kn+uOcermRLeHj/OOfnA/tmeZ1RV9e1e3zmTAs++8y1pTNqFNccjsd+QT8rqw0yGY2AgADEx8dj0qRJSE+fi7w8P2i1Vtx1137s378HmZmZOHv2rKgDZHfxtOXS1tYmWS49xdPlDfgT3F6Wvr1RY7++wuPjY9sftd36YW2tSuRC4/NjAgOJUCqGt1zsGT6848Gvq0X7usOWLRasWCHDc895NtR161YZduygMX06i9TUvhlQzWb3r5/FizXYsEE8kPzrX2qhRMjs2QzWreNmtOvWcaVhLrrIitZWCvfdp8Ybbzjn0Hz/vRJvvDEeRUUyweqtqurz2+q8EBnJ4vLLey/Zs6GBEorH2hMQQESZ+CEhtnPyzDMmp+ivgwdpvP46Z1G+/bYFixZNQEpKCnx9fVFTUyN0gMzPz0dtbW23krA9veai1+slcekpvSUu7bnG7M14/qPtS6ebzbYTau+lq6kRR6qcq/UGtRqorGxfXDq7TnvgwesUmib43/8sWLhQ4bS25En++ovGgQM0lizpxS/jAXQ6Ct9/L3eqDzZzpreQ5b1kiRXPPss9/+yzKixdakFyMlcjbPlyNdavb9+d0tra90EZnmTMmI7P58SJjMvB3xNMmVKBzEzXkyF+rRPgclrsK0Q/+qg4+qu1lYscZFkK119vwbXXWkFRFHx8fBATEyPqAElRFAoLC7Fnzx4cO3YMJSUlaG1tdcsLIkWLOdPn4uJpOhMX++gQPoNXpbK91r6YIN+XGwCqqsRRP7y/l1+09PcnCAwEjA5jT0VFxzcfy/begPTZZ1b83/+dv9yKr77ijv31159/kXHsz9IeP/2kQGgoi1tvFQ9CcXFaQeiXLzfjjjvMIITCQw+p8eijXF2ykhIaCxcO7LIsXSEzs+OZ+JYtvXNtzZ5twrFjnVfjlcsJcnNt+1hV5dySd8UKNUpKuOrSr73memIgl8sRHByMoUOHIjU1FVOmTEFYWBhaWlpw7Ngx7N27Fzk5OaisrITJsTbUOXpjQX+gi8uFlRIMCIvv7YmLq/NvNNoOg32Ei32aTVWVOAyZnz3xGcK81eKYN2NfXfl88u23Flx7bd8k7X39tQx33MHg4489d7N1RkMDjYkTGaE6bkcsW6bB/v06nDxJIz3ddu4DAnzQ0tIKigJee82EykoKv/6qwA03/H0W6d3F25u4jODyBGfOyGA2d34erVbb53/3nd4prHjLFjm++EJxLkTZKIoE7QiNRoPIyEhERkaCZVm0tLSgvr4eZ8+eRV5eHrRaLQIDAxEYGAh/f3+hNJSnLBdCCHQ6XY/qevUH+txy6Y2S0vzJ7in2brH6evFA3djI/eZvMH4xv6REvI2DB8//IV650tpnwsLz8cey877Yf/iwDDNnuucvT0vzxn/+Y0RoqHgf//UvbhIhkwEPPvj3CSvuKr0lLGPHMigq6nzOO26c7f5OTbVi3jzx/V5czAViAFwl69TU7o0HNE3D398f8fHxmDhxIqZNm4bo6GiYzWbk5uZiz549OHHiBCwWC8xmc7cDiRy5ENZcLjjLBWg/HJlhmHOd1yYA4Mxq+9mPI/YL+mrxkouQnc/P4Phs5Kwsm5hERpI+KZ/fiy0gusSOHTRiYggoqhXFxb6dv8ED/PmnHFOnWrFvX+eX9ujRWuzYocfFF9umvB9/rMSoUSz+/FOGH38c2OVaBhojRohL5vPQNBG5j5OSGKH6MQBs2yYO0mhtBf7v/zRoaqIwYQKDJ57wXJUEpVKJ8PBwhIeHCxZGQ0MD6uvrkZ2dDZVKhcDAQAQFBSEgIADybpZavhDcYn1uufQGcrncSVz0ej0OHjyItjZbqLFvJ+OdfTSZ43nmLRe+URuf73DggO0msM+ZOV889litx6PCekJJCYWmJhVSUs5fGZTMTJnbSZZ//SVz6mb58MNqSVjOM0FBLE6edD0c2U+WaJqIilcWFraJnmdZ4J//VCMvT4bwcBZffGFwWYbGE1AUBa1Wi8GDBwMAJk+ejGHDhoGmaRQVFWHPnj04evQoiouL0dLS4rZVw4vWQBeXPh+FesMt5mi51NbWIjMzE4MGDcLw4cOFx7VaWwkXV9ivuTgOVrxbICyM4PRpShCXwkLb9+lJf4ju0o0oyl6nsVEFlYpBWhqL/ft7fz7T2kph9mwrfv+98xOwapUK999/4dT/GqiYzVS7EY0MY3vc3oL59Vc9QkPF9+Xq1Ur88osCKhXBl18anErt9wZ82oNSqYSXlxeCgrh2AkajEfX19WhoaEBZWRkoikJAQIBg2bRXO1Gv14MQMuDXXPpcXHoDfs2FEIKioiIUFxdj1KhRiIgQF550Ffhhb4Lbu8Ls818ArkIsw1Dg02n4fjD2AQEeDB5xi7g4PV5/vWflc3qLqioZEhNZhIWxqK7ufYH5/Xc5brzR4lYl4nfeuTDrfw0UIiNZlJd37Zp49lkTpk0Teyc2b5YLpfbfftuICRPOz5ofP5F1XNBXq9WiwIDW1lbU19ejoqIC+fn58PLyEoTGz89PiDbTnasrNNDXXC5Yt5jZbMaxY8dQUVGBKVOmOAkLAFRXO8+U7CcLrXaRjY4WKu8O491jvFAFBNhmSh4Me3eL2bObzu8HdpE9e2ikpZWct8/7/HMFLrusH5pyEgJDhnRdWFJSGDzyiNjazMykcc893Gzw/vvNWLLk/J13hmFAUVSH0WI0TcPPzw9xcXGYMGECpk2bhtjYWFitVuTl5WHPnj3IyMjAxo0bcfToUchksm5VhXfkpZdewsSJE+Hj44PQ0FAsXLgQ+fn5otcQQrBy5UpERERAo9Fg5syZyMnJ6fFn97m49IZbjGVZnD59GhRFITU1tUvmpb2IFBfbr5+IXxcWxokI36CId4tNmWITFw9Ulbjg2Lw5Du+8c/6isOwTZCX6F6Gh7jUNczyHf/whLuPD1YLTQK/n3KHPP9/z5l9doTs5LgqFAqGhoRgxYgTS0tIwceJEBAYGYvPmzbj55puhUCjwz3/+E5s2bUIjP4PtBrt378a9996L9PR07Ny5E1arFRdffLFgHQHAK6+8grVr1+Ldd9/F4cOHER4ejnnz5qG11TlvqCv0ubh4mrNnz6KhoQE+Pj4YN24cFF1czbNfhLcXF19f8aHigwH4PBfecuE7VwK2iLLzhU43MLyc99+vwNq1ni0c2B5drcIrcX5QKAhqajoffry9iWgtpqamVbSAbzYDN92kRmkpjfh4Fhs2GM77WmdPc1woioK3tzeio6OxZcsWfPvtt/Dz84O/vz9eeOEFhISE4LfffuvWtrdt24Zbb70Vo0aNwtixY7FhwwaUlpbi6NGjADir5c0338RTTz2FRYsWISkpCRs3boRer8eXX37Z7e8E9BNx8YT1wveEyc/PR0hICPz8/NrdrkrV/mzWPqDDXlwc3WJ8B0t+rYUXl+Rk2wZqas6vuNTWDpy1gz175Bg9+u9T4FHCBk0TWCzu3Rv2+TTHj7c5pQQ89pgK+/bJ4eND8L//GRAQ4Mk9dQ9P1xWzWq3w9fXFa6+9hqysLJw5cwapqake2XZzczMACB1+i4uLUVVVhYsvvlh4jUqlwowZM7B///4efVa/EJeeYjAYcPDgQbS2tiItLQ3e3t4dJlGOHt2+uBQU2C7m4mJKEBtHy8W+vhHA1RcjBBg6tO/cMOXlA0dcNm+WY+VKKUrr70h3Sh599pkB8fHie+ujjxT4+GMlKIrg448NGDasbyYrvdXLhZ8cR0ZGwssDXc0IIXj44Ycxbdo0JCUlAQCqzvUNCQsTl9sJCwsTnusuA15c6urqsH//fvj5+WHy5MnQaDSd9nSZPr39i9D+wm9tpVBfz/0dHi6+IXg3qFxOIJcTNDZSKCsjqKkp6fZ36Sl9EfrcEx54QIlnn5UE5u+EXN71yddzz5lw1VXiBfqtW2V49FHVuefNuPTSviuaOlCKVt53333IzMzEV1995fSco5eHENJjj1K/EJfufAk+zPj48eMYPnw4Ro0aJZzgzsTl6qvdn+HwrrGwMBohIbaFRH4h32qlcC6HCj/9VIri4mLR+8eOPX+zqd5KFustysvp8xYuKtH3dFYRwxV33GHG8uXiCcj+/TLccosGDENhyRIL/vWvvp2g9EaLY09YKvbcf//9+PHHH/HHH38ISZ8AEH6uvLujlVJTU+NkzXSVfiEuXcViseDYsWM4e/YsJk+ejMjISNHznYmL/bpIZ/DiQtM0EhKaXL5Gq+U+Ky9PgbS0NNFzY8eePzeZl9fAswKWLzdj+fLyvt4NifNAV4Vl3jwr3nhDHPmVlUXjuus0MBopXHqpFe++a+zzcke90SjMU5YLIQT33Xcfvv/+e/z++++IjY0VPR8bG4vw8HDs3LlTeMxsNmP37t1OY1lXGXDi0tLSggMHDgAA0tLS4Ouihktn4tKVGb79ov7Qoc0uX1Nbyw3qjY1RTrHp7fQs6xXa2gZeocWCAl8kJfXMtytx4REdbcR334lj+U+fpnD11Rq0tFBITbVi48beK+3SFfqzW+zee+/F559/ji+//BI+Pj6oqqpCVVWV0H2Toig89NBDWL16NTZv3ozs7Gzceuut8PLywtKlS3v02f3CS++uW6y8vBy5ubmIi4tDXFxcu+/rTFy6gr24DBvWInrO39+KpiY59HpOULiilQyWL7fi9de5Q7tz5/nT76KiwPP2WZ7kttvG9/UuSPQzvvsuG8Aw4f+qKgoLF3qhpoZGUhKDr782iKqW9yX9uQvl+++/DwCYOXOm6PENGzbg1ltvBQCsWLECBoMBy5YtQ2NjIyZPnowdO3b0uPxMvxCXzmBZFnl5eaiqqkJycjJCQjouceKOuIwbx+L4cW7g78gXnJ1tLy5toud8fQ1oavJBayt3YRUWUtDrgeXLGUFcXFUB6C34/ZCQ6A84VjN2lx9//Bnl5QwMBgOCgoIgkwXh2muDUVJCIyaGxfffG+Dv7/n97S694RYLDg72yLbcKZZJURRWrlyJlStXeuQzefq9W4wPM25ubkZaWlqnwgJw4tJZH+wlS2z+qhEj2j8BR47QqK7m/vb1JYiLs61rqFReom6VLEshO5tCoIMBYV9dubeJidF1/iIJiV6GoronLA0NrQgJCUZkZCSCgoJQUdGIRYvkyM6WITDQgv/+9yyCg/uX+7c33GIDvWgl0E/EpT33Vn19Pfbv3w8fHx8hzNgd3LFcbrrJ9nxVlfPn+/raBGH7du4wEUIQHV0jPF5QIENoqPh9/GvtmTr1/IlLScnALnY30HnjjSK3Xnfo0IU9CWivwnFHVFe3CuH0arUa4eFRWLt2MnJzg+Djw+DddwtgsZzEnj17cPz4cZSWlqKtrc1jDbq6S392i/Ul/UJcHCGE4PTp0zh27BiGDRuGpKSkLp08mUwmlMFuD/tM3tpa5xvBfj3t119pFBcXQ6/XO4XOOpb9+fZbGoQA111nE69du/rlYZbwMD/8cBYff+xe+Oa//qUCTUt1z3iqq1uFNRTu3qVx331qbN0qh1pNsGmTCVdcEYXU1FRMnjwZISEhaGxsxJEjR7B//36cPHkSNTU1nXoseoPeSqIc6PS7Uc9iseD48eMoKyvDpEmTRDHZ7sJbLp3NaIKD23+ed4UBwI4dQGFhKfz8/DBtmliIWlu5/728CJRKgvx8GtnZFF59VXyRBwZKA8mFzLPP6tDUFIDsbPeifPbtk3fLbXQhUlvbKlqct1pZPP/8IHz1lQIyGcHGjQakpdkma15eXhg8eDDGjh2Liy66CMOHD4dMJsPp06exZ88eHDt2DCUlJWhtbT0vVk1/jhbrS/qFuPBusdbWVhw4cAAsyyI1NRV+fn7d2h4/i+jMNfbcczYBsHeDce+13fh6vQwMMxVKpRLDhxuQkOBsFen1FAYN4v7etImGY/7RvHlSsuCFzAsveOPdd8Xld2bPdr02MGpUPcaMaXH53EBEqez+AF5f3ypqyscwwEsvJeDbbwNA0wQffGDEZZe1fx/LZDIEBQUhMTERU6ZMwZQpUxAWFoaWlhYcO3YM+/btQ15eHqqrq2Gx9M5aTW9YLpK4eJCKigqkp6cjIiIC48ePh1LZ/TpZ7orLtdfaBvyWlo5nkbt2qSCTyUAIixtvdC0UfDHL777jXGN33WX7/K+//ntFcmm1A8NSe+aZCo9t6/BhcdLFlCmuB7OcnCB88kkxHn8812Of3VfIZARmc/cssIaGVlGeCsMAd9+txrZt4ZDJCP7zHyOuv75rbi6NRoPIyEiMGTMGF110EUaOHAmFQoGSkhLs3bu3W22HO8OTay6EEOj1emlB31NUV1cjLy8PycnJSEhI6HlNm3Mmamfi0pUKqr/8IgNFcR0uly5lRD0m+L/58vtFRTQyMiisXfv3bVTV1tb1c/jqq+e/wsCGDb1XRrejKMQpU8Zg8eJoVFXVY/78gWvF2Fv4XaGxsVVUC89qBe68U42vv1aAplm88UY1Fi/u2f1D0zQCAwORkJCAyZMnIzU1FYMGDUJbWxuOHz+OvXv3Ijc3F1VVVTCbu3/t9YZbTFpz8RChoaGYOnWqW2HG7kBRlNuJlLfe6l6yZXExhbIyLzAMg+hoYMYMe3Hh1m/sI2S+/ZZ2anMcHy+5xtrjttusWLbs/Ivx2bM9y8Tz8mpfQMaObf/2MpspjB+vxTXX+GLOHAWOHNHh5Zf/Ht3lmppaRfeGxQLccYca336rgFxO8Mwz2bjiCs8fC7VajYiICIwePRoXXXQRkpKSoFKpUFpair179+LIkSM4ffo0mpubu2TVSG4x1/SLJEqapqF2bNTQQ9wVl5dftuKTT9y7MPbsCUB8PBeKfMMNDP78kxs8WJaCnx+LujqbuHz+uQxPPcXgwAEzUlM5F19RUb/Q8n7JkCEsvvxy4LkOd+wwYs4ctdDXx56oqM4HqH37FNi3z+YbGjWKQVgYC7UaaGoiOHmSRkNDv7hNe4xaTVBd3ebU7Ou229T46ScFFAqCTz81IiioGhTlXNbJk9A0jYCAAAQEBCA+Ph4mkwkNDQ2or6/H2bNnQVEUAgMDhR73HbnpPekWY1kWer3+ghCXC3a0c1dcupLp+913QTCbuW1efTULb2/b4FFbS0Ems/1fXU3hP/+RYdw48QAjVQF2zerVCtx5Z897hjvyyivO7o4RIzxzDpYsMWHcOIK33nLtUnn+eQXefLNr7pacHBl+/12BX39VYP9+Zb8SFvsurV0lLc2KmhqxsJhMwM03c8KiVBJ88YUB8+dbwbKsR91M7qBSqTBo0CAkJSVh2rRpGDNmDDQaDc6ePYu9e/fi8OHDOH36NJqampzSHDzpFuPbD0vi0o9xR1z4sv3XXlsoPBYZ2f4NdPasCrt2cRFsWi2wcKE4IMDR//z66zLodMALL9jcPUeOXJiHvKe96ru7KNwZK1Y4zzg9Vezwq69USE9PR1raKcTHO7v03nxTgWPHaAwePPAnFDRNhLD7rnLXXWZs2yZ2cxmNwI03avDrrwqoVARffWUQerL0hbjYQ9M0/Pz8EBcXh4kTJ2LatGmIioqCwWBAVlYW9u7di+zsbFRUVMBkMnnULcaLi7Tm4iE80ebYkc7ExWq1IiMjA2VlZXj9dVvIc3m5877YD5wbNw4SulPeeKPr7ctkBD4+BDU1FD78UIYVK8SvGz584A82jnQnI7uvyMz03GV/9uww6HQ6PPPMbpfPf/qpHGfP9ovbrNt0t5QLALzxhhGvvioum9/cDFxzjQbbt3MJkl9/bcC8ebZ7hBDSp+LiiFKpRHh4OEaNGoVp06YhOTkZ3t7eqKiowL59+0AIQWlpKRobGztN3u4MnU4HpVLpVF19INJ/zqCH6UhcdDod0tPTYbFYkJaWhrAwsX9XpRLPwu0HzlOnvLFrF/f/jBkE48c7X0wMQ4FPFF67lrNetmyxhaWePHnBHva/HbfcEono6DG45prJuPjiC2tB3t+fuw+6O3HYvFmPO+4Qh2NXVlK47DIv7Nkjh1ZLsGmTAbNni+9TlmV7ZcLpCSiKgq+vL2JjYzFhwgSht73FYkF2djb27NmDrKwslJeXw2g0dnn7ji2OBzL9ZpTz9MFsT1xqa2tx4MABBAcHY8KECcJC3a5dNt+4q8VZe157jfOD0zSwapXrCCeDgTr3eRQ++ECGSy+98KwVVyQk9L+aWTNmuN9+YcmSrkesRUZ6wWSi8fLLzhOTgYqvL0FTU/fvyUOHdJgzR3zcCwoozJvnhexsGUJDWWzdqnd5bvraLdYV+P0cOXIkpk2bhpSUFKFvyoEDB3Dw4EEUFhaioaHBLaumra3N410o+4qBcQa7gaO48OsrGRkZGDlyJIYPHy66gKdNc39Q2L2bxqFD3I03axbBxReLLxrH9Yc33pChuRnIzRW7B4YMEf8/kNFqCWiaoLCw73zF8fEsoqOdb2B3Q5yfesqMRYtqOn+hC4KDvRATQ/D22wOvG6g9fn7ceewsqbgjTp9uc3L9HjpEY948L5SW0oiPZ7Fzp95lC3BCSL9zi3UEwzCgKAo0TYOiKPj4+CAmJgbjx4/HtGnTEBsbC4vFgtzcXOzZsweZmZk4e/as0KzLET4MWbJc+jFyuVwQF359hW+LHBER4fI97VkhrnjtNdsC3qpVVpGg+PoCCoXt/7o6CitWyBEbKxadM2cGvl+Vp62N6vNaWZ98YhYsRp4hQ1iEh7s3cdBq66BSHcPw4e4LRHi4bYAMDPTCjBks1q0zQS4feBaMr68Jzc09O4+Nja1ONfu2bpVhwQIvNDTQSElhsHOn3ule4OFn9wNFXDpazFcoFAgNDcWIESMwdepUjB8/Hn5+fqipqUF6ejrS09NRUFCA+vp6YazyZALlX3/9hQULFiAiIgIURWHLli2i5wkhWLlyJSIiIqDRaDBz5kzk5OR45LOBfiQunlZqmuay6XU6HQ4cOACr1YrU1FSXbZF5HnrIfffJjz/KcPIkt89jxhBRf5jmZkqUfQwAGzfK8M47Jfjpp12ix+3DlyV6RmQk61ThWqkEwsLcO8a//cZiwoTxuOsu9z+zqooWudKGD9egqIjGb7+ZMHr0wHCFRkWx0GgIWlq6P9m59loLWlpanRKHP/tMjqVLNTAYKMybZ8XPP+s7LBjLJy8OFHFxNwyZoihotVoMGTIEKSkpuOiiixAfHw+GYXDy5En8/vvvuPzyy7Fz5063W4t0hk6nw9ixY/Huu++6fP6VV17B2rVr8e677+Lw4cMIDw/HvHnz0Nra6pHPHxhnsBvIZDK0tbXhwIEDCA0NdatemVzOJUe6y4sv2u6k556zigr4Oc6gAeDll+OQlDQZP/1kmxkzDAWVamAMQv0dxyZtACcuISHuiUtGRgR8fPzwf//XtXWX1lbgnXdsLs61axWYMUONhQut+PRTE2bMYHocqt1bREYyKCujXV6v7eH4XdavN+C//xUvXhMCvPKKEvfeqwHDUFi61IL//c+AztI3eMtloLiFuptAKZfLERISguHDhyMtLQ1jxozBlClTcPz4cRw4cAAJCQm4//778csvv3S74OZll12GVatWYdGiRU7PEULw5ptv4qmnnsKiRYuQlJSEjRs3Qq/X48svv+zW5znSfzK0PAghBM3NzWhsbMSYMWMwiC9X7Abvv2/FF1+4d7Fs2iTDkiUsLr+cxZAhwD33MHjrLedDSlFcaZiGBiUefVSGzz+3IiWFxbFjnLabTBesxp83wsII/vlP58mDWk3gblRnXR2No0dpTJzYNbH/+Wc51GqgsNCAhATbrPPf/7btz5VXWhEZSeDlBZw5Q6GqioJOB1gs1LnMdQplZefvOhg2jEVZGYXy8q4PjPbRY3/+WYtx41QAbI+ZzcDy5Sps3Mh9/+XLTXj2WTPc0YsLyS3mLhRFISwsDM8++yy0Wi0yMjJw++23Y9u2bXjssccwZ84cKDyVnHWO4uJiVFVV4eKLLxYeU6lUmDFjBvbv34+7umK+t0O/ERdPzVSsVisyMzPR2tqKgICALgkLwM10n3jCipdecu/Q3HuvHMePm+HvD6xYweCLL2SiMjAAHGqOyXDVVSz277dArb5w1lz6moULrVi/3vkG1GiA0lL3r62tW2WYOJGFVku6VHzz22/l+PZbOU6eNCAnh8I114jLGf34Y/+41UJDCbRaru9QT9mxYz9aWupx4IASQUFBCAoKAsME4tZbvbFvnxwURbBmjQl33+3+zJsPQx5Ilouni1b6+/tjwYIFWLBggce260hVVRUAIMyhN0hYWBjOnDnjkc8YGNMDN+HdYAzDIC4urtsn/dlnxa6xjlwalZUUnniCGziCgoCPPurcpfLgg3KUlABVVRdOtFhf40pYACA8nGDTJvdnllu3cq+94YbuFdEcPlyDG29U4a+/jDh9Wo+rruo/lbEnTWLQ2AicPt21+8KxY+asWRY0NjZjyhSuAOSwYcNAURS2b6/A1KkK7Nsnh1bL4PPPm7skLMDACkMGPN/iWKfTnddQZEcRJ4R4TNgHzlnsBD4CIzQ0FBMmTIBKpXKrtpgrKAp4+23bTdFZEtmGDTIhsXLWLAMWLz7rYpu2G7ShgcJVVynAsu73XJfoHoMHE3zzjftWQ2YmjfJyCjNmdH8dzGCgMH26GnFxXvjhBznmz7fipZfM2LTJhHfeMeGeeyy4/HIr4uJYqNW9vxYzfTqD8HAWhw7JYLF0feCwjx7bsKEVmza1gGGsMJvNIIQgICAAhYUj8Oijaaip8UJUlAnr1h2HVvuXEBHlbp7HQApDBgZuReTw8HAANguGp6amxsma6S79w1ZH991ifP5KcXExkpKSBDeYu4Ur2+POO1k88IDtf42GdLjouWyZAn/+WYdTp47h/vsDUFAQgYwM200ikwH27b3z82ksXqzA66+34b77KvHuu11z30m4R2srkJPTtcFq2zYZFi3ynMXxyy9y/PKLxzbnNuPGNaKlhcJff/l3+b1RUazTGlBxsR7BwRQIUYJl2XM/BGvXyvHiixoQQmH6dAs++cSE4OBhsFrj0djYiLq6OuTm5oJhGKHKcFBQkMsSJ/05O98VA7XFcWxsLMLDw7Fz506MGzcOAGA2m7F7926sWbPGI5/Rb8SlO1gsFmRlZaG1tRVTpkwRdW/rqbhQFHDkiBkTJnCLkp1F05SWUnjggTasWROFuLg4fP65FZMnK6DTce+zWp3fv28fjWefHYLVq4thNIbio48GXsn5viIoiKC+vvNBKC+v6zf+r7/KcMcdVixcaMWWLQPvFklLY+DtDfz2m3+nOStyOXG6NkNCiEhYpkxhsGuX6dyCPPe4TCaD0Qjce68CX3/NuSRvv92IF1/UQaHgFvVpmkZQUBBCQkJACEFbWxvq6+tRWVmJ/Px8eHt7C0Lj6+sLmqb/9m4xvV7vsTyXtrY2FBbaivIWFxcjIyMDgYGBiI6OxkMPPYTVq1cjMTERiYmJWL16Nby8vLB06VKPfP7Au3POwXeT02g0SE1NdQoz7qm4AEBSEsGUKSzS09272H/+ORYPPWRGfDxBQgLBW29Z8Y9/dBzlsWOHP0JDB+Gjj6w4fZrC778PnBurtxg6lMWpUx0fB3eEhaIIcnKsALp28+/aRaO6GrjrroElLmlpDCIiCH75RdbpZEilYmAyyUTC4u1NoNNRolyhjz4yYckS5/uoooLCkiVKHDkig0xG8PrrFtxxhxWEKMEwDAghgnUDcJ4JLy8veHt7IyYmBhaLBfX19aivr0dWVhYIIQgMDIRKpRpQloun3WJtbW0es1yOHDmCWbNmCf8//PDDAIBbbrkFn3zyCVasWAGDwYBly5ahsbERkydPxo4dOzzWYpkinmok3UNYlnU7nru6uhpZWVmIjo5GYmKiy4uxpaUFhw8fxpw5c3q0X1YroNW6H9Xl50dw+LAZ0dHc/7fdJsdXX3V+8a1ebcXDDzOYMEGB7Oy/r8BMmcIgPb3j46VUdr9vu7u88IIZDz9sxVVXqfDbb/3bopw5sw1xcSr88IO8U9GVybjQbL1e/Lro6BaUlooTjEtK9HDVHPb332ncdpsKdXUUAgMJPv/c5HKNimVZkdDwQw0fDUbTNGiaBiEELS0tqK+vR3V1NQwGA3x9fQWrxsfHp98KTn5+PmQyGRISEjyyvVmzZmH58uVYsmSJR7bXlwyoUYwQgoKCAmRmZiIpKQlDhw5t96LzhOUCcImVn33mfsRLczOFq69WoLmZ+/+dd6yYNKnzhcwnn5Tj6adlOHzYgpkz/55JlRRFOhWWiAjWSVg665fi59f1+dMHH8hhNgOvvdZ/a4VdfPEZ3HJLM7KyvPHf/yo6FZb/b++845uq9///yuje6aSLlu5BJ1ABQfaGFhFUlAsKXhURuV68/sB9FZQhqChDBES9AhdaKHu3BUT4QhcdFMroHkm6mzbrnPP7I/cck+60SZuW83w8fDwkTZOTNDmv8/m83+/Xy96eAkFwNISFdj5WF5Y5c4pw/PgJFBenoaioiPHBIkngq6/4mDNHJSxhYSRSUqTtNj9wuVwYGRnB2NiY+Y++yidJEkqlqimAIAhYWlrCy8sLPj4+sLS0hJubGyQSCdLT0/HHH38gNzcXQqGw2wOF+kIf3WIDIcsF6EfbYgqFAnfu3IFEImlVX2kLHo/HXC319Kpn/nwSGzeSyMrqmhbn5HCxcKERjh1TwNJSZbc/ZUrnK5LNm/moqODgxAkFvv2Whw8/7Dd/nh5hZ0ehpobTJWv3srLW72Fn38WICBIpKdqdAMrKuNi/n4+//12J3btleknJ7C4rV4pQUlKPpCQv1NR0/rpsbFSrFaFQ8/0dM4bA1auav5+a2oyAAHs0NT0FkUgEoVCI+/fvQ6GwwZYtkbh+XdUm+8orSmzaJEdXnUroOoq6uBAEwXxH6e0zhUIBHo8HZ2dnDBo0CCRJoq6uDlVVVXj8+DFycnJgY2PDrGr62p5el9tiFEUNmIhjwIDEpaMPSGNjI9LS0mBubo6RI0d2aVqV/oMTBAF+S6OvbnDjhgIWFl0/wVy6xMXKlXxs366EQACcPKnApElGePCgY4H57TcexGLgP/9RYvhwElOndmxZMxCoqen+yeG77+RYubL998jTk4S7e/d2fj/7jIspUyR48UVzFBRwsG5d3/0tZs5UYvp0Aikpjdi5UwC5vI39qhaYmFBwcaFQWKj5mfPxIfHwIVdDWEaNInD+PF2058DCwoKpj9y4QeHll01QXs6HiQmB5cuzsGCBFDU1DuBy2+766gx6SwwAIzAymQzl5eUwNTWF8n+tlXQqpJ2dHXx9fSGVSplazePHj2FkZAQHBwfY29vDzs5Op6uIrtBfu8V6A4MRl/aorKzEnTt3MHjw4HbrK22ha3HhcEgcO5aFuLihas9BtYo2VmffPh6GDKHw3nsEXFyA06cVmDDBGCUlHb+Gs2d5mD6dgyNHFCgokMHLy3CumvsKc3OqVZ3g2rVmxMaatvMbKv7+dyUOHOja33/wYBJFRaoVFI9HobaWj9dfl+ODD9Lw7LOOsLQcjDVr7Lv9GrTFx4fE228rYW5O4dAhHlasMAHQtc9CUBCJwkJOK2GZOJFoVUM6c0aKsWPbsr9XbQ+uWWMEhYIDX18Sv/0mg6enM8RiMYqLi5GTkwNra2s4ODjAwcEB1tbWWq8kuFwuE7bF5/MRHBwM4C/RoYWGw+HAyMgIgwYNgpubGwiCQG1tLaqqqpCfnw+pVAo7OztmVdMbw4j9dc6lNzCYgj5FUZDL5Rr/fvDgAQoKCjB06FBm6Ecbzp07hzFjxvT4QyaTyZCeng6SJHHwoCd+/NFHq9//9VcF5s9XfXnz8zmYONGo1RZFWwwaROGnnxQYN47SatU00LCyap3ffu1aM7780ginTrUvHFZWFG7dkiIwsGt7N5aWFEaPJnHuHA/e3iqhIQgO3nuvBs8//whisRj37plh9+5IZGfrpqOmJVFRBF5+mUBYGImLF3n47TeeVjHJ/v4k+HwgN1fzd2bNUuLkSc33aswYAqdPy9DWhXd1NfD228ZMt9zcuUps3y5HS1NxmUyGqqoqiMViVFVVgcvlMkJjb2/fpQs7uVyOtLQ0mJiYICwsTONk/dc8DanRFAD8tfqhVw5NTU3MqqampgampqaM0NjZ2emlxfn27dvw9PSEk5NTjx9LqVRCIBCgsLAQnnRHUD/GIFcu6vWVkSNHdlvJdVHUr6urQ3p6Ouzs7BAaGgojozScPeuBoqKub5EsWmQEc3MFZs4k4edH4eRJBaZNM0J1dccCU17OwaxZRli2rBpHj15EYeEIrFrV+XbIQMHEhIJMxmklLMnJUiQl8ToUFgB46y0l7tzp+gmlsZGDqCgS589z8fgxF88+q0RCAh+bNtnB1HQo/vUvBSIiGjFuXCESE4HEREekpvZsmtnNjcS8eQTGjiUQEEDh0iUeDh3i4d132/988fkUjIwAqfQv9wg/PxIODhT+/FPzKtrBgYK/P9lKWK5da0ZkZNvXlSkpXCxbZoyyMi74fArr1inw1lvKNo0nTUxM4OrqCldXV5AkidraWojFYjx8+BBZWVmwtbWFg4MDHB0dYW5u3mpVI5PJkJqaCktLS4SGhrYSgLa2z9SFRn1VY2JiAjc3N3h4eECpVKKmpgZVVVXIy8uDQqHQGOA0Ne14xdtVdLkt1tjYCADsykUfyGQyNDQ0ID09HRYWFggLC+uRG2hSUhIiIiJgZ2fXrd8vLy9HdnY2fHx84O3tDQ6Hg7S0NAgE9ggM9Nf68XbtUmDx4r9WMM8+y0d+ftc+mBERCvznPyScnZVwcBgY3SQdERZGtikMmZnNSEtTtcJ2hK0thZycZnz0kRH27u36Z+i555Sws6Owe7cRPD1JTJ5MYM8e1e/PmqXE5s0KeHiovjJyuRzZ2TU4e5bA7dtGKC62RmWlBaqqWguDpyeJwEAKvr4k/P0phIeTCA1VbV2dP8/DqVM8XL/O7bCpwc6OglIJNDf/NZTr40NiyBAKFy603pp59VVFq9c+b54S+/e37VAslwOff26ErVv5oCgO/PxI7Nsna1eEOqO5uRlisRgikQg1NTUwMTFhVjV2dnaQy+VITU2Fra0tQkJCtN5Oa6/VGdBc1VAUBYlEwqxq6urqYG5uzgiNjY1NtwXizz//RGBgYLfPMeqUlpYiKCgIMpms03iQ/oBBiUtRURHu3LkDLy8v+Pr69rgL5MqVKwgJCYG9vXb75HTLc1FREcLCwjSWvBkZGbC2toaLyxAIBNpvVX3+uRKrVxPgcICaGmD+fOData49jqUlhU8/lWPZMiUOHuTjjTcG5lbZ4MFkq1oBABQWNuHPP3n429+MO51z+eYbORYvVmLIEDOtGgaMjSncuCHFc8+Z4NEjLkaOJDBzJoFPPjECQXBgZkbhb39TYtEiJSIiKOYkTZIkY3UiEokglcogEAjg6Ki6ajc1NQVBAPfvc3DzJhd//MHD1avcLtnse3mpLkjKyzmQyVRPGBhIIiCAxJkzvFbvxeuvK/Dbb3zGHYImL6+ZEcaW5Odz8MorxkhPV4nUkiVKbNwo77QTr6sQBIHq6mqIxWKIxWJmC9za2hqhoaE9DsiixUW9A42GjiCmZ2sUCgWqq6sZsaEHOGmx0ebEfu3aNYSFhXUYQthV7t+/j6effhoSiaRfuRS0h8GIi1KpRHJyMvz9/XVmnPbHH3/Az89Pq/1QpVKJzMxMSCQSREVFtVqiZmVlwczMDL6+vnjwgIPQUO2vMN56S4lNmwhwuYBYXIfXXpPizJmu77EGB5PYtEmOZ54hsWiRMY4eNcjdTa1pb7UycSKBxEQZdu/m45//NOrU0mTYMAKXL8tw+jQPL7zQdQGOiSFw8yYPK1cqsHixEuPHm6K+noPQUBIffaTAtm18XLv21wrB3Z1EdDSJyEgSTk4UbGxUdR6SBGpqZCgokKCgQI6CAj4qKqxQWGgFqbRrJw0HBylcXJRQKMw17PGjoggEBVE4f57XKnVz9mwlCAI4fVrz87BzpwyLFrW9PUxRqpTU994zRlMTB3Z2FH74QY7Y2J7PiLVHQ0MDbt++zXy36urqYGFhwWyf0VYwPaFlq7P6ACctNvSqpqGhgRGa+vp6WFlZadjSdHSRm5KSgujoaJ1sZaWnp2Pu3LkQi8UGOzSqDQYjLgAglUp1+qbeuHEDnp6ecHV17dL96aEtExMTREREtLkll5ubCx6Ph4CAAADArVscjBmjvcDMn0/gp5+UkMsbcOPGTeTlTcX77/O0yi+fO1eJ9esVcHGh4O5u1upKtb8QGEgiL6/tk8nx41KMHk3i44+N8MMPnW9vmZtTuHJFiqAgCtOnm+DKlbY7edqymNmzR4alS01gZETh5k0pmpqAZ581hVCoCvR6910l/PxInDrFw4kTPGYVoSusrSlER8sgFktQVWWFsjLV54rDoTBtGglPTxJHj/JbNYMMG0Zg3DgSmzdrvj8jRxI4e1bWKnKbprwceOcdY6Z29cwzBHbvlsPNTX+nhIaGBqSmpsLd3R0+Pj7gcDiMFQy9qgEAe3t7pimgp1tEna1qaCHjcrmQy+WM0FRXV4PD4TBCIxAIWp0TkpKS8NRTT+kkmvjq1at44403UFhYOCDExaAueenBR10+XlcL+mKxGJmZmXBzc4O/v3+7V05cLlfjMYcPp3DhghyTJ2v3BTh8WBUqtmsXDxRFYsUKJWxtK/Dee46ore3a1fbRo3ycOaMyWUxLk0IqLcGsWS4oLtZPJ5OucXKiIBRy2hSWBQuU2LtXjuxslX19V52Nv/1WjqAgCn/+yW1XWABg2TIl/vUvzb8ZlwtMm0bg7FkeFi0yQVKSFCkpUixfboykJB7WrzeCsTGFmTMJrF2rgLGxKj6huJiD2loO6uqA+noOKApobARqazmor+/4JGFjI8Pw4XUwNTVBba0RUlJMQZKm//sZheeeU8LaGti1i4+mJs3X4+tLYvlyJd59V+XxpU52djO8vdsWCYoCDh5UrVZqajgwMqLw8ccKrFqlbLNzTFfU1dUhLS0NXl5e8Pb2Zm43MjKCi4sLXFxcmBRZsViMwsJCptXZ0dERDg4OsLS07FarM9D+AKd6U0DLAU7alqawsBC5ubkatjTm5uY6jQig25AHgrAABrZyUSgUOhUXVfFdAC8vr3bvQ1EUCgsLkZ+fj+DgYLi5uXX4mPn5+ZDJZAgNDdW4/fx5DubM0f4KSyAg8c47f2LWLDNUVlbC0zMKn37qgCNHtOud5/MpjBtXirVr+Rgxwhrvv9+1K/3extpagfr69o/LzY1EeroUHA7wzTd8bNpk1GUfsTffVGDzZgVIEpg82aRDK5mKiia4uGi2qD/7rBIbNyowerQpKis5GDuWwKFDMlhZAfHxPHz7LR9paa0fk8+nYGsLEAQgkaDD4zU1pTBiBImoKBJKJVBeTuDsWSNIJH89bnh4I2bOJCCTmeHrr1t/pvz9SaxapcDy5a0vQhISpJg6tf3vUEUFsHLlX6uVyEgCu3bJERKi39NATU0NMjIy4OPjo1WbrVQqZVY01dXV4PP5TFOAQCDo8QybNq3O6gOcNTU14PF4kMvlCA4OhoODQ4+PJSEhAd9//z1u3brVo8cxFAa0uGRmZsLS0hI+Pm3PpZAkiZycHIjFYkRGRsLW1rbTx3z48CEaGxsRHh7e6mfHjnHxwgvdO6E//3wBvv3WBtbWpiBJEvHxXLz7rmmX3H/V4XAozJpFYOlSJSZMIPHwIQeRkT1fsneXrppMTpumxO+/q7qYfvuNh6++MkJpadevCJ9/XomffpKDy1XVENo68aojkTTBwqL1/FNhYRMePuQiNtYEDQ2qjqnvv5fj6adVn8v0dA7OnuXh5k0eUlO57baT83gUvLxU7ti+vqoWdFtbCiUlHFy4wMMff3A1HImdnJowb54MPj5KXLrEwZkzDq0eMyKCxOrVCrz3nhHKyzXfmw8+kGPt2vYzaCgKOHSIh9Wr/1qtrF2rwD/+oYSO49lbUVVVhczMTPj7+8Pd3b3bj6PeNCEWi9Hc3AyBQMCITU/n2dpqdW6vVkOSJEQiEXJycmBmZgapVApbW1uNVY22K5BffvkFhw8fRnJyco9eh6EwoMUlOzsbxsbG8Pdv3TZMD0ZSFIXIyMgu970XFBSgpqaGCdhpydWrHK23yGiiogjs2SOFr6/KD00k4mDVKmMkJnbvimjQIBIvvkjgpZeUCAyk8McfXEyZopv+fl2xc2cePD0fo66Oh2vXApCQ4Irycu3OdnPnKrFvnxxGRqqup5gY007rIe2Jyz//qcC//61AejoHzz1ngooK1Ul87FgCr76qxLhxhIZTsFSq2hqrqgKMjVU+Z2ZmFBQKVZbMrVv0f60L8P7+JEaProKHRwGMjPyxb59VmxHEI0eKMGXKA+zfH4aCAs32rWefVeLnn+XoaEi8pISDd9/9a+A0IoLErl0yhIbq/6svEomQlZWFoKAgJshPV0gkEkZoampqYGZmptHqrIumgI5WNVKpFLdu3cL48ePR1NTEdMPV1tbC2NiYqRnZ2tp2aYp/x44dSElJwam+SJbTAwYlLkqlUidOxjR3794FAAQFBWncTg9GCgQChISEaGXfUFRUBKFQiGHDhrV7n9xcDqKiul+E3LlThpdfVrUrUxRw7BgPH39spHX2uTpRUQRmzCAwZYqqu0kiAT76yAi7d/fu1pmnJ4kDB2SIiKAgkwFJSVz85z98nDrVvQL5ypUKrFunAJerqnNMmNB5fWbsWAJnzsjaFBcAuHGjGUOHUqitBT780Bj792s2Wvj5qfzKXFwoWFioVmYKharGUljIQVERB42NrV+LkZHKAWD6dALPPKNEcnIFjh83x/XrbbtPvPaaAi+9RGDJEmMUFGi+puDgGuzZUwg3t/anzwkC2LGDj3//WxVaZ2REYc0aBd59V/+rFUBl3ZSdnY3Q0FCddYC2h1Kp1Gh1ViqVTFOAg4NDt/zP1FFvCqBXNLW1tcjNzcWoUaM0VjUEQTADnFVVVZDL5Rq2NO0V/zdv3oy8vDwcOnSoR8dqKAxocbl//z7kcrlGfaSsrAw5OTnw9fWFl5eX1kvX0tJSlJSUICYmpsP7FRUB/v7d/0CPHUtgwwY5wsLogT1g3z4+vvzSqNUVsLY4OFCYNInAuHEEhg9XDfVxOMDNm1ysW2eEy5d155X05psKLFumWjlRFFBYyEFKChcXL/Jw4QKv1fR9VzExobBxo+qxAdUK4tlnTbrkfpycLMXw4aSGuERFEUw9xdubxLlzMqZrqriYgz17VALY0lalIwYPJjF8uOq/ESNI+Pmp3Jnj47lISGj77O7gQOH//T8FRo8mMH26KWprNd+fwEAS589LQJLVEIlEEIlEIAiCSXx0cHCAsbEx0tM5ePvtv+ZWnnqKwLZtcgQH987XvaysDHl5eRg6dCgc2wqF0SN0ezEtNPX19bC0tNRode5p0byxsRGpqalwcXHB4MGDOxzgpG1pxGJxhwOcn332Gaqrq7F3794eHZuhMKDFRb0+QlEU7t+/j+LiYoSHh3f7A19RUYHHjx9j5MiRnd5XJgNsbHp2xfTqqwp89JECTk6qL01OThG+/ZaLxEQ/SCS66VKxtqYQFaUqMvv7k/DxoeDjQ8LJCcyQIEEAVVVAaalqkI+iVPke5uYUXF0pCATQuBqWyYDHjzl4+JCL7GwOMjK4SEvjauWT1R7+/hJs21aDp56yBp/Ph0QCvPyyCc6f75ooSiRNAICoKFNmhuT0aSlmzPhry9DNjcTu3fJWWSViMXDnDhfl5RxUVHAglXJgbKyyY7GyUq3MBg+m4OlJwdgYuHOHg+RkHpKTeW1O0dMsWqTEwoVK8Hhoc+syKkrlA9YyaYI+kYpEIojFYgiFTThyJAwJCe4gSQ5sbCh88YUcS5YQeu0EU6ekpAT3799HeHi41gPM+kAulzNCU1VVBQ6Ho+F/pq0LiEQiQWpqKgYNGgRfX19mJdOVAU56hUWvagiCAIfDQUZGBh4/fgwzMzNs27ZN128Bw/bt27Fp0yaUl5cjJCQE33zzDcaMGaOX5zIocSEIgmkL1AUFBQWorq7G0KFDGa+ytgYjtYHOt3j66ae7/DsLFvBx/Hj3VwPm5iQ++ECOZ57JQkNDFSIiIiCVWmPbNiP8/DO/U4+y7mJpqdr6sben4OCgEhAzMwp8vqq+wOWqrEikUg6am1XRw0IhB0IhUFHRtXwWbTAzo/DGGw148cXHqK0VQiqVQqFwxocfhuHu3a7VkgYPJpGbKwUAfP89H++/r9q+bGxswpo1Rti2TfNEM2ECgSVLlJgwgUBHDh8UpVrhZGVxkZXFQWYmFykpPNTVtf8eTJqkqodNn05g40YjbNnS+iQ3bhyBw4dl6KxWTVGq9va1a/8q9o8dW4o33rgPf39rprtK35b0hYWFePToUY9sl/QJnQ9Di41EImH8zxwcHDrNh2lqasLt27fh4uLSrku7NgOcjY2N+OOPP/Dpp58iLy8Pjo6OWLZsGWbMmIGYmBid/r0OHTqERYsWYfv27Rg9ejR27dqFn376Cbm5uXoxyhzQ4lJcXIzS0lIoFAqYmZkhPDy8R15lgKrzJScnB2PHju3y70gkEqxfX4Gvvw7u0XO7uEjwj380YOlSC5iZqT50TU3Af//Lw/btRl2eBelvcDgUFi0i8NFHCri6/vVxPXZMgZUrLVBV1fWGh6ysZgwZonqM6mrAw0N11j54UIYZMwi8/rpxmxb9XC4Fd3dVB5iNDcXUw6qqVCuY8nJOp7n1ABAVVYfnnjPBggUUGhuB6dNNWnV+AcDy5Qp89ZWiw0L9X6+Jg9WrjRn3AC8vElu2yDFpkkLDkkYul2vUIXRl3kjz6NEjFBUVITIyEjY2Njp9bH1B+5/Rrc50Ib4tMe6KsLREmwHORYsWMYmdZ8+ehb+/P65fv66z1xoTE4OoqCjs2LGDuS0oKAhxcXH48ssvdfY8NANaXO7du4eCggIMHjwYAQEBOhlOovv1x48f36X7V1dXIz09Ha6urrC2DoCPT8/bgu3spFi4sAJLlxLw9lZNMFMUcPUqFzt38tv0m+qPmJhQWLCAwNtvKzTmMGprgf/3/4zx66/ad9HRW2I0dN3FzIyCWNwMigK2bePjiy+MdOJ4YGNDYcoUGfz88jBpEonISH98/70xPvqo7YaPfftkWLCga1vDNTXAF18Y4ccf+SBJle/Z6tWqYciWukGbN9LbZ3V1dbC0tGTqND2pQ1AUhYcPH6KkpATR0dGdpsQaKnQhXl2M6VZnCwsLZGdnw9nZucN49c7oaFWzYMECzJw5E//4xz9AEATKysrg4eGhk9cml8thbm6Ow4cPY+7cuczt77zzDjIyMpCSkqKT51HHoCb0dTWZSg9GFhYWwsTEBIGBgTp5XEA7F4GSkhLcvXsXgYGBcHd3/9+SvAEvvmjWyv9JG2pqTPHDD17Ys4fAjBmPsHChGEFBNoiOdsTvv1ugthY4dYqHhAQ+Ll3iQqHoX0Lj5kbitdeUeOUVJRzUxj1kMmD3bj42bOg8rqAtjh0rglxurWEnMnYsgStXeGhuVk3Y29gAK1cqsWCBEjt3GuG//+W1aaLZHkFBJJ56isSIEQRiYkg4O9chPT0NqakhmDBhcJu/ExWl2vrqamSRQgHs2cPH+vVGzBwUbQXk6dn2tSKHw4GlpSUsLS3h7e2tUYcoKipiclgcHR1hb2/f5e0YupZZWVmJ4cOH9+v8dx6Px6xaAgICmFbnsrIy1NfXw8jICBwOB7W1td12Um4ZIUD/V1FRgevXrzPOBTweT2fCAqgcSAiCaNW15+zsjIqKCp09jzoGtXIhSRIKhaJHj0EQBHJyclBVVYUhQ4agsLBQqy2szmhsbMT169cxZcqUdu9DURTy8vJQVlaGiIgICAQC5mqF3nNNTeVi7FjdbUuMGVOFUaMeYezYBri5qTqHbGxsUFvLwcmTPJw+zcPVq7weRQrrEwcH1fDn/PlKjBlDamwHNTWpBgA3bjRCUVH3tv6GDJFiz54bqK+vZ+xEHB0dQRAWcHVVnRA5HAqNjc0av0d3uGVkcFFYqLJzaWwEzMwACwuVWaWXl6oJwtOTYpoalEpgzx4p3nvPFgTR9jFv2iTHm2+2nZPSFhQFnDnDwwcfGDG+aIGBJDZvlmP8+O7Ph9E5LHT3mUwmg52dHbOqaa91lqIo3L17F1VVVYiOju6V5MfepqmpCampqczsDN0UQJKkxhZjT/zPRCIRZsyYAX9/f+zfv18nDsstKSsrg5ubG65fv67RjLRu3Tr8+uuvyMvL0/lzGtTKpadIpVKkp6cDAEaOHAmpVKrT7jPgr5ULRVFtrrRoV+WmpibG0K6lsABAdDSJxsYmLF1qjEOHev5nuHrVHlev2uPbb0lMmSLGyJEPMXRoLZydHTFtmiMWLhSAw+Hhzh0OrlzhISWFhxs3uK1aXXsLExMCISENmDrVFNOmAVFRZKtupkePOPjxRz5++YXfYWG8K2RkkODxRkAmkzHbHo8ePYKJiQmefjoG167ZgKJUA5h//illjoXDAby8KHh5df45ys/n4PPPjRAfT/89W59sn3tOiS1b5NC2iSojg4O1a42ZVmsHBwoffKDAK6/0fGaFy+VCIBBAIBBoXLFXVlbi3r17Go7FNjY24HA4IEkSubm5qKurw/Dhw3VevzEEmpubkZqaCicnJ2YrjPY/q6+vZ1Z9tOcYLTRWVlZd3oWpqqrC7NmzERgYiIMHD/a4JtweDg4O4PF4rVYpQqFQbzNIBrVyaRl1rA20KZ69vT0zGNnQ0ICbN29i0qRJOjtGuVyOy5cvY/Lkya22Dpqampi41vDwcPD5fEbc6HbEtigs5CA4WPcWLQ4OBJ5+ugbBwSUYOrQSgwdba8xCtOxwysri4t49LoqL2x4C7C4uLiR8fSkEBpIIDGyGkVE2hg0zRlhYYKuthcePOTh+nIfjx3kdeoNpQ05OM7y8Wn/M6YwRoVCEESM0h2IXL5bjo4+UaGuonCCAe/c4OHeOh8OH+cjM7Hg1NW6cyr/L3V37r9rDhxz8+99GOHJEJVgmJhTeekuJ1asV6I2aeXuOxU1NTVAqlRg2bFiPBxQNkebmZty+fRuOjo6d1mvpCxZ6VUNvrzk6Onbof1ZbW4tZs2bBzc0N8fHxeg8Ii4mJQXR0NLZv387cFhwcjNjY2IFf0O+uuLQ3GNnU1ISrV69i6tSpOjtGpVKJixcvYsKECRofhpqaGqSlpWHQoEEICAjQKNZ1ZW9WKpXi+++L8cknrT3LdEVYWBPCwyvh71+OyEgKQ4YI4OTk1Grbg6JUxeKiIg5KSriorgbq6jioq+OgtlY10Kmac1HNu5iYUDA3V20TWVqq3I6dnVVtzB4eqtsAVXNDZmYmPD09MWTIEHA4HEilquHNK1dUW3faxBK3hMOhWrU/dxTnq45CQcHT0wz19brpuFu+vB4ffMBHF+zq2qS8nIOvvuLj55/5jAfZggVKfPqpAoMH981XlqIoVFdX4+7du5DJZKAoCnZ2dhptvAMBbYSlJepbjLT/WVvvUX19PebMmQOBQIBjx471ysqPbkXeuXMnRo4ciR9//BG7d+9GTk4OBg9uux7YE/q1uHQ2GCmTyZCUlIQpU6bozBaboiicO3cO48aNYz4QdOE+ICAAHh4eTEeI+jZYR9TV1SEjI+N/H+ZAfP65CTZt0r8/h5tbM4YMqUJwcDOioniIiLBEYKAF+Hzdb5WVl5fj9u174PFCUVXljPR0LlJTua2s4ruLlRXVatr/5s1mrf2zkpK4mDVL+y/6a68pMG3aA5iaFiAqKrLb++YVFcA33xjhp5/4TGvzlCkEPv1UjvDwvv2qEgSBjIwMEASByMhIKJVK5iRaXV0NMzMzZmVsa2vbL9MUeyIsbdHU1KSxqvnwww8RHByMx48fw8LCAqdPn9ZJFkxX2b59OzZu3Ijy8nKEhoZi69atOq1Jq2NQ4gKoBKErKBQK3LlzB01NTYiKimrzqoleZUycOFGne5nnzp3D008/DXNzc9y/fx8lJSXtFu47o7KyEjk5OYwVOf07FIU2h/p6A09PKYYMoeDtzYejI9SGKCmYmQEmJiqfLBMT1ZS+QqGymZfJVHkmVVVATY3KeLOkhIMHD+QoLuagqkr3XyIzM6rN+ZLS0qZurxoAVUE+K0vlgFxQAAiFChgZNcHWtgbu7hKMHw8EBNhBIBCAy+UiNzcXNTU13S5sl5cDW7caYc8ePqRS1euJiSHw2WcKjBmjOzPX7qJUKpGeng4Oh4OIiIhWWz305DktNnTBm+4+6w+Z8HSNxd7eHoGBgTrPVZHL5Thw4AD27t2LnJwccLlcTJo0CTNnzsQLL7zQb1u426NfiotEIkFaWlqng5FtrTJ0wcWLFxEdHY3Hjx+jsbER0dHRMDMzY9oKuyIsFEWhoKAAjx8/7tB/iaKAzz83woYNhpfN0pe0Z+X/+usKbNnSs47DjqAnvOnOKqlUCh6PBy6Xi/DwcK2HB8vKONiyhY+9e/mMceeIEQTWrFFg8mSyy51k+kShUCAtLQ1GRkYIDw/vtE2ZLnjTQtPY2AgbGxumDtHZFHxfoG9hoZ9jwYIFkEqlOH36NAoLC3Hq1CmcOXMGx44dg0Ag0Plz9iUGJy5yuRwdHZJIJEJmZiY8PDy6NMx0/vx5jB49Wqf7wZcvXwafz2fErauFexq606a6uhqRkZFdvmI5coSHxYsHXvFUG9qqq9A8fNjU5VkRXaBQKJCamgqFQgETExPGIJFuc+6oa6i0lIOvv1bVVGhReeoplahMnGgYogKovo+pqakwMzNDWFhYt7a66MAvkUiE6upqmJiYMEKjC2v8niKVSnH79m29CotMJsOLL76I6upqnD9/vkvZUf2dfiMu9JX+gwcPEBISAldX1y493qVLlzB8+HCd9Y7X1NTg5s2bcHR0RERERKsp284+mHK5HJmZmSBJEhEREd3qtCkv52DBAuM2UxEHIh0JCgBcuSJFdHTvbh3JZDKkpaXB1NQUYWFhTCphVVUVc8XO5/MZobGzswOPx0NWFgfffacazqQL9aNGqURl/HjDERVAddJNS0uDpaUlQkNDdSICdIceLTa6tsbXFlpYBAIBgoKC9CIscrkcixYtQmlpKS5evDjgVijt0S/ERX0wMioqSquth+TkZISHh+vERI/uSuPxeAgJCYG9vb1W9ZXGxkZkZGTAysoKoaGhOjGlO3qUh5dffvJWMw4OFK5ckfZJ5xTdcm5ra4vg4OA2T7p0aqJIJIJQKEJqqjVOnAjCzZu2zH3GjFGJytixhiUqwF/bRHZ2dggODtbLSZc2bqTFuL6+HlZWVkxTgDbzIt2hN4RFoVDg1VdfRX5+Pi5fvgwHh9YJowMVgxui5HA4GuLScjBS29oJj8fr8SAlRVHIz89HUVERIiIikJ+fD6VSqZWwVFVV4c6dO/Dw8ICPj4/OPshz5xKQSJqgVKrigd96a2ALzfr1crz9trLX7ONb0tDQgLS0NLi4uHS4LcvlcmFlZY8LF5zw3Xd8ZGby/nc7hZEjy/DSSxUYO9b0f7U2CwCGoy50TdPBwUFv20SA6rtuZWUFKysrDBkyBDKZjFn5FRQUgM/na8yL6NIhuDeERalU4vXXX8fdu3eRlJT0RAkLYIArF/Wo49raWqSnp8PBwQHBwcHd+nBdv34dPj4+3Z5CVSqVyMrKQkNDA6KiomBubo6MjAzU1dXB0dERzs7OnbZdFhcX4/79+wgKCurydl5PuX6di48+MtLZIGJf8tFHcrzzjhK92LHZJrRpqZeXV4dBc+XlHOzdy8eePXxUVqruY25O4W9/U2LFCiVcXaVMQwBdg6C3z/q6hZcOwRo0aFCXnX/1gfrKTywWQyaTQSAQMKuanjTo9IawEASBt956Czdu3EBycnKvfe8NCYMVl9LSUuTm5sLPzw+DBw/u9gfg5s2b8PDw6NYft7m5Genp6eDxeIiIiICRkRHTalxbWwuhUAiRSASKouDg4AAnJycN0z96Dqe8vFxnW3PdgSCA8+e52LLFCNevG77YzJqlxP/7f4ouDT/2FnQWvL+/P9zd3Vv9nKKAGzdUrtTHjv1VT3FxIfH3vyuxbJmyTcsXugZBiw1JkhoGkvqyA2mL+vp6pKWlwcPDgxlyNQRoR2e6TkM7OncnWVIqlSI1NZXZ0tTHayRJEu+88w6Sk5ORlJSkl6yU/oBBiktubi4zO9LTpeTt27fh7OystcMovWpydHREUFAQADArKvXCPUVRqKurg1AohFAohEwmYyJM6X9HREQYnKlfdTVw7JjKOTkpqe8EZ8QIGZYsofDccyQMdcC7rKwMd+/ebTMLXiwGDhzgY/9+Pu7e/WvFMWoUgddfVyI2luiy95d6C69IJIJEItEwkNTnZ4i2T/L29oaXl5fenkcXKBQKRmiqqqoYR2c6WbI9u5XeEpb33nsPZ86cQVJSEuNy/CRicOKSlpaG6urqdgcjtSU9PR12dnZafWHKy8uRnZ0NPz8/eHp6MvMrdIJce9BXWGVlZSguLgZJkrC1tYWzszMcHR17dRK3uygUKsPIW7e4uH2bi7t3ucjL40Is1v6LaGlJwd+fRHAwhYgIEjExJIYOJcHl0p5eQojFYmblR1+tt3dy6AsKCwvx8OFDZkgWUA2OJidz8fPPfJw48Vd2jpkZhfnzCbz+ugIRET3/WjU3NzNCU1NTA3Nzc2b7jDaQ1AXV1dXIyMiAr69vv7vKpncR6Cn4pqYmJoNF/Tsnk8lw+/ZtvQvL2rVrcfToUSQlJcHX11fnz9GfMDhxqa2tBZ/P19l2wJ07d2BhYQEfH59O70tRFB48eIDCwkKEhYX9z5Jdu4l7dSsXLy8v5gqrpqYGlpaWcHJygpOTk0EOknUVhUKBjIwMkCSJyMjIHk1f0ys/VVeVKrqY3lt3dHTsM1NE+rNQWlrKJCuWlnLw22887N/P18h4iYwk8MorBJ57Tqk3M0mlUqnR5kznwGubv9KSqqoqZGZmIiAgAG5ubjo+6t6nqamJeY9oQbazs4NIJIKdnR1CQ0P1Jiyffvop/vOf/yA5ORkBAQE6f47+hsGJi1Kp1KlNfk5ODvh8fqd/bIIgkJWVhbq6OkRFRcHS0lJrYamoqEBubi58fX3h4eGh8Tt0OJNQKERVVRVMTVWdQk5OTjq9CtU3dB3K3NwcQ4cO1XkmO52WKBQKW2Wv9JYgq+eUhIVF4do1a+zbx8e5c1yQpOr5bWwovPCCEn/7m1InqxRtaMsloDvFbqFQiOzsbAQFBWFQW/bP/RyFQoHKykrk5+eDJEnweDwNSxpdXcBSFIX169fjp59+wuXLlxESEqKTx+3vGJy46DrqOC8vDyRJIji4/fx6elhMvXCvntnSFSuXx48fo6CgoEMrFxqCIFBVVcU0BHC5XEZoaK8qQ6S+vh7p6elwcnLSa4sqDW1lLhQKma4qJycnpqtKX10+2dnZePSIQHp6NH7/XTPj/umnCSxZokRcHNHn3Ws0tCCrF7s7cwmoqKhATk4Ohg4dCicnpz44av0jk8mQmpoKa2trBAcHMxksdD3L1taWWf2Zm5t36/NEURQ2b96Mbdu24dKlSwgP15+reX9jwItLfn4+ZDIZQkND2/w5Xcik252Btgv37UFbudTU1CAiIkJr87mWnWdKpZL5wDs4OBhM/UEsFuPOnTsYMmRIj7r3ugstyPRJFABzAu3JtpA6KqPTXOzePRgXLriAIFSv0cGBwksvKbFkiRL+/gb1dWkFvUKmi93qLgH0hUtZWRny8vIQFhY2YGcv1IUlJCSk1ee1ublZY8u6O+3gFEXhu+++w6ZNm3DhwgVER0fr6+X0Swa8uDx69Aj19fWIiIho9bOKigpkZWXB19cXgwcPZlYrQNcyWHRh5aIORVFoaGhgOs+ampqYZXxf1h9KS0uRl5eH4OBgg9g+oSiKycxQ79Cj36fu1IDkcjl+/vkRPv54KBoaVNslY8cSWLZMiVmzCPTHPCz1WRGRSASFQgEzMzNIJBIMHTpUbwmEfQ0tLLQTRmcXQvSFCy02XYkwpigKO3fuxBdffIGzZ88iJiZGXy+n32Jw4kKSJBQK3bnaFhYWQiwWa1xVUBSFR48e4dGjR0wODEEQXd4GA/6ycqGvjHRdewBa1x9sbGyY7bPeaG2m36eioiKEh4cbpCcS3aFHv08NDQ3M+0TXaTqjubkZSUlZWLZsNOrqjBAZSWDrVgWGD+97q3tdQbtMFBcXw8zMDE1NTQbvVNwd5HI5bt++3WVhaQl9gUcLcmNjI1P3s7W1Zeqje/fuxYcffohTp07h6aef1tOr6d8MeHEpKSlBWVkZRowYAeCvPXU6e6M7hXt9Wbl0hEwmY06g1dXVsLCwYOoP+vBgIkkSd+/eZZybLek4SQOHduCl36fO2ncbGxuRlpaGP/4IwhdfDEZgIIlr16QGU0/RBXRNsKioCFFRUbC2tmY+T4boEtBd1IUlJCREJ6+B/jyJxWIcOHAA//3vfxEeHo6rV68iMTERU6ZM0cGRD0wMY0Nfj6h7i9FOthwOB0899RSMjY21FhbayqW3t4hMTEzg7u4Od3d3jSGywsJCGBkZaRS6e/qlUiqVuHPnDmQyGYYPH94rEay6wtTUlHmf1Nt309PTmcYJuv7Q0NCA9PR0eHp6oq5O5eAwcaLhFOp1Ad1SXVZWhujoaKYmqP55Ut8WysrK6lOXgO5CRwNYWlrqTFgAzc+Tj48PjI2NcfToUVhZWWHu3LmYPHkyXnzxRTz//PM6eb6BhMGtXLSNOu4MoVCI+/fvIywsDGlpaRAIBMwQlbaF+/v376OiogIREREGk8egbh8iFAoBQKPzTNvtOplMhvT0dCYYylAaCnqKera5UCiEXC4HSZIYNGgQ/P39UV9vjHv3uLC3pxAYaFBfiW5DURTu3bsHoVCI6OjoLm0R9qVLQHehhcXCwkJn0QBtER8fjzfffBP//e9/MX36dGRnZ+PkyZMAgDVr1ujlOfszA15c6CExgiAwZMgQeHt7a124p6/kpVKpQVq50NCFbrrzTC6Xw97eHk5OTnBwcOj0CrSxsZFxNGjPSn4gUFZWhtzcXDg6OqK5uZlJSqRXf4b699UG9VmdYcOGddsdordcArpLbwnL8ePHsXTpUvz++++IjY3Vy3O0ZMeOHdixYwcKCgoAACEhIfj4448xffp0AKq/8WeffYYff/wRNTU1iImJwQ8//GAwczYDWlwoikJubi6Ki4sREREBZ2dnrbfBmpubkZGRARMTEwwdOrRfbBEAf2Vl0ELT2NgIOzs75gTacqururoamZmZ8PT0NCjTQl1TVFSEBw8eIDw8HPb/c5KUSjVdis3NzZn3SRtTREOBJEnk5OSgvr4e0dHROtvWVCgUGl1VtKeXLtvBtaG3hOX06dNYvHgx9u/fj+eee04vz9EWJ06cAI/HY2xk9u/fj02bNiE9PR0hISHYsGED1q1bh59//hn+/v744osvcOXKFdy7d0/rkQh9YHDiAqi2ZnoKSZLIzs6GWCyGUqnE5MmTtRaW2tpaZGZmwsnJCQEBAf36Sr65uZkRmtraWlhZWTFWNA0NDcjJyUFgYOCAsABpC7rzjb7QaG9bkz6B0hYiPB6v1ZyIIUOSJLKystDU1ISoqCi9ta/ryiWgu9DCQjtF6OvvcvHiRSxcuBC7d+/Giy++qJfn0AaBQIBNmzbh1VdfhaurK1atWoX3338fgOq86ezsjA0bNuD111/v4yMdoOJC1w0oikJgYCBu3ryJiRMngqIonVi59HfkcjlTe6iqqgJFUXB2dsbgwYP75ZV6Z1AUhby8PIhEIsbapyu0NSeiPuBqaKtYgiCYRoyoqKgeeb5pS3suAU5OTrC0tNTpZ0oulyMtLQ1mZmZ6FZaUlBTMnz8f27dvx6JFi/r0e0EQBA4fPozFixcjPT0dpqam8PHxQVpaGiIjI5n7xcbGwtbWFvv37++zY6UxyGptyzRKbWhoaGBstUNDQ0EQBHg8HtLS0pgr9Y6uqtRnO7pi5dIfMTY2hqurKxoaGsDn8+Hl5cUkLNJX6k5OTrCzszP4K/XOoFewDQ0NGD58uFa1By6Xy8QnBAQEMPMPBQUFyMnJYQrdhuB4TRAEMjIyQBAEoqOje134LCwsYGFhAS8vLw2XALqbUT1RsiefKYVC0SvCcu3aNSxYsADffPNNnwpLVlYWRo4cCalUCktLSxw9ehTBwcG4fv06ALQahHV2dkZhYWFfHGorDFJcuotQKERmZia8vb0xZMgQZgvsqaeeYmYf7t+/D2tra0Zo1Iu3BEEgNzcXtbW1GDZsmEHsW+oD2qSzqakJMTExzImRvlIXCoXIyckBQRAaIWj9rXNMqVQiMzMTSqUSw4cP79GVPIfDgbW1NaytreHj46NR6L5//77e5446gnap5nA4iIqK6vO/E33x4urqqrH6u3v3LhQKBeOm0N70e3soFAqkpqbqXVhu3ryJ+fPn46uvvsLSpUv7dMUSEBCAjIwM1NbWIj4+HosXL0ZKSgrz85bHRg+CGwIGuS0ml8u1WrlQFIWCggI8ePCAsbUgSRIEQbTaBmu5JUSfFOzs7JCfnw8Oh4Pw8PA+s1rRN3K5nDkR0SadbUG3pNJ1mubmZggEAuYE2ptbLt1BLpcjPT0dfD5f7y3V6nNHYrEYRkZGzIpG36s/+kqebh3v7aK6NtBNJrQot3RT6Mg8khYWU1NThIWF6e09TU1NxZw5c/DJJ5/gnXfeMZgTNc2kSZPg4+OD999/n90W6w7abIvRnTFisRgjRoyAtbV1h4V7Y2NjuLm5wc3NjTkplJWV4dGjR+DxeHBzc4NUKoWxsbHBfbB6SlNTE9LS0rpkWcPhcGBjYwMbGxv4+flBIpFAKBSipKQEd+/eZVp3nZyc+nxLqCW0y7WFhYVer3BpjIyMMGjQIAwaNAgkSTJzR/Tqj24H1/VAIj0UrO+itq7gcDiwsrKClZUVhgwZwky/i0QiPHz4sF2XgN4SlszMTMTGxmLNmjUGKSyASqBlMhm8vb3h4uKCCxcuMOIil8uRkpKCDRs29PFRqjDIlYtCoWAGHDuCvjolCIIpYNKpkV0t3NNTye7u7rC2tmauqng8HnPy7K92GOrU1dUhPT2dGRrsyReHbt0VCoVMCJq+irfaIpFIkJaWBnt7ewQFBfXpsbQ3kNheO7g20JG99IVCf/98qrtei8VixiVAIBCguLhY78KSk5OD6dOn45133sGHH35oEMKydu1aTJ8+HR4eHmhoaMDBgwfx1Vdf4ezZs5g8eTI2bNiAL7/8Evv27YOfnx/Wr1+P5ORkthW5I7oiLo2NjcyXi75qo21eumo+WVxcjPz8/FZhSfQ+cWVlJUQiESiKYk6e9vb2/e6LTIdC6SPGll790ZHF9NUnLcq9+SWlBZS26jCEE4Q6dEoi3Q5OJ5M6OjpqJcrNzc1ITU1lhl0N7XX2FFqUKyoqUFJSApIkNURZ1yvlvLw8TJ8+HX//+9/x73//22Dez6VLl+LSpUsoLy+HjY0NwsLC8P7772Py5MkA/hqi3LVrl8YQZXvxIr2NQYpLZ2mUIpEImZmZGDx4MHx8fDQm7nVt5aI+9S4UCqFQKDSEpq+Lp51BC2hISIjeLdZpKxq6TsPhcDRmRPRZD6CdGPpLDrx6R5VYLIaxsXGX/OEkEglSU1OZ2StDORHqGrqWZGxsDH9/f2ZVU1NTAwsLC6YhoKcuAfn5+Zg+fTpefvllfPXVV/3uwtGQ6VfiQlEUCgsLmZMlvcfdVuG+PRQKBbKysiCVShEZGanVVVDLvJXm5mZmP93R0dGg5h7UM+D7wgutpZeXPmdEKisrkZ2dbTB5M9qi7g9H54moB6HRFzD0at3V1RW+vr5PhLCEh4drnPBbDrn2xCXg8ePHmDZtGubNm4ctW7awwqJj+o240ImPQqEQUVFRsLGx6ZaVCz2ApAsrF9peRSgUorGxUaObqi+7zegmh7q6OkRGRnbJsFCfqGdkCIVCSCQSnb1XJSUluH///oCZSaIoSmPyvampCQKBAFZWVigpKRnw9jwKhULDOLWjE776BYxIJIJMJuuyS0BRURGmTp2KmTNn4vvvv2eFRQ8YpLi0TKOk22cVCgVjaaFt4b62thYZGRlwcXGBv7+/zj9MtL2KUChEXV1dn3VTKRQKxqhTF+mY+qCpqYnZOqurq2Pmjroa7gX8lVFSWFiIyMhIg3Gp1jUSiQRFRUUoKSkBgFbv1UASGaVSibS0NKZ9XJtVCEVRGjWturo6WFlZMStA9ZpWWVkZpk6digkTJmDXrl2ssOgJgxcXOszJ0tISQ4cO1chn6Wrhvry8HLm5ufDz8+uV/fiWwV504ZbuptIX9MrMzMwMYWFhBj3zQKMeWlVVVdUl00jaSr6yshJRUVEG0RmjL6qrq5GRkQE/Pz84OztrvFd92Tyha3oiLG2hXtOqqqpCcXExkpKSMH78eGzduhUjR47E3r17+8V3pL9i0OIiFouRkZEBT09P+Pr6al24b2nl4uDg0BuHr4FCodAY2jQzM2OERpeT3HTwlYODAwIDA/vl1Rj9N1c3jWzZDq6+5RcdHW1wMza6RCwW486dOwgICGhlKKreuisSiQBAw02hP500dS0sLSFJErdv38a2bduQlJSEhoYGzJkzB3PmzMGMGTMGxHaqIWKw4vLw4UMm8dHV1ZWpr3A4nC6dOAmC0Kg7GEJML52MSG8J0QmSPb3ypGOXvby84OXl1a+vYGnoYUT6vaIoCvb29pBIJKAoSq+Ov4aAUChEVlYWQkJC4OLi0uF96Y7Glg7FdI6PIb9P+hYWmqqqKsycORO+vr5Ys2YNzpw5gxMnTqC2thb5+fl6ec4nHYMUl+LiYmRnZzN76doW7mUyGTIzMwEAERERBmlVQpKkhtDQbbvOzs5aWYaUlZXh7t27/bZTqitQFIWqqirk5OQw26XqIWiG+PftCRUVFcjJycHQoUPh5OSk1e9SFKXhUFxfX9+tmlZvoFQqmfjpiIgIvQlLbW0tZs2aBXd3dxw5ckTj8yKRSPT2nnz55ZdISEhAXl4ezMzMMGrUKGzYsAEBAQHMfQw98KsnGKS4KJVKSCSSbk3c02mKtra2CA4O7hfbA3TXC90QQBCExixNW69BvaAdHh4OgUDQB0feO0ilUqaWFBoaCqlUqtGlZ2trq7cBu96mtLQU9+7dQ1hYmE62cdVrWtXV1TA1NWXeq75MkuwtYamvr8ecOXNgb2+PY8eO9eoqbtq0aXjhhRcwfPhwKJVKfPDBB8jKykJubi4jaIYe+NUTDFJcCIKAXC7XunAvEomQnZ3dr9s11Q0jKysrIZPJmL10R0dH8Pl8kCSJvLw8iMViREZG9vsPYUfQdi4CgQBBQUGtVnQtY3jVmyf6WzcVPfAaERGhl4sFeluWrmlxOBzms6XvIdeWx9EbwtLY2Ii4uDiYm5vjxIkTfX7hIRKJ4OTkhJSUFIwdOxYURRl84FdPMEhx+e6771BVVYXY2Ngutw0XFRUxw5Wd7VH3F9Sjiun5EDs7OyZMLSoqSu+Jf31JfX0944fm5+fXqVDQHUJ084SpqSmzAjSEvPeOKCgowOPHj3utrbqtGZHe2GrsLWGRSCSYN28eOBwOTp06ZRA11wcPHsDPzw9ZWVkIDQ3Fo0ePDN7ZuCcYpLgkJCTgp59+wqVLl+Dn54fY2FjExcW1eeVKW7lUVlYiPDx8wM47AKq94zt37kCpVIIkSWY7qLMAtP5IdXU1k83j5eWl9e/T3VR0TYvL5TJCY0hxxerxy1FRUbC2tu6TY2jPCr9l5lFPIAgCaWlpeheW5uZmLFiwAFKpFGfPnjWIlT1FUYiNjUVNTQ2uXr0KALh+/TpGjx6N0tJSuLq6Mvf9+9//jsLCQpw7d66vDlcnGKQx1rPPPou5c+eirq4Ox48fR3x8PLZs2QJPT0/MmTMHc+fORVhYGKqrq7F161bMnDkTI0aM6PNlrz6RSCTIysqCQCBAcHAw5HI5s6LpKACtP0IbbbbVgttV1NuY1Wtad+/ehVKp1LhK7yt/ONqip6ysDMOGDeuzq+u2rPBpoXnw4AHMzc0ZoeluDDZBEEhPT2dyhPQlLDKZDC+99BIaGxtx/vx5gxAWAFixYgXu3LmDa9eutfqZIQd+9QSDXLm0RX19PU6dOoX4+HicPXsWdnZ2IEkSgwYNwqlTpwzmQ6QPampqkJGRAQ8PjzbdftsLQDMEC3xtoQvaoaGhWndKdYWW/nBNTU1MMmJv2vbQg6BCoRDR0dEG1cWlTsvZI3oFqI0ZKS0sABAZGak3YZHL5Vi0aBFKS0tx8eJFg2lyefvtt3Hs2DFcuXIF3t7ezO3stpgBcunSJTz77LPw9PREcXExrK2tMWfOHMTFxSEmJqZfdIh1lcrKSuTk5MDf3x/u7u6d3p8+GdAW+LTbbn+qO/Rm9xvdtisUClFfX6+X7aCWUBSF3Nxc1NTU9KtBUPXIYpFIxEQW0yvAtrz6ektYFAoFXnnlFTx48ACXL1/uk4HpllAUhbfffhtHjx5FcnIy/Pz8Wv3c1dUV//jHP/Cvf/0LgEognZyc2IJ+X3Du3DnMmzcPGzduxPLly9Hc3Izz588jISEBJ06cgKmpKWbPno25c+di1KhRBm+J3xGFhYV4+PBht00ZW9YdDDUAjaIo5Ofno7y8HJGRkX1SdwBa2/bQK0BHR0eduSnQDgP19fWIjo7ut7Uy9WYTkUjUZks4QRDIyMgASZKIiorSm7AolUq89tpryMrKQnJysl5WvN1h+fLl+P3335GYmKgx22JjY8NcUBh64FdP6HfiQud2TJgwodXP5HI5Ll68iISEBCQmJoLD4WDWrFmIi4vD2LFj+82wHUVRGnkzNjY2PX5M+qqT3g4ylAA02u26trYWUVFRBlMvokPQ6O0g2k2hs7yVjiBJEllZWWhqahpwDgMtW8ItLCygVCrB5/MxbNgwvcVREASB5cuX4//+7/+QnJxsUIPE7V2M7Nu3D0uWLAFg+IFfPaHfiUtXUSgUuHLlCg4fPozExETIZDLMmjULsbGxmDBhgsF+sQmCQHZ2NhobGxEZGamXky1t615ZWamRteLs7NyrAWgEQSArKwvNzc0GfbJVz1sRCoUAoNF51tW6Q2ZmJuPsbUjZP7pGKpUiLS0NcrkcJEmCz+cz75c27hOdQZIkVq5ciStXriApKQkeHh46eVwW3TBgxUUdgiBw7do1HDlyBMeOHUNDQwOmTZuGuLg4TJo0yWCululoAaD3bGv6KgBNoVBovNb+crJVTyYViUSQy+Wd1h2USiUyMjJAUVS/eq3dQX0rLDIyElwuVyMIjSAIpoGiJ6FxJEli9erVOHfuHJKSkrrVrs6iX54IcVGHJEncuHGDERqRSIQpU6YgLi4OU6dO7bN20KamJqSnp8PS0hKhoaF91pRAzztUVlaisbGRyS53cnLS2cpCJpMhLS0Npqam/SYaoC3aqjuoZ72bmpoy4Vc8Hk+vLbiGAL06IwgCkZGRrVbAtPsELTT0UDC9qulq/YkkSaxZswbHjh1DcnIyfHx89PFyWHrIEycu6pAkidTUVMTHxyMhIQElJSWYNGkS4uLiMH36dJ3UOrpCXV2dRpCZoXR06SMArampCWlpaYz3m6E0FegC+v0SiUSora2FpaUlZDIZzM3N9VrQNgRoYVEqlYiKiurS1qp6uBf9ftFC014LPUmS+PTTT/H7778jKSlJo1DOYlg80eKiDl1sPXLkCBISEvDw4UNMmDABsbGxmDlzJuzs7PRy0heJRMjKyoKPjw8GDx6s88fXFboIQGtoaEBaWprBiag+oPN1KIqCUqlkDCN7MohoqHRHWFrSMtzLyMhIIwiNy+WCoiisX78eP/30Ey5fvjwgnIMHMqy4tAFFUbh79y4jNLm5uXjmmWcQGxuL2bNnw8HBQScnBzr/PSQkBM7Ozjo48t6hOwFo9CDoQMqcaQ+pVIrU1FTY2NggODhYI16BDkHTR4G7L9CFsLT1mOp1mh9++AFKpRJOTk44deoUkpKSEBYWpoOjZ9EnrLh0Am3RQQtNRkYGRo8ejdjYWMyZMwcuLi5anygpisLDhw9RXFyMiIgI2NnZ6eno9Q9BEBpDm3w+v1UAGr066+ogaH+mqakJqampsLe3R1BQUKvPhnpLOF3gVk+Q7E9zWSRJanTA6ePYKYrC1atXsW3bNly9ehVSqRQTJ05EbGwsYmNjDar1mEUTVly0gKIoFBQUID4+HkePHsXNmzcRExPDfNDd3d07FRp6rqOmpgZRUVEGa/vRHdTTI4VCITgcDiwsLFBbW4uQkJABfyKQSCRITU2Fk5MTAgICuhTDTccriEQiNDc3MwmSjo6OBj2XpS4skZGReuuAoygKO3bswBdffIFz585BIBDg+PHjOHbsGKZPn461a9fq5XlZeg4rLt2EoiiUlpYiISEB8fHx+OOPPxAVFYW4uDjExsa2ufWjUChw584d5gtpqHMduoAkSdy7dw+lpaXg8/mthjYHWnGbrie5urrC19e3W9t+EomEEWbambinDRT6gBYWuVyu15kdiqKwZ88efPTRRzh9+jRGjx7d6uf63F69cuUKNm3ahNTUVJSXl+Po0aOIi4vTeP6BmiKpC1hx0QEURaGiogLHjh1DfHw8UlJSEBoaygiNn58fHj16hP379yMuLg5hYWH9avtDW+itxNLSUsbOpb0AtJ7MOhgKdXV1SE9PZ0LqdAHtTCwUCpkQtM46qXqD3hSWX3/9Fe+99x5OnDiBcePG6eV5OuLMmTPMReO8efNaictATpHUBay46Bg67z0xMRFHjhzB5cuX4eXlBbFYjJiYGBw8eHDAC8vdu3dRVVXV5rYfnfFOuwNIJBJmK8jJycmgt4Laora2Funp6RgyZIjeuv1oKxq6rmViYqLRSdVbQtObwnLgwAGsWrUKiYmJmDhxol6eRxs4HI6GuAz0FEldwIqLHqEoComJiVi4cCECAgJw9+5deHl5MZk0Q4cO7dedQi2hrWskEkmXUzKbmpqYraD6+vp+FYBWXV2NjIwM+Pn59Zr1CN1JRddpOByO1hb43YEkSdy5cwcymUzv9jVHjhzB8uXLcfjwYUyfPl1vz6MNLcVloNvl64KBewltACQmJuKll17Cjh07sHjxYtTX1+PkyZNISEjApEmT4OLiwghNVFRUvxYa2uKEJEkMGzasyysQc3Nzpj1ZfSvo/v37sLKyYoTG0Bof6A64wMBAjRRBfUO3MTs6OmpEFefl5TEecT21VmkJLSxSqRTR0dF6FZbjx4/jzTffxIEDBwxGWNqioqICAFqNEDg7O6OwsLAvDsngYMVFj0RERCAxMRGTJk0CAFhbW2PhwoVYuHAhGhsbcebMGSQkJGDWrFmws7PDnDlzEBsb2+8yaeRyOdLS0mBsbNyjzA5TU1N4eHjAw8NDIwDt4cOHBhWAVllZiezsbISEhMDFxaXPjoPL5UIgEEAgEMDf3x8NDQ0QiUQoKChATk6ORudZd5tHelNYTp8+jaVLl+KXX37BnDlz9PY8umSgpkjqAnZbzACgM2ni4+Nx8uRJmJqaMuFnhp5J09zcjLS0NFhZWSE0NFQvqy9DCkArLy9Hbm4uhg4dajC5IW1BbzeKRCLU1dUxMdiOjo5dXgXSrhXNzc16F5YLFy7gpZdewu7du/Hiiy/q7Xm6C7stpj2suBgYMpkMly5dQnx8PBITE8HlcjF79mwmk8aQOqsaGxuRlpbW5bkOXdAyAI3L5TJCo+9pd9pRITw8HPb29np7Hl1DW/fQ1irm5uaM0LRnRdObwpKcnIwFCxZg+/btWLRokUFe+bdX0B+oKZK6gBUXA0ahUCAlJYVxcFYoFEwmzfjx4/t0TobukqLbb/vihNBRAJqui9tFRUV48OABIiMj+7WjAr0KpEPQ2kon7U1huXbtGubNm4etW7di6dKlBiUsjY2NePDgAQBVRPOWLVswfvx4CAQCeHp6DugUSV3Aiks/gSAIXL16lXEHaGxsxPTp05lMmt4cshOLxbhz506vdkl1Bh2ARs/S0MVtepamJ1uLjx8/RkFBAaKionrNKbs3UHdUEIlEoCgK9vb2aG5uhlKp1KoxozvcuHEDc+fOxfr167F8+XKDEhZAtaIaP358q9sXL16Mn3/+eUCnSOoCVlz6IQRB4MaNG4zQiMViTJ06FXFxcZgyZYpeM2nomkNfF7M7oq0ANIFAAGdnZzg4OHT5hElRFB49eoTi4mJER0cP6KtROgQtNzcXzc3N4HA4GiFouhaZ1NRUzJ49G5999hlWrlxpcMLC0nNYcenn0Jk0R44cwdGjR1FSUoLJkycjNjYWM2bMgLW1tc6ei94a6m81h5a2Kl0JQKMoCvn5+SgvL0d0dHSfhcj1FiRJaswoKRQK5j1rbGxk5o8cHR17vErOzMzEzJkzsWbNGqxevZoVlgGKwYhLQUEBPv/8c1y+fBkVFRVwdXXFyy+/jA8++EDjqqmoqAhvvfUWLl++DDMzMyxcuBCbN2/ud5Pd+oBuG6UdnB89eoSJEydizpw5mDVrVrenudWv4CMjI/v11lBzczOTtKneReXk5MTEXVMUhby8PIjF4gFnLtoW6sISHR3d6rtEv2cikYixolGfP9LmM5WdnY0ZM2Zg1apV+OCDD1hhGcAYjLicPXsWhw4dwosvvghfX19kZ2fjtddew6JFi7B582YAqu2giIgIODo64uuvv0ZVVRUWL16MZ599Ftu2bevjV2BYUBSF3NxcZkWTm5uLcePGITY2FrNmzepyJg19ohWJRIiKihpQV/BtBaA5OjqioaEBDQ0NGDZsmEEZRuqDzoSlJXSoF53lY2pqyjRRdNYWfvfuXcyYMQOvv/46PvvsM1ZYBjgGIy5tsWnTJuzYsQOPHj0CoDKSmzVrFoqLi5mp6IMHD2LJkiUQCoU63QIaSNBbPLTQZGRk4Omnn2YyaZydndttR83OzkZDQwOioqIG9ImW3gZ6+PAhZDIZzMzM4OzsPCCTI2lIkkROTg4jpNqu/ttqC1fv1lNvC8/Pz8e0adPwt7/9DV9++WW/dqNg6RoGLS4ffvghzp49i9u3bwMAPv74YyQmJiIzM5O5T01NDQQCAS5fvtxmZweLJuqZNAkJCfi///s/PPXUU0wmjZubGzgcDmpra3H9+nXY29sjMjJywG870luKzc3NiIiIYFyc2wtA6+9QFMVcOOiiK4y2oqGFRqlU4v79++Dz+Rg+fDjmz5+P5557Dl9//TUrLE8IBjv6/fDhQ2zbtg1ff/01c1tFRUUrLx87OzsYGxszXj8sHcPhcODt7Y3Vq1fjn//8J0pKSpCQkICEhASsWbMG0dHRmDp1Kv773//C19cXv//+u0E7BOgCOqpXoVBg2LBhMDIyYlYu6u269EUNLTQtr877C7oWFkDTiiYgIAANDQ1ITU3F3r17UVJSAjc3NwQGBkIkEvWrSG+W7qP3b8ann34KDofT4X/0yoSmrKwM06ZNw/z587Fs2TKNn7V11cj6+XQPDocDDw8PvPPOO0hOTkZxcTHmzJmDLVu2QCKRoLy8HN988w3y8/NhwAvcHqFUKpGeng6CINocGORyuXBwcEBwcDCeeeYZhIWFgcvlIjc3FykpKcjKykJlZSUIguijV6AdFEUxW2FdqbF0Bw6Hw/jocblcPPfcc1i+fDn2798PNzc3rFixQufPyWJ46H1bTCwWQywWd3gfLy8vxl69rKwM48ePR0xMDH7++WeNK0N2W0y/5OXlYcqUKZg2bRr+/e9/4+TJk4iPj8fly5cREBDAbJ21lQ3fH1EoFEhPTwePx0NERIRWE/3qEcVCoRBSqdTgA9BoYamvr0d0dLReHR4qKiowbdo0jBw5Env37mXe2/LycohEIoSFhentudtj+/bt2LRpE8rLyxESEoJvvvkGY8aM6fXjeFIwqJpLaWkpxo8fj+joaPz222+tvux0Qb+kpITJYz906BAWL17MFvR1wHfffYfKykp88cUXjHjQw3WJiYlISEjA+fPn4e3tzUQF6MusUt/QTs4mJiYICwvrkVUMHYCmPhdiaAFovSksQqEQM2bMQEREBH755ReD2FY9dOgQFi1ahO3bt2P06NHYtWsXfvrpJ+Tm5sLT07OvD29AYjDiUlZWhmeeeQaenp745ZdfNL7s9CQ43Yrs7OyMTZs2obq6GkuWLEFcXBzbitxL1NXVMZk0Z8+exaBBgxihiYyM7BdCI5PJkJqaCktLS72IY8sANBsbGzg7O+tkALE70G3ptbW1GDZsmF6FpaqqCjNnzoS/vz8OHDhgMCu4mJgYREVFYceOHcxtQUFBiIuLw5dfftmHRzZwMRhx+fnnn/HKK6+0+TP1QywqKsLy5ctbDVH2pYnjkwqdSRMfH4/Tp09DIBAwDs4jRowwyEya5uZmpKamwtbWFsHBwXoXQ/UAtJqaml4PQOtNYampqcHs2bPh4eGBw4cPG8SKDVCtUs3NzXH48GHMnTuXuf2dd95BRkYGUlJS+vDoBi4GIy4s/ZumpiaNTBpzc3Mm/MxQMmmampqQmpoKe3v7Pqkb0QOIlZWVqK6uhpmZGZycnODs7KyXADR1YYmOjtZrbHRdXR1iY2Nhb2+PY8eOGdTFXllZGdzc3PDHH39g1KhRzO3r16/H/v37ce/evT48uoFL33/jWQYE5ubmiIuLQ1xcHKRSKS5duoSEhAS8/PLL4PF4zIpmzJgxfbJVIpFIkJqaCmdnZ/j7+/dJQ4KxsTFcXV3h6uqqEYB269YtnQeg9aawNDQ0YN68ebC2tkZCQoJBCYs6bGpk78KuXFj0ikKhQHJyMuLj45lMmtmzZyM2Nhbjxo3rlRMRPXPh7u4OHx8fgzuhEATBzNIIhcIeB6BRFIW7d++ipqZG78IikUgwb948cLlcnDp1yiB92Nhtsb6BFReWXkOpVOLatWtM+FljYyNmzJiBuLg4TJw4US/F7rq6OqSlpcHLywve3t46f3xd09MANFpYqqurMWzYML0KS3NzM+bPnw+5XI4zZ84YdCRBTEwMoqOjsX37dua24OBgxMbGsgV9PcGKC0ufQGfS0H5n1dXVGpk0urgCrqmpQUZGBoYMGYLBgwfr4Kh7F/UANKFQCLlc3mEAWm8Ki0wmw4svvoja2lqcO3fO4J2y6VbknTt3YuTIkfjxxx+xe/du5OTk9MvPRn+AFZdusm7dOpw6dQoZGRkwNjZGbW1tq/uw8QBdgyRJ3L59mxGasrIyJpNm+vTp3ZpfqqqqQmZmJvz9/eHu7q6Ho+5dKIpCY2MjKisrNQLQ6IwVIyOjXhMWuVyORYsWoaysDBcvXuw3sc/bt2/Hxo0bUV5ejtDQUGzduhVjx47t68MasLDi0k0++eQT2NraoqSkBHv27GklLmw8QPcgSRKZmZmM0Dx69AiTJk3CnDlzMHPmzC4ZR4pEImRlZSEwMJBxzx5otAxAMzY2BkmSes/bUSgUWLJkCR49eoRLly7BwcFBb8/F0r9hxaWH/Pzzz1i1alUrcWHjAXqOeiZNQkIC7t69i/HjxzOZNPb29q2EprKyEtnZ2QgNDX0iDBJpE8qqqiqYmZmhoaGhzQA0XaBUKvHaa68hOzsbSUlJcHJy0tljsww82FZkPfHnn38iNDRU48p56tSpzHQ464PWORwOByEhIQgJCcHHH3/MZNLs3bsX77zzDsaMGYPY2FjMnj0bzs7O2LVrFxQKBV544QU4Ojr29eHrHTrIra6uDjExMTAzM4NcLmdWNA8ePICFhQUzS6NtaqQ6BEFg+fLlyMjIQHJyMissLJ3CioueYOMBdAuHw4G/vz/Wrl2LNWvW4PHjx4iPj8fBgwexevVqhIWFITc3F1u3bn0itmooisK9e/cgFos1EjONjY3h7u4Od3d3KBQKZpamoKAApqamzIpGmwA0kiSxcuVK3LhxA0lJSYyvHwtLRxi+EVQv0p14gI5g4wH0A4fDwZAhQ/Dee+/h+vXr+OCDD5Cbm4vo6GisWLECEydOxLfffouCgoIBGRVAC4tIJOowitnIyAiDBg1CeHg4xo0bBz8/P8hkMqSlpeHq1avIy8tDdXV1h+8RSZL45z//ieTkZFy8eBEeHh76elksAwx25aLGihUr8MILL3R4Hy8vry49louLC27evKlxW01NDRQKxRNRC+gtvv76a3z33Xe4cuUKhg0bhvLychw9ehQJCQn4+OOPERYWxkQF+Pr69nth76qwtITH4zGrFvUAtDt37gBoOwCNJEmsWbMGp0+fRnJycpc/+ywsAFvQ7zGdFfTZeAD9Qjszh4eHa9xOURTEYjEjNJcvX0ZgYCBiY2MRFxeHwMDAfic0FEXh/v37EAqFWglLZ49JxxPTszT79u3DpEmTcO/ePRw+fBjJycnw9/fXwStgeZJgxaWbFBUVobq6GsePH8emTZtw9epVAICvry8sLS3ZeAADgqIo1NTU4Pjx44iPj8eFCxfg7e2N2NhYzJ07FyEhIQYfFaAPYWnrOSoqKrB+/XqcOXMGlZWVmDBhAhYvXoxZs2bB1tZW58/JMnAx7G+UAfPxxx8jMjISn3zyCRobGxEZGYnIyEimJsPj8XDq1CmYmppi9OjRWLBgAeLi4rB58+Y+PvInDw6HA4FAgCVLluDEiROorKzEhx9+iPv372PChAmIiIjARx99hLS0NJAk2deH2wp1YYmOjtZbJgyHw4GLiws8PDwgk8lw+PBhPPPMM9iyZQucnJxw4cIFvTxvZ6xbtw6jRo2Cubl5uwJXVFSE2bNnw8LCAg4ODli5ciXkcnnvHiiLBuzKheWJprGxEadPn0Z8fDzOnDkDgUCAOXPmIC4uDsOHD+/zTBqKopCfn4+KigoMGzZMp3MrbT3Xt99+i82bN+PChQuIjo5mfvb48WM4ODj0iX8YO7DcP2HFhYXlfzQ1NeHcuXNISEjAyZMnYWFhwWTSjBw5stczaXpbWLZv347169fj3LlzGDFihN6eq7uwA8v9C3ZbjIXlf5ibm2Pu3Ln49ddfUV5ejp07d0IqlWLhwoXw9/fHypUrkZSUBIVCofdj6W1h2bNnD7744gucPHnSIIWlIzobWGbpG1hxYWFpA1NTU8yaNQt79+5FRUUFfv31V/B4PLz66qvw8fHBm2++ifPnz+tlX5+iKDx48AAVFRWIjo7Wu7D88ssv+PDDD5GYmIjRo0fr7bn0BTuwbJiw4vKEsH37dnh7e8PU1BTR0dFMdxtL5xgZGWHy5MnYtWsXSktLceTIEVhaWuKtt96Cl5cXXnvtNZw8eRJSqbTHz0ULS3l5OaKjo/UavkVRFA4cOID33nsPR48exbhx4/T2XC1hB5YHPuwQ5RPAoUOHsGrVKmzfvh2jR4/Grl27MH36dOTm5sLT07OvD69fwefzMW7cOIwbNw7fffcd/vzzTxw5cgT/+te/UF1djWnTpiEuLg6TJ0/WWhhoYSkrK8OwYcP0nuoYHx+PVatW4fDhw5g4caJen6sl7MDywIct6D8BxMTEICoqCjt27GBuCwoKQlxcHJvCpyNIksStW7eYqIDy8nJMmTKFyaTprMuKoig8fPgQpaWlvSIsiYmJWLZsGQ4cOIA5c+bo9bl0BTuw3L9gt8UGOHK5HKmpqZgyZYrG7VOmTMH169f76KgGHlwuFzExMdi0aRPu37+Pq1evIjg4GBs2bICXlxeef/55/Oc//0FtbW0rL6/eFpZTp05h2bJl+OWXX/qFsBQVFSEjIwNFRUUgCAIZGRnIyMhAY2MjANVnOTg4GIsWLUJ6ejouXbqE1atX47XXXmOFpQ9hxWWAIxaLQRBEq+0BZ2dnttipJ7hcLqKiorBu3Trk5ubi1q1biI6OxrZt2+Dt7Y1nn30W+/fvR1VVFQiCwNq1a3Ht2rVeEZYLFy7glVdewZ49ezBv3jy9PpeuYAeW+yfsttgAp6ysDG5ubrh+/TpGjhzJ3L5u3Tr8+uuvyMvL68Oje7KgJ+3j4+ORkJCAjIwMhIWF4fHjx/j1118xfvx4vRagk5KS8Pzzz2P79u1YtGgRW+xm0SvsymWA4+DgAB6P12qVIhQK2WJnL8PhcBAQEIC1a9fi1q1bWL58OfLz8xEcHIy4uDhMnz4dO3bsQGlpqc6jAq5evYoXXngB3377LSssLL0CKy4DHGNjY0RHR7fyhbpw4QJGjRrVR0fF8vnnn+PgwYO4efMmrl27hkePHmHu3LlITExEUFAQJk2ahO+++w6FhYU9Fpo///wT8+fPx4YNG/Dqq6+ywsLSK7DbYk8Ahw4dwqJFi7Bz506MHDkSP/74I3bv3o2cnBwMHjy4rw/vieTgwYMYOnQoQkJCNG6nKAplZWVMVMDVq1cRHh7OZNL4+PhoJQ63b9/GnDlz8Nlnn2HlypWssLD0Gqy4PCFs374dGzduRHl5OUJDQ7F161aMHTu2rw+LpQMoioJIJMKxY8cQHx+PpKQkBAUFMZk0AQEBHYpFRkYGZs6cibVr12L16tWssLD0Kqy4sLD0A+hMmsTERMTHx+PixYsYMmQIk0kTHByskUmTnZ2NGTNm4B//+AfWrl3LCgtLr8OKCwtLP6Surg4nTpxAQkICzp49Czc3N8TFxSE2NhZmZmaYPn063njjDXz22WessLD0Cay4sLD0cxoaGnD69GkkJCTg1KlTkEqlWL58Ob755huDT9hkGbiw4sLCMoBoamrCN998g/fff7/Pg85YnmxYcWFhYWFh0Tnsmpmlz7ly5Qpmz54NV1dXcDgcHDt2TOPnFEXh008/haurK8zMzDBu3Djk5OT0zcGydImCggIsXboU3t7eMDMzg4+PDz755JNW+TdFRUWYPXs2LCws4ODggJUrV+olI4el92HFhaXPkUgkCA8Px/fff9/mzzdu3IgtW7bg+++/x61bt+Di4oLJkyejoaGhl4+Upavk5eWBJEns2rULOTk52Lp1K3bu3Im1a9cy9yEIAjNnzoREIsG1a9dw8OBBxMfH45///GcfHjmLzqBYWAwIANTRo0eZf5MkSbm4uFBfffUVc5tUKqVsbGyonTt39sERsnSXjRs3Ut7e3sy/T58+TXG5XKq0tJS57cCBA5SJiQlVV1fXF4fIokPYlQuLQfP48WNUVFRoRAaYmJjgmWeeYSMD+hl1dXUQCATMv//880+EhobC1dWVuW3q1KmQyWRITU3ti0Nk0SGsuLAYNLThJhsZ0L95+PAhtm3bhjfeeIO5raKiotXf1c7ODsbGxuzfdgDAigtLv6DlICDF5qP3CZ9++mmHufccDofJWaEpKyvDtGnTMH/+fCxbtkzjZ239Ddm/7cCA39cHwMLSES4uLgBUV7l0hC3ARgb0FStWrMALL7zQ4X28vLyY/y8rK8P48eMZw1R1XFxccPPmTY3bampqoFAo2L/tAIAVFxaDxtvbGy4uLrhw4QIiIyMBqKKbU1JSsGHDhj4+uicPBwcHODg4dOm+paWlGD9+PKKjo7Fv375WbgEjR47EunXrUF5ezlw4nD9/HiYmJoiOjtb5sbP0Lqy4sPQ5jY2NePDgAfPvx48fIyMjAwKBAJ6enli1ahXWr18PPz8/+Pn5Yf369TA3N8fChQv78KhZOqKsrAzjxo2Dp6cnNm/eDJFIxPyMXo1OmTIFwcHBWLRoETZt2oTq6mqsXr0ar732Gqytrfvq0Fl0RV+3q7GwJCUlUQBa/bd48WKKolTtyJ988gnl4uJCmZiYUGPHjqWysrL69qBZOmTfvn1t/k1bnnIKCwupmTNnUmZmZpRAIKBWrFhBSaXSPjpqFl3C2r+wsLCwsOgctluMhYWFhUXnsOLCwsLCwqJzWHFhYWFhYdE5rLiwsLCwsOgcVlxYWFhYWHQOKy4sLN3kyy+/xPDhw2FlZQUnJyfExcXh3r17Gveh2CwalicUVlxYWLpJSkoK3nrrLdy4cQMXLlyAUqnElClTIJFImPuwWTQsTyr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}, "metadata": {} } diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index bacc80e3..c643474b 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -96,7 +96,7 @@ def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} - def fit(self, x, max_epochs=10, batch_size=128): + def fit(self, x, optim, optim_params=None, max_epochs=10, batch_size=128): """Fits model to the given data. Args: @@ -107,14 +107,19 @@ def fit(self, x, max_epochs=10, batch_size=128): dataset = TensorDataset(x, x) loader = DataLoader(dataset, batch_size=batch_size, shuffle=True) + if optim_params is not None: + optimizer = optim(self.parameters(), **optim_params) + else: + optimizer = optim(self.parameters()) + for epoch in range(max_epochs): for i, data in enumerate(loader, 0): self.zero_grad() loss = self._step(data, i, batch_size) loss.backward(retain_graph=True) - self.optimizer.step() + optimizer.step() - print("Loss: ", loss) + print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) def _step(self, batch, batch_idx, num_batches): From 0bbd5d0ab59c4cf9675802209e5f30025d2a9a7a Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 00:32:06 -0400 Subject: [PATCH 13/73] Modified TensorDataset --- examples/ode/lorenz63/Lorenz63Train.ipynb | 54 +++++++++++------------ torchts/nn/models/ode.py | 6 +-- 2 files changed, 30 insertions(+), 30 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63Train.ipynb b/examples/ode/lorenz63/Lorenz63Train.ipynb index d9484e46..167eba02 100644 --- a/examples/ode/lorenz63/Lorenz63Train.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train.ipynb @@ -116,7 +116,7 @@ "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -172,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 13, "metadata": { "tags": [] }, @@ -181,21 +181,21 @@ "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(244.7654, grad_fn=)\n", - "Epoch: 1\t Loss: tensor(235.4375, grad_fn=)\n", - "Epoch: 2\t Loss: tensor(229.1028, grad_fn=)\n", - "Epoch: 3\t Loss: tensor(226.1190, grad_fn=)\n", - "Epoch: 4\t Loss: tensor(232.3596, grad_fn=)\n", - "Epoch: 5\t Loss: tensor(244.8889, grad_fn=)\n", - "Epoch: 6\t Loss: tensor(246.5087, grad_fn=)\n", - "Epoch: 7\t Loss: tensor(248.6016, grad_fn=)\n", - "Epoch: 8\t Loss: tensor(244.2324, grad_fn=)\n", - "Epoch: 9\t Loss: tensor(227.9050, grad_fn=)\n" + "Epoch: 0\t Loss: tensor(226.2282, grad_fn=)\n", + "Epoch: 1\t Loss: tensor(251.8655, grad_fn=)\n", + "Epoch: 2\t Loss: tensor(226.3150, grad_fn=)\n", + "Epoch: 3\t Loss: tensor(228.0103, grad_fn=)\n", + "Epoch: 4\t Loss: tensor(249.7751, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(238.6514, grad_fn=)\n", + "Epoch: 6\t Loss: tensor(226.3311, grad_fn=)\n", + "Epoch: 7\t Loss: tensor(250.5593, grad_fn=)\n", + "Epoch: 8\t Loss: tensor(247.9563, grad_fn=)\n", + "Epoch: 9\t Loss: tensor(232.6432, grad_fn=)\n" ] } ], "source": [ - "ode_solver.fit(result,torch.optim.Adam)" + "ode_solver.fit(result,torch.optim.Adam, {\"lr\": 0.001})" ] }, { @@ -208,11 +208,11 @@ "data": { "text/plain": [ "{'sigma': Parameter containing:\n", - " tensor(9.9751, requires_grad=True),\n", + " tensor(9.9730, requires_grad=True),\n", " 'rho': Parameter containing:\n", - " tensor(27.9216, requires_grad=True),\n", + " tensor(27.9205, requires_grad=True),\n", " 'beta': Parameter containing:\n", - " tensor(2.7751, requires_grad=True)}" + " tensor(2.7759, requires_grad=True)}" ] }, "metadata": {}, @@ -250,13 +250,13 @@ "output_type": "execute_result", "data": { "text/plain": [ - "tensor([[1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [9.0025e-01, 2.7922e-01, 0.0000e+00],\n", - " [8.3830e-01, 5.2779e-01, 2.5136e-03],\n", + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.0027e-01, 2.7921e-01, 0.0000e+00],\n", + " [ 8.3833e-01, 5.2777e-01, 2.5136e-03],\n", " ...,\n", - " [1.1217e+01, 1.0209e+01, 3.1372e+01],\n", - " [1.1116e+01, 9.7200e+00, 3.1647e+01],\n", - " [1.0977e+01, 9.2087e+00, 3.1849e+01]], grad_fn=)" + " [ 7.9433e-01, -1.1557e+01, 3.3041e+01],\n", + " [-4.3750e-01, -1.1482e+01, 3.2032e+01],\n", + " [-1.5390e+00, -1.1350e+01, 3.1193e+01]], grad_fn=)" ] }, "metadata": {}, @@ -283,8 +283,8 @@ "output_type": "display_data", "data": { "text/plain": "
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U17UCMG+AP89fEo+n45n5Pm1KKef27w5ZbV8w0J9XF/bDXtH1mlur03OyuJ7t6ZVsz6jgWGGdVfdLgKsd/QJcUGt1VDSqqGxso6Kxzco1dEiIG6p2LcV1rdS1tCOVwL0TI3lwSlSfFp2hT60Rvs57fU6vX9cTmeWNTHt3B272Nhx9fvqpX9AHRMHpafD+5kwhyjTx3a3DGRvp2aOBTbtWR351C9mVTWRVNFHbrCbOz5kBQa48PzeeJfMSAIOI6p2NGaw4Wmzx+m/25AnCpzcv789lgwPPWnpNRERE5EKjuqmNF1ensOp4CWC4oS+9NJFJMd5ntN+sikamvrPDavsLl8Rz46jQLq+rlY1t7MysZFt6JTszK6ltae/xZxTXtQrBUk/Ut7Zz78QIJsZ48/JfKaw4WsxHW7PYllHBu1cO7PVic94Af+Hv1KbRnhXr+Asl2yBmPoDlR4p49LeO9Nyrl/bj2hHBFs9pUWvIqWwmq6Kp46OyifzqZtq1Xf8JnW3lDAhyZWCQKwMCXRkY7Iqno5LmNg3vb87k8x05Xb5uSqw371098Ky1lImIiIicb0ytrUtWJVNrzAbcNjaMR6ZFd5uN6A31Le1MfGurVeDw3lUDWTDI2qyrqU3DLwcKWHmsmKTi3mv6bG2kOCptcLKV46CU4aiUd3zYynFQylFrdCw7XESDSgNAoJsdd0+IwEEp48XVKdS1tKOQS3lyZiy3jA49pTPrvpxqrv58HwDL7hnFkBD3Xh9vd2SUNzL93R24Oyg48ty0M96fOX25f1/UwYder+e/O3N5ZW2HOLRzb7WqXcuTy07w57GSbvdjZyMjwtuBSC9HXO0VJBXXc7K4njaNzuq5gW52DAhyZZAxKPF0VPLDvnz+uyu3y31/f9twxkV5ncFvKSIiInJ+Kalr5dmVSWwxTp+N9XXizcv70z/Q9bT3qdHquOv7w8JEWxMPTI7k0WnRVpqRikYV3+7J4/u9+UJw0B2u9jZMj/dhVj8/BgW54qiUW1mnd0ejqp0f9hXw5a4cqpoMOkBvJyXzB/pzvLCeA3k1gEE7+H9XDCCgh65ItUZH9LPrALhscCBvXzmgV8fQE+lljcx4bwceDgoOi8FHB+cy+FhzolRoaQJY//A4Yn07fmajqp07vzvM3pxqwGA8E+HtSKS3IxFehs+R3o74OdtaRbDtWh3pZY0cK6zjWGEdxwvryKpssqoNyqUSYv2cmD8ggFBPB+7+4TDaLmz2LpRWMBEREZHeotPp+flgAa+tTaOpTYNCJuXBKZHcNSHitNtn9Xo9H2/N4q0NGRbbx0Z68vUtw6z2m1PZxBc7c1l2pAh1FwtCE272NsxI8GV2Pz9GRXiccXtvq1rLrwcL+HxHDiX1hsFyLnY2ONvJqWxsQ9Wuw8lWzre3Du/Rw+Rs6z7SyhqY+d5OPB0VHHr2/AUfF7Xm41WzjMfL8xMsAo/qpjZu/trQE+6olPP5jUO6tLvV6/UkFTewPrmUbemVyKQSAlztDB9uhs+3jgkjwM0OicTQUmYKSI4V1lHZ2EZScQNJxQ3Y2ki5bHAAVw0L5sf9+Sw/0qEPeXVtGq+uTeO+SRE8Pj1GDEJEREQuaHKrmnlq2Qn25xpW+oODXXnz8v5Eep++uH5zajm3fWspJrW1kbLnqSm4Oygsth8pqOWz7dn8nVze7f7cHRTMSPBlTj8/RoS7nxU/ERN2Chk3jwnj2hEhrDxazH+2Z5Nb1Ux9azv3TYpgV1Y1xwvreOvvdH66Y2S3+5ka58OmVMPvoNfrz/jar79AXMYu2uCjsKZFEA6FeNhz3YgQ4bHiulZu+HI/OZXNuDso+PaW4fQLdBEe1+r0HMqrYX1yGRuSy60ESCeKuh67bK+QEexuLwQmw0LDCPVwoLKpje/35pNW1shvh4r47VARg4NdefeqAcikUh78+aiwj4+3ZvPx1myuGxHMS/MTRXGqiIjIBYXJLOztDRm0aXTY2chYNDOmW9Fnb+hOTLr2wXHE+3csGnU6PVvTK/hse45Q3uiMp6OCmYm+zE70Y3iYe6/LKaeLQi7lymFBXDYkkHc3ZvDR1ix+O1TET7ePYMZ7O9iTXU1WRWO3Qdk9E8OF4CO3qplwL8ezclzne/160QYf8z/eLXz9w20jhLJJVkUTN3y5n9J6Ff4utnx/+wgivBxp02jZk13NBmPA0Z2nR0+0qLWklTWSVtZosT3K25EFgwK4Z6Idm1IrWJ9UypGCOo4U1OHhoODeiRFE+zjx8K/HhNf8uL+AH/cXMLufL29dMeCMBFsiIiIiZ4PU0gaeXHZCWICNi/Lk1Uv7nfaMlPqWdqa8s03QTpj46NpBzO3vL3yv1uj481gxn+/IIbOiyWo/Hg4K5vT3Y5Yx4OhLEFTV1IaNTHrGLqMyqYQHp0Sx5mQpuVXNLD9azJQ4HzamlPP93nxenJ/Y5esGBXWUZL7encfLC7p+Xm+pbTH8LR0U59fw8qK8Y+VUNlFjDB6GhrgJb4wTRXXc/PVBaprVRHg58P1tI/B3tSO7solrv9hHeUPvTWakEnB3UOLpqMDJVs7Rgjo0XY1MBDIrmvi/v9MBGBHmzoOTo6hvbeevE6WUNaj4ZFs2Uolh7sCwUHcLgezak2WsPVnGmEgP/nP9EJzFDhkREZFzTJtGy8dbsvhkWzYanR5nWznPzY3n8tM0C2vX6rjvxyNsSLEsmdw9IYInZ3aUnRtU7fy8v4Cvdud2eX32c7Hl7gkRXDUs6JQuo6ZxGkkl9SSX1JNcYiiHVzW1CfuK9nEixteJGOPnSG/HPrmXKuRSFs+O4/bvDvHlzlxemBfPxpRylh0pZtHMWByU1rdkcz3h9/vyzzj4yDAufs+3t9RFGXzM+WCX8PW3tw4HDPXBG/67n2a1lv6BLnx98zA8jG2xd39/mPKGNlztbagza+eK9XViYow3no4KvJyUeDqaPhS42issomutTk9qaQMHcms4mFfDgdyaLrMn+3NrhBrphGgvRkd4UFDTwqH8WjaklLMhpZxwLwfGRXry7d584XW7s6rpv2QDCwcF8Mbl/c9q7VJERESkO44U1PLkHyeEjMOMBB9enp+It7Ntn/el1+v5ZFu2sBgzMTLcnW9vHS74XJQ3qPhqdy4/7Sugsc26cyXY3Z57J0awcHBgl6ZeGq2OnKpmkooNQYYp2GjsogtGIjHoJErrVZTWq9huHHgHhkVmqIcD0T5O9At04foRIbjY97wAnBLnzbgoT3ZmVrEtvZJwTwdyqppZcbSY60eGdPmasZGe7Mqq6nG/vSXD+H+K9jk75ZvT5aILPjRaHa3tBsfRQcGuQqT5f+vTaVZrGRXuwRc3DcVRKUev17PI7E3loJALwcfNo0N5enZst6YvrWot+3OrSS5pwMtJSYi7PcEe9tw8OpRbx4ah1+vJrmwWgpH9OdWCItqE+Uk+Mtyd5jYtOZVN5FQ2k1PZjJ2NjKGhbuzM7Dgplx8tZvnRYh6cEsUjU6NEYaqIiMg/Qotaw1t/Z/D1nlz0evB0VPLy/ARm9fM7rf3tyqzi+i/3W2yzkUnY89QUvJwMrqd1LWo+2JzF9/vyuvRXivBy4L5Jkcwb4G+l5ahvaWf50SJWHy8huaShSysEhUxKjK8TCf7Oho8AF+J8nWnX6cgsbyS9rIn0sgbSyxtJL2uktqWdnKpmcqqaWZ9cxsqjxXx32/AeJ9FKJBKenxvPzPd3sjGlnKlx3uRUNfP93nyuGxHc5TX7/smRQvBR0ajC26nvgZ0JU+YjWsx8nFvM9RZPzowFoLZZLYiT3ry8P47GgOSLnTmsOVkqPL+4rhVnWzlvXj6AmYm+FvvV6vQkl9SzM7OKXZlVHM6vRa21PrmVcilB7vaEuNsbPnvYc8kAP+6bFIFEIuF4YR0Hcmv45WChxev25RiOz9NRga2NjMY2Da3tWiHwSPB3FoYyAXywOZMPNmfy5mX9uXJY0Gn/vUREREQ6szuriqeWn6CwxiC2v2xwIM/NjcPVXnGKV1pT06xm8Msbrbavvn+sIPRv02j5fm8+H2zO7NKjI9bXiQcmRzEz0dci46zX6zmYV8svBwpYc7LUIuBwUMiI93cmwd/FGGy4EOnt2GWmxA4ZQ0LcLUy+9Ho9lU1tZJQ1kVbWwH935pJZ0cRln+zhu9tGEOndfWYhyseJG0aG8M2ePFJKGlDIpaSXN3Iwr5bhYdZGYiPMtn25K5enZ8V1u++e0Ov1ZJQb7oHmflbng4su+PjIbGCc6R+6KbUcrU5PnJ+zoP/Yk1XFq2vTLF47JMSN968eKAwkKqlrZXtGJbsyq9idXWVRkgGDbfDgEDfqWtTkVxu6a9o0OsEhtTMSiUF8On9gANufmEhqaQNf7cqzUG2bC6+8nJS42NmQXdlEckkDMqmEBH9ni26bRctOsGjZCb6+eRiTYs/MvlhEROTipr61nVfXpPLrIcPiKMDVjlcX9mNCdN+NEPV6Pc+sSOLnAwUW282dSfV6PeuSynh9XRoFNS1W+xgQ6MIDk6OYEudtkTGobVaz7EgRPx8oILuyWdge6+vENcODGRflSaiHwykdRntCIpHg7WSLt5MtY6M8mZnoy41fHiCnqpkrPt3D17cMZ2CQa7evf3hqFCuPFVtkvL/bm9dl8GH+u21JrTjt4KO8oY0GlQaZVHJWJgafCRdd8LE+uUz42vQP/du4bWaCIZtRUtfK/WbtrQD3TozgkWnRgpZi2eEiFi07YWEI5qiUY2sjEwRK7Vod+3Kq0ev16PRgb8xYdIdeDxnlBvHp//2dzvAwdy4dHMDjM2JYcbSInw9YZkMqG9uobGwj3MuBtnYdxXWtnCiqx9ZGSqS3o4V18C3fHARg06MTeozIRURERLpiQ3IZz65MosI43fWmUSE8MTNWyBT3hf051VxltA03sWCgP+9cOVAICI4U1PLKmlQO59davX5YqBsPTI5iXJSncB3X6/Xsy6nh5wMFrE8qEzLPdjYy5g3w55oRwQwIdPnHStGBbvb8fvcobv3mIMeL6rn2i318ev0QxncTmLnaK3hsWjTP/ZksbFufVEZFg6pHvUyDquf5Mz2Rbsx6hHk6nJU5MWfCRRV8FNV2RM7XGWe3NLdp2GEsXcxI9EHVruWeHw4L3TAA/71xKFPjfYTvt6ZXCIHHgEAXJsZ4E+Bqx4aUMjaldlj9VpzmCGYTB3INwlSFTMqUOG/evKw/FY0qfj5QaOEtkmOM7D0dFajadTS1aUgqbsDZVo6Ps61F69nUd7bj52LLpkcndKmsFhERETGnsrGNJauTWXPCUIIO93Lgjcv6Myy073NGmts0jHpts1Xp5MDiKYKOobCmhTfWp/HXiVKr14+L8uT+SZGMCPcQtlU3tbHsSBG/HCgkp6ojy5Hg78y1I4KZN8D/lHOy9Ho9JfUq0ssaqGluJ9LbkRgfJ+z62I7q4ajkpztGcvcPh9mZWcVt3x7krSsGMH+g9YwZgGuGB/P17jzhuDU6Pb8cLOTBKVHd/owz6WjMLDfpPc7/AvSiuvvsyaoWvjalCbdnVKLW6AjxsCfGx4nn/kziuFnZYmiIm0XgcbSglnt/OIJWp2fhoACemBnDB5sz+WhrFlqdHqnEUP+8engwSrkUqUSCVIrhs0SCVNLxtUQCZQ0qdmZWsSOjkhNF1iOcAdRaHeuSyliXVIarvQ2zEn1xtrXhRFG9YP0OWPXCN6g0NKia8HZSotPrhcdL61UkvPA3Vw0N4vXL+omiVBERESv0ej0rjhbz0l+GgWgyqYS7xofz4JSoPrWXmnhnQzofmJW9wdKvo761nY+3ZnU5cHNKrDf3TY4UbMh1Oj17c6r56UABG5LLBPGpg0LGvIEBXDs82MIY0pz6lnbSjKLRtDKDcDSjrNEqKy2RQJiHA7F+TsT5OhPr50ysrxOBbnY9XjMdlHL+e9NQHvvtOH+dKOWhX47RoNJwQxedLHKZlIHBruRUNQtdL5tTy3sMPpxsT/+2nX6BiE3hIgs+zNNVph5nU8llRoIvLWqtVWnjhlEdJ0x2ZRO3fnOQ1nYtA4Nc8XBUMOmtbajaDem9qXE+LJoZ06d/bJC7PcNC3Xl0WjR1LWp2Z1WzM7OSHRmVVt0vAHUt7cIxBrvbMzPBlwZVO3uyq62ea8KUgQlwtbPImPx6qJBfDxXy7lUDuHRQYK+PWURE5H+b4rpWFq84ybZ0Q8ddvJ8zb17en8SArm/oPZFcUm9hbwCGDMY3twxHJpXQrtXx47583tucaaWbGxjkynNz4xkSYgg6tDo9f50o4f1NmRZZjgGBLlwzPJhLBvhbZHRb1Bo2p1ZwsriedGOgUdZgfV0Fw5ytCC9H3BxsyCxvorpZLXSyrD3ZUa53UsoZHOLGy/MTCfbo2jxNKZfxwdWD8HBQ8O3efF5anczcfn64OVgLcoOMGkJTuam+teeyivMZmJ11tNmKwcc5xVzkGeRmh1qjE6Yszkjw4URRvYWGw8NBIXS1lDeouPHLA8LY5pSSBo4V1gGG7MhTs2IZehppSHNc7Q0ufHP6+wmtuDsyKtmZWcm+nBqhRdhEQU2LIMKK9XXCx9nWoj23M6bAw9NRKehSAB759TiP/HqcdQ+NI87vnx3mJyIicuGi0+n5cX8+r69Lo1mtRSGX8tCUKO4cH95n76A2jZbZ7++0EHwC7HhiEsEe9uj1ev5ONohJc6ssn+PnYsuTM2OZN8AfqVSCTmd47jsbM4QyspNSzoJBAVw9PIgE/46gSK/Xcyi/lj8OFbHmZClNXejsAlztDGZhvk7EGj+He1p2ulQ0qkgrbSStrIG00kZSShvIrmyisU3D9oxKFv5nN1/eNIwB3YhKpVIJS+YlsD+3hrSyRjaklHHVsGCr55maHOqMzqNdeY2Yc7plF51Ob1Z2EYOPc8rJ4o5yilwmZXtGJY0qDV5OSgYFufGf7dkWz79qWBBKuYwGVTs3fXWA4rpWAt3saFFrqWlWE+XtyKKZsUztpLQ+G0gkEmFq7q1jw2jTaDmcV8uWtAr+OFJktUIw2bYPCHQhxteJ3w4Vdbtv88DDnFnv78TN3oatj088rZY5ERGRfy9ZFU08s/yk0F03NMSN1y/rf1oC9W9257JkdYrFtpfnJ3DDqFDA4Ca9dE0qB3It568oZFLunxzJHePCsVPI0Ov1bE4t552NGYKVgLOtnDvHh3PzmDALsWtpfSvLjxTzx+Eii2AmxMOeCdFeQqAR5ePUqxu4qZPFXDCq1ujIKG/kyWUnSC5p4OrP9/HxdYOYHOvT5T4kEglz+/uRVtbIXydKuw4+3AyeIKZrek9NCXD6ZZfiulZa1FoUMimh3WRsziUXVfBh7oMBHSWX6fE+SKUSjhbUCY9JJHDtiGA0Wh13fneItLJGPB2VzEzw5b+7cnGzt+GPu0ef0s3ubKGUyxgd6cnoSE8emx7DiqPFfLU716pl93hRPceL6onzcybA1U4YSNRbalvaGfjSRq4dEcwrCxJFPYiIyP84qnYtn2zL5j/bsmjX6rFXyHhyZiw3jAzpcytqXlUzE9/aZrEtxseJ1Q+MRSGXUlzXyv+tT2PlsRKr1142OJAnZsTg62KLXq9nZ2Ylb2/IEDLMDgoZt40N47Zx4cKcFVW7lg0p5fx+qJBdWVXCxFZ7hYw5/fy4YmgQw0LduryOtWt11LaoqW1up6ZZTW2LmvrWdmJ8nRgU5NrlaxRyKYkBLvx61yju/fEIOzIquf3bQyxd0I9rR1gHFgCz+/nx1oYM9mRXU9Ostpq+a8p8mMZvqDU62jTabrtRTrfsYvL3CPdy+MeH6fWGiyr4MCGRGFJQG4yjlmck+KLX6zla0NHSNSXWm0A3e7amV7AvpwYHhYwPrh7IvT8dAeDRadHnLPDojJ1CxrUjgrlmeBA7Mqv4aleuVbkltbSB1NIGwr0ccLWz4YhZYNUbftpfwE/7C/jmlmFMjBH9QURE/hfZm13N4hUnBf3E5FhvXpqfIHgZ9RaNVscNXx6wEMADQim3Ra3h/b8z+GJHrpX54rBQN56bG0//QFfA0OX31oZ0IStiayPlptGh3DU+AncHBXq9nmOFdfxxuJBVx0osOmdGhLlzxdAgZiX64qCUU9/SzoqjxezLqaa6SU1Ni5raZjXVzeoeyxsBrnbM6e/H3P5+9Auwbs91VMr58qahPLP8JL8fLuKZFScpqWvlsenRVs8N93Ik3s+ZlNIG/k4u45rhlkGKj7MtCpnU4u/SqNKgdOwm+DjNsktG+YWj94CLNPjoF+BCdbNaKD+MDPegsKbVYtaKyWN/Z4ahDXfeQH82pVZQ19JOlLej1Ql0PpBIJEyI9mJCtBeZ5Y18vSeP5UeKBAEsdLTh+rnYYmsjs6qtnoqbvzb4gxx+dioejsqzd/AiIiLnjdpmNa+uTeX3w4byrJeTkiWXJDC7n2+fs51/HivmoV+OWWx7ZGo0D02NQq/Xsz6pjJf/SrEQuwMEutnxzOw4ZiUafuaxwjre3pAuuDYrZFKuGxnMPRMj8Haypaqpjc93ZPP7oSIL+4AAVzsuGxzAZUMCCfFwoLS+lWVHivg7uYx9OTUWOr7OSCTgZq/Azd4GdwcFdgo5h/NqKK5r5fMdOXy+I4dgd3vmGrV48X7Owt/HRiblzcv74+9qx/vGjseSulZev6y/lUvqnP5+pJQ2sOZEqdW9QyaVEOBmZ3FtblJp8Ozmenu6ZZcLxdnUxEUTfOj1HSdgYoCLcELKpRIUcilHCzuyHsHu9oyPMtT5dmYaMgoBrna8tykTgOfmxp9x2qpR1c6OjCpSSxtwsbPB00lhNphOibuDok9jn6N8nHj10n48MT2Gnw4U8N3ePIspj6XGzhkXOxv0en2XFsU9MWTpJub09+OjawaJpRgRkX8per2elceKWfpXqrDYum5EMItmxvZ5ZHxFg4rhr2622ObuoGDnokk4KOXkVzfzwqpkoWPGhKNSzn2TIrllTCi2NjKSS+p5d2OG4JEkl0q4clgQ90+KxN/VjopGFS//lcIP+/IFe3SlXMqsRF+uGBrEqHAPsiub+OtEKRuSyyysEsBQ9pkc502wuz3uDgrcHRS42Rs+u9jZWF1nVe1atqVXsPpEKVtSKyioaeGTbdl8si2bcC8Hli5IZHSEJ2BYAD4yLRp/V1ueWZHE8qPFRHg7ct+kSIt9zunnx//9nc6e7Cqqm9qsFnKBnYKPnrIyZ1p2ibpATCYvouCj42s/Z1u0xg2Cm56Zi97lQwKRSiWU1reSWdGEVAJb0yvR6PRMjvXu1rHuVJTWt7IptYKNKeXsza7qcjCSCanE8Eb2dFTi4ajA19mOcVGeTIr17vEi4eag4L5JBsHWuqRSvtyVa2G3bmrjkkro0lOkJ9acKGXNiVL+c93g0x4eJSIicn7Ir27m2ZVJQmYh2seR1xb2s5hX0hv0ej2P/nacFUeLLbb/fvcohoW6o2rX8s7GDD7YnGn12muGB/HotBi8nJRkljfy7qYMoY1VKoGFgwN5cHIUwR72VDSoeHF1Mj/tLxCCjv6BLlw9LJg5/fzIrmri7+QynluZZNF2K5HAkGA3pif4MD3el9A+2ojb2siYmejHzEQ/WtQatqRV8NfxUramV5BT2cyd3x1m+b2jLcoXVw0LRqPTs3hFEr8dKuTeiREWi7RQTwcSA5xJKm5gfXIZ142w9Pww6T5MNHZyMTVfPDufRuZDq9ML+kAx83GOMRdOtWl06Ix3XpnxBDlqFDWBIQoFw5RFMNykD+fXIpdKWDynb5766WWN/J1cxsaUcotuG4BwTwdGGKfVVjW1GT8Mwied3mAaZm4ctuxIEXKphFERHsxI8GV6vE+3NrwKuZT5AwOYN8Cfw/m1fLU716JXva+Bhzn3/GjQvRx4Zsppjc0WERE5d7RrdXy+I4cPNmfSptEJ7bN3jAvvcohaT3Rli37DyBBemp+ARCJhS1o5z/+ZTFGtZYlldIQHz86JJ97fmcKaFh759RgrjxWj1xuChUv6+/PQ1CgivBwpb1CxZFUyPx/oCDoGB7vy8NRowjwd+GZPHtPe3W7hIK2QSRkdabguTonzPqOpr+bYK+TM7e/P3P7+NKraue3bQxzIreG2bw/y531jLcSjlw4K4JU1qeRXt3CkoE7wJjExp58/ScWG0otV8NFJY9O540VjdsE+lVtrVxTUtNCm0WFrI7X6WeeLiyb4MKdNoxX+mTKpBFW7lhSzThiToMd8VD3AjaNCifDqfcrqk21ZvLk+XfheIoHBwW5Mi/dhapyP0MKm1+sprVeRXNJARnkjDgoZLvY2OCltkMsk1DSryapoYmNKOZkVTezMrGJnZhXP/ZnEoCBXZiT4MiOh6whfIpEwNNSdoaHuZFU08n9/p/N3ct86YLpj+KubmdPPj4+uFUsxIiIXIofza3lm+UlhpseYSA9eWdCvz9kAVbuWcW9upbLTyIijz03DzUFBYU0LL/2VwsYUy2tLmKcDz8yOY2qcN63tWt7ekM5nO3JQG4OKmQm+PDItmhhfJ8rqDUHHTwcKhMeHhLjx8NQoXO0UfL4zh7UnS4WSuaNSzqRYb6bH+zAxxuu0bsp9wcnWhk+vH8KCj3dTUNPC3d8f5ofbRwgBnL1CzsxEX5YfKWbF0aIugg8/3lifxr6caiob2/By6ii9BLnbWTy3c9ml3UyM6mLX99u2ydk0ytvpjIbpnU0uyuBD1a4TTmCpxOD/YR5ZutjboNPp2ZXVEXxIJfDglEirfXXHLwcKhMBjcqw3MxN8mRTrjYeDgrzqZpJKGvj9cCEpJQ0kFdcL5mWdUcqlhHo4EObpwJQ4H6bE+ZBZ3kh6eSNFta0cKajjSEEdr61LI8bHiRkJPkxP8CXB39kqIIj0duKzG4ZytKDW+Cao6fJn9oU1J0tZ83SpODVXROQCokHVzpvr0/hxfwF6vaGE++ycOC4dFNDnhUJXnh2fXj+YmYl+tGm0fLQlk7c2ZFi9bvHsOG4aHYqNTMKfx0p4fV2a4C46KtyDZ2bH0S/QhdL6Vp7/M4lfDhYKQcewUDcenBKFRqvnk63ZFl0046I8uXl0KGOjPM/5cDR3BwVf3jSUhZ/s4UBeDYtXnOTNy/sLf9OFgwJZfqSYv06U8tzceIvjC/awJ8HfmeSSBvblVHPJAH/hsc7ZiKZOZZc2syaC0wmyMi4gczETF2Xw0abRotN3ZD6Om5VcwJD5SCltsBguF+Bm12vjrQ3JZTyz4iQA902K4IkZsQCsOl7C838mWRmEmY4jytuRWF8nmto05FQ1U2hMlaUbg43OyKUSlHIpShsZ9a3twvM+2JJFoJsd1wwP5voRIVYtwYOC3fj5jpFsz6jkzfXppJQ2WO27r5im5h57fppoUCYicp4wjaBfsipZKEtcMSSQZ2bHdWnt3RPFda2MeX2LxbZhoW78cucoZFIJOzIqeWFVslUH3dz+fjw7Jx5fF1uOF9bx4upkodU/yN2OxbPjmZHgQ2m9iudWJvHrwUKhzXR4qDv3TIqgsrGNl/9KEdpD5VIJlwzw5/ZxYRZupqeiTaMls7yJhtZ2vJ2VeDnZ4mwrP6NMbZSPEx9eO4hbvznI74eLiPZx4o7x4QCMivDAx1lJeUMbW9MqBYdsEz7OtiSXNNCitsxs+LpYlok6Zz7Mvz+dbpeMC2ignImLNPjoyHzIpFKhrmjC2U7OyqOWJjihHr1LUx7IreGBn4+i08NVQ4N4fHoMOp2e9zZnCgIspVxKnJ8zCf7OJPi7kBjgTLSPk9WwJo1WR3FdK7lVzVYfxXWtaHR6NGotzWotno4KHJRylHIpBTUtFNW28n9/p/Px1iyuHBrEbWPDLERNEomEiTHejI/yYvWJEt7ekCFYtZ8JA1/aaFEDFhEROTcU1bbw/J/JwsiIME8HXrm0ozOjt+j1eu7/+agwxdbEhkfGE+3jRGl9Ky//lWKhITP9vJfnJzI2ypOKBhWP/36cP4ytvPYKGfdNiuS2sWHUNKt57s8kfjtY1BF0hLlz65gwcqqaePKPE0Lg5KCQcc3wYG4dG4a/q2VpojOqdi1pZY2cLK4nubiepBLDPJfOwn5bGyneTrb4OCsNLqbOSvxd7Jg/yL/XWpGJMd48NzeeF1en8Oq6VCK8HZgc64NMKmHBwAA+25HDiqNFVsGHwtglqe50TFbBRifNh/lcMtvTyPYIwccFIjaFizX4aDcPPrC66Tvb2ggttk5KOY1tml4FH2llDdz+7UHaNDqmxvnwyqWJqNp1PP77cdacNLyR7xofzuMzYno1J0EikeBqryDSW4Kviy2XDPAXer9b1YZ2sFXHS9icVmEhTg33ckAhk1LWoKKupZ1v9uTx3d48ZvXz485x4RazCKRSCfMHBjAr0Y9fDhbwweZMq+m4feX7ffl8vy9fUL+LiIj8c2i0Or7Zk8c7GzNoUWuxkUm4Z0IE906K7PP02b3Z1VzzhaWg1JS9VWt0fLo9m9fXpVm97okZMdw+LgyA/2zL5qMtmTSrDbOoFg4O4MmZsUgksHRNCr8eLBQCghFh7lw5NIiU0gYe++2Y8BofZyW3jgnj6uHBXXb36XR6jhfVcbywjiRj6TqzoqlHTw8TqnadxVwsEx9syeSZ2XFcNTSoV7qIm0eHklnRxE/7C3h9XZpgsX7pYEPwsSWtgroWtUUm2KQPUXda8FZ3GnnRudslv7rjWPuq2VBrdILfk1h2Oc/Ut7Z3BB8SCbY2HYGATCrBRiblUJ6h9TbAzY60skZCTuGFX1Tbwk1fHaBBpWFYqBsfXTuI6mY1d3x3iBNF9djIJLyyoB9XDguyeJ1Wp2fZkSLWnCilrrWdJlU7TW0aGlUaWtRaq58T5G7HoCA3BgW7MijYjfevHkSbRsvGlHJWHS9hZ2aVcKKZo9N3tMoOD3PnznHhTI71Fk5khVzKjaNCuWxwIF/tyuWzHTldDmTqC1d8uhdnWzl7n55iMWlSRETk7HCyqJ6nV5wgqdhQOh0W6sarl/YTpnb3lla1lrFvbLEwWgQ4/sJ0XOxs2JNdxfN/JluNc5ga580LlyQQ6GbHxpRyXlmbKtwoBwS5suSSeOL8nPlyVy6fbM0SgotR4R5MT/DhWGEdi5adEK7HMcYSxrwB/l124hRUt7DsSBHLjhRZddScDg4KGUND3alqaiO5pIGnl59kxdFiXlvY75TNBRKJhEUzYvj5QAEZ5U1UNKjwdrYl1teZOD9nUksb+OtEqWBYCd0HH50XfHY2ltfLg3mnr8/Lq25Go9PjqJTj73LhdCdelHeEpJJ6C58P8zSWs62cdq1OSAeaTpJTZT5eWp1CeUMbMT5O/PfGYWSWN3H7dwcpb2jDzd6gkh4R7iE8X6/Xsy29ktfXpXWp5zBHKZfioJRT26KmsKaVwppWVh03lIUUcimJ/s4MCnbj8iGBPD49hmOFdaw+XsKBvBoLfxMTB3JrOJBbQ7iXA3eMC+fSQQHCCslBKeeBKVFcNzKEj7dm8eWu3FP8NXumQaUh4YW/eXRaNA9OiTqjfYmIiBhobtPw9oYMvtmTi05vuG493YdVuzlf7crlpb86C0qHMDPRl4oGFQ+uTBKuNyYCXO1YMi+BafE+ZJQ3csOXBwSBvreTkqdmxbJgYABrTpZy/09HBXfT/oEuXD8yhN1ZVbxoJmIdE+nBHePCmRDtZVWubW7TsPZkKX8cLmJ/bu9vwrY2UpxsbXBSynG0leNkK8dRKUej1bM7uwpVu45mtZbtGZWEetjjoJDRrNZyILeGWe/v5MHJkdw5PqLHdmRXewWJ/i6cLK5nd3YVlw4KBGDhoABeKW1g1bESi+DDlPG2ynw0W2Y+One/dP779wXBXMzH8YIqhV+UwUejStPh8yGVWKQmne1sMP//5FYbsgihnt1nPlqNJzDAO1cNoE2r5Zov9tHUpiHK25EvbxpGsFnm5HhhHa+tSxW6TVzsbLhzfDjRPk7CG8TJVo6TrQ2OSrlw8jeo2jlRWM/RglqOFtZxtKCW2pZ2oePFhJ+LLfMHBvDQ1ChSShpYfbzEyvUPDNbrTy8/ydsb0rlxVCjXjwwR+tbdHRQ8NzeeW8aE8u7GTJYd6X5Kbm94Z2MG72zMEOrGIiIip8emlHKe/zOJEqNr8bwB/jw3N96idbM3FNW2MPaNrRbbRoS589MdI9Hr9Xy1K5fX1qVaaSbunxTJfZMiadNoeeHPJH7YX4BWp0chk3LH+DDunRhJRnkjl3+6R7gu+bnYctvYMAprWli84qSwz7n9/bh7QgSJAZYiUp1Oz77cav44XMS6k2W0tltngTtjI5MQ7+eMs52NcE3XaHUGbZxWj1qjo1bbzqQYb56/JJ7jRfWsOVHC1vRK8qotSzBqjY63NmSw+ngpH1wzqEdjrtGRHobgI6taCD5GhBvKzYW1lvtVGq/l7dqeMx+du19MzQ/2ir7rPUz+UjEX2HX3ogo+Ir0dhbSh1iL46IhsnW1tkNARfZhMcHoatLQ3p4o2jY4AVzvi/Zz5aEsWTW0aYn2d+O3uUYJvSGFNC2+sT+Mvo5BLIZdyy5hQ7p0Q2eWQOrVGJ7zpFHIpzrY2jI3yZGyUp/HY9ORXt3C0sJajBXUcLagjtbSB0noVn27P5tPt2QwPdef6kSG84ufMzwcK+P1wUZcpv3c2ZvDJNoM49b5JkfgYzcMC3ex5+8oB3Dk+nNfWpVpZJfeV6e/uoH+gC8vvGX1BTFYUEfm3YDLfWpdkEHoGudvx8vzEPg9+1Ov13PfTESvB6MZHxhPl48SxwjoWrzhpNQV8bKQnL85PIMTdnp8OFPDOxgyhc29mgi/PzI5DJpPwzIqT/GmcWmtnI+PGUSFIJBLe3ZghlF3GR3uxaEaMVdCRX93MsiPFLDtcZDUL5lS0a/VdLrI6cyC3hrc3pDMt3odrR4Twf1cMYEtqBX+dKGVLWjk6vWHERlObhvTyRu754TAbHhnf7fVqbKQnn23PYXdWFXq9HolEgr3CcGvtXDoXyi7anjUf5s0B5u6mlw4KOOXv1xnTfLKRZpn3C4GLKvgYEOjaEXzozTUfHdGkS6fMB4C/i12Pwq3NxpkEk2O90er0/HSgAIA7x4cLgUd1UxsLPt5NdbMaicRwEj02PYaATgputUbHzsxKVh0vYWNKuXDyyqUS7Gxk2CmMH8avHRRyEvydmRbvwzOz49DrYXtGBb8dKmJbegUH8mo4kFeDo1LOJQP8+PCaQRwtqOPHfflWimpVu47v9ubz26FCbh0Txl0TIgSxV4yvE9/cMpwtaeW8tDrFaqXQF04U1RO5eB1vXzGAy4YEnvZ+REQuBnQ6PT/uz+fN9ek0tmmQSSXcPi6Mh6dEY9fHlfCe7Cqu/WK/xbYHJkfy2PQY6lvbeXblSX7YV2DxuJeTkufnxjO3vx97squ554fDQgtsjI8TL1wSz4AgVz7dns3nO3Jo0+iQSGD+AH8C3Oz49WChsLLvF+DCU7NiGRPZ0YGj0+nZlFrOf3flCpNs/2k0OkNL8rqkMgJc7bh6WBCvXJrIljRvnl5+koKaFh6dFs03e/LIqWrm10OFVq6kJoaGuKOQSSmtV5Fb1Uy4lyMOSsP/pXNLrY3McHOxFpxaZj5MLtuAhZPrgj4GH5WNbYKVgmnReqFwUQUfA4NchPKBzvi/l3YSnDrbya2Cj55KLnq9XmhtmxznzZa0CkrrVbjZ2zDbbP7JK2sMg5wivBz48JrBxPs7C4/pdHr259aw6ngJ65JKu/QB0ej0NLZprAIGgF1ZVXy2IwelXMqwUHfGRXny2PRoXrk0keVHivntUCH51S38fKCQnw8UEuXtyC1jw2hVa1hxtESY7mtC1a7jk23Z/Li/gPsmRXDjqFAh+Joc68OYSE++2pXHu5syrN5EfeGx34/z2O/HRZt2EZFuOJxfw5JVKULqfECQK69d2s/i+tEbWtVaxryxxcK7CAyCUmdbOSuPFrNkdbLVtee2sWE8PDWKFrWWB34+KmRtXe1teGx6DFcNDWLl0WIe+vWY4H46PNSdwSFurE8qZaUxAxLiYc8TM2KYnegnaFK0Oj1rT5by8dYs0sp61r39kxTXtfL2xgw+3pbFt7cM56EpUby/OZP3NmUwMtyDPdnVvLcpk0sHBQgZDXPsFDIGh7iyL6eG3dnVhHs5Ym8UjLYbyz2mjIdCZriOdrZ3MNd8eDgoLAT629IrhK/7BfTe4wRgV5YhU50Y4NztlNzzxUUVfJi3mNopDCdDdXObhQudnY3couwCENKD2DTFWOaws5ExKtyDO78/DMCVQ4OEG/auzCqWHy1GIoG3rxxoceH4fl8+H23JtJhA6+WkZG5/P+YN8Cfe3xmV2lB+aVFraG3X0qrWGr/XUt/SzoG8GnZlVlHWoGJXVpVB+LXOcBKPjfLkvkmRKOVStqdXsjaplMyKJjI3ZyKXShgX5YlcJiWtrIHCGss0Z31rO6+uTeOb3Xk8PC2aywYHIpNKUMpl3DMxgoWDA3h9XZrVgKm+MvzVzcwb4M/7Vw+8oARRIiLni/IGFW+sS2O58b3lpJTz+IwYrh8Z0qdp1wD/3ZnD0jWpFts+v2EI0xN8ya5s4p4fDrMnu9ri8aEhbry8IJEob0e+2ZPHe5syaWrTIJUYZrk8Mi2a1NJGFny8W1hZB7vbMzHGi6MFdXy6PRsAT0cFD02J4urhwYLYsl2r489jJXyyNctiINz5xGSpcM+PR/jzvjFUNKr4+UAh+4zOqpWNbXy5M5cHuhHNj430NAQfmVXcMDLEIiPVqtZ2BB+90HwEdhoyt+xwx/W1r63TO4wlF9OU9guJiyr4MBc6miLPqia1RRRa3dxmlfkwT4F1Zoux5DIm0pOyehU7jMLTa0cEAwbjm8UrDW6nN44MYaBZAPTj/nyeW5kEGNTqsxL9mDfQn5HhHhYXGKVchgvdW+peOSwIvd4wtXBnpiH42JdTTXWzmj+PlQj11zg/Zx6cEoVcKmHNiVKOF9Wz1ajhiPJ2ZGaCL3nVzVarkJJ6FYv+OMEXO3J4YkYM0+J9kEgk+Djb8u5VA7luRDBLVicL7X6nw6rjJaw6XsIPt4244NKDIiLnijaNlq935/HhZoNPhkRicCh9YkZsnwWlBdUtjP8/S0HpyHB3frx9JO1aHe9sSOeDLVkWjzsp5Tx/STyXDQ7kSEEtcz/cJVwPBga5snRBIg5KOYv+OMEG4xwXJ1s5U+N8KK1v5bu9+YChhfXO8RHcPi5MWMW3abT8cbiIT7Zm91nP8U/TYtTW1TSrufP7w/x210gqG9vYlNqRdfhsRw7XjgjGo4sMwuhIT9iQwd6caoP4Vi7FRiahXaunWa0RNH3dt9p2LD6DOt1vDpxmm61Opxf8qk53Evs/yUUVfJhHjdkVTfg621LWoKLE7I1QVNtK53VFu6Z745rNxpLLlDhvQesxIdpLyJZ8uCWT/OoWfJyVPD4jRnidaRQ0wN0TInhkWtQZzSmQSCRE+TgR5ePErWPDUGt0HCmoZVdmFTuzqjhZZBCjppY24KCQsXBwILeNC+dYQR2/HSo0ZEMqmoj0dmThoAAKa1s4aPQ6MZFZ0cSd3x9mSIgbT82KFQzEhoa68+d9Y/ntUCFvrk/rdk5Nb7j+y/3Y2kg59Ow0HEVvEJGLiK1pFbz0V4pgVz4wyJUX5yVYZGx7g1an55ZvDgoLIRObHh1PpLcT2zMqeW5lkpXJ1jXDg3lyZgw6PTy1/AS/HTKUqF3tbXhyZiyzEn35cEsW3+3No12rR2bMnGp1eiH7aSOTcN2IEO6fHGlhiPjzgQI+2pplVfY5l/i72OLhqLSaLg5YmJOlljbw1LKTfHDNIK77736OGjt2mto0fLgliyXzEqxe3z/ABSelnPrWdpJL6ukf6Iq9wvC9uehU0YXmo02jtXA4DXLvusw/Iqxvho0ppQ1UNalxUMgYHOx26hecYy7aq/vRwjoivB0oa1BZROFFtS1Wqf/alq7fMJWNbRwvqgNgTIQnb643OP+Z+rozyhv5bHsOAC/OSxAGAplbsF89LIgnZ8ac9XKDQi5lZLgHI8M9eHxGDLXNav48Vsz3+/LJrmwWXEiHh7rz5KxYyupb+X5vPlkVTWRVNBHm6cC1I4LJq2q2Sskezq/lik/3MjXOmydmxBLj64RMKuGa4cHMTvTj3U0ZfLMn77SPXdWuI/GFv3lwciSPTo859QtERP7F5FQ28fJfKUIW0stJyVMzY7l0UECfPTvWJ5Vx9w+HLbY9PDWKh6dGU96g4r6fjljZpsf6OvHKpYkMCnLjl4OFvPl3mqD9uGpoEItmxrA1vZKp72wXygPDQ91xtrNhR0al0Lkxf6A/j02LEWwFGlXt/LCvgE+3Z1PfevoLkq5wsbNhSIgbQ0LciPdzBglotXo0Oj06veGzVqdDo9WTWdHELwcKKKlXUVKvwlEpJ9BoHtkda06WEuvrxBPTY7j2vx0C3R/353PLmFCrUrxcJiXC25FjhXWU1qvoH2hoizUEHx2BRVfdLp0DMvM2W/PyzGWD+ybO32HMeoyK8OjRq+R8cdEGH5tSylkwKIDdWdUUmznlqdp1VsFGXTfBx/7cavR6iPdzJqXUMJnW38WWycbprs+uSEKj0zM1zocZCQaP//SyRm7/9iBqowX70gWJ50Tn4Oag4OYxYdw0OpS9OdX8sC+fv5PLhW4YT0clCwcH0q7VseZkqTBDJsjdjjn9/cgsbxQU7iY2pVawOa2ChYMCeXR6NAGudrjY27BkXgLXDA9myapki2mUfeWDLVl8sCWL9Q+PI9a3bwI7EZELHcNKOpOvduXSrtVjI5Nw65gw7p8c2efJpbXNaga9vNFim6NSzr5npmBnI+Pr3bksXZNqZT/+zOxYbhkTRnpZIwv/s4djxiGbcX7OLF2QgJ2NnLu+P8yhfEMWNNzLgQGBruzJrhJ0auOiPHlyZqzQNlvf0s7Xe3L5cmdulwL50yHEw54hIW4MDXFnWKgbEV6OfQrMHp4axbIjxXy9O5ecSkNpWSqBYaHu3RqXvb0xg0+vH4yzrZwGlQZ7hYwWtZZlR4p5dFp0tz9Laryemzw5zDMfpq8VZm27nTtdzA3GjpkNPZ0W79PL39aAKfN1IZZc4CIMPkwnUINKI9jndq4/Fney7a3ppozQZEyV+bvaCmLNoaHuyKQSKhpUHMirQSpBGLJWWt8qWLAPCXHjw2sG9dnrokWt4XB+rcEq/WSpRbpuUowXVw0LZniYu2AW1hmJRMLoCE9GRxg0Kj8fKODnAwVUNLbxzZ48pBJDpCxBQkppg+Co6udiy9AQN/JrWgRVOxh8UJYdKWL18RJuGh3CA1OicLa1IcbXiZ/uGMG6pDKW/pUiGCKdDjPf20msrxOrHxjbq5k4IiIXMjqdnpXHinltXZrwXpoQ7cXzl8Sf0tK7M3q9niWrkvnWqLUw8ePtIxgT6cnxwjoWrzxppceaFu/DknkJOCrlLP0rhe/35aPTGwKWR6dFc+mgAN7fnMl3e/PQ6Q3Xzcmx3hTWtAgllmB3e56fG8+UOG8kEgltGi3f7cnngy2ZVoPS+orJGmBCtBeDQ9zQ6vQcNxosfrMn12ohZI6no5LpCT48NCVK8CuyV8i5YWQI1w0PZntmJV/tymVnZhUH8moYE+nB7qyuF0nvbcpkUqw3fx4rEUol2ZVd/2xTWGcKiTq8Pjr+FnnGklqIWQdl525D88yHuZi/L1OJm9sM9wm4MMWmcBEGH/MG+PPLwULAEMWDwfveJA4C62Cku8yHxsyorMb4HNNNP9moAA/3chSmMX66LZuyBpXR9XRor3r0a5vVXPX53h7fbCa2plcKqVtzHBQyXpyfyIKB/hbBjq+LLY9Mi+b+yZFsTCnn+7357M2pFt6IAa52DAxypai2ldJ6ldBCHOBqR1VTm4VQV63V8cXOXFYcLWbRjFguHxKIVCphdj8/JsV48+n2bN43TvU9HdLKGolavI43L+tvNR9HROTfwomiOpas6hgxH+phz3Nz45kc693nDOjRglou/WSPxbZLBwXwzpUDaFBpeG5lEt/vswxKfJ1teWm+wRb9z2MlLF2TKtz8Lhngz+LZcezJrmLauzuE7aPCPVDaSFlzshS93mAcdv9kw4RaWxsZer2eVcdLeHN92hnPWxluHDQ3Ld6H7RmV/N/f6WR3MauqJ6qa2vhpfwE/7Tdo8C4fEsilgwIYHeGBVCphUow3k2K8eXr5CX4+UEhScQNeTkqLRZWJtLJGLh8SyJ/HSoTrfV53HTpG7yjTv7GrzEeu0R8p3LOjbGPe6SKRYDG9d/lpOkvvza6mXasn2N2eUM9TD0U9H1x8wcfAjuDDZPBVUN2Cj7OtEHQYdB/CudStSMqUwpTLpNQan+NhDD5SjO6A8X6GcoFOp+fvZIM6/KlZsRaTDrvj+715PPdncp9/x840q7U8/vtxHv/9OGAwP3tserQgcLWRSZndz4/Z/fzIqmjkh30FgsNgcV0rIR72RHi5k1/dQlmDitqWdhRyKQ4KGSqNziKVW9WkZtGyE/ywP58XLklgSIgbdgoZj0yL5vIhgbz8V4qgkj8dFi07waJlJ9j79GT8XHoesS0icqFQ1dTG/61P57fDheiNmYQHJkdx69jQPgvNVe1apry93WqRtP+ZKXg7KVl1vIQXV6dYXbfuGh/Og1OiKK1v5Zov9gnjHcK9HHh5fiLuDgoe+PmIIDQP8bAnytuJA7nVNBgzGfMH+vPUrFjhvXcgt4ZX1qZy3Kw80Fe8nZRcNiSQkeEefL07V7hOnS3+OFzEH4eLGBflyVc3DxOyp0vmJZBS0sDxonqrWSrmSCUS5FKJEHzkVjULTqbmCJkP42ZTl09LW0fwYQpczGeFmbub+jnbWugzVO2GBZ6nY++zHtCh9xgffeF2Dl50wceIsA6L2ZTSBqEMY95ZUVzbio1UKoiCujL9gg4xkFwqEd7obp2CjwSjp8eJ4nrKGlQ4KGQW7n5d0dxmGMb2T/H5jhw+32EQwl49LIhn58YLv3+ktxNL5iXw6PRovtmdxxc7c8ivbiG/uoVwLwcmRHuRVdFEcV0ragyrIIVSSoOq3WKI3Ymiei77zx4WDg7gqZmxeDvbEuRuz+c3DmVLWjnPrUw+o3a7Ua9tYVaiL59cN1j0BhG5YGnXGlyD39uUIZQiLh0UwFOzYoWSQF/4clcuL3caAvfOlQNYODiQnMomrv/tmFUJYXCwK69c2o8QD3s+2JzFf3fmoNHpsbWR8sDkKK4eFsTHW7P5dm8eWp0eOxsZQ0PdKK5tZVOqYaEQ5+fMi/MSGG7suMiubOKNdWmnvZCQSyVMjvVmULAbm1PL+c+2bP6zLfu09tUVno4Kq3kpOzOriFq8jl1PTiLQzR6lXMZ/rh/C3A93UVjTajF+w5yjhXWMDPcQBue1qLVUNrZZGSOarn8mnyjTVald1zGktMg46yXMLBuRa5ZJ6ezxYWJhH8WmOzMvXH8PExdd8GHun7H6eAnhXg4kFTegNHM5LaptJdjDXjgRm9o0Fi51Jsznw9R2KruYjHdMhmJ/JxvmKEyM9e7RKGZ9Uil3/3DklL/H4GBXxkd7YSOTGszH1Dpa2zUWBmTFda3knCJl+cvBQiETtGCgP69c2g8HpRxnWxsenBLFTaND+WpXLl/tMgi1ciqbifZxZHy0F0nF9dQ0q2lt1+JiZ4ONTGL1hl9+pJi/k8p4YEoUt4wxrPImx/ow+jFPPtmaZeUz0BfWJZUR9vRavr11OBMuUFGVyMXLrswqlqzuGEOfGODMkksSGBrat5ZJMKyYJ761zWLbwCBX/rh7FBqdnnc2ZvBBp7KmnY2M5y+J56qhQWxMLef2bw8JAf/UOB9euCSew/m1zHx/p1ByGBDkioSOm5ervQ2PT4/hmuHByKQSqpvajFoQy3JObwnxsOfKoUE0qNr5bHtOr4IXhVzKkGA3EgOccVTa4KCU4aCUY6+Q4aiUY6+Q46CUkV7WyObUCnZkVlpdh8wZ+8ZWdi6aRJC7Pf6udnx4zSBu+HJ/l4EHwK7MSh6YHCUEH2AIGKyCD4ToA+go3wsZ9poWdHpDGdzcs+Wo2VBQc72HeRmoLzNdCmtayK1qRi6VMCriwprnYs5FF3yY83dyOfMH+pNU3GChPi6uayXaxzIKrmtRW51spjScXCqh2pT5sFfQ1KYRollT2cUUfJi6Xrri8x3ZvLo2rcvHbGQGoej0BB+mxfn02o68okHF3pxq9mZXsye72qq335yVx0oEO2STJ4CLnQ2PTIvmljGhfGkMQjLKm8gobyLc0wEfZ1uyK5uEVjofZyUarV74e4Ch7PP6ujR+OVDA85fEMznWB1sbGY9Oj2HBoACe/zPZ4o3dV2766gByqYSjz0/rc5eAiMjZprCmhaVrUoQyq7uDgkUzYrhiaFCf3Um1Oj03fXXA6v1hGgK3I6OS5/5MIr/TrKWFgwJ4Zk4crWott393SBgBEeBqx5J5CQS72xtGGxg7PfxdbPF3tSOppB5Vuw6pxGAZ8Oi0aFztFajatXy6PZf/+zv9tP4mkd6OzOnnx++HCk+5D4nE4JvRL9AFG5kUPxdbNDo9LW1a6lrVlNRpaVZraFFradNoGRTkxtR4Hy4bHMgVQ4No02jZl1PD5tRyNqWUU1KvwkYmYXCwm9DZMu7Nray+fyz9Al0YE+nJ4zNieHN918dV29KOr4vl9TavupkRnQa16c1iD71eT6HxWmvy7RDEph4OQra2UdVORkVHy695+Wf18RLh69gepup2xjRhfXCI2wV9Pbwog48QD3vhzRruaVCXm2c+ciqbmd6pram2pd3qht+R+ejQfLg7KEgzZj18nQ2mNlkVjeRUNqOQSZkU0/UKXa3RdRt43DUhnPsmRQpD6vqCt7Mt8wcGMH+gIXIuqm1hb7YhGNlt1i7Xmanv7ADgzcv7c+XQIFztFTw2PYZbx4Txxc4cYeASGGq2Wp0h4ChvaEMhkxLgakddi1qYYgmQV93Crd8cYlKMF8/NjSfcy5FwL0e+v204a06WsmRVipXyu7dodHr6LdnAPRMjeHJm7GntQ0TkTGhRa/jPtmw+25GDWqNDJpVw46gQHp4S3eXU6lPRVRb00WnRPDglivIGFff/dESYtWIi3MuBpQsSGRrizhc7c/hwSyaqdh02Mgl3jg/nptGhfLY9h7t/OIzWWHqJ9nGirF4ltNOOCHNnybwE4vyc0en0LDtcxKtrUy0WFL0lzs8ZX2clW9MrexScR3g5MDDIDYVcQn1rO2tPlvVqQi3A7qxqPtpqyKBeMSSQqfE+jI30ZEK0F8/OieeRX4+x5mQpB/NqLK79l3y0iyPPTcPdQcGtY8J4b1Nmt7OqsjtlRbqyhReCD4mhDG9yqDVlPkwL0jCvjpLL8cJ6i3K1eeZj+dEOsWlfSsumFtsLPRt8RsHHa6+9xjPPPMNDDz3Ee++9BxgivhdffJHPP/+c2tpaRowYwccff0xCgrUr3Pli/gB/Id3vZ4xoW9RalHIpbRodaq3OKtDoymjMlPmQSKDOuPJ3c7AR5gGYSi7rjSOwx0R6dBuJXvvFvi63PzYtutt5AuUNKu7+4bBF2q47nJRyLhsSyOXGjyuGGizZ08oa+fVgIb8fKrQIFEws+uMEi/44wdz+frx31UDcHBQsmhnLbWPD+HxnDt/tyRemLirkUtTGv19xXStKuRQnpZxmtQZze4Gt6ZXsytph4Wkwt78/E6K9eG9TJl/uyj3l79MdptrxmgfHkuDftyFMIiKng16v568Tpby6NpVSY0v56AgPlsxLsBjp0FtqmtUM7uTZ4WwrZ+/TU7C1kfHtnjxeWZNqNZb9sWnR3DkhnMP5tcx6f4fQJTIq3IOXFySQXNLAnA92Cen8aB9HNFo9J4w3eT8XW56ZHcfc/n5IJBL2ZFWxdE2qUELuC9E+jtS3thtdlbt+jkIuJdjdHgkG9+S+drV0xe+Hi/j9sOGm/eDkSB6ZFs0H1wzCQSnjt0NFVhmitzak8+ql/bC1kTEizF0oN3VmR2YlClmHDrCrjhfzVltThtnX2VYos+dWG4MPM7Hp0QJLF2nzuV+nM66iXasTTCEvZL0HnEHwcfDgQT7//HP69+9vsf3NN9/knXfe4ZtvviE6OpqlS5cybdo00tPTcXLq+xvxn2BqvI8QfDQZTXByKpsZFOwqKMDtOukyaruI+rVGIVFzm0aIXt3sFVadLqb0a3cll+qmNmHVYc7Ts2K5a0KE1fb0skZmvLej51+yE41tGr7Zk2flPHrV0CAenxHDU7NiWXuylJ8PFFjZqgP8daKUv06UYmsjZdeTk/F0VPL0rDjuGBfOZ9uz+W5vvtB6K5EY3oBtGh1txhWgRXiPYdrjZztyWHakmKdmxbJwUABOtjY8N9cwV+LZlSeFdsTTYc4Hu4jwcmDdQ+MvSHc/kf8NUkoaWLI6WShfBLja8dzcOGYk+PZZCK3X63nuzySrkfY/3zGSUREenCiqY/GKJCt78HFRnrw83zBz5allJwVvCE9HBc/OiScxwJnnVnYY/vm52OLlpCS1tIF2rWEOyV3jw7lnYgT2CjlFtS28siaVdcZFU1+I9XUirczakNAc001crdF1q7M4G3ywJYu86hbeuXIAry/sj4NSzte78yye89P+AhbPjsNBKWdspGe3wceRgjpkZv/PvCrr8rXerNW2oFPJxfAaY6eLmdj0qFmXkJu9DTFdBKvdZcu74mhBHU1tGtwdFEKzw4XKaQUfTU1NXHfddXzxxRcsXbpU2K7X63nvvfdYvHgxCxcuBODbb7/Fx8eHn376ibvuuuvsHPUZYr4i3pdTjURimODq7dSR7VDIpUglCCv2ruaVaIy+ICYVu7OtHBuZlKI6Y0nHywG9Xk9yieFi0d3AtCFLN1ltW3JJPDePCbPYtjuriuvMrH7N8XRU4O9qR4CrHX4udvi72uJqryC1tIEVR4u7bRf+9VAhvx4yCE6vHBrIVzcPo7zBMNHx90OFQoudCVW7jqHG41330Dji/JxZPCeeO8aH89GWLH7cX4BWZ5BeKWRStHq9lauiOVVNbTz++3F+2JfPS/MT6B/oSry/M3/cPZo/Dhfx0l8pQoDYV7Irm4l+dh2vXJrIdSNCTmsfIiJdUVDdwjsb0/nzeAl6PdjaSLl3YiR3jg/v8+RRMPgyXNMp+3n5kED+7/L+NLZpeP7PJCuRp6ejkhcuiWd2Pz9+OlDAm+vTaFRpkEjg+hEhPDA5ku/25vPEH8dp1+pRyqUk+DtTXNcqZDsmxXixZF4CIR4OqNq1fLg5k7c3ZvT5+PsHunCiqL5Hy3ITnTM2XRHv58yYSA88HZU4KOU42cpxVMpxUHZ8NgzSrGRHRiV51V1r2VYdL6FR1c5/rh/C88auvg87idzv/+kIX98ynHFRXry2ruvSt1anR2K2humpBCVBIug9grsIPsKMBmN6vd4i8zE8zF1wbTUvP3e+D/SEqeQyNtKzz9b855rTCj7uu+8+5syZw9SpUy2Cj9zcXMrKypg+fbqwTalUMmHCBPbs2dNl8NHW1kZbW8cfuqHh9Cej9hZz0deGlHKC3O0orDGUCUxUNLYR6uEg1PZ6KruojBMRTX3dpr59jVZPm0YnBDDOdtYll/Qu3qzXjgi2OuG6msmwYKA//3fFAKHjZWdmFRuSyzmQV41cKkUhl6KUSxkY5IpCZvheo9ORX91CQXWLlfXxb4eKhGFSd44PZ9dTk9maVsHPBwqEjJA5s97fCcCWxyYQ7uXIS/MTuXFUKK+uTWVLWgVqrSHrYa+Q0dbJD6QzxwrrmP/xbm4YGcJj02NwsbPhymEGs6E3/07j5wOF3b72VCxekcTiFUnsfmqyUH8VETkdKhpUfLAlk18OFArv/7n9/XhqViyBbl23SfZEbbOaIUs30vmtcWDxFLwcu/fsuHVMGI9MiyK/uoWFn+wW9BH9AlxYuiCRmmY1l326R3BejvV1QiKRCNlEPxdbXrgkgRkJBm3bppRynl2ZRFlD35yIBwS6cLyoXghmThc7GxlXDw9idIQnw8PcceniWtmZME8HwXK8oLqFHZmV/Hms2CpzuzW9khu+3M9XNw/jkanRrDxWLPxdTI/r9XpifZ26bNE1ITVbjTrbWd86TZlfmVQiZD5MwUerWiu4PIcZdYZ51S0Wi9qRZgLWr8xKz6P70LGy4wKeYtuZPgcfv/zyC0eOHOHgwYNWj5WVGdJ0Pj6WYk0fHx/y87tuzXrttdd48cUX+3oYZ8yUWG9hIm24p6Mh+DATnRbWtBDp7SgEH13V+EwhjKtRTFbdpEZn7JMHaG3X0tbeEeXbdmEm1FX55PpOq/Sf9hdYBB4PTI7k0WnRVDerWXGkmA0pZezMrLJwHO0Nno4KBge7kVXRZCWgMvcCeWZ2LK9c2o/Pt+cIWRJzJr+9HYA9T00m0tuRr24exs7MSl5Zk0paWaOgp7G3kfU460Gvh+/25rP2ZCmL58SxYGAAbg4KXlvYn8uHBPHsyiRST6P+bGLM61uYGufDFzcOEb1BRPpEfUs7n+7I5uvduYLx0/hoLxbNiBFmmvQFnU7P438cZ/mRYovtH107iLn9/cmtaubRX627XAYHu/LygkSC3O156+90wRbdSSnn8RkxTInzZulfqaw3dtd5OioJdLMjvayR1nYtcqmE28aF8eDkKByUcnKrmnlpdXKXzsg9EeBqR3Fda69FoV0xb4A/0xN8GBnuIUzAPV2CPey53iOEa4YH8+LqZKss0cG8Wq77736W3zOaq4cFW3Xc7M+tYWS4B2MjPYWOv87IpRJMYUnn4Eit0QnZjhAPeyG4MQUf+TWG66uzrRw34/2is97DPPj4xMzzpLcjJWqa1UJJbnw3WfYLiT4FH4WFhTz00ENs2LABW9vuWz2tnN+6cIMz8fTTT/Poo48K3zc0NBAU9M/bZ981IUIIPpxsDX8G89XH+qQyLhsSIPShH+vCwS/QzbCKbjWqmtVaHTUtaiHt2tquRaUxZEWkEkO77KkYEOhiITrKLG/kmRUnhe8zls5CIZfy/b58XlyVLKy+wBBxO9vKBbX1qahqUlv02ZsEt515dW0ar65NY2CQK2sfHMeP+/P5cX+B1fNGv74FgCPPTWNclBdrHvTkt0OFvL0hnaomNW0aHXY2MtTanrMgVU1qHvn1OL8cKGTpgkSifJwYEuLG6vvH8N3efF7qZLLUFzallhP29Fq+unkok2P7NqhJ5OKjRa3h6915fLY9WyhBDg52ZdHMWIubRV/oavLsrERfPrp2MO1aHe9uzLDqDHFQGDw7rhgSxOoTJdz89UFBODpvgMF1dM2JUqa/u4MWtRaZVEKivzNVTWrh2jU81J2XFyQS4+tEi1rDm+vTLG5yvcHJVk6jSnPaBoEjwty5fVw4k2K8rOZatWm0pJY2UtnYRm2zmupmNdVNbdS0qFG1axke6s7lQ4MsDCE7I5NKeNHYSrx0TarFYyeK6tmcVsEVQwN5d2OGxbXzqWUn2PbEJMZFeXUbfJhrPjoHH/nVzWh0ehwUMvxcbM00H4Z7REfJpaPN1rxRwNVM76EzO67Z/bq3ZujMzsxK9HpDlqu3Vgznkz4FH4cPH6aiooIhQ4YI27RaLTt27OCjjz4iPd0QTZaVleHn5yc8p6KiwiobYkKpVKJUnlnUezoMDXETvk4yRotH8mtxUsppbNNQ1qCySKNmVTbRqGq36FYJNw6BKqptxdPRMBugrF6FncLwpmpRa4WSjK2NzCoA66qt66phwcLXrWot097tyIzsenISNjKJxcUp2N1eONG1On2X2pTecqrMybHCOmZ/sBOFTMpPt49gQ0q5lYAVEJT6J5dM55rhwczt78d/tmXz3125tLZbd9R0x/7cGma9v5Pbx4Xz4JRI7BVybh0bxpz+fixdk2rRB99Xbv3mEADHn59+Wm2QIv/bqDU6fj1YwAdbsoSbfIyPE4/PiGFqXN/nsACU1LUKAbo5BxdPxctJyc7MSp5dae3ZcdXQIJ6cFUtdi5obzTw/wj0deGl+IrY2Um795qCgtwjzdMDORiZkJTwcFDwzO46Fgw3t9n+dKOGpZSdPS0t1ugPjHp0WzZVDgyz8MorrWvl8e7bVULzuWHuyjCWrDQuPAYEuLJ4Tz7BQN6v/hUQi4fZx4QS62VsFec+uTOLg4qnMSPBlzcmObHJedQt6vZ4BQa7d/nyZ2eLRtVPwYRLORno70q7VU1pvCM5MgtNco0DVUmxqpvcI7dB7mLpVAB6bHtPt8XRmR4bhvLjQW2xN9Cn4mDJlCidPnrTYdssttxAbG8uTTz5JeHg4vr6+bNy4kUGDBgGgVqvZvn07b7zxxtk76rOAuRjHJFZKK2tkXFSH4rmhteNGrtfDyeJ6Rkd0pLNMFrn51S1E+TgKwYdpmqGqXSukaLsSoR3oNMrZXiFj3kB/4fu459cLX39y3WD8XOws1PCz+/mSWnpqgdfZRq3Vca1R+PrWFQNIL2vgi53W7bH9lmzA3UHBnqcms2hmLNcMD+bNv9P7FDRodHo+3Z7N6uMlPH9JPNPjffBxtuXDawZx1dAgnl15sluxWW8Y8NIGbhsbxnNz4097HyL/O2h1elYdL+bdjZkWq9dHp0Uzb0BAn03CADRaHTd/fdCqhGJy5q1oUPHAz0et3hexvk68cmkiCf4ufLI1i0+356DWGpyW758UyVXDgnhnQ4ZQCnW2lRPq6UBuZTONbQbh6bXDg1k0IxYXexsyyht54c+Orpd/msHBrjwyLZoxEQbxY3FdK4/+eozlR4tP/eJTcLyonis/2wvAg1OiuhxxPzPRlzcv78+iP04I2yob28gsb+TaEcEWwQdAQ6vGQvfXmZ4yH5lC8OFESV0rOqMI2ctYTsqtMjxuume0qDUW127zLJq5fX5vpxzr9Xp2/ov0HtDH4MPJyYnExESLbQ4ODnh4eAjbH374YV599VWioqKIiori1Vdfxd7enmuvvfbsHfVZwtzLP8HfmeSSBotyRVVTm8WAueOFlsGHv6ud4G1hypSVNqg6yi7mmY8uTuq/TlhebOb29xNSilvTK4Tt8wf6MyXOmwd/Psqak6VIJDAs1J21J/veCne2MQ2BundiBHqwms9Q06wm9rn1DAhyZdndo/jwmkHcPDqUl/9K6bKU1R3Fda3c9f1hpsR6s2ReAkHu9oyN8uTvR8bzxY4c3trQd4W+iS935fLlrlz+uHvUaVlfi/z70ev1bE6t4K0N6UIGwdNRyYNTIrl6WPBpt2v/tL/AomwKcNOoEJbMS0Cr0/PtnjyWrE7u3InOs3PiuHl0KLuyqpj+7g4hEJoQ7cWL8xI4kFvDzPd2CJnOeD9nGtvaBeFnYoAzSxf0Y2CQKw2qdl5ancJXu0/fP6cvPD49mquHB+PpqKS5TcNjvx+3GA3fFSPD3bl7QgRDQ91xUFhnicFwPf31YAEvr0m1KNt+sDmTDcllrHtonNXrFgwM4M316RbdI1/vyWPp/ERCPewtFi551c14OnWfhTcPPLsLPqJ8HC3EpqbjMT1uCj5OFtVb/A4jwjuuO+nlhvPPJAfoDenljVQ0tglzef4NnHWH00WLFtHa2sq9994rmIxt2LDhgvH4MOfuCRHCzXNoiJtV8HG8sJ5g9w5HvM6TG2VSCaEe9mSUN9GqNqQjy+pbcVQaTszWdrPgQ2Gd+TDNVDExu19HqerhX44JX7931UDe2ZjBmpOlSCXg7WRrlTU535hqx3P7+xHm6WDVzna8sI7Ixeu4f1Ikj8+IYcW9o1l9opQ31qX1qX68Oa2CXVlVPDA5kjvGh6OUy7h/chTzBwbwwqpkwUb6dLj8072CmZNDD3Vlkf8t9uVU839/p3PY6LXjZCvn7gkR3DImVMhi9pWsikbBJdiEi50Nu56chJOtDQfzanj+z2QrAfWc/n48N8eQhXvwl6PCAsPX2ZYXLoknzMuBx38/LvgC+bvY4mKvILWsAb3ecOxPzIjhuhEhSCWw7HARz65M6lO583R547J+XDooEBuZhGVHinucTjs93of7JkX2WObojJ1Cxs1jwoROwIzyRqYby9JpZY2EPb2W9KUzLaYEK+RSbh8XxutmLbQ/7S/gqVmxDA11twg+/jpRwm1jw7v9+eYakc6di0LZxcuRwlrLTpemNg0njUHh4GBDYGDu7+FiZ0Ocr0HnZ37/eXFe7405TS22I8Pd+zwl+XxxxlfYbdu2WXwvkUhYsmQJS5YsOdNd/+PM6ecnvEFMDqXm/dsH8moYF+XZEXwU1VntI8zTgYzyJlqM7qCl9Sr6Bxii51a1FpVRR9FVp0tnzEfEm2alxPo6oWrXCertCC9HIYoGQ8amvrWdotrTnxB7NjHZPV85NBClXMb3+yzruR9tzeKjrVn8cNsIg9o93odPtmXz6fbsbq2NO9Om0fHWhgyWHynmpfmJjI3yJMjdni9vGsrGlHIWr0yyGMrUFxpUhonCok37/z5JxfX839/pwiwMWxspN48O4+4J4bja922EuQlVu5a5H+6yMs9aed8YBga5UtGg4vk/k60yAcHu9ixdkMjoCA++2ZPHuxszaDYKR28ZHcqd48P5765c7v/5KFqdHnuFjDBPB4rrWikxBjCXDgrg6dmxeDvZklXRyOIVScIsk3+Sd68awCX9/cmrbmH6u9u7LYP+57rBzEzsu/lad0T7OJH1yiz6v7hBuP7GPLueQ89OteieuXZEMB9tybLQuCw/XGQx3A0MZXVpDwku88DAPPOh1enJruzIfBzMN/zNTXqPg7k1aHR6gtzthG3d+Xt8srVj0Ta3f0cJ/lSY9B7/lpILXKSzXUzYmWUj9mRXCyUUc8xP2NJ6FeUNKotR2Iae7XJhZVHeoMLOOHa6tV1Lq9okOD112tbD0XDBM79wvXJpIsuPFlHf2o6zrdxKjJZf3dKtcMzZVk6YlyMh7vaEeNgT7G5PoJs9zW0aimpbKK5rpai2lcLaltOy8u0Jk1/IDSNDKGtQsbHT9MrrvzRoRg4unsqj06K5bHAAS1b1reUvp6qZ67/czyUD/Hl2Thw+zrZMT/BlbJQnH27JOqMR3SabdtNNQ+R/h5zKJt7emCG0r8ulEq4eHsSDk6POqEvgoy2ZVuW/x6dHc//kKNq1Or7YkcMb69MsVtAAj0yN5q4J4SSXNDD3w11C2WdwsCtLF/SjoKaF+R/vFqzbY3ycaNfqSDY6KUd4OfDygkRGR3jSqtaeVhfL6fDJdYOZmeDLt3vziFy8rsvn3Dw6lKdnx/5jq3G5TErKSzN5+JejQpfK0KWbyHt9jvAcZ1sbrh4WxH/NvDM2pVYwKdbbYl9Fta3Ie4o+zDAPPgprWoSp54Fu9mQa3V1DjIHGbqPWZ4yxZK/X6y3cm0eEdZRczI+xt6W+VrWWA3mGgEcMPv5FmExlKhvbGBPpwe4sSzFW55bV44V1TDezSQ831vBM5ZXSekvNh8nxv3NnaWunOSoSicGaHWDJqmRh+6AgN0Ew1a7VW7kDdhV4+LnYsmhmDPMHBFi53Bn0KXqkEglSCYbPxufUt7azO6uKrWkVrDpe0mffkK4wZT5uHBXC0YI6K2voYa9swttJyZ6nJvPVzcPYlFrBi6uT+5TJWX28hG1pFTw+I4brR4Zgr5Dz5EyDZftzfyZ1aZDWWxZ8vBsvJyXbn5h42il4kQuD0vpWPticyW+HigyOlRJDm+qj06IJMZu30VeOFtRy6Sd7LLbF+Dix6oExKOUydmVWsWR1slU2ZEK0Fy/NT8DZ1oYlq5KFMqyrvQ1PzYxldIQnS1Z3lBK9nZT4utiSVtqIWqtDKZfy4JQo7hgXjkIuZUtaOYv+ONHjOPmzwX9vHMrkWG9eW5fKvT8esXo8wsuB/940TNA3mFPf0s7xojrKGlSU16sMnxvaKG8wLOxkUgkRXo5EeDkQ6e1IhJcjkT6OFu7TXfHe1YPwdFQKN+9dmVUWjtK3jA2zuLHvyqriiqGBFvsoqm21EJX2hHnwYfq/msShB43ZpiEhhqBit7F7ZXSk4XiK61otMrMmsal5i+2lgwJ6dRxgCG7UGh0BrnbC/ejfwEV/NX1ubjwPGfUVif4uVsFHe6cb8PGiTsGHcUJhu9Fq3bzbpVmtIcDVEP12vpnqOinM3OwVgqDJXBW/I7NSGLh0qrqtvULGPRMiuH1cuEVWJ6eyiU2p5WxKqeBQfo1VIAQd+pUBQa4MDHLlupEhaHU6dmZW8eP+gtMuY5gwlY2uGR7EhuRyi/JWRWMbkYvXcd+kCJ6YEcu4KM8+l2Ia2zS8sCqZZUeKePXSfiQGuBDl48TPd4xk5bFiFq9IElKzfaWysY345//mrvHhPDUrVjQo+5dR26zmk21ZfLs3XzifpsR68/iMGOL8Tn/+RaOqndGvb7FqP9306AQivR0prmvllTUpVsJwH2clSy5JYEaCL38cKeL1dWnCIueKIYE8PiOGPw4XMf297cJE2ng/Z8oaVIKgdGKMFy/NSyTYw57S+laWrEoWZkj9U3x363BGRXjw8K/HuP27Q1aPv3FZP64cGmTx/tBodRwvqmN7RhU7Mys5XljX5fXHnNJ6lVVn0PR4H56dE0+wR/cusovnxAkBxvVf7rfIfnTlbNy57AL0WHYxx7w9XxCbejuSUtJAY5sGJ6WceH9naprVgq5nlDHIMPf3cLaVC+egqfwH8PiM3rfY/mnskjqdeULnk4s++Jjb318IPo520X1RUq/Cx1kpjJ4/Xmi5cu8c3beotTgbVcq5Vc2CyUxVUxstao0QmHQeXOfhYMh6qMwCjBfnJfBVp0FIYFDhdx49H+Bqx7J7Rgt99PWt7Xy2PZu/k8t6NS3SULdsJruy2cJ1cWCQK3P6+RHja0j1vrDKWpnfF0w26QsG+luZ+Xy8NZuPt2bzy50jeXRaNAsHBbBkdTLb+lCKOVFUz7yPdnHjqFAemx6Nk60Nlw4KZHKsD29vSLdyPuwLn+3I4bMdOfx0xwiLrieRC5O6FjXf7Mnjy525grPu8FB3Fs2MOaOuJp1Oz5PLTgjTU028vrAfVw8PRtWu7bIEA4ausPsmRVJU28pVn+8VrMCjfRx55dJ+tGt1XPvFPuE9G+HlgELe4dlhClxmJvqi1en5784cKzOts83nNwxhdKQnN311gBu/OmD1+LJ7RjPEzDeppK6V7RmGmSu7s6qs5kOFeTogl0pQ2kjxd7ETZlL5u9qh1etpVLVTUN1CdmUTWRVN5Ne0sCGlnG0ZlRYD8DojkUh4YkaM4F56pKBWEHiCITgw18u5O1jrenrbSu3h0BG4ZFYYymSR3o7CRPPhYe7IpBL2GrMeMT5OQrBjHnyYngfw4uqOjHdvx0A0qtrZYHSz7Uu25ELgog8+zE+2A7k1uNrbUNfJqMvVTtERfBTVodPphVKFu4MCZ1u5xRvMQSnHRiahUaWhUaXBxc6G+tZ2CmtaifE1dP10LoeY9B7mHTULBhpuvp2pbrYMPKQSeP/qgULgkV/dzK3fHDwrI6qPFdZZtMRePSyIcC8HMsubrC6+fcEUeMwb4M+qTv4GV39uGLB15LlpfH3zMDamlPPi6pRed8Xo9PDNnjzWJZXywiUJzEr0xcXOhpfmJ3LFkCCeWXHSqvzTF679wqBXOfrcNNy6uICJnF+K61r5784cfj1YKGS74v2ceWJmDBOjvc5odfjzgQKeXm7ZOjsuypNvbhmOTCphS1o5S1alCO2WJibFePH8JQl4Oyn5YHMmX+7KRWMcxfDwVEO31hvr0wQhqruDghAPg36gqU2DVAI3jzbMc3GyteFwfi1PLTthcTM927w8P4EZib5c+vGeLt97mx+bIJQa1BodG1PK+flAgVXWwoS7gwI3extqmtVCi3BXWjMnWznT4n24dkQwYyO9yK9uZsnqZHZnVfPhliyWHS7itcv6d2mmde/ECCH4WPjJHovsR7iXwyn/XtJenBveTkqLrEm2WebjD+M10VRK2Z1t+FuMjuzw8diT3fH3Mff3MAl1+2I1/3dyOW0aHRFeDiQGXNhTbDtz0QcfAJcM8BcMfkZHeFilSc1nvjSqNORWNwtvOolEQpiXo0XQUFTbSqS3E6mlDaSWNhDsbs/J4nryq5uF4KMzpkjafLBTVXNbl1mGztsemhItrOQO5NZw1/eHzsjptCfM24OvHBqIRqe3mk/RF1YdL8HPxZZYXycrsenglzcyMtydn+8YybgoL/6zrcNoqTeUN7Rx749HmBTjxUvzDfMw+gW6sPK+Mfx8oIBnVyad9nEDDHp5I/MG+PP+1QP/VenO/1XSyhr4bHsOq46XCB4KcX7O3Dsxgjn9/M5oyufBvBqu+HSv1fb9z0zBx9mW/OpmXlqdIoxsMBHsbs8Ll8QzOdabv5PLue6LfcKAsenxPjw3N55tGZVMf3c7DcaJtAMCXalrUQsr5AGBLrxiLCXWtah5evlJfj5gPd7gbHHHuDDuGBfOFZ/t5bk/LRc/Ps5KVt8/VhDm5lQ28evBQv44XNTjpFcw6Od6M/ahUaVh+ZFilh8pxslWzvR4X5Yu6Ed6WQMv/5VKcV0rd39/mDUPjhVcpk1IJBLunRghCG6rmtqEm3nnwX+tasOsG3MBcG8cXPsHdszy0ev1guYjzMtBsEAYZRwGt6eT2LSgusVi8q8p+DDPZPelxXalMVi9dFDAv+4aJAYfwKIZMULwIeui6GcSZ5rO0eOFdRbOc+GeDhbBx+H8GuL8TMFHoxB8dF4NmWMaTmeedSnpxUp/eKg790+OBAwn4qI/TvR4c3axs2FslCfjIj1xtVegatcKq0M9elrVWlJKGjhaWEduF8P0zDF1tPg4K4n2cSKvutliWmRvKa1XUVqvYlyUJyeL6y3+Bvtyagh7ei2f3zCER6fHsHBwYJ9LMVvTK5n27nZBnGcjk3L9yBBmJvry2to0lh05/QzOquMlrDpewsfXDmZOf79Tv0DkrKLX69mfW8On27MtzonRER7cPSGCcVGeZ3RR7s4S/Zc7RzIy3INWtZa3N6Rb+dqAodPl9nHhVDa2cdu3hwThaKCbHS/OS8DH2Zb7fzoilFRCPexxc1AIuggnWzmLZsZy7fBgwbPjqeUnBH3Z2WZ8tBevL+zHsyuTGP7qZovHBgS58sNtw3GytaFNo+XPY8XdTrs+mzSqNCw7UsTmtHK+vGkomx+bwK3fHGRPdjUP/3qMZfeMthq89vj0GCH4+Gl/AQ9OiQI6ZnGZKG9oQymXojHTgp3qmgfQL8BV+Lq0XkWzMYhpbtMY9B5GHUdxXSt51S1IJTDcaCL2d3LHwtbJTO/x3qaOEt2sxN7NcylvUAmZlfkD/10lFxCDD6CjHxtgW7q1SdWxwjr6B7oIYq9jhXUsHNyhlI7wstR9HMqvZU4/P5ZTTEppvTBCubCH4MMUcde2dKwMinvR8fH8JfHIpBIyyxt59LdjXYq5FHIpd4wLY0qcD/0CXEgrbeS3Q4X8fKDAqu2vK3yclbjY2ZBR3nXK0qBWN0TuU+O8qWxSWxmy9QaTrf30eB+LgXcAd35vmNFw/IXpfH3zMP5OLmfJquRejwBXtet4c306K48W88ql/RgW6o6no5K3rxzAlUMDeXr5SavJvn3hvp+OcN9Phvk7pzNaXaRvaHV6NiSX8emOHOFck0pgVj8/7hofTv9A1zPaf6tay6Wf7LZYpYKhFHHDqFD0ej3rTpby0l8pQgusiTn9/HhmThxejkq+2JnDh1syBeHoHePCuXlMKJ9szea7vXnCRNo4P2dyqpqE1Pv8gf4snhNn9OxoYvGKk/+YZ4eTrZxl94zmj8NFVoFWYoAzv981GjuFjJpmNW/9nc6P+/P/scxqZ4Ld7dFodZTUq7j2i/18cM0g3r5yADPf28mJonre25TBEzMs/XjMM1yb0yrMgg/L92VedTPNnUToJhv0njDPfBwx+nVEejsKJnUjjDoOU9ajf6ArzsaZYBtSOoKP4aEdeg/TyIzOx98Tq46VoNfDsFA3i3vYvwUx+DBiZyOjtV1Lo0pjMazNhIdZbb/zjXVYJ/FaUnE9DxizEamljUyMMfST95T5KDfeRPuS+fB2UpJgnID7/ubMLgMPfxdb/nP9EGL9nHhnQwYLO7UE9gbz4OJUbEo1BG+R3o7IpRKri3dvMAUe5nN2TAx4cQMzE3z5z/WDGRvlyTsbMvhmT+4pFfQmMsqbuOLTvVw1NIinZsXi5qBgRLgHfz8ynq935/Lq2rRT76QHxr6xlQR/Z1bcO+a0LblFukfVrmX5kWK+2JkjrFKVcilXDA3k9rHhFoO7TgedTs/ilScFYbSJy4cE8uZl/ZFKJWRVNLJkVYqVtiHax5EllyQwOtKTPdlV3PjlfkF3NTLcnZfnJ5Ja1sicD3YJ3WMDglxpa+/waQjzdOBlo3Geql3LOxsz+KDThNuzyU93jCC/ukVwCjVhr5Cxc9EkPByVVDSoeGdjOj/sKzgnTqnmFNS0YEpctWl03PPDYV6an8hrC/tx749H+GRbNuOjvBjRzYRh82t158xHbidNnJOtvFcLkH5mwcdOo7nXmEhPIQtkKqWYBsSNMeo9KhvbBGda8+fpzero1wzv/UR3kz5owb9MaGpCDD6MLJ4TJ2gAIr0N/vwKmVQoYZib5CSVNNCq1grtrIOC3YTgBYx+HMaWvoKaFsG/I7+H4MN0MTLPfBSdIvgYbxTPZZQ3Wg1JAkPq+cNrBtGi1hLz7Pou9vDPYaqD2tnIsLWRntZKaWdmFe4OCuxsZBaCt/XJZYQ9vZZf7xzJ85fEs3BwAM+sOClkpnrDr4cK2ZhazjOz47hscAA2Mil3jo9gbn9/Xv4rhXVJpz83J7mkgehn1/HA5Mg+TaUU6Z761nZ+2JfP17vzhPq4i50NN44K4abRoX0S6XVHV2LSSG9HVt0/BnuFnNpmNe9vzrSa5CyXSnh6dhw3jgqhqqmN+346IhiYeToqWDwnjgGBrjz/Z7IQsAS42hHoZsfRwjqDQZVMyr2TIrh7QgS2NjL2Zlfz5LITPS5YzoSX5xvmI5nE0+aYhKTFda08/2cSvxws7HXLe08EudvRP8AVJ1s5Dko5DgoZ9ko5eVXNVqMmzDHXuOn0hsm0fz0wliuGBPL74SL+7+90/rhntMVrzOd2meg83LNz1ndwsJtVQNKZAFc74VwzH+Y2OsKDX42/w8hwD/R6vWAuZuqM25RabvG7jIs2bDcvxTw6rXfXi/SyRlJKG7CRSZjT799Z7hWDDyOX9PcXgo9042pdLpNgyspVNKpwUsppbNOg1RlOOpPfh0IuZViYu+CvD4abr5+LLaX1KlrbDSWVoppWi04ZcyqE4KP3mQ+Tm937mzOtRKgDg1z57tbhbEmrEEoW54PWdu0ZrZZMAjXT4D9zrjJ2xaS8NIMV947h+715vLUho9ejwmua1Tz++3F+P1TIK5f2I9LbEX9XO/5z/RC2plfw5B8nhP/L6fDhliw+3GKwkjc3PBLpPWX1Kr7clcNP+wuEFLm/iy23jQvn6mFBZ2UGz6G8Gi7vQkxqKqGpNTq+3JXLOxvSrdL0VwwJZNHMWFzsbAwlls1ZtLZrkUrguhEhPDA5kh/2F/DkHyeFibRDgt0orG0RyihjIz15eUEiYZ4O1DareW5l0hl1kvXEzARf7pkYwfyPd1s99vMdIxkV4UFuVTOL/jjO8iPFvSrLdsed48O5cmgQEV4Op9TdvH5Zf/R6PenljTyz/KSFA6gJG5mEAFc78qpb+HhrFs/Ojef3w0UcKailvqXdwntjSpy3VfBR12IpdtV3umgOCXE75cTtfgEdWY/symZK6lUoZFIclHKa2jSCb0d2ZTMVjW2G/7exDdk8yIjwciDGx9B8sGRVxxTbrrxHumLlMUPWY1KM92mPAjjfiMGHEfMTt7iuFYkEC1OqIwV1TIv3EWzCN6aUW5iNjY30sAg+DubVEufnTGm9irqWduRSCWqtjvJGlcUMFxNNbRqa2zTUm71BOteSOzMu0tOQ9ThhnfVYPCeOdUllPPDz0W5fH+Bqx7BQN4aGuhs1EAphGF6L2mANX9Os5lhRHUfz64TU8JnSWWHeG0yBx8hwdyuRW/zzf3Pz6FCWzEtgZqIfL/2V3KeJv/tza5j1/g7unmDwYLC1kTEpxpsdiybxn23ZvH+GaW+Tlfy+p6cI7dAiPZNZ3shnO3L481ixILCM8XHirgnhXDLA30pkeDqU1rcy6rXuxaR6vZ5NKeW8ujbVKh3fP9CFJfMSGBzsxo6MSpasShaeMyTEjRfnJVDdrOaKz/YKIxESA5xRyKTCSHtPRyXPXxLPJUah8oqjRTy57ORZyTJ0xZ/3jWHRHyesAo+3rhjA5UMCya5s4qFfjrL6eEmvy5jmDAt1450rB562/kAikRDr68zye8ewL6daaLk30a7VC5qY9cllPDotmggvB7Irm9mTXcUsswzAlFgfPtueAxhKdbY2MisLBW2n4GNgkCsfdSEcNsei5GLMegwLcxPKO8PDPAx6D6MQdGiIG7Y2MhpV7ewxM7Cc099fCMhMurXeenvodHr+NOty+bciBh9m3D0hgk+3G1TSYZ4O5FQ242ZvI2QjHM1WWZvTKtDq9IJgqLPp1JGCWq4fGcKWtAoyyhsJcLMjv7qF/OqWLoMPMGQ/zFcIPV1g4/2ccXNQWA1uA4NgM87PucvWQDCkJN+6YgADg1yFVrHkkgZSShtIKWkgrawBtUaHi70NLnaGDw9HBdcMD0IplyGTSiitb+3TDd6cM1lN7cupwd3B4AZr7rr6zZ48vtmTx4ZHxvPJdUPYklbOcyuTe+0N0q7V8+GWLFYdL+Hl+YmMj/bC1kbGI9OiWTAogOf/TLLSn/SVka9tZlioGz/ePlLUg3TDwbwaPtueLWiHwGDEdM+ECCbGnJlHhwlVu5YFH3cvJgVILW1g6ZoUK8djFzsbnp4Vy5VDgyiua+Wu7w8JzqKejkqenhXL6EgPlv6VKpRCvZ0M3WAniuqEdtobRobw2PQYXOxsyK9u5tmVZ35+dcdbVwygrL7VKui4e0IET86MoapJzbNGnYu2j+9NT0cFX908rEuBr06np7ZFTUWjwT69XWscruZmf8qM1chwD5JfnEHCC393+bheb5ikPT7ai+zKZnZkVloEH4OCO44nuaSBISFu1LVaZj46/64SCads4+9vEXwY/l/jorwEc7GRxq4WYZ6L0VJ9W3qlxb5NAWeFmWD+pfm9a7E9kFdDSb0KJ1u51XyafxNi8GHGvZM6go8cY+3PUCc0BB+mSbNgSNkfzq9luHEoULyfs0Wg0qjSIDcGJiklDYR5OpBf3UJqaYMgNFo4KIDlZtMtKxpURHg5CqZerp3GNpvjb4ySM8otL6AyqYRFM2NZ9If1OGuJBG4dE8YTM2KwtZFxrLCOF1Yld9uZ0qDSUEjXN28/F1umxfvQYJyo29ub/NnAVIoZHuYu9NWbmP7uDtwdFBxaPJWNj3rw/uZM/rszt9cX1fzqFm786gBz+/vx/Nx4vJ1tCfN04Ltbh7MuqYynlp2wcmzsCwfzaol+dh33TozgiRkx/7re/H8CrU7P5tRyPtuRI3QMSCSGIPquCREWLpVngl6v55kVSVYeGVcMCeQNo5i0qqmNtzdkdOmjceOoEB6bFoPSRspHW7P4eGsWbRodMqmEm0aF8uCUSJYdKWbq29uFibQjwtypamoTtB4J/s68emk/BgS50q7V8fHWLMEU62yzYKA/lw8JEjJvJqK8HfnrwbFotHo+2JzF5zuyrcpJp+KLG4cyNc5bOH9V7VqO5NeyLaOS7/bmoWo/dfYmzs+ZaXHe3Do2rMvSgYNSTupLM4l7vmu92qrjJSy5JB4wTHXV6/XC8ZjPaDGVYTtnPjqXqs2v793R39hmq9bohIBjdISHkDEZGe6BVqcXsrMmvw/zkkuMjxNRppKLmYnk5F4GEiZvj9mJflY6ln8TYvBhhqkdyhxz/cCWtAqLTpiNKWVC8CGVShjVyaDM9Nr08kbumxjJtvRK9ufUcMuYMACuGBpkEXyUN7YxOsJD8J3oqZZnMj7raliVXCrpMivx8bWDmd3Pj+qmNl74M5lfD3Uv8joVJm8OE272NijlMupa1b268JwNTIHHgEAXwSsBDMFJ+DNr+eS6wTw9K44FAw2C1KNd1JG7468TpWxPr2TRzBiuHRGCTCphdj8/xkd78f6mDL7YmXvqnfTAJ9uy+WRbNp/dMIQZCb3r6/9fo6i2hd8OFfH7oULhXFLIpCwcHMAd48MtvHTOBL1ez+c7cnhtnWUnU4SXA6sfGIu9Qk6bRsvXO/N4b1OG1fk7IdqLZ+fEEeXjxOZUg9uu6RowIsydl+Yn0qzWcO0X+0kxzvGI8XHC00nBvpwatDo9jko5j02P5oaRIchlUg7n1/LkshNW79+zxYp7R3PjlwesRhhsenQCoR72/HaoiHc3ZfRpZpOno4K1D47D29kWnU7PiaJ6Vh0v4ctdp/deMJkwfrAli/smRXD72HArx2A7hYwPrxnUZflYq9PTZhTrFte1kl3ZTKS34ZxRaTqCKW+jjqKz6L1FbbmIONXfIsTDXijPHymopUWtxdNRgVanp6nN4GQd72fQptW3tuOklNM/wIU2jdbCg8bcD8j8Ot2bhYiqXStk1P6tXS4mxOCjEzeOChHmf5hs0WVSibBytjcb2LYxxdAtYTppxkR6WpxMlY1tQheMj9ERcH9utSA6NR+lDIbMx2yz1GF7DylApVyKRqsju9Ly4tUvwIWla1Ksnj9vgD+z+/mRUd7IlZ/ttVoFnCmGN7Zhn77OtjSrNb1yCzwbHC+qx9/FVnCONGGauJny0gyW3T2anw8W8Pq6tF4fV2Obhuf+TOaPI8W8siCRxAAXHJVyFs+J57IhgTy7Ismide50uMsoBt706Hgivbt2v/1fQq3RsTm1nJ8PFrIzs1JYfbra23D1sGBuHRN6RmPtO9NVBwt0iEn1ej1rT5by2rpUK4O8KG9HFs+JY2KMtzCywGQU5uOsZPGceMZHefLG+nR+OViAXm+4ZgwKdiW1tIF0Y1ZyTj8/npsbj6+LLfWt7by5Ppkf9/8zDqUfXDOI/TnVVlN2TUPfNqdWcPcPh/sU9Mzt78dbVwzA1kZGYU0LS1YlW3X8nCmmuU6fXDfY4hoIBgfq7rRrJXUq4vydOV5YR1ZFkxB8mL/HTdfe+k6C087Tf/NO0WZrLjY16T3GRnoKwuHhYe5IpRIhyzUi3B25TMrOtAqLRawp+DD3fXp5QWKPP9vEtvQKGlUa/Fxsre4f/zbE4KMTT8yIEYIPUxrOPGXfYJaay6tuIauiSUihjemk+zhaYDAn259bQ1ObBnuFjNqWdtLLG4nzc7bqeimrVwnlFECYhtgVSrmM/JoWK7fDeH9nK4Gkm70NL1wST4taw70/Hul14BHgaoder6fFKEDtrRCut8ZfZxNT4NE5CwIGQeq9EyNYNDOWqXE+vPBnMuuTe69XOV5Yx7yPdnHz6DAenR6No1JOrK8zv901ij+OFPHcyiTazlAkOPUdQ7lo2xMTu8zA/dsx2XAvO1JkcdEfHeHBVcOCmJHge1ZTyKuPl3R5wzIfgnayqJ6X/0qxElK72tvw2LRorhkeTLtWzzsb0vl0Rw5qjcEo7NaxYTwwOYr1SWVMeXu7YCs+MtwdVbtOWOUGudvx0vxEJsV4o9frWXOilEV/HO9ziaM3TIv34bLBAdz9g+WI+/HRXnxz8zBOFtdz1ef7rMqUPfHc3HhuGR2KSqPl14OFvLDKes5Ud8ilEoLc7QlwtUOt1VHf0k5dq2GmS0/XkXt/PMKvd4608u3Y/NgEpry93er5WZVNOBgXhOaaijKzhYhp0Gdn+3fzNubOQ+e6oju9x+oThuySqZy+5qTh+wlGfydzY7E4P2cho/fwr8eE7dcM652/h8nbY/7AgDMaF3AhIAYfnXA6xYW/pF6FRNJRL9yQUi4EHyEehjebSf9QXNfKlDhv9ufWsCuriqGhhnbcfTnVXY7yTiqxvGn21OaplEvJLLc28Oo8LRfgmdlxeDgqeey34z2ueAYGuTIpxpuBwa4MCHQRyj56vZ7Wdi0NrRrKGlSU1atIKW3gaEEtxwrrzlmGozeYAg9fZ1uLIMhU5tjz1GQ+vWEI65NKef7P5F630ur08NXuXGFY3YwEH6RSCVcODWJanA9v/p1+xvM2aprV9F9iMFH75LrB//qLi6pdy7qkUn4+UGhx0/NyUnLFkECuHBp0xqZgndmaVsEt3xy02v7VzUOZHOsDGAz9/u/vdGEImDl3jAvj/slRONvK+Tu5TJglAgbTuxcuSUCn13PrNweF3ynM04FQD3v25lQLTqZ3jY/g/smGzqmi2hae/zNZyJqcbX6+YyS3fHNA6MQzsf+ZKdjIpDyz4iS/Hirs9TTqD64ZxLwB/qSVNXDlZ3tPmd1zVMoZE+lBjK8zSrkUpVFMrdeDt7NhCJuPsy2+zrY4KOWklTXw68FCVhwt7nIhdNXn+6wygd2V4LIrmoj2MZZazFr6zUvCcqNw/3hRncVrzTUes/v58dmO7B5/z0FG7VFNs1oYTDk4xI3FKw2ZtVHhHuRUNpFU3GAo0xonD5v/X+Yasx56vV7QNznbyoVj7Im6FjVb0wyB7b+5y8WEGHx0weVDAoULU6CbHUWdbM7N38QbUsq5b5LBzVQikTAm0kOYeQIG1zwwTDK8c3wEOzIq2ZtdLeg+vJyUQq3xeGE9ml4OTVPaSCmps8wwuDsoBI8SEzKphLn9/fnjcFG3M0xc7W1YPDuOy4cEIpFIKG9QsexIMT/tz+9xMm6gmx1z+/uhkElpVGnIrmo+LVv1f4KyBhUxPk5C6tvE6Ne3MDTEjd/vHsWoCE9eX5fWp6ChtF7F3T8cZkqsNy/OTyDQzTCP47WF/bhiqKEUk9JDxqorzOcGgaGNMPyZtTwxI0Y4t/5NpJY28MuBAlYcLRbEuVIJTIzx5qphQUyO9T4rrbLm7M+pFnxfzDHdSMFgmf7fnTl8sCXTKmM4I8GHp2fFEerpQFZFI/f/lCKsbgNc7Xhubhzjo734YHMW/92ZI0ykHR3hQU5VszAUcWS4O0sXJBLp7YRGq/tHR94/Ni0agGu+sPy9v7hxKJNjvfnpQAFv/Z3eKyElwNIFiVw/MoQDuTVEPLO2R5F2oJsdjko5CrmUtnYd2zMqha6f7pBIYHKMNzeNDuX5ufE8OTOW5UeKeWFVktX/Y+Ene9j55GRcehDdg2GBZyq1mGcfy7vIvvY0dyrY3b5HrZqrvQ2DglwBQyeLXm/Q9ZwoqkPVriPUw544Pych6zw20hMPRyUH82osMn2m4GOHWWfTVzcP6/F3NLH2ZBlqrY44P+duB5T+mxCDjy54dk6cEHycyrDqeGEd5Q0qoa44JtLTIvioa2kX9Aimdez+3BpB97FoRgxP/HECMBhy9daOXCmTWrVrxvo68VOnG+mQYDdsbaR8uKVrr4oJ0V68c+UAPByVHM6v4c316b2eIVFU22plQx3p7YiDQkZNi/q0hsydTUyBR+dSzKH8WsKeXssfd4/itYX9WDDQv8+zXTanVbAnu5qHpkZx29gwbGRSBge7ser+MfywL58lq611N93x/+yddXQU5/vF73rc3d09IUSAEAjuVgpF20JxKC0UK6VQ5As1WlqoQg2XUtzdQpCEuBN3183K74/Zneysb7DSXz7n9JyyO8luktmZ533e+9yr6Bq/7VwGtp3LkLsP/m+jqZ2HE4kl2B9fQPld2xppY2IPe4wPtaNsKT4vnhTVY8SOmzKPbxrjj8k9HQAAPL4Ahx8QAkvpmABfGwOsGeaDSFdT1Ld04NMTKfj9zlPwBUKwGXS8F+OCeX3dcDO7CgO+vE52QcIcjcFm0skUW1NdwslUnC76pKgey48kKd067Sp6HCZ+nBYq407a38sCP08Pw8MCYptQ2pRPEUsHeGBBrBtOJ5fCacUppcdqsxiwMOCgrL5NZlEmhs2gw9taH2Z6HDRzeahobEdlQzsa23m4lF6BS+kVcDHXxcJ+bpjc0wH2JtqY/fsDihlhQxsPhx8U4Z1ezuRjb/V0kKuVEZsxtkt8vfTWb2MbtQCTdK8GgKfVyj/7/TwtyO6EWO/R290MJxIJ8ecIUYH7j8ikbFQQ8e9zEk7J/raGcDQlOn0zdseTj4c5qafd6EywtVHr+H873cWHHCSnTNTRR1xMK8dbPR0BdI5WibmcXoG+nhbYF1+AyqZ26LIZqG/tQHpZI3xsDDDU35osPgDgwdNaeFnpqyxCals6yBNZDJtJl0lljHQ1RXpZI2l0JImdsTa+nRwMAy0WDiUUUt6HJGLhrTpIb+uY6bFlhF0vm8Sierl2y2JXy+yNQ3B6cW/suJyNXddy1PYhae3gY8uZdBx7WIxNY/0Q6kgIzGZEO2OovzU2nk7D8cfKHRPVQSyc/WdB9DMHpj1PhEIhHhfWYX98IU4klZCmfCwGDQN8LPFmDwdEu5mRXjjPk+yKRsR9eV3m8VVDvTCrtwtoNBqEQiHOp5Zj69l0mQ6euT4HywZ5YlyIHYRCIf68+xRfnM8gJyLivC2xZpg3aDRgwd6HZJFha6QNXxsDxOfXkNeGSeEO+GiwJ4x02Ghu5+GL85n49dazTUMpYsfkYBx+UCRTeFxb1he6HCaWHU6Su50kj7d6OmDtCB8cTCiCy6rTan1Nawdf7rVEEi5fIKO78rUxwJI4D9zKrsLhB0XIrWzG+wcSUVLXhvmxbvjz3Z6Y9ss9ih5mw8lUvB3tRAr6p0Y6yi0+xOedZOdDujBKLqYWYtKDJbdyqH4u0sT5EFt2QqEQN0Vdi0B7I1IfODzABiklDcitbAaHScdAXyvy/BMj7np08AVk9zxG5FKtisKaFsTn14BGA0YGvv5bLkB38aGQof5W5OSKvPa9JOdTOosPC30teFjqkQmwpfVtMNElWoc3sioR5mSCa5mVuJNbDR8bAxmznQdPaxHtZqay+CioaSEFTmLktUkjXU1xVk5OCYNOw/Y3g6HLZmLT6TT8eD2X8vyIQBtkVzQhrbRB7cJDHq+68BAjLjzCnUxkBIZuq8/gu8kh+HCQJ4YFWGPFkSSZi6cyMsobMW7nHUwKt8dHg71gpMOGhYEWtr8ZjIlh9lhzPJn0jXkWRu4gTKJur+j3QroI6lLV1C7qchRSPhcuZrp4M9weY0PsnkvWijwKa1rQe+sVmccX9nPD0gEe5I0qPq8GW86kydh002jAglg3zIlxhS6Hids5VVh/IpX8vLlb6GHtCB+EOZpg59VsitC0j7s5yhvbyBuKl5U+No4hik4AuJhajmWHE19I4muspznGh9pj/l6qoPSjwV6Y1duZKJ4uZKqlvwp1NMa+WRE4/rj4pWU+pZQ0YNbvCQCAXVNCkFhUj51Xc7DtXAa4PAGWxLljZrQzdlyhOowmFdUjULTdIbYjl8ZEl43iulZK8XFfqnv7pLiO8m/JY13NdUlvJXkw6TQyyoK0VGfSUdfaAS5fAA9LPXha6WPTaWJ7rb+3BfQ4TKSVNlBEreIpF8lr7bYJAQpfVxJxRyXK1fQ/45LcXXwoYN0IX7L4qG5WLkq8k1ONpnYe6YAa7WZGiZ+va+kAm0FHYU0rIpyJguFubjWlpSjmYUEttr8ZTM7O62sx5V5Qssoboc2mbrvIG80NsjfCOjkq9Xd7OyPU0Rg/Xs+hfBgG+lhCj8Ok+I/8l4jPr4GpLhu1LVzKdsf8vQ8xfy+QvmEwjs6Lxp7b+fj8XIZGuTT74gtxPqWc0n6PcjPDmcW98fONPHx+PkNt0Z8yorZchp2xNk4t6q1yT/x5UVzXinPJZTibUoaE/Bryd8dh0jHM3xpvhjugh5PxCzNNq2hoQ9/Pr1IiDwBiNH7dCF9SnJte1oCtZzPkijtHBdlg+WAv2Bppo6C6BR8cTCSnngy1WVg6wAOTezrgcnoF4r68Rm6xhDoaw0SXjSvpFaTWY+kAD8yIdgKLQUd5QxvW/ZPyTGGEytg7qyfe2ZNA6koAYuT//uo4ZJY3YsSOW2pv7zz8eAAeFxJGdy8Ka0Mt8AVChWLuOX8+xNvRzvhosBf+dzYd2y9lwVCbhXd6OePXW3mUv/GBhEKy+FB0bokfZjM6n5fedrmjpLMR6misVNsW7WZGXtvFWy7hTia4KCpChwfYQCAQkrkwYo2RpLFYkL0R7IwJ23lJUzkLfdWFhFAoxFGRXm9U0H+j6wF0Fx8KkfQaqGriUiZcpOHyBbiWUUlWtrGeFth9K598/mpGJXq6mOBGVhV5M7uXW03as9ubaJP6iKLaVkr0s6KVTEl9GyVpFwB4fNk3WNXULreLMibYFtVN7ZQI+Ylh9jj8sEhji+XXDfHIXQ8nY9zPpyr5vT4+i/WjfPFOL2cM9LHE6r+TKZk96nzvpQcTcSihCJ+N8YOruR44TAbmx7phZKANPj2RQrEOVxcWg0YR5RXVtiLw0/MIdzbBH++Ey5wLz4PsiiacSynD2eQyUt0vJsDOEOND7TAq0JaSi/S8qWhow9Bvbsh00EYH2eDzCYHkPnxRbQu+upAlV1Tdw8kYK4d6I8TBGM3tPGw7l46fbuSBK3InndLTAUviPFDX2oF3f0vANdHf28ZQC1FuZriTU01OJgz0scQnI31ha6QNvkCI3+/kY+1x9UdQNWFmtBNsjbRltlj2zOyBMCcTbDuXgd/u5KtV0B6eEwk6nYaQDReey3tzMdPF5J4OCHE0ho+1gdwxaaFQiNL6NiQV1eOnG53utQAxOTYi0AbLBnli27kMfHM5CxN72GNqpCOZyQIAe+8VYNMYf6XvpVp0bohv7pJMCLUDAErhJo2qSRPxlgtAdLkBwM/WED/fIN7n8ABrJDytRWk9ET7aVzRiKynAFW+51EiM+y6Jc1f6umJSShqQI9rOGez33zEk7C4+lLAg1o1sA/raGMjdNxR/8C+klpHFR5SrKUx12eRNrriulTSEqWhshx6HiYY2HtJKG+Bna4jPRvtj+q+dAqSHahpXSYuopLUKLAYNxXJEYfYm2vC01KfM7Q/zt34mx9PXEXHhYaHPoazS1h5PwdrjKXiybiB+m9kDxx+XYP3JVMqFQxLpaRUAuJNbjSFf38Ccvq6Y15eISbc30cHP03vgQmo51v2jfu4MALLwEJvWiYnPq4HnmrMYHWSDL98IeqbxXKFQiOTiBpxNKcW5lHKKRoZGA3o4mWCwrxUG+lrKvdA/T/KqmjHgy2sy53Q/LwvsmhJKiq1rm7n47ko29tzOlznWw1IPywd5ob+3BYRC4MiDIvzvbDr5t452M8Xa4b6wN9HGd1ey8dP1PCJ5lkHH8ABrVDa1k/oJWyNtrBvpiwGiG1FaaQNWHn2itF3/LByYHSEzvdPX0xy7Z/TA5fQKDPzymoypnjw+HOiBYQE2GPHtTbXTnhUxP9YVE0LVH4+m0WiwMdKGjZE2BvtZ4XJ6OZbsf0xOQJ1ILIG7hQecTHWQX92C/fcL8WYPB0rxARCCYWUFQlUT8fe0NyEWbQ0S18U3etjLpNlKo+p6G+dNFBMlda24m0d0UMThmL42BnAx18MvN4lx20F+hF9NgShKQ4xYMP7RkU5dnbqTbGJvjzgfy/+UB1B38aGExXHuZPEhXXgAAIveqZi+lF6BDr4ALAYdTNHF67c7naFv4hvGo4JaBNkb4X5+Le7mVsPP1hB9pOLWHxbUwsfaQOXIZqXUapAnoG676HKYqJOj1xjoY4Wn1S2kWArAS81m+bdR0dguVwviv+48FvZzwwcDPdHHwxyfnUylbEeJiw6BkPh/Oo2a1svlC/DNpSz887gYn432Ry/R33mAjyV6uZlh17UcfHclW6OgPfF5ZKLLphRDfz8uwd+PSzC3ryuWa5AZwxcQfgNnk8twLqWMch6wGDREu5lhkK8V4rwt1Y77fhaSiupIbYsk4c4m+P3tcHKF3cLlYfetfOy6moNGqZuqtaEWlg7wwNgQOzDoNDwsqMWnJ1LJMXAHEx2sGeaNAT6WOJNchpm748kbeS83MziY6uDvR8Vo4fLBpNPwTm9nLO7vDh02E20dfHxzKQvfX1XuCdFVPhjgAb5QKFN4XPogBvpaTCzY90huirU01oZaOLWoNz44+Bifn8/s8vuZGuGImdFOcHkOVvf9vCxxe2V/RGy6RBZCX17IxJph3vjsVBp+vpGLt3o6QIfNoGy9VDa1KwzjBDr1G/aigvi0xO8n1MEYt3IUB/axGDSl+jpfGwPytY8/LoFQSFjqPywgCpbhATbo4AtwWmR5Lt5yOfSgcyEX5mhMarQkPT/UGTfnC4Sk3mPMf2jLBeguPpQifXJIj2dx+QLyBtTYxkN8Xg2ZYjgyyJZSfKSWEuFyeVXN5LbG9awqvCtS5kvy4GktFse5k9bbCpHqtza0Ui/CLAZdrli0t7sZZU98kK+lyhl9SQy1WTDVZZOpt83tPBTWtKK8se25aBpeBeLCQ3oq5tvL2fj2cjYS1sThy4lBGBVsi1VHn6C4rhUCIXHx4guEoiKEGM/kC4WUrav86hZM+eUeRgXZYPUwb1joa0GbTSTmjg+1w6bTaRrrBcSFh+SWHQDsvJqDnVdzsH6UL6aJElql4fIEuJ1ThXMpZbiQWk7Z0tBmMdDX0xyD/awQ62Xx0lZaN7IqMfWXeJnHB/hY4ttJwWTRweMLcDChCF9fzJTRFBhqszA/1hXTIp2gxWKgrL4N/zubTq4cddkMLOzvjpnRTiisacXUX+JJK2xbI20MD7TGtYxK8rEwR2N8NsYPXlaEIeCt7Cp8dCRJ4Yjps3JoTqRMEvXUCEesH+WLA/cLsel0mlqhhteXxeJSevkzbbHsmxWBCBcTmWuTeCulsrEdrR18tHbw0cblw1CHBV9rQ5VbcHocJk4s7IXYz6+Sjz14WgtLAw5K69twNaMC7pb6FL+g0vo2pcUHQGiPxMXxQYkOLp1OQ5IS8XgPJxPcVqIHGSAx5XLsEdEF6+Vmhq8uEgXd8ABr3MyuQm1LB8z02IhyNRWdo53vQbzlkiRhcrZbTW+P2zlVqGxsh7EOixS9/lfoLj5U8P1bIeSoo52xtowXhKF2Z5LtmeRSsvgIcTCiGJQ9rW5BhIsJ8qqawaQTRc2t7CrUNHNhosvGu72c8bNIZPqwoE6tEayqJi7lNSSV1QBxoW6QU3yY63OwV2JkTVHhoctmkKNvprpsjAi0waggG7Rw+TiZVIL7+bUahbW9DmRXNCHW01xmjzjss4t4I8wOW8cH4vz7ffDlhUzsvpWHDj6h29Fi0tDWIQCXT0xG6HCYMivy449LcDm9Ah8N9sLkcAfQRRbUO6eE4nZ2FdadSKEIldVBXHg4mupQRiDFW0dfvhGIsSF2KKtvw728alwR+SxIaokMtJiI87HEYF8r9HY3hzb7+etHFHH8cTEW738s8/iUCAesG+FLttsFAiHOpZRh27kMmc8gm0HHO72dMSfGFYbaLLRy+fhW1J0Qd4omhNph2WBP6LCZ+PJ8Jn65mQeeQAg2k46JYfZobOsg2/1GOiysHOKFCaH2oNNpqGnmYuOpNIUmfc/KuhE+KKptlSk8bq/oh7YOPt788a5a3jsfD/dBDydj9NkmOw2kDtFuptgyNgD2Jp1bak3tPNzNqUZSUR2SiuvxpKhexqZcElsjbQQ5GGF2bxdSKCqNs5kuJSzuTHIZhvhZ4UxyGVJLGuAlVXyUqbG9ZGesTRZK0hNOx5SI5010FYd3AsTINQCklTYis7wJbPH5KCREpPYmOvjqAlGIDPW3BpNBx8XUcoqfzBDRlsvbEs67sWom2Irf+/AAGxlfp9ed7uJDBUMkBD7yTKgkVwZHHxZjzTAfaLEYoNFoGBVkg++udLZnW0UOevnVzeS2ytnkMkzu6YD3B3iQxQcAMq5ZGTeyKuFjbaBwJVbb0iG382GgxaLMnytCXHgM9LHE/8YF4I+7T2UCq/6LXMmoBINOg7e1PmW77WBCEQ4mFOHOyn74eLgPRgba4KMjSUgvawRfNAXBFwrB5QnQwSdSLsWJl2Ia23hY83cyDj8owqYx/vCxIVbVUW5mOL2ot0Yjk5I8rW4BjUZc/CXPh6UHE7H0YKLM8eb6HAz0scRgPytEuJg+d8dRZQiFQvx6Kx8bTsoasb0f54GF/dxI7YpQKMTFtAp8dSFT7jbkmz3ssTjOHdaG2hAIhDj8oAifn8sgpx1CHY3xyQgf+Nsa4kRSKTaeSiVvDH09zeFppY8D9wtJz47xoXZYOcQLpnoccrW75ljyC8lj0WUzsOftcJmiY36sK96P88CPN3Lx9cUstTKV7q7sj+m/xsv9napiQawb5vZ1Jcf+61s7cCmtHKeflOF6VqXM6zPpNFjoc6DNZkCHzYQWi45SkelYcR3x36mkUgwLsMaygZ5yNSLSwkmxI2lmeRN6SAWmiZ+rVzLCLFkwiYn1NIdQKFQaKSFtuS6JtaEWfEWfz78fE0VAf28LXBdNvAwPsEZbB5+cahEbi+2/37mw6+lsAksDLQiFQrLDKJkRo4wWLo80KXvdE2zl0V18qIBGo1FWlZLdAIBof4vHYVu4RJbFmGBCYT0qyJZSfFQ3tUOHzUBFYzsiXEyRWtqAE4klmNzTQcbv42xyGcUvRB4PC+qwsJ+b0kJC3k1MkxC0uX1d8U4vZ8zYHa/U+0KPw3xmQdu/Cb6AEF/297IgDabERG6+jOEB1tgxOQQnFvbCj9dzsf1SFlo7+GDQadBhE6LQ+tYOcJh0WBpwUNPMpUyrPC6sw4gdN/F2tBOWxHlAl8MkDcpGBNrg8/OZGmfFCIWy5krSuFvoYcs4fwTbG7/07BiBQIit5zKw65qsXmLzWH+82cOeLOaFQiGuZFTgqwtZMpM2AFEQLx/sSeZ/3M6pwsZTaaSrp62RNpYP9sTIQBuklTZSQtUcTHQwOtgW1zIqyG6Hl5U+1o/yQ7joxldQ3YLVfz8hLdafN9vGB+BhQa1M4XF/dRzqW7kYt+uOWlEF+2ZF4FFhLSI2X9L4PSzu7465IjE0T6RbOJhQiFvZVTJ255LwBEKK2NVMj4MhflZwNNWBs5kuTj0pxbFHxTiVVIor6RXYPztCxhyPxaBjeqQjuTUt7lZkljeS2igx4kmurArF2gyx3kOyUJoQZi9XqydGlZljnLclaDRiW/W4qPjo6WyCdSdSQaMR3YhLaRVo5vJha6SNEAdjlNW3Uba0xVsuB+53bsN8NzlE4WtKciG1HM1cPhxMdBDiYKTW17xOdBcfavDd5BAM/5awcJb3kTTX45A3+f3xhWTx4WGpTznBi2pbyUKGKbrw382rRkVDGywMtCg38DPJZdgw2g+LFERJi1HlHtkm5VNBowGl9ertWfdwMsbEMHtEbr5EuRhFuJggztsSLVw+LqSWI7ey6T9VeEgiLjyC7I0okw0nk0pxMukUbq3oh/mxbhjiZ4WVR5/gXl4NWrh8cJh00Gk0tHbwUd7QDnN9Dug0UNqxfIEQP93Iw8mkUqwb6YtBvsRq0FSPg81j/fFWTwes+ydFZbCXJmRVNGHczjv4852eMhf5F0UHX4CPDifJ9Y75YWoo+XMDRNFxLbMSX13Mknvz7eFkjBVDvEhjr+yKJmw+nUb+nfQ5TMzv54YZUU5o5fLx8fFk7L1XAIEQ0GLRMSncAQ2tPHx7OQtCIVE0Lx3ggWmRjmAy6ODxBfjlZh42n0mXee3ngakuGz9PD5PpIK4YQjiz/nwjF19cyFTZ7SBC7nzkuryq4t1ezvhwkCe0WAxUNbXj5xu5+OteASWMTROqmtrxx91OfdvHw30wLdIJG06m4sHTWry95z6Ozo2Ggym1OzEmxI6iiwOIrrD0tcRIpCO5pmTk3dWc6K6IOxQA0aX4QonY1sfaQHnxIdJ73M2tRnlDO6FvEy08eziawMpQC/8kEq83ItAGNBoNhxIKyck3Bp2GwX5E8bHi6BPy+8rr0shDPGk1WuQZ9F+ju/hQAz/bzjaZtMkRAMpEyb28GuRWNpHq8FFBtkg/23khExcd9/JqyBvaqSelmBntjP2zI8gip761A2Yq9iPFxylDusuhzWKo5eNBpwGfjPDF/L0PKYXHT9PCcCG1DFvOpGs0pfG687iwTm4XJHrLZQzzt8Z3b4Vg36wIHEgghIGNbTzQaYQmqIXLQ2VjO9gMOlzMdcmcCzGl9W14748HiPO2xKejCA8JgDjvDr4XiR9v5GLLM9wMjXRYMNFhU7YNp/xCeEf88U44eru/GCFbdVM73vktQe446sH3IskuAyCyrc6uwlcXMmX27AGiY/PRYGJslkajoaqpHdsvZmFvfAHplzOlpwMW9XeHoTYLe+ML8MX5TPLzMdTfCm7mevjj7lNSozUm2BYrh3iRnj5JRXVYceSJxsGA6rJtfACyKppkCo/EtQNR1dyO8btuq6WhuvphX3xzKUvjwmNciB02jPaFDpuJ5OJ6/HqTKHy5aoZZijHWYUGLxYA2i4HS+jYZI74NJ1NhpsfGgfcisXDvI6SWNmDGnnicXtSb4gfiI5XsLRbvS4fCGYmM9JT544SLzBslPyccJkPGuVmSBwWKi3pdNgMRLsT5KdZdDAuwxnnRFsvwQGs0tHWQ2rCRgYTRmKRdwSBfYkKshdv5WZ8e6ajwNSXJqWzCjawq0GjA+BA7tb7mdaO7+FCT0UE2+FuU0yE99VLTzIWRDovcNz6YUIQVQ7wAACMCrfE/ieKDLxBCX4uJ4rpWeIs+fCeTiOJDssgBoJYuo0TFiGw7j3phaOHy0arG/vUQP2vkVjWTbWwaDTgwOxLrT6YobWX+l7mUXgE2g44AO0NKN+LUk1KcWnEKNz+KxaRwB/TzssDqY09wMa0C9a0d0Ocwoa9FR00zF7mVzbAy0IKNkbaMZf/FtHJcTCuHjaEWot3MkFvVjMzyRrX0H2wmXeFqua6lA3UtHbAy0IK+FhNZEnvg4gmTPTN7kOZIz8qDpzUYt/OO3OfOLekjk8h5O4coOqQN3wBCnLi4vztGBNqAQaehrYOPX2/l4fsrOeQKOc7bEiuHesHVXA93cqrx6YkUckXrZaWP8aF2OJlUSjoWe1jqYf0oPzKe4EXnsRhqs/DXuz3JhYWYNcO8MTPaGb/eJNxvVW2HzurtjDhvS/SVmBRRBxczXRyeGwUTXTaSi+vx9cUsXExTb7rtzR726O9tCQ9LPdgZ68jttLZ18PGwoBb74wvJsdCqJi7e2HUH+2ZHYPJP95Bb2YzTT0oxVuJGKi2gVLSWEU/QKHJxNdRmwUt0TomnwNws9FBUqzyDRllGTayXBThMBlq5fJwRjdGGORpj770C0GnE9fFcchm4PAHcLfTgba2PG1lVlG3PKRFEobFeImRy5VBvpe9JzG+38wEA/b0sZTpG/xW6iw81+XSkH1l8yFsp8CW6A4cfFOGDgR5gMeiwM9ahOGnmi6Ze7ubWoIXLA41GjJoV1bbIGDedSS5FqKMxxRlQmnMp5Ur3LtvlxERLWw/LI9zZhLLl88WEQCza90jma7VYdHCYjGfKf3md4PIFSHhaizHBtjIq+l7/u4IhflbYOSUUP00Lwz+JJVj3TwpqWzpA5xICttoWLsoa2pT+DUrq23BIIhyMQafByVQHHpb60OMwcSm9QsbwjMsTwMZQC9XNXIU3MeJ1iRu6kQ6LssqesZtQ4v86Iwz9vCzlfr0yBAIhfrmZh42nZePjLQ04ODYvWiaP5l5uNb66mIm7ubKTHPYm2ljUzx1jgm3BZNAhEAjx96NibDuXQXqR+NkaYPVQIpG2qLYF8/96iFOiG4WRDguzerugqLYVG0+nQSgkVrPvD/DA9CgnUmB7Ob0cq48ld3nLQRWbx/qjtoUrU3g8WBOH+tYOvPHDHaWfbzFXP+yL9w8+xk83NCuQxMVeSkk9PjqSRPGZUMSHAz0Q5mSCysZ2nE0pw6pjT1ApNdbsZaWPKRGOGOxnBTM9DqJczRDlaoZJ4Q6Y9BPhUVLdzMVHR5IwPdIRX1zIxG93nlKKD0XQQC1wJIM+5RHubAI6nUZJpt0wyo+0P5dHiIOR3A6bmDfC7AEAF9II3YWdsTZ5jkS6msJcn0MWWiNFWy6SQlNXc11Eiorb/RJ6D3lOsNI0tHWQWy4zo51UHv+60l18qImq+XXJNnpVUzsup1eQe9kjg2wpqzpxTsDDglrSOfVUUinei3HFJyN88KmoUi5vaMeHAz1VXpxM9RR/OOVlk6gzusaUyEmI9TTH/fwayg3TWIcFNws9PCyoQ1vH/4/CQ5Jjj4rhaKoDa0Mtys3zTHIZnFacwvRIR2ixGAiwM8K1zEoIhOjSDS7U0Ri7poTKGHzdyq7ChpOplKKzpL4N2iyG3ARfScTJx742BjDRZVNElW/vIcK/pLUYimhs68CCvY/k7sePDbbFprH+MhfchPwafHUxE7eyZSe6bAy1sLC/O8aH2pEFwr3camw6nUYKnq0NtbB8sCdGBdqCyxfg64uZ2Hk1B+08wndnck8HOJjoYNe1XLJIGxlIeKxYirZYKhrb8OmJVLUMu7oCm0nHiQW9MOhr6tbIvL6u+HCgJ367k4//nU1Hm5zFgSRzYlwR5miscbdjx+RgDPO3Rk5lM2b/nqCyizrAxxI9nIzx170CtUzJ0ssasebvZKz5OxlmemwcX9ALtkbaiHQ1xaUPYtD/i2sAgEcFdZga4Qg2g47EwjokFtZRRnClDcUA2WuWoTYLQiUGQmL36M9OdRa+ka6mWLxfsV6uoEZxx9jWSBu9RJYJ4hj70UG2ZHbLiAAbVDa245bID2ZEoA2qmtpJ63WA8Geh0WiUlPGvJwYpfE1JDiUUoYXLh4elHqKkUtL/S3QXHxqwd1ZPmZwFRRy4X0hevIf5W+PTf1JIjURuVTNczHWRW9kMhkhIdCKpBO/FuGJKhCNZfABAdqVq3wctJbket3OqocWiUy5y0nuq0pjpcSgFSqijMb640HlB0uMwYazLltsmtzXShpOZDhh0OmgAMsoa1eq0vI48rW5R2LqVFtKpgs2kw9ZIm3KxAoiu2JDt17FmmA9GBdmQwrNoNzOcWtQb++8T2gbxTba1g4/siiaY6rJhrs9RKqgTb6n52xrCTI9N8TYRG9xtHR9ArgIlSS1pwIgdN+Xqh7aOD8CEUDsZkVx8Xg2+vZwld4LE0oCDBbFueKOHPTndkF3RhK1n08kbpy6bgXmxbninlzM4TDrOJJdh46k0shPS09kEE8LssffeU/x5l1iFulnoYf0oX0S5EjcTgUCIgwmFWHciReWNv6usH+ULJp0uU3jcWtEPDBoN03fHqzVFc21ZX8zf+1DudJAixoXYYfNYfzS38/DpiVT8cfepUo3X5J4OOJtMmM2p0xWRR1UTF9FbLpPGdq7mevhxaihmi86h3bfyEetljnMp5biXV00pPuTVFAU11M+ALpuhVIcj3j6TfP8NbR0Kg+2I96z4ufGhdqDTaahuaieLamczXaSXNYItylf5SyRiDrI3gpOZLn64lkNe33XYDIwVZcq890cC+X3Fo7jK4AuE5JbLjCjn/6TQVEx38aEB4guYOlzNqEBpfSusDbVhostGb3cz8uKeW9mMvp7myK0klN0MOg3JxQ3Iq2qGs9RM/InHJSq3XlSNV5rosCmjcapGLM302PhTQr2eWFRPuUj42BiQY4sA0QVZOtAT/bwsSLGkJOIZ98zyRlzPqpTJbvivs2yQJ3xtDMBm0LHrei4ZVGeqy4aZHgeZFY3g8gSob+1AHw9zJBXVkfohgLi4LznwGIceFGL9KCKsDiC2Y97q6YgRgTbYcTkbv4qMswCi5V3dzIWtkTYMtVlKL97iUdYAO0NYGmhRLuLLDydh+eEkrBzihdl9XLD/fiFWSij3xXCYdBxfEE26gYoRCoW4mlGJ765ky53aMdPjYF5fV0zu6UB2SMrq27D9UiYO3C8kresnhRPhb0RB1YBP/0nFHZEXjrhbklbagOWHEyEQEjeAJXHumBHlTGoLsiuasOrYE8q5qwplWhp5XPogBoO+uk4RY08Kt8fmsQE4lVSKVceeqNyinNfXFVGuZojZdlXt1wWAmx/FwtJAC3/ceYrtl7KUvo63tQHSShsoZoPPytrjKWAz6Hgz3AEDfCyhLzLae1JcT4ZlShfX0l0ODpOOLCl7ARqNhu9EMRfS6Gsx4W1tQPkbLRvkiatKguSkDfmkmRBGFA4nk0rBFwgRYGdIdjmGB1hDj8Mkr4/TIh0hFAopo7Sjg21hoEV0a8RWCZImaMq4kl6BgpoWGGqzMDpYdbHyOtNdfGjIxDB7tQLYBELgcEIRFvYnkgtHBdlSVpYt7XzQaUBOZTP5YTiZWIKF/d2xeaw/eYEvqW/D2hG+ePBUsdV6Rnkjwp1NFF5UO6RWPgwVHwIOi0FOBFgZaCFBIvOEzaRTXmd4gDU2jvZXui1Fo9Fgrs+BuT4H0W5mWDnEG2X1bbiUXo6P/05WKDR7HZkR5YQ9opWLmG3nMjAlwgGfjfZHlJsZrmVWYuWRJJTUt6G6mQsvK33Ut3agtL4N1zMrEWRvBB1rhozt861sUVhdjAvmxbqRN2sDLRZWDfXG5HAHbDqdRmmxi02fPCz1wKDT5Yr2OEw6+AKhyIa6HoF2hnC10MPRh52als1n0uWOn8Z5W+DrN4PJrUQxfIEQp5+U4vurOXJf01iHhTkxrpga6QgdtsjcqqUDO6/lYPetPFK3MsDHEssHecLdUh9VTe1YefQJDtwnVp0cJh3vxbjCXJ+DL85nkCZOwwOssXqYN2nJzeUJsOtaDr68oHo7QRLpjqEylg/2hK+NIbndIObi0hhYGHCw9OBjyu9TETeWx+KDQ4kaZcdsHReACWF2uJpRiWm/xiNXSTy8GEXiTXWh0QBHEx0ZI8MVR58gzMkEbhZ6WBznTm6F1IrC3VS9N2MdNqVTOljUPRaLhaXp4WQCBp1GJswCwLu9nTH1Z1mrfjFVSjoivd3NSO2dWNPVx92cnJqZFumEC6nlKK1vg6kuG8MCrBGfV0OdJOtJCE33Svj0qGunLr52vNnDnvxc/Ff5b/90L4BPR/mqnf56IKEQ82MJt8YBPpaUi9mjwlp4WxsgpaSBrNpPJBHFx5s97CmrS3VG/6Qv/pJ0SAlks5ToAYDOcWAA0OUwKBcDyRVGuLMJvnwjiKJa5wuIkcnrmZW4lV2F8oY2spDR5zDhbqkHJzNd+NoYopebGXI2DUVWRRN+v5NPtspfZ/bczkectyVK61vJbQ0A+PNuAf68W4CHHw9AjIc5zr3fB/87m44/7xYgvawRprpsBNobIa2kAY8L66DLZmCInxXSShuQL7FK4/IF+OZyNv5+XIL1o3wpEypOZrr4cVoYbmdXYb2UHiSzvAl0GrHF0sEXUJ4T3+jN9NhoaOMhsaheqaGcmPQNg2X0HFyeAMceFWHXtVyZVS5A7N/P7uOC6VFO5Dnb1sHH73fy8d2VHPJGFuZI+HmEOZmgncfHrms52HE5m5xwGeZvjdHBtvjxeg65/edqrov1o/zIiAOA0JesPPpE5TkviYEWkTqtbuFx4f0+WH0sGVvPZpCPiRNo7+fXYvqv8SqDG4cFWGNWbxf03qq+Nbq5PgeXPohBSzsfc/98iLMpmuUDPQtCISGe12LREWhnSDlfxn5/C0nrBmGovzVZfIjdneWdE8oYHWwLgZLViVjvIVkY02k0mZBISZS51Yq3GPOqmvG4sA4MOg0tXD64fAEC7AwRZG+EzSJR9aRwB3CYDIqgNMzRmHQtXn0smXzc3ZI64SWPrPJG3MyuAp0GTFVzJPd1prv40BB11MpiimpbcTunGr3czaDLYWKQrxWOiyZmOvhCciujqY0HJp2GzPImZJQ1yowiHkooRG93M6X7xMr2MOukbIlTSpTfWCTFXflK2pM7JgdTCo8nRfVYdeyJXEdKgBDlPiyow8OCOsoqcEywLYYHWGPlEG8ce1SMNX8ny/361wXxGOPsPi4yPgMhGy5gUX93LB3ggc9G+2N4AGHR/rS6BdXNXPjbGqKFy0NOZTPOJJfBz9YAQ/2tcCG1nOK3UlDTghm772OovxXWDveFlaEW+VyUSA9yMKEQn5/LILM4BEJii0WXzUCUqykqGtspwtQqqZRkVXh9fBZeVvrYPzsCbCYd++IL8dP1XLkaHyMdFt6OdsaMaCcyrI4vEOLIwyJ8dSGTFON6WOph+SDCzwMATj8pxeYzaWSGjb+tId4f4I4bWVWY8+cD0tZ+UX93vNOrc4ulvrUDW8+m4y8NtxXM9DhKP0uSzIhywls9HTDgK6q24+B7kQiyNyLdXFWFLZ5c2Au/3srD6O9k03wVcWB2BMKcTPDHnXx8fj7zlZn8tXUIkF3RRHF+bmgjfG2sJc5JsWGcpp4iQfZGSnNtpD1q+nlZKI2msDHUomxBS0KjAQN9iUkvcdcjytWUtE+fGuGI9LIG3MurIbY8IxxQ39JBClGBzqIhWeIauGqol7IfkWS3qOsx0MdKZvLxv0h38dEFjsyNwrid6mWc7L9fQDpJTo1wJIsPgIiK1hPti+qyGeBx+Tj6sAgrh3rj4tI+pIlQaX0bNozyU1p8KEtulKaDLwSHSVc4kinpwkmnAfLWCaODbGCh33lxOfqwSG6GiDoce1RMftjfjnbGqUW9kFPZrNLd9d/Oj9dz8W4vZ1zJqECORLv5m0tZ+OZSFp6sG4gIF1OcXdwHX17IwC838/CkuB6mukQ6ZmJhHZKLG5BR1ojBftYoqm2RMaE6/aQM1zIq8f4AD8yIciKD2Bh0GiaFO2BYgDW+u5KN3TfzyQt/M5eP2znVsDTgYJCvJVJKGtRKag12MMKIABt8diqV3CpLL2tE0HrF6anm+hzM7u1CiRAQ57VsPZtOdiRsDLXw/gAPjA2xA4NOw5Oiemw4mUquYC0NOFg2yAs0AMsPPyELhKH+VlgzzIcc4xUKhTibXIaPj6eoXUQAnd0Odb/m6LwoXEgtpxQeBlpMPPh4AJ5Wt2DM97conS9Fr3lyYW+NguAC7Y1wYHYEciqbMPb7W2p1qDQhxsMcwwKs4WWlDwMtFnQ5TPAFQuRVNSOttAFfnM+Q6Rw0c/nQ16LeSn66kYtVcjwttCUWb7VyAur4UpWapQEHC/Y+lPteXcx14W2tj0sSniWfjPDB9F8Vb7koE7/PiHICh8lAB1+Ag6JuhqE2C8V1rTDSYWFEoA05DDDI1xLWhtrYc6tTZ2WqyyYzayRHq9/t5aLwNcXUt3TgqCi4cMZ/eLxWku7iowuEOhqrfezZ5DIyuTbU0Ri+NgbkRamysR22RtpoaueBLtJhHEgoxPsDPMjMCjGXMxS7+4mxNdJW2d4Vo8ViKCw+JL+HolWb5AREQn4NPjzUtcJDml9v5eHXW3nwstLH72+Ho4XLx5w/Fetd/u38fDMPRjoszO3rip1S+/j+685j3QgfzIh2xuphPhjib43lh5OQXdGE2znVCLI3glAoRGJRPU4klsDNQg+Twu1xJrmM0s1q5vLx2ak0HHlYjM9G+1HOTwMtFlYO8cZb4Y7Yei4dJyVGS8sb2hUmGouxNdKGvhYTeVXNeFRQh0cFdQh2MEJ/LwulI5m2RtqYE+OCCWH2lG7h/fwa/O9MOik+NdRmYUGsG6aKRpPLG9qw9WwGjj4qglBkiT67jytiPc2x+XQ6WYy4mOli3UhfSsx4SV0r1h5PUdtAS/K9qvu5GeBjic9G+6HnJmqWyqYx/pgUbo9DD4rwyfEUuSPukvw6Iwyl9W0aFR77Z0cgyN4IX13MxM838tRyKlaHjWP8MMTPWmnCq5WhFiJdTTEz2gknkkplFgbSRng/XieKD2ndjOS5IK9DKuknos9hgkajKYwXGBFATH+981vnRImBFktpt1bZr2xiD+Kadia5DGUNbZQu2MQwe7R3CMjR2+mRThAKhZQtl4miSS3Jomqwr5VaGUoHEgrQ1iGAl5U+uZX0X6e7+OgiUyMcyTwDE122jOmTGJ5AiGOPivFOL2JsakaUE5YdTiKfFxcA7TwB6ZL6T2IJ3gizR4yHOTnqtfdeAXq5meFmtuLuR4MGRl9MNT4Q4vcvD18bwo2Vxxdg8f7HCj/UbAYd5vocVDe3azTamF7WiGm/xoPDpOPLNwLR2MbDJ/+kqP31/ybqWjqw82oO1g73wY9S2xLrTqRi3YlUpG8YjBAHY5xa1As7Lmfj+6s5eFxYByMdFvp7WeBxYR2yK5qQU9mE4QE24PL4MoVDWmkDxu28jUnh9vhosBfFnMnBVAc7JodgRlQNxu+S7z4qD/FN2clUBzpsJlJLG8giRNXXtfME4Ii2QcSrZrFFthaLjpnRzpgT4wpDbRZauXx8cykLO6/mkDfuMcG2mNfXFQfuF2L8rjvgC4TQYtGxsJ873u3tTI7k8gVC/Hn3KTaeTtNoMsVQm4X61g61C4/dM3ugqY0nU3g8/HgAWAwaFu9/TBpPKSNhTRzGfH+L3EpShaOpDs4u7oOcyiaM3HFTadikuszq7Yz5sW4qDbzEnE0uQy93M+hxmBgZaANLfQ4m/nhX5ddJB9RxJLZpL6koEuf0dZXJppJkRKA1Rc8W522JQw8U6/H8bQ0VbgkH2BmSk1q/itLFe7mZ4u/HJaDRCLfSQw8K0drBh5eVPsKdTfC4sI6inZrc0wEAMOv3zmLoy4mBSn9GQDxeS9xL3o7+b4/XStJdfHSR1cO8yeJDUeEh5sD9Arwd7QQajYYRgTbYfCad/Jqa5nbSaMdORxt1LR34/U4+JoTa4YepofD6+Cz5fcKdTZQWH40a7PtqcpGWh3i65UJqudyLtzaLgRGB1sivbsH9/BqV+96KaOcJyO2cHZODkVRUrzSv4d/M+pOp6Otpjv7eFjJaBK+Pz5LGXh8M9MQgXyssP5yE1NIGXEqvQLCDEbytDXAzuwonEktgY6iFd3s541J6hYyIb198Ic6llGPlEC+MD7WDUEis5uYraF9LE+dNZFJIpuoqW02KkdZLfHYqjWL8BBDbQW+E2WNJnDssDbRI59L/nU0ndR8hDkb4eLgP8qqaMfnne+RqeJCvJT4e7kPZD08va8CKI0/k5scow9Vcl7IVpgwXc10cnhOFST/epVjiT+7pgE1j/JFUVIeF+x4pHd8ECMOwIX5WCPvsotrvc/fMHujlZobvrmRjx+XsZ85T+nFqKOK8LUGn0yAUClFQ3YKk4jqcF3lwNLXxIBASN+phAdbo42GO/KpmzP3rAdwt9PDTtDA4muqip4sppkQ4qBSJS3dnDLU7p+JUeeEM87fGLzflO7p6WenDzUKfEl3xxYRABK4/r/D7KSo8gM6ux6OCWjwurAObQSdDRGM9LWBjpI3fRe93ehRxLd8f31noxHlbwM5YBzyRAzJAfB7UmVgRX0ONdVgYqYYXyH+F7uKji2ixGDDWYZGTHJKCK2kyy5vwqLAOIQ7G0GIxMCncHt9dIVrwAiHAE60O6HQaOEw6kosbyOMlOZusWs0umTGjDE0KFWlsJIRke+XEvhvrsPBGD3vsvpVPFjmu5rrwszVEUW0rSutaUdXE1Vh8tmDvI5jrc7D9zSB8dSFTrRvivw2x/8CmMf749EQKZevrvT8egEGnIeuzIfCzNcTxBdH48Xoutl/MwqOCOuhzmBgWYI3EwjoU1bbi55t5GORriShXUxxMKKSsMmuauVh2OInSZZNm2SBP6LIZ+PZyNilKBQjBLItBw1B/K4UjjvJg0Im8Ej0Ok5LiKcnP08IQ60WISR88rcWGk6lk4WBrpI0VQ7zgYq6LT453pvk6m+li7QgfxEpM9rR1EJ0STUZSAcIXggaoXXhsGuOPaDdThGyg6lrOLO4NT0t9/HQ9F1vPpSuNoAeA8+/3waGEQozSQFSatG4gyurbMOb7W8+cp3RkbiRCHU3QwRfgYlo5Np1OU/r5ic+vkZkYySxvwqjvbuHQe5Fwt9THon7uSosP6VwpgEj6VhcnM11sO5ch9zlxVL3kVmZ+teK/qTKNG0C4lAKEIRpAbK9dFoVITo10xLVMwn/DQIuJUUE2aGrn4aBEl0Wc4yL5fo/OjVL245HsuU0UWJPCHTQaaHjd6S4+noG/50eTRkDKxrcAYH98AVlMTIlwxK5rueSqQHwTzq5oIluDv9/OR4iDMbaM9Scv5KmlDSqnXtQpPJ4VsbJeIBDK9RYZFmBNChyjXE3xZrgDziWX4fSTUpUXaVVUNrZj8f7H6O1uhvdiXOUaXr0OrDr2BHNiXJFX1UTZPuELhHBZdRonF/aCn60h5se6YaCPJZYdTiISkJNKEeZojCB7I5x+UopzKeVkjknC01qVBlr9vSywcYw/ZTpmXKgddl3Lwc83Ov01OvhCtQqPMEdjWBlqISG/FmUNbTKdDmlm7iEyZCTNu8TOpeND7fDdlWws3v8IAiHRPVvYX+xo2nlRvpVdhVXHnqjsNEgjqbdSh8sfxOBCajnF7MvWSBvXl8eitoWLt3+7r9TMSsyDNXGI2HxJ7XP/o8FemBPjgj2387H5TPozdSnFRUdBdQsm7Lot15VYE+paOrDscBKOzI0i04AVwWbQZR7zEE3yyRObShLlaoqGNsXXsuEBNiis6fz7bxzjp9CIDJDtwEgyNoQwBSurb8NpUTaQsS4LjW08OJrqIMbdHDNE5+1Ekf/Gn3efkt1cBxMd9BFN3fwg0ZVVJxAurbQBd3OJ6RlxAfP/he7i4xlwNNVVfZCIgwlFWDbIC+b6HFgbamOwrxUZggUQ7Wi+QEjuYZ56UorVw3wwsYc9ZRVpqeID/zJoEInLyhraZFYTPtYGuJpRCS5fgKH+VghzNMHi/Y+6vO2iiBtZVbiRVYUlce4orWtT23vl38Suazlg0GkUUzkxw7+9iXBnExyYHQF3S30cmRuF3bfysO1cBhKe1kKfw8Tkng5IyK9FelmjWh0AWyNtvBnuQCk8AEBfi4Vlg7zQw8mEDJhTF3F3wtfGQO4kQbiTCT4b44dVR59QhIOSN9Rz7/fBzawqDNl+g9yOHBZgjdVDvSlhdLXNXJGwtjN0Tx30OEzYGmmrXXhMi3TEyiHeCNlwgSIc3TTGH5N7OuB2ThWW7H+s1L4bICYvguyNEKrBNsvlD2JgpMPGrN8TlEbIq+K7ySEY6m+FOznVcFpxSuFxbAYdHBYdLAYd2iwGguyN0NPFBL3czNDC5WPF0SSZrsvjwjoceVCEN3rYY1K4PfbFy//syeuuitNnTyYp18a8P8ADm0/LmtoBxJaQk5kuBkvY148OsqX4akijbLtqokg8/8fdfPAEQoQ7meDB0zoAhGFYXnUzrmdWgkYDpkY4gS8KURQzJcIBdDqNTL8FiJRoddgj6rQM9rOSCV78ryNbmnajEb9MD1P7WHF7DSD2DSURj6DlVDbB1kgbHXwh9scXgEajUVYQhx8UyYSMSSO2Mn7R5MsxDOrgC1BU2woTXTaC7Y2x/mTqcy88JPn6YhYOJBRi/SjfF/ciLxC+QIiVR5/g20nBCHeiqtzj82rgvPI0SupawaDT8G5vF5xe3BvBDkZobOeRBmXqUlzXilm/J+Dd3xLIuHEeX4DzKWWY+ss9tQoPJ1MdrBnmjbdE4joxim7s8fk1GPbNDTxSosno9b8rWHH0CWqauXC30MPed3viu8khlPHZvx8Vo/+X1zQuPILsjdDUzqNoNZSxd1ZPvBFmD++1ZymFx92V/fFmD3vsuJyFKT/fU1l43FrRDzXNXIz5Xr2RfB9rA2R+NgTlDe0Ysv16lwuP2X1ckLVxCFgMGpxXnsbkn5VnUXH5AjS28VDTzEVxXStOPSnF2uMp6PfFNcJtdkY4Noz2k/m6E6LiQXLcXpoMOeemh2iK7+PjysXjIQ7GFM2RJOItF/G5b2ukTVnISWOgpXiN7Wymi3BnE7R18Emr+UB7Q6SVNoDDpGNCmB3+EGk9+nlawMFUB+dTyig6qwmhRPEy969OTZWk+Z8iapq5+PsxMT0zU+p+8P+B7s7HM9LfW/348T238jG3rxv0OEz0cDKGj7UB6V7a1M6DmR6bYvT0170CzO3riivL+iJ6y2Xy8fGhdjJjm5Ko49nwrPD4AhnbdgDkRXmInxW+uih/FHOYvzX87QxhosNGUzsPuVVNOJhQ9Ezt5bXHUzAm2BZsBv1f0QXRxKwKABbue4TxoXbo522BLVI25lFbLuOdXs6IcjXFiqOy8ebyCLQzxIhAG/xx96nM9sTFtHJcTCuHPocJLTZDre8nJr+6BZ+dSoObhR6czXQVOlb2cDKGn60hdt/Kl9lumBnthBAHYyyU4+OSVdGErIomRLiYgk6nobiuFauPPVFre0MSbRYDES4mlEgDZfhYG2DvrJ74+mIWxR6/p7MJ9s+OQF1Lh1rbLLpsBu6tjkPfbVfUNm37/q0QDPSxxPZLWdhxJbtLxbqRDguXP+iLotoWuK8+o/k3kMOppFJcSC3HjeWxuJRWTvnZ7+RUo6GtQ6mzcqpUQepgogNDHZaM47I07hZ6Cs9JGo3oiklOFe2Z2UPG6E2ShjbF+raZokGAvx8Vo7alA7ZG2qQJ2aggGzAZdDLefnoUMV4rGfQ3LsQOxrpsZFd0FlpLB3go/fnE7L9fgHaeAH62BhrZN/xX6C4+ngOSHg4sBk3h3m4zl4/98QV4t7cLOXa7/EinIFCXw0RVExc1zVzosAlb8wup5Rjib035Pi8qBlwTCmpawJIzriu2x04tbZCJyp4a4YjVw7zBYtBxOb0Cd3KqcSe3GrmVTWAz6PCzMYCZHgcpJQ1qjz9KIjYq+2SEDyUZ+FVQ1dQOOk25r4A04ovc3lk9sfIoVdPwy808hcp/MQN9LBFob4Rd13KQWFSPlJIGvNPbGQKBELtv5cu0nhvbeXJb4+4WepjVx4W4+NLpOPKgCF9cyKCYz2VL2ZVLC67v59cq1BfsvpVPCvvk8ck/Kc80Vh3qaIz8qma1C49NY/wxNsSWMlkGEJMhA32t8LiwDvP/eqjynPx0pC+iXE3h98k5td/r7RX9wKTTMPmne0otwZXxy/Qw+NsaInrLZZX+IprC5Qkw6ce7+PPdnoiSWADxBMSkjLKp0OOPqVk2fTwIs8X7KnRJywd7YenBx3Kfi/Ukpkp6/a/TH6Wrk6mG2ixMCLWHUCgkz8dhAdbYfYv4nE2LdMKxh0VoaufBxUwXvdzMcCe3mmLsJnY0HfFtp5B4Qaybytfu4AvIjsp/Pb1WEd3bLs+BDwd6kv8vr/BgMTpPrF9u5pEr/JFBNjCWCGSrbebCykALrR180ofjtzv5AICfpnVu7xTUtOCdXs7P9WfQlMzyJrCYik+fMikL44lh9tgw2g+ppQ2I2HwJs35PwK+38pBW2oB2ngBNIuv18wpGdzXh0xOpGBtii35eqlufL5KuTkVO/umeSjHlvlkRyNs8FFkbh2DpAA8w6TScTy3HLzfz8MEADwz0sQRPIMQP13JxIbUcwQ5GKl/Xw1IPu2f0wLklffBGGGGYxKDT8EYPe5xd3IdyrkoT5mSCHZODEect/3dubail8Lk1w7zxZN1AfDzcR+V7VAabQcfEMHs8eFpLmd5RxqUPYuBrYyBTeCR+MhADfCyJsfddt1Wek5c+iIEOm6F0BS6Ju4UeMj8bguK6Vgz79maXCo9wZxOkrh+Ea5mVCN906bkXHmJyRQZz0lQ2tivcfgp1NMZDqa+J8SD+/utPKl8YxHqay4Qqipka6UgRok7u6aBxYKCYmdFO0GYzcCenGhnljdBhMyAQCNHBFyLYwQi+NgbkOPC0SEfQ6TRKx9nf1hCBdoZobOsgf/d9PMzVMhU7n0KE05npsTEi0Frl8f9FNCo+du7ciYCAABgYGMDAwACRkZE4c6azxScUCrFu3TrY2NhAW1sbffv2RUrK62kMpQkMOg0hSi7ukgVJaX0bmQWgxWLgzfDOvfOGNh6MRBf4NlGBcje3BhlljRjgQ93eUeUt8qLJLG+EhRLtSalU8bFmuDfu5FRj7Pe3NWrzd5WjD4txOb0CK4aol6vwonEweb5ZDfP+IlxfWQw6FvV3F8XZ66OmmYt1J1LBYTEwU2TTTHitqJ5yKG9ol/m7tXXw8evNPAz8+jo5Vi6Pa5mVWLD3kUKtQml9G+U5E102ea5/dioNUZsvo6i2hTRq0pQgeyNEupqqveU2NtgW6RsG4/CDIsr464hAG+RvGQYmnYZF+x9j7fEUlVMq6RsG44vzGUrHmiXZMMoX59/vgz/vPsWkH+926fPw17s9sWKIF3zWniP9J9QhwM4QY4Ntsbi/O76eGISTC3shbf1gJKyJw3eTQxBgZyj363Zdy5HRktW2cBX6q8R6UjNXWAwaIl1NIRQKleqUermZKTxXxZMn8/7s1FYsG+ip0Ti4JNMinQAQrsoAkTwudgCeFumIW9nVZG7NuFA7JBfXUyYNp0Y4gkajYZ6E1mPnWyFqvbZY/zdZFE73/xGNig87Ozts2bIFCQkJSEhIQL9+/TBq1CiywNi6dSu+/PJL7NixA/fv34eVlRUGDBiAxkb1RXGvK5KdCVX8cD2HTGqcEuEIhkSlXNXUDn0OE1yeAOKHfxd1P+bHupLHHXtUjN7unemdL5v98QVqhx+FO5mASadjtoTznzTqOq5qypYz6Vjc3x36SvamXwYFNS2w7aKa/fj8aES6mFIeq23pgPPK06To19fGEP8s6EV2xE4klijd2pBHfWsHVh17gnG7buNRQS323MpDn61XsP5kKhkFsGWsP7I2DsHFpTGIU6J3MtPj4Le3wxU+r8dhYmE/d3w60heu5rpobOdh9618UvSnCe/1ccHjwjrSDVgVu6aEYOv4APivO0dZye6e2QPfTgpGdkUjRu64SQkMk8ebPeyRtG4gvD4+q/YN8ML7fTA2xA6L9j/G+pOpGpuGuZrrIvGTgdh1LQdj1RSzAsQWg52xNpKK6nH0UTG2X8rCkgOPMfzbmwj89Dw2nkqDr40BDs+JwlB/K5mvf1JcL1N86HKYCke7pX+uUEdj6HGYuKMk9A0APhvth0k/yXdOnSoaRRUbLepxmKTRo6ZMj3SEiS4bT6ubcUnk52FnrI2yhjaY6rIx1N+a7DqPC7WDvhaLMkZrpsfByCAbCARCsiDRZTPI/CJlJBfX435+LZh0Gt76fzZeK4lGV+QRI0ZQ/r1x40bs3LkTd+/ehY+PD77++musXr0aY8eOBQD89ttvsLS0xN69e/Hee+89v3f9L8RUT/kEiiSZ5U24mlmBfl6WsDXSxkAfS5wRGYhVNXFha6SNxnYe2bY/9qgYHw3xwocDPUlzMgDwtNRX6vnxIimpb0MHX0C6syojxtMcB+4XyOgL/GwNsCDWDeHOpuAJBEgpbkB6WSMKalqQV9WEp9UtMivxrrD9UhZ6OBnD2UwXBxM0m5Z4nnR1O2nUd7fwxYRA9PEwpzg6AkDfz69iRpQTxofaYf/9Ahx/pNreGyBsnEMcjbDxVJrM7/hRQR1lSsPWSBvzRT4c4tRYNws9vNvbWWGOSlVTu9KAr4KaFmw4marUnE9dflDT8ZZJp+HKh33RzhPATUqU+XjtABjpsHE+pQxLDyaqTIndNysC5vpsBKxT7KgpTfKng1DTxMWY7291ySL9iwmB8LTSR+Cn6r+mmPrWDlKPJQ2XL8CxR8W4mFqOXVNDsXlsAO7kVMt0uioaqB0aZWJTaRdi8fTH5J+UT9/ocOR3AbRZDEwItccWifP/7/nRiPvymtLvp4h3exNhb3tu50MoBPp6muNMMtH1mBTugIqGdtL+fVqkEwqqWyjF6Ow+ztBiMfCVxJbPiYW91HptSX3Jv8E64VXRZc0Hn8/H/v370dzcjMjISOTl5aGsrAwDBw4kj+FwOIiJicHt24or9Pb2djQ0NFD+e105qebJBwC7rnZ+OGdIjVk1tfMonYAWLh8H7xeCRqMh0N6IfPxnFQLEF829vBrSrVIZ1oZaOJ9KvUn1cjPDkblRsDHSxtw/HyB84yXM3HMf/zubjn3xBbibW/NcCg8x9/NrcTChCKvlJG2+DnxwKBEXUsvwz4JoOEqZF+25nY/h397En3dlCzxJZvV2xmiRffOvt/Lw5flMbB7rT27PKGLZIE9MCrcnC4/sika8+9t9vCnK9tBlM+BrY0BxvpXmnV7OOLO4N96OpmqVnrXwUJfpkY5I2zAY51LKKDesCBcT5G0eCgMtFr66kInZfzxQWXg8+ngAapq5ZOq0Kvp5WSB301CkFNdj1Hddy2a5vaIfHhbUUtJSnzeN7TzM3/sQbR18DPaT1SHkSk02VTTK/3wa6bAoCxIaDaQrqDI2jPbDqB3yHWBHB9vCUIdFKWoeFijeStRiKb61DQ+whr2JDhrbOnBItBhxMtVFcnEDtEXblb/czINASFyn3Cz08NONztc10mHhrZ5Ex2L7pSzycRdzPaU/H0AU5eIiRvq6//8NjYuPJ0+eQE9PDxwOB3PmzMGxY8fg4+ODsjJi5W5pSW3FWlpaks/JY/PmzTA0NCT/s7e3V3jsvx0/W/n7pfKIz6/BA5HpUrizCWm+AxCrFG02dQXww/VctHXwcei9SMrjIwNfXRbA6aRS9HJTvfXDFwhlBGSbxvjjdnY1Ru64hXsq1O/Pk42n07DyX6IDkfb1UMXDgjqM3HELc2JcVR8Mwga/r6c5GXf+0408aLMZ2P5mECwNOMitasaM3fdVbs8sOfAY03ffx4OnNVh97AkGfX0DF9MqwKDTMDXCEdeWx+LovChMCles1/jlZh7G77wNPS0mjs+PVvtnlsfYYFuNjt8zswfWjfTFoK+uUxxYt78ZhP2zI9HUzsPsPx5QbiSKyNk0FNsvZamdk7N5rD9+ndEDhx8UYcov95TqZuQR42GOhx8PQNSWyzJ5QC+CupYO/HAtV6VAmc2ko1rBKHG0q5nMv60NtfHLDeWLpbHBtgoXHNMiHXFQQs+zb1YElivR2CgLsXyvD/H5OZRATLK4muuSPjRTIhzAFwjJ2Ii5fV1R1dRO0RK9E+0MXQ4TV9I7NUw/TA1V+rOR7/teAbh8AQLtjRDs8P9vvFYSjTfCPT098fjxY9TV1eHIkSOYPn06rl3rXElIjwwJhUKlY0QrV67E0qVLyX83NDS81gXIvlkRCvcspfnxeg5+mBoGGo2GOTGuWHLgMfmctHNoZWM7DtwvlDEnUydF80VxIKEQ82JV3wilxbGB9kbQ02Jizp8PXtRbU8rmM+l4I8wO+VUtXR5vfB7E59fAw1JP45WwOpbyv0wPQ19PCzDoNLRy+fjf2XTsuZ2PffGFuJ5ZhaUDPPDREdnv42Kui4LqFpk9++uZlbguoakY4GOJjwZ7wc1CD1czKvDpiVTS88Pf1hCu5rq4klFJafU3i5Jrv1HjJq+Mo4+KVR8kgTzztLsr+8PKUAu5lU2Y9XuCyqyXSeEO+HSkL0Z8e5P05lHFPwui4WtjiI2nUvGTihuvPL6aGAhLAy2ZXJkXzT+JxejjoTyN1ctKn9INkETa8GtcKFEsKvL9AYgOlKLiL9zZBN7WBhiy/Qb5WAtXcRdFj8NU2GWJcDGBv50hkSQr0nR4WOrjTHIZOEw6ZvVxwa6rueDyBAh1NEaUqym+OJ9JTijqc5iYJroGi6MCAGCQr6xORhouT0BqVP4/mopJo3Hng81mw83NDWFhYdi8eTMCAwOxfft2WFkRv3zpLkdFRYVMN0QSDodDTs+I/3udiXQ1VX2QiHMp5cipJG48IwJt4GLWadfO5QnI+XWxw+nOqzlo5/HxYE0c5ftEafCaz5vyBtVK/QtSWy7uFnr4/U4+pcDSZTMwNsQWlgbqa2eehYMJRa+08BCTWd4EAy0m/Gyf73n/zm8J5I1fm83AupG+2D87AjpsBorrWuUWHgCxSj25qBf6Sk0rSDM90om4WP+egBm77yOvqhnm+hx8NTEQ/yyIxtdvBuP68ljMj3Ul3Xufhec5Ni3u/FxOL8eoHbdUFh4/TQvDisFe8FhzRu3C4/7qOLia62H27wldKjwufRCD9NJGlRqJF0FVE1dG3yGNo6muWp99XTYDg3ytZAzHpNk4xl9hWvW0SEfckxCqbh0XgHd+UyxeV7a9M68v4cFxIrEET6tbYKjNIk0ZxZ27v+4RBcLi/u5o5vJJwT9AGI0ZarNQIDEKP7evep3IM8mlqGhsh7k+B0P9/3+O10ryzD4fQqEQ7e3tcHZ2hpWVFS5c6KzSuVwurl27hqgo9dL9/ivsmqLeuBUA/CT6wDHoNCzsTzWnETsdCoRC0nTsYEKRjLg1WUlU9Ivm+6vZmBKhfDxSMtMDIC5I0pMJka5mOPqwWK0L2n+NhjYekosbSNtoTdkw2g+TwmW7hSEbLuCoyI68rL4N51LK5IqD/3ynJ3nh/ePuU7yzJwFuCvavxXvpU365h95br+BCajmYdBpm9XbG5Q9iMCbYjux0Gmqz8OFATyzop9p0SRWX09W3G98xORj5W4Yp9MJZvP8xnFeextt7ElSmO99YHgtPS32lUe3SpG8YDBoNmPTTXXKSQhMerx2AKT/fU1tIqwlGOiy1TLlU2dF3KHAjllxAAYSoUofNxNBvbsg9Xoy8qAaAEDsP8rXCxB87u8muFupnakniZaWP3u5m4PEFZPctwI4I8mQz6JgT44qfrueinSdAkL0RerubYX98AemQymHS8bbonBr1Xaf2ZpmEz5MyxM65U3o6kvqp/89o9BtYtWoVbty4gfz8fDx58gSrV6/G1atX8dZbb4FGo2HJkiXYtGkTjh07huTkZMyYMQM6OjqYPHnyi3r//0rkibUUcTChEBWiQK4RATYyH16AGFsz1CY8EXZeyQaXJ8CpRZ3i1oY2Hvp4KF+pviiuZlRiqAY/LwC0dvAppkU+1gYKpyb+P3Gyi861H/+djAlh9tj5VohMl2HpwUQ4rTiF3lsvk9qOQHsjTI90JH1aZuyOh62RFn4XjcYW17UqFDPL20t/M9weK4Z4Q1+LakJWUN2CKb/cUxiL/qJYezwFTitOURxhxRbmmpC+YTBK69vQZ9sV1QeDaOnnbhqKsvo2jNt5G0lFmi0K+nqaI2FNHILWX3iuYmtJ6lo64GKmS4apKUKZyR2TTlPYNZQWpU7u6ahQmCrm0JxIhZ2M+bFuKK3r/Pp3ezljwV5ZW351mNvXFTQaDf8kliC3qhnGOiyysJgQZgcmg4Y/7xJaj8Vx7ujgC/GzRNdqmmg8t6mdR2p3wp1M1DIVu5NTjUcFdWAz6F32svmvoVHxUV5ejqlTp8LT0xP9+/fHvXv3cPbsWQwYMAAAsHz5cixZsgTz5s1DWFgYiouLcf78eejr66v4zv89PpMTxiQPgRD4VXRTYDLoCleJTW086HOYKKlvw5GHRfC1oYpb09RsB78I5KWZSiM5liftfJhW1vnemXQaxgTbykx0vAy2jQ946a/5vBj7/W1klDfi/Pt9KBNRYjr4QtibaOOPd8Lx97wofDrKD+ff74Nh/tbgCYT4/HwmpskZjdVmMbB7Rg9sGuOv8LX/vFuA0d/dQlJRHQBAIBDijzv5GLz9Om5lK/d1UMS4EDuNju/hZIy5fV2hxaLLaIzWDvdBrKcFtowLQLizeiLfRf3ccOhBEd744Y5ax8+PdcX+2ZFILqnHuJ23VTrUSvPhQA+sGeaNMA0ScLtKTmUzLqaVK3WsFW8Hy8PZTFctk8NwJxME2Rth6s+KR64BgK6gFWNjqIXxoXaUrskbPey7VJhZG2phqL81pesR5mSCxMI6MOk0zO3rip9u5KK1g48AO0P09TDH8cfFlGvbLNF47rRfOrfCfp6hnr/T1yK9y8Qe9iqDQf+/QBMKX2TmqOY0NDTA0NAQ9fX1r73+Q1mUtSTaLAbiV/eHvhYLPL4AA766LjewSxw8Z2esjSsf9sX1zErKiiHO2+KZYrifhfmxrhQPkq4yNtgW51LK0Mzlg0YDrA200MzlK/QoeN58OtIX317O1igU7t/GYF8rnE2RP2H22Wg/TJEwNmpo68DAL6/LFJCfTwjEt5ezlN5EjXRY8LDQR1pZAxrbeKDRiOyNisY2mRj2F02kiyl6OBnjm8vZL/V1AUJDMirIFlczKjDvr4cqfW+k+XFqKDgshlJflBeBFosut5OlKpPIVJetln39T9PCCIGnEi+UXVNCMOdP+ZNDG0b7YaifFUJFBVlvdzNUNXG7tND6ZIQPZkY741BCIZYdToKJLhtuFnqIz6vBG2F2WDHEG73+dxktXD5+mR6GWE8LDPz6OplhNC3SEetH+aG5nQdfUXaPhT4H8avjlL0sAKLrMemnu2Az6Li6rC+Z1vxfRJP7d/fG0wtkkZp73a0Scc5MBh0LFXxdQxsPbCYdRbWtOPawWCZRV93Y8BeBo2nX9mGlyapoQjOXjzBHY6wd7gMjHfZLKzwAItRsaoSjxmOwLwpNOwAAFBYeALDm72SEfXYRXJ4Ae27loe+2q3I7VxdTyzGlp6z74pax/jg+n7Byr2vpQHx+DVzM9dDT2QRCIaHNeNmFBwDcya2mFB7v9XHB7RX91E4YBYAVQ7w0/n0fmRuJUUG2OP2kFO/+lqBx4XFyYS9UNXFfeuEBKB5HVWW6qk7h4WKmi/5eFlihQNgsxkiHLfdxa0MtvBFmh4ESWTnrR/l1qfDQ5zAxsYc9OvgCfHOZ6HpEuZoiPq8GdBohQv35Ri5auHz42Rqgn5cFLqaVU8IT3xONt0v+nf5ZoJ6vk2TX479ceGhKd/HxAnlfgwvfD9dz0c4jLlwjA23gJLXtQKeJJmBE/95xJRs8voDcpweAwppWDPFTPfL1IvjyfCYCFeRCaEK6aAvGxVwXn55IVXu64Hny1cVMBNgZ4o0wzW/8z5sTiSUUW31N+O3tcFz6IAYellTxaFVTOzzWnMG6E6moaebC1VwXP00LQ86moVg+mBDPnU0pw8bTaTLfc8XRJzj+uAQH50Ti/TgPsBg0JBbWPZNXS6ijMc4u6a3R1xjpsDAh1A66bPmTNIceFGG/yKtBHef+ve/2xKzeLkq3G+Tx9cUsrD2ejAV7H2pslX7zo1hcTq/AqmOqR6f/Lego+H1L805vZ3QIBDJjt5JsGetPGtVJM7evKyob28lCJ8LFBHO7OJo/q48LdNhMHH1YhMKaVpjpdS5oRgfZwkiHhd9EYtBF/dwBEFk2YiaG2ROu020dpHjeQp8DKyWmemLu5FTjXl4N2Ay62lMx/1/oLj5eIDQajXIDU5ZfUtPMlep+uFOe12ETmgkun1itFNS04PjjEhmhaeYr6n6UNbQpNZlSF3GIl7QNutVLtiH++WYetFkMzO7j8lJfVxouX4DvruR0yRht+q/xOHi/EH/Pj1ZozNXPywLnlvTBAB9LtHB5qJFjHDUjygmP1w4gJ2p+vZWHMd/dQoynOaaLwrm6Ao0GLOrvjo+H+2Dw18qnIaRZO9wHm8f6K3RIrWnm4pvL2fjyQqZa6cIzdt+H66rTCoPSFHEjqwq/33mqcYLx/dVx+PlGXpcTWV8V6nR2THXZGBdihzXHkpUep6gLYGnAwRth9uj1v06h78fDfZQG0inCUJuFd3o5g8sT4FtRZyzGwwI3sqpAowHzYt3wy808NHP58LY2wAAfS9zPr6Xo0sRFw8QfOgul04vVK5a7ux6K6S4+XjAbJYR6qlZGX17IJGfURwVRux8tXB5MdNmQVOjsuJINvkCIfxZ0OkbmVDbLJEq+LA49eP65KVYGWohf1R8XlvbBjsnBeLOHvdyJoBfBb3eeorGNh8X93VUf/ILZfCYdH2jQSRPzw/Vc+H1yDm08+TeNy+kVePu3BBx9WIR+X1wjp1z6eJiTXh97budj2q/xeK+PK3bP6AELfQ5yKpsx+rtbXbb4N9fn4K93e4JFp2H0d7KW2orSVcUsPZgok8+ydVwAfKw104nNEPk2iIt6dbi4tA8WPcM5kbh2ILadSydHL/9rzO3rCqFQ+fVgw2g/uQJnAJgT44pcCe+VsSG2XfY7WRLnDl0OE4cfFKGothXm+hzUtRAF9jB/a5jrcbBHJPhf3N8NNBqN0vUYHWQDJzNd1LVwyS6ss5kuzNTI8urueiinu/h4wbAYdLX3kRvbeKQFMTH50nmBEwhlW555Vc04mVSCADsjyuOJGo74PS8ePK19pouyPAb7WaGpnQf/deexYO8j7L9fKDPO9yLZF1+A3KoXW9Cp47sAAF9osErmSPgICIQgU1e9rPTBYlBf8HpmJZYeTERlYzuczXSxZ2YP/P52OPbMDMcPU0NhqM1CUlE9hn1zAzXN3GfuBnla6uPEgl5YceSJzM+kr8XEYF8rjcdUd0wOxvhQOxyeG6m2qdmF9/vg/QEeGmmKHq8dADcL/WdKSQ5cf/6VBhy+SGwMtTAlwhEz9yjXsNgp6AKY63MwKdyBMuEyOdyhS7ovSwMOJvd0AJcnwHdXiK7HAB9LXM4gRPkL+rnh11t5aGznwdNSHwN9rJBUVEfxlJkfS+jvJAvkv+epFw+w/VJ310MZ3cXHS0CTEc7vrmSjWjRpMTrIhjJyWlrfBjM9qkDrm0tZ4AuEuPJhX/KxmmYuJSvmZXLs0fO9qDLoNKw9nvJcv6emnEgswZUM9eLau4JQqHxLTho2g47+Khw/pe35xXz/VgjurYqDr438DsG3k4LJBFKAsI0+u6Q3ejqboJnLxweHEin5KF0ho7wREZsvoaCGOknjaq6LADtDGcGss5kujs2LwtgQxZkuC/Y+Qs/Nl+Cz9hxaO9QTfQ746rpGCbF+tgY4/rgE286ly9XDSOu0/j+yOM4drVw+7uYq1gB9OymYYk0uyZwYV0pg3PxYV4zfpd64szTLB3mBw2TgYEIhiutaYaHPQU0TF0IhMMjXEjZG2vj1FrHYW9TfHXQ6jZIaPcTPCu6W+qhqake+aOrLx9oAhkpGlMXcyanG3dzurocyuouPlwCdTsNbahrLcPkCfH+VaPtJaz/4AqHM1k1OZTNOJJbAWWoroiv7o8+DwppWLIh9dkdLMedSynAzu4r8t+0rXkEYaHV9xSuJdBeLJxDKdCQUweULYGHAwaze8h08ldHvi2t4/8BjFNbIH6Ed/u1Nip00QGx9vaHClEodxocq7gD2djdDbUuHjC/ImGBbnFvSB8EOxjLeNtJUNr7Y8ejk4gZ88k+K3JFyf1tD8gYljw2jfF/kW/tX4GKui3Ehduj3xVWlx7Uq0I3Ym2hjSoQDZYsl1LFr4WsuZroYHWyLdh6f7HoM9bfG+VSisF3Yzx17buWjsY0Hdws9DPGzws2sKsr5J+56SGbKHJxDDfZURHfXQzXdxcdLQl3TMYBIAC2qJS5k0t2PupYOmRvXtnMZaOvgI35Vf8rjz2P6pCtI7pk+K+LcBTHFda0Kjnw5iB0Rn5UWLl/GbEgstlWHffGFKGtox5ph3modL7lHfS2zEg1tPHhY6mFCqJ2M1fPa4ykYuv0GhEIhKhvbMefPB/jgUKLa700Rh5VoAG5kVckYV60Y4oUv3wgEm0nHiiNJ2HAylXxu2/gA9HZXnagsSS83M2wbHyDTPVTFk3UDcWN5rFI9yRMlEQdJ6wZCm/18itZ/Mx8M8ERpfZvS5N5DcyKx/Ij8NNqVQ7xxPqXT6Xj9KF+8vUdxhosyVg71BoNOw4H7hSitb4OVgRZqmrkQCIH+XhZwNNUhHXAXiraKJbse/bws4GdriPKGNrKo7eFkTDFLVER310M9uouPlwSNRlOYNSGPry8S8+hMBl2mk8CVaqkX17Xil5t5sJCaCHlV2g+eQKh2p+f/M5WN7bAz7vqq6ERiCZnMqQp5pmksBh3bJgTi8JxIWEuNDaaWNsB55Wn03XYF51K6bn0/t68r7qzsp/HX7ZoSijkxhB328G9vYP/9zkjzhDVxmBBmjz/e6al28aXHYeK3t8MR42mOKgVR8PJY1N8dXJ4AKSUN5Bi4JiSsiUNyUT0+fA7FmyqkR6pfJoH2RhjiZ4XeWxVb0WuzGNihwAQu3MkEQ/yssHBfp3W6bhcLNn9bQ8R5W6Cto7PrMdjPihz7XdjfHb/feYr61g64mutimL81TieXUgpIcdej/xedie2/v91TrdcXdz3e6GHX3fVQQnfx8RJZPVS9CyVArBLFY7PSduPypma+v5KNysZ2JK0bSHm8l5tmq8PnxV/3Cl7oHrg46+ZVcWRuZJeD4CSR7uyIMdBiqmUxX1jT9U5QSkkDnFacgp+NIf5Z0As9nGRb3NKjrHbG2gq9NeTx592niNx8We5zir7P4TmRGOxnBYFACKcVpyimZekbBpNdnIcFtQpj2KVpaueh56aLCN94Se33DhCaqtDPLmLOnw9kxmnV8YGZ9ONdTP75xSfTxq/qD8uXPI4uyYZRvirD//bO6ikTKClmzXBvSpDet5OCu9xtWz3MGzQaDfviC1De0A4bQy3kVjWDLxAiztsCbhZ6+OkG8VoL+7lDIBTic4n8oWg3U4Q6GqOotoWcPozxMIe2Gue9uOvBYtDIBN1u5NNdfLxE6KIMAXURfyCYDLpSp0Y6jbhJfHkhEwZaLMpFXVIv8bJ5Xq6n8pgW+WqTIcftvIMlcR4aj3aqS0MbD83tfLiaq/c71GEz8Oc76q3MHEyoRY3LqtPQYTPw17sR8Fby87ia66KotlWht4aYADtDfDEhEAAxwaUIRd9n2eEk3Myqgsuq05THczcNhZZokuVubjWm/nxP6fcXYyPq6kh3PBh0GhgaCH0liXYzVWtiJatCM9MyTXEy1cHNj2KxcN8j3Mh6NZ/1yT0d4GNtgHd/V7xF0tPZBGO+vy33ubEhtvCxNsCWM53bHtJiZHXp42GOCBdTtHXwSe1ciKMxrmdWgkGnYcUQb/x+Jx91LR1wNtPF8ABrHLhfSNHriLsekl2cH6eFqvX63VoP9ekuPl4yH6oZvwwA51PLSeX3yEAbBMkJDAM6DcgO3C9AelkDHnw8gPL8q+p+XMusRJy38qmMrvLt5Wwcnx9NelG8CuK+vIbdM3uoPdqpCukbf1VTO1q5fLXa6S1cPjaeTsP+2REqjy2oaYGFPocinvX95Bw+/jtZqUldTqV6I84W+loKwwaH+FkpTJf9amIgLPQ5yKtqxhSJ8K4AO0PkbxlGpodezajA9F/jVRZBYkoUBJHxBULw5XQRv5oYiMG+yp2ClQXm/Tg1FNkbh6j13p6VXu5m6P/FNdzLq1HbffR5YqzDwrKBnpi/V34+i5h5CkToWiw6lg3ypDidHpgd0eUk5OWDiOvrntv5qGwkuh7ic/qtng4w1mFhp6goWRDrBi5fQOme9XY3Q5SrGfKrmklPpSF+VuAwu7sez5vu4uMlw6DTNDKt+t+ZdAiFQtBoNKwd4SP3mKZ2woBMIAQ2nkoDh0nHAIkL/M3sqlc2Bvgig+723ivAnpnhuL2iH1YN1dwB9HmwcN8jXF8e+1y+V1ppA/xtqSLhkvo2ZJart3pOK21QaFctTYVIRCc5TXAgoVDuzVgd2Ew6vKz0waTTcDGtXOHN40xyGc6nyteQnEgsxQ9TZVeYkhNfF1PLMev3BIWjxGKWxLkjfcNgLBukfrEPAJc/iMGYYDt8/kZgl7b2FsS6YaCvFWYp6QI8T/68W4B2ngDhziavZLz+o8FeaO3gK9UFrR7qrTC75r0+ruDyBKRtuaUBp8uC9RGBNvCzNURlYzupLXE210VmeRP0OUws7u+O7Zey0NjGg4+1AUYH22L3rXzKlNQq0dZ438+vko99MylYrdfv7npoRnfx8QrQpPi4l1eD66J2aoiDMUYG2sg9rq2DDzqNmBq4mlGJH6Uu4q9yi2KAgpXus/LH3af44+5T2BhpY3YfV/wmkXPzsojPq8Efd5/iwvt9nsv3e1JcL1OAKEORP8j8WFeVUx0NbTw8eFor9zk7Y20ZEaoirA21cGROFI4viJarR9LjMBWOBc/r64qVQ7zAZtBxOb1Cbmt+1u8JeP/AY/yTWIJ5fz1UORU0t68rlsR5gMWg48hDzXxnrmdWopXLx/sHHnfJ2OrIwyL03nr5hfrCiNHjMDHEzwr7ZkVgkK8VxRL8ZRBob4Q3wuwRtUW+pkdMh0B+oWhpwMF7MS6I2XaVfOyHqWFd/t2JHYA/P5eBJpFxmDgcbn4/N9S2cPGXKMJizXBvNLR2YNfVzkLnjTA7eFsbIEui+zcuxA4shuprZ3fXQ3O6i49XAJ1OI/fE1WHr2XQIRBf1j4Z4UdwrxbRw+eSH5LNTqeAJhNj5Vgj5fGZ5E2I8Xs0WxYXUcvjZvhhtxMd/J+Pjv5MhFApf2c/3zaUsFNS0YE7M8xmrUzS26W1tILMFo8iy/2ZWFY7MjeqyL0pRbStKFWxXSBLqaIzjC6Jhb6INzzVn5R5jbaiFn27It2GfEeWE92JcsXNKiMxzd1f2x3sxLqDTgGOPirFo3yOVNugTw+zx0WAvCIVCzPnzAcWmWx3WnUiF99qzuCCnO/PhQNX29qX1bc8kAlaXI3Mj8fDjAdg5JRSnnpRQxpBfBjQaYWd/MKFQ6XHH50dj61n5XbDlg7xwIrGE/Peifm5yrfbVYXJPBziZ6SK5uB4HHxDvydZYG+UN7bA10saMKCdsPJUGvkCIAT6WiHI1w/dXs9EoEpSymXQsHUB0yQZIJOluVdMgsrvroTndxccrYpwSwyVpUkoacFI0JmZrpK3Q3lp8Yc6pbMb++AIM8adOYyhSmr8MXmTM+h93n8J55WmcTS57Zc6u7/yW8Fz9TeSRVtoAZzNdUkCpjMSieize/xj7Z0fICEyfJ6uGeqGVy0fQ+gsKj1Emuhz6zQ3svVeAd36T3aYY8/0t9PeyxEeD1dtSi/U0x/9EN4tt5zJkCogIFxOFX9vfywIzopwUPv/NpGB8fv7fEQK3860QhDqaoK6FC6cVp/Dn3YKX/h6WDfKErbE2VhxVnMgb62mOUQqKiTBHY4wMssFHRzq//llu2ov7u0MoFOLTEykQCoEoV1PczSV0OR8N8UJ8Xg2uZFSCSadh5RAv0p5AzJw+LrAy1EKyROE/LdJRLUFyd9eja3QXH6+QQ2q65QHAF+cz0CEqLubEuMJCXzbYSDJ07quLWahv7cD91XGUY8KdFV+AXzTSCbzPmzl/PlDq7Gpv8uJXJGNDbMFWo02rDl5W+jKmRudSyhUKKKV1PY8L67DiaBIOvBfxwjQ/43beobTNxfR2N8Nf78qfvtk/OwKXP4iBl5U+qpq4lEj5rycG4e/50XA200VpfRve+OEONktMQSjCy0ofu2cS226HHxSRkw5i+nqaIz5PvuU3jQZcSq9QGvS2SMJ/Qpo1w7wxP/blmUnN/eshnFacQvgmzcaGnxeB9kaY3dsFfp+cU3rcGAWZViwGDZvH+uMtCSfTP9/pqbSQUcbi/u6wNNDCqSeluJ9fCy0WHWwmHS1cPoLsjTDUzwobRZEAUyMd4WKuh+0XO9OOzfQ4mC3qWg7/9ib5fdeNUM+Vtrvr0TW6i49XSA8n9QuBp9UtOCAyWtLlMGWEdNITFzXNXHx/JRvm+hzKuKaiC/DL4HpmpVwviZdFpIup2sd2dQTT3UIf96ScZrtKelkj3o52Uvv4/OoWeFpSOz+3squx/kQq9sx8eXqYscG2eKeXM95S4G9R39oBF3M97Jgsu9XSx8McQfZGOLmwl0ZjzGdEEed3cqplDL0iXEzwIL9WxqdDi0VHzqahOLu4T5cnwkYE2uDd3i4YH/rs9vOvAzQa8MWEQOy7r3y75euJQQoLtnl93cBhMhCfT1yLzPU52H2ra+nItkbamNvXFW0dfGw+TRSp/b0scV3U5V0zzBuHHhQho7wRhtosLO7vjqzyRsqY9PsD3KHHYVIyZd6LcSGnq5RxN7e769FVuouPV8wNDSYlvjifQeYijAuxo+goWjv4MNWlCgx338pHQXULLrwfQ3nc3eLVOSHez5cvcHxRSOpA6lo61PbN6OrUx//OpqOqqV2tkVd1+OZyNt6Lkb/NJs/dM6O8ES5SOT9nksso6v2u4mCig4tLY5TmlMyJccVAXyvM2C0bHCY+P9/74wFWH3uCuC+vyRwz4tubSCmpR00zF5VyXFkVva8HT2vxtLoZk36iTvsE2huhsKaV3NuX5P7qODDoNHhY6slY3YuxUmHc9cWEQAiFQsQ+h9/v68CqId4w1WXj47+TFR5jpsfB6mPyuxhuFnqYF+uKPts6PTS+fysEl1QYlCli/ShfaLEY+Ol6LorrWmFjqIXKpnYIhMSIrKeVPr44T2hOFvd3h5EOmzKJ5Wahh4mi3KKxEmLnFWpu9W0XOVF3dz00p7v4eMXYm+govPBJU9vSgZ0iXQGdTsPHw6ijt3yhkDLVwuULsOVsGuh0GjaN8Scfz6poUvsm/CIw0dUsW+NZkBSB0mk0vNnjxdu+L9j7CD2cTLCw3/NZCf1wLVfu47uu5eDj4bLj17lVzS8kgE+Xw4SbhR4eKZmq2HUtB3P+fEB5jE4DLi6Nwd1V/UldhXjqAAC+fCMQ55b0gZOpDorrWjHsm5vovfUKKhvbYWmg/LNhostGQU0Lxu+S3f5xt9ADh0GXmwd0/v0+0NciRmkPPyjCsUfFcr+/Ir8SMdN/jacEocnD7RUW+8+TSBdTvN3LGcEbFOt7AGDzWH+FHiybx/rj6MPO3/WCWDdM6GJqbZy3Bfp7W6Ksvo3cZotyM0N8HtGJWDHECzuv5qCqiQtnM11MiXDEg6e1lFHvVUO9wGTQcSOrUw+3dIAHaDT1uh53cqvBYtAwt7vroTHdxce/gItLY1QfJOKbS1l4Wk0o+Hu6mGKIX6cZUl1LB/SlNAKnn5ThSkYFJktlrahrGPUiqGnmahwK1hWG+lvhI4kQK1cLXfi+oKkbSTLKG/H7nXzRSuvF2cBXNXFx9GERFskZ3VY2JtrVwjOtlLBjP6rgRi0PHTYDVz+MhZuFHlgMOt6Pk50Y6eVmBk8rfRyf3wvhUluRTLriS9S+WRG4uqyv3LRcIx0WwpxMyNa+JF++EQgP0fZUdkUT1h5PkTnmczWm0Rh0Gu6IbkCKiHI1Jcc9X2fM9NjYPimI7CIo4uuJQQo9Tt7q6QA/G0OslNB2qCoulfGJSJOx9Ww6Wjv4CHYwQlJRHQBgWqQTGHQafhaJSlcN9QaLQaOEx0W6mCLW0wJCoRBTf+n0IVF30SDuerwRZv/K07ZfR7qLj38Bhtosyp6zqqJ73T8pEIrUpSuHeFMEjvWtHTKeHmuOJaOFy5PZ4olyVV8D8by5kVX13F5fUXrv6SdlFJvmk0mlcm80ynCRulEri4WX5NMTqahp5uIPNcOo1GHtcB8Z0WxKSQNyKptkckaa5GwziNHS0JF1+5tBGh0vRp/DxIWlMXAQiV3beXwErj8vc9yY728jo6wROhwGOCzquassxXjmnnicTiqVK75u7xBg/33ZKZDBvlYYKxJC8gVCfHgoEa0d1FW6n60B9DjKf0cLYt1walEvpccAUCsF9XVg+5vBqG/pkBHySuJkqoPvr8oPjrM04OCjIV4I/LTz779vVgQ+1vDzKGZJnDvsTXTwsKCWLIZ9rA2QWd4EQ20WFvZzw9azGeDyBIh0MUWctwWuZlRSNG/iDBhxzgtAjNZq2vVQ5N7ajXK6i49/Cbtn9iD/X6hCbnAlo5J0DnUw1cHMXk7kczyBkCxMxBTXteKrC5mwN9GhrDRu51S/0or9dk41Jeq9qyQW1cPLSl9lku7T6haNV6EhDlSB7OEHRWpHsvf/4hoW7lNuO60J60+mYsVgb2hJ3aBPJZXCzUJP6SipJCklmo09L97/WO7jWiw6fns7XGFac2M7j9RMCARCig/I+3EeuLasL1zMdFFc14rxO28j9vOruJFVJfPzSbN+lC96u5uhrUOAFUefyL0htnbw5X6OJN0qf76Ri8eFdTLH/DA1DHP+VP5323ElG4O/vqH0GAAK3VxfJxb3d0cPJxOK/4U81o30VejGu36UHy6klJN2AP28LLD2uGLdiDKMdFiYE+MKgUCI9ScIf5Oh/lbk73pRf3fkVjXjn8QS0GhEkSEUgtL1GBtsCz9bQ7Tz+Nh0uvPxN8LUEw53dz2ene7i418Ci0FX6AIpj3X/pJDi0wWxbpQbojwHyF9u5iG5uB63V1AnMdo61MvHeFHIi3rvCulljfjrXgEm93TAH++EY9v4AHwywgcbx/jh1xlh2DUlBFvG+qv+RlIcflAk0+2YGa3e36mxnYf86pbnmsA7f+9DrBwiKzTddDqdPB9eFmZ6HNQ2cyl+CdK4rjoNLk9ACYkbF2KHxXHucDTVxdF5UQh3MkFjO49M+B0eIN/FFyBcKKdFOuG3meGYKWcSSJnR3MWlMWRXMLuiEV9ckPXt+G5yCNafULwa97UxwI7Jwa/MT+ZlE+liikX93eGx5ozS436ZHiZXZAwQ3abe7maUlNq3ejp0OXTvyzcCocVi4HhiMR4X1kGXzYCBFguVje1wNNXBlAgH0nRtfIgd/GwNcexRMWUM/wPRtODUnzu3W04uVN3JArq7Hs+L7uLjX4Q4V0CMskmv4rpW7BS1OPW1WKQ7nzzYDDoEQmDF0SQIhUJ8PTGIfK66mYs47xdjf64uz/PmvPdeAab+Eo+jD4vBpNPgb2sIdwt9WBhoIbFIvnMoQNiJK0K6+3Eru0qjEK9bK/rhj3ee36hrXlUzl+kHpwAA1ENJREFURsix2Vf2870IimpbseTAY5XHSd64gh2M8MUbnXoKIx22jGne4QeKLdEt9LUgEAghBHD8cYnM8+VKBKLiFapAIMTyw0ngSuXDeFnpI9DeUGlOyc/TwzA8wAZ7ZymfZgpxMFL6/OuAtaEWtk8KwldyijRJYjzM5ZrEAcSE04bRfvBZ2+kJcvC9SIXHqyLO2wL9vCzRwuXhf2cI/cnYEDv8/ZjYelkx2AvnU8rxqKAOOmwGPhzkifrWDnx2qtMBdm5fV9gaaaO4rpUy7uunRqyBQCDEptOEZ0h31+PZ6C4+/kXQaDTK9ouqac9vLmcjr4oQjk7sYa/QwpxGI+yDk4sbsOd2PkYH21Kev5hW/tySWbtCfWuHRnkm6nAntxofH0/ByB230HvrFYz9/jb2xXdqAKR/Xg8JfwzpLd+2Dj7lInM7pxqbNeiipBTXo7e7uVpeEupk8Oy5nY/xoXYv1LlUGV9NVCzG/GlamFwNBgBwmHQcmxdNeSynsgnvH3ys9mvvuJKN2X88wGenCE2NNMpM5oZ/ewPJxfU4/LAIDwvqZP7OP08Pkzv+K2ZsiC2sDYnzYOtZ5cZnLztn5UXw07QwVDS0Y8cV+ToOMQEKNFcAsG1CAC6ndxZzg32t8Mk/XdN5AJ0i011Xc1DW0AZ7E20U1LSgrUOAHk7GiPWywBaRKd2cGFdYGmjhqwuZqG0hBNj6HCbm9iUm4KIlMmkuf6Ce6P/Yo2IkFdVDj8PEEjni6W7Up7v4+JcR60mNoFflc/OJSHzKoNOwZWyAXHOsdp6AFL59cT4ThTUtSN8wmHKMk9mrG70FiDyTrho9aQqHSZcRGXpKtNGltQJppQ0y4XjqiNLEfHOZ2B/eOMZP5bFcnkCtUeTpv8ZjjFQR+SzYGmmr7f/y/oFEuY//syAaA3wssW92hFwtTztPQLr0AkTR+e5vCWhs4yHU0VjpBNSN5bH4amIg2Ew6LqaVY/etfMrzyrYsv5oYCAt9DnIqmzH825tYfpiYgJL8Oy+IdUNNMxdtHYqzY8Sj7R18AfarMNl63dk1JQTOZroUx0957H23J769LL84mRbpiHBnU4qF+qggG6SVdi1q4f04D9ib6KCwpgU/XCdEoj0cTXAtk7BN/2y0P369lYfiulZYGWhhVm8XJBfXU5xrlw32hIEWi2K9PzXCkRy7VkZzOw9bzxGFzfxYN7UtErqRT3fx8S/kzsp+5P+r6n5cz6wk28R+toZ4V4H4r7aFC20WA60dfKz5OxkcJp2igUgrbaDEq78KbmZXUUaHXxTScexjQ2xJvQFAdD6MJUZkn9a0yIg5ldltS3MruxqPCmrVNiEy0FJvQmL7pSyFz02J0MzPZNVQbxybH/1M/i/ibQxXcz18NFj+NqD76jPo4AsgFArxwcFE5Ik8SYLsjXBDlN4szfpRvrA30cGYYDv8Or2HzPN+tgYw0pFfsA0LsMaYYDucXdIHA5WkKy/o54aROxSHmk0Ms4exqCi8LGGI9WYPWYHiUH8rlb9HRWnE/wY+GOCBgT5W8FVhn751XAAmK3CxdbPQw6qh3hQL9gOzIzD3r64JsG2NtPFejAuEQiFW/52Mdp4A/raGuJVDnDPvxbjARJeN768Q4uPlgz3BYdLxsYSo1cVMF5PCHSAUCinjwOuVmOZJ8sO1HJQ3tMPeRFuu3qgbzeguPv6FWBtqI0yDQmDDyVS0cInRyiVxHnLb8UIhyFXntcxK/JNYgjfDqTcoRfHqL5MzyWWYoEHo3rOix2FibowrLqV1roRsjbRhLHEzq23mQputuiBQNqXx4aFEpTc3SfKrW5S2stVB07Cx9SdT0NTGeyb/l/G77qC4rhWVje1YdjhJ4XHuq8/gh+u5uJhWDjaDjhlRTkrttf95XEL6lvyTKOsxEuVqhh0KVt+nkkrx3ZVsGGmzsFyBa+U3k4KRqmI1/v6Azhb7hwc7Oz/yJmr6elogyF7551dRGvGrZmSgDRb0c4P/OuWFR6SLKb66KF8LwmLQsP3NIBySSLwdFWSj9JxQxYbRhJPpsUfFuJ5ZCTaTDiMdFsob2uFkqoOF/dyx9Ww6mtp5CLAzxOggWxx6UEgxxPtoiBdYDDrWSWz7/DQtTK0uZnFdK9ltWTXEW+Nx9W5k6S4+/qXs08Ceu7iuFd+J9mW12QyKm6kkkhe89SdSUdfCldl+cX7F2y8AcOhBEcYpCKV6nkS4mODkwl7YeDoNLRKTIpEupsit6rwJZ1U0Yfqv8TJfL20O18EXKkyczalsRlppA4x1WNBXo7NRUtemcuT0eVLe0I6IzZoHlZnrc3BYIiAxestl9Nh4kfz3qqFe0JUjzhXvyy/s54Yfb+Qq7PBpsxhIeFqLiT/cwZknpZRMDjE/Xs9FawdfZosyWCT63HYuA+/9+YCcgJA+7npmJcVaW5oIFxNYif6uLVweadUeZG+EA3Ii5cMcjVFar9if5N9KpIspto4PwOq/kxU6lIoZE2KLUgUBh8sHecHSQIvi4RHraUHx3NEEsci0qqkd60V/w74e5riZTXQ9No7xx8OCWhwSCZU/GeGD+tYO8hwDgHAnEwz0sURTOw+/3XlKPi69naqI/51JRztPgHBnEwx+Cd3Z/w90Fx//UlgMOpYraF3LY+fVHORWEqNrvdzNZMZDpZNWq5u52HQ6DVosBjaM7tQi5FU1axTA9qI48rBIxjjredLb3QxsJgN9P7+KqxmVlOcOyZm2YDFkV0etXD5lq4ovEEJPRWFxYWkMGYKmjKqmdo3+Dm+rOf4riTpFkCoqG9tR3czFVlGUvSSrhnphdh9X/DQtTGHSb3JJPSob5Y9bn1vSB0fnRcFcn4P0skaZlr2bhR5l6kiygJkW6Yhj86KxZaw/2Aw6LqSW45oobEx6r17ZdA0ASojjXQk3U7FVvCRsBh0OJjqUYlYRR+ZGynWnfRX42xrix2mhOJ9ajr33lHfNDr4XSepmpIl2M8U7vZwR9llnAXpoTqRaU1HyYDFoWD+KuD6t+ycFdS0d8LTUR15VM4RCwq8j1NEYq0SuqVMiHBDqaIJt5zNIkSkArBlOGIr1/+Iq+ditFf2gDg+e1pKeIWuH+2ik9+pGMd3Fx7+YuRK5JKoQCDvFpwCweqg3xfuDyxfIaAkOJhThdk4VpkY4Uh6/k1sNawUr+JfJwYQiuRf458GNrCoy+VIVTDoN91fHwcOSKsisbm7HMH9rymPGCrQHAOERYabHgZ2xjlorrorGdrVFbRfSytQ6TpJv3gxWfZAaLD3wGIF2RjKPz+5DnL9Rbmb4ZlKQXPG0orHWmdFO8LTSh7e1AaWzIoZGAzaN8Vf4+/5QVDC8Ge6AQ1JfX97QWeyoEwAoOWotKXSVV7zZGmuDyaDLaDqG+suult/9LQF9Pc3x64wwjRJ8nzcuZrrYM7MHnla3qNQy7ZoSgjd+kJ/FYqTDwhcTgihpxkvi3BWmG6vDxjH+sDHSxvmUMpxMKiWCAK30kVXRBGMdFlYP88a3l7OQX90CSwMOlg/2QmJhHaWAmhHlhAA7I6SVNpB/+x5OxmqNyQoEQrJjNiHUTq1x3G7Uo7v4+BdDo9Fw8D3ZC68ibmRV4WwycRMy1mWTY2lihELItMBXHn2C5naezPaLtAfCq2LP7Xy5or4XhbTnBABsGusPIx02mtupq9mGNh5cpSZE7uXJZomISSlpIHN5ZqpRVKWUNCjsCkhTWKN5m/8vJSvceX1d8WTdQLW+TzOXj0Ffy7pfrjzauToe7GeNQHsjtd/bWjmBeZL0dDZBUlEdiutaZdKcAeKmIUbR/vznEwIRpOI9LYlzp6x0JUWxhXK2EcSeNdITS15WssVFbUsHxn5/G4cfFGF2Hxd8NzkEywZ5YmKYPaLdTF9K+rSFPgd/vNsTLVy+ysmWuX1dlTq/bhsfiEcFtWTWDZtJh4EWq8vXkn5eFpgQaoeGtg5SODrYzwoXUolr3Kqh3qhobCeDFz8d6QddNhNrJBJ3rQy08MFAQq8zZHunI60qnxYx/ySWkEZmHw5UvxPdjWq6i49/OeHOJhqFL316olN8OjzAGv28Okd3G9t5pGJfzNPqFqw/kQotFlUrQpiPUcd+XxX77xdigI9llzUQqgYL9DlMLB3ggSfrBiKznOoTocNmYKCPJbg8gUwhwGbQNPbaOCMqDiNdTV/5qN7FNMVmWrUtHTLbUZqyL74QZ56UAgCeVjcjQ4kHhyRXP+xLueEv2Cu7Gr+bW4PPThFmT/LEm+N33UFRLVEc/HKTuDlJj3Lviy+gjGHKY5BvZ8dCckx4kK8lyuUUhuJzzVPKAfXnG7mI9ZTvvnr6SRmWHHiM+XsfYtu5DBxIKMSt7OouO4Cqi6kuG3tnRUCLSUfvrVeUHutlpY9EOVb0Yhb1c0OoozFla+zvedGkRqMrbB7rDxqNhs2n00lhaVVjO9o6iLyWsSF2WHn0CXgCIQb5WmKwnxX2xhfgSXGn2d66kb7Q12Lhr3udOo9VQwnhqSpauDxSNzIv1g0WBq++G/xforv4eA248mFftY8ta2gj5+5pNBo2jPajdDuK61plskkOJBTibHKZTPLtxbQKRLu9ev0HAFxILYeXlYHC96PMJE18b/K3NUSspznGBtvijTA7zOvril1TQnHu/T6wMtCC/7rzMjfcmdFOMNJhI6WknsylENPC5VNCqcSIx3Kt5FysbolEcjQaDZPDNRuHfVY0cVndF1+AhRqME4uJdjNF2vrOLtrcvx4ir6oZHxxMRAuXj3Bn5fkzb/awp3jOXMmooNxM5CGZ4Ds/1hXWhlrIrmjCmO9v41pmJf4WOaGaSp33D57WUkSJ8vjoSBLpS5EvIUKO9bRArRyTM3GgX09n6nna0MbDWz0dVYZGvizM9Tk4NCcS1oZaCJXQZyhiZrQTbufIT+/t62mOxXEeCNlwgXzs6LwoDP1GdfaNIr6aGAhLAy3cyakmzQGj3cxwL68GbCYdG8f44Y87+XhcWAd9DhOfjvRDVVM7xfwtztsSg3wtwRcIsfpYZzdEvB2oih+v56KsoQ22RtoK84u66TrdxcdrgA6biVVD5Y8JymPn1RykisLDbI20KSOGQiHQ3M6XEVCuOJqE8oY2ZHxG3X65la04Lvxl87iwDndyqjFHjhamtYMPNxVt6ifF9biSUYmjj4pxMKEI31/NwZw/HyBqy2UsPyIroPO3NcTCfoQg8FRSqczzSw8myhXn9XYnVrgG2rKagIT8WnIFPTJIcYbJi8DFXI90d3xR3MmpRlJRHS4u7UM+Fvv5VSQ8rYUeh4mPBnsq7WBJXuR5fAFmSuWFuJjr4uwSxYLdpQM8cXReFLys9FHZ2I7pv8aDyxMgyN4IFyWMpfbPjlDoxCpJUlE9Rnx7E1+cz6BMa9gaa8sdsy2oaQFfIESkq6lM8fnu7wnYPyvileo7ACJh9vCcSNgZ66j08gCAv+dHU4zCJHEw0cHXE4MwY3fnNNii/u74+O+uhcYBwEAfS4wOskUrl09u3Q0LsMa5FKJruCDWDVosBradI+zVlw/xgpWhFracSUdjG1H8cZh0fDrKFzQaDe/+1nkO/T0/GupQWt+KXdcIz5CVQ726R2tfAN3Fx2uCdLWuagW19OBjcq91SoQjOXYIEDdqSSdUFoOGupYOfHAwESw6Hfuk9kOVOU++bARCYNe1HLluoeLE2hGBNjDSeba8mCB7I/z2dji0WAxklTfiZwXhafIyYcRi3frWDtibUJ9v7eAjWbSSdzXXU1kwdQVFScFfXchUqp9R1j0a6GOp1nSMQAgs3PcIRjpsfD6BasP+8XBv/HwjT6mL6ICvrqOxjehkHH0o6+mxaog3jsl5HCBMrxh0GqwNtXFwTiRlWqi8oY0cHw20M0SEi6lKe+xlgzwxyNcSPIEQ317OpuSRmOiywZAzAdXWIUB6WQMYdBrmx8oWehN/vIveHmb4emLQC/nbq8LOWBtH5kbBxkhbZVgcAJxa1Aujv5PvT6PFomPXlFDcy6shtTB0GmCmx9Y4OVmSjWOI7ZavL2Yiv7qFKOKEQFUTF24WepgT44q1x4lx4FBHY7wV7oCE/BrK1NKyQZ6wNdJGZWM7roi6mbpshkqNj5htZzPQ1iFAmKOxjKi8m+dDd/HxGiG5/SJv1SVJelkjvhXZejPoNPxvXACl2yF5A2Az6GAxaLiZXYVfb+Uh0tWUUnDcyKp65eFz0qw+lixyYpR9XycSS8DlCTCrt7PMyLE66LAZCLQzxLJDiYjecllhlPipRb2w861QmcfFhU9TG0+uoj5LIna8r5IUVkk2qOnCCMgfCwaIkdKYbVflPsdm0vHDVNmfRfz9dkwOwacjVb8HBp2GisZ2LDuUiHEhVPv3324/JTUvyvBfdx6tXL5MNyrEwQg9nEzw511i/17aiM9FwlXUQIuF+RKJo5KeFG+Luiu/KjE2A4iC64epYdj5VohMQZdX1Sx3Ww0AzjwhfsZJ4Q4Id5LdZvrhWi6WHHiM7IomeFsbwMtKX64XyrMgr/j2tNTHoTmRMNfnwH216sLjj3fCMewbxSLU/40LgKUBB+/98YB87Pj8Xlh7vOvZLTsmB8Ncn4OkojpyS3NkkA1OibRDm8f640JqOS6mVYDFoGHzWH8IhEKKyNTXxoCckpP0nLm9kprorYjHhXU4+ogocNeO6B6tfVF0Fx+vEc5muir3zCX59nI2KRLzsNTH3L7y45+buXyYiy6uW89mILWkAX+805NyzMW0crj8CwzIJPniQiZyKpsoKb1iCD1GHk4klmBSuAN+nBqq0Hpe3tf+ducpLqVXoLhO/hTJPwui4WtjKDenwkKfuCm18QRkEJkkWRWdwsswJ/WcbCWNkVRRWt+mUmQrDZcnIH0wpDHSYYNBp2FMsK1C0aQYtmjM9EpGJSb+eJfynCoXUUm8156VeWxhf3f8dicfzVw+vKz0kSDlyDtzz32KKPJEomzqLUA4kAKdnTJFOJgSYuIh/ta4tDQG+pzOzs+CvY/wpYK01z/vPUVTOw9MBh07p4TAS0p8KklaaQPSyxpVmnppgoelHuokPC4AQotzaG4kjHXY8Fwj+7uV5uuJQZj6i6yxnpi3o50xIsCGohc5NCcSI3Yon5hRxjB/awwPsEEHX4Dlh5MgEBLCXrEwelK4Azws9MlgurkxrvCw1Mdvd55SAgU3j/UHk0En9VUAMC7ETq30bKFQiPUnUsivCZAzQt7N86G7+HjN2C+1JaIqI+KDQ4loE4WozY91lfGqEFPe2A4zPTa4fAGWHHiEtg4+kj8dRDlG0vXz30JOZTOWHHiM798KwfRIR5nn23kC7IsvwOw/HuBKRgUW9XPD3lk98c+CaOyYHIyPBnthSoQDxgbbYpi/NYb6W2GQr6XS32uctwV5URJnS4hhM+jkRY5Bo5GBfpI8rSa0A/lVzdisQvAoRtWNUpqdU0Lx4UDNUjd/UbC1VNnYjoMJhaDRaNikIs23tYNPjpnGi8aOn4dXS4CdIaJcTfH7nXwAhKW6JC7mumhs42HKL/eQWFgHHl+AM8nEanmblAHakv2PyDRoMfLShCf9eBcFor+VoQ4Ln6kRDAgAdS0d2CiaxDHV4+Dw3KjnGgKoDB02A5nl1HNlbIgtds8IB4NGg9fHqguPlUO8lJqChTubYOVQL4peZNkgz2fSeeiwGWTGyo/Xc5Fe1ggjHRYsDbSQW9kMMz0OVgz2wpazaahqaoeLuS7mxbqhvKENW86kkd9H7OkhFAop/iKfT5A1wZPHiaRSPCyogzaLoZHJYzea0118vGbQ6TR8O6nTHEpVRkR2RRO+Eq3QOEwGvpkULPdCyxcI0cLlg82kI7O8CVvOpEOPw8RP08Iox2nSeXmZzPvrIVJLG3BkbqRCZ9CcymZ8czkbk3+6h/E77+CbS1l48LQWLVw+WAw6OvgCZFc04VxKucLfqz6HiY2ikeSmdh6OP6aurt0t9cjpCyMdltwORF1rBy6klmPEjptkIfK8Katvw5QIR6U6Dk3Ydi4D9S0dCrcaJKmQGkFVNSmQ8dlglYGCC2LdcD6lHFVNXFgacEjxIUCsjv9Z0As9nIzJAmTP7Xw0tPFgrMMii28xVzIqEfv5Vcpj8rY9HhbUYdDX1/HzjVzw+AKKvmdqhKNc4zAx++ILSMGiHoeJryYG4di8KIwLsZNbkD4rYi2DtLPqon5u+GJCIFq4PLXEpe/FuCgdsXYy1cGuKaFYfjiJTIb2szUAh0mndB805cs3gmCqx0F2RRO2XyS2i8eF2JGTLp+M8EF6WQP2xRN29pvH+BP2AKfT0MEnPqsW+hzS02PVsU6B7I7JwWptnbR18LHlNFHIzOvrCsvu0doXSnfx8RoyIpA6JaHqBvPD9Vw8eEqsQr2sDLByiPzJmRYun1zx77mdj6sZFRjgY0lJ6IzPq8HwgH+nAOt+fi3G7byDwX5WODI3UiaJVhIuX4DM8iZcTCvH0YfFOJBQiPOp5TKrRkk4TDr+mtWTvCj9JscjIsLFlDSfsjTQAld0YZS84cTn1WDW751R8i+CH6/nwlCbBQ8lLf+fpQpLZdQ0c/HVxUxKGqi6KPOQWNTfHRwmA59PCISnpeL3GudtSXo1jA62pWyHvR3tDD0OE7tnhpMFiNgDJMbDnGIMtnmsv4wBGAAZW3wrAy1EuJigtYOPz06lYcz3t1HV1DlaW9HYhu/fCpXbbROz5Uw6nFacwufnMnAupQxtHQK8FeGA398Jx8fDfTA2xBZeVvrgyFkMaMKwAGs8luPB8f1bIVg60BM5lU0IWn9B9gulGB9qBxpopEmYNCa6bOyZGY5LaeU49qhT9LtlbAD5++4Ko4JsMNjPClyeAO8feAwuX4Cezia4mlGBDj7h4THAxxIrRQXFpHB79HQxxY2sSkrxv36UH/S1WCipayWLFAAYHqDeVNlP13NRUt8GG0MtzJJjNtjN86W7+HhNebAmjvz/1g7V+8UfHkpCq2hVNCPKCX2l9u45TDroNGoB8uGhJFQ3tePSB30px55MKlW5Un2VfPJPCsbtvIOZ0c64uDQGb/V8dj8NLyt9nFzYi9xuyalsIkf9JBnka0Uq/X2sDVDVRHQBjHVl95tnRjvJ2Kw/641I3JkormvF5fQKhcZQ4U4miPOxVDg1tbCfrD5oz+18XEyrkHN011ksyjbR5TDx4zT5gleA0Ivcza0BnQZwpAyieohEnZIFiBgzPQ7OS4zYvhFmjyNzo2S+v0BqAMffzhD7ZkXgf+P8YaDFxJPieoqw8lxKOfgCIT4Y5Kly63PHlWy898cDTPrpLsZ+fxtjv7+NDSdTcfRhMdLLGtHeRQfQwb5W0OcwZcbAXc11cXFpDIb6W+NKegXivpQvmJakr6c5guyNyG6NNFosOn6ZHobWDj4lnfbmR7EqnVGVYabHxjqRE/MX5zPwpLgehtos6GuxkFPZDAt9DjaPDcD3V7KRW9kMc30OVgzxRkNbB5Yd6nwfYk8PAIjacpl8PH61eiLT8oY2fH+V+Nk/GtI9Wvsy6C4+XlNM9ThYJOcGoYi8qmZsPUfoC2g0GraND6SYjbXzBDDRJUSn4i2HqqZ2fHQkCUKhEImfUK22zySXaezu+bJ5748HiPvyGnq5mSFt/WDsmByMYRp2bexNtPHZaD8cXxANd9HKXOwfIY2ruS56OBmTaZuB9kYoqiVW6NL259vGB8gkbwLEts2zEOXaueUkORoqTXJJPQqqWxROTS2J81CoDwKAlE8HyWQCdQXJkW9HU8WCZvENLtbTAt+ITPQAYkuHLvE99DhMfDsphPy35Ii0v60hGHSa3ORmaWFxWwcfNBoNE3s44NIHfTEp3F5mC233rTwYaLHkhuq9SHTZDMzq7YyzKWVkwq6Y4QHW+GdBL7hZ6OGHazmYuee+gu/SSYSLCYb5W1MmRiSh0YDtbwbD1UKPYlF+cWkMev1PuTOqKr6ZFAxjXTZuZFWSkfVD/a1IkennEwJR1dSOnaKiaN0IXxhqs7D+RCrKGjonmMSeHl9JiIDnx7qS4m9VbDuXgdYOPoIdjDAy8OX67/x/pbv4eI1ZKpU1oCg5VMzuW/lkKqe5PgfbxlN9GOpauDKR8BfTKrDrGtHC//6tEMpzLzPy/VmY+9dDeK89i7L6Nnw60hc5m4bi5MJe2Do+ADOjnTDU3wo9nU0Q7mSC3qJE4FVDvXByYS9cXxaLKRGO4DCJldATkemUuKiQZOkATxTXteJxYR1oNMLOW940DAD8cfcpjj4sBoNOoxQMycVd90cAoLBlLk0Ll48+2xTfOG5mV2Fxf/mC1cG+VtDlMPHhQE+5Wxia8OP1zpV2gRr6F0m7cwBytwBzKuVvnak7WQQAFRLhc+ai1fepRb0pxmSfnUrDG7vuQCjESxOUrh3ug2bRJJckNBpR0H47KRi6HCam/nJPLTFzLzczvBFmT+lmSPPJcB8M9LFEwLrz5GO/TA/Dgr2Kc17U4f04D0S5mqG6qR1LDyYCAIb4WeFCKtFdmxnthChXU3x0JAkdfCHivC0w1N8KF1LLKZ4ea4Z5w9ZIG9VN7dh+KYt8fNkg9YwZnxTVk9+vO7X25fH8lU/dvFRur+hHthml7b/lsexwIs4u7gNdDhOxXhaYEeVE5lvwBELwBEKY6LJRI2Edve1cOvxsDTDUnwgHE7fyM8ubMDbYlpyJ/7fz2ak0fHYqDV5W+ni7lzN6uxMXXnUoqG7BD9dzFIax9XIzw1B/K3x6gsiy8LE2wNy/Hsg9FiCcM410WPhuMlHQKbKuloeXlb5CcZ+kn4UYb2sDhUWQIt4/8BgJq+PgaamPDKm8mzYesX1nqMPCon5uWHei6/kdm06nY1yIHUz1ODiYUKjy+P33qb9/eaZRjwqIEdx+Xha4nN65TSRpw64K6Z8ZIH6P8avj4LTiFPlYfH4N4vNrKB2cF8HnEwLxT2KJ3KyUSBdTbJsQADtjHbRwefBZq1pYChBakYE+lli8/7HCY97t5YwZ0c7wlRh9ntvXFbdzqpUKTOm0zlgDefRyM8OCfm4QCoVYdjgJlY3tcLfQQ1M7D1VN7fCw1MNHg73w7eVsPCogLNTXj/JDbUsHVh7tFJNKenpIjv3e/ChW9S8AotHak8Ro7ZhgWwQ7vBgNVjeyvB5L124UYmOkLZPJoozCmlZsOt0pDlsxxIsi9KtobIepLptsMbMYNAiEwKJ9j1BY04LjUvbERx8VPxdNxcskvawRyw8nIXLzZTitOIW5fz7AjstZOPaoCFfSK3A7uwoXU8tx8H4h1p9IxeCvr6PPtisKCw9bI21sfzMI+dUtZCGXUtKg1OUxxMEIJxb0QrSbGakLUQcfawONpwo0LTwAQmCaXFKPxXHuMs9dzagkC9DJPR3hZKr59tulD2LI/w/97CJ4fAF2XMlW8hUEDwvqyP8fE2wrd5UqFg2HO5tgUnhncXn0YTHu58umDisSJte1yGa3AMCJBb1kHuOrmDrrCsP8rfHnOz0xKdweHx5KxHUpHxYajZgC+evdnrAz1sGjglq1C4+3ejpgsK+V0sJjqL8VVg31xtRf7pE+JB6WevCy0lc4li1G2a9Dh83AVxODwKDTsOd2Pi6nV4DNpCPazQw3sqrAZtDx9cRgpJTUk0aJn43xg42RNj4+nkz5vIg9PSTfz9QIR9gZq3dOnn5Shvv5tdBi0btHa18y3cXHf4CNo9XzHxDz170C3MgiLmRaLNnx26yKJlLPIRAS++i1LR2Y+9cDtHXwkb1xiMz3e533Sc8kl+Hz85l4/0AiZu65j8k/38O7vydg+ZEk/HorT+nN3s5YG3+8E47C2laZ8U0x0um1PtYGOPheJOxNdPCwoFbpDUAaaaMuRW6m0rwXo7l6/5tLWaSYU5rvRIUCm0nHR4PVa2+LYTPpcDXXw6zenSO4M3bLahMC7AyVfh9Ftv/51YSHh5OprozZ1tRf7uFqBlU029DKQ4wcp9mg9RfkJvH62xnK5AttHuuP1UO95X4fTYjxMMf2N4NwcmEvtHbwMeWXe5TJDTGjgmxwZ0V/zIwmNC/bzqVjzPe31XqNOTGuiHQ1VRoc2NfTHF9NDMKa48mUaaFt4wM1Ol/l8cv0HjDX5yC1pAGbTxNbQ5PDHXDgPvFzLhvkCXsTbSze/xgC0ZbWqCBbnEgsoYhrxZ4eDW0d2CDREVqvphtwWwefXIjNiXGVawjYzYuju/j4D0Cj0XDh/T6qD5Rg+eEkNIgyNDyt9LFKavy2pK4NJrps8AVCMOg06LIZSC5uwOpjyWDQaYhfRVWR/5NY8q/KgHkZMOk0RLiYYsbu+5T8CwMtJsUPo1LK92LvrJ5g0Gk4cL8Ab/5AdQFVB0mhsDqeEf29LPDRIC+FHh0GWkycXtRbZuvgYloFxZ5akvOp5eSNebCGk09aTDq4PAFWD/MhH7uZXSVz3BcTApVqKaSNxgCijS42EHM200WtRPfC2UwXbR0CmXHh2hYu2b2R9sAZsv061h5PlumCLBvkSemYrDz6BPWtHfj+rRDkbxmG+FX98fvb4Xizh73Cv5GHpR4mhTtgwyhfnFzYC4lrB2JEoA2WHkzE8G9vUraMxHhZ6ePA7AhsfzMYVoZaqG/pgNOKU/g/9s46vKmDbeO/SJO6u3tLWyilpbjDsG0wxpAJPoUxd+YCc98YE2RjTGFjY7i7FCheCqXUqLvGzvdH2tOeJhXY9r7b++V3XVxb0yRN0jTnOc9zP/f98XbzWyqteWlcLH4uNsz7tu3Co3+4O4tvT+SL3ZckwYl7nhjCuDZyXjrLIyMi6RPmRq1Gx/2rjqLRGxgU6cHRrDLqtHr6hrkxu38Iz/96mpyyOvxdbHhxXCyFlfU8+2uzIDbQ1ZZHRxo7FS21KNseGdRpzcanOy6SW16Hj5M1d3cy6dbCX4el+PgfIcLLwWRtsz2uVNTzUotZ/fS+wRLrbI3eQL1Wj0ohp6JOi7eTNXIZ/Hw0h28OZuHpaM3yWdKI9pO5FSZBav/L6AwCP6XkSNJO5w4JY86AUIkSvyXJwa4o5DIe+O44T/x8slM6nRWtXuevZ/ciojGUzMW2Y8HnoCgP5HKZ2RA8MK4pxvg6MjTas8P7asmnO4zdj6vRq4AxXn5pY67K7sfNz+YDXW0J97Rv16vlxd9MM0TqtQYx2dTX2Zq6FhlGK+f04oZ4X9GUqomCynpxk8mqVQFmEGDF/ssMfGM7724+LxYhCrmMFbN6MazFa/bR9gvEPr+RtzamUVqrYUCEO4tu7sapF0eSuWisyb/1Dwxket8g6rUG7vjyIPEvbeLRH1PNjnBCPex4f0p31s0fQK9GE72vD1wm/qVNJtdti2Uze3KpuKZdJ9LkEFc+n5bEb6l5klXyo8+O+NObLf3D3bmvMW/n5d/PiKu0/i42nMipwNFayduT4vntRB6rj+Uil8H7U7rjoFby1OqTki7Wu5PjsVcrJTqhG+N9CfXo3LbY+YIqPml8/z4ztgs2f3G2joWOsQhO/4dYfHsiYU//0enr/5SSw4AId8Z1N87O37wlnlHv7RZnqrUavdHATG90B43zc+RUbiUv/XaaGB8HBkV6MK1PECsac0fKa7UEudmZrJX+fyExyIVvDmS1K2wMdLPl+g+NzqYKuYyRsV78cbL9sLXW8/VILwf8XWxIL6zGqoMNJ4AjmWVMSgowyUJpQtk4upmcFMDmFp4YLZk7JMzk7Pr3E1d4cnQXPt3RubNugAhPe9ILq3l/azrjuvsR4GqLj5O1iVB2aLQnMpmMI5nmHzMYx2W/Hs9lXPfm7kjTa6+QG63t61s4flop5Lw/uTvejmrJtohBaO4m1esMuNmpKGkUXN/eO5DDl8pIK6ji/a3pfLE7g4mJ/tySFECcnxOfT0vim4OXJWFqH22/IOpXPB3U9Ah0wdNRjVIuJ7e8lkvFNe2a2bUkzMOO+4dGcEO8r9iZqqzXSs72O8OWhwey4JdTHMgw1bw00SPQma9m9OTApRLJ9suRBcPps3Bru/evkMva1b04Wit5b4pR5/HHySusOpSNTAa39Qri/a3G9djXJnRFb2gOibt/aASJQa78cCSbrS26QPcPDScxyNUYPtjicb4/pXu7j7EJvUHg8Z+aNmi8LKm1/yUsnY//IRRyGZuucvzy8A+pYm6Iu73aJAOhTqsXdQXnC6oJcLVBqxe495ujFFbV89I4qd4kNbv8H21A1h7+Ljb0DHYhKciFvmFuxAc4kxjkwoQEP6YmBzK9j9FSu2V6aktSLpdJCo/nb4gxMfH6KSWHyyW1+DnbcGO8L1vOdGza1TrwTaMz4NfYxTC3lWHucbUVggZGAakgCAyK8jAbvjW2mw+39w4y8bnQGQSeWXOSPReKG5OT2899AfBzsaFHoDO1Gj2vrDN23sx9+Dd1YVJzygGYlGQ+nfiB746LjrKAOEp0tFYik8kko6R6rR65XMYzY2NMtDInciqI8LRHbxBwazHW2n+xhLX3G3OAor0dqGkMHbz+wz2Mem8Xb29OI9rbkd2PDzHrdlpY1cCG0/ms2H+Zr/ZeYuPp9l10mxgd583KOb3Y8vAgxif4oZDLEATj6321hceRBcMZ+8GedguPeH8nls1K5mJhNTNb6G92Pz6EO7481KERWkeC2yXTknC3V5NbXseTjWnFt/cK4qej2RgEY/7M6DgfHv4+lap6HQmBztw/NJycslpeXNtc2HXzd2J+ozFd4ivNrq3rHxjQ6XHL8n2ZHM82btC8Mj7Oslr7X+Kqio+FCxfSs2dPHBwc8PT0ZPz48aSlSV0eBUHghRdewNfXFxsbGwYPHszp09cesWzh6oj0cmBqcue3T/QGgbkrj4rup4OjPLm7lbWwVi9gr1ai0Rkor9HiZGNFYVUDc1ceRas3cGnhGMn115/K/0vCxP4uwtooHnLK6jicWcaRy2Xsu1hCanY5KZfLWH0sl1WHsli+/zJ/nMwno6j9gD07lYIf7u7Dx9svmjXxGh1nLGDWHMvt1NiltRZDozN0KqGzidzyOpY0GjiZo7CqgdN5lVgp5IyKNS0cXWyt8HGyMTuWaTojHR3n3am15R1pRYyM9UYuM3ZOUi6X8dsJ0/TZnsGuVDfoSG8sjJvm++YY8MZ2NI0Hx4bGMUuTQ2VLvUVLJ+C3J3WX3McnOy7i3pjsbBCaX/OLRTUs25vJ9d18Wf/AAJbPSmZsNx9UCmOWycfbLzLps/0MfXsHBy+VMryL1zWnP/cIdOap0dEceGoYn96eSL9wd/HAuPN8ESFP/dHmxpU5QtztOPnCdSS9sqXd4iHGx5EVs3pRWNkg0XSsf2AAL/525pq2pVry6HWR9A51Q28QeOi741TW64gPMApFs0sbdR03xvLpjgscyizFTqXg/ckJyGUyHv/phLhpo1LKeXdyd6wUctafvCLm2AyK9KCLj2OnHkt2aa04TnpyTDTeTpb8lv8WV1V87Ny5k7lz53LgwAE2b96MTqfjuuuuo6am+cP4jTfe4J133uGjjz7i8OHDeHt7M2LECKqqrj10yMLV8Vqr9E1zQXItSSuo4rkWYq7HRkbRP1wq5tMZDDhaK6lq0CEIAiqFnMOZZby67iwymYy0V0ZJrr9sX6Z4hvJP42Jj8eBmp2JEjFenP7haE+FpT1c/6UZGjI8jX87oyf2rjpqs0Aa52XJH7yAOXSpld3pxh7bcTXwwJQHHVtkjig7O1vqEul1VCGCTuNGcA+w3B7LQ6Q3trnTP7Bcs0b60x7qTV7i5h7GT8cB3xyioNF01Tiuo4lRuBYIAvk7WKOXtv4cjF6wHmouGpjNxW3XzLD+/xWjHnJakyaDtQmE1A1uIpxeuP8ehS6XIZDIGRXrw8a09OPj0MN66JZ4b431xsbVCqxc4l1/FlrMFnU5/9nexYVx3X14ZH8fBp4ex+r5+3D0oTHJAPJZVRvCT68w66rbH/UPD+e6u3nTtoEvSPcCZlXN6UVTdwPB3doqXr7qzN98ezBKdRq+VARHu3DfYqPP4aJuxuLBXKxkZ68Wvx/OQy+Ddyd25WFTDu42Bci+NiyPQzZZvDl6W6Imeuz6GMA97NDoD965sNjhbOqNnpx6LIAg8veYkdVq9cQ2757/LIuB/javSfGzYII1jXrp0KZ6enqSkpDBw4EAEQeC9997jmWeeYcKECQAsX74cLy8vvv32W+6+++6/7pFbaBOZzLiNkvyacU6r0RlQymXtJuD+mJJDcogrtyQFoFTI+XBqAjd81OzkWa814GhthUEwCgYd1Eo0egPL9mUS4WXPbb2C2PPEEIko7YOt6Tw8IrLdlv9/k5IajUTjML67LyHu9jjbWlFc3YDeIFBep6VBayDA1YZAV1tsrBTUavRcLKpm27lCTuZWAMbNF6MTqpwpS0w3WAZFeqAzGPj6gFEf42qnQqtvFkc28eltPSQfrGD0W5jbwk3STq2QWIybI72wiutivcVY+47Yf7GE+cMi6NPCbbUlhzPLGBTpibejtVkxbY9AF/Hg0REnciq4JSmA307kmXWKBRj/8V5eblwh7+LjSF656fUGRXpIRlJP/HSCWY0Juk3v9Zbrky1/Vke229vTikgIdOZYo6/I1M8P8OvcfsQ1FpsudiomJvozMdEfg0Egt7yOtPwqzhdWUVylobxOQ2WdFplMhlopR61U4OWoJsDVlgAXWyK97PFsJzU1Nbv8mjdLVt/Xl6p6Hb1ea1+nMSDCuNWSXVbLqPeabdM/uyORw5ml4nv1WvF1subdyd2Ry2XsSCvkvUZtx8x+wXzSqB+6d3AYMT6OjPlgN3qDwPXdfJjQw49LxTWiYR8Yx3BNfkItV9pX39dXYq/fHquP5hp9RJRyFk3o2unbWfh7+FOC04oK4wevq6vxLOLSpUvk5+dz3XXNOSBqtZpBgwaxb98+s8VHQ0MDDQ3NZz6VlX+uxWfBiKejNY+PiuKNDcYWY1uFR0snwmd+OUU3f2eivB1wsVPx2R2J3PzpPuobW9mFVQ3E+DiSVlBFVYMOO5WCGo2eZ385hY+TNUOjvfjpnj5MXLxfvP93Np9n3pDwThlI/RV0VGS1xy/HTdv/LrZWjfN2o56g9aZEE7YqhWgw1honGyt2pRchCEZfjiA3O1Fn05Kh0Z4mhccdvYPEtnMTnSnmiqs1XC7p3Bk4wLHsMjQ6Q5vmUetO5tEnzI0bu/uaHeFcLqll9dEcM7dsZkCEu+gZsfLAZWb1CxHDvMzRtJUR4m5ntvjYeb6Icd19xWTT749kE+RuXJmtqtciCAJBLQzQ0gul3ddHRkTydqvX0kohE3/Hx1oYmukNAtd/uIelM3syJEo6fpLLZcaiwtWW4VexcdYag0Hgyz2XePWPa0uIVSnkHHx6GB9sS2fp3sx2rzu2mw/vTupOWn4VN3zUHAz32R2JFFU1dPge68jBFODLGT1xt1dzqbiG+auOIQjGRO4/Tl6hukFHrxBXHhoeydNrToo6qFdv6opBQLL142Jrxes3d0Mmk7HzfJGYwxMf4EyPTjqSFlc38HKjxuiBYRGd3oqx8PdxzYJTQRB4+OGH6d+/P3FxxjOU/Hyjat/LS/oH6OXlJX6vNQsXLsTJyUn8FxDQObtrCx3T1O5swsXWVCdgEBBFkRqdgftWplDTGFYV6+vE6zdLBahnrlSKqaG1Wj3u9moMAsxdeYwTOeUkBbvy4dQEyW0+2n6BeUM6H4L3Z2gqPJrm93+WslotxdUaSmo0bRYeYOwGtUVFnRZBMI5p7NVKs4UHYNbXoaufE5mt2vgtD9jtuYvuvWC6AuturzKbx1KvNXAqr4LXN5jPA/nmQBaCIDC+u3nfjSdXnyCnrA57tbLNcU9L6+pz+VWSwqA9Qj3sJSMdayu5KO7cdb5I4i/TVGxr9QLltVqJ/qJlMQEwuafpZ809g8LaHcPNXHqYp1aflMQP/FlO5VYw8t1dhD79xzUXHvcODuP0SyNJenVLh4XHbb0C+WBKAidzyyWFx7KZPdHoDG0GzDWhVso7LDy+mJZEFx9Hqht03LXiCJX1OnoEOlOn0XGxqAZvR2s+urUHm84U8MORHGQyeGdSPE42VnyxO4OUFptZb0yMx8NBjd4gSMZPq82kE7fFi7+dobxWS4yPI3cNvHrDPQt/PddcfMybN48TJ06watUqk++1Vg8LgtCmovipp56ioqJC/Jed3XG+g4XOc/KF5i5UWa0WB2vTZlfL38zFohoW/HIKoVEpOa67H3P6h0iufzKngsQgFwTBeIbp42RNnVbPrGWHyS6t5YZ4XxOr4o+2X2DukM4b+XQUktcRxdUNKOSyNjdT/lPIZcaiI9TdjvTCaspqO58vAtA71K3NoDSAzE6EsbXk2etjSAoyf7Y4p50UXDBaxnfxcTCbdtu0STEo0oMTjRsqrTl0qYR+4c1jnQ+2mnbD7FQKjiwYLrkswNVGkjrr72LL02O7EOfnSFmtlso6rYmLLEB+ZT09WjzX49nl1Gqai0RPR2uGd5GeKH2x+xIfTOne7sbWqkNZ9Hh5M6/9cZb0TmwbtUajM7A2NY9+i4z2/td/uKdTW0ttseXhgUxKCiDimfUdbp3MHxpu1JhcKuHmT5s7lN/e2QuDILTregrGwq+jzZenx0QzPMYLg0Hg4e+Pk15YjZejmoRAF7acLcRKIeOT23ugMxjEnJb7BofRK9SNs1cqJYF4U5MDRP+isR80j4ZWzunV6TydrWcL+C3VqC95/eZunVpPt/D3c02/hfvvv5+1a9eyfft2/P2bV+C8vY1/sK27HIWFhSbdkCbUajWOjo6Sfxb+OhysrXj7lub02tYaAzBtn645litaHYMx/6Vl8mqNRs/lklpC3O1o0BnQ6g34OdtQXK1h+tJDlNdquG9wOBN6SM+Sv95/mXsHd64A6cwWSEfoDQIZRTXYq5VmA8j+ThytlQS72RLoakt6YbVEhKiQyzolNnW1UxHoZms2I8bcwbYjBkZ6SIyYWp8PtDybbzIxa8nu9GJRdNkWtiqFOKZrzYGMUsnBvnWMPRjN8tzt1ZJtqR1pRRKxqK1KgVqp4ONbe+CgVpKaU2G225KaXY67vZqQFt2P7eeka8vP3xAj+bpOq+e+lUd5Y2I3SS6MOZbsymDEu7sIfnIdkxbv5/0t6ew8X8SZvEoyiqo5lVvBljMFfLA1nUmf7Sf4yXUEP7mOyAXrmb/qmNnnfzVM7xPEhVdH88uxvDat/ZuQy+CFG2J4+Loodpwv4tbPD4rf+/nevlTWaZm1rP3i00GtbPN328Qtif7cOcDYWfhw2wU2nSlApZAzrU+waCz3/A2xxPs78/D3qVTUaenm78SDwyOpqtdyX4uxY5CbLQsaXXC3nysUYw6C3GzpF27qbmuOqnqt2Mm5c0AoXTuw7Lfwn+Oqig9BEJg3bx6rV69m27ZthIRIz4hDQkLw9vZm8+bm/WuNRsPOnTvp27fzLTILfy03J/pL3C3VHWy/ADy39jRnGg96TQJUP+fm+yiubkDTaMhUXK3BRqXA00FNRlENd644Qr1WzzuTukta2JX1On5OybmmnJE/Q3WDzrjXb61kYKQH4WYOrH8VKqWcYDdbKut1ZJbUmnQmFoztwiPXRZroUu4dHGYyFmsaC3x3SLpe+cyYLiaW7Z3hlXFGT4OmbpC8jW7k93f1pqeZg/nPjZqO9sZPHaltTuZUtOta2vTeXDC2i3jZl3sumR1zBLnZ8cGtCchlsO7EFZN2+pOrT6JttO9uYt1Jqa4nwNXWZLU8vbCa2cuO8MzYGO4f2rlx4aHMUt7dcp7pXx1izAe7Gfr2Tq7/cA9zVhzhnc3nOy38BWNRaK5D2ZL1Dwzg0ZFRhD+zvkM9lYO1kqUzk5nRL4RVh7IkPh6/zetPdmkt93xztJ17AGdbK6oa2h4tgtG999WbuiKTydh0Op93txh1I3OHhPPlnksYBJiY6M9tvQJ5Z3Ma+zNKsFUpeH9KAkq5jCd/Pila44NxC8ZOraS6QcfMZc2PeevDg0x+dlu8vuEcVyrqCXKz5cHhkZ2+nYW/n6sqPubOncs333zDt99+i4ODA/n5+eTn51NXZ6zgZTIZDz74IK+99hpr1qzh1KlTzJgxA1tbW2699da/5QlY6By7Hmu2sW7ohE+ERmdg7rdHqWo0bXKzV/PZHYmSwiW3vA4blQJrKzkXCqsJdrPDQa3kcGYZj/yYisEgsP6BAZL7LaxqYN2JKyajnP8EVfU6dp0vIqu0lpGxXtySaN646s+g0RnMjkJeuCGGMy+NJK+8XtQlNLFoQldUCrnJSGZqz0BO5VZI9CTDoj3xarGKGX8VHZ0m86yAxsRP6zaK0F6hbvQyU3xcKKymVqPjXH7bovDWhmitWXM8t10fmoONB+nWHbqDbRy8h0R58vQYY6Hyxe4MnmyVURTxzHrJCOWPk/mSLgrAw9dFYtvKXvtQZil3fHmQ23oFsfj2RImGKNzTHt+/wR9CpZTjZqfCycbKbIcSjAF2lxaO4WJRdYdrtACh7nb8MrcfgyI9eHrNSUkc/YYHB3A6r4IHvz/e7n2426tMAvpa4+tkzeI7ElEp5aQXVPFQ431OTQ5g27kCSms0xPk58sr4ODaezhfdchdO6EqIux3L92Wy7mRzaNwDwyJEMWnc881Jvd/f1RtlJ8cmhy6V8s2BLPHnWCzU/1lcVfHx6aefUlFRweDBg/Hx8RH/ff/99+J1Hn/8cR588EHuu+8+kpKSyM3NZdOmTTg4OLRzzxb+buRyGVsebnY/rajTdtj6v1Rcw1OrT4r6jzg/JxZOkLpY5pTV4WanRiYzfmDH+jlipZCx7sQVFjWKFzMXjTW5zfa0Qmb2C76q59BWMFpbtHX2qNEZ2Hi6gB9Tcuji48jMfsHcPTAUn7/4gHJzD39WzunFxdfGEOPrRMxzG/lqr3Sb5JkxXegd6mayQTIo0gONXs/1H+6RXD5vaDjzW8zl7+vkGAsQjbg8HZsPpHatPpCbEkHb2iJYfzK/XafMjjoygmDM1UhuIy0X4Fx+Zbu6grpW2z+z+4cwKckfg2BM253VT1rYTl5yQNK1W7pP+jtQKxWsmy8tksEoUL3+w90o5DK2PTqIWf1CxEI7r6IemczouNkj0JkoLwciPO2vWquklMvo6udEjI8jtioFJTUaswf6mxL8OP3iSEbFehPy1B/tBsM1MSDCnTX39SPMw57r3t0pCYnb/9RQ9l8s4ckWxYg5wjzsKK5uX1wrk8HyWcm42qmoqNNy19cp1Gj09A51RasXSM2pwNnWik9vSyS7tJZHfkgFYE7/EMZ19+NYVhkvr2sW2nYPcGZeY8epZX7P+O6+Yq5NR9Rr9aKT6pSeAWZDCC38d7mqVVvBnF1jK2QyGS+88AIvvPDCtT4mC38T4Z4OkrXXzqyk/n7iCskhrkzrEwzAhB7+nMytkCjqc8vrCPWwI6OohgMZpSQFuXDkchlLdmXg52zD9L7BXFo4hpCnmnNnLhbVYKWQX9Uabn5lvfhzOkNVox9Jg94gHnhbc/ZKJWevVKKQy0gMcmFqciAudipqGnQczypn89mCDkV8YPwAHhzpQd8wd5JDXIn1deRKRT0bT+fzxM8nzPpZzOwXzMx+wdzy2X6J+yYY126Hv7NLctmwaE/uXJEifu1orZQIKDtC3/j369VYxNVo9Pg521CjaSnmtBH/62RjZZJTc63bGC1ZeTCLN27uxqFM80XMwj/O8XKjbb9aaSpwbP2YZDIZL4+P41JxDYczy9h2ztQYq6W+YumeTKb3Cca3RUES4m7Hb/P6S7Y/wLiyfOeKIwyM9OCREZHMHxbOqkPZrE3N4+yVSk7kVFzdkwf8nG2I83Oksk5HeZ1W9IoxR0KgMx/d2gNfJ2te++OsJJOmPWb3D+Gpxi5Q8JPrJN879/Iovtp7yaQD15pQdzvRkK89ls7oSYSXA3qDwAPfHeNScQ1+zjYMiPDgzY1pyGRGozwnWyumf3SIGo2ePqFuPDk6mvJaDfO+PSb+jdlYKUQX01OtPmfendy9U88djIZmGcU1eDioeWpMl45vYOE/jiVY7v8Zj46MumrPjed+PU2Ep4NoQPX0mC6cu1IlOkKCsUvSFDyXklVGFx9Hzl6p5IXfTuNsa8W47n5kvDaG0BbBd+fyq2jQGXj2+hhe/v2Myc81R0ZRDb5O1uRVmE+NbU3TnNrHyZpajb7N0De9QeDQpVJxNu/hoKabnxNzB4cR4+uEr7M11lYKBMF4VmVtpUCtlGOnVuJmp6K8TkteeR1n8ir54Ug2KZfLRIGcOSYl+bNgbAwLfjlpsgIK8Pxa00iCra1WcRODXNpc2zWHofED3l6tRNUYa99a9JhZbBwZyWTGM/LWUfdN2osFY7vw9qbzJkVTax4bGcXH2y+IVthgDCAsqm67Q7LzfBHb04zPVa2U8/rN3SSjgcKqBpMNOrVSwae3JzLuo70dbgBp9AZeXXeWj2/rIbm8q78Tv87tZ9bca9f5InadLyLe34mbEvz4+NYE7NRK9l4oJr2wmguF1eRX1FOr0VGnMWbIONlY4WRjhaeDGl9nG2o1ekprNGSV1rLpTIFZ6/0m+oS68eYt3fB3seVYVhn9Fm1r9zk1YadS8PL4OCb08Ke8VkP3l5r1d7YqBadfHMkbG9M6DAP0drTulFPr8zfEMLjR9+TtTWnsSCvC2krO3CHhvND4Hn70OqNj8l1fHyGj2Pj3+9GtRvv0h39IlbwHn7shhhB3OzQ6g6Trd/y5EZ3OYDl7pZLFO43P7+VxsVcVRWDhP4el+Ph/yNmXRtHluWa3WpVC3uF2yV1fH2HtvP6EuNthpZCz+I5Eblm8TwzJEgS4WFgjukJeKKwi2M2WzJJaHv4hFaVczthuPiYdkEvFNXy5O4M3JnaTJFS2R1PhEepu12kr66bU1O4BzhRVNXS4aVBU1cDWc4UmB/ymuXyTWFNvECit0VzVds6j10Uyd0g4b21KY9Whq1stD218/dMKqhgY6cH2tLY1FrYqheSg39Jm31alMNsNavm6xPo5mhQfYOzy3Bjvy8FLpW2m4DYxKs6bnLJak+f5oZk1W2g2Intrk/GsXKM3MD7Bz0SXUFytMdn4cbdX8/XsZCZ9tr/DUcG6k1cYdjSHCT2kup/4AGcOPj2MqUsOmH1vpeZUkNrY7fBxsia8cY063t+JXiGuWFspqNcai9zyWi2XS2s5dKm008XyxER/Hh4Ria+zDVkltSZdi/bo6ufEB1MTjJkuORWSLs6QKA++mN6TeauOse7ElXbuxTiuNOdi25rbegWKW0m/n8gT/WeeGBXNR9vS0egNXBfjxb2Dwvhw2wW2nC1EpZTz2R1JuNmr+WTHBYm3zfXdfJjSKLJOfLm5aFp8ew+cbU29acyh0xt44ucT6AwCo2K9GRVnSaz9p2JZeP5/iI1Kwbdzeolfa/QGk8TS1lTV65i97DAVjfNoJxsrls1Mlugw6rR6sktrSQxyQasXyK+sJ9LLXmzHbjydj0wmMwmiy6uo5/X15/j4VumZaEdkFBuLnavheHY5ueV19Ah0bld30BYanYErFfXklteRW15HfmV9pwuPAFcbVs7pxd2Dwnji5xMmEfUd4edsw4e3JpBRbCz4+oe7s6sdgecLN8RKvrZrEbJmpzJ/3tEyjya8DRdIb0drPB2t2/QLaUmImx23JpumvbZ1cHtweCQO1kpRcNmgMyAIgklcelap+aIz1MOeFbN6SfQ+bWl5nlx9UtzoaomXozVbHh7EK+PjzNyqmSsV9exOL2b5/su8tek8r6w7y4JfTvHKurN8uO0CXx+4zK7zRZ0qPN6f0p3zr4zmrVviUSvlxDy3gYFvbu/wdk3M6R/Cz/f2JcTdjve3pEsKj4eGR/LRrT0Y8taODgsPVztVm2LXlozp6s1LjdtTqdnlPPaj8cRhdv8QNp8pIK+inlB3O96eFM/2Ftbqr46Po6u/EwcySiRjn0gve9HFdMmui2LHsmewy1UVEEv3ZnIipwJHa6WoX7Lwz8RSfPw/pW+4u8SHoy1ZQ8vtloziGu5dmYK28WDr62zDslk9JR/0xdUaymo1dA9wpl5rIL+inm7+TugMAvO+PcrWswVmC5CSGg2P/Hicz6clXdXzOJZVTrS3A4GunXPLbOJoVjmHMksZEePF2K4+bSbd/hU4WCuZPzScDQ8MxNNBzcRP9/HDkfatyFt3mP2cbfj+7t4cySxDqxeI9XXkcjvjhQBXG8JarBSrlHKJuVLrsMGm36Gk+GhjJblJM9JRYCEYhc5d/Z2I9e2cf8/2c4USN1xBMBa1rV1HWxpktSbG15FvZjcX11cq6nljYjeT62l0BsZ8sNvs6EremNWT+tx1JoZ5fwUymdHw7eDTw8hcNJZx3f3Ir6inx8ubSXxli6Rj1R5udiqWzuzJgutjUMpl9Hh5s7jiCkbX0inJAcQ+v7HD4D8/Z5tOObcOiHDn3cndUchlXCquYdayw9Rp9QyM9KBWo2ffReMK7Wd3JFJcreHB748jCDCtTxC3JAVQVNUgEU07qJUsvj0RO7WSyyU1vPZHs8nY93f16dTrAHC5pIa3NxsLmmfGdmk3O8fCfx9L8fH/mJbmY4DJuiEYzzxbJqruu1jCc7+eFsXH0d6OLLkjSaLyzyiqQSaDaG8HKut1FFTWk9TYDbn3m6PsSCtEJpOZbMHUaw3cueIIX06/ugLkXH4VWaW1DO9iGvneEZvPFLDu5BUKKxu4o3cQdw8KJTnYtdOJs+0R4+PIU6Oj2fvkUGb0C+GDbemM+WC32LY3R3KIK7f2CjTRA/wytx9+zjZ812j+dn03X+asaNsUat38AZI8FI9WdvOXWo0UmiLoS2uaNTFt5V80bY50dKBq+fuYYsbK3Byf7brI1F6BUk+ZKo1ZK/Z9ZkZCTcQHOEvWvB//6QSr7uxt1jxt+Ds7OdKG+NXJ1or7BoeT/upovpndi8lJ1x7/MDU5kC+mJXH8uRFcWjiW2f1D8HK0Zvu5QoKfXMfAN7dflW37qFhv1j84gCFRnkbR99N/SG6fsmA4Xo7WHQbMgbHQ7IzpWY9A58aVewWFVfVM++ogJTUauvo5Ee/vxKpDWY1W6d3xcbbhrhVHqKrXkRTkwoKxMWIXtLDFVtTbk+IJ9bDHYBAY9OYO8fL9Tw3tdPibIAg8tfok9VoDfcPcmPQnfk8W/jNYNB//j5HJZJx7eRTRzxr1H7UaPV6OapOI88p6Hc62VuIK4KpDWYR52DGn0cmwT5gbb0+Kl1gzH8sqp0egM0FutlwuqcVWpaR3qCsHMkq56+sUvprek/4R7mQuGmsy15693FiAzO7A7rs1W84WMiDCnYo67VVvIVQ16MQUz2A3W+4aGIq7vTFP4mRuBZdLa8krr2tzldROpcDPxYZu/s5083eif7g7Ie52HM0q562NafyUktPh2ewX05KoatDy0PepkstPvHAdjtZWbD9XyNkrlVhbydl53jQHpiWO1laSg0lHa8RWjR/yLbdnnGyssG80eWpJeZ3xAHcgwzQ7piUt2+U3dvfj1T/OduiQqdULrDmay5Ojo8X3U0pWKTclmHqy3PrFQc6+NKpN/4YuPo58clsP0TVz6ucH+GBqAgUV9SZbOxMX78fP2Ybtjw4229GxUsjpH+FO/wh3Xp/Yjap6LWmNRW+TvkOjN2BrpcBGpcDBWkmgqx1BbrZ4O1qbHETzK+p59tdTHWpmzOHpoOalcXGMavQvWX00h4d/aH7PxPg4sm5+f3aeL2JGC0OxtkgOce2UCVqUlwNLZyRjq2o0/lp6mOzSOoLcbLkpwY+XGkXjz46NYWSsF3O/PSpaq39yew9USjnvbEpj38Xm983cIWFcF2t8HmNa2Ke/Mj5OkkjcET8eyWHfxRKsreQsnNC10+JUC/89LMXH/3OsrRT8MX+A+IdfUNkgKTSaKG/MhWmaB7+y7iwh7nYMa7TLviHel4LKel5psa9/NKuchEBn6jR6LhXXYGOloFeIKwcvlTJnxWGWzkimT5gbmYvGEvvcBkl66+zlR3jtpq78fiJP8mHVEU2pqTcl+LHmWO41vSaZJbWS8LakIBeSglyI7ROEt6M1KqUcFzsVVnI5MplR6KiQyyiorOdKRT1pBVV8sDWdw5llnTqbnNE3mEdHRrFif6bJ+uOBp4bhaG1l1D1sNUbW12sN7XptNHG+RV6IT4tOgrmz/CY9SE2rQsPLUU11kfSyvRdKqGnQmd3SaUmUV7O3j5ONFWO6+rD6qOnvJNLLXhQug9GrY9fjzaZ4D32fyk0J/nT1czJZS+3y3AaTDlpLxnT14bZegaxs9LiYv+oYExP9WTuvHzd+JN1qyS2vI3LBegJdbVk5pxcB7YzyHKytSAp2JekqdEPZpbV8tO0C3x+59vyq23oF8sToaBytrdDpDQx6c4fkPfby+Dhu7xXIl3suSf4W22JkrBcbT3dcAAW42vD1nGScbK3Q6Azc83UKp/MqcbdXMXdwuGhhPrt/CLP6h/Dpjov8cTLfmONyWyKeDtbsPF/EB9uahcYDItx5eIRxpLXmWI64HebjZM3tvU11Qm1RWFnPK42JtQ+PiCTI7b+b52Shc1iKDwvE+Dry2Mgo3txoPPCV12rNRmY36AziiiYYP8h/urevOI+fMyCUKxX1klj2Y1nlxPs70aAzcOZKJdHeDvQIdOZoVjmzlx9m+axkega7cvqlUUz+bL/EyfLpNSeZ3T+EodGenfogbcmaY7n0D3fHw0F9zUVIE0cul3GkRcrmX0XPYBc+vT0RhUzGkLd2mHRVVsxKxruxY/FTSg7Hs8s7db9NNuMtxZQtxaMTFzfrJWb0DWbZvkyxe9DawMvbydqs18OBjJIOfWKcW9nFT+kZaLb4aFl4gHGV9tuDWaJfDBjHY7ck+Zv1xLjn6xQW35HY5uN47oYYTuZWiN2wn1Jy2H+xhMW392Btah5/nJRmUWWV1jLgDaPYMznYlTsHhtI3zE0i2O0Ird7AhcJq1p24ctWr7eaI8nLglZvi6NlY7Oy7UMytXxyUXGf7o4PxclQzecmBTnUyhkZ7dqrwcLdX8+2c3ng6WGMwCDz2Uyp7LhRjq1LwzNguPP/raTR6A6PjvHlmTBd2nS/izY1G3cYLN8aSGORCXnkdD3zX3Bn1c7bh/SkJKOQyiqsbJN2+PU8M7dRrAsb18Ud+TKWyXkdXPycTgzkL/1wsxYcFwJi/sGJ/pjhy8XOxIbtUetau0RlwsFaKxUeNRs+c5Uf4ZW4/ce3xmTFdyK+sl6jqU3MqSAh0JrO4hnP5VYR72otnsTO+OsSSaUn0C3fn+7v78M7m83zQeIYPxlyPodGefDO7F7d/Kf2w7YimNdHbewdSUq1h/an8Dm7xn2FAhDuLb09EozOwdF+m5Pk28fYt8QxszCQpqW7gtasw95o7OJw6jV4ipIz2MXYhUloVUU1ajyaNS+tywqsN0V5TzsvoOO82X9dj2eWS7kHPYJc2TeLc7VWS9dhPdlzg1uRAsfh4Ye1pPr3d/DbUhtP5fHcoiylt2LarlQq+mJbEDR/tEd/fueV13PPNUQZEuPPK+Lg2Y+QPZZaamKEp5DJC3O2wUyuxUynQGQSyS2vFde4/g4NaidZgEMdTXo5qHhkRxc2J/ijkMgwGgRs/3sOp3ObCMtbXkd/m9SejuJqY5za2ddcS+oS6SdZc23w81kpW3dncBVq4/iy/Hs9DKZfx8rg43tp4nsp6HYlBLrw7uTtZpbXM/+4YBsGo87k1OZAGnZ553x6VdFMX356Iq50KQRBIemWLePnmhwZ2Oq0W4Is9GexOL8baSs67k+M7bb1u4b+P5TdlQWT/k8PE/88urSPa29QSv6peh5Wi+cMht7yOu742BsmBcUvgnUnxJtkgx7LKifNzwt1exYXCaqrqtUR7O1Cj0TNz6WH+aMx1eHhEJEtancVuO1fIy7+f4ff7+1/T8/rmQBbrT+Vz3+AwMZ77v8Fbt8Rz4dXRPDAsgtf+OEvCy5vNFh4vj4/j5sbcGb1BYN63x0xyX9rDydaKI5dLJZ2JmMbu1M2f7pNct+l32XRWb2ildG3L0r6pW9CznbHDzlYeJDKZrE3haWtfjuJqjcRjJbe8zqTIaSkKfnL1SfZdbFuA6ulozYpZvXCzk/pF7E4vZsEvp+gT6saQqLbTeluiNwhcKKwmNbucfRdLOHSp9E8VHg5qJZ4OauxUCqoadNRrDdirlTx6XSTbHx3MpJ4BKOQyUi6XEvr0H5LCY+WcXqybP4C1qXkmjrhtkRziKjEIbAuVUs43s3sR0Tg++3xXhuiw+sKNsSzdd4nc8jpC3O34fFoS1Q26xlRrLfEBzrzYuOr61OqTHG0xonvj5m5iuuydLUTT84eGiz+rM5zIKRe7tc9dH0u4pyXC49+EpfiwICKXy9j/VHPL81x+lSSOvAmtXpAUIMeyynnspxPiBoxaqWDJtCST4mV3ejFJQa54OKjJLKmlTqsnKcgFjd4YYvdNo+DzulhvSQ4NQFpBFVOWHOCne/pIEnqvhk92XCSrpJYnRkVLot07g5ONFb5O1p3egnGxteLOASF8M7sX2x8dzIdTEziRU86gN3cwcfF+UYPQEhsrBZ9PS+KOFvPuZ9ac7PBAMb9F8mqT6VNLnYyXoxp/FxsTjwdPB7XYxWradJIhfX7urbZkWtOjHa+PXelFJpEME3r4S9477XG6lQfHkl0ZkveUziBIUmdv/fxgu6F3Ud4OfHdXbzxbmJPZqRQo5DL2Z5SwPa0IB2tlp1aI/wpC3O2I8XFEpZRTWNVAjUaPrUrB7P4h7HhsMPOGRmCrUlLToKPHy5sl68V+zjZceHU0iUEuPPDdsQ7D4ZpIDHLp1EhGIZexbEZPMbjwl2O5okj38VFRbDlbwKncStzsVCyb2RNrKzmzlx3mckktAa42fDEtCbVSwSc7LkpGbVOTA5nUWIDuPF/ElrPNBebD13V+pbm6Qcf8VcfQ6gVGx3kzNdmy3fJvwzJ2sSDBx8mGz6cliWckl4prcLG1Mjnz1uoFbKwUor32b6l5BLjY8PgoY56Ek40VK+f0YurnByQz/Q2n85mY6M+e9GIul9Qiw5hZsvVcIQt+OUVpjYb7h4YT7ulA6nPXEf9Sc3JndYOOiYv389Yt8Wj1BklCZ2dJK6ji9Q3nSA525aVxsWQW15qEvZmjok4rWrPbqhSEediLts3Otla42KqQy8C60Tm0uFrDocwyVh/NpaQT65Nd/Zx4e1I8kS3O/O75OoUNp9sfFcllsKnFxsQzjVH021p8qPduDOOa+600Nt3H2YayWuNjUyuNxUfrzZH0duzbVUo5XXzaPtssqmrg7JUqYlp4fLjbqxkR42Wis2jC3LYVNLvwtras33g6n1/m9mN8oyX6qPd2s/6BASa+IE1EeDnw2/39mbvyKEcul1Gj0RPt7YCfsw0pWWUdprf+WeL8HLFXK6nV6Dl3pUo0qHO3VzGzXwi39wrCqYVW5qXfzpi8P5fckch1sd5cKKzqdLfDXq0kwNXWZOxmDiuFjOWzksUwtl3ni3j0R6MmY1a/ELJKakUb9S9n9MTP2Ya7v04hNacCF1uj+aCHg5rfT+SJnQmAeH8nXrgxBjCOEqd/dUj83rmXR3XqeTTx/K+nySypxdfJmkUTulm2W/6FWIoPCyaMiPEShYgAZbVaFHKZScBanVYvWcX8ZMdFHG2suGeQMWnVzV7Nt3f2ZuqSA5KD2E8pOczoG8zmMwVkltQiYLSV/iklh3c2n6ekuoHnb4jFydaKC6+OJvyZ9ZKf++iPqUxM9GfnY4MlvgBXQ9MsP9TDjhdvjEVvEFh9LEfS0m6LWo2+3TCwq8FereTewWHcNTBUNAGr1eg6Pbvf/PAghr29E4BAV1usFMZI87QWmy79wt35dGfz9k58gDOp2eUEudqKfgtNJmM2VtLiY287Xhpd/Zwo6cDGfFd6kaT4AJjcM7DN4iPe35m8ijqT38PgKA+OZZebiHLPF1RTUFnP0hk9mbnMuFY6+v3drL6vb5vJvF6O1qy6qzfvbj7Pkl0ZnMuv4mJRNaPjfIj0sietoJp9F4o7VTR2hJ+zDd38ncS/nWPZ5Zyqan5u0d4OTOsTzIQefqL+BmB3ehF3fHlIcl+9Q135ZnYvZDIZH25N5+3N5+kMI2K8OJdvDFDsCJVSzqo7e5EYZBynpVwu5d5vUtAZBG6I98XZ1oqv9l5CLoMPp/Yg3t+Jp9ecYuu5QtRKOV9M70mYhz3HssrE9FowOqd+ervRH0SnN5DYQuex5r6+kufeEb8ez+XnoznIZfBeY2CdhX8fluLDglleuDGWtal5ommRjZXCxO8BjN0IB7VStENetP4cDtZKbutlHB24NxUgnx+QCCCX7ctkep8gtqUVcrmkFoMgMKd/CF/sucTy/Zcpq9Xy1i3xqJRyLi0cw/B3dkq2Lpq2PzY+OJA3N6ax5ezV+yWA0RDt+bWnsVLImDsknCdGRXMip4LfUvPaDYb7s9irldzWO5B7Bobh0qhDMBgE1hzL5ZEfUzu4tZGnx0RLZuY/39sXgF+P54mXKeQyhkR50vPV5g/7EDdbUrPLifJ2EEcxTR/+rY3m2nPFTAhwlqzzmmNnWpFYjDbRP9wdpVxmdltm05kCvp3Ty2ST43BmKe9O7m7Wt+KdTedZN78/y2cli2fTEz7Zx+s3d2VyT/MiVCuFnMdHRTOhhx8vrD3DngvFrE01vm5xfo7M6h9CoKst5bUaMopryCyuIbOklvJaDTUavTiuslLIGoWnSnycrAlxt8PdQU2dRo9MZuwcbk8rlPibuNqpuDHel4mJ/sT6OkrO2k/klJusAAPse3Iovs42XCyqZuwHuzv0S2liRt9gyd9xe9hYKfjh7j6iHiPlcinTvjSm0PYPd6dfmBtPNnYbX7gxlhExXny4NZ1Vh7KQy+CDqQkkBrmQU1bLnSuOSNKIP5yaIKYItyw85g8NJ6GNItEcWSW1PLPGKA6+f2gEySGdX3W28M/CUnxYaJMjzwwXU2irG3R4OqglzoQiMiQdkGfWnMJerWRcd6N9u4eDmm/v7MWUJQckmw7L919mQoIfclkZl0tq+ePkFeYNCWfxzousTc2jrFYj2i5vfWQw3x/O4omfm0ctFwqrGfneLhZN6MqsfsEmB6yrQasXeG+LUfyZHOzK9L7BxPo6cjK3ggMZpey/WNxhWFlHqBRykkNcuTnRj1GxPuKIQ6c3sPVcIXd/ndLp+0oKcmFotKdoRd3FxxEPBzUNOj3fHW7Wk/QOdZVYWf86tx9P/GzM4YjwtCe7sbhoKjpcWwgyLxa1n5jbLcC5w1TdlMtl1Gp02LbIklHIZdw3OEzi+dCShEDjc2u5jVFWq0WtVHDv4DCTRNa0giq+OXCZGf1C+OHuPkz6zKiNeOLnk2w/V9TuGm64pwPfzOnFsawyluzKYOPpfE7lVoqdFzuVglg/J8I97enm74ynoxp7tRKtXkDXODIprGogv7Kewsp6DmeWmk3V9Xa0ZnCUB8O6eDEo0sNEV9JW0bH49h6MivNBbxD4bOdFFq4/Z3KdtrijdxDL92e2m57bhLOtFd/d1Ztob2OX6khmKdO/MhYefcPcGJ/gx+M/GYviuweGMq1PMD8eyRa7Ly/eGMvIWG+q6rXMXnZE8rfyxKho+oUbRzhPrT4hji8jveyvSueh1RuY/90xqhuMjqkt9T4W/n1Yig8LbSKXyzj27AgSGhMmC6sa8HO2MTHOqqrX4eNkjd4giBqQh74/jr1aKZqQeTpY892dvY0FSAtr79XHchkR44VCJiOjuIbl+zOZPSCEFfsuszu9mFsW7+fz6Un4OdswuWcgAyI86NsqXvzJ1ScZ192X48+N4KZP9plYh8tkdOoDuImW65UDItwZFOnBvCHhKBUy0vKruNAYoX6puIbyOg0VtVqqGnQIgvFnWSsV2KkVBLjaEuRqS4i7PT1DXOgR6CJpL2cW1/Bbal6n2+dNuNqpeHdyd9GLAoyta4D1J/MlH/zJwW5i1oernYowT3uxW+HnYkNVgw5ZY/EIUoHp1g66SVFeDqS0YUsOiFqhg5dKGRIltb6fkhzYZvGxbF8mT42OZtf5Ikl35PUN5/jxnj6kXC4zEU2+vfk8w2O8SA5xZc8TQ+j/uvG12XA6n+An13HgqWGiZ4o5EgKNnivF1Q1sOl3AhtP5HMkspUaj59Cl0k6JNFvi52xDnJ8jCYEuDI7yIMrLwawuYf/FEqZ+fsDk8nsHh/H4yChkMhmn8yq46ZN9ZlOI22JsNx/RsbcjvByN3cmwRi+Yw5mlzGhReExKCuCRH1MxCHBLoj9PjIpm5/kiUXN17+Aw7ugTjE5vYN63xyQjvwkJftwzyOg78/uJPEm68YYHpKLyjnh383mOZ5fjaK3kvSndLWu1/3JkQms5+n+ZyspKnJycqKiowNGxc2FUFv5ejmSWSoypzBUgYDyTziiuEefbKqWc5TONLqZNFFTWM2XJAZMCYWCkB5V1Wo5nl2OlkDE1OZB1J65QUqPBrXFe3NRiNRgEsSPTkiA3W96+JR6ZzHzw2NUWIa3xdrSmZ4grMT6OxPo6EuPrKB6s9QYBncGASiE3e5ARBIHs0jpO5VVwPLucrWcLzJp3dYSVQsa3d/bms50Z4qjp5fFx3NE7CL1B4Lp3m8dTrZ1qT784kuPZ5dz2xUH8nG14Z1I8k5ccwM/ZhuvjffhsZwYz+gbzwo3GFclJi/ebeFy0ZOdjg3nptzOSldiWBLraklVay6x+ITx3Q4zJ99uLi89cNJaF68/y2c4MyeWHnhmGUi5nzPu7TZJxewa78N1dfVDIZTTo9EQt2CD5/qQkfzE5tTPoDQIXi6o5kVNBdmktRdUNFFY2UKvRoZDLkMlkKOUyPOzVeDmq8XKyJtDVllhfJ0kHqTU6vYFX1p0VNVUtuWdQGE+MMhYdJdUNPL/2NL93kETbkuFdvCisqu90vIC/iw2r7uwt+ni0LDz6hbsxNTmQh74/jlYvMCHBjzdviefslUomfbafWo2emxL8eGdSPDKZjOd/PcXy/c0FT98wN5bNTEallJNRVM3QRm0SwKkXR4oFb2fYd6GY2748iCDAJ7f1YEzXzifdWvjPcTXHb0vxYaFTLNt7iRd+OyN+3dYIpknM2ISdSsHKO3vTvXFlD4y5FpOX7DdJZe0X7oaNlUJcv5vSM4ATORWcuVKJUi7jxXGxopYEzG8CgHHO/djIKB7/+USHEeJ/Fge1Eg9HNZ4OajwcrBuLD5ABGr2BoqoGiqoayK+oF3Ux14pSLuPDqQlUN+h47KcT4uVN9uI/peSIWwmteWxkFHOHhPPmxnN8vP0i47r7Eu/vzEu/n2F4Fy/USjnrTl7h2etjmN0/hNIaDUmvbG4z7Rhg7bx+PPpjqolDaRNRXg6kFVQR4WnP5ocHmXy/92tbTQqIJr6Z3YseQc6MeGeXSaGbuWgs5/IrGfXebpPbzekfwoLrmwudj7al89YmaWfp1ZviJO+j/xRHs8qYveywWc+WlkWHVm9gxf7LvPz7GTP3gmTLrCVPjo7mi90ZnR4PhrrbsfLOXmKGyuHGUUtto8bj9t6BzF91HI3ewA3xvrw3uTt55XXc9Mk+iqsb6B/uzlczeqJSyk0+H6K8HPjx3j44WltRp9HT5bnmQnDzQwOvys+jtEbDqPd2UVjVwJSeASy62TSh2MI/g6s5flv6VhY6xYx+IUxI8BO/LqxqwMHMmUtqdjnJLYynajR6Ziw9RFoL8aa3kzWr7uxNYKvsjL0XSqio03JrL6NI8LvD2YR72jMq1hudQeCZNadY8MtJtI2z9uduiGHDgwNozbJ9mYx8bxdTewayu0VGSEtaW39fK1UNOjKKajiQUcpvqXn8fDSHn1Jy+DElh1+PG3Np0gur/3ThYaWQ8fFtPXCxU0kKj/OvjAagsl7LGxva1gPMbYyp337OaPw1KNKDU3nGs+M4P0dRWNqUJrv9XKGk8GiZbNxERZ3WxAVX8piVMuQy47punplO2az+wW3e9vm1p1ArFbxu5kDz6/Fcor0d+eFu07j1L/ZcYmmLgnTe0AgOPT1Mcp1n1pwi+Ml1PPvLKRp0nYuuv1b2Xywh+dUtBD+5jgmf7DMpPD6flkTmorE8Odq4or79XCERz6xvs/CQyzApPOQyeGp0NG9sONfpwqOLjyPf3d1bLDwOXZIWHjP6BjP/u+Oibfq7k+KprNMyfekhiqsb6OLjyKeNYXHbzxVKCg8vRzVLZ/YUM4laFh7vTo6/qsJDEAQe/ymVwqoGwjzszHbQLPw7sRQfFjrNO5O7S9JR7dRKVGbmrocyS0VHTTBmxdz+5UEulzSPGXydbfjurt6EeUhNzA5nlpGaXc6DwyOQy2Btah41Gh33Dg5DJjO6ld72xUFKqo1dl2hvRy4tHGPixJlTVsftXx7ko20XSH3+Oj6fliT5ftM4ItTjnx9CZRTs9sbFVsWUJc36gF2PDRGFi29uSDMvBgaOLBgOwJWKOs5cqUQmM465mjwfuvo5icLR8MbI+aaRzoAIo1DQwdq0WLtUXEOd1rjVYY6MohpifY2bE3vSTVd22/LiALhYVMOPR7LpH+EuGqc18cB3x7lQWE1yiCuLzViuv/jbGb7enyl+7eloTeaisXwzu5fkel8fuEzUgg0EP7mOdzalUV7751drT+VWcN/KFIKfXEfwk+uY+vkBk99LYpALKQuGk7loLCNivBAEga1nC4h+doO4LtwadePvuXUn6vbegQzr4sXC9efa7VK1ZGi0Jz/e0wdPB+PfzMGMEmYsNRYeAyLcmT0ghHmrjqLRGRgR48UHUxPQ6A3MWXGEjKIafJ2sWTazJw7WVpy9Uinxj7FTKVg6I1ncbGnyXwGY0MPPbDpxe6zYf5ktZwtRKeR8OLWHRLhs4d+N5Tdp4arY9+RQQp4y6i3yK+tJDnY1qws4c6WSANfmfJiiqgZu++IgP93TVxT++Trb8NM9fZm1/LAkIfV0XiV1Wj3PXR/D6xvS2J1u3DR5ZXwcC/84x6FLpdz40V6WTEsk1tcJmUzGgaeHmRXvfX8km21phTw9JpqM18bw+e4MycZA0/ZNiLsdeeV1kvXAfwK9Qlz5YGoCm07n8+yvp8XL187rR6CbsXO0Pa2wTXHhGxO7ibqUtY0ruD2DXNHqDVwuqUUuM3ai6rR6VAo5wW621Gv17Dzf3CHZnV5s1vXzdONGiJeDtcn4pCkBuSnzZ1d6kehs2UQ3P+d2n/vrG85xXaw3T4yKZu+FYolXzJgPdrP3iaGMivPh5XGxktcG4NlfT1Nao+X+oeFinH3/CHcyF4010TABfLDtgkQAG+ZhR/9wd5KCXfF0UONsq8LRRkmdRk9eeT255bVkltSyJ724U54v4Z72vDMpnm7+zc9ZEAQ2nSngge+Otbk6G+llz8WiGrPvy1fGx/H+1nQT75P2mN4niGevjxHFmgczSpi57LBYeNw1MJS7VqRQrzUwNNqTj25NQKcXmLXsMCmXy3C0VrJ8VjJejtYUVtUzu/G2TXx6e6Lo6/LRtnRSG7UnKqWcdyZ17/TjBDh7pVJ0VX1qTLSJX4yFfzcWzYeFq6a1mG9EjBebz5jfjAhxt5OIS1vPmcGYpDrv26MmwkVXOxVzh4Tz6Y4LFFdrcLdX89CICD7flUFmSS0qpZxnxnRhWp8gUUSo0xtMTMmaiPd3YsH1MSQGuvDIj6lm0267+TtR3ThK+W/iaK3k6TFdmJQUwKTP9ktSddfc11f0Rsgtr2PsB7vNOnO21lqMfn+38QP9pjjUSgWP/phKVz8n7hscxr0rjxLj48gfDwxgR1ohM5YexstRzbuTunPrFweJ8LQ3cTuN9XXkdF6lye8YYEiUB9vTihjT1Zs/TubjbGtFyoIRJqFhQ9/aIdl+as3ERH9jJk5hNTd+tEdyoIvxceT7u3vjYG3FF7szzCYfD+/iyVu3xONsayoArdXoeGNDmlnh51/BmK7ePDwi0iRzpKZBx6/H83h6TdsOvX7ONlQ36MS11Jbc3MMfB2vlVT/u52+IYWaL1NdNp/O5f9UxGnQGBkS4c+/gMO5cfoSaxkLk82lJCALMXn6YfRdLsFcrWTE7mR6BLlTUapny+QGJcdkbN3cTC8wDGSWSLt3F18ZcVWBcnUbPDR/t4UJhNUOjPflyepLFxfRfgEXzYeFvRa1USObom88UMLyLp9nrXiquIdKrOc49o7iGWxbvJ6uF2NRGpeCzOxKZlCRtyZbWaFi0/iy3JgcS5eVAcXUDz/16muu7+TI02hONzsDza08zZ/kRcQyjVMjJXDSWr2ZIxyxgTNe9ZfF+7l91jIdHRJLx2hhm9guWXOdEToVYeIyK9ZbkgPwnsFcrmTskjB2PDSHCy4HQp/+QFB4HnhomFh4VtVpmLT3cpiX4xgebVxmPZZVx9kolKoWcMXE+bGksFoc0OocCdA90BppHLsO6eIneLbZm9D1NOh5zK6BJjbofjU7AQa2kvFbL6TzTDkGvUDeTy1ryU0oOO9IKCfe0582J8ZLvnblSybSvDlFRp2XOgFAWTehqcvstZwsZ9d5u1p24YpIzY6tS8sKNsWQuGsulhWP4enYyfcPafzxt0cXHkfnDItjzxBAyF40lc9FYPrktUVJ4pOVX8dTqE8Q+v7HNwsPF1govRzW55XVmC48vpydxKrfiqgoPlVLOF9OSJIXHyoOXueebFBp0xg7H/UMjuHtFirhe2zSmvHPFEfZdLMFOpWD5LGPhUd2gY8ayQ5LCY/6wCLHwKKpqkBQeKQuGX1XhAfDyujNcKKzGw0HNmxMt9un/i1g6HxaumePZ5ZKZbv9wdzHGvjVNZ8lNeDmqWTmnl+TDWRAE3t50no+2m/o/3NYrkMp6Hb81ulCOivWmq78T729NR6Mz4OGg5p1J8QyIaE4mNRgEbvlsv9k8C7kM5gwI5a6Bobjbq/n6wGWebSNWvV+4GxGeDuxKL/rbOiIxPo5M6OHHxER/Sms0krVEMGblHFkwXLRgr27QMeOrQ5LCpCWtVxkf+O4Yvx7PY2KiP6+Mj6PHy5up1ej5bV5/XvjtNCmXy3hzYjcmJvrTZ+E28hstywur6nni55MMivQQRzGtaTlea+L7u3ozeckB3O3VJAQ6s/lMAY9eF8m8oRGS6/1+Io953x6jPTwd1Gx8cCAudio+3n5BkhfS9NqtmJ2Mu72avReKua0Ns7n+4e48NCJCtA7vLIIgoNEbqNPoUSsVWFuZX6c2R255HRtO5fPZzottanIAEhoLv5bjx5bMHxqOnVrJ25vPX5Xfh5ejmi+n9yTOz0l8Lu9sPs+HjSOmKT0DuL6bL/d8k0J1g47kEFeWzeyJXCbjzhVH2J1ejK1KwYpZySQFu1KvNaZQtww7nNDDr3HFXWbSefzpnj5iIdpZNpy6wj3fHEUmg69n9aJ/o+7Iwj8fS+fDwn+E7gHOLL692T1yz4ViejR+iLb+bD6dVylZty2obGDSZwckZ8MymYxHR0bx4o2xJrdfeTCL6notj4+KwkohY8PpfH5OyeHNid2I8LSnqKqBO748xGt/nBU/nOVyGT/f21cUXLbEIBhTUvsu2sYLa08zLNqTzEVjWX1fX+xUrfNNSli2L5OMohri/Z14cnQ0dw4IISHQ2ezGT2dwUCsZFu3J02Oi2fjgQNbN749aKaf7S5tNCo9PbutB6vPXiYVHcXUDt35+oM3CY88TQySFR1ZJrbhy3JSpU6vR4+dsQ7C7rbga3SvEjVO5leRX1mNjpaBPmJu4ndHedpDCzIHY2VaFSiGnuLqB4EZtijk/kH5h7iZnxa1TiwurGnjsp1QMBoH7BoeZJJieuVLJuI/2ciavkn7h7mx/dLD51+VCMTd/up9Jn+3nt9Q86jSd23SRyWSolQqcbVXYqBTtFh4Gg8C5/Eo+3XGR5Fe30G/RNl7+/UybhUfPYBeSQ1w5llVutvDwdbJm6YyebDpTwML1566q8Oji48gvc/uJhYdWb+Cxn06IhceDwyMYHOXBrGWHqW7Q0SvElaUzjIXHXV+niIXHspnGwkOrNzB35VFJ4dE/3F0S7Nay8HhqdPRVFx555XWii/FdA0Mthcf/MBbBqYU/xag4b56/IYYXG1ftjmaVi/4OrcPojmeX0zPYhcOZxoNmaY2GqUsOsKyxndvE9L7BRn3H98fF1E+A7WlF5JTV8dYt8Sxaf46M4hqe/PkkL9wYw4mcClYezGLJrgz2XSzmvckJ4uaGu72azEVj2XKmgDktslDAODJYti+TlQcvMyHBn3sHh3H6pVEYDAJf7rkkCt6aSM2pEEV0YLQ5HxXnTRcfR/IaW+WV9Tqq63XUaXWolQpsVAqslQo8HNQEu9kS5G6Ht6M1GUXVLN2XyWvvmU8mvaN3EC+Ni5Uc7E7nVXDfyqMmHilNbHl4IP4u0hXm97emozMIDIz0IM7Pibc2GTsHNyX4cTCjFJ1BINDVlkA3W15q/D0OifbA2kohpt62t0khN3Mwziiqppu/E0cul4npv8eyyimsrMezxWaSi52KXiGu7LvYfEAzF1a35Wwhn+68yNwh4bw6vivltVrWn2oOp8str+PmT/fxyvg4JvTw49zLo3ju11P8cCTH5L6aHEvVSjnXxXrTN8yNnsEuhHnYX3V7v7RGw8Wiao5eLmPPhWJ2m9nqMcf13XzIK68T/xbM8fXsZNafymfW8sNXbY53fTcfFt3cTSxCaxp03LfyKDvPF6GQy3h1fBwGAe5beRSDACNjvXh/SgIyGdz9dQq7zhdhY6Vg6YyeJIe4ojcIPPT9cUkBGe3twCeN67YAt33RPGrpGezC3a0yfTpCqzfw4HfHqajT0s3fiUdGdN563cK/D8vYxcJfwou/nWbp3kzxa38XG3LKzHtA9A1zkxxsbFUKvpzeU+KECkaPhLu+PkJVvdQjw8XWildv6sq3B7PEMc8dvYNICnbh+bWnKa/VolLImTc0nHsGhUk2NQRB4KXfz0gea2uGd/FkSs9ABkd5oFTIqdfq+XLPJZN2f2ewtpJjq1JSUac1SQVui4eGR0q2NMB4Rv3Nwcu8su5sm2e/2x4ZRKiHveSyM3mVXP/hbgwC/DK3H252Kga9uR2DYLz+57szWHUom9t6BfLCjbH0fm0rJTUavpqRxNBoL5746QTfH8km0su+TTOxUA87k3HU/KHhaPQCi3deZHJSAGkFVRzPLjdr8LVifybPtdpWifFx5EyrFFaZDBbfnsjIWG8MBoEZyw6zy8woaFSsN6/eFIebvZrU7HKmfn5AIlRtC5VCTpS3AwGuNvi72GKnUqK2kqNWytHpBSrrtVTWaamo03Iuv+qqgwf7hrkR6eVAao75LkcT70yKRyGX8fLvZ64pT+jlcbHc3rtZhF1U1cCsZYc5mVuBjZWCj29L4ExepWi+NjU5gFfGd0VnMHDvN0fZdq4Qays5S2cY3YkNBoEnV5+QFHLejtasmdtXFI63dje9tHDMVRdyL6w9zbJ9mdipFKybP4Bg93/+GrwFKRaHUwv/FaZ/dUiiCzCnBWhiYKSH5MChVspZfHsiQ6KlwtVLxTXcteKIyaaFQi7j4RGR1DTo+KQxaCzUw47HR0bx7aFs8b7DPe1ZOKErPVu1fwVB4ImfT5g9M27Cy1Ft3DZJChDtp8Eo3ly88yIbT19bkq45Jib68+h1UWbzR07klPPcr6c53sI5tjVHFgyX5LKAVPMypqs3n9yWKLrCDohwZ9nMZJJf3UJJjYavZydTrzVw54ojuNurOfDUUJQKOdO+OsSu80XtWtOHe9qbBMyNiPFiSs8AZi8/QqiHHRMT/XljQxoDIz1YMStZct3SGg29XtuCVt/xR5FaKWflnF4kBbu2+zt0tFZy/9AIpvUNwkouZ+u5Qp5Zc7Jd3cXfQZyfI4MjPcmrqGPz6YJ2zebuHxrO4ChP3tqYJhltdBZ/Fxs+ua2HZJ33UnEN0786RFZpLa52Kr6YnsTa43miYHXekHAeuS4SrV7gvpUpbDlrLDy+mt6TvuHuCILAi7+dkQhcXe1UrLqzN1HeRr3Wkl0XxYBDMBrfmVvNbo+WoZGf3WEsMC38+7AUHxb+a/RduJW8imbPh6Z8D3MHr9bJpVYKGR9MSWB0q9yG6gYdj/xw3OzBfkCEO+O7+/HGxnMUVDYgl8F9g8MJdrdj4R9nKWmMEr+1VyBPjIoWRwBNGAwCD/9wnF9axNCbIynIhetivRgR401IqzMynd7A0axyDmeWknK5jMOZpSbdmibc7FRE+zgwOs6HUXHeJgVDS45nl/PZzotsOJ3f5oHfXq3k2HMjRD1IS5pEtLYqBVsfGYRaqWDA69uo0ehZNrMnSrmc2788KIpZ7//2GBtO53PngBCeGWt0khzy1g6TNdrWmFvD9Xex4ff7+9P9JWMo4Y/39OGWxfuxUshIeXYEjq1My+5bmcIfJ/MllznZWJnd+HCwVrJiVrK49fPVnku81IYjaICrDXcOCGVioj82VgqOZpWz+mgOKw9mmb3+X8HoOG8Sg1yoqtex9VyBmJDbFvcODmNCgh/vbjlv8hp0luFdPHn7lu44tdDm7L9Ywtxvj1JaoyHQ1ZYvpyfx4bYLrG0UbTet3mp0BuZ+e5TNZwpQK+V8NaOnmEL79qY0USMCRu3Pt3N6i54ba1PzJKnJV5vZApByuZQpSw6g1Qs8NDySB4ZHdHwjC/9ILMWHhf8agiAQ/sx6ccTgbGuFg7WS7NI6lHKZJKUUjJskey80n+XJZEa/gFuSpKJCg0Hgkx0XeHvzeZMDsbu9mhdujGHT6QLxgzXGx5HnbohhzdFcvj9iTNL0cFDz/A0xjO3qY9ISNhgE3t+azvtb0zt8jhGe9gyP8aJ3qBvdA5xNCpo/Q2FVPX+cuMKvqXnttuYBHhgWwUMjIs1+L72gius/3EODzsBz18cwq38Ir647w+e7LxHr68hv8/rzwPfH+S01jzt6B/HA8Aj6LNyKVi+w4cEBRHs7ojcIRD+7vt2OhLu9CpBRXG3aUTjxwnVM/HQf5wuqWXx7Im9vSiO9sJrXb+7K5J6Bkuvuu1jMrZ+bbqmYe8+Asej6qlGPALSZ9dKEo7WSCT38ub6bDz0CXTAIAseyjQXjuhNXJJtYV4OXo5ob433pHuCCQm7UPG06nU9mG5qclrxwQwzXxXrz4bZ0fjiS0+mxXEtkMnhyVDR3DQwV39OCYNQrLVx/Dr1BoJu/Ex9N7cEzv5xkd3oxSrmMtyfFM667H7UaHXNXHmV7WhEqpZwvpyeJG2OLd15kUQtDPkdrJd/e2VsUsLb+nR1+ZrhoKtdZ8ivqueGjPRRVNTAq1ptPbushGTda+HdhKT4s/FdpnTob7GaLvjHVVaWUm2gWhnfxFMPkmrh/aDgPDY80+SDadq6AB1YdN2lfy2Rw76AworwdeGHtacoadR8PjYg0mov9ekrUJSQGufD0mOg2Vy5P5JRz40d7zX6vNTIZRHo60CPIhRgfB4Ld7Qh2s8PHybrDyO86jZ6s0lrSC6s4klnGkculnMmr7JRNdsqC4bi10TWpqNNy86f7uFBYzcBID5bN6ElueR3D39lJg87Aspk96ernRJ9F29DoDPx+f382nSngg63pdA9w5pe5/QDILq1lwBvb230cXXwcSS+oMlsg/HhPH9Yez+PrA5e5o3cQPs7WvLEhjeQQV5NcFkEQuP7DPVdVBKgUchbd3JUJPYz+MDq9gZs+2deh46i3ozX9wt1JCnYhMciFUHc7lAo51Q06sktrySmro1ajo16rF51HHayVOFhbNf5Xid4gcKm4hmNZ5aRcLuPMlcpOFw/LZvYkwsuBpXsu8fWBy9fsquvtaM0HUxPEAgyMxmlP/nxSLMInJPjxyMgo7lt5lNTscmysFHx6ew8GR3lSWqNh1rLDHM8ux9pKzmd3JDEo0lh4fL0/U+Ia66BW8s2cXsQ3bqy1LvbM6Y06ol6rZ/Jn+0nNqSDKy8G4aXaN22MW/hlYig8L/3VaFyDd/J0oq9WQXVpnNpXzxnhffj+RJznwju3mw9u3xGNtJV19vVhUzV0rjpiNpE8McmHB2C58tO2CqMyPD3Dmueu7sDu9mMU7L4oHlOtivHh8VLS4FdOamgYdj/2Uek2tcCuFDDc7NXZqBfbWVtirFej0AvVaPXVaPWW12quyxW5ixaxkBkZ6tPl9rd7ArGWH2Z1ejJejmt/u74+HvZrZy4+w7VwhfULd+PbOXry/NZ33tqQT7+/Ed3f1oe+irZTVavn41h6M7WYce7XnmdHE4CgPdqSZ9/94aVwsfs42zF5+BH8XG368pw99F21DEGD340MkOhqAdSeuSHJCOsusfiE8PipKfJ+cyq3g+g/3dPr2CrkMX2drAl1tcbdXY93o5aFSyqnT6qmu11HdoKOsVsvlklqzXZ6OmJDgx4LrY8gtq+Pz3RmsO3nlmjodTUxM9OfZ62MkXbfLJTXc/XUK5/KrUMplLBjbheQQN+5ccYTc8jqcba1YOqMnCYEu5JTVMu2rQ2QU1eBsa8WX03uSGGQcY/14JFsSXminUrBidi/x+1cq6uizcJv4/dX39ZVsq3UGQRB45IdUVh/LxdnWirVz+4txARb+vViKDwv/CPQGgbAWBUj/cHcul9aQXVqHvVqJRmeQrNJOTPTnj5NXJJsJ3QOc+Xxakkk7t6pey8M/pJq1dXe0VvL8DbHoDcbNluoGHTIZTE0OZFqfIJbvy+T7w9kYBOOBZ3LPAB4cFiFZAW1NaY3GxOPgP8kX05IYHuPV7nW0egMPfHeMP07mY2Ol4Md7+hDn5yTO5a0UMtY/MBBfZ2v6v76d0hoNH92aQHmtlgW/nMLfxYYdjw4WOzZtWZa3ZHJSgDjWas3U5ECevb4L3V/cjEZvYMvDA3lh7Rn2XCg2O9s3GARu/HhPhxoJc0R5OfDO5HgxyA6MXbJZy460c6u/lxgfR14eH0e8vxM70or4fHcGBy+Z5iBdDZ4Oahbd3JWh0dL3wo60QuavOkZlvQ53exUf39qD4moNj/6YSp1WT5CbUfMR7unAufxKpn91iILKBnydrFkxO1k0+2u9eWRjZXQ2bequVNRpiX9xk/j9zrwvzdH03lLIZayYlSxqTCz8u7EUHxb+MbR2PBwQ4U5mibEAcbRWIoBEnDkpyZ9t5wolK4Z+zjZ8NaOnqK5vwmAQWL4/s03zpYGRHjwwLIIV+zP5tVFQ6mxrxWMjo0gKcuXNjWmilbi1lZzJSQHMGRBqckbempoGHV8fuCyZh/8djO3qwyvj43CxM80laU29Vs+D3x1nw+l8VAo5n91h3BzKLq1lzPu7qWrQiRqRJpfQQFdbtjw8iFHv7SKjuEbUhjTx4HfHOhTizh8aLglka0nTCOeOLw+yO72YBWO74Gav4qHvU/F3sWHnY0NMDMY6021pC7nMKCx+eEQUri1es0vFNdz99ZE2V4X/SsZ09eaBYZFEetmTVlDFmqO5rDmW+5ds2UxI8OP5G2IlotLWWqjuAc58clsPVh3KEoWiAyLc+XBqAs62Kg5mlDBnhXF9PdLLnuWzksV12dbusWqlnGUzk8UV+NaZTubWpjvD7vQipn91CIOAyXvOwr8bS/Fh4R9F6w+t5BBXrlTUkV1qbAUr5TJJsTGhhx/HssolWxb2aiUf3ZrA4CjTDJlz+ZU8+N1xs74LtioFj4+MItLbgRfXniGtwHidrn5OvDguFp1eYOH6s6K4Uy6Dsd18uXtgqCis64jKei0bT+Wz8mBWu+uwHRHl5cCMfsHclOBnMmpqj4LKeu5acYTUnApUCjmL7+jB0Ggv6jR6Ji/Zz4mcCnoEOvPD3X2orNcx6M3tVNXreH9KdwQBHvz+OI7WSvY9NUyyqTD07R0d2sm/Mj6OBW3Y0ltbyTn1wkiW77/My7+foXeoK0tnJIsjnk9u68GYVptNAPevOiba6INR22FtJaeyjQ2i1jhYK7m9dxAz+gbj1aKbJQgCp/Mq+XBb+l+2Jn1Tgh9TegbQPdAZtVJBdmktG0/ns/porolPybXi4aDmtZu6MqJVh6G0RsMTP58Qu39TkwN5bGQUj/90Qiyq5/QP4cnR0SgVcjacusL8746j0RnoGezCF9N64mRrhSAIvL4hjcU7L4r3rVIa122bHEZbj1HnDQnn0ZFXbwKWWVzDuI/3UlGnZWKivyW35X8MS/Fh4R9HvVZP9LPNBUh8gDOlNQ1iB8RKIRfXYsHo0JhdVidaf4OxMHjxxlju6BNs9v7f2JDGV3svAcZxio2VQgxG6xHozGsTurLvQgnvbj4vClZHx3nz0IhIiqoaWLzzosShsn+4O7P6BzMwwqND8ag5BEGgukFHXnk9eRV1yGUyFDIZcjl4Oljj52yDjarzRYY5tp0r4ImfT1JU1YCzrRWf3NaDvmHuGAwC81Yd5Y+T+bjYWrF2Xn8CXG159MdUfkrJIcbHkTVz+zLinV1kldby2Mgo5g4JF++3ukFH1xc2duisueSORO76OsXkcgdrJVX1On6/vz9ONlYMeGM7MhkcfGoYXx+4zIfbLpAQ6Mya+/qZ3Lawqp7r3t0lCczzczaeneeWm/eNMYeVQsaoOB9ujPdlYKQ7aqX0tRYEgSsV9WSV1nIqt4KzV6rIK6+jtEaD1mBAKZfhbq/G00FNhJcDkV4OhHrYEehqK64212v1HLpUyo60InacL/zLs38mJfnz1OguJt2vneeLePTHVIqqGlAp5Lw0LpbeoUZ9R3phNSqlnIU3deXmRKMY95sDl3n211MIglHr9MHUBKytFBgMAs/+ekqyeqxSyFkyLVEs9AVBIOSp5sJjfHdf3puScNXPpbpBx00f7yW9sJruAc58d1fvqyqyLfzzsRQfFv6RaHQGIhc0j2CivR1o0Bm4VFyDrUqBs42VxCNkeBcvtHqDSaDZjL7BLBjbxWxB0PJDWSmX4eVoTXF1Aw06AyqFnLlDwrk50Y93N6ez+lgOgmDcWLmhmy8PDo+gTqtnya4Mfj/RLAj0clRzU4I/tyT5E3aViv6/i8Kqet7YkMZPKUaDrUgvez6flkSQmx0Gg8BTq0/y/ZFsrBQyVs7pTXKIK/suFHPrFweRyeDne/uSklnGq3+cxd1eza7HB2Orau56dHb8sXZeP7ObQQMi3NmdXswr4+O4vXcQN32yl2NZ5cZV524+9F+0HY3ewM/39jG7dbTxdD53typqegYbvTOu1lkUjDqgvmHu9Ap1pWewKxFe9ibFSEdodAYyS2o4kVPByZxyTuRWcCav8pq3VdqjR6AzL9wYKzEMA+OG1KL1Z0U30XBPe96b3J3SGg3zvj1KZb0OL0c1n92RRPcAZwRB4N0t6XzQuEI+NTmQl8fFolTIjVkvP6ZKRmtWChmf3pYo0XH0em0LBZXGsVF8gDO/zjUtGDvCYBC4+5sUNp8pwNPBKIT2akdjZeHfiaX4sPCPxVwBYm2l4Hh2OSqlnAAXG8kWS49AZ/xdbMXVwSZ6Brvw4dQeZh1BS6obeHL1SbEd7WCtRC6TiYZVfs42PDE6mkgve97bnM6G08ZtFrkMbkrw54FhEchksGxfJquP5ojhamDcppnQw4/hXbz+Kx+eFbValu3L5LNdF6nV6JHJYHa/EB4dadz20OoNPLX6JD+l5CCXwXtTErgx3peyGg2j3t9FQWUDt/UKZP6wCIa+tYMajZ43JnZjUitflYXrz/LZzowOH8+hZ4aR/OpWk8vnDQnno+0XuLmHP29PiheNwHoEOrP6vn48/lMqPxzJYUSMlxjf3pomu+2WDIhwx1al+NNjE7kM/FxsCHazw8NBjYNaib21EmulggadgQadcc22rFZDXnkdueV1FFY1XHXGytXi6aDmydHRjO/uZ7Jmfiq3gge+Oyb+fczoG8zjo6JYti+TtzamYRCM6bif3Z6Ip6M19Vo9T685yeqjuYDRF+bB4RHIZDLqtXruX3VMIthWKeR8eGuC6C4qCAIj3t0lutfaqRScfmnUNT2vdzef5/2t6agUcr6/u7doEGfhfwtL8WHhH03rAsTdXk03fye2nStELjN6R7T0e3CxtWJioj/L91+WCEtd7VS8O7m76E3QEkEQ+PloLq+uOyMWD/Zqoz9D05pvQqAzC8bGoFbKeXfzeXE1VyGXMSrOm5l9g+nq78S2s4X8mJLDjrRCySpwVz8nhnXxZFi0F7G+jn+bOZIgCJy9UsW3hy7zc0qu+PjjA5x5dmwXMTm0vFbDfSuPsu9iCXIZvDu5O+O6+6E3CMxZfpjtaUWEetjx+/39mb/qOFvOFtA9wJnV9/Y1eeyj39/N2U5oFjJeGyPRAjTx/pTuPPDdcULd7dj26GAKK+vptXCruGbboNMz4t1dCI2ZMy0Tj5vQ6Q3MXn7EpPPVO9SVpCBXluzOuKqU138yKoWc2QNCmDsk3MQhVG8wZuS8u/k8OoOAp4OaN2+JJ8rLgYd/OC7mJN2S6M8rN8WhVirIK6/jnm9SOJFTgUIu48UbjXkvYBRM3/X1EYm5n71ayZJpifQNM2o8BEFgwBvbJflM15LXArDh1BXu+ca4Qv3mRFMDQQv/O1iKDwv/eFoXIGCcbzfldHTzd+JEjtQsav7QcH4+miuZ+8tkMHdwOA8OjzA7himr0bBw/Vnxfu1UCrydrLlSUS+u9F7fzYcnRkVTXN3AO5vPS3QfXf2cmNE3mOvjfaio1bL6WC7rT+VLtChgLIQSApzpHuBMQqAL3QKcTCzEr4aKOi2p2eXsvVjMhlP5khTbaG8H5g4J5/puzU6tBzNKePiHVHLL67BTKfhgagLDuhhb5y//foYv91xCrZTz8719Scuv4pEfU7FSyPjt/v5Ee0v/zgqr6s12M8yRuWgswU+uM7n817n9uOmTvRgEOPj0MLwcrbn9i4PsuVDMPYPCeHJ0NI/8kMrPR3PoFeLKd3f1Nntgq6rXctsXB03eC75O1jxyXRQrD17maAdOsP9N2svEAWOhO767H/OHhRPkZhqkdrGomid+OsGRy8b029Fx3rx2U1cOZ5byxM8nKKvVYmOl4IUbY5iUFIBMJuNghtFWvbhag4utFR/f2oO+jausFXVaZi49JHnN3O1VLJuZLAqsBUEg8ZUtlLbQYF18bYzJZlJnOJdfyYRP9lGr0TOzXzDP3xB71fdh4d+Dpfiw8K/AYBCIamXfPXdIGB9vN6ru4/wcTRw/Z/QN5nxBlSQVF6BXiCsfTk1o06vjYEYJz/xySmwhR3rZ42BtxdGsMgTBeOZ5a69A7hoYSnmtlmX7LvHL8TzxzNrdXsUtSQGM7+5HlLcDhVX17EgrYtvZQnanF1FjJjXVy1FNkKsdgW62BLra4mKnwl6twE6lxFalRGsw0KDV06AzUFqjIaesjpyyWi4W1ZgEtamVcoZEeTKtbxB9Qt3EA3VFnZb3t6SzdN8lBMGYZbLkjiS6+Bj/dlquT350awLR3g7c+NFeajV6Hr0uknlDTXM0fjiSzeMtTKbao63i4/u7evPqH2c5kVPBu5PjuSnBX9RxONtaceCpYRRXNzDsbaPr6odTE7gh3tfsz6io0zLty4OktipAFHIZc/qHEOxux0fbLlyVGPXvxsZKgUEQ0BsEs+6vTUXH/UPDzaa31mv1fLz9Ap/tzECjN2CvVvLCjbFc382HV9ed5esDRs1HnJ8j709JIMzDHkEQ+PrAZV767Qw6g0AXH0eW3JEoro4XVNYzY+lhSUcrwNWGr2f1Eh+DIAhEP7tBomPJeG3MNXX1ymo03PjxHrJL6+gb5saKWcnXJNy28O/BUnxY+NfQeq4Mxt3/V9adwSAYz/Ir6rRcaSFEHR3njYeDmhUtIrzBWCC8PyWhTcMijc7A57sz+GBrOg06A3KZsbNR3aAT5+hWChk3Jfhx7+BwnGysWHUoi6/3Xya/svnnR3k5cGN3X26M9yXA1ZYGnZ4zeZUczzZGpR/LLmszzfdqCHKzpUegC8O7eDE4ykNiPV2n0fP94Sw+2HZBPEOdlGR0vXSwNq5PfrTN6P8A8NToaKb2CuTmT/aRXlhNn1A3vp5t/mBw6+cHTIo7c6gUcs6/Otps8fH+lO6cuVLJZzszmJjoz1u3xKM3CAx8Yzu55XVivsv7W9J5d8t5PB3UbH5okMTDoiVV9VruX3XMrJtqgKsNcweHo9EbWLH/sknh9p/Cz9mGGo0Orc5gthiFjosOgO1phTz/62mySo3drsFRHrw8Lo4ajY75q46JfiV3DjBqfdRKBQ06Pc/+ckrs8N0Q78sbN3cTt6lO5VYwZ/kRyfs42tuBFbOSxYK99TqtWinn3MujrmnUotUbmLH0EHsvlBDgasPauf075Vdj4d+Npfiw8K9j5tJDbG9xYFk4oSsvrD1Ng85AmIcdVgq5ZMsh2tuBiYn+vLP5vMQRVSaD+UMjuH9oeJtnWZdLanhl3VlRbKdWyonydkBvEEStiVwGY7r6MHdIOOGe9mw+U8CaY7nsTCuSuLLG+zsxKNKDAZEedA9wFlcwy2s1ZJbUklVaS1ZJDVmltVTUaalp0FPdoKNOo0epkGFtZbTydrS2wt/FBn8XY5ekq7+T2cTb7NJafjySzdcHLotalnBPexaM7SKuRmr1BhasOSU6jz42Moo7B4QyY+kh9l0swdNBzbr5A8yGgOWW19H/9W3iqEAuo82smaZVWXPFxzNjuhDl7cC0rw7h62TN3ieHIpPJxPj1aG8H1j8wgAadgdHv7+ZScQ03Jfjx7uTu5n8YRg3IwvXn+HLPJbPfD/e0Z3qfIDwcrNl8poAtZwvMpuL+VdirlXg7WWMQBAwGgazS2jZfKwdrJRMT/ZneJ7jNouNKRR0v/XaG9aeMAmhvR2uevyGGUXHefH3gMq+sO4tGZ8DdXs07k+JFm/38inru+SaF49nlyGXwRKuguQ2n8nno++OSSIPkYFc+n54k2rO3Ljxc7VSkLBh+TYWHwSDwyI+prDmWi61Kwer7+pqM9iz8b2IpPiz8K1nwy0m+OdDsN/Dy+Dje3pRGea0WXydrfJ1txNk3GM8iXx4Xx+e7M0xi37v6OfHWLfEmrqgtSblcyqL15zicabxPJxsreoe6UtOgZ8+FZt1H3zA3piYHMjLWmzqNng2nr/Dr8Tz2Z5RI5vn2aiW9Q13pFeJGrK8jMb6OONv+ubM9nd7AmSuV7L9Ywh+ttCYBrjbcNTCMKT0DxKInq6SWB78/xtEs44HouetjuK13EPNXHWP9qXzsVAq+v7tPmwZqH21L561N58Wv/Zxt2hxn3NE7iJfHx5ktPmb2C+bxkdF0f2kTDToDf8wfQIyvIxW1Wvos2kqtRi/myBzNKmPip/swCMaOybjufu2+JtvTCnn8pxNtZuPYqRSMjPNmcJQnKoWcU7kVHM0qIzW7vM2OREdYW8kJ97THycYKgwH0gkBeeZ1EkGmOaG8HpvUJZnyCr2SVuSUanYEV+zN5d/N5ajR6FHIZM/sG8+CISAor63lq9UnRln1IlAdv3hIvFqYpl0u555ujFFU14GRjxYdTE8SiRBAEPt15kTc2pEl+3vAunnx0aw/RY6N1DIK/iw27Hx9yTYWHIAi8uu4sX+y5hEIu44tpSQyJNjUGtPC/iaX4sPCvpXWeyGMjo1h1KIucsjpsVQr6hLqJWylNzB8WQU5ZrbhS2IRKIeeB4RHcPTC0zS6IIAhsO1fI6xvOie1sDwc1vUPdqKjTsju9SCww3OxUTEz0Z0pyICHudhRWGnUfuy8Usye9SLKS24Sfsw1dfBzxd7HB28kaHydrvBytsbFSoLaSo1LIkclkVNfrqKrXUlmvJbu0joziGi4VV3Myp0JywJTLoHeoG7f3DmJkrLcoAtQbBL49lMXr689R3aDDQa3k/and6RvmLq5UqhRyvpie1GYwnd4gMPTtHRJxqznhbxNNK7rmio9h0Z58OaMnd644wuYzBcwfFsHDIyKB5rXLYDdbNj88CCuFnHc2n+eDrenYWClYM7fjM+WyGg3vbjnPyoNZ7Qa0WSlkxPg60c3PiTg/R1RKOVq9gFZvoLRaQ11j0F9TJ8rGSoEgQF2jFsdgENALAmW1Wk7klEuMz9rCVqVgRIwXt/UKomewS5sHcb1BYG1qLu9sPi+O6XoEOvPqTV0J87Dns50X+XD7BTQ6AzZWCh4fFcWMvsHIZDL0BoFPtl/gva3p6A0CUV4OLJmWKIpWG3R6nlp90uRv4pZEfxZO6Cr+PbSOP4jycmDjQwM7fI5tsXjnRTF24O1b4kWTMwv/P7AUHxb+1WxPK2Tm0sPi17P6hZBWUCmuBg6K9OB0XoXEkn1gpAcjunjy9ubzJgeIrn5OvHlLt3YPaHqDwJpjubyzKU00OrNTKRgQYdRa7LlQJBotgdEifmxXH66L9cLHyQaDQeDMlUp2pxeTml3O6SsVf4nuA4wGWT2DXRkY6cHort54Okgtw3enF7Nw/TlRSNgz2IV3JnVHbSXnrhUpoofKkjsSzdrTN9Ha2MvNTkWwux0pLbpNLfl1bj/iA5wJe/oPkwIgxN2O7Y8OZvXRHB7+IZVIL3s2PTQIMDpdDn5zO8XVGl4eZ3Ss1RsEZiw9xO70YnydrPn5vr5i5kh7pBdU8d6WdNafutLmyMMcMplRFKpSGgtAhdxYAFZrdNfk5WFtJWdYtBfXd/NhcJRnu861TQXvmxvTxFGih4OaR6+L5JbEAI5ll/HkzydJb9SuDIr04JXxcaJwNKesloe+Py527G6I92XRhK6iJqikuoF7vkkRv9/EPYPCeGJUlFgMafUGIloUHm05znaWlmm4T4+J5q6BYdd8Xxb+nViKDwv/etILqhjx7i7x696hrnTzd2bJLqPxVXyAMyqFTPIBa69W8vwNMfx24gq7WnlDWClkzB8awT2Dw8QRhTk0OgO/peaxZFeGmAOjkMsYHedNiLsdp3Ir2HG+SHKA6h7gzKg4b66L8SLE3U6yiXImr5L0wiquVNSTX1HPlQqjWVWD1mhk1aAzIAjGx+5gbfzn62xDiLsdwW52xPg6EuXlYLJtUK/Vs/F0Pkt2ZYg6FScbKx4eEcntvYM4kFHCwz8cp6DS2I5ffHuiGBBmDkEQGP/xXslGyZ0DQvh8t3l9BcDx50bgbKsi4aVNZrs+F18bQ3W9jsRXNqMzCGx5eBDhnkaH2K/3Z/Lsr6dxs1Ox9ZFBONuqKKvRcPPifWQU1RDpZc+3d/Y2q3sxR3ZpLUv3ZrI2Ne+aIu+vBT9nG/qGuTEw0oOh0Z4SQXBbHLpUyhsbzonjQ0drJfcMDmNm3xC0BgNvbDgnjh7d7FQ8d0MMN8b7iu+pX4/nsuCXU1TV67BXK3lpXCw3JfiJ308vqGLW8sOSwlcpl/H8DTGSWILWcQf9w935Zk6va34ttp4t4K6vU9AbBO4aGMrTY7pc831Z+PdiKT4s/E9QUt1A4itbJJe9Mymep9ecpF5rwN/Fhh6BLibup3cOCMHL0Zo3N6aZWF/H+TmyaEK3DkPjBEFg5/kiluzKkGx+RHk50C/cHZVSzpHMUlIaV3Wb8HJUkxziRnKIK71DXAn3tP/LgrOq6rUculTKxtP5rD+ZL+bT2FgpmJIcwP1DI1AqZLyz6bzoDBrmYccX03sS0obIsYnWXQ+lXMbL4+N4avXJNm+TuWgsACPe2Smepbvbq8WD/45HBxPsbseMpYfYkVbE3YNCeWq08aCk1RuFphcKq0UXVDCe1d/86T4KKhsI87Bj5ZzeZl1s20KnN3DwUinrT13hYEap+Lj+LHIZBLvbEevrRO9QV/qFuRPkZtup360gCOw4X8TnLd5L1lZyZvYL4Z6BYThYK/nleC6L1p8T028nJfnz9Jguomaoql7Lc7+eZs0x4xglIdCZ9ycnEOjWnMC8I62Q+789Jr4vwGjQ98lt0sKzuLqBpBZ/V+25zHaGlMul3PbFQeq1Bib08OOtifF/m+GehX82luLDwv8M5szIls3syXONq4jWVnJuSvDjt9QrYogcGEctDwyL4P2t6ZzMlWoWZDKYnBTAoyOjOnVmfTKngi/2ZLD+VL7o+6GUyxgS7cmgSA/qtXp2pBVx6FKpZBMGjKObcC8HIjztifSyJ8TdHg8HNW52Ktzt1SbteYNBoLJeS2mNhvzKetILqkkvrOJkbiWncisk4w0/ZxtuSTJuUNhbK/kpJYe3N6WJ46jbegXyzNgubQodm2jQ6Rn13m6JaHdcd19kIOZ+KOQyk9FKU/ExZcl+DmQYBZHJIa4cahRHfnpbD0Z39RELGzc7FfueGipmqqRcLmPi4n0IAiy+vQej4owJtxlF1dz2xUGuVNTj42TNkjuS6OrfuYTh1hRXN3A8q5yLRdVcKq7hUnENFXVaKuq0VNZp0egNWCnkjf9kONuq8HJU4+Vo1OYEudrSxceRSC+Hqw4BrNfq+fV4Ll/sviQWQQq5jCk9A5g/LAIvR2v2pBfz2h9nxQTcEHc7Xr0pTnQaNb5OpTz4/XGyS+uQy+D+VttcTfqPd7ecl4yeor0d+HxakjiuAaPp16j3dotftyz8roXzBVXcsng/FXVahkR5sGRaUrudRQv/21iKDwv/c7Rexf30th6sOpwtjlduiPclu7TWJNJ+0YSu5FXU8+mOCxIzMzCuPz4wLILpfYM79YFZUatl7Yk8fjqSLRlP2Fgp6B/hzoAId1xsVWQU1XAos4SUy2XUa9u3/1Yp5chlIJfJkMtk1Gn17Qoog91s6Rfuzo3xvvQMdqWqXsdPR3P4cneGqFUJ9bDj+RtizdrOm6P1hotCLmPNfX0Z9/Fesavj62QtCf2D5uJj3rdH+f3EFcBY1DWt+DbFruv0Bvq9vo2CygY+mGrMmmmiKUPGwVrJ7/f3FwWT2aW1TF96iIyiGtRKOS/cGMuUngH/ivj1oqoGvjuUxfL9l8UukL1ayZSeAczsH4Kfsw3n8itZ+Mc50TreQa3kviHhzOwXLG6h1Gv1fLTtAp/suIBBMG6hvDe5u2in3/SzHvr+uGQ7C2BMV2/euiVeUnhuOp0vSSB+eEQk84eZmsx1ltzyOm7+ZB/5lfUkBDqzck6vDgtdC//bWIoPC/+TLNt7iRd+OyN+Pad/CCqlnE92GB1R4wOc6eLtwHeHsyW3Gxrtyax+IXyy44JZ86wwDzueu4qDNRjP+H48ks26E1dMDsrx/k4khxg1Km72KsprtWIH43JJLSXVDRRXa0y6JC1xUCtxs1cR7mnfGOduT3KIG37ONlTUadl3oZjfTuSx5Wyh2I3xcFBz98BQpvUJRqXs3Nnn2SuVjPtor+Sx3NorkF4hrjzw3XHA6DdRo9FRVd/cWWoSlII0AO7J0dHitsPQaE++mtETQNxmSQxy4ad7+khEj5M/28/RrHLCPOxYfW8/0Wissl7LA6uOiUXn0GhPXh4fh59zx0LU/zQNOj3bzhbyU0oOO84XiQWkj5M1M/sFMyU5EEdrKwoq63ln03l+TMnGIBg7aLf3DmL+sAhcW5hw7btQzDO/nBK7UTcl+PHiuFiJZf++i8U88N1xk5XjR0ZEMm9ouKRQa11gfnZHohggdy2U1miY2KjPCfe058e7+1hMxCz8vcXHrl27ePPNN0lJSeHKlSusWbOG8ePHi98XBIEXX3yRJUuWUFZWRq9evfj444+Jje2cp7+l+LDQHseyyrjpk33i17YqBa/f3I2nV5+kqsEowpuUFMDu9CKTef8LN8TgZGvFq+vOmRUlDu/iyROjoonwatsbpDWCYNxy2Xq2kC1nC8yupQa42tDVz4lQd3tCPewIcbcjyM0OhUxGVYMWQTDmfxgEAVuVAmdbFSqlHEEQKK/Vkl1Wy7krVZzLr+JoVhkncsol7fVIL3tm9A1hQg8/8ay5M9RqdNz08T5RWAvGMdH2xwYzb+UxDmUaxye9Qlw5eKkUB2ulWIDMHRLGYyOjAemB7YtpScxZcQSQGlUVVNYz4I3taHQGls9KlhR6BZX1jP94L1cq6ukZ7MKymcmieFNvEPhqzyXe3JiGRm9ArZRz18BQ7hoYisOfyM75KzAYBI7nlPPLsVzWpuZJtqy6Bzgzo28wY7v5YKWQk11ay5JdGfxwJFvUIY3p6s3jI6MlpmOlNRpeWXdGXJH1dFDz4o2xjO7qI15HbxD4cFs6H2xNl7wP7FQK3p3cnetaFRVN685NrH9ggGi/fy3UanRM/fwgqdnl+DhZ8/O9ffH9BxaEFv7z/K3Fx/r169m7dy89evTg5ptvNik+Xn/9dV599VWWLVtGZGQkr7zyCrt27SItLQ0Hh44/1C3Fh4WOqKjTEv/iJsll397Zi3c3nxe3X4Z38cLDQc2qQ1mS6yUEOvPMmC6sTc3j6wOXTdYqZTK4vpsv84eGX1UR0kRBZT170os5mlVGyuUy0gqq2lzdlMmMGyrONlbYqZViAWIQBCrrdJTUNJiMipoI9bBjSJQnE3r4EePjeNXjCINB4P7vjrGucVzSxGMjo+gd6sbNnzYXeLck+vNjSo5YhAD8fn9/UbT73aEsnmwUpu5/aih9Fm4Tb7vpoYFENr6OTQF33fyd+HVuP8ljPnulkkmf7aeqXkdyiCtfTk+SFBdp+VU8++spUU/ioFYytVcg0/oE4e/SrGn4u6lp0LE7vZitZwvYnlYoWff2clQzoYc/N/fwF7d60vKr+HTHBX47cUXshiQFufDUmC4kBjXHyguCwE8pObz2x1nKarXIZEYTt0dHRkm6HYVV9Tz43XGTDl6Qmy2fT0sSX2sw/o4TXt4scXlNWTAct05uEJlDqzcwpzFp2NnWip/u6UO459X/nVj43+Q/NnaRyWSS4kMQBHx9fXnwwQd54oknAGhoaMDLy4vXX3+du++++y998Bb+/yIIAhM+3cexFumcL4+Po7JOK0aPeztac2uvQH5MyTbx3Jg/LIKBEe68+NsZE0EqGAuDG7r5Mn9Y+J/6cK2q13I8u5y0/CqjcViRUfTYMmOjI9ztVUR6ORDl7UCsrxN9w9z+1JlmSxdKuQzUSgV1Wj1xfo6sua8f8749ysbTxjPlpCAX1FZy9l4oIdLLXjRiaxmvvvVsAbOXHxEvT3plCyWNeTNNPh5gFH8OfGM7tRo9i29PZFSc9Az9eHY5d3xxkKoGHdHeDnw1o6fkeQqCwMbTBby1KU2S35Ic4sq47r4MjvL8y0cyFbVajmaXcexyGSlZZRy+VCYZUdmrlQyN9mRioj/9wt1RyGUIgkDK5TI+3XFRYog3IMKd+waH0zvUVVJ4XSyq5pk1J0XRbrS3AwsndCUhsLk4Adh7wThmad21GxLlwbuTu0vcdFuv0gKkvTJKFPteCwaDwMM/HOeX43lYW8n59s7e9Gj1GC38/+a/VnxkZGQQFhbG0aNHSUhIEK83btw4nJ2dWb58ucl9NDQ00NDQ/MdUWVlJQECApfiw0Cm+OXCZBb+cEr/2d7Hhw6kJPPJDKhmN8/LbegWi1RvE0K0mQj3seHlcHMXVDby1Kc2sKVhTETJvaLjkrPLPotUbKK/VUlGnoaxWS02DThSdymRGMay7vRo3e9WfOmC0RhAE3tqUJiYH+zhZc6WiHhsrBb/O64dBECTbEE+Pieb1DWnoDQLu9irxTL9JbArGg+ewt3cCcPrFkdzzTQq7040CyNFx3nx6e6J43Tc3nuPj7Rfxd7Fh80ODTDZITuSUM3v5EYqqGnCzU/HWpHiGtDJGMxgEtqcV8uWeS2Y7AMnBrkR5G4u1UA973OxU7Y6jtHoDFXVacsvquFRc0+guW8PZK5VmQ+oCXW0Z1sWT4V286BnsKuprKmq1/HI8l1WHskTzMJnM+BrcOyjcZGOntEbDh9vS+ebAZbR6AWsrOQ8Nj2RW/xCJALpeq+fdLedZsitD0kVTKeQ8NSZadD1toqCynl6vbZW8JjseHfynxLqCIPDKurN8abFNt9AOV1N8/KXS5Px8YyCSl5eX5HIvLy8uX75s7iYsXLiQF1988a98GBb+H3F77yD6hbsz5K0dAOSU1XHTJ/v4/f7+rDyYxapDWaw8mEW0twMLxnZh1aEsMcE2o6iG2744yPAunnw+LYmDGaV8uC1d0koXBFibmsfa1Dz6hrkxvW8ww7t4ibbm14qVQo6Hg9psuNvfhVZv4Pm1p/n2oHEUFeXlIOo9Fk7oSoSnPdO+OiRe38/ZBrVSgd4gEOfnyKncSrP3G9Bi7HGpuIakIFex+Nh1voh6rV48+N83OJxfjuWRU1bHmxvTeO6GGMl9dfN35pe5/Ziz/Ahnr1Qyc+lhcfzQFIIml8sY1sWLYV28yCuvY21qHhtP53Mip4LLJbUSe/gmHNRKnO2ssJLLQQYyoEFnoKJWK/HFMEdwY7pwjyAXeoe6EubR7N0iCAKHLpXy3aEs1p28Iuo51Eo547v7cfegUEI97CX3V6fR89XeSyzecVH82UOjPXnxxljJWiwY15Ef+ymVjCJpdlGYhx0fTu1BjK/0A37fxWJu/fyg+PWfXaVt4oOtF8RAvzcndrMUHhb+NH9p52Pfvn3069ePvLw8fHyaBVJ33nkn2dnZbNiwweQ+LJ0PC38FeoPAyPd2Sc5UHxweQayvE0/8fILSGg0KuYxpfYJwsLbig63pJvcxvU8QcwaEsuZYLkt2ZUh8Q1ri52zDHX2CmJwU8K9R+BdW1jPvW6OIVCaDnkGuHLlcikFoXon9LTWP+1cdE2/z+s1d+fV4HvsulvDEqGhe32DcYrkx3pcPpiZI7r8p3+W9yd3xcbJm8pID4ve+nJ7EsC7NJyQt7fOXzexp1vK9Xqtn4R9nWb7feNLibq/iweGR3JLk32YnqMmELTWngvP5VZwvqCKrtBZdJ3zXZTKjQVqou50oCg7zsKd7gLOJRkIQBI5nl7PhdD4bTuVLip1obwem9AzgpgR/cWunCb1B4OejObyz6bw4dov1deSp0V3oH+EuuW6dRs/bm9L4cu8lE83Q1ORAnrs+xqRr1HLrCIwC6xn9Qjp87u0hCALvbj7PB9suALBgbBfmDAj9U/dp4X+X/1rnw9vbOMPNz8+XFB+FhYUm3ZAm1Go1avV/7uzPwv8mCrmMLQ8PkuRLvLfFWGBseXgQb29KY/2pfJbuzcTP2YZXxsex72Ixf5zMF+9j+f7L/Hw0l/uHhrPl4UEs3XuJlQezTIqQ3PI6Fq0/x7ubzzM6zptx3f3oH+H+jzRXEgSBX47n8uJvZyiv1eKgVtI90Jk9F4oRBJiaHMAj10VSWFXPC2tPi7cLdLUlPsCZJ34+iUyG5Ax73tDwNn/ehcJqRnf1Rq2Ui12A9afyJcXHkChPpvcJYvn+yzzw3XF+ndvPJGbe2krBi+PiGBnrzbO/nuJiUQ0LfjnFJ9svMKt/CDf38Dcp/BysrcSOSMvnX1mvo6S6gbJarVHQaxAQMHafXGytcLFV4Whj1W43q16r5+jlMjadKWDj6XyutFivtrFScEO8D1OSA0kIcDYZbxgMAlvPFfLWxjSx0+TnbMPjo6K4oZuviRvooUulPP5TKpmtOjiO1kpev7mbZPMFjGu+XZ7dINl8+fGePvRs4QdyLQiCwJsb08RV9qdGR1sKDwt/GX+L4PShhx7i8ccfB0Cj0eDp6WkRnFr4j1FYVU/yq1sll71xczfcHVQ8+8tpMSJ+VKw3Q7t4snjHRVEf0oS/iw0PDItgWBcvfjySzdK9me2KRF3tVIzt6sO47r70CHT5R9hLp2aX89ofZ8UNlXBPezwd1KJO4o7eQbx4YywCMP2rQxKjqk9u68G+i8V8cyCLETFe2FgpRBv7lnqPJpo6H9fFeLFkWhJ3fHlQHL3YqhQceHqYZGujXqtnypIDHM8uJ9Tdju/v7tPmCEqjM7Dy4GUW77wohvupFHJGxHgxIsaLQZEef3kHqlaj43h2OQcySjmQUcLxrHKJ0NROpWBItCej4rwZEmU+10WrN+YELd55URTqOtlYcf/QcO7oE2TSwanV6HhjQxrL92eadDuSQ1x5b3J3E6FxRlE1Qxv1Nk2kPnedSdflahEEgUXrz/FZY5aSpeNhoTP8rYLT6upqLlwwtuASEhJ45513GDJkCK6urgQGBvL666+zcOFCli5dSkREBK+99ho7duywrNpa+I/z1OqTklVbuQwOPj2cL/Zk8MXuS+gNAnYqBfOHRaDVG1i803TU4udswz2Dwxjf3ZdNpwskgXNt4eNkzaBIDwZFetA33F3UKvwnaEq5/WrvJXY0mnOplHJGdPHiXH4lF4tqkMngiVHR3D0wFJlMxku/neGrvc0BckOjPXlnUjx9Fm6jTqvn2zt7SXQE7RUffs427H1yKN8ezOLpNc25MOZGAIWN/h55FfVEezvwzZxe7drd12v1/Hw0h1WHsiT6E7kMor0diQ9wJt7fiRB3O/xdbfFyUIsW5ObQ6AwUVtVTUFnPlYp6zhdUk5Zfybl847im9Sejp4OaAREejI7zpn+Ee5si1jqNnh+OZLNkV4ZY6DqoldzRJ4i7B4aZFAaCYBTQvrD2DFml0m6HSiFn/rBw7h0cbtKZaS227hPqxrd39vrTLrCCIPDy72fF98SLN8YyvW/wn7pPC/8/+FuLjx07djBkyBCTy6dPn86yZctEk7HPPvtMYjIWFxf3lz94CxY64nxBFde1SMcF40puUpALT685Ka7qxvo6MndIOCdzK/i0sc3cEk8HNXcOCOXWXoGkXC7j+yPZbD5d0K5LKRjHQQkBzvQNdychwJlu/k5/ymfBHHqDwKncCv44dYV1J66QU2Y84MlkMCzaE5lMxrZzhegNgnGD5JZ4UTC4eOdF0ZEUjB2cDQ8M4LNdGXy55xJdfBz5ZW5fohYY9Vr3DQ7j8VHRJo+hqfgAY3FSXN1A8qtbxFFAmIcdmx8aZNIRulRcwy2L91Nc3UCwmy3LZyWLFuvtcSq3gvWnrrD1bKG4WdIahVyGvVqJnUqBrVqJDNDoDTRoDdTr9BJTMHN4O1rTK9SV3qFu9A51I7iDILn8inq+P5zN8v2ZlDauGrvbq5ndP4TbegdKOj9NXCis5uXfz4g26y1JDnbltQldRc+QJswlEL85sRu3JAW0+3w6gyAIvLD2tKi1eWV8HLf3DvrT92vh/wcWe3ULFlpgMAjc800Km1q4PILRcGnD6XxeX3+OykbnzoGRHszuH8K2swXiB3BLXGytmNYnmKnJgaiVcn45nsv3h7PbPACaw8/ZhvgAJ8I97Al0syPIzZYgV1vc7NUdbtHUafTkVdSRXlBFekE1qTnlHLxUKrE+t1MpGBzlid4gsDu9iBqNHjCufL40Lg4PBzWCIPDx9gsSy225DL6a0ZMgNzuue3cnWr3AilnJHMksFQWH514eZfaMf8Ab28RV5abOyK2fH5Cswn44NYEbWuS6NHGxqJppXx4it7wOR2sl703pztBo8xoxc1ypqON4VjmpORWczqsgu7SW3PK6Ng3aWqJSyPFsDJILdbcj2seR6MY13c6EDur0BnaeL2LVoWy2nSsQi61AV1vuGhjKxER/s69XRZ2WD7ams3xfpokg1kGt5Mkx0UztGWhSrJXVaEh4ebPksl2PDZGk214rBoPAs7+eYuXBLGQyWHhTV6YkB/7p+7Xw/wdL8WHBghkuFFYx/B1pF2RKzwAeGxnFh9susPKg0W9BJjNmaUxOCuDHlBx+Sskxe38jY724rVcQ/cPdOXOlkjXHctl8psCkdX41OFgrcbS2wtHGChlGx1NBgFqtjpJqDbWNhYTJ7dRK4gOccbKxorRGw8FLJeKBMNrbgWevj6FfuHGjokGn5/lfT5tk4CwY24XZ/UO4c8URtpwtZHCUB8tmJpt0Nczx2I+p/Nj4OjVd5/cTecz7tnl7JsjNls0PDTKbO1NQWc9dX6eQ2hgMODU5kKfGRJvtFnQGvUGguLqBqnodtRqdcZwmgNpKjlqpQK2U42qnwtVOdU1jiqySWn46msMPh7MlWqDkYFdu7xPEmDhvsyMfvUHghyPZvLUxTTRia8nIWC9evDEObydrk++13kZyUCs5+tyIv0TobDAIPL3mJN8dzkYmM2qk/opOioX/X1iKDwsW2uGZNSdZeVBqu/7tnb3wc7bhzY1pYkKrSilnRt9gxnT14eeUHL4/nG12zBLsZsutvQK5KcEfd3sVaQVVbD5dwKYzBWbdU/8sNlYKQj3ssFcrMQgCNioltQ06jmWXSxJxewa7cM+gMIY2jl7A2OZ/4LtjnM6TenY0jVNWH83h4R9SUcplrH9gACqlnEFv7gCM2w53Dwoz+5jWHMvhoe9TAch4bQxyuQyt3kC/RdsobBF89vz/tXfncVGWax/AfzMDMwwMDAwDDNsgIrgAKqIiuKeh5jEt82iWr9l2rGxxec/R7BzNo1lZx06ZWaeO1WnztNerVmSuuaMo4gLIKjDszLDOer9/jEwMM6wOs9D1/Xz4FM/zwFy39wfm4nnu+7rmDMOyDrZ/qnV6bN131bRdVCoS4Onp0Vg0JtwpdhLlVjTgh0tl2H9JYfbv5+fpjvmjwrBorNziEUmr1rU4L/1w1eLfHjA+1ts0NxYz44Itzql1ekzZdshsh01Hj796Q29g+MuXF/FF+g1wOcCrfxyBuxLCbPK9ye8LJR+EdKGqQY3Rm3+2OH5m/XSU1jVj6/4rpnLXIoEb7kuS4+5RYUi7rMD7xwutNqYDgJQof/xheAhmxskg8eKjXNWC0/k1OJ1fgzMFNV0+nnHncUyFvfhuXHi4c+HGNb7xerhz4eHOg6pFC4WyxepjhagAL6TGynBPYhii2hS3atbo8dahXOw6nGeRQD112yCsvD0GuRUNmPfmr2jU6LH69hg8OS0aY7b8bOqa2rakenuV9WqM2WL890xbOcnUF+eNAzl4Ne23RztCdx72PjXBovBWWyfzqrHuq0xTR9dQXyGWpkRg4Wj5Le/i6InW7bW/Xq/CT1nlZo0KuRwgJUqKP44Jx4zYoA5rjzDGcPx6NbanZeNsYa3FeTcuB/clybEqdbDVhcnti4YBwPcrJlhUS+0tvYFhzecX8PX5EvC4HPzjjyMwd2SoTb43+f2h5IOQbtp7sQxPfHLO7NiEQVJ88OBYHMmuxEs/XDUlDHweF/MTw7Bs/ABkFNfh38fyO13smBLlj5lxMkyKDjBVrqxr0iCjuA455Q24Vl6PnPJ6ZJc3oFlr/XFKZ9y4HEQHeWN4qBjDw8WYOCjA4tl/o1qHz84U461D1y0SJj6Pi+fnxuLesXJU1qtxz67jKKxuwriBEnz0UBKUzVok3kzQEiP88OVjKR3GwhhD5Lp9AICV02Pw9PRoAMbCX1O2HTJ7xDAiTIwvHkvp9G6GRmfAZ2eK8PqB3yrO8nlcTB4cgD8MD8b4QdJurcnoidpGDa6UqXC2sBbHr1fhXFEdNLrfEjV3HgcpUVLcES/D7cOMyWVnTtxMOlq7A7c3fWgQ1t0xxCxJbKU3MNz7r5OmRnoAEBfqg28eH9/pDp6e0OkNWPnfC/j+Qil4XA5eX5SA2cMt77wQ0l2UfBDSA3oDw8o9GaY6Fq3+NGkg/jJzCA5lV2Dnweumv1y5HGBWfDCWT4qCgTF8nl6M7zJKTYtWrYnw98SEQVJMjJYiKdLfrC4FYwzKZi0q6tUoV7Wgsl6NJo0eGp0Bap3B+GjFnQcvAQ+efDfIxB4I9RUiyMfD6gJVg4HhXFEtvskowTfnS61Wao3w98TrixIwItwXNY0a3PfuKVwpUyHMT4hvnxgPf5EA8Rt/NC1kzdyY2mUL+9a1IRH+njj8v7/tiPvwRAH+9m2W2bXLxg/AhjmxnX4/wHj34buMUvz7V8tELybIWIF0sMwHMUEihPgKEegtgEjgZvUODWMMTRo9ypQtKK1rRmldM4prm3BNUY/LpSqUKi3ruAR6C5AS5Y9JMQGYNjSoy23TjDGczKvBPw9km+6ctRcb4oPnZg9DcpS/1fNXFSqz/joAsHvZGIseN7dCrdNj5Z4M7MtUwI3LwY7FCVYf+RDSE5R8ENILymYtJr180KwFOWCsUbE0ZQDO3uxU+kubTqUjw32xeKwctw8LwrHcKnyefgNHcyotakS0Fy4RYnioL+JCxYgL9UGk1AvBYmGvesZo9QbkVzUivbAWZwtqcTi7ssPHQm5cDh6cEImV02Mg5PNQXNOEZe+fQW5FA6QiPr5YnoIBUi9k3lBizo5jAIzdWP/zUFKXcXS0MFWrN+COfx41e2wBGJvWPTrJ+hqS9hhjuFZej+8vlOKXq5W4Uma9zwxgfDwldOfBnceFO48LncGAJrUejRoduqq0Lpd4Ij5MjOSB/kiO8sdAqVe3FqS2aPX4/kIp3j9eYHVNB2Dcuvu/MwbjroRQq0XoGGNY/fkFfHWuxHTMx8MNp9dP77QxXk8pm7X403/O4mReDdx5HLy5eBRSY2VdfyEhXaDkg5BbYK02CABsmhuL/0kegKsKFXYduo69mWWmdRcigRvmJYTg3rFyBPl44JcrFfjpsgJHc6pMZca74s7jIMzPE2F+Qvh58iEWukMsdDfr4WEwGO+S1DZpUdOoRmF1U7f6l3A4wOz4YKxJHWwqZX40pxJPfXoetU1aBIs98J+HkjAoUAS9gSHq2X2mr83ZMqtbCz7//MUFU+fg9rtiskqVuOvN49DoDQiXCE3bcv88czAemxzV4x0nNY0anM6vxuWyemQr6pFTUY9ylbrDfjxtefF5CPUTItRXiBBfIaIDRRgWIsaQYO8e766pULXgo5OF+PhUkdXdK4CxdsrDEyOxLCXSoh9Lq/TCWsx/67jZMVvV7mirpK4ZD/z7NHIqGiASuGHnfaMwKSbApq9Bfr8o+SDEBqwt9gN+e8OsbtTgy3Rjxc22fThiQ3wwe3gw7ogLRqCPAEdzqvDLlQqcLqgxLaK0F4kXH3clhGJp8gDTehBVixav/HgNH96sYxIfKsbbSxJNpbun/+OwqUHf6/cm4E4rtTmsuVSixB/eMN4tObB6ssVahneP5mHz3itw53GQIPczrWe4d2w4Nt4Z2+GizZ5o0uhQVa+BWqeHVs+g1RvA43LgJXCDl4AHL74bPPm8W6oCqjcw/JpbhS/Sb2D/pbIO64kEegvw6CRjYTpPvvU2Wk0aHaa9ethsJwsAXNyY2uttxh3JKlVi2e4zqKhXI9BbgN3LxiA2xDYLVwkBKPkgxKYOXCnHQx+ctTi+IDEMm++KgzuXi5N51fjkdBF+zFKYvRkNCzYmIjPjZBgo9UJlvRpnCmpxOr8a54vrkF1ejxZt9+6MdFek1AvJUf6YESvD+Ch/0wLFFq0ee84U4/UDOaa/0u8fJ8dzs4eZbuvv+CXHVHgsXCLE0T/f1u3Xbbvo1FrnW4OB4clPz2NvZhm8+DxMignAD1kKMAYMDfbB9oUjMETmvD/zV8pU+OrcDXybUWq2fbi9ELEHHpsShQWjwzt9XLLzUC5e/uGa2bGX5sdj4RjbF/Y6kl2Jxz5KR6NGj5ggEXYvG4vQdn1iCLlVlHwQ0gcOXavAAzdbwbcVIvbAnj8lI1ziiZpGDX7MUmBfZhmOX682q7sR6ivEhEFSjI+WIiXKH1KRAHoDQ3FNE64qjDtfSpXNUCiNvUYq6tVo0uisJice7lwEensgyEcAmViImEARhgT7IC7UB8Fi8zeV1oJYn5wqNO0ciQrwwvN3xpm1cm/fK+T6C3f0eA1KVwXJWrR6PPj+GRy/Xg2hOw/zEkLxU5YC1Y0a8LgcLEsZgCemDrJ5o7jeYIzhcpkKv1ypwN7Msi63SccEifDg+EjcPSrMaiG1VtYe6yXIffHZo+Nscvenvc/PFmPdV5nQGRiSB/pj15JEu/YbIr8flHwQ0ofaPl5o7/k7Y7FkXAS4XA5qGjX4KUuBvZllOJlXbXF7PiZIhPhQY7+XuFAxhgX7WF0TYDAwqHUG6AwG8N244PO4nT420OgMuFymwtHsSvxyrcLUvwb4rVFe+8JdL/9w1dQ6HQDO/fX2LreSWvPi/qvYddj4fS5vmmH1cUOLVo/lH6WbGt/NHxWGuiYNDtxcyOvF52FJ8gDclyQ3bVG2lyaNDifzqnHgSgV+uVph8TikPTcuBzPjZFgyLgJjIyWdzkujWof5bx23SGJ+XjUJgwK7brrZU4wx/PNADl77OQcAMG9kCF66Z3ifJDiEAJR8EGIXFfUtePD9M2YdVlsFegvw7tLRGB7mC8D4pnY6vwa/5lbhWG611d0aXA4Q4itEhL8n5BJPyCVe8Bfx4St0h68nHyKBG7hcgAMOGBga1TqomnWobdLgRm0zCqubkFtRjytl9WaFxDgcY+2SBaPDMStOZpZ0aPUGpLz4i6mQGACcXDfNannv7mjS6DDsbz8CAJaMi8Df51lvKKnTG7B57xVTNdMhMm9MGxqIg1crcfnmvw2HA4yPkmJWvAzThwYhyKd3MXWmor4F5wprcaagFmcLanCpVGV2t6ojMh8PLE6SY9GYcAR2EZdWb8Cazy/g2wzzrdw92e3TU1q9Ac9+lWkqef/4lCisSR1sdZcNIbZCyQchdmQwMLzxSy62/5xt9fyIMDFevmcEBst+++u2qkGN80V1yCxR4lKJEhdvKDvcHtsbYqE7xkZKcNuQQEwdHGg1mdiXWYbHPzYvsHbhb6m3XEW0O71gWv1wSYF1X11E7c0Os1MHB2BYiA8u3lDiaE6V+ff198SYARIMCfZBdKAIkVIvBHgLOl1X0VpDRaEyPsoqqW02FXbLLq/vcIeKNSKBG2bEyjB3ZAhS2qyl6ey1X/0pGzsO5podHxjghX1PTbTp9tm2GtQ6PP7xORzJrgSXA2yaS51piX1Q8kGIg+RVNuDxj891uD5AKuJj87x4pA4LMvsrlDGGygbj1tnC6iYUVTeiuLYZtU0a1DVpoWzW3iz4ZWw0x2B8MxQL3eEjdEOorxByiScGSL0QHyqGXNJx+/ejOZVY8t5ps2OxIT74bsWEXtUZaa9t1di3lyRiRhc1JGobNXj5x2vYc6bIVIcjPlSMcQMl0BkYzhXV4eKNug5rp4gEbvDxcIO7m7GuB2MMzRo9mrR6NKn1VvvxdBffjYtpQwJx54gQTB0S2O2E4bPTRVj7VabF8WN/mYowv757lFSuasGy3WdwuUwFoTsPOxYnYNrQ7ncIJuRWUPJBiBM4nF2JJz4+12ntibGREjw2JQqTowP69Ja4skmLzXsvm27Dt/Xxw0mmjre20HbXC9D13Y9WeZUNePPgdXx/odSUMHA4wPAwXwyVeYPDAZo0ejRr9Lhe2YAbtc3drqEiFrpDpzeg8WZXYA4HHSYzcoknpgwOwJTBARg30L/DbbLtMcbw+dkb+POXFy3O/d+TExAX2rfbWtMLa/H4x+koV6khFfHx3tIxGBHu26evSUhblHwQ4kQYY/g1txp/++4S8iq7rvOROiwIs4cHIyVKCqmody3fqxvU2JtZhveO5aOwTQ2SttakxuCJqYNuqeZFR/5zshB/vblzZu2sIVjeQTdca2pu1k/Zm1mGjOI6i/Me7lyE+XlCKuLDk++GRrUOWr0BHA4HTRo91Fo9OBxAq2doUOtgYAz1LboO13KES4QYJffDKLkfJkRLu13VtJXeYFzY+fqBHItz7y8bgyk2LItuDWMMH50qwqbvs6DVM0QFeGH3A2Mt+vwQ0tco+SDEidU0avD2ket4+3Ber77ew50LkcANblwutHoDlM3aLiuctrVjcQJmxwf3SdLRVtu1H2efm96rRnAKZQuOX6/CmYIaZBQrcb2ywazZW08I3LgYGCDCoEARBgWIMCTYGwlyXwR6924hq1qnx7ovM/HV+RKLc68sGIF7Evu+LX2LVo/1X1/Cl+eMd7RmxcmwbcEIiATdu1tDiC1R8kGIC1E2afFNRgk+Ollo0f/EFkQCN6y7Ywj+ODq8W2XSbeWaoh4zXvutnkX25lmd1r/oDr2BoaimCWV1zahsUKOyXo1mjXFdh0ZngBuPAw83HjzcefASuCHIR4BAbw8E+gggFQlssqYlr7IBD75/xqyqbStbN4DrTHFNE5Z/lI6sUhW4HOAvM4fg0UkD+zypJKQjlHwQ4uL0Boa8ygaczK/B+cJaXCxRmkqed8Tbww3xoWIkRfrjtiGBGBrsbbP26721df8Vszs8eS/c4ZLbPXV6A3b/WoAt+65YPW+PNR1tHcmuxFOfnUddkxYSLz7euDfBput2COkNSj4IIU5j2quHcL3NWpeOio85o8wbSjz12XmrPXkGBYrw4YNjTT1x7MFgYNh5KBevpmWDMeM27p33J1KpdOIUKPkghDgNxhgSN/+MmjY1NfY/PRFDg53z5zunvB5rvriIC1YWuwLA+juGYtn4AXa/q6Rq0WL1fy8g7XI5AGNDvg1zYvusXgghPUXJByHEqTDGsPhfp3Air9p0bGK0FO8sGd1hm3l70RsYjuVWYeu+Kx3WZ4mUeuHfD4xBpNTLztEZXVWo8PhH55BX1Qg+j4tNc2OxaKztG9ARciso+SCEOKU9Z4rwly/Ni29NjgnAtnuGd1mm3FYYY7he2Yj/nCjABycKO7zOW+CG1xcnYEpMgMMWcRoMDO8fL8CLP1yFRmdAiNgDb92fSPU7iFOi5IMQ4rSqGtS47ZVDULVYFl9bMi4CD4wf0ONaGx1hjEGhasHx3Gr892wxTuXXdHq9SOCGVxYMR+owmcMXxparWrDm8wumMvNTBwfglQUj4N+LLcuE2AMlH4QQp5dTXo8/vHGs0yqlYX5CJA/0R4LcDzFBIvgI3eHJ54HH5cDAjHcG6lt0qKhvQXFtMy4W1yG9sBZ5VhaIdmTeyBA8PT3GYY9UrNmfWYZ1X2eirkkLD3cu1s8ehvuT5LSNljg1Sj4IIS5D1aLFmwdze110rafuSQzD/yRHIDZEbJO6H7ZU36LF899fxhc3y+DHhfrgtYUJGBQocnBkhHSNkg9CiEtS6/Q4W1CLj04WYv8lxS19r1BfIe6Il2FmnAzDgsUOX9jalfTCGjyzJwPFNc3gcIDHJkfhmekxt1yYjRB76cn7t2tstieE/C4I3HgYP0hqUTBLqzegvkWHhhYdGtQ6cDjG5nA8DgciDzd4e7jDi89zyccSWr0BbxzIwY6DuTAwY9K0feFIjI2UODo0QvoMJR+EEKfnzuNC4sWHxIvv6FBs6kJxHdZ+lYkrZSoAwN0Jodg4NxY+Hu4OjoyQvkXJByGE2FmDWodXfryGD04UgDFALHTH5nlxmDMixNGhEWIXlHwQQogd/ZSlwIbvslCmbAFg3G3z3B+G9arrLyGuipIPQgixA4WyBRu+u4Qfs4zl0eUST2y5Kw4TowMcHBkh9kfJByGE9CG9geGjk4XY9uM1NKh1cONy8MikgXjqtmin34FDSF+h5IMQQvrI6fwabN57GRdvKAEAI8N9sfXueKdtqkeIvVDyQQghNlZY3YgX91811SoRCdzw55mDcV9ShNMVNiPEESj5IIQQG1E2G6u1vv9rATR6A7gcYNFYOVZOj0GANy0oJaQVJR+EEHKLdHoDPjldhO1p2aht0gIAJkZLsX72UAyR0SMWQtqj5IMQQnrJYGDYd6kM29Oycb3S2MxuUKAI62cPxZSYAJesuEqIPVDyQQghPWQwMPyQpcA/f87BtfJ6AIDEi4+V06Nx71g53HjUj4WQzlDyQQgh3cQYw49Z5Xjt52xcVRiTDm+BGx6cEImHJkZSWXRCuomSD0II6YLewJB2uRyvH8jB5Zt9WEQCNzw4fgAemjAQYk9KOgjpCUo+CCGkA80aPb44dwPvHc1DQXUTAMCLz8Oy8ZF4eGIkfD37V6M7QuyFkg9CCGmnsl6ND08U4KOThabdK2KhO+4fJ8fDEwbCr5911yXE3ij5IIQQGNdzXLyhxMenCvFNRik0OgMAIFwixEPjI7FgdDi8BPQrkxBboJ8kQsjvWqNah28zSvHJ6UJcKlGZjo8M98WjkwZiRqyMqpISYmOUfBBCfncYY7hwQ4nPzxbj24xSNKh1AAA+j4s74mW4f1wEEiP8qE4HIX2Ekg9CyO9GUXUTvskowTfnS5BX1Wg6Hin1wuKxcsxPDIOE1nMQ0uco+SCE9Guldc344ZIC+zLLcLaw1nTcw52LGbEyLBwdjuQof7rLQYgdUfJBCOlXGGPIr2rET5fLsf+SAheK60znOBxgfJQUdyWEYkacDCJaQEqIQ9BPHiHE5bVo9TiVX4ODVytw8FoFCm/W5ACMCcfoCD/MjAvG7PhgyMQeDoyUEAJQ8kEIcUFNGh3SC2txKq8GJ/OqceFGHbR6ZjrvzuMgKdIfM+JkmBEbhEBvSjgIcSZ9lnzs3LkT27ZtQ1lZGWJjY/Haa69h4sSJffVyhJB+ijGGkrpmXCpRIqNYiVP51ci8oYTOwMyuCxZ7YMrgAEwZHIjxg6T0SIUQJ9YnP5179uzBM888g507d2L8+PF4++23MWvWLFy+fBlyubwvXpIQ0g+odXrkVzUip7wBVxUqXLyhxKUSpanKaFuhvkIkRUowbqA/kgZKIJd40qJRQlwEhzHGur6sZ5KSkjBq1Ci89dZbpmNDhw7FvHnzsHXr1k6/VqVSQSwWQ6lUwsfHx9ahEUIcyGBgqGpQ40ZdM0pqm1HS5r/5VY0orG6EwcpvJDcuBzFB3ogPFWNMpARJkRKESzztPwBCSId68v5t8zsfGo0G6enpWLt2rdnx1NRUHD9+3OJ6tVoNtVpt+lylUllcQwhxXf93sRQrPjnf7eu9PdwQHShCTJA34kLFiA8VY7DMGx7uvD6MkhBiTzZPPqqqqqDX6xEUFGR2PCgoCAqFwuL6rVu34vnnn7d1GIQQJ/HPn3MsjoWIPRDqJ0Sor/Dmfz0R4e+J6EARArwF9PiEkH6uz1Zktf/lwRiz+gtl3bp1WLVqlelzlUqF8PDwvgqLEGJnbyxOwAv7rkJvMEDiJcCfJg1EXKjY0WERQhzI5smHVCoFj8ezuMtRUVFhcTcEAAQCAQQCga3DIIQ4iSEyH3z44FhHh0EIcSJcW39DPp+PxMREpKWlmR1PS0tDSkqKrV+OEEIIIS6mTx67rFq1CkuWLMHo0aORnJyMd955B0VFRVi+fHlfvBwhhBBCXEifJB8LFy5EdXU1Nm3ahLKyMsTFxWHfvn2IiIjoi5cjhBBCiAvpkzoft4LqfBBCCCGupyfv3zZf80EIIYQQ0hlKPgghhBBiV5R8EEIIIcSuKPkghBBCiF1R8kEIIYQQu6LkgxBCCCF2RckHIYQQQuyKkg9CCCGE2BUlH4QQQgixqz4pr34rWguuqlQqB0dCCCGEkO5qfd/uTuF0p0s+6uvrAQDh4eEOjoQQQgghPVVfXw+xWNzpNU7X28VgMKC0tBTe3t7gcDg9+lqVSoXw8HAUFxf3u74w/XlsQP8eH43NdfXn8dHYXJezjo8xhvr6eoSEhIDL7XxVh9Pd+eByuQgLC7ul7+Hj4+NUE2JL/XlsQP8eH43NdfXn8dHYXJczjq+rOx6taMEpIYQQQuyKkg9CCCGE2FW/Sj4EAgE2bNgAgUDg6FBsrj+PDejf46Oxua7+PD4am+vqD+NzugWnhBBCCOnf+tWdD0IIIYQ4P0o+CCGEEGJXlHwQQgghxK4o+SCEEEKIXfWL5KOgoAAPPfQQIiMjIRQKERUVhQ0bNkCj0ZhdV1RUhDlz5sDLywtSqRRPPfWUxTXOaMuWLUhJSYGnpyd8fX2tXsPhcCw+du3aZd9Ae6E7Y3PVebNmwIABFvO0du1aR4fVazt37kRkZCQ8PDyQmJiIo0ePOjqkW7Zx40aLOZLJZI4Oq9eOHDmCOXPmICQkBBwOB998843ZecYYNm7ciJCQEAiFQkyZMgVZWVmOCbaHuhrbAw88YDGX48aNc0ywPbR161aMGTMG3t7eCAwMxLx583Dt2jWza1x57vpF8nH16lUYDAa8/fbbyMrKwvbt27Fr1y48++yzpmv0ej1mz56NxsZGHDt2DJ999hm+/PJLrF692oGRd49Go8GCBQvw2GOPdXrd7t27UVZWZvpYunSpnSLsva7G5srz1pFNmzaZzdNzzz3n6JB6Zc+ePXjmmWewfv16nD9/HhMnTsSsWbNQVFTk6NBuWWxsrNkcZWZmOjqkXmtsbMSIESOwY8cOq+dffvll/OMf/8COHTtw5swZyGQy3H777aY+W86sq7EBwMyZM83mct++fXaMsPcOHz6MJ554AidPnkRaWhp0Oh1SU1PR2NhousaV5w6sn3r55ZdZZGSk6fN9+/YxLpfLSkpKTMc+/fRTJhAImFKpdESIPbZ7924mFoutngPAvv76a7vGY0sdja0/zFtbERERbPv27Y4OwybGjh3Lli9fbnZsyJAhbO3atQ6KyDY2bNjARowY4egw+kT73xMGg4HJZDL24osvmo61tLQwsVjMdu3a5YAIe8/a78ClS5eyuXPnOiQeW6uoqGAA2OHDhxljrj93/eLOhzVKpRISicT0+YkTJxAXF4eQkBDTsRkzZkCtViM9Pd0RIdrcihUrIJVKMWbMGOzatQsGg8HRId2y/jhvL730Evz9/TFy5Ehs2bLFJR8haTQapKenIzU11ex4amoqjh8/7qCobCcnJwchISGIjIzEokWLkJeX5+iQ+kR+fj4UCoXZPAoEAkyePLlfzCMAHDp0CIGBgYiJicEjjzyCiooKR4fUK0qlEgBM72uuPndO11jOFq5fv4433ngDr776qumYQqFAUFCQ2XV+fn7g8/lQKBT2DtHm/v73v2PatGkQCoU4cOAAVq9ejaqqKpe9pd+qv83b008/jVGjRsHPzw+nT5/GunXrkJ+fj3fffdfRofVIVVUV9Hq9xdwEBQW55Ly0lZSUhA8//BAxMTEoLy/H5s2bkZKSgqysLPj7+zs6PJtqnStr81hYWOiIkGxq1qxZWLBgASIiIpCfn4+//vWvuO2225Cenu5S1UEZY1i1ahUmTJiAuLg4AK4/d05958Pawq/2H2fPnjX7mtLSUsycORMLFizAww8/bHaOw+FYvAZjzOrxvtabsXXmueeeQ3JyMkaOHInVq1dj06ZN2LZtWx+OoGO2HpszzZs1PRnvypUrMXnyZAwfPhwPP/wwdu3ahffeew/V1dUOHkXvtJ8DZ5qX3po1axbmz5+P+Ph4TJ8+HXv37gUAfPDBBw6OrO/0x3kEgIULF2L27NmIi4vDnDlzsH//fmRnZ5vm1FWsWLECFy9exKeffmpxzlXnzqnvfKxYsQKLFi3q9JoBAwaY/r+0tBRTp05FcnIy3nnnHbPrZDIZTp06ZXastrYWWq3WInO0h56OrafGjRsHlUqF8vJyu4/PlmNztnmz5lbG27ryPjc316X+qpZKpeDxeBZ3OSoqKpxmXmzFy8sL8fHxyMnJcXQoNte6i0ehUCA4ONh0vD/OIwAEBwcjIiLCpebyySefxHfffYcjR44gLCzMdNzV586pkw+pVAqpVNqta0tKSjB16lQkJiZi9+7d4HLNb+okJydjy5YtKCsrM03UTz/9BIFAgMTERJvH3pWejK03zp8/Dw8Pjw63r/YlW47N2ebNmlsZ7/nz5wHA7JeHK+Dz+UhMTERaWhruuusu0/G0tDTMnTvXgZHZnlqtxpUrVzBx4kRHh2JzkZGRkMlkSEtLQ0JCAgDjep7Dhw/jpZdecnB0tlddXY3i4mKX+HljjOHJJ5/E119/jUOHDiEyMtLsvKvPnVMnH91VWlqKKVOmQC6X45VXXkFlZaXpXGt2mJqaimHDhmHJkiXYtm0bampqsGbNGjzyyCPw8fFxVOjdUlRUhJqaGhQVFUGv1yMjIwMAMGjQIIhEInz//fdQKBRITk6GUCjEwYMHsX79ejz66KNO/1yzq7G58ry1d+LECZw8eRJTp06FWCzGmTNnsHLlStx5552Qy+WODq/HVq1ahSVLlmD06NGmu41FRUVYvny5o0O7JWvWrMGcOXMgl8tRUVGBzZs3Q6VSucTWdWsaGhqQm5tr+jw/Px8ZGRmQSCSQy+V45pln8MILLyA6OhrR0dF44YUX4OnpicWLFzsw6u7pbGwSiQQbN27E/PnzERwcjIKCAjz77LOQSqVmCbOzeuKJJ/DJJ5/g22+/hbe3t+kuo1gshlAoBIfDcem56xdbbXfv3s0AWP1oq7CwkM2ePZsJhUImkUjYihUrWEtLi4Oi7r6lS5daHdvBgwcZY4zt37+fjRw5kolEIubp6cni4uLYa6+9xrRarWMD74auxsaY685be+np6SwpKYmJxWLm4eHBBg8ezDZs2MAaGxsdHVqvvfnmmywiIoLx+Xw2atQo0zZAV7Zw4UIWHBzM3N3dWUhICLv77rtZVlaWo8PqtYMHD1r9GVu6dCljzLhlc8OGDUwmkzGBQMAmTZrEMjMzHRt0N3U2tqamJpaamsoCAgKYu7s7k8vlbOnSpayoqMjRYXdLR+9pu3fvNl3jynPHYYyxvk9xCCGEEEKMnHq3CyGEEEL6H0o+CCGEEGJXlHwQQgghxK4o+SCEEEKIXVHyQQghhBC7ouSDEEIIIXZFyQchhBBC7IqSD0IIIYTYFSUfhBBCCLErSj4IIYQQYleUfBB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\n" 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\n" 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\n" }, "metadata": {} } diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index c643474b..3c59ee3b 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -100,11 +100,11 @@ def fit(self, x, optim, optim_params=None, max_epochs=10, batch_size=128): """Fits model to the given data. Args: - x (torch.Tensor): Data from original ODE + x (torch.Tensor): Original time series data max_epochs (int): Number of training epochs batch_size (int): Batch size for torch.utils.data.DataLoader """ - dataset = TensorDataset(x, x) + dataset = TensorDataset(x) loader = DataLoader(dataset, batch_size=batch_size, shuffle=True) if optim_params is not None: @@ -123,7 +123,7 @@ def fit(self, x, optim, optim_params=None, max_epochs=10, batch_size=128): def _step(self, batch, batch_idx, num_batches): - (x,_) = batch + (x,) = batch nt = x.shape[0] pred = self(nt) return self.criterion(pred, x) From 934bdcc5d3b15d86b29078bfb3c9ab98fc33d7ad Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 01:53:22 -0400 Subject: [PATCH 14/73] Update Lorenz63Train.ipynb --- examples/ode/lorenz63/Lorenz63Train.ipynb | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63Train.ipynb b/examples/ode/lorenz63/Lorenz63Train.ipynb index 167eba02..543db5b6 100644 --- a/examples/ode/lorenz63/Lorenz63Train.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train.ipynb @@ -67,8 +67,7 @@ " init_coeffs=ode_coeffs,\n", " dt=0.01,\n", " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", + " optimizer=None,\n", ")\n", "\n", "result = ode_solver(1000)" @@ -227,7 +226,7 @@ }, { "source": [ - "# Re-calculate using 4th order Runge-Kutta" + "# Re-calculate using 4th Order Runge-Kutta" ], "cell_type": "markdown", "metadata": {} From 3bbfc6b54058aa8503e4e9d5c759e4f8150f508c Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 10:23:32 -0400 Subject: [PATCH 15/73] Added a test for the Duffing Equation --- .../ode/DuffingEquation/DuffingTest.ipynb | 429 ++++++++++++++++++ examples/ode/SEIR/SEIR_Test.ipynb | 407 +++++++++++++++++ .../rosslerAttractorTest.ipynb | 276 ----------- .../secondOrderExampleTest.ipynb | 241 ---------- torchts/nn/models/ode.py | 15 +- 5 files changed, 848 insertions(+), 520 deletions(-) create mode 100644 examples/ode/DuffingEquation/DuffingTest.ipynb create mode 100644 examples/ode/SEIR/SEIR_Test.ipynb delete mode 100644 examples/ode/rossler_attractor/rosslerAttractorTest.ipynb delete mode 100644 examples/ode/second_order_example/secondOrderExampleTest.ipynb diff --git a/examples/ode/DuffingEquation/DuffingTest.ipynb b/examples/ode/DuffingEquation/DuffingTest.ipynb new file mode 100644 index 00000000..75d6cd6c --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest.ipynb @@ -0,0 +1,429 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return dt\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Coeffs: {'a': Parameter containing:\ntensor(0.1000, requires_grad=True), 'b': Parameter containing:\ntensor(0.5000, requires_grad=True), 'd': Parameter containing:\ntensor(0.2000, requires_grad=True), 'g': Parameter containing:\ntensor(0.8000, requires_grad=True), 'w': Parameter containing:\ntensor(0.5000, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [3.9973e-05, 7.9920e-03, 1.0000e-04],\n", + " [1.5979e-04, 1.5968e-02, 2.0000e-04],\n", + " ...,\n", + " [7.7501e-01, 1.1140e-01, 9.9701e-02],\n", + " [7.7615e-01, 1.1605e-01, 9.9801e-02],\n", + " [7.7733e-01, 1.2069e-01, 9.9901e-02]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 43 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 0.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T10:13:39.411604\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "n: 1000\n", + "Epoch: 0\t Loss: tensor(0.4499, grad_fn=)\n", + "Epoch: 1\t Loss: tensor(1.1035, grad_fn=)\n", + "Epoch: 2\t Loss: tensor(0.2227, grad_fn=)\n", + "Epoch: 3\t Loss: tensor(0.3194, grad_fn=)\n", + "Epoch: 4\t Loss: tensor(0.3879, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(0.4162, grad_fn=)\n", + "Epoch: 6\t Loss: tensor(0.4207, grad_fn=)\n", + "Epoch: 7\t Loss: tensor(0.4132, grad_fn=)\n", + "Epoch: 8\t Loss: tensor(0.4000, grad_fn=)\n", + "Epoch: 9\t Loss: tensor(0.3844, grad_fn=)\n", + "Epoch: 10\t Loss: tensor(0.3682, grad_fn=)\n", + "Epoch: 11\t Loss: tensor(0.3524, grad_fn=)\n", + "Epoch: 12\t Loss: tensor(0.3375, grad_fn=)\n", + "Epoch: 13\t Loss: tensor(0.3237, grad_fn=)\n", + "Epoch: 14\t Loss: tensor(0.3110, grad_fn=)\n", + "Epoch: 15\t Loss: tensor(0.2993, grad_fn=)\n", + "Epoch: 16\t Loss: tensor(0.2886, grad_fn=)\n", + "Epoch: 17\t Loss: tensor(0.2787, grad_fn=)\n", + "Epoch: 18\t Loss: tensor(0.2695, grad_fn=)\n", + "Epoch: 19\t Loss: tensor(0.2609, grad_fn=)\n", + "Epoch: 20\t Loss: tensor(0.2527, grad_fn=)\n", + "Epoch: 21\t Loss: tensor(0.2450, grad_fn=)\n", + "Epoch: 22\t Loss: tensor(0.2376, grad_fn=)\n", + "Epoch: 23\t Loss: tensor(0.2306, grad_fn=)\n", + "Epoch: 24\t Loss: tensor(0.2237, grad_fn=)\n", + "Epoch: 25\t Loss: tensor(0.2172, grad_fn=)\n", + "Epoch: 26\t Loss: tensor(0.2108, grad_fn=)\n", + "Epoch: 27\t Loss: tensor(0.2046, grad_fn=)\n", + "Epoch: 28\t Loss: tensor(0.1985, grad_fn=)\n", + "Epoch: 29\t Loss: tensor(0.1927, grad_fn=)\n", + "Epoch: 30\t Loss: tensor(0.1869, grad_fn=)\n", + "Epoch: 31\t Loss: tensor(0.1813, grad_fn=)\n", + "Epoch: 32\t Loss: tensor(0.1758, grad_fn=)\n", + "Epoch: 33\t Loss: tensor(0.1704, grad_fn=)\n", + "Epoch: 34\t Loss: tensor(0.1651, grad_fn=)\n", + "Epoch: 35\t Loss: tensor(0.1598, grad_fn=)\n", + "Epoch: 36\t Loss: tensor(0.1547, grad_fn=)\n", + "Epoch: 37\t Loss: tensor(0.1496, grad_fn=)\n", + "Epoch: 38\t Loss: tensor(0.1446, grad_fn=)\n", + "Epoch: 39\t Loss: tensor(0.1396, grad_fn=)\n", + "Epoch: 40\t Loss: tensor(0.1347, grad_fn=)\n", + "Epoch: 41\t Loss: tensor(0.1299, grad_fn=)\n", + "Epoch: 42\t Loss: tensor(0.1251, grad_fn=)\n", + "Epoch: 43\t Loss: tensor(0.1203, grad_fn=)\n", + "Epoch: 44\t Loss: tensor(0.1155, grad_fn=)\n", + "Epoch: 45\t Loss: tensor(0.1108, grad_fn=)\n", + "Epoch: 46\t Loss: tensor(0.1061, grad_fn=)\n", + "Epoch: 47\t Loss: tensor(0.1015, grad_fn=)\n", + "Epoch: 48\t Loss: tensor(0.0968, grad_fn=)\n", + "Epoch: 49\t Loss: tensor(0.0922, grad_fn=)\n", + "Epoch: 50\t Loss: tensor(0.0876, grad_fn=)\n", + "Epoch: 51\t Loss: tensor(0.0831, grad_fn=)\n", + "Epoch: 52\t Loss: tensor(0.0786, grad_fn=)\n", + "Epoch: 53\t Loss: tensor(0.0741, grad_fn=)\n", + "Epoch: 54\t Loss: tensor(0.0696, grad_fn=)\n", + "Epoch: 55\t Loss: tensor(0.0652, grad_fn=)\n", + "Epoch: 56\t Loss: tensor(0.0608, grad_fn=)\n", + "Epoch: 57\t Loss: tensor(0.0565, grad_fn=)\n", + "Epoch: 58\t Loss: tensor(0.0522, grad_fn=)\n", + "Epoch: 59\t Loss: tensor(0.0481, grad_fn=)\n", + "Epoch: 60\t Loss: tensor(0.0440, grad_fn=)\n", + "Epoch: 61\t Loss: tensor(0.0400, grad_fn=)\n", + "Epoch: 62\t Loss: tensor(0.0362, grad_fn=)\n", + "Epoch: 63\t Loss: tensor(0.0325, grad_fn=)\n", + "Epoch: 64\t Loss: tensor(0.0290, grad_fn=)\n", + "Epoch: 65\t Loss: tensor(0.0256, grad_fn=)\n", + "Epoch: 66\t Loss: tensor(0.0225, grad_fn=)\n", + "Epoch: 67\t Loss: tensor(0.0195, grad_fn=)\n", + "Epoch: 68\t Loss: tensor(0.0168, grad_fn=)\n", + "Epoch: 69\t Loss: tensor(0.0144, grad_fn=)\n", + "Epoch: 70\t Loss: tensor(0.0122, grad_fn=)\n", + "Epoch: 71\t Loss: tensor(0.0103, grad_fn=)\n", + "Epoch: 72\t Loss: tensor(0.0088, grad_fn=)\n", + "Epoch: 73\t Loss: tensor(0.0075, grad_fn=)\n", + "Epoch: 74\t Loss: tensor(0.0065, grad_fn=)\n", + "Epoch: 75\t Loss: tensor(0.0057, grad_fn=)\n", + "Epoch: 76\t Loss: tensor(0.0052, grad_fn=)\n", + "Epoch: 77\t Loss: tensor(0.0050, grad_fn=)\n", + "Epoch: 78\t Loss: tensor(0.0049, grad_fn=)\n", + "Epoch: 79\t Loss: tensor(0.0049, grad_fn=)\n", + "Epoch: 80\t Loss: tensor(0.0051, grad_fn=)\n", + "Epoch: 81\t Loss: tensor(0.0053, grad_fn=)\n", + "Epoch: 82\t Loss: tensor(0.0055, grad_fn=)\n", + "Epoch: 83\t Loss: tensor(0.0056, grad_fn=)\n", + "Epoch: 84\t Loss: tensor(0.0057, grad_fn=)\n", + "Epoch: 85\t Loss: tensor(0.0057, grad_fn=)\n", + "Epoch: 86\t Loss: tensor(0.0057, grad_fn=)\n", + "Epoch: 87\t Loss: tensor(0.0055, grad_fn=)\n", + "Epoch: 88\t Loss: tensor(0.0053, grad_fn=)\n", + "Epoch: 89\t Loss: tensor(0.0051, grad_fn=)\n", + "Epoch: 90\t Loss: tensor(0.0048, grad_fn=)\n", + "Epoch: 91\t Loss: tensor(0.0045, grad_fn=)\n", + "Epoch: 92\t Loss: tensor(0.0042, grad_fn=)\n", + "Epoch: 93\t Loss: tensor(0.0039, grad_fn=)\n", + "Epoch: 94\t Loss: tensor(0.0037, grad_fn=)\n", + "Epoch: 95\t Loss: tensor(0.0035, grad_fn=)\n", + "Epoch: 96\t Loss: tensor(0.0033, grad_fn=)\n", + "Epoch: 97\t Loss: tensor(0.0031, grad_fn=)\n", + "Epoch: 98\t Loss: tensor(0.0029, grad_fn=)\n", + "Epoch: 99\t Loss: tensor(0.0028, grad_fn=)\n" + ] + } + ], + "source": [ + "ode_solver_train.fit(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=100\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(0.2094, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.5433, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(0.2215, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(0.8145, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(0., requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 54 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Re-calculate using 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [0.0000e+00, 8.1448e-03, 1.0000e-04],\n", + " [8.1448e-05, 1.6272e-02, 2.0000e-04],\n", + " ...,\n", + " [7.2694e-01, 1.4097e-01, 9.9701e-02],\n", + " [7.2835e-01, 1.4519e-01, 9.9801e-02],\n", + " [7.2980e-01, 1.4939e-01, 9.9901e-02]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 55 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/SEIR/SEIR_Test.ipynb b/examples/ode/SEIR/SEIR_Test.ipynb new file mode 100644 index 00000000..0b430b81 --- /dev/null +++ b/examples/ode/SEIR/SEIR_Test.ipynb @@ -0,0 +1,407 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Rossler Attractor equations\n", + "dt = 0.01\n", + "\n", + "def s_prime(prev_val, coeffs):\n", + " return - coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"]\n", + "\n", + "def e_prime(prev_val, coeffs):\n", + " return coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"] - coeffs[\"g2\"]*prev_val[\"e\"]\n", + "\n", + "def i_prime(prev_val, coeffs):\n", + " return coeffs[\"g2\"]*prev_val[\"e\"] - coeffs[\"a\"]*prev_val[\"i\"]\n", + "\n", + "def r_prime(prev_val, coeffs):\n", + " return coeffs[\"a\"]*prev_val[\"i\"]\n", + "\n", + "ode = {\"s\": s_prime, \"e\": e_prime, \"i\": i_prime, \"r\": r_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"s\": 0.1, \"e\": 0.9, \"i\": 0, \"r\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Coeffs: {'a': Parameter containing:\ntensor(0.1000, requires_grad=True), 'g1': Parameter containing:\ntensor(0.3000, requires_grad=True), 'g2': Parameter containing:\ntensor(0.2000, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9820e-01, 1.7973e-03, 8.9910e-07],\n", + " [9.9999e-02, 8.9641e-01, 3.5892e-03, 3.5928e-06],\n", + " ...,\n", + " [3.3031e-02, 1.5079e-01, 4.4694e-01, 3.6924e-01],\n", + " [3.2987e-02, 1.5053e-01, 4.4679e-01, 3.6969e-01],\n", + " [3.2943e-02, 1.5028e-01, 4.4664e-01, 3.7014e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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mybzDJqExpG+B/90EoYDVVYmISA1w8cUX06lTJ5544okK24fCSE3hbVZ4y2887FwIM+/SLb8iIlIuJk2axKuvvsrevRUz+rfCSE3S5Fy45m2wOWDDh7DgMasrEhGRauStt95ixowZJ7Rfd911+P1+mjdvXiH7VRipac65FK78l7m89FlY+Yq19YiIiPwMhZGa6LzrYdAfzOXPfw9bPrG2HhERkZ+gMFJT9b8Pev6S6Bgke5ZZXZGIiMhJKYzUVDYbXPZ3aDcCwn54/1pI/87qqkRERE6gMFKT2R1w1evQvBcU+ODdsZB1wOqqRERESlAYqelcsfCLD6DeOZC1D969CvIzra5KRKTGM2rJ8Arl8TkVRmqDuLpww1RIaATpm+H9X0Agz+qqRERqpKIZbvPyasfv2aLPeSYz+2o4+NqiTkszkLw5AlKXwUfj4dr3wFGx00KLiNQ2DoeD5ORk0tPTAYiLi8Nms1lcVfkzDIO8vDzS09NJTk7G4XCU+WcpjNQmjbvAdR/Af0bD91/AjDth9Mtg1wkyEZHy1LhxY4BoIKnJkpOTo5+3rBRGapuWfeCad+CD62Dj/yC2Dgz/m3n3jYiIlAubzUZKSgoNGzYkGAxaXU6FcblcZ3RGpIjCSG3UdiiMegmm3Q6rXjb7lFz8oNVViYjUOA6Ho1y+rGs6nZ+vrbpeDZc9bS4vnAwrX7a2HhERqbUURmqzC26Hix82lz//PXz7obX1iIhIraQwUttd9HvoNcFcnnEHbJtjbT0iIlLrKIzUdjYbDJ0MXceBEYaPboZdi62uSkREahGFETFv7R35b2g7HEIF8N9rIXWl1VWJiEgtoTAiJocLrn4LWg+EYC68dxXsX2d1VSIiUgsojEgxVwxc+19o2Rf8WebgaAc3WV2ViIjUcAojUpI7Dq77EJr2hIJMeGckHN5udVUiIlKDKYzIiTyJ5jw2jbtCXga8cyUc3Wl1VSIiUkMpjMjJxSbDjTOgQQfIToO3R0LmXqurEhGRGkhhRE4tvh7c9AnUbQO+VPMMSVaa1VWJiEgNozAiPy2xEdw8E5JbmJdq3hkJOYetrkpERGoQhRH5ed5mcPOnkNgEMrbB25crkIiISLlRGJHTU+csGD8LElPg8HcKJCIiUm4URuT01WsD4z/7USBJt7oqERGp5hRGpHSigaRJYSC5QoFERETOiMKIlF69NoWXbBRIRETkzCmMSNn8OJC8pUs2IiJSNgojUnbHB5KMbQokIiJSJgojcmaKAklS0+JAkn3I6qpERKQaURiRM1evjTkOSVEgeXM4+PZZXZWIiFQTCiNSPorusvG2gKM74I3hcHSX1VWJiEg1oDAi5aduK/jl58Vz2bw5HA5vt7oqERGp4hRGpHx5m8EtnxfP9vvWZXBwk9VViYhIFaYwIuUvsZF5yaZxV8g9DG+NgP3rrK5KRESqKIURqRjx9cxOrc3Oh4JMc7bf1BVWVyUiIlVQmcLIlClTaNWqFTExMfTo0YMlS5b85PZ+v59HHnmEli1b4vF4aNOmDW+88UaZCpZqJDYZbpwOZ/UHfxb8ZzTsXGR1VSIiUsWUOox8+OGHTJw4kUceeYT169fTv39/hg8fTmpq6infc80117BgwQJef/11tm3bxvvvv0/79u3PqHCpJjyJcN3/oM1gCObBe1fDtjlWVyUiIlWIzTAMozRv6NWrF927d+fFF1+MtnXo0IFRo0YxefLkE7afM2cO1157LTt37qRu3bplKjIrKwuv14vP5yMpKalMP0MsFvLDR7fAts/A5oBRL0K3cVZXJSIiFeh0v79LdWYkEAiwdu1ahgwZUqJ9yJAhLFu27KTvmTlzJj179uSpp56iadOmtG3blvvuu4/8/PxT7sfv95OVlVXiIdWc0wPXvA1drwUjDNN/BStesroqERGpApyl2TgjI4NwOEyjRo1KtDdq1IiDBw+e9D07d+5k6dKlxMTEMH36dDIyMrjzzjs5evToKfuNTJ48mccee6w0pUl14HCZZ0Ti6sKKKTDnAcg7AgMfBpvN6upERMQiZerAavvRF4dhGCe0FYlEIthsNt577z0uuOACLrvsMp555hneeuutU54deeihh/D5fNHH3r17y1KmVEV2Owx9Agb+wXy9+CmYfR9EItbWJSIililVGKlfvz4Oh+OEsyDp6eknnC0pkpKSQtOmTfF6vdG2Dh06YBgG+/adfP4Sj8dDUlJSiYfUIDYbXHQ/jPgHYIPVr8G02yAUsLoyERGxQKnCiNvtpkePHsybN69E+7x58+jTp89J39O3b18OHDhATk5OtG379u3Y7XaaNWtWhpKlxjj/NrjqdbC7YNNU+OAXEMi1uioREalkpb5MM2nSJF577TXeeOMNtm7dym9/+1tSU1OZMGECYF5iuemmm6LbX3fdddSrV49bbrmFLVu2sHjxYu6//35++ctfEhsbW36fRKqnzmPhug/AFQc/zId3RkHeUaurEhGRSlTqMDJu3Diee+45Hn/8cc4991wWL17M7NmzadmyJQBpaWklxhxJSEhg3rx5ZGZm0rNnT66//nquuOIKnn/++fL7FFK9nX0J3PQJxCTDvlXwxjDIVD8hEZHaotTjjFhB44zUEoe2wLtjIfsAJDSGGz6Gxl2srkpERMqoQsYZEalQjTrCbfPMGX9zDsIbw2HHV1ZXJSIiFUxhRKoWbzP45Rxo2Q8C2fDeVfDth1ZXJSIiFUhhRKqe2GS4cRp0GgORkDla65JnoOpfURQRkTJQGJGqyemBsa9D77vM1wseKxwcLWxtXSIiUu4URqTqstth6F9h2JNEB0f7300QPPW8RiIiUv0ojEjVd+EdcPWb4PDAd7Pg7SshN8PqqkREpJwojEj10Gk03DQDYrzmWCSvDYbD262uSkREyoHCiFQfLfvArfMguSUc2w2vXQI7F1pdlYiInCGFEaleGrSD27+E5r3A7zMHSVv7ttVViYjIGVAYkeonvj7cNBO6XG3e+vvpPTDvjxCJWF2ZiIiUgcKIVE+uGBjzKlz0oPn663/CRzdBIM/aukREpNQURqT6stlg4ENmKHG4Yeun8NZlkH3Q6spERKQUFEak+ut6jXnZJrYuHFgPrw6GgxutrkpERE6TwojUDC17w+0LoN45kLUPXh8KW2ZaXZWIiJwGhRGpOeq2Nmf9bX0xBHPhfzfCwifVsVVEpIpTGJGaJbYOXD8Vet1hvl44GT66Gfw51tYlIiKnpDAiNY/DCcOfhCtfALsLts6EN4bCsT1WVyYiIiehMCI1V/cbYfxnEN8QDm2CVwfC7qVWVyUiIj+iMCI1W4te8KuvIOVcyDsC74yE1a9bXZWIiBxHYURqPm8zuOVz6DzWHLH1s0kw67cQClhdmYiIoDAitYU7Dsa+DoP/BNhgzRvw9hWQlWZ1ZSIitZ7CiNQeNhv0nwS/+AA8Xti7Al65CPYss7oyEZFaTWFEap92w8x+JA07Qs4h8wzJihfBMKyuTESkVlIYkdqpXhu4bT50vsrsRzLnQZh2OwRyra5MRKTWURiR2ssdD2Nfg2FPgt0JGz+C1y6FIzusrkxEpFZRGJHazWaDC++Amz81xyNJ3wyvDIRtc6yuTESk1lAYEQFo2Qd+vRia9wK/D94fB1/+FSJhqysTEanxFEZEiiSlwM2z4IJfma8XPwXvjoGcw9bWJSJSwymMiBzP6YbLnobRr4ArDnYuhJf6aRh5EZEKpDAicjLdxsHtX0GD9pBz0Lz9d/HfIRKxujIRkRpHYUTkVBq2h9u/hG6/ACMCX/4Z3rsKcjOsrkxEpEZRGBH5Ke54GP0SjPw3OGNhxwJ4qT/sWW51ZSIiNYbCiMjpOO8G8yxJvXMg+wC8NQKWPqvLNiIi5UBhROR0NeoIv1oIXa4BIwzzHzVvAc49YnVlIiLVmsKISGl4EmDMK3DFP8Hhge/nwkt9YeciqysTEam2FEZESstmgx7j4fYFUL8tZKfBOyPNMyXhoNXViYhUOwojImXVuIt52abHeMAw+5C8MRSO7rS4MBGR6kVhRORMuOPNSzbXvAMxXti/Fl4aAN9+aHVlIiLVhsKISHnoOBImfA0t+kAgG6b/Cqb9CgqyrK5MRKTKUxgRKS/JzWH8LLj4YbDZYcOH8HJ/2LfW6spERKo0hRGR8mR3wMUPwC2fg7cFHNsNbwyBRU9DOGR1dSIiVZLNMAzD6iJ+TlZWFl6vF5/PR1JSktXliJye/EyY9VvYPM183ex8GP0y1GtjaVlSOxmGQSASIBgOEoqECBkh8/n4hxEiHAkTjJjbRIzSDepns9lw2Bw47A6cdidOmxOHzVx22B247K4Sr502Jy6HC5fdVUGfWqx2ut/fCiMiFckwYMP/YPZ94M8yZwIe+lfocYt5i7DISYQjYXJDueQEcsgJ5pz4fNxyXjCPgnABBaGC4udQAf6wn/xQPgXhAvwhPwXhAqs/1ik5bA48Do/5cHqIccTgdriJccTgcXqKlwu3iXXGEu+KJ84VR7wr3nw4zddxrjjinfEl1jvtTqs/Yq2lMCJSlWTuhRl3wO4l5utzhsCV/4LExtbWJRXOMAyyAlkcyT/CMf8xMgsyzWd/5smXCzLJDmZXSm1Ou7PE2Yrow2Y+2212bJw8NNtOEqYjRoSIESEYCRI2woQi5pmWorMwRculPeNypjwOD/GueBJcCSS5k0jyJJHkTiLRnVji9cmWE1wJ2G3q0VBWCiMiVU0kAitfhPmPQdgPsXXh8meh0yirK5MyKAoZB3MPkpGfQXpeOhn5GRzOP1zydd5hApFAmfbhsrtIdCeS4Eog3hVPojsx+lzUFueKI9YZS4wjhhhn4eO45VhHbPRsg8fhiQYOh81x0kBRGSJGJHo5KBgJ4g/78Yf85nPYHz2bc/zrQDhQ4oxPbjCX3GAueaE88zmYR26o8LlwXTBy5oMQ2m12Et2J1PHUIdmTTJ2YOtSNqUudGPN10XIdTx3zOaYOsc7YcjhKNYPCiEhVlb7VvO334Abzdddr4bKnzHFKpMoIR8Iczj9MWm4aB3IOlHhOy0njQO4B8kP5p/3zEl2J5hdYTHKJLzavx2u+LmqPScbr9pLoTsTtcFfgJ6z5guGgGUxCZjjJCeSQFcgyH/6sn132h/1l2m+MIyYaTOrE1KFeTD3qx9anQWwD6sfWp15svehyvCveslBYGRRGRKqyUAAWPWmO2mpEIKkZjJoCrS+yurJaJRgOsj9nP6nZqaRmpZZ4TstJI2T8/B1QdTx1aBDXIPrl0iDOfG4Y1zDaVj+2PjHOmEr4RFKe/GE/2YFsfH4fRwuOkunP5FjBMY4WHOVYwTGO+Y+Zz4WPo/6jhCKlu2su1hlbHFbiGlAvpl7031DRo2FcQ+rG1K2Wl4sURkSqg9SV5gBpx3abr3veCpc+Bp5ES8uqSQzD4EjBEXZk7uCHzB/Y7dsdDR1puWmEjfAp3+u0OWkU34iU+BSaJDQhJT7FfCSk0CS+CY3jGytkSJRhGOQGc6PBJLMgk6MFRzlScISM/IzoZbui17nB3NP+2U67k0ZxjWgY15BGcY3MR3zx68bxjakfW7/KddZVGBGpLvw5MO//YM0b5mtvCxj5L2h9saVlVTeGYXA4/zA7Mnew07eTHzJ/YGfmTnb4duDz+075vlhnLM0Tm9MyqWWJ5+aJzWkQ2wCH3VGJn0Jqk7xgHkfyj5BRUBxUMvIzOFJwJLpc9DD4+a9qGzbqx9Y/Iag0im9E47jGpCSk0DCuYaXeSq0wIlLd7FwIn9wNvlTzdY9bYMifdZbkJIKRILt8u/ju6HfRx7aj28gKnHz4fbvNTrOEZrRJbkMrbyvOSjqL5onNaZHUggaxDWr0NXup/oKRIEfyj3Aw9yCH8g6RnpfOodxDHMorfOQeIj0//bQuEdltdhrENoie5Wuc0Ng88xffhI71OtIgrkG51q4wIlId+bNh/qOw+jXztbe5eQtwm4GWlmWlvGAe249tZ+vRrdHg8cOxH056h4rdZqdFYgtae1vTJrkNbZLbcHby2bRMaqnLKVKjRYwIRwuOFoeTvPTo8qG8Q6TlpnEw9+BP3mH0575/ZtTZo8q1rtP9/q5aF5dEajtPIoz4hznx3id3QeYe+M8o6H4zDPkLxNTsMB6OhNnp28nGjI1sOLyBTRmb+CHzh5P264h3xdOuTjs61OtAuzrtaF+3Pa2TW+NxeCyoXMRadps92uG1U71OJ92mKLCk5aSZd4UVPQpft0hsUclVF9OZEZGqyp8DCx6DVa+Yr5OawZXPw9mDra2rHGXkZ/Bt+rdszNjIxoyNbMrYRF4o74TtGsQ2iIaODvU60L5Oe5omNq2WdxeI1Ca6TCNSU+xaAjPvKr7jptt15pDycXUtLau0DMNgX84+1h5ay7pD61iXvo49WXtO2C7WGUunep3o0qALXet3pUv9LjSKb2RBxSJyphRGRGqSQC4seBxWvgwYEFcfhj0JXa6qsnPcRIwIP2T+UBw+Dq0jPT+9xDY2bJxd5+xo6OjSoAttvG10B4tIDaEwIlIT7V0FM++Bw1vN12dfCpc/A8nWXes93t7svaxIW8GKAytYdXAVmf7MEuuddied63Wme6Pu9GjUg3MbnkuSW/9Pi9RUCiMiNVUoAF8/B4ufhnAAXPEw6A/Q69dQyWcUjhUcY+XBlaw4sIIVaSvYn7O/xPpYZyznNjg3Gj461++seTtEahGFEZGa7vB2+PReSF1mvm7S3ezg2rhLhe0yHAmzMWMji/ctZun+pWw9urXEeqfNSdcGXbmwyYX0TulNp/qdKnWAJRGpWhRGRGqDSATWvQ3z/gR+H9id0OduuOgBcJXPGYjMgkyWHljKkn1L+PrA1yeMZnpOnXO4MOVCLky5kJ6NehLniiuX/YpI9acwIlKbZB+E2ffD1pnm6zqt4LK/wzmXlPpHGYbB9mPbWbRvEUv2LWFDxgYiRiS6PtGdSL8m/ejfrD+9m/Smfmz98voUIlLDKIyI1EbffQaf3QfZB8zXHa6EYZPB2+wn3xYxImw4vIEFqQuYv2c++3L2lVh/Tp1zGNB0AAOaDaBrg65VbjIuEamaFEZEait/Nix8Ela8CEbY7OB68YNw4R3gKO6/EYwEWXNwDQtSF/Bl6pcczj8cXedxeOid0pv+zfozoNkAGsc3tuKTiEg1pzAiUtsd2gyzJsHeFebrhh0JDn+K5S6DL3Z/wcK9C0tMLJfgSmBAswFc0vIS+jbpq74fInLGFEZEBCIRwt+8y7pFjzPbGWJefBw+R/Htv3Vj6jKw+UAGtxhMr5ReuB1uC4sVkZrmdL+/yzSxw5QpU2jVqhUxMTH06NGDJUuWnNb7vv76a5xOJ+eee25Zdisip8kwDDZlbOKptX9nyA9v88u6sXyclIjP4aBeKMx1uX7ePOtqvhw7n0f7PEr/Zv0VRETEMqXuhfbhhx8yceJEpkyZQt++fXn55ZcZPnw4W7ZsoUWLU48C6fP5uOmmmxg8eDCHDh06o6JF5OT2Ze/j0x2fMmvnLFKzU6Ptia5ELml5CcMTWnP+8ldxpm+C9H/Ati9h+NPQ/HwLqxaR2q7Ul2l69epF9+7defHFF6NtHTp0YNSoUUyePPmU77v22ms555xzcDgczJgxg2+++ea096nLNCKnlhfMY37qfGb8MIPVB1dH22McMVzc/GKGtxpOv6b9is98hEOw+jX48i8QyDbbuv0CLnkUEtVRVUTKz+l+f5fqzEggEGDt2rU8+OCDJdqHDBnCsmXLTvm+N998kx07dvDuu+/yl7/85Wf34/f78fv90ddZWVk/sbVI7WMYBuvS1zHjhxnM3T2XvFAeYE481yulF1e2uZLBLQafvBOqwwkXToBOo83J9755F759H7Z+CgPuN++6cXoq+ROJSG1WqjCSkZFBOBymUaOS03k3atSIgwcPnvQ933//PQ8++CBLlizB6Ty93U2ePJnHHnusNKWJ1AoZ+RlM/34603+Yzt7svdH25onNGdlmJFe2uZKUhJTT+2GJjWDUv6HnL+Hz38P+NTD/T7DuHXNG4LZDKuhTiIiUVKaRi2w/mrLcMIwT2gDC4TDXXXcdjz32GG3btj3tn//QQw8xadKk6OusrCyaN29ellJFqj3DMFh1cBX/2/Y/vkz9kpARAiDOGcfQs4Yy8uyRdG/Y/aT/D56WZj3g1nmw4QNzWPmjO+C/V8M5Q2DoZKh/djl+GhGRE5UqjNSvXx+Hw3HCWZD09PQTzpYAZGdns2bNGtavX89dd90FQCQSwTAMnE4nc+fOZdCgQSe8z+Px4PHoNLHUbj6/j09++ISPtn/E7qzd0fauDbpyddurGdJySPmNBWK3w7nXQfvLzdmAV7wI38+FHV+Zl20G3A8x6q8lIhWjVGHE7XbTo0cP5s2bx+jRo6Pt8+bNY+TIkSdsn5SUxMaNG0u0TZkyhS+//JKPP/6YVq1albFskZprw+ENfLjtQ77Y/QX+sNl3Ks4Zx+WtL+fqdlfTvm77itt5TBIM+TN0vxm+eMgMJMueN/uUDHwYzrvJ7HMiIlKOSv1bZdKkSdx444307NmT3r1788orr5CamsqECRMA8xLL/v37eeedd7Db7XTu3LnE+xs2bEhMTMwJ7SK1WTASZMGeBfxn63/YcHhDtL1dnXZc0+4aRrQeQbwrvvIKqn82XP8RbP8C5jxkXrqZ9VtY+QoM+UuZJuATETmVUoeRcePGceTIER5//HHS0tLo3Lkzs2fPpmXLlgCkpaWRmpr6Mz9FRMC8FPPx9o95/7v3OZRnjr/jsrsY3mo417S7hq71u5a9L0h5aDsUWg+ENW/Aoifh8FZ4byy0GWSGkkadrKtNRGoMDQcvYoGdvp28t+U9Zu6YSUG4ADCHZr+23bVc3e5q6sfWt7jCk8g/Bov/DitfhkgQbHY470YY+Ih5Z46IyI9obhqRKmh9+npe3/g6i/Ytira1q9OOGzrewGWtLqseQ7If3QnzH4Utn5iv3QnQdyL0/g24NbmeiBRTGBGpIgzDYMn+Jby+8XXWpa8DzMHJLm5+MTd2vJGejXpaeymmrFJXwBcPw/615uukpjDo/6DrNWB3/PR7RaRWUBgRsVgoEmLO7jm8sekNvj/2PWD2B7myzZWM7zSes7xnWVtgeYhEYPM080yJr3AQtoad4JI/meOUVMeQJVILnWq8sDOlMCJiEX/Yz7Tvp/H25rfZn7MfMG/NHdduHDd0vIGGcQ0trrACBAtg5Yuw5Fnw+8y2Fn3g0seg+QXW1iYip+TfuQvfjBn4Pv2Ulv/5D+5mTcv15yuMiFQyf9jP1O1TeX3j66TnpwNmp9QbOtzANe2uwevxWlxhJcg7CkufhVWvQMjsmEu7ETD4j9CwAsdHEZHTFvb5yJo9m8wZMyj4tngogQYTJ1J/wq/LdV8KIyKV5GQhpHF8Y27pdAujzxlNrDPW4got4NsPCyfDN++BETHvvOl2HQx8CLzNrK5OpNYxQiFyli7FN+MTchYswAgGzRUOBwn9+uEdPZqEQQOxu8u3E73CiEgFK7oc89rG10jPM0NIo7hG3N7ldkafM7p63BlT0Q5vM2cG/m6W+drhgQtuh/6/g7i61tYmUgsUbNsevQwTzsiItnvatsU7ejTey0fgbNCgwvavMCJSQYKRINO2T+OVja8ohJyuvavNTq57lpqvPUnQ+y5z3hvNeSNSrkJHj5I1axaZM2bg37I12u6oW5eky0eQPGoUng4dKuUuPoURkXIWMSJ8sfsL/rX+X+zNNu8caRjXkNu73M6Yc8YohPwcw4Af5sP8x+BQ4ZxVsXWgzz1wwa/Ak2BtfSLVmBEIkL1okXkZZtEiCJmze+NykXjxxXhHjyKhf39sLlel1qUwIlKOlh1YxnNrn2PrUfOvjLoxdflV119xVdur8Dg0w3SpRCKwZTosfBIytpttcfWh32/h/FvBVQv72IiUgWEYFGzegm/GDLJmzSKcmRldF9O5M95Ro0gacRnOOnUsq1FhRKQcbM7YzLPrnmVl2koA4l3xjO80nps63kScS6ONnpFIGDZ+ZIaSY7vMtoTGZn+SHjeDUyFP5GRChw/jm/kpvhnT8X//Q7Td2aABSVdeYV6GOeccCysspjAicgZSs1L557p/MnfPXMAcrGxcu3Hc3vV26sao42W5Cgfh2/dh0VPFA6clNYMB98F5N4Cjck8ri1RFRiBA9sKF+KZNJ2fJEgiHAbC53SRecgne0aOI790bm7PU899WKIURkTLICmTxyrev8N537xGKhLBh4/LWl/Ob835D04TyHQxIfiQUgPXvwOJ/QPYBsy25JVz0AHQdB46q9UtWpDIUbN1K5rTpZH36aYnLMLHnnot39GiShg/DUYW/FxVGREohFAkx7ftpvLD+BY75jwHQt0lfftvjt7Sr287i6mqZYAGsfROWPAO55t1K1DkL+k2Cbr8ApzoKS80WOnaMrE9nkTl9Ov6txXfDOBs0wDtqJN7Ro/G0bm1hhadPYUTkNC0/sJynVj/FD5nmtddW3lbc3/N++jfrb3FltVwgF1a/Bl8/D3mF4yN4m0Pfe+G8G8EVY219IuXICIXIWbIE37TpZC9cCIWDktlcLhIGDyZ5zGji+/Spcpdhfo7CiMjP2JO1h7+v/jsL9y0EwOvxcme3O7m63dW47OqnUGUEcmHtW/D1PyHnkNmWmGKGku43g1sdiaX68u/YQea0afhmziR8uHhQsphOnczLMBbfDXOmFEZETiE/lM+rG17lzc1vEoqEcNqcXNv+WiZ0m1A75o+proL5sO4/8PVzkGVOQEh8A+hzN/S8VeOUSLURzsoy54aZNp2CDcVzwzjq1sV7xRV4x4wmpl3NuDysMCLyI4Zh8NXer/jbqr9xINfsINm3aV9+f/7vae2tHtdfBQj54Zv/wtJnIDPVbIutC73vNAdPi1GglKrHCIfJXbHCvAwzfz6G32+ucDpJuOgikkePImHAAGzlPDeM1RRGRI6zN3svT656ksX7FgOQEp/CA+c/wKAWgyplSGSpAOEgbPgfLPkHHN1htnm8cMFt0GsCJDS0tj4RILBnD5nTp+P7ZCahtLRou+ecc/COGYP3istx1q9vYYUVS2FEBHMyuzc2vcHrG1/HH/bjtDsZ32k8t3e5XYOW1RThEGyeDoufhoxtZpvDY45R0uduqNvK2vqk1gnn5JL9xRdkTp9G/pq10Xa714t3xAi8o0cT07lTrfhDSGFEar1Vaat4bPljpGabp/J7pfTi4V4P65JMTRWJwLbZsPRZ2L/GbLPZodNo6DsRUrpaWp7UbEYkQt6aNfimTSdr7lyMvDxzhd1OfN++JI8ZTcKgQdg9tWtkYYURqbV8fh/PrH2Gad9PA6BhbEPuP/9+hp41tFb8JVLrGQbs+doMJT/ML25vM9ic/+asfqB/B1JOgvv3kzljBr4ZnxDcuzfa7j7rLPMyzMgrcTVqZGGF1lIYkVrHMAzm7ZnHEyuf4EjBEQDGtRvHxO4TSXDrTotaKW2DeUvw5mlgRMy2pj3MUNJuBNjt1tYn1VIkP5/s+fPJnDaNvBUrzQAM2OPjSbpsON7RY4g971z98YPCiNQyh3IP8deVf+WrvV8B5sBlj/Z+lO6NultcmVQJR3fB8hdg/bsQKjDb6p0DvX8D3a7VTMHyswzDoODbb8mcOo2szz8nkpMTXRd34YUkjxlN4qWXYo/Vv6XjKYxIrRAxIny8/WOeXfssOcEcnDYnt3a5ldu73o7HUbuuzcppyDkMK1+C1a9Cgc9si6tnjlNy/m2QWHtPp8vJhTIy8H0yk8xp0wjs2BFtdzVtinf0aLyjRuFupnmrTkVhRGq8tJw0/m/Z/7EybSUAXet35U99/kTbOm0trkyqPH+2OYDaihfBVzhWicMNXa4xz5Y06mhtfWKpoqHZM6dOJWfhIgiFALDFxpI0ZAjeMWOIO78nNl3m+1kKI1JjGYbBjB9m8NTqp8gJ5hDjiOGe7vdwXfvrcNgdVpcn1Uk4BN/NguX/hn2ritvbDDJDSZvB6uxai/h37cI3bTq+GTMIHT4cbY/p1pXksWNJuuwyHAnqf1YaCiNSIx3OO8xjyx9j0b5FAHRr0I2/9vsrLZNaWlyZVHt7V5mhZOvM4s6uDdqboaTLNZqYr4aK5OWR9cVcMqd+XGJMEEedOnhHjiR57Bg855xjYYXVm8KI1Dhzds3hLyv/gs/vw2V3cdd5d3Fzx5t1NkTK17E9sPJlWPcOBLLNtrj6Zp+SnrdAYmNr65MzVqIz6uzZRHJzzRV2O/H9+5E8diyJF19c44Zmt4LCiNQYmQWZ/HnFn5m7Zy4AHep24K/9/so5dfTXilSgAp/Zr2TlS+ArHD/C7oKOI6HXr6HZ+bqEU82Ejhwp7Iw6lcAPx3VGbdGC5DFj8I4eVavHBKkICiNSI6xIW8HDSx7mcP5hnDYnv+r6K27rehsuu8vq0qS2CIdg6yfm2ZK9K4vbU7rBBb+GzmN1CacKM0IhcpYuxTd1GtlffVXcGTUmhqShQ/GOHUPc+edrTJAKojAi1VowHORf3/yLtza9hYFBK28rJvefTKd6nawuTWqzA9/Aqldh40cQLpx1NbYu9LjZvD04ubml5UmxwJ49ZE6dZnZGTU+Ptsd07UrymDEkjbgMR2KihRXWDgojUm3t9u3mgSUPsOXIFgCubns1959/P7FODSYkVUTuEVj3Nqx+HbL2mW02O7QfYZ4t0ZDzlojk55P1xRf4pk4jb/XqaLujTh28V16Jd+wYYtrq1v/KpDAi1U7RLbuTV00mP5SP1+Plsd6PMbjlYKtLEzm5cAi2f25ewtm9pLi9YUezw2vXa8Cjv74rkmEYFGzcSObHU8n67LOSnVH79SV57FUkDlRnVKsojEi14vP7+POKP/PF7i8AuKDxBTzR7wkaxaszmVQTh7aYI7t++wEEC2dsdSdAl6ug5y/NPiZSbkJHj+KbORPf1Kn4v/8h2u5q3pzksWPwjhqFq7HufLKawohUG5syNvG7hb/jQO4BnDYnvznvN9zS6RbdsivVU34mfPNfWPMGHPm+uL1JdzOUdB4D7njLyqvOjHCY3KVLySzqjBoMAmDzeEgcOoTksVdpZNQqRmFEqjzDMHj/u/d5es3ThCIhmiU046kBT9GlQRerSxM5c4YBu5fC2jdhy0yImF+ceJLMyfl63KJh509TIDWVzGnT8E2fQejQoWh7TJcuJI8dQ9KIEeqMWkUpjEiVlhPI4U/L/hQdO+SSFpfweN/HSXTrF4rUQDmH4Zv3YO1bcGxXcXvzC82B1DqO0u3BPxLJzyd77lwyp04jb1XxUP2O5GSSrryC5LFXEdNOnVGrOoURqbK2Hd3G7xb9jj1Ze3DanPyu5++4vsP1us9far5IBHYthDVvwnefgRE222PrQLfroPuN0LCDpSVayTAMCjZtKu6MmpNjrrDZiO/Xj+SxY0gYNAi7OqNWGwojUuUYhsG076cxedVk/GE/jeMb8/eL/k63BurYJ7VQ9kFY/x9Y+3bxCK8ATXvAeTeag6nF1I7fd6Fjx8iaOZPMqdPwb98ebXc1a4Z3zGiSR4/GlZJiYYVSVgojUqX4w37+suIvzPhhBgD9m/bniX5PkByTbGldIpaLhOGHBea4JdvnQMQcIRRXnHn55rwboGWfGjduiREOk7tsGZkfTyX7yy9LdkYdMoTksWOIu+ACdUat5hRGpMo4mHuQiV9NZPORzdhtdu4+725+2fmX2G36JSNSQk66eWvw+v9ARvEZAuq2MUNJt19AUvU+QxDYu7e4M+rBg9H2mE6dSL5qrNkZVb/nawyFEakSVh9czX2L7uNowVG8Hi9PD3ia3k16W12WSNVmGLBvtTlz8ObpECjqO+GAcy41L+O0HQqO6jFHU6SggOx588j8eCp5K4vn93F4vSRdeSXJY8cQ0769hRVKRVEYEUsZhsF/v/svT69+mrARpn3d9jx78bM0S2xmdWki1Ys/B7bMgPXvQury4vb4BtDlavM24cZdq9xlHLMz6mYyp00la9ZnRLKzzRU2G/F9+pB81VgSBg9WZ9QaTmFELFMQKuDPK/7MzB0zAbis1WU82udRzS0jcqYyvjcv4XzzPuQWT/5Ggw5mKOl6DSQ1sa4+CjujfjqLzKlT8W/bFm13NW1a3Bm1ibU1SuVRGBFLHMw9yL1f3cuWI1tw2BxM6jGJGzveqNt2RcpTOAg7voRv34fvZhfPIIwNWl9s9i3pcHmljfRqdkZdTua0qeTMX4BR1BnV7S7ujNqrlzqj1kIKI1LpNh7eyD1f3UNGfgZ1PHV4+qKn6ZXSy+qyRGq2/EzzMs63H5S8jOOKh45XmmdMzuoPFTC9QmDfPnzTppM5fTqhtLRoe0zHjnivGot3xAgcXm+571eqD4URqVRzds3hD1//AX/Yz9nJZ/PC4BdomtDU6rJEapeju2DD/8wzJseP9JrUtLh/yRkOqhbx+8meN5/MqR+Tt3xFtN3u9eK94gqzM2qH2jtwm5SkMCKVwjAMXvr2JaZ8OwWAAc0G8NSAp4h3aSIwEcsYBuxdZYaSzdOgwFe8rmEncybhzmOhTsvT/pEFW7eS+fFUfLNmEfEV/jybjfjevfGOHUPiJZdg93jK+YNIdacwIhWuIFTAH7/+I5/v/hyAmzrexKQekzTbrkhVEiwwB1P79gP4YX7xhH0AzS4wg0mn0ZDQ8IS3hn0+fLMKO6Nu2RptdzZJIXn0GLyjR+NupjOgcmoKI1KhMvIzuPfLe9mQsQGnzckfLvwDY9uOtbosEfkpeUdh60zY+LE5ozCFv/5tdmh1EXS5CqPdCPK+/Y7MqdPInjsXIxAwN3G5SLhkMMljryK+94XYHPqjQ36ewohUmB+O/cAdC+7gYO5BktxJPHvxs1yQcoHVZYlIaWSlmQOqbfoY9q8lmGsnc1ccvt3xBHOKg4anXTuSx44l6YrLcdapY2HBUh2d7ve3sxJrkhpg9cHV3PvlvWQHszkr6SxeGPwCLZNO/7qziFQRSSkYPW4j29eGzK//Q+7KtdETJXZXhKSW+SS3NYjpUx9b57qQoHGCpOIojMhp+3zX5zyy9BGCkSDnNTyP5wc+r4nuRKqhgu3b8U2dim/mp4SPHYu2x11wAcmXXEBi/TTs2z4BXyps+sh8uBOh3TDoOBLOvgRcCidSfnSZRn6WYRi8tfktnln7DACXtryUJ/o9QYwzxuLKROR0hXNyyPpsNplTp1KwYUO03dmwId7Ro0keMxp3y+POchbdkbNlBmz5BLL2F69zJ5hz43QcCWdfCu64yvsgUq2oz4iUi3AkzN9W/433v3sfgBs63MB9Pe/THTMi1YBhGOSvWUPmx1PJ+uILjIICc4XTSeLAgXjHjiGhXz9szp85SR6JwP61xcHEt7d4nSse2g4xg8k5Qypt1FepHhRG5IwVhAp4YPEDfLn3SwDu73k/N3W6yeKqROTnBNPT8c34BN/UqQT27Im2u9u0IXnsWLwjr8RZr17ZfrhhwP51sGW6GUwyU4vXOWPNWYU7jTKDiSfxzD6IVHsKI3JGfH4fdy24i28Of4PL7uKJ/k8w7KxhVpclIqdgBIPkLFpE5sdTyVmyBMJhAOxxcSReNpzksWOJPffc8p0nyjDgwPriMybHdhevc7jNeXLaXw7thp90HBOp+RRGpMwO5x3m1/N/zffHvifRncjzA5+nZ+OeVpclIifh37mTzKlT8X0yk3BGRrQ9tnt385bcYUOxx1fCpRPDgLRvzVCy5RM4uuO4lTZo3gvajzAf9dpUfD1SJSiMSJnszd7Lr+b+in05+6gfW5+XLnmJdnXbWV2WiBwnkptL1pw5ZE6dRv66ddF2R716eEeNJHnsWDytW1tXoGHA4W3w3Sz47jM4sK7k+oYdi4NJyrmgWb1rLIURKbXvj33Pr+f9msP5h2mW0IxXLn2F5knNrS5LRCjsjPrNN2ROnUr27M+J5OWZKxwOEgYMIPmqsSQMGIDN5bK20JPx7YNtn5vhZPdSiISK1yU1g/aXmZdzWvYBRxWsX8pMYURK5dvD33Ln/DvJCmRxdvLZvHLpKzSIa2B1WSK1XujIEXwzPiFz2jQCO4ovfbhbtsQ7dizekSNxNapG/THyj8H382Drp/DDAgjmFq+LSTY7wLYdBmcPhliN+FrdKYzIaVt2YBkTv5pIfiifbg268e/B/8br8VpdlkitZYRC5Cxdim/qVLK/Wggh80yCLSaGpKFDSb5qLLE9e5ZvZ1QrBPNh5yL47lPzzEnekeJ1Nge0uNAcz6TtMKjfVpdzqiGFETkt8/bM4/eLf08oEqJPkz48e/GzxLk0gJGIFQJ79pA5bTq+6dMJpadH22O6djU7o464DEdCgoUVVqBI2Bxkbfsc2P4FHN5acn2ds8xQ0nYotOwLTo8lZUrpVGgYmTJlCk8//TRpaWl06tSJ5557jv79+59022nTpvHiiy/yzTff4Pf76dSpE48++ihDhw4t9w8jpfPZzs94ZOkjhI0wQ88ayuR+k3Hpeq1IpYrk55M9dy6ZH08lb/XqaLsjORnvyCvxjh1LTNu2FlZokWO7YftcM5zsXgLhQPE6dwK0GWiGk3OG6LbhKqzCwsiHH37IjTfeyJQpU+jbty8vv/wyr732Glu2bKFFixYnbD9x4kSaNGnCwIEDSU5O5s033+Tvf/87K1eu5LzzzivXDyOn75MfPuH/vv4/DAxGthnJY30e06iqIpXEMAwKvv2WzGnTyZo9m0hOjrnCZiO+Xz+Sx44lcdBAbG63tYVWFf4c2LnQDCbfz4WcQyXXN+1hDkt/9iXQtDvod1mVUWFhpFevXnTv3p0XX3wx2tahQwdGjRrF5MmTT+tndOrUiXHjxvHHP/7xtLZXGClfH2//mMeXP46BwdVtr+YPF/4Bu81udVkiNV7o8GF8M2eSOW16ic6orqZN8Y4dQ/Lo0bhSUiyssBqIRCDtG/NSzvY55vLxYpKhzSAzmJw9GBIbW1CkFDnd7+9SzdobCARYu3YtDz74YIn2IUOGsGzZstP6GZFIhOzsbOrWrXvKbfx+P36/P/o6KyurNGXKT3j/u/d5YuUTAFzX/joevODB6t8JTqQKMwIBshctwjdtOjmLF0dHRjU7ow7BO3oMcRecj82uPwhOi91unv1o2h0GPgRZaebZkh0LYMdCKMiEzdPMB0CjLmYoOfsSc+A1p842VUWlCiMZGRmEw2EaNWpUor1Ro0YcPHjwtH7GP/7xD3Jzc7nmmmtOuc3kyZN57LHHSlOanIa3N7/N39f8HYDxncYzqcckBRGRClKwbTu+adPwffop4aNHo+2x556Ld8xokoYPx5GouVvOWFIK9LjZfIRDsH8N/DDffBxYD4c2mo+vnzP7mrS6CM4uPHNS5yyrq5dCpQojRX78BWYYxml9qb3//vs8+uijfPLJJzRseOoORw899BCTJk2Kvs7KyqJ5cw2+dSZe2/ga/1z3TwBu73I7d593t4KISDkL+3xkzZ5N5tRpFGzaFG13NKhP8siReEePxtNGQ6FXGIfTvB24xYUw6A+Qcxh2flUYThZAXgZs+8x8ANQ7G9oMNufQOasvxGhIA6uUKozUr18fh8NxwlmQ9PT0E86W/NiHH37IrbfeykcffcQll1zyk9t6PB48Ht22VV5e3fAqz69/HoA7z72TCV0nKIiIlBMjHCZ3xQp8U6eRPX8+RqDwrg+nk8SBA/GOGU1C//7YnGX620/OREID6HqN+YhE4OCG4mCydyUc+cF8rHrZHNekaQ8zmLS+GJqdr0s6lahMHVh79OjBlClTom0dO3Zk5MiRp+zA+v777/PLX/6S999/n1GjRpW6SHVgLbs3N73JM2ufAeDe7vdyW5fbLK5IpGYIpKaSOX06vhmfEEpLi7Z72rYleewYkq64AudP9I0TixX4zDt0ih5Hd5Zc74o3h6cvCieNOmnQtTKokA6sAJMmTeLGG2+kZ8+e9O7dm1deeYXU1FQmTJgAmJdY9u/fzzvvvAOYQeSmm27in//8JxdeeGH0rEpsbCxer06JVaT/bPlPNIjcde5dCiIiZyiSl0fW3Ln4pk4rMSaIPSkJ7+Uj8I4ZS0ynjjrzWB3EeKHjSPMBkJlqjgZbFE7yMuCHeeYDIL6B2d+kKJwkq+tAeSrzoGdPPfUUaWlpdO7cmWeffZYBAwYAMH78eHbv3s3ChQsBuPjii1m0aNEJP+Pmm2/mrbfeOq396cxI6R1/18yEbhP4zbm/sbgikerJMAzy139D5rSpZH8+h0hu4VwqNhvxffqQPHYMCYMHY9el5ZojEoH0LcXBZM/XEMwruU3dNtD6IjirH7TsB4k/3VWhttJw8LXYR9s/4vHljwNwa+dbubf7vfpLTaSUgofS8c38BN+06QR27Yq2u1q0IHnMaHOCOo0JUjuEArBvdXE42b8WjHDJbeq3NYPJWf3NZ40KCyiM1FrTv5/OH5eZg8nd3PFmftfzdwoiIqfJCATI/mohvmnTyFmyxPwLGbDFxpoT1I0dUzMmqJMzU+CD3V/D7qXmUPUHNwI/+iqt364wnPSr1eFEYaQW+nTHpzyy9BEMDK7vcD0PnP+AfmmK/AzDMPBv3UrmjBlkzfyUcGZmdF1s9+4kjx1D4tBhOBLirStSqra8o5C6/LhwsgmFE5PCSC0zf898frfod0SMCOPajeORXo8oiIj8hNDhw/g+nYVvxgz827dH250NG+IdORLvmNF4WrWysEKptk43nLTsDS16m+OiJLeskXfrKIzUIssPLOc3C35DMBJk9NmjebTPo5prRuQkIn4/OV99hW/6DHKWLi0emt3tJmHwIJJHjSK+b1+NCSLlK+8o7FlWGE6WmiPC/lhiEzOUtOxjPjfsWCMm/FMYqSW+Pfwtt8+9nfxQPpe2vJSnBzyt2XdFjmMYBgUbNpiXYWZ/TsTni66L7dYN7+hR5tDsGmpAKkveUUhdAanLzOcD6yESKrmNxwvNLyg+e9KkO7hirKn3DCiM1ALbj21n/JzxZAey6dOkD/8a9C/cDo0YKAIQPHgQ38xP8c2YQWBn8YBWzsaNzcswI0fiaa3LMFIFBPLMO3RSl5uPvasgkFNyG4fbDCRFZ0+aXwCxdayptxQURmq4vVl7uWnOTWTkZ9CtQTdeufQV4lxxVpclYqlIfj7Z8xfgmz6d3OXLofDXmy0mhsQhl5I8ahRxvXphc+jsoVRh4RAc2lR89mTPcshNP3G7+m2h2QXQ/HzzuUG7KndpR2GkBkvPS+emz29if85+2tZpyxtD38Dr0SlmqZ0MwyB/3Toyp08vOSgZENezJ97Ro0gcOhRHQoKFVYqcAcMwh6s/Ppwc3XHidp4kaNq9MKBcAM16Wn72RGGkhsosyGT8nPHs8O2gRWIL3h7+NvVj61tdlkilC+zbj++TGfg+mUkwNTXa7mrWzLwMM2okbs32LTVV7hFzILZ9q8zLOvvXQTD3xO1OOHvSHuyVd4ODwkgNlBfM47a5t7ExYyMN4xryzvB3aJrQ1OqyRCpNJDeXrC/m4psxg7xVq6Lt9rg4EocNI3n0KGJ79MBWib9sRaqEcMgcwn7fKti72gwqP3f2pFlPc6bi+Ir7g1ZhpIYJRULc+9W9LN63GK/Hy9vD3qZNchuryxKpcEY4TN7Klfg+mUnW3LkY+fnmCpuN+N4X4h01isRLLsEepz5TIiWc7tmTOmeZoaTnrXBW33ItocJm7ZXKZxgGf1nxFxbvW4zH4eGFQS8oiEiNV7BtG76ZM8n6dBah9OLOe+6zzsI7ahTekVdqbhiRnxJfD9oNMx9w3NmT1bBvDexfAxnb4dhu89F+hGWlKoxUAy99+xJTv5+K3WbnqQFPcW7Dc60uSaRCBA+lkzVrFr6ZM/Fv2xZtt3u9JA0fRvKoUcR066bRhUXKwuGElK7m4/xbzbb8THOck/1roEUfy0pTGKnipm6fypRvpwDwSK9HGNRikMUViZSvSG4uWfPmkTVzJrnLVxTfjutykXDxxXhHXkn8gAHY3RpDR6TcxSZDm4Hmw0IKI1XY4n2L+fOKPwNwe5fbuabdNRZXJFI+jFCI3OUr8M2cSfb8+cX9QIDYHj3wXnEFScOG4khOtq5IEak0CiNV1MbDG7lv0X2EjTBXtrmSu8+72+qSRM5I0ey4vk9m4pv9GeHDGdF17pYtSRp5Jd4rrtDtuCK1kMJIFZSalcpvFvyG/FA+fZv05dE+j+oauVRbwbQ0fJ/OIuvTmfi//yHa7qhTh6TLLsN75RXEdO2qf+MitZjCSBWTWZDJHfPv4Jj/GB3qduCZi5/BZXdZXZZIqYRzcsj+Yi6+mTPN8UCK+oG43SQMGoT3yitJ6N8Pm0v/tkVEYaRKCYaDTFw4kdTsVJrEN2HKJVM034xUG5FAgNwlS/DNmkXOl19h+P3RdXHnn4935JXmsOyJiRZWKSJVkcJIFWEYBo8uf5S1h9YS74rnhcEvaJh3qfKMcJi81avJ+uwzsr6YSyQrK7rO3bo13iuvxHvF5biaaqRgETk1hZEq4rWNrzFzx0wcNgf/uOgfnFPnHKtLEjkpwzAo2LSZrFmzyJo9m9Dhw9F1zoYNSRoxgqQRI4jp1FH9QETktCiMVAFf7P6C59c/D8BDFzxE36blOxyvSHnw79xlBpDPPiOwZ0+03e71kjRkCEmXX05czx7YHFVrCnMRqfoURiy24fAGHln6CAA3dLiBce3HWVyRSLHgwYNkzf6crFmzKNiyJdpui4khcdAgki6/nIR+fbFpQDIROQMKIxY6kHOAe768B3/Yz4BmA7iv531WlyRCODOTrC/mkvXZZ+StXh29Ewank/i+ffBefjmJgwZhj4+3tlARqTEURiySG8zlri/v4kjBEdrVacdTA57CYdfpbbFGJC+P7K++ImvWZ+QsXQrBYHRdbM8eZgAZOhRnnToWVikiNZXCiAUiRoRHlj7C98e+p35sfV4Y/ALxLv2VKZUrUlBAzqLFZH3+OTkLF2IUFETXedq3x3v5CJIuuwxXkyYWVikitYHCiAVe+vYlFqQuwGV38dzA52gc39jqkqSWiPj95C5dStbsz8n+6iuMvLzoOlfz5iRdPgLviBF4zj7bwipFpLZRGKlk8/fM58VvXwTgj73/SLcG3SyuSGo6IxAg5+uvyZ4zh+wFXxLJyYmuczVpQuLwYSQNv0y34oqIZRRGKtH2Y9t5eOnDgHnnzKizR1lbkNRYRjBI7ooVZH0+h+z580sMRuZs1IikYcNIumy45oQRkSqhVoeRP8zYyNzNh7DZwG6zYbfZjlvmR6/NZdtx6+w2cNhtuBz2wocNp8OO22HH6bBF21wOO2FyWZD1MPmRfJp4uhCXM4pXFu/A7bAT43IUPux4nA48rsK2Esvms8dpx+mwW33opAoyQiHyVq0i6/PPyZ47j7DPF13naFCfpKFmAIk991xsdv0bEpGqo1aHEV9+iPRs/89veMbCxLZ4A2d8OpFAXbZtH8W28A8//7ZTcNpt0WAS4zIDS7zbSazbQbzbQZzHaT67ncS5HcR7Cp/dTuI8DuIK15342qGgU80YoRB5a9aQNWeOGUCOHo2uc9StS+LQISQNH05cDw1GJiJVl80wigYRqLqysrLwer34fD6SkpLK7efuO5aHLz+IYZhDKUQMo/BhDnl9sueibQwgEjEIRQyC4QihsPkcDBuEIhECoYi5LhRhybHX2Jo7G6cthosT/0wcTaPbBkIR/KEwBcEIBcEwBaEw/mCEguPa/CHz51UGt9NOgsdJgsdJYkzRs4vEmOLXCTGFbT+xjUJNxTECAXJXriR77lyy5y8gfOxYdJ0jOZnESy8l6bLhxJ1/PjZnrf57Q0Qsdrrf37X6N1WzOnE0q+BhEz754RO27psNwN8vfpLBLQaX6edEIgb+UHE4KQouRYElPxAmNxAiLxAmzx8iNxAmL/r6uHWFz7n+otfmcihiZtJAKMLRUICjuYEz+tyxLkdhaHGSWBhgkmJcJMW48Ma58Ma6SIpxkhRbuFz4bLa7cDsVZo4XKSgg9+uvzQDy5VdEsrOj6xxeLwmXDCZp2HDiL+yFzeWysFIRkdKr1WGkon139Dv+vOLPANzR7Y4yBxEAu91GrNtBrLtiTrUHQhHyAmaIyfWHyC4IkV0QJKdwOafwdfbxr/3BwufitvxgGID8YJj8YJjDZbwMFutyFIeTWGeJwJIUc1xwOT7EFG4X63LUiE6ZkdxcchYvJmvuXHIWLS5xG66jfn0SLxlM0tChOgMiItWefoNVEJ/fx8SvJuIP++nftD8Tuk2wuqSf5HbacTvdJMed2c8JhiPHhZmSgSarIEhWfhBffpCs/BC+wmVffpCsAvM5uyAEFIeZg1kFP7PHE7kcNryxbpLjXNSJc5VYTo4zl5ML25IL2+rEVY0QE87OJuerr8iaO5fcJUsx/MVhzpmSQuKll5A0ZAix552nPiAiUmMojFSAiBHh4aUPsz9nP00TmjK5/2Tsttpx2cHlsBd+4Zdt4rRwxCCn4ORBJfq6xLpQidfhiEEwbJCR4ycjp3RnZdwOO96i0PKjsFIUYOrEmZeZkmPd1Ik3n8/0bFXo6FFyvvzSDCDLV5QYit3VvDlJQ4eQOGQIMV26WB6WREQqgsJIBXhlwyss3rcYj8PDsxc/i9fjtbqkasNht5l9SuJK3+/BMAzyAmF8+UEy84Jk5gfM5xLLAY7lBfEVth0rbAuGDQLhCIez/aW+tORx2k8421Inzl0cWn4UaurEuYnPSMP/1Vdkf/kl+evXQ6S4g7K7TRsSh1xK0pAheNq3VwARkRpPYaScfb3/a6Z8MwWAP1z4BzrU62BxRbWHzWYj3uMk3uOkSXLsab+vKMRk5gc5lhuIhpljeebysdwAmUUBJ69o2Qw3ocKOxYey/BzKOnWIsRkRzsncR++0TfRO20zL7EMl1h9s0ILdnS4g/bw+2M9qZYaZXBd1tqZTJ9681FSnsOOv7lQSkZpGYaQc7c/ZzwNLHsDA4Kq2V2mE1Wri+BDTtJQhJjcQjgaYY4UBJTM/SGZugKzsPGI3rydl4ypaf7+OpNziQchCNjsb67dhReNOrEjpSHpcXXPFrgjs2vGT+02McVInruiSkflcJ86NN9a8xFQnvmjZHT1DkxTj1BkWEamyFEbKiT/sZ9LCSfj8PjrX68xDFzxkdUlSwWw2W3RMluaFbWGfj5zFi8le8CW5S5YQyc2Nbm+PiyN+wAASBg7EuLAvSc4YOuUFGZNX8hJS0dmX6HLhWZqizr1FnYNTj56kqFNw2G14Y4svISXHFnfcLe7EW/IyU3IV6dQrIjWfwkg5eXLVk2w5soVkTzLPXPwMbkfZOnBK9RPYs4echQvJXriQvNVrIBSKrnM2aEDCoEEkXjKYuF69sLuL/13UAVrWO/39hMKRwjMwQXz5AY7lHncp6bi+MMXL5nN+MEw4YnA0t2j8mNyf3VcRt9NeokNvcWD5UV+YWPOMTFHfGY0TIyKloTBSDmbvnM3H2z/Gho2/9f8bKQkpVpckFcgIBMhbu5achYvIWbSIwO7dJda7z25D4qDBJF4ymJjOncttHhinw069BA/1Ejylel9BMFwcWHILg0xRn5i84y4vFS3nH9ep9zT6w5xMvNtRosNuyTMuReHluCAT5yYp1oXDrrMwIrWRwsgZ2u3bzWPLHwPgV11/RZ+mfSyuSCpCKCODnEWLyVm0iNyvvy5x+QWnk7iePUm46CISBw3E3bKldYWeRNFEjI2SYk77PUX9YY6/TFTyUlLRcnHn3qKzNIaBOXheIJ/9mfmnvU+bDZJiXKfoC+Mu7Mhb3BemKOAkeNQfRqS6Uxg5A/6wn/sW3UdeKI+ejXpyR7c7rC5JyokRiVCweQs5i8yzHwUbN5ZY76hXj4QBA0i46CLi+/bBkZhoUaUV4/j+MKWZMiESMcgqCJYMMIWXlE7VFyYzzxwYzzCIjhfDkbyf31khp91W4tJR0Z1HRR15T/ZIKpyOQHcmiVQNCiNn4OnVT7Pt2DbqxtTlbwP+hsOuETGrs7DPR+7y5eQsWULO4sWED2eUWB/TqRMJF11EwsCLienUqdwuv9QkdrstOujdWcSf9vuC4UiJW6eP5R4XZH58Jua4S0r+wgkpM3ICZOSUfj6lBI+zRDg5WWj58XLRtAMep/5/FykvCiNlNGf3HD7c9iE2bEzuN5mGcQ2tLklKyQiFyN+wkdylS8n5eikFGzeVGHzMHhdHfN8+JFx8MfH9++NqqP/GFcXlsNMg0UODxNL3hynqC1M0sN2PLykdP2pv0XNuwJxDKccfIscfKtXlpCIxLnuJyR1PDC0nOyNTs+ZPEikvCiNlkJqVyqPLHgXgti63qZ9INRI8cICcpUvJXfo1uStWEMnKKrHefXYbEvr2I+GiAcT27Fni7hepemJcDlK8saR4T398GDDPxGT/eNqBkyz/eCoCX545WaRhUDhjduk790LR/EkuEmNcJBbOaJ1YNMt14ezWJV7HFm9T9KxLTFKTKIyUUiAc4L5F95EbzKV7w+7cee6dVpckPyGSn0/e6tXRABLYubPEervXS3zv3iT060t83764UnQnVG3gctipG++mbnzpw2YkYpDtD500vJScUyl0YrjJN0ftNedPKtulpSKxLocZTmJd0dBSFFaSfhRkEj2ukq9jXCR6nNh195JUEQojpfSPNf9g69GtJHuS+duAv+G06xBWJUYwSP7GTeStXEHuipXkr1+PETjuF77dTmy3bsT360tCv37mrbea/VZKwV44gJw31hUd7O50HT9/UtEs1dkFweis1iWeT7E+r/ASU9HM1umlnEvpeIkeZ4kgkxjjJCHGRYLHUdiB2UW8xww9J10ufNZZGjlT+iYthYV7F/Lf7/4LwBP9nqBxfGNrCxKMSAT/tm3kLl9B7soV5K9eQySv5J0YziYpJPTtR3y/fsT3vhBHUpJF1UptV9b5k44XCkfI8YfIyi8OKNkF5pmY7ONf54fI9pcMNkXb+ENm36hsf4hsfwh8BWf0uWJcdhIKz77EHxdkEjwOEmKOW/YcH3Zchesc0XAT79bZmtpKYeQ0Hc47zB+//iMAN3e8mf7N+ltcUe1kGAaBXbujZz7yVq4knJlZYhtHcjJxvXoRf2Ev4npdiLvVWeosKDWG02GP3rFUVv5QODqtQDS4FJj9YXIKQuQWduzN9hcuFxy3fNzrQGGoKeo/k5FT9rM0RRI8xwcaJ3FuZ2GAc5jLbgdxnuLnhGi7k7jCQBPndhDvMZ89Trv+/68GFEZOQ8SI8MjSRzjmP0b7uu25p/s9VpdUa0TDx9o15K9ZQ+6KlYQOlZzx1h4XR+z5PYm/sDfxF/bC066dbrsV+QkepwNPgoP6pRzN98cCoUhxQDkuqJxyOVDclus3w1DR+nDEAIrvcDrEmQcbMMehOT6cRJ9/KuS4zfb4aBgqDjlxbicxLgWc8qYwchr+s+U/LE9bTowjhr8N+JvmnalARjiMf/t28lavIW/tWvLWrCF85EiJbWwuF7Hdu0fPfMR26YzN5bKoYpHay+2043a6qVOGjsDHMwwDf8i8wyl6VqYwqOQFzH4yuf7C54C5TZ7fXP7xujx/mBx/KHopKhQxyCq8RFVebDazA3Gsy0Gs20Gcu3g51mUGluJlR4nlmML1xcuOE7aNcTpq3eUqhZGf8d3R7/jnun8CcP/599Pa29riimoWIxAgf9Nm8tauIW/NGvLXrSeSnV1iG5vbTWy3bsT27EH8+ecT27079pjTH9pcRKo2m80WnbagtGPNnEooHCEvGC4OLdHwEiLHHybPHyI3cNxzIESuP1y4vmTIKVqXHzQ7DxsGhe3h0sw7WSoxLrsZao4LPEXhpUSQcTmILQo3TrsZZgqPZdF7Y5wOYt12PM7i4BPjclSpuaAURn5Cfiif3y/+PcFIkIHNB3J126utLqnaCx05Qv433xQ+viV/40aMgpKd5+zx8cR2705cz57E9exBTJcuGu9DRErF6bCT5LCTFFN+Z03DEYP8oBlOCgIR8oJmWCkoDCb5wTD5heElPxghPxAq3N5sjy4ft11BMFK4fZiCYPGgi2Y/nLLf+n063A47MS67GVzcDh65rANDOllzY4bCyE94evXT7PLtokFsAx7r85iuEZaSEQxS8N028r/9NhpAgvv2nbCdo06daPCI7dmTmHbtsDn1T1NEqhaHvXjOpooQKQw7xWElXBx+CoNMXiAcXc4/bn1eIIw/GKGg6P2F4aYgGC5uC4Sjl68AAuEIgXAkegkrGDYq5HOdDv3GP4UFqQv4aPtHAPy131+pE1OK2cJqIcMwCKWlkb9pU2H4+JaCTZsw/D/qhGaz4Tn7bGLP7UbsuecSe955uFu1UtATkVrPbi++9buiRCJm/5ySocV8tKqfUGH7/TkKIyeRnpceHe59fKfx9G7S29qCqhjDMAgdPEjB5s3kb9pEweYtFGzaRPjYsRO2tXu9xHbravb5OPdcYrt2rXEz3IqIVBd2u83sN+J2UJX+xFYY+RHDMPjjsj+S6c+kQ90O3HNe7b6N1zAMQocOUbDFDBz5mzdTsGnzCXe4AOB04jnnHGK7dDGDx7ndcJ91lm6zFRGRn6Qw8iMff/8xX+//GrfdzeT+k3E5as8to5H8fPzff0/Btm34t23Hv20bBdu3E/H5TtzY4cBz9tnEdO5ETKdOxHbujKddO+ye8ukJLyIitYfCyHH2Zu3l6dVPA3Bv93tpk9zG4ooqhhEKEdi7l8DOnSWCR2DPHvOetR9zOPC0bk1M587EdO5EbKdOeNq31+21IiJSLhRGCoUjYR75+hHyQ/n0bNSTGzreYHVJZyySl4d/5y4Cu3bi37GDwM5d+HfuILAnFYLBk77HUbcuMe3b4WnXHk+7tsS0a4e7TRvdWisiIhVGYaTQO1veYX36euKccfyl31+w26pHP4dIXh6BvfsI7k0lkLqXwN5Ugql78e/aSehA2infZ4uJwd26FTHntMXTrl00eDjr16/E6kVERMoYRqZMmcLTTz9NWloanTp14rnnnqN//1NPHLdo0SImTZrE5s2badKkCb///e+ZMGFCmYsub9uPbedf6/8FwIMXPEjThKYWV1QsUlBA6OBBggcPEkw7SHD//uOCx17CGRk/+X5H3bq4W7fC07qN+dymDZ7WrXGmpKhjqYiIVAmlDiMffvghEydOZMqUKfTt25eXX36Z4cOHs2XLFlq0aHHC9rt27eKyyy7j9ttv59133+Xrr7/mzjvvpEGDBowdO7ZcPsSZCIaDPLzkYYKRIBc1u4hRZ4+qlP0a4TDhY8cIHTlK+EgGoSNHCB48SCitMHgcTCOUdvCkt8v+mN3rxd28Oe4WzXE1M5/drVrhbt0aZ52qdPOWiIjIiWyGcbIei6fWq1cvunfvzosvvhht69ChA6NGjWLy5MknbP/AAw8wc+ZMtm7dGm2bMGEC3377LcuXLz+tfWZlZeH1evH5fCQlJZWm3J/1/LrneXXjqyR7kpk+cjr1Y0t3mcIwDIyCAsJZWUSysggXPszlbMJZPiJZWWboOHqEUMYRQkeOmCEjEvn5HQC22FhcjRvjSmmMMyUFd/MWZvAofHZ4vWX56CIiIhXqdL+/S3VmJBAIsHbtWh588MES7UOGDGHZsmUnfc/y5csZMmRIibahQ4fy+uuvEwwGcZ1ktlW/34//uJE7s7KySlPmadv4zvOE5r7MrRGDvo3aEtj0HAfCEYxwCMIRjEgYQiEiBX6M/HwiBQVECvIx8guIFBRE2043VJzAZsORnIyzfj0cdevhbNQQV+MUM3Q0bowrJQVX48bYvV6NUCoiIjVWqcJIRkYG4XCYRo0alWhv1KgRBw8ePOl7Dh48eNLtQ6EQGRkZpKSknPCeyZMn89hjj5WmtFIzDIMtn73H8G+LgsQyTjKaxulzOHAkJmL3JuFITMKRlIQ9yXx2JCXiqFPXDB316heGj7o469bVHCwiIlLrlemb8Md/pRuG8ZN/uZ9s+5O1F3nooYeYNGlS9HVWVhbNmzcvS6k/WdN5V01gZcr/uLjlYGLcsdgcTnDYsdkd5nPha3tMLPbYGGwxMdhjY7HHxmI7vi0uHnt8nM5eiIiIlEGpwkj9+vVxOBwnnAVJT08/4exHkcaNG590e6fTSb169U76Ho/Hg6cSRvJse/UttL36lgrfj4iIiJxaqe7tdLvd9OjRg3nz5pVonzdvHn369Dnpe3r37n3C9nPnzqVnz54n7S8iIiIitUupB5qYNGkSr732Gm+88QZbt27lt7/9LampqdFxQx566CFuuumm6PYTJkxgz549TJo0ia1bt/LGG2/w+uuvc99995XfpxAREZFqq9R9RsaNG8eRI0d4/PHHSUtLo3PnzsyePZuWLVsCkJaWRmpqanT7Vq1aMXv2bH7729/y73//myZNmvD8889XiTFGRERExHqlHmfEChU5zoiIiIhUjNP9/tZ44CIiImIphRERERGxlMKIiIiIWEphRERERCylMCIiIiKWUhgRERERSymMiIiIiKUURkRERMRSCiMiIiJiqVIPB2+FokFis7KyLK5ERERETlfR9/bPDfZeLcJIdnY2AM2bN7e4EhERESmt7OxsvF7vKddXi7lpIpEIBw4cIDExEZvNVm4/Nysri+bNm7N3717NeVPBdKwrh45z5dBxrhw6zpWnoo61YRhkZ2fTpEkT7PZT9wypFmdG7HY7zZo1q7Cfn5SUpH/olUTHunLoOFcOHefKoeNceSriWP/UGZEi6sAqIiIillIYEREREUvV6jDi8Xj405/+hMfjsbqUGk/HunLoOFcOHefKoeNceaw+1tWiA6uIiIjUXLX6zIiIiIhYT2FERERELKUwIiIiIpZSGBERERFL1eowMmXKFFq1akVMTAw9evRgyZIlVpdUbUyePJnzzz+fxMREGjZsyKhRo9i2bVuJbQzD4NFHH6VJkybExsZy8cUXs3nz5hLb+P1+7r77burXr098fDxXXnkl+/btq8yPUq1MnjwZm83GxIkTo206zuVn//793HDDDdSrV4+4uDjOPfdc1q5dG12vY33mQqEQf/jDH2jVqhWxsbG0bt2axx9/nEgkEt1Gx7lsFi9ezBVXXEGTJk2w2WzMmDGjxPryOq7Hjh3jxhtvxOv14vV6ufHGG8nMzDyz4o1a6oMPPjBcLpfx6quvGlu2bDHuvfdeIz4+3tizZ4/VpVULQ4cONd58801j06ZNxjfffGOMGDHCaNGihZGTkxPd5sknnzQSExONqVOnGhs3bjTGjRtnpKSkGFlZWdFtJkyYYDRt2tSYN2+esW7dOmPgwIFGt27djFAoZMXHqtJWrVplnHXWWUbXrl2Ne++9N9qu41w+jh49arRs2dIYP368sXLlSmPXrl3G/PnzjR9++CG6jY71mfvLX/5i1KtXz5g1a5axa9cu46OPPjISEhKM5557LrqNjnPZzJ4923jkkUeMqVOnGoAxffr0EuvL67gOGzbM6Ny5s7Fs2TJj2bJlRufOnY3LL7/8jGqvtWHkggsuMCZMmFCirX379saDDz5oUUXVW3p6ugEYixYtMgzDMCKRiNG4cWPjySefjG5TUFBgeL1e46WXXjIMwzAyMzMNl8tlfPDBB9Ft9u/fb9jtdmPOnDmV+wGquOzsbOOcc84x5s2bZ1x00UXRMKLjXH4eeOABo1+/fqdcr2NdPkaMGGH88pe/LNE2ZswY44YbbjAMQ8e5vPw4jJTXcd2yZYsBGCtWrIhus3z5cgMwvvvuuzLXWysv0wQCAdauXcuQIUNKtA8ZMoRly5ZZVFX15vP5AKhbty4Au3bt4uDBgyWOscfj4aKLLooe47Vr1xIMBkts06RJEzp37qz/Dj/ym9/8hhEjRnDJJZeUaNdxLj8zZ86kZ8+eXH311TRs2JDzzjuPV199Nbpex7p89OvXjwULFrB9+3YAvv32W5YuXcpll10G6DhXlPI6rsuXL8fr9dKrV6/oNhdeeCFer/eMjn21mCivvGVkZBAOh2nUqFGJ9kaNGnHw4EGLqqq+DMNg0qRJ9OvXj86dOwNEj+PJjvGePXui27jdburUqXPCNvrvUOyDDz5g3bp1rF69+oR1Os7lZ+fOnbz44otMmjSJhx9+mFWrVnHPPffg8Xi46aabdKzLyQMPPIDP56N9+/Y4HA7C4TB//etf+cUvfgHo33RFKa/jevDgQRo2bHjCz2/YsOEZHftaGUaK2Gy2Eq8NwzihTX7eXXfdxYYNG1i6dOkJ68pyjPXfodjevXu59957mTt3LjExMafcTsf5zEUiEXr27MkTTzwBwHnnncfmzZt58cUXuemmm6Lb6VifmQ8//JB3332X//73v3Tq1IlvvvmGiRMn0qRJE26++ebodjrOFaM8juvJtj/TY18rL9PUr18fh8NxQopLT08/ITXKT7v77ruZOXMmX331Fc2aNYu2N27cGOAnj3Hjxo0JBAIcO3bslNvUdmvXriU9PZ0ePXrgdDpxOp0sWrSI559/HqfTGT1OOs5nLiUlhY4dO5Zo69ChA6mpqYD+TZeX+++/nwcffJBrr72WLl26cOONN/Lb3/6WyZMnAzrOFaW8jmvjxo05dOjQCT//8OHDZ3Tsa2UYcbvd9OjRg3nz5pVonzdvHn369LGoqurFMAzuuusupk2bxpdffkmrVq1KrG/VqhWNGzcucYwDgQCLFi2KHuMePXrgcrlKbJOWlsamTZv036HQ4MGD2bhxI99880300bNnT66//nq++eYbWrdureNcTvr27XvC7enbt2+nZcuWgP5Nl5e8vDzs9pJfPQ6HI3prr45zxSiv49q7d298Ph+rVq2KbrNy5Up8Pt+ZHfsyd32t5opu7X399deNLVu2GBMnTjTi4+ON3bt3W11atXDHHXcYXq/XWLhwoZGWlhZ95OXlRbd58sknDa/Xa0ybNs3YuHGj8Ytf/OKkt5E1a9bMmD9/vrFu3Tpj0KBBtf72vJ9z/N00hqHjXF5WrVplOJ1O469//avx/fffG++9954RFxdnvPvuu9FtdKzP3M0332w0bdo0emvvtGnTjPr16xu///3vo9voOJdNdna2sX79emP9+vUGYDzzzDPG+vXro0NWlNdxHTZsmNG1a1dj+fLlxvLly40uXbro1t4z8e9//9to2bKl4Xa7je7du0dvS5WfB5z08eabb0a3iUQixp/+9CejcePGhsfjMQYMGGBs3LixxM/Jz8837rrrLqNu3bpGbGyscfnllxupqamV/Gmqlx+HER3n8vPpp58anTt3Njwej9G+fXvjlVdeKbFex/rMZWVlGffee6/RokULIyYmxmjdurXxyCOPGH6/P7qNjnPZfPXVVyf9vXzzzTcbhlF+x/XIkSPG9ddfbyQmJhqJiYnG9ddfbxw7duyMarcZhmGU/byKiIiIyJmplX1GREREpOpQGBERERFLKYyIiIiIpRRGRERExFIKIyIiImIphRERERGxlMKIiIiIWEphRERERCylMCIiIiKWUhgRERERSymMiIiIiKUURkRERMRS/w+MYRa6yvoKgwAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(result_np[:,0])\n", + "plt.plot(result_np[:,1])\n", + "plt.plot(result_np[:,2])\n", + "plt.plot(result_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"g1\": 0., \"g2\": 0.}\n", + "\n", + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(results_test_np[:,0])\n", + "plt.plot(results_test_np[:,1])\n", + "plt.plot(results_test_np[:,2])\n", + "plt.plot(results_test_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "n: 1000\n", + "Epoch: 0\t Loss: tensor(0.1190, grad_fn=)\n", + "Epoch: 1\t Loss: tensor(0.0977, grad_fn=)\n", + "Epoch: 2\t Loss: tensor(0.0801, grad_fn=)\n", + "Epoch: 3\t Loss: tensor(0.0658, grad_fn=)\n", + "Epoch: 4\t Loss: tensor(0.0546, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(0.0456, grad_fn=)\n", + "Epoch: 6\t Loss: tensor(0.0384, grad_fn=)\n", + "Epoch: 7\t Loss: tensor(0.0323, grad_fn=)\n", + "Epoch: 8\t Loss: tensor(0.0272, grad_fn=)\n", + "Epoch: 9\t Loss: tensor(0.0228, grad_fn=)\n", + "Epoch: 10\t Loss: tensor(0.0191, grad_fn=)\n", + "Epoch: 11\t Loss: tensor(0.0158, grad_fn=)\n", + "Epoch: 12\t Loss: tensor(0.0131, grad_fn=)\n", + "Epoch: 13\t Loss: tensor(0.0108, grad_fn=)\n", + "Epoch: 14\t Loss: tensor(0.0089, grad_fn=)\n", + "Epoch: 15\t Loss: tensor(0.0074, grad_fn=)\n", + "Epoch: 16\t Loss: tensor(0.0062, grad_fn=)\n", + "Epoch: 17\t Loss: tensor(0.0053, grad_fn=)\n", + "Epoch: 18\t Loss: tensor(0.0046, grad_fn=)\n", + "Epoch: 19\t Loss: tensor(0.0041, grad_fn=)\n", + "Epoch: 20\t Loss: tensor(0.0037, grad_fn=)\n", + "Epoch: 21\t Loss: tensor(0.0034, grad_fn=)\n", + "Epoch: 22\t Loss: tensor(0.0032, grad_fn=)\n", + "Epoch: 23\t Loss: tensor(0.0030, grad_fn=)\n", + "Epoch: 24\t Loss: tensor(0.0028, grad_fn=)\n", + "Epoch: 25\t Loss: tensor(0.0027, grad_fn=)\n", + "Epoch: 26\t Loss: tensor(0.0025, grad_fn=)\n", + "Epoch: 27\t Loss: tensor(0.0023, grad_fn=)\n", + "Epoch: 28\t Loss: tensor(0.0021, grad_fn=)\n", + "Epoch: 29\t Loss: tensor(0.0019, grad_fn=)\n", + "Epoch: 30\t Loss: tensor(0.0017, grad_fn=)\n", + "Epoch: 31\t Loss: tensor(0.0015, grad_fn=)\n", + "Epoch: 32\t Loss: tensor(0.0013, grad_fn=)\n", + "Epoch: 33\t Loss: tensor(0.0011, grad_fn=)\n", + "Epoch: 34\t Loss: tensor(0.0010, grad_fn=)\n", + "Epoch: 35\t Loss: tensor(0.0009, grad_fn=)\n", + "Epoch: 36\t Loss: tensor(0.0009, grad_fn=)\n", + "Epoch: 37\t Loss: tensor(0.0008, grad_fn=)\n", + "Epoch: 38\t Loss: tensor(0.0008, grad_fn=)\n", + "Epoch: 39\t Loss: tensor(0.0008, grad_fn=)\n", + "Epoch: 40\t Loss: tensor(0.0007, grad_fn=)\n", + "Epoch: 41\t Loss: tensor(0.0007, grad_fn=)\n", + "Epoch: 42\t Loss: tensor(0.0006, grad_fn=)\n", + "Epoch: 43\t Loss: tensor(0.0006, grad_fn=)\n", + "Epoch: 44\t Loss: tensor(0.0005, grad_fn=)\n", + "Epoch: 45\t Loss: tensor(0.0004, grad_fn=)\n", + "Epoch: 46\t Loss: tensor(0.0004, grad_fn=)\n", + "Epoch: 47\t Loss: tensor(0.0003, grad_fn=)\n", + "Epoch: 48\t Loss: tensor(0.0003, grad_fn=)\n", + "Epoch: 49\t Loss: tensor(0.0003, grad_fn=)\n" + ] + } + ], + "source": [ + "ode_solver.fit(result,torch.optim.Adam, {\"lr\": 0.01}, max_epochs=50)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': 0.10043926537036896,\n", + " 'g1': 0.06884637475013733,\n", + " 'g2': 0.19648335874080658}" + ] + }, + "metadata": {}, + "execution_count": 28 + } + ], + "source": [ + "ode_solver.get_coeffs()\n", + "\n", + "# \"a\" and \"g2\" match. \"g1\" is off, but the difference it makes on the trajectories is not noticeable" + ] + }, + { + "source": [ + "# Re-calculate using 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9823e-01, 1.7684e-03, 0.0000e+00],\n", + " [1.0000e-01, 8.9647e-01, 3.5314e-03, 1.7761e-06],\n", + " ...,\n", + " [5.2224e-02, 5.0797e-06, 1.4529e-04, 9.4763e-01],\n", + " [5.2224e-02, 5.0749e-06, 1.4516e-04, 9.4763e-01],\n", + " [5.2224e-02, 5.0702e-06, 1.4502e-04, 9.4763e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 29 + } + ], + "source": [ + "ode_solver(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9823e-01, 1.7684e-03, 0.0000e+00],\n", + " [1.0000e-01, 8.9647e-01, 3.5314e-03, 1.7761e-06],\n", + " ...,\n", + " [7.8164e-02, 1.3713e-01, 4.2534e-01, 3.5937e-01],\n", + " [7.8141e-02, 1.3688e-01, 4.2518e-01, 3.5980e-01],\n", + " [7.8118e-02, 1.3663e-01, 4.2502e-01, 3.6023e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 30 + } + ], + "source": [ + "results_test = ode_solver(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(results_test_np[:,0])\n", + "plt.plot(results_test_np[:,1])\n", + "plt.plot(results_test_np[:,2])\n", + "plt.plot(results_test_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb b/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb deleted file mode 100644 index d5ba4b19..00000000 --- a/examples/ode/rossler_attractor/rosslerAttractorTest.ipynb +++ /dev/null @@ -1,276 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "# Rossler Attractor equations\n", - "def x_prime(prev_val, coeffs):\n", - " return -prev_val[\"y\"]-prev_val[\"z\"]\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]+coeffs[\"alpha\"]*prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return coeffs[\"beta\"] + prev_val[\"x\"]*prev_val[\"z\"]-coeffs[\"gamma\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\":0, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"alpha\": 0.2, \"beta\": 0.2, \"gamma\": 5.7}\n" - ] - }, - { - "source": [ - "# Euler's Method" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 0.0000e+00, 0.0000e+00, 2.0000e-03],\n", - " [-2.0000e-05, 0.0000e+00, 3.8860e-03],\n", - " ...,\n", - " [-5.3682e+00, -7.8848e+00, 1.7140e-02],\n", - " [-5.2895e+00, -7.9542e+00, 1.7243e-02],\n", - " [-5.2102e+00, -8.0230e+00, 1.7348e-02]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 16 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(20000)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [-9.8126e-06, -3.2875e-08, 1.9441e-03],\n", - " [-3.8521e-05, -2.5948e-07, 3.7804e-03],\n", - " ...,\n", - " [ 5.7814e-01, -6.2418e+00, 3.3245e-02],\n", - " [ 6.4026e-01, -6.2482e+00, 3.3545e-02],\n", - " [ 7.0243e-01, -6.2539e+00, 3.3850e-02]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 22 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-19T22:24:17.625663\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} \ No newline at end of file diff --git a/examples/ode/second_order_example/secondOrderExampleTest.ipynb b/examples/ode/second_order_example/secondOrderExampleTest.ipynb deleted file mode 100644 index 843d2845..00000000 --- a/examples/ode/second_order_example/secondOrderExampleTest.ipynb +++ /dev/null @@ -1,241 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "# Equations\n", - "def x_prime(prev_val, coeffs):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs):\n", - " return -prev_val[\"x\"] - coeffs[\"alpha\"]*prev_val[\"x\"]*prev_val[\"y\"]\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"y_\"]\n", - "\n", - "def y_prime_prime(prev_val, coeffs):\n", - " return -prev_val[\"y\"] - (prev_val[\"x\"]*prev_val[\"x\"] - prev_val[\"y\"]*prev_val[\"y\"])\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"y\": y_prime, \"y_\": y_prime_prime}\n" - ] - }, - { - "source": [ - "# Initial conditions: (0, 0.436630946376151, 0.095, 0.03)" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [], - "source": [ - "ode_init = {\"x\":0., \"x_\": 0.436630946376151, \"y\": 0.095, \"y_\": 0.03}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"alpha\": 2.}\n", - "\n", - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(100000)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000, 0.4366, 0.0950, 0.0300],\n", - " [0.0044, 0.4366, 0.0953, 0.0291],\n", - " [0.0087, 0.4365, 0.0956, 0.0283],\n", - " ...,\n", - " [0.0182, 0.4362, 0.0965, 0.0257],\n", - " [0.0226, 0.4359, 0.0968, 0.0248],\n", - " [0.0269, 0.4356, 0.0970, 0.0239]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 24 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Y\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Initial conditions (0, 0.427001854016272, 0.095, 0.096)" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [], - "source": [ - "ode_init = {\"x\":0., \"x_\": 0.427001854016272, \"y\": 0.095, \"y_\": 0.096}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"alpha\": 2.}\n", - "\n", - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(100000)" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000, 0.4270, 0.0950, 0.0960],\n", - " [ 0.0043, 0.4270, 0.0960, 0.0951],\n", - " [ 0.0085, 0.4269, 0.0969, 0.0943],\n", - " ...,\n", - " [-0.1285, -0.1269, -0.2972, 0.2671],\n", - " [-0.1298, -0.1264, -0.2945, 0.2708],\n", - " [-0.1310, -0.1258, -0.2918, 0.2744]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 27 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Y\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} \ No newline at end of file diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 3c59ee3b..19d1b6c8 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -96,7 +96,7 @@ def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} - def fit(self, x, optim, optim_params=None, max_epochs=10, batch_size=128): + def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, scheduler_params=None): """Fits model to the given data. Args: @@ -105,19 +105,28 @@ def fit(self, x, optim, optim_params=None, max_epochs=10, batch_size=128): batch_size (int): Batch size for torch.utils.data.DataLoader """ dataset = TensorDataset(x) - loader = DataLoader(dataset, batch_size=batch_size, shuffle=True) + n = dataset.__len__() + loader = DataLoader(dataset, batch_size=n) if optim_params is not None: optimizer = optim(self.parameters(), **optim_params) else: optimizer = optim(self.parameters()) + if scheduler is not None: + if scheduler_params is not None: + lr_scheduler = scheduler(optimizer, **scheduler_params) + else: + lr_scheduler = scheduler(optimizer) + for epoch in range(max_epochs): for i, data in enumerate(loader, 0): self.zero_grad() - loss = self._step(data, i, batch_size) + loss = self._step(data, i, n) loss.backward(retain_graph=True) optimizer.step() + if scheduler is not None: + lr_scheduler.step() print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) From d8e2e04459369ac31fe271728e7e7c20d1c7f216 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 14:50:26 -0400 Subject: [PATCH 16/73] Improved the prediction of Lorenz63: random sample --- examples/ode/lorenz63/Lorenz63Train.ipynb | 345 -------- examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 735 ++++++++++++++++++ .../Lorenz63Train_fitRandomSample.ipynb | 400 ++++++++++ torchts/nn/models/ode.py | 58 ++ 4 files changed, 1193 insertions(+), 345 deletions(-) delete mode 100644 examples/ode/lorenz63/Lorenz63Train.ipynb create mode 100644 examples/ode/lorenz63/Lorenz63Train_fit.ipynb create mode 100644 examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb diff --git a/examples/ode/lorenz63/Lorenz63Train.ipynb b/examples/ode/lorenz63/Lorenz63Train.ipynb deleted file mode 100644 index 543db5b6..00000000 --- a/examples/ode/lorenz63/Lorenz63Train.ipynb +++ /dev/null @@ -1,345 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", - " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", - " ...,\n", - " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", - " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", - " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T00:23:26.565709\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"sigma\": 1., \"rho\": 1., \"beta\": 1.} # Start with arbitrary values\n", - "\n", - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(226.2282, grad_fn=)\n", - "Epoch: 1\t Loss: tensor(251.8655, grad_fn=)\n", - "Epoch: 2\t Loss: tensor(226.3150, grad_fn=)\n", - "Epoch: 3\t Loss: tensor(228.0103, grad_fn=)\n", - "Epoch: 4\t Loss: tensor(249.7751, grad_fn=)\n", - "Epoch: 5\t Loss: tensor(238.6514, grad_fn=)\n", - "Epoch: 6\t Loss: tensor(226.3311, grad_fn=)\n", - "Epoch: 7\t Loss: tensor(250.5593, grad_fn=)\n", - "Epoch: 8\t Loss: tensor(247.9563, grad_fn=)\n", - "Epoch: 9\t Loss: tensor(232.6432, grad_fn=)\n" - ] - } - ], - "source": [ - "ode_solver.fit(result,torch.optim.Adam, {\"lr\": 0.001})" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(9.9730, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(27.9205, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(2.7759, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 9 - } - ], - "source": [ - "ode_solver.coeffs\n", - "\n", - "# The coefficients differ by at most 0.1 from the original" - ] - }, - { - "source": [ - "# Re-calculate using 4th Order Runge-Kutta" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.0027e-01, 2.7921e-01, 0.0000e+00],\n", - " [ 8.3833e-01, 5.2777e-01, 2.5136e-03],\n", - " ...,\n", - " [ 7.9433e-01, -1.1557e+01, 3.3041e+01],\n", - " [-4.3750e-01, -1.1482e+01, 3.2032e+01],\n", - " [-1.5390e+00, -1.1350e+01, 3.1193e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 11 - } - ], - "source": [ - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} \ No newline at end of file diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb new file mode 100644 index 00000000..a701d4c1 --- /dev/null +++ b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb @@ -0,0 +1,735 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result = ode_solver(2000)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", + " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", + " ...,\n", + " [-4.8749e+00, -7.0272e+00, 1.7946e+01],\n", + " [-5.1005e+00, -7.4593e+00, 1.7824e+01],\n", + " [-5.3468e+00, -7.9161e+00, 1.7745e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T12:10:37.232675\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" + ] + } + ], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "tags": [ + "outputPrepend" + ] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + ":\n", + "tensor(15.8942, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.8835, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(301.9414, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.4083, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.8125, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.7852, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(300.2483, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.4956, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.7324, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.6870, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(298.5752, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.5821, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.6541, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.5889, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(296.9215, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.6676, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.5775, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.4909, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(295.2867, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.7524, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.5028, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.3931, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(293.6703, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.8362, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.4300, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.2953, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(292.0717, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.9192, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.3592, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.1976, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(290.4902, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.0013, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.2904, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.1001, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(288.9252, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.0826, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.2239, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.0026, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(287.3758, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.1630, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.1595, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.9052, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(285.8413, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.2425, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.0974, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.8079, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(284.3210, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.3212, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.0377, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.7107, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(282.8141, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.3991, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.9804, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.6136, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(281.3195, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.4761, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.9256, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.5166, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(279.8366, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.5524, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.8734, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.4196, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(278.3644, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.6278, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.8239, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.3227, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(276.9018, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.7026, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.7771, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.2258, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(275.4480, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.7765, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.7330, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.1290, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(274.0018, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.8498, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.6918, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.0322, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(272.5623, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.9224, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.6535, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.9355, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(271.1285, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.9943, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.6181, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.8387, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(269.6992, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.0656, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5858, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.7420, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(268.2733, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.1363, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5565, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.6453, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(266.8497, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.2064, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5303, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.5486, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(265.4273, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.2761, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5073, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.4519, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(264.0049, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.3452, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4875, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.3551, requires_grad=True)}\n", + "Epoch: 50\t Loss: tensor(262.5814, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.4140, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4710, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.2583, requires_grad=True)}\n", + "Epoch: 51\t Loss: tensor(261.1555, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.4823, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4578, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.1614, requires_grad=True)}\n", + "Epoch: 52\t Loss: tensor(259.7262, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.5503, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4478, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.0644, requires_grad=True)}\n", + "Epoch: 53\t Loss: tensor(258.2922, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.6180, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4412, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.9674, requires_grad=True)}\n", + "Epoch: 54\t Loss: tensor(256.8523, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.6855, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4380, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.8703, requires_grad=True)}\n", + "Epoch: 55\t Loss: tensor(255.4054, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.7528, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4382, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.7731, requires_grad=True)}\n", + "Epoch: 56\t Loss: tensor(253.9503, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.8199, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4417, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.6757, requires_grad=True)}\n", + "Epoch: 57\t Loss: tensor(252.4858, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.8870, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4487, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.5782, requires_grad=True)}\n", + "Epoch: 58\t Loss: tensor(251.0108, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.9541, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4591, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.4806, requires_grad=True)}\n", + "Epoch: 59\t Loss: tensor(249.5241, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.0213, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4729, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.3828, requires_grad=True)}\n", + "Epoch: 60\t Loss: tensor(248.0247, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.0886, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.4900, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.2848, requires_grad=True)}\n", + "Epoch: 61\t Loss: tensor(246.5114, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.1562, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5106, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.1867, requires_grad=True)}\n", + "Epoch: 62\t Loss: tensor(244.9831, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.2240, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5345, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.0883, requires_grad=True)}\n", + "Epoch: 63\t Loss: tensor(243.4391, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.2922, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5618, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.9897, requires_grad=True)}\n", + "Epoch: 64\t Loss: tensor(241.8782, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.3610, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5924, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.8909, requires_grad=True)}\n", + "Epoch: 65\t Loss: tensor(240.2998, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.4304, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.6263, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.7918, requires_grad=True)}\n", + "Epoch: 66\t Loss: tensor(238.7030, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.5005, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.6633, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.6924, requires_grad=True)}\n", + "Epoch: 67\t Loss: tensor(237.0871, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.5715, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.7036, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.5928, requires_grad=True)}\n", + "Epoch: 68\t Loss: tensor(235.4519, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.6435, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.7470, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.4930, requires_grad=True)}\n", + "Epoch: 69\t Loss: tensor(233.7971, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.7168, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.7935, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.3928, requires_grad=True)}\n", + "Epoch: 70\t Loss: tensor(232.1226, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.7916, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.8429, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.2924, requires_grad=True)}\n", + "Epoch: 71\t Loss: tensor(230.4284, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.8680, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.8952, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.1917, requires_grad=True)}\n", + "Epoch: 72\t Loss: tensor(228.7146, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.9464, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.9502, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.0907, requires_grad=True)}\n", + "Epoch: 73\t Loss: tensor(226.9818, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.0271, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.0079, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.9894, requires_grad=True)}\n", + "Epoch: 74\t Loss: tensor(225.2312, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.1104, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.0681, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.8878, requires_grad=True)}\n", + "Epoch: 75\t Loss: tensor(223.4612, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.1965, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.1306, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.7859, requires_grad=True)}\n", + "Epoch: 76\t Loss: tensor(221.6657, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.2854, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.1953, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.6837, requires_grad=True)}\n", + "Epoch: 77\t Loss: tensor(219.8401, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.3771, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.2619, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.5811, requires_grad=True)}\n", + "Epoch: 78\t Loss: tensor(217.9906, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.4721, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.3303, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.4781, requires_grad=True)}\n", + "Epoch: 79\t Loss: tensor(216.1263, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.5707, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.4000, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.3747, requires_grad=True)}\n", + "Epoch: 80\t Loss: tensor(214.3090, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.6775, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.4695, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.2717, requires_grad=True)}\n", + "Epoch: 81\t Loss: tensor(212.7480, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7979, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.5348, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.1702, requires_grad=True)}\n", + "Epoch: 82\t Loss: tensor(211.5908, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.9368, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.5596, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.0810, requires_grad=True)}\n", + "Epoch: 83\t Loss: tensor(89.2156, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8993, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.6518, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.9624, requires_grad=True)}\n", + "Epoch: 84\t Loss: tensor(83.5118, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8621, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.7448, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.8501, requires_grad=True)}\n", + "Epoch: 85\t Loss: tensor(81.7634, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8252, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.8372, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.7435, requires_grad=True)}\n", + "Epoch: 86\t Loss: tensor(80.1878, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7927, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.9307, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6440, requires_grad=True)}\n", + "Epoch: 87\t Loss: tensor(79.0457, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7719, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.0269, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5544, requires_grad=True)}\n", + "Epoch: 88\t Loss: tensor(78.4015, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7692, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1259, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.4769, requires_grad=True)}\n", + "Epoch: 89\t Loss: tensor(77.9929, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7852, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2262, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.4112, requires_grad=True)}\n", + "Epoch: 90\t Loss: tensor(77.5531, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8164, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3255, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.3542, requires_grad=True)}\n", + "Epoch: 91\t Loss: tensor(76.9851, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8570, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.4218, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.3020, requires_grad=True)}\n", + "Epoch: 92\t Loss: tensor(76.2551, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8996, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.5134, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.2499, requires_grad=True)}\n", + "Epoch: 93\t Loss: tensor(75.2696, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.9360, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.5994, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.1932, requires_grad=True)}\n", + "Epoch: 94\t Loss: tensor(73.8892, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.9602, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.6803, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.1299, requires_grad=True)}\n", + "Epoch: 95\t Loss: tensor(72.4045, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.9804, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.7593, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.0662, requires_grad=True)}\n", + "Epoch: 96\t Loss: tensor(72.0286, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.0215, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8387, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.0181, requires_grad=True)}\n", + "Epoch: 97\t Loss: tensor(72.7292, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.0955, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.9173, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.9952, requires_grad=True)}\n", + "Epoch: 98\t Loss: tensor(72.9855, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.1983, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.9935, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.9975, requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(72.1948, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.3234, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.0670, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.0223, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit(\n", + " result,\n", + " torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=100,\n", + " # scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " # scheduler_params={\"milestones\": [10,50],\"gamma\": 0.5}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(18.3234, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(17.0670, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(3.0223, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 53 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# \"beta\" is close. \"sigma\" and \"rho\" are far off. This poses a problem when predicting for larger time scales." + ] + }, + { + "source": [ + "# Re-calculate using 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 8.1677e-01, 1.7067e-01, 0.0000e+00],\n", + " [ 6.9838e-01, 3.0836e-01, 1.3940e-03],\n", + " ...,\n", + " [-6.1749e+00, -7.1516e+00, 1.2449e+01],\n", + " [-6.3539e+00, -7.3652e+00, 1.2515e+01],\n", + " [-6.5392e+00, -7.5808e+00, 1.2604e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 55 + } + ], + "source": [ + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T13:21:26.092339\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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DXC5UsY5cSFosFKzk+DwyMgKO45aRjT8Tzrm5Oeh0umVTOr3TaLHe4LwXoJBLHMK7d4VEHDMzM2hpaUFWVhZ27doVcse6HJELwenTp+MiDeaNSK/F12JnsVjExW5gYAA0TS/zRIsHt+hYk0uwkUsg+FICWq1W8f0fGhoCANFhID093cPxmTRxkmfDe5aNQjarB4Vc4gj+elcAYGBgADMzM9i8eTMKCwvDOn6kkYvb7UZzczMAYOfOnWJa6UyGVIlWUlKyzJeru7sbWq1WlDvHmmBiTS7RkJ0nJSUhKSkJxcXF4HkeZrNZVKMNDAyAoiixXkMIRPr70sgmENkoUzrlhUIucYJAFi5utxuLi4uoq6uDwWAI+xyRRC5SNRgApKSkhH0dq4FoLfK+fLnIQjc5OQmWZXHy5ElRHCCXEi0YxDpyCSctFiqkjs+E7Inj8+zsLOx2Ozo7OzE9PS2+/97jBQKRDaBM6ZQLCrnEAXz1rgDA+Pg42tvboVKpUFVVFRGxAOFFLjzPY2hoCD09PWJT5EsvvSSbMEBurPbiKrVKyc3NRUNDAyoqKmAymTyUaFLZc7SUaLGOmuRIi4UKb8fnN954AyUlJWAYRnR8VqvVHmnMhISEFcmGOD6TcyhkEzoUcokhpL0r5MGkKAoMw6CjowPT09PYvn07enp6ZFk0Q41c3G43WlpasLi4iJqaGlENJkd9IdYLYbRAUZRH97rT6RTFAZ2dnR5KtPT0dKSkpMi2UL0XIpeVwPM8UlJSkJqa6tfxWavVLiMbAl9ks9KUToVsfEMhlxiB4zgwDLMsDba4uIimpiZotVocOHAACQkJ6Ovri1jlRc4R7HECNUXGQ/F6JcTi+nydU6fTIS8vD3l5ectkt95KNO/idDjnj3XNJdaLrLennC/HZ9JQK3V8ln4GUvcGqQknsPKUTmUk9BIUclllSG9OshiQxXpoaAjd3d0oKytDRUWFeIPK4WYMBJcWk16HPzWYHJLmaCGeH+pglWhpaWlizUY6IXIlxAO5xPr9X8mwVKVSISMjY9kcIeKN5s/xmSAYsnE6nVCr1UhOTn5POz4r5LKK8LZwIcRCmhEXFhawe/du8cYnkItcaJoWIyVfkKbBAjVFyilpPtMQyiLiS4lmNpthMpk8lGhSA86VPNHey2kxstCHEj35c3yen5/3cHz2ZxXki2xGR0dBURTKysrEFNt7cbyAQi6rBGnvinfT10oWLqsRuYTiDRbPaTGpg8Bag7Q4TeoFJIUzOjqKjo4Oj111enq6x0IX68gh1mkx8plHcg3+HJ/n5ubQ398Pq9Xq1/EZWHrGdDqd+PX36uA0hVyiDH+9K8TCZWBgYEULFzkjF+9F15cabKUbPZ7JJZaQ+z2RpnAqKio85qgMDAygtbXVQ4kW61RlrCMX8vrlJDjvoXUul0tMYxLHZynZpKamgmVZD8LwNRL6vUA2CrlEEf56V6QWLvv27VuxZ0SuGof3cfypwYI5TryTS7xfXzjw3lUTJdrc3By6urrgcDjQ398Pi8UiuxItGMQ6cokGuXhDq9V6OD57fwZOpxMqlQoMwyA5OXmZ4zPgm2zOxCmdCrlECWR34t27Mj09jZaWFmRnZwdt4RKNyGV+fh5NTU1ISkoK2RtMDnIhtadozFWJ5YO4muf2VqKdPHkS6enpsFqtohItNTVVFAdEokQLBmdi5LISpJ8BIDg+NzU1ie0ERHpO1Gjejs8ARAIJNBL6j3/8I/bu3Ytdu3at2muLFAq5yAySBhsZGcHExAR27dolRgxdXV0YHR3Fli1bUFBQEPQx5a65EIv8cCdFRhpJTU9Po7m5WdzdkdSP9MFTEBqIOCQrKwsZGRnLPLmkNinkj7RzXQ7EuuZDyC2W16DX66HRaFBUVCQOUCOzbMbHx4N2fPYmm9/85jdISUlRyOW9Cu80GPEuslqtaGpqAoCwLFzkIhee5zE/Px9yGszX9YQTuXAch56eHgwPD2Pz5s1ISkoSawhtbW1gGMZDhhtpz8dqI9apOOni7u3JJbVJmZmZQW9vLzQajd9mwnDPH+u0WDxsTqQ1l1Adn5OSknySjc1mQ2JiYixfVshQyEUmeFu4qNVqcByH8fFxtLW1oaioCFVVVWHd/HKQy/z8PPr7+wEgYov8cNJiTqcTjY2NcLvdqK2thV6vh9vt9rC6t9lsMJlMMJlMHu7D0p6PYK/vvYhAn4m3TYqvZkK9Xu9XiRYM4iEtFi/k4m/M+EqOzzzPL2uqBQCr1Sr6+kWKBx54AA888AAGBwcBAFu2bMF3vvMdXHzxxQCE++h73/seHnroIczNzWHfvn341a9+hS1btoR0HoVcIoS/8cNksezo6MCOHTsichCmaVo8fjjXR9Rg2dnZcDqdEc9eCZVcTCYTmpqakJmZid27d0OtVi/rt5E+eGSn7W3bkZCQIBJNOIvfmY5Q0lK+mgmlKbTW1lZRBUVSlivVB5XIZek6gvGP8+X47N1U+5vf/AZGoxF6vR5TU1OypB6Liorwox/9COvXrwcAPP7447j00kvR0NCALVu24Mc//jF+9rOf4bHHHsOGDRtw11134YILLkBXV1dIBKeQSwTwHj9MbuzFxUV0dHSA4zicc845Eacbwk1DeavB7HY7hoeHI7oWIHhy4XkeAwMD6OvrQ1VVFYqLi4N+MLzdh0knNYlqiAzXX70mVimqWPeZhHt+tVq9rL+DeKJ5z733LkwTKJGLAH+Ry0rw1VSr0+nw/PPP4/e//z2uv/563HzzzTj33HPx8Y9/HJdeemlY1/fBD37Q4/8/+MEP8MADD+DkyZPYvHkz7r33Xtx+++244oorAAjkk5ubiyeffBI33HBD0OdRyCUMSC0fvHtXhoeH0d3djfz8fExPT0dMLEB4abGFhQU0NjZ6qMGcTqcsi24wBX0psfmamEkKlcHCu5Pa6XTCZDItq9eQOtJ7seYCyEdu3pJbqScaKUxL0zfJyclK5CK5Djmcr2maxv79+1FTU4N7770XXV1dmJmZwWuvvYa5uTkZrlQgwqeffhpWqxW1tbUYGBjA5OQkLrzwQvFndDodDh48iBMnTijkEk34612RzpPfvXs3NBoNJicnZTlnKOQSqClSTtVZoIV0cXERDQ0NYcmcg4VOp/NZr5mbmwPHcaivrxejmlDqNWsZ0VRrec+9l9YKBgcHRTfvqakpsZC92lFMPJAL2XjKOVbBarUCADIzM7FhwwYcOHAg4mO2tLSgtrZWbAJ95plnsHnzZpw4cQIAxE0FQW5urjgFNFgo5BICvMcPk4eH1BRSU1PFxdRqtcrWMR0sKbjdbtGjzJcaTK7mR39pOp7nMTY2ho6ODpSXl6O8vHxVFhjves3Ro0dRWVkJh8PxnqrXrJYU2JcSzWKx4J133hFVUGSGCnnP5YjgV0I8kIt00ykXCLmQ4r4cqKqqQmNjI+bn5/HXv/4V1157LY4dOyZ+3/s+CufeUsglCARj4bJhwwaUlJQsixLkeOCDIRdfaTBvyNnp700uLMuivb0dMzMz2LVrFzIzMyM+T7igaRrJycnIz88Pq14TCWJdc4kFyPsNAFu3boVGo8Hi4iJMJpOHrT0hG2+nYbkQD+RCni85IxebzQadTifrhkir1YoF/ZqaGpw6dQq/+MUv8M1vfhMAMDk5ifz8fPHnp6enl0UzK0EhlxUQyMKlqakJLpfLp4WLdNhQpAtOIFKQ1nkqKipEJ1ZfkMvN2JtcrFYrGhsboVKpUFdXtyq71FAQSr0mIyMj7P6aWNdcYtnESF47cQmWzlAh5E5SaBaLJaD5Y7iIB3IhxrRyfg4WiyXqaUbiClBWVoa8vDy88sorqK6uBiCIO44dO4a77747pGMq5BIA/sYPEwuXnJwcUVrrDbJzCVc5IoW/yIWkwebn54NqioxG5DI5OYnW1lYUFRVhw4YNMX+4CQIt9IHqNYODg2H318QDYk0uvj5/b3L3Zf64khItGMQLuUjXCjlAbP/lwm233YaLL74YxcXFMJvN+NOf/oSjR4/ixRdfBEVRuPnmm3HkyBFUVlaisrISR44cQWJiIq655pqQzqOQiw/4610JxcKF3OTRmiApTYP5s+r3dRy5IheWZdHZ2YnR0VFs3bpV9FaKB4Q6U0XO/ppYp8ViTS7BnD8YJRrpWs/IyEBycnJQx40HcpG7mA9AtPmX67OdmprCJz/5SUxMTCA1NRXbt2/Hiy++iAsuuAAA8I1vfAN2ux033nij2ET58ssvh9zEqZCLF7x7V0iIK7VwOXDgwIpWDORGkNtwMpQ0mK/jyHE9HMeJRdva2tqwdlXx2kUfSn8N2WXLvZiEi1im5aTPS6jwVqIRixSTyST2ZUnTlv5SRPFALnJkKrwht/XLb37zm4DfpygKhw8fxuHDhyM6j0Iu74LUVkjxTJo3HRsbQ3t7O4qLi4NO/ZDcc6DJj8GCkEKoaTBf1xTpAmQ0GmE0GmEwGLB///64WVi9IddCG6he097e7lGvIWaDsYAcg7Li4fy+LFKIJ9rs7Cz6+vpEJRr5Q9KW8UIucj8TpEa11qCQC5aIZXp6Gh0dHTj77LNF3T5RQO3cuVPsXg4WclrlMwyDEydOwGAwBJ0Gk/N6eJ5Hf38/+vv7kZKSgqysrLgllmgiUL3GZDKB4zi0trauer0m1mKCSCKXQKAoCikpKUhJSUFpaSk4jhM90UjaUqfTISMjAw6HI+ZikmilxeSsuawW3vPkIu1dUalUooXFwsICmpqakJCQgAMHDoR108pBLjzPY2pqCi6XCxs2bAgpDeYNErmEmpt3uVxoaWmBxWLBvn37MDw8HPFiFs202Gql3LzrNbOzs+jq6oLBYFj1/ppQah7ROv9qRA1EbOFLiUbkzwsLC+J7LpcSLVhEKy2mRC5rCL56V9RqNRiGEeedRNoISNN0RGkxkgabm5uDSqVCeXl52Mci1wOEVvglwoHk5GTU1dVBo9Eokyj9gKIoqNVqlJWVxaxeEytyiZWvmDRt6Xa7odVqkZKSApPJJCrRpKOgo10ji1ZaTIlc1gj89a4QshkcHIxo3gkBiYTCAVnUDQYDqqurcerUqYiuBfAUGay0u+J5HiMjI+jq6lomHJBT0nwmw1e9hqTPvOs1kfTXAPERucT68+Q4DhqNxmPmvcPhWPae+xvWJdc1KGkxAe85cvHXu2I0Gj0GesnRQRxOWsyXGsxut8vS7S+NXAKB1JqMRiN2794t2rITxHvkEms5rj94jyWWs78m1p9HrE0rAd+bpoSEhGU1MiJ7JuldqTjAYDBEdP9EIy1mtVo9uuXXCt4z5CLtXSEPAtmB9/X1YXBwEBUVFeju7pZt5xEqufhTg8nV7R+MPNpisaCxsREajQa1tbU+a02RpvtWA7FebFeCr/4as9kMk8kUVr0m1pFLrO32yTUEWtgDKdGMRmNAJVoo1yB35GKz2ZTIJV7BcRwYhlmWBrPb7WhubobL5cL+/fuRmJiI7u5u2fKmoUiRpWkwbzWYtCEzkl3RSpHLxMQEWltbUVJSgsrKSr/nivfIJZaIpD5HJkWGU6+JNbnEa+QSCMEq0QjRZGRkrJjRiEbNhTRRrjWc0eQinbtCdv3k4ZuamkJraytyc3NFCxfygK6mm3EwTZFydfv7i1yI88DY2FhQUzPjnVxivYOWA6HWa0hU816PXCJZ2H0p0QjZDA8Po729HQaDwSOy8VaisSwruzpN6XOJM3hbuBBiYVkWXV1dGB8fx5YtWzxymRRFyZryWYlcpGkwX7UN6XEA+bv9AcF6o7GxERzHoa6uLqhOYLkK+tHEmTYsbKV6DVnYJyYmYuKHFi+Ri5wEp1arkZmZKTp8u91usV7T19cHu92+TIkWrYJ+qNYr8YAzklykvSuEMABhB9DU1ASapv0upHJ11QOBySVQGswbclrJSIlhdnYWTU1NyM3NxaZNm4J+KOSIXEwmE2ZmZmS3vH8vwFe9ZnZ2Fq2trR71Gqk4INrza+JFLRbN+8ifEm1ubg4dHR1wu91QqVRiVCmXEk1u+5fVwhlFLoHmrpAhVivVE+SMXHwRVTjeYIQg5Rr0xXEcent7MTAwgM2bN6OwsDDkY4R7LTzPY2BgAH19fcjIyMDExARYlkVaWpo4XyVSe/FYL3KrDZqmRRnz7t27PRoLV6u/Jl7SYqu5SfFWoklruE1NTeB5Xryvw1WikamfSuQSQ/jrXWEYBm1tbTAajUFZuETSm+IN78gl2DRYMMcKFxRFob29HW63G/v37w/rpg03cmEYBi0tLVhYWMCePXuQkJAgmoKaTCZRsaPRaDxGFIcjC49VTSge+kyCqdekpqaK77EcjrvxkhaLlSURRQmjnTUaDYqKipCTkwOLxSK+7/39/R41nYyMDPH+XwlKn0sMwXEcXC7Xst4VYuGi1+tx4MAB6HS6FY8VrbRYKGmwlY4VLubn5+FyuWAwGFBbWxt2qiQccrFYLGhoaEBCQgLq6uqgVqvhcrlAUUsjc0tKSsCyLBYWFmAymTA0NIS2traQp0bGegcdCwRKS0Wzv4bgvRi5+IJ0nktycjKSk5NRUlLiMcphamoK3d3dHkq09PR0v+uTzWZTIpfVBkmDETWYNA1GLFzWr18fE1t6ciyn04mhoSF0d3dHZCcTqekkScVpNBpUVFRElIMPlVwmJyfR0tKC0tJSVFZWBhQEqFQqkUgAwdfMZDLBZDKhra1N9hSanIi1gi6Y9yHY/ppQ6zXxErnE+l7wFz15j3JgWVZMXY6MjCxToqWlpUGj0YBhGDgcDtkilx/+8If429/+hs7OTuj1etTV1eHuu+9GVVWV+DPXXXcdHn/8cY/f27dvH06ePBnSudYsuZA0WGNjI1JSUrBu3TpQFAWn0ymaLO7ZsydkCxc5IxdA6PyfnZ0NOQ3mjXDJhWEY0Z+spqYGra2tsphOBnMtHMehu7sbo6Oj2L59e8gzuAFhsJR01x1sCi3WC/1qI9yCur/+mlDrNatd0F9YAMbHaYyNUbDbKWg0PNraMuF265CcrIJazUOrBTQaQKPhodEAWi2QmSl8PVoIts9FpVItU6KRvqa+vj7YbDY8/vjjMBgMyMvLky3dd+zYMdx0003Ys2cPGIbB7bffjgsvvFAkN4KLLroIjz76qPj/cFLTa5JcpBYuRF5MURSMRiOam5uRlpaGAwcOhLU7l4tcFhYWMDIyAoqicNZZZ0VsJxOO/JekonQ6Herq6qDT6WQRBgQTuTidTjQ1NcHlcoU9UMzXeYNJobndblgsFqSnp6/6bjperWeCRbj1GjmjhsVFgThGRynJ3xRGRwUyGR+nYTb7OlfdisfW6Xjs2sVi/37hz969LN5d32VBuPYvGo0G2dnZYk2YZDyef/55zM3Noby8HHV1dTh06BA++tGPekQaoeDFF1/0+P+jjz6KnJwcnD59Guecc474dZJKjQRrilx8jR8m0r/u7m4MDQ1h48aNKCoqipmTsdTwkUQqsfApGx8fR1tbm0cqCpCnR2Ulgpqfn0djYyPS0tKwa9euqFme+0uhkXthYGBATO/EWwpNbkQrcgi2XkNGOYQChgG6u2k0NNBoaFChsVGFzk4ai4vBvY60NB5FRRwSEwG3m8fcnBVabRIYhoLbDbjdgMsFMAwFl0v4t9NJ4c031XjzzaV7sqpqiWz27WNRUcEj3LdSLlGBTqfDpz/9aRw4cAAHDhxAS0sLXnvtNfznP//Bxo0bwyYXbywsLADAsqzK0aNHkZOTg7S0NBw8eBA/+MEPVmyu9saaIRfv8cNSK5Px8XFotdqw1U9SRKIWc7vdaGtrw9zcHHbv3g2bzYaJiYmIrocg2IiD4zh0dnZiYmLCZ7d9NCMXKbGuX79eTFWuFkgKbWhoCOXl5dDr9bKr0AIhlqm41UhLBarXjI+Pw+l04s033/RZr2FZgUjq62k0NgpE0txMw273fc1paTwKCzkUFAgEUlgo/J/8XVDAQxoMu1wuHD9+HOeee67fyIHngd5eCm+9pcLJkyq8+aYKPT0qdHUJf0iZobqaxU9/6kBNTeims3Ir1kh3fmVlJTZs2IAbbrhBtmPzPI9bbrkFZ511FrZu3Sp+/eKLL8ZHPvIRlJaWYmBgAHfccQcOHTqE06dPByWKIoh7cpFauHirwSYnJzE+Po6EhATU1tauuh+YFFJlGklBORyOVbWSId32PM+jtrbWZ+OVHJGLL3JhWVac2rlr1y4xlxwLEDcGuVVo8YxYNDFK6zWkzyM3NxdG4xyOHp1GS8sChoezMTCQjq6uRNjty9/fpCQeO3aw2LmTQ3U1i23bOBQXcwjV7SSYSZgUBVRW8qisZPCJTwjZD6ORwltv0Th5UiCc+noVGhpUeN/7EvGpT7lx+LALmZnBbRqkbRByIZqzXL74xS+iubkZx48f9/j6VVddJf5769atqKmpQWlpKf71r3/hiiuuCPr4cU0ugeaukN15bm4ueJ6X1ck4FHKR7ta91WByK88CHWtmZgbNzc3Iy8vDxo0b/b4f0YhcbDYbGhsbQVEU6urqYj5q1hdWUqExDLPmU2ixvN7RUQ1OnEhFZ2chXn+9FLOzyxdYvZ5BZaUV27e7sW+fCvv3a1BZyUOOtdh74xksMjN5fOADLD7wAeGZn56m8J3v6PDkkxo8/rgWf/+7BocPO3HttW6stMSQ51POyIVMoZT7s/3Sl76E5557Dq+//jqKiooC/mx+fj5KS0vR09MT0jnillykFi7Sm4ZYwqtUKtTV1WFmZgazs7OynVelUsHtdgf1s1Illi812GqQC8/z6O3txeDgILZs2YKCgoKAx5ErcvG2kMnLy8OmTZviZve/EoGGq0JbCfHQRLkamJmhcOyY6t0/agwObvb4vl7PY+fOpYhk504WBQUWLCyYRMuU6WkabvdSU2Ekfmhy9bjk5PB48EEHrrvOja9+VYeWFhVuvjkBjz+uWTFVRoRFcn4OVqtVVusXnufxpS99Cc888wyOHj2KsrKyFX/HaDRiZGQk5JkycUcuoVq4yC0dVqlUcDgcK/7c4uIiGhsbPdJgvo4VTZ8yYjPhcDiCrjfJFbmQOTj9/f1hWchEE6E+3HKl0GJdc4kmFheBN94QiOTYMRXa2jx35yoVj23brHj/+zU491wWe/awPiS/BqSkLK/XTE5Ooru7OyI/NLkbKPfvZ3HsmA2PPKLBXXfp0NCgwvnnJ+Kvf7Xjfe/z/Ux7b4TlgNyOyDfddBOefPJJ/P3vf0dycjImJycBAKmpqdDr9bBYLDh8+DCuvPJK5OfnY3BwELfddhuysrJw+eWXh3SuuCIXf2kwUig3mUyorq4WZZKAIJ2Uk1xWSosFSoP5Ola0Ipe5uTk0NjYiPT0d1dXVQSuy5IhceJ6H0+nE6Ogo9u3bh5SUlIiOF29Yiyk0uSMXlgXeeYfGyy+rceyYGqdP02BZz+Nv28bi4EEWBw8yyMrqQFqaChUVFUEdX67+GoJodOer1cDnP+/GFVcw+MpXdPjXvzT4whcS8OabVp/y5bUw4viBBx4AAJx77rkeX3/00Udx3XXXQaVSoaWlBU888QTm5+eRn5+P8847D0899VTIYqm4IRd/44fn5+fR1NSExMREnxYu0Yhc/C2+K6XBvCEnuRBS4HkeQ0ND6OnpQWVlJUpLS0NaVCKNXCwWC9rb20XRgNyKK7kg504+2BSanJ93qJCDXCwW4LXX1Hj+eTVefFEFo9FzsS4r43DuuQwOHmRxzjkssrKW3uOODhY0Hb7rQ6R+aNG0fsnJ4fGb3zhwzjk0urtV+MpXEvC73zmWyZWjMeJY7imUKz0Xer0eL730kiznijm5+OpdkVq49Pb2BnQPJn0ucsEfWQWTBvOG3LNhGIZBY2MjFhYWPMYgh4JIIhdi4yIogoyyNIZGo1YQzSgiUAptenoaDocDp06dEnfcaWlpq1aHCud1j49TeOEFNV54QUh3OZ1Lx0hL4/G+9zE4dEgglJIS/wuT3NYrwfbXkAgy2r5iiYnAI484cOhQIp57ToMnn2Tw8Y97rjvRilzW4qAwIMbk4t27QophxMLFarViz549SEtL83sMuSMXb0IIJQ3m69rk2skyDIPJyUmkpqairq4u7IU9nMhFauOyY8cOaLVaGI3GsM4vRTzMAIkU0hSawWDA2NgYioqKPHbc0jpCOLbrwSDY95LngeZmWiSUhgbPxXDdOg7/8z8MLr6YQW0ti2DLHtH8LAP115B6jUajAc/zmJ6ejtr8mp07OXz72y4cPqzD17+egLo6K8rKlp6laIw4jqYUOdqICbkEGj88OzuL5uZmZGRkoK6ubsWbRM4F3Pt4oabBvEEW8kgfvLGxMUxNTSE5ORk1NTURHSvU1I0vG5eFhQVlEqUf0DQdMIWmVqtFMgpmJnuwCPR6nU7gv/9VvZvuUmN0dGmHT1E89uzh8IEPMPjABxhUVXFhdaevpnGlr3rNwMAApqenoz6/5itfceHll1U4cUKNz35Wj5dftolS6milxSLxJIwlYha5MAzjQSwcx6GnpwfDw8MhWbiQyEWunRM5XjhpMG9IxxOHc3OTfp7JyUnk5uZCrVZH/BpDcTSen59HQ0MD0tPTPWxc5BpcFi3ESzQUKIVGZrInJSWJRBNJCs37/nc6gVdfVeHZZzV4/nk1FhaWvpeYyOPQIYFM3v9+FtnZkX+WsXQkVqvVYmSzc+dOj3oNmRAp1/walQp46CEH9u834O23VTh1isa+fcJGay0U9FcTMSEXMlmRwGazoampCSzLora2NqQcI/kwWZaVxcOKoii4XC689dZbEVnke19bqDedd2Pi2NgYbDZbWNchRTB1IGkq0JdoINxhYauJeBwWFkiFJk2hkTRaKCk0QWlJ44UXfBNKXh6Hiy8W0l0HD7KIoKXE7/lj2eMkrbn4qtcQsvFVrwm1v6akhMdZZ7F48UU16utVIrlEIy22VqdQAjGMXKQWLq2trcjPzw/YWe4PcpILwzDo6+sDwzDYu3dvxOGoNHIJBdPT02hubkZBQQE2btwImqZlixZWIgapjYu/VOBaIJe1AG8VGilak8mFwaTQSITy5JO5+M9/ymGxLD0DeXkcLruMweWXM9i3j5WlE94fYj1LxV9BX1qvKSoq8lmv0el0Hg2zwdRrqqsFcmlsVAEQmq6jkRZTIpcwwLIs2traMDExga1bt4Zt70w+zEiL+iQNptVqQVGULHlOacovGJDZ9kNDQ9i6datHR6ycY479HYdESzRNB7RxkYNcoq3oigUieU98Fa29h0mRFFpSUgbq6zPx97/rfEYol17K4Iorok8oUsRanBHswi5Xf011tbDeNDQsnTMaaTFi/7IWETNy6e3thdlsxoEDByKyfaAoKiLFmLcaLD8/H6+//rpsD0uwpEAK506n02dqUC5y8RcBERsXEkEGelAJuUT6HkVzMVrrkRVN0+JuuqKiAjabC//6lwM/+5kWx46lwWpd2l3n5rI4//wF1NaO4hOfKFs1QpEi1mmxcM8fqL8mUL2mulp4Fru6aFgsQFJSdCIXRS0WBiorK1FeXi7LhxFul75UDUacfF0uFwD5diHBEJ/JZEJTUxMyMjL8zj+Rk1ykx+F5Hv39/SHZuBBSiIRcOI7DwsICDAZDVGSjZwJ4Hjh9msaf/6zB3/5mwPT00rOSm8vife9bQF3dKIqKhqBSUVCr1Zie1suqQgsW8ZoWCxWh1Gvy8ysxMaFCc7MKdXUsWJYNS/jjD0RtqNRcQoRKpZJtdxlO5OJPDRZJEd4XApGCtFG0qqoKxcXFUbeSkaa03G43WlpaYDabQ7Jxkc7SCQfEE21ubg48z4s7w8zMTFkcYGO5yMlx7t5eCn/+swZPP61BX9/SgpmRweHyyxl8+MMM9u9noVJpAJSB4wTHWpPJtCyFRrzQ5E7XeCPWkUs0mihXqteUlKRiYiIfL744i/Xr3WAYRlaTSUCpuYQFOReAUMhlpaZIuWo40uP5IgWysC8uLq7YKBroOOFej9lsRkNDAxITE0O2cZFGLqFicXERDQ0NSE5OxoEDB+B2u8Ui9tDQkIeiKpIdeCzSYpGcc3qawl/+osaf/6xBff0SEej1PP7nfxh85CNunH++76ZGmqaRmJgIl8uFbdu2weVyLUvtpKWleTR7yk3A8VBzidbEUwLvek1NjQZvvQVMTSVgYKAbVqsVi4uLcLvdspG6UnOJMYIlF19pMG8QmbSchpPe10aipsTExKC77eUwnCTHsdvtOHnyJNatW4f169eH5SIMhL6YTkxMoLW1FWVlZSgvL4fb7YZarUZRUZG4M/TuAyHF1czMTKSkpMSNpb8cMJuBf/xDIJSjR1XgOOF9Val4nHcei49+1I1LLmGCGpwlXdy1Wi1yc3PFWUfhqNBCxZmSFgsFs7MCcWzcmIp9+/bh9OnTIsnL0V/jcrngcrmUtFgsEQy5hNIUKaeljLeDwOjoKDo6OkLuoZGD8DiOw+TkJKxWK6qrq0OeiU0QKrnwPI/u7m6MjIyIo5d9/a40n11RUQGXywWj0QiTyYSWlhZwHIf09HRkZmYG7E+I57QYxwnd8n/4gwbPPaeGzbb087t3C4Ry5ZUMcnJCI25/n4UvFRohcDlTaLFOi8Xi/OPjwmdXWLj0XKanp8vWX2O1WgFAiVxiiUDmleF4g8ltOMlxHFiWRUdHB6amppaNDQj2OJGkXZxOJxobG2G325GUlBQ2sQBLC2gwZOdyudDc3Ay73Y79+/eH9KBotVrk5+cjPz8fPM/DYrHAaDRiamoK3d3d0Ov1Hv0J0a4rRIK+PgpPPqnBn/6kwcjI0iJYUcHhox914yMfcWP9+vA/32DTUr4IXI4U2nsxciE2OoWFwucmrdMGqteQ+3el/hpCLkrNJUSsRs2FYRhxDkwoc93l9CujaVpMQ6lUKhw4cCCsMcCRRC7ExiUjIwNFRUUYHh4O6zgEwUYuZrMZ9fX1SEpKwv79+yNShVEUheTkZCQnJ2PdunVgGEZcFLu7u+F0OpGWlobMzExx0Nxqw/v9WFwEnn1Wgz/8QY0331x61FJTeVx5pRvXXOPGnj3heXn5Onc4z5RcKbRYRy7RkAEHAs8vj1wCKUyD7a8hUU1SUpI4hVKu1/XDH/4Qf/vb39DZ2SlmcO6++25UVVVJXheP733ve3jooYcwNzeHffv24Ve/+hW2bNkS8vnOmMjFX10jHG8wOdNipOu/uLgYVVVVYd8o4ZCLLxuX6elpWcYcr9RISez5w63rrAS1Wo3s7GxkZ2eD53nY7XYxhba4uAibzYbFxUUxhbZacmeWBV57TUh7/eMfatjtwuumaR6HDrH4+Mfd+MAHmKjYr8ihsgs3hfZei1xMJkocT5CfvzxyWQkrza+57rrrUFBQgMzMTDQ0NKC6ujri13fs2DHcdNNN2LNnDxiGwe23344LL7wQ7e3tYnT04x//GD/72c/w2GOPYcOGDbjrrrtwwQUXoKura+0OC4sEUjKQLqhlZWWoqKgI+aaXIy1GjDgXFxeRn5+PTZs2RXS8UMmFOCDMzs562LhE20aG53n09PRgaGgI27dvR25ubsTnCuZaEhMTkZiYiOLiYlEsQdO0OKY4JSVFFAYkJyfLvhAND1P41a+y8Ne/lmF6eikyrapicc01DK66yo2Cgugq2ORe3ENJocXaJXu1yWV0VHivc3I4kH1rJNGTtL+G4zj85S9/we9//3s8/fTTOHToEDQaDQ4dOoTvfve7YUURAPDiiy96/P/RRx9FTk4OTp8+jXPOOQc8z+Pee+/F7bffjiuuuAIA8PjjjyM3NxdPPvkkbrjhhpDOd8akxVwuV9hpMF/Hi+RhcTgcaGpqgtvtRnZ2tiw501DIJZCNi5yqM29ycbvdaGpqgs1mC9mAVE4QsikqKgIg7AqJ7f3Y2Bh4nvcQBoSTpgQAlwt4/nk1Hn9cg1dfVYHnhdebliakvT7+cTd275Yn7bUSVkMKHCiFBgD19fXie7rajZyrTS5LKbGlZ0CuxmuaprFz506Mj4/j+PHjaGpqwqlTp/Dvf/9b1j6ahYUFABA3ngMDA5icnMSFF14o/oxOp8PBgwdx4sSJtUMugHwGiCqVCg6HAydOnIjIIl96vHAjF6PRiKamJmRlZWH37t3o7OyUJcVGyGWlRWRmZgbNzc1+bVyiFblYLBbU19fDYDCgtrY2qDRUtAwwvd8fnU7nIQwwm80wGo2YmJhAV1cX9Hq9uCimpaWtuEB0d9N44gkNnnxSjdnZpfd3/34rLrpoFDfeWIAw+SpsrHZfjzSFVlhYiKNHj6KqqgpmszkmjZyrXfMhvUjr1nHi+eX2FiNTKNVqNWpra1FbWyvbsXmexy233IKzzjoLW7duBSCksgEsyzbk5uZiaGgo5HOs+bQYWSxmZ2exfv36sNJg3ggnLcbzPAYGBtDX1+cxj0YuccBKlivB2rjIGbmQ40xNTaG5uTlq9RU5QVEUUlJSkJKSgrKyMrjdbjHV09nZ6ZHqyczMRGJiIiiKgs0GPPusGk88ocGJE57Ow5/4hBuf/KQbavUw5ubmkJBQsOqvK5ZNjITY0tPTkZOTI6sKLVisZkGf54V7AQAuuogRzw9A1muIpq/YF7/4RTQ3N+P48ePLvuf9uYR7b61pciFpsNnZWaSkpGD9+vWyHDdUQnC73WhubobFYsHevXuRmpoqfk8uWbPUvt/7Bg7FxkWuyIVEUj09PRgcHMS2bdvCdraOBoJ9jRqNBjk5OWLvDUn1GI1G9Pf3Y2oqDa+8UokXXsiG2SzsSmmax/vfz+Laa1248EIWpDF8ZCRar2ZlxJJcpGPKCQKl0AYGBjycGNLT0yP25FrNtFhHB42uLhW0Wh4f+AAjnh+ArJFLtLrzv/SlL+G5557D66+/LqaOAYjP7+TkpIcj+/T0dFi10zWbFiP2JXq9HpWVlZiYmJDtukJJiy0sLKCxsRFJSUk+bVRomobb7Y74mvzNhgnVxkVO94Guri64XC7s378/rrqIw11kSapHpzOgoaEMDz+sxrFjS+m9nBwrLrlkCh/7mAObNgnRj/e54rmBM1ogz7C/xX01GjlXk1yeeUZYNt/3PhZkH0nWCzk/A7l9xXiex5e+9CU888wzOHr0KMrKyjy+X1ZWhry8PLzyyiuorq4GIPSpHTt2DHfffXfI51tzkQvP8xgdHUVnZ6eoBpuZmZFNOgwEP62RXEeg5sxoRC4ExE4llHSUHHUOi8UCl8uFhISEoOsrawFTUxQee0yDRx/VYHxceL8pisdFF7G4/noXDhywYX7eDZNpAU1NAwAgLojhikfkQjykxUJxm5Cq0KT+cuGm0FaTXEhK7LLLljaNpN4iN7nIGbncdNNNePLJJ/H3v/8dycnJYo0lNTUVer0eFEXh5ptvxpEjR1BZWYnKykocOXIEiYmJuOaaa0I+35oiF5IGMxqNHmowOftSyPECRRtSme9KqjS5ai5ScuE4Dl1dXRgbGxPtVEI5TiTXQ6ZkqlQqVFZWxi2xBG9NA5w8qcKvfy3YsTCMsDhkZXG49lo3rrvOjdJScqwEJCYWoKCgADzPY3FxEUajEePj4+jq6oJGo4FKpYLJZFoVJ2LP1xG7+TWkxyXchVWj0USUQiOzhVaDXHylxIDojDi2WCyykssDDzwAADj33HM9vv7oo4/iuuuuAwB84xvfgN1ux4033ig2Ub788sthZSbWDLlI02AHDhzwuMGiQS4Oh8Pn96xWKxoaGqDRaAJOaySQ2wTT4XCgpaUFbrcbtbW1IYfN4Q764nkefX19GBgYwLZt29DT0xO3A7mCeV1ut7ADve8+LRoalhaFvXtZfPazLlx2GYNAZQCKosSOa2LC2d3djYWFBXH3TbqtMzIyRGFAtBDryEWuc4eTQiNYDXIhKbFDh5ZSYkB0BAU2mw3Z2dmyHS+Y55WiKBw+fBiHDx+O+Hwxr7msBF9pMO/fk5tc/KWyJicn0draiqKiImzYsCGom4miaBiNKhw/TqGnh0JvL4X+fgqLi4ICyeEA7HbAZqPgdgPJyTzS04VeibQ0ID0dyM7mUVXFY34+GTzfhLy8DOzevTssi3HpLJZgFwSGYdDc3Ayz2SzWV3p7e+OWXAJhYQF4/HENHnxQK3pDJSTwuOoqN66/3o0dO8LbCGg0GiQnJ4PjOGzduhVWqxUmkwmzs7Po6+uDVqsV02fp6emy28PHuqAfrXMHk0IjAhabzQaNRhPV98FXSgyIzohjudNiq424jlz8pcG8QchFrgfMO5UlTUNt27YtoHKCYYBTpyi88gqNV1+l0dZWBrO5IuhzT0wEuv5zoVLxWL+ex6ZNPHbv5nHuuRyqq3kEu1ZJTSeDIUer1Yr6+nqxvkIEA3KpzqIF72sbGqLwwANaPPGEBhaL8B5kZ3P47GcFUsnKkue1kPRQUlISkpKSUFJSApZlMT8/D6PRiL6+PtjtdqSkpIi9NcnJyRHft7GOXFar3uErhTY9PY35+Xk0NjZCrVZ7RIxyToZsbaXR2bk8JQZEJ3JZy1MogTgmF5IGS0hIWJYG8waZaiknuZDIxeFwoLGxESzL+k1DTUwAzz9P49//pvHaazTm56P3kLMsha4uCl1dwLPPCl9LSeFxzjkczj2Xx/vex2HTJv8LZShTJEl9pbi4GJWVlR4Pj1wNkNFYFKXH6+6mcc89Wjz9tFqcl7JpE4svftGFj3yEWZVmR5VKhczMTHFzZLfbPQak0TTtYQ4Z7oJ4JqTFQgFJoeXl5WFgYABnn302FhcXYTKZxNEWJIWWnp4eVINsIPzkJ8LG6gMfYOA92y8aNZe1PIUSiMO0WDBpMG+QD5VhGFksJwi5kG777OxsbN682ePm4XngxAkKDz6owjPP0GIhOBZYXKTwz3+q8M9/Cv/fupXDVVdx+MhHWKxb5/mzwTgaSxsyt27d6qF5lx4nniOXnh4tvve9BPz1r2rwvPCazzuPwZe+5ML73sdGxZIl2PdDr9ejsLAQhYWF4DjO74KYmZmJ1NTUoHbEZ2paLNjz0zQNlUq1LIU2NzcHo9EoNsimpqaKqclQhnd1dNBiveUb33D5vAYlLeaJuIpcgk2DeUM6914OkGmN9fX12LRpk0ejkc0GPPUUjQcfVKGpKT6nIra20mhtpXHHHWrU1nK45hoWV1/NISnJf78MAcMw4vjlQA2Z8Uoura00vv3tSrz2WoZIKpdc4sY3vuHCzp2xNVf0BZqmkZaWhrS0NJSXl4ud7UajEW1tbWBZVhwlQIQBvhDLzyLWdvv+Urz+GmSJzT0ho2Aixh/9SAuep3DppW5s3br8PpI7LUauV4lcZIDZbEZjYyN0Ot2KaTBvkNHEcpCLy+VCf3+/qMYiiyvLAr/9LY3Dh9UwGuPX3sQbb75J4803adxxB4/rr2fx+c8L75EvciFKOK1Wu2JDplw2MnJhcJDC4cM6/O1vGgDCA3nZZW58/esubNu2etcZ6Q7eu7PdarXCaDRiZmYGPT090Ol0ItFIhQFK5BJ4YQ+kQhsbG0NHRwcMBoNINNIUWlsbjWeeEST3t966PGoBoidFVmouYYLsfkNNg/mCHIqxhYUFUe6s0WhEYjl1isJXvqJGfX18RirBYH6ewk9+osa996pw4MBuZGTQ2Lt36fszMzNoamoKWgknR+RiNpuhUqkicnqdnwd+8hMdHnxQA5eLAkXxeN/7TPj852dx4YWr6/Eld/QgFQaUlpaKA6ZMJhN6e3vhcDjEGe1yuECEi3iNXAJBqkID4DeFlpGRge9/XxDkXH65G1u2+N6oRCMtpkQuEYBIXENNg/lCJOQinQGzfv16ZGRk4J133sHsLPCd76jx6KO0mGJZ62AYCseOFeHgQR5XX83hO99xg+MEw80tW7agoCC4BTkStRjP8+ju7sbQ0BA4joPBYBAL3sHWGNxu4De/0eBHP9LCZBJ+/rzzGNx1lxMqVe+K88nXIrwHTEkHpC0sLMBiscBsNq+65f1aiFxWgncKjYgu3nrLieef14OieHz4w+2YmND7TKFFIy2m1FwiwMLCAlwuV8hpMF8Il1ykM2DIUC2r1Yp33snApz6ljSgFRlF83JISz1N48kkVnn6awoc+lIAf/GAfCgr8G156I9zIhWEYNDU1wWq1Ys+ePVCr1aJMl9QYyKyVzMxMn02qp0/TuOmmBLS3CzvFjRtZfP/7Tlx4oVCo7+iIz/dcbuj1ehQVFaGoqAgNDQ2ipJk0GyYnJ3s0G0YruohlSg6Q3/pFOnzuG98Q7r9LLrFjyxb4TaGxLCur7JnMp1LSYmEiKytLFo0/EB65WCwWNDY2QqvVijNgeB546CE9vve9faJ01R9WIg+aFmo18Qy3m8Zf/1qG117j8eMfM/j4x4MbbhUOuZCeGb1ej/379wMQFgZpjcFiscBoNGJychLd3d1ITEwUlVNabRp++EM9fvUrDTiOQmYmhzvucOFTn3Iv6/OJVYE7lotsYmIiCgoKRMt74u7c2toKjuM8BqTJGdmt9qCu1Tp/UxONf/5TA4ricccdvOgh6GtMg1qtRlJSEsxmc0gqNH+wWCwAoEQukUCuhzFUciGmjyUlJWIPh8sFfPnLajz2WHC5UymxJCXx0OngEemwLAWViodazYLjVHC743dHbTJRuP56Df70Jw733edeJmH2RqjkMjs7i6amJhQWFoo1He86AUVRSE5ORnJyMtatWweGYcQF8s9/nsDPf56FiQkh1XPFFQ789KcMMjPjT7EWC3hHD1qtVhybKyXtqakpdHd3IyEhwUMYEEm94EyLXACh1eDOO4VI5MMfZrBx41KtxVcKraWlBU6nE/X19bL0LVmtVjGCWquIObnIBbVaHRS5cByHzs5OjI+Pe5g+zswAH/uYBm+8EfgmVal4sKzng0TTPGw2iJ3faWk8nE7B2oXjAKdz7bzN//43jV27tDhyhMENN/iPYoJVi/E8j6GhIfT09AQcYuYLarUa2dk5eOqpQnznOzqwLIWcHDduvrkTW7YMoKdHD5Np+QTJWLsDx+rc/l63L9ImO+/u7m44nU6PAWmhDvJaiwX9lfC3v6nxyitqaDQ8br3V6ffnCAHodDrk5OQgLy9P7FtaSYUWCKSBMp4H762EtbPqrYBgIhe73Y7GxkbwPI+6ujpxV7C4CHzgAxq0tAS+QTMyeJhMwoedmckjIQEYH4eYPktN5aHVAhYLYLdLd5Hsu1JpxHX0QmCzUbj5Zg2OHmXx4IPLu5GB4CIXjuPQ3t6OmZkZ7NmzB2m+DhQAZjNw000JePZZQQZ61VVu/PSnDqSkrAPDFC1T95C0D8MwcevWHC2EEj0IpJ0tmiJKB6QNDg6KLsQkslnpvTwTCvpSGI3A178uRBtf/aoLlZUrbxpIQd+7b0maQiPzj4gKLSMjw28KjUyhVMglTMj5xq1ELmS2fG5uLjZt2iTuHlwu4KqrViYWACKxZGTwcLuXUmAbNnCYm6MwM7P0etLSeNC0cHyLZfWs1+XEs8+q0NhI4w9/cGP3bs8HbCW1mNPpRENDAziOQ21t7Yru0d4YH6dw2WV6dHaqoNHw+NGPnLj+ercYSUkXSKKsMZlMmJmZwdzcnBjJZmZmRmz7sVYQ7vNEitdFRUXgOE6UOw8NDaGtrQ3Jycki0aSkpCxbyM+0yOVb30rA7CyNTZtYfPWrvvtavOGvz8WfCs1kMmFwcNBvCk1uGfLrr7+Oe+65B6dPn8bExASeeeYZXHbZZeL3r7vuOjz++OMev7Nv3z6cPHky7HPGPHKRq9PbH7nwPI/e3l4MDg4uS8vwPHDDDWq89pr/GzM5mYfZLDy06ek8GGaJZNLTeWRm8ujvp8AwQn0lN1c47uysZ5RCiv86HQ+nc+3sRgYHKZx3nga//jWDq69eSoMF+txIv1B6ejq2bt0a8sI+PEzhkksSMThIIz+fw+9+Z8fevf5TcN5GkR0dHWAYBjzPi7tF0uWemZkpDkaKBta6v5d0sQOETQJZDFtaWsDzvNjVTtR8Z1Lk8sorKvzpT0IR/5e/dAQcu+B9DSvd51IVGiFy7xRaYmIinnrqKWRnZ8siDCCwWq3YsWMHPv3pT+PKK6/0+TMXXXQRHn30UfH/kUrZY04ucsEXubhcLjQ1NcFut/scxXvHHSr88Y/+b4jCQhZTU8JNu349B4eDwugoBa2WR2Ulj8FBCr29wvfLywXiGR5euhn0eh56PQebjYfDIbzVa4lYCFwuCp/+tAZDQwy++U1B7uuPXIhQoqKiAmVlZQEfDl/f6+8XiGV0lMa6dRz++U8bSkpC23zQNA29Xo/169eLNhpGoxGzs7Po7e0Vu9yJx5RcUU2say7RgE6nQ35+PvLz88HzPMxms4eaT6/XQ61Wi89fLCJEucjFbAZuvlmIsL/wBXfADY03wulz8ZVCGx0dhclkwnPPPQej0Yjzzz8fF154IS644ALs2LEj7Nd58cUX4+KLLw74MzqdDnl5eWEd3xfOKHJxOpcKb8SCOzU11eco3j//mcZPfhL45Y+NCQ9KXh6PqSkKZjOFzEyBWE6eFD7kwkIeKSk8urspsKxAPPn5Qt3FaKRgty89bGo1H1ODy0hx+LAag4MU7ruPWVbQJxHi0NBQ0NMxvRfEuTngwx8WiKWyksU//mFHQUHoi6aUtKS2H8T+ntRquru7xRw4IZtoD/WKFlZDsUVRFFJSUpCSkoKysjJRGDAwMACr1Yr//ve/4nsZ7HhiOSAXudx5pw4jIzRKSznccYf/Ir6/a4iUWDUaDcrKyvD444/jkUcewdNPP40rrrgCL7/8Mu666y40NTUtm3svJ44ePYqcnBykpaXh4MGD+MEPfhDSlFtvxJxc5E6L8TyP4eFhdHd3o7KyEqWlpctucKMR+OpX/b90jYYXU1plZTyGhoSifWGhMDeFEMvevRz6+iiMjS0RDcsKs0MAQUWWnMxjYUH4/lomFoLHHlPBagW++U0KNC2QC3FasFgs2L9/f1jafIYBPvMZPXp7aRQXc3j+eTtyc+XfjatUKrHLneTAjUYjjEYj+vv7odVqfXp3xTtiIQcmda+FhQUwDIPi4mIxhdbf3w+NRuMxIC1aIgs5Fva33qLx0EPC9f3iFw6EWu6QO2qz2+3Izs7GjTfeiBtvvBFutzuqIpWLL74YH/nIR1BaWoqBgQHccccdOHToEE6fPh12c+jaeHKCAJl739TUhLm5OdTU1Ii+Qd741rfUHsV3KUpLeYyPC//es8eB1lYdOI7Cnj0choYojI1RSEnhsWULj7ffFqKV4mIeqak82tspcBwFlYoDTQNqNSUSy5mEp59WwWwuxfe+1w+bzYb6+nrodDrs378/7Dztj36kxX/+o0ZiIo8//jFyYgl2pCvJgRcXF3sM9SLeXVJH4mB24rGMemJZ71GpVB7GkCzLYmFhAUajEQMDAz6FAXJdL8dxES28TifwxS8mgOcpfPzjbhw6FFrnM8/zsosKvK1foq1+vOqqq8R/b926FTU1NSgtLcW//vUvXHHFFWEd84whF7fbjfn5eaSnp4vd9r7w2msUnnjC9w7DYOCxsCAU4gsL7ejs1MJup7B9O4fJSQrT0xRKSnhkZPB4803hRqqs5LCwQKG1Vfh/drYNLKuFyaRGDL0Eo44XX0wDzxfhi198E0VFBaiqqgr74Wpro/Gznwmk9MtfOrB9e2QuxuEuWt5DvaQSXbITl9ZqvKOaWNdc4mkSJZEzE2GAw+EQo5qRkREAEL+fmZkZkXVKpAv7D3+oRVeXCjk5HH7wA0dY5wcga+RisVhi2p2fn5+P0tJS9PT0hH2MmJOLHA/E+Pg4+vr6oFarUVNT4/eYdjvwxS/6f8k2m9B1n5nJY35eA6tVhdJSobdldFRIi2Vl8aivp6HR8Ni/X4henE4KaWkMABYzM2u3ozZUvPRSDsrKanHvveG/Zo4DvvzlBDAMhUsuceMjH2FW/qVVglTZQ6Iak8kkjiqW1mpi7V4bS2ILJi2VkJCAgoICFBQUgOd5USU1Pj6Orq4uD5uf1NTUkBbqSMjlxRdV+NnPBGL76U+deJcLQwIREskZudhsNr+zlFYDRqMRIyMjPgcFBouYk0sk4DgOHR0dmJycRHl5OSYmJgKS1aOP0ujr830DpKbyWFgQUl5FRTyamtQoLnZBq1Wjp4dGQQGPggIep07R0OkEYjl2jNRa7HC5KMzMJICieOj1pDt/7ddYVsKDD6Zj+3Y3PvOZ8KKNF15Q49QpFZKSeNxzT2hF1ECQe7GVRjWVlZUejsQDAwPQaDTiH4ZhVr1WE2+RSyBQFIXU1FSkpqairKzMw+6+o6NDbIglkc1KIotwyWVoiMLnPid4rH32sy5ceml4G5tokIvVao1oYfeGxWJBb2+v+P+BgQE0NjaK7/Hhw4dx5ZVXIj8/H4ODg7jtttuQlZWFyy+/POxzrllysdlsaGxsBADU1tbC4XBgdHTU789zHPDAA753Q4WFPBYXhX/v2sXj6FEaKhWP8nInjh3TIiWFx4YNwtc1Gh5790qJxYrZ2QQ4nSro9UKH/sJCuGkZHjk5gk8ZIHiTzc8v9dXEK770JTU2bHDjrLNCW9B5HuKu8YYbXCgslIcQVmNKptSRmDQe9vf3w2w247///S9SUlJEMpKzX8Ef1vKwMF8TI4nIoq+vT0xHkoXQm7jDIReHA/jUp/SYn6ewezeLI0fC39iQyE3O95/Yv8iFd955B+edd574/1tuuQUAcO211+KBBx5AS0sLnnjiCczPzyM/Px/nnXcennrqqYhcmdckuZBu+7y8PGzatEk0QQzUof+f/1Do6fF9A6rVgNlMIT+fR0uLcIPs3GnBf/8r5DzPPZfDc8+pQFE8PvhBDn/7m0BS27fPoqMjE243hawsHg5H8MSi0/E47zwOZ5/NY8cODlu3CsTi6xlxuYDRUeCNNxZw4oQFPT25OHVKFzeeZSxL4dprNTh50oV3HUWCwsmTKpw+rYZez+PGG9dugYo0Hs7NzSE5ORklJSVirWZoaChkO5VwsJYil0DwJR0n6cj+/n60tbUhJSVFfD+Tk5PDIpdbb9WhoUGFjAwOTzxhD7pZ0hfknuUCLC/oR4pzzz034IbrpZdeku1cBDFfnUI1yOvp6cHQ0NCywVYr2b/cf79n1EJ6TlQqHu/WF5GUxKOnh0ZZGY/hYUEldvbZHF5/XbhxDhzg8Y9/CP8uK1tEV1fmu8V/HkYj4HCs/FoOHuTwuc+xuOgiLmi5o1YLlJcDiYl25Od3gKa7sHlzNVpbM/D00yo8+ywddrQkF8bGKPzv/2rw7LNunwTpC089Jdx+V1zBIDtb3kgjFjUIck69Xo/CwkIUFhaK43SJb1d7e/uyxVEuUljr7gC+4J2OdDgcYjpyZGREjFIXFhaQnp4elDDgj39U47e/1YKieDzyiAPFxZHdK9FoHrXZbGvabh+IA3IJFk6nE83NzXA4HD677dVqNTiO83mj9/UBL77oueKRnhOdTjBq3LePQ2Oj8LXt2zn8/e9a5OS4YLWqMT9PYfNmDgMDgpJs48ZFjI0lw+kUZMiEWAwGHlar74fs7LMX8bOfJWDbtvBuZIfDge7ubnAch7POOgsJCQnIy+Nx/vkM7r0XeOopGvfdpxJVa7HAyy/TePhhGjfcsHL9xe0GnnlGuP0++lF5o5Z4aoKUjtNdv369qJoyGo0YHh4GTdNiRJOZmRl2VLOW02KhICEhwYO4zWYzmpubRQuVpKQkDwdi74iirY0Wu/C/+U0Xzj8/8oFL0RhxLHdaLBZYE+QyNzeHxsZGpKeno7q62mexlHy4LMsu+/6TT6p8DvXKyeFhNgv/1mgEa5Zt2zi8/bZwQ27caMXrr6dDr+dRUOBEe7seWVlu0HQSzGYhYllYEMgJENRo3igs5HHrrf046ywzNm3aFPbrb2hoQEpKCjiOW2YCqdcD113H4dprOTz3HI3vfleFzs7YkMztt6tx8cUulJQE/rnTpymYTBTS0jicc06cT1QLASstslLVFIlqTCYThoeH0dHRIfaChBrVxFoGHQvjSpqmkZqaCrVajaqqKiQnJ4vE3d7eDpZlPfqU3G49PvEJPex2CocOMfjmN4MzpVwJyohj34g5uQR6eKSzQDZs2ICSkhK/Px+IXEhayxspKTymp2nk5fFoa6Pe/RrQ0kKhoMCN8XGh92LbNiv+8x9hF1FWpsKpUzSSknioVMDiIoW0NB5W63I7/Qsu4PDb37oxN2eD2x26morneYyMjKCrqwsbNmxAcnIympub/f48RQGXXsrhkks4PPigCt/9rkqcMbNasFgofOUrajzzTGDlzdGjwmdy9tksomFHFcvFNlhIo5qKigo4nc5lKR9prSZQg+p7JXLxd36VSgWNRuMx1dRqtcJoNGJmZgbd3T34yU/2oq8vBfn5DH79a4ts0UY00mIWi2VNjzgG4oBc/IFhGLS0tGBhYSGoWSA0TYOiqGV1F6cTePtt3zf+9LTw9YQEYHKSQlmZYEYJABs3OvHqq0nQ61lYLAx4Xqi/nDolfL+igkdTEw2aFuz3vYnl6qtZPPwwA7UaWFiggxqsJQWZhTI9PY3du3cjIyMDCwsLQR1HpQJuuonFpZey+N//1YjKttXCCy+o8MorLC64wP8Cf/Kk8H4dOBA/fS2RIlJC0+l0HlHN4uKi2G/Q3t7uEdV4d7jHuqAfa3LxPr/UKbu0tBT33KPG8eN6qNUcbr31NNrbpzA2liqSdySKvmikxeS23I8F4pJczGYzGhoaoNfrUVdXF7SliK+i/qlTlF8n4sVFChQlNEYODlLYuJHDCy8IPRfz88Lv7Nkzj//+V+isoiihtlJezqOrS/h+VtYSSRF87GMsHnmEEXfkoY5gdjgcaGhoAM/zqK2tFeed03RoJFVUBDz/vBs/+pEK3//+6n7Ut92mxqFDbr9RSVOTQHi5uaMwmw2yynXjqeYSLqSOuSSqISkfIrknCyNxFIhl5BLP81z+9Cc1vv994Rn68Y9d+PSnN8NuL/NQ9BHFXzBRojeUtJhvxJxcvB+IsbExtLe3Y926dVi/fn1ID4xKpQLDeO6Ejx/3/aGTqZIbNwqOxsBS7WTHDgfefFO4GTWaNPC8YAFz4oTw/eRkHg4HjawsHnNznsfduZPDAw8wHotqKKRA6kuZmZnYsmWLx44oVHIBhCjm9ttZbNrE4zOfUQelaJMDLS00nnqKxjXXLL/e2VkOExPCdRQWGlFf3+WhCvLVyxAq1kJaLBR4W9+TqGZ0dBQdHR0AgOHhYeTm5voc6BVNxEPk4u/1Hj2qwk03CTXKL3/ZheuvF8Qj3oo+X1EiEQakpqYGfD/ljlzsdjs4jlPSYnKBZVl0dHRgamoKO3fuFEewhgJfEcKJE/468gGTSWiuXFwULF+GhoTv2e0WcJweZWUWnD4thKbZ2YLCrLKSQ0eH8CAxjGc6TKfj8Yc/uPFuoCEiWFIYGRlBZ2enXzdncpxwHuYrruCQkeHGFVdoRBKNNn7yExU+9jHOQ5rscrnwwgvdAHYjO5vDnj0bQVHUMpNDb2uVtRKNrMZ1Sjvcy8vL4XQ68cYbb8DpdIoDveTy7QoGsZxEyfO8aJzpjdZWGp/4hB5uN4UrrnDjzjt9N0p6R4kul0v0QWtrawPLsh4D0vReD7jcNRebzQYASuQiB0i3PUVRqKurW/bhBQtf5OKvad9iEf4mUybLy1mcOqWGWs0hISENAJCV5cDAQBIyMpackjUaYXhWYSGPiQnPY37lKywqKpafayVykdrY7Nq1S0xz+DoOEP5O8dxzefz1r2586EOaZTWiaKC9ncbzz9O45BLhtVssFtTX12NuTpCSCSMKWHFOSGpqKtavX+9hgz8wMCDa4Ac73GutEJFcIPLlqqoqaLVacaDX+Pg4Ojs7kZSUJEaEK+3Cw0EsC/rkufJ+TWNjFD78YT0WFykcOMDg1792BN1/pdVqkZeXh7y8PPA8D4vFAqPRiOnpafT09CAhIUF8P9PS0mRPi1ksFtA0HfJo8HhDzMnF6XTixIkTKCgowMaNGyP6kHyRy+ys75ueWO6npPAYH6fgds8DyMKGDUBXl/C2kNRKcbFQvBfmvAi/b7V6eoelpvL4+td911UC1Vyks+ZXIlby3kSS4z7vPB4//OEUvva10CfOkVHNoeCBB1S45BIOMzMzaGpqQklJCdRqYeBRUZHwOnie93h/NBoNCgoKPAwjpcO9pCOLExN9m2bGqokyFossea0URS0b6OV2u0UFWmtrKziO86jVyBHVxDJyIeQifd8XFoArr9RjfJxGVRWLJ58MvwOfoigkJycjOTkZ69atEwekmUwm9PT0wOFwQKPRwGAwwGw2y1I7JD0ua32TFHNySUhIwJ49e5CamhrxsbwXcY4TBoMFglrtApAAihLSX5mZQHu7UOifnxeKeiT1WVbGo7ubBkXxywrVV1/NwV+K1F/kMj8/j4aGBmRkZAQ1a15KLuGC53kcODCISy6x4p//9BFm+QAhFZ6noNPxcDop0DQflDHnf/5D4/jxMdjt7diyZQvy8/NBxnQXFwu1BJLqY1kWHMeJf4CllEV6erqHYSQZWazX68WF0lfT3HsBUnLxhkaj8diFk6hmYmJCdCMm71+4UU08RS4uF/Dxj+vR3q5CXh6Hv/7VDj9jncICGZBG0vY2mw1tbW1wOp2or6/3GDUQqjCAgNjtK+QiA9LS0mTZaarVag9ymZ8XfK+8kZ7OY26Ogl7PiqktlhW2NuQySks5mEzC14hGgHwvO3u5QuwTn/CvBvNFLqQQu379eqxbty6oG4n8TLjkwjAMWltbYTKZcNNNdgwMlKGtbeXFhOeXkwkZisayK//+b3/L4qc/rUFqaipYlsXEhECiZIQxWRgIuXIcJxINGcQECK9fp9OhsLAQxcXF4i6SuOkyDCMOiIvVgxnPw8J8RTVEMSWtLRCyCTYtE+vIhaKodyNg4MYbE/D662okJfH4y1/sKCmJbgSbmJiIhIQEpKWlobCwUKwdDg8Pe8jHyYC0YN4nm83mNyJfS4gLcpEL3pGL0ej7YdNoeAAUtNolAiEgv15ayuPYMeHhWlgQvkaeXVKvIUhJ4VFd7f8mpmlavC6O49DZ2YmJiQlUV1cjKysryFcXWeRit9tRX18vdjOPjIzggQcYnHNOcDsrodYkRC3JyTzMZsGXLRiFdUNDOVJSnOJ7QFyes7J8v2c0TXu8VmlUI/18iXVKZmYmKIqC1WrF7OwsxsfH4XA48Pbbb3v0hZypUU24GzPvpkNSW5icnER3d7fHjJVAUWGsGzgJsXz3u1r8+c8aqNU8fvc7e8RD54IFKehLm2IBiPJxk8mElpYWMSVJ/vhLgStpsTiEN7m4/Lg7kFRZQoJaNHwkGwWybi8uCl9PSuLF45B+GYNBGCxGsGfP8jSZ93VxHAen04nGxkYwDIPa2tqwdifhyJGJfUxubi42bdqEmZkZ8LwwOuCqq1g89dTKShenk0JiIu/xuoHg6jAdHSp0dfGorBSun9TBguHVlaIaIj2nKAp6vR4l7/rOmM1m5OTkwGg0eiioCNmEO445EGIlfw6UFgsW3rUF6YwVYqXiTzEV67QYTdM4ckSLe+8VNoq//KUD73vf6lkK+Svoe8vHzWYzTCaTSN56vd6DvMk9LvcUytdffx333HMPTp8+jYmJCTzzzDO47LLLxO/zPI/vfe97eOihhzA3N4d9+/bhV7/6FbZs2RLReeOCXOSav+FNLunpvo9JUjkZGTympjx9wci6TYwtDQYedjvl8T1vD7GVQm8Subz55ptIS0vD7t27w+7jIAXwYEHkzVVVVeLCKyWob3+bxZ//TAckCJISE0w+hfdBqL2okJKyNAsnEP7zHzWqqoTPhkSU/iKXQPCOaqR/pNEhAGRnZ4u7crPZjNnZWTEdmZycjKysLNmdiWMBOcjFG94zVoiVClFMkVpXRkZGTJsoOY7DH/9Yid//XiCWI0cc+PjHV9f1IZg+F2lKUioMMBqN6OrqgsvlQmJiIl5++WWoVCpZu/OtVit27NiBT3/607jyyiuXff/HP/4xfvazn+Gxxx7Dhg0bcNddd+GCCy5AV1fXe2+eiz+oVCo4nUtadj+KXhHSfg+rVfibrNsk3cwwwmAhYCkt5vAas52TE3iRnJmZAcuyIdVX/CHYyEWafvOWN1MUJR6jspLH+9/P4cUX/T8cWq3wmi0WIDFRcH7OzOTeLeyTYwaOYP77XxVuvFFY/EnkkpkZ2YbCV/psfn4eY2NjKCoq8ohqDAbBBaC8vBwul0uUOhMPL2kDZyTzVuK55hLJcaVWKtKFsbOzEwDQ2dmJ7OxscXLkauH//b8k/P73RQCAu+5y4ItfXP25QOFIkaXCAJ7nYbfb0dnZiddffx0NDQ1QqVT43//9X7z//e/H+eefj4xw5i+/i4svvhgXX3yxz+/xPI97770Xt99+O6644goAwOOPP47c3Fw8+eSTuOGGG8I+7xmVhPbu0NfphMXQGwaD8LXpaWEHDixFKkRqvBTBQEx5EVJZ3iTp+3pI/0p/fz8AREwswrlWJheXy4XTp0/DZDKhtrZ2Wd+Md/TziU8EPp7TCej1PNxuCiRaF+pWS+8NRQkRjj+cOKECzwtRHxlLECm5SCGk22bR1NSEsrIylJWVQaPReBiaMgwDl8sFmqaRm5uLrVu34qyzzsK2bdug0+kwODiI48eP4/Tp0xgcHITFYlkTnf6+5LjRBFkYN27ciP379wMAUlNTMTMzg7feegtvvvkmuru7YTQaQ7I9ChU//7kW99yTBgD43vec+PKXYzNwLtImSoqikJiYiF27duHll1/Gl7/8ZdTW1iIjIwN33XUXCgsLxcZKuTEwMIDJyUlceOGF4td0Oh0OHjyIEydORHTsuIhc5HooSG2DYHx8HAZDLmw2z50UIRC7nRLJRRgtTInKMFJ0tlgELzGTiRIJhzReEviy2ne5XGhoaIDb7UZNTQ1Onjwpi03ESuRCfNmSkpKwf/9+n+k3aeQCABddxInD03yB5ylotTzs9qXoDRD+sbgIJCUxsFjUUKt5+Lu02VkKY2NLx1erecigPn/3+gT37P7+fmzduhU5OTke35eKAkhHtzSqSU5ORkpKCioqKsRhVMRzSq1WezRwRmpLEy3EOq1XXFyM8vJyjz4Qku4Jpi8pVPzylxp897tCKuwzn+nD//1fzgq/ET3Ibf/icDhQWVmJe+65B/fccw+MRmPUosHJyUkAQG5ursfXc3NzMUQsS8JEfD4pYYLUXKQpofz8QszMeP6cy7X0IKanA5OTSwRBNlouF5CQwMDhUPskDymITxbBwsICGhoakJqait27d4tfjza5TE9Po7m5GaWlpQF92bwjl6QkoKaGF52KpRAUYZQYoZC11WqlYDC4YLVqkZLCwWIR0mdMgHR3czONggLh2jMzpUQVPshnPTMzg5qaGqSkpCz7GX+iACJzlu6u1Wo18vPzRc8p0sDZ19cHu92OtLQ0sVaj1+uXORPHArGMrryjJu90j81m8+hLSkhIEIvYwbgt+MJ992lw++3EL8yIyy8fARA7cpG7Q99qtYqKMwB+HTvkhPdaIYcC8IwjF5fLhbfffhssy6K2thY1NSoEGIEiprS8i/bj40BJiQNDQ0kgZRx/kSmZBSP83jja2tpQUVGBsrIyjyiBZdmI56f7Ihee59Hf34/+/n5s27YNeXmBu+99HWP7dh4nTy7/WXJ/kTWA44Sow2ymkJPjhtWqhVarEb8XCH19FHS68Iv53nC73WhubobL5cK+ffuC7ssIJHX2buBMTU1FWloaKisrxYWSkI1Op/No4IwVYm23Dyy3XwGWal0GgwElJSVgWVas1RC3BamHXGJi4oqv48EHNbjtNjJJ0onPfMaIycnYZffJBkXOyMVqtaK4uFi24wUCWSsmJyeRn58vfn16enpZNBMqzihysdvtsFgsyM/PFx2F9+/n8Nvf+v/giasxSZVNTFCiY7LNJrw9pMbiL33c2UlhYYHD+HgXxsbGlhlvklkzkXTWE3gfh2VZtLS0YH5+Hvv27fO5c/d1DO/d7rp1vhd7nc6z7jQ9DWRnM5icFPoJACG6EfqGlosdpBgcpJCTI0+9xW63o6GhQXR4iER9B4TewCldKDs7O+F2u0UbELvdHrY/XjiIdZ8JEFxaTqVSISsrC1lZWWIRm5B1f3+/6CGXkZHhMwX54IMafOMbArF87WtO3HabC+Pjsbf7ByA7uazWLJeysjLk5eXhlVdeQXV1NQAhpX/s2DHcfffdER07Lsgl0geD5Nx7e3uhVquxbds28Zj79wdexEjE4nIJ/mALCxSKi3mYTADDCDctUZK53UuyXCkYhsKvfz2Aujojamtrfd4Y4fSn+IL0OA6HA/X19aBpGrW1tUH7RPm6lrQ0fw2Nwt/k2WFZCjTtArAUgUmjmkCYnqZEGXJ2dvjksrCwgMbGRuTm5mLDhg2yLi6hNHBmZGQgKysLGzZsgNVqRUdHB2w2G06ePCmLrUooiPWgsFDPT4rYiYmJIlmTFGRvby8cDodYq0lPz8D/+38ZuPtu4f7+v/9z4o47XKCo2M+SIfeE3GkxOftcLBYLent7xf8PDAygsbERGRkZKCkpwc0334wjR46gsrISlZWVOHLkCBITE3HNNddEdN64IJdIwDAM2traYDKZsGnTJvT09Hjc6JWVvBiJ+INGI5BKbi6PhYWlRVKjEf5hNFLvmlYGktrm4JZbSv3uoOUmF9IYmZOTg82bN4d0c5PIRbrj9bc2kMMyDA+tloPLpYJen/Du9wSC4HkGgBY63XL3AilmZ6mIZchTU1Noa2vD+vXrUVxcHNVFNdQGToPBgISEBJSUlCyzVZHbLFKKWEcucpxbOs8HECxQTCYTpqeN+MY3EvH888J7dvPNJnz72xQoSi2e/0wjF7mnUL7zzjs477zzxP/fcsstAIBrr70Wjz32GL7xjW/AbrfjxhtvFJsoX3755YjnyaxpcrFarWhoaIBGo0FdXR1cLtcy6SNFAfv2CRMm/UGvF6ISEqGQovTsrA4ZGQxMJjUMBsGrzB+OHs3EzIwLkrSlB6QWMJGApmnMzc2hs7MTGzZsQElJScgPty/rfuJU4A1SInK73eB54T+kbmIwCKkf8rpcLjcA/53vDseSO0IIrjfitQZShK0GAjVwEpkzqallZWWJDYhSC/yuri7RAt/XuOJwEMuCfrSILTExEWp1Ir797fV4/nkNKIrHN785gkOHunD8uF2s1TgcjpgPKlOpVLJeg9yRy7nnnhvwHqEoCocPH8bhw4dlOycQJ+QSzgdDlFGFhYWoqqoSF2+iApIe84MfDEwuxOrFbhd241NTS3UXs9kzNeYPbjeFBx5Q4c47/dvuRxq5cBwHq9UKh8OB3bt3h60iIe+N9IYbGvL8DEj6j+c5ACoYDIDJRBZW4fe0WuH/BoOwq0xIoGE2+z8vTYfXQBmMImy1ISUahmHQ1dUFi8WC8vLyZVENaeAsKysTB1EZjUY0NTWBoiiPqCYcwUesC/rRiBwsFuATn9Dj1VfV0Gh4PPywA1dckQ5gv0etxmQyiWk5uaaYhoJojThe61MogTghl1DA8zx6e3sxODiILVu2oKCgQPweuam81RtXXsnhllv4FUf8siyFtDT+XTdl4WsUJaijghmudd99KnzucyyKipZ/L9K0mNvtRmNjI1wuF0pKSiKSJ0p33+R9amjwJhchPchxbgAqJCQIi55avTyVtrSuBS5qulwOTE2RnX1w5BKuImy1wDAMWlpa4HA4xOsLJHWmaRo5OTnIy8sDx3GiLc3w8DA6OjqQkpIiEk2wtutnQlpMCqMR+MhHEvHOOyoYDDx+/3u7h1eYXq9HUVERioqK0N3dDafTCbVajf7+frS1tYX1HoYLuZVigJAWW+tTKIE1Ri4ulwvNzc2w2WzYv3//MnaXdmNLP/DUVODSS7mgDBpJhGK1Amo1B5eLftcFeGWLE5uNwre+pcbvfre82SMSciETHA0GA7KzsyPemXlHLvPzwKlT3jp34W8iMybPZ3ExLzZDCiqxpYK+ViuoxvyBZRl0d9Pv/nsAs7OJAXsdiCJMr9dHpAiLFogRqUqlQk1NjRh1+BMFELKRKqySkpKQnJyMiooKOJ1OjwZOaR0i0I78TIpcxsYoXHaZHl1dKqSn8/jLX2zYs8f/c8PzPBITE1FRUSHO+yGRofQ9JE7EkbYCeEPuEcfA6qrFoom4eFqDeTAWFxfFzvPa2lqfNwm5yX3VNj75yeDcf0mEwjCU2DBIOvKDmcL49NMqfPCDHD76Uc8HItA0ykCQTnCsrKxEe3t7xOk1b+v+p5+mPebe0DQvkgv5WSI7Tk/nMTBAQ63mfc7KIb/va5BYYmISjEbhMygvd6KjYwgulwsZGRnIzs5GVlaWGJlEUxEmB0i9LzU1FVu2bPF7fcE2cFIUBZVKhby8PBQUFHg0cJIduXenu/S5ORMil+5uGpdfrsfICI3CQg7PPGPHxo2B73Xvgr5er0dhYaHYBEvmqwwODqK9vV2MajIyMmQxLJU7LUZS30rkskoYGxtDe3s7ysvLUV5e7veGIA+or0X8vPN4FBbyHhYkK8GfHcpKuOkmNXbtcmP9+qXUT6iRC8/zGBwcRG9vr0f6Tw7VmXToGMcBv/qVJ+mqVDzcbhq5uTymp8n1kGhF+P+GDTz6+oSvEZ4nZOxvQiXxFMvP57BnTyV4fj2sVitmZmYwMTEhznvX6/WYnZ3F+vXrUVpaGtFrjQbm5+fR2NiIwsLCgE4IvhBuA6e/nhCSHl3rkcvRoyp86lN6zM9TqKxk8eyzdhQXr5w6DaQWk85XWb9+PRwOx7KohtS7wo1q5E6L2Ww28Dyv1FyiDamNi3djoj/4IxeVCvjyl1l885vRf8lmM4UPfUiDo0ddIKKmUEiBZVm0tbXBaDRi7969HiOg5VSd8TyPJ56g0dnp+XASIhGiExrl5dyygn9KCg+rlfaw3F9pjSHF/qqqJYt44rZLit1dXV2YmpoCTdMYGBiA2WwW3XblTmmEg+npabS2tqKysjLiLupQGji1Wi0KCgpQVFTk0RNCag4URWF0dHTZrJVoQ46U3KOPanDLLTqwLIV9+1j88Y/2oGtyoUiRExISUFBQIEaGCwsLMJlMGBoa8pgaGcoYBrkjF2JQqaTFZIKvD9HhcKCxsVG0cQnWuM3bGVmKG25g8f/+nyqk6CVc9PdTuPxyDf75TzfS04MnBYfDgYaGBgBAXV3dsp4Imqbhdkfu/kpRFMbGgNtu87wFaJp/NyXIi64FycnC61m3jsPwMP3uzwnfW7+eQ329sDgu1Wl4D/82AvK+7969nGQ5jkNvby/m5uawd+9eJCUlYWFhAbOzs+jr60NLSwvS0tLE9FkwViFyY3h4GL29vVGTQofSwEnGEVdWVmJsbAyDg4OYmZnxmLWy0gRJORBJWoxlgW9/W4df/UqQr191lRu//KUDoWg2wu1zkUY13vUuMoZBGtX4Gy4nd83FarVCrVbL3gsVC8QFuXjDZDKhsbERWVlZoo1LsAhU20hIAL79bQZf+MLq7IBPn6Zx4YUa/OMf7qCkyPPz82hoaBBftz+/JjmaMRlGjeuvT1rWXEoIIjeXx9gYDYNhKTIpKOBx4gSNjAwe8/MkuhG+t349h/7+wIsMIZzaWs/PR6oI27t3r1h3IQ8/SQvNzs5iZmYGvb290Ol0ItGkp6dHdQHleR49PT0YHx/Hrl27VsVHLJQGTo1GA41Gg+rqatGVeHZ2VpwgGe0GznDee7MZ+Mxn9HjpJeEG+va3nfj6110hm5nKFTnodDqPqGZxcRFGoxHDw8NirYa8j9LeJLnTYhaLBQaDIe5qjOEgbsiFLJpDQ0Po6elBVVVVWB3YKy3in/wkh5//nBNVS9FGSwuNgwe1OHLEEHCmN6krVVZWorS0NKCjcaTk4nQCd99djbffXr4b43lhnDERMZSX82hpoZGQwIvu0Js3czh+XAWNZilCUamEWgtN+45apNi3b+n6g1WE6fV6FBcXi1YhxGm3ra0NDMMgMzNT9K2ScwHlOA6tra1YXFzEnj17YpauCNTAaTabQdO0OKsmMzNTdCW2WCwwGo2YmJhAV1cXDAaDRwNnpItYOJHL8DCFq67So61NhYQEHr/+tQOXXx7e9Mho9NnQNI20tDSkpaWJUQ2p1YyOjopRTUZGhviey4UzRSkGxBG5MAyD1tZWmEwm1NTUeFhOh4JAaTFA2GnfeSeLj31s9XYGQ0MUPvOZjbjttjF84xueVis8z6Orqwujo6Oorq5G1gqt66GOOfaG0Qh87GM0Tp7073ialCT4gGVmCh5rALBrF4cTJ1QeA8Fqaji89RbZYQtf0+l8z7ch2LyZAxmqF64iTKVSeYzgtVgsmJmZwdjYmMcI4+zs7IgUQW63G01NTWBZFnv37vWbGlltEKLheR59fX0YHx/Htm3bxK9Jo5rExEQYDAasW7cObrdbTP20tLSA53mPqCac1xdqzeXtt2lcfbUeMzM0cnM5/PGPdtTUhL9ZWg37F51Oh/z8fOTn54tkTojGbDZDo9FAq9UiIyMjYsJWyEVm8DyPt956CyqVymedIRQEI/m99FIOl1/O4pln5NWnB4LTSeO73y3GyZMs7ruPQWHh0uJlt9v9Gl56I5LI5dVXKVx/vQrj4/5fd3o6j+lpYbHIy+PR1kYjK4sXDScPHOBw4sRS3YXjKGzcyKGrS/h+QkJgcrnkEuGzkXqElZSUhPV6gKVhX8nJyeIIY5I+Gx4eBk3TYvoslO5taURVXV0tey9DpOB5XnQt2LNnjyhdDbaBk+d5MfUzOjq6rIEzWFIOJXL44x/V+PKXE+B0Uti2jcVTT9lRVBSZdc1qe4sRFV9qairKy8tF7zi73b6MsDMyMkJeywi5xHr4mxyIC3KhKApbtmxBcnJyxDdKMORCUcAvf8ngxAkaU1Or+yG+8IIK27fT+PKX7airexsZGQnYv39/0EqocMilp4fCnXeq8PTTgRfIhAReVHRt2MChvV14b6qqOLzxhgrJyTysVsHJYOdODo2NpAdG+FpCAo+5ucDv54c+xGBgYAADAwPYtm1bUArAUEBUVdJeEVLottvtopMxEQX4ApnmmZWVhY0bN8Zd/pvjOLS0tMBisWDPnj0e6rBQpM6kgbO8vNwj9TM8PCzKdFci5WDSYi4XcOutOjzyiBAZfeADbjzyiANytHLIrdYKBykpKVi3bp0HYZMo2ttHbqVrtVgsZ0SPCxAn5AIIxVs5CtXBNitmZvL4zneGcNNN6yI+Z6iwWin88IeJyMo6G//3f0BlJYdgVbbBkovbDbz2GoXf/laF556j/faeLB2Xh9Mp1Fzy8jiMjVHgeQq7drF45x3hgaip4fDaayqo1TwMBkGKXF7OYXhYOLZOF3ieS0kJB42mFSMjxlXxCCO2+BkZGaiqqoLVahWjmu7ubiQmJorpM2KLbzQa0dzcjHXr1mHdunVxt4NkGEZUUe7ZsydgKisUqbNarUZubq6Y+iHNhwMDA2hra/MY6iXdWa8UuYyNUfjkJ/V45x3hGr75TSduvdUFuQLBWLsiSwv6FEV5RDVSHzkS1RCVnz9xhc1mi9pI49VG3JCLXAiGXBiGQXNzM9avN+O663Lx2GOr1xcgxeysBrffDtx9N4+PfpTDtdeyqKnhAypm/JGLxSIMLWtooPD66zT+8x864JgBbxDySUtjYTbTsFoplJUJ0mOnk8KOHRyamoSHuLaWw/Hjwr9TUgSZcmbmkqrMHw4eHIXFYvZQhK0myFTE0tJSMAwjigKam5vBcRwSExNhNptFt+l4g9PpRENDA7RaLXbu3BmyHU4oUmeySJLmQ1KrGRgYgEajEUc9Mwzjl4CPHVPh059OwOwsjbQ0Hg89ZMdFF0XeoyVFtIwzg0WgyEmr1SIvL09MQ3q7YxsMBjGFRjY30YxcDh8+jO9973seX8vNzcXk5GRUzhc35CLXDnGlgr7FYhEnGNbW1mLPHhotLRxOn47dDbq4SOGRR1R45BEVSkp4fOhDLM4/n0dtLQfSP3nrrSr8/vcqJCcXQKtNR2qqBhwnSDpnZ5eGcEWCpCQGVisFt5tCVpYLViuN2Vk1ios5mM2AyUShvFyQHPM8he3bObS0kKhF6Or3B5rmcPnlU6ipqYkLjzCyU8/NzQXHcejqEqaIJiQkoLu7G1NTU2L6LNrmh8HAZrOhvr5+RbuZYBGq1Dk/Px+FhYUeDZwk1ajVajEyMiLa0vA88ItfaHH4sBYcR2H7dha/+50dZWXyjwaIdeQSbJ8LRVFISUlBSkoKysrK4Ha7PWb+TE5O4rHHHkNubm5U63tbtmzBv//9b/H/0TxX7J9ymaFWq+EkQ++9QGz6i4uLsWHDhnc7n4G//c2Nc87RLutCjwWGhyncd58a990nGGVWVfHYupXHX/4i3ASzsxpIp0DKhYQEHlarCjxPITubBctSmJ1VIzXVCYpi0d+fiLQ0DgYD0N9PIyeHx9ycUGvJz+cwPh74AT/vvAVccMGmmOfHvUFcIGZnZ7Fv3z4kJyfD4XBgdnYWs7OzotUKIZqMjIxVL+6bzWbU19cjLy9PvG/lRiCps78GTgDo7OwU5c69vb1gWQN++ctdeO01wb7kmmvc+PnPHYiWaUCsySXcPheNRiNubojVU0NDA1588UWxUfeiiy7CxRdfjEOHDsn2mavVauTl5clyrBXPtSpnWUX4SosRyebAwAC2bt2KfK+JXrm5wN//7sa552rE5sB4AM9T6Oyk0NkZ/XORcQS5uTxsNhpmswqZmTzS0tTo69NBp2ORlbWIlpZ0aDQc0tNZdHVpYDDwsNlWfs9uv10Pmo68piYnWJZFc3Mz7Ha7R6ouISFBtHRnWVZsSuzs7PRrtBktmEwmNDU1rWoNyJtoAPiNalQqFZKSkrBx40Y0NvK49toEDAxooVZz+NznWnH11WaYTEKNQe73ilxPrCOXSM9PURTKysrwgx/8AGazGe9///tx8OBBvPDCC7jzzjvxvve9T6arBXp6elBQUACdTod9+/bhyJEjKC8vl+34UsQNuciZFpOSC6mvmM1m7Nu3z28ReeNGHn/+sxuXXKJZsQnwTIRKxSM9HZieFkgtJ4eHVsujr09odNu0CWhoEHqPKirs6Ow0gKJ46PVuzM4G7o+49FLGo3EyHuByudDQ0ACVSoU9e/b4VeupVCoxapGKAojRJhmDkJWVhdTUVFkX/6mpKbS2tmLjxo0oLCyU7bihgCycvqIahmGwuLiIpKRk3HcfjcOHE+FyUSgq4vDEEzZs3JgNo5HG1NSUKKAgxWxSY4gEUuVbrBAN+5eysjJ8+MMfxoc//GHZjgsA+/btwxNPPIENGzZgamoKd911F+rq6tDW1hbRfCh/iBtykQtSciG26DqdDrW1tSs2iZ1zDo8//YnB1Ver4XS+dwiGpnmo1UtTIouLOSwuUpieppGUxKO4mEdDg/AAbd/OoblZ6MfJy+MwMRH4PVWredx5Z+ReaHKC3BcpKSnYunVr0IuT1GiTNCWS9FljYyMAiEQU7lRJgtHRUXR3d2Pbtm0xGensDySqYVkWLS0tMJlUOHJkK155RVA+XXSRC7/4hQVZWQBNC64KpaWlHjWG1tZW2Ro4yTXFCtFwRY5WE+XFF18s/nvbtm2ora1FRUUFHn/8cdxyyy2yn++MJRcyB6WoqCik7u8PfIDDc8+5ceWVGlgs7w2C4TgKTqdQd0lOBkZGhPcqK0uIXjo6aNA0j8pKHs3Nwveys3lMTKz8UF17rQXl5RSA+Ki1RGKX7w1S6Cby3cXFRczMzGBgYACtra1IS0sTpc7BGm3yPI+BgQEMDQ2huro6bKeKaIJMRX3nnTTcc882TE3R0Ol4HDniwmc+4wBA+6zVZGdnizUGopySuipI+0GCea/iJXKR2/5ltfpcDAYDtm3bhp6enqgcP27IRa50Ak3TsNvtaGxsXDYGOVgcPMjjxRfd+NCHNCHJedcyEhJ4sCwwM7M0c2VxkcLsrOArlp3No6tLeIgyMngYjSsfs6zMjksuOYFjxxhxR5+VlRUz63xilx+pK4AvSP2opEabxNU5GKNNYgU0NSWo6uJxpofL5cLbbzfgiScq8eSTheB5Cps2cXjsMSe2buVBxCYrNXAaDAaPUQtE6ky8u6QTOP3dLyzLgqKomM6ykTtyWU1ycTqd6OjowNlnnx2V48cNucgBhmHQ398Pt9uNurq6iJr0amp4/Oc/brz//Symp2PTB7OaIAX9xEQeGg0wMSEsfklJPHS6pWgmJYUPinA1Gh5/+AOwfftZonX+4OCgOFGRLLSr5aM0MjKCnp6eqNnle8PbaNNkMmFmZsav0SYxyDSbhT6g1ZzJEiwcDgf++c8O/OhHe9DRISyA11/vxg9/6IZ3318oDZwqlcqjgZN0uZM5K1JbGqksPB6UYoC8ct5oeot97Wtfwwc/+EGUlJRgenoad911FxYXF3HttddG5XxnDLmQPgCapqFSqWTp/t60icevfvUW7rtvP44dW/2mv9WGVis4H9tsFCiKR1KS0HFP0oN6PY/FxeB2iUeOuLFjBw+AEnf069ev97DOJ7NHCNFEY/YIz/Po7e3F2NjYqtnle0OlUiE7O9vDqVhqtJmUlCQ2I9bU1MTlLA+r1YY775zGb36zH3a7MN/+V79y4dJLg2uKDKWBk/SDVFRUeDRwDg0NQa1Wi0SjVqtjnhIj1ywHeJ6H1WqNWsQ6OjqKq6++GrOzs8jOzsb+/ftx8uTJqE17pfhILHZlBMdxYQ/BmpmZQXNzMwoKClBcXIw33ngD73//+2W5rjfeeAPl5ZV4+OF8HDlyxnDxivA38CsYfOlLbvzoRyt/ltIu+ZmZGfA8L9YoIi2IA8I91dbWhoWFBVRXV8el2yxp6iWLLFGnkemb8dBw2tFhxfXXU2hsFBy7zz6bxcMPu4IaQxwMvKMasiRRFAWapsW/iVccIRv7uw6pFRUVYgPnaqbIHA4HTpw4gfPOO0+W8/I8j/Xr1+O5557D/v37ZbjC2CL2d+67COfDIcXPvr4+bN68GYWFhXA4HGLYLceOQgh5WXznOyz27uXxv/+rlqUbPt4RLrFcdRWDI0eC2yRIu+R5nhfTZ9KCeLjps3i1y5fCbrejqakJqamp2Lp1KwCEZbQZLfA88NBDLnz722mw2TTQ6wXl3+c/z6w40joUhNLAmZaWhoyMDFRWVmJiYgK9vb0wmUweza5kAme0m13JZkBOQlvNmku0ETfkEirI/Jf5+XmPOfPkhpJLxSGVNl90EYfGRhe+8hUef/vbmZ8mCxWXXsrgwQddYS08FLU8fTYzM4PZ2VmP9JnUZNIfyKjohISEuLTLB5a67nNzc1FVVSUuUFKjTZvN5tNoM1opRCkmJoDPf57Cv/+dBgDYu5fFQw+5UFkZ3USHr/QZIRpfDZzEZ400uxqNRnR1dcHlcnmYREajhiW3UozjONhsNoVcYgmbzYaGhgao1WrU1tZ65Kil5CKHKsnbKJJhJvDpT7figgt24Ac/KMLo6JkfxQSDz3zGjZ//3A25sjh6vR4lJSUoKSnxSJ81NTUFTJ/Fu10+AMzNzaGxsRGlpaUoKyvzu/NNTEz0+R60tLSA4zhx4mS4fSK+wPPA00+rcPPNaiwsCNNGv/MdN77yFUY2J+Ng4U8UQAjHewInifJ4nofNZoPRaMT09DR6enpkb+Ak1yN3MR9AXKoEw0HckEuwoSVZYPLz830uHiRHG4ztfjAgkQuZoz48PIwdO3bgggty8OEPu/CDH6hw//2q92RXPyA0Sf7oR0KqJFrpbl/pM+9+kuzsbKjVanR3d8etXT6wJIfesGEDioqKgv497/dgcXERs7OzGBoaQltbG1JSUsQUYrhGm8PDFG6+WYuXXhIWzK1bnfjtbzls2RIXZVmPqGZ4eBijo6NiE6x3VEMsfAgxS00iWZb1aOAMV0ARjR4XAGdM5BI3BX1A0ND7uxxi7tbb24tNmzYFfDD/85//YM+ePbIoxpqbm5GQkACLxQKLxYJdu3Yt+/CHhoDvf1+NP/yBBs/H34IWLaxbx+Gxx1zYsyd21i4kfTY2NgaLxQKtVov8/Pyg0merjbGxMXR2dmLr1q3IzfU/ZjpUSI02TSaTaIkfrNEmywIPPKDGnXdqYLVSUKtZfOUrFtxxhyboOUOrieHhYfT19aG6ulpU/3lHNVJRABEEEBKyWCyYnZ2F0WiE2WyGwWAQpeHBNnACgpBocHAQe/bskeV19fb2Yv/+/bDb7XF134aLuIlcAoFlWbS2tsJkMnnUV/wh2IFhwYDneYyMjCAlJQX79+/3mX4oLQUeeYTBzTdTOHxYhX/+M/5y/HKConh8/vMMvvtdN2IdwSckJIBlWTgcDuzYsQM8z4vuDAA8Ukexat4kG6PBwUFUV1cjIyND1uNLjTY5jsPc3BxmZmbQ1dUFp9Mppouys7OXmUc2N1O46SYt6uuFe3bLFiPuv59FTU187p4HBwcxMDCAXbt2eawDoUzgTExMFFOS0oFe0nuGNHAGSjfK7StmsVjOmBHHwBogF2l9pa6uLqgQVi5yMRqNmJqagsFgwO7du1fcTQjW+Ay6u1n88pcq/P73NOz2M+NGIThwgMWPfuTGrl2xN6Ikc1hmZmY8Otr9pc/S09M97FhWAzzPo7u7G5OTk6vSdU/TtLg4kr6J2dlZTE1NiQOqsrOzYTBk4f77s/CLX2jAshSSklhcd107brstB6mp8Znz7+/vx/Dw8IrvY6gNnDk5OeJAL9LAOTIy4mFL4yvdGI202JkyhRKIc3IxGo1obGz0W1/xh0jJhed5DA8Po7u7W8zJhnITbdjA45e/ZPDd7wKPPKLCY4+pMDi4tkmmpobFrbe6cdFFXNRqK6FAapfvPUce8FSfETuWmZkZUebra8Sx3JD22ezZs2fVFw5fRptGoxHPPMPgnnvSMDUl7MoPHpzF5z7Xggsu2BqXvUBkZMbY2BhqampCrkmE0sCZnJwsjil2Op1iT83w8DBUKpVHVBMt65czJXKJq5qL2+0WP/yhoSH09PSsWF/xhbfeegvFxcVh+YpxHIf29nZMT0+juroaJpMJVqsV27dvD/lYBDwPnDhB4ac/ncbx4wVYXFwb+VSa5nHJJSxuuIHBwYPxQSqAp13+jh07Qk53EeUVkToD8rkZS8/R3NwMl8uF6urquOi67++n8PWva/Hii8KCmJfH4AtfaMPOnUMAEJbRZrRBhDSTk5PYvXu37OQXSgPnwsKCSDY2mw06nQ5qtRpbtmyR5f165pln8Itf/AKnT5+W46XFHHEXubAsi7a2NhiNRuzZsycsu46VRh37g9PpRGNjI1iWRW1tLfR6PRYWFiJOsVEUcOAAD6Ab997Lo6UlDy+8QOOFF2iMjcX+AfZGRYUVn/qUCldfzaOwMG72HgCWbH5CtcuXwp/6rL+/X5b0mZT84mGss90O/PSnGvzsZ8IoCY2Gxxe/6MIHPtAAirJi166zwXHcMqNN8h74M9qMNoiRJ0l7RiPyC6WBMzU1Fenp6WIfVldXF6xWK06dOgWtVitGNenp6WFFNGdSAyUQZ+Rit9tx+vRp0DSN2trasCfXhZMWW1xcRH19PdLS0rBt2zbx5iCzK+QATdPQajn8z/8If5xOF/761x6cPJmC0dESvP22RpypsppITORRXW3Hxo0DOHTIiqyseTidTszMZALIFs0VYw1il19QUIDKykpZdtbBpM+kw8BWWmTtdjvq6+uRlJSErVu3xrSBk+eB559X4etf12BoSLju885j8eMf22G3N4BlWVRX14iRmrfR5uzsrF+jzehfO4+Ojg6YTCbU1NSsipFnKA2cWq0WiYmJMBgMKC8vF21puru74XK5kJaWJpJNsKSo1FyiiM7OTqSmpmLTpshmrYdKLpOTk2hpaUF5eTnKy8s9Fi2VSuXRRBkJpERlsVhQX1+PTZuS8ZGP5IGmGbCsC729FE6fVqOjg0ZHB432dkpcGOSAXs9j/XoeO3Zw2LmTw65dLNLT+zE6OoBt27YhO7tMLARLzRVJH4VQDF59RUs07fKl8NW8KVWfBUqfkc80OzsbGzdujGlaqaWFwq23anH0qEBuhYUc7r7bjf/5HwcaG4WoateuXT6jKqnR5saNG0XprnT2CnkfQpHuBgue58VaVU1NTdRHSfvCSg2cLMvC6XQiISEBPM+LbgCVlZViA+fs7Cx6e3uh1+tFognkrKBELlHEjh07ZDlOsORCHHMHBwexfft2n70HcsqaCVGRyYUlJSVYv369uDuiKKCqikJVFQtg6ZwOBzA+TmF0lMLICIWZGQqLixQWF4GFBQput7BL5TiApoHERMBg4GEwALm5PHJyeOTl8Sgv55Gfz4u1E47j0NHRgclJIQVJFDjSQnBZWdm7UcyMmDois0mys7OjbkMCrL5dPkEw6TMS1ZBUWElJybINympiagr4/ve1ePxxFTiOglbL40tfYvDNb7qhVjtx+nQ99Hq9R3QeCBRFITk5GcnJyaJ0l6TPhoeHQdO0rEabZPSAxWKJK4do76hmeHgYJpMJ27dvXyZ19m7gJLY0HR0dYBjGw5ZGSpwWi0Uhl2hBroU8mOMwDIOWlhYsLi5i//79fqWNcpILTdPig7llyxbk5+eLu6FAQ48SEoDycoEc5AIxdmQYBnv37g24O9TpdGIfBcuy4m6e2JAQoiE26HIhHuzyCbzTZ96+X2Rsr9w9LMHC4QDuu0+Nn/xEA7NZuI+uuILB97/vxrp1POx2O06dOo20tDRs3rw57A2BVqtFQUEBCgoKRJdiskO32WwehBtqiofjOLS0tMBms6GmpiYuzUYBwbp+YGAAu3fvRmpq6rKoRip1JtJwMm6BSMMnJyfR3d0Ng8EAnU6HycnJqM5yIbj//vtxzz33YGJiAlu2bMG9994btWFhcaUWY1k2rEK8N3p6euBwOLBt2zaf3ye9MxqNBjt37gx4ExPLiHPOOSeia+I4DsePH4fT6URNTQ3S0tJElQpRpawWbDYbGhsbxR1suIQg3c3PzMzAZrMhIyNDJJtI0hlrwS4fAMbHx9He3o7i4mK43W4P9Vk0CNcbLAs89ZQK3/++BsPDAmHs2sXi7rvdqKsTFjmr1YrTp08jJyfHwyRTbkgJd25uLiSjTSItdzqd2LVrV9wSC3EH8G7iJPCWOkuXV2n0Q9M03G43TCYTjh07hq9+9atgGAbFxcX41re+hYsuukj2KP2pp57CJz/5Sdx///04cOAAfv3rX+ORRx5Be3t7VFLNZyS5DAwMYGFhATt37lz2PZPJhIaGhqB7Z+bn59HQ0IDzzjsv7OshM8cXFhZQWFiIqqoqcYez2sRCiuL5+fnYsGGDrOe22Wwi0czPzyMpKUkkmuTk5KDPJY2q4kXG6wukW3zHjh1ixOKLcCPZzfsDzwMvvUTjO9/Roq1NuIcLCjjceacbV13Fis7URKhSVFSEioqKVbvXiJ8XkXsTo01CNlLyYFnW4/OOlZPCSliJWHwhWKkzy7L41Kc+BbPZLG4GLr30Uvztb3+T7fr37duHXbt24YEHHhC/tmnTJlx22WX44Q9/KNt5COIqLSYX/KWyhoeH0dXVhY0bN6K4uDiiYwULcqMYDAbk5OR4FPVXm1gmJyfR1taGDRs2BP36QwGx1SgtLRV38TMzM+IEQUI0GRkZfkldape/c+fOmMt4fYH0XkxMTGD37t0eHnYrpc+I+ow0b4bz+b/9No077tDg+HGhZpKayuOWW9y48UbGY9wwcV8uKyvDunXrIn3ZIUGtViMnJwc5OTkeRpsjIyPi6GIic+7p6QEAvwKDeMDIyIjoZxYssQChSZ1dLhc+9KEP4f/+7/8wNTWF/v5+2a7f5XLh9OnTuPXWWz2+fuGFF+LEiROynUeKuPok5VpovQlhqXAtNGKFkhf3ttwPBcRhoKioCJWVlejs7MT09DR0Oh1ycnJWbUdOhqoR4UJ2dnbUz6nRaJCfny/ORSd+Vx0dHXC73WIeWrqLXQt2+aTJdn5+Pqiue6ltPkmDzMzMoLGxEUBo6bOmJgo/+IEG//qX8HM6HY8vfIHBV7/qhvctPTs7i+bm5pDdl6MBiqKQmpqK1NRUVFRUwOl0YnZ2FtPT0+jt7QVN08jPz8fc3FxQRpurjZGREfT29noYZYYDb6IBIEY1VqsVJ0+eRFlZGQCIQhK5MDs7C5Zllx0zNzcXk5OTsp1HirgiF7kgJReXy4XGxka43W7U1taGnJYgCi9SdA8WJEratGkTCgsLwbIsSkpKoNVqMTExga6uLnH3lpOTE7WaAiFW0pQai1kRUr+rqqoqWCwWTE9PY3h4GO3t7UhLS4PBYMDExATWrVsXcMZJLEHSN06nE3v27Al5c6DRaDzUZ6QY3tfXh5aWFjF9lp2d7dHX0dZG4cgRDZ59VnhcaZrHJz/J4vbb3T6bXKemptDa2orNmzcjPz8/shcdBZDN1ejoKDIyMlBSUiIO+ZIabWZlZa1Kf0sgyEUs3pDWXux2Oz71qU9h3bp1+NrXvibbOXzB+7kKdV0LBWc0uZBpfykpKWGH3OQmYFk2qN8nZorj4+PLCvcJCQkoKyvzKe9NSEhATk5OROkSb4SiCFstSKWtFRUVcDgc6O3txejoKCiKwuTkJFiWlfV9kANkk0LTNGpqaiKuC1AUhfT0dKSnp/tNn1ksRXjssRI891wCeJ4CRfH48IdZ3HabGxs2+C6Vjo2Noaura9Ui1HDgcrlQX1+PhIQEbN++HTRNi2oqUreTGm1KPeBW834YHR1FT09PVJWKDocD11xzDWw2G44dOxZSyi0UZGVlQaVSLYtSpqenZY2QpIirgj7P83C5XBEfx2QyiTYuZWVlERUyWZbFK6+8gkOHDq2oYCGLucPhwK5du5CQkBBU4V7arDczMyM+bKQ+EU6agCjiDAZD0D0Nqw1iRU+K4qmpqcs8v6Qy51i9BofDgfr6ehgMhlXpum9oYHHkCIUXXjCI84EOHTLh61+3oa4uxe8mZ3h4GL29vdi5c2fMJNErwel0or6+HomJidi2bVvA1Ccx2iTyfUB+Dzh/GB0dRXd3d1SJxeVy4ROf+AQmJibw73//G+np6VE5D8G+ffuwe/du3H///eLXNm/ejEsvvTQqBf0zjlx4nkd7eztGRkawc+dO5OXlRXy8l156CQcPHgwYottsNpw+fRqJiYnibkyqdw+W3EjvwMzMDKanpz3qE9nZ2UE9UNFUhMkFnufFGtSuXbuWpeuIUSB5H0i6hLwPq1WvIl33WVlZ2LRpU1Tfy9Onadx9t1qsqQDAJZcw+NKXTMjNnVimPiPpM57n0d/fj5GRkZALzqsJQtLJycnYsmVLSDU1osIj0Z3VahWNNrOysmR1jSDEUl1dHbUF3+1249prr8XAwABeffVVZGZmRuU8UhAp8oMPPoja2lo89NBDePjhh9HW1obS0lLZz3dGkQvDMGhtbcXc3BzcbjcuvPBCWa7rlVdeQW1trd/uWSJvLigoEGXG5G2NpChNpuZNT09jZmYGFosFaWlpYvrMF9lFWxEmB1iWFZvlqqurV8yrS9MlMzMzWFhYQHJyske9KhqLPiHpaMp4eR74979p/OIXGrz2mhARURSPK69k8bWvubFtm+fjSd6H2dlZsZdEpVKJjYfxOn/d4XDgnXfeQXp6OjZv3hzxe2m32z2mb8pltLkaxMIwDK6//nq0tbXhtddeW1XXifvvvx8//vGPMTExga1bt+LnP/95xD18/nDGkAsxDFSr1di4cSPefPNNvP/975dlQQg0Nnl0dBQdHR3YuHGjOAmQDBGSezGSmirOzc159JEkJSWJ0w63b9+OrKwsWc8tF0jtgqIo7Ny5M6zUhsvlEt8Ho9EYFTsaoraKlpeZywU8/bQKv/iFRuxTUal4XHWVQCpVVSs/liQNu7CwIN5vq9W8GQrsdjveeecdZGZmRiX6kxptzs7Owu12i1FuKEabq0EsLMviC1/4At555x0cPXo04sxKPCOuyAUQcrKhYm5uDg0NDcjNzcWmTZvAMAxeffVVnH/++bI8YEePHsWOHTs8bjhiBz42NibmuFez417aR0Ly0QCwYcMGFBQUxKWMV2qXv2XLFllqF2RhIWTDcZzHAhsOeU1MTKC9vR1btmyR/eFfWAB+8xs17r9fjYkJ4TMyGHhcdx2Dm25iUFoa3OMo9eAiHe0kjTg7O+szfRYLkD6v3NzcVUnRkmifPBuLi4viJiyQ0SYRQkSbWL785S/j+PHjeO2112IuEY824o5cXC4XQrmkkZERdHZ2oqqqStxhkiL8eeedJ0tu/vXXX8fmzZvFaIBhGDQ1NcFms2HXrl3Q6/Ux67gn3f9OpxOpqakwmUxR9fsKFwsLC2LqUC67fG+QZj1CNFarNeQFdmhoCH19fdixY4esefDRUQr33afGY4+pRe+vvDwOX/gCg//9XwahrGdEEu1yufxapfhKn0XavBkqLBYLTp8+jYKCAqxfvz4mtT+XyyWKRIxGo2i0SUQBarVaJJZoCiE4jsMtt9yCV155BUePHo1KjSPesGbJheM4dHZ2YmJiAjt37vRYCEgR/pxzzpHFbuONN95AZWUlcnJyxN23TqfDjh07oFarxZ6aUAr3csCXIszbfsRut8ekEC7Fatnle8M7jUjmx2dnZy/bwZKu+/HxcdmK4jwPHD1K46GH1PjXv1RgWeF8mzZx+PKXBZuWUD8OspkAEHRakaiuCNmsRvrMbDbj9OnTq247EwhSo00S3SUmJsJms2Hz5s1hTa4N9rzf+ta38Pe//x2vvfYaKioqonKeeMOaJBeStyc7N18E8sorrwR0Ow4FJ0+eRGlpKRISElBfX4/8/HxUVVUt8wqKR48wMpdlenoai4uLq9K4KQWxy9+yZUvU9PTBQJpGNBqNUKlU4gKblpaG7u5umEwm7Nq1K+L3ZXERePJJNR5+WI3OzqX05DnnsLj5ZjcuvDC8kdGkP0Sr1WLHjh1hpRWlKjyywJKmRbnSZ8TPjIwfiFcMDg6it7cXycnJMJvN0Ov1YvpMrtodx3H4zne+gz/96U84evQoNmzYIMOVrw3EHbm43e6AdivEIiQpKQnbt2/3u+t67bXXZOuqPXXqFBISEjA5OYmqqioUFxdHtXC/EiYmJtDR0YHKysqQFGHSxk2TyRSVxk0CqV3+zp07Y2qX7w2pHc3MzAwcDgdUKhUqKiqQn58ftiNvWxuFhx9W449/VMNiEd7LpCQe11zD4LOfZbB5c/iPGpHxkgmXctXUvM1GI21aXFhYQH19fUz8zELB+Pg4Ojs7xVRYKEabwYLnedx111347W9/i9deew2bN2+OwiuJX6wpcpmenkZTUxPWrVu3Yg739ddfx5YtWyLOm/M8j9dff120As/MzIyZVT7xCBsaGsK2bdsiUoRFo3GTgPhvzc3NyRIJRAtutxsNDQ2iCMBoNMJsNiM1NdVj6mYgLC4Cf/mLCk88ocapU0vvWVUVh899jsE11zDwITIMCaSHKiMjQxYZrz9Emj4jRpkVFRWrmv4MFd7E4g2e52E2m8X3wWw2IyUlRXwvkpKSVvwMeJ7Hj3/8Y9x///149dVX/Y7/OJOxJsiFNIn19/dj27ZtQSl4pHWScMEwDJqbm2E0GlFSUoLKysqYFe6lC/bOnTtl7Wfw17iZk5ODrKyskBRXbrcbzc3NcLvdcW2XTyIB0ilOyNThcIjpMxLdSQvhNE2D54Hjx2k88YQazzyjgt0u3AdqNY//+R8Wn/scg4MHw0t9eYMUxfPy8la1IVaaPpPW7vylz4grRjwYZQYCIZZQBBvEaHN2dhZGoxFqtdpj+qb3RoznefziF7/AT37yE/z73//Grl27ovFS4h5xTy6k4W5+fh67du3y2WviC6ROEq5xH+mb0Wq10Gg0MBgMYpi/2vWV1Zxv4qtxM1jFFbHL1+l0AVOWsYbVakV9fT0yMjKwadMmvykm6dRNYRebgDffrMQLL+RhaGiJcDdu5PDJTzK4+moGcpaViMKupKQk5maeZIKir/SZ2+1GS0sLNm7cGLWiuBwg6eRIlIAkpUreC+IckZKSApZlUVlZifvvvx9HjhzBSy+9hL1798r8KtYO4o5cGIYR1Vd2ux0NDQ2gaTrkRfXUqVPIz88Paxcl7ZvZuHEjOjo6YDabUVZWtuqW4LH2CPPXuJmTk+ORHpDapMSrXT6wtGAXFhYGJY+dmgL+8Q8hQnn9dRocJ/y8Xu/G+ecb8fGPO3H++cnQ6+U1BSWRwGor7IKBNH02MzMDlmWRlpaGkpKSuJG+e0MOYvGG1Dni9ddfxxe/+EUUFBRgdnYWP/vZz/DZz342Lj39VgtxSy5kgc/JyQlr5nd9fT0yMzND1pOPj4972KeQWQsjIyPig5SVlYWcnJyoP0jx5hFGFFfT09MwGo3QaDTiOOP+/v64tssHhPk6TU1NKy7Yk5PAc88JhHL8+BKhAMDZZ7P45CcZXHDBImy2JTsaf6QbDmZmZtZEJDA1NYWWlhaUlZWBZdll0vd4sMwHokMs3uB5Hg8++CAefvhhlJaW4vTp0+B5HldccQUefvjhqJwz3hGX5DI0NISOjg5s2LABJSUlYT2oTU1NSE5ODloKSfochoeHsWPHDmRlZS0r3JMmPZIyIg8SUVzJOfebdInHq0cY6YwfGhrC3NwcVCqV+D7E4+6VvJ/+ZpxMTFB49lkVnn1WhTfeoEU3YgDYvZvF5ZezuOwyFmVlyx8Xl8vlIXMmpBuOzxW5zq1bt8ZUur0SyHV6W/v7Sp8RoonFCIXVIpYnn3wSt9xyC/7+97/j0KFDYFkWb7/9Nrq6unDddddF5bzxjrgjl56eHvT09CxrjAwVra2t0Ol0qKysXPFnGYZBS0sLFhcXsXv3biQmJgZVuLdarZiensb09DTMZvOKppLBQE5FWDTB8zyGhoZEkYVGo4mrxk0piBW9t+fa2JhAKM88o8LJk56EsmfPEqEEa8kCQIy6yXvBMIxYm1hJHEG8reLZGw5YKoqvdJ0k0iV/fHXHRxOTk5MiAUbr/eR5Hn/5y19w00034S9/+QsuuuiiqJxnLSLuyMVsNoNhmIg76zs6OgAAmzZtCvhzRDWkUqnEjudwOu4dDoeotiK1CTJDPFjX3mgqwuQE8VWbmppCdXX1MpFFrBs3pddJem1I1/3IyBKhvPWWZz58374lQikujvyxkEpapa7WhHSl9ziZa7Nz586oz/WIBIQAQ7VKkXbHr0b6bDWIBQCeffZZfPazn8Wf/vQnfPCDH4zaedYi4o5cWJYFwzARH6e7uxsulwtbt271+zPz8/NoaGhAdna2SELhzGDxhtvtliiMZsWxrjk5OX5TA8TWg2XZuJbwhmqXv5qNm1KQ8c4mkwlZWTV46aVkPPusyqMXBQBqa5cIxdfIYDlBbOLJe0H8vsh7tHv37qDVkLHA8PAw+vr6ZCFAsgGZnZ2VPX22WsTyz3/+E5/+9Kfxu9/9DldccUXUzrNWEXfkwnEc3G53xMfp6+uDxWLBjh07fH5/YmICra2tqKysRElJiZgGoyhKVqUTkbOSOg1pVszJyUFGRgZomo65IixYRGqXH83GTSlYlkVDQyv+9a9kHD9ehRMnlq6TonjU1XG4/HIWl17KoqAgNrc/wzCYnZ1FX18fbDabWKch90W83QMkstq1a5fsw8j8pc/IfRFK+mxqagqtra1i3TRaeOmll/CJT3wCv/3tb3HVVVdF7TxrGWcsuQwODopeUVKQVMnQ0JBYjFytjnuSGiB1GpZlkZKSgoWFBXHQWLwqrQgBkimCkS5+0vdiZmYmosZNKdxuN159tQ3f/Ob/b+/Mo6I40zX+IAouILssKrsbgrK5a5QYEWTpRk00mTguczPOzZjEJI6JycRgXDJoktGYaBJNojNJro42gsEtRnCJW6DZFAERZBW6ZZW1obvr/uGpmqZpkKWqqxq/3zmeExtCfbTV9VR97/M+rw/y8h5vKxoZUZg9+7GgREYq0cvWJ1aht0Bra2vh5+fX7glPoVAw00d7Mo+EKwoKClBcXNyjPrPeotnQW1lZ2aPtM1pYtE0GbJOUlIRly5Zh//79ePnllwX7meWbfisuJSUlqKiowJQpU5jX6C2duro6+Pv7w8zMjNcoFzp1wMTEBEqlkjPnWV+he0O4skT3pXFTE7qJ8+uvJ+DYMSdYWVF47bU2vPwy91tePYE+D5ubm+Hv799OPCiKYraM6HkkdM2KjqPR13lKURTy8/NRWlqKgIAAXmqAnW2faSdb60tYrly5gqVLl2L37t1Ys2YNEZYuEJy49HXUMc2DBw9QXFyM6dOnA9BduOcryoUWluLiYsYRpu08s7CwYOo0fPYK0D0XHh4eeptB0d3GTU3ornsrKyvs2eOHn34ahLVr2/DZZ32/UWETehYQXVt70hMaHT3C5dRNXdBP+A8ePEBAQECnI771SWfbZ4MGDWJaCLgUluvXryMqKgoxMTH4y1/+QoTlCfRbcZHL5cjLy8OsWbOYpFZbW1smmZSNwn1v6I4jjA3nGRvQziA+4/I7a9wcMWIEc3HV7ro/e9YYS5cOhokJhevXWzB+vDBOcToo09jYmJkF1BO6mrppa2vLmrWXdgPK5XIEBAQIMniU3j4rKipiQja5dJ+lpKQgMjISH330EV577TUiLN2g34pLVVUV02l/69YteHp6wsXFBWq1mpnBou+IEtoRplar4evr26299N44z/oKvR1SUlIiKGusrovr8OHDUVtbCzc3N6ZhlqKApUtNcf78AOzZ04rVq1U8r/zxE0hqaiqGDBnCimlDeygcPZelrxdXiqKQnZ2NqqoqBAYGCqLDvjPkcjlu3bqFSZMmYejQocx7UVdX1+VguJ6Snp6OsLAwvP/++3j77beJsHQTwYkL8PiD2FdqamqQkpICAMzjMl/1FeC/BXF6HkdvLi6azjP6bk3bedZXDCUuv7OaFX1BqawcDLkc8PPj//Rubm6GVCqFhYUFJk6cyMlNjfZcFnor0c7ODubm5t063ymKYv7tAwICDEJYfHx8OiSfaw+G03Sf2djY9Oizd/v2bYSGhuLtt9/Gpk2biLD0gH4pLo+tqGmorKzErFmzYGZmxvTO6HsbDHgsdBkZGazOj9flPOtr5hldDxB6XD7QseteV+MmbY7gUyDpWhAd6KmPc0/z4lpZWYmBAwe2s3zrEje1Wo2srCzU19fD398fgwezG8TJJl0Jizaa7jPaiadpFunq98zOzkZoaCj+93//F9HR0URYeoggxaU7o447g95+oHPAFixYAIqieHtioTOYxo0bx9mcC/p3pS+uvck8M5S4fE0HU2cTLrUbN+nxtVw3bmpDz5HvbgIzF2hP3aQt3/T2mYmJCdRqNdMYq+1eExo9ERZdaDrxuto+u3v3LkJDQ7Fq1Srs2LGDCEsv6FfiQs/utrKygqenJ65cuYJ58+bB2NhY708suhxh+qKnzjM6Lt/GxqbL+SZ8Q9cDKisrGSv5k9BX46Y2dPoDnRQtBHRZvi0sLBjrf2BgoKAs8No8fPgQmZmZvRYWbbS3z+7evYuLFy9i9uzZ2L17N5YtW4ZPPvlEsJ8HodNvxEUmkyEzMxPu7u5wc3ODUqnEjRs30NraytQlerrf2ls06xZ+fn682jg7c57R41rpLTtnZ2e4u7sL9g5NpVLh9u3baGxs7PW2DVeNm9rQ0f5jxowRZKI1TWNjIzIyMqBQKKBSqZg4Gn0/4XUHWli4SotWq9VITU3FF198gcTERNTW1iI4OBiRkZEIDw8X9HRNoSJIcdE16rgz6BTh/Px8+Pj4wN7eHmq1GiqVCkZGRkxEvlwuR2trK1OXYNO6qUlraysyMjJ65AjTF9rOs4EDB6K1tRWurq68bdt0B3oSJ/2esnF3zVbjpjZ0M19n0f5CQaVSMc5FPz8/AGCe8CorKwGAeS/0dVPWGVwLC01ZWRmCg4OxYMECrF+/HqdPn8bPP/+M1tZWXL9+nbPj9lcMWlzUajVu377NxLyYm5t36gjTvJjIZDI0NTUxd61sdcQ3NjYiPT29T44wfUAL8v3792FpaYn6+npOnGdsQNfQTE1NMXnyZM7e0940bmpDR9H7+Phw2szXV5RKJdLS0piMOO2bLIqi2hXBW1pa2tmc9Vns15ewVFRUYOHChZg9ezYOHjzY7jxTKpWCrUEKGYMVF4VCgbS0NFAUBT8/P6Yw2d3CvXZdwsrKihGa3nx4uHCEcYGuuHwunGds0NTUhNTUVFhaWvZqGmlv0dW4SZ8bnXXF0+61nkbR6xu6kXPgwIHdFmvtIri5uTnzVNPXqZtdoS9hkcvlCA0Nhb+/Pw4fPkyEhCUEKS70qOPOoF04lpaW8Pb2xoABA3o1g4WGvmuVyWSoq6tjbKwjRozo1lwZfTjC2IDOtKLrFrq2fthwnrHBo0ePmDwzPsVaV+Om9nYRPdyNi8RgNmlra4NUKmUcgb15CtScullZWQkTE5NeT93sisrKSmRkZHAuLJWVlQgLC8P48ePx008/sVZ3exKXL1/Grl27IJVKUV5ejhMnTkAsFjNfX7VqFQ4fPtzu/5k2bRpu3Lihl/WxgcGJi1wuR0ZGBtORzXbHPW1jlcvlqK6u7jJ6RdMRNmnSJM7GqLJBb+Py6Sc8OkRRH5ln1dXVzL+xq6srJ8foDZpd8XK5HC0tLTA1NUVrayunY3TZoLW1FVKpFEOHDoWPjw8rnxVdwqtpc+7thbqyshKZmZnw8vKCg4NDn9fZGTU1NQgPD4eLiwv+85//6NUpd+bMGVy9ehX+/v5YsmSJTnGRyWT4/vvvmddMTEwE/VSsjcGIC0VRKCwsxL179zoU7rnqX6G3R2QyGaqqqphBV/Q+fHZ2tiAcYU+CjXQAQLfzrKd1iSdBF8QnTJgAJyenPv88rqAoCpmZmUwfTUNDg2AaN7VRKBSQSqXMvz8X24uaT7wPHz5EY2NjrwwS+hKWuro6REREwN7eHrGxsbwab4yMjHSKS21tLeLi4nhbV18xCHGhu4fp/obhw4frPcpFpVIx+/D0XdqgQYMwYcIE2NnZCbbGUldXh/T0dDg4OLAal69Zl2Ar86ykpAR5eXmCL4jTRpKGhgbGFi2Uxk1tWlpa2kXP6Gsd2gaJ7mR96UtY6uvrIRaLYW5ujpMnT/KeRtCZuMTFxcHExASWlpaYO3cutm/fzkp/j74QpLhojjpubW1FWloaVCoV/P39e1y4Z5vGxkakpaXBxMQEQ4cObZfxZW9vz+q+c1/RV1x+XzPPNLcX/fz8dHbdCwWVSoXMzEwoFArmfNSms8ZNfTvx6Ewza2trTJgwgTeBa2tra2dz1tXISvcGTZgwgVMLd2NjI5YsWQJjY2MkJCQI4glTl7gcPXoUZmZmcHFxwf379/HBBx9AqVQyNTNDQNDi0tDQAKlUiuHDhzP7xH0p3PcVXY4wXU4rfTdt6oKvuHztRkWlUtllLDxFUcjJycHDhw+73XXPF7SFF0C361b6atzUpqmpCVKpFHZ2doKacKqZ9UX3npmbm+PRo0cYN24cp02nzc3NWLp0KZRKJU6fPs3L8DNd6BIXbcrLy+Hi4oIjR45g8eLF+ltcHxCsuJSXlyMjIwMuLi7w8PBoV7jnQ1i64wijC7600CgUCsbSa2dnpxeLo5Di8p/kPBs4cCBu3brFbC8JOYWXfoIeNGhQr/ttuGrc1KaxsRFSqRQODg6Ct8WXlZUhJycHgwcPRktLCzN1k3ZqsrX2lpYWLF++HI8ePcK5c+cE5errjrgAwJgxY/A///M/eOedd/SzsD4iSEO3TCZDeno6Jk6cCEdHR16j8jW3bHx9fbt0BBkZGcHS0hKWlpYYM2YMcyEpLCxEVlYW602b2mjGzkyZMoX3pwAjIyNYWFjAwsICnp6ejPOsrKwM2dnZMDY2ZiaDCllY6Cmmw4YN65PTysjICObm5jA3N4eHh0e7usTdu3dZMUjQT/sjR46Eh4eHYIUFeOwKpJ+uHR0d29WtCgoKMHjw4HZ1q96+7wqFAitWrEB1dTXOnz8vKGHpLlVVVSgpKRF06oM2gnxyUSgUTL8Jn8LCZkYY202b2hhSXD7tXgIe2ys154+w6TxjA7qR08rKitNQz940bmpDB7fSOXFC5kk1FrqOR4sNgHYzWbq7C9DW1oY//vGPKCwsRGJiomDs4g0NDbh37x4AwM/PD5999hmCgoJgbW0Na2trREdHY8mSJXB0dERhYSHee+89FBcXIzs7WzDbeU9CkOKiVquhUCh4LdxzmRHW0tLCCE1tbW2PmzZ1/TxDiMsH/nux1hycxYXzjA3opwC2nXZPQrt/hKKodnUrXVty9ChvofUG6aK6uhrp6ekYP358t+zmXU3d7OrmTKlU4k9/+hOys7ORmJgoKKfVxYsXERQU1OH1lStXYv/+/RCLxUhLS0NtbS0cHR0RFBSErVu3CjoIVRtBisuxY8fQ0tKCBQsWdHuKHpvQjjBzc3POM8JaW1sZoamursawYcMwYsQI2Nvbd2ja1EVDQwPS0tIYR5BQnGq6qK+vR2pqapcXa+07Vr4yz+rq6pCWlobRo0fzmhatq3FT88JqamrKxPt7eHjA2dmZl3V2l54Kiy4aGxuZlIDOpm6qVCr85S9/QWpqKpKSkji1NhN0I0hx+eKLL/D555+jtLQUCxYsgFgsRmhoKIYPH875sWlHGB8DnrTv4DWbNnX1BtCd7EKPywf+u1ZXV1e4urp2a626nGeaTiuuntDotbq7u3Nq4e4N2okJQ4cORVNTE9zc3ODh4cH38rqEDWHRRjOOpqqqCjExMXB0dERraytu376NS5cuYeTIkawci9AzBCkuAJjpeMePH0dsbCzy8/Mxf/58iEQihIWFwdLSkvWL6YMHD5CdnS2IjDDNpk06Hp8WGktLS8hkMsa9JvQPj1wux+3bt/u0Vn1lntG9QYbwvlZUVOD27dsYNmwYmpqamMbNzm5G+IQWFi7fV7VajdjYWHzzzTeQSqUYOHAgFi1ahMjISOaaQdAfghUXTegJhLTQ3LlzB/PmzYNIJEJ4eDhsbW379EESekaYWq1GdXU1s31G16Lc3d3h6uoq6K0wut/G29ub1T1vLjLPKioqkJWVxXlYIhvQIkgXxIXSuKkLfQgL8Phz8s477+Dnn39GUlIS6urqcPLkSZw8eRKbN29+otWXwC4GIS6aUBSFe/fuMUKTnp6O2bNnQyQSITIyEvb29j0SGjpapra2VvAZYXTDYUVFBWxsbFBbWyuYpk1t6JkxRUVFnPfbsJF5RovgpEmT9DqSujfQc+Q7E0FdjZuahgB9Jf8Cj7eZ09LS9CIsH3zwAf7zn/8gKSkJY8eObfd1iqIE9ST3NGBw4qIJHWYpkUhw4sQJ/P7775g2bRpEIhFEIhFGjhzZ5Qkl5KmR2tBjfjUbDumtInoAGh9Nm7rQnBlDD3HTF71xnhUWFuL+/fu8N512h4qKCty5c6fbT4L6atzUhb6EhaIobN26FYcOHUJSUhImTJjA2bE0eVJsPkVR2LJlC7755hvU1NRg2rRp+PLLLzFx4kS9rI9vDFpcNKG7fWNjYyGRSHDt2jX4+/tDLBZDJBLBxcWl3YVFn46wvqIZlz958mSd9QXNi4hcLkdjYyPnTZu6oEMd6+vree+6f5LzzMjICPn5+SgtLWUCUYUMPemyL09XdOMmbYPnqr+IFpaxY8dyWr+kKAoxMTHYv38/EhMT4ePjw9mxtHlSbH5MTAy2b9+OQ4cOYezYsdi2bRsuX76M3Nxcg+lV6Qv9Rlw0oSgKFRUViIuLg0QiwaVLl+Dj48MIzd27d7Fz50589dVXGD9+vKAfl5ubm5GamtrjuHx6eqBcLsejR49gaWnJ3MFzlQKr2cjZWagjX+jaKqJnsQh9yBfweL57bm4uq3Nj2traGOHtbeOmLmpra5GamqoXYdm9ezc+/fRTXLhwAX5+fpwd60loR7hQFAUnJyesX7+eiWtRKBSwt7dHTEwM1q5dy9ta9UW/FBdNKIpCVVUV4uPjcfz4cfz6668YMGAAoqKisGHDBl7TYp8EW3H5bDdt6oLO3qLH5wq5kZNONq6trYWJiUm73pERI0YIShSB/44i8PPz42zbrjeNm7rQp7B8+eWX+Pjjj3Hu3DlMnTqVs2N1B21xKSgogIeHB1JTU9uJnkgkgqWlZYcpk/0R4V4BWMLIyAi2trZYs2YNioqKcO3aNaxduxY5OTmYM2cOXF1dERkZiaioKM4GKfUGNuPyBw8eDGdnZzg7O7dr2rx37x7TtNmXbRH66YreYhTKe6gLetuupaUFM2fOhKmpKeM8o7ed9DFts7sUFRWhoKAA/v7+nFppjY2NmTqMZuPmvXv3cPv27W7ZvulmTn0Iy4EDB7B9+3acOXOGd2HRRUVFBQB0MFzY29ujqKiIjyXpnX4vLjQ//PAD/v3vf+P69evw8vIC8DiLKSEhARKJBPPnz4ejoyMjNH5+frxdJGnnEhdDk0xMTDBq1CiMGjWqXfG7sLDwiU2buqC77u3t7QUV7a4LlUqF9PR0KJVKBAYGMq6pYcOGwc3NDW5ubu2cZ3l5ebxmnt2/fx+FhYV637bTDmDVDhy1sLBghIieh0ILi6enJ+fCcvjwYWzevBkJCQmYOXMmZ8diA+3z5WlyrfX7bTEalUqFmpqaTguhDQ0NOHPmDGJjY3Hq1ClYW1sjIiICYrEYU6dO1UvBXzuBWZ/OJc2BXw8fPoSxsTEjNFZWVjo/EDU1NUhPT4eLiwvc3NwE/aFpa2tDWloaBgwYAF9f325t2/GVeUafByUlJQgICBBU8VfXxE1zc3M8fPgQnp6enMbPUBSFH3/8EW+//Tbi4+Px7LPPcnasnkK2xTry1IhLT2hubsYvv/wCiUSChIQEDBkyBJGRkRCJRJg5cyYn9QS1Wo3s7GxUV1fz3m+j3bQJgLmo0g15dNc911sgbKBQKJCamorBgwdj0qRJvbpR0FfmGd3H9eDBAwQEBAi670qpVKK4uBgFBQUwMjLCwIEDOWvcpCgKx44dw7p163D8+HGEhISw9rPZoLOC/ptvvomNGzcCeFyXHDFiBCnoEx6jUChw4cIFSCQSxMfHw9jYmHmimTNnDisNaUqlEpmZmWhtbYWvry/vM701oSgKNTU17SZtDhs2DI8ePWLmcAgZuh40fPhwJoW5r3TWpNjXzDOKonD37l3IZDIEBAQIYgRvV9BJzJ6enhg5ciSnjZsnTpzAn//8Zxw9ehTh4eEs/QZ9o6vYfGdnZ8TExODjjz/G999/jzFjxmDHjh24ePEisSITOtLW1oZLly7h+PHjiIuLQ1tbGyIiIiASiTBv3rxeNWEqFAqkpaXBxMRE8HH5arUaubm5KCsrg4mJSYeLqj47v7tDY2MjUlNTYWtry5nlnKIo1NfXM+Lb1NQEGxubHjvP6PSFyspKBAQEsObi4wpaWHQlMdPvCV27amxsZBo3e2OFT0hIwOrVq/HDDz8gKiqKzV+jT3QVm3/o0CGmifLrr79u10Tp7e3Nw2r1DxGXXqJUKvHbb78xQtPQ0IBFixZBLBZj/vz53XIZGVJcPn1XXVFRwcy6b2xshEwmYy4gtKNICHZe2mjg5OSk13Rr7f6i7jjPKIpihtIFBATw7lB7El0Jiy760rh59uxZrFixAt999x2WLVvG5q9B4BgiLiygUqlw48YNJoamqqoKCxcuhFgsRnBwsM7tDboYbghx+XT+Wl1dHfz9/XXeVTc1NTF37/pq2uwM2rnk6uoKNzc3vR5bE+3MM122b3raaV1dHQICAgS1JaqLngqLNj1p3ExMTMTy5cvx1Vdf4Q9/+IOgPyOEjhBxYRm1Wo2UlBRGaMrKyrBgwQKIRCJmJs33338PIyMjPPfcc4IvhmvWg7o7Plm7adPc3Bz29vasNm12Bj0+d8yYMYKa2qfLeWZnZ4f6+nooFAoEBgYKOtsO6LuwaKOrcfPmzZtwdHSEvb09/vjHP2LPnj1YvXo1ERYDhIgLh6jVamRmZjIJzgUFBfDz80N6ejr27Nkj+LsxNrruW1tbmbv3qqoqVpo2O4NOC/by8hK00YCe1ZObmwuFQsHcvQshHr8zHj16BKlUytkANbpxc+fOnTh27BhkMhm8vLzw+uuvIzIyUlAjigndg4iLnlAqlVi9ejVOnDgBLy8vpKenIygoiJlJY2NjIyih0cw08/HxYeWCp+vunX6i6etwK7q7nu25MVxAx8/Q7kDN2TRsOc/YhGth0SQ5ORmRkZFYt24dzMzMEB8fj5SUFOzatQtvvvkmp8cmsAsRFz1AURSWL1+OtLQ0nD17Fm5ubsjLy2OeaDIyMjBnzhyIRCJERET0eCYN2zQ0NCA1NRV2dnacuay6atrsaWginb3FZqgjV9ApASqVCn5+fu0cdmw5z9iEFhY3Nze4urpyeqy0tDSEh4fj73//O9566y3mvCsvL4dKpRL8FjKhPURc9IREIsHcuXM7JATQQ7XoGk1ycjKmT5/OzKRxcnLSq9DQxXB9Gg00mzbpvffubBPR83wKCwvh5+cn+DG2SqUS6enpoCgKfn5+T3wq6Y3zjE30KSy3bt3CokWL8Pbbb2PTpk283VxFR0djy5Yt7V6zt7dnssII3YeIi4CgKAqlpaWIjY1FbGwsrl69isDAQEZotGfSsA0dlslnMZyiKKYZTy6XQ6lUttsmorvrKYpCXl4eysvL9T6QrDfQ8TPGxsbw9fXtcUoA7TyjY1e4rF0Bj4UlNTUVrq6unAvLnTt3EBoair/+9a/48MMPeX1qj46OZtLTaehQT0LPIOIiUOiZNCdOnIBEIsHly5cxadIkRmjY7t148OABsrOzBTU/XnPSplwuR0tLC9P1XV1djZqaGvj7+wu+k72trQ2pqalMo2xfc+o6c57RW4p9PS/q6+shlUr1Iiy5ubkIDQ3F6tWrsWPHDt7rjtHR0YiLi0N6ejqv6+gPEHExACiKQmVlJTP8LCkpCePGjYNIJIJYLO5zXYQe8zt58mRYW1uzuHL2oCiKadosLi6GUqmElZUVHBwcBNG02Rmtra3tcs3YdoJ1lnlmZ2cHGxubHh+PFhY6jJRL8vPzERISguXLl2PXrl2CcMlFR0dj165dsLCwgKmpKaZNm4YdO3bA3d2d76UZHERcDAw66+vkyZOQSCQ4f/483N3dmVEBPcnP0txa8vPzE/yYX9plpVAoMGHCBCbzjK5H0M4zoTQiKhQKSKVSZooo1xfPvmae6VNYCgsLERoaioiICHz++eeCEBbg8ejipqYmjB07FjKZDNu2bUNOTg6ysrIEbxYRGkRcDJy6ujokJCQgNjYWZ8+ehaOjI0QiEaKiouDr69vph5buDK+tre20615IaBbDfX1927mstDvhzc3NmXoEX1tmLS0tkEqlsLCwgJeXl94vnj11nulTWEpLS7Fw4UIEBwdj//79ghEWXTQ2NsLDwwMbN27EW2+9xfdyDAoiLv2IhoYGnD59GrGxsTh9+jSsra0RGRkJsViMKVOmMHv99fX1yMnJgVKphL+/v+A7w+lmzkGDBmHy5Mld1iz02bTZGc3NzZBKpbCysoKXlxfvdQSga+eZUqnUm7CUl5cjJCQEc+bMwYEDB/QyJ6mvLFiwAJ6enti/fz/fSzEoiLj0U5qamtrNpBk2bBgiIyMRFBSE6OhozJkzBzExMYJLMtampaUFqampGDZsWI+bOZVKZbvCt4mJCefDvpqamiCVSjlNYu4rCoWC2Tqrrq4GRVGwsrLCuHHjOBVgmUyG0NBQBAYG4vDhwwYhLAqFAh4eHvjzn/+MzZs3870cg4KIy1NAS0sLLly4gMOHDyM+Ph4uLi6YPXs2lixZgtmzZwtWYDSfAPqaGs1m02ZnNDY2QiqVwt7eHmPHjhWksGjS0NCA5ORkxsTBhfOMprKyEosWLYKXlxd++uknQSQP6GLDhg2IiIiAs7Mz5HI5tm3bhkuXLuHWrVucpxP0N4i4PCVkZ2cjODgYISEhWLJkCU6cOIG4uDioVCqEh4dDLBZj3rx5gnFd0SkBI0aMwLhx41i9UKvVatTU1EAmkzFNm/QFtTcOK3q9UqlU7xH/vaWhoQEpKSkYPXo0PDw8APw3SJIW4L46z2iqq6sRHh4ONzc3HD16VDDnmC6WL1+Oy5cvo7KyEnZ2dpg+fTq2bt0KLy8vvpdmcBBxeUp44YUXMH78eGzZsoW58NEzaY4dO4a4uDg0NTVh0aJFEIlEeO6553hzXdENfKNHj+Y8JUC7abOtrY0RGs2mza6gi+H6WC8b6BIWbWjnGV2n6W3mWW1tLSIiIuDg4IDY2FjB1/cI7NEvxGX79u04deoU0tPTYWJigtra2g7fU1xcjL/+9a9ITEzEkCFD8NJLL+GTTz4R9F0Um7S1tXW5/aVSqXD9+nUmhqa6uhohISEQi8VYsGCB3lxX9JwbfYQkaqPpsJLJZGhpaYGNjQ0zb0TX+1dXV4e0tDS9FMPZgH7CGjVqVKfCok1XzjM7O7tOBePRo0cQi8UYPnw4Tp48KRiLOEE/9Atx+fDDD2FpaYnS0lJ8++23HcRFpVLB19cXdnZ2+PTTT1FVVYWVK1di8eLF2Lt3Lz+LFjBqtRrJycmM0Dx48ADBwcHMTBquolbo+JmxY8fyHlJIN23SF9SGhgZm0iZ9QaVz2PgQwt7QG2HRRXcyzxoaGrB48WIMGjQIp06dErzVncA+/UJcaA4dOoT169d3EJczZ84gPDwcJSUlcHJyAgAcOXIEq1atglwuF3zzIJ+o1WpkZGQwCc6FhYV47rnnEBkZibCwMNZcVxUVFcjKysLEiRPh4ODAwsrZRXvS5rBhw9DU1AQ3NzeD6N6mhWXkyJHw8PBgbetO03lWXl6OzZs345lnnsGdO3dAURTOnj0LMzMzVo5FMCyeCnHZvHkz4uPjkZGRwbxWU1MDa2trJCYmIigoSM8rNUwoikJWVhYjNLm5uZg3bx7EYjHCw8NhbW3dq4tWaWkp7t69Cx8fH4MICCwvL0dWVhaGDBmC5uZmQTRtdkVjYyNSUlJYFxZt6uvr8a9//Qv//ve/cefOHYwaNQpLliyBWCzGzJkzDcJ6TGAP4bbGskhFRUWHMEYrKyuYmJiQKO0eYGRkBG9vb0RHRyMjIwOZmZmYO3cuvv32W7i7uyMiIgIHDx6ETCZDd+9ZioqKkJeXBz8/P4MQlsrKSmRnZ8PLywuzZs3CM888g9GjR6O2thbXr1/HtWvXcO/ePdTX13f7PeASfQkLAJiYmCApKQkmJiYoLi7G3r17UVNTg6ioKKSkpHB2XIIwEay4REdHw8jIqMs/PTlhdX2oKIoSvLNHqBgZGWHcuHF47733kJycjJycHISEhOD//u//MHbsWISGhmL//v0oKyvTeZGlKAr37t3D/fv3ERAQACsrKx5+i54hl8uRmZkJLy8vZnvVxMQETk5O8PPzw7x58+Du7o6mpiYkJyfj6tWruHv3Lmpra3kRGn0KS1tbG1atWoUHDx7g3LlzcHJyQkREBL777jtUVFRg6tSpnB2bIEwEuy1WWVmJysrKLr/H1dW1nQOFbIvxD0VRKCkpYWbSXLt2DVOmTGFGBTg7O0OtVmPPnj3w9/dHYGCgQezJy2Qy3L59Gz4+Pt0ao6yPps2uoIVFH303SqUSa9asQU5ODpKSkgTxBLpv3z7s2rUL5eXlmDhxInbv3o05c+bwvaynCsGKS294UkG/tLQUjo6OAICjR49i5cqVpKDPIRRFoby8nJlJc+XKFUyaNAmDBw9GQUEBEhMTDcJlVV5ejuzs7F7XhOimTdoQwEbTZlfoU1hUKhXWrl2LtLQ0JCUlCcKMcfToUaxYsQL79u3DrFmz8PXXX+PgwYO4c+cOnJ2d+V7eU0O/EJfi4mJUV1fj5MmT2LVrF65cuQIA8PT0hJmZGWNFtre3x65du1BdXY1Vq1ZBLBYTK7KeoCgKZWVlEIlEyM/Px8CBAzFy5EhmJg3bXfhsUVZWhtzcXEyePJmVyHWKolBXVweZTNauOdHe3h42NjZ9jkWhI2gcHR31IiyvvfYarl69iosXL2LkyJGcHasnTJs2Df7+/u2CJidMmACxWIyPP/6Yx5U9XfQLcVm1ahUOHz7c4fWkpCTMmzcPwGMBevXVVzs0UZKOYf3Q2NiIxYsXo6amBqdPn8aAAQMQHx8PiUSCX3/9Fe7u7syoAD4i6nVBu9h8fX05GaKm3ZzY3Nz8xKbNrmhqakJKSgocHBwwZswYToVFrVZj/fr1SExMRFJSkmCeQFtbWzF06FAcO3YMUVFRzOtvvPEG0tPTcenSJR5X93TRL8SFIHzq6+vxwQcfYOvWrR2aMOvq6vDzzz8zM2lGjhwJsVgMsViMyZMn8yI0xcXFyM/Ph5+fHywtLfVyzIaGhi6bNrtC38KyceNGJCQk4OLFi4Lq83nw4AFGjhyJq1evYubMmczrO3bswOHDh5Gbm8vj6p4u+L897Ie4urp2cLa9++67fC+LV8zNzbF7926d3f0WFhZ4+eWXERsby0z/Ky4uRkhICHx8fLBp0ybcvHkTarVaL2stLCxEfn4+/P399SYsAGBmZgZ3d3dMnz4ds2bNgo2NDcrLy3HlyhUkJyejqKgIzc3NHf4/fQvL3//+d8THx+PChQuCEhZNtN8D4gzVP8LMve4HfPTRR3jllVeYvxuCI0oImJubY9myZVi2bBmamppw7tw5SCQSREVFwdzcHJGRkRCJRJgxYwYnTXkFBQUoLi5GQEAAr0aPIUOGwMXFBS4uLkwXvFwuR15eHszMzJiRzrQl397ennNhoSgKW7duxZEjR5CUlIQxY8ZwdqzeQoeNavevyeXyDr1uBG4h4sIR5ubmgnDOGDJDhw5FVFQUoqKi0NLSgl9//RUSiQQvvvgiTExMEB4ejqioKMyaNavPM2koikJ+fj7KysoEZ482NTXF6NGjMXr0aLS1teHhw4eQyWTIz88HoJ9zjaIo/OMf/8B3332HxMRETJgwgdPj9RYTExMEBATg/Pnz7Wou58+fh0gk4nFlTx+k5sIBrq6uUCgUaG1txejRo/H888/jb3/721OTwMw1bW1tSEpKwvHjxxEfHw+1Wo2wsDBERUVh7ty5PX6fKYpCXl4eysvLERgYKMgIF23orTAzMzMMHDiQ00mbFEXhs88+w+7du3HhwgX4+vqy8nO5grYif/XVV5gxYwa++eYbHDhwAFlZWYIxHjwNEHHhgH/+85/w9/eHlZUVfv/9d2zatAkikQgHDx7ke2n9DqVSiStXruDYsWOIj49HU1MTwsLCIBaL8eyzzz4x5p2iKOTm5uLhw4cICAgwiPTe5uZmpKSkYMSIEczES81BX3K5HAMGDGCExsrKqtemCIqisHfvXsTExOCXX37BlClTWP5tuGHfvn3YuXMnysvL4e3tjX/+85945pln+F7WUwURl24SHR2NLVu2dPk9ycnJCAwM7PC6RCLB0qVLUVlZyUqvBEE3KpUK165dY0YF1NbWtptJoy0cFEUhOzsb1dXVCAgIYOLihQwtLHZ2dp32BnXVtGltbd3tWhVFUfjmm2+wZcsWnDlzBjNmzGD71yH0Y4i4dJPexNHQlJWVYdSoUbhx4wamTZvG1RIJGqjVavz++++M0FRUVDAzaUJCQjBkyBC88cYbWLhwIYKDgw1ikFV3hEWbzpo2nzRRkqIoHDp0CJs2bUJCQgK56yf0GCIueiAhIQEREREoKioi8RM8oFarkZ6e3m4mjYeHBx49egSJRIKJEycK3qbaG2HRprtNmxRF4YcffsCGDRtw8uRJkr1H6BVEXFjm+vXruHHjBoKCgmBhYYHk5GS8+eabCAwMRHx8PN/Le+pRKBQICwvDrVu3MGrUKNy+fRtBQUEQi8UICwvr9UwaLmFDWHTR0NDAOM8aGhpw4sQJuLq6wtLSEu+//z4kEgkWLlzIyrEITx/EiswypqamOHr0KLZs2QKFQgEXFxe88sor2LhxI99Le+pRKpVYunQpampqcOfOHVhbWyM3NxcSiQQHDhzA66+/jjlz5kAsFiMiIgJ2dna8C01zczOkUilsbW1Zz18zMzODmZkZ3NzcGAE7cuQIcnNzMX78eGRlZWHcuHFwdXVl7ZiEpwfy5NIPIPHi3efgwYNYunRph857iqJQUFCA48eP48SJE5BKpZgxYwbEYjEiIyPh6Oiod6GhhcXGxgbjx4/n/PgJCQlYvXo19u7di7a2NkgkEiQlJeGjjz7Cpk2bOD02of9BxMXAIfHi7ENRFIqLi5mZNNevX8fUqVOZmTSjR4/m/ELf0tKClJQUvQnL2bNnsWLFCnz//fd44YUXmNerq6uhUCiYURUEQnch4mLgkHhxbqEoCg8ePGBm0vz222/w9fVlhMbd3Z31Cz8tLNbW1pgwYQLnwnLhwgW8+OKL+Oqrr/CHP/yB961AXbi6uqKoqKjda++88w7+8Y9/8LQiwpMg4mLAkHhx/UJRFORyOeLi4iCRSHDx4kV4eXkxM2nohsa+oG9huXz5Mp5//nl8/vnnWLVqlSCFBXgsLn/605865PUJKaaH0B6SimzAVFZWQqVSdQjks7e37xDcR+g7RkZGsLe3x9q1a3Hu3DmUl5fj9ddfR0pKCmbMmIGpU6di27ZtyMrK6lWCs76F5erVq3jhhRewa9cuQQsLDZ2hRv8hwiJsiLj0A0i8uP4xMjKCjY0N1qxZg1OnTqGiogLvvvsusrOzMXfuXPj7++PDDz9EWlpat4RG38Ly+++/Y+nSpdi+fTvWrl1rEOdLTEwMbGxs4Ovri+3bt6O1tZXvJRG6gFiRDRgSLy4cLC0tsWLFCqxYsQL19fU4deoUYmNjERISAltbW0RGRiIqKgqBgYEdcr5aWloglUphZWWlF2FJTU1FVFQUNm/ejHXr1hmEsLzxxhsd8vru379P8voEDKm5GDjTpk1DQEAA9u3bx7xG1wFIQZ9/mpqacPbsWUgkEpw6dQrDhw9HREQExGIxpk+fjuLiYmzduhXr16+Hj48P5xf6zMxMLFq0CH/729/w7rvv8iosJK+vf0PExcAh8eKGQ0tLC86fPw+JRIKTJ09i4MCBGDBgALy9vXHs2LEnjjLuK3fu3EFoaCjWrVuHzZs38/7EQvL6+jdEXPoBJF7c8CgqKsKsWbNgbm6OqqoqAGBm0jzzzDOsz/7Jzc1FaGgo1qxZg+3bt/MuLH2F5PUJHyIuBIKekclkmDt3LqZNm4bvvvsOFEXh8uXLOH78OOLi4tDS0sLMpAkKCupzYvO9e/cQGhqKF198ETt37uz1bBe+IHl9hgkRF0Kf0LVvTqzQXdPQ0IAvv/wSGzZs6DBbRaVS4erVq8yogLq6OoSGhkIkEumcSfMkCgsLERISApFIhD179hicsACPDQivvvoqcnJymLy+5cuXY+PGjQYx3O1phYgLoU9ER0fj+PHj+PXXX5nXjI2NYWdnx+Oq+gdqtRo3b95khEYmkyE4OBhisRghISFP7PMoLS1FcHAwQkJCsG/fPoMUFoLhQsSF0Ceio6MRFxeH9PR0vpfSr1Gr1UhLS2Nm0pSUlGD+/PkQi8VYtGgRhg8f3q6OUl5ejoULF+KZZ57BgQMHuj19kkBgC3IrQ+gzeXl5cHJygpubG5YvX46CggK+l9TvGDBgAAICAvDxxx8jJycHN2/ehJ+fH3bv3g1XV1csXboU//rXv1BdXQ2ZTIawsDBMnz6dCAuBN8iTC6FPnDlzBk1NTRg7dixkMhm2bduGnJwcZGVlkf4DPUBRFHJycphRAbdu3cLgwYMxf/58HD9+vNMxxgQC1xBxIbBKY2MjPDw8sHHjRrz11lt8L+epgqIo3L17F++//z5+/PFHzvtmCISuIOJCYJ0FCxbA09Oz3RgAAoHwdEFqLgRWUSgUyM7OJsOlCISnHCIuhD6xYcMGXLp0Cffv38fNmzexdOlSPHr0CCtXruR7aQSe2L59O2bOnImhQ4d2GCdNU1xcjIiICAwbNgy2trZ4/fXXScpxP4NU+wh9orS0FC+++CIqKythZ2eH6dOn48aNGyTX7CmmtbUVzz//PGbMmIFvv/22w9dVKhXCwsJgZ2eH3377DVVVVVi5ciUoisLevXt5WDGBC0jNhUAgcMKhQ4ewfv161NbWtnv9zJkzCA8PR0lJCZycnAAAR44cwapVqyCXyzF8+HAeVktgG7ItRjA4Ll++jIiICDg5OcHIyAhxcXHtvk5RFKKjo+Hk5IQhQ4Zg3rx5yMrK4mexhA5cv34d3t7ejLAAwMKFC6FQKCCVSnlcGYFNiLgQDI7GxkZMnjwZX3zxhc6v79y5E5999hm++OILJCcnw8HBAQsWLEB9fb2eV0rQRUVFRYdhdlZWVjAxMSGZdP0IIi4EgyM0NBTbtm3D4sWLO3yNoijs3r0b77//PhYvXgxvb28cPnwYTU1N+Omnn3hYbf8gOjoaRkZGXf5JSUnp9s/TFflPxnP3L0hBn9CvuH//PioqKhAcHMy8Zmpqirlz5+LatWtYu3Ytj6szXNatW4fly5d3+T2urq7d+lkODg64efNmu9dqamrQ1tZGxnP3I4i4EPoV9LaK9kXK3t4eRUVFfCypX2BrawtbW1tWftaMGTOwfft2lJeXM/1Qv/zyC0xNTREQEMDKMQj8Q8SF0C/R3l4hWy76o7i4GNXV1SguLoZKpWISsz09PWFmZobg4GB4eXlhxYoV2LVrF6qrq7Fhwwa88sorxCnWjyDiQuhXODg4AHj8BKOZEiCXy8mWi57YvHkzDh8+zPzdz88PAJCUlIR58+bB2NgYp06dwquvvopZs2ZhyJAheOmll/DJJ5/wtWQCBxBxIfQr3Nzc4ODggPPnzzMXtdbWVly6dAkxMTE8r+7p4NChQzh06FCX3+Ps7IyEhAT9LIjAC0RcCAZHQ0MD7t27x/z9/v37SE9Ph7W1NZydnbF+/Xrs2LEDY8aMwZgxY7Bjxw4MHToUL730Eo+rJhCeLkiHPsHguHjxIoKCgjq8vnLlShw6dAgURWHLli34+uuvUVNTg2nTpuHLL7+Et7c3D6slEJ5OiLgQCAQCgXVIEyWB0EueFEOzatWqDo2G06dP52exBIKeIeJCIPSSJ8XQAEBISAjKy8uZP6dPn9bjCgkE/iAFfQKhl4SGhiI0NLTL7zE1NWXs0QTC0wR5ciEQOOTixYsYMWIExo4di1deeQVyuZzvJREIeoGIC4HAEaGhofjxxx+RmJiITz/9FMnJyXj22WehUCj4XhqBwDlkW4xA4Ihly5Yx/+3t7Y3AwEC4uLjg1KlTOhOdCYT+BHlyIRD0hKOjI1xcXJCXl8f3UggEziHiQiDoiaqqKpSUlLTLPCMQ+itkW4xA6CVdxdBYW1sjOjoaS5YsgaOjIwoLC/Hee+/B1tYWUVFRPK6aQNAPpEOfQOglXcXQ7N+/H2KxGGlpaaitrYWjoyOCgoKwdetWjB49mofVEgj6hYgLgUAgEFiH1FwIBAKBwDpEXAgEAoHAOkRcCAQCgcA6RFwIBAKBwDpEXAgEAoHAOkRcCAQCgcA6RFwIBAKBwDpEXAgEAoHAOkRcCAQCgcA6RFwIBAKBwDpEXAgEAoHAOkRcCAQCgcA6/w/LI1xMJRI92QAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb new file mode 100644 index 00000000..e0eef3f7 --- /dev/null +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb @@ -0,0 +1,400 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", + " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", + " ...,\n", + " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", + " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", + " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T14:43:25.224994\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" + ] + } + ], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(1.7005, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(7.6356, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(7.8562, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(1.8611, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.2250, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.2038, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.8290, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5708, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.2055, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.6030, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(20.1962, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.9449, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0560, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.7588, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(24.1160, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6037, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0110, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.7591, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.3137, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7577, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0007, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.7842, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.4336, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6797, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(0.0007, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.6961, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.8887, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6996, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0002, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.6755, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.8724, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6719, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(0.0005, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.6610, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9321, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7177, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0005, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.8077, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9714, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6987, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,\n", + " torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=10,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20,50],\"gamma\": 0.5}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(9.8077, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(27.9714, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(2.6987, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The parameters are much closer" + ] + }, + { + "source": [ + "# Predict using 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.0192e-01, 2.7971e-01, 0.0000e+00],\n", + " [ 8.4090e-01, 5.2920e-01, 2.5228e-03],\n", + " ...,\n", + " [-5.7779e+00, -8.5115e+00, 1.8232e+01],\n", + " [-6.0460e+00, -8.9891e+00, 1.8232e+01],\n", + " [-6.3347e+00, -9.4881e+00, 1.8283e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 19d1b6c8..67385052 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -129,6 +129,64 @@ def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, schedu lr_scheduler.step() print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) + print(self.coeffs) + + def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_size=64, scheduler=None, scheduler_params=None): + """Fits model to the given data. + + Args: + x (torch.Tensor): Original time series data + max_epochs (int): Number of training epochs + batch_size (int): Batch size for torch.utils.data.DataLoader + """ + dataset = TensorDataset(x) + loader = DataLoader(dataset, batch_size=batch_size) + + if optim_params is not None: + optimizer = optim(self.parameters(), **optim_params) + else: + optimizer = optim(self.parameters()) + + if scheduler is not None: + if scheduler_params is not None: + lr_scheduler = scheduler(optimizer, **scheduler_params) + else: + lr_scheduler = scheduler(optimizer) + + for epoch in range(max_epochs): + for i, data in enumerate(loader, 0): + self.zero_grad() + + n = data[0].shape[0] + + if n<3: + continue + + ri = torch.randint(low=0,high=n-2,size=()).item() + single_point = data[0][ri:ri+1,:] + + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + init_point = {var: single_point[0,i] for i,var in enumerate(self.var_names)} + + coeffs = self.get_coeffs() + + for var in self.var_names: + + new_val = init_point[var] + self.ode[var](init_point, self.coeffs) * self.dt + pred[var] = new_val + + predictions = torch.stack([pred[var] for var in self.outvar], dim=0) + loss = self.criterion(predictions, data[0][ri+1,:]) + + loss.backward(retain_graph=True) + optimizer.step() + + if scheduler is not None: + lr_scheduler.step() + + print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) + print(self.coeffs) def _step(self, batch, batch_idx, num_batches): From 39937624c7d3a34fcc32f52999146fd12da5737d Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 15:07:07 -0400 Subject: [PATCH 17/73] Tested SEIR and Duffing with random samlpe --- ...uffingTest.ipynb => DuffingTest_fit.ipynb} | 0 .../DuffingTest_fitRandomSample.ipynb | 390 +++++++++++++++++ .../{SEIR_Test.ipynb => SEIRTest_fit.ipynb} | 0 .../ode/SEIR/SEIRTest_fitRandomSample.ipynb | 402 ++++++++++++++++++ .../Lorenz63Train_fitRandomSample.ipynb | 4 +- 5 files changed, 794 insertions(+), 2 deletions(-) rename examples/ode/DuffingEquation/{DuffingTest.ipynb => DuffingTest_fit.ipynb} (100%) create mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb rename examples/ode/SEIR/{SEIR_Test.ipynb => SEIRTest_fit.ipynb} (100%) create mode 100644 examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb diff --git a/examples/ode/DuffingEquation/DuffingTest.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb similarity index 100% rename from examples/ode/DuffingEquation/DuffingTest.ipynb rename to examples/ode/DuffingEquation/DuffingTest_fit.ipynb diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb new file mode 100644 index 00000000..f4e10516 --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb @@ -0,0 +1,390 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return dt\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [3.9973e-05, 7.9920e-03, 1.0000e-04],\n", + " [1.5979e-04, 1.5968e-02, 2.0000e-04],\n", + " ...,\n", + " [7.7501e-01, 1.1140e-01, 9.9701e-02],\n", + " [7.7615e-01, 1.1605e-01, 9.9801e-02],\n", + " [7.7733e-01, 1.2069e-01, 9.9901e-02]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 0.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T14:52:42.233581\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(1.6585e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1545, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2955, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0153, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.0601, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(6.2241e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0102, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3692, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0477, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5677, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.6668e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0643, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5249, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1343, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7102, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.2800e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0268, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5256, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2123, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8063, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(2.8828e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0446, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5229, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2207, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7748, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(6.4483e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0483, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5157, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1967, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7670, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(3.4342e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0514, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5113, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2026, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7670, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(4.1703e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0570, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5129, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2086, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7728, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(6.9033e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0620, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5134, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2020, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7777, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(6.7190e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0651, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5112, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2028, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7791, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(0.0651, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.5112, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(0.2028, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(0.7791, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(0., requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Re-calculate using 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [0.0000e+00, 7.7911e-03, 1.0000e-04],\n", + " [7.7911e-05, 1.5566e-02, 2.0000e-04],\n", + " ...,\n", + " [7.4635e-01, 1.0293e-01, 9.9701e-02],\n", + " [7.4738e-01, 1.0790e-01, 9.9801e-02],\n", + " [7.4846e-01, 1.1286e-01, 9.9901e-02]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/SEIR/SEIR_Test.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb similarity index 100% rename from examples/ode/SEIR/SEIR_Test.ipynb rename to examples/ode/SEIR/SEIRTest_fit.ipynb diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb new file mode 100644 index 00000000..344b0237 --- /dev/null +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb @@ -0,0 +1,402 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Rossler Attractor equations\n", + "dt = 0.01\n", + "\n", + "def s_prime(prev_val, coeffs):\n", + " return - coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"]\n", + "\n", + "def e_prime(prev_val, coeffs):\n", + " return coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"] - coeffs[\"g2\"]*prev_val[\"e\"]\n", + "\n", + "def i_prime(prev_val, coeffs):\n", + " return coeffs[\"g2\"]*prev_val[\"e\"] - coeffs[\"a\"]*prev_val[\"i\"]\n", + "\n", + "def r_prime(prev_val, coeffs):\n", + " return coeffs[\"a\"]*prev_val[\"i\"]\n", + "\n", + "ode = {\"s\": s_prime, \"e\": e_prime, \"i\": i_prime, \"r\": r_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"s\": 0.1, \"e\": 0.9, \"i\": 0, \"r\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9820e-01, 1.7973e-03, 8.9910e-07],\n", + " [9.9999e-02, 8.9641e-01, 3.5892e-03, 3.5928e-06],\n", + " ...,\n", + " [3.3031e-02, 1.5079e-01, 4.4694e-01, 3.6924e-01],\n", + " [3.2987e-02, 1.5053e-01, 4.4679e-01, 3.6969e-01],\n", + " [3.2943e-02, 1.5028e-01, 4.4664e-01, 3.7014e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(result_np[:,0])\n", + "plt.plot(result_np[:,1])\n", + "plt.plot(result_np[:,2])\n", + "plt.plot(result_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"g1\": 0., \"g2\": 0.}\n", + "\n", + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(results_test_np[:,0])\n", + "plt.plot(results_test_np[:,1])\n", + "plt.plot(results_test_np[:,2])\n", + "plt.plot(results_test_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(4.8288e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0269, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1074, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0953, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(2.0655e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0900, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1667, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1534, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.1113e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0938, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1603, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1875, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.7395e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0977, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1045, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1947, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(1.0675e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0987, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0378, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1925, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(7.6691e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0967, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0213, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1913, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(5.0638e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0977, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0705, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1928, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.2485e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1129, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1942, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(2.1024e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1491, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1955, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(1.3972e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1793, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1965, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.01},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': 0.09896983206272125,\n", + " 'g1': 0.17932915687561035,\n", + " 'g2': 0.19646891951560974}" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "ode_solver.get_coeffs()\n", + "\n", + "# \"a\" and \"g2\" match. \"g1\" is off, but the difference it makes on the trajectories is not noticeable" + ] + }, + { + "source": [ + "# Re-calculate using 4th Order Runge-Kutta" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9823e-01, 1.7682e-03, 0.0000e+00],\n", + " [1.0000e-01, 8.9647e-01, 3.5312e-03, 1.7500e-06],\n", + " ...,\n", + " [1.6836e-02, 4.9285e-06, 1.6826e-04, 9.8299e-01],\n", + " [1.6836e-02, 4.9239e-06, 1.6810e-04, 9.8299e-01],\n", + " [1.6836e-02, 4.9193e-06, 1.6795e-04, 9.8299e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "ode_solver(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9823e-01, 1.7682e-03, 0.0000e+00],\n", + " [1.0000e-01, 8.9647e-01, 3.5312e-03, 1.7500e-06],\n", + " ...,\n", + " [5.2090e-02, 1.4850e-01, 4.3960e-01, 3.5981e-01],\n", + " [5.2049e-02, 1.4825e-01, 4.3946e-01, 3.6024e-01],\n", + " [5.2008e-02, 1.4800e-01, 4.3932e-01, 3.6068e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "results_test = ode_solver(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(results_test_np[:,0])\n", + "plt.plot(results_test_np[:,1])\n", + "plt.plot(results_test_np[:,2])\n", + "plt.plot(results_test_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb index e0eef3f7..e5ed371f 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb @@ -247,8 +247,8 @@ " torch.optim.Adam,\n", " {\"lr\": 0.5},\n", " max_epochs=10,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20,50],\"gamma\": 0.5}\n", + " # scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " # scheduler_params={\"milestones\": [20,50],\"gamma\": 0.5}\n", ")" ] }, From ab7c82fd824b32c33e4a6f1450519879084762e2 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 15:20:40 -0400 Subject: [PATCH 18/73] Update SEIRTest_fitRandomSample.ipynb --- .../ode/SEIR/SEIRTest_fitRandomSample.ipynb | 182 +++++++++++------- 1 file changed, 115 insertions(+), 67 deletions(-) diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb index 344b0237..f56432f6 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb @@ -144,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -162,14 +162,14 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -192,63 +192,113 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 16, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(4.8288e-08, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(4.6695e-08, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0269, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1074, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.0953, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(2.0655e-09, grad_fn=)\n", + "tensor(0.0282, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1135, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0955, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(2.0676e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0900, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1667, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1534, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.1113e-09, grad_fn=)\n", + "tensor(0.0911, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1717, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1552, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.0620e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0938, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1603, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1875, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.7395e-09, grad_fn=)\n", + "tensor(0.0951, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1594, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1907, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.6878e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0977, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1045, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1947, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.0675e-09, grad_fn=)\n", + "tensor(0.0984, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0977, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1960, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(1.1100e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0987, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0378, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1925, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(7.6691e-10, grad_fn=)\n", + "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0276, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1926, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(6.7458e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0967, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0213, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1913, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(5.0638e-10, grad_fn=)\n", + "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0326, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1915, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(4.3536e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0977, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0705, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1928, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.2485e-10, grad_fn=)\n", + "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0814, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1927, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.0973e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1129, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1942, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(2.1024e-10, grad_fn=)\n", + "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1227, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1947, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(1.9906e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1491, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1955, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(1.3972e-10, grad_fn=)\n", + "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1578, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1958, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(1.1289e-10, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1793, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1965, requires_grad=True)}\n" + "tensor(0.1876, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1966, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(7.3364e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2122, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1971, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(4.2479e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2319, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1977, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(2.5407e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2475, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1983, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(1.5420e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2600, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1987, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(8.4156e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2699, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1989, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(4.9005e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2774, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(2.4019e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2833, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(1.3333e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2877, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(7.3605e-13, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2909, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(3.6061e-13, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2933, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n" ] } ], @@ -256,32 +306,30 @@ "ode_solver.fit_random_sample(\n", " result,torch.optim.Adam,\n", " {\"lr\": 0.01},\n", - " max_epochs=10\n", + " max_epochs=20\n", ")" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 17, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "{'a': 0.09896983206272125,\n", - " 'g1': 0.17932915687561035,\n", - " 'g2': 0.19646891951560974}" + "{'a': 0.0999365746974945, 'g1': 0.2932976186275482, 'g2': 0.19956441223621368}" ] }, "metadata": {}, - "execution_count": 10 + "execution_count": 17 } ], "source": [ "ode_solver.get_coeffs()\n", "\n", - "# \"a\" and \"g2\" match. \"g1\" is off, but the difference it makes on the trajectories is not noticeable" + "# Coefficients differ by at most 0.01" ] }, { @@ -293,7 +341,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -301,17 +349,17 @@ "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9823e-01, 1.7682e-03, 0.0000e+00],\n", - " [1.0000e-01, 8.9647e-01, 3.5312e-03, 1.7500e-06],\n", + " [1.0000e-01, 8.9820e-01, 1.7961e-03, 0.0000e+00],\n", + " [9.9999e-02, 8.9641e-01, 3.5868e-03, 1.7949e-06],\n", " ...,\n", - " [1.6836e-02, 4.9285e-06, 1.6826e-04, 9.8299e-01],\n", - " [1.6836e-02, 4.9239e-06, 1.6810e-04, 9.8299e-01],\n", - " [1.6836e-02, 4.9193e-06, 1.6795e-04, 9.8299e-01]],\n", + " [5.3935e-03, 1.9782e-06, 1.2804e-04, 9.9447e-01],\n", + " [5.3935e-03, 1.9763e-06, 1.2792e-04, 9.9447e-01],\n", + " [5.3935e-03, 1.9743e-06, 1.2779e-04, 9.9447e-01]],\n", " grad_fn=)" ] }, "metadata": {}, - "execution_count": 11 + "execution_count": 18 } ], "source": [ @@ -320,7 +368,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -328,17 +376,17 @@ "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9823e-01, 1.7682e-03, 0.0000e+00],\n", - " [1.0000e-01, 8.9647e-01, 3.5312e-03, 1.7500e-06],\n", + " [1.0000e-01, 8.9820e-01, 1.7961e-03, 0.0000e+00],\n", + " [9.9999e-02, 8.9641e-01, 3.5868e-03, 1.7949e-06],\n", " ...,\n", - " [5.2090e-02, 1.4850e-01, 4.3960e-01, 3.5981e-01],\n", - " [5.2049e-02, 1.4825e-01, 4.3946e-01, 3.6024e-01],\n", - " [5.2008e-02, 1.4800e-01, 4.3932e-01, 3.6068e-01]],\n", + " [3.3881e-02, 1.5089e-01, 4.4667e-01, 3.6856e-01],\n", + " [3.3837e-02, 1.5063e-01, 4.4653e-01, 3.6900e-01],\n", + " [3.3792e-02, 1.5037e-01, 4.4638e-01, 3.6945e-01]],\n", " grad_fn=)" ] }, "metadata": {}, - "execution_count": 12 + "execution_count": 19 } ], "source": [ @@ -348,15 +396,15 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 20, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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e/ncDBAusrkpERKqBQYMG0aFDB5599tkKew+FkeoiMRVueB88SZC2HGb8DCJhq6sSEZFqYOLEibz22mvs3bu3Qn6+wkh1ktIBxk8Fuwu2fATzHtMcJCIiUmJvvfUWM2fOPKX9+uuvx+/306RJkwp5X4WR6qbFQBjzT/Px6ldg+cvW1iMiIvIjFEaqo07XwLA/mI8XPAEb37O2HhERkbNQGKmu+twLl/yf+fije2DH59bWIyIicgYKI9XZsGegw1iIhMxF9dI3Wl2RiIjIKRRGqjO73Rw/ckF/COTAOz+B43usrkpERKQYhZHqzumB696B+h0g5xBMHQd5x6yuSkSk2jNqyNWM5fE5FUZqghgv3Phh4aRo38E714A/2+qqRESqpaIVbvPy8iyu5Pwo+pznsrKvpoOvKZIawoTp8MblsH+tOUvrDR+YPSciIlJuHA4HycnJHD58GIC4uDhsNpvFVZU/wzDIy8vj8OHDJCcn43A4yvyzFEZqknptzB6Sf18NuxbDtDvgJ2+Z69uIiEi5SU1NBYgGkuosOTk5+nnLymZUgZNaPp8Pr9dLVlYWSUlJVpdT9e1cZA5mDQeg6wS4+m9QDVO7iIjVwuEwwWDQ6jIqjMvlOmuPSEm/v9UzUhO1GATXvAHv3wTr/wOxtWBYxS0NLSJSUzkcjnM6fVFTaABrTdXuKriqcKr45S/DshetrUdERGoshZGarNsEuKywR+Sz38Hat6ysRkREaiiFkZqu7/3Q7yHz8ZyHYPNMS8sREZGaR2FEYOiT0P0WMCLmFTbfLbC6IhERqUEURsS8kmbkC9BhDESC8N6NsHOx1VWJiEgNoTAiJrsDxr4Gba6AUAG8+1NIW2l1VSIiUgMojMgJDhdc8yZcOASCueZcJPvXWV2ViIhUcwojUpwrBsa/A836gd8H/xkDB7+xuioREanGFEbkVO44uP5/0PhiKMiEt0fBkW1WVyUiItWUwoicnicRbvgQUi+CvAxzPZujO6yuSkREqiGFETmz2GSYMBPqt4ecg2YPSeZeq6sSEZFqRmFEzi6+jhlI6rSErL3w76vAd8DqqkREpBpRGJEfl5gCN82C5GZwfBe8NVKBREREyo3CiJSMtxHcPBuSm8KxnQokIiJSbhRGpORqNYOb5yiQiIhIuVIYkdKp1Qxu+bh4IMnab3VVIiJShSmMSOklNy0eSP59pQKJiIiUmcKIlI0CiYiIlBOFESm7aCBppkAiIiJlpjAi5ya5Kdwy50QgeWskZO2zuioREalCFEbk3J0cSI7vgjdHwLFdVlclIiJVhMKIlI/kpnDrXKjdAjLT4M0r4Mh2q6sSEZEqQGFEyo+3Mdz6CdRrC9kH4K0r4OA3VlclIiKVnMKIlK/EVLhlrrnab+4Rc1Dr/nVWVyUiIpWYwoiUv/g65tTxjS+G/OPmar9pK62uSkREKimFEakYsckwYQY06wd+H/xnDOxcbHVVIiJSCZUpjEyePJnmzZsTExND9+7dWbp06Vn39/v9PP744zRr1gyPx8OFF17IG2+8UaaCpQrxJMINH8CFQyCYB+/8BLbPt7oqERGpZEodRt577z0efPBBHn/8cdavX0///v0ZMWIEaWlpZ3zNtddey8KFC3n99dfZtm0b7777Lm3btj2nwqWKcMfBT/8HbUZC2A//ux42z7S6KhERqURshmEYpXlBr1696NatG1OmTIm2tWvXjtGjRzNp0qRT9p83bx7XXXcdO3fupHbt2mUq0ufz4fV6ycrKIikpqUw/QywWDsKMu+CbaWCzw5UvQvdbrK5KREQqUEm/v0vVMxIIBFi7di3Dhg0r1j5s2DCWL19+2tfMmjWLHj168Kc//YlGjRrRunVrfvnLX5Kfn3/G9/H7/fh8vmI3qeIcLhj7GnS/FYwIzH4Alr4ApcvCIiJSDTlLs3NGRgbhcJiUlJRi7SkpKRw8ePC0r9m5cyfLli0jJiaGGTNmkJGRwT333MOxY8fOOG5k0qRJPPXUU6UpTaoCu8PsEYmrDUv/AgufgvxjcNnvwWazujoREbFImQaw2n7wxWEYxiltRSKRCDabjXfeeYeePXtyxRVX8MILL/DWW2+dsXfkscceIysrK3rbu3dvWcqUyshmg6FPwLA/mM+X/w0+uhfCIWvrEhERy5QqjNStWxeHw3FKL8jhw4dP6S0p0qBBAxo1aoTX6422tWvXDsMw2Lfv9AuqeTwekpKSit2kmulzL4yaDDYHbJgKH9wMwQKrqxIREQuUKoy43W66d+/OggULirUvWLCAPn36nPY1ffv25cCBA+Tk5ETbtm/fjt1up3HjxmUoWaqNrjfA+P+AwwPfzoF3roECjQ8SEalpSn2aZuLEifzrX//ijTfeYOvWrTz00EOkpaVx9913A+Yplptuuim6//XXX0+dOnW49dZb2bJlC0uWLOHhhx/mtttuIzY2tvw+iVRNbUfCjdPAnQi7l5rTx+dmWF2ViIicR6UOI+PHj+ell17i6aefpkuXLixZsoS5c+fSrFkzANLT04vNOZKQkMCCBQvIzMykR48e3HDDDVx11VW8/PLL5fcppGpr3h9umQ1xdSB9I7x+GRzbaXVVIiJynpR6nhEraJ6RGiLjO5g6FjLTIK4u3PA+NOpudVUiIlJGFTLPiEiFqtsKbv/MXPE3LwPeuhK2f2p1VSIiUsEURqRySUyBW+fChUPN9Wze/Smse9vqqkREpAIpjEjl40mE69+DzteDEYZZ98EXkzRbq4hINaUwIpWTwwWjJ8OAh83ni5+DWfeaa9yIiEi1ojAilZfNBkN+Y04hb7PD+qnmaRt/zo+/VkREqgyFEan8etwG1/0XnLHw/QJ4ayRkn34tJBERqXoURqRqaDMCbplTOBfJBnhtKBzabHVVIiJSDhRGpOpo3APu+AzqtALfPnh9OHy34MdfJyIilZrCiFQttVvAHQvggv4QyIb/XgurX7O6KhEROQcKI1L1xNaCG6dD1xvBiMDcX8Inj0AkbHVlIiJSBgojUjU53XD13+HS35nPV/2z8EqbbEvLEhGR0lMYkarLZoN+D8FP/g3OGPjuU3hjBGTts7oyEREpBYURqfo6jIZb5kJ8fTi0ybzSZv86q6sSEZESUhiR6qFxd7hzIdRvDzkH4c0RsOlDq6sSEZESUBiR6iO5Kdz2KbQaBqECmHY7fPYURCJWVyYiImehMCLVS0wS/PR/0PdB8/myF+B/P4UCn6VliYjImSmMSPVjd8BlT8HY18yBrdvnwb8uhaM7rK5MREROQ2FEqq+LroVb50JiA8jYBq8NgR1fWF2ViIj8gMKIVG+NusPPFkHji6EgE6aOhZVTwDCsrkxERAopjEj1l5gKN8+BLjeYM7bOexRm3Qshv9WViYgICiNSU7hiYNQ/YPizYLPD+qnm5b+aIE1ExHIKI1Jz2GzQ+//ghg/N9W32r4VXBsLOxVZXJiJSoymMSM3Tcqg5jiT1IsjLgP+Mhi//qnEkIiIWURiRmqnWBXD7/BPjSBY8AR/crIX2REQsoDAiNZcr1hxHMvIFsLtgy0fmujZHtltdmYhIjaIwIjWbzQYX3w63fgKJDU/MR7JlltWViYjUGAojIgBNLoa7FkOzfhDIhvcnwIInIRyyujIRkWpPYUSkSEJ9uOkj6H2v+fzLl+DtUZB90NKyRESqO4URkZM5nDD8D3DNG+BOgD3L4J/9YOciqysTEam2FEZETqfjOPPy35SOkHsE3h4NX0yCSNjqykREqh2FEZEzqdsK7vgMut0EGLD4OfjPGMg5bHVlIiLVisKIyNm4YuHqv8GYV8EVB7sWm6dtdi21ujIRkWpDYUSkJDqPN0/b1GsHOYfg7ath8fMQiVhdmYhIlacwIlJS9drAnQtPzNr6xTPwzjidthEROUcKIyKl4Y6H0ZNh1GRwxsKOz2FKX/h+odWViYhUWQojImXR9Qb42RdQvz3kHoapY+HTxyEUsLoyEZEqR2FEpKzqt4M7P4eL7zCfr/g7vH4pZHxvbV0iIlWMwojIuXDFwsi/wHX/hdhakL4RXhkA66eCYVhdnYhIlaAwIlIe2o6Eny+HC/pDMBc++j/48DbIz7S6MhGRSk9hRKS8JDU017YZ+gTYHLB5OvyzP6StsroyEZFKTWFEpDzZHdD/F3Dbp5DcDLLS4M0R5lTy4aDV1YmIVEo2w6j8J7Z9Ph9er5esrCySkpKsLkekZAqy4ONfwKYPzOcNu8LY18xp5kUqAcMwCBkhwpEwoUjIvBmh6OOIUbpJ/WzYcNgdOGwOHHYHLrsr+thpd+K0ObHZbBX0aaQyKun3t8KISEXb9CF8PNEMJ85YuOxp6Hkn6Jey/IhwJExOMIfcYC7ZgezijwM55ARzyAvlURAqMG/hE/f+kJ/8cD4FoQL8YT/5oXwC4QDBSPBE+DBC5/0z2W12nDanGVBsTlwOFzGOGNwONzHOGDwOzynPozeneR/rjCXeGU+cK454V3z0FueKI85ptsU543DYHef980lxCiMilUnWfnNQ684vzOcXDoFR/zDHmUi1ZxgGeaE8jhccJ9OfGb0vepzlz+K4/8Q2n98XDRrnmw2b2Ythd2K32bFR8tAcMSJEjEi0d8Vqsc7YaDiJd8WT4E4gyZ1EojuRJHeSefMknfI40Z2I1+3F5XBZ/RGqPIURkcomEoGvXoMFT0CoAGKS4coXoOM4qyuTMjIMA1/Ax5G8IxzOP0xGfgZH8o6QkZ/B4bzC5/lHOJJ3hIJwQZnfx+PwEO+KJ9GdaN67EklwJ0R7AGJdscQ4Yohxxpx6f9Jjj8MTDRpOm/PE45Payqs3wTCMaDAJR8LRgBKOhAkbYYKRIKFIiGAkiD/kpyBcQCAciPbq+MMnbkW9O0W3/FA+ucFccoO55AXzzPtQXvR5efX4xDpjzWDi8VLLU4tkTzK1YmpRO6Y2tWJqmTdPrWib1+PFZVeAOZnCiEhldWQ7TL8T0jeYzzteAyP/bM5TIpVKMBLkcN5hDuQc4GDuQQ7kHCA9N5303PRoW2lChsfhiX6hJXuSqeWpZX7RxdQq1u71eEl0JRLvNoOH/kIvOcMwCEQCp4SV3GAuOcEcfH4f2cFsfH4fvkDh7QePs4PZZX7/RHeiGVYKQ0qtmFrUialD3di61I2tS724etSNqUud2DrEueLK8ZNXTgojIpVZOAhLnoclfwYjDIkNYfQ/zNM3cl7lBfNIy04jzZdW7H5f9j6O5B8p0SBOr8dLvdh65pdNbD3qxtWlfmx96saZz4u21YQvn+qgaKyOz+/DF/SZp9EKT60dKzjG8YLj5s1/PPo405+JQem+TuOccdSLqxcNK/XizH8nP3xeO6Y2dlvVvPhVYUSkKti3Bqb/DI7tMJ93vwUu+z3E6N95eQpFQuzN3suOzB3s9u1mj29PNHRk5Gec9bUuu4sG8Q1okNCABvENaBjfsNjj+vH18Tg85+mTSGUVjoTxBXwcLzhuBpaTgkpGfgZHC44WO41Xmh41p81Jvbh6pMSlUD+uPinxKaTEpZy4j0uhXmy9StmDpjAiUlUEcuGz38HqV83n3iZw9cvqJSmDYCRImi+NHZk72JG1w7wvDCBnG1CZ7EmmaVJTmiY2jd43TmxMw/iG1ImtU2X/KpXKqWhAczScFGRwNP9oNKhkFGSQkZdBRn4GxwqOlajHxYaN2jG1iwWUkx+nxqeSEp9y3oOzwohIVbNrKcy6F47vNp93uxmGPaNekjPILMhk67GtbDu2ja3HtrL9+HZ2Z+0+4+DFWGcsLbwtaO5tTrOkZtHg0SSxCV6P9zxXL1IyoUiIjPwMDuUd4lDuIQ7nHY4+PpRn3g7nHSYYKdmkinVi6hTr6Su6pSak0iyxGQnuhHKtX2FEpCoK5MJnT8HqV8znSY3h6r9Cy0utrctChmFwIPcA3x79tlj4OJR36LT7xzpjudB7IRcmF781iG+gHg6pliJGhOMFx08bVIqel2Sw9VN9nmJsq7HlWltJv7+d5fquInJu3PFwxZ+g/dXmvCTHd8PUcdB1Agz/A8RU/7/gMwsy2ZSxKXr7JuMbMv2Zp923SWIT2tZuS5tabWhbuy2tarUiNT5VoUNqFLvNTp3YOtSJrUO7Ou1Ou49hGGT6M6NXgx3MPUh6zkmPc9NpEN/gPFd+gnpGRCqrQC4sfBpW/dN8ntQIrnoZWlWfXpJAOMC3x75lU8Ymvj7yNZsyNrE3e+8p+zntTlomt6Rt7bbRW+tarUl0J1pQtYiUlE7TiFQXu78s7CXZZT6/6DoY/izE17G2rjLIDeay8fBG1hxaw7rD6/gm4xv8Yf8p+12QdAGd6naiY92OXFTvItrUalMprxQQkbNTGBGpTgJ58PnvYeUUwIC4OnD5c9DpJ5V6jZtjBcdYd2gdaw+tZd3hdXx77NtT5u2o5alFp3qd6FS3ExfVvYgOdTtoQKlINaEwIlId7f0KZt8Ph7eYzy8cCle+CLWaWVtXoZxADmsOrWFl+kpWpa/i+8zvT9mnUUIjuqd0p1v9bnRL6cYFSRdoJVeRakphRKS6CgVg+V9h8fMQ9oMrDgY/Dr3uBsf5HZMeDAfZeGQjqw6uYuWBlWzK2ETYCBfbp2Vyy2LhIzU+9bzWKCLWURgRqe4yvofZD8CeZebzBl3g6r9Bg4sq9G33Zu9lyb4lLNu/jLWH1pIfyi+2vWliUy5pcAm9GvSiZ2pPkmOSK7QeEam8FEZEaoJIBNb/B+b/FvxZYHNAn3th4KPgLp91UILhIGsPr2XJviUs3beU3b7dxbbXjqlNr9ReXNLQDCCNEhqVy/uKSNWnMCJSk2QfhE9+BVs+Mp8nN4Mr/gyth5Xpxx3JO8LS/UtZsm8JKw6sIC+UF93mtDnpmtKV/o3606dhH1rVaqV5PUTktBRGRGqib+fC3F+Cb7/5vO2VMOKP4G38oy/d69vLwrSFfJb2GRuPbCy2rXZMbfo36s+AxgPo3bC35vcQkRJRGBGpqfzZsPiPsGIyGGFwxcOgR+CSe+CkuToMw+C7zO9YuGchC9MWsu34tmI/pmOdjgxoPIABjQfQrk479X6ISKkpjIjUdIc2w8e/gLQV5vN67TBG/oUtCcl8uudTFu5ZSFp2WnR3h81Bj5QeDG02lCFNhpASn2JR4SJSXSiMiIg5wHXju+z8/AnmOoJ8khBHmutE74jb7qZPwz4MbTaUQY0H6coXESlXJf3+LlO/6+TJk2nevDkxMTF0796dpUuXluh1X375JU6nky5dupTlbUWkFA7kHOD1zW9yzd4ZjKobxyu1vKS5XMREIgzPD/LnxiNZcu0i/jb0b4xuOVpBREQsU+oZkt577z0efPBBJk+eTN++fXnllVcYMWIEW7ZsoWnTpmd8XVZWFjfddBNDhw7l0KHTL/0tIucmy5/Fp7s/ZfaO2Ww4siHa7rQ56dOoDyOS2jBk7fvEHdwEB6fAjpUw4nlocrF1RYtIjVfq0zS9evWiW7duTJkyJdrWrl07Ro8ezaRJk874uuuuu45WrVrhcDiYOXMmGzZsKPF76jSNyJmFI2FWpK/go+8/4vO0zwlEAgDYsNEjtQcjmo/gsqaXnej5CIdgzevw+TPg95ltnX8Kl/4OEjU7qoiUn5J+f5eqZyQQCLB27VoeffTRYu3Dhg1j+fLlZ3zdm2++yY4dO5g6dSrPPPPMj76P3+/H7z+xkqfP5ytNmSI1ws6sncz6fhazd8zmcP7haHvL5JaMbjmayy+4/PSDUB1O6HUXdBgDC5+C9VNh47uwdTYMeBgu+Tk4Pefxk4hITVeqMJKRkUE4HCYlpfgvuJSUFA4ePHja13z33Xc8+uijLF26FKezZG83adIknnrqqdKUJlIj5AXz+GTXJ0z/fjpfH/k62u71eLmi+RWMbjmadrXblWzhuYT6MOof0P02c8K0/Wvgsydh3dvmisBlnDBNRKS0yrSq1g9/0RmGcdpffuFwmOuvv56nnnqK1q1bl/jnP/bYY0ycODH63Ofz0aRJk7KUKlItfHf8O97f9j5zds4hJ5gDmJfi9mvUj1EtRzGw8UDcDnfZfnjj7nD7Avj6PTOMHNsB//0JtBoGwydB3Zbl+ElERE5VqjBSt25dHA7HKb0ghw8fPqW3BCA7O5s1a9awfv167r33XgAikQiGYeB0Opk/fz5Dhgw55XUejwePR93EUrP5w34W7FnAB9s+YN3hddH2JolNuKb1NVzV4irqxdUrnzez26HLT6HtSFjyPKycAt/Nhx1fmKdtBjwMMRqvJSIVo1RhxO120717dxYsWMCYMWOi7QsWLGDUqFGn7J+UlMSmTZuKtU2ePJnPP/+cDz/8kObNm5exbJHqa69vL+9vf5+Z388k058JmL0gQ5oO4Setf0KvBr0qbjbUmCQY9nvodjN8+pgZSJa/bI4pGfxr6HqTOeZERKQclfq3ysSJE5kwYQI9evSgd+/evPrqq6SlpXH33XcD5imW/fv38/bbb2O32+nYsWOx19evX5+YmJhT2kVqMsMwWH1wNVO3TGXxvsUYmBe5pcSlcE3raxjbaiz14+qfv4LqtoQbPoDtn8K8x8xTN3MeglWvwrBnoNWl568WEan2Sh1Gxo8fz9GjR3n66adJT0+nY8eOzJ07l2bNmgGQnp5OWlraj/wUEQHzVMzcnXP5z9b/8N3x76Lt/Rr1Y3yb8fRr1A+n3cKeiNbDocVgWPMGLH4OjmyFd8bBhUPMUJLSwbraRKTa0HTwIhY4kneE97a9xwfbP+BYwTEAYp2xjLpwFNe3u57m3kp4CjP/OCz5M6x6BSJBsNmh6wQY/Dgkah0bETmV1qYRqYR2Zu7kzc1vMmfnHEKREAAN4htwfdvrGdNqDF6P1+IKS+DYTvjsd7DlI/O5OwH6Pgi9/w/ccVZWJiKVjMKISCXy9ZGveeObN/g87fPoeJCu9btyY7sbGdJ0iLWnYsoqbSV8+mvYv9Z8ntQIhvwWLroW7A5raxORSkFhRMRihmGw4sAKXv/mdVYfXB1tH9JkCLd1uo3O9TpbWF05iURg83SzpyRrr9lWvwNc+qQ5T0lJJl8TkWpLYUTEIuFImAVpC3hj0xtsPbYVMBeqG9liJLd1vI0WyS0srrACBAtg1RRY+iL4s8y2pn3gsqegSU9raxORMzLCYXJXrsQ3azYpv3kcR2Jiuf58hRGR8ywcCTN/z3z+ufGf7MzaCZiDUq9pfQ03tb+J1PgasAhd3jFY9qI5yDVcuL5Um5Ew9Amo39ba2kQkyr9zF1kzZ5I1axahwolMU59+ilrXXluu76MwInKenC6EJLmTuLHdjfy07U9PrJZbk2Tth0WTYMM7YETMK286Xw+DHwNvY6urE6mRwllZ+ObOJXPmTAo2nljbyu71knTFCGpd91Ni2pR86ZaSUBgRqWARI8L83WYI2ZG1A4BEdyI3t7+Z69tdT6K7fLs7q6Qj22Dh0/DtHPO5wwM974T+v4C42tbWJlIDGKEQOUuXkjXzI3I+/xwjGDQ3OBwk9O+Pd/RoEoYMxu4u49pWP0JhRKSCRIwIC/YsYMqGKcVCyE3tb+KGdjcohJzO3q/MQa57lpnPPV7ocy/0ultr3ohUgIJt28iaMZOs2bMJHz0abfe0aYN39Gi8V12Js27dCq9DYUSkAqw4sIKX1r3ElqNbAEh0JTKhwwRubHejQsiPMQz4/jMzlBz6xmyLrQV9H4CePwN3vKXliVR1oaNH8c2ZQ+bMj/Bv3Rptd9SujfeqK/GOHk1Mu3bntSaFEZFytPnoZl5a+xIr01cCEOeM4+YON3Nj+xtJcuvfZKkUXQ686Dk4WjgFfnw96PcQ9LgNXLHW1idShUQCAXK+WETWzJnkLF0KIXMyRZvLRcLgweZpmP79sLlcltSnMCJSDvb49vC39X/j092fAuC0OxnfZjx3drqTOrF1LK6uiguHYNMH5po3x3ebbYkNzPEk3W4Cp8fS8kQqK8MwKPhmM1kzZuD7+GPCWVnRbTEXXYR39Ci8V1yBIznZuiILKYyInIOM/Az+ufGfTNs+jZARwoaNkS1G8n9d/o/GiboapFyFg7Dhv7Dk+RMTp3mbwIBfQpcbwGHNX3QilU0oI4OsWbPJmjEd/3ffR9ud9evjHXU13tGj8Vx4oYUVnkphRKQM/GE//9nyH177+jXyQnkA9G/Unwe6PUCb2m0srq6aC/lh3duw9C+QnW621boABj4Cna4FRxWcMl/kHBmBANmLF5M1fQY5S5ZAOAyAzeMh8dJL8Y4ZQ3zvS7A5KucSDAojIqVgGAYL9izghbUvsD9nPwCd6nZiYveJ9EjtYXF1NUwwH9a8CctegNwjZlut5tB/Ilx0HTgr5hJEkcqk4NtvyZw+Hd/sOYSPH4+2x3bujHfMGJKuGIGjCnwfKoyIlNDmo5v50+o/se7wOgDqx9Xnoe4PcUXzK7Db7BZXV4MFcmH1a7D8ZcgrvDTR2wT6PQhdJ2hMiVQ7oePH8c2eQ+aMGcWuhnHWq2eehhkzptKdhvkxCiMiP+JI3hH+uu6vzNoxCwODGEcMt3W8jZs73EycK87q8qRIINfsKVn+MuQcMtsSG5qXBHe/WVffSJUWnZRs+gyyFy2CwknJbC4XCUOHkjxmNPF9+2JzVs3TlAojImcQjAT579b/MnnD5Oi4kCtbXMkD3R6oGevHVFXBfHNMybKXIPuA2RZfH/rcZ14S7EmwtDyR0vB//z2Z02eQNWsW4YyMaHtMhw7maZiRV+CsVcvCCsuHwojIaaw9tJZnVj7D95nmSPSL6l7EIz0f4aJ6F1lcmZRYyG+uebP0RchKM9tia0Pv/zMnT9OMrlJJRdeGmT6Dgk2bou3mpGRX4R07hpg21WugvMKIyEky8jN4ce2LzNoxC4BkTzIPdX+I0S1Ha1xIVRUOwtfvmVffHDMXKCTGCxffaU4zn1DP2vpEACMcJnf5CrJmTCf7s4UYgYC5wekkYeBAkseOIWHAAMsmJatoCiMiQCgS4v1t7/P39X8nO5iNDRvjWo/jga4P1MzVdKujcMic0XXJ85Cx3WxzxkDXG6H3vVC7ubX1SY3k37XLXBvmo48IHToUbfe0bo137Bi8V12Fs071nzhRYURqvC1Ht/C75b9j6zFzVHr7Ou35Ta/f0KleJ4srkwoRicC2j2HZi7B/rdlms0OHseYVOKn67y4VK5yTg++TT8iaMZP8deui7Q6vl6QrrzRPw7Rvj81ms7DK80thRGqs/FA+kzdM5u0tbxMxIiS6E3mg6wNc0/oaHPbKOTGQlCPDgN3LzFCyY+GJ9paXmuvfNOsLNejLQCqWEYmQt3q1OTX7p/MxCgrMDXY78f37kTxmLAlDBmN318z5cRRGpEZamb6Sp5Y/xb6cfQCMuGAEv+r5K+rGVvxS2VIJpW+EL/8Km2eAETHbGvUwQ0mbK8Cu8UJSNoF9+8zTMDNnEty/P9rubtGC5LFjSLrqalwp9S2ssHJQGJEaJcufxZ/X/JmZ388EICUuhd9e8lsGNhlobWFSORzbCcv/bl6FEyr8y7Vua/MKnIvGa64SKZFIXh6++fPJmj6DvNWro+32hASSRo4kecxoYjp3rlGnYX6MwojUCIZh8OmeT5m0ahLHCo5hw8Z1ba/j/q73k+DWvBPyAzmHYdU/YfW/wF+40mlcXbj4DvOmK3DkBwzDoGDjRjKnTcP38VwieebcRNhsxPfujXfMGBIvuxR7TIy1hVZSCiNS7R0rOMYzK59hwZ4FALTwtuCpPk/RpX4XawuTyq/AB+v/Ayv/eWKuEocHLrrW7C2p387a+sRyoYwMsj6aReb06QR27Ii2u5o2JXnMaLyjRuFq2NDCCqsGhRGp1hbuWcjTK5/mWMExnDYnd1x0B3d2uhO3o2YOEpMyCofg29nmKZz9a060t7zUDCUtBmuwaw1SNDV75rRp5CxaDKEQALaYGJKGD8c7bixxF1+s0zCloDAi1VKWP4vnVj/HnJ1zAGiZ3JJn+z1Luzr6S1bOUdoqWPF3+HbOicGu9duboaTTT7QwXzXm37WLrOkzyJo5k9CRI9H2mM4XkTx2nLlCbmKihRVWXQojUu0s27+MJ798ksP5h7Hb7Nza4Vbu6XKPekOkfB3bBateMU/jBHLMtvj6cPHt0P1WSEyxtj4pF5HcXHyfzidz+jTy16yNtjtq1cI7apQ5J0jr1hZWWD0ojEi1kRvM5fmvnmfad9MAuCDpAp7p9wyd63W2uDKp1vIzzYX5Vv0TfIWXbtpd0H4U9LoLGl+sUzhVjGEY5G/YQNb06cUHoxbNCTJuHImDBmGroXOCVASFEakWNh3ZxCNLH2Fv9l4Abmx3I/d3u59Ypy7FlPMkHIQtH8HqV2HvqhPtDbqYoaTDWHDpSorK7KyDUceOxTtmNK4U9XhVBIURqdLCkTBvbn6Tf6z/ByEjRGp8Ks/2e5aLUy+2ujSpyQ5sMEPJpg8h7Dfb4upA91ugx+3gbWRldXISDUatHBRGpMo6mHuQXy/7NV8d/AqA4RcM57eX/Bavx2txZSKFcjNg3b/hqzfAZ872i80B7a6Enj/TlPMWMgejTidz5kzCRzKi7RqMag2FEamSPtvzGU8ufxJfwEesM5bHej7G6Jaj9deLVE7hEGyba/aW7F56oj2lI/S4zZy3xKMvvooWHYw6bRr5azUYtTJRGJEqJS+Yx/NrnufD7R8C0KFOB/444I80S2pmcWUiJXRosxlKNr4HoXyzzZ0Ana4xg0kDDbguT0WDUTOnTSN77icajFpJKYxIlbEjcwe/WPQLdmTtwIaNWzveyr1d7sXlcFldmkjp5R+HDf+FNW/C0e9OtDfqboaSDmPBHWddfVWcBqNWLQojUiXM3jGb36/8PfmhfOrF1uPZ/s9ySYNLrC5L5NwZBuxeBmvegK2zIRI02z1e6PJTc86S+m2trbGKMEIhcpYsJXP66QejJl8zjtgePXQ6txJSGJFKrSBUwHOrn4vOHXJJg0t4rv9z1ImtY3FlIhUg5whsmGr2lmTuOdHetI/ZW9L+as3weho/Ohh15BU4ErQgZmWmMCKV1h7fHn6x6BdsO74NGzZ+3vnn/Oyin+GwO6wuTaRiRSKw83MzlGz7BIyw2R5XBzr/FLreWOMX6fuxwajJ48biadXKwgqlNBRGpFL6dPenPLn8SXKDudSOqc1z/Z+jd8PeVpclcv75DsC6/5iXCBfN8ArQqAd0m2COLYmpGb/vzjYYNaF/f7zjxmowahWlMCKVSjAS5IU1LzB161QAuqd0508D/kT9uPoWVyZisXAIvv/MXAtn+zyImOMhcMVB+9FmMGnau1rOW3LGwajNmpI8dhze0aM0GLWKUxiRSuNo/lEeXvJwdBKz2zvezr1d78Vpd1pcmUglk3MYNr5r9picfCVOnZbmKZzOP4XEVOvqKwfRwajTppGzWINRqzuFEakUNmds5sFFD3Iw9yBxzjie7fcsQ5sNtboskcrNMGDvalj/NnwzA4K5ZrvNAa2Gmb0lrYZBFbr83b9zF1kzNBi1plEYEcvN/H4mv1/xewKRABckXcBfB/+VFsktrC5LpGrx58DmGeZpnJMX6ouvBx2vgc7XmROqVcKehEhuLr55n5I5fXrxwai1a+O9+moNRq0BFEbEMsFIkOe/ep53v30XgEGNB/Fs/2dJdGtabJFzcmQbrJ9qnsrJPXKivV47M5RcdC0kNbSuPgoHo67fQOZ0DUYVhRGxyNH8o0xcNJF1h9cBcE/ne7ir813YbXaLKxOpRsJB2PGFGUq+/fjECsLYoMUgc2xJuyvBHX/eSjIHo35E5rTpBHbujLafGIw6GleKBqzXNAojct59d/w77vv8Pvbn7CfBlcCz/Z5lcNPBVpclUr3lZ8KWmbDxf5C24kS7OwHaXW32mFzQH+zl/wfBGQejxsaag1HHjdVg1BpOYUTOqyX7lvCrJb8iN5hLk8Qm/H3o32nh1fgQkfPq2C74+n2zx+T4rhPtSY3NUzgXXVsuk6qddWbUceNIukKDUcWkMCLnhWEY/GfLf/jL2r8QMSJcnHoxLwx8geSYZKtLE6m5iq7G2fgubJ4OBVknttXvAJ3GQcdxUOuCEv/ISF5e4WDUaeSv0cyoUjIKI1LhgpEgf1j5h+j6MuNajePxXo9rtV2RyiRYYE6m9vV78N2CEwv2ATTuCZ2ugQ5jIOHU8RyGYVCwcSOZ06bjmzuXSG7hJcZ2O/H9+5E8bpwGo8pZKYxIhcryZzFx0URWH1yNDRu/7PFLJrSfoHPDIpVZ/nFzBeFNH8CupUDhr3+bHZoPNINJu6sI5YXNmVGnfUjg+5NmRm3alOSxY82ZUVOr9uRrcn4ojEiF2evby88X/pw9vj3EOeN4fuDzDGg8wOqyRKQ0sg+a85ds+gD2r8WIQO5BD5m7Esje74GIuZvN4yFx+DCSx11D3MU9sFXAQFipvkr6/a35uKVUNh3ZxL2f38uxgmM0iG/A34f+nda1WltdloiUVmIqXPJzAg1Hkjn1dbJmzSGUmRfdHFM7QHKrMEnDeuHoNgBadqqQK3JEQGFESmHR3kU8vPhhCsIFtKvdjsmXTqZubF2ryxKRUork55M9fz6Z06aTt3p1tN3h9ZJ0aV+SW4WIOf45ZKXBdzPMmzsBWg83F+9rdRm4Yq37AFLtKIxIiby/7X3+sOoPRIwIfRv15S8D/0K86/xNqCQi58YwDAq++YbMD6fh+/hjIjk55gabjfi+fUm+ZhwJQ4ZgLxqMahiw7yvYPBO2fAS+ffDNNPPmiofWwwqDyTBwx1n1saSa0JgROSvDMHh5/cv8a9O/ABjTcgy/7f1bXHZdMSNSFYSOH8c3ezaZH07Dv317tN3VqBHesWNIHjMGV8MfmULeMGD/WnOMyZZZZo9J9AfFmYGk/Siz5+Q8zvoqlZ8GsMo5C4aDPLH8CebsnAOYU7vf3fluXTEjUskZ4TC5y1eYM6MuXIgRNC/ntbndJF52GcnXjCOuV6+yDUY1DDiwrrDHZCZknhRMnLHmKZz2o8yAEqPf1zWdwoick7xgHg988QAr01fisDl4sveTjGk1xuqyROQsAvv2mTOjzphJKD092u5p347kcePwXnklDq+3/N7QMODAevM0zpaZcHz3iW12F7QYCG1HQpuRkJhSfu8rVYbCiJRZZkEm9yy8h00Zm4h1xvLCoBfo16if1WWJyGlECgrIXvAZmdOmkbdyZbTd7vXivfJKkseNJaZ9+4ovxDAgfaMZSrbOgaPfnbTRBo0vNoNJu6ugzoUVX49UCgojUiaHcg9x14K72JG1A6/Hy5ShU+hUr5PVZYnID+Rv3kzWtGlkzfmYiM8XbY/v0xvv2HEkXnYpdo/HugKPbIdv55i3/WuLb6vXFtpeaYaThl1Bp36rLYURKbU9vj38bP7POJB7gPpx9Xn1sle5MFl/wYhUFuHMTLLmfEzmtGn4t26NtjsbNCB5zBi8Y8fibtzIwgrPwHcAts01e0x2L4VI6MS2pEZmKGk7Epr1BS0nUa0ojEipfHvsW+5acBfHCo7RLKkZr172Kg0TfmSEvYhUOCMSIW/lSjI/nEb2Z59hBAIA2FwuEi4dSvK4a4jvfQk2h8PiSksoP9NcI+fb2fDdZxDMPbHNkwQth0Lry6HlZRBfx7IypXwojEiJrT20lnsX3ktOMIe2tdsy5dIpmsxMxGLBAwfInD6DrOnTCR44EG33tGlD8rhxJF11Jc5atSyssBwEC2DXYnO9nG2fQF7GiW02u7mQX+vhZjip306nc6oghREpkaX7lvLQoofwh/10q9+Nvw/9O4nuRKvLEqmRIoEAOZ99RuaH08hdscIcFArYExNJunIkyWPHEdOxQ/W8vD4SMS8Z3vYJbP8UDm0qvj25qRlKWg+HZv3AFWNNnVIqFRpGJk+ezPPPP096ejodOnTgpZdeon///qfdd/r06UyZMoUNGzbg9/vp0KEDv/vd7xg+fHi5fxgpnYVpC/nl4l8SioQY2Hggfx74Z2Kc+h9c5Hwr+PZbMqdNxzdrFuGsrGh7XK9eJI8bS+Jll2GPrWHTr2ftM0PJ9k/N3pNQwYltrni4cLAZTFoNM9fZkUqpwsLIe++9x4QJE5g8eTJ9+/bllVde4V//+hdbtmyhadOmp+z/4IMP0rBhQwYPHkxycjJvvvkmf/7zn1m1ahVdu3Yt1w8jJffp7k95dMmjhIwQwy8YzqT+kzSrqsh5FM7MJOvjj8maPoOCzZuj7c6UFLxjRpM8dizu0/xOrZECeWYg2T7PDCfZ6cW3N+gMLS81b417gkMrnVQWFRZGevXqRbdu3ZgyZUq0rV27dowePZpJkyaV6Gd06NCB8ePH88QTT5Rof4WR8jVn5xweX/Y4ESPCVS2u4um+T+O0639ekYpmzoy6nMzp08n57MTMqLhcJA4eTPI144jv27fqDEa1gmHAwa8Le03mnXrZsMdrTrbW8lJzMKy3sTV1ClDy7+9SfQMFAgHWrl3Lo48+Wqx92LBhLF++vEQ/IxKJkJ2dTe3atc+4j9/vx+/3R5/7TrqGXs7NjO9m8OTyJzEwGNNyDE/2fhKHXb/4RCpSYPduMmfMJOujjwgdPBht97RpQ/LYMSRddRXOs/xOlJPYbGZPSIPOMPBXkHMYdnwO338G3y+E/GOwdZZ5A6jXzgwlrS6Dpr3BaeHcK3JGpQojGRkZhMNhUlKKT+ubkpLCwZP+Bzubv/zlL+Tm5nLttdeecZ9Jkybx1FNPlaY0KYH3t73P71f+HoDxbcbz616/xm4rw9oUIvKjIrm5+OZ9SuaM6eSvOfHXe9HMqN6xY4hp3756DkY9nxLqQ+frzFskDOkbzEuGv/8M9q+BI1vN24q/m4v6NR9wotekdgurq5dCZeqb/+H/PIZhlOh/qHfffZff/e53fPTRR9SvX/+M+z322GNMnDgx+tzn89GkSZOylCqF3tn6Ds+tfg6AG9vdyK8u/pV+CYqUM8MwyF+71hyM+umnGHl55ga7nfi+fUkeO4aEIUOsnRm1OrM7oFF38zboEcg7BjsXmT0m338GOQcLx53MM/ev1dwcCNtiEFzQH+LUO2WVUoWRunXr4nA4TukFOXz48Cm9JT/03nvvcfvtt/PBBx9w6aWXnnVfj8eDR/+zlpupW6byx6/+CMCtHW/loW4PKYiIlKPgwYNkzZxJ5owZBPecWMXW1awpyWPH4R09CteP/I6UChBXGzqONW+GAYe+OXE6J20FHN8Fa3bBmjcAGzTsYgaTFoOgySW6fPg8KlUYcbvddO/enQULFjBmzIkVXBcsWMCoUaPO+Lp3332X2267jXfffZeRI0eWvVoptXe/fTcaRO7sdCf3db1PQUSkHET8fnIWLiRz+gxyv/wyOieILS6OpBGXkzx2LLHduun/t8rCZoPUTuat30Pgz4bdX5o9JzsXmadyDqw3b8teBGeMOcakKJykXgR2ndauKKU+TTNx4kQmTJhAjx496N27N6+++ippaWncfffdgHmKZf/+/bz99tuAGURuuukm/vrXv3LJJZdEe1ViY2PxludS1nKKD7Z/wLOrngXgjk53KIiInCPDMCjYvIWs6dPJ+vhjIifPCdKjB96xY0kaPgx7fLyFVUqJeBKhzeXmDcCXbl4+XBROstNh5xfmDSC2tjnepMUg89ROrQusqbuaKvOkZ3/6059IT0+nY8eOvPjiiwwYMACAW265hd27d7No0SIABg0axOLFi0/5GTfffDNvvfVWid5Pl/aW3ozvZvDEcvPS6Zvb38wvevxCQUSkjELHjpE1axZZ02fg37492u5MTcU7ehTJY8bgbtbMwgqlXBkGZGw3Q8mOL2D3MghkF98nuSlcMAAu6GfekjWu8XQ0HXwNNnvHbB5f9jgGhgaripSREQqRs2QpWTOmk/3FIgiZK83a3G4SL70U79ixVWuBOim7cBD2rzvRa7JvdfGVh8HsKbmgnzkQ9oJ+mt+kkMJIDfXJrk94dOmjRIwI49uM5/FejyuIiJSCf8cOMqdPJ+ujWYQzTizcFtOxI96xY/COHIlDp5hrNn8O7F0Ju5aavSYH1oMRLr5PreY/CCeNrKnVYgojNdD83fP51ZJfETbCjGs1jid6P6F5RERKIOzz4ftkHlnTp5O/cWO03VG7Nt6rrsI7diwxbVpbWKFUav5sSFsJu08OJ5Hi+9RuUTycJDW0ptbzTGGkhlmybwkPfP4AISPEqAtH8XTfpxVERM7CCIXIXb6crJkzyf5sIUYgYG5wOEgYONCcE2TAAGxut7WFStVT4DspnCyF9I2nhpPkZubVOs16Q9M+ULeVecVPNaMwUoOsObiGuz+7G3/Yz4jmI5jUb5KmeBc5g4Lt28ma+RFZs2cRPnLiNIynVSu8o0fjvfoqnPXqWVihVDsFWSfCya6l5to6PwwncXXMcFJ0a3AROKr+4qUKIzXElqNbuP3T28kJ5jCo8SBeGPyCVt8V+YHQ8eP45nxM1owZFGzZEm13JCeTdOWVeMeM1tTscv4U+MxBsHtWmCFl/xoIFRTfxxUHjXuYvSbNekOjHuBJsKbec6AwUgPszNrJLZ/cwnH/cXqk9GDKpVOIcWrGQBEAIxAgZ8kSMmfOJGfxEihaIdfpJGHQQJJHj9ZpGKkcQn44sMGcFTatMKAUZBbfx+YwFwds2huaXgJNekJiqhXVlorCSDV3IOcAN31yE4fyDtG+TnteH/Y6Ce6ql5pFylN0UrKZM/F9/DHh48ej22I6dMA7ejRJV47EWauWhVWK/IhIBI58eyKc7FkBvn2n7udtCk0uhsY9zfvUyndqR2GkGsvIz+CWebewx7eH5t7m/Pvyf1MrRr9cpeYKHj6Mb/YcsmbOwP/d99F2R726eK+6Gu/oUcS01tUwUoVl7i0MJsth72o4vAX4wde3MwYadoXGF5s9J417QqK1ayIpjFRTvoCP2+bdxrbj22gY35B/j/g3qfGVv6tOpLxF14aZOZPcZV+af01SNCnZULyjRxPfpw82Z5kWJxep3Ap8sH8t7PvKDCf7vjr11A6YM8U27lkYTi421+Y5j70nCiPVUEGogLsW3MW6w+uoE1OHf4/4N82SNAW11ByGYZC/foN5GuaTT4hkn5iiO7ZLF7xjxpA04nIcNfj3hNRQkQgc/d4MJftWw96vztB7ElvYe9LdHBTbuAckNaqwy4oVRqqZcCTMLxb/goVpC0l0JfLm5W/SpnYbq8sSOS8C+/bjmzObrBkzCezZE213NmiAd9TVeEeNwtO8uYUVilRCJe09SUgxg0mvu6DFwHItoaTf3+q/rAIMw2DS6kksTFuIy+7ir0P+qiAi1V7Y58M3bx6+WbPJW7Mm2m6LjSVp2DC8Y0YT17MnNi3rLnJ6MUnmCsMXDjafn9x7sn8N7FsDhzZDziHY9jFc9BPLSlUYqQJe/+Z13tv2HjZsPNv/WS5OvdjqkkQqhBEIkLN0KVmzZpPzxRcnZkW12Yjr2RPvqFEkDhuGIyHe2kJFqiK7Heq1Nm9dbzDbAnnmJGz71phzmlhEYaSSm71jNn9d91cAfnXxr7j8gsstrkikfBmGQf6GDWTNmkX23E8IZ2VFt3latSTp6qvxXnklrgYNLKxSpJpyx5nzljS9xNIyFEYqseUHlvPEl08AcEuHW7ix/Y0WVyRSfgJ79pA1azZZs2cTTEuLtjvq1cU78kq8o67G07atZkUVqQEURiqprUe38tAXDxEyQoxoPoKHuj9kdUki5yx0/Di+Tz7B99GsYqvj2mJjSbzsUrxXjyK+9yXYHFpbSaQmURiphPZl7+OehfeQF8qjZ2pPnun7jFbglSor4veT88UismbNImfp0hPTstvtxPfujXfU1SQOHYo9XuNARGoqhZFKxhfwcc/Ce8jIz6BVrVa8NPgl3A6tnSFVixGJkL92LVmzZuGb92mx+UA87drhvfpqkkZegat+fQurFJHKQmGkEglGgkxcNJFdWbuoH1efKUOnkOhOtLoskRIr2L4d35yP8c2ZQ/DAgWi7MzUV71VXknTVVZqWXUROoTBSSRiGwR9W/oFV6auIdcbyj6H/ICXe2jUFREoisG8/vo8/xvfxx/i3b4+22+PjSRw+HO/VVxPX82LNByIiZ6QwUkm8veVtpn03DRs2/jTgT7St3dbqkkTOKHT0KL5P5uH7+GPy168/scHlImHAALwjryBhyBDsMTHWFSkiVYbCSCWwMG0hf1nzFwAevvhhBjUZZG1BIqcRzskhe8Fn+D7+mNwVKyAcNjfYbMT16oX3ypEkXnYZDq/X2kJFpMpRGLHYlqNbeGzpYxgYjG8znhvbaS4RqTwifj85S5bgm/MxOYsWYfj90W0xnTqZAeTyEbhSNBBVRMpOYcRCB3MPct/C+8gP5dOnYR8e7fmoJngSyxnhMHmrVpE152OyFywodiWMu3lzkq66Eu8VV+C+4ALrihSRakVhxCJ5wTzu+/w+DucfpmVyS/488M847frPIdYwDIOCr78m6+OP8X3yCeEjGdFtztRUkkZegXfkSDzt2ikwi0i507efBQzD4Ldf/pZvj31L7Zja/H3o33UJr5x3hmFQsGUL2fPm4ftkHsF9+6LbHF4viSMuxztyJLHdu+tKGBGpUAojFnht02vM3zMfp93Ji4NepFFCI6tLkhrCMAz827aZV8LM+4TgnhNrwtji4kgcOpSkkVeQ0KcPNrcm2xOR80Nh5Dz7Iu0L/rb+bwA83utxuqV0s7giqQn8331nrgnzyTwCu3ZF220xMSQMGkTS5ZeTMHAA9thYC6sUkZpKYeQ82pG5g8eWPQbA+Dbjuab1NRZXJNWZf+fOwgDyCYHvd0TbbW43CQMHkDRiBAkDB2pNGBGxXI0OI7+ZuYn5mw9hs4HdZsNus0Uf//DeXngPhc/t5r3DbsNlt+N02HA57LgcNpyFz90O897psGOQy6Kc35IbySXF3Z747HH844vv8TjteFwOYs5077IT43Tg+cG93a5BhHKqwO7d+ArHgPi3bYu221wu4vv3J2nE5SQMHoIjQQFERCqPGh1GsvJDHM72//iO5yxMbJO3cCYcJBJIZsf2sfw1vPOcfqLLYSsMJw48TjtxbgdxHidxLgfxHgexbifxbgexbgfxbmfhvYM4t5M4j8Pc3+0svD/5sRO3U4MVq5JAWhq+eZ/im/cJ/i1bT2xwuUjo04fEEZeTOHQojkQNkhaRyslmGIZhdRE/xufz4fV6ycrKIikpqdx+7r7jeWTlBzEMMAyIGEbhDcC8j0TMewPjpH3MgYARwyAUNghFDILhCMGwQSgcIRgxCIYihCJm27Jjb/BNzmwceBiS9DQJ9qYEw0WviVAQDOMPnXwfwR8K4y+8L3oeDJ+f/1Ruh52EGCcJnsJbjJPEwvsEj5PEGBeJZ9luPncR47LrMtAK4v/+e3zz55M9fwH+b789scHhIL53b5JGjCDx0qGaDVVELFXS7+8a3TPSuFYcjWtV7HvM2TmHf6bNBuCPA//A8AuGl/lnhSNGNKQUnHRfEIyQFwiRHwiTGwiTHwiR6w+THwyT6w+RFwiTFyi6/8Fjf4i8YJg8f5hAOAJAIBzhWG6AY7mBc/rsTrutWKhJinGRFFt0X3iLceItfOyNdUX38ca6iHc7dTqqkGEY+LdujQaQwM6TetYcDuJ79STx8stJvOwynLUq+B+1iEg5q9FhpKJtO7aNp5Y/BcCdne48pyAC4LDbCk+nlEd1pwqGI9Gwkl1g3nL8IXIKQuT4g6dpC5HtD5FTEDQfFxS2B0IYBoQiBpl5QTLzgmWqx26DxJjCkFIYYooCizfODDKnCzFF2z1ORzkfofPLiEQo+PprfPMXkD1/frF5QGwuF/F9+pA4bBgJQwYrgIhIlaYwUkF8AR8TF02kIFxAn4Z9+L8u/2d1ST/K5bDjjbXjjXXR4Bx69yMRg7xgOBpifIUhxVdgBpqs/CC+/CC+giBZ+aGTHgfxFT4PhCNEDMjKN9vLItblIDnODCvJcS6SY93m85MeJ8cWf14rzm3p6SUjHCZvzVqy588n+7PPCB06FN1mi4khoX9/M4AMGqgxICJSbSiMVICIEeHxZY+Tlp1Gg/gG/LH/H3HYq/Zf6aVht9uip2agbEvIFwTDp4aU6GMz4GTlmdt/uI8vP0jEgPxgmPysMOlZBaV6b7fTTvJJAcZbGFqS41wkx7lPDTeFzxM8zjKFGCMQIHfVajOALFxI+Nix6DZ7fDwJgwaZAaR/P+xxcaX++SIilZ3CSAV445s3WLR3ES67ixcHvUhyTLLVJVU5MS4HMS4H9ZNKH2YiEYOcgBlWjucFzFNF+UGyTnqcmRckK7/488y8AKGIQSAU4XC2v9RXWjntNrzRnhazl6VYL0xhcKkV5yY54idh41fYVyzBv2wZkZyc6M+xe70kDhlC4rDLiO/TB7vHU+pjICJSlSiMlLMVB1YUm2G1Q90OFldU89jtNnMMSYyLJrVL3pNgGAZ5gXBhOAmQdVJQOZ4XIKuw/US4CZKZH+B4XpBAKEIoYnA0N8DRMwz8rZufSa/0zfRJ30xyxg78Rji6LSsmka8v6MJ3bXtwvFUnkhJjSc5xk7wsjVpxLrxx7mjAKTrVlFjGnhgRkcpGYaQcpeek88iSR4gYEca0HMO41uOsLklKwWazEe9xEu9x0ii5dNOiFwTDhSElEB20m5XnJ/jdd8SvWU7dr1dRd3/xuWX2JdZnRWp7ljfoyLZaTTFshfO7fHfsNO9wKofddtKYl+I9MbWKemLiCh+f1DtT1tNJIiIVRWGknATCASYumshx/3Ha1W7Hr3v92uqS5DyKcTlI9TpIiXeSt3YdOZ8vJHvh58WugMFmI7ZLFxKHDiFhyFDatWhO/2C4sMflxCmlotNHx4s9LtpmPi4IRgj/SE/MmRSFmKIxMObjEwN6k+Pd0e21ThojoxAjIhVFYaSc/OmrP/HN0W/wery8OPhFYpxlG7gpVU/Y5yP3yy/JWbSInEWLCWdlRbfZPB7ie/cm8dKhJAwahLNu3WKvLRobk1LKsTEFhSEmOiamcMzLyeNffthTk5l/uhCTW+L3dNptxce9xLnw/kgvTHKcm3i3QyFGRM5KYaQczNs9j/e2vQfApH6TaJTQyOKKpCIZhkFgxw5yFi8mZ9Fi8tatg/CJ8R+O5GQSBg0iYegQEvr2rZArYM4lxBQFk+O5xXthMvMDxQb9FoWdk8fEZOQEyMgpXYhxOWx4T7qU+uRemFrxJ3peTu6FqRXnJk4hRqTGUBg5R2m+NH63/HcA3NHpDvo37m9tQVIhIn4/eatWkbNoMTmLFxPcv7/YdneLFiQMHEjikMHEdu2KzVk5/9cqOp2U6i19iClJL8zxvFMH9gbDBhk5fjJySnd1UlGIifa8nPT4RKAp3guTHOtSiBGpgirnb8wqIhAO8MvFvyQ3mEu3+t2qxMRmUnLB9HSz92PxEnJXrsTIz49us7lcxPXqRcLAgSQMGoi7SRMLK614MS4HDbyxNPCWfGCvYRgUBCPRXpgTPS+n9sIUXZ1U9DwQLnuIcTvsp8wNU+xx3Ekz+Z60FEFijBOXQ4tEilhBYeQc/HnNn9l6bCvJnmT+OOCPOO06nFWZEQiQv3EjOUuXkbN4Mf5t24ptd6akRMNH/CWXaAKyH2Gz2Yh1O4h1ly3EHD/DuJdivTE/2B4IRwiEIxzJ9nOkDCtyx7sdpywxkHSa4HLKmkqxLo2NETkH+vYso/m75/Put+8C8Gy/Z0mNT7W4IimLQFoaOcuWkbvsS/JWriSSl3dio91ObOfO0QDiadNGXzbnwckhpmEpLrE2DIP8wjExx0+aJ6bYGJhc8/RSdCbfwtl8c/whAHILF5ss7ay9YF6ldHJISTp5XaUfCTRJMS7cTvXKSM2lMFIGe7P38uTyJwG4reNtGidShYRzcsyxH4UBJLh3b7Htjlq1iO/bl4SBA4jv108L0FUhNlvRQpLOUoUYgFA4QnZBqNjSAlnFliMovP/B2kpF7cGwQThicLzwNFRZxLocJMU6SYwxTxkV3ScVPfY4SYxxkhDdbi4eefK+Os0kVZXCSCkFwgEeXvwwOcEcutTrwr1d77W6JDkLIxKhYPMWcr9cRs6yZeRv2Aih0IkdnE7iunYlvl8/4vv2JaZ9O2x2/UKvaZwOO7Xi3dSKL/2S2EWnlU4NLsHC9ZNCxdt+EHayC8x/j/nBMPnBMId8pT+9VCTGZS8WZpIKQ0uC5ywhp9i9s8qvdi1Vk8JIKb249kU2H92M1+Pl+YHP47K7rC5JTmIYBsE9e8hduYrcVSvJW7mK8PHjxfZxNWtKQt++xPfrR1zPXjgS4i2qVqqDE6eVSn+pNUA4YpBTcCKcFAUU8xb8wb3Ze5PjL749L2BeWl4QjFAQLNt4mSJuhz0aTIpCStHCl/EeJwk/fO5xkOBxEe9xmO0xZnu824nDrtOaUjIKI6WwZN8Spm6dCmicSGUSPHiQ3JVm8MhdtYpQenqx7fb4eOIuuYSEfmYAqe5XvkjV4rDb8BauN1RWoXAkGlDOFmZ8Jz029z+xb9G4mUA4UqaZfU8nzu0g3uMkMRpcTgowhaElwX0iwBTtF194Sqpoe7zHgVOnoKo1hZESysjP4DfLfgPAhPYTGNB4gMUV1VyhY8fIW73aDCArVhLYs6f4Di4XcZ07E3fJJcRf0ovYzp2xudSDJdWX02EvvGy59KeZioQjxikB5eTgkus374s/DpuPC4pvC0UMAPICYfIC4XPqqSkS47KT4HGR4HFEe17iPA7i3A7i3E7i3Q7iPIX3hQEm1l38efTeZb5WY2wqD4WREogYEX6z7Dcc9x+nTa02PNjtQatLqlFCx46Rt3Yt+WvWkLtqNf5vvy2+g91OTIcOxF9yCXGX9CKuWzfssaUbwChS0znsNryFV/qcC8Mw8IcixUNLQYjcgBlwcgsDTHbh9pMfF4Wa3EDha/xhAuEIcOIUVEZOeXxak9thJ87jMINNYZiJczmKB5eTgs7Zg4/5ONbl0OmpMlAYKYF3tr7Dlwe+xOPw8McBf8TtKPtfH/LjggcOkLdmDXlr1pK3di2BHTtO2cfTqhVxvS8xA0iPHjiSkiyoVER+yGazRZcrqJvgOeef5w+FowHm5N6XvED4xH0gRH7A3C8vECI3ECavMNQU9c6Yz8PFem4C4QiBvAiZZbwC6kzcDrs5jshl9tzEuIrCivk4rnDbyY+Lxh2d/JqicBPrthNb9NjlIMZlr3bTDCiM/Ihvj33Li2tfBODhHg9zYfKFFldUvRiGQWDXLvK+WkPe2jXkrVlD6ED6Kft5WrUktnt34i6+mPhevU5ZcE5EqieP04HH6aB2Ga50OpNAKEJeNKgU9tYEQuQV3f8gwBTtUxR08n/wPM8fIi8YxjAKf344QiA/QlZ++Yack/1Y0IkGnMI2j+tEAIp124lxOqKhMcZlhqeGybEkxVhzSlth5CzyQ/k8suQRgpEgg5oM4to211pdUpUXycujYPNm8jZsIH/jRvLXrSd87FjxnRwOYtq3J65HD+J6dCe2WzfN9yEi5cbttON2ukkux0mUi05P5QfC5AXD5AfCFATNUJMfNAOMeW8GoYLCS7nzCvfLD5y8bzh6qXf+SW3+UCT6fkXby9OL4zszpmvjcv2ZJaUwchZ//urP7MzaSb3Yejzd5+lq1y1W0QzDIJiWZoaODRvI37CRgm3biq1wC2DzeIjt3NkMHt27E9elC/Z4XW4rIlXHyaenKupPp3DEiIaYopCSFzhN8CkKP4FIsSBUEIwU3hfdij9P8Fg30F9h5Aw+T/uc97e/D8Az/Z6hVoz+Mv8x4awsCrZsKQwfG8nfuPGUOT4AnPXrE9ulC7GdOxPbtSsxHTtgd2scjojI2Tjstuilz9VN9ftE5eBI3pHodO83t7+ZPg37WFxR5RP2+SjYsoWCzZvJ/+YbCjZvIZiWdsp+NpeLmA4dCoOHGUCcqanqZRIRkSiFkR8wDIMnlj9Bpj+TtrXbcn+3+60uyXJm8NhKweZvzPCxeTPBPacGDwBX48bEdOpIXJcuxHbpgqddO/V6iIjIWSmM/MCH333Isv3LcNvdTOo3qUZdxmuEQgT27MG/bRsF27ab99u3nfbqFgBXo0bEdOxITIcOxHRoT0z79hpoKiIipaYwcpK9vr08/9XzANzf7X5a1mppcUUVwzAMQoePENi5g4Jt2/AXBg//999jBE4/BbSrYcMTwaNjBwUPEREpNwojhcKRML/58jfkh/LpkdKDCe0nWF3SOTOCQQJ79xLYuRP/jp3m/a5dBHbuJJJz+mkMbXFxxLRqhadNGzxtWhPTpg2e1q01qZiIiFQYhZFCb295m3WH1xHnjOOZfs9gt1WNNQuMYJDggQME0vYS3LeXQNpeAnvTCOzcRSAtDUKh07/Q4cDdpAme1q2LhQ5X48bY7FXjs4uISPVQpjAyefJknn/+edLT0+nQoQMvvfQS/fv3P+P+ixcvZuLEiWzevJmGDRvyq1/9irvvvrvMRZe37ce387f1fwPgkZ6P0CihkcUVnWCEQoSOHCGYfpDQwXQC+/cT3LuPwN40gml7CaanQyRyxtfb4uLwNG+Ou0ULPBe2wN3cvHc1baqBpSIiUimUOoy89957PPjgg0yePJm+ffvyyiuvMGLECLZs2ULTpk1P2X/Xrl1cccUV3HnnnUydOpUvv/ySe+65h3r16jFu3Lhy+RDnIhgO8viyxwlGggxsPJAxLcecl/c1DINIdjahjKOEjx0llHGU0KGDBNMPEjx4kFB6unl/5MhZwwaYk4a5mjTG3aQp7qZNcDVugrt5czwXtsCZkqKeDhERqdRshlE0m37J9OrVi27dujFlypRoW7t27Rg9ejSTJk06Zf9HHnmEWbNmsXXr1mjb3XffzcaNG1mxYkWJ3tPn8+H1esnKyiKpnMcuvLzuZV7b9BrJnmRmjJpB3djSr3liBAKEfT7Cvmwi2b7Cxz4i2dmEs3yEfVmEjx0ndDSD8NFjhI4eJXz0KEawhOsWOJ246tfH2aABrgYNTgSOpk1wNWmKs15dBQ4REal0Svr9XaqekUAgwNq1a3n00UeLtQ8bNozly5ef9jUrVqxg2LBhxdqGDx/O66+/TjAYxOU6dfpZv9+P3+8v9mEqwqb//I3Qp69we8Sgb2obgpv/yoFwBMJhjHAYImGMUBjD7ydSUECkIB8jv4BIQQFGfj4Rvx8jP7/koeI07AkJOOvUwVGnDs6U+rhSG+BqkIozJdW8T03FWVdhQ0REqq9ShZGMjAzC4TApKSnF2lNSUjh48OBpX3Pw4MHT7h8KhcjIyKBBgwanvGbSpEk89dRTpSmt1AzDYMucqYzYWHQK5Esyz+UH2mzYExNxJCZiT0rCkZSEIykRe2ISjsREHLVr46xbGDoKb446dbB7zn2JbRERkaqsTANYfziVt2EYZ53e+3T7n669yGOPPcbEiROjz30+H02aNClLqWetqes1d7OqwfsMbjYUjzsWm8MBdgc2hx0cDmx2Bzjs2GNiscfGYCu698QUPo/BHhtr3hIT1XshIiJSBqUKI3Xr1sXhcJzSC3L48OFTej+KpKamnnZ/p9NJnTp1Tvsaj8eD5zz0GLT+ya20/smtFf4+IiIicmal+lPe7XbTvXt3FixYUKx9wYIF9Olz+sXkevfufcr+8+fPp0ePHqcdLyIiIiI1S6nPK0ycOJF//etfvPHGG2zdupWHHnqItLS06Lwhjz32GDfddFN0/7vvvps9e/YwceJEtm7dyhtvvMHrr7/OL3/5y/L7FCIiIlJllXrMyPjx4zl69ChPP/006enpdOzYkblz59KsWTMA0tPTSTtpKfnmzZszd+5cHnroIf7xj3/QsGFDXn755Uoxx4iIiIhYr9TzjFihIucZERERkYpR0u9vXf4hIiIillIYEREREUspjIiIiIilFEZERETEUgojIiIiYimFEREREbGUwoiIiIhYSmFERERELKUwIiIiIpYq9XTwViiaJNbn81lciYiIiJRU0ff2j032XiXCSHZ2NgBNmjSxuBIREREprezsbLxe7xm3V4m1aSKRCAcOHCAxMRGbzVZuP9fn89GkSRP27t2rNW8qmI71+aHjfH7oOJ8fOs7nT0Uda8MwyM7OpmHDhtjtZx4ZUiV6Rux2O40bN66wn5+UlKR/6OeJjvX5oeN8fug4nx86zudPRRzrs/WIFNEAVhEREbGUwoiIiIhYqkaHEY/Hw5NPPonH47G6lGpPx/r80HE+P3Sczw8d5/PH6mNdJQawioiISPVVo3tGRERExHoKIyIiImIphRERERGxlMKIiIiIWKpGh5HJkyfTvHlzYmJi6N69O0uXLrW6pCpj0qRJXHzxxSQmJlK/fn1Gjx7Ntm3biu1jGAa/+93vaNiwIbGxsQwaNIjNmzcX28fv93PfffdRt25d4uPjufrqq9m3b9/5/ChVyqRJk7DZbDz44IPRNh3n8rN//35uvPFG6tSpQ1xcHF26dGHt2rXR7TrW5y4UCvGb3/yG5s2bExsbS4sWLXj66aeJRCLRfXScy2bJkiVcddVVNGzYEJvNxsyZM4ttL6/jevz4cSZMmIDX68Xr9TJhwgQyMzPPrXijhvrf//5nuFwu47XXXjO2bNliPPDAA0Z8fLyxZ88eq0urEoYPH268+eabxjfffGNs2LDBGDlypNG0aVMjJycnus9zzz1nJCYmGtOmTTM2bdpkjB8/3mjQoIHh8/mi+9x9991Go0aNjAULFhjr1q0zBg8ebHTu3NkIhUJWfKxKbfXq1cYFF1xgXHTRRcYDDzwQbddxLh/Hjh0zmjVrZtxyyy3GqlWrjF27dhmfffaZ8f3330f30bE+d88884xRp04dY86cOcauXbuMDz74wEhISDBeeuml6D46zmUzd+5c4/HHHzemTZtmAMaMGTOKbS+v43r55ZcbHTt2NJYvX24sX77c6Nixo3HllVeeU+01Noz07NnTuPvuu4u1tW3b1nj00UctqqhqO3z4sAEYixcvNgzDMCKRiJGammo899xz0X0KCgoMr9dr/POf/zQMwzAyMzMNl8tl/O9//4vus3//fsNutxvz5s07vx+gksvOzjZatWplLFiwwBg4cGA0jOg4l59HHnnE6Nev3xm361iXj5EjRxq33XZbsbaxY8caN954o2EYOs7l5YdhpLyO65YtWwzAWLlyZXSfFStWGIDx7bfflrneGnmaJhAIsHbtWoYNG1asfdiwYSxfvtyiqqq2rKwsAGrXrg3Arl27OHjwYLFj7PF4GDhwYPQYr127lmAwWGyfhg0b0rFjR/13+IH/+7//Y+TIkVx66aXF2nWcy8+sWbPo0aMHP/nJT6hfvz5du3bltddei27XsS4f/fr1Y+HChWzfvh2AjRs3smzZMq644gpAx7milNdxXbFiBV6vl169ekX3ueSSS/B6ved07KvEQnnlLSMjg3A4TEpKSrH2lJQUDh48aFFVVZdhGEycOJF+/frRsWNHgOhxPN0x3rNnT3Qft9tNrVq1TtlH/x1O+N///se6dev46quvTtmm41x+du7cyZQpU5g4cSK//vWvWb16Nffffz8ej4ebbrpJx7qcPPLII2RlZdG2bVscDgfhcJg//OEP/PSnPwX0b7qilNdxPXjwIPXr1z/l59evX/+cjn2NDCNFbDZbseeGYZzSJj/u3nvv5euvv2bZsmWnbCvLMdZ/hxP27t3LAw88wPz584mJiTnjfjrO5y4SidCjRw+effZZALp27crmzZuZMmUKN910U3Q/Hetz89577zF16lT++9//0qFDBzZs2MCDDz5Iw4YNufnmm6P76ThXjPI4rqfb/1yPfY08TVO3bl0cDscpKe7w4cOnpEY5u/vuu49Zs2bxxRdf0Lhx42h7amoqwFmPcWpqKoFAgOPHj59xn5pu7dq1HD58mO7du+N0OnE6nSxevJiXX34Zp9MZPU46zueuQYMGtG/fvlhbu3btSEtLA/Rvurw8/PDDPProo1x33XV06tSJCRMm8NBDDzFp0iRAx7milNdxTU1N5dChQ6f8/CNHjpzTsa+RYcTtdtO9e3cWLFhQrH3BggX06dPHoqqqFsMwuPfee5k+fTqff/45zZs3L7a9efPmpKamFjvGgUCAxYsXR49x9+7dcblcxfZJT0/nm2++0X+HQkOHDmXTpk1s2LAheuvRowc33HADGzZsoEWLFjrO5aRv376nXJ6+fft2mjVrBujfdHnJy8vDbi/+1eNwOKKX9uo4V4zyOq69e/cmKyuL1atXR/dZtWoVWVlZ53bsyzz0tYorurT39ddfN7Zs2WI8+OCDRnx8vLF7926rS6sSfv7znxter9dYtGiRkZ6eHr3l5eVF93nuuecMr9drTJ8+3di0aZPx05/+9LSXkTVu3Nj47LPPjHXr1hlDhgyp8Zfn/ZiTr6YxDB3n8rJ69WrD6XQaf/jDH4zvvvvOeOedd4y4uDhj6tSp0X10rM/dzTffbDRq1Ch6ae/06dONunXrGr/61a+i++g4l012draxfv16Y/369QZgvPDCC8b69eujU1aU13G9/PLLjYsuushYsWKFsWLFCqNTp066tPdc/OMf/zCaNWtmuN1uo1u3btHLUuXHAae9vfnmm9F9IpGI8eSTTxqpqamGx+MxBgwYYGzatKnYz8nPzzfuvfdeo3bt2kZsbKxx5ZVXGmlpaef501QtPwwjOs7lZ/bs2UbHjh0Nj8djtG3b1nj11VeLbdexPnc+n8944IEHjKZNmxoxMTFGixYtjMcff9zw+/3RfXScy+aLL7447e/lm2++2TCM8juuR48eNW644QYjMTHRSExMNG644Qbj+PHj51S7zTAMo+z9KiIiIiLnpkaOGREREZHKQ2FERERELKUwIiIiIpZSGBERERFLKYyIiIiIpRRGRERExFIKIyIiImIphRERERGxlMKIiIiIWEphRERERCylMCIiIiKWUhgRERERS/0/ClrgG5T7s4cAAAAASUVORK5CYII=\n" }, "metadata": {} } From ead6c7ad86078a64b71540aa2a53b35349813c07 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 15:29:01 -0400 Subject: [PATCH 19/73] Added comments to ode.py --- torchts/nn/models/ode.py | 24 ++++++++++++++++-------- 1 file changed, 16 insertions(+), 8 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 67385052..fdcab6b9 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -97,12 +97,15 @@ def get_coeffs(self): def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, scheduler_params=None): - """Fits model to the given data. + """Fits model to the given data by comparing the whole dataset Args: x (torch.Tensor): Original time series data + optim (torch.optim): Optimizer + optim_params: Optimizer parameters max_epochs (int): Number of training epochs - batch_size (int): Batch size for torch.utils.data.DataLoader + scheduler (torch.optim.lr_scheduler): Learning rate scheduler + scheduler_params: Learning rate scheduler parameters """ dataset = TensorDataset(x) n = dataset.__len__() @@ -132,12 +135,16 @@ def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, schedu print(self.coeffs) def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_size=64, scheduler=None, scheduler_params=None): - """Fits model to the given data. + """Fits model to the given data by using random samples for each batch Args: x (torch.Tensor): Original time series data + optim (torch.optim): Optimizer + optim_params: Optimizer parameters max_epochs (int): Number of training epochs batch_size (int): Batch size for torch.utils.data.DataLoader + scheduler (torch.optim.lr_scheduler): Learning rate scheduler + scheduler_params: Learning rate scheduler parameters """ dataset = TensorDataset(x) loader = DataLoader(dataset, batch_size=batch_size) @@ -162,21 +169,22 @@ def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_si if n<3: continue + # Takes a random data point from "data" ri = torch.randint(low=0,high=n-2,size=()).item() single_point = data[0][ri:ri+1,:] - - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - init_point = {var: single_point[0,i] for i,var in enumerate(self.var_names)} - coeffs = self.get_coeffs() + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for var in self.var_names: - + # Increment using Euler's method + # TODO: Write a separate function to do this new_val = init_point[var] + self.ode[var](init_point, self.coeffs) * self.dt pred[var] = new_val predictions = torch.stack([pred[var] for var in self.outvar], dim=0) + + # Compare numerical integration data with next data point loss = self.criterion(predictions, data[0][ri+1,:]) loss.backward(retain_graph=True) From 5e21e392279343162cc7e76e9c81e0665734b69b Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 15:37:25 -0400 Subject: [PATCH 20/73] Update Lorenz63Train_fit.ipynb --- examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 838 +++++++++--------- 1 file changed, 419 insertions(+), 419 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb index a701d4c1..7bf1ce03 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb @@ -57,7 +57,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -70,12 +70,12 @@ " optimizer=None,\n", ")\n", "\n", - "result = ode_solver(2000)" + "result = ode_solver(1000)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -86,13 +86,13 @@ " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", " ...,\n", - " [-4.8749e+00, -7.0272e+00, 1.7946e+01],\n", - " [-5.1005e+00, -7.4593e+00, 1.7824e+01],\n", - " [-5.3468e+00, -7.9161e+00, 1.7745e+01]], grad_fn=)" + " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", + " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", + " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 14 + "execution_count": 5 } ], "source": [ @@ -101,22 +101,22 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" ] }, { "output_type": "display_data", "data": { "text/plain": "
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\n" 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\n" }, "metadata": {} } @@ -153,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 8, "metadata": { "tags": [ "outputPrepend" @@ -190,389 +190,389 @@ "output_type": "stream", "name": "stdout", "text": [ - ":\n", - "tensor(15.8942, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(9.8835, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(301.9414, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(13.4083, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(15.8125, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(9.7852, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(300.2483, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(13.4956, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(15.7324, requires_grad=True), 'beta': Parameter 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requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(276.9018, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(14.7026, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(14.7771, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.2258, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(275.4480, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(14.7765, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(14.7330, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.1290, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(274.0018, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(14.8498, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(14.6918, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.0322, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(272.5623, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(14.9224, requires_grad=True), 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requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.2262, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.4112, requires_grad=True)}\n", - "Epoch: 90\t Loss: tensor(77.5531, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.8164, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.3255, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.3542, requires_grad=True)}\n", - "Epoch: 91\t Loss: tensor(76.9851, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.8570, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.4218, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.3020, requires_grad=True)}\n", - "Epoch: 92\t Loss: tensor(76.2551, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.8996, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.5134, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.2499, requires_grad=True)}\n", - "Epoch: 93\t Loss: tensor(75.2696, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.9360, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.5994, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.1932, requires_grad=True)}\n", - "Epoch: 94\t Loss: tensor(73.8892, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.9602, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.6803, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.1299, requires_grad=True)}\n", - "Epoch: 95\t Loss: tensor(72.4045, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.9804, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.7593, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.0662, requires_grad=True)}\n", - "Epoch: 96\t Loss: tensor(72.0286, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(18.0215, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.8387, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.0181, requires_grad=True)}\n", - "Epoch: 97\t Loss: tensor(72.7292, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(18.0955, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.9173, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.9952, requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(72.9855, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(18.1983, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.9935, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.9975, requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(72.1948, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(18.3234, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(17.0670, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.0223, requires_grad=True)}\n" + "o': Parameter containing:\n", + "tensor(9.4876, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.5730, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(316.2903, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1060, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.4467, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.4755, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(315.2972, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1762, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.4118, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.3780, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(314.3082, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.2448, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.3833, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.2807, requires_grad=True)}\n", + "Epoch: 27\t 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"tensor(9.3379, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.8917, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(309.3456, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.5675, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.3447, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.7945, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(308.3323, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.6288, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.3590, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.6972, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(307.3060, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.6894, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.3808, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.5999, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(306.2645, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.7496, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.4101, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.5024, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(305.2050, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.8093, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.4468, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.4048, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(304.1251, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.8690, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.4908, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.3070, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(303.0227, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.9287, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.5419, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.2090, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(301.8955, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.9888, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.5999, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.1107, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(300.7415, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.0494, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.6645, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.0121, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(299.5587, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.1107, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.7354, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.9132, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(298.3455, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.1731, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.8124, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.8140, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(297.1000, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.2368, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.8952, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.7143, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(295.8210, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.3020, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.9833, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.6142, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(294.5069, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.3689, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.0766, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.5136, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(293.1565, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.4379, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.1746, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.4125, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(291.7686, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.5090, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.2772, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.3109, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(290.3423, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.5827, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.3839, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.2086, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(288.8764, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.6590, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.4944, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.1058, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(287.3701, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.7383, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.6086, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.0023, requires_grad=True)}\n", + "Epoch: 50\t Loss: tensor(285.8226, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.8205, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.7261, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.8982, requires_grad=True)}\n", + "Epoch: 51\t Loss: tensor(284.2330, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.9061, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.8467, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.7933, requires_grad=True)}\n", + "Epoch: 52\t Loss: tensor(282.6007, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.9950, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.9702, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.6878, requires_grad=True)}\n", + "Epoch: 53\t Loss: tensor(280.9248, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.0875, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.0963, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.5815, requires_grad=True)}\n", + "Epoch: 54\t Loss: tensor(279.2049, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.1835, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.2248, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.4745, requires_grad=True)}\n", + "Epoch: 55\t Loss: tensor(277.4401, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.2833, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.3556, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.3666, requires_grad=True)}\n", + "Epoch: 56\t Loss: tensor(275.6301, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.3868, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.4884, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.2580, requires_grad=True)}\n", + "Epoch: 57\t Loss: tensor(273.7743, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.4941, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.6231, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.1486, requires_grad=True)}\n", + "Epoch: 58\t Loss: tensor(271.8721, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.6052, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.7596, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.0384, requires_grad=True)}\n", + "Epoch: 59\t Loss: tensor(269.9231, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.7201, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(11.8977, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.9273, requires_grad=True)}\n", + "Epoch: 60\t Loss: tensor(267.9269, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.8388, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.0372, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.8154, requires_grad=True)}\n", + "Epoch: 61\t Loss: tensor(265.8831, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(12.9612, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.1781, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.7026, requires_grad=True)}\n", + "Epoch: 62\t Loss: tensor(263.7912, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.0872, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.3201, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.5890, requires_grad=True)}\n", + "Epoch: 63\t Loss: tensor(261.6510, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.2169, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.4633, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.4745, requires_grad=True)}\n", + "Epoch: 64\t Loss: tensor(259.4619, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.3500, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.6074, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.3592, requires_grad=True)}\n", + "Epoch: 65\t Loss: tensor(257.2238, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.4865, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.7524, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.2430, requires_grad=True)}\n", + "Epoch: 66\t Loss: tensor(254.9365, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.6264, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(12.8981, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.1259, requires_grad=True)}\n", + "Epoch: 67\t Loss: tensor(252.5998, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.7695, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.0446, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.0079, requires_grad=True)}\n", + "Epoch: 68\t Loss: tensor(250.2142, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(13.9160, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.1916, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.8891, requires_grad=True)}\n", + "Epoch: 69\t Loss: tensor(247.7812, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.0659, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.3391, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.7694, requires_grad=True)}\n", + "Epoch: 70\t Loss: tensor(245.3035, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.2192, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.4870, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.6489, requires_grad=True)}\n", + "Epoch: 71\t Loss: tensor(242.7858, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.3761, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.6352, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.5276, requires_grad=True)}\n", + "Epoch: 72\t Loss: tensor(240.2343, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.5367, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.7834, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.4056, requires_grad=True)}\n", + "Epoch: 73\t Loss: tensor(237.6580, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.7010, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.9314, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.2829, requires_grad=True)}\n", + "Epoch: 74\t Loss: tensor(235.0762, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(14.8696, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.0788, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.1598, requires_grad=True)}\n", + "Epoch: 75\t Loss: tensor(232.5416, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.0434, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.2250, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.0368, requires_grad=True)}\n", + "Epoch: 76\t Loss: tensor(230.1575, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.2226, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.3681, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.9145, requires_grad=True)}\n", + "Epoch: 77\t Loss: tensor(227.9834, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.4065, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5044, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.7935, requires_grad=True)}\n", + "Epoch: 78\t Loss: tensor(227.3086, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.5729, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.5748, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6924, requires_grad=True)}\n", + "Epoch: 79\t Loss: tensor(101.9908, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.5999, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.6800, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5661, requires_grad=True)}\n", + "Epoch: 80\t Loss: tensor(93.9531, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.6264, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.7984, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.4405, requires_grad=True)}\n", + "Epoch: 81\t Loss: tensor(90.2411, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.6622, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.9234, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.3207, requires_grad=True)}\n", + "Epoch: 82\t Loss: tensor(87.6202, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.7117, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.0525, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.2093, requires_grad=True)}\n", + "Epoch: 83\t Loss: tensor(85.6043, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.7768, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.1842, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.1078, requires_grad=True)}\n", + "Epoch: 84\t Loss: tensor(83.9932, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.8573, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.3174, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.0170, requires_grad=True)}\n", + "Epoch: 85\t Loss: tensor(82.6225, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(15.9508, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.4505, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.9363, requires_grad=True)}\n", + "Epoch: 86\t Loss: tensor(81.3660, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.0538, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.5821, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.8641, requires_grad=True)}\n", + "Epoch: 87\t Loss: tensor(80.1497, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.1621, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.7109, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7978, requires_grad=True)}\n", + "Epoch: 88\t Loss: tensor(78.9316, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.2717, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.8360, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7346, requires_grad=True)}\n", + "Epoch: 89\t Loss: tensor(77.6843, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.3790, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.9567, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6724, requires_grad=True)}\n", + "Epoch: 90\t Loss: tensor(76.4353, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.4827, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.0732, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6107, requires_grad=True)}\n", + "Epoch: 91\t Loss: tensor(75.4091, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.5868, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1859, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5542, requires_grad=True)}\n", + "Epoch: 92\t Loss: tensor(75.0112, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.6996, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2946, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5122, requires_grad=True)}\n", + "Epoch: 93\t Loss: tensor(75.1785, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.8261, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3978, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4920, requires_grad=True)}\n", + "Epoch: 94\t Loss: tensor(75.2349, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.9665, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.4938, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4953, requires_grad=True)}\n", + "Epoch: 95\t Loss: tensor(74.6912, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.1188, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.5822, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5201, requires_grad=True)}\n", + "Epoch: 96\t Loss: tensor(73.5248, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.2788, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.6637, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5593, requires_grad=True)}\n", + "Epoch: 97\t Loss: tensor(72.4504, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.4378, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.7405, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5999, requires_grad=True)}\n", + "Epoch: 98\t Loss: tensor(72.1820, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.5891, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8132, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6316, requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(72.2339, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7342, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8818, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6545, requires_grad=True)}\n" ] } ], @@ -589,7 +589,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -597,21 +597,21 @@ "data": { "text/plain": [ "{'sigma': Parameter containing:\n", - " tensor(18.3234, requires_grad=True),\n", + " tensor(17.7342, requires_grad=True),\n", " 'rho': Parameter containing:\n", - " tensor(17.0670, requires_grad=True),\n", + " tensor(16.8818, requires_grad=True),\n", " 'beta': Parameter containing:\n", - " tensor(3.0223, requires_grad=True)}" + " tensor(2.6545, requires_grad=True)}" ] }, "metadata": {}, - "execution_count": 53 + "execution_count": 9 } ], "source": [ "ode_solver_train.coeffs\n", "\n", - "# \"beta\" is close. \"sigma\" and \"rho\" are far off. This poses a problem when predicting for larger time scales." + "# \"beta\" is close but \"sigma\" and \"rho\" are far off" ] }, { @@ -623,16 +623,16 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ - "results_test = ode_solver_train(1000)" + "results_test = ode_solver_train(10000)" ] }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -640,16 +640,16 @@ "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 8.1677e-01, 1.7067e-01, 0.0000e+00],\n", - " [ 6.9838e-01, 3.0836e-01, 1.3940e-03],\n", + " [ 8.2266e-01, 1.6882e-01, 0.0000e+00],\n", + " [ 7.0670e-01, 3.0601e-01, 1.3888e-03],\n", " ...,\n", - " [-6.1749e+00, -7.1516e+00, 1.2449e+01],\n", - " [-6.3539e+00, -7.3652e+00, 1.2515e+01],\n", - " [-6.5392e+00, -7.5808e+00, 1.2604e+01]], grad_fn=)" + " [-6.4928e+00, -6.4932e+00, 1.5881e+01],\n", + " [-6.4929e+00, -6.4933e+00, 1.5881e+01],\n", + " [-6.4930e+00, -6.4933e+00, 1.5881e+01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 55 + "execution_count": 11 } ], "source": [ @@ -658,22 +658,22 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" ] }, { "output_type": "display_data", "data": { "text/plain": "
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DXC5UsY5cSFosFKzk+DwyMgKO45aRjT8Tzrm5Oeh0umVTOr3TaLHe4LwXoJBLHMK7d4VEHDMzM2hpaUFWVhZ27doVcse6HJELwenTp+MiDeaNSK/F12JnsVjExW5gYAA0TS/zRIsHt+hYk0uwkUsg+FICWq1W8f0fGhoCANFhID093cPxmTRxkmfDe5aNQjarB4Vc4gj+elcAYGBgADMzM9i8eTMKCwvDOn6kkYvb7UZzczMAYOfOnWJa6UyGVIlWUlKyzJeru7sbWq1WlDvHmmBiTS7RkJ0nJSUhKSkJxcXF4HkeZrNZVKMNDAyAoiixXkMIRPr70sgmENkoUzrlhUIucYJAFi5utxuLi4uoq6uDwWAI+xyRRC5SNRgApKSkhH0dq4FoLfK+fLnIQjc5OQmWZXHy5ElRHCCXEi0YxDpyCSctFiqkjs+E7Inj8+zsLOx2Ozo7OzE9PS2+/97jBQKRDaBM6ZQLCrnEAXz1rgDA+Pg42tvboVKpUFVVFRGxAOFFLjzPY2hoCD09PWJT5EsvvSSbMEBurPbiKrVKyc3NRUNDAyoqKmAymTyUaFLZc7SUaLGOmuRIi4UKb8fnN954AyUlJWAYRnR8VqvVHmnMhISEFcmGOD6TcyhkEzoUcokhpL0r5MGkKAoMw6CjowPT09PYvn07enp6ZFk0Q41c3G43WlpasLi4iJqaGlENJkd9IdYLYbRAUZRH97rT6RTFAZ2dnR5KtPT0dKSkpMi2UL0XIpeVwPM8UlJSkJqa6tfxWavVLiMbAl9ks9KUToVsfEMhlxiB4zgwDLMsDba4uIimpiZotVocOHAACQkJ6Ovri1jlRc4R7HECNUXGQ/F6JcTi+nydU6fTIS8vD3l5ectkt95KNO/idDjnj3XNJdaLrLennC/HZ9JQK3V8ln4GUvcGqQknsPKUTmUk9BIUclllSG9OshiQxXpoaAjd3d0oKytDRUWFeIPK4WYMBJcWk16HPzWYHJLmaCGeH+pglWhpaWlizUY6IXIlxAO5xPr9X8mwVKVSISMjY9kcIeKN5s/xmSAYsnE6nVCr1UhOTn5POz4r5LKK8LZwIcRCmhEXFhawe/du8cYnkItcaJoWIyVfkKbBAjVFyilpPtMQyiLiS4lmNpthMpk8lGhSA86VPNHey2kxstCHEj35c3yen5/3cHz2ZxXki2xGR0dBURTKysrEFNt7cbyAQi6rBGnvinfT10oWLqsRuYTiDRbPaTGpg8Bag7Q4TeoFJIUzOjqKjo4Oj111enq6x0IX68gh1mkx8plHcg3+HJ/n5ubQ398Pq9Xq1/EZWHrGdDqd+PX36uA0hVyiDH+9K8TCZWBgYEULFzkjF+9F15cabKUbPZ7JJZaQ+z2RpnAqKio85qgMDAygtbXVQ4kW61RlrCMX8vrlJDjvoXUul0tMYxLHZynZpKamgmVZD8LwNRL6vUA2CrlEEf56V6QWLvv27VuxZ0SuGof3cfypwYI5TryTS7xfXzjw3lUTJdrc3By6urrgcDjQ398Pi8UiuxItGMQ6cokGuXhDq9V6OD57fwZOpxMqlQoMwyA5OXmZ4zPgm2zOxCmdCrlECWR34t27Mj09jZaWFmRnZwdt4RKNyGV+fh5NTU1ISkoK2RtMDnIhtadozFWJ5YO4muf2VqKdPHkS6enpsFqtohItNTVVFAdEokQLBmdi5LISpJ8BIDg+NzU1ie0ERHpO1Gjejs8ARAIJNBL6j3/8I/bu3Ytdu3at2muLFAq5yAySBhsZGcHExAR27dolRgxdXV0YHR3Fli1bUFBQEPQx5a65EIv8cCdFRhpJTU9Po7m5WdzdkdSP9MFTEBqIOCQrKwsZGRnLPLmkNinkj7RzXQ7EuuZDyC2W16DX66HRaFBUVCQOUCOzbMbHx4N2fPYmm9/85jdISUlRyOW9Cu80GPEuslqtaGpqAoCwLFzkIhee5zE/Px9yGszX9YQTuXAch56eHgwPD2Pz5s1ISkoSawhtbW1gGMZDhhtpz8dqI9apOOni7u3JJbVJmZmZQW9vLzQajd9mwnDPH+u0WDxsTqQ1l1Adn5OSknySjc1mQ2JiYixfVshQyEUmeFu4qNVqcByH8fFxtLW1oaioCFVVVWHd/HKQy/z8PPr7+wEgYov8cNJiTqcTjY2NcLvdqK2thV6vh9vt9rC6t9lsMJlMMJlMHu7D0p6PYK/vvYhAn4m3TYqvZkK9Xu9XiRYM4iEtFi/k4m/M+EqOzzzPL2uqBQCr1Sr6+kWKBx54AA888AAGBwcBAFu2bMF3vvMdXHzxxQCE++h73/seHnroIczNzWHfvn341a9+hS1btoR0HoVcIoS/8cNksezo6MCOHTsichCmaVo8fjjXR9Rg2dnZcDqdEc9eCZVcTCYTmpqakJmZid27d0OtVi/rt5E+eGSn7W3bkZCQIBJNOIvfmY5Q0lK+mgmlKbTW1lZRBUVSlivVB5XIZek6gvGP8+X47N1U+5vf/AZGoxF6vR5TU1OypB6Liorwox/9COvXrwcAPP7447j00kvR0NCALVu24Mc//jF+9rOf4bHHHsOGDRtw11134YILLkBXV1dIBKeQSwTwHj9MbuzFxUV0dHSA4zicc845Eacbwk1DeavB7HY7hoeHI7oWIHhy4XkeAwMD6OvrQ1VVFYqLi4N+MLzdh0knNYlqiAzXX70mVimqWPeZhHt+tVq9rL+DeKJ5z733LkwTKJGLAH+Ry0rw1VSr0+nw/PPP4/e//z2uv/563HzzzTj33HPx8Y9/HJdeemlY1/fBD37Q4/8/+MEP8MADD+DkyZPYvHkz7r33Xtx+++244oorAAjkk5ubiyeffBI33HBD0OdRyCUMSC0fvHtXhoeH0d3djfz8fExPT0dMLEB4abGFhQU0NjZ6qMGcTqcsi24wBX0psfmamEkKlcHCu5Pa6XTCZDItq9eQOtJ7seYCyEdu3pJbqScaKUxL0zfJyclK5CK5Djmcr2maxv79+1FTU4N7770XXV1dmJmZwWuvvYa5uTkZrlQgwqeffhpWqxW1tbUYGBjA5OQkLrzwQvFndDodDh48iBMnTijkEk34612RzpPfvXs3NBoNJicnZTlnKOQSqClSTtVZoIV0cXERDQ0NYcmcg4VOp/NZr5mbmwPHcaivrxejmlDqNWsZ0VRrec+9l9YKBgcHRTfvqakpsZC92lFMPJAL2XjKOVbBarUCADIzM7FhwwYcOHAg4mO2tLSgtrZWbAJ95plnsHnzZpw4cQIAxE0FQW5urjgFNFgo5BICvMcPk4eH1BRSU1PFxdRqtcrWMR0sKbjdbtGjzJcaTK7mR39pOp7nMTY2ho6ODpSXl6O8vHxVFhjves3Ro0dRWVkJh8PxnqrXrJYU2JcSzWKx4J133hFVUGSGCnnP5YjgV0I8kIt00ykXCLmQ4r4cqKqqQmNjI+bn5/HXv/4V1157LY4dOyZ+3/s+CufeUsglCARj4bJhwwaUlJQsixLkeOCDIRdfaTBvyNnp700uLMuivb0dMzMz2LVrFzIzMyM+T7igaRrJycnIz88Pq14TCWJdc4kFyPsNAFu3boVGo8Hi4iJMJpOHrT0hG2+nYbkQD+RCni85IxebzQadTifrhkir1YoF/ZqaGpw6dQq/+MUv8M1vfhMAMDk5ifz8fPHnp6enl0UzK0EhlxUQyMKlqakJLpfLp4WLdNhQpAtOIFKQ1nkqKipEJ1ZfkMvN2JtcrFYrGhsboVKpUFdXtyq71FAQSr0mIyMj7P6aWNdcYtnESF47cQmWzlAh5E5SaBaLJaD5Y7iIB3IhxrRyfg4WiyXqaUbiClBWVoa8vDy88sorqK6uBiCIO44dO4a77747pGMq5BIA/sYPEwuXnJwcUVrrDbJzCVc5IoW/yIWkwebn54NqioxG5DI5OYnW1lYUFRVhw4YNMX+4CQIt9IHqNYODg2H318QDYk0uvj5/b3L3Zf64khItGMQLuUjXCjlAbP/lwm233YaLL74YxcXFMJvN+NOf/oSjR4/ixRdfBEVRuPnmm3HkyBFUVlaisrISR44cQWJiIq655pqQzqOQiw/4610JxcKF3OTRmiApTYP5s+r3dRy5IheWZdHZ2YnR0VFs3bpV9FaKB4Q6U0XO/ppYp8ViTS7BnD8YJRrpWs/IyEBycnJQx40HcpG7mA9AtPmX67OdmprCJz/5SUxMTCA1NRXbt2/Hiy++iAsuuAAA8I1vfAN2ux033nij2ET58ssvh9zEqZCLF7x7V0iIK7VwOXDgwIpWDORGkNtwMpQ0mK/jyHE9HMeJRdva2tqwdlXx2kUfSn8N2WXLvZiEi1im5aTPS6jwVqIRixSTyST2ZUnTlv5SRPFALnJkKrwht/XLb37zm4DfpygKhw8fxuHDhyM6j0Iu74LUVkjxTJo3HRsbQ3t7O4qLi4NO/ZDcc6DJj8GCkEKoaTBf1xTpAmQ0GmE0GmEwGLB///64WVi9IddCG6he097e7lGvIWaDsYAcg7Li4fy+LFKIJ9rs7Cz6+vpEJRr5Q9KW8UIucj8TpEa11qCQC5aIZXp6Gh0dHTj77LNF3T5RQO3cuVPsXg4WclrlMwyDEydOwGAwBJ0Gk/N6eJ5Hf38/+vv7kZKSgqysrLgllmgiUL3GZDKB4zi0trauer0m1mKCSCKXQKAoCikpKUhJSUFpaSk4jhM90UjaUqfTISMjAw6HI+ZikmilxeSsuawW3vPkIu1dUalUooXFwsICmpqakJCQgAMHDoR108pBLjzPY2pqCi6XCxs2bAgpDeYNErmEmpt3uVxoaWmBxWLBvn37MDw8HPFiFs202Gql3LzrNbOzs+jq6oLBYFj1/ppQah7ROv9qRA1EbOFLiUbkzwsLC+J7LpcSLVhEKy2mRC5rCL56V9RqNRiGEeedRNoISNN0RGkxkgabm5uDSqVCeXl52Mci1wOEVvglwoHk5GTU1dVBo9Eokyj9gKIoqNVqlJWVxaxeEytyiZWvmDRt6Xa7odVqkZKSApPJJCrRpKOgo10ji1ZaTIlc1gj89a4QshkcHIxo3gkBiYTCAVnUDQYDqqurcerUqYiuBfAUGay0u+J5HiMjI+jq6lomHJBT0nwmw1e9hqTPvOs1kfTXAPERucT68+Q4DhqNxmPmvcPhWPae+xvWJdc1KGkxAe85cvHXu2I0Gj0GesnRQRxOWsyXGsxut8vS7S+NXAKB1JqMRiN2794t2rITxHvkEms5rj94jyWWs78m1p9HrE0rAd+bpoSEhGU1MiJ7JuldqTjAYDBEdP9EIy1mtVo9uuXXCt4z5CLtXSEPAtmB9/X1YXBwEBUVFeju7pZt5xEqufhTg8nV7R+MPNpisaCxsREajQa1tbU+a02RpvtWA7FebFeCr/4as9kMk8kUVr0m1pFLrO32yTUEWtgDKdGMRmNAJVoo1yB35GKz2ZTIJV7BcRwYhlmWBrPb7WhubobL5cL+/fuRmJiI7u5u2fKmoUiRpWkwbzWYtCEzkl3RSpHLxMQEWltbUVJSgsrKSr/nivfIJZaIpD5HJkWGU6+JNbnEa+QSCMEq0QjRZGRkrJjRiEbNhTRRrjWc0eQinbtCdv3k4ZuamkJraytyc3NFCxfygK6mm3EwTZFydfv7i1yI88DY2FhQUzPjnVxivYOWA6HWa0hU816PXCJZ2H0p0QjZDA8Po729HQaDwSOy8VaisSwruzpN6XOJM3hbuBBiYVkWXV1dGB8fx5YtWzxymRRFyZryWYlcpGkwX7UN6XEA+bv9AcF6o7GxERzHoa6uLqhOYLkK+tHEmTYsbKV6DVnYJyYmYuKHFi+Ri5wEp1arkZmZKTp8u91usV7T19cHu92+TIkWrYJ+qNYr8YAzklykvSuEMABhB9DU1ASapv0upHJ11QOBySVQGswbclrJSIlhdnYWTU1NyM3NxaZNm4J+KOSIXEwmE2ZmZmS3vH8vwFe9ZnZ2Fq2trR71Gqk4INrza+JFLRbN+8ifEm1ubg4dHR1wu91QqVRiVCmXEk1u+5fVwhlFLoHmrpAhVivVE+SMXHwRVTjeYIQg5Rr0xXEcent7MTAwgM2bN6OwsDDkY4R7LTzPY2BgAH19fcjIyMDExARYlkVaWpo4XyVSe/FYL3KrDZqmRRnz7t27PRoLV6u/Jl7SYqu5SfFWoklruE1NTeB5Xryvw1WikamfSuQSQ/jrXWEYBm1tbTAajUFZuETSm+IN78gl2DRYMMcKFxRFob29HW63G/v37w/rpg03cmEYBi0tLVhYWMCePXuQkJAgmoKaTCZRsaPRaDxGFIcjC49VTSge+kyCqdekpqaK77EcjrvxkhaLlSURRQmjnTUaDYqKipCTkwOLxSK+7/39/R41nYyMDPH+XwlKn0sMwXEcXC7Xst4VYuGi1+tx4MAB6HS6FY8VrbRYKGmwlY4VLubn5+FyuWAwGFBbWxt2qiQccrFYLGhoaEBCQgLq6uqgVqvhcrlAUUsjc0tKSsCyLBYWFmAymTA0NIS2traQp0bGegcdCwRKS0Wzv4bgvRi5+IJ0nktycjKSk5NRUlLiMcphamoK3d3dHkq09PR0v+uTzWZTIpfVBkmDETWYNA1GLFzWr18fE1t6ciyn04mhoSF0d3dHZCcTqekkScVpNBpUVFRElIMPlVwmJyfR0tKC0tJSVFZWBhQEqFQqkUgAwdfMZDLBZDKhra1N9hSanIi1gi6Y9yHY/ppQ6zXxErnE+l7wFz15j3JgWVZMXY6MjCxToqWlpUGj0YBhGDgcDtkilx/+8If429/+hs7OTuj1etTV1eHuu+9GVVWV+DPXXXcdHn/8cY/f27dvH06ePBnSudYsuZA0WGNjI1JSUrBu3TpQFAWn0ymaLO7ZsydkCxc5IxdA6PyfnZ0NOQ3mjXDJhWEY0Z+spqYGra2tsphOBnMtHMehu7sbo6Oj2L59e8gzuAFhsJR01x1sCi3WC/1qI9yCur/+mlDrNatd0F9YAMbHaYyNUbDbKWg0PNraMuF265CcrIJazUOrBTQaQKPhodEAWi2QmSl8PVoIts9FpVItU6KRvqa+vj7YbDY8/vjjMBgMyMvLky3dd+zYMdx0003Ys2cPGIbB7bffjgsvvFAkN4KLLroIjz76qPj/cFLTa5JcpBYuRF5MURSMRiOam5uRlpaGAwcOhLU7l4tcFhYWMDIyAoqicNZZZ0VsJxOO/JekonQ6Herq6qDT6WQRBgQTuTidTjQ1NcHlcoU9UMzXeYNJobndblgsFqSnp6/6bjperWeCRbj1GjmjhsVFgThGRynJ3xRGRwUyGR+nYTb7OlfdisfW6Xjs2sVi/37hz969LN5d32VBuPYvGo0G2dnZYk2YZDyef/55zM3Noby8HHV1dTh06BA++tGPekQaoeDFF1/0+P+jjz6KnJwcnD59Guecc474dZJKjQRrilx8jR8m0r/u7m4MDQ1h48aNKCoqipmTsdTwkUQqsfApGx8fR1tbm0cqCpCnR2Ulgpqfn0djYyPS0tKwa9euqFme+0uhkXthYGBATO/EWwpNbkQrcgi2XkNGOYQChgG6u2k0NNBoaFChsVGFzk4ai4vBvY60NB5FRRwSEwG3m8fcnBVabRIYhoLbDbjdgMsFMAwFl0v4t9NJ4c031XjzzaV7sqpqiWz27WNRUcEj3LdSLlGBTqfDpz/9aRw4cAAHDhxAS0sLXnvtNfznP//Bxo0bwyYXbywsLADAsqzK0aNHkZOTg7S0NBw8eBA/+MEPVmyu9saaIRfv8cNSK5Px8XFotdqw1U9SRKIWc7vdaGtrw9zcHHbv3g2bzYaJiYmIrocg2IiD4zh0dnZiYmLCZ7d9NCMXKbGuX79eTFWuFkgKbWhoCOXl5dDr9bKr0AIhlqm41UhLBarXjI+Pw+l04s033/RZr2FZgUjq62k0NgpE0txMw273fc1paTwKCzkUFAgEUlgo/J/8XVDAQxoMu1wuHD9+HOeee67fyIHngd5eCm+9pcLJkyq8+aYKPT0qdHUJf0iZobqaxU9/6kBNTeims3Ir1kh3fmVlJTZs2IAbbrhBtmPzPI9bbrkFZ511FrZu3Sp+/eKLL8ZHPvIRlJaWYmBgAHfccQcOHTqE06dPByWKIoh7cpFauHirwSYnJzE+Po6EhATU1tauuh+YFFJlGklBORyOVbWSId32PM+jtrbWZ+OVHJGLL3JhWVac2rlr1y4xlxwLEDcGuVVo8YxYNDFK6zWkzyM3NxdG4xyOHp1GS8sChoezMTCQjq6uRNjty9/fpCQeO3aw2LmTQ3U1i23bOBQXcwjV7SSYSZgUBVRW8qisZPCJTwjZD6ORwltv0Th5UiCc+noVGhpUeN/7EvGpT7lx+LALmZnBbRqkbRByIZqzXL74xS+iubkZx48f9/j6VVddJf5769atqKmpQWlpKf71r3/hiiuuCPr4cU0ugeaukN15bm4ueJ6X1ck4FHKR7ta91WByK88CHWtmZgbNzc3Iy8vDxo0b/b4f0YhcbDYbGhsbQVEU6urqYj5q1hdWUqExDLPmU2ixvN7RUQ1OnEhFZ2chXn+9FLOzyxdYvZ5BZaUV27e7sW+fCvv3a1BZyUOOtdh74xksMjN5fOADLD7wAeGZn56m8J3v6PDkkxo8/rgWf/+7BocPO3HttW6stMSQ51POyIVMoZT7s/3Sl76E5557Dq+//jqKiooC/mx+fj5KS0vR09MT0jnillykFi7Sm4ZYwqtUKtTV1WFmZgazs7OynVelUsHtdgf1s1Illi812GqQC8/z6O3txeDgILZs2YKCgoKAx5ErcvG2kMnLy8OmTZviZve/EoGGq0JbCfHQRLkamJmhcOyY6t0/agwObvb4vl7PY+fOpYhk504WBQUWLCyYRMuU6WkabvdSU2Ekfmhy9bjk5PB48EEHrrvOja9+VYeWFhVuvjkBjz+uWTFVRoRFcn4OVqtVVusXnufxpS99Cc888wyOHj2KsrKyFX/HaDRiZGQk5JkycUcuoVq4yC0dVqlUcDgcK/7c4uIiGhsbPdJgvo4VTZ8yYjPhcDiCrjfJFbmQOTj9/f1hWchEE6E+3HKl0GJdc4kmFheBN94QiOTYMRXa2jx35yoVj23brHj/+zU491wWe/awPiS/BqSkLK/XTE5Ooru7OyI/NLkbKPfvZ3HsmA2PPKLBXXfp0NCgwvnnJ+Kvf7Xjfe/z/Ux7b4TlgNyOyDfddBOefPJJ/P3vf0dycjImJycBAKmpqdDr9bBYLDh8+DCuvPJK5OfnY3BwELfddhuysrJw+eWXh3SuuCIXf2kwUig3mUyorq4WZZKAIJ2Uk1xWSosFSoP5Ola0Ipe5uTk0NjYiPT0d1dXVQSuy5IhceJ6H0+nE6Ogo9u3bh5SUlIiOF29Yiyk0uSMXlgXeeYfGyy+rceyYGqdP02BZz+Nv28bi4EEWBw8yyMrqQFqaChUVFUEdX67+GoJodOer1cDnP+/GFVcw+MpXdPjXvzT4whcS8OabVp/y5bUw4viBBx4AAJx77rkeX3/00Udx3XXXQaVSoaWlBU888QTm5+eRn5+P8847D0899VTIYqm4IRd/44fn5+fR1NSExMREnxYu0Yhc/C2+K6XBvCEnuRBS4HkeQ0ND6OnpQWVlJUpLS0NaVCKNXCwWC9rb20XRgNyKK7kg504+2BSanJ93qJCDXCwW4LXX1Hj+eTVefFEFo9FzsS4r43DuuQwOHmRxzjkssrKW3uOODhY0Hb7rQ6R+aNG0fsnJ4fGb3zhwzjk0urtV+MpXEvC73zmWyZWjMeJY7imUKz0Xer0eL730kiznijm5+OpdkVq49Pb2BnQPJn0ucsEfWQWTBvOG3LNhGIZBY2MjFhYWPMYgh4JIIhdi4yIogoyyNIZGo1YQzSgiUAptenoaDocDp06dEnfcaWlpq1aHCud1j49TeOEFNV54QUh3OZ1Lx0hL4/G+9zE4dEgglJIS/wuT3NYrwfbXkAgy2r5iiYnAI484cOhQIp57ToMnn2Tw8Y97rjvRilzW4qAwIMbk4t27QophxMLFarViz549SEtL83sMuSMXb0IIJQ3m69rk2skyDIPJyUmkpqairq4u7IU9nMhFauOyY8cOaLVaGI3GsM4vRTzMAIkU0hSawWDA2NgYioqKPHbc0jpCOLbrwSDY95LngeZmWiSUhgbPxXDdOg7/8z8MLr6YQW0ti2DLHtH8LAP115B6jUajAc/zmJ6ejtr8mp07OXz72y4cPqzD17+egLo6K8rKlp6laIw4jqYUOdqICbkEGj88OzuL5uZmZGRkoK6ubsWbRM4F3Pt4oabBvEEW8kgfvLGxMUxNTSE5ORk1NTURHSvU1I0vG5eFhQVlEqUf0DQdMIWmVqtFMgpmJnuwCPR6nU7gv/9VvZvuUmN0dGmHT1E89uzh8IEPMPjABxhUVXFhdaevpnGlr3rNwMAApqenoz6/5itfceHll1U4cUKNz35Wj5dftolS6milxSLxJIwlYha5MAzjQSwcx6GnpwfDw8MhWbiQyEWunRM5XjhpMG9IxxOHc3OTfp7JyUnk5uZCrVZH/BpDcTSen59HQ0MD0tPTPWxc5BpcFi3ESzQUKIVGZrInJSWJRBNJCs37/nc6gVdfVeHZZzV4/nk1FhaWvpeYyOPQIYFM3v9+FtnZkX+WsXQkVqvVYmSzc+dOj3oNmRAp1/walQp46CEH9u834O23VTh1isa+fcJGay0U9FcTMSEXMlmRwGazoampCSzLora2NqQcI/kwWZaVxcOKoii4XC689dZbEVnke19bqDedd2Pi2NgYbDZbWNchRTB1IGkq0JdoINxhYauJeBwWFkiFJk2hkTRaKCk0QWlJ44UXfBNKXh6Hiy8W0l0HD7KIoKXE7/lj2eMkrbn4qtcQsvFVrwm1v6akhMdZZ7F48UU16utVIrlEIy22VqdQAjGMXKQWLq2trcjPzw/YWe4PcpILwzDo6+sDwzDYu3dvxOGoNHIJBdPT02hubkZBQQE2btwImqZlixZWIgapjYu/VOBaIJe1AG8VGilak8mFwaTQSITy5JO5+M9/ymGxLD0DeXkcLruMweWXM9i3j5WlE94fYj1LxV9BX1qvKSoq8lmv0el0Hg2zwdRrqqsFcmlsVAEQmq6jkRZTIpcwwLIs2traMDExga1bt4Zt70w+zEiL+iQNptVqQVGULHlOacovGJDZ9kNDQ9i6datHR6ycY479HYdESzRNB7RxkYNcoq3oigUieU98Fa29h0mRFFpSUgbq6zPx97/rfEYol17K4Iorok8oUsRanBHswi5Xf011tbDeNDQsnTMaaTFi/7IWETNy6e3thdlsxoEDByKyfaAoKiLFmLcaLD8/H6+//rpsD0uwpEAK506n02dqUC5y8RcBERsXEkEGelAJuUT6HkVzMVrrkRVN0+JuuqKiAjabC//6lwM/+5kWx46lwWpd2l3n5rI4//wF1NaO4hOfKFs1QpEi1mmxcM8fqL8mUL2mulp4Fru6aFgsQFJSdCIXRS0WBiorK1FeXi7LhxFul75UDUacfF0uFwD5diHBEJ/JZEJTUxMyMjL8zj+Rk1ykx+F5Hv39/SHZuBBSiIRcOI7DwsICDAZDVGSjZwJ4Hjh9msaf/6zB3/5mwPT00rOSm8vife9bQF3dKIqKhqBSUVCr1Zie1suqQgsW8ZoWCxWh1Gvy8ysxMaFCc7MKdXUsWJYNS/jjD0RtqNRcQoRKpZJtdxlO5OJPDRZJEd4XApGCtFG0qqoKxcXFUbeSkaa03G43WlpaYDabQ7Jxkc7SCQfEE21ubg48z4s7w8zMTFkcYGO5yMlx7t5eCn/+swZPP61BX9/SgpmRweHyyxl8+MMM9u9noVJpAJSB4wTHWpPJtCyFRrzQ5E7XeCPWkUs0mihXqteUlKRiYiIfL744i/Xr3WAYRlaTSUCpuYQFOReAUMhlpaZIuWo40uP5IgWysC8uLq7YKBroOOFej9lsRkNDAxITE0O2cZFGLqFicXERDQ0NSE5OxoEDB+B2u8Ui9tDQkIeiKpIdeCzSYpGcc3qawl/+osaf/6xBff0SEej1PP7nfxh85CNunH++76ZGmqaRmJgIl8uFbdu2weVyLUvtpKWleTR7yk3A8VBzidbEUwLvek1NjQZvvQVMTSVgYKAbVqsVi4uLcLvdspG6UnOJMYIlF19pMG8QmbSchpPe10aipsTExKC77eUwnCTHsdvtOHnyJNatW4f169eH5SIMhL6YTkxMoLW1FWVlZSgvL4fb7YZarUZRUZG4M/TuAyHF1czMTKSkpMSNpb8cMJuBf/xDIJSjR1XgOOF9Val4nHcei49+1I1LLmGCGpwlXdy1Wi1yc3PFWUfhqNBCxZmSFgsFs7MCcWzcmIp9+/bh9OnTIsnL0V/jcrngcrmUtFgsEQy5hNIUKaeljLeDwOjoKDo6OkLuoZGD8DiOw+TkJKxWK6qrq0OeiU0QKrnwPI/u7m6MjIyIo5d9/a40n11RUQGXywWj0QiTyYSWlhZwHIf09HRkZmYG7E+I57QYxwnd8n/4gwbPPaeGzbb087t3C4Ry5ZUMcnJCI25/n4UvFRohcDlTaLFOi8Xi/OPjwmdXWLj0XKanp8vWX2O1WgFAiVxiiUDmleF4g8ltOMlxHFiWRUdHB6amppaNDQj2OJGkXZxOJxobG2G325GUlBQ2sQBLC2gwZOdyudDc3Ay73Y79+/eH9KBotVrk5+cjPz8fPM/DYrHAaDRiamoK3d3d0Ov1Hv0J0a4rRIK+PgpPPqnBn/6kwcjI0iJYUcHhox914yMfcWP9+vA/32DTUr4IXI4U2nsxciE2OoWFwucmrdMGqteQ+3el/hpCLkrNJUSsRs2FYRhxDkwoc93l9CujaVpMQ6lUKhw4cCCsMcCRRC7ExiUjIwNFRUUYHh4O6zgEwUYuZrMZ9fX1SEpKwv79+yNShVEUheTkZCQnJ2PdunVgGEZcFLu7u+F0OpGWlobMzExx0Nxqw/v9WFwEnn1Wgz/8QY0331x61FJTeVx5pRvXXOPGnj3heXn5Onc4z5RcKbRYRy7RkAEHAs8vj1wCKUyD7a8hUU1SUpI4hVKu1/XDH/4Qf/vb39DZ2SlmcO6++25UVVVJXheP733ve3jooYcwNzeHffv24Ve/+hW2bNkS8vnOmMjFX10jHG8wOdNipOu/uLgYVVVVYd8o4ZCLLxuX6elpWcYcr9RISez5w63rrAS1Wo3s7GxkZ2eD53nY7XYxhba4uAibzYbFxUUxhbZacmeWBV57TUh7/eMfatjtwuumaR6HDrH4+Mfd+MAHmKjYr8ihsgs3hfZei1xMJkocT5CfvzxyWQkrza+57rrrUFBQgMzMTDQ0NKC6ujri13fs2DHcdNNN2LNnDxiGwe23344LL7wQ7e3tYnT04x//GD/72c/w2GOPYcOGDbjrrrtwwQUXoKura+0OC4sEUjKQLqhlZWWoqKgI+aaXIy1GjDgXFxeRn5+PTZs2RXS8UMmFOCDMzs562LhE20aG53n09PRgaGgI27dvR25ubsTnCuZaEhMTkZiYiOLiYlEsQdO0OKY4JSVFFAYkJyfLvhAND1P41a+y8Ne/lmF6eikyrapicc01DK66yo2Cgugq2ORe3ENJocXaJXu1yWV0VHivc3I4kH1rJNGTtL+G4zj85S9/we9//3s8/fTTOHToEDQaDQ4dOoTvfve7YUURAPDiiy96/P/RRx9FTk4OTp8+jXPOOQc8z+Pee+/F7bffjiuuuAIA8PjjjyM3NxdPPvkkbrjhhpDOd8akxVwuV9hpMF/Hi+RhcTgcaGpqgtvtRnZ2tiw501DIJZCNi5yqM29ycbvdaGpqgs1mC9mAVE4QsikqKgIg7AqJ7f3Y2Bh4nvcQBoSTpgQAlwt4/nk1Hn9cg1dfVYHnhdebliakvT7+cTd275Yn7bUSVkMKHCiFBgD19fXie7rajZyrTS5LKbGlZ0CuxmuaprFz506Mj4/j+PHjaGpqwqlTp/Dvf/9b1j6ahYUFABA3ngMDA5icnMSFF14o/oxOp8PBgwdx4sSJtUMugHwGiCqVCg6HAydOnIjIIl96vHAjF6PRiKamJmRlZWH37t3o7OyUJcVGyGWlRWRmZgbNzc1+bVyiFblYLBbU19fDYDCgtrY2qDRUtAwwvd8fnU7nIQwwm80wGo2YmJhAV1cX9Hq9uCimpaWtuEB0d9N44gkNnnxSjdnZpfd3/34rLrpoFDfeWIAw+SpsrHZfjzSFVlhYiKNHj6KqqgpmszkmjZyrXfMhvUjr1nHi+eX2FiNTKNVqNWpra1FbWyvbsXmexy233IKzzjoLW7duBSCksgEsyzbk5uZiaGgo5HOs+bQYWSxmZ2exfv36sNJg3ggnLcbzPAYGBtDX1+cxj0YuccBKlivB2rjIGbmQ40xNTaG5uTlq9RU5QVEUUlJSkJKSgrKyMrjdbjHV09nZ6ZHqyczMRGJiIiiKgs0GPPusGk88ocGJE57Ow5/4hBuf/KQbavUw5ubmkJBQsOqvK5ZNjITY0tPTkZOTI6sKLVisZkGf54V7AQAuuogRzw9A1muIpq/YF7/4RTQ3N+P48ePLvuf9uYR7b61pciFpsNnZWaSkpGD9+vWyHDdUQnC73WhubobFYsHevXuRmpoqfk8uWbPUvt/7Bg7FxkWuyIVEUj09PRgcHMS2bdvCdraOBoJ9jRqNBjk5OWLvDUn1GI1G9Pf3Y2oqDa+8UokXXsiG2SzsSmmax/vfz+Laa1248EIWpDF8ZCRar2ZlxJJcpGPKCQKl0AYGBjycGNLT0yP25FrNtFhHB42uLhW0Wh4f+AAjnh+ArJFLtLrzv/SlL+G5557D66+/LqaOAYjP7+TkpIcj+/T0dFi10zWbFiP2JXq9HpWVlZiYmJDtukJJiy0sLKCxsRFJSUk+bVRomobb7Y74mvzNhgnVxkVO94Guri64XC7s378/rrqIw11kSapHpzOgoaEMDz+sxrFjS+m9nBwrLrlkCh/7mAObNgnRj/e54rmBM1ogz7C/xX01GjlXk1yeeUZYNt/3PhZkH0nWCzk/A7l9xXiex5e+9CU888wzOHr0KMrKyjy+X1ZWhry8PLzyyiuorq4GIPSpHTt2DHfffXfI51tzkQvP8xgdHUVnZ6eoBpuZmZFNOgwEP62RXEeg5sxoRC4ExE4llHSUHHUOi8UCl8uFhISEoOsrawFTUxQee0yDRx/VYHxceL8pisdFF7G4/noXDhywYX7eDZNpAU1NAwAgLojhikfkQjykxUJxm5Cq0KT+cuGm0FaTXEhK7LLLljaNpN4iN7nIGbncdNNNePLJJ/H3v/8dycnJYo0lNTUVer0eFEXh5ptvxpEjR1BZWYnKykocOXIEiYmJuOaaa0I+35oiF5IGMxqNHmowOftSyPECRRtSme9KqjS5ai5ScuE4Dl1dXRgbGxPtVEI5TiTXQ6ZkqlQqVFZWxi2xBG9NA5w8qcKvfy3YsTCMsDhkZXG49lo3rrvOjdJScqwEJCYWoKCgADzPY3FxEUajEePj4+jq6oJGo4FKpYLJZFoVJ2LP1xG7+TWkxyXchVWj0USUQiOzhVaDXHylxIDojDi2WCyykssDDzwAADj33HM9vv7oo4/iuuuuAwB84xvfgN1ux4033ig2Ub788sthZSbWDLlI02AHDhzwuMGiQS4Oh8Pn96xWKxoaGqDRaAJOaySQ2wTT4XCgpaUFbrcbtbW1IYfN4Q764nkefX19GBgYwLZt29DT0xO3A7mCeV1ut7ADve8+LRoalhaFvXtZfPazLlx2GYNAZQCKosSOa2LC2d3djYWFBXH3TbqtMzIyRGFAtBDryEWuc4eTQiNYDXIhKbFDh5ZSYkB0BAU2mw3Z2dmyHS+Y55WiKBw+fBiHDx+O+Hwxr7msBF9pMO/fk5tc/KWyJicn0draiqKiImzYsCGom4miaBiNKhw/TqGnh0JvL4X+fgqLi4ICyeEA7HbAZqPgdgPJyTzS04VeibQ0ID0dyM7mUVXFY34+GTzfhLy8DOzevTssi3HpLJZgFwSGYdDc3Ayz2SzWV3p7e+OWXAJhYQF4/HENHnxQK3pDJSTwuOoqN66/3o0dO8LbCGg0GiQnJ4PjOGzduhVWqxUmkwmzs7Po6+uDVqsV02fp6emy28PHuqAfrXMHk0IjAhabzQaNRhPV98FXSgyIzohjudNiq424jlz8pcG8QchFrgfMO5UlTUNt27YtoHKCYYBTpyi88gqNV1+l0dZWBrO5IuhzT0wEuv5zoVLxWL+ex6ZNPHbv5nHuuRyqq3kEu1ZJTSeDIUer1Yr6+nqxvkIEA3KpzqIF72sbGqLwwANaPPGEBhaL8B5kZ3P47GcFUsnKkue1kPRQUlISkpKSUFJSApZlMT8/D6PRiL6+PtjtdqSkpIi9NcnJyRHft7GOXFar3uErhTY9PY35+Xk0NjZCrVZ7RIxyToZsbaXR2bk8JQZEJ3JZy1MogTgmF5IGS0hIWJYG8waZaiknuZDIxeFwoLGxESzL+k1DTUwAzz9P49//pvHaazTm56P3kLMsha4uCl1dwLPPCl9LSeFxzjkczj2Xx/vex2HTJv8LZShTJEl9pbi4GJWVlR4Pj1wNkNFYFKXH6+6mcc89Wjz9tFqcl7JpE4svftGFj3yEWZVmR5VKhczMTHFzZLfbPQak0TTtYQ4Z7oJ4JqTFQgFJoeXl5WFgYABnn302FhcXYTKZxNEWJIWWnp4eVINsIPzkJ8LG6gMfYOA92y8aNZe1PIUSiMO0WDBpMG+QD5VhGFksJwi5kG777OxsbN682ePm4XngxAkKDz6owjPP0GIhOBZYXKTwz3+q8M9/Cv/fupXDVVdx+MhHWKxb5/mzwTgaSxsyt27d6qF5lx4nniOXnh4tvve9BPz1r2rwvPCazzuPwZe+5ML73sdGxZIl2PdDr9ejsLAQhYWF4DjO74KYmZmJ1NTUoHbEZ2paLNjz0zQNlUq1LIU2NzcHo9EoNsimpqaKqclQhnd1dNBiveUb33D5vAYlLeaJuIpcgk2DeUM6914OkGmN9fX12LRpk0ejkc0GPPUUjQcfVKGpKT6nIra20mhtpXHHHWrU1nK45hoWV1/NISnJf78MAcMw4vjlQA2Z8Uoura00vv3tSrz2WoZIKpdc4sY3vuHCzp2xNVf0BZqmkZaWhrS0NJSXl4ud7UajEW1tbWBZVhwlQIQBvhDLzyLWdvv+Urz+GmSJzT0ho2Aixh/9SAuep3DppW5s3br8PpI7LUauV4lcZIDZbEZjYyN0Ot2KaTBvkNHEcpCLy+VCf3+/qMYiiyvLAr/9LY3Dh9UwGuPX3sQbb75J4803adxxB4/rr2fx+c8L75EvciFKOK1Wu2JDplw2MnJhcJDC4cM6/O1vGgDCA3nZZW58/esubNu2etcZ6Q7eu7PdarXCaDRiZmYGPT090Ol0ItFIhQFK5BJ4YQ+kQhsbG0NHRwcMBoNINNIUWlsbjWeeEST3t966PGoBoidFVmouYYLsfkNNg/mCHIqxhYUFUe6s0WhEYjl1isJXvqJGfX18RirBYH6ewk9+osa996pw4MBuZGTQ2Lt36fszMzNoamoKWgknR+RiNpuhUqkicnqdnwd+8hMdHnxQA5eLAkXxeN/7TPj852dx4YWr6/Eld/QgFQaUlpaKA6ZMJhN6e3vhcDjEGe1yuECEi3iNXAJBqkID4DeFlpGRge9/XxDkXH65G1u2+N6oRCMtpkQuEYBIXENNg/lCJOQinQGzfv16ZGRk4J133sHsLPCd76jx6KO0mGJZ62AYCseOFeHgQR5XX83hO99xg+MEw80tW7agoCC4BTkStRjP8+ju7sbQ0BA4joPBYBAL3sHWGNxu4De/0eBHP9LCZBJ+/rzzGNx1lxMqVe+K88nXIrwHTEkHpC0sLMBiscBsNq+65f1aiFxWgncKjYgu3nrLieef14OieHz4w+2YmND7TKFFIy2m1FwiwMLCAlwuV8hpMF8Il1ykM2DIUC2r1Yp33snApz6ljSgFRlF83JISz1N48kkVnn6awoc+lIAf/GAfCgr8G156I9zIhWEYNDU1wWq1Ys+ePVCr1aJMl9QYyKyVzMxMn02qp0/TuOmmBLS3CzvFjRtZfP/7Tlx4oVCo7+iIz/dcbuj1ehQVFaGoqAgNDQ2ipJk0GyYnJ3s0G0YruohlSg6Q3/pFOnzuG98Q7r9LLrFjyxb4TaGxLCur7JnMp1LSYmEiKytLFo0/EB65WCwWNDY2QqvVijNgeB546CE9vve9faJ01R9WIg+aFmo18Qy3m8Zf/1qG117j8eMfM/j4x4MbbhUOuZCeGb1ej/379wMQFgZpjcFiscBoNGJychLd3d1ITEwUlVNabRp++EM9fvUrDTiOQmYmhzvucOFTn3Iv6/OJVYE7lotsYmIiCgoKRMt74u7c2toKjuM8BqTJGdmt9qCu1Tp/UxONf/5TA4ricccdvOgh6GtMg1qtRlJSEsxmc0gqNH+wWCwAoEQukUCuhzFUciGmjyUlJWIPh8sFfPnLajz2WHC5UymxJCXx0OngEemwLAWViodazYLjVHC743dHbTJRuP56Df70Jw733edeJmH2RqjkMjs7i6amJhQWFoo1He86AUVRSE5ORnJyMtatWweGYcQF8s9/nsDPf56FiQkh1XPFFQ789KcMMjPjT7EWC3hHD1qtVhybKyXtqakpdHd3IyEhwUMYEEm94EyLXACh1eDOO4VI5MMfZrBx41KtxVcKraWlBU6nE/X19bL0LVmtVjGCWquIObnIBbVaHRS5cByHzs5OjI+Pe5g+zswAH/uYBm+8EfgmVal4sKzng0TTPGw2iJ3faWk8nE7B2oXjAKdz7bzN//43jV27tDhyhMENN/iPYoJVi/E8j6GhIfT09AQcYuYLarUa2dk5eOqpQnznOzqwLIWcHDduvrkTW7YMoKdHD5Np+QTJWLsDx+rc/l63L9ImO+/u7m44nU6PAWmhDvJaiwX9lfC3v6nxyitqaDQ8br3V6ffnCAHodDrk5OQgLy9P7FtaSYUWCKSBMp4H762EtbPqrYBgIhe73Y7GxkbwPI+6ujpxV7C4CHzgAxq0tAS+QTMyeJhMwoedmckjIQEYH4eYPktN5aHVAhYLYLdLd5Hsu1JpxHX0QmCzUbj5Zg2OHmXx4IPLu5GB4CIXjuPQ3t6OmZkZ7NmzB2m+DhQAZjNw000JePZZQQZ61VVu/PSnDqSkrAPDFC1T95C0D8MwcevWHC2EEj0IpJ0tmiJKB6QNDg6KLsQkslnpvTwTCvpSGI3A178uRBtf/aoLlZUrbxpIQd+7b0maQiPzj4gKLSMjw28KjUyhVMglTMj5xq1ELmS2fG5uLjZt2iTuHlwu4KqrViYWACKxZGTwcLuXUmAbNnCYm6MwM7P0etLSeNC0cHyLZfWs1+XEs8+q0NhI4w9/cGP3bs8HbCW1mNPpRENDAziOQ21t7Yru0d4YH6dw2WV6dHaqoNHw+NGPnLj+ercYSUkXSKKsMZlMmJmZwdzcnBjJZmZmRmz7sVYQ7vNEitdFRUXgOE6UOw8NDaGtrQ3Jycki0aSkpCxbyM+0yOVb30rA7CyNTZtYfPWrvvtavOGvz8WfCs1kMmFwcNBvCk1uGfLrr7+Oe+65B6dPn8bExASeeeYZXHbZZeL3r7vuOjz++OMev7Nv3z6cPHky7HPGPHKRq9PbH7nwPI/e3l4MDg4uS8vwPHDDDWq89pr/GzM5mYfZLDy06ek8GGaJZNLTeWRm8ujvp8AwQn0lN1c47uysZ5RCiv86HQ+nc+3sRgYHKZx3nga//jWDq69eSoMF+txIv1B6ejq2bt0a8sI+PEzhkksSMThIIz+fw+9+Z8fevf5TcN5GkR0dHWAYBjzPi7tF0uWemZkpDkaKBta6v5d0sQOETQJZDFtaWsDzvNjVTtR8Z1Lk8sorKvzpT0IR/5e/dAQcu+B9DSvd51IVGiFy7xRaYmIinnrqKWRnZ8siDCCwWq3YsWMHPv3pT+PKK6/0+TMXXXQRHn30UfH/kUrZY04ucsEXubhcLjQ1NcFut/scxXvHHSr88Y/+b4jCQhZTU8JNu349B4eDwugoBa2WR2Ulj8FBCr29wvfLywXiGR5euhn0eh56PQebjYfDIbzVa4lYCFwuCp/+tAZDQwy++U1B7uuPXIhQoqKiAmVlZQEfDl/f6+8XiGV0lMa6dRz++U8bSkpC23zQNA29Xo/169eLNhpGoxGzs7Po7e0Vu9yJx5RcUU2say7RgE6nQ35+PvLz88HzPMxms4eaT6/XQ61Wi89fLCJEucjFbAZuvlmIsL/wBXfADY03wulz8ZVCGx0dhclkwnPPPQej0Yjzzz8fF154IS644ALs2LEj7Nd58cUX4+KLLw74MzqdDnl5eWEd3xfOKHJxOpcKb8SCOzU11eco3j//mcZPfhL45Y+NCQ9KXh6PqSkKZjOFzEyBWE6eFD7kwkIeKSk8urspsKxAPPn5Qt3FaKRgty89bGo1H1ODy0hx+LAag4MU7ruPWVbQJxHi0NBQ0NMxvRfEuTngwx8WiKWyksU//mFHQUHoi6aUtKS2H8T+ntRquru7xRw4IZtoD/WKFlZDsUVRFFJSUpCSkoKysjJRGDAwMACr1Yr//ve/4nsZ7HhiOSAXudx5pw4jIzRKSznccYf/Ir6/a4iUWDUaDcrKyvD444/jkUcewdNPP40rrrgCL7/8Mu666y40NTUtm3svJ44ePYqcnBykpaXh4MGD+MEPfhDSlFtvxJxc5E6L8TyP4eFhdHd3o7KyEqWlpctucKMR+OpX/b90jYYXU1plZTyGhoSifWGhMDeFEMvevRz6+iiMjS0RDcsKs0MAQUWWnMxjYUH4/lomFoLHHlPBagW++U0KNC2QC3FasFgs2L9/f1jafIYBPvMZPXp7aRQXc3j+eTtyc+XfjatUKrHLneTAjUYjjEYj+vv7odVqfXp3xTtiIQcmda+FhQUwDIPi4mIxhdbf3w+NRuMxIC1aIgs5Fva33qLx0EPC9f3iFw6EWu6QO2qz2+3Izs7GjTfeiBtvvBFutzuqIpWLL74YH/nIR1BaWoqBgQHccccdOHToEE6fPh12c+jaeHKCAJl739TUhLm5OdTU1Ii+Qd741rfUHsV3KUpLeYyPC//es8eB1lYdOI7Cnj0choYojI1RSEnhsWULj7ffFqKV4mIeqak82tspcBwFlYoDTQNqNSUSy5mEp59WwWwuxfe+1w+bzYb6+nrodDrs378/7Dztj36kxX/+o0ZiIo8//jFyYgl2pCvJgRcXF3sM9SLeXVJH4mB24rGMemJZ71GpVB7GkCzLYmFhAUajEQMDAz6FAXJdL8dxES28TifwxS8mgOcpfPzjbhw6FFrnM8/zsosKvK1foq1+vOqqq8R/b926FTU1NSgtLcW//vUvXHHFFWEd84whF7fbjfn5eaSnp4vd9r7w2msUnnjC9w7DYOCxsCAU4gsL7ejs1MJup7B9O4fJSQrT0xRKSnhkZPB4803hRqqs5LCwQKG1Vfh/drYNLKuFyaRGDL0Eo44XX0wDzxfhi198E0VFBaiqqgr74Wpro/Gznwmk9MtfOrB9e2QuxuEuWt5DvaQSXbITl9ZqvKOaWNdc4mkSJZEzE2GAw+EQo5qRkREAEL+fmZkZkXVKpAv7D3+oRVeXCjk5HH7wA0dY5wcga+RisVhi2p2fn5+P0tJS9PT0hH2MmJOLHA/E+Pg4+vr6oFarUVNT4/eYdjvwxS/6f8k2m9B1n5nJY35eA6tVhdJSobdldFRIi2Vl8aivp6HR8Ni/X4henE4KaWkMABYzM2u3ozZUvPRSDsrKanHvveG/Zo4DvvzlBDAMhUsuceMjH2FW/qVVglTZQ6Iak8kkjiqW1mpi7V4bS2ILJi2VkJCAgoICFBQUgOd5USU1Pj6Orq4uD5uf1NTUkBbqSMjlxRdV+NnPBGL76U+deJcLQwIREskZudhsNr+zlFYDRqMRIyMjPgcFBouYk0sk4DgOHR0dmJycRHl5OSYmJgKS1aOP0ujr830DpKbyWFgQUl5FRTyamtQoLnZBq1Wjp4dGQQGPggIep07R0OkEYjl2jNRa7HC5KMzMJICieOj1pDt/7ddYVsKDD6Zj+3Y3PvOZ8KKNF15Q49QpFZKSeNxzT2hF1ECQe7GVRjWVlZUejsQDAwPQaDTiH4ZhVr1WE2+RSyBQFIXU1FSkpqairKzMw+6+o6NDbIglkc1KIotwyWVoiMLnPid4rH32sy5ceml4G5tokIvVao1oYfeGxWJBb2+v+P+BgQE0NjaK7/Hhw4dx5ZVXIj8/H4ODg7jtttuQlZWFyy+/POxzrllysdlsaGxsBADU1tbC4XBgdHTU789zHPDAA753Q4WFPBYXhX/v2sXj6FEaKhWP8nInjh3TIiWFx4YNwtc1Gh5790qJxYrZ2QQ4nSro9UKH/sJCuGkZHjk5gk8ZIHiTzc8v9dXEK770JTU2bHDjrLNCW9B5HuKu8YYbXCgslIcQVmNKptSRmDQe9vf3w2w247///S9SUlJEMpKzX8Ef1vKwMF8TI4nIoq+vT0xHkoXQm7jDIReHA/jUp/SYn6ewezeLI0fC39iQyE3O95/Yv8iFd955B+edd574/1tuuQUAcO211+KBBx5AS0sLnnjiCczPzyM/Px/nnXcennrqqYhcmdckuZBu+7y8PGzatEk0QQzUof+f/1Do6fF9A6rVgNlMIT+fR0uLcIPs3GnBf/8r5DzPPZfDc8+pQFE8PvhBDn/7m0BS27fPoqMjE243hawsHg5H8MSi0/E47zwOZ5/NY8cODlu3CsTi6xlxuYDRUeCNNxZw4oQFPT25OHVKFzeeZSxL4dprNTh50oV3HUWCwsmTKpw+rYZez+PGG9dugYo0Hs7NzSE5ORklJSVirWZoaChkO5VwsJYil0DwJR0n6cj+/n60tbUhJSVFfD+Tk5PDIpdbb9WhoUGFjAwOTzxhD7pZ0hfknuUCLC/oR4pzzz034IbrpZdeku1cBDFfnUI1yOvp6cHQ0NCywVYr2b/cf79n1EJ6TlQqHu/WF5GUxKOnh0ZZGY/hYUEldvbZHF5/XbhxDhzg8Y9/CP8uK1tEV1fmu8V/HkYj4HCs/FoOHuTwuc+xuOgiLmi5o1YLlJcDiYl25Od3gKa7sHlzNVpbM/D00yo8+ywddrQkF8bGKPzv/2rw7LNunwTpC089Jdx+V1zBIDtb3kgjFjUIck69Xo/CwkIUFhaK43SJb1d7e/uyxVEuUljr7gC+4J2OdDgcYjpyZGREjFIXFhaQnp4elDDgj39U47e/1YKieDzyiAPFxZHdK9FoHrXZbGvabh+IA3IJFk6nE83NzXA4HD677dVqNTiO83mj9/UBL77oueKRnhOdTjBq3LePQ2Oj8LXt2zn8/e9a5OS4YLWqMT9PYfNmDgMDgpJs48ZFjI0lw+kUZMiEWAwGHlar74fs7LMX8bOfJWDbtvBuZIfDge7ubnAch7POOgsJCQnIy+Nx/vkM7r0XeOopGvfdpxJVa7HAyy/TePhhGjfcsHL9xe0GnnlGuP0++lF5o5Z4aoKUjtNdv369qJoyGo0YHh4GTdNiRJOZmRl2VLOW02KhICEhwYO4zWYzmpubRQuVpKQkDwdi74iirY0Wu/C/+U0Xzj8/8oFL0RhxLHdaLBZYE+QyNzeHxsZGpKeno7q62mexlHy4LMsu+/6TT6p8DvXKyeFhNgv/1mgEa5Zt2zi8/bZwQ27caMXrr6dDr+dRUOBEe7seWVlu0HQSzGYhYllYEMgJENRo3igs5HHrrf046ywzNm3aFPbrb2hoQEpKCjiOW2YCqdcD113H4dprOTz3HI3vfleFzs7YkMztt6tx8cUulJQE/rnTpymYTBTS0jicc06cT1QLASstslLVFIlqTCYThoeH0dHRIfaChBrVxFoGHQvjSpqmkZqaCrVajaqqKiQnJ4vE3d7eDpZlPfqU3G49PvEJPex2CocOMfjmN4MzpVwJyohj34g5uQR6eKSzQDZs2ICSkhK/Px+IXEhayxspKTymp2nk5fFoa6Pe/RrQ0kKhoMCN8XGh92LbNiv+8x9hF1FWpsKpUzSSknioVMDiIoW0NB5W63I7/Qsu4PDb37oxN2eD2x26morneYyMjKCrqwsbNmxAcnIympub/f48RQGXXsrhkks4PPigCt/9rkqcMbNasFgofOUrajzzTGDlzdGjwmdy9tksomFHFcvFNlhIo5qKigo4nc5lKR9prSZQg+p7JXLxd36VSgWNRuMx1dRqtcJoNGJmZgbd3T34yU/2oq8vBfn5DH79a4ts0UY00mIWi2VNjzgG4oBc/IFhGLS0tGBhYSGoWSA0TYOiqGV1F6cTePtt3zf+9LTw9YQEYHKSQlmZYEYJABs3OvHqq0nQ61lYLAx4Xqi/nDolfL+igkdTEw2aFuz3vYnl6qtZPPwwA7UaWFiggxqsJQWZhTI9PY3du3cjIyMDCwsLQR1HpQJuuonFpZey+N//1YjKttXCCy+o8MorLC64wP8Cf/Kk8H4dOBA/fS2RIlJC0+l0HlHN4uKi2G/Q3t7uEdV4d7jHuqAfa3LxPr/UKbu0tBT33KPG8eN6qNUcbr31NNrbpzA2liqSdySKvmikxeS23I8F4pJczGYzGhoaoNfrUVdXF7SliK+i/qlTlF8n4sVFChQlNEYODlLYuJHDCy8IPRfz88Lv7Nkzj//+V+isoiihtlJezqOrS/h+VtYSSRF87GMsHnmEEXfkoY5gdjgcaGhoAM/zqK2tFeed03RoJFVUBDz/vBs/+pEK3//+6n7Ut92mxqFDbr9RSVOTQHi5uaMwmw2yynXjqeYSLqSOuSSqISkfIrknCyNxFIhl5BLP81z+9Cc1vv994Rn68Y9d+PSnN8NuL/NQ9BHFXzBRojeUtJhvxJxcvB+IsbExtLe3Y926dVi/fn1ID4xKpQLDeO6Ejx/3/aGTqZIbNwqOxsBS7WTHDgfefFO4GTWaNPC8YAFz4oTw/eRkHg4HjawsHnNznsfduZPDAw8wHotqKKRA6kuZmZnYsmWLx44oVHIBhCjm9ttZbNrE4zOfUQelaJMDLS00nnqKxjXXLL/e2VkOExPCdRQWGlFf3+WhCvLVyxAq1kJaLBR4W9+TqGZ0dBQdHR0AgOHhYeTm5voc6BVNxEPk4u/1Hj2qwk03CTXKL3/ZheuvF8Qj3oo+X1EiEQakpqYGfD/ljlzsdjs4jlPSYnKBZVl0dHRgamoKO3fuFEewhgJfEcKJE/468gGTSWiuXFwULF+GhoTv2e0WcJweZWUWnD4thKbZ2YLCrLKSQ0eH8CAxjGc6TKfj8Yc/uPFuoCEiWFIYGRlBZ2enXzdncpxwHuYrruCQkeHGFVdoRBKNNn7yExU+9jHOQ5rscrnwwgvdAHYjO5vDnj0bQVHUMpNDb2uVtRKNrMZ1Sjvcy8vL4XQ68cYbb8DpdIoDveTy7QoGsZxEyfO8aJzpjdZWGp/4hB5uN4UrrnDjzjt9N0p6R4kul0v0QWtrawPLsh4D0vReD7jcNRebzQYASuQiB0i3PUVRqKurW/bhBQtf5OKvad9iEf4mUybLy1mcOqWGWs0hISENAJCV5cDAQBIyMpackjUaYXhWYSGPiQnPY37lKywqKpafayVykdrY7Nq1S0xz+DoOEP5O8dxzefz1r2586EOaZTWiaKC9ncbzz9O45BLhtVssFtTX12NuTpCSCSMKWHFOSGpqKtavX+9hgz8wMCDa4Ac73GutEJFcIPLlqqoqaLVacaDX+Pg4Ojs7kZSUJEaEK+3Cw0EsC/rkufJ+TWNjFD78YT0WFykcOMDg1792BN1/pdVqkZeXh7y8PPA8D4vFAqPRiOnpafT09CAhIUF8P9PS0mRPi1ksFtA0HfJo8HhDzMnF6XTixIkTKCgowMaNGyP6kHyRy+ys75ueWO6npPAYH6fgds8DyMKGDUBXl/C2kNRKcbFQvBfmvAi/b7V6eoelpvL4+td911UC1Vyks+ZXIlby3kSS4z7vPB4//OEUvva10CfOkVHNoeCBB1S45BIOMzMzaGpqQklJCdRqYeBRUZHwOnie93h/NBoNCgoKPAwjpcO9pCOLExN9m2bGqokyFossea0URS0b6OV2u0UFWmtrKziO86jVyBHVxDJyIeQifd8XFoArr9RjfJxGVRWLJ58MvwOfoigkJycjOTkZ69atEwekmUwm9PT0wOFwQKPRwGAwwGw2y1I7JD0ua32TFHNySUhIwJ49e5CamhrxsbwXcY4TBoMFglrtApAAihLSX5mZQHu7UOifnxeKeiT1WVbGo7ubBkXxywrVV1/NwV+K1F/kMj8/j4aGBmRkZAQ1a15KLuGC53kcODCISy6x4p//9BFm+QAhFZ6noNPxcDop0DQflDHnf/5D4/jxMdjt7diyZQvy8/NBxnQXFwu1BJLqY1kWHMeJf4CllEV6erqHYSQZWazX68WF0lfT3HsBUnLxhkaj8diFk6hmYmJCdCMm71+4UU08RS4uF/Dxj+vR3q5CXh6Hv/7VDj9jncICGZBG0vY2mw1tbW1wOp2or6/3GDUQqjCAgNjtK+QiA9LS0mTZaarVag9ymZ8XfK+8kZ7OY26Ogl7PiqktlhW2NuQySks5mEzC14hGgHwvO3u5QuwTn/CvBvNFLqQQu379eqxbty6oG4n8TLjkwjAMWltbYTKZcNNNdgwMlKGtbeXFhOeXkwkZisayK//+b3/L4qc/rUFqaipYlsXEhECiZIQxWRgIuXIcJxINGcQECK9fp9OhsLAQxcXF4i6SuOkyDCMOiIvVgxnPw8J8RTVEMSWtLRCyCTYtE+vIhaKodyNg4MYbE/D662okJfH4y1/sKCmJbgSbmJiIhIQEpKWlobCwUKwdDg8Pe8jHyYC0YN4nm83mNyJfS4gLcpEL3pGL0ej7YdNoeAAUtNolAiEgv15ayuPYMeHhWlgQvkaeXVKvIUhJ4VFd7f8mpmlavC6O49DZ2YmJiQlUV1cjKysryFcXWeRit9tRX18vdjOPjIzggQcYnHNOcDsrodYkRC3JyTzMZsGXLRiFdUNDOVJSnOJ7QFyes7J8v2c0TXu8VmlUI/18iXVKZmYmKIqC1WrF7OwsxsfH4XA48Pbbb3v0hZypUU24GzPvpkNSW5icnER3d7fHjJVAUWGsGzgJsXz3u1r8+c8aqNU8fvc7e8RD54IFKehLm2IBiPJxk8mElpYWMSVJ/vhLgStpsTiEN7m4/Lg7kFRZQoJaNHwkGwWybi8uCl9PSuLF45B+GYNBGCxGsGfP8jSZ93VxHAen04nGxkYwDIPa2tqwdifhyJGJfUxubi42bdqEmZkZ8LwwOuCqq1g89dTKShenk0JiIu/xuoHg6jAdHSp0dfGorBSun9TBguHVlaIaIj2nKAp6vR4l7/rOmM1m5OTkwGg0eiioCNmEO445EGIlfw6UFgsW3rUF6YwVYqXiTzEV67QYTdM4ckSLe+8VNoq//KUD73vf6lkK+Svoe8vHzWYzTCaTSN56vd6DvMk9LvcUytdffx333HMPTp8+jYmJCTzzzDO47LLLxO/zPI/vfe97eOihhzA3N4d9+/bhV7/6FbZs2RLReeOCXOSav+FNLunpvo9JUjkZGTympjx9wci6TYwtDQYedjvl8T1vD7GVQm8Subz55ptIS0vD7t27w+7jIAXwYEHkzVVVVeLCKyWob3+bxZ//TAckCJISE0w+hfdBqL2okJKyNAsnEP7zHzWqqoTPhkSU/iKXQPCOaqR/pNEhAGRnZ4u7crPZjNnZWTEdmZycjKysLNmdiWMBOcjFG94zVoiVClFMkVpXRkZGTJsoOY7DH/9Yid//XiCWI0cc+PjHV9f1IZg+F2lKUioMMBqN6OrqgsvlQmJiIl5++WWoVCpZu/OtVit27NiBT3/607jyyiuXff/HP/4xfvazn+Gxxx7Dhg0bcNddd+GCCy5AV1fXe2+eiz+oVCo4nUtadj+KXhHSfg+rVfibrNsk3cwwwmAhYCkt5vAas52TE3iRnJmZAcuyIdVX/CHYyEWafvOWN1MUJR6jspLH+9/P4cUX/T8cWq3wmi0WIDFRcH7OzOTeLeyTYwaOYP77XxVuvFFY/EnkkpkZ2YbCV/psfn4eY2NjKCoq8ohqDAbBBaC8vBwul0uUOhMPL2kDZyTzVuK55hLJcaVWKtKFsbOzEwDQ2dmJ7OxscXLkauH//b8k/P73RQCAu+5y4ItfXP25QOFIkaXCAJ7nYbfb0dnZiddffx0NDQ1QqVT43//9X7z//e/H+eefj4xw5i+/i4svvhgXX3yxz+/xPI97770Xt99+O6644goAwOOPP47c3Fw8+eSTuOGGG8I+7xmVhPbu0NfphMXQGwaD8LXpaWEHDixFKkRqvBTBQEx5EVJZ3iTp+3pI/0p/fz8AREwswrlWJheXy4XTp0/DZDKhtrZ2Wd+Md/TziU8EPp7TCej1PNxuCiRaF+pWS+8NRQkRjj+cOKECzwtRHxlLECm5SCGk22bR1NSEsrIylJWVQaPReBiaMgwDl8sFmqaRm5uLrVu34qyzzsK2bdug0+kwODiI48eP4/Tp0xgcHITFYlkTnf6+5LjRBFkYN27ciP379wMAUlNTMTMzg7feegtvvvkmuru7YTQaQ7I9ChU//7kW99yTBgD43vec+PKXYzNwLtImSoqikJiYiF27duHll1/Gl7/8ZdTW1iIjIwN33XUXCgsLxcZKuTEwMIDJyUlceOGF4td0Oh0OHjyIEydORHTsuIhc5HooSG2DYHx8HAZDLmw2z50UIRC7nRLJRRgtTInKMFJ0tlgELzGTiRIJhzReEviy2ne5XGhoaIDb7UZNTQ1Onjwpi03ESuRCfNmSkpKwf/9+n+k3aeQCABddxInD03yB5ylotTzs9qXoDRD+sbgIJCUxsFjUUKt5+Lu02VkKY2NLx1erecigPn/3+gT37P7+fmzduhU5OTke35eKAkhHtzSqSU5ORkpKCioqKsRhVMRzSq1WezRwRmpLEy3EOq1XXFyM8vJyjz4Qku4Jpi8pVPzylxp897tCKuwzn+nD//1fzgq/ET3Ibf/icDhQWVmJe+65B/fccw+MRmPUosHJyUkAQG5ursfXc3NzMUQsS8JEfD4pYYLUXKQpofz8QszMeP6cy7X0IKanA5OTSwRBNlouF5CQwMDhUPskDymITxbBwsICGhoakJqait27d4tfjza5TE9Po7m5GaWlpQF92bwjl6QkoKaGF52KpRAUYZQYoZC11WqlYDC4YLVqkZLCwWIR0mdMgHR3czONggLh2jMzpUQVPshnPTMzg5qaGqSkpCz7GX+iACJzlu6u1Wo18vPzRc8p0sDZ19cHu92OtLQ0sVaj1+uXORPHArGMrryjJu90j81m8+hLSkhIEIvYwbgt+MJ992lw++3EL8yIyy8fARA7cpG7Q99qtYqKMwB+HTvkhPdaIYcC8IwjF5fLhbfffhssy6K2thY1NSoEGIEiprS8i/bj40BJiQNDQ0kgZRx/kSmZBSP83jja2tpQUVGBsrIyjyiBZdmI56f7Ihee59Hf34/+/n5s27YNeXmBu+99HWP7dh4nTy7/WXJ/kTWA44Sow2ymkJPjhtWqhVarEb8XCH19FHS68Iv53nC73WhubobL5cK+ffuC7ssIJHX2buBMTU1FWloaKisrxYWSkI1Op/No4IwVYm23Dyy3XwGWal0GgwElJSVgWVas1RC3BamHXGJi4oqv48EHNbjtNjJJ0onPfMaIycnYZffJBkXOyMVqtaK4uFi24wUCWSsmJyeRn58vfn16enpZNBMqzihysdvtsFgsyM/PFx2F9+/n8Nvf+v/giasxSZVNTFCiY7LNJrw9pMbiL33c2UlhYYHD+HgXxsbGlhlvklkzkXTWE3gfh2VZtLS0YH5+Hvv27fO5c/d1DO/d7rp1vhd7nc6z7jQ9DWRnM5icFPoJACG6EfqGlosdpBgcpJCTI0+9xW63o6GhQXR4iER9B4TewCldKDs7O+F2u0UbELvdHrY/XjiIdZ8JEFxaTqVSISsrC1lZWWIRm5B1f3+/6CGXkZHhMwX54IMafOMbArF87WtO3HabC+Pjsbf7ByA7uazWLJeysjLk5eXhlVdeQXV1NQAhpX/s2DHcfffdER07Lsgl0geD5Nx7e3uhVquxbds28Zj79wdexEjE4nIJ/mALCxSKi3mYTADDCDctUZK53UuyXCkYhsKvfz2Aujojamtrfd4Y4fSn+IL0OA6HA/X19aBpGrW1tUH7RPm6lrQ0fw2Nwt/k2WFZCjTtArAUgUmjmkCYnqZEGXJ2dvjksrCwgMbGRuTm5mLDhg2yLi6hNHBmZGQgKysLGzZsgNVqRUdHB2w2G06ePCmLrUooiPWgsFDPT4rYiYmJIlmTFGRvby8cDodYq0lPz8D/+38ZuPtu4f7+v/9z4o47XKCo2M+SIfeE3GkxOftcLBYLent7xf8PDAygsbERGRkZKCkpwc0334wjR46gsrISlZWVOHLkCBITE3HNNddEdN64IJdIwDAM2traYDKZsGnTJvT09Hjc6JWVvBiJ+INGI5BKbi6PhYWlRVKjEf5hNFLvmlYGktrm4JZbSv3uoOUmF9IYmZOTg82bN4d0c5PIRbrj9bc2kMMyDA+tloPLpYJen/Du9wSC4HkGgBY63XL3AilmZ6mIZchTU1Noa2vD+vXrUVxcHNVFNdQGToPBgISEBJSUlCyzVZHbLFKKWEcucpxbOs8HECxQTCYTpqeN+MY3EvH888J7dvPNJnz72xQoSi2e/0wjF7mnUL7zzjs477zzxP/fcsstAIBrr70Wjz32GL7xjW/AbrfjxhtvFJsoX3755YjnyaxpcrFarWhoaIBGo0FdXR1cLtcy6SNFAfv2CRMm/UGvF6ISEqGQovTsrA4ZGQxMJjUMBsGrzB+OHs3EzIwLkrSlB6QWMJGApmnMzc2hs7MTGzZsQElJScgPty/rfuJU4A1SInK73eB54T+kbmIwCKkf8rpcLjcA/53vDseSO0IIrjfitQZShK0GAjVwEpkzqallZWWJDYhSC/yuri7RAt/XuOJwEMuCfrSILTExEWp1Ir797fV4/nkNKIrHN785gkOHunD8uF2s1TgcjpgPKlOpVLJeg9yRy7nnnhvwHqEoCocPH8bhw4dlOycQJ+QSzgdDlFGFhYWoqqoSF2+iApIe84MfDEwuxOrFbhd241NTS3UXs9kzNeYPbjeFBx5Q4c47/dvuRxq5cBwHq9UKh8OB3bt3h60iIe+N9IYbGvL8DEj6j+c5ACoYDIDJRBZW4fe0WuH/BoOwq0xIoGE2+z8vTYfXQBmMImy1ISUahmHQ1dUFi8WC8vLyZVENaeAsKysTB1EZjUY0NTWBoiiPqCYcwUesC/rRiBwsFuATn9Dj1VfV0Gh4PPywA1dckQ5gv0etxmQyiWk5uaaYhoJojThe61MogTghl1DA8zx6e3sxODiILVu2oKCgQPweuam81RtXXsnhllv4FUf8siyFtDT+XTdl4WsUJaijghmudd99KnzucyyKipZ/L9K0mNvtRmNjI1wuF0pKSiKSJ0p33+R9amjwJhchPchxbgAqJCQIi55avTyVtrSuBS5qulwOTE2RnX1w5BKuImy1wDAMWlpa4HA4xOsLJHWmaRo5OTnIy8sDx3GiLc3w8DA6OjqQkpIiEk2wtutnQlpMCqMR+MhHEvHOOyoYDDx+/3u7h1eYXq9HUVERioqK0N3dDafTCbVajf7+frS1tYX1HoYLuZVigJAWW+tTKIE1Ri4ulwvNzc2w2WzYv3//MnaXdmNLP/DUVODSS7mgDBpJhGK1Amo1B5eLftcFeGWLE5uNwre+pcbvfre82SMSciETHA0GA7KzsyPemXlHLvPzwKlT3jp34W8iMybPZ3ExLzZDCiqxpYK+ViuoxvyBZRl0d9Pv/nsAs7OJAXsdiCJMr9dHpAiLFogRqUqlQk1NjRh1+BMFELKRKqySkpKQnJyMiooKOJ1OjwZOaR0i0I78TIpcxsYoXHaZHl1dKqSn8/jLX2zYs8f/c8PzPBITE1FRUSHO+yGRofQ9JE7EkbYCeEPuEcfA6qrFoom4eFqDeTAWFxfFzvPa2lqfNwm5yX3VNj75yeDcf0mEwjCU2DBIOvKDmcL49NMqfPCDHD76Uc8HItA0ykCQTnCsrKxEe3t7xOk1b+v+p5+mPebe0DQvkgv5WSI7Tk/nMTBAQ63mfc7KIb/va5BYYmISjEbhMygvd6KjYwgulwsZGRnIzs5GVlaWGJlEUxEmB0i9LzU1FVu2bPF7fcE2cFIUBZVKhby8PBQUFHg0cJIduXenu/S5ORMil+5uGpdfrsfICI3CQg7PPGPHxo2B73Xvgr5er0dhYaHYBEvmqwwODqK9vV2MajIyMmQxLJU7LUZS30rkskoYGxtDe3s7ysvLUV5e7veGIA+or0X8vPN4FBbyHhYkK8GfHcpKuOkmNXbtcmP9+qXUT6iRC8/zGBwcRG9vr0f6Tw7VmXToGMcBv/qVJ+mqVDzcbhq5uTymp8n1kGhF+P+GDTz6+oSvEZ4nZOxvQiXxFMvP57BnTyV4fj2sVitmZmYwMTEhznvX6/WYnZ3F+vXrUVpaGtFrjQbm5+fR2NiIwsLCgE4IvhBuA6e/nhCSHl3rkcvRoyp86lN6zM9TqKxk8eyzdhQXr5w6DaQWk85XWb9+PRwOx7KohtS7wo1q5E6L2Ww28Dyv1FyiDamNi3djoj/4IxeVCvjyl1l885vRf8lmM4UPfUiDo0ddIKKmUEiBZVm0tbXBaDRi7969HiOg5VSd8TyPJ56g0dnp+XASIhGiExrl5dyygn9KCg+rlfaw3F9pjSHF/qqqJYt44rZLit1dXV2YmpoCTdMYGBiA2WwW3XblTmmEg+npabS2tqKysjLiLupQGji1Wi0KCgpQVFTk0RNCag4URWF0dHTZrJVoQ46U3KOPanDLLTqwLIV9+1j88Y/2oGtyoUiRExISUFBQIEaGCwsLMJlMGBoa8pgaGcoYBrkjF2JQqaTFZIKvD9HhcKCxsVG0cQnWuM3bGVmKG25g8f/+nyqk6CVc9PdTuPxyDf75TzfS04MnBYfDgYaGBgBAXV3dsp4Imqbhdkfu/kpRFMbGgNtu87wFaJp/NyXIi64FycnC61m3jsPwMP3uzwnfW7+eQ329sDgu1Wl4D/82AvK+7969nGQ5jkNvby/m5uawd+9eJCUlYWFhAbOzs+jr60NLSwvS0tLE9FkwViFyY3h4GL29vVGTQofSwEnGEVdWVmJsbAyDg4OYmZnxmLWy0gRJORBJWoxlgW9/W4df/UqQr191lRu//KUDoWg2wu1zkUY13vUuMoZBGtX4Gy4nd83FarVCrVbL3gsVC8QFuXjDZDKhsbERWVlZoo1LsAhU20hIAL79bQZf+MLq7IBPn6Zx4YUa/OMf7qCkyPPz82hoaBBftz+/JjmaMRlGjeuvT1rWXEoIIjeXx9gYDYNhKTIpKOBx4gSNjAwe8/MkuhG+t349h/7+wIsMIZzaWs/PR6oI27t3r1h3IQ8/SQvNzs5iZmYGvb290Ol0ItGkp6dHdQHleR49PT0YHx/Hrl27VsVHLJQGTo1GA41Gg+rqatGVeHZ2VpwgGe0GznDee7MZ+Mxn9HjpJeEG+va3nfj6110hm5nKFTnodDqPqGZxcRFGoxHDw8NirYa8j9LeJLnTYhaLBQaDIe5qjOEgbsiFLJpDQ0Po6elBVVVVWB3YKy3in/wkh5//nBNVS9FGSwuNgwe1OHLEEHCmN6krVVZWorS0NKCjcaTk4nQCd99djbffXr4b43lhnDERMZSX82hpoZGQwIvu0Js3czh+XAWNZilCUamEWgtN+45apNi3b+n6g1WE6fV6FBcXi1YhxGm3ra0NDMMgMzNT9K2ScwHlOA6tra1YXFzEnj17YpauCNTAaTabQdO0OKsmMzNTdCW2WCwwGo2YmJhAV1cXDAaDRwNnpItYOJHL8DCFq67So61NhYQEHr/+tQOXXx7e9Mho9NnQNI20tDSkpaWJUQ2p1YyOjopRTUZGhviey4UzRSkGxBG5MAyD1tZWmEwm1NTUeFhOh4JAaTFA2GnfeSeLj31s9XYGQ0MUPvOZjbjttjF84xueVis8z6Orqwujo6Oorq5G1gqt66GOOfaG0Qh87GM0Tp7073ialCT4gGVmCh5rALBrF4cTJ1QeA8Fqaji89RbZYQtf0+l8z7ch2LyZAxmqF64iTKVSeYzgtVgsmJmZwdjYmMcI4+zs7IgUQW63G01NTWBZFnv37vWbGlltEKLheR59fX0YHx/Htm3bxK9Jo5rExEQYDAasW7cObrdbTP20tLSA53mPqCac1xdqzeXtt2lcfbUeMzM0cnM5/PGPdtTUhL9ZWg37F51Oh/z8fOTn54tkTojGbDZDo9FAq9UiIyMjYsJWyEVm8DyPt956CyqVymedIRQEI/m99FIOl1/O4pln5NWnB4LTSeO73y3GyZMs7ruPQWHh0uJlt9v9Gl56I5LI5dVXKVx/vQrj4/5fd3o6j+lpYbHIy+PR1kYjK4sXDScPHOBw4sRS3YXjKGzcyKGrS/h+QkJgcrnkEuGzkXqElZSUhPV6gKVhX8nJyeIIY5I+Gx4eBk3TYvoslO5taURVXV0tey9DpOB5XnQt2LNnjyhdDbaBk+d5MfUzOjq6rIEzWFIOJXL44x/V+PKXE+B0Uti2jcVTT9lRVBSZdc1qe4sRFV9qairKy8tF7zi73b6MsDMyMkJeywi5xHr4mxyIC3KhKApbtmxBcnJyxDdKMORCUcAvf8ngxAkaU1Or+yG+8IIK27fT+PKX7airexsZGQnYv39/0EqocMilp4fCnXeq8PTTgRfIhAReVHRt2MChvV14b6qqOLzxhgrJyTysVsHJYOdODo2NpAdG+FpCAo+5ucDv54c+xGBgYAADAwPYtm1bUArAUEBUVdJeEVLottvtopMxEQX4ApnmmZWVhY0bN8Zd/pvjOLS0tMBisWDPnj0e6rBQpM6kgbO8vNwj9TM8PCzKdFci5WDSYi4XcOutOjzyiBAZfeADbjzyiANytHLIrdYKBykpKVi3bp0HYZMo2ttHbqVrtVgsZ0SPCxAn5AIIxVs5CtXBNitmZvL4zneGcNNN6yI+Z6iwWin88IeJyMo6G//3f0BlJYdgVbbBkovbDbz2GoXf/laF556j/faeLB2Xh9Mp1Fzy8jiMjVHgeQq7drF45x3hgaip4fDaayqo1TwMBkGKXF7OYXhYOLZOF3ieS0kJB42mFSMjxlXxCCO2+BkZGaiqqoLVahWjmu7ubiQmJorpM2KLbzQa0dzcjHXr1mHdunVxt4NkGEZUUe7ZsydgKisUqbNarUZubq6Y+iHNhwMDA2hra/MY6iXdWa8UuYyNUfjkJ/V45x3hGr75TSduvdUFuQLBWLsiSwv6FEV5RDVSHzkS1RCVnz9xhc1mi9pI49VG3JCLXAiGXBiGQXNzM9avN+O663Lx2GOr1xcgxeysBrffDtx9N4+PfpTDtdeyqKnhAypm/JGLxSIMLWtooPD66zT+8x864JgBbxDySUtjYTbTsFoplJUJ0mOnk8KOHRyamoSHuLaWw/Hjwr9TUgSZcmbmkqrMHw4eHIXFYvZQhK0myFTE0tJSMAwjigKam5vBcRwSExNhNptFt+l4g9PpRENDA7RaLXbu3BmyHU4oUmeySJLmQ1KrGRgYgEajEUc9Mwzjl4CPHVPh059OwOwsjbQ0Hg89ZMdFF0XeoyVFtIwzg0WgyEmr1SIvL09MQ3q7YxsMBjGFRjY30YxcDh8+jO9973seX8vNzcXk5GRUzhc35CLXDnGlgr7FYhEnGNbW1mLPHhotLRxOn47dDbq4SOGRR1R45BEVSkp4fOhDLM4/n0dtLQfSP3nrrSr8/vcqJCcXQKtNR2qqBhwnSDpnZ5eGcEWCpCQGVisFt5tCVpYLViuN2Vk1ios5mM2AyUShvFyQHPM8he3bObS0kKhF6Or3B5rmcPnlU6ipqYkLjzCyU8/NzQXHcejqEqaIJiQkoLu7G1NTU2L6LNrmh8HAZrOhvr5+RbuZYBGq1Dk/Px+FhYUeDZwk1ajVajEyMiLa0vA88ItfaHH4sBYcR2H7dha/+50dZWXyjwaIdeQSbJ8LRVFISUlBSkoKysrK4Ha7PWb+TE5O4rHHHkNubm5U63tbtmzBv//9b/H/0TxX7J9ymaFWq+EkQ++9QGz6i4uLsWHDhnc7n4G//c2Nc87RLutCjwWGhyncd58a990nGGVWVfHYupXHX/4i3ASzsxpIp0DKhYQEHlarCjxPITubBctSmJ1VIzXVCYpi0d+fiLQ0DgYD0N9PIyeHx9ycUGvJz+cwPh74AT/vvAVccMGmmOfHvUFcIGZnZ7Fv3z4kJyfD4XBgdnYWs7OzotUKIZqMjIxVL+6bzWbU19cjLy9PvG/lRiCps78GTgDo7OwU5c69vb1gWQN++ctdeO01wb7kmmvc+PnPHYiWaUCsySXcPheNRiNubojVU0NDA1588UWxUfeiiy7CxRdfjEOHDsn2mavVauTl5clyrBXPtSpnWUX4SosRyebAwAC2bt2KfK+JXrm5wN//7sa552rE5sB4AM9T6Oyk0NkZ/XORcQS5uTxsNhpmswqZmTzS0tTo69NBp2ORlbWIlpZ0aDQc0tNZdHVpYDDwsNlWfs9uv10Pmo68piYnWJZFc3Mz7Ha7R6ouISFBtHRnWVZsSuzs7PRrtBktmEwmNDU1rWoNyJtoAPiNalQqFZKSkrBx40Y0NvK49toEDAxooVZz+NznWnH11WaYTEKNQe73ilxPrCOXSM9PURTKysrwgx/8AGazGe9///tx8OBBvPDCC7jzzjvxvve9T6arBXp6elBQUACdTod9+/bhyJEjKC8vl+34UsQNuciZFpOSC6mvmM1m7Nu3z28ReeNGHn/+sxuXXKJZsQnwTIRKxSM9HZieFkgtJ4eHVsujr09odNu0CWhoEHqPKirs6Ow0gKJ46PVuzM4G7o+49FLGo3EyHuByudDQ0ACVSoU9e/b4VeupVCoxapGKAojRJhmDkJWVhdTUVFkX/6mpKbS2tmLjxo0oLCyU7bihgCycvqIahmGwuLiIpKRk3HcfjcOHE+FyUSgq4vDEEzZs3JgNo5HG1NSUKKAgxWxSY4gEUuVbrBAN+5eysjJ8+MMfxoc//GHZjgsA+/btwxNPPIENGzZgamoKd911F+rq6tDW1hbRfCh/iBtykQtSciG26DqdDrW1tSs2iZ1zDo8//YnB1Ver4XS+dwiGpnmo1UtTIouLOSwuUpieppGUxKO4mEdDg/AAbd/OoblZ6MfJy+MwMRH4PVWredx5Z+ReaHKC3BcpKSnYunVr0IuT1GiTNCWS9FljYyMAiEQU7lRJgtHRUXR3d2Pbtm0xGensDySqYVkWLS0tMJlUOHJkK155RVA+XXSRC7/4hQVZWQBNC64KpaWlHjWG1tZW2Ro4yTXFCtFwRY5WE+XFF18s/nvbtm2ora1FRUUFHn/8cdxyyy2yn++MJRcyB6WoqCik7u8PfIDDc8+5ceWVGlgs7w2C4TgKTqdQd0lOBkZGhPcqK0uIXjo6aNA0j8pKHs3Nwveys3lMTKz8UF17rQXl5RSA+Ki1RGKX7w1S6Cby3cXFRczMzGBgYACtra1IS0sTpc7BGm3yPI+BgQEMDQ2huro6bKeKaIJMRX3nnTTcc882TE3R0Ol4HDniwmc+4wBA+6zVZGdnizUGopySuipI+0GCea/iJXKR2/5ltfpcDAYDtm3bhp6enqgcP27IRa50Ak3TsNvtaGxsXDYGOVgcPMjjxRfd+NCHNCHJedcyEhJ4sCwwM7M0c2VxkcLsrOArlp3No6tLeIgyMngYjSsfs6zMjksuOYFjxxhxR5+VlRUz63xilx+pK4AvSP2opEabxNU5GKNNYgU0NSWo6uJxpofL5cLbbzfgiScq8eSTheB5Cps2cXjsMSe2buVBxCYrNXAaDAaPUQtE6ky8u6QTOP3dLyzLgqKomM6ykTtyWU1ycTqd6OjowNlnnx2V48cNucgBhmHQ398Pt9uNurq6iJr0amp4/Oc/brz//Symp2PTB7OaIAX9xEQeGg0wMSEsfklJPHS6pWgmJYUPinA1Gh5/+AOwfftZonX+4OCgOFGRLLSr5aM0MjKCnp6eqNnle8PbaNNkMmFmZsav0SYxyDSbhT6g1ZzJEiwcDgf++c8O/OhHe9DRISyA11/vxg9/6IZ3318oDZwqlcqjgZN0uZM5K1JbGqksPB6UYoC8ct5oeot97Wtfwwc/+EGUlJRgenoad911FxYXF3HttddG5XxnDLmQPgCapqFSqWTp/t60icevfvUW7rtvP44dW/2mv9WGVis4H9tsFCiKR1KS0HFP0oN6PY/FxeB2iUeOuLFjBw+AEnf069ev97DOJ7NHCNFEY/YIz/Po7e3F2NjYqtnle0OlUiE7O9vDqVhqtJmUlCQ2I9bU1MTlLA+r1YY775zGb36zH3a7MN/+V79y4dJLg2uKDKWBk/SDVFRUeDRwDg0NQa1Wi0SjVqtjnhIj1ywHeJ6H1WqNWsQ6OjqKq6++GrOzs8jOzsb+/ftx8uTJqE17pfhILHZlBMdxYQ/BmpmZQXNzMwoKClBcXIw33ngD73//+2W5rjfeeAPl5ZV4+OF8HDlyxnDxivA38CsYfOlLbvzoRyt/ltIu+ZmZGfA8L9YoIi2IA8I91dbWhoWFBVRXV8el2yxp6iWLLFGnkemb8dBw2tFhxfXXU2hsFBy7zz6bxcMPu4IaQxwMvKMasiRRFAWapsW/iVccIRv7uw6pFRUVYgPnaqbIHA4HTpw4gfPOO0+W8/I8j/Xr1+O5557D/v37ZbjC2CL2d+67COfDIcXPvr4+bN68GYWFhXA4HGLYLceOQgh5WXznOyz27uXxv/+rlqUbPt4RLrFcdRWDI0eC2yRIu+R5nhfTZ9KCeLjps3i1y5fCbrejqakJqamp2Lp1KwCEZbQZLfA88NBDLnz722mw2TTQ6wXl3+c/z6w40joUhNLAmZaWhoyMDFRWVmJiYgK9vb0wmUweza5kAme0m13JZkBOQlvNmku0ETfkEirI/Jf5+XmPOfPkhpJLxSGVNl90EYfGRhe+8hUef/vbmZ8mCxWXXsrgwQddYS08FLU8fTYzM4PZ2VmP9JnUZNIfyKjohISEuLTLB5a67nNzc1FVVSUuUFKjTZvN5tNoM1opRCkmJoDPf57Cv/+dBgDYu5fFQw+5UFkZ3USHr/QZIRpfDZzEZ400uxqNRnR1dcHlcnmYREajhiW3UozjONhsNoVcYgmbzYaGhgao1WrU1tZ65Kil5CKHKsnbKJJhJvDpT7figgt24Ac/KMLo6JkfxQSDz3zGjZ//3A25sjh6vR4lJSUoKSnxSJ81NTUFTJ/Fu10+AMzNzaGxsRGlpaUoKyvzu/NNTEz0+R60tLSA4zhx4mS4fSK+wPPA00+rcPPNaiwsCNNGv/MdN77yFUY2J+Ng4U8UQAjHewInifJ4nofNZoPRaMT09DR6enpkb+Ak1yN3MR9AXKoEw0HckEuwoSVZYPLz830uHiRHG4ztfjAgkQuZoz48PIwdO3bgggty8OEPu/CDH6hw//2q92RXPyA0Sf7oR0KqJFrpbl/pM+9+kuzsbKjVanR3d8etXT6wJIfesGEDioqKgv497/dgcXERs7OzGBoaQltbG1JSUsQUYrhGm8PDFG6+WYuXXhIWzK1bnfjtbzls2RIXZVmPqGZ4eBijo6NiE6x3VEMsfAgxS00iWZb1aOAMV0ARjR4XAGdM5BI3BX1A0ND7uxxi7tbb24tNmzYFfDD/85//YM+ePbIoxpqbm5GQkACLxQKLxYJdu3Yt+/CHhoDvf1+NP/yBBs/H34IWLaxbx+Gxx1zYsyd21i4kfTY2NgaLxQKtVov8/Pyg0merjbGxMXR2dmLr1q3IzfU/ZjpUSI02TSaTaIkfrNEmywIPPKDGnXdqYLVSUKtZfOUrFtxxhyboOUOrieHhYfT19aG6ulpU/3lHNVJRABEEEBKyWCyYnZ2F0WiE2WyGwWAQpeHBNnACgpBocHAQe/bskeV19fb2Yv/+/bDb7XF134aLuIlcAoFlWbS2tsJkMnnUV/wh2IFhwYDneYyMjCAlJQX79+/3mX4oLQUeeYTBzTdTOHxYhX/+M/5y/HKConh8/vMMvvtdN2IdwSckJIBlWTgcDuzYsQM8z4vuDAA8Ukexat4kG6PBwUFUV1cjIyND1uNLjTY5jsPc3BxmZmbQ1dUFp9Mppouys7OXmUc2N1O46SYt6uuFe3bLFiPuv59FTU187p4HBwcxMDCAXbt2eawDoUzgTExMFFOS0oFe0nuGNHAGSjfK7StmsVjOmBHHwBogF2l9pa6uLqgQVi5yMRqNmJqagsFgwO7du1fcTQjW+Ay6u1n88pcq/P73NOz2M+NGIThwgMWPfuTGrl2xN6Ikc1hmZmY8Otr9pc/S09M97FhWAzzPo7u7G5OTk6vSdU/TtLg4kr6J2dlZTE1NiQOqsrOzYTBk4f77s/CLX2jAshSSklhcd107brstB6mp8Znz7+/vx/Dw8IrvY6gNnDk5OeJAL9LAOTIy4mFL4yvdGI202JkyhRKIc3IxGo1obGz0W1/xh0jJhed5DA8Po7u7W8zJhnITbdjA45e/ZPDd7wKPPKLCY4+pMDi4tkmmpobFrbe6cdFFXNRqK6FAapfvPUce8FSfETuWmZkZUebra8Sx3JD22ezZs2fVFw5fRptGoxHPPMPgnnvSMDUl7MoPHpzF5z7Xggsu2BqXvUBkZMbY2BhqampCrkmE0sCZnJwsjil2Op1iT83w8DBUKpVHVBMt65czJXKJq5qL2+0WP/yhoSH09PSsWF/xhbfeegvFxcVh+YpxHIf29nZMT0+juroaJpMJVqsV27dvD/lYBDwPnDhB4ac/ncbx4wVYXFwb+VSa5nHJJSxuuIHBwYPxQSqAp13+jh07Qk53EeUVkToD8rkZS8/R3NwMl8uF6urquOi67++n8PWva/Hii8KCmJfH4AtfaMPOnUMAEJbRZrRBhDSTk5PYvXu37OQXSgPnwsKCSDY2mw06nQ5qtRpbtmyR5f165pln8Itf/AKnT5+W46XFHHEXubAsi7a2NhiNRuzZsycsu46VRh37g9PpRGNjI1iWRW1tLfR6PRYWFiJOsVEUcOAAD6Ab997Lo6UlDy+8QOOFF2iMjcX+AfZGRYUVn/qUCldfzaOwMG72HgCWbH5CtcuXwp/6rL+/X5b0mZT84mGss90O/PSnGvzsZ8IoCY2Gxxe/6MIHPtAAirJi166zwXHcMqNN8h74M9qMNoiRJ0l7RiPyC6WBMzU1Fenp6WIfVldXF6xWK06dOgWtVitGNenp6WFFNGdSAyUQZ+Rit9tx+vRp0DSN2trasCfXhZMWW1xcRH19PdLS0rBt2zbx5iCzK+QATdPQajn8z/8If5xOF/761x6cPJmC0dESvP22RpypsppITORRXW3Hxo0DOHTIiqyseTidTszMZALIFs0VYw1il19QUIDKykpZdtbBpM+kw8BWWmTtdjvq6+uRlJSErVu3xrSBk+eB559X4etf12BoSLju885j8eMf22G3N4BlWVRX14iRmrfR5uzsrF+jzehfO4+Ojg6YTCbU1NSsipFnKA2cWq0WiYmJMBgMKC8vF21puru74XK5kJaWJpJNsKSo1FyiiM7OTqSmpmLTpshmrYdKLpOTk2hpaUF5eTnKy8s9Fi2VSuXRRBkJpERlsVhQX1+PTZuS8ZGP5IGmGbCsC729FE6fVqOjg0ZHB432dkpcGOSAXs9j/XoeO3Zw2LmTw65dLNLT+zE6OoBt27YhO7tMLARLzRVJH4VQDF59RUs07fKl8NW8KVWfBUqfkc80OzsbGzdujGlaqaWFwq23anH0qEBuhYUc7r7bjf/5HwcaG4WoateuXT6jKqnR5saNG0XprnT2CnkfQpHuBgue58VaVU1NTdRHSfvCSg2cLMvC6XQiISEBPM+LbgCVlZViA+fs7Cx6e3uh1+tFognkrKBELlHEjh07ZDlOsORCHHMHBwexfft2n70HcsqaCVGRyYUlJSVYv369uDuiKKCqikJVFQtg6ZwOBzA+TmF0lMLICIWZGQqLixQWF4GFBQput7BL5TiApoHERMBg4GEwALm5PHJyeOTl8Sgv55Gfz4u1E47j0NHRgclJIQVJFDjSQnBZWdm7UcyMmDois0mys7OjbkMCrL5dPkEw6TMS1ZBUWElJybINympiagr4/ve1ePxxFTiOglbL40tfYvDNb7qhVjtx+nQ99Hq9R3QeCBRFITk5GcnJyaJ0l6TPhoeHQdO0rEabZPSAxWKJK4do76hmeHgYJpMJ27dvXyZ19m7gJLY0HR0dYBjGw5ZGSpwWi0Uhl2hBroU8mOMwDIOWlhYsLi5i//79fqWNcpILTdPig7llyxbk5+eLu6FAQ48SEoDycoEc5AIxdmQYBnv37g24O9TpdGIfBcuy4m6e2JAQoiE26HIhHuzyCbzTZ96+X2Rsr9w9LMHC4QDuu0+Nn/xEA7NZuI+uuILB97/vxrp1POx2O06dOo20tDRs3rw57A2BVqtFQUEBCgoKRJdiskO32WwehBtqiofjOLS0tMBms6GmpiYuzUYBwbp+YGAAu3fvRmpq6rKoRip1JtJwMm6BSMMnJyfR3d0Ng8EAnU6HycnJqM5yIbj//vtxzz33YGJiAlu2bMG9994btWFhcaUWY1k2rEK8N3p6euBwOLBt2zaf3ye9MxqNBjt37gx4ExPLiHPOOSeia+I4DsePH4fT6URNTQ3S0tJElQpRpawWbDYbGhsbxR1suIQg3c3PzMzAZrMhIyNDJJtI0hlrwS4fAMbHx9He3o7i4mK43W4P9Vk0CNcbLAs89ZQK3/++BsPDAmHs2sXi7rvdqKsTFjmr1YrTp08jJyfHwyRTbkgJd25uLiSjTSItdzqd2LVrV9wSC3EH8G7iJPCWOkuXV2n0Q9M03G43TCYTjh07hq9+9atgGAbFxcX41re+hYsuukj2KP2pp57CJz/5Sdx///04cOAAfv3rX+ORRx5Be3t7VFLNZyS5DAwMYGFhATt37lz2PZPJhIaGhqB7Z+bn59HQ0IDzzjsv7OshM8cXFhZQWFiIqqoqcYez2sRCiuL5+fnYsGGDrOe22Wwi0czPzyMpKUkkmuTk5KDPJY2q4kXG6wukW3zHjh1ixOKLcCPZzfsDzwMvvUTjO9/Roq1NuIcLCjjceacbV13Fis7URKhSVFSEioqKVbvXiJ8XkXsTo01CNlLyYFnW4/OOlZPCSliJWHwhWKkzy7L41Kc+BbPZLG4GLr30Uvztb3+T7fr37duHXbt24YEHHhC/tmnTJlx22WX44Q9/KNt5COIqLSYX/KWyhoeH0dXVhY0bN6K4uDiiYwULcqMYDAbk5OR4FPVXm1gmJyfR1taGDRs2BP36QwGx1SgtLRV38TMzM+IEQUI0GRkZfkldape/c+fOmMt4fYH0XkxMTGD37t0eHnYrpc+I+ow0b4bz+b/9No077tDg+HGhZpKayuOWW9y48UbGY9wwcV8uKyvDunXrIn3ZIUGtViMnJwc5OTkeRpsjIyPi6GIic+7p6QEAvwKDeMDIyIjoZxYssQChSZ1dLhc+9KEP4f/+7/8wNTWF/v5+2a7f5XLh9OnTuPXWWz2+fuGFF+LEiROynUeKuPok5VpovQlhqXAtNGKFkhf3ttwPBcRhoKioCJWVlejs7MT09DR0Oh1ycnJWbUdOhqoR4UJ2dnbUz6nRaJCfny/ORSd+Vx0dHXC73WIeWrqLXQt2+aTJdn5+Pqiue6ltPkmDzMzMoLGxEUBo6bOmJgo/+IEG//qX8HM6HY8vfIHBV7/qhvctPTs7i+bm5pDdl6MBiqKQmpqK1NRUVFRUwOl0YnZ2FtPT0+jt7QVN08jPz8fc3FxQRpurjZGREfT29noYZYYDb6IBIEY1VqsVJ0+eRFlZGQCIQhK5MDs7C5Zllx0zNzcXk5OTsp1HirgiF7kgJReXy4XGxka43W7U1taGnJYgCi9SdA8WJEratGkTCgsLwbIsSkpKoNVqMTExga6uLnH3lpOTE7WaAiFW0pQai1kRUr+rqqoqWCwWTE9PY3h4GO3t7UhLS4PBYMDExATWrVsXcMZJLEHSN06nE3v27Al5c6DRaDzUZ6QY3tfXh5aWFjF9lp2d7dHX0dZG4cgRDZ59VnhcaZrHJz/J4vbb3T6bXKemptDa2orNmzcjPz8/shcdBZDN1ejoKDIyMlBSUiIO+ZIabWZlZa1Kf0sgyEUs3pDWXux2Oz71qU9h3bp1+NrXvibbOXzB+7kKdV0LBWc0uZBpfykpKWGH3OQmYFk2qN8nZorj4+PLCvcJCQkoKyvzKe9NSEhATk5OROkSb4SiCFstSKWtFRUVcDgc6O3txejoKCiKwuTkJFiWlfV9kANkk0LTNGpqaiKuC1AUhfT0dKSnp/tNn1ksRXjssRI891wCeJ4CRfH48IdZ3HabGxs2+C6Vjo2Noaura9Ui1HDgcrlQX1+PhIQEbN++HTRNi2oqUreTGm1KPeBW834YHR1FT09PVJWKDocD11xzDWw2G44dOxZSyi0UZGVlQaVSLYtSpqenZY2QpIirgj7P83C5XBEfx2QyiTYuZWVlERUyWZbFK6+8gkOHDq2oYCGLucPhwK5du5CQkBBU4V7arDczMyM+bKQ+EU6agCjiDAZD0D0Nqw1iRU+K4qmpqcs8v6Qy51i9BofDgfr6ehgMhlXpum9oYHHkCIUXXjCI84EOHTLh61+3oa4uxe8mZ3h4GL29vdi5c2fMJNErwel0or6+HomJidi2bVvA1Ccx2iTyfUB+Dzh/GB0dRXd3d1SJxeVy4ROf+AQmJibw73//G+np6VE5D8G+ffuwe/du3H///eLXNm/ejEsvvTQqBf0zjlx4nkd7eztGRkawc+dO5OXlRXy8l156CQcPHgwYottsNpw+fRqJiYnibkyqdw+W3EjvwMzMDKanpz3qE9nZ2UE9UNFUhMkFnufFGtSuXbuWpeuIUSB5H0i6hLwPq1WvIl33WVlZ2LRpU1Tfy9Onadx9t1qsqQDAJZcw+NKXTMjNnVimPiPpM57n0d/fj5GRkZALzqsJQtLJycnYsmVLSDU1osIj0Z3VahWNNrOysmR1jSDEUl1dHbUF3+1249prr8XAwABeffVVZGZmRuU8UhAp8oMPPoja2lo89NBDePjhh9HW1obS0lLZz3dGkQvDMGhtbcXc3BzcbjcuvPBCWa7rlVdeQW1trd/uWSJvLigoEGXG5G2NpChNpuZNT09jZmYGFosFaWlpYvrMF9lFWxEmB1iWFZvlqqurV8yrS9MlMzMzWFhYQHJyske9KhqLPiHpaMp4eR74979p/OIXGrz2mhARURSPK69k8bWvubFtm+fjSd6H2dlZsZdEpVKJjYfxOn/d4XDgnXfeQXp6OjZv3hzxe2m32z2mb8pltLkaxMIwDK6//nq0tbXhtddeW1XXifvvvx8//vGPMTExga1bt+LnP/95xD18/nDGkAsxDFSr1di4cSPefPNNvP/975dlQQg0Nnl0dBQdHR3YuHGjOAmQDBGSezGSmirOzc159JEkJSWJ0w63b9+OrKwsWc8tF0jtgqIo7Ny5M6zUhsvlEt8Ho9EYFTsaoraKlpeZywU8/bQKv/iFRuxTUal4XHWVQCpVVSs/liQNu7CwIN5vq9W8GQrsdjveeecdZGZmRiX6kxptzs7Owu12i1FuKEabq0EsLMviC1/4At555x0cPXo04sxKPCOuyAUQcrKhYm5uDg0NDcjNzcWmTZvAMAxeffVVnH/++bI8YEePHsWOHTs8bjhiBz42NibmuFez417aR0Ly0QCwYcMGFBQUxKWMV2qXv2XLFllqF2RhIWTDcZzHAhsOeU1MTKC9vR1btmyR/eFfWAB+8xs17r9fjYkJ4TMyGHhcdx2Dm25iUFoa3OMo9eAiHe0kjTg7O+szfRYLkD6v3NzcVUnRkmifPBuLi4viJiyQ0SYRQkSbWL785S/j+PHjeO2112IuEY824o5cXC4XQrmkkZERdHZ2oqqqStxhkiL8eeedJ0tu/vXXX8fmzZvFaIBhGDQ1NcFms2HXrl3Q6/Ux67gn3f9OpxOpqakwmUxR9fsKFwsLC2LqUC67fG+QZj1CNFarNeQFdmhoCH19fdixY4esefDRUQr33afGY4+pRe+vvDwOX/gCg//9XwahrGdEEu1yufxapfhKn0XavBkqLBYLTp8+jYKCAqxfvz4mtT+XyyWKRIxGo2i0SUQBarVaJJZoCiE4jsMtt9yCV155BUePHo1KjSPesGbJheM4dHZ2YmJiAjt37vRYCEgR/pxzzpHFbuONN95AZWUlcnJyxN23TqfDjh07oFarxZ6aUAr3csCXIszbfsRut8ekEC7Fatnle8M7jUjmx2dnZy/bwZKu+/HxcdmK4jwPHD1K46GH1PjXv1RgWeF8mzZx+PKXBZuWUD8OspkAEHRakaiuCNmsRvrMbDbj9OnTq247EwhSo00S3SUmJsJms2Hz5s1hTa4N9rzf+ta38Pe//x2vvfYaKioqonKeeMOaJBeStyc7N18E8sorrwR0Ow4FJ0+eRGlpKRISElBfX4/8/HxUVVUt8wqKR48wMpdlenoai4uLq9K4KQWxy9+yZUvU9PTBQJpGNBqNUKlU4gKblpaG7u5umEwm7Nq1K+L3ZXERePJJNR5+WI3OzqX05DnnsLj5ZjcuvDC8kdGkP0Sr1WLHjh1hpRWlKjyywJKmRbnSZ8TPjIwfiFcMDg6it7cXycnJMJvN0Ov1YvpMrtodx3H4zne+gz/96U84evQoNmzYIMOVrw3EHbm43e6AdivEIiQpKQnbt2/3u+t67bXXZOuqPXXqFBISEjA5OYmqqioUFxdHtXC/EiYmJtDR0YHKysqQFGHSxk2TyRSVxk0CqV3+zp07Y2qX7w2pHc3MzAwcDgdUKhUqKiqQn58ftiNvWxuFhx9W449/VMNiEd7LpCQe11zD4LOfZbB5c/iPGpHxkgmXctXUvM1GI21aXFhYQH19fUz8zELB+Pg4Ojs7xVRYKEabwYLnedx111347W9/i9deew2bN2+OwiuJX6wpcpmenkZTUxPWrVu3Yg739ddfx5YtWyLOm/M8j9dff120As/MzIyZVT7xCBsaGsK2bdsiUoRFo3GTgPhvzc3NyRIJRAtutxsNDQ2iCMBoNMJsNiM1NdVj6mYgLC4Cf/mLCk88ocapU0vvWVUVh899jsE11zDwITIMCaSHKiMjQxYZrz9Emj4jRpkVFRWrmv4MFd7E4g2e52E2m8X3wWw2IyUlRXwvkpKSVvwMeJ7Hj3/8Y9x///149dVX/Y7/OJOxJsiFNIn19/dj27ZtQSl4pHWScMEwDJqbm2E0GlFSUoLKysqYFe6lC/bOnTtl7Wfw17iZk5ODrKyskBRXbrcbzc3NcLvdcW2XTyIB0ilOyNThcIjpMxLdSQvhNE2D54Hjx2k88YQazzyjgt0u3AdqNY//+R8Wn/scg4MHw0t9eYMUxfPy8la1IVaaPpPW7vylz4grRjwYZQYCIZZQBBvEaHN2dhZGoxFqtdpj+qb3RoznefziF7/AT37yE/z73//Grl27ovFS4h5xTy6k4W5+fh67du3y2WviC6ROEq5xH+mb0Wq10Gg0MBgMYpi/2vWV1Zxv4qtxM1jFFbHL1+l0AVOWsYbVakV9fT0yMjKwadMmvykm6dRNYRebgDffrMQLL+RhaGiJcDdu5PDJTzK4+moGcpaViMKupKQk5maeZIKir/SZ2+1GS0sLNm7cGLWiuBwg6eRIlIAkpUreC+IckZKSApZlUVlZifvvvx9HjhzBSy+9hL1798r8KtYO4o5cGIYR1Vd2ux0NDQ2gaTrkRfXUqVPIz88Paxcl7ZvZuHEjOjo6YDabUVZWtuqW4LH2CPPXuJmTk+ORHpDapMSrXT6wtGAXFhYGJY+dmgL+8Q8hQnn9dRocJ/y8Xu/G+ecb8fGPO3H++cnQ6+U1BSWRwGor7IKBNH02MzMDlmWRlpaGkpKSuJG+e0MOYvGG1Dni9ddfxxe/+EUUFBRgdnYWP/vZz/DZz342Lj39VgtxSy5kgc/JyQlr5nd9fT0yMzND1pOPj4972KeQWQsjIyPig5SVlYWcnJyoP0jx5hFGFFfT09MwGo3QaDTiOOP+/v64tssHhPk6TU1NKy7Yk5PAc88JhHL8+BKhAMDZZ7P45CcZXHDBImy2JTsaf6QbDmZmZtZEJDA1NYWWlhaUlZWBZdll0vd4sMwHokMs3uB5Hg8++CAefvhhlJaW4vTp0+B5HldccQUefvjhqJwz3hGX5DI0NISOjg5s2LABJSUlYT2oTU1NSE5ODloKSfochoeHsWPHDmRlZS0r3JMmPZIyIg8SUVzJOfebdInHq0cY6YwfGhrC3NwcVCqV+D7E4+6VvJ/+ZpxMTFB49lkVnn1WhTfeoEU3YgDYvZvF5ZezuOwyFmVlyx8Xl8vlIXMmpBuOzxW5zq1bt8ZUur0SyHV6W/v7Sp8RoonFCIXVIpYnn3wSt9xyC/7+97/j0KFDYFkWb7/9Nrq6unDddddF5bzxjrgjl56eHvT09CxrjAwVra2t0Ol0qKysXPFnGYZBS0sLFhcXsXv3biQmJgZVuLdarZiensb09DTMZvOKppLBQE5FWDTB8zyGhoZEkYVGo4mrxk0piBW9t+fa2JhAKM88o8LJk56EsmfPEqEEa8kCQIy6yXvBMIxYm1hJHEG8reLZGw5YKoqvdJ0k0iV/fHXHRxOTk5MiAUbr/eR5Hn/5y19w00034S9/+QsuuuiiqJxnLSLuyMVsNoNhmIg76zs6OgAAmzZtCvhzRDWkUqnEjudwOu4dDoeotiK1CTJDPFjX3mgqwuQE8VWbmppCdXX1MpFFrBs3pddJem1I1/3IyBKhvPWWZz58374lQikujvyxkEpapa7WhHSl9ziZa7Nz586oz/WIBIQAQ7VKkXbHr0b6bDWIBQCeffZZfPazn8Wf/vQnfPCDH4zaedYi4o5cWJYFwzARH6e7uxsulwtbt271+zPz8/NoaGhAdna2SELhzGDxhtvtliiMZsWxrjk5OX5TA8TWg2XZuJbwhmqXv5qNm1KQ8c4mkwlZWTV46aVkPPusyqMXBQBqa5cIxdfIYDlBbOLJe0H8vsh7tHv37qDVkLHA8PAw+vr6ZCFAsgGZnZ2VPX22WsTyz3/+E5/+9Kfxu9/9DldccUXUzrNWEXfkwnEc3G53xMfp6+uDxWLBjh07fH5/YmICra2tqKysRElJiZgGoyhKVqUTkbOSOg1pVszJyUFGRgZomo65IixYRGqXH83GTSlYlkVDQyv+9a9kHD9ehRMnlq6TonjU1XG4/HIWl17KoqAgNrc/wzCYnZ1FX18fbDabWKch90W83QMkstq1a5fsw8j8pc/IfRFK+mxqagqtra1i3TRaeOmll/CJT3wCv/3tb3HVVVdF7TxrGWcsuQwODopeUVKQVMnQ0JBYjFytjnuSGiB1GpZlkZKSgoWFBXHQWLwqrQgBkimCkS5+0vdiZmYmosZNKdxuN159tQ3f/Ob/b+/Mo6I40zX+IAouILssKrsbgrK5a5QYEWTpRk00mTguczPOzZjEJI6JycRgXDJoktGYaBJNojNJro42gsEtRnCJW6DZFAERZBW6ZZW1obvr/uGpmqZpkKWqqxq/3zmeExtCfbTV9VR97/M+rw/y8h5vKxoZUZg9+7GgREYq0cvWJ1aht0Bra2vh5+fX7glPoVAw00d7Mo+EKwoKClBcXNyjPrPeotnQW1lZ2aPtM1pYtE0GbJOUlIRly5Zh//79ePnllwX7meWbfisuJSUlqKiowJQpU5jX6C2duro6+Pv7w8zMjNcoFzp1wMTEBEqlkjPnWV+he0O4skT3pXFTE7qJ8+uvJ+DYMSdYWVF47bU2vPwy91tePYE+D5ubm+Hv799OPCiKYraM6HkkdM2KjqPR13lKURTy8/NRWlqKgIAAXmqAnW2faSdb60tYrly5gqVLl2L37t1Ys2YNEZYuEJy49HXUMc2DBw9QXFyM6dOnA9BduOcryoUWluLiYsYRpu08s7CwYOo0fPYK0D0XHh4eeptB0d3GTU3ornsrKyvs2eOHn34ahLVr2/DZZ32/UWETehYQXVt70hMaHT3C5dRNXdBP+A8ePEBAQECnI771SWfbZ4MGDWJaCLgUluvXryMqKgoxMTH4y1/+QoTlCfRbcZHL5cjLy8OsWbOYpFZbW1smmZSNwn1v6I4jjA3nGRvQziA+4/I7a9wcMWIEc3HV7ro/e9YYS5cOhokJhevXWzB+vDBOcToo09jYmJkF1BO6mrppa2vLmrWXdgPK5XIEBAQIMniU3j4rKipiQja5dJ+lpKQgMjISH330EV577TUiLN2g34pLVVUV02l/69YteHp6wsXFBWq1mpnBou+IEtoRplar4evr26299N44z/oKvR1SUlIiKGusrovr8OHDUVtbCzc3N6ZhlqKApUtNcf78AOzZ04rVq1U8r/zxE0hqaiqGDBnCimlDeygcPZelrxdXiqKQnZ2NqqoqBAYGCqLDvjPkcjlu3bqFSZMmYejQocx7UVdX1+VguJ6Snp6OsLAwvP/++3j77beJsHQTwYkL8PiD2FdqamqQkpICAMzjMl/1FeC/BXF6HkdvLi6azjP6bk3bedZXDCUuv7OaFX1BqawcDLkc8PPj//Rubm6GVCqFhYUFJk6cyMlNjfZcFnor0c7ODubm5t063ymKYv7tAwICDEJYfHx8OiSfaw+G03Sf2djY9Oizd/v2bYSGhuLtt9/Gpk2biLD0gH4pLo+tqGmorKzErFmzYGZmxvTO6HsbDHgsdBkZGazOj9flPOtr5hldDxB6XD7QseteV+MmbY7gUyDpWhAd6KmPc0/z4lpZWYmBAwe2s3zrEje1Wo2srCzU19fD398fgwezG8TJJl0Jizaa7jPaiadpFunq98zOzkZoaCj+93//F9HR0URYeoggxaU7o447g95+oHPAFixYAIqieHtioTOYxo0bx9mcC/p3pS+uvck8M5S4fE0HU2cTLrUbN+nxtVw3bmpDz5HvbgIzF2hP3aQt3/T2mYmJCdRqNdMYq+1eExo9ERZdaDrxuto+u3v3LkJDQ7Fq1Srs2LGDCEsv6FfiQs/utrKygqenJ65cuYJ58+bB2NhY708suhxh+qKnzjM6Lt/GxqbL+SZ8Q9cDKisrGSv5k9BX46Y2dPoDnRQtBHRZvi0sLBjrf2BgoKAs8No8fPgQmZmZvRYWbbS3z+7evYuLFy9i9uzZ2L17N5YtW4ZPPvlEsJ8HodNvxEUmkyEzMxPu7u5wc3ODUqnEjRs30NraytQlerrf2ls06xZ+fn682jg7c57R41rpLTtnZ2e4u7sL9g5NpVLh9u3baGxs7PW2DVeNm9rQ0f5jxowRZKI1TWNjIzIyMqBQKKBSqZg4Gn0/4XUHWli4SotWq9VITU3FF198gcTERNTW1iI4OBiRkZEIDw8X9HRNoSJIcdE16rgz6BTh/Px8+Pj4wN7eHmq1GiqVCkZGRkxEvlwuR2trK1OXYNO6qUlraysyMjJ65AjTF9rOs4EDB6K1tRWurq68bdt0B3oSJ/2esnF3zVbjpjZ0M19n0f5CQaVSMc5FPz8/AGCe8CorKwGAeS/0dVPWGVwLC01ZWRmCg4OxYMECrF+/HqdPn8bPP/+M1tZWXL9+nbPj9lcMWlzUajVu377NxLyYm5t36gjTvJjIZDI0NTUxd61sdcQ3NjYiPT29T44wfUAL8v3792FpaYn6+npOnGdsQNfQTE1NMXnyZM7e0940bmpDR9H7+Phw2szXV5RKJdLS0piMOO2bLIqi2hXBW1pa2tmc9Vns15ewVFRUYOHChZg9ezYOHjzY7jxTKpWCrUEKGYMVF4VCgbS0NFAUBT8/P6Yw2d3CvXZdwsrKihGa3nx4uHCEcYGuuHwunGds0NTUhNTUVFhaWvZqGmlv0dW4SZ8bnXXF0+61nkbR6xu6kXPgwIHdFmvtIri5uTnzVNPXqZtdoS9hkcvlCA0Nhb+/Pw4fPkyEhCUEKS70qOPOoF04lpaW8Pb2xoABA3o1g4WGvmuVyWSoq6tjbKwjRozo1lwZfTjC2IDOtKLrFrq2fthwnrHBo0ePmDwzPsVaV+Om9nYRPdyNi8RgNmlra4NUKmUcgb15CtScullZWQkTE5NeT93sisrKSmRkZHAuLJWVlQgLC8P48ePx008/sVZ3exKXL1/Grl27IJVKUV5ejhMnTkAsFjNfX7VqFQ4fPtzu/5k2bRpu3Lihl/WxgcGJi1wuR0ZGBtORzXbHPW1jlcvlqK6u7jJ6RdMRNmnSJM7GqLJBb+Py6Sc8OkRRH5ln1dXVzL+xq6srJ8foDZpd8XK5HC0tLTA1NUVrayunY3TZoLW1FVKpFEOHDoWPjw8rnxVdwqtpc+7thbqyshKZmZnw8vKCg4NDn9fZGTU1NQgPD4eLiwv+85//6NUpd+bMGVy9ehX+/v5YsmSJTnGRyWT4/vvvmddMTEwE/VSsjcGIC0VRKCwsxL179zoU7rnqX6G3R2QyGaqqqphBV/Q+fHZ2tiAcYU+CjXQAQLfzrKd1iSdBF8QnTJgAJyenPv88rqAoCpmZmUwfTUNDg2AaN7VRKBSQSqXMvz8X24uaT7wPHz5EY2NjrwwS+hKWuro6REREwN7eHrGxsbwab4yMjHSKS21tLeLi4nhbV18xCHGhu4fp/obhw4frPcpFpVIx+/D0XdqgQYMwYcIE2NnZCbbGUldXh/T0dDg4OLAal69Zl2Ar86ykpAR5eXmCL4jTRpKGhgbGFi2Uxk1tWlpa2kXP6Gsd2gaJ7mR96UtY6uvrIRaLYW5ujpMnT/KeRtCZuMTFxcHExASWlpaYO3cutm/fzkp/j74QpLhojjpubW1FWloaVCoV/P39e1y4Z5vGxkakpaXBxMQEQ4cObZfxZW9vz+q+c1/RV1x+XzPPNLcX/fz8dHbdCwWVSoXMzEwoFArmfNSms8ZNfTvx6Ewza2trTJgwgTeBa2tra2dz1tXISvcGTZgwgVMLd2NjI5YsWQJjY2MkJCQI4glTl7gcPXoUZmZmcHFxwf379/HBBx9AqVQyNTNDQNDi0tDQAKlUiuHDhzP7xH0p3PcVXY4wXU4rfTdt6oKvuHztRkWlUtllLDxFUcjJycHDhw+73XXPF7SFF0C361b6atzUpqmpCVKpFHZ2doKacKqZ9UX3npmbm+PRo0cYN24cp02nzc3NWLp0KZRKJU6fPs3L8DNd6BIXbcrLy+Hi4oIjR45g8eLF+ltcHxCsuJSXlyMjIwMuLi7w8PBoV7jnQ1i64wijC7600CgUCsbSa2dnpxeLo5Di8p/kPBs4cCBu3brFbC8JOYWXfoIeNGhQr/ttuGrc1KaxsRFSqRQODg6Ct8WXlZUhJycHgwcPRktLCzN1k3ZqsrX2lpYWLF++HI8ePcK5c+cE5errjrgAwJgxY/A///M/eOedd/SzsD4iSEO3TCZDeno6Jk6cCEdHR16j8jW3bHx9fbt0BBkZGcHS0hKWlpYYM2YMcyEpLCxEVlYW602b2mjGzkyZMoX3pwAjIyNYWFjAwsICnp6ejPOsrKwM2dnZMDY2ZiaDCllY6Cmmw4YN65PTysjICObm5jA3N4eHh0e7usTdu3dZMUjQT/sjR46Eh4eHYIUFeOwKpJ+uHR0d29WtCgoKMHjw4HZ1q96+7wqFAitWrEB1dTXOnz8vKGHpLlVVVSgpKRF06oM2gnxyUSgUTL8Jn8LCZkYY202b2hhSXD7tXgIe2ys154+w6TxjA7qR08rKitNQz940bmpDB7fSOXFC5kk1FrqOR4sNgHYzWbq7C9DW1oY//vGPKCwsRGJiomDs4g0NDbh37x4AwM/PD5999hmCgoJgbW0Na2trREdHY8mSJXB0dERhYSHee+89FBcXIzs7WzDbeU9CkOKiVquhUCh4LdxzmRHW0tLCCE1tbW2PmzZ1/TxDiMsH/nux1hycxYXzjA3opwC2nXZPQrt/hKKodnUrXVty9ChvofUG6aK6uhrp6ekYP358t+zmXU3d7OrmTKlU4k9/+hOys7ORmJgoKKfVxYsXERQU1OH1lStXYv/+/RCLxUhLS0NtbS0cHR0RFBSErVu3CjoIVRtBisuxY8fQ0tKCBQsWdHuKHpvQjjBzc3POM8JaW1sZoamursawYcMwYsQI2Nvbd2ja1EVDQwPS0tIYR5BQnGq6qK+vR2pqapcXa+07Vr4yz+rq6pCWlobRo0fzmhatq3FT88JqamrKxPt7eHjA2dmZl3V2l54Kiy4aGxuZlIDOpm6qVCr85S9/QWpqKpKSkji1NhN0I0hx+eKLL/D555+jtLQUCxYsgFgsRmhoKIYPH875sWlHGB8DnrTv4DWbNnX1BtCd7EKPywf+u1ZXV1e4urp2a626nGeaTiuuntDotbq7u3Nq4e4N2okJQ4cORVNTE9zc3ODh4cH38rqEDWHRRjOOpqqqCjExMXB0dERraytu376NS5cuYeTIkawci9AzBCkuAJjpeMePH0dsbCzy8/Mxf/58iEQihIWFwdLSkvWL6YMHD5CdnS2IjDDNpk06Hp8WGktLS8hkMsa9JvQPj1wux+3bt/u0Vn1lntG9QYbwvlZUVOD27dsYNmwYmpqamMbNzm5G+IQWFi7fV7VajdjYWHzzzTeQSqUYOHAgFi1ahMjISOaaQdAfghUXTegJhLTQ3LlzB/PmzYNIJEJ4eDhsbW379EESekaYWq1GdXU1s31G16Lc3d3h6uoq6K0wut/G29ub1T1vLjLPKioqkJWVxXlYIhvQIkgXxIXSuKkLfQgL8Phz8s477+Dnn39GUlIS6urqcPLkSZw8eRKbN29+otWXwC4GIS6aUBSFe/fuMUKTnp6O2bNnQyQSITIyEvb29j0SGjpapra2VvAZYXTDYUVFBWxsbFBbWyuYpk1t6JkxRUVFnPfbsJF5RovgpEmT9DqSujfQc+Q7E0FdjZuahgB9Jf8Cj7eZ09LS9CIsH3zwAf7zn/8gKSkJY8eObfd1iqIE9ST3NGBw4qIJHWYpkUhw4sQJ/P7775g2bRpEIhFEIhFGjhzZ5Qkl5KmR2tBjfjUbDumtInoAGh9Nm7rQnBlDD3HTF71xnhUWFuL+/fu8N512h4qKCty5c6fbT4L6atzUhb6EhaIobN26FYcOHUJSUhImTJjA2bE0eVJsPkVR2LJlC7755hvU1NRg2rRp+PLLLzFx4kS9rI9vDFpcNKG7fWNjYyGRSHDt2jX4+/tDLBZDJBLBxcWl3YVFn46wvqIZlz958mSd9QXNi4hcLkdjYyPnTZu6oEMd6+vree+6f5LzzMjICPn5+SgtLWUCUYUMPemyL09XdOMmbYPnqr+IFpaxY8dyWr+kKAoxMTHYv38/EhMT4ePjw9mxtHlSbH5MTAy2b9+OQ4cOYezYsdi2bRsuX76M3Nxcg+lV6Qv9Rlw0oSgKFRUViIuLg0QiwaVLl+Dj48MIzd27d7Fz50589dVXGD9+vKAfl5ubm5GamtrjuHx6eqBcLsejR49gaWnJ3MFzlQKr2cjZWagjX+jaKqJnsQh9yBfweL57bm4uq3Nj2traGOHtbeOmLmpra5GamqoXYdm9ezc+/fRTXLhwAX5+fpwd60loR7hQFAUnJyesX7+eiWtRKBSwt7dHTEwM1q5dy9ta9UW/FBdNKIpCVVUV4uPjcfz4cfz6668YMGAAoqKisGHDBl7TYp8EW3H5bDdt6oLO3qLH5wq5kZNONq6trYWJiUm73pERI0YIShSB/44i8PPz42zbrjeNm7rQp7B8+eWX+Pjjj3Hu3DlMnTqVs2N1B21xKSgogIeHB1JTU9uJnkgkgqWlZYcpk/0R4V4BWMLIyAi2trZYs2YNioqKcO3aNaxduxY5OTmYM2cOXF1dERkZiaioKM4GKfUGNuPyBw8eDGdnZzg7O7dr2rx37x7TtNmXbRH66YreYhTKe6gLetuupaUFM2fOhKmpKeM8o7ed9DFts7sUFRWhoKAA/v7+nFppjY2NmTqMZuPmvXv3cPv27W7ZvulmTn0Iy4EDB7B9+3acOXOGd2HRRUVFBQB0MFzY29ujqKiIjyXpnX4vLjQ//PAD/v3vf+P69evw8vIC8DiLKSEhARKJBPPnz4ejoyMjNH5+frxdJGnnEhdDk0xMTDBq1CiMGjWqXfG7sLDwiU2buqC77u3t7QUV7a4LlUqF9PR0KJVKBAYGMq6pYcOGwc3NDW5ubu2cZ3l5ebxmnt2/fx+FhYV637bTDmDVDhy1sLBghIieh0ILi6enJ+fCcvjwYWzevBkJCQmYOXMmZ8diA+3z5WlyrfX7bTEalUqFmpqaTguhDQ0NOHPmDGJjY3Hq1ClYW1sjIiICYrEYU6dO1UvBXzuBWZ/OJc2BXw8fPoSxsTEjNFZWVjo/EDU1NUhPT4eLiwvc3NwE/aFpa2tDWloaBgwYAF9f325t2/GVeUafByUlJQgICBBU8VfXxE1zc3M8fPgQnp6enMbPUBSFH3/8EW+//Tbi4+Px7LPPcnasnkK2xTry1IhLT2hubsYvv/wCiUSChIQEDBkyBJGRkRCJRJg5cyYn9QS1Wo3s7GxUV1fz3m+j3bQJgLmo0g15dNc911sgbKBQKJCamorBgwdj0qRJvbpR0FfmGd3H9eDBAwQEBAi670qpVKK4uBgFBQUwMjLCwIEDOWvcpCgKx44dw7p163D8+HGEhISw9rPZoLOC/ptvvomNGzcCeFyXHDFiBCnoEx6jUChw4cIFSCQSxMfHw9jYmHmimTNnDisNaUqlEpmZmWhtbYWvry/vM701oSgKNTU17SZtDhs2DI8ePWLmcAgZuh40fPhwJoW5r3TWpNjXzDOKonD37l3IZDIEBAQIYgRvV9BJzJ6enhg5ciSnjZsnTpzAn//8Zxw9ehTh4eEs/QZ9o6vYfGdnZ8TExODjjz/G999/jzFjxmDHjh24ePEisSITOtLW1oZLly7h+PHjiIuLQ1tbGyIiIiASiTBv3rxeNWEqFAqkpaXBxMRE8HH5arUaubm5KCsrg4mJSYeLqj47v7tDY2MjUlNTYWtry5nlnKIo1NfXM+Lb1NQEGxubHjvP6PSFyspKBAQEsObi4wpaWHQlMdPvCV27amxsZBo3e2OFT0hIwOrVq/HDDz8gKiqKzV+jT3QVm3/o0CGmifLrr79u10Tp7e3Nw2r1DxGXXqJUKvHbb78xQtPQ0IBFixZBLBZj/vz53XIZGVJcPn1XXVFRwcy6b2xshEwmYy4gtKNICHZe2mjg5OSk13Rr7f6i7jjPKIpihtIFBATw7lB7El0Jiy760rh59uxZrFixAt999x2WLVvG5q9B4BgiLiygUqlw48YNJoamqqoKCxcuhFgsRnBwsM7tDboYbghx+XT+Wl1dHfz9/XXeVTc1NTF37/pq2uwM2rnk6uoKNzc3vR5bE+3MM122b3raaV1dHQICAgS1JaqLngqLNj1p3ExMTMTy5cvx1Vdf4Q9/+IOgPyOEjhBxYRm1Wo2UlBRGaMrKyrBgwQKIRCJmJs33338PIyMjPPfcc4IvhmvWg7o7Plm7adPc3Bz29vasNm12Bj0+d8yYMYKa2qfLeWZnZ4f6+nooFAoEBgYKOtsO6LuwaKOrcfPmzZtwdHSEvb09/vjHP2LPnj1YvXo1ERYDhIgLh6jVamRmZjIJzgUFBfDz80N6ejr27Nkj+LsxNrruW1tbmbv3qqoqVpo2O4NOC/by8hK00YCe1ZObmwuFQsHcvQshHr8zHj16BKlUytkANbpxc+fOnTh27BhkMhm8vLzw+uuvIzIyUlAjigndg4iLnlAqlVi9ejVOnDgBLy8vpKenIygoiJlJY2NjIyih0cw08/HxYeWCp+vunX6i6etwK7q7nu25MVxAx8/Q7kDN2TRsOc/YhGth0SQ5ORmRkZFYt24dzMzMEB8fj5SUFOzatQtvvvkmp8cmsAsRFz1AURSWL1+OtLQ0nD17Fm5ubsjLy2OeaDIyMjBnzhyIRCJERET0eCYN2zQ0NCA1NRV2dnacuay6atrsaWginb3FZqgjV9ApASqVCn5+fu0cdmw5z9iEFhY3Nze4urpyeqy0tDSEh4fj73//O9566y3mvCsvL4dKpRL8FjKhPURc9IREIsHcuXM7JATQQ7XoGk1ycjKmT5/OzKRxcnLSq9DQxXB9Gg00mzbpvffubBPR83wKCwvh5+cn+DG2SqUS6enpoCgKfn5+T3wq6Y3zjE30KSy3bt3CokWL8Pbbb2PTpk283VxFR0djy5Yt7V6zt7dnssII3YeIi4CgKAqlpaWIjY1FbGwsrl69isDAQEZotGfSsA0dlslnMZyiKKYZTy6XQ6lUttsmorvrKYpCXl4eysvL9T6QrDfQ8TPGxsbw9fXtcUoA7TyjY1e4rF0Bj4UlNTUVrq6unAvLnTt3EBoair/+9a/48MMPeX1qj46OZtLTaehQT0LPIOIiUOiZNCdOnIBEIsHly5cxadIkRmjY7t148OABsrOzBTU/XnPSplwuR0tLC9P1XV1djZqaGvj7+wu+k72trQ2pqalMo2xfc+o6c57RW4p9PS/q6+shlUr1Iiy5ubkIDQ3F6tWrsWPHDt7rjtHR0YiLi0N6ejqv6+gPEHExACiKQmVlJTP8LCkpCePGjYNIJIJYLO5zXYQe8zt58mRYW1uzuHL2oCiKadosLi6GUqmElZUVHBwcBNG02Rmtra3tcs3YdoJ1lnlmZ2cHGxubHh+PFhY6jJRL8vPzERISguXLl2PXrl2CcMlFR0dj165dsLCwgKmpKaZNm4YdO3bA3d2d76UZHERcDAw66+vkyZOQSCQ4f/483N3dmVEBPcnP0txa8vPzE/yYX9plpVAoMGHCBCbzjK5H0M4zoTQiKhQKSKVSZooo1xfPvmae6VNYCgsLERoaioiICHz++eeCEBbg8ejipqYmjB07FjKZDNu2bUNOTg6ysrIEbxYRGkRcDJy6ujokJCQgNjYWZ8+ehaOjI0QiEaKiouDr69vph5buDK+tre20615IaBbDfX1927mstDvhzc3NmXoEX1tmLS0tkEqlsLCwgJeXl94vnj11nulTWEpLS7Fw4UIEBwdj//79ghEWXTQ2NsLDwwMbN27EW2+9xfdyDAoiLv2IhoYGnD59GrGxsTh9+jSsra0RGRkJsViMKVOmMHv99fX1yMnJgVKphL+/v+A7w+lmzkGDBmHy5Mld1iz02bTZGc3NzZBKpbCysoKXlxfvdQSga+eZUqnUm7CUl5cjJCQEc+bMwYEDB/QyJ6mvLFiwAJ6enti/fz/fSzEoiLj0U5qamtrNpBk2bBgiIyMRFBSE6OhozJkzBzExMYJLMtampaUFqampGDZsWI+bOZVKZbvCt4mJCefDvpqamiCVSjlNYu4rCoWC2Tqrrq4GRVGwsrLCuHHjOBVgmUyG0NBQBAYG4vDhwwYhLAqFAh4eHvjzn/+MzZs3870cg4KIy1NAS0sLLly4gMOHDyM+Ph4uLi6YPXs2lixZgtmzZwtWYDSfAPqaGs1m02ZnNDY2QiqVwt7eHmPHjhWksGjS0NCA5ORkxsTBhfOMprKyEosWLYKXlxd++uknQSQP6GLDhg2IiIiAs7Mz5HI5tm3bhkuXLuHWrVucpxP0N4i4PCVkZ2cjODgYISEhWLJkCU6cOIG4uDioVCqEh4dDLBZj3rx5gnFd0SkBI0aMwLhx41i9UKvVatTU1EAmkzFNm/QFtTcOK3q9UqlU7xH/vaWhoQEpKSkYPXo0PDw8APw3SJIW4L46z2iqq6sRHh4ONzc3HD16VDDnmC6WL1+Oy5cvo7KyEnZ2dpg+fTq2bt0KLy8vvpdmcBBxeUp44YUXMH78eGzZsoW58NEzaY4dO4a4uDg0NTVh0aJFEIlEeO6553hzXdENfKNHj+Y8JUC7abOtrY0RGs2mza6gi+H6WC8b6BIWbWjnGV2n6W3mWW1tLSIiIuDg4IDY2FjB1/cI7NEvxGX79u04deoU0tPTYWJigtra2g7fU1xcjL/+9a9ITEzEkCFD8NJLL+GTTz4R9F0Um7S1tXW5/aVSqXD9+nUmhqa6uhohISEQi8VYsGCB3lxX9JwbfYQkaqPpsJLJZGhpaYGNjQ0zb0TX+1dXV4e0tDS9FMPZgH7CGjVqVKfCok1XzjM7O7tOBePRo0cQi8UYPnw4Tp48KRiLOEE/9Atx+fDDD2FpaYnS0lJ8++23HcRFpVLB19cXdnZ2+PTTT1FVVYWVK1di8eLF2Lt3Lz+LFjBqtRrJycmM0Dx48ADBwcHMTBquolbo+JmxY8fyHlJIN23SF9SGhgZm0iZ9QaVz2PgQwt7QG2HRRXcyzxoaGrB48WIMGjQIp06dErzVncA+/UJcaA4dOoT169d3EJczZ84gPDwcJSUlcHJyAgAcOXIEq1atglwuF3zzIJ+o1WpkZGQwCc6FhYV47rnnEBkZibCwMNZcVxUVFcjKysLEiRPh4ODAwsrZRXvS5rBhw9DU1AQ3NzeD6N6mhWXkyJHw8PBgbetO03lWXl6OzZs345lnnsGdO3dAURTOnj0LMzMzVo5FMCyeCnHZvHkz4uPjkZGRwbxWU1MDa2trJCYmIigoSM8rNUwoikJWVhYjNLm5uZg3bx7EYjHCw8NhbW3dq4tWaWkp7t69Cx8fH4MICCwvL0dWVhaGDBmC5uZmQTRtdkVjYyNSUlJYFxZt6uvr8a9//Qv//ve/cefOHYwaNQpLliyBWCzGzJkzDcJ6TGAP4bbGskhFRUWHMEYrKyuYmJiQKO0eYGRkBG9vb0RHRyMjIwOZmZmYO3cuvv32W7i7uyMiIgIHDx6ETCZDd+9ZioqKkJeXBz8/P4MQlsrKSmRnZ8PLywuzZs3CM888g9GjR6O2thbXr1/HtWvXcO/ePdTX13f7PeASfQkLAJiYmCApKQkmJiYoLi7G3r17UVNTg6ioKKSkpHB2XIIwEay4REdHw8jIqMs/PTlhdX2oKIoSvLNHqBgZGWHcuHF47733kJycjJycHISEhOD//u//MHbsWISGhmL//v0oKyvTeZGlKAr37t3D/fv3ERAQACsrKx5+i54hl8uRmZkJLy8vZnvVxMQETk5O8PPzw7x58+Du7o6mpiYkJyfj6tWruHv3Lmpra3kRGn0KS1tbG1atWoUHDx7g3LlzcHJyQkREBL777jtUVFRg6tSpnB2bIEwEuy1WWVmJysrKLr/H1dW1nQOFbIvxD0VRKCkpYWbSXLt2DVOmTGFGBTg7O0OtVmPPnj3w9/dHYGCgQezJy2Qy3L59Gz4+Pt0ao6yPps2uoIVFH303SqUSa9asQU5ODpKSkgTxBLpv3z7s2rUL5eXlmDhxInbv3o05c+bwvaynCsGKS294UkG/tLQUjo6OAICjR49i5cqVpKDPIRRFoby8nJlJc+XKFUyaNAmDBw9GQUEBEhMTDcJlVV5ejuzs7F7XhOimTdoQwEbTZlfoU1hUKhXWrl2LtLQ0JCUlCcKMcfToUaxYsQL79u3DrFmz8PXXX+PgwYO4c+cOnJ2d+V7eU0O/EJfi4mJUV1fj5MmT2LVrF65cuQIA8PT0hJmZGWNFtre3x65du1BdXY1Vq1ZBLBYTK7KeoCgKZWVlEIlEyM/Px8CBAzFy5EhmJg3bXfhsUVZWhtzcXEyePJmVyHWKolBXVweZTNauOdHe3h42NjZ9jkWhI2gcHR31IiyvvfYarl69iosXL2LkyJGcHasnTJs2Df7+/u2CJidMmACxWIyPP/6Yx5U9XfQLcVm1ahUOHz7c4fWkpCTMmzcPwGMBevXVVzs0UZKOYf3Q2NiIxYsXo6amBqdPn8aAAQMQHx8PiUSCX3/9Fe7u7syoAD4i6nVBu9h8fX05GaKm3ZzY3Nz8xKbNrmhqakJKSgocHBwwZswYToVFrVZj/fr1SExMRFJSkmCeQFtbWzF06FAcO3YMUVFRzOtvvPEG0tPTcenSJR5X93TRL8SFIHzq6+vxwQcfYOvWrR2aMOvq6vDzzz8zM2lGjhwJsVgMsViMyZMn8yI0xcXFyM/Ph5+fHywtLfVyzIaGhi6bNrtC38KyceNGJCQk4OLFi4Lq83nw4AFGjhyJq1evYubMmczrO3bswOHDh5Gbm8vj6p4u+L897Ie4urp2cLa9++67fC+LV8zNzbF7926d3f0WFhZ4+eWXERsby0z/Ky4uRkhICHx8fLBp0ybcvHkTarVaL2stLCxEfn4+/P399SYsAGBmZgZ3d3dMnz4ds2bNgo2NDcrLy3HlyhUkJyejqKgIzc3NHf4/fQvL3//+d8THx+PChQuCEhZNtN8D4gzVP8LMve4HfPTRR3jllVeYvxuCI0oImJubY9myZVi2bBmamppw7tw5SCQSREVFwdzcHJGRkRCJRJgxYwYnTXkFBQUoLi5GQEAAr0aPIUOGwMXFBS4uLkwXvFwuR15eHszMzJiRzrQl397ennNhoSgKW7duxZEjR5CUlIQxY8ZwdqzeQoeNavevyeXyDr1uBG4h4sIR5ubmgnDOGDJDhw5FVFQUoqKi0NLSgl9//RUSiQQvvvgiTExMEB4ejqioKMyaNavPM2koikJ+fj7KysoEZ482NTXF6NGjMXr0aLS1teHhw4eQyWTIz88HoJ9zjaIo/OMf/8B3332HxMRETJgwgdPj9RYTExMEBATg/Pnz7Wou58+fh0gk4nFlTx+k5sIBrq6uUCgUaG1txejRo/H888/jb3/721OTwMw1bW1tSEpKwvHjxxEfHw+1Wo2wsDBERUVh7ty5PX6fKYpCXl4eysvLERgYKMgIF23orTAzMzMMHDiQ00mbFEXhs88+w+7du3HhwgX4+vqy8nO5grYif/XVV5gxYwa++eYbHDhwAFlZWYIxHjwNEHHhgH/+85/w9/eHlZUVfv/9d2zatAkikQgHDx7ke2n9DqVSiStXruDYsWOIj49HU1MTwsLCIBaL8eyzzz4x5p2iKOTm5uLhw4cICAgwiPTe5uZmpKSkYMSIEczES81BX3K5HAMGDGCExsrKqtemCIqisHfvXsTExOCXX37BlClTWP5tuGHfvn3YuXMnysvL4e3tjX/+85945pln+F7WUwURl24SHR2NLVu2dPk9ycnJCAwM7PC6RCLB0qVLUVlZyUqvBEE3KpUK165dY0YF1NbWtptJoy0cFEUhOzsb1dXVCAgIYOLihQwtLHZ2dp32BnXVtGltbd3tWhVFUfjmm2+wZcsWnDlzBjNmzGD71yH0Y4i4dJPexNHQlJWVYdSoUbhx4wamTZvG1RIJGqjVavz++++M0FRUVDAzaUJCQjBkyBC88cYbWLhwIYKDgw1ikFV3hEWbzpo2nzRRkqIoHDp0CJs2bUJCQgK56yf0GCIueiAhIQEREREoKioi8RM8oFarkZ6e3m4mjYeHBx49egSJRIKJEycK3qbaG2HRprtNmxRF4YcffsCGDRtw8uRJkr1H6BVEXFjm+vXruHHjBoKCgmBhYYHk5GS8+eabCAwMRHx8PN/Le+pRKBQICwvDrVu3MGrUKNy+fRtBQUEQi8UICwvr9UwaLmFDWHTR0NDAOM8aGhpw4sQJuLq6wtLSEu+//z4kEgkWLlzIyrEITx/EiswypqamOHr0KLZs2QKFQgEXFxe88sor2LhxI99Le+pRKpVYunQpampqcOfOHVhbWyM3NxcSiQQHDhzA66+/jjlz5kAsFiMiIgJ2dna8C01zczOkUilsbW1Zz18zMzODmZkZ3NzcGAE7cuQIcnNzMX78eGRlZWHcuHFwdXVl7ZiEpwfy5NIPIPHi3efgwYNYunRph857iqJQUFCA48eP48SJE5BKpZgxYwbEYjEiIyPh6Oiod6GhhcXGxgbjx4/n/PgJCQlYvXo19u7di7a2NkgkEiQlJeGjjz7Cpk2bOD02of9BxMXAIfHi7ENRFIqLi5mZNNevX8fUqVOZmTSjR4/m/ELf0tKClJQUvQnL2bNnsWLFCnz//fd44YUXmNerq6uhUCiYURUEQnch4mLgkHhxbqEoCg8ePGBm0vz222/w9fVlhMbd3Z31Cz8tLNbW1pgwYQLnwnLhwgW8+OKL+Oqrr/CHP/yB961AXbi6uqKoqKjda++88w7+8Y9/8LQiwpMg4mLAkHhx/UJRFORyOeLi4iCRSHDx4kV4eXkxM2nohsa+oG9huXz5Mp5//nl8/vnnWLVqlSCFBXgsLn/605865PUJKaaH0B6SimzAVFZWQqVSdQjks7e37xDcR+g7RkZGsLe3x9q1a3Hu3DmUl5fj9ddfR0pKCmbMmIGpU6di27ZtyMrK6lWCs76F5erVq3jhhRewa9cuQQsLDZ2hRv8hwiJsiLj0A0i8uP4xMjKCjY0N1qxZg1OnTqGiogLvvvsusrOzMXfuXPj7++PDDz9EWlpat4RG38Ly+++/Y+nSpdi+fTvWrl1rEOdLTEwMbGxs4Ovri+3bt6O1tZXvJRG6gFiRDRgSLy4cLC0tsWLFCqxYsQL19fU4deoUYmNjERISAltbW0RGRiIqKgqBgYEdcr5aWloglUphZWWlF2FJTU1FVFQUNm/ejHXr1hmEsLzxxhsd8vru379P8voEDKm5GDjTpk1DQEAA9u3bx7xG1wFIQZ9/mpqacPb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\n" }, "metadata": {} } From adb65b39e91fbbd569c94125baddebc75dbbcb6c Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 15:45:57 -0400 Subject: [PATCH 21/73] Added README.md to examples/ode --- examples/ode/README.md | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 examples/ode/README.md diff --git a/examples/ode/README.md b/examples/ode/README.md new file mode 100644 index 00000000..ac9aad93 --- /dev/null +++ b/examples/ode/README.md @@ -0,0 +1,14 @@ +In this folder, we train the ODESolver model on three different ODEs: + +Lorenz63: + +![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/7928004d58943529a7be774575a62ca436a82a7f) + +Duffing equation: + +![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/4881d84893e137772068573bb1218fc1e2b295cd) + +SEIR: + + +![alt text](https://miro.medium.com/max/1056/1*dXCHv_pSYiMG90efXiFNPQ.png) \ No newline at end of file From b53ca5a547c377c884cbe471bbc36d847a5bc299 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 16:25:36 -0400 Subject: [PATCH 22/73] Increased prediction range to 10000 --- .../ode/DuffingEquation/DuffingTest_fit.ipynb | 447 +++++++++++--- .../DuffingTest_fitRandomSample.ipynb | 24 +- examples/ode/SEIR/SEIRTest_fit.ipynb | 549 ++++++++++++++---- .../ode/SEIR/SEIRTest_fitRandomSample.ipynb | 209 +++---- examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 18 +- .../Lorenz63Train_fitRandomSample.ipynb | 4 +- 6 files changed, 902 insertions(+), 349 deletions(-) diff --git a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb index 75d6cd6c..0ccda33b 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 13, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -53,24 +53,16 @@ }, { "source": [ - "# 4th Order Runge-Kutta - Data Generation" + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 5, "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Coeffs: {'a': Parameter containing:\ntensor(0.1000, requires_grad=True), 'b': Parameter containing:\ntensor(0.5000, requires_grad=True), 'd': Parameter containing:\ntensor(0.2000, requires_grad=True), 'g': Parameter containing:\ntensor(0.8000, requires_grad=True), 'w': Parameter containing:\ntensor(0.5000, requires_grad=True)}\n" - ] - } - ], + "outputs": [], "source": [ "ode_solver = ODESolver(\n", " ode=ode,\n", @@ -86,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -103,7 +95,7 @@ ] }, "metadata": {}, - "execution_count": 43 + "execution_count": 6 } ], "source": [ @@ -112,14 +104,14 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -143,7 +135,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -161,14 +153,14 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T10:13:39.411604\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T15:54:52.455444\n image/svg+xml\n \n \n Matplotlib v3.4.2, 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\n" }, "metadata": {} @@ -186,114 +178,393 @@ }, { "cell_type": "code", - "execution_count": 53, - "metadata": {}, + "execution_count": 10, + "metadata": { + "tags": [] + }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "n: 1000\n", - "Epoch: 0\t Loss: tensor(0.4499, grad_fn=)\n", - "Epoch: 1\t Loss: tensor(1.1035, grad_fn=)\n", - "Epoch: 2\t Loss: tensor(0.2227, grad_fn=)\n", - "Epoch: 3\t Loss: tensor(0.3194, grad_fn=)\n", - "Epoch: 4\t Loss: tensor(0.3879, grad_fn=)\n", - "Epoch: 5\t Loss: tensor(0.4162, grad_fn=)\n", - "Epoch: 6\t Loss: tensor(0.4207, grad_fn=)\n", - "Epoch: 7\t Loss: tensor(0.4132, grad_fn=)\n", - "Epoch: 8\t Loss: tensor(0.4000, grad_fn=)\n", - "Epoch: 9\t Loss: tensor(0.3844, grad_fn=)\n", - "Epoch: 10\t Loss: tensor(0.3682, grad_fn=)\n", - "Epoch: 11\t Loss: tensor(0.3524, grad_fn=)\n", - "Epoch: 12\t Loss: tensor(0.3375, grad_fn=)\n", - "Epoch: 13\t Loss: tensor(0.3237, grad_fn=)\n", - "Epoch: 14\t Loss: tensor(0.3110, grad_fn=)\n", - 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"Epoch: 57\t Loss: tensor(0.0565, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3245, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5544, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.4120, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6431, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 58\t Loss: tensor(0.0522, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3207, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5550, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.4026, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6530, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 59\t Loss: tensor(0.0481, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3170, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5556, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3927, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6627, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 60\t Loss: tensor(0.0440, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3132, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5562, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3825, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6722, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 61\t Loss: tensor(0.0400, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3094, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5568, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3719, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6816, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 62\t Loss: tensor(0.0362, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3056, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5574, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3610, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6908, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 63\t Loss: tensor(0.0325, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3017, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5579, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3498, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6998, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 64\t Loss: tensor(0.0290, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2980, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5585, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3384, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7086, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 65\t Loss: tensor(0.0256, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2942, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5590, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3268, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7172, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 66\t Loss: tensor(0.0225, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2904, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5594, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3151, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7255, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 67\t Loss: tensor(0.0195, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2867, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5598, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3033, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7335, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 68\t Loss: tensor(0.0168, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2830, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5602, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2915, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7413, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 69\t Loss: tensor(0.0144, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2793, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5606, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2797, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7487, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 70\t Loss: tensor(0.0122, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2757, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5608, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2682, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7559, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 71\t Loss: tensor(0.0103, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2721, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5611, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2568, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7626, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 72\t Loss: tensor(0.0088, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2687, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5612, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2459, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7691, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 73\t Loss: tensor(0.0075, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2653, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5614, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2353, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7751, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 74\t Loss: tensor(0.0065, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2619, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5614, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2253, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7808, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 75\t Loss: tensor(0.0057, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2587, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5614, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2160, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7861, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 76\t Loss: tensor(0.0052, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2556, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5613, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2074, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7910, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 77\t Loss: tensor(0.0050, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2525, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5611, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1996, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7955, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 78\t Loss: tensor(0.0049, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2496, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5609, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1928, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7995, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 79\t Loss: tensor(0.0049, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2468, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5606, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1870, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8032, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 80\t Loss: tensor(0.0051, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2441, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5602, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1822, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8064, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 81\t Loss: tensor(0.0053, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2415, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5597, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1785, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8093, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 82\t Loss: tensor(0.0055, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2390, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5592, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1759, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8118, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 83\t Loss: tensor(0.0056, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2366, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5586, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1744, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8139, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 84\t Loss: tensor(0.0057, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2344, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5580, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1739, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8156, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 85\t Loss: tensor(0.0057, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2322, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5573, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1743, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8170, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 86\t Loss: tensor(0.0057, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2302, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5565, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1757, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8181, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 87\t Loss: tensor(0.0055, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2282, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5557, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1778, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8189, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 88\t Loss: tensor(0.0053, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2263, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5548, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1805, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8194, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 89\t Loss: tensor(0.0051, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2245, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5539, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1838, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8197, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 90\t Loss: tensor(0.0048, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2228, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5529, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1875, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8198, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 91\t Loss: tensor(0.0045, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2211, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5519, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1915, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8196, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 92\t Loss: tensor(0.0042, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2195, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5509, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1956, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8193, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 93\t Loss: tensor(0.0039, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5499, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1998, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8189, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 94\t Loss: tensor(0.0037, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2164, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5488, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2039, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8183, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 95\t Loss: tensor(0.0035, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2150, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5477, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2079, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8177, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 96\t Loss: tensor(0.0033, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2135, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5466, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2118, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8170, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 97\t Loss: tensor(0.0031, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2121, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5455, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2153, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8162, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", "Epoch: 98\t Loss: tensor(0.0029, grad_fn=)\n", - "Epoch: 99\t Loss: tensor(0.0028, grad_fn=)\n" + "{'a': Parameter containing:\n", + "tensor(0.2107, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5444, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2186, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8153, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(0.0028, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2094, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5433, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2215, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8145, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n" ] } ], @@ -307,7 +578,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -327,61 +598,61 @@ ] }, "metadata": {}, - "execution_count": 54 + "execution_count": 11 } ], "source": [ "ode_solver_train.coeffs\n", "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# \"b\", \"d\", \"g\" differ by at most 0.1. \"a\" differs by 0.1094.\n", "# TODO: Investigate why \"w\" isn't learning" ] }, { "source": [ - "# Re-calculate using 4th Order Runge-Kutta" + "# Predictions for nt = 10000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 14, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [0.0000e+00, 8.1448e-03, 1.0000e-04],\n", - " [8.1448e-05, 1.6272e-02, 2.0000e-04],\n", + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 0.0000e+00, 8.1448e-03, 1.0000e-04],\n", + " [ 8.1448e-05, 1.6272e-02, 2.0000e-04],\n", " ...,\n", - " [7.2694e-01, 1.4097e-01, 9.9701e-02],\n", - " [7.2835e-01, 1.4519e-01, 9.9801e-02],\n", - " [7.2980e-01, 1.4939e-01, 9.9901e-02]], grad_fn=)" + " [ 1.0326e+00, -5.6420e-06, 9.9975e-01],\n", + " [ 1.0326e+00, -5.0049e-06, 9.9985e-01],\n", + " [ 1.0326e+00, -4.3689e-06, 9.9995e-01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 55 + "execution_count": 14 } ], "source": [ - "results_test = ode_solver_train(1000)\n", + "results_test = ode_solver_train(10000)\n", "results_test" ] }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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ePwoA8PSnJfjqBEcRqS+GERLN16XuP0VjkTuau2rIfQiCgN99eBg1rV1IDPXFup9Pcnjn1HtzUnD75HiYBGDllmJUNnc69PXIvTCMkCgMRhPyT5m39LrzFI2F5XC/vWeb0NatF7kaokt7c18Fvjx+HgqZBC/cPgmBg9i6e6UkEgmeunEsJiUEo63bgP/dfAg9Bu6wITOGERLF4WoNtN0GBPkoMCEuWOxyrlhqhD9Swv2gN37fN4XIFZ1tbMeft58AAPzh+nSMi3Nesz6FTIp/LZ6EYF8FDldrsObzE057bXJtDCMkij29baZnpIZ5zBkWub0LWTkfTq7KaBLwuw+OoMdgwsyR4bh7WpLTa4gN9sGzP5sAAHjt23PIP83wTgwjJBLLP0AzRoSJXIn9XJtunm7aWdrIBk/kkt7cdw6FFRfgp5ThmZvHiXb8wrXpkbhraiIA4PcfHOHUJjGMkPO1detRVNUKwDwy4iky4oMR7KuApuv790fkKqovdOJvX5QCAFZfn47YYB9R6/n9/FFICPFFraYbf/6M0zXejmGEnG7f2WYYTQKSw/wQH+Irdjl2I5dJMXNkOADgqxPc4kuuZc32k+jSGzE5OQSLJ4t/eJ2vUo6//894AMC731VZp27JOzGMkNPtOfP9ehFPY9mm/PVJrhsh17HvbDM+O1oHqQR48qdjIHWRdVrZKaHW6ZrHPj4GncEockUkFoYRcrr83t+AcjxovYjFzJHhkPUenFfVwj4KJD6D0YQn/3McALA4OwHp0YEiV9TXb+alITxAhbKmDryyu0zsckgkDCPkVFUtnShv6oBMKsGU4aFil2N3wb5KZCYOAwB8U8qpGhLf5u+qcLK+DUE+CvxmbprY5VwkUK3A/7shHQDwr6/PMMR7KYYRcirLFE1GfLBTGi2JwTJVw3UjJLa2bj2e22FetLpq7kgM81OKXFH/fjohBlNTQqEzmPDEJ8fFLodEwDBCTmXtL+KBUzQW1/aGkX1nm9GhM4hcDXmzDXvKcaFTj5RwP9yRLf6i1YFIJBI8vXAMFDIJvjrZwN4jXohhhJzGaBKsIyM5I8JFrsZxUiP8ER/igx6jCd+e4Q4BEkdLRw9ezS8HAPxmbhrkDj575kqlRgTg51PMi1n//NkJGE2CyBWRM7n2307yKMdrNdB06RGgkmOCE1tQO5tEIsHsNPPoCNeNkFhe2nUW7ToDxsQEYv7YKLHLGZQHZo9AgFqOk/Vt2HqoWuxyyIkYRshp9p1tBgBMTg5x+d/SrtTsdPMpvl+daIAg8Dc8cq56TTfe2HsOAPDwvDSX2cp7OcP8lPjf2akAgH/sKEVXD7f6egvP/kQgl7KvzBxGpnrgLpofy04OgY9ChoY2HY7XasUuh7zMi9+cgc5gwlVJw3DNSPeaEl0yNQlxw3xwXqvDq/nc6ustGEbIKfRGE74rbwEATEnx/DCiVsgwrTd07eZiPHKiBm03thRUAQBWzU0T7fyZoVIrZPjddaMAAOt3nUVjm07kisgZGEbIKY7WaNDRY0SQjwKjXazpkqPMTDP/RrqrlGGEnGfDnnL0GEzITByGKSkhYpczJAvGR2NCXBA6e4x4addZscshJ2AYIaewrBfJTg5xm/nrK3XNSPMi1sKKCzyVlJyitbMHb++vAACsmDXc7UZFLCQSCVblmhu0vb2/Aue13SJXRI7GMEJOsb93vcg0L1gvYpEQ6ovkMD8YTAL29oYxIkd6Y28FOnqMGBUVgFm9O7rc1dUjwpCVOAw6gwkvfnNG7HLIwRhGyOF6DCYUnLsAAJg63HObnfXHcorvrlOcqiHH6tAZ8Npec1+RFbNS3XZUxMI8OjISALD5YCWqL7BNvCdjGCGHO1zdii69EaF+SoyM9Be7HKeyhpHSRm7xJYfafLASrZ16JIX64vpx0WKXYxfThodhakoo9EYBL3zN0RFPxjBCDmdZLzIlJdTtf1uzVXZKCJRyKWpau3C2sUPscshD6Y0mbNhjHhW5b+ZwyDxoXdZvekdH3i+sRkUzf4Y8FcMIOZw1jHjRehELX6Uc2cnmHQ2cqiFH+fxYPeo03QjzV+LmSbFil2NXWUkhmDkyHEaTwJ01HszmMLJ7924sWLAAMTExkEgk+Oijjy55/datWzF37lyEh4cjMDAQU6dOxZdffjnUesnNdOuNKKzsXS/iBf1F+sN1I+RoG3tHRX4+JREquUzkauzP0pX1g8Jq1Gm6RK6GHMHmMNLR0YEJEybghRdeGNT1u3fvxty5c7F9+3YUFhZi1qxZWLBgAYqKimwultxPUWUregwmhAeoMDzcT+xyRGEJIwfKmtGtZ3trsq9DlRdQXNUKpUxqPWjO02QlhSA7OQR6o4CXd7MrqyeS2/qE+fPnY/78+YO+fu3atX3++5lnnsHHH3+M//znP8jIyLD15cnNWFvAe+F6EYvUCH/EBKlRq+nGvrJmt99ySa7FslbkxokxCPNXiVyN49w/OxUHNhzE5oOVWDEr1aPfqzdy+poRk8mEtrY2hIQM3BlQp9NBq9X2+SL3tN+LzqMZiEQiwczeAMJurGRPNa1d+OJYPQDgnunJIlfjWDNSwzAhLgjdepN1Woo8h9PDyLPPPouOjg7ceuutA16zZs0aBAUFWb/i4+OdWCHZi85gRHFVKwBYF3F6K8tUzW6uGyE7enPfORhNAqYND8XoGM8+ZkEikeDXs8xrR97aVwFNF7saexKnhpHNmzfjiSeewJYtWxARMfBQ9erVq6HRaKxfVVVVTqyS7OVItQY9BhPC/JVIDvPO9SIW01JDIZdKUNbUgcpmNm+iK9fVY8TmA5UAgF94+KiIxdz0SIyM9EebzoA3954TuxyyI6eFkS1btmDp0qV47733MGfOnEteq1KpEBgY2OeL3M/B3lN6r0oK8dr1IhaBagUmJQ4DAOziKb5kB/85UgtttwHxIT6YPco71iFJpRKs6B0d2fhtOTp0BpErIntxShjZvHkz7r77brzzzju44YYbnPGS5AIsYWSyl0/RWPywGyvRldrUeyDe4smJXnP4JADcMC4aiaG+uNCpx7vfcdTcU9gcRtrb21FcXIzi4mIAQHl5OYqLi1FZaR4uXL16NZYsWWK9fvPmzViyZAmeffZZTJkyBfX19aivr4dGo7HPOyCXZDQJKKww9xe5KolhBPg+jOw924Qeg0nkasidHa3W4HC1BkqZFLdmxYldjlPJZVLcd/VwAOb+KgYjf5Y8gc1hpKCgABkZGdZtuatWrUJGRgYee+wxAEBdXZ01mADAv//9bxgMBqxYsQLR0dHWrwcffNBOb4Fc0Yk6Ldp1BgSo5EiP5jQbAIyODkSYvwqdPUYUVLSIXQ65sbd7R0Xmj4tCqBducb15UixC/ZSoae3C9t7dROTebO4zcs0111zywK/XX3+9z3/v3LnT1pcgD2CZoslMGuZR52RcCalUgqtHhGFrUQ12n2rCNC87wZjsQ9Olx8eHawDAY5ucXY5aIcNd05LwXN4pvLz7LBaMj/b6dWnujmfTkEP8cPEqfe9qbvGlK7T1UDW69SakRQYgq3dRtDf6+ZREqBVSHKvRWpsrkvtiGCG7EwQB350zhxFv7y/yYzNGmEdDSuq0aGzTiVwNuRtBELCpdzvvHVMSvHo0IMRPiZ9lmntQsUW8+2MYIbsra+pAc0cPlHIpxsUFiV2OSwnzV2FsrHkNTT63+JKN9pe14ExDO3yVMtyU4Vmn8w7FspxkSCTAztJGlNa3iV0OXQGGEbI7yxRNRnywR54geqWuHsGpGhqadw6aR0VunBiLALVC5GrElxjqh+vGRAEAXsnn6Ig7Yxghu/uO/UUuybLFN/90E0ymgReDE/1Qa2cPvjxu3jmyeHKCyNW4jl9enQIA+Li4Bue13SJXQ0PFMEJ2d4Bh5JImJQ6Dv0qO5o4eHK/lIZA0OB8X16LHYMKoqADrVB8BGQnDcFXSMOiNAl5ni3i3xTBCdlXb2oWa1i7IpBJMSvDelf6XopBJracY7+a6ERqk9wrM3UYXXRXv1QtX+3Nvjnl05O39FWhni3i3xDBCdmXZRTMmJhB+Kpvb2HgNyxbfXVw3QoNwrEaD47VaKGVSLJzIhas/Nic9EinhfmjrNmALW8S7JYYRsivrFA37i1zSzN5FrIcqLqCtm0eh06VZRkXmjonEMD+lyNW4HqlUgqUzzCcXv/YtW8S7I4YRsivL4tWruF7kkhJCfZEU6guDScC+s2zYRAPr1hvxUZG54+qirHiRq3Fdt0yKQ4ifEtUXuvDl8fNil0M2Yhghu2np6MHphnYA7Lw6GNZurFw3Qpfw5fF6aLsNiA32wYxUHiEwELVCZm2P/0p+2SWPLSHXwzBCdlPQu14kNcIfIRxKvqyZP1g3wn84aSCWKZr/yYyDlOc8XdKdUxKhlEtRXNVqPTWc3APDCNlNYaX5h/+qJO6iGYwpKaFQyCSoaunCueZOscshF1TV0olvzzRDIjGHEbq08AAVbupd4PtqfrnI1ZAtGEbIbg71/ibCLb2D46eSIyvRPJ3FbqzUn/cLqwEA04eHIT7EV+Rq3MPSHPNC1i9L6lHR3CFyNTRYDCNkFz0GEw5XawAAmV58kqiteIovDcRoEvBB7xTNrVdx4epgjYwMwMyR4RAEYOMejo64C4YRsotjtRr0GEwI8VMiOcxP7HLcxtUjzQsS95U1o8fA7Yj0vf1lzajVdCNQLUfu6Eixy3ErliZo7xVUQ9PJrfPugGGE7OKHUzTsDjl46VGBCPNXobPHiIKKFrHLIRey9ZB5O+9PJsRAreCBk7aYnhqKUVEB6NIbselghdjl0CAwjJBdWFauc4rGNlKpxDo6svtUk8jVkKvo6jHii2N1AICbM9hx1VYSicQ6OvLG3nMcdXQDDCN0xQRBQEFvGMniThqbzWRrePqRHSX16OgxIj7EhwF/iBZMiEFEgArntTr853Ct2OXQZTCM0BWrvtCFxjYdFDIJxsUGiV2O25mRGgaJBDhRp0VDG49AJ2Bbb8fVmybGctpziJRyKe6algQAeHVPOXv5uDiGEbpilimaMTFBnNseglB/FcbGmENcPqdqvF5jmw75p81/D26axN4iV+KO7AT4KGQ4UafFXh674NIYRuiKWRZecjh56KzrRtga3uv953AtjCYBE+ODuTPtCgX7KnFrljnQvZJfJnI1dCkMI3TFCitaAQBZDCNDdnXvKb75p5tgMnE42ZtZp2i4cNUu7pmeDIkE2FnaiNPn28QuhwbAMEJXpK1bj9J6LQBgEsPIkE1KHAZ/lRwtHT04XqsVuxwSyZmGNhyt0UAulWDBhBixy/EISWF+1j4tG9gEzWUxjNAVOVylgUkA4ob5IDJQLXY5bkshk2La8FAAwK5TDSJXQ2Kx9Ba5Ji2ch03akWWb79aiGjS26USuhvrDMEJXxLJehFM0V+771vBcxOqNTCYBHxebt6DelMGFq/aUmTgME+KD0WMw4a39bILmihhG6Iqw2Zn9WPqNHKq8gLZutrD2NgfPtaCmtQsBKjmuTY8QuxyPYm6CZj5A7+39FejWG0WuiH6MYYSGzGgSUFzZCoDrRewhPsQXyWF+MJgEbkP0Qtt6p2iuHxfNLfIOcN2YKMQG+6Clo8c6HUaug2GEhuzU+Ta06QzwU8qQFhkgdjke4eoRltbw3OLrTbr1Rmw/am7/ftMk7qJxBLlMil/MMI+OvLqnjLvWXAzDCA2ZZYomI2EY5DL+VbIH67qR043sGOlF/nviPNp0BsQG+2ByUojY5XisW7PiEKCSo6yxA9+UcqG4K+EnCA2Z9aReTtHYzZSUUChlUlS1dOFcc6fY5ZCTWKZoFmbEQCpl+3dHCVArcHt2AgDg1Xxu83UlDCM0ZAVcvGp3fiq59bDBXfzNzSs0t+ushySy0Znj3T0tCXKpBPvKmnGsRiN2OdTL5jCye/duLFiwADExMZBIJPjoo48u+5xdu3YhMzMTarUaKSkpeOmll4ZSK7mQhrZuVLZ0QiIBMhKCxS7Ho3w/VcMtvt7g0yN1MJgEjIsNQmoE1145WkywD24YHw0AeJUt4l2GzWGko6MDEyZMwAsvvDCo68vLy3H99dcjJycHRUVF+MMf/oAHHngAH374oc3Fkus41NsCPi0yAIFqhbjFeBhLa/h9Z5uhM3ALoqfbyvbvTrdshrkJ2qdH6lCn6RK5GgIAua1PmD9/PubPnz/o61966SUkJCRg7dq1AID09HQUFBTgH//4B2655RZbX55cxKFKrhdxlPToAIQHqNDYpkPhuQuYlhomdknkIGcb23G4qhUytn93qnFxQchODsGB8ha8vvccVs9PF7skr+fwNSP79u1Dbm5un8fmzZuHgoIC6PVs7OSuCs6x86qjSCQS5PRu8d3FU3w92se9oyI5I8IQHqASuRrvYmkR/86BSrTrDCJXQw4PI/X19YiMjOzzWGRkJAwGA5qa+p8T1+l00Gq1fb7IdXTrjThWY/4z4eJVx5jJ1vAeTxAEbCvmFI1YZo+KQEqYH9q6DXjvuyqxy/F6TtlNI5H03apm6Z/w48ct1qxZg6CgIOtXfHy8w2ukwTteq0GP0YQwfyUSQnzFLscjzUgNg0QCnKjTokHbLXY55AAFFRdQ1dIFf5UcuaOjxC7H60ilEmsTtI3flsPIJmiicngYiYqKQn19fZ/HGhoaIJfLERoa2u9zVq9eDY1GY/2qqmJqdSUF53rXiyQMGzBQ0pUJ9VdhXGwQAO6q8VSWluTXjY2Cj5Lt38Vwy6Q4DPNVoPpCF748Xn/5J5DDODyMTJ06FXl5eX0e27FjB7KysqBQ9L8LQ6VSITAwsM8XuQ5L51VLPwxyDMuuGraG9zzdeiM+O2I5oZdTNGLxUcpw55REAMAr3OYrKpvDSHt7O4qLi1FcXAzAvHW3uLgYlZWVAMyjGkuWLLFev3z5clRUVGDVqlU4ceIENm7ciA0bNuDhhx+2zzsgpxIEwbqThutFHMvSb2TPmSaeo+FhdpY2QNttQFSgGlNS+h8hJuf4+dREKGVSFFW2Wn/RIuezOYwUFBQgIyMDGRkZAIBVq1YhIyMDjz32GACgrq7OGkwAIDk5Gdu3b8fOnTsxceJEPP3003j++ee5rddNVTR3oqm9B0qZFGNigsQux6NlJATDXyVHS0cPjtWyU6QnsUzR3JgRAxnbv4sqIkCNhRnmbdVsgiYem/uMXHPNNZc8wOv111+/6LGZM2fi0KFDtr4UuSDLbw7j4oJ4zLmDKWRSTBseih0l57H7VCPGxwWLXRLZwYWOHushbTdnxIlcDQHAspwUvFdQjS+P16OyuRMJoVyY72w8m4ZsUsgpGqeamWaeqtnFdSMe49OjddAbBaRHByItiu3fXcHIyADMHBkOk2DeWUPOxzBCNrGe1JvAMOIMlkWshypboe1mk0BPsO1QNQDgZi5cdSnLcszbfN8rqIKmkz9rzsYwQoOm6dKj9HwbAI6MOEt8iC9SwvxgNAnYe6ZZ7HLoClU0d+BQZSukEuDGiWz/7kpmpIZhVFQAOnuMeOdg5eWfQHbFMEKDVlzVCkEAEkN92braib4/xZdTNe5uW2/79+mpYYgIVItcDf2QRCLBst4W8a/vLechlU7GMEKDZlm8mskpGqe6eqT5nJrdpxovuXicXJsgCNYwwt4irmnBhGhEB6lxXqvD+wXVYpfjVRhGaNAKK8yH4/GkXueakhIKpUyK6gtdKG/qELscGqJDla2oaO6Ej0KGeWPY/t0VqeQy3He1eXRk/c6z0BtNIlfkPRhGaFAMRhOKK1sBsPOqs/kq5dZ7zm6s7mtbkfk37evGRsFPZXNXBXKS2yYnIMxfhZrWLmzr7QdDjscwQoNSer4NHT1GBKjkGBHB7YjOZjnFl1t83VOPwYRPj9QB4BSNq1Mrvh8deXHnGRg4OuIUDCM0KJb1IhMTgtkxUgSWRaz7y1q4sM4N7SxtQGunHuEBKkwbzvbvru6OKQkI8VOiorkT/+k9Q4gci2GEBsV6OF5iiMiVeKdRUQGICFChS2+0nppM7sOycPXGCTGQy/jPrqvzVcqxdIa578gLX5+BkWdDORx/KmhQrDtpuHhVFBKJxDo68s3JBpGrIVtoOvX46oT5z+ymSZyicRdLpiYiyEeBs40d+PxYndjleDyGEbqs89puVF/oglQCTIjn4XhiuXZUBADgK4YRt/Lp0Vr0GE0YFRWA0dGBYpdDgxSgVuCe6UkAzKMjPDnbsRhG6LIsoyJpUYEIUCtErsZ75YwMh0ImQXlTB8oa28UuhwbJsiPjpoxYSCRcb+VO7pmWDH+VHCfr27Cj5LzY5Xg0hhG6rO/Xi3CKRkz+KjmmpJgXP1qG/cm1VTR3oKDiAqQSYCF30bidIF8F7p6WBAD4v7xTXDviQAwjdFlcL+I6Zlunavhbmjv4Yfv3SLZ/d0v35qQgQC1H6fk2fMqdNQ7DMEKX1K034nitBgDDiCu4dlQkAOC7cxeg6eLJoq6M7d89Q5CvAstnDgcAPJd3il1ZHYRhhC7pSLUGeqOA8AAV4ob5iF2O10sI9cWICH8YTQIboLk4S/t3XyXbv7u7u6clIczf3Hfkg0KeWeMIDCN0ST9cL8LFd67h2nTz6MjXJzhV48q2Hupt/z6G7d/dnZ9Kjl9fkwoAeP6r0+jWs/GgvTGM0CVZDsfjFI3ruDbdvG7km9JGtqp2UTqD8fv27+wt4hEWZycgOkiNOk03Nh2oFLscj8MwQgMSBIGLV13QpIRhCPZVQNOlx6HewwvJtXxzsgGaLj0iA1WYNjxM7HLIDtQKGR64dgQAYN03Z9DWzTVb9sQwQgMqb+rAhU49lHIpxsSw2ZmrkEklmJXWu6uGUzUuaWtvb5GFE2N5lpMH+Z/MOCSH+aG5owcv7TordjkehWGEBlTQOyoyIS4ISjn/qrgSy1QNu7G6ngsdPfim1PzncvOkOJGrIXtSyKR4ZP4oAMCr+eWobe0SuSLPwU8YGtCh3jAyiVM0LufqkeGQSyU409COiuYOscuhH/j0SC30RgGjowORFhUgdjlkZ7mjIzE5OQQ6gwl//7JU7HI8BsMIDYgn9bquQLUCk5PNfy7sxupatvb2FrmZC1c9kkQiwf+7IR2AuandkepWcQvyEAwj1K/Wzh6cbjCffzIpIVjcYqhf7MbqesqbOlBU2QqpBPjpxBixyyEHGR8XbG1k96fPTkAQ2Cb+SjGMUL+KendpJIf5IdRfJW4x1K85vf1GDpS1QNPJlf2uYFtvb5GcEeGICGD7d0/223lpUMmlOFjewkP07IBhhPrFLb2uLynMDyMj/WEwCfi6lP8Yis1kErCtmFM03iIm2AfLcpIBAH/6rISN0K4Qwwj1q4DNztyCpc34l8cYRsR2oLwFVS1d8FfJkTua7d+9wa+vSUV0kBpVLV1Yt5Nbfa8EwwhdRG804XAVD8dzB5YwsvNUA7p6+JuZmN4vrAIALJgQDR+lTORqyBn8VHL88SejAQAv7TqLc03c2TZUDCN0kZN1bejSGxGoliM13F/scugSxsQEIjbYB916E3af5sF5Ymnr1uPzo/UAgP/JjBe5GnKm+WOjkDMiDD0GEx7/5DgXsw4RwwhdxHIezaTEYZCye6RLk0gk30/VHK8XuRrv9dmROnTpjUgJ9+PuMy8jkUjw1I1joZRJsetUI38Oh4hhhC5i6byamcApGncwb4x5V81XJxqg58F5oni/91j5n2XG83RrL5Qc5of7ZqYAAJ74pARanltjM4YRuoil82pmEsOIO8hKCkGonxKaLj0OlLWIXY7XOdvYjsKKC5BJJbiFu2i81opZqUgK9UW9tht//vSE2OW4nSGFkXXr1iE5ORlqtRqZmZnIz8+/5PWbNm3ChAkT4Ovri+joaNxzzz1obm4eUsHkWLWtXajVdEMmlWBCXLDY5dAgyKQSzB1tHh3hELHzfdA7KjJzZDgiAtlbxFupFTL87X8mQCIBthRUYfcpruGyhc1hZMuWLVi5ciUeffRRFBUVIScnB/Pnz0dlZWW/1+/ZswdLlizB0qVLcfz4cbz//vv47rvvsGzZsisunuzP0l8kPToAfiq5yNXQYFnWjewoqYfJxAV0zmIwmrD1kGWKhofiebvJySG4a2oSAGD11qNo1xnELciN2BxGnnvuOSxduhTLli1Deno61q5di/j4eKxfv77f6/fv34+kpCQ88MADSE5OxowZM3DfffehoKDgiosn+yvkehG3NC01FP4qOc5rdSjmWRlOk3+6Cee1OgzzVeDa3o645N1+d10a4kN8UNPahWe2c7pmsGwKIz09PSgsLERubm6fx3Nzc7F3795+nzNt2jRUV1dj+/btEAQB58+fxwcffIAbbrhhwNfR6XTQarV9vsg5DlVa1ovwcDx3opLLcE1aOABO1TiTpbfIjRNjoZRzCR4Bvko5/nrLeADAOwcq8dUJNiQcDJt+epqammA0GhEZ2fc3gMjISNTX9/8P4LRp07Bp0yYsWrQISqUSUVFRCA4Oxr/+9a8BX2fNmjUICgqyfsXHc9++M3T2GHC81hz82OzM/XzfjbWevQ6c4EJHD/5bYj4x+dYs/htF35s2PAz3TE8CAPz2gyNo0HaLW5AbGFKU//HWNUEQBtzOVlJSggceeACPPfYYCgsL8cUXX6C8vBzLly8f8PuvXr0aGo3G+lVVVTWUMslGh6s0MJoERAWqERPEhXjuZtaoCCjlUpxr7kRJHUcTHe3j4hr0GE0YExOI0TGBYpdDLuaR+aMwOjoQLR09WPXeYa7lugybwkhYWBhkMtlFoyANDQ0XjZZYrFmzBtOnT8dvf/tbjB8/HvPmzcO6deuwceNG1NXV9fsclUqFwMDAPl/keN9P0QxjrwQ35K+SY1bvVM2nR/r/2SL7+b63CBeu0sVUchmevz0DPgoZ9pxpwku7eXbNpdgURpRKJTIzM5GXl9fn8by8PEybNq3f53R2dkIq7fsyMpn53AYOJbuWgnO9h+Nx8arb+sn4GADAp0dq+fPlQEeqW3G8VgulTIobJ7K3CPUvNcIfT/50DADgH1+WIp9HNgzI5mmaVatW4dVXX8XGjRtx4sQJPPTQQ6isrLROu6xevRpLliyxXr9gwQJs3boV69evR1lZGb799ls88MADmDx5MmJiYuz3TuiKmEwCDlW2AuB6EXd2bXoEfBQyVLV04WiNRuxyPNbmg+ZWBvPHRWGYn1LkasiV/SwrDrdmxcEkAP+7uQhVLZ1il+SSbA4jixYtwtq1a/HUU09h4sSJ2L17N7Zv347ExEQAQF1dXZ+eI3fffTeee+45vPDCCxg7dix+9rOfIS0tDVu3brXfu6ArVtbUDk2XHmqFlPPfbsxXKcfs9AgAnKpxlHadAR8X1wIAFk9OELkacnWWs2smxAejtVOPe98sQGcP+4/8mERwg7FcrVaLoKAgaDQarh9xkHcPVuKRrUeRnRyCLfdNFbscugJfHKvD8rcPITbYB3t+P4vrf+xs04EKPLrtGFLC/fDVqpm8vzQodZouLPjXHjS192BOegRe+nkm5DLP3w4+2M9vz78TNCjWZmeconF716RFwE8pQ01rl3XqjezHMkWzeHICgwgNWnSQD176eSZUcin+e6IBf/z4GNd1/QDDCAEACnt30mTxcDy3p1bIrGfVfHqkVuRqPMvRag2O1ZgXrt4yibtoyDZZSSH4520ZkEiAzQer8PxXZ8QuyWUwjBBaOnpQ1tgBAMiIZxjxBJZdNduP1rG/gR29w4WrdIWuGxuFp3p32Pzff0/hpV3c8gswjBCAQ71TNMPD/fgPrIfIGRmGALX5rJrverds05Vp1xnwSXENAOB2LlylK3Dn1CQ8NGckAOAvn5/Ei99whIRhhPBdhfnD6iqeR+MxVHKZtT38fzhVYxefFNeio8eIlHA/ZCfzZ4WuzINzRmDVXHMg+fuXpXhuR6lXryFhGCF8V24OI1kMIx7lpxMsDdDq0GMwiVyN++PCVbK3B64dgd/OSwMAPP/1GTz8/hGv/VllGPFy3XqjtTnWVVy86lGmp4YhIkCF1k49viltELsct1ZUeQFHazRQyqW4mQtXyY5WzErFn28aC5lUgg8PVePODQfQ0Ob8g/XqNF1Of80fYhjxcoerWqE3CogIUCEhxFfscsiOZFIJFmaYW5VvO1QjcjXu7c19FQCABeNjEMJ1VWRnd2QnYuPdV8FfJceB8hZc/8892HO6ySmv3dljwB8/OoZr/r4Tp8+3OeU1+8Mw4uUsixuvSgrh0LMHuqk3jHx18jxaO3tErsY9Nbbp8FlvN9u7piWKXA15qpkjw/HRiukYFRWApnYd7tx4AH/86Bi03XqHvWZeyXnMfW433tpfAZ3BhN1OCkD9YRjxct+dY38RT5YeHYj06EDojQLbww/Rlu8q0WM0YWJ8MMbHBYtdDnmw1Ah/fLRiOhZnJ0AQgLf2V2DOs7vwXkEVDEb7rSU5VqPBPa8dxL1vFqCmtQuxwT54e2k2ls5Itttr2IphxIsZTYJ1Wy930niumy1TNUWcqrGVwWjC2/vNC1fvnpYkbjHkFdQKGZ65aRzeuTcbyWF+aGjT4XcfHMGc53bh3YOV6NAN7Vwbk0lA/ulGLHujAD/51x58U9oIuVSCX10zHHmrrsaMEWF2fie2kYv66iSqk/VatOkM8FfJkR7NM3881Y0TY7Dm8xMorLiAc00dSArzE7skt5FXch712m6E+Ssxf1yU2OWQF5k2PAyfP5iDN/edw0u7ynCuuROPbD2Kpz8twfxx0ZiVFoHpqaEI9h14DVNXjxFFVRfwzckGfHG8HlUt5kWqEgmwcGIsHrh2BJJd5N8DhhEvVtA7RTMpcRhkUq4X8VQRgWpMTw1D/ukmbCuqwUO9vQ3o8t7Ydw6AucmZSi4TtxjyOmqFDL+8ejjuyE7EpgMV2HywCuVNHfigsBofFFYDAKIC1Rge4YdgXyV8FTLoDCa0dulR3dKJ8uYO/LB1SYBKjpsnxeLOqUlIjfAX6V31j2HEix20LF7l4Xge75ZJccg/3YQPD1XjwWtHQMrweVml9W3YX9YCmVSCxdnsuEri8VPJ8curh+PenBQcLG/BjpLz2H2qEacb2lGv7Ua9duCtwBEBKuSMCMfsURGYNSocvkrX/Nh3zarI4QRBQME5NjvzFteNjULAx3JUX+jCt2ebkDMiXOySXN7re88BAOaNiUR0kI+4xRABkEgkyE4JRXZKKABA06nHmcZ2nGvqQFu3Hp16I5QyKYJ9lYgMVGFUVCDCA1QiVz04DCNeqvpCF85rdVDIJJgYHyx2OeRgaoUMN2XE4s19FXj3YBXDyGU0teuw9ZB5GPye6eLtMCC6lCBfBTIThyHTA0a3uZvGSx3sbQE/NjYIPkrOhXuD264yTzXsKKlHc7tO5Gpc21v7zH0XJsQHI8sD/qEncnUMI16qgIfjeZ3RMYGYEBcEvVHAVnZkHVC33oi39ps7rt6bk8xmgEROwDDipSzNzhhGvMui3tGRzd9VevUJoZfy4aFqtHT0IG6YD64bw+28RM7AMOKFWjp6cKahHQA8Yq6RBu+nE2Pgq5ShrLEDBb0N7+h7JpOADfnlAIBfTE+GXMZ/IomcgT9pXsiyiyY1wp+HfnkZf5UcC8bHAAA2H6wUuRrX8/XJBpQ1dSBALcetV8WLXQ6R12AY8UIFbAHv1RZNNn/IfnakDhc6eHjeD72cXwYAWJydAH8VNxsSOQvDiBey7KS5iofjeaWM+GCMjQ2EzmDCu99ViV2OyyiuasXB8hbIpRLcM43beYmciWHEy3T1GHGsRgOAIyPeSiKR4O7eD9u39p2z62mg7uyFr88AAG6cGIuoILXI1RB5F4YRL1Nc1QqDSUBUoBpxw9hV0lv9ZHw0QvyUqNV0I6/kvNjliK6kVov/njgPiQT49azhYpdD5HUYRrzMd9YW8MPYP8GLqRUyLJ5s3uZraXvuzV7caR4VuWFcNIaHu9YBYkTegGHEy1jCCKdo6I4pCZBJJThQ3oITdVqxyxHNmYZ2bD9aBwBYMStV5GqIvBPDiBfRG00o7N1JMzmZYcTbRQf54Lqx5qZeb3jx6Mi6nWcgCMDc0ZFIjw4Uuxwir8Qw4kWO1mjQ2WNEsK8CaZEBYpdDLuDuaUkAgG1FNV55Xk1VSyc+Lq4FANzPUREi0TCMeJEDZd9P0UilXC9CQFbiMIyPC4LOYPLK0ZF/fnUaRpOAnBFhmMDTq4lEwzDiRQ6UNwMApqSEilwJuQqJRIJfzTTvHnljXwXadQaRK3KeMw1t2HqoGgDwm9w0kash8m4MI17CYDShoPdwvGyuF6EfyB0ThZQwP2i69HjXi1rE/1/eaZh614pM5KgIkaiGFEbWrVuH5ORkqNVqZGZmIj8//5LX63Q6PProo0hMTIRKpcLw4cOxcePGIRVMQ1NSp0W7zoAAtZyL9KgPmVSC+2amAABeyS+DzmAUuSLHO1ajwWdH6yCRAL/JHSl2OURez+YwsmXLFqxcuRKPPvooioqKkJOTg/nz56OycuDfqG699VZ89dVX2LBhA0pLS7F582aMGjXqigon21jWi0xOCoGM60XoRxZmxCIyUIXzWh0+LqoVuxyHe3ZHKQDgxgkxGBXFcE4kNpvDyHPPPYelS5di2bJlSE9Px9q1axEfH4/169f3e/0XX3yBXbt2Yfv27ZgzZw6SkpIwefJkTJs27YqLp8GzrBfJTuEUDV1MJZdh6Qxzi/h1O894dIv4gnMt+Ka0ETKpBCvncFSEyBXYFEZ6enpQWFiI3NzcPo/n5uZi7969/T7nk08+QVZWFv72t78hNjYWI0eOxMMPP4yurq4BX0en00Gr1fb5oqEzmgTr4XjZyVy8Sv27IzsRIX5KnGvuxNZDNWKX4xCCIOBPn50AANyaFYekMD+RKyIiwMYw0tTUBKPRiMjIyD6PR0ZGor6+vt/nlJWVYc+ePTh27Bi2bduGtWvX4oMPPsCKFSsGfJ01a9YgKCjI+hUfH29LmfQjJ+q00HYb4K+SY0wMh6Spf34quXVnzT+/Oo0eg+eNjnxyuBbFVa3wVcrwEEdFiFzGkBaw/vhME0EQBjznxGQyQSKRYNOmTZg8eTKuv/56PPfcc3j99dcHHB1ZvXo1NBqN9auqisecX4kDvaMimYnDIJdxAxUN7OdTEhEeoEJNaxe2FHjWz11XjxF//fwkAODX1wxHRCBP5iVyFTZ9MoWFhUEmk100CtLQ0HDRaIlFdHQ0YmNjERQUZH0sPT0dgiCgurq63+eoVCoEBgb2+aKhO1DG9SI0OD5KGVZcYx4deeHr0+jWe87Omlfzy1Cr6UZssA+W5aSIXQ4R/YBNYUSpVCIzMxN5eXl9Hs/LyxtwQer06dNRW1uL9vZ262OnTp2CVCpFXFzcEEomW5hMAg6e43oRGrzbsxMQE6TGea0Ob+2rELscu6jXdGPdzrMAgN/PHwW1QiZyRUT0QzaP2a9atQqvvvoqNm7ciBMnTuChhx5CZWUlli9fDsA8xbJkyRLr9YsXL0ZoaCjuuecelJSUYPfu3fjtb3+LX/ziF/Dx8bHfO6F+nWpoQ2unHj4KGcbHBV3+CeT1VHKZdZfJ81+f9ogza5769Di69EZkJg7DgvHRYpdDRD9icxhZtGgR1q5di6eeegoTJ07E7t27sX37diQmJgIA6urq+vQc8ff3R15eHlpbW5GVlYU77rgDCxYswPPPP2+/d0EDsvQXyUoaBgXXi9Ag3ZIZh9HRgWjrNmDtf0+LXc4V+eZkA7YfrYdMKsHTN44dcH0bEYlHIgiCIHYRl6PVahEUFASNRsP1Izb69aZCbD9aj4dzR+L+2SPELofcyL6zzbj9lf2QSoDPH7waaVHud9JzV48Rc/9vF6ovdOHenGQ8esNosUsi8iqD/fzmr8oeTBB+0F+Eh+ORjaYOD8V1Y6JgEoA/fVYCN/i95SL/+vo0qi90ISZIzQZnRC6MYcSDnW1sR1N7D1RyKdeL0JCsvn4UlDIp8k834Ytj/fcSclVHqzV4eXcZAOCJn46Bn0ouckVENBCGEQ+276x5S29m4jCo5Nw9QLZLDPWzHqL3+CfHoenSi1zR4HTrjVj1XjEMJgE3jItG7pgosUsioktgGPFg354xh5HpqWEiV0LubMWsVCSH+aGhTYe/fnFS7HIG5dkdpTjd0I7wABWeXjhW7HKI6DIYRjyUySRgX2+zs6nDuV6Ehk6tkOGZm8YBAN45UGltoueqDpQ149U95QCAv94yDiF+SpErIqLLYRjxUCV1Wmi69PBXyTE+lutF6MpMHR6KRVnmM6JWvXcY2m7XnK5pbtfhwXeLIQjAoqx4zB7Vf2doInItDCMeyrJeZHJyCM+jIbv4fz9JR3yID2pau/D4x8fFLuciJpOAh947jHptN1LC/fDHBdzGS+Qu+CnlofaebQIATOMUDdlJgFqBtYsmQioBthXV4OPiGrFL6uOFb85g96lGqBVSrL8jE/7cPUPkNhhGPJDeaLL2F+F6EbKnzMQQa/O81VuPorS+TeSKzL44Vofn8k4BAP60cJxbNmgj8mYMIx7oSHUrOnqMGOarQHoUO9aSfT0wOxXTU0PR2WPEL98qgKZT3PUjR6pbsXJLMQBgydRE/E8mD+AkcjcMIx5o75nvd9FIpTyHg+xLLpPihdsnIW6YDyqaO3H/5kPQG02i1FLV0ollbxSgW2/C1SPD8dhPuE6EyB0xjHigvWctYYT9Rcgxhvkp8fKdWVArzN1ZH37/MEwm57aLr9N04fZX9qOhTYeRkf54YXEGF2sTuSn+5HqYbr0RhZUXAHDxKjnW6JhArP95JuRSCT4ursWT/znutPNrzmu7cccrB1B9oQuJob54a2k2AtUKp7w2Edkfw4iHOVRxAT0GEyIDVUgJ8xO7HPJws9Ii8OytEyCRAG/sq8D/++gYjA4eITnb2I6b1+1FWVMHYoN98M69UxAZqHboaxKRYzGMeJhvrVt6wyCRcL0IOd6NE2PxzE3jIJEAmw5U4oF3i6AzGB3yWgXnWvA/6/eiprULSaG+ePeXUxAb7OOQ1yIi52EY8TDfrxfhFA05z+2TE/DC7ZOgkEnw2ZE6LPr3ftS2dtnt+wuCgJd3n8VtL+/HhU49JsQF4cNfTUN8iK/dXoOIxMMw4kHauvU4Uq0BwPUi5Hw3jI/Ga3dPRpCPAsVVrbjh+Xx8XFxzxetIqlo6cc/r3+GZ7SdhMAn4yfhovHPvFIT6q+xUORGJjWHEgxwsb4HRJCAhxBdxw/gbIznfjBFh+PR/Z2BcbBAudOrx4LvFuOu173CsRmPz99J06fFc3inM/b9d2FnaCKVcij8tHIt/3Z4BP3ZXJfIo/In2IPmnzetFZozgll4ST3yILz781TS8tOssXvja3KJ996lGXJMWjtuuisc1aRFQK2T9PtdkEnCsVoMPC6ux9VAN2nQGAEB2cgj+fNNYpEawsyqRJ2IY8SD5pxsBAFczjJDIlHIpHrh2BBZMiMHa/57CJ4drsbO00TzCIZNifFwQhof7IzxABanEPApS2dKJ4qpWXPhBR9eRkf548NqRuH5cFBdkE3kwhhEPUdPahbONHZBK2OyMXEdymB/+eVsGVs4ZifcKqvBxUQ1qNd0oqLiAgooL/T7HVynD7FER+FlWPHJSw9hFmMgLMIx4iD29oyIT44MR5MPmT+RaksP88PvrRuF389JQ0dyJoqoLqGrpQlO7DgDgq5QjPsQHo6ICMT4uCAp2UiXyKgwjHmJ373qRnBHhIldCNDCJRIKkMD8ksSEfEf0Af/3wAEaTgG/PmMPI1SM5RUNERO6FYcQDHKvRoLVTjwCVHBPigsUuh4iIyCYMIx7AsotmWmooTy0lIiK3w08uD8D1IkRE5M4YRtxcu86AQ71bJK9mGCEiIjfEMOLm9p9thsEkIDHUFwmhbAFPRETuh2HEzVnWi+Sw6yoREbkphhE3l8/1IkRE5OYYRtxYVUsnypo6IJNKMHV4qNjlEBERDQnDiBuzjIpMjA9GoJot4ImIyD0NKYysW7cOycnJUKvVyMzMRH5+/qCe9+2330Iul2PixIlDeVn6ka9PNgAArhnJKRoiInJfNoeRLVu2YOXKlXj00UdRVFSEnJwczJ8/H5WVlZd8nkajwZIlS3DttdcOuVj6ns5gtLaAnzUqQuRqiIiIhs7mMPLcc89h6dKlWLZsGdLT07F27VrEx8dj/fr1l3zefffdh8WLF2Pq1KlDLpa+d7C8BV16IyICVBgTEyh2OURERENmUxjp6elBYWEhcnNz+zyem5uLvXv3Dvi81157DWfPnsXjjz8+qNfR6XTQarV9vqivb06at/RekxYOiUQicjVERERDZ1MYaWpqgtFoRGRkZJ/HIyMjUV9f3+9zTp8+jUceeQSbNm2CXC4f1OusWbMGQUFB1q/4+HhbyvQK35Sa14vM5hQNERG5uSEtYP3xb+KCIPT727nRaMTixYvx5JNPYuTIkYP+/qtXr4ZGo7F+VVVVDaVMj1Xe1IHypg7IpRJMT2WzMyIicm+DG6roFRYWBplMdtEoSENDw0WjJQDQ1taGgoICFBUV4f777wcAmEwmCIIAuVyOHTt2YPbs2Rc9T6VSQaVS2VKaV9nZOypyVVIIArill4iI3JxNIyNKpRKZmZnIy8vr83heXh6mTZt20fWBgYE4evQoiouLrV/Lly9HWloaiouLkZ2dfWXVeynLll5O0RARkSewaWQEAFatWoU777wTWVlZmDp1Kl5++WVUVlZi+fLlAMxTLDU1NXjzzTchlUoxduzYPs+PiIiAWq2+6HEanM4eAw6UtQAAZo1ifxEiInJ/NoeRRYsWobm5GU899RTq6uowduxYbN++HYmJiQCAurq6y/YcoaHbe6YZPUYT4ob5YHi4v9jlEBERXTGJIAiC2EVcjlarRVBQEDQaDQIDvbunxh+2HcU7ByqxZGoinrqRo0tEROS6Bvv5zbNp3IggCNjZu15kVhrXixARkWdgGHEjx2u1qNV0Q62QYkoKT+klIiLPwDDiRvJKzgMArh4RDh+lTORqiIiI7INhxI1Ywsjc0Rf3dCEiInJXDCNuoqqlEyV1WkglwLXpDCNEROQ5GEbcxH9PmEdFspJCEOKnFLkaIiIi+2EYcROWKZpcTtEQEZGHYRhxA5pOPQ6Um7uucr0IERF5GoYRN/B16XkYTQLSIgOQGOondjlERER2xTDiBriLhoiIPBnDiIvr1huxq7QRAMMIERF5JoYRF7fvbDM6eoyIDFRhXGyQ2OUQERHZHcOIi9tRUg8AmJMeCalUInI1RERE9scw4sIMRhO+PG5eLzJ/bLTI1RARETkGw4gL21/WgpaOHoT4KTElJUTscoiIiByCYcSFfXa0DgAwb0wk5DL+URERkWfiJ5yLMk/RmNeLXD+OUzREROS5GEZc1IFy8xTNMF8FpqSEil0OERGRwzCMuCjLFE3u6CgoOEVDREQejJ9yLshgNOHLY71TNOM5RUNERJ6NYcQFHTzXguaOHgT7KjBtOKdoiIjIszGMuKDt1imaSE7REBGRx+MnnYvRG03YfpS7aIiIyHswjLiY/NONaOnoQZi/EjNSw8Quh4iIyOEYRlzMR0W1AICfjI9hozMiIvIK/LRzIR06A/JKzGfR3DgxRuRqiIiInINhxIXsKKlHl96IpFBfTIwPFrscIiIip2AYcSGWKZobJ8ZCIpGIXA0REZFzMIy4iKZ2HfacaQIALMyIFbkaIiIi52EYcRGfHq6F0SRgQlwQksP8xC6HiIjIaRhGXMS24u+naIiIiLwJw4gLOH2+DYerWiGTSrBgAnfREBGRdxlSGFm3bh2Sk5OhVquRmZmJ/Pz8Aa/dunUr5s6di/DwcAQGBmLq1Kn48ssvh1ywJ9ryXRUAYPaoCIQHqESuhoiIyLlsDiNbtmzBypUr8eijj6KoqAg5OTmYP38+Kisr+71+9+7dmDt3LrZv347CwkLMmjULCxYsQFFR0RUX7wl6DCZsLaoBACzKihe5GiIiIueTCIIg2PKE7OxsTJo0CevXr7c+lp6ejoULF2LNmjWD+h5jxozBokWL8Nhjjw3qeq1Wi6CgIGg0GgQGBtpSrsv7/GgdfrXpECICVNj7yGx2XSUiIo8x2M9vmz75enp6UFhYiNzc3D6P5+bmYu/evYP6HiaTCW1tbQgJCRnwGp1OB61W2+fLU20pME/R3JIZxyBCREReyaZPv6amJhiNRkRGRvZ5PDIyEvX19YP6Hs8++yw6Ojpw6623DnjNmjVrEBQUZP2Kj/fM6Ys6TRd2n2oEANzKKRoiIvJSQ/pV/MfdQQVBGFTH0M2bN+OJJ57Ali1bEBERMeB1q1evhkajsX5VVVUNpUyX92FhNUwCMDk5hL1FiIjIa8ltuTgsLAwymeyiUZCGhoaLRkt+bMuWLVi6dCnef/99zJkz55LXqlQqqFSevavEZBLwXkE1AC5cJSIi72bTyIhSqURmZiby8vL6PJ6Xl4dp06YN+LzNmzfj7rvvxjvvvIMbbrhhaJV6mPwzTahs6USASo7546LELoeIiEg0No2MAMCqVatw5513IisrC1OnTsXLL7+MyspKLF++HIB5iqWmpgZvvvkmAHMQWbJkCf75z39iypQp1lEVHx8fBAUF2fGtuJe39p0DYF646qu0+Y+BiIjIY9j8Kbho0SI0NzfjqaeeQl1dHcaOHYvt27cjMTERAFBXV9en58i///1vGAwGrFixAitWrLA+ftddd+H111+/8nfghqpaOvHVyQYAwJ1TE0WuhoiISFw29xkRg6f1GVnz+Qn8e1cZZqSG4e1l2WKXQ0RE5BAO6TNCV65bb8R7ve3fl3BUhIiIiGHE2T49UocLnXrEBvvg2vRL70AiIiLyBgwjTiQIAl7fWw4AWJydAJn08r1ZiIiIPB3DiBPtO9uMYzVaqBVS3D45QexyiIiIXALDiBO9nF8GAPhZZjxC/JQiV0NEROQaGEacpLS+DTtLGyGVAMtyksUuh4iIyGUwjDjJy7vNoyLXjY1CYijPoSEiIrJgGHGCek03PjlcAwC4NydF5GqIiIhcC8OIE7yaXwa9UcDkpBBkJAwTuxwiIiKXwjDiYA1t3Xj7QAUA4NezhotcDRERkethGHGwl3aWoVtvQkZCMGaODBe7HCIiIpfDMOJADdpubOodFXlozkhIJGxyRkRE9GMMIw60ftdZ6AwmTEoIRs6IMLHLISIickkMIw5Sr+nGOwcqAQAPzeWoCBER0UAYRhzk2R2l0BlMuCppGGakclSEiIhoIAwjDlBSq8UHh6oBAH+4Pp2jIkRERJfAMOIAaz4/AUEAbhgfzb4iREREl8EwYmfflDYg/3QTFDIJfj9vlNjlEBERuTyGETvq1hvxxCfHAQB3TU1CQqivyBURERG5PoYRO1q/8ywqmjsRGajCyrkjxS6HiIjILTCM2El5UwfW7zwLAHjsJ2Pgr5KLXBEREZF7YBixA5NJwOqtR9BjNOHqkeG4flyU2CURERG5DYYRO3h97znsL2uBr1KGp28cw628RERENmAYuUJnGtrw1y9OAjD3FEkM9RO5IiIiIvfCMHIFuvVGPLTlMHQG8/TMHdkJYpdERETkdhhGrsCT/zmOozUaBPsq8LdbxnN6hoiIaAgYRoZoy3eV2HywChIJ8M/bMhAVpBa7JCIiIrfEMDIEBeda8MePzc3NVs0ZiZkjw0WuiIiIyH0xjNjo9Pk2LH2jAD0GE+aOjsSKWalil0REROTWGEZsUN7UgSUbD0LTpUdGQjCevy0DUinXiRAREV0JtgkdpDMNbVj8ygE0tOmQGuGPjXddBR+lTOyyiIiI3B7DyCDkn27Eik2HoO02YFRUAN5elo1hfkqxyyIiIvIIQ5qmWbduHZKTk6FWq5GZmYn8/PxLXr9r1y5kZmZCrVYjJSUFL7300pCKdTaD0YQXvzmDu1/7DtpuAzISgrH53ikI81eJXRoREZHHsDmMbNmyBStXrsSjjz6KoqIi5OTkYP78+aisrOz3+vLyclx//fXIyclBUVER/vCHP+CBBx7Ahx9+eMXFO9Khygu4Zf1e/P3LUhhNAm6eFIvN907hiAgREZGdSQRBEGx5QnZ2NiZNmoT169dbH0tPT8fChQuxZs2ai67//e9/j08++QQnTpywPrZ8+XIcPnwY+/btG9RrarVaBAUFQaPRIDAw0JZybdJjMGFnaQM2H6zEN6WNAIBAtRyPLxiDmyfFsqkZERGRDQb7+W3TmpGenh4UFhbikUce6fN4bm4u9u7d2+9z9u3bh9zc3D6PzZs3Dxs2bIBer4dCobjoOTqdDjqdrs+bcYSth6pxuKoVbd0GVF3oxNEaDbr1JgCATCrBLZNisWpuGhuaEREROZBNYaSpqQlGoxGRkZF9Ho+MjER9fX2/z6mvr+/3eoPBgKamJkRHR1/0nDVr1uDJJ5+0pbQh+aa0Ef85XNvnsYgAFRZmxOL2yQlIDuOhd0RERI42pN00P56uEAThklMY/V3f3+MWq1evxqpVq6z/rdVqER8fP5RSLyl3dCQSQ3wR6CNHmL8K4+OCkBLmz94hRERETmRTGAkLC4NMJrtoFKShoeGi0Q+LqKiofq+Xy+UIDQ3t9zkqlQoqleN3rCyYEIMFExz+MkRERHQJNu2mUSqVyMzMRF5eXp/H8/LyMG3atH6fM3Xq1Iuu37FjB7KysvpdL0JERETexeatvatWrcKrr76KjRs34sSJE3jooYdQWVmJ5cuXAzBPsSxZssR6/fLly1FRUYFVq1bhxIkT2LhxIzZs2ICHH37Yfu+CiIiI3JbNa0YWLVqE5uZmPPXUU6irq8PYsWOxfft2JCYmAgDq6ur69BxJTk7G9u3b8dBDD+HFF19ETEwMnn/+edxyyy32exdERETktmzuMyIGZ/UZISIiIvsZ7Oc3T+0lIiIiUTGMEBERkagYRoiIiEhUDCNEREQkKoYRIiIiEhXDCBEREYmKYYSIiIhExTBCREREomIYISIiIlHZ3A5eDJYmsVqtVuRKiIiIaLAsn9uXa/buFmGkra0NABAfHy9yJURERGSrtrY2BAUFDfj/3eJsGpPJhNraWgQEBEAikdjt+2q1WsTHx6Oqqopn3jgY77Vz8D47B++zc/A+O4+j7rUgCGhra0NMTAyk0oFXhrjFyIhUKkVcXJzDvn9gYCD/ojsJ77Vz8D47B++zc/A+O48j7vWlRkQsuICViIiIRMUwQkRERKLy6jCiUqnw+OOPQ6VSiV2Kx+O9dg7eZ+fgfXYO3mfnEfteu8UCViIiIvJcXj0yQkREROJjGCEiIiJRMYwQERGRqBhGiIiISFQeF0bWrVuH5ORkqNVqZGZmIj8//5LX79q1C5mZmVCr1UhJScFLL7100TUffvghRo8eDZVKhdGjR2Pbtm2OKt9t2Ps+v/LKK8jJycGwYcMwbNgwzJkzBwcPHnTkW3ALjvj7bPHuu+9CIpFg4cKFdq7aPTniXre2tmLFihWIjo6GWq1Geno6tm/f7qi34BYccZ/Xrl2LtLQ0+Pj4ID4+Hg899BC6u7sd9Rbcgi33ua6uDosXL0ZaWhqkUilWrlzZ73UO/SwUPMi7774rKBQK4ZVXXhFKSkqEBx98UPDz8xMqKir6vb6srEzw9fUVHnzwQaGkpER45ZVXBIVCIXzwwQfWa/bu3SvIZDLhmWeeEU6cOCE888wzglwuF/bv3++st+VyHHGfFy9eLLz44otCUVGRcOLECeGee+4RgoKChOrqame9LZfjiPtsce7cOSE2NlbIyckRbrzxRge/E9fniHut0+mErKws4frrrxf27NkjnDt3TsjPzxeKi4ud9bZcjiPu89tvvy2oVCph06ZNQnl5ufDll18K0dHRwsqVK531tlyOrfe5vLxceOCBB4Q33nhDmDhxovDggw9edI2jPws9KoxMnjxZWL58eZ/HRo0aJTzyyCP9Xv+73/1OGDVqVJ/H7rvvPmHKlCnW/7711luF6667rs818+bNE2677TY7Ve1+HHGff8xgMAgBAQHCG2+8ceUFuylH3WeDwSBMnz5dePXVV4W77rqLYURwzL1ev369kJKSIvT09Ni/YDfliPu8YsUKYfbs2X2uWbVqlTBjxgw7Ve1+bL3PPzRz5sx+w4ijPws9Zpqmp6cHhYWFyM3N7fN4bm4u9u7d2+9z9u3bd9H18+bNQ0FBAfR6/SWvGeh7ejpH3ecf6+zshF6vR0hIiH0KdzOOvM9PPfUUwsPDsXTpUvsX7oYcda8/+eQTTJ06FStWrEBkZCTGjh2LZ555Bkaj0TFvxMU56j7PmDEDhYWF1mndsrIybN++HTfccIMD3oXrG8p9HgxHfxa6xUF5g9HU1ASj0YjIyMg+j0dGRqK+vr7f59TX1/d7vcFgQFNTE6Kjowe8ZqDv6ekcdZ9/7JFHHkFsbCzmzJljv+LdiKPu87fffosNGzaguLjYUaW7HUfd67KyMnz99de44447sH37dpw+fRorVqyAwWDAY4895rD346ocdZ9vu+02NDY2YsaMGRAEAQaDAb/61a/wyCOPOOy9uLKh3OfBcPRnoceEEQuJRNLnvwVBuOixy13/48dt/Z7ewBH32eJvf/sbNm/ejJ07d0KtVtuhWvdlz/vc1taGn//853jllVcQFhZm/2LdnL3/TptMJkRERODll1+GTCZDZmYmamtr8fe//90rw4iFve/zzp078ec//xnr1q1DdnY2zpw5gwcffBDR0dH44x//aOfq3YcjPrcc+VnoMWEkLCwMMpnsopTW0NBwUZqziIqK6vd6uVyO0NDQS14z0Pf0dI66zxb/+Mc/8Mwzz+C///0vxo8fb9/i3Ygj7vPx48dx7tw5LFiwwPr/TSYTAEAul6O0tBTDhw+38ztxfY76Ox0dHQ2FQgGZTGa9Jj09HfX19ejp6YFSqbTzO3FtjrrPf/zjH3HnnXdi2bJlAIBx48aho6MDv/zlL/Hoo49CKvWY1QiDMpT7PBiO/iz0mD8lpVKJzMxM5OXl9Xk8Ly8P06ZN6/c5U6dOvej6HTt2ICsrCwqF4pLXDPQ9PZ2j7jMA/P3vf8fTTz+NL774AllZWfYv3o044j6PGjUKR48eRXFxsfXrpz/9KWbNmoXi4mLEx8c77P24Mkf9nZ4+fTrOnDljDXwAcOrUKURHR3tdEAEcd587OzsvChwymQyCeYOGHd+BexjKfR4Mh38W2mUZrIuwbGfasGGDUFJSIqxcuVLw8/MTzp07JwiCIDzyyCPCnXfeab3esm3soYceEkpKSoQNGzZctG3s22+/FWQymfCXv/xFOHHihPCXv/yFW3sdcJ//+te/CkqlUvjggw+Euro661dbW5vT35+rcMR9/jHupjFzxL2urKwU/P39hfvvv18oLS0VPv30UyEiIkL405/+5PT35yoccZ8ff/xxISAgQNi8ebNQVlYm7NixQxg+fLhw6623Ov39uQpb77MgCEJRUZFQVFQkZGZmCosXLxaKioqE48ePW/+/oz8LPSqMCIIgvPjii0JiYqKgVCqFSZMmCbt27bL+v7vuukuYOXNmn+t37twpZGRkCEqlUkhKShLWr19/0fd8//33hbS0NEGhUAijRo0SPvzwQ0e/DZdn7/ucmJgoALjo6/HHH3fCu3Fdjvj7/EMMI99zxL3eu3evkJ2dLahUKiElJUX485//LBgMBke/FZdm7/us1+uFJ554Qhg+fLigVquF+Ph44de//rVw4cIFJ7wb12Xrfe7v39/ExMQ+1zjys1DSWwQRERGRKDxmzQgRERG5J4YRIiIiEhXDCBEREYmKYYSIiIhExTBCREREomIYISIiIlExjBAREZGoGEaIiIhIVAwjREREJCqGESIiIhIVwwgRERGJimGEiIiIRPX/AZVPeTjzY0qIAAAAAElFTkSuQmCC\n" 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\n" }, "metadata": {} } diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb index f4e10516..64792cff 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -53,7 +53,7 @@ }, { "source": [ - "# 4th Order Runge-Kutta - Data Generation" + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" ], "cell_type": "markdown", "metadata": {} @@ -300,14 +300,14 @@ }, { "source": [ - "# Re-calculate using 4th Order Runge-Kutta" + "# Predictions for nt = 10000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -318,31 +318,31 @@ " [0.0000e+00, 7.7911e-03, 1.0000e-04],\n", " [7.7911e-05, 1.5566e-02, 2.0000e-04],\n", " ...,\n", - " [7.4635e-01, 1.0293e-01, 9.9701e-02],\n", - " [7.4738e-01, 1.0790e-01, 9.9801e-02],\n", - " [7.4846e-01, 1.1286e-01, 9.9901e-02]], grad_fn=)" + " [1.1139e+00, 5.0133e-05, 9.9975e-01],\n", + " [1.1139e+00, 5.1647e-05, 9.9985e-01],\n", + " [1.1139e+00, 5.3148e-05, 9.9995e-01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 11 + "execution_count": 13 } ], "source": [ - "results_test = ode_solver_train(1000)\n", + "results_test = ode_solver_train(10000)\n", "results_test" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" 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\n" }, "metadata": {} } diff --git a/examples/ode/SEIR/SEIRTest_fit.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb index 0b430b81..784a8cfc 100644 --- a/examples/ode/SEIR/SEIRTest_fit.ipynb +++ b/examples/ode/SEIR/SEIRTest_fit.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -55,24 +55,16 @@ }, { "source": [ - "# 4th Order Runge-Kutta - Data Generation" + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Coeffs: {'a': Parameter containing:\ntensor(0.1000, requires_grad=True), 'g1': Parameter containing:\ntensor(0.3000, requires_grad=True), 'g2': Parameter containing:\ntensor(0.2000, requires_grad=True)}\n" - ] - } - ], + "outputs": [], "source": [ "ode_solver = ODESolver(\n", " ode=ode,\n", @@ -89,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -107,7 +99,7 @@ ] }, "metadata": {}, - "execution_count": 5 + "execution_count": 6 } ], "source": [ @@ -116,14 +108,14 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -152,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -170,14 +162,14 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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EBFVXV7e7z+eff64FCxZo9erViojo3CeJCwoK5Ha7vY/k5GR/pgkAAEJIl97A+r/3uTfGtHvv+5aWFk2ZMkUPPvigzjnnnE4//8KFC1VfX+99VFZWdmWaAAAgBPh107P4+HiFh4e3OQtSU1PT5myJJDU2NurDDz9UWVmZZs2aJUlqbW2VMUYRERF64403dPnll7fZz+VyyeVy+TM1AAAQovw6M+J0OpWeni6Px+Oz3ePxKDMzs834uLg4bd++Xdu2bfM+cnNzde6552rbtm0aMaLnvzQIAACcWPy+HXx+fr6mTp2qjIwMjRw5Us8884wqKiqUm5sr6dgllr179+q5555TWFiY0tLSfPbv16+foqKi2mwHAACnJr9jJDs7W3V1dVq8eLGqqqqUlpam4uJipaSkSJKqqqp+9J4jAAAAxzmMMcb2JH5MQ0OD3G636uvrFRcXZ3s6AAB06PDhwyovL/feqfxk90Ovt7N/v/luGgAAIEmaPn26HA6HHA6HIiIiNGjQIN155506cOBAUI9LjAAAAK8JEyaoqqpKX375pZYtW6bXXntNd911V1CP6fd7RgAAwMnL5XIpMTFRkjRw4EBlZ2dr1apVQT0mMQIAQJAZY2QOHerx4zqio9u9KWln7d69W+vXr1dkZGQAZ9UWMQIAQJCZQ4f072HpPX7ccz8qlSMmxq99Xn/9dfXu3VstLS06fPiwpGNfkhtMxAgAAPAaN26cCgsLdfDgQS1btky7du3S7Nmzg3pMYgQAgCBzREfr3I9KrRzXX7169dJZZ50lSXriiSc0btw4Pfjgg/r9738f6Ol5ESMAAASZw+Hw+3LJieKBBx7QxIkTdeeddyopKSkox+CjvQAAoEOXXXaZLrjgAj3yyCNBOwYxAgAAflB+fr6effZZVVZWBuX5uUwDAAAkqcP7iUyZMkVTpkwJ2nE5MwIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAIAgaG1ttT2FHhGI18lHewEACCCn06mwsDDt27dPZ5xxhpxOZ7e+OfdEZYxRc3Ozvv76a4WFhcnpdHb5uYgRAAACKCwsTKmpqaqqqtK+fftsTyfoYmJiNGjQIIWFdf1iCzECAECAOZ1ODRo0SEePHlVLS4vt6QRNeHi4IiIiun3mhxgBACAIHA6HIiMjFRkZaXsqJzzewAoAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsKpLMbJ06VKlpqYqKipK6enp2rhxY4dj16xZo6uuukpnnHGG4uLiNHLkSP3jH//o8oQBAMDJxe8YKSoqUl5enhYtWqSysjKNGTNGEydOVEVFRbvj3333XV111VUqLi5WaWmpxo0bp2uvvVZlZWXdnjwAAAh9DmOM8WeHESNGaNiwYSosLPRuGzJkiCZPnqyCgoJOPccFF1yg7Oxs3X///Z0a39DQILfbrfr6esXFxfkzXQAAYEln/377dWakublZpaWlysrK8tmelZWlkpKSTj1Ha2urGhsb1adPnw7HNDU1qaGhwecBAABOTn7FSG1trVpaWpSQkOCzPSEhQdXV1Z16jj/+8Y/673//qxtuuKHDMQUFBXK73d5HcnKyP9MEAAAhpEtvYHU4HD4/G2PabGvPiy++qN/97ncqKipSv379Ohy3cOFC1dfXex+VlZVdmSYAAAgBEf4Mjo+PV3h4eJuzIDU1NW3OlvyvoqIizZgxQy+//LKuvPLKHxzrcrnkcrn8mRoAAAhRfp0ZcTqdSk9Pl8fj8dnu8XiUmZnZ4X4vvviipk+frhdeeEGTJk3q2kwBAMBJya8zI5KUn5+vqVOnKiMjQyNHjtQzzzyjiooK5ebmSjp2iWXv3r167rnnJB0LkZycHP35z3/WpZde6j2rEh0dLbfbHcCXAgAAQpHfMZKdna26ujotXrxYVVVVSktLU3FxsVJSUiRJVVVVPvccefrpp3X06FHdfffduvvuu73bp02bplWrVnX/FQAAgJDm931GbOA+IwAAhJ6g3GcEAAAg0IgRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVEbYnYIsxRoeOtNieBgAAJ4ToyHA5HA4rxz5lY+TQkRadf/8/bE8DAIATwo7F4xXjtJMFXKYBAABWnbJnRqIjw7Vj8Xjb0wAA4IQQHRlu7dinbIw4HA5rp6MAAMD3uEwDAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWNWlGFm6dKlSU1MVFRWl9PR0bdy48QfHb9iwQenp6YqKitLgwYP11FNPdWmyAADg5ON3jBQVFSkvL0+LFi1SWVmZxowZo4kTJ6qioqLd8eXl5br66qs1ZswYlZWV6b777tOcOXP0yiuvdHvyAAAg9DmMMcafHUaMGKFhw4apsLDQu23IkCGaPHmyCgoK2oyfP3++1q1bp507d3q35ebm6uOPP9bmzZs7dcyGhga53W7V19crLi7On+l2qLW1VQcbDwTkuQAACHUxsacrLCyw797o7N/vCH+etLm5WaWlpVqwYIHP9qysLJWUlLS7z+bNm5WVleWzbfz48Vq+fLmOHDmiyMjINvs0NTWpqanJ58UE2sHGA6ocMTrgzwsAQChK3rJJvd19rRzbrwSqra1VS0uLEhISfLYnJCSourq63X2qq6vbHX/06FHV1ta2u09BQYHcbrf3kZyc7M80AQBACPHrzMhxDofD52djTJttPza+ve3HLVy4UPn5+d6fGxoaAh4kMbGnK3nLpoA+JwAAoSom9nRrx/YrRuLj4xUeHt7mLEhNTU2bsx/HJSYmtjs+IiJCffu2fzrI5XLJ5XL5MzW/hYWFWTsdBQAAvufXZRqn06n09HR5PB6f7R6PR5mZme3uM3LkyDbj33jjDWVkZLT7fhEAAHBq8ftts/n5+Vq2bJlWrFihnTt3at68eaqoqFBubq6kY5dYcnJyvONzc3O1Z88e5efna+fOnVqxYoWWL1+ue+65J3CvAgAAhCy/3zOSnZ2turo6LV68WFVVVUpLS1NxcbFSUlIkSVVVVT73HElNTVVxcbHmzZunJ598UklJSXriiSd03XXXBe5VAACAkOX3fUZsCMZ9RgAAQHB19u83300DAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACs8vt28DYcv0lsQ0OD5ZkAAIDOOv53+8du9h4SMdLY2ChJSk5OtjwTAADgr8bGRrnd7g5/HxLfTdPa2qp9+/YpNjZWDocjYM/b0NCg5ORkVVZW8p03QcZa9wzWuWewzj2Dde45wVprY4waGxuVlJSksLCO3xkSEmdGwsLCNHDgwKA9f1xcHP+h9xDWumewzj2Dde4ZrHPPCcZa/9AZkeN4AysAALCKGAEAAFad0jHicrn0wAMPyOVy2Z7KSY+17hmsc89gnXsG69xzbK91SLyBFQAAnLxO6TMjAADAPmIEAABYRYwAAACriBEAAGDVKR0jS5cuVWpqqqKiopSenq6NGzfanlLIKCgo0E9/+lPFxsaqX79+mjx5sv7973/7jDHG6He/+52SkpIUHR2tyy67TJ9++qnPmKamJs2ePVvx8fHq1auXfv7zn+urr77qyZcSUgoKCuRwOJSXl+fdxjoHzt69e3XLLbeob9++iomJ0cUXX6zS0lLv71nr7jt69Kh+85vfKDU1VdHR0Ro8eLAWL16s1tZW7xjWuWveffddXXvttUpKSpLD4dDatWt9fh+odT1w4ICmTp0qt9stt9utqVOn6ttvv+3e5M0p6qWXXjKRkZHm2WefNTt27DBz5841vXr1Mnv27LE9tZAwfvx4s3LlSvPJJ5+Ybdu2mUmTJplBgwaZ7777zjvm0UcfNbGxseaVV14x27dvN9nZ2aZ///6moaHBOyY3N9cMGDDAeDwe89FHH5lx48aZiy66yBw9etTGyzqhbd261Zx55plm6NChZu7cud7trHNgfPPNNyYlJcVMnz7dbNmyxZSXl5s333zT/Oc///GOYa2776GHHjJ9+/Y1r7/+uikvLzcvv/yy6d27t3n88ce9Y1jnrikuLjaLFi0yr7zyipFkXn31VZ/fB2pdJ0yYYNLS0kxJSYkpKSkxaWlp5pprrunW3E/ZGBk+fLjJzc312XbeeeeZBQsWWJpRaKupqTGSzIYNG4wxxrS2tprExETz6KOPesccPnzYuN1u89RTTxljjPn2229NZGSkeemll7xj9u7da8LCwsz69et79gWc4BobG83ZZ59tPB6PGTt2rDdGWOfAmT9/vhk9enSHv2etA2PSpEnmtttu89n2y1/+0txyyy3GGNY5UP43RgK1rjt27DCSzPvvv+8ds3nzZiPJfPbZZ12e7yl5maa5uVmlpaXKysry2Z6VlaWSkhJLswpt9fX1kqQ+ffpIksrLy1VdXe2zxi6XS2PHjvWucWlpqY4cOeIzJikpSWlpafw7/I+7775bkyZN0pVXXumznXUOnHXr1ikjI0PXX3+9+vXrp0suuUTPPvus9/esdWCMHj1ab731lnbt2iVJ+vjjj7Vp0yZdffXVkljnYAnUum7evFlut1sjRozwjrn00kvldru7tfYh8UV5gVZbW6uWlhYlJCT4bE9ISFB1dbWlWYUuY4zy8/M1evRopaWlSZJ3Hdtb4z179njHOJ1OnX766W3G8O/wvZdeekkfffSRPvjggza/Y50DZ/fu3SosLFR+fr7uu+8+bd26VXPmzJHL5VJOTg5rHSDz589XfX29zjvvPIWHh6ulpUUPP/ywbrrpJkn8Nx0sgVrX6upq9evXr83z9+vXr1trf0rGyHEOh8PnZ2NMm234cbNmzdK//vUvbdq0qc3vurLG/Dt8r7KyUnPnztUbb7yhqKioDsexzt3X2tqqjIwMPfLII5KkSy65RJ9++qkKCwuVk5PjHcdad09RUZGef/55vfDCC7rgggu0bds25eXlKSkpSdOmTfOOY52DIxDr2t747q79KXmZJj4+XuHh4W0qrqampk014ofNnj1b69at09tvv62BAwd6tycmJkrSD65xYmKimpubdeDAgQ7HnOpKS0tVU1Oj9PR0RUREKCIiQhs2bNATTzyhiIgI7zqxzt3Xv39/nX/++T7bhgwZooqKCkn8Nx0o9957rxYsWKAbb7xRF154oaZOnap58+apoKBAEuscLIFa18TERO3fv7/N83/99dfdWvtTMkacTqfS09Pl8Xh8tns8HmVmZlqaVWgxxmjWrFlas2aN/vnPfyo1NdXn96mpqUpMTPRZ4+bmZm3YsMG7xunp6YqMjPQZU1VVpU8++YR/h//niiuu0Pbt27Vt2zbvIyMjQzfffLO2bdumwYMHs84BMmrUqDYfT9+1a5dSUlIk8d90oBw8eFBhYb5/esLDw70f7WWdgyNQ6zpy5EjV19dr69at3jFbtmxRfX1999a+y299DXHHP9q7fPlys2PHDpOXl2d69eplvvzyS9tTCwl33nmncbvd5p133jFVVVXex8GDB71jHn30UeN2u82aNWvM9u3bzU033dTux8gGDhxo3nzzTfPRRx+Zyy+//JT/eN6P+f8/TWMM6xwoW7duNREREebhhx82n3/+uVm9erWJiYkxzz//vHcMa91906ZNMwMGDPB+tHfNmjUmPj7e/PrXv/aOYZ27prGx0ZSVlZmysjIjySxZssSUlZV5b1kRqHWdMGGCGTp0qNm8ebPZvHmzufDCC/lob3c8+eSTJiUlxTidTjNs2DDvx1Lx4yS1+1i5cqV3TGtrq3nggQdMYmKicblc5mc/+5nZvn27z/McOnTIzJo1y/Tp08dER0eba665xlRUVPTwqwkt/xsjrHPgvPbaayYtLc24XC5z3nnnmWeeecbn96x19zU0NJi5c+eaQYMGmaioKDN48GCzaNEi09TU5B3DOnfN22+/3e7/l6dNm2aMCdy61tXVmZtvvtnExsaa2NhYc/PNN5sDBw50a+4OY4zp+nkVAACA7jkl3zMCAABOHMQIAACwihgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMAAMCq/wMIbbmNCrSV4AAAAABJRU5ErkJggg==\n" }, "metadata": {} @@ -200,105 +192,449 @@ }, { "cell_type": "code", - "execution_count": 27, - "metadata": {}, + "execution_count": 11, + "metadata": { + "tags": [ + "outputPrepend" + ] + }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "n: 1000\n", - "Epoch: 0\t Loss: tensor(0.1190, grad_fn=)\n", - "Epoch: 1\t Loss: tensor(0.0977, grad_fn=)\n", - "Epoch: 2\t Loss: tensor(0.0801, grad_fn=)\n", - "Epoch: 3\t Loss: tensor(0.0658, grad_fn=)\n", - "Epoch: 4\t Loss: tensor(0.0546, grad_fn=)\n", - "Epoch: 5\t Loss: tensor(0.0456, grad_fn=)\n", - "Epoch: 6\t Loss: tensor(0.0384, grad_fn=)\n", - "Epoch: 7\t Loss: tensor(0.0323, grad_fn=)\n", - "Epoch: 8\t Loss: tensor(0.0272, grad_fn=)\n", - "Epoch: 9\t Loss: tensor(0.0228, grad_fn=)\n", - "Epoch: 10\t Loss: tensor(0.0191, grad_fn=)\n", - "Epoch: 11\t Loss: tensor(0.0158, grad_fn=)\n", - "Epoch: 12\t Loss: tensor(0.0131, grad_fn=)\n", - "Epoch: 13\t Loss: tensor(0.0108, grad_fn=)\n", - "Epoch: 14\t Loss: tensor(0.0089, grad_fn=)\n", - "Epoch: 15\t Loss: tensor(0.0074, grad_fn=)\n", - "Epoch: 16\t Loss: tensor(0.0062, grad_fn=)\n", - "Epoch: 17\t Loss: tensor(0.0053, grad_fn=)\n", - "Epoch: 18\t Loss: tensor(0.0046, grad_fn=)\n", - "Epoch: 19\t Loss: tensor(0.0041, grad_fn=)\n", - "Epoch: 20\t Loss: tensor(0.0037, grad_fn=)\n", - "Epoch: 21\t Loss: tensor(0.0034, grad_fn=)\n", - "Epoch: 22\t Loss: tensor(0.0032, grad_fn=)\n", - "Epoch: 23\t Loss: tensor(0.0030, grad_fn=)\n", - "Epoch: 24\t Loss: tensor(0.0028, grad_fn=)\n", - "Epoch: 25\t Loss: tensor(0.0027, grad_fn=)\n", - "Epoch: 26\t Loss: tensor(0.0025, grad_fn=)\n", - "Epoch: 27\t Loss: tensor(0.0023, grad_fn=)\n", - "Epoch: 28\t Loss: tensor(0.0021, grad_fn=)\n", - "Epoch: 29\t Loss: tensor(0.0019, grad_fn=)\n", - "Epoch: 30\t Loss: tensor(0.0017, grad_fn=)\n", - "Epoch: 31\t Loss: tensor(0.0015, grad_fn=)\n", - "Epoch: 32\t Loss: tensor(0.0013, grad_fn=)\n", - "Epoch: 33\t Loss: tensor(0.0011, grad_fn=)\n", - "Epoch: 34\t Loss: tensor(0.0010, grad_fn=)\n", - "Epoch: 35\t Loss: tensor(0.0009, grad_fn=)\n", - "Epoch: 36\t Loss: tensor(0.0009, grad_fn=)\n", - "Epoch: 37\t Loss: tensor(0.0008, grad_fn=)\n", - "Epoch: 38\t Loss: tensor(0.0008, grad_fn=)\n", - "Epoch: 39\t Loss: tensor(0.0008, grad_fn=)\n", - "Epoch: 40\t Loss: tensor(0.0007, grad_fn=)\n", - "Epoch: 41\t Loss: tensor(0.0007, grad_fn=)\n", - "Epoch: 42\t Loss: tensor(0.0006, grad_fn=)\n", - "Epoch: 43\t Loss: tensor(0.0006, grad_fn=)\n", - "Epoch: 44\t Loss: tensor(0.0005, grad_fn=)\n", - "Epoch: 45\t Loss: tensor(0.0004, grad_fn=)\n", - "Epoch: 46\t Loss: tensor(0.0004, grad_fn=)\n", - "Epoch: 47\t Loss: tensor(0.0003, grad_fn=)\n", - "Epoch: 48\t Loss: tensor(0.0003, grad_fn=)\n", - "Epoch: 49\t Loss: tensor(0.0003, grad_fn=)\n" + "(0.0946, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0790, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1974, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': 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requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1007, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1124, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1938, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1006, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1185, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1947, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1243, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1960, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1300, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1974, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1355, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1987, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0972, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1408, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0965, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1460, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2003, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0963, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1510, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2003, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(9.7682e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0964, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1558, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1999, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(8.8802e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0969, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1604, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(7.8842e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0977, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1649, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1983, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(7.0494e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1692, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1974, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(6.5258e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1734, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1968, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(6.2502e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1774, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1965, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(6.0217e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1813, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1966, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(5.6671e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1850, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1970, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(5.1608e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1886, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1977, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(4.6179e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1921, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1985, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(4.1837e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1954, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(3.9211e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1987, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1998, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(3.7724e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0980, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2018, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2000, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(3.6195e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0980, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2048, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2000, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(3.3819e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2077, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(3.0734e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2105, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 50\t Loss: tensor(2.7764e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2132, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1987, requires_grad=True)}\n", + "Epoch: 51\t Loss: tensor(2.5636e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2158, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1983, requires_grad=True)}\n", + "Epoch: 52\t Loss: tensor(2.4411e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2183, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1980, requires_grad=True)}\n", + "Epoch: 53\t Loss: tensor(2.3517e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2208, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1980, requires_grad=True)}\n", + "Epoch: 54\t Loss: tensor(2.2311e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2231, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1981, requires_grad=True)}\n", + "Epoch: 55\t Loss: tensor(2.0608e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2254, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1985, requires_grad=True)}\n", + "Epoch: 56\t Loss: tensor(1.8757e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2276, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1989, requires_grad=True)}\n", + "Epoch: 57\t Loss: tensor(1.7251e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2297, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 58\t Loss: tensor(1.6295e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2317, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 59\t Loss: tensor(1.5658e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2337, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1998, requires_grad=True)}\n", + "Epoch: 60\t Loss: tensor(1.4947e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2356, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1998, requires_grad=True)}\n", + "Epoch: 61\t Loss: tensor(1.3955e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2375, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 62\t Loss: tensor(1.2814e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2393, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 63\t Loss: tensor(1.1817e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2410, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1990, requires_grad=True)}\n", + "Epoch: 64\t Loss: tensor(1.1129e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2427, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1988, requires_grad=True)}\n", + "Epoch: 65\t Loss: tensor(1.0659e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2443, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1987, requires_grad=True)}\n", + "Epoch: 66\t Loss: tensor(1.0182e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2459, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1987, requires_grad=True)}\n", + "Epoch: 67\t Loss: tensor(9.5560e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2474, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1989, requires_grad=True)}\n", + "Epoch: 68\t Loss: tensor(8.8371e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2489, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 69\t Loss: tensor(8.1914e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2503, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 70\t Loss: tensor(7.7218e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2517, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 71\t Loss: tensor(7.3807e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2530, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 72\t Loss: tensor(7.0378e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2543, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 73\t Loss: tensor(6.6148e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2556, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 74\t Loss: tensor(6.1477e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2568, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n", + "Epoch: 75\t Loss: tensor(5.7309e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2580, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 76\t Loss: tensor(5.4180e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2592, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 77\t Loss: tensor(5.1708e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2603, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 78\t Loss: tensor(4.9158e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2614, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 79\t Loss: tensor(4.6182e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2624, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 80\t Loss: tensor(4.3082e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2635, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 81\t Loss: tensor(4.0392e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2645, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n", + "Epoch: 82\t Loss: tensor(3.8291e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2654, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 83\t Loss: tensor(3.6487e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2664, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 84\t Loss: tensor(3.4565e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2673, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 85\t Loss: tensor(3.2440e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2682, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 86\t Loss: tensor(3.0374e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2691, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n", + "Epoch: 87\t Loss: tensor(2.8623e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2699, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 88\t Loss: tensor(2.7187e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2707, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 89\t Loss: tensor(2.5832e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2715, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 90\t Loss: tensor(2.4385e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2723, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1994, requires_grad=True)}\n", + "Epoch: 91\t Loss: tensor(2.2882e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2731, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n", + "Epoch: 92\t Loss: tensor(2.1509e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2738, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 93\t Loss: tensor(2.0347e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2745, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 94\t Loss: tensor(1.9325e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2752, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 95\t Loss: tensor(1.8298e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2759, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 96\t Loss: tensor(1.7222e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2766, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 97\t Loss: tensor(1.6187e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2772, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 98\t Loss: tensor(1.5270e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2778, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(1.4471e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2785, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n" ] } ], "source": [ - "ode_solver.fit(result,torch.optim.Adam, {\"lr\": 0.01}, max_epochs=50)" + "ode_solver.fit(result,torch.optim.Adam, {\"lr\": 0.01}, max_epochs=100)" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "{'a': 0.10043926537036896,\n", - " 'g1': 0.06884637475013733,\n", - " 'g2': 0.19648335874080658}" + "{'a': 0.0999237447977066, 'g1': 0.2784566581249237, 'g2': 0.19953623414039612}" ] }, "metadata": {}, - "execution_count": 28 + "execution_count": 12 } ], "source": [ "ode_solver.get_coeffs()\n", "\n", - "# \"a\" and \"g2\" match. \"g1\" is off, but the difference it makes on the trajectories is not noticeable" + "# \"a\" and \"g2\" differ by at most 0.01. \"g1\" differs by 0.03." ] }, { "source": [ - "# Re-calculate using 4th Order Runge-Kutta" + "# Predictions for nt = 10000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -306,62 +642,35 @@ "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9823e-01, 1.7684e-03, 0.0000e+00],\n", - " [1.0000e-01, 8.9647e-01, 3.5314e-03, 1.7761e-06],\n", + " [1.0000e-01, 8.9820e-01, 1.7958e-03, 0.0000e+00],\n", + " [1.0000e-01, 8.9641e-01, 3.5863e-03, 1.7945e-06],\n", " ...,\n", - " [5.2224e-02, 5.0797e-06, 1.4529e-04, 9.4763e-01],\n", - " [5.2224e-02, 5.0749e-06, 1.4516e-04, 9.4763e-01],\n", - " [5.2224e-02, 5.0702e-06, 1.4502e-04, 9.4763e-01]],\n", + " [6.2658e-03, 2.2260e-06, 1.3104e-04, 9.9360e-01],\n", + " [6.2658e-03, 2.2239e-06, 1.3092e-04, 9.9360e-01],\n", + " [6.2658e-03, 2.2217e-06, 1.3079e-04, 9.9360e-01]],\n", " grad_fn=)" ] }, "metadata": {}, - "execution_count": 29 + "execution_count": 13 } ], "source": [ - "ode_solver(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9823e-01, 1.7684e-03, 0.0000e+00],\n", - " [1.0000e-01, 8.9647e-01, 3.5314e-03, 1.7761e-06],\n", - " ...,\n", - " [7.8164e-02, 1.3713e-01, 4.2534e-01, 3.5937e-01],\n", - " [7.8141e-02, 1.3688e-01, 4.2518e-01, 3.5980e-01],\n", - " [7.8118e-02, 1.3663e-01, 4.2502e-01, 3.6023e-01]],\n", - " grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 30 - } - ], - "source": [ - "results_test = ode_solver(1000)\n", + "results_test = ode_solver(10000)\n", "results_test" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 14, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} } diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb index f56432f6..7a75a19d 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -55,14 +55,14 @@ }, { "source": [ - "# 4th Order Runge-Kutta - Data Generation" + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ ] }, "metadata": {}, - "execution_count": 5 + "execution_count": 6 } ], "source": [ @@ -108,14 +108,14 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -144,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -162,14 +162,14 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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EBFVXV7e7z+eff64FCxZo9erViojo3CeJCwoK5Ha7vY/k5GR/pgkAAEJIl97A+r/3uTfGtHvv+5aWFk2ZMkUPPvigzjnnnE4//8KFC1VfX+99VFZWdmWaAAAgBPh107P4+HiFh4e3OQtSU1PT5myJJDU2NurDDz9UWVmZZs2aJUlqbW2VMUYRERF64403dPnll7fZz+VyyeVy+TM1AAAQovw6M+J0OpWeni6Px+Oz3ePxKDMzs834uLg4bd++Xdu2bfM+cnNzde6552rbtm0aMaLnvzQIAACcWPy+HXx+fr6mTp2qjIwMjRw5Us8884wqKiqUm5sr6dgllr179+q5555TWFiY0tLSfPbv16+foqKi2mwHAACnJr9jJDs7W3V1dVq8eLGqqqqUlpam4uJipaSkSJKqqqp+9J4jAAAAxzmMMcb2JH5MQ0OD3G636uvrFRcXZ3s6AAB06PDhwyovL/feqfxk90Ovt7N/v/luGgAAIEmaPn26HA6HHA6HIiIiNGjQIN155506cOBAUI9LjAAAAK8JEyaoqqpKX375pZYtW6bXXntNd911V1CP6fd7RgAAwMnL5XIpMTFRkjRw4EBlZ2dr1apVQT0mMQIAQJAZY2QOHerx4zqio9u9KWln7d69W+vXr1dkZGQAZ9UWMQIAQJCZQ4f072HpPX7ccz8qlSMmxq99Xn/9dfXu3VstLS06fPiwpGNfkhtMxAgAAPAaN26cCgsLdfDgQS1btky7du3S7Nmzg3pMYgQAgCBzREfr3I9KrRzXX7169dJZZ50lSXriiSc0btw4Pfjgg/r9738f6Ol5ESMAAASZw+Hw+3LJieKBBx7QxIkTdeeddyopKSkox+CjvQAAoEOXXXaZLrjgAj3yyCNBOwYxAgAAflB+fr6effZZVVZWBuX5uUwDAAAkqcP7iUyZMkVTpkwJ2nE5MwIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAIAgaG1ttT2FHhGI18lHewEACCCn06mwsDDt27dPZ5xxhpxOZ7e+OfdEZYxRc3Ozvv76a4WFhcnpdHb5uYgRAAACKCwsTKmpqaqqqtK+fftsTyfoYmJiNGjQIIWFdf1iCzECAECAOZ1ODRo0SEePHlVLS4vt6QRNeHi4IiIiun3mhxgBACAIHA6HIiMjFRkZaXsqJzzewAoAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsKpLMbJ06VKlpqYqKipK6enp2rhxY4dj16xZo6uuukpnnHGG4uLiNHLkSP3jH//o8oQBAMDJxe8YKSoqUl5enhYtWqSysjKNGTNGEydOVEVFRbvj3333XV111VUqLi5WaWmpxo0bp2uvvVZlZWXdnjwAAAh9DmOM8WeHESNGaNiwYSosLPRuGzJkiCZPnqyCgoJOPccFF1yg7Oxs3X///Z0a39DQILfbrfr6esXFxfkzXQAAYEln/377dWakublZpaWlysrK8tmelZWlkpKSTj1Ha2urGhsb1adPnw7HNDU1qaGhwecBAABOTn7FSG1trVpaWpSQkOCzPSEhQdXV1Z16jj/+8Y/673//qxtuuKHDMQUFBXK73d5HcnKyP9MEAAAhpEtvYHU4HD4/G2PabGvPiy++qN/97ncqKipSv379Ohy3cOFC1dfXex+VlZVdmSYAAAgBEf4Mjo+PV3h4eJuzIDU1NW3OlvyvoqIizZgxQy+//LKuvPLKHxzrcrnkcrn8mRoAAAhRfp0ZcTqdSk9Pl8fj8dnu8XiUmZnZ4X4vvviipk+frhdeeEGTJk3q2kwBAMBJya8zI5KUn5+vqVOnKiMjQyNHjtQzzzyjiooK5ebmSjp2iWXv3r167rnnJB0LkZycHP35z3/WpZde6j2rEh0dLbfbHcCXAgAAQpHfMZKdna26ujotXrxYVVVVSktLU3FxsVJSUiRJVVVVPvccefrpp3X06FHdfffduvvuu73bp02bplWrVnX/FQAAgJDm931GbOA+IwAAhJ6g3GcEAAAg0IgRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVEbYnYIsxRoeOtNieBgAAJ4ToyHA5HA4rxz5lY+TQkRadf/8/bE8DAIATwo7F4xXjtJMFXKYBAABWnbJnRqIjw7Vj8Xjb0wAA4IQQHRlu7dinbIw4HA5rp6MAAMD3uEwDAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWNWlGFm6dKlSU1MVFRWl9PR0bdy48QfHb9iwQenp6YqKitLgwYP11FNPdWmyAADg5ON3jBQVFSkvL0+LFi1SWVmZxowZo4kTJ6qioqLd8eXl5br66qs1ZswYlZWV6b777tOcOXP0yiuvdHvyAAAg9DmMMcafHUaMGKFhw4apsLDQu23IkCGaPHmyCgoK2oyfP3++1q1bp507d3q35ebm6uOPP9bmzZs7dcyGhga53W7V19crLi7On+l2qLW1VQcbDwTkuQAACHUxsacrLCyw797o7N/vCH+etLm5WaWlpVqwYIHP9qysLJWUlLS7z+bNm5WVleWzbfz48Vq+fLmOHDmiyMjINvs0NTWpqanJ58UE2sHGA6ocMTrgzwsAQChK3rJJvd19rRzbrwSqra1VS0uLEhISfLYnJCSourq63X2qq6vbHX/06FHV1ta2u09BQYHcbrf3kZyc7M80AQBACPHrzMhxDofD52djTJttPza+ve3HLVy4UPn5+d6fGxoaAh4kMbGnK3nLpoA+JwAAoSom9nRrx/YrRuLj4xUeHt7mLEhNTU2bsx/HJSYmtjs+IiJCffu2fzrI5XLJ5XL5MzW/hYWFWTsdBQAAvufXZRqn06n09HR5PB6f7R6PR5mZme3uM3LkyDbj33jjDWVkZLT7fhEAAHBq8ftts/n5+Vq2bJlWrFihnTt3at68eaqoqFBubq6kY5dYcnJyvONzc3O1Z88e5efna+fOnVqxYoWWL1+ue+65J3CvAgAAhCy/3zOSnZ2turo6LV68WFVVVUpLS1NxcbFSUlIkSVVVVT73HElNTVVxcbHmzZunJ598UklJSXriiSd03XXXBe5VAACAkOX3fUZsCMZ9RgAAQHB19u83300DAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACs8vt28DYcv0lsQ0OD5ZkAAIDOOv53+8du9h4SMdLY2ChJSk5OtjwTAADgr8bGRrnd7g5/HxLfTdPa2qp9+/YpNjZWDocjYM/b0NCg5ORkVVZW8p03QcZa9wzWuWewzj2Dde45wVprY4waGxuVlJSksLCO3xkSEmdGwsLCNHDgwKA9f1xcHP+h9xDWumewzj2Dde4ZrHPPCcZa/9AZkeN4AysAALCKGAEAAFad0jHicrn0wAMPyOVy2Z7KSY+17hmsc89gnXsG69xzbK91SLyBFQAAnLxO6TMjAADAPmIEAABYRYwAAACriBEAAGDVKR0jS5cuVWpqqqKiopSenq6NGzfanlLIKCgo0E9/+lPFxsaqX79+mjx5sv7973/7jDHG6He/+52SkpIUHR2tyy67TJ9++qnPmKamJs2ePVvx8fHq1auXfv7zn+urr77qyZcSUgoKCuRwOJSXl+fdxjoHzt69e3XLLbeob9++iomJ0cUXX6zS0lLv71nr7jt69Kh+85vfKDU1VdHR0Ro8eLAWL16s1tZW7xjWuWveffddXXvttUpKSpLD4dDatWt9fh+odT1w4ICmTp0qt9stt9utqVOn6ttvv+3e5M0p6qWXXjKRkZHm2WefNTt27DBz5841vXr1Mnv27LE9tZAwfvx4s3LlSvPJJ5+Ybdu2mUmTJplBgwaZ7777zjvm0UcfNbGxseaVV14x27dvN9nZ2aZ///6moaHBOyY3N9cMGDDAeDwe89FHH5lx48aZiy66yBw9etTGyzqhbd261Zx55plm6NChZu7cud7trHNgfPPNNyYlJcVMnz7dbNmyxZSXl5s333zT/Oc///GOYa2776GHHjJ9+/Y1r7/+uikvLzcvv/yy6d27t3n88ce9Y1jnrikuLjaLFi0yr7zyipFkXn31VZ/fB2pdJ0yYYNLS0kxJSYkpKSkxaWlp5pprrunW3E/ZGBk+fLjJzc312XbeeeeZBQsWWJpRaKupqTGSzIYNG4wxxrS2tprExETz6KOPesccPnzYuN1u89RTTxljjPn2229NZGSkeemll7xj9u7da8LCwsz69et79gWc4BobG83ZZ59tPB6PGTt2rDdGWOfAmT9/vhk9enSHv2etA2PSpEnmtttu89n2y1/+0txyyy3GGNY5UP43RgK1rjt27DCSzPvvv+8ds3nzZiPJfPbZZ12e7yl5maa5uVmlpaXKysry2Z6VlaWSkhJLswpt9fX1kqQ+ffpIksrLy1VdXe2zxi6XS2PHjvWucWlpqY4cOeIzJikpSWlpafw7/I+7775bkyZN0pVXXumznXUOnHXr1ikjI0PXX3+9+vXrp0suuUTPPvus9/esdWCMHj1ab731lnbt2iVJ+vjjj7Vp0yZdffXVkljnYAnUum7evFlut1sjRozwjrn00kvldru7tfYh8UV5gVZbW6uWlhYlJCT4bE9ISFB1dbWlWYUuY4zy8/M1evRopaWlSZJ3Hdtb4z179njHOJ1OnX766W3G8O/wvZdeekkfffSRPvjggza/Y50DZ/fu3SosLFR+fr7uu+8+bd26VXPmzJHL5VJOTg5rHSDz589XfX29zjvvPIWHh6ulpUUPP/ywbrrpJkn8Nx0sgVrX6upq9evXr83z9+vXr1trf0rGyHEOh8PnZ2NMm234cbNmzdK//vUvbdq0qc3vurLG/Dt8r7KyUnPnztUbb7yhqKioDsexzt3X2tqqjIwMPfLII5KkSy65RJ9++qkKCwuVk5PjHcdad09RUZGef/55vfDCC7rgggu0bds25eXlKSkpSdOmTfOOY52DIxDr2t747q79KXmZJj4+XuHh4W0qrqampk014ofNnj1b69at09tvv62BAwd6tycmJkrSD65xYmKimpubdeDAgQ7HnOpKS0tVU1Oj9PR0RUREKCIiQhs2bNATTzyhiIgI7zqxzt3Xv39/nX/++T7bhgwZooqKCkn8Nx0o9957rxYsWKAbb7xRF154oaZOnap58+apoKBAEuscLIFa18TERO3fv7/N83/99dfdWvtTMkacTqfS09Pl8Xh8tns8HmVmZlqaVWgxxmjWrFlas2aN/vnPfyo1NdXn96mpqUpMTPRZ4+bmZm3YsMG7xunp6YqMjPQZU1VVpU8++YR/h//niiuu0Pbt27Vt2zbvIyMjQzfffLO2bdumwYMHs84BMmrUqDYfT9+1a5dSUlIk8d90oBw8eFBhYb5/esLDw70f7WWdgyNQ6zpy5EjV19dr69at3jFbtmxRfX1999a+y299DXHHP9q7fPlys2PHDpOXl2d69eplvvzyS9tTCwl33nmncbvd5p133jFVVVXex8GDB71jHn30UeN2u82aNWvM9u3bzU033dTux8gGDhxo3nzzTfPRRx+Zyy+//JT/eN6P+f8/TWMM6xwoW7duNREREebhhx82n3/+uVm9erWJiYkxzz//vHcMa91906ZNMwMGDPB+tHfNmjUmPj7e/PrXv/aOYZ27prGx0ZSVlZmysjIjySxZssSUlZV5b1kRqHWdMGGCGTp0qNm8ebPZvHmzufDCC/lob3c8+eSTJiUlxTidTjNs2DDvx1Lx4yS1+1i5cqV3TGtrq3nggQdMYmKicblc5mc/+5nZvn27z/McOnTIzJo1y/Tp08dER0eba665xlRUVPTwqwkt/xsjrHPgvPbaayYtLc24XC5z3nnnmWeeecbn96x19zU0NJi5c+eaQYMGmaioKDN48GCzaNEi09TU5B3DOnfN22+/3e7/l6dNm2aMCdy61tXVmZtvvtnExsaa2NhYc/PNN5sDBw50a+4OY4zp+nkVAACA7jkl3zMCAABOHMQIAACwihgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMAAMCq/wMIbbmNCrSV4AAAAABJRU5ErkJggg==\n" }, "metadata": {} @@ -192,112 +192,112 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(4.6695e-08, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(5.0924e-08, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0282, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1135, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.0955, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(2.0676e-09, grad_fn=)\n", + "tensor(0.0251, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1172, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0972, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.7863e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0911, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1717, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1552, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.0620e-09, grad_fn=)\n", + "tensor(0.0932, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1684, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1580, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(1.9583e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0951, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1594, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1907, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.6878e-09, grad_fn=)\n", + "tensor(0.0967, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1525, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1923, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.8069e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0984, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0977, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1960, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.1100e-09, grad_fn=)\n", + "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0909, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1966, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(9.8425e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0276, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0218, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1926, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(6.7458e-10, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(6.6682e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0326, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1915, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(4.3536e-10, grad_fn=)\n", + "tensor(0.0967, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0356, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1918, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(4.3547e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0814, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1927, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.0973e-10, grad_fn=)\n", + "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0831, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1929, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(2.9978e-10, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", "tensor(0.1227, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1947, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.9906e-10, grad_fn=)\n", + "Epoch: 8\t Loss: tensor(1.9765e-10, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1578, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1572, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1958, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(1.1289e-10, grad_fn=)\n", + "Epoch: 9\t Loss: tensor(1.1863e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1876, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1966, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(7.3364e-11, grad_fn=)\n", + "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1860, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1965, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(7.3628e-11, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2122, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1971, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(4.2479e-11, grad_fn=)\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2103, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1975, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(4.3234e-11, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2319, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1977, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.5407e-11, grad_fn=)\n", + "tensor(0.2306, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1976, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(2.6147e-11, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2475, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1983, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.5420e-11, grad_fn=)\n", + "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2464, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1981, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(1.5700e-11, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2600, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2590, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(8.4156e-12, grad_fn=)\n", + "Epoch: 14\t Loss: tensor(9.1202e-12, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2699, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1989, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(4.9005e-12, grad_fn=)\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2690, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1990, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(4.6565e-12, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2774, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(2.4019e-12, grad_fn=)\n", + "tensor(0.2768, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(2.7278e-12, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2833, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2828, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(1.3333e-12, grad_fn=)\n", + "Epoch: 17\t Loss: tensor(1.4706e-12, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2877, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2873, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(7.3605e-13, grad_fn=)\n", + "Epoch: 18\t Loss: tensor(7.0044e-13, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2909, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(3.6061e-13, grad_fn=)\n", + "tensor(0.2906, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(4.3328e-13, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2933, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2930, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1996, requires_grad=True)}\n" ] } @@ -312,18 +312,18 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 11, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "{'a': 0.0999365746974945, 'g1': 0.2932976186275482, 'g2': 0.19956441223621368}" + "{'a': 0.09994413703680038, 'g1': 0.2930056154727936, 'g2': 0.19959327578544617}" ] }, "metadata": {}, - "execution_count": 17 + "execution_count": 11 } ], "source": [ @@ -334,14 +334,14 @@ }, { "source": [ - "# Re-calculate using 4th Order Runge-Kutta" + "# Predictions for nt = 10000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -349,62 +349,35 @@ "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7961e-03, 0.0000e+00],\n", - " [9.9999e-02, 8.9641e-01, 3.5868e-03, 1.7949e-06],\n", + " [1.0000e-01, 8.9820e-01, 1.7963e-03, 0.0000e+00],\n", + " [9.9999e-02, 8.9641e-01, 3.5873e-03, 1.7953e-06],\n", " ...,\n", - " [5.3935e-03, 1.9782e-06, 1.2804e-04, 9.9447e-01],\n", - " [5.3935e-03, 1.9763e-06, 1.2792e-04, 9.9447e-01],\n", - " [5.3935e-03, 1.9743e-06, 1.2779e-04, 9.9447e-01]],\n", + " [5.4107e-03, 1.9812e-06, 1.2800e-04, 9.9446e-01],\n", + " [5.4107e-03, 1.9793e-06, 1.2787e-04, 9.9446e-01],\n", + " [5.4107e-03, 1.9774e-06, 1.2775e-04, 9.9446e-01]],\n", " grad_fn=)" ] }, "metadata": {}, - "execution_count": 18 + "execution_count": 12 } ], "source": [ - "ode_solver(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7961e-03, 0.0000e+00],\n", - " [9.9999e-02, 8.9641e-01, 3.5868e-03, 1.7949e-06],\n", - " ...,\n", - " [3.3881e-02, 1.5089e-01, 4.4667e-01, 3.6856e-01],\n", - " [3.3837e-02, 1.5063e-01, 4.4653e-01, 3.6900e-01],\n", - " [3.3792e-02, 1.5037e-01, 4.4638e-01, 3.6945e-01]],\n", - " grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 19 - } - ], - "source": [ - "results_test = ode_solver(1000)\n", + "results_test = ode_solver(10000)\n", "results_test" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 13, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" 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\n" }, "metadata": {} } diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb index 7bf1ce03..76ae7e99 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb @@ -50,7 +50,7 @@ }, { "source": [ - "# 4th Order Runge-Kutta - Data Generation" + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" ], "cell_type": "markdown", "metadata": {} @@ -616,14 +616,14 @@ }, { "source": [ - "# Re-calculate using 4th Order Runge-Kutta" + "# Predictions for nt = 10000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -632,7 +632,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -649,7 +649,7 @@ ] }, "metadata": {}, - "execution_count": 11 + "execution_count": 14 } ], "source": [ @@ -658,21 +658,21 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" ] }, { "output_type": "display_data", "data": { "text/plain": "
", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T15:36:15.230563\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T15:53:49.885766\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n 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\n" }, "metadata": {} diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb index e5ed371f..64c6e0d8 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb @@ -50,7 +50,7 @@ }, { "source": [ - "# 4th Order Runge-Kutta - Data Generation" + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" ], "cell_type": "markdown", "metadata": {} @@ -281,7 +281,7 @@ }, { "source": [ - "# Predict using 4th Order Runge-Kutta" + "# Predictions for nt = 10000" ], "cell_type": "markdown", "metadata": {} From f428a79bac276c34793608eeb034ee8a340a95f4 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 16:57:28 -0400 Subject: [PATCH 23/73] Update README.md --- examples/ode/README.md | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/examples/ode/README.md b/examples/ode/README.md index ac9aad93..912acf4f 100644 --- a/examples/ode/README.md +++ b/examples/ode/README.md @@ -1,14 +1,19 @@ -In this folder, we train the ODESolver model on three different ODEs: +In this folder, we train the ODESolver model on three different ODEs. Our goal is to estimate all the parameters here. Lorenz63: ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/7928004d58943529a7be774575a62ca436a82a7f) +Parameters to estimate: $\sigma, \rho, \beta$ + Duffing equation: ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/4881d84893e137772068573bb1218fc1e2b295cd) +Parameters to estimate: $\delta, \alpha, \beta, \gamma, \omega$ + SEIR: +![alt text](https://miro.medium.com/max/1056/1*dXCHv_pSYiMG90efXiFNPQ.png) -![alt text](https://miro.medium.com/max/1056/1*dXCHv_pSYiMG90efXiFNPQ.png) \ No newline at end of file +Parameters to estimate: $\alpha, \beta, \gamma$ \ No newline at end of file From 3d89a9f3101047eefde4ca8ff8ff92c22a39ee02 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 16:58:10 -0400 Subject: [PATCH 24/73] Update README.md --- examples/ode/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ode/README.md b/examples/ode/README.md index 912acf4f..0d9ad007 100644 --- a/examples/ode/README.md +++ b/examples/ode/README.md @@ -4,7 +4,7 @@ Lorenz63: ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/7928004d58943529a7be774575a62ca436a82a7f) -Parameters to estimate: $\sigma, \rho, \beta$ +Parameters to estimate: $$\sigma, \rho, \beta$$ Duffing equation: From dd07a7fe33a71397a8df1dd23821db28072f1f99 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 16:58:27 -0400 Subject: [PATCH 25/73] Update README.md --- examples/ode/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ode/README.md b/examples/ode/README.md index 0d9ad007..912acf4f 100644 --- a/examples/ode/README.md +++ b/examples/ode/README.md @@ -4,7 +4,7 @@ Lorenz63: ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/7928004d58943529a7be774575a62ca436a82a7f) -Parameters to estimate: $$\sigma, \rho, \beta$$ +Parameters to estimate: $\sigma, \rho, \beta$ Duffing equation: From b2a836ab9618d418b2cf14bf0e27bb5eee659843 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 20 Aug 2021 16:59:04 -0400 Subject: [PATCH 26/73] Update README.md --- examples/ode/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ode/README.md b/examples/ode/README.md index 912acf4f..7c28e58e 100644 --- a/examples/ode/README.md +++ b/examples/ode/README.md @@ -10,7 +10,7 @@ Duffing equation: ![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/4881d84893e137772068573bb1218fc1e2b295cd) -Parameters to estimate: $\delta, \alpha, \beta, \gamma, \omega$ +Parameters to estimate: $\alpha, \beta, \gamma, \delta, \omega$ SEIR: From dff1fd97d8443c913c7f7c75a4f24093a5314096 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sat, 21 Aug 2021 13:14:32 -0400 Subject: [PATCH 27/73] Added savemat --- examples/ode/DuffingEquation/DuffingTest_fit.ipynb | 13 ++++++++++++- .../DuffingTest_fitRandomSample.ipynb | 6 +++++- examples/ode/SEIR/SEIRTest_fit.ipynb | 11 +++++++++++ examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb | 11 +++++++++++ examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 6 +++++- .../lorenz63/Lorenz63Train_fitRandomSample.ipynb | 6 +++++- 6 files changed, 49 insertions(+), 4 deletions(-) diff --git a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb index 0ccda33b..a7a6b89c 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb @@ -666,12 +666,23 @@ "plt.show()" ] }, + { + "source": [ + "# Save results as .mat file" + ], + "cell_type": "markdown", + "metadata": {} + }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import scipy.io.savemet as savemat\n", + "\n", + "savemat(\"Duffing_fit.mat\", {\"x\": results_test_np})" + ] } ], "metadata": { diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb index 64792cff..54d9f6d8 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb @@ -361,7 +361,11 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import scipy.io.savemet as savemat\n", + "\n", + "savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + ] } ], "metadata": { diff --git a/examples/ode/SEIR/SEIRTest_fit.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb index 784a8cfc..df78ba4b 100644 --- a/examples/ode/SEIR/SEIRTest_fit.ipynb +++ b/examples/ode/SEIR/SEIRTest_fit.ipynb @@ -688,6 +688,17 @@ "\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io.savemet as savemat\n", + "\n", + "savemat(\"SEIR_fit.mat\", {\"x\": results_test_np})" + ] } ], "metadata": { diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb index 7a75a19d..4f00726a 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb @@ -395,6 +395,17 @@ "\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io.savemet as savemat\n", + "\n", + "savemat(\"SEIR_fitRandomSample.mat\", {\"x\": results_test_np})" + ] } ], "metadata": { diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb index 76ae7e99..ea496f08 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb @@ -706,7 +706,11 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import scipy.io.savemet as savemat\n", + "\n", + "savemat(\"Lorenz63_fit.mat\", {\"x\": results_test_np})" + ] } ], "metadata": { diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb index 64c6e0d8..75dde665 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb @@ -371,7 +371,11 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import scipy.io.savemet as savemat\n", + "\n", + "savemat(\"Lorenz63_fitRandomSample.mat\", {\"x\": results_test_np})" + ] } ], "metadata": { From 2343e4687eb7f5c7c09a5c227fc373f88ab57af8 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sat, 21 Aug 2021 13:42:11 -0400 Subject: [PATCH 28/73] Added .mat results --- Lorenz63_fitRandomSample.mat | Bin 0 -> 120184 bytes examples/ode/DuffingEquation/Duffing_fit.mat | Bin 0 -> 120184 bytes .../Duffing_fitRandomSample.mat | Bin 0 -> 120184 bytes examples/ode/SEIR/SEIR_fit.mat | Bin 0 -> 160184 bytes 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\n" }, "metadata": {} @@ -135,7 +135,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -153,14 +153,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T15:54:52.455444\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:17:28.983779\n image/svg+xml\n \n \n Matplotlib v3.4.2, 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}, "metadata": {} @@ -178,9 +178,11 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": { - "tags": [] + "tags": [ + "outputPrepend" + ] }, "outputs": [ { @@ -578,7 +580,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -598,7 +600,7 @@ ] }, "metadata": {}, - "execution_count": 11 + "execution_count": 10 } ], "source": [ @@ -617,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -634,7 +636,7 @@ ] }, "metadata": {}, - "execution_count": 14 + "execution_count": 11 } ], "source": [ @@ -644,14 +646,14 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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i81nShmm2b9+OlStX4vXXX8d1110X81yr1Qqr1ZqkO4st+qJnwYqGy+uHyag+1/VGmEkDBNcZcfv8cHv9/b5nPHIYGZUuhZGCLOk9bOl0a7oOERFRMiWlMvLaa6/h9ttvx6uvvoolS5Yk41sOGLc38kZ5oUFB64yaSKuvAkC6Nfi5num957oCYSRDCiO5gT87ejxKqCIiIjrfaK6MdHZ24tixY8rntbW1qKmpQW5uLsaPH4+1a9fi9OnTeOWVVwBIQWTFihV4+umncfnll6OxsREAkJaWBrvdPkA/xuCJtjeN0SDAZBDg9YuaZ9REWn0VkAKPxWSA2+tHl9uHnHRt99rWFV4ZyUm3QBAAUZSqJqMDU3218vj8eGlfLdxeP1ZdOVlzxYaIiCgWzU+VgwcPYs6cOcq03DVr1mDOnDl45JFHAAANDQ2oq6tTzn/hhRfg9Xrx3e9+F0VFRcrHfffdN0A/wuBSpvZGeADr3Swv0iZ5Mr3Tez0+Pxy90mvkiojRICjBRA4qevxyzwn8+I9fYmPlEWx671j8FxAREWmguTJy1VVXxdx4bevWrWGfv/fee1q/xXklWBkR+n3Najaiy+0bsGEaQGpiPdft0bwkvLz/jCAA9jSzcjw3w4K2LjfadPaNiKKI/3z/pPL5rz+ow73XTIXB0P/9ICIi0oP19jiiNbACwaEbzcM0gfNtpgiVEXl6r8bKiNy8mpNmDpuhI1dJWnVWRo40daLR0QujQYDZKKCl04XPTnfouhYREVEkDCNxuKKswAro35+mN05lBNARRvr0i8jy5DDS6er3GjU+rG0FACyYnIcrpxUAAP7ydZuuaxEREUXCMBJHtI3ygNCeEX3rjPRtYAWATJ2rsCrTejPCw4hcGdHbM3K4QVr99uJiO2YX5wAAKyNERDSgkr4c/FAjb5QXKYxYEgwjkRpY0y36VmFt65J6RqJWRnSGkS8bnQCA6WOylV6UT08xjBAR0cBhGIlDroz03bVXOqZvf5pgA2v/a2ZY9a3CKldGcjPMYccTqYz4/SKOBMLIjDFZyEmXrn2ytQu9Hl/EMEVERKQVh2niiLZrL6B/aq+yAmuEBla5MtKpsWek7xojstxMaRVWPZWRMx096HL7YDYKKM3PQEGmFVk2E/wicLK1W/P1iIiIImEYiSPa3jRAyGZ5ehc9i9DAKldGtDawOnqkYZrstPDKSF4ClZG6NilwlIxKh9logCAImFSQCQA4cbZT8/WIiIgiYRiJI9bU3kQbWGP1jHR7tFVbnIEFz7Jt4SNvcqVEXodEi1PnegAA40alKccm52cAAE60dGm+HhERUSQMI3HIVY++y8EDIT0jmsOIdH6k2TQZys69GisjvZErI3KfR0ePO+ZidZHIYaR4VHBd+smjpcrI8ebEKiMf1bbh3yuPsMJCRERsYI3F5xfhDzy/Y/WMDOgKrIFFz7RO7ZUrI1l9KiNyGPH4RHS7fcowkBqnzknDNMUhlZEJeVIwqT+nv2fk47pzuPXFD+D1i/j1Byex64G/Ql7m+bFLMxERJR8rIzGE7nQbaW8aS4INrDErIxrDiFIZsYVXRtLMRqWq096jbagmWBkJhhG5SiJ/TY+n/ucovIGU19rlxq/21eq+FhERDX0MIzG4Q8LIQA7TKLNpzP2vqXedkWBlJDyMCIKgVEfOaWxiPR1hmGZcjhRMGh29mitCAHDW6cLeo2cBAOtunAkA2PHxafj82oaQiIho+GAYiSH0YRtpNo28HLzmYZpYu/bqWGdEFMWQ2TT9h2GCfSPqKyMenx8NHVIYKQmpjORnWmA1GSCKUL6uxXtfNUMUgVnjsrFiwQRk20xodPSipv6c5msREdHwwDASgydkWq8gRJjaa9Q3TBNrOXg9lZFej18Z9uhbGQGAnDTtM2qaHL3wi9LPmB/SzyEIgjJso2eoZvcRqSpyzfTRsJqMuGJqPgDgwLFWzdciIqLhgWEkBo9XesBHGqIBQjbK07gCa6yN8jJ07E0j94sYBCAjwjXtgcpIe4/6YZpmp7SxXkGWFQZDeBAL9o1ob2KtqW8HAFw+KQ8AsGByIIwcZxghIhqpGEZiUBY8i9C8CgR7RkJ7S9SIVRmRj2lZ9MwZCCNZNnPECk5OYLqvlspIsyMYRvrSWxlp7XQpr5lVbAcAzJ8shZKP686FNQxr1eP24d0vGnHojEP3NYiIKDU4tTeGWEvBAyGzabRWRgLnx+oZcXn98Pr8MEX53qE6egILnkXoFwGCO/m2d6uvjJztlMLI6IhhRN+MGnmDvUkFGcqsn9K8DGTZTHD2enGkyYkLx9o1XROQKkPf2nwAR5qkNUueuHkW/v7yCZqvQ0REqcHKSAzK6qvRhml0TO0VRVHVCqyA+lVYlcqItX+/CABlt10tlZGzjl4AwOjs/mFknFIZ0TZM88mpdgDAJcU5yjGDQcDFgSrJZzp3A37yna+UIAIAj//+EGq5QiwR0ZDBMBJDrKXgAX3LwYeeG6lnxGoywBjo0ehR2Tfi6I1dGclRekY0DNM45cqIrd/X5Om9Z9p7VV8PAI4GVm2dWZQddvyicTkAgE90hJHWThe2H6wHALx61zwsmpoPt8+Pze8d03wtIiJKDYaRGILDNP37MAB9K7CGBgxbhJAjCEJwRo3KvpHQnpFIgrNptDewRhqmCV1rxKuhz+PEWalaMakgI+z47EBl5NNA5USL16tOwe314+JiO+ZPzsP9100DALxVfQYdOvbjISKi5GMYiSG4Y2/sBlYtlRF5iMZiNETtB9G6CqtD7hmJEkZGpetoYHVKVY9IDayjs6wwGwX4/CKaAqElHr9fxNeBoZPS/PAwMmucFEaONDk1N7H+8fNGAMDyy0ogCAIuHZ+D6YVZcPv82Pl5g6Zrhfqy0YH7f1ONf3jloDIdmYiIBgfDSAwenzS1N3oY0d4zIocRa4TVV2Xy/jTaKyORh2nseoZpHNGHaQwGAWPs0vEz7eqaWJucvejx+GAyCCjJTQ/7WvGoNGRZTfD4RKV6ou4ee/FJYKrw9TMLAUiVpZvnjAMAvFV9WvW1Qn12qgO3bDqAt2rOYNehJty25SP8V2AoiIiIBh7DSAxxe0Z0rMAaa18amebKSJQde2U56dIwTUe3R9XOvT6/iBZ5Nk2EBlYgOFRzWuWMmtpAyBifm94v3AmCgOljsgBIFQm1/vfLZgDA7JIcjM4OhqZvXFwEADh48pzmoRqX14cH/qsGXW4fLps4Cn8TCDY/eutzHG1yaroWERGpwzASgxwyos2msRi1D9MoYSRC86pM6yqs8r402VEqI/I6I26fX6nMxNLa5YJfBAQByAtMC+5rrBxGVFZGjkcZopHNKJLCyOEG9Q98eaG0q6cXhB0vyU3HtMJM+Pwidh/VNsTyX3+px7HmTuRnWvHiinL87G9n48ppBXB7/Xjivw9rulaoY82dePD1T3DL5gN45Hef61owjohouGIYicHti9PAatY+m6bHLZ0bqzIihxG1+9Mo+9JE6RlJtwR37j2nolIgD9HkZVij9rUUawwjcmUkahgZI82w+UplZUQURXxUK4WReaV5/b5+zQxp2OZPh5tUXQ+QKmHP7z4BALjv2inISbfAYBCw/qYLYTYK2H3kLN7XsVLs7iNnseSZvXij6hSqTp7DK++fxI1P79V1LSKi4YhhJAa1U3s1zaaJscaILD2w8JnayohD2bE3cmVEEIRg34iKGTVnY8ykkY1VpveqDCMt0rTeSQWZEb8+s0geplFXGalr60aTwwWzUcCc8Tn9vn7tzNEAgPeOnFU946fyUBNOt/cgP9OCvy0vUY5PzM/A8sukz5/ffVzVtWSnznVj1X9WweX1Y8HkPGxcNhuXlOTA0evF/3vlIL44o29tlQPHW/D/XjmIhT/+E2749z3Y8MfDyn83IqKhhiuwxqB6BVYdDayxe0YClRGVPSPOOD0jgDRUc9bpUtVDIc+kidYvAgQXPlPdMxJnmGZaoRRGGjp60d7tVvpcovmotg0AcHFxTsRgN6ckB/Y0M9q7Paipb0f5xNy49/hG1SkAwLLykn7X/IdFk/Hqh3XYfeQsDp1x4IKx2ZEu0c/jvz+EHo/Uf7L1jrmwmAy48aIi3P7yR/jgRBtWb/sYf/jeFVGnZffl9UnDRVsPfB12/KsmJ179sA4//puLsSTQM6NFfVs3/vBpA7440wGvT8SE/HRcM3005pbmRtxigIhoIDGMxBB/BVZj4DwRfr/Yb0O5SHqVykiM2TRKA6vKykhP7MoIoG3hs+BMmviVkdPtPRBFMeYDy+31oz4QWvquMSLLsplRPCoNp8714MtGp7KRXjRyGJlbGjlkmIwGXDmtAG9/cgZ/+rI5bhhpdvYqU3hvKSvu9/Xxeem48aIi/OHTBryw5zie/rs5Ma8HAH/6sgm7DjXBZBDwr//nIiW82sxGvPD35bjxmb042dqNf37rc/z78kviPvRFUcTaNz/D64HQ9O1543HznHE463Rh03vH8PlpB7776sf4qnEK7r9umqp/j26vH5vfO45n/3xUmT0me2H3CVxQlI17r52KGy4sVB1KWjtd2FF9GgeOt+KrRiecvR7kpFswZXQm5pXm4q9njcGEvMj/DqLpcnnx6akOnDrXjY4eD0wGAbmZVpTmZWDy6AzlfzNadbu9aHG6IQjSLx15mZaov3wQ0eBhGIlB7dReQOovsRmiVztkahpYM5SpvRorIzF+u5YrDefUDNN0Rp/WK5Nn03S7fejo8cSsZNS1dcPnF5FuMcYMODPGZEthpMERP4x8HQgjMULGNTNGK2HkB389I+b1fld9Bj6/iDnjczA5ylDSqisn4w+fNuAPnzbgwYrp/aYoh+r1+PDo218AAO68olSp/Mjs6WY8/XeXYPkvP8BbNWdwxdQCfCtCCJKJooh//e/DeL3qFAwC8Iv/e2lYBaTigkL85J0v8eLeWjzzp2M43tKFn//t7JjDgTX17finNz7FV4FZQnNLc3HdzNGwmoz45FQ73vm8EYcaHFj16ypcXGzHgxXTsWhqftRQ8kl9O/7j/a/xh08b+g1dOnq9qGvrxp++bMaGP36JS0py8I2Li1BxwRiMz+v/PvZ6fKiua8f7x1tw4Hgraurb4fVHngkmCMCE3HTMLMrGjDHZmFGUhZljslE8Kg0Gg4BOlxenz/Wgrq0bX7d04URLF75u6UJtSxcaHb39rpWXYcXYHBvG2tMwNicNY3NsGJeTpqy54/OLONftQUunC2edrvA/O6XqowhAgPS/81HpFuRmWDAqwwJ7mhk5aWbYAx8Gg7Rej88vwuX1o9fjUz56PD70eqSmc1fI5z6/CKvJAKtZ6gWzmg3S5yYDrCYjLIG/GwQBXr8fXp8It0/60+v3w+0V+xyX/lsZDQaYjQJMRgPMBgGmwN9NBgEmgwEmowC/X4RfBPyidM9+UQz5u7SekE8MnmMQBBgFwCAIMBgEGAUBBoP0udEgQADgFwERIkQREAFIE/5E+P39j4sI/hsQIED+pygE/tvJx2Xy+fIkwtB/QcFj8WcYRvx3F/J9Qu+j77FoYk1sjHVHKiZExhTrvr49bzzmjB+V2DfQiWEkBmU2TZSekdDjLo8/5v/xy+QVWGP2jGiojHh9fnQFrhmzMqJhfxq59yDSgmcym9mI/EwLWjrdOHWuJ2YYCR2iifXb9cyiLPzP4Sbl4RhNs7MXJ1u7IQjApROi/w/nymkFMAhSH8qZ9h6lmtOXKIr47cdStSFWIJg1zo4rpuRj37EWvLSvFo/ddGHUczf9+Rjq23owJtuG+66dGvGc8om5eOC6qfjZriN45HefxwxCm947jl/tqwUA/PiW/kMxJqMB65ZcgKmFWVi34zP896cNOH2uBy+uKO/337Hb7cXGXUewZX8t/CKQm2HBYzddiKUXF4X99/nnJW68tK8WW/bX4tNTHVix5SPMK83FqisnY96kXKSZjTjT0Ys9R87iNx/VhS3nf3GxHTfNHotLSnKQk27GuW4PPqlvx+4jZ7H/WAtq6ttRU9+OJ/77MCYVZGDGmCzY0yxweXw42daNz0539As043LSMKkgA7kZFnh9Ipocvaht6UJrlxtft3bj69ZuZRE8ADAaBIiBB2MsNrMBAgS4fX5lWntLp0vZ2DERjl4vmhzs5aGh4a+mFTCMnI/ircBqMggwCFKyl/pG4o/7a+kZ6VLRM9IZsjBarL4DeZimQ8UwjRxG8jOjhxFAGqpp6XTjTHuPsopqJCfOxm5elclrjcSb3vvxyXPS+YVZyiaAkYzKsGDO+FGoOnkOf/6qGd+eF3kn38MNTnzZ6ITFZMA3Lhob83vffeUk7DvWgu1/qcd9105VdkQOVdvSpczKeWTpBcpOzJH841VTsP9YK94/0YrvvVqNN1cv6BdU/+PA13jy3a8AAD9aMhPLQppr+1pWXoKSUelY9esq1NS3Y+kv9uGhG6aj4sJC+Pwi3vm8EU//71E0dEgVgf8zZxz++RsXIDfCzzEqw4IHb5iO2xdOxOb3juM/PziJD2vb8GFgiMwY+K1eZjEasOTiIty2YCIuKcnpd73LJubirkWT0Ozsxc5PG/DOF434y9fncOJsV8TF7gqyrJg/KQ8Lp+RhweT8qJWos04Xvmp04stGR+C/pQNHmzqV//0C0r//4lFpmJiXgUn5GSgtyMDEvAyU5mcoQdrvF9HW7UZjRy8aOnpxpr0HZ9p7cDrwZ2uXGwKk3+rt6WbkZ1qRn2lFQVbgI9OCgiwrctItym/8vR4f2rrcONftRmunGx09HnT0eODo8aC9R1r3x2gwwGiQhn1tZgPSzEbYwj5Cj0kVD7fPD5fHD5fXD7fXB5dX/rsfrsDnPr8IszG82mEOrPxsNsp/F2A2GAABSuXE4xPhC/wpH/MGqjdCoMphDFQ6DAJC/i7AGKh6GASpauEXpbDvC6mohFZP5CFeubIhVzsMApRgLB+Xjkn/PSNVS5RKR4Rh475Vk0iVDK0iVVmk42LYcbUtV4KKu0m0fSteVWXmmKzYJwwihpEYPHIDqynyvwBBEGA1GaUyqsoZNWrCiDybplvFCqxyv4jNbIhawQGCwzRqZtPIC57FqowA0m+qn57qiDu9N17zqiw4vdcZswenKhBGYlVFZFdPL5DCyJfRw8hbNdJKrdfOGK3MOormiin5uKAoG4caHPjPD07i3j5VD1EU8cjvPofb58eiqflYPGtMzOsZDQKe+rtLsPjpvTjU4MA//roKm/++DDazEaIoYsv+r/EvfzgEAPjeNVNw16JJcX/m+ZPzsGP1Aqz8j4OobenC91//BHg9/JziUWn4l2/OwtUzRse9Xn6mFf/8jQuw8opSPL/7OP7nUBPOdPQqD6fZxTmouLAQy8pL4gZYQBr+u31hKW5fWIr2bjeq69px/Gwnut0+mIwCSkZJQy6TC2JX0mRyGLhiar5yzOvz42ynC0ZBQLrVhMwYgVBmMAhKwIgVrolo4GkOI3v27MGTTz6JqqoqNDQ0YMeOHbj55ptjvmb37t1Ys2YNvvjiC4wdOxY/+MEPsGrVKr33nDRyA6s1RkObxWTQFEZ6VQ3TqK+MOFT0iwBQKghq1hlp6ZQCS35m7Bktaqf3ngiEkUlxwsjEvHTYzNL7WdvaFXXI4uO6dgBAmYpy4tUzRuNnu45g/7FW9Hp8/d53n1/E7wJhRF5GPhZBEHD3lZNw329q8NK+Wvz95RPCqgpvf3IGe4+2wGI04PFvzlL1MC3MtmHTty/F7S9/hD9/dRY3PrMXN84qwsd155SF3VZeUYo110+Ley3ZpIJM7Lx3Ebbsr8V/HazHydbuwPEM/N1lJVgxf6KqYcVQY3PS8Pg3Z2H9TRfC0etFt9uLvAxrzBAcT066BVfPGK0qFGlhMhpQZI88LEdE5x/N/y/S1dWF2bNn49lnn1V1fm1tLW688UYsWrQI1dXV+OEPf4h7770Xv/3tbzXfbLLFG6YBtO9P0+sJLHoWq4FVQ8+II86+NLJRIUvCx9Lj9ilDP/kqKiNA/IXP1FZGTEYDZhZJ1ZHPT0cer3d5ffgsMJZfpqIyckFRNsZk29Dj8eGDE/0XGfvgRCuaHC7Y08y4qs9KrtEsuagIM8ZkoaPHgw07g6uyNnT0YP3vpSrGPddMifvzhrp8Uh5evn0u8jOtOHG2C8/++RgOHG+F2SjgR0tm4kdLZmqeYptmMeK7V0/B7oeuxufrb8Dn62/An75/Ff7hryZrDiKhBEGAPc2MIntaQkGEiEimuTKyePFiLF68WPX5zz//PMaPH4+nnnoKADBz5kwcPHgQP/vZz3DLLbdo/fZJ5fYGZtPE+D9crauwqlr0TMMKrJ3KgmexKyNyz0i82TTyEI3VZEBWnNJ2cHpvb9RznL0epQelNMq03lAXjbOjuq4dn53qwDcv6V+p+Py0A26fH3kZFkyIMAujL0EQcPWMArz2UT12HWrCVdPDfwP/bWCa7JKLi5Sp2vGYjAY8cfMsfOv59/F61SlMKsjE9RcU4p5XP0Zblxszi7Kx6srJqq4Vav7kPPzvmivxZvUpHGlyYkx2Gv7m0nExZ+2opWaYgogoVQb915r3338fFRUVYcduuOEGHDx4EB6Ptk3Mks2jojIir0GidhVWVQ2sGlZgdcZZfVU2SpnaG/s9l6f15mda4/4mXqxi4TO5KpKfaY07lARIYQQAPotSGfk4pF9EbaVgSaAp9fefnFGmVgNS8PrDpw0AgL+NMYsmkvKJufh+YNjkJ+98ies27saXjU7kZ1rwy++U6a4Y2NPNuGNhKTb8zcW477qpAxJEiIjOd4MeRhobG1FYWBh2rLCwEF6vFy0tLRFf43K54HA4wj5SId5y8EBw4TPVPSPKOiOxFj1TvwKrU+UwjdzXcK7bHXPn3hZ5Jk2cIRogWBlp6XSFPeRD1arsF5FdVCyFkS/OOOCPMCdTbl5VM0QjWzA5D8Wj0uDs9WLnZw3K8Vc/rIPb58fsYruu6Wz3XDMFjy69AKMCVaeFU/KwY/VCBggiIo2SMuDb9zdY+WEY7TfbDRs2wG63Kx8lJdGnMg6m4K690X8DV4ZpVOyGCwTXGVFTGel2+2IGByCkMmJVN0zj84vKXjaRyM2rBXGaVwFgVLpZ+TnkqaJ9nYizQV5fUwoyYTMb0OnyorY1fLqn3y/iL4HFzrSEEYNBwN8F9pbZ9N5xeH1+nOty48W90vTbO68oVX2tUIIg4I6Fpaj60fX48l/+GtvuupxBhIhIh0EPI2PGjEFjY2PYsebmZphMJuTlRV5lc+3atejo6FA+6uvrB/s2I9LSwOpWuRlbb6DR1aqiZ0RelTEWp0vdMI3NbFTWLznXFb1vRM2CZzJBEDA2R1qlNdqMGnkmjZp+ESC8ifXTU+1hX/uqyYnWLjfSzEbMLs5RdT3ZigUTkZNuxrHmTjzx34fx/dc/gbPXi5lF2Vh6cey1ReIxGISEGkKJiEa6QQ8j8+fPR2VlZdixXbt2oby8HGZz5N/mrVYrsrOzwz5SQc0wjUUepvGo7BlRURkJ3Wcj3lCNU2UDKwBlga62GE2sLZ3qFjyTjRslVQKi9Y0cb5YWPIs2TTeS8kDV48MTbWHH9x+ThvUuK83V3JORbTPjR0suAABsPfA1/vRlMyxGA378Nxep2sOFiIgGj+Yw0tnZiZqaGtTU1ACQpu7W1NSgrq4OgFTVWLFihXL+qlWrcPLkSaxZswaHDx/Gli1b8NJLL+HBBx8cmJ9gEMXbmwYIndqrtmckMLU3RhgxGgRlI72uOAufqe0ZAYJ9I22dAxhGYkzv9fvFYM+IysoIACyYLC1eJa+xIZM/Xzg59r410XyrrBhP3DwL4wP7mLx8x2WYHWGlUCIiSi7N8/0OHjyIq6++Wvl8zZo1AIDbbrsNW7duRUNDgxJMAKC0tBQ7d+7EAw88gOeeew5jx47FM888c95P6wVCe0ZUDNOoXGekR8VGeYBUHen1uDVURjSEERWVETXDNAAwLjBMEymMNDp60ePxwWQQMF5DL8VlpbkwGQTUtXWjvq0bJbnp6HJ5lcrIoqnq1gOJ5O8vn4C/vzzySqxERJQamsPIVVddFbOpcuvWrf2OXXnllfj444+1fquUUzW1V2NlRM0wDSD1jbR1xZ/eG6yMxB+myZWn96roGVE/TBN9FdbjgT1pxuela9qWPdNqwpzxOfjL1+dQeagJd15Rij9/1QyX148JeemYWZS6/ROIiGjgcfnEGNwDPLVXFMWQBtbYb72yCmuchc+0VEbU9YyoWwpeNtYefZhGnkmjpV9E9o1AU+mOammp9tcPSouT3XhRkeaVSImI6PzGMBKDPExjjjW1V8Ny8C6vX9k1MW5lxCqvNRKvMqJ9mCZaZaTXo34peJlcGWlo7+23Lkhwt171/SKyb1xcBJNBwGenO7D5vePYfeQsBAH4v5eN13wtIiI6vzGMxKBmmCbYMxK/MhK6MFi8qaDB/Wlih5xOl4bZNIFhmrauyKuwykM0apaClxVm22A0SFuaNznD1xo5LldG8rVXRvIyrbh1nhQ8fvLOlwCAmy8Zh/EqloAnIqKhhWEkBnk2jTXmMI36nhG5edVsFOL2UAR37o1eGfH5xZAwoqYyEnt/Gi1LwcvMRgMmBgLC0aZO5bgoijjcIK2cO32Mvh6PB2+YrkzznV1sxyPfuEDXdYiI6PzG3bNi8HhVVEbM6tcZkZtX1SyQpazCGqNnpDNk2q+qnpE4DaxaloIPNX1MFo6f7cKRJif+apo00+Ws04XWLjcMgv4wkm0z4/VV89HS6UZ+poW9IkREwxQrIzG45GGaWIueGdWvwKpmx16ZmsqIPJPGYjKo2nE23tTe4FLw2sLItEIpbHzV6FSOfRGoikwuyEx4u/qCLPWVGiIiGnoYRqIQRTGkZ0TF3jQqGljVLHgmC92fJprgvjTqClzybJqOHg+8EcJTcCl4dTNpZNPlMNIUDCOHzkhh5IKxqVk9l4iIhg6GkSh8flGZ+WI1Rg8PSs+IimEaZcdeFWFEPifWCqxa+kUAICdN6hkRRSmQ9NXokBpQC7Ntqq4nmxYYhjnS5FRCjryvzAVFDCNERBQbw0gUocMuZlOsqb3GfudHo/SMxFl9FQAylKm9sSoj6hc8A6RN6OyBQNIWoW+kKRBGxmgMIxPzMpBlM6HX48fhBidEUcRfvj4HACifmKvpWkRENPIwjETh8QbXzFC1AquaBlalMhL/bZc3y4tVGdGyxohMXuZdHpIJ1dgRqIzYtYURo0HAZYHQ8WFtK441d6Ktyw2b2YCLxtk1XYuIiEYehpEoQisdphi7umpZ9KxHwzCNXBnp8US/rkNHGBkdCCN91wQB9FdGAGBeqRRG9h9rwf8cbgYAXDZR++66REQ08vBJEYUnZCn4WDM5tCwH79I0m0ZNZUTbMA0Q7AdpdoRXRlxeH1oDQzdae0YA4NqZhQCA946cxfO7jwMAFs8q0nwdIiIaeRhGolCzYy8QHKZRswKrpsqIihVYOwOVkUyVs2mAYGWkuc8wjRxOLCYDRqWrDzeyKaMzUT5hlNIcm2U1YclFDCNERBQfw0gUaqb1AhpXYHVL56hpYJX3pom9zoj0tWwdPSPykIysSZlJo39Nj/XfvBD2NDNMBgGP3nQh7DpCDRERjTxcgTUKNTv2AtrWGdFVGYmxAmtCwzR9KiNNgcqInn4R2YVj7fjwh9ei1+NDTrq2tUqIiGjkYhiJwq1iKXggOIyjpjKiZZ0RdSuw6m9gbe5TGdG7xkhfNrMxoRVXiYho5OEwTRTyJnnxekaUvWk0hBGbqqm9xsBr/PD5xYjnBMOI+srI6CiVkTPtPQCAIo3TeomIiBLFMBJFsGckThgJaWAVxcihQaZlb5qMkKbU7ijVEafGFViBYGWk2+0L22ivvq0bAFCSm676WkRERAOBYSQKtT0joV+PtwqrvAJrmooGVqvJAHl5k2gzauSekUwNYSTDalLCi1wNAYA6hhEiIkoRhpEogj0j6mbTAPGHarQ0sAqCEHd6r57ZNABQMkoKHHI1RBRFnDrXE/Y1IiKiZGEYiULtME1oT0m8JeG1NLACIdN7Iyx85veLcAQqI9lp2qbQTsiTAodcDTnX7VGGbIpHpWm6FhERUaIYRqLwqBymEQQh2DcSb5jGo36jPCC4mJlcAQnldHmVXYXtGsPI+NzwMCJXSEZnWTkThoiIko5hJAp5o7x4s2mA0M3yYq810huonNhM6h74csVDroCEcvRIx2xmg7IkvVpyX4gcQo6f7QQg7b5LRESUbAwjUbhUDtMA6ven0dLACgSn7EaqjHQEwojWqggQrIycbJXCyJEmKYxMH5Ol+VpERESJYhiJwiM3sKrYddaqcn8arT0jcmOqXAUJJYeRnDTtK51OKpAqIF+3dsHl9eFIkxMAMK0wU/O1iIiIEsUwEoXSM6KqMqJuFVYts2mA2JWR9m79lZFxOWnISTfD4xNxtKkTXzY4AABTC1kZISKi5GMYiULZtdcUf9M4pWckxv40oiiGNLCqe9uz0wKVkQg9I3JlROtMGkBqup011g4AqDzUhDMdvTAIwKxxds3XIiIiShTDSBRqp/YCIUvCx5ja6/b5ldkvamesZCuVkehhRE9lBAAuLpaCx9P/exSAtMldppVbFRERUfIxjEThVrk3DQBYjfGn9va6g1/T3jMysA2sAHDtzNFhn181vUDXdYiIiBLFMBKFUhlR08Bqjj9M0+2RAoXZKKiqtgCxp/YqDazp+sLInJJRmBGYPWMxGbCsvETXdYiIiBLFunwUweXgNTSwxhimkaf1allUTN5DJlIDqyPByojBIODFFeV49aM6XDEln3vSEBFRyjCMRBGcTaO+gTXWMI3WmTRAsGckUmWkvccNQH8YAaTFz/7pr2fofj0REdFA4DBNFGp37QVCFj2LURlR1hhRueAZMHiLnhEREZ1PdIWRTZs2obS0FDabDWVlZdi7d2/M87dt24bZs2cjPT0dRUVFuOOOO9Da2qrrhpNF1zBNjJ6RnkADq6bKSFpw0TNRnooTkMjUXiIiovOJ5jCyfft23H///Vi3bh2qq6uxaNEiLF68GHV1dRHP37dvH1asWIGVK1fiiy++wOuvv46//OUvuOuuuxK++cGkaWqvihVYu91SdUNLZUQepvH6RWVfG1lHd2INrEREROcLzWFk48aNWLlyJe666y7MnDkTTz31FEpKSrB58+aI53/wwQeYOHEi7r33XpSWluKKK67A3XffjYMHDyZ884PJI0/tVTFMY1GxAquenpF0ixFGg9SzEto34vX54XRJ4SaHlREiIhriNIURt9uNqqoqVFRUhB2vqKjAgQMHIr5mwYIFOHXqFHbu3AlRFNHU1IQ33ngDS5Ysifp9XC4XHA5H2EeyaVsOPv5GeVr3pQGklVKzIuxPc67bA1EEBAHISde+Nw0REdH5RFMYaWlpgc/nQ2FhYdjxwsJCNDY2RnzNggULsG3bNixfvhwWiwVjxoxBTk4OfvGLX0T9Phs2bIDdblc+SkqSvwaGS1fPiIqpvRqGaYBgg2p7SBhp65Jm0oxKtyiVEyIioqFKVwOrIIQ/AEVR7HdMdujQIdx777145JFHUFVVhXfeeQe1tbVYtWpV1OuvXbsWHR0dykd9fb2e20xIsGdkYPam6fFob2AFgNwMqfIhBxAAaO10AQDyMlgVISKioU/TOiP5+fkwGo39qiDNzc39qiWyDRs2YOHChXjooYcAABdffDEyMjKwaNEiPPHEEygqKur3GqvVCqvVquXWBpxH09ReNZURqccjXWNlJC9SGAn8PZdhhIiIhgFNlRGLxYKysjJUVlaGHa+srMSCBQsivqa7uxsGQ/i3MRqlB3Lf6arnE2XX3gHaKE9PAysgDcUAUSojmQwjREQ09GkeplmzZg1+9atfYcuWLTh8+DAeeOAB1NXVKcMua9euxYoVK5Tzly5dijfffBObN2/GiRMnsH//ftx7772YO3cuxo4dO3A/yQCTZ9Oo2ZvGomKjPDmMaFkOHgByA4GjtTMYRtpYGSEiomFE83Lwy5cvR2trKx5//HE0NDRg1qxZ2LlzJyZMmAAAaGhoCFtz5Pbbb4fT6cSzzz6L73//+8jJycE111yDn/zkJwP3UwwCTYueyRvleVQseqZ7mMalHJOHafIyUjuURURENBB07U2zevVqrF69OuLXtm7d2u/Y9773PXzve9/T861SZqCn9vYEdu3V3sAqBY627uBsGrlKwmEaIiIaDrg3TRTBvWk0bJSnYmrvQFRGOExDRETDCcNIFJ6B3ptGZwOrMrU3pGek2dkLACjI5DANERENfbqGaUYCLcvBq5ram+A6I61dbmX2UUOHFEaK7GmarkVERHQ+YhiJQBRFZZhGXWVEChixhml6dQ7TFGRJ1Q+X1w9Hrxd+v6iEntHZrIwQEdHQxzASgVwVAdSFETUb5XUHGli1Tu21mY3IzbCgrcuNM+09yvG8DIvmaxEREZ2PGEYi8ISsF6JuNo2KnpHA1F6tK7ACwNgcmxJGDIFl9wuzbZqvQ0REdD5iA2sEYWFETc+IOTibJtqqsnp27ZXJvSFnOnqVfpExdoYRIiIaHlgZiUDu/TAIULUrrjWwvL1fBLx+sd/meqIoBmfT6KiMjMsJhJH2Hvj8UtgZn5uu+TpERETnI4aRCLQ0rwLByggg9Y30fZ3HJyohQk+fx9gcqQpy+lwPugONsJMKMjRfh4iI6HzEMBKBlmm9QHhficvjQ6Y1/G2VFzwD9A3TTMyTgsfR5k6lL2VSfqbm6xAREZ2PGEYi0LIUPAAYDALMRgEenxhxszx5iMZkEFQHnFAzi7IBAIcbHMoxVkaIiGi4YANrBFo2yZMp+9N4oocRPVURACgelYaskGrL6CwritjASkREwwTDSARKz4iKfWlksVZhlYdpbDqaVwFAEATMLc1VPr+sNBeCoP7eiIiIzmcMIxHI+9KoHaYBYm+Wl2hlBAD+trxE+fvykL8TERENdewZiUDrbBog9sJnyo69CYSRv541Bi98pww2sxF/Na1A93WIiIjONwwjESgNrBqaTZWekQiVkW63tBR8ujWx5dtvuHBMQq8nIiI6H3GYJgK3NzC1d4CGaboCYSTDwuxHRETUF8NIBJ4BHqbpcknHMhKsjBAREQ1HDCMRKFN7tQzTmKPPpulmZYSIiCgqhpEIgoueqZ8+awv0jISutiqTKyOJ9owQERENRwwjEehpYJU3wOuOGEZYGSEiIoqGYSQCl44VWOWgIa8pEqrLLfeMMIwQERH1xTASgbxRnpYwIg/ByFWQUMrUXp0rsBIREQ1nDCMR6BmmSY85TMPKCBERUTQMIxEoU3sN6htY0wPDNHIVJJRcLWFlhIiIqD+GkQjkqb1aKiMZgaDRFaEywqm9RERE0TGMRODSEUbSA0Mw3RF6RtjASkREFB3DSAR6VmCN1TMiBxSuwEpERNQfw0gE+oZp5J6R/mGkU+kZYWWEiIioL4aRCIIrsGqvjHT1aWAVRVEJKKyMEBER9ccwEoFb19TewKJnfSojbp8fXr+0bgl7RoiIiPpjGInA7ZXCg6bKSJRFz7pdwXCSbmZlhIiIqC9dYWTTpk0oLS2FzWZDWVkZ9u7dG/N8l8uFdevWYcKECbBarZg8eTK2bNmi64aTwa2jgTVaz4jcL2I1GWDScD0iIqKRQvO4wfbt23H//fdj06ZNWLhwIV544QUsXrwYhw4dwvjx4yO+ZtmyZWhqasJLL72EKVOmoLm5GV5v/ymw5wu3VwoUejbK8/pFuL1+5bXdnNZLREQUk+Yn5MaNG7Fy5UrcddddAICnnnoK7777LjZv3owNGzb0O/+dd97B7t27ceLECeTm5gIAJk6cmNhdDzJde9OErK7a7fbCYrIACJ1JwyEaIiKiSDSNG7jdblRVVaGioiLseEVFBQ4cOBDxNW+//TbKy8vx05/+FOPGjcO0adPw4IMPoqenJ+r3cblccDgcYR/JJE/ttWqojJiNBqUaEroKq7PXAwDItpkH8A6JiIiGD02VkZaWFvh8PhQWFoYdLywsRGNjY8TXnDhxAvv27YPNZsOOHTvQ0tKC1atXo62tLWrfyIYNG7B+/Xottzag9Cx6BkjVD7fXj56Q6b3OXunvWTYO0xAREUWiq6NSEMI3kBNFsd8xmd/vhyAI2LZtG+bOnYsbb7wRGzduxNatW6NWR9auXYuOjg7lo76+Xs9t6qZn0TMg2MTaFTKDxiFXRtJYGSEiIopE06/r+fn5MBqN/aogzc3N/aolsqKiIowbNw52u105NnPmTIiiiFOnTmHq1Kn9XmO1WmG1WrXc2oDSs84IEHnhM1ZGiIiIYtP0tLVYLCgrK0NlZWXY8crKSixYsCDiaxYuXIgzZ86gs7NTOXbkyBEYDAYUFxfruOXBJ1dGzMbI1Z5o5BkzYZWRHvaMEBERxaJ5mGbNmjX41a9+hS1btuDw4cN44IEHUFdXh1WrVgGQhlhWrFihnH/rrbciLy8Pd9xxBw4dOoQ9e/bgoYcewp133om0tLSB+0kGkFwZ0dLACgSHYuQAAgQrI9msjBAREUWk+Qm5fPlytLa24vHHH0dDQwNmzZqFnTt3YsKECQCAhoYG1NXVKednZmaisrIS3/ve91BeXo68vDwsW7YMTzzxxMD9FAPM49XXwCoHDrlPJPTv7BkhIiKKTNev66tXr8bq1asjfm3r1q39js2YMaPf0M75TG/PSLAy0r9nhMM0REREkXF98j5EUdS16BkQDBxhlZHAkA0bWImIiCJjGOlDrooAeiojgWGaSD0jHKYhIiKKiGGkD7kqAmjbtReIUhnpZWWEiIgoFoaRPuRpvYD2MCIHDvaMEBERqccw0occRkwGAQaDtnVGlAbWQDXE4/MrG+VxmIaIiCgyhpE+9O5LA/QfpjnX7QYAGATAzjBCREQUEcNIHy6d+9IAgD0tfJimrUsKIznpFhg1VlmIiIhGCoaRPgaiMuLs9UAURSWM5GZYBu4GiYiIhhmGkT7knhGtS8EDwb4Qvwg4er3BMJLOMEJERBQNw0gfwcqI9mEVm9mIzMBmeS2dLpxjZYSIiCguhpE+3An0jABAQZYVANDidKE1EEZGMYwQERFFxTDSh0vnvjSy/EwpeLR0upXKSB7DCBERUVQMI33o3bFXlp8pVUbOOnvR7HQBAPIyGUaIiIiiYRjpQ9mxN8Ew0tLpxpmOXgBAkT1tYG6OiIhoGGIY6cOT4DCN0jPS6UJjRw8AYGyObWBujoiIaBhiGOlDaWDVWRkZHQgj9ee6lWGaMXaGESIiomgYRvpwB3bt1dszMiEvAwDw/vFWiKIUavIzrAN2f0RERMMNw0gfiU7tLc2XwohfDH6udcM9IiKikYRhpI9Ew0hhthVpZqPy+ZTCzAG5LyIiouGKYaSPRPamAQBBEDC7xK58ftE4e4yziYiIiGGkj0T2ppFdN7MQACAIwb8TERFRZKZU38D5JpG9aWQr5k+E2+fH5IJMTBnNYRoiIqJYGEb6cCXYMyK/dvVVUwbqloiIiIY1DtP0kWjPCBEREWnDJ24fic6mISIiIm34xO0j0b1piIiISBs+cftIdG8aIiIi0oZP3D4S3ZuGiIiItOETt49E96YhIiIibfjE7cPt9QHgMA0REVGy8Inbh4eVESIioqTiE7cPV6AyYjXzrSEiIkoGPnH7GIi9aYiIiEg9XU/cTZs2obS0FDabDWVlZdi7d6+q1+3fvx8mkwmXXHKJnm+bFC4ljBhTfCdEREQjg+Ywsn37dtx///1Yt24dqqursWjRIixevBh1dXUxX9fR0YEVK1bg2muv1X2zyeDysDJCRESUTJqfuBs3bsTKlStx1113YebMmXjqqadQUlKCzZs3x3zd3XffjVtvvRXz58/XfbPJoPSMMIwQERElhaYnrtvtRlVVFSoqKsKOV1RU4MCBA1Ff9/LLL+P48eN49NFHVX0fl8sFh8MR9pEsHKYhIiJKLk1hpKWlBT6fD4WFhWHHCwsL0djYGPE1R48excMPP4xt27bBZDKp+j4bNmyA3W5XPkpKSrTcZkKUMMLZNEREREmh64krCELY56Io9jsGAD6fD7feeivWr1+PadOmqb7+2rVr0dHRoXzU19fruU3NvD4/fH5pnREO0xARESWHulJFQH5+PoxGY78qSHNzc79qCQA4nU4cPHgQ1dXVuOeeewAAfr8foijCZDJh165duOaaa/q9zmq1wmq1arm1ASHv2AtwmIaIiChZNP36b7FYUFZWhsrKyrDjlZWVWLBgQb/zs7Oz8dlnn6Gmpkb5WLVqFaZPn46amhrMmzcvsbsfYPJMGoDLwRMRESWLpsoIAKxZswbf+c53UF5ejvnz5+OXv/wl6urqsGrVKgDSEMvp06fxyiuvwGAwYNasWWGvHz16NGw2W7/j5wO5X8RkEGA09B92IiIiooGnOYwsX74cra2tePzxx9HQ0IBZs2Zh586dmDBhAgCgoaEh7poj5ytO6yUiIko+QRRFMdU3EY/D4YDdbkdHRweys7MH7fscaXKi4t/3IDfDgo//+fpB+z5EREQjgdrnN0sAIbj6KhERUfLxqRvC7eMwDRERUbLxqRsiWBnhtF4iIqJkYRgJIc+m4bReIiKi5OFTNwRn0xARESUfn7ohuC8NERFR8vGpG4I9I0RERMnHMBLC5ePUXiIiomTjUzeEy8OeESIiomTjUzcEZ9MQERElH5+6IZQGVvaMEBERJQ3DSAhO7SUiIko+PnVDKLNpOLWXiIgoafjUDcFhGiIiouRjGAnh9nJqLxERUbLxqRuCPSNERETJx6duiODUXg7TEBERJQvDSAgXh2mIiIiSjk/dEMoKrJxNQ0RElDR86obgbBoiIqLkYxgJweXgiYiIko9P3RDyME2amZURIiKiZGEYCdEbCCM29owQERElDZ+6IXpYGSEiIko6hpEQPUplhGGEiIgoWRhGAkRRRG9gozyGESIiouRhGAmQZ9IAQJqFYYSIiChZGEYC5OZVALBxai8REVHS8KkbIPeLmI0CTEa+LURERMnCp25Aj5vNq0RERKnAMBLA5lUiIqLUYBgJ4BojREREqaErjGzatAmlpaWw2WwoKyvD3r17o5775ptv4vrrr0dBQQGys7Mxf/58vPvuu7pveLBw9VUiIqLU0Pzk3b59O+6//36sW7cO1dXVWLRoERYvXoy6urqI5+/ZswfXX389du7ciaqqKlx99dVYunQpqqurE775gdTLyggREVFKCKIoilpeMG/ePFx66aXYvHmzcmzmzJm4+eabsWHDBlXXuPDCC7F8+XI88sgjqs53OByw2+3o6OhAdna2lttV7Q+fnsE9r1ZjXmkutt89f1C+BxER0Uii9vmtqTLidrtRVVWFioqKsOMVFRU4cOCAqmv4/X44nU7k5uZGPcflcsHhcIR9DDbOpiEiIkoNTWGkpaUFPp8PhYWFYccLCwvR2Nio6ho///nP0dXVhWXLlkU9Z8OGDbDb7cpHSUmJltvUpTewAiuHaYiIiJJLV7emIAhhn4ui2O9YJK+99hoee+wxbN++HaNHj4563tq1a9HR0aF81NfX67lNTXoDlREuBU9ERJRcJi0n5+fnw2g09quCNDc396uW9LV9+3asXLkSr7/+Oq677rqY51qtVlitVi23ljDOpiEiIkoNTU9ei8WCsrIyVFZWhh2vrKzEggULor7utddew+23345XX30VS5Ys0Xeng6zHw54RIiKiVNBUGQGANWvW4Dvf+Q7Ky8sxf/58/PKXv0RdXR1WrVoFQBpiOX36NF555RUAUhBZsWIFnn76aVx++eVKVSUtLQ12u30Af5TEMIwQERGlhuYwsnz5crS2tuLxxx9HQ0MDZs2ahZ07d2LChAkAgIaGhrA1R1544QV4vV5897vfxXe/+13l+G233YatW7cm/hMMEHk5eDawEhERJZfmMAIAq1evxurVqyN+rW/AeO+99/R8i6TjomdERESpwW7NgOA6I3xLiIiIkolP3oAutxcAkG7RVSwiIiIinRhGAroDlZEMK8MIERFRMjGMBHS5pMpIhpU9I0RERMnEMBLAYRoiIqLUYBgJ6HbJwzSsjBARESUTw0iAXBnJYGWEiIgoqRhGAPj8orLoGRtYiYiIkothBMGqCACkc9deIiKipGIYQbBfxGgQYDXxLSEiIkomPnkR2i9ihCAIKb4bIiKikYVhBKEzadgvQkRElGwMIwA6XfIaI+wXISIiSjaGEQDd8jANKyNERERJxzACoCuwLw0rI0RERMnHMIKQfWm44BkREVHSMYwAcPZ6AADZaeYU3wkREdHIwzACwNEjVUaybayMEBERJRvDCAAHKyNEREQpwzACoKNHCiN2hhEiIqKkYxgB4AiEkWwbwwgREVGyMYwAcPQGekbS2DNCRESUbAwjYGWEiIgolRhGwAZWIiKiVGIYQXBqLxtYiYiIkm/EhxG3148ej7QcPIdpiIiIkm/Eh5HWLhcAwGQQkMVFz4iIiJKOYaTTDQDIzbDAYBBSfDdEREQjz4gPI2c7pcpIfqY1xXdCREQ0Mo34MCJXRvKzGEaIiIhSYcSHkRa5MpJhSfGdEBERjUwjPow0OXoBAAWsjBAREaWErjCyadMmlJaWwmazoaysDHv37o15/u7du1FWVgabzYZJkybh+eef13Wzg6G+rRsAUJybnuI7ISIiGpk0h5Ht27fj/vvvx7p161BdXY1FixZh8eLFqKuri3h+bW0tbrzxRixatAjV1dX44Q9/iHvvvRe//e1vE775gVDf1gMAGM8wQkRElBKCKIqilhfMmzcPl156KTZv3qwcmzlzJm6++WZs2LCh3/n/9E//hLfffhuHDx9Wjq1atQqffPIJ3n//fVXf0+FwwG63o6OjA9nZ2VpuNyaPz49Zj74Ll9eP9x68ChPzMwbs2kRERCOd2ue3psqI2+1GVVUVKioqwo5XVFTgwIEDEV/z/vvv9zv/hhtuwMGDB+HxeCK+xuVyweFwhH0Mhl1fNMHl9SPbZmJlhIiIKEU0hZGWlhb4fD4UFhaGHS8sLERjY2PE1zQ2NkY83+v1oqWlJeJrNmzYALvdrnyUlJRouU1VRFHEL/ccBwBcM2M0FzwjIiJKEV0NrIIQ/uAWRbHfsXjnRzouW7t2LTo6OpSP+vp6PbcZkyAIePSmC3HLpcVY/81ZA359IiIiUkfTZiz5+fkwGo39qiDNzc39qh+yMWPGRDzfZDIhLy8v4musVius1sGfanvp+FG4dPyoQf8+REREFJ2myojFYkFZWRkqKyvDjldWVmLBggURXzN//vx+5+/atQvl5eUwm7lLLhER0UineZhmzZo1+NWvfoUtW7bg8OHDeOCBB1BXV4dVq1YBkIZYVqxYoZy/atUqnDx5EmvWrMHhw4exZcsWvPTSS3jwwQcH7qcgIiKiIUvTMA0ALF++HK2trXj88cfR0NCAWbNmYefOnZgwYQIAoKGhIWzNkdLSUuzcuRMPPPAAnnvuOYwdOxbPPPMMbrnlloH7KYiIiGjI0rzOSCoM1jojRERENHgGZZ0RIiIiooHGMEJEREQpxTBCREREKcUwQkRERCnFMEJEREQpxTBCREREKcUwQkRERCnFMEJEREQpxTBCREREKaV5OfhUkBeJdTgcKb4TIiIiUkt+bsdb7H1IhBGn0wkAKCkpSfGdEBERkVZOpxN2uz3q14fE3jR+vx9nzpxBVlYWBEEYsOs6HA6UlJSgvr6ee94MMr7XycH3OTn4PicH3+fkGMz3WRRFOJ1OjB07FgZD9M6QIVEZMRgMKC4uHrTrZ2dn8x96kvC9Tg6+z8nB9zk5+D4nx2C9z7EqIjI2sBIREVFKMYwQERFRSo3oMGK1WvHoo4/CarWm+laGPb7XycH3OTn4PicH3+fkOB/e5yHRwEpERETD14iujBAREVHqMYwQERFRSjGMEBERUUoxjBAREVFKDfswsmnTJpSWlsJms6GsrAx79+6Nef7u3btRVlYGm82GSZMm4fnnn0/SnQ5tWt7nN998E9dffz0KCgqQnZ2N+fPn4913303i3Q5tWv9Ny/bv3w+TyYRLLrlkcG9wmND6PrtcLqxbtw4TJkyA1WrF5MmTsWXLliTd7dCl9X3etm0bZs+ejfT0dBQVFeGOO+5Aa2trku52aNqzZw+WLl2KsWPHQhAEvPXWW3Ffk/RnoTiM/eY3vxHNZrP44osviocOHRLvu+8+MSMjQzx58mTE80+cOCGmp6eL9913n3jo0CHxxRdfFM1ms/jGG28k+c6HFq3v83333Sf+5Cc/ET/66CPxyJEj4tq1a0Wz2Sx+/PHHSb7zoUfrey1rb28XJ02aJFZUVIizZ89Ozs0OYXre55tuukmcN2+eWFlZKdbW1ooffvihuH///iTe9dCj9X3eu3evaDAYxKefflo8ceKEuHfvXvHCCy8Ub7755iTf+dCyc+dOcd26deJvf/tbEYC4Y8eOmOen4lk4rMPI3LlzxVWrVoUdmzFjhvjwww9HPP8HP/iBOGPGjLBjd999t3j55ZcP2j0OB1rf50guuOACcf369QN9a8OO3vd6+fLl4o9+9CPx0UcfZRhRQev7/Mc//lG02+1ia2trMm5v2ND6Pj/55JPipEmTwo4988wzYnFx8aDd43CjJoyk4lk4bIdp3G43qqqqUFFREXa8oqICBw4ciPia999/v9/5N9xwAw4ePAiPxzNo9zqU6Xmf+/L7/XA6ncjNzR2MWxw29L7XL7/8Mo4fP45HH310sG9xWNDzPr/99tsoLy/HT3/6U4wbNw7Tpk3Dgw8+iJ6enmTc8pCk531esGABTp06hZ07d0IURTQ1NeGNN97AkiVLknHLI0YqnoVDYqM8PVpaWuDz+VBYWBh2vLCwEI2NjRFf09jYGPF8r9eLlpYWFBUVDdr9DlV63ue+fv7zn6OrqwvLli0bjFscNvS810ePHsXDDz+MvXv3wmQatv9zH1B63ucTJ05g3759sNls2LFjB1paWrB69Wq0tbWxbyQKPe/zggULsG3bNixfvhy9vb3wer246aab8Itf/CIZtzxipOJZOGwrIzJBEMI+F0Wx37F450c6TuG0vs+y1157DY899hi2b9+O0aNHD9btDStq32ufz4dbb70V69evx7Rp05J1e8OGln/Tfr8fgiBg27ZtmDt3Lm688UZs3LgRW7duZXUkDi3v86FDh3DvvffikUceQVVVFd555x3U1tZi1apVybjVESXZz8Jh+6tSfn4+jEZjv4Td3NzcL/HJxowZE/F8k8mEvLy8QbvXoUzP+yzbvn07Vq5ciddffx3XXXfdYN7msKD1vXY6nTh48CCqq6txzz33AJAemqIowmQyYdeuXbjmmmuScu9DiZ5/00VFRRg3blzYVukzZ86EKIo4deoUpk6dOqj3PBTpeZ83bNiAhQsX4qGHHgIAXHzxxcjIyMCiRYvwxBNPsHo9QFLxLBy2lRGLxYKysjJUVlaGHa+srMSCBQsivmb+/Pn9zt+1axfKy8thNpsH7V6HMj3vMyBVRG6//Xa8+uqrHO9VSet7nZ2djc8++ww1NTXKx6pVqzB9+nTU1NRg3rx5ybr1IUXPv+mFCxfizJkz6OzsVI4dOXIEBoMBxcXFg3q/Q5We97m7uxsGQ/hjy2g0Agj+5k6JS8mzcNBaY88D8rSxl156STx06JB4//33ixkZGeLXX38tiqIoPvzww+J3vvMd5Xx5OtMDDzwgHjp0SHzppZc4tVcFre/zq6++KppMJvG5554TGxoalI/29vZU/QhDhtb3ui/OplFH6/vsdDrF4uJi8Vvf+pb4xRdfiLt37xanTp0q3nXXXan6EYYEre/zyy+/LJpMJnHTpk3i8ePHxX379onl5eXi3LlzU/UjDAlOp1Osrq4Wq6urRQDixo0bxerqamUK9fnwLBzWYUQURfG5554TJ0yYIFosFvHSSy8Vd+/erXzttttuE6+88sqw89977z1xzpw5osViESdOnChu3rw5yXc8NGl5n6+88koRQL+P2267Lfk3PgRp/TcdimFEPa3v8+HDh8XrrrtOTEtLE4uLi8U1a9aI3d3dSb7roUfr+/zMM8+IF1xwgZiWliYWFRWJ3/72t8VTp04l+a6Hlj//+c8x/z/3fHgWCqLI2hYRERGlzrDtGSEiIqKhgWGEiIiIUophhIiIiFKKYYSIiIhSimGEiIiIUophhIiIiFKKYYSIiIhSimGEiIiIUophhIiIiFKKYYSIiIhSimGEiIiIUophhIiIiFLq/wNiJdw9kl5X1QAAAABJRU5ErkJggg==\n" }, "metadata": {} @@ -675,14 +677,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ - "import scipy.io.savemet as savemat\n", + "import scipy.io\n", "\n", - "savemat(\"Duffing_fit.mat\", {\"x\": results_test_np})" + "scipy.io.savemat(\"Duffing_fit.mat\", {\"x\": results_test_np})" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb index 54d9f6d8..d169d099 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -111,7 +111,7 @@ "output_type": "display_data", "data": { 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    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T14:52:41.657396\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + 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}, "metadata": {} @@ -160,7 +160,7 @@ "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -185,75 +185,75 @@ "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(1.6585e-05, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(1.2307e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1545, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2955, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0153, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.0601, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.1534, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4288, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2022, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.2703, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(6.2241e-07, grad_fn=)\n", + "Epoch: 1\t Loss: tensor(2.1483e-07, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0102, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3692, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0477, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.5677, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-0.0261, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4753, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1857, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7601, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.6668e-07, grad_fn=)\n", + "Epoch: 2\t Loss: tensor(9.9602e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0643, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5249, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1343, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7102, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0250, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5568, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1958, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7844, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.2800e-07, grad_fn=)\n", + "Epoch: 3\t Loss: tensor(4.1914e-08, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0268, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5256, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2123, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8063, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0211, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5445, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2153, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7838, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(2.8828e-09, grad_fn=)\n", + "Epoch: 4\t Loss: tensor(1.6528e-08, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0446, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5229, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2207, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7748, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0200, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5254, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2264, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7699, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(6.4483e-10, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(2.1858e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0483, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5157, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1967, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7670, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0309, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5219, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1986, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7557, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(3.4342e-10, grad_fn=)\n", + "Epoch: 6\t Loss: tensor(1.0990e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0514, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5113, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2026, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7670, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0387, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5179, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2043, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7501, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(4.1703e-10, grad_fn=)\n", + "Epoch: 7\t Loss: tensor(5.3082e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0570, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5129, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2086, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7728, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0477, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5139, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2163, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7565, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(6.9033e-10, grad_fn=)\n", + "Epoch: 8\t Loss: tensor(2.0206e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0620, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5134, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2020, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7777, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0576, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5129, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1943, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7672, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(6.7190e-10, grad_fn=)\n", + "Epoch: 9\t Loss: tensor(7.0696e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0651, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5112, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2028, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7791, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0657, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5108, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2157, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.7682, requires_grad=True), 'w': Parameter containing:\n", "tensor(0., requires_grad=True)}\n" ] } @@ -276,13 +276,13 @@ "data": { "text/plain": [ "{'a': Parameter containing:\n", - " tensor(0.0651, requires_grad=True),\n", + " tensor(0.0657, requires_grad=True),\n", " 'b': Parameter containing:\n", - " tensor(0.5112, requires_grad=True),\n", + " tensor(0.5108, requires_grad=True),\n", " 'd': Parameter containing:\n", - " tensor(0.2028, requires_grad=True),\n", + " tensor(0.2157, requires_grad=True),\n", " 'g': Parameter containing:\n", - " tensor(0.7791, requires_grad=True),\n", + " tensor(0.7682, requires_grad=True),\n", " 'w': Parameter containing:\n", " tensor(0., requires_grad=True)}" ] @@ -307,24 +307,24 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [0.0000e+00, 7.7911e-03, 1.0000e-04],\n", - " [7.7911e-05, 1.5566e-02, 2.0000e-04],\n", + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 0.0000e+00, 7.6820e-03, 1.0000e-04],\n", + " [ 7.6820e-05, 1.5347e-02, 2.0000e-04],\n", " ...,\n", - " [1.1139e+00, 5.0133e-05, 9.9975e-01],\n", - " [1.1139e+00, 5.1647e-05, 9.9985e-01],\n", - " [1.1139e+00, 5.3148e-05, 9.9995e-01]], grad_fn=)" + " [ 1.1083e+00, -1.7063e-05, 9.9975e-01],\n", + " [ 1.1083e+00, -1.6193e-05, 9.9985e-01],\n", + " [ 1.1083e+00, -1.5323e-05, 9.9995e-01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 13 + "execution_count": 11 } ], "source": [ @@ -334,15 +334,15 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} } @@ -358,14 +358,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ - "import scipy.io.savemet as savemat\n", + "import scipy.io\n", "\n", - "savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/ode/SEIR/SEIRTest_fit.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb index df78ba4b..23b7827b 100644 --- a/examples/ode/SEIR/SEIRTest_fit.ipynb +++ b/examples/ode/SEIR/SEIRTest_fit.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -62,7 +62,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ ] }, "metadata": {}, - "execution_count": 6 + "execution_count": 5 } ], "source": [ @@ -108,14 +108,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -144,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -162,14 +162,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" 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requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0145, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1905, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(0.0007, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0848, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0054, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1914, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(0.0007, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0854, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0036, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1922, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(0.0006, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0867, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0124, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1929, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(0.0006, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0883, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0211, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1936, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(0.0005, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0903, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0295, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1942, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0925, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0378, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1947, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1243, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1960, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1300, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1974, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(0.0001, grad_fn=)\n", + "Epoch: 46\t Loss: tensor(0.0004, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1355, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0972, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1408, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0965, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1460, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.2003, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0963, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1510, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.2003, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(9.7682e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0964, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1558, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1999, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(8.8802e-05, grad_fn=)\n", + "tensor(0.0947, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0458, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1952, requires_grad=True)}\n", + "Epoch: 47\t 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"Epoch: 49\t Loss: tensor(0.0003, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1692, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1974, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(6.5258e-05, grad_fn=)\n", + "tensor(0.1004, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0688, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1965, requires_grad=True)}\n", + "Epoch: 50\t Loss: tensor(0.0003, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1734, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1018, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0761, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1968, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(6.2502e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1774, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1965, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(6.0217e-05, grad_fn=)\n", + "Epoch: 51\t Loss: tensor(0.0003, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1813, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1966, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(5.6671e-05, grad_fn=)\n", + "tensor(0.1027, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0832, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1971, requires_grad=True)}\n", + "Epoch: 52\t Loss: tensor(0.0003, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1850, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1970, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(5.1608e-05, grad_fn=)\n", + "tensor(0.1032, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0901, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1974, requires_grad=True)}\n", + "Epoch: 53\t Loss: tensor(0.0002, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1886, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1034, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0967, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1977, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(4.6179e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1921, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1985, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(4.1837e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1954, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(3.9211e-05, grad_fn=)\n", + "Epoch: 54\t Loss: tensor(0.0002, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1987, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1998, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(3.7724e-05, grad_fn=)\n", + "tensor(0.1032, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1032, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1979, requires_grad=True)}\n", + "Epoch: 55\t Loss: tensor(0.0002, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0980, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2018, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.2000, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(3.6195e-05, grad_fn=)\n", + "tensor(0.1026, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1095, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1981, requires_grad=True)}\n", + "Epoch: 56\t Loss: tensor(0.0002, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0980, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2048, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.2000, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(3.3819e-05, grad_fn=)\n", + "tensor(0.1019, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1156, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1983, requires_grad=True)}\n", + "Epoch: 57\t Loss: tensor(0.0002, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2077, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(3.0734e-05, grad_fn=)\n", + "tensor(0.1009, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1215, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1984, requires_grad=True)}\n", + "Epoch: 58\t Loss: tensor(0.0001, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2105, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 50\t Loss: tensor(2.7764e-05, grad_fn=)\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1271, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1986, requires_grad=True)}\n", + "Epoch: 59\t Loss: tensor(0.0001, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2132, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1326, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 51\t Loss: tensor(2.5636e-05, grad_fn=)\n", + "Epoch: 60\t Loss: tensor(0.0001, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2158, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1983, requires_grad=True)}\n", - "Epoch: 52\t Loss: tensor(2.4411e-05, grad_fn=)\n", + "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1379, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1988, requires_grad=True)}\n", + "Epoch: 61\t Loss: tensor(0.0001, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2183, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1980, requires_grad=True)}\n", - "Epoch: 53\t Loss: tensor(2.3517e-05, grad_fn=)\n", + "tensor(0.0969, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1430, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1989, requires_grad=True)}\n", + "Epoch: 62\t Loss: tensor(0.0001, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2208, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1980, requires_grad=True)}\n", - "Epoch: 54\t Loss: tensor(2.2311e-05, grad_fn=)\n", + "tensor(0.0961, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1478, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1990, requires_grad=True)}\n", + "Epoch: 63\t Loss: tensor(9.8452e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2231, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1981, requires_grad=True)}\n", - "Epoch: 55\t Loss: tensor(2.0608e-05, grad_fn=)\n", + "tensor(0.0956, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1525, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 64\t Loss: tensor(9.4771e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2254, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1985, requires_grad=True)}\n", - "Epoch: 56\t Loss: tensor(1.8757e-05, grad_fn=)\n", + "tensor(0.0953, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1570, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 65\t Loss: tensor(9.0765e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2276, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1989, requires_grad=True)}\n", - "Epoch: 57\t Loss: tensor(1.7251e-05, grad_fn=)\n", + "tensor(0.0953, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1613, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 66\t Loss: tensor(8.5824e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2297, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 58\t Loss: tensor(1.6295e-05, grad_fn=)\n", + "tensor(0.0955, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1654, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 67\t Loss: tensor(7.9839e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2317, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 59\t Loss: tensor(1.5658e-05, grad_fn=)\n", + "tensor(0.0959, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1694, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 68\t Loss: tensor(7.3129e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2337, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1998, requires_grad=True)}\n", - "Epoch: 60\t Loss: tensor(1.4947e-05, grad_fn=)\n", + "tensor(0.0964, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1731, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 69\t Loss: tensor(6.6275e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2356, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1998, requires_grad=True)}\n", - "Epoch: 61\t Loss: tensor(1.3955e-05, grad_fn=)\n", + "tensor(0.0971, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1768, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 70\t Loss: tensor(5.9903e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2375, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 62\t Loss: tensor(1.2814e-05, grad_fn=)\n", + "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1803, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 71\t Loss: tensor(5.4491e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2393, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1836, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 63\t Loss: tensor(1.1817e-05, grad_fn=)\n", + "Epoch: 72\t Loss: tensor(5.0263e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2410, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1990, requires_grad=True)}\n", - "Epoch: 64\t Loss: tensor(1.1129e-05, grad_fn=)\n", + "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1869, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 73\t Loss: tensor(4.7162e-05, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2427, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1988, requires_grad=True)}\n", - "Epoch: 65\t Loss: tensor(1.0659e-05, grad_fn=)\n", + "tensor(0.1900, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 74\t Loss: tensor(4.4913e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2443, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 66\t Loss: tensor(1.0182e-05, grad_fn=)\n", + "tensor(0.1001, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1930, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 75\t Loss: tensor(4.3131e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2459, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 67\t Loss: tensor(9.5560e-06, grad_fn=)\n", + "tensor(0.1005, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1959, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 76\t Loss: tensor(4.1439e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2474, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1989, requires_grad=True)}\n", - "Epoch: 68\t Loss: tensor(8.8371e-06, grad_fn=)\n", + "tensor(0.1006, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1987, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 77\t Loss: tensor(3.9557e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2489, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 69\t Loss: tensor(8.1914e-06, grad_fn=)\n", + "tensor(0.1007, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2014, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 78\t Loss: tensor(3.7362e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2503, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 70\t Loss: tensor(7.7218e-06, grad_fn=)\n", + "tensor(0.1006, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2040, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 79\t Loss: tensor(3.4885e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2517, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 71\t Loss: tensor(7.3807e-06, grad_fn=)\n", + "tensor(0.1004, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2066, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 80\t Loss: tensor(3.2275e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2530, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 72\t Loss: tensor(7.0378e-06, grad_fn=)\n", + "tensor(0.1001, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2090, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 81\t Loss: tensor(2.9732e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2543, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 73\t Loss: tensor(6.6148e-06, grad_fn=)\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2114, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 82\t Loss: tensor(2.7447e-05, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2556, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 74\t Loss: tensor(6.1477e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2568, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 75\t Loss: tensor(5.7309e-06, grad_fn=)\n", + "tensor(0.2137, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 83\t Loss: tensor(2.5542e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2580, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2159, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 76\t Loss: tensor(5.4180e-06, grad_fn=)\n", + "Epoch: 84\t Loss: tensor(2.4042e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2592, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0987, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2180, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 77\t Loss: tensor(5.1708e-06, grad_fn=)\n", + "Epoch: 85\t Loss: tensor(2.2885e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2603, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 78\t Loss: tensor(4.9158e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2614, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2201, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 79\t Loss: tensor(4.6182e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2624, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 80\t Loss: tensor(4.3082e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2635, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 81\t Loss: tensor(4.0392e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2645, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 82\t Loss: tensor(3.8291e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2654, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 83\t Loss: tensor(3.6487e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2664, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 84\t Loss: tensor(3.4565e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2673, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 85\t Loss: tensor(3.2440e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2682, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 86\t Loss: tensor(3.0374e-06, grad_fn=)\n", + "Epoch: 86\t Loss: tensor(2.1950e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2691, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 87\t Loss: tensor(2.8623e-06, grad_fn=)\n", + "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2221, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 87\t Loss: tensor(2.1096e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2699, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 88\t Loss: tensor(2.7187e-06, grad_fn=)\n", + "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2240, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 88\t Loss: tensor(2.0207e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2707, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 89\t Loss: tensor(2.5832e-06, grad_fn=)\n", + "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2258, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 89\t Loss: tensor(1.9222e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2715, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 90\t Loss: tensor(2.4385e-06, grad_fn=)\n", + "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2276, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 90\t Loss: tensor(1.8142e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2723, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 91\t Loss: tensor(2.2882e-06, grad_fn=)\n", + "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2293, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 91\t Loss: tensor(1.7018e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2731, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 92\t Loss: tensor(2.1509e-06, grad_fn=)\n", + "tensor(0.0987, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2310, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 92\t Loss: tensor(1.5921e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2738, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 93\t Loss: tensor(2.0347e-06, grad_fn=)\n", + "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2326, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1992, requires_grad=True)}\n", + "Epoch: 93\t Loss: tensor(1.4923e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2745, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 94\t Loss: tensor(1.9325e-06, grad_fn=)\n", + "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2341, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 94\t Loss: tensor(1.4067e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2752, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 95\t Loss: tensor(1.8298e-06, grad_fn=)\n", + "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2356, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 95\t Loss: tensor(1.3362e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2759, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 96\t Loss: tensor(1.7222e-06, grad_fn=)\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2371, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 96\t Loss: tensor(1.2777e-05, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2766, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 97\t Loss: tensor(1.6187e-06, grad_fn=)\n", + "tensor(0.2385, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 97\t Loss: tensor(1.2273e-05, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2772, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(1.5270e-06, grad_fn=)\n", + "tensor(0.2399, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 98\t Loss: tensor(1.1794e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2778, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(1.4471e-06, grad_fn=)\n", + "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2412, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(1.1305e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2785, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n" + "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2426, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n" ] } ], @@ -605,24 +608,26 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "{'a': 0.0999237447977066, 'g1': 0.2784566581249237, 'g2': 0.19953623414039612}" + "{'a': 0.09996917098760605,\n", + " 'g1': 0.24255302548408508,\n", + " 'g2': 0.19910137355327606}" ] }, "metadata": {}, - "execution_count": 12 + "execution_count": 10 } ], "source": [ "ode_solver.get_coeffs()\n", "\n", - "# \"a\" and \"g2\" differ by at most 0.01. \"g1\" differs by 0.03." + "# \"a\" and \"g2\" differ by at most 0.01. \"g1\" differs by 0.06." ] }, { @@ -634,7 +639,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -642,17 +647,17 @@ "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7958e-03, 0.0000e+00],\n", - " [1.0000e-01, 8.9641e-01, 3.5863e-03, 1.7945e-06],\n", + " [1.0000e-01, 8.9821e-01, 1.7919e-03, 0.0000e+00],\n", + " [1.0000e-01, 8.9642e-01, 3.5785e-03, 1.7914e-06],\n", " ...,\n", - " [6.2658e-03, 2.2260e-06, 1.3104e-04, 9.9360e-01],\n", - " [6.2658e-03, 2.2239e-06, 1.3092e-04, 9.9360e-01],\n", - " [6.2658e-03, 2.2217e-06, 1.3079e-04, 9.9360e-01]],\n", + " [9.0271e-03, 2.9410e-06, 1.3851e-04, 9.9083e-01],\n", + " [9.0271e-03, 2.9381e-06, 1.3838e-04, 9.9083e-01],\n", + " [9.0271e-03, 2.9353e-06, 1.3825e-04, 9.9083e-01]],\n", " grad_fn=)" ] }, "metadata": {}, - "execution_count": 13 + "execution_count": 11 } ], "source": [ @@ -662,15 +667,15 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" 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}, "metadata": {} } @@ -691,14 +696,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ - "import scipy.io.savemet as savemat\n", + "import scipy.io\n", "\n", - "savemat(\"SEIR_fit.mat\", {\"x\": results_test_np})" + "scipy.io.savemat(\"SEIR_fit.mat\", {\"x\": results_test_np})" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb index 4f00726a..7603ffa1 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -62,7 +62,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ ] }, "metadata": {}, - "execution_count": 6 + "execution_count": 5 } ], "source": [ @@ -108,14 +108,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -144,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -162,14 +162,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -192,112 +192,112 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(5.0924e-08, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(5.4204e-08, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0251, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1172, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.0972, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.7863e-09, grad_fn=)\n", + "tensor(0.0228, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1157, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0973, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.9755e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0932, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1684, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1580, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(1.9583e-09, grad_fn=)\n", + "tensor(0.0920, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1693, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1577, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.0686e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0967, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1525, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1923, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.8069e-09, grad_fn=)\n", + "tensor(0.0965, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1552, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1903, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.7562e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0909, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1966, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(9.8425e-10, grad_fn=)\n", + "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0972, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1963, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(1.0491e-09, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0218, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0294, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1926, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(6.6682e-10, grad_fn=)\n", + "Epoch: 5\t Loss: tensor(7.1560e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0967, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0356, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1918, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(4.3547e-10, grad_fn=)\n", + "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0294, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1916, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(4.6864e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0831, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1929, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(2.9978e-10, grad_fn=)\n", + "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0779, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1925, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.0227e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1227, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1947, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.9765e-10, grad_fn=)\n", + "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1186, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1944, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(2.0427e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1572, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1958, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(1.1863e-10, grad_fn=)\n", + "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1537, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1955, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(1.2669e-10, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1860, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1965, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(7.3628e-11, grad_fn=)\n", + "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1835, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1969, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(7.9409e-11, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2103, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1975, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(4.3234e-11, grad_fn=)\n", + "tensor(0.2084, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1974, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(4.5179e-11, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2306, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2287, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1976, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.6147e-11, grad_fn=)\n", + "Epoch: 12\t Loss: tensor(2.7858e-11, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2464, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2446, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1981, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.5700e-11, grad_fn=)\n", + "Epoch: 13\t Loss: tensor(1.7394e-11, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2590, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(9.1202e-12, grad_fn=)\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2574, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1986, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(9.0507e-12, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2690, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1990, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(4.6565e-12, grad_fn=)\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2676, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1988, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(5.6748e-12, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2768, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2754, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(2.7278e-12, grad_fn=)\n", + "Epoch: 16\t Loss: tensor(3.2592e-12, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2828, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2816, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(1.4706e-12, grad_fn=)\n", + "Epoch: 17\t Loss: tensor(1.6021e-12, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2873, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2864, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(7.0044e-13, grad_fn=)\n", + "Epoch: 18\t Loss: tensor(9.2377e-13, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2906, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2898, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(4.3328e-13, grad_fn=)\n", + "Epoch: 19\t Loss: tensor(4.5694e-13, grad_fn=)\n", "{'a': Parameter containing:\n", "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2930, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.2925, requires_grad=True), 'g2': Parameter containing:\n", "tensor(0.1996, requires_grad=True)}\n" ] } @@ -312,18 +312,18 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "{'a': 0.09994413703680038, 'g1': 0.2930056154727936, 'g2': 0.19959327578544617}" + "{'a': 0.09993458539247513, 'g1': 0.2925073206424713, 'g2': 0.19956320524215698}" ] }, "metadata": {}, - "execution_count": 11 + "execution_count": 10 } ], "source": [ @@ -341,7 +341,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -349,17 +349,17 @@ "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7963e-03, 0.0000e+00],\n", - " [9.9999e-02, 8.9641e-01, 3.5873e-03, 1.7953e-06],\n", + " [1.0000e-01, 8.9820e-01, 1.7961e-03, 0.0000e+00],\n", + " [9.9999e-02, 8.9641e-01, 3.5868e-03, 1.7949e-06],\n", " ...,\n", - " [5.4107e-03, 1.9812e-06, 1.2800e-04, 9.9446e-01],\n", - " [5.4107e-03, 1.9793e-06, 1.2787e-04, 9.9446e-01],\n", - " [5.4107e-03, 1.9774e-06, 1.2775e-04, 9.9446e-01]],\n", + " [5.4365e-03, 1.9908e-06, 1.2821e-04, 9.9443e-01],\n", + " [5.4365e-03, 1.9889e-06, 1.2809e-04, 9.9443e-01],\n", + " [5.4365e-03, 1.9870e-06, 1.2796e-04, 9.9443e-01]],\n", " grad_fn=)" ] }, "metadata": {}, - "execution_count": 12 + "execution_count": 11 } ], "source": [ @@ 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\n" 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\n" }, "metadata": {} } @@ -398,14 +398,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ - "import scipy.io.savemet as savemat\n", + "import scipy.io\n", "\n", - "savemat(\"SEIR_fitRandomSample.mat\", {\"x\": results_test_np})" + "scipy.io.savemat(\"SEIR_fitRandomSample.mat\", {\"x\": results_test_np})" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/ode/SEIR/SEIR_fitRandomSample.mat b/examples/ode/SEIR/SEIR_fitRandomSample.mat new file mode 100644 index 0000000000000000000000000000000000000000..43c111985e13bf00b6633bf6e8a4e7661da8b3e1 GIT binary patch literal 160184 zcmbSyi91zq)V6sZLxv=jD3ml?_o`HgqCpxp&l3&OTtbvkDb1-=qEVClN@?Pl=XsVf zA{7ma-u+(J`~3r-oN` z3a_=E+qc*lZuQ);VYh|hli&=(@to(01oKL+cTSBSzYc5`L`=t*xv_ zi2Z;3h&wu~2xV5=B*bI{D8{uwvEl;G50dK`E~}+yOF`Z 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}, "metadata": {} @@ -190,389 +190,389 @@ "output_type": "stream", "name": "stdout", "text": [ - "o': Parameter containing:\n", - "tensor(9.4876, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(9.5730, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(316.2903, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1060, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(9.4467, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(9.4755, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(315.2972, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1762, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(9.4118, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(9.3780, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(314.3082, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.2448, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(9.3833, 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requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.0732, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6107, requires_grad=True)}\n", - "Epoch: 91\t Loss: tensor(75.4091, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(16.5868, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.1859, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5542, requires_grad=True)}\n", - "Epoch: 92\t Loss: tensor(75.0112, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(16.6996, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.2946, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5122, requires_grad=True)}\n", - "Epoch: 93\t Loss: tensor(75.1785, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(16.8261, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.3978, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.4920, 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'rho': Parameter containing:\n", - "tensor(16.7405, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5999, requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(72.1820, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.5891, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.8132, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6316, requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(72.2339, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.7342, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.8818, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6545, requires_grad=True)}\n" + "ameter containing:\n", + "tensor(16.9669, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.8215, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(307.4054, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.5103, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8939, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.7227, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(305.5780, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.6012, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8234, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.6239, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(303.7665, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.6915, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.7555, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.5253, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(301.9700, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(16.7812, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.6904, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.4266, requires_grad=True)}\n", + "Epoch: 28\t Loss: 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"tensor(16.4602, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(8.0326, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(293.1724, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.2206, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.4108, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.9342, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(291.4423, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.3068, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3649, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.8359, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(289.7193, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.3924, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3227, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.7375, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(288.0017, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.4775, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2841, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.6392, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(286.2880, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.5621, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2494, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.5408, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(284.5766, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.6462, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2186, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.4425, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(282.8662, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.7299, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1918, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.3441, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(281.1555, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8132, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1691, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.2457, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(279.4431, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.8960, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1505, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.1473, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(277.7280, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(17.9786, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1362, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(7.0488, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(276.0083, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.0610, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1262, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.9502, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(274.2825, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.1431, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1205, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.8516, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(272.5486, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.2251, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1192, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.7529, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(270.8046, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.3069, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1221, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.6541, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(269.0491, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.3887, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1294, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.5552, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(267.2812, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.4704, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1411, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.4561, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(265.5007, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.5522, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1571, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.3569, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(263.7072, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.6343, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.1775, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.2576, requires_grad=True)}\n", + "Epoch: 50\t Loss: tensor(261.9002, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.7168, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2021, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.1581, requires_grad=True)}\n", + "Epoch: 51\t Loss: tensor(260.0781, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.7998, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2309, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.0585, requires_grad=True)}\n", + "Epoch: 52\t Loss: tensor(258.2383, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.8833, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2637, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.9587, requires_grad=True)}\n", + "Epoch: 53\t Loss: tensor(256.3786, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(18.9673, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3005, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.8587, requires_grad=True)}\n", + "Epoch: 54\t Loss: tensor(254.4987, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.0520, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3409, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.7585, requires_grad=True)}\n", + "Epoch: 55\t Loss: tensor(252.6027, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.1376, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.3851, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.6581, requires_grad=True)}\n", + "Epoch: 56\t Loss: tensor(250.6988, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.2247, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.4327, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.5576, requires_grad=True)}\n", + "Epoch: 57\t Loss: tensor(248.7966, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.3138, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.4836, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.4571, requires_grad=True)}\n", + "Epoch: 58\t Loss: tensor(246.8992, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.4053, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.5371, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.3565, requires_grad=True)}\n", + "Epoch: 59\t Loss: tensor(244.9998, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.4993, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.5927, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.2560, requires_grad=True)}\n", + "Epoch: 60\t Loss: tensor(243.0940, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.5959, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.6496, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.1554, requires_grad=True)}\n", + "Epoch: 61\t Loss: tensor(241.2160, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.6965, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.7071, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(5.0552, requires_grad=True)}\n", + "Epoch: 62\t Loss: tensor(239.4419, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.8034, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.7632, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.9557, requires_grad=True)}\n", + "Epoch: 63\t Loss: tensor(237.7399, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(19.9153, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8171, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.8565, requires_grad=True)}\n", + "Epoch: 64\t Loss: tensor(235.9082, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.0322, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8676, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.7578, requires_grad=True)}\n", + "Epoch: 65\t Loss: tensor(235.4820, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1639, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.8481, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.6737, requires_grad=True)}\n", + "Epoch: 66\t Loss: tensor(87.1589, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1819, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.9130, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.5687, requires_grad=True)}\n", + "Epoch: 67\t Loss: tensor(72.1098, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1713, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.0075, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.4549, requires_grad=True)}\n", + "Epoch: 68\t Loss: tensor(68.1910, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1643, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.0997, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.3467, requires_grad=True)}\n", + "Epoch: 69\t Loss: tensor(67.0227, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1610, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.1825, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.2438, requires_grad=True)}\n", + "Epoch: 70\t Loss: tensor(65.9678, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1574, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.2545, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.1441, requires_grad=True)}\n", + "Epoch: 71\t Loss: tensor(64.5484, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1486, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.3158, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.0448, requires_grad=True)}\n", + "Epoch: 72\t Loss: tensor(62.6232, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1309, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.3684, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.9442, requires_grad=True)}\n", + "Epoch: 73\t Loss: tensor(60.3717, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.1065, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.4169, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.8431, requires_grad=True)}\n", + "Epoch: 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"tensor(17.6720, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5671, requires_grad=True)}\n", + "Epoch: 78\t Loss: tensor(60.1414, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.3171, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.7531, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5523, requires_grad=True)}\n", + "Epoch: 79\t Loss: tensor(59.5519, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.4366, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.8379, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5577, requires_grad=True)}\n", + "Epoch: 80\t Loss: tensor(58.1238, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.5706, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(17.9256, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5811, requires_grad=True)}\n", + "Epoch: 81\t Loss: tensor(56.0462, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.7143, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.0151, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6173, requires_grad=True)}\n", + "Epoch: 82\t Loss: tensor(54.1216, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.8597, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.1039, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6568, requires_grad=True)}\n", + "Epoch: 83\t Loss: tensor(53.4646, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(20.9949, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.1881, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6870, requires_grad=True)}\n", + "Epoch: 84\t Loss: tensor(54.0363, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.1101, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.2645, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6989, requires_grad=True)}\n", + "Epoch: 85\t Loss: tensor(54.6685, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.2017, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.3316, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6902, requires_grad=True)}\n", + "Epoch: 86\t Loss: tensor(54.5350, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.2711, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.3899, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6623, requires_grad=True)}\n", + "Epoch: 87\t Loss: tensor(53.5211, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.3234, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.4416, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.6196, requires_grad=True)}\n", + "Epoch: 88\t Loss: tensor(52.1546, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.3693, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.4895, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5702, requires_grad=True)}\n", + "Epoch: 89\t Loss: tensor(51.5029, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.4250, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.5349, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5270, requires_grad=True)}\n", + "Epoch: 90\t Loss: tensor(52.0075, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.5022, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.5770, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5016, requires_grad=True)}\n", + "Epoch: 91\t Loss: tensor(52.6058, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.6020, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.6143, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.4983, requires_grad=True)}\n", + "Epoch: 92\t Loss: tensor(52.3063, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.7194, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.6467, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5139, requires_grad=True)}\n", + "Epoch: 93\t Loss: tensor(51.2853, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.8464, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.6755, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5399, requires_grad=True)}\n", + "Epoch: 94\t Loss: tensor(50.5587, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(21.9722, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.7019, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5641, requires_grad=True)}\n", + "Epoch: 95\t Loss: tensor(50.7093, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(22.0866, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.7263, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5755, requires_grad=True)}\n", + "Epoch: 96\t Loss: tensor(51.0912, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(22.1849, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.7484, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5699, requires_grad=True)}\n", + "Epoch: 97\t Loss: tensor(50.9580, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(22.2685, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.7683, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5488, requires_grad=True)}\n", + "Epoch: 98\t Loss: tensor(50.3099, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(22.3433, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.7867, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.5183, requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(49.7464, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(22.4191, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.8036, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.4880, requires_grad=True)}\n" ] } ], @@ -597,11 +597,11 @@ "data": { "text/plain": [ "{'sigma': Parameter containing:\n", - " tensor(17.7342, requires_grad=True),\n", + " tensor(22.4191, requires_grad=True),\n", " 'rho': Parameter containing:\n", - " tensor(16.8818, requires_grad=True),\n", + " tensor(18.8036, requires_grad=True),\n", " 'beta': Parameter containing:\n", - " tensor(2.6545, requires_grad=True)}" + " tensor(3.4880, requires_grad=True)}" ] }, "metadata": {}, @@ -611,7 +611,7 @@ "source": [ "ode_solver_train.coeffs\n", "\n", - "# \"beta\" is close but \"sigma\" and \"rho\" are far off" + "# The parameters are far off" ] }, { @@ -623,7 +623,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -632,7 +632,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -640,16 +640,16 @@ "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 8.2266e-01, 1.6882e-01, 0.0000e+00],\n", - " [ 7.0670e-01, 3.0601e-01, 1.3888e-03],\n", + " [ 7.7581e-01, 1.8804e-01, 0.0000e+00],\n", + " [ 6.4404e-01, 3.3203e-01, 1.4588e-03],\n", " ...,\n", - " [-6.4928e+00, -6.4932e+00, 1.5881e+01],\n", - " [-6.4929e+00, -6.4933e+00, 1.5881e+01],\n", - " [-6.4930e+00, -6.4933e+00, 1.5881e+01]], grad_fn=)" + " [-7.8803e+00, -7.8803e+00, 1.7804e+01],\n", + " [-7.8803e+00, -7.8803e+00, 1.7804e+01],\n", + " [-7.8803e+00, -7.8803e+00, 1.7804e+01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 14 + "execution_count": 11 } ], "source": [ @@ -658,22 +658,22 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" ] }, { "output_type": "display_data", "data": { "text/plain": "
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\n" 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\n" 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\n" }, "metadata": {} } @@ -703,14 +703,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ - "import scipy.io.savemet as savemat\n", + "import scipy.io\n", "\n", - "savemat(\"Lorenz63_fit.mat\", {\"x\": results_test_np})" + "scipy.io.savemat(\"Lorenz63_fit.mat\", {\"x\": results_test_np})" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb index 75dde665..098b0cb2 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb @@ -115,7 +115,7 @@ "output_type": "display_data", "data": { "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-20T14:43:25.224994\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:15:34.405351\n image/svg+xml\n \n \n Matplotlib v3.4.2, 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\n" }, "metadata": {} @@ -153,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 16, "metadata": { "tags": [] }, @@ -188,56 +188,56 @@ "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(1.7005, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(1.0166, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(7.6356, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(7.8562, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(1.8611, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.2250, grad_fn=)\n", + "tensor(7.4447, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(25.9663, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(9.6339, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.1197, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.2038, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(14.8290, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5708, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.2055, grad_fn=)\n", + "tensor(8.0665, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.9027, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(4.7454, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0019, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.6030, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(20.1962, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.9449, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0560, grad_fn=)\n", + "tensor(8.5213, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.6596, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.3149, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0140, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.7588, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(24.1160, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6037, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0110, grad_fn=)\n", + "tensor(8.7199, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.8255, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.0957, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0007, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.7591, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.3137, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7577, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0007, grad_fn=)\n", + "tensor(9.3548, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9116, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5468, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0006, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.7842, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.4336, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6797, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(0.0007, grad_fn=)\n", + "tensor(9.4170, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9516, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6025, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(8.0349e-05, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.6961, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.8887, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6996, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0002, grad_fn=)\n", + "tensor(9.4587, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9846, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6392, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.9863e-05, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.6755, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.8724, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6719, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(0.0005, grad_fn=)\n", + "tensor(9.4761, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.0087, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6611, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(9.9995e-05, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.6610, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9321, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7177, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0005, grad_fn=)\n", + "tensor(9.5049, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.0287, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6747, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0004, grad_fn=)\n", "{'sigma': Parameter containing:\n", - "tensor(9.8077, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9714, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6987, requires_grad=True)}\n" + "tensor(9.5182, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.0124, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6850, requires_grad=True)}\n" ] } ], @@ -247,14 +247,14 @@ " torch.optim.Adam,\n", " {\"lr\": 0.5},\n", " max_epochs=10,\n", - " # scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " # scheduler_params={\"milestones\": [20,50],\"gamma\": 0.5}\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [5],\"gamma\": 0.2}\n", ")" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -262,15 +262,15 @@ "data": { "text/plain": [ "{'sigma': Parameter containing:\n", - " tensor(9.8077, requires_grad=True),\n", + " tensor(9.5182, requires_grad=True),\n", " 'rho': Parameter containing:\n", - " tensor(27.9714, requires_grad=True),\n", + " tensor(28.0124, requires_grad=True),\n", " 'beta': Parameter containing:\n", - " tensor(2.6987, requires_grad=True)}" + " tensor(2.6850, requires_grad=True)}" ] }, "metadata": {}, - "execution_count": 9 + "execution_count": 17 } ], "source": [ @@ -288,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -297,7 +297,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -305,16 +305,16 @@ "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.0192e-01, 2.7971e-01, 0.0000e+00],\n", - " [ 8.4090e-01, 5.2920e-01, 2.5228e-03],\n", + " [ 9.0482e-01, 2.8012e-01, 0.0000e+00],\n", + " [ 8.4536e-01, 5.3078e-01, 2.5346e-03],\n", " ...,\n", - " [-5.7779e+00, -8.5115e+00, 1.8232e+01],\n", - " [-6.0460e+00, -8.9891e+00, 1.8232e+01],\n", - " [-6.3347e+00, -9.4881e+00, 1.8283e+01]], grad_fn=)" + " [-9.5352e-01, -3.5295e+00, 2.2755e+01],\n", + " [-1.1987e+00, -3.5444e+00, 2.2178e+01],\n", + " [-1.4220e+00, -3.5789e+00, 2.1625e+01]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 14 + "execution_count": 19 } ], "source": [ @@ -323,22 +323,22 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 20, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" ] }, { "output_type": "display_data", "data": { "text/plain": "
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\n" 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0ttJquLXR1FBk84TOLl26OCWhszFaUlzqUl8RTqFLp2MI4nIL4H0rJSUl8PT0dMoMqLa2FsXFxQgKCkL37t2bdSM6wyxGCEFhYSG0Wi26d++OLl26NOk3ms+aO3fujOjoaPj5+YFlWWOrYYVC0WCyoIBtnJXn4mhCpyMBHDw3U1zqUp/YCF06G0YQl5sMLyw1NTW4cOECJkyY0KwLkGEYJCcno6SkBF5eXujZs2ez97G5ZjGDwYDExESUlpZCKpUiODi42fvEwxd4bNeuHUJCQmAwGIyOZz5Z0M3NzbiquVX5G21hUGmpJMrGEjr5AA5HOnTeSnGpiz1io1KpIBaLjcEp/8X2AoK43ETMS7g4Y8CrqalBbGwsxGIxgoKCjMljzaU5K5fq6mrExMRAoVAgPDwcSUlJTtkn830zFz6xWGyRLKjVao3+muTkZOj1eqvggJYe+NuCz4Xfx5sx4NlK6OTFJi0tDWq1utEOnY6EIt9sbIlNXl4eJBIJpFKp8fX/Wi8bQVxuArZKuPA3T1NmZIQQ5ObmIjk5GZ07d0bXrl2RlZVljHRpLk0Vl5ycHCQnJyM4OBihoaGoqqpyyv44gkwmswgOqBtSC8DChNbSUU6tFV5cbsVvl0ql8PX1ha+vLwDThMC8Q6e7u7uF2DQnFPlmw98/YrEYEonkP9ulUxCXFqa+3BX+QnJ0EDcYDEhKSkJpaSkGDBiAdu3aAXBuv3pHzWIMw+DKlSsoLi7GwIEDjeYQwPHf1xiOBBvYCqnly9bzUU4SicQ4iHl7ezfb8dxWuJXiUpe6EwLzdtB5eXnGSVl+fj5YlrUKTW+NmFsn6jOj3e5dOgVxaUH43BVbJVz4C4cXHXuoqqpCbGwsFAoFRowYYTEQOit8GHBsAOdNcxKJBJGRkRaRWw0NXLdiUKMoU48UPsqJdzzzqy6lUmn013h5eTXqC2jou1ozrUlczKEoCgqFAgqFAgEBAcbVZ3R0NGpraxEXFwdCiEWOzc1O6LQHlmUbTASuKza3Y5dOQVxagLq5K7aiwfgLzJ6ZPSEEN27cwLVr1xASEoKQkBCr7TmrHhi/b/ZsKz8/H4mJiQgKCkJYWFiz2wDYu2/OElGRSARvb294e3sjNDTU6HguKyvD9evXLXwB3t7e8PDwsGs22ZZ8Lq19wOLFBgB69uwJqVRqTOjkAwQoimp1pk6GYRwqV9NY47QXXngBDz/8MB544IGW2mWnI4iLk6mbu9JQOKJIJGp08NXr9UhMTERFRQUGDRoEb29vm+9zprg0tgpiWRbJyckoKChAv379jLbzurTUDd5Sg3ddxzNvnikrK0NSUpKx3hYvNq1xxmwvbUVcAMvgg6YkdMrl8pv+OxtauTSGLbG5evWqcVXTVhDExUmYzzbsrWTcmCCUl5cjLi4Obm5uGDFiRIO5Ac5cJTS0OqitrUVsbCwoikJERASUSmWTttOcOlE3C7lcjg4dOqBDhw5G8wxfpiYzM9M4Y+bNaM3taX8zaUviYj5Rq0vdhE6WZY2mzpZK6LQHZ0WEAjCGNjd0r7VGBHFxAk0tOFmfuJjX4QoLC0Pnzp3tEipn+lxs7VdhYSESEhIQEBCAHj16NLrsd6YJy5xbYXYyDw4IDAy0mDEXFhbi2rVrkEql8Pb2Nl4PrZm2YLrjcaSCBU3TFgmdDMOgoqICFRUVyMnJcUpCpz04YhZrDEIIVCoV3NzcnLK9m4UgLs3EPHfF0Ux7W+Ki1WqRkJAAlUplrMPV1G01lbpCxbIsrl27huzsbPTp08fuemW8uDgzWa+1zLRtlUDhczcA4NKlS3BxcbGo9NzU4ICWoKkFUm8FzSmPJBKJLBI6DQaD8TxlZmaipqYGLi4uFmLjjAoPzTGL2UKlUjW5nNOtovVc7W0Me9sPN0RdQSgtLUV8fDy8vLws6nDZQ0uZxTQaDWJjY8EwDCIjIx26wBs7Hk2dPbfGWbf5IHbjxg0MHjwYGo0GZWVlxs6PfO6Gt7f3LW/G1VZaHAPOzc4Xi8Vo166dMYTfPKHz+vXrqK2ttUjobKj9Q0M40ywGcOZoe1tmtBYEcWkCzem7Yg4vLoQQpKWlITMzE927d0dgYGCzhao58EJVUlKCuLi4JpXt57cD2B7IWqNAOBOJRAJ3d3djsIN5M66EhASwLHtLw2n/q+JSl4YSOlNSUqDVai0SOt3d3Ru9D3j/q7P2WafTQafTCWax252GclcchaZpaLVanD9/HjqdDsOHD2/yBeRsn4tarUZMTAx69eqFjh07Nnk7gHOFpKX8OM6m7nVRN3dDpVIZI9EyMjIsfAXe3t5OL1lfl7YkLjez9It5QidgOSngEzrN20HbSujkJ3nOWrmoVCoAEFYutyvmuSuOtB9uCIPBgJSUFPj7+2PQoEHNssk7a+Wi1Wpx/fp16PV6RERENGu21FLi0pqx57fyxTddXV2NwQF8yfqCggJcu3YNMpnMIpnT2U7ntiQut7L0i62ETl5ssrOzba5AeYuGs8SlpqYGAASfy+0Iy7IwGAw4d+4cevfuDRcXl2Zd7LyDXKVSoUOHDggPD2/2PjrD58K3IFYqlVAoFM1ehreEuLTE9m41fFdHT09PBAcHG0vWl5WVISsrC0lJScYqwt7e3k32A5jT1sSlNZRCsVVOiE/orKioMCZ0uru7A+D8JM0dK/jtKJXKVnEMHEEQlwYwz13hLySGYZp1sfAlLFiWNTp2nUFzzGJ1WxArFApcvXq12fv0X1y58DRnP+uWrNfpdEYTGu8HaKgNtD0I4tJ8bCV01tTUoLCwEGVlZbh48aKx7L55h05Hjzsf0dZWzhePIC71YKv9sEgkcqgWWF0KCgqQmJiIgIAAdO/eHYmJiU4NH+aDA2xdhHo9kJpKISGBQmEhBYWCwMUFkMkMKCxMB6BCv36R0OlcUV1dhupqEfR6oDlRmS21cmnNtMRvlUql8PPzg5+fHwDOD8Anc+bk5BhNM7wZzZ6BSBAX50PTtHGyWFhYiMjISKO50zwXqm71gMZoi2HIgCAuNjHPXTEvMNdUvwbDMLh69Sry8/PRp08fo7PQ2RFeADdoFBVxIpKYSP/7L4XkZAo6na3BRAKgd53n/P99ABIJJ0IuLoBSSRAYCEREsIiIYDFsGEFDlrP/skO/JVEoFOjYsaNFG+jy8nKUlpbi+vXrFuVPvL29bQ5ggri0HHzOW11zp3mhVL6LqlwutxAbW741XlzayvniEcTFjMZyV5qycqmpqUFcXBxomkZkZKRFCYfmiotGAyQnc0ISF6fAqVORmD1bjpIS2xehmxtB794EgYEE5eW1KCnRgKJcwDByqFRAbS0FlQpQqQCG4bah11OoqAAqKgCAQmoqcPQoL7YEffsSREQQo+AEBpq+ryFxaWs3SmvFlmmmbvkTuVxuERzA9xhpK+egrYlLfQmU5oVSAcuETt63ZiuhU1i5tHHsyV1xVAxyc3Nx5coVBAYGolu3blY3SFPEpbwc+PFHEX7+mUZKCmUUAY72/26XoGtXgvBwgj59CHr1IvDwINDpgJQUgujocpSViaHVesLTUwQvLwIPD8DLi4WHByCXq1FcnIU+fbpDKuVMY1IpIBYDOTnA2bM0zp6lkZVFITaWQmws8PXX3M0UGMgJTWQki4gIApZ17kqjraxcbtXAXbf8CT+A8SHPfBtouVwOlmWdnuzXErTmLpS2sLf0S2MJnXl5eVi5ciW6du1qXKE6Ixx52bJleP/99y2e8/PzQ0FBAQDueL///vv47rvvUF5ejmHDhuGrr75C7951LRyN/L5m7+ltAMuy0Ol0jeau2LtyMRgMxuZZ/fv3N1bZrQtN03avhNLTga++EmHTJhFUKtP+eXtzItK7N4uamhT07h0KuVyE7GwKaWkUdu6kcf06Ba3W/Df5N/JtbgD61LPPBN7ewMCBBJMnM5BIAI2GwoULFOLiKGRnU8jOFuHXX7kBS6G4B8OHA6NHU3jsMQZdunDb0ev1UKvVbXK53xCtTfjqDmB8kmB+fj60Wi1OnjwJDw8P48qmNTbiaktdKIGmZ+fXTegsLS1FaWkpdu/ejStXrsDLywtDhw7FuHHjsHDhQoumfI7Su3dvHDlyxPi3+f6uWbMGa9euxaZNm9CtWzesWLECd911F1JSUhyKIP1PiwtvBuOjwRrLXbGnRH51dTViY2MhlUoxYsSIBh12NE03WOCQEODsWQpffCHCn3/SYFlu3/r0YbFgAYNu3QgOHKBx4gSN7dtFKC+vf2YhkRD4+9egWzeCfv2U6NaNoGNHgpoaCuXlQGWl6d/iYgOysiohFrf71yTGvabTUWBZCiUlwKFDFA4d4gYhFxeC4cMJXnmFgUIB6HTApUs0oqMpVFdLcOwYcOwY8P77IowbR/DII1Xw948GIRqjyYYf3BoredNWVi6tFT5JUCQSQa/Xo0+fPsZItBs3boAQYuGvaQ29UW4Xs5ij+Pj44LnnnkN5eTk6duyIVatW4dixYzh69Giz65+JxWKj79ccQgjWrVuHt99+G9OmTQMAbN68GX5+fti2bRvmzp1r/3c0aw/bME0p4dLQSoMQguzsbKSkpKBLly4IDQ1t9IaozyxmMAC7d9P44gsRzp83bWPCBBYvvmiAVkvhhx9oHDpEgxDLfe7YkUX37kBYGEFYGEFoqAHANYjFuRg4sN+/sx3z32A9UKtUKpw5E40JEyZYPK9Wc76X/HwKUVE0Tp2icPo0jdJSCv/8Q+Gff7h9VSgIhg0jWLCAQUlJCjp27IKTJxX45x/63/d5wtNzPKZPN2Dq1FKIRIUWJhtebOprziWIS/PhJ1NKpRJKpdIYHMBXei4pKTEGB5j7a+yJbnI2bU1cnFkRGeDuR1dXV3Tp0gVPP/00nn766WZvMzU1FQEBAZDJZBg2bBhWrlyJkJAQZGRkoKCgwOLel8lkGD16NKKiogRxaQzz1YojlWHrW7no9XokJSWhvLzcqod8Q9QVq6oqYNMmEb78UoQbN7h9kskIZsxg8eCDDKKjaTz/vAS5uab9HTeOxeOPM+jblyAz8wjGjh1mtMuatyDu1y/S7oGhvtWBQsE9OnQgGDiQwYsvAiwLXLlC4dQpCqdO0Th1ikZxMYXjxykcP04D6A2ZjGDIEBb33VeM2lodrlzxR36+GF9/LcbXX3fE0KH+mDlTh0mTVNDpyozNuRiGMYbYtpZZtL209v20ZWoybwPduXNnMAyDqqoqlJWVITc319gG2jyZ0xkVhO3Z17YmLs70YznL18IzbNgwbNmyBd26dUNhYSFWrFiByMhIJCUlGf0ufNg7j5+fH7Kyshz6nv+UuNjKXXG0RH7dlUtlZSViY2Ph4uKCyMhIhxoR8WJ14wbnT/nxRxGqq7n9adeO4LnnGHTtSvDnnzSmTJEYnfc+PgQzZzJ49lkGoaGm7RUVmeoa5eXlISkpqd4WxI39TntL5dM00KcPFzjw/PMsCAFSUiicPMmJzZEjepSXy3H6tAhAe1AUwbhxBBMnGpCfT3DkiBjnz4tw/rwCrq5yPPigO2bO7IjISAa1tSqUlZVZhNjy50Cn07VIH47m0lZWVfacW5FIZBEcwLeBNq8gbF7U0cPDo0WCA9qaQ9/Z5fZra2vr7fbaFO655x7j/8PDwxEREYHQ0FBs3rwZw4cPB2A9OWpKdOF/Rlzqth9uam8I/vOEEGRlZSE1NRWhoaEIDg52+OCXl4uxbFlXHD0qNQpH9+4sZsxgodcDP/8sQkaGaZsjRrB47jkGU6eysLUIoSgKDMMYZyANtSBuiIaqGTf+WaBHD4IePQjmzGFx+PA/yM1VIienK6KiAnD0qAj//EMBoOHvz+KJJ/QQi4Fjx8S4fp3G5s1SbN4sRa9eDJ56SooZM1wRFBRkzBFITU1FZWUlTp8+DVdXV4t+Ka096qk10ZRzW7cNtFarNSZzJicnQ6/XW1UOcMYKri069J1tFmvJUGQXFxeEh4cjNTUVU6dOBcAlfJv3bSoqKrJazTTGbS8uTWk/XB80TcNgMECn0yEhIQHV1dUYPHiwcWbnCBcvUnj44UDk53OnYOxYFkOGsEhPp7BihQh6PbePHh4Ejz/OYPZsFr16NT4rTkhIgEQiQWRkZJMr6/LHpznmCEIIUlNTwTAGjBzpi65dfQEYcP26AT/+KMKWLSIUFNDYtEkKiiK4804G99xjQEEBhb/+EuPKFRHeeEOEjz6S4eWXdZg3T2cslyOTydCpUyejI5rvL85HPbX1/vY3A2fkuchkMqs20ObBAQCsKj035TtZlr0p5jdnwTCMU1spt3QXSq1Wi+TkZIwaNQrBwcHw9/fH4cOHMWDAAABciPSJEyewevVqh7Z7W4uLs/qu8IhEIlRXVyMqKgoeHh4YMWJEky76jRtpvPKKGDodhcDAWvz0kxi//CLCmjWm0zFkCIvZsxk8/DALe1pnFxYWQqfTwdPTE/3792/WzIn/bFNNPDqdDnFxcdBoNMbWvzyhocCHHzJ49109/viDYNMmKU6cEOPwYTEOHwYCAljMmqWHQkGwf78YKSkivP++DBs2SLBokQ4jRtCQySxLotQd2DIzM0HTtHFVU1+WekvS2oXN2UmUdYs68nW2ysrKUFxcjLS0NEgkEuP5cKSXfVvzubT2LpSLFi3Cfffdh6CgIBQVFWHFihWoqqrCzJkzQVEUFi5ciJUrVyIsLAxhYWFYuXIllEolZsyY4dD33Lbi0pz2w7YghBgHrx49eiAoKMjhbWo0wMKFYmzaxF14d99di8mTr+CllwbiyhXu5nnqKQbPP89gwAD7Bna+wnJOTg5kMhkCAwObfSM2p2xLRUUFYmNj4eHhgYiICJw5c8bmdqRS4IEH9HjwQQZpaRQ2b5Zi61Yx8vJofPONFDRNMH48g3799Dh/XoTMTBpLlsjh5xeOuXMLsXAhl9TJ72/dgY13ROfl5SElJQUKhcK4qmnJlsO3k8+lOfB1ttzd3Y1toPlKz9nZ2bhy5YoxG72xc9LWxKWlosWcRU5ODqZPn46SkhK0b98ew4cPx7lz59C5c2cAwOLFi6FWqzF//nxjEuWhQ4ccXj3dduLC567k5+cjIyMDQ4cObfZNpNVqER8fj6qqKnh6ehpPgiPcuAFMny7BpUs0aJpg2TIGIpEOixYNgE5Hw8+P4Icf9LjrLvsHJ7Vajbi4ODAMg4iICMTGxjplcDM3i9mLeSh2165d0aVLF7sDJrp2JfjgAy3eeUeLvXvF2LRJgpMnudUMAAwcyGDIED3OnBEhL0+G5cuD8PPPLN5+W4tp0wyoex+b13QKCQkxOqLNWw6b+wbc3d1b/UrD2dzs8i91S5/o9XpjX5S0tDSo1WpjGDofHMAP0G1RXJy1cuEbyzlz5bJjx44GX6coCsuWLcOyZcua9T23lbjUNYPpdLpm30AlJSWIj4+Hj48PQkNDUVxc7PA2jh6l8NRTEpSUUPDxIVi3zoDffqOxZ48nAC5/5Ycf9HDE915cXIz4+HiLFsTOKoTp6MqFDyIoKSnBoEGDLMxgjvSZkcmAhx4y4KGHDEhNpfDjj1L8+KMEly+LcPmyCCNHGtCvXznOnnXH9esSPPOMAmvXMnj3XS0mTmRQ36mu64jmqwrzs2gARqG5GV0gWwO3uraYRCKxyEbXaDRGywDf8ZEvVa/X69uU+LeEWayttTgGbiNxqdt+WCKRNKs8PsuySEtLQ1ZWFnr27ImOHTsiPz/fwdk88OmnIixdKgLLUhgwgMusf+MNMXJzKUgkBLNmpeDzz4OtZt/1b5MgLS0NmZmZVi2Im9IwzGAAcnOB6moKnp4EXl6AUknZnQlfW1uLmJgYiEQiREZa59I0dVAICyNYtUqLl1/WYfVqKTZvluD0aTEAH4wcWYlOnZTYv1+MxEQRHn1UicGDGbz3nhajRzd+zutWFa6urkZZWZmxLLpMJoOPj49FoUdHae2D4a0Wl7rI5XKL4AC+DXR5eTkqKytRU1ODioqKZvVFuVm0tWixlqLNi0vd3BXev9Kc3iu8uclgMFj0tXekFlhVFTBnjhi7d3MzmMcfZ+DvTzB7thgsSyE0lMU331RCp0sHTQfbtU2tVou4uDhotVqL/eKx1TDMYADy8oDMTApZWdaPnBxTBWQeqZTAxWUC2rcXw8eHhrc3gacnV8fMy4v7t1s3guDgIqSnxxv709i6oZpbrsXfn+Czz7RYsECHlStl2LlTjNOnPSASEUyebIBCAezdK8bFiyLcd58S48YZ8MknGnTtat93micOdunSxarQY1JSkkXVAHd39wYHDsHn0nzqtoG+ePEivL29QVGUxQTAPDigNeU8OXPlwgerONPncrNo0+JSN3fF3MbviBCYU1RUhISEBAtzE489tcUALonwkUfESEmhIZEQvPoqg9Onafz8M7etJ55g8NlnBlAUi6go+/axtLQU8fHx8Pb2xsCBA206P2maRlERhd27Rdi3j0Z6OiceBoNjg4hOR0Gnk6O8vOH30XQA+vRpjzFjRBgxgiAykkXdGp3OqgUWEkLwww8aTJuWgw0bOuDkSU/8+acEMhnB1KkGsCywZ48YR4+KERHhgkWLdFi4UAdHI0JtFXrkTWgJCQkWjbnaWtUAc1qzuNSFEAJXV1f4+voa+6LULVXPt4Hmc55aKmDDHpzpc9HpdDAYDIJZ7GZhT+6KWCxusDNjXViWRUpKCnJzc9G7d2+LBCIeewTrjz9oPPecGDU1FDp2JJg+ncF334lQXk7BzY3giy8MmD6dE6ja2oa7R/K/NT09Henp6ejevTsCAwOt3ltTA+zZQ+O773rj4kUPq5VIS8GyNOLjZYiPB774gnuuWzfWKDQjRrAAnFtoMixMjbVrr6O8vAeWLZPhzBkxfvlFAjc3goceMuD6dRrR0SJ8+CG3ylm3TouRI5tuHq2by8E35uJrb0kkEouQ57ZCW8p6r+vQF4lEVm2g6wZs8JUD7FltOhtnmsVqamoAQFi53AzszV3hTy7DMI3OYlQqFeLi4gAAERER9do3G1u5bNlCY84czj4/YgQLPz+CTz7hvnvwYBabN+styrXws5v6xIVP1qypqcHQoUPh4eFhfE2vBw4fprF9O42//qKhVlMAPBv8nTeDa9doXLsG/PQT99vatYvAyJF6zJ5NYdw4YrdvqT74ldCwYSz271fjyBERli+XIS5OhG3bJOjQgcW0aXqcPi3CtWsiTJqkxBNP6PHBB1r4+DRP5Oo25jIPr71x44YxvBYAysvL4eXl1WqrBrS1lUtDg3XdUvVqtdoYHJCbm2tcbfJi09JtHpxpFlOpVKAoyqLJYFuhTYmLI7krvKA0Ji75+flISkpCx44d6/Ub8DS0crl4kcKCBdz3PP889x6+gdaiRQYsXcqgrlm4oVBL83yRyMjIf7sHciX4d+wQ4bffaJSVtf7BoaREht27Zdi9m2sk9uSTDJ58kkETormtoCjgrrsYjB9fi927xXj/fRkyMmjs2kVj5EgDBgxg8fffYmzdKsH+/SJ8+KEWM2YY6o0qc5S64bU6nQ5FRUW4du0arl69aox44lc2ralqQFsSF0fLvygUCigUCgQEBBiDA/gyNRkZGcaGavx5cWZ0IG9Vcaa4tNWeR21CXBprP2wL/vX6xIBhGCQnJ6OwsBDh4eF21c2pL0igqAh49FEJtFoK997LICyMxauvciuYLVv0eOQR26sdc3Ex/618zbKwsLB/c2oobN9O4/33xcjMbN5FFhrKYuBArt1xnz4E3t4Eej3Xg8VgoKDTcf9PSLgKP79ASCRK3LhRgPLyWpSXB2HPHkWTzW7Z2RRWrhRj5UoxRo9mMGMGwZQpjF0VCHhs+XBoGpg2zYB77jHg44+lWLdOitOnxXB1JZg2TY8rV2hcvSrC888rsG2bAevWaRAW5nzHu1QqRfv27XHt2jVERERAo9EY/TX8oMaLkbe3t1NLhDhKWzOLNXWwNg8O4NtA8wm25m2gzZM5mxMcYG5RcQY1NTWCuLQUTS3h0lDEGF+KXiwWO1SDy1a1YIMBeOIJrgx+WBiLRx5hMWsWd1g/+MBQr7Dw2wNM4qLX65GYmIjKykpjzbLMTGDBAgkOH3b8Yg0PZ3H33axRSLp1I404uE0Drp9fAbp2dUVmZgzCwykMGDAAcrkIgA4MA6Smci2O4+IoREfTiIpybP9OnBDhxAklXn+d4MEH9XjiCT0GD2abtapQKIClS3V4+GEDXnpJjuhoEXbtkqBvXwYPPaTHvn1inDrFOfxffVWHV1/V2SwA6gzMqwYEBgZa9Lbny9e7uLhY9Eq5mSa023nlAnBpAFeucP43tRpgGG7ypNcDBoMcDOMLvZ6CTseitlYLilJjzJh0eHomNqsgKn8vO3vl0hZp1eJSN3fF0Qusro+EEGK8sTt37oyuXbs6NMPgLxhzU9tbb4lw8iQNV1eCd99lMH8+F2o8axaDRYsadiTz0W38bCo2NhZKpRKRkZEQiaT44gsRli0TobbWvt/dqZMWTzxRggUL2qEZHVABcDcJby7s0aNHHYeqqfLxY48BAANCuCoEcXE0zpyh8Pnn9l1aVVUUfvpJip9+kqJHDwZz5ujx5JP6ekXQnuiznj1Z/P13LTZtkuC992SIjxchKYnGvfcaUFpK4fRpMT76SIbffxfj++81GDiw+YmntvbTHPPe9nzVAN4vcO3aNWi1WovCm86qKFwfbU1c7LlPy8uB48fFOHJEhCNHxMjPt/felgPwwJYtfnjgAR2efbYAen0hUlJSjOfFvNJzQ/vCMIzDrTwaQqVStdmIxFYpLua5K/a0H64P85WLwWBAUlISSktLMWDAAGOoqSPUXWns2EHjiy+4Q7hihQFvvslFiY0Zw2L9evts+xRFIS8vDxkZGQgJCUFISAgSEmg8/7wYly7Zd3M8/DCDOXMYtGt3FQCBj0/Dv40QoLAQSEqikJxMQ63m6nRJJIBIRFBeXozSUl/4+nqjtDQAV65wrwcEcOY0WxMpigI6dwY6d2Zx//3ARx8xSEig8MUXRdi6tZNdv+PqVRFefVWEtWulWLRIhyee0Fv5qbj9b9ykRdPAM8/oMWmSAW+8IcOuXRLs2SNBYCCLxx/X459/REhNFeHOO5V44w1uFeOM6FV7I+PqZqjXV1G4paoG3A7iwjBATAyNI0fEOHJEjIsXTa3AAa4j6vDhDHx8yL/XN/evSMRd62IxIBZzz8XHi/D332L8/rsMu3YFYcqUACxapEX//qZkzpycHLAsa5wkeHl5WZmsnFXLkMfZdcVuJq1OXFiWhcFgcEolY15cKisrERcXB4VCgREjRjTZ1s2vXFiWRXw8heef5w7fiy8asGmTCLm5FLp3Z7F9ux72JHXz4pmVlYWBAwdCqfTB0qUifPyxfafl/fcNmDWLAe8uSkmhYDBYrpaqqrhOkYmJ1L//0rhyhUJJSUPHNODfhzUURRAaStC3L2dq4/5l0bkzLMSUooC+fQnmz8/GO+/UoqSkC377jca6dY3/tpwcGgsXyvHpp1IsXqzDjBmm4+noteDvT7BpkwbTp+vx2mty3LhB4+efaYwda0C3bixOnhRjxQoZ/v5bjO++UyM09NYkQZq3G2ZZ1lg1oKCgANeuXYNcLjcKjZeXV7PzONqKuNTtv1RYSOGff7iVydGjIpSVWYpOjx4M7ryTwZ13GhAZyThk9oyLo/Hxx1L8+acEu3dzj8mTZXj/fVf06dPRGIpet4GdeXCAs0u/8D6XtghFWklKsXnuiqPth+sjKioKbm5uKCgoMK4KmrvNv//+G717j8Kdd3oiM5PC+PEspFKCAwdEaN+e4MQJHUJCGt8O7/dRqVTo378/kpP98cILXMOshujencWqVQzuvptF3Ws4NTUVarUWxcXh2LRJhOho2tguuS40TeDhwYlAVRXXrtgW/OFiWYCQ+o+du7tJbMaMYTFhAtcqICYmBl5eXujSpYtxO9HRFHbsoPHtt/YNkF26sHj9dS0ee8yAnJwMqNVq9OrVy67PmqNSAStXcuX7GYaCry+L0aMZHDokRmUlBRcXruTMzJn6Jvt+NBoNoqKiMG7cuKZtwAbmVQPKysosijw2NY+DTzxsShHWmwnDMDh06BTy88dh82Y5YmIsL3p3d4KxYw24804G48cb0KlT84ezpCROZP74QwxCKPj7s4iJUVmt2M39aGVlZaiuroZUKoXBYEDPnj2bXDrInPXr1+P8+fPYvXt3s7ZzK2gV4tLc9sO20Ov1OHnyJAghGDhwoNMS3P7++wjWrbsLx45JERxMMGIEi61bRZDJCP7+W4/hwxs/nHwL4s6dOyMtrQg7dw7H9u0Nz0569mTx22+WeTLmFBQA69ZVYOdOD+TmWk7XlEouv4SiTA+9Hnb7cpqCUklwzz0s+vdPxz33sOjTp4vF6yzLQq3WY/duCZ591j6TT3Awi2eeycXYsXno29dxceGJjaUxd64cycl86wPOF3PxIvf3xIkGfPmlBr6+jt8aarUaZ8+edaq41MU8Cq28vNxoqjE3oTV2/yQmJsLd3R1BQUEttp/NpaCAwjffiPD99zSqq03WhgEDOCG56y4GgwczdlkJmkJqKoVp05TIyqKxbJkWr76qa/D9BoMBN27cMLa/4AtO8uemKW2gP/roI2RmZuLnn39uzk+5JdxycWFZFmVlZcjJyWk0z8ReysvLERcXB5Zl0aVLF4TYs5Swk5kzc/DLL6FQKAhmzGCxcSN3sWzdqsdDDzXsGDYPf+7bty+k0vYYPVqDq1c9Gvzc6tUGLFjAWCUgsixXcXnjRhH27qWNZV4UCq4GmFrN9ZDhEixvHTIZiwkTCB54gMXkySw8PEw5SxwUDh8W4bXX5MjKavz8BwaqsXIlcP/9Tc9Z0WiAZctk2LCBc+qEhLAYOJDBn39yTdzatWOxfr0WkycbHNruzRAXc8xNNWVlZaisrDRWDWio7lZCQgI8PT0RGBh4U/bTEWJjaXz1lRS7domNHVkDA1nMm6fDY48Z0L79zRuytm8XY+5cBTw9CeLiatBY09mioiLcuHEDgwcPhlarNa5qysvLm9QG+p133oFGo8G3337rxF91c7hl4mKeu8LXbRozZkyzt5mRkYG0tDSEhYWhoqICnp6eCA62rzBkY+zeTeOxx7hp0owZDHbs4ByIy5cbsHhxw5FhfPVgmqbRv39/6PUK3HefBNHR9Q+mXboQ7NypR3i45SkqKAC2bBHhxx9FFnkvnp5cvTK1WgKNpnXa0yUSgvHjWTz4IIP771dDLrdcpUZH0/jgAxlOnmzcZHbnnQZ8/LGmWX6SY8dEmDdPjvx8GmIxwZQpBly5QhtXNU89pcOqVVrYW9rpZotLXczrbpWVlaGmpsaiT4qnpydomjbWqevUyb5gi5aGYYB9+8TYsEGCqCjTuR86VIcxY2KxZEkPSCQ3/5pmGCAyUonkZBEWLdJi6dKGVy/5+fnIz8/HwIEDLZ4nhBhbPfABAgAskmxtRYW98sor8PDwwKeffurcH3YTuCVZVHzuCu9fEYvFzSqPD3AFBi9duoTs7GwMHToUwcHBTtkuT3IyhdmzuYt+1CgN/vyTE5aZMxm8/nrD31FQUICoqCh4e3tj2LBhMBgUuP/+hoVlwQIDYmN1FsKi1wMrVogQFibF0qVcQqVUSuDhQeDpSVBRIUZ5ubTVCgsA6PUUDh4U4bnnpOjb1w2ffipFWZnp9WHDWPz1lxrR0So8+KC+/g0BOHJEjAEDXLFqlRQaTdP2Z+xYBmfPqvDAA3oYDBR+/10CuRyYOlUPiiLYskWKUaNcEBdn/61yKx3lfN2trl27YujQoRg5ciQCAwOh1Wpx5coVnDx5ErGxsaitrYVOp7vlVZyrqoAvv5Sgf38XPPGEAlFRYojFBI88osexYyrs2VOGkSMLGxUWvR5ISaHx119iHDsmQlYWBWfc+iIRjIKyYYMUhYUN70d9RSv5Ei6dOnVCeHg4Ro0ahf79+8Pd3R3FxcW4cOECoqKicOXKFeTn50Pz7wVdW1vbYg79VatWGdsa8xBCsGzZMgQEBEChUGDMmDFISkpq0vZv2cpFp9MZk6Nqa2tx6tQp3H333U3aFl8x2MvLC7179zY60a5cuQKRSITu3bs3a19VKmD4cAlSU2n06lWJ8nIX5OeLMXo0i717bYfLApbFMPv06QN/f3/U1ABTpkhw5kz9g9W+fTqMH295WpKSOHGLieE+5+rKva7ROF71uLWhUDB47LFavPwyQUiI5W+5cYPCu+/K8McfDRvWg4NZfPqpBnfe2bQRhRBgxw4xFi2So7qagqsrt4o5cUKEnBwaUinBypVaPPdcw87+2tpaREdHY+zYsU3aj5bEvE9KZmYmDAaDVeHNm1U1ICODwjffSLF1qwTV1dwB9fIiePZZHWbP1iMggLu+q6urERMTgzvuuAMAVz3i+nUaV6/SSE6mkZLC/T8tjTaa0HikUoLOnVmEhBCEhLAICWExdiyDbt0cy2siBBg/XomLF0WYM0eHTz7R1vveGzduoKqqCn369HHoO/ioVn5Vs3v3buzevRsBAQEICwvD+vXrLWoLNpcLFy7gkUcegbu7O8aOHYt169YBAFavXo0PP/wQmzZtQrdu3bBixQqcPHkSKSkpDldmvmXiYh5urNVqcezYMUyYMMEhn4t54yxbFYNTUlLAMEyTIovM+fRTEd5+W4yOHQlGjcrBjh2B6NSJ4MIFXb02WLVajdjYWLAsi/79+8PFxQUqFTB1qgSnTtn+jSNGsNi5Uw/z2AOGAT77TITly0XQ6SjI5Zw/JT+/bQuKLWiaYPToUsydW40xY5QWxfri4mhMn65ATk7D18fUqXqsWqVFx45Nu6yzsijMnSs3mmbGjjXAYABOneL+njJFj/XrNfD0tP351iwu5sTExMDX1xdKpdLor6murjZWDeBLoTgzrJYQICpKhK++kmDfPrEx+rB7dwbz5+vx6KN6q1JAFRVV2L49BykpA3DmjAjXr9P1TqZcXAi6dWOhUgGZmTR0Ouv3SSQEH36oxdy5jkUEnjjB9QuSSglycmrqDXHOyGh6NKM5paWlOHjwIL799lvk5+ejpKQEgwcPxv3334+33nqrWduuqanBwIEDsWHDBqxYsQL9+/fHunXrQAhBQEAAFi5ciCVLlgDgxmY/Pz+sXr0ac+fOdeh7WoW4GAwGHDlyBOPGjbO7ro9Go0FcXBx0Oh369+9vU1X53tzh4eFN3s/aWqB7dymKiyl88okB779PUF0twXff6fHUU7ZnQLZaENfWAg88IMGJE7YHx6++0uOZZyzLn6SmUnjuOTHOneM+4+VFoNW2bJRXa6FXr1I89lgmJk4k8PHx/rc8ihgbN1bg1VcbdkK7uBC89ZYW8+bZl29UF4YBPv9cihUrpDAYKHTpwiIigsFvv3EO5s6dWfz0kxqDB1uf/7YiLpcvX0ZAQAD8/f2Nz5lXDSgrK3Nq1YCLF2ksW2bpS7vzTgNeeEGHceMsW1QTAly+TOO33yT47TcahYWW/jc3N4Lu3Vn06MGiZ0/G+P9OnUxVtxkGyM2lkJ5OGx+XLtE4c4bb1gMPcJMEd3f79p9lAU9PbozJyKiutwJGWloaGIZptrWE5+6778bcuXMxfvx4HD16FMXFxXjttdeatc2ZM2fC29sbn332GcaMGWMUl/T0dISGhuLy5csYMGCA8f1TpkyBp6cnNm/e7ND3tIokSvOyKvbAD97t27fHoEGD6k0oa043Sp4ffhChuJhCly7k33bAEoSFafH449bvNW+N3Lt3bwQEcImIajXw0EP1C8uqVXl49lkfs+1wFZXfeUcEtZqCWMxlxZeXO09UgoIIHn6YQb9+nL+GEAoyGYGrK+DqCty4kQwfHxkCAoKRnU0hN5dCSQlnpoqOpnHyZMu6665c8cHSpT74668qPP10EgICuNDZIUPEOHgwAydPDsXKlbanjyoVhbffluO33yT4/nuNw2YQkQh49VUdRo0y4OmnFcjMpJGXR+HRRw04fVqEzEwad9+txPvva/HCC9Yz4LaQnGgridK8aoC5A7qsrAxZWVlNqiacmkph+XIZ9uzhVF4qJXjiCT2ef16P7t0tz0tyMo2dO8X4/XcJMjJM15erqx7TpnGdR8PDWXTsSBpddYhE3DUeFMRgzBjm398MfPONBG+/zZlZ4+NF+N//1OjTp/Hrgwvl5+4TrnCr7Tm5s5Mo+dpinTp1wlNPPdXs7e3YsQOXL1/GhQsXrF4rKCgAAKsivn5+fsjKynL4u26ZuJhf2Pa2JWZZFteuXUN2drZV/3hbNFdc1Gpg7VpT98hPP+X+//LLRRCJfC3ea96COCIiwliyQaMBHn5YgqNHbQ/GL72UjfvuqwLAiUtWFvDccxLj4C2TERACVFY2b8CaOZNLvOzXj0V5OYWEBApHj3LdMQsKbG27n83ttG9PcMcdLFatMqBHD4LOnTnR3bJFhJ07nV948fx5d1y4MBwzZmgwd24OtNob0GpVGDHiKHbv9sdXX4Xh8GHbtuCYGBGGD1di1SrOV+JolPuQISxOnlRh/nw59u+XYOtWCcaNMyAkhMXRo2K89ZYcp06J8fXXaqMp81Y7yO2lsQx93gHNO6HNqwbw1YQVCoWF2JhP8vLyKHz0kRT/+x+XsEpRBNOnG/DWW1oEBZmOUUYGF0Tx229iXLliun6USoJJkwyYMKEMHTsmYtSooY38HjQqOBQFPP+8HoMGMZg1S4Hr12mMG6fE7t1qREY2Pk6Ixfi38GX977Gnf5S98D4yZ5V/yc7Oxssvv4xDhw5B3kDpgrrXRVOrObSKlQvA9V8xNHDWamtrjbkr5oN3QzS11THPpk00CgooBAYSZGVRUKsp9OtXjdGjqwCYxKW0tBRxcXHw8fGxaEHMssCMGWIcOWJ7VHv1VQNmzCgCy3KmwPR04M47pcjL406kREKg1TZdVJYtS8SMGZ1w5owL/vyTxowZzc82Ky6m8PvvIvz+u+XzcjnBvHkMhg9nQQjwyy80Dh50Vh9xCj//rMCePV3xzDMeuO++VHTvHoSysjK8+eZFjBsnxptvjrL5WYOBwuuvy7F/vxhff60xOortxdsb2L5dg6++YrB0qQxHj4oRHMxi1iwdtm+X4MABMUaOdMFPP6kxbJjzC2C2FI4OGDRNw8PDAx4eHggODobBYDCa0K5fvw61Wg13d3eIxe2wY0cQfvzR1Zhfdc89Brz3nha9enHHR6cDfvtNjO+/l+LSJdM1IpUS3HWXAQ8+yLVPcHEBUlNr8ddf7bF3rwypqTRqa7m8LZWKMw+rVBTUakCrpdCnD4OpUw144AF9gy0Vhg5lceqUCs88o8CxY2KsXStFZKS60WNgr7g4u/yLs1ocX7p0CUVFRRg0aJDxOYZhcPLkSXz55ZdISUkBwK1gzDvxFhUV2dWSpC63zOfC57jwnDx5Er179za2LjWnoKAAiYmJCAgIQPfu3e0+eQUFBcjIyEBERITD+6fVAr16SZGbS+GFFwz45hsRGIbCDz+kYMgQLbp3727RgrhHjx7o1KmTxQ37/fc0FiywPaDPmMFg40YDrl5N/rfnRA+MHy9FVhbntNdqGy63Uh933JGH6dOvw8WlHbZv74YDB+w7Vj17svD3B7y9uYABhimGWEyBYdqhsBDIyaEcCsft0IHBtGlXERamxtGjXfDnn44XCq0PX18NVq7k2hrTNOcryM8vw8qVLti2zbo9NY+HB8G6dRo8+KBjiZE8Fy7QmDVLgexsLnpsxgw9Tp3iSvaIxQQrVmjx1FMVuHjxQrNztlqa8+fPIyQkpEkFXG1RXq7Bl18SfPONN6qruclVeHgVFi8uw113cc27qqspbN4swVdfSZGXx11LXBAH1xLhvvsMEImAs2dFOHlSjJMnRYiLo5t0H4SHc0Lz8MN6dOlie4hLTaUwaJArRCKC1FQV2rVreCjs2NEV1dUUYmNrEBJi+73OzB8ihKBTp044deoU+vWzbUlwhOrqaivz1tNPP40ePXpgyZIlRlP+K6+8gsWLFwPgonp9fX2b5NBvFWYxwLYJi2EYXL16Ffn5+cZQXkdozsrlf/+jkZtLISCAICODs7NOnsxg8GANWJZAp9MhPj4etbW1GDZsGNzreAZzc4G337Z9eO+4g8W333LZ5TRNo6iIwsMPS5CVxflXmpKnMmeOAePGpeLwYQOef972LB7gROSRR1iMGcNi8GCuImxmJlBRwc0Auax+CmlpGmi1FLy8uBpmgYEEnTtz/wJcVeWUFBqnTlHYvp0r2mlOfr4IX33V2/j3kiVc3afvvhMhIaF5/pqiIjlmzwa+/ZbB+vUa9OolQVCQH775Bpg9uwbjxtle1VZWUnj6aQX27dPj0081jWZb12XIEG7Gy5vJNm2S4q67DAgNZXHokBhvvCHH6dOeePLJFqpH4kScVbjSYOCy2Feu9EFuLndee/ZksHhxBQYOzEN5eRkOHNDgwIEw7N8fhJoa7p7w82Px/PN6zJihx7VrNI4fF+Ghh5S4dIm2akYXGFiLCRPEGDiQgZsbZzJTKrl/XVy4fymKS4jdtUuCEydESEjgHmvWSLF7txojRliPA2FhBAMGMIiJEeGPP8R47rmG86r4OS0XrWZbXPiqyM6AN4s5K8/Fzc3NKkTaxcUFPj4+xucXLlyIlStXIiwsDGFhYVi5ciWUSiVmzJjh8Pe1WrNYTU0N4uLiQNM0IiMjm9RDurGe9/Wh18NYmXjUKBa//CICRREsX85dONXV1YiKioKHhwciIiJsFqd79VUxqqqsb96OHQl27zZFMVVXS/D8852RlkaDoojDOStz5jCYO1eDt9+uxWOP9bT5nkWLDBg7lkVkJEF1NRe5c+gQjZUraVy4QKGiwtZ3dqn3O318CIKDCYKCOJ/LmjUGDBvGIjMT+OOPEuzY4YPSUkub7urV3PHs3ZvF99/rkZHBdaVsDhcuiDBqlBJLlujwyis6SCTA4MEERUXV+OADGdavtx15+NtvEpw8SbB+fSUmTpQ5NMjWNZMdPixGWBiD2bN12LxZgr/+kuPy5ZEICqLQu3frNZM1V1wI4TLq339fipQUbtTt1InF229zBUZFIilSU4Px00/dsX27xBgWHBiowv33X8PQoRqcPdsFY8e2R26u5XXQpQuLO+4wYOBAFq6uRcjOViE/PxQbNkiRkUHD05NbNU6aZECnTqyxoOSTTxrw5JMGlJYC+/ZJsGmTBBcvivD443L880+tzUoODz+sR0yMCL/+KmlUXMRiAoC6aWYxtVoNlmWdZhazh8WLF0OtVmP+/PkoLy/HsGHDcOjQoSbtwy0zi1nWlgIuXrwIPz8/BAYGIjc3F1euXEFgYCC6devW5JlARUUFYmJiHA4L3byZxty5Evj6coNodDSNJ55g8P33ely6dAmlpaXo3r07OnfubPMGNS8TU5f8fK1xxlxVBYwbxyIx0fFeHRIJQWqqDr//rsNrr1mf+GnTGHzwgQGdOwP79tH47Tca58/TyMpquUim0NAaDBhQjoce8sLo0RJcvEjhww91OHfO9kri7bc1CA1l8cwzjk8c6tK3L4MNGzTo29c0oJ8/T+Ouu5QNmlWeeCIF8+aVoV07Lty2IUdnXaKjacycqUBeHg0XF4JZs/T44w8R8vJEUCgI1q7V4PHHm2aCa2mioqKMlXsd5cwZEd57T4bz57lB1MuL4PXXtZg9Ww+5nDsu69ZJsX+/KZdl+HAD5s/XgxBg82YRjh2TGF9zcdFh0KAqVFYqERfXtGvB1ZXgr79qLRq/1dYCkyYpcfmyCGFhDI4cqbVarebnU+jRwwWEUIiPr6nXhAYAYWEuKCykceqUCv362Z44ONPcWFRUhK5du7bZsvu3tLaYTmeq0xMTEwN3d3eoVCoUFxcjPDzc2EipqVRXVyM6Ohp33nmn3Z8xGIC+faVIT6cwbhyLo0c5+3pMTC2qqhJQWloKNzc3DBs2zObnKyqAAQOkNpMcr1/Xgg9wU6mA++9vOFO/PpYtM+CBB1j062c9M7/vvnSsXdsRcjnw008ifPWVqNGSFS3F8OEshg0rQWRkISoqemD5crGV+QwApk3TIyKCweuvN6/nsFhM8OqrOixerDNWTVCrgaVLZfj22/rzp0aMqMKiRfGg6TIolUqHkgiLiyk8/bTcmL/x0EO1SE1VIS6uPQBg5kwdPv5Y22LtlJvKmTNn0Lt3b3jWlw1qg6QkGu+9J8OhQ9xvVSoJ5s/X4eWXdXBzAw4eFGHdOinOnTOtRCZP5lYYKSkibNsmRkmJ6Xr392dRUODckPbFi7V4+22dMXKsoIDCuHFK5OTQGD3agF271Fa5T/feq8DJk2KsWaPBvHm2Vy8lJRRCQrhJ0vXrNfUWzzx79iy6d+/ulCrsGRkZGDBgAHQ63U1tge0sWo1ZjBCCzMxMuLq6YsSIEQ7NIOuD9+M4YgL49Vca6ekUvL0JeN/X00+rkZNzBi4uLggJCTEWnbPFO++IbQrL3r06o7BotcAjjzRNWA4d0uHUKcpKWF55xYB581TYsycb773XGdu2OX4xhoayGDCAoH17oLq6AhqNAe7u7VBbyyWkZWVR9faHscW5czTOnfPF55/7YuJEBp98YkB4OMGWLTTWrDFdert2SbBrlwT33GPAxIkGvPxy0869wUBhzRoZ/vpLjA0buPbFCgXw8cdaTJxowAMP2J4VnznjjszMSGzcWIPg4GKUlpbi6tWr0Ov1xsKC3t7eVl0HAS40e/duNT74QIrPPpPht9+U6NlTg2ef1eHHHyXYvFmKmBgRtmxR1+sEvhU4ck+UlXF9cH74QQKWpSAScau0JUt08PUl2LlTjI8/luLaNe6ak0oJ7rvPgM6dWZw9K8ILL9hemdsrLJ07V2HoUC26dBFDr1cgL48zY9lizRoZtm+XICpKBQ8PrlncL7+ocffdSpw4Ica+fWJMnWq5muQd+Q1Z0E+f5n5bz55Mg1WZnZnnwvtb2kLelC1uubgQQpCdnY3i4mJ4eHhgyJAhTnOIiUQiEELsvpEYBli9mrswOnQgSEqi4erKYNSoU+jUKRAhISHIzc2tN0jg1CkKP/xgfWHdey+Du+7iLkhCgGefFeOffxz7jZ06EXzzjR5PPilGYaHps+PHs/jf//S4do3C9OkuuHx5dKPb6tuXxZNPsujWjaBrVxYBAVz/8aIiCoWFFAoLgeRkBmVlBoSGcoUxvbwAT08CT0/AwwNQqxmcOJGDhAQW1693wenTDdekOnhQhIMHRZBKuZDls2e1uHyZtRh4DhwQ48ABMR58UI8xYxgsWNA0kblyRYTx4zlfzOuv6yASAePHM7h2rQaTJyuQmmp9jnJzaUyc6I6VK6V44QVfAAS1tbXGroPp6ekWpey9vb2NvjaxGHj/fR2GDGExd64MycneKC1lsWgRJzDx8SKMHu2Cr7/W4N57W4eZzJ57gmGAzZslWL5cauz4OGWKHu+9p0VoKMHff4uwfLkMiYnc8fTwIJgyhTN9/fmnxOHcLJGIGB3vNTVc8zagBhKJDjodoFLlIzLyBgIDlXj3XW94eXkjM9Md33wjw9atJrHJzqYRGOiGnJxquLsD4eEsHn1Uj40budDnuuLC1zZzd69fNE6e5H7jHXc0HCDkTJ9LTU0NXF1dBXFxFIqioNfrkZSUhPLycvj5+UEikThNWADLzH97trtrF1cIz8WFGBMLp027jrFjw40h0vUlZmo0wAsv2D6cn3xiupj/+IPGb785dvG99JIBd93F4t57LVcrGzdyPWQ++ECETz5p+FQ+8ACDhx9mMXEii4oK4OhRGjt20Dh50rapyjyPxxY0TRAc3AGRkVI8+iiFNWt0aN+e4J9/aGzfLqq3GoFOR+GLL8T44gsxRoww4I8/VCgvp/HMMyaR+f13CX7/XYIXX9TB05NgxQrHiykyDIWVK2U4fVqEH37QwN+fwN+f4Pz5WqxaJcWaNba3+dZbcpw7J8JXX2ng4eECFxcXBAYGGgsLlpWVITMzE0lJSXB3d7foBnnvvQbs31+FJ55QICvLHWvXSjF3rh4XL4pw/rwIM2Yo8NJLOrz3nrbFGlzZS2Picu6cCK+/LkNcnGnGvmaNFqNHM4iKEmH+fJP5y8OD4KGH9NBqKezcKWly/yCGoWy0WvA0+78vNmzgana98UYq+vePh5sbi/nzvfDEE36YONGyb9PKlTJ89BFXZJL3kcTHW1+X1dXcvw2VgnFEXJw1hrVkReSbwS2tinz8+HEolUr07dsXOTk5UKlU6Nu3r9O+gxCCv//+G2PGjGnUzMaywJAhEiQl0ejf34DYWDG8vHRIStLA29s0EBUWFiItLQ0jRoyw+Pz774uwapX1AP/22wa8+y53QVZWAv372/bH1MeaNVyo64MPmoSlXTuCQ4f00Gi4VVBysu2LuUMHgtWrOWE6f57GkSMU/vmHxpUr1u8XiThzmJ8fga8v4OJSDbG4FnK5LyoquNIzFRVAWRlBWRmBVmv9W6VSrs3xxIlcU7CiIgrffqvG/v0NF3CKjDRgyRIdVCoKM2ZYm1DeeUeLkydFdvV4sUW7diy++86yYjJfiLA+QkNZ7NihtipRwqPVao2rmvLychBCjD050tLy8dtvd+KXXzgFmTRJj/btCTZv5s5hRIQBmzZp0KHDrTOTnThxAoMGDbJKRs7Lo7B0qcxodvL05Oq0zZ6tR3IyjfffN/lc5HIu6READh4UW1Ulvhl8+WUJRo7MRVlZGa5dYzBvnqV/tbKyGhTF1SobM8YF3t4sMjJUFtn8w4crceWKCHv21GLsWGvxKCig0K2bKyiKICOjBvW5U1iWxfHjxzFixAinVJfeu3cvVq9ejbi4uGZv61Zwy1YuUqnUmDRpb/kXR6Eoyu5cl5MnqX/NYCxcXIoABOCRR2gLYQFshzcnJVH45BPbq5FFi0zfvXSpbX9Mfbz9tgHt2xvw4IMmYXzgAQYbNhjw5ZcifPih7dPn789ixw4D+vUj2LyZxpAhUuTkmJfbIRg4kGDcOBbjx7Po3ZvAx4crj1FczK3CbtwoR1FRObp184FeDzAMAcvmorz8Cnr06A6aDsTlyyJcukTh8mUaly5RKC+ncPEihYsXaaxYAfTowWL8eD02bYqFUtkbixeLLZqb8URFiTFlihjDhxuwZ08tKioozJxpEpkVK2RwdydYv17TJFNZSQmNadOUePVVztkrkQCjRzNIS6vBAw8okJBgfe6uX6cxdqwSGzeqcc891tePTCZDhw4d0KFDBxBCUF1djdLSUhQXF0Mi0eGZZ46jS5fuWLs2EPv3SxAWxuCdd7T44gspzp4VY+RIJX78UYPRo517zdtL3ZWLVsv1K1mzRgqViivXMnOmHkuX6lBVBcydK8fOnZzgiEQEAweyEIsJ9u0Tg2WdJyoTJxrQty8DrZZCTQ2Qk1MNtVoMtdoVFy5Yn6cXX2yH3buVGDeOQf/+BgQE5OD++00JjD/9lIaxY0Xo2NEbIpESZWVc/lqnTiZh581ibm62xf7UKe57+/Zl6xUWAMZxwdlmsbbKLfW5tG/f3liLqbHyL03FXtE6fJi7wIYOzUNiIpflfe+91rNWW2K1bJnI5qztl1/04Gv7RUdT+O47+5fL8+YxCAxU4+mnTWHGa9fqcffdLO65R4LYWNvbWrjwEl59tSu2bnXBo4+aIsX8/AgmT+bEZMwYztF95QqFqCga771H22hc1gXWuS4h/z44IiJY3Hkni4ULDYiIICgsBE6fprF7N40jR7g+G1ev+gDwQffuLJ55hsGoUSz+9z+ui2Zdzp3jRCYiwoADB2rxzz8ifPIJJ+5VVRQWLJBjxoxKsGwFduzobPexNB0/GU6fFuPHH9UICiLw9SU4daoW77/POePrUlND4dFHlVi6VIvXXtOhPisSRVFwd3eHu7s72rVrh5iYGHTtGgovr0L4++dhxYp+SE1V4NNPgQULarB/vxKJiSJMmaLA22/r8NprOofrnjUXc3E5eFCEN96QIz2d24khQxh8/DFXKufDD6XYvFlizL8KCmIhkxGbA70jeHoSzJ2rQ+/eLHr14nqt2CrJdeVKGhQKBYKDg5GWRuGrr6TYuNHSPDx1qvLf8GAxxoyx7Hmydm1vDBlyEdnZ2QgMdEdmpjuOH6/AtGkSY+6cyedie195k9ioUY2bxAA4zSzmzLpit4Jb0onSFi2xcrF3uyqVCn/9xdUWCgtrj6IiEVxdCe64w3omU3flkp8P7N9vfRh792Zx//3c+/R6zh9jbxmL0aNZBAeXY948k7Ds3s0Jy/jxUpvC8vrrBty4oUVhoQv69XPDW2+JUVjI1UX7/HM9UlJ0+OwzrirAqFFSeHvLMHKkFIsXixvsiNkQZ8/S+OADMe69VwofHxl69ZLh9GkaCxcySEvTYeNGPcaPV0EiYZGSQmPpUjEmT5ZAIgHOntVi9Wrb7SPPnhXjnnuUKC+ncOKECgMGmM7ftm0e2LGjM779tvFaULY4f16EkSNdcPQoN2DQNOeM37Kl/u0tXy7DrFlyqFSNb58ftNu3b48ePXrgmWd64cSJagwfroJaLcKaNW7o1CkXEyeWgGUpfPCBDA8/rEBpaZN+TpPhWoKL8fDDCjzyiBLp6TT8/Fh8840aO3fW4s8/xejXzwUbN3JtByQSLrDjxg3aZkCEPYSHM3jjDS1WrdJgyhQ9Dh4U4913Zbj3XgVCQlzh7+8KLy9XdOrkiunT5fjhBwlu3DD5Ybt2JfjsMy0yMmpw552WE9FRo1yM5+fZZ00pDjduSI2dH11cuFVvRUU5oqOjERUVhYSEFFRVce+tz6HPm2NHjWp48ss3P3SmuDQleby1cEtXLhRF3fKVS0FBAc6eTcG1a3cBgNGXcNddLGyZTeuuXLZuFVmVqwCAbdsMxpnuF1+IkJho3wVH0wQjRuRiyRJTz5ING/QIC2MxcqTUZtn9pCQtamsp3HWXBCkpPQAAYWEsXn+dwfTpLGJjKUyYIMH58w3vQ1gYizvvJAgNJVAqS1FRkQeVikAm84KXV0fU1NBITaVw8iSFtDTb29qyRYQtW7jBp0sXgnfeKcErr8QjL28wvvqKqxX17bcifPcdjUmTDNi9W4XkZBHefNPa3LVxIzdr/vxzDfz8CB56yHSjzZ2rwAMP6NGhA8GGDfb1AOKpqKAwbZoCK1aYSuZPnWrA2bMqRETYdqD+8YcEaWk0tm1To3Nn+30lFEUhKEiBAwdYrFihxaefynDwYBD69avBrFnXsW1bFxw+LEZEhAzffluG0aMVTg1qsUV1NcGWLb2wd6839HpOOObP12PBAh22bpWgf39XY9UGmuZ+q15PobLS8e+iKILwcBZSKZcn89FHjfsiqqq4DPt9+yQABiI0VIONGxljgqSPD8H332sQGalEfr7pWJ04IcKkSQzuucdgtboBKGRlcWa9u+8ORnBwJ1RUVODvvw1gWQqenhrcuHEBtbVchWcPDw/QNI3sbAoZGbRFJFt9OLtoZVtfudzyUGSem71yMW9BXFk5FIRQ6NGDRUwMd1NNmmTbkWu+ciGES1Ssy9NPM+jenbspMzK4vvf28sUXcXjxxf7Gv998kyvdMnastbCEh7M4dEiP33+nsWiRGBoNBW9vDT76SIfHH5fh9GkKbm62b+bAQIJXXjFg4kQWIZZBNiCEICHhBvLy8tC7d28EBgaAq6VkeRxZlvt9iYmcKWz7dsvfmZlJYfbsDgA6YOpUBps2GVBYCHz+uQgHDoiMA8jw4Qbs3l2Ls2dFWL3acn8NBgovvKDA4MEMDh9W4fvvGfz6K2e/4Fsfb9igxvz5jlU5YFkKb70lR3y8CJ9/roFCwa02MzOr8cADSsTEWJ+zhAQRxoxRYseOhisg24rCEomA997TYfBgFvPmyREX54q8PCWWLq3F999LkZUlxYMP+mL27CQ8/ngVfHy84ePjY1fPFHshBPj1VzGWLpUhP587huPHG7B6tRYxMTRGj1Ya64Nxv4M02Z8SFsagqIhGZSWF+HjTsXR3Jxg4kMGgQZxY+Ptzkzi5nAsIkcm4rPmjR8U4elSEs2dpXL8ux6RJBD/9ZPJ/+fgQ/PCDBpMnmyYcX38txaRJagwebH2/FxdTqKnhfElBQQRisRjt2rVDQgJ3vU2aBAQGdkRZWRlyc3PBsiw8PT1x4EAoAFf078822ljMmZFiQNsXl1sWLQZw1Wz5gbqyshKXLl3CuHHjnPod0dHRCAwMNDbuAkwtiAkh6N+/P954wx3ffSfCffcx2LtXBJomyMrSoX176+1pNBocP34cEyZMwKlTItx9t/WsubhYCzc37maeMkWCQ4fsu+C+//4knnvuDuPfjz/O4N13DbjzTkuHPAA89hiXlPjKK2JjH5W772Ywa9Zx9OrVDw8/7I1r1yy/t317gq++MmD8eFM9JoMBuHCBwoEDNE6donH2rH372q0biwceYDFhAouePYnR0VlcDBw4QGPVKjEyMmwPTFu36tGrF4svv6SwbZvEWKhz2jQ9XnxRh++/l2L7dtuxui+8UIGgoAwsWTLA4vnXX9ciMVGEAwccny8NGMBg2za1sTWywQC8846s3hWRWMzNnG1VV66qqkJ8fDxGjhxZ7/ddv07hyScVSEwUQSQieOUVHVJSaOzdy/3miRMrsGBBIgyGMsjlcnh7c0Lj6enZ5F4hcXE0Xn9dZgwf9vNTYe1aFu3bi/DmmzKL0vfOxM+PxaRJBvTvz0Kp5HoTabUU8vIoyOV8EUpuVWAryfTkyQSsWtUPZ864gKYJvvhCi6eeMmXR3323AmfPmo5JVVU1srIohIe7Wjx37pwIEyYoERTEIjGRs58RAvTv74KMDBo//6zGffcZ/n2eoKamBqWl5Zg0KRg5OUo8//wVzJxZbQw9t9Uxt7y8HFevXm1SFXZbLFy4EN7e3vj444+dsr2bDrmF6PV6otFoiEajIaWlpeTPP/80/u2sx+nTp0lqaqrx7+zsbLJv3z5y6dIlolKpiEajIWFhDAEIuesu7t+ICKbe7VVXV5Pdu3eTmpoaMn26gXCXqOnx7LMG43t/+01n9Xp9jylTrpP77680/t2nD0OSkjSkc2fW6r2LF+vJ+fNaEhrK7a9YzJKVK/WkqkpDHnsszer999xjIAkJWuN+FRVpyBdf6IhIZL3t5jy8vVnyww86UlLCfU9FhYZ8801hve//4gs1SUysIk8+qSUUxe2LRMKSF1/UkoMHVUQms71/YWGV5NixGnLffZbHt0sXhqxfr27Svvv6MuTQIRWpqqoyPr75prbBzyxdqiGVlVUWn8nOzib79++3eM7Wo6Cgijz2mGn/77tPR954Q2M8J126MOTQoUqSnp5OLly4QP7++2+yZ88ecvz4cRIfH09yc3NJZWVlo99z40YVee45LaFpbrtKJUveeaeWfPnlETJ1qtap559/tG/PkP79DaR3b+v7o7HHE0/oyD//1Bj3/9ixYyQp6Rp58kmt8frIyKg2vv7MM5a/IS+vihw9WmPxXFVVFfn6a+5cjhmjN3720qVqAhAilbIkN9f62O3cqSIAIe7uLElKyiKXL18mR44cIbt37yZHjhwhly9fJpmZmaS8vJxUVVWR9PR0cvjw4UbPib2PRx99lLz33nu3cohuFq3Koc+yLIiTF1K8WYzvYhkbG4uePXuid+/eEIlEyM4GUlNp0DQxJlNNnly/yYO3qZaUMFZmIAB49lnTkvybb+yfDT7+uAf+/NO07j5wQI9HH5VYFZpcv16P6dNZTJwowfXrNAIDCY4c0WPKFAbu7jLs2BFqfG+vXizi43X44w8DunYlOHCAhlwug6+vDC+9JLHpK2oOZWUUZs+WoF07GeRyGRYuFGPoUB2OHj2GpCQtpk+3NFe89JIcffq4YdAgFseP12LsWAP0egpffinFY48p8MknWnzyibXTPzXVHWPHumD0aAY7dtQan8/MpLFggRxffmk7UKAhiopo3HuvAr/+apoFz5jBRa3Vx/LlMrz4ogz6hovp2kSpBL79VoPPPtNAKiXYu1eCnTsl+OwzLYKCWGRm0pg0yQ1btgQgLKw7IiIiMHz4cPj6+qKqqgqXL1/G6dOnkZSUhPz8fIs6fQBnsvz5ZzEGDnTB999LwbIUpk3T4/jxWlRVAa+8Mga7dzvmq2oIT0/TfVtcTCM2VoSkJMdXQ1u3SjB+vAs2bJCAEM58LZPR+PJLLfr1Y6DXU/jtN9M5qpuHVFJCoaTE+rrm2yYHB5vef/Agt52RI7lS/nXhV65PPaVHYKAXunbtiqFDh2LkyJEICgqCXq9HcnIyTp06hZiYGBQWFgKA08YwZ5bbvxW0GnHhl/vO9rvQNA2tVosLFy6gqKgIERERFiayY8e4Q9CjB8Hly9xF2ZC48PZ080GIx8+PYMAA7sLKygL++ce+wXvx4vN45BFTk7TYWB2++so6COCVVwy4+24W994rQVkZhSFDWERHc+VNeve29FWcOaPD5ct6dOtG8PffNBQKGR544OamhW/aJMLAgZ0wbtxYJCXR2LjRgLIyLT76yNKctHChHKNHu2DBAh1+/70WPXsyqKjgQo/37RPj8GEV+vWzvi4WLZLjhx+kOHVKBW9v0zl78UU53nhD22h0T110OgqzZyvwySdS8OPDiBEMLl+uqfcz//ufFA8+qEBFhek5e8t1UBTw7LN6HDxYi06dWFy/TuONN2R4+WUdHnhAD4OBwrJlMkydqkB+PgWFQoFOnTqhb9++GDVqFPr06QO5XI6cnBycPn0a58+fR1paGs6cqcHEiQo8/7wCJSU0unVj8McftbjjDgaTJinwxRcK6PXONYPZbtvQdN54Q46XXpJBr2dB0zQoCpg+nVPxbdtM13HPnpb3qq8vsTIHA8Dly9zv7drVWlwmTrS+TpKTaRw7JgZNE8yZYyncUqkU/v7+6NmzJyIjIzFkyBC0a9cOKpUKKpXKQvS1Wm0Tj0Db97m0GnHhVwTOjhjT6/W4ceMGFAoFhg8fbnWy+N72LMsNLiEhBD161D/z4EINRdiyxXrWN28eY4wQ+9//RLAn9HjAAAYXLpiaoM2axUClAj76yFK8hg9n8corDO69V4LcXC74YPduPY4coTFqlGlfevWqREJCDgYNIjhxgoJcLsOUKbe+edUjj0igVMowf74YzzzDoKpKgw8/tFxhTJumxNNPK7BjhxorVmgglxMcOybGAw8o8dRTevz4o3W48JEjYkyerMSWLRo895xpEPjoIxloGli61PGbe/lyGRYsMK1IunYlyMioRs+etic+x4+Lcdddyia3Mxg8mMWpU9zKrbaWwmuvydG+PVeyX6kkOH5cjMhIpUVXUZqm4eXlhdDQUAwZMgQjR46El1cXfPRRB0ye7I9z58SQyxm89loh3n23Cm+/LcPChXKLqsStnc2bpfj77wCjk/zhhw0QiwliYkRIT+eOdd1Vo1LJ1TXjGTvWgJISCseOcceOF5KKCiAqivdVWo85X3/NbePeew0NluGnKMpYIiggIADe3t4IDw+HQqFAbm4uzpw5g+joaFy7dg0lJSUOjW9tvfzLLb3SzGd4jmTT2wMhBNevX0dpaSk8PDwQHh5u5QwlBDh+nDsEfD2kyZOZepPleNLTPZGYaL1yefRRbt+5gn/2zQyfeYbFsWNBxr8/+MCA2bMtty0SEWzZose0aRJcu0ajUyeCvXv12L5dhKeeMt1I775rwJdfxkCpZPDkk2KbwQa3mh07RPD1leGJJySYNq0E6emFeO01kwBUVVHo188VOTk0jh6tRUSEATU13IC7caME27cXwMPDciZZVUXh3nuV6NqVxf/+ZxKgEyfEWL5chk2bHM+J2bJFioceUhhzIHx8gFOnajFtmm0bWEqKCOPGKRET0zQh9/Eh2LVLjddf547Fd99JsWOHBDt2qNG3L4PSUhqPPqrE4sUyaOpY/QgBdu1S4p57gvHrr/5gWQr33qvG55/fwJkzYjz5pBeuXGl7JdsB4LPPegHgbsj27QkCAriBvrSUe+76deshjO8zAwBvvqnDH3+IwTAUBgxgEBbGff7gQe65Hj0YBAdbikdpKbBjB3ce58+33+bJsizEYjE8PT0REhKCwYMHY9SoUQgODjaa5U+dOoXLly8jMzMTVVVVDZrQhJWLE3FWrotOp8OlS5eQm5uLgIAAKJVKm6aK5GQKBQUUpFICvop+fSHI5hw5EmT1XMeOxBjSe/QohezsxmexTz3FGDteAsC33+qxfr3IqlbYyZN6PP+8BBcv0vDxIdi3T49ffhFh0SLTZw8d0uHttxlUVUkRGtrZGEHWWvnzTxF69uyEZ57R4Y47TuP48TgMH24aNb/5RorISBesWKHFxx9r4OJCcOaMGHPn+uLFF5Px6qvWK5IlS+TYu1eM06ctsx1nzVJg40bHBebYMTHuvluJvDzuXEqlwE8/aWx+N8D5Gh5+uD3OnPFz+LsALlz53Xd1+OWXWnh6Epw/L8KsWXK8/roO8+dzgvrNN1KMH69ESgp3jSQl0bjnHgXmzFGgqIhG164sNm5UIyBAhPnzu+DcOZ+GvrJNEBNjyoHiVyp84c+6+Vbm5kmAqzawcyd3nzz8MPdhQoCvvuImXrYi/jZtkkKjodC/P4OICPsnu7byXCQSCXx9fdGjRw9ERkZi+PDh8PPzQ3V1NWJjY3Hq1CkkJCQgNzcXarXpGiWEa3F8M7tQOptWJS7OyHUpLy9HVFQURCIRIiIioFQq6211zJvEpFJu9uvhQTByZMPOOLUaOHq0g9XzixebLtJNm+wb2KdPZ4z9UTp1YtCrF7HocwIA332nx8mTNP75h6vWvHu3HjducH1jeI4d0+GOOzjfytSpkXZ9d2vh+PFATJkyHr/95oWlS4/j449PWbw+frwLEhK47n9DhzKoqqLx4Yf9oFZT2L3b2tn+668SzJkjR1SUCr16ma6lZ59VYP16Ddq1c6z1cFISF8KamsqdJ4oCli3T2Qw0AACtlsaKFQPwxRcSNNWve889DE6c4PxMZWU0nnxSAZYFtm5Vw8eHRUKCCEOGuKBdO1eMGKFEVJQYCgXBm29q8cQTerz2mhzffSd1esBGS0NRtg/Y33+bcln4uScvLuYrl169GOzfb3n/5ORQOHdODIoiRiE5dkyEuDgRlEqC2bMtV8F6PfDdd9zG582rv+SPLezJc1EoFOjYsaOxakC/fv3g6uqKwsJCnDt3DmfPnsWPP/6IrVu3wmAwOG3l8vXXX6Nv377GMkURERE4cOCA8XVCCJYtW4aAgAAoFAqMGTMGSUlJzfvSWxipRhjGMuT3yJEj5MaNG00KOVar1SQ5OZns3buXXL16lajVaqLRaMjVq1fJ2bNnbX5m8mSDMZQXIOThhw2Nfs8//9gO38zJ4V7PydEQiaTxEN/HHjOQjh1N79u3r4z06cNYvCc0lCFXr2qIUsm975tvdOTaNY3Fe37/XUc0Gg3ZvNn+sOfW/DhxoojExCSSxx67YfXa2bOVZO5cU7j2oEEGcuxYDfHwsD7eSiVLDh+uITNnWp6vpUs1ZOJEvcP75ePDkBMnaixCRbdsaThU+dlntaS8vOmhqMXFVWT+fNP+9+1rIPv2qay+p29fA1m9Wk1CQhiHf1drevDh6HUfjz9uChH39OTec+ECdy74ewMg5KuvLM/HwoUasmwZd7+MHm0KQR49mjv/zz+vtTrmGzdy2/D1ZUhxsWPn6+LFi+Ty5ctNPt9lZWUkPT2dLFq0iAQFBRGKokjfvn3Ju+++S06dOkV0Ol2Tx9o///yT7Nu3j6SkpJCUlBTy1ltvEYlEQhITEwkhhHz00UfEzc2N/P777yQhIYE8+uijpEOHDqSqqqrJ34kmf9IJ1BWX48ePk4yMDIeFpbq6mkRFRZGDBw+SgoICi9dSU1PJ6dOnrT5TU6Mhbm7chckP8l98oWv0u9autR7EO3Vija9//LF9A9eBA6ZBo1u3crJlS5nVe+LitOSeezgBHDmSIRUVlsLy+efc/v71V8vkK9yqx/jxelJcXEUuXqyweu3VV5PJu+9GE09PbiD19GTJzp0q8tBDtsV127Za8tFHlrkvTz2lJYsWaRzeL1dXluzda5kLY2uwN39MmqQjBQXNy3f49VcV8fFp28LRnEf//jpSVVVF0tKqjc9lZFSR8+ct81kyMqos/o6NrSZ9+nD3z5dfqv/Nm+E+IxazJCmp2uI4V1RUkQEDuPe/9ZbG4fMUHR1N4uLinJLjUl5eTkQiEVm9ejWZPn06adeuHVm8eLFTx18vLy/yww8/EJZlib+/P/noo4+Mr2k0GuLh4UG++eabJm+/zZvFKisrERUVBUIIIiMjrXqC17fNS5coVFdz7Yx9fAgAIDDQ6m1W2CoauXIln9kL/PRT44fUx4dYVAV+7bUkfPedZYG6Rx5hcOUKhQMHRJBIuMz6xx4zLflnzWIwdy6Ly5cpqyZibZ1//hGjfXs31NaKUVpajYceMjlV167tgT17gvHRR8fQo0cFKiooPPaYAhEROnz8sbWpasYMBSgK2LnTZELbskWK8+dFWLvWsXyYmhoKDz6owJ49pvMwahSDqKj6K1ru3y/BvfcqbeZe2MuIEYxFLxqeHj1uTbn+mw2fQ3PiBHfPhIcz8PGB0ZfCs2ePZTBFeTmFxETu/rnvPu4aWreOu1ceftiAwEBi8f5ffhEjJoYrWvvss44nLzm7URjDMHj66aexbds2FBYWYunSpU7ZNsMw2LFjB1QqFSIiIpCRkYGCggJMmDDB+B6ZTIbRo0cjKiqqyd/TaqLFAMcc+oQQ3LhxA+fPn0enTp0wcOBAmyUZ6hMX3obevz8x9ljhy380RFyc9SDBl+ZPTKRsNuKqy5IljIXDnaZpqzbBixczePVV7uZZtIjB1asUDh40fWbDBgOuXwciI1tWWCQSroNjaCgLf38ChaLxY+Qs7rjDBW++KcPGjRr8/rtJHOLj22PevPH4/vtqTJpUCoah8NprLjh/vgQ//JBptZ0lS+Q4dkyMY8dMInDypBjffivBTz855ujX6SjMnCnHL7+YBrY+fVgkJtZALrd9bC5eFOHOO5XG8Fl7YVlg+3YxBg1yMTYeM+fq1dYdtOEsunXj7i9eXEaPZkAI8PHHpntm2TItFi40Of6//FJjLJL54IMGeHlx9/yff3LnbeFCS19LTQ2wbBn3/tdf57qqOgrLsk4rXFlby13vvM+FpulmhyUnJCTA1dUVMpkM8+bNwx9//IFevXqhoKAAAODnZxmI4ufnZ3ytKbSawpWA/SsXg8GApKQklJWVYdCgQfBuoINPfdssKzM1CCou5gShMXHRaoH4eOsBQqnkLqy9e0sBdLL+YB1KSkz///hjA/bssYw+mz2bwZYtNPLzKYSGsnjtNQbt2plupMuXdWAY68TJ5tKnD4vhwwmGD2fRr58Wly+fRbdud6C0lAYh3GBHUVxbW6mUy4ZOTKSQkMD1heFbQzuT776T4rvvpEhPr0FaWg26djU5OEeNCsSRIyoMHqzF8uUy7NzZCdnZZfjkk1NYtGiUxXY2bOAKf0ZHqzBsGHeTpqSIsGSJDDt31uLhh+0vbc6yFObMkUOn0+DJJ7nJUFAQQXJyDcaPlyM93VoI0tNp3HmnEr/+qsbgwY0HFVy+TGPxYrkxrLZLFxaDBjE4d05kUVzyv8CwYdwxPnGCG65Gjzbg4kXLY9C3r+U93qMHgxdflEMkIliyhIvuW79eCkIoTJxosEq+XLtWivx8Gl26sMbIPEdxZlVklUoFsVjslI6WPN27d0dsbCwqKirw+++/Y+bMmThx4oTx9bqTfUIaboXdGK1OXBpbufAhfDKZDJGRkY0e/PrEhe+fwecMyOWkwS5zANdcq25i5H33MdBqtYiLi8Ply8ENbwBcd0bziLAJE1i8/npHi/e88ooBw4ZxK5K1axmL6LPnn+eiyubMcc6pa9+e4KmnGMyaxaKqiutN8/33Ily96oLKyrsa/KxEQhAcTBARQbBsmQFKJXD1KoU9ewiSkpybuBkS4orDh1XIyMjF1KkyxMW1AwDceacLNm9WY8sWNebMkePcOW9otRHYty8XkydbHtft2yWoqjLg8uVqDBzIhXgWFXHRWHv31jbY9tgcmuaqBb/wggI6ncZoQvHxAfbty8f06S6IjbUOAS4poTF5shKbNtnubglw1XuXL5diyxYJCKHg4kIwahSD3FwKv/9+65NhbwURESxSU2lkZdEQi7kil++/b3nfT5tmOnfPPqvDqlXc69OnGxAaSlBQQBkz+195xVI8MjMprF/P3W8rV2ptttqwB2eaxWpqauDi4tKswb0uUqkUXbt2BQAMHjwYFy5cwOeff44lS5YA4NqPdOhgioQtKiqyWs04QqszizW0csnNzcW5c+fg7++PIUOG2KXqja1c+OTJjh1Jo2GHsbHWbwgLU+Ps2bOQSqXIz7cOUa7LvHmmfRk7lsXevZanYOpUBseO0aipoRAWxmL0aNYin+XDDw1IS6OMPVOaiq8vwbff6nHhgg5yOTBhggQjRkjx4Ydc87DKSj5EmsWQISyGD+cew4axxhWeXk/h2jUamzeLMG+eBE89JcH27Sz69UvHF1/k47nnGLi4OM+MdtddLti0yRUffnge779vyjWZOVOB9HQa+/fXwseHRUyMGK+95o9z51Tw8bGcoe7bp8DcuWrs2RNrfE6joXD//QocPFh/HTFzWJaCTMb9rldekWPDBtOgr1AQrFoVY8ypqItaTWH6dAV+/NFSKPR6YMMGCQYOdMHmzdwMe/hwA8LDGRw8KLbZivm/QseOwI8/coP/mDFckvO335rMwatWWfrO7r/fgH/+EUMsJsak1FWrpNDpKAwbZp27snSpDFothdGjDZg8uel5ds40i/Hi0pIQQqDVahEcHAx/f38cPnzY+JpOp8OJEycQGdmM1IbmRhw0F/NIrMTERHLhwgWrCC2VSkUuXrxI9u3bR7Kzsx2KJKuv2vKDD3JRIUOHclE4d9xRfyVk/jFvnnWV18WLL5KrV6+Sqip1vVV8zR/r1pmimrZs0ZFOnSw/c/y4lvTvz+3T6tV68s47puizHTt0RK12PMrJ/EHTLHn+eQNJStKQhQv1xMXF9P2uriyZOtVAvvlGRy5cqCUrV54kS5dqyJgxTYtUGjKEIevW1ZBnn00k/v7Oq8Dcr18xqaioIrt2WUZqPfmklpw/X0MCArj97dyZIefO1diszjtkSBXZvv0kkUoto/sOHaqxez9cXU2/aflyLrooMzOTHDp0iFRUVJF58xqO4lu0iKuqvGePivToYdrHkBCGREbq7bqebvdHt25lJCenyhjZ+fvvKvL++5b3gHnof1AQQ8aM4c7prFlaY4QYH+Z88KBltN/+/dw1RNMsOXu2plkRXn///TfJzMx0SrTYrl27SFhYGGFZ1inj7JtvvklOnjxJMjIySHx8PHnrrbcITdPk0KFDhBAuFNnDw4Ps2rWLJCQkkOnTp7ftUGRCCNFqTaXgk5OTrXJSSktLyT///EOOHz9OysvLHQ5TrqioILt37zbmvfAPfsDs25f7d/r0xnNchg+3HmSPHSsiGo2GXLhgXziwn5/pRjh1yvoz/HMyGWuV06JWa8iqVY7naPAPb2+WHD6sJXv26CwG+379GLJ1K5dDc8cdzg959fWtIStW6MmyZXrSrp1zBkyJhCWlpVUkKspSDMaN05P4+GpjzoefH0POnKkhgwdbC8zYsXqSkFBM3NxMr4lEDNm4McHu/eDzLgBC3n5bQzIyMsihQ4dIVVUVqaysIm+/bf9kwNOTJQMGGP7TYcd1HytXRpHVq7lQ8m7dDCQnxzLceMkSy+PL56lIJCxJTKwm5eWm8OLHHtPVCfetIuHh3GvPPmud8+LoY//+/SQ7O9sp4vK///2P9O/f32nj7DPPPEM6d+5MpFIpad++PRk/frxRWAghhGVZ8t577xF/f38ik8nIHXfcQRISEpr1nWjuTjcXc3Gpm5OSmZlJ/vrrLxIbG0tqa2ublFxp3n/F/PnwcO4G5nu5LFqkb3A7KpXGYpbPP6qquNe/+67xJMZXXjEJQ+fOLPnsM8vPzJljILNmcRf79OkG8sMPptc//ljfrFVLaChDLl3SkjlzTANpjx4M2bNHR3bsuDkJmEFBLPnqKx156SW903rJ5OdXkdjYaovnhg41kJQUU46Dnx9DoqNryMiR1sI8YYKepKVVW6xClEoD2bAh2u59aN/eJAYvvFBO/v77kMVA8fHHjfeYCQhgSMeOgqjUfezZ8xcJDuaOy9q1avLuu/XfAx07MmTECO4c82Lx+efcsXd3Z0lqqmVeC/+ap6dlj5imPv766y+Sl5fnFHH5+uuvyciRI2/18NwsWlXYiXnvleTkZCQmJiI8PBw9evRosqOMt4HW9bvU9bl06kQa3E5aGgWVytrnwkc/x8Q0vn9mlf4xbx6DU6csPzN+PItff+Wemz2bweLFJl/LU08x2L+/acegTx8Wf/+tx5tvivHdd9zxWLDAgO3bDZgyRYLHHrs5juIbNyi88IIE587R+Pprg812tI7SoYMbPDwIrl0zlcU/f16Exx9XYM8eNXr3ZlBYSOOBBxRYt06LESMsbeqHDomxcKEM8fEqox+ltlaE5csH48iRcrv2obiYRkAA59v56itP/PhjGIjZ5TR3rh7ff99wyHNeHv2fiwJrjIceysK5c+2QkUHDzc2AiIgifPCByc/6yCOWfq233tLizBkxpFKCRYt0KC01hRe/9ZYWfn6mk1JRASxfzt28b7yhNea6NQdn57m05YrIQCuoLWbu1BeLxdDpdIiOjkZ5eTkiIyObFa3Ab5+iKCtxqRst1qmBCGJCCA4csI737tvX5CyOiWk8qqOszPT/QYNYHDxoefgNBqC2lkLXrizCw4lRAIcOZeHhATz4oOMi0L49wdatBsyZw7VbVigI9uzRw9UVGDDg1iRfnj9PY84cCcaNY/DuuxqIxc27sYOD3SCREGRmVhufu3hRhEcf5QSmRw8GeXmcwHz5pQaDBlleC3/9JcGSJTIkJ5vyYAoKaLz8sjv++af+BElz8vJoY6+QX37pgpUrLY9tr16O1TQTAN55h8bWrb0BANOmFePLLy2jvH791XQ/PP20zigkixbp0LEjwfLlMpSXU+jdm8GcOZZCtGaNDKWlXK+b555rQre3OvCNDtuSQ7+lueXiYk51dTVUKhXc3d0xbNgwKJX25x7Uh61S/rW1MPZt5wuR1pfjotPpcPHiRaSnW2dzT5jADRgMYzv/pS5RUabDLZdzQsLTt68Kly5xf99xB8Evv5jeu3atATduNLp5KyQSgu3b9XjnHRGOHqXh6krw5596vPmmCKtW3foo9DVrpNi1S4Ivv9RYdAhsCsHBbqAoICPDtIK5eFGE55+XY+9eNcLCGGRn03jwQSW2bFFbNI0CgJ07JfjkEymuXjV9PilJhBUrZNi/374osrQ0Gt27c+9dvVqGjz+WIiuLwnPPyTFyZPOv5f8S48cbsGuXEtnZrvDxYfHCC+74+eeuxtcDAy1XglVVahQX0+jencErr+hw6RKNTZs48fn0Uy3Mu22cP08b+7WsWqU1FsFsDnxxXGfmubTlcvtAKxEXlmWRkpKC9PR0iMViYwtiZ1E3xJlftQAwmrpsiQtfWkYsFiMgoIvV6/36cZ9JS6MshML2PhCcOGE63HUz/R96qATnznGvDxvG4q23THfD4MEETz7p+PFYtoxBbCyNv/4SQSbjesDce6/ErioCN4ukJBHmzVPgtdd0uP/+5s0gO3d2g0hEcP26SSAOHxZj1Sop9u5Vo3NnFunpXF7L/v21Fq15AS7R8tdfJYiNNX3+2DExduwQW5SPaYiUFCW6d+eWqB98IEN4uCt++YXLWRGJCKTS5ptf/gusWaPBunWeAIClS3V44QW5xevZ2Qrj/597rgC//+4BAJg/PxZZWdfx8stiEELhscf0iIw03fsqFTBnjgIMQ+Hhh/W46y7nlNDhxxdnmcXaeotjoBWIC9+CuLi4GP369QMhzr/56q5ceHMTj1RK0K6d6W9CCLKzs3H+/Hl07twZ/fv3B8NYH6pu3bh9LS5ufB/GjDH9rtGjWZw+bbm9gAC1sc1y374E1dXc/3v3ZlFcXIzoaMdWGl27shg5ksWbb3KitHq1Ae+8I4ZW2zrLsL/4ohwdO5J6e6XYS1CQG1xdCVJTTQLx449S/PyzBLt21cLbm8XlyyLMny/HhQvWJq+lS2U4d05kUS9syxYpEhJE+OEH+0rFpKTYzsZlGAo6Xes8/q2JJ57QY8MGKaqqRAgNrYGXF8GFC/VPro4e9QUAPP20Bvfc445ffnFHfLwMSqUe06fHICcnx1hO5Z13ZEhPp9GxI1tv24SmwDCM0UriDARxcQIpKSnGFsRubm5gGMbpAlM3kdJ85QIAHToA/DXBMAwSExORmpqKgQMHIjg4GBRFWbVTBTjTFgCrzoC2MC/5MWIEa5WQqdFQ0GgoeHkRmLfdnjatEKdOOd5XYc0aBq+9JoZeT2HKFAZVVRTOnLnlp7tBvv5aimvXaKxfr4FE0vRrwM/PDe3aEVy+bBKYDz6QISlJhJ071VAqCY4cEeP992VISKix+vy8eQrU1FD44w/TamX5chkkEm5GLdCyPPecDj/9xNmqnnkmE089ZVql1E2KffJJHa5fp9GhA4vly/WoqemADRu4ShlLltQiJESJoqIiREdH44svUrFxI+cL+/JLFby8nLfPzkygBNDmG4UBrUBc+vTpY2xBzLchdlarYx6RSGTRMIxvkSoSkX//5Z6vra1FdHQ0VCoVIiMj4eNjKuFhqyoNr4H2zEbNK7D27UuMnQR5rl/nnJFDh7K4csW0vQ4dMlBaGtHo9s0JD68EywIXL9JQKglWrGCwdOmt97HYw19/SfC//0mwYYOm3kKQ9hARoURoKMHRo6YVyFNPKSCRAJs2qUHTBFu3SvDnn2IcP269gnnkEQXCwlisX28Sk5kzFRg4kMGiRc1bXQnUz+efa/Dqq3KwLIW7767C8eO+Fq+XlprumzvuMGD7dk6EPvlEC4WCawqnUlEYNcqAl16i0blzZwwcOBC9et2Bzz/vCwCYOjULNH3M2G64urq62RNaZ0aKAUK0mFMQi8XGiLH6woabS92aZXzUVmgod0FVVADFxcU4e/YsPD09MXToUMjlljZeWysX/nrU2jHW1NSYBCMkxPJC9vRkcOUKdyENG0bw+++m16dPD8fnnzvm2Js0KQ/Ll3PHcv58BuHhbask//nzIqxfL8WPP2rg5ta0m/7qVRFeflmGwYNZbN9uMmfdcYcLwsNZrFrFnbR33pGhsJDCL79Y+lQqKrgyLQ8+qMfChaYTfOedLpg5U48pU5ofYSRgTUEBhUuXRPDwILjrriocPuxb73tVKgoGA4V779XjvvsMWLlSipgYETw9Cb77TmOcNBICLFrkguJiMbp3Z/Dtt97GdsNVVVW4fPkyTp8+jaSkJOTn50Nrzw1dB2cWrQS4aDHBoe9EaJq2GTbcXOquXPiBvuO/dQ0rKoCYmFj07NkTvXr1sjkDsSUuPPZci+a9vWvr+Ib79dOgtJSbgfn4VOGff0xioFBIrfqEN4SbGws3Ny3i42m4uRFMnNg2Q2Dj40VYvVqK779XN7nM/6ZNUuzZI8bkyQZjjSkA6NnTFc88o8fTT+tACIVnn1UgOJhg2TLLE5mQIMLcuXK8954OEyeaJifh4a4oKGhVt45TmTOn/jbOLcnWrWqsWcNd+++/r8WiRfXnBzzxhN4oQp98osXJkyJ89hn32fXrNRYBOjt2iLFnjwRiMcH332ugUJjaDfft2xejRo1CeHg45HI5cnJycObMGZw/fx5paWkoKyurt026Oc42i9XW1gri4mwc6eliL3V9Lt7e3IVnMHAXDctSCA+PQIB5lmMdDAZr0xe/crHH51JZafp/dbXla/37a1FdzV2YpaVpxudDQ1nYcV1bcN99apw7x0UnPPggi8mT224l3bg4ET79VIbvv296LsyTTypw/TqFd97RISLCdF3NmKHAJ59oMWqUATU1FB5/XI7Zs3W4+27La2/vXglWrpRiyxZLZ3509O1bSPK776Tw9iYICrp5E5P587k8FYahMG2aHrt21W/GnTRJj61bueuaN5/OmSMHIRRmztRhyhTTOczOpvD665wV4q23dOjf3/o30TQNT09PhIaGYsiQIRg5ciQ6d+4MnU6HK1eu4NSpU4iLi0N2djZqa2ttmtCcbRYTHPpOoG5l5KZ0o2yMutvkNSQvrxYSCXex6fUNzxJsrVxYlrvIdHa0fygvN/3OqirL3xwQYEBVFXcq+vfvZnx++HBiseKxh8hIHU6d4kwJkyaxrTY6zF4uXBDhl1/E+Prrps+kBwxwhVYL7NljEojDh8X4+WcJNm3SICCARWqqCAsWyPHjj2pjpj7Pxx/L4Ovbtp2rjvLMMwrcuHHzhgedjssT6tCBRb9+LE6erF9czp7lXps7V4d77zXgpZfkxiTWjz4yrT5ZFpg3T46qKgpDhzJWDcLqQyqVws/PD7169cKIESMwaNAgeHl5oaSkBOfPn8fZs2dx9epVFBcXGyfCzjSLEUIEh35LcDNWLhTFZdtXVCjh5cUNvnyJ+fqwLS6cMNkzgJu3ua2qsnytsLAQNTXcTEwuNyXb9exJUFzsmDiIRDQqK7mZpz1VA9oCe/dKEB8vMjZ9agqjRikhl8MiOuyll+QoLaWwebMaYjHBH39IsGWLpMG2xQLOZ/16DX74gTNpLVigw3vv1d9Ko39/BuXlFAYMYLBihRZbtkjw558SSCQEGzeqYT7Z37BBglOnxHBxIfj2W7VFIqW9UBQFV1dXBAUFYcCAARg1ahS6d+8OmqZx/fp1nDp1CpcuXUJxcbExS98ZCGaxFqAlVy58mHFVVQoAoKxMZLwYG1sh2BIXhuHExR6zmPk1x+ew8MhkSqhUnLi4u5ue9/IiyM1tfNs8HToQlJdzp3T4cLZVZOE7i/XrpejRg8X99zetS2BKigibNknQuTPBtm2mFczQoS7o14/FypUmBz/fVOq/hDP77jjCm29q8fbbnJjMnKnDW2/J633v4MEMYmNFcHcn+OknNW7coLBkCffZd9/VYcAAk8nr/HnaWA5m1SqtMXinuYhEIvj4+KBbt24YPnw4IiIi4O/vD41Gg6qqKpw+fRqJiYnIy8trUmAAj2AWawFaSly0Wi2io6NRXV2Ne+4ZDJGIgBDKaNKqqGh4lm9rMWVauTS+D+bZ4HVDbKXSdmBZ7vvNxcXbG0hMtP8U9epFcPUqJyi9e99+meAvvijHggVqBARY56bYw0svyVFQQOHeew0WzbzmzZNj5kzub4ah8Omnzm0f3RawVZS1pendm8Fvv4lRVUUhMtLQYOCKhwfBxYuc2Wn9eg18fQlmzlSgtpZr8vXSS6ZJR0EBhSeeUECnozBlit54blsCuVyOjh07on379vDz80Pfvn2hVCqRl5eHqKgoREdHIzU1FWVlZXaPawzDCCsXZ2CrG6WzzWIajQZFRUXw8PDAsGHD4OKiAF8PkxeGxlYuCoX1c/zKRV7/ZMuIeZm0mpr0OvtnOg3mjmt3d4KsrMa3zePjQ5CcfPuKi0pFYdEiF7zyyqUml1Hp1s0VhABffWVabu7aJYGfX9u2b7dFOnUiSE0VoWNHFsOHMzhzpv6VNn9fzJ7NOeznzpUjMVEEX18W336rMSZB63RcEEdBAY2ePRl8/bWm0Q6zzoBlWYjFYnh4eCAkJASDBw/GyJEjERwcDIPBgOTkZJw6dQqxsbHIzs6GSqWq14SmUnFmWcHn4mScuXIhhCAtLQ25ublwdXVF7969jREd/v7cieULVza2crG1rNbpOHHp3Lnxgc5cXORyy5mUp6fp/+aladRqymIl0xjt2hGUlND/7pv9n2tLxMWJcfGiH5Yuta/Wly3WrZMiIYHGkCHOXSEL2M/zz+vw999iyGQEM2fqsXZt/avF3r0ZlJbS6NuXwcqVWnz0kRR790oglRL8/LMaAQGm+2/xYhmio7lcl23b1LhZk39b0WISiQS+vr7o2bMnIiMjMWTIEHh7e6O0tBQXLlxAVFQUkpOTUVRUBL2Z3Z0vVSOsXJyMs8RFr9fj8uXLyM3NRWhoKCR1Sp926FBXXBreXteu1gKSlcUJQZcujYuLwWAaDDt2DLN4TSSi4OrKqUFhoUlcSktN+2kPXl6m/jS3izPfFjt3dsOoUQYMHdq06+S992QYP96lwXpVAi3HkiVafP0158CfM0ePlSvrF5bwcDWSkkTw9maxZYsaBw+K8dFH3PvXrdNg2DCTn2XTJgl+/FEKiuKc+87ys9hDY9FiFEXBxcUFQUFB6N+/P0aNGoUePXpALBYjIyMDp0+fxsWLF7F+/XqcOHECMpnMasxqCqtWrcKQIUPg5uYGX19fTJ06FSkpKRbvIYRg2bJlCAgIgEKhwJgxY5CU5HjJqbrccnFpCbNYVVUVoqKiAACRkZFwdXW1Eix/f+5f3tdhnodiC1sX6rVr3MVkj7hkZZkaT9XUWB727Gwx3N05cVGZBSoVFlLo0KHRTRthGFMrgZqmuSXaBCxLY8ECgrfeui5UGW5jPPusDuvWccIybZoe69fXXz0iOFiFhAQFpFKC7ds1qKmhMG8eZ4N+4QUdnnjCNE5ER9N47TVOdJYu1Tmt2rG9OJpEyQcGhIWFYdiwYYiMjERAQADOnj2L1157DSzL4tFHH8UPP/yA7OzsJu/XiRMn8MILL+DcuXM4fPgwDAYDJkyYYDS9AcCaNWuwdu1afPnll7hw4QL8/f1x1113obpuQp6D3HJxqUtzVy65ubmIjo5Gp06dMHDgQEgkEpvb5M1iPOZ5KLawtXK5epW7mNq1azzaRiYzNT2re87OnxfDw4Nz/phfn3FxFHx97R88KyspY9Ll7T7oxsd7IiaG4L770hp/s0CrYOxYA377TQKtlsLYsQbs2tXwzDwjg4uW+uorDbp2ZTF9OufAHzfOgA8+MEXR5OdTePJJxb9FWvV49dWbbxNubhKlTCZDQEAAtm3bhm3btqFdu3YIDw/Hpk2bEBwcjCNHjjRpuwcPHsSsWbPQu3dv9OvXDz/99BNu3LiBS5cuAeBWLevWrcPbb7+NadOmoU+fPti8eTNqa2uxbdu2Jv8eoJWIS91ulE1ZubAsi6SkJFy9ehUDBgxAaGiocbt1S+4D1uLS2MrF3Z0LDTbn8GH5v/sPBAc3PJhnZ5tupIICSyGLjjatXMwrNl+4QFv4YxqjspLrPMn//3Zny5YwfPqpL3x9nRsAIuB8vLwIkpNpVFZSGDaMQUZGw0MP78B/8cVSPPCAAU88IUd2Npco+dNPppwVrfbWOPDr4swkSq1WC3d3dyxduhSnT59GaWkpRo0a5ZRtV/47MHh7c20hMjIyUFBQgAkTJhjfI5PJMHr0aKP1p6m0CnExpykrF7VajejoaFRWViIyMhLtzJuzwLpZGAArc1NGRuNXZPfulgJSW0sbVwqNmcbi4iwbhQUFWb7f3Z2biZn7XG7coCyclY1RUkIZo+Dc3W9/Z3VGBo1p01xQVHT75PPcrvj4EKMAEAJkZtY/9Li7ExgMFMaNK8DLL1fg1VdlOHtWDA8Pgl9+qbUolb94sQznz998B35dnFlbrG6Oi4eHB2Sy5ofHE0Lw6quvYuTIkejTpw8AoKCASyiv207ez8/P+FpTaZXi4sjKpaSkBFFRUXBzc8OwYcOgsBEz3NDKhe8bcuUKhfJyq49aYNupz/1rj9+F58ABEYYMsaxx5OHBrVzi4iiL3i+O3CxJSZRZAEDT7bRticuXBWFp7QwYwCAtjUanTizatyc4f77+QTgwkEVVFbe6WbQoGd9/74UtW6Sgac5JHxZmus82bpTgp59ujQO/Ls6sLdZSFZFffPFFxMfHY/v27Vav1fV9E0KsnnOUViEudc1i9qxcCCG4fv06YmJi0L17d/Tp06femQO/GjKPK+cHYUK4EviEUIiObvhw2Lp4r17lPhMY2Pg+m/dtHzLEcltubpy4nDtHY+pU0/scyXPJzaXg6cmFv2Vn2+6G6AyGDmVB07e3T0fAOXTtWo6YGBE8PAwICdE2WDMsLIxBdjaNLl24NgmHD/thzRruOv7wQy0mTDDdY/v2iW+pA78uzjSL1dbWQmmeu+AEFixYgD///BPHjh1Dp06matP+/0Y21V2lFBUVWa1mHKVViIs59pjF9Ho9YmK49qVDhw61OFj1bROAhbj4+QEKBbf89vHhno+Kctypf+UKhZqaGmg0yQ1+FgDuuMP0efOS4AAglQIyGUFJCWXh2zl/nsbkyfbfOBUVBf/ul6fdn3GUkBCCsjIdRo5sm+X8bSES3T6/pbXQvz+DtDQveHoy6Nu3GidP2shE/peQEK54qI8Pi99+UyMqSoTPP+8JAHjlFS1eeMGUB3LunAhPP801FHvqKd0tceDXxdlmMWetXAghePHFF7Fr1y4cPXoUwcHBFq8HBwfD398fhw8fNj6n0+lw4sQJREZGNuu7W6W4NGQWq66uxtmzZ8GyLCIiIuDh4WHXNgHLJmRiMTBihGWuS1SU4yuXP/4w4Ny5c4iIaDxN3zyXpm6r5X37uqBfP+vf/dNPIjz5pP0Dn7t7B9A0QW6uCKGhLTNg7tpFIyGBwqFDenz++e3RNIthWt2tYIV5CaHWTr9+XB0wLy+up9CpU/X3FPb31yE9nYa7O8Hu3WoUFFB45hlOPB57TIVly0zikZxM45FHFNBoKNxzjwHr1mlviQO/Lq3VLPbCCy9g69at2LZtG9zc3FBQUICCggKo/x30KIrCwoULsXLlSvzxxx9ITEzErFmzoFQqMWPGjGZ9d6u4o+w1i+Xl5eHcuXMICAjAoEGDIJXa12Gxvg6X48dzgy8vLhcvUg1mtnftSkBRljf4xYty9OnTB3fcEYxevRoezA8eNB3uzZtFFr0lcnJcMWAA9+UxMab3HTtGY+xY+0Xi5EkF/t/eeYdFcXZt/J4t9N6LIEpT6WBXFBN7A01MTDGaRH39TDM9b6op9sTkNVGTmKKmaRS7xhIVe6UjAtJE6tJh2T4z3x+TGVh6WWAh87sursRtMzu7+9zP85xz7jNkSBUAICysewYjlYrA5MlivPyyCDk5Chgb9w+B0XfacpHQFwIDSSQmMsIyY4YGe/a0nHJsaUmiuNgARkYafPDBFaSn38NjjxlCpSIwdmwRNmyo5sSjoIDA/PnGqKpiLPQbZo31NrpcueiyxfH27dtRXV2NiIgIODs7c3979+7lHvPWW29h1apVWLlyJYYPH46CggKcPn26y/YzeiEuDWkuPkJRFFJTU3H37l0EBwfDy8urQ8EmgiCaDeqz4lJcTMDSkoZCQbRa2W5hwbQhbno7s285bVrrIiCT1b92fLygSdxFKKzfnnvppfpVTEfMVbOyBPDwkP7z/903GCmVBH74QYivvjKHXP7vcxHmaR5/fxJJSUxF/bhxmlYdps3NaVRXC2FoSOPPP5UYOdIbb77pD5lMiICAUqxadRtFRQ9QXl6O8nIK8+cbo6BAAF9fEnv3yqDjsESnYa32uytbrCvQNN3s35IlS7jHEASB1atXo6ioCAqFAhcuXOCyybqC3omLSCQCTdOc47BCocDNmzdRVVWFMWPGwN7evlOv21wsx9+fhr09jbo6gitebGtrbMoUeZPbzpxhnjN1atsrjKCg+seYmDQt5BQKaaSmChAeXn/f7t1CvPVW+zPoKEoAoZBGbKygQ6nM/YHGjtM8PYeHB4WUFCHs7CgMG0bh2LGWhcXZmUJtLQGRiMbu3UwW2NNP26OyUoSQEBJHj4pgYECBoigkJmZg1iwN7t4VwsFBjd9+q4CtbQ++sTZgxxVdbYvpMubSm+iFuDRchTTcwiovL8fVq1dhamqKUaNGdSmDojlxEQjAbTmxfe2vXWt5tl9cXAwnp1tNbt+/n7mM48bRMDNrfXArL69//camqH/8Ycqtfm7erH/c+++LsGpV+4P6V644YMwYZrnTsMdFfyc0VM7Z3/D0HC4uFOztKeTmCjBwIIVBg2hcvtzyftWgQRSKigQQCJie9sOHU5g3z5grkoyOlsPaWvjPY72xY8ckpKbawtycxPr1iSgouIZr164hIyMDZWVlOm/R0VHYibA+BvR7E70Ql4aw6p+Tk4O4uDh4e3sjICCgyx9cS1lo7NYYOyhduyZoMujTNI2MjAwkJydj5sxBGDxY+wH79gmhUjEZX23FR/Lz6we/LVtEePxx7XOKiGBe+48/hHjmmfr7Grolt0VtrRh2dsxKp2Gcp78TF6edjbRgQeedk3nax7hxGtTUECgtFcDfn4SVFd2qIairK8VV52/ZokR4OIlZs4yRliaEiwuFQ4dksLOj/9lqAt5+2wzHj4u5rbNHH/VFeHg4vL29ud9le63suws2mN/VuhCW/tAoDNBDcSFJEgRBoLCwECNHjoSbm5tOXrclcXnoIW0xKC0lkJlZ/yVh3ZWLi4sxZswYODs7Yfbspq8TE8M8pz1bYxMm1D8mIkL78Q8esB0oCYwdW3/f++/T+L//03YzbY1bt4wwYQIFkiQwfXr/r9Zn2bJFhunTmZjTvn16sinfT1mwQI2bN4WQSgmMGEFCIiGQmNiysNjYUCgoYFYs27bJMXWqBjNn1gvLsWMyzrmCJCn89ttQ7N5t9E8BpQLjxjHfY5FIBDs7O/j6+mLMmDEYMWIEbG1tOSv7a9euIT09XavHfXeiy0wxgBGXvt7LBdATcWEVv7a2lvOz8ff3b1eacXtpSVzc3AAfH+0B/sqV+vO5du0aAGDMmDHcUnXWrKYC8ssvzI+qraA+AM4yBmDcXNlAPgB8/bUI8+YxD4iJqf94Dh0yxDPPtD+fv6CAscsAgJMn/x3W8lZWNJ5/HggM/Pd1kuxp5s1TY98+MdRqAuPHa3DrlhASScvDibk5jYoKAUQiRigeeojEjBkmyMgQYsAACidOyLg6MpoG1q41wv79PgCAL75QYu7c5kWCtbJ3c3PjrOx9fX1BEAQyMzNx6dIlxMfHIy8vD1KptFtWNbrMFAP4lYvOKSoqwvXr1+Hs7AxjY2OdLTFZWivOfPhh7S/ctWsCFBcXc+fDuiuzjB3b9Au6b58QJAm4uwNDh7YuMJcv11/2nTuFWL5c+/FsoP/wYQHWry/ibj9zZiheeaX9M7GzZwWYNo15z97e/Tf28uyzzDWpqiJw4YIAGzfqZ/bawIFUv3CrDg/X4OBB5hrPmaNuNb4CALa2TPCebe41ahQjLFlZAri7M8LCbjXTNLBmjQE2b2ZWnevWKfD88+1PdW/Y437MmDEYNWoU7O3tUVlZidu3b2s16NLVqkaXKxeapvmViy6RSCS4c+cOgoKC4O3t3W4LmI7QurhoD7x//UUhMfEOAgMD4e3t3UToxGIgKqoOjbl8mXlcZGTbA3l4eP1jGg8433wjQnAwBbmcwM2b9e14P/xQhHffbf91kckIyGQEHB1p3LsnQGho3xIYVhjbYsAACsbGzDWcObMdPad7ifv3BQgJ6bsOzubmNHx9SVy6xHSQfPZZFY4ebV3I3d0plJcLYGJCY98+OYYNozBzpglychiblxMnZJwvH7NiMcDGjczK8/nnU7Qq8zuDiYkJBgwYgKCgIISHh2Po0KEQiUTIzs7GpUuXEBcXh9zcXNTW1nZ6VaNL6xdAt3UuvYleiIuDgwPGjx8PBwcHALptdczS2mtOmEBpbU1JJGLU1Ixv1Vtn6lRFk9u2b2e+YMuXk5whZktculR/6bdsEcLfX7u719Ch+QCAEyc88O679QPSl18K8eST7b82ly4JEBTEnEtcnICzutFXnnhCw2XcsYLRFgRR34Gzp2hrddoSN27o56qqLebNU0MsppGeLoSjI4WnnlLj559bL2L29KSQlyeAuTmNgwfl8PBghCU3V4DBgxlhaegOvnatATZsYIRl9eoazJvXAWO9diAUCmFjYwNvb2+MHj0ao0ePhqOjI2pqahAXF4crV64gNTUVJSUlWm2H26I7tsX4bDEdQRAEjIzqZ5y66EbZmNbExcICCA1ljmduznypfv219ZnDQw+pIRBoDzCHDglBUYCLC/DYY20PPmwNCk0TmDBBuwHLgQMDMGYMCYWC0LLhX79ehC++6Ni1OX+e4FYBMj1PoPL2piCVErCzo5GX1z7B+PTTnh+wG/cD6s8sXKjGoUMiVFQwGWFeXhR++ql1YXF2ppCVJYC1NY2jR2WwtqYxc6YJl2584oQMAwY0Lyxr1yqwdGmtzrfGG2NsbAxXV1cEBgYiPDwcw4YNg4GBAXJzc3H58mXExsYiJycHNTU1ra5qdLktRpIkFAoFLy7dRXesXJqr0GcpLi6Gl1cOAMDFhZmBnD4tQE5Oy69nbS3A6NGSJrcfOsRc0pdfbvv8GxqR7ttnj5CQeoFRKgWYNYv5Qu/aJcDWrfUzqWeeEWPfvvbPrNRqAikpAgQGMltt+upRZWbGFJACTMvmuLj2zQZpuudrW65f7/FD9gpjxjD2LTRNYNYsNVJShLhypfUYi6UljaIiZtvr77/roFIRmDrVhKuuP3FCplXcu26dAdavZ4RlzRoFXnxRDYqidJqB1RYCgQA2Njbw8vLCqFGj/skMdYZUKkV8fDwuX76M1NRUFBcXQ9XII0qX22LSf/qT8zGXbqKnVi40TSM9PR0pKSlYtoz5MDMyCAwcyFjw//RTy18YgUCA+fObtth98kkxKAoICqKbpBk3hqIILpBZWmqAsLA8rfvff1+ESZMoaDRMoJoN9J85I4C9PQ1Dw/aLREEBgaoqAkOGUKiqYlYG+sa6dSrs388MXG21ne5t5PL+nYH37LMqODlRuHZNBBMTGitWqHD8eNsrRENDGtXVBMLCSJw9K0N6uhBz59b7gZ08KdNa9a1bZ4B16+qF5aWXmElTT4tLY4yMjODi4oKAgACEh4fD398fhoaGyMvLw+XLl3H79m1kZ2ejurpap+LC9rbnVy46ovHytydiLiqVCrdv34ZEIsHo0aMxdqwNZswgQdME5+W1a5ewRSNLoVAIb+8KTJzYVECOH2cu6yuvtP0eGjYo++GHAMyY0bSpGUHQ+PNPIT75pP6+iAgD3L3bMavxvDwCFMXshZeVETA11R+BWbBAg7ffbp8RaW/g5UXh4Yf/HfVCS5aosHOnGMXFAgwZQuKpp9T49tvWPxu2TYRSyaxwjh+X4cgREZ5+2ohzMD5yRMbZttA08Mkn9cLy2Wf1wgL0vrg0RCAQwNraGp6enhg5ciTGjRsHV1dXyGQyJCYmIjc3F9XV1SgqKmqyqukodXV1MDIy0mkMp7fQj08PTS1gukNcWJsGtn5FKBRq1a+wYlBezszAJBICR440f4kEAgFomsabbzZdYT3/vAg0zdS8NK6haUxlJQFPz/rMs0GDtAf8P/4Q4oknmNfYuFGIpUvrr8v//Z8IP/3UsWyajAwBFAoCvr4U6uoICAQ0DAx6P4ts3z6RlrFnV3B11f37mTyZRFVV/3Z/njdPjYAAEjt3GoCmCcyZo4ZGQ2DHjtaFJSCA5Faa//mPCr/+qsCXXxrg1VcZ2/wlS1T47Tc5ZzRJksCqVYb4/HNGWD79VIGXX9a+tjRN6424NMbQ0BDOzs7w9/fH+PHjYW9vD7FYjPz8fFy+fBm3bt1CVlYWqqqquDGnvUilUpiamnZ7vKkn0MtPr7u2xTQaDVdP4+rqipCQEIgaeHZPnEgjKIiCWk2APfyOHc3PINgv/sSJ6iYpvjU1BE6dEkAgAF56qW2RzMqqTx7Ytk2ERx/Vfs6tWwT8/ChIJARKS+tvP3VKCBMTYO7cjglxQQGB8nIa3t5VoCgCKpUATk69LzAsXTWfXLJE9+m+Li5lKC3t/aZU3cWrrypx4oQIyclMw65Vq5Q4elSMzMzWhwhfXxLJyUIQBI21axVYt06JVasMueD8O+8o8b//KTlrfKUSWLLECD//zLQu/t//FHjllaairU8rl9YQCAQQiUSwsbHBiBEjMH78eLi5uUGhUCA5ORmXL19GSkoKCgsLoWyHvXldXZ3Ou1D2Fnr56XVXQF8qlXL1NM3Z9hNEfSCeJJn7LlwQID296SyivrslhbfeanquCxYwq5ennmL6hreFo2P9D6y2FlqpzPfuCTB3LgWRiMbhw0Js3Fg/eC5cKMbq1R2/VmVlQty/b4GQEAomJjSKi5mU0d7Ey4vChAlkl8wnv/9eiU2bdJ89ZmKSA4pifvT6GK/qLJGRWQgIqMGXXxpCqSQwebIGc+Zo8NVXbbscODlRSE8XwsyMxq+/KvDMM2o88YQxdu1ihOOrrxR4910V14+lpgZ49FFjHD4shoEBjV27FHj22eZXgxRF9ZnZe8NsMQMDAzg5OcHPzw/jx49HcHAwTE1NUVhYiCtXruDmzZvIzMxEZWVls6saNg25r7z31tAbcenObTGVSoXc3Fyo1WqMHj2aq6dpjgULqCY29T/+2PQysV8mkiQxdy4FNzft56jVBM6dI2BiAqxd2/ZMuqSkfkA8dUqIDRu0n7NunYjbHvvsM22BCQ01QFpaB5q+/INKJUB8PONk6+bGVFEDTBppT7NwoQZ+fhQuXuz8XvPjj2uwaZMYKpXuf5hTpgyBsTHzmb/3Xt/fHnN0JPHii0r89ddgJCdbwNhYg/nz7+HCBQI7d7a+DSYU0jA2ZiYkgwdTOHdOBn9/EpMnm+DUKRGMjBixee65+utUWkpg9mwTXLgggpkZjehoOSIjW/5d9JWVC9BynQtBELCwsMCgQYMwfPhwhIeHY+DAgVCpVEhJScGlS5eQnJyMgoICKBRM3ZwurV8uXryIOXPmwMXFBQRB4NChQ1r30zSN1atXw8XFBcbGxoiIiMCdO3d0cmxAj8SlIbrcFqupqeHiK0ZGRm1mYRgYAP/3f9rC9ssvQq5bJUvDBmQCAfDBB03Pd9Ys5kf69NNM46S2MDauf8xrr4nx/PNNzyMsjEJNDYGvv9YuphwyxBDp6R0XGAC4e1eIykoCAQEUrK2ZNFIAPbZVtnDhA+TlKXD4cNfaCkqlzCqvIW1tsbU3qcHFxQg2NsxjHR1prS6ifY2VKxNgZUXhm28M/0kTVuM//yFx4IA31OrWxT0khARJEpDLCUyZokFMTB0kEgIREaZISxPC2ZnCX3/JMHt2/Xf5/n0CU6aYICGB6fVy/LgMEye2PnnsS+LS3mwxsVgMR0dHDBs2DOPHj0doaCjXevjcuXMICQnBn3/+CYFA0K4ttLaoq6tDUFAQvvnmm2bv37hxIzZv3oxvvvkGt27dgpOTE6ZMmYLa2touHxvQU3HR1cqlqKgIN27cwIABA+Dj49Pu4Nrzz5NajbwqKwmuZ0vj82Rfc+FCSqsojOX0aQLV1VVYvPgaRKLWjy+XizBqVP1jLl4kOGsMFqWS2T568IBAWhqBcePqH+/ra4g7dzr3pZRKCSQnC2BoSGPIEAqWlszMFGCSG9iBVZf4+FB47z0ZLl1yxNWrXU+9PH5cpOW0AKDNLba6uvatcoyNAVdX5rWzswkcPNjUoUHfee+9KkycWIBt24KRni6GnR2Fjz6qQ2yssF3bYL6+NYiPZwbR119X4s8/5di/X4yoKGNUVhIIDSUREyNDWFj9d/LOHQGmTDFBdjbjI3bqlKxdPYb6mrh09FwJgoC5uTk8PDwQFhaG8PBwvPrqq6irq0NSUhJsbW0xd+5cbN++nVvVdJQZM2bgs88+w/z585vcR9M0vvrqK7z33nuYP38+/P39sWvXLshkMvz++++dOl5j9PLT6+rKhaIopKWlcfEVT0/PDvmV2dgAzzyj/QNYs0aExp9xw8JMAwPgjTeanvPcuQa4cCEe4eH2eOONtn9UN27UfyT37gkwerT2c1JSBBg7loadHY24OAEsLWmtbTx/fwOcOJHb5nFaorhYgLQ0pqbG25uCuzsFpZLQ6ifj5kZ1KY3Z1ZXCiy+qERBAYc0aExQU6C4FubnPoCUcHNr/HkgSCAxkPouEBAEcHIDQ0L6RmrxqlRqvv16JL74ww4ULriAIGs88o8HSpRp8/LEpysvbHgbs7Smkp1vA2JjEO+/EYsKEc1i6VIbXXjOCRkNgwQI1/vpLBmfn+mt66ZIQM2aYoLhYgGHDSJw5I4O3d/uueV8SF13Yv5ibm+OZZ55BREQE5syZg2vXrmH8+PE4fvy4VtKRrsjJyUFxcTGmTp3K3WZoaIiJEydyzvRdRW8+PV3FXFQqFWJjY1FWVoYxY8Z02q/spZc0IIj6H0JuLoHNm7W/QA1XLgCwdCmlNWtj+fPPcAwaNAhvv002aTTWFnv2CLFqlfaAuXu3EPPnUzA0pHHihBATJtQP9jRNYOZMD/z+++0OHacxRUUC3LsngERCwMeHSakePJh5bw8eCNo942cxMqIxYwaJxYs1CA6msG2bCNHRuv3RPPwwiZSU9p9XRET7vw8KBTB8OPP+L15kHLCPHOn61kV38vzzamzdqsT+/cAXX1hDoRBh1CgSX3+twu7dIqxf37aoh4aqQRA0SksZgbhwQYFly7yxYcMkREc7giBoLFqUiv/7vysoKak3gNy1S4zISKZ4ctQosonwtAVN030mqK1L+xfWETkgIABvvfUWjh071i3iUvyPPUhj/0RHR0fuvq6iN+LSEDZtuKOw8RWRSITRo0drBcZYIWiv86mnJzBnDjOYWFgwz9m4UYj7Dbz0GlvKiETAd981Pe/oaFOcOUPA2Bj43//aFwwWCOrP86uvRHjrLe3X/f57IebOZQw39+wRIjxcOyvtySeH49tvz7dpoNkWCgWBjAwBMjIEePCAwODBari51cLLSwE/PwoBARR8fSk4OTHHd3Ki4O1NYexYEpMmkZg2jcScORpMmkThyhUBdu0S4fhxESiqawOHUKgt4k5OFBYu1OD48fb/EKuq2n8OFy8KMW4cBSsrpv7p6lUBrK2Z7DR946WX5NizR4mbN4V44QVD5OeL4eBA4ssvVfD2pvHii+3rdxMSQiIujrF+eeYZBU6dqkJ5uQbh4Wa4etUIZmY09uyR44sv7OHs7ISamhrcuhWHZ58tx0svMSua+fNVOHJEBmvrjr2HvrRy0XWFfk+mIjcWcF2Kul5+eiKRCDRNd6gAqbCwkIuvBAcHN1F79sPvyOqFTUuWy5kgrkJB4J136l+38coFADw8avHMM1lNXmvOHANUVQFTptBYsKDtc6AoQiuGs3GjCE89pf28ffuEePJJpkfIyZNCDBvG1OmwrFgxCXv3qhAVpZvkCLWaQHa2GA8emCMz0wh37giQnCxAbi4BgmD60BgYMDGqGzcEOH9eiFOnhDh6VIS//hKipkY3X9pRo0h4eNRfCyMjDV56KR2vvtqxGV58fPu//j/+KIKBATBnDnPcHTuYYz35JCOi+sCHHxZg7dpk/P23DAsXGiI5WQBTUzXefrsWb71F4tVXDfDrr21fowkTSNjY0IiPF8LcnMbOnUp8840Gu3ebYM4cCxQWCuDpSeKvv6oxebICYrEYzs7OGDw4EN9+Ow0HDgwCACxalIVnnjmJtDSmWVdHWhD3JXHRpStyTzkiOzk5AUCTVYpEImnVDb4j6M2n13hbDGifEFAUhbt37yI1NRXBwcHw9PRsVnk7Iy7jxtGYPp2EWs1YwhAEjYMHhTh7lnn9xiuX0tJSXL9+HS+/LGvWkn3xYuaH/eWXGgwc2PaPLD+f4ILIAPDbb8ImfmW//MJU7ZuZ0bhwQQClUoqHH65vMDZ/viEsLGgcPdoo3U2HKJUEiooEuH9fgLw8AcrKCK5OSNc8+qgGQ4fSyMqqT93+9lsp9u4dCKm0Yz/w0tL2nyPbzZPtL3LggBB37zKieuiQEuPH947ACAQ0zp1T4M8/lTh+3AnvvhuAu3dtIRZTiIrKwiuvJGLDBnO88Ub74lpTppC4eFGIigoCISEkrlxRYOpUEosWGeG994yh0RB45BE1Ll6Uwd+feQ5JksjNpTB1qjFOnmT63f/0kxxbtzpg9OhRsLOzQ0VFBdeCOCMjA+Xl5a3+FvuSuOh6W6wnxGXQoEFwcnLCmTNnuNtUKhUuXLiAsWPH6uQYevnpsULQ1tYY6w9WXl6OMWPGwN7evsXHEgQBgiA6JC4EAWzZooGpKY2qKgIG//w+X3tNBJVKe6stJycHCQkJGDZsGPz9ffDjj03P/dQpIU6cEMDODti/X62VkdYSBQWE1tZWTIxAK6MMYKr6H3pICXNzFdLSLHDnjj2ioupNMHfvFmPOHGPcvCnn4iZ9kbVrVfD3p7BzZ/3s++efldi3zwxJSd2/lZCbSyAggMacORrQNIEXXjAASTLboceOKbFiRc/Vv6xbp0JmpgxffKHGf/5jgMceM0RsrBDGxjQef7wQn30WjwcPBmLt2uHter2RI0m4uVE4c4aptn/lFTXOnlWithYYN84Ihw+LIBbT2LxZhV271LCyEsLAwAAGBgZISjLG1KmWSEkRwcGBwuHDNZg7Vwa1Wg1DQ0O4urpyLYh9fHw4w9hLly4hMTER+fn5kDfK9e8r4kLTtM63xXTliCyVSpGQkICEhAQA4MaovLw8EASBVatWYe3atTh48CBSUlKwZMkSmJiY4Mknn9TJ8fXy0yMIos0AfHV1Na5evQqxWNwkvtLZ12wOd3dwhpFKJTPTTU8XYNs2IQQCAdRqNZKTk5Gbm4uRI0fCxcUFABAa2rzv2Pz5YlRUAAEBNH74oX3bVWq19gz7xg0BZs/Wfh9HjhjB0ZEJuhcXi3DkyABERWk3Wxo50hjTp5M4fLjvpdFeuKBAfj6B1avrZ+DR0QpcvCjsUJylK/z4I3OcTZvUsLCgceOGEB9+yKygxGLgiy/U+Ouv7ru277+vwr17cty+LUdBAYHhw43x6qsGuHePyRpctUqJzZsT8OCBAd5+Owyxse27LtOmVeDmTSEePGBs8k+dUmLNGjV27xbhoYeMkJPDpBH//bcS//mPBg03BvbvF2PmTGNIJAL4+1OIiZFjzBhCa6dAo9FApVKBpmnY2NjA19cXY8aMwYgRI2BtbQ2JRILr16/j+vXrWtXrfUVcAOhlzOX27dsICQlBSEgIAOC1115DSEgIPvzwQwDAW2+9hVWrVmHlypUYPnw4CgoKcPr0aZ2JG0F3trenjqEoSqv727lz5xAWFgZLS8smjy0sLMSdO3fg6emJQYMGtTsAdf78eYSEhMDKyqpD50aSwKRJYty8Wf9lNzOj8fvvsRCLy2BkZISQkBCthmcAk2E0cqQYGRnaPxIbGxq5uSoYGACrVwuxfn3nBsfHHyexd2/TL/XDD2tw9izzmuPGVUGlUuHWLW1XguhoBTIyBPjvf/XXiRgA5s3T4OuvVRg/3gi5ufXX8a+/FNi1S4Q9e3pGWFjy85ng9J49Qjz/PBMY/+9/1XjvPTU36JIkcOKEEJ99JkZKSucHyIceIvGf/2gwcSIJtRo4fFiIX38V4fr1+s988GAKK1dqMGqUAh9/LMPffzs1eR1DQ5qbGDUkKkqNpCQgO5sRyGnT7uO11wphamqPjz92x5kzzHdj+nQSO3YoYWNT/1y1Gnj3XTG2bWOeO2MGiZ9/VqLhuMSu6kmSBE3T3B9QX4TM/lej0aCiogLl5eUoLy+HWq2GiYkJ3NzcYGtrC0PD9iUh9DRqtRqXLl3ChAkTdJLVFRERgbfeeguPP/64Ds6ud9Fbcbl48SL8/Pxgy3p0//OY9PR0FBQUICgoqNVtsOZo7jXbS0oKgdGjxdBo6n+kkyY9wPvv38Po0aNbnLlcv04gIqLpAB4VReKPPzSgacaH7Pjxzs18IiKKEBPj3OT2xx/X4OBBIVQqAtbWNGbNkjXbXfPIkSpcv26KtWv1r/1uQoIcVVUEIiK0RTsuTo533zXg4iA9yZtvqrF6NfM9/d//RHj3XeaznTGDxLZtSjR2FpJKgVu3BEhIEOD2bcZu5/79esGxsqIRGEhh+HAKfn4Uhg2jMGQIkxghkTBbqYcPi/D33wJuBSsUMmndzz6rgasrjY8+EuLUqabfMYGAbjErb8ECDfbtYwZDJycK27apMH58Lfbvl+O995xQWWkAsZjCyy8X4eWXadjYWHEriaIiYNEiQ1y7xlz/N95Q48MP1Whr8k5RFCc0jTM3BQIB90fTNOLi4iASiaBWq1FbWwtTU1PY2trCzs4OFhYWepOmrFQqceXKFUyaNEkn5zR8+HB88cUXmD17tg7OrnfRW3G5cuUKvL29uToVlUqFhIQEqFQqhIaGdmrpePnyZfj4+LTqLdYaza0yfv45E0884dbq87ZuFeL115vOat54Q4PPPiNRUwOEh4uRnt6+Wa5YTGttlT32mAZ//tn09YcNo0CS4F531CgSnp40fv+96WO3bMkGTVvhlVdsmtzX0xw5osDo0RSCg41QWFh/TQYOpPD770o895xhu69Va7i7Mz3e22LVKjW++qpefG/elMPPj/nZ/PijCG++KYZSScDEhMby5RosW6Zp4qzQHqRSZsvz0iUhYmIYMWrYZTMggMKCBRo8+SRTz/PZZ2Lcvt0xgX3tNTV++03Etc5+9lkNPv1UBUNDZiWyYwfzPocNI7FpUxHs7YtQVlYGiqJga2uL7OwBePVVF0gkAlhY0NixQ9Vki7Y9NFzVNCc0SUlJcHR0hKurK1QqldaqBgBsbW1ha2sLGxsbGBj03upbJpPh5s2biIiI6PJr0TQNPz8//Prrr5g4cWLXT66X0RtxoWlaq9HO9evX4e7uDhcXF1RXVyM+Ph5WVlbw9/fv9PLz2rVr8PDwgLNz05l+e5DJKISGEsjNrZ9Ju7gocesW0NZi6LXXhNi2rel5b92qxvPPU7h3j8bEiTQqKozbdS5GRiQUivqBJSpKg+vXBZxlS0MefVSDkyeFkEoJCIU0IiNJlJYSuHSp6cAUFXUPjz1Wi0OHvPHnnz3XapXxpFLC1pbG/PmGuHVL+9x27mSCy2++adAl1+SGLFyoade22m+/XcRTT03g/j1sGIXz5xVgk3oSEwm89JIBYmOFWo+ZMoVEQAAFd3catrY0jI2ZLTOZDCgrI1BcTCA7m8C9ewIkJTHu241bNgcHU5g5k8T8+Ro4OdHYu1eE119veTAdNoziWkU3fq/V1QT++os5Rx8f6p/tRgqxsQIsW2bACfYLL6jxySdqsLu8NE2juroGX34JbN7sCIoSYNAgKbZsKcDw4ZYwNzfv8qydXdVQFAWVSoX4+HgMGjQI9vb2WttnNE2jpqaGExqpVApzc3NuVdPTjsK1tbWIj4/HhAkT2n5wG9A0DQ8PD5w6dQojRozQwdn1LnorLrdv34ajoyMEAgFSU1M7HF9pjps3b8LFxQUDBgzo8HPVajUSEhJw86YRXn9dOwNn0iQKR4+q0ZrmkSTw2GPNb38dOaLClCkUdu68hDVrHkJ+fue2e8zNaYSHkzhxoumJODkxg9zNm8xri0Q0oqJIVFQQOHeu+eMtWZKKqVNliIsbiM8/79gWZHsYNIjC55+rMHkyhQMHhHj22ab76qNHk1i3To133hHjxg3mPO3saJSVdX0AWb1apZUg0BJPP10DAwMpfvrJhbttwoQ67N2rhoUF83yaBk6dEuB//xPjyhVBp1Ox3dwojB9PITycxJQpFBwdaVy6JMD334taNPa0sKAxfDjV7Ofo60th+nQS334rglLJZB6+8YYGb76pBkUBa9aI8b//MUWtTk4Uvv9ehYcf1s4orK0FVq40wIEDzPEXLFDi/ffzUVcnQUVFBQQCAezs7GBnZwdbW9suxR6USiViY2NhamoKX19fAGh2+4z9f6VSyQlNRUUFhEKh1qqmO6rbG1JdXY2UlBSMGzeuy69F0zTs7e2RmJiIIUOG6ODsehe9FZe4uDio1WpIpVIEBQXBzs6uy8eIjY2FnZ0dBg4c2KHnSaVSxMXFwdTUFEFBQXjlFSP8+CPzQxYKaZAkgVWrNFi/vvXtAakUmDhRjDt3ms4sb9xQoaTkFNzcxmP+fCvk5HR+8Jw1q+VK9ZAQEiIRuJWBSEQjLKwMxsYCxMS0vPzy9a3A448XYPhwA9TU2OPvv80REyPUCrK3hoMDjYcfJrFwoQYTJ1K4f5/A77+LsGFD87EeV1cKe/ao8N13Iq7wz9SUxuDBNJKTmx7T0ZHmtnraQ0AA01rh1Kn2CXlNjQwWFtpbsT4+FVizJg1Dh1pqzZorKphYyc2bAty9K0BhIePNJpczactGRoCtLQ1HRxoeHjQ8PSn4+1MIDqbg5MRMRG7eFCA6Wojt21uOhY0aJYeLixgHDzb/WX/+uQpffSVCfj5zvSIiSHz+uQpDh9K4dk2A//s/A85F+rHHNPj8c1WTFXh8PIFnnzXEvXsCiEQ0Nm5UY/ny+owxiqJQVVWFsrIylJWVQSaTwdramhMbExOTdk8IFQoFYmNjYWlpCT8/P+55DVc1rSUFUBSF6upqTmxkMhksLS25VU1HzqW9VFRUICMjA6NHj+7ya6lUKtjZ2SE/Px+urq46OLveRS/FhQ2SAcDo0aN1lpqXkJAAS0tLDBo0qN3PKS0tRWJiItzd3eHt7Q2CIFBVBYSEGKCoiIC5uQa1tcyPe+dONRYubL2OpLAQCAoy4HqnNOTrry/i8ceHoqbGAjNmiJvYx3cEZ2cKI0ZQOHKk+YFnzBgStbUkUlLqZ+6enhQiIkjcuSPQykhqCQcHFUaPVmPECCF8fQmYmdEwNWUEV6MhoFIxFit37xKIixPgwgVhm5YrCxdqsHChBr/9JsKBA0JuBTBhAomyMqLZLR8/P0pLsBvHpJrjq69UWLWq/r3Pnq3BsWMtz3JjY+UwMgL8/LS3LY2NKTz7bB4mTUqFubkQdnZ2sLe3h7W1dYfSUwsLCVy6JMCpU0Ls3dv6bHvevCyUlLji6lWjZu/ftk2J338X4fJl5vju7hTWr1dj7lwSMhmwerUY27eLQNPMamXLFjVmzdKeGFEUsHWrCB98IIZaTcDFhcIvv6iaGKk2Ri6Xo7S0FGVlZaisrIShoSEnNK1dE5lMxk3+hgwZ0qIIUBSl9ddSUgB7LqzQVFZWwsDAgFvVdPTzaYnS0lLk5ORg5MiRXX6tiooKeHh4oLKyssMZrfqI3ogLwIgKG18RCASwt7fH0KFDdfb6ycnJMDIygre3d5uPZQsjs7Ky4Ofnx9WvsJw+TSAqSgyKIiASMYOpkRGNmBg1goNbv6TJyQRGjGh+O+bAgQrMnGmK4mJg+nQR0tK69gOYOVODO3e0M5QaMmCAGl5eAsTGCrQELzCQmUmXlaHZbTZdMnUqiaee0iA9nZmtNwzWjxhBwsICOHu2+eswb55Ga+ZuZkZDKm1dWGxtaVy+rMDQofVC8d57KqxZo/2ZWFrSqK6uf626Ohni4wmMH980LmZiQmPWrDqEhkrg6FgAG5sq2NvbcmLDptJqNEBREYGMDEYo4+IEOHZMCJms9XP29qawYkU+PvrICVJp89+dXbuUOHxYyG1fGRnReOMNNVat0sDYGDh5UoDXXjPgvguLFmmwfr0KjccxiQT4z38Mcfo0c83nzNFg69amq5q2IEkSFRUVnNio1WpuFWFnZ8el7tfV1SE2NhaOjo7w8fFp9+qCFZeGQtPSqoYkSVRVVaG8vBxlZWVQqVSwsrLixKazE9ji4mIUFBQgLCysU89vyIMHD+Dn5weVSgWxWP+yNzuKXolLdnY2UlNT4eXlBaVSCYqiMGzYMJ29fmpqKoRCIbeX2xIkSSIlJQWVlZUICQlpttYGANaurcUnn2hv17m707h6VYW2dvFOnyYwd27zg8Tvv6sxZUo1zp1LxocfjkR6etc70z30ENlibIUlLIyESkXgzh1CK4XV0pLGyJHMNlJdHXD3rqDZrb32IBbTmDuXRHAwBQMDIClJgHPnBFyDMoAZqMePp0BRwN9/N3/O7u4UvL1pLdFxciJRXNy2GH/yiQoCAfD++/XX/5dflFi0SDvm0zgmc/y4AhERFNLSCISFtZ54IRbTsLLSwMhIDZFIDanUEKWlza80WnuNH39UQSoFVq5suc5jzx4lYmIE+OEHETQaAgRB46mnSHzwgRoDBtB48IDAm2+KcfQoIzpubkwwf8qUpquQs2cFWLrUEBIJM1lav16NpUu1Cyc7A03TkEql3PZZdXU1TE1NYWFhAYlEggEDBjTberwjtHdVQ9M0ZDIZt6qpqqqCsbExJzRWVlbtLuAsLCxESUkJV6jYFdLS0hAREYHa2to+UUDaFnojLhqNBpcvX4a3tzfs7OyQlZWFuro6BAYG6uwY6enpIEmyVcFSKBSIi4uDQCBASEhIq8VbxcXFePVVIQ4e1E4QiIigcOxY6wF+gAkAR0Y2P0NZujQVr7xCwcXFE6+8IsKvv+pmJjN5cimuXrWGTNb6yYWHM1so6emCZlcC5uZMvxcXFxp2dsxAqNEQEAg0UKvlqKtTQKORwdBQAENDEyiVpqisNEJWFmN02bj+wsiIxqhRFMzNaaSlCZCZ2fKPa/FiDc6cEWilKQ8dqsLdu20H511dKcTFKeDoqD1TvX5djtGjtQXjjTfU+Pxz7euekyODgwNQVwd89JG41ZhIZ/D2prBunQoDBtBYutSw1SLM06cVOHJEiB9+EHEZdFOnkvjkExUCAmio1cDXX4uwbp0YMhmzwn7xRQ3++181GttXKZXAp5+K8eWXzPsZOpTCrl1KLuVa16jVajx48ADZ2dmce0bDVU1XZ+4dLeCsrKzkxEaj0cDa2poTm8bF0Q158OABKisrdTJOxcbG4rHHHkNJSYne1PF0Bb0RFwBarT1zc3O5lYOuyMzMhFwuR0BAQLP3V1ZWIj4+Hvb29vDz82tz9iCRSJCWdg9ffjmRS/FkefllDTZubDv//8YNAg89JG42u2jZMg02b2ZWcLt3G+D11w101h9+7Fjyn1TYtmdI7u5MpplMxnSszMrqujGlpSXj4GxoCAgEQGysoM0MsBkzSNA0mhRPenmpkJnZvlqHPXuUGDKEQnBwvZCMGEFi61YVRo7UFpcJE5jbAwK0b8/OloE1ji0rA3btEuHDDztXazFgQC0WLJBgzhzAysoGGzaYtxpzCQ8nsWmTCr//LsKOHSLI5cw1GzWKxIcfqjlj07//FuCddwxw9y7z+Y4bx1juNycWSUkEli2rF7Jly9RYt04N4/ZlxXeKqqoqxMfHY/DgwXB3d0d1dTW3qpFKpbC0tOSERhfpxR0p4Kyrq0NZWRnKy8tRU1PDFXDa2trCwsJCa1zIzc1FXV0d/Pz8unR+AFPk/cILLyAnJ4cXF12jVqs5C/v8/HwUFRXpNN87JycH1dXVCA4ObnJffn4+7t69C29vbwwcOLBdH25ZWRlSU1MREjIBDz8sRlKS9kC9ZYsay5e3bRSZlkYgPFzcbJB/5EgSx44pYGrKBMWfesqgXYV/7WX4cBJ2dk0H7LawsKDh7k7DwoKGUMhY3YhEjMeWSsUIhljMxBjY/1coNFCp1CgqEqCgoP173I8+ysQMfvlFe9A1NqahUqHdQjd/vga//KLCtGmGXLAbANavV2HSJBKjRjGjKRu3MTCgkZ8vx/r1YmzerD2T/u03JSIjSa3topoapntoaioTT6mpIVBTwwTHfX1p+PoyKz1XVxoDB9JQKoFjx9T48ENjPHjQujht3KjCQw+R+OYbMX7/XchNMkaMIPHee2pMnkyBIICMDAL//W+9e4GdHY3PPlPh6afJJltbGg3wxRfMykatJmBnR+Prr1WYO7d7HZ4rKiqQkJAAb29vuLk1LUBWKBSc0FRUVEAkEmmlOnc1EN9WASdrcst6BzYs4GT90Vixyc/Ph1Kp1Els+MSJE/jkk09w586dLr+WPqC34lJUVIT79+/rJMWPJS8vD6WlpVrBN9ZSprCwsMMpz5WVlUhMTERERATy84EJEwxQWKj9C960SYOXXmr9x6pSqXDqVCpefNEfJSXNx1euXpUjKIhGeTnw/POGOHNG99Ynw4eTsLJqOc7RkwweTGHiRAqlpWg2i8vfn0RKSvvPc/BgCpcvK1BTQ2DIEO0peVqaHGVl4AL1w4ZRkEqBvDwBfv1ViagoEuHhhlz/+IasX6/Co4+SbXZZJEng3j0C164JsHu3iKs3ag1v70qsX38fSqUjfv/dDsePi7giyzFjSLz5phpTpzKiUlkJrFsnxnffMXEXkYjGihUavPOOutlGXWlpBJYvry/8nDtXg//9T9XEvkbXlJWVISkpCUOGDGmSJNMcFEWhsrISZWVlKC0thVKpbJLq3FXam+pM0zRqa2u5VU1tbS0MDAxgZGQEHx+fLheT7tu3D9999x1u3LjR5fekD+ituEgkEty7d08nxUksBQUFKCgo4NIGVSoVEhMToVQqO2UpU11djdu3b+Phhx8GACQkEHj4YXGTFsAff6zB2283LzBsDY25uTnKymh88EEwEhKa34/47DMVXnmFcVLesUOE1avFOmvA1ZghQ5iui3I5gcTEngkuhobWwMKiFgAQE9N8nv+IEWST6v22sLCgceqUAoGBNMLCjJCWVv9+fH2ZGMzlywJMm8bsrQ8eTOGRR0hs2iTGQw+ROHpUCZIEHnmkbVE3NKRhZMSs4srLO/7Z2NpSeOedWISFAbdve2LHDmPcu1f/fZg0qRavvabBQw8xsUCZDNi+XYTNm8VcmvfMmRqsXatutl89SQLffCPCxx8zljVWVjS++EKFxx9vurLRNRKJBMnJyfDz8+OaVXUUdsuKTXU2NjbmMvI6EohvibZWNQ1TnVUqFVJSUqBSqaBSqUAQhFYBZ0fjRjt37sTBgwdx7ty5Lr0HfUGvxEWj0XCW+BUVFUhOTtapx05xcTFycnIwZsyYJoWRnanklUqluHbtGqZMmcLddvy4AAsWMBXPbIElALz9tgarV2v/gBvW0Hh5eSEuLg51dcAXX4Tg9Onmhc7NjUJMjAJOTkxK61tvibnU0+7Ew4OCkxMNQ0PGEffq1a6tboYMoeDlRcHIiHm91FRBq3U9vr4KpKd3LNsKYBIFjhxRYtw4CkeOCPHEE9oJGlu3KrFkCYm//hLg0UeZ13dyonD2rBL+/kagaQIXLigwfDgz6TlwQNgkq6yrzJrFBNk9PWuwd28mLl3yxenTttw2qYkJjQULlHjkkUJYWxeioqICYrEJrlzxxY4dLpBImM/Cz49JBmhcYc+SnEzgxRcNOD+yKVNIbNumgotL9w8BxcXFSE1Nhb+/f6e9/RrDOimzqc4kSWolBejCSbmtVU1aWhpMTEwwcOBA1NTUcKsamUwGCwsL7nxMTU3bXNVs3boVV65cwdGjR7t83vqA3opLdXU1YmNj8dBDD+ns9UtLS5Geng4fHx8kJSVpFUZ2BplMhosXL2LatGlar9GSUeVLL7FBfhp5eXnIyMiAn58fnJ2dQZIkqqurUVRUhNLSMhw+7IJvv20+8QAA/vxTyRW+nTwpwKuv6jYW017s7Gg4ODCxFwMDwNCQ2csnSXDeVGo1/ml/zAjigwftO8/2Gku2BNMWQYmHH6bw4EHT7TAAKC+XwchI20Lf0pJGYaEcy5YZ4PffRQgIYLzE2AC3SgX88Yew1fTg1pg2jcSKFWqEh1MwNgbu3CHw229qREcLkJ9fn8Y1eDCFpUs1eOYZDbe1pdEAf/xBYP16EXJzmZmxo6MM//lPIZ56ioCDg20TI0e5HFi/XoyvvmK2zCwsaKxdq8KSJd2/WgGYHYP09HQEBQV1ypG8PTTcsmJTnc3NzWFvb68zJ+XGqc4URSElJQU2NjZwc3PTWtUoFAqtAk6RSKRVwNncZHbjxo3IzMzEH3/80aXz1Bd6thlGB+hMY6+2EAgEUCgUSExMhL+/f6cNLFnYwCJN01pf3BdeYM77jTeEWkaEX38tgkwGrFiRhNLSEgwfPhxWVlbczMjS0hJWVlYYMoRGcHAtJk++h1decW02+P3YY4YYOpTC3r1KTJ9OITxcgU8/Bb791hBqdc/FTMrKCJ34fLG4uFBcinFXhMXFhUJ0tBKBgTQqK9GssGzcqOIEsOH2IhuE/+QTFU6fFiI5WYDFiw2wezfzeAMDYPFiEosXy6BSAXfvEkhKEiAlRYDiYgIKBWBqCgwcSMPHh4KvL5O2zfY6oWlGUL78UoQDB0T/ZHQx52doyHi+LVmiQXg4xQ3+jKgIsWmTGFlZzHWxs6Px1lsqLFhQjdpaOfLzS5GWdofLtLK3t8ft2+Z4+WVD7jlz52rwxRfqHlmtAEyq7r179xAcHAybhg1hdAxBELCwsICFhQUGDx4MlUrFCU1eXh4EAgFsbW1hb2/fqS0rQNvXjCRJ3Lt3DwqFAvb29qBpmuucSxAExGIxnJ2d4erqylnklJeXIysrC3K5HFZWVlyCArsd31MtjnsKvV25KBQKxMTENFkVdBaSJBEXF8e1RG6pMLIjaDQa/P3333j44Yeb/bLu2yfAc8+JmliRTJlShN9+M4KZmRE3A2IDh42RyYA33xRg586Wt4SWLlXjjTfKkJUVD5HIDYcPD8GPP4qabRClT7TUxKqrRESo8cMPGjg706iuBnx8jJvU6gwezMRa2I9t0yaRVsFkRoYcrq40YmIEmD/fEEolAX9/Cl99pcKYMR1vFZ2XR+D8eQFiYoSIiRFCIqk/H5GIRESEAk88IcKsWaRWwy2pFNi9W4StW0Wcj5udHY2XX1bjP//RNKlXYTOtMjIq8dVXzjh71h0A4OCgwZdfqhEV1XM/99zcXOTk5HSqQZ8uYT3H2KQAmUzGDe7t3bJqCE3TyMjIQEkJM0E0MTFpd6ozgCYFnBUVFfjrr78AAHZ2dvjmm290ewEasG3bNmzatAlFRUXw8/PDV199hfDw8G45ll6JC9sSFWCC+2fPnsXkyZO77Gwql8sRHx8PgImTTJ06tcvnCjBf2tOnTyMiIqLFQqvz5wk89ljTNOOZMzX49lsFrK3BpT62xpEjQixZYtDqYPzRR8V4/XULCIXM9tMXX4jw00/6LzK6wtCQwvLlWXjoobuwtDQHRTlj8uTm3WUvXlQgLKxeJF5/XYxvv62fIJw5o8DYscz9MTECLF5syK3QQkNJzJhBIiyMgocHDRsbGgTBrHbKygiUlBAoLGTSkZOSBEhOFqC0VPszMDamMXKkFKGhmXjuOXsMHqw9qy8sJLB9O/P5sYF6Ozsaq1apsWxZU1FhIUngp5+YZA/2eY88Uoonn0yCgYFc5zGJ5mCtk/Ly8hAaGgoLC4tuOU5nkcvlWqnOBgYG3PZZW55jNE3j3r17KC4u5oSlMY0LONkkJaBpqjNJkkhISMA333yD8+fPo6amBtOnT8fMmTMxc+bMDpvstsbevXuxaNEibNu2DePGjcN3332HH374AampqXB3d9fZcVj0VlzaM3C3B7Yw0sHBAR4eHrh8+bLOVkMAcOrUKYSHh7eaaXbhQjUef9wCVVXa72PgQMYMsOEg1xoFBQT++18xoqNbF9uvvirB008bwdhYjKIiAl9/zTgLdyZ7qa/w2GMarF6txsCBjAHqoUN1ePbZ5jPO1q6tz7pjefxxA62UZzbQzyKRAB9/bKBVY9IRhEIaYWEUJk2iMHGiBvb2mZBIHjSxF0pMJLBlixj79wu5rqdeXhRefFGDp57SoLWExps3mdhbQgIzQw4MpPDll4zZJGu/wga/a2pqYG5uzm2f6aInC8AMvpmZmSgsLERYWJjeb/Ow/mes2KhUKtjY2HACbNygkrQ9wtIcLa1qGoqMQCDAokWL4OHhARcXF5w4cQJqtZoz8NUFo0aNQmhoKLZv387dNnToUERFRWHdunU6Ow6L3ooLAJw+fRrjxo2DqWnnvLXYwkgfHx+4u7tDrVbj3LlzmDJlik4cUQHgzJkzGD16NMzNm2+slZeXh/T0dJiaBmD5crcmtiZiMY1169RYsaL9/k2XLwvw6qtipKa2/h5eeikLS5ZoMHCgHQQCYxw5IsRPP4lw8WLv17HoikmTSHzyiRqhoYxAS6XAO+8Y4OefmxfgmTNz8d57RXBwYGaqbPB7/HjtOpbFizXYtk3V5PklJUzB6blzQqSlCXD/PqG1KrW2puHkxNjp+/pSCAigEBBAY9gwCiYmzAB19+5dlJWVISwsDKamppDLgUOHhNi1S6TVwG38eBIvv6zBjBkkWsuwLS5mhG/3buY9W1rS+PBDxhOspUU/G5MoLS1FeXk5V6jIxiQ68/ugaRrp6emQSCTce+tLNKzOLysrQ1VVFUxNTbnYSFlZGYqLi7v03lpLdZ47dy4eeeQRvPbaawCY8VBX45RKpYKJiQn27duHefPmcbe/8sorSEhIwIULF3RynIboVUC/8cyps0H9hoWRoaGhXIZKw2Ccrj40oVCotexteA5paWkoKiriAvdnzsjx6KNGWh0L1WoCb7xhgCtXBNi6VYX2hIJGjlRgy5brOHHCGZs3t2zC+fXXnvj6a2DOnCw888wdhIZaY9o0exQXW2DnTjEOHhT2SoZZVzE2pvHEExqsWKHh7Ewoigl4L1/e8lbP4sVqrFljhIoKM+Tl5SE1NRWWlpawt7dHbq729tnFiwLQNJoIvqMjG8yv/17SNPMHoFURoCgKycnJqKurw8iRI3H3rjF27RLhzz9FnPuyUEhj3jwSr7yi4QSzJeRypmbl88/FXExp0SINPvmk7WJIAwMDuLi4wMXFRatQMT09HUqlssXZe0uwollRUYERI0a06zn6BkEQMDMzg5mZGTw8PKBWqzkX5fj4eFAUBTs7O1RXV0MsFneqvTI7BrHjD7uqSUpKwq1bt7QKvHU1RgHgUrUdWd+if3B0dERxcbHOjtMQvRKXxohEIq2VTHtoWBg5ZswYraUr+2HpMguN3TdtCNu1kj0HIyOjf3LwKRw/rsCiRUZNivEOHhQhMVGA3buVCAlpeTEplUqRkJAACwsLrF7tgtdfl2HdOjG++abl7JejRz1x9KgnBg6U44knUjF2bDKeecYWr71mj/x8W5w4IcLRo6Im9jX6hFBIIzycwty5JBYs0IBNPFKrgf37hVi6tPX4wVtvqfHhh2oQhAWsrS3g6ekJhULRoPdIQ1dmCjk5Aly7JuDiLq1BEE1FqDEajQaJiYnIzxchK2scXn/dUOt6u7tTeOYZDRYtIjFgQOubCTTNvOcPPhBzad0jRpDYsEGNUaM6nmzAZlLZ2trCx8cHMpkMpaWlKC4u/mfVbcrFJCwtLZtMAimKQmpqKqqrqzF8+PAubWPrE2KxGI6OjqitrYVQKISfnx+kUik3MbGwsOAEuLPbigKBAHfv3sW8efPw/vvv44MPPuiGd1JP43NsnOmq02Pp07YYRVFQq9Xcvy9fvgxfX1/Y27evxW5tbS1X7R4YGNhsIsDp06cxduxYne0FX7p0CUOHDuVsY+rq6hAXFwcTExMEBgZyHfKA+j1WkgQ2bxbhs8/E3L46i4EBjQ0bmKBt48+8vLwcSUlJcHNzg6enp9aXIi+PwDffiLB1a/tSLMeOrca8eWnw9S2DvT2TollXZ48rVwxx9aoQ164JuPTV3sLSksb48SRmzyYxaxap1U+ksJDAr78K8fHHrc8ezcxo/PSTqkkzrIaUlgIeHswkZMiQOri7V+D0aTcEBdVg374yODjYdsmlNy1Ng2+/LcWlSw5IS6vfPjUwYNoPLF6sQUQE1eqqh+X8eQFWrxZzhZADBlD45BM1Fixofeuss6jVam6bqKysDARBcNtntra2EAgESE5OhkwmQ2hoaLclCfQGNE0jKysLBQUFGD58uNZWmFKp5K5Jw21FOzu7DrVXTktLw4wZM7B06VJ89tln3TbQ98a2mF6JS+NWx9euXYOHh0e76lEkEgkSExPh4eHRal+Is2fPYvjw4TpJRQaAK1euwMvLC46OjigvL0dCQgJcXFzg6+urtafanC1FXJwAzz1n0Gxl+rhxJL74grFOB5j4UXp6OoYOHdqqJ1NFBWMN8+mnYq0am9YYMUKKyZNzMXRoPjw8mFmqvb09qquNce2aEImJAty9S+DuXQGys4l2v25HEItJeHioMHq0CCEhNEaOJBEYyJhiNnxvR48K8cEHBu1KTpgzh6npcHVt/St++LAQTz7JDIpz52qwcaMKwcFGUCgEmD69AMuWxcHe3oq7Lm1t+VRWAhcvCnHuHNOrJju7/k0IBEyvmqgoEo8+qml3A65btxhRiYlhXsvUlMbrr6vx0kutB/l1SXMpvSKRCAKBAEFBQTr7TekDrQlLYxpuK5aVlUEul2v5n7X03Hv37mHGjBl46qmnsGHDhm7v4TJq1CiEhYVh27Zt3G3Dhg1DZGRk/w/oNxaXW7duwdnZGQMGDGj1OdnZ2cjOzkZAQECbnkUxMTEICgqCdXNufp3g+vXrGDhwIDQaDdLS0jBkyBAMGDCA20ttqX6Fpa4O+O9/xfjxx6YzY4GAxvLlGjzxxF1IpfkdOm+5HPjtNxG2bBF1eAUya1YRAgLyERSkwrBhFnBwqM8mkssZA8aCAgKFhUx/+MJCpvVzbS2BujrmvyTJbBWxvxczMxrm5ozPl7U1U+To4kLD1LQSavUdjBvnhoEDtT9nmQy4elWA06eF7V6RAYCPD4UNG1SYOrV9W0QrVhhwjstLl6rxv/+pceiQEE8/bQCaJuDpqcGjj5bD27sApqbFsLU1hK2tPYyM7CGTWeL+fab/THw801my8WRBKKQxYQKFefNIzJ6tQaNt71a5c4fAJ5+IuUw2AwMazz+vwZtvqjv0OrqGJEnExsZCqVTC2NgYVVVVMDEx4QZUXfh89RYdEZbmkMlkWqnOrP8Z6xQgFouRk5OD6dOnY968efjqq6965FqxqcjffvstxowZg++//x47duzAnTt3dJryzKLX4hIXFwcbGxt4eHg0+3iSJJGcnIyqqqp259M33sbqKjdu3IBAIEBNTQ1XhcxmgrQlLA05flyIlSsNmq12t7RU4ZNPlHjuOWGHtz5oGrhxQ4Dffxc2K2DtwcxMhSlTChEaCgQGGiM42BR2dl3/Mdy/fx9ZWVnw9w8ASdojI0OAjAwB/v5b0Go/+5YICKDw5ptqREWRaG8stKoK8PWtL7LcsEGFF19k4nzHjgnxwgvNfyZt4eWlwdCh+Zg8mcaCBQ6wtOzYa+TkEPjsMzH27mVcHgQCprvku++q4e7euz9ZjUaD+Ph4EASB4OBgLjbKBr9LS0tB0zQ3oOqi+VdPkpWVhfz8fJ2kUrP+Z2VlZSgsLMTixYsxbNgwFBYWYvz48di1a1ePivC2bduwceNGFBUVwd/fH19++SUmTJjQLcfSK3EBtBuGJSUlwdTUFJ6enk0exxZGCoVCBAcHt3uv9+rVq/D09GySNdEZNBoNLl68CIBZchobG7dZcd8axcXAihUtO++OHEli82ZVqwH/1lAqmTTa338Xdmrwbg5jYxq+vozNiZcXDXNzGsbGTPW9gUG9z5hazdiilJcTyM4mkJqqREaGETSarmfEPPKIBosWabieJh1h9WoxNm2qH/iOHFFoGT/W1jIrwKNHGRuYxttx5uYUXF0VsLOrxcCBlQgJIRESQqKu7j68vLw6PCPMySGwebMIu3eLuHjcvHkavP++GkOG9P5PVa1WIy4uDmKxGEFBQc1mNNE0jZqaGi5Zgm3+xSYFdLQivifRpbA0hqIonDx5Ehs3bsSDBw9QWlqKgIAAzJo1C2+99ZbeFZt2Fb0Wlzt37kAsFsPHx0frMQ0LI4cNG9Yh5b9x4wbc3Nza1UuiNWQyGeLi4qBSqeDu7o7BgwdzWWPtqbhvCZoGtm5VY80aY9TUNA1WEwSNhQtJvPaaGsOGdf6jq6oCYmKEOHNGiIMHhVwqbF9h3DgSjz7KxC06a1l165YAU6YYcvY8YjHTHKylMYWmme3G2lpAKATMzRmjTuY+pi97dnY2l9rJGie2p0gxNZXAF1+IsW+fkHPSnjyZxOrVnZ9M6BqVSoW4uDgYGRlxySrtgbWkKS0tRUVFBQwNDbmkAGtra73ZPutOYQEYZ+gZM2Zg5MiR2LlzJ6qqqnDy5EmcOXMG33//fadSm/UZvRMXlUrFBcHT0tJAUZRWz/sHDx4gLS0Nvr6+cHNz6/Agfvv2bTg6OjbbAa+9VFRUID4+Hs7OzlCr1TAxMeG27roiLACTmJCSkgI7Oy/s3TsY27aJW6wInz1bg9df12DkyI6nnzaEppnmUWfOCHHxohCXLgmaeHH1Ng4ONKZNIzF1KomHHmKamnWFtDQC06cbadmyTJlC4tAhZSvPap38/HxkZGQgICAAlpaWTYoUWaFpaDESFyfApk0iHDlSv5KcPJnEW2+pMW5c1z5XXaJUKhEbGwszMzP4+/t3WhDYinh2VaPRaDhDyYZFrT1NdnY28vLyMHz48G4RltLSUsycORMBAQH49ddfu2xp1RfQa3Fp2PO+YVFicHBwp6274+PjYW1t3WIcpy3Yqn9W3FJTU1FeXg4XFxc4ODh0unKXpmncv38f2dnZWj0vcnMJfPSRGPv3t/xlnDCBxOuvq/Hwwx3fFmr+XBirmdu3BYiNZYLUqakCLbPF7sTMjMbo0RRCQ+v/XFxondnDnz8vwNNPG6KqioClJc2t2qKjFZg+veMDOk3TyM3NRW5uLoKDg5skXbDZRKWlpSgtLYVKpUZ29mDs3++By5frU70iI5lAvb6sVFjkcjliY2NhbW2NYcOG6WxLq6ElTWlpKWpra7naEXt7e5iZmfXI9ll3C0t5eTlmzZoFLy8v7N27t0/Fn7qCXosL2/N+2LBhSEhIgEql6lTHyIa0FsdpDdYJ9cGDB5y4kSTJ5buzM1QTExM4ODjA3t6+3T0kWOEsLS1FSEhIs3uvN24I8M474lbb4wYHU3jxRTUiI8luSU+Vy4HsbAJZWUxKckkJgdJSAhIJ89/KSsa4US5v+T3b2mpgb0/A0pJZjTg7M38uLjS8vGh4elKws2u7KLEz1NQAa9aIsXUr0y546FAKNTVAQYEA4eEk/vpL2eHjsn5TRUVFCA0NbdEGCAAUCqZvzNdfC5CWxgwwAgGFhx+W4MUXpRg92kLv4hEymQyxsbGws7PDkCFDuvXcWqod6YolTVvk5OTg/v37CAsLa/Wz6yxVVVWYPXs2XF1dER0d3e+2vlpD78SlYavjvLw8FBYWQqlUwsLCAgEBAV1eTrYUx2kNjUaDpKQkSKVShIWFtRi412g0nNCUlZVBKBRyQtPS3rJarUZSUhLUajWCg4NbrW6maaYT4qefilvt2mhuzliIPPWUBmPHtq84rzugKKCyshyJiYlwdnaGSCTi6iNsbGy4baLuruiWy4Fdu0RYv17MbYNNmkQiP5/AvXsC2NvTuHBBgYEDO/ZToCiKszwJCwtrcdJTXAz88IMYO3aIuMwzU1MaixZpsHy5DKamJVrxCPa69HY6r1QqRWxsLJycnODj49OjotdwtVdWVsZZ0rDbZ7r4znS3sNTU1GDu3LmwsbHBoUOH+o1zQXvRa3G5e/cu7t+/D09Pz1YLIztCWloaaJrG0KFD2/V4uVyOuLg4GBgYcO2Q2xO4pyiK21uWSCSgKIobNOzs7CAUCiGTyZCQkABjY+MOCSdFAadPC/D11/VFdS3h4UHhySdJPPmkBoMG9exHXVhYiLt372LYsGFahbCsvUhpaSmqqqpgZmbGibAut0Ly8wns3i3Ed9+JuUF90CCmedfVqwLU1BBwcKBx8KACwcEduzZsGrxcLkdISEiTgYMkgbNnBfj5ZxFOnKh3OHZzo7BihQZLlmiaxI0axiNKS0tBUZRWPKInt1Nqa2sRGxuLAQMGNHGD6GkaGkqWlpaiuroaZmZm3KqmM10mu1tYpFIp5s2bByMjIxw7dqxPeq11Fb0UF5IkkZWVhezsbBgaGmLixIk6e/179+5BqVTC39+/zceyWWmOjo4YMmRIkx7a7f1C0zSN6upqTmgUCgUsLCxQW1sLJycnDB06tNM/3uRkAlu3MvUQbVnBh4SQmDqVwrRpJIYPp9pdC9JR2H4e9+/fR2BgYKvxscbuvGKxGPb29nBwcOjUzL2ykqkZ2r9fhL//FnBuAq6uFAYMoFFeTnDO1CNGkPj1V1WbXl6NUavVSExMBEVRCAkJ0Rr0CwsZQdu5U6TVznn0aBIrV2oQGUm26FTckIbpvKWlpairq4OVVb1LQFe2htuiuroacXFx8PDwwKBBg7rtOJ1FpVKhvLyc+84IBAKunsbW1rbNSRobH+suYZHJZHjkkUcAAMePH9f7tgPdhd6Ji0KhQEJCAqqrq+Hp6YmcnBydFvlkZ2ejtrYWQUFBrT6usLAQd+7cgY+PD9zc3LpUv9KY3NxcZGZmwtDQEEqlkhs0HBwcOj3DKSlhtl6+/17UrqI/GxsaDz3EZF89/DCJNowN2g0bPyorK0NISEiHfrzNzdzt7Ozg4ODQ4qBBUUwV+/nzQvz9txAXLgi0/NoGDqRgZMRY8RcUMIO9pSWNjz5iLOk7KrBKpRLx8fHcSlYoFEKjAc6cEeCnn0Q4eVIIimKOb21NY+FCDZ59tt69ubOwDa7Y7TMTExNOaJozk+wslZWVSEhIgKenZ7c0kNI1bAthNlbDbrmyYtNYhLtbWORyOR577DHI5XKcPHmy39WudAS9E5fbt29DJpMhJCQEMpkM8fHxmDRpks5ePzc3FxUVFQgNDW32fjZAm5eXh6CgINjZ2XWq4r6l187KysKDBw+4GT3rzCuRSFBZWQkzMzNOaDqzRaRSAefOCbB/P1P4196UYg8PCsOHUwgLozBiBIWgIKrDSQGsdbhcLkdoaGiX9pjZmbtEItGK0xgbO6Cw0AlJSUaIixPg0iVhky6PVlY0xGKmbqWwsH71YGdH48UX1Vi+XNOu1gaNYbOmLC0t4efnh4ICpgfLrl1CreOMH09iyRINoqJIdMduCFsNz8YjAGiZSXY2LllRUYGEhAT4+Pi0armkz7BbrozTdSUnwnZ2dqiqquKEpTsGfaVSiSeeeAIVFRU4ffp0r7Z21gf0Tlzq6uq4zmxSqRTXrl3DlClTdPb6+fn5KCoqwogRI5rcp9FokJycjNraWi4rTVcrFpIkcefOHVRXVyMkJKTZpTLrQCuRSFBeXs61X2W3iDp6fLkcOHVKiP37hfjrLyEUivY/XyikMWwY0/DK25uGlxcFHx8a3t4UmpvwqVQqzjEhKCioy/GBykogM1OAjAxmGystjcKdOzSysw1bNM4UCGgYGQEyWf39BEFj0iQKTz2lwdy5nc+ik0ql/9gROSA7exh+/lmMM2fqt91sbWk8+SSzSvH17bmfFE3TqKqq4gbUziZLlJaWIjk5GUOGDOlygbG+oFarteKeTNsLW7i4uMDWtmtO141RqVRYtGgR8vPzcfbsWdh0trK3H6F34tKwG6VcLseFCxd02pa4sLAQeXl5GD16tNbtbOBeJBIhODgYYrFYJxX3APPFS0hIAAAEBwe3Kx2R3SJiZ+4AOKHpTFpmbS1w4gSzdXT+vABFRZ3PQrKxYTotOjoyXRdtbVVQKPJhbS2Gj48zzM0JmJoyqwe21wnbY14uBxQKxgBTKiVQUQFUVhKoqCBQVMSYYBYVEais7Pz1FgiYOpmZM0ksWNB2f5S2qKqqQkxMCm7cCER0tAO3vQYAEyeSePZZRrj0wW2+YeCbTZZgZ+4tBb5LSkqQkpICf39/ndgi6Rush52vry/kcrlWDItd8ZmYmHT6N65Wq/Hcc88hIyMD58+f15lvYV9Hr8VFpVLpvC1xSUkJsrKyMHbsWO62qqoqxMfHw97enssia9yDpbNIpVLEx8fDysoKw4YN63T72KqqKk5olEolF4voTBYRTQMZGUycIiZGgIsX+579S2Pc3BTw85PA378cU6bQ8Pa27tIWEUtJSRk++kiG6GgfyGSMqNjZMWnES5Zo4OWlVz8fLdiVMBv4FgqFTepGioqKcPfuXQQEBLS7b1Jfgi1MDg0N1WoJwMawWOdiNgXczs6uQ5Y0Go0Gy5cvR1JSEs6fP98vxbmz6LW4UBSF06dPY9KkSTprQlRWVobU1FQuSaCoqAgpKSnw9vaGu7s7tw1GEESXawzKysqQnJzMeY/pYvXFVjWzQiOVSmFtbc2l8nYmzqHRACkpBBITBUhIYP6SkwWtFkP2JtbWNIKDmcr9kBAKI0dScHWltbLydFFPU1hYjMWLjXD1KrNNFBRE4YUX1HjkERJ9rWShuboRExMT1NXVwd/fv81WFX2RvLw8ZGVlNRGWxpAkqeXozG6ftWVJQ5IkXnjhBVy/fh0xMTH9ZjtRV+i1uADAqVOnEB4errPUy8rKSiQmJmLixInIzMzk0mXt7e11FrgHGA+0jIyMJjUeuoZd5kskElRVVcHc3JwTmq5Ue2s0TN+W5GSmGj8nR4CcHMbRuCtbau1FLKbh6kpz8R4vL+a/3t403N3bZwVTV1fHCU11dTVnJMna9LR2bR48eIBdu2qxbt1wiMU0vv5ahaefJrvFOaCnoWkamZmZyMvLg7GxMWQyWa/YrnQn7RWWxtA0jdraWk6EWUsaVmjYa0NRFF555RXExMTg/PnzfSKzrqfRO3Fp3Or47NmzGDlypM7SBmtqanDz5k3Y2dmhuroaoaGhMDMz02lGWEZGBueB1pMZI2zNCJsQYGRkxA2mukpXpWkaKSlZSE6ugIODH5RKC5SW4h/7FyaWIpcz/5XJwDn8snEXoZCGiQlgYsLY9VtYAPb2NBwc6v/s7ZmGYroc31QqFSc05eXlLVbCs83n8vLy8OuvEdizxxQvvqjGhg3qNo7Qd8jNzUVOTg438Da2MGITSfTNtbi9dFZYmqPhtamoqMDWrVs5/8Bbt24hJiZGL2uB9AG9t+Zk6gg0bT+wnWg0Gmg0GiiVSowePZoL3OtCWNhsM7lcjpEjR3ZroVtzGBgYwMXFBS4uLtxSXyKRID4+HgKBQCshoDMDBkVRXMZbZGTIPz+ylnvT6xMGBgZwdXWFq6urVrJEcnKyVmMrtrHTiBEjcOqUAdzdmRTt/gArnA8ePNBKxzU0NGxybcrKynDnzh2tLSJbW1u998Z68OCBzoQFaHptampq8N133+HWrVsAgFWrVmH27NmIiorqlzGrrqD3Kxdddo6srq5GbGwsVCoVJk+ezC1vga4H7hUKBVdcFxgYqFfOp2yhGRunUavVWgkB7Ql6N/RACwkJ0VkMrLdh4zQSiQT5+fkgSRLW1tZwcnKCvb19v3qfmZmZKCwsbHe/koZbRGx8j236xW676hMPHjxAZmYmQkJCumXHgKIorF69Gr/99hvOnTsHiqJw7NgxHDt2DP/9738xc+ZMnR+zL6N34tK41fG1a9cwaNCgLgcci4uLkZycjEGDBiEzMxMRERFc5lZXl/3V1dVISEiAvb09hgwZotfbCOyAwQpNXV0dbGxsuDhNc4MpK5yGhoYIDAzsd70oSJJEYmIiVCoVfH19uaQANk6jixhWb0LTNNLT01FaWorQ0NBOiwJb8FtaWorKykpu25V1CejN7313CwtN01i7di127NiB8+fPw8/PT+fH6G/ovbjcvHmTW5Z29vWysrKQk5ODoKAg2Nra4syZM/Dx8YGzs3OXl/klJSW4c+cOZ5fR1wYfmUzGCU11dTUsLCy0BlO2eJC1XNdn4ewMarWa2zZsXPzZUpyGjWH1hWtB07SWc7OuDBTZ3vDs9QF04xLQGfLz83Hv3r1uFZbPP/8cW7Zswblz59q0jtIV27dvx/bt25GbmwsA8PPzw4cffogZM2Zw5/Xxxx/j+++/R2VlJUaNGoWtW7fqjfDpvbjExsbC3t6+U9kYrHNtVVUVtxVAkiQePHiAwsJCrTReBweHDm2BsA2icnJytJp79WWUSmWTwVSpVMLZ2RlDhw7tE4NpR2BXZKwrdWs1SGwMq7nBlHW51jfYGFlNTQ3CwsK6zfK9uRRwa2trblXTnY7AbPfP0NDQbhOWLVu2YNOmTTh9+jSGDx+u82O0xNGjRyEUCuHl5QUA2LVrFzZt2oT4+Hj4+flhw4YNWLNmDXbu3AkfHx989tlnuHjxItLT07vFN62j6J24AMwgx5KYmAhzc3MMHjy4Q6/BDhwEQXBV8Y2tXORyOSQSCSQSidas3cHBodVgPNvHo7y8HMHBwf3SnC4/Px9paWkwNzeHTCZrV2+avoRMJkNcXBysra07LJwN4zSlpaVQKBRa9TT6EKehKArJycmQyWQIDQ3t0XOSyWRchlVlZSVMTU25a9MZe/yWYIUlJCSkSfdPXUDTNL799lt8+umnOHnyZBNXj97AxsYGmzZtwnPPPQcXFxesWrUKb7/9NgBm3HR0dMSGDRvwn//8p5fPtA+IS0pKCgwNDeHt7d3u59fU1PzjA2XDtWVtK3DPztolEgkqKipgamoKBwcHODo6au21s3brGo2mzeZefZGG7ZYDAwNhZ2fHFeCxQtywN01Pb4HogtraWsTFxcHZ2Rne3t5dHuzq6uo4oampqeHqInorTsMaiCqVSoSGhvZqhpdardYy2WTt8dnvTmdXfAUFBUhPT+9WYfnpp5/w3nvv4cSJExg/frzOj9ERSJLEvn37sHjxYsTHx8PIyAienp6Ii4tDSEgI97jIyEhYWVlh165dvXi2DHopLg1bHd+9excA2t3cq6SkBElJSRg8eDAGDRoEiqK412rv7LShgWRZWRkMDQ3h6OgICwsL3Lt3D2ZmZm1uo/RF2MBvSUlJi+2WG7oVs71pGiYE6HuqKmspP2jQIHh4eOj89dm6CHaSYmhoyF2bzpiPdhSSJJGQkACSJJv0mult2KxFdvuss90le0JYfvnlF7z55ps4evQoIiIidH6M9pKcnIwxY8ZAoVDAzMwMv//+O2bOnImrV69i3LhxKCgo0HIGWL58Oe7fv49Tp0712jmz6P2UUyQSaa1kWoLN4c/OzkZAQAAcHR077WgsFovh7OwMZ2dnbq89Pz8fubm5EAqFMDQ0RHV1da+3odUlJEkiJSUFUqkUI0eObHGfnCAIWFpawtLSEt7e3tysvaCgAHfv3oWlpSW3tahv3fdY59/utJRvXBfBztoTExMBQGvFp+vJiUaj4baCQ0ND9W5FKRAIYGNjAxsbG/j4+HAmm0VFRdwWLHt9WnIJ6Alh2bNnD9544w0cPHiwV4UFAHx9fZGQkICqqipER0dj8eLFuHDhAnd/42tE07TeJBXp/colOzsbNTU1CA4ObvHxrJ0926fF3Nxcp1YubLteHx8fmJiYoKSE6XlO03SXnIr1Bda1mY1PdXa22zBVteHWYmd70+iSwsJCpKWlwc/Pr1fMBRta43dHnEatViMuLg5isZhrYtaXaK4jaUOTTYFAwH2GwcHB3WZpHx0djRUrVuDPP//ErFmzuuUYXWHy5Mnw9PTE22+/rffbYvo1tfkHgiA4cWnYs7452M6ANE1j9OjRMDAw6JbmXsHBwVy7XltbWy6oW1JSgrS0tE4VJuoDbEM2MzMz+Pv7d2lQMjIygpubG9zc3LQceW/dugWxWKy1PdSTKz42htSdg1JbEAQBa2trWFtbcyu+0tJSbsBk4zSs71lHUKlUiI2NhYmJCQICAvrkarqhuwRFUZxLwN27d6FWq2FiYgKpVIqAgIBu+wyPHDmCFStW4LffftNLYQGYMUmpVHK1f2fOnOHERaVS4cKFC9iwYUMvnyWDXq5c1Go1F4AvKChAQUEBRo4c2eRxtbW1iI2NhZWVFfz9/SEQCHTWg4VdDbGrptYqmlmn4pKSEkgkEsjl8j4Rh2CLP52cnODj49NtK4uG7YslEgmA7t0eYmEnB/n5+QgJCdGJHUh30DAFvKKiQqs4sa04jUKhQFxcHMzNzeHn59cnhaU1aJpGTk4OsrOzYWxsDLlcDktLS25Vo6uEiRMnTmDx4sXYuXMnFixYoIMz7zrvvvsuZsyYATc3N9TW1mLPnj1Yv349Tp48iSlTpmDDhg1Yt24dfv75Z3h7e2Pt2rWIiYnhU5Fbo6G4FBcXIzs7W6v/CgBIJBIkJiZi0KBBGDx4cKcC9y2hVCqRmJgIgiAQFBTUYXFg4xASiQS1tbWwsrLitof0JbuMjT94enpi4MCBPXbchttDEomE603DDqa6CkCzxYPl5eVdqkrvaRp6wrEtjFsSYrbtsrW1NZcV2d9g+82wq06FQqFlJNmSAWlH+Pvvv/Hkk0/i+++/x5NPPtkN76JzPP/88zh79iyKiopgaWmJwMBAvP3221xnXraI8rvvvtMqovT39+/lM2fQS3HRaDTcCoRdGoeHhwOoL17MzMzUCtyTJKmT+EptbS0SEhJgZWWlk5mgQqHghKahJX5ntj90RUFBARd/6M0+HuyKjxUatqiV3R7qrBCzNR51dXUIDQ3VG0HvKBRFccWJrBCzJpKmpqZITk6Gvb09fH19+7WwsM4ajWnch4WiKK005/ZMVC5cuIAFCxZg69ateOaZZ/rldewt9F5c2P4rERERXMVxWVkZQkNDYWFhodPAPdvca+DAgRg0aJDOv2isnQhric8Wlzk6OvZIwLuhnXxwcHC3ZNt0hca9aczMzLSEuD3XR6PRcHVIISEhersl2VFomubiNMXFxZBKpTA0NISbm1uvTlS6i7aEpTFsijy7vVhXVwdra2utNsaNuXz5Mh555BFs3rwZS5cu5YVFx+i9uNTW1uLGjRuYMGEC4uPjQZIkVxjW2VTj5njw4AHu3buHYcOG9chsXqPRaNXSGBgYcAOprnqvNIR1FaioqEBISEi7XHF7k8a9adh6kdauj0qlQnx8PEQiEYKCgvpMUkVHYOOMzs7OMDEx4dr0GhkZcTG+7vj+9CQdFZbmYCcqrEuAiYkJ7O3tOY+12NhYREVFYc2aNXjhhRf69PXSV/RSXBp2o5TJZLh48SKMjY1hYWHBZcPoKnBPURQyMjJQXFzc4829WBr2FyktLQVBENxAqgurFY1Gw1Vsh4SE9LltosZxCIIgmvSmYQPbbNZbfwtsA0wCRlxcHDw8PLQaVGk0Gq0qeIIgdFIF3xsUFxcjNTW1S8LSGPb6FBYWYs6cOaAoCmKxGLNnz8aWLVv0IvjdH9F7cSkqKkJiYiIGDx4MLy8vrcB9V4WlYXOvkJAQvSj6a9h7RSKRgCRJbiDtzEDBpmqz9Q99fTbfXG8aKysr1NTUwM7ODn5+fv1yFso6C7Du2y3RXBU8G6fR58xFoF5YWNuh7uD27dtYsWIF7O3tUVJSgtzcXEyaNAlbt27tsH8hT+vorbio1Wrcv38fGRkZoCgKkyZNglAo1Nk2mFwuR0JCAgwNDREQEKBXNhksDQ0SG2ZWsbU0bZ2zVCpFfHw8l03U32bzNE1zWyhsx1K2MLGjLtf6THl5ORITEzvsLNAwTsNmLuprsy+2dUV3CsudO3cwY8YMvPzyy/jggw9AEAQyMjJw9OhRLFu2rF8a0PYmeikubFBWIpEgJCQEN27cwLhx42BoaKgTYWHrOxwcHODr69snBl02s4oVmoZNvhwcHJrMSNmZrpubGzw9PfvlbJ4ddNl06uZ603S2MFFfYFPGhw4dCmdn5y69FpvGy/qesXGI3o7T9ISwpKWlYcaMGVi2bBk+/fTTHnmv69atw4EDB5CWlgZjY2OMHTsWGzZsgK+vL/cYfe/J0hX0UlzY4DprFR4TEwNzc3M4OzvD3t6+S1s7fb25Fws7kEokEtTU1Gh5etXU1ODOnTvd6qHV25SUlCAlJQVDhw7VMu5jaZiZV1FRAWNjY05odGn73p2w79Hf31/nljUN4zSlpaWcW3FPWxmxv8eAgIBu60F/7949zJgxA0899RQ2bNjQY5PJ6dOnY+HChRgxYgQ0Gg3ee+89JCcnIzU1lZvs6HtPlq6gl+JCkiQUCgUXuJfJZFz1e11dHWxtbeHo6NihoruGzb2684vcG7CeXuxACgDOzs7w8PDQ+6ywzsD28Wjv58gOpGxCgFAo5IRGX3vTsNt9PfFdbSlOw26/dlechhXPwMDAbnuPOTk5mD59OubPn48vv/yyVz/r0tJSODg44MKFC5gwYQJomtb7nixdQW/FRalUNtuDha1+LykpgVQqbXVriKVhc6+QkJA+PyNoDpqmkZGRgcLCQri5uUEqlaK8vBzGxsbc9TE3N+8TM/aWYCcIubm5na7TadibprS0FCRJcjN2felNw4qnLjOm2kvDwtbS0tJui9NIJBIkJyd3q7Dk5eVh2rRpmDlzJrZu3drrk4jMzEx4e3sjOTkZ/v7+yM7O1nvzya6gl+KyatUq5OfnY+7cuZg+fXqLs2+2k2RJSQlqamqatVlRqVRISkrqt829AG0ftNDQUK5grOGMvbS0lDOPdHBw6JHeIrqEFc/i4mLO+VoXr8n2piktLdULT7i8vDxkZWXpTZFrY6drXcRpekJYCgsLMW3aNEyaNAnfffddr6dj0zSNyMhIVFZW4tKlSwDQJ3qydAW9FJfExET88ccfOHDgAPLz8zFlyhRERkZixowZLe6XN7ZZsbCwgLW1NYqLi2FhYdFlx199Ra1WIyEhATRNc+2cm4N1mmWvEQBOaNhaEX2FoiikpqaiqqpKSzx1TeOOkmwcq6UKb12Tk5OD3NxchIaG6qXJZuPtRYFAwAlNe+M0rLAEBATAwcGhW86zuLgYM2bMwKhRo/Dzzz/rxe/+hRdewPHjx3H58mUuDsqKS2FhoVayxrJly/DgwQOcPHmyt05XJ+iluLCwHlH79+/HwYMHkZmZiYceegiRkZGYNWsWrK2tW6zUzsnJwYMHD0DTNCwsLHrdz6s7kMvliI+P56zW2/sjaq6WpmGKsz78GFlIkuRqkXqyF3xLvWns7e11vr3I2vI8ePAAYWFhfWLbtmGcRiKRQKVScYWbLcVpSktLkZSU1K3CIpFIMHPmTAQGBuLXX3/Vi23Ol156CYcOHcLFixe1il/5bTE9gXW5ZYXmzp07mDhxIqKiojB79mzY2dlxP/g7d+6guLgYQ4YMgYODA0pLS1FSUsL5eTk4OHB+Xn0Vtg98V9Opm2tbzAZzdelS3BnYVRmALjUx08V5sOaIZWVlOu1NQ9M07t27h6KiIoSFhfXJ72RzBqSNV309ISzl5eWYNWsWvL29sWfPnl6vXaNpGi+99BIOHjyImJgYeHt7N7nfxcUFr776Kt566y0AzMTYwcGBD+j3FjRNIzMzkxOa+Ph4jBs3DnPnzkV8fDwuXryIS5cuNcmZZwcJdlnfV4Pd5eXlSEpKgoeHBzw8PHR63g1raViXYvYa9WRRIussYGhoiMDAQL1ZTTXsTdOwG2lnrFZomkZaWhrKysoQFhbWI1tvPUHjVZ+hoSEUCgW8vLx0/n1lqaqqwuzZs+Hq6oro6Gi9cCJYuXIlfv/9dxw+fFirtsXS0pJzA9H3nixdoU+KS0Nomsb9+/fxxx9/4PPPP4dGo0FoaChmzpyJyMhIuLq6NvtlJkkSZWVlKCkp0TKOdHR01Os6CLbl8rBhw7pcVNcWbMKERCLhihJZoenOgZDtU2JlZaXXzgItOSi0pzcNTdNITU1FZWUlwsLC9MJ6qDsoLi5GSkoKLC0tIZVKOxWnaYuamhrMnTsXNjY2OHTokN4k7bQ0hvz8889YsmQJAP3vydIV+ry4AExNQGRkJIyMjPDNN98gJiYG0dHRuHr1KkJDQxEZGYnIyMgWZ00NjRFLS0shEon0LquK7ch3//59BAYG9niKKtstka2labi9qKtugACzcoqNjYWjo2Of6lPCWq00XPWx2Yv29vZa4sG2jqitre3T/WbagnUX8PPz4/ouNfaFY33POltPI5VKERUVBWNjYxw7dqzfinRfpF+Iy969e3H8+HHs2LGD27qhaRolJSU4ePAgoqOjcfHiRfj7+3NC4+3t3ezA1TirStcOxZ2Boihu+0Qf6nQaby+ydu9drX6vqqpCfHx8t/XT6UkaW76zvWns7OyQnZ0NuVyOsLAwvdi+6Q7KysqQlJTECUtjGtoZlZaWcmLMrmraszKuq6vDI488AoIgcPz48T4Zr+rP9AtxAZgva0uDEU3TKC8vx+HDhxEdHY2zZ8/Cx8cHkZGRiIqKwtChQ1sUmqqqKs4dgN1fd3R07LH0XZIkkZSUxGVL6dsst/GqTygUaq362nuN2MHI29sbbm5u3XzWPUvD3jRsS4UBAwbAycmpz/deaQ72s+xIb6TmsvNYoWluwiKXy/HYY49BLpfj5MmTvOmkHtJvxKW9sD3cjxw5ggMHDuD06dMYOHAgJzRsv5iWnseuaDQaTZes8NsD2/xKKBQiKCio17Nf2oKtfi8pKdEKdrflV1VUVITU1NReb7vcnWg0GiQkJICiKLi5uXFJAWxvGl3GIHoT1ky0K0331Gq1Vn8aoVDIJecMGjQIAoEATzzxBCoqKnD69Ole6cHE0zb/OnFpTE1NDY4dO4YDBw7g5MmTcHR0xNy5czFv3jyEhoa2KDRs+m5JSQmX4+/o6KizOpG6ujrEx8dzBaD6GtRuCTbYza761Gq1Vi0NW3+Ql5eHzMzMXrE66SnUajU3SQgODua+H41rRdhrxMYg9H0y0RhdCEtj2AlLaWkp3n//fcTExMDDwwMynCTSHAAAIxxJREFUmQxnz56Fp6enTo7Do3v+9eLSkLq6Ovz111+Ijo7G8ePHYW1tjblz5yIqKgojR45sVjTYvWN2EJXL5R3qudIcVVVVSEhIgKurK7y8vPr8tglN06itreVWfazNCkEQqKysREhISL+dfapUKsTFxbWZUs1eI1Zo2JYK7KpG37ZDG8MKiy5aA7SEUqnEs88+i9TUVBgaGiItLQ3h4eFYuXIlHn300W45Jk/n4cWlBeRyOU6fPo3o6GguC2XOnDmIiorC2LFjW6z8ZYOUJSUlnIMzG4Noj9BIJBKkpKTAy8ur1Y6DfRmpVIrU1FTU1NQAQLOecP0BlUqF2NhYzkGhI6tPmUzGCY2+96bpCWHRaDRYtmwZkpOTcf78eTg6OiIvLw9HjhyBo6MjFixY0C3H5ek8vLi0A5VKhb///hvR0dE4cuQIBAIBZs+ejXnz5iE8PLxF0WjYKqC2thbW1tZcq4DmChLZPjb+/v7dVsXc27BpuKzJJkEQTTzh9HUQ7QgKhQKxsbGwsLCAn59fl7Y19bk3TUVFBRISErpVWEiSxMqVK3Hjxg3ExMQ027+nu7h48SI2bdqE2NhYFBUV4eDBg4iKiuLu78/NvroKLy4dRK1W48KFC9i/fz8OHToEtVqN2bNnIzIyEpMmTWqxir01B2dDQ0NkZmaioKAAwcHB/XaLiCRJJCYmQqVSITQ0tEkabsNBtKFVj4ODA8zMzPrM9iBbBMq2l9bleetTbxpWWIYMGdJtAz5FUXj55Zdx4cIFnD9/vsdX83/99ReuXLmC0NBQPPLII03EpT83++oqvLh0AZIkcenSJURHR+PgwYOQSqWcM8DkyZNbLOhi0y5LSkpQVVUFkUgEmqZ7pTiyp2CD2gKBAMHBwW0aCmo0Gq1aGtZBwcHBQa/Td+vq6hAXFwd7e/tuLwLtzd40PSUsb7zxBk6ePInz589rmT72BgRBaIlLf2/21VV4cdERJEni+vXrnNCUlZVh2rRpiIqKwrRp05rd4mGNGeVyOUxMTFBVVQUzMzM4Ojr2+W2hhigUCsTFxXXYvZmF9fNqWCfS24WtzcG6C7i4uPR4IkZLvWnYVY0uizV7Slj++9//4tChQzh//jy8vLy65TgdobG49HdX467Ci0s3QFEUYmNjOWPNgoICTJ48GVFRUVxPmqysLPz1118YO3YsAgMDIRKJoFarW3Rw1qXFSk/CzuRtbGwwdOjQLgtBc7P17q43ag81NTWIi4uDm5sbBg8e3OufVXO9adjr1BVfuMrKSsTHx8PX1xeurq46PON6KIrC6tWr8dtvvyEmJkbL9LE3aSwu/b3ZV1fhxaWboSgKSUlJnNBkZWVh3LhxSExMxMSJE7Fz585mB0SNRsPFH1iLFXZF01ccnGtqahAfH99tM/mWjCO7kgbeGaqrqxEXF4dBgwbBw8OjR47ZEVqqfu/od6knhIWmaaxduxY7duzA+fPn9Sow3pK49NdmX12FF5cehKZp7Ny5EytXroSHhwcyMzMxadIkrieNra1tqw7O7Ey0L8QfKioqkJiY2GMDbkOvqoZ1Iux16i4Pr8rKSiQkJMDT07NPpI6z1e/spEUsFnNC05pdT08Jy+eff44tW7bg3LlzCAoK6pbjdBZ+W6xj8OLSg/z555949tln8fXXX+PZZ5/letIcOHAACQkJGD9+PCIjIzF37lw4Ojq2KDQVFRWcxQrr5eXo6Kg3Ds5srU53DkRtIZPJOKFht4XYNHBdOeey9R29+T67QkOTVtaup2FCALuiZoXFx8eHa9Gra2iaxpYtW7Bp0yacPn0aw4cP75bjdIWWAvr9tdlXV+HFpQe5ePEiZDIZpk+frnU7TdPIzc1FdHQ0Dhw4gJs3b2LMmDGYO3duqz1p9NHBubCwEGlpaXpVq8NuC0kkEs6huKtJE6ydfHfWd/QkzW0x2trawszMDHl5ed0uLNu3b8dnn32GkydPYvTo0d1ynM4glUqRmZkJAAgJCcHmzZsxadIk2NjYwN3dvV83++oqvLjoGTRNIz8/HwcOHMCBAwe4njRRUVGIjIzEwIEDW3VwZmtpGppG2tra9ojQ5ObmIicnB0FBQbCxsen243WGhg7F5eXlnepGWlJSgpSUFPj7+zdrJ9/XYXvT5OXloaCgAAC4jqS6XPmxx/rxxx/xwQcf4Pjx4xg/frzOXlsXxMTEYNKkSU1uX7x4MXbu3Nmvm311FV5c9BiaplFcXKzVkyYgIIATmpaC5I1NI7vbwZltO11QUIDQ0NA+Y3/esCCxtLQUYrG4zSZx7MosICAA9vb2vXDWPQPbW8fLywt2dnbN9qaxt7fvUnErTdP45Zdf8Oabb+Lo0aOIiIjQ7Zvg6VV4cekj0DSNsrIyrifNuXPn4OvryzU/a6knTUsOzo3dibtyXnfv3kV5eTlCQ0P7bG0ORVFaQgOAExq2d09+fj4yMjL6tYMzoC0sjXvrsOnyrB2+oaEhJzQdifnRNI0//vgDq1atwqFDhzB58uTueCs8vQgvLn0QtrfM4cOHuZ40gwYN4loFtGTR35yDs62tLdcqoKOpuyRJIiUlBXV1dXrZyKyzNNxilEgkIEkSxsbGqKurQ1BQENdbpD/CplU3JyyNYRvFsWLTkd40+/fvx//93/9h3759mDlzpq7fBo8ewItLP6C6ulqrJ42zszMnNCEhIS3GW1pycLa3t28zdVej0SAxMREkSSI4OLjftuulaRppaWkoKCiAoaEhVCqV1nXqaz1XWqMjwtKY5nrTsNep8cTlyJEjeP755/H7778jMjJS12+DR0/gxaWfIZVKuZ40J06cgI2NDebMmYN58+ZhxIgRLc4m2dTdkpISzsG5obFmQ9gOmWKxmHMX6I/QNI2srCzk5+cjLCwMZmZmXOW7RCKBVCpt9Tr1JVhh0UW9TnM1R2fOnIGNjQ1cXFzw2muvYdeuXXwPln4OLy79GJlMptWTxsTEhGt+NmbMmBZFgXVwZnuJsDUiDg4OoGkacXFxMDc375MdMtsLTdO4d+8eioqKOGFpTOPrZGFhwQlNVyxWehpdCktzyGQyfPvtt/jjjz9w9+5dDB48GEuXLkVUVBSGDBmi8+Px6Ad6LS65ubn49NNPce7cORQXF8PFxQVPP/003nvvPa1tmLy8PLzwwgs4d+4cjI2N8eSTT+Lzzz/vt1s1nUGhUODs2bM4cOAADh8+DKFQyDU/a60njVKp5AbQyspKAOBaL/elAbQjsFthZWVlCAsLa9f7VCqVWj1X2IwqtpZGH4pbm6OmpgaxsbHd7jAQExODxx57DOvWrYOJiQkOHz6M06dP45133sHq1au77bg8vYdei8vJkyexd+9ePPHEE/Dy8kJKSgqWLVuGRYsW4fPPPwcAbs/f3t4eX3zxBcrLy7F48WLMnz8fX3/9dS+/A/1ErVYjJiYG0dHRXE+aOXPmIDIyEhEREc1u77CzWysrK9A0zQ2g/c3BmaZppKamorKyEmFhYZ2q6VCr1VrtAoyMjDih6e3mXg1hhWXw4MEYOHBgtx3n8uXLeOSRR7B582YsXbqUe/9SqRQymUxvim15dItei0tzbNq0Cdu3b0d2djYAppnP7Nmz8eDBA86ZdM+ePViyZAkkEkmfqbnoLTQaDS5fvsw1P2N70kRFReHhhx+GsbExDh8+jIqKCjz88MPc7JZNSW1YjMgKTV9q7NUQiqKQkpICqVSqs+w3NqOKTXFm7Xra8vLqbnpKWK5fv4558+Zh7dq1WLlypV58L7Zt24ZNmzahqKgIfn5++OqrrxAeHt7bp9Xv6HPi8v777+PkyZO4ffs2AODDDz/E4cOHkZiYyD2msrISNjY2OHfuXLPVtTzNQ5Ikrl27xvWkqaiowOjRo3Hx4kWsW7euRa8ktrFXSUmJ1kzd0dGxzzg4s+7VcrkcYWFh3bKl2pyXF1vc2lbqri5h2wN4eHh0q6lobGws5syZg9WrV+OVV17Ri+/B3r17sWjRImzbtg3jxo3Dd999hx9++AGpqal9wni0L9GnxCUrKwuhoaH44osvsHTpUgBM74Tc3FycPn1a67GGhobYuXMnnnjiid441T4PRVF49913sXnzZgwdOhSZmZmYMmUKIiMjuZ40zdHYwVksFnMrGn11cGbbL6vVaoSGhvZIejFbq8TGs9RqtU6LW1uitrYWsbGx3S4siYmJmDVrFt555x28+eabevO5jxo1CqGhodi+fTt329ChQxEVFYV169b14pn1P3plTb569WoQBNHqH7syYSksLMT06dOxYMECTlhYWqpM15cvdF9k48aN+O6773Du3DnEx8fj8uXL8PPzw6ZNm+Dh4YHHHnsMv/76KyorK9FwfiIUCuHo6IiAgABMnDgRQ4YM4VocX7p0CWlpaaioqIC+zGk0Gg3i4+NBkiTCwsJ6rG6FIAhYW1vD19cX48ePx/Dhw2FiYoLs7GxcuHAB8fHxKCgogEql0tkxe0pYUlJSMGfOHLz66qt6JSwqlQqxsbGYOnWq1u1Tp07F1atXe+ms+i+9snIpKytDWVlZq4/x8PDg9rwLCwsxadIkjBo1Cjt37tTap+a3xbqHX3/9FYGBgQgMDNS6nQ14s60C7t69i0mTJiEyMrLVnjRsB0nWHYCt5nZ0dOw1B2dW9IRCIYKDg3uti2VjGtbSsDVH7PZZZ+NArLAMHDiwW3vR3717FzNnzsTy5cvxySef6I2wAMw44urqiitXrmDs2LHc7WvXrsWuXbuQnp7ei2fX/9D7bbGCggJMmjQJYWFh+PXXX5sMAGxAPz8/n7M+37t3LxYvXswH9LsZthaEFZrExESEh4cjMjISc+bMabEnDU3TXKtiiUQCiqJ63MFZpVIhLi4OhoaGCAwM1BthaYxcLucSJ6qqqrhaGnt7+3Zn6PWUsNy7dw/Tp0/HokWLsH79er2rgWLF5erVqxgzZgx3+5o1a/DLL78gLS2tF8+u/6HX4lJYWIiJEyfC3d0du3fv1hoAnJycANSnIjs6OmLTpk2oqKjAkiVLEBUVxaci9yA0TSMnJ4frSXPr1i2MGTOGM9Z0cXFpt4OznZ0dHB0du8XBGWBqUuLi4mBiYoKAgAC9GwRbQqVSaWXomZqacplnLWXo9ZSw5OTkYPr06VzKsT5eU5VKBRMTE+zbtw/z5s3jbn/llVeQkJCACxcu9OLZ9T/0Wlx27tyJZ599ttn7Gp52Xl4eVq5c2aSIsi/bcfRlaJrGgwcPtHrSDB8+nBOalnrSNHZwViqV3IpGV0FuhUKB2NhYWFhYwM/PTy8HwfbAZuixtTTNtb6WSqW4ffs23N3dMXjw4G47l7y8PEybNg2zZs3CN998o9fXdNSoUQgLC8O2bdu424YNG4bIyEg+oK9j9FpcePo+NE2jqKgIBw8exIEDB3Dx4kUEBgZyQtNaT5qGxpqsg3NXDCPlcjliY2NhY2PTYouCvkhDd2KJRAKBQABra2uUlZVh4MCB8PT07LZjFxYWYurUqXjooYfw/fff67WwAPWpyN9++y3GjBmD77//Hjt27MCdO3e6td7n3wgvLjw9BtuThhWac+fOYciQIYiMjOR8ploa8Ovq6ritM6lUChsbGzg6OrbLwZl9fmxsLBwcHODr69tvhKUxFEWhqKgIaWlpXOZldzWKKy4uxvTp0zF69Gj8/PPPehu3asy2bduwceNGFBUVwd/fH19++SUmTJjQ26fV7+DFhadXYIP6R44cQXR0NM6cOYNBgwYhMjIS8+bNa3XLinVwlkgkqKmpadOZWCqVIjY2Fi4uLi2ulPoL7HsdMGAABg8ejOrqau5aKZVKrVqarqRdSyQSzJw5E0FBQfjll1/6rTM2T+fhxYVHL2B70kRHR+PUqVNwdnbmVjSt9aRRKBTc1lljB2cjIyOuGt3d3R2DBg361whL462w5mzwbWxsOFHuiCNBeXk5Zs2aBW9vb+zZs6df9bTh0R28uOiINWvW4Pjx40hISICBgQGqqqqaPIZ3b24fUqkUJ06c4HrS2Nracq0CWutJ09jB2cTEBHK5HO7u7vD29u7hd9Gz1NXV4fbt23B1dYWnp2ebItp49ceKsr29fatmnZWVlZgzZw4GDBiA/fv3899dnhbhxUVHfPTRR7CyskJ+fj5+/PHHJuLCuzd3DplMhlOnTiE6OhrHjx+Hqakp5s6di8jIyFZ70kgkEiQlJcHExAQymYyzwHd0dOw3Ds4sHRWWxigUCi4ZoLKyskW36+rqakRGRsLW1hYHDx7sN22teboHXlx0zM6dO7Fq1aom4sK7N3cdhUKBv//+m+tJIxaLMXv2bMybNw/jx4/ntmdu3LgBqVSKIUOGwNXVtV86OLN0VVgao1KpuBTn8vJylJSU4MaNG5g9ezbWr18PU1NTHD16tFOtCHj+XfBRuB7i2rVr8Pf354QFAKZNmwalUonY2FjepqYdGBkZYfbs2Zg9ezbUajXOnz+P6OhoPPfccyBJErNnz4aLiws2b96M6OhouLq6AgDEYjFcXFzg4uKiVR9y8+ZNGBoackKjT71W2gMrLC4uLjoRFgAwMDDQulZXrlxBbm4uFi5cCJqmsXTpUty6dQvjxo3rM9lhPL2Dfiel9yOKi4vh6OiodZu1tTUMDAxQXFzcS2fVdxGLxZg6dSq+++47FBQUYP/+/SgqKsKGDRvg4+OD33//HceOHYNCodB6nkgkgpOTEwIDAxEREQEfHx8oFArExcXh8uXLSE9PR1VVld4Ya7YEm1rdnRlwIpEII0eO5LZ0f/31VyiVSjzyyCNwd3dvcm15eBrCi0srdMa9uTV49+buQSQSIS8vD1euXMHhw4exdetW2Nvb480334SHhweWLFmCgwcPoq6uTut5bOOuhg7OGo0GCQkJeungzCKTyRAbGwtnZ+duTa1WKpV46qmnUFdXh5MnT+LRRx/Fjh07UFRUhOPHj/dKzGXNmjUYO3YsTExMYGVl1exj8vLyMGfOHJiamsLOzg4vv/yyTt2ledoHvy3WCi+++CIWLlzY6mPaa13u5OSEGzduaN1WWVkJtVrdZEXD0zFUKhW2bduGI0eO4KGHHgIAhIeHY/Pmzbh16xb279+Pjz76CMuXL8fUqVO5njTm5ubcawgEAtjb28Pe3l7LwTk5ORk0TXPJAL3l4Mwik8lw+/ZtODk5dauwqFQqPPPMM5BIJPj7779haWnJ3ScSiRAcHNwtx23PeS1YsABjxozBjz/+2OR+kiQxa9Ys2Nvb4/Lly1ziDE3TfOJMD8MH9HVMWwF93r25e2hrBUhRFBISErB//34cPHgQubm5ePjhhxEZGYlZs2a12MissYMzSZJcbUhPOTizNBQWb2/vbhMWtVqNJUuWICsrC+fOnYOdnV23HKcr8Ikz+g+/LaYj8vLykJCQgLy8PJAkiYSEBCQkJEAqlQJgGhINGzYMixYtQnx8PM6ePYs33ngDy5Yt47/wOqCtgVYgECA0NBRr165Famoqbt26heHDh+Prr7/GoEGDMH/+fOzatQvl5eVa22AEQcDGxgZDhgxBeHg4QkJCIBaLkZaWhpiYGCQnJ6OkpAQkSXbr+2O3whwdHbtVWDQaDZYvX4709HScOXNGL4WlNdpKnOHpOfhtMR3x4YcfYteuXdy/Q0JCAADnz59HREQEhEIhjh8/jpUrV2LcuHFaRZQ8PQtBEPD394e/vz8++ugjZGRkIDo6Gj/88ANefvllhIeHIyoqCnPmzIGDgwM3kBMEASsrK1hZWcHb2xu1tbUoKSlBZmYmUlJSuFYBum5TzAqLg4MDfHx8uk1YSJLEypUrER8fjwsXLvTJ7Vo+cUZ/4LfFeHj+gaZpZGdncz1pbt++jbFjxyIyMhJz585ttSdNQ2NNmUzWZQdnFrlcjtu3b3e7sFAUhZdeegmXLl3C+fPn4ebm1i3HaY7Vq1fj448/bvUx7EqTpaVtseXLl+P+/fs4deqU1u0GBgbYvXt3mzFUHt3BiwsPTzPQNI28vDyuJ821a9cwYsQIzobG3d29VQdn1u+MdXDujIdXTwrL66+/jlOnTiEmJqbdSSq6oqNtz4GWxYVve64/8OLCw9MGNE2jsLCQaxVw6dIlBAYGIioqCpGRka0WMMrlcm5FU1NTAysrK65os7Vmdqyw2Nvbd2uLAIqi8N///heHDh3C+fPn4eXl1S3H0TV84oz+w4sLD08HoGkaEokEhw4dwoEDB3D+/HkMGTKEE5rWetI05+DMrmga2qn0pLB89NFH+OOPP3D+/Hn4+vp2y3F0SV5eHioqKnDkyBFs2rQJly5dAgB4eXnBzMyMb3uuR/Di8i9k27Zt2LRpE4qKiuDn54evvvoK4eHhvX1afQ42Tfnw4cOIjo7G33//jcGDB3OtAlrrSdPYwdnc3ByOjo6wsLBAamoqbG1tWxUqXZz7mjVr8OOPP+LcuXPw8/PrluPomiVLlmglzrCwiTMA3/ZcX+DF5V8G2+Z127ZtGDduHL777jv88MMPSE1Nhbu7e2+fXp+muroaR48e5XrSuLq6ckITHBzcotCoVCqUlpaiqKgIlZWVEIvFcHNzg6OjI8zMzHR+njRNY9OmTfjmm29w7tw5BAYG6vwYPDy8uPzLGDVqFEJDQ7F9+3butqFDhyIqKgrr1q3rxTPrX9TW1nI9af766y/Y2dlhzpw5mDdvHkaMGNFEaBQKBW7fvg1ra2tYW1trOTiz7gC6cHCmaRpbtmzBpk2bcObMGYSFhXXp9Xh4WoIXl38RKpUKJiYm2LdvH+bNm8fd/sorryAhIQEXLlzoxbPrv8hkMpw8eZLrSWNmZsZlnY0ZMwa5ubn47LPP8Nprr8Hf358TkIYOzmVlZTAwMOiSgzNN09i+fTs+++wznDp1CqNGjeqOt8vDA4AvovxXUVZWBpIkmxSZOTo68gVm3YiJiQnmz5+P+fPnQ6FQ4MyZMzhw4AAWLlwIoVAIgUCAoKCgJpX3rIOzk5MTSJJEeXk5JBIJ4uLiIBKJuBVNS9Y1DaFpGj/++CM+/fRTHD9+nBcWnm6HF5d/IY0HIt6ZuecwMjLCnDlzMGfOHOTk5GD8+PGwtrZGQkICfHx8MHv2bERFRSEiIkKrJoZ1cHZwcABFUZzQJCQkgCAITmisrKyabLnRNI3du3fjvffew9GjRzF+/Piefts8/0J4cfkXYWdnB6FQ2GSVIpFI+qTVR1+mqKgI06ZNw/Tp07Fjxw5QFIVLly5h3759WLlyJeRyOWbNmoW5c+di8uTJWgWEzTk4SyQSLQdnc3Nz2Nvbw9DQEH/88QfefPNNHDp0iMuo4uHpbviYy7+MUaNGISwsDNu2beNuGzZsGCIjI/mAfg8ilUqxfft2vP76601WGiRJ4urVq5yDc3V1NaZNm4aoqChMnToVJiYmzb4mTdOoqqpCSUkJfvrpJ+zcuRNhYWG4efMm/vjjD0RFRfXAO+PhYeDF5V8Gm4r87bffYsyYMfj++++xY8cO3LlzBwMHDuzt0+NpBEVRuHnzJic0JSUlmDJlCqKiojB9+nStnjQNIUkS//vf/7Br1y7U1NRAJpNh9uzZeOSRRzBv3jy+RTFPt8OLy7+Qbdu2YePGjSgqKoK/vz++/PJLTJgwobdPi6cNKIpCfHw89u/fjwMHDiAvLw+TJ09GZGQkZs6cqRXYP378OJYsWYLdu3dj/vz5iI+PR3R0NG7cuIEzZ87wMTaebocXFx6ePghN00hJSeGEJiMjA5MmTUJkZCTMzMywYsUK/PDDD3jiiSd6+1SRm5uLTz/9FOfOnUNxcTFcXFzw9NNP47333tNKWsjLy8MLL7zQpLK+I2afPPoDH9Dn4emDEASBgIAABAQEYPXq1UhPT0d0dDS2b9+O5ORkbNmyRW/s5dPS0kBRFL777jt4eXkhJSUFy5YtQ11dHdfPiG9P3P/gVy48PP0ImqZx48YNjBo1Sq+3vjZt2oTt27cjOzsbAN+euD/Ctznm4elHEASB0aNH67WwAIwPm42NDfdvvj1x/4MXFx4enh4lKysLX3/9NVasWMHdxrcn7n/w4sKjN1y8eBFz5szh2gkfOnRI636aprF69Wq4uLjA2NgYERERuHPnTu+cLA9Wr14NgiBa/bt9+7bWcwoLCzF9+nQsWLAAS5cu1bqvpRbS+r4K42kePqDPozfU1dUhKCgIzz77LB555JEm92/cuBGbN2/Gzp074ePjg88++wxTpkxBenp6i/UePN3Hiy++2GbSQMOWyYWFhZg0aRJXX9UQJycn3LhxQ+u2yspKqNVq3j2ir0Lz8OghAOiDBw9y/6YoinZycqLXr1/P3aZQKGhLS0v622+/7YUz5OkI+fn5tLe3N71w4UJao9E0uf/EiRO0QCCgCwsLudv27NlDGxoa0tXV1T15qjw6gt8W4+kT5OTkoLi4GFOnTuVuMzQ0xMSJE3H16tVePDOetigsLERERATc3Nzw+eefo7S0FMXFxVqxlKlTp2LYsGFYtGgR4uPjcfbsWbzxxhtYtmwZnynWR+G3xXj6BOxA1Fy7gPv37/fGKfG0k9OnTyMzMxOZmZkYMGCA1n30P5UQQqEQx48fx8qVKzFu3DitIkqevgkvLjx9Cr5dQN9jyZIlWLJkSZuPc3d3x7Fjx7r/hHh6BH5bjKdP4OTkBAB8uwAenj4CLy48fYJBgwbByckJZ86c4W5TqVS4cOECxo4d24tnxsPD0xz8thiP3iCVSpGZmcn9OycnBwkJCbCxsYG7uztWrVqFtWvXwtvbG97e3li7di1MTEzw5JNP9uJZ8/DwNAfvLcajN8TExGDSpElNbl+8eDF27twJmqbx8ccf47vvvkNlZSVGjRqFrVu3wt/fvxfOloeHpzV4ceHh4eHh0Tl8zIWHh4eHR+fw4sLDw8PDo3N4ceHh4eHh0Tm8uPDw8LTK3Llz4e7uDiMjIzg7O2PRokUoLCzUekxeXh7mzJkDU1NT2NnZ4eWXX4ZKpeqlM+bRB3hx4eHpJOvWrcOIESNgbm4OBwcHREVFIT09XesxdD9oEzBp0iT8+eefXCvlrKwsPProo9z9bIviuro6XL58GXv27EF0dDRef/31Xjxrnl6n9zwzeXj6NtOmTaN//vlnOiUlhU5ISKBnzZpFu7u701KplHvM+vXraXNzczo6OppOTk6mH3/8cdrZ2ZmuqanpxTPvGocPH6YJgqBVKhVN0/WOxgUFBdxj/vjjD97R+F8OLy48PDpCIpHQAOgLFy7QNN0/2wSUl5fTjz32GD1u3Djutg8++IAODAzUelxFRQUNgD537lxPnyKPnsBvi/Hw6Ijq6moA4HrD96c2AW+//TZMTU1ha2uLvLw8HD58mLuPb1HM0xy8uPDw6ACapvHaa69h/PjxnGNAa20CenvQ7WiL4jfffBPx8fE4ffo0hEIhnnnmGc4uH+BbFPM0hfcW4+HRAS+++CKSkpJw+fLlJvfpY5uAjrYotrOzg52dHXx8fDB06FC4ubnh+vXrGDNmDN+imKdZeHHh4ekiL730Eo4cOYKLFy9qNcNq2CbA2dmZu10f2gSwYtEZ2BWLUqkEAIwZMwZr1qxBUVER9z5Pnz4NQ0NDhIWF6eaEefoc/LYYD08noWkaL774Ig4cOIBz585h0KBBWvf3hzYBN2/exDfffIOEhATcv38f58+fx5NPPglPT0+MGTMGAN+imKcFejObgIenL/N///d/tKWlJR0TE0MXFRVxfzKZjHvM+vXraUtLS/rAgQN0cnIy/cQTT/SpVOSkpCR60qRJtI2NDW1oaEh7eHjQK1asoPPz87Ued//+fXrWrFm0sbExbWNjQ7/44ou0QqHopbPm0Qd4V2Qenk7SUtzk559/5tr60nybAJ5/Kby48PDw8PDoHD7mwsPDw8Ojc3hx4eHh4eHROby48PDw8PDoHF5ceHh4eHh0Di8uPDw8PDw6hxcXHh4eHh6dw4sLDw8PD4/O4cWFh4eHh0fn8OLCw8PDw6NzeHHh4eHh4dE5vLjw8PDw8Oic/wf7T2wL6/WxjAAAAABJRU5ErkJggg==\n" 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}, "metadata": {} } @@ -368,14 +368,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ - "import scipy.io.savemet as savemat\n", + "import scipy.io\n", "\n", - "savemat(\"Lorenz63_fitRandomSample.mat\", {\"x\": results_test_np})" + "scipy.io.savemat(\"Lorenz63_fitRandomSample.mat\", {\"x\": results_test_np})" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/examples/ode/lorenz63/Lorenz63_fitRandomSample.mat b/examples/ode/lorenz63/Lorenz63_fitRandomSample.mat new file mode 100644 index 0000000000000000000000000000000000000000..08b7359c6415ad791ac2db3547b4cc86df17eb00 GIT binary patch literal 120184 zcmbSS`CCoj_ivtOO`0?)8c-^w)LAQ;B0@;!F(Pw#8&ZlAQ5nim$Q+8KGSpei7(yv? zLQ%?)1{4k7`@`oi_}=sE=brQ2efPa*pMB1H4Qu&h;288VckS6Ni`Hk+ z_jv|>Q9Xo$%5F409f20kGcbPaV04bs#kF1^pf&gqT-@daFGkN5yyGW{!@-a&16R;t 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zv)G0vCCZIgU`oU!(DajKyY5M`cR~`Z)Kr972njF;e>!uTN0DFIkI7W)|2NTuy9;Zu jB%~DkZSrADo-~D(DJUT3^oiOiK=d1$u7%(f*BAUBvI1uw literal 0 HcmV?d00001 From 388013ee2b3b1e5862bdeea0e417b7decf3bf2d7 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Mon, 23 Aug 2021 17:40:29 -0400 Subject: [PATCH 30/73] Used RK4 to train the Lorenz63 model --- .../Lorenz63Train_fitRandomSample_RK4.ipynb | 542 ++++++++++++++++++ .../lorenz63/Lorenz63_fitRandomSample_RK4.mat | Bin 0 -> 120184 bytes torchts/nn/models/ode.py | 91 ++- 3 files changed, 585 insertions(+), 48 deletions(-) create mode 100644 examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb create mode 100644 examples/ode/lorenz63/Lorenz63_fitRandomSample_RK4.mat diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb new file mode 100644 index 00000000..c1196860 --- /dev/null +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb @@ -0,0 +1,542 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3\n", + "\n", + "import time" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", + " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", + " ...,\n", + " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", + " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", + " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T17:16:25.805405\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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0hkvPnTsXi8XCrFmzHMcMw+DBBx8kJiYGPz8/xo4dy7Zt2063ThGRNm9NWhGXPb+aq176kY1Zpfh6ezBzdDLL/zSeP57dTcFDWky76XZZu3Ytzz//PH369Dni+GOPPca8efN45ZVXSE1N5eGHH2bixIns2rWLoKCg0y5YRKSt2ZBVwrxFu/lhbyEAPl4e/H5oPDeP7UKnIF+TqxN30C7CR2VlJb///e954YUXePjhhx3HDcNg/vz53H///Vx00UUAvPrqq0RGRvLmm28yc+ZM51QtItIGbMkpY97iXXy/6yAA3p4WLhscx63juhId4hrN39L+1TbYyCtrWqDOVcZ8nFK3y6233sqUKVOYMGHCEcfT09PJz89n0qRJjmNWq5UxY8awcuXKXz1XXV0d5eXlRzxERNqynfnl3PjaOqYu+IHvdx3E08PCpYNi+e7usTx8QW8FD2lVq9OKsNkNokN86RRkNbsc4BRaPt5++202bNjA2rVrj3kuPz8fgMjIyCOOR0ZGkpmZ+avnmzt3Lg899FBzyxARcTl7CyqZ/81uPt+Sh2GAxQIX9OvMnWelkBgRYHZ54qaW7W7q7huT2tFldjtuVvjIzs7mzjvvZNGiRfj6Hr+f8ui/nGEYx/0L33fffcyePdvxdXl5OXFxcc0pS0TEVBmFVTz57R4+3pSL3Wg6NqVPNHdNSKFrJ411E3Mt3V0AwOjUjiZX8rNmhY/169dTUFDAwIEDHcdsNhvLli1jwYIF7Nq1C2hqAYmOjna8pqCg4JjWkMOsVitWq2s0A4mINEdOSTX/+XYv72/IwXYodUzqEcldE1M5IzrY5OpEmq7RfQer8PSwMLJrhNnlODQrfJx11lls2bLliGPXXnst3bt3509/+hPJyclERUWxePFi+vfvD0B9fT1Lly7l0UcfdV7VIiImyi+rZcH3e3hnbTYNtqbQMa5bR2ZP7Ebv2BCTqxP52eEul/5xoYT4uc5U7maFj6CgIHr16nXEsYCAAMLDwx3HZ82axZw5c0hJSSElJYU5c+bg7+/P9OnTnVe1iIgJCipqeWbJPt5Yk0V9ox2AM7tGcNfEVAYmdDC5OpFjuWKXC7TACqf33HMPNTU13HLLLZSUlDB06FAWLVqkNT5EpM0qrqrnuaX7eHVVBrUNTaFjSGIYsyelMiw53OTqRH5dg83Oir1FQNNgU1diMQzDMLuIXyovLyckJISysjKCg9VnKiLmKatu4IXlaSxckU5VvQ2AfnGh3D0plTO7RrjMzAGRX/NjejGXPreKsAAf1t0/AQ+Plr1em3P/1t4uIiJHqahtYOGKDF5YnkZFbSMAPWOCuXtSKuO6dVLokDbhcJfLqJSIFg8ezaXwISJySHV9I6+uzOS5ZfsorW4AoFtkEHdNTOXsnpEKHdKmLN3dtLLu6BTX6nIBhQ8REWobbLy+OpNnl+6jsLIegOSOAcyakMp5vaNd7rdGkRMprKxja27TiuGjUl1niu1hCh8i4rbqGm28szabp77fy4HyOqBp4607z0rh/H4xeHme1sbfIqZZvqep1aNnTLBLbl6o8CEibqfBZuf99Tks+G4vuaU1AHQO9eP28V2ZNjAWb4UOaeOWHtrM0NWm2B6m8CEibqPRZueTTft54ts9ji3GI4Ot3DauK5cOjsPq5WlyhSKnz243WLbn5/1cXJHCh4i0e402O5/+tJ//fLeX9MIqACICfbh5bFd+PzQeX2+FDmk/tu0vp7iqnkCrFwPiXXPxO4UPEWm3Drd0LPj+59DRwd+bmWO6cPXwBPx99CNQ2p/DU2xHdAnHx8s1uxD1nSci7U6jzc7Hm/az4Ls9ZBQ1da908PfmxtFduGp4AoFW/eiT9ssxxdZFu1xA4UNE2pHDoeM/3+0h81DoCAvw4YZRyVw9PIEAhQ5p58prG9iQVQq47ngPUPgQkXag0Wbno425LPh+7xGh48bRyVw1TKFD3MfKvYXY7AbJHQOIC/M3u5zj0nekiLRZDYdDx3d7HbNXwgJ8mDk6mSsVOsQNufKqpr+k70wRaXMabHY+2pDLf77fQ3Zx0zod4QE+zBzTFDo0kFTckWEYLNt9aIptN4UPERGnaLDZ+XBDDgu+3+sIHRGBPswc3YXfD4tX6BC3tu9gJbmlNfh4eTAsKdzscn6TvlNFxOU12Ox8sL4pdOSU/Bw6bhrThd8PTcDPR+t0iCw5tKrp0KQwl/+eUPgQEZdV32jngw05PHVE6LBy05hkhQ6Roxwe7+HKs1wOU/gQEZdT12jj/fU5PP39PsfeKwodIsdX22Djx/RiQOFDRKRZauptvL02i+eWppFfXgtAxyArN43pwvQh8QodIsfx/c4C6hrtxIT40rVToNnlnJDCh4iYrrKukTdWZ/LC8jQKK+uBpg3fZo7uwnTtvSJyQu+sywbggv6dsVgsJldzYgofImKaspoGXluZwUsr0imtbgAgtoMfN4/twsUDY7XLrMhJ2F9a4xjvcemgOJOrOTkKHyLS6oqr6lm4Ip1XVmRQUdcIQFJEALeM7cIF/Tvj7emam2GJuKL31+dgGDAsOYzEiACzyzkpCh8i0moKKmp5cXk6r6/OpLreBkBqZCC3juvKeX1i8PRw/eZiEVditxu8s7apy+XywfEmV3PyFD5EpMXtL63h+WVpvPVjFnWNdgB6xgRz+/gUJvWIxEOhQ+SUrNhXSG5pDcG+XpzTK8rsck6awoeItJisomqeWbqP99dn02AzAOgfH8od41MY261jmxgYJ+LKDrd6XNC/c5samK3wISJOt+9gJU9/v4+PN+ViszeFjmHJYdw+PoURXcIVOkScoLiqnkXbDgBw2eC2MdD0MIUPEXGanfnlLPhuL59vycNoyhyMTu3I7eO7MjgxzNziRNqZjzbmUm+z06tzMD1jQswup1kUPkTktK3PLOGZJXv5ZkeB49iEMyK5bXxX+sWFmleYSDtlGAbvHupyuawNDTQ9TOFDRE6JYRgs31PI00v2sjqtaVlniwXO7RXNreO60iMm2OQKRdqvTdml7DpQga+3B7/rG2N2Oc2m8CEizWKzG3y9LZ9nluxjS24ZAN6eFi7s35mZY7rQpaPrL+0s0tYdHmh6bq9oQvy8Ta6m+RQ+ROSk1Dfa+XhTLs8u3UfawSoA/Lw9uWJIPNePSiIm1M/kCkXcQ1VdI//7aT/Q9gaaHqbwISK/qbq+kbd/zOaF5WnklTVt9hbs68U1IxK5ZmQSYQE+Jlco4l4+35xHVb2NpIgAhiS1zYHcCh8i8qvKqht4dVUGC1ekU3Jo35VOQVauH5XE9KEJBFr140PEDG+vzQKa9nFpq9PW9dNDRI5QUF7Liz+k88bqTKoOLYGeEO7PzNFduGhA21rISKS92XOggg1ZpXh6WJg2sLPZ5ZwyhQ8RASCzqIrnlqXx/roc6m1NS6B3jwrilnFdObdXFF7a7E3EdIcHmo7v3olOQb4mV3PqFD5E3Ny2/WU8tzSNzzbv59BipAxK6MAt47owrlunNtusK9Le1Dfa+XBjLgCXt9GBpocpfIi4IcMwWLmviGeX7mP5nkLH8bHdOnLL2K5tdhCbSHv2zY4DFFfVExlsZUxqR7PLOS0KHyJupNFm58ut+Ty3bB9bc8sB8PSwMKV3NDPHJLe5JZpF3Mnbh7pcLh4Y2+a7QRU+RNxATb2N99Y3TZfNLq4BwNfbg8sHx3PdmUnEhfmbXKGI/JackmqW7zkINM1yaesUPkTasZKqel5blcmrqzIorqoHICzAhxnDE7lqeILW6BBpI95fn4NhwIgu4SSEB5hdzmlT+BBph7KLq3nph3TeWZtNTUPTdNm4MD9uGJXMJQPj8PPRdFmRtsJmN3hvXQ7Qdlc0PZrCh0g7sjW3jOeXpfH5ljxsh6au9IwJ5qYxXZis6bIibdIPewvJLa0hxM+bs3tGmV2OUyh8iLRxx5u5MiolgpmjuzCya7imy4q0Ye8eGmh6Qb+YdrPIn8KHSBtV32jns837eXF5OtvzmmaueFjgvD4x3Dg6mV6dNXNFpK0rqqxj0fZ8AC4bHG9yNc6j8CHSxpRVN/DGj5m8ujKDA+V1QNPMlcsGxXH9qGTNXBFpRz7amEuDzaBPbAg9YoLNLsdpFD5E2ojMoioWrsjg3XXZVB/ac6VjkJVrRiQyfUg8HTRzRaRdMQzDsZx6e5he+0sKHyIuzDAM1meW8OLydL7eno9xaPnz7lFBXD8qmal9o7F6tY8+YBE50rI9hewpqMTP25Pf9YsxuxynUvgQcUGNNjtfbzvAC8vT2JRd6jg+JrUjN4xK1iBSETfw1Hd7AbhiSDzBvt4mV+NcCh8iLqSyrpF31mazcEU6OSVNK5H6eHpwYf/OXDcqidTIIJMrFJHW8GN6MT9mFOPj6cGNo5PNLsfpFD5EXMD+0hpeWZnBW2uyqKhrBKCDvzdXDUvgquGJdAyymlyhiLSmBd83tXpMGxhLVIivydU4n8LHIbUNNnbklZNfVkteWS1VdY34W70I8PEkyNebpIgAkjsGtJs51uIatuSU8eIPaXy+OY/GQ4uCJXcM4Lozk5g2IFbXm4gb2pxTyrLdB/H0sHDzmC5ml9Mi3Dp8GIbB4u0H+OSn/Xy/s8Axg+B4PCyQEB5Az5hgRnSJYGTXcOLD/NX3Ls1itxt8u7OAF5ensSa92HF8eHI4149KYly3Tnh46JoScVdPHWr1+F3fGOLD2+fUebcNH9nF1fz5oy1HrAgZEehDfJg/4YFWymoa2FdQSUVdI/WNdgDsBqQXVpFeWMVnm/MA6Bzqx/junZjaN4ZBCR1005Djqqm38cGGHF7+IZ20wioAvDwsnNcnmutHaVEwEYHdByr4etsBAG4Z2z5bPcBNw8fW3DIuf341lXWNWL08uHp4AoMSw8gorOJ/m/fz7Y4DHGoBP6Hc0hr+uzqT/67OJCrYl3N7R3PRgM66kYhDQUUt/12VyeurMympbgAgyNeL6UPjuWZEItEhfiZXKCKu4ulDrR7n9IwipR0PMHe78HGgvJbrX11HZV0j/eND+dclffl2xwFuf3Mj9Ta743V+3p6E+nuTV1Z70ufOL6/l5RXpvLwinb5xoVw5NJ7z+sRoB1E3tSu/gheXp/HJpv2OaysuzI8/jEzi0kFxBFjd7ttPRH5DZlEVn/60H4Bbx3U1uZqW5XY//R78dBv55bV06RjAi1cPYtY7mxxdL/3iQhnRJZzskhq25paRfqhp/FT8lF3KT9ml/OOz7Vw2OI7rzkxulyOW5Uh2u8GyPQd56Yf0I7r0BsSHcsOoZCb1jMJTXXMi8iueXboPu9G0nk/v2Pbdeu5W4SOnpJqvtzVt0LNg+gDmLd7N8j2F+Pt4cv+UM0g/WMVzy9IcW5E7Q3ltIy8sT+eVlRlMGxDLzDFdSIoIcNr5xTVU1zfywYZcFq5IJ+1gU2j1sMA5vaK47sxkBiZ0MLlCEXFleWU1vL8+B4DbxrfvVg9ws/Dx9o/Z2A04s2sEByvqeGNNFhYL/OuSvrz1Y5bjN9VBCR2wGwZZxTUUVtY55b0bbAZvr83mnXXZnNs7mrsmpNC1U/vtz3MXOSXVvLYqk7d/zKK8tml9jkCrF5cOiuPakYna5E1ETsrzy9JosBkMSQpjcGKY2eW0OLcKHz/llAIwpU80r63KAODqYQmszShm+Z5C/Lw9+cOZiXy5Jd8xG8HZDAM+35zHl1vyuHhgLHdOSKVzqAYctiWGYbAus4SXf0jn6235jsHJieH+XDMikYsHxRGo8RwicpIKK+t468csAG5r52M9DvNozoufeeYZ+vTpQ3BwMMHBwQwfPpwvv/zS8bxhGDz44IPExMTg5+fH2LFj2bZtm9OLPlWHm8ND/bz5bmcBAP3jO/DKygwA7p6UyhtrskgrrCLEz5vYDi0XCuwGvLsuh3GPL+Efn22npKq+xd5LnKOu0cYH63OYuuAHLnl2FV9uzXe0pL00YxDf3T2Wa0YmKXiISLO8/EM6tQ12+sSGMColwuxyWkWzfkrGxsbyz3/+k65dm5LZq6++yvnnn8/GjRvp2bMnjz32GPPmzeOVV14hNTWVhx9+mIkTJ7Jr1y6CgsztYrDZDXJLm/bKqK63YTegS8cA1mYUYxgwpXc0b/2YRWl1AymdArF6e7A1t7zF66q32Xnph3Q+2JDD3RNTuWJIPF6ezcqE0sKauugyeX11lqMbzurlwUUDOnPNiCS6Ran7TEROTVlNA/9dlQk0zXBxl0UrmxU+pk6desTXjzzyCM888wyrV6+mR48ezJ8/n/vvv5+LLroIaAonkZGRvPnmm8ycOdN5VZ8CD0vT4/BCYQCJ4QEs2t60mIuvtyf7DlYR6u9NkK8XG7JK8fSwOHXw6W8prW7gr59s4401WTwwtSfDu4S3yvvK8W3NLePlFel89lOeY6psVLAvVw1P4Ioh8YQF+JhcoYi0da+tzKCirpHUyEAmnhFpdjmt5pTbh202G++99x5VVVUMHz6c9PR08vPzmTRpkuM1VquVMWPGsHLlyuOGj7q6Ourqfh7UWV7eMq0NFosFfx8vKusayS6pBsDL08LBijosFhzH4jr4O4JHgI+nYxBha9mZX8EVL6xmat8YHpjag4hAbSjWmhptdhZvP8DCFRn8mPHz0uf940O5dmQSk3tF4a2WKRFxgqq6Rl5ekQ40tXq40wrZzQ4fW7ZsYfjw4dTW1hIYGMhHH31Ejx49WLlyJQCRkUcmt8jISDIzM497vrlz5/LQQw81t4xTEmhtCh91DU2/xR7uhgnx82ZHXlPoyS9vWlTM08PS6sHjl/73036W7T7I/VPO4JKBsW7TFGeWspoG3lmbxasrMx3XhZeHhSl9orl2ZBL94kLNLVBE2p23fsyipLqBhHB/pvSONrucVtXs8NGtWzc2bdpEaWkpH3zwATNmzGDp0qWO54++SRqG8Zs3zvvuu4/Zs2c7vi4vLycuLq65ZZ2Urp0CyS+vdbRy5B9avbS63ubYv6XoUJ/+4a/NVFbTwD3vb+bjjbnMvag3CeFaH8TZ9h2s5JUVGXywIcexsWAHf29+PzSBK4claGE4EWkRtQ02nl+WBsDNY7q43Vi/ZocPHx8fx4DTQYMGsXbtWp544gn+9Kc/AZCfn0909M8JrqCg4JjWkF+yWq1Yra3TtdCrcwg/7C3kQHlTwKg41LLxy6DRSkM8mmXlviLOmb+c+6ecwe+HxqsV5DQZhsGyPYUsXJHOkl0HHce7RwVx7chEzu/XWVvZi0iLen99DgUVdUSH+HLRgFizy2l1pz0n0DAM6urqSEpKIioqisWLF9O/f38A6uvrWbp0KY8++uhpF+oMvToHA2A3mhJGnQu0bpysmgYbf/l4K9/sOMBj0/rQKVi/kTdXdX0jHx5ahXTfoWnXFguc1T2SP4xMZHiXcAU7EWlxDTY7zy7dB8CNo5Px8XKvVg9oZvj485//zOTJk4mLi6OiooK3336bJUuW8NVXX2GxWJg1axZz5swhJSWFlJQU5syZg7+/P9OnT2+p+pvl8KpxxW14TY0luw4yaf4y5l7Ym8lu1kd4qnJLa3htZQZvHbUK6SWDYrlmRKK6s0SkVX26aT85JTWEB/hw+eB4s8sxRbPCx4EDB7jqqqvIy8sjJCSEPn368NVXXzFx4kQA7rnnHmpqarjlllsoKSlh6NChLFq0yPQ1Pg6LDPZlQHwoG7JKzS7ltJRWN3DzGxuYMTyBP085A6uXugiOdngV0oUr0vl62wHHlOmEw6uQDowlyNfb5CpFxN3Y7QZPL9kLwHWjktx213OLYRguNcqhvLyckJAQysrKCA4Odvr5X1iWxiNf7HD6ec3Sq3MwT00foN/eD6lrtPH55jwWrshgS26Z4/jIruFcOyKJcd07aVdZETHNF1vyuOWNDQT7erHi3vHt6peg5ty/3W4d6HN6RbWr8LE1t5zznvyBxy/pyzm9oswuxzSFlXW8sTqL/67OPGIV0gv7d+aakYl0j3J+kBURaQ7DMHjq+6ZWj2tGJLar4NFcbhc+4sL8GZUS4djB1vnn92NSjyiiQ3ypt9nJKanh4425jmmcLaGirpGbXl/PnWelcOdZKW61UM3W3DIWrsjgfz/td6xCGhls5erhiVqFVERcypJdB9m2vxx/H0+uHZlkdjmmcrvwAU2JsyXCx/junXjmygHHjMGYc2FvSqvrWbz9AH//33Yq6lpm8bInvt3Djrxy5l3Wr11vbmazGyzefoCXV6TzY/rPq5D2iwvl2pGJnNs7WquQiohLMQyDBYdaPX4/NJ4Obv6LUfu9Q/2Gcd06kRDuT2ZRtVPPe8dZKccd/Bnq78Mlg+K4ZFAcO/PLeeyrXY6ddZ1p0fYDXPjUCl6+ZjBxYf5OP7+ZyqobeGfdsauQnts7mmtHJtI/voPJFYqI/LrVacWszyzBx8uDG0Ylm12O6dwyfHh4WJgxPJG/f7bdqeeNCT25tTe6RwXz8jWDySyq4t4PtrAqrcipdewpqOSiZ1by8ozB9I4Nceq5zbC3oJJXVqbzwfpcahp+XoV0+tB4rhqWqFVIRcSlGYbB/G92A3DpoFit04Sbhg+A6UPjeW7ZPsdqp85QUF5Hp6CTv6gSwgN468ZhbNtfxpQnf3BaHdC0Dfxlz6/iqekDGNe9k1PP3RrsdoOluw/y8or0I7rItAqpiLQ1i7YfYE16MVYvD24e29XsclyC23aM+3p7csdZKU4959pf7ILaHD1jQtg351z+7+xuTq2nut7G9a+t49112U49b0uqrGvk1ZUZTJi3lGtfWcvyPYVYLDCxRyRv3jCUL+8cxWWD4xU8RKRNqG+0M/fQDMsbRiXTOdTP5Ipcg9u2fABcOiiO55elOW3sx6c/7T/lEcyeHhZuHdeVKb2jGfuvJU6pB5oGZ97z/mZq6m3MGJHotPM6W1ZRNa+uyuDdtdmOAblBvl5cNiiOq4cnEh/evsaviIh7eG1VBhlF1XQMsnLT2C5ml+My3Dp8eHt6cPekbtzx1kannG9jVikbs0pOa+BjYkQAux4+h9ve3Mji7QecUhfAA59uo7rexs0udPEbhsGqfUW8vCKDb3ce4PByd8kRAVwzMpFpA2IJaMezdkSkfSuuqueJb/cA8MdJqe16FmJzuf0nMbVPNG+uyWR12ql1mRztsa928eYNQ09rgzKrlycvXD2It3/M4t4PtzilLoBHv9pJXaONWRNSnXbOU1HbYOPjjbm8sjKDnfkVjuOjUzty7chExqR0dKu1SkSkfXrim91U1DZyRnQwFw+MM7scl+L24cNisfDwBb2Z/MQyGmynv9L8qrQiPv1pP+f363za57p8SDxJEQFc9vzq0z7XYfO/2YOvtyc3jWn9FpC8shpeW5XJWz9mUVrdAIC/jyfTBsQyY0QiXTsFtnpNIiItYW9BBa+vyQLgr1PO0LYOR3H78AHQtVMgN4/pwpPf7XXK+R78dBvDksOJdMJ0qqHJ4Xx2+5mc9x/nzYb555c78fP2bJUxIIZhsCGrhJdXZPDV1nzHBm+xHfyYMTyRSwfHEeLnvksMi0j7NOeLndjsBhPOiGRE1wizy3E5brex3PHUNtg4Z/4yMpw0+HRoUhhvXD8ULyettJl2sJLx/2+pU8512L8u6cvFA2Odes7DjrfB27DkMK4ZkcTEHpH6TUBE2qXlew5y1Us/4uVhYdFdo0nu6B6tus25f7vtVNuj+Xp7Mu+yfk67Ia5JL+aBT7fhrGyX3DGQz24/0ynnOuzeDzbzg5OXmT9YUcf8b3Yz8p/fM/vdn9iSW4aPlweXDorliztG8faNwzmnV5SCh4i0S402Ow9/1jS19qrhCW4TPJpL3S6/MCC+A7eN6+oYnXy63liTRUyoH7eOc86iMr06h/D6dUO58qU1Tjlfo93g5tfX897Nw09719ctOWUsXJnOZz/lHbHB21XDErhiSDzhgVZnlCwi4tLeXZfDrgMVhPh5c6eT15JqTxQ+jnL7+K4s3X2QTdmlTjnf41/vwurlwfVOWsv/zJQI/nF+T/76yTannK+irpE/LFzLp7efSUQzA0Kjzc7X2w6wcEU66zJLHMf7x4dy7cgkJveK0gZvIuI2KmobmLd4FwCzJqQQ6u/em8f9FoWPo3h5ejD/sn5MeXI5VfU2p5zz4c93UF1v4/bxXU9rCu5hVw5L4LPNeaxJd8704P1ltdz+5kb+e92QkxqjUlJVz9trs/nvqgz2l9UCTRu8TekTzbUjk+gXF+qUukRE2pKnvt9HYWU9yREBXDkswexyXJoGnB7HV1vzuOn1DU495+WD4/j7+b3w8Tr91oCSqnr6/2OxE6r62czRydx37hnHfX5XfgWvrEzno4251DY0da2EB/jw+6Hx/H5YglNm94iItEXZxdWc9f+WUm+z8+LVg5jQI9Lsklpdc+7favk4jnN6RXPL2C48vWSf08759tps0g5W8eQV/U97J9YOAT48fnEf/u/9zU6qDp5blsbAhA5M6hnlOGa3G3y3s4CFK9NZsffn3Xd7RAdz7chEpvaN0T4rIuL2/vnVTuptdkZ2DeesM9reZp6tTS0fv8FmN7hm4Y9H7KrqDGEBPjw2rc9pJ2Ob3WDII99QVFXvpMqaavt61mh8vT14d10Or63KcOx942GBST2iuHZkIkOSwpzShSQi0tatyyjm4mdXYbHA57ePokeMufcuszTn/q3wcQIlVfWc/9QKsoqds/7HL13YvzN/Pa8HYQGnPijps837ue1N5+xN80sBPp6OMS/Bvl5cMSSeK4clEBemDd5ERA6z2w0ufGYlP2WXcvngOP45rY/ZJZlG3S5O1CHAh4XXDmbaMysdS4I7y0cbc/l2xwHunJDKVcMSTmksyKQeUSd+0SmoqrfRtVMg14xI5KIBnfH30aUiInK0T3/az0/ZpQT4eDJ7krn7ZrUlmgd5Erp0DOSlGYOwOmGg6NHKaxv5x2fbGfevJby+OpPahubNsPHx8mBSCw1sev+m4Vw5LEHBQ0TkV9TU23j0q50A3DKuK52CNOj+ZCl8nKSBCWE8cXk/nD3MITHcn4hAH3JLa/jLx1sZPvdb5n65g90HKk78hw9pqQ3Z/t+i3S1yXhGR9uDF5WnkldXSOdSP685MMrucNkXhoxnO6RXNQ7/r6dRzZhRVU1hZz6QekXQO9aOkuoHnlqYx6d/LOGf+Mh79aicr9xZSVdd43HN4tdBS5a+vyWxWCBIRcRcHymt5ZmnTbMg/Te6uWX/NpPb0Zrp6eCK1DTbmfLHTqeddtP0AQ5PCmD40no1ZJSzdfZCd+RXszK/gmSX7sFiaun+SIgKI7eBHRKCVAB9PvL08nLYb79EMA+Z/s5unfz+wRc4vItJW/evrXVTX2+gfH8rUPtFml9PmKHycghtHd6G+0c6/nNwtsSa9mDXpxQyID+Wxi/tgs8OKvYWs2ldEfnktewsq2VtQ6dT3PB4PC9gN+GJLPtv2l9EzJqRV3ldExNVtzS3j/Q05APz1vB5aduAUKHycotvGp1DfaG+RVocNWaVsyCoF4JoRiTx8QS9iQv04UFFLTnE1OSU17D5Qwfe7Djr9vQ+zGxAV7Et+eS0vLk/n35f1a7H3EhFpKwzD4OHPt2MY8Lu+MQyI72B2SW2SwsdpuGtiKl6eHsxb3HIDM19ZmcErKzMcX0cE+tBgMyirce6031/j59PUh/n55jzun3JGszeeExFpbxZtP8DqtGKsXh78aXJ3s8tpszTg9DRYLBbuOCuFv5/v3EGov6Wwsr7Fg0egtSmTFpTX0j0qiHqbnffW5bToe4qIuLr6Rjtzv9gBwPWjkugc6mdyRW2XwocTXD08kScu79dis05aW6PdTkSgD1X1NuIPrWj6+Zb9JlclImKu11ZlkFFUTccgKzeP7Wp2OW2awoeTnN+vMy9cPQh/n7Y73crDAkG+XtQ22B2JPsDqhYcFtuaWk1Pi/CXmRUTagpKqep78dg8Af5yU6mghllOj8OFE47p34v2bRhBzmjvWtrbD30SHB5kCjvEdWcXVDEoMA2BJCw5wFRFxZY98sYPy2ka6RwVx8cA4s8tp8xQ+nKxHTDAf3zaSvnGhZpdyQsG+TaEjLMDH0WUUHujjOAawI6+coUlN4WNTdmnrFykiYrJluw/y/vocLBZ45MJeeLaTLnYzKXy0gE5Bvrxz4zDO7xdjdinH8PSwOLqGIg+1ckQGW2m0G0cciwhqavmoPrTBHMBPCh8i4maq6hq578MtAMwYnsjAhDCTK2ofFD5aiK+3J/Mv68c/LuiFj6frfMxRwb5U19vw9fZwTKWNOTS+w9/HE79DSwT7eXsScOj5ED9vALJLqjEMw4SqRUTM8fjXu8gtrSG2gx//d3Y3s8tpN1znrtgOWSwWrhqWwPs3Dye2g/lTsqJDfCmsrANgbGonNueUYbFAB/+mLpZ+caHsL6sFmlpDDjvcGlLbYKfiN/aYERFpT9ZlFPPqqgwA5l7UmwANMnUahY9W0Cc2lM9vH8W5vaNMqyHQ6sXBijrqGu0MTOhAWmHTMu1TekezLrMYgLHdOrIzrxyA+LAA6hrtAIT6eztabypqFT5EpP2rbbDxpw82YxhwycBYRqV0NLukdkXho5WE+Hvz1PQBPHF5P0c3RmuqrGuk0W4wKKEDdY02dh+oJDzAh35xoWzNLcfHy4MzooMpqKjD38eT8EAfGu0GPl4edAy0Um9rCiKu1IUkItJS/vPdHvYdrKJjkJW/TOlhdjntju4krchisXB+v84sums0Y7u1booO8vWiX1woGUXVbM0tJ9DqxexJqfzn0N40t47tykcbcgEY160TOw61gHTtGEh1g81xnra8jomIyMnYtr+MZ5emAfCP83sR4t/6vzC2dwofJogM9mXhNYN54vJ+dAxq+f1SfLw8sNsNNmWXUlhZR1JEALMmpPDvxbspq2mgX1wog5M68PGmpvBx05gufLklH2jqijm8k25ksFV9niLSrjXa7Nzz/mZsdoNze0dxTi/zusvbM91JTHK4FWRc9078e/FuXl2Zgb2FJpLUN9qppyk8nNm1I7WNNh75YgeGAWdEB/PwBb244bV12A24sH9nAqyeLN5xAIDz+sSwcl8hAKmRQS1ToIiIi3h+eRrb9pcT4ufNg79rvX273I3Ch8mCfb15YGpPLhkYxz+/2smy3c5dRdTH04PwQB/HOJMPNvy8Qdylg2I5v19nbnhtHXlltSRHBPDQ+T25462N2OwG47t3okdMMH/7ZCsAZ3Xv5NTaRERcyb6Dlcz/pmkJ9b+d14NOQW1rteq2ROHDRfSICea1Pwxh5b5CHvtql9NWE6232ckrqyXv0BRaTw8L47p15IL+nVm1r4irXlqD3YCunQJ54/qhvLg8nSW7DuLj5cGfzulOYWUd67NKADinV7RTahIRcTV2u8G9H2ymvtHO6NSOXDSgs9kltWsKHy5mRJcIProlnG93FPDs0n2syyw5pfN4e1rw8/YkItCKv9WTqGBf/H28iArxZVNWKXe8tdHRzXPRgM78ZUoPnl26j+eXNQ2y+vvvetItqqmb5dvZY1iXWUJUG9uzRkTkZL2xJpO1GSX4+3gy58JeWCxaQr0lKXy4IIvFwoQekUzoEcn6zBKeX7aPRdsP0JzFRRtsBg22RirrGrEbTbvSHm10akduGdsFb08Prn55jeM1907uzuVD4h2vS+4YSHLHwNP+e4mIuKKckmr++eVOAP50TndiO/ibXFH7p/Dh4gYmdOC5qwaxv7SGD9bn8N76HLKKf31re19vD4J9vSmtaaD+0AJhh1s3PD0sJIb7kxoZxLDkcM6IDmbXgQr+9fUuR+tKsK8X/7igF+f3U3OjiLgHwzC4/6OtVNXbGJTQgauGJZhdkluwGC62WUd5eTkhISGUlZURHBxsdjkux243WJdZwqJt+SzecYDMomODSAd/b6JD/Ai0euHr40mnICueFgvVDTYOlNeyr6CSoqp6x+t9PD24oH8Mf5zUjU7B6loREffx4YYcZr/7Ez5eHnx55yi6qJX3lDXn/q2WjzbGw8PCkKQwhiSFcf+UM9hbUMnq9GLWZxSzLrOEnJIaSqobKKlu+O3zWJpaVcZ3j2TagM4KHSLidg5W1PH3z7YDcOdZKQoerUjhow2zWCykRAaREhnkaCqsqmsks6iajKIqiirrqKyzUV3fiI+nB/5WL8ICvEnpFERyxwD8ffTPLyLu68FPt1Fa3UDPmGBuHJ1sdjluRXefdibA6kWPmGB6xKjLSkTkeL7ams/nW/Lw9LDw6LQ+eGvfqlalT1tERNxKWXUDfz20eOLM0cn06hxickXuR+FDRETcyiNfbOdgRR3JHQO446wUs8txSwofIiLiNn7YU8i763KwWOCxaX3w9dZO3WZQ+BAREbdQXd/IvR9uBuDqYQkMSgwzuSL3pfAhIiJu4V9f7yanpIbOoX783zndzS7HrSl8iIhIu7c+s4SFK9MBmHNRbwKtmuxpJoUPERFp12obbPzpg80YBkwbEMuY1I5ml+T2FD5ERKRd++eXO9lbUElEoA9/Pe8Ms8sRmhk+5s6dy+DBgwkKCqJTp05ccMEF7Nq164jXGIbBgw8+SExMDH5+fowdO5Zt27Y5tWgREZGT8fW2fF5ZmQHA45f0JdTfx9yCBGhm+Fi6dCm33norq1evZvHixTQ2NjJp0iSqqqocr3nssceYN28eCxYsYO3atURFRTFx4kQqKiqcXryIiMjx5JbWcM/7TbNbbhydzLhunUyuSA47rV1tDx48SKdOnVi6dCmjR4/GMAxiYmKYNWsWf/rTnwCoq6sjMjKSRx99lJkzZ57wnNrVVkRETleDzc7lz69mfWYJfeNCeW/mcHy8NNKgJTXn/n1a/xJlZWUAhIU1zZVOT08nPz+fSZMmOV5jtVoZM2YMK1eu/NVz1NXVUV5efsRDRETkdPx78W7WZ5YQZPXiP5f3V/BwMaf8r2EYBrNnz+bMM8+kV69eAOTn5wMQGRl5xGsjIyMdzx1t7ty5hISEOB5xcXGnWpKIiAjL9xzkmaX7APjntD7Eh/ubXJEc7ZTDx2233cbmzZt56623jnnOYrEc8bVhGMccO+y+++6jrKzM8cjOzj7VkkRExM0VVNRy1zubMAyYPjSeKX2izS5JfsUprbJy++238+mnn7Js2TJiY2Mdx6OiooCmFpDo6J//wQsKCo5pDTnMarVitVpPpQwREREHu91g9js/UVhZT/eoIP52Xg+zS5LjaFbLh2EY3HbbbXz44Yd89913JCUlHfF8UlISUVFRLF682HGsvr6epUuXMmLECOdULCIi8iueWbqPH/YW4uftyYLp/bVpnAtrVsvHrbfeyptvvsknn3xCUFCQYxxHSEgIfn5+WCwWZs2axZw5c0hJSSElJYU5c+bg7+/P9OnTW+QvICIisi6jmHmLdwPw0Pk96dopyOSK5Lc0K3w888wzAIwdO/aI4wsXLuSaa64B4J577qGmpoZbbrmFkpIShg4dyqJFiwgK0oUgIiLOV1pdzx1vbcRmN7igXwyXDIw98R8SU53WOh8tQet8iIjIyTIMg5n/Xc+i7QdIDPfnsztGadM4k7TaOh8iIiJmenVlBou2H8DH04MF0wcoeLQRCh8iItImbc0tY84XOwG479zu9OocYnJFcrIUPkREpM2prGvk9rc2Um+zM7FHJNeMSDS7JGkGhQ8REWlTDMPgrx9vJb2wipgQXx6/uM9xF7IU16TwISIibcr763P4aGMunh4WnryiP6H+PmaXJM2k8CEiIm3G3oIK/vbJNgDumpDCoMQwkyuSU6HwISIibUJtg43b3txITYONkV3DuXlsV7NLklOk8CEiIm3Cw59vZ2d+BRGBPvz7sn54emicR1ul8CEiIi7vyy15vL46C4B5l/ajU5CvyRXJ6VD4EBERl5ZdXM09H2wG4OaxXRid2tHkiuR0KXyIiIjLarDZuf2tjVTUNjIgPpTZE1PNLkmcQOFDRERc1iOf72BTdinBvl48eUV/vD1122oP9K8oIiIu6c01WbyyMgOAxy/pS2wHf3MLEqdR+BAREZezcl8hf/tkKwB3T0zl7J5RJlckzqTwISIiLiWjsIpb3thAo93gd31juG281vNobxQ+RETEZZTXNnD9a+sorW6gb2wIj2nflnZJ4UNERFxCo83ObW9uZG9BJVHBvrxw9SB8vT3NLktagMKHiIi4hEe+2MGy3Qfx9fbgxRmD6BSshcTaK4UPEREx3Vs/ZrFwRQYA/760H706h5hbkLQohQ8RETHVqn1F/PXjppktsyemMrl3tMkVSUtT+BAREdNkFlVx8xvrabQbTO0bw+2a2eIWFD5ERMQU5bUNXPfqzzNbHtfMFreh8CEiIq2u0Wbn9l/MbHleM1vcisKHiIi0ujlf7GTpL2a2RGpmi1tR+BARkVb11o9ZvLwiHYB5mtnilhQ+RESk1fxyZstdE1I5VzNb3JLCh4iItIpfzmw5r080d5ylmS3uSuFDRERa3NEzW/51SV/NbHFjCh8iItKiNLNFjqbwISIiLeqXM1teuFozW0ThQ0REWtDbv5jZ8v8u6UfvWM1sEYUPERFpIavTivjLL2a2TOmjmS3SROFDREScbvv+cm58bZ1mtsivUvgQERGnSi+s4uqX11Be28jAhA48frFmtsiRFD5ERMRp9pfWcOWLayisrKdHdDAvXzMYPx/NbJEjKXyIiIhTFFbWceVLa8gtrSE5IoDXrhtCiJ+32WWJC1L4EBGR01ZW08DVL/1I2sEqYkJ8+e/1Q4kItJpdlrgohQ8RETktNfU2rntlLdvzygkP8OH164fSOdTP7LLEhSl8iIjIKatvtDPz9fWsyywhyNeL164bQnLHQLPLEhen8CEiIqfEZjeY9c5Glu0+iJ+3JwuvGUzPGC0iJiem8CEiIs1mGAb3fbiZL7bk4+1p4bmrBjIoMczssqSNUPgQEZFmMQyDhz/fwbvrcvCwwJOX92d0akezy5I2ROFDRESa5T/f7eWlH5r2a3l0Wh8m99ay6dI8Ch8iInLSFq5IZ97i3QD87bweXDIozuSKpC1S+BARkZPy/vocHvrfdqBpo7g/nJlkckXSVil8iIjICX21NY973v8JgOvOTNJGcXJaFD5EROQ3Ld9zkDve2oTdgEsHxfKXKWdoozg5LQofIiJyXOszS7jxtfXU2+yc2zuKuRf1UfCQ06bwISIiv2r7/nKuXfgjNQ02Rqd25N+X9cPTQ8FDTp/Ch4iIHCPtYCVXv7yG8tpGBiV04NkrB2D18jS7LGknFD5EROQIu/IruOz51RRW1tMjOpiXrhmMv4+X2WVJO6KrSUREHDbnlHL1yz9SWt1A96ggXrtuCCF+3maXJe2MwoeIiACwNqOYaxeupbKukb5xobx67WBC/X3MLkvaIYUPERFh+Z6D3PDaOmob7AxLDuPFGYMJtOoWIS1DV5aIiJv7els+t7+5kXqbnbHdOvLslQPx9dbgUmk5Ch8iIm7s44253P3eT9jsBuf2jmL+Zf3x8dJcBGlZCh8iIm7qjTWZ/OXjrRgGTBsQy6PTeuPlqeAhLU/hQ0TEDT2/bB9zvtgJwNXDE3hwak88tICYtBKFDxERN2IYBv/+Zg9PfrsHgJvHduGes7tpyXRpVc1uX1u2bBlTp04lJiYGi8XCxx9/fMTzhmHw4IMPEhMTg5+fH2PHjmXbtm3OqldERE6RYRg8/PkOR/D4v7O78adzuit4SKtrdvioqqqib9++LFiw4Feff+yxx5g3bx4LFixg7dq1REVFMXHiRCoqKk67WBEROTU2u8GfP9rCSz+kA/Dg1B7cOq6ryVWJu2p2t8vkyZOZPHnyrz5nGAbz58/n/vvv56KLLgLg1VdfJTIykjfffJOZM2eeXrUiItJsDTY7f3zvJz7ZtB8PC/xzWh8uHRRndlnixpw6rDk9PZ38/HwmTZrkOGa1WhkzZgwrV6781T9TV1dHeXn5EQ8REXGO2gYbt7yxgU827cfLw8J/rhig4CGmc2r4yM/PByAyMvKI45GRkY7njjZ37lxCQkIcj7g4fVOIiDhDdX0j17+6jsXbD+Dj5cHzVw9kSp9os8sSaZldbY8evGQYxnEHNN13332UlZU5HtnZ2S1RkoiIWymvbeDql37kh72F+Pt48sq1gxnfPfLEf1CkFTh1qm1UVBTQ1AISHf1zui4oKDimNeQwq9WK1Wp1ZhkiIm4tu7ia619dx64DFQT7evHKH4YwIL6D2WWJODi15SMpKYmoqCgWL17sOFZfX8/SpUsZMWKEM99KRER+xfrMEi58egW7DlTQKcjK2zcOV/AQl9Pslo/Kykr27t3r+Do9PZ1NmzYRFhZGfHw8s2bNYs6cOaSkpJCSksKcOXPw9/dn+vTpTi1cRESO9MmmXP7v/c3UN9rpER3MS9cMIjrEz+yyRI7R7PCxbt06xo0b5/h69uzZAMyYMYNXXnmFe+65h5qaGm655RZKSkoYOnQoixYtIigoyHlVi4iIg2EYzP9mD08cWjxswhmRPHF5PwKsWsRaXJPFMAzD7CJ+qby8nJCQEMrKyggODja7HBERl1bbYOP/3t/M/37aD8DM0cncc053PLVPi7Sy5ty/FYtFRNqogxV13PjfdWzMKsXLw8IjF/bissHxZpclckIKHyIibdDO/HKue2UduaU1hPh588yVAxjRJcLsskROisKHiEgb8/3OAm57cwNV9TaSIgJ4acYgkjsGml2WyElT+BARaSMMw+CVlRn847Pt2A0YlhzGs1cOJNTfx+zSRJpF4UNEpA1osNl58NNtvLEmC4BLB8Xy8AW98fFqkYWqRVqUwoeIiIsrq2ngtjc3sHxPIRYL3De5OzeMSj7uthUirk7hQ0TEhWUWVfGHV9ay72AVft6ezL+8H2f3jDK7LJHTovAhIuKiVqcVcfPr6ympbiAq2JcXZwyiV+cQs8sSOW0KHyIiLsZuN3hm6T7+36Jd2A3o3TmEF2cMIjLY1+zSRJxC4UNExIUUV9Vz1zubWLr7IAAX9IthzkW98ffRj2tpP3Q1i4i4iLUZxdz+5kbyy2uxennw9/N7cumgOA0slXZH4UNExGR2u8Fzy9L416Jd2OwGyREBPPX7AZwRrf2tpH1S+BARMVFxVT13v7uJ73c1dbOc3y+GRy7sTaB2pJV2TFe3iIhJ1mUUc/tbG8krq8XHy4OHfteTywerm0XaP4UPEZFWZrcbvLA8jce+/rmbZcH0AfSIUTeLuAeFDxGRVlRSVc/d7/3EdzsLAJjaN4a5F6mbRdyLrnYRkVayPrOE29/cwP5D3SwPTu3JFUPUzSLuR+FDRKSFGYbBi8vTefSrnTTaDZIiAlgwvT89Y7RaqbgnhQ8RkRaUV1bDvR9scSwadl6faOZe1JsgX2+TKxMxj8KHiEgLMAyD99bn8I/PtlNR24iPlwd/O68Hvx8ar24WcXsKHyIiTpZfVst9H252rN3RLy6Uf13Sh66dgkyuTMQ1KHyIiDiJYRh8sCGXh/63ram1w9OD2ZNSuf7MJLw8PcwuT8RlKHyIiDjBgfJa/vzhFr49NIW2b2wI/7qkLymRau0QOZrCh4jIaTAMg4825vLgp9soP9TaMWtiCjeOSlZrh8hxKHyIiJyigvJa/vzRVr7ZcQCA3p2bWju6Ram1Q+S3KHyIiDSTYRh8smk/D3y6jbKaBrw9LcyakMrM0WrtEDkZCh8iIs1QUF7LXz7eyqLtTa0dvToH869L+tI9SvuyiJwshQ8RkZPQYLPzyooM5n+zm6p6G96eFu4Yn8JNY7vgrdYOkWZR+BAROYEVewt54NNt7C2oBJrW7Zh7UW/OiFZrh8ipUPgQETmO/aU1PPL5Dj7fkgdAWIAP957TnYsHxuLhoVVKRU6VwoeIyFHqGm289EM6//l2LzUNNjwscNWwBGZP7EaIv/ZkETldCh8iIr+wdPdBHvx0G+mFVQAMTuzAQ7/rRY8YdbGIOIvCh4gIkF1czT8+2+6YxRIRaOXP53bnwv6dtRGciJMpfIiIW6upt/H8sjSeXrKXukY7nh4WrhmRyKwJKdr2XqSFKHyIiFtqsNl5e202T367h4MVdQAMSw7j7+f3IlX7sYi0KIUPEXErdrvB/zbvZ97i3WQWVQMQ28GPe87pztQ+0epiEWkFCh8i4hYMw2DJroM89vUuduSVA03jOu44qyuXD47Hx0sLhYm0FoUPEWn31mUU89hXu/gxoxiAIKsXM8ckc+3IJAKs+jEo0tr0XSci7daOvHL+9fUuvt1ZAIDVy4MZIxK5eUwXOgT4mFydiPtS+BCRdmdnfjlPf7+P/23ej2GAp4eFSwfFcsdZKUSH+JldnojbU/gQkXZjfWYxT3+/z9HSATClTzR3T0wluWOgiZWJyC8pfIhIm2YYBkt2H+SZ7/c5xnRYLHBur2huHtuFXp1DTK5QRI6m8CEibZLNbvDFljyeWbKP7Ydmr3h7Wpg2IJaZY7qQFBFgcoUicjwKHyLSptQ22PhwQy7PLdvnWKfD38eT6UPiuX5UMlEhviZXKCInovAhIm1CdnE1b6zJ4p21WZRUNwDQwd+ba0YkcfXwBM1eEWlDFD5ExGXZ7QY/7C3ktVWZfLfzAHaj6XjnUD/+cGYSVwyJw99HP8ZE2hp914qIyymvbeD9dTm8vjqTtENb2wOc2TWCq4cncNYZkXh6aBl0kbZK4UNEXIJhGGzKLuW99Tl8vDGX6nob0LQa6bSBsVw1PIEumi4r0i4ofIiIqfLLavlwYw4frM9h38GfWzlSIwO5engiF/bvrCXQRdoZfUeLSKurbbDx9bZ83l+fw4q9hY6xHL7eHkzuFc2lg+IYlhymHWZF2imFDxFpFQ02Oyv3FfHF5jy+2JJHRV2j47khiWFcPDCWyb2jCPL1NrFKEWkNCh8i0mJ+GTi+3p5P6aEpsgCxHfy4aEAs0wZ0JiFcC4KJuBOFDxFxqtoGG6v2FfHl1jwWbT9wROCICPTh7J5RnNcnhqFJYXhoxoqIW1L4EJHTll9Wy3c7C/hu5wF+2FtIbYPd8dzhwDGlTzRDk8I1RVZEFD5EpPnqGm1szCrlhz2FfLezwLG3ymHRIb6cdUYnzu2twCEix1L4EJETstsNtueVs2JvISv2FfFjetERrRsWC/SPC2V8906M7x7JGdFBmqkiIsel8CEix6htsLE5p4y1GcWsyyhmfWYJ5bWNR7wmItCHEV0iGJ3akXHdOhIeaDWpWhFpaxQ+RNyc3W6QVljF5pxSfsouZVNOGTv2l1Nvsx/xugAfT4YlhzOiawRndo0gNTJQrRsickpaLHw8/fTTPP744+Tl5dGzZ0/mz5/PqFGjWurtROQklNU0sCu/gp355ezMr2BnXjm78iuoOrSU+S9FBFoZktSBQQlhDEkKo3tUEF6eHiZULSLtTYuEj3feeYdZs2bx9NNPM3LkSJ577jkmT57M9u3biY+Pb4m3FJFDbHaD/aU1ZBZVk15URUZhFemFVezKryC3tOZX/4yvtwe9YkLoExtK37gQ+sWFEh/mr5YNEWkRFsMwDGefdOjQoQwYMIBnnnnGceyMM87gggsuYO7cub/5Z8vLywkJCaGsrIzg4GBnlybSphmGQXlNI3nlNeSV1ZJXWkt+WQ37y2rJL6tlf1kNOSU11Dfaj3uOzqF+dI8KoltUEN2jg+keFURSRADeatUQkdPQnPu301s+6uvrWb9+Pffee+8RxydNmsTKlSuPeX1dXR11dXWOr8vLy495jYg7W5dRzPQX1/xmoDiaj6cHcWF+JEUEkBgeQGJEAN2igkiNDCLET8uXi4i5nB4+CgsLsdlsREZGHnE8MjKS/Pz8Y14/d+5cHnroIWeXIdJuvLM2+5jg0cHfm6gQP2JCfIkK8SUm1I+oYF+iQ32J6+BPTKif1tYQEZfVYgNOj+4rNgzjV/uP77vvPmbPnu34ury8nLi4uJYqS6TNuXtSNzoFW1mXUUJEoJXx3TsxbWCs2WWJiJwyp4ePiIgIPD09j2nlKCgoOKY1BMBqtWK1an0AkeOJCvHl/87ubnYZIiJO4/QRZj4+PgwcOJDFixcfcXzx4sWMGDHC2W8nIiIibUyLdLvMnj2bq666ikGDBjF8+HCef/55srKyuOmmm1ri7URERKQNaZHwcdlll1FUVMTf//538vLy6NWrF1988QUJCQkt8XYiIiLShrTIOh+nQ+t8iIiItD3NuX9rVSERERFpVQofIiIi0qoUPkRERKRVKXyIiIhIq1L4EBERkVal8CEiIiKtSuFDREREWpXCh4iIiLQqhQ8RERFpVS2yvPrpOLzganl5ucmViIiIyMk6fN8+mYXTXS58VFRUABAXF2dyJSIiItJcFRUVhISE/OZrXG5vF7vdzv79+wkKCsJisZhdzhHKy8uJi4sjOztb+84chz6jE9NndGL6jE5Mn9Fv0+dzYs7+jAzDoKKigpiYGDw8fntUh8u1fHh4eBAbG2t2Gb8pODhYF/MJ6DM6MX1GJ6bP6MT0Gf02fT4n5szP6EQtHodpwKmIiIi0KoUPERERaVUKH81gtVp54IEHsFqtZpfisvQZnZg+oxPTZ3Ri+ox+mz6fEzPzM3K5AaciIiLSvqnlQ0RERFqVwoeIiIi0KoUPERERaVUKHyIiItKqFD5O0iOPPMKIESPw9/cnNDT0V1+TlZXF1KlTCQgIICIigjvuuIP6+vrWLdSFJCYmYrFYjnjce++9ZpdlqqeffpqkpCR8fX0ZOHAgy5cvN7skl/Hggw8ec71ERUWZXZapli1bxtSpU4mJicFisfDxxx8f8bxhGDz44IPExMTg5+fH2LFj2bZtmznFmuREn9E111xzzHU1bNgwc4o1wdy5cxk8eDBBQUF06tSJCy64gF27dh3xGjOuI4WPk1RfX88ll1zCzTff/KvP22w2pkyZQlVVFT/88ANvv/02H3zwAXfffXcrV+pa/v73v5OXl+d4/OUvfzG7JNO88847zJo1i/vvv5+NGzcyatQoJk+eTFZWltmluYyePXsecb1s2bLF7JJMVVVVRd++fVmwYMGvPv/YY48xb948FixYwNq1a4mKimLixImOPbLcwYk+I4BzzjnniOvqiy++aMUKzbV06VJuvfVWVq9ezeLFi2lsbGTSpElUVVU5XmPKdWRIsyxcuNAICQk55vgXX3xheHh4GLm5uY5jb731lmG1Wo2ysrJWrNB1JCQkGP/+97/NLsNlDBkyxLjpppuOONa9e3fj3nvvNaki1/LAAw8Yffv2NbsMlwUYH330keNru91uREVFGf/85z8dx2pra42QkBDj2WefNaFC8x39GRmGYcyYMcM4//zzTanHFRUUFBiAsXTpUsMwzLuO1PLhJKtWraJXr17ExMQ4jp199tnU1dWxfv16Eysz16OPPkp4eDj9+vXjkUcecdtuqPr6etavX8+kSZOOOD5p0iRWrlxpUlWuZ8+ePcTExJCUlMTll19OWlqa2SW5rPT0dPLz84+4pqxWK2PGjNE1dZQlS5bQqVMnUlNTueGGGygoKDC7JNOUlZUBEBYWBph3HbncxnJtVX5+PpGRkUcc69ChAz4+PuTn55tUlbnuvPNOBgwYQIcOHfjxxx+57777SE9P58UXXzS7tFZXWFiIzWY75hqJjIx02+vjaEOHDuW1114jNTWVAwcO8PDDDzNixAi2bdtGeHi42eW5nMPXza9dU5mZmWaU5JImT57MJZdcQkJCAunp6fz1r39l/PjxrF+/3u1WPzUMg9mzZ3PmmWfSq1cvwLzryK1bPn5tgNvRj3Xr1p30+SwWyzHHDMP41eNtVXM+s7vuuosxY8bQp08frr/+ep599lleeuklioqKTP5bmOfoa6G9XR+nY/LkyUybNo3evXszYcIEPv/8cwBeffVVkytzbbqmfttll13GlClT6NWrF1OnTuXLL79k9+7djuvLndx2221s3ryZt95665jnWvs6cuuWj9tuu43LL7/8N1+TmJh4UueKiopizZo1RxwrKSmhoaHhmETZlp3OZ3Z4hPnevXvd7jfZiIgIPD09j2nlKCgoaFfXhzMFBATQu3dv9uzZY3YpLunwTKD8/Hyio6Mdx3VN/bbo6GgSEhLc7rq6/fbb+fTTT1m2bBmxsbGO42ZdR24dPiIiIoiIiHDKuYYPH84jjzxCXl6e4x9w0aJFWK1WBg4c6JT3cAWn85lt3LgR4IgL3F34+PgwcOBAFi9ezIUXXug4vnjxYs4//3wTK3NddXV17Nixg1GjRpldiktKSkoiKiqKxYsX079/f6BpbNHSpUt59NFHTa7OdRUVFZGdne02P4cMw+D222/no48+YsmSJSQlJR3xvFnXkVuHj+bIysqiuLiYrKwsbDYbmzZtAqBr164EBgYyadIkevTowVVXXcXjjz9OcXExf/zjH7nhhhsIDg42t3gTrFq1itWrVzNu3DhCQkJYu3Ytd911F7/73e+Ij483uzxTzJ49m6uuuopBgwYxfPhwnn/+ebKysrjpppvMLs0l/PGPf2Tq1KnEx8dTUFDAww8/THl5OTNmzDC7NNNUVlayd+9ex9fp6els2rSJsLAw4uPjmTVrFnPmzCElJYWUlBTmzJmDv78/06dPN7Hq1vVbn1FYWBgPPvgg06ZNIzo6moyMDP785z8TERFxxC8B7dmtt97Km2++ySeffEJQUJCj9TUkJAQ/Pz8sFos511GLzaNpZ2bMmGEAxzy+//57x2syMzONKVOmGH5+fkZYWJhx2223GbW1teYVbaL169cbQ4cONUJCQgxfX1+jW7duxgMPPGBUVVWZXZqpnnrqKSMhIcHw8fExBgwY4JjuJoZx2WWXGdHR0Ya3t7cRExNjXHTRRca2bdvMLstU33///a/+3JkxY4ZhGE3TJB944AEjKirKsFqtxujRo40tW7aYW3Qr+63PqLq62pg0aZLRsWNHw9vb24iPjzdmzJhhZGVlmV12q/m1zwYwFi5c6HiNGdeR5VBxIiIiIq3CrWe7iIiISOtT+BAREZFWpfA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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(1.2093, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.9404, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(10.5588, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4382, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.1849, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.7062, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(15.4156, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.9210, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.1927, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(8.8946, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(19.8962, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5725, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0562, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.5613, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(23.4593, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6274, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0077, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.4414, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(25.6629, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7141, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0116, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3946, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(25.9312, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6659, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(0.0058, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3654, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.1409, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7030, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0102, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.4023, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.4010, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7990, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(0.0055, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3004, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.6028, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6603, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0035, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.2848, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.7734, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6892, requires_grad=True)}\n", + "Time elapsed: 275.59698009490967\n" + ] + } + ], + "source": [ + "start = time.time()\n", + "\n", + "ode_solver_train.fit_random_sample(\n", + " result,\n", + " torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=10,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [5],\"gamma\": 0.2}\n", + ")\n", + "\n", + "end = time.time()\n", + "print(\"Time elapsed: \", end-start)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(10.2848, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(26.7734, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(2.6892, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 23 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The parameters are much closer" + ] + }, + { + "source": [ + "# Runge-Kutta method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(0.1864, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(8.5778, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.2335, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(1.8332, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.1115, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1605, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(22.1723, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.9570, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0108, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.4601, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(25.7092, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7110, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0009, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3885, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.4616, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6041, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(6.4546e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1443, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1095, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7479, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(3.7090e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1081, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1261, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6998, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(5.6099e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0971, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1131, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6914, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(2.8364e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0862, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.0929, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7032, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(1.3191e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0769, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.0706, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7000, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(1.2478e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0535, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.0544, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6995, requires_grad=True)}\n", + "Time elapsed: 302.162636756897\n" + ] + } + ], + "source": [ + "start = time.time()\n", + "\n", + "ode_solver_train.fit_random_sample(\n", + " result,\n", + " torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=10,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [5],\"gamma\": 0.2}\n", + ")\n", + "\n", + "end = time.time()\n", + "print(\"Time elapsed: \", end-start)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(10.0535, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(28.0544, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(2.6995, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 26 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The parameters are much closer" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1754e-01, 2.6679e-01, 1.2654e-03],\n", + " [ 8.6738e-01, 5.1253e-01, 4.6595e-03],\n", + " ...,\n", + " [-5.4541e+00, -8.4214e+00, 1.7792e+01],\n", + " [-5.7615e+00, -8.9102e+00, 1.7798e+01],\n", + " [-6.0874e+00, -9.4245e+00, 1.7859e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 28 + } + ], + "source": [ + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T17:38:11.814001\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Lorenz63_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": 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self.runge_kutta_4_step else: raise ValueError(f"Unrecognized solver {solver}") @@ -34,57 +34,56 @@ def __init__( self.outvar = self.var_names if outvar is None else outvar self.dt = dt - def euler(self, nt): + def euler_step(self, prev_val): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + for var in self.var_names: + pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt + return pred - for n in range(nt - 1): - # create dictionary containing values from previous time step - prev_val = {var: pred[var][[n]] for var in self.var_names} - - for var in self.var_names: - new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt - pred[var] = torch.cat([pred[var], new_val]) + def runge_kutta_4_step(self, prev_val): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - # reformat output to contain desired (observed) variables - return torch.stack([pred[var] for var in self.outvar], dim=1) + k_1 = prev_val + k_2 = {} + k_3 = {} + k_4 = {} + + for var in self.var_names: + k_2[var] = ( + prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + ) + + for var in self.var_names: + k_3[var] = ( + prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + ) + + for var in self.var_names: + k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt + + for var in self.var_names: + pred[var] = ( + prev_val[var] + + ( + self.ode[var](k_1, self.coeffs) / 6 + + self.ode[var](k_2, self.coeffs) / 3 + + self.ode[var](k_3, self.coeffs) / 3 + + self.ode[var](k_4, self.coeffs) / 6 + ) + * self.dt + ) + + return pred - def runge_kutta_4(self, nt): + def solver(self, nt): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for n in range(nt - 1): # create dictionary containing values from previous time step prev_val = {var: pred[var][[n]] for var in self.var_names} - - k_1 = prev_val - k_2 = {} - k_3 = {} - k_4 = {} - - for var in self.var_names: - k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - ) - - for var in self.var_names: - k_3[var] = ( - prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - ) - + new_val = self.step_solver(prev_val) for var in self.var_names: - k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt - - for var in self.var_names: - new_val = ( - prev_val[var] - + ( - self.ode[var](k_1, self.coeffs) / 6 - + self.ode[var](k_2, self.coeffs) / 3 - + self.ode[var](k_3, self.coeffs) / 3 - + self.ode[var](k_4, self.coeffs) / 6 - ) - * self.dt - ) - pred[var] = torch.cat([pred[var], new_val]) + pred[var] = torch.cat([pred[var], new_val[var]]) # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) @@ -176,11 +175,7 @@ def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_si pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - for var in self.var_names: - # Increment using Euler's method - # TODO: Write a separate function to do this - new_val = init_point[var] + self.ode[var](init_point, self.coeffs) * self.dt - pred[var] = new_val + pred = self.step_solver(init_point) predictions = torch.stack([pred[var] for var in self.outvar], dim=0) From 69127b02b1b4dc77640b9f67eb9bc4bda81473ff Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Mon, 23 Aug 2021 17:56:59 -0400 Subject: [PATCH 31/73] Used RK4 to train the SEIR model --- .../SEIR/SEIRTest_fitRandomSample_RK4.ipynb | 441 ++++++++++++++++++ .../ode/SEIR/SEIR_fitRandomSample_RK4.mat | Bin 0 -> 160184 bytes .../Lorenz63Train_fitRandomSample_RK4.ipynb | 8 +- 3 files changed, 444 insertions(+), 5 deletions(-) create mode 100644 examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb create mode 100644 examples/ode/SEIR/SEIR_fitRandomSample_RK4.mat diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb new file mode 100644 index 00000000..b1ea380c --- /dev/null +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb @@ -0,0 +1,441 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Rossler Attractor equations\n", + "dt = 0.01\n", + "\n", + "def s_prime(prev_val, coeffs):\n", + " return - coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"]\n", + "\n", + "def e_prime(prev_val, coeffs):\n", + " return coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"] - coeffs[\"g2\"]*prev_val[\"e\"]\n", + "\n", + "def i_prime(prev_val, coeffs):\n", + " return coeffs[\"g2\"]*prev_val[\"e\"] - coeffs[\"a\"]*prev_val[\"i\"]\n", + "\n", + "def r_prime(prev_val, coeffs):\n", + " return coeffs[\"a\"]*prev_val[\"i\"]\n", + "\n", + "ode = {\"s\": s_prime, \"e\": e_prime, \"i\": i_prime, \"r\": r_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"s\": 0.1, \"e\": 0.9, \"i\": 0, \"r\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.SGD,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9820e-01, 1.7973e-03, 8.9910e-07],\n", + " [9.9999e-02, 8.9641e-01, 3.5892e-03, 3.5928e-06],\n", + " ...,\n", + " [3.3031e-02, 1.5079e-01, 4.4694e-01, 3.6924e-01],\n", + " [3.2987e-02, 1.5053e-01, 4.4679e-01, 3.6969e-01],\n", + " [3.2943e-02, 1.5028e-01, 4.4664e-01, 3.7014e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(result_np[:,0])\n", + "plt.plot(result_np[:,1])\n", + "plt.plot(result_np[:,2])\n", + "plt.plot(result_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Runge-Kutta method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"g1\": 0., \"g2\": 0.}\n", + "\n", + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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EBFVXV7e7z+eff64FCxZo9erViojo3CeJCwoK5Ha7vY/k5GR/pgkAAEJIl97A+r/3uTfGtHvv+5aWFk2ZMkUPPvigzjnnnE4//8KFC1VfX+99VFZWdmWaAAAgBPh107P4+HiFh4e3OQtSU1PT5myJJDU2NurDDz9UWVmZZs2aJUlqbW2VMUYRERF64403dPnll7fZz+VyyeVy+TM1AAAQovw6M+J0OpWeni6Px+Oz3ePxKDMzs834uLg4bd++Xdu2bfM+cnNzde6552rbtm0aMaLnvzQIAACcWPy+HXx+fr6mTp2qjIwMjRw5Us8884wqKiqUm5sr6dgllr179+q5555TWFiY0tLSfPbv16+foqKi2mwHAACnJr9jJDs7W3V1dVq8eLGqqqqUlpam4uJipaSkSJKqqqp+9J4jAAAAxzmMMcb2JH5MQ0OD3G636uvrFRcXZ3s6AAB06PDhwyovL/feqfxk90Ovt7N/v/luGgAAIEmaPn26HA6HHA6HIiIiNGjQIN155506cOBAUI9LjAAAAK8JEyaoqqpKX375pZYtW6bXXntNd911V1CP6fd7RgAAwMnL5XIpMTFRkjRw4EBlZ2dr1apVQT0mMQIAQJAZY2QOHerx4zqio9u9KWln7d69W+vXr1dkZGQAZ9UWMQIAQJCZQ4f072HpPX7ccz8qlSMmxq99Xn/9dfXu3VstLS06fPiwpGNfkhtMxAgAAPAaN26cCgsLdfDgQS1btky7du3S7Nmzg3pMYgQAgCBzREfr3I9KrRzXX7169dJZZ50lSXriiSc0btw4Pfjgg/r9738f6Ol5ESMAAASZw+Hw+3LJieKBBx7QxIkTdeeddyopKSkox+CjvQAAoEOXXXaZLrjgAj3yyCNBOwYxAgAAflB+fr6effZZVVZWBuX5uUwDAAAkqcP7iUyZMkVTpkwJ2nE5MwIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAIAgaG1ttT2FHhGI18lHewEACCCn06mwsDDt27dPZ5xxhpxOZ7e+OfdEZYxRc3Ozvv76a4WFhcnpdHb5uYgRAAACKCwsTKmpqaqqqtK+fftsTyfoYmJiNGjQIIWFdf1iCzECAECAOZ1ODRo0SEePHlVLS4vt6QRNeHi4IiIiun3mhxgBACAIHA6HIiMjFRkZaXsqJzzewAoAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsKpLMbJ06VKlpqYqKipK6enp2rhxY4dj16xZo6uuukpnnHGG4uLiNHLkSP3jH//o8oQBAMDJxe8YKSoqUl5enhYtWqSysjKNGTNGEydOVEVFRbvj3333XV111VUqLi5WaWmpxo0bp2uvvVZlZWXdnjwAAAh9DmOM8WeHESNGaNiwYSosLPRuGzJkiCZPnqyCgoJOPccFF1yg7Oxs3X///Z0a39DQILfbrfr6esXFxfkzXQAAYEln/377dWakublZpaWlysrK8tmelZWlkpKSTj1Ha2urGhsb1adPnw7HNDU1qaGhwecBAABOTn7FSG1trVpaWpSQkOCzPSEhQdXV1Z16jj/+8Y/673//qxtuuKHDMQUFBXK73d5HcnKyP9MEAAAhpEtvYHU4HD4/G2PabGvPiy++qN/97ncqKipSv379Ohy3cOFC1dfXex+VlZVdmSYAAAgBEf4Mjo+PV3h4eJuzIDU1NW3OlvyvoqIizZgxQy+//LKuvPLKHxzrcrnkcrn8mRoAAAhRfp0ZcTqdSk9Pl8fj8dnu8XiUmZnZ4X4vvviipk+frhdeeEGTJk3q2kwBAMBJya8zI5KUn5+vqVOnKiMjQyNHjtQzzzyjiooK5ebmSjp2iWXv3r167rnnJB0LkZycHP35z3/WpZde6j2rEh0dLbfbHcCXAgAAQpHfMZKdna26ujotXrxYVVVVSktLU3FxsVJSUiRJVVVVPvccefrpp3X06FHdfffduvvuu73bp02bplWrVnX/FQAAgJDm931GbOA+IwAAhJ6g3GcEAAAg0IgRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVEbYnYIsxRoeOtNieBgAAJ4ToyHA5HA4rxz5lY+TQkRadf/8/bE8DAIATwo7F4xXjtJMFXKYBAABWnbJnRqIjw7Vj8Xjb0wAA4IQQHRlu7dinbIw4HA5rp6MAAMD3uEwDAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWNWlGFm6dKlSU1MVFRWl9PR0bdy48QfHb9iwQenp6YqKitLgwYP11FNPdWmyAADg5ON3jBQVFSkvL0+LFi1SWVmZxowZo4kTJ6qioqLd8eXl5br66qs1ZswYlZWV6b777tOcOXP0yiuvdHvyAAAg9DmMMcafHUaMGKFhw4apsLDQu23IkCGaPHmyCgoK2oyfP3++1q1bp507d3q35ebm6uOPP9bmzZs7dcyGhga53W7V19crLi7On+l2qLW1VQcbDwTkuQAACHUxsacrLCyw797o7N/vCH+etLm5WaWlpVqwYIHP9qysLJWUlLS7z+bNm5WVleWzbfz48Vq+fLmOHDmiyMjINvs0NTWpqanJ58UE2sHGA6ocMTrgzwsAQChK3rJJvd19rRzbrwSqra1VS0uLEhISfLYnJCSourq63X2qq6vbHX/06FHV1ta2u09BQYHcbrf3kZyc7M80AQBACPHrzMhxDofD52djTJttPza+ve3HLVy4UPn5+d6fGxoaAh4kMbGnK3nLpoA+JwAAoSom9nRrx/YrRuLj4xUeHt7mLEhNTU2bsx/HJSYmtjs+IiJCffu2fzrI5XLJ5XL5MzW/hYWFWTsdBQAAvufXZRqn06n09HR5PB6f7R6PR5mZme3uM3LkyDbj33jjDWVkZLT7fhEAAHBq8ftts/n5+Vq2bJlWrFihnTt3at68eaqoqFBubq6kY5dYcnJyvONzc3O1Z88e5efna+fOnVqxYoWWL1+ue+65J3CvAgAAhCy/3zOSnZ2turo6LV68WFVVVUpLS1NxcbFSUlIkSVVVVT73HElNTVVxcbHmzZunJ598UklJSXriiSd03XXXBe5VAACAkOX3fUZsCMZ9RgAAQHB19u83300DAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACs8vt28DYcv0lsQ0OD5ZkAAIDOOv53+8du9h4SMdLY2ChJSk5OtjwTAADgr8bGRrnd7g5/HxLfTdPa2qp9+/YpNjZWDocjYM/b0NCg5ORkVVZW8p03QcZa9wzWuWewzj2Dde45wVprY4waGxuVlJSksLCO3xkSEmdGwsLCNHDgwKA9f1xcHP+h9xDWumewzj2Dde4ZrHPPCcZa/9AZkeN4AysAALCKGAEAAFad0jHicrn0wAMPyOVy2Z7KSY+17hmsc89gnXsG69xzbK91SLyBFQAAnLxO6TMjAADAPmIEAABYRYwAAACriBEAAGDVKR0jS5cuVWpqqqKiopSenq6NGzfanlLIKCgo0E9/+lPFxsaqX79+mjx5sv7973/7jDHG6He/+52SkpIUHR2tyy67TJ9++qnPmKamJs2ePVvx8fHq1auXfv7zn+urr77qyZcSUgoKCuRwOJSXl+fdxjoHzt69e3XLLbeob9++iomJ0cUXX6zS0lLv71nr7jt69Kh+85vfKDU1VdHR0Ro8eLAWL16s1tZW7xjWuWveffddXXvttUpKSpLD4dDatWt9fh+odT1w4ICmTp0qt9stt9utqVOn6ttvv+3e5M0p6qWXXjKRkZHm2WefNTt27DBz5841vXr1Mnv27LE9tZAwfvx4s3LlSvPJJ5+Ybdu2mUmTJplBgwaZ7777zjvm0UcfNbGxseaVV14x27dvN9nZ2aZ///6moaHBOyY3N9cMGDDAeDwe89FHH5lx48aZiy66yBw9etTGyzqhbd261Zx55plm6NChZu7cud7trHNgfPPNNyYlJcVMnz7dbNmyxZSXl5s333zT/Oc///GOYa2776GHHjJ9+/Y1r7/+uikvLzcvv/yy6d27t3n88ce9Y1jnrikuLjaLFi0yr7zyipFkXn31VZ/fB2pdJ0yYYNLS0kxJSYkpKSkxaWlp5pprrunW3E/ZGBk+fLjJzc312XbeeeeZBQsWWJpRaKupqTGSzIYNG4wxxrS2tprExETz6KOPesccPnzYuN1u89RTTxljjPn2229NZGSkeemll7xj9u7da8LCwsz69et79gWc4BobG83ZZ59tPB6PGTt2rDdGWOfAmT9/vhk9enSHv2etA2PSpEnmtttu89n2y1/+0txyyy3GGNY5UP43RgK1rjt27DCSzPvvv+8ds3nzZiPJfPbZZ12e7yl5maa5uVmlpaXKysry2Z6VlaWSkhJLswpt9fX1kqQ+ffpIksrLy1VdXe2zxi6XS2PHjvWucWlpqY4cOeIzJikpSWlpafw7/I+7775bkyZN0pVXXumznXUOnHXr1ikjI0PXX3+9+vXrp0suuUTPPvus9/esdWCMHj1ab731lnbt2iVJ+vjjj7Vp0yZdffXVkljnYAnUum7evFlut1sjRozwjrn00kvldru7tfYh8UV5gVZbW6uWlhYlJCT4bE9ISFB1dbWlWYUuY4zy8/M1evRopaWlSZJ3Hdtb4z179njHOJ1OnX766W3G8O/wvZdeekkfffSRPvjggza/Y50DZ/fu3SosLFR+fr7uu+8+bd26VXPmzJHL5VJOTg5rHSDz589XfX29zjvvPIWHh6ulpUUPP/ywbrrpJkn8Nx0sgVrX6upq9evXr83z9+vXr1trf0rGyHEOh8PnZ2NMm234cbNmzdK//vUvbdq0qc3vurLG/Dt8r7KyUnPnztUbb7yhqKioDsexzt3X2tqqjIwMPfLII5KkSy65RJ9++qkKCwuVk5PjHcdad09RUZGef/55vfDCC7rgggu0bds25eXlKSkpSdOmTfOOY52DIxDr2t747q79KXmZJj4+XuHh4W0qrqampk014ofNnj1b69at09tvv62BAwd6tycmJkrSD65xYmKimpubdeDAgQ7HnOpKS0tVU1Oj9PR0RUREKCIiQhs2bNATTzyhiIgI7zqxzt3Xv39/nX/++T7bhgwZooqKCkn8Nx0o9957rxYsWKAbb7xRF154oaZOnap58+apoKBAEuscLIFa18TERO3fv7/N83/99dfdWvtTMkacTqfS09Pl8Xh8tns8HmVmZlqaVWgxxmjWrFlas2aN/vnPfyo1NdXn96mpqUpMTPRZ4+bmZm3YsMG7xunp6YqMjPQZU1VVpU8++YR/h//niiuu0Pbt27Vt2zbvIyMjQzfffLO2bdumwYMHs84BMmrUqDYfT9+1a5dSUlIk8d90oBw8eFBhYb5/esLDw70f7WWdgyNQ6zpy5EjV19dr69at3jFbtmxRfX1999a+y299DXHHP9q7fPlys2PHDpOXl2d69eplvvzyS9tTCwl33nmncbvd5p133jFVVVXex8GDB71jHn30UeN2u82aNWvM9u3bzU033dTux8gGDhxo3nzzTfPRRx+Zyy+//JT/eN6P+f8/TWMM6xwoW7duNREREebhhx82n3/+uVm9erWJiYkxzz//vHcMa91906ZNMwMGDPB+tHfNmjUmPj7e/PrXv/aOYZ27prGx0ZSVlZmysjIjySxZssSUlZV5b1kRqHWdMGGCGTp0qNm8ebPZvHmzufDCC/lob3c8+eSTJiUlxTidTjNs2DDvx1Lx4yS1+1i5cqV3TGtrq3nggQdMYmKicblc5mc/+5nZvn27z/McOnTIzJo1y/Tp08dER0eba665xlRUVPTwqwkt/xsjrHPgvPbaayYtLc24XC5z3nnnmWeeecbn96x19zU0NJi5c+eaQYMGmaioKDN48GCzaNEi09TU5B3DOnfN22+/3e7/l6dNm2aMCdy61tXVmZtvvtnExsaa2NhYc/PNN5sDBw50a+4OY4zp+nkVAACA7jkl3zMCAABOHMQIAACwihgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMAAMCq/wMIbbmNCrSV4AAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(results_test_np[:,0])\n", + "plt.plot(results_test_np[:,1])\n", + "plt.plot(results_test_np[:,2])\n", + "plt.plot(results_test_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(4.6512e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0285, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1122, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.0951, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.9836e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0915, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1701, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1532, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.2087e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0937, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1618, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1882, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.7804e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.1032, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1950, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(1.0666e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(-0.0341, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1928, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(7.4269e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0266, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1919, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(4.8762e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.0765, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1933, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.1817e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1189, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1947, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(1.9109e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1549, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1956, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(1.3207e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.1845, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1967, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(8.2491e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2096, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1975, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(4.7386e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2294, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1981, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(2.6972e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2457, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1986, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(1.5624e-11, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2587, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1988, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(9.4921e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2688, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1991, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(5.2422e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2767, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1993, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(3.0185e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2827, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1995, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(1.5602e-12, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2874, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1996, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(8.0120e-13, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2909, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1997, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(4.3072e-13, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", + "tensor(0.2934, requires_grad=True), 'g2': Parameter containing:\n", + "tensor(0.1998, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.01},\n", + " max_epochs=20\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': 0.09994731843471527, 'g1': 0.2934265434741974, 'g2': 0.1998223513364792}" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "ode_solver.get_coeffs()\n", + "\n", + "# Coefficients differ by at most 0.01" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", + " [1.0000e-01, 8.9820e-01, 1.7957e-03, 8.9783e-07],\n", + " [9.9999e-02, 8.9641e-01, 3.5860e-03, 3.5877e-06],\n", + " ...,\n", + " [5.3956e-03, 1.9795e-06, 1.2833e-04, 9.9447e-01],\n", + " [5.3956e-03, 1.9776e-06, 1.2821e-04, 9.9447e-01],\n", + " [5.3956e-03, 1.9757e-06, 1.2808e-04, 9.9447e-01]],\n", + " grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "results_test = ode_solver(10000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T17:56:22.458814\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plots\n", + "plt.plot(results_test_np[:,0])\n", + "plt.plot(results_test_np[:,1])\n", + "plt.plot(results_test_np[:,2])\n", + "plt.plot(results_test_np[:,3])\n", + "\n", + "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"SEIR_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": 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sF7sK)VwSR;m8@nh>)FU=wy=#I>|zgl+0Q}# Date: Mon, 23 Aug 2021 18:38:13 -0400 Subject: [PATCH 32/73] Duffing equation - Attempt to fix "w" --- .../DuffingTest_class_fit.ipynb | 388 ++++++++++++++++++ torchts/nn/models/ode_duffing_equation.py | 197 +++++++++ 2 files changed, 585 insertions(+) create mode 100644 examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb create mode 100644 torchts/nn/models/ode_duffing_equation.py diff --git a/examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb b/examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb new file mode 100644 index 00000000..fded421d --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb @@ -0,0 +1,388 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode_duffing_equation import ODEDuffingSolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 5.}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODEDuffingSolver(\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 0.0000e+00, 8.0000e-03, 1.0000e-02],\n", + " [ 8.0000e-05, 1.5974e-02, 2.0000e-02],\n", + " ...,\n", + " [-4.0961e-02, -6.2155e-02, 9.9701e+00],\n", + " [-4.1583e-02, -5.4668e-02, 9.9801e+00],\n", + " [-4.2129e-02, -4.7044e-02, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "

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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 0.}\n", + "\n", + "ode_solver_train = ODEDuffingSolver(\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:32:40.277146\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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AHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAnIgGzvHjx5Wfny+PxyOPx6P8/Hx99NFHPW7jOI6WLl2q1NRUDRgwQDfffLP2798fev5f//qXHn30UV111VUaOHCghg0bpsLCQgUCgUgeCgAAiCERDZxZs2apoaFBVVVVqqqqUkNDg/Lz83vcZsWKFVq5cqXKy8u1e/du+Xw+3XrrrWpra5MkHTlyREeOHNEzzzyjffv26de//rWqqqr04IMPRvJQAABADHE5juNEYseNjY0aO3asduzYoaysLEnSjh07lJ2drb/+9a+66qqrumzjOI5SU1NVVFSk+fPnS5La29vl9Xq1fPlyPfTQQ92+1u9+9zvNnj1bJ06cUHx8/HnXFgwG5fF4FAgElJyc/H84SgAA0Fcu5vwdsSs4tbW18ng8obiRpOuvv14ej0fbt2/vdpumpib5/X7l5eWFxtxutyZOnHjObSSFDvRC4gYAANgXsSLw+/0aMmRIl/EhQ4bI7/efcxtJ8nq9YeNer1cHDx7sdptjx47pySefPOfVHenMVaD29vbQ38Fg8LzrBwAAseuir+AsXbpULperx8eePXskSS6Xq8v2juN0O/6f/vv5c20TDAZ12223aezYsVqyZMk591dWVha60dnj8SgtLe1CDhUAAMSoi76CM3fuXN1zzz09zhkxYoTee+89ffDBB12e+/DDD7tcoTnL5/NJOnMlZ+jQoaHxlpaWLtu0tbVp8uTJ+uIXv6jNmzcrISHhnOtZuHChSkpKQn8Hg0EiBwAAwy46cFJSUpSSknLeednZ2QoEAtq1a5euu+46SdLOnTsVCASUk5PT7Tbp6eny+Xyqrq7W+PHjJUkdHR2qqanR8uXLQ/OCwaAmTZokt9utyspKJSYm9rgWt9stt9t9oYcIAABiXMRuMh4zZowmT56sOXPmaMeOHdqxY4fmzJmj22+/PewbVKNHj9bmzZslnfloqqioSKWlpdq8ebP+/Oc/63vf+54GDhyoWbNmSTpz5SYvL08nTpzQhg0bFAwG5ff75ff71dnZGanDAQAAMSSiXzt64YUXVFhYGPpW1B133KHy8vKwOQcOHAj7kb7HH39cn376qR5++GEdP35cWVlZ2rp1q5KSkiRJdXV12rlzpyTpK1/5Sti+mpqaNGLEiAgeEQAAiAUR+x2czzN+BwcAgNjzufgdHAAAgGghcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMwhcAAAgDkEDgAAMIfAAQAA5hA4AADAHAIHAACYQ+AAAABzCBwAAGAOgQMAAMyJaOAcP35c+fn58ng88ng8ys/P10cffdTjNo7jaOnSpUpNTdWAAQN08803a//+/eecO2XKFLlcLr366qu9fwAAACAmRTRwZs2apYaGBlVVVamqqkoNDQ3Kz8/vcZsVK1Zo5cqVKi8v1+7du+Xz+XTrrbeqra2ty9xVq1bJ5XJFavkAACBGxUdqx42NjaqqqtKOHTuUlZUlSVq/fr2ys7N14MABXXXVVV22cRxHq1at0uLFi3XXXXdJkn7zm9/I6/XqxRdf1EMPPRSau3fvXq1cuVK7d+/W0KFDI3UYAAAgBkXsCk5tba08Hk8obiTp+uuvl8fj0fbt27vdpqmpSX6/X3l5eaExt9utiRMnhm3zySef6N5771V5ebl8Pt9519Le3q5gMBj2AAAAdkUscPx+v4YMGdJlfMiQIfL7/efcRpK8Xm/YuNfrDdumuLhYOTk5uvPOOy9oLWVlZaH7gDwej9LS0i70MAAAQAy66MBZunSpXC5Xj489e/ZIUrf3xziOc977Zv77+f/cprKyUm+++aZWrVp1wWteuHChAoFA6HHo0KEL3hYAAMSei74HZ+7cubrnnnt6nDNixAi99957+uCDD7o89+GHH3a5QnPW2Y+b/H5/2H01LS0toW3efPNN/f3vf9dll10Wtu2MGTOUm5urt99+u8t+3W633G53j2sGAAB2XHTgpKSkKCUl5bzzsrOzFQgEtGvXLl133XWSpJ07dyoQCCgnJ6fbbdLT0+Xz+VRdXa3x48dLkjo6OlRTU6Ply5dLkhYsWKAf/OAHYdtdc801+tnPfqZp06Zd7OEAAACDIvYtqjFjxmjy5MmaM2eOfvGLX0iSfvjDH+r2228P+wbV6NGjVVZWpm9961tyuVwqKipSaWmpRo0apVGjRqm0tFQDBw7UrFmzJJ25ytPdjcXDhg1Tenp6pA4HAADEkIgFjiS98MILKiwsDH0r6o477lB5eXnYnAMHDigQCIT+fvzxx/Xpp5/q4Ycf1vHjx5WVlaWtW7cqKSkpkksFAACGuBzHcaK9iL4WDAbl8XgUCASUnJwc7eUAAIALcDHnb/4tKgAAYA6BAwAAzCFwAACAOQQOAAAwh8ABAADmEDgAAMAcAgcAAJhD4AAAAHMIHAAAYA6BAwAAzCFwAACAOQQOAAAwh8ABAADmEDgAAMAcAgcAAJhD4AAAAHMIHAAAYA6BAwAAzCFwAACAOQQOAAAwh8ABAADmEDgAAMAcAgcAAJhD4AAAAHMIHAAAYA6BAwAAzCFwAACAOQQOAAAwh8ABAADmEDgAAMAcAgcAAJhD4AAAAHMIHAAAYA6BAwAAzCFwAACAOQQOAAAwh8ABAADmEDgAAMAcAgcAAJhD4AAAAHMIHAAAYA6BAwAAzImP9gKiwXEcSVIwGIzySgAAwIU6e94+ex7vySUZOG1tbZKktLS0KK8EAABcrLa2Nnk8nh7nuJwLySBjTp8+rSNHjigpKUkul6tX9x0MBpWWlqZDhw4pOTm5V/eN/8X73Dd4n/sO73Xf4H3uG5F6nx3HUVtbm1JTU9WvX8932VySV3D69eunK664IqKvkZyczH88fYD3uW/wPvcd3uu+wfvcNyLxPp/vys1Z3GQMAADMIXAAAIA5BE4vc7vdWrJkidxud7SXYhrvc9/gfe47vNd9g/e5b3we3udL8iZjAABgG1dwAACAOQQOAAAwh8ABAADmEDgAAMAcAqcXrVmzRunp6UpMTFRGRoa2bdsW7SWZU1ZWpq9//etKSkrSkCFDNH36dB04cCDayzKvrKxMLpdLRUVF0V6KOYcPH9bs2bM1ePBgDRw4UF/72tdUV1cX7WWZc+rUKT3xxBNKT0/XgAEDNHLkSC1btkynT5+O9tJi2jvvvKNp06YpNTVVLpdLr776atjzjuNo6dKlSk1N1YABA3TzzTdr//79fbI2AqeXbNy4UUVFRVq8eLHq6+uVm5urKVOmqLm5OdpLM6WmpkaPPPKIduzYoerqap06dUp5eXk6ceJEtJdm1u7du1VRUaFrr7022ksx5/jx47rhhhuUkJCg119/XX/5y1/005/+VJdddlm0l2bO8uXLtW7dOpWXl6uxsVErVqzQ008/rZ///OfRXlpMO3HihL761a+qvLy82+dXrFihlStXqry8XLt375bP59Ott94a+jchI8pBr7juuuucgoKCsLHRo0c7CxYsiNKKLg0tLS2OJKempibaSzGpra3NGTVqlFNdXe1MnDjRmTdvXrSXZMr8+fOdG2+8MdrLuCTcdtttzgMPPBA2dtdddzmzZ8+O0orskeRs3rw59Pfp06cdn8/n/OQnPwmN/fvf/3Y8Ho+zbt26iK+HKzi9oKOjQ3V1dcrLywsbz8vL0/bt26O0qktDIBCQJF1++eVRXolNjzzyiG677Tbdcsst0V6KSZWVlcrMzNR3vvMdDRkyROPHj9f69eujvSyTbrzxRv3hD3/Q+++/L0nau3ev3n33XU2dOjXKK7OrqalJfr8/7Nzodrs1ceLEPjk3XpL/2GZva21tVWdnp7xeb9i41+uV3++P0qrscxxHJSUluvHGGzVu3LhoL8ecl19+WX/605+0e/fuaC/FrH/84x9au3atSkpKtGjRIu3atUuFhYVyu9267777or08U+bPn69AIKDRo0crLi5OnZ2deuqpp3TvvfdGe2lmnT3/dXduPHjwYMRfn8DpRS6XK+xvx3G6jKH3zJ07V++9957efffdaC/FnEOHDmnevHnaunWrEhMTo70cs06fPq3MzEyVlpZKksaPH6/9+/dr7dq1BE4v27hxo37729/qxRdf1NVXX62GhgYVFRUpNTVV999/f7SXZ1q0zo0ETi9ISUlRXFxcl6s1LS0tXcoVvePRRx9VZWWl3nnnHV1xxRXRXo45dXV1amlpUUZGRmiss7NT77zzjsrLy9Xe3q64uLgortCGoUOHauzYsWFjY8aM0aZNm6K0Irt+9KMfacGCBbrnnnskSddcc40OHjyosrIyAidCfD6fpDNXcoYOHRoa76tzI/fg9IL+/fsrIyND1dXVYePV1dXKycmJ0qpschxHc+fO1SuvvKI333xT6enp0V6SSd/85je1b98+NTQ0hB6ZmZn67ne/q4aGBuKml9xwww1dfubg/fff1/Dhw6O0Irs++eQT9esXfsqLi4vja+IRlJ6eLp/PF3Zu7OjoUE1NTZ+cG7mC00tKSkqUn5+vzMxMZWdnq6KiQs3NzSooKIj20kx55JFH9OKLL+q1115TUlJS6KqZx+PRgAEDorw6O5KSkrrc1/SFL3xBgwcP5n6nXlRcXKycnByVlpbq7rvv1q5du1RRUaGKiopoL82cadOm6amnntKwYcN09dVXq76+XitXrtQDDzwQ7aXFtI8//lh/+9vfQn83NTWpoaFBl19+uYYNG6aioiKVlpZq1KhRGjVqlEpLSzVw4EDNmjUr8ouL+Pe0LiGrV692hg8f7vTv39+ZMGECX12OAEndPn71q19Fe2nm8TXxyPj973/vjBs3znG73c7o0aOdioqKaC/JpGAw6MybN88ZNmyYk5iY6IwcOdJZvHix097eHu2lxbS33nqr2/8n33///Y7jnPmq+JIlSxyfz+e43W7npptucvbt29cna3M5juNEPqMAAAD6DvfgAAAAcwgcAABgDoEDAADMIXAAAIA5BA4AADCHwAEAAOYQOAAAwBwCBwAAmEPgAAAAcwgcAABgDoEDAADMIXAAAIA5/x+2AhDIvI7OFAAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(0.0046, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0., requires_grad=True), 'b': Parameter containing:\n", + "tensor(0., requires_grad=True), 'd': Parameter containing:\n", + "tensor(0., requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.1000, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.7642, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0744, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.0744, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0744, requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.0258, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0354, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1329, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1320, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1327, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.0356, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0308, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1814, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1791, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1808, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.0837, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0675, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2234, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2190, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2220, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.1226, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0804, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2605, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2535, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2579, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.1549, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(0.0854, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2937, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2837, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2893, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.1822, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0879, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3236, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3104, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3173, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.2054, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(0.0894, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3507, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3341, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3422, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.2252, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0902, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3755, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3554, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3645, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.2422, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0., requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(0.3755, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.3554, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(0.3645, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(0.2422, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(0., requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 0.0000e+00, 2.4221e-03, 1.0000e-02],\n", + " [ 2.4221e-05, 4.8354e-03, 2.0000e-02],\n", + " ...,\n", + " [ 5.1547e-01, -2.1869e-06, 9.9973e+01],\n", + " [ 5.1547e-01, -2.1870e-06, 9.9983e+01],\n", + " [ 5.1547e-01, -2.1869e-06, 9.9993e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 23 + } + ], + "source": [ + "results_test = ode_solver_train(10000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/torchts/nn/models/ode_duffing_equation.py b/torchts/nn/models/ode_duffing_equation.py new file mode 100644 index 00000000..8b8bc05e --- /dev/null +++ b/torchts/nn/models/ode_duffing_equation.py @@ -0,0 +1,197 @@ +import torch +from torch import nn +from torch.utils.data import DataLoader, TensorDataset + +from torchts.nn.model import TimeSeriesModel + + +class ODEDuffingSolver(TimeSeriesModel): + def __init__( + self, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs + ): + super().__init__(**kwargs) + + if solver == "euler": + self.step_solver = self.euler_step + elif solver == "rk4": + self.step_solver = self.runge_kutta_4_step + else: + raise ValueError(f"Unrecognized solver {solver}") + + for name, value in init_coeffs.items(): + self.register_parameter(name, nn.Parameter(torch.tensor(value))) + + self.var_names = init_vars.keys() + self.init_vars = { + name: torch.tensor(value, device=self.device) + for name, value in init_vars.items() + } + self.coeffs = {name: param for name, param in self.named_parameters()} + self.outvar = self.var_names if outvar is None else outvar + self.dt = dt + + def euler_step(self, prev_val): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + pred["x"] = prev_val["x"] + prev_val["x_"] * self.dt + pred["x_"] = prev_val["x_"] + (self.coeffs["g"]*torch.cos(self.coeffs["w"]*prev_val["t"]) - self.coeffs["d"]*prev_val["x_"] - self.coeffs["a"]*prev_val["x"] - self.coeffs["b"]*prev_val["x"]*prev_val["x"]*prev_val["x"]) * self.dt + pred["t"] = prev_val["t"] + self.dt + return pred + + # TODO: Implement + def runge_kutta_4_step(self, prev_val): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + k_1 = prev_val + k_2 = {} + k_3 = {} + k_4 = {} + + for var in self.var_names: + k_2[var] = ( + prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + ) + + for var in self.var_names: + k_3[var] = ( + prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + ) + + for var in self.var_names: + k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt + + for var in self.var_names: + pred[var] = ( + prev_val[var] + + ( + self.ode[var](k_1, self.coeffs) / 6 + + self.ode[var](k_2, self.coeffs) / 3 + + self.ode[var](k_3, self.coeffs) / 3 + + self.ode[var](k_4, self.coeffs) / 6 + ) + * self.dt + ) + + return pred + + def solver(self, nt): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + for n in range(nt - 1): + # create dictionary containing values from previous time step + prev_val = {var: pred[var][[n]] for var in self.var_names} + new_val = self.step_solver(prev_val) + for var in self.var_names: + pred[var] = torch.cat([pred[var], new_val[var]]) + + # reformat output to contain desired (observed) variables + return torch.stack([pred[var] for var in self.outvar], dim=1) + + def forward(self, nt): + return self.solver(nt) + + def get_coeffs(self): + return {name: param.item() for name, param in self.named_parameters()} + + + def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, scheduler_params=None): + """Fits model to the given data by comparing the whole dataset + + Args: + x (torch.Tensor): Original time series data + optim (torch.optim): Optimizer + optim_params: Optimizer parameters + max_epochs (int): Number of training epochs + scheduler (torch.optim.lr_scheduler): Learning rate scheduler + scheduler_params: Learning rate scheduler parameters + """ + dataset = TensorDataset(x) + n = dataset.__len__() + loader = DataLoader(dataset, batch_size=n) + + if optim_params is not None: + optimizer = optim(self.parameters(), **optim_params) + else: + optimizer = optim(self.parameters()) + + if scheduler is not None: + if scheduler_params is not None: + lr_scheduler = scheduler(optimizer, **scheduler_params) + else: + lr_scheduler = scheduler(optimizer) + + for epoch in range(max_epochs): + for i, data in enumerate(loader, 0): + self.zero_grad() + loss = self._step(data, i, n) + loss.backward(retain_graph=True) + optimizer.step() + if scheduler is not None: + lr_scheduler.step() + + print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) + print(self.coeffs) + + def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_size=64, scheduler=None, scheduler_params=None): + """Fits model to the given data by using random samples for each batch + + Args: + x (torch.Tensor): Original time series data + optim (torch.optim): Optimizer + optim_params: Optimizer parameters + max_epochs (int): Number of training epochs + batch_size (int): Batch size for torch.utils.data.DataLoader + scheduler (torch.optim.lr_scheduler): Learning rate scheduler + scheduler_params: Learning rate scheduler parameters + """ + dataset = TensorDataset(x) + loader = DataLoader(dataset, batch_size=batch_size) + + if optim_params is not None: + optimizer = optim(self.parameters(), **optim_params) + else: + optimizer = optim(self.parameters()) + + if scheduler is not None: + if scheduler_params is not None: + lr_scheduler = scheduler(optimizer, **scheduler_params) + else: + lr_scheduler = scheduler(optimizer) + + for epoch in range(max_epochs): + for i, data in enumerate(loader, 0): + self.zero_grad() + + n = data[0].shape[0] + + if n<3: + continue + + # Takes a random data point from "data" + ri = torch.randint(low=0,high=n-2,size=()).item() + single_point = data[0][ri:ri+1,:] + init_point = {var: single_point[0,i] for i,var in enumerate(self.var_names)} + + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + pred = self.step_solver(init_point) + + predictions = torch.stack([pred[var] for var in self.outvar], dim=0) + + # Compare numerical integration data with next data point + loss = self.criterion(predictions, data[0][ri+1,:]) + + loss.backward(retain_graph=True) + optimizer.step() + + if scheduler is not None: + lr_scheduler.step() + + print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) + print(self.coeffs) + + + def _step(self, batch, batch_idx, num_batches): + (x,) = batch + nt = x.shape[0] + pred = self(nt) + return self.criterion(pred, x) From 28105a8cd311b07509bf6f5a0550d459c8cf3935 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Mon, 23 Aug 2021 19:01:35 -0400 Subject: [PATCH 33/73] Fixed error with "w" in Duffing Equation --- .../DuffingTest_class_fit.ipynb | 388 ---------- .../DuffingTest_fitRandomSample_with_w.ipynb | 401 ++++++++++ ...ffingTest_fitRandomSample_with_w_RK4.ipynb | 401 ++++++++++ .../DuffingTest_fit_with_w.ipynb | 715 ++++++++++++++++++ torchts/nn/models/ode_duffing_equation.py | 197 ----- 5 files changed, 1517 insertions(+), 585 deletions(-) delete mode 100644 examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb create mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb create mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb create mode 100644 examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb delete mode 100644 torchts/nn/models/ode_duffing_equation.py diff --git a/examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb b/examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb deleted file mode 100644 index fded421d..00000000 --- a/examples/ode/DuffingEquation/DuffingTest_class_fit.ipynb +++ /dev/null @@ -1,388 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode_duffing_equation import ODEDuffingSolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 5.}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODEDuffingSolver(\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 0.0000e+00, 8.0000e-03, 1.0000e-02],\n", - " [ 8.0000e-05, 1.5974e-02, 2.0000e-02],\n", - " ...,\n", - " [-4.0961e-02, -6.2155e-02, 9.9701e+00],\n", - " [-4.1583e-02, -5.4668e-02, 9.9801e+00],\n", - " [-4.2129e-02, -4.7044e-02, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 17 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 0.}\n", - "\n", - "ode_solver_train = ODEDuffingSolver(\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:32:40.277146\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(0.0046, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0., requires_grad=True), 'b': Parameter containing:\n", - "tensor(0., requires_grad=True), 'd': Parameter containing:\n", - "tensor(0., requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.1000, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.7642, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0744, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.0744, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0744, requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.0258, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0354, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1329, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.1320, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1327, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.0356, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0308, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1814, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.1791, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1808, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.0837, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0675, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2234, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2190, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2220, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.1226, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0804, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2605, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2535, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2579, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.1549, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(0.0854, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2937, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2837, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2893, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.1822, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0879, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3236, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3104, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.3173, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.2054, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(0.0894, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3507, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3341, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.3422, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.2252, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0902, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3755, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3554, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.3645, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.2422, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=10\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(0.3755, requires_grad=True),\n", - " 'b': Parameter containing:\n", - " tensor(0.3554, requires_grad=True),\n", - " 'd': Parameter containing:\n", - " tensor(0.3645, requires_grad=True),\n", - " 'g': Parameter containing:\n", - " tensor(0.2422, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(0., requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 22 - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", - "# TODO: Investigate why \"w\" isn't learning" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 0.0000e+00, 2.4221e-03, 1.0000e-02],\n", - " [ 2.4221e-05, 4.8354e-03, 2.0000e-02],\n", - " ...,\n", - " [ 5.1547e-01, -2.1869e-06, 9.9973e+01],\n", - " [ 5.1547e-01, -2.1870e-06, 9.9983e+01],\n", - " [ 5.1547e-01, -2.1869e-06, 9.9993e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 23 - } - ], - "source": [ - "results_test = ode_solver_train(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb new file mode 100644 index 00000000..494b2183 --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb @@ -0,0 +1,401 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", + " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", + " ...,\n", + " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", + " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", + " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:46:24.188460\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(1.5345e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1958, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4740, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0340, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8324, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2078, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.6405e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3523, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1234, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2738, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.1512, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.7224, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(6.2219e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0425, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.6194, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.2392, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.0152, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.6459, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(7.5991e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4149, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3046, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1818, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5973, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.3731, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(6.2194e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0007, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.7119, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.3436, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.0089, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.8776, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(4.3112e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4914, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3646, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1118, requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.5849, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.8166, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(8.0236e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2452, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.6347, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0824, requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.2328, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.1488, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(6.6415e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4988, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4766, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0458, requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.1356, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.0817, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(3.4479e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3148, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.6386, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.1946, requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.2991, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.2047, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(2.0038e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5308, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5294, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0315, requires_grad=True), 'g': Parameter containing:\n", + "tensor(-0.0015, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.1920, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(-0.5308, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.5294, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(-0.0315, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(-0.0015, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(0.1920, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 0.0000e+00, -1.4574e-05, 1.0000e-02],\n", + " [-1.4574e-07, -2.9153e-05, 2.0000e-02],\n", + " ...,\n", + " [-6.5856e+00, 2.5939e+01, 9.9973e+01],\n", + " [-6.3262e+00, 2.7424e+01, 9.9983e+01],\n", + " [-6.0520e+00, 2.8740e+01, 9.9993e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "results_test = ode_solver_train(10000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb new file mode 100644 index 00000000..d4d98bad --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb @@ -0,0 +1,401 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", + " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", + " ...,\n", + " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", + " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", + " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:55:09.891956\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(8.9032e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0939, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2094, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.2346, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6090, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2538, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(4.9188e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0489, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3273, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1743, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5939, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1477, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(4.3954e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2185, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3450, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.3001, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.4604, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2030, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(3.3049e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3561, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3772, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0100, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5225, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2189, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(7.9197e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3269, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4776, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.2438, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5106, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1436, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(3.3845e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5730, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2565, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1418, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.3832, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2320, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(1.0648e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1834, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5642, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1710, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8034, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1777, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.9116e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6395, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3052, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.4333, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.3324, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2096, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(8.1171e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3244, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5010, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0407, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6752, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2112, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(8.6279e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5913, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2579, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1300, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.4061, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1630, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(-0.5913, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.2579, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(-0.1300, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(0.4061, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(1.1630, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 2.0315e-05, 4.0638e-03, 1.0000e-02],\n", + " [ 8.1293e-05, 8.1327e-03, 2.0000e-02],\n", + " ...,\n", + " [-2.5672e+00, -2.0745e+03, 9.9973e+01],\n", + " [-2.3307e+01, -2.0681e+03, 9.9983e+01],\n", + " [-4.3622e+01, -1.9648e+03, 9.9993e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "results_test = ode_solver_train(10000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb new file mode 100644 index 00000000..b8ce686f --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb @@ -0,0 +1,715 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", + " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", + " ...,\n", + " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", + " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", + " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:43:56.328236\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "tags": [ + "outputPrepend" + ] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "ad=True), 'w': Parameter containing:\n", + "tensor(0.9047, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(0.0730, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2699, requires_grad=True), 'b': Parameter containing:\n", + "tensor(-0.1399, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.4409, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.9334, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.9002, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(0.0748, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2592, requires_grad=True), 'b': Parameter containing:\n", + "tensor(-0.1308, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.4554, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.9225, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.9166, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(0.0563, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2477, requires_grad=True), 'b': Parameter containing:\n", + "tensor(-0.1236, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.4682, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.9149, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.9371, requires_grad=True)}\n", + "Epoch: 50\t Loss: tensor(0.0585, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2367, requires_grad=True), 'b': Parameter containing:\n", + "tensor(-0.1207, requires_grad=True), 'd': 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"tensor(0.8727, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.0658, requires_grad=True)}\n", + "Epoch: 97\t Loss: tensor(0.0191, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1399, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.0334, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0474, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8644, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.0717, requires_grad=True)}\n", + "Epoch: 98\t Loss: tensor(0.0189, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1349, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.0356, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0548, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8555, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.0754, requires_grad=True)}\n", + "Epoch: 99\t Loss: tensor(0.0188, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1319, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.0416, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0651, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8485, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.0743, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=100\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(0.1319, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.0416, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(-0.0651, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(0.8485, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(1.0743, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# \"b\", \"d\", \"g\" differ by at most 0.1. \"a\" differs by 0.1094.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [0.0000e+00, 8.4848e-03, 1.0000e-02],\n", + " [8.4848e-05, 1.6975e-02, 2.0000e-02],\n", + " ...,\n", + " [ nan, nan, 9.9973e+01],\n", + " [ nan, nan, 9.9983e+01],\n", + " [ nan, nan, 9.9993e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "results_test = ode_solver_train(10000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:49:21.214103\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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JCBEAIBkhAgAkI0QAgGSECAB0QoUopF5CRAgRACAhIQIAJCNEAIBkhAgAkIwQAQCSESIAQDJCBABIRogAAMkIEQAgGSECACQjRACAZIQIAJCMEAEAkhEiAEAyQgQASEaIAEAnliWeX4gAAMkIEQAgGSECACQjRACAZIQIAJCMEAEAkhEiAEAyQgQASGafhEhzc3Mce+yxUSgUYuPGjftiSgCgA9gnIXLttddGv3799sVUAMCnUUi9gA/lHiK/+c1vYvny5bFw4cK8pwIAOpiyPO/8zTffjKlTp8YjjzwSPXr0+K/jm5ubo7m5uXS5qakpz+UBAInl9opIlmVxwQUXxLRp02L06NGf6jZ1dXVRUVFR2qqrq/NaHgDQDrQ5RObMmROFQmGP27p16+L222+PpqamqK2t/dT3XVtbG42NjaWtvr6+rcsDADqQNr81M3369Jg8efIex9TU1MT8+fNjzZo1USwWW103evToOOecc+L+++/f7XbFYnG38QDA/qvNIVJVVRVVVVX/ddxtt90W8+fPL11uaGiIU089NZYuXRrHHXdcW6cFAPZDuZ2sOmDAgFaXe/bsGRERQ4YMif79++c1LQDQgfhmVQAgmVw/vvvvampqIsuyfTUdANABeEUEAEhGiAAAyQgRACAZIQIAJCNEAIBkhAgAkIwQAQCSESIAQDJCBAA6sdRfNipEAIBkhAgAkIwQAQCSESIAQDJCBABIRogAAMkIEQDohAqpF/AvQgQASEaIAADJCBEAIBkhAgAkI0QAgGSECACQjBABAJIRIgBAMkIEAEhGiAAAyQgRACAZIQIAJCNEAIBkhAgAkIwQAQCSESIAQDJCBABIRogAAMkIEQAgGSECACQjRACgE8sSzy9EAIBkhAgAkIwQAQCSESIAQDJCBAA6oUKhkHoJESFEAICEhAgAkIwQAQCSESIAQDJCBABIRogAAMnkGiI1NTVRKBRabbNnz85zSgCgAynLe4J58+bF1KlTS5d79uyZ95QAQAeRe4j06tUr+vbtm/c0AEAHlPs5IrfeemtUVlbGscceGwsWLIidO3d+4tjm5uZoampqtQEA+69cXxGZMWNGjBw5Mg4++OBYu3Zt1NbWxtatW+NHP/rRx46vq6uLuXPn5rkkAKAdafMrInPmzNntBNT/3NatWxcRETNnzoxx48bFMcccExdffHHcddddce+998bbb7/9sfddW1sbjY2Npa2+vv7/79EBAO1am18RmT59ekyePHmPY2pqaj52/1e+8pWIiNiyZUtUVlbudn2xWIxisdjWJQEAHVSbQ6Sqqiqqqqo+02QbNmyIiIjDDjvsM90eANi/5HaOyJ///OdYs2ZNjB8/PioqKuLJJ5+MmTNnxhlnnBEDBgzIa1oAoAPJLUSKxWIsXbo05s6dG83NzTFw4MCYOnVqXHvttXlNCQB0MLmFyMiRI2PNmjV53T0AsB/wWzMAQDJCBABIRogAAMkIEQAgGSECACQjRACgE8uytPMLEQAgGSECACQjRACgEyqkXsC/CBEAIBkhAgAkI0QAgGSECACQjBABAJIRIgBAMkIEAEhGiAAAyQgRACAZIQIAJCNEAIBkhAgAkIwQAQCSESIAQDJCBABIRogAAMkIEQAgGSECACQjRACAZIQIAJCMEAEAkhEiAEAyQgQASEaIAADJlKVeAACw732+b6+4YvyQqKksT7oOIQIAndCwz1XEsM9VpF6Gt2YAgHSECACQjBABAJIRIgBAMkIEAEhGiAAAyQgRACAZIQIAJCNEAIBkhAgAkIwQAQCSESIAQDJCBABIpl3/+m6WZRER0dTUlHglAMCn9dHf7Y/+ju9Juw6RHTt2REREdXV14pUAAG21Y8eOqKio2OOYQvZpciWRlpaWaGhoiF69ekWhUNir993U1BTV1dVRX18fvXv33qv3zX/n+KfnOUjL8U/L8c9XlmWxY8eO6NevX3TpsuezQNr1KyJdunSJ/v375zpH7969/U+YkOOfnucgLcc/Lcc/P//tlZCPOFkVAEhGiAAAyXTaECkWi3HTTTdFsVhMvZROyfFPz3OQluOfluPffrTrk1UBgP1bp31FBABIT4gAAMkIEQAgGSECACTTKUPkzjvvjEGDBkW3bt1i1KhRsWrVqtRL2i/V1dXFl770pejVq1cceuihMXHixNi8eXOrMVmWxZw5c6Jfv37RvXv3OOmkk+K5555LtOL9W11dXRQKhbjqqqtK+xz//L322mtx7rnnRmVlZfTo0SOOPfbYWL9+fel6z0F+/vnPf8YNN9wQgwYNiu7du8fgwYNj3rx50dLSUhrj+LcDWSfz4IMPZgcccEB2zz33ZM8//3w2Y8aMrLy8PHv11VdTL22/c+qpp2aLFy/Onn322Wzjxo3Z6aefng0YMCB79913S2NuueWWrFevXtnDDz+cbdq0KTvrrLOyww47LGtqakq48v3P2rVrs5qamuyYY47JZsyYUdrv+OfrnXfeyQYOHJhdcMEF2V/+8pds69at2e9+97tsy5YtpTGeg/zMnz8/q6yszH71q19lW7duzR566KGsZ8+e2Q9+8IPSGMc/vU4XIl/+8pezadOmtdo3dOjQbPbs2YlW1Hls3749i4hs5cqVWZZlWUtLS9a3b9/slltuKY35xz/+kVVUVGR33XVXqmXud3bs2JEdccQR2YoVK7Jx48aVQsTxz991112XjR079hOv9xzk6/TTT88uuuiiVvvOPPPM7Nxzz82yzPFvLzrVWzM7d+6M9evXxymnnNJq/ymnnBJPPPFEolV1Ho2NjRERccghh0RExNatW+ONN95o9XwUi8UYN26c52MvuuKKK+L000+Pr371q632O/75e/TRR2P06NExadKkOPTQQ2PEiBFxzz33lK73HORr7Nix8fvf/z5eeOGFiIh4+umnY/Xq1XHaaadFhOPfXrTrH73b2956663YtWtX9OnTp9X+Pn36xBtvvJFoVZ1DlmUxa9asGDt2bAwbNiwionTMP+75ePXVV/f5GvdHDz74YDz11FPx5JNP7nad45+/l19+ORYtWhSzZs2K7373u7F27dr49re/HcViMaZMmeI5yNl1110XjY2NMXTo0OjatWvs2rUrFixYEGeffXZE+DfQXnSqEPlIoVBodTnLst32sXdNnz49nnnmmVi9evVu13k+8lFfXx8zZsyI5cuXR7du3T5xnOOfn5aWlhg9enTcfPPNERExYsSIeO6552LRokUxZcqU0jjPQT6WLl0aDzzwQPzkJz+JL3zhC7Fx48a46qqrol+/fnH++eeXxjn+aXWqt2aqqqqia9euu736sX379t2KmL3nyiuvjEcffTQef/zx6N+/f2l/3759IyI8HzlZv359bN++PUaNGhVlZWVRVlYWK1eujNtuuy3KyspKx9jxz89hhx0WRx99dKt9Rx11VGzbti0i/BvI2zXXXBOzZ8+OyZMnx/Dhw+O8886LmTNnRl1dXUQ4/u1FpwqRAw88MEaNGhUrVqxotX/FihUxZsyYRKvaf2VZFtOnT49ly5bFY489FoMGDWp1/aBBg6Jv376tno+dO3fGypUrPR97wcknnxybNm2KjRs3lrbRo0fHOeecExs3bozBgwc7/jk74YQTdvvI+gsvvBADBw6MCP8G8vb+++9Hly6t/8x17dq19PFdx7+dSHiibBIffXz33nvvzZ5//vnsqquuysrLy7NXXnkl9dL2O5dddllWUVGR/eEPf8hef/310vb++++Xxtxyyy1ZRUVFtmzZsmzTpk3Z2Wef7aNzOfr3T81kmeOft7Vr12ZlZWXZggULshdffDFbsmRJ1qNHj+yBBx4ojfEc5Of888/PPve5z5U+vrts2bKsqqoqu/baa0tjHP/0Ol2IZFmW3XHHHdnAgQOzAw88MBs5cmTp46TsXRHxsdvixYtLY1paWrKbbrop69u3b1YsFrP/+Z//yTZt2pRu0fu5/wwRxz9/v/zlL7Nhw4ZlxWIxGzp0aHb33Xe3ut5zkJ+mpqZsxowZ2YABA7Ju3bplgwcPzq6//vqsubm5NMbxT6+QZVmW8hUZAKDz6lTniAAA7YsQAQCSESIAQDJCBABIRogAAMkIEQAgGSECACQjRACAZIQIAJCMEAEAkhEiAEAyQgQASOb/AueFR0UBbgluAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Save results as .mat file" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Duffing_fit.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/torchts/nn/models/ode_duffing_equation.py b/torchts/nn/models/ode_duffing_equation.py deleted file mode 100644 index 8b8bc05e..00000000 --- a/torchts/nn/models/ode_duffing_equation.py +++ /dev/null @@ -1,197 +0,0 @@ -import torch -from torch import nn -from torch.utils.data import DataLoader, TensorDataset - -from torchts.nn.model import TimeSeriesModel - - -class ODEDuffingSolver(TimeSeriesModel): - def __init__( - self, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs - ): - super().__init__(**kwargs) - - if solver == "euler": - self.step_solver = self.euler_step - elif solver == "rk4": - self.step_solver = self.runge_kutta_4_step - else: - raise ValueError(f"Unrecognized solver {solver}") - - for name, value in init_coeffs.items(): - self.register_parameter(name, nn.Parameter(torch.tensor(value))) - - self.var_names = init_vars.keys() - self.init_vars = { - name: torch.tensor(value, device=self.device) - for name, value in init_vars.items() - } - self.coeffs = {name: param for name, param in self.named_parameters()} - self.outvar = self.var_names if outvar is None else outvar - self.dt = dt - - def euler_step(self, prev_val): - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - pred["x"] = prev_val["x"] + prev_val["x_"] * self.dt - pred["x_"] = prev_val["x_"] + (self.coeffs["g"]*torch.cos(self.coeffs["w"]*prev_val["t"]) - self.coeffs["d"]*prev_val["x_"] - self.coeffs["a"]*prev_val["x"] - self.coeffs["b"]*prev_val["x"]*prev_val["x"]*prev_val["x"]) * self.dt - pred["t"] = prev_val["t"] + self.dt - return pred - - # TODO: Implement - def runge_kutta_4_step(self, prev_val): - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - - k_1 = prev_val - k_2 = {} - k_3 = {} - k_4 = {} - - for var in self.var_names: - k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - ) - - for var in self.var_names: - k_3[var] = ( - prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - ) - - for var in self.var_names: - k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt - - for var in self.var_names: - pred[var] = ( - prev_val[var] - + ( - self.ode[var](k_1, self.coeffs) / 6 - + self.ode[var](k_2, self.coeffs) / 3 - + self.ode[var](k_3, self.coeffs) / 3 - + self.ode[var](k_4, self.coeffs) / 6 - ) - * self.dt - ) - - return pred - - def solver(self, nt): - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - - for n in range(nt - 1): - # create dictionary containing values from previous time step - prev_val = {var: pred[var][[n]] for var in self.var_names} - new_val = self.step_solver(prev_val) - for var in self.var_names: - pred[var] = torch.cat([pred[var], new_val[var]]) - - # reformat output to contain desired (observed) variables - return torch.stack([pred[var] for var in self.outvar], dim=1) - - def forward(self, nt): - return self.solver(nt) - - def get_coeffs(self): - return {name: param.item() for name, param in self.named_parameters()} - - - def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, scheduler_params=None): - """Fits model to the given data by comparing the whole dataset - - Args: - x (torch.Tensor): Original time series data - optim (torch.optim): Optimizer - optim_params: Optimizer parameters - max_epochs (int): Number of training epochs - scheduler (torch.optim.lr_scheduler): Learning rate scheduler - scheduler_params: Learning rate scheduler parameters - """ - dataset = TensorDataset(x) - n = dataset.__len__() - loader = DataLoader(dataset, batch_size=n) - - if optim_params is not None: - optimizer = optim(self.parameters(), **optim_params) - else: - optimizer = optim(self.parameters()) - - if scheduler is not None: - if scheduler_params is not None: - lr_scheduler = scheduler(optimizer, **scheduler_params) - else: - lr_scheduler = scheduler(optimizer) - - for epoch in range(max_epochs): - for i, data in enumerate(loader, 0): - self.zero_grad() - loss = self._step(data, i, n) - loss.backward(retain_graph=True) - optimizer.step() - if scheduler is not None: - lr_scheduler.step() - - print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) - print(self.coeffs) - - def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_size=64, scheduler=None, scheduler_params=None): - """Fits model to the given data by using random samples for each batch - - Args: - x (torch.Tensor): Original time series data - optim (torch.optim): Optimizer - optim_params: Optimizer parameters - max_epochs (int): Number of training epochs - batch_size (int): Batch size for torch.utils.data.DataLoader - scheduler (torch.optim.lr_scheduler): Learning rate scheduler - scheduler_params: Learning rate scheduler parameters - """ - dataset = TensorDataset(x) - loader = DataLoader(dataset, batch_size=batch_size) - - if optim_params is not None: - optimizer = optim(self.parameters(), **optim_params) - else: - optimizer = optim(self.parameters()) - - if scheduler is not None: - if scheduler_params is not None: - lr_scheduler = scheduler(optimizer, **scheduler_params) - else: - lr_scheduler = scheduler(optimizer) - - for epoch in range(max_epochs): - for i, data in enumerate(loader, 0): - self.zero_grad() - - n = data[0].shape[0] - - if n<3: - continue - - # Takes a random data point from "data" - ri = torch.randint(low=0,high=n-2,size=()).item() - single_point = data[0][ri:ri+1,:] - init_point = {var: single_point[0,i] for i,var in enumerate(self.var_names)} - - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - - pred = self.step_solver(init_point) - - predictions = torch.stack([pred[var] for var in self.outvar], dim=0) - - # Compare numerical integration data with next data point - loss = self.criterion(predictions, data[0][ri+1,:]) - - loss.backward(retain_graph=True) - optimizer.step() - - if scheduler is not None: - lr_scheduler.step() - - print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) - print(self.coeffs) - - - def _step(self, batch, batch_idx, num_batches): - (x,) = batch - nt = x.shape[0] - pred = self(nt) - return self.criterion(pred, x) From a5757c42a3adfe3f7ea69e857c153802a7dfc1b7 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Mon, 23 Aug 2021 22:40:57 -0400 Subject: [PATCH 34/73] Added tests for cosine --- .../Cos_wt_fitRandomSample.ipynb | 325 ++++++++++++++++++ .../Cos_wx_fitRandomSample.ipynb | 267 ++++++++++++++ 2 files changed, 592 insertions(+) create mode 100644 examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb create mode 100644 examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb diff --git a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb new file mode 100644 index 00000000..0ff37548 --- /dev/null +++ b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb @@ -0,0 +1,325 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"w\": 5.}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0100, 0.0100],\n", + " [ 0.0200, 0.0200],\n", + " ...,\n", + " [-0.0806, 9.9701],\n", + " [-0.0713, 9.9801],\n", + " [-0.0619, 9.9901]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,1], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.5049, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.9310e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.2897, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(3.4833e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(0.8742, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0002, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.6155, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(2.6926e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.2879, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(1.4539e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.0547, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(2.4550e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.0661, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(9.2919e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.2288, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(5.5473e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.8533, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.4368, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'w': Parameter containing:\n", + " tensor(2.4368, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Predictions for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0100, 0.0100],\n", + " [ 0.0200, 0.0200],\n", + " ...,\n", + " [-0.3032, 9.9701],\n", + " [-0.2965, 9.9801],\n", + " [-0.2896, 9.9901]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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ijSq/Fytbi2sJMBPrFtTD65HQE42jNzqh0QhJKVC8mIQ46NZ1ll4L5EKWNdciHPIhnsritT7eUDGDrqFxDI+nEPB6sKqt8s7mG3jYmY747tctqK/4vTZ0zlPfkzdUzGF/dxSAknDrK7G+y4XUBH1Y1aYIoBdODVc6NFIGFC8m8eJpZSFdqsHG6PFIWN+pvM8+xmBNQRx0qzvqEPBVvqw2qKFAzqcZZLIyXj6jrNF1ubVVCRe11qI64MVoIs3KrCYh2rBoYTACBXkvDB2ZAsWLCSghBmVjXK/BxggUHnbDmrwfKQ0xn+sWaLMxbsj9Ll7piSGeymjynqR4jvaPYjyZQU3AW/aV2kJ8Xg/Wzld+GxSk5nBA9XbXa/J+heF6YjwULyZw6tw4ohMpBHwerGyrLPYqUMMMXEimoIYBNfCkAcCCeVVoqg0inZXxSk9Uk/ckxSOs9LULIvCWUSl5OmhgmEc8lcHBXqUmi1ZrVIjRV3tjDAWaAMWLCQgL4OL2upJ7a8yE6KNzYnAMY4m0Ju9JiiOdyeIlDUMMACBJEtbOV3JnXmEhLMPZr7GVDuS9ci9TjBrOq70xpDIymmoDWDCvtAa4M7GkqRZVfi/GkxmcGGQo0GgoXkzgQLe2IQYAaA4H0RIOQpaB1/p42BnJkf5RxFNZhIO+iorTXcglOUH6yhnOp9EIz8t6jax0ID+fh/tGkeKtQEM5UJB8XUkNpkK8Hkm9Ffgy16jhULyYgAgxaJGsW8glHbTUzaAwxFBOM8aZUOezl5a6kcRTGfXW3qUael46G6oQDvqQzGRxtJ+WupFoeUGikDWqeOEaNRqKF4PJZGVVXGiV9S4Qlh0XkrGIMMBaDT1pAC11szh8dgSZrIyGmgA6IiHN3leSJKymgWEKIt9FGARaccl8hgLNguLFYE6dG8NEKoOQ34MlTZXfYihkDXMkTOG1XsVKv7hd242xs6EK4ZBiqR85S0vdKMRBt7o9rFmIQZD3jvKwM4pEOqN6ulZrLF5E0u4rZ2LIMmnXUCheDEa4o1e21Wl2i0GgWupnR5BM01I3gmxWVud0tcbiRZIkVRDxsDOOgzkxqkWxwQsRa5TdiI3jaP8o0lkZdSGfpp40AFjeUouAz4ORRJqtPAyG4sVgVKtOoyvShSyYV4W6kA+pjIwj/ay0awRnhicwmkgj4PVgiYbJugI1aZeHnWHkPS/aixchRl/tjbHppkEIMbq6vU5zT5rf61H3coaOjIXixWDyVp324kWSJN5QMZhXcwfditZaza69FyLCDLTUjUGW5UlhI61Z0VqLgNeDkXga3UPsiWMEeopRALiYBoYpULwYjLjGvEqnhaQedr1cSEYgNkY9QgwAcMn8/Hwypq4/PdE4YvE0fB4Jy1u0zUkDFEv9ojblfRkKNAaxRrXOSRMIkXvkLL3dRkLxYiCxeAqnzyvW1mqdDjtRsfcQGzQawmuqS1p7Kx1Qmm76vRJGE2mcGaalrjev5Q665S21CPq8unyGOEQP0sDQncmeNH323ItyHaoPUbwYCsWLgQhB0REJIVLt1+UzhHhhzosxHOzTd2P0ez1YmruVxjnVn7wnTR8xCuQPu8O8QaY7Z2MJnB9PweuRsKJVe08akJ/P7qEJVjc3EIoXAxFWnV4hIwCqq3twNIlzowndPocAY4k0Tp1Tbhjoeti18bAzisLkTr1QxQvFqO4I42JpUw1Cfn08aQ01ATSHgwCUm57EGCheDORVHZN1BdUBHxY2VAPgYac34op0SziIxtqgbp9zUU6QHmYoUHf09qQBefFy6tw4Eml2DNcT4e3W02AEgJWqN41r1CgoXgzkkM7JuoKLcu5RLiR9Ed+vVp3BZ2IFLXVDSKQzqidNzzltrQsiHPIhk5VxfGBMt88hUIs7XqRD8nUh+VxDGoxGQfFiELIs40iuyuNFOsVeBRfRCjAEUbVzRYu+4kVsjEf7R3njSEdODo4jk5URDvrQEtbPkyZJEteoQRzNCX698l0E9LwYD8WLQQyMJDAST8MjQZdiZoVwYzQGIUb1uFJbyMKGagR9HsRTWXSfZxVPvRBidHlrrebFzC5EGDBs+6Afsizn51TnNSry0njjyDgoXgxCLCLlINIncUxQeJuBVTz145jwvOhs1Xk9EpY1K5/BK/D6IW5zrdD5oFM+gwaG3vRG4xhLZuDzSFjUqK/BKH4zAyMJDI0ldf0sokDxYhBGWekAsLS5Bh4JiE6kMDDCG0d6MFZQd2V5s/5zmr8CT0tdL4xco8LA4Hzqh/hulzTV6FL9upCaoA+dDVUAaGAYBcWLQQjPyzIDNsaQ34vFudAU3Zj6cGxAmc/GmgDm1QR0/7wVTMLWnWMG5TABUKvsnjw3hniKN470QFS8NUKMAvnfjdgbiL5QvBiEUcmdgotaRMlqLiQ9MCqWLriohbVe9CSdyao3f4yY0+baIOqr/ZDl/G+JaEt+zzVmjS5rVgxG3iAzBooXgzg6YOxhtzS3kE4MciHpgZEhhsLPOTHIG0d60H1+AslMFiG/B/Prq3T/PEmS1EOVlro+5BOwjTEYlzZzPo2E4sUAouP53BOhzvVGLKTjg1xIemC052XBvCr4vRLiqSx6Y3FDPtNNiBDDsuZaeDz63jQSiLYPtNS1p7A0hXGeF4oXI6F4MYCjA8rG2FYXQjikT0+jCxHXsbkx6oOR+REA4PN61MrJJzinmiM8o0YddACwhN5R3RgYTSA6kTKkNIVAeLvPDE8wj8kAKF4MwGgrHch7eHqjcYwn2SxMSxLpDE6eMy4/QrCkid40vTh61vg1Kg5VihftEXtuZ0O1bj2NLqSxJoBIlZLHxDnVH4oXAzBDvNRXB9CQuwXDhaQtp86NIysDtUEfWuv0q8R6IUwI1I/juTWy1IBr74L8fLIek9acHFSKOS41yOsCKHlMYk4ZOtIfihcDEOLBqHwXAUNH+iDmc0lTje6VWAsRbunjFKOaUzinRtHZUA2PBIwlM6zHpDEnct7JxQbOJ1CQa8g9V3coXgxAbIyGLySKF10waz7VsBGtOk05P5ZEdCIFAFiscyXWQoI+LzpzeUzHuEY15YQJnheASbtGQvGiM5msjO4hpRKrkRsjwBtHenFSWOmN1YZ+LhMC9eFELn+pPRJCVcCY/AgB8170wTzPC8NGRkHxojM9w0r9iIDXgw4D6kcUspQ5ErqghhgMDgM21gQQDvkgy0reDdEGcXvLaOMCKLwuzcNOKzJZGV1DyvowMgwI5D0vxwfGmMekMxQvOiPyExY2VsNrUP0IwdICq44LSTvETSOjDztJkgpi6jzstELMp9FitPAz6XnRjjPnJ5DKyAj4POiIGGswLsrt8+PJDPpYj0lXKF505qQJiYCChY1KQuBoIs2EQI0YS6RxNqZ8l2bM6bImJu1qzXE1DGjefFK8aIcIky9urDas4KDA7/VgwTxFMNE7qi8ULzpjxi0GARMCtUdY6fOq/aiv1r8h44XwBpn2nDQpARvIe166hsaRymQN/3wnos6nCWIUABblPvfUOa5RPaF40RmzQgwC9bBj0q4miPoRZhx0AJOwtUaWZVO9o63hEKr8XqSzMrqHaKlrgVk5aYLFuUT+k/S86ArFi87krTpjb6YIREIgS8prg5ofYbIYZZhBGwZGEhhLZuCRoLZfMBKPR6I3TWNO5ESDWWuUnhdjoHjRkVQmi+7zyjVpM6w6gAmBWmNmGLDwc4fHUxgaS5oyBich5nPBvGoEfOZsh1yj2iKuSZu1RlXPyyA9L3pC8aIjp89PIJOVUeX3ojUcMmUMi3LW5Cm6pDXBrAJ1gqqAF211ym+Jll3lqGFdk+YTKLgVyPmsmEQ6gzMmG4yFnhfe8tQPihcdESGjRSZkvQsW5ayArqFxZLNcSJViZn6EYGHBnJLKOG5SwcFCRLiqizkSFdM9pPQdqwl40Rw2ru9YIZ0NVZBybR8GR+kd1QuKFx05boGDrqO+Cl6PhGQ6i7MjrDtQCbF4CudyoRozLXXVm8bDrmKsIEZVS32InpdKOVGQUG9k37FCgj6vWl+G3lH9oHjRETOvYAr8Xg/m5yr70rKrDDGfzeEgaoM+08YhvGkUL5Vj9u0xID+fPcNxXpeuELPaAlyIuKDBG0f6QfGiI2bfTBGohx3DDBVxwsRiZoWI2j1dtNQrQpbl/Bo18bBrrg0i6PMgk5XVfA1SHiKUutjEMCDAG0dGQPGiI1ZIBgQYU9cK8f0ttMzGyPmshIGRBBLpLDwSDO87VojHI+XXKA2MiujKNcE149p7Iaz1oj8ULzqRzmTRM6zkmJi9kOh50QZxsCwyez5zn98/ksBEkt2ly0XMZ0d9Ffxec7dCrlFtEIX+Os1eo/S86A7Fi070RuPIZJXmYC0mZb0LFjbkSpBzIVVE93lrbIz11X6EQ0rOjRgTKR0hXsw2LpQxcI1WSiYr4/R5a8ypqKjOprj6QfGiE2JjXDCvyrRr0gJaddrQnXNJmy1eJEli0q4GWEm8cD4rpy8WRyojw+eR0G5wN+kLEb+pkXgaw+MpU8fiVChedKLbQhujGMPweArRCS6kckims+iJWiOeDgCLGuiWrhSriFGAtXu0oLvAYPSabDAWFpM8yTWqCxQvOmElq64m6ENTrRK6YtJuefQMT0CWgSq/F021xneTvhAedpVjlfwIAJMSdhlmKI8uC80nQG+a3lC86IToadQ5z2ILiddryyK/MVaZVvyqEBaqqxwrGRgL5ilVWcdZlbVsrOTtBvIiit3C9YHiRScsZwXwsKsIdT4tIkZ5tbYy4qkM+mLWuA0ITK7Kyvo95WG1PVfsFUyq1weKF53oLrDUrYAaZqB4KQsrhRiA/HyePj+ODHtWlczpnGe0NujDvGq/yaNRWEgDoyKs5EkD8nu/yK0i2kLxogOjiTSGcj1wrHLYMWxUGd0WuYIpaI9Uwe+VkMrI6Bnm5lgqhdferRAGBJgjUSmWDRvR86ILFC86IBZRfbUfdSGrWHWijgQXUjlYzSXt9Uh5tzRDRyWjetLmWcMzCjAJuxLGk2k1V8gqa3RB7rfVG40jzZ5VmkPxogNWc18CeRdmXyyOZJoLqVTU1gAWmtOFrN9TNpacTzVsRO9oqYjQTKTKj0iVNQzG1nAIAa/Ss6o3Gjd7OI6D4kUHrJYfAeSbv2VloI8LqSSi4ynE4mkA1slhAvKWHZv5lY5qYJjcp6oQIV5Ocz5LxooGo8cjYX5ujTJ0pD0ULzrQbbGbKYBSlVUcdqe5kEpCbDxNtQFUB3wmjybPgnn5pF1SGlYLAwL5+ewfSSCeYs+qUrCieAHyBsZpJu1qDsWLDogaL9ZbSEwgKwcrHnRAwcZIS70kZFlWvzMrGRjzqv2oDngBgEnYJWJFbzfApF09oXjRgS6LXZMW8LArD+tadQwzlMP58RRGE0oYcIGFEnYne0c5p6Vg1T2XSfX6QfGiMbIsW+7KnoCHXXlYMQwI5G/KnB2JI5FmmKFYxEHXVhdCyO81eTST4RotD+vuuRSjemGIeLn33nuxZMkShEIhbNy4EU888cSMz/35z3+Ot73tbWhubkZdXR02b96M//qv/zJimJowMJJAIp2FRwI66q1lBTDnpTys6nlpqAmgyu+FLAO9w0zCLharzifANVoOsixbdk4ZNtIP3cXLgw8+iO3bt+P222/Hvn37cNVVV+Haa69FV1fXtM9//PHH8ba3vQ0PPfQQ9u7dize/+c24/vrrsW/fPr2HqgliESlFxKzl2KIVUB5WjacXhhm4ORaPVecT4BotBysbjKp3NMYkbK3R/XS9++678YlPfAKf/OQnsXr1auzatQudnZ247777pn3+rl278Hd/93e47LLLsGLFCtx1111YsWIFfvOb3+g9VE2wauwVyG/WrPVSPJmsjDO55EkrzikPu9KxWuuOQniDrHSEcLeiwdhQE1CTsM8wCVtTdJ3pZDKJvXv3YuvWrZMe37p1K5566qmi3iObzWJkZAQNDQ16DFFzRLEkq7kvAaCxJoCQ36OEGaJcSMXQF4sjlZHh80hoj/CwcwJC6C2wWA4TQDFaDuK7mm+h5GuBJLEStl7oKl4GBweRyWTQ2to66fHW1lb09fUV9R5f//rXMTY2hve///3T/nsikUAsFpv0ZybiELHixqiEGZgQWAqiAFx7fQhejzV64BTCw650hAU832IhBoC1XspBFaMWnE+goEEj16imGOJju7DxmSzLRTVD+8lPfoI77rgDDz74IFpaWqZ9zs6dOxGJRNS/zs5OTcZcLlbeGIH8YUcroDjODCvfk3Xnk2K0FLIFYUArXZMWsNZL6ah7rgXnEyhYo9xzNUVX8dLU1ASv1zvFy9Lf3z/FG3MhDz74ID7xiU/gP/7jP/DWt751xufddtttiEaj6l93d7cmYy8X6y8kWuqlIDwv8+ut50kDeDulVAbHEkjmkjvbIiGzhzMF1nopnTPnrStGAe65eqGreAkEAti4cSN279496fHdu3djy5YtM77uJz/5CT760Y/ixz/+Ma677rpZPyMYDKKurm7Sn1lks7J6ZdX6ljoPu2Kwixg9G0uw1ksRiIOutS5kueROAb1ppZH3dlvTwOB1aX3QvVHLjh07sG3bNmzatAmbN2/G/fffj66uLtx0000AFM/JmTNn8O///u8AFOFy44034hvf+AauvPJK1WtTVVWFSCSi93ArYmA0gWTGulYdkC+0xo2xOM7kxKhV4+mi1stEKoOe4TiWNNWYPSRLY/WwLkBvWinIspz3jlrUwGDCrj7obnp84AMfwK5du3DnnXdi/fr1ePzxx/HQQw9h0aJFAIDe3t5JNV++/e1vI51O4zOf+Qza29vVv1tvvVXvoVaMEARtlrbq6MIshTO5A8Rq9SMEbLhZGlY/6ACu0VI4P57CRC6xud2qBmMuYbewLQWpHENa5N588824+eabp/23H/zgB5P++09/+pP+A9IJq4cYgIIwQ66kfNBnrfLoVkKWZdvM6ZH+UfWaPpkZe3heGNotFiFGm8NBy7V6EIRDftSFfIjF0+gZnsBFrWGzh+QIrOkesCk9NtgYWVK+eIbGkoinlGJ+VrXqgHxMnYfd3NDz4iysfhtQIDy3ZzinmkHxoiF22Bh5m6F4hJVuZasO4GFXCnbyvLDWy9xYuUBdIWKNssqudlC8aIj4YVo1P0LAHIniyF+Ttvp80vNSLFa/Vguw1kspqDV7LL5GxZnA+dQOihcNsdthx6t7s2OHfBeAnpdiiU6kMJJLmLSygUHvaPHYwdsN5M8Eel60g+JFIwqTO61s1QE87IrF6mXHBQwzFIc46JRmeYbcVSgb1nopDjuEAQF6XvSA4kUjYhNp9Rqcla06ID8+JuzOjl08L/Oq/ajK5eT0RTmnM2GXgw5gaLdY7LJG8+KF61MrKF404nQu690OVl0HXZhFYZcwoCRJ6KhXbkPRspsZUbPH6vMJFBgYFKMzMpZIY3g8BcD6cyrEaF8sjnQma/JonAHFi0b0WLwtQCFijH2xODJZ2eTRWBe7WHUABWkxcD6dhfhu6kI+hEN+k0czO821Qfi9EjJZGWdHEmYPxxFQvGiEnay65nAQPo+ykPpHaNlNx2gijeiEPaw6ID9GuqVnxk5ho/n0pM2JCKnNn2fNnkaFeDwS2iOs9aIlFC8aYSerzuuR1N5L3Bynp8dGVh3AhMBisMvNFCA/n31Rekdnwi5hXQFDu9pC8aIRdqnxIsi7pWmpT0f+oLO+VQcUiJcoN8aZsJPnpSUcgtcjIZ2VMcAww7SctsntTgFDgdpC8aIRdrMC5tNSn5XTNjrogLxVx41xeuKpDAZHkwDscdh5PRLa6jins2G3PXcBxYumULxohF1qvAjowpwdO1RiLaQjkhejsswww4WI9VkT8CJSZf0wIJA/lHvpTZsWO4XqAYZ2tYbiRQMKrTq7WAFcSLNjpxADADWHKZ7K4nzu+ijJU5jvIkmSyaMpDhoYs2M3z4sQWZxPbaB40QBx0FUHvKivtodVx5yX2VFvj9nEqgv5vWiqDQLg5jgddhOjANDOG2Qzkkhn0J/LBbLLGi3sLE3vaOVQvGhAT8HGaBerjjkvs2O3BGwgf72WMfWp2OmmkYAJnjMjqoOH/B401gRMHk1xiNDuWDKD2ETa5NHYH4oXDbDjxtieCzNEJ1JqWwOikExn81adjcQLQ4Ezk/e82OP2GMBaL7NxxoYGY1XAqwotUZGdlA/FiwbY0SUdDvlRF1LaGPRyc5xEb3QCsgwEfR401drDqgMoXmbDjgYG53Nm7OgZBdjjSEsoXjTAjhsjQLf0TNjRqgMKa71wY7wQUf9GeDPsgJjP8+MpjCfpHS1EhI1EKMYuMFyvHRQvGmBHzwvAkvIzoW6MtptPhhmmI5uVcTamzGm7jQ67upAf4aDiHeUanYy4Pt5uIzEK0GDUEooXDRCdX+20MQJ0S8+E2BjF9WO7wPmcnsHRBFIZGR4JaAkHzR5OSXBOp0d4F+3meWExSe2geKkQWZbRp4oXHnZOIL8x2nM++0cSSKazJo/GOoj5bK0Lwee115YnPAssVDcZkadnN8/LAtZ60Qx7rWQLcm4siWQmC0lSNkc7QStgevIbo72susaaAAI+D2QZapiEFMynzcQowHpMM2F3bzc7S1cOxUuFiPyIptogAj57fZ1qzgutukn02tSTJkmSOqcUpHmE58VuYhRggud0xOL58g4dNvO8zC/wjibSGZNHY2/sddpaEOHOtVuIAchbAX3RODJZVnwUCPFit4RdgCXlp6NPJHfazDMKcD6nQ4TpI1V+VAd8Jo+mNBpqAgjmjNw+3gqsCIqXChEHnd2SOwEledHrkZDKyBgcTZg9HEswnkwjOqH0BrKb5wWY3KCRKNjZ88L5nEqPjcOA9I5qB8VLhYiQi91irwDg83rQVse8l0LEldTaoA/hkD36VBXCHImpiJwXO3tHe6JxZOkdBWDfsK5AJBnT81IZFC8Vkq8JYs+FRLf0ZNT6ETbdGJkjMZVeG3te2iIhSJLSsuLcWNLs4VgCuybUC9rqlHH3UrxUBMVLhfTZNOtdwOvSkxFi1K4bYzvF6CTSmax688qOnhe/14PWMOe0ELuWMhDQYNQGipcK6bG5pc5eG5Pptf3GmBejsswwQ/9IAlkZ8HslNNXaq0CdgLVeJtNr41A9kB83w0aVQfFSAZPKjtvUUme56snYfWMUCZ5jyQxiE+yHI+aztS4Ej8c+faoKYR7TZPLeUXsaGKp3lOKlIiheKmBwLF92vNVmZccFwsNAF6ZCj82TAasCXjTUKJ2wKUjtn9wJMI+pEFmWC7yj9jQwxG+RnrTKoHipAGEBtITtV3ZcQBfmZOxadrwQbo55VCvdpgcdQAOjkOhEChMppbibHctTAPnf4vB4ChNJFqorF3ueuBbBrg38ChEH3bmxJOIpLiS7lh0vRIydtxkKctLsLEYLrku7HZGb11ATQMjvNXk05VEX8qEmoIydBkb5ULxUQI/Nr0kDQH21HyG/8jNwez8cO5cdL0QIUnrTCkoZ2FqMivnkQWf3UgaAUqiuTfWOco2WC8VLBfTF7G+lS5Kkjt/tN47sXHa8kHxCIA87Jxx24qDrH0kglXF3t/AeB3hGgXwSNsVL+VC8VICdy1QXolp2MXcfdo6bT26M+ZogNr0NCABNNUH4vRJkWREwbkatlmxjzyhQkJfGPKayoXipACfkRwB5y87tnhcn3EwBmPMiSKazas8uO+eleTwSWut42AFO2nOZx1QpFC8VoFbXtbkV0MEbRwDsX3ZcUHjbyM2F6s7G4pBlIODzoDF3fdyudFCQAsiHAe3ueengjcCKoXgpk0xWVnNe7JwMCIDJYznsXnZcIKz0eCqL4fGUyaMxj0JPmiTZs0CdoI2HHQDneF6EgeR2g7ESKF7KZGAkgUxWhtcjodmmBeoEHSw/DsD+faoEIb9X9TS4WZA6IVlXkG8R4N75LCxQZ/c5Ze2eyqF4KRNxk6M1HITXpmXHBaLLqdutACfUBBGwH05BKQObi1EAaK9jEva5sSSS6SwkKe9dtCvCkxaLpzGWYBuPcqB4KZN8vov9N0bheXFzoTpZlh1RjVUgBKmbLfVeR4lRJniK9dlUG0TAZ++jKxzyIxxUyjG4eY1Wgr1/ASYi3H12vsUgiFSxUF1h2XG7u6QBtggA8p6XNgeIURaqy3tG7Z6TJqB3tDIoXsqk1yHJnYBSqK7D5YXqnFB2vBDmSOTrFjlhjQpvoJsL1am3AR0gRoG8qO516Z5bKRQvZeKU5E5Bm8sL1Yn/byd4XYDCIlju3RidFAZsrAm4vlBdr6ho7oAwIFB4Xdq9a7QSKF7KpMch9QYEbm8R0OOggw4o6Bbu0jBgPJXBubEkAGesUY+noB+OS2+oOKFPVSH5YpLunM9KoXgpk14HxdMBlpR30rVaIP//0TPszkJ14ndc5fciUuU3eTTa0O7yJGyxRp2QZwgUrFGXzmelULyUQTqTRf+Ic3JeACaPqSEGB1jpQP4qaSLtzkJ1hdfe7V6gTuD2NapefXfIGhXz6eYk7EqgeCmD/pEEsjLg80hoqrV3gTpBu8vjr/mbDM7wpLm9UF0+38UZBx3g7krYmays3oR0WmjXzXlplUDxUgbC8mmtC8Fj8wJ1Arc38+tzSOXOQtxsqefDgM446ICC/kYuPOwGRxNIZ2V4JKDF5hXNBWKvGUmkMRJ3n3e0UiheysBp7ksgv5CGXFiorrDseIcDig4K3FyozkmlDASq58WFSdiirlZrXQg+rzOOrZqgD3UhFqorF2f8CgzGadekAaVQXVWuvonbknaHxpJIpJXaGXYvO16Im3tW9TqoArYg73lx33w60TMK5I0lipfSoXgpAyf1wBFIkuTavBfx/+uEsuOFuDlHomfYWbfHgPx8Doy6r1BdjwPFKFBYj8l9grRSnLNTG4iaDOggKx1wb46EOOicFAYE3J0j4cQwYGNNAAGvB7LsvjYeanVdh+25otQGr0uXDsVLGeQrPTpnYwTcmyPR61CXdL5qsrvmczyZRnRCSYB0Sk0QQClU1xpRklXdFtp1YhgQyOdk8bp06VC8lIGwApxyrVbg1hyJXgfmMAEo6FflrkJ1IqG+NuhDXcgZBeoEolCd2yx1pzVlFLQz56VsKF5KJJnOYmBU6S3iJKsOKLDUXbaQeh3W6kHQUqdY6W4rVOfU5E7AvYXN8kUknWVgFFbCJqVB8VIiZ2NxyDIQ8HrUImBOIb+QXCZeHNbqQVBYqK7HRYddPqHeWfMJ5A0MN61RJ1Y0FxReknCTd1QLKF5KROQPtEWcU6BO4NZmfk51SQOFlrp75jTfwM958ylCgW6aT1HR3O91TkVzgdhzx5MZxOJpk0djLyheSsSJVzAFbixUly0sO+5ES92FORJOrK4ryF9/d48nzYkVzQVVAS/qq5W8LDfNqRZQvJSIU2+mAO4sVDc4lkAqo5Qdb3VI2fFCOlyYI9Hj4DXa4cI2HmpFcweKUYCtWcqF4qVE+hx6ZQ9wZ6E6EWJoCTun7HghbixUp9YEcVgCNuDOQnXCI+G0CxKCDrVQnXvWqBY4b7fWGbWgmUMXktsK1fU6sFpyIW4sVOfUq++AOwvV9ag3jZy5Rt2252oFxUuJiI3RaTdTBG4rVKdujA4Vo24rVDcST2E0oSQ+Ou3qO+DOQnVqKQOH7rntaj0md8ynVlC8lEg+GdB5GyPgvkJ1Tk7uBNxXqE6I7kiVH9UBn8mj0Yd2l5WUd3LdHqDwurQ79lytoHgpgUQ6g8HRJABn9UwpxG2F6pycgA1AtdLdUqjOybcBBe0uKynf48A+VYW0u/D6uxZQvJTA2ahSWTfo82BetbPKjgs6XObCdGIDv0KCPi+aat1TqM7pVjrgrjBDMp3FoEMrmgvU4qBRd3hHtYLipQR6CkJGkuSsegMCt+VI9Kk5TM7cGAF3edN6HHwbUNDuovl0ckVzgVif8VRWbShK5obipQT6HHyLQSA8L24oVJfJyqpIc2oyIOCuHAkRSmmvc64YdVOORGFFc6cajJPaeLjAm6YVFC8l0OPwa7UAUFflc02husHRBDJZGV6PhGYHFqgTuClHotcVnhf33Ah0Qw4TUOjxdv4a1QpDxMu9996LJUuWIBQKYePGjXjiiSdmff5jjz2GjRs3IhQKYenSpfjWt75lxDDnpNfhlR6BXKG6+nwM1smIjbE1HITXYWXHC2l3Ua0XpydgA3njaWA0gWTa2YXq3JDDBLgrj0krdBcvDz74ILZv347bb78d+/btw1VXXYVrr70WXV1d0z7/xIkTeOc734mrrroK+/btw5e//GV87nOfw89+9jO9hzonTq/0KHBLTN0N+S4AXFM1WZblfHVdB89pQ3W+UJ3otuxUnF5XS+C2EhVaoLt4ufvuu/GJT3wCn/zkJ7F69Wrs2rULnZ2duO+++6Z9/re+9S0sXLgQu3btwurVq/HJT34SH//4x/FP//RPeg91TvI3U5y7MQLucUu7IbkTcE+OxEgijbGkkqfl5Lw0j0dyTdsHtUCdw/dct8ynlugqXpLJJPbu3YutW7dOenzr1q146qmnpn3N008/PeX5b3/72/H8888jlTI3E9vJZccLccth54bkTmCyGHXyVUwRFquv9qMq4DV5NPrilsNO9Y46fI26sY1HpegqXgYHB5HJZNDa2jrp8dbWVvT19U37mr6+vmmfn06nMTg4OOX5iUQCsVhs0p8exFMZDI0pBeqc7JIG3JMj4RbPS2GhuvMOLlSnhnUdftABhc38nG1gOL1AnaDNJQajlhiSsHvhFTdZlme99jbd86d7HAB27tyJSCSi/nV2dmow4qmkszJuefNyfGBTJyJVzixQJ3BLjoRbkgELC9U5eXN0esHBQtpcENp1Q4E6QYdLvKNaoqt4aWpqgtfrneJl6e/vn+JdEbS1tU37fJ/Ph8bGxinPv+222xCNRtW/7u5u7f4HCqgN+vC3b1+Jv/+rSx1bb0Dgli6nbkjuFLihUF2vSxKwAXeEdt1QoE7gFu+olugqXgKBADZu3Ijdu3dPenz37t3YsmXLtK/ZvHnzlOf//ve/x6ZNm+D3T/V4BINB1NXVTfojldGe6yx9fjzl2EJ1mayMsyOKVef0HCbAHYXqVDHqgrCRG24EuqFAnWBSGw+HhwK1Qvew0Y4dO/Dd734X3/ve93Dw4EF8/vOfR1dXF2666SYAiufkxhtvVJ9/00034dSpU9ixYwcOHjyI733ve/i3f/s3/O3f/q3eQyU56qp8qM4lPDrVLT0w4o4CdQI3FKoTh53Tc5gAd4hRtxSoE7BBY2no3jP+Ax/4AM6dO4c777wTvb29WLNmDR566CEsWrQIANDb2zup5suSJUvw0EMP4fOf/zz+9V//FR0dHfiXf/kXvPe979V7qCSHJClXMY8PjKF3eAJLmmrMHpLmCHe70wvUCdyQhO2mw06EdgdzheoCPucVS3dLTpqgPRLCS2eijg4Faonu4gUAbr75Ztx8883T/tsPfvCDKY9dffXVeOGFF3QeFZmNjkiVIl4cagW4oYx8IYWda52ILMuuqK4rEIXqkpkszsbi6GyoNntImuPeNerMPVdrnCfXiSY4PSHQTcmdgPNvkI0k0hh3QYE6gRsK1Ym9xw1iFMiLNIaNioPihUyL060AkdzZ4ZKNUVwfdupVTDcVqBO4xcBwgxgFCvZcJuwWBcULmRZhBTi1CFavepPBHRtja10IkqTUzhDFFp2EmwrUCQoFqRNxUxgQcE9bFq2geCHT4vQwg9s8LwGfB021yq0qJ86pmwrUCdodXGW3sECde8RL/vq7E72jWkPxQqbF6VadWzpKF9LhYLe023KYgLx31Imh3cICdQ0OL1AnUL2jmSzOOdA7qjUUL2RahBUQnUhhPJk2eTTaUligzk2WupMTPN3mSQPyxficmPNSKEadXqBOMMk76uCSBlpB8UKmJRzyIxxUbtL3OGwhiQJ1Po+kbhZuIF/YzHmHXZ/LcpiAgjYeDlufgPtuGgk6HJ6ErSUUL2RGnNrpVBzerXUhVxSoE3Q4+LDrcaHnRTTzOzeWdFwbD7cl6wqYtFs8FC9kRvI3jpy1kNyY7wIUbozOEqOFBercNKf11X6E/MoWfjbmzDXqlgJ1gjaHF5PUEooXMiMdDl1IbiojX4jqeXGYVReLu6tAnUCSJNX74rTQrmvDRvXOb7ipFRQvZEac2ijMbT1TBGI+z8biyGadcxVTzKebCtQJ1LwXhxkYbitQJ3BDDzKtoHghMyI2RqddxXTrxtgSDsIjAamMrNbQcAI9qpXurvkEnJsj4d6cF2d6u/WA4oXMSEfEmVV23eqS9nk9aAk7T5C61ZMGOLOkvBsL1AlEjo/TvKN6QPFCZsSpdUHc1q22kPz1Wuccdr0uzWECnOl5UQvU+dxToE4wyTs65hzvqB5QvJAZEcljo4k0YvGUyaPRhnQmi/4Rd1p1QN6b5iTPi1tDDEBBaNdJYrRgPt1SoE7g93rQHGahumKgeCEzUh3wIVLlB+CchTQw6s4CdYJ8/xQnHnbu86QJMdrnoKvSbmyyWYgTvWl6QPFCZqXdYYXqxIbgtgJ1Aif2w3FrDhOQ97wMj6cwkXRGoTo3NtkspMOhN8i0huKFzIrTGjQKD5KbipkVopYfd0iYobBAnRtzmOpCftSKNh4OOezcWkRS0FbnrD1XLyheyKy0Oeywc7OVDjgvCbuwQJ17wwzOavvgxlYPhTi1mKTWULyQWclX2XXGQnJzcieQ96SdjcWRzmRNHk3lCDE6z4UF6gT5UKAzDAw3NtkspN2hJSq0huKFzIrT+uH0uTi5EwCaaoPweSRkZai3ruxMvqeRO+cTANrrnOZ5cbeB4TTvqF5QvJBZaXdYJ+Iel4eNvB4JreKwc4AgFb9Lt4YYAGe1CHBzgTqBCBudjcWRYaG6GaF4IbPSUXBtT5btv5Dc2q22ECfF1MWVb7cmdwKT16jdEd2x3VigTtBcqxSqS2ed1cZDayheyKyIQ2EilUF0wt6F6tKZrLo5utWqA5zV/K3H5TlMgLM8L24uUCfweT2qd9RJxQe1huKFzErI71UtoB6bH3YDowlkZbi2QJ3ASc3f3J7DBDhLjLq9QJ0gX0zS/nOqFxQvZE6cUqhOiC+3FqgTOOlqrdtzmIB8GHAkkcaIzdt4uL1AnaDdgW08tIbihcyJUxaSm7sPF9Je74wbZLIsM4cJF7TxcMgadXMOE1BoYNh7jeoJxQuZkw6HdCLuZXInAOc0Z4xNsECdQA0F2nyNur1AnUA1MBzUs0prKF7InAjPi93jr3RJK4gEz8HRBJJp+xaq642xQJ3AKTkSbi9QJ6DnZW4oXsicOCXBk8mACo01AQS8Hshy/mqqHcn3qXL3QQc4p+Gm2wvUCdpZqG5OKF7InDhlIeU9L+7eGCVJckQVT3U+XX7QAc5ouMkCdXmEd7h/JOGINh56QPFC5qSws7SdC9XRUs/jhBtkLFCXp90BhepYoC6PaOORycoYYKG6aaF4IXPSWheCJCmW0bmxpNnDKYt0Jov+EVrqAiFI7Vy7hwXq8og8JjuHdkWyrpsL1AkK23jYeY3qCcULmZOAz6MWdbNrQmD/SL5AXaOLC9QJnOB5EWN3ewI2UNAiYNi+3lEhvOZzPgE4JwlbLyheSFF02PwqpmrV1bu7QJ2g3QmeF9GUkYedI9p45JN1OZ9AYXdpe+65ekPxQorC7gmeZ1SXNDdGIC9G+2L23BhlWVbnlJb65DYedl2jPep8MgwIOCO0qycUL6Qo8lV27XnYiQ2AB52C3fvhnBtLIpnOQpKg5ga4HbuHAtUCdVyjAArCRjY1MPSG4oUURb7Krj0Pu3x+BA86IL8xnhtLIp7KmDya0hEHXUs4iICP2xhQYGDYdI0yDDiZfNVke86n3nDVk6LIX8W0pxVAq24y9dV+hPzK8rdjQiDncyqqgcE16gjsvufqDcULKYr8xmi/gw4AztCqm4QkSQU9juy3OXI+p2LnUGAsnsJIIg2A3lGBuP7eP5JAioXqpkDxQopCbIxnY3Fks/a7itnD5M4ptNs4FMj5nEqHjWu9iPmcV+1HdcBn8misQVNNEH6vBFlWBAyZDMULKYqWcBAeCUhlZLWEt10YTaTV66MsaJbHzm5pdh+eip2r7PbymvQUPAWF6uzc9kEvKF5IUfi8HrSEhWVnr81RLPy6kA/hkN/k0ViHDhtff+9hh/ApFPYgs1uhujPMd5mWDhsLUr2heCFFkw8z2MsK4MY4PW023hiZ3DmVwjYeQzZr48EaL9PDQnUzQ/FCiiaf4Gmvw441XqZH7YdjMzGaSGcwkMsBoHjJU9jGw26ClGJ0eliobmYoXkjRqG5pmx123Binx64uaXG1O+T3YF41w4CF2LWNB2u8TI/wRJ2x2XwaAcULKRrRD8duhx3Fy/QIz0t0IoWx3DVVO1AYBnR79+ELsWvSLkO70zN/nvJ9nDlP8XIhFC+kaETY5bTNrID8xsh4eiF1IT/CQeVaqp0sdYYBZ8aOocBMVkZfjHM6HfPrqwHQ8zIdFC+kaBbY1AoQdS+4MU5FWHZ2EqT5a9KczwsRv3E7HXYDIwlksjJ8HgnN4aDZw7EUHQXe0VEbeUeNgOKFFI3YGAdHE7bph5PNymqOBF3SU1EPOxsJUoYBZ0Y1MGwkXsRYW+tC8HoYBiwkHPKjLmQ/76gRULyQoqmv9qM64AVgn4U0OJpAKiPD65HQQqtuCsLzYpf5BBgGnA01zGBDMUrP6PTMn2e/OTUCihdSNJIk2c4tLcbZVheCz8uf+4XYbT6BfDIqD7upCDHaP5JAIm0P72gPxeis2DXXUG+4m5OS6LBZmCF/BZMb43TY7TaDLMsMG83CvGo/qvyKd9QuPas4n7Mz34ZJ2EZA8UJKYr7NYurcGGfHbp6X6EQK40nFo9DGvkZTkCQpn4RtE0HKDuGzYzcDwygoXkhJ2O2wE+Nkw7fpERvj2VgcqUzW5NHMjZjPptoAQjkPA5lMfo2OmzyS4ujlbcBZ4XXp6aF4ISVht+vS7JkyO001QQR8HmTlfOVaK8NKrHNjN0ud3tHZsWNSvRFQvJCSsJvnRdR44cY4PR5PPgnbDmEG1niZGzsleI4n0zg/ngKQL7BHJiPy9eziHTUKihdSEsIK6IvGkcnKJo9mbmipz42dBCmt9Lmxk3dUrM9w0Ie6EPtUTYfdvKNGQfFCSqIlHILPIyGdlXE2Zu2FNJHMYGgsCYCH3WzYqVAda7zMDcWos7Cbd9QoKF5ISXg9kuretfrmKEJGtUGfWqWSTCV/g8z6CZ487ObGTt5RitHi6OB16SlQvJCSsYulXlj8it2HZ8ZOlroYowiNkKnYyTsq9pAFuSqyZHrstEaNguKFlEyHTRbSaW6MRWGXwoOJdAZnYwkAnNPZsJN39PR5xdtHMTo7dmz7oDcUL6RkFthGvHBjLIYF6lXMOLIWDjOI5M7qgBfzqpncORt28Y7SwCgO9bp01NrzaSQUL6Rk7FJHonuIIYZiaIuE4JGAZCaLwdGE2cOZkUIxyjDg7NilsFlevHCNzobIebH6nmskFC+kZOyzMSqHXSetulnxez1orbN+mIFWevHYoUVAIp3B2RHFm0bxMjsLCvZcWbaud9RIKF5IyRR6Xqy8kHjYFY8dEgIZBiweO4R2e4fjkGWgyu9FQ03A7OFYmrZICJIEJNJZnMuVf3A7FC+kZNpzDfEmUhm1OqbViKcy6B8RyZ087ObCDqFAhhiKJz+f1r3+XjifDAPOTsDnQUs4CMDaa9RIKF5IyYT8XjRbfCGJa9I1AS/qmdw5J3bwvHQPCc8LPWlzUTifVvWO0pNWGnZYo0ZC8ULKwuqdawtDRrTq5oaeF2chrkrHU1m1yrTVYFi3NObP43XpQiheSFnkxYs1i2DxoCsNq1t1k8OAPOzmIujz5sMMFp1Tel5Kw+pr1GgoXkhZWN1S58ZYGlZv5ifCgKzxUjzWX6P0vJSCHW6QGYmu4uX8+fPYtm0bIpEIIpEItm3bhuHh4Rmfn0ql8MUvfhFr165FTU0NOjo6cOONN6Knp0fPYZIysEvYqLOBG2MxiCq7I4k0ohPWS8JmcmfpWN1Sp3e0NDpV8WLNPddodBUvN9xwA/bv34+HH34YDz/8MPbv349t27bN+Pzx8XG88MIL+B//43/ghRdewM9//nMcPnwY73rXu/QcJikDseGIQnBWo5uel5KoDvjU66pWtNRppZeOlS111ngpHWGIdQ+NWzYJ20h0a7V78OBBPPzww9izZw+uuOIKAMB3vvMdbN68GYcOHcLKlSunvCYSiWD37t2THvvmN7+Jyy+/HF1dXVi4cKFewyUloi4ki1oBPOxKp3NeFYbGkug+P46LO+rMHs4kGAYsHVHrxYrihTVeSmd+fRUkCRhLZjA0lkRjbdDsIZmKbp6Xp59+GpFIRBUuAHDllVciEongqaeeKvp9otEoJElCfX39tP+eSCQQi8Um/RH9EVVrR+JpRC1W6yWeymCANV5KptCysxoMMZSOmE8rhhkYBiydkN+L1rByi6zbgoLUaHQTL319fWhpaZnyeEtLC/r6+op6j3g8ji996Uu44YYbUFc3vSW4c+dONacmEomgs7OzonGT4qgK5Gu9dFnssBMx/tqgD5EqJncWi7XFC2u8lMrC3Hx2WTDMQE9aeXQ2KN+X1fZcMyhZvNxxxx2QJGnWv+effx4AplXUsiwXpbRTqRQ++MEPIpvN4t57753xebfddhui0aj6193dXer/EikTkUBmtYVEq648Cg87q0HPS+nMn6eEGcaTGcuVlGdYtzysbGAYTck5L7fccgs++MEPzvqcxYsX48UXX8TZs2en/NvAwABaW1tnfX0qlcL73/9+nDhxAo888siMXhcACAaDCAbdHfszi4UN1Xiha9hyeS+06srDquKFNV7KI+jzoq0uhN5oHN1D42iyUI4E12h5iHC9FUOBRlOyeGlqakJTU9Ocz9u8eTOi0SieffZZXH755QCAZ555BtFoFFu2bJnxdUK4HDlyBI8++igaGxtLHSIxCKsedrTqymOhmoQ9gWxWhsdjDa8Va7yUT2dDNXqjcXQNjWPDwnlmD0eFa7Q8rLrnmoFuOS+rV6/GO97xDnzqU5/Cnj17sGfPHnzqU5/CX/zFX0y6abRq1Sr84he/AACk02n81V/9FZ5//nk88MADyGQy6OvrQ19fH5JJa7k9CbDAoi5MhhjKoz0SgtcjIZnOYmA0YfZwVBgGLJ+FXKOOIh82YsKurnVeHnjgAaxduxZbt27F1q1bcemll+KHP/zhpOccOnQI0WgUAHD69Gn8+te/xunTp7F+/Xq0t7erf6XcUCLGYNWNkQ38ysPn9aAj1xPHSpYdrfTysaKlzhov5SMSds8MTyCdyZo8GnPRrc4LADQ0NOBHP/rRrM8pzIJfvHix5bLiycwsVK9iTiCTleG1SJiBVl35LGyoRvfQBLrOjeOyxQ1mDwcACw5WghVvp5w+PwFZVsKArPFSGq3hEAJeD5KZLHqjcVdXEGdvI1I2rXUh+L0S0lkZvVFruDHHk2kM5kIebl7Y5WJFS73rnDKWhZzPkllowTCD+G0tbGDH91LxeKR8dXOXJ+1SvJCy8Xok1ZVvlc1RbIz11X7WeCkDdT4ttDGeGhoDACxqrDF5JPZDCPje6ASSaWuEGYQYXdRIMVoOvC6tQPFCKsJqC+mU2BhppZeF1fKYZFlW55Sel9Jprg0i5PcgK+dvbZmNukYpRstChAKtYjCaBcULqYhOi7kwhVXHkFF5WC1sFJ1IYSSeBkDxUg6SJFluTrtynjSu0fIQtV6sMp9mQfFCKsJqG2M+xMCNsRzEfJ6NJRBPZUweTd5KbwkHURXwmjwae2K1w47e0crI12OyxnyaBcULqQjLiRd1Y6RLuhzqq/2oDSqXEK3QjfjUEPMjKsVKoV1ZltW9gnNaHqz1okDxQirCagtJvcnAjbEsJEmy1GHXdU7xpC2kGC0bKxkY/SMJJNJZeD0SOup59b0cxPocHE1gPJk2eTTmQfFCKsJKCymdyeJMzltAq658FlqoNsgp3kypGCuFGcR8dtSH4Pfy+CmHSJUfdSHreEfNgr8eUhGRqvyVZLO9Lz3DcaSzMgI+D1rDIVPHYmesdOPo1BBvGlWK8EKKZHYzOZXzpDGsWxnCaLTCnJoFxQupmPzVPXMXkkjWXdhQbZmmgnak00JhBrVAHT0vZSOKmsXiaUTHU6aOhWFdbRCeyFMWWKNmQfFCKkZYxWYvJN5i0AariJd4KoO+mNIDh3NaPtUBH5pqgwDMn1M1WZfzWRGiRo7wZLkRihdSMSKZ0uyFRKtOGwoTPM3sNXY6l6NRG/SxB06FiDwm4Z00CxYc1IYlOfFyYpDihZCyWdpkjYWUj6dzY6yEznnV8EjAeDKDgZGEaeMoPOjYA6cy8pa6NTwvNDAqY3Fuzz1Jzwsh5WOVhcSy49oQ8HnUHkfHTRSkvGmkHUssYGCMxFMYGksC4BqtlMVNypo4c946PauMhuKFVEzhQkqkzanKWlj8ilZd5aiC1MTDjvOpHVaYTyFGG2sCaiFEUh7NtUHUBLzIyubnMZkFxQupmMKFZNaNo8HRJMaTGUhS/nYFKR81FGiiN+3UufztMVIZVgjtikOWPY0qR5Ik1yftUryQipEkSbXsTgyaI15Es7eOSBWCPvbAqZTFOW+HmZb6yZylvpghhooR6/PcWBLRCXOuSwvhJIQUqQwrhALNhOKFaILZbuljA8rnLuHGqAmLTd4YU5msaqkvbeacVkpt0IfmsHJd2qw1ejy3Rjmf2iDC9WbnGpoFxQvRBLPDDNwYtWVpUy0AJU8hmzX+unTX0DgyWRlVfi/a6lgtWQvE9VqzDrvjg6PKOHK/LVIZImx00iRvt9lQvBBNWNxoruflhLoxUrxogdJ7RkIinUVvrlCckZwo8KTxmrQ2iLUhhL7RCC8e16g2MGxEiAaYHWbIe15o1WmBz+tREytPmHDYCSudnjTtMLOkwdBYEsO51gQUL9ogDMaeqHm3PM2E4oVogtiQeqNxTCSNXUiZrKxew2QyoHaYGQpUxSjnUzPMtNSFZ7QjEkJVgAn1WtBUq1w5l0285WkmFC9EE+ZV59u0G12C/Mz5CSQzWQR8HnTU85q0VpgZChTF8ehJ045C8WJ02wd6RrVHueWZ8466MO+F4oVogiRJWJLbmIw+7I6JfJfGGnjZTVozzAwFMgFbexY1VkOSgJF4Wq10axTHme+iC4tMzjU0E4oXohlLGs2xAo7zmrQuLDHp+nssnsLgaGLSGEjlhPxedEQUz6TRgvQE16guqA0aXXhdmuKFaIZZtV5OMLlTF8RB0zU0jnTGuP4p4qBrDgcRDvkN+1w3YFbei1qgjmtUU8T3eax/1OSRGA/FC9EM9SrmoLELifF0fWirCyHk9yCdlXH6/IRhn8srtfqRz5EwTrxksrLqGVjKGi+asqIlDAA4NkDxQkjZLMuJh6MGWwEMG+mDxyOpBcWM3ByP5z5rGa10zRHzaWStl55hpfNxwOvBfPYd05RlLcoaGRxN4rzBeUxmQ/FCNGNZcy0kCTg/nsK5XM6C3owl0ujLFVHjYac9y1uUw+6IgYL0GD0vurEiN59HDRSjwsuzqLGaCfUaUx3wYX7uhqWRc2p0OYzpoHghmlEV8KodnY067MTGOK/aj/rqgCGf6SbUw85A8XJigCEGvRBi9OTgGFIG5TEJTxrFqD4sM3iNjiXSuPgrD2PLzj9iLJE25DOng+KFaMpyg0NHJ1gPRFeM9rzIspzPeaEnTXPaIyHUBLxIZ2WcMuiGynHOp64YbWAcHxiDLAOJdBY1QZ8hnzkdFC9EU1a0KglkRi0kkYvBSqz6IDbGY/2jhhQ2OzM8gYlUBn6vhIW59gREOyRJwvLcGj1y1pg1evjsCIB8cinRFqMNjKMDynwKj49ZULwQTTHa8yI24BWt9LzowaJc4b/RgtwiPREH3dKmWvi93J70QKxRow47sUYv4hrVheUFBoYRiL19OcULcRJGx18P5Q67i1pp1elBwOfB4lzxQSPm9DDFqO6I79aI+Tw3msC53C0Ysw87pyLE6JnhCUNyUNQ1SvFCnITYoPpiccTiKV0/K5nOqgXxKF70Q3VLGxBmOEwxqjsrDAwziIOus6EK1QHz8iOczLyaAJpqlcsKRpQ0EGt0ZZu5a5TihWhKpMqPlnAQgP5uzBODY0hnZYSDPrRHQrp+lpsRuQpGHHYMMeiPGmYYGEUmq28e05H+nBhlvouuGFVjazyZRleug/VKkw0MiheiOcsNCh2JkNGK1lpIEutH6IVRMfVsVlZ/MyvoedGNBfOqEfR5kExncfq8vn3I1GRdzqeuGLXnHu0fhSwDTbUBNNYGdf2suaB4IZpjlFv6CEMMhpC/zTCi642j0+eVm0YBrweLeNNIN7weSbXU9Q4FHqYnzRCMunF0qM86ey7FC9GclW11AIDXcj90vaBVZwzLW2rhyVVOHhjRr3KyetOouQY+3jTSFZG0e7hf3zUqPAFWOOycjAjt6u15sVJOGncIojmr2pUf9sHemK6fI6w6s2OvTifk96odww/qKEjFQWp2IqAbEN/xwV795nNwNIGhsSQkKZ+TQfThojbl+z11bkzX0v2HxJ5rgTVK8UI0Z2VrGJIEDIwkMKhTj6N4KqNWCKVLWn9WtyveND0FaT5Z1/yN0ekYMZ/CSl/YUI2qgFe3zyFASziEptoAsnI+F1APDjNsRJxMTdCn5iwc0slSPzYwiqys3G5qDpubOOYGVucsrdd0POzEb8Xs+hFu4OKceDk+MIp4Sh9LPT+f5h90bkBvQRodT6mFKq1gMFK8EF1Y1abvQhLu7pVtYd40MoD8xqiPGE2ms+q1WvFZRD9awkE01CiWul5Ju6/0KGv/4g7OpxHoLV5EWHd+fRXCIb8un1EKFC9EF/J5L/ocdq/0RAEAl3BjNIRVuY3x2MAoEmntLfUj/SNIZWTUhXxqZ3KiH5IkYbXOuWmv5sQL16gxiPkU37vWCK+rVapfU7wQXRBWwGt9+iykV9SNMaLL+5PJdERCqAv5kC6oxaIlhVY6PWnGILyjr+ogXgo9aRQvxpDfc0eQ1aH44MtnlN/JGovsuRQvRBdW5zbGI2dHkcpkNX3vbFbGwdxht2Y+N0YjUCx1/UJHr1KMGo6eYYbDZxVPWqTKj/n19KQZwbLmWgS8Howm0jh9fkLz93855+22yp5L8UJ0YcG8KtQEvEhmsjiR6z+kFV1D4xhJpBHweXgF00BUy06Hw45hQOMpDBtpXXxQeHMubqcnzSj8Xo8a0tHam5ZIZ9TbY1YxMCheiC54PJKaJyEOJq0QIYZVbWH4WczMMNSYusYbYzYr0/NiAstbauHzSIjF0+iNxjV9b+a7mINe3jTFg6540qySk8adn+jG2vnKQfTiaa3FC610MxDC4uUzUU1j6l1D4xhLZhDwebC0uUaz9yWzE/R51bLyL53Rdo2+yptGpiDEi9YGxstn8iEjq3jSKF6Ibqzr1Eu8iI2RVrqRrGwLI+DzIBZP4+Q57UKB9KSZx7oF9QCAF08Pa/ae2aysHp70pBnLpQuU7/tA97CmocB8vot15pM7BdGNS3Mb48tnopom7YrDbg2tOkPxez3qd66lIKUnzTzWddYDAA50azefXUPjGFVz0uhJM5I1HRF4PRL6RxJqQTktsNpNI4DihejIksYahIM+JNJZNdmrUvqicQyOJuCR8lc9iXEIQbq/e1iz9xQhC1rpxiO8owdOD2sWCjyQ8+Jc3F7HBpsGUxXwqr3eDmi0RtOZrJpDQ88LcQUej4RLNQ4d7e8+D0ARLuyXYjzrhaWuUZghm5Wxv0t5rw0L6zV5T1I8F7WGEfJ7MBJP44RGocB9nE9TEd60fRqJlyP9o0iks6gtaPtiBSheiK4IS10rK+AFboymIjbGV3pimoQCjw2MYiSRRpXfy+7gJqCEAvN5ElogDk0hdImxbFBDgcOavJ8Qo5cuiMDjsUayLkDxQnRGJAQe0Mjzsq9L8bxsWDhPk/cjpbG4sRp1IR+S6awmTTcLN0aGGMxBCFItQoGJdEYtIPk6rlFTEPP50ukoMhqEAveeUvbcjYusNZ/cLYiuiJj64bMjmEhW1hMnlcmq4Sd6XsxBkqR8kqcGoaN93RSjZrNOQ0v9lZ4YkpksGmsClqkH4jaWt9SiJuDFWDKjSSsPYTBaTYxSvBBdaasLobUuiExWrviwe613BIl0FpEqP5Y08haDWQhv2gunhit+L+ZHmI8IM7zaG0M8VZmBUZi/ZJV6IG7D65GwNndlWuQIlsvQWBLHcxXSrbZGKV6IrkiShMsWNwAAnj0xVNF77T2lvH5dZ72lYq9uY9NixQJ79uS5it4nOpFSb6FtYH6EaSyYV4XmcBCpjFyx9+W5k8oapSfNXMT3//zJysSL8Losa65BfXWg4nFpCcUL0Z0rlmgjXp7JvV68HzGHTYsb4JGA7qEJ9AyX3wDu+ZNDyMrA0qYatNSFNBwhKQVJknB5bk09U8EalWVZff2VS7lGzUTskXtOVGZgPH/KmiEjgOKFGMAVSxsBKIlf5d5QyWa5MVqF2qBPrfdQiSDdc1zZWMXvg5jHlap4Kf+wO9I/iqGxJEJ+D9bOr9doZKQcNi1ugNcjoXtoAmcqMDCePmbdNUrxQnRneXMt5lX7MZHKlN1D5XD/CIbGkqjye9Xr18Q8rtDgsNtznGLUKhQaGMl0eQaGEKObFjUg4OPRYiaFBsYzx8tbo7F4Sm0bsXkZxQtxIR5PPu9lT5kLaU/OAti0eB7731iAy5com9kzx8vzvMTiKbUtwBVLrLcxuo0VLbVoqAkgnsripTPDZb2H+C0wrGsNVG9amWv0uRNKWHdxYzXm11vv5hhPAWIIW3LK/fHDA2W9/umc6LnSgu5LN3L5EiXv5fjgGE6fHy/59c8eVzbGJU01aIsw38VsJElSRcefj5RuYGSzsrpGrRhicCNir3zy2GBZTRqfyhmMm5c1aTouraB4IYbwppUtAJTs99FEuqTXJtNZPHVUWUivX27NheQ2IlV+NYnvT4dKF6SPHuoHALx+OQ86q/Cmlc0A8nNTCgdOD2NoLIlw0Ge5K7Vu5fIlDQh4PTh9fgLHBkqv9/Lk0UEAecPTalC8EENY3FSDxY3VSGdldVEUy/MnhzCSSKOpNoBLLdQYzO2Iw65U8SLLMh59TTkgr1nVqvm4SHkIA+PA6WGcG02U9NpHc7+Bqy5qYljXItQEfbgil0/26GulrdEzwxN4rW8EHonihRBcfZFy2D1WYujoj7mD7s0rW1jfxUKIw+6pY4NIpIsvbnbo7Ah6onGE/B5LJgK6lda6EC5ur4MsA48fKW2NPlqwRol1eMsqZT4eea00b9ofXj0LQGkJ0Fgb1HxcWkDxQgxDHHaPHOxHtoSeG2LhXbOaG6OVuKSjDs3hIMaTmZKSAsV8blnWhJCfncGtxJtXKQbGIyVY6v0jcfUW4dU5bxyxBkJMPndyCLF4qujX/eGgIl7edrF1PaMUL8QwtixvRDjkQ18srhY/mosjZ0dwYnAMfq+EN6zgxmglJElSN7ffvthT9Ov+6+U+AMCbV1GMWo1rVivz+ceDZ4vuRfa7l5T5XLcggpYwk6+txOKmGixrrkE6K6velLmIxVPqrdC3rqZ4IQRBnxdvv6QNAPCbA8Uddj/fdwaAEnKqDfp0Gxspj3et6wAA/O7lvqJCR8cGRnHgdBRej4R3rmnTe3ikRDZ01qOzoQrjyYxqfc/FL/cra/T63G+BWAsxL7/I7aVz8fDLfUhlZCxrrsHS5lo9h1YRFC/EUMRCeuilXqTnqLabzcr4ZW7B/eXrFug+NlI6ly9uQFtdCCPxNB4rInH3lwVi1KqxdDcjSRL+27r5AIBf7Z/7sDt1bgz7uobhkfJClliLd69X5vPJo4PoH4nP+fz//fxpANbfcyleiKFsWdaIhpoAzo0l1UTcmdhz/Bx6o3GEQz418YxYC49Hwl9c2g4A+N97T8/63GxWVq2/d2+Yr/vYSHn8t/WKCPnToQEMjMx+6+iX+xQP6pZlTexPZVEWN9VgfWc9sjLw6/2ze7xPDo7h2ZND8EjAe90sXs6fP49t27YhEokgEolg27ZtGB4eLvr1n/70pyFJEnbt2qXbGImx+L0evH9TJwDge38+Metzf/TMKQDAX1zawcROC/PBy5X53H3wLE6dG5vxeX863I/T5ycQDvrwNgvH0t3OitYw1nXWI52V8cM9p2Z8XjKdxY+fVf79vRspRq3MezcqQuRHe07Nelniwee7AQBXrWi2fPFIXcXLDTfcgP379+Phhx/Gww8/jP3792Pbtm1FvfaXv/wlnnnmGXR00BXpND6yZRF8HgnPnBjCyzP0Ouo6N46Hc4mdH92y2MDRkVJZ3hLGm1Y2Q5ZnF6TfeVz5t7++YiGqAhSjVuZvrloKAPjh0ydnTNz9Py/14GwsgeZwENet5T5tZf5yw3zUhXw4eW58xlymWDyFH+XE6g1XLDRyeGWhm3g5ePAgHn74YXz3u9/F5s2bsXnzZnznO9/Bb3/7Wxw6dGjW1545cwa33HILHnjgAfj9fr2GSEyiPVKFd65VQg27/nBk2ufcvfsQsjLwxouasbItbOTwSBl8KnfYPfh8N3qjU7vYPnl0EE8fPwefR8JHKEYtzzvWtKGzoQrnx1N44Jmp3pdkOot/3q2s3Y9uWcxGjBanJujDh65cBAC4e/dhZKbxvvzbEycwEk9jeUutLTyjuv3inn76aUQiEVxxxRXqY1deeSUikQieeuqpGV+XzWaxbds2fOELX8All1wy5+ckEgnEYrFJf8T6fO6a5fB6JPzh4Fm1wJXg2RND+GUuNvuFrSvNGB4pkS3LGrFp0TzEU1n8z9++OqmXSjyVwVd/8woA4MNXLrJkkzcyGa9Hwi1vXg5AMTD6opMTPe9//Bi6hsbRVBvEx16/2IQRklL59BuXoi7kw2t9I/j3p09O+rdT58bwrceOAQC2v3WFLYqB6iZe+vr60NIyNcmypaUFfX19M77u7//+7+Hz+fC5z32uqM/ZuXOnmlMTiUTQ2dlZ9piJcSxvCavhoP/7Pw/geK73RvfQOG796T4AwPs3LcDaBWwHYAckScId77oEXo+Eh17qw3efUEJEmayML//iJRw+O4qm2gA+d80Kk0dKiuV9GzuxrrMeo4k0/q8H9qo9yR47PKB6TL/8zlWoDrCEgR2orw7gb9+uGIM7f/canj2hFJaMjqfw6R/uRSKdxZZljbgu5xW3OiX/6u644w589atfnfU5zz33HABlQ7sQWZanfRwA9u7di2984xt44YUXZnzOhdx2223YsWOH+t+xWIwCxiZ84e0r8cyJc3j5TAzvuudJvPGiJjx59ByiEyksba7BV66f2/NGrMOa+RF86R2r8LWHDuJrDx3Eo4f6EZ1I4ZWeGDwS8PX3r0dDTcDsYZIi8XgkfOMD6/Gue/6MfV3DeMeux7GqrQ5/OtSPdFbGu9Z14D28NWYrtl25CI8dGsAfX+vHh767B29Z1YID3VH0xeJoqg3gn963ruiz12wkucRe2YODgxgcnL2x3uLFi/HjH/8YO3bsmHK7qL6+Hv/8z/+Mj33sY1Net2vXLuzYsQMeT94hlMlk4PF40NnZiZMnT845vlgshkgkgmg0irq6uqL+n4h5DIwk8Dc/fB77uobVx1a31+H7H73M8tnuZCqyLOOeR47i7j8chthZqvxe/NP71uG6S+1h0ZHJ7O8exqd/+DzOxvLXpt+1rgP/9L51zHWxIfFUBp/9yT7sLqi4u2BeFb5z4yasbjf3zCzl/C5ZvBTLwYMHcfHFF+OZZ57B5ZdfDgB45plncOWVV+K1117DypVTcxnOnTuH3t7eSY+9/e1vx7Zt2/Cxj31s2tdcCMWL/chklS7Dh/tHsLSpBm9d3QofO9PammMDo3jkYD9Cfg/esaYdzWEWpLMzI/EUfv/KWQyMJrBp0TxsWtxg9pBIBciyjD3Hh7C/exjtkRC2XtJqifCfJcQLAFx77bXo6enBt7/9bQDA3/zN32DRokX4zW9+oz5n1apV2LlzJ97znvdM+x6LFy/G9u3bsX379qI+k+KFEEIIsR+lnN+6mrcPPPAA1q5di61bt2Lr1q249NJL8cMf/nDScw4dOoRodPpaH4QQQgghF6Kr58UM6HkhhBBC7IdlPC+EEEIIIVpD8UIIIYQQW0HxQgghhBBbQfFCCCGEEFtB8UIIIYQQW0HxQgghhBBbQfFCCCGEEFtB8UIIIYQQW0HxQgghhBBbQfFCCCGEEFtB8UIIIYQQW2F+D2yNEa2aYrGYySMhhBBCSLGIc7uYlouOEy8jIyMAgM7OTpNHQgghhJBSGRkZQSQSmfU5jusqnc1m0dPTg3A4DEmSNH3vWCyGzs5OdHd3s2O1jvB7Ng5+18bA79kY+D0bg17fsyzLGBkZQUdHBzye2bNaHOd58Xg8WLBgga6fUVdXx4VhAPyejYPftTHwezYGfs/GoMf3PJfHRcCEXUIIIYTYCooXQgghhNgKipcSCAaD+MpXvoJgMGj2UBwNv2fj4HdtDPyejYHfszFY4Xt2XMIuIYQQQpwNPS+EEEIIsRUUL4QQQgixFRQvhBBCCLEVFC+EEEIIsRUUL0Vy7733YsmSJQiFQti4cSOeeOIJs4fkOHbu3InLLrsM4XAYLS0tePe7341Dhw6ZPSzHs3PnTkiShO3bt5s9FMdx5swZfPjDH0ZjYyOqq6uxfv167N271+xhOY50Oo3//t//O5YsWYKqqiosXboUd955J7LZrNlDszWPP/44rr/+enR0dECSJPzyl7+c9O+yLOOOO+5AR0cHqqqq8KY3vQmvvPKKIWOjeCmCBx98ENu3b8ftt9+Offv24aqrrsK1116Lrq4us4fmKB577DF85jOfwZ49e7B7926k02ls3boVY2NjZg/NsTz33HO4//77cemll5o9FMdx/vx5vP71r4ff78fvfvc7vPrqq/j617+O+vp6s4fmOP7+7/8e3/rWt3DPPffg4MGD+Id/+Af84z/+I775zW+aPTRbMzY2hnXr1uGee+6Z9t//4R/+AXfffTfuuecePPfcc2hra8Pb3vY2tcegrshkTi6//HL5pptumvTYqlWr5C996Usmjcgd9Pf3ywDkxx57zOyhOJKRkRF5xYoV8u7du+Wrr75avvXWW80ekqP44he/KL/hDW8wexiu4LrrrpM//vGPT3rsL//yL+UPf/jDJo3IeQCQf/GLX6j/nc1m5ba2Nvl//a//pT4Wj8flSCQif+tb39J9PPS8zEEymcTevXuxdevWSY9v3boVTz31lEmjcgfRaBQA0NDQYPJInMlnPvMZXHfddXjrW99q9lAcya9//Wts2rQJ73vf+9DS0oINGzbgO9/5jtnDciRveMMb8Mc//hGHDx8GABw4cAB//vOf8c53vtPkkTmXEydOoK+vb9LZGAwGcfXVVxtyNjquMaPWDA4OIpPJoLW1ddLjra2t6OvrM2lUzkeWZezYsQNveMMbsGbNGrOH4zh++tOf4oUXXsBzzz1n9lAcy/Hjx3Hfffdhx44d+PKXv4xnn30Wn/vc5xAMBnHjjTeaPTxH8cUvfhHRaBSrVq2C1+tFJpPB1772Nfz1X/+12UNzLOL8m+5sPHXqlO6fT/FSJJIkTfpvWZanPEa045ZbbsGLL76IP//5z2YPxXF0d3fj1ltvxe9//3uEQiGzh+NYstksNm3ahLvuugsAsGHDBrzyyiu47777KF405sEHH8SPfvQj/PjHP8Yll1yC/fv3Y/v27ejo6MBHPvIRs4fnaMw6Gyle5qCpqQler3eKl6W/v3+K4iTa8NnPfha//vWv8fjjj2PBggVmD8dx7N27F/39/di4caP6WCaTweOPP4577rkHiUQCXq/XxBE6g/b2dlx88cWTHlu9ejV+9rOfmTQi5/KFL3wBX/rSl/DBD34QALB27VqcOnUKO3fupHjRiba2NgCKB6a9vV193KizkTkvcxAIBLBx40bs3r170uO7d+/Gli1bTBqVM5FlGbfccgt+/vOf45FHHsGSJUvMHpIjueaaa/DSSy9h//796t+mTZvwoQ99CPv376dw0YjXv/71U676Hz58GIsWLTJpRM5lfHwcHs/k48zr9fKqtI4sWbIEbW1tk87GZDKJxx57zJCzkZ6XItixYwe2bduGTZs2YfPmzbj//vvR1dWFm266yeyhOYrPfOYz+PGPf4xf/epXCIfDqrcrEomgqqrK5NE5h3A4PCWPqKamBo2Njcwv0pDPf/7z2LJlC+666y68//3vx7PPPov7778f999/v9lDcxzXX389vva1r2HhwoW45JJLsG/fPtx99934+Mc/bvbQbM3o6CiOHj2q/veJEyewf/9+NDQ0YOHChdi+fTvuuusurFixAitWrMBdd92F6upq3HDDDfoPTvf7TA7hX//1X+VFixbJgUBAft3rXsfruzoAYNq/73//+2YPzfHwqrQ+/OY3v5HXrFkjB4NBedWqVfL9999v9pAcSSwWk2+99VZ54cKFcigUkpcuXSrffvvtciKRMHtotubRRx+ddk/+yEc+Isuycl36K1/5itzW1iYHg0H5jW98o/zSSy8ZMjZJlmVZf4lECCGEEKINzHkhhBBCiK2geCGEEEKIraB4IYQQQoitoHghhBBCiK2geCGEEEKIraB4IYQQQoitoHghhBBCiK2geCGEEEKIraB4IYQQQoitoHghhBBCiK2geCGEEEKIraB4IYQQQoit+P8BbKdGfFF2AZMAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb new file mode 100644 index 00000000..45fa59d7 --- /dev/null +++ b/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb @@ -0,0 +1,267 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return torch.cos(coeffs[\"w\"]*prev_val[\"x\"])\n", + "\n", + "ode = {\"x\": x_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"w\": 5.}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T22:37:27.236428\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(1.2359e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(6.0375, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.2707e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.7501, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.7073e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.8977, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.1740e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0984, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(3.1233e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0082, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(4.2481e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9832, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(8.0158e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9903, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(1.2423e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9958, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(8.9816e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9973, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(5.4187e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9982, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'w': Parameter containing:\n", + " tensor(4.9982, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", + "# TODO: Investigate why \"w\" isn't learning" + ] + }, + { + "source": [ + "# Predictions for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T22:40:16.404537\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From d4a88c4486f8364c64e86baaf0a7947f063b2df7 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Mon, 23 Aug 2021 22:44:26 -0400 Subject: [PATCH 35/73] FIxed comment --- examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb | 5 +---- examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb | 5 +---- .../DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb | 3 +-- .../DuffingTest_fitRandomSample_with_w_RK4.ipynb | 3 +-- examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb | 3 +-- 5 files changed, 5 insertions(+), 14 deletions(-) diff --git a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb index 0ff37548..448b1051 100644 --- a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb @@ -216,10 +216,7 @@ } ], "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", - "# TODO: Investigate why \"w\" isn't learning" + "ode_solver_train.coeffs" ] }, { diff --git a/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb index 45fa59d7..aeb3b58c 100644 --- a/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb @@ -187,10 +187,7 @@ } ], "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", - "# TODO: Investigate why \"w\" isn't learning" + "ode_solver_train.coeffs" ] }, { diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb index 494b2183..7db9ea26 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb @@ -294,8 +294,7 @@ "source": [ "ode_solver_train.coeffs\n", "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", - "# TODO: Investigate why \"w\" isn't learning" + "# Awful results" ] }, { diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb index d4d98bad..ddfaa625 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb @@ -294,8 +294,7 @@ "source": [ "ode_solver_train.coeffs\n", "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", - "# TODO: Investigate why \"w\" isn't learning" + "# Awful results" ] }, { diff --git a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb index b8ce686f..22ff5a55 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb @@ -601,8 +601,7 @@ "source": [ "ode_solver_train.coeffs\n", "\n", - "# \"b\", \"d\", \"g\" differ by at most 0.1. \"a\" differs by 0.1094.\n", - "# TODO: Investigate why \"w\" isn't learning" + "# Awful results" ] }, { From 2c07f70d19ad9f637d7e05dfbe88f2809f95ec84 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Tue, 24 Aug 2021 01:42:54 -0400 Subject: [PATCH 36/73] Trying more predictions for cos(wt) --- .../Cos_wt_fitRandomSample.ipynb | 481 ++++++++++- .../Cos_wx_fitRandomSample.ipynb | 264 ------ .../a_Cos_wt_fitRandomSample.ipynb | 813 ++++++++++++++++++ 3 files changed, 1247 insertions(+), 311 deletions(-) delete mode 100644 examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb create mode 100644 examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb diff --git a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb index 448b1051..881809ba 100644 --- a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -57,7 +57,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -75,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -92,7 +92,7 @@ ] }, "metadata": {}, - "execution_count": 7 + "execution_count": 5 } ], "source": [ @@ -101,14 +101,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} @@ -132,7 +132,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -150,43 +150,163 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 19, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(0.0001, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(2.4146e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(0.5564, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(2.7086e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(0.2693, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(1.7028e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(1.4094, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(1.5383e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.2638, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(7.2113e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(0.5720, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(1.9744e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-2.6869, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(1.6727e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.4457, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(1.4529e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.7190, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(1.0907e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-5.0503, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(4.2784e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-5.0409, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(5.4715e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.8267, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(1.2727e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.9724, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(1.8102e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-5.1520, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(4.1873e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.1311, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(5.1780e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-3.2711, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(7.5392e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-6.1800, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-8.5473, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(3.2150e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-8.8546, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(1.3441e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-8.1203, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(3.3458e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-6.4708, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(4.0574e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-6.2895, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(3.1946e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-6.7088, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(3.2806e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(1.5049, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.9310e-05, grad_fn=)\n", + "tensor(-6.8905, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(9.1959e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(1.2897, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(3.4833e-06, grad_fn=)\n", + "tensor(-7.4480, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(9.4406e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(0.8742, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0002, grad_fn=)\n", + "tensor(-8.0897, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(8.6219e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(1.6155, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(2.6926e-05, grad_fn=)\n", + "tensor(-8.7295, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(7.9796e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(2.2879, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(1.4539e-05, grad_fn=)\n", + "tensor(-9.0427, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(3.6575e-07, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(2.0547, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(2.4550e-07, grad_fn=)\n", + "tensor(-8.8274, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(2.0644e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(1.0661, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(9.2919e-06, grad_fn=)\n", + "tensor(-9.0285, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(1.6546e-06, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(1.2288, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(5.5473e-05, grad_fn=)\n", + "tensor(-9.2313, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(9.5939e-05, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(1.8533, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", + "tensor(-9.3593, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(8.6223e-06, grad_fn=)\n", "{'w': Parameter containing:\n", - "tensor(2.4368, requires_grad=True)}\n" + "tensor(-10.0947, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.4871, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(4.8011e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.4140, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(6.1366e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.6405, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(6.7959e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-11.0156, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(5.0571e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.9378, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(6.7418e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.7958, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.4174, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(1.7927e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.1750, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(4.7017e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.2568, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(2.1444e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.2641, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(7.2486e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.3886, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(2.4303e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.7213, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(1.3222e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-11.0495, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(1.6743e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-11.0677, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(1.1128e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.8657, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(1.3999e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-10.7853, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(4.5793e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-11.0173, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(5.3178e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-11.3179, requires_grad=True)}\n" ] } ], @@ -194,13 +314,15 @@ "ode_solver_train.fit_random_sample(\n", " result,torch.optim.Adam,\n", " {\"lr\": 0.5},\n", - " max_epochs=10\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", ")" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -208,11 +330,11 @@ "data": { "text/plain": [ "{'w': Parameter containing:\n", - " tensor(2.4368, requires_grad=True)}" + " tensor(-11.3179, requires_grad=True)}" ] }, "metadata": {}, - "execution_count": 16 + "execution_count": 20 } ], "source": [ @@ -221,31 +343,31 @@ }, { "source": [ - "# Predictions for nt = 1000" + "# Predictions for nt=1000" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 21, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ - "tensor([[ 0.0000, 0.0000],\n", - " [ 0.0100, 0.0100],\n", - " [ 0.0200, 0.0200],\n", + "tensor([[ 0.0000e+00, 0.0000e+00],\n", + " [ 1.0000e-02, 1.0000e-02],\n", + " [ 1.9936e-02, 2.0000e-02],\n", " ...,\n", - " [-0.3032, 9.9701],\n", - " [-0.2965, 9.9801],\n", - " [-0.2896, 9.9901]], grad_fn=)" + " [-2.2203e-02, 9.9701e+00],\n", + " [-1.2530e-02, 9.9801e+00],\n", + " [-2.6317e-03, 9.9901e+00]], grad_fn=)" ] }, "metadata": {}, - "execution_count": 19 + "execution_count": 21 } ], "source": [ @@ -255,15 +377,15 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 22, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T22:35:47.104375\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" }, "metadata": {} } @@ -277,15 +399,280 @@ "plt.show()" ] }, + { + "source": [ + "# Runge-Kutta for training" + ], + "cell_type": "markdown", + "metadata": {} + }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ - "import scipy.io\n", + "ode_train_coeffs = {\"w\": 1.}\n", "\n", - "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(6.2781e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-1.2795, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.2331, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(7.5939e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-5.7381, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(4.7552e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-4.1620, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0002, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-3.3590, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(4.9796e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(-1.9073, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(5.0881e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(0.8073, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.3890e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(3.7548, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(4.4404e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.1038, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(4.1403e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.4751, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(3.3606e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9211, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(1.6331e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0230, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(2.1287e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0357, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(1.1847e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9797, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(8.3503e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9811, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(4.8015e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9931, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(1.9135e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0067, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(5.4234e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9782, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(6.8002e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9436, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(1.5634e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0047, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(4.0029e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9857, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(7.2332e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0123, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(7.6391e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9982, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(1.7542e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9996, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(6.8283e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0003, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(8.5802e-12, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0001, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(3.5191e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9999, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(9.9920e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(1.0946e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9999, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(1.1227e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0001, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(1.2711e-12, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(2.6656e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(3.6071e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(4.8961e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(1.2834e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(4.2677e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(0., grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(3.9968e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(5.4401e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(5.4401e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(4.4409e-16, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(4.4409e-16, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(4.4409e-16, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(4.4409e-16, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(4.4409e-16, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(0., grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5., requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(0., grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5., requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(0., grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5., requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(0., grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5., requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(0., grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5., requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'w': Parameter containing:\n", + " tensor(5., requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 25 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0100, 0.0100],\n", + " [ 0.0200, 0.0200],\n", + " ...,\n", + " [-0.0806, 9.9701],\n", + " [-0.0713, 9.9801],\n", + " [-0.0619, 9.9901]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 26 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" ] }, { diff --git a/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb deleted file mode 100644 index aeb3b58c..00000000 --- a/examples/ode/DuffingEquation/Cos_wx_fitRandomSample.ipynb +++ /dev/null @@ -1,264 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return torch.cos(coeffs[\"w\"]*prev_val[\"x\"])\n", - "\n", - "ode = {\"x\": x_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"w\": 5.}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(1.2359e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(6.0375, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.2707e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.7501, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.7073e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.8977, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.1740e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0984, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(3.1233e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0082, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(4.2481e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9832, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(8.0158e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9903, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(1.2423e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9958, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(8.9816e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9973, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(5.4187e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9982, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=10\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'w': Parameter containing:\n", - " tensor(4.9982, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 11 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "output_type": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb new file mode 100644 index 00000000..2a20120f --- /dev/null +++ b/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb @@ -0,0 +1,813 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"a\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 3., \"w\": 5.}\n" + ] + }, + { + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0300, 0.0100],\n", + " [ 0.0599, 0.0200],\n", + " ...,\n", + " [-0.2418, 9.9701],\n", + " [-0.2140, 9.9801],\n", + " [-0.1858, 9.9901]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,1], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(8.3987e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3543, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.1630, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(2.3275e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4782, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.2951, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(1.0188e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1041, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.0689, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(7.2948e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6632, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.5962, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(1.2538e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2057, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-0.1034, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5399, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.4166, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2034, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.9078, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0264, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.7868, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(5.2064e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.9432, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.9164, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4973, requires_grad=True), 'w': Parameter containing:\n", + "tensor(2.4500, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.0098, requires_grad=True), 'w': Parameter containing:\n", + "tensor(3.8831, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(6.8418e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1901, requires_grad=True), 'w': Parameter containing:\n", + "tensor(3.9137, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(1.3432e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5793, requires_grad=True), 'w': Parameter containing:\n", + "tensor(4.9323, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0834, requires_grad=True), 'w': Parameter containing:\n", + "tensor(6.4530, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(9.9072e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3140, requires_grad=True), 'w': Parameter containing:\n", + "tensor(7.4185, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.0568, requires_grad=True), 'w': Parameter containing:\n", + "tensor(9.2521, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(2.0031e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5873, requires_grad=True), 'w': Parameter containing:\n", + "tensor(11.7514, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.8779, requires_grad=True), 'w': Parameter containing:\n", + "tensor(13.4293, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(2.1594e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2352, requires_grad=True), 'w': Parameter containing:\n", + "tensor(14.7111, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.7150, requires_grad=True), 'w': Parameter containing:\n", + "tensor(15.9932, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3120, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.3041, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(5.4723e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0961, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.3183, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2363, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.3415, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(1.0712e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0687, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.3532, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0879, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.3388, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(5.2423e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1394, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.2626, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0586, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.1828, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(4.1406e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6978, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.0935, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7489, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.0834, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(3.0066e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4087, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.6350, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1648, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9664, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0102, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9946, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2098, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9787, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(2.4440e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0487, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9032, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(6.2938e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1638, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.8623, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(4.2312e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1970, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.8510, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(7.0362e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0970, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9308, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2049, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9662, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(2.3143e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0827, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9852, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(2.8483e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0962, requires_grad=True), 'w': Parameter containing:\n", + "tensor(17.0106, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(2.8690e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2079, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9282, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1045, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.7936, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0194, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.8154, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(1.2894e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1881, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.8178, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2745, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.7236, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(9.2718e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4498, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.8518, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7078, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.9996, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(7.5422e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5365, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.7109, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(9.9845e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3399, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.5500, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(4.7986e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7897, requires_grad=True), 'w': Parameter containing:\n", + "tensor(16.7366, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(-0.7897, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(16.7366, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt=1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00],\n", + " [-7.8974e-03, 1.0000e-02],\n", + " [-1.5684e-02, 2.0000e-02],\n", + " ...,\n", + " [ 9.0370e-03, 9.9701e+00],\n", + " [ 1.6422e-02, 9.9801e+00],\n", + " [ 2.3238e-02, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Runge-Kutta for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(9.1289e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0290, requires_grad=True), 'w': Parameter containing:\n", + "tensor(2.5714, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4045, requires_grad=True), 'w': Parameter containing:\n", + "tensor(0.6908, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.3988, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-0.1943, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5274, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-1.9835, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0005, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(1.6118, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.7478, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.0194, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-6.2300, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(8.5691e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.1716, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-5.5097, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0005, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4992, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.9050, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3742, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9329, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0005, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.6733, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.7082, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2293, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2861, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(6.8433e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6046, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.5379, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(7.0519e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.8078, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.8330, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(9.2921e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2277, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.6744, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(1.1886e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.9219, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.7873, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2405, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.6873, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(1.8628e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5603, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.6175, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(2.2946e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3432, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9978, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2817, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.7970, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4366, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.4324, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4259, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3270, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(8.0545e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3077, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2857, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(1.1119e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3873, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3110, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(1.2416e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.6498, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2802, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(0.0007, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.8757, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2127, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(1.6099e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4610, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2095, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1481, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2386, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(8.1894e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0622, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2254, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(9.0573e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0506, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2273, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1458, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2121, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(9.7300e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2710, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.1828, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(4.0043e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3712, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2271, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(6.6276e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2286, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3179, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5187, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.1811, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(3.4604e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2911, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.0534, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0096, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.1589, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(2.0865e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1714, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2220, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(4.2937e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0344, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2021, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(3.8148e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2675, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2227, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(1.2807e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0064, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3249, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(4.7085e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5191, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.4220, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2200, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2602, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4233, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2988, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.8801, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.4593, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(1.3130e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7841, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9353, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(6.2324e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1745, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9127, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2285, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9252, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(1.9436e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3970, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.8764, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(5.2493e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0436, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9042, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(1.1490e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0989, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9269, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(-0.0989, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(-2.9269, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00],\n", + " [-9.8864e-04, 1.0000e-02],\n", + " [-1.9764e-03, 2.0000e-02],\n", + " ...,\n", + " [ 2.6607e-02, 9.9701e+00],\n", + " [ 2.7204e-02, 9.9801e+00],\n", + " [ 2.7779e-02, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From 1661cc463f55e449bce58662eef21578cb179ed8 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Tue, 24 Aug 2021 11:27:28 -0400 Subject: [PATCH 37/73] Trained with Euler's method data --- ...nz63_Euler_Train_fitRandomSample_RK4.ipynb | 706 ++++++++++++++++++ 1 file changed, 706 insertions(+) create mode 100644 examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb diff --git a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb new file mode 100644 index 00000000..7d0c88ef --- /dev/null +++ b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb @@ -0,0 +1,706 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3\n", + "\n", + "import time" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Lorenz 63 equations\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", + "\n", + "def y_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", + "\n", + "def z_prime(prev_val, coeffs):\n", + " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", + "\n", + "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", + "\n", + "# Initial conditions [1,0,0]\n", + "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" + ] + }, + { + "source": [ + "# Euler's method - Data Generation for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [9.0000e-01, 2.8000e-01, 0.0000e+00],\n", + " [8.3800e-01, 5.2920e-01, 2.5200e-03],\n", + " ...,\n", + " [2.8109e+00, 4.5452e+00, 1.5969e+01],\n", + " [2.9843e+00, 4.8379e+00, 1.5666e+01],\n", + " [3.1697e+00, 5.1576e+00, 1.5387e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
    ", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-24T11:23:00.690391\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training - benchmark time" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" + ] + } + ], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(2.1258, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.9875, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.4151, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(11.2221, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(2.4854, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(8.9979, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(13.1528, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(6.7183, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0670, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.7091, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(16.6104, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.8756, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0001, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.2568, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(19.2346, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6153, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0047, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1577, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(21.0428, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4078, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.1226, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9843, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(22.8022, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5624, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(0.0098, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9743, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(25.1578, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7153, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(2.3401e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9913, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.5359, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7329, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(1.3627e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9925, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.5330, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7013, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(8.2589e-07, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0167, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9302, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6937, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(8.4879e-06, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0110, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9532, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6947, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(1.1533e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0038, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9606, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6960, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(2.5021e-06, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9988, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9662, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6974, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(2.5532e-07, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9989, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9706, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6984, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(1.5852e-07, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0006, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9749, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6991, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(1.0941e-08, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0004, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9784, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6995, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(4.2036e-09, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0003, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9811, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6997, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(4.0390e-07, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0000, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9836, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6999, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(7.6960e-08, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9999, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9863, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6999, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(2.8299e-08, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0000, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.9884, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7000, requires_grad=True)}\n", + "Time elapsed: 104.24443912506104\n" + ] + } + ], + "source": [ + "start = time.time()\n", + "\n", + "ode_solver_train.fit_random_sample(\n", + " result,\n", + " torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=20,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", + ")\n", + "\n", + "end = time.time()\n", + "print(\"Time elapsed: \", end-start)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(10.0000, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(27.9884, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(2.7000, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Runge-Kutta method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" + ] + } + ], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(0.0269, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(11.0100, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(9.3664, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.1177, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.0425, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3953, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(14.0696, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4969, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0134, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3503, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(18.3947, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4089, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(0.0015, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.5030, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(21.6698, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6779, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0011, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.2792, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(24.8491, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(3.0546, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0157, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3136, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(26.7616, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.1074, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(0.0050, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1203, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(27.8602, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6805, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0042, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.8177, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1609, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.8560, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(5.5081e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1653, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.2235, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7401, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.3832, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.2487, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7291, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(0.0004, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.2228, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.2755, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5824, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(0.0013, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1830, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.2776, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6609, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(0.0021, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.6465, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1997, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5274, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(8.0008e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.6710, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1879, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7209, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(0.0037, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9806, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1990, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.4557, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(0.0012, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1266, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1765, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7954, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(0.0007, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1158, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1551, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5480, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(0.0006, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(9.9688, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1413, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.5416, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(0.0004, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.1186, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1213, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.7960, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(9.6682e-05, grad_fn=)\n", + "{'sigma': Parameter containing:\n", + "tensor(10.0542, requires_grad=True), 'rho': Parameter containing:\n", + "tensor(28.1391, requires_grad=True), 'beta': Parameter containing:\n", + "tensor(2.6882, requires_grad=True)}\n", + "Time elapsed: 117.03746318817139\n" + ] + } + ], + "source": [ + "start = time.time()\n", + "\n", + "ode_solver_train.fit_random_sample(\n", + " result,\n", + " torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=20,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", + ")\n", + "\n", + "end = time.time()\n", + "print(\"Time elapsed: \", end-start)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'sigma': Parameter containing:\n", + " tensor(10.0542, requires_grad=True),\n", + " 'rho': Parameter containing:\n", + " tensor(28.1391, requires_grad=True),\n", + " 'beta': Parameter containing:\n", + " tensor(2.6882, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# The parameters are significantly closer, differing by 0.06 at most" + ] + }, + { + "source": [ + "# Predictions for nt = 10000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 9.1757e-01, 2.6760e-01, 1.2693e-03],\n", + " [ 8.6752e-01, 5.1411e-01, 4.6744e-03],\n", + " ...,\n", + " [-4.9755e+00, -7.6280e+00, 1.8139e+01],\n", + " [-5.2501e+00, -8.0631e+00, 1.8054e+01],\n", + " [-5.5415e+00, -8.5255e+00, 1.8017e+01]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 26 + } + ], + "source": [ + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From 0108d71f27e3e7ddd9a4d7090ed1ac70a1958cd9 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Tue, 24 Aug 2021 11:28:45 -0400 Subject: [PATCH 38/73] Update Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb --- .../lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb index 7d0c88ef..a0a03744 100644 --- a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb +++ b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb @@ -580,9 +580,7 @@ } ], "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The parameters are significantly closer, differing by 0.06 at most" + "ode_solver_train.coeffs" ] }, { From db86c56c494658644459dc73a497d5c1dd0c56a1 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Tue, 24 Aug 2021 11:55:58 -0400 Subject: [PATCH 39/73] Created datasets using sin --- .../Cos_wt_sin_dataset_fitRandomSample.ipynb | 700 ++++++++++++++++ ...a_Cos_wt_sin_dataset_fitRandomSample.ipynb | 778 ++++++++++++++++++ 2 files changed, 1478 insertions(+) create mode 100644 examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb create mode 100644 examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb diff --git a/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb new file mode 100644 index 00000000..b60e77cd --- /dev/null +++ b/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb @@ -0,0 +1,700 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# x'(t) = cos(5t)\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"w\": 5.}\n" + ] + }, + { + "source": [ + "# Dataset: x(t) = 0.2 sin(5t)" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "result = torch.cat((0.2*torch.sin(5*torch.arange(0,10,dt).view(1000,1)), torch.arange(0,10,dt).t().view(1000,1)), dim=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0100, 0.0100],\n", + " [ 0.0200, 0.0200],\n", + " ...,\n", + " [-0.0807, 9.9700],\n", + " [-0.0715, 9.9800],\n", + " [-0.0621, 9.9900]])" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,1], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.0746, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(1.6998e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.7705, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(4.8719e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(3.9035, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(6.1404e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.8478, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(1.2617e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0906, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(1.4774e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.8040, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(6.7173e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.9461, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(2.2041e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.6637, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(1.8713e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(6.2272, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(3.9529, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(9.9100e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.6195, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(9.5652e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0657, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(1.0789e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.1469, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(1.3551e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0046, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(1.2483e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0141, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(9.7401e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.8922, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(1.0933e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.1778, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(5.0590e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.8981, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(6.6089e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0579, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(1.2787e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9825, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(2.4039e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0293, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(1.7594e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9790, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(1.7752e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0099, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(7.3834e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0016, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(8.8376e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0044, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(4.2443e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0026, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(2.5877e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0041, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(2.5798e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0035, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(1.3090e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0038, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(2.6411e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0032, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(1.3716e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0032, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(1.5587e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0038, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(4.8162e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0048, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(6.5313e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0037, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(1.6680e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0031, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(5.4401e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0014, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(4.3130e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0047, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(7.3329e-12, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0017, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(6.7459e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0033, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(1.3768e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0029, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(2.0917e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0036, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(1.9102e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0044, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(2.6673e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0019, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(2.4844e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0040, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(9.4255e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0036, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(1.7675e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0015, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(1.2478e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0055, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(1.8300e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0017, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(2.1651e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0008, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(1.0269e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0055, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'w': Parameter containing:\n", + " tensor(5.0055, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 26 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt=1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0100, 0.0100],\n", + " [ 0.0200, 0.0200],\n", + " ...,\n", + " [-0.0700, 9.9701],\n", + " [-0.0607, 9.9801],\n", + " [-0.0512, 9.9901]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 27 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Runge-Kutta for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(6.4903e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.2780, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(3.5491e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.2486, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(2.1207e-05, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(2.6527, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(2.7050e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.6368, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(2.4687e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.5153, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(9.7100e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.5416, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(1.7244e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0945, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0001, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.7973, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(2.5060e-06, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9608, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(5.4163e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9939, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(2.8473e-07, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0115, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(1.3045e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0041, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(5.6551e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9992, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(1.7476e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(6.9568e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0006, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(5.0735e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9995, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(1.3925e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0006, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(8.8450e-09, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9919, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(1.6190e-08, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9982, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(4.9945e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0004, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(1.4479e-10, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(4.9999, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(1.6628e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(2.2382e-11, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0001, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(5.3735e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(1.0881e-12, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(2.5580e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(5.4812e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(3.2085e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(8.4122e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(2.7203e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(1.9121e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(8.4122e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(4.6185e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(3.9968e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(7.1054e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(1.6032e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(4.5475e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(2.7756e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(8.7041e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(5.3735e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(3.0226e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(1.0020e-12, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(1.3927e-12, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(2.7756e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(6.8967e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(9.9876e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(4.7973e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(7.1054e-15, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(5.8731e-14, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(7.2131e-13, grad_fn=)\n", + "{'w': Parameter containing:\n", + "tensor(5.0000, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'w': Parameter containing:\n", + " tensor(5.0000, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 31 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000, 0.0000],\n", + " [ 0.0100, 0.0100],\n", + " [ 0.0200, 0.0200],\n", + " ...,\n", + " [-0.0806, 9.9701],\n", + " [-0.0714, 9.9801],\n", + " [-0.0619, 9.9901]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 32 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb new file mode 100644 index 00000000..067fb1b6 --- /dev/null +++ b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb @@ -0,0 +1,778 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# x'(t) = 3 sin (5t)\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return coeffs[\"a\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 3., \"w\": 5.}\n" + ] + }, + { + "source": [ + "# Dataset: x(t) = 0.6 sin(5t)" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "result = torch.cat((0.6*torch.sin(5*torch.arange(0,10,dt).view(1000,1)), torch.arange(0,10,dt).t().view(1000,1)), dim=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,1], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Euler's method for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"euler\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(4.5270e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-2.4322, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-0.1929, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.0007, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.8558, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-1.6210, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.9097, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.3786, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(4.1739e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7750, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.7117, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2855, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.6512, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(3.3292e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.9476, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.7786, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(1.1075e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4619, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.1053, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2398, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.6427, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(3.2227e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2927, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.2822, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4024, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.4214, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3405, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.0005, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(5.2558e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.5829, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.3484, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(2.9727e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0696, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9735, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(9.5041e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0153, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9711, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(5.1703e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.4543, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.0306, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(4.6333e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2425, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.1199, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(1.0890e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(1.0737, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.0614, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(4.1453e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.7318, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.1605, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(4.0322e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6846, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.6746, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4716, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9486, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4636, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.0513, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2133, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.0262, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(9.1002e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2131, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.0550, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2561, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.1017, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.6285, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.1315, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(8.0482e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.9587, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.8163, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(5.4839e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.8753, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.4388, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3497, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2782, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(1.1273e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1637, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2723, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(6.0147e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0477, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3468, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(8.3584e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1129, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3795, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(7.6798e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0488, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3675, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3402, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3180, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0959, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3005, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(9.6643e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0825, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3338, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0977, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.4111, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2193, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.4535, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(0.0005, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5342, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.5106, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(2.8332e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6357, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3143, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2803, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2216, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(1.1408e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0466, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2106, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0309, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2120, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(3.6971e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2747, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.2372, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4057, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.3999, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(7.4059e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2769, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.6607, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(3.0574e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2911, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.8372, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(4.4585e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5236, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-2.9330, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3666, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.0814, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0783, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.1630, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(7.5517e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0256, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.1735, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(0.0256, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(-3.1735, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt=1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00],\n", + " [2.5617e-04, 1.0000e-02],\n", + " [5.1222e-04, 2.0000e-02],\n", + " ...,\n", + " [1.8023e-03, 9.9701e+00],\n", + " [2.0520e-03, 9.9801e+00],\n", + " [2.2998e-03, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "source": [ + "# Runge-Kutta for training" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0997, requires_grad=True), 'w': Parameter containing:\n", + "tensor(4.6741, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1854, requires_grad=True), 'w': Parameter containing:\n", + "tensor(6.2720, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(1.3846e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.9322, requires_grad=True), 'w': Parameter containing:\n", + "tensor(6.2679, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(5.9804e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0151, requires_grad=True), 'w': Parameter containing:\n", + "tensor(3.5418, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(2.1066e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5775, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.7847, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3544, requires_grad=True), 'w': Parameter containing:\n", + "tensor(2.4311, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(8.1897e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3198, requires_grad=True), 'w': Parameter containing:\n", + "tensor(3.5560, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(1.7646e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1638, requires_grad=True), 'w': Parameter containing:\n", + "tensor(3.3414, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(2.2373e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-1.3302, requires_grad=True), 'w': Parameter containing:\n", + "tensor(2.2808, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0128, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-0.9907, requires_grad=True)}\n", + "Epoch: 10\t Loss: tensor(2.7092e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(1.1079, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-3.4621, requires_grad=True)}\n", + "Epoch: 11\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(1.0649, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.8681, requires_grad=True)}\n", + "Epoch: 12\t Loss: tensor(5.8265e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(2.7937, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-4.8530, requires_grad=True)}\n", + "Epoch: 13\t Loss: tensor(9.6760e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7413, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-6.1892, requires_grad=True)}\n", + "Epoch: 14\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0507, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.1093, requires_grad=True)}\n", + "Epoch: 15\t Loss: tensor(2.0103e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(1.1409, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-8.2856, requires_grad=True)}\n", + "Epoch: 16\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.7276, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-9.8825, requires_grad=True)}\n", + "Epoch: 17\t Loss: tensor(1.8564e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2852, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-9.2050, requires_grad=True)}\n", + "Epoch: 18\t Loss: tensor(6.2649e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1306, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-8.8655, requires_grad=True)}\n", + "Epoch: 19\t Loss: tensor(1.1148e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.8712, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.8213, requires_grad=True)}\n", + "Epoch: 20\t Loss: tensor(6.4303e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3711, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6783, requires_grad=True)}\n", + "Epoch: 21\t Loss: tensor(3.6406e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1566, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6576, requires_grad=True)}\n", + "Epoch: 22\t Loss: tensor(4.8942e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0450, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.7096, requires_grad=True)}\n", + "Epoch: 23\t Loss: tensor(7.1799e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0168, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.7070, requires_grad=True)}\n", + "Epoch: 24\t Loss: tensor(1.0641e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1109, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.7094, requires_grad=True)}\n", + "Epoch: 25\t Loss: tensor(4.6307e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1617, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6906, requires_grad=True)}\n", + "Epoch: 26\t Loss: tensor(0.0001, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0050, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6407, requires_grad=True)}\n", + "Epoch: 27\t Loss: tensor(2.1823e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0981, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6197, requires_grad=True)}\n", + "Epoch: 28\t Loss: tensor(1.3576e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1332, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5929, requires_grad=True)}\n", + "Epoch: 29\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0645, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5776, requires_grad=True)}\n", + "Epoch: 30\t Loss: tensor(9.3135e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2605, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5727, requires_grad=True)}\n", + "Epoch: 31\t Loss: tensor(5.1299e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2823, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6115, requires_grad=True)}\n", + "Epoch: 32\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1129, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6248, requires_grad=True)}\n", + "Epoch: 33\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1549, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6662, requires_grad=True)}\n", + "Epoch: 34\t Loss: tensor(5.8770e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.3164, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6577, requires_grad=True)}\n", + "Epoch: 35\t Loss: tensor(2.4644e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4008, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.6906, requires_grad=True)}\n", + "Epoch: 36\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2954, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.7434, requires_grad=True)}\n", + "Epoch: 37\t Loss: tensor(1.2589e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4092, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.7065, requires_grad=True)}\n", + "Epoch: 38\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4456, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5781, requires_grad=True)}\n", + "Epoch: 39\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2274, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.4923, requires_grad=True)}\n", + "Epoch: 40\t Loss: tensor(0.0003, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0936, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.4958, requires_grad=True)}\n", + "Epoch: 41\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.0102, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.4707, requires_grad=True)}\n", + "Epoch: 42\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1084, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.4729, requires_grad=True)}\n", + "Epoch: 43\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0882, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5021, requires_grad=True)}\n", + "Epoch: 44\t Loss: tensor(7.8101e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0559, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5200, requires_grad=True)}\n", + "Epoch: 45\t Loss: tensor(1.7299e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.4571, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5471, requires_grad=True)}\n", + "Epoch: 46\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.7655, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.5353, requires_grad=True)}\n", + "Epoch: 47\t Loss: tensor(0.0005, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.5684, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-7.9033, requires_grad=True)}\n", + "Epoch: 48\t Loss: tensor(0.0004, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0502, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-8.0365, requires_grad=True)}\n", + "Epoch: 49\t Loss: tensor(0.0002, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2824, requires_grad=True), 'w': Parameter containing:\n", + "tensor(-8.0455, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.5},\n", + " max_epochs=50,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(-0.2824, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(-8.0455, requires_grad=True)}" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "source": [ + "# Predictions for nt = 1000" + ], + "cell_type": "markdown", + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00],\n", + " [-2.8206e-03, 1.0000e-02],\n", + " [-5.6229e-03, 2.0000e-02],\n", + " ...,\n", + " [ 3.4903e-02, 9.9701e+00],\n", + " [ 3.4496e-02, 9.9801e+00],\n", + " [ 3.3866e-02, 9.9901e+00]], grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file From 3b4b84a49f623ae327143cb04ad61ec15afd88b5 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Tue, 24 Aug 2021 11:59:23 -0400 Subject: [PATCH 40/73] Update a_Cos_wt_sin_dataset_fitRandomSample.ipynb --- .../DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb index 067fb1b6..ff353945 100644 --- a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb @@ -30,7 +30,7 @@ "metadata": {}, "outputs": [], "source": [ - "# x'(t) = 3 sin (5t)\n", + "# x'(t) = 3 cos (5t)\n", "dt = 0.01\n", "\n", "def x_prime(prev_val, coeffs):\n", From c42b1c2af7d85d17c9a2c0dbcf476b77ecafd2ec Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sat, 28 Aug 2021 00:05:48 +0000 Subject: [PATCH 41/73] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- .../Cos_wt_fitRandomSample.ipynb | 2 +- .../Cos_wt_sin_dataset_fitRandomSample.ipynb | 2 +- .../ode/DuffingEquation/DuffingTest_fit.ipynb | 2 +- .../DuffingTest_fitRandomSample.ipynb | 2 +- .../DuffingTest_fitRandomSample_with_w.ipynb | 2 +- ...ffingTest_fitRandomSample_with_w_RK4.ipynb | 2 +- .../DuffingTest_fit_with_w.ipynb | 2 +- .../a_Cos_wt_fitRandomSample.ipynb | 2 +- ...a_Cos_wt_sin_dataset_fitRandomSample.ipynb | 2 +- examples/ode/README.md | 2 +- examples/ode/SEIR/SEIRTest_fit.ipynb | 2 +- .../ode/SEIR/SEIRTest_fitRandomSample.ipynb | 2 +- .../SEIR/SEIRTest_fitRandomSample_RK4.ipynb | 2 +- examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 2 +- .../Lorenz63Train_fitRandomSample.ipynb | 2 +- .../Lorenz63Train_fitRandomSample_RK4.ipynb | 2 +- ...nz63_Euler_Train_fitRandomSample_RK4.ipynb | 2 +- torchts/nn/models/ode.py | 53 ++++++++++++------- 18 files changed, 52 insertions(+), 35 deletions(-) diff --git a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb index 881809ba..0c4f4c32 100644 --- a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb @@ -706,4 +706,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb index b60e77cd..a3cb7a72 100644 --- a/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb @@ -697,4 +697,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb index bbea4960..403e598b 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb @@ -717,4 +717,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb index d169d099..bb6710a5 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb @@ -398,4 +398,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb index 7db9ea26..d86a989c 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb @@ -397,4 +397,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb index ddfaa625..276b3bdd 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb @@ -397,4 +397,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb index 22ff5a55..b323fa4f 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb @@ -711,4 +711,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb index 2a20120f..4aa3a9a2 100644 --- a/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb @@ -810,4 +810,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb index ff353945..cd4e51ca 100644 --- a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb +++ b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb @@ -775,4 +775,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/README.md b/examples/ode/README.md index 7c28e58e..d5901d3e 100644 --- a/examples/ode/README.md +++ b/examples/ode/README.md @@ -16,4 +16,4 @@ SEIR: ![alt text](https://miro.medium.com/max/1056/1*dXCHv_pSYiMG90efXiFNPQ.png) -Parameters to estimate: $\alpha, \beta, \gamma$ \ No newline at end of file +Parameters to estimate: $\alpha, \beta, \gamma$ diff --git a/examples/ode/SEIR/SEIRTest_fit.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb index 23b7827b..fdf2724a 100644 --- a/examples/ode/SEIR/SEIRTest_fit.ipynb +++ b/examples/ode/SEIR/SEIRTest_fit.ipynb @@ -736,4 +736,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb index 7603ffa1..e4a625f4 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb @@ -438,4 +438,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb index b1ea380c..9e99d3b4 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb @@ -438,4 +438,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb index 1048385d..2d60ae71 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb @@ -743,4 +743,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb index 098b0cb2..2ac0bcac 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb @@ -408,4 +408,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb index 68ed38c7..1b8cb3d4 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb @@ -537,4 +537,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb index a0a03744..6658555e 100644 --- a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb +++ b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb @@ -701,4 +701,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} \ No newline at end of file +} diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 117c30a8..b7ddfd60 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -54,9 +54,7 @@ def runge_kutta_4_step(self, prev_val): ) for var in self.var_names: - k_3[var] = ( - prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - ) + k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt for var in self.var_names: k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt @@ -72,7 +70,7 @@ def runge_kutta_4_step(self, prev_val): ) * self.dt ) - + return pred def solver(self, nt): @@ -93,9 +91,16 @@ def forward(self, nt): def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} - - def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, scheduler_params=None): + def fit( + self, + x, + optim, + optim_params=None, + max_epochs=10, + scheduler=None, + scheduler_params=None, + ): """Fits model to the given data by comparing the whole dataset Args: @@ -129,11 +134,20 @@ def fit(self, x, optim, optim_params=None, max_epochs=10, scheduler=None, schedu optimizer.step() if scheduler is not None: lr_scheduler.step() - + print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) print(self.coeffs) - def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_size=64, scheduler=None, scheduler_params=None): + def fit_random_sample( + self, + x, + optim, + optim_params=None, + max_epochs=10, + batch_size=64, + scheduler=None, + scheduler_params=None, + ): """Fits model to the given data by using random samples for each batch Args: @@ -165,33 +179,36 @@ def fit_random_sample(self, x, optim, optim_params=None, max_epochs=10, batch_si n = data[0].shape[0] - if n<3: + if n < 3: continue # Takes a random data point from "data" - ri = torch.randint(low=0,high=n-2,size=()).item() - single_point = data[0][ri:ri+1,:] - init_point = {var: single_point[0,i] for i,var in enumerate(self.var_names)} + ri = torch.randint(low=0, high=n - 2, size=()).item() + single_point = data[0][ri : ri + 1, :] + init_point = { + var: single_point[0, i] for i, var in enumerate(self.var_names) + } - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + pred = { + name: value.unsqueeze(0) for name, value in self.init_vars.items() + } pred = self.step_solver(init_point) - + predictions = torch.stack([pred[var] for var in self.outvar], dim=0) # Compare numerical integration data with next data point - loss = self.criterion(predictions, data[0][ri+1,:]) + loss = self.criterion(predictions, data[0][ri + 1, :]) loss.backward(retain_graph=True) optimizer.step() - + if scheduler is not None: lr_scheduler.step() - + print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) print(self.coeffs) - def _step(self, batch, batch_idx, num_batches): (x,) = batch nt = x.shape[0] From 745373711d242ffe084ce7b42b32c6eea353cd97 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 27 Aug 2021 20:32:17 -0400 Subject: [PATCH 42/73] Fixed linting issues --- torchts/nn/models/ode.py | 9 +-------- 1 file changed, 1 insertion(+), 8 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index b7ddfd60..15a87812 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -61,14 +61,7 @@ def runge_kutta_4_step(self, prev_val): for var in self.var_names: pred[var] = ( - prev_val[var] - + ( - self.ode[var](k_1, self.coeffs) / 6 - + self.ode[var](k_2, self.coeffs) / 3 - + self.ode[var](k_3, self.coeffs) / 3 - + self.ode[var](k_4, self.coeffs) / 6 - ) - * self.dt + prev_val[var] + (self.ode[var](k_1, self.coeffs) / 6 + self.ode[var](k_2, self.coeffs) / 3 + self.ode[var](k_3, self.coeffs) / 3 + self.ode[var](k_4, self.coeffs) / 6) * self.dt ) return pred From 6be5f796f69996334942f50752a8ed403a96af9b Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sat, 28 Aug 2021 00:32:32 +0000 Subject: [PATCH 43/73] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- torchts/nn/models/ode.py | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 15a87812..b7ddfd60 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -61,7 +61,14 @@ def runge_kutta_4_step(self, prev_val): for var in self.var_names: pred[var] = ( - prev_val[var] + (self.ode[var](k_1, self.coeffs) / 6 + self.ode[var](k_2, self.coeffs) / 3 + self.ode[var](k_3, self.coeffs) / 3 + self.ode[var](k_4, self.coeffs) / 6) * self.dt + prev_val[var] + + ( + self.ode[var](k_1, self.coeffs) / 6 + + self.ode[var](k_2, self.coeffs) / 3 + + self.ode[var](k_3, self.coeffs) / 3 + + self.ode[var](k_4, self.coeffs) / 6 + ) + * self.dt ) return pred From 114c85596f9d8b2a9afd99ff90885c62b3dc0be2 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 27 Aug 2021 20:36:02 -0400 Subject: [PATCH 44/73] Fixed linting issues --- torchts/nn/models/ode.py | 10 +--------- 1 file changed, 1 insertion(+), 9 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index b7ddfd60..bca37d0f 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -60,15 +60,7 @@ def runge_kutta_4_step(self, prev_val): k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt for var in self.var_names: - pred[var] = ( - prev_val[var] - + ( - self.ode[var](k_1, self.coeffs) / 6 - + self.ode[var](k_2, self.coeffs) / 3 - + self.ode[var](k_3, self.coeffs) / 3 - + self.ode[var](k_4, self.coeffs) / 6 - ) - * self.dt + pred[var] = (prev_val[var] + (self.ode[var](k_1, self.coeffs) / 6 + self.ode[var](k_2, self.coeffs) / 3 + self.ode[var](k_3, self.coeffs) / 3 + self.ode[var](k_4, self.coeffs) / 6 ) * self.dt ) return pred From dc37944dab035a6cc1cae061a9da4586b046fe9c Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sat, 28 Aug 2021 00:36:16 +0000 Subject: [PATCH 45/73] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- torchts/nn/models/ode.py | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index bca37d0f..b7ddfd60 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -60,7 +60,15 @@ def runge_kutta_4_step(self, prev_val): k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt for var in self.var_names: - pred[var] = (prev_val[var] + (self.ode[var](k_1, self.coeffs) / 6 + self.ode[var](k_2, self.coeffs) / 3 + self.ode[var](k_3, self.coeffs) / 3 + self.ode[var](k_4, self.coeffs) / 6 ) * self.dt + pred[var] = ( + prev_val[var] + + ( + self.ode[var](k_1, self.coeffs) / 6 + + self.ode[var](k_2, self.coeffs) / 3 + + self.ode[var](k_3, self.coeffs) / 3 + + self.ode[var](k_4, self.coeffs) / 6 + ) + * self.dt ) return pred From 739cc252760691918e199aa9a78df63694ea7872 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 27 Aug 2021 20:41:16 -0400 Subject: [PATCH 46/73] Update ode.py --- torchts/nn/models/ode.py | 15 +++++---------- 1 file changed, 5 insertions(+), 10 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index b7ddfd60..f2260269 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -60,16 +60,11 @@ def runge_kutta_4_step(self, prev_val): k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt for var in self.var_names: - pred[var] = ( - prev_val[var] - + ( - self.ode[var](k_1, self.coeffs) / 6 - + self.ode[var](k_2, self.coeffs) / 3 - + self.ode[var](k_3, self.coeffs) / 3 - + self.ode[var](k_4, self.coeffs) / 6 - ) - * self.dt - ) + result = self.ode[var](k_1, self.coeffs) / 6 + result += self.ode[var](k_2, self.coeffs) / 3 + result += self.ode[var](k_3, self.coeffs) / 3 + result += self.ode[var](k_4, self.coeffs) / 6 + pred[var] = prev_val[var] + result * self.dt return pred From c8d82a9331175f4429961d81d6caeb0d00ea0310 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Thu, 9 Sep 2021 15:41:17 -0400 Subject: [PATCH 47/73] Used a DNN to train the Duffing Equation --- .../ode/DuffingEquation/DuffingTest_DNN.ipynb | 677 ++++++++++++++++++ 1 file changed, 677 insertions(+) create mode 100644 examples/ode/DuffingEquation/DuffingTest_DNN.ipynb diff --git a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb new file mode 100644 index 00000000..459d483b --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb @@ -0,0 +1,677 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "DuffingTest_DNN.ipynb", + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "5Z8Z-OzS6Z-G", + "outputId": "5f5efe77-4745-4dfa-d641-9139b2164ee5" + }, + "source": [ + "!pip install pytorch_lightning" + ], + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": 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" raise ValueError(\"Inconsistent keys in ode and init_vars\")\n", + "\n", + " if solver == \"euler\":\n", + " self.step_solver = self.euler_step\n", + " elif solver == \"rk4\":\n", + " self.step_solver = self.runge_kutta_4_step\n", + " else:\n", + " raise ValueError(f\"Unrecognized solver {solver}\")\n", + "\n", + " for name, value in init_coeffs.items():\n", + " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n", + " \n", + " self.ode = ode\n", + " self.var_names = ode.keys()\n", + " self.init_vars = {\n", + " name: torch.tensor(value, device=self.device)\n", + " for name, value in init_vars.items()\n", + " }\n", + " self.coeffs = {name: param for name, param in self.named_parameters()}\n", + "\n", + " self.dnn = nn.Sequential(\n", + " nn.Linear(1,10),\n", + " nn.ReLU(),\n", + " nn.Linear(10,1),\n", + " nn.Tanh()\n", + " )\n", + "\n", + " self.outvar = self.var_names if outvar is None else outvar\n", + " self.dt = dt\n", + " self.criterion = F.mse_loss\n", + "\n", + " def euler_step(self, prev_val):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + " for var in self.var_names:\n", + " pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * self.dt\n", + " return pred\n", + "\n", + " def runge_kutta_4_step(self, prev_val):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + "\n", + " k_1 = prev_val\n", + " k_2 = {}\n", + " k_3 = {}\n", + " k_4 = {}\n", + "\n", + " for var in self.var_names:\n", + " k_2[var] = (\n", + " prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * 0.5 * self.dt\n", + " )\n", + "\n", + " for var in self.var_names:\n", + " k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnn) * 0.5 * self.dt\n", + "\n", + " for var in self.var_names:\n", + " k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnn) * self.dt\n", + "\n", + " for var in self.var_names:\n", + " result = self.ode[var](k_1, self.coeffs, self.dnn) / 6\n", + " result += self.ode[var](k_2, self.coeffs, self.dnn) / 3\n", + " result += self.ode[var](k_3, self.coeffs, self.dnn) / 3\n", + " result += self.ode[var](k_4, self.coeffs, self.dnn) / 6\n", + " pred[var] = prev_val[var] + result * self.dt\n", + "\n", + " return pred\n", + "\n", + " def solver(self, nt):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + "\n", + " for n in range(nt - 1):\n", + " # create dictionary containing values from previous time step\n", + " prev_val = {var: pred[var][[n]] for var in self.var_names}\n", + " new_val = self.step_solver(prev_val)\n", + " for var in self.var_names:\n", + " pred[var] = torch.cat([pred[var], new_val[var]])\n", + "\n", + " # reformat output to contain desired (observed) variables\n", + " return torch.stack([pred[var] for var in self.outvar], dim=1)\n", + "\n", + " def forward(self, nt):\n", + " return self.solver(nt)\n", + "\n", + " def get_coeffs(self):\n", + " return {name: param.item() for name, param in self.named_parameters()}\n", + "\n", + " def fit(\n", + " self,\n", + " x,\n", + " optim,\n", + " optim_params=None,\n", + " max_epochs=10,\n", + " scheduler=None,\n", + " scheduler_params=None,\n", + " ):\n", + " \"\"\"Fits model to the given data by comparing the whole dataset\n", + " Args:\n", + " x (torch.Tensor): Original time series data\n", + " optim (torch.optim): Optimizer\n", + " optim_params: Optimizer parameters\n", + " max_epochs (int): Number of training epochs\n", + " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", + " scheduler_params: Learning rate scheduler parameters\n", + " \"\"\"\n", + " dataset = TensorDataset(x)\n", + " n = dataset.__len__()\n", + " loader = DataLoader(dataset, batch_size=n)\n", + "\n", + " if optim_params is not None:\n", + " optimizer = optim(self.parameters(), **optim_params)\n", + " else:\n", + " optimizer = optim(self.parameters())\n", + "\n", + " if scheduler is not None:\n", + " if scheduler_params is not None:\n", + " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", + " else:\n", + " lr_scheduler = scheduler(optimizer)\n", + "\n", + " for epoch in range(max_epochs):\n", + " for i, data in enumerate(loader, 0):\n", + " self.zero_grad()\n", + " loss = self._step(data, i, n)\n", + " loss.backward(retain_graph=True)\n", + " optimizer.step()\n", + " if scheduler is not None:\n", + " lr_scheduler.step()\n", + "\n", + " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", + " print(self.coeffs)\n", + " # Testing to see that self.dnns changes\n", + " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", + "\n", + " def fit_random_sample(\n", + " self,\n", + " x,\n", + " optim,\n", + " optim_params=None,\n", + " max_epochs=10,\n", + " batch_size=64,\n", + " scheduler=None,\n", + " scheduler_params=None,\n", + " ):\n", + " \"\"\"Fits model to the given data by using random samples for each batch\n", + " Args:\n", + " x (torch.Tensor): Original time series data\n", + " optim (torch.optim): Optimizer\n", + " optim_params: Optimizer parameters\n", + " max_epochs (int): Number of training epochs\n", + " batch_size (int): Batch size for torch.utils.data.DataLoader\n", + " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", + " scheduler_params: Learning rate scheduler parameters\n", + " \"\"\"\n", + " dataset = TensorDataset(x)\n", + " loader = DataLoader(dataset, batch_size=batch_size)\n", + "\n", + " if optim_params is not None:\n", + " optimizer = optim(self.parameters(), **optim_params)\n", + " else:\n", + " optimizer = optim(self.parameters())\n", + "\n", + " if scheduler is not None:\n", + " if scheduler_params is not None:\n", + " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", + " else:\n", + " lr_scheduler = scheduler(optimizer)\n", + "\n", + " for epoch in range(max_epochs):\n", + " for i, data in enumerate(loader, 0):\n", + " self.zero_grad()\n", + "\n", + " n = data[0].shape[0]\n", + "\n", + " if n < 3:\n", + " continue\n", + "\n", + " # Takes a random data point from \"data\"\n", + " ri = torch.randint(low=0, high=n - 2, size=()).item()\n", + " single_point = data[0][ri : ri + 1, :]\n", + " init_point = {\n", + " var: single_point[0, i] for i, var in enumerate(self.var_names)\n", + " }\n", + "\n", + " pred = {\n", + " name: value.unsqueeze(0) for name, value in self.init_vars.items()\n", + " }\n", + "\n", + " pred = self.step_solver(init_point)\n", + "\n", + " predictions = torch.stack([pred[var] for var in self.outvar], dim=0)\n", + "\n", + " # Compare numerical integration data with next data point\n", + " loss = self.criterion(predictions, data[0][ri + 1, :])\n", + "\n", + " loss.backward(retain_graph=True)\n", + " optimizer.step()\n", + "\n", + " if scheduler is not None:\n", + " lr_scheduler.step()\n", + "\n", + " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", + " print(self.coeffs)\n", + " # Testing to see that self.dnns changes\n", + " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", + "\n", + " def _step(self, batch, batch_idx, num_batches):\n", + " (x,) = batch\n", + " nt = x.shape[0]\n", + " pred = self(nt)\n", + " return self.criterion(pred, x)" + ], + "execution_count": 115, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "vhzCXiGS7vcj" + }, + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs, dnns):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs, dnns):\n", + " return 0.8*torch.cos(0.5*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs, dnns):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2}" + ], + "execution_count": 116, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0-Om8KZe7zHS" + }, + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NwF7ddNl71cq" + }, + "source": [ + "ode_solver = ODEDNNSolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ], + "execution_count": 117, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "UnDf8azV8W0p", + "outputId": "341ddf94-6459-4cd7-cd6c-0e1631e9e978" + }, + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ], + "execution_count": 118, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ObTghBli7-no" + }, + "source": [ + "# Euler's method for training" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "87VAZZtR7-n1" + }, + "source": [ + "def x_prime_prime_train(prev_val, coeffs, dnns):\n", + " return dnns(torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" + ], + "execution_count": 126, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "dTx1Q0PV7-n2" + }, + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0.}\n", + "ode_train = {\"x\": x_prime, \"x_\": x_prime_prime_train, \"t\": t_prime}\n", + "\n", + "ode_solver_train = ODEDNNSolver(\n", + " ode=ode_train,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")" + ], + "execution_count": 129, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "67eN5ZyB7-n2", + "outputId": "ebcac1a5-961d-4445-e934-85c1b3a2bbbb" + }, + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.02},\n", + " max_epochs=20,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", + ")" + ], + "execution_count": 130, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(2.0892e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0734, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1057, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1188, requires_grad=True)}\n", + "DNN(1) tensor([-0.2622], grad_fn=)\n", + "Epoch: 1\t Loss: tensor(4.0188e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1766, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2347, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1029, requires_grad=True)}\n", + "DNN(1) tensor([-0.0913], grad_fn=)\n", + "Epoch: 2\t Loss: tensor(1.6256e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2581, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3456, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0545, requires_grad=True)}\n", + "DNN(1) tensor([0.3632], grad_fn=)\n", + "Epoch: 3\t Loss: tensor(2.4067e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2690, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3924, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0183, requires_grad=True)}\n", + "DNN(1) tensor([0.4507], grad_fn=)\n", + "Epoch: 4\t Loss: tensor(3.5633e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2655, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4246, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0269, requires_grad=True)}\n", + "DNN(1) tensor([0.5499], grad_fn=)\n", + "Epoch: 5\t Loss: tensor(5.6940e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2614, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4526, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0784, requires_grad=True)}\n", + "DNN(1) tensor([0.6644], grad_fn=)\n", + "Epoch: 6\t Loss: tensor(8.2914e-09, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4683, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0730, requires_grad=True)}\n", + "DNN(1) tensor([0.5611], grad_fn=)\n", + "Epoch: 7\t Loss: tensor(3.6393e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2162, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4683, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0505, requires_grad=True)}\n", + "DNN(1) tensor([0.8185], grad_fn=)\n", + "Epoch: 8\t Loss: tensor(2.5905e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2238, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4857, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0249, requires_grad=True)}\n", + "DNN(1) tensor([0.5355], grad_fn=)\n", + "Epoch: 9\t Loss: tensor(1.2133e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1829, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4814, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0353, requires_grad=True)}\n", + "DNN(1) tensor([0.8013], grad_fn=)\n", + "Epoch: 10\t Loss: tensor(2.6608e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1822, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4838, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0386, requires_grad=True)}\n", + "DNN(1) tensor([0.7911], grad_fn=)\n", + "Epoch: 11\t Loss: tensor(5.7137e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1836, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4873, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0405, requires_grad=True)}\n", + "DNN(1) tensor([0.7702], grad_fn=)\n", + "Epoch: 12\t Loss: tensor(1.0630e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1838, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4904, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0441, requires_grad=True)}\n", + "DNN(1) tensor([0.7583], grad_fn=)\n", + "Epoch: 13\t Loss: tensor(3.7962e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1827, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4933, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0453, requires_grad=True)}\n", + "DNN(1) tensor([0.7535], grad_fn=)\n", + "Epoch: 14\t Loss: tensor(1.3211e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1814, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4968, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0481, requires_grad=True)}\n", + "DNN(1) tensor([0.7546], grad_fn=)\n", + "Epoch: 15\t Loss: tensor(4.3491e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1785, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4994, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0509, requires_grad=True)}\n", + "DNN(1) tensor([0.7570], grad_fn=)\n", + "Epoch: 16\t Loss: tensor(3.0417e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1754, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5013, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0559, requires_grad=True)}\n", + "DNN(1) tensor([0.7630], grad_fn=)\n", + "Epoch: 17\t Loss: tensor(2.9169e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1707, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5024, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0612, requires_grad=True)}\n", + "DNN(1) tensor([0.7567], grad_fn=)\n", + "Epoch: 18\t Loss: tensor(8.3562e-10, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1673, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5044, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0656, requires_grad=True)}\n", + "DNN(1) tensor([0.7530], grad_fn=)\n", + "Epoch: 19\t Loss: tensor(1.3880e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1626, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5041, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0659, requires_grad=True)}\n", + "DNN(1) tensor([0.7480], grad_fn=)\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "IOMjwKY27-n2", + "outputId": "900383b9-02ea-4482-f434-3cbfe729ddb8" + }, + "source": [ + "result = ode_solver_train(1000)\n", + "\n", + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ], + "execution_count": 131, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file From 3035b4eb8a9ff18d46c2a7c0bc7529a656af92b6 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Thu, 9 Sep 2021 19:41:51 +0000 Subject: [PATCH 48/73] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- examples/ode/DuffingEquation/DuffingTest_DNN.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb index 459d483b..c06455d3 100644 --- a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb @@ -674,4 +674,4 @@ ] } ] -} \ No newline at end of file +} From a0f3276b897c3f6bd47cb5158c7e2db00126ea35 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 22 Oct 2021 12:48:40 -0400 Subject: [PATCH 49/73] Used MSELoss to compare the predictions --- .../ode/DuffingEquation/DuffingTest_DNN.ipynb | 369 ++++++++++-------- ...ffingTest_fitRandomSample_with_w_RK4.ipynb | 137 +++++-- examples/ode/SEIR/SEIRTest_fit.ipynb | 133 +++++-- .../SEIR/SEIRTest_fitRandomSample_RK4.ipynb | 133 +++++-- examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 162 +++++--- .../Lorenz63Train_fitRandomSample_RK4.ipynb | 171 +++++--- 6 files changed, 744 insertions(+), 361 deletions(-) diff --git a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb index c06455d3..44559572 100644 --- a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb @@ -23,7 +23,7 @@ "base_uri": "https://localhost:8080/" }, "id": "5Z8Z-OzS6Z-G", - "outputId": "5f5efe77-4745-4dfa-d641-9139b2164ee5" + "outputId": "f83e0d3c-fb76-4938-8aac-3e01134a1969" }, "source": [ "!pip install pytorch_lightning" @@ -35,69 +35,69 @@ "name": 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\u001b[?25l\u001b[?25hdone\n", - " Created wheel for future: filename=future-0.18.2-py3-none-any.whl size=491070 sha256=abd0c396b2528c1d186f2079649bb05dcd4b8241c3cc155fc463c13966560d56\n", + " Created wheel for future: filename=future-0.18.2-py3-none-any.whl size=491070 sha256=8c063018aa301dc492d85fbe4044ef8bf855372d849f3b6f40c44a7b52ea1f17\n", " Stored in directory: /root/.cache/pip/wheels/56/b0/fe/4410d17b32f1f0c3cf54cdfb2bc04d7b4b8f4ae377e2229ba0\n", "Successfully built future\n", "Installing collected packages: multidict, yarl, async-timeout, fsspec, aiohttp, torchmetrics, PyYAML, pyDeprecate, future, pytorch-lightning\n", @@ -109,7 +109,7 @@ " Found existing installation: future 0.16.0\n", " Uninstalling future-0.16.0:\n", " Successfully uninstalled future-0.16.0\n", - "Successfully installed PyYAML-5.4.1 aiohttp-3.7.4.post0 async-timeout-3.0.1 fsspec-2021.8.1 future-0.18.2 multidict-5.1.0 pyDeprecate-0.3.1 pytorch-lightning-1.4.5 torchmetrics-0.5.1 yarl-1.6.3\n" + "Successfully installed PyYAML-6.0 aiohttp-3.7.4.post0 async-timeout-3.0.1 fsspec-2021.10.1 future-0.18.2 multidict-5.2.0 pyDeprecate-0.3.1 pytorch-lightning-1.4.9 torchmetrics-0.5.1 yarl-1.7.0\n" ] } ] @@ -354,7 +354,7 @@ " pred = self(nt)\n", " return self.criterion(pred, x)" ], - "execution_count": 115, + "execution_count": 3, "outputs": [] }, { @@ -383,7 +383,7 @@ "# Constants (Parameters)\n", "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2}" ], - "execution_count": 116, + "execution_count": 4, "outputs": [] }, { @@ -411,7 +411,7 @@ "\n", "result = ode_solver(1000)" ], - "execution_count": 117, + "execution_count": 5, "outputs": [] }, { @@ -422,7 +422,7 @@ "height": 265 }, "id": "UnDf8azV8W0p", - "outputId": "341ddf94-6459-4cd7-cd6c-0e1631e9e978" + "outputId": "6eca4784-0e7d-4537-95d8-94ec220d1156" }, "source": [ "result_np = result.detach().numpy() # Convert to numpy array\n", @@ -432,7 +432,7 @@ "\n", "plt.show()" ], - "execution_count": 118, + "execution_count": 6, "outputs": [ { "output_type": "display_data", @@ -466,7 +466,7 @@ "def x_prime_prime_train(prev_val, coeffs, dnns):\n", " return dnns(torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" ], - "execution_count": 126, + "execution_count": 7, "outputs": [] }, { @@ -486,7 +486,7 @@ " solver=\"rk4\"\n", ")" ], - "execution_count": 129, + "execution_count": 8, "outputs": [] }, { @@ -496,7 +496,7 @@ "base_uri": "https://localhost:8080/" }, "id": "67eN5ZyB7-n2", - "outputId": "ebcac1a5-961d-4445-e934-85c1b3a2bbbb" + "outputId": "1588284b-d8f3-42ed-ff4e-0428b39394e8" }, "source": [ "ode_solver_train.fit_random_sample(\n", @@ -507,132 +507,132 @@ " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", ")" ], - "execution_count": 130, + "execution_count": 9, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ - "Epoch: 0\t Loss: tensor(2.0892e-05, grad_fn=)\n", + "Epoch: 0\t Loss: tensor(6.2093e-06, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.0734, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.1057, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1188, requires_grad=True)}\n", - "DNN(1) tensor([-0.2622], grad_fn=)\n", - "Epoch: 1\t Loss: tensor(4.0188e-06, grad_fn=)\n", + "tensor(0.1419, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1420, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0721, requires_grad=True)}\n", + "DNN(1) tensor([0.2365], grad_fn=)\n", + "Epoch: 1\t Loss: tensor(2.0705e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1766, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2347, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1029, requires_grad=True)}\n", - "DNN(1) tensor([-0.0913], grad_fn=)\n", - "Epoch: 2\t Loss: tensor(1.6256e-06, grad_fn=)\n", + "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2516, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1099, requires_grad=True)}\n", + "DNN(1) tensor([0.1373], grad_fn=)\n", + "Epoch: 2\t Loss: tensor(2.1068e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2581, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3456, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0545, requires_grad=True)}\n", - "DNN(1) tensor([0.3632], grad_fn=)\n", - "Epoch: 3\t Loss: tensor(2.4067e-08, grad_fn=)\n", + "tensor(0.2731, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2960, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1083, requires_grad=True)}\n", + "DNN(1) tensor([0.2051], grad_fn=)\n", + "Epoch: 3\t Loss: tensor(2.6809e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2690, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3924, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0183, requires_grad=True)}\n", - "DNN(1) tensor([0.4507], grad_fn=)\n", - "Epoch: 4\t Loss: tensor(3.5633e-07, grad_fn=)\n", + "tensor(0.2646, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3165, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0769, requires_grad=True)}\n", + "DNN(1) tensor([0.3410], grad_fn=)\n", + "Epoch: 4\t Loss: tensor(2.4307e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2655, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4246, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0269, requires_grad=True)}\n", - "DNN(1) tensor([0.5499], grad_fn=)\n", - "Epoch: 5\t Loss: tensor(5.6940e-08, grad_fn=)\n", + "tensor(0.2557, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3321, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0659, requires_grad=True)}\n", + "DNN(1) tensor([0.2867], grad_fn=)\n", + "Epoch: 5\t Loss: tensor(2.1748e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2614, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4526, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0784, requires_grad=True)}\n", - "DNN(1) tensor([0.6644], grad_fn=)\n", - "Epoch: 6\t Loss: tensor(8.2914e-09, grad_fn=)\n", + "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3312, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0237, requires_grad=True)}\n", + "DNN(1) tensor([0.4414], grad_fn=)\n", + "Epoch: 6\t Loss: tensor(2.6169e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4683, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0730, requires_grad=True)}\n", - "DNN(1) tensor([0.5611], grad_fn=)\n", - "Epoch: 7\t Loss: tensor(3.6393e-07, grad_fn=)\n", + "tensor(0.1903, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3348, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0237, requires_grad=True)}\n", + "DNN(1) tensor([0.3845], grad_fn=)\n", + "Epoch: 7\t Loss: tensor(1.6772e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2162, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4683, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0505, requires_grad=True)}\n", - "DNN(1) tensor([0.8185], grad_fn=)\n", - "Epoch: 8\t Loss: tensor(2.5905e-07, grad_fn=)\n", + "tensor(0.1749, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3486, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0295, requires_grad=True)}\n", + "DNN(1) tensor([0.4565], grad_fn=)\n", + "Epoch: 8\t Loss: tensor(3.1222e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.2238, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4857, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0249, requires_grad=True)}\n", - "DNN(1) tensor([0.5355], grad_fn=)\n", - "Epoch: 9\t Loss: tensor(1.2133e-07, grad_fn=)\n", + "tensor(0.1566, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3485, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0641, requires_grad=True)}\n", + "DNN(1) tensor([0.2051], grad_fn=)\n", + "Epoch: 9\t Loss: tensor(5.5046e-06, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1829, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4814, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0353, requires_grad=True)}\n", - "DNN(1) tensor([0.8013], grad_fn=)\n", - "Epoch: 10\t Loss: tensor(2.6608e-08, grad_fn=)\n", + "tensor(0.1387, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3774, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0270, requires_grad=True)}\n", + "DNN(1) tensor([0.4718], grad_fn=)\n", + "Epoch: 10\t Loss: tensor(8.6054e-06, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1822, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4838, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0386, requires_grad=True)}\n", - "DNN(1) tensor([0.7911], grad_fn=)\n", - "Epoch: 11\t Loss: tensor(5.7137e-08, grad_fn=)\n", + "tensor(0.1340, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3802, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0232, requires_grad=True)}\n", + "DNN(1) tensor([0.4493], grad_fn=)\n", + "Epoch: 11\t Loss: tensor(1.7816e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1836, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4873, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0405, requires_grad=True)}\n", - "DNN(1) tensor([0.7702], grad_fn=)\n", - "Epoch: 12\t Loss: tensor(1.0630e-08, grad_fn=)\n", + "tensor(0.1227, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3761, requires_grad=True), 'd': Parameter 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grad_fn=)\n", - "Epoch: 14\t Loss: tensor(1.3211e-10, grad_fn=)\n", + "tensor(0.1122, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3779, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0064, requires_grad=True)}\n", + "DNN(1) tensor([0.4677], grad_fn=)\n", + "Epoch: 14\t Loss: tensor(1.4457e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1814, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4968, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0481, requires_grad=True)}\n", - "DNN(1) tensor([0.7546], grad_fn=)\n", - "Epoch: 15\t Loss: tensor(4.3491e-10, grad_fn=)\n", + "tensor(0.1096, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3788, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0031, requires_grad=True)}\n", + "DNN(1) tensor([0.4644], grad_fn=)\n", + "Epoch: 15\t Loss: tensor(1.2071e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1785, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4994, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0509, requires_grad=True)}\n", - "DNN(1) tensor([0.7570], grad_fn=)\n", - "Epoch: 16\t Loss: tensor(3.0417e-08, grad_fn=)\n", + "tensor(0.1031, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3770, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0009, requires_grad=True)}\n", + "DNN(1) tensor([0.4661], grad_fn=)\n", + "Epoch: 16\t Loss: tensor(1.5328e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1754, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5013, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0559, requires_grad=True)}\n", - "DNN(1) tensor([0.7630], grad_fn=)\n", - "Epoch: 17\t Loss: tensor(2.9169e-07, grad_fn=)\n", + "tensor(0.0963, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3764, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0040, requires_grad=True)}\n", + "DNN(1) tensor([0.4691], grad_fn=)\n", + "Epoch: 17\t Loss: tensor(1.4537e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1707, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5024, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0612, requires_grad=True)}\n", - "DNN(1) tensor([0.7567], grad_fn=)\n", - "Epoch: 18\t Loss: tensor(8.3562e-10, grad_fn=)\n", + "tensor(0.0909, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3771, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0068, requires_grad=True)}\n", + "DNN(1) tensor([0.4822], grad_fn=)\n", + "Epoch: 18\t Loss: tensor(1.4585e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1673, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5044, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0656, requires_grad=True)}\n", - "DNN(1) tensor([0.7530], grad_fn=)\n", - "Epoch: 19\t Loss: tensor(1.3880e-07, grad_fn=)\n", + "tensor(0.0887, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3810, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0104, requires_grad=True)}\n", + "DNN(1) tensor([0.4979], grad_fn=)\n", + "Epoch: 19\t Loss: tensor(1.1779e-05, grad_fn=)\n", "{'a': Parameter containing:\n", - "tensor(0.1626, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5041, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0659, requires_grad=True)}\n", - "DNN(1) tensor([0.7480], grad_fn=)\n" + "tensor(0.0851, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3836, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0162, requires_grad=True)}\n", + "DNN(1) tensor([0.5046], grad_fn=)\n" ] } ] @@ -642,10 +642,10 @@ "metadata": { "colab": { "base_uri": "https://localhost:8080/", - "height": 265 + "height": 266 }, "id": "IOMjwKY27-n2", - "outputId": "900383b9-02ea-4482-f434-3cbfe729ddb8" + "outputId": "1e8218d2-8200-4b08-9ae5-ec7152cfe18d" }, "source": [ "result = ode_solver_train(1000)\n", @@ -657,12 +657,12 @@ "\n", "plt.show()" ], - "execution_count": 131, + "execution_count": 10, "outputs": [ { "output_type": "display_data", "data": { - "image/png": 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\n", 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\n", 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    " ] @@ -672,6 +672,61 @@ } } ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9adPvysOrfMr" + }, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "kwktnR93ripb" + }, + "source": [ + "ode_solver = ODEDNNSolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ], + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "aVYankyRrwoW", + "outputId": "bc16f6f1-c234-44cb-c9e6-ce0b4f5e8f45" + }, + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result)" + ], + "execution_count": 12, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor(0.0529, grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ] } ] -} +} \ No newline at end of file diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb index 276b3bdd..54e4a9e1 100644 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb @@ -52,11 +52,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -82,7 +82,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", @@ -94,8 +93,9 @@ " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" ] }, + "execution_count": 5, "metadata": {}, - "execution_count": 5 + "output_type": "execute_result" } ], "source": [ @@ -108,13 +108,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -127,11 +129,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -157,13 +159,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -182,8 +186,8 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "Epoch: 0\t Loss: tensor(8.9032e-06, grad_fn=)\n", "{'a': Parameter containing:\n", @@ -272,7 +276,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "{'a': Parameter containing:\n", @@ -287,8 +290,9 @@ " tensor(1.1630, requires_grad=True)}" ] }, + "execution_count": 10, "metadata": {}, - "execution_count": 10 + "output_type": "execute_result" } ], "source": [ @@ -298,11 +302,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -310,7 +314,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", @@ -322,8 +325,9 @@ " [-4.3622e+01, -1.9648e+03, 9.9993e+01]], grad_fn=)" ] }, + "execution_count": 11, "metadata": {}, - "execution_count": 11 + "output_type": "execute_result" } ], "source": [ @@ -337,13 +341,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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qqqjH8yv24ZMfeH+fjoxhhYiIOh1RFLHpcDVmL92C8lqH3sOhs8SwQkREnc6H247h/re36z0MaiMMK0RE1Gk0ON24+81CfPtjhd5DoTbEsEJERJ3Cmv0nsXxXGYNKJ8SwQkREHd7hinr8/HXeLbmzYlghIqIOy+MVcetr3+NIZb3eQ6EIYlghIqIO6f99ewgVdU5s5G60nR7DChERdShlNU2oqnfi6U/36D0UaicMK0RE1GFU1ztxccEqvYdB7YxhhYiIop7L48Vv/8t9U7oqhhUiIopqe47bsbvUjo+3l+o9FNIJwwoREUWt7w9VYuqr3+s9DNIZwwoREUWdLcXVuOetQtgb3XoPhaIAwwoREUWNPcfteH/LUbyx/gicbq/ew6EowbBCRES6sze5UNfkxjV//lbvoVAUYlghIiLdjSn4CrUOTvlQaAwrRESkC4fbg3ve2oKx56QxqFCzGFaIiKhd1TncWL3vJCrrHfhqbzm+2luu95AoyjGsEBFRu5rzn634am85DILeI6GOgmGFiIjaxcPvbkdVvUuupHhFnQdEHQbDChERRUxNowuvrTmEKUOy8d/NR/UeDnVQDCtERNTmGpxuON1ePPbhTnzyw3Es+a5I7yHRWRB0nrJjWCEiojZ30cJVqHO4EWsxAgDqnR6dR0RnQ9R5ys6g748nIqLO4nBFPR5+dzsOnaxDnX8pcgNDCrUBVlaIiOisbC85hfREK27/xwYcrW5E4ZFqvYdEbYzTQERE1GEdKK/F9X/9TnXs4Ml6nUZDnRXDChERtVrBZ3uw/0Qtrs7P1Hso1AUwrBARUYscqazHhqIq/GRYD7yy5hAAIDHGrPOoqCtgWCEiombVOdyIt5rw+Ee7sGb/SdQ0uOTnGtlAS+2Aq4GIiCisN9YdRv4TX2D5zuNYs/8kAOC7gxXy825uQ0vtgGGFiIhUDp2swwNvb8PR6gY88fEuAMBv/rNVft7p9sqPeXsfag+cBiIiIrg9Xmw/WoMhPZMw699bsLesFj8cq5GfV24K5lFUUwS917RSlxDRykpBQQEuvPBCJCQkID09HTfccAP27dunOkcURSxYsADZ2dmIiYnB+PHjsWvXrkgOi4iINB79YAd+ungd3ik8ir1ltQCAA+V18vMeRVrxKh7zzsnUHiIaVlavXo17770X33//PVauXAm3240JEyagvj6wBv+ZZ57BCy+8gJdffhmbNm1CZmYmrrrqKtTW1kZyaEREXd47m0tw49++w7FTjfJNBue9vyPkucrKCvtUqL1FdBpo+fLlqu+XLFmC9PR0FBYW4tJLL4UoinjxxRcxf/583HjjjQCAN954AxkZGVi6dCnuvvvuSA6PiKjL2V5yCpX1DlzePwMPvfsDAOC5L/ad5lVqXq+yytKmwyMKqV0bbGtqfPOfKSkpAICioiKUlZVhwoQJ8jlWqxXjxo3DunXrQr6Hw+GA3W5XfRERUXguT6Ah9vq/fodf/nMzjlY3yMfsja5QLwtLWVkR9b7DHXUJ7RZWRFHEAw88gLFjxyI/Px8AUFZWBgDIyMhQnZuRkSE/p1VQUICkpCT5KycnJ7IDJyLqwI6dasQFT63E4x/uVFVEfjwR6EdxtbI8omyw5ZRQ1yDovO6r3cLK7Nmz8cMPP+A///lP0HPabnJRFMN2mM+bNw81NTXyV0lJSUTGS0TUUW0+XIWCz/egzuHGa2sOodbhxpvfH1EFC2W1xaVYitwSHm/oZlvqvETo+/fcLkuXf/Ob3+Djjz/GmjVr0LNnT/l4ZqbvnhJlZWXIysqSj5eXlwdVWyRWqxVWqzWyAyYi6mAOnaxDdrcY2MxGzH17G45WN8LrFVWhxBOm16S1H0TKlUFuD8MKRV5EKyuiKGL27Nl4//338dVXXyE3N1f1fG5uLjIzM7Fy5Ur5mNPpxOrVqzF69OhIDo2IqNPYeawGlz+/Gr96YzMA4Gh1o/+4HcoitdsbCC5n02uingZqXVWGOia9p4EiWlm59957sXTpUnz00UdISEiQ+1CSkpIQExMDQRAwd+5cLFq0CHl5ecjLy8OiRYsQGxuLadOmRXJoREQd2uMf7kSjy4NnfzYY7xb6lh2vPVChOqfJ7YFRkVbCVlZamVuU1RQnKytdQqeeBlq8eDEAYPz48arjS5YswfTp0wEADz/8MBobGzFr1ixUV1dj5MiRWLFiBRISEiI5NCKiDqW4sgG7SmtwdX4mGl0evPn9EQDAry/ti9omd8jXeL3q/j+Xp20qIsrQ42xlvwvRmYhoWGlJmVEQBCxYsAALFiyI5FCIiDocr1eEwb9F7GXPfwOPV8SS6RciLyNePqfe4YbZGL5Eb1RsMetwB+6Q7DqLioiyZ0XZE0Odl97TQLyRIRFRFFrw8S6MWPglSk/5+k+kasaGoio0OgOho8nlRbjb84hQb4evfJ0yZLQ2trCyQu2NYYWIKAqs2FWG19YckivS/1x3GFX1Tryx/rDqPEEAnIqg4auWBBKJsqItipArMwDQECastJZbueyZlZUuoVP3rBARUWjltU1ItJlhMxshiiJ+/WYhAGBYr24Y0SdFPs/hUocBj1dUTeFoKytB0zuKb5tcgbDiOYvN3Dxh9mshihRWVoiI2tnhinqM/cPXmPEv31Jje2OgQbay3qk6VxRF9VJhj6iqbDjcHtVUj1M1vSOqNoJzuNumIhLuPanzYs8KEVEn98WuMvz6X5tRXtsEAFi5+wScHi++/dG31LjWEbg3j8erDiNeUR0s3F6vKpA0uTyqDxLlbrSiqK6CKIOFqteklUUW1R2YuXSZ2gHDChFRG3J7vPhiVxnqHYFqybz3d2DF7hP429cHAUA1beN0e1XBoc7hVoURrxi8C60yILg8omrLe1XjrCboKFcDnU1jrHI1kJPTQNQOGFaIiNrQu4VHcfebhfjFPzfJx6r8UzslVb47HSuXEzc6PaoP/HqHWxUkRAT3oagqLR6vZpM29WtVlRWXMri0zT4rZ9P7QtRSDCtERGfoSGU9RhWswmtrDsnHXv76AABgY1FV0PnSBm3Kz/dGlwcut3opsDKsuD3eoMqKelpIhMur7EXRBhtFM66isuJwq3tbiKIZwwoRUQtU1Dnw168PyFUSAFj8zUEcr2nCws/2yMe0javKpcTSNIwyjDS6PHB61NMz6qXJ6rDi8qhXA7k86mkh5VSPrzlX8V6u0FNCvHEyRTuGFSIiDbfHq1rmCwB/Wrkfz36xD7OXbpGPHa6sD3qtyaD+36oyWEihQBkUGpxuON3qaRxlmGlyeTThxBs8DaQIJMq9VIDwK3eUj71MKxTlGFaIiBREUcTkl9Zi/LPfoLYpsErn3xuKAQDrDlbKx2xmo/zY6w8F2t1kVRUM/3SLqrKi6VnRVlbcHu20j6bSotl3pVEbVsJUXZRhxc2+E4pyDCtE1GWt2nMCc/6zFSdrHfKx8loH9pbVoszehC3Fp5p9vUGRTBr9lRhlWPF6RXVviFxZ0YQTTcVD+b3LK6q+d7rV4cTXYKsOP0rKINLkUv9cCZtkKdoxrBBRp1dR50Dhkeqg4/M/2ImPt5fi9e+K5GNHKhvkx6canEGvCafe6VuqrNzzpNHl0QQNr+qfAODQTOtop4Fcbq8qcARNA3nVG781utS9KKqelTBLlxlWKNoxrBBRp3fHPzbip4vX4bsDFarjZXbfJm2bDwdW7tQ0BqZ+TjW40Bzlh79U0VCurGl0eUL2iWjDiDbQqFYDebXhxKvZZ0X9vTKseMTwO9gqx85pIIp2DCtE1CmUVDVg8kvfYvE3B1XHm1we7DluBwCs2X8y5GuVH/ANzsBmbuHCirTCRznlIjW2avtRlKFAatpVVTg83mZ7VpweUbUrrcstBvW0KBtslY3B2j1Ywu2zwsoKRTuGFSLqMERRxNd7y1FUEbwK570tR7HzmB1/XL5XtVy4uCowrRPursPKD/F6R+AcZZVFtZGbPxAoe0CkkKM81uTyhAwIQeGkucqKNswETQN5wzbYurRBRtlgqxgXb0ZIp6NtHG9vDCtEFHW0y4Yl3/5YgV/8cxNufmW9vPpGclgRYJR7oSirI8pGWuV2+Mp3UlZWVOeIwY2qTa7gykqj5piygiFXVlzhw4lLE0600zzaaSCnW1tZ0WzNH2YHW21gImqO3qvbGVaIKKoUfL4HA36/HMt3Hg96Tlo2fLLWgaPVjarnTtYFgsjxmib5sXL5sV3xuLYpEERChQ4AaPAfd3m8QbvOhnqdV7Nyp8nlCblcWBtGmm2w1SxddrmDlzKH61lxe72aGxl6wjxmWKHoxrBCRO1qY1EVHvtwB8oUgUIiiiJeWX0Iogj8ZdWBoOdLTwUCypEq9VSQcsqmWrGKxx4mrNQrKih1igqK8nij/7F2o7XGEFUUh9urmmYBgKagZcnBlRXtUuWgpcvaSotm2ke7D4syQGl3u1X93DDLmIlC0XsayKTvjyeizqayzoGUOIt8HxytB9/ZLveRPH3D+arnqhVTNsrwEXg+EEIqFJUUALA3uhXnuUIeVz6ua1JP94iiCEEQ0KDoWZH6V7TTUk0helaaXB7V9wDgcHmC9jkRRRGOZnpQtA22vspL+KXLLo96abOyZ8XjFcMuXQ63MogoGrGyQkRt5qNtxzBi4ZeYs2xbyOfLa5vkoLJmf0XQ85WKAFJV71T1iQDqAKPsPwHUVRPl/ijhpoGU1RSXJ7B5W6hpIG1lpcnlgSiKwZUVbahxe4OCQPA+KprwEtRgK6o2fQueBlLfG6hBVVnxtmhTOC4GomjHsEJEp+X1irj/7W342eJ1qkCh9e8NxRBF4H/bS1XBQFKs2HAtVBipqAuEjEaXB3ZF9QNQV1aUYcXrFWFXTgPVKwOKsrLikn+mctUPEAgvDSGmgbS7wmr3TwF8VZTGEBUYh6ba4tQEGKfH0+y0z+lW/2grLdrKSvjt9llNoY6DYYWoC3O6vViz/+RpP7i+L6rEB1uPYfORaiz13yNHy+sVsfNYjfz9vrLaoHPKFQGjzuFWhRNAvYoHAE7Y1X0tpxQhpFJxbr3TraoOVIeprHhFoN7/YV7nUIcpqeG2PsTeKY0udWhqdHqCqiihKisOtzc41IRYqqyd1tFWVpyq1T/aGxmKqiZa1T4rXnVVxsFqCnVQDCtEnYzT7Q2qWITz8Lvb8fPXN2Lmm4XNnvftj4Epm42K3V6VTtY5VNMlIcOKJnxow0hlvbpqo+xLcXm8qHWoqyTyY00FprYpdJ8KEOhVqdNUVqRlyo2KyoocVpzqwNEYpj8l1LGgaSBNgHF5tPf+CW6wVYeZ5m9sqK3uhLvTMlFHwrBC1Il8sasM+U98gTuXbDrtRl81jS58uK0UAPD1vpM4Wt0Q9twD5XXy4x2K6onSsVPqpcTapcUAcELTZ1Jeqw4r2kqLcjpHu5ussn+lpkFbJQndp6J8TrmHivJ75fRQgzN4agjwraQJFQpCNeJqp4FCrf5RTus4g8KIegfb4GkgMWyDrTSGUI+JOhKGFaIodaC8DusOVgRtfhaOKIoo+GwPnB7f1M7K3SeaPX/9QXWD66YwFRMAOFIZWCZ8qsGF6vrgG/yVasKKNrwAQLldHVa0TbJVmspKlWI6p6ZR/TNrGsMHEmXzbFDVxeEOOgcIVFGUwaTJ5YXXKwYFE19lJUQwcQcHGKdHG1aCb26o/t6jCiOAtmm2+X1WQi2fVo6HqCNiWCGKkHJ7E/75XRH2ltlb/dotxdW45s9rMO21DXh2xb4WvWZXqR2HFQ2sX+wqa/b83aXqcW0rPhXyPK9XVN2JGACKKoO3uz/mr6RYjL7/rWjDCxCopJj8W9drw0tlUGUl8H11M5UVe2Po/hMAqNU8F5gG0kwPyQ22wcEkVINtqMqKdr+SphCNuNoGW5cnxLSQJuA0aMaq/NkutwiXcgdbzViV/Sy8BxB1VAwrRBFQ0+jC9X/9Dgv+txvXv/xdqwPLku8Oy79d/+PbomZX4Eg2FvkqIxaT7z/r9Qcrm+1d2evvKRmS0w0AsLM09BjL7E1wuL0wGQRc1CcFgHpre4kUTi7MTQYQCC9KUjgZ1CPJ931t6LDSOzUWgLrhVgouafEWAJppIP/jOIsRQOjKSoLVpHqurklbWQkdVhqcwcEkXIOtNpg0ubxwuLS9MR5Vc2uoBlu3NqyE2ZTO93M9qq3QtWMl6gwYVogUDp2sw1P/240XVu5X7dXRWou/OShv+e5we/HM8pZVRwDfh9U3+8rl750eL/63vfS0r9t8xBdWZl7aFxajAeW1DpRUBQcGiRRWrhuSDcA37RQq3Bz2V1F6pcSiX3q871iIsCJN+1zoDzQnapuC+makykp+diKA4GkgqcE2z/9zlKt6pJ6V3qlxAHxBQAoMUiDpkRwDQN2zIq36yepm830vrfoJqqz49k6pdwaHmFBLklvWnxJcWanVTFlp911xe8Wg1zS4tAFKPVWlxLBCnRHDCpHfrtIaXP/X7/D6d0X4y6ofcfMr60PuFXI6TrcX72wuAQDMu6Y/BAH4am85SqrCN7AqbT5cjdomN1LiLHjkmv4AgFV7y5t9jSiK2FhUDQAYm9cd52UmAAjfDFvvcMubs117fiYEwVed0Da4AsDhCt95vVNj0dMfBo6GmOI5dsoXRAb3TILFaIAoqlf7ONweeSonX66saFcD+X6+FIpUlRV/cMlJjpG3/pamf6TKSo9uvvFJ4cXt8cof5hmJvrCi7VlJsPkqLg0Ot3+HWd9728y+/z2GmgZqcnmCVgg5QmwA1+QKrrbUaio62soKELwHTNA0lOL74CDFvhTqfBhWKOpU1jnw8fZSvLHuML798WS73L6+yeXB3GXbUNvkxoCsRHRPsGL/iTos+nRPq9/rq73lqKx3onuCFXeNzcXofqkAgA+3Hmvh632NsZedl46rBmYAADYcqgrqsVAqqWpERZ0DZqOAwT2T5DAQLqzsO+GrqqQnWJGVFIOcZN+0i3LVj0Rqru2dGieHlVBTPMf8q4l6JsciI8kKAKr7/0hVFIvRgHP8YUQZjlwer1w9yUv3hS1VZcUfSJLjLEi0mQEEQooUWrL9YUXqC1F+6GclqSsr0vWUQkyd062qWKTG+f4MDc7gsNIQchoouIoSquk2ZGUlaNon9EoliTKgsJJCXQHvDdTF7Thag3cLS7DjWA1EAAOzEnHTiBwM9fcxtKc6hxvPLt+LpRuLVashMhKteHDCefjZ8J5h7zdztl7+6gB+LK9DWrwFS381EvtP1OKWV7/Hsk0luG1kb5zfM6nF7yVVVX56QU+YjAb8ZFhPfHegEh9sO4bZl59z2j+DVEW5YkA6+qbFoVdKLIqrGrCpqAqX9U8P+ZptR08B8P392cxG5PfwTbPsKg0dVvYe94UVqQJzTno8iqsacOBkHUb5w5VEmgbKTVOEFU1lpbbJJVczsrvFICsxBiVVjaq7H0v9Kd0TrEhP8AUB5TSQFEwMgu9nAdqly77nk2Mt6BZrRk2jKxBWmtRhBfCFEumD3GIyIDnOIo8VCASAjEQrDpTXocHhkXtDYsxGxFl9/S+NTo88DdMt1oxTDS40uYOXLiurKGajIG/h7/Gq/75DVVa0jbn1IcJRuO95E0LqChhWIqSyzoG1Byqwq9SOPcftOFnrkH9rtJkNSIq1IDPRisxEGzKSbMhKsiE7KQbZ3WKQmWSD2RjZotf+E7V4fsU+fLFLvbx1a/Ep/HtDMa7Jz8TvpwxEVlJMmHdoW9/sK8ej7+9Aqf/DbUBWInqlxKDwSDVO2B146N0f8NmO43jmZ0PQ3f9B11YOlNfhlTUHAQBP35CP5DgLRvZNxU+G9cAHW4/huRX78MYvL2rRe5XXNuGb/ScBADeN6AkAmDgoA4++b8Chk/U4UF6HvIyEsK8vqqjHoZP1MBkEXJKXBkEQMKpvKoqrGrD+UGXYsLK95BSAQLPs+YrKinSDPqV9/obf/oqw8tXechw4EbyRm3IaqEc3XwXmeE0T3B4vTPLKH9/fW1KMGfFWk9wfcrwmEGqk5tr0RCvS4n1/h40uD+odbsRZTXJzbXKsBd39z6sbbH3//XSLNSMpJnRlJSXOgliLEQ1OD+r80zqAr7k2qMHWX3XJSPCNtd7hlvtVYi1GxFj800NOj7zCJiXWglMNLlWDbVKMLzg53B65mTYpxoyKOieaXB654VlS6wgRVk6z+idonxcGFOpioiKs/O1vf8Ozzz6L48ePY9CgQXjxxRdxySWX6D2sVhFFEftP1OHLPSewas8JbC05hWY3Ea1swPYwTwmCrzyf3c0XXnp0i/GFGf/jvt3jEGs5s7+6oop6/GXVj/hw2zGIou9nTRmcjSsHZsAoCFi19wQ+2laKz3eWYd3BSjx30xB5KiISTjU48dQnu/H+Ft8USU5KDAp+Mhhj89IA+Errr689jD99uR9f7zuJq19cg0U3no+JgzLb5OeLoogFH++CyyPi8v7pqvede2Ue/re9FKv3n8TGoipclJty2vf7eFspPF4Rw3p1Q7/uvqmOBJsZY85Jxdf7TuKLXWXNhpVVe3zhcWTfFCT4pzpG9UvF25tLsP5gZdjXyWGlZzcAwLkZCTAZBJxqcOFodSNyUmJV5+8/USefBwDn+Md64KR6GsjrFXGkyldZ6ZMah/QEq1w1OFHrkHtEpJVAUmUjM0kKK8rKiu9xRoINcVaTHCpO1joQZzXJwSQ13oLkON+fXeoXibEY5cpLt1hLiLDi+zBPtJmRYDOhwelBbZNbnoKJs5oQ7w8rgZ4V32vT/dNA9U63XLGItRoRa/ZVVhoUx1PiLDhUUa9qsJWqPMrKSqLNH1bc3qD/D2iXWWsbbH0/s/meFaKuRvew8vbbb2Pu3Ln429/+hjFjxuCVV17BNddcg927d6NXr156D69ZTrcXG4uq8OWeE/hyz4mgHTsHZiXiwj7JGJCViB7JMegW4ytDN7k9qK53oszehLKaJvmfpacaUXqqCU6PFyfsDpywO7A1xN4Xgr9MPjArEQOzEzEgKxGD/H0WoaYYXB4vNhyqwn83l+DTHcflvRauHpSJByacK39gAcCkwVmYcUlfPPzuD9hxrAYz/rUZ00f3waPXDgj6DfFsfbbjOH7/0U5U1DkhCMAvRufiwYnnqoKY1WTEPeP74fL+6bhv2VbsLavF3W8W4ifDemDBlEFIijWf5RjKsPZABSwmAxZMGaS6fr1T43DLhTn494ZivPz1Afwr9/TVlQ/8fSk3DuuhOj5xUCa+3ncSy3eVYfbleWFf/5U0BdQ/EBClaZldpTWoaXTJH9QSl8eLnf7pHqmyYjMbcW5GAnYft2NXqT0orPzo702RgpPU0HqwXL3Kp7zWgSaXb9lyz+QYGAwCsrvF4EhlA45VN8phRZoW6uGvqGT5A8DxU4qwoqisAEBavBXFVQ2oqHOgT1qcvLV+apwV8VaTHIqqG5yIscTIlcnkWDMS/ddAOiZNA0mVnRNwoLbJLVcs4q0mxPvDX12TW9N46xtPvcODBn+1Jc7iC1OALyhIUz7SVJJyu/1uMWYcgbpnRRqfw+WBlFYSrCbUOtxB00DaewEBCF6RxL4U0llkJuBbTvew8sILL+Cuu+7Cr371KwDAiy++iC+++AKLFy9GQUGBzqNTc7q92H+iFpsOV2FjURXW/lihKulaTAaM6ZeKKwZk4IoB6Wc0heL1iqisd6L0VCOO1zTi2CkpxPi+jlY3orLeiUMnfdMFn/xwXH5tWrwFA7IS0TM5FmajgLomN46easSOozWq+fXL+6fj/ivPDduHMSArEe/dMxp/XL4X/1hbhH+uO4ztR0/hb7dd0CbTQuX2Jvz+o11Y7t+07Jz0ePzxp4MxvHdy2Necl5mAj2aPwZ9W/ohX1xzEB1uPYd3BCvzxp4Mx/rzQUyOnU1XvxIL/7QIAzBrfD71SY4POmTmuH5ZtKsGa/Sfxw9FTGOyvXISyr6wWu0rtMBsFTB6crXruyoEZMHywAzuP2XG0ugE9k4N/lr3JJe+VcsWAwJ8pI9GGvmlxOFRRj41FVUGVrv0natHk8iLBZkJff68HAOT3SPSHlRpcnR+oGFXXO+VgIC0RliorZfYm1DncchWiyL9EuUdyjDzl00MKK6caAPiqTdJ0j/TvR5Y/xBy3h6is+INM9wRfWJH6VqRpoJR4CwRBQHKsBeW1DlTVO5HdLUaurCTHWtBNU1mR/pkYY5IrUrVNLrn3Kd4WqKzUOdyqxtv0hEBlRQoJMRYjYixSZSXQYJsqhRVFgEmK9R1zuAKrgaRAqZyuSYwxo9bhDlphFmo1UINmNZD2e6L2pvd2grqGFafTicLCQjzyyCOq4xMmTMC6detCvsbhcMDhCDTl2e2t3x20Jdb+WIF3C0tQ5/DNqR871Yij1Q1BdypNi7fiiv7puGJAOsbmpZ3x9IzEYBDQPcGK7glW+bdkrfLaJuw5Xovd/n6Y3cftOHSyDhV1TtUN55S6xZoxeXAWpl7YS14p0hyLyYDHJw/EqL6peOC/27C1+BQm/2UtXrp1GEafk3ZGfzavV8SyTSUo+HwPapvcMBkE3DO+H2Zffg6sJuNpX281GfHINf1x1cAMPPTOdhyqqMf0JZswbWQvzL92AOKsLb/2oiji0fd34GStA3np8Zg5rl/I83JSYnH9kGy8v/UY/vb1Qfz9juFh3/P9rUcB+FbxSL+BS9LirRjRJwUbi6qwYtcJ/HJsbtDr1+w/CbdXRL/ucfJeIpKL+6XiUEU91h+sDAor20v8VZWe3WAwBH7/ye+RhP9uPqq6EzLgCzeAL3RI1ywp1oy0eCsq6hw4dLJODmXFVYGVQBKpmnJUsYeLVEGRelWklTdlip6VE/ZAg63vmviukRScpGmgNP+1S4nzhZXqBidEUZRXAzXXsyJNAwG+Rla3N1BZkY7XNblR5w8lFqMByf7qXL3DLYcSVWXFFVxZUU0D+cei3GclUXFMIv98/y84JoMAt1cM2WCr7WHRfk/U1egaVioqKuDxeJCRof6fb0ZGBsrKQm8VXlBQgCeffDLiYyuuapBv8qaUaDNheO9kjOiTgtH9UoM+INpDeoIN6Qk2jDu3u3ys0enBvhO+AHOy1gGP14sYiwmZSVYMzEpCXnr8GY3zyoEZ+OQ3l+Dutwqx57gdt/9jAx6+uj/uvrRvq1bmlJ5qxNy3t8mVg8E9k1Bw4/kYlN3yVTaS4b2T8emcS/DMF3ux5LvDWLqhGN/+eBIv3jIUw3ufvq8EAN7fcgzLd5XBZBDwp1uGwmYOH5buGd8P72/1nf/jidqQPScerygvTb7xgh5BzwO+qaCNRVVYvqssZFj5ao+0Cii4R2hU31Qs3VCM9YeC+1a2lfj2VxmSo76Wg7KlFUHqQL+/XOpXiVcd79fdNxVzoDwQVqRt9nsrppF6hFgRVOoPJdlSZcX/z/JaB1weL8z+TeoAyCuBumtWBEkbwqX6m2uT/RWLqnonGl2B++l0868GAnxhxe3xyqtnkmLMqlAg3eAv3qqtrPgCQ7zNhFj/8XqHR1VZiZUbbANLmlMVYaXRFVxFkSopSTEm+Zj0X0miXPEJ7O9S3eDyV1Z847SaDGyepajU5aeBAAR96IVavSCZN28eHnjgAfl7u92OnJycNh/TBb27yb+tx1mNSE+woV/3uLB9IXqLsRgxNKdbRJYc90qNxQezRmP+Bzvx3paj+MPne7G1uBrP3jRE/h9wc1bvP4m5y7aiusGFWIsRv51wHqaP7gPjWYS8GIsRT0wZ5K+y/ICSqkZMffV7/PGng3HjBT2bfW1xZQMWfOyb/rn/qnNPW2nKy0jAxEEZ+GLXCSxefRAv3Dw06Jz1Bytxwu5AUow57IqdiYMy8H+f7Mbmw1WoqHPIK2IAX9j5ep/UrxL8+ov7+vpW9hy3o7reqarcKCsrSgOyEiEIvsBQbm+SG0mlFT/nakLXOenx2FBUhYOKJtsjVYGVQBJtnwoQaKSVKiqpcRa556Tc34h70j8NJE27SH/+k/7pH2nPlRRFZQXwTVtJm8mZjQLiLEZVZUXZA5JgMyHBGpgGkgoScVYT4v0hxt4UeE2c1Yh4/xLleqdb0bOingaS+lOkANWoqKJIwUl51+UkRWVFDiv+ACNVgeL9YUV5s8N4qwkO95nvnEwUKXpPA+m6KVxaWhqMRmNQFaW8vDyo2iKxWq1ITExUfUVC/8xEzLi0L6aN7IXrh/bAqH6pSE+0RWVQaQ82sxHP3TQYC3+SD4vRgC92ncD1L3+HfWXBS10lHq+IP63cj+lLNqK6wYX8HolYft+luGts7lkFFaXR/dKwfO4luCY/Ey6PiAf+ux2vrTkU9vwmlwezlhai1uHG8N7JuPvSvi36ObPGnwMA+GhbacidaN/f4psCmjw4K+yUVs/kWOT3SIRXBL7U3BF5W0k1qhtccuVOq3uCVe4v2VAUqK7UOdzYX+77O9AG1ViLSV6RpKyuSCuBpI3ZJNK5yo3hjii22lf+OYDAxnCiKMphRVoNZDAIcm9KWU0jXB6vvDut1GCrraxUae79I60IqlLc5blbrK+fJcnfrH6qwSn3gMRZjDAZDXIoqVUsRfaFmEBlRZqKibeaAxUU5T4rFpO8GqjJ5ZErKymKBlttZQUIVE2UYUW5Qkh5Trw/VCmneLRTmTHNVPyIuhJdw4rFYsHw4cOxcuVK1fGVK1di9OjROo2KwhEEAbeN7I13Zo5CdpINRRX1uOGv3+GjbcE7s1bUOTB9yUb8edWPEEVg2sheeHfm6JBNrGcrwWbGX6ddIAePhZ/twT/WFoU8d+Gne7DzmB3JsWa8dOswuWn0dIbkdMOYc1Lh8YpB713b5JKbhcNNAUmu9i+N/nynOqB/6Z8CGn9eetgxSTvhrlMsYd55rAai6KtoSJUTJekePMq+lR/Lw1dWAODgSV9AEcXA3ZaVPSvKLfelhnCn2wtBCDTPAoEpodJTTaisc0IUfX0aKf7qRHe5siI12KqngaTzquudqpVAAFSVFXnZsv+YsmdFrqBYAo23ohgISPFWoxwQnB6v3AMTq22wDepZ8coBpltsoMolBScpmHjF4G39pfeSvleK14QVqW+GSG96/5qu+3b7DzzwAP7f//t/eP3117Fnzx7cf//9KC4uxsyZM/UeGoUxJKcbPplzCS7JS0Ojy4P7lm3DI+/9gLIa343r/re9FNf++Vt8+2MFbGYDXrh5CBb95Pxm+0LOlsEgYN61A/Cby30VkP/7ZDde14SKZRuL8eb3RyAIwJ9uGara7bQlpCbcZZuKVZuVfby9FA1OD/p1j8MFvcKvaAKAa87PAgB8d6ACNQ2BVSGBfpXwK5tG9fM1NivDyjbN/ipa0hSXtLS5qt4pT7cEVVYUNymUtr6XPuyVlZXMJBsMgm8VS0W9Q95SPy3eqlrenik32TbJK4HS4q1y71Sav7JSoV0NFCdVVvw9Kw1OnGoMVFZ8/1SEFU1AkHtTmhQVFJsJNrNBruhJjb/Sfi8SqdlXGVbqFZvLpSqm36QAlWAzBd2rSLu83Hee+lhCiIZwaddcSazm+7bePoCoo9C9Z+WWW25BZWUlnnrqKRw/fhz5+fn47LPP0Lt3b72HRs1IibPgn7+4CH9auR8vf30AyzaVYNmmErlPAfAti/3rbRcE/QYfSQ9cdS5cHhF/X30QT32yG5X1Dsy5Ig8fbj2G+R/uBADcd0XeGS13HntOGvJ7JGLnMTveWHcY9191LgBg2Ubf9vq3XtTrtNOE/brH47yMBOw7UYuVe07gZ8N7oqSqAftO1MJoEFRN01oX902BIPimacprm5CeYEPhEV9z7bBe3UK+RmpglqaBfvT3q/RMjgmacshKtCHGbESjy4PiqgY5qKQnWOUPbgAwGw3ISLTheE0TjlU3ylWK7CR1ZSdLsTHcyVr1SiBAXVlxuD3yNgBp/nvyhOpZkVbeKCsrymXLgHK6xSX/fSRYTRAEAfFWE2oaXSjzL6n27edigMVk8IUvf1jxNdj6/szKYJocIqzYzEbYTL7rJo1FG0yU45PEayorRoMQFOjjNKsL4yxG1coh5X9vRJ1ZVMT0WbNm4fDhw3A4HCgsLMSll16q95CoBYwGAQ9OPA9v//piXNTHtwrH5RGRGmfB3Cvz8PHsse0aVADfVNXvrj4PD/iDxF+/Poj+jy/H797bAY9XxC0jcnDfFeE3ZTvde0vVlTfWH0aD040fjp7CjmM1sBgNp23slVxzvn8qaIdvj5wV/v6Vi/qkqKYUtLrFWjAwyzets/5gJURRxObDvtVVF4bZXXegfxroaHUjTjU4FSuBgv9eDAYB/dJ90z0Hy+vkfpU+mmXUQGAqqKS6UdFcq65UBcJKY9BKICAQXJxurzzdZDII8oe6cjXQqXqn6phUWXF5RLmyI1dWFNNAdXIjre+YVHWRXhOvOS6FqlizETFmk/zzJbFmo1zdqPLv+xJjNsLqv0OztCrJZjbAqqmCaANMjNkIk6J3y2I0BN1mI0YzDaTdGkEZbtp5USJRu9K9skId38i+qfjvzFGoaXChzulGZqKtzRpoz4QgCJhzRR56pcTi6U/3oKLOgViLEfdedg7uGdfvrJqkr8nPQu/UfThS2YC3NwW2wJ80OEuuBJzOtedn4cUvf8S3P1agtsmFFf5+l5bc1mB0v1TsKrVj/cFKDMpOQnWDC1aTAflhloAnxZjROzUWRyobsKvULldW8jRTQJJ+3eOx85gdB07WweP/jT1Un1FOSiw2Ha5GSVWDPA0j7bEiyfSHl+M1TUG71wK+D1ppV9c9x32Vn5Q4i/z3I13PUw2uwB4r/qbbGLNRrioU+xueQ/WsSFNOUoCRnlNWVgDftE9VvXIaKDA9JE1P2cwGGAwCYsxG1d4ooYKJ1WSEzWyUm2sNQnD/icXkCydub+BmixZNWNFWVrThxWY2yhWwGLMx6AaIRJ0Fwwq1maRY81lvf9+WbhjWA1OGZONYdSO6a6YyzpTRIGDGJX3x2Ic78eT/dgPw3f7g3stCbyoXSl56PPp2j8Ohk/V48/sj2OSvjrQsrKThtW+LsO5gpbxp4NCcbs32MgzKTsSRygbsPFaD3f7poP5ZoSte0k62ym33e6cEhxWph6WkqkFeQZMdprJSVtOEk3W+cNBdsVwb8PWt1Drc8qoy5XJuZc+KfF8g/yogaUVQRZ0DR6t9YUUKIsppIKlZWVqerK2saCsu0nSTchpImp6SqhoxZqM83QP4p4E00zdWswE2swHSnngWkyFolZjFP/0kNdyajQaYNX+P2oATq5qOE2BW/FIQYzExrFCnFRXTQESRYjQI6JUa2yZBRfKz4T3luxoDwD3j+uGc9JZPdwmCgMn+Rttnlu+DV/Rt+qa9f08oF+amwGgQUFzVgLe+PwIgcO+gcKS+lR+O1mC3v4Jxfpi9ZaQm2wMn61BU4Zsy6p0WPA0khZXiqobAVvuayor0fXltk7zDbXfNiiUpvOz1h5XU+EB1SloN5HR75WXSyYowLG28JldW/CFFqrDYm9RLlIFAhUVqMlZWVpSUDbYSaRlxqOPBlRV1OLEpporkc8wGVci0hqqsNLM6yGQwqFaOxVj4v3PqvFhZIWolm9mIpTNG4v0tx5Aab8Ekf/BojTtH98GS7w7Lv7XPHN+yyky81YQhPZOwpfiU3DR7ZYgdb5WkFUGf+ntkYsxG5KaFngaSVggdUuy1EmrKSBlWvP5dYrU9K2lxVnlLeWk1UnBlxRdI9vpDlPL5GIsRNrMBTS6vfI8iZU+P73E9Svzb/gcabAP7qRhdvspDnKayIpHCS9D+JoodbCU2f9gIVUXRVk1800CB8GAxBk8VWYxGVTgxGwVYTOopyuAQFRiTySjAZFRUVrTj4m641IkwrBCdgQSbGXeO7nPGr0+Nt2LJLy7E698VYdy53ZtdBaR1y4U52OK/G3f/zAR5W/1wtM8Pyk4M21PUOzUWBiEw9WE0COjbPXxlRXmn8T6a3hZpY7hjpxrl+wIpe1aAQDgp9U/LKCsrgK+6UlrTJDfodlNVVnyPpWkUqbKibGSV7jAu7WqrbXKVQoq2N0TZs6I8BgAxmgqJbxoouLKiDDXWUH0tmmOhela0Y9CuylKerw0ryp4Zoo6OYYVIJyP6pGBEn5bdy0jpxgt6YsuRU9h1vAZP33D+aRuG0+KtyEqyyat2mrsRpdVkRK+UWByWN4OLDbkjb/cEq+o393irKWSDcXY3m2pbfuVqIGlszX2fHGeRgwwQWA0EBJYxS6TpH4vJIC/BlkiVFe1GbNJeJ6GmW1o6DWQzhe5ZsaqmeIxhe1bk703q1UBGgxD0mlizchpIXVnRjkHZWyMIvs3wiM6U3pu3c5KTqIMxGw34488G45PfXNLie0FNHuybqhKEwONwlJvFDQ2z2ZwgCKqN4nqnxoYMTZmKqSGjQUCmtmdFE15SNWFFG4CUlZVEbVixKZ8LhA+b2aBotNXsWyKHleCelVjth78/pMRolgubjcH7o1iMmsqKKXRlRRlWtA22ZqMQtJRZGarMRgNMhsDz2jEoqz22FtzVnKg5eoddVlaIuoDfTjgPMRYTBmYlnHbvm0vP7S5v/3/JueGrML1TY/Gjv7clN0QTLqDeKC4ryRZ0KwFtJUU7DZQcGz6sdIvVVlYC/ztLtJnlqSepudb3WBtWjP5/Bk8DmfzTLNK9e6QpGasiFMSYjRAEdVjxVTzUfSxWkyFoxZZFM42j/d4XXgIBUBCgatI1GgSYm+lZUY7JZjaoKk1EHQ3DClEXYDMb5Y3yTuem4TlYf7ASNrMRk87PDnve8N4pcqgJV+HJVIQVaSM5JW1lJSNBXXlRVlZiLeqpFO2W9gm20FWXRMXUj3bXWKmXJS7MEmGbORBWQlVWpECg7GORKijKYBFy6bIpeBpIW2lRhReD+nuTUVBVVkLtwRIYkxGAC0RnSu9pIIYVIlKJsRix+Pbhpz3vqoEZeH7FPhgMQtg9YrIUYaVv9+BVRWmasNIzRR1olJUVbb+LtrKiXNasDCjKvX+09+NJCLEaSBACgSPWYoK9Sdpnpbmwomym9QcdkzosaCsr2mPBlRX1NJBZE07MBsNpe1YCYwqu6kghzCD4brhI1BxOAxFRh3ROejw+u+8SCFDflVlJGVCGhai+pGmmfRI1q3VS4gLfa+8qraysGA2C6rXKKovyPG1lRV66rFgNFOuf2gHUq3Hk1UCW4BBgs6infAB1z0jInhXN6h9fg20gfJg12++bjOpwYjIKqtdrVyRpf772Z0thxWIyyDdqJIpWDCtEdMZO1/9ybkYC7r2sH4qrGjF5cPCUknJqJCcleJpIeePAjKCwothALs4ib60PqPtXlKuGlD0rvi37fR/iyspKjEX5WN2fAmh6QUwhKivSNJBJXW0J2mcl5DSQemmyMrxolzZrw4t0vnRjQ+XYg1crGeXl6VaTkWGFoh7DChFF1EMT+zf7/MNXn4dnv9iH31wWfIPJ3imBik2Pbuowo6yYpMaFr9Aoz0tQVV8U1RTFaiDlyiB1ZSXUNFDwRnFSSNFWNkxGg2rKxaZZDWQxaisrQtDzqnDib+SVmAy+aSKXR7qZYnCoUo4n1GOicNizQkRd2qzx5+CXY3KDfvsHgHMz4+X+isE91bcIUO52q13No2ywTVL0vSgDivKxsuKiPK6sssRagzeFC9V0azEFBxiLotoircrx7b2iCA2hljI308Ni0twbSK60+PtotZvSKWmbf4lOhz0rRNTlhQoqgO8D/R/TR+DHE3WYOChT9ZyycVa70kgZZJR9MfGafUokygqKsiqj3GtFeqyaXgkxDSQ9DlW9sCqWEFs1m8Bpt983BYWV4J4Wk2q1kDrM2EzBU1OBnxU6rBgNgrzrL1E0YaQmoqh2SV53/HJsbshbBMy5Ig+xFmPQrQ/6pAU2rFPeDVoZSpTvF66yEmoayBZiNZCywTYmxHnS1JAyJFhNxhANtsrwIjTfcGvQVloMMBmUq4PUP0siCNDcQDF0qNG77E/RRe9/H1hZIaIO64GrzsX9V+YF7Z57TnoCLCYDRFGUb+QIQHWecupIeYNA5SZyMSFCiLKKEqqPRblHiyTU3ivaaZ/T7rNiUldSTCF6XJThJdzSZQHqoKa983OD01f5sRh5I0SKHgwrRNShhdrmPynGjA9njYHb61VtTCc9V9PowhBFD4yysqK887GysiLd8VkZYKSGXVuIPhb1aiDf80bFWG2afVa000Imzfb7FqMAiyacKPddMWkqT82tBlKeq72ZovIxwwpFC4YVIuqUBoa5G/X/3ZCP9wqPYvqYXPmYMmzEh1nGLC2BVlYspH1aTldZkSokym6QoMqK0aAKStoeFO29gEwGdWVFeysDa4jl1BJjC8KK1WRALYiiA8MKEXUp1w3JxnVD1Hu+CIKA8ed1x7c/VmCSYj8Y5Y630o65yiqF9LxNFVZ8x6whjikF3RvIZIDFqK7GBPWsmJSVF0Gzz4q6smIL05ciAqrQo+2jCXVciTvekh4YVoiIALw87QJU1jlUu/H2UdygUdqvRVl5kfpeQm4ep/jgl/ZuUS7/NBiEoKqG8saFNk0DrtloUC1VNhuCKy1KyoCkrJhoe1asISpA2tcomdnL0iVx6TIRURSIt5qC7sp82Xnd8etL++LCPilyb0xWt0APTOAeQsHBRBkCQlVWAARPAymrHGbN6iCTEFRZsWi+D/feypAjCIKqZyXclv3qZt/AzrjsZSE9MKwQEYVhMhrw6LUDVMesJiOuGpiBvWV2XNY/HQCQFm8Neq2qsqK5I7JE29Bq1kzJmDWrg5QhI9T3qrEbwvezqHtWgjevC3psDOyMG256iDo3Ll0mIupgXvv5CHi9onw/IrPRgO4JVpysdWBAlq+xV1mlkKaLXB51RULVo6K52aG2Z8XXUBu8hX/geQGiolavuumhsrKieS7cnivaKaF6/5JmbSgiag8MK0REZ8CgWSr871+NxLHqRlyS1x2Auuk2PdFXedFOnyiDQpzVpF79Y1BPCxkN0EwLBTfgKil7WLQb6hkNoSso4VcGGSHt46/sqyFqLwwrRERt4NyMBNVdqLOSbJg4KAMWkxGZ/jtGO08XVhTfGzRLlwH1ih+rSdNgaxRUS6NVlRVNP0u4fVasqvsZhZkeYmWFdMCwQkQUAYIg4JU7RqiOzbu2P+Z/sBPTRvYCACQr7m8Ub1Wv/jEI6mqJ0aBtuA2eJlKu2FAGEqOqwRYwCOGmgU6/MojTQKQHhhUionYy7aJeGJCViIH+vpb0hMDKotQ4a4h7AYXfTt9iDF4tpKSdUpIIEKCcFQoXVloSXIjaC8MKEVE7EQQBF/RKlr/PTLLh3sv6wWYyIjnOEvJ8iUEQNI2xRtX3VpMRomIiyBimsuJ738Bj9Y0MW7YyiKi9MawQEenooYn9Vd9PHpyFNftPBu2y2+TyaKaF1E20NrNRNQ1kbqZnRcmiWYEkH+c0EEURhhUioijyl6nD4HB7VbviAsCQnG6qqRkBgiqQ2MwGVYOtcsWPsmICTW5pyXSP8hxtlUbLZBDg5n781MYYVoiIoojBIKiCymdzLsHGokrcMiJHtVzaalbvs9LsnZXNypCjvreP8iaM1jA72CpDzOk2BzMZGVao7TGsEBFFsYHZiao7SN81NhdbiqsxYWAmNh+pko/HmI3wKEKCagM5zdSNV1Sed/rdbJUh5nSVFbPBgCZwO35qWwwrREQdyOOTB8qPz1Ps6xJnNcHh8sjfK0OFdgWP16tsxA1zbyBj6MeG05RWzCYD4Gj2FKJWi1in1OHDh3HXXXchNzcXMTEx6NevH5544gk4nU7VecXFxZgyZQri4uKQlpaGOXPmBJ1DRETB0hNt+OQ3Y/HNg+MBAMP7pMjPqRts1ZURb5j9WML1rCgfn6awctowQ3QmIlZZ2bt3L7xeL1555RWcc8452LlzJ2bMmIH6+no899xzAACPx4NJkyahe/fuWLt2LSorK3HnnXdCFEW89NJLkRoaEVGnkd8jSX48/9oBMArAfVeeqwooyhBiMgiqaSDVTQ3N6nsVBR4Hjp8ujJwuzBCdiYiFlauvvhpXX321/H3fvn2xb98+LF68WA4rK1aswO7du1FSUoLsbN8yveeffx7Tp0/HwoULkZiYGPK9iYgo2HmZCVjyi4sA+KZ6eqfGwuHyom/3OPkcj1dULXE2trKycrqeFRZWKBLatWelpqYGKSmBMuX69euRn58vBxUAmDhxIhwOBwoLC3HZZZcFvYfD4YDDEZgQtdvtkR00EVEHZDAI+HTOJQB8K4X6ZyZgb1ktLu6bGjZQxFkDFRRbmGZb7Q0ctUQuBKIIaLfdfQ4ePIiXXnoJM2fOlI+VlZUhIyNDdV5ycjIsFgvKyspCvk9BQQGSkpLkr5ycnIiOm4ioo4q3mhBv9f1O+vfbh+Oe8f3w7E1DEGcJ/J7q8nhV50uUy6dVS5dP8zOZVTonQeeSWavDyoIFCyAIQrNfmzdvVr2mtLQUV199NW666Sb86le/Uj0X6gKIohj2wsybNw81NTXyV0lJSWv/CEREXU6ftDj87ur+SImzYM6VechMtOHBCefC5QnEizhFWIlVhBVlcOEOtl2TqHPJrNXTQLNnz8bUqVObPadPnz7y49LSUlx22WUYNWoUXn31VdV5mZmZ2LBhg+pYdXU1XC5XUMVFYrVaYbVaWztsIiLy69EtBuvnXQ5BEHC8plE+rlwZFKuovig3jjM3s3U/UaS0OqykpaUhLS2tReceO3YMl112GYYPH44lS5bAYFAn8lGjRmHhwoU4fvw4srKyAPiabq1WK4YPH97aoRERUQtJ1euspBh8eO8YJMeaVRUU5ZRQuGbbUNizQpEQsQbb0tJSjB8/Hr169cJzzz2HkydPys9lZmYCACZMmICBAwfijjvuwLPPPouqqio8+OCDmDFjBlcCERG1k6E53eTHvxjTByaDgKQYs3xMWXE5/TQQ00pnpHfPSsTCyooVK3DgwAEcOHAAPXv2VD0nzX0ZjUZ8+umnmDVrFsaMGYOYmBhMmzZNXtpMRETt64kpgwD47vKcaDPB4xVVVRYTN1Lpkjpcz0pLTZ8+HdOnTz/teb169cInn3wSqWEQEdEZsJmNWPXb8TAZBBw7FehrOd1NCk0GNuBS2+O9gYiIKKTuCb7FDMlxFjxyTX/0TI7B5sPVzb7mdJvGUcek9zQQIzAREZ3WzHH9MHlwNu4e1xfpCVbMuSIv5HncwbZz6rTTQERE1PlkJcVgw6NXQBAE7C6148s9J3DlgHR8uaccAG9kSJHBygoREbWKNCXw/M1D8PxNQ/DCLUPl5063tJnoTPDfKiIiOiNJMWb8dHhPJNrMeGLKQFw3JBs3DM0+/QuJWolhhYiIztovxuTiL7cOw/VDe8BoEHBhn2S9h0RtSO/N/hhWiIiozeSkxGL9vMvx5l0j9R4KdSIMK0RE1KbSE2ywmY14d+YoTL0wB09MGaj3kKiDY1ghIqKIGNEnBX/46WD8ZFgPpMVb8JNhPfQeEnVQXLpMREQR1S3Wgg2PXgmjQcCXe06gtsmt95ColfS+4xMrK0REFHHSzrb/mz0WL9w8BGPPSdN5RNSRMKwQEVG76ZMWhxsv6In/uyEfeenxmH/tAL2HRB0AwwoREbW73LQ4rHxgHO4c3UfvoVAHwLBCRES6sZgM2PL4Vdj6+FV6D4WawX1WiIioS0uJsyA5zoLFt13AHXApJIYVIiKKCtecn4UXpw7Dn6cOhZX3GCIF/ttARERR5fqhPbD7qasx5/Jz9B4K+Yk6L17mPitERBR1jAYBsy/PQ/dEG3YercHbm0v0HhLpiGGFiIiiksVkwB0X98apBie+L6qEySDg4Ml6vYdFOuA0EBERRbVusRasfugy/PfuUXoPhXTCsEJERB1CarwV6x65HG//+mK9h9Ll6L10mdNARETUYWR3i0FWkg3TR/dBdYMTH20r1XtI1A4YVoiIqEMRBAELrhsEj1dE6alGHK5swMlah97DogjiNBAREXVIRoOAd2aOxn9mcFqos2NYISKiDu2c9Hgs+sn5mHR+lt5DoQjhNBAREXV400b2wvVDs7GztAZHKhv0Hg61MVZWiIioU4izmvDNg+Px2s9H6D0UamMMK0RE1GkIgoArB6Rj6YyRGHtOmt7D6TREndcuM6wQEVGnIggCRvdLw99uvwC/Gpur93CoDTCsEBFRp5RoM+OxyQPx8NXn6T0UOksMK0RE1KnNGn8Otj5+ld7DoLPAsEJERJ1ecpwF790zGrMvO0fvoXRIOu+2z6XLRETUNQzvnYzhvZPRLdaMpz/do/dwqBXapbLicDgwdOhQCIKAbdu2qZ4rLi7GlClTEBcXh7S0NMyZMwdOp7M9hkVERF3Qry7pi8W3XaD3MKgV2iWsPPzww8jOzg467vF4MGnSJNTX12Pt2rVYtmwZ3nvvPfz2t79tj2EREVEXdXV+Jv5y6zC9h0EtFPGw8vnnn2PFihV47rnngp5bsWIFdu/ejbfeegvDhg3DlVdeieeffx6vvfYa7HZ7pIdGRERdlCAIuG5INv579ygMyemm93Cins7brEQ2rJw4cQIzZszAm2++idjY2KDn169fj/z8fFXVZeLEiXA4HCgsLAz5ng6HA3a7XfVFRER0Ji7KTcFH947B7Rf30nso1IyIhRVRFDF9+nTMnDkTI0aE3vq4rKwMGRkZqmPJycmwWCwoKysL+ZqCggIkJSXJXzk5OW0+diIi6lqevuF8/P324XoPg8JodVhZsGABBEFo9mvz5s146aWXYLfbMW/evGbfTxCEoGOiKIY8DgDz5s1DTU2N/FVSUtLaPwIREVGQCQMz8MBV5+o9DAqh1UuXZ8+ejalTpzZ7Tp8+ffD000/j+++/h9VqVT03YsQI3HbbbXjjjTeQmZmJDRs2qJ6vrq6Gy+UKqrhIrFZr0HsSERGdLYNBwJwr8nBx31T8edV+fHegUu8hRQ1R551WBDFCdycqLi5W9ZOUlpZi4sSJePfddzFy5Ej07NkTn3/+OSZPnoyjR48iKysLAPD222/jzjvvRHl5ORITE0/7c+x2O5KSklBTU9Oi84mIiFqizyOf6j2EqHH7xb3w9A3nt+l7tubzO2KbwvXqpW5Wio+PBwD069cPPXv2BABMmDABAwcOxB133IFnn30WVVVVePDBBzFjxgwGDyIi0tWyX1+Mqa9+r/cwCDpvt280GvHpp5/CZrNhzJgxuPnmm3HDDTeEXOZMRETUni7um4o1D13Gpc3Qf+lyu22336dPH4SacerVqxc++eST9hoGERFRi/VKjcVH947BvPd/wH82ckGHXngjQyIiotMouHEwFv4kX+9hdFkMK0RERC0w9cJeWDBloN7D6JIYVoiIiFrAaBAwfUwuHp/c9QLLyL6puv58hhUiIqJWuGtsLj6bc4new2hX1w0Jvhlxe2JYISIiaqWB2YnY9vur9B5Gl8GwQkREdAa6xVrw8NXn6T2MLoFhhYiI6AzNGn8O/jrtAr2H0ekxrBAREZ2FSYOzsOq34/QeRqfGsEJERHSW+nWPx7M/G6z3MDothhUiIqI2cNOIHLw+fYTew+iUGFaIiIjayOX9M7Dy/kv1Hkanw7BCRETUhvIyEvDSrcP0HkanwrBCRETUxqYMycbe/7samYk2vYfSKTCsEBERRYDNbMQ7M0chJc6i91A6PIYVIiKiCMlJicU3D43XexgdHsMKERFRBCXazGy6PUsMK0RERBGWl5GAZb++WO9hdFgMK0RERO3g4r6pWD63a92tua0wrBAREbWT/pmJeJsVllZjWCEiImpHF+Wm4Fdjc/UeRofCsEJERNSOBEHAY5MHYjVXCbUYwwoREZEOeqfG4Zmf8uaHLcGwQkREpJObL8zByNwUvYcR9RhWiIiIdPTotQP0HkLUY1ghIiLS0ZCcbtj46BV6DyOqMawQERHpLD3Rhu2/n6D3MKIWwwoREVEUSIo14y+3DtN7GFGJYYWIiChKXDckGzcO66H3MKIOwwoREVEUef7mIbiIK4RUGFaIiIiiiCAIeH36hUiNs+g9lKjBsEJERBRl4q0mfPPQeFhN/JgGGFaIiIiiUoLNjHdnjtZ7GFGBYYWIiChKnd8zCUt/NRLzrumv91B0xbBCREQUxUafk4a7x/XTexi6inhY+fTTTzFy5EjExMQgLS0NN954o+r54uJiTJkyBXFxcUhLS8OcOXPgdDojPSwiIqIO5YkpA/Uegm5MkXzz9957DzNmzMCiRYtw+eWXQxRF7NixQ37e4/Fg0qRJ6N69O9auXYvKykrceeedEEURL730UiSHRkRE1KH8Ykwu7I1u/OnL/XoPpd0JoiiKkXhjt9uNPn364Mknn8Rdd90V8pzPP/8ckydPRklJCbKzswEAy5Ytw/Tp01FeXo7ExMTT/hy73Y6kpCTU1NS06HwiIqKO7K3vj+CxD3e26888/IdJbf6erfn8jtg00JYtW3Ds2DEYDAYMGzYMWVlZuOaaa7Br1y75nPXr1yM/P18OKgAwceJEOBwOFBYWhnxfh8MBu92u+iIiIuoqbr+4t95DaHcRCyuHDh0CACxYsACPPfYYPvnkEyQnJ2PcuHGoqqoCAJSVlSEjI0P1uuTkZFgsFpSVlYV834KCAiQlJclfOTk5kfojEBERRaWFP8nXewjtqtVhZcGCBRAEodmvzZs3w+v1AgDmz5+Pn/70pxg+fDiWLFkCQRDwzjvvyO8nCELQzxBFMeRxAJg3bx5qamrkr5KSktb+EYiIiDq020b2xpCcbnoPo920usF29uzZmDp1arPn9OnTB7W1tQCAgQMD3ctWqxV9+/ZFcXExACAzMxMbNmxQvba6uhoulyuo4qJ8D6vV2tphExERdSqv3TEcFy1apfcw2kWrw0paWhrS0tJOe97w4cNhtVqxb98+jB07FgDgcrlw+PBh9O7tm28bNWoUFi5ciOPHjyMrKwsAsGLFClitVgwfPry1QyMiIuoy0hNt+Py+S3DNn7/VeygRF7GelcTERMycORNPPPEEVqxYgX379uGee+4BANx0000AgAkTJmDgwIG44447sHXrVqxatQoPPvggZsyYwZU9REREpzEgKxF7/+9qvYcRcRHdFO7ZZ5/F1KlTcccdd+DCCy/EkSNH8NVXXyE5ORkAYDQa8emnn8Jms2HMmDG4+eabccMNN+C5556L5LCIiIg6DZvZiEU/OV/vYURUxPZZaS/cZ4WIiLo6t8eLpz/dg3+uOxyR9++0+6wQERFR+zAZDVhw3SCseegyvYcSEQwrREREnUSv1Fg8Prnz3UOIYYWIiKgTGdU3Ve8htDmGFSIiok5kYHYiZlySq/cw2hTDChERUScz75oBSLS1eiu1qMWwQkRE1MkYDAK+enC83sNoMwwrREREnVBavBVrf9c5VgcxrBAREXVSPZNj8f28K/QexlljWCEiIurEMpNseOSa/noP46wwrBAREXVyV/RP13sIZ4VhhYiIqJPLy0jAK3cM13sYZ4xhhYiIqAuYOCgTj00aoPcwzgjDChERURcxeXC23kM4IwwrREREXURmkg1bH79K72G0GsMKERFRF5IcZ+lwgYVhhYiIqItJjrNg4qAMvYfRYgwrREREXdCC6wbpPYQWY1ghIiLqgrKSYrDwJ/l6D6NFGFaIiIi6qGkX9cLHs8foPYzTYlghIiLqogRBwOCe3fD45IF6D6VZDCtERERd3F1jc/UeQrMYVoiIiAiTB2fpPYSwGFaIiIgIf5k6TO8hhMWwQkRERDAYBCyfe4newwiJYYWIiIgAAP0zE7HryYn489Sheg9FhWGFiIiIZHFWE3p0i9F7GCoMK0RERKSSkWiTHy+dMVLHkfiY9B4AERERRZeclFj8/fYL0C3Wgov7puo9HIYVIiIiCnZ1fvQsZeY0EBEREUU1hhUiIiKKagwrREREFNUYVoiIiCiqRTSs7N+/H9dffz3S0tKQmJiIMWPG4Ouvv1adU1xcjClTpiAuLg5paWmYM2cOnE5nJIdFREREHUhEw8qkSZPgdrvx1VdfobCwEEOHDsXkyZNRVlYGAPB4PJg0aRLq6+uxdu1aLFu2DO+99x5++9vfRnJYRERE1IEIoiiKkXjjiooKdO/eHWvWrMEll/juNVBbW4vExER8+eWXuOKKK/D5559j8uTJKCkpQXZ2NgBg2bJlmD59OsrLy5GYmHjan2O325GUlISampoWnU9ERET6a83nd8QqK6mpqRgwYAD+9a9/ob6+Hm63G6+88goyMjIwfPhwAMD69euRn58vBxUAmDhxIhwOBwoLCyM1NCIiIupAIrYpnCAIWLlyJa6//nokJCTAYDAgIyMDy5cvR7du3QAAZWVlyMjIUL0uOTkZFotFnirScjgccDgc8vd2uz1SfwQiIiKKAq2urCxYsACCIDT7tXnzZoiiiFmzZiE9PR3ffvstNm7ciOuvvx6TJ0/G8ePH5fcTBCHoZ4iiGPI4ABQUFCApKUn+ysnJae0fgYiIiDqQVvesVFRUoKKiotlz+vTpg++++w4TJkxAdXW1ai4qLy8Pd911Fx555BH8/ve/x0cffYTt27fLz1dXVyMlJQVfffUVLrvssqD3DlVZycnJYc8KERFRB9KanpVWTwOlpaUhLS3ttOc1NDQAAAwGdfHGYDDA6/UCAEaNGoWFCxfi+PHjyMry3YNgxYoVsFqtcl+LltVqhdVqbe2wiYiIqIOKWIPtqFGjkJycjDvvvBPbt2/H/v378dBDD6GoqAiTJk0CAEyYMAEDBw7EHXfcga1bt2LVqlV48MEHMWPGDFZJiIiICEAEG2zT0tKwfPlyzJ8/H5dffjlcLhcGDRqEjz76CEOGDAEAGI1GfPrpp5g1axbGjBmDmJgYTJs2Dc8991yLf440i8VGWyIioo5D+txuSTdKxPZZaS9Hjx5lky0REVEHVVJSgp49ezZ7TocPK16vF6WlpUhISAi7guhMSc27JSUlnJaKIF7n9sHr3D54ndsHr3P7idS1FkURtbW1yM7ODupv1YrYNFB7MRgMp01kZysxMZH/MbQDXuf2wevcPnid2wevc/uJxLVOSkpq0Xm86zIRERFFNYYVIiIiimoMK82wWq144oknuK9LhPE6tw9e5/bB69w+eJ3bTzRc6w7fYEtERESdGysrREREFNUYVoiIiCiqMawQERFRVGNYISIioqjGsBLG3/72N+Tm5sJms2H48OH49ttv9R5Sh1ZQUIALL7wQCQkJSE9Pxw033IB9+/apzhFFEQsWLEB2djZiYmIwfvx47Nq1S6cRdw4FBQUQBAFz586Vj/E6t41jx47h9ttvR2pqKmJjYzF06FAUFhbKz/M6tw23243HHnsMubm5iImJQd++ffHUU0/B6/XK5/Bat96aNWswZcoUZGdnQxAEfPjhh6rnW3JNHQ4HfvOb3yAtLQ1xcXG47rrrcPTo0cgMWKQgy5YtE81ms/jaa6+Ju3fvFu+77z4xLi5OPHLkiN5D67AmTpwoLlmyRNy5c6e4bds2cdKkSWKvXr3Euro6+Zw//OEPYkJCgvjee++JO3bsEG+55RYxKytLtNvtOo6849q4caPYp08fcfDgweJ9990nH+d1PntVVVVi7969xenTp4sbNmwQi4qKxC+//FI8cOCAfA6vc9t4+umnxdTUVPGTTz4Ri4qKxHfeeUeMj48XX3zxRfkcXuvW++yzz8T58+eL7733nghA/OCDD1TPt+Sazpw5U+zRo4e4cuVKccuWLeJll10mDhkyRHS73W0+XoaVEC666CJx5syZqmP9+/cXH3nkEZ1G1PmUl5eLAMTVq1eLoiiKXq9XzMzMFP/whz/I5zQ1NYlJSUni3//+d72G2WHV1taKeXl54sqVK8Vx48bJYYXXuW387ne/E8eOHRv2eV7ntjNp0iTxl7/8perYjTfeKN5+++2iKPJatwVtWGnJNT116pRoNpvFZcuWyeccO3ZMNBgM4vLly9t8jJwG0nA6nSgsLMSECRNUxydMmIB169bpNKrOp6amBgCQkpICACgqKkJZWZnqulutVowbN47X/Qzce++9mDRpEq688krVcV7ntvHxxx9jxIgRuOmmm5Ceno5hw4bhtddek5/ndW47Y8eOxapVq7B//34AwPbt27F27Vpce+21AHitI6El17SwsBAul0t1TnZ2NvLz8yNy3Tv8jQzbWkVFBTweDzIyMlTHMzIyUFZWptOoOhdRFPHAAw9g7NixyM/PBwD52oa67keOHGn3MXZky5Ytw5YtW7Bp06ag53id28ahQ4ewePFiPPDAA3j00UexceNGzJkzB1arFT//+c95ndvQ7373O9TU1KB///4wGo3weDxYuHAhbr31VgD8dzoSWnJNy8rKYLFYkJycHHROJD4rGVbCEARB9b0oikHH6MzMnj0bP/zwA9auXRv0HK/72SkpKcF9992HFStWwGazhT2P1/nseL1ejBgxAosWLQIADBs2DLt27cLixYvx85//XD6P1/nsvf3223jrrbewdOlSDBo0CNu2bcPcuXORnZ2NO++8Uz6P17rtnck1jdR15zSQRlpaGoxGY1AyLC8vD0qZ1Hq/+c1v8PHHH+Prr79Gz5495eOZmZkAwOt+lgoLC1FeXo7hw4fDZDLBZDJh9erV+Mtf/gKTySRfS17ns5OVlYWBAweqjg0YMADFxcUA+O9zW3rooYfwyCOPYOrUqTj//PNxxx134P7770dBQQEAXutIaMk1zczMhNPpRHV1ddhz2hLDiobFYsHw4cOxcuVK1fGVK1di9OjROo2q4xNFEbNnz8b777+Pr776Crm5uarnc3NzkZmZqbruTqcTq1ev5nVvhSuuuAI7duzAtm3b5K8RI0bgtttuw7Zt29C3b19e5zYwZsyYoKX3+/fvR+/evQHw3+e21NDQAINB/VFlNBrlpcu81m2vJdd0+PDhMJvNqnOOHz+OnTt3Rua6t3nLbicgLV3+xz/+Ie7evVucO3euGBcXJx4+fFjvoXVY99xzj5iUlCR+88034vHjx+WvhoYG+Zw//OEPYlJSkvj++++LO3bsEG+99VYuP2wDytVAosjr3BY2btwomkwmceHCheKPP/4o/vvf/xZjY2PFt956Sz6H17lt3HnnnWKPHj3kpcvvv/++mJaWJj788MPyObzWrVdbWytu3bpV3Lp1qwhAfOGFF8StW7fKW3S05JrOnDlT7Nmzp/jll1+KW7ZsES+//HIuXW5vf/3rX8XevXuLFotFvOCCC+QltnRmAIT8WrJkiXyO1+sVn3jiCTEzM1O0Wq3ipZdeKu7YsUO/QXcS2rDC69w2/ve//4n5+fmi1WoV+/fvL7766quq53md24bdbhfvu+8+sVevXqLNZhP79u0rzp8/X3Q4HPI5vNat9/XXX4f8f/Kdd94pimLLrmljY6M4e/ZsMSUlRYyJiREnT54sFhcXR2S8giiKYtvXa4iIiIjaBntWiIiIKKoxrBAREVFUY1ghIiKiqMawQkRERFGNYYWIiIiiGsMKERERRTWGFSIiIopqDCtEREQU1RhWiIiIKKoxrBAREVFUY1ghIiKiqMawQkRERFHt/wN+sl74EEv7CwAAAABJRU5ErkJggg==\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -366,18 +372,82 @@ "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={'a': -0.5913,\n", + " 'b': 0.2579,\n", + " 'd': -0.1300,\n", + " 'g': 0.4061,\n", + " 'w': 1.1630},\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(1.2754, grad_fn=)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] } ], "metadata": { + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + }, "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -390,9 +460,6 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" } }, "nbformat": 4, diff --git a/examples/ode/SEIR/SEIRTest_fit.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb index fdf2724a..8dd0491c 100644 --- a/examples/ode/SEIR/SEIRTest_fit.ipynb +++ b/examples/ode/SEIR/SEIRTest_fit.ipynb @@ -54,11 +54,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -85,7 +85,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", @@ -98,8 +97,9 @@ " grad_fn=)" ] }, + "execution_count": 5, "metadata": {}, - "execution_count": 5 + "output_type": "execute_result" } ], "source": [ @@ -112,13 +112,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -136,11 +138,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -166,13 +168,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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", 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -200,8 +204,8 @@ }, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ ")}\n", "Epoch: 21\t Loss: tensor(0.0034, grad_fn=)\n", @@ -612,7 +616,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "{'a': 0.09996917098760605,\n", @@ -620,8 +623,9 @@ " 'g2': 0.19910137355327606}" ] }, + "execution_count": 10, "metadata": {}, - "execution_count": 10 + "output_type": "execute_result" } ], "source": [ @@ -631,11 +635,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -643,7 +647,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", @@ -656,8 +659,9 @@ " grad_fn=)" ] }, + "execution_count": 11, "metadata": {}, - "execution_count": 11 + "output_type": "execute_result" } ], "source": [ @@ -671,13 +675,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -705,18 +711,78 @@ "scipy.io.savemat(\"SEIR_fit.mat\", {\"x\": results_test_np})" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"a\": 0.09996917098760605, \"g1\": 0.24255302548408508, \"g2\": 0.19910137355327606},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(1.0925e-05, grad_fn=)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] } ], "metadata": { + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + }, "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -729,9 +795,6 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" } }, "nbformat": 4, diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb index 9e99d3b4..ce2cdab2 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb +++ b/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb @@ -54,11 +54,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -85,7 +85,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", @@ -98,8 +97,9 @@ " grad_fn=)" ] }, + "execution_count": 5, "metadata": {}, - "execution_count": 5 + "output_type": "execute_result" } ], "source": [ @@ -112,13 +112,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -136,11 +138,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Runge-Kutta method for training" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -166,13 +168,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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", 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -196,8 +200,8 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "Epoch: 0\t Loss: tensor(4.6512e-08, grad_fn=)\n", "{'a': Parameter containing:\n", @@ -316,14 +320,14 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "{'a': 0.09994731843471527, 'g1': 0.2934265434741974, 'g2': 0.1998223513364792}" ] }, + "execution_count": 10, "metadata": {}, - "execution_count": 10 + "output_type": "execute_result" } ], "source": [ @@ -333,11 +337,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -345,7 +349,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", @@ -358,8 +361,9 @@ " grad_fn=)" ] }, + "execution_count": 11, "metadata": {}, - "execution_count": 11 + "output_type": "execute_result" } ], "source": [ @@ -373,13 +377,15 @@ "metadata": {}, "outputs": [ { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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", 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -407,18 +413,78 @@ "scipy.io.savemat(\"SEIR_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={'a': 0.09994731843471527, 'g1': 0.2934265434741974, 'g2': 0.1998223513364792},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(1.3294e-07, grad_fn=)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] } ], "metadata": { + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + }, "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -431,9 +497,6 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" } }, "nbformat": 4, diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb index 2d60ae71..0cb84266 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -49,15 +49,15 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -79,7 +79,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", @@ -91,8 +90,9 @@ " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" ] }, + "execution_count": 5, "metadata": {}, - "execution_count": 5 + "output_type": "execute_result" } ], "source": [ @@ -105,29 +105,34 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stderr", + "output_type": "stream", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", + " ax = fig.gca(projection='3d')\n" ] }, { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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\n" 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -145,11 +150,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -157,10 +162,11 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stderr", + "output_type": "stream", "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", + " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" ] } ], @@ -187,8 +193,8 @@ }, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "ameter containing:\n", "tensor(16.9669, requires_grad=True), 'beta': Parameter containing:\n", @@ -593,7 +599,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "{'sigma': Parameter containing:\n", @@ -604,8 +609,9 @@ " tensor(3.4880, requires_grad=True)}" ] }, + "execution_count": 9, "metadata": {}, - "execution_count": 9 + "output_type": "execute_result" } ], "source": [ @@ -615,11 +621,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -636,7 +642,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", @@ -648,8 +653,9 @@ " [-7.8803e+00, -7.8803e+00, 1.7804e+01]], grad_fn=)" ] }, + "execution_count": 11, "metadata": {}, - "execution_count": 11 + "output_type": "execute_result" } ], "source": [ @@ -662,29 +668,34 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stderr", + "output_type": "stream", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", + " ax = fig.gca(projection='3d')\n" ] }, { - "output_type": "display_data", "data": { - "text/plain": "
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", 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\n" 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", 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hIQoLCwHAq+3Z11qAtD1HUnOIp24aQbhpsXDhj2yGhoaQkpKC5cuX8yk2yV5gcUjkkiCEMrsiZuRC0zQ6Ozuh1+uxadMm5OfnL/r6aNNiHMehr68Pg4ODfmX5fX9fCOK9UlRUxM+FGI3GBXL4RMsrlFbdRCDeHXD+PoNg1gKjo6NgWdbLWiAtLS2kz1LsAcpQEGty8QW5jwmZkGuQXDoXh0QuCUCo9sNiRC4sy2J+fh7Nzc1Qq9XYuXOnX/XeQK+PdHFkGAYWiwUul4t3p1wMweZiyFwIkcOfn5+H0WjkW3WVSiW/OObk5ECtVkd03UsZoUQSFBXYWsBkMmFwcJAX6VxsxkbsFFUoiDe5kHMKCUOyhA4NErnEEb6+K4tN2kcTOZDX0zSNo0ePYsWKFaiurg5bZDASciG5fgBoaGgIqTAfzrkoiuJbdVesWOGlUEzSfikpKXxUk52dHXPRyMWuN1nPRVELrQXm5+e9ZmyExC20Fjgd02L+QGqhvvBHNuQ/yRJaIpe4QdhiDPifUvdFNDUPmqbR398PmqaxdetWvrMoHMhksrAk+0l+uq+vD0VFRZibmwu54yuah02oUFxVVcV3TxmNRvT398Nut3s1B8QTyZAWCwcymQyZmZnIzMzkiZv42ExMTPDWAtnZ2VCpVHFfJBOVigulAUL4TPuzhA4kwnm6Kj5L5BJj+JtdCfVGijQtNjc3h+bmZv4GjoRYgPAiJ7fbjba2NszNzWHr1q1wuVyYm5sL63xiLcSke4rUlRwOB5/26ejogMvlgs1mA8uyEet4JSNiQWRyudxrxkZoLTA9PQ2n04ljx47xv5OVlRXTGZtEpcUiOWcwsvksuHRK5BJDRCo4SRAuuXAch5GREZw8eRKVlZUoLCzEkSNHwr5uglBTVWazGc3NzUhLS8POnTuhUqmg0+mSRnLfVzSyubkZcrkcZrPZS8eLpNHEti+Od7dYLCG0FsjJyUFvby8qKipgMpnQ398Pm83mZS2QlZUlagt5MqXFwkWoZHO6uHRK5BIjsCyLmZkZqNXqiBercMjF7Xajvb0ds7Oz2Lx5M3JycmCz2aLazS6WluM4DqOjo+jp6UFVVRUqKir497kYMfkTc4xHCokMyGVmZi6oMQjtiwnR5OTkxN1RMlLEuwZCFvqCggJ+CJe0kJtMJvT09MDpdHrN2GRmZka1UCeqiSAWM1aByMafS+fBgwdRV1eHDRs2iH4dsYJELiJDOLvS3d2N8vJyXqsrXIRKLrOzs2hpaUFqaip27drFL4aEHCJddIKlxWiaRkdHB4xGI09mvq9NVsl9IfzVGHylVVJTU73si8NpDlhqNZdozydsIQf8z9gIO9HCTUku5chlMQQjmyeffBK33367RC6fVfimwcgNEikWIxeO4zA8PIze3l5UV1djxYoVC4Ywgch3XoEIwre12V/bb7jkkiwdVf6kVcgwZ29vr9e0e05OjqgmX2Ig0eTii2AzNsPDwwDgRTapqalBj5nIVuR4Q0g2Vqs1JHvxZIJELiLB3+yKXC4Pq9vKF8HIxeVyoa2tDfPz89iyZQtfcBWC3JiREpy/tNj4+Dg6OzsXbW1O1rRYuFAqlV5pH+FOvK2tLaQBxNOp5iJEJCKSvjM2JCVpMBjQ39/v1UDgr/4Vb3IhkUMiNxDEfoMIky4VSOQSJYSzK6RNUmxtMN9Fw2QyoaWlBRkZGXwBPdDrAUR8DcIFXyh0GcqE/1JJi4UL3504MfkyGo38AKJwmPN09KgRni8aMhPOKxFrAdL2LKx/+X6e8faPAeLrWeMPNpsNqampCb2GcCGRSxRgWRY0TQfsBhODXIBTDzHHcRgcHER/fz9qampQXl4e9OEWg1xYluX9XuRyeVChS9/XJmtaDBBnIaaohSZfZHGcmprCyZMnQVEUGIbhzb5i2RyQiJqLmIsuUQbIyspCRUWF13Ds+Pg4urq6AACDg4PIz89HVlZWzJstyLOTaNFUKS32GYFwdiWYMqxY5EJIrLW1FVarFdu2bUNmZuair482LUZRFJxOJz766COUlpYu8HtZ7LWLdZoJf56sabFw4Ls40jSNEydOQCaTYXh4GB0dHV5S+GK36SYiLRbL8wmHYwFPKviDDz6AXC7H0NAQLBYL/3lG0mwRCoQbx0SBZVnYbDaJXE53+Eq4BJu0F6PmAgAGgwGdnZ3IysrCzp07wxpSi5TgWJbF5OQkrFYrNm3axCvshopII5dESIrECgqFAkqlEoWFhSgpKYHL5eJTaKRN11fpOdpFLNkK+mKCfDbV1dVQKBRwuVx8Zx9pthDO2Ihh0xDu4HMsYLVaAUCquZzOEPqukMnaYBBDeBIAWlpasHr1al7yO9xjhBsR2O12NDc3w+VyITU1NWxiifS8QHwWrEQtFP6k8InS89jYGN8cQNqeF+uc8sVST4stBl9zMpVK5dVsIVRi6Orqgsvl8rIWiKSzL15tyMFAyEWquZyGWMx3JRBkMtkC35JQ4XQ60draCgDYtGmTX6fIUBAuwc3MzKCtrQ1FRUXIzs7G0NBQROf9LNRcQkWg96bVarFs2TIsW7bMS52YdE6ROg2JbBZTs453WjHeA42LFdd9lRiEnX1C8g7HWiDRnWKAh1xUKtWSGeYlkMhlEUQj4RKu8CMBMdfKzc2FTCaLeAiTXEMo5CK0IF63bh1KSkowMzMTVb0m0sjldEI4Ss++6sSkmD05OYmenh5oNBovpWff9GgyDFHGEoTMQjknRZ2yaSDkTTr7iLUAkf0JZi3AMEzCi/kWiyXsKDYZIJFLEBCfhkjzrnK5PKyogWVZ9Pf3Y2hoiDfX+te//iW6G6UvfC2ISeEwmiJ7sNfSNI329nbYbDa+YEs60E43cokUwpZm4JRgJGl59mcD/VlIi0V6Pn+dfRaLxcsTSBgpkhmbZIlcotlgJgoSufgBEZJzOBxQq9URF/TCSUmRBd7lcmHHjh188S4a2f1QrsFgMKClpcXLgpggHFVkXwQq0Aun+4uKimA2m/lhRMAzpJmXl5e0zpKJglAwEvDW8CI20BqNBhzHwWw2i9IcsBjinRYTk8xkMpmXJ5C/SJHoArIsC6fTmTADOtKGvNSeB4lcfEDSYKOjo9DpdNi8eXPEX2qo5KLT6dDa2oqCgoIFC7xYbpS+4DgO/f39QS2Io41cyHnInycmJtDR0YHy8nJUVlbC7Xbzk9pmsxknTpyAwWDA4OAgb1BFIpullm8miFU04c8GemBggNeZA2JvA53sigDhwF+kaDabMTY2BpfLhQ8//BApKSlebeSxtBYQwmq1LrliPiCRixeIhAvHcXxKK5qHZ7Gai7DOsXbtWixbtszvMaKdlfElCJfLhZaWFtjt9qAWxNFETUJyYVkW3d3dmJiYwMaNG1FQUOD1uZB6AwDU1tbycvhGoxEjIyPo7OwUdT5kqe0AFwOpL2RlZYFlWaxfv36Bm6RCofBSehZjF06ek3ghnikqhUKB3NxcXp147dq1fNvzwMAAL8cibHuOldvpUhygBCRyAeB/dkWhUEQ1owIEr7nY7Xa0tLSApmmvOocvxJKQITCZTGhubkZWVtaiFsRiRC52ux3t7e1gGAY7d+4MmDsWLvj+hufIfEh3dzdcLhff9UPmQ8IljNOxtkPek6+sir9Jd6ENdKS78ER0iyXKKMzXgM7pdPI1MH/WAhkZGaIRr1RzWaLwtR8mN2+knV5CBCIG0u5bWFiINWvWBL0JxUiLkWl4YkEcinQMeW20NZdjx46hoKAAa9eu9Xqfgc7tb9EXzoeQFJDRaITRaMTw8PACPa9Q5GnihXimjgKdy5esF7OBDnVhPN0UAfwh0JyLWq1eMLPkay0gnLGJpgYmRS5LDEIJF3/dYOF2evmDLzGwLIuenh6MjY2htrYWxcXFYR8jkmtwu91oamriLYizsrJCfm2k7cRkPqaysnKBFYA/hCpVI2wxLS0t5c2+jEYjr+dFWnbjnRtPNEJd7P3twskwZ0dHB78wksgmUGS4lLrFojlnKEQbzFpgZGQEHMeFPWNDQGRulho+k+QSyuyKGJGLUP7FZrOhpaUFHMdh586dIRfooiUXhmHQ29vLS8eEUxiPJC3mdrvR1taGubk5AEBJSUlQWX5/fw4HQrMvouflb1dOyCZQfSmWSHTkshjUarXX8CFZGI1Go5cNtDAyJFHt6Z4Wi2RC35+1ABmQJTM2wmh7MWttm80mpcWWAoQSLsFajMWMXKamptDe3o6SkhKsWrUqrFxspORCLIjNZjMKCgpQV1cXkXRMOOeen59HU1MTUlJS0NDQgHfffTfsKf1oayG+LbsOh4PflZOWZ6JLRXLZsVwg413bifa9+C6MQhvomZkZ9Pb28jbQdrs9rjvqREUu0Rbq/Q3I+n6mpDuS/CdUY7BarRFJMCUanxlyCVfCRYzIBTjlbV9bW8tbv4aDSMhFaEFMdpuRLDrhLPbERKyiogJVVVX8vyfa00Wj0aCkpIRPV1gsFnR3d8Nms+GTTz45bVqegdgQmT8baNLJZ7fbMTg4iJmZGa9Ovlh1TcU7DQd4Ihex74lAnylpuOju7oZGo8Hs7CwmJydhsVi8nqlo8PTTT+Ppp5/m09br1q3Dj370I+zZsweA5zN+4IEH8Oyzz8JkMmH79u148sknsW7durDP9Zkgl0gkXEjkEmmqwWq1orW1lU+DRRrWhksuvhbEXV1dUTlRAsHTLSzLoqurC1NTUwtMxJJNX4zsINPS0qBWq1FeXs4vlKOjo6K3PAvPGw/Eo8AubA6Yn59HXl4e1Gq1lzKxsGsqMzNTNEJIZLdYLOHbcEFSu6+++iqeeOIJ9Pf348MPP4Rer8c555yDM888M+S6qS9KS0vx05/+FNXV1QCAF154AZdccgmampqwbt06PPLII/j5z3+O559/HitXrsT+/ftx3nnnoaenJ2xV5tOeXPzZD4cCsqhE4p9NhgWLi4thtVqj6l4Kh1z8WRBHU7NZTAafqCdzHIeGhoYFBBoJucQzjRSPlud4IhHyLwqFIqAN9Pj4OBiG8RrmjGbSPJkL+mKCpHavvfZaXHvttbjwwguxdu1a0DSNe+65BxzHobu7O6JjX3zxxV5/f/DBB/H000/j6NGjWLt2LR577DHcd999+PKXvwzAQz6FhYV4+eWXcdNNN4X3PiK6wiUA39mVcCVcyE0cjnCd0Ap448aNyMrK4tVYI71BQyGHYBbEYrQT+3uo9Xo9WlpagrZTR0IWiZw/WazlmaIor0HEUDYN8bY5TrQcS7g20OFsvJKpFTmesNlsOPPMM3H11VcD8HSPiQGGYfDnP/8ZVqsVDQ0NGBwcxNTUFHbv3s3/jlqtxplnnokjR45I5AIsnF0JVUlVCGHkEgosFguam5uhUCh4K2BCbLEkl8UsiKOZshemxQh8ZWNKS0sDvj7Z0mLhYKm2PCfT3Ik/sUjyGU5PT+PkyZNQq9U80SxmA326psUWg6/8S7RNFG1tbWhoaIDD4UBaWhoOHjyItWvX4siRIwCwoHmgsLAQw8PDYZ/ntCIXMrsyPj4Os9mMmpqaiB82QkihFPVJOqqsrAw1NTVeg5hA5B725DoCvZ50oQWzIBYrLQZ40kZtbW2wWCxBZWOEr0/GtFikIqShtjz71hpOp5pLNOfz9xmSmpc/G2hfSZVEtSInUnKftIaL6UK5atUqNDc3Y3Z2Fn/5y19w7bXX4vDhw/zPfb/TSO+r04ZchEV7p9MJs9kc9YO2mE0xTdPo7OyETqdbkI4CTqXiorU6JhEQgVCra/369UHbFMWQcCGKsc3NzUhLSwvLajlZ02KxbHkeHx/njalcLhccDkdcFv5kSIuFA6LflZubC+BUzctkMnlJqhDCjkXn1mJIxsglWqhUKr6gv2XLFnzyySd4/PHHcffddwPwbFqFA94zMzMRtUKfFuTiO7uiUCiinlEBgs+6kK4slUqFXbt2BXQJFFt4UlhED6ULLRo3TKGacX9/PyorK1FZWRnyAhZuSi6Z0mLhwl/Ls9FoxOzsLHp7ezE8PBzzludETMyL+Z0tZgNN0zQ0Gg1UKlVENtCRIBEFfV/EWv6F4zg4nU5UVFSgqKgIb731Furq6gB4CP/w4cN4+OGHwz7ukiaXQLMri0UcocLfrAvHcRgbG0N3dzdWrFiBqqqqoA+0mMKTQgvi1atXh3TTRxO5kPMODg6irq6O36WHg2RMi8UawqG5qakpVFZWQi6Xx7zlOdnTYuHC1wa6paUFFEVFbAMdCRJd0GcYhq+NiIF7770Xe/bswfLlyzE/P48//vGPOHToEF5//XVQFIU77rgDDz30EGpqalBTU4OHHnoIKSkpuOaaa8I+15Ill2CzK2KRi+9xyHCiwWBAfX09H84HQ7TDmOT1PT09XhbE4bw+EnKz2Wxobm4GAGzatCmk9+qLZO0WS0TqKB4tz6eTvwoAcBxgtQIWC4X5eQq9vRmQyzOh1RZgfh7Q6+3Q6RwwGFyYnTXD5XKAYVLgdmuQnq5AVRVQWcmhooJFZSWL4mIO4V5uoiMX0hkmFrlMT0/j61//OiYnJ5GZmYkNGzbg9ddfx3nnnQcAuOuuu2C323HzzTfzQ5RvvvlmRDWfJUkui82uiEkuZGGem5tDc3MztFotdu3aFbIfRrQyMgzDwGg08u2C4d5kkZALMS8rLi6GxWKJOIWTrAX9RCMWLc/A0o1cOA4YH6fQ1SVDT48MXV0ydHXJ0dMjw/y88PgbfV4Z3mCyWs1hxQrWi3AqKlhUV7NYsYKD71shDUKJjFysVisA8cjlN7/5TdCfUxSFffv2Yd++fVGfa0mRi3B2hewIA0mMi5UWo2kaIyMj6OnpCbvmQI4RKbkQV0aFQoEdO3ZEJKsRzoLNcRz6+vowNDTER0iTk5NRNQR8FshiMSzWritmy3MykwvHARMTHhLp7pZ9+n8PiczNBZNi4pCWBqjVLqSnA5mZCqSnc0hL45Caik//DKSmcvyfzWYa3d00+vuBkRElpqe1cDpl6OmRo6dn4Tl27KCxd68L55/P8CRDrCoSGblYrVZoNJqYSerEEkvmilmWBU3TIUm4iEUuFEVhZGQETqcTmzdv5tMa4SASchHOkhQVFcFms0V8c4V6fqE75Y4dO/gwONpuM3+vZVkWJ0+exNTUFD+9TfTPlkq3WKwQTctzvN9TsAYClwtoapLhk0/knxJJcBJRKDhUVbFYs4bF6tWe/69Zw2L5chYpKQBFAY2NjVi2bFkYGn3yT6+Twfy8Dp2dFrS3O9DXx2JiIgUGQxYmJ1MxPKzG0aMKXHmlAuvXM9i714VLL6XBcd4eT4kA6RRbis0uSU8uQt8VslOKtS4YAJjNZpjNZmg0GuzatSvi1FC4NRdfC2Kr1RrRABNBKBP6s7OzaG5uRmZm5gJ3ymgn/ANZLDscDlRVVWF+fp63MpbJZJiYmABFUaJqUiUS8Wp5zsnJibgrMFIIu8VsNuD4cTk++ECOI0fk+PhjORwOf1kFDtXVHgIRkkhVFYvFHrFIU1QURSEjIwU7dqRgxw7Pd+JRJZ78VDnAgX/8oxqvvVaOtjY5rr9eix//mMWtt1qxfLksofehxWJZknL7QJKTiz/74VDIgoSxDMOEvePnOA7Dw8Po7e1FSkoKCgsLo2obDafm4s+C2G63i9rKLASR5e/p6UF1dbVfU69oJvx9ycVsNqOpqQmZmZnYvn07WJbl205dLhc++eQTuN1udHR0eGlS5eTkxFwaf6nAX8uzyWSCwWCA0WiE2WyGzWaLucqz2cyhsTEf//pXGo4d0+DECRncbu/vJzeXxY4dDNatO0Ui1dWLk0ggiFX/8JDNKRvoDRsYnH32HG67rRPPP5+Gv/xlGQYGVNi7Nx25uefizjtZ3HgjCxFHTUIGaUNeivd+0pJLqL4r/hApubhcLrS3t2Nubg5btmzB+Ph41DvPUNJSxLnRnwWxmK3MQjAMg46ODuj1+qCdb2KlxYiKQVVVFSoqKsBxHFwuF/+7KpUKCoUCy5cvR25uLqxWK4xGI/R6Pfr7+3kPEZIOikZqJZnrEuHA1yekpaUFGo0Gcrlc9JZnoxH46CMFPvxQjg8/lKOlRQaWbfD6neJiFrt2Mfjc5xjs2sVg5Up2QZE8GsRqjkcul/MtzfX1wAMPWPDssxx+9at06PVa/OAHwP/+rxW///0AysoykJmZGbc6jNgDlPFE0pFLuL4r/hCOdAuByWRCS0sLMjIyeMfGycnJqGs3i5GD0LnRnwVxtOTijxx89ciCzQdEmxZjGAadnZ2YnJz0mpXxR1jkexZqUpWVlYFhGL7uMDg4iPb2dn5ym7hLng4ptGhBjL6I3pu/lmdiX7xYy7PZDBw6pMB773nSXB0dCxfTwkIrzjlHjs9/nsOuXYzfjisxEa/OrexsJe6+G7jhBh0ee8yIAwfWYXg4FffcU4rvf/8oOC40G2gxIJGLSCCToiSXGwmxAAhrkJLjOAwODqK/v39B1CBGY0CwY/hKqvhLYYgduUxPT6OtrQ3Lli3DqlWrFn1Yo4lcSGOCQqHwK8kf6rnkcrmXTAjxfDcajby7JFkwk1GtOF7wjZLCaXnOzs7B2Fgq3nhDjtdfV+Cjj+Sgae9nb+VKT1SycyeDbducGBg4jDPOOCNunUzxbgtWKBhceOEELr+8Euefn4IjR7Lxzjvn4K67TDxpk3qoPxtoMSCRiwhgWRYulwvvv/8+1qxZs0CnK1yEQgwulwutra2wWq3Ytm0bMjMzvX4uk8m8UjeRwB85CGsdJE0U6GYUK3JhWRa9vb0YGRlBbW2tl3bQYtcfyUJsMpkwPz+PzMxMbN26NeQ0Qijn8vV8t1gsMBgMvNKusHU3Ozs7oW2c8Zw9CfbZ+Wt51uvn8dZbLrz1lgpHjqRiasp7EVu5ksHZZ58ilPz8U8d3uRgMDMRfhTne8jYymQx1dSyeeMKBb35Ti1/8Qo3a2kxcccUpG2gi9aPT6XgbaKHSc6gzcf4Qa+mXWCLh5ELSYKQbTExdsGDkYjQa0dLSgqysrIBCjGJELr7kILQgDqW9OZq0FDk/wzA4fvw4nE5n2IOY4UYuHMdhZGQEJ0+e5OU7AhGL78IUaZRK6g4rVqzw27pLUmi5ubmiqssmG0IhsslJCm++qcDrr8tx6FAGrFZhpMOhvn4OdXWT2LBhFKtWKbxanoFTCzu5J5JJ4j8W5yP37pVX0mhvd+Kxx9S49VYNVq60YeNGD/mQ5gBfG2hS90pNTY3YBloilwjhT8JFLpcvUAGOBIGIgeM4DAwMYGBgAKtWrcLy5cuDzstES3RCcvG1IA5lRxNt5GK1WmG325GZmYn6+vqwd/HhkBtpEjAYDNiyZQv6+vqC/r7vAiXGnItv664wFTQ6OgoAUCqV0Gg0cDgcMdGj8kUiJfdZFmhslOGNNxR44w0FWlq8ib6oiMX559M4/3wGZ51FIy1NBmAZHI7cgC3POTk5CbETiHfk4qsrdv/9LrS3y/H22wpcc40Whw7ZvKI5YKG7qdvt5pWeiQ10oDklf7BarVIrcrgQRivCFmOFQhEz0Umn04nW1lZ+hmQxP5JodcEAz83mdDr9WhCHgkjJhUQQPT09kMvl2LhxY8Q+JqEs+ESLTCaToaGhARqNJim0xXzFD+fm5tDb2wur1YqPPvoIWq3WK4UmdhdQIpwo7XbgnXcU+Mc/FHjzTTn0+lOLF0Vx2LyZEAqNjRv9d3QFa3nu7+/nP6fp6emYtjwL3xsQ34FGXzKTy4Hf/taOs89ORX+/DP/+7xr87W/2oMdQKpVeNtDCOaWJiQnQNB3UBtpqtWLZsmWxeYMxRkLIhcyv+BuKFGu63pekDAYDWlpakJubi7q6upB28GJELgB45z1/ni+LQTh9HSo5CFNva9euRU9PT8Q7zFAIglgeFxUVYc2aNV672mTSFiPDmcIJeFKYPXnyJJxOJzIzM5Gbm4ucnJwlNV9gswGHD+fhk0+KcPhwGiyWU9edkcHh3/6Nxu7dNHbvZhbstheDb8szwzCYnp5Gd3e3V+pHKFEjNkmT5zDe5OL7PrKygD/+0Y6tW1PxzjsKGAxAOJquvqQdyAaaeNeImRb7yU9+gr/+9a/o7u6GVqvFzp078fDDD2PVqlX871x33XV44YUXvF63fft2HD16NOzzJYRcSCeYPygUClHSYiTqEOplrV69GqWlpSEvGNESndVqxdjYGFiW9WtBHAqEbpahPLDEblmpVGLnzp1wuVwxc8IUdtr5szyOhFziBVLfy8/P5wnfZrPxKbShoSEvNeOcnJyIC7Oxel8WC/Dmmwq88oon5WWz1fI/Ky1l8cUv0rjgAhoNDQzEdGCWy+XIyMiAQqHA1q1bo2p5DhWJiFwCye2vWuUZBu3rk6GxUY7duyNbI4Qt97420AcOHMAjjzyCzMxMTE5OoqqqCueccw4fAUWCw4cP45ZbbsHWrVtB0zTuu+8+7N69m98cEHzhC1/Ac889x/890qg0YWmxWOuCkXTUxx9/DJfL5aWXFSqiSYsRC+KMjAzI5fKIiIVcAxAauZBzLl++nLdbJhFipAhEEDRNo62tDWaz2W+nXbDXBkMiW4R9u6nm5uZgNBoxPj6Orq4upKam8lFNPAfphJibA15/3UMob72l8JJYKSqy4+KLHbj6ahU2bxZ3gNEXwuJ6rFSefc8HJD5yIdi6lUFfn0c7LVJy8YVQV+6ee+7BzTffjCuvvBJpaWl4+OGH8dWvfhUXXHAB/vGPf0R0/Ndff93r78899xwKCgrQ2NiIM844g/93tVodhn5bYCS8W8wXcrlcFI0kt9uNoaEhFBUVYfPmzRG1o0aSFvO1IHa73ZicnAz73ARCcgl2zpMnT2JsbAy1tbVeN4bYTpiAJyJramqCSqUKOJ8DLK4G7O/fkmX+RCaTISsrC1lZWaisrITb7eYXzK6uLrjdbq8CdyBxQTHez+ws8NprHkL5178UcDpPnaeigsWXvuTGJZfQcLmOorKyIuo2/lAQKE0rtsozASGzeEa3wYzCtmxh8Ic/KPHJJ7HbYGRkZMDhcOD222/HVVddBZ1Oh6GhIdGObzabAWBBx+qhQ4dQUFCArKwsnHnmmXjwwQcjipiSMnKx24MXyYKBzHMYjUbk5uZiw4YNER8r3CjKnwXxxMRE1GkpIDC5OBwOtLS0wO12o6GhYcHAFXl9pPMWvgv+zMwMWltbvaKjYK8N9t7FaEWOBJGQmFKp9NqdC1NoAwMDUCgUXim0aAvcc3PAP/6hwMGDSrz7rtxLt6u6msWll7px6aU01q8/FaEcOxbfmZpQoohoVJ6FSISvymKRCwCcOCEHyyJsE7JQYbFY+GdamMKNFhzHYe/evfjc5z6H2tpT6dQ9e/bgiiuuQHl5OQYHB/HDH/4Q55xzDhobG8NOCydd5BJNt5jdbkdLSwtomkZJSUnUN2M4abFAFsRiDEEGOgaZ1cnJyQkYnYVbs/F3fqIwTWpX69evDylsjmShS5bIJRiIzEpqaiqfKzebzTAYDLzCM1kwyWcXCpxO4O23FfjTnxR47TXvlNfq1QwuvZTGpZfSWLMmcMorXuQS6cyJP5VnUq/x1/JMBEvjPeMCBNcmXLeOhVbLYXaWQl+fDCtXRt/44wuyiYnFnMutt96K1tZWfPDBB17/ftVVV/F/rq2txZYtW1BeXo5XX30VX/7yl8M6R9KRS6Q1F7K4FxYWYs2aNRgcHITNZov6WhYjBuHkuz8LYjHamX3JhQhd9vb2YtWqVSgrKws64U+uMxJyIXWbEydOwGq1hlW7SrZusViBdPhkZ2cD8Cg/kKiGYRg0NTXx9QZfhWeWBT76SI4DBxT429+UmJ099T2uXMng8ss9hLJ69eKLV7zVAMQ4l0ajWaC2IGx5JhEhaW2PJ4JFS0olsGkTg48+UuCTT2JDLkBs5F9uu+02/P3vf8d77723oAnHF8XFxSgvL0dvb2/Y50m6tFi43WKk3jA6Ouq1uIs1XR9seMs3JeVvhyH2IKZvId1X6NIXwrRYJHC73ZienkZ2dvYCr5fFkOzdYrGCSqVCUVERioqKoNPpsHr1ajidTl7hWalUwmBYhvfeK8Wrr2ZgfPwU6RcVsbj8chpXXukOOIMSCPGeqRE7TeWv5ZlMu09PT8PtduPYsWMxbXkWYrEN2datLD76yONj89WvRt/h6g9Wq1U0VQmO43Dbbbfh4MGDOHToECoqKhZ9jcFgwOjoaMhyUUIs6cjFZrOhpaWFb/UVMrwYizq5sfyRC5mbycvLC9owEG1aTHgMi8WCpqYmaDSaoIV039eS9xAuJicnodPp+On+SNSpl1K3WCxAUmiFhYWgqHL8619yHDggR0/Pqe8uNZXGuefO4StfobF7txpKZWSLdjwjl3ikqYTT7tnZ2Th58iRWrFgBo9GInp4efi5JzJZnIYIV9AGgsNDzTAmjTTHhdrvhcrlEI5dbbrkFL7/8Ml555RWkp6djamoKAJCZmQmtVguLxYJ9+/bhsssuQ3FxMYaGhnDvvfciLy8PX/rSl8I+35IlF9J2W1JSglWrVi3YYYghI+PPF0ZoQRzK3IxY5KLT6TA8PIzy8nLU1NSE/BAt1hDgD8Lus7y8vIhtVpM1LRbPCMlikePFF7X429+0OHLk1OOmUnE4/3waX/qSHVu2TMNq9Zh9HTnC8im03NzcsNp2l2JaLJzzyeXymLc8C7FYE8HgoOdnK1bEJiVmsVgAQLS02NNPPw0AOOuss7z+/bnnnsN1110HuVyOtrY2/O53v8Ps7CyKi4tx9tln48CBAxERXFKSSzBSYBgGPT09mJiYWNB263ucaBd18vAQsiMqyjabLST5GCD6mgsxTRseHsbGjRsjagkMR9nY6XSipaUFLpcLDQ0NGB0dFc2JUgiSX9dqtTxxL5Vp+MXAssDhw3K8+KISr7xyHlwuzyaFojh87nMMrrySxhe/6IanREMBKAJQ5KXwPDMzg97e3rAUnuNNLomUYgmn5ZnUw8I1mGMYJmhabGiIkEtsNkRWqxWAeOSy2HOs1WrxxhtviHIuIElrLoEWY6vVipaWFgDgW30DQYyaC/GFYVnWrwVxKIiG5BwOB5qbm8EwDFavXh3xdG6o0dPs7Cz/HonIZbRmYf5uaIZh0N7ejqmpKVAUxe80iUHcUsXgIIWXXlLiD39QYnT01EK4cqUbX/saiyuucGPZsuCy+OEqPCeqnTsRCsWLZQgCtTwPDAyE3PLse85gv3OKXGJXzE9JSUnIsK4YSMrIhWXZBV/s5OQk2tvbUVpaGpLJlViT/hRFYXR0FGNjYwvMxEIBiRrC3VUKazosy0Zt67vYrmVsbAxdXV2orq7GihUrvJSKoyEX39fa7XY0NTXxApc0TfN2xiaTCWazGS6XK+ZeLGKl36xW4JVXFHjpJSXef//UtWZmcrj8cjfWrv0YV19djbS08Hef/hSeSScVUXgWztaczmmxcOdcIm159j1noIWdYYCREc/vV1TEllyWakSfdORCFhNSTGMYBl1dXZieng4rLSQGubjdbrAsi8nJSb8WxKEg3FZgoV4Xqel8/PHHorpRCsGyLDo7OzE9PY36+nre7VH4WrHSYkajEc3NzSgsLMTq1atB0zTUajVvZ9zR0cG/juzUScE2Nzc3aYQkOQ44dkyOF1/0DDnOzxMi5nDWWQy+9jU3LrqIhlYLHDpkEk2GRavVQqvV8qKHRJ5mcnISPT094DgOw8PDKCoqionCsxCJTouFi1BbnoUGX8EK+pOTFFwuCgoFFzQajQZL2YUSSMK0mLCI7nQ60dzcDIVCEbbwY7TkQiyIAWDt2rUREQu5DmDx/C3gIbO2tjbMzc156XWJ5UbpC4fDgaamJl5RwN/nG02RnbxWaCBG5nL8HVMmk0GtVqOyshLAKS8Wg8GA4eFhr+6heMi8+8JgAF5+WYnnnlOhr+/UorNiBYuvfc2Nq692Y/nyhe8rFoQoVHgmaSAyECdUeI4VMSciLSYWmQVqeTaZTF4qz263G/Pz80hLS1vw7JKUWFkZh1hxOJnOT4YNVSRIaOTib+EiE+kTExPo7+9HWVnZojIj/kDIJdzw3deCeGJiIqqbOtRW4Pn5eTQ1NSElJWVBm3E00QN5ve/5SRSRn5+PtWvXBnWLjDYt1t7eDp1Ohy1btvCDhuTnwvfl+3ehFwuZgjcajV5T8ERIMiMjI+TvKbz7Afj4Yxl+8xsVDh48peuVksLh0ktpfO1rbuzcycRM/iNUkIi/oqICqampXvI0w8PDoik8EyR7WiwcCDctVVVVvMpzR0cHP6zs2/I8NOR577GqtwCI2XR+vJB0aTGi4jswMBCR/wmBcEYl1PSAPwvimZmZqCIgIrYXbIGemJhAR0dHQCMxMcQnyetJ6oRM9wdz4iSvjZTYGIaBTqfjCXMx18fFroN0/VRVVcHpdPKLZ1tbGziO82rhXexci72n+XngT39S4je/UaK9/dT9s2EDgxtvdOPyy90IpTsz3nM75DMMReE5mmHERPnZxwMqlQoFBQXo6OjAli1bwLLsgpbnjz/eCKAUy5e7YnYdQl2xpYikIhdiA0xRFGpra6MSaQsnHSU8t68FcSzkWwhYlkVXVxempqaCEqlYaTHSpWU0GhdEEYu9NlzMzs5iZGQEKpUK27ZtC+k7COdcarXaK4c+Pz8Pg8HAt6FqtVo+qgln8Wxrk+G3v1XiwAElb7il0XC47DIaN9zgwpYtsZWyjwaBogl/Cs+k3tDd3R2ywnMo54oVElHjATzriEajWdDyvH9/5qc/H8BHH01E1fIcCFLNRQRwHMfvqFasWIGpqamoi5HkRgyFGIJZEIs16e97HUIF5YaGhqBt1WJELna7HUePHuXrV6GmRSIhF9J5lpuby7dzh4pIiIyiKGRkZCAjIwMVFRX84knMq8jiScjG9xxuN3DwoALPPqvCxx+futaaGgY33OCppfiokod9ffFAqJ+d0Ho3UoXnpVbQDxfkefU9p0wmg8WShWPHPIv+LbcsR3Z2alQtz4EgpgtlIpDwmovb7UZHRwcMBgPq6uqQl5cHvV4f9XQ9WdSCkYuwEy1Q5CCWRpmQHIgtMBHZXGzxjZZcaJrGyZMnQ27jFiKcmgvxspmcnER9fT3m5+dhMpnCOpcY8Ld4GgwGvjOIoiio1WoMDOjxyiuFePZZDcbHPZ+JQsHh4otp3HijG5//PBN1lBKvtFikTo2BFJ59a1uEaMhimYiaSzznPYKZk/3xj0pwHIVdu2jU1MgARNfyHAg2m02KXCLF3NwcTpw4AY1Gg127dvG76Whk94UIRgxWqxXNzc2Qy+VBO9HETIuRWtLAwIBfW+DFXh8uyPmsVitKS0uxZs2asI8Ras2FdPbRNM1HYhaLJWz5F7GHKIWLJ+kMeuedfjz/fB5ee20ZbDbPI5CT48b119vxrW9RiECjL+EQi8R8a1tCheeOjg4wDIOsrCzQNA2tVhs3kol21itckDZk3/fGccBLL3mu45prFpoaRtLyHAgWi0WKXCJFX18fSkpKUFVVtSAVFUtyIbpkpaWlWLlyZdDdnhhpMZqWo6uLRWvrAAYHAeAcvPCCGsPDFIaHKQRzBsjMBPLyalBY6EJtrRzLl3NYvhxYvpxDTQ2HQNk0mqbR2tqK+fl5ZGVl+bUhDgWhpMXMZjOampqQlZWFLVu28DvMZBOuPH5chiee0OCVV+rBMJ77bdUqGl/7mg67dg3BajWgr08GozGHT6GJ0e4cj8WXfG5in0uo8MxxHKxWK4xGI0ZHR/n2XdJEIWa9wReJaCDwFyl9/LEMfX0yvlswGEJteQ7UWGG1WvmIaCkioeRSX1/vd+EWQ3SSHEdILizLoqenB+Pj41i/fj0KCwsXPUYkkQvLAs3NFN5+W4Z//UuGDz88CzQd2YNhsQDj46kAUvHmm94/Uyg4bNzIYccOFjt2cGhoYFFaCi/15IaGBr6bKhKE2ulWVVWFiooKr8UtGST3Oc6j8/XTn6q8hCO3bjXj7ruVOO88BhSVBqCW76oiE/DClFBubm5Y7c6ec8df4TmWREZRFNLS0pCWlgar1QqlUons7GwYjUYMDg6ivb2dl6cJtz18MSRLd9of/uAhzy9+kQ6pW1CIQC3PvirPLpcLbrdb1JrLT37yE/z1r39Fd3c3tFotdu7ciYcffhirVq3if4fjODzwwAN49tlnYTKZsH37djz55JNYt25dROdMeM3FH2KRFvNnQRzqMVyuxdsNJyaAN9/0kMk778hgMMR+t0rTFBobKTQ2yvDkk55/KymhUV3twEUXrcT11xdApQrsZBkKAqXFhMrJgepViVZF/vBDOfbvV+HDDz23uVLJ4fLLaXzpS4MoKzNh7dq1Xr8v7KoSpoQMBgPa2trAsqxXoTvUod6lHLkEO59cLkdubi6v6uDbHs6y7AKTtEiRiIK+7/nsduAvf/GQy1e/ujAlFi5UKpVflee//OUv+OlPfwoAGBoaQm5uLs4777yQ/FcC4fDhw7jllluwdetW0DSN++67D7t37+ajJwB45JFH8POf/xzPP/88Vq5cif379+O8885DT0/P6aGKDIifFgtkQRzqMYItzEePUvjlL+X4299kYNnE96hOTCgwMbEM770H3H8/hy98gcXmzbnYs0c88UmXy4WWlhY4nU40NDQELDqGQha+OXsxyOXYMRkefFCNQ4c8t7dKxeH66924804XSko4DA46YLcvfhzflBBRLJ6enubbnUlUE2vjqsWQCHLxPZdve3g0Cs++SIa02KuvKmA2U1i+nMXnPx/9+iSEUOX5O9/5Dr797W/ji1/8IgoKCvDiiy/illtuwbnnnovXXnstouO//vrrXn9/7rnnUFBQgMbGRpxxxhngOA6PPfYY7rvvPt7O+IUXXkBhYSFefvll3HTTTWGfMykjF7lcDofDEfXxyaT/7OysXwviUI/hS3Q0DfztbzL88pdyfPxxgkezg8Bup3DwoBwHD9Zg/34WF1zA4cYbGZxzDhdyF5QvQczPz+PEiRNIT0/Hjh07gi4Q8Y5cTpzwkMpbb52KVL7xDTe+9z1X1PpP/hSLSaG2p6cHLpeL7wrKzc1FSkpK3J0h44nFFvtwFJ5JCi0YMca79dlf5PLyy56o5StfccdckUGlUsFqteKaa67BFVdcgfn5eYyMjIh2fLPZDMAjfAoAg4ODmJqawu7du/nfUavVOPPMM3HkyJGlRy6BIEZazOFwwGw2g6KogBbEoUAYuVgswK9/LceTT8oxOpr4KCUcOBwy/PWvwF//KkdtLYvbbmPwla+wWGzcRVhzmZqaQltbGyoqKhY0YQR6bTwWPb2ewv33q/D733uK73I5h69+1Y3//E8Xystjo/WlUCiQn5+P/Px8r1kRg8GAgYEBKJVK/sElAp2xRDJELsEQrsKzr8JComsuExMU3nnHE8n46xKLBYStyOnp6RHXPnzBcRz27t2Lz33uc6itrQUA3pXStw5dWFiI4eHhiM6TlOQSbVqMyNUrFAoUFxdHVRQjkctbb1G4+WblkiMVf2hvl+Gmm2T40Y843HQTg3//dwaBxBBIvebkyZMYHh7Ghg0bQmqEAGIfuTAM8PzzSjzwgJq3mr3qKjfuuceJqqr47eR9Z0UYhsHs7CwMBgMA4NixY14ikmLb8fpeSzwQbSSxmMIzSTmSLqp4C2X6Kns89ZQKLEthxw46LvcW6cyLRSvyrbfeitbWVl7oVIiFrdeRt5onZVpMoVBE1C3ma0E8NzcX9c7ZalXipz+txv/9X3wVeOOB6WkK//VfCvzsZ3J897sMvvMdBr7lE4Zh4HK5MDU1FXYEGEtyaWyUYe9eDZqaPAvA+vUMfv5zB7ZvD622FMuIihS6s7KyMDY2hq1bt/LyNKOjoyB2vGKJSAKnhv6WolmYP4Vn0kVFFJ4pioJOp4NGo4mL9YIwchkaovDMM56U2He/GzstMV/EQv7ltttuw9///ne89957XnN2xNF3amoKxYJBr5mZmZA3k744bSIXfxbEPT09UUVAr70mw7e/XYKpqaT8mESD1eohmV//Wo59+2h89ass5HJPSzPxWAnHfZMgFq3IbjfwwANq/M//eKakMzI4/OAHTnzzm27EyFcsaqjVaqSnp6OkpMRLRJLI5KSlpfFzNdHIhcRb6ytW5xOmHAFPeuj48eOw2+04ceKE6ArP/iAs6O/bp4bLReHss2ns3i1uIT8YrFZrRF1a/sBxHG677TYcPHgQhw4dWtB5VlFRgaKiIrz11luoq6sD4FlTDx8+jIcffjiicybl4xguuQSyIJbJZCG1EfvCbAbuvFOBl19emvaikWJigsK3vqXEE0+w+P739UhP/wSFhYWYnp6OaDhO7CHK4WEK11+vxfHjnu/lqqvc2L/ficLC+M+ThAPhIuwrIulvAj47O5snm1DbnRMhJBmv86WkpEAmk6G6uhrp6emiKzz7AynoHzsmw1//qgRFcdi/3xk30VKXywWapkVLi91yyy14+eWX8corryA9PZ2vsWRmZkKr1YKiKNxxxx146KGHUFNTg5qaGjz00ENISUnBNddcE9E5kzItFuoQJcdxGBoaQl9fn18L4kgaA3Q64OKLlWhuTt4usFijtVWGq68uwDXXnIEHH3Rheno6ouMEIxen04nOzk7I5XLk5eUhOzs76GL1j38ocMstGszOUsjK4vDkkw5cfHH0g7axRCjEGmq7M2nfDbRwJlu3WKzOF4rCc2ZmJk/OkZptec4nx333eRoLvvpVGuvXx867xRcWiwUARCOXp59+GgBw1llnef37c889h+uuuw4AcNddd8Fut+Pmm2/mhyjffPPNiKOnpIxcQiEFoWtjIAvicKfrx8eBCy9Uorv7s0ssQrz8cjo++IDBf/xHDs49N/zXByIXs9mMEydO8Ckg0pqq0WhAUZSXAx/HAf/1Xyr87Gee1MeWLQyee87utwssnOtKRgRqdxbWHoTqzsKF83SOXMj5/JGZGArP/sCyLN59NxcffyxHSgqHH/7QKfZbCgqLxcLPvoiBUDYfFEVh37592LdvnyjnTEpyWcxFklgQp6WlLXBt9HecUDA4COzZo+Id5iR4MDIix733NmB8nMb+/QzCcJr2Sy6Tk5Nob29HdXU17zBJLAH6+/thMplw/PjxT6VFcvHkkyvx+997iOX22124/34nxJCviudOP+JuG592Z7vdDoPBwC+cpN05NzcXSqUyKRb7WCGUSCkUhee0tDT+MwtW37LbWTz+uGcu7vbbXSgujm9kSNqQ4/kZi42kJBeFQgGO4xZMyfpaEPtqWfkiVHLp7qZwwQVKTExIxBIITz6pwNGjMhw44EaIYs5e5MJxHHp7ezEyMsLLxbjdp+YFtFotsrOzwTAMamtrYTDM4s470/GPf2SCojjs3duL665zwenMhUKxdH3FI4Vwgpu0O5OFc3BwEFarFRRFYXBwMKShxGgRz8iF47iIyGwxhWeaphfI05D39Oc/F2B8XI3CQha33x6/DjECi8USljx/MiJpay6Ad6+5PwvixRAKuXR1UTjvPCX0+qX7JcYLjY0y7Nqlwh/+4MbOnaGF2RzH8QrNFosFO3bsCJhHJr8vk8lx//3L8I9/KCGTcfif/5nD2WczMBrNGBwc9Nqx5+TkhCUjEk/Eut2ZLIrV1dXQ6/Xo6OiA1Wr1Gkokn5HYHVXxnDsRq806kMIzkcMn95VMlo/nnvPsoH74QxcSoXq/1F0ogSSIXPylTnxdJANZEC+GxcjFZgOuuUYhEUsYmJ6mcP75Sjz2GI0bbwxe4CTT/UePHoVarQ6pnZnjODz7rBIvvaSEXM7h+ecduOQSGYBS3maWDCgODAygo6PDa0AxlBmIeO8G43E+pVIJuVyO2tpa3orXYDDwHVWhpoNCRTzTYsGMuyKFUOGZyOETeZr9++WwWJSoqJhHQ8MAZmfFVXgOBcK641JFwsnFH4iLJE3TQS2IF8NiopN33aVAV5c4N4xW69HrstmW7s0QKtxuCrfcosTkJI377gvs1jg3Nwe3242SkhK/Dpi+3yVFUWhrS8f3v+/ZPPz4x05ccol3R5hwxqGmpoZXkjUYDBgeHvZS6k3mqEZsCNNUMpmMH0okHVXkMxK2O0ejVpyIyCWWizu5byYn8/HPf3o+j+9+dxIul110hedQsNRdKIEkJRfA82X39vbCZDIFlHQP5RiBWpoPHpTh178OvR9erebgdAZ+mNxujwQ+gVbLwW4/vYlm/34FbDbgwQcXEszIyAi6u7shk8kCOmD6RqxWqwz79q0FTVP40pfcuOWWxTWctFotli1bxjcHkKhmcHAQHR0dyMjI4MkmHpPdQsRbuDLQe1MqlV7S7larFQaDATqdzkutmKgKhELI8ay5xEt9wG4HbrxRA7ebws6dOuzZo0B+/jq/Cs9qtZrfwISr8BwKSOSylJFwcvGXFrNarXC73bDZbEEtiBcDiVx8H4SREeDb3w79rctkHEh2LSWFg8MBsCwFpZIDywIMQ3kRC4DTnlgIfv5zBWw2Cj//OQ2ZzLMQdHV1YXp6GuvWrUNnZ2fIx/rf/82BXq9GRQWLJ55whD2wJoxqAI94qcFgWBDVsCwriqVDMiHUxV6YDiovL+fVig0GA3p7e+FwOLzUnQOlZuKdFvNnOSw2fvQjNbq65CgoYPGd73RALvdMsYut8BwKYqUrFk8knFx8QSyIlUolqqurIyYWwEMupNOEfNk0DVx3nZIXOgwFLEuBZT3RiNPp+XtBAQe3GzCZKFAUh5ISYHoaC0jms4BnnpFDLufw0EN2NDc3gaZpNDQ08O3koWB0lMJvf5sFAHjwQWfYLn/+oNFovKIas9kMg8GAqakpuFwuNDY2xiWqidcOP5Lz+KoVC9Wdh4aGeEImCyepmcUzLRYPInvzTTl+9SvPSMNTTzmQmuoIeM5ACs/E/hkAn0LLzc1doPAcCiRyERG+FsRDQ0NRe9cLu87IjfLrX8tw5Ej4N6pGw8LppMCyHjKZnQVcLurTnwHj4589UhHiyScVcLkmcMMNKmzevBkKhQJWqzVkcnn0URWcThk2bjThwgvFvy2FbalqtRoGgwH5+fkwGo18VCPsrhLDCz5Z0mLhgLQ7C5snyGdE0ow5OTlxfW+xVgPQ6SjcfLOHAG66yYXduxm8//5Cs7BACKTwPDU1tUBlIdS0o9QtJhL8WRCPjo5GnboQkotSqYTbDfzsZ6G95dRUDjYbwHEUtFoaTqccLOuRHpmb8xBLdjYHk4mC3e4hHLn8sxm5EPzv/67C5z7nQl3dKW+RUBah+Xngz3/2LObXXTcIiqqJ6XUCnnvDX1QzNDSEzs5OfhGNtUS+WIjFYu+bZiQ2xsRK4Pjx4/zPc3NzY+ZZE8soieOAW2/VYGZGhjVrGPzXf3km8f2ZhYWCUBSeSXdjTk5OwHtLTNHKRCHh5KLT6dDc3LzAgjhUfbFgoCjKSwLmT3+ShezHolJ51IJTUznQtCdiqajgMDPjSYstW8bxVrlqNQeZzLvOQlEcOC65F6RY4N//XYkVK9zYvv3UTnqxXfXBg0pYrRQqK12orTXF61J5CKOa6upqOJ1OvlYzMjICmUzGRzRkGj4cxIOY4lFgJzbGBQUFmJmZwbp16zA3N4eJiQn09PQgJSWF/5yysrJEizZiGbn89rdKvPaaAioVh9/8xgGtFvwAtxjn9KfwTAY5h4eHAyo8W61WL+n7aPDee+/h0UcfRWNjIyYnJ3Hw4EFceuml/M+vu+46vPDCC16v2b59O44ePRrVeRNOLlarFWvWrFlgQSyGGyVwataFZYH//u/Qu8NMJgoyGfcpyciRlsZibo7iCcdk8rQda7We2otvJ9lnkVgAT0T39a8rceyYC1ptaOTypz95bsMrrrDETXU2GNRqNUpKSniJfKGESFdXF9LT0/laTbCoZimmxUI9FwC+E6+iooJvdzYajejs7OSn34XqzpFeX6zI5eRJGe6917OY79vnRG2tJw1P3p8Y6sq+8E07+io8Dw4OorGxEfPz8yHroC0Gq9WKjRs34vrrr8dll13m93e+8IUv4LnnnuP/Lsa5E04uFRUVfkkkWjdK3+P83//Jwp5pyc4GDAYKCgULmgYsFk9abH7e0yGWmcnB5fKkwlJSPB1lwdqVPysYGaHwrW8p8PvfLz7MaLcDR496HuLzzgu9RhMtQj2Pr4SIMKoRGn+RRVSsBSESxJtchAu+v3Zno9HItztH07obC3JxuTxtx3a7x6fl5ptPtb2TdSfWTQT+FJ5lMhkOHTqEDz74AK+//jree+89nH/++Tj//PN5S+JwsWfPHuzZsyfo76jVat4wTCwknFyild1fDJ7jMPjpT8N7XWamp2gPAIWFLoyPa5CRwSEvj8PsrAyZmZ42ZJIKs9s/u9GKP/zjH3I8+6wKK1cGXxw+/lgOl4tCcTGLykoGfX3J7c3iG9XMzc3x6TPfqIakz06XtBjBYnMn/qbfSd2hr68PDofDSxZ/sU69WJDL/v0qtLTIkZPD4plnHBAenry/WEQuwaBUKnHWWWfhrLPOwu7du/HFL34RaWlpeOONN/Dee+/hlVdeidm5Dx06hIKCAmRlZeHMM8/Egw8+iIKCgqiOmXByCQSFQgGnM3qZa7lcjvfft+L48cXz5Lm5nnQXy1LQagGzmcK6dSz6+jy70YICDn19MqhUnmn8+XmKH5aUiGUhHnhAjcceC95K/vHHnltw1y4GMlnytuz6g3DnSaIaUvAmLamAp70+1lFNvFNwQOifI/HsEbbuEnVn0u4cTBZfbHJ5+205Hn/cc44nnnAuUDxmGAYURSW0icNms6GmpgaXX345brvttph+v3v27MEVV1yB8vJyDA4O4oc//CHOOeccNDY2RtWkkbTkIkZajGVZOJ1OvP56aMex2U7NsExNeTrA5uYoOJ0U0tIYDA56bvCiIk/qR6XikJoKvrAvwRtWK4Vf/WoDrryS9WtBTFEUeno8n6lvvnspghS8i4uLwbIsdDodOjo6MDo6is7OTq+oRmzV4njXXKJZfLVaLUpLT2nFkU49IovvW9MSc86lu1uG667TguMo3HCDCxddtDA74qvGHm8QXxphK3Isv9urrrqK/3NtbS22bNmC8vJyvPrqq/jyl78c8XETTi6xSos5HA40NzeDpmn09S0P6TUkxUXWt6wsz3CfRsMgNZWBxSJHeTmHsTHPzxkGkujlIjh+vAh//7sdV1zh/+c9PZ6HeNUqNiJb5GSFTCbjCWTr1q1eUc3Y2BhfqyH1mmijmninxcSM/khNCzjV7mw0GtHa2gqO4/ghRIfDEdFAIoFeT+HKK7WYm6OwcyeNhx/2nxmJt8umP1gsloS1IhcXF6O8vBy9vb1RHSfh5BII0XSLGQwGtLS0IC8vDxSlRlNT6CJzWVkc9HrPn9PTAZMJqKhwoqsrBUrlqWJ+VhYX1pT/Zxn336/CpZfSfk2+RkY8D3FlZfwmvoH4REjCc/hGNUS1eGxsbEGtJpKoJhGRSywg/Jw4jsP8/Dz6+/thsVjw0UcfISUlxUvdOdQIw+kEvvpVDYaGZFixgsVLLzkQKOMT6YyLmEjkhD5J60bbCp205BJJWozjOAwODqK/vx+rV69GaWkpfv/7Qdjti98oMhkHlqWgUHgK8+vXs2hv9zxAs7Oej6mwEBgb89RZYjQvdlpiYECO3/2OXSDRPzw8DbPZo99UWMicVpFLMPiqFrtcLr4G0dLSAuCUF0s4Uc3pJMcCeN5PRkYGsrKyoFarUVNTA5PJBIPBgK6uLrjd7oBmX97XC9x+uwYffaRAZiaHP//ZjtzcwPdZsqTFxCIXi8WCvr4+/u+Dg4Nobm7mP7d9+/bhsssuQ3FxMYaGhnDvvfciLy8PX/rSl6I6b8LJRay0mNvtRltbG+bm5rBt2zZkZmYCABobMxd9LZm0B8ALVJLp/OxsDpOTKigULF+0l8s9viYSQsdDDynw1a+6oNF4Hp7u7m40NxsBVEChYNDdfRTp6WlgGMbLJG6pI5QFX6VSee3WSQeaMKohZBPIV2SppsVCPZ9MJoNSqURBQQEKCgr4BdhgMECv16O/vx8qlcpvu/PPf67CH/7g8Qd64QU7Vq0KLiuV6MjF4XCAYRjRyOX48eM4++yz+b/v3bsXAHDttdfi6aefRltbG373u99hdnYWxcXFOPvss3HgwIGo03IJJ5dACCctNj8/j6amJqSkpGDnzp1eO70TJxb/gObmPP8nJCOXc7xWWF6e59/y8z3tyErlqcl8hYIBTZ8ei2CsMT5O4cABGa65xomWlhbY7XZUVNQDALKzKaxcWYPJyUnQNI3333+fH8DLzc2NSrzUH+I9DxIOhPIhJKohtZq2tjZwHOfXYfJ0SYv5g78aCEVRSE1NRWpqqpfZF3GVtNvtyMzMRGPjCjzwQDkA4L//24lzzll8TUl0zcVqtQKAaORy1llnBb0X33jjDVHO44ukJZdQ02ITExPo6OgIaCY2Pr54/ophPK8hOpl5eZ7IRKPh+J85nZ6braSEw/Cw588SsYSHJ56gUFl5DFqtBtu3b8cnn3g+x5QUDtnZ2VAqlTCZTKivr/fyziCyImK5KC4l+FrzCh0mu7u7kZqaitzcXNA0HbeUYrwX31DSVEKTOMDT7vzeezbce6/HrviSSwbR0DCDqSn/7c5CJDpytlgskMlkom+q4o2Ek0ugHRCJXALtkliWRXd3NyYnJ4Oaic3NhX6TEHJJS+MwPU0hNxcYGPBEMuS5NZkYALLPrHZYNGhrU2B4uAxXX70MAGC1ej5UrZYDwzB8GlSr1WL58uW834ivi6KwHhErsUSxIOYOn9QgMjIyUFFR4RXV6HQ6cByHtra2mH82iYhcwtVzMxpTcNtteXA6Zdi9241f/EIOs1nt1RYeKNWY6MiFtCEnu1jqYkg4uQSCUNHYVypCqKLc0NAQ0HKUYQCLJXRyIQRCTmc2e/5fVMRgfNyz05mb89zkSqVHQkJCeHj//Qp85SvOT2eQPJ9laioFmqbR29uLrKwsr4hVJpMhLy+Pz7NbLBbo9XpeLDEtLS2iLqvToXFAGNUMDg7CbDYjLS2N/2xIVJOTkyNqxBdPo7BIzme1Al/5ihZTUzKsXcvgt791ICMjG3l5Hgkf31Qjy7JeQ5yJLugTF0qJXESAvy6hQOSi1+vR0tKCwsJCrFmzJuhNQMghGMiEPUV5BCgBT0cYAGRmAhbLqSHJrCya7xxzL+7AK8EP/vY3Of77v1lotTJ+rkippNHY2Iji4mKsXLkSHMd9KjbqcRElEQ1FUUhJSUF5efmCnXtLS4uXzlck6sViI54ERlEUVCoVKioqvIQkDQYD2tvb+QVUjKgmGWougeB0Al/7mhYtLXLk5bE4cMCOjAzv3/GXahT6rygUCqhUKhgMBmRlZcWdaE4HLxcgScjFH4itKU3TUKvV4DgOAwMDGBgYwJo1a1BaWrroMUwhqLeTBU6tBhyOU26VgId4AApOpydfplKdusmklFhkMJspvPOOEhddxPKk7XKZUV1dzX+nxCoB8Cwswv98o5qCggJ+kZibm4Ner+d1vohqr6/TZDwXxkQV2X2FJEmtZnJyko9qhPMi4UQGiegWC+V8bjdw7bUa/OtfCqSkcPjDH+woLw9O8MJUI7Ew7uzshN1uR3d3N9xuN7KysvgIMFC7s5gg5CJFLjEEqbu43W60trbCYrFg+/btyPDdigRAeFbGnv+npXF8ustgoAGooFLJYbUCn3okSYgSb70lx4UXMhgdnQGwHHl56Sgt9d8ZI5PJvIiGeG34i2rS0tKQnp6+QL2YOE0SohFDbTvZECxK8q3VCKMaYR0rVFveZIxcaBr45jc1+L//U0Kj4XDggB3bt4fvZKtQKKDRaJCSkoKqqiov2+f+/n4olUov2+dw1J1DhRS5iIhAw3NyuRxzc3NoampCWloadu7cGVaqIxzNL7LeZGeDNxSzWDwfj0JBZmCW9k4iWfD223K0tLTAZPI4HKalKQEsXsAiCwxJU5BIhhCOkDTkcjmKioq8PFn0ej0GBgZgs9mgUCgwMjKC3NzcmO1Gk9XPxTeqsVgsMBgMfFpose68RHSLBTsfwwDf/rYGBw8qoVJxeOklO848M/INBEnFC9udly9fzrc7G41GDAwM8LbPhGzEciy1WCwJm84XE0lBLoHAcRw6OztRVVWFysrKsL+4cOwJCHHMzrIAPIuXSkXB7fYIMAIeGX6zWSKYaDE0JMPIiBxFRZ75g0hltfxFNUKyEUrDZ2RkIDMzEzU1NRgaGsLk5CRMJhMGBgb44bvc3FxkZ2cvyQHOSKMJiqKQnp6O9PR0rFixAm63m5+CJ1GNcOZIo9EkVeTCssAdd6hx4IASCgWHF15w4Lzzohe89XcPCKPfmpoaOBwOXlnB11UyGr04KXKJIRiGQVdXF1wuFyoqKlBVVRXRcZYtC3/nOD9/6qbKyPB0npDi/aezTRJEQFOTAmazDkAZFIro01ShRjUURfGpj40bN3oN3508eRIul0vUAc6lVt/xnYL3F9WoVCq+4SIeEUyg83AccNddarzwggoyGYdf/9qBCy+M3gMq1Al9jUaDZcuWYdmyZV7ePr7KCuF26/kqIi9VJAW5CB8Km82G5uZmfrcZzYes1QK5uSwMhvAeADLDYrF4/i6XewiGpqWoRSxYLKsgk9kAAHr9BI4eHUReXh7y8/NFkaMPFNUQMqEoCi6Xi/dkyc7ORk1NDS8pQhwUtVotTzTh+sIna1osVASKakZGRmCxWLyUFIiVcSzgrxWZ44Af/lCNZ59VgaI4PP20A1/+cvTEAkSmLebr7UM6GY1GI9+tF+pnJaXFYgCdTofW1lYUFRVhzZo1aGpqitqNsqSEC7sQn5rqaUGenyfdRVFdggQ/OHlSi40bPe2wFRXFKC/3+J+cOHECFEXx5lJitBQLF6bOzk5YrVasX78eMpmMj2wAz2Kq0WhQWlqKsrIy0DQNk8kEvV6Pzs5OPkVEriuZBjjjMXtCohq73Q61Wo2KigoYDAZMT0/j5MmTURFxMPiLXB58UIVf/tKTdnr8cSeuvlocYgHE0RbzbXcmEaDwsyLpM992Z6vVylsQLGUkBblwHIfe3l4MDQ1h7dq1WLbMM8Edjew+QWkph7a28F7je1+RdmWinCwhegwOUli92vNnjUbuJUdPiu+Dg4Nob29HZmYm8vPzkZeXF3GLptPpRHNzM+RyObZt28YTljCq8dfqnJubi/z8fK8FQtjOKxzg9LcgJbOOWTTnksvlvJWxr5JCV1cXaJrmFYujTS/6ksvPfqbCI494iP2RRxy47jpxh87ETvf5RoBk02I0GtHT0wOXy8WnzWiahtVqxfLloXlQLYb33nsPjz76KBobGzE5OYmDBw/i0ksv5X/OcRweeOABPPvsszCZTNi+fTuefPJJrFu3LupzJwW59PT0YHJyEjt27PBS4hTDjTKS72huzrMgpKZyfDEfgEQsImJ4mOK7+YQBgNA8qqamBna7HXq93kv5lkQ1OTk5IaUvLBYLmpqakJ2djbVr13otHMJaDYlggg1wpqam8ikio9EIvV6/QFBSDPOvcJFoVWSFQuFVq7FarV76cCSqycnJCXswkZyP44BHHlHhwQc9N8yPf+zAf/yH+NPMsZ7QVygUyM/P5zctpN3573//O+6//36kpqZiYGAAtbW1OPfcc5GVlRXxuaxWKzZu3Ijrr78el1122YKfP/LII/j5z3+O559/HitXrsT+/ftx3nnnoaen5/RQRa6srMSKFSsWpD+idaMEgK1bOTz7bGSvFRKLBHFB0xSmpjyfr0oVeNdNdMZIKyhZ0Lu7u+FyuZCTk8OTjb/dscFgQGtrK8rKyhbtOCREE+oAZ35+Pt/OKyzmdnd3Iz09HampqTxJxXrhTyZVZDJzJIxqSAcaGUwMp2nCQ/oy3H23Gs884yHtH/zAie98JzYyGfGU3Be2O99yyy247rrrcNVVV0GpVGLfvn34yle+gq985St48cUXIzr+nj17sGfPHr8/4zgOjz32GO677z7ezviFF15AYWEhXn75Zdx0000Rvy8gSchFrVb7JRGFQgGn078VaajYvTv8QSoJoSOaVCFRlw4gDbcAcrnca8dntVqh1+sxPT3Np6kI0WRmZmJychLd3d1Ys2YNSkpKwr6+SAY4Kysreaveqakp0DSNDz/8kCdBov4cCySrWZjvTt1qtcJoNHo1TQSqPwCAy8Xhjjuy8P/+n4dYHnkkNhELQSK1xVJTU+F0OnHjjTfiG9/4BsbGxjA6OhqTcw0ODmJqagq7d+/m/02tVuPMM8/EkSNHTg9yCQQx0mKFhUB1tRl9fYubhkkIH9GkCvv7Pa8N5goYCMLdMUlTEeOolpYWvg25vLwceXl5EV8jQbgDnIWFhUhJSUFbWxvWrVsHg8GAwcFBdHR0IDMzk9+1iyXzkei0WKgQfm/CpgnfqIaQDcdp8ZOfbMXx41ooFJ6usKuuEq947w+JNgsTulCWlpaGJHUVCaampgAAhYWFXv9eWFiI4eHhqI+fFOQilhulPzAMg/r6GYlcYgSVioPLFdlCQxol8vKiL0YrlUoUFRWhoKAA7e3tMJlMyM/P5+VfMjIy+KhGjEnqQK3OwjSay+XyGuCsrq7mB+8I2RA5ERLVRLpjjndBX6zF11/9gWwSmpuH8NBDDejoKIJazeKFF2y44ILYv89ESu6TyC6erci+z4JYG5WkIJdAiLZbzGazoampCZs3q/GnP9WIeGUS5HKPkRr5emQyFiwb2QMpQmABAHC5XGhpaQHLstixYwffKkwWdL1ej6GhISgUCq+mgGj1ofxFNXa7HUNDQ0hLS/Ma4FQqlSguLsayZcu8Bjh7e3vhcDi8ahGBrCT8Id41l1gsvsL6g1pdjltu0aCjQ4GUFDceeKARKSk6NDdnRfT5hAqyUUikSkO8yKXoUwmTqakpFBcX8/8+MzOzIJqJBElNLtGkxcjMTElJCTZvNiMjgwnLOExCaFAqWTCMHEDkC1skaTFfkI1EWloaamtrvRYH30lqMrvS29sLu92O7OxsvtVZjAXL4XCgqakJGRkZWLt2LSiKCtjqTDrjVq5cye/aDQYD+vr6oNFovOZGgi14SyUtFgqGhihcckkKBgdlKChgce+9H+Daa+vgcKzgNwnCzycnJ0c02R7SMZhom+N4kEtFRQWKiorw1ltvoa6uDoBng3b48GE8/PDDUR8/KchFzLSYUJp/3bp1KCkpwSeffIILLrDgj3+UUmNiQCY7RQak5qJUerw0woVczqGkJDpymZ2dRXNzM0pKSlBTU7NoRxhZsFetWsU3Beh0On64jUQ12dnZYS8yZrMZTU1NC67Ft1bjrylArVZj2bJlWL58ud9ahLDV2Z9ycbJ0i0WDzk4ZLr3UY/S1YgWLAwdMmJycg0wm46OasrIyMAzDfz5EtkcMaXxCLomKXEhaTCz5F4vFgr6+Pv7vg4ODaG5uRk5ODsrKynDHHXfgoYceQk1NDWpqavDQQw8hJSUF11xzTdTnTgpyCYRw02JutxttbW2Yn5/3kuaXy+W47jojDhzIkHxYRIBczsHtlkGpZMAwnsU30pR/eTmHaJqnpqam0NHRgZUrV0Y0eEYWLOEgoF6vR0dHB2ia5usheXl5i07k63Q6tLW1obq6GmVlZX5/x7dWE6zVWTjASeZGyIS3r3Lx6ZAW++ADOa65RovZWQrr1jE4eNCOjAwaU1PUgvcml8v570U4K0Kk8SMVIxWmMBMBm80GjuOinjEhOH78OM4++2z+73v37gUAXHvttXj++edx1113wW634+abb+aHKN98801Rzp/U5BJOWsxiseDEiRPQarVoaGjwGmKTy+UoK3PgkktY/O1vUmosWlCUh0kUCgp2OwWlkoHbHdliU1UVGStxHIehoSEMDg5iw4YNyM/Pj+g4QvgOAs7Pz0Ov12N8fJz3XQ+kfzY2Noaenh7U1taGnK8Op9WZzPuUl5fzGl96vR7t7e38Yq9QKOByuWI+wBmLtNjvfqfEHXeoQdMUtm9n8Kc/2ZCdDVgsixfX/Unjkwn43t5eOJ1Orw69YFENaUNOFLlYP1XHFSstdtZZZy3q9bNv3z7s27dPlPMJkRTkEm1abGpqCm1tbSgvL/ebFiEktXcvI5GLCJDLPQ+7Wu2ZslcqZXC7I3sYq6vDn0NiWRbd3d3Q6/XYunWraLs8IYQGW5WVlXC5XLxSgK/+mdlsxsTEBOrr6yPWhPLXFBAsqsnLy/MiwY6ODszOzuKDDz5Aenq6lyyN2AulmFESw3gEKJ94wkOIX/6yG08/7QCZq4ykc0sY1QDwqmUtZrGQyE4xwEMuCoUiqXTrIkVSkEsgKBQKfjfnX3Kbw8mTJzE6OooNGzYE3DESctm2jcPnP8/i/fcTd/MsdajVHBwOz59PdYqR/4c/ULlqVXiRC3Eldblc2LZt26KuiWJBpVKhpKTEy3xMp9PxOloZGRkwm81QKpWizK4E86rxjWpSU1Oh0WhQWFiIvLw8fiEdGxsDRVH8QpqTkyPKAKdYabG5OeCGG7R4803PMnTvvU7cfbfLSyhWjMU+JSUFKSkpXoZfwg49UqvJzc0FTdMJJ5eUlJSEXoNYSBpy8edGSXYU/oaaSNupw+HAjh07goaRcrkc7k9NWb77XUYilyggkwEcRyEri8PsLAWK4hDNnOv27aG/2G63o7m5GWq1Glu3bo2JxWwokMlkSE9Px+DgIDQaDdasWcOn0Ei+n3SfidHFtNgAJ03TcLlc/HNSWFjIi4ASWZrh4WF0dnbyzom5ublIS0uLuOgdLXkODVG46ioturrk0Go5PPOMA1/60sIshdiRhNDwC4BXrWZgYAByuRwcx0Gn0yE7Ozvu99jpIrcPJBG5+AN5mGia9tpxEevj9PR0NDQ0LHoDyOVyOD7dbp9/Pouzz2bx7rsSwYQLhYKDb5YyIwO8O2e4641GQ8Ns/hC9vfm8ZEughYR85/n5+Vi9enVCd3ZOpxNNTU1QKpU8yWVlZS3QPyOGd4vpn4ULYVRD0zTvF5KTk+PlwElIMCMjA1VVVV4DnMPDw1AoFF6yNKEupNGmxT76SI5rrtHAYJChuJjFH/5gR329//RorK0ESFRTWloKhmEwPDyM8fFx9Pf3w263e3WgiaWmEAyniwslkOTkQlHUgqI+Ka5WVlaGbH0sPAZFAU8+6cbmzSp+QlxCaJDJAJeLgkbD8a6cJNiMZFJ/xw4OK1dWQafToaWlBQD4DimhjwvpwqqsrER5eXnCiq2A5+E/ceKEX4VlILD+2dTUlF/9s2gWTpqm0dLSApqmsW3bNqhUqgWtzkKvGuEAJ8uyfHrIdyFdrOgdzYL/0ksK3H67Bm43hU2bGPzxj/agrejxrIHI5XKkpqYiJSUFmzdvht1u96rVEDUFUquJRVRjs9kibqNONiQNufhLiwGniIEUcScnJ7Fp06awuoN8CaqyEti3j8HddyfN2096yGSnohatFjCZKKSnc5if9/xbJK3Iu3ZxKCws5JWFfX1csrKyoFAoYDAYsG7dOn6iOFEg8zTLli1DdXX1ogvAYvpnHMd5kWk4XV4kelKpVNi8eTO/0AWTpfFtCiDOicSBU5geItYG/gY4I0mLMQywb58ajz/ueY+XXurGM884FhUtjfXApi+EKXitVstre5FajdFo5Mk4FhpxUlosjlAoFLDb7eju7gZN02hoaAh7itpfS/OttzL4f/9Phk8+kdJjoYJlKaSkcDCZTqXBOM7zbzZb+A/WRRed+k4oiuIXu+rqatjtdnR0dECv1wMA+vr6YDabIx5ujBYzMzNob29HTU1NxEZORP+MuBMSMh0eHkZHRwevf5afnx+0HmK329HY2IjMzEysW7cu4GcRqFYTaICzpKSEX0jJgCIxsxLK0oSbFtPpKNx4owaHDnmWm7vucuLee10LTPn8Id7dW4HOJ6zVEJ8hg8EAo9HIa8SRIddoJIWktFic0dHRgby8vAWyHqHCH7nI5cAzz9DYsUMZcRvtZwksS0Eu5/BplgWZmRzMZk9BP5LJ/KoqFuvX+w93GIZBT08PnE4ndu7cCbVazUu0C4cbyY4/1m2bo6Oj6O3tRW1tLQoKCkQ5pi+ZOhwOvtU5mP7Z/Pw8Tpw4gaKiIqxcuTKsRT6cAU5SixGKSRLjLwCYnJyEXC5fNLX30UdyXHedBpOTMqSkcHjiCQcuvzx01Y1EkEsoa4wwqhGmGAcGBqJSvpYilxjAnzLn6OgobDYbSkpKsH79+ojDzkDDmOvWcdi3j8F99yXNx5DUUCgAh4OCSsXBZvP8W0pKZKZql17K+G0ACGRHLKxjWCwW6HQ6jI2N8R1Qoez4wwXHcejr68P4+Djq6+ujcgRcDBqNxmux8qd/lpqaiomJCVRUVGDFihVRvc9wBjjJtRGJ/I8++ggMw6CjowMMw3jJ0hCi5zjgiSeU+NGP1GAYCqtWMfj97x1YvTq8uaZ4k0skcvuEjHNycviohqQYyUYh1KjGZrNJkUsswTAMOjs7odPpkJGRgezs7KgepGCT/nv3MujqovDii9JwZTDIZBycTs93oFAANhsFpZKL2K3T3+41mB0xgdCPnBhzGQwG6HQ6rx1/fn5+yDbI/sCyLDo6OmA2m7F169a4PvD+9M+GhoZ406iJiQm4XC7RUoTheNUQUqqoqEBGRgYsFgsMBgMmJib4hgWVqgAPPliNN97wzCBdfrkbv/ylA5FsyJM1cgkGrVbrJZRKajXEzydYO3i85fZjiaQjF7vdjqamJlAUhZ07d6Krqytqw7Bg5MIwNG66qQUtLdVoa8uJ6jynM8hwpEZzqr7CRmjyecYZDDZs8E6JhWNHLASpFZDhRrLjJ2k1kt7Jz88PeeCSdGG53W5s3bo14dPSJpMJ09PT2LhxI3JycvgUYXt7OxiGCUv/LBQEG+C02+1wu91gGAY0TSMlJQWpqalYsWIFXC4XPvjAiltuKcD4uAYKBYM77xzBN79JQ6XKARC+LM1SiFyCQRjV+Pr5DA8P87Uc0hJtsVhEMbfzh3379uGBBx7w+rfCwkLeNExsJA25UBQFg8GA5uZmFBUVYc2aNZDJZKK4UcpkMr/HIDLtCoUCf/+7Eueey6K/XyrwB4PDQVR+PX4ukcDX+3x8fDwqO2IC4Y6fSNjrdDovG2Qy3JiZmemXwIhcvlqtxpYtWxI2qAmc0k8bGhpCXV0dLy2zmP4ZeY9iSL8Ioxqr1YrW1lYUFRUhIyODJx0PKLz4ogZ3350Dp5NCWRmLp57So7R0DmNjBnR3d/GyNHl5eSGnL2M95+ILlmVjZkMNLLR/MJvNMBgM+Nvf/ob7778fFRUVKC8vx4kTJ7Bp0ybR3/u6devw9ttv83+Ppfpz0pDL6Ogo2tvbsWbNGi9bT4VCEbUbpUKh4Hdg5IYmRFZcXMwP5R08SOPMM5V8N5SEwIiUWFavZrF7tyfk4TgO/f39GB0dRV1dHXJyxIschWKGwjZgnU7HR8YkosnNzYVCoeDTcjk5OfzmJlHgOA49PT2Ynp7Gli1b/OqnBdM/GxkZ8VJWjlb6ZW5uDidOnPBqwybPlMnE4D//U4s//ckTNe3e7cLTT9uQk6MGRa3wSl8aDAaMjIx4dV8Fq0MsxbRYqBD6+XznO9/BRRddhDvvvBMzMzM466yzkJKSgq9//et49NFHRTunQqGIW0t/0pBLdnY2tm7duqBoKkbkIpSRkcvlGB4eRm9v7wIiW7mSwyuvuHHJJRLBxAp33+2GTHaqpjE7O4utW7fGPM8sbAMmO0Yi19LW1oa0tDRYrVYsW7YMq1atSugQG/ls5ubmsG3btpCn+v3pnwnfY1ZWFp8+C6eDyWQyobm5mW8kIJDJZPjoIxm++c1UDA3JIJNx+OEPnbjtNvunskCe1CdFUfyiJrw2YvUs7K4ihm3k2hI55xJvVFVVAQBuueUW3HDDDThy5Ah0Op2o5+jt7UVJSQnUajW2b9+Ohx56CJWVlaKegyBpyCU9Pd1vTlwul8PlckV1bEIuLpcLfX19MBgMfokMALZt4/DWW25cdJESU1MSwYiJLVsYXHEF42VHvG3btrjXNIQ7xpqaGoyOjqKnpwcpKSkYGxuDwWDgU0tZWVlxXWxomuaFObdu3RqxfL7ve7Tb7XxUE47+mV6vR2trK1auXOm1EXO7gZ/8RIlHH1WAZT1psF//2oVdu1gA6kUHODMzM5Gdnc3PNJGoZnBw0Eu1mKbpuN4f8Yxc/IEU9FUqFc466yxRj719+3b87ne/w8qVKzE9PY39+/dj586d6Ojo4LXWxETSkEsgROJG6Quy8zlx4gQUCgUaGhqCFndrazm8844LF1ygwtCQRDBiQC7n8NhjLtjtge2IE4Hh4WH09/dj48aNyM/P5w3DiOQMy7IRT9GHC5fLxdcAxa73ED+YxfTPhI0P09PTaG9vX6CO0NdH4cYbVTh+3PPdXX01jZ/9zIVMgdFrOAOcJOISTsITh0mHwwGtVssTjhg21MGQyMgFiG0r8p49e/g/r1+/Hg0NDaiqqsILL7zAm4iJiaQnl3DdKP3BZDIB8LgObty4MaSbp7ISeOcdFy6+WImODqnIHy3uvJNGRYUJH38cmh1xrEHsGiYnJ7F582Zkfroy+hqGzc3NeU3RZ2Zm8ouwmEKGdrsdJ06cQHp6Ompra2O6wPnTP9PpdF76Z2q1GiaTCevXr+cHRzkOeP55Oe66SwWbzaOM/fjjLlx++eLPZzgDnEQNoKamBi0tLaAoCnq9Hn19fdBqtXxUE4uoMpGRC/kuYuFP5A+pqalYv349PxgrNpKeXKKpuZBBzJ6eHigUCqxYsSKsm7GkBHjrLTeuvVaJt96SCCZSbNvG4JvfHEVjY+R2xGKCZVm0t7fzNY1Au2GKopCZmYnMzExeVZikloj+lhjS+sRFtaCgIO71HqH+WUVFBdxuN7q7uzE9PQ25XI6Ojg5MT0+Dogqwb18pXnvN0xRwxhkM/vd/XSgtDV9ULpwBToqikJ2dzQ9wElka4qMjlKURw9snGczC4jXn4nQ60dXVhc9//vMxOX7SkEugByrSbjGWZdHZ2YmZmRls3ryZT3GEi5wc4JVX3Pjv/5bjRz9Kmo9rySAry4GbbvoAPT02rFixIqpWYzHgdrvR0tLyqXnctrDSXMIpeqK/JUwtCedNQl3oZmdn0dTUFPZ8TyzAcRyGh4dhMBiwbds2pKenw2w2409/cuG//qsYJpMSSiWL73xnGnv3ypCRkQZAvFZnwHuA0+l0wmq1IicnBy6Xy6v7zVdx+uTJk0hNTfVy4IyEJJIhLRYrcvne976Hiy++GGVlZZiZmcH+/fsxNzeHa6+9NibnS/rVMpLIxeFwoLm5GSzLoqGhAVqtNqoISCYD7rqLgVp9HL/4xVZMTUnT/KFAq+Xwi18MoKDAhdxcz7DW8PAwcnJy+B1/vJwkAc99ceLECWi1WtTV1UWV/hBa6ZIpep1Oh8nJSXR3dyMtLW3ReRNS14lGDFMskNbnmZkZbNmyBWlpaZiZAb73vQL85S+eZWL1ahoPPzyGvLwJNDYavfTPcnNzRUknkajG5XKhvb0d6enpfL3H16tGq9WirKyMbzUnkittbW3gOM5LlibUTUQi02Isy8ZUuHJsbAxXX3019Ho98vPzsWPHDhw9ehTl5eUxOd9pRy5kJ5ibm4t169bxN4pcLo8ochFi06Y5vPWWHnv35ktpskWgVnPYv78dy5fPoK5uBzQaDS+C6G8Rzs/PR3p6esx27vPz82hqakJeXp7oZmO+qSWXy8XP1JB5E6EkjUKhwMTEBLq7u7Fu3bqA9tzxAonySVu4RqPFgQNy/Od/qmAweARL77iDxr33uqHRFAAo8FJDIIV3oSlaNIV3sglIT0/3Un0O5lUjk8mQn5/P2zeQ4dKxsTF0dXkGOAkJBrvPEhm5WD81SYpVzeWPf/xjTI4bCElDLoG+7HC6xciNVFNTs8BUSoyuM48Hhht//7sbzzxjwb59aTCbEysNkoxISeHwwx82Y9s2KzZsOGVH7DvYKBz6I86IYuiC+cJoNKKlpQXl5eWoqKiIeepJpVKhuLiYtxqenZ2FTqfjRSi1Wi0cDgfWrl2bcGJhGAZtbW2w2+3YunUrDAYNbr9dhdde83z269ezePppJ+rqvGsr/vTP9Ho9dDodTp48Ca1Wy3+X4RTeiZ0A0ZcTflfheNUQsifDpaTVeXR0FBRFeQ1wCodLE1lzIeQiCVfGCaRbLJiHhNBIrL6+3m/PtljDmAzDYHBwANXV/Th8eAOefnoZfvUrKU1GkJvL4Ac/OIbPfU6F1auDy1f4Dv2ZTCbodDpeF4zUMPLz8yOedZicnERnZ2fU0jKRQqgttXLlSnR2dmJ6ehppaWno6OjA4OCglyRNvGdqSP1p8+YteOklDe69V4W5OY/y9T33uLF3L41QBvvJpqG8vBw0TfOmaG1tbSHrn9lsNjQ2NvLRZbBNQDitznK5HIWFhTzZkw7AoaEhXlWbkE0i02I2mw1KpTLhWnZigeL82T8mCC6Xa4EbpcvlwjvvvIPzzjvP75dOZgNomkZdXV3AcLy5uRmZmZmoqKiI+PqOHj0KwBO219XV8e2rx49T+M53FGhs/GynyjZudOKOO97Htm0lUdkRC9tjdTod5ubmeM2sUGX1SXF6YGAAGzZsiJkYYKgQpp7q6+uRkpLC1wl0Oh1viubP5jkWcLvd/NxXamod9u7V4vBhz/O1ZQuDp592Ye3a6JcGYYpKr9fz3yUhGlKPslqtOH78OIqLi6NuU/dtdRauKST6IeQkFJI0Go1gWRZFRUXIz8+PmZVxILS0tODiiy+G0WiUbI7jAfLl0jS9gFyI3lFWVpaX1as/RJsWczgcsFgsUCqVaGho8NpdbNnC4f333fj732V46CE5Wls/WyQjk3H45jcN+MIXPsamTWuiTvX4q2GQlMvQ0BCUSqVX+sx3t++ry5WRkRHV9UQLhmHQ2toKp9PppbKsVCoXtXkm71NMX3Wn04kTJ05ALk/Dq6/W4Re/UMLloqDVcvjRj9y45RYaYm3eQ9E/y8jIgMlkQmlpqSjzT77pMwABoxqlUoni4mIsW7YMTqcTH374IeRyOW9lTL6DeAxwWiyW0yYlBiwBciG97r4prYmJCXR0dKCqqiqkPHo0BX3SJKBQKFBWVuY3bJXJgEsvZXHJJSz++U8PyTQ1nf4kU1vL4Lvf7UNBQT82bdoUE0Mt3/SZcLrc7Xbzu/28vDzI5XK0t7fDYrGEpcsVK7jdbjQ1NUEmk2Hz5s0BoxF/Ns9CuRa1Wu01UxNp+ozUNDo6yvHLX9ZgaMhznPPOY/Dzn7tQWRnbRIbvdzk+Po6TJ09CoVBgZGQEc3NzEemfBQL5nEIZ4CSkQxw+iQOnwWDgvwPhAKfY6TPShnw6RC1AkpELRVEL0mIkZ0puAjJZPTo6ik2bNiE/Pz+kY0dacyEkVlNTA5PJtOD6Fr4H4OKLWVx0EYvXX5fhmWdkeOON068mk5fH4Z57nNi69QScTivq6gIPI4oJ0nlFWoCJK+Xo6Cg6Ojogl8uhUCiwfv36uLY5+wPpekpNTQ1b6safXIs/m+e8vLyQ22wtFgtef70Tzz23DYcOZQEAli1j8eijbnzxi/6dQWOJubk59PX1obq6GuXl5Tyh6nQ6fjEn33U0Q6pCBPOqMZvNkMvlcLvdoCgKarUay5Yt478DMsDZ3d0Nt9uN7Oxs3oZajE2M1WqNyzMULyQVuQQCSWkRwUOHw4GGhoawQshwBTD9kdj8/HzI0Q9FAXv2sNizh8XwMI3nn5fjueeoJT8jk5/P4fbb3bjuOit6e5sBeNsRxxNCV8ri4mI0NjZCoVBArVbjxIkT/AQ9yZ/Hs1hOpu7z8vKwZs2aqJ1UhXItpIYxOjoass2zTmfGvn1m/PGPZ8DhkEGh4HDrrTS+/313RA6R0cJoNKK5udlrxicU/TMx56OETQEzMzM4efIk1qxZw2c5fDvQSKv1ypUrYbVaYTAYMD09jZMnTyIlJYWPaiJtzLBYLKeNCyWwRMiFeG0QafSGhoawC23hRC6ki8Zms3mRWKTRT3k5cP/9DG691Yxnnx3FyZOb8NprMszOLp3wt76ewU030bjiCgZu9+J2xPHE3NwcmpqaUFhYyMuniLXbjwSzs7Nobm5GaWkpqqqqRE1z+NYwnE4nnz4jNs/kPXrqUXL86U82/OAH6ZiYKAYA7NrF4Be/cGHdusT08hCl5dWrVwfs4Aukf0bmo1JTU3lCjXQan2BmZgZtbW1eOmq+rc7+BjiXL1/Od8eRAc6Ojg4wDOM1wBlq91csBygTgaQil2Ctxl1dXaioqOCNisJFqMRgtVr5Ke4dO3Z47cgDOVqGCpVKhq1bp/D979Mwm214/vlBHDtWjKNHCzExkXz1mRUrWFx2GYOrr6axZo1nIYrUjjhWMBgMaGlp4b1GyPX42+2TocbOzk5kZmbyi7CYApRk4ayurkZZWZkoxwwGkrohzobCdu6eHhVeeGEDGhs9nXL5+RwefNCFa66JfwqMYGZmBu3t7Vi7dm3IplX+9M9Iq3NzczMA8K3O4SpXE+VnIbEAi7c6+w5w5uXlebmDGgwGTExMoKenB2lpaV6yNIHutXjqisUDSUUuvuA4Dn19fbDb7SgrK0NNTU3ExwqFXIg7ZSDDqGg7zmQyGV+Qbmpqwu7dJbj11kywrB19fcCRI3IcOaLAkSMyDA7Gn2zS0jjU1dmxfr0etbWDKC+3oaAgH3l5+WCYHExNTYliRywWJiYm0NXVhbVr16K4uDjg7wl3+0IBSmFunxBRNEq7ZKbGV6I+XiCDjSybi6eeUuK55zxeK0oliy9+sR/f+MY4VqzIwdxcvigWyOFiamoKHR0dCxbycCE0fhN22RHl6oyMDH7jEKxAPj09jY6ODmzYsGHR2m0kA5yk05FENUThWRjVCDevUuQSJ5DUlNVqRXZ2dtSMHoxcOI7DyMgITp48ibVr12LZsmV+fy/ayIWQS2NjI1atWoXly5d/eqOyqKmRYeVKFtdd55n1+eijQRw7ZoXbvQpDQ2no7KTQ1ycTzSEzL4/D6tUs1q1jsW4dh/p6BuvXc/BkG/PAsjn8ZHlPTw8cDgcAoKysLOEzI0Jv+U2bNoVtdOQrQCkc+BP6t+Tl5YVcSyK+MJFcj1hwOoFnnlHgpz9VYm7Oc59ccIENjzxCobS0AHq9DHq9HidOnABFUfx7JDbPsQSRu9m4caOo949vl51QuXpwcDCg/hkhlvXr14fcFEQQ7gBnQUEB74BK6mUjIyPo6upCRkYGtFotzGZzXFqRn3rqKTz66KOYnJzEunXr8Nhjj8VMFTmphigZhgFN07yXuVarxcaNG3kfjWgGIMki+bnPfc7r38lwm06nQ11dXdBW2qGhIZhMJtTV1YV9fo7j0NXVhZGREWzevBl5eXn8DSmTyfjdFU3TaGtrg81m8zsUarMBExMUxscpTE5SmJ+nMD8PWK0ULBaP54ZM5vlPLgcyMjhkZQGZmRxycjiUlXEoLeUQalMKkac3mUwoLCzE3Nwc5ubm+N1hQUGBqDMYoVxPT08P/32JqcNE/FvIUKPFYvGaNfH34JPoenx83GuwNp5gGOCPf5Rj/34lRkY8C19VlRmPPOLGF76w8IsWWiDrdDrYbDZkZ2fzZCN2x9LY2BhOnjyJTZs2IScnR9RjB4NQ/0yn08HpdCI7OxsqlQrT09OiEx05Z6gDnE6nEwaDAYcPH8Ydd9wBtVqNsrIy3H///Tj33HNFn886cOAAvv71r+Opp57Crl278Ktf/Qq//vWv0dnZGZMUbtKRy8TEBFpbW7F8+XK+37y9vR1qtTqqtJjRaERbWxvOPPNM/t+cTieam5vBMAzq6+sX7UAZHR3lB/PCAbGutVgssNlsOPvss/mOFCGx2O12NDc3Q6VSYcOGDQnpwBJCaEe8adMmvjDpdDr56Xmj0QiNRsOnlWIpYUKGEe12O+rq6mI+w+JwOLzep1ar9XqfANDV1QWj0Yj6+vq4pzQ4DnjjDRl+9CMVb2iXn+/GV7/ajf/8zwJkZYVGvDabjd/tG41GpKSk8Lv9aA25iErCYhu3eMBqtWJgYABTU1OgKErU9+kP/rxqyHJLajXk/w6HA9dffz1MJhNMJhP6+vpw5ZVX4sUXXxTterZv3476+no8/fTT/L+tWbMGl156KX7yk5+Idh6CpEqLjY2Noa2tDbW1tV45dDF1wQiE0/3r168PqYc+krQYcRhUqVTYtm0bDh06BJfLBY1G40UsZrMZzc3NyM/PF121NxLYbIHtiNVq9YK0kk6nQ0tLCwDwO30x0y0ulwvNzc2gKApbt26NC/FqNBq+NVZof9za2uqlQZUIYjl2TIYf/lCJDz/0XENWFoevfW0c557bhZ07N4V1PSkpKSgrK+MNucSyeR4cHMTQ0BDq6+sTEtH5gkSl5Hp806FCVWcx9L2CedX41moUCgVYlsVll12GvXv3YmBgAENDQ1FfA4HL5UJjYyPuuecer3/fvXs3jhw5Itp5hEgqcikoKMD27dsXhINksCkaCMllamoKbW1tqKysDKvjKdwpf5PJxLfIrl69GizLIi0tDR999BFyc3NRUFCAvLw8GI1GdHZ2orq6GsuXL094BxZppQ3FjpjklEmnjNls5gvlbW1t/GyC0Js9XBCiIxLsiRAWFNofkwfV7XZDoVDg6NGj/EAdkWqJFZqaKDz0kBL/93+eR1ej4XDTTW5ccEErKMqE+vr6qCI6MWyeOY5Df38/xsbGsGXLlrjZ9gbD5OQkurq6sHHjRr4mJpTeId2EY2NjXrNDwfx4wkWwAU6Hw4Fjx45hxYoVAMCvTWJBr9eDYZgF0kyFhR6fpVggqchFrVb73bHL5XLY7faojk3Ipbe3F0NDQ9i4cWPYHSvhRFDj4+Po7OzEypUrUVZWxt9M27dvh81mw8zMDD9VDgAlJSXIy8tLOLGQjp5I7IiFxdWampoF3uzhik8CpyK6oqIiPk2aSDgcDr4euG3bNv7eJOmz3t5epKSkeKXPxLjmlhYPqfzzn55HVibj8I1vMLj7bgcMhhY4nU7U128VdX4nEptnjuPQ29uLyclJ3nQs0RA2E/hrtvDtJvSnfyZsChAjGhdGNU6nE9/85jdRUFCAb3/721EfOxh878VgavPRIqnIJRCI7L4YmJiYwI4dOyLaTZFur2AgD9fIyAjq6uqQm5u7oHCflpYGrVYLq9UKp9OJkpISzM3N4ciRI0hNTeUXpni2i5IOrMHBwZBaM0OBP+8WofjkYtPzJDVTVVUVM7e8cEBmoHJycrBmzRr+mokjIkkrkTQhmcGIJk3Y3u4hlVdeIZ44HK68ksE997hRWenRLQMQVLdMLPizedbpdLzGW05ODmiahs1mw9atW5NCyoQQSzjNBL76Z7Ozs7zGW1tbm6iCom63G9dddx3Gx8fxwQcfxKzTkOju+UYpMzMzMfMUSqqCPsdxfiVaxsbGMDk5ia1bt0Z0XCLWZ7FY8PnPfz7i/DgRsDz77LP9/px0es3Pz/Oy6qSYJ6yvOJ1Ovj6xadMmfrdJhsNmZmag1+v5aeuCgoKYypcQPxy9Xi96B5Y/CBcmnU7H+30I23/Hx8fR09MT1rBdLGE2m9HU1IRly5aFPMgrTBP6dmXl5+cHTV81NVF49FFvUrnsMgbf/74bq1d7nhNSy9u4cWPCPEgAz/u0WCzo6OiA1WoFy7JekjSxdBgNBnIPidmlJtQ/M5lMUemf0TSNG264Ad3d3Xj33XdF2dAFw/bt27F582Y89dRT/L+tXbsWl1xyyelf0A8EhUIR8fAi0TAqLCyExWKJaoEOFrmQwr1SqcT27duhVCr5aEtILPPz82hubkZWVhbWrl3rdTMKh8PIsCWRL2EYhn9Y8/LyRCuUu91utLa2wuVyYdu2bXERexT6z69evZovtA4NDaGjowNqtRoulytpiIUMwIUbQfmmCYnFM3FrJFEqMQqjKAoffCDDo48q8fbbp+6LL3/ZowFG/FWIICZptkh08weJelmWxa5duyCTyRaklYQzNfEgwli1Py+mfyY0RQv2LDEMg29/+9vo6OiIC7EAwN69e/H1r38dW7ZsQUNDA5599lmMjIzgP/7jP2JyviURuQSaUVkMo6Oj6O7uxqpVq1BWVoa33noLDQ0NEeeBrVYrPvzwQ+zevdvr30lEk5+fjzVr1ixoOSTEQtI8K1asCMtuVzh/MTMzA5vNJkqhnLQ+q9VqbNiwIa7GSP7Asiza2tpgNBqRmpqKubm5hKUJCUgNajEVgHBBolTPd6pHU1Mh/vrXVWhp8USNcrkn/fXd77p56R3glFtjTk7OAhvgRIB8ZzabDZs3b15Q8xHaPOv1ejgcDq+Zmli0kxNiqaurQ3Z2tujH9wcSvRFSNZvNXvpnwtobwzC47bbb8OGHH+LQoUMBh7ZjgaeeegqPPPIIJicnUVtbi1/84hc444wzYnKuJUEuRqMRra2tOOuss0I6jtD2uK6ujt+5vPPOO9i8eXPEbZEOhwOHDh3C+eefz98ok5OTaG9vR01NDV+4902DEQWA/v5+rFu3LuocJ2kI0Ol0MJvNSE9PR0FBQdAOHl8QsceCggKsWrUq4btfMgvkdDpRV1cHjUbjtQDr9Xp+B0xMwmK9Ax4ZGUFfX1/MnCydTs/w4y9/qUB3t+e9KJUs/u3fRnD99Tps3JjhtXmYn5/HiRMnRHFrFANCE7RQaz5Wq5VfgE0mU8AFOFIkglj8we128+/TYDAAAF5++WXU19ejra0Nhw8fxrvvvpsUtcRYIanSYoFurHC6tMjgn9PpRENDg1dRUQz5FgA8efT19WF4eBibNm0KOHFPiE6n00VFbEKkpKRgxYoVfKGcpFoGBgagVqt5osnKygogv67jW7GjsSMWC2SYVaFQYMuWLfwi5ZsmJDvg7u5uPgVB2rnF7JISttKK9Z0JYTQCv/mNAk8/rcT0tOezT0/ncMMNNG67jUZGRip0Ohump6d54cP09HRMT0+jvLw8KQRDGYbhB5DDaSYgTR7l5eVeNs/C5geSPgu3QWF0dBR9fX2or69P+MAmcbgsLi4Gx3H8EO7jjz+O0dFR1NfX4+WXX8aFF16I9evXJ/z7jAWSilwA/4ZhoXaLEQ+N9PR01NXVLUjzRNt1RnbKLpcLPT09MJvN2L59O1JTU/0Si9vtRktLC2iaxvbt22NSz1CpVLwqrr+BRrLTJ7lushsXI4ISA1arFU1NTcjMzMS6desCRlDETyMnJwcrV670MgkTqhwHkmkJFUSmx2AwiN5K29JC4Ve/UuLAATkcDs89UlLC4pZbaFx/PY1THHaqy87tdmNoaAjDw8OgKApjY2NwOp1xrV/4gqZpNDU1gaIo1NfXR5xOFdPmmRBLMigB+IKiKF4fkaZpHD58GN3d3Xj11Vexf/9+dHZ2npYRTFKlxQDPwu17SSQdtXv37oCLz8zMDFpbW1FeXh6wm+fIkSOorKyMuEjMcRzeeOMNpKWlQalUYtOmTV6Fe2F9xWq1orm5mXchjHc9g+M4zM7O8ukzp9PJF8ojEeuLBciwZjgdWP4gVDn2laMJFL35A8MwaG9vh9VqDUkOKBS43cArr8jxzDMKfPTRKSLYsIHF7be7cdllDIIFXcRrZM2aNSgqKuKjN/Kdim2gtfj7cfONK7HsUhPaPBuNxqA2zyTlnIzEAniexR//+Md4/vnn8e6772LNmjX8z8hzeTpiSZALTdN4++238W//9m8LQmWO4zA4OIj+/v4FsjG+OHbsGEpLSyMuoJnNZnz00UcoLCzEhg0bAMDL14EsYkajES0tLSgtLY1q0RQLNE2jubkZFosFarUaVqsVmZmZfPosEfMIxNdDbN8TYfSm0+kAhDZnQqJMoqMWbZptagr47W8V+M1vFJia8iyECgWHSy9l8B//QWPHDnZRTxViKeBPop4YaBFSNZvNSEtL40k1Fu2/pP1Zo9Fgw4YNcavTCY3f9Hq9l/Gbw+HA8PBw0kjM+ILjODz88MN4+umn8c4772D9+vWJvqS4YUmkxcjuiGEYL3IhO02TyeRXNsYX0aTFiGSMTCZDRUUFrw9EhOcIxsbG0NPTg9WrV8e1CyQQSD1DLpdj165dUCqVXoKMvb29ce/IGh0dRW9vb0xSc/7kaGZmZtDX14f29na/O32n04kTJ05ArVajrq4u4t04ywKHD8vw/PMKvPKKHG6353MsLORw4400briBRnFxaHs5kr4MJOEvNNASDqkSqRYiNS9W84PT6URjY2NC2p8D2Tz39/fD4XAgNTUVBoOB91JJ9GaOgOM4/OIXv8CTTz6Jf/3rX58pYgGSkFz8gSzgwlkXIsNBURQaGhpCCi0jKeiT4u7g4CAv/0/TtN+OsJMnTy7oUEskiHWBrx2xUJBROLh54sQJ/kGOxeCmsFAej6KrcM6E+J4LrXLT09ORlZWF6elpZGdnB635BMP4OIXf/16O3/9egaGhU69vaPBYQ19ySfDUlxAkEh8eHg6rmcB3qpwMqQqbHwiphpuGcTgcaGxs5OtiiVy8iVSLyWQCTdPYtGkTT6z+bJ4TNVzKcRyeeOIJ/OxnP8Obb76JTZs2JeQ6EomkS4u53W6/g4r/+te/sGXLFmRmZvJzJXl5eWEtCK2trUhJSUF1dXVIv88wDNra2jA7O4vNmzcjLS0NR44cAUVRKCoqQkFBAbRaLT+Zb7fbsWnTpqSQvYjEjpgsSqROQybnCwoKIure8T12Z2cnTCZTQlSEfeFyuTA6OorBwUEA8HKjDIVUXS7gtdfkeP55Bd5+WwaW9Xy+mZkcrrySxnXX0di0KbxHi2xQpqamUF9fL4pSgtB/XqfTYW5uLiyNNzJXQwZekyEqIDJFmzdv9spWCElVr9cnpCYFeD7zZ599Fg888ABee+01NDQ0xOW8yYYlQy6HDx/G+vXr4XA40NHRgZqamrDbaDs6OqBQKLBq1apFf1cYGZEcPMuyC+QfUlNTeQn9uro6UVtiI8X4+HjUdsTCwU2dTger1Rrx4CZxFXW73airq0uKAiapi1VUVGD58uV8Tl+n0wV0o2RZ4OhRGQ4ckOPgQQUMhlP33uc/z+Ab36Bx6aVMyEZsQnAch87OThiNRmzevDlmGxTSuk7mL5RKpVf6TEiqVqsVjY2NKCwsTArRUAB8VFdfXx80DR6oJkXea6zSvxzH4fnnn8f3v/99/POf/4zZgOJSQNKRC03TflNX77//PtLS0mAwGPi5knDR3d0NlmWxdu3aoL9HvF6EU9D+Cvd6vR6tra1QKpU8wZCUklhquOGApJ1GR0exceNGUVNzRLpkZmaGH9wk7zXY4KbT6URTUxNvgJZoFQDAY3Hb3t7ul3z9kers7DJ8+GE5XnstG6Ojp9IshYUcvvY1Gt/4Bo3q6sgfIzLlLmaXWigQarzp9Xq43W6eVLVaLVpbW1FSUpIUTSkAvNKF4UZ1wqFGMpArttIxx3F46aWX8N3vfhd///vfA2oQflawJMjF7Xbj8OHDkMvl2LZtW8Qpld7eXjidTtTW1gb8nenpabS2tqKqqgorVqzwsioV7uqmpqa8PFhYluVrFzqdjp8mLygoWLAjjAVYlkVHRwdmZ2dRV1cXU6lzkuOemZmBwWDgU0oFBQVerb+Baj6JBGkmWKwde2SEwv/7f3L88Y8ydHScWnhSUmice+4cvvIVDhdcoIFSGd2iyzAMWlpa4HK5UF9fn7DIl8iXEIsEq9UKtVqN5cuXh6X8ECsMDAzwFuHRpguJzTMhVTFsnjmOw5///Gfceuut+Mtf/oLzzz8/qms8HZD05EJkzl0uF6qrq6MaNhoYGMDc3Jzf4pqwpXnDhg0oKCjgjXyE0QrHcfyNvn79er8RFJkmn5mZwczMTMxEJwkC2RHHA/5af8nOd2hoCGVlZaiqqkr4zlf4vfmbh+A4oLWVwquvyvGPfyjQ2nqKCJVKDrt3M7j8che2bZvG/LxHtZoIcEbakeV2u3l3zU2bNiVFVEfqmcuXL4dGo+HTZ0T9N9SalJgQk1j8gdg8k1R3JPbHBw8exLe+9S0cOHAAF110kejXuBSRdOTCMAzfFabX6/l5EYvFgtzcXN6pLRIMDw9Dr9dj8+bNC87Z0dHBe6Gnp6f7JRbye2azOeTowFd00m6387WLgoKCqHeqweyI4w0yuDk0NAS9Xg+KovgFKT8/P6G7ciLBU19fz39vbjfw4Ycy/POfcrz6qhwjI6cWEZmMw86dLK68ksGXvkTDN8MoLB7rdDqvlFIocjRkZoSIhibyeyMgCuI1NTVeRnG+cyak0YMswLH8XkmaN17GY0KbZ71eH7D+JsQ///lPXH/99XjxxRfxpS99KebXuFSQlOTidrsxPDyM3t5erF27FsuWLUNLSwvS0tJQVVUV8bH9+cKQmgDHcXxBPpAHi3CXGekDZbVa+dTZ3NwcP8xIOs/CQTh2xPECmc+ora1FSkoKT6rz8/O8REtBQUHcOupYlkV7ezvvscMwWrz9thz/+Iccb7whh8l06jPTajn8278xuPBCBnv2MAhVxECYUtLpdF7v1Z8cDbFnyMjIiLj9WWwQW4FVq1YFnc8SWgLrdDpYLBav9xqteZbwPAMDA7y+WyIcLYUbQ71e7/Ve5+bmUFtbizfffBNf//rX8dxzz+HKK6+M+zUmM5KOXFwuF9ra2qDT6bzSFx0dHVAqlVi5cmXEx56cnMTQ0BDfGjg/P4/GxkZkZWWhtrY2YOGeeLBkZ2djzZo1ou0yhcOMRGaeEM1iLaLR2BHHAsSBc2JiAnV1dQvmM3zfa0pKCq8QEKvOHdKlNjMjw9hYHV5/XY1335XB6Tx1rtxcDnv2MLj4YgbnnBNZp5cvgsnRKJVKvo0+WVp7iZDpmjVrwrYV8H2vwpbuUFNKviCNKePj4wkjFn8g77Wvrw9f/vKXkZmZCafTiW9961t44IEHYmIfsJSRdOQyPDyMgYGBBV0z3d3d4DjOS5cnXMzMzKC3txe7du3CzMwM34paWVkZsHAfqQdLuCDdLKRITvzJfYvkQjviZNEII80EJF24WMMFTdP8gkRqF0IpfTF28vPzLvzsZ5N4++1iNDdnguNOfW8VFSwuuojBRRcx2LGDRSxLHSTNQqJVmqaRlpaGyspK3no2kSCdc7W1tVGrJZD6G/luQ0kp+SJZicUXb775Ju69914UFRWhr68PRqMR5513Hp5//vmklKFJBJKOXBiGgcvlWrDA9Pb2wuFwRCWhYDAY0N7ejrKyMvT19WH9+vUoLCz0q2jMcRxPdPFWECY5brIgAafUjXU6HQwGQ1zsiEMB0eRiGCaiOR9h7YI0P4S7IPlictKB3bsVGBg4NQdRX++JTi68kMHatdyiul5iY3Z2FidOnEBRUREUCgV0Oh0cDkdChvwIJicnee0ysTcp/lq6s7Ky+PfqbwPCcRz6+vowMTGBLVu2JHzQNhCOHDmCL3/5y3jkkUdw0003AQDa2trw9ttv484770yKaDQZkHTkwrIs3G73gn8fHByE2WyOSkbBaDTi+PHjUCqV/BBWIA+Wrq4u6PV6bNq0KaE7EVIkn5qawsTEBFiWRV5eHoqKiiJefMUCGTQlQobR7sJJPp+QqtVqRXZ2Np8+C2XxnZ+fx4MP6vA//1MLpZLDffe5cdVVDMrKEnebk3ko30K5cHJeODsUyuR8tCCmWhs3bvSrXSY2hMPHxNuEvFcyE9bX14fJyUls3rw5aYnlk08+wSWXXIIf//jHuPXWWyUiCYKkI5dAbpQjIyO84VYkcLlcOH78OObm5nDWWWcFLNwLPVg2bdoU992kPxA7YpVKhcrKSj6qEU7NFxQUxLUFmXjnkNpBLIrSQs/52dlZpKWl8UTjb/E1mUxobm7GyEgtbr65HKmpHI4ccUQ14BgtSNppMZtkMjtEUoVi1C4CgUjUb9q0KSFujcKOLBKZq1QqOJ3OpFU3BoCmpiZcdNFF+MEPfoC9e/dKxLIIlgy5TExMYHR0FNu3bw/7mMQeNjU1FXq9Huedd57fwr3Qg2X9+vUJz4cDwe2IfafmMzIyvOyOYwUinRKOblm0WGzx1ev1aG9vx8qVK1FSUoo9e9T44AM5Nm9mcPiwM+5pMMAjw9PT0xN22knY+ktqF0LbgGiiVVKvS5ZFnNTrdDod1Go17HZ71AONsUBbWxsuuOACfO9738M999wjEUsIWDLkMj09jf7+fuzcuTOs4xFXxvLycpSWluLw4cPYtWsXNBqN10JNhB6TxYMFCM+O2Ol08ouRwWCIWTcWUSZYrGU1lvCtSZEIlFgAy+VyTExQuOoqFX72Mze2bVuoVRdrkHpdtDI8/moXZPElw6qhHmdgYACjo6MxG0YMF0Soc2ZmhtdTs9vt/HslA42+6bN4o7OzExdccAFuueUW/OhHP4rLNfzkJz/BX//6V3R3d0Or1WLnzp14+OGHvXQROY7DAw88gGeffZa3HXnyySexbt26mF9fKEg6cgE8C6Uv9Ho9urq68PnPfz6kY5CCPPENKS4u5u1ZTSaT13yJwWBAT09PVEKPYiMaO2LSjTUz45kkVyqVXp1nkaZYhoeHeQWDSLTdxAZRVRgaGkJeXh7m5+fhcDgEDQH5UKvjO7gpXMT9tWRHC9/FNxQvHmGhPFk6sPwRiy9omubVH/R6PYDQjN/ERE9PD/bs2YMbbrgBDz74YNzI7Qtf+AK+8pWvYOvWraBpGvfddx/a2trQ2dnJZyUefvhhPPjgg3j++eexcuVK7N+/H++99x56enqSYvOwZMiF5NNDEYMj8u5kViYzM9OrcO9yuXhpFqPRCAAoKSlBeXl5wjWUhL4wmzZtitrzhGVZr10+x3HIy8vjZfRDSf0JpeAT3eAgvKaenh5MT0/zqgr+5OXjObhJrmlmZsZLCSBWIO3rJFoVtnRnZ2dDLpd7XVOyFMrJNel0OmzZsiWk6Is0tpD3a7PZkJOTw5NNLGZM+vv7+UX+0UcfTeiwq06nQ0FBAQ4fPowzzjgDHMehpKQEd9xxB+6++24AnnWzsLAQDz/8MN/FlkgkJbn4szqen5/HsWPHcO655y762ubmZrjdbtTX10OtVvst3BMPFpvNhmXLlmF2dhYGgwEajYaPaOLhyigE8Y+xWq2oq6sTfTEUOjPOzMzA6XTyfi1kwM/fNbW3t8NiscTkmiKBcK5m8+bNARcWMvRGNhGxHNwkGxri/RPvgTp/cjQ5OTmgaRp2uz3kRTzWIFI8er0+qmsi9Ua9Xu8VweXl5YmSPhsaGsKePXvwxS9+EY8//njCVRT6+vpQU1ODtrY21NbWYmBgAFVVVThx4gTq6ur437vkkkuQlZWFF154IYFX68GSIRebzYb3338fu3fvDnjjkA6m9PR0XmeLiGAKC/fC7qsNGzbwiyrDMF7pJOJqR1wZY0k0QjvijRs3xrzFmOzyCdFYLBY+l19QUACNRsMLK3IcJ4qvvBigaRqtra1hqwiTFAv5bsUc3CSbArvdzm9oEglSp+ns7ITNZgPLsvyMSaybPRa7LjGIxRfETZWQDZHTJ+mzcBtzxsbGcP755+P888/HU089lXBi4TgOl1xyCUwmE95//30AnlmbXbt2YXx83CuV/61vfQvDw8N44403EnW5PBIvwxoiFAoF71vv72bR6/Vobm5GWVkZqqurwbKsX2KZnZ1FS0uL3+4ruVyOwsJCFBYWeqWTWltbAYCPaMSW0E+ENL3Qg72yspLP5c/MzODkyZNITU2F0+lEWloa6urqkkKx1+VyoampCQqFAlu2bAnrmhQKhdd3S3b5nZ2doGnaS7U6HGInEjMMw2DLli0JnTsiICoOAPC5z30OHMfxEU1fX19CiuQcx6GrqwtGo1H0KEqpVKKoqAhFRUW8Irler0dvby/a2tq8GiAWGy2YnJzEhRdeiLPPPhtPPvlkwokFAG699Va0trbigw8+WPAz3++OiO0mA5IycvHnRskwDN566y2cc845C3arw8PDOHnyJNauXct7iDMM45UGAzw3TmdnJ2pqalBWVhby9ZB8L9nlu91ufocfbWExEjviWIOo4wpN0Eg6KVEdO0TskUSlYj30QiFGMjsU6uCm2+1GU1MTH20mAwEzDIPW1lZ+ZsT3WfFXJCcLbyS7/FDgSyzxnB3zHVQN5kY5PT2NPXv2YMuWLXjhhReSYhThtttuw9/+9je89957qKio4P9dSotFCH/kwnEc3njjDZxxxhl83p9lWXR3d2NqaooXuQwk5UKkuwN5sIQKknIgREO6k4LVLQJBDDtisUHIbsWKFbxZGimi6nQ6Pp1EUoXx2NmRdGd+fn7MxR6FEVywwU2n04kTJ05Aq9UmzUwUwzBobm7mpXgWuxeFplmkBie0shYjvUfsm00mU9yJxRe+DRAymQxGoxF2ux27du3CFVdcgXXr1uGll15K+EaB4zjcdtttOHjwIA4dOoSampoFPy8pKcGdd96Ju+66C4Ansi8oKJAK+sHgj1wA4K233sKOHTuQnp7O1wOcTic2b94csHAfiQdLOLBYLAvqFiR9FujhjKUdcTQgWlOrV6/2S3b+dMCEnWexeCCJeVUiIrtAg5uZmZno7e1NKodN0mYPIKI0JsdxXkO5c3NzSE9P9xrKDfezJ8RCmhySQe2CgKTPXnzxRTz++OMwGAzIycnB/fffj0suuSThm72bb74ZL7/8Ml555RWv2ZbMzEw+pfjwww/jJz/5CZ577jnU1NTgoYcewqFDh6RW5GDwZ3UMAO+++y6/I2tsbERqaiqvaeWvvkKK5DKZDBs3box5Qdput/NEI5yYF7bBxtOOOFSQHP3Q0BA2bNgQktaUMILT6XS8CRpZjMT4rMkQqa8mVyJABjcnJiYwMzMDmUyGwsLCsFq6YwVhem7Tpk2iXIvL5fIayg1XjiaZiUWI2dlZXHTRRcjJycHZZ5+N1157DUePHsW///u/4+mnn07YdQUi8ueeew7XXXcdgFNDlL/61a+8hiiD2bjHE0uKXN577z0sX74cAwMDKC0tRU1NjZdUvq8HS1NTE3JychKyuyQT86QNNi0tDbm5uTAYDAA8u8tEdxUBpzp4yGxGpDseYecZMcuK1AQN+P/tnXlUk2fe/i8UwSiySwCVTXEDlc0iOlapiiJiota36hyV0apTl99Qbe1xtB20Ymu11h77Wmunr9i+vqNWEMR9AbXuEhZXcAdUSEBB1iSQPL8/nPuZJIYtJHke5P6c4zkl0HAHyH3dy/d7Xa/tfu7evWsUK3hjUVFRgczMTPTo0QPOzs7s5EvcjY0prM3FHImWLbWjYRhGq1Scr8JSUVEBsVgMOzs7pKSksOMku9XWxHtQ2pi4nD17Fkqlkk2nJPcrFhYWWuIhk8lw69YteHt7w8vLi/NL8rq6Ojx79gyPHj2CSqWCQCBgV73m7qXRhJTQ1tTUIDAw0GgVPCQYTCaToaysDDY2Nuw9TXPcfon/FZ+ODEkTL/mb0kRfuqg5yn7JvU+XLl0waNAgsyygmrKj6dy5M27fvo2Kigr2uJqPVFdXY+rUqejUqRMOHz7Mi/6tt402IS5qtRp5eXkoKCiAj48P+vTpw7sMlsbQjCP28fF5o9+CrPCN7X7bGKTZlMQ2m6qEVjMETfPeQjcEDfhPmmVRURECAwNha2vbyDObD3I81xw/Nd0dKyn7NfZCQi6XQyKRwM7OjtN7n5qaGvb3W15ejo4dO8LCwgL+/v5wcnLifGGnj5qaGkyfPh0qlQpHjx7lxdH02wgvxUWlUqG+vh7Afyzw5XI5OnXqBDc3N7bcWF8Gy4sXLxAQEMCbiamxOGJ91iyaJc6mmjBIWa+NjQ3bbGoOSFIhWfVaWFho2ZXk5uaivLwcQUFBvFlJkt+fIcdzuo2bHTp0YH+/remVqq2thUQigaOjIwYMGMCLCVytVuPmzZvsXWNZWZlJEkZbi1wuxwcffICqqiqcOHGCN/PE2wivxaWmpgYSiQRdunTB4MGDcevWLVhaWsLX1xeWlpbsm0qpVOLGjRu8ymBpaRyxvl4aZ2dnCIVCo1ZiEQt/oVCIfv36cTYxkWqdkpISSKVSKJVKdOzYEX369IGrqysvmhFJoJYxjDr12bMY0rhZXV0NiUTCNgHzRVhu3bqF6upqBAcHs1lJuq9XM2GUC7cHhUKBP//5zygpKcHJkyfNmmVz/vx5bNq0CRKJBEVFRTh48CDEYjH7+ZiYmDd6U0JDQ3HlyhWzjdHY8FZcZDIZsrKy4O7ujn79+oFhGEilUty/fx8KhYItge3SpQtu3rypZfnCNaT/prS01KA4Ys1ERplMhtraWraXpjVvTJKI2BwLf3NRV1eHzMxMMAwDR0dHvHjxgg1BIxfkXJzbk4WBKQK1Gmrc1LTe0UdVVRUkEgnc3d15EwuhT1h0YRiGLdkvKSlBVVWVWQ1Fgdd/Z3PmzEF+fj7OnDljlvRNTY4dO4aLFy8iKCgI06ZN0ysuUqkUu3btYh+zsrLizZ2jIfBSXIqKiiCRSNC/f3/07NlT6+LewsKC/UN9/vw55HI5BAIBvL294eLiwvmKt66ujvW+CgwMNMouqqqqil3ha/bSNDf6F3hdfZWbm4uBAwfC1dW11WMyBnK5nA1x01wY1NTUsMJaUVGht6TbVBB7+mfPnrFR2KZGX+OmbgFEZWUlJBIJevXqxRsnB3IUVlNT06Cw6IMUfJDIY1Pb0dTX12PevHnIzc1Fenp6i4LbTIGFhYVecSkvL0dycjJn4zI2vBQXuVyOsrIyODg46L24B4DCwkLcu3cPPj4+AMBOvGTF6+LiYvatNzHEJGWhpmgqJBORVCptsJdGE5J5kp+fz6vqK+Kn5uTk1Oi9ge4FOXG/dXFxQbdu3Yw6EWkaKwYFBXFi8FhXV6fVX9KpUyfY2dmhpKQEPj4+WhYgXEKEhZh1Gvpe07WjsbCwaJXppC4qlQqLFi1CdnY20tLSeLGwakhckpOTYWVlBXt7e4waNQrx8fFwcXHhbqCthJfiolaroVQqG6wII3knQ4YM0TqyqK2thVQqZVe89vb27MRr6nuYxuKITYW+iZe8XhsbG63J0pDjOVPx6tUrZGVloWfPnujdu3ezBcJUIWjAf5pbKyoqEBQUxAt7epVKxebdd+jQQcvt19nZmbMjYLVajRs3bkAul7dKWPQ9rzHtaFQqFZYtW4ZLly4hPT2ds+RUXfSJy759+2BjYwNPT088fvwYn3/+Oerr6yGRSHhbzt0UvBSX1NRU1NfX491330Xnzp3Zyaeurg63bt1CbW0tAgICGj0ikcvl7NFKeXk5u8IXCoVGnzhaEkdsKvSV/BK4yBdpCHLv06dPnxaZh+qiVqu1Ks9IpZ0hK15i9kgmS768mV+8eIGcnBz07dsXPXr00Jp4uWrc1BSW4OBgkx1D6wt+s7W11eofaux9plarERsbi7S0NJw9e7ZVf2vGRp+46FJUVARPT0/s3bsXU6dONd/gjAgvxWXz5s3YunUrqqqqEBUVBZFIBE9PT8TExGDNmjWYNGlSi/6odZMnbWxs2CbG1h59tCaO2FSQUlWVSgWVSgVLS0tOeml0Ia7Ufn5+Rj2eIJV2miteUvDRVCVWfX09srOzoVarm2X2aC7IgmXAgAFwc3N74/O6jZtk8WTKxk21Wo2cnBzWz8+cPyuFQqFlOtmYHY1arcbKlStx5MgRpKens0fnfKE54gIAvr6++PDDD9mkybYGL8UFeL2avHz5MhITE/Gvf/2LNZ786KOPMGHCBIPfQORMWyqVaqUTNrd7nGDsOGJjUVNTg8zMTNja2rIeQ2VlZZBKpW/00jg6OprtaCU/Px8PHz7EkCFDTFqpo68yqaECCJIP06lTJwwZMoQXlYbA6/vDW7duNbu3hhyPkgtygUBg9AtyIiwkpI1LEdZnR9O1a1fcunULkydPxpYtW3DgwAGkp6e/4SbMB5ojLi9evECPHj2wc+dOzJkzx3yDMyK8FRfCnj17sHDhQnz00Ufo0KEDDh48iOfPnyMiIgIikQiRkZEG3yXU19ezq93S0tJmRxybOo7YUMhdhru7O3x9ffUGCb169Yq9lyK9FmSFb4oCBM3qq8DAQNjZ2Rn9ezSGrpkocfq1s7NDbm4uunbtajbrlOZAnKmb0xulD80L8pKSEqM0bpJjQz4Iiy7kb/rq1av4+OOP8ezZM1hZWWHFihVYsGAB54anhKqqKjx48ADAa1/BLVu2IDw8HI6OjnB0dERcXBymTZsGNzc3PHnyBH//+99RUFCAu3fv8uautKXwWlzy8/MREhKC3377DRMmTADwnxXUgQMHcPDgQTx+/Bhjx47F5MmTERUVZfBKTTPiuKSkBJ06dWLvaDSf09xxxM2FHKM09y5DXy+Nsc/wiWvCy5cvOau+0oQ4/RYVFaGsrAyWlpbo0aMHhEIhpx5vhGfPniEvL89ouzvSqEr+pkkjY3OOCwkqlQo5OTmor6/n1bGhLgzD4Ouvv8aePXvw/vvv4/r167hw4QIGDx6Mixcvct5YffbsWYSHh7/x+Ny5c/Hjjz9CLBYjKysL5eXlcHNzQ3h4OL788kveiKMh8FpcgNeK35D3D3FfJUKTm5uL0aNHQywWszbahkwY5LKYTLzE/6tbt254+PAhZ07LDUE6yVtz76PramxIL40mmrnyxur3MQakEZGEnZESWC5C0DQpLCzE/fv3ERAQYJJy8YaOC8nxmb6CD01hCQoK4jxAqyEYhsF3332H7777DmfOnEFAQACA10dLly9fxqRJk7gdYDuF9+LSXMgdSGJiIpKSkpCTk4ORI0dCLBYjOjoaLi4uBgtNWVkZCgoKWH8oV1dXCIVCzv2SNEPHjNlJrtvU19ImRhLkBsCkppgthRwbenh4wNvbW8uXrqysjBVXtVrNTrrmKPklbgAkTdUckN9xSUmJXudqtVrNplryXVh++OEHbNy4ESdOnMDQoUO5HhLl37w14qIJaRwkQpORkYGwsDCIRCJMnjwZ7u7uLRIaEkfcv39/dOnShb2zUKlUWkaT5rwQ1jxyMmXoGKm0I1U6ur00uj9HuVyOrKwsdO7c2WT5Iobw8uVLZGdnN3lsSM7wNUt+iSeWsUt+yd9pQUGB2dwA9KFZxk4aNxmGgaWlJUJCQjjxAWsODMNg586dWLt2LY4dO4awsDCuh0TR4K0UF00YhkFhYSGSkpKQlJSEy5cvIyQkBCKRCCKRCB4eHg0KTWNxxGQSIqtdpVLJGk2aerVbX1+PGzduQKFQmPXISV8vDREaOzs7tlKNuPXy5dhQJpOxZb0tia/V7LUgx4WkMbeho6SWPPeDBw/w/PlzBAcH88b2XalUQiKRQKlUAoDWLs5UUdaGwDAMEhISsGrVKhw+fBjvvvsu10Oi6PDWi4smDMOwjqSJiYn4448/MGTIEFZoNLvF5XI57t27x5ZAN/bm13c53tw+i5aiUCi0yme5erMT+3yyq7GwsGB3cn5+frzZsZDemkGDBrXaSoM05moeJRFxbUnGPDnClUqlCA4O5rzQgaBSqZCVlQUAbFwy2cVpRlkb2jFvLBiGwf/+7//ik08+waFDh/RelJuKptyNSfTwzp07taKH/fz8zDZGvtCuxEUThmFQWlrKCk16ejoGDBgAkUiEkSNHYsWKFYiIiMDq1atb/Caqqqpij86qq6vZCp3WHqtUV1cjMzMTDg4OvCooKC0tRU5ODrp164ba2lrOeml0IZfkpuit0fQA07eLa2w3THKHgoODeVPGXl9fj6ysLFhYWCAwMFDv70xzF2euxk1dGIbB/v37sWzZMiQmJmL8+PFm+b6EptyNN27ciPj4eCQkJKBv375Yv349zp8/j7y8vDZbUmwo7VZcNGEYBmVlZUhJScFvv/2Gixcvonfv3pg0aRLef//9Vk3kNTU1rNBoVmG5uLi0SLRImmVL/bhMDQnTGjhwINzc3Bo8LjRlL40uJEvnyZMnZrkk19zFEfNFfb0larUad+7cQXl5OUJCQnhTQUeEpUOHDuyOpSnM0bipj6SkJCxatAj79+9HVFSUSb5Hc9FthmQYBu7u7oiNjWW76hUKBYRCITZu3IhFixZxOFrzQ8VFg0uXLmHy5MmYOXMmhg4diuTkZJw4cQLu7u4QiUQQi8UICAhoVYKgZkOfnZ0da0PT2EQjk8lw69Yt+Pr68qrunVjfNBSmpVn+auxdXENoRiUHBQWZfbWor7eEmE1KpVLWnp4v/mWGCIu+59DXuEkSKI21cz18+DD+8pe/YM+ePU1ap5gDXXF59OgRevfujczMTAQGBrJfJxKJYG9v/0YY2NsOFZd/wzAMwsLCMGfOHCxevJh9vKqqCkePHkViYiKOHj0KZ2dnTJ48GWKxGEOHDjVYaBQKBTvplpWVNVjuS452/P39eWO/TQodnj592iLrG91eGmO7VmseOfGhaZPcxUmlUhQWFkKlUsHR0RFCoZDTOwtCfX09MjMz0bFjR4OFRRfNhFHiAtHSxk19HD9+HLNnz0ZCQgKmT5/e6nEaA11xuXTpEkaMGIFnz55pFY4sXLgQ+fn5OHHiBEcj5QYqLhrU1dU1+sdfU1ODEydOIDExEUeOHIGNjQ2io6MhFosRFhZm8JuTdI4TvzPSc0BClfjkXUYmcJJ5YmiVk65rNbFlMdRMlCQiVlVVISgoiDdHTqQRsa6uDv3792f7aSoqKsyexqgJERZLS0uT+aoZ0ripj7S0NMyYMQM//fQTZs2axZsj4YbE5fnz51pmowsWLEBhYSGOHz/O0Ui5gYqLgcjlcpw+fRqJiYk4dOgQrKysMGnSJEyZMgUjRowweIVWV1cHmUyGhw8fQqFQQCAQsE2bLTHWNAUqlYqNtDXmBE7ElfRZNNVLo29cmqaKfOnLII7LDMMgMDBQ676J7FzJnQV5zd27dzd6CJoudXV1yMrKMqmw6KOpxk19r/n8+fOYPn06tm3bhrlz5/JGWAB6LNYUVFyMQF1dHdLT03HgwAGkpKRArVYjKioKU6ZMwahRo1o02dXX17Mr3cGDB6OiooK9KLaysmLvaMzthVVXV4ecnByo1WoEBASYbALXDQSzsrJqtAqLr24AZAJvzpET6R8ilWfE16579+5wcHAw6u+5rq4OmZmZnDtB63vNxBGhW7dusLa2xqVLlzB16lRs3rwZCxYs4JWwAA1f6H/88cdYuXIlgNcLJxcXF3qhT2k99fX1+OOPP3DgwAEkJyejpqaGzaQZM2ZMo6t90t2uLyZZt69EN6PFlG88hUKBzMxMWFtbm3VCItbq5PisQ4cO7Gt2cHBgj3bIz4svvTVKpdLgcWm+5pKSEgAwWlk3ERYrKysMGTKEN6XsarWafc3nzp3DP/7xD7zzzjvIysrCmjVrsHz5ct4IS2Puxh4eHti4cSO++uor7Nq1C76+vtiwYQPOnj1LS5EpxkWlUuHSpUtITEzEwYMHUV5ejgkTJkAkEiEiIkLrnL2srAy3bt1qVnc7eTOSjBYLCwutSdeYkwbpure3t+e0t0af/xfDMLCxseGVWy/pcO/SpUurrfxJCBp5za25HOersOiiUqnw66+/YseOHWxV5ZgxYyAWizFnzhzOiyAaczdOSEhgmyh/+uknrSZKkq3UnqDiYibUajWuX7/OOjgXFxdj3LhxEIvFsLS0xIoVK7Bv3z6EhIS0aJWmO+lqNjA6OTm1ahKpqKhAVlYWXF1d0bdvX16tHiUSCaysrKBSqbSSJ7t3786Za4FcLkdmZia6desGPz8/o07g+sq6m+tcXVdXB4lEwvq98VVYAODGjRuIiorCp59+is8++wz3799HSkoKzp07h5SUFN7sTilNQ8WFA4jj7IEDB7B7927IZDKEh4fjv/7rvzBx4kSDm9B0V7r19fUGG2u+fPkSOTk58Pb2hqenJ2+EpbKyEpmZmXB3d0efPn0AQG8vDXnd5rrcJ9HSxD3B1D+vmpoatgji1atXbL68brVdWxKWO3fuIDIyEkuXLsUXX3zBm785imFQceGQrVu34vPPP8fXX38NmUyGgwcPIi8vD+Hh4RCLxYiKijI4k4ZhGLYYQCqVtqhTnsTs9u/fHz169GjNSzQq5eXlyMrKgpeXF7y9vfV+ja5FibF7afRRU1MDiUQCZ2dn9O/f3+yToq5zNYnutre3x/37941yRGdq8vLyEBkZifnz52P9+vVUWN4CqLhwxN27dzFmzBikpKSwGRQMwyAvL4+NCrh586ZWJk337t0NFhpNv7Pa2lqtTnnNs3sSPGZozK6pePHiBXJyclrkUkD6hEijamt7afRBjujc3Nz0RkubG9ItX1xczBZBuLu7cxaC1hwePHiAyMhIzJw5E9988w0vx0hpOVRcOKSmpqbB5jmGYfDo0SNWaCQSCcLCwiAWizF58mS4ubkZPJFVV1ezQlNVVcXGG9fU1LBZ93xp2gT+s5Mi/mWGoNtLQ1b3JGHUkJ9lZWUlJBIJ7/zeSFGBQCBAjx492N4SYp/PRf5QQzx58gQTJkyAWCzG1q1bORWWuLg4rF27VusxoVCI4uJijkbUtqHi0gZgGAYFBQVsJs2VK1cwdOhQ1oamV69eBk9sxFizoKAASqUStra27EqX68ocAHj+/Dlyc3ONupPS7aUhfSVCobDZ910k1dLT07PBIzouIMLStWtX+Pv7s5O1rqGoQqHQqjzjovG0sLAQ48ePx4QJE7B9+3bOdyxxcXE4cOAATp8+zT5G4q8pLYeKSxuDYRg8f/4cBw8eRFJSEptJIxaLIRKJ4OPj0+Jqs1u3bqGyshJ+fn6oqKiAVCpljTXJ6r41wViGQowxTZUrD7zZV0IcjYVCYYPHSOTux8fHB56eniYZlyEoFApIJBLY2NhoCYsuJASNCE1VVZXRQtCaS1FREcaPH49Ro0Zh586dvNhFxcXFITk5mW3KpbQOzsQlPj4eR44cQXZ2NqysrFBeXv7G1+ibJH/88Uf89a9/NcMI+Q/DMJDJZEhOTkZSUhKbSSMWiyEWi5ssHyZuAPX19QgMDNRaveoaa5L7CqFQaHIfLHIkWFhYiMDAQNjZ2Zn0+xE0HY0birEmccl9+/ZFz549zTKu5kCExZAyaGLLQnzeDA1Bay5SqRSRkZEYOnQoEhISeCEswGtx2bRpE+zs7GBtbY3Q0FBs2LABPj4+XA+tTcKZuPzjH/+Avb09nj59il9++aVBcdm1axcmTJjAPmZnZ8fJKprvMAyDly9fIiUlBUlJSTh9+jR69+4NkUiEKVOmvNGYSbrIm5No2ZD3l1AoNPrkQ1Iai4uLOY3/1a22UygUsLW1xatXr9CvXz9eRR8QYbG1tYWfn1+rfh9KpZI9Mnzx4gU6d+7M7miMkdNSWlqKiRMnws/PD3v27OFNbDLwOgispqYGffv2hVQqxfr165Gbm4vbt28bPWyuPcD5sVhCQgJiY2MbFBfdpDdK8ygvL0dqaiqSkpJw4sQJ9OzZk82k6dy5M+bNm4cNGzZg1KhRLVrlEk8ocl/RuXNn1u+stYaLarUad+/eRVlZGYKCgniT0kjuvO7fvw9ra2soFAq2CMKcvTT6UCgUyMjIgJ2dXauFRRddyyGS06IbgtZcXr58iaioKPj4+GD//v28cVVoiOrqavTu3RsrV67E8uXLuR5Om4P34tKjRw/I5XJ4e3tj/vz5WLhwIecXf22NyspKNpPm8OHD6NChA0JCQvD5558jNDTU4J+nSqVCaWkppFJps0wmG0OtVuPmzZtGd1w2BiRtc9CgQWxVHTk6I9b5JKPFnLtquVwOiURiEmHRhThBkB2sSqVi+6acnJya3IGUl5cjOjoabm5uSEpK4o1zdVOMGzcOffr0wY8//sj1UNoc/NmT6uHLL7/EmDFjIBAIcObMGaxYsQKlpaVYs2YN10NrU3Tr1g0ffPAB3N3dcerUKUycOBEMw2DatGmwtbVlM2mGDRvWovPvjh07QigUQigUshfjUqmUdQPW9DtrbOJTqVTIzs5GfX09QkJCeDXxkGq1IUOGsGmbXbp0gZeXF7y8vLR6ae7duwcbGxt2J2fKsDIiLMTzzdRl0B06dICTkxOcnJzQr18/9sjw4cOHrCdeQwmjFRUVmDp1KpydnXHgwAFe/X4bQ6FQ4O7duxg5ciTXQ2mTGHXnoq9OXJfr168jJCSE/bixnYsu3377LdatW4dXr161dqjtjqdPn2LAgAHYsmULFixYAOD1BHXq1Ck2k8ba2hrR0dFsJo2h5+GaLrcymazRCixiTU9idvl0Bk9SQJtbraZ7XyEQCFrdS6MPuVyOjIwMs1nNNAWpPCspKWF3chUVFejRowd69uyJqVOnwsrKCkeOHOH1feknn3yC6OhoeHh4QCaTYf369Th37hxu3rzJq6rAtoJRxaW0tBSlpaWNfo2Xl5fWkUdLxOXixYv405/+hOLiYgiFwtYOt91x//59+Pr66v2cUqnUyqRhGIYNP3v33XcNXm3qVmBpNvLZ2NggOzsbAoEAgwYN4k3VEADk5+fj0aNHBjeUkk55cmRIemlaG5FAhIW4Z3MtLLqQndzGjRvx66+/sndS//rXvzBs2DDejVeTGTNm4Pz58ygtLUX37t0xbNgwfPnllxg4cCDXQ2uT8PrORZcffvgBn376KcrLy3nR4Pe2Ul9fj/Pnz7OZNHK5HFFRURCLxQgPDzf4PoQ08kmlUrYCq3PnzvD19UX37t15Iy6PHz9Gfn6+0cqgG+qlaenFODHH5KuwaCKXyzFz5kyUlJSgV69eOH36NIRCIZYsWYIVK1ZwPTyKGeBMXAoKCvDy5UscOnQImzZtwh9//AEA6NOnD2xsbJCamori4mKEhYVBIBAgPT0dK1asQExMDL7//nsuhtwuUalUuHjxIptJ8+rVK0RGRkIkEmHcuHEGVXRVV1ezxzoCgQAymQxyuZxz23yGYfDw4UM8ffoUwcHBJgl3ak4vjT6IsDg5OXFijtkSFAoF/vznP6O0tBQnT56Evb09amtrcfr0adTV1WHq1KlcD5FiBjgTl5iYGL2Z0unp6Rg9ejSOHz+OVatW4cGDB1Cr1fDx8cGHH36IJUuWtHjiaU7DZkFBAZYsWYK0tDQIBALMmjULmzdvbjOXj+ZArVbj2rVrbCaNVCpFREQExGIxJkyY0KyelIqKCmRmZmr5cZGOceJ3VlNTA0dHR7YCyxwlq6S/RiqVIjg42KSX8Zrfk1yM6wqsZhhYbW0tMjIyOHNdbglKpRJz5sxBYWEhzpw5YzJnBQr/4fxYzBw01bCpUqkQEBCA7t2749tvv8WLFy8wd+5cTJ06Fdu2beNm0DxHrVYjKysLBw4cQFJSEgoLC9nEwIkTJ8LW1vaNSbCsrAzZ2dnw9vaGl5dXg89NLoilUqmWsaapekoYhkFubi5KS0sRHBzMSX+NPksWR0dHODg4oLCwEC4uLujXrx+vhaW+vh7z5s1DXl4e0tLSqCdXO6ddiAuhofudY8eOYdKkSSgsLIS7uzsAYO/evYiJiYFMJoOtrS0Ho207MAyDW7du4ffff8fBgwdx7949vPfeexCJRJg0aRIcHBxw4MABFBcXY8qUKS2yTamtrWWFxhT5LAzD4M6dOygrK0NwcDBvqpmIQ3V+fj4YhtF63XwZoyb19fVYtGgRcnJykJ6ezouCm+3bt2PTpk0oKiqCn58ftm7dSsuKzQjtRgRw+fJl+Pv7s8ICAOPHj2dtNSiNY2FhgUGDBmHdunW4ceMGsrOzMXz4cOzcuRM+Pj4YN24cFi1axDbFtgSBQABPT0+88847+NOf/gQXFxfIZDJcuHAB165dw5MnT1BbW2vQuIlp56tXrxASEsK7SbuoqAi9evXCyJEj4erqitLSUly8eBFXrlzBo0ePUFVVxfUQAbze+S9btgwSiYS9uOeaffv2ITY2FqtXr0ZWVhZGjhyJyMhIFBQUcD20dgPduQBYuHAhnjx5gpMnT2o9bm1tjYSEBMycOdOMo3x7YBgGX331FdauXYshQ4YgKysLw4cPh0gkanUmDUlflMlkePnyZYubF4kjQE1NDYKDg3l1t1ZTU4OMjAwIhcI3zEfr6uq0fN4EAgFbEKDvKNLUqNVqxMbGIj09Henp6fDw8DDr92+I0NBQBAUFaXXWE1PXr776isORtR/a7M4lLi4OFhYWjf7LyMho9vPpe1MyDMPrM26+8/3332Pjxo04deoUrl69igcPHkAkEiEpKQkDBgxAREQEtm3bhoKCArR0jWNlZYWePXsiKCgIo0aNgoeHB8rLy3HlyhVcunQJDx8+RGVlpd7nValUyMnJgVwu550jAKmkc3V11etq3alTJ7i7uyMgIACjRo1C7969IZfLkZmZiQsXLiAvLw9lZWUt/nkaglqtxsqVK3Hq1CmcPn2aN8JCMm0iIiK0Ho+IiMClS5c4GlX7gz/t0C1k6dKlmDFjRqNf09ilsSaurq64evWq1mNlZWWoq6vjxRa/reLr64u0tDQEBwcDADw9PbF8+XJ8/PHHeP78ORt+tmbNGgQEBLCZNN7e3i0SdTLhuru7s0FgUqkUT548YV19ycperVYjOzsbKpUKQUFBvDJPJMLi7u6OPn36NPkzsLS0ZO13NF0RcnJyAIB93YaYTDaFWq3G6tWrcejQIaSnp/MqMK20tBQqleqN9y5NlTQvbVZcnJ2dWa+n1hIWFob4+HgUFRWxMbonT56EtbU1OzFSWk5UVJTex8ndy7Jly7B06VJIpVI2k2bt2rUYOHAgKzRNZdLoYmlpCVdXV7i6urKuvlKpFBKJBJ06dQLDMLCyskJwcHCbFhZdOnTowL4n+vfvz/bS3LlzR8tk0tnZudXNqgzDYN26ddi/fz/S09MbdH3gGt2fIT2JMC/t4s6lqYZNUoosFAqxadMmvHz5EjExMRCLxbQU2YyQTBoiNKdPn4avry8bFaCbSdMSFAoFrl+/DrVaDZVKpWWsaW9vz6nTdlVVFSQSCXr06MH2/hgLfb00JN7YkB4ico+2c+dOpKWlwd/f32hjNRZKpRJdunTB77//jilTprCP/+1vf0N2djbOnTvH4ejaD+1CXJpq2AReC9DixYvfaKI0hs2Ml5cX8vPztR777LPP8PXXX7f6ud9WiFXMoUOHkJSUhJMnT6JXr16s0AwePLjZgkDO4AUCAQYPHgzg9bEnmXAZhjHpEVJjmFJYdGmol4YUBDT1t84wDLZs2YKtW7ciLS0NQ4YMMdlYW0toaCiCg4Oxfft29rGBAwdCJBLRC30z0S7EhWu8vLwwf/581o0YAGxsbDhLWWyLVFZW4siRI0hMTMSxY8fg4uKCyZMnY8qUKQgODm5QEJrKlWcYBuXl5aw7QHPtWIwBEZaePXvCx8fH7Ec2pIdIJpPh1atXsLOza7CXhmEYbNu2Dd988w1Onjyp5WzOR/bt24fZs2djx44dCAsLw86dO/Hzzz/j9u3b1OHYTFBxMQNeXl6IjY1FbGws10N5K6iursbx48eRmJiII0eOwM7ODpMnT4ZYLEZoaCgrCAUFBXjy5AmcnJyaZU1PjpCI0CiVSjg7O0MoFBrlrkKTqqoqZGRkoFevXujdu7fRntdQFAoFW+JMSru7du0KpVKJgIAA/Pzzz1i3bh2OHz+OYcOGcT3cZrF9+3Z88803KCoqgr+/P7777ju8++67XA+r3UDFxQx4eXlBoVBAqVSiV69emD59Oj799FNelcC2VWpra3Hq1CkkJSXh0KFD6Ny5M6KjoxEaGopVq1bh//2//4fY2NgW7woYhkFlZSW7sq+trdXr+2UIlZWVkEgkvBEWXUgvzYkTJ7B8+XI4OTmhvLwcW7duxYIFC+ilOKVZUHExA9999x2CgoLg4OCAa9euYdWqVRCJRPjnP//J9dDeKpRKJdLS0vDLL78gJSUF/fr1Q0hISKszaYDXOw1iQ1NdXa11Kd6S5yXC4uHhAR8fH4PHYw4YhsEvv/yC//7v/4aHhweuXbsGOzs7iMVibNiwgR7rUhqFiouBGJK6SUhMTMT777+P0tJSODk5mWqI7ZKbN29i7NixmDdvHsaMGYPExEQkJydDoVBg0qRJEIlEeO+991pVqFFTU8MKTWVlJRwcHNi7isaelwiLp6cnr/pC9MEwDPbv349ly5YhKSkJERERrHifOnUKmzZt4rTCjsJ/qLgYiCGpm4Rnz56hZ8+euHLlCkJDQ001xHYJORJbs2YN+xjJpCFRAZWVlWwmzdixY1vlgqzvUpzY0Gj+7knUQFsQFgBISkrCX//6V+zbt6/BfiUKpTGouHDA4cOHER0djfz8fN5YZrwtKJXKRo+p1Go1rl69ygpNSUkJm0kzfvz4Vh31KBQKVmjKysrQrVs3CIVCdOnSBbdv324yaoAvpKamYt68edizZw/EYjHXw6G0Uai4mJjLly/jypUrCA8Ph52dHa5fv46PP/4YISEhSElJ4Xp47Rq1Wo3MzEw2k+bp06cYO3YsxGIxIiMjW2UEqVQqUVJSgmfPnuHVq1ewtrZGz5494eLiwuu7imPHjmHu3LnYtWsXpk+fzvVw3oD2jLUdqLiYmMzMTCxevBi5ublQKBTw9PTEjBkzsHLlSqOGUtHsitZB7PdJJs2DBw/YTJqoqCg4ODi0WGhevXrFHoUJBAJIpVLWydjFxQVCoRA2Nja8qb46c+YMZs6ciZ07d2LWrFlcD0cvtGes7UDF5S2ANIxt374dI0aMwE8//YR//vOfuHPnDj12MwCGYXD37l326Oz27dsYNWoURCIRoqOj4ezs3KQgEGHx8fHRatojxpoymQylpaWwsrJi72i4sMwnnD9/HtOnT8e2bdswd+5c3gieLrRnrO1AxeUtgGZXmA6GYfDgwQMkJiYiKSkJWVlZGDFiBJtJ4+rq+sZEXF5ejqysLPTu3btRcSfGmjKZDCUlJbC0tNTyOzPXBH/x4kVMmzYNmzdv5n0fC+0ZaztQcWnjUJM+88EwDPLz81mhuXr1KkJDQyESiSASidCzZ0+cOXMGFy5cwPz589GrV69mPzexzJdKpSgpKYGFhQUrNA4ODiYr+7127RpEIhHi4+OxZMkSXgsLQHvG2hJUXNo4z58/R48ePXDx4kUMHz6cfXzDhg3YvXs38vLyOBzd2wvDMHj27BmbSXPx4kX4+/vj3r17+Oijj7B27VqDJ2q1Wq3ld8YwjJbfmbGEJjMzE9HR0fjiiy8McjEwFrRn7O2Eiksbh4jLpUuXEBYWxj4eHx+P3377Dbm5uRyOrn3AMAwOHTqEGTNmYODAgbh58yb8/PzYTBpfX1+DJ27iDk2Epr6+nvU7a42x5o0bNzBx4kR89tlnWLlyJac7Ftoz9nbSZsPCKK8hhoq6CXsymYymaJqJCxcuYPbs2fj++++xYMECvHjxAikpKUhMTMSGDRvQt29frUyalkzkFhYWsLe3h729Pfr27ctms9y7d4811iR+Z5aWzXs737lzB5MmTUJsbCznwgK0LvgvKysLANiQPwp/oDuXtwCaXcEtOTk5yMrKQkxMjNbjxM4/NTUViYmJOHnyJDw9PdmogEGDBhl8xMUwjJbfWW1tbbNCwPLy8hAZGYn58+dj/fr1nAtLS6A9Y20LKi5vATS7om1QUVHBZtIcP34cQqGQFZqgoKBW3aVUV1ezR2ckBIwUBJBKqgcPHiAyMhKzZs3Cxo0b25w3mLl6xijGgYrLWwLNrmhbVFdX49ixY0hMTMTRo0dhb2/PZtK88847rcqOIcaaMpkMf/zxBw4ePIjw8HD8/vvvEIvF2Lp1a5sTFkrbg4oLpUXoq+wRCoVv3PlQmk9tbS1OnjyJpKQkpKamQiAQIDo6GmKxGMOHD2/2XYo+CgoK8NNPPyE5ORn5+fkICwvDtGnTMG3aNLqrpZgUunyhtBg/Pz8UFRWx/27evMn1kNo0AoEAIpEIu3fvRnFxMX7++WfU19dj9uzZ6NOnD5YtW4YzZ86grq6uxc/dqVMnpKam4r333sPTp08xZ84cHDt2DAMHDkRlZaUJXg2F8hq6c6G0iLi4OCQnJyM7O5vrobz11NXV4dy5czhw4ACSk5NRV1fHZtKEh4c3mUlTXFyMyMhIhIaGYteuXVpHbVVVVdSPi2JS6M6F0mLu378Pd3d3eHt7Y8aMGXj06BHXQ3or6dSpE8aOHYsdO3awDZu2trb429/+Bm9vb8yfPx+pqamora194/8tKSlBdHQ0AgMD8T//8z9v3OFQYaGYGrpzobSIY8eOoaamBn379oVUKsX69euRm5uL27dv0w5pM6FWq3HlyhV2R1NSUoLx48dDLBYjIiICCoUCUVFR6NOnD/bt29dgWTKFYkqouFBaRXV1NXr37o2VK1di+fLlXA+n3aFWqyGRSFgH58LCQnTu3BnvvPMOUlNTeWPoGB8fjyNHjiA7OxtWVlYoLy9/42sKCgqwZMkSpKWlQSAQYNasWdi8eTNvXgOlZdBjMUqr6Nq1KwYNGoT79+9zPZR2SYcOHTB06FBs3LgRubm5OH/+PEJDQ5GUlMSrSVmpVGL69On46KOP9H5epVIhKioK1dXVuHDhAvbu3YvExESsWLHCzCOlGAu6c6G0CoVCgd69e2PhwoX44osvuB4OheckJCQgNjb2jZ3LsWPHMGnSJBQWFsLd3R0AsHfvXsTExEAmk8HW1paD0VJaA925UFrEJ598gnPnzuHx48e4evUq3n//fVRUVGDu3LlcD43Shrl8+TL8/f1ZYQGA8ePHQ6FQQCKRcDgyiqFQ40pKi3j69ClmzpyJ0tJSdO/eHcOGDcOVK1doQx6lVRQXF79htOrg4AArKyvaoNtGoTsXSovYu3cvnj9/DqVSiWfPniExMREDBw406vc4f/48oqOj4e7uDgsLCyQnJ2t9nmEYxMXFwd3dHQKBAKNHj8bt27eNOgZK08TFxcHCwqLRfxkZGc1+Pn0mmgzDtClzTcp/oDsXCu+orq7GkCFD8Je//AXTpk174/PffPMNtmzZgoSEBPTt2xfr16/HuHHjkJeXh27dunEw4vbJ0qVLMWPGjEa/xsvLq1nP5erqiqtXr2o9VlZWhrq6Ohod0Uah4kLhHZGRkYiMjNT7OYZhsHXrVqxevRpTp04FAOzevRtCoRD/93//h0WLFplzqO2a1uSw6BIWFob4+HgUFRWx2SwnT56EtbU1goODjfI9KOaFHotR2hSPHz9GcXExIiIi2Mesra0xatQoXLp0icORURqjoKAA2dnZKCgogEqlQnZ2NrKzs1FVVQUAiIiIwMCBAzF79mxkZWXhzJkz+OSTT7BgwQJaKdZGoTsXSpuCXO7qHpUIhULk5+dzMSRKM/jiiy+we/du9uPAwEAAQHp6OkaPHo2OHTviyJEjWLx4MUaMGKHVRElpm1BxobRJdC956cUvv0lISEBCQkKjX+Ph4YHDhw+bZ0AUk0OPxShtCldXVwB4ozxVJpPRi18KhUdQcaG0Kby9veHq6opTp06xjymVSpw7dw7Dhw/ncGQUCkUTeixG4R1VVVV48OAB+/Hjx4+RnZ0NR0dHeHh4IDY2Fhs2bICvry98fX2xYcMGdOnSBbNmzeJw1BQKRRO6c6HwjoyMDAQGBrKXvsuXL0dgYCDrXbZy5UrExsZi8eLFCAkJwbNnz3Dy5MlW97g01bwZExPzRpPgsGHDWvU9KZS3FSouFN4xevRoMAzzxj9yIWxhYYG4uDgUFRVBLpfj3Llz8Pf3b/X3Jc2bP/zwQ4NfM2HCBK2I56NHj7b6+7YV4uPjMXz4cHTp0gX29vZ6v0Zfl/6OHTvMO1AKL6DHYhTKv2mseZNgbW3NFhW0N4htflhYGH755ZcGv27Xrl2YMGEC+7GdnZ05hkfhGVRcKJQWcPbsWbi4uMDe3h6jRo1CfHw8XFxcuB6WWVi7di0ANFlSbG9v324FmPIf6LEYhdJMIiMjsWfPHqSlpeHbb7/F9evX8d5770GhUHA9NF6xdOlSODs7Y+jQodixYwfUajXXQ6JwAN25UCjN5IMPPmD/29/fHyEhIfD09MSRI0dYn7P2zpdffokxY8ZAIBDgzJkzWLFiBUpLS7FmzRquh0YxM3TnQqEYiJubGzw9Pdt0xLOxbfPXrFmDsLAwBAQEYMWKFVi3bh02bdpkwldA4St050KhGMiLFy9QWFjIuvi2RYxpm6+PYcOGoaKiAlKplDootDOouFAo/6ax5k1HR0fExcVh2rRpcHNzw5MnT/D3v/8dzs7OmDJlCoejbh3GtM3XR1ZWFjp37txg6TLl7YWKC4XybzIyMhAeHs5+vHz5cgDA3Llz8eOPP+LmzZv49ddfUV5eDjc3N4SHh2Pfvn3tJqCsoKAAL1++1LLNB4A+ffrAxsYGqampKC4uRlhYGAQCAdLT07F69WosXLgQ1tbW3A6eYnYsGIZhuB4EhULhPzExMVq2+QRim3/8+HGsWrUKDx48gFqtho+PDz788EMsWbIElpZ0HdveoOJCoVAoFKNDq8UoFAqFYnSouFAoFArF6FBxoVAoFIrRoeJCoVAoFKNDxYVCoVAoRoeKC4VCoVCMDhUXCoVCoRgdKi4UCoVCMTpUXCgUCoVidKi4UCgUCsXoUHGhUCgUitGh4kKhUCgUo/P/AahkVioP9AixAAAAAElFTkSuQmCC\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -712,18 +723,78 @@ "scipy.io.savemat(\"Lorenz63_fit.mat\", {\"x\": results_test_np})" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"sigma\": 10., \"rho\": 28., \"beta\": 2.7},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"sigma\": 22.4191, \"rho\": 18.8036, \"beta\": 3.4880},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(198.8555, grad_fn=)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] } ], "metadata": { + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + }, "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -736,9 +807,6 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" } }, "nbformat": 4, diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb index 1b8cb3d4..3bb42494 100644 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb +++ b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -27,7 +27,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -51,11 +51,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -81,7 +81,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", @@ -93,8 +92,9 @@ " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" ] }, + "execution_count": 5, "metadata": {}, - "execution_count": 5 + "output_type": "execute_result" } ], "source": [ @@ -107,29 +107,34 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stderr", + "output_type": "stream", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", + " ax = fig.gca(projection='3d')\n" ] }, { - "output_type": "display_data", "data": { - "text/plain": "
    ", + "image/png": 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0hkvPnTsXi8XCrFmzHMcMw+DBBx8kJiYGPz8/xo4dy7Zt2063ThGRNm9NWhGXPb+aq176kY1Zpfh6ezBzdDLL/zSeP57dTcFDWky76XZZu3Ytzz//PH369Dni+GOPPca8efN45ZVXSE1N5eGHH2bixIns2rWLoKCg0y5YRKSt2ZBVwrxFu/lhbyEAPl4e/H5oPDeP7UKnIF+TqxN30C7CR2VlJb///e954YUXePjhhx3HDcNg/vz53H///Vx00UUAvPrqq0RGRvLmm28yc+ZM51QtItIGbMkpY97iXXy/6yAA3p4WLhscx63juhId4hrN39L+1TbYyCtrWqDOVcZ8nFK3y6233sqUKVOYMGHCEcfT09PJz89n0qRJjmNWq5UxY8awcuXKXz1XXV0d5eXlRzxERNqynfnl3PjaOqYu+IHvdx3E08PCpYNi+e7usTx8QW8FD2lVq9OKsNkNokN86RRkNbsc4BRaPt5++202bNjA2rVrj3kuPz8fgMjIyCOOR0ZGkpmZ+avnmzt3Lg899FBzyxARcTl7CyqZ/81uPt+Sh2GAxQIX9OvMnWelkBgRYHZ54qaW7W7q7huT2tFldjtuVvjIzs7mzjvvZNGiRfj6Hr+f8ui/nGEYx/0L33fffcyePdvxdXl5OXFxcc0pS0TEVBmFVTz57R4+3pSL3Wg6NqVPNHdNSKFrJ411E3Mt3V0AwOjUjiZX8rNmhY/169dTUFDAwIEDHcdsNhvLli1jwYIF7Nq1C2hqAYmOjna8pqCg4JjWkMOsVitWq2s0A4mINEdOSTX/+XYv72/IwXYodUzqEcldE1M5IzrY5OpEmq7RfQer8PSwMLJrhNnlODQrfJx11lls2bLliGPXXnst3bt3509/+hPJyclERUWxePFi+vfvD0B9fT1Lly7l0UcfdV7VIiImyi+rZcH3e3hnbTYNtqbQMa5bR2ZP7Ebv2BCTqxP52eEul/5xoYT4uc5U7maFj6CgIHr16nXEsYCAAMLDwx3HZ82axZw5c0hJSSElJYU5c+bg7+/P9OnTnVe1iIgJCipqeWbJPt5Yk0V9ox2AM7tGcNfEVAYmdDC5OpFjuWKXC7TACqf33HMPNTU13HLLLZSUlDB06FAWLVqkNT5EpM0qrqrnuaX7eHVVBrUNTaFjSGIYsyelMiw53OTqRH5dg83Oir1FQNNgU1diMQzDMLuIXyovLyckJISysjKCg9VnKiLmKatu4IXlaSxckU5VvQ2AfnGh3D0plTO7RrjMzAGRX/NjejGXPreKsAAf1t0/AQ+Plr1em3P/1t4uIiJHqahtYOGKDF5YnkZFbSMAPWOCuXtSKuO6dVLokDbhcJfLqJSIFg8ezaXwISJySHV9I6+uzOS5ZfsorW4AoFtkEHdNTOXsnpEKHdKmLN3dtLLu6BTX6nIBhQ8REWobbLy+OpNnl+6jsLIegOSOAcyakMp5vaNd7rdGkRMprKxja27TiuGjUl1niu1hCh8i4rbqGm28szabp77fy4HyOqBp4607z0rh/H4xeHme1sbfIqZZvqep1aNnTLBLbl6o8CEibqfBZuf99Tks+G4vuaU1AHQO9eP28V2ZNjAWb4UOaeOWHtrM0NWm2B6m8CEibqPRZueTTft54ts9ji3GI4Ot3DauK5cOjsPq5WlyhSKnz243WLbn5/1cXJHCh4i0e402O5/+tJ//fLeX9MIqACICfbh5bFd+PzQeX2+FDmk/tu0vp7iqnkCrFwPiXXPxO4UPEWm3Drd0LPj+59DRwd+bmWO6cPXwBPx99CNQ2p/DU2xHdAnHx8s1uxD1nSci7U6jzc7Hm/az4Ls9ZBQ1da908PfmxtFduGp4AoFW/eiT9ssxxdZFu1xA4UNE2pHDoeM/3+0h81DoCAvw4YZRyVw9PIEAhQ5p58prG9iQVQq47ngPUPgQkXag0Wbno425LPh+7xGh48bRyVw1TKFD3MfKvYXY7AbJHQOIC/M3u5zj0nekiLRZDYdDx3d7HbNXwgJ8mDk6mSsVOsQNufKqpr+k70wRaXMabHY+2pDLf77fQ3Zx0zod4QE+zBzTFDo0kFTckWEYLNt9aIptN4UPERGnaLDZ+XBDDgu+3+sIHRGBPswc3YXfD4tX6BC3tu9gJbmlNfh4eTAsKdzscn6TvlNFxOU12Ox8sL4pdOSU/Bw6bhrThd8PTcDPR+t0iCw5tKrp0KQwl/+eUPgQEZdV32jngw05PHVE6LBy05hkhQ6Roxwe7+HKs1wOU/gQEZdT12jj/fU5PP39PsfeKwodIsdX22Djx/RiQOFDRKRZauptvL02i+eWppFfXgtAxyArN43pwvQh8QodIsfx/c4C6hrtxIT40rVToNnlnJDCh4iYrrKukTdWZ/LC8jQKK+uBpg3fZo7uwnTtvSJyQu+sywbggv6dsVgsJldzYgofImKaspoGXluZwUsr0imtbgAgtoMfN4/twsUDY7XLrMhJ2F9a4xjvcemgOJOrOTkKHyLS6oqr6lm4Ip1XVmRQUdcIQFJEALeM7cIF/Tvj7emam2GJuKL31+dgGDAsOYzEiACzyzkpCh8i0moKKmp5cXk6r6/OpLreBkBqZCC3juvKeX1i8PRw/eZiEVditxu8s7apy+XywfEmV3PyFD5EpMXtL63h+WVpvPVjFnWNdgB6xgRz+/gUJvWIxEOhQ+SUrNhXSG5pDcG+XpzTK8rsck6awoeItJisomqeWbqP99dn02AzAOgfH8od41MY261jmxgYJ+LKDrd6XNC/c5samK3wISJOt+9gJU9/v4+PN+ViszeFjmHJYdw+PoURXcIVOkScoLiqnkXbDgBw2eC2MdD0MIUPEXGanfnlLPhuL59vycNoyhyMTu3I7eO7MjgxzNziRNqZjzbmUm+z06tzMD1jQswup1kUPkTktK3PLOGZJXv5ZkeB49iEMyK5bXxX+sWFmleYSDtlGAbvHupyuawNDTQ9TOFDRE6JYRgs31PI00v2sjqtaVlniwXO7RXNreO60iMm2OQKRdqvTdml7DpQga+3B7/rG2N2Oc2m8CEizWKzG3y9LZ9nluxjS24ZAN6eFi7s35mZY7rQpaPrL+0s0tYdHmh6bq9oQvy8Ta6m+RQ+ROSk1Dfa+XhTLs8u3UfawSoA/Lw9uWJIPNePSiIm1M/kCkXcQ1VdI//7aT/Q9gaaHqbwISK/qbq+kbd/zOaF5WnklTVt9hbs68U1IxK5ZmQSYQE+Jlco4l4+35xHVb2NpIgAhiS1zYHcCh8i8qvKqht4dVUGC1ekU3Jo35VOQVauH5XE9KEJBFr140PEDG+vzQKa9nFpq9PW9dNDRI5QUF7Liz+k88bqTKoOLYGeEO7PzNFduGhA21rISKS92XOggg1ZpXh6WJg2sLPZ5ZwyhQ8RASCzqIrnlqXx/roc6m1NS6B3jwrilnFdObdXFF7a7E3EdIcHmo7v3olOQb4mV3PqFD5E3Ny2/WU8tzSNzzbv59BipAxK6MAt47owrlunNtusK9Le1Dfa+XBjLgCXt9GBpocpfIi4IcMwWLmviGeX7mP5nkLH8bHdOnLL2K5tdhCbSHv2zY4DFFfVExlsZUxqR7PLOS0KHyJupNFm58ut+Ty3bB9bc8sB8PSwMKV3NDPHJLe5JZpF3Mnbh7pcLh4Y2+a7QRU+RNxATb2N99Y3TZfNLq4BwNfbg8sHx3PdmUnEhfmbXKGI/JackmqW7zkINM1yaesUPkTasZKqel5blcmrqzIorqoHICzAhxnDE7lqeILW6BBpI95fn4NhwIgu4SSEB5hdzmlT+BBph7KLq3nph3TeWZtNTUPTdNm4MD9uGJXMJQPj8PPRdFmRtsJmN3hvXQ7Qdlc0PZrCh0g7sjW3jOeXpfH5ljxsh6au9IwJ5qYxXZis6bIibdIPewvJLa0hxM+bs3tGmV2OUyh8iLRxx5u5MiolgpmjuzCya7imy4q0Ye8eGmh6Qb+YdrPIn8KHSBtV32jns837eXF5OtvzmmaueFjgvD4x3Dg6mV6dNXNFpK0rqqxj0fZ8AC4bHG9yNc6j8CHSxpRVN/DGj5m8ujKDA+V1QNPMlcsGxXH9qGTNXBFpRz7amEuDzaBPbAg9YoLNLsdpFD5E2ojMoioWrsjg3XXZVB/ac6VjkJVrRiQyfUg8HTRzRaRdMQzDsZx6e5he+0sKHyIuzDAM1meW8OLydL7eno9xaPnz7lFBXD8qmal9o7F6tY8+YBE50rI9hewpqMTP25Pf9YsxuxynUvgQcUGNNjtfbzvAC8vT2JRd6jg+JrUjN4xK1iBSETfw1Hd7AbhiSDzBvt4mV+NcCh8iLqSyrpF31mazcEU6OSVNK5H6eHpwYf/OXDcqidTIIJMrFJHW8GN6MT9mFOPj6cGNo5PNLsfpFD5EXMD+0hpeWZnBW2uyqKhrBKCDvzdXDUvgquGJdAyymlyhiLSmBd83tXpMGxhLVIivydU4n8LHIbUNNnbklZNfVkteWS1VdY34W70I8PEkyNebpIgAkjsGtJs51uIatuSU8eIPaXy+OY/GQ4uCJXcM4Lozk5g2IFbXm4gb2pxTyrLdB/H0sHDzmC5ml9Mi3Dp8GIbB4u0H+OSn/Xy/s8Axg+B4PCyQEB5Az5hgRnSJYGTXcOLD/NX3Ls1itxt8u7OAF5ensSa92HF8eHI4149KYly3Tnh46JoScVdPHWr1+F3fGOLD2+fUebcNH9nF1fz5oy1HrAgZEehDfJg/4YFWymoa2FdQSUVdI/WNdgDsBqQXVpFeWMVnm/MA6Bzqx/junZjaN4ZBCR1005Djqqm38cGGHF7+IZ20wioAvDwsnNcnmutHaVEwEYHdByr4etsBAG4Z2z5bPcBNw8fW3DIuf341lXWNWL08uHp4AoMSw8gorOJ/m/fz7Y4DHGoBP6Hc0hr+uzqT/67OJCrYl3N7R3PRgM66kYhDQUUt/12VyeurMympbgAgyNeL6UPjuWZEItEhfiZXKCKu4ulDrR7n9IwipR0PMHe78HGgvJbrX11HZV0j/eND+dclffl2xwFuf3Mj9Ta743V+3p6E+nuTV1Z70ufOL6/l5RXpvLwinb5xoVw5NJ7z+sRoB1E3tSu/gheXp/HJpv2OaysuzI8/jEzi0kFxBFjd7ttPRH5DZlEVn/60H4Bbx3U1uZqW5XY//R78dBv55bV06RjAi1cPYtY7mxxdL/3iQhnRJZzskhq25paRfqhp/FT8lF3KT9ml/OOz7Vw2OI7rzkxulyOW5Uh2u8GyPQd56Yf0I7r0BsSHcsOoZCb1jMJTXXMi8iueXboPu9G0nk/v2Pbdeu5W4SOnpJqvtzVt0LNg+gDmLd7N8j2F+Pt4cv+UM0g/WMVzy9IcW5E7Q3ltIy8sT+eVlRlMGxDLzDFdSIoIcNr5xTVU1zfywYZcFq5IJ+1gU2j1sMA5vaK47sxkBiZ0MLlCEXFleWU1vL8+B4DbxrfvVg9ws/Dx9o/Z2A04s2sEByvqeGNNFhYL/OuSvrz1Y5bjN9VBCR2wGwZZxTUUVtY55b0bbAZvr83mnXXZnNs7mrsmpNC1U/vtz3MXOSXVvLYqk7d/zKK8tml9jkCrF5cOiuPakYna5E1ETsrzy9JosBkMSQpjcGKY2eW0OLcKHz/llAIwpU80r63KAODqYQmszShm+Z5C/Lw9+cOZiXy5Jd8xG8HZDAM+35zHl1vyuHhgLHdOSKVzqAYctiWGYbAus4SXf0jn6235jsHJieH+XDMikYsHxRGo8RwicpIKK+t468csAG5r52M9DvNozoufeeYZ+vTpQ3BwMMHBwQwfPpwvv/zS8bxhGDz44IPExMTg5+fH2LFj2bZtm9OLPlWHm8ND/bz5bmcBAP3jO/DKygwA7p6UyhtrskgrrCLEz5vYDi0XCuwGvLsuh3GPL+Efn22npKq+xd5LnKOu0cYH63OYuuAHLnl2FV9uzXe0pL00YxDf3T2Wa0YmKXiISLO8/EM6tQ12+sSGMColwuxyWkWzfkrGxsbyz3/+k65dm5LZq6++yvnnn8/GjRvp2bMnjz32GPPmzeOVV14hNTWVhx9+mIkTJ7Jr1y6CgsztYrDZDXJLm/bKqK63YTegS8cA1mYUYxgwpXc0b/2YRWl1AymdArF6e7A1t7zF66q32Xnph3Q+2JDD3RNTuWJIPF6ezcqE0sKauugyeX11lqMbzurlwUUDOnPNiCS6Ran7TEROTVlNA/9dlQk0zXBxl0UrmxU+pk6desTXjzzyCM888wyrV6+mR48ezJ8/n/vvv5+LLroIaAonkZGRvPnmm8ycOdN5VZ8CD0vT4/BCYQCJ4QEs2t60mIuvtyf7DlYR6u9NkK8XG7JK8fSwOHXw6W8prW7gr59s4401WTwwtSfDu4S3yvvK8W3NLePlFel89lOeY6psVLAvVw1P4Ioh8YQF+JhcoYi0da+tzKCirpHUyEAmnhFpdjmt5pTbh202G++99x5VVVUMHz6c9PR08vPzmTRpkuM1VquVMWPGsHLlyuOGj7q6Ourqfh7UWV7eMq0NFosFfx8vKusayS6pBsDL08LBijosFhzH4jr4O4JHgI+nYxBha9mZX8EVL6xmat8YHpjag4hAbSjWmhptdhZvP8DCFRn8mPHz0uf940O5dmQSk3tF4a2WKRFxgqq6Rl5ekQ40tXq40wrZzQ4fW7ZsYfjw4dTW1hIYGMhHH31Ejx49WLlyJQCRkUcmt8jISDIzM497vrlz5/LQQw81t4xTEmhtCh91DU2/xR7uhgnx82ZHXlPoyS9vWlTM08PS6sHjl/73036W7T7I/VPO4JKBsW7TFGeWspoG3lmbxasrMx3XhZeHhSl9orl2ZBL94kLNLVBE2p23fsyipLqBhHB/pvSONrucVtXs8NGtWzc2bdpEaWkpH3zwATNmzGDp0qWO54++SRqG8Zs3zvvuu4/Zs2c7vi4vLycuLq65ZZ2Urp0CyS+vdbRy5B9avbS63ubYv6XoUJ/+4a/NVFbTwD3vb+bjjbnMvag3CeFaH8TZ9h2s5JUVGXywIcexsWAHf29+PzSBK4claGE4EWkRtQ02nl+WBsDNY7q43Vi/ZocPHx8fx4DTQYMGsXbtWp544gn+9Kc/AZCfn0909M8JrqCg4JjWkF+yWq1Yra3TtdCrcwg/7C3kQHlTwKg41LLxy6DRSkM8mmXlviLOmb+c+6ecwe+HxqsV5DQZhsGyPYUsXJHOkl0HHce7RwVx7chEzu/XWVvZi0iLen99DgUVdUSH+HLRgFizy2l1pz0n0DAM6urqSEpKIioqisWLF9O/f38A6uvrWbp0KY8++uhpF+oMvToHA2A3mhJGnQu0bpysmgYbf/l4K9/sOMBj0/rQKVi/kTdXdX0jHx5ahXTfoWnXFguc1T2SP4xMZHiXcAU7EWlxDTY7zy7dB8CNo5Px8XKvVg9oZvj485//zOTJk4mLi6OiooK3336bJUuW8NVXX2GxWJg1axZz5swhJSWFlJQU5syZg7+/P9OnT2+p+pvl8KpxxW14TY0luw4yaf4y5l7Ym8lu1kd4qnJLa3htZQZvHbUK6SWDYrlmRKK6s0SkVX26aT85JTWEB/hw+eB4s8sxRbPCx4EDB7jqqqvIy8sjJCSEPn368NVXXzFx4kQA7rnnHmpqarjlllsoKSlh6NChLFq0yPQ1Pg6LDPZlQHwoG7JKzS7ltJRWN3DzGxuYMTyBP085A6uXugiOdngV0oUr0vl62wHHlOmEw6uQDowlyNfb5CpFxN3Y7QZPL9kLwHWjktx213OLYRguNcqhvLyckJAQysrKCA4Odvr5X1iWxiNf7HD6ec3Sq3MwT00foN/eD6lrtPH55jwWrshgS26Z4/jIruFcOyKJcd07aVdZETHNF1vyuOWNDQT7erHi3vHt6peg5ty/3W4d6HN6RbWr8LE1t5zznvyBxy/pyzm9oswuxzSFlXW8sTqL/67OPGIV0gv7d+aakYl0j3J+kBURaQ7DMHjq+6ZWj2tGJLar4NFcbhc+4sL8GZUS4djB1vnn92NSjyiiQ3ypt9nJKanh4425jmmcLaGirpGbXl/PnWelcOdZKW61UM3W3DIWrsjgfz/td6xCGhls5erhiVqFVERcypJdB9m2vxx/H0+uHZlkdjmmcrvwAU2JsyXCx/junXjmygHHjMGYc2FvSqvrWbz9AH//33Yq6lpm8bInvt3Djrxy5l3Wr11vbmazGyzefoCXV6TzY/rPq5D2iwvl2pGJnNs7WquQiohLMQyDBYdaPX4/NJ4Obv6LUfu9Q/2Gcd06kRDuT2ZRtVPPe8dZKccd/Bnq78Mlg+K4ZFAcO/PLeeyrXY6ddZ1p0fYDXPjUCl6+ZjBxYf5OP7+ZyqobeGfdsauQnts7mmtHJtI/voPJFYqI/LrVacWszyzBx8uDG0Ylm12O6dwyfHh4WJgxPJG/f7bdqeeNCT25tTe6RwXz8jWDySyq4t4PtrAqrcipdewpqOSiZ1by8ozB9I4Nceq5zbC3oJJXVqbzwfpcahp+XoV0+tB4rhqWqFVIRcSlGYbB/G92A3DpoFit04Sbhg+A6UPjeW7ZPsdqp85QUF5Hp6CTv6gSwgN468ZhbNtfxpQnf3BaHdC0Dfxlz6/iqekDGNe9k1PP3RrsdoOluw/y8or0I7rItAqpiLQ1i7YfYE16MVYvD24e29XsclyC23aM+3p7csdZKU4959pf7ILaHD1jQtg351z+7+xuTq2nut7G9a+t49112U49b0uqrGvk1ZUZTJi3lGtfWcvyPYVYLDCxRyRv3jCUL+8cxWWD4xU8RKRNqG+0M/fQDMsbRiXTOdTP5Ipcg9u2fABcOiiO55elOW3sx6c/7T/lEcyeHhZuHdeVKb2jGfuvJU6pB5oGZ97z/mZq6m3MGJHotPM6W1ZRNa+uyuDdtdmOAblBvl5cNiiOq4cnEh/evsaviIh7eG1VBhlF1XQMsnLT2C5ml+My3Dp8eHt6cPekbtzx1kannG9jVikbs0pOa+BjYkQAux4+h9ve3Mji7QecUhfAA59uo7rexs0udPEbhsGqfUW8vCKDb3ce4PByd8kRAVwzMpFpA2IJaMezdkSkfSuuqueJb/cA8MdJqe16FmJzuf0nMbVPNG+uyWR12ql1mRztsa928eYNQ09rgzKrlycvXD2It3/M4t4PtzilLoBHv9pJXaONWRNSnXbOU1HbYOPjjbm8sjKDnfkVjuOjUzty7chExqR0dKu1SkSkfXrim91U1DZyRnQwFw+MM7scl+L24cNisfDwBb2Z/MQyGmynv9L8qrQiPv1pP+f363za57p8SDxJEQFc9vzq0z7XYfO/2YOvtyc3jWn9FpC8shpeW5XJWz9mUVrdAIC/jyfTBsQyY0QiXTsFtnpNIiItYW9BBa+vyQLgr1PO0LYOR3H78AHQtVMgN4/pwpPf7XXK+R78dBvDksOJdMJ0qqHJ4Xx2+5mc9x/nzYb555c78fP2bJUxIIZhsCGrhJdXZPDV1nzHBm+xHfyYMTyRSwfHEeLnvksMi0j7NOeLndjsBhPOiGRE1wizy3E5brex3PHUNtg4Z/4yMpw0+HRoUhhvXD8ULyettJl2sJLx/2+pU8512L8u6cvFA2Odes7DjrfB27DkMK4ZkcTEHpH6TUBE2qXlew5y1Us/4uVhYdFdo0nu6B6tus25f7vtVNuj+Xp7Mu+yfk67Ia5JL+aBT7fhrGyX3DGQz24/0ynnOuzeDzbzg5OXmT9YUcf8b3Yz8p/fM/vdn9iSW4aPlweXDorliztG8faNwzmnV5SCh4i0S402Ow9/1jS19qrhCW4TPJpL3S6/MCC+A7eN6+oYnXy63liTRUyoH7eOc86iMr06h/D6dUO58qU1Tjlfo93g5tfX897Nw09719ctOWUsXJnOZz/lHbHB21XDErhiSDzhgVZnlCwi4tLeXZfDrgMVhPh5c6eT15JqTxQ+jnL7+K4s3X2QTdmlTjnf41/vwurlwfVOWsv/zJQI/nF+T/76yTannK+irpE/LFzLp7efSUQzA0Kjzc7X2w6wcEU66zJLHMf7x4dy7cgkJveK0gZvIuI2KmobmLd4FwCzJqQQ6u/em8f9FoWPo3h5ejD/sn5MeXI5VfU2p5zz4c93UF1v4/bxXU9rCu5hVw5L4LPNeaxJd8704P1ltdz+5kb+e92QkxqjUlJVz9trs/nvqgz2l9UCTRu8TekTzbUjk+gXF+qUukRE2pKnvt9HYWU9yREBXDkswexyXJoGnB7HV1vzuOn1DU495+WD4/j7+b3w8Tr91oCSqnr6/2OxE6r62czRydx37hnHfX5XfgWvrEzno4251DY0da2EB/jw+6Hx/H5YglNm94iItEXZxdWc9f+WUm+z8+LVg5jQI9Lsklpdc+7favk4jnN6RXPL2C48vWSf08759tps0g5W8eQV/U97J9YOAT48fnEf/u/9zU6qDp5blsbAhA5M6hnlOGa3G3y3s4CFK9NZsffn3Xd7RAdz7chEpvaN0T4rIuL2/vnVTuptdkZ2DeesM9reZp6tTS0fv8FmN7hm4Y9H7KrqDGEBPjw2rc9pJ2Ob3WDII99QVFXvpMqaavt61mh8vT14d10Or63KcOx942GBST2iuHZkIkOSwpzShSQi0tatyyjm4mdXYbHA57ePokeMufcuszTn/q3wcQIlVfWc/9QKsoqds/7HL13YvzN/Pa8HYQGnPijps837ue1N5+xN80sBPp6OMS/Bvl5cMSSeK4clEBemDd5ERA6z2w0ufGYlP2WXcvngOP45rY/ZJZlG3S5O1CHAh4XXDmbaMysdS4I7y0cbc/l2xwHunJDKVcMSTmksyKQeUSd+0SmoqrfRtVMg14xI5KIBnfH30aUiInK0T3/az0/ZpQT4eDJ7krn7ZrUlmgd5Erp0DOSlGYOwOmGg6NHKaxv5x2fbGfevJby+OpPahubNsPHx8mBSCw1sev+m4Vw5LEHBQ0TkV9TU23j0q50A3DKuK52CNOj+ZCl8nKSBCWE8cXk/nD3MITHcn4hAH3JLa/jLx1sZPvdb5n65g90HKk78hw9pqQ3Z/t+i3S1yXhGR9uDF5WnkldXSOdSP685MMrucNkXhoxnO6RXNQ7/r6dRzZhRVU1hZz6QekXQO9aOkuoHnlqYx6d/LOGf+Mh79aicr9xZSVdd43HN4tdBS5a+vyWxWCBIRcRcHymt5ZmnTbMg/Te6uWX/NpPb0Zrp6eCK1DTbmfLHTqeddtP0AQ5PCmD40no1ZJSzdfZCd+RXszK/gmSX7sFiaun+SIgKI7eBHRKCVAB9PvL08nLYb79EMA+Z/s5unfz+wRc4vItJW/evrXVTX2+gfH8rUPtFml9PmKHycghtHd6G+0c6/nNwtsSa9mDXpxQyID+Wxi/tgs8OKvYWs2ldEfnktewsq2VtQ6dT3PB4PC9gN+GJLPtv2l9EzJqRV3ldExNVtzS3j/Q05APz1vB5aduAUKHycotvGp1DfaG+RVocNWaVsyCoF4JoRiTx8QS9iQv04UFFLTnE1OSU17D5Qwfe7Djr9vQ+zGxAV7Et+eS0vLk/n35f1a7H3EhFpKwzD4OHPt2MY8Lu+MQyI72B2SW2SwsdpuGtiKl6eHsxb3HIDM19ZmcErKzMcX0cE+tBgMyirce6031/j59PUh/n55jzun3JGszeeExFpbxZtP8DqtGKsXh78aXJ3s8tpszTg9DRYLBbuOCuFv5/v3EGov6Wwsr7Fg0egtSmTFpTX0j0qiHqbnffW5bToe4qIuLr6Rjtzv9gBwPWjkugc6mdyRW2XwocTXD08kScu79dis05aW6PdTkSgD1X1NuIPrWj6+Zb9JlclImKu11ZlkFFUTccgKzeP7Wp2OW2awoeTnN+vMy9cPQh/n7Y73crDAkG+XtQ22B2JPsDqhYcFtuaWk1Pi/CXmRUTagpKqep78dg8Af5yU6mghllOj8OFE47p34v2bRhBzmjvWtrbD30SHB5kCjvEdWcXVDEoMA2BJCw5wFRFxZY98sYPy2ka6RwVx8cA4s8tp8xQ+nKxHTDAf3zaSvnGhZpdyQsG+TaEjLMDH0WUUHujjOAawI6+coUlN4WNTdmnrFykiYrJluw/y/vocLBZ45MJeeLaTLnYzKXy0gE5Bvrxz4zDO7xdjdinH8PSwOLqGIg+1ckQGW2m0G0cciwhqavmoPrTBHMBPCh8i4maq6hq578MtAMwYnsjAhDCTK2ofFD5aiK+3J/Mv68c/LuiFj6frfMxRwb5U19vw9fZwTKWNOTS+w9/HE79DSwT7eXsScOj5ED9vALJLqjEMw4SqRUTM8fjXu8gtrSG2gx//d3Y3s8tpN1znrtgOWSwWrhqWwPs3Dye2g/lTsqJDfCmsrANgbGonNueUYbFAB/+mLpZ+caHsL6sFmlpDDjvcGlLbYKfiN/aYERFpT9ZlFPPqqgwA5l7UmwANMnUahY9W0Cc2lM9vH8W5vaNMqyHQ6sXBijrqGu0MTOhAWmHTMu1TekezLrMYgLHdOrIzrxyA+LAA6hrtAIT6eztabypqFT5EpP2rbbDxpw82YxhwycBYRqV0NLukdkXho5WE+Hvz1PQBPHF5P0c3RmuqrGuk0W4wKKEDdY02dh+oJDzAh35xoWzNLcfHy4MzooMpqKjD38eT8EAfGu0GPl4edAy0Um9rCiKu1IUkItJS/vPdHvYdrKJjkJW/TOlhdjntju4krchisXB+v84sums0Y7u1booO8vWiX1woGUXVbM0tJ9DqxexJqfzn0N40t47tykcbcgEY160TOw61gHTtGEh1g81xnra8jomIyMnYtr+MZ5emAfCP83sR4t/6vzC2dwofJogM9mXhNYN54vJ+dAxq+f1SfLw8sNsNNmWXUlhZR1JEALMmpPDvxbspq2mgX1wog5M68PGmpvBx05gufLklH2jqijm8k25ksFV9niLSrjXa7Nzz/mZsdoNze0dxTi/zusvbM91JTHK4FWRc9078e/FuXl2Zgb2FJpLUN9qppyk8nNm1I7WNNh75YgeGAWdEB/PwBb244bV12A24sH9nAqyeLN5xAIDz+sSwcl8hAKmRQS1ToIiIi3h+eRrb9pcT4ufNg79rvX273I3Ch8mCfb15YGpPLhkYxz+/2smy3c5dRdTH04PwQB/HOJMPNvy8Qdylg2I5v19nbnhtHXlltSRHBPDQ+T25462N2OwG47t3okdMMH/7ZCsAZ3Xv5NTaRERcyb6Dlcz/pmkJ9b+d14NOQW1rteq2ROHDRfSICea1Pwxh5b5CHvtql9NWE6232ckrqyXv0BRaTw8L47p15IL+nVm1r4irXlqD3YCunQJ54/qhvLg8nSW7DuLj5cGfzulOYWUd67NKADinV7RTahIRcTV2u8G9H2ymvtHO6NSOXDSgs9kltWsKHy5mRJcIProlnG93FPDs0n2syyw5pfN4e1rw8/YkItCKv9WTqGBf/H28iArxZVNWKXe8tdHRzXPRgM78ZUoPnl26j+eXNQ2y+vvvetItqqmb5dvZY1iXWUJUG9uzRkTkZL2xJpO1GSX4+3gy58JeWCxaQr0lKXy4IIvFwoQekUzoEcn6zBKeX7aPRdsP0JzFRRtsBg22RirrGrEbTbvSHm10akduGdsFb08Prn55jeM1907uzuVD4h2vS+4YSHLHwNP+e4mIuKKckmr++eVOAP50TndiO/ibXFH7p/Dh4gYmdOC5qwaxv7SGD9bn8N76HLKKf31re19vD4J9vSmtaaD+0AJhh1s3PD0sJIb7kxoZxLDkcM6IDmbXgQr+9fUuR+tKsK8X/7igF+f3U3OjiLgHwzC4/6OtVNXbGJTQgauGJZhdkluwGC62WUd5eTkhISGUlZURHBxsdjkux243WJdZwqJt+SzecYDMomODSAd/b6JD/Ai0euHr40mnICueFgvVDTYOlNeyr6CSoqp6x+t9PD24oH8Mf5zUjU7B6loREffx4YYcZr/7Ez5eHnx55yi6qJX3lDXn/q2WjzbGw8PCkKQwhiSFcf+UM9hbUMnq9GLWZxSzLrOEnJIaSqobKKlu+O3zWJpaVcZ3j2TagM4KHSLidg5W1PH3z7YDcOdZKQoerUjhow2zWCykRAaREhnkaCqsqmsks6iajKIqiirrqKyzUV3fiI+nB/5WL8ICvEnpFERyxwD8ffTPLyLu68FPt1Fa3UDPmGBuHJ1sdjluRXefdibA6kWPmGB6xKjLSkTkeL7ams/nW/Lw9LDw6LQ+eGvfqlalT1tERNxKWXUDfz20eOLM0cn06hxickXuR+FDRETcyiNfbOdgRR3JHQO446wUs8txSwofIiLiNn7YU8i763KwWOCxaX3w9dZO3WZQ+BAREbdQXd/IvR9uBuDqYQkMSgwzuSL3pfAhIiJu4V9f7yanpIbOoX783zndzS7HrSl8iIhIu7c+s4SFK9MBmHNRbwKtmuxpJoUPERFp12obbPzpg80YBkwbEMuY1I5ml+T2FD5ERKRd++eXO9lbUElEoA9/Pe8Ms8sRmhk+5s6dy+DBgwkKCqJTp05ccMEF7Nq164jXGIbBgw8+SExMDH5+fowdO5Zt27Y5tWgREZGT8fW2fF5ZmQHA45f0JdTfx9yCBGhm+Fi6dCm33norq1evZvHixTQ2NjJp0iSqqqocr3nssceYN28eCxYsYO3atURFRTFx4kQqKiqcXryIiMjx5JbWcM/7TbNbbhydzLhunUyuSA47rV1tDx48SKdOnVi6dCmjR4/GMAxiYmKYNWsWf/rTnwCoq6sjMjKSRx99lJkzZ57wnNrVVkRETleDzc7lz69mfWYJfeNCeW/mcHy8NNKgJTXn/n1a/xJlZWUAhIU1zZVOT08nPz+fSZMmOV5jtVoZM2YMK1eu/NVz1NXVUV5efsRDRETkdPx78W7WZ5YQZPXiP5f3V/BwMaf8r2EYBrNnz+bMM8+kV69eAOTn5wMQGRl5xGsjIyMdzx1t7ty5hISEOB5xcXGnWpKIiAjL9xzkmaX7APjntD7Eh/ubXJEc7ZTDx2233cbmzZt56623jnnOYrEc8bVhGMccO+y+++6jrKzM8cjOzj7VkkRExM0VVNRy1zubMAyYPjSeKX2izS5JfsUprbJy++238+mnn7Js2TJiY2Mdx6OiooCmFpDo6J//wQsKCo5pDTnMarVitVpPpQwREREHu91g9js/UVhZT/eoIP52Xg+zS5LjaFbLh2EY3HbbbXz44Yd89913JCUlHfF8UlISUVFRLF682HGsvr6epUuXMmLECOdULCIi8iueWbqPH/YW4uftyYLp/bVpnAtrVsvHrbfeyptvvsknn3xCUFCQYxxHSEgIfn5+WCwWZs2axZw5c0hJSSElJYU5c+bg7+/P9OnTW+QvICIisi6jmHmLdwPw0Pk96dopyOSK5Lc0K3w888wzAIwdO/aI4wsXLuSaa64B4J577qGmpoZbbrmFkpIShg4dyqJFiwgK0oUgIiLOV1pdzx1vbcRmN7igXwyXDIw98R8SU53WOh8tQet8iIjIyTIMg5n/Xc+i7QdIDPfnsztGadM4k7TaOh8iIiJmenVlBou2H8DH04MF0wcoeLQRCh8iItImbc0tY84XOwG479zu9OocYnJFcrIUPkREpM2prGvk9rc2Um+zM7FHJNeMSDS7JGkGhQ8REWlTDMPgrx9vJb2wipgQXx6/uM9xF7IU16TwISIibcr763P4aGMunh4WnryiP6H+PmaXJM2k8CEiIm3G3oIK/vbJNgDumpDCoMQwkyuSU6HwISIibUJtg43b3txITYONkV3DuXlsV7NLklOk8CEiIm3Cw59vZ2d+BRGBPvz7sn54emicR1ul8CEiIi7vyy15vL46C4B5l/ajU5CvyRXJ6VD4EBERl5ZdXM09H2wG4OaxXRid2tHkiuR0KXyIiIjLarDZuf2tjVTUNjIgPpTZE1PNLkmcQOFDRERc1iOf72BTdinBvl48eUV/vD1122oP9K8oIiIu6c01WbyyMgOAxy/pS2wHf3MLEqdR+BAREZezcl8hf/tkKwB3T0zl7J5RJlckzqTwISIiLiWjsIpb3thAo93gd31juG281vNobxQ+RETEZZTXNnD9a+sorW6gb2wIj2nflnZJ4UNERFxCo83ObW9uZG9BJVHBvrxw9SB8vT3NLktagMKHiIi4hEe+2MGy3Qfx9fbgxRmD6BSshcTaK4UPEREx3Vs/ZrFwRQYA/760H706h5hbkLQohQ8RETHVqn1F/PXjppktsyemMrl3tMkVSUtT+BAREdNkFlVx8xvrabQbTO0bw+2a2eIWFD5ERMQU5bUNXPfqzzNbHtfMFreh8CEiIq2u0Wbn9l/MbHleM1vcisKHiIi0ujlf7GTpL2a2RGpmi1tR+BARkVb11o9ZvLwiHYB5mtnilhQ+RESk1fxyZstdE1I5VzNb3JLCh4iItIpfzmw5r080d5ylmS3uSuFDRERa3NEzW/51SV/NbHFjCh8iItKiNLNFjqbwISIiLeqXM1teuFozW0ThQ0REWtDbv5jZ8v8u6UfvWM1sEYUPERFpIavTivjLL2a2TOmjmS3SROFDREScbvv+cm58bZ1mtsivUvgQERGnSi+s4uqX11Be28jAhA48frFmtsiRFD5ERMRp9pfWcOWLayisrKdHdDAvXzMYPx/NbJEjKXyIiIhTFFbWceVLa8gtrSE5IoDXrhtCiJ+32WWJC1L4EBGR01ZW08DVL/1I2sEqYkJ8+e/1Q4kItJpdlrgohQ8RETktNfU2rntlLdvzygkP8OH164fSOdTP7LLEhSl8iIjIKatvtDPz9fWsyywhyNeL164bQnLHQLPLEhen8CEiIqfEZjeY9c5Glu0+iJ+3JwuvGUzPGC0iJiem8CEiIs1mGAb3fbiZL7bk4+1p4bmrBjIoMczssqSNUPgQEZFmMQyDhz/fwbvrcvCwwJOX92d0akezy5I2ROFDRESa5T/f7eWlH5r2a3l0Wh8m99ay6dI8Ch8iInLSFq5IZ97i3QD87bweXDIozuSKpC1S+BARkZPy/vocHvrfdqBpo7g/nJlkckXSVil8iIjICX21NY973v8JgOvOTNJGcXJaFD5EROQ3Ld9zkDve2oTdgEsHxfKXKWdoozg5LQofIiJyXOszS7jxtfXU2+yc2zuKuRf1UfCQ06bwISIiv2r7/nKuXfgjNQ02Rqd25N+X9cPTQ8FDTp/Ch4iIHCPtYCVXv7yG8tpGBiV04NkrB2D18jS7LGknFD5EROQIu/IruOz51RRW1tMjOpiXrhmMv4+X2WVJO6KrSUREHDbnlHL1yz9SWt1A96ggXrtuCCF+3maXJe2MwoeIiACwNqOYaxeupbKukb5xobx67WBC/X3MLkvaIYUPERFh+Z6D3PDaOmob7AxLDuPFGYMJtOoWIS1DV5aIiJv7els+t7+5kXqbnbHdOvLslQPx9dbgUmk5Ch8iIm7s44253P3eT9jsBuf2jmL+Zf3x8dJcBGlZCh8iIm7qjTWZ/OXjrRgGTBsQy6PTeuPlqeAhLU/hQ0TEDT2/bB9zvtgJwNXDE3hwak88tICYtBKFDxERN2IYBv/+Zg9PfrsHgJvHduGes7tpyXRpVc1uX1u2bBlTp04lJiYGi8XCxx9/fMTzhmHw4IMPEhMTg5+fH2PHjmXbtm3OqldERE6RYRg8/PkOR/D4v7O78adzuit4SKtrdvioqqqib9++LFiw4Feff+yxx5g3bx4LFixg7dq1REVFMXHiRCoqKk67WBEROTU2u8GfP9rCSz+kA/Dg1B7cOq6ryVWJu2p2t8vkyZOZPHnyrz5nGAbz58/n/vvv56KLLgLg1VdfJTIykjfffJOZM2eeXrUiItJsDTY7f3zvJz7ZtB8PC/xzWh8uHRRndlnixpw6rDk9PZ38/HwmTZrkOGa1WhkzZgwrV6781T9TV1dHeXn5EQ8REXGO2gYbt7yxgU827cfLw8J/rhig4CGmc2r4yM/PByAyMvKI45GRkY7njjZ37lxCQkIcj7g4fVOIiDhDdX0j17+6jsXbD+Dj5cHzVw9kSp9os8sSaZldbY8evGQYxnEHNN13332UlZU5HtnZ2S1RkoiIWymvbeDql37kh72F+Pt48sq1gxnfPfLEf1CkFTh1qm1UVBTQ1AISHf1zui4oKDimNeQwq9WK1Wp1ZhkiIm4tu7ia619dx64DFQT7evHKH4YwIL6D2WWJODi15SMpKYmoqCgWL17sOFZfX8/SpUsZMWKEM99KRER+xfrMEi58egW7DlTQKcjK2zcOV/AQl9Pslo/Kykr27t3r+Do9PZ1NmzYRFhZGfHw8s2bNYs6cOaSkpJCSksKcOXPw9/dn+vTpTi1cRESO9MmmXP7v/c3UN9rpER3MS9cMIjrEz+yyRI7R7PCxbt06xo0b5/h69uzZAMyYMYNXXnmFe+65h5qaGm655RZKSkoYOnQoixYtIigoyHlVi4iIg2EYzP9mD08cWjxswhmRPHF5PwKsWsRaXJPFMAzD7CJ+qby8nJCQEMrKyggODja7HBERl1bbYOP/3t/M/37aD8DM0cncc053PLVPi7Sy5ty/FYtFRNqogxV13PjfdWzMKsXLw8IjF/bissHxZpclckIKHyIibdDO/HKue2UduaU1hPh588yVAxjRJcLsskROisKHiEgb8/3OAm57cwNV9TaSIgJ4acYgkjsGml2WyElT+BARaSMMw+CVlRn847Pt2A0YlhzGs1cOJNTfx+zSRJpF4UNEpA1osNl58NNtvLEmC4BLB8Xy8AW98fFqkYWqRVqUwoeIiIsrq2ngtjc3sHxPIRYL3De5OzeMSj7uthUirk7hQ0TEhWUWVfGHV9ay72AVft6ezL+8H2f3jDK7LJHTovAhIuKiVqcVcfPr6ympbiAq2JcXZwyiV+cQs8sSOW0KHyIiLsZuN3hm6T7+36Jd2A3o3TmEF2cMIjLY1+zSRJxC4UNExIUUV9Vz1zubWLr7IAAX9IthzkW98ffRj2tpP3Q1i4i4iLUZxdz+5kbyy2uxennw9/N7cumgOA0slXZH4UNExGR2u8Fzy9L416Jd2OwGyREBPPX7AZwRrf2tpH1S+BARMVFxVT13v7uJ73c1dbOc3y+GRy7sTaB2pJV2TFe3iIhJ1mUUc/tbG8krq8XHy4OHfteTywerm0XaP4UPEZFWZrcbvLA8jce+/rmbZcH0AfSIUTeLuAeFDxGRVlRSVc/d7/3EdzsLAJjaN4a5F6mbRdyLrnYRkVayPrOE29/cwP5D3SwPTu3JFUPUzSLuR+FDRKSFGYbBi8vTefSrnTTaDZIiAlgwvT89Y7RaqbgnhQ8RkRaUV1bDvR9scSwadl6faOZe1JsgX2+TKxMxj8KHiEgLMAyD99bn8I/PtlNR24iPlwd/O68Hvx8ar24WcXsKHyIiTpZfVst9H252rN3RLy6Uf13Sh66dgkyuTMQ1KHyIiDiJYRh8sCGXh/63ram1w9OD2ZNSuf7MJLw8PcwuT8RlKHyIiDjBgfJa/vzhFr49NIW2b2wI/7qkLymRau0QOZrCh4jIaTAMg4825vLgp9soP9TaMWtiCjeOSlZrh8hxKHyIiJyigvJa/vzRVr7ZcQCA3p2bWju6Ram1Q+S3KHyIiDSTYRh8smk/D3y6jbKaBrw9LcyakMrM0WrtEDkZCh8iIs1QUF7LXz7eyqLtTa0dvToH869L+tI9SvuyiJwshQ8RkZPQYLPzyooM5n+zm6p6G96eFu4Yn8JNY7vgrdYOkWZR+BAROYEVewt54NNt7C2oBJrW7Zh7UW/OiFZrh8ipUPgQETmO/aU1PPL5Dj7fkgdAWIAP957TnYsHxuLhoVVKRU6VwoeIyFHqGm289EM6//l2LzUNNjwscNWwBGZP7EaIv/ZkETldCh8iIr+wdPdBHvx0G+mFVQAMTuzAQ7/rRY8YdbGIOIvCh4gIkF1czT8+2+6YxRIRaOXP53bnwv6dtRGciJMpfIiIW6upt/H8sjSeXrKXukY7nh4WrhmRyKwJKdr2XqSFKHyIiFtqsNl5e202T367h4MVdQAMSw7j7+f3IlX7sYi0KIUPEXErdrvB/zbvZ97i3WQWVQMQ28GPe87pztQ+0epiEWkFCh8i4hYMw2DJroM89vUuduSVA03jOu44qyuXD47Hx0sLhYm0FoUPEWn31mUU89hXu/gxoxiAIKsXM8ckc+3IJAKs+jEo0tr0XSci7daOvHL+9fUuvt1ZAIDVy4MZIxK5eUwXOgT4mFydiPtS+BCRdmdnfjlPf7+P/23ej2GAp4eFSwfFcsdZKUSH+JldnojbU/gQkXZjfWYxT3+/z9HSATClTzR3T0wluWOgiZWJyC8pfIhIm2YYBkt2H+SZ7/c5xnRYLHBur2huHtuFXp1DTK5QRI6m8CEibZLNbvDFljyeWbKP7Ydmr3h7Wpg2IJaZY7qQFBFgcoUicjwKHyLSptQ22PhwQy7PLdvnWKfD38eT6UPiuX5UMlEhviZXKCInovAhIm1CdnE1b6zJ4p21WZRUNwDQwd+ba0YkcfXwBM1eEWlDFD5ExGXZ7QY/7C3ktVWZfLfzAHaj6XjnUD/+cGYSVwyJw99HP8ZE2hp914qIyymvbeD9dTm8vjqTtENb2wOc2TWCq4cncNYZkXh6aBl0kbZK4UNEXIJhGGzKLuW99Tl8vDGX6nob0LQa6bSBsVw1PIEumi4r0i4ofIiIqfLLavlwYw4frM9h38GfWzlSIwO5engiF/bvrCXQRdoZfUeLSKurbbDx9bZ83l+fw4q9hY6xHL7eHkzuFc2lg+IYlhymHWZF2imFDxFpFQ02Oyv3FfHF5jy+2JJHRV2j47khiWFcPDCWyb2jCPL1NrFKEWkNCh8i0mJ+GTi+3p5P6aEpsgCxHfy4aEAs0wZ0JiFcC4KJuBOFDxFxqtoGG6v2FfHl1jwWbT9wROCICPTh7J5RnNcnhqFJYXhoxoqIW1L4EJHTll9Wy3c7C/hu5wF+2FtIbYPd8dzhwDGlTzRDk8I1RVZEFD5EpPnqGm1szCrlhz2FfLezwLG3ymHRIb6cdUYnzu2twCEix1L4EJETstsNtueVs2JvISv2FfFjetERrRsWC/SPC2V8906M7x7JGdFBmqkiIsel8CEix6htsLE5p4y1GcWsyyhmfWYJ5bWNR7wmItCHEV0iGJ3akXHdOhIeaDWpWhFpaxQ+RNyc3W6QVljF5pxSfsouZVNOGTv2l1Nvsx/xugAfT4YlhzOiawRndo0gNTJQrRsickpaLHw8/fTTPP744+Tl5dGzZ0/mz5/PqFGjWurtROQklNU0sCu/gp355ezMr2BnXjm78iuoOrSU+S9FBFoZktSBQQlhDEkKo3tUEF6eHiZULSLtTYuEj3feeYdZs2bx9NNPM3LkSJ577jkmT57M9u3biY+Pb4m3FJFDbHaD/aU1ZBZVk15URUZhFemFVezKryC3tOZX/4yvtwe9YkLoExtK37gQ+sWFEh/mr5YNEWkRFsMwDGefdOjQoQwYMIBnnnnGceyMM87gggsuYO7cub/5Z8vLywkJCaGsrIzg4GBnlybSphmGQXlNI3nlNeSV1ZJXWkt+WQ37y2rJL6tlf1kNOSU11Dfaj3uOzqF+dI8KoltUEN2jg+keFURSRADeatUQkdPQnPu301s+6uvrWb9+Pffee+8RxydNmsTKlSuPeX1dXR11dXWOr8vLy495jYg7W5dRzPQX1/xmoDiaj6cHcWF+JEUEkBgeQGJEAN2igkiNDCLET8uXi4i5nB4+CgsLsdlsREZGHnE8MjKS/Pz8Y14/d+5cHnroIWeXIdJuvLM2+5jg0cHfm6gQP2JCfIkK8SUm1I+oYF+iQ32J6+BPTKif1tYQEZfVYgNOj+4rNgzjV/uP77vvPmbPnu34ury8nLi4uJYqS6TNuXtSNzoFW1mXUUJEoJXx3TsxbWCs2WWJiJwyp4ePiIgIPD09j2nlKCgoOKY1BMBqtWK1an0AkeOJCvHl/87ubnYZIiJO4/QRZj4+PgwcOJDFixcfcXzx4sWMGDHC2W8nIiIibUyLdLvMnj2bq666ikGDBjF8+HCef/55srKyuOmmm1ri7URERKQNaZHwcdlll1FUVMTf//538vLy6NWrF1988QUJCQkt8XYiIiLShrTIOh+nQ+t8iIiItD3NuX9rVSERERFpVQofIiIi0qoUPkRERKRVKXyIiIhIq1L4EBERkVal8CEiIiKtSuFDREREWpXCh4iIiLQqhQ8RERFpVS2yvPrpOLzganl5ucmViIiIyMk6fN8+mYXTXS58VFRUABAXF2dyJSIiItJcFRUVhISE/OZrXG5vF7vdzv79+wkKCsJisZhdzhHKy8uJi4sjOztb+84chz6jE9NndGL6jE5Mn9Fv0+dzYs7+jAzDoKKigpiYGDw8fntUh8u1fHh4eBAbG2t2Gb8pODhYF/MJ6DM6MX1GJ6bP6MT0Gf02fT4n5szP6EQtHodpwKmIiIi0KoUPERERaVUKH81gtVp54IEHsFqtZpfisvQZnZg+oxPTZ3Ri+ox+mz6fEzPzM3K5AaciIiLSvqnlQ0RERFqVwoeIiIi0KoUPERERaVUKHyIiItKqFD5O0iOPPMKIESPw9/cnNDT0V1+TlZXF1KlTCQgIICIigjvuuIP6+vrWLdSFJCYmYrFYjnjce++9ZpdlqqeffpqkpCR8fX0ZOHAgy5cvN7skl/Hggw8ec71ERUWZXZapli1bxtSpU4mJicFisfDxxx8f8bxhGDz44IPExMTg5+fH2LFj2bZtmznFmuREn9E111xzzHU1bNgwc4o1wdy5cxk8eDBBQUF06tSJCy64gF27dh3xGjOuI4WPk1RfX88ll1zCzTff/KvP22w2pkyZQlVVFT/88ANvv/02H3zwAXfffXcrV+pa/v73v5OXl+d4/OUvfzG7JNO88847zJo1i/vvv5+NGzcyatQoJk+eTFZWltmluYyePXsecb1s2bLF7JJMVVVVRd++fVmwYMGvPv/YY48xb948FixYwNq1a4mKimLixImOPbLcwYk+I4BzzjnniOvqiy++aMUKzbV06VJuvfVWVq9ezeLFi2lsbGTSpElUVVU5XmPKdWRIsyxcuNAICQk55vgXX3xheHh4GLm5uY5jb731lmG1Wo2ysrJWrNB1JCQkGP/+97/NLsNlDBkyxLjpppuOONa9e3fj3nvvNaki1/LAAw8Yffv2NbsMlwUYH330keNru91uREVFGf/85z8dx2pra42QkBDj2WefNaFC8x39GRmGYcyYMcM4//zzTanHFRUUFBiAsXTpUsMwzLuO1PLhJKtWraJXr17ExMQ4jp199tnU1dWxfv16Eysz16OPPkp4eDj9+vXjkUcecdtuqPr6etavX8+kSZOOOD5p0iRWrlxpUlWuZ8+ePcTExJCUlMTll19OWlqa2SW5rPT0dPLz84+4pqxWK2PGjNE1dZQlS5bQqVMnUlNTueGGGygoKDC7JNOUlZUBEBYWBph3HbncxnJtVX5+PpGRkUcc69ChAz4+PuTn55tUlbnuvPNOBgwYQIcOHfjxxx+57777SE9P58UXXzS7tFZXWFiIzWY75hqJjIx02+vjaEOHDuW1114jNTWVAwcO8PDDDzNixAi2bdtGeHi42eW5nMPXza9dU5mZmWaU5JImT57MJZdcQkJCAunp6fz1r39l/PjxrF+/3u1WPzUMg9mzZ3PmmWfSq1cvwLzryK1bPn5tgNvRj3Xr1p30+SwWyzHHDMP41eNtVXM+s7vuuosxY8bQp08frr/+ep599lleeuklioqKTP5bmOfoa6G9XR+nY/LkyUybNo3evXszYcIEPv/8cwBeffVVkytzbbqmfttll13GlClT6NWrF1OnTuXLL79k9+7djuvLndx2221s3ryZt95665jnWvs6cuuWj9tuu43LL7/8N1+TmJh4UueKiopizZo1RxwrKSmhoaHhmETZlp3OZ3Z4hPnevXvd7jfZiIgIPD09j2nlKCgoaFfXhzMFBATQu3dv9uzZY3YpLunwTKD8/Hyio6Mdx3VN/bbo6GgSEhLc7rq6/fbb+fTTT1m2bBmxsbGO42ZdR24dPiIiIoiIiHDKuYYPH84jjzxCXl6e4x9w0aJFWK1WBg4c6JT3cAWn85lt3LgR4IgL3F34+PgwcOBAFi9ezIUXXug4vnjxYs4//3wTK3NddXV17Nixg1GjRpldiktKSkoiKiqKxYsX079/f6BpbNHSpUt59NFHTa7OdRUVFZGdne02P4cMw+D222/no48+YsmSJSQlJR3xvFnXkVuHj+bIysqiuLiYrKwsbDYbmzZtAqBr164EBgYyadIkevTowVVXXcXjjz9OcXExf/zjH7nhhhsIDg42t3gTrFq1itWrVzNu3DhCQkJYu3Ytd911F7/73e+Ij483uzxTzJ49m6uuuopBgwYxfPhwnn/+ebKysrjpppvMLs0l/PGPf2Tq1KnEx8dTUFDAww8/THl5OTNmzDC7NNNUVlayd+9ex9fp6els2rSJsLAw4uPjmTVrFnPmzCElJYWUlBTmzJmDv78/06dPN7Hq1vVbn1FYWBgPPvgg06ZNIzo6moyMDP785z8TERFxxC8B7dmtt97Km2++ySeffEJQUJCj9TUkJAQ/Pz8sFos511GLzaNpZ2bMmGEAxzy+//57x2syMzONKVOmGH5+fkZYWJhx2223GbW1teYVbaL169cbQ4cONUJCQgxfX1+jW7duxgMPPGBUVVWZXZqpnnrqKSMhIcHw8fExBgwY4JjuJoZx2WWXGdHR0Ya3t7cRExNjXHTRRca2bdvMLstU33///a/+3JkxY4ZhGE3TJB944AEjKirKsFqtxujRo40tW7aYW3Qr+63PqLq62pg0aZLRsWNHw9vb24iPjzdmzJhhZGVlmV12q/m1zwYwFi5c6HiNGdeR5VBxIiIiIq3CrWe7iIiISOtT+BAREZFWpfA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\n" 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -147,11 +152,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Euler's method for training - benchmark time" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -179,8 +184,8 @@ }, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "Epoch: 0\t Loss: tensor(1.2093, grad_fn=)\n", "{'sigma': Parameter containing:\n", @@ -258,7 +263,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "{'sigma': Parameter containing:\n", @@ -269,8 +273,9 @@ " tensor(2.6892, requires_grad=True)}" ] }, + "execution_count": 23, "metadata": {}, - "execution_count": 23 + "output_type": "execute_result" } ], "source": [ @@ -278,11 +283,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Runge-Kutta method for training" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -308,8 +313,8 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "Epoch: 0\t Loss: tensor(0.1864, grad_fn=)\n", "{'sigma': Parameter containing:\n", @@ -387,7 +392,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "{'sigma': Parameter containing:\n", @@ -398,8 +402,9 @@ " tensor(2.6995, requires_grad=True)}" ] }, + "execution_count": 26, "metadata": {}, - "execution_count": 26 + "output_type": "execute_result" } ], "source": [ @@ -409,11 +414,11 @@ ] }, { + "cell_type": "markdown", + "metadata": {}, "source": [ "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} + ] }, { "cell_type": "code", @@ -430,7 +435,6 @@ "metadata": {}, "outputs": [ { - "output_type": "execute_result", "data": { "text/plain": [ "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", @@ -442,8 +446,9 @@ " [-6.0874e+00, -9.4245e+00, 1.7859e+01]], grad_fn=)" ] }, + "execution_count": 28, "metadata": {}, - "execution_count": 28 + "output_type": "execute_result" } ], "source": [ @@ -456,29 +461,34 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", "name": "stderr", + "output_type": "stream", "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", + " ax = fig.gca(projection='3d')\n" ] }, { - "output_type": "display_data", "data": { - "text/plain": "
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zH1tzEyI8benlaaf+Cne3NdooRyaVcF0fL2ZEe7IrsYjlu1M5nV3BD4ezWH00mxv7e/P42GCCXW3+9fcnIiIi0lXUNLawbHsy3x7KRK4QsDaT8dykMO4bHnBFfSdAadmeW17P7qQiNscWcji9tFP7m0gl9PN14IXJ4QwLdu6mo/x3qPJd8ivEzsdlp6BSmdcikcC0qH9XfKQV1/DiH2c5nV3Rqf2qG1s4nlnO8cxyrceDXK3p5WFHL09bBgU4MSjAyeCap0QiYUIvd8ZHuHE4rZQVe1I5mFrKnydz+etULtOjPXlybEiPENKKiIhcuwiCwOa4Qt75J57CKuWFb3q0B69fF6m+IF5uGlvkxOVVcTKrjB8OZ5Fb/u+6AS0KgRNZ5dz+1RHGhLny0tRwentd2ej6tpjIlNcTxRW2+Lomi49NGksul+qOp1AIfHsokyVbEmlsUXS8g5GkF9eSXlyr7sx4O1gyq783swZ4G+xiSCQShoe4MDzEhVPZ5Xy2O5UdCUVsPFfAxnMFzOjjyStTI/B1EpdjRERELi9ZpbW8sf48e5OLAfBzsuLtG3ozLtztsh9LbWMLG87l8/PRbM7lVna4vYedBeEetjhYmeJoZYaDlSkOlqY4WpthZ2lK6oUaNsUVtLsB3ZtczN7kYoJdrfn2vsH4OfeMc29xdSMALjbmV/Q4rkmH05s+P8TJrHLemhnJfSMCO71/Vmkt//vjHMcyy7rh6PTTz9eB2QO8mdnHyygxVkJBFZ/tSWPDuXwEAcxkUu4bEcCTY0OwtzK9DEcsIiJyLdPYIufLvems2J1KY4sCM5mUx8YE8cS4kMvqVSQIAudyK/lwezL7WgsgXThbm/HsxFCmRHl0WrxfXN3IzoQLbIu/wK7EonbP3zvMn6cnhF7xi/76M3nM/fUMw4Kc+eWRoV362p25fl9zxUd+RT3DF+9CIoEjr07A3c74XzCFQuDno1ks2pxIXZPc6P0G+jsS6WmHmYmU9OIa0opryS6ru5TDVzM50p3ZA7wZF+GGuYnhD3F8fhULNyVwIFU53eNgZcrcCaHcOcQfMxPRMVVERKTrOZBSwuvr48goqQVgRIgz794QRdBl1KFV1jXz6a4UVh3I0LvNvcP8mdDLnSFBTpTVNnE0vYykC9UoBAEJyiUKiQQkrX8CSJAglUBvb3sm9nJH1mZpvKaxhX3Jxby7IV4rQdbW3ITfHh12RZfBV+1P572NCczs68Wnt/fv0tcW7dUNsDlOueQyyN+pU4VHTWMLj/14Un0BN4SLjRnv3BDFlN4eyKQSFAqB4ppGdiUWEZtbqVV4mEglDAt2ZnSoK+EetiRfqOar/elcqGo0+B7b4pUVNsCdQ/yYPcCHAX4OOpXWkV52/PjgYPYkF7NwYwIpRTW8/U883x/K5JVpEUzp7dHjFdoiIiJXB6U1jby3MYG1rcmzrrbmvH5dJDP7XB5bdEEQOJJexvO/n9EbHf/y1Agm9nLDwlTG0Ywy/j6bzz3fHLuk97MxN2HuhFBuHeSLvaWp+rHp0Z5Mi/Lglb9i+e1EDqDU+r381znWPTmiXcFyuSiuUV5bXMVlF226u/Mx+7ODnMqu6PSSywdbk1i+OxUTqYQWhe4f2Ue39WVypAfW5iZsO1/IvLVxlNQYLiK6kgBnK+4a6s8dQ/z0JvG2yBX8fiKXpduT1cc2KMCR+TMi6ScGNYmIiFwigiDwx8lcFm5KoKKuGYkE7hnqzwtTwrGz6P5l3uLqRlYfzeajHck6n3/7+t708bEnqbCazXGFav1JV3LXUD8eGBGo1d2RKwSe+eW0WscH8Pp1kTw4svNL/l3B87+fYc2pPF6aGs4TY0O69LXFZRc9XOqSS2lNI6OW7Na71PLajF48NCoIgLWnc3nut7NddsyXgq2FCY+MCuKe4QHqSrwtNY0tfLk3ja/2p6sjqmf29eKlKeGiKFVERKRTpBXXMG9NLEczlDq4Xp52LJodfVluaOLyKnnnn3idGrwobzseHBnIsYxyfjmW3e3HomJsuCuPjApieIgLAE0tCh7+4YRWwXPwlfF4X4Fgt3u+Oca+5GKW3NyHW2N8u/S1xeJDDz8czuSN9ecZHODE748NM3q/BRvj+Wq/7jXDl6dG8PjYYBQKgRmfHiChoErndvaWprx1fSTO1uY0tShokiuUf7YoaJQrqG9qIb+igeOZZZzP1/0al8ITY4N5cGQgznpabAWV9Xy4LZm/TuWqRan3jwjgiXEhegsXEREREVAKSj/fk8Znu9NokiuwMJXy3MQwHhgZ2O0J3LG5lTzy4wmdSysPjAjE1dac/9uS2K3H0BEf3NKXmwf6AFDfJOfur49yotVULcjFmp0vjLnsS97TP95PfEEV394/qMunjUTNhx6KWnUUvTyNdzS9UNXAD4ezdD73+NhgHh8bTGpRDROX7m33fKibDXMG+3FDP69OK5wVCoH4gioOppawfFcq1Y0tndpfxWd70vhsjzID5pHRQe3m6T3tLfnglr7cNzyAhZsSOJRWypf70vn9RI5SlDrUv9tPIiIiIlcfR9NLmbc2lrRipaB0bLgr794Q1e2d09PZ5cz67FC7x63NZNw9LIDDaSV8c1C/wFQXwa7WjI9wax0OsEdAoKFZQX2znAb1l4LGFjn1TXJ2JBSxI+FCh6/74h9n6e2lNJG0NJPxzf2DGPTeDhpbFKSX1PL32Xxu6OfdqWP9t4iaDz10Z+fjvQ3xrDqQwaOjg3h1ei+j9nl9XRw/HmlffNwy0IclN/fhsz1pvL81Seu5+4YHcGuMb5cqmptaFJzJqeC34zn8dSr3kl9nziBfHhsTTICLdbvnBEFgd1IRCzclklpUA0CgizWvTItgcqS7KEoVERGhoq6JRZsS1SJKFxtz3pwZyXXdLCg9nlnGLV8cbvd4sKs1Mf5O6uMxhuHBzkyKdGeAnyO9WicRO0txdSOrDqTz0+Esag1MP3o7WLLl2VHYtupeSmsaGfjeDvXzZ9+cfNm6zHKFQNhrm5ErBI7O69y0pzGIyy56eG1dLD8dyeaZCaE8Pymsw+1zyuoY/+EemuXaP6L+fg78+dhwNpzLZ+6vZ7Se2/nCmMtiaV7b2MKWuEJe+OPS9CUz+3rx1LgQwj3ad4Fa5Ap+PZ7DR9uT1fbwI0NceOv63oS4iXbtIiLXIoIgsP5MPu9uiFefF24f7McrUyO61TfoZFYZN33evugIcLZCKpGQ3jrKawgXG3Nev64Xw4KcceviC255bRPfHsrkk50pereZFuXBZ3cOUBdnz/56mnVn8gG4Y4gfC2dFd+kx6aOkppGY1sInZcG0Lu9qi8WHHl784yx/nsw1WuX70p9n1RHPmsS/M4WGZgUD3t2u9fhvjwxlSNDl9/MvqWlkxe5Uvj2Y2el9J0W689S4EPrqEIZVNzTzxd40vtqfQVOLAlOZhAdHBvHMhBC90zQiIiL/PbJKa3ltXZw6CTzUzYaFs6MZFNB9IXAns8q56fP2yyveDpbkGREHb2Eq5Z3ro5jRxxNrc+X5SrWcfTSjjPLaJmoaW6hpbKG29U/13xtaqGuWE+Jqw6RIdyZFunfoT1Ld0Mxne9L4fE+azuffuC6SB1onXHYnFnH/d8fVz10u8WliYRVTl+3HydqMU69P6vLXFzUfemhoVrbGLDow5QJIL67hr1N57R6fOyEUKzMTIt/YqPX4stv6XZHCA1Rtz968NiOSvclFPPDdCaP33R5/ge3xF5jS252Xp0ZofcBsLUz535QIbo3x5e1/4tmVWMQXe9P4+0wer10XybQo0R9EROS/TLNcwVf70/l4R4rSodREyjPjQ3hkdHC3GRSezFIur7R1NHC2NqO0tqnDwuPhUYHcPthPfS7LLa/jn7P57E8t4VBqCeV1zUYfy4msck5klbNocyLBrtZMivRgUqQ7/X0d2mVu2VqY8vLUCCrqmnVO1ryzIZ6+vg4M9HdkeIgztuYmai3f2ZyKy1J8XLRW79ghu7u5xooP5UipMcmx37UmLrblqfEhxLeZRnl+Uhg39r+8oiFdyKQSxke4k7l4BnkV9by+Lk6nza8utp6/wNbzF7hnmD9zJ4RqTcf4O1vzzX2D2BF/gbf+OU9ueT1P/HyKUaEuvH1978vqWCgiInJ5OJVdzrw1sSQWVgNKncSCWdEE6tCLdQXx+VXctvIw1Q3a4npzEymNLQq9CeEAnvYWLJgVxehQV+qa5RxOK+Xbg5kcSC1RO6z+W9KKa0nbm8YXe9NwsTFnVn8v/jclol0R9ubMSI5nlql1c5o8tfoUm54ZhaO1GRN6uamXXs7nVzI9+t8nrHeEytvJ1fbKik3hmis+Wjsfph1X7KoPXFtMZVKmf7Jf/e/ZA7x5evylGbUoWhMQ/z6bx5a4Qkpq9H+4POws8HKwoJ+vI0ODnBgc6ISDlf7q1dvBkm/uG0Rzq37j9XVxRh3TD4ez+OFwFv+bEs6DIwO18hcmRrozMtSFz/YoP4D7U0qYsmwfj4wO4slx4lKMiMh/gaqGZpZsSeTno9kIAjhamfLajEhmD/Dulk5nUXUDD/9wkrM5FTqfNxTc+fCoQB4dE4xUIuGPEzks35XK2dxKnTeObTE3kWJuIkUhKBNe5QoBhSCgEDC4v5mJlJKaRr7an0FGSS0r7hygFXFhYSrj09v7c8PygzTJtY+9oLKBtafzeGBkIFOjPDSKj66zVzBETwmVg2u1+DBi2SW7tH32yhvXRZLUpihZPLtPpz6QgiAQm1fJ+jP5fG0gb6AthVUNFFY1cCq7QmuMbHyEG7fG+DIk0Eln2JypTMrdQ/25e6g/SYXVTFm2z6j3e39rEu9vTeLDW/oyq7+3usVoYSrj+UlhzO7vzVv/nGdPUjErdqex7nQ+r18XyZTe4lSMiMjViCry/q2/z1PUepG6eaAP86b3wsmIIMvO0tAs5/V1cfxxsvPTe6vuiWFCLzdOZpXz3oZ4NsUWtrvQt8XbwZKYAEcG+iu/IjzsDFqcKxQCRzPK+OloFlvjCtXO1uYyKa425uRV1LMjoYjHfjzJ53cN1LpR6+VpxyvTInhnQ3y71z2UVsIDIwMZE3bRY2NPUte7repCdYN7pcds4VorPlpUnQ/DxUdDs5zCqvbGNTcN9NESmb41M9LodU+FQmDl/nQ+2ZnSqVC6jtiVWKS1tDJnkC9jw10ZHebarhMR7mFL5uIZ5JTVMWrJbqNe/4U/zrJkayJLb+3HiFa3PoAAF2u+vW8Q2+Mv8PY/8eRV1PPYTycZE+bKW9f37rbWrIiISNeTV1HPG+vi2Nl6Lgl0sWbBrCiGB7t0sGfnUSgEVh1IZ+GmzhmAyaQSfn5oCL297Fh3Oo9pH+/X26E2kUro7WXHQH8ngt2skSsEiqoaqW1qIaGgitPZFdQ3yWloUXp41DcraGyW42ZnwaRId6ZEuuNmZ8GwYGeGBTtTVN3Ab8dy+OVYNvmVDVq+S7uTinnkx5OsvFu7ALl/RAC7k4rUIl0VOxKKaJErsDSTMTrMVZ2yW1zd2O3LIerORw9Ydrmmpl0mLt1LalENqx8eYvBDlXKhmkkfte8QrH54CHd8dVT972PzJxgVuywIAvPWxvLLMePn0LuCYUHOvDo9gmhve53diKzSWsa8v8fo14vxd2TBrOh247n1TXI+25PKl3vTaZIrY7MfHRPEE2NDjNLXiIiIXBla5Aq+O5TJ0u3J1DXJMZVJeHxMcLdF3h9KLeGOVUc73lADXydLPp7TH3MTKT8dyWbt6Vy1fk8TU5lEWTj09kAqkXAmp4LDaaUkFFbR2aucRAL9fR2Y0tuDKb091L5ILXIFu5OK+XBbUrvCZ2SIC1/dE6N1ziuubmTQgh20Zf2TI+jr66COtwf47v5BjO1ix9G23P31UfanlPDhLX25qdV5tSsRp130cFHzYfhDlaVjyeWVaRH8qTF2a2UmM7rwePuf+MteeAAcTi/l+uUHAXhuYhj3jdDOevF3tiZz8QwySmoZ98GeDl/vRFY5U5bt47YYX16YHKael7c0k/HC5HBmD/Dhzb/Psy+5mE93pbLmVB5vzoxkkmhQJiLS44jNreTVteeIy1PqDQYFOLJwVjSh7sY7QBtLTlkdEz7c2+HSiCbeDpZ8cns/MkvqeHdDPKezK3Ru5+dkRaCLNW625iQWVvPcb2faTcqEuNkwKMARRyszLExlWJrKsDCVYmEqU3+Zm0iJL6hi6/lCTmdXcKr1a9HmRCI8bLlveABzBvsxKdKdfr4O3LjiIHkV9ZhIJUglEg6klvDAd8f55r5B6gLE1dacaVEe6jR1FYfSSunr68D4iIvFxqbYgm4vPnpS5+MaKz5ap106Kj7K2hcfE3u5s3jzxTbhk+OME5m+vzWJ7w5lGn2MEglEedkzPMQZL3tLKuubqaxvpqKuufXvTVTWN5N8ob2S2hAf7Ujmox3JBLlYs/imPgwKcFQXBIEuyiIkrbiGCR+2t4lvy28ncvit1X79kdFB6hn6QBdrvr9/EFvPX+DdDcqlmEd+PMm4cOVSjL+zuBQjInKlqW1s4cNtyXx3KAOFAHYWJsyb3otbY3zbjY/+W6oamnnu1zPq5RxjcLczZ8UdAziYWsp93x5vN/0CyvBMFxtzWhQK8ivqyW5zzg50sWZokHLJZGiQk1E3igCjw1x5bEwwhZUNbI8vZOv5CxxOLyWxsJpX1sRSWNXA3AmhuNqa8/V9Mdz02SFqm+SEuFlTWNnA4fRSvjmYoXV9uK6PV7viY1t8IY+PDVa7ngLdkrLbFtW0izhqe5lpNLrz0X40K6iNhmFiL/cO32/ptiQ+02M4o0mImw3Dg50ZHuzCsCBno90CG5rlnMoqZ19KCdviC0kv7nikLL2kllu/VLoFPj8pjDuH+KnHaoNdbchcPEPvslNbPt6Zwsc7U1h+R39mRCutlSUSCVOjPBgd5sKK3ams3JfO7qRiDn20j2cmhPLwqKBu8wcQERExzI74C7yxPo781jC2G/p58dqMyC7XGrTIFXy5L71d9IQhXGzM+freGPYkFXPPN8d0auPCW7sypbVNWiO0fk5WDFMXG8542FtQ09jCudwK/jqZR3F1I6YyCTKpBBOZFBOpBBOZBFOpFJlUQoibDSNCXNQCVA97C+4eFsDdwwKoqGvimwMZfLIrlWU7UmhqUfC/KeFEeNjx6R39eej7E6QW1RDmbkPyhRr+OJHDE2OD1Td3gwId230fp7MraGr1TVFxoTV7rLuQKwTKWseVr/pR20WLFjFv3jzmzp3LsmXLgNZlhrffZuXKlZSXlzNkyBBWrFhB7969u+J4/xX1Ro7a6lp2Oa0xBiaTSghzN+xtsWp/Op/sSjW4TbCrNV/eHdPOsry+Sc7Z3AqW7UjmSHr7mOi23Bbjy/f3D8bSTMbB1BL2p5SwKbagQ2Hr0u3JLN2ezAA/B96/pa/aFj7UXSlMjc+v0hor1sdTq0/zrX8m/3dTNCFuypODlZkJ/5sSwU0DfHhj/XkOpJbw/tYk1p/JY+GsaGK60RlRREREm8LKBt76+zxbzivvwH2dLHnvxmjGhLl2+XvtTS7m3m+OGb29iVTCuidHsDuxiNtWHm6n57A0lak1F0mFVeolFTsLE2YP8GHOYF9CXG1IulDNmZwKlm5P4kxOBSlFNZ3Seng7WHLbIF9ujfHFw/5ip8TByoznJ4djZ2nKexsT+GxPGo0tCl6b0YvxEe68NiOSdzbEq7vRmaV1HM8sZ3Cg8hznZmuBv7NVu+vKmZwKBgc6EeBsRWbrc9UNzVrdkK6kuLoRhaDsrjsZsGm4XFxy8XH8+HFWrlxJnz59tB5fsmQJS5cu5bvvviMsLIz33nuPSZMmkZSUhK1t168lGkuLXHFxVKqDUdu2LTyAw2kXFct3D/U3qGFIKqzmvY0JBt9jeLAzn985UKvLUVTdwOAFOw3upwvVMogm/XwdeGFyGMkXavhkZwqV9fpd/U5lVzDhw71IJbBp7igiPJRCoUgvOzIXz+BIeilzVh4xeAwns8qZuFTp+fHMhFBsWpdiglxt+PHBwepMiOQLNdz8xeHLkgkhInKtI1cI/Hw0iyVbkqhpbEEmlfDwqCDmTgjtcjF4YWUDM5cfUOsKjOGHBwZzLreC2Z8fokmHn4epTIJUAgkFF30wBgc6cftgX0JcbdlyvoDX18URm1epU4TaGfIq6lm6PZllO5IZH+HG7YP9GBPmiklr/slDrV3bN9af5+sDGTTLFbw1szf3jwggrbiGn49edDX940SOuvgAGBLo1K74OJRWwuBAJ7wcLNXFR2JhdbdZ1sflVQLKDrdJD0gqv6Tio6amhjvvvJOvvvqK9957T/24IAgsW7aM+fPnM3v2bAC+//573N3dWb16NY8++mjXHPUlIJNKsDKTUdckp6KuSe/culwhkFuu/Utia2HCobRS9b8nRRpecukodfa2GF/emxWlDvXJr6hn+OJdxnwbRnMmp4K7v7549/H29b1JvlCt9QFpi0KAqcuUnY6Nz4ykt5c9AEODnMlYNJ0fDmfx5t/nDb7vyn3prNyXzie392dmn4tLMTf292ZsuKs6DfOXY9lsj79wWdIwRUSuRRIKqnh1TSxnWru2/XwdWDQ7ml6eXTtF2CxXsGBjQqe0bYtnR1NS08j93x03aOjVLBdolstxsjbj5oE+TIhwIy6/ilX7MzplzCWRKO3Zna3NcbQ2JaesXq9Nu0JQjsPuSCjC18mSb+4dpBbh3jMsADOZlFfXxvLD4SwkwNs3RPHKtAh+P5GjDiHdGFvAW9f3VuvhBgU4tcsJO5RWyrMTtTWINY3t9S1dxemcckA5xdMTuKTi48knn2TGjBlMnDhRq/jIyMigsLCQyZMnqx8zNzdnzJgxHDp06IoWHxKJBD8nKxILq8kuq9NrCZ5fUd8uxdbDzkKr+DBUmcoVAj8eztL7/CvTInh0dBASiQS5QuDur49qvXZ3oVk03NDPi5NZ5eSW689ImPHJAQD+fmoEfXwckEgk3Ds8gDmDfZn7yxl1+1Yfz/xymi/2pPHxnH7qD66DlRn/d3MfZg/wZt7aWNKKa3n6l9P8eTKX926MwtfJqgu+UxGRa5v6Jjkf70xh1f50WhQCtuYmvDQ1nDuG+Bs01boU9iUr9RnG8sTYYMxNZLyyJtao7UeFunBjP28EYMO5fFbuS9e7rVQCMf5OjAx1wc/JChcbc1xslQWHk7VZu++9qLqBM9kVnMlRfp3LrWx38c8pq+eeb47x1+PD8WrNXpkz2A8zEykv/HGW7w9ncd+IQAJdrBkW7KL27KhrkrMxtoBbY3wBGBLYPvdLFdOhqUE0xgDzUlEVof392mtQrgSdLj5+/fVXTp06xfHjx9s9V1iovCC5u2t3Btzd3cnK0n1BbmxspLHxYpuuqqr7bGZ9W4uPHB3LKirydVTDHvYWpGj49BsSTB5OK1VrS9ryvynhPDYmGFAa7QTP22TsoXcp61stfUHZwjyWoV9XohrV/evx4Qz0d8TcRMYXdw/UimbWR3xBFZM+2seDIwN5blKYeilmSJAzm+aO4os96azYncre5GImfbSXZyeG8eDIwC6PeRYRuVbYm1zMa+tiySlTnsemRXnw1vW9ce/iGPni6kbGf7hH5ySKLiZEuBHpZccXe9Pa3dy1xcxEym0xvkR523Eis5wX/jird1tvB0tGh7ngbmdBTlk9WaW1fH8o02AOjLeDJY+MDmJipDuTe3swubcHoLxx3B5fyEt/nqNK4/sqqGzg3m+O8cdjw9SRFrMH+PD32Xz2JBXz6/FsXp3Wi0mR7uriA+DPE7nq4sPXqX1onKrQ0So+jIj+uBTkCoGzOcpll/5+Dt3yHp2lU99pTk4Oc+fO5aeffsLCQv8vc9sWuiAIetvqixYtwt7eXv3l6+vbmUPqFH6td9a6NB0qdBUWnfng/npc97KGrYUJ9w4PUP876AoVHm1RFR6qwkAfN31+iIBXNqq3d7ExJ3PxDDY9M6rD9/j6QAZRb25l/Zk8VJ525iYy5k4MZfOzoxgW5ExDs4LFmxOZ+ekBTmeX/8vvSkTk2qK4upFnfjnNvd8cI6esHi97C1bdE8Pndw3s0sJDrhBYtDmBQQt2GFV4OFubMX96LxIKqvh0V6rBwsPCVMrtg/24f0QAuxKLePmvWJ3W66PDXHloZCDjI9zIq6jnl2M5LNuRwl+ncjmRVW6w8ACltuPNv88zYvEuAl7ZSMArG/mmNepiapQnm+aOaneBTimq4cHvT1CvIeK/fbAfAH+dzKWpRcGkNhOQxzLLyGydyJFIJAS76rYasDS7eM3pDmM3gNSiGmoaW7AykxHWDT4ul0KnOh8nT56kqKiIgQMHqh+Ty+Xs27eP5cuXk5SkHKsqLCzE0/NiQl9RUVG7boiKV199leeff17976qqqm4rQIwpPjRNuAw9pou6phY2nCvQ+dydQ/zVF/h3dfj9G+KOIX709rLDzdYCN1tzXG3NcbExVxdKlXXNpBbXkFZcQ8qFao6klxHbKi4yFmPXGlVjulueVQpTI73syFg0nT9O5PLSX+cM7jv31zN8uTedZXP6qT8Awa42rH54CH+dymPBxngSC6uZ/fkh7h7qz4tTwrHrJuW3iMh/AYVC4PcTOSzclEBVQwtSCdw3PJAXJoep9QZdxYnMMm7+4rDR2781M5KNsQUs2GRYfG9lJuO6Pp6YyqT8cSJXpxGZj6MldhamJBZWsS+5WKvD0BW8syGeBZsSOD5/Ij6OVvz+6DA+2JbEl3svLvOczCrnqdWn+PLugZjIpIyPcMPV1pzi6kZ2JFxgerQnfXzsOZd78dz7z9l8np4QCsC4cDfSitvneVmaaofSdQdnWvUefXzsu3zp7VLp1G/nhAkTiI3VXqu7//77iYiI4OWXXyYoKAgPDw+2b99O//79AWhqamLv3r383//9n87XNDc3x9z88swcXyw+9GsddBUatUZemLfq0UGYyiTcPyIAgMTCKqMD5V6cHMZ9IwI77ErYW5mqw5I0aWyRk1RYzfJdqWyLv2DUexrL1GX7cbQyZeuzo3Gzs+DWQb7MGuDN4z+dZEeCfkOh+IIqJn+0j4dGBvJs61KMRCLh5oE+jI9wY8HGBP46lcsPh7PYElfIW9f3ZlqUhyhIFRFpQ2pRNfPWxHEsU9mNjPK2Y9GsPkT72Hfp+5TXNjFn5RGSLujOUWnLsxNDyS6r461/DN9k2ZibMDnSHbkgtBNjtkWpT9N/3u4K5AqBAe9uVy8xvzqtF0MDnXly9Sm1bcHOxCIWbErgzZm9MZVJuTXGhxW70/jlWDbToz2Z1Mtdq/jQ1NVpju9qYnkZll1U7rA9Re8BnSw+bG1tiYqK0nrM2toaZ2dn9ePPPvssCxcuJDQ0lNDQUBYuXIiVlRV33HFH1x31JaISNOaU1eldCtJVfGhqEEwMVI0rdus2FLuxn7e69amaJjHEU+NCeHh0kNEdF32Ym8jo4+PAyntiAOXJ6tdjOazqRJquIcrrmhm8cCdTe3uw9La+WJmZsOreQVTUNdHvne0G9111IINVBzL46p4Y9fSQk7UZH97al5sGeDN/XRwZJbU88fMpJkS48fYNvfFxFAWpIiINzXI+253K5636CSszZdL0fcMDunSEUqEQ+Gp/Oos2GxcANy7clQhPO5btSDG4nZ2FCaNCXWlskbPmdF67581NpDTqGLvtCsxk0g4t3m/6/BBPjA3mf1PCGRfhxqOjg/loR7L6+Z+PZvP8pDBsLUy5LcaPFbvTOJBaQk5ZHZN6u/Ph9ovbltVdXALS13HQvL50l+BUXXz0kEkX6KTmwxheeuklnn32WZ544gliYmLIy8tj27ZtV9TjQ4WPo1L0U9PYQnmdbt8LE5m0XafBUcOLwtNBd/Va1dBMapFuy/NHRgcB8NKf+oVToCxsjs+fyItTwv914aGLEDdbXrsukszFM9j3v3E8PymsS153y/lCIt/Yyhd705ArBByszMhcPIO/Hh/W4b4P/3CCB747TmHlxRTh4SEubJ47imfGh2Aqk7AzsYjJH+3jmwMZBsfyRET+6xxKK2H6x/v5pFU/MSHCjW3PjeahUUFdWngkFFQRNG+T0YXHsxNDOZRWyucGHJ0drEwZH+FGL087NsYW6O2QdlfhAWgVHm6ty9e6+GxPGsMW7UKuEHhoVKCWHXlTi4Kt55WdZD9nK0aGuCAI8NvxHMLdbbXEpeUd6E9AOQasojuWXaobmkkuUnat+vUQsSl0QfGxZ88etbspKIU1b731FgUFBTQ0NLB379523ZIrhYWpDI/WDkRndB9WGsWIp3171TJAkR5r3AkRboS62yIY0Vpc88TwTtneFlc3sj+lmJ0JF1h3Oo9lO5L5cm8aPx7J4ruDGaw9nUvyhWpadFT6fs5WPDMhlMzFMzj4ynhGhLQfBessizcnEjxvE7tbcxwG+juRvnA69w7zN7jfrsQihi7ayQ+HM9XFhYWpjOcnh7N57igGBThS1yTnnQ3x3PT5IZKNbP+KiPxXKK9t4sU/znLHV0dJL6nFzdacz+4cwKp7Y7q0I9jQLOfRH08w7eOOO7QA9w0PINzdlmU7UvQWDWYmUgYHOOFpb8muxCKOGpiuu1Q0ly4kEmUcxrhwV54YG8wLk8IYrMMeoai6kZKaRkaHueocNCisauC7Q5lYm5swt1W3oeLvsxcnBlXC0z9bxbEx/hffS7Pzoc9tVbMDb94N0ROxuZUIgnLKx9iMm8vBNZXtAkrdR2FVA9lldfTT04KyszTVMqCpbrjYJdFXHFTW665wJ7YuKWj+suri3Rt608dH9/Fo0tAs5++zSrdQY8fcVKii7idHehDmYaN2evV2sOTnh4ZS3yTnm4MZncpj0MX93ynHsLc/N5pQd1veviGKuRPDGPCu4aWYN9af5/M9aXxz3yC1EVKImy2/PTKM1ceyWbw5kTM5Fcz4ZD+Pjw3hyXHBHbrViohczQiCwNrTeby3MYGy2iYkErhriD//m9r1YuxdiRd44LsTRm07NMgJS1NZh8Zivb3sUAiodSndhaa9gSAoM6zSS2rZnXRRmPrQyEDC3G3ZlVjEtvhCtU37vuRinK3NiAy0Y39KidbrvrshnjuH+DFnsB+rDmSoXUoPppZQXN2Iq605Y8OVFvWFVQ3qiRIVmp0PfT1bVdgb0OXBfnAxGqSnjNiquOYMFTR1H/pwaNP5qNCzRKNJea3ubXxb70rm/npG774Te7lx11DD3YGzORU8+uMJIl7fwkt/nut04QHKluOnu1KZufwA4a9tIeCVjXy8I4WiauWSh6WZjCfHhZCxaDrf3j+o06/flkkf7WPKR/sorm7EyVq5FPPTg0MM7lNQ2cC0j/ezaFOCeqxNKpVw11B/djw/hom93GmWC3yyM4UZnxzgZFb3ntRERK4UGSW13PX1UZ7//SxltU2Eu9vy52PDeffGqC4tPMprm4h5b4fRhcetMT4cSS/TurC3xc/JiggPW87nV2lZo19JVh3I4KW/zlFW18ThVydwn4b1QWltE/tTSjDTsXT14bYkTGVSXpwcrn5MrhDYFKucbLQ2N8G6teAoqWnS6sJU1Deru7mCjtaHIAh6l+u7CpV1QU8Sm8I1WHyoJ150hMepaLvsotmSq9Mz+VKhJztFl7lMW5bN6a93mkMQBJZuS+KGFQfV64xdyUc7khm8YCcBr2zkxT/Ott5dSRgX7kbm4hnseH4MQwL1O7p2RNKFagYt2MHizYm0yBWMDHUhdcE0ZkR7Gtzvy33p9Hpji1bMtIe9BV/dM5AVdwzAxcaM1CJlTsyb6+O61ZZYRORy0tSiYPmuFKYs28fB1FLMTaS8NDWcDc+MbDfR9m8QBIFV+9Pp/+52rbtvfdwW44u3g6XB5WMXGzOCXa3JLqsjsbBnLo8eyyhjyMKdDPB35LUZvbSe0yVG/Wp/BjWNLcyI9tSypl9/5qJYVtURL65u1Op8CAJU1OnXfSgESLnQfcWHIAhqsam+Tv+V4torPpyVxUBnNB+ZGtHNBRrCSE10/YJJJEqNiKFfvk9u7693lFYQBP7357kO03G7ij9P5jLg3e0EvLKRr/alU9XQTIibDb89Ooyzb0xmVn/vS37tL/amETJ/M4fSSjCRSVlx5wCOvDqhw/3u/eYYj/xwQh1WJZFImNHHkx3Pj+GWgT4IAnx/OIvJS/eqtSYiIlcrJzLLuO7T/XywLZmmFgWjQl3Y/twYnhgb0qXOv9mldQS+uqnDAEyAvr4OTI5057cTOXrzUKzMZPg4WlJS00Raca3ObS4HYe42zOzrxeNjg3lmfAhvX9+bkSEuOrd95pfT/HOugM/uHKDV8ejt1T775rnfziCVShgRfFEbdyq7Qt1BVwlXi6sbsWgT2Fdu4PwvCAKFVbqvKV1Bbnk9pbVNmMokOr+vK8m1V3wYYzTWJmn1eOZFx01d9usAZTpUzZ52FpiZSA0uuYwJ1R1pLQgCsz8/pBYxXW4WbEqgz1vbiHlvB7G5ldhbmfLRbf2Ie3sKM/oY7loY4o6vjhLx+mZKaxrxsLcgc/EMlt7a1+A+2+IvMGjBDn49lo2itYXpYGXG+7f05acHh+DrZEl+ZQP3f3ecub+eptSIuzgRkZ5EZX0zr66J5eYvDpN8oQZnazM+ntOPHx4YjJ9z1wlKW+QK5q2NZfT7u43a/p5h/pzNqdDrE2QileBiY05dk9xgVtTlIvlCDf+czefzPWl8siuVN/8+j4OVKbteGMMLOqb7zuZU8OvxHFY/fHE5+Hx+VbsO0/b4C1TUNRHmoT21uSNB+XNRdT5Kahq1ll0AylqX5HUJTjWH97pDbHqqdckl0su+2wzMLpVrrvhQaT4KKut1RjhD+86HZku/So/WQtcEhk/re+3V48YX6WmnM1JeEATmr4tTt8uuJCU1jcxcfoCAVzay+mg2VqYyVtwxgLNvTGZChNslvWZDs4KB7+3gg61JyBUCswf4kPTeVHVhqI9X1sQy9eN9WmukI0Nd2PrsaB4eFYhUosytmbh0L2tP5+pcYxUR6UkIgsA/Z/OZ8OFefjmmjGaYM8iXnS+M4YZ+3l1qrnc6u5yQ+ZtZbSDZWsX1fb0IcrXmBwMhmY5Wpghg1JLNlWTDuQLGf7iX/Mp6dr84ltFh2jd8+5KL+ftsPs9OvDjRkqVjWf6zPWlEtCk+ilo7svqWXeDijamgQ3KqedMa6q477PTf0BP9PVRcc8WHq405FqZSFIL+LsaleGzE5bUXVal8RfRxXV/dHYQfDmcZdYLQJMLDlvnTe/H9A4OZNz2C6/t60c/XAWdrMyQSZeLjv2Xe2liC5m3i1TWxmJtK+fq+QZx4bSJDgy5NE7J8dyrB8zZxKrsccxMZ+14ax47nRxvcJ/lCDROX7mX5rhSaW9dnrcxMmD8jkrVPjCDCw5byumae++0s9317nNxy/R0uEZErSU5ZHfd/d5ynfzlNSU0jwa7W/PbIUBbf1EcdYNYV1Da2MGflYWZ9dqjDbW0tTJgW5cHfZ/NJ17N8YmEqxdbChPK65qvKd+eXYzlMWrqX4cHOfHHXQK3nfjicxfBgF7WJpK6C6s+TuYS62Wr5cqiGEVTLLiU1je06DKpll8bm9je7BZUXr0Hh7l2/LHKmh066wDVYfEgkkg6XXi6l+NC1bufraKVeJtDFuPD2nYMWuYI3/z5v1Hs6WJny4MhANjw9kodGBbFgUwL3fnOMhZsS+ftsPmdyKiitbUIQtNt7/5ZfjmUT8foW7lp1FEGAXx8ZxpFXJ9D3Eqvr2Z8dYuT/7aKirokQN1syFk3n7g6mfz7Ylky/t7cRq2Fl3NfXgX+eHsn/poRjZiJlb3Ixkz/ax7cHRXMykZ5Ds1zBl3vTmPzRPvYkFWMmk/LcxDA2zR3FkKB/77ejyZa4Anq/uZUj6R1PhV3Xx5PqhhY2x+mOiZBKlNqOhmbFJU3b9QRaFAKLNyfS2CJnamuarYpbvzysNQHTlrLaJizNZPhrdGhVFgvanQ9tDZ+VehJGu6AJd7fVWqrq5dm1RpyNLXLi85U3xf19e9akC1yDxQd0rPtw0LEUoomxFzIfR0ut+fO2tG3hAUZnsNw+2Jej8yagEASu+/QALxqIne4uDqSWMGjBDkYt2YVCEFj/5Aj2/W8cdhadt4/JLa+n3zvb+XJvGoIA794YxfH5Ew3uU9skZ+byAyzalEBD68/ZVCblyXEhbJ47isEBTtQ1yXn7n3hu/kI0JxO58hxNL2X6x/tZtDmR+mY5Q4Oc2PzsKOZODO1Sz5ry2iaGLtzJYz+d6nDbCA9benna6Q3FBKVHkEJAnXFytTP31zM808Y4DJQW6KYy/W1ihULQSoVVdT5cVYJTHZoPlbFXarH2VEuEpy05Gp3ZcB3Xg3/D+fwqmuQKnK3NjJq6vNxck8WHv7My2jhFz8Uo0EV39LGKC0aqk93sLPSqw4cGOelcz33i545PFvePCODlqRGEv7aFbw9mGnUs3UlOWT3DF+9izPu7sTKXce6tKfz91IhLeq1FmxMJmreJxMIqXG3NyVw8g4Wzog3u8+W+dCJe38KR9FL1Y8GuNvz6yFAWzIrC1tyE09lKc7Kl25NpbPlvnEBFrh5Kahp5/vcz3LbyCClFSkHpB7f05ZeHhxLs2nVr/YIgsPpoNv3f3W7UFMW0KA8SC6s79OLoKA/lauT2r46w58WxWo99uS+dmwfqT1XPLa/XumlUL7todD4s22g+3OyUzx1OK9V6PMrLnlSNMduuLj4uhsk59Mhgzmuy+BjQaraiz+bX28FSK8+lLboMynRVlnWNLXpFrbrGVlOLOr4zf3JcMPcND+gwuO1KkFVaR8x7O5i4dC/+ztZkLJreYeGgj6nL9nPvN8dobJFzxxA/4t6e0uE+c1Ye4eU/z1HV6kgrlUq4c4g/20VzMpErhFwh8OORLMZ/sIc1p/KQSODOIX7sfGEMNw/06dKLQlFVA4GvbmLe2tgOtx0R4oyXvYXeJZZrgcr6Zt7+5zxPjA3WenxalIeePeB4ZhnhHhe1GZWt/k4qrUiLQmgndFeFirZtmAe5WrMr6aI9gKuenJlLRaX36Gn+HiquyeJjcKtpVtKFaj3+HBKivPXHUutargl3b1+1VjU0q38522Ktw9tjQQcz94+NCWZWfx/GvL/H4Ha6iPS0I9DFmstRAKcW1dD37W08+P0JZvX3JvHdqZfkEbI3uZjw17awL7kYG3MTMhfP4IcHBhvc57cTOfR5axs7Ey4uX4nmZCJXgnO5Fcz67CCvr4ujqqGFKG871j4xggWzortUUCoIAst3pTB44U6jtp/a24ODqaXk6/Es+i+hy7FUk91Jxe063YbiJdadyVN3MuCiv5NKz+FiY67V7bYyk2FjbqJzqT7QxVrdOZFJJV3eneipzqYqrrlsF1CKg4JcrUkvruVYRhmTe7evdKO97dv5/KtIL2mvAvdzar9UU1nfjLmJ7jG0tuuCdU0tBu2KbcxNeGhUIDHv7dC7jQpXW3NmD/Cmv68D/Xwd8bDXHybU1KLgfH4lxzPL+GxPmlFW8sayK7GIXm9s4f4RASy5uQ+vTItgxicHOj2ad883x3CxMWfXi2MYHeZK8nvTmPHJflIM2BI/+P0JpvR2Z+GsaJxtzNXmZCNCnFmwMYE/Tuby/eEstsdfYMGsaMZd4tiwiEhbKuub+WBrEj8dzUIQwNbchP9NDefOIf56Y9UvlZyyOkYtMc6zY3q0BzsTithy/trpdhizXKSySVcRm1eJr5MlOWXtl8z3p5SoU8pBqTtralFQUqMsQlxszLREpG6tyzG6pu68NaYhJ/bq2vNPUXUDueX1SCTQx0f/jfSV5JosPgCGBDqTXlzLUQPFhz40tQUqPOzbt8z0dT2gffHRkb//nUP9eOefeIPbALx+XST3DQ8w+iRnZiKlv58j/f0ceWR0MAqFQGpxDccyynh3Q3yXxFt/ezCTbw9m8tbMSI7Pn8DJrHJu/uJwp16jpKaRPm9t4/2b+3BLjC/bnx9DfH4V0z/Rn7659fwFtp6/wMdz+nF9Xy8kEonanOyGft7MWxtLduu44w39vHjjukicu7j1KXLtoAqBW7gpQX0xmtXfm1enR3R5mqhCIfB/WxL5cl96h9vaWZgw0N+RTbHXTtHRGXYnFfPI6CBWavwsw93tdBYf0H5ktqK+SW1s6GJjrl18tC65pBW3P79renyM1TH5+G8406r3CHOzxbaLAwi7imu2+Bga5MQvx7I5mtG+kAAMLrvoMv9SretpUlnfTLNc92RMWwvejtwBr4v2YubyA3qfHxLoxPs399Xphljb2ML2+Av8eCSLk1nlOvZWIpXA7AE+TIp0Z2SIC/HvTKW+Wc6m2AJe+vOcweMzhrf+ieetf+L56/HhpC+czqoD6SzclNip1/jfn+f435/nODZvApFedqQvnM6Tq08ZXLue++sZfjmWzdJb++HloLzbUJmTfbQjmVX701l/Jp99ycW8MTOSG7vY3Enkv0/KhWpeWxen1pEFu1rz7o1RDA/Wbe39b0gtqmbi0n1GbXtdH082nCsw2FW9VpBK9FsOeLbpDmeV6reIb2gjWK9paNFYdjEjSUNEqup86PJM0SxuIj271uOjp+s94BouPoYEKufp4/OrqGpobpcS2ZFBWFt0Fx8tOFjqXttt2/k4p+FX0ZZZ/b159rfTep+/c4gf790YpXXBbJEr2JNUzKtrY9W5KB2hEJRGOm0t3R8dHcSxeRNoUQj8fDSLFbvTjHo9fdz0+SEkEjg+fyJ3DvHntpWHdZq0GWLwwp08NzGMp8eH8PldAztsPx9JL2P44l0smh3NnEG+SCQSLM1kzJvei+v6ePLSn+dILKzmud/Osu50PgtmReHj2HW21iL/TeqaWvhkZyqr9qfTohCwMJXyzIRQHhoZpBVI2RU0yxW8vi6OX4/ndLitp70FHvYWBsdnrzUMOSQcajOJYmhJt6FN58PJ2kxj2cWcnRoZU6qOV9u8m9n9vTnbWiAAWuO7XcHBVKVkoCuDCLuaa1JwCkoRor+zFQoBTma27wZIJBJGheq/a2lo49+hr/PhaG1c8aGZkNiWO4f46Q1rcrczZ/6MXlqFR3F1IyP/bzcPaQSy/Ru+3JfO4IU7Gb54F0VVjex4fjTrnxyBs57vzRgEAWLe28Era2JZ98QI1j3Z+dHcj3YkEzRvE2nFNfg6WZGxaDr3DjNsTvbqmlhmfXZIaw22j49oTibSOQRBYOv5QiZ+uJcv9qbRohCYFOnOjueVIXBdXXjE5VUSOn+zUYXHlN7uFFQ29Ih4hsuJh45zsLFsN9JfCdAa1TczkWJvaarufDhZm5Gn0cV2bxWnahYaAAMDHLVu8tqO5/4bLlQ1cDa3EokExkbozg7rCVyzxQegjoo/cglLL20FRO527bUCpTWNuNjoKT7a/LLpS8sF3RoTFSvuGKDlqJdWXMOgBTu6LSnxj5O5TFy6jxtWHGRCLzc2zx3VLiuhM/xzNp+Q+ZvJLa8jbeF0Hh4V2OnXmPDhXl768yxyhcDbN0R1mJZ7JqeCkf+3m5+OZKkdaLXMyQJFczIR/WSX1vHg9yd49MeT5Fc24ONoyap7Yvjqnpgu75Y1tSh4cvUprvtU/5KrimBXa3p52rH1vPEX0v8ShVUNl8VMS7Pz4W6nFLOrOh8SiURLJ6eajIlv46MS6GJNUjedV1SFVD9fhy7XGnUl13jxoVx6OarHejjKS3/x0TZ4qK2lLihFpPoMhIxNGIz2tueDbck6n3tkdBAxARdzVY5llDHhw71GvW5X8PuJXKZ9vJ99ycWsuieGh0Z2vnBQ8dTq0wTP28Q9wwI4Nm9Cp6cCfj+RS8j8zSQVVuNhb0HGount5vfb8tq6OGYuP6Dl2xLsasOvD7c3J/t4R4pezxaRa4P6JjlLtycz8aO97EoswlQm4alxIWx/bgwTI927/P3O5lQQ9tpmNhqxdDKzrxdpxbUdmoX919EnEjUGQ86mmmh2PtxbL+6qzkfbjribrYXOwQNNT487hvh1+lgNoSo+JnXD72RXcm0XH62BaLF5ldTq8HswNPHyy7GO25+NLQq9cdgdzZ+r8DcQp/28RkR0QkEVt37ZuQmSruShH06w6kAGz04M5dVpEZf8OqOW7Gbe2lgS3pnK8jv6d3r/Kcv28eyvp5ErBF6aGsGx+Ya7IOfzqxi1ZDffH8pUd0F0mZN9tCOZ65cfaNc+FfnvIwgCW+IKmbh0L5/sVBahI0Kc2Tx3NC9OCe/SljkoL24P/3CCG1Yc7HDbKG87envZ8c/Z/C49hqudSxlpNtbkS7vzYYFCIagnV9ovx5uTrmPSRdNWfbSB5f3OUtPYonZSnSwWHz0XH0crvB0skSsEnVMgvk6W2OrJKdmRYFxr01aHmRhohwwZGsl11GNGNLGXu1b35PnfL3+2iy6W7Uhh0eZERoW6MG/6pRUhOxKKCHttM1ZmMhLemWpQe6OLdWfy1V0QN1tlF0SzUNPFm3+fZ8qyfWRqeLiozMk+vb0/ztZmJBZWM+uzgyzclED9fyTjQsQwacU13PPNMR776SR5FfV42Vvw+Z0D+OnBIYS4dX0E+qnscsJf22KUBmH2AG/i8qo4n//f73b09XXgxn5eRidoyxUC1p0sCq30nKvb0qhRYLjZmVNRfzHdV7P4kEjAw96ynV7P3c5cK+hP0zH137I3qZgmuYJAF+sute3vDq7p4gMu6j50jdxKJJJOGbTE6FAWq9YC26I5WttswAgnqVD3uuCY8Is6i5NZ5T2u3bo/pYSFmxIJdbMxmBRpiAe+O0GvN7aw/I4BbHh6ZKf3n7JsH8//fga5QuCZCaGcfM1wUF1KUQ1jP9jDNwcy1F0QiUTCzL5ebH9+DLP6e6MQYOW+dKZ9vM+gFkfk6qa2sYVFmxOYumwf+1NKMJNJeXp8CDteGMO0aM8uH8VubJHz0PfHmW1E7P1Af0eivO1Yc0q/SP1qwtxESri7LVN6u3P7YF9m9PFkVKgLfX0d1K7MZ3MqWHcmn9PZFVzf14uJvTq+q6/t5A1CW1t0fWgWGO52FuobSQcrUy2tXaibDTbmJuzWsFAHGBrkzB8nLnbO/Zy6Tie0PV5pOTAp0r3H2wVcs6O2KoYEObHmdJ5+3Ye3PQdTdV9kcsvrtARmQ4KcONGmg3I+X/cIraYFr77uCsCFat3C0TGhF4uPmz7v+ISli1sG+jChlxsxAU642JgjCAItCoEWuUBTi4L8ynpOZJbx6/GcS767SimqIaWohl6ednjaW7ArsajjndrQ9+1t/G9KOOkLp/Pa+jhWH802et81p/JYcyqPbc+NJszdlszFM/hsTypLtui3UH5nQzw/H83iq3tiCGq9e3CyNuOj2/oxs68n89fGkVlax5yVR7hziB+vTIvosUY+Ip1DEAT+OVfAgo3xXKhSXlTGR7jxxnWRBHQQOHmpnMwqN/ozfMtAH/5oMwp/NWEmkzIkyImx4W6Eu9tiaSajRa6gtqkFBysznK3NcLI2w8bcRH3xLKxsYO3pPP46lUtqUQ1/n80nyNWaRbOjeXVNxzk2xqIv5VwTiUR7O3e7i3bqrjbmWpMuqgyxtpqdfr4OrD+jXCZzsjbrMtfbZrlCfX7t6XoPEIsPtej0bG4F9U3yduu3hnQfuxKLuGdYgMa2Du220XfR1hQ5GorSLtQzBaPSkhxK1W0Bb4j1T46gb6v5TG1jC/tTikkrriWjRPmlNNiRqE8EAc7WDPBzxNtRuQy1L7m404r6hIIqEgqqiPS0o66phczSjj/omry/NYn3tyax/6VxPDQykPGdFNZO/mgfNw/0YfHsaJ4YG8Ltg/zo/67+cL604lrGf7iXedMjeHBkkPoEMT7CnW3PObF4cyI/H83m56PZ7EosYsGsKMZH9PwPvIh+EgureHP9ebVRmJ+TFW/OjGSCEXfZl0JDs5wnfz6l5Quhj36+DjTLFVdl4eFhZ8GQICfMZFKSi2rYn1KiN7pCEzOZlHdv7M31fb15fGwwj40J4mRWOc/8cpr04lo+3JbMF3cN4LGfOk4CNwZ9hpCa2FmYkqxhIuZua6G+4Yz0siMu7+LNZn8/B52voWmzMPsSMq/0cTyjjKqGFpytzdSFT0/mmi8+/J2tcLcz50JVI6dzyts5EhoqPj7ekaJVfAzwd2i3Tawe87DjmcalquqyN79TQx390Q7dkzC6eHxsMM9ODMXcREZ1QzM/HM5i1f50yvXkuRjKYBkV6oKTtRn7kov17q8L1chZHx97g8Zqet93yW5uHuhD6oJp/N+WRL7an2H0vioDNc0uyIrdqQaDpBZuSuT3E7l8dU+MOoDK1sKUBbOiua6PF6+sOUdWaR0PfHeCG/t58cbM3jj9C/8TkctPZX0zy3Yk88PhLOStRmFPjg3h4dFBRk+ldZaTWWXc9LlxAvHZA7yvuiUWKzMZYe62VNY3k1FSq77T7wxNcgUv/xXLy3/FMj3ag1en9SImwIm1T47gvm+Pk1BQxXO/nWV2f2/WnL48Px8/JytiNQoMNzsLtQg90MVa6/sc4OeoMwFdM9Dv39gUtGVbq05ofIRbl2cIdQfXvOZDIpEYHLn1c7LSuyxSWqut59A1U30iq4wxOn7B2jrqdQbNFMbjOgzSdLHstn68PDUCE6mUFbtTGfl/u3l/a1KnCgdN9qeUsP5MPuV1zUglMCzIuVP7qwqPzopJQVlEhMzfzPV9vdn/0rhO7z/5o33MXxuLQiHw5LgQjs83rAVJLaph3Ad7tCZiAIYFO7Nl7mgeGR2EVKIUuk5aupd/zuYbvX4scuVQKAT+OJHDhA/38O3BTOQKgWlRHux4fgxPTwjtlsJDpe0wpvDo7+dAfz+Hq6rwUBXedU1yzuRUkKEjhPNS2BRbyKgluzmTU4G7nQW/PzqUESHO1DfLdeamdBdtRcZuduZqK/MWjc6JrbkJwa427fQegwOc+PlI1sV/BxonoO0IQRCumhFbFdd88QEXR271iU4N+eMXtTHz6ttm25KaJib37tpfBtXSUHWDcYXDmDBXbuzvjSAIvLE+jve3JhmcsOksCgEOX6L4UtV+vZTkxZnLD/D6+jhSFkzjmQmhndr356PZBM3bRE5ZHa625mQsms6T4wz7grz593muX3FAy2BOZdG+9okRRHjYUlrbxNO/nObhH05yoZuM3kT+PbG5ldz0xSH+9+c5SmqaCHa15scHB/P5XQO7zVb/bE4F4a9tYUdCx8ssdw7x43R2xVXhUqp5l11Wq1tg31XcuOIgW+IKsLUw5aPb+mFpKuNsbiUvTjY8zdZVaLo625ibUFnXTGltE6YyCTUadg39/ByQSiV8uVc7+O+mgd7qm1YfR8suK3ATCqrJq6jHwlTKqNCe62qqiVh8cFH3cTq7QstARoWuzoWKIxna3ZIb+3m128Zdj8uc4hKtu61ai494I0Wgn7b6ZXywLYmfOyHWvJxcyhIMwJ6kYkLnb2ZChBuHXhnf6f1HLdnNpztTAPjflIgO3VHj8qoY+X+7+fVYtlZ3o6+vA38/NZLnJoZhKpOwI+ECE5fubbedyJWlpKaRV9ec4/oVBzidXYG1mYx50yPYPHd0t520m+UKnlp9yijfjj4+9owOc+2xn1NdXO4Igsd+OsXm2ALcbC14sNXYcN0lLOtcCprL4H187DmbWwFAL087zrX+HaC/nyOCIGgNFgBYa4zzXuoUoC5UXY+RIa5d7jvTXYjFB0pbYhcbMxpbFJzNaX8RNCQ4W300S+vfuoJ89LUFDWkqDKESLG0zwgtg5d0DsbMw5esDGf86EO5y4WDV+cmRG1Yc5OW/zpG6YBrPTezcXdCH25MJfHUTJTWNanfUezrIiHllTSy3fXlEq7thZiJl7sRQNjw9ir6+DlQ3tPDKmljuXHWU7E4KbEW6lqYWBav2pzPu/T38ciwHQYAb+nmx68WxPDI6uMuzWFQkFFQROn+zUQFvD4wI5FxuJfuS//sJtB52ymwtBytTLkWe8PjPp6hpbOGRMUE4WJmSWlRzSeeNzpKqETg3wM9RHV0f7m6rpQXp7+egM5wuWcM6YWy4W5cd1/YE5YhtTzcW00QsPlAurajW3o7qWD4IdLHW0llocqSNTqSXjmhkzV9KTXI1qmJDwta2WLZaua8zQmQ1JtyVoqoGFm9OMPr1w9xtWDArio/n9GPe9AjuGx7A1N4ejAxxIcy9+41rKlp1KJ0NitqfUkLI/M1MjHTjwMud14LEvLeDP0/mIpFIeOeGqA71JMcyyxiycCfrTudpdTfCPWxZ8/hwXpvRCwtTKYfSSpmybB9fHxCD6q4EuxOLmLpsH+9tTKC6sYUobzv+fGwYH8/przMQsiuQKwReXXOOaR/v73DbCA9bZkR78s1B48XTVzuFVQ1kldZRUdfMrP4+/PTgEH59ZCi3D/bDzoD1gCYLNiZgZ2HKw6OCAGVYZXejmfPU389B3fkQ0J6W6e/roE6WVTEmzJVPdqWq/x3s2jWj2/kV9cTlVSGRwPheXVfQdDdi8dHK0FbBpL4RsPER+v9TNdc5TXXYpm+M1X3Xo1lFR3dC86BadmkreG1LpKcd5iYyfjqSZdQY2V+PD+PQK+OZ2MudD7clM/fXMyzclMh3hzLZcr6QA6klWmNm3c2lhuPN+OQAizYnkrpgGncN7Vxuwot/nCX6ra1UNzTj62RF+sLpzOjjaXCfZ387w/3fHdfqZMmkEh4aFcTWZ0czLEgpjHt3Qzw3fS4G1V0u0opruP/bY9z/3XHSS2pxsTFjyU19+PvJkVqZSF1NRkktwfM2GRXB8OiYILJK6/SeI64F/jqVy11fH2XOyiPkVdSz8ZlRLJod3WE36pdj2ZTXNjEiRCla7+7lTZWmS0W0j736xlLTKDLI1RoHK7N2QuGbBvqo/97Xx77LTMBUbtsD/RxxMdIivicgFh+tqJZWjmeVtRORAkwwUHwca6P7mNJGYCoIMC68/XqypvnMwE7MZVsaKVJ6dEwQDc3yDteP7xrqx7H5E/j2YCajluzmsz1plNU2YWtuQi9POyZEuDG1twf9/Ry6rT3dEfps6vWx8VwBIfM3c9/wADbPHdWpfasbWoh+axt7k4uRSiWsuGMAO18YY3CfPUnFxLy3gy1x2hcRf2drVj88hEWzo7E1N+FMjjKoTpURItL1VNY38+6GeKZ8tI/dScWYyiQ8OjqI3S+O5dZBvki7aQxRoRBYtDmBcR/s6XBbdztzbh7ow5d706lvFq36VexLLmbUkt3YmJvw+6PDcLM1fDH9eGcKvTxtMZVJqGpon8/VlQRrTLoEulhTXN1IQ7MCW3MTrRuP/r6OtMgV7Tre9pYXl4UeGW1Y3N4ZrrYpFxVi8dGKt4Ml/f0cEATYHFfY7nlDd0o/t9F9zOrv026bmX3bC1H3aqzt9vY23t9fl/eHLsaGu/H32XyDHZJ7hvnz9PhQ7l51jA3nCpArBIYFObPstn68NDUcE6mEPcnFbDlfyOnsiit2wazWEfxnDBOX7uPPk7kkvzfNYPdKF/d+c4ybPj9EQ7OcYFcb0hZO16np0eSxn07x5M+nqKi7+DOXSCTcPtiPbc+PZkKEG81ygaXblUF1miI1kX+HXCHwy7Fsxn+wh68PZNCiEJgQ4ca258bw6vRe3epCm1dRT9C8Te2mG3TxwIhATKRS/rwKDcMuF0//cprlu1JZ9+QIgwXId4cyMTeR6Vzu7mo0l4H7+zqo9YGRXnZq7Qco/Z50LbXvTbp4vh8V1jVhclUNzeqYB7H4uIqZEa1sr+tqgZqZSJke7aFzv7ZLNTEB7S9Q+vw0VAFlnQkB0ud62hZ7S1PWn9GvC7EwlXL/iEBu/uIQSReqcbM157dHhjLQ35G3/jnP6+vPE5tXedXrFL4+kEHYa5tZcnMffn1kaKf2PZlVTsTrW0goqEImlfDX48NZ+8Rwg/tsjC2g3zvb2d3GudLT3pJV98bw8Zx+OLUG1d244iCLNiW0S8MU6RxH00uZ+ekBXl0TS2mtcnT2u/sH8fV9g/TqtboCQRBYsTuVEYt3dbitiVTCAyMC+eZgRrspCJH27Ei4wM9Hs3i1g4DKqoZm+vo4dPvx1Gh0Vvr7O6rNxcxMpFo5Mv19Hdv5ON3Yz0tL02PXRYXwnqRimuUCwa7W6iiIqwWx+NBgWmvxcTxT99KLIfvsKg3PDV3rbofTdGtJVIIlXVoRfeR34sSVYkCjsfvFsTz64wlyyurxd7bi2/sH8cG2JJbvTlWLPlVYmErxdbLExebqde+MeW8HGSW1xL8zhdBOJpJO+3g/7/wTjyAI9PdzJPHdqVptVF3c/91xXvzjrJYfi0Qi4YZ+3mx/bjQ39PNCIcCX+9KZukwMqrsUcsvreHL1KW5beYT4gipsLUx447pItjw7ukunCXRRVN1A4KubDDrkqrh3mD/9fB2uGVGpRKJcmpjS252nx4fwyrQIXp4awUtTw3l2YijjI9yw0VhKNTORqrVsmqzYnUaEh53O0E4Vp7LK6e3V/Z2PsxpdygF+DmpzMc1usNLZ1YZvDmj/P0+KvHjjamgJv7NcXHLRfWPckxGLDw28HSzp56tcetlyvv3Sy1gdug0VbcfjfBwttf6tz1hIcz9jLXGNCUACZUFUVK17nDfQxZoDKUoBqb2lKV/ePZCX/zqn5ZhqYSplziBfJkS4YW4iI6esXm9K79XCq2tiGbpwJ/88PZKP5/Tr1L7fHMwg8NVNFFc3YmEq4+ybk/ny7oEG9/nzZC7Rb21rl8HjbGPOx3P6s+qeGDzsLNRBdfPXxhptHnctU9vYwtJtSUz4cC8bzxUglSiNufa8OJYHRgZ2qpi/FH48ksXgBTuN2vZ/U8L5/nBWu9BJFRam/43TcJS3Hdf39eK+4QHMnaAsMMxMlCZgSYXVVNY3Y2kqY3iwC1/fG8OZNyax5onhjAhxpqlFQV2TXOe47LSP9/PKNP3dj/Vn8rHqpCbsUkjUGJP1cbQiuUj57yYNsWlfHwdaFEK7pe66potdk6c7aYioj6YWBXuuoiC5tlzz2S5tmRHtyZmcCjaeK9DKbQFlR0NfJslTq09zXZ+Luo4HRwby9j/xWtssubkPL/15Tuuxz/ak8dJU5QdrerQn/5zt2CxnW3wh794YZXAbDzsL0ov1Wxu/MTOS19bGAfDE2GBeWxtHXN5F07Lr+nhiIpWw5nSeurI3kUoIdrUh3MMWKzMZdU1y6pvl1DS0kHyhusPpm55CVUMLEa9v4a/Hh3PytYkMfG9Hp/YftGAHn97en5l9vZjS24Nzb02mz1vbDO5zx6qj3DPMn1emRWBldvFjNzHSncFBTizalMgvx5RBdbsTi1gwK5pxXXiH9F9BoRD461Qu729NUhfWQwKdeGNmJL29Ou+S21nKa5sYvniXUSLR2QO8aZELejsjMqkEmVRCQ/PVKzz2srfAxsIEG3MTssvqtM4hhghwtuKWGF9ujfHlpweHsO5MHm//E09FXTPeDpbtlqXyKxtwsjbT6aC6K7Go03quzmImk6qLjKFBTsTmViIIyvOspofPuAhXTukoMpfvvjhi2xlbBUMczSilurEFFxtz+htw4e6piMVHG6ZFe7BgUwLHMssoqm5ol9cyqZe7XjdOQRDU41NDdWSd6NNqyBUCMqmEmwf6GFV8qKK+DRHkak2aDpMbFZklteRV1ONhZ4Gng6XWXdns/t5kltZyqlVEFePvyNyJoQwOdNKbwCsIAvmVDcTmVnC21ShJX6JvT+Gmzw9xYz8v0hdO550N8Xx3KNPofVWCuPVPjcDOwpTMxTP4+kAG726I17vPD4ez+OlIFr8/OkxLwGxnYcqi2dHM7OvJq2tiySqt4/7vjjOrvzevXxcpBtW1cjitlPc2xqt/r3ydLHl1Wi+mRXl02diiIdafyWPur2eM2vbt63vz4bYkvRMYlqYy6pvlV62eykQqwdJMpgxJ0zgdmptI6eNjj4+jFW625rjammNnaUpZbROFlQ0UVNZzMLWUzNI63t+axJd70/jszoHM6u+Dt4MVd3x1RKce5s31cQwLdmZTbPuOdGV9M9393x/haas+7w/wc1SPt/o4ap87J0V6qB2TVTw4MpCvW5dhPO0tuiz0TbXkMrGXW7dNcHUnYvHRBh9HK/r6OnA2p4KtcYXc3ab7MS7CjQ+3606SPZ9fRVRrVRvhYdvu+a06lnJA6YIY5W3P4E56D0R42Gq1AjWxMTchq1R358PcRMruVuX1/SMCtD4s48Jdya2o51R2BfaWpnw8px9jwlzbndwFQSCjpFbdXZFIQCqR4ONoxdhwN16eGkFWaS2b4wrZHFvA2Uu0T+9u1p3JZ92ZfI7Nn8DsAd5cv7xjC2wVSReqiXh9CxueHkmUtz0PjgxkZl9Pg+14hQA3f3GYR0cH8dykMK1sh+HBLmyZO5oPtyXxzcEM1p7OY19yMW/f0JsZ0Z6X5QLbE8ksqWXhpgS1o6+tuQlPTwjh3uEBeovhrqSqoZnrPz1AphEutSNCnIn0tOPNv8/rfF4iARszk0ue3uoptCgEqhtaMJFKGBrkzNAgJ4YEOdPHx77D/5O6phY2nivgm4OZJBRUce+3x3j7+t7cNdSfedN78Y6OAr68rpkYfyedxQcozz3dSX7FxRvH/n6OvNX6/2unofsKc7ch0MW6XcKuQsN/5LlJXZNBIwgCO67SEVsVYvGhgxnRHpzNqWBjbEG74qO3lx0uNmY6tQ/P/HqaXS+MBZTCwpsG+PDXqYvjdPo6ATsTiojytu+UJ39Ti4KRIS56i4+s0jrC3NsXQKBMYz3ZWq2X1jZp2QArBKVviY25Cd8/MFgrVE8QBDbHFfLXyVxOZZfrneCRSiDAxZoID1ti/J349PYBgHIk+dfjOV0aatdVDF6wk4/n9CPhnalM+3ifURcaFdd9eoAHRwYyf3ov3GyV9uzz1sYaNJn6cl86f53K45v7YuijodS3NJPx2nWRzOjjyct/nSP5Qg1PrT7N+sh83rsxqtscOXsilXXNfLIrhR8OZ9IsF5BK4I4hfjw3MQzny2SmtDuxiPu/O27Utm/OjOTPk7l8tV+3qNTcRIpcIVz1hQco3T1n9fdmRrQnJjIp5/MrOZNdwabYAhqa5TQ0K2hqUeDjZEkvDzsiPG0Jc7NFKpVgZWbCLTG+zOzrxatrYll7Oo/X1sVha2HC/SMC2HAuX9111URhwESsu8tyTR8PS1MZeRX1mJtI1dOKAJMjPbQGD1Roiv7HGsgJ6wzn86vIr2zA0lSmNlm72hCLDx1Mi/Jk4aZEjmWUUVzdiKvGnLlEImFSpAe/HGtv3JVeXKu19HJrjHbxoXrs9xPaj63Yk8rciUoRkq25cXdFeRX1DAlyZtUB3Se65KJqvc6c9pamVDe0YGEqpUBjKWhQgCMHWoWRX9w1UKvwOJNTwbsb4tVFCygV6mHuNphIpQiCgFwQyC2vp6KumfRiZVdkU2wh72yIJ8zdhgm93PnqnhhSi2r4/lAmST3M6XPur2fo7WXHjufH8PuJXOatjTV6368PZPD1gQyOz5+Iq605i2b34cGRgUxcuk/vPiU1jVy//CDPTAjl6fEhWiLJ/n6ObHh6FCt2p/LZnlS2x1/gSHopr83oxa0xvv/pLkizXMHPR7JYtjNFPXU1NtyVedN76S2ou5q6phbu++Y4xzLLOtzW2dqMx8YEt9N4aWJnYdLtJljdjYOVKXcO8eP6vt7kVdSxJa6QVfszjBbAh7jZ8PT4EK7r44VMKsHCVMbSW/viYmPGV/szeHdDAuMi3LhtkK/O4mNXov404O78OGjebIa723IqW3kO7OvroJXmPbm3OxvOats0jA13ZY+Gv4dbF908qLqAo8NcuiwZ93IjFh868HWyoq+PPWdzK9lyvpC7h2qHjI2PcNNZfIAy2jiydexLlzFZtY4TUFOLQl203DcigE81/P/1cTanwmAMvSAo77R0ofKU6OPjwAmNk6tcISBXCIwMcWFk6MVqenNsAU+uPoVCUFb9D44MZEIvN3p72bdzPBUEgeLqRpIuVHM+v4o9SUUczywn+UINyRdq+HxPGlHedtw7PKD1pJOuNWFzpTmfX0XI/M3sf2kcB18Zb5R/gyaDFuzgq3timBTpToibLSkLpjF12T7SDIh/P9mZwta4Qj67a4CW34uZiZTnJoUxLdqDl/88x9ncSl7+K5a/z+azaFYf/Jy7J/r9SiEIArsSi1iwKUG9nBfmbsP8GZEGk6W7mmMZZdz65WGjtn1+UhgpRTUs2KQ7O8lMJsXGwqTbo+a7E39nK+4bHoCjlRk7E4u46fNDWvHxoNTfRHnZE+BijZWpDAtTGVKphMySWhILqzifX0VqUQ1zfz3DJztTWHWv0n9FIpHw4pRwdiYUkV5Sy9Jtybw4JZy3/o5vJ+o1pCEr1jPV1xV42Fuoi48pvd3Veg+ZRsXjYWdBtLd9u2XbAGdrQFl8PDwqsMuO6WoesVUhFh96mB7tydncSjadK2hXfIwIcUYi0R1ktHR7EqvuHQQo1ewD/By0qnhd7qkAOWX1+DlbMaW3h1HFx5rTeR1mjuizQq9tVH6oPewstKzh41o/3E+OC1E/diyjjLm/nUEhwLQoD96c2RsPe2X13iJXsDupiPN5lSQUVpNZUouJVIK5iQxzUyl+TlZc39ebJ8aGUFjZwN6UYrbHXyAur4p5a2OxMTfhxv5eXN/Xiz9P5alNe3oCo5bsZuGsaNIWTueJn0+y9XzHCcIqHv7hBGPCXFl1bwymMik7XxjbYfs+6UI1Ez7cy7s3RnHXED+tzkaEhx1/PT6cbw9m8sG2JA6mKoPqXpwSzn3DA7pMwHYlSSioYsHGBHXnzdnajOcmhTFnkC8m3Tw2q6KpRcELf5w1SvQN8PGcfry3MUHvhc/Fxoyq+partvCI9rbn1hgfSmub+HJvulbWkoedBVOjPBgf4YaPoyUSiYTaxhbqmuQ4Wpni72ytdf6pamjmh0OZrDqQQVpxLXNWHuaXh4cS5GqDuYmMt67vzT3fHOPHI1nMnRDKuAjXdvoOQ8u1Wd2YGq05wdPX14FPdqUikWiP2E7u7a6zY605ZKA5DflvyCmrI6GgCqnEcOZYT0csPvQwPdqTRZsTOZpRSklNo5ZxmJWZCaNDXbXs0VXsSCjSWnp5YmwID/1wosP3++dcPk+OCyHSSJvgfcnFHXoZ6Cs+VL4CiYXadxJNLQqCXa0ZGqTs2JTUNPLQ98dpalEwOdKd5XcMQCaV0NSiYM2pXD7fm2b0h95UJmFYsAtzJ4RSWd/M9vgLZJTU8tORbKQSuL6vF9dFe7LuTF6PmZKZtzaWVQfS2frsaPYmFRv1/6hib3IxofM3c+Dlcfg4WjEuwo2zb06m79uGR3JfXxfHtvOFfHhLX60WrYlMysOjg5gU6c7Lf53jaEYZ726IZ8O5fN6/uQ8hbpdnOaKrKaisZ+m2ZP48lYsgKDsF948M4MlxIV3mAmkMKReqmfSR/iUyTWYP8CbIxdrg5EuQizXpJfq7XT2ZIFdrruvjRWZJLe9siFeHUrrYmHFDP2+crM1obJYTl1/FC3+c1Vl8mUgl+DtbMTHSnfuHB+Jhb8FT40OZM9iPO746QvKFGuasPMKGZ0biZmvB6DBXwtxtSL5Qw8G0EoJcdJsAmptIdcZLZBm59PNv8HawVE73AGFutlrRCJMjPfj7jHbR2t/PQcsvylCnujOsbRW0Dgl0vqon4f4b7jbdgK+TFX187FEIsEVHt2KCgehiTS2D5vKFilsGts9+UXkBSKUSnUY7urhUMypVC1HXHVlfXwd14fTD4SylJ4aHLZ/c3h+ZVEJlfTO3rTzMK60joY5Wpszq782r0yJYdU8MX98bw4o7BrDk5j48OiaIUaEuOFmb0SwX2JdczPtbk/hqfzpO1mbMHuDNiBBnFIJy6mTh5gQCnK15eFRgj0lnTC+uJXT+ZkLdbTg2f0Kn9x/5f7v5qzXDw95SOZL7fAeK9/0pJQxeuLNdSB0ohby/PDyUBbOisDE34XR2BdM/OcDne9JokV89fhFVDc0s2ZLI2Pf38MdJZeExI9qTnS+M4dVpvS5b4aFQCCzdlmR04fHZnQMoqmrkg226J95szU0Icr06Cw8POwvuHxFAsKsNn+xM4e+z+TTLBXp72TGjjyfDgl3486TSY+WTXansSiyiuLoRiQRsLUxwtzMnwNkKG3MTWhQCacW1fLk3nVFLdjFvbSwNzXJcbMz55eGhhLrZUFTdyHKNLu/oUOXS2r7kYnydLHUeoy5Rvq2Byb5/S5CGNf/k3u7sbF1yMZFJ1EWZnYUJQ4KceG1dnNa+QwIv2i08MyG0S3RaCoXAHyeVQvZbB7W/jlxNiJ0PA0yP9uRcbiWbYgu4S4fu4431usfpVu5LZ+mt/QCwMJVhbSbT8v7/Q0+gVFVDM3YWprw8NYJX13QsdjydXaEeC9aFPguB3HLlHL2uZaOoVqOm+iY5Px7OBODp8aFYmMooq23i7q+Pcj6/CntLU54eH8IdQ/ywMjOhuLqRQ2klHE4rpaSmicYWOU0tClxszZkzyBe5QiC3op7csjrO5lZyMquck1nlOFiZMjzYmbLaJhILq9kYW4BEovzZm5tI+ftMPi09wAthzPt7eP/mPqQtnM5Tq0/pXT7TxQt/nOXbQxn8+dhwLExlPDMhlFn9vRm1ZLfB/R776RSzB3jz1vW9tS7GUqmEO4f4My7cjXlrY9mTVMz/bUlkS1wBS27uS7iOMe+eQlOLgtVHs/hkV6q6+B0c4MSr0yPo34lk567gQlUDQxYa51Ia5GLNC5PDmfvrafVFpy3eDpZU1TcbNPfriViaypga5UFVfTPfHswElALO/r4OWJubcD6/Sqsb6WxtxpgwV3wcLbGzNCXI1Rp7SzMsTWUEuFhhaSqjsKqBM9kVfHswk2OZZaw+mk1qUQ2r7o3B2cact2/ozR1fHeWXY9k8PCoIXycrRoe5supABvtTSrihn7fOY9Wlmevr68CJrI6FwZeC5rlnRLALPx9Rav2aNQr9Cb3cqdKxJKTZWb55QNcUCkfSS8kpq8fW3ISpvQ0vu/d0xOLDADOiPVm8OZEj6e2XXnwcrYjxd9RpmbzmVB4f3tJXXem+ObM3L/11rt12bdmZcIFZ/X2Y0cfTqOJjT1Ixdw/111t8VOhZa9YcG2uLyqdkw7l8yuua8XWyZGqUUtT08l/nOJ9fhYuNGT8+OIRennbkltfx/G9nddrR68LJ2ozBAU6U1DZSUt1IRV0zh9JKkUiUaniA1KIaNp4rwNpMxqz+3uS3GhNdaf735zn+OJHLr48MZUfCBR758aTR+8blVRHx+hZ2PD+GEDcbfJ2sSFs4nTkrDxsU3K45lcfWuEK+uW8QQ9oY13k5WPLtfYP482Qu72yI52xuJTM/PcAzE0J4dExwt1uMdwZBENgUW8iSrYnqpbpgV2temdaLib3cLvv0zppTuTz/+1mjtn37+t7qDBldSCTKKQh9Y+89maFBTliZmbD+TJ76ZsXFxhxbCxPO5FSoH3O0MsXV1hwbcxOa5QLb4i+0E52CctlsgL8D4yPcuHtoANOiPdmXXMyTP5/iWEYZd686yl+PD2d4sAsjQpw5mFrK1wcyeOv63gxozW8pqGzQ2/nSZcrm5WBBQ2r3dP1UkzxSCdQ3y2mSK3C3Myen7KIR2uRIdzac0+5Sjgxx0Zpy6Spx+O8nlF2Pmf28OmXN0BPpOWenHoivkxXR3sqlF10GYTfrWD5Rkawx2z0lqr0i+Z5h/u0eW7gpETA+8fCbgxkGpwB2JekfTQN0WkSrguNOtxY0M6KVY3HHM8vYHn8BmVSiLjx+P5HDxKV72XK+EIlEme3w6OggFs2OZumtfVlycx9emBTGbTG+jAhxxtpM2T05lllGenEt9c1yrM1kyKQSBEFZdKQV1+DtYImNuQm1TXL+OJlLZkkdM/t6ddtSjK2F8TX4scwyguZtYlCAE8fmdX4ZZuLSvXzXGi4mk0r447HhrH5oiMF9apvk3LbyCIs2J9DYov1/JpFIuCXGl+3PjWFChBtNcgUfbEtm1mcHSSjoGdqZYxllzPrsEE+uPkVWaR0uNuYsmBXF1mdHMynS/bIWHlUNzUz5aJ9W4WFiQLD744ODDXp32FuaXpWFh6+TJePCXYnPr2JXYhEKQXlj4GRtRklNIxklterCw1QmoaaxheQLNZzKriA2r5KaxhYkEqW9eqibDb5OljhamdIkV3AkvYyFmxKZuHQvO+IvMDrMlV8fHYq9pSlncyv5+aiye3D30ABA6VwLYG0mw1Sm/L8orTV+eqWtC3V3MHuAjzql2sxEqj53mplIGR3m2s4YTTPZ/K2ZkV1yDJX1zeqO620xvl3ymlcSsfPRAdOjPYnNUy693DlEu2CY3seTV/R0KL4+kM6Sm/sC6Ew/bRtEB8pxsdrGFqzNTRgc4GSUx4AhwVFHyzJ1Te2LD5VToOrCpUqLXLJFWRjdNsiXXp52bDtfyMt/nUMQYHCgE+/eEEWgizVrT+eyK7GI8/lV6uUdUN4R+TlbUd8kp7S2kYZmBc1ygWa59jEIAmp7ZVOZBEXrv/Mq6onxdyTCw1Y9EdFV6GrldkT/d7fz6yNDSV0wjcd/PqUefTOGt/6J5/vDWWyeOwoLUxnDQ1yMyof5cm86uxKK+PyuAe0Eph72Fqy6N4Z1Z/J46+944vKquH75AZ4cF8ITY0P0io+7k9SiGv5vS6L6Z2NlJuOR0UE8PCoI68sQBNaWw2ml3P7VEa3H2i6JqpjZ14tJke7c/fUxva8X5GJNdWPLVVV4qDoT+RUNapdjUBZg+qZyVMtMrrbmjGodw+/j44CPo6WWx4QgCGSW1rEvuZgv96aRV1HPQz+cYMnNfbg1xpcXp4Tz+ro4PtqRzA39vNQX6OQiZeicvaUpdhamlNY2cUFHqrg+mrpJ6+TnZKXufEzs5aY+17doLLuNCnGhqqG5XUfmQMrFc5S+JaTO8vfZfBpbFIS723aZePVKInY+OmBGtHJdTall0K7G7SxMubGf7vGptkZiz7RJMtTnoLmztbp+w8hqObGwql2CribBrtZ6n9OFRKJsbSYWKE+ovTztKKpq4HhmORIJzJ0QSlqxcl5fEOD2wb789shQEgurGPP+bl7+K5at5y9oFR6gPEGkFtWQV1FvdJBWs1xAEAT13dCJrHJOZZczIcINbwf93/PlYs7KI7y/LYmv7olh+R39O7VvRkktEa9vIaNVmGhnYUrGouk8pTHmrIuUohomLt3HT0eyENqIdiQSCbP6+7D9OWVHoVkusGxHCjesOMj5/Mtnb19U3cD8tbFMWbZP3S27ozVx9tmJYZe98GhqUfDsr6fbFR6AzsJj1T0xOFub8cwvp3W+nlQCw4KcSS+p7VZ/ia7G39mKXp62HEkva2cMpk9X5Whlyn3DA/jnqZEcmzeBpbf1Y/YAH0LcbNqZW0kkEgJdrLl3eAA7XhjDnUP8AJi3JpZDqSXcPsiXUDcbKuqa+ftsPi42SoGqIKA27lLZlRdWGv9zzegmca/mz8jCVEZFXTNWZjLK6y4WabqMxcaEuaqX481NpDh20UTKH61LLrfE+PwnTAbF4qMD/JytiPK207v0cpPBpZeLd0SqD6Imj4wOavfY262ZAaqOQ0esP5PP0+MNXLA6qdWUSiSU1jZS3yxHIoFAF2uOtnqB9PKww93Ogi/2pFHfLGdYkDPv3hDFyn3pzP31DAWVDbjZmvPi5DCW39GfhbOiuW94AOMj3Bjo74iDlWmnnQgVAloCv7omOTsTi7AykzE4sHNZOMZi1gmtxJd704l6cyuTIt3Z/9K4Tr/XuA/2qE8qKsOlHc+P7nC/19bF8fAPJyjVod9xs7Ng5d0D+XhOPxytTEkoqOKG5QdZui1JnVDcHdQ2trBsRzJj39/Dz0ezkSsEJkW6s/XZUSycFd1l7o6dIb24hrDXNrNOYwwy1E33GKeFqZR1T47gk10pekMGXWzMGB3mquVs2dMxM5ES7W1PVX2z0RlLgwOd+PzOARydN5G3ru9NtI99py54VmYmvHtDFNf39aJFIfDKmlgkEgk3tN6sqToDKnF0buuFXmWM2Jlll+NGdIj/DVN6u6uP11Qm1bp5mtDLnf9r7Qqr0AwVff+Wvl1yDAkFVZzLrcRUJmFW/67ppFxpxOLDCGZEKz8wm2Lbjz4OD3bBSo/wZ/Hmi7+UujI5duho1ZfWNtHQLEcikeBhxMl65b50pvTW73JXbEBcqovGFoW6YJFKlJHfRzOUJ9ohQU4UVTWw7oxyzvylqeGsOZXHotbv85HRQfz52HCKqht5/vezzFsby3eHMtmVWMTJrHIq6pp1TthcCilFNZzJrmBYkDPOXTzr3iRX4GVv/IWyprGF8Ne2IJVKSHx3aqf2BaWQ9Y6vjqgLgxA3WxLfnYqbrWGNy46EIgYv3KnTb0Z5ovdm23NjmBblQYtC4JNdqVy//ACxXRzy1yJXsPpoNmM/2MOyHSnUNcnp6+vAb48M5at7Yq6IB4kgCKzan874D/dqPS6RoJVlpOLJccF8PKc/sz47qDe1upenHd4OllpCwp6Ot4MlPg6WxOZV6s1i0mRiL3f+enwYvz86jGnRnv9quU4qlfB/N/XB0cqU7LI6tp0vZGTrOO3htFJa5AosW7snKu8O1dKPsUFxtuYmagv+rsRa45w+KdJDbWeuOeUyKMCR6oaWdl2jtacvdr0nd1Hom0poOrGX+2XLNepuxOLDCAwtvcikEu4fEaBzv7ZZBM+06VDo8wLYmaDc763rjVt60dU6VtFZ19C8ivp2zRJVWzPKy55NsQU0ywUG+DkQ5GrD4taq/5nxIdzQz4tZnx3kh8NZNLWuTc7q782oUBe1iLQraZIrOJxeiqO1Gb2MNGczlvxK49ecVYxYvIsj6aUcfGV8h8snbTmUVkrYa5vJb9W7WJjKODZ/Ih90cOckVwjc+80x3vknXm2br4mrrTmf3zWQFXcMwMnajMTCam787CDvb01sJ17tLIIgsD3+AlOW7WPe2liKqxvxd7ZixR0DWPfE8HbTOZeLiromRizexXsbL1qeh7dmwugqftc8MZzGZgWP/nhSb3E8JsyVvPK6HpvO3BapRJl6XdXQbJTnyMRebmx9djSr7o1hoH/XdRQtzWRqm4IfDmcR7W2PpamM6sYWssvq1Am4jS0KFAqB0tbiw9jwya7+3KvQPKfaWyqLJ1OZRKtzOC3Kkz9PaodH3jnETz1s4G5n3iW5K40tcta1Govd+h8QmqoQiw8j8HO2oq+vAwoB/tTh0XGTgRluzaWX2Tq2m9irfWU8f51S2DQmzDjr3L/P5OvVQFQ1tBjtmgroDIlS2bHbWpgQ22o1PCrUlVX70ymrbSLEzYbpfTyZs/IIpbVNalOyaB9lsbI/pYS8inqdo3ldQWpRDdmltcT4O14RYaUm9317nMVbEnlxSji/PjK00/sPX7xLS7x680AfjhoxVfPNwQyu+/QASXrEjzP6eLL9udHM6OOJXCGwYnca131ygDOXaGl/JqeC21Ye4eEfTpBWXIujlSlvzoxk+3NjmNHH84qtSR9KLaHfO9u1isdRoS46QwyDXKzZ/txo3t0Qrzeg0cbchBnRnuxNLr5qguHsLEwIcLYmsbC6QzF1Xx97fn1kKKvuHdRt/jAqwaXqd00lkq9qDbcEaGyWU1F/UbhpyA5Ak+7+vA8PdlYvtztamam7HCZSCTf292bF7jSt7X2dLo7UdnTjYCw7E4oor2vG3c6cUTpMK69WxOLDSO4crNRsrD6ajaJNmy3I1YYob90X+Js+P6T+e4BLe/Hnbh3jsBV1zTS2yLE0kxn14fq/LYnMm95L7/OenVgGyCmrU2eFyBUCzXIFdU3KE5iNuYlauNjby07t/Pr0+BDe+See6oYWBvg58NT4EOatieXPk7k0tihwszXH3a57W4W1TXJOZJUT6mbT6WUPYzBmCUzFl3vTGbF4FzH+jhyfP7HT7/XwDyd4/vcz6hOxu50FaQunMzzYcCchtaiGKcv28d3BjHZiVABnG3NW3DGAL+4agIuNGSlFNcz+7CCLNifo7JroIqu0lidXn+LGFQc5llGGuYmUx8cGs/elcdw/IvCKFX/NcgXP/36GO1YdVT+mmjLbn9J+Ouq1Gb14/bpIZi4/wGkdCaqgtBkfFODIRh3LrT0VT3sLpFJJh90OFxtzlt3Wj7VPjNDSKHQHgS7WWJrKqG+Wk1FSoxaVVtY3q0dWTWRSdcFhb2lqtFFb24iIrkBzyWVEiAsbWz08NEfyp0Z56JzI+aDVqRqUpmRdwW/Hld2Vmwf6XLaco8vBf+c76Wau6+uJrYUJ2WV1Okc9247hqqhuaNEaw/roNu1qWJdpDsCu1qWXT+YYN0VhaPSqM1kp2aV1OFubqYVf+RX16pFcCzOZ2iDK1sKUlKIaVBYJh9JKMTORcu/wAF784yw1jS308bFn9gBvLM1kXKi6PFMB5/OrEFC2nLuSwqoGvQWmLvIq6gmZvxkzmZSUBdMYrCPh2BBrTuURPG8Tla3r2TKphNUPD+Wb+2I63Petf+J5+IcTekcnp0Z5sv25MdzQzwuFoCyWZnyyn5M6DPNUlNQ08ub6OCYu3cvGc0oX2psH+rD7xbG8PDXisuawtCWjRGmBv+ZUnvqxGX089bbuNz4zkuqGFu7/7rjeyavRYa5Ymsq0xlF7MmYyKUEu1hS3GvfpQyJRegztfGEMN/b3RnoZQgllUgkRnsrPY1JhjfoiXlXfTEFrh8rT3kLj3GKiHrfvCFVURFeiueQilUiob5ZrHR/AnEF+LN+tHQB691B/dWdkVKhLl/xs8yvq2Zei/B28ZeB/Z8kFxOLDaKzMTNTLKz8fzWr3vKGE2TWnLi7VTItqv52uqY2X/lQ6ok40kCGjyR4DhmKFnZiZTyuuQSKR4NfaPswqrVNrNao02qLxrT4gkV526jvL22J8+XhnCg3NCoYGOeFhZ8GaU3lkldYZNHLqagoqG8goqW3Nqem6143Lq1L/XIyl7zvbSC2q4ffHhjFvekSn37PvO9u0zMLGR7gb1U3ZkVDEuA/2qA2c2uJobcbHc/qz8u6BuNqak1Zcy81fHGLBRm3tSE1jCx9tT2b0kt18fziLZrnA6DBXNj0zig9u6YvXFR55/uVYNuM+2KP12ORId/Xdqia9PO04+Mp43t+axMc7U3S+nplMyp1D/DiVVd5jAg47wtbCBFdbc9JLag1GEfTytGPdEyN454Yond5D3YmqOG1olqt/v6zMZOrUV097S3VQm7mR3bMQPVNLXcX1fb3YFq/s7lqaydQ/W28HS4YFO7f7HdM8z75xXdcYi61pDVwcHOiks3N+NSMWH53gjtZx2R0JRVpRyaD8cN2gx/Pjf39etFa3MJW103loxtqrqG5soa6pBROZVO9ooCavrz/frquiiTGvAcpJgPLaJvVFNrusTj0iWVTdiLy1na+6q/Sws1QbpjW2yEkvrsXByhQ3Wwu2xV/AVCYh2tseE9nl1QA0tig4m1NBuLstrh1MjXQGXZqYjpj28X7WnMrlkdHB/HYJOpBpH+/n12PZ6n+72pqTtnA648L1u9uC8v/o9q+OsHR7st7Qucm9Pdj+3GhmD/BGEOCr/RlM+3g/R9JL+fZgBmOW7ObjncoJlj4+9qx+aAg/PDC424R+xlLb2MINyw9oxRCoukvbdEyRvTajF+/f3Idbvzisd1rF3c6c+0YE8PPR7G7TJ3U1LjbmSCUSg50CqUS5NLr+yRH09XW4fAfX5hgAFIJAaWu3wtnG/GLnw8FCPWWkLzunLfUGhPZdwUB/R05nVyCTSmjU6JDNGeSr9iXRRFOrFer+7zuvCoWg9ov6LziatkUsPjpBmLstgwOckCsE9TqcJobs1nPLL160XphsONVUxS/HlO/x0W39jNp+VKj+i1Gpnha8Lk5klauzCLLL6tQjn8XVjShaiw9VkFKzXEFRdSNSycXAunB3W/4+q/RV6OvjQGxepdHGYl1NYmE1lqYyArvhrqEz3Zznfz/Lm+vjGBLkzOFXx3f6vV5ZE8tD359QFxEyqYRv7x9s1DLMJztTuP2rI+pJmrY4WJmx9NZ+fHNfDK625mSU1DJn5RHe/iee0tomAl2sWXHHANY/OYLhIVde8BaXV0nvN7dqTZ48NDJQryPw5rmjcLAy47pPD+i9SPf3U+aRrNyX3i3H3B34OCqD7AxNhgS5WPPX48N5YXL4FRVjq0ZnFYKg1nZIQF3kedhZqDsfxk66GLs0cyl4O1iqbzQ87Cy03uvmGB+eXq1tQDel98Ubyo5Sq43laIbSDM7G3IRp0frtFK5WOvXb+Pnnn9OnTx/s7Oyws7Nj2LBhbN68Wf28IAi89dZbeHl5YWlpydixYzl/Xnfy69XKnUOV3Y9fj2e3u5scHuyi1+5c0y1R112jrmmVd1vzAlRhbx2xK7FI7zKDvvV/XRzLKCW01ZvhXG6FWixaWNmAs7Xy76oIa5VgzMHKjLg85cVA9UF1tzPXGbx3uckuq6OyvrlTmg1jaFEI9PdzMHr77w9nMXHpXtxtLUh4Z2qn/Ul2JFwgZP5mLWOx8RHuHJvf8TTM8cxyRv7fLrbpCQAUBAGJRKLTYO3T2/tf0QkWFYIgsGJ3Ktd9ekD9mJmJlNsH++qcVgl2teb065P4+WgWL/6hP0Tu+r5e2Fuaqov9no6FqZRgV2tyy+sNWovfMcSPjc+MuuxpwbpQuYIKwkVPD9XFPdjVmrLaJrUPSVVD1/t2dJZbYnzU462a3h7jI9ywMjNpt5StabE/Z1DXdClU5oMz+3piZfbfS0LpVPHh4+PD4sWLOXHiBCdOnGD8+PHccMMN6gJjyZIlLF26lOXLl3P8+HE8PDyYNGkS1dVXT/ZBR0yN8sDJ2oyCyoZ2YjSZVMLtg3X/4p3KrtD6JW67Jqivildd0MdHdKz9eOnPc3xsQKDqaGXcOu+xjDK1DuV0doV6CSa+4KKVu2qET+UBUtPYoh5FVN1hXy6RqTGU1TaRfKGmU8WCMZzOrlD7wBhDalENQfM2AXDitYncGtP5qO2B7+3Q8m9xs1VOw4wIMTy1oBDgkR9P8ub6OC1dx6nscuasPML93x4nr6IeWwsTor3t1WOQsz87xJd70/SKoy8HFXVNjFqym/c1pgluH+yLjbmJzqLhf1PC+fHBIdz/3XF+OpLd7nlQZgc9OiaI2LzKq8Y4zNbCBGdrpUZHHzbmJnx6u9JhuKckn+a0dkVVnQ4vewv1pMoAP0etZQxjjAi7cilVF07WZpTWNmFlJtPqGt82yJcv9mqP1/bzdVCLUd1szbvEybeqoZlNcUpNyS3/wSUX6GTxMXPmTKZPn05YWBhhYWEsWLAAGxsbjhw5giAILFu2jPnz5zN79myioqL4/vvvqaurY/Xq1d11/JcdcxMZt7Qur6zWITzV5eWhYr2GxfOtOqpjXWJGVVri/93Ux6jj6+fjoPc5SyMNb+Lyq/Cwt8DZ2ozGFoX6jjcur1I9cqpShFe03tFomu9cwWuUQZpaFJzOrmCgvyN2nUiy7YiNsQWdLiJ6vbGF4ppGltzcl6W3dt4P4IYVB7WEzzKphJ8fGsoXdw3ocN/vD2cx67NDbDtfyKM/nmD2Z4c4mlGGmYmUR0YHse9/4/jn6ZHse2mcOil30eZE5qw8rO54XU5OZJbR753tWnlBb86M5JdjOTo7en89PoxBAU5c96m2j4nmKpmLjTnPjA/ly73p3ZYN0tU4W5thIjWs74j0tOOfp0cys69u/dmVoKFZrs7AUXVAon3sOZVVAcAAf0e1saKxdGemzsRe7uoEWxOpRF10u9iYMy7cjc/3aBcf3hrZWi9P7byoXBf/nM2noVlBqJsN/a+QTqe7ueRFQLlczq+//kptbS3Dhg0jIyODwsJCJk+erN7G3NycMWPGcOjQIb2v09jYSFVVldZXT+f2Vs+PPcnF5LQRIAa72jBAz921ZuvXxtyEoDahb7rEjMcyyqhpbDG60v9we5LebBJjXTvlCoH9ycXq7kdxdSN2FiY0tiiobfX8qGw9iRgrDutJnMwqJ8DFuku9R34/kWvQbE4XgxfsJD6/itkDfNjw9MhOv+f8tXE8tfqUlu/M1ChPDrzcccZMQkEVj/x4kq3nLyCVwC2tY7PzpvdSB2G52SqTcpfc1AdrMxnHM8uZ9vF+Vh/N1ukj0tUoFAKLNydy8xeH1Y+525nz3MQw3v4nvt32lqYyTrw2kaTCGm798rBWYWJhKlUXxX197Ll3mD8fbk/u9u+hq/BzsqKxRWHQIv2mAT6seWJ4t+ib/g2qroCNuQnZZcrCKdLTnrOtGo9ob3udfkdXinERrurIAs3poZsH+ujM9NGcepneiS6oIVRC01tjfK/4cmd30eniIzY2FhsbG8zNzXnsscdYu3YtkZGRFBYq15Ld3bUnOdzd3dXP6WLRokXY29urv3x9e36LKcDFmpEhLgiCUvvRlpsNzGOnF1/MlTDWAU/VYVk0O7rDbdefyeezO/Xf/RorktwYW6AuPo5mlKlV8qprjjE5ET2Zc7mV2FmY4u/cudFZQ/x1KpdpUZ0Thk3/ZD9bzxcS5W3foZOprmWzDecK6PP2Nq3pDB9HK6OyYVQMCnDivVlROnVHEomEWwf5suXZ0QwOdKKuSc68tbHc/91xijoxwt1ZymqbGLJop1aL++FRgfg6WvHRjvZFw60xPpx+YxIf70hh3tpYredszU3UgufZ/b0ZFOB0VRUeER62FFc36p3AkUklvHFdJB/c0qdL7Ly7GpV/TJS3nXoZWSEI1DXJsbVQZrN05MSqiYtN12Y5taWkugmFoNQT1WlM1Nw2yJenVp/S2lbzhuP+EQFdssyVVFjN2ZwKTKQSZg34b4TI6aLTxUd4eDhnzpzhyJEjPP7449x7773Ex1+8C2lbpamEbPp49dVXqaysVH/l5Fwdoi9VSu1vx3PbJYUa8vzQHA3U1U4bqWOaYOGmRARBMDhNo0mLQr8IzZAPgCa7EosY0CpUO5Jeqs7GUOWB1BvpiNmTSSmqQa4Q1N9bV7A5rpBBAZ0T+D3640m+OZCBu50FcW9P0btdeV2zTm+DmsYWot7cqtWFU2XDvDQ1vMP3P5pRxk2fHyK7VP8Ysa+TFb8+PJTXZvTCzETKnqRiJi/bx4Zz+Xr3uVROZpUz4N3tWq3192/uw1f7M3QKmD+7cwCvTOvFfd8e48cjF5eiLE1l2FuaUt160Z47IZRGuUKvlXpPJNLTjpSiGr2fN3tLU76/fzAPjAzssXfIqtRZbwcrMkpqkUpQu4OOC3drl4HVEd1hLKbiqXEhrGkNhtMcKBga5ISJVNKuSDqoYTj58Kj2KeWXgipEbkIvN1z+IyFyuuh08WFmZkZISAgxMTEsWrSIvn378vHHH+Phobzja9vlKCoqatcN0cTc3Fw9PaP6uhqYGOmOq605JTWNWvPdoDwhXK9nzfVoRpla7CeRSHhktPYvrC73VICzuZWYypTR2B3x2E+nmGog6dYY6prkFFTWE+RqTVOLQh02dz6/qlN27T2d3PJ6KuqbdBq9XSrHM8v1Zu3o450N8by5Pg4bcxNSF0zTK4xNLarB10n3a49aspujGm3hFrkCJyvj7hLj8qoY/+EetWW+LqRSCQ+NCmLj0yOJ8rajoq6Zp1af5ulfTqu1P/8GQRD4dGeKViSBj6Ml79/cR8srR5PdL44l0MWa65cf4Ej6xVFbZ2szTGUSKuubsTCVsnBWNHuTi3Waj/VETGUSwt1tiS+o0iv0DXC2Yv2TIxjZw/M+VD5G1a1TLAP9HTnS+ns6pbcH2xP0/85dbvydrdTLRJo/9jmD/Pi8jdB0cqS7euqll6ddlxjuNbUoWPsfDJHTxb8e/BYEgcbGRgIDA/Hw8GD79u3q55qamti7dy/Dhw//t2/T4zCVSdUjVbocT+8dHqB3X9UIF8ATY4PbPT80qP2FUDWqu+Rm44Snj+t43c6yMbZQPcmRVVqHu505dU1yo7snVwsXqhpJL67p0tCmvIp6pBLU00HG8P3hLO7++igyqYQ1jw/Xm5acU6ZfcHjbyiN8fyiTLXEFTFm2j1daO23GJAq3KAQe++kk726Ib9fN0yTU3Za1T4zgmQmhyKQS/jmbz+SP9hl02e2IqoZmpizbp7Uc8syEUGb08dRZeIS52xD/zhSSCqu4YflBLTGqn5MVDc1yqhpacLcz5/9u6sMnO1MuOUTvcmNtJiPcw1ZnGJ6K/n4O/PX48B7veplTVkdeRT0yqUQtNvV1tCKztA4zEylO1mYGf58vJ6NCXXQ6AttZmDAu3I3VR3VPTQG8e0PvLjmGXYkXKKttwtXWnDFhhk0Er3Y6VXzMmzeP/fv3k5mZSWxsLPPnz2fPnj3ceeedSCQSnn32WRYuXMjatWuJi4vjvvvuw8rKijvuuKO7jv+KMmewH1KJMtckTUPLAcrqXt/d6ysaSy8OVmbtvEE07+BUZJfVUdXQbLSzZNtxsEthZ8IF9YjvvpRihrUGUOlzy7yaKalp4lxuZYeuoZ1BISg7K505iexPKWHM+3sQBHhzZm+ji01N3vz7PI/9dEqdNvv6dZGcfH0i6QunM9aI7+/rAxnc+uVhvaZkoCy+n58UxprHhxPkak1RdeP/s3fe8U3Ufxh/Lns03Xu3dNPSQWlZLXsjU6ZMQUAUBFEcOECmW1AERYYiIAgKyt6rjEILZZQWuvfeK/v3R5JrrpmFlPGz79fLlyW5XC/J9e7z/YznwYztN7Ds77uob6U66P2CanRafpK0IgeAbTMi8W9SAX66oCn6Na9XBxx/KxZbLmZi3u+JFK2LQCdzFFU3oV4kRbCLOT4YEoi3/rjdKouBZ4k5hwE/RwHu5etuvB8Q5IDds7vC5gVIyR9TjosGO5sjKVepYKryP/GxbZOy3eMyONiRHG9VZ3S4Cymzro66km5nD9NoqajEK8dG/H+ZyGmjVe+uuLgYU6dOhb+/P/r164fr16/j+PHjGDBgAABg6dKlWLRoEebPn4/IyEjk5+fj5MmTEAjaxqr5WeNiyUUff8XNeY+WqHh2T901QHW/jo2TDY9HAiBHvNZPDDO47bF7Rfjt1Sij9quLBpEU6aX1ZOlFpVIokcp1TtS8yFQ3ihGfWaEhf/+kXHhYimndtBsPaiOnogHeHx6FSCLD+Eg3/GFAkl2gZ2z45OJemNXTC2wGHTQagR0zo4xqdL6dW4WhGy7hio4yoIpQN0scXRhDZml2Xc/B0A2XcFOH2mhLfr+WjWEbmkXDOEwadr8WjVd33NQ6Art1eiQWD/DFkj+TKI2nLAYNoa4WeFBYA5FUhsEdHTGtmycW7b1t1HE8D1hwmfCw4et02QUUk3abp3R+bvQ7DHHkruKmzWczIJLK4GbNRYry2hfrZ4d/bj8fwYcZm4HiGqFWJeYJXdyx9AA1+za1a/Pf87oxISbptymqbiKnbB5H/+dFo1V3kK1btyIrKwtCoRAlJSU4ffo0GXgAih6G5cuXo7CwEE1NTbhw4QKCg4NNftDPEyrF0/2JeRq25IM6OugckZ26NZ78WVuZRdukwqbz6ZDL5Xipk3Ez/K1dgWrj92vZGK4svRRUN5INfPSnaBT3NKkXSXElvQxjwk3bZf7b1Wws7t862WW/j46hQSRBV28bnFwcq3M7fZMCXVafpiiiAoqRwWNvxRj8/VUNYkz+5Tp+vpiud7SWw6Tj05c6YvfsaDgr3T/H/3QVX59MpQjrqdMklmLWjhv46OA98rEJkW74elwYJm+5rvU1p9/uhQh3K0z9JZ6siwMK/YUARwEptz6vVwdEe1uT5owvAtZ8FlytuLibX61zm9divLBmdPAL87eXV9mApNwqEETzOepkwcWjkjpSwK72OfHQGRPhQpZV1OOIUFcLCCVSDeEz9cZmU02kHEjMg0wOdPG0grdd25rmPQ/8/y1fnzK9/OzhYslFVYMYR+9SU3YMOg1zY7VnP8rqhGRwQBAEPhoWSHm+RIeIzrWMCtBoBKYbsZJ+fVciXovxMuZt6OR2bhUCncxBEIrfrSol/T9Mu+iiQSTFiftFpJicqfj29MNWixAFfXICtU1i+DkIjNLv0EbnVac1sgiBTuZI/HiAjldQWXM0BW/uvmXQbK27jy2OL47F2AhXyOTA92fTMG6zpjBZQVUjAj4+jjNqUw7fTwqHtRkLb7QYZQQUGcakTweCTiMwZtMVioeLly0fdgI27uRVg0YAq0YFg0EjKDogzKdsatha7AVseNvy9broLurviw+HBj63Ey3aUF0PPW34uF+gCKpUzbPDOzmTJZnnAQsuE2V1QvBYdEqg8VqsN9YeTaFsO0Otn29MuAvYjCfPQsnlclJO/f9V0bQl7cHHE6Iuqb5LS+llgh6df3Wp6FeiNYMJbRMTk7ZcAwC8PyRQ4zltDDcyS6KPCw9Lyb6FpyGx/e4gfyR81B8pKwfj1OJYfDayI7lSelrUi6Q4fq/I6PFmY/n8eIpGoGmIkOUnUd0ohqsVD5eW6g9AdAWlfb46r1EKseaz8Gj1EIS6Gp6gOnK3EKM3xmn0NrXEnMPE1+ND8cPkcAg4DEX5Zv0lHEjIg1wux9X0cnRfd5bymn/f7IntcZkaypGAQkL94tI+SCmswegf4yhBVKibJeg0Ag8Ka8Bh0vDjK51xN68aP5xLI7ex5DGfayE8WzM2/B0Fej2Q3h8SgEX9/V6owEMul+MPpey9WCqDTK4wnFQFIT18bLT2tj0LRoY544gyUDLnNGvpuFvzEOVprWFYeEutcfn9oaZRNI1LK0dWeQP4LHqr7BpeZNqDDxMwPtINDBqBhOxKSi8HAAg4TJ3Zhx1Xssh0NpdF15hu0CWjnF5aBy7LOKfWkRvjWj322ZJDtwswKkyRWryTV21SXYyW9Pa3wxt9fGBjxgaHSYevgwDTunkiZeUQ7J3TFRZc4/xpTEGtUIKT94tMXn9ddeQBVo1qXTkydMVJfHvqIUZtjNO73a9XszXGt1W8vPkqDt3OpzzGpNNw6M2eeH+I4Yvoo5I6vPT9ZZzQYU6nzvBOzgphMk9r1IukWPJnErw+OEoGz4DCE+PU4li89MNlJGrpc/h6XCjWjumEf5LyMWnLNVSpCdv19rdDeZ0QaSV1sOIxsW1GF+xPyMPem806QfYCNuU1zxtWPCaCnM1x6ZHuvpp3B/ljXq8nn1x72lxJL0dGWT34LDo5OcVi0NAklsHfQX9D7dPG194MGaX14DBp5DgwoMh6bLlEbXjuF2BP+irxWXTYC0wjO6D6PS93dgXfiMm0/wfagw8TYG/OwUClpbK2cSx9Y7fqHdML+/pqPK+tvquyc/59drRRx2esL4wuGsVSlNeL4GLJRXWjGGYm9EVpSageb5pobxskfToQW6YZtpE3FTVNEpxLLaU0mJmCjw7ew5etnGRZf+YRyutF8LTh4dsJoTrl4X++mKHzhvXWH7ex4cwjjcfn9eqAfXO7GTyGBpEUc3cm4OuTqRRZd224WHKxZ05XrePki/r74uPhgRjw7UWtrz3wejeMiXDB+tOPsHhvEkVzYVSYM+7kVSOvshFu1lxsnxmFb089xOkHzX9LzhYcnaXL5wEBh4FIT2tcfKjb0G5hP1+80cfnKR6V6dh5VdET4aj8HrhMOqoaFaO2Q0IcsSde99jq06S3f7OUuhmbQXpWmbEZGB3ugi2XqIJ0NmrqqjuNvP4aIrWoFhceloJGAK/2fLIy+YtEe/BhIlRlk79v5Ws0erpa8XSqns7dmUD+bMVnoV8L91ptZY7kwhoUVDUandH46OBdwxsZYMeVTLKEVNkggqCNonNjEuQDghxwZ/lAcvS3rSmtFeJyWpnJrLJVfPZvMr6bENbq1+1+rStGh7viyvv9EOyiffR684V0rTd9APjm1EMs3Z+k0UQa5WWNi+8a11fy/dk0zP09wWAfSEFVI37UUk45dLsAYzdd1fIK4NLSPghzs8Kyg/eoEy10GqZ0dceJ+wothBAXC2yd3gXL/r6LG1nNZQtXK67RPkbPAh6LjiHBjhrihOrM7eWNxf01FyMvAoXVjTilDARV8uT25mzkVjSCx6KjQSSlyJY/S6K9bHAjqxJ0GoFGtWOaE+uNMw+o3w+DRpCeKwBIBegnRZX1GBzsCA+b51u3xZS0Bx8mopu3Dbxs+agTSiid+Cr0Se+q20mvMFKs5mPllMBf8w0LuGWVN2DzlM5G7VcXuRWN4DLpYDNoyCith4et6TxR1DHWNdWcw8SeOV2xspXli9ZCEIrsU2ZZPZILa/RK57eWWqEE6888wudjDXv2qNN93VmU1DSBTiPwzxs9Ea1DnfXH8+k6MyD7buZh+vYbGsGtuw0PSZ8O1PqalpxKLsbYH69omCuqiM+sQMwX5yiPhSktBbSN0aoaS+0EbLyxK5GSRRRwGJjS1QP7buShUSxFrJ8dvp8Ujjd2JVIaNT1seBTBsecNBo3AhC5u2J+Qp3Ob8ZGueH9wwAvV46HO9rgsSGVymHMYKKxuAo0AhCpvnQgX/JWo+70/TYJdzMkSCpdJJ7MegGKU9q0/blO2H6Tm27R6tGmuO8U1TWQp1FTy7C8K7cGHiaDRCDI1v+VShoYQV5ibJXnhbcmYH9XlpHlwNkK+/ExKCcrrhEZH379dzTJqO338cSOHXP3XC6VtovVxI7OiVY6pU7t64OAbPUx+HCrkcoUVO4NG4E5eNWoaxSYVIsssq8eBhHx82MrGtag1Z1BeJwSNRuCPOV1JMbiWbL6Qjld7eGnNVF18WIoh6y+Sfj0qLLhMPFo9BB2dDQvapRbXYsQPlzWUIffE52D8T82ZjWAXc9xY1l+n0uqQYEecf7c3AGDatngcV+srcTBnY1KUO3ZcyYRIKsOwECesHNkR07fH41FJcwOsr70ZKY39vDI52h174nOgq2LVN8Aea0abRjfiWVBeJyRLLjRlydhewEFRTROYdALWPFaberO0huGdnHFCKR6mLlQ3o7unVlE6dWl+U0mf77iSBbFUji6eVgg3USblRaE9+DAhE6PcYMVjIru8geyeVmdeL92RbVpJs5Ty1hldjPp9q488AAD8MDnc4LZX0sufOPuRXloPN2seWHQaMsvqWyUdbiwF1U24ntm6LvgwN0ujywWPg1gqB4dJB5NO4NKjMjhacBFpIkVDAIjPqsCaFuN8xtB51WlUN4hBEAS2To/UmZXZFpeJkeHOWj15HhbXIXLVaY3yCZNOw+EFPXU2r6pT2SDGpC3X8Pu1bEikMrx/4A7FQPG1GC9snxGFQd9d1Old5G7DQ3FNEyb8dJX0AgEAbzs+Roa54OeLGZDJFVmBdwb5Y/KW65RAI8rTmhKIPI9MjnbHkTuFWoWsAMV5/MPk8Bda2XLr5Uw0iqWw4bNIbQ+VHcOoMBf8+5x466iu03K5YhRb3U5gVk8vjPyB2titHtzP6O4Jpgm+ozqhBLuUeiH/tawH0B58mBQei4GZPRQNQypBMHUGBDnqtDnv/01z452xEup/3cpHbZPY6NGs0w9015iNZX9CHsYqx0+FEhnaYoGmz0NBF+42PFx5v6/pD0ZJnVBCOkzuic9BnwB7nQZvT5PQz06iTigBQRD4YVK4Tm2S368pjtlXiytubZPCFbelGBlBEPhwaCC+n2Q4uAUUTbQ+y47hjxvNEyc/TA7H5GgPdFl9GhX1mitelT36Txcy0PPzc0gpag7Cw9ws0dvPHj9fVNTEZ/X0wpxYb0z46SplEqyPv53GOOTzxuhwF9zOqUJ5vQhsBk3j78bFkotfpkeCx3pxJx2qGkT4TZn1YNJpkMrksOQp9DMIQpHV1VZuexbMjvEmyz/qXlUjw5whksoomRAAFOfdhf1M04uz70Yuapok8LLlm1xV+UWgPfgwMdO7eYLPoiOlqFbDKppOI/QavuVVNq/kdhnZSf31yYdaRcq0sT8hD5teMU7KXRcpRbXwdzADg0Ygv6oRzhamvwH/k1Sg11dEF86WXFz/sJ/Jj0dFYXUTPGwUvS7fnnqIOTHeJm+8/WVapFH+K+oEf3oCjSIpCILAl+NCMUWputuS3ddz0NXbRmf5r/Oq0yjRkm5+KdTZqN6ilhx8owecLDjo89V5rc/vm9sNNz8agAV9NSc6Yv3sEOJigW1ximmDRf19MaGLG8b/dI0yxTIwyAHnUnVPjDwP9PCxQYNIguTCGrCUgYf6uoTLpOPnaZ1fePv0rZczUSeUgM+io1QZyKre54BABxx4Tno9AEXALVRmO9S/izmx3pi+LZ6ybayaN1MPHxsNL67HQSKVYetlxbk9O8aLLFH9l2gPPkyMBY+JKcrej43n0jSyH/rU62Zuv0H+3L2D5iSHttHKHVey0CSWUlT39HFHj3yzsfyZkIeRYc2Swm0h9/zF8daXIQDAwZyjV4r8SSmsaoK7NQ8SmRzfnHqID4YGwpRvf/ZvN/HuIP9Wa7MEfnKclPdfNSqEFL5ryc5r2Yj2skYPH+2TQlFrzqCwWjPwi3C3wpklvTQe13WcAjYDCdmVOidaTi6ORZSXNRKyK7HjSpbG8xcflpIS1h8PD8LwTs6Y9PM1SvZkWCcnyqj684i7NQ+BjuY4cb8YdBoBjlLrQp1vJ4Sio7NhobfnmaLqJnJqQyqXQyqTw4zNQHWjGDQCcLLgIEdHY/LTZmE/X+y9oZldjfG1hRmbodGwnK+2KPxoWJBJjuHYvSLkVzXChs/C2Ij/fx8XbbQHH23ArJ5eYDFoSMyp0uhfMGMzdEquPyqpQ6lyVUcQhIYBWHGNdt2CH8+ng0Gn4ZPhhv8wNp1Px7cTDBuL6eN+QQ3clb0f+VWNcNBRSnoSDt4uoEwBtQY/B4HRmaPWIpLKUC+UwM2ai8oGMf5MyG21ZLohhm24bNBMThvhn50itTfWjA7BcB09ID9dzECkhzX6B2pvUu229iwlC6eig50Z4ltklnQJ4dUKJVh5OFnrc1fe7ws/BwGuppdj6tbrer1p3h7gh74B9pi05RrK1QKP0eEulAbA5xEei44Z3T2xVZm9cTTnoKbFe32zjw8GB7/4ipZfnkhFk1gGAZtBBlcSmeL/wzs54+g9w8J0Tws2g4ZKLeJzr/fqgMUtjAi7d7BBeqmiVGRrxjK6JK4PuVxOlhKndfMEh/limASamvbgow2wN+eQqpgb1aSeVegTHVu6P4n8ebQWczNtK80NZx5BIpUZnf24rcc101j+uJFD6n7Ui9pm8uXDv+5qmPUZSw8fW506F09Keb0IfBYDAg4Dt3KqUFwjxMiw1snYsxj6P6+YL84hflnrSkiNYile+uEy5HI5CILA95PCdU7mrD/zCNFeNhjUUXutuefn55CjZXLE3pyDu8uNG8VtiQ2fhaRPBsLZkotzqSWYsT2eovcwsYubxjn8zamH6PPVeTIoBxQS8trG2dsKK97jqep+MDQQP55Ph1wOdLDja2SUunpbY/GA1pkNPo/czasmSyps5Y1UpWbKYdJgyWNSvr9nyeyeXqRtvTohLhZwt+FpKO2qj98a4wZtDNczK3A3vxpsBg1TW+F2/f9Ge/DRRsyN7QA6TTEdcTePWupwtuRiRKj2m9W51FJUNyqicjqNwLuD/CnP61pp/no1GzQagRUjDOuE/Ho1u9XaEi0prG4Cj0WHJY+J6kYx+GzTR+8pRbXkRM/jsGSgP3htZD2eUlRLqrFui8tErK8dfLQ0c+pCJJEZHKnu9/UFxLWyifZ+QQ2W7FMEsIopmC7o4ql9Mmf10QfoF+CgMwMS++U5ZGlpEOQy6VqzKrrOaRVx7/eFBY+J4/cKMee3m2TNHVBMEHCYdLIEM7unF/havruF/Xzx69VsjcfbCgsuU+sq2RBzY71x9E4hyuqEcDTnoLJBTBmvtTVjYcPE8BfGoVYXcrkcq44oMlx2AjbKlL0eKv2YMRGuTzVQNISjjvLP3F7eWP4PNVMX5WlN6oDQCJD+Vk/KFmXWY1ykq0n6R15U2oOPNsLNmkdejH88r5n9mK3HbXb1keY/glla5Ha1NaatPJwMmUyOaUZG0v8kFRi1nT5+vZqFV6IVzY1tlf3YeS0bx7SMLRsDnUbg9NuafQqmIj6zAjG+tgCAFf/eN6rspU5BdRMEeqTqa5sk+OFsGo4s7Nmq/f51Kx8/XVCoiip0QLrpTBcvPXAHE7u468yQ9P7qPDLUzOTqhBKM3XwVh7WUPAydU9+eeohDt/Pxxu5bFLO3eb06gCBABh5rx4Rgdow3uFomP7RJw7cVDBpBLgRaQ4S7JdhMOq5mlIPHokPAYWhM+nwzPgz25qbxBXmWHLpdgOuZFaARQJ2ypMSkE5DK5LDiMSGWyPSW1Z4mYyNctZp/ulvzEO5upTENqD6RtH1mlEm0V9JKanEmpQQEAczq+d8br1WnPfhoQ1STLcfvF1F0PACgk6slonQoU+67mYcGkeIPlsOka0zIlNVpT2Huup4NgiCw0giV1Li0cqP0QfTRJJahrFbhNSKSyGDeRqZvS/5Mwq3H7P9wtuSabDSuJSKpDMU1TQh0MkdNkwTTWnTJG4OhC/Oe+BzklDe02s9m7bEU0gCOTiPwz5s9yLHWlsz+7Sbe6u9HBlIt6fv1BeRWNKC8TojYL86Rq0FAMbHykoGMh4qfLmbgrT9uU1RVF/T1gVQmw/a4LMVxjwnBkGBHTN16Xed5/rR4nPPZnMPA3F4d8KOy3BqpRX9kWjcPygTFi0plvQifKft6+CwGGsVSEETz6Oqgjo746znKejhZcLSO+r4W44VvTz2kPBbiYkHp14vV8bfRWn5ResUMDHIwyhj0/5n24KMN8XMQYECQA+RyYNP5DI3n39JzU/z+bHO2RNt4rraU9MeH7kMkkZHTNob44MCTe77svZlLdmtXNYjaxHW2QSTFjO03kFpUa3hjLbRV7wegEOlq6WTcWhwNrIBf35WIDnZ8rVkwfczdmYBkpfQ4k07DpaW6SzijNsZh1ahgrVNWgKIHpfMqqlbHqcWx8LU3I23SW8u8Xh3AotNI8641o0MwKswFr+64Qblhz34GZlv+DgKtuiSGWD06BF+fTIVEJqek7VV42vCMchB+EVh15AEq6kUw5zAoY6tyuUKr6GFxrVZvqmfB5Gh3si+FSW/OYNjwWejtb68hd2+lVg759VXTZD1KapvwV6IiGDNGvO//nfbgo41R3fgO3c7XmCDo3sFGpy/HpvPppOqeOYeJhS20EOp1GDNtOp8OgiCwfmKYwWOrFUqwY6Zxaqr6OP+wFL397SCRySGTy9tEeKy6UYypW68j7TFULDlMulG9MKbikFLfwliKapp0Zh1U9P36At4d5G8wUGnJ0A2XSPEwLouOxI8H6Ny215fnsWFSODobUG9lMWi49kE/WPNZGLz+IjJKtQtHhbhY6G3WZDNo+Fq54vxoWCDGRbpi/q4EStPflK7u+OVypo49tA0+9mZILW59oDuxixuSC2vwsLgONnwW5JBTyjYEoWhafJGFxFRcflSGA4l5IAhAwGFSRLkIAoj0sNJo3nyWWHCZKKxuAp9Fp5T83uzrg80XqMaHnjY8ituwqbIeO69mQySVIcLdEp09tF/3/0u0Bx9tTLi7Fbp3sIFEJicbjVQQBIElA/11vJLaK/J6b+Ostb89/RC1TWKKDoc+Zmy/oVN0ylgSsisR5GQOLpOO2iYJeG00OlZSK8SYH+NwJV27RLc+Xtah/GlKunorLihfnEhpdWf8pUdlOgNRFSN+uKxVa8MQnVedJgNZaz4Ll5bqlqKPXHUaW6dH6m2ePfN2L9BoioBI1/g3ANzNr9bbrLle2b+xsJ8vXu3hhfcO3KEIho0Mc0ZidpXO17cFfBYd6aXGB7iqhmYnCw5GhrmQvTa9/e0pTrsAMLGLOyI9X/ybTp1Qgg//VmRNnS24Gk3ww0KccOze8zMGPaunF/6IV/R6mKn1WLlYcjEk2EmjD8TPQUD+vGNmF5NkPRpEElK3pj3roaA9+HgKvNFHETj8cSNXY+Qsysta56r3u9OPyLQll0U3uqFR1bX9+yzjtC70lX+MZXtcFqms2SSRtVkXf02TBNO2xmPfTc1xOX3w2Yw2E/NRvdfOHlZgM2iISytHWZ0QM3t4tmo/1zMrwNYzgvuwuA4Hb+c/lo/NkPUXScE7N2seDi/Q3cQa9tkp7HlNt85IzBfnELX6jNZmzI+GBRqVdVNndLgL1h1PIVPSgMIl2orHQvITlrRaS2dPaxjra2jGZpCjwmvHhODz4ymQyYH+gQ64nqkw2lONVFvzWVg6SPdC40VixT/3kVPRAD6LjsoGamnKhs8Ck057bszjAMWkSmWDGAI2gxIsLx7gRwbAKnzszSjCdaaacNmfkIeqBjE8bHgYEORo+AX/AdqDj6dA9w42CHWzhFAiw/Y4zRSy3uyHmk6IsTPhBxLzUFzThJ5Gpgtn7riB6U84b94oliK/qhGBTuakumFbIZHJsXT/HSzZl4TaJuOnEQbq0LR4UpwtFaWQPfG5pIbLysPJmBPrbZRDsTrddPRcqFj29z3IIcd2I80HVaSX1mOdmmpssIsFfn01Suf2XVafbtX+AUXgMTvGGyPDXIzWnAGAPl+dJ0WXAIU77YgwZ63Kp21JjK8tJd2uDzaDBlV4PbGLG4qqm3A7twp8Fh325mzkVTaCy6STAd97g/0pfQQvKkfuFOLPhDzQCEUpo6FF+XdYJyfSIv55YEFfH+yJVyxU1CXMfe3N0DfAHnviqVkPf8fmrMe2GZEmyXpIZXKy0XR2T68XfrzaVLQHH08BgiDI3o+dV7NR0+KGGeZmiX46LNG/PvWQzH4w6TR8NyHMqN85+9ebAIB/3jTObj7ICPt0Qxy9W4QhwY4gCEWPhq7pClNxIDEP/b+5gH+TCjRk7LUR1UYp75pGCVwsuaioF6FBJIGPvRnK6kTYfD4dK0YGt2pf51NLDY5L9/ryPHr42GJMhHGlNRU/XcjAudRmv6FefnZGeQIZgyrwAIDUotrH1nawE7Dx/pAAiivu08DNmotLj4wv5zlZcFArlMCaz8K8Xh3wuTKwmxjlThqWWfNZEEvlCHAU4OXOprFgf5YUVjeS5RZvOzMUVFN9gLp6WyMurQzPSY8pOEwaahrFqBNKwGHSKJm6dwf5a1g4BDgKKKq5ffy1X5Nby8n7RcipaIAVj/l/cR6Yivbg4ykxINABvvZmqBVKsFOLSJK+7Ie60JYhIScVd/OrkVZSi06ulkZNoLx34C7Wjnky4TEA2HsjFxO7KMovtU0SvWUEU1BcI8SCPbcw4oc4nLhfpLe73vIxlSoNUd0oJhtM993Iw7xeikBz1/Uc+NibYWBQ6zIuv13NRri7pd5t3vrjFtaN6dTqY525/QbFPG52jLdOlVMVf87rpvd59cAjt6IBU7defyx9DAB4Jdods5SB89OCRgDdvY1vKvSw4ZHmdksH+eP3a9mobBDD30GA2iYxmsQyuFlzSXO19wYHvPCrXalMjrf3JqG6UQxXK65G+diCy4SDOYeUIn8eWNDXF3uUaqbqa5Nwd0t07WBDcV8GqAuwLdNMk/WQy+X4SZnVm9rVA9w2Ej18EWkPPp4SNBqB+X0UN6VtlzPR2CJdGeRsjiHB2muB2+IySZlxGo3AdiMnVAZ+exGAYiTSGEzhlZFf1YgmsRT+DgII27D3Q4WrFRc8Fh1386sxd2cCYr84h3XHUpCYUwlxC1tsU1xMdJFaVItOrhYQSWWIzyxH3wB7SGRyfHkiBctHdASH2bo/NTcrnt7nj90rQnJhzWP1f0StOQOJ2mfzw+QIvQFqtQGFT9WYZWmtEFO2Xqe4zgY5mePDodTRUi9bPl7TIbL33emnJyKmYnykG/Ya2UNEIxSaFg0iKULdLNHT1xa/KRsJX+nqTvatWHCZEElkiPKybrVL8fPIlydScTWjHBwmDTRCU3xtVJizSYQLTYWTBQe5FQ0QKa9B6mq6SwcFYEULNVNfezNKz5Eu1d/WkpBdidu5VWAxaJjazdMk+/x/oT34eIq81MkZrlZclNeLtLoqLhmo2+fhzd2J5M+9jWyCksmBq+nlsDfnGOU9cjmtrNViVtr4+1Y+hnVyAotOQ4NI2qbZj7zKRlhymRjeyQlWPCbyqxqx+UI6xvx4BZ2Wn8TIjXF4649bWP7PfSz641abHAODRqBWKCGzH/sT8jA+0hU0QlGKKqxuwmsxretw/yepAB8Y0IMYtTEODhZsbJwc0epjnvd78/nEpNMwVY82zOzf9GcivjyRip3XsjF9Wzyy1fxgPGx42DajC65nUM0VM8vqSW2PZ42HDQ9xrZieinC3woMiRRPsihEdseHMI4gkMkR7WeN2bhUkMjlCXS2QXqLIACzo69OmQe/T4NjdQnIctYOdGXIqGijj9P0C7HHxUZnRjbpPg1d7eOFPpXaHejY01s8OQc7mpOaHCic1z6yfpnY22Xem6mUaG+EKuzYw4HyRaQ8+niIMOg1zlSn5ny9mkOOPKnzsBVrN5ADg9IMSVCpFjwiCwF/zu2ts42GjuVqetOUa5HI5vnzZuNHP1367qTMD0xp+uZSBGcppD6lMDkEbNqAWVDfh8J1CDA52wrKhgRgW4gRLHhONYimScqtw6HYBdlzJwsHbbbMyUwVXCdlViPG1hUyu6N1QjfeuP/MIc3t1gE0rGw5/v56NHj76G1AX7rmFYZ2cEGlAm6Mlpx8Uk7L1v1zKwA9aDBBbw8cH71EmU6z5LPz2ahQ2X0jHmZQSsBk0DNPhsvsseTnCFbkV2v2SWqKSwpfLgaEhjrDgMklxqqndPHBIeX7ZCdhoFEvR0dkcPX1MoxHxrHhUXIt3/lR4BUW4WyJFKfTHUGY07QRsWHCZWpVDnxWhbpa4k1+ttQS7dJA/3tiVSHnMo4WuR2vLpLrIKK3DKaVkuz47jf8q7cHHU2ZcZ1fYmrFRUN2ktStc39jr2M1XyJ8j3DVvNtlaXEgBxUqcxaBhzWjjejpMoUVQ0yTBw+JaRHtZQyKTg0En2rz/Y098DlYffQChRIZlQwPx/aRwfDI8CEND2na0TSyTw5LHRFmdEK7Kcslft/IxMcoddBqBiw9LkVlaj0X9WzfSnFvRiO4d9N+8Ttwvxu3cKvwyvfUZq9d3JWLt0QdYpdZTFOJi0er9tITFoGHLtEhcTS8nJ1a+mxCGjZMjYK7Fy8YUwe7jMCnKjRQ5M4ZYXzvczK4EjQDeHuCHLZcyIJMDffztcCdPcbOL8rJGktJIcm6vDi901qO6UYy5OxNQL5Ii0MkceZWNkMoUIoJiqeL/wzs5PVcS6gAwOswZ/2opAQ3r5AQLLhOX06iZLnWvrO0m0vUAgK2XMyFXjl53sDPedPK/Qnvw8ZThMOlkFLzpQrpGdO5py8eESO0d0Rml9chVc2Q8/bZmL4e/mkCOinf334FEKsNkpQmcIVYeTn6sVH5LzqeWoounNekMKuC0TcNnS04/KMa7++9gwZ5b+OxwMo7eLWrT3yeSyGCnvIClldQizM0SIokM51NKyAbhTRfSMDHKHW7WXH270uDLE6kG1VlHbYyDgMPE1scIQH5SG3F9d5A//l3Q02CGIuGj/nC10v0+PhvRETK5HB8fugcAWDLAD0NCnHAjq0JjNBNQ9K88bax4TPI7MwZ7ARvl9YpelrERrrDgsihZD9XIZgc7PkprhbDhszC444ur5yCUSDF3501klNXDXsAGnQayl0dVXnk5wpXM9jwv9PG30zm1tGSAH8ZuukJ5LNTVAgnZzWJwxpa0DVFeJyTPj3ZRMe20Bx/PgFei3WHBZSKjtJ4cy1NnQT/daqaxX54jf/axF8DBnHoB1SUL/eWJVADAv28a55C65uiDVpcJtPHDuTRyzLisTtgm3i/PAww6DTQCuJFVSY5N747PJXs9jt0rQn5lI+bGtt5nJrW41mDWaOO5NPQLdDAo066L+b074I0+PpDK5BC3KAe2pKRWiG16dEa+OvkQc367CbFUjqEhjnizrw9Kapowf1ciaTr2rHmjjw82nDW+1NQv0AHXMhTurQv6+uLXK1kQSWQIc7NEcY0QtU0SeNnySRGrsZ1dSYGxFw25XKGjcy2jAnwWHT72ZriXTxV7i/KyRkZZ/WP537QlfQMdcCalROPxSVHuqGoUU5qhW7Jzlmk8XACFG7dQIkOomyW6eLauJPpf4cX863jBEXCY5A35m1MPyUkWFa5WPJ1aD3I5cDev2cjr7/maOh7ahK1+upiBsjohQlwt9K5aVeRXNeL7SU/meqti741cvNpDke2pE0ratP/jaaOS104rqUUXZbmqQSyFDZ+FsjohCqsb0dvfDnI5sOdGDl7u7Ar7Vjae7b6eg81TOuvd5ptTD1FWJ8QPj5mxGhPhArkyW6Gu8KiNIesvoU6o2423rE6IygYxAhwF+GpcKCQyOd7YnUgZz3z3Gat93mph+KYPR3MO+X6HBDvByZJDjmnOifUmFxBDgh3J3oHxkW0v599WfHkiFYduF4BBI9A30AFX0hVqraqJLTsBG542PErG4HlgVJgz9t3QnFoiCGBhPx+M+ZGa9egXYE+WyAgCJuvPqWkSky7Nr8V4vdClt7akPfh4Rkzv7glnCw4Kq5u0KjmqJNm18dIPl0lRLWdLrkaDVEvxHxXjN18FABxfZNzo7eRfrmuMST4OGWX1yK9qQIyvraLMREBr7f9FpFEshTmHAbFUDhulqNq5lBKMUjYO70/Iw+QoRblr/8080Aii1ZMvgGL6xVDz6StbrsOCy2y1vDkA9P/mIr46mYrd1zWnsLTR8kKujRFhzuCxGPjqZCrF56RvgL3OxuqnRWvGykeGO+O40qtkdowXzqWUoKxOCFszFvwdBbiRpegDseQxIZHJ4WtvBh97zfLni8DOq1n48bxismVshCv5vs05DDSJZaARisBq303NjO2zxtvODHfzNR2W58R4aw2UctRK2DtfjTZZkPDLxQxUN4rha2+GIcHPX5P180J78PGM4DDpeFspLLbxXBo5yaLCwZyj10r8vJoB1+djjRObyiirx9X0cpixGVjcX/dYrzr6jMNaw4n7xejkagEXSy5qmyQQcJht3oD6NJDLAVtlJoNOo4FOI5BSVIsopUnc6QfFiPaygYM5G+X1Ipy4X4TxXdx06n4wdOii/H0rHwv66m9YTS2uxZ28KowIddbrJquLjefSDW/UCr44nopfLmXgpwvNfSVOFhx8+XIndF931qS/y1hY9Nadc6osnVgqR6SHFcLdrUhfoTERrjiu7Ffp4WNLrqIHmGha4mmz90YOPj50HwAwJtwFpx8UQyyVK5RCmxSZn+ndPfFHfOt8lZ4GC/v5ktYV6jGEGZuBWTFeeHM3dcx+fKQrHikdsm34LIOBvbGU1wmxVenCvGSg/wsvLteWvPhX/xeY0eEuCHAUoLZJgo1aRh3n9dbdHzBzxw2yWdWKz8JCI83hJm25BpFEhgV9jXPJ3Xo5E/vm6le4NJaN59Ixs4cn2Awa8qsaYW/OxouckeQq3XvNlY20mWV1ZH23pKYJnjY8iKVyXEkvwzilrPK/SQWw4DJ1KtXq64n49UoWZukJSAFgxA9xIAjCoCqpsRjTxKrPI0Z9koZOI/DD5HCsPJysc/u2hCAUdf3W8HJkc4AxKcod1Q1i0nl3fKQrzin7CwZ2dMRVZXmirw6rhOeZAwl5eF8paT8i1BkJOZUorxeBTiNISYARoc64llGB8uesz8PX3gyltU2obBCDx6JT9EZe792BIh6mQqUBAph2wmXT+XTUi6To5GphUDn4v0578PEModMIvKcUkvrtajZlkgVQjIDN1xOA7LreLNP+pp4yTUs+P54CGk27Vog2xv90Fa/rOY7W8MO5NLyvfM+5FY1wtmjd9MfzhKp5ls9WBCGpRbXkCPTN7Er0C1RcfM6klJATJOcflqJOKMEr0bpFvXSVpI7dKzLKz+Vcagl87AV6M2fGsGZ0CPoFOuDIQv1NyhEGpOBVvD3AD3w2o830VgzxUidn/G5kWQlQBCuBTubILm+AGZuBISGOOJtaDKlMDn8HAWz4bCTmKNL5XjZ8VNSLwGLQEOL65OPKT5N/kgrw7v4kyOWKBVFaSR2yyxvAY9FBJwjI5EC0lzXqhRI8eMouw8YwOdqd7MERqP3tOFtwFI7Jx6geLlO7epABSoyvLTq5WprkOAqrG0m123cG+rf3ehigPfh4xvT2s0P3DjYQSWX4RovmwJxYb53liU8O3SebVVkMGn6fFa2xjbWWiZWtlzORW9GACHcro3Ud6vU0GLaGqgYx/krMx0Jl5qWwuhHednyT7PtpobrAqbxiWHQa2feh+rxvqk29XHxYigBHATxteBBJZDiXUoJOrhZax6IBkClubeyJzzEYVMzcfgMymRyLBxhXWtPGrJ5e5Gh2R2cLvXLTIctPGrXP12K8Mfi7S499TE8CjQDm9vLWqv+gix4dbJGg7FUZFuIEHouBk/cVzbgDOzrgakY5ZHLAz8EMhdUKobJQVwuwGS+Of8e+G7lY9MctyOSKUktBVSOSC2vAZ9HBYdIhksrgZcuHn4NA6xTJs2Z0uIvSWFJhtaBeJv54eBDWa5Hr33mtedH21TjjxBeNYcOZNFLt9nGnzv5LtAcfzxiCIPDBEIWz6MHb+bjXomHKksfCIj39GZ8qa7QA0NPXVkPlVNcoXL9vLgAA9s7tatRx/nY1G3/MMW5bQ9zNr8aDolqMj3SFTA4UVjUh0OnJXXXbEhrRPNmiCjBU/6+oF8HNWvG5qySU86sa4WNvBgaNQEmtEAXVTRisbD47l1ICgiD06mnoCkx+v5aD6UbY1f99K1/vRIrAQMOvujZBRb1IayNfSw683k3vxMCg7y7qfE5Xr4upGBXmgrMPWnfzHBHmjNNKhcoRYc4QS2XkNMuAIAckKSdmIj2tkabsH+jo/OJkPTZfSMfSA3fIwKOmSYLrmRVgM2jgshioqBfBgsvEyDBnyg37ecLfUYDEnCqwGTSKhkyMry0Cncw1PHsmdmnWUJob6w0Hc83JwMchq6wefyp/17uD2rMextAefDwHhLha4KVQZ8jlIK251Xm1pyfcrbUbje29mYuqhuYAY+8czVq/tuu6SCLDP0kF4LEY2PSKceOZE3++hnUmcL4FgFPJxeCxGOjpY4tGsfS5zYCoGjfdrHnkxa1l8CGTg/R1qRNKyACksLo5qLqVU0nemK9llEMul2NoiO7gI620TudzB2/l4xUDgnFL/kzCxJ+v6Xy+Vk92BQBm/XoDgEIa/60/bhnVeBzhbqV3JalPgrut9T9mxXjpVDPVpmfDoBFwMOegvF4EAYeBKC9rPCisQb1IMd0U7GyB28rgI8zVknxvXrbP3zncErlcjjVHH5DliFd7eKGmSYLTD4rBoBEQcBgoqxOCy6RjQV8fbDpv2kZkU7FkgB9+uaRoZrbkMSkLrRUjOuK1Fp5EAY4CipPtk2QGW/Ld6YeQyOTo429nEoXo/wLtwcdzwrsD/cGkE7j0qAyXHpVSnmMz6PhkeJDO1/b68jz5s6MFR6M/QyaH1q7rhXtuoUEkwZAQJ7J50hCnH5SYzCBpx5UsdPexQUdnc1Q1iFFZLzJKg6QtYdCaZeAdzTnkCka1QvK1NyMdPVWyzAQBUr21QSiFl43iBpRVXo8wN0sAimxPhIclGDQCBdVNyK1QZEb8HDRll7lMOqRKgzJt/HEjV282TMWT+G3cy69BUm4VfjibplMxsiVeHxzF/oTWT0IEu7Rt1quHjw3K6rRnABk0QmsDpUQmx5E7ihJNH397MOk0clw40tMaNOVUEwB0dFFIjwPQuUh4XmgSS/HWH7dJw7N3Bvohu7wepx8Ug8WgwcGcg7I6EZh0Au8M8scP59IojrDPC162fJTVCVFWJ4IZm0EJjuf37oDyehE5zaJC/bv5elwoOEZe8wyRWlSLQ8py3pKBz1a/5kWiPfh4TnC34WGK0ll03bEUyFqsBPsF2qOXDunf6kYxssubbzRva4notZksAcDrSnfT68v6GXWcpx8Um0R6XcUXx1Pxag8v+NqbobJBjCaxDD72z84HgSAUFvECDgOOFhxU1IvgYskldVW6dbBBRqnis1YFYbZmbNCUQYpU3qz3Ud0oJlfCuRUN4LEY6KQMKBJyFE6vMb6a36mqBKFLITO/qhEPi2sRZGSpavdszV4gYxi5MQ7fnaFmC6brEL9T8dVJ471SVLRUz9TWp/QkzI7xxoLdiVqfC9fTLKvSsugToPiOVM2lnT2sUNMkJoNQDxs+aoWKn82fYwXfwupGjNt8Ff8kKQTEVo0KRkJ2JWn852tvhvyqRtAI4L3BAdhyMQNVDeJnfdhaeS3Gm2weVl9XOVlw8EYfH4xTahqpGNfZlSKeZ0zjtrF8fTIVcrmiLyjYBN5I/xXag4/niAV9fSFgM3C/oAb/tGiMIwgCHxuZ/WDStTefRmlJB154WIoHhTUw5zANeoioGP/TVfymZ7yytSz5MwkL+/nCw4aHsjohmsTSNl8N60IslcPViouOzua4nVsFglDU+29kVYJBI+CoLK942/LJJlxHCw7EUsXqUJW2BhSlDVUPjsr0L8hZ8b5SixSrsu4dNPUFVDewhOxKnWqw+27mYq0RJbBXot3R3cfWoEKqLtTHFjs6m+PDYYFYOdK488QYWjY8e9vxTSrZ7W3HR4S7lc4mXrFUe1CuHviplFnTlSvpICdz5CszHVY8JszYDNQp92/2nKr3JmRX4KXv43A3vxpWPCY2vhKBf5MKcC61FBwmDT72ZrhfoAgC3x0UgN3Xc1BUo12s8FnzcmdXHLqdD6lMDj6LTvluPxkepLWpWL1n6e/53U3Wk3E7twonk4tBI0xbxvkv0B58PEdY81mktseXJ1IhlFBl133szfCaHmvm39Wawnr62mrUsuOzKrS+bsj6S5DL5UY1MqpYc/SBSY2zFv5xC+8NDoCTBQd5lY2oa5KYxGG1NZhzGAh2MQeNIHAtQ/FZvdHbB/8oR0PHRbohTumIObyTE6maGOxsQd6g7ARs8sYlksjIYEWVFlY1kj5SevBEeVlr9OTkVzXCy5YPmVyR8dLG4TuF8DSiv+DoXYVCZYSHpeEPQA8cJg3rJ4ZDLlc0HxsiytPaYIOyDZ+l0ciaZ6S9vbFMiHQjGwFbwqLTyL4NdULdLCnWAmuOpuDLEylkxks9QFJlv1SZLzmeD+8aFTKZHD9fTMfEn6+hrE6IAEcBfp4Wia9PpuJ6psK7xc2KpxZ4+OPo3UJkPEHJrq3p6GyO65kVIAhAJG0uCcX42qJPgD2pV6Jifu8OZInMyYKDcC2O4I/LV0rPrDERrs80Y/si0h58PGe82sMLDuZs5Fc1YqeWi/wCPWJiHx28RxmJPfpWjMY2TLr2iH/9GcVI2q2PBxh1nClFtRhtwtSlXA4s2nsbnwwPgoM5G1nlDSivExqtIfGksBg0SGRy3MuvQU5FAwQcBpYO9sfJ5CLkVzXC3ZqHXn62iEsrB4NGYGBHR9IfJMrLGrmVisyGvYCDRpHigshl0cmVcKNI8b10UF6gVBd3AYep1W5bVY/WtUKTyuQ4n1qC5S/pzoYBQGWDGHmVDRoKj+oY4zXz8fAg+NibYcOZR3hUUqfzPFLx9kA/MA2oibbstRgY5EC5mTwpdBqB0REuFKEzdXrqGIeM8rTS0NzZeC6dPDZXKx454q7qleIptV60ufY+K4prmjBtWzzWHE2BWCrHsBAnrBkTggW7b+FhcR1szdjoYG+GRyV1IAjFd3zhYalRk03PivcGB2DzBUUDLJ0gKJmrFSM64sO/72q85ke1hlljtY2M4Up6GS6nlYFJJ/CWkSKP7TTTHnw8Z3BZdFL6/IdzaWRdWYU5h4kv9Mipj9oYR/7sYM4hDd1UiKVyrWOc351+hNyKBljxWQZvaCrm7kww2iXXGEQSGZbuv4PPx3aCmzUXBdVNKKhq0vCuaYupTJFEhgaRFPYCNiZEumFshCt+OJuGh8V1cDBn4+vxoVj+j0KZc2o3DyRkV0IkkSHAUQBLHhN5lY0gCEXzYW2T4jvjs+jgKsdzG8RSyOVysnG1rK65QS5AS+8GVym/fj2jXOeN/sT9IowMMxwA9vz8HOIztWe9AIVL7ZSu+qdnRoW5ICm3irzwfz8pAmtG6y77TPz5moZ9uSFMrSPh7yAgMxLacLHU3twc5maFdGWWY0FfH3zdYoJH9d0DzeUZS64iy1imxzX1aSGXy3HkTiEGf3cRl9PKwGXSsW5MCMZEuGD61ngUKdV3PW14uJNXDRoBfDYyGMfuFuo9T541HZ3NUVEvJLOI6hNS83t3AI0gNNRM1Q06h4Y4wslEooZyuZzMekyKcidH7dsxnvbg4znk5c6u8LU3Q1WDWOuY28udXXXqYjwqqUNyQXMD3wdajOFSlSn/lsR8cQ4ymRwzeugu7bTkpR8u45dphiW4jaVWKMGSfUn4YmwofOzNUFTThITsSkyKcieDDi6TrtMb5XGw5DHhbcdHZw8ruFhxsT8xDzuuZKFBJEW0lzV+fKUzPvr7HopqmuBtx8frvTrgx/MKOfxJUe5kKcbX3gzmHCbZ3+FqzYNEuTJj0AgQBAFbviLLUNskIctqgU4CchsVZhwmORmjakRuyfnUUpMpTqqmNXTx9cmHeE+pCTEi1BmDgx0xQU0z4UmZ2MVNZ1P045JcWIO9WlxOVejqLQlzt0SGctTZ246PsZ1dsWxoYPOx/nwVG5Xff6MyA6JqLH7W5YrcigbM3HEDb+xORGWDGB2dzfHvgh4orG7CrF9volYogb+DAFwWAzezFX1Ma8eE4K/EPNx8zlxqWzKju6dWE05nZZNp76/OUx73sTejlAi/HhdmsmM5m1KCxJwqcJi0VqlLt9NMe/DxHMKg0/DeYEXQsD0uEwVV1BsDjUZg9ehgna8fuuESOS3DpNOwS8u0g5u19hXAd8ryS8JH/Y0+3s0X0kk1TFNQXi/CvN8T8NmIjujobI7yehH+uZ2PSVHu4LPoqFemth/HPE0bVQ1iZJTWIyG7ErdyqiCVyRHsYo6vx4VidLgLZv16A6nFtbAXsLFlWiS+P5uG4hoh3Ky5mBjlhr9vKVZbgzs6QiSRIVM5eaTelMpXll/Muc0NiSqtDQ9rxY3Lktfco5NRWgdfZYZKpSHSkgaRFJN/uW6Sz0DdqFAb2+IykVJUCyseE8uVjcliE5ZITrdSAMxYvlSuTlviasXFqQfFGo8LOAw4K/uOAMUkCwBKf41M3jyho/q/r7Kc9qxKFk1iKTaeS8OAby/gfGopWHQaFvbzxa+vRmHN0RSyrNrH3w5NEikeFNbAjM3ANxPCsOt6Dm7lVD2T4zaWub28sfNattYG4Y+HB5F/g+qoj+2vHh1MZiGfFJlMTk51zejuBXsTCZX912gPPp5T+gXaI8rTGkKJdtn1CHcrveNiWy41O4n28LHVED/KrWjUKtu+4cwjPCquhY0ZG5+PNU5Q7GZ2pdZJmiehulGMGTtu4L3BAejmbYN6kRR74nMwOsIFHez4aBLLUNMkgbcd/7GzIPYCNtyteYjytEYvPztMinLDazFe+GR4ELp4WuOLEyl4/6+7qGoQI9DJHAde747zqaXYeS0bhDJVnV5ST964R4W7IDFHkZK34bPgZsUj+xpUPjDaejgcLRTZEJZaeSWvsll0rc6AINjT5IOhgeQorMq90xSol6GeBlGe1mTpRB1PGz4IgkClUrhPlalSZaVCXCzwYwtRvvf234G/oyJQvPyozOQZHH2IpTLsup6NXl+ew5cnUtEklqGrtzWOLYpBTx9bjNoYh7PKUdpp3TxwN78a2eUNcLLg4MdXIrD5fDru5D2/PR6AonzGYdBxJ68adBpBMaOM8bVFtLcNPjp4j/Ka8ZGulIB6cpTpFkdH7hbiQWENBGwG5vXyNvyCdrTSHnw8pxAEgfeVJZMDiXlIKdJMr78/WLOkomLtsRRKWlmbjLou8aAB316EWCrDhC7uGnLtuli09zZOLo41altjEUlkmLYtHvN6d8CESDfI5Ap58U6ulhgY5ACpTI6M0nq4WvEowRVBaB95NGMzKP0TJbVC5FQ0ID6rAhcelmJPfC62XMrEZ4eTsT0uC8U1QtiasfHh0ADsndsVWy9nko6sb/f3Qy9fO6w+qvj3S6HO8LYzI11Oe/ragkYjkK5K3yuPT642u6o6EnuBsg+kXgRntSyHrfImn2xiM6+fpj7e2C2gMGcDFJoRP5zVdGJ+UdBVtnS34UEokZKNoxYq/x61CaahIU6UzODem7lYvPc2AEXQfPGR/iySKWhUBuMDvrmAZX/fQ3GNEC6WXHw7IRS/vhqF/Ql5mPDzVeRVNsLNmotxka7440YuyupECHIyx1fjQvHBX3dNfm61BfN6e5NlTgsukzL+rU3JFADpRAwomkxNNVorkcrwrXIx+FqsNyVb2U7raA8+nmMi3K0wNMRRIbt+TFN23d6cQzrEamPo+mYTL3sBR6tOiK6muw+U42onFhkfUAz89iIOLzBdA6qK6dvi0SfADsuGBoIgFL4lNU1izO3lDRadhrSSOlTUi9DV2xrmHAbkcoXMub2ATSkv1QklYDPo6GDHR6ibJbp6W6ODHR9cJp3sJ7HmsxDkZI5Xot2x6ZUInFwcCzaDjiHfXSLrze8O8sebfX2w6UI64tLKwWHSsGSAH5rEUtKqe0iwYgw5VTni562caKlVm0bisRQBkkoXRCSRwUEt+OAo08S5FY0YHa47y7VxcgSWDjZOWXHLtEgM6uioVVLcGFTj3J8fSyH7HV5EdHnbOFtwUC9sfl+qIFa1vSojYmPGpgiU1atNuczcfoMcvTY1OeUNWHvsAbquPYMP/rqLrPIG2JopmsTPvtMLPnYCjN54BZvOp0MuVwTFHZ0s8Pu1HIgkMvQPtMe7g/wxf1ci8qtMO9bcFizs64Ntl7MglsrhYsmlLKjm9+5A9oSp81qMF6n9Ee5uSTpNm4K/EvORUVYPaz4Lrz6ha/R/nfbg4znn3UEBYNAInEstxZV0TZnrmT10+74U1TThekZ587bdPTUmJ/KrtJdf9ifkITGnEhwmvVUBxexfb+qdggAU+gqtZd7viZDI5PhpSmfwWHRcy6jAgYR8vD8kAEFO5qhuFONaRgVCXBUOrDRCkdnIq2xEoJM5orysYcljok4oQXppPZJyq3AjqxJcFh0DOzpgfm8ffDg0AAv6+mB4qBPoNAK/XM5E1OrT+PSf+8ivaoSLJRfbZ3TBG3188NvVbLKfYMWIjvC05ePPm7moUGYv+gcqJnQuK5tRu3gqLoAlSuEmcw6DrEGrS9/z1OrSqlR/flWjTr0PQHFjHBDooPN5dQYoJ4daSvAby+qjD5CUW4WDt5uFnARshlFBqj4jvaeNSg5f2+N0tVWyKlPlaqX4GyupFZJjtjFKr54hwY74elwo5W+ry+rTmP3rTRy7W6jX4M8QcrkcWWX12HwhHSN+uIzYL8/hpwsZqG4Uw92ah4+GBeLCu30wOtwVKw8nY8TGy0gurIE1n4UPhgTgUXEtjt8vAo0Alg72x4gwF8zdmaAxRWcsT9MvLcBRABqNwN38api3CBZdLLl4LcYbk7dQe556+thiy6XmcqAp1ZiFEim+O63Ieszv3eG5FZR7UWj/9J5zvGz5mBTljp3XsrHin2QcXtiTop/AZtDx6UtBmPWrZuoRACb8fA2PVg8Bk04DjUbg/Lt90GPdWco2usovY368gpSVgxHsYoGpXT2McrYsqmlCg0iC/oH2OpsIRVIZaISica81fH48BeM6u+Kv+d2x6I/bSCmqxcojyZjXqwN6+dvhJ2Umgs+iY2SYC2oaxTiTUkJOhIS5WcLDjweZHEjMrkR+VSPu5ddoyHu3xMfeDNO6eeDlzq6QyuR4588k7FdmOObGemN8pBvK64RkE9rcXh3AoNOQVVaPjNJ60GkEuitvVPlViuBD3U1TPfhg0Jq/W9X4Zp1QAkc9TW0pRTV63WTVEUtlYNJpGBHqrFP/YskAP50mbIBCdl2d+X18yJ4HfYS7WeLInUKjjvNJGBDkgFPJms2k6hRWa1/1CzgM0NWCCIlMDgZdTclUKEFWeT0CHM3RN9ABG86m4eLDUnz+cieMCh+CbmvPoESZ9Tj9oJg0a4vwsEK0lzX8HATwdxTA0YIDMxYDNLXvXiiRIr+yEdkVDcgsrUdCTiVuZlVQfEtohKKHa1o3T/QNsIdMLsf+hDx8dSKV7C8aEeoMTxsevjv9CI1iKWzNWFg/MRw3siqwcI9uvRdDPM7f7JMwv48Pluy7DUBxHUxS6035fGwnshSjjnpAMK9XBzjryOw+Druv56CgugmO5hydE2jtGE978PEC8PYAPxy+U4DU4lpsu5yJub2oq9a+Afbo7W+nc2Lhs3+TsXKUYjrGxZKLFSM64tN/7lO28VWKDbVk+rZ47J3bDZ+N7Gi0rfaqIw9w4PXuOJdaqrP5TiZXCJ7pkrfWxZ8JeciuaMD2mV2w4cwj7InPxabz6Yj0sMJ3E8OxIy4TiTlV+PtWPrzt+FjY1wfppfU4dq8Qt3OrcDu3CgI2A7H+dpgc7Q5zLhMNQglyKhpQL5RAIpODxaDB2YILDxseunrbwM2ah9yKBmy5mIltcZmobhQr5JT7++HNvj6QyOR4c/ctVDcqGlNVjrN74hXeEz18bGGuXGnfU05DqN+s1YWpLNUmeGg0AjwWHQ0iKX662NxA3JKUwloU1xonhZ2QXYmu3jZ6O/RdWmHu52TBwcwenqg2wgNEV7Bjal7u7IrxkW5aewFU6BrBZTFo4DBoIAiF8F1tkwQcJh0EQSDExQJXM8qRmF2FAEdzhLpakH83+27kYnaMN84s6YXB310iSxpOFhwUVjchPrNCQ0ODpjQklMrkaBJLdTr7MukEunhaY1gnJwzq6AhbMzakMjkO3srH+jOPkKMURPO1N8PcXh3wV2Ieac/Q1dsan40MxtqjD3DOwESTPsw5DJ0S9W3BOwP98PPFdIilcnjbUQOPV6Ld4WDOpmQ4AEWJZoNaH9Ki/qYT/moQSbDxnGLfC/r5mMyU7r9Me/DxAmDFZ+GDoYFYuv8Ovjv9CMNDnSm9Girfl/OpF7S+fue1bMyJ9SaFcKZ188Caow8oGY9HJXXo7GGlUT+9nlmBsynF6BvggKRPBiL0s5NGHfPYTVdw/p3eGrP36oilcljxmKhspXlVfGYFxv54BZumdEa0lw2W/X0XN7MrcSe/Gov6+2JCFzd8eSIVGaX12HA2DX4OZlg2LAj1Qgn23cxFXmUjjtwpJFfhzhYcdHSxgLs1D9Z8Fsw5DIikchRWN+GbUw+RXFBD0UbxtuNj3ZhOiPJSTEws+TMJVzMUGZfvJoSBQaehulFM2ndPU1slkTbsSrdbAKR5lzmHQQnWRBIZGXzoW8nfzq3CvJ0JRn12B2/lo6u3DR7q0HoBgLf3JRm1L0CxOuUw6VjSite0NY7mHINKqS0DbVWwIZbIwKDTYGvGRmmtEMU1TaSEehdPK1zNKMf1zHJMjnYHQRB4tacXPvjrLjZfyMC4SDdYcJn4ZXokXt50BfUiKVwsudg0pTPu5VfjfkE1Uotq8ai4DrVCCWRyaJQ/uEw6PGx48LDhIdjZAl28rBHmZkne7GqaxNgRl4nfrmaTmiK2ZizMje0AGo3A8n/uo04oAYdJw/uDA9DZwxqv7rhhUMdFHxZc5mOXaYxFfSES6mpBqg0L2Aw0qQXnrlZcvD8kAN1bZG/ZDBol8Nj9WrRJA4TtcVkoqxPB3ZqH8ZGm07f5L9MefLwgvBzhij9v5uJGViWW/3MfW1oIe3WwM8OcWG/SKrslMV+cQ9a6YQAUwcrFpX0QveYMZZuWgYeKV3fcxJ3lA2HBY2LHzC6Ysf2GUcfc+6vzuPJ+X40LhTqVDWK4WHJb3fxWUN2EkRvj8MnwIJxYHIsP/76Hiw9L8cXxVIS4WGDDpHDEZ1Zg6+VMPCyuw8rDyfCw4eGVaA/4O5rhVk4VzjwoQXJhjUJJtVp/5oBGAF08rTE52h3DOzmDTiOQV9mAJfuScD2zAgwagfUTw8mMxnenH6K6UYwOdnz0CVD0azSJpaQgWRe10eRy5ZipFZ9FkcdnM2g6reDVaY2w1R83crF6dAje3X/H6NfowtmCg/GRrqgXSnDkbuvKKT9N7Yy5RgZMrWXkxjh81krzOyaNBpFURt4AnS04KK0VIr+qkXQqjfWzw4azaTidXIxGkRRcFh1jIlyw5VIGMkrr8cXxFKweHYJAJ3NsndEFr/12EzezKzH71xv4aFgQVo8KIcssTWIpahrFqGkSg0GjgcOkg8ukw5zL0JjMkMrkuJZRjn+SCnDwVj6ZKbPiMTG3Vwf42pvhyxOppH9JZw8rfDUuFFfSy/Dy5is6y6rGwGPR2zzwAKgGf3N7dcBbfyjKQ3bmbNJTBwC+fDkUB2/lkxo5KqZ09SBHv/sF2KN7B+PKkMZQ3SjGT0pl38UDfA3aBrRjHO3BxwsCjUZg1agQDNtwCaeSi3EquZhsHlSxsJ8v/k0qQKGOG+kf8TmYqJx3dzDnYPXoYCz7mzofH+xirrUHIubzc7j9yQD09rfHS6HOWp0jtdF93VmcWdIL/b7WnpUBFA2V3nZ8ykXGWD47nIxrGeXYMDEMp5KLsfJwMu7mV+OVX65jTLgrDrzeHUfuFGJbXCayyxvw+fEUsOg09A+yx9xe3ujiaY28ykbcL6hGUU0TyutEqG0Sg81Q3AzcbXjwsTdDpIcVbMwUK+CKehF+v5aNzRfS0SCSgs+iY9OUzoj1U1ivX00vJ5UVl4/oSPZ0XHhYigaRFM4WHHRybTbNS1OO43rZ8inNiYduawonmYINZx4hSYuhWmuZ0cMTbAYdqw7fM7xxCy618TjqJ4fuG95IDSadgEgKVDUqgj1vOzMk5VXjQWENBikNFDt7WMHNmovcikacuF+EUeEuivc/MhiTf7mOXddzEOZmiXGRbujqbYO/Xu+O+bsS8aikDov23sZ3px9icrQ7+gbYo4OdGezNOVrLX3K5HNnlDUjMqUR8ZgVOJRdTfHB8lT1InVwtsflCOtYpJ+EsuEwsGeiH/oEO+PDvuwaF4wyhLuj3tPhgSAA2nkuDWCqHswWHck2Y0d0THez5mLTlGuU1r/bwomjOfDMhzKTHtOViBmqaJPBzMMOIUNP5Wf3XIeTqwgPPATU1NbCwsEB1dTXMzZ+NrfrzzLpjKdh8IR0ullycejuWHNdUcT61RG9m4v6KQaTaplwuR9AnJzRGJnUFF4v7++Gt/r6QyeTw/vCo0ccc6mqBdwcFYMpW/WqcnjY8ZJU36N1GFw7mbHw9Lgx+DmZYc/QBOY3BZdLxWqw3Jke548LDEvx+LYeiQsmgEQh3t0SYmyVC3SzRwc4MDuYcWPGY5Aq0qkGE7PIG3CuoxsWHpbjwsBRNYsVqMsrTGmvHhpDmcDnlDRj9YxzK60UYE+GCb8aHkb9ryi/XcTmtDK/FeGHZsOax508P3cOvVxWlMX3B49NmVk8vvUJiK0Z0xCvR7vBZdqxV+x0R6oyTyUXkZ2gKhndywmETNLOOCXfBNxPCsCMuE8v/TUYffztsnxlFPr/+9CN8e/oh/B0EOPZWDJnJ+OZkKjacTQOTTuCb8WF4KVShhyKSyLDlUgY2X0inrNZt+Cx42PDgZMkFW7mSrmmSoKCqEXmVDRr9FRZcJgYEOWBMhAuseCz8cDYNR+8VQi5XZOWmdPXA4v5+uJRWho8P3nvibIWAw9DILrQFLAaNFHuL8rRGtw42WH/mEbhMOthMGlmS9LTh4ehbMRj+/WWNRYqfgxkeFisC+B9ficDQENNNVZXVCRH7xTlF39XUzmQg2o52WnP/bg8+XjAaRBIM+OYi8qsaMa9XB606H+rTGNpQlV8AoLRWiC6rTxv9+w++0QNhbpatft2bfXxgY8bCin+T9W5nTAmGIBQW5tqaWcdHumLZsCBkltVj1eFk0q/CjM3AK9HueLWnF0prhTh2rxAn7xdrbbIFVF4sisZYbb8n2MUcr8V446VOzuQNKLWoFlO3XkdJrRBBSkVU1TjtnbwqjPghDnQagfPv9KYYUQ3//hLu5ddg3ZgQDTtwFX/O64Zxm6/q/VxMzcnFsRj47UW923wxthOWHqCWcNRvBk+LfgH2JjGmi/K0xr553ZCUW4WRG+MgYDOQ8PEAUmSsukGMnl+cRW2TBN+MD8WYCFcACsntxftu45Ay6F3U3xdv9PEhU/T1Qgn+vpWPE/eLEJ9ZYbAUwqLT0NHFHBHuVujjb49ITytcelSGPfE5OKv2PgcGOeDtgX4wYzOw6vADHL9fpGevxmFrxn7qirMAsHlKZ7y5WzFSbydgU7RS9s/rhop6Eea0KNW9PySAzPy4WHIR935fkx7Tsr/vYtf1HIS6WuDgGz1MJlb2/0p78PF/zunkYsz+7SYYNAJHFsZojDlWN4jR4/OzOvUF1k8Mo7ih7ruRq3ED0ZdyvfXxAFjxWbiaXq6RAtXHlmmRiEsr02oOpY6XLR+ZBvoYaISidKQtS2Brxsaa0cEYEOSA4/eKsP7MI7IezqLTMDzUCeM6uyHayxo5FQ24mV2JpNwq3MmrQm5lo1bDMTsBGx3s+OjRwRa9/e0R7GJOXojkcjl2Xc/B6iMP0CiWIsBRgN9mRZHKpVKZHC9vvoJbOVUYHe6Cb9XSwuV1QnRepQjiNr0Sgdd3JWp9v/HL+iFq9Rmtzz0OqrHJad08KOZb6uyb2w0fHbz71AOJx0EV8KwdE0IK5D0uGWuGQg6g69ozKK0VYvvMLujj36yzsvFcGr48kQpLHhMnF8WSpROpTI6Vh5PJ8zvQyRxLB/mjl58dZaS2SSxFalEt8qsaUVDVCJlcDgIEuCw6XCy5cLLkwMuWDyaNhvsFNTh+vxD7E/LIkVuCAIaGOOHNPj7wsuXjpwsZ2HQhzSSZJH8HgU7jybZk7ZgQ7LyajeTCGo0G19divLB4gB+CPjlBec2YcBf8pebpcv3DfpQR9iflXn41XvrhMuRy4I85XdHV28Zk+/5/pT34+A/w2m83cSq5GF08rbB3TjfKxQ0ATiUX6x01vP3JAIo0cPCnJzSCFV2rSQsuE7c+HgAajSDT0MZyfFEMvjyeanCV2snVwijPCQdzNkUHQZ1efnZYNiwQvvZmOJdagh/PpVOcO12tuBgd7oI+AfYIdbUkezOEEikZgNAIAgIOQ6O8BShWu2dSSvD92UfksXbztsGmKRGUz1Yly27GZuDU27EUW+99N3OxdP8djZUeoPCeKakVgs2gIWXlYHh9YHypyxicLDg49XYvLNl3Gyfua07TRLhbooePLb5vhYx6qJulSfpJWoO/gwC5lQ1oEElxZkkv5FU2Yvq2+Mfe38gwZ3w3IQyf/nMfv13NxqgwZ3w3MZx8XiSRYcymONzLr0FXb2vsmBlFTlbI5XIcul2AFf/eJ6e4fO3NMKyTE/r42yPQyZzMorRELJXhUXEd7hVUIzG7EmdTSkjNEEChvjs2wgUTo9zhZcPH8ftFWHvsAXIrjGvWZtAIneO8wLPJWAGK0WgrHhNbLmWCSSdAIwgyM+Rtx8fRhTF45ZfrGg3x6qW2D4cGYE7s4wnnaUOmXDAk5lRhRKgzNkwKN/yidtou+Fi7di3++usvpKSkgMvlonv37vj888/h798s7SyXy7FixQr8/PPPqKysRHR0NDZu3IiOHY3rPm8PPowjv6oR/b++gEaxFF+83Enr+NeCPbf0Noaql18q60UIX3lKYxtvW77WaYoZ3T1Jd9MB31zQWb7QxoV3e2PJviSDFt49fWxJhVB9mHMYcLTg6LxwTo52x+L+frATsJGYU4k/b+bicFIhRercgstEDx8bBLtYIMBRAF97AWzN2OAwaWSGQyiRIru8ASlFtbieUY6TycVkwMBh0vDuoADM7O5JCQQvPyrD9O3xilXxyI6Y2s2TcmxjfoxDog5H0a3TIzHr15vwtuPj7JLe8Hz/iN7PQcBmYGxnV4OZJRW/TItE/yAHbI/L1FkO02VjrvMY1HoFBnd0NEkZwBCTo92x+7pCU+XO8oEw5zD1flbRXta43kJzoyWDOjpgSlcPTN0aDwaNwKX3+lCCxrSSWoz8IQ71IikGdXTA95MiKEFFWZ0QP11Ix574XEpQT6cRcLPiwt6cAzaDBjqNQFWDGKW1QpTWCjVGhHksOmJ8bfFSqDMGBDmASaPh2L0ibDjzqFUZCkPlTB97M6S14m/4SaDTmkumPvZmeKufLxYoxc9aZj3+nt8dpbVCjXLLR8MCKboxmWuHmrQkciAhD0v+TAKPRcfZJb3hqMNZuh0qbRZ8DB48GBMnTkSXLl0gkUiwbNky3L17F8nJyeDzFcZZn3/+OVavXo0dO3bAz88Pq1atwsWLF5GamgqBwLAKYnvwYTw/XUjH2mMpsOIxcXZJb1i18OuoqBchQktAoeKzkR0xTe1meOxuoc60vzZ+fTUKvfzsIJHKWt10ePWDvpi+Ld7gSmtoiCOO3jV8A6PTCHT1tkZidpVWzxEWnYYZPTwxq6cXHMw5aBRJceJ+EU4mF+HSozKdzXUsBg1cJh2NIqlW7QgBh4FXoj0wO8YLtsppGPI9ppdjzm83USuUYHS4C74ZH0q5QN7NU6R1tfHpS0GQSOVYffQBBgQ5YNMrEQY/492vRSOjtF7D4VMbdgI2bixTmKOpziNtOJpzUFRjXAOsuzWPFLziMGk4tbgXYr44Z9Rrn4RlQwOx+ugDEASQvnooaDRCb/AxItQZYyJcDI6Mu1vzUF4nRL1ISgm2VVxJL8OMbTcgksoQ5WmNH6dEaJwDNU1iHLtbiHMppYhLK6MEvNoQsBno6GKOEBcLxPjaIdrbGmyG4vw7fKcAWy5ltDo7odKK0cXjTpo9DuqBBwD89moUFuxRCPSpJolUvN67A2b39CLLkiqiPK0Rn9UcPJ57p7eGa/eTUNMkRt+vLqCsToj3hwRgXi/TZVT+33lqZZfS0lLY29vjwoULiI2NhVwuh7OzMxYtWoT33nsPACAUCuHg4IDPP/8cc+fONenB/9cRS2UYvuEyUotrMSHSDZ+/3Eljm8N3CvDmbt2Sylc/6EtZ0Y3bfAU3sqgZCQ8bHrJ1TKFc+6AfHC04OjMn+rj5UX8M23BJZ9lERR9/O6PVGb1s+fC25ess69AIRZp3TmwH+NgrJlQkUhmS8qpwLaMCqUW1SC2qRUZZnVb1VT6LDn9HATo6W6BfoEJPoGUaXS6X48+EPHz09z2IpAqL819fjQKb0Sx69KCwBkPUjP9acu6d3vjqRCqO3C3Eu4P8cTOrQu9n4G3Lx9l3emN/Qh7e+dOw4JfqoiqTyTFk/SWT1Plj/exw8aHiGEeGOYNFp5FGe22JSrHXnMPAneWDAEBv8BHlZY29c7q2uox17K0YDTfc86kleHP3LdQJJaQD8uhwF62rcLlcjuIaITJK61DRIIJYqStiwWXC1owNewEbLpZcSubsYXEtdl/PwV+Jea1WGDWmd0o9YHzafPlyJ+yJz0FiThVcLLmoaRKTiwA/BzP882ZPxHxxTqMc+XJnV7Kh/pVod6w24CXVWlYeTsbWy5nwtuXj+KJYnWWydjRpzf37iXQ+qqsVdW5ra4VgUmZmJoqKijBw4EByGzabjV69euHKlStGBR/tGA+TTsPq0cF4efNV7L2Zi3GRrohUE68CgGEhTvi3Y4HWmj4AdFt7FhlrhpIXvK0zuqDTcqqKaXZ5A4Z1ctLqy9F17Rk8Wj0EVnwWDr3RQ8P3Qx+Rq04j6ZOB6Lr2jF6H1HOppYj2skZyQY3BlWNmWT2yy+vRP9AejWIp4tLKKc/L5MC+m3nYdzMPkR5WGNvZFcM6OaGzhzU6ezR/dnK5HPUiKaoaRGgSS8FjMcBnMSDgMDT6a9TJKW/A8n/vkxMJQ4Id8e2EMDLwqG4Q48fzaXrl0kPdLOFhzcMN5eruQEKeQSGxt5RS0hymcRdK1Xjjv0rZ/ieFQSNwWU27Y2SYM17dobvnyJSojBG19eVoQyVzbsNnUfQzWtIyIzBk/SWkrhpMCSJ7+9vj4Bs9MHfnTaSX1uPtfUnYFpeJad08MSLUmaKySRAEHC04elP4UpkciTmVpJbP45ZCevjYaJz76pixGbA1Yz32aPuTMrGLG9JK65CYUwUBhwELLpNSFvp6XBj+iM/RCDw+GBJAydKtGNE6MTlDPCyuJcuMy0d0bA882pDH/mTlcjnefvtt9OzZE8HBCt+QoiJFetzBgSp+5eDgQD7XEqFQiJqaGsp/7RhPpKc1Jij7PZb9fQ/iFqUBgiCwclSwXjfK9WcekT+bc5haXWyP3ClEV29rjccBkKZ2oW6WBh1tWxL62Unc/Kg/6eCqi+uZFXCx4sJXma3Qh0wOnH5QgtyKRsyJ9UaIi4XW7W5mV+KDv+6iy6rTmPPbTfx+LRs5yosxQRAwYzPgasWDj70AzpZcWPCYWgMPqUyOm1kVeOuPW+jz9XmcTSkBi07Du4P88cPkCHCYdNQJJfj+zCP0/OKsRuBhpebnAii6+O/kV5PNhsYomFpwFftQN6bTx4PCGjSJpfjieKpR2xsi2tuaNB2z4jHRzdt0CpOGsGzx+RnDHzdyMb+Pj95tMkrr0dGZunrz/+g46c+jwsfeDEffisHSwf7gMum4l1+DpfvvIPyzU5i+LR6bL6TjVHIxUopqUFLbhLI6IcrrhMgsq8fV9HIcvJWPtcceYOLPVxG64iTG/HgFm86nP1bgEe1lDQ6Tpjfw6ORqAR6L/lQDD/VyVAc7Pnr52eGnC4q/g67eNkgubL7uL+jrAzMOA8tb9CH1D3SgBB6HF/QEw4Rqo3K5HJ8eug+pTI5BHR1I0cB22obHzny8+eabuHPnDi5f1qxZt0w5yuVync1Aa9euxYoVKx73MNqBIoV+MrkIqcW12B6XqdH1bS/g4OtxoTo9O9afeYQRYc6kUFawiwU+Hh6ElYepf/zXMrQ36V18WIo/b+ZiXKQbJke743pmOal3YAwdPz2BlJWD0XnlKb2KiilFtTBjM/Sa6KmTU9GAny9moIunFan+qi0NLZTIcDK5GCeV/imuVlwEOZnD31EAXwcBbM1YsOAyIWAzIZJKUS+UorxeiIfFdUgprMGlR2WUFXSsnx0+HhYIXwcB7hdUY/f1HBy8la/1vX07IRS/XMokJyPMOQyMiXDBVydaFxSoVtOGPE1U3M6twva4LORXNcLJgoNXot1JV97HQf1mN6yTE3ZdN86E0BRo8/AwpFXxwV93sfylIJ3Pq7hfoLkYGv79ZXT1tsbMHl7oH+gAOo0Am0HH/N4+mBDphn038/D7tWzkVzXiglKUrjVwmXSYKX1+KhtEMLYw3j/QAacf6HfzHdzREWdTS8jM19NAZa6nYuXIYLyxW9Fb1r2DDUW3pLOHFd7o44OAj49r7Ec9SB8b4UrK3puKI3cLcTWjHGwGDR8NM3xutPNkPFbwsWDBAvzzzz+4ePEiXF1dyccdHRXqb0VFRXByalaZKykp0ciGqPjggw/w9ttvk/+uqamBm1u7cU9rUDee+/bUIwzrRDWeA4DR4S74N6lAZ99Av68v4NHqIaQo0qs9PLE/IY+0o1ehSwfg3f130NHZAkHO5vhuQhjOp5a2SmUx4OPjeLhqCAavv6i3+a1OKMH51FJM6eqO36/lGLXvG1mVuJFViVFhzpjXyxunkotx+oHuUd+8ykbkVTaSwYgxmHMY6B/ogEnR7hBLZfgzIQ9nU0r0rl7/nNcNidmVlBvcrJ7eqG2S4Fcd2hu6cFTqGwj1lK/UKaxuwo9Kl853BvrD2oyld/sYX1tcemR48ggARoa5aAii6RuJflJU56z6GGlnD0udpUYVLVfWreFaRgWuZVTATsDGwCAHDOroiGhva9iYsfF67w6YG+uN1OJaxKWVITGnErkVjcitbCAVOwFFI6ijOQcO5hywGDTI5HKU14mQW9mgUW7Qx1v9fPHzxQyDgceQYEccu9f200fqmHMYlMDj2wmh+Pb0Q1Q2iOFty0duZQPZgGrOYeD7SeH4+qRm4N3SiXuV0qXbVNQLJVitnJ55vXcHighgO21Dq4IPuVyOBQsW4O+//8b58+fh5eVFed7LywuOjo44deoUwsMVc9EikQgXLlzA559/rnWfbDYbbDZb63PtGM/LEa7YfzMP8VkVWPHPffzcwniOIAisGROC7uvO6lxJvbf/DumLQBAE/pzXDcGfUoV9UotrMTfWW2vPwtANlxD/YT/Ym3Nw/cN+Wlcv+vD76BhSVg7G3J0JBleLv1/LwayeXjh4K19v3V6dg7cLcCipAEOCHbFhUjhu51Th16tZWhVMjYXNoMHLlg83ax5u51ZRRI/0sW1GJJh0Gr4+1ZxtsBOwEepmodeITxuqmjkAvb0zLakVStDR2Ryjw10MqsqOj3QzKvhwtuCgs7uVxuP9Ax2w67pxwWJrUb332qbmG3uws4XB4EMXhvol1CmtFWLX9Rzsup4DFp2GACcBQlws4GNvBnsBB6FulojxtYMcckhlcoilcpTUNKGgqhFFNUI8Kq5FUl6VUQaCLZkb6420kjpK2VQbVjwmgl0snnrgAYDSJPtKtDseFdfhRlYlzNiK/qkkNS2f9ZPCUVDViC2XqJL+s3p6UQKP3a9Fk8rBpmLjuTQUVjfB1YrbPt3ylGhV8PHGG29g9+7dOHToEAQCAdnHYWFhAS6XC4IgsGjRIqxZswa+vr7w9fXFmjVrwOPxMHny5DZ5A+0ooNEIrBodjKHrL+FkcjFOJxejfwvjOScLLtaM1q0A+detfEzv7olQpd27GZuB44tiMPg76lTGTxczMLunF37R4vsRteYMkj8bBB6LgaRPByJ0xUmNbfQR8PFx3F8xCGuOPjB4s9p6ORPDQpxQK5SQUxaGkMuBo3eLcPRuEXr42OD7SeHgMuk4dq8Q+262fjJDKJEhpaiWVFA1BItBw7fjwxDoZI4RP8RR0t/etnyjHYPZDBopxBTo2Ky2eqoV2RpAMaZKoxFwMqBjEKY8JwwxsKMjEnKo01Lze3eAGaftPCzNlF5FQokMTWIpOEw6OhjRG6SLuLRy/DW/O8b8eKVVrxNJZbiTV22UON6T8PYAP1TUi/Q2LauY2MUNt3OrjM5amRImnSAnxjo6myPWz450Mg5yNicbfwFFtiHSwwohyzWvF4XVzYHxsBAnkzrWAoom9S2XFJ/lJ8ODtJbx2jE9rerW2bRpE6qrq9G7d284OTmR/+3du5fcZunSpVi0aBHmz5+PyMhI5Ofn4+TJk0ZpfLTzZPg5CDA7xhsA8Ok/99Eg0pwMmdjFDT18dMsEj9wYh0a13oQAR3N8Mlyz/vnL5Ux0sNM+Wz/4u0uQyhQjhNc+6Nfat4GOn57A0kEBeGegn8Ftj9wtRHxmORb39wOrlc1ncWnlmL8rEW/vuw0ei4GDb/TAwTd64L3BAej1BM1mHCYNsX52eLWHF6K8rMlmX3sBG3vndEWIiwUm/HRNI7VuSPhKHXVvkEAnxd9WnVDSqptMvwB7dPdRXMgZdJreAMTViqvzOXX6BzrgsxbljPGRbkhrY+VMVcOySpk22Fl3P0CUp/bGaXXG/HgFW1pkD43FnMOAswUHtmYsCDgMcJg0Uj33SVg9OhgfDAnAN6ceGiX8tqCvD/5JKjA6MDYldgI2GXhwmXR8MjyIXPQEu1ADjyhPaywZ4Id5vydo7GflqGCKzo82OYEnQS6XY8W/9yGWytHLz07DKbydtqPVZRdDEASB5cuXY/ny5Y97TO08AQv7+eDfpALkVzXiqxMP8UmLpjqCILBuTCf0+eq8Tqnl2C/PkQJUADCzhyf+uJGjIW6kqy6dU9GAt/64hR8mR8DRgqM1e2II1RSMqxUPi/be1rttk1iGb08/xOdjQ7DtclarR0crG8TYcSULO65kwdmCgxhfO4yPdMN3E8LQJJEivaQe6aV1KKhuRL1QgromCeqEUrAYBPgsBvhshtL7xQyuVlwUVDXi3zuFlJLO6HAXfDg0EDkV9Xh58xWKbPaTEuZuSXbqt4YPhlJNCfX16BirHtnFy4riGgwodGK0NW7qQuU7Yyx1QgmcLbnIqWhAXmUjnC25cLPWHSwx6Ma9lyvpZfhsZEd80srPtaZJ0mpNDl342Jth1ahgXEkvx0cH7xnVfNpV2XvSGll8U6KyBVCxaUoEvj71EBX1IkXzaVVzD4g1n4UNk8Jx5G6hRqnro2GB+FhNMO/QGz3ILJepOPOgBOdTS8GkE/j0paB247inSPsQ8/8ZPBYDq0crmrG2xWXiihZ5cjdrnkZQok5prRCHbjf3LhAEgYNv9NDYrqZJonMc7fCdQmy+kA5AkT357dUordvpI3LVaUR7W+PA692M2v69A3fhZcvHW/18Se2H1sCi01BQ3YS9N3Pxxu5EhK88hZc3XcX2uEwU1zTBzYqHbt62GB/phrm9vDEpyh0DghzQwd4MpbVC7LyWhbGbrmDOzgT8m1QAqUyOrt7W2PNaV6wbG4Kd17IxbvPVJw48PG2ozXA9fGyxOz4HBxK1l410ZYR87KnZSH0qmOVGupyml2ifJkorNT7z0doWnNI6ITyUn0lWueL3EwSBICftIkdX0svJTM7MHp7wc9BeotkelwVAoQSsgsukw07Qtj1qTDqBDZPCcXhBT/T0scXEn69hw5lHRgUeK0d2RGF1k1ZNnqeBkwWHcn6vGhWMiw/LEJ9ZAS6TDiadRunR+m5CGOSQ460/blP2E+hkTnHmXtTflywHm4omsRQrDisCy9kx3vC2e/xSXTutp91Y7v+UD/++i93Xc+BswcGxRbFkU54KuVyO1367qXfqo6X66aPiWgzQYrE+tasHdl7TPp2xdXok+gUqUpl/38rD4r2G1TdbcuHd3uCy6K1ydf3xlQjsu5lr1EhuS9ysuWDQaAbVIXXhYslFnwA7TIpyh7+DAH/dysf6048MNnU+DgGOAqweHYKJP1/VqsgK6JbPVvf2ySqrR++vzuv8Pa9EuxvVMNrV25oykv3J8CB09rBqlfhca3Gz5qKXnx1+v5aD13t3wHuDFRmdnVez8LGOrIXKzdeGz8LxRbH44niKTjXWpYP9EeAowOK9SahuFINFp2FaNw+Eu1thW1ymhuHZ4zA0xBGzY7zhacPHv0kF+DMhF/fyjc8WjQxzhretGX4490jnedDWtDzPFIGdgCy3BDgKKCWgBX19sLi/H7w/1FSaVfduMecwcPuTgXrF/R6HDWce4ZtTD+FozsGZJb3AN3FW5b9Iu6ttO6gXSjBswyVklTdo2LirqKwXYdB3F/WuxB+uGkJR+dt9PQcf/q3ZsPpqDy9si9NsQAUUTrYBjorv8pdLGRRDKGPZP68bQt0sEfzpCUq/gz7GRLigl58d1hx98Nhjni6WXIS5W4LHpKOqUYyqBhEqG8SQSGXgMOngsuiw5rHgY28Gbzs+wtys4G3Hx738avyZkEcanpmKlq6x4yNdcT61FCW1QtiasbROTbT0wlChHnx88Ncd7InPNemxAsDl9/rg4sMyreeMKVGZy/X0scXvs6MBKNRmY7/U7i1jyWPCgstEdnkDZvX0wsfDg7DrejaW/a3bF+f0272w4t/7ZF8Nn0XHqHAXTIpyh7sND/fyq5FcUIPEnEok5VZrBJvWfBY6Oit8WyLcrdDRxRyO5hwkF9bgfGopLqSWav2eDLF+Yhh+PJduEqXax8WKxyS1agCgt78dXovxxvRt8ZDI5Ij0sKIYSXb1tsau2V3x2b/3NcbKvxoXSrEIuP5hPziYm9bYLbeiAf2/uQChRIbvJ4XjpVBnk+7/v0p78NEOACAxpxIvb7oCmVyRCRga4qSxTXxmBcb/dFXLqxV42vBw/t0+lMembr2utbFxRKgz/tHhohu/rB/sBYoLyNqjD4zq1G/J52NDMKGLOxbvvY2/jRxpBRTvPbu8AZsvpLdKe0QXNEJRSrLms8CgExBLZSiuEZrMFVRfz0PLizyLQYNIIoO/g0ChnKll7FiXo6kq+CiqbkLMF2fbZMWcuXYoPjp474nGbI3NugAKY7akT5tXyQEfH0OTWHuw+s5AP3x18iEIAtg/rzs6e1jhSloZJv9yXef+CQJ4d5A//k7Mpzg52wnY6OljizA3S3jY8OBhw4cFlwkWgwYmnUCjSIqyOhEq6kXIr2rAg8JaJBfU4H5BNeX7bA3fTQjD7VzFuPizvopzmXRyzNvbjo8NE8MxZet1VDWIEelhhbTSOlLjxNaMjaMLe+JBUS2mb4un7Kelfs/mKZ0xONjR5Mc7b2cCjt8vIsui7b0epqE9+GiH5KsTqfjhXBoseUycXBQLey0riO/PPKLoTbRk5ahgTO3qQf67SSzVqeHhbcvXKQd+f8UgMrX59r7b+CvR+ABCxZgIF3z1cigO3y3Ewj26DfNawmHSsHdON5x+UIytlzP19jc8S0JdLeBsydWqyaDLX8fBnI0VI4K1TgvoQxV8rDqcrHVs2hRkrRuGURvjcFstW9Na3h7gh2/0nJ8tUc+06Su9AIrz6a/EfLhYcnHozR6wNWMjpaim1Q3ST5MPhwbA1YqHTE+F7gAAekFJREFUlYeTKQJezwr14JbNoOHv+T2wYE8i0kvrEeRkDjlAESvcNTsanrZ89NCiZ6OuIRTja4uds6JNfrwXH5Zi2rZ40GkEji6Mgb9j+ySmqWjN/bu94fT/nIX9fNHR2RxVDWIsPXBH68TS/D4+6Oate/z244P38FAtpcth0nWO0Mr0xLIdPz2BJuXq6JvxYRgV1vpU51+J+QhfeQoDAh1waWkfwy9Q0iSWYeTGODwsrsWRhTGYG+sN8zbUnmgtNnwWVo7siJcj3XSKQcVpaR7ms+j44uVQvHfgTqt+n7fSgryyXqQzq/Cki8EhwY6Qy+WUc+dxaK0I3LmU5j6fEaEuere15rHgZctHflUj5u1MgFAiRYCjOU4tjn2sY21LFvb1we+zonH8XhHm70p8LgIPPwczSlbtt1ejsO54CtJL6+FozoGXLZ8SeCzq74vOHlZaA4/1E8MoGdHHHXXWh0giw/J/FcHo9G6e7YHHM6Q9+Pg/h8Wg4bsJYWAxaDifWqr1RkOnEVg/MUyvg+PAby+iTs1R1tGCo9WALqu8ASP01E9jvjhHCmt9NzH8sQKQ6kYxAj85DhaDhvQ1Q9G9g+7AqSUn7hejz1fnUdMkxvFFsVgzOkTntMPTYkFfH5x/tzcYdBpltFCdcZ1dKdLcgOK73aCUozamnKQ+/RGkNEzbfiULjWIpKc+uTssm5dYyPtINpXXCJ84yNYmlRuuMAMB2td4jCx4TM7p76tz2l8uZeHeQPwQcBm5mV2L2rzfRKJLC10GAO8sHmnzC4nFYPToYRxfGILmwBlO2XkdiTtWzPiQACoM69fH77yaE4di9Ilx8WAoOk4YBQQ44crc5U9fTxxYL+vpi9q+abserRgVTJl6OL4ppE7Gv7XGZyCith60ZC4sG+Jp8/+0YT3vw8R/A10FATgCsPvJA6xSHvTkHP0/trHc/3dacoWROgl0ssOmVCI3t/kkqwIctNCRUlNYKMfz7S5BInywAAYDoNWeQkF2J3a91xdbprVsl7YnPRfd1Z3E1oxy/z47GrtnRGBvhCsFTzIasHBWM+ysGYVF/P3x/Nk2n8uycWG+tkxg/T+2MPfE5RitqqouIOVtyUdUgIm/U2t73k2oqhLtbIrfiyZ1TKxtEcG+F10ZJrUK2XMXrvfXLZc/flYhVo4LBZdJx6VEZpm+LR0W9COYcJg7O746NkzXP8bbGzZqLP+Z0xeEFPXEjswLDv7+kdzLtadPZw4py3i3o64N6kYQUPxsb4UqZgPO25WPj5AjsvJqFyy0yeKPDXfDLpeaMx+L+fmTZzJQUVTdhg1KK/r3BATDnPFlw3c6T0R58/EeY2d0T3TvYoFEsxdv7bpM3f3V6+9tjbi9vnfuoFUrwVQvTpyEhTpiv5eK+5mgKvhoXqnU/D4vrMO6nq5Ap0+nfTQzHmHD96XFdjP/pKlYfSUZvf3vcWzGo1a//N6kAUavP4IsTqZgc7YabH/XH1umRGBPu8lhW7YboYMfH4QU9kbl2KKZ29UBprRA9Pz+Ln3U04E6IdNPaG7N9Rhf8lZjfqhuS+iihly0fmy9koLZJAm9bvlYHWEkrGlD5Wrw2LHksZJvAtr28TgRnS+MzHwAw4NuLZLnGwZxj0K/jrT9uY+Mr4RCwGYjPqsDQ9ZdwI6sCBEFgWCcnPPhsMJYO9n/s92Asa8eE4N6KQVj+Ukd8d/ohhn9/GQdvF7Ra+6Qt6eJpRRkvHhbihK7eNqTI3YhQZ4qrtQWXia0zuiC9rE6rmZ+bNQ9ZyvPE1oyFhf182uS41x57gHqRFOHulhgb4Wr4Be20Ke3Bx38EGo3Al+NCIWAzcCunCpvOp2vd7p2B/np9PDaeS8eNFuOA7w7yR6SHppnYO38m4fOxIVr3cyunCtO2xZOZlG8mhOlNj+tjy6VMdPjwKBpEEmStG4aPhgW2eh9JuVUYu+kq/D86jnv5NfhwWCASPxqAk4tjsXJUMF4KdcbjygwMCHLAsbdikLVuGM4s6Y1gFwtUN4qx9tgD9P7qvM7afd8Ae9zJr9YIDL4Y2wn/JhXgn6QCMGiE0WUjdWVPAYeBHVcUWQ8XK67WiYuiGuN7Cmg6GkRyTJD5KK0TwvcxvFo+OXSPPL+MuaG9uuMm1k8Kg7cdH0U1TZjw01V8dPAuKupF4LLomN/bB+lrhuLnqZ2N9roxRKibJTZP6Yw7ywci7v2+qGoQY8QPlzHr15sUvZTnhW7eNriRVUn594J+Ppi/KxESmRw9fGyQkF1JKdFuntIZZmyGVq+cjZMjyGwEAJxc3KtNJk+uZ5Tj0O0CEATw2Yhgk2uGtNN62qdd/mOohL4YNAJ/z++BEFdND4zcigb0++YCxfSsJTeW9acoPYokMvh9dEzrtuqCQS0Z3NERm6ZEkBecb049pFyMWsvOWVGI8bVDbZMYPdadfWKZ64V9fTCskzP8HMxAEIqx2vzKRmSW16OqQYRGkQwNIgnEUoWXjSWPCUsuU+FqqqWP4kFhDf68madTE0XFS6HOKK5ponhgAAo9i8p6EY7dKwKdRmDtmBAs3W+42TTAUQCCIMjmv2EhTjhytxAhLhYoqW1CcY0Q7tY8g8HCthmReHWHZs1eG1nrhuHtvbeNdvrVhTmHgfUTwzFzh8J0L8TFQkPCXRdv9fPF4gEKj6BzKSXkPvSxZVokjt0rJDNOAg4DM7t7YnK0BxzVSldSmRx38qpwv6AGFx+W4nJamc7+FiadQBdPa8T42iHMzRJ+DmawMWOjrE6IE/eLcOhWwWNpfDxNhndywmG1aaswN0v8+EoEpmy9jozSegQomzfVhcTWjQnB2M6uiPn8nEYwu3lKBOb9nkj+e9fsaPTwMa1pHAA0iqQYuuESMsvqMSnKHWvHaF8QtfPktI/atqMTuVyON3Yn4ujdIvjYm+Hwgp5aG7uO3S3E67sSteyhmbTVQ8BQk+6urBchfOUprdu+1c9Xp/X32AhXfD2+uUSz5WIGVh9tvRCZipc7u2LN6BBlk22J0U6xhvCy5WNMuAvC3C0R5KTQ+dC3SpPL5SirEyExpxLXMyoMBhwqFvX3xcZzaRq6G51cLcCi03AzuxIsOg3fTQzD/YJqbDynPYulTksXYgaNgEQmJ28oThYcDAtxMjhym/TJQIR+ZpxTcda6YXh50xWKuNTjcmJRLAZ916yu21LvRB/vDwkgyy6rjyRrWLZrY2iII8ZHuuGL46lIVgZsdBqBvgH2GBDogFg/O0ogYizVDWLcyKrAlfRyXEkveyamb4/DpCh37IlvblYPcBRg+8wueHP3LSRkV8LRnAMXKy6lHDMn1hsfDg3EO38mUaTSAcW48G9Xs5FXqZiUmd7NAytGBrfJsa88nIytlzPhYM7GycW9nriRuh3dtOb+/fzMGrbzVCAIAqtHheBGViXSSurw+fEUfPpSR43thoQ4aQj+tGTCz9dw4PXu5L+t+CycWdIL/b6+oLHtTxfTMaO7p1Y3zgOJeRBwGFg+QnEcr8V6w9GCgwWt0PFQZ39CHvYn5OHgGz3Q298eGWuG4u19t3HwtnYBNGPJLKvXqYdiL2BDDkAuB4QSKWofM+Py4dAArDmaovE4g0agoKoRZXUiCDgM/Dw1Eh42PMzXEyDaKlfWgOK7UUcik6Obtw15s3i9dweDI7HdvG1wLbNc7zYtaVlSsuAyH0vorbZJTDEs6+Vnp/X77Oljq9HQuO5YChqEEiwe4IelgwMQn1mBJANNukfvFuHo3SJ8ODQAc2K9sSc+B9czK3AquRinkosBKAT4fOwF8LE3g4sVF2ZsOrhMBthMGuqFEtQ0SlDTJEZBVSPSSurwqKROpxnj88ykKDdK4OFmzcXWGV3w3oG7SMiuhDmHAT9HAS4+bB5x7h/ogPcGB+CA8m9RnXB3S+RXNpKBh4DNwEdanLNNwY2s5qB/3ZhO7YHHc0R75uM/yrnUEsxUZgR0pTubxFKM2hind3W2enQwXon2oDx26VEppm6N19jW0ZyD3v52+OOGdhnvad08sGJERzKbkJBdibGbNOvErWFEqDPWjQ0Bj8VAVYMIozbGkc1tzxNDgh116nuo42bNxS/TusDPwQwztt/AhYfavWu+HheKJUqJaj6Ljtkx3hqZJ5UkuYM5Gxfe7YO3992m2Je35OySXvj5YobO768lCR/1R7d1ZynlO11qq8agnvZvuRJXR5fU/9SuHvjkpSA0iqUY+M3FVvW0jI90Rd8ABzworMGFh6VIyqt6bFVRWzMWRBKZyZxv25KJXdwo37etGQt/vd4Dnx9PwZG7heAy6RjWyYkSYAQ6mWP/vG7ILm/A0A2aYm3rJ4ZRxmrj3u8Ll1Y2FBtDg0iCoesVFhPjI13xxcvaG+DbMR3tImPtGKSPvz1eiXYHoGgM1bYa5TDp+GFyhE5XVABY9vc93MqhptVjfO0oTqAqimqacDu3SqcOyG9Xs/H2viSySbCzhxUuvmu8kJg2/kkqQNAnJ3D5URkseSycf7cPrrzf94n2aUpUUyLGBB6DOjrg8AKFIuOfN/N0Bh6AwrlVxfgubjh8h5olGBnmjAtK0715vTqAw6QbFK3ysuXjXKrx0zU3sio1+oa0ackYO0Yb4tLcn/SwuBYR7pZat9sWl4nXYrw0Ht95LRvTtsZDKpXj6FsxWrVNdLHvZh7m/Z6A9WcegUkn8PGwIHw8PAhLB/tjWjcPDAxyQIyvLTp7WKGjszmivazRN8AevfzsEOFuCS+lqBsAlNWJXojAY0IkNfAQcBj4Y043bDyXhiN3C8GkE5jS1Z0SeNgJ2Ng6PRJiqUxr4PHbq1GUwGPvnK5tEngAwBfHU5FV3gAnC06bZVbaeXzag4//MMuGBcLThofC6iZ8eki7uJWPvRk+f1l/g9boH69orGandfPEtG4eGtumFNWirE6IfgH2Wvf19618TN9+gxyTdLfhIenTgca8Hb1M2XodI364jOKaJjhbcpG1bhjOvdP7iff7pNQbIcDFY9GxYkRHbJ7SGRZcJu7mVWOpHkXT44ticCCx+YbQ1dsG6WpuowI2g8xA2AnYmBSlCEKLDAQfyYU1GgZ9+rRALqdpBkd0LVMGLc8TXZb1a481l6MSsivR09dO5+8+mVyMLp6aE1hXM8ox/PvLeFRci5Nvx2rdxhA3sirx2eFkrDycjC+Op+K3q9k4mVyMS4/KkJBdifsFNbieWYGzKSW48LAUiTlVj+2Q/KwY19kV+xKaAw8uk44/5nTFvpu52HszFzQCmN/bh2JGyGbQsGVaJGzN2Aj7TLP3a/OUCExT83L5ZHgQovUoKz8J1zLKyRLvurGd2jU9nkPag4//MDwWA99MCAONAA7eLsCh29qnEkaHu2JurG79DwDKyRJq9mTFiI4YpsXM7kp6ObgsutbxXEDhvTB0/SUIJYobswWXiYerhjxxvfZOXjWi15zB6iPJqBdK4GXLR9a6YbixrD9CtUz9PA8MCHLA6bd7YXp3TxAEgZKaJkzdptv4LMbXFgdvNWc5wt0tkdXixjcrxossWbw9wA8cJh1CiRTFBsoQ51I0sx7aggkVl7WYD2rbWj2jAeiXU1fPnND1NPtmlzegtFaoNWuXX9WICT9fw4bTj7BjZpTBc/u/xsudXXEgMY8sKzHpBH6fHYXzqaWkHs3bA/zw581cykjt1+NDEepqgdE/xmnsc1F/X0qjb98Ae8zs4dkmx18vlJATYJOi3NDLT3eQ2s6zoz34+I8T4W6FN/soNBA++OsuRRlSnaWDA9BXR7ZCRaflJyFWEy8jCALfTwpHlJe1xraH7xQiyNlcp15CanEtIledRoNIcXFjMWi4/ckADA15cofLLZcy0fHTE9h5NQsSqQx2AjYOvdkTaauH4I0++sWonhZhbpbYMbMLtkyLJAW2SmqaMP6nqxoy6+qsGhWMzReap19m9/TG9rgsyjZ1TRJUNojhY2+GcZ0VYkvZ5Q0GhazOagk+1G8+LdHWW6PtV3BbCJRVaHHmVaFexjl+v0jvDSyrvAEOFtqzKIBCWn3gtxcR6GSOP+d1e6rqts8rqjKK+rmwbUYXJBfW4ssTCoHB13t3wMHbBShQy5Qt7u+H4Z2c8cFfd3G/oIayzwh3S3CZdMokjPp4van5/HgKcioa4GLJxYdDW6/5087ToT34aAdv9fdDDx8bNIikmPt7AmqbNG9uKv+XDnZ8LXtoZuj6SxQJdhqNwO7Z0fDW8rrfrmYj1NVCZ9ahtkmCoE9OoFp5syUIAj++0hmrRplmJO/jQ/fhs+wY/k0qgEQqA4NOw7uDApC1bhguvNsbPXzaJiWsjx4+Ntgxswv+nt8dvf2bg728ygaM/+mq3mbZzVMisPFcGvlvL1s+rHhMSmPl95PCyXT0h0MDyFHpdDV7eF3c0uJM21rTN22ZiAaRFM6PMbb6oLDGoNhXbkWj3uxMflUjFu29jRX/3senL3XUaQvwX+DtAX6U6TY6jcD2mV1QUS/CJ8qy7LRuHjifWoo0tfPllWh3LOzng62XM7U2Iy8e4EcpmcV/2A9shul9WwDgSloZfruqkHX/fGwnCNrLLc8t7cFHO6DTCGyYGA4nCw4ySuuxdL9291sBh4ltM7qASdd9MX9UUofl/1AtzBl0Go69FaO1P+DXq9kIcrbQmh1REfrZSZTUNt9Ap3T1wIlFpnMdXbDnFnyWHcOOuEw0KnswPGz42DW7KxmIDAl+8oyLLuwFbCzq74tLS/tg1+yu6O1vT1kVXkkvQ7+vL+gNPAIcBbDms7HvZnOvx3uD/fGp2nfBYtDwx40cSGRy9AuwR98AB/I5dedRXZhiLo7NbL7kqM6HklohfBwez1306N1CvNpDs7lUHWMCpHv5NXjnzyRsj8vCG306YEZ3zzZrhHwe+WxkR3yjNkbOZtCwe3Y05HI5luxLglwOjAl3QVJuFeVcGRXmjJUjg3EquRgrD2tKpx94vRtl8u2v+d21iu+ZgjqhhOyFeiXaHT19TS9Y1o7paA8+2gEA2JixsfGVCDDpBI7dK8IvOoSYPGz4+HVmlN59/Xo1G/tarIDYDDril/XTuv2e+By4W/P03uCjVp+hlIT8HQW4/xheLvpY/m8yAj85js+Pp1AkzT1s+Ng0pTOy1g1DxpqhOPB6d4yJeDwvGhXDOjnhq3GhuPZBP8Qv649F/f3g1mLqo0ksxTcnUzF5y3UI9ajNAsCf87ph6f4k8t8R7pZwMOfgkdoKdckAP8SllYPFoOGTl6jd/4Z0L0wFW61nQ1VuKa5uMphR08WJ+8UYEOQAU2XwC6ubsPFcOnZcyQKPRUf/QHsEOpnD1kx3+eZF5/0hAfjkUHOQymfRsW9uNzRJZHj9d4Vs+qCODsipaKCcJwOCHPDluFDczqvCnJ0JGvvd81pXjN10lfz3x8ODEOHe+gZfY1l79AHyKhvhasXFB+3llueedp2Pdij8djULnxy6D7qyXKKrG33n1Sx8fOi+1udU/DGnK7q2eH11oxihK7QrZI4IdYaLFVen7wwAbJ0eiX6BzSt2uVyOTw7dpzho6oLPohs1XaLCx94Mbw/wQ98Ae4P23jVNYuRXNqJOKEFZrRBNEinkckW2iM+mQ8Bmwk7AhoM522CtWy6X4+KjMnx66J5RmiQJH/XHumMpFOfbY2/FYMj65lHHAEcBCqoaUdMkwbuD/PFGn2avE7lcDq8Pjhr8Paagl58dOSKsknOf1dMLXrZ8fHRQ+8SVIfoH2qO3v/1jv95YLHlM1DSKnyuTtydlbi9v/HSh2dTQisfEnjldkVXWgAV7EiGWyhHjawuRRIbralL/PXxssHV6FxRWN6HPV+c19rtlWiRWHk4m5fr7Bthj24wubfY+1LWFdr8Wje4d2rMez4J2nY92HpupXT0wKswZUpkcb+y+pXMCYmo3T0zp6q53XxN/vob0UmovgQWXiYSP+mvd/p+kAmSV1WOdHu+FWb/exIYzj8iyEEEQWDkqGHvndNV7LEDzWKuxUzNpJXWYvysRAR8fx8I9t3DpUSmaxNqDF3MOE4FO5ujiaY0hIU4YHe6KMRGuGBDkgO4dbBHiagFHC47ewEMqk+NUcjFG/XgF07fFGxV4XHy3Dw7fKaQEHov7++Hrk5pKrDVNEoS4WGhMd6QZ0e9hKtSnVbjKgK6opon0BXkcTj8ogbcd/7HGZltDVcP/T+Dhbs3D2AhXSuDhbMHBX/N7ILWoFm/sVgQeA4IUgb564BHubomfp0aiTijRGnisHh2MI3cKyMCDw6Thp6md2+y91DaJ8Z5yumVaN4/2wOMFoT34aIcCQRBYMyYE/g4ClNUJ8cauRMoEizqfvtQR3QzM6ff7+gLKW7iy2pixcfUD7UJfx+4V4WRyMbbP1L1K+ubUQ2UpojkQiPa2wa2PB2gVsWqJSlDNWHErQBEYTd0aj4CPj6Pf1+fxy6UMpBTVQKLjszEWiVSGWzmVWHk4GV1Wn8Zrv91EkpbGTm2cf6c3HhTVUPo6OntYwdWKi9MPisnHCEKhr8Ji0PDluE4UPx4A+N2IrJE6+ho4DcFXm2zhKPs/iqubEORs/tiuwYBC7G7tmBByn/rgMulg/IddTfsG2MPLlk/RgvGy5ePP17vjekY5Fu29DalMjpFhCifnS2oj04FO5tgxIwoEAXRbe0Zj37N6eqFBKKVI3195vx+YeoQKn5Q1Rx+goLoJ7tY8vDf4v9sw/KLRXnZpRyuZZfUY8f1l1AoleLWHl0aPgIrKehFGbowz6IaasnKwRukiu7wevb48r3X7Hj42WDooACM3amoGqBO/rB/sBc0NbHK5HFsvZ+p00W2JGZsBe3M2MkofXwSKRafhpVBndHQ2h7MlBzZmbNjwWQrjORCQyuWQyGRoEEpRUNWIvKpG5JQ34FZuJeLSWueVoiLx4wG4lVOJWb82O8w6mLPx0bAgnZ44q0YFY0pXTeE3z/ePtOp3x/jaUm5I6vg7CJCqxyNG3eCum7cNrmaUw17ARvyy/hj07UW9rzXE3F7eiPayNsp1l0WngUZTjO7+v2QzjGFBXx+cSy3BvfzmptEARwF+mxWFw0mF+EzZNDopyh2NIgkliPC25WPv3G6w4jHR/xvNBuhu3jaY3t0T835v7v84srAnOjq3nYbOhYelmK4ULts7p2ubiZa1YxztxnLtPDFetnx8NT4Uc3cmYFtcJiI8LDG8k6YsuhWfhV+mR2LED5fRJNadBQj4+DgerhpCyUx42PBx7p3eWlO3cWnl+EycjEtL+yDmi3M69xu1+gwOL+iJYKVQFUEQmB3jjZdCnRG9RnNl1pI6oQR1pRKYcxjwtOXjzmM0XoqkMhxIzMMB/SbAJiHIyRyH3uyBvxLz8N6Bu+TjHCYNU7t66Aw8hoU4kXL66hgz5aIOl0lHqKulzuCjh4+t3gDCVk29VKWrUVIrREW9CJGeVkYHH9072FAk5AHgpwsZ6Oplgw+GBFBGO7UhksoAqeIYpDI5RBIZJP/nUcjGyRFYe+wBaegGAKFulvh1Zhfsup5D6njM7umF+haBh7MFBztnR8PWjIXp229oBB42fBaWDPTDy5ubG0y/nxTepoFHTZMY7yunW2Z092wPPF4w2ssu7ehkUEdH0op86f47OgXI/BwE2Dg5wuD+/D46plGm8LLl6/RaSciuxLRt8bj8nn5/l+HfX8beG1STMQdzDjLXDsU7A/0MHheg6Ie4k1cNAZtBCm89b/wyLRIH3+iBdcdSKIEHk05gYhd3fKWlzwNQrGw/f7mT1n6TYVr8N/TRw8cGYpnuILNbB/03APWpkYp6EVn6elBYo9GcrI8r6eVaJ47e+uMWBgc74vXexonF1TZJ0CCSgiAUzZbGlO1eRLZOj8SHf9+lBB7DQpzwx2td8fPFDDLwWNDXB3VCCUU23daMjV2vdYWzBQdL99+huNeq2DkrmhJ4LOzni5d0eDiZilWHk1FY3QRPGx6WDvZv09/Vjun5//xLa8dkvDPQD928FQJk835P0Klo2S/QAe8PMVxvjVh5SkN3wdmSi5s6mlAzy+ox4JuLBnU93jtwF5O3XKMcH0EQeLOvL659oH3EVxu1QgnZvDk+0tVgT8vTYFxnV6SuGgwnSw5GbozD1svNY9B8Fh3h7lakcFhLbM0UmSltGivJBTWtLjn09rdHk56JoShP3XotquNRkVPRgEAnRaNpa4MPABBKZAhtITJW0yTBtG3xmNHdkwycjUEslaOyQQyRRAYaoSjHPUlvy/PCkGBHLBsaiFm/3qSYRy7s64MNk8Lx+fEU/KicLntnoB/SSuooQmEWXCZ2zoqCpw0Pnxy6T2lsVnFiUSzFRG5MhAsW9/dtw3elkPrfdzMPBAF8OS4UPFZ7Ev9Foz34aEcvDDoN308Oh6M5B+ml9XhPhwAZAMyN9cbELm5691fTJMGg7y5C1uKuZ2vGRtIn2g3kGsVSDPruIn6fFa3Xg+VKejmCPz2BO3lVlMcdLRRZkPUTw/QeW0v23czD1YxydPW2xrKhgejj/3Q9IiZHu+PBZ4Px3pAArDuWgmEbLlPKJHwWHXYCNuLVJhHUMWMzsHV6F7haaTbWyuVyTNpyrdXH1CfAHg16gg8mg4A1n6XzeXUJ85JaIbxszQAoTOvsBGzK92trxtabiThypxDvDPTTMKLLLm/A1K3X8VqMl1Z3ZUPI5IpyXGvVW02JKTIw68aEgEYjsPootf/puwlheLOvL5buv0MGre8PCcC1jAqKu7KtGRt753ZFoJM5Vh95oHWc/d83e2Lc5ivkvzt7WOHLl0PbTDodAKobxHj/L0W5ZVYPL3QxEPC283zSHny0YxBbNQGyI3cLKStvdQiCwOrRIRjcUb8aaFpJHSZtuaYRxFjwmLi/YpBOp9QpW6/jlWgPfPFyJ737H/FDHL4/84gS4BAEgZFhLkhdNRgjWpkOvpZRgdVHH+BcaimGBDti+UtBWNzfjxwVNSWeNjz8Oa8bMtcOxbzYDlh/5hFivzin4c8CKEaHdY3j8lh07JjZRSMzoOLwnULKStgY/B0EcLHkolHHuDEA1DRK4GalWxnUgksNTFTBSLLSD6S/moZLWZ0QgwycS1O3xuPfN3tqjE8/LK7DsA2X0dPHFrtnR8PB/MUQCXNSysyLDIjKGWLHzC7YejkTR+4Uko/Z8Fk48Hp39PKzw5St13EgMQ80AvhoWCCO3yvC5bTmPh4XSy7+nNcNAY7m+OJ4CtkkrM7vs6Lx2eH7qGlSZBsteUzsmh3d5hmjFYfvo7hGCG9bPt4Z1F5ueVFpDz7aMYrOHlb4aJhi4mXtsRSdq206jcD6SWEGfVGuZ1Zgzs4EjQCEz2bg5kf9dUpbLz1wBznlDTj/Tm+9+//61ENErz2D0lrqmC+bQceGSeGIX9aPvNC3hmP3irD832R8e/ohIj2t8O4gf2ybEYlfpkViSld3nXbwuohwt8TKUcGIX9YPWeuGYc+crsgsrceUrdcR++U5bL6QrjfToA0Bh4HtM7ogUseKsLJepLMxVR99lMaCjXqOp04ohqueEWYGjaCUXlTBR2pxLaobxBjSwjjQ1owFTxvN/akHqF3XnsHpt3tp+MMU1TSh79cXIJHJcfytWJOYErYF6iPfhdX6nYUNEelhhe8nhePN3bco6rb+DgIcerMHrHhMjP4xDvGZFTBjM7BuTCfsvZGL22rj3V62fOyb1w1etnx8e+ohWZZRZ/OUCJxMLsKNrGazuItL+xgU43tSTicX46/EfNCU5Za2/n3ttB3to7btGI1cLseivbdx6HYB7ARs/PNmDzhZaA8S6oQSvLLlmkHZ7tHhLvhmvGaaViyVYeLP1yhOmOqMCHXG2jEh6PjpCYPH/dPUzjpX0Em5VQbHeY0l1NUCQc4W8LDhwd1a8Z+zJRc8lkJXQqWvIZHKUCeUoKZRgqzyejwqqUNaSR1uZlVQbhiPg5MFBztmRsFfj2jX/F0JOHq3SOtzYyJc8Fdivtbn9s/rhkhPa4zddEXn93J4QU/8e6eAIl6lzl/zu2Pd0RTEZymC1/m9O+D4/SJklNZjy7RIDAhywEvfX8bdfMV5Y81n4ZvxoZix/YbGvngsOhmYMWgEbn0yAK//nkhZwauY0d0T7w8JwM2sSqw6koyUoscf6TUVEyLdsPemphGbOq1R5d02IxI3syo1goW+AfbYMCkcd/Kq8PrviahuFMPFkotPXgrCZ/8mI7+quQk1wFGAnbOiYSdg44ezj7Q2MW+cHIH8qgasOUo1i2srzxYVBVWNGLbhEiobxJgT693uWPsc0j5q206bQBAE1o4JQUphLVKLazFz+w2lFbmmYqgZm4EdM6Mw7qerehU0/76VDx6LjtWjqaqmTDoNf87thoV/3MJhtdSxin+SCpBdXo/Ejwfgpe8vUy6gLZm7MwGhbpb4eWpnOLS4QIa6WSJr3TAkZFdi7KYrOvZgHEl51TqDLYJoVvRsbSbDWDp7WGHj5Ag46snoHLqdrzPwoBG67ewdzTmkL0dL0Th1hBIp3LT0mKgoqRGigz2fDD7u5FWjq7cNMkrrcflRKQYEOWBMhAsZfFTUi5Bf1Yg5sd74+SI1oJHJ5eAwaWgSK8ZkY784hwtL++CnC+nYeI56A95xJQs7rmRh85QIHFkYg8N3CrA9Louy4n8aDAxyQINIistpZXoDD1szFsrqREYFHnYCNva8Fo1PDt3XGD+e16sD3h3kjwMJefjw77uQyOQIc7PE4gF+WLLvNsrqmr/vMDdL7JjZBZY8FjaeS9MaeHw/KRxVjSJK4HHund5tHniIpTK8uTsRlQ1ihLhYYImRU2ztPL+0l13aaRU8FgNbZ0TCTsBGSlEt5utRQLXis7BzVpRBd9Bd13Ow4l9NnxgajcD3k8KxsJ/2zvmkvGpErzmNDZPCsWFSuN7fkZRbheg1Z7DzapZGsyuguHFnrRuGwwt6tsm4pVyuCDr+1959xzV1tQEc/yWMsEE2yJAhIqIIuDfubdVardVaq93Wtnbb9lXbqrV7OrqsdteqndpWrXuLe6Oyp+wdILnvH5FISBgqELDn+/n4eV+SCzmXS3OfnPOc52mswOORAQH88GCPWgOPuMwinvjheI3P//hQT/YamDUATSM8+bW1/KxCwwEKQGm5Wq9BXlUZBaUEuNhovz6ZlEv/IE0i778XMpAkiQnhXjr5NJ/uusITg9piWy0XqLRcTRun6w3pcorL6bTwH6Z29+Wnh3oafP2HvzlKwPxNWJiZsP6RXmx8tBfTevjg3kg3z3ZutjzUz595QzQ3y3/OphucmalUuQSTWcvvuKo37+zEiyOCGb98n07g4WRtzlczu/LcsHa8+fd5nlt/kgq1xOhOHjw9NIg53x7VeY2e/k58M7u7NvCo3Hpb1QdTOlOhVvPSxus9dH59rDd+zjfXFPBGvPX3BY4m5GJrYconUyNQmIrllpZOBB/CDfNqZcWXM7piaWbC7phMXtp4qsYdMB72lnw9q1utOyAAVu+NMxiAyGQy5g0JYvk9huuIlKskJq7Yx9UCJafr0eX2lV/PELLgLy7WULMktLU9F18fwdZ5/evcNtoc+Dlb8+ODPXh+eHCtJazzS8t1tkNW19nbgcsZhZSrDF/H0Z08AE2n3YIatltXPl9bwmlGvpK2bteXhPJLK/BuZYW5qZzE7BIuphdib2WmU8MjPquYjceS2fREX72fdz6tgEHBrjpJjr3f+Jfc4jJOLhxKpK/hfi8PfR1NwPxNbDiazH29/Nj/4kB+m9Ob54a3Y1RHD3wN5JnUxcfRipEd3XlueDs+mNKZkR3duZBewKpdV3Ta1RvS+VpicF2VgqvaOq8//57LYN5PJygovX5Nevg7sumJvnTzc+SRb6O1S2BzBwYyuL0bs9cc0bmGA4NdWT2zKzYK0xoDj3fvCsPMRM5TP17vnLzm/m41JjQ3pC1n07WzXm/dGYbPTVwbofkROR/CTdt2Lp0H1h5BLWnatT9ewwwFwOnkPO5atb/OT/4TIlrzziTDW/VOJeUx5uM9NX7viFB3lt3ZiYfWRrP/St1ly+/r1YbnhrertUZAabmKbw7E17tce1N6fngws/r41TlTU65SM/2Lgxy4YjhJGOD4/4bw4Npo7XJIVa0dLNnzfBQymYzk3BJ6v/FvjT9n+T0RDAx2JfiVvww+PynSi5dHh9D51X+ofOd5Z1IYm0+nsvVcBo8PDOTpoe24fLWQIe/u1NYhcbFVsP2ZARyOy2amgfyPUZ08OBKXTXr+9SWhqd19eH54MLGZRdxRz7ye54cHM6i9KwEuNpSWq8goUJJZqORqgZLC0grkchlyGchlMmwUprjZWWBuKudsah4Lfzt7QzuIAl1tsDCT65Q6r4+P7g7HwsyEFzec1JsheWpwEHMGBhKfVcRj3x3jXGo+5iZylk7oSExGISt36i5Hje7kwXuTO2NmIufDbTEGg6S37uxEKytzZq+9Xrb+vclhjA9v/GJ8idnFjPpwN/mltbd5EJqHG7l/i+BDuCVfH4jnlWutzN+9K4wJETW/IR24ksW0zw/qlbFWmMpRVtla2NPfiW9nd9dO81eVnl9aa9l0D3sLPp/RBbWaWgOVqhaPD2VyF2+9hmvVXcoo4P2tMQZzUJrSM0ODuLdXG+wM5NpUp1JLzP3hmM6Wy+r+NzqE3oHODHt/l8HnHxkQoG3YFR2fzcQV+w0eB9f/Brov2aoTCFTqFeDEdw/00OnjMibMkyEhbsz9/hg+jlbsfHaAZsbrx+NsOHY9+XVm7zYsGNOhxk/nY8I8KVJW8O/5DO1jZiYyXhsXyqQu3uyKuWowcGlKbZys6OjlwN9n0m54O+2YME8Wjglh2V/n+emIbrEvNzsFH0wJp4e/E78eT2b+hlMUlalwsjbn7bvC+GZ/PNuq/F5A8/t8eVQIchnM33ia7w/pVgkGTa0Qd3sLnYTfl0a254FqnZEbQ1mFmkkr93EiKY8wbwfWPdTztq1Ae7u4kfu3uJLCLZnew1fbov359SfZV8t6dg9/J1ZO02+traxQ62x73X8li6h3dhjMJXGzs+Dcq8MJ8TD8h52aV8qoD/dwNjWPK0tG1uscXtp4msCXNvPX6dQal48AAl1t+XhqBHFvjGL7MwO4r1ebev38hhDsbsv7kztz7tXhzBnYtt6Bx4sbTtYaeIDmJvT1gTiDz8lkcHfX6z1h4muoK1Kpsr9PTUmnlQ38Iqosh+y8kEFUOxeszE1IyC7WztDMHdRWp/vsmn1xHEvI4bGoQEZ19ND72b+fSCHlWnJqpXKVxAsbTjHkvZ1cLVBql9RupKPxreraphUze7chwseBuKxifj+RcsOBx94XBjIi1J0xH+3RCzwGtHNh09y+dPZ24MUNJ3nih+MUlano7ufIimmRLP7znE7gYSqXsWR8RxaM6YBakrhv9WGDgcfi8aH4OFrpBB4P9fdvksADNN1qTyTlYW9pxidTw0XgcZsRMx/CLVOrJR6/9una1sKU9Y/0Isit5q2eG44mMe+nE3qP+zpZ6dzczE3knFgwFEtz/eQytVri9T/P8eVewwXPQLOEs2hsBw5eydaZMq6NuYmcr2d1u6EmVXkl5RxPzOXn6CR+P5FS9zfUU9+2zowN86RvW5daE0kNKS1XMee7o2w9l1HrcftfHIipXE6fZf/qzD5V6h/kwpr7u2m/fm/LRT7YFlPjz1s0tgMzerXhqR+Ps/GY4S27ZxYNY/PpNJ5Zd/1v4KeHevLL8WS+O5jAqE4e2l5BSzedY1WVXS4+jlb8ObcPthZmTP3sgN7ujkqLx4eyfPtlvV1QrrYKJkR4Ma6zJ8HuthyJz2Hxn+cadNdL37bO9PB3Qlmu4p+z6be0rXfltEgCXa1Z8NsZvQ7IdhamvDwqhEldvLh8tYg53x3lfFoBMhnMiQqkSxtH5n5/TGcpyN7SjBX3RNAr0JkiZQXjl+/lYrr+brTXxnWgnbsdd626Psv1UD9/XhgR3KjVSyttPpXKI99qOjV+MaMLg6oUnxOaL7HsIjS50nIV0784yOG4HFo7WLLx0V61br/7en8cr/yqn2DaxslKr2rnif8Nxd7K8Cf9306kMLeWgll2FqZ8PDWCvm2d8XtxUz3PRlPV9c07OzIgyNXg8k9t1GqJlLwSErNLuJJZyKmkPE4m5ZGYU6yTGAiaWhVt3Wxp725LiKcdAS42BLra4GqruOk3+bS8UmZ+dbjOjrUrp0UwPNSDpZvP1ViXo7L2RqUnfzim0+20uoVjQrivtx/v/HOBj/69ZPCYPx7XVCSt2q344f4BjA3zZOSHuzGVy9j5XBStHSwpVFYw6J0dOks4ozt58NHd4chkMmauPsT2C/qNzkDTFt7FVsGHNQRLga429Al0ppufI13bOOJiqyAtr5S/Tqey93IWZ1Pya9zC3drBkhBPO7r4tsLH0Qq5XMbJpFyOxOUQHZ9zyx1yX7sjlHGdPfloWwyr98bp/bwRoe4sGtsBVzsLfjmWzPyNpyguU+FsY877k8O5lFHAa3+e0ykR7+9szeczuuDvYkNWoZKot3doq5NWtWBMCGHeDkxYfn3r+cP9A3h+eLsmCTzis4oY/eEeCpQVPNTPnxdFPY8WQwQfglHkFJUxccU+rmQWEdrajh8f7Il1DaXSAX48nKDTnbWSrcJUb0fFwfmD9Gp0VDqbkl/rTg6AKV29eWlUe9LzlQx+d2c9zua6NyZ05I7w1i2imuLOi1eZ8eWhOo/rHejEt7N7kJJbQtTbOwzOerR2sGTXc1E6O0nGL9/LsYRcvWNN5DJUaon/jQ7h/j5+/HQ4keeutTuv7oMpnRnXuTXD39+lnRXwc7bm36f7M/Wzg+y/ksV9vdqwcKymL8v28xnM/Eo3V+OJQW156tr21TerNEcz5Nlh7bhaoOTbg/E17uYBTVdbXydr2jhZ4WZvgZWZKVbmJliam1ChUlNUpqJQWUGRsoLUvFLiMouIzy6+5VLoVS0YE8K9Pdvw+4kUlmw6R0a1Cr0utgpeG9eB4aEeFJdVsOi3s9p6IT39nXjzzk4s33FJpystaK738qmR2FuZkZBVTL+3tmPIO5PCaOduy+iPrudLPToggOeG1900siGUlquYuGIfZ1Ly6eLbiu8f7FHrLi6heRHBh2A08VlFTFi+j6yiMqLaufDZvV1qTeT89XhyrbUnqtr+zIAaawoUKSt44odjtS4zuNgqeGdSGP2CXHhxwymD69y1mTswkKndfW94CaQp5BaXsWTTOb18gJpcWTISuVw/qbOq54cH67SmV6slwhb9Y3CrrZ+zNbGZRbw8qj2z+/qz73ImUz87aPDnPtw/gBdGBPPuPxf4sMrsyPpHelFaruKezw+iMJWz89ko7e/65V9O8c0B3ev1xoSOTOmmyUcxFKBU90BfPxyszPnjZGqds0K3ylQuu6HZj5dGtuf+Pn7suniV97deNFisbnIXb+aPbI+9lRn7LmXywoZTJGQXI5NpgrERoR48+eNxvXO7p7sPC8d2wMxEzunkPJ3AoqrVM7viZG3O2I+v7wx6LCqAZ4c1TeAB16+zo7U5f87tU2MFZaF5EgmngtH4Ommmdi3M5Gy/cJUFv52pNYlzXOfWrKihhkd1UW/v4HSy4Qqi1gpTPp/RlXcmhdX4/VcLlNz75SFeWH+S+SODOf/a8Hq9bqUP/71Ej6XbGP7+LtZHJ1FUS72LpqKsULF2fxydX91S78Dj/GvDkctl7LuUWWPgYW9pxrQePjqPJeYU11jjo3oCZ21VTo8nakqzD61W8n7dkUR6BTjRtU0rlBVq3vnn+o6Wl0eF0LG1bkfjFzac4tuDmk6rUcGunFxouCtypc92x/LW3xe4crWQOVGBPD0kiH5BLjjUsKR3I7wddW+S9Q08Pru3C1eWjKStmw0TV+xj5leH9QKPdm62fDe7O8vu7IRMDi9uOMnUzw+SkF2Mp70F387qjqutBeM+0e16LJdplsFevyMUMxM5e2Iyaww8fnmsN+Ymcp3AY05UYJMGHr8eT9YGmO/eFSYCj9ucmPkQGsXfZ9J4+JtoJEnTrvvh/gG1Hv/v+XRmrzlCfd6zP50eqXfjqurK1UIGvlP70oq9pRlLJ3RkRKg7KXmltdauqM3g9q5M6epDzwCnWpeYGlpeSTkbjyaxZNN5ymqoMGvI6Wtdg4vLKhj+/u4ai1o9ObgtTw7WLWH958lUHvvuqMHjJ4S3ZsOxZOaPDObBfgFUqNQEvrTZ4LFW5iacWjgMuQz6LNuuzauwMJNz4MVBxGYWMX75PmQyTQXNTl4OAKTmlTDmo71kVivv/tTgIB4fGKjNzflyTyyv/nG23r8TW4Up3f0dcbe3QGFqgkotcbVASYGyArVaQqWWUEkSpnIZkgRZRUrism5+uaVPoDNvTOxIawdLdsdk8t7WiwaXslxtFTw9NIg7I70xkcvYdi6dlzaeJi1f03xueg9fHurvz+t/nOOvM7ol851tFLw/uTN92joD8HN0kk6Cb1X/Pt1fW624UtVlraZw+WohYz/aQ1GZijlRgaJbbQslll2EZqHqTeD9yZ25I7x1rcfviclk1prDBvMPqpvdx4+XRrWvMQGutFzF/A2navxkX6m7nyP/GxNCB0/7W24y187NljvCW9MvyJkQD7sGT84rLVdxKDabjceSa9xJUpszi4ZhrTBFkiSeWXeS9UcNz5Q4WZuz87konc6xAMv+Os+KGnIrJkZ4sf5okk6gWVOtD4DNT/SlvYedXrJr5VLPEz8c49fjKbT3sOO3Ob216/6nk/OY+tkBvUTJEaHuvDUpTDtmZYWKp386YfSaLJVM5DLenNiJ0WEeSJImkFt7IJ4TBnbZWJmb8FC/AB7o54eVuSnZRWUs+v0Mv15L9G3jZMUbEzsB8NSPx/U64fZt68w7d4XhamtBhUrN/I2napwVOzR/EFuuBTWV6vNhoSGVlKkYv3wv59MK6O7nyLezu9dZc0donkTwITQbr/5+li/3xiKXwUd3RzCqk359hqoOxWYzc/Uhgw21AlysuXytTgRo8gw2ze1rcCtupb/PpPHQ19F1jvPubt48PbQdzjYKtl/IaJBiVB087eju50QHTzs6tLbDu5VVvWdHJEkio0DJudR8zqcVsO9yFrsuGt7VUR8xi0dob+A/HErghQ36ib6VXh3XgXt7ttF7fNrnBw32Jekf5IKrrYJ10Uk8N7wdjw4IBODuTw/UWGl28fhQ7unuqzdL5WRtzu7noyguUzHk3Z3kFJfrzcIcT8xl2ucHKay2BNTawZI37+xE70Bn7WMlZSo+/DemxqCpMZnKZbx5ZydGhHpgaW5CYnYx3x5M4KcjiQYb+MllMLmrN08NDsLVzgK1WmLjsWSWbDpHVlEZchnM7uvP3EFtrzXPu6QzU2gi17QieKR/AHK5jMxCJeM+3mtwx047N1vWPdKTr/bG6VQ1XTAmhJm9/Rrl91GT538+yY9HEnG2MWfT3L6N3qROaDwi+BCaDbVa4vn1J1kXnYSJXMYnUyMYHlrzkgnAsYQcZnx5yOA2wHGdPbWfACvtfWFgrc3rsgqVPPvzSZ3Kl4aYyGW8MDyYGb3aYG4q58CVLKZ8eqDW77kZJnIZIR52eDpYYCqXI5fLMJXLKC6rIKNASUx6od6N9WZ52Fuw74WB2lmYXRevcv9Xh2vMSWjvYcfvc3rrffJUVqho97Lhkukze7ehWKnixyOJPDusHY9FaYKP534+UeMn7uEd3Fk5XVNwrnqQUrl0U5mMLJfBN7O70yvgelBxOjmPWWsOG5xZmRDRmqeHttP5m5AkiZNJebz593m9ehkNaUpXbyZEeBHmbY/C1ITSchU7LmTwc3QS285nYOjd1sxExoRwLx7s769tunfgShaL/zyn7e7bzs2WN+/shMJMzgvrT+nVJfG0t+DDu8Ppcq0f0cmkXJ38jaqGhrjx4d3hvPbHWb49eD2J9/U7QpnWw7cBfgv1tz46iafXnUAmg29mddcJHIWWRwQfQrOiUks8u+4EG44lY2YiY+W0yDqLBp1OzmP6FwfJKdbvlXFfrzZ8tS9O57GfHupJN7/aG8HVZ0cEaD5BPzGoLeMjWmNmIicjv5RutZR0b65W3BPBiCqVQI8l5DDt84O1tmnf8GgvInz0m7HVFoj9b3QIMRkFfH8okWeGBjFnoKbHz0fbYninhoZqClM5pxYOw9xUzr/n07n/q+tF4GwtTNnxzACcbBQ8u+4E66KTcLYxZ+OjvXU65qbmlTDrqyOcNbBzxdxUzrTuvszs3Uavy64kSaTmlXIoNpvvDiVwKLbmnje1GdzelcHt3ejgaU97D1ttwFZSpgk4/jyVyr/nM2rsZ2RtbsI9PXy5v7efdldPbGYRb2w+x99n0gGwUZjyWFQg9/TwYcWOy3y264pe4DgkxI237uyEg5WmeeO6I4k8+7Phbc4zevoyf1R7Hv46Wqc+ytuTwrgzsvF7tVQVk17A2I/3UlKuMphjJLQ8IvgQmh2VWuLJH4/z+4kUzE3kfHpvJAPaudb6PRfTC5j2+UG9WgcAY8M8+a1aNdGalguqKlRW8L9fT7PhaN05E60dLHlkQACTunihMDWhXKVm9poj7LyF5Y+mcvH1ETrlqPdfzmL2msO1Bh4P9vNnfg0FnWorGvb1rG78djxFb9mlrm3U383uTq9AZ9RqieEf7NKptHl3Nx+WTuhISZmKCSv2cS41nwAXa9Y/0kt7kwXNjMybf13giz2GK93KZBDVzpVJkV70C3KpddlLrZbILFJSpFRRrlJTVqGmQi1hozDBztIMe0szg63c1WqJ82kFHIzN4sCVLHbHZNbaQNHZxpyZvf2Y1t1XWzwvt7iMD7dd4usDcZSrJOQyTWO8JwcHcS41n5c2ntZLDjY3kTN/pGamTiaTUVah5n+/nuaHw4mGXpYFY0KY3NWbcR/vJSbj+u/6m1ndtYmpTaVIWcG4T/ZyKaOQPoHOrLm/m049GaFlEsGH0CxVqNQ8/v0xNp9Ow9xUzpczutb5ppecW8Ksrw4bLFHt7WhJYrbuenbfts58MaNrnX0gouNzmLhiX63HVHKzU/BQvwDu7uajzS+JzSwi6u0d9fr+pvTPU/30Stv/ciyZ59efrDWRt72HHb881svgzRVg1Ie7OZNiuDbGoZcG8cam82w4lqzTdOxcaj4jPtAUf3O2MdfrwDq7jx8vj9Z0Kf3rdCoPf6O7k6YyOEnLK2XC8r2k5JXSycuetfd30wlAAPZeyuR/v57WyQmqztxUTu8AJ3oGONGxtQOhre2wrUePnKoqVGoSsouJySjkUkYhxxNzORSbXWc3W7kMBrRz5a4uXgwMdtP+feYWl7FmXzxf7o3V/owB7VyYP7I9jtbmvP7HWYMVZcO8HVg2sSPB7pr3yIyCUkZ/uMdgoA7ww4M9CHa3pdvibTq7oyoTf5uSWi3x8DfR/HM2HVdbBZue6IuzjaJJxyA0DhF8CM1WuUrNo98eZcvZdCzM5Ky+rxs9A2rvo1JQWs7j3x9jRw1ltEM87PSm3nc/F6U33V6dskLFZ7uu8PY/hpcGqmtlZcbU7j5M6eqj87NrK6jVVLbO60+gq43OY8oKFUs3nddboqrO0syEP+f2wd/FxuDzdXUSjl06krk/aGa1KiucgqYradDLmu22pnIZthamOstoLrYKDrw4CBO5DEmSuGP5Pp3dH16tLPlzbl/sLc24mF7AlE8PkF1URjs3W76e1U0vMbFcpWbNvjg+2X7J4HJddTIZeNpb4m5vgbudBS62ChRmckxkMkzkMtSSRG5xObnF5WQXlZFZqCQ+q/iGtjYHuFgzqYs3E8Jb64w3I7+Uz/fE8u2BeO1sVJCbDS+NCqFPoDM/RyeydPN5cqudh6WZCU8PDWJmbz/tTMGemEymfWH478/FVsGvj/WmuEylV9l3/4sDjVJLo7Jfj7mJnO8e6K7NUxFaPhF8CM2askKlXXO2Mjdhzf3d6FrHG1CFSs2rf5xl7f54g8/P7N2G1XvjdB57Z1IYE+uxjn21QMmyv87zc3T9inSBZofH1O4+DAp21UnOzCsu58kfj9XYb6QhTevhw6tjQw32njmakMNzP5/kUoZ+07DqVs/sSlQtS2Cf777C63+eM/hcT38nvn+wB498E83m02m8Nq4D06ssfUW+toWsazs7RnZ0Z9Mp3XoUa+7vRv8gF0CTkzJhxT6dpMzB7d34dHokcrmMmPQC7rm2DOdmp2DFtEiD+SklZSp+jk7ks92xNdYxaSwyGXTycmBQsCsDg13p4Km75Tohq5iVuy7z85EkbRAT7G7Lo1GBjAx1Z8+lTN7YfN7gTF+fQGeWjO+Ij5Mm8C0tV7Ho97M1VuqdEN6aJRM6su9ypk5OjZudgq3z+t/wrE9DqLrTqrLMvnD7EMGH0OyVlqt4YO0RdsdkYm1uwtpZ3Yn01b+RVCVJEqv3xtVYQOrJwW15f6tuE7FwHwfW3t+tXm+0lzIKePqnEwZLW9fEzU7BpEhvRnR0N1jbo7isgu8PJfLaDRS9qomtwpQV0yLpHehUYw2RxOxiPtgWw/qjSQZ3VlS3ZHxHpnb3qfWYQe/sqHE54/7efvxvTAiz1xxh67l0lk7oyN3drv+8ynodAI8MCNDb8jqqowefVKlwO3/jKb47qHsznTuoLfOuFbxKyCpm1prDxGQUYmYi49lh7ZjVx99gvoBaLXEkPoffTiSz6VSawe2tDaG1gyWdfRwYEOTCgHauuNjqLiFUqNTsirnKD4cS2XouXbs9NtK3FY9FBRDVzpWTSXm8sfm8wa3JdhamvDw6hEmRXtrrfjo5jzEf76nxGr82rgPTeviyfMdl3vr7eqXYgcGurJoeaZR+KXsvZTLjy0NUqKUmL2ImNA0RfAgtQmm5ivu/Osy+y1nYKkz59oHu2mqWtdl6Np25PxwzmNQ3ItSd0yl5erkg6x/pVWdwU2n/5Swe++7oDd+svFpZMryDO8ND3YnwaVVrN1xJksgrKScxu4Tk3GLySyooVFZgYWZCG2crAl1taGVlXu+bxJmUPL45EM/P0Um1Nk+rqnJLa23qqhb70d3hjAnz5L7Vh9hx4Spv3dmJSV28tc9XnTX53+gQg4Hj0VeG4GityeEoVFYw8gP9yquv3RHK9GvbQAuVFTy77gSbT2tmUcK8HVgyPpQOnrrl16tSqyUupBdwKDabQ7HZXEgvIOEGl1AszOR4tbLCu5Uloa3tCfNyoJO3Pa62hutSJGYX89ORRNYdSdJWJQXoF+TCYwMC6ObnSHxWMW/9c4E/ayiGNrKjOwvHdtC+hkotsWrXZd7864LB4wHWPdyTUE97nvjhGP+cTdc+PicqkKeHBjVJZ9rqLmUUMn75XgpKKxgb5skHUzobZRxC4xLBh9BiFJdVcN/qwxyKzcbOwpTvHuhBaOuabyKVaqvzAPDc8HZ6b9CPRQUwb0i7emXVq9USf59JY9HvZ3VuHPXlbKOgh78j3fwc6eLrSDt32wbP5k/IKmbruXR+P5lisDx3bepb06F6BdLqKnNrKguQVa9kGx2fzcQV+wHN7o2cojJt0FDp6SFBPD6orc733LXqACq1hMJUjrJCjUwGr467HoBIksRPRxJ5/Y9z2n4z4zp7Mm9IEL5OhpsPVqdSS6TmlZCSW0qRskLbsVYlSZputmYmWJiZYG9phrejFU7W5nXeMNPzS9lyNp2/Tqex93KmdmailZUZEyK8mNzVmyA3W65cLeSz3bGsO5JosOZKx9b2zB/ZXicfKjG7mJlfHa5xKS3Y3ZavZnZDJUmM/GC3ThKsMbbSVsouKuOOT/aSkF1MpG8rvp3dvUV0iBZunAg+hBalUFnBjC8PER2fg4OVGV/f352OXnUHILXVeQBYOqEjLxqo5Lnn+Si8aml8VpUkSey/VvCppt0e9WFrYUq4TyuCXG3wd7HB38WaABcbnG3qvqFVzpLEZxVzKjmPU0l5RCfk1Cufw5Dq9T9qUlKmov3/rhcWmzckSKcappO1OUdeHoxMJmPyqv0cjM3m46nhjO7kqT2mtFxF8Cuan2FtbsLHUyMM1lo5++owrMyvb4P9en8cr/x6BpkMHK3MtXkj84Zo+rhU/s5S80pY/Oc5bRl1mQwGBbsyrYcvfdu6NPr2TUnSzKhsOZPO1nPpekt2fds6M7mrN0NC3FCYmhAdn82qnVfYci7d4JKJp70Fzw0PZmyYp3bmTJIkfo5OqrF2B2ja3j85OIhjCTlMrlaP5dvZxivepaxQMe3zgxyOy8Hb0ZJfHu2Nk9jZctsSwYfQ4hSUljP9i0McT8zF2tyEVdO71Kv2QJGygid/PM6WKtPLVQ3r4EahskKvquWzw9rxUD//G+ohcTo5jw+2xdT4WjfD3ESOvZWmhoSDpRmW5pp6IhUqiXK1RF5xGal5pfXqd1OXABdrVk2PJNDVtu6D0W/QFuHjwNEqMyxDQtz47N4uAExYvpejCbmsnBapV8G29xv/akt8H31lCMPf36W3JbRqZVTQ3HAX/HaGtfvjMZHL8He21tamGNbBjbcnhenk8ZxOzuPtfy7o7IhytjFnULAbQ0Lc6NrGUVtT41aUlqs4lZxHdHwO0fE5HI3P0QZGoAl+Ons7MLi9G2PDPPF2tEKllthyNp1Pd13W+f1VZaMw5dGoAO7v7aczKxCTXsDstUeIz6o5cbaywF5lwFbJxVbBL4/1rrX6b2OSJIl5P51g47FkbC1M2fBIL9q61e9vT2iZRPAhtEgFpeU89HU0+y5nYWYi473JnXU+RddEkiQ+3x3LG3+dR1VD2fD3J3fmyR+P6z3+25ze9cozqSopp5h1R5L4YFtM3Qc3E7P7+DFvaJDO7EJtqs5YgKZz7HtbdbckLxrbgRm92gAw/P1dnE8r4OtZ3ejb1kXnuNf/OMvn14qAfXlfFw7H5RjstXL4pcE6yZpqtcQz1yrjymUQ2tqe86kFlKnUtHawZOmEjvQL0n2ty1cL+eZAPOujk/TK8/s7W9PJyx4/Zxs8HCxo7WCJo7U55qZyzE3k2iWe/NJyCkoryC8pJy2/lNjMIuKzionLLCIhu1hvmURhKqdPoDNDQtwY2N5Vm5+RmF3MhqPJrD+aVOOuG3MTOVO6eTN3UFudWhdFygo+2BbDp7tqXvIaH96aReM6YCKT8cQPx9h67nr7gDsjvVg8PrTGui1N4cNtMby75SImchlrZnZr8kJmQtMTwYfQYikrVMz78QR/nkpFJtPc4OqqWlopOj6bOd8d0+vyWWnR2A5sOJqkNzU+McKLhWNDbnjroVotse9yFmv2xzXobEhD6uLbiv+NCbnhAOvjf2N06p+sf6SXXlG2qrVF+r25nYTsYoOJvbsuXuXeLw8BmtL4D/Tzp/cb/+q95h2dPXl/SrjOYxUqNS9sOKXdBt3FtxWJOcXaXJ9xnT15Zmg7vZouZRVqDsZmseVsOjsvXq115uBGudgqiPRpRaRvKyJ8WxHa2k57ky9SVrDpVCrrjyZx4ErNZdutzU2Y1sOXWX38dOp/SJIm16h6wbXqKpe3DHVifm9yGOPDjZPfUem3EynM/f4YUL8dVcLtoVGDj127dvHWW28RHR1NamoqGzdu5I477tA+L0kSixYt4tNPPyUnJ4fu3bvzySef0KFDhwYfvHB7UqklFv52hq8PaGp6zB0YyFND6peln11UxryfjtdYkMzdzoI37+ykvRlWtXJaJMM6uN1UFn5ucRmbTqWx+XQqu2P0O782tTBvB54a3Jb+QS43fD5peaX0WHq9qNjD/QP0OrFWb1jX5fUtZBaW8feT/Wjnrju1Xn0WJXbpSF7ccMpgGfDV93UlKli35ogkSby/NUY70xToaoOngyW7Y64iSZrGbFO6+jCzd5saC6XlFJVxMjmPU0m5JOWUkJJXSnJOMXkl5SgrNKXUy1RqFKZybC3MsLUwxc7CDBdbBX7O1vg6WeHnZE0bZ2s87C10fqdZhUp2XLjKvxcy2F5LLxfQ5MnM7N2G6T3a6C0DxWcV8cy6ExyOy6nx+3v4O/Le5M642loY3PXy15N9tVVPjSU6Poe7PztAWYVap4qtcPtr1OBj8+bN7N27l4iICCZOnKgXfCxbtozFixfz1VdfERQUxOuvv86uXbu4cOECtrZ1r/eJ4EMAzQ3no38vaRMc7+7mw+t3hNZ7p8qKnZd5558L1LAKw5f3deGzXbF6dRU87C347oEe+DnXb8eEIcVlmhyTrWfT+fGI4T4bjWVKV2/u6e5br4RdQyRJYsbqw+yq0r/mxIKhhC36R+913pjYSft18CubKS1X11hZdtLKfdqb6uYn+mJtbkq/t7brHWdtbsL2ZwcY3L76z5k0nv35JHkl5ZibyOkV6ESRskLnZt23rTMTI7yIaufaIDkehigrVJxJyWf3xUz+vZDByaTcOmuqtHGyYmZvP+7q4q0t0V8pu6iMT7ZfqrE/TaWXR7Xn/t5+pBeU8sDaI5xOvp4A3cPfkU/v7YKdEQqHVZWYXcwdn+wlq6iMwe3dWDU9UvRs+Q9psmUXmUymE3xIkoSnpydPPvkkzz//PABKpRI3NzeWLVvGQw891KCDF25/3x6M55VfTqOWNImGH0wJr/c2vQNXspj7/bEa+1242ipYOT2SCcv1e7yM6ujBgrEhNdZwqC9JkojLKuZYQg5HE3LYfv6qNvmyIfg5W9Mn0JnBIW708He85TX+qhUoAT67twu/n0jRa+JXNbdDpZYImL8J0K3ZUdXa/XH871oy5FODg3hicFueWXfCYFXZbn6OfDOru8H+PMm5JczfcErb3M/FVkGYlz3FZSr2X8nSBgGmchnd/DRbncO8Hejs5UArA+Oqi6YWSzEX0go4kZTLicRczqbm16uWisJUzsiOHkzu6k13P0e9GaiC0nI+3x1bZ+7Q4PZuLBwbglcrK4M9cF4cEcyD/fyNXjcjv7Scicv3EZNRSIiHHese7llrIz/h9mO04OPKlSsEBARw9OhRwsOvr92OGzcOBwcH1qxZo/czlEolSuX1m0N+fj7e3t4i+BC0/jqdytzvj1OmUtPdz5HPZtT/E97VAiVP/XicPZdqXgpZNLYDZRVqFm/SLyH+UH9/5kQFNmgp6pIyFfHZRcRlFhOfVUR8djEpuSUUllZwtVBJer5md4uFqQkWZnLsru2E8bC3xNPBEk8HC9p72BHa2h57y4Yb15mUPEZ9uEf7tYOVGUdeGkzgS5t1jnOyNufg/EHanUIFpeV0XKiZGTn/2nCDwWFmoZIur2/Vfn1lyUjSC0rp/+YOg4W+JkZ48fakTgZvqJV5Ea/9cU4byNlbmtHlWq5JYk6xTofcSq2szGjdyvJaoqkCCzM5FmYmKEzllJarKS7T1PooLK0gJa+ExOySOhvGGdLB044pXb0Z27m1wetTUqZi7f44lm4+X+vPkcngs+ldGBziRnFZBS+sP6UXBP78cM9m0RulQqVm5leH2R2TiZudZpeNMfrGCMZ1I8FHg4alaWma4kFubm46j7u5uREfb7gnx9KlS1m0aFFDDkO4zQwP9WDN/eY8uPYIB2OzmbzqAGtmdtVrLGaIi62CNfd348s9sbz9zwWDW1YX/Kb5RL79mQEs+O2MzpLDqp1XWLXzCq+MDmFaD58G2T1gaW5CsLud0dfmq0rNK9EJPAD2vTCQZX/p3yBHdHTX2aJcmeNgIpehqKGbsLONgm5tHDkUp0nC3HMpk35BLjw1JMjga6w/moSVuQmvjuugF4DIZDKGh3owMNiNjceS+GT7ZRKyi9l2XrPbw8fRin5BLkiShCRpZktiM4vIKS4np7hcZ7miIchkEOnTiiEhmm29NeWdlJSpWBedqJ0Bqs2jAwJ4fGBbLM1NDDaOu7ubN6+MDqn37qXGJEkSC38/w+6YTCzNTPhiRlcReAh1apS/3OpvFpIk1Tgl+OKLLzJv3jzt15UzH4JQVc8AJ354qAczvjzMudR8JqzYx1czu+l1cjXERC7jgX7+DGrvynM/n+RIvOGEvqi3dzAp0ou9LwzU243x2h9nee2PsywYE8Lkrt7N4k2/oWQVKplYbelp/SO9UKklPtutn4cwMUJ3J0X+tdkBG4VprVP/k7t6a4OPrw/E0y/IhQf6+vHXmTSdbraVvj4QT2m5iiUTOhosM29uKmdyVx/ujPRm76VMfjqSyD9n0knILtbZ2upsoyDcxwFJggq1JrlULWk+rZerJMpValRqzf9WqKVrNVbUteZxOFmb06VNKwYFa7bX1tYSPj2/lLX74/hku/724up6+Dvy+h2hBLraklWo5Ol1x/Wa8X0zq3uz2ra6cucVvjmQgEymaRZXnwrFgtCg76Du7priQmlpaXh4XK+gmJGRoTcbUkmhUKBQiIp3Qt06eNqz4ZFeTP/yIPFZxYz/ZC/vT+nMoPaG/7aq83ex4ceHevLVvjje+vs8peX6syDropNYF53Ex1PD8bC30JYGr7To97Ms+v0sD/cPYFYfP70mYi1NRn4pd3yyl5Qq25Pnjwwm0rcVw97bpXd8uI8D4dU6yVbugnGqI6diZEcPnl53AoAtZ9OJyyyijbM1790VxpiP9mhby1e1LjqJlLwSPpwSXmNlTBO5jH5BLvQLcqFIWcH+y1nsvHiV/VeyuHK1kMxCJZmFhvN+6kNhKsffxYbO3g508dVssfV1sqozx+J0ch5f7Ill47HkOl/D3c6Cl0e3Z9S1yrM/HU7kufW6FU1HhLqz7M5ORk8qrWrt/jjtzNVLI9sztIN7Hd8hCBoNGnz4+fnh7u7Oli1btDkfZWVl7Ny5k2XLljXkSwn/UT5OVqx/pBePfnOUQ3HZzF57hHmDg5hTpeR2bUzkMmb18WNQsGYWpPKTeHVzvtPUKNjwaC+KlBVM/0J3a+7KnZdZufMy48Nb81hUYL1mYJqbk0m5TFyxTyd58q4uXjzYL4DdMVe5kK7f1v3+3n56j1UGH3UldFqamzB3UFs+vJZg+d7Wi3wwJRx/FxveuSusxtoWey9lMez9Xbw3ubNeAbPqrBWmDA5xY3CIJiAtKVNxIb2AC2n5pOUpySgoJT1fqe3holZLVKglrBWaHi72lubYW5rh6WCBn7M1/i42eNhZ1NoksKpCZQV/n07jiz2xNZb9r8rcVM6rYztwZ6QXpiZyLmUUMOe7Y5xP0/3df35vF+05NRc/Hbm+hPT4wEBm9/U38oiEluSGE04LCwu5dOkSAOHh4bz77rtERUXh6OiIj48Py5YtY+nSpaxevZq2bduyZMkSduzYIbbaCg2qrELNa3+c1dYCGRHqztuTwm4ou16tlq59crtASXnNtRkAdj47gNS8UqZU65tRyc1OwYsj2jOsg7veVsrmRq2WWLM/jkW/63aYHRvmyYd3h5NXUq63tRY0fUd2PheltwTyzYF4Xv7ltE659ZpUTzzd/ERf2nto/jv/ZPslnfbvhozr7Mn8ke1xq0e+T1OpUKnZfSmTjUeT9RJCa/PyqPZM6+GLhZkJpeUqPtl+iY/+vaRzzKiOHrx+R+hN7dRpTL+fSOGJH46hlmBWHz9eHtXe6LttBONr1N0uO3bsICoqSu/xGTNm8NVXX2mLjK1atUqnyFhoaGiDD14QfjiUwCu/nqZcJdHOzZZP742sd1fTSvFZRSz47UyNhckqBbhY8+NDPYnPKtar9lnVxAgvpnb3IcLHodm9IV9IK+CVX09zKFZ3xmdOVCDPDGtHhUqtt7ul0rt3hTEhQr9y5kfbYnhny0W92h81+d+vp1m7XxM09g504ptZ3ZHJZEiSxOI/z2lLsddmVh8/Huznb7QgpLRcxYErWWw/n8Ga/YaT6Wvy5OC2zOrjh62FGSq1xMZjyTxzbTmqkpW5CZ/f24VeRmoIV5utZ9N5+JtoKtQSd3fzYcn40Gb3dy4YhyivLvynRMfn8Mg30WQUKLG3NOOju8P1en7Ux/bzGbz251muXC2q9bg2TlZ890APTOQyZq85wqnkvBqPfbh/AENCXOns3cqoxZYSs4tZsfMy3x1M0HuuckpfkiQGv7uTywbOP8zLno2P9ja4/LDg19Os2R/PIwMCeH54cJ1jySkqI/y1Ldqvq5YDlySJt/+5UK/kTICRHd2ZFOlN37bON9Qk8EZJkkRsZhE7L15lx4Wr2joj9eViq+Chfv5M7uqNrYUZkiSx48JVnv35pF4+ysuj2jOjVxuDSbbGticmk/u/OkyZSs348Na8Myms3ktSwu1PBB/Cf056fikPfR3N8cRc5DJ4YUQwD/S98cJLZRVq1u6P44NtMRRUa0xWnUwGv8/pQ7C7LWv2x/PaH2drPX5smCfDOrjTO9AJB6vGn0avUKnZfyWLHw4n8ue1lvPVVRYFU6slxq/YZ3DXCcD6R3oS6Wu4nsTsNUfYei6d1+4IZXoP33qNrXoH1uqVUb85EM/C387oNXGria3C9FrSqTOdvVsR4GJ908GIWi2RUaDkdHIeJ5NyOZ6Up7P9+kZ09nbggb7+DOvgph3P8cRcFvx6Wq/H0KhOHiwYc+uF7RrL4bhs7v3iECXlKoZ1cOOTqRGNGvAJLY8IPoT/JGWFild+Oc1PRzRVM8d19uSNCZ1uKgcjq1DJO1su8sOhhBpLtFf12b1dGNzelfisYp79ufb+HJUmRnjRpU0rInxa4e9i3SCfdLOLyjhwJYu9lzL51sAsR6WlEzpydzdNsy9lhYpeS//VaQ1f1d3dfFg6oWONP2vEB7s5l5pvsC9LTVRqiZEf7NYmtXbw1FTErLqF+XBcNk/+cPymKsKamcho72FHawdL3O0tcLezwMbCFDMTTQdbmUxTn6SwtIICZQW5xWUk5ZQQn1VkcObnRo3s6M6sPn46AduljAKWbDrPv+czdI71amXJB1M61xjcNQcnk3KZ+tlBCpUV9A9y4dN7I43aMVdonkTwIfxnSZLENwfiWfT7WSrUEsHutnx4dzhBbnUnOxtyNiWfxZvOsvdSVt0Ho2lz/vKo9jjZKDiXms+LG05xvIbZBEP6BbkQ5GqDVytLWlmb42BljoOl2bVEWgm1BJKkqSqaWVhGVpGSpJwSYtILOJqQq9P8zZAH+vrx7LBgbeny+Kwi+r+1o8bj/Zyt+ePxPrUm8nZa+Df5pRX881S/G/o9x6QXMKTKdt4hIW6suEf303RBaTlLNp3n+0M1B1LNRWdvByZGtGZ0J0+dBNHDcdl8uC1Gr+GgmYmMpRM6MT68dbPuf3I+LZ8pnx4gt7icHv6OfDWzW71bHAj/LSL4EP7zDl7J4rHvjpJZWIbCVM5Lo9ozvYfvTSfG1XQDqc17k8MY3ckTMxM5cZlFfPhvDBuO1l3zoTG8ObET4yNaa2dXVGqJD7Ze5MNquyuqsjY34ZfHetO2loCiamn1M4uG3XAvj3VHEnn25+v1LEZ38uD9yZ31pvNPJ+ex+M9zeo0Aja21gyXjw1szPqI1AVUqm6rVElvPpfPhvzEGK6oum9iRCRFezTKvo6orVwu5a9V+MgvLCPdx4OtZ3bER/VqEGojgQxCAjIJSnl13UpscODDYlTfv7FRrNcq6RMfn8MG2mBvKAXC0NmfxHaEMbO+KwtQEtVriRFIuX++PZ0M9ClDdrGeHtePubj46jd4kSWLbuQxmrz1S6/eaymV8NqMLUe1qX0Y5nZzH6I/20MrKjGP/G3pT41y66Ryrdl3Rft0/yIWPpobrFdOSJImjCTl8tiuWv8+m1dlJtrF083Mkqp0rA4NdCXKz0QloC5UV/H4ihSV/nqNAqZ8z9NodoUzu4m2waV5zk5hdzF2r9pOaV0qIhx3fP9Cj0ToFC7cHEXwIwjWSJPHVPk0Tr7IKNc425rw1KazOm2pdjiXk8OG2GLbXsT3XkJdHtWdChJdOUKCsUHExrZD9VzLZdzmLE4m55BTXr6mZg5UZvQOcGRziSu8AZ4M9b5QVKn6OTuKljafr/HmmchkfTAlnVCePOo/9OTqJZ9adoIe/Iz882LNe461OrZZ46ZdTfH8oUftYgIs1H90dQYin4feAtLxS/jiZwu8nU2tMkm0IJnIZIR52hPs40LWNI/3auujdgCVJIjo+h5+OJGrzjaoylct4aVR77u7m02KWK9LySrlr1X4SsosJdLXhxwd71FhhVhAqieBDEKo5n5bPE98f1yY43terDS+MCL7lm8G51HzW7o/nl2PJdRYqM8TByozHBgQyOMSNNvUo2X0jipQV7I65qtP9tSZyGaglsDCTs+KeyHonjr7+x1k+3xPLfb3asHBsh5seq1ot8eofZ/lqX5zO488Oa8fsvn61JjfmFJVxMDaLA1eyOZ+WT0x6YY3Js7VxtVXQxtmaNk5WBLraEO7TilBP+xoTljPyS9lwLJkv98SSUaBfvj3Y3ZbHB7bV2enSEmQWKpm8aj+Xrxbh42jFTw/1xN2+ee7AEZoXEXwIggGl5Sre2Hxee4Nr52bLB3d3bpDusnkl5Ww4msTXB+LrrBNSF1sLU0aGetCnrTM+jlY42ZjjZK0weBNUqyUKyyrIKSojPquYYwm5/H4yhUsZ+i3lDbGzMCX/2pZiH0crVkyLoINn/RuDTf/iILtjMnljQkemXNs9c7MkSeLLvXF6W5bbOFkxb2g7RnX0qHdiZnZRGRkFpWQVlpFZqKRIqULSJuxKWJubYm9phoOV2bVy6pb1yleJzSzinzNp/HkqlZNJhuu7TAhvzczefnT0ankN1tLzS5n+xUEuphfiYW/BTw/11NkCLQi1EcGHINRi+4UMnl2nKe5kbirnqcFBzO7r1yDJf5IksfdSFt8ejGfb+QzKKvSb1zUHDlZmlJSpUF4b34SI1iwY3eGG1vQlSaLr4q1kFpbxy2O96ezt0CBji47PZu73+lts/Z2tmdbDl/HhrZus3HhxWQVH43PZdzmT306kkJRjeAbJw96CaT18uauLd4ttNpiQVcy0Lw6SkF2Mq62CHx7sgb9Ly+tZJBiPCD4EoQ6ZhUqe//kk267VXAh2t2XJhI5EVOvYeisKSsvZcjad30+ksDsms94FsxqTu50F2cVl2qCorasNL48Oof9NVISNzSwi6u0dmJvIOblwaIPmMxSXVfDB1hidRNSqBga7EhXsyoAgF7xaWTbIcpVaLZGcW8LZ1HyOxGVzKC6nznyS2X38uCO8NR087Vp0ifELaQVM/+IgGQVKfByt+HZ2dzHjIdwwEXwIQj1IksT6o8ks/vMsOcXlyGRwT3cfnhse3OBty3OKyvj7TBp/n0njwJXsm8oPuVmO1uao1BJ5JdcTWIPcbHigrz8TIrxuusbE94cSeHHDKbr5OfLTQzeXbFqX+KwiPthW+xZlJ2tzOnrZE+xuh1crS7xaWeJiq8Da3BRrhSkKMzkVKomyCjVlFWryS8vJKCglI19JRoGShOxiLqYX1LiMUpWthSljwjwZGepBzwCnZl2fo76OJuQwc/Vh8krKCXa3Ze393QwmLQtCXUTwIQg3ILuojCWbzvFztGangoutgoVjOjCyo3ujfJpVVqg4Gp/LnktX2R2TyankvAbbNmpmIkOlljCRyyhX6f5Qa3MThoS4cWekN70DnW753OZ8d5Q/TqYyd2Ag84a2u6WfVZfk3BK+P5jAT0cSDSZ3NqbegU4MCHJlQDsXAl1tWvQMR3V7YjJ58OsjFJepCPdxYPV9XZuk9L9wexLBhyDchP2Xs3hp4ymuZGoSRqPaufDquNBGn37OLy3nTHI+p5PzOHXtX1xW0S0HJCZyGcHutvTwd6KnvxN92jo32NKIskJF5GtbKVRWsOHRXg26XFUbtVriWGIOf51OY/+VLIMFvG6Fh70Fkb6t6OztQLiPAx087VvM9tgb9dfpVOZ+f5wylZq+bZ1ZNT1Sp7y9INwoEXwIwk1SVqhYseMyy7dfpkylxsJMzqMDApnd169J35iVFSqSc0pIzCkhMbuYlNwS8kvLKSitoKC0guKyCkzkMkzkckxkYGdphrONAicbc1o7WBLkZou/i3Wj9d/Ydi6dWWuO4G5nwb4XBhqts2mhsoKTiblcvlrI5atFxGcVkV1URm5JOTlFZZSrJMpVakxNZJiZyHGwMqOVlTn2135fvk5W+Dlb4+tkjZ+T9X+miNZPRxJ5Yf1J1BKMCHXn/SmdRa8W4ZaJ4EMQbtHlq4W8tPEUB65kA5oaEE8ODuKuLl4tqmZDY3n462j+OpN2y/U9hKb3+e4rvP7nOQDu6uLFkvEdxd+00CBu5P4t/uIEwYAAFxu+f6AHH90djrejJRkFSuZvPMWw93fxz5k0mlnM3qSSc0v452waAFO731ptD6HpSJLEO/9c0AYeD/T1Y9nETiLwEIxC/NUJQg1kMhljwjzZNm8AC8aE0MrKjMtXi3jw62juWrWfowk5xh6iUazeE4tagp7+TjfdLVhoWmq1xMLfzvDRtUaCzw5rx/yR7W+r5FmhZRHBhyDUwdxUzszefux8LopHBwSgMJVzOC6HCcv38eDaI43aW6S5ScwuZu3+eAAe7O9v5NEI9VFWoWbeT8dZsz8emUzT3O6xqEAReAhGJXI+BOEGpeaV8N6Wi6yLTtLuSOkd6MQj/QMbZAtrcyVJEo9+e5TNp9PoE+jM17O63bbnervIKlTyyDdHORSXjalcxjt3hTGuc2tjD0u4TYmEU0FoAjHpBazYeZnfjqdoq5d28rLn0QEBDA1xN9oOkMby05FEnvv5JCZyGb/N6X1DPWCEpnchrYBZaw6TlFOCrcKUj6aGM+AWuzkLQm1E8CEITSgpp5jPd8fyw+EESss1Zcv9XayZ2asN48JbN3i1VGM4m5LPxBX7KClX8eywdjwWFWjsIQm12Ho2nSd+OEZRmQpfJyu+mNGFQFeRnyM0LhF8CIIRZBUq+WpfHGv2xWk7xVqamTA2zJOp3X3o5GXfIpcpLqYXMOXTA2QXldEn0Jm193e77WZ1bheSJLFq1xWW/XUe6VpS8PJ7IpqsEZ/w3yaCD0EwooLSctYdSeK7Qwk6re1DPOyY2t2HMWGe2Fu2jNmQ08l53Lf6EJmFZXRsbc83s7u3mLH/15SWq5i/8ZS2D8493X1YOLZDg3RrFoT6EMGHIDQDkiRxJD6H7w4m8OepVG0nWTMTGf3aujCqkweDQ9ya5bKMJEl8ezCB1/44i7JCTYiHHd890F30/WimMgpKefjraI4m5GIil7FgTAjTe/i2yJk2oeUSwYcgNDM5RWWsP5rEuiNJXEgv0D5ubiKnX5ALI0Ld6RvkjKut8buJnknJ49Xfz3IwVlPdNaqdC+9PCRczHs3U6eQ8Hlx7hJS8UuwsTFl+TyR92jobe1jCf5AIPgShGYtJL+DPU6n8cTJVZ1kGINjdln5BLvRt60zXNo5N1tRMrZY4EJvFl3vi2HouHQCFqZznhwdzX682Isejmdp8KpV5P52gpFyFv7M1n8/ogr+LjbGHJfxHieBDEFqIi+kF/HEyle3nMziVnKfznKlcRnsPO8K87ens3YowL3v8nK0brBx2abmK44m5/Hs+g79Op5GQXQyATAajO3ny/PB2eLVq3I6+ws1RqSU+2HqRD69VLO3b1pmP7474zzTGE5onEXwIQguUVahk7+Usdl+8yu6YTNLyS/WOMZXL8HGywt/ZhgAXa9ztLXCxVeBio8DR2hwLMxMUZnLMTeSUqyTKVGpKy1VkFZaRWagkOaeEy1cLOZ9WwJmUPMpV1//zt1GYMibMk1l9/Ah0FZ+em6u0vFLm/nCMQ9eWxe7r1YaXR7UXPVoEoxPBhyC0cJIkkZRTwomkXE4k5nIiMY9TyXmUlKsa9HWcbczp29aFQe1dGRjsipW5aYP+fKFh/Xs+nad/OkFOcTlW5iYsHh/K+HAvYw9LEIAbu3+LdxpBaIZkMhnejlZ4O1oxupMnoMnLSM0v5crVQq5cLSI2s4irBUrNv0IlOcVlKMvVlFaotGXfzU3kKMzkOFmb42yjwN3eggAXGwJcbejs5YC3o6XYEdEClFWoefOv83y+JxaADp52fHR3uMjvEFosEXwIQgshl8to7WBJawdL+rZ1qfE4SZKoUEuYymUisLgNJGQV8/j3RzmRpMkJuq9XG14cGYzCtGmSkQWhMYjgQxBuMzKZDDMTEXTcDn4/kcL8DacoUFZgb2nGm3d2YlgHd2MPSxBumQg+BEEQmpmSMhWv/nGG7w8lAtDFtxUf3B1OawdLI49MEBqGCD4EQRCakTMpecz78QQX0guQyeDRAQE8NThI7GYRbisi+BAEQWgGlBUqPv73Eit2XKZCLeFso+D9yZ1FtVLhtiSCD0EQBCM7lpDDcz+fJOZaxduRHd1ZNDYUF1uFkUcmCI1DBB+CIAhGUlqu4t0tF/l89xXUkqbuyqvjQhnZ0cPYQxOERiWCD0EQBCM4FJvN8+tPEptZBMD48Nb8b3QIraxF52Dh9ieCD0EQhCZUpKzgrb8vsGZ/HJIEbnYKlozvyKD2bsYemiA0GRF8CIIgNAFJkth8Oo3Ff54jObcEgCldvXlxZHvsLUVDOOG/RQQfgiAIjex8Wj6LfjvL/itZALR2sOSNiR1rrVQrCLczEXwIgiA0ktziMt7bcpGvD8SjlkBhKueh/gE80j8AS3NRHl347xLBhyAIQgNTqSW+O5TAu/9cIKe4HIARoe7MH9keb0crI49OEIxPBB+CIAgNaP/lLF794yznUvMBCHKzYeGYDvQKFMXCBKGSCD4EQRAawPHEXN755wK7YzIBsLMw5emh7binu48ojS4I1YjgQxAE4RacS83n3S0X2XI2HQBTuYy7u/nw1JAgHEXNDkEwSAQfgiAIN+HK1ULe2xrDHydTkCSQy2B8uBdPDm4r8joEoQ4i+BAEQbgBlzIKWbXzMhuOJaNSSwCM6uTBU4PbEuhqa+TRCULLIIIPQRCEeoiOz2blziva5RWAQcGuzBsaRAdPeyOOTBBaHhF8CIIg1ECtlth2PoNVOy9zJD4HAJkMhrR34+EBAUT4tDLyCAWhZRLBhyAIQjUFpeVsPJbMmn1xXL6qafxmbiJnQkRrZvf1J9DVxsgjFISWTQQfgiAI15xJyeObAwn8ejyZ4jIVALYKU+7p4cv9vdvgamdh5BEKwu1BBB+CIPynFSkr+Ot0Gt8ejOdoQq728QAXa6b38GVipBe2FqLxmyA0JBF8CILwn6NSS+y/nMWGo0n8dSZNO8thKpcxLNSdad196eHviEwmM/JIBeH2JIIPQRD+EyRJ4kRSHptPpfLL8WTS85Xa53ydrLgzwovJ3bxxtRVLK4LQ2ETwIQjCbUulljiakMPmU2n8dTqVlLxS7XP2lmaM7uTBhAgvInwcxCyHIDQhEXwIgnBbyS0uY+fFq+y4cJWdF6+SXVSmfc7K3ISBwa6M7uRBVLArClPR1l4QjEEEH4IgtGglZSqi43PYdzmTfZezOJmUy7XCowDYWpgypL0bw0Pd6RfkgoWZCDgEwdgaLfhYvnw5b731FqmpqXTo0IH333+fvn37NtbLCYLwHyBJEkk5JRxLzOVofA7HEnM5m5JHuUrSOa6dmy0Dgl2Iaud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\n" 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", 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\n" + "text/plain": [ + "
    " + ] }, - "metadata": {} + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -506,18 +516,78 @@ "scipy.io.savemat(\"Lorenz63_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"sigma\": 10., \"rho\": 28., \"beta\": 2.7},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"sigma\": 10.0535, \"rho\": 28.0544, \"beta\": 2.6995},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(0.0505, grad_fn=)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] } ], "metadata": { + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + }, "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -530,9 +600,6 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" } }, "nbformat": 4, From 8371a8ad41d9c285a1bdd57eb8ba44c28f474cb7 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Fri, 17 Dec 2021 15:47:00 +0000 Subject: [PATCH 50/73] Add pre-commit fixes --- examples/ode/DuffingEquation/DuffingTest_DNN.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb index 44559572..3a821964 100644 --- a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb @@ -729,4 +729,4 @@ ] } ] -} \ No newline at end of file +} From 01471ce184841901a54f8e4c3956bc6eb3cf8c14 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 17 Dec 2021 21:56:25 -0500 Subject: [PATCH 51/73] Modified ode.py to use pytorch_lightning.Trainer Currently facing an error RuntimeError: Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time. --- .../Cos_wt_fitRandomSample.ipynb | 709 --------------- .../Cos_wt_sin_dataset_fitRandomSample.ipynb | 700 --------------- .../ode/DuffingEquation/DuffingTest_DNN.ipynb | 732 ---------------- .../ode/DuffingEquation/DuffingTest_fit.ipynb | 720 ---------------- .../DuffingTest_fitRandomSample.ipynb | 401 --------- .../DuffingTest_fitRandomSample_with_w.ipynb | 400 --------- ...ffingTest_fitRandomSample_with_w_RK4.ipynb | 467 ---------- .../DuffingTest_fit_with_w.ipynb | 714 --------------- examples/ode/DuffingEquation/Duffing_fit.mat | Bin 120184 -> 0 bytes .../Duffing_fitRandomSample.mat | Bin 120184 -> 0 bytes .../a_Cos_wt_fitRandomSample.ipynb | 813 ----------------- ...a_Cos_wt_sin_dataset_fitRandomSample.ipynb | 778 ----------------- examples/ode/README.md | 4 +- ...tRandomSample_RK4.ipynb => SEIRTest.ipynb} | 247 +++--- examples/ode/SEIR/SEIRTest_fit.ipynb | 802 ----------------- .../ode/SEIR/SEIRTest_fitRandomSample.ipynb | 441 ---------- examples/ode/SEIR/SEIR_fit.mat | Bin 160184 -> 0 bytes examples/ode/SEIR/SEIR_fitRandomSample.mat | Bin 160184 -> 0 bytes .../ode/SEIR/SEIR_fitRandomSample_RK4.mat | Bin 160184 -> 0 bytes examples/ode/lorenz63/Lorenz63Test.ipynb | 454 ++++++++++ examples/ode/lorenz63/Lorenz63Train_fit.ipynb | 814 ------------------ .../Lorenz63Train_fitRandomSample.ipynb | 411 --------- .../Lorenz63Train_fitRandomSample_RK4.ipynb | 607 ------------- ...nz63_Euler_Train_fitRandomSample_RK4.ipynb | 704 --------------- examples/ode/lorenz63/Lorenz63_fit.mat | Bin 120184 -> 0 bytes .../ode/lorenz63/Lorenz63_fitRandomSample.mat | Bin 120184 -> 0 bytes .../lorenz63/Lorenz63_fitRandomSample_RK4.mat | Bin 120184 -> 0 bytes torchts/nn/models/ode.py | 136 +-- torchts/utils/data.py | 9 + 29 files changed, 607 insertions(+), 10456 deletions(-) delete mode 100644 examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb delete mode 100644 examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb delete mode 100644 examples/ode/DuffingEquation/DuffingTest_DNN.ipynb delete mode 100644 examples/ode/DuffingEquation/DuffingTest_fit.ipynb delete mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb delete mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb delete mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb delete mode 100644 examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb delete mode 100644 examples/ode/DuffingEquation/Duffing_fit.mat delete mode 100644 examples/ode/DuffingEquation/Duffing_fitRandomSample.mat delete mode 100644 examples/ode/DuffingEquation/a_Cos_wt_fitRandomSample.ipynb delete mode 100644 examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb rename examples/ode/SEIR/{SEIRTest_fitRandomSample_RK4.ipynb => SEIRTest.ipynb} (68%) delete mode 100644 examples/ode/SEIR/SEIRTest_fit.ipynb delete mode 100644 examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb delete mode 100644 examples/ode/SEIR/SEIR_fit.mat delete mode 100644 examples/ode/SEIR/SEIR_fitRandomSample.mat delete mode 100644 examples/ode/SEIR/SEIR_fitRandomSample_RK4.mat create mode 100644 examples/ode/lorenz63/Lorenz63Test.ipynb delete mode 100644 examples/ode/lorenz63/Lorenz63Train_fit.ipynb delete mode 100644 examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb delete mode 100644 examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb delete mode 100644 examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb delete mode 100644 examples/ode/lorenz63/Lorenz63_fit.mat delete mode 100644 examples/ode/lorenz63/Lorenz63_fitRandomSample.mat delete mode 100644 examples/ode/lorenz63/Lorenz63_fitRandomSample_RK4.mat diff --git a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb deleted file mode 100644 index 0c4f4c32..00000000 --- a/examples/ode/DuffingEquation/Cos_wt_fitRandomSample.ipynb +++ /dev/null @@ -1,709 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"w\": 5.}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000, 0.0000],\n", - " [ 0.0100, 0.0100],\n", - " [ 0.0200, 0.0200],\n", - " ...,\n", - " [-0.0806, 9.9701],\n", - " [-0.0713, 9.9801],\n", - " [-0.0619, 9.9901]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - 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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,1], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(2.4146e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(0.5564, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(2.7086e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(0.2693, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(1.7028e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(1.4094, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.5383e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(2.2638, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(7.2113e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(0.5720, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(1.9744e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-2.6869, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(1.6727e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.4457, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(1.4529e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.7190, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.0907e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-5.0503, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(4.2784e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-5.0409, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(5.4715e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.8267, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(1.2727e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.9724, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(1.8102e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-5.1520, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(4.1873e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.1311, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(5.1780e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-3.2711, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(7.5392e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-6.1800, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-8.5473, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(3.2150e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-8.8546, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(1.3441e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-8.1203, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(3.3458e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-6.4708, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(4.0574e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-6.2895, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(3.1946e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-6.7088, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(3.2806e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-6.8905, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(9.1959e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-7.4480, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(9.4406e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-8.0897, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(8.6219e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-8.7295, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(7.9796e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-9.0427, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(3.6575e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-8.8274, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(2.0644e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-9.0285, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(1.6546e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-9.2313, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(9.5939e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-9.3593, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(8.6223e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.0947, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.4871, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(4.8011e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.4140, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(6.1366e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.6405, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(6.7959e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-11.0156, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(5.0571e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.9378, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(6.7418e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.7958, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.4174, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(1.7927e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.1750, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(4.7017e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.2568, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(2.1444e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.2641, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(7.2486e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.3886, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(2.4303e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.7213, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(1.3222e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-11.0495, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(1.6743e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-11.0677, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(1.1128e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.8657, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(1.3999e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-10.7853, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(4.5793e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-11.0173, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(5.3178e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-11.3179, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'w': Parameter containing:\n", - " tensor(-11.3179, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 20 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt=1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00],\n", - " [ 1.0000e-02, 1.0000e-02],\n", - " [ 1.9936e-02, 2.0000e-02],\n", - " ...,\n", - " [-2.2203e-02, 9.9701e+00],\n", - " [-1.2530e-02, 9.9801e+00],\n", - " [-2.6317e-03, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 21 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Runge-Kutta for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(6.2781e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-1.2795, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.2331, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(7.5939e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-5.7381, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(4.7552e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-4.1620, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0002, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-3.3590, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(4.9796e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(-1.9073, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(5.0881e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(0.8073, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.3890e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(3.7548, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(4.4404e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.1038, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(4.1403e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.4751, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(3.3606e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9211, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(1.6331e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0230, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.1287e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0357, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.1847e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9797, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(8.3503e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9811, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(4.8015e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9931, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(1.9135e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0067, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(5.4234e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9782, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(6.8002e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9436, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(1.5634e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0047, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(4.0029e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9857, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(7.2332e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0123, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(7.6391e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9982, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(1.7542e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9996, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(6.8283e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0003, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(8.5802e-12, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0001, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(3.5191e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9999, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(9.9920e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(1.0946e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9999, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(1.1227e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0001, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(1.2711e-12, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(2.6656e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(3.6071e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(4.8961e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(1.2834e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(4.2677e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(0., grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(3.9968e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(5.4401e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(5.4401e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(4.4409e-16, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(4.4409e-16, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(4.4409e-16, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(4.4409e-16, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(4.4409e-16, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(0., grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5., requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(0., grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5., requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(0., grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5., requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(0., grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5., requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(0., grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5., requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'w': Parameter containing:\n", - " tensor(5., requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 25 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000, 0.0000],\n", - " [ 0.0100, 0.0100],\n", - " [ 0.0200, 0.0200],\n", - " ...,\n", - " [-0.0806, 9.9701],\n", - " [-0.0713, 9.9801],\n", - " [-0.0619, 9.9901]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 26 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb deleted file mode 100644 index a3cb7a72..00000000 --- a/examples/ode/DuffingEquation/Cos_wt_sin_dataset_fitRandomSample.ipynb +++ /dev/null @@ -1,700 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# x'(t) = cos(5t)\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"w\": 5.}\n" - ] - }, - { - "source": [ - "# Dataset: x(t) = 0.2 sin(5t)" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "result = torch.cat((0.2*torch.sin(5*torch.arange(0,10,dt).view(1000,1)), torch.arange(0,10,dt).t().view(1000,1)), dim=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000, 0.0000],\n", - " [ 0.0100, 0.0100],\n", - " [ 0.0200, 0.0200],\n", - " ...,\n", - " [-0.0807, 9.9700],\n", - " [-0.0715, 9.9800],\n", - " [-0.0621, 9.9900]])" - ] - }, - "metadata": {}, - "execution_count": 22 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,1], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.0746, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.6998e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(2.7705, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(4.8719e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(3.9035, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(6.1404e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.8478, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.2617e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0906, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(1.4774e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(2.8040, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(6.7173e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(2.9461, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(2.2041e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.6637, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.8713e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(6.2272, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(3.9529, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(9.9100e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.6195, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(9.5652e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0657, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(1.0789e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.1469, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.3551e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0046, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(1.2483e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0141, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(9.7401e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.8922, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(1.0933e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.1778, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(5.0590e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.8981, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(6.6089e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0579, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(1.2787e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9825, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(2.4039e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0293, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(1.7594e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9790, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(1.7752e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0099, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(7.3834e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0016, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(8.8376e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0044, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(4.2443e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0026, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(2.5877e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0041, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(2.5798e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0035, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(1.3090e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0038, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(2.6411e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0032, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(1.3716e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0032, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(1.5587e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0038, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(4.8162e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0048, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(6.5313e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0037, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(1.6680e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0031, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(5.4401e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0014, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(4.3130e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0047, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(7.3329e-12, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0017, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(6.7459e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0033, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(1.3768e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0029, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(2.0917e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0036, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(1.9102e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0044, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(2.6673e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0019, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(2.4844e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0040, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(9.4255e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0036, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(1.7675e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0015, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(1.2478e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0055, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(1.8300e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0017, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(2.1651e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0008, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(1.0269e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0055, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'w': Parameter containing:\n", - " tensor(5.0055, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 26 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt=1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000, 0.0000],\n", - " [ 0.0100, 0.0100],\n", - " [ 0.0200, 0.0200],\n", - " ...,\n", - " [-0.0700, 9.9701],\n", - " [-0.0607, 9.9801],\n", - " [-0.0512, 9.9901]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 27 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Runge-Kutta for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(6.4903e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.2780, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(3.5491e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(2.2486, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.1207e-05, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(2.6527, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(2.7050e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.6368, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(2.4687e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.5153, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(9.7100e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.5416, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(1.7244e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0945, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0001, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.7973, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(2.5060e-06, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9608, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(5.4163e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9939, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(2.8473e-07, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0115, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(1.3045e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0041, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(5.6551e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9992, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.7476e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(6.9568e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0006, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(5.0735e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9995, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(1.3925e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0006, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(8.8450e-09, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9919, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(1.6190e-08, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9982, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(4.9945e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0004, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(1.4479e-10, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(4.9999, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(1.6628e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(2.2382e-11, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0001, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(5.3735e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(1.0881e-12, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(2.5580e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(5.4812e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(3.2085e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(8.4122e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(2.7203e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(1.9121e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(8.4122e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(4.6185e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(3.9968e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(7.1054e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(1.6032e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(4.5475e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(2.7756e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(8.7041e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(5.3735e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(3.0226e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(1.0020e-12, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(1.3927e-12, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(2.7756e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(6.8967e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(9.9876e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(4.7973e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(7.1054e-15, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(5.8731e-14, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(7.2131e-13, grad_fn=)\n", - "{'w': Parameter containing:\n", - "tensor(5.0000, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'w': Parameter containing:\n", - " tensor(5.0000, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 31 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000, 0.0000],\n", - " [ 0.0100, 0.0100],\n", - " [ 0.0200, 0.0200],\n", - " ...,\n", - " [-0.0806, 9.9701],\n", - " [-0.0714, 9.9801],\n", - " [-0.0619, 9.9901]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 32 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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eYl6wF8GA5WysOqepPnBSGyMNHCanH3UNah2l2ndoHGfDB3J6uD+F3uToaUbAnVut5fTg2HI6qz6KSCiAbM7Wut8PixaPv5/qqzNEwBg4isC83lENnOk1APKbqq4k3M6+FAZSWVgWMHdazYi/s/d0XpAszTg87M/QUhijzhEcZmSPFoWbPTWGgAWkMjkc7NOXS+WkUkdRHHMLRpzOc8jkdHZDbER0Ayg2VHXF/nGcqUDAwtypNUXX6QjWcmPe9JFrke2nn3QPae1s8IYxcBRhPK+Rbap9yQy6NS0V33fY5W6wjpteuAaOvpvqR+NE4YB8ZAcAPtZ4jEyxHzF1pJEaDgYwO6634ugeSDncjdHm0Sunujob+w/n53C0vQZw5VRnDs7H3fnIzGhyCgBzp+ufTt03ToqquSGGYMBCKqu3s8EbxsBRgISHEDecuwHkO4yy5lS6Lkh3Ux1jw2GescbKnx1uN2eMTfWIqfp7/+MZOIA7v7rLaeOUKGojoRF/Z+PuS2aQGNTT2WBpmbHmkL2vt5wW0sVjyek0ZojrOcb+ZAaHCgcwj2aohoIBzC60F9E5Ks4bxsBRAKYMGqdEURMZGd0A9F+QnyTyzz2m8i+M71B/SttDN9sLioM1vBsO3SM4yUwWBwv9X44YJc0IePlieo6RyekRU0efw1g4iMZCk0pdo43thTE2x0cfI1ujusopkE/NAOPIqeYRHGakTomGino1ecGMO13lVASMgaMArkc1+oYDuAtSV2u8rbDhzImPvuHEa8JoiOU9Zl031raC4pg9huLQ3TNmBlwsHMC02tE3Vf3llM3h6HIK6M8XY/vNWHI61+NsDKay0p6LF3I521mLYzlUuvOMJtprADcqrusYRcAYOApwoCe/4cwaw/MHXG+rvUdP1j/bVMfyGgHgCI0XpG3bE46RGTjtPXqWpzLDc87UGueQzeFw5VTPvH9bYX3NHsfZ0J0vxvaQ5nGcjbpCJFlHY/xgXxLprI1gwEJTfXTUaxw51bSKyjFSxzDgAP0NcREwBo4CMANnrNSG928HtDVwmHIce4xzNDbiepMZDBS83bG8/1n1UYSDFrI5Gwc0bPU/Ef8GcOWUpUF0A4s0jucZs6iA9spxjDFalqU10ZjJaXNDDKHg6CqNGTgHevSsMnLkdBydwfZaXeVUBIyBowBMAJsaRvc2AK/i0FNYXX7K2MpxlsZjZM88tTY8Jo8qELDQpLEB8MkElSmAqzR1nEPAG/ofR04LUQEdDfFUJofOQlXNeNFUNv42LeV0YmdqVn0UlgVkcrZD1tUJ7T0FOR1vjGyv0TSaKgLGwFEA5s03lZKi0lBxDKWzziYynmfMjLiOXv3G+InHaxwPTDl2aLjpHOhlhvjYY2wqzG/PUEZL/sZE0Q3AXYtazmHPEGwbiAQDmF4bGfM6JqcHNYw0svPsxpPTcDDgkMV1jIozOR2L0wh49lMNxycKxsBRgAOJiRWHs6n2JrULqbINJBYOYOoY5FTAjWDpaMS1l6AYAWBWvTuPuoEpu5lj8BoAoD4aQm0hgqVbhCOXsx1ZHY/b4EThNBsf4OXfxBAIjM6jAoBZhbXoVzkF9I6KsxTVeFE4JqeH+lNIZvRzNkTAGDgKwDzj8YR15pQoAoWQame/XptOm6d8eixyKuAuSB1PFHcJxmMrRsBVHDp6xkzZzRpHcViW5SgO3dIbh/pTSGdtWNb4Y/Ty4XRr9lcK2R/wGOIarkUWAWZjGAtsv2nT2FAdz6GaVhtGpMBB0nG/EQFj4EjGUDrrdCduGmdBhoIBxyM5kNBLWNniGq9KDPAaOBpuOCVHcJhnrN8YO0v1jON6ziOT0xl1EYTHIKcC7viTmZx2zf7aSygvBtwx6iinJUdw4mw/1WuMyUzWkbvxjDjLshyHSre1KArGwJEM5iHFwgE01IzsnOqFrp6xs+FMGX/DYSmqQ/0ppDJ6lVG39ZTpGWvmUdm2XbKh6ob+9Roja2nfOIGcxsJBpw+QbtHG0iM4hUijhm3+D5YQaQRcIrVuqcbOvjyfMRIsXWfoJqeiYAwcyWCLq2mC9A0AzCwoRybguoBVbUzkUU2viyAczP8Gum2sTnfYCZT/TE1Jxt0DaaQKvXsap4xNTgWAmZqm4UqNUAH68nBKaUkBFKeodEvDlRrBmakpkZrJaeOUyIQ6o0ljnpEIGANHMrwGzkSYWZ9XLJ2aKf/OPndBjgfLspyNVbeQKjM6Z41T6g94Q/96zSEzOKfWhkc9LNULFqnTTU5LjeAAbhRLOzntzcvpRMqfyXEyk3POydMB6WzOqdicKIKjrZwyA6cMQ/yAhqlGETAGjmR0lOhRAcCMukIKR9MFWYpnzBbtIY2iVJlsDl0D+edlczQWmOI43J9EVqNqOBZxmkhpAMCMgiF7SDMyvNczngjsGp3kFPA6GxOn4eoLR6cc1Eg5svGFAhamjVMGD7hyqpuBU+ocAkBjvZ5yKgrGwJGMA04EpwRhdRakXsLKnrekBVnHFqQ+m87hgRRsG7CsfJptPMyoy1fD5Wy9xniwLy+nJRmpzDPu1U1OyzDEp+jpbJQaTQW8hHh9xuhEN6ZExy2DZ9cAeeWvUxquVE4jADRq6hSLgjFwJIMp/1I21RlT9CT+eTedieB6//ooR+YdTa+NIDjBphoMWM7voJPicCM4pUcadfOMy0lRNWoop8lM1kk3TRRpBNy51omj4shpCQ4jc0YyOVurajjHSK2f2EjVcT8VCWPgSAYT1uklbDg6eo22bTupirKMOI02VWbgzCjBKwa8TdT0Cf2Xl2bM/w6HB1JapeFK5acAehpxhwtKLhSwEK8Zu+Emg46EeGaklhLd8KbhdIqKlzPGGZ4olYExcKSDbTqlKEeXZKyPsCYG00hn80qulDHOqNPP4ygnJw64G5NOiqOUJn8M02sjsCzAtl351gHlRHBmaMjBcSKNdZEJ0zeAnj2byongAHoSjZkhXgrJmO2nnX36VcOJgDFwJMPx/ifgbuSvyQt0YjCtTZ8Y5vnHayauvgFcr1GnKBXbHGeUaODo2AunnAhOKBhwCJ66KI60hyheFs9Ik/EB5RlwgJ7HNThcsRLHqKOhWl4EJz++ZCaHvqQ+1XCiYAwcibBt2/FwJyKnAnkjIVTwvHTxjA+WQWoEvJVieowPcCNqpRipgJ5GHPPiS1UculUZHe7PE8UDFiasvgFcxXG4P6XN2XDlplKZnOpkxLEIzswSqlIBPQ3VzjLKxGsj7tlwuqxFkTAGjkT0JjNO87RSSH+BgOUYQrosyHI8f0DPEuNDZVTfAMC0OsZR0YfYyAzqUjZVQD+OCpPT6XXRCYni+etcgmrPkB7z2FmG5w+4ht7hfj3GB3jktERnQ7dS8aF0Fr2FSEypkTgd91RRkGLg3HvvvZg/fz5isRiWLl2K559/fsxr29racMUVV+D4449HIBDAmjVrRlyzceNGWJY14jU0RDt3fLhgUddGgqiJTJy+AfTzOMopEQeKPWNdCKqML1RqBIddd1iTDSebs9FdqDIpJboBuIaQPnJanpEaDelHUD3kpFLLi6Z2aRItBvLEdsB1IiaCu5/qMUZmiEdCATTExj+mgcF1NvQYo0gIN3A2bdqENWvW4JZbbsHOnTuxYsUKXHjhhdi3b9+o1yeTScycORO33HILTj755DHv29DQgLa2tqJXLFZamFIVmEVd6oYDeBWHHsJaruJgBNWcDXQP6DXGUo04J4KjiWfcXejzA8A5g2ki6Naz6WAZTf4YdKtqdFNUpcppfq7z6Ts9nI3DZTobujmMXv7NRMc0MOiWLhYJ4QbOnXfeiWuuuQbXXnstFi5ciA0bNqClpQX33XffqNcfddRR+OlPf4qrrroK8Xh8zPtaloXm5uaiF3W4VQ2lbTiAG3rVZUF2ltEDBxhOUNVjQZbLbZheq1cEh5Fv4zVhhMY5ZdsL3RQHi8KVKqeAfhV/5ZKMmeefyubQn8oKey5eyGTd091Lj+Do1Vi03L0G0LcDvggINXBSqRR27NiBlStXFr2/cuVKbN26tap79/X1Yd68eZg7dy4uvvhi7Ny5c8xrk8kkenp6il4qcKjMfDHgPcpAD2FlyrEUEjXDDI26Gdu2XXYEZ3phc+rqT2vhGbNIUzlzqJvi6CqD7M+gbwSntDHWRIKIhfMq4bAGzkZiMO1EGqeW0OcH0C9FVYmcmmZ/LoQaOJ2dnchms2hqaip6v6mpCe3t7RXfd8GCBdi4cSOeeOIJPPLII4jFYjjzzDPx7rvvjnr9+vXrEY/HnVdLS0vF310NyqmgYtAt9N81wLgbpW04gIf4p8GC7EtmkCyU7JcbwUll9SjdZJGmsuZQs7x/JWtxhmZrsVySMeDO42EN0sVsDsuJNM7QLNLIHMZSuXCAftFUkZBCMh6eO7Rtu+R84mg444wzcOWVV+Lkk0/GihUr8Pvf/x7HHXcc7r777lGvX7duHRKJhPPav39/xd9dDcrtnwK46SxdrHHmcZSzIGdo5Bkf8hDFayOlkf5qIkHUhPOk8i4NeDhuBKcMxeghi+sAZohPLcsQ10dx5HJ2WU1FGRgPRweicbn8G8D9LQZSWQxqkIY7XIGBo2OvH1EobYeuEI2NjQgGgyOiNR0dHSOiOtUgEAjgM5/5zJgRnGg0imi09M1aFCpZkMyL1oWAW0mKyj1wk/4YD1Xg+bPrP+4exKH+JI6cUSvi0bjBncPSlT/bgLt0k9OyPGN95LR3KINMoSqxHOXIrtXBoeoqs4IKAOqjIYQCFjI5G10DKdREakQ9Hhd0O85G6WvRSaVqwvkTCaERnEgkgqVLl2LLli1F72/ZsgXLly/n9j22baO1tRWzZ8/mdk8RqIQwNrVWH8/YW148tYxNVacoVXcFHhXgGkQ6GABM1spRHOz3GEhlMZSm7xlXohyn1+mzFtn4aiNBxMKltaQAXOdLjwhOea0MgHw2YapGxjiL4JS3n+pjiIuG0AgOAKxduxarVq3CqaeeimXLluGBBx7Avn37cN111wHIp48+/vhj/Mu//IvzmdbWVgB5IvHBgwfR2tqKSCSCRYsWAQBuu+02nHHGGTj22GPR09ODn/3sZ2htbcXPf/5z0cOpCpV4/24Eh35qo4j0V0bon4XFdYhSVZLaAFxFqsOmU0mksT4WQsAp90+jOV66UlWBSlKpOkWpKuFuAB451cLAKaT8y4ymTqsNo7MvqcWeWgnJmM1592C6ajqI7hBu4Fx22WU4dOgQbr/9drS1tWHx4sV48sknMW/ePAD5xn7De+IsWbLE+f8dO3bg4Ycfxrx587B3714AQHd3N/7u7/4O7e3tiMfjWLJkCZ577jmcdtppoodTFQ6VWX0DuILdl8wglckhEqLbfJptqvWxEMIlkv4AaOVRVRrBmaFjBKeMMQYCFqbVRnCoP4WugRSa43R7UhU1Miwj9M9O5GafpYzuCg1xLSM4ZRs4+qzFSgxVNufZnI3eZAYNsfJkwE8QbuAAwPXXX4/rr79+1L9t3LhxxHsTldLedddduOuuu3g8mjTYtl3RptMQC7ue8WDKObiRIirxNgC3xFMLj8rZcMqM4GjIbSh7HmvDjoFDGT2eSGNZEZzC75FvhEjbM54MEZxKuGKAu/92abHflG+Ix8L5cv+hdA7d/elJbeDQDQf4DIPprHMOVbmecVwTA8BN31TmUVEfH1D5GKdrVJ3C0miVesbU55HxGuqj5UUamVGbztrkG+FVmkrVKdJ4qIJIo/f6buJrMZeznYhxOWR4QK8olUgYA0cS2KYfDlrOaa+lwhFW4gvSieCUuam6HhXt8QHeFFV5Y2REah2Oa2DzUC63QZdUY3cFBGMAqAkHnRQx9bVYaSp1mkZFDV0VlMEDwNQ6PSI4PUNp5BxOoz/XomgYA0cSmIETr4mUHdrWJaRa7sF3DOz6ZCZHvjdFV4V5/+nOOT+0SzeH0lkMFOag/AiOHpHGSrkblmVpM8ZKU6k69TOqhCvmvZ56UQPb76dEQ2VzL3WRU9EwBo4kdA+ycr/y86H6LMjKNpy6SBDhoFV0D6pgz1d+iopFcGiPjz1fOGihPloeRW+aJgRVt4KqirU4SHyMVaaLE4NppAspdaqopBs14KZ7qO81brsG/+oM0TAGjiQk2IZT4pkpXji9cIgLa6UkY8uyEK/RY9PpruAoCu/11Ctw2KY6tda/kcZKmvwxMD4c9TG6abhy08Xub5IgLKtD6SwG05VFGrWR0wojVAAQ12SMomEMHElwG+BVYo3rEW6slNgIuGNMkB9jZZsO23ASg2nkcnQP3HROZ/ZxpLGS5mkMuoyRpVLLHWMwYKE+lo/cUTZw2F4YDFQRaaQ+hxXuNfnP6NNbTCSMgSMJXg5OudAt9F+JZ+yy/uluqoOprHPQZrlGHPP8bTvfRp8qXDmt3EglrzicSGMFY3Sq4ejKKVA5yRhwZZuyQ8VShPGacNmRRkdOqe+nFfKo8p+hv5/KgDFwJKEaDo4uIdVqPGMdKqnYs4UCFqaU6TVGQ+6Bm5Q9Y/ZslRjiU53oBt3xAd7eIpWPkbKcAp4xVrLf1DAeDt0x8kj59wxlkCHMM5oMcioaxsCRhGoWpC5hcabYyuXgAHqM0UswrqTJm+MZU1Ycg9VEcPTYVKvhNugQ+vfyUypxNtjc62CIN1Ri4Hg+Q3mMPOSU8vhkwBg4klBp63RAD8XhbUrl1yhVpQRjBh0aNnpD/+VimiY8o2r4cE6UirDi8PJTGmLlN6uPa5CiqsYQDwUDDs/Ir/uNieDkYQwcSXAURyXWeB39DacvlXGaUlWy6eiwIKsh/QHeCA7deezhoPxzdr5JGVVUoxynalBF5UQaK+CnsM8BtPebRBVyCugRMa4qSsX2GuJcMdEwBo4kdPNIURVOh6UIloKLhAKIhcs/SVqHKqpqqsQAL7eB7hirUf6RUMDhJlE2AKpKw9XRV4xdVURSvZ/zq5wC3koq+mOsxMBhOqM3mSHfz0gkjIEjCdV4HN7TYXuIVuAwj73SDUeHCE53FTlxwMNtoDzGKqqoAPpk8aF0FqlCJVxlioN+BY6b2qhSTv1s4BCXU6C6Meary/L/TzkSJxrGwJEEN4JT/qYTDQURLbTq7iG66fDacCgvRoe7UUF5MaBH+a0zjxV6/+zkYupyGrCAKZHy+Sk6VOBUw/cD3D2KcpSqWkOcfY6qnALus1Uyxjz/ihmqdOdRNIyBIwHeqoZKFQd1r6qaxQjoEcGp1oiLa8DBqXqMxOXUG/YPBCrnp3jvRQ0smlpJhAqYHHJK3RDP5mz0JvPR+uqjVDTHKAPGwJGAHo/XWG7XTQbqHgcvxdgzlCHLM2K/Pdscy4XrGdOcQ8DlQPnVM67WEA8FXZ4R1XQxNyOVspz63BD3rh8/z6NoGANHAro9i7ESrxFwvTGq1Sm8NpxsznZOs6YGbkYc0U3V6zVWQoYHgIYafyt/AE7pNdV5rNoQ14hkXEmfH0AfOa2NBBEOVqamqesMGTAGjgS4OfHKFiNA3+OoVnHEwgHnRHGqY2SbYaWhf+qN/rwKu+L0hs/lFKCvOKodoxNppFy16fcITpVFG4BHTomOUQaMgSMBjKzHw2ukuiAdbkMFjcWA/IniTl6cqOKoNr1BvdEfizTWVeM1xmiHxaspvWVoIK8c+Rji2ZyNviS9CIdt277n4PCJNDI5pTeHsmAMHAmopnMqg5veoCmsbBFVozio54x7qjTiqDf647GpMoIqVSOVyxjJr8Vqo6lBRApVmxSN8b5kBtlCV1G/RnB4GOJx4pFGGTAGjgRUcw4Vgy4LshrFUe8hGlMDj6oGlqJMZXIYStPjGbkl4iaVOh5cz5jmGHurNMQBd6+iOEb2TPmmotXxUyiOD+CVSqUd9ZcBY+BIgHuSeOWKg3rev9r0jfezFBdkr+d3r9SrqosEESyQzCl6xm4qtXLFSD3N6KZSq1cc1MdYaUsKgDbR2Kv8KzmKgn0WoD+HVckp8TScDBgDRwKqbUoF0Pc4eBg4lKtTeFQ1WJblnvNDkGjMZQ4ngZxSroazbdvtg1OFcqTMF+NJFB9K55DMEI6mmhRVVTAGjgTw4OBQD4vz8BopR6kY36IapQHQPqnZKb2toNs2A4v+0OVRVZdmBGivxcF0FulsdfyU/GdZJRU9Q5xHyr8+GnKOMqDIpeLrbNAbnywYA0cCqm2e5v0sVa+Rp8dBUXHwGB/gKsdegjwjJ9LIwUjtTWaQy9ErMebrGdObQ6asgwELtZHyD71lcNJwBJUjjzkMBCyn6Srt/abydDFlnSELxsCRAB49DeKErfGBVBaZKqsaAG/OmN4Y3fb3lW84+c/T3XR4EnBtGw4pmxJ4pjdoK8bK+SmA1xCnPcZqQLnij0tEnHDKXxaMgSMBvVX2pch/1hVWas232GIMBy3UhCv3GidDBKc+RpegymOMsTDtg2F5djLuJTg+l3/DyRAnKKfdHJQ/QDvVyNMQ7/WU1U82GANHAqptnQ64gp7K5pDM0DrFmJvXSLg6hcccej9PMUrVzcszJmqopjI599Bbn/b64ZEOB7zePz055RbBmSTRVADoI5hOlQFj4AiGt6qhvgqvqi4SAjvGipri4FHSCOix4VQThct/vuD9E1SOPIiNAN00HJtDy6puLXo9f2rR1GpPEmegXO7Pmw9HTU4BPoZqJBRwIurUdIYsGANHMJKZnFPVUM2mEwhYZBVHDy/lT3jDmUyKo5pqP4BueSobX300VPGht4A7vnTWxlCaZjSVnyFOz/N3qqg4ySk15Z/zNBWtdh6prkVZMAaOYDBlHbDyjd6qAdUFyc2jIjo+wCV3+zn0z6NfE0D33DQexE0g3wuJNWykNkYeZfAAbWeD335D80Tx3qEMWGCQ1xipyaksSDFw7r33XsyfPx+xWAxLly7F888/P+a1bW1tuOKKK3D88ccjEAhgzZo1o1732GOPYdGiRYhGo1i0aBEef/xxQU9fHdz0VHX8FIAuKY53Trw/lUUmS8szrvYcKgaq5E1e/BTv56nJKS8eVf5gWJp8MV7pYqpyCvDfb6j1bGK/eSwcQDRUnVNM2VCVAeEGzqZNm7BmzRrccsst2LlzJ1asWIELL7wQ+/btG/X6ZDKJmTNn4pZbbsHJJ5886jXbtm3DZZddhlWrVuG1117DqlWrcOmll+LFF18UOZSK4J7sW51iBOiGG3lxN7y8CGqhcb/3wfGeGj0lWp2sUj2Mkke7BgaqfDFeY6wnHGlkslrPi/NHbD/lZaQCdMcoC8INnDvvvBPXXHMNrr32WixcuBAbNmxAS0sL7rvvvlGvP+qoo/DTn/4UV111FeLx+KjXbNiwAeeddx7WrVuHBQsWYN26dfjc5z6HDRs2CBxJZeDlNQKecCMxj4OX8g8HA04aj5z3z4uDQ7RSjJGeayNBhCo8ioKBaqqRl5wC9MdYdb+mwn6V74xMK5rKKoKqNcSpz6Gf5VQWhBo4qVQKO3bswMqVK4veX7lyJbZu3Vrxfbdt2zbinueff/6Y90wmk+jp6Sl6yQKL4FRTtcFAtYOqiAVJzQDgVmFENGTcy0lpAHS9Rl4l1N57UBuj36OpQ+ksUgWDq9o9lary57mfUo2myoJQA6ezsxPZbBZNTU1F7zc1NaG9vb3i+7a3t5d1z/Xr1yMejzuvlpaWir+7XPQO8Yzg+H9BUuQZ2bbtnkVVteJwjVRKJcYs7D+FgyFOcQ4BQXJKNJpa7X4T8kRTKRnj3lRqXYRPlIqakcpXTg3JWDiGk2tt266acFvOPdetW4dEIuG89u/fX9V3lwNeihGgqziE8IwIeRxD6ZzjNfKqasjmbIfUSwHMS6/nEMGhaojzSjPm70G3AgfgoxzrCRoA3vRUNaX+AGGSMadSf+89KM2hTFS/m42DxsZGBIPBEZGVjo6OERGYctDc3FzWPaPRKKLRaMXfVw14NPljoEps7BviQ/oDaJY1sjkMBqyqS/1rwkGEAhYyuXxUqLZKL5QX+pJutV+1ICunSX7pYqo9qXj1wcnfI4T2Hlopql4BKX92MGy1BhMvTAY5lQWhEZxIJIKlS5diy5YtRe9v2bIFy5cvr/i+y5YtG3HPp556qqp7igJfkjFNz9hJb3D0/il5HG7YP8Ql8khxjLyIm4DXSKWjGAG+ypFiNDWTzTlrkWcajpJy7C0Y4jzllNrBsDz5cBTlVCaEu49r167FqlWrcOqpp2LZsmV44IEHsG/fPlx33XUA8umjjz/+GP/yL//ifKa1tRUA0NfXh4MHD6K1tRWRSASLFi0CANx000347Gc/izvuuAP/7b/9N/zxj3/E008/jRdeeEH0cMoGj4M2Gcj2F+EYpaK4IHkRNxnqYyEc7k8RUxz8ODjeCA6PdDQvuIrDnyRjb6SFq/dPaIyOIc5hfNFQELFwAEPpHHoG09zWd7Xo5RgRp1qYIgvCDZzLLrsMhw4dwu233462tjYsXrwYTz75JObNmwcg39hveE+cJUuWOP+/Y8cOPPzww5g3bx727t0LAFi+fDkeffRRfO9738P3v/99HHPMMdi0aRNOP/100cMpG7xO9/Xeg1LI2LZtrgRViukNnmF/gGYvHK7RjWEHw8aqOGGeJ0REGkkZ4oW9pi4SRLjKUn+AZi8cnnMI5NfiUDqJxGAa8kpPxgdLF3Mh/DOuGCE5lQkpBIDrr78e119//ah/27hx44j3SqkuueSSS3DJJZdU+2jCwQSLhzVe7yhGOsI6kMo6bcXrOXjGDQQ9DicKx2EOAZq9cPo4koynREKwrELofyhDx8AR0bKBkPJnz8JjrwG8hjgdOeW9FutjIXT0Jouqs1TD4eCYFFXVMGdRCUYvxwojFsHpS9IpMWaLMRiwEAtXL04Uyxp7OabgAJrcBp5RuEDAwpQIvVPTec4jSTlNcpZTgpVivCM49QSjqTz5cOzctWQmhyFCVZuyYAwcwejh2AeHKZ+cnT+viQK8SoMH14JilKqX+6ZKT3Hw5KcArqxSURzZnO2sGR7zSFFOefJTAJqGeC/nMdbHKBri/CKNLJrqve9kgjFwBMPpg8PBwKkJu6cYU1mQPBn/gCdKRWgxClMcROYQ4B+lqidm4PSnPGdtcYzgUIym8kpRUeyD43c5BfgS/r3RVEppOFkwBo5ApLPuCc08UlSWZTkLkooBMClCxhxz4oC3NwW9MfLzjGlFONh6iQSrP6EZKI6mDpCJpvKWU3qRRu77TZSWnAJePhzvaCqdMcqCMXAEwquk/Zre4EncBGguRv4RHIIkY85GnOMZE/EaeRtwxdFUYmPkWGEE0EpR8d5vqMlpxuMU80/D0RijTBgDRyDYxlDH4YRmhinEPA7eKSq2GPtTWWRzNEL/LgeHVxUVPcXBs/cG4MoDlU2Vd2qjKJqapDGPvPkpTE6pzCHgf65Yf9KNBvo5Ki4LxsARCJ5N/hioWeO93PP+7qKmkjPmn/ent+HwjlJRS1HxNsS99yITTeXY5Rfw9sGhMYeAd7/x51pkUd1oKIBIiJdTTC8qLgvGwBEInhVUDF5yIwXwVozRUBCRQrSLyoLknd6glqJKZrLOYaK8yeJUFAfv9A1ATznyTt+wfasvlT+riQJ4NsED6FVR8TyHioGaUywTxsARCPdUWBGbKpUFWYhucFUcNI04v5KM+wRyxciQ4Tkrf++9yIyRe3SD3llN3Nci0TkUYYhT2U9lwhg4AsGb15C/Fy1rXMyCJDpGztwGKhEc9jvXRVzibLVwDHFi/BSua5FY6L+HMz8lFg4iWkiTUEhT2bYtgCtGMwrHa68B6EWpZMIYOALB8xwqBmrkzR4hnjGtKJUoInWKSHdR3gYcQE9OeTdrBAga4gKUIyVjPJnJIVNIlfk1ReUcXMzJSM3fi5acyoQxcASih/MhjQDdvP8Ujp4xJeWYyuQPjAQ49qWI0CJSiyDgUm1nwNczZlEqImMUaMRRSOEwObUsoJbT+WbkjFQBzga1UniZMAaOQPQIVBxUPA6/p6i8BgivTScQsJzfi4bi4HcgLIOT9ycjp3wrjAB6PZuEEFQJORvsd54SDSHAOZVKhUjNm2MEuM4nhTmUDWPgCATv1un5e9HZcABR5E06C5KNr5YjPwWgNY+ToXJjUoxRRCk8IcI/72aUQDGR2nuchyoIjeAQMcRlwhg4AiGUMEaGvMnfM6bUQK1XgOfvvR+FefR7FA7ge4AhgxulUj/GobRb6s9zjK6cqh+jiP00GgogHKTTkVqMnNKJFsuGMXAEQozHQWdTBfg33vLei8KGI2JT9d6PwjyKVP6D6SzSBcWrErw74AKe9A0hIxUA6iL855GC9y+CKJ7vSE0nYixGTumMTzaMgSMQfq/csG1bcEhV/RhFGKkArTSckE3V25GawBj9HqXypqd48VPY/bz3VwkRpf75+9FJ4fBuZAjQGp9sGANHIBjBUkjlBoENZyCVhV3g5fEsa6TUm4L3+T4MzGCiwW3gL6fhYACxcKBwfwJj9HmKSoQBB9BquiliPwWIpeEE8owone8nC8bAEQiRxMZUVn0PFab8gwHLUWY8QMnjcFJwHA04wOMZU9hUBVRuAK4BQKGHCu/zxABaZ1EJM8QJpVLFRVPpReK4yinB8/1kwRg4AuGEVDkqxzpCPVScYxpiIViWTyuMBHNwKIxRBAcHoFNinM3Z6E/lnQG/tmwQFcFh0VRKRhx3OaXEMxJQCRcNBZ2DOymMUSaMgSMI2ZyNAbapclyQQU8PFdWKQ8RiBIiFxQVVUVFSjr0CeFQAHUPVW/7LtctvQTEmMzmkMmqJ1CIiVIC3TJyQnHKOplKRU0DcWqR2SLMsGANHEIqqGqJ8um4yUFGO4vL+dDwqESFjgGaKStQ8qlaObHyRYADREL+16F3XqudRRDocIMYVE82HI2Dg9AmI+gO0usPLhDFwBIFtCJEQ300VoONxiFL+3vHZtlpSnIhKOIAot0FYdQoN5c9bMYaCAdRG8mtbtTEuPJpKQE6dKJVPHapMNofBAq/Sz2k4mTAGjiCIIm4CdKxxUZsqu18mZzvnQKmCKPKmUylGwDMWlt4gI6dixue9p+ox9glK31DiigmLUhEZY3HU359rUTaMgSMIIkpvGahY472CPP+6SAiMs6y6AseNUvkzulHUy8inVVSiDHHvPVXPozAyPKESanGVYjSI1Gx80VDAIQXzApX9RjaMgSMIohj/3nuqFlZRm2qAEJFaVGkqFfJmMpNDOptPA/rdMxZh4FBxNkQ3pExlckhm1LalEFYpRozTKEZn0OktJhPGwBEEOZuqasUhJicOuBUqqnP/ovgbVIiNXhni2eIfoMPfEMUV895T9VoUnWYE1M+j6E7GqonUYnUGDSNONoyBIwgi2t8zNBDx/idD6F8cedM1UlUSqb2bKs8W/4BrpKreVEUpxvw9aShHUembYMByiNQqx+hNpfI24hqIGKmi0uH5e9KQU9kwBo4giPQaySh/oSFVGh6HqD44TBGpJlKLKhEH6BBURVXCAd6DDFXLqb+djaF0zjlmwK9tKRhXTWwExxg4BhwgdFMlIqwuB0ecx6GS3JjO5jCUzhU9Dy/UhoMOkVrlPPYmJ0GFkaDohveeyscowdlQ6f0z4yNgwYko8YLXgCMRTRXiFNMw4mTDGDiCIHJTpVKdItRrJMAz8nIOeI8xELAwJUJBcYiXU9VhcVFROICGIQ54I3H8nQ0Ka9HrMPI8FgZw55BKNFUEp5GKsyEbUgyce++9F/Pnz0csFsPSpUvx/PPPj3v9s88+i6VLlyIWi+Hoo4/G/fffX/T3jRs3wrKsEa+hoSGRwygLMjZV1YpDTn8RdUYc+31rwkGEgvyXCokxCkxRsfFRMcQbBBpxqhWH0HSx081YvZyK4KdQaUshIwqnWk5lQ7iBs2nTJqxZswa33HILdu7ciRUrVuDCCy/Evn37Rr1+z549+PznP48VK1Zg586d+O53v4sbb7wRjz32WNF1DQ0NaGtrK3rFYjHRwykZk6HkT4ZyVFm5ITK64b2vyjG6yl9AmtHT5j+XUxf6Fxqliqo3UpOZrHMWlphIHB05FbHXUGlLITaayiKNJkXFFXfeeSeuueYaXHvttVi4cCE2bNiAlpYW3HfffaNef//99+PII4/Ehg0bsHDhQlx77bX4+te/jn/6p38qus6yLDQ3Nxe9KEFOHxwqjf5EKg71m6qIkDFAo4lar1BiY95osu3iAy9lQ2RFIwnlL7DUH6AlpyL2GoDGfiNWTmm03ZANoQZOKpXCjh07sHLlyqL3V65cia1bt476mW3bto24/vzzz8crr7yCdNpV6H19fZg3bx7mzp2Liy++GDt37hzzOZLJJHp6eopeoiGqdTpAI9xY1AFXZJRKZVhcYDfq/H3VbzqiTi8GgFg4gFCh9JyCoerXnlRsfHWRIIKcS/0BGkRq0dFUCgaA2O73NIjUsiHUwOns7EQ2m0VTU1PR+01NTWhvbx/1M+3t7aNen8lk0NnZCQBYsGABNm7ciCeeeAKPPPIIYrEYzjzzTLz77ruj3nP9+vWIx+POq6WlhcPoxofIHjFsMQ6ksk7ppGz0p7Jg64T3ybcADSNO5BwCNCJxItOMlmWR4IsJbdlAYA4nh/KfBGtRIFfMe74fqwydDJBCMh7Oerdte1wm/GjXe98/44wzcOWVV+Lkk0/GihUr8Pvf/x7HHXcc7r777lHvt27dOiQSCee1f//+aoZTEmT0wfF+j2yw7w0GLMTC/MWIVE5c1KYaJaD8BaYZ8/dVX54qhQxPYA79LKcimzXm76t+vxHpbHiJ1JOJhyNmRRTQ2NiIYDA4IlrT0dExIkrD0NzcPOr1oVAIM2bMGPUzgUAAn/nMZ8aM4ESjUUSj0QpGUDlEbjqRUADRUADJTA49Q2nEa8Us+vHQ5+mfwrtsM39f9YrRVf5ifl8a3AaxBg4bo6qDDLM5G/2pbNGz8IQ3QpXL2dy7QZcCkRVGAI0olWhDfAqB1hsiHSpGpO4dyqB3KINZ9dy/giSERnAikQiWLl2KLVu2FL2/ZcsWLF++fNTPLFu2bMT1Tz31FE499VSEw6MvYNu20draitmzZ/N58CqRy4nlpwDqe4zISt/4NbWRvy8B/oZAYiOgnoTrJTeLqaJST6QW2awRmCTRVAL7jUg+HECDSC0bwlNUa9euxa9+9Sv85je/wa5du3DzzTdj3759uO666wDk00dXXXWVc/11112HDz/8EGvXrsWuXbvwm9/8Br/+9a/xrW99y7nmtttuw3/913/hgw8+QGtrK6655hq0trY691SNok3VpwtSXk7cv6F/CmXiIivhvPdVJqeF3zYSDCAa4tsBFygmUqseo1/3GkBstR9A4/Bb9t0iWjYANLhUsiE0RQUAl112GQ4dOoTbb78dbW1tWLx4MZ588knMmzcPANDW1lbUE2f+/Pl48skncfPNN+PnP/855syZg5/97Gf4yle+4lzT3d2Nv/u7v0N7ezvi8TiWLFmC5557Dqeddpro4ZQEthGEgxaiITE25BTFC1J0amM4kVpEdchEEE7eJMFtEFwp5nM5ZUTqroE0eocymB0X8jXjQuSxMAANA0d4ikrxWsxkcxhMi0ulAjSI1LIh3MABgOuvvx7XX3/9qH/buHHjiPfOPvtsvPrqq2Pe76677sJdd93F6/G4w5sTF8FPAdTzN4Tn/b1E6mQG8Rr5PCPRXiOFCI7wXj+KSbiiS/3ZvZmBowIij4UBvOcYqY9uiOPgqJZTTy8jn65FFTBnUQlAj+CQMaDeGhftNTIiNaBujOIrjBgBV834bNsWrhxVk8VFczfy91bLhxNtpKrmUQFi+4oB6tM3TE6joQAiPo36q4AxcARANHcDUO/9i1aMgPrQuN/D4slMDplCHyXRkThlciphLao2AGRVUaWyOSQzWSHfMRFkVfv51ZnK35vG4bcyYQwcAZCi/BUrR6e3iFDPmIbiEF5hpGgOWeTIsoDaMH8CLqB+jKJTG4D686h6BO833uMf1EU4xKYalcup4JYU+XtPPg6OMXAEwOkRIyGCoyzvLzFKpSpnLJ686YbFVbRPdwy4SEhY/xbVUSrRDeIATzRVNc9IkJwGAxbqInkDWMV+4z0WRvS5cMoNOBkOo4ngGFQD0dU3gPq8v+jyYsDtMaKavCk6LK6qfbqMsLjqHiqijVTvvZU7Gz5NbwyksmAn0gjvZOzTvmLee5s+OAZVQWbeX1nO2DHiJHjGChZkWkLZZm0kqLR9ugxDXDXJWA5XTDHJeEhsdANQGzFmv6uoY2GA4ihcTsH5fnKMVBPBMeAA0aS//L1Vh/7Fh1RdnpF85djv+V1FbTqWZSkNjcvwGlXLqej0DUDA2ZCgHFWmN7xyKqrthrcj9UBaPpFaCleMQPNU2TAGjgDIDP2rrk4ROkaFERy2CcTCAYSD4pZJg8LjGmQQG1XLKftdRZzQzKCa2yCDZ6TSiJMREY+FA04zURWyKppjBHhoDcbAMagGUvOpqsPiEjwOFQc1iu67waBSOfYJrkzx3ru/0JFaNmRGN1QYqalMDslMrug5REBlJE7kafAMRdFUn6aLVZPhVcAYOAIgg9io+qBGOeRNddwGGREqQC23oVcCd8P7+6k4jNJ1NvyZLvZ+p18JqjKcKe/9Va5FGXJqysQNqoIMz1hlczFv2aYUj0PhpipSaXjvr1I5ihxjNBREJMg6UvtzjEoJuIXvrI0EhZ7XptKhkuFMee+vRk7FR6m8vdNUtKVQAWPgCICcfGr+3oPpLDJZuSXG/aks2PqoF+lxKFT+PRJI1IBar6pXAgcHoGGoymhnoIQrJoFE7b2/yvSNaDmlEImTwWnM2fnS+8kAY+AIgIzSVO+BbP1JucLKxieybBMgQmyUFBZXWkUlOg2nVDmK94xVchtk7DWAWjmVNUa/VzTWhN0o32Th4RgDRwBkhFSLDqOUrDi84VRRZZuAWiK1rLw/BZKxyEgjoC70n83Z6E+J7WUEFHv+snuoyIpuqE2lSpJTloZTaagKHKOXSD1ZSsWNgcMZRW3FhYdU1eTFZXgbgOLUhoQ0I+CZQ5+Gxb33l60cvaRmGVVUANAnmUgtW05VVDTK2m+URlNlpYsVn5smG8bA4YwBLz/Fp4pD2oajsIpKdvpGaeWGT6tTmKKKBAOIhsQcJgoA0VAA4aCaHirSCLgklL/o/UZhSlxypZhJURlUBLaJhwKWk0ISBVU5Y9me/0BKPpFaWh8cR3Eo7L0hi6CqKNIoWk6Le6ioMeLk8ahUcnD8mYbLSDgWhkF1403ZMAYOZzit4QXzUwB1HBUZR1EAaonUvRJK/QGv1+jfFJWqU+G9a1E0VKWLZRxFAbidoP3ayRhQKadyUqmA+kNFZcMYOJwhyysG1IWNZYXF1RKp5XIbZHuNMrliqlrES12LitIb0sjwrCO1ZEcDcH9TkcdtAJ61qEhORR8LA3iI1CaCY1AJZHkbgLoyalnRDUBdzli24pA9vsG0e3SCX3v9yFyLquZRVhqO/YapbA7JjJq2FH5Nw8lKh+e/w6SoDKqALMUIqGuE54xRihGnyKuS3D1V1RwGrHwXXJFQb6SKVxz1qnhGkpRjXcRTKebTtajaEJeiM5y1aKqoDCqArMUIqGsRL9UzVsRRUdFATWb7dK+cyuKK+TW64f0Ov5KMAwE1PVRyOZmpVFVkeDk8KkBtd3gVMAYOZ8j0GlUdRimrbBNQSKR2ODhyNtVMznZOhZYBuXKqxkhV4WzI7hMjiysGqDFUB9Ly2m6oIhmr4G2q6GekAsbA4QxZLf6936GK2Ci6bDP/HfK9qkw255zVInoeayNBsACKTANACRnep9ENQB2RWs1+I2+M7PeU0XbDG4WTGU2VmaIyHByDqtArqf094FYVyA/9qwipyjPivJUioseoqoeKjNOLGRqcyg01R4rIJPzL5jbITMOplFMZbTdYtNa24RzxIQMyDXHT6M+gKqjgp/i10Z/3O6RGNwqbajQUQESw1wioIajK6mIMqG/0J7q8GFDZVdzfRlyPRAMuFg64h1EqWIt+LtpQBWPgcIYKxaGu0Z9Pw+ISDThATapRRYqqP+WWpsuA1PSNAp5RKpNzeFuiuWKAGkPVPYRS/PiKo6ny1qIaOTVVVAYVQEnvDT+TNxUQqWWc7OuFCkNVRd4fKD4AUzR6JSpHFQZOv0de6qJiS/0BxXIqaS0qiRjLJPybTsYG1UBuHxz5XSm9ZZsyiY1SQ8YSx5f/HvlhY1mlt4C6wyj93uiPfVdNOIiQ4A64gKK1OCSPKwYo5hlJLhOXSaRWBWPgcIbMrpRs0Q+m5R1GWVS2KWGMzhk4EkPGMtM3gJreFDLHaFmWkrOaZDobDQqMVJnpcECxnMoao89T4mwd2jacSlE/wxg4nCGzqkHFYZRsAw8GLMTCErxGn+f989+jQnHI8xq93yOT2yDT+1fBbVDFFfNrFM77PUoMVQlj9BKpJ8N5VFIMnHvvvRfz589HLBbD0qVL8fzzz497/bPPPoulS5ciFovh6KOPxv333z/imsceewyLFi1CNBrFokWL8Pjjj4t6/LIgM32j4jBKb3mx6LJNQFXeX3JY3OdeIyCfo5LN2U6pr1+J1DJbUgCuwS9zLcrkpwCewygVcP5kjFEVkVoVhBs4mzZtwpo1a3DLLbdg586dWLFiBS688ELs27dv1Ov37NmDz3/+81ixYgV27tyJ7373u7jxxhvx2GOPOdds27YNl112GVatWoXXXnsNq1atwqWXXooXX3xR9HDGRdEJzT4lxfXIJuCq8BolRuEANdEN6WOUzFHxkpllVqcM/26RkOlMeb/Hz2uxXiXnT3ZRg4ngVI8777wT11xzDa699losXLgQGzZsQEtLC+67775Rr7///vtx5JFHYsOGDVi4cCGuvfZafP3rX8c//dM/Odds2LAB5513HtatW4cFCxZg3bp1+NznPocNGzaIHs64KDqhWdqClFtlJLvCqEEBd0P2hqNkU5WchmuQPEb2PZFgANGQ+AqjWDiISIHoK2uMk4ErJjtFpaKxqDIjbhJUUgk1cFKpFHbs2IGVK1cWvb9y5Ups3bp11M9s27ZtxPXnn38+XnnlFaTT6XGvGeueyWQSPT09RS8R8J7QXBMWv6kC8nPGqlIbMonUMjuLAqoqN9SMUZahKpMLxyA71SizoAFQUynm9+hGOpvDYFpeKhVQQ6RWBaEGTmdnJ7LZLJqamoreb2pqQnt7+6ifaW9vH/X6TCaDzs7Oca8Z657r169HPB53Xi0tLZUOaVzIPKGZQTZHRWa+GFBDpJbZWRRQw8GRXn4ruf+Gt8W/LMhONapKpRo55QdvLyPpDpUxcPhguLK3bXtcA2C064e/X849161bh0Qi4bz2799f1vOXioZYGGvOPRbXnHW0kPuPBtl5cdkelRoitb8jOCq4YrIPo5SdvvF+l+wIzmTgiklP+UuW01g4gLCEXkaAGiK1KgiVmsbGRgSDwRGRlY6OjhERGIbm5uZRrw+FQpgxY8a414x1z2g0img0WukwSsbM+ijWnHuc8O/xot7ZVOVsOk55sUTPuD4WRrIvKS+9ITn0LzsnPpDKghX6yO4vIi26IdkQB+TPY4/kUn82vqF0DulsTopCdg1xf7ZskJ1mBNRw/lRBqIRGIhEsXboUW7ZsKXp/y5YtWL58+aifWbZs2Yjrn3rqKZx66qkIh8PjXjPWPf0M2Ztqn+T0DaBijLK7p8r1GtnvGAxY0rhisudQdnlx/rvUEKllGanF6WJ/cqlcfopcQ1wmV0y2U6wSwk3wtWvX4le/+hV+85vfYNeuXbj55puxb98+XHfddQDy6aOrrrrKuf66667Dhx9+iLVr12LXrl34zW9+g1//+tf41re+5Vxz00034amnnsIdd9yBt99+G3fccQeefvpprFmzRvRwyEEVsVEqeVMRkVp2KbyskLE3fSOdKyZZ+auQU/kkYzljDAcDjkEsY4yyj4UB5O81shtuer9rMlRRCf9VL7vsMhw6dAi333472trasHjxYjz55JOYN28eAKCtra2oJ878+fPx5JNP4uabb8bPf/5zzJkzBz/72c/wla98xblm+fLlePTRR/G9730P3//+93HMMcdg06ZNOP3000UPhxxkH0Ypm4Pj/S7ZBoBsbkP+dOis8LJmlZuq/DSjgioqyekN2ZVig+mslP2mqJeRz50NJdV+xsDhg+uvvx7XX3/9qH/buHHjiPfOPvtsvPrqq+Pe85JLLsEll1zC4/G0hnSSsRMWlx/6lxFSzeZs54wW2aWpQL5STLSBo0oxer9bNGSnbwD5BFXZR4oA+fTGwV45fDgmK+Gg5RQaiIY3lTpRMQwPqOGKyT83TRXMWVSaw8mnSitNVeD9SzTivApYlnIMBizURvJGjZQxKvAa66XzjFSG/iUR/pUaquLH6OVRyUqlMjmVdRilCkNcxblpqmAMHM0hndiokBQnw/tn3yGrAy7DFImGqor0jWzyJlOODVIjOLKbGfo71aii1F/2YZSye24BppOxgUZQ1+jPnx1iVYwPkBulUpFmlH0YpWxyKiCXvJnO5jCUznf2VkL4l+hsyDRwZB9G6TqMEteiafRnoAuUcXAU5Izl5P3l9/kBJEepFFYYAXIOo5R91hYgV069Zdp1Pk0Xy+5izKAkSqUi0mgiOAbUwXLG0so2Uyo9Y/EelezT0hlkknDZ7ygzLB4NBRAO5kP/MrlUfi2/VdEBF/C/Ie79PplrUQmnsUCk9jOMgaM5mLDKOIxyIJ0FWw+yOosCkjccRQYO+z17fKr8i0P//vT+ZfKMVHTABSSnixXIKSCX16iG0+gSqfslEKlVwhg4mmN4ibFIsAUfCliIheWJjsycsYoNB5Ab+u9R5hmzaKMEA0BhGk6mnMokUQNy+265cirZiFOQopIpp14itd95OMbA0RwyD6P08lNklW0Ckjk4qlJUMomNCkjGgDzFkc3ZjmeqolJMBpFaxZlw3u+T2c5A/hjlHUapopeRZVnSz4ZTBWPg+ACyUjjK+CkSK8V6FVQ15L9PvvfvV55RUQdcBdV+w59BBFSQ/QHZLRvk81MAuWtRRcsG7/fJammgCsbA8QFkCasyfspk8BplGnGKqlPqJaVw2P3z0U15vYyioSAiBcKv8LWoWjFKLBNXJqcSo6l+rhRTCWPg+ACywsbK+ClReURqFc3TADWhf2U8I8HKUUXzNAZpa1FZ+oaNT2YnY1XpYrFzmM7mMJjOp1L9XCmmEsbA8QGcUnHBwtqnivTnDf2LJlIrNuKkVBgprk4RXSmmqpcRAGncBkdOlXHF/NnLCHDlRrScquplBEye86iMgeMDyPIaexRFN8LBgFO11SPYc1RemipYcdi2raTLL+CpwBEsp6r4Kd7vFB3671XkbEwKrpikVKqqXkaA/A74qmAMHB/AOXBTlvJX4BnLKk9VpRxlKf/+lNvLqEGVcpQU3ZgMBo4qrpjMSjFV7QxE7zWqehkB3n5GporKgDhkcRv6FHIbZEU4VJwNA8jzqLy9jFh7AVmQld5QFd3If6csOVXLFQPEV4op72QsLQqnYD+dJOdRGQPHB5BWRaWInwLICxv7fVNV1csIkHfatqo5zH+nnEicqrXorRQTOUZVvYy83yc+Iq4mQuX9TkMyNiAPWSFVldwGl6AqdtNRVkUlqVJMVS8j73cKT99QSFFJisQpGaME5aiql5H3+0TPIQmumDFwDKhDFsnYURwKQv8y0htFXqPkTdVbRSGyUkxVJRwgP5WqhCsmidugqiElIMdQZfeW3csIKI5uiDyMUilXTGJ3eJUwBo4P4JCMRZM3FUU3ADlGXJHXKHmMso7cUFVenP9OWekbdaF/2RU4aiNxAuVUJd/PcxjlgMDDKJUa4o6cGpKxAXFI46co5ODIaBHPfr9wUD4BF5CTF6cQ3fBzo78GyVEqJUacDDlV2Muo6DBKgWNkciq7mjH/nYaDY6AJ6iXnjFWSN0WGVL0hY9kEXPa9gFhDtUdR6a33O/uSGeQElhgrbWcgQXFkPB1wlfDhpMipur3Gsiw5USqlKSpTRWWgCaS3h1e4IGXk/VXwGgA55EYKPWIAoE9gibGqDrje7xTZBdfL0ZLdAReQFMFRuNd4v1fGfqMyRWU4OAbkUS+hCV4uZztKSWnOWCA/RVUFFYOMCI7KFFU0FEA4aBU9hwhQMOJEchsYRysaCiCiIJUqQzmqbIIHSEoXK+plBHiM1JTYaKpqGAPHB2DCOpASV2I8kHY74NYr2HTkbDjqlD8gp1uzyry/N/Qvdow00nCioKoZJYOMCA6bwwZFa1FGXyqVKX+2/m07v7f7FcbA8QG8HoCoEmNvB1x2LpRMyGgSp7JyA5CzqaqMbgByUo1qG/35WzECrnL0a6QRkNMnRmXRRjQUQCggPpqqGsbA8QFklBg76RsFHXABOWc1qY/giCc2qmyCB7jRP1FjVNkB1/udIs9qosJPERrBUW6ISyhqUMgVsyxrUpxHZQwcn0B0aFz5hiPBo1LZWwSQRDIeUld+6/1eUXKqsgPu8O80a7FyUIngCI3ETYJ5VA1j4PgEool/qr1GmekbZdwGGZuq4vSG6BJjdl8VHXCBwllNhWiqKANHufJ31qJIwr/atej2iZHQzFAZz0hO402VMAaOTyC6VFxlvtj7vYPpLNKCiNQqyane75VCUFVUnSI6gqOyyR+DcCOOdWpWlmaUKaf+TMOlPb2MlDsbJoJjQB2iw42u8lejGIvPahJrxNVF5Hv+gBxug3LvX3SkUWEHXAbR3AaV/VO83+vr9I1gMrx3D1PRywiQd26aShgDxycQHW5UzU8JBwNO9ZaoTUd1WFy08vf2MlIdFhc9h6rk1Pvd4pwNtXMohw+nNpoqei2y+8bCAYSDatTwZGj2J/SX7erqwqpVqxCPxxGPx7Fq1Sp0d3eP+xnbtnHrrbdizpw5qKmpwTnnnIM333yz6JpzzjkHlmUVvS6//HKBI6EPN9woxhpXXWEEiO8To1xxSCDgsl5GyrlUouVUZYpKcIRDuSEu4bRt1ZFGx2EUHC1W1cgQkJMSVw2hBs4VV1yB1tZWbN68GZs3b0ZraytWrVo17md+/OMf484778Q999yDl19+Gc3NzTjvvPPQ29tbdN3q1avR1tbmvH7xi1+IHAp5iA6pUuA2NAgfo9o0nOjTttlGpuowUUB8Gk61kQrIMMTVdtyWcdq2aq6YPCNVfSrVzyRjYb/url27sHnzZmzfvh2nn346AOCXv/wlli1bht27d+P4448f8RnbtrFhwwbccsst+PKXvwwA+Od//mc0NTXh4Ycfxv/8n//Tuba2thbNzc2iHl87yKqiIrEgBXv/fo3geCvhVPQyYt8N+NdIzX+3WG6Dajllp21nczb6khnuHJJsznYMJ9VcMdFGqsr9tN6kqCrHtm3bEI/HHeMGAM444wzE43Fs3bp11M/s2bMH7e3tWLlypfNeNBrF2WefPeIzDz30EBobG3HCCSfgW9/61ogIjxfJZBI9PT1FL79BeHVKUr3ikJUXp1BFJeJ8mB7FqQ1AYhWV0giOv73/4tO2+Y/R+7upJhn3CCaKk5BTH6eohP267e3tmDVr1oj3Z82ahfb29jE/AwBNTU1F7zc1NeHDDz90/v21r30N8+fPR3NzM9544w2sW7cOr732GrZs2TLqfdevX4/bbrut0qFoAb+TjL3fLWJBZrI512tUXJoK5PkyvA0R1akNQPyRGxQUhzNGn1Y0AnkZSgymhaxFZlSoOkwUKC6htm2be8SzV3EKDvAQ/n1s4JQtPbfeeusIgu/w1yuvvAIAowpFKcIy/O/DP7N69Wqce+65WLx4MS6//HL867/+K55++mm8+uqro95v3bp1SCQSzmv//v3lDps8RPc0oKE4xFXgeM/wUqU4ik7bFjCPqlMbgHiekWuIE4hS+bQnlfe7RYxRNYna+92ieEa9ijuKe79bZMNG1Sj7173hhhsmrFg66qij8Prrr+PAgQMj/nbw4MERERoGxqlpb2/H7Nmznfc7OjrG/AwAnHLKKQiHw3j33XdxyimnjPh7NBpFNBod95l1h+hzjCh4jSI3VQpeIwv9dw2k82OM870/BcUhPkVFh9sgaow9pKKp/Pcb9rupOkkcEM8zIuEwTgIOTtm/bmNjIxobGye8btmyZUgkEnjppZdw2mmnAQBefPFFJBIJLF++fNTPsLTTli1bsGTJEgBAKpXCs88+izvuuGPM73rzzTeRTqeLjKLJBtHnGFFYkCJTVBTGB+TnsWsgLWQemfJXqTi8c5jL2QgE+Ib+KUQ3RFY0JjNZpDL5Tt4UDNUeIREc9UYqczYSg2n0DmXQ1MD3/n2TwNmgAGGu6sKFC3HBBRdg9erV2L59O7Zv347Vq1fj4osvLqqgWrBgAR5//HEAeaFas2YNfvjDH+Lxxx/HG2+8gauvvhq1tbW44oorAADvv/8+br/9drzyyivYu3cvnnzySXz1q1/FkiVLcOaZZ4oaDnn4ndgIiFUcqs+hYhB5arrqDrhAsfx4D8bkBTbGBpWRxqg4bgMFAq73u/0qp4DYqDgFZ2MynEUl9Nd96KGHcOONNzpVUV/84hdxzz33FF2ze/duJBIJ59//8A//gMHBQVx//fXo6urC6aefjqeeegr19fUAgEgkgmeeeQY//elP0dfXh5aWFlx00UX4wQ9+gGBQTYt9CmgQ2JgqU3RuCoUqKnEbjuoIjsj0BgUjlfGM0lkbvUMCidQEDHER3AY2h3WRIIKco1/lQGSTOGctKuRRAaLHSCjNmBITTaUAob/u9OnT8eCDD457zfBOmJZl4dZbb8Wtt9466vUtLS149tlneT2ib8A21YFUFplsDiGO7b+9C5wEsVEgAVflhgOIJaj2EOBRFfGMfGrEiUyl0ok0ihtjD4E59H6/f4nU+fHZtpiqTQowZ1H5BHVRN3rlrQjiAQrnpgBiDRwqm6rIc34oNGsExKYaewkYACJL4XsIRKgAN5Xq73SxuLXYS4ArJrpqkwKMgeMTRENBp/qnl3NlA4XSW+/3i/Go1Ec3ALERHApeIyDuKINiAq56bsNAKoss54aNFCJUgFiCKpV08RSBHBUKqVRvw0a/8nCMgeMjNAjadCgQ4gA50Q3VKSqRh6Y63ahVj1HQUQbeaEJdRN0YvdFU3muRQvUN4JFTgTwj5QaOwDJqlwyv2ogTs6d+1DWAW594E7949n2u9y0XxsDxEURZ41Q2HJFn/JDZcHxOMga8ylGMnE6JhpQScL3RVFHOhmojVWwEh4acug4j3/3Gtm1CaTgxqcaPuwaxcetebHpFbVNdY+D4CKK4DczzV533ZxveUDqHdDbH9d7UUlRi+osQ2VQFKUcqHCPA20RNTJRK9RjFRjeIrEVBzsZg2k1dKo8YC0qJU9lrjIHjI4hK4TiKQzEHx9tNtJ/3GFkVFRHFwXvDsW2bDrdBkHKkMj7vM/CeR3LVfj6O4AhzGAv3CwYs1EbUtjYRlRKnkg43Bo6PIIqES6XCKBwMIBYuEKl9OkZRlWLJTA7prF30HaogSjlSOMKAQRS3gcKJ8ICsfk3+jOB4D73lfYhnuRBtxKnea4yB4yOIyhlT2XC8z8B7QVIhGYsyUtnvZVlqCbiA25SSd/qGCq8BEMmHoxGl8lb7De9lVi2ojFFUuT8V5Q+IjKbSGKMxcHwEUdZ4HxEODiDOc3RCqqq9RsGVcFMiIeUdS0V7xqo3VUAceZNaKjWTs5HM8OPDFRFwlfNTxDobqp0pwDNG7pFGGvupMXB8BNHWuOoKI8BrAIiJUqkeo6jjKKh4VID/vUZAfDRVtZzWRUJg2RWe89ifyoK1DlKtHMUZ4mwO1UcaxZOMTQTHgBPEef80hBUQoxxt23ZTVETC4n1JvqF/SmlG0VEqUmMUlkpV7BkHLEyJ8J9HNoehgOXw7VTBjYjzNlIpRRpF6wwTwTHgBHH9RegoDhF58aF0DpkcI+DS8BpzNpwDTnmA0qYqSk6ppDYAcRWNlOZRhBHndaZUE3C96XCezgaVNCPgymmPT404Y+D4CKLyqZRyxiLa/DP+TZ6Aq7ZsszYSdEL/XBUHgbNvGEQRxalUwgH+r04BvEYcP+VIxfP3PkPOzh+7wQuU5FRU1SaVVKoxcHyEycDfEJEz9hpwqr1G7/kwPL1/SopDdCp1CoExiiCo5nI2+lKEvH8ha5GG5w/kDxdmHbFFpOFIrUWfRv2NgeMjiOq9QUVYATE5Y0qkP0BMCofC4X4M3jnMcTyMkpJyFFHt15/KgGVKKMiqyLVIIVpc5GwIcqhUo17QwbdUxmgMHB9BRO+N4nNTCCxI5ygDflEqSi3+ATHpDYpROCCvtHmB0jyKjMKFAhaiIfVbtwg+HKVIIyDGiOsjkr4B/J9KVb9KDLhBRD51oKhsk86CFBLdIOBRAV6OCk9uAzsRXr3iiIYCCAkJ/dOJxImowPE6GqpTqYDr/YuRUyprkf88Uum5lX8G/tHUXI7OYaLGwPERmDANpNzD3KqF99yUmrBaAi4gNixOwYAD3M2dp1dFKQpnWZYg75+OoSqGK0ZHMQLeaKo/5RQQy/mjMEbvWuEVTe3z3Ef1GI2B4yPURV0DhNeC9PIaSHiNAqJUvUS8DYaGmvxz8EzDUdpUAf6h8WzORn+h0oXCGEVwGyidtQW4cso3gkNrLYpINVI5FgbIR1PDQb7RVDaHkWAAMcVOsTFwfIRoKIhIITfPq3STLWwKixEQU2JMiYALeDzjQX6Kw1WOVBQHXwPAex8K88iegWc0lRLHCHAjjT2DPI04WmtxioBqOCoHpgJiiNSUyP7GwPEZeFdvkPWoeIbFySkOFsHxZ/ktwL9SjI0vEgogGqKTSgV4jpHWWqyPTYJIo5CUOLG1yNlppDSHxsDxGXiTcKktRnfDEbCpEolSTYYUlZtq5BRpJFSZAjBDi3M0ldhadOXUvzwjlw/HZw5TmZxzOCmVeeRtxFGaQ2Pg+Ay8yZuUShoBd3xD6RzSWT6nGFOqagBEld/SqaIC+HNwqFRteMGbL0aNgOsof46pVGqGOG/lX5RKJeJQ8XeK6dAajIHjM/AmxVESVkB06J/GGJ0UFSfFkc7mMJSm6TX6Me/PwLsvFbW1WC8glcoMACoOFW9DnMlpbSSIUJCG+q3nHBWndBQFjV/YgBsc8iZ3xUHDMw4FA065Om+eERXFwTv075UFKmPkfVwDtTkERChHWlGqhhr+TTepjZF/+oaenPKOGFPSGcbA8Rm4cxuIhcUBcV4VhQUJ8G8uxn6nmjBBr5HTHFLyGhmcRnjcuQ00xsgM8VQmhyEOJ9/btk2qlxHAvw9OD7E5BEQa4urHSGO3M+AGUWFxKsof4F8pRo/bwDdFRXFTdSo3OBnifQTlVBS3gco8TomEwFpj8VCOyUwO6Wy+pJ7KGHlXGJGUU84tGyh1ozYGjs/Au7sotR4xAP82+KyPB5VNlYX+ezm1T6emGIHJwcHhzW1gxiAVongg4PZQ4ZGmYvewLKAuQmMeRaWoSMmpIEOcRfhUwhg4PoMobgMFa5yBZ3VKKpPDYCG8HiewIAFXgdk2n/bp1FJwgDg5pVLqD/AP/ScKET1mAFMAz2ijl58SCKjvmg7wd6ZIGuJsjJwMcUdOCew3xsDxGXhzG6ilbwC+3r9346JiAERDAUQKXBkekTiKcyiq0R+VOQT4kzdZpJGKIQ7wHaPbkoLQ+DwRHNvmGE0l0lEc4B9N7XEMcfVjNAaOz8DbM6ZkjTPwzBn3eDz/IBGv0bIst0KFo2dMag45yymbR0rKn6ec5nI2qPUyAvg2paRZYZQfX87OH7tRLdjvFK+lM4e803A9TopK/TwKNXC6urqwatUqxONxxONxrFq1Ct3d3eN+5g9/+APOP/98NDY2wrIstLa2jrgmmUzim9/8JhobG1FXV4cvfvGL+Oijj8QMQjM4lRvc+CmFBUlIcfCsMkoQ8ja84ElupFaZAvAnb1JM3/AkGfelMmB0LEqy2iBATilFGmPhgOP48DAAXIeRzhh5k+EpOcVCDZwrrrgCra2t2Lx5MzZv3ozW1lasWrVq3M/09/fjzDPPxI9+9KMxr1mzZg0ef/xxPProo3jhhRfQ19eHiy++GNls9Ra27nByxhwWo23bHmtcvbAy8CTFUQqneuEeZMiDvEnHo2Lweo08iNQU55FntR8bXySk/oRmL/jKKb055H0YJcU0I08jFaDlFAvb8Xbt2oXNmzdj+/btOP300wEAv/zlL7Fs2TLs3r0bxx9//KifYwbQ3r17R/17IpHAr3/9a/zud7/DueeeCwB48MEH0dLSgqeffhrnn38+/8FoBJ6Lsd9zEjIFYWXg2a25h1BJoxdsk+dB/EsM0NlwGLxeel8qU7W3R8lrZOAZaWSKkdL4AL4pqgQhxejFlGgIicG0byPGPFNUQ+msc9YWhTEKi+Bs27YN8XjcMW4A4IwzzkA8HsfWrVsrvu+OHTuQTqexcuVK5705c+Zg8eLFY943mUyip6en6OVXsM0hwcGjYveIBN2DAymAZ0iV4oYDeMr9BzkacYTGGAsHESnIFDPAqoHDbSA0Rp6GOMUUHOA9jNKf0Q2A755KcS16+XDVRlO9pf4UKhqFaa329nbMmjVrxPuzZs1Ce3t7VfeNRCKYNm1a0ftNTU1j3nf9+vUODygej6OlpaXi76cORl7j0V3UG/a3LBoEXIBvlIrqpsqz/JaqZxzn5P0nM1nnrC2KioOLnBI04ADPeVQc5ZReNJVfbzGKkcai8/2qbEvh9BQjUupftoFz6623wrKscV+vvPIKAIyqFG3bFqIsx7vvunXrkEgknNf+/fu5fz8VTImEwOSq2k2HrNfIMSzeQ7AyBfCmqPwbpWKKrFrPmG2qVLxGBp5Gag9BxQgIUv7E5JRrBIegs+GNplYrq9QiVGXvBjfccAMuv/zyca856qij8Prrr+PAgQMj/nbw4EE0NTWV+7UOmpubkUql0NXVVRTF6ejowPLly0f9TDQaRTQarfg7dUIgYKE+FkZiMI3EYBqzGmIV34viYgTEpOGoGXFMUXMlbxJTjk4Eh5MhTsVrZGDR1GQhmloNOZgi2R/wElT9mWYE+MlpLmc7Dgu1/SZeE8bB3iQSg2nMnTbx9WOBmiFe9q/c2NiIxsbGCa9btmwZEokEXnrpJZx22mkAgBdffBGJRGJMQ6QULF26FOFwGFu2bMGll14KAGhra8Mbb7yBH//4xxXf10+I17gGTjWgGE4F/O9RAZzJmwRJxgC/eaTmNTKwaGrOzstZNQaOm2akpRjdFJWJ4EyE3mQGrFcgxT2VGTjVgFo6XBgHZ+HChbjggguwevVqbN++Hdu3b8fq1atx8cUXF1VQLViwAI8//rjz78OHD6O1tRVvvfUWAGD37t1obW11+DXxeBzXXHMN/v7v/x7PPPMMdu7ciSuvvBInnniiU1U12cFPcdDkp7Dn6R3KOFVelaKHYBM8wHMeVZWhf6/XSHUe/bapMgQClqOsq0/D0XQ23BSV/7li1ZLh2RxGiZX6A/yiVNRaUggtjXnooYdw4oknYuXKlVi5ciVOOukk/O53vyu6Zvfu3UgkEs6/n3jiCSxZsgQXXXQRAODyyy/HkiVLcP/99zvX3HXXXfjSl76ESy+9FGeeeSZqa2vx7//+7wgGaQmNKvBWHFSElcG7AVYbGqfqNbKGjdVuOEVeI9F5rNb7p6r8Af9HqXj2UCFL+OcUTaVqwAEc5ZTYWhS6402fPh0PPvjguNcMP9/j6quvxtVXXz3uZ2KxGO6++27cfffd1T6iL8HNGie6IMPBAGojQQykskgMpjG1NlLxvXqJjrGhho/iYHMYCwcQDdFyAHhvqtTmEPD/GL0H32ZzdsXHndi2TbJZIyBA+RMbH+BfOaXT3MSAG5innjCe8YRwPWNa0Q1eoX/KXiO39A2xsLgX/BQHzVSq93DTavpSDaVzSGXzpf7UZJWfnNJdi36NNBoDx4cwC7I02LZNlkjNi7w5GQycyTBGqoZ4JBRATYFPUo0xzn6fYMBCXcSfkUaqfX4AjnLqGOI0xmgMHB+CPwfHn4pjKJ1DOkvvKArA3SBS2eoaNk6KKNwkGCNlI66eQz8j75EplJqKAvyjcBTn0B0jJ4eKyGnpxsDxIXh1iNVjQVa/qQYDFmqJeY11noaN1YyRsmLkJafUNlUvJoMR55BwfSqn7Dev9igDyg4j9xQVETk1Bo4PwT+kSkNYveAxRm/ImJrXGAhYXMdIUXHwK031t5xmsjn0p/JRPIrKcSoPOSXaqwlwn8m2qyP9+z3lD9AjUhsDx4fgrTj8uiCpLcbhYNVhXEL/BMfoTTMOr6YsB3434rzHIFDhNngxtRA56/apnHp5RnwcKnpj5N1VnMpaNAaOD8EWUDWLMZ3NYcDxGultqnwUB63FOBzsubqraDCmQ1g8nbUxWBXPyN9VVEzG6yJBhIL0tux4TfWGOGU5BfjOI8X9hlfRBrXGqfRWi0HV4LkYgeJSUCpgXqNfPSrA4xkPpCq+R4Iwj6ouEnT6pvg9DccjCkdxfIBXTv05hwDnlDjBMcY5RFMHUlmnszwVZ8MYOD4EE9aBVBbpQm+JcuE9wLDS5l0iwceIo+v5A5zTcARTG5ZleSJxlXEbcjnb6WZN0VD1u2IEvBycyg1xqn1+GHj0pdKhX1M2Zzt8r3LBfptw0HJSeqphDBwfwrsRVprCoXp6MQOPMnHKIWPAVRzGMx4bfakMcs5RFPTGyNUQJ6r8TQSnNFAeYywcQKSQ/qx0jN6IOJWiDWPg+BDBgIX6aHW9Kah7jXyrqIiOsUAy7q7KM6a7qQLVG6psfBGCBxgC7viG0jkkM9V5xlTXYsMkMMR5OlQU9xvL8hwMW+E8uhFxOuMzBo5PwUtxxAmGUwE+J/xSVxw8IjjUx9hQZZM46oqxPhqCVWU/I6qH3jJMdQxxHnJKc4zVOlRD6SySmcJRFAT7NQHuXl+tzqC01xgDx6eo1sAhH90ojK+3iuZbFD0OL6olUnuPoqBqAFSrOKi1hh+OQMBy1lDF6WLia9Hh4FRBhqceaaxaTgsGnGUBUyI0ZbXaMVI8isIYOD5F3CHFVUbepF65waP5FsUF6UW13IbBdJbsURQM1Zb7UzfgAH6Kg+oYefTBoT5GnkZqgGDRBuDPtWgMHJ+CmzVOSFi9CAcDzvEKlY6xq+BxTiuE2Kmh2v4iLLpB8SgKBl6eMVU5BaofIzNwpxFNbUwtyOlAKls5z4h4lKr6/ZRuBRVD9XJKbz81Bo5PUa01Tn3DAfgpjqlUFUeVfXC8HhWVqobh4CWnlLzG4ahaTgsk86mEFIcX9bHqeEZpz1EUVOfRyOnEYBE8SvupMXB8imq7GXf1F7zGOjrCOhy8FAclj8MLxm3oGco4DbTKAcWQ8XBUyxVjUbiphMdYLSGerUVKisOLonPTKhhjcVNRmhGOeJV8OOrRYqD6/bTLcRjpjNEYOD5F1ZvqAG2vEahOOQ6lsxhK56saqCqOavsZUecYAf7cVIejwalOqYwrRjH0PxzVHLjJPjMlGiJ5FAUwWeSUT4qKkrNBU5oMqka1Hgf1vD9Q3abDDLhQwMKUKE0DIBwMOM9WCYFTByOVX96frpxWrTgIhv6Hw+nZVIFD1UU8VQx4SMZDmYqOMqCo/IeDG1eMUNTfGDg+xdQqm8T5PaTqDftT5acA3gM3y59HHZR/tRU4birVn3KazGSdQ291MFQrmUctIlS17lEGvcnyI3FdGqzF6qNU9BwqY+D4FGwhMQVQDmzbJk/ABapbkNSJmwzVGABdA/SV/zTH809V5BlT3FSHoyo5LcxhMGCRTjVOrcIQ10FOY+Ggc75SdwV7qg4pqmqJ1I7OIBSlMgaOT8EUR1cFG85AKotU4ZBO0l5VVdENeotxNDjN/ioI/evgGbNnS2dt9FXgGeuQSmVjrOQwSjY+ypVwQHVNKXWINALu8x2uJppKKH0zHFOr0BnpbM5Zv5T2G2Pg+BTMG+oeSJftGTMBj3h6zVAEG2MlC1IHzx9we4xUYsQd7qevOGoiQcTC+W2oMv6GPkYcm49y4Mop3TkEqjtWxJVTunMIVLnf9NOP4DDjKzGYLrtqk827ZdHqSWUMHJ+CKbWUp8dEqfCmpyh7jdPZhlNByFgHzx9wyeLVpKgob6pA5QbAYMo934eyAeDIaUVROCantOfQPRjWnyRjwBMVr8BQ1SmamrPLT1Ox6GRDLIwgoU7NxsDxKWrCQURD+ektd0Hq4BUDHsVYVciY9hirKb9lY5xOfIyVplMZj4pyJRzgGtHdA6myz03TofoGqDZdrImcVmGodmngUIWDAdQX1lG5eyrV8RkDx6ewLKtixaGNR1XHiNSVExspN8EDqutnpN08liunnrA/5UjjVK9nPFTePOoShauGg6NLuthrqJaDoXQWg2n6lXCAl9pQ7lrMXx8nNj5j4PgYlXocOoRTAWC6x4Ar3zPWI/RfaRWVbdvOpkN9jG7ov1I5pW3ARUIez7hMY9yt9qM9xmoOhnVK/YmPsdJUKjP6qFfCAa7OOFzuWhykOYfGwPExKvU4dDimASj2jMs9UVwX5RivkGTcl8wgUzD6dDFwypZTTYxUoHKCarcmyr9SOQV0SolXZsR5jxOhHGkEgOm1lUXFqaZSjYHjY7jWeGUcHOrh1EjI7fRbfs6YhVRpLcjhqNQzZtfHwgHUEK6EAzxyWuEcUo9uAJV7xrqsRTYHvcnyzk3z9tyizoereD8lfpaYF5WvRZqpVGPg+BhOs7+KU1Q6LMhCb4qyPQ49vP/KeVR6eMUADznVaYzlpqj0UI6MK2bb5fFwintu0R5jxWR4reS0skoxqvupMXB8jOkVCitVa3w0VDJG27Y9OWPaY2SVJd2DaWQKiqAUaDWHdVXKKfFUKlD5WtRFOYaDAYdfcrg/WfLnnJ5boYDTKZgqpleYZtRxLZbvMNKMpgo1cLq6urBq1SrE43HE43GsWrUK3d3d437mD3/4A84//3w0NjbCsiy0traOuOacc86BZVlFr8svv1zMIDRGpZ0pddlUgcpCqt4wOrUFORzMq7Xt8iIcTJFO10D5u3JaWfrGr3IK6FMJBwCNU6IAgM6+0sfI0jfTiVfCAe4cdJXZPFWHc6gYplW5FqnJqVAD54orrkBrays2b96MzZs3o7W1FatWrRr3M/39/TjzzDPxox/9aNzrVq9ejba2Nuf1i1/8guej+wIsfVM+KU4PYiNQGUH1cGEDro0EESPuNYaCAbdFfBlelS7cDcB7blqlYXH6clpJlMpbCTejLirkuXiiEu+fqmIcDWx8qUzOOQC1FOjScwtwHaJyneLDROVUWM3arl27sHnzZmzfvh2nn346AOCXv/wlli1bht27d+P4448f9XPMANq7d++496+trUVzczPXZ/YbKi1r1Es5lk/ePMQW4xT64wPyG2vXQBqH+pMA6kv6jI5GaqU8Ix3kdGoFPKOeQU8lnAaROGYAHKrAwNEhClcTDiISCiCVyaFrIIW6EptL6hSFq5SDc5joniosgrNt2zbE43HHuAGAM844A/F4HFu3bq36/g899BAaGxtxwgkn4Fvf+hZ6e3vHvDaZTKKnp6foNRlQSXQjlck5JdczdPI4yliQh/ryHAFq3sZYYM9ZjqGqY5oxmclhsAzP2PUa6Y+xEg5OZ4HLUh8LIRqiHWkEgBmFFBVbX6XAraCir/zzzVPLj4qz36NRg/2mklRqNmeTNXCERXDa29sxa9asEe/PmjUL7e3tVd37a1/7GubPn4/m5ma88cYbWLduHV577TVs2bJl1OvXr1+P2267rarv1BHTKxBWJqjBgEW+yy/geu/ljJF5mI3EFuNYYJvGoTK4DWwedYhu1EWCiAQDSGVzODyQwhGRmpI+19lbUBxT/Kk42HzrMD7ANTTLMcR1klMg7zAc6EmWNUadIsbMIUoUihpCwYljIN0DKbDOANOJzWPZEZxbb711BMF3+OuVV14BgFFJY7ZtV00mW716Nc4991wsXrwYl19+Of71X/8VTz/9NF599dVRr1+3bh0SiYTz2r9/f1XfrwtYSHQoXbpn3OlENyIIEDo0bSxUwm3QLYJTSejfVY60NpzRYFmWm8IpcYyDqaxziKwOiqM6OaU/PqAyOWX7jS5GXCXpVLYWZ2gwxqm15Zf7H3KM1HBJBpFMlB3BueGGGyasWDrqqKPw+uuv48CBAyP+dvDgQTQ1NZX7tePilFNOQTgcxrvvvotTTjllxN+j0SiiUfrCxRtToiEnZ9zZl0TL9NoJP+MYOBosRqCyAzdZlcd0DRQj4PWMSw/9s3mcqck8zpgSRUdv0nnuicCu8zZ7pAyvZ5zN2SWduNypkecPuM95uIxIoyuneo2x1Eox27Zx0DHi6I+Rlfv3DGXQNZAuSQ90EjbEy94ZGhsb0djYOOF1y5YtQyKRwEsvvYTTTjsNAPDiiy8ikUhg+fLl5T/pOHjzzTeRTqcxe/ZsrvfVHZZlYeaUKD7uHizZwNHJ8wcqq9w4pBF3A6hsjLoZqo1lKg42hzOnRMmXFwOuZ5wreMalnJx9SLM5ZBHRQ2UY4rql4dxS+NLG2JfMIJXJ96/SKWLcM5Qpeb+hHKESFk9auHAhLrjgAqxevRrbt2/H9u3bsXr1alx88cVFFVQLFizA448/7vz78OHDaG1txVtvvQUA2L17N1pbWx3ezvvvv4/bb78dr7zyCvbu3Ysnn3wSX/3qV7FkyRKceeaZooajLRrry+tNoVvImCnG7oE00iU2wjuk2RhnlNlfJJ3NOZUbuhiqM+vLUxyMf6NLdCPsKfcvdYyO4jCGOBk4ctpbaqQx/1vURYLkj0xhmFGmEXeIcIRKaMLsoYcewoknnoiVK1di5cqVOOmkk/C73/2u6Jrdu3cjkUg4/37iiSewZMkSXHTRRQCAyy+/HEuWLMH9998PAIhEInjmmWdw/vnn4/jjj8eNN96IlStX4umnn0YwqIcAyQQL/R4scUHqFt2YVhtxwv2lknBdj0OPMZZL3vQSxXWoogLcVFrpcqqXkQq4z1ruGHVZi2w9dQ2kkSvxPKpOzSLGjpyWq/zr9ZHTctci1R44gMAqKgCYPn06HnzwwXGvGd4R8uqrr8bVV1895vUtLS149tlneTzepEC5IdVOzRZkIGBhRl0EHb1JHOxNojkem/AzruLQY4yMK1SqgcM2pumaEMWBSuRUL0McyHv/73b0law4OgmH/kcDM6azORuJwfSEje2G0ln0JfMtKXTZbxrrWSrV33IKlDFGwlwxWpRnA+6YLIoDAA72DU14bc7Ts0EXr9F7Bk4pJzXrlmYEKlEceqU2gPIVh8vB0UNOIyH3PKpSeDjM0IuEAqjXgCgOePbT3vJS/jrKacmRRsJjNAaOz+GSN8vNp9IT1rHg5sUn3nS6B9NOzwYdWqcDbm+J/HlUE49Rt7A/UL7i0I0MD1SSotKLgAt4m/2VIqdupZ8ORHHAnYtD/cmS0nC6kaiBCuSUjZHgfmoMHJ+jsQzlD2jq/ZeRF2cG3NTaMMLEejaMhVAw4FThlJKm0q1EHKgilarRGMvxjNPZnNMtV6doajl8MR0NcRZNS2ftkvrEdBIm4I6FsiONzsG+9Maoxw5vUDHKURy2bWtHwAXKUxw6puAA93lLqd7QrcIIcOfw8EAKmRKq4bSU0zIMcdYQ0LL06fILePvElLIW6aY2xkI0FHQ6vJcyRt2I4kD5KSrK82gMHJ/D5adMLKzew/0oWuNjoRzF4Ww4BBfjeGhqyJOnO0oy4vSLbkyrjSBg5dNwpTRt1LKKqgJDfLqnSlAHzKovQ0579YtuAO7zlrLfOFEqTUjUQLHOGF4ENBzeswspzqMxcHwOpgB6hzIYSo9/XANbsPWxEGJhfUruy1Icvfp5VIBr4BzomZhIrSN3IxiwML2utHQq5cP9xsPMMqKpzIDTydEAgKaG/BjbE/6UU8AbFS89XaxLxSbg7o2lpOGYnIYCFhpi9M4uNAaOz9EQCyFS4JpMtLHqSDAGPIqjBAOHeZazNPKoAGAWUxwlGDjM0NPJawRK94y7Cof7WRa9w/3GA/OMD/VPnIbr6Mn/Bsyw1QWOIV7CWjyo6X7TWEazPx3J8LFw0KmGm0hnHCjI6cz6KMmWFMbA8Tksyyq5Db5OZ6Z4UU4aji3IphL65VBCEwv995QRFtd0HidSHMyAm1YbIXe433iYXudJw01Awj3QmzdkmWGrC5xUagmGeKemhnipKfGhdNaJgOhmxLG1OFGqkUWUqRri+uwOBhWjVI+DhZWpCutYYIuxlDRcR0FxMINBF7AGhhOlqPLpG/2qqIDSCfHtxDfVseBNw02kOJgh26zZGMtJpTpcMc3ScI7DWKIhHgm5VZC6oNRS8Q5nLdLca4yBMwlQqsfBNiXdNlVvGm6iBUnd4xgLbANhnv1Y6OxLImfnlaluROpSqzcOJJic6jU+oPQSXN3ltGsgjWRmfGdD12hqqRHjds9+qkufHwZXTieINBJPpRoDZxKAbSATEf/amdeo2YZjWVbJm467IPVSjqw65UDP+JUNbI5nTolqVX0DuJvkRDwjR3FoJqdA6UZcO3HPeCzEa8KIhPJqZbx0au9Q2jmmQTeHalaDuxbHQ3tCT4cRKMPZIG6IGwNnEmB2Q2kGDvOMZxEV1vHg5IzHUY7enLhuY2RcjFQmN25lQ1tCX+U/u0RDnG2qszRLMwIuuX2iFA4zDnSTU8uyHIU+3hjZ3+pjIdRpckwDw5x4DQCgPTE47nWOnGpmpAKecv8J5PQA8aINY+BMAjBl11aqZ6zZpgoAc6bmn/mT7ok31RpPlYAuiIaCmFbI448X4WBjnK2hgePI6YQGjp6RRsCdl/HGmMvZLldMw7XopFPHiXC0J/J/01lOuwbSGEyNnYbTNeUPuPPyyQRGXIeJ4BioxuwSPA7btrU2cNgY28YZozc9pVtOHPASOMdWHG2aEsUBd1M90DM07jk/Oof+XTkd28DpGkghnc2PXzeiOOBN4Yw9RrZOdZTThlgItZF8n7DxnA1dU/5AaYY4YFJUBgRQimecGEwjlcn35tAxpOp6HONtOPqm4IDSKlR0juDMnBJFwAIyORud45xGTX1THQ+znUjj2IY4k9MZdRGHz6ITmuonllNmpOoop5ZlefbUcRwqjZ2NOVNdQ3wszt9QOouuwnlpVLli+q0eg7LBFmPvUMYh9g0H21Sn1Ya16mLMwBbkePyNj7vym9ERhWt1A9tExsuLsw1XR68xFAw4uf+x5jGVyTkdcKluquNhTgkRHEdOp+ktp+MaOA5RXM8xlsIX07WdAZB/ZssqXm/D8XHBSK+LuOdzUYMxcCYBpkRDqC9wTsZakGxTna35htM2jmf8cfcAAGCutopj4kiczukbwDXMxuJSschHLBzQ7hgDwI3gJAbTGEiN7mwwxaGvIT5xNZzucjpRqjGbsx1nQ0dDNRIKOL1w2sZYi15DnGrK3xg4kwTNDeOHVPcfziv/lun6LUbAjeAc6E0iOwZ/4yPNIzjsudk4hiOXs50U3RxNx8jI4mPJKRv73Gm1ZDfV8dAQC2NKoWpoLCPuY2eMes4hU+hjySngGnHM4NMNsydIUXX0DiGdtREKWGgiWmE0EeZMQDT2rkWqMAbOJAHbLPcfHl9YWwgL63honBJFKGAh66lAGQ7dQ/8t0/Nzs79rYNS/d/QmkcrkEAxYWnIbgImNuI+69I7CARMrR90N8SMLctqWGEJ6lDO3bNt2HCp2rW6YWE5dA06n40S8cHg4Y0TFWUScspzq+csblA22kew7PLpy/EhzrzEYsBxvcLRNx7Ztx2uk7HGMB2Z8ftQ1OGqVETN8jphao+2mOpGcsjHqaogDE0c4nBSVpmOcOSWKSCiQT9OMEqXqGkijP5WFZdFWjuNhQjk9rL+cMgNn/1hyqoHDqOcuaFA2HO9/IsWhqUcFAEfNqAMA7O3sH/G3roE0Bgo9K3SNbsyeGkOgQPwbrWPzvkN6pxkBV/7YWIZDd0Mc8MjpoZFyCsBjiOs5xkDAciPGo0QbmVHQVB/TsqABcOX0o8ODo6bE/SGn+TF+OMZa1IErZgycSYJ5hU31w8Ojb6o65FMnAvOqRluQzNuYWR/VdlMNBwOuVzWKobpP87A/4MrpvsMDo5anulwxncdYkNPOkXM4kMo4J41T9ownAotc+FVO50ytQShgIZXNjVot5qZS9R2jozPGMMQ/MhEcAyo4chzPuGco7bT/19vjGNsz3lN4b57GmyrgKo7RQuP7fbCpHjG1BpYFDKazox705w/PmDkbI+dwTyH6OK02jIYYzdLbUsCiiKNFcJjRM1fjSGPQE6UadS0WuI46R1OP8jgbw1Pig6msU0E2v3AdRRgDZ5KALbSeoQwSA8VnGe05mN9UG6dEtTsXxgvmGY+24bzf0QcAOGbmFKnPxBtsHkeLUulO3ATy5amsV8y+YdHG3qE0Ogpn38ybTndTnQhHOqH//hFRqvcLa1F3OR0vmuoHOQWAI5kBMMoYP+jM7zfzCCv/iTBnagyhgIVkJocDwwo32Pim1YYxjXC7BmPgTBLURkLOgZR7hkU43i0o/2Nn6b2pHtWY30z2dI5UHB8UPONjZum74QCu4nvvYN+IvzHleJTGmyrgKr69w1I4bHyz6qOI1+ob3Zg7rQYBCxhIZUdwqT446A9D3JHTjtHkNP/e/Ebd5TRviA+PGPcMpZ3jVD6l8Z4aCgacKNVYa5G6nBoDZxKBGTDvtPcWvc82IZ0XI5BXjJaV79g8vPsmi+Ac3aj3GI9rqgcAvHugeA47+5I43J+CZek/j8c2FeR02BjZmHUfXzQUdLhULHrKwBTH0TP1Vv7HzsrL6QcH+5HxlIrbto3dhf2HXaMrPjVzdDll+2lTQ1TrNCPgRqD2DCvcYIY4dTk1Bs4kwvHN+Q1l94gFWdhwmvRWHLFw0OHYvN3mjjGXs50FeozmypHN0Z7O/qIeI8xonTe9FjURPUnUDExO3x5uiB/0R6QRAI5vGn2Mfkmlzp1Wg5pwEKlsrohr1NGbRM9QBsGARV45ToTjmxsAjLaf+sNhBLxrsafofRPBMSAHtqnuHiuCQ1xYS8HC2flNZ1ebuyA/SQxiMJ1FOGihRWNyKpAn4dZFgkhn7aLqBrbJHtukt1cMAAsKm+oIz/iAfxTHojl5OX3rE1dOsznb4TborvwDAcuZJ2+0ke0982bUalvNyMDkdP/hwaIz/t730X66aPZIOQVcnXE08TEaA2cSYTTPeCCVcUi5n9I8ggO4C9Jr4Lz+UQJAPr2jawM8BstyFcc7B1x+A/v/431g4DAjrS0xVESIZ3L7Kc1TG4DHEPd4xu929GIonUNdJKg1OZXBTTV65TQ/h36Q02l1Ecwq8Bq9xvguJqc+GCOT07fbe51KqsFU1hnvCQVDnSr03u0NygLjb3T2JXGwUI3Sur8bOTt/7gg7yVlnsAX5lsfAad3fDQD4dMtUBU/EH4vmxAG44wKANz7OG3HMiNUZDbGw0zyMzeOBniF83D2IgAWcODeu8vG4YJFHcTCOymuF+TxxbhzBgH7nbA0HG6NXTv/qIzkFgAXDHKpczsbOfV0AgCU+2G+OnlmHSCiAvmTGKfl/85MEsjkbs+qj5JumGgNnEqEuGnLCqi/tOQwA2LE3vxhPmTdN2XPxxAlH5Decdzv60DuU9/5b93UD8I+B85mj8nPF5rBnKI03P0kU/jZd2XPxxKePnArAI6cf5uV0QXODc1ilzjhyei2mRENIZXJOZMo1xP2xFpksvrL3MHI5G7Zt48UP8vN5ml/ktLCnMDl972AfeocyqAkHnb1WZ4SDASfaxuST/ffklqnkD7wVauB0dXVh1apViMfjiMfjWLVqFbq7u8e8Pp1O49vf/jZOPPFE1NXVYc6cObjqqqvwySefFF2XTCbxzW9+E42Njairq8MXv/hFfPTRRyKH4hssO2YGAGDr+50AgB0Fb2OpTwyc2fEaHDWjFtmcjW3vH0I6m3O8xiUFpak7mOJ44+MEBlIZ7PiwCzk7z2toJu5RlYrlBTnd9kFBTj/0l5wGAhZOn5+fx+ffzY9xp2OI6x+hAvLpi9pIED1DGew+0Iv9hwfR3jOEcNDCkiP9MY/Ljmb76SHYto1XCg7jp1umap8OZ2A6w5FTjSLiQmfgiiuuQGtrKzZv3ozNmzejtbUVq1atGvP6gYEBvPrqq/j+97+PV199FX/4wx/wzjvv4Itf/GLRdWvWrMHjjz+ORx99FC+88AL6+vpw8cUXI5vNihyOL8AW5Lb3DyGZyToRnFPn+cOjAoAVx84EADz37kG8vPcwBtNZTK+LaF8izjB3Wg2aG2LI5Gzs+LAL2z84BACOwvQDmJy++mE3htJZ/N/38purXwwcAPjscQU5fecgDvQM4e32XlgWsNQnazEUDOCUgiGz/YNDjpyeNHeq9pV+DEuOnIpoKICDvUm819HnOI6+ktNjXTlNZ3N4oWDonKbBfiMs1rtr1y5s3rwZ27dvx+mnnw4A+OUvf4lly5Zh9+7dOP7440d8Jh6PY8uWLUXv3X333TjttNOwb98+HHnkkUgkEvj1r3+N3/3udzj33HMBAA8++CBaWlrw9NNP4/zzzxc1JF/g9KNnIBSw8EFnP+7/ywfoTWbQ1BAlTxYrB589biZ+t/1DPLOrA+lMnhj3N8fPQsAHvAYgTzQ+5/iZePTl/fhj6yd4cU9ecTDDzg+Y31iHOfEYPkkM4f5n38fb7b0IBiycfZx/xsgMnFc+PIx/3roXQN4rZg05/YBzjp+JF97rxL+/9onTJX3FsY2Kn4ofYuEgTps/Hc+/24nfv7Iff367AwBw7qImxU/GD6ceNQ014SA6epO450/vITGYxtTasBYcI2ERnG3btiEejzvGDQCcccYZiMfj2Lp1a8n3SSQSsCwLU6dOBQDs2LED6XQaK1eudK6ZM2cOFi9ePOZ9k8kkenp6il6TFfGaMFaekF98dz39DgDgvy+Z6xvlD+Q30Ol1EbQlhrDplf0AgEuWzlX8VHzxlcJ4/nXHR9h/eBANsRDOXeifTdWyLGeMG55+FwDw/yyYRbotfLmY31iHk+fGkc7auPcv7wPwn5x+4eQ5CActvLqvG8+/24mABfz3JUeofiyuYHP2y+f3oD+VxTEz8/PqF8TCQVy4uBkA8NNn8mvxy0vmapGCE/aE7e3tmDVr1oj3Z82ahfb29pLuMTQ0hO985zu44oor0NDQ4Nw3Eolg2rTiEGBTU9OY912/fr3DA4rH42hpaSlzNP7CmnOPQzSUn/rGKVFcc9Z8xU/EF7FwEDefd5zz73OOn4kzjqYfTi0HnzlqepFBc/N5x/km7M9wzVnznTLcaCiAtZ459Qv+4YIFYDzN45qm4Cun+MvAaWqI4Zqzjnb+feUZ83xRAu/FRSfOxkkeg+Y7Fy4kT74tF9/83LGoK+wv02rDuO7soyf4BA2UnaK69dZbcdttt417zcsvvwwAo06ybdslTX46ncbll1+OXC6He++9d8Lrx7vvunXrsHbtWuffPT09k9rIOa6pHk/ccBa2vt+J8xY1+SokznDl6UdiTjyGQ30pfOHkOb7bcADgniuW4N92foxZDVH8zfEjnQndMbU2gn/7xpl4etcBnDZ/OhY0+yeNynDmpxrxr9ctx9vtPbhw8Wztm9+Nhn84/3gsPqIB2ZyNi0+ao/pxuCMUDOB315yO/3i9DcfMrMPpBf6YnzC/sQ5/vOEsbHu/E2cfNwuzGvQoZijbwLnhhhtw+eWXj3vNUUcdhddffx0HDhwY8beDBw+iqWn8UHo6ncall16KPXv24E9/+pMTvQGA5uZmpFIpdHV1FUVxOjo6sHz58lHvF41GEY36T4lXg+Ob633Ti2I0WJaFz/koZTMaYuEgLj/tSNWPIRRzptbgqmVHqX4MoVg6b5qvSKnDEQhYvjRsvIjXhHHF6f5ei5+aNUW7LuJlGziNjY1obJyYJLZs2TIkEgm89NJLOO200wAAL774IhKJxJiGCOAaN++++y7+/Oc/Y8aMYmt46dKlCIfD2LJlCy699FIAQFtbG9544w38+Mc/Lnc4BgYGBgYGBj6EMA7OwoULccEFF2D16tXYvn07tm/fjtWrV+Piiy8uqqBasGABHn/8cQBAJpPBJZdcgldeeQUPPfQQstks2tvb0d7ejlQqfzp0PB7HNddcg7//+7/HM888g507d+LKK6/EiSee6FRVGRgYGBgYGExuCG0J+tBDD+HGG290Kp6++MUv4p577im6Zvfu3Ugk8o3YPvroIzzxxBMAgE9/+tNF1/35z3/GOeecAwC46667EAqFcOmll2JwcBCf+9znsHHjRgSD/stfGxgYGBgYGJQPy7ZtW/VDyEZPTw/i8TgSiUQRv8fAwMDAwMCALsrR3/QL2Q0MDAwMDAwMyoQxcAwMDAwMDAx8B2PgGBgYGBgYGPgOxsAxMDAwMDAw8B2MgWNgYGBgYGDgOxgDx8DAwMDAwMB3MAaOgYGBgYGBge9gDBwDAwMDAwMD38EYOAYGBgYGBga+g9CjGqiCNW/u6elR/CQGBgYGBgYGpYLp7VIOYZiUBk5vby8AoKWlRfGTGBgYGBgYGJSL3t5exOPxca+ZlGdR5XI5fPLJJ6ivr4dlWVzv3dPTg5aWFuzfv9+ccyUQ5neWA/M7y4P5reXA/M5yIOp3tm0bvb29mDNnDgKB8Vk2kzKCEwgEMHfuXKHf0dDQYBaPBJjfWQ7M7ywP5reWA/M7y4GI33miyA2DIRkbGBgYGBgY+A7GwDEwMDAwMDDwHYyBwxnRaBQ/+MEPEI1GVT+Kr2F+Zzkwv7M8mN9aDszvLAcUfudJSTI2MDAwMDAw8DdMBMfAwMDAwMDAdzAGjoGBgYGBgYHvYAwcAwMDAwMDA9/BGDgGBgYGBgYGvoMxcDji3nvvxfz58xGLxbB06VI8//zzqh/Jd1i/fj0+85nPoL6+HrNmzcKXvvQl7N69W/Vj+R7r16+HZVlYs2aN6kfxHT7++GNceeWVmDFjBmpra/HpT38aO3bsUP1YvkMmk8H3vvc9zJ8/HzU1NTj66KNx++23I5fLqX40rfHcc8/hC1/4AubMmQPLsvBv//ZvRX+3bRu33nor5syZg5qaGpxzzjl48803pTybMXA4YdOmTVizZg1uueUW7Ny5EytWrMCFF16Iffv2qX40X+HZZ5/FN77xDWzfvh1btmxBJpPBypUr0d/fr/rRfIuXX34ZDzzwAE466STVj+I7dHV14cwzz0Q4HMZ//ud/4q233sJPfvITTJ06VfWj+Q533HEH7r//ftxzzz3YtWsXfvzjH+P//J//g7vvvlv1o2mN/v5+nHzyybjnnntG/fuPf/xj3Hnnnbjnnnvw8ssvo7m5Geedd55zJqRQ2AZccNppp9nXXXdd0XsLFiywv/Od7yh6osmBjo4OG4D97LPPqn4UX6K3t9c+9thj7S1btthnn322fdNNN6l+JF/h29/+tn3WWWepfoxJgYsuusj++te/XvTel7/8ZfvKK69U9ET+AwD78ccfd/6dy+Xs5uZm+0c/+pHz3tDQkB2Px+37779f+POYCA4HpFIp7NixAytXrix6f+XKldi6dauip5ocSCQSAIDp06crfhJ/4hvf+AYuuuginHvuuaofxZd44okncOqpp+KrX/0qZs2ahSVLluCXv/yl6sfyJc466yw888wzeOeddwAAr732Gl544QV8/vOfV/xk/sWePXvQ3t5epBuj0SjOPvtsKbpxUh62yRudnZ3IZrNoamoqer+pqQnt7e2Knsr/sG0ba9euxVlnnYXFixerfhzf4dFHH8Wrr76Kl19+WfWj+BYffPAB7rvvPqxduxbf/e538dJLL+HGG29ENBrFVVddpfrxfIVvf/vbSCQSWLBgAYLBILLZLP7xH/8R/+N//A/Vj+ZbMP03mm788MMPhX+/MXA4wrKson/btj3iPQN+uOGGG/D666/jhRdeUP0ovsP+/ftx00034amnnkIsFlP9OL5FLpfDqaeeih/+8IcAgCVLluDNN9/EfffdZwwczti0aRMefPBBPPzwwzjhhBPQ2tqKNWvWYM6cOfjbv/1b1Y/na6jSjcbA4YDGxkYEg8ER0ZqOjo4RlqsBH3zzm9/EE088geeeew5z585V/Ti+w44dO9DR0YGlS5c672WzWTz33HO45557kEwmEQwGFT6hPzB79mwsWrSo6L2FCxfiscceU/RE/sX/+l//C9/5zndw+eWXAwBOPPFEfPjhh1i/fr0xcAShubkZQD6SM3v2bOd9WbrRcHA4IBKJYOnSpdiyZUvR+1u2bMHy5csVPZU/Yds2brjhBvzhD3/An/70J8yfP1/1I/kSn/vc5/DXv/4Vra2tzuvUU0/F1772NbS2thrjhhPOPPPMEW0O3nnnHcybN0/RE/kXAwMDCASKVV4wGDRl4gIxf/58NDc3F+nGVCqFZ599VopuNBEcTli7di1WrVqFU089FcuWLcMDDzyAffv24brrrlP9aL7CN77xDTz88MP44x//iPr6eidqFo/HUVNTo/jp/IP6+voRvKa6ujrMmDHD8J044uabb8by5cvxwx/+EJdeeileeuklPPDAA3jggQdUP5rv8IUvfAH/+I//iCOPPBInnHACdu7ciTvvvBNf//rXVT+a1ujr68N7773n/HvPnj1obW3F9OnTceSRR2LNmjX44Q9/iGOPPRbHHnssfvjDH6K2thZXXHGF+IcTXqc1ifDzn//cnjdvnh2JROxTTjnFlC4LAIBRX7/97W9VP5rvYcrExeDf//3f7cWLF9vRaNResGCB/cADD6h+JF+ip6fHvummm+wjjzzSjsVi9tFHH23fcsstdjKZVP1oWuPPf/7zqHvy3/7t39q2nS8V/8EPfmA3Nzfb0WjU/uxnP2v/9a9/lfJslm3btngzysDAwMDAwMBAHgwHx8DAwMDAwMB3MAaOgYGBgYGBge9gDBwDAwMDAwMD38EYOAYGBgYGBga+gzFwDAwMDAwMDHwHY+AYGBgYGBgY+A7GwDEwMDAwMDDwHYyBY2BgYGBgYOA7GAPHwMDAwMDAwHcwBo6BgYGBgYGB72AMHAMDAwMDAwPfwRg4BgYGBgYGBr7D/w/1JcVB5LjT5QAAAABJRU5ErkJggg==\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb deleted 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ODEDNNSolver(LightningModule):\n", - " def __init__(\n", - " self, ode, init_vars, init_coeffs, dt, solver=\"euler\", outvar=None, **kwargs\n", - " ):\n", - " super().__init__(**kwargs)\n", - "\n", - " if ode.keys() != init_vars.keys():\n", - " raise ValueError(\"Inconsistent keys in ode and init_vars\")\n", - "\n", - " if solver == \"euler\":\n", - " self.step_solver = self.euler_step\n", - " elif solver == \"rk4\":\n", - " self.step_solver = self.runge_kutta_4_step\n", - " else:\n", - " raise ValueError(f\"Unrecognized solver {solver}\")\n", - "\n", - " for name, value in init_coeffs.items():\n", - " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n", - " \n", - " self.ode = ode\n", - " self.var_names = ode.keys()\n", - " self.init_vars = {\n", - " name: torch.tensor(value, device=self.device)\n", - " for name, value in init_vars.items()\n", - " }\n", - " self.coeffs = {name: param for name, param in self.named_parameters()}\n", - "\n", - " self.dnn = nn.Sequential(\n", - " nn.Linear(1,10),\n", - " nn.ReLU(),\n", - " nn.Linear(10,1),\n", - " nn.Tanh()\n", - " )\n", - "\n", - " self.outvar = self.var_names if outvar is None else outvar\n", - " self.dt = dt\n", - " self.criterion = F.mse_loss\n", - "\n", - " def euler_step(self, prev_val):\n", - " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", - " for var in self.var_names:\n", - " pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * self.dt\n", - " return pred\n", - "\n", - " def runge_kutta_4_step(self, prev_val):\n", - " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", - "\n", - " k_1 = prev_val\n", - " k_2 = {}\n", - " k_3 = {}\n", - " k_4 = {}\n", - "\n", - " for var in self.var_names:\n", - " k_2[var] = (\n", - " prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * 0.5 * self.dt\n", - " )\n", - "\n", - " for var in self.var_names:\n", - " k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnn) * 0.5 * self.dt\n", - "\n", - " for var in self.var_names:\n", - " k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnn) * self.dt\n", - "\n", - " for var in self.var_names:\n", - " result = self.ode[var](k_1, self.coeffs, self.dnn) / 6\n", - " result += self.ode[var](k_2, self.coeffs, self.dnn) / 3\n", - " result += self.ode[var](k_3, self.coeffs, self.dnn) / 3\n", - " result += self.ode[var](k_4, self.coeffs, self.dnn) / 6\n", - " pred[var] = prev_val[var] + result * self.dt\n", - "\n", - " return pred\n", - "\n", - " def solver(self, nt):\n", - " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", - "\n", - " for n in range(nt - 1):\n", - " # create dictionary containing values from previous time step\n", - " prev_val = {var: pred[var][[n]] for var in self.var_names}\n", - " new_val = self.step_solver(prev_val)\n", - " for var in self.var_names:\n", - " pred[var] = torch.cat([pred[var], new_val[var]])\n", - "\n", - " # reformat output to contain desired (observed) variables\n", - " return torch.stack([pred[var] for var in self.outvar], dim=1)\n", - "\n", - " def forward(self, nt):\n", - " return self.solver(nt)\n", - "\n", - " def get_coeffs(self):\n", - " return {name: param.item() for name, param in self.named_parameters()}\n", - "\n", - " def fit(\n", - " self,\n", - " x,\n", - " optim,\n", - " optim_params=None,\n", - " max_epochs=10,\n", - " scheduler=None,\n", - " scheduler_params=None,\n", - " ):\n", - " \"\"\"Fits model to the given data by comparing the whole dataset\n", - " Args:\n", - " x (torch.Tensor): Original time series data\n", - " optim (torch.optim): Optimizer\n", - " optim_params: Optimizer parameters\n", - " max_epochs (int): Number of training epochs\n", - " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", - " scheduler_params: Learning rate scheduler parameters\n", - " \"\"\"\n", - " dataset = TensorDataset(x)\n", - " n = dataset.__len__()\n", - " loader = DataLoader(dataset, batch_size=n)\n", - "\n", - " if optim_params is not None:\n", - " optimizer = optim(self.parameters(), **optim_params)\n", - " else:\n", - " optimizer = optim(self.parameters())\n", - "\n", - " if scheduler is not None:\n", - " if scheduler_params is not None:\n", - " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", - " else:\n", - " lr_scheduler = scheduler(optimizer)\n", - "\n", - " for epoch in range(max_epochs):\n", - " for i, data in enumerate(loader, 0):\n", - " self.zero_grad()\n", - " loss = self._step(data, i, n)\n", - " loss.backward(retain_graph=True)\n", - " optimizer.step()\n", - " if scheduler is not None:\n", - " lr_scheduler.step()\n", - "\n", - " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", - " print(self.coeffs)\n", - " # Testing to see that self.dnns changes\n", - " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", - "\n", - " def fit_random_sample(\n", - " self,\n", - " x,\n", - " optim,\n", - " optim_params=None,\n", - " max_epochs=10,\n", - " batch_size=64,\n", - " scheduler=None,\n", - " scheduler_params=None,\n", - " ):\n", - " \"\"\"Fits model to the given data by using random samples for each batch\n", - " Args:\n", - " x (torch.Tensor): Original time series data\n", - " optim (torch.optim): Optimizer\n", - " optim_params: Optimizer parameters\n", - " max_epochs (int): Number of training epochs\n", - " batch_size (int): Batch size for torch.utils.data.DataLoader\n", - " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", - " scheduler_params: Learning rate scheduler parameters\n", - " \"\"\"\n", - " dataset = TensorDataset(x)\n", - " loader = DataLoader(dataset, batch_size=batch_size)\n", - "\n", - " if optim_params is not None:\n", - " optimizer = optim(self.parameters(), **optim_params)\n", - " else:\n", - " optimizer = optim(self.parameters())\n", - "\n", - " if scheduler is not None:\n", - " if scheduler_params is not None:\n", - " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", - " else:\n", - " lr_scheduler = scheduler(optimizer)\n", - "\n", - " for epoch in range(max_epochs):\n", - " for i, data in enumerate(loader, 0):\n", - " self.zero_grad()\n", - "\n", - " n = data[0].shape[0]\n", - "\n", - " if n < 3:\n", - " continue\n", - "\n", - " # Takes a random data point from \"data\"\n", - " ri = torch.randint(low=0, high=n - 2, size=()).item()\n", - " single_point = data[0][ri : ri + 1, :]\n", - " init_point = {\n", - " var: single_point[0, i] for i, var in enumerate(self.var_names)\n", - " }\n", - "\n", - " pred = {\n", - " name: value.unsqueeze(0) for name, value in self.init_vars.items()\n", - " }\n", - "\n", - " pred = self.step_solver(init_point)\n", - "\n", - " predictions = torch.stack([pred[var] for var in self.outvar], dim=0)\n", - "\n", - " # Compare numerical integration data with next data point\n", - " loss = self.criterion(predictions, data[0][ri + 1, :])\n", - "\n", - " loss.backward(retain_graph=True)\n", - " optimizer.step()\n", - "\n", - " if scheduler is not None:\n", - " lr_scheduler.step()\n", - "\n", - " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", - " print(self.coeffs)\n", - " # Testing to see that self.dnns changes\n", - " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", - "\n", - " def _step(self, batch, batch_idx, num_batches):\n", - " (x,) = batch\n", - " nt = x.shape[0]\n", - " pred = self(nt)\n", - " return self.criterion(pred, x)" - ], - "execution_count": 3, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "vhzCXiGS7vcj" - }, - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs, dnns):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs, dnns):\n", - " return 0.8*torch.cos(0.5*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", - "\n", - "def t_prime(prev_val, coeffs, dnns):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2}" - ], - "execution_count": 4, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "0-Om8KZe7zHS" - }, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "NwF7ddNl71cq" - }, - "source": [ - "ode_solver = ODEDNNSolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\"\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ], - "execution_count": 5, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 265 - }, - "id": "UnDf8azV8W0p", - "outputId": "6eca4784-0e7d-4537-95d8-94ec220d1156" - }, - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ], - "execution_count": 6, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ObTghBli7-no" - }, - "source": [ - "# Euler's method for training" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "87VAZZtR7-n1" - }, - "source": [ - "def x_prime_prime_train(prev_val, coeffs, dnns):\n", - " return dnns(torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" - ], - "execution_count": 7, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "dTx1Q0PV7-n2" - }, - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0.}\n", - "ode_train = {\"x\": x_prime, \"x_\": x_prime_prime_train, \"t\": t_prime}\n", - "\n", - "ode_solver_train = ODEDNNSolver(\n", - " ode=ode_train,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\"\n", - ")" - ], - "execution_count": 8, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "67eN5ZyB7-n2", - "outputId": "1588284b-d8f3-42ed-ff4e-0428b39394e8" - }, - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.02},\n", - " max_epochs=20,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", - ")" - ], - "execution_count": 9, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(6.2093e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1419, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.1420, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0721, requires_grad=True)}\n", - "DNN(1) tensor([0.2365], grad_fn=)\n", - "Epoch: 1\t Loss: tensor(2.0705e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2516, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1099, requires_grad=True)}\n", - "DNN(1) tensor([0.1373], grad_fn=)\n", - "Epoch: 2\t Loss: tensor(2.1068e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2731, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2960, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1083, requires_grad=True)}\n", - "DNN(1) tensor([0.2051], grad_fn=)\n", - "Epoch: 3\t Loss: tensor(2.6809e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2646, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3165, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0769, requires_grad=True)}\n", - "DNN(1) tensor([0.3410], grad_fn=)\n", - "Epoch: 4\t Loss: tensor(2.4307e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2557, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3321, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0659, requires_grad=True)}\n", - "DNN(1) tensor([0.2867], grad_fn=)\n", - "Epoch: 5\t Loss: tensor(2.1748e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3312, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0237, requires_grad=True)}\n", - "DNN(1) tensor([0.4414], grad_fn=)\n", - "Epoch: 6\t Loss: tensor(2.6169e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1903, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3348, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0237, requires_grad=True)}\n", - "DNN(1) tensor([0.3845], grad_fn=)\n", - "Epoch: 7\t Loss: tensor(1.6772e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1749, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3486, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0295, requires_grad=True)}\n", - "DNN(1) tensor([0.4565], grad_fn=)\n", - "Epoch: 8\t Loss: tensor(3.1222e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1566, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3485, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0641, requires_grad=True)}\n", - "DNN(1) tensor([0.2051], grad_fn=)\n", - "Epoch: 9\t Loss: tensor(5.5046e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1387, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3774, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0270, requires_grad=True)}\n", - "DNN(1) tensor([0.4718], grad_fn=)\n", - "Epoch: 10\t Loss: tensor(8.6054e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1340, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3802, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0232, requires_grad=True)}\n", - "DNN(1) tensor([0.4493], grad_fn=)\n", - "Epoch: 11\t Loss: tensor(1.7816e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1227, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3761, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0155, requires_grad=True)}\n", - "DNN(1) tensor([0.4175], grad_fn=)\n", - "Epoch: 12\t Loss: tensor(1.5981e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1157, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3760, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0098, requires_grad=True)}\n", - "DNN(1) tensor([0.4440], grad_fn=)\n", - "Epoch: 13\t Loss: tensor(1.0512e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1122, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3779, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0064, requires_grad=True)}\n", - "DNN(1) tensor([0.4677], grad_fn=)\n", - "Epoch: 14\t Loss: tensor(1.4457e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1096, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3788, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0031, requires_grad=True)}\n", - "DNN(1) tensor([0.4644], grad_fn=)\n", - "Epoch: 15\t Loss: tensor(1.2071e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1031, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3770, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0009, requires_grad=True)}\n", - "DNN(1) tensor([0.4661], grad_fn=)\n", - "Epoch: 16\t Loss: tensor(1.5328e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0963, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3764, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0040, requires_grad=True)}\n", - "DNN(1) tensor([0.4691], grad_fn=)\n", - "Epoch: 17\t Loss: tensor(1.4537e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0909, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3771, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0068, requires_grad=True)}\n", - "DNN(1) tensor([0.4822], grad_fn=)\n", - "Epoch: 18\t Loss: tensor(1.4585e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0887, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3810, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0104, requires_grad=True)}\n", - "DNN(1) tensor([0.4979], grad_fn=)\n", - "Epoch: 19\t Loss: tensor(1.1779e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0851, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3836, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0162, requires_grad=True)}\n", - "DNN(1) tensor([0.5046], grad_fn=)\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 266 - }, - "id": "IOMjwKY27-n2", - "outputId": "1e8218d2-8200-4b08-9ae5-ec7152cfe18d" - }, - "source": [ - "result = ode_solver_train(1000)\n", - "\n", - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ], - "execution_count": 10, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "9adPvysOrfMr" - }, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "kwktnR93ripb" - }, - "source": [ - "ode_solver = ODEDNNSolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\"\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ], - "execution_count": 11, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "aVYankyRrwoW", - "outputId": "bc16f6f1-c234-44cb-c9e6-ce0b4f5e8f45" - }, - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result)" - ], - "execution_count": 12, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor(0.0529, grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 12 - } - ] - } - ] -} diff --git a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit.ipynb deleted file mode 100644 index 403e598b..00000000 --- a/examples/ode/DuffingEquation/DuffingTest_fit.ipynb +++ /dev/null @@ -1,720 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs):\n", - " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return dt\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [3.9973e-05, 7.9920e-03, 1.0000e-04],\n", - " [1.5979e-04, 1.5968e-02, 2.0000e-04],\n", - " ...,\n", - " [7.7501e-01, 1.1140e-01, 9.9701e-02],\n", - " [7.7615e-01, 1.1605e-01, 9.9801e-02],\n", - " [7.7733e-01, 1.2069e-01, 9.9901e-02]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 0.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:17:28.983779\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "tags": [ - "outputPrepend" - ] - }, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "ad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3643, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5469, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.4862, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.5283, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(0.1015, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3608, requires_grad=True), 'b': Parameter 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requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 77\t Loss: tensor(0.0050, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2525, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5611, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1996, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7955, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 78\t Loss: tensor(0.0049, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2496, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5609, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1928, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7995, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 79\t Loss: tensor(0.0049, grad_fn=)\n", - "{'a': Parameter containing:\n", - 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requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8181, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 87\t Loss: tensor(0.0055, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2282, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5557, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1778, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8189, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 88\t Loss: tensor(0.0053, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2263, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5548, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1805, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8194, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 89\t Loss: 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containing:\n", - "tensor(0.1915, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8196, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 92\t Loss: tensor(0.0042, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2195, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5509, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1956, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8193, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 93\t Loss: tensor(0.0039, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5499, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1998, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8189, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 94\t Loss: tensor(0.0037, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2164, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5488, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2039, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8183, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 95\t Loss: tensor(0.0035, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2150, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5477, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2079, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8177, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 96\t Loss: tensor(0.0033, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2135, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5466, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2118, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8170, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 97\t Loss: tensor(0.0031, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2121, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5455, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2153, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8162, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(0.0029, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2107, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5444, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2186, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8153, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(0.0028, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2094, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5433, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2215, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8145, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=100\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(0.2094, requires_grad=True),\n", - " 'b': Parameter containing:\n", - " tensor(0.5433, requires_grad=True),\n", - " 'd': Parameter containing:\n", - " tensor(0.2215, requires_grad=True),\n", - " 'g': Parameter containing:\n", - " tensor(0.8145, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(0., requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 10 - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# \"b\", \"d\", \"g\" differ by at most 0.1. \"a\" differs by 0.1094.\n", - "# TODO: Investigate why \"w\" isn't learning" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 0.0000e+00, 8.1448e-03, 1.0000e-04],\n", - " [ 8.1448e-05, 1.6272e-02, 2.0000e-04],\n", - " ...,\n", - " [ 1.0326e+00, -5.6420e-06, 9.9975e-01],\n", - " [ 1.0326e+00, -5.0049e-06, 9.9985e-01],\n", - " [ 1.0326e+00, -4.3689e-06, 9.9995e-01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 11 - } - ], - "source": [ - "results_test = ode_solver_train(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Save results as .mat file" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Duffing_fit.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb deleted file mode 100644 index bb6710a5..00000000 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample.ipynb +++ /dev/null @@ -1,401 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs):\n", - " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return dt\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [3.9973e-05, 7.9920e-03, 1.0000e-04],\n", - " [1.5979e-04, 1.5968e-02, 2.0000e-04],\n", - " ...,\n", - " [7.7501e-01, 1.1140e-01, 9.9701e-02],\n", - " [7.7615e-01, 1.1605e-01, 9.9801e-02],\n", - " [7.7733e-01, 1.2069e-01, 9.9901e-02]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 0.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:15:08.223402\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(1.2307e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1534, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4288, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2022, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.2703, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(2.1483e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0261, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4753, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1857, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7601, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(9.9602e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0250, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5568, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1958, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7844, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(4.1914e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0211, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5445, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2153, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7838, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.6528e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0200, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5254, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2264, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7699, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(2.1858e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0309, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5219, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1986, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7557, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(1.0990e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0387, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5179, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2043, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7501, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(5.3082e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0477, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5139, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2163, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7565, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(2.0206e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0576, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5129, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1943, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7672, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(7.0696e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0657, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5108, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2157, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.7682, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0., requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=10\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(0.0657, requires_grad=True),\n", - " 'b': Parameter containing:\n", - " tensor(0.5108, requires_grad=True),\n", - " 'd': Parameter containing:\n", - " tensor(0.2157, requires_grad=True),\n", - " 'g': Parameter containing:\n", - " tensor(0.7682, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(0., requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 10 - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The coefficients differ by at most 0.1 from the original with the exception of \"w\". THe graphs look similar.\n", - "# TODO: Investigate why \"w\" isn't learning" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 0.0000e+00, 7.6820e-03, 1.0000e-04],\n", - " [ 7.6820e-05, 1.5347e-02, 2.0000e-04],\n", - " ...,\n", - " [ 1.1083e+00, -1.7063e-05, 9.9975e-01],\n", - " [ 1.1083e+00, -1.6193e-05, 9.9985e-01],\n", - " [ 1.1083e+00, -1.5323e-05, 9.9995e-01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 11 - } - ], - "source": [ - "results_test = ode_solver_train(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb deleted file mode 100644 index d86a989c..00000000 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w.ipynb +++ /dev/null @@ -1,400 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs):\n", - " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", - " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", - " ...,\n", - " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", - " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", - " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:46:24.188460\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(1.5345e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1958, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4740, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0340, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8324, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2078, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.6405e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3523, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.1234, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2738, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.1512, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.7224, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(6.2219e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0425, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.6194, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.2392, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.0152, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.6459, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(7.5991e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4149, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3046, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1818, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.5973, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.3731, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(6.2194e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0007, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.7119, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.3436, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.0089, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.8776, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(4.3112e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4914, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3646, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1118, requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.5849, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.8166, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(8.0236e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2452, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.6347, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0824, requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.2328, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.1488, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(6.6415e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4988, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4766, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0458, requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.1356, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.0817, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(3.4479e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3148, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.6386, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1946, requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.2991, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.2047, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(2.0038e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5308, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5294, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0315, requires_grad=True), 'g': Parameter containing:\n", - "tensor(-0.0015, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.1920, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=10\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(-0.5308, requires_grad=True),\n", - " 'b': Parameter containing:\n", - " tensor(0.5294, requires_grad=True),\n", - " 'd': Parameter containing:\n", - " tensor(-0.0315, requires_grad=True),\n", - " 'g': Parameter containing:\n", - " tensor(-0.0015, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(0.1920, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 10 - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# Awful results" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 0.0000e+00, -1.4574e-05, 1.0000e-02],\n", - " [-1.4574e-07, -2.9153e-05, 2.0000e-02],\n", - " ...,\n", - " [-6.5856e+00, 2.5939e+01, 9.9973e+01],\n", - " [-6.3262e+00, 2.7424e+01, 9.9983e+01],\n", - " [-6.0520e+00, 2.8740e+01, 9.9993e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 11 - } - ], - "source": [ - "results_test = ode_solver_train(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb deleted file mode 100644 index 54e4a9e1..00000000 --- a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb +++ /dev/null @@ -1,467 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs):\n", - " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", - " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", - " ...,\n", - " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", - " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", - " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:55:08.268586\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Euler's method for training" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch: 0\t Loss: tensor(8.9032e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0939, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2094, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.2346, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.6090, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2538, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(4.9188e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0489, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3273, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1743, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.5939, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.1477, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(4.3954e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2185, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3450, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.3001, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.4604, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2030, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(3.3049e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3561, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3772, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0100, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.5225, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2189, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(7.9197e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3269, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.4776, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.2438, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.5106, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.1436, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(3.3845e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5730, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2565, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1418, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.3832, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2320, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(1.0648e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1834, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5642, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1710, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8034, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.1777, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.9116e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.6395, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3052, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.4333, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.3324, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2096, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(8.1171e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3244, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.5010, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0407, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.6752, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.2112, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(8.6279e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5913, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2579, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1300, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.4061, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.1630, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=10\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(-0.5913, requires_grad=True),\n", - " 'b': Parameter containing:\n", - " tensor(0.2579, requires_grad=True),\n", - " 'd': Parameter containing:\n", - " tensor(-0.1300, requires_grad=True),\n", - " 'g': Parameter containing:\n", - " tensor(0.4061, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(1.1630, requires_grad=True)}" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# Awful results" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Predictions for nt = 10000" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 2.0315e-05, 4.0638e-03, 1.0000e-02],\n", - " [ 8.1293e-05, 8.1327e-03, 2.0000e-02],\n", - " ...,\n", - " [-2.5672e+00, -2.0745e+03, 9.9973e+01],\n", - " [-2.3307e+01, -2.0681e+03, 9.9983e+01],\n", - " [-4.3622e+01, -1.9648e+03, 9.9993e+01]], grad_fn=)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "results_test = ode_solver_train(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={'a': -0.5913,\n", - " 'b': 0.2579,\n", - " 'd': -0.1300,\n", - " 'g': 0.4061,\n", - " 'w': 1.1630},\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result_test = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(1.2754, grad_fn=)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result_test)" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - }, - "kernelspec": { - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb b/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb deleted file mode 100644 index b323fa4f..00000000 --- a/examples/ode/DuffingEquation/DuffingTest_fit_with_w.ipynb +++ /dev/null @@ -1,714 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "# Duffing equation: Second order ODE system\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return prev_val[\"x_\"]\n", - "\n", - "def x_prime_prime(prev_val, coeffs):\n", - " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", - " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", - " ...,\n", - " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", - " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", - " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 12 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:43:56.328236\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "tags": [ - "outputPrepend" - ] - }, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "ad=True), 'w': Parameter containing:\n", - "tensor(0.9047, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(0.0730, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2699, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.1399, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.4409, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9334, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9002, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(0.0748, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2592, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.1308, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.4554, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9225, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9166, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(0.0563, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2477, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.1236, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.4682, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9149, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9371, requires_grad=True)}\n", - "Epoch: 50\t Loss: tensor(0.0585, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2367, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.1207, requires_grad=True), 'd': 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requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9438, requires_grad=True)}\n", - "Epoch: 58\t Loss: tensor(0.0424, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2375, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0945, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.3352, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9840, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9634, requires_grad=True)}\n", - "Epoch: 59\t Loss: tensor(0.0405, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2416, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0925, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.3208, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9921, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9802, requires_grad=True)}\n", - "Epoch: 60\t Loss: tensor(0.0422, grad_fn=)\n", - "{'a': Parameter containing:\n", - 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requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0690, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1287, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9479, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0220, requires_grad=True)}\n", - "Epoch: 78\t Loss: tensor(0.0289, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1976, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0586, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1206, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9397, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0084, requires_grad=True)}\n", - "Epoch: 79\t Loss: tensor(0.0262, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1943, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0481, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.1130, requires_grad=True), 'g': Parameter 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"tensor(0.0974, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8999, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0262, requires_grad=True)}\n", - "Epoch: 85\t Loss: tensor(0.0270, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1648, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0228, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0798, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8994, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0230, requires_grad=True)}\n", - "Epoch: 86\t Loss: tensor(0.0242, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1648, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0162, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0602, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9000, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0194, requires_grad=True)}\n", - "Epoch: 87\t Loss: tensor(0.0241, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1638, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0113, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0437, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.9000, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0207, requires_grad=True)}\n", - "Epoch: 88\t Loss: tensor(0.0249, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1612, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0088, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0330, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8982, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0290, requires_grad=True)}\n", - "Epoch: 89\t Loss: tensor(0.0229, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1580, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0067, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0264, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8954, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0410, requires_grad=True)}\n", - "Epoch: 90\t Loss: tensor(0.0217, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1557, requires_grad=True), 'b': Parameter containing:\n", - "tensor(-0.0027, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0197, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8931, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0512, requires_grad=True)}\n", - "Epoch: 91\t Loss: tensor(0.0224, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1551, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.0041, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0100, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8919, requires_grad=True), 'w': Parameter 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"tensor(0.8727, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0658, requires_grad=True)}\n", - "Epoch: 97\t Loss: tensor(0.0191, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1399, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.0334, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0474, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8644, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0717, requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(0.0189, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1349, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.0356, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0548, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8555, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0754, requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(0.0188, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1319, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.0416, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0651, requires_grad=True), 'g': Parameter containing:\n", - "tensor(0.8485, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0743, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=100\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(0.1319, requires_grad=True),\n", - " 'b': Parameter containing:\n", - " tensor(0.0416, requires_grad=True),\n", - " 'd': Parameter containing:\n", - " tensor(-0.0651, requires_grad=True),\n", - " 'g': Parameter containing:\n", - " tensor(0.8485, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(1.0743, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 17 - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# Awful results" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [0.0000e+00, 8.4848e-03, 1.0000e-02],\n", - " [8.4848e-05, 1.6975e-02, 2.0000e-02],\n", - " ...,\n", - " [ nan, nan, 9.9973e+01],\n", - " [ nan, nan, 9.9983e+01],\n", - " [ nan, nan, 9.9993e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 18 - } - ], - "source": [ - "results_test = ode_solver_train(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:49:21.214103\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "image/png": 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Save results as .mat file" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Duffing_fit.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - 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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,1], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(8.3987e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3543, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.1630, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(2.3275e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4782, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.2951, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(1.0188e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1041, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.0689, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(7.2948e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.6632, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.5962, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.2538e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2057, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-0.1034, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5399, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.4166, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2034, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.9078, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0264, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.7868, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(5.2064e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.9432, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.9164, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4973, requires_grad=True), 'w': Parameter containing:\n", - "tensor(2.4500, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.0098, requires_grad=True), 'w': Parameter containing:\n", - "tensor(3.8831, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(6.8418e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1901, requires_grad=True), 'w': Parameter containing:\n", - "tensor(3.9137, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(1.3432e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5793, requires_grad=True), 'w': Parameter containing:\n", - "tensor(4.9323, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0834, requires_grad=True), 'w': Parameter containing:\n", - "tensor(6.4530, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(9.9072e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3140, requires_grad=True), 'w': Parameter containing:\n", - "tensor(7.4185, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.0568, requires_grad=True), 'w': Parameter containing:\n", - "tensor(9.2521, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(2.0031e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5873, requires_grad=True), 'w': Parameter containing:\n", - "tensor(11.7514, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.8779, requires_grad=True), 'w': Parameter containing:\n", - "tensor(13.4293, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(2.1594e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2352, requires_grad=True), 'w': Parameter containing:\n", - "tensor(14.7111, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.7150, requires_grad=True), 'w': Parameter containing:\n", - "tensor(15.9932, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3120, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.3041, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(5.4723e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0961, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.3183, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2363, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.3415, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(1.0712e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0687, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.3532, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0879, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.3388, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(5.2423e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1394, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.2626, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0586, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.1828, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(4.1406e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.6978, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.0935, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7489, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.0834, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(3.0066e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4087, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.6350, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1648, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9664, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0102, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9946, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2098, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9787, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(2.4440e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0487, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9032, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(6.2938e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1638, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.8623, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(4.2312e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1970, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.8510, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(7.0362e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0970, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9308, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2049, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9662, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(2.3143e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0827, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9852, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(2.8483e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0962, requires_grad=True), 'w': Parameter containing:\n", - "tensor(17.0106, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(2.8690e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2079, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9282, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1045, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.7936, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0194, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.8154, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(1.2894e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1881, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.8178, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2745, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.7236, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(9.2718e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4498, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.8518, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7078, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.9996, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(7.5422e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5365, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.7109, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(9.9845e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3399, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.5500, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(4.7986e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7897, requires_grad=True), 'w': Parameter containing:\n", - "tensor(16.7366, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(-0.7897, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(16.7366, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 9 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt=1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00],\n", - " [-7.8974e-03, 1.0000e-02],\n", - " [-1.5684e-02, 2.0000e-02],\n", - " ...,\n", - " [ 9.0370e-03, 9.9701e+00],\n", - " [ 1.6422e-02, 9.9801e+00],\n", - " [ 2.3238e-02, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 10 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Runge-Kutta for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(9.1289e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0290, requires_grad=True), 'w': Parameter containing:\n", - "tensor(2.5714, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4045, requires_grad=True), 'w': Parameter containing:\n", - "tensor(0.6908, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.3988, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-0.1943, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5274, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-1.9835, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0005, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(1.6118, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.7478, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.0194, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-6.2300, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(8.5691e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.1716, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-5.5097, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0005, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4992, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.9050, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3742, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9329, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0005, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.6733, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.7082, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2293, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2861, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(6.8433e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.6046, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.5379, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(7.0519e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.8078, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.8330, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(9.2921e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2277, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.6744, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(1.1886e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.9219, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.7873, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2405, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.6873, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(1.8628e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5603, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.6175, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(2.2946e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3432, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9978, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2817, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.7970, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4366, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.4324, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4259, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3270, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(8.0545e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3077, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2857, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(1.1119e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3873, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3110, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(1.2416e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.6498, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2802, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(0.0007, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.8757, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2127, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(1.6099e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4610, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2095, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1481, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2386, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(8.1894e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0622, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2254, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(9.0573e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0506, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2273, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1458, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2121, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(9.7300e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2710, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.1828, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(4.0043e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3712, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2271, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(6.6276e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2286, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3179, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5187, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.1811, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(3.4604e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2911, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.0534, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0096, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.1589, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(2.0865e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1714, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2220, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(4.2937e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0344, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2021, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(3.8148e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2675, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2227, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(1.2807e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0064, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3249, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(4.7085e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5191, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.4220, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2200, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2602, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4233, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2988, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.8801, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.4593, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(1.3130e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7841, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9353, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(6.2324e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1745, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9127, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2285, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9252, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(1.9436e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3970, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.8764, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(5.2493e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0436, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9042, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(1.1490e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0989, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9269, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(-0.0989, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(-2.9269, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 14 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00],\n", - " [-9.8864e-04, 1.0000e-02],\n", - " [-1.9764e-03, 2.0000e-02],\n", - " ...,\n", - " [ 2.6607e-02, 9.9701e+00],\n", - " [ 2.7204e-02, 9.9801e+00],\n", - " [ 2.7779e-02, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 15 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb b/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb deleted file mode 100644 index cd4e51ca..00000000 --- a/examples/ode/DuffingEquation/a_Cos_wt_sin_dataset_fitRandomSample.ipynb +++ /dev/null @@ -1,778 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "import numpy as np\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# x'(t) = 3 cos (5t)\n", - "dt = 0.01\n", - "\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"a\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"])\n", - "\n", - "def t_prime(prev_val, coeffs):\n", - " return 1\n", - "\n", - "ode = {\"x\": x_prime, \"t\": t_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"x\": 0, \"t\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 3., \"w\": 5.}\n" - ] - }, - { - "source": [ - "# Dataset: x(t) = 0.6 sin(5t)" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "result = torch.cat((0.6*torch.sin(5*torch.arange(0,10,dt).view(1000,1)), torch.arange(0,10,dt).t().view(1000,1)), dim=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,1], result_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(4.5270e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-2.4322, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-0.1929, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.0007, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.8558, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-1.6210, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.9097, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.3786, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(4.1739e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7750, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.7117, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2855, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.6512, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(3.3292e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.9476, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.7786, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(1.1075e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4619, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.1053, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2398, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.6427, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(3.2227e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2927, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.2822, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4024, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.4214, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3405, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.0005, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(5.2558e-07, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.5829, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.3484, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.9727e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0696, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9735, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(9.5041e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0153, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9711, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(5.1703e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.4543, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.0306, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(4.6333e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2425, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.1199, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(1.0890e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(1.0737, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.0614, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(4.1453e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.7318, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.1605, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(4.0322e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.6846, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.6746, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4716, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9486, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4636, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.0513, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2133, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.0262, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(9.1002e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2131, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.0550, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2561, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.1017, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.6285, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.1315, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(8.0482e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.9587, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.8163, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(5.4839e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.8753, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.4388, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3497, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2782, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(1.1273e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1637, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2723, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(6.0147e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0477, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3468, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(8.3584e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1129, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3795, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(7.6798e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0488, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3675, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.3402, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3180, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0959, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3005, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(9.6643e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0825, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3338, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0977, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.4111, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2193, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.4535, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(0.0005, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.5342, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.5106, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(2.8332e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.6357, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3143, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2803, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2216, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(1.1408e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0466, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2106, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0309, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2120, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(3.6971e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2747, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.2372, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4057, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.3999, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(7.4059e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2769, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.6607, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(3.0574e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2911, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.8372, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(4.4585e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5236, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-2.9330, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3666, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.0814, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0783, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.1630, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(7.5517e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0256, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.1735, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(0.0256, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(-3.1735, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 8 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt=1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[0.0000e+00, 0.0000e+00],\n", - " [2.5617e-04, 1.0000e-02],\n", - " [5.1222e-04, 2.0000e-02],\n", - " ...,\n", - " [1.8023e-03, 9.9701e+00],\n", - " [2.0520e-03, 9.9801e+00],\n", - " [2.2998e-03, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 9 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Runge-Kutta for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 1.,\"w\": 1.}\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0997, requires_grad=True), 'w': Parameter containing:\n", - "tensor(4.6741, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1854, requires_grad=True), 'w': Parameter containing:\n", - "tensor(6.2720, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(1.3846e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.9322, requires_grad=True), 'w': Parameter containing:\n", - "tensor(6.2679, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(5.9804e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0151, requires_grad=True), 'w': Parameter containing:\n", - "tensor(3.5418, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(2.1066e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5775, requires_grad=True), 'w': Parameter containing:\n", - "tensor(1.7847, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3544, requires_grad=True), 'w': Parameter containing:\n", - "tensor(2.4311, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(8.1897e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3198, requires_grad=True), 'w': Parameter containing:\n", - "tensor(3.5560, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(1.7646e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1638, requires_grad=True), 'w': Parameter containing:\n", - "tensor(3.3414, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(2.2373e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-1.3302, requires_grad=True), 'w': Parameter containing:\n", - "tensor(2.2808, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0128, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-0.9907, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(2.7092e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(1.1079, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-3.4621, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(1.0649, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.8681, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(5.8265e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(2.7937, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-4.8530, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(9.6760e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7413, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-6.1892, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0507, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.1093, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(2.0103e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(1.1409, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-8.2856, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.7276, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-9.8825, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(1.8564e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2852, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-9.2050, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(6.2649e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1306, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-8.8655, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(1.1148e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.8712, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.8213, requires_grad=True)}\n", - "Epoch: 20\t Loss: tensor(6.4303e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3711, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6783, requires_grad=True)}\n", - "Epoch: 21\t Loss: tensor(3.6406e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1566, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6576, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(4.8942e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0450, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.7096, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(7.1799e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0168, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.7070, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(1.0641e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1109, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.7094, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(4.6307e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1617, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6906, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0050, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6407, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(2.1823e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0981, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6197, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(1.3576e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.1332, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5929, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0645, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5776, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(9.3135e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2605, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5727, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(5.1299e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2823, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6115, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1129, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6248, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1549, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6662, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(5.8770e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.3164, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6577, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(2.4644e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4008, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.6906, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2954, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.7434, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(1.2589e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4092, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.7065, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4456, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5781, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2274, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.4923, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0936, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.4958, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.0102, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.4707, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1084, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.4729, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0882, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5021, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(7.8101e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0559, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5200, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(1.7299e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.4571, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5471, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.7655, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.5353, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(0.0005, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.5684, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-7.9033, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0502, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-8.0365, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(-0.2824, requires_grad=True), 'w': Parameter containing:\n", - "tensor(-8.0455, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=50,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [20],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': Parameter containing:\n", - " tensor(-0.2824, requires_grad=True),\n", - " 'w': Parameter containing:\n", - " tensor(-8.0455, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 13 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 0.0000e+00, 0.0000e+00],\n", - " [-2.8206e-03, 1.0000e-02],\n", - " [-5.6229e-03, 2.0000e-02],\n", - " ...,\n", - " [ 3.4903e-02, 9.9701e+00],\n", - " [ 3.4496e-02, 9.9801e+00],\n", - " [ 3.3866e-02, 9.9901e+00]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 14 - } - ], - "source": [ - "results_test = ode_solver_train(1000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot\n", - "plt.plot(results_test_np[:,1], results_test_np[:,0])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/README.md b/examples/ode/README.md index d5901d3e..2d88c0cd 100644 --- a/examples/ode/README.md +++ b/examples/ode/README.md @@ -6,11 +6,11 @@ Lorenz63: Parameters to estimate: $\sigma, \rho, \beta$ -Duffing equation: + SEIR: diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb b/examples/ode/SEIR/SEIRTest.ipynb similarity index 68% rename from examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb rename to examples/ode/SEIR/SEIRTest.ipynb index ce2cdab2..3a2a1998 100644 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample_RK4.ipynb +++ b/examples/ode/SEIR/SEIRTest.ipynb @@ -18,9 +18,9 @@ "source": [ "import torch\n", "from torchts.nn.models.ode import ODESolver\n", + "from torchts.utils.data import generate_ode_dataset\n", "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" + "import matplotlib.pyplot as plt" ] }, { @@ -110,11 +110,19 @@ "cell_type": "code", "execution_count": 6, "metadata": {}, + "outputs": [], + "source": [ + "x_train, y_train = generate_ode_dataset(result, num_steps=5)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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    " ] @@ -146,7 +154,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -158,19 +166,18 @@ " init_coeffs=ode_train_coeffs,\n", " dt=dt,\n", " solver=\"rk4\",\n", - " optimizer=None\n", + " optimizer=torch.optim.Adam\n", ")" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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    " ] @@ -196,127 +203,127 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "GPU available: False, used: False\n", + "TPU available: False, using: 0 TPU cores\n", + "IPU available: False, using: 0 IPUs\n", + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/configuration_validator.py:101: UserWarning: you defined a validation_step but have no val_dataloader. Skipping val loop\n", + " rank_zero_warn(f\"you defined a {step_name} but have no {loader_name}. Skipping {stage} loop\")\n", + "\n", + " | Name | Type | Params\n", + "------------------------------\n", + "------------------------------\n", + "3 Trainable params\n", + "0 Non-trainable params\n", + "3 Total params\n", + "0.000 Total estimated model params size (MB)\n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ - "Epoch: 0\t Loss: tensor(4.6512e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0285, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1122, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.0951, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.9836e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0915, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1701, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1532, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.2087e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0937, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1618, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1882, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.7804e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1032, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1950, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.0666e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0341, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1928, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(7.4269e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0266, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1919, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(4.8762e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0765, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1933, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.1817e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1189, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1947, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.9109e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1549, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1956, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(1.3207e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1845, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1967, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(8.2491e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2096, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1975, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(4.7386e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2294, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1981, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.6972e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2457, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1986, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.5624e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2587, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1988, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(9.4921e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2688, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(5.2422e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2767, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(3.0185e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2827, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(1.5602e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2874, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(8.0120e-13, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2909, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1997, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(4.3072e-13, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2934, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1998, requires_grad=True)}\n" + " " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:105: UserWarning: The dataloader, train dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 4 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", + " rank_zero_warn(\n", + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:322: UserWarning: The number of training samples (8) is smaller than the logging interval Trainer(log_every_n_steps=50). Set a lower value for log_every_n_steps if you want to see logs for the training epoch.\n", + " rank_zero_warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0: 0%| | 0/8 [00:00<00:00, 210.98it/s] " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:219: UserWarning: Using a target size (torch.Size([128, 5, 4])) that is different to the input size (torch.Size([5, 4])). This will likely lead to incorrect results due to broadcasting. Please ensure they have the same size.\n", + " return self.criterion(pred, y)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0: 12%|█▎ | 1/8 [00:03<00:11, 1.71s/it, loss=0.0319, v_num=14, train_loss_step=0.0319]" + ] + }, + { + "ename": "RuntimeError", + "evalue": "Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;31m# )\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m ode_solver.fit(\n\u001b[0m\u001b[1;32m 8\u001b[0m \u001b[0mx_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m )\n", + "\u001b[0;32m~/Documents/GitHub/torchTS/torchts/nn/model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, x, y, max_epochs, batch_size)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0mloader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataLoader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshuffle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[0mtrainer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTrainer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 59\u001b[0;31m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mloader\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 60\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mprepare_batch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, model, train_dataloaders, val_dataloaders, datamodule, train_dataloader)\u001b[0m\n\u001b[1;32m 551\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcheckpoint_connector\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresume_start\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 552\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 553\u001b[0;31m 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"\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_run_train\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 1043\u001b[0m \u001b[0;31m# reset trainer on this loop and all child loops in case user connected a custom loop\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1044\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_loop\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrainer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1045\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_loop\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1046\u001b[0m \u001b[0;32mexcept\u001b[0m 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pass\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 77\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmodel\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mLightningModule\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 78\u001b[0;31m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclosure_loss\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moptimizer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 79\u001b[0m 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\u001b[0mretain_graph\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 220\u001b[0m create_graph=create_graph)\n\u001b[0;32m--> 221\u001b[0;31m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mautograd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgradient\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 222\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 223\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mregister_hook\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhook\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(tensors, grad_tensors, retain_graph, create_graph, grad_variables)\u001b[0m\n\u001b[1;32m 128\u001b[0m \u001b[0mretain_graph\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 130\u001b[0;31m Variable._execution_engine.run_backward(\n\u001b[0m\u001b[1;32m 131\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 132\u001b[0m allow_unreachable=True) # allow_unreachable flag\n", + "\u001b[0;31mRuntimeError\u001b[0m: Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time." ] } ], "source": [ - "ode_solver.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.01},\n", - " max_epochs=20\n", + "# ode_solver.fit(\n", + "# result,torch.optim.Adam,\n", + "# {\"lr\": 0.01},\n", + "# max_epochs=20\n", + "# )\n", + "\n", + "ode_solver.fit(\n", + " x_train, y_train\n", ")" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -345,7 +352,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -373,7 +380,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -404,7 +411,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -422,7 +429,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -440,7 +447,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -458,7 +465,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -480,7 +487,7 @@ ], "metadata": { "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + "hash": "451aa0df4a570cd656587110b6aa2986586cee19fad7a1827a6dda4238079d81" }, "kernelspec": { "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", diff --git a/examples/ode/SEIR/SEIRTest_fit.ipynb b/examples/ode/SEIR/SEIRTest_fit.ipynb deleted file mode 100644 index 8dd0491c..00000000 --- a/examples/ode/SEIR/SEIRTest_fit.ipynb +++ /dev/null @@ -1,802 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Rossler Attractor equations\n", - "dt = 0.01\n", - "\n", - "def s_prime(prev_val, coeffs):\n", - " return - coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"]\n", - "\n", - "def e_prime(prev_val, coeffs):\n", - " return coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"] - coeffs[\"g2\"]*prev_val[\"e\"]\n", - "\n", - "def i_prime(prev_val, coeffs):\n", - " return coeffs[\"g2\"]*prev_val[\"e\"] - coeffs[\"a\"]*prev_val[\"i\"]\n", - "\n", - "def r_prime(prev_val, coeffs):\n", - " return coeffs[\"a\"]*prev_val[\"i\"]\n", - "\n", - "ode = {\"s\": s_prime, \"e\": e_prime, \"i\": i_prime, \"r\": r_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"s\": 0.1, \"e\": 0.9, \"i\": 0, \"r\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2}\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7973e-03, 8.9910e-07],\n", - " [9.9999e-02, 8.9641e-01, 3.5892e-03, 3.5928e-06],\n", - " ...,\n", - " [3.3031e-02, 1.5079e-01, 4.4694e-01, 3.6924e-01],\n", - " [3.2987e-02, 1.5053e-01, 4.4679e-01, 3.6969e-01],\n", - " [3.2943e-02, 1.5028e-01, 4.4664e-01, 3.7014e-01]],\n", - " grad_fn=)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:15:38.503386\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(result_np[:,0])\n", - "plt.plot(result_np[:,1])\n", - "plt.plot(result_np[:,2])\n", - "plt.plot(result_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Euler's method for training" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"g1\": 0., \"g2\": 0.}\n", - "\n", - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test = ode_solver(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(results_test_np[:,0])\n", - "plt.plot(results_test_np[:,1])\n", - "plt.plot(results_test_np[:,2])\n", - "plt.plot(results_test_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "tags": [ - "outputPrepend" - ] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ")}\n", - "Epoch: 21\t Loss: tensor(0.0034, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1143, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1473, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1536, requires_grad=True)}\n", - "Epoch: 22\t Loss: tensor(0.0032, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1172, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1450, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1571, requires_grad=True)}\n", - "Epoch: 23\t Loss: tensor(0.0030, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1191, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1417, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1605, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(0.0028, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1200, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1374, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1636, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(0.0027, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1199, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1322, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1665, requires_grad=True)}\n", - "Epoch: 26\t Loss: tensor(0.0025, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1190, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1262, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1692, requires_grad=True)}\n", - "Epoch: 27\t Loss: tensor(0.0023, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1173, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1196, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1717, requires_grad=True)}\n", - "Epoch: 28\t Loss: tensor(0.0021, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1149, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1124, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1740, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(0.0019, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1121, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1046, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1762, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(0.0017, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1088, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0965, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1782, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(0.0015, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1053, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0880, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1800, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(0.0013, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1016, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0792, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1817, requires_grad=True)}\n", - "Epoch: 33\t Loss: tensor(0.0011, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0980, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0702, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1833, requires_grad=True)}\n", - "Epoch: 34\t Loss: tensor(0.0010, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0946, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0610, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1848, requires_grad=True)}\n", - "Epoch: 35\t Loss: tensor(0.0009, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0915, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0517, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1861, requires_grad=True)}\n", - "Epoch: 36\t Loss: tensor(0.0009, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0889, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0423, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1874, requires_grad=True)}\n", - "Epoch: 37\t Loss: tensor(0.0008, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0868, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0330, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1885, requires_grad=True)}\n", - "Epoch: 38\t Loss: tensor(0.0008, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0854, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0237, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1896, requires_grad=True)}\n", - "Epoch: 39\t Loss: tensor(0.0008, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0847, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0145, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1905, requires_grad=True)}\n", - "Epoch: 40\t Loss: tensor(0.0007, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0848, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0054, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1914, requires_grad=True)}\n", - "Epoch: 41\t Loss: tensor(0.0007, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0854, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0036, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1922, requires_grad=True)}\n", - "Epoch: 42\t Loss: tensor(0.0006, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0867, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0124, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1929, requires_grad=True)}\n", - "Epoch: 43\t Loss: tensor(0.0006, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0883, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0211, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1936, requires_grad=True)}\n", - "Epoch: 44\t Loss: tensor(0.0005, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0903, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0295, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1942, requires_grad=True)}\n", - "Epoch: 45\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0925, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0378, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1947, requires_grad=True)}\n", - "Epoch: 46\t Loss: tensor(0.0004, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0947, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0458, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1952, requires_grad=True)}\n", - "Epoch: 47\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0537, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1957, requires_grad=True)}\n", - "Epoch: 48\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0614, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1961, requires_grad=True)}\n", - "Epoch: 49\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1004, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0688, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1965, requires_grad=True)}\n", - "Epoch: 50\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1018, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0761, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1968, requires_grad=True)}\n", - "Epoch: 51\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1027, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0832, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1971, requires_grad=True)}\n", - "Epoch: 52\t Loss: tensor(0.0003, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1032, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0901, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1974, requires_grad=True)}\n", - "Epoch: 53\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1034, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0967, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1977, requires_grad=True)}\n", - "Epoch: 54\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1032, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1032, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1979, requires_grad=True)}\n", - "Epoch: 55\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1026, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1095, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1981, requires_grad=True)}\n", - "Epoch: 56\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1019, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1156, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1983, requires_grad=True)}\n", - "Epoch: 57\t Loss: tensor(0.0002, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1009, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1215, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1984, requires_grad=True)}\n", - "Epoch: 58\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1271, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1986, requires_grad=True)}\n", - "Epoch: 59\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0988, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1326, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1987, requires_grad=True)}\n", - "Epoch: 60\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1379, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1988, requires_grad=True)}\n", - "Epoch: 61\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0969, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1430, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1989, requires_grad=True)}\n", - "Epoch: 62\t Loss: tensor(0.0001, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0961, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1478, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1990, requires_grad=True)}\n", - "Epoch: 63\t Loss: tensor(9.8452e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0956, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1525, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 64\t Loss: tensor(9.4771e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0953, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1570, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 65\t Loss: tensor(9.0765e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0953, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1613, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 66\t Loss: tensor(8.5824e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0955, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1654, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 67\t Loss: tensor(7.9839e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0959, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1694, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 68\t Loss: tensor(7.3129e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0964, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1731, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 69\t Loss: tensor(6.6275e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0971, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1768, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 70\t Loss: tensor(5.9903e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0978, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1803, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 71\t Loss: tensor(5.4491e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1836, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 72\t Loss: tensor(5.0263e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1869, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 73\t Loss: tensor(4.7162e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1900, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 74\t Loss: tensor(4.4913e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1001, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1930, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 75\t Loss: tensor(4.3131e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1005, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1959, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 76\t Loss: tensor(4.1439e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1006, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1987, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 77\t Loss: tensor(3.9557e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1007, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2014, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 78\t Loss: tensor(3.7362e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1006, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2040, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 79\t Loss: tensor(3.4885e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1004, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2066, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 80\t Loss: tensor(3.2275e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1001, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2090, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 81\t Loss: tensor(2.9732e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2114, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 82\t Loss: tensor(2.7447e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2137, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 83\t Loss: tensor(2.5542e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0990, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2159, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 84\t Loss: tensor(2.4042e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0987, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2180, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 85\t Loss: tensor(2.2885e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2201, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 86\t Loss: tensor(2.1950e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2221, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 87\t Loss: tensor(2.1096e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2240, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 88\t Loss: tensor(2.0207e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0982, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2258, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 89\t Loss: tensor(1.9222e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0983, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2276, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 90\t Loss: tensor(1.8142e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0985, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2293, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 91\t Loss: tensor(1.7018e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0987, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2310, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 92\t Loss: tensor(1.5921e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0989, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2326, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1992, requires_grad=True)}\n", - "Epoch: 93\t Loss: tensor(1.4923e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0992, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2341, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 94\t Loss: tensor(1.4067e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0994, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2356, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 95\t Loss: tensor(1.3362e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2371, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 96\t Loss: tensor(1.2777e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2385, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 97\t Loss: tensor(1.2273e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2399, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(1.1794e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2412, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(1.1305e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1000, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2426, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver.fit(result,torch.optim.Adam, {\"lr\": 0.01}, max_epochs=100)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'a': 0.09996917098760605,\n", - " 'g1': 0.24255302548408508,\n", - " 'g2': 0.19910137355327606}" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ode_solver.get_coeffs()\n", - "\n", - "# \"a\" and \"g2\" differ by at most 0.01. \"g1\" differs by 0.06." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Predictions for nt = 10000" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9821e-01, 1.7919e-03, 0.0000e+00],\n", - " [1.0000e-01, 8.9642e-01, 3.5785e-03, 1.7914e-06],\n", - " ...,\n", - " [9.0271e-03, 2.9410e-06, 1.3851e-04, 9.9083e-01],\n", - " [9.0271e-03, 2.9381e-06, 1.3838e-04, 9.9083e-01],\n", - " [9.0271e-03, 2.9353e-06, 1.3825e-04, 9.9083e-01]],\n", - " grad_fn=)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "results_test = ode_solver(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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kBCA80bstyLA2DqkX0zRJu/NOStatwx4TQ6dZs7BHRFgdloiI1FODkpFZs2bRvXt3goODGTJkCIsWLTpk/TfffJOjjz6a0NBQkpOT+b//+z8yM1tQL0RYZc9IoYZpWpPM554nb84X4HDQ6Yn/ENSpo9UhiYhIA9Q7GZk9ezZTp07lzjvvZOXKlYwdO5ZTTjmFHTt21Fj/+++/55JLLuGKK65g7dq1/O9//+Pnn3/myiuvbHTwAROW4N0W7rU2Dqmz/G++Ye/MmQAk3XUXocOGWRuQiIg0WL2Tkccff5wrrriCK6+8kr59+zJz5kw6d+7MM888U2P9pUuX0q1bN2644Qa6d+/OmDFj+Otf/8qyZcsaHXzA+JKRon3g8VgbixxW6Zat7L75FgBiLryQmMnnWRyRiIg0Rr2SkbKyMpYvX87EiROrlU+cOJHFixfXeMyoUaPYtWsXc+bM8S7TvWcP7733Hqeddlqt7ZSWlpKXl1ft1aR8E1hNDxTr9t6WzFNUROqNN3jvnBk2jA6332Z1SCIi0kj1Skb27duH2+2mQ4cO1co7dOhAenp6jceMGjWKN998k8mTJxMUFERSUhLR0dE8+eSTtbYzY8YMoqKi/K/OnTvXJ8z6szsgpHKtEQ3VtFimaZJ+33RKN27CHh9PymOPYjidVoclIiKN1KAJrAeu4WCaZq3rOqxbt44bbriBu+++m+XLlzN37ly2bt3KlClTaj3/7bffTm5urv+1c+fOhoRZP5o30uLlvPee9+F3NhsdH3sMZ2Ki1SGJiEgAOOpTOT4+HrvdflAvSEZGxkG9JT4zZsxg9OjR3HzzzQAMHDiQsLAwxo4dywMPPEBycvJBx7hcLlwuV31Ca7ywBNi3Qbf3tlAl69ez5/4HAEi48UbChh9rcUQiIhIo9eoZCQoKYsiQIcybN69a+bx58xg1alSNxxQVFWGzVW/GbrcD3h6VFiPc1zOi23tbGndBIbumTsUsKyNs3HHEXdWC7sQSEZFGq/cwzbRp03jxxRd5+eWXWb9+PTfddBM7duzwD7vcfvvtXHLJJf76Z5xxBh988AHPPPMMW7Zs4YcffuCGG27g2GOPJSUlJXDfpLE0TNNi7XnoIcq378CRnEzKww9j2LRWn4hIW1KvYRqAyZMnk5mZyfTp00lLS2PAgAHMmTOHrl27ApCWllZtzZHLLruM/Px8nnrqKf72t78RHR3N8ccfzz//+c/AfYtAUDLSIuXN/ZLcDz4Aw6DjI//EERNjdUgiIhJghtmixkpqlpeXR1RUFLm5uURGRjZNI8tehs9ugj6nwgVvN00bUi/l6elsOfMsPLm5xP3lLyROu8nqkEREpB7q+vut/m6fsMo7M9Qz0iKYHg+7b7sdT24uwQMGkHDdtVaHJCIiTUTJiI+GaVqUrFdepWjpUoyQEFL+9YiexCsi0oYpGfHRw/JajNJNm/zPnelwx+24une3NiAREWlSSkZ8fD0jZQVQVmRtLO2YWVHB7jvuxCwvJ3zcOKL/9CerQxIRkSamZMTHFQGOYO97DdVYJuu11yj55RdsEREkTb+v1pV9RUSk7VAy4mMYVeaNaKjGCqVbtrD3P08A0OG2W3HWsqqviIi0LUpGqvLPG1HPSHMz3W7S7rjTu8rqmDFE/fGPVockIiLNRMlIVf6eET2fprll/fe/FK9ahS0sjOT7p2t4RkSkHVEyUpXWGrFEeWqqf3gm8ZZbcNbw8EQREWm7lIxUpdt7LZH+4EOYxcWEDB1C9HnnWh2OiIg0MyUjVfmGaQo0TNNc8r/5hoJvvwWHg+R779XwjIhIO6RkpCrNGWlWnsJC0h94EIC4yy/H1auXxRGJiIgVlIxUFV45Z6RAc0aaw96nZ1GRloazY0fir55idTgiImIRJSNVhVeua1GQbm0c7UDJhg1kvfYaAEl334UtJMTiiERExCpKRqqKSPJui7OhotTaWNow0zRJn34/uN1ETJxI+LhxVockIiIWUjJSVUgM2CufDqtJrE0m/4svKF6+HCMkhA6332Z1OCIiYjElI1UZRpWhmj3WxtJGeYqL2fPoowDEXXWl1hQRERElIwfxJSP5mjfSFDJffpmK3Wk4UpKJu/xyq8MREZEWQMnIgTSJtcmUp6WR+cKLAHS4+WZswcEWRyQiIi2BkpEDRfiSEc0ZCbSMRx/DLCkhZOgQIk4+2epwRESkhVAycqDwyjtqNEwTUEUrVpD3+edgGCTdcYdWWhURET8lIweK0ATWQDNNk4x/PgJA1Dl/JLhfP4sjEhGRlkTJyIE0gTXg8r/+muLVqzFCQki44QarwxERkRZGyciBwjVnJJDMigr2Pv5vAGIvuxRnYqLFEYmISEujZORAvlVYCzPA47E2ljYg5/0PKNu6FXt0NHFXXGF1OCIi0gIpGTlQWCJggKcCijKtjqZV8xQVse+ppwCIv+Zq7OHhFkckIiItkZKRA9kdEBbvfa+1Rhol6/X/UrF3L85OnYg+/3yrwxERkRZKyUhNtCR8o1VkZ5P5oneBs4Qbb8QWFGRxRCIi0lIpGamJ/44aJSMNlfnCi3gKCnD17UvkaadaHY6IiLRgSkZq4pvEqmGaBqnYt4/st94CIOHGGzBs+jMTEZHa6VeiJuoZaZTMF17ELCkh+OiBhI8bZ3U4IiLSwikZqYkeltdg5RkZZL/zDgAJ112vZd9FROSwlIzURA/La7DMF17ELC0lZNAgwsaMtjocERFpBZSM1EQPy2uQ8j17yJk9G4CEG9QrIiIidaNkpCYRVZ5PY5rWxtKKZD7/AmZZGSFDhhA6cqTV4YiISCuhZKQmESnebUUxlORYGkprUZ6eTs677wKQcP116hUREZE6UzJSE2cwhMR63+fttjaWViLzpZcxy8sJHTqU0OHDrQ5HRERaESUjtYns6N3mpVkbRytQkZVFzv/+B0Dc1VPUKyIiIvWiZKQ2kcnebV6qtXG0Almvv+5dV2TAAMJGjbI6HBERaWWUjNQmsnLeSL56Rg7FXVBA9pve1Vbj/voX9YqIiEi9KRmpjW8Sq3pGDin77bfx5OcT1LMnESecYHU4IiLSCikZqY2vZ0RzRmrlKSkh67XXAYi76ko9g0ZERBpEvx618c8Z0d00tcn54APc+/bhTEkh6rTTrA5HRERaKSUjtfHfTaNhmpqY5eVkvfQyALFXXI7hdFockYiItFZKRmoTUdkzUpIDZUWWhtIS5c39kvLUVOxxcUSfc47V4YiISCumZKQ2wVHgDPO+1x011ZimSdYrrwAQe9GfsQUHWxyRiIi0ZkpGamMYmjdSi+JlyyhZtw4jOJjo88+3OhwREWnllIwciv+OGiUjVWW++hoAUWediSMmxuJoRESktVMycii+tUbylYz4lG3bRsG33wIQe8mlFkcjIiJtgZKRQ1HPyEGyXn8dTJPw8eNx9ehudTgiItIGKBk5FCUj1bhzcsj54EMAYi9Tr4iIiASGkpFDUTJSTfbsdzFLSnAdeSShw4dbHY6IiLQRDqsDaNH0sDw/s6yM7DfeALy9InognojIoZmmSUVFBW632+pQmozdbsfhcDT6N0HJyKH4JrAW7AF3Bdjb7+XK+/JLKvbuxZGQQNSpp1odjohIi1ZWVkZaWhpFRW1/0czQ0FCSk5MJCgpq8Dna769rXYQlgM0BngooSIeoTlZHZJnsN94EIPqC8zEa8QcnItLWeTwetm7dit1uJyUlhaCgoDbZm2yaJmVlZezdu5etW7fSu3dvbA18YKqSkUOx2bxDNTk7IDe13SYjxWvXUrx6NTidxJx7rtXhiIi0aGVlZXg8Hjp37kxoaKjV4TSpkJAQnE4n27dvp6ysjOAGrsitCayHE9XZu83daW0cFsp+6y0AIidOxJGQYHE0IiKtQ0N7CVqbQHzPBp1h1qxZdO/eneDgYIYMGcKiRYsOWb+0tJQ777yTrl274nK56NmzJy+//HKDAm52vmQkZ4e1cVjEnZND3mefAxDz5wstjkZERNqieg/TzJ49m6lTpzJr1ixGjx7Nc889xymnnMK6devo0qVLjcecd9557Nmzh5deeolevXqRkZFBRUVFo4NvFr6hmdxd1sZhkZwPPsQsLcV15JGEHHOM1eGIiEgbVO+ekccff5wrrriCK6+8kr59+zJz5kw6d+7MM888U2P9uXPnsmDBAubMmcOJJ55It27dOPbYYxk1alSjg28W0e13mMb0eMh++20AYi68oE1OwBIRkf0yMjL461//SpcuXXC5XCQlJTFp0iSWLFnSpO3WKxkpKytj+fLlTJw4sVr5xIkTWbx4cY3HfPLJJwwdOpRHHnmEjh07csQRR/D3v/+d4uLiWtspLS0lLy+v2ssy/jkj7a9npHDRIsp37sQWGUnU6adbHY6IiDSxc845h9WrV/Paa6/x+++/88knnzB+/HiysrKatN16DdPs27cPt9tNhw4dqpV36NCB9PT0Go/ZsmUL33//PcHBwXz44Yfs27ePa665hqysrFrnjcyYMYP77ruvPqE1Hf+ckZ1gmtCOegeyKieuRp99NrY2PiNcRKS9y8nJ4fvvv2f+/PmMGzcOgK5du3Lsscc2edsNurX3wO560zRr7cL3eDwYhsGbb75JVFQU4B3q+dOf/sTTTz9NSEjIQcfcfvvtTJs2zf85Ly+Pzp07NyTUxvPNGSnLh5JcCIm2Jo5mVrZzJ4ULvROTYy443+JoRERaN9M0KS5v/pVYQ5z2Og+xh4eHEx4ezkcffcSIESNwuVxNHN1+9UpG4uPjsdvtB/WCZGRkHNRb4pOcnEzHjh39iQhA3759MU2TXbt20bt374OOcblczXoRDikoFELjoCjTO2+knSQjOe++C6ZJ2JgxBHXrZnU4IiKtWnG5m353f9ns7a6bPonQoLr91DscDl599VWuuuoqnn32WQYPHsy4ceM4//zzGThwYJPGWa85I0FBQQwZMoR58+ZVK583b16tE1JHjx7N7t27KSgo8Jf9/vvv2Gw2OnVqJYuItbN5I2Z5OTkffgRA9OTzrA1GRESazTnnnMPu3bv55JNPmDRpEvPnz2fw4MG8+uqrTdquYZqmWZ8DZs+ezcUXX8yzzz7LyJEjef7553nhhRdYu3YtXbt25fbbbyc1NZXXX38dgIKCAvr27cuIESO477772LdvH1deeSXjxo3jhRdeqFObeXl5REVFkZubS2RkZP2/ZWO982f47TM45V8w/C/N334zy/vqK1JvuBF7fDy9v/sWw+m0OiQRkVajpKSErVu3+tfjgtYxTFObK6+8knnz5rF9+/Ya99f0fX3q+vtd7zkjkydPJjMzk+nTp5OWlsaAAQOYM2cOXbt2BSAtLY0dO/YvEBYeHs68efO4/vrrGTp0KHFxcZx33nk88MAD9W3aOtGV66fkto+Fz3L+9x7gnbiqREREpPEMw6jzcElL069fPz766KMmbaNBV+aaa67hmmuuqXFfTV05Rx555EFDO61KOxqmKU9NpfD77wGIPvdPFkcjIiLNJTMzk3PPPZfLL7+cgQMHEhERwbJly3jkkUc488wzm7Tt1pmmNTffHTU5bX/hs5z3PwDTJHTECIJqWVFXRETanvDwcIYPH86///1vNm/eTHl5OZ07d+aqq67ijjvuaNK2lYzURXT76Bkx3W5yPvgAUK+IiEh743K5mDFjBjNmzGj2ttvHIwUbyzdMU5AOFaXWxtKEChYtoiI9HXt0NBEnnWR1OCIi0k4oGamL0DhwVC7OlpdqbSxNyDdxNerMM7EFBVkcjYiItBdKRurCMNr8vJHyjAwK5s8HIPq8c60NRkRE2hUlI3XlmzeS0zZv78398CNwuwkZPBhXz55WhyMiIu2IkpG6iunm3ebUvOhLa2aaJrkffghA9DnnWByNiIi0N0pG6sqXjGRvszKKJlG8ahVl27ZhhIQQMWmS1eGIiEg7o2SkrtpwMpL70ccARE48CXt4mMXRiIhIe6NkpK7aaDLiKS0lb84cAKLOPtviaEREpD1SMlJXvmSkcC+UFhyyamtS8M03ePLzcaQkE3rssVaHIyIi7ZCSkboKjoKQGO/7NjSJNafy4UdRf/gDhk1/DiIi0vz061MfbWyopjwjg8LvfwAg+qyzrA1GREQsd9lll2EYxkGvk08+uUnb1bNp6iOmG+xeCdlto2ck79NPweMh5JhjCOrWzepwRESkBTj55JN55ZVXqpW5XK4mbVPJSH1Ed/Vu20DPiGma5PqGaM4+y9JYRESk5XC5XCQlJTVrm0pG6qMNDdOUrF1H6cZNGC4XkaecYnU4IiJtm2lCeVHzt+sM9T7SpIVTMlIfbSgZ8a24GnHCCdgjIiyORkSkjSsvgodSmr/dO3ZDUP3Wj/rss88IDw+vVnbrrbdy1113BTKyapSM1EfVJeE9Hmild5+Y5eVV1hY5y9pgRESkRZkwYQLPPPNMtbLY2NgmbVPJSH1EdQLDDhUlULAHIpOtjqhBCpcswZ2djT0ujrCRI60OR0Sk7XOGensprGi3nsLCwujVq1cTBFM7JSP1YXd6E5Kc7d6hmlaajOR+9hkAkaecguHQn4CISJMzjHoPl7Qn+iWqr5hu+5ORrq2vV8FTXEz+198AEHX6aRZHIyIiLU1paSnp6enVyhwOB/Hx8U3WppKR+orpBlsXtNpJrAXffYdZVISzUyeCjz7a6nBERKSFmTt3LsnJ1Xv++/Tpw2+//dZkbbbOGZhWiu3u3WZtsTaOBsr97HMAIk8/DaMV3O4lIiLN59VXX8U0zYNeTZmIgJKR+ovt6d1mbrI2jgZw5+RQsGgRAFGnn25xNCIiIl5KRuorrnKGcdZm7yI2rUjeV19BeTmuI4/E1cwzpUVERGqjZKS+YrsDBpTkQlGm1dHUS96n3rtoNHFVRERaEiUj9eUM8d7eC5C52dpY6qE8LY2iZcsAiDxNyYiIiLQcSkYaIq71zRvJm/MFmCahQ4fiTG6d66OIiEjbpGSkIVrhJNbczysXOtPEVRERaWGUjDRE1UmsrUDpli2UrlsPDgcRkyZaHY6IiEg1SkYawpeMtJI5I3lffAFA2OhROGJiLI5GRESkOiUjDeGbM5K1xfv03hYuf+6XAESefIrFkYiIiBxMyUhDRHcBmwPKiyA/zepoDql082ZKN24Ep5OIE463OhwREZGDKBlpCLsTort637fwSax5c+cCEDZqJPbISIujERGRluyyyy7jrLPOavZ2lYw0VCuZxKohGhERaemUjDRUK5jEqiEaERFpDRxWB9BqxfXwblvwMI2GaEREWgbTNCmuKG72dkMcIa3iCe1KRhrK1zOyb2OjTlNUXkReWR4hjhCiXFEBCGy//MpkREM0IiLWKq4oZvhbw5u93R8v/JFQZ2izt1tfSkYaKr6Pd5u9FSpKweGq86F7i/by1m9vMW/7PLbnbfeXJ4QkMDJlJKf3OJ0RySMalc2WbtpE6cZNGqIREZEWT8lIQ0UkgSsKSnO9QzUd+h/2ENM0eX3d6zy96ulq3XUOw0GFWcHe4r18svkTPtn8CQPjB/K3oX9jcIfBDQovr3LiqoZoRESsF+II4ccLf7Sk3dZAyUhDGQYk9IFdP8HeDYdNRsrcZdy26DbmbZ8HwMCEgVzc72JGJI0gOjiaovIi1mauZe7WuXyy+RN+2fcLl829jAuOvICbhtxEsCO4XuHlf6khGhGRlsIwjFYxXGIV3U3TGAlHeLd7NxyyWrmnnL8v+Dvzts/DaXNy14i7eOOUNzi528lEB0cDEOoMZVjSMO4aeRdfnPMFZ/c6GxOTt357i8vmXkZ6YXqdw9IQjYiItCZKRhoj4Ujvdt+hk5FHf36U73Z+h8vu4ukTnua8Pucdcj5IfEg800dP55kTnyHaFc3azLWc/9n5bMg6dDs+GqIREZHWRMlIY/iSkUP0jMzdOpe3fnsLgH8d9y9Gpoys8+nHdBzD26e9zRExR5BZksn/ffl/rNm75rDH5X+phc5ERKT+Xn31VT766KNmb1fJSGPEVw7T7NsI7oqDdmcWZ/LAjw8AcNVRVzGhy4R6N9EpohOvnPwKRyccTX5ZPlfNu+qQCUnp1q3ehc4cDiKOr397IiIizU3JSGNEdQZnKHjKIXvbQbv/texf5JbmcmTskVwz6JoGNxMZFMnzJz3PsKRhFJYXcs0317A1d2uNdfO//hqAsGOPxR4V2HVLREREmoKSkcaw2fb3juz9rdqu1XtX8/mWz7EZNu4ZeQ8OW+NuXAp1hvLk8U/SP64/OaU5/HXeX9lTuOeger5kJOKkExvVnoiISHNRMtJYCZWLnx0wifXJlU8CcGbPMxkQPyAgTYU5w5h14iy6RXYjrTCNG767gZKKEv/+8j17KFn9CwDhx58QkDZFRESampKRxvIlI1Umsf6U9hM/pv2Iw+ZgytFTAtpcbHCs/y6bdZnruHfJvZimCUD+N98AEHL00Tg7JAa0XRERkaaiZKSx/HfU7B+mefnXlwE4p/c5pISnBLzJThGdeHz849gNO59v+ZzX1r4GQIGGaEREpBVSMtJYvmfU7NsIHg9bcrfww+4fMDC4tP+lTdbssKRh3HrsrQD8e8W/+XnjfAp/+hmAiBOVjIiISOuhZKSxYrqB3QXlRZCzjbfWe9cUGd95PJ0jOjdp0+f3OZ8ze56Jx/Tw/iu3QUUFrt69CerWrUnbFRERCSQlI41ld0Cid6imcPdKPtn8CQAX9b2oyZs2DIM7ht9Bj6geHPlrHgDhJ2riqoiItC5KRgKhg/duma+3fUlxRTHdIrsxLGlYszQd6gzlX8MfZNAW7yTW77oXH+YIERGRlkXJSCBUPrH302zvyqhn9DzjkM+eCbSkX9NwVUBGFDyc/Q5rM9c2W9siItJ2XHbZZRiGgWEYOBwOunTpwtVXX012dnaTtqtkJBA69CfdbucndwEAp/U4rVmb991Fs2doNypwc+eiOyl1lzZrDCIi0jacfPLJpKWlsW3bNl588UU+/fRTrrmm4auI14WSkUDoMIDPw0MxDRiaeAwdwzs2W9NmeTn5380HYNyfbyEuOI7NuZt5csWTzRaDiIi0HS6Xi6SkJDp16sTEiROZPHkyX331VZO22aBkZNasWXTv3p3g4GCGDBnCokWL6nTcDz/8gMPhYNCgQQ1ptuUKi+frCO9zYE6NPbpZmy76+Wc8eXnYY2NJHH4c9426D4DX173Oz+k/N2ssIiJSM9M08RQVNfvLtyhmQ23ZsoW5c+fidDoDdCVqVu8HpsyePZupU6cya9YsRo8ezXPPPccpp5zCunXr6NKlS63H5ebmcskll3DCCSewZ8/Bz1RpzfYU7uFXpw3DNJlghjRr2/5n0ZxwPIbdzrjO4zi719l8uOlD7vrhLt7/w/uEOcOaNSYREanOLC5mw+Ahzd5unxXLMUJD63XMZ599Rnh4OG63m5IS7yNHHn/88aYIz6/ePSOPP/44V1xxBVdeeSV9+/Zl5syZdO7cmWeeeeaQx/31r3/lwgsvZOTIkQ0OtqWav3M+AANLy4jPqvlpuk3BNE3yv/kWqL7Q2S3DbiElLIXUglQeXfZos8UjIiKt34QJE1i1ahU//vgj119/PZMmTeL6669v0jbr1TNSVlbG8uXLue2226qVT5w4kcWLF9d63CuvvMLmzZt54403eOCBBw7bTmlpKaWl+ydg5uXl1SfMZvftTm9CMKGoCPY0350sJevWUbFnD0ZoKKEjRvjLw4PCeWDMA1z+5eW89/t7nNr91Ga71VhERA5mhITQZ8VyS9qtr7CwMHr16gXAE088wYQJE7jvvvu4//77Ax2eX716Rvbt24fb7aZDhw7Vyjt06EB6enqNx2zcuJHbbruNN998E4ejbrnPjBkziIqK8r86d27alUwbI78sn5/SfwLg+KJi2PMrNHKMrq4Kvv0OgPDRo7G5XNX2DUsaxp+O+BMA9y6+t9rTfUVEpHkZhoEtNLTZX4FYZuKee+7h0UcfZffu3QG4EjVr0ATWA7+caZo1fmG3282FF17IfffdxxFHHFHn899+++3k5ub6Xzt37mxImM3ip/SfqPBU0DWiC93dQEku5KU2S9sF31UmIxMm1Lh/2pBpJIYksiN/B8+sPvQwmoiISE3Gjx9P//79eeihh5qsjXolI/Hx8djt9oN6QTIyMg7qLQHIz89n2bJlXHfddTgcDhwOB9OnT2f16tU4HA6+/fbbGttxuVxERkZWe7VUS3cvBWBEykiIr0y40n9t8nbL09MpWbcODIPw8eNqrBMRFMGdI+4E4LW1r7Euc12TxyUiIm3PtGnTeOGFF5qsc6BeyUhQUBBDhgxh3rx51crnzZvHqFGjDqofGRnJmjVrWLVqlf81ZcoU+vTpw6pVqxg+fHjjom8BlqZ5k5GRySP9y8KT/kuTt1swfz4AIYMG4YiNrbXe8V2OZ2LXibhNN/cuvpcKT0WTxyYiIq3Tq6++ykcffXRQ+YUXXkhpaWmTTZuo962906ZN4+KLL2bo0KGMHDmS559/nh07djBlyhTAO8SSmprK66+/js1mY8CAAdWOT0xMJDg4+KDy1ii9MJ1teduwGTaGJQ+DlN9gzbuwe1WTt51f2atU2xBNVbcPv52laUtZn7We19a+xhVHXdHU4YmIiNRZveeMTJ48mZkzZzJ9+nQGDRrEwoULmTNnDl27dgUgLS2NHTt2BDzQlsjXKzIgbgCRQZGQPMi7I21Vk7brKSykaOmPAEQcf/hkJD4knluG3QLAM6ufYUde+/j3ERGR1qFBE1ivueYatm3bRmlpKcuXL+e4447z73v11VeZXzmEUJN7772XVatWNaTZFseXjAxPrhxuSh4IGN4JrAV7m6zdgsWLMcvKcHbuTFDPnnU65g89/8DI5JGUukt58McHG70qn4iISKDo2TSNsCx9GQDHJh/rLXBFQJz33uym7B0pqHwWTcTxE+p825ZhGPxjxD8IsgWxePdi5m6b22TxiYiI1IeSkQZKL0xnT9Ee7IadgfED9+9IGeTdNtG8EdPt9k9erct8kaq6RHbhqoFXAfDIz4+QV9ayF5MTEZH2QclIA63MWAlAn9g+hDqrrPvfxPNGin/5BXdWFraICEKH1P85B5cPuJxukd3YV7yPJ1Y80QQRiogIgMfjsTqEZhGI71nvu2nEa1XGKgAGJQyqvqOJe0b8q66OHYvRgKcoBtmDuGvEXVzx1RW8u+Fdzux5JkclHBXoMEVE2q2goCBsNhu7d+8mISGBoKCggKyE2tKYpklZWRl79+7FZrMRFBTU4HMpGWkgX8/IMYnHVN+RVDlkk7cLCvdBWHxA2y2Yf+hVV+vi2ORjOaPHGXy65VPuX3o/b532Fg6b/hRERALBZrPRvXt30tLSmnQJ9ZYiNDSULl26YLM1fLBFv0ANUFRexO/ZvwMwKHFQ9Z3Bkd5JrJmbvL0jvU886PiGKtu5k9KNm8BuJ/y4sY0619+G/o0FuxawPms9b//2Nhf3uzhAUYqISFBQEF26dKGiogK32211OE3GbrfjcDga3fOjZKQB1uxbg9t0kxSWRFJY0sEVkgd5k5G0lQFNRnzPogkdMgR7VFSjzhUXEsdNQ27iviX38dTKpzip60k1fxcREWkQwzBwOp04GzCk3t5oAmsD/LLXu9z7QfNFfHzzRlJXBrTdfN98kTosdFYXf+z9RwYlDKKoooh//vTPgJxTRESkvpSMNIDvgXMD4mtZ0r7jUO82dRkEaHExd14eRcu865pENGK+SFU2w8ZdI+/Cbtj5esfXLNi5ICDnFRERqQ8lIw3gS0b6xfWruULKILA5oGAP5AbmCYcFixZBRQVBPXoQVLn0fiAcEXMEl/S7BICHfnyI4origJ1bRESkLpSM1FNOSQ67C72zo4+MPbLmSs4QSKq8XXbnTwFpt2C+t9cifML4gJyvqilHTyE5LJndhbt5dvWzAT+/iIjIoSgZqad1Wd5ekS4RXYgIiqi9Yqdh3u2uZY1u03S7KVy0CICI8eMbfb4DhTpDuWP4HQC8vvZ1NmZvDHgbIiIitVEyUk+HHaLx6VT5vJpdPze6zZI1a3Dn5GCLiCBk0KBGn68m4zuP54QuJ1BhVjB9yXQ8ZvtYOVBERKynZKSe6p6MVE5iTVsN5SWNarNg4UIAwkaPbtCqq3V127G3EeoIZdXeVXyw8YMma0dERKQqJSP1tD5zPQB94/oeumJMNwiNB085pP/SqDb980WOO65R5zmcpLAkrjvmOgAeX/44+4r3NWl7IiIioGSkXnJLc9lVsAuAvrGHSUYMo8q8kYYP1ZRnZFCyztsb09hVV+vigiMvoG9sX/LL8nl02aNN3p6IiIiSkXrYlLMJgOSwZKJcdVgBtXNlMtKIO2oKF30PQPCAATjiA/ucm5o4bA7uHnk3Bgafb/mcJbuXNHmbIiLSvikZqYdN2d5kpHdM77odEICeEd98kaYeoqlqQPwAzj/yfAAe/PFBSt2lzda2iIi0P0pG6mFjjveW197RdUxGUgaDYYe8VMip/+JnZnk5hT/8AED4+HH1Pr4xrj/mehJCEtiet50X17zYrG2LiEj7omSkHnzrb/SK6VW3A1zhkHy09/32xfVur2jFSjwFBdhjYwkeUMvS800kIiiC2469DYCX1rzE1tytzdq+iIi0H0pG6sg0Tf+ckTr3jAB0HeXdbv+h3m0WLKy8i2bsGAxb8/9TndT1JMZ2HEu5p5z7l96PGaDn7IiIiFSlZKSO9hbvJa8sD7thp1tUt7of2G2Md9uAnpFC3/oizThfpCrDMLhzxJ0E24P5Of1nPt3yqSVxiIhI26ZkpI58k1e7RHbBZXfV/cAuIwADMjdCQUadDytPTaV04yaw2QgfM6ae0QZOx/COTDl6CgCP/vwoOSU5lsUiIiJtk5KROqr35FWfkBjo0N/7vh5DNb67aEKOOQZ7VB1uI25Cl/S/hF7Rvcguzebx5Y9bGouIiLQ9SkbqqN6TV6vyzxup+1BNwYLmv6W3Nk6bk3tG3gPAh5s+ZPme5RZHJCIibYmSkTryTV7tFd2QZGS0d1vHZMRTWkrh0qVA89/SW5tBiYM4p/c5AExfMp1yd7nFEYmISFuhZKQOTNNkW942AHpG9az/CXw9I3vWQlHWYasX/fQTZkkJjg4dcB1xRP3bayI3DbmJ2OBYtuRu4dW1r1odjoiItBFKRupgX/E+CssLsRk2OkV0qv8JwhMhrjdgwo7DL69edYjGMIz6t9dEolxR3DzsZgCeXf2s1h4REZGAUDJSB75ekY7hHQmyBzXsJN0rH3K3ZcEhq5mmScGCyvVFxlk/X+RAp3U/jdEdR1PmKePexffiMT1WhyQiIq2ckpE68CUjXSO7NvwkPSZ4t1u+O2S1sm3bKN+5E5xOwkaObHh7TcQwDO4ecTehjlBWZKxg9obZVockIiKtnJKROtieux2AbpHdGn6S7mPBsMG+3yE3tdZqvl6RsGFDsYWFNby9JpQSnsLUIVMBmLl8JrsLdlsbkIiItGpKRurA1zPSqGQkJAZSjvG+3zK/1mpWr7paV5P7TGZw4mCKKoq4b8l9WipeREQaTMlIHWzPq+wZqc8y8DU5zFCNp7CQwp+XARA+rmXc0lsbm2Hj3lH3EmQLYvHuxXyy+ROrQxIRkVZKychhlHvK2ZW/C2jknBGAnr5kZD7U0JNQuHQplJfj7NKFoG7dGtdWM+ge1Z1rBl0DwCM/P8K+4n0WRyQiIq2RkpHDSM1PpcKsIMQRQmJoYuNO1mkYOEOhcK93zZEDFMyvvIumhd3SeyiX9r+UvrF9ySvL46EfH7I6HBERaYWUjByGb4ima2RXbEYjL5fDtX811gOGakzT9D+PpqUP0VTlsDm4f/T9OAwH87bPY972eVaHJCIirYySkcMIyG29VfmGajZ/W6249PffqdizByM4mNBjhwWmrWbSJ7YPlx91OQAPLH2ArJLDrzIrIiLio2TkMKr2jARErxO9223fQ2mBv9i36mrYiBHYXK7AtNWM/jrwr/SK7kVWSRbTl0zX3TUiIlJnSkYOwzd5tXNE58CcMP4IiOkG7jLYun811pa86mpdBNmDeGjMQzgMB9/s+IbPtnxmdUgiItJKKBk5jF0F3mSkU3gDnklTE8OAI072vv99LgDu3FyKV64EvJNXW6u+cX25etDVAMz4cQbphekWRyQiIq2BkpFDcHvcpBWkATTsAXm1OWKSd/v7V+DxUPjDD+Dx4OrdC2fHjoFrxwKXD7icgfEDyS/P5+4f7tZwjYiIHJaSkUPYU7SHCrMCp83Z+Nt6q+o6GoLCoSAd0lfvny8ytvX2ivg4bA4eGPMAwfZglqQt0bNrRETksJSMHIJvvkjH8I6Nv623KocLeowHwPxtLgWLFgGt65beQ+ke1d3/7JrHlj3mnwQsIiJSEyUjh+CbL9IxogmGTirnjZR8/znurCxsYWGEDj4m8O1Y5IIjL2B40nBK3CXc+f2dVHgqrA5JRERaKCUjh+DrGQnY5NWqek8EoOCXrQCEjRqF4XQGvh2L2Awb94++n3BnOKv3rub5X563OiQREWmhlIwcQsDvpKkqogN0HEpBWjDQem/pPZTk8GTuGnEXAM/98hzL9yy3OCIREWmJlIwcQmp+KhDgO2mqqOh8EiWZ3t6QtjB5tSan9jiVP/T8Ax7Tw22LbiO3NNfqkEREpIVRMnII/jkj4U1zu21hVgJg4Iouxxnedv8p7hh+B10iupBemM59S+7T7b4iIlJN2/0FbKSi8iL/M1aaqmekYMVvAIQnl8BvnzdJGy1BmDOMR457BIfN+zC99za+Z3VIIiLSgigZqYWvVyTKFUVEUETAz2+63RT6bulNKYV1Hwe8jZakf3x/bjjmBgAe+ekRNudstjgiERFpKZSM1MI3X6SphmiKf/kFd24utvAwQuIqn1NT1Lafdntp/0sZmTySEncJtyy8hZKKEqtDEhGRFkDJSC12F+4Gmi4ZKVjoW3V1LEZSf/BUwIYvmqStlsJm2Hho7EPEBsfye/bvzPhphtUhiYhIC6BkpBa+h7wlhSU1yfkLF1YO0Rw3Dvqd6S389f0maasliQ+J55/H/RMDgw82fsCHGz+0OiQREbGYkpFa+JOR0MAnIxV791Kydi0A4WPHwFF/8u7Y8h3k7wl4ey3NiOQRXDvoWgAe/PFBNmRtsDgiERGxkpKRWqQVep/WmxyeHPBzFyz6HoDgAQNwxMdDXE/oNAxMT7voHQG4auBVjOk4hlJ3KdPmTyO/LN/qkERExCJKRmrRlD0jvvki4ceN3V84cLJ3+8s7AW+vJbIZNmaMmUFyWDI78ndw1w93af0REZF2qkHJyKxZs+jevTvBwcEMGTKERZW3qNbkgw8+4KSTTiIhIYHIyEhGjhzJl19+2eCAm0OFp4K9xXuBwPeMmBUVFP7wAwDhx1VZdbX/H8HmgLTVkPFbQNtsqaKDo3l8/OM4bA6+2fENr619zeqQRETEAvVORmbPns3UqVO58847WblyJWPHjuWUU05hx44dNdZfuHAhJ510EnPmzGH58uVMmDCBM844g5UrVzY6+Kayt2gvHtODw+YgNjg2oOcuXrUKT34+9uhogo86av+OsDj/w/NY825A22zJBsQP4NZhtwLw7xX/ZnHqYosjEhGR5lbvZOTxxx/niiuu4Morr6Rv377MnDmTzp0788wzz9RYf+bMmdxyyy0MGzaM3r1789BDD9G7d28+/fTTRgffVHzzRZJCk7AZgR3JKlhQeUvvmDEYdnv1nQPP825/eRc8noC225JN7jOZs3qdhcf08PeFf2d73narQxIRkWZUr1/asrIyli9fzsSJE6uVT5w4kcWL6/a/aD0eD/n5+cTGBrbHIZCa8rZe/3yRmp7Se8Qp4IqC3J3eRdDaCcMwuGvEXRydcDT5Zfnc8O0NFJQVWB2WiIg0k3olI/v27cPtdtOhQ4dq5R06dCA9Pb1O53jssccoLCzkvPPOq7VOaWkpeXl51V7NyX8nTVhg54uU79lD6YYNYBiEjRlzcAVn8P7ekeWvBrTtli7IHsTMCTNJDE1kS+4Wblt0G26P2+qwRESkGTRoDMIwjGqfTdM8qKwmb7/9Nvfeey+zZ88mMTGx1nozZswgKirK/+rcuXNDwmywpuoZ8fWKhAwciCMmpuZKQy71bn/7DAoyAtp+SxcfEs8TE57AZXexYNcCnlr1lNUhiYhIM6hXMhIfH4/dbj+oFyQjI+Og3pIDzZ49myuuuIJ3332XE0888ZB1b7/9dnJzc/2vnTt31ifMRmuqZKTQtwR81Vt6D5R0FHQc6l0eftVbAW2/Negf35/7Rt0HwItrXuTTzS13bpGIiARGvZKRoKAghgwZwrx586qVz5s3j1GjRtV63Ntvv81ll13GW2+9xWmnnXbYdlwuF5GRkdVezSm9KPDJiFlWRuEP3nk14ceNO3TlIZd5t8tfbVcTWX1O63Ealw+4HIC7F9/Nz+k/WxyRiIg0pXoP00ybNo0XX3yRl19+mfXr13PTTTexY8cOpkyZAnh7NS655BJ//bfffptLLrmExx57jBEjRpCenk56ejq5ubmB+xYB1hRzRopWrMRTVIQ9Lo7g/v0OXXnAHyEoArK3wraFAYuhNblx8I1M7DqRCk8FN353I1tytlgdkoiINJF6JyOTJ09m5syZTJ8+nUGDBrFw4ULmzJlD165dAUhLS6u25shzzz1HRUUF1157LcnJyf7XjTfeGLhvEUBF5UXklnoTpUD2jPjvohk7FsN2mMseFLZ/IutPLwQshtbE94TfQQmDyC/L5+qvr2Zf8T6rwxIRkSZgmK1gDe68vDyioqLIzc1t8iGbrblb+cNHfyDMGcbSC5cG7LybTz+dsk2b6fj4Y0SeeurhD8hYD7NGgGGDG1ZCTLeAxdKaZJdkc/EXF7M9bzv94vrxyqRXCHWGWh2WiIjUQV1/v/VsmgPsLfIuA58YWvvdPvVVtmsXZZs2g91O2OjRdTsosS/0PN778LwfnwtYLK1NTHAMs06YRYwrhnWZ67h54c2Ue8qtDktERAJIycgBMoq9t9MmhgQuGSmY713ALPSYY7BHRdX9wBHXercr/gslzbvWSkvSJbILTxzvveV34a6F3P3D3XjM9jexV0SkrVIycgBfz0hCaELAzlnw3XcAhE+YUL8De50A8X2gLB9WvhGweFqjQYmDvA/VMxx8tuUzHv7pYT3lV0SkjVAycoCMIm/PSKCSEXdBIUU//QRA+ITx9TvYMGCE9y4lfnwW3BUBiam1Oq7TcTw45kEMDN7+7W2eXvW01SGJiEgAKBk5wN7iyjkjARqmKVz8A2Z5Oc6uXQjq3r3+Jxh4PoTEQs52WPthQGJqzU7tcSp3Dr8TgOd+eY7X175ucUQiItJYSkYOEOhhGt98kYjx4+u0ZP5BgkJh5DXe94sebZeLoB1o8pGTueGYGwD417J/8e6Gdy2OSEREGkPJyAF8wzSBuJvG9HgoWOBNRsLHj2/4iY79i/dpvnt/8z6zRrjyqCu5rP9lANy/9H7+9/v/rA1IREQaTMlIFaZp+odpEkIa3zNSsmYN7sxMbOHhhA4Z0vATBUfB8L943y/8F2jiJoZhMG3INC7udzEA05dMV0IiItJKKRmpIq8sj1J3KRCYYZr8+fMBCBszBiMoqHEnG3ENOMMg/Rf4/ctGx9YWGIbBzUNv5qK+FwFKSEREWislI1X45otEuaJw2V2NPl/Bd/MBiJgwvtHnIjQWhl3hfT//Ic0dqWQYBrcMu6VaQqI5JCIirYuSkSp8C54FYoimPC2N0t9+A8Mg7LjjGn0+AEbf6H2AXtpqWKc7a3wOTEjuX3o/L//6ssVRiYhIXSkZqcJ/J00AkhHfxNWQQYNwxMQ0+nwAhMXDaO9dJHxzP7i1LLqPLyG5fMDlAPx7+b+ZuXymFkYTEWkFlIxU4Z+8Goj5Ig1ddfVwRlwDYYmQvRWWvxrYc7dyhmFw05CbmDp4KgAv/foS9y+9H7fHbW1gIiJySEpGqgjUQ/I8RUUULfE+8Td8/LhGx1WNKxzG3eJ9v+ARKC0I7PnbgCuOuoJ7Rt6DgcH/fv8fty26jTJ3mdVhiYhILZSMVBGo23oLly7FLCvD2bEjrt69AxFadYMvhZjuUJjhXQhNDvKnI/7EI+MewWFzMHfbXP4676/kluZaHZaIiNRAyUgVgVrwLP+bbwDvQmcNWnX1cBxBcPIM7/vFT8G+TYFvow04udvJPH3804Q5w1i2ZxkXzbmInfk7rQ5LREQOoGSkikAsBW+63RR8650vEnHiCQGJq0ZHnAy9TgJPOcy9VQuh1WJUx1G8dvJrdAjtwLa8bVw05yJ+2fuL1WGJiEgVSkYqBWr11eIVK3BnZ2OLiiJ06NBAhXcww4BT/gn2INj0NWz4ounaauX6xPbhrdPeom9sX7JKsrj8y8v5cpsWjhMRaSmUjFTKK8uj3OO9VTYuJK7B58n/+mug8sF4TmdAYqtVXE8Yea33/Re3QGl+07bXiiWGJvLqya9yXKfjKHWX8vcFf+c/K/6jO21ERFoAJSOVskqyAAh3hjd49VXTNMn/unK+SFMO0VR13M0Q3QVyd8LX9zVPm61UqDOU/0z4D5f0uwSAF9e8yHXfXqeJrSIiFlMyUimzOBNoXK9I6W+/UZ6aihEcTPiYMYEK7dCCwuAPT3rf//wCbPuhedptpRw2BzcPu5mHxz5MsD2Y71O/58LPL2RTtiYBi4hYRclIpcySymQkuBFDNPO8QzRho0djCwkJSFx10mO893ZfgE+ug7Ki5mu7lTqtx2m8fsrrpISlsCN/BxfOuZDPtnxmdVgiIu2SkpFKgegZ8d3SG3HiiQGJqV4m3g8RKZC1Bebd3fztt0J94/ryzunvMDx5OMUVxdy+6Hbu+uEuisqVzImINCclI5V8PSOxwbENOr5s505KN2wAuz3wq67WRXAUnFlluOa3Oc0fQysUExzDcyc+x9VHX43NsPHRpo84//Pz2ZC1werQRETaDSUjlfw9Iw0cpvEN0YQOHRq4B+PVV68TYeR13vcfXwN5u62Jo5Wx2+xcM+gaXpz4IokhiWzN3cqFn1/IO7+9owftiYg0AyUjlfxzRho4TOO/pdeKIZqqTrgHkgdBcTZ88BfQrat1NixpGP/7w/8Y23EsZZ4yHvzxQaZ8PYX0wnSrQxMRadPadTLy5dp0nv5uE/9dso0tmd4fnBhX/YdpyvfsoXjlSqCJV12tC0cQ/OllcIbBtkXw9b3WxtPKxAbH8tQJT3HLsFtw2V0s3r2Ysz8+m483faxeEhGRJtKuk5HPf0njX19u4K6P17ItZw8A097ezLVvruD95bsoLK2o03nyv/wKTJOQY47BmZzclCHXTVxPOPMp7/vFT8Ca96yNp5WxGTYu7ncx757xLkfFH0VBeQH/+OEf3PDdDf5HBoiISOC062RkZM84zh3SiUn9O2B3FgJQUBTC52vS+Nv/VnPsg19z63u/8GvqoRfFyvvCuxR75CknN3nMdTbgjzDmJu/7j6+DtNXWxtMK9YjqweunvM6Ng2/EYXMwf+d8zvzoTGb/NhuP6bE6PBGRNsMwW0Hfc15eHlFRUeTm5hIZGRnw8xeVFzH8reEAPD92Lks2FfDpL2ls3Vfor3PcEQlcO74nx3aPrfYk3vK0NDZNOB4Mg17zv8PZoUPA42swjxvemgyb5kFkR7hiHkR1tDqqVmlD1gbuXnw36zLXATAwYSB3j7ibPrF9LI5MRKTlquvvd7vuGfHx3UkTbA9mRPcUpk3sw7d/G8e7fx3JH45OwWbAwt/3Mvn5pVz4wo+s3pnjPzZvrveBayFDBresRATAZodzXoS43pCXCm/+CYpzrI6qVeoT24e3Tn2L2469jTBnGL/s/YXJn03msWWPUVheePgTiIhIrZSMUP1OGl+vh2EYHNs9licuOIb5f5/An4d3IchuY8mWTM58+geufXMF2/YVkje3cojm5FMsi/+QQqLhovchPAky1sE7F0J5idVRtUp2m50/9/0zH5/5MSd1PQm36ebVta9y+oen8+HGDzV0IyLSQEpGOPwaI13iQnnw7KP49u/jOGdwJwwDPl+TxoX3f0jJ6l/AMIicNLE5Q66fmK5w0XvgioTtP8B7l0NFmdVRtVodwjrw+PjHeer4p+gc0Zl9xfu4e/HdnP/Z+fyc/rPV4YmItDpKRqiy+mrIoW/r7RQTymPnHc0XN45lQp8ERu5aBcCvCT15cV0eJeUteE2PpKPg/DfB7oINn8N7/6eEpJHGdR7HR2d+xN+G/I1wZzjrs9Zz+ZeXc9N3N7Eld4vV4YmItBpKRqj/6qtHJkXyyv8dy2UlvwPwXfJAHv7iN054bAEfr0rF42mhc4K7Hwfnv+VNSH77TAlJAATZg7hswGV8/sfPmdxnMjbDxtc7vubsj8/mH9//g135u6wOUUSkxVMyQsNWXy35/XccmzeCw8HEq/9MUmQwqTnF3PjOKs6e9QM/bslsqnAbp/eJ1ROS2RdBmSZgNlZscCz/GPEP3jvjPcZ3Ho/H9PDx5o8546MzeGDpA2QUZVgdoohIi6VkBMgqyQLq91yavE8+ASB8/DjOGt+P7/4+npsn9SEsyM7qXblMfn4pf3l9GVv2FjRJzI3iS0gcwbDxS3jtD1DYQpOnVqZ3TG+ePP5J3jr1LUYmj6TCU8HsDbM55f1TeGDpA+opERGpgZIR9g/THG7OiI/pdpP7yacARJ15JgAhQXaundCL+Td777yxGfDVuj1M/PdC7vn4V7IKW9hwSO8T4ZJPICQGUpfByxMha6vVUbUZRyUcxfMTn+flSS8zOHEwZZ4yZm+Yzekfns6tC2/VU4FFRKpQMkL9e0YKly6lIiMDe1QU4ePGVduXEOHiwbOP4supx3H8kYlUeExeW7KdcY98x7MLNresSa5dhsPlX0JUZ8jcBC9MgM3fWR1VmzIsaRivnvwqL096mdEpo3GbbuZsncOfPv0T13x9DUvTluqZNyLS7ikZAXJKcwCIccXUqX7uxx8DEHHqKdiCgmqs07tDBC9fNow3rxxOv+RI8ksrWuYk14Q+3pVZUwZ7n/T7xh/hhydAP5ABYxgGw5KG8exJz/Lu6e9ycreTsRk2FqUu4qqvruKsj8/ind/eoai8yOpQRUQs0e6Xg3d73Bzz32MwMfnuvO+ID4k/dP2CQjaOHYtZXEy3d94mZNCgw7bh8Zh8sDKVR7/cQHqed8GxoztFMfXEIxjfJ6Ha8vKWKS+Bz6fBqje9n/ueAWc8AaH1f4qxHN6OvB38d91/+WTzJxRVeJOQcGc4Z/U6i/P6nEf3qO4WRygi0nh1/f1u98lIVkkW42Z7h1pWXLwCp815yPrZs98l/Z57COrWjR5fzKlXIlFc5ual77fwzPzNFJZ5h2v6JkdyzfienHpUMnabxUmJacLPL8Lc28BTARHJcPaz0GO8tXG1Yfll+Xyy+RPe/u1ttudt95cfk3gMZ/U6i0ndJhHmDLMwQhGRhlMyUkdbcrZw5sdnEhEUweILFh+2/tY/nkPJunUk3nILcZf/X4Pa3JtfyguLtvDG0u0UVSYl3eJC+ctxPTn7mI6EBNkbdN6A2b0S3r8KMjd6P4+4BibcCa5wa+NqwzymhyW7l/D2b2+zKHWRf2n5EEcIJ3U9ibN7nc3gDoOxGRpZFZHWQ8lIHS3fs5zL5l5G18iufHb2Z4esW7zmV7adey6G00mvhQtwxNRtjkltcorKeHXxNl5dvI2conIAIoMdnDe0MxeP7ErXOAv/F3FZIXz1D1j2svdzVGc47TE4YpJ1MbUTGUUZfLr5Uz7a9BHb8rb5y5PCkpjUdRIndz+Z/nH9W8bwnojIISgZqaNvtn/D1PlTOTrhaN449Y1D1t39j3+Q+977RJ5+Oh0f/VfAYigsreDtn3bw+pLt7Mjyzh8wDBh/RALnH9uFCX0SCXJY9L+IN34Nn98EOTu8n/v+ASbeDzHdrImnHTFNk9V7V/Phpg/5ctuX1Z4O3Cm8E5O6eROTPjF9lJiISIukZKSO3vv9Pe5bch/jO43nyROerLWeOz+fjceNwywuput/Xyd02LCAxgHg9pgs+D2D15dsZ/6Gvf7ymFAnZxydwjmDOzGwU1Tz//CUFcL8h2HJ02C6wR4Ex/4Fjvu7d50SaXIlFSV8n/o9c7fNZeGuhRRXFPv3dQzvyHGdjmN8p/EMTRpKkL3mO7xERJqbkpE6euGXF3hi5ROc1ess7h99f631sl57jT0zHiaoZ096fPZpkycEW/cV8s5PO/hwZSoZ+aX+8h4JYZw6IJmTByTRPyWyeROT9DXw5Z2wdYH3c3A0jJkKw64EV0TzxdHOFZUXsTB1IV9u/ZJFqYsode//+whzhjEqZRTjO49nVMqow94dJiLSlJSM1NEjPz/Cf9f9l//r/39MGzqtxjpmRQWbJ06ifPduku67j5jJ5wU0hkOpcHv4YXMmH6zYxZdr0ykp9/j3dYwOYVL/JE7q14EhXWOaZyjHNGHT1/DVXbB3vbcsOBpGXO3tLdGtwM2quKKYpbuXsmDXAhbsWsC+4n3V9veO6c2I5BGMSB7B0A5DCXWGWhSpiLRHSkbq6I5Fd/Dplk+ZNmQa/zeg5rtj8ubMIXXa37DHxtLr22+wBQcHNIa6yi8p55v1Gcz9NZ35v2dUS0xCg+yM7BHH2N7xjD0igR7xYU3ba+KugDX/g0WP7b/rJigcjr7A21OSeGTTtS018pge1mWuY/7O+SzctZD1Weur7XcYDgYmDGR48nAGJQ7i6ISjdduwiDQpJSN1dPXXV/N96vdMHzWds3uffdB+0zTZdt5kStasIf6660i47tqAtt9QxWVuFm7cy5e/prPg971kHvDsm6TIYIZ0i2Fo1xiGdo2lb3IEDnsT9Jx43LDuY29SsufX/eXdxnqTkj6ngMMV+HblsLJLsvkx/UeW7l7K0rSlpBakVttvM2z0ienDMYnHcEziMQxKHERSWJJF0YpIW6RkpI4u+OwCfs38lSePf5LxnccftL9w8WJ2XH4FhstFr+++xRHb8oYhPB6T9el5LNq4j0Ub9/Lz1mzK3J5qdUKcdgZ1jmZgpyj6pUTSPyWS7vHhgVtozTS9c0l+egE2zIHKdTIIjob+Z8PAydBlhPc2IbHEzvydLE1byvI9y1m5ZyW7C3cfVCcpLIl+sf3oF9eP/vH96RfXj9jglvc3LyKtg5KROjr5/ZNJLUjlv6f8l0GJg6rtM02T7edfQPHq1cRcfDFJd94R0LabSnGZm1U7c1i+PYtl27NZsT2bvJKKg+qFOO0cmRxB/5RIeidG0DMhnJ6JYSRFBjduiCdnJyx/BVa9Bflp+8uju8CRZ8CRp0LnEWB3NLwNabT0wnRWZaxiZcZKVmasZEP2Bv9ia1UlhSXRP86bmPSO7k2vmF50DO+oBdhE5LCUjNTRiLdGUFheyGdnf0bXyK7V9uXPn8+uKVdjBAfTa95XOBISAtp2c/F4TDbtLWDF9mx+3Z3L2t15/JaWT3EtTxAODbLTIyGMngnhdIsLo1NMCJ1iQukUE0JyVHDdh3s8bti2CH551zuUU1awf19IDPSeBL1Pgu7HQXhiAL6pNEZheSHrMtexLnMdazPXsj5zfbVF16oKcYTQM6onvWJ60Su6F72je9MzuieJoYla80RE/JSM1EGZu4whbwwB4IcLfiAyaP+5zYoKtp7zJ0o3bCDuyitI/PvfA9ZuS+D2mGzdV8ja3bmsT8tn894CNu8tYEdmERWHeKKw3WaQFBlMx5gQOkWHkBgZTGKEi8RIF4kR+9+HBh3Q61FW5L0LZ8Mc+H2u9wnBVSX28yYl3Y/z9pqExTXBt5b6yi/L57es31iXuY71WevZlL2JLblbKPeU11g/xBFC54jOdI3sSpeILnSN7Op9H9mFuOA4JSoi7YySkTrYU7iHE987EbthZ+XFK6v9hzLrjTfZ88AD2KKi6Dn3i0Yv/d5alLs97MgqYnNGAZv3FrIjq5Bd2cXsyi4mNbv4oLkotQl3OUiIcBEXFkR0aBAxoU5iwoKIDnUSG2yje9EaOu9dQGzGEoIz1x18gphu0HEodBrq3SYdBU5r7mKS6io8FezI38Gm7E1sztnMxpyNbMrZxI68HbjNmnvbwLsGSqfwTiSHJZMcnkxKWEq1rZIVkbanrr/f7XrQPqc0B4BoV3S1/whW7N3L3v/8B4DEm6a2m0QEwGm3eeeOJBz8UDyPx2RfQSk7s4vZlV1Eak4xGXml7M0vJSO/pHJbSlGZm4LSCgpKK9i6r7CGVsD7p3cCcAIx5DHCtp7R9rWMsq+nB6mQvc37+vU9b9vYyHJ1Iiu8N3mRvSmIOoLi6D64Y7oS7AwiJMhOsNNOsNNGiNNOSJCdEKe3zOWw6UcugBw2Bz2ietAjqke18nJ3OakFqezI38H2vO3+1468HaQVplFYXsiG7A1syN5Q43mDbEEkhyeTFJZEQkgCCSEJxIfEkxDq3SaGJpIQkqC1UkTaoHadjGSXeocKYoL3JxumabL7H//Ak59PcL9+RJ97rlXhtTg2m+EdlokMZkjX2hO0gtIKMvJKyMgvJbuwjOyicrKLysgp8r73bb1l5eQURfKFZzhfeIZDOURSwNG2LQwyNjHItplBtk3EGfnEl+4gvnQHZH7jb6vMtLPTTGS72YHfzQ5sNzuwzezATjORNDOOIry9KSGViUqQw/ty2m0E2Su3DhtOu4HTbsNVuc9ZZV9Q5T7/cQ4bdpuBw2ZU2dqw28Bus1Urt1WrV3mc3cBmVCm3V9Y1vHVsNu9wmM0wMAywGUblC4zKra9s//79+6xKvJx2J92iutEtqttB+0rdpezK30VqQSppBWmkFaaxu3A3aQXe7d6ivZR5yvwJzKGEOkL9CUpscCzRrmiiXdHEBMf4tzHBMcS4vJ9DHCFKRkVauAYlI7NmzeJf//oXaWlp9O/fn5kzZzJ27Nha6y9YsIBp06axdu1aUlJSuOWWW5gyZUqDgw6UnJIcwNsz4pP12msULliIERRE8sMzMOx2a4JrxcJdDsITwulRQ+9KTUzTrNabUlDi3eaXVJBTWsFnJeV48tMJzd5AVP7vxBZuJqlkM0ll2wmijJ5GGj1Jq/HceWYoaWYs6WYsaWWx7CmLJc2MJdOMJNOMJIsIssxI8ggF2s4PVm0Ji/+z7fAJjmHsvyKGYXjfVxYYVcoMf5lR7c7tqvv317FhGB0x6OirRAQQYVTgNnIoNzJx23KoMHJx23KpIBe3kUu5kUuFkYtplFJUUVSnpMUfh+nEQTgOwnAQip1Q7IRgJxSHb2uE+Mt9dRyEYCMYGy6MWv42astxDvWXVPsxtR9V6zGHaKjW8x3ymNraOURstR7TPO20aK0s6ItGdGVwF2tGAuqdjMyePZupU6cya9YsRo8ezXPPPccpp5zCunXr6NKly0H1t27dyqmnnspVV13FG2+8wQ8//MA111xDQkIC55xzTkC+REMd2DOS99VXZPzzEQASb7mF4COOsCy29sQwDMJcDsJcDjrUWqs7MLJ6kccNebsha4v3lb218v1W7xBPWQGRRhGRRhF92HXIGDyGg7KgaEqCYih2xlDsiKLEHk6JLYxiWxhFRiiFtjAKjDAKzFAKjVAKjTAKjVCKzSBKTCcVpkGFx8TjManweHB7TCo8Ju4qrwr/1oPHQ/V6bhO36X1vmiYeEzymSUNmdfmOhRY/JawKB9Ch8lULWymGIw+bIx/DkY9hL6x8FXm3jqIqZYUYNjemUU452ZSTXft5D8E0DfA4MU0XeIIwK19U3da0z3RWHucA01HlvRPT491iOirfOwD9Dx+x1vg+iZYlI/WewDp8+HAGDx7MM8884y/r27cvZ511FjNmzDio/q233sonn3zC+vX7l6aeMmUKq1evZsmSJXVqs6kmsD6z6hlmrZ7Feb3O5drN3dnzz3+C20305Mkk3XuPunZbu5I87zoneanepKXqq2gfFO6Doszqtxw3hjMUnCFVtiHgDKvyvrLc4fI++djuBLvLuz2oLAgcQWAPwrQ5Me1BeGxOsAfhMWyYhgMPBh7D4f2Md+sxbHiwYxp2PNjxGDbcVKmPUZngeJMdszJp8SU9nspyt2d/ImOa3ne+/1KYpun/bPqSnQPrYFY5zvRVqaxX5bw11DFNf+1qbZsHle3/T9dB+yu/S5m7mCJ3HoXuXEoqCijxFFLqLqTEXbj/vaeQEncBpZ4iStyFlHoKK7dF/jiagw07DiMIu82Jw3DhMJzYDSd2w4HNcGCvfNmwYzec2Az7/n04Kj9XKcfh37//vb3ysx0DA5thr+ytsmHDjg0bVL73lu3fB77P9urlxgHllfsMs3LrbalO/z2t7dfIbFVJdet1/JGJ9EoM7ENPm2QCa1lZGcuXL+e2226rVj5x4kQWL15c4zFLlixh4sSJ1comTZrESy+9RHl5OU6n86BjSktLKS3d/yTSvLy8+oRZZ2HfLuOKn92MzpjLnlTv/2qKOussku76hxKRtiA40vtK6HPoeuUl3uSkKHN/glKc7U1mSnKgNM/7vqZteVGV8xRVfs4M6NcwKl8BWWLMsIPNAbbKrWHzvje8P0JgVL6vsj2orIZ6GNWPqVanLvX8A0KVm4Z+pub9dTpHCDhCAO96Qh6gBA9FpodiPBRRuTU9FJnuyjK3d7/prtzv9u8vxUOp6aGscluKZ39Z5efyKj+yHtyUmcXgLj7cv2Kr5f07Ng7Y7h/i85V505fKcl8dY/9xtsqz2aqcxzB8x+w/3lb5b2szqp9v//bA+PYPbu0fWqw+5OV7X/Wv5+C9VfcffM4Dz1PTOf31jJrOWf3/1hxT9W9X/ZwHxwFQnHAFJP4JK9QrGdm3bx9ut5sOHap3o3bo0IH09PQaj0lPT6+xfkVFBfv27SM5OfmgY2bMmMF9991Xn9AaJG7FNoatNIFsbKGhJNx0EzEX/VmJSHvjDIaoTt5XfXncUF5c+Sqs3BbtLyurocxdCu4ycJdDRZX37tJayqrWLQfT7W3XU1HlfZXPNayi6me6we2G2u/AlUo2ILTy1VTcQJlhUGYYlFRuSw2DUgNKDRulBlQYBhWGQTne9+WGQQV4t4ZBuQEVeMurvq8wOLhu5Xu3AR68dbw9ZuA2wI1vX9X3vnrgNowD9nlj8gCeuvR8AG5/AmYevPNwB0uTGpnxK0f1bQXJiM+BP9amaR564lEN9Wsq97n99tuZNm2a/3NeXh6dO3duSKiHFHnSSWzu+AtdB4yk35mXYg/w6q7SDtjs4Ar3vmghK/Sa5v7kpLaExVOxv8yXwJhmZSJTuTU9leMhB5ZVee8vN2s5vrYys3qZL27vmwB/PuDaNEkbdf1cPRw7EFL5ijo42sMI4K9zAJabMk0TNx48eOc+eTCpMD3ePyFMPL6tb5gPbx0TDijzDfN563oqv6ench+VZf56Bx1ftWz/5wPbPjAlqlbmvxxm9f1Vhxz92ypDjAccVfWyHtzm/liqXUcOGLY8KBIOGVO19g+oT5VzH1gOcETHEVilXslIfHw8drv9oF6QjIyMg3o/fJKSkmqs73A4iIureZVNl8uFy9X0T3ode+lth68k0toYhve5P3r2jzQjg3a+VoQ0Sr2GoYOCghgyZAjz5s2rVj5v3jxGjRpV4zEjR448qP5XX33F0KFDa5wvIiIiIu1LvefETZs2jRdffJGXX36Z9evXc9NNN7Fjxw7/uiG33347l1xyib/+lClT2L59O9OmTWP9+vW8/PLLvPTSS/y9jT3rRURERBqm3r1qkydPJjMzk+nTp5OWlsaAAQOYM2cOXbt2BSAtLY0dO3b463fv3p05c+Zw00038fTTT5OSksITTzxh+RojIiIi0jK06wfliYiISNOp6+93QJYuEBEREWkoJSMiIiJiKSUjIiIiYiklIyIiImIpJSMiIiJiKSUjIiIiYiklIyIiImIpJSMiIiJiKSUjIiIiYqlW8ZBF3yKxeXl5FkciIiIideX73T7cYu+tIhnJz88HoHPnzhZHIiIiIvWVn59PVFRUrftbxbNpPB4Pu3fvJiIiAsMwAnbevLw8OnfuzM6dO/XMmyama908dJ2bh65z89B1bh5NeZ1N0yQ/P5+UlBRsttpnhrSKnhGbzUanTp2a7PyRkZH6Q28mutbNQ9e5eeg6Nw9d5+bRVNf5UD0iPprAKiIiIpZSMiIiIiKWatfJiMvl4p577sHlclkdSpuna908dJ2bh65z89B1bh4t4Tq3igmsIiIi0na1654RERERsZ6SEREREbGUkhERERGxlJIRERERsVS7TkZmzZpF9+7dCQ4OZsiQISxatMjqkFqsGTNmMGzYMCIiIkhMTOSss85iw4YN1eqYpsm9995LSkoKISEhjB8/nrVr11arU1payvXXX098fDxhYWH84Q9/YNeuXdXqZGdnc/HFFxMVFUVUVBQXX3wxOTk5Tf0VW6QZM2ZgGAZTp071l+k6B0ZqaioXXXQRcXFxhIaGMmjQIJYvX+7fr+vceBUVFfzjH/+ge/fuhISE0KNHD6ZPn47H4/HX0XVumIULF3LGGWeQkpKCYRh89NFH1fY353XdsWMHZ5xxBmFhYcTHx3PDDTdQVlZWvy9ktlPvvPOO6XQ6zRdeeMFct26deeONN5phYWHm9u3brQ6tRZo0aZL5yiuvmL/++qu5atUq87TTTjO7dOliFhQU+Os8/PDDZkREhPn++++ba9asMSdPnmwmJyebeXl5/jpTpkwxO3bsaM6bN89csWKFOWHCBPPoo482Kyoq/HVOPvlkc8CAAebixYvNxYsXmwMGDDBPP/30Zv2+LcFPP/1kduvWzRw4cKB54403+st1nRsvKyvL7Nq1q3nZZZeZP/74o7l161bz66+/Njdt2uSvo+vceA888IAZFxdnfvbZZ+bWrVvN//3vf2Z4eLg5c+ZMfx1d54aZM2eOeeedd5rvv/++CZgffvhhtf3NdV0rKirMAQMGmBMmTDBXrFhhzps3z0xJSTGvu+66en2fdpuMHHvsseaUKVOqlR155JHmbbfdZlFErUtGRoYJmAsWLDBN0zQ9Ho+ZlJRkPvzww/46JSUlZlRUlPnss8+apmmaOTk5ptPpNN955x1/ndTUVNNms5lz5841TdM0161bZwLm0qVL/XWWLFliAuZvv/3WHF+tRcjPzzd79+5tzps3zxw3bpw/GdF1Doxbb73VHDNmTK37dZ0D47TTTjMvv/zyamV//OMfzYsuusg0TV3nQDkwGWnO6zpnzhzTZrOZqamp/jpvv/226XK5zNzc3Dp/h3Y5TFNWVsby5cuZOHFitfKJEyeyePFii6JqXXJzcwGIjY0FYOvWraSnp1e7pi6Xi3Hjxvmv6fLlyykvL69WJyUlhQEDBvjrLFmyhKioKIYPH+6vM2LECKKiotrVv821117LaaedxoknnlitXNc5MD755BOGDh3KueeeS2JiIscccwwvvPCCf7+uc2CMGTOGb775ht9//x2A1atX8/3333PqqacCus5NpTmv65IlSxgwYAApKSn+OpMmTaK0tLTasOfhtIoH5QXavn37cLvddOjQoVp5hw4dSE9Ptyiq1sM0TaZNm8aYMWMYMGAAgP+61XRNt2/f7q8TFBRETEzMQXV8x6enp5OYmHhQm4mJie3m3+add95hxYoV/Pzzzwft03UOjC1btvDMM88wbdo07rjjDn766SduuOEGXC4Xl1xyia5zgNx6663k5uZy5JFHYrfbcbvdPPjgg1xwwQWA/p6bSnNe1/T09IPaiYmJISgoqF7Xvl0mIz6GYVT7bJrmQWVysOuuu45ffvmF77///qB9DbmmB9apqX57+bfZuXMnN954I1999RXBwcG11tN1bhyPx8PQoUN56KGHADjmmGNYu3YtzzzzDJdccom/nq5z48yePZs33niDt956i/79+7Nq1SqmTp1KSkoKl156qb+ernPTaK7rGohr3y6HaeLj47Hb7QdlbRkZGQdleFLd9ddfzyeffMJ3331Hp06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- "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:34:58.731792\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(results_test_np[:,0])\n", - "plt.plot(results_test_np[:,1])\n", - "plt.plot(results_test_np[:,2])\n", - "plt.plot(results_test_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"SEIR_fit.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"a\": 0.09996917098760605, \"g1\": 0.24255302548408508, \"g2\": 0.19910137355327606},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_test = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(1.0925e-05, grad_fn=)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result_test)" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - }, - "kernelspec": { - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb b/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb deleted file mode 100644 index e4a625f4..00000000 --- a/examples/ode/SEIR/SEIRTest_fitRandomSample.ipynb +++ /dev/null @@ -1,441 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Rossler Attractor equations\n", - "dt = 0.01\n", - "\n", - "def s_prime(prev_val, coeffs):\n", - " return - coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"]\n", - "\n", - "def e_prime(prev_val, coeffs):\n", - " return coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"] - coeffs[\"g2\"]*prev_val[\"e\"]\n", - "\n", - "def i_prime(prev_val, coeffs):\n", - " return coeffs[\"g2\"]*prev_val[\"e\"] - coeffs[\"a\"]*prev_val[\"i\"]\n", - "\n", - "def r_prime(prev_val, coeffs):\n", - " return coeffs[\"a\"]*prev_val[\"i\"]\n", - "\n", - "ode = {\"s\": s_prime, \"e\": e_prime, \"i\": i_prime, \"r\": r_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"s\": 0.1, \"e\": 0.9, \"i\": 0, \"r\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7973e-03, 8.9910e-07],\n", - " [9.9999e-02, 8.9641e-01, 3.5892e-03, 3.5928e-06],\n", - " ...,\n", - " [3.3031e-02, 1.5079e-01, 4.4694e-01, 3.6924e-01],\n", - " [3.2987e-02, 1.5053e-01, 4.4679e-01, 3.6969e-01],\n", - " [3.2943e-02, 1.5028e-01, 4.4664e-01, 3.7014e-01]],\n", - " grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:15:42.013360\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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mybzDJqExpG+B/90EoYDVVYmISA1w8cUX06lTJ5544okK24fCSE3hbVZ4y2887FwIM+/SLb8iIlIuJk2axKuvvsrevRUz+rfCSE3S5Fy45m2wOWDDh7DgMasrEhGRauStt95ixowZJ7Rfd911+P1+mjdvXiH7VRipac65FK78l7m89FlY+Yq19YiIiPwMhZGa6LzrYdAfzOXPfw9bPrG2HhERkZ+gMFJT9b8Pev6S6Bgke5ZZXZGIiMhJKYzUVDYbXPZ3aDcCwn54/1pI/87qqkRERE6gMFKT2R1w1evQvBcU+ODdsZB1wOqqRERESlAYqelcsfCLD6DeOZC1D969CvIzra5KRKTGM2rJ8Arl8TkVRmqDuLpww1RIaATpm+H9X0Agz+qqRERqpKIZbvPyasfv2aLPeSYz+2o4+NqiTkszkLw5AlKXwUfj4dr3wFGx00KLiNQ2DoeD5ORk0tPTAYiLi8Nms1lcVfkzDIO8vDzS09NJTk7G4XCU+WcpjNQmjbvAdR/Af0bD91/AjDth9Mtg1wkyEZHy1LhxY4BoIKnJkpOTo5+3rBRGapuWfeCad+CD62Dj/yC2Dgz/m3n3jYiIlAubzUZKSgoNGzYkGAxaXU6FcblcZ3RGpIjCSG3UdiiMegmm3Q6rXjb7lFz8oNVViYjUOA6Ho1y+rGs6nZ+vrbpeDZc9bS4vnAwrX7a2HhERqbUURmqzC26Hix82lz//PXz7obX1iIhIraQwUttd9HvoNcFcnnEHbJtjbT0iIlLrKIzUdjYbDJ0MXceBEYaPboZdi62uSkREahGFETFv7R35b2g7HEIF8N9rIXWl1VWJiEgtoTAiJocLrn4LWg+EYC68dxXsX2d1VSIiUgsojEgxVwxc+19o2Rf8WebgaAc3WV2ViIjUcAojUpI7Dq77EJr2hIJMeGckHN5udVUiIlKDKYzIiTyJ5jw2jbtCXga8cyUc3Wl1VSIiUkMpjMjJxSbDjTOgQQfIToO3R0LmXqurEhGRGkhhRE4tvh7c9AnUbQO+VPMMSVaa1VWJiEgNozAiPy2xEdw8E5JbmJdq3hkJOYetrkpERGoQhRH5ed5mcPOnkNgEMrbB25crkIiISLlRGJHTU+csGD8LElPg8HcKJCIiUm4URuT01WsD4z/7USBJt7oqERGp5hRGpHSigaRJYSC5QoFERETOiMKIlF69NoWXbBRIRETkzCmMSNn8OJC8pUs2IiJSNgojUnbHB5KMbQokIiJSJgojcmaKAklS0+JAkn3I6qpERKQaURiRM1evjTkOSVEgeXM4+PZZXZWIiFQTCiNSPorusvG2gKM74I3hcHSX1VWJiEg1oDAi5aduK/jl58Vz2bw5HA5vt7oqERGp4hRGpHx5m8EtnxfP9vvWZXBwk9VViYhIFaYwIuUvsZF5yaZxV8g9DG+NgP3rrK5KRESqKIURqRjx9cxOrc3Oh4JMc7bf1BVWVyUiIlVQmcLIlClTaNWqFTExMfTo0YMlS5b85PZ+v59HHnmEli1b4vF4aNOmDW+88UaZCpZqJDYZbpwOZ/UHfxb8ZzTsXGR1VSIiUsWUOox8+OGHTJw4kUceeYT169fTv39/hg8fTmpq6infc80117BgwQJef/11tm3bxvvvv0/79u3PqHCpJjyJcN3/oM1gCObBe1fDtjlWVyUiIlWIzTAMozRv6NWrF927d+fFF1+MtnXo0IFRo0YxefLkE7afM2cO1157LTt37qRu3bplKjIrKwuv14vP5yMpKalMP0MsFvLDR7fAts/A5oBRL0K3cVZXJSIiFeh0v79LdWYkEAiwdu1ahgwZUqJ9yJAhLFu27KTvmTlzJj179uSpp56iadOmtG3blvvuu4/8/PxT7sfv95OVlVXiIdWc0wPXvA1drwUjDNN/BStesroqERGpApyl2TgjI4NwOEyjRo1KtDdq1IiDBw+e9D07d+5k6dKlxMTEMH36dDIyMrjzzjs5evToKfuNTJ48mccee6w0pUl14HCZZ0Ti6sKKKTDnAcg7AgMfBpvN6upERMQiZerAavvRF4dhGCe0FYlEIthsNt577z0uuOACLrvsMp555hneeuutU54deeihh/D5fNHH3r17y1KmVEV2Owx9Agb+wXy9+CmYfR9EItbWJSIililVGKlfvz4Oh+OEsyDp6eknnC0pkpKSQtOmTfF6vdG2Dh06YBgG+/adfP4Sj8dDUlJSiYfUIDYbXHQ/jPgHYIPVr8G02yAUsLoyERGxQKnCiNvtpkePHsybN69E+7x58+jTp89J39O3b18OHDhATk5OtG379u3Y7XaaNWtWhpKlxjj/NrjqdbC7YNNU+OAXEMi1uioREalkpb5MM2nSJF577TXeeOMNtm7dym9/+1tSU1OZMGECYF5iuemmm6LbX3fdddSrV49bbrmFLVu2sHjxYu6//35++ctfEhsbW36fRKqnzmPhug/AFQc/zId3RkHeUaurEhGRSlTqMDJu3Diee+45Hn/8cc4991wWL17M7NmzadmyJQBpaWklxhxJSEhg3rx5ZGZm0rNnT66//nquuOIKnn/++fL7FFK9nX0J3PQJxCTDvlXwxjDIVD8hEZHaotTjjFhB44zUEoe2wLtjIfsAJDSGGz6Gxl2srkpERMqoQsYZEalQjTrCbfPMGX9zDsIbw2HHV1ZXJSIiFUxhRKoWbzP45Rxo2Q8C2fDeVfDth1ZXJSIiFUhhRKqe2GS4cRp0GgORkDla65JnoOpfURQRkTJQGJGqyemBsa9D77vM1wseKxwcLWxtXSIiUu4URqTqstth6F9h2JNEB0f7300QPPW8RiIiUv0ojEjVd+EdcPWb4PDAd7Pg7SshN8PqqkREpJwojEj10Gk03DQDYrzmWCSvDYbD262uSkREyoHCiFQfLfvArfMguSUc2w2vXQI7F1pdlYiInCGFEaleGrSD27+E5r3A7zMHSVv7ttVViYjIGVAYkeonvj7cNBO6XG3e+vvpPTDvjxCJWF2ZiIiUgcKIVE+uGBjzKlz0oPn663/CRzdBIM/aukREpNQURqT6stlg4ENmKHG4Yeun8NZlkH3Q6spERKQUFEak+ut6jXnZJrYuHFgPrw6GgxutrkpERE6TwojUDC17w+0LoN45kLUPXh8KW2ZaXZWIiJwGhRGpOeq2Nmf9bX0xBHPhfzfCwifVsVVEpIpTGJGaJbYOXD8Vet1hvl44GT66Gfw51tYlIiKnpDAiNY/DCcOfhCtfALsLts6EN4bCsT1WVyYiIiehMCI1V/cbYfxnEN8QDm2CVwfC7qVWVyUiIj+iMCI1W4te8KuvIOVcyDsC74yE1a9bXZWIiBxHYURqPm8zuOVz6DzWHLH1s0kw67cQClhdmYiIoDAitYU7Dsa+DoP/BNhgzRvw9hWQlWZ1ZSIitZ7CiNQeNhv0nwS/+AA8Xti7Al65CPYss7oyEZFaTWFEap92w8x+JA07Qs4h8wzJihfBMKyuTESkVlIYkdqpXhu4bT50vsrsRzLnQZh2OwRyra5MRKTWURiR2ssdD2Nfg2FPgt0JGz+C1y6FIzusrkxEpFZRGJHazWaDC++Amz81xyNJ3wyvDIRtc6yuTESk1lAYEQFo2Qd+vRia9wK/D94fB1/+FSJhqysTEanxFEZEiiSlwM2z4IJfma8XPwXvjoGcw9bWJSJSwymMiBzP6YbLnobRr4ArDnYuhJf6aRh5EZEKpDAicjLdxsHtX0GD9pBz0Lz9d/HfIRKxujIRkRpHYUTkVBq2h9u/hG6/ACMCX/4Z3rsKcjOsrkxEpEZRGBH5Ke54GP0SjPw3OGNhxwJ4qT/sWW51ZSIiNYbCiMjpOO8G8yxJvXMg+wC8NQKWPqvLNiIi5UBhROR0NeoIv1oIXa4BIwzzHzVvAc49YnVlIiLVmsKISGl4EmDMK3DFP8Hhge/nwkt9YeciqysTEam2FEZESstmgx7j4fYFUL8tZKfBOyPNMyXhoNXViYhUOwojImXVuIt52abHeMAw+5C8MRSO7rS4MBGR6kVhRORMuOPNSzbXvAMxXti/Fl4aAN9+aHVlIiLVhsKISHnoOBImfA0t+kAgG6b/Cqb9CgqyrK5MRKTKUxgRKS/JzWH8LLj4YbDZYcOH8HJ/2LfW6spERKo0hRGR8mR3wMUPwC2fg7cFHNsNbwyBRU9DOGR1dSIiVZLNMAzD6iJ+TlZWFl6vF5/PR1JSktXliJye/EyY9VvYPM183ex8GP0y1GtjaVlSOxmGQSASIBgOEoqECBkh8/n4hxEiHAkTjJjbRIzSDepns9lw2Bw47A6cdidOmxOHzVx22B247K4Sr502Jy6HC5fdVUGfWqx2ut/fCiMiFckwYMP/YPZ94M8yZwIe+lfocYt5i7DISYQjYXJDueQEcsgJ5pz4fNxyXjCPgnABBaGC4udQAf6wn/xQPgXhAvwhPwXhAqs/1ik5bA48Do/5cHqIccTgdriJccTgcXqKlwu3iXXGEu+KJ84VR7wr3nw4zddxrjjinfEl1jvtTqs/Yq2lMCJSlWTuhRl3wO4l5utzhsCV/4LExtbWJRXOMAyyAlkcyT/CMf8xMgsyzWd/5smXCzLJDmZXSm1Ou7PE2Yrow2Y+2212bJw8NNtOEqYjRoSIESEYCRI2woQi5pmWorMwRculPeNypjwOD/GueBJcCSS5k0jyJJHkTiLRnVji9cmWE1wJ2G3q0VBWCiMiVU0kAitfhPmPQdgPsXXh8meh0yirK5MyKAoZB3MPkpGfQXpeOhn5GRzOP1zydd5hApFAmfbhsrtIdCeS4Eog3hVPojsx+lzUFueKI9YZS4wjhhhn4eO45VhHbPRsg8fhiQYOh81x0kBRGSJGJHo5KBgJ4g/78Yf85nPYHz2bc/zrQDhQ4oxPbjCX3GAueaE88zmYR26o8LlwXTBy5oMQ2m12Et2J1PHUIdmTTJ2YOtSNqUudGPN10XIdTx3zOaYOsc7YcjhKNYPCiEhVlb7VvO334Abzdddr4bKnzHFKpMoIR8Iczj9MWm4aB3IOlHhOy0njQO4B8kP5p/3zEl2J5hdYTHKJLzavx2u+LmqPScbr9pLoTsTtcFfgJ6z5guGgGUxCZjjJCeSQFcgyH/6sn132h/1l2m+MIyYaTOrE1KFeTD3qx9anQWwD6sfWp15svehyvCveslBYGRRGRKqyUAAWPWmO2mpEIKkZjJoCrS+yurJaJRgOsj9nP6nZqaRmpZZ4TstJI2T8/B1QdTx1aBDXIPrl0iDOfG4Y1zDaVj+2PjHOmEr4RFKe/GE/2YFsfH4fRwuOkunP5FjBMY4WHOVYwTGO+Y+Zz4WPo/6jhCKlu2su1hlbHFbiGlAvpl7031DRo2FcQ+rG1K2Wl4sURkSqg9SV5gBpx3abr3veCpc+Bp5ES8uqSQzD4EjBEXZk7uCHzB/Y7dsdDR1puWmEjfAp3+u0OWkU34iU+BSaJDQhJT7FfCSk0CS+CY3jGytkSJRhGOQGc6PBJLMgk6MFRzlScISM/IzoZbui17nB3NP+2U67k0ZxjWgY15BGcY3MR3zx68bxjakfW7/KddZVGBGpLvw5MO//YM0b5mtvCxj5L2h9saVlVTeGYXA4/zA7Mnew07eTHzJ/YGfmTnb4duDz+075vlhnLM0Tm9MyqWWJ5+aJzWkQ2wCH3VGJn0Jqk7xgHkfyj5BRUBxUMvIzOFJwJLpc9DD4+a9qGzbqx9Y/Iag0im9E47jGpCSk0DCuYaXeSq0wIlLd7FwIn9wNvlTzdY9bYMifdZbkJIKRILt8u/ju6HfRx7aj28gKnHz4fbvNTrOEZrRJbkMrbyvOSjqL5onNaZHUggaxDWr0NXup/oKRIEfyj3Aw9yCH8g6RnpfOodxDHMorfOQeIj0//bQuEdltdhrENoie5Wuc0Ng88xffhI71OtIgrkG51q4wIlId+bNh/qOw+jXztbe5eQtwm4GWlmWlvGAe249tZ+vRrdHg8cOxH056h4rdZqdFYgtae1vTJrkNbZLbcHby2bRMaqnLKVKjRYwIRwuOFoeTvPTo8qG8Q6TlpnEw9+BP3mH0575/ZtTZo8q1rtP9/q5aF5dEajtPIoz4hznx3id3QeYe+M8o6H4zDPkLxNTsMB6OhNnp28nGjI1sOLyBTRmb+CHzh5P264h3xdOuTjs61OtAuzrtaF+3Pa2TW+NxeCyoXMRadps92uG1U71OJ92mKLCk5aSZd4UVPQpft0hsUclVF9OZEZGqyp8DCx6DVa+Yr5OawZXPw9mDra2rHGXkZ/Bt+rdszNjIxoyNbMrYRF4o74TtGsQ2iIaODvU60L5Oe5omNq2WdxeI1Ca6TCNSU+xaAjPvKr7jptt15pDycXUtLau0DMNgX84+1h5ay7pD61iXvo49WXtO2C7WGUunep3o0qALXet3pUv9LjSKb2RBxSJyphRGRGqSQC4seBxWvgwYEFcfhj0JXa6qsnPcRIwIP2T+UBw+Dq0jPT+9xDY2bJxd5+xo6OjSoAttvG10B4tIDaEwIlIT7V0FM++Bw1vN12dfCpc/A8nWXes93t7svaxIW8GKAytYdXAVmf7MEuuddied63Wme6Pu9GjUg3MbnkuSW/9Pi9RUCiMiNVUoAF8/B4ufhnAAXPEw6A/Q69dQyWcUjhUcY+XBlaw4sIIVaSvYn7O/xPpYZyznNjg3Gj461++seTtEahGFEZGa7vB2+PReSF1mvm7S3ezg2rhLhe0yHAmzMWMji/ctZun+pWw9urXEeqfNSdcGXbmwyYX0TulNp/qdKnWAJRGpWhRGRGqDSATWvQ3z/gR+H9id0OduuOgBcJXPGYjMgkyWHljKkn1L+PrA1yeMZnpOnXO4MOVCLky5kJ6NehLniiuX/YpI9acwIlKbZB+E2ffD1pnm6zqt4LK/wzmXlPpHGYbB9mPbWbRvEUv2LWFDxgYiRiS6PtGdSL8m/ejfrD+9m/Smfmz98voUIlLDKIyI1EbffQaf3QfZB8zXHa6EYZPB2+wn3xYxImw4vIEFqQuYv2c++3L2lVh/Tp1zGNB0AAOaDaBrg65VbjIuEamaFEZEait/Nix8Ela8CEbY7OB68YNw4R3gKO6/EYwEWXNwDQtSF/Bl6pcczj8cXedxeOid0pv+zfozoNkAGsc3tuKTiEg1pzAiUtsd2gyzJsHeFebrhh0JDn+K5S6DL3Z/wcK9C0tMLJfgSmBAswFc0vIS+jbpq74fInLGFEZEBCIRwt+8y7pFjzPbGWJefBw+R/Htv3Vj6jKw+UAGtxhMr5ReuB1uC4sVkZrmdL+/yzSxw5QpU2jVqhUxMTH06NGDJUuWnNb7vv76a5xOJ+eee25Zdisip8kwDDZlbOKptX9nyA9v88u6sXyclIjP4aBeKMx1uX7ePOtqvhw7n0f7PEr/Zv0VRETEMqXuhfbhhx8yceJEpkyZQt++fXn55ZcZPnw4W7ZsoUWLU48C6fP5uOmmmxg8eDCHDh06o6JF5OT2Ze/j0x2fMmvnLFKzU6Ptia5ELml5CcMTWnP+8ldxpm+C9H/Ati9h+NPQ/HwLqxaR2q7Ul2l69epF9+7defHFF6NtHTp0YNSoUUyePPmU77v22ms555xzcDgczJgxg2+++ea096nLNCKnlhfMY37qfGb8MIPVB1dH22McMVzc/GKGtxpOv6b9is98hEOw+jX48i8QyDbbuv0CLnkUEtVRVUTKz+l+f5fqzEggEGDt2rU8+OCDJdqHDBnCsmXLTvm+N998kx07dvDuu+/yl7/85Wf34/f78fv90ddZWVk/sbVI7WMYBuvS1zHjhxnM3T2XvFAeYE481yulF1e2uZLBLQafvBOqwwkXToBOo83J9755F759H7Z+CgPuN++6cXoq+ROJSG1WqjCSkZFBOBymUaOS03k3atSIgwcPnvQ933//PQ8++CBLlizB6Ty93U2ePJnHHnusNKWJ1AoZ+RlM/34603+Yzt7svdH25onNGdlmJFe2uZKUhJTT+2GJjWDUv6HnL+Hz38P+NTD/T7DuHXNG4LZDKuhTiIiUVKaRi2w/mrLcMIwT2gDC4TDXXXcdjz32GG3btj3tn//QQw8xadKk6OusrCyaN29ellJFqj3DMFh1cBX/2/Y/vkz9kpARAiDOGcfQs4Yy8uyRdG/Y/aT/D56WZj3g1nmw4QNzWPmjO+C/V8M5Q2DoZKh/djl+GhGRE5UqjNSvXx+Hw3HCWZD09PQTzpYAZGdns2bNGtavX89dd90FQCQSwTAMnE4nc+fOZdCgQSe8z+Px4PHoNLHUbj6/j09++ISPtn/E7qzd0fauDbpyddurGdJySPmNBWK3w7nXQfvLzdmAV7wI38+FHV+Zl20G3A8x6q8lIhWjVGHE7XbTo0cP5s2bx+jRo6Pt8+bNY+TIkSdsn5SUxMaNG0u0TZkyhS+//JKPP/6YVq1albFskZprw+ENfLjtQ77Y/QX+sNl3Ks4Zx+WtL+fqdlfTvm77itt5TBIM+TN0vxm+eMgMJMueN/uUDHwYzrvJ7HMiIlKOSv1bZdKkSdx444307NmT3r1788orr5CamsqECRMA8xLL/v37eeedd7Db7XTu3LnE+xs2bEhMTMwJ7SK1WTASZMGeBfxn63/YcHhDtL1dnXZc0+4aRrQeQbwrvvIKqn82XP8RbP8C5jxkXrqZ9VtY+QoM+UuZJuATETmVUoeRcePGceTIER5//HHS0tLo3Lkzs2fPpmXLlgCkpaWRmpr6Mz9FRMC8FPPx9o95/7v3OZRnjr/jsrsY3mo417S7hq71u5a9L0h5aDsUWg+ENW/Aoifh8FZ4byy0GWSGkkadrKtNRGoMDQcvYoGdvp28t+U9Zu6YSUG4ADCHZr+23bVc3e5q6sfWt7jCk8g/Bov/DitfhkgQbHY470YY+Ih5Z46IyI9obhqRKmh9+npe3/g6i/Ytira1q9OOGzrewGWtLqseQ7If3QnzH4Utn5iv3QnQdyL0/g24NbmeiBRTGBGpIgzDYMn+Jby+8XXWpa8DzMHJLm5+MTd2vJGejXpaeymmrFJXwBcPw/615uukpjDo/6DrNWB3/PR7RaRWUBgRsVgoEmLO7jm8sekNvj/2PWD2B7myzZWM7zSes7xnWVtgeYhEYPM080yJr3AQtoad4JI/meOUVMeQJVILnWq8sDOlMCJiEX/Yz7Tvp/H25rfZn7MfMG/NHdduHDd0vIGGcQ0trrACBAtg5Yuw5Fnw+8y2Fn3g0seg+QXW1iYip+TfuQvfjBn4Pv2Ulv/5D+5mTcv15yuMiFQyf9jP1O1TeX3j66TnpwNmp9QbOtzANe2uwevxWlxhJcg7CkufhVWvQMjsmEu7ETD4j9CwAsdHEZHTFvb5yJo9m8wZMyj4tngogQYTJ1J/wq/LdV8KIyKV5GQhpHF8Y27pdAujzxlNrDPW4got4NsPCyfDN++BETHvvOl2HQx8CLzNrK5OpNYxQiFyli7FN+MTchYswAgGzRUOBwn9+uEdPZqEQQOxu8u3E73CiEgFK7oc89rG10jPM0NIo7hG3N7ldkafM7p63BlT0Q5vM2cG/m6W+drhgQtuh/6/g7i61tYmUgsUbNsevQwTzsiItnvatsU7ejTey0fgbNCgwvavMCJSQYKRINO2T+OVja8ohJyuvavNTq57lpqvPUnQ+y5z3hvNeSNSrkJHj5I1axaZM2bg37I12u6oW5eky0eQPGoUng4dKuUuPoURkXIWMSJ8sfsL/rX+X+zNNu8caRjXkNu73M6Yc8YohPwcw4Af5sP8x+BQ4ZxVsXWgzz1wwa/Ak2BtfSLVmBEIkL1okXkZZtEiCJmze+NykXjxxXhHjyKhf39sLlel1qUwIlKOlh1YxnNrn2PrUfOvjLoxdflV119xVdur8Dg0w3SpRCKwZTosfBIytpttcfWh32/h/FvBVQv72IiUgWEYFGzegm/GDLJmzSKcmRldF9O5M95Ro0gacRnOOnUsq1FhRKQcbM7YzLPrnmVl2koA4l3xjO80nps63kScS6ONnpFIGDZ+ZIaSY7vMtoTGZn+SHjeDUyFP5GRChw/jm/kpvhnT8X//Q7Td2aABSVdeYV6GOeccCysspjAicgZSs1L557p/MnfPXMAcrGxcu3Hc3vV26sao42W5Cgfh2/dh0VPFA6clNYMB98F5N4Cjck8ri1RFRiBA9sKF+KZNJ2fJEgiHAbC53SRecgne0aOI790bm7PU899WKIURkTLICmTxyrev8N537xGKhLBh4/LWl/Ob835D04TyHQxIfiQUgPXvwOJ/QPYBsy25JVz0AHQdB46q9UtWpDIUbN1K5rTpZH36aYnLMLHnnot39GiShg/DUYW/FxVGREohFAkx7ftpvLD+BY75jwHQt0lfftvjt7Sr287i6mqZYAGsfROWPAO55t1K1DkL+k2Cbr8ApzoKS80WOnaMrE9nkTl9Ov6txXfDOBs0wDtqJN7Ro/G0bm1hhadPYUTkNC0/sJynVj/FD5nmtddW3lbc3/N++jfrb3FltVwgF1a/Bl8/D3mF4yN4m0Pfe+G8G8EVY219IuXICIXIWbIE37TpZC9cCIWDktlcLhIGDyZ5zGji+/Spcpdhfo7CiMjP2JO1h7+v/jsL9y0EwOvxcme3O7m63dW47OqnUGUEcmHtW/D1PyHnkNmWmGKGku43g1sdiaX68u/YQea0afhmziR8uHhQsphOnczLMBbfDXOmFEZETiE/lM+rG17lzc1vEoqEcNqcXNv+WiZ0m1A75o+proL5sO4/8PVzkGVOQEh8A+hzN/S8VeOUSLURzsoy54aZNp2CDcVzwzjq1sV7xRV4x4wmpl3NuDysMCLyI4Zh8NXer/jbqr9xINfsINm3aV9+f/7vae2tHtdfBQj54Zv/wtJnIDPVbIutC73vNAdPi1GglKrHCIfJXbHCvAwzfz6G32+ucDpJuOgikkePImHAAGzlPDeM1RRGRI6zN3svT656ksX7FgOQEp/CA+c/wKAWgyplSGSpAOEgbPgfLPkHHN1htnm8cMFt0GsCJDS0tj4RILBnD5nTp+P7ZCahtLRou+ecc/COGYP3istx1q9vYYUVS2FEBHMyuzc2vcHrG1/HH/bjtDsZ32k8t3e5XYOW1RThEGyeDoufhoxtZpvDY45R0uduqNvK2vqk1gnn5JL9xRdkTp9G/pq10Xa714t3xAi8o0cT07lTrfhDSGFEar1Vaat4bPljpGabp/J7pfTi4V4P65JMTRWJwLbZsPRZ2L/GbLPZodNo6DsRUrpaWp7UbEYkQt6aNfimTSdr7lyMvDxzhd1OfN++JI8ZTcKgQdg9tWtkYYURqbV8fh/PrH2Gad9PA6BhbEPuP/9+hp41tFb8JVLrGQbs+doMJT/ML25vM9ic/+asfqB/B1JOgvv3kzljBr4ZnxDcuzfa7j7rLPMyzMgrcTVqZGGF1lIYkVrHMAzm7ZnHEyuf4EjBEQDGtRvHxO4TSXDrTotaKW2DeUvw5mlgRMy2pj3MUNJuBNjt1tYn1VIkP5/s+fPJnDaNvBUrzQAM2OPjSbpsON7RY4g971z98YPCiNQyh3IP8deVf+WrvV8B5sBlj/Z+lO6NultcmVQJR3fB8hdg/bsQKjDb6p0DvX8D3a7VTMHyswzDoODbb8mcOo2szz8nkpMTXRd34YUkjxlN4qWXYo/Vv6XjKYxIrRAxIny8/WOeXfssOcEcnDYnt3a5ldu73o7HUbuuzcppyDkMK1+C1a9Cgc9si6tnjlNy/m2QWHtPp8vJhTIy8H0yk8xp0wjs2BFtdzVtinf0aLyjRuFupnmrTkVhRGq8tJw0/m/Z/7EybSUAXet35U99/kTbOm0trkyqPH+2OYDaihfBVzhWicMNXa4xz5Y06mhtfWKpoqHZM6dOJWfhIgiFALDFxpI0ZAjeMWOIO78nNl3m+1kKI1JjGYbBjB9m8NTqp8gJ5hDjiOGe7vdwXfvrcNgdVpcn1Uk4BN/NguX/hn2ritvbDDJDSZvB6uxai/h37cI3bTq+GTMIHT4cbY/p1pXksWNJuuwyHAnqf1YaCiNSIx3OO8xjyx9j0b5FAHRr0I2/9vsrLZNaWlyZVHt7V5mhZOvM4s6uDdqboaTLNZqYr4aK5OWR9cVcMqd+XGJMEEedOnhHjiR57Bg855xjYYXVm8KI1Dhzds3hLyv/gs/vw2V3cdd5d3Fzx5t1NkTK17E9sPJlWPcOBLLNtrj6Zp+SnrdAYmNr65MzVqIz6uzZRHJzzRV2O/H9+5E8diyJF19c44Zmt4LCiNQYmQWZ/HnFn5m7Zy4AHep24K/9/so5dfTXilSgAp/Zr2TlS+ArHD/C7oKOI6HXr6HZ+bqEU82Ejhwp7Iw6lcAPx3VGbdGC5DFj8I4eVavHBKkICiNSI6xIW8HDSx7mcP5hnDYnv+r6K27rehsuu8vq0qS2CIdg6yfm2ZK9K4vbU7rBBb+GzmN1CacKM0IhcpYuxTd1GtlffVXcGTUmhqShQ/GOHUPc+edrTJAKojAi1VowHORf3/yLtza9hYFBK28rJvefTKd6nawuTWqzA9/Aqldh40cQLpx1NbYu9LjZvD04ubml5UmxwJ49ZE6dZnZGTU+Ptsd07UrymDEkjbgMR2KihRXWDgojUm3t9u3mgSUPsOXIFgCubns1959/P7FODSYkVUTuEVj3Nqx+HbL2mW02O7QfYZ4t0ZDzlojk55P1xRf4pk4jb/XqaLujTh28V16Jd+wYYtrq1v/KpDAi1U7RLbuTV00mP5SP1+Plsd6PMbjlYKtLEzm5cAi2f25ewtm9pLi9YUezw2vXa8Cjv74rkmEYFGzcSObHU8n67LOSnVH79SV57FUkDlRnVKsojEi14vP7+POKP/PF7i8AuKDxBTzR7wkaxaszmVQTh7aYI7t++wEEC2dsdSdAl6ug5y/NPiZSbkJHj+KbORPf1Kn4v/8h2u5q3pzksWPwjhqFq7HufLKawohUG5syNvG7hb/jQO4BnDYnvznvN9zS6RbdsivVU34mfPNfWPMGHPm+uL1JdzOUdB4D7njLyqvOjHCY3KVLySzqjBoMAmDzeEgcOoTksVdpZNQqRmFEqjzDMHj/u/d5es3ThCIhmiU046kBT9GlQRerSxM5c4YBu5fC2jdhy0yImF+ceJLMyfl63KJh509TIDWVzGnT8E2fQejQoWh7TJcuJI8dQ9KIEeqMWkUpjEiVlhPI4U/L/hQdO+SSFpfweN/HSXTrF4rUQDmH4Zv3YO1bcGxXcXvzC82B1DqO0u3BPxLJzyd77lwyp04jb1XxUP2O5GSSrryC5LFXEdNOnVGrOoURqbK2Hd3G7xb9jj1Ze3DanPyu5++4vsP1us9far5IBHYthDVvwnefgRE222PrQLfroPuN0LCDpSVayTAMCjZtKu6MmpNjrrDZiO/Xj+SxY0gYNAi7OqNWGwojUuUYhsG076cxedVk/GE/jeMb8/eL/k63BurYJ7VQ9kFY/x9Y+3bxCK8ATXvAeTeag6nF1I7fd6Fjx8iaOZPMqdPwb98ebXc1a4Z3zGiSR4/GlZJiYYVSVgojUqX4w37+suIvzPhhBgD9m/bniX5PkByTbGldIpaLhOGHBea4JdvnQMQcIRRXnHn55rwboGWfGjduiREOk7tsGZkfTyX7yy9LdkYdMoTksWOIu+ACdUat5hRGpMo4mHuQiV9NZPORzdhtdu4+725+2fmX2G36JSNSQk66eWvw+v9ARvEZAuq2MUNJt19AUvU+QxDYu7e4M+rBg9H2mE6dSL5qrNkZVb/nawyFEakSVh9czX2L7uNowVG8Hi9PD3ia3k16W12WSNVmGLBvtTlz8ObpECjqO+GAcy41L+O0HQqO6jFHU6SggOx588j8eCp5K4vn93F4vSRdeSXJY8cQ0769hRVKRVEYEUsZhsF/v/svT69+mrARpn3d9jx78bM0S2xmdWki1Ys/B7bMgPXvQury4vb4BtDlavM24cZdq9xlHLMz6mYyp00la9ZnRLKzzRU2G/F9+pB81VgSBg9WZ9QaTmFELFMQKuDPK/7MzB0zAbis1WU82udRzS0jcqYyvjcv4XzzPuQWT/5Ggw5mKOl6DSQ1sa4+CjujfjqLzKlT8W/bFm13NW1a3Bm1ibU1SuVRGBFLHMw9yL1f3cuWI1tw2BxM6jGJGzveqNt2RcpTOAg7voRv34fvZhfPIIwNWl9s9i3pcHmljfRqdkZdTua0qeTMX4BR1BnV7S7ujNqrlzqj1kIKI1LpNh7eyD1f3UNGfgZ1PHV4+qKn6ZXSy+qyRGq2/EzzMs63H5S8jOOKh45XmmdMzuoPFTC9QmDfPnzTppM5fTqhtLRoe0zHjnivGot3xAgcXm+571eqD4URqVRzds3hD1//AX/Yz9nJZ/PC4BdomtDU6rJEapeju2DD/8wzJseP9JrUtLh/yRkOqhbx+8meN5/MqR+Tt3xFtN3u9eK94gqzM2qH2jtwm5SkMCKVwjAMXvr2JaZ8OwWAAc0G8NSAp4h3aSIwEcsYBuxdZYaSzdOgwFe8rmEncybhzmOhTsvT/pEFW7eS+fFUfLNmEfEV/jybjfjevfGOHUPiJZdg93jK+YNIdacwIhWuIFTAH7/+I5/v/hyAmzrexKQekzTbrkhVEiwwB1P79gP4YX7xhH0AzS4wg0mn0ZDQ8IS3hn0+fLMKO6Nu2RptdzZJIXn0GLyjR+NupjOgcmoKI1KhMvIzuPfLe9mQsQGnzckfLvwDY9uOtbosEfkpeUdh60zY+LE5ozCFv/5tdmh1EXS5CqPdCPK+/Y7MqdPInjsXIxAwN3G5SLhkMMljryK+94XYHPqjQ36ewohUmB+O/cAdC+7gYO5BktxJPHvxs1yQcoHVZYlIaWSlmQOqbfoY9q8lmGsnc1ccvt3xBHOKg4anXTuSx44l6YrLcdapY2HBUh2d7ve3sxJrkhpg9cHV3PvlvWQHszkr6SxeGPwCLZNO/7qziFQRSSkYPW4j29eGzK//Q+7KtdETJXZXhKSW+SS3NYjpUx9b57qQoHGCpOIojMhp+3zX5zyy9BGCkSDnNTyP5wc+r4nuRKqhgu3b8U2dim/mp4SPHYu2x11wAcmXXEBi/TTs2z4BXyps+sh8uBOh3TDoOBLOvgRcCidSfnSZRn6WYRi8tfktnln7DACXtryUJ/o9QYwzxuLKROR0hXNyyPpsNplTp1KwYUO03dmwId7Ro0keMxp3y+POchbdkbNlBmz5BLL2F69zJ5hz43QcCWdfCu64yvsgUq2oz4iUi3AkzN9W/433v3sfgBs63MB9Pe/THTMi1YBhGOSvWUPmx1PJ+uILjIICc4XTSeLAgXjHjiGhXz9szp85SR6JwP61xcHEt7d4nSse2g4xg8k5Qypt1FepHhRG5IwVhAp4YPEDfLn3SwDu73k/N3W6yeKqROTnBNPT8c34BN/UqQT27Im2u9u0IXnsWLwjr8RZr17ZfrhhwP51sGW6GUwyU4vXOWPNWYU7jTKDiSfxzD6IVHsKI3JGfH4fdy24i28Of4PL7uKJ/k8w7KxhVpclIqdgBIPkLFpE5sdTyVmyBMJhAOxxcSReNpzksWOJPffc8p0nyjDgwPriMybHdhevc7jNeXLaXw7thp90HBOp+RRGpMwO5x3m1/N/zffHvifRncjzA5+nZ+OeVpclIifh37mTzKlT8X0yk3BGRrQ9tnt385bcYUOxx1fCpRPDgLRvzVCy5RM4uuO4lTZo3gvajzAf9dpUfD1SJSiMSJnszd7Lr+b+in05+6gfW5+XLnmJdnXbWV2WiBwnkptL1pw5ZE6dRv66ddF2R716eEeNJHnsWDytW1tXoGHA4W3w3Sz47jM4sK7k+oYdi4NJyrmgWb1rLIURKbXvj33Pr+f9msP5h2mW0IxXLn2F5knNrS5LRCjsjPrNN2ROnUr27M+J5OWZKxwOEgYMIPmqsSQMGIDN5bK20JPx7YNtn5vhZPdSiISK1yU1g/aXmZdzWvYBRxWsX8pMYURK5dvD33Ln/DvJCmRxdvLZvHLpKzSIa2B1WSK1XujIEXwzPiFz2jQCO4ovfbhbtsQ7dizekSNxNapG/THyj8H382Drp/DDAgjmFq+LSTY7wLYdBmcPhliN+FrdKYzIaVt2YBkTv5pIfiifbg268e/B/8br8VpdlkitZYRC5Cxdim/qVLK/Wggh80yCLSaGpKFDSb5qLLE9e5ZvZ1QrBPNh5yL47lPzzEnekeJ1Nge0uNAcz6TtMKjfVpdzqiGFETkt8/bM4/eLf08oEqJPkz48e/GzxLk0gJGIFQJ79pA5bTq+6dMJpadH22O6djU7o464DEdCgoUVVqBI2Bxkbfsc2P4FHN5acn2ds8xQ0nYotOwLTo8lZUrpVGgYmTJlCk8//TRpaWl06tSJ5557jv79+59022nTpvHiiy/yzTff4Pf76dSpE48++ihDhw4t9w8jpfPZzs94ZOkjhI0wQ88ayuR+k3Hpeq1IpYrk55M9dy6ZH08lb/XqaLsjORnvyCvxjh1LTNu2FlZokWO7YftcM5zsXgLhQPE6dwK0GWiGk3OG6LbhKqzCwsiHH37IjTfeyJQpU+jbty8vv/wyr732Glu2bKFFixYnbD9x4kSaNGnCwIEDSU5O5s033+Tvf/87K1eu5LzzzivXDyOn75MfPuH/vv4/DAxGthnJY30e06iqIpXEMAwKvv2WzGnTyZo9m0hOjrnCZiO+Xz+Sx44lcdBAbG63tYVWFf4c2LnQDCbfz4WcQyXXN+1hDkt/9iXQtDvod1mVUWFhpFevXnTv3p0XX3wx2tahQwdGjRrF5MmTT+tndOrUiXHjxvHHP/7xtLZXGClfH2//mMeXP46BwdVtr+YPF/4Bu81udVkiNV7o8GF8M2eSOW16ic6orqZN8Y4dQ/Lo0bhSUiyssBqIRCDtG/NSzvY55vLxYpKhzSAzmJw9GBIbW1CkFDnd7+9SzdobCARYu3YtDz74YIn2IUOGsGzZstP6GZFIhOzsbOrWrXvKbfx+P36/P/o6KyurNGXKT3j/u/d5YuUTAFzX/joevODB6t8JTqQKMwIBshctwjdtOjmLF0dHRjU7ow7BO3oMcRecj82uPwhOi91unv1o2h0GPgRZaebZkh0LYMdCKMiEzdPMB0CjLmYoOfsSc+A1p842VUWlCiMZGRmEw2EaNWpUor1Ro0YcPHjwtH7GP/7xD3Jzc7nmmmtOuc3kyZN57LHHSlOanIa3N7/N39f8HYDxncYzqcckBRGRClKwbTu+adPwffop4aNHo+2x556Ld8xokoYPx5GouVvOWFIK9LjZfIRDsH8N/DDffBxYD4c2mo+vnzP7mrS6CM4uPHNS5yyrq5dCpQojRX78BWYYxml9qb3//vs8+uijfPLJJzRseOoORw899BCTJk2Kvs7KyqJ5cw2+dSZe2/ga/1z3TwBu73I7d593t4KISDkL+3xkzZ5N5tRpFGzaFG13NKhP8siReEePxtNGQ6FXGIfTvB24xYUw6A+Qcxh2flUYThZAXgZs+8x8ANQ7G9oMNufQOasvxGhIA6uUKozUr18fh8NxwlmQ9PT0E86W/NiHH37IrbfeykcffcQll1zyk9t6PB48Ht22VV5e3fAqz69/HoA7z72TCV0nKIiIlBMjHCZ3xQp8U6eRPX8+RqDwrg+nk8SBA/GOGU1C//7YnGX620/OREID6HqN+YhE4OCG4mCydyUc+cF8rHrZHNekaQ8zmLS+GJqdr0s6lahMHVh79OjBlClTom0dO3Zk5MiRp+zA+v777/PLX/6S999/n1GjRpW6SHVgLbs3N73JM2ufAeDe7vdyW5fbLK5IpGYIpKaSOX06vhmfEEpLi7Z72rYleewYkq64AudP9I0TixX4zDt0ih5Hd5Zc74o3h6cvCieNOmnQtTKokA6sAJMmTeLGG2+kZ8+e9O7dm1deeYXU1FQmTJgAmJdY9u/fzzvvvAOYQeSmm27in//8JxdeeGH0rEpsbCxer06JVaT/bPlPNIjcde5dCiIiZyiSl0fW3Ln4pk4rMSaIPSkJ7+Uj8I4ZS0ynjjrzWB3EeKHjSPMBkJlqjgZbFE7yMuCHeeYDIL6B2d+kKJwkq+tAeSrzoGdPPfUUaWlpdO7cmWeffZYBAwYAMH78eHbv3s3ChQsBuPjii1m0aNEJP+Pmm2/mrbfeOq396cxI6R1/18yEbhP4zbm/sbgikerJMAzy139D5rSpZH8+h0hu4VwqNhvxffqQPHYMCYMHY9el5ZojEoH0LcXBZM/XEMwruU3dNtD6IjirH7TsB4k/3VWhttJw8LXYR9s/4vHljwNwa+dbubf7vfpLTaSUgofS8c38BN+06QR27Yq2u1q0IHnMaHOCOo0JUjuEArBvdXE42b8WjHDJbeq3NYPJWf3NZ40KCyiM1FrTv5/OH5eZg8nd3PFmftfzdwoiIqfJCATI/mohvmnTyFmyxPwLGbDFxpoT1I0dUzMmqJMzU+CD3V/D7qXmUPUHNwI/+iqt364wnPSr1eFEYaQW+nTHpzyy9BEMDK7vcD0PnP+AfmmK/AzDMPBv3UrmjBlkzfyUcGZmdF1s9+4kjx1D4tBhOBLirStSqra8o5C6/LhwsgmFE5PCSC0zf898frfod0SMCOPajeORXo8oiIj8hNDhw/g+nYVvxgz827dH250NG+IdORLvmNF4WrWysEKptk43nLTsDS16m+OiJLeskXfrKIzUIssPLOc3C35DMBJk9NmjebTPo5prRuQkIn4/OV99hW/6DHKWLi0emt3tJmHwIJJHjSK+b1+NCSLlK+8o7FlWGE6WmiPC/lhiEzOUtOxjPjfsWCMm/FMYqSW+Pfwtt8+9nfxQPpe2vJSnBzyt2XdFjmMYBgUbNpiXYWZ/TsTni66L7dYN7+hR5tDsGmpAKkveUUhdAanLzOcD6yESKrmNxwvNLyg+e9KkO7hirKn3DCiM1ALbj21n/JzxZAey6dOkD/8a9C/cDo0YKAIQPHgQ38xP8c2YQWBn8YBWzsaNzcswI0fiaa3LMFIFBPLMO3RSl5uPvasgkFNyG4fbDCRFZ0+aXwCxdayptxQURmq4vVl7uWnOTWTkZ9CtQTdeufQV4lxxVpclYqlIfj7Z8xfgmz6d3OXLofDXmy0mhsQhl5I8ahRxvXphc+jsoVRh4RAc2lR89mTPcshNP3G7+m2h2QXQ/HzzuUG7KndpR2GkBkvPS+emz29if85+2tZpyxtD38Dr0SlmqZ0MwyB/3Toyp08vOSgZENezJ97Ro0gcOhRHQoKFVYqcAcMwh6s/Ppwc3XHidp4kaNq9MKBcAM16Wn72RGGkhsosyGT8nPHs8O2gRWIL3h7+NvVj61tdlkilC+zbj++TGfg+mUkwNTXa7mrWzLwMM2okbs32LTVV7hFzILZ9q8zLOvvXQTD3xO1OOHvSHuyVd4ODwkgNlBfM47a5t7ExYyMN4xryzvB3aJrQ1OqyRCpNJDeXrC/m4psxg7xVq6Lt9rg4EocNI3n0KGJ79MBWib9sRaqEcMgcwn7fKti72gwqP3f2pFlPc6bi+Ir7g1ZhpIYJRULc+9W9LN63GK/Hy9vD3qZNchuryxKpcEY4TN7Klfg+mUnW3LkY+fnmCpuN+N4X4h01isRLLsEepz5TIiWc7tmTOmeZoaTnrXBW33ItocJm7ZXKZxgGf1nxFxbvW4zH4eGFQS8oiEiNV7BtG76ZM8n6dBah9OLOe+6zzsI7ahTekVdqbhiRnxJfD9oNMx9w3NmT1bBvDexfAxnb4dhu89F+hGWlKoxUAy99+xJTv5+K3WbnqQFPcW7Dc60uSaRCBA+lkzVrFr6ZM/Fv2xZtt3u9JA0fRvKoUcR066bRhUXKwuGElK7m4/xbzbb8THOck/1roEUfy0pTGKnipm6fypRvpwDwSK9HGNRikMUViZSvSG4uWfPmkTVzJrnLVxTfjutykXDxxXhHXkn8gAHY3RpDR6TcxSZDm4Hmw0IKI1XY4n2L+fOKPwNwe5fbuabdNRZXJFI+jFCI3OUr8M2cSfb8+cX9QIDYHj3wXnEFScOG4khOtq5IEak0CiNV1MbDG7lv0X2EjTBXtrmSu8+72+qSRM5I0ey4vk9m4pv9GeHDGdF17pYtSRp5Jd4rrtDtuCK1kMJIFZSalcpvFvyG/FA+fZv05dE+j+oauVRbwbQ0fJ/OIuvTmfi//yHa7qhTh6TLLsN75RXEdO2qf+MitZjCSBWTWZDJHfPv4Jj/GB3qduCZi5/BZXdZXZZIqYRzcsj+Yi6+mTPN8UCK+oG43SQMGoT3yitJ6N8Pm0v/tkVEYaRKCYaDTFw4kdTsVJrEN2HKJVM034xUG5FAgNwlS/DNmkXOl19h+P3RdXHnn4935JXmsOyJiRZWKSJVkcJIFWEYBo8uf5S1h9YS74rnhcEvaJh3qfKMcJi81avJ+uwzsr6YSyQrK7rO3bo13iuvxHvF5biaaqRgETk1hZEq4rWNrzFzx0wcNgf/uOgfnFPnHKtLEjkpwzAo2LSZrFmzyJo9m9Dhw9F1zoYNSRoxgqQRI4jp1FH9QETktCiMVAFf7P6C59c/D8BDFzxE36blOxyvSHnw79xlBpDPPiOwZ0+03e71kjRkCEmXX05czx7YHFVrCnMRqfoURiy24fAGHln6CAA3dLiBce3HWVyRSLHgwYNkzf6crFmzKNiyJdpui4khcdAgki6/nIR+fbFpQDIROQMKIxY6kHOAe768B3/Yz4BmA7iv531WlyRCODOTrC/mkvXZZ+StXh29Ewank/i+ffBefjmJgwZhj4+3tlARqTEURiySG8zlri/v4kjBEdrVacdTA57CYdfpbbFGJC+P7K++ImvWZ+QsXQrBYHRdbM8eZgAZOhRnnToWVikiNZXCiAUiRoRHlj7C98e+p35sfV4Y/ALxLv2VKZUrUlBAzqLFZH3+OTkLF2IUFETXedq3x3v5CJIuuwxXkyYWVikitYHCiAVe+vYlFqQuwGV38dzA52gc39jqkqSWiPj95C5dStbsz8n+6iuMvLzoOlfz5iRdPgLviBF4zj7bwipFpLZRGKlk8/fM58VvXwTgj73/SLcG3SyuSGo6IxAg5+uvyZ4zh+wFXxLJyYmuczVpQuLwYSQNv0y34oqIZRRGKtH2Y9t5eOnDgHnnzKizR1lbkNRYRjBI7ooVZH0+h+z580sMRuZs1IikYcNIumy45oQRkSqhVoeRP8zYyNzNh7DZwG6zYbfZjlvmR6/NZdtx6+w2cNhtuBz2wocNp8OO22HH6bBF21wOO2FyWZD1MPmRfJp4uhCXM4pXFu/A7bAT43IUPux4nA48rsK2Esvms8dpx+mwW33opAoyQiHyVq0i6/PPyZ47j7DPF13naFCfpKFmAIk991xsdv0bEpGqo1aHEV9+iPRs/89veMbCxLZ4A2d8OpFAXbZtH8W28A8//7ZTcNpt0WAS4zIDS7zbSazbQbzbQZzHaT67ncS5HcR7Cp/dTuI8DuIK15342qGgU80YoRB5a9aQNWeOGUCOHo2uc9StS+LQISQNH05cDw1GJiJVl80wigYRqLqysrLwer34fD6SkpLK7efuO5aHLz+IYZhDKUQMo/BhDnl9sueibQwgEjEIRQyC4QihsPkcDBuEIhECoYi5LhRhybHX2Jo7G6cthosT/0wcTaPbBkIR/KEwBcEIBcEwBaEw/mCEguPa/CHz51UGt9NOgsdJgsdJYkzRs4vEmOLXCTGFbT+xjUJNxTECAXJXriR77lyy5y8gfOxYdJ0jOZnESy8l6bLhxJ1/PjZnrf57Q0Qsdrrf37X6N1WzOnE0q+BhEz754RO27psNwN8vfpLBLQaX6edEIgb+UHE4KQouRYElPxAmNxAiLxAmzx8iNxAmL/r6uHWFz7n+otfmcihiZtJAKMLRUICjuYEz+tyxLkdhaHGSWBhgkmJcJMW48Ma58Ma6SIpxkhRbuFz4bLa7cDsVZo4XKSgg9+uvzQDy5VdEsrOj6xxeLwmXDCZp2HDiL+yFzeWysFIRkdKr1WGkon139Dv+vOLPANzR7Y4yBxEAu91GrNtBrLtiTrUHQhHyAmaIyfWHyC4IkV0QJKdwOafwdfbxr/3BwufitvxgGID8YJj8YJjDZbwMFutyFIeTWGeJwJIUc1xwOT7EFG4X63LUiE6ZkdxcchYvJmvuXHIWLS5xG66jfn0SLxlM0tChOgMiItWefoNVEJ/fx8SvJuIP++nftD8Tuk2wuqSf5HbacTvdJMed2c8JhiPHhZmSgSarIEhWfhBffpCs/BC+wmVffpCsAvM5uyAEFIeZg1kFP7PHE7kcNryxbpLjXNSJc5VYTo4zl5ML25IL2+rEVY0QE87OJuerr8iaO5fcJUsx/MVhzpmSQuKll5A0ZAix552nPiAiUmMojFSAiBHh4aUPsz9nP00TmjK5/2Tsttpx2cHlsBd+4Zdt4rRwxCCn4ORBJfq6xLpQidfhiEEwbJCR4ycjp3RnZdwOO96i0PKjsFIUYOrEmZeZkmPd1Ik3n8/0bFXo6FFyvvzSDCDLV5QYit3VvDlJQ4eQOGQIMV26WB6WREQqgsJIBXhlwyss3rcYj8PDsxc/i9fjtbqkasNht5l9SuJK3+/BMAzyAmF8+UEy84Jk5gfM5xLLAY7lBfEVth0rbAuGDQLhCIez/aW+tORx2k8421Inzl0cWn4UaurEuYnPSMP/1Vdkf/kl+evXQ6S4g7K7TRsSh1xK0pAheNq3VwARkRpPYaScfb3/a6Z8MwWAP1z4BzrU62BxRbWHzWYj3uMk3uOkSXLsab+vKMRk5gc5lhuIhpljeebysdwAmUUBJ69o2Qw3ocKOxYey/BzKOnWIsRkRzsncR++0TfRO20zL7EMl1h9s0ILdnS4g/bw+2M9qZYaZXBd1tqZTJ9681FSnsOOv7lQSkZpGYaQc7c/ZzwNLHsDA4Kq2V2mE1Wri+BDTtJQhJjcQjgaYY4UBJTM/SGZugKzsPGI3rydl4ypaf7+OpNziQchCNjsb67dhReNOrEjpSHpcXXPFrgjs2vGT+02McVInruiSkflcJ86NN9a8xFQnvmjZHT1DkxTj1BkWEamyFEbKiT/sZ9LCSfj8PjrX68xDFzxkdUlSwWw2W3RMluaFbWGfj5zFi8le8CW5S5YQyc2Nbm+PiyN+wAASBg7EuLAvSc4YOuUFGZNX8hJS0dmX6HLhWZqizr1FnYNTj56kqFNw2G14Y4svISXHFnfcLe7EW/IyU3IV6dQrIjWfwkg5eXLVk2w5soVkTzLPXPwMbkfZOnBK9RPYs4echQvJXriQvNVrIBSKrnM2aEDCoEEkXjKYuF69sLuL/13UAVrWO/39hMKRwjMwQXz5AY7lHncp6bi+MMXL5nN+MEw4YnA0t2j8mNyf3VcRt9NeokNvcWD5UV+YWPOMTFHfGY0TIyKloTBSDmbvnM3H2z/Gho2/9f8bKQkpVpckFcgIBMhbu5achYvIWbSIwO7dJda7z25D4qDBJF4ymJjOncttHhinw069BA/1Ejylel9BMFwcWHILg0xRn5i84y4vFS3nH9ep9zT6w5xMvNtRosNuyTMuReHluCAT5yYp1oXDrrMwIrWRwsgZ2u3bzWPLHwPgV11/RZ+mfSyuSCpCKCODnEWLyVm0iNyvvy5x+QWnk7iePUm46CISBw3E3bKldYWeRNFEjI2SYk77PUX9YY6/TFTyUlLRcnHn3qKzNIaBOXheIJ/9mfmnvU+bDZJiXKfoC+Mu7Mhb3BemKOAkeNQfRqS6Uxg5A/6wn/sW3UdeKI+ejXpyR7c7rC5JyokRiVCweQs5i8yzHwUbN5ZY76hXj4QBA0i46CLi+/bBkZhoUaUV4/j+MKWZMiESMcgqCJYMMIWXlE7VFyYzzxwYzzCIjhfDkbyf31khp91W4tJR0Z1HRR15T/ZIKpyOQHcmiVQNCiNn4OnVT7Pt2DbqxtTlbwP+hsOuETGrs7DPR+7y5eQsWULO4sWED2eUWB/TqRMJF11EwsCLienUqdwuv9QkdrstOujdWcSf9vuC4UiJW6eP5R4XZH58Jua4S0r+wgkpM3ICZOSUfj6lBI+zRDg5WWj58XLRtAMep/5/FykvCiNlNGf3HD7c9iE2bEzuN5mGcQ2tLklKyQiFyN+wkdylS8n5eikFGzeVGHzMHhdHfN8+JFx8MfH9++NqqP/GFcXlsNMg0UODxNL3hynqC1M0sN2PLykdP2pv0XNuwJxDKccfIscfKtXlpCIxLnuJyR1PDC0nOyNTs+ZPEikvCiNlkJqVyqPLHgXgti63qZ9INRI8cICcpUvJXfo1uStWEMnKKrHefXYbEvr2I+GiAcT27Fni7hepemJcDlK8saR4T398GDDPxGT/eNqBkyz/eCoCX545WaRhUDhjduk790LR/EkuEmNcJBbOaJ1YNMt14ezWJV7HFm9T9KxLTFKTKIyUUiAc4L5F95EbzKV7w+7cee6dVpckPyGSn0/e6tXRABLYubPEervXS3zv3iT060t83764UnQnVG3gctipG++mbnzpw2YkYpDtD500vJScUyl0YrjJN0ftNedPKtulpSKxLocZTmJd0dBSFFaSfhRkEj2ukq9jXCR6nNh195JUEQojpfSPNf9g69GtJHuS+duAv+G06xBWJUYwSP7GTeStXEHuipXkr1+PETjuF77dTmy3bsT360tCv37mrbea/VZKwV44gJw31hUd7O50HT9/UtEs1dkFweis1iWeT7E+r/ASU9HM1umlnEvpeIkeZ4kgkxjjJCHGRYLHUdiB2UW8xww9J10ufNZZGjlT+iYthYV7F/Lf7/4LwBP9nqBxfGNrCxKMSAT/tm3kLl9B7soV5K9eQySv5J0YziYpJPTtR3y/fsT3vhBHUpJF1UptV9b5k44XCkfI8YfIyi8OKNkF5pmY7ONf54fI9pcMNkXb+ENm36hsf4hsfwh8BWf0uWJcdhIKz77EHxdkEjwOEmKOW/YcH3Zchesc0XAT79bZmtpKYeQ0Hc47zB+//iMAN3e8mf7N+ltcUe1kGAaBXbujZz7yVq4knJlZYhtHcjJxvXoRf2Ev4npdiLvVWeosKDWG02GP3rFUVv5QODqtQDS4FJj9YXIKQuQWduzN9hcuFxy3fNzrQGGoKeo/k5FT9rM0RRI8xwcaJ3FuZ2GAc5jLbgdxnuLnhGi7k7jCQBPndhDvMZ89Trv+/68GFEZOQ8SI8MjSRzjmP0b7uu25p/s9VpdUa0TDx9o15K9ZQ+6KlYQOlZzx1h4XR+z5PYm/sDfxF/bC066dbrsV+QkepwNPgoP6pRzN98cCoUhxQDkuqJxyOVDclus3w1DR+nDEAIrvcDrEmQcbMMehOT6cRJ9/KuS4zfb4aBgqDjlxbicxLgWc8qYwchr+s+U/LE9bTowjhr8N+JvmnalARjiMf/t28lavIW/tWvLWrCF85EiJbWwuF7Hdu0fPfMR26YzN5bKoYpHay+2043a6qVOGjsDHMwwDf8i8wyl6VqYwqOQFzH4yuf7C54C5TZ7fXP7xujx/mBx/KHopKhQxyCq8RFVebDazA3Gsy0Gs20Gcu3g51mUGluJlR4nlmML1xcuOE7aNcTpq3eUqhZGf8d3R7/jnun8CcP/599Pa29riimoWIxAgf9Nm8tauIW/NGvLXrSeSnV1iG5vbTWy3bsT27EH8+ecT27079pjTH9pcRKo2m80WnbagtGPNnEooHCEvGC4OLdHwEiLHHybPHyI3cNxzIESuP1y4vmTIKVqXHzQ7DxsGhe3h0sw7WSoxLrsZao4LPEXhpUSQcTmILQo3TrsZZgqPZdF7Y5wOYt12PM7i4BPjclSpuaAURn5Cfiif3y/+PcFIkIHNB3J126utLqnaCx05Qv433xQ+viV/40aMgpKd5+zx8cR2705cz57E9exBTJcuGu9DRErF6bCT5LCTFFN+Z03DEYP8oBlOCgIR8oJmWCkoDCb5wTD5heElPxghPxAq3N5sjy4ft11BMFK4fZiCYPGgi2Y/nLLf+n063A47MS67GVzcDh65rANDOllzY4bCyE94evXT7PLtokFsAx7r85iuEZaSEQxS8N028r/9NhpAgvv2nbCdo06daPCI7dmTmHbtsDn1T1NEqhaHvXjOpooQKQw7xWElXBx+CoNMXiAcXc4/bn1eIIw/GKGg6P2F4aYgGC5uC4Sjl68AAuEIgXAkegkrGDYq5HOdDv3GP4UFqQv4aPtHAPy131+pE1OK2cJqIcMwCKWlkb9pU2H4+JaCTZsw/D/qhGaz4Tn7bGLP7UbsuecSe955uFu1UtATkVrPbi++9buiRCJm/5ySocV8tKqfUGH7/TkKIyeRnpceHe59fKfx9G7S29qCqhjDMAgdPEjB5s3kb9pEweYtFGzaRPjYsRO2tXu9xHbravb5OPdcYrt2rXEz3IqIVBd2u83sN+J2UJX+xFYY+RHDMPjjsj+S6c+kQ90O3HNe7b6N1zAMQocOUbDFDBz5mzdTsGnzCXe4AOB04jnnHGK7dDGDx7ndcJ91lm6zFRGRn6Qw8iMff/8xX+//GrfdzeT+k3E5as8to5H8fPzff0/Btm34t23Hv20bBdu3E/H5TtzY4cBz9tnEdO5ETKdOxHbujKddO+ye8ukJLyIitYfCyHH2Zu3l6dVPA3Bv93tpk9zG4ooqhhEKEdi7l8DOnSWCR2DPHvOetR9zOPC0bk1M587EdO5EbKdOeNq31+21IiJSLhRGCoUjYR75+hHyQ/n0bNSTGzreYHVJZyySl4d/5y4Cu3bi37GDwM5d+HfuILAnFYLBk77HUbcuMe3b4WnXHk+7tsS0a4e7TRvdWisiIhVGYaTQO1veYX36euKccfyl31+w26pHP4dIXh6BvfsI7k0lkLqXwN5Ugql78e/aSehA2infZ4uJwd26FTHntMXTrl00eDjr16/E6kVERMoYRqZMmcLTTz9NWloanTp14rnnnqN//1NPHLdo0SImTZrE5s2badKkCb///e+ZMGFCmYsub9uPbedf6/8FwIMXPEjThKYWV1QsUlBA6OBBggcPEkw7SHD//uOCx17CGRk/+X5H3bq4W7fC07qN+dymDZ7WrXGmpKhjqYiIVAmlDiMffvghEydOZMqUKfTt25eXX36Z4cOHs2XLFlq0aHHC9rt27eKyyy7j9ttv59133+Xrr7/mzjvvpEGDBowdO7ZcPsSZCIaDPLzkYYKRIBc1u4hRZ4+qlP0a4TDhY8cIHTlK+EgGoSNHCB48SCitMHgcTCOUdvCkt8v+mN3rxd28Oe4WzXE1M5/drVrhbt0aZ52qdPOWiIjIiWyGcbIei6fWq1cvunfvzosvvhht69ChA6NGjWLy5MknbP/AAw8wc+ZMtm7dGm2bMGEC3377LcuXLz+tfWZlZeH1evH5fCQlJZWm3J/1/LrneXXjqyR7kpk+cjr1Y0t3mcIwDIyCAsJZWUSysggXPszlbMJZPiJZWWboOHqEUMYRQkeOmCEjEvn5HQC22FhcjRvjSmmMMyUFd/MWZvAofHZ4vWX56CIiIhXqdL+/S3VmJBAIsHbtWh588MES7UOGDGHZsmUnfc/y5csZMmRIibahQ4fy+uuvEwwGcZ1ktlW/34//uJE7s7KySlPmadv4zvOE5r7MrRGDvo3aEtj0HAfCEYxwCMIRjEgYQiEiBX6M/HwiBQVECvIx8guIFBRE2043VJzAZsORnIyzfj0cdevhbNQQV+MUM3Q0bowrJQVX48bYvV6NUCoiIjVWqcJIRkYG4XCYRo0alWhv1KgRBw8ePOl7Dh48eNLtQ6EQGRkZpKSknPCeyZMn89hjj5WmtFIzDIMtn73H8G+LgsQyTjKaxulzOHAkJmL3JuFITMKRlIQ9yXx2JCXiqFPXDB316heGj7o469bVHCwiIlLrlemb8Md/pRuG8ZN/uZ9s+5O1F3nooYeYNGlS9HVWVhbNmzcvS6k/WdN5V01gZcr/uLjlYGLcsdgcTnDYsdkd5nPha3tMLPbYGGwxMdhjY7HHxmI7vi0uHnt8nM5eiIiIlEGpwkj9+vVxOBwnnAVJT08/4exHkcaNG590e6fTSb169U76Ho/Hg6cSRvJse/UttL36lgrfj4iIiJxaqe7tdLvd9OjRg3nz5pVonzdvHn369Dnpe3r37n3C9nPnzqVnz54n7S8iIiIitUupB5qYNGkSr732Gm+88QZbt27lt7/9LampqdFxQx566CFuuumm6PYTJkxgz549TJo0ia1bt/LGG2/w+uuvc99995XfpxAREZFqq9R9RsaNG8eRI0d4/PHHSUtLo3PnzsyePZuWLVsCkJaWRmpqanT7Vq1aMXv2bH7729/y73//myZNmvD8889XiTFGRERExHqlHmfEChU5zoiIiIhUjNP9/tZ44CIiImIphRERERGxlMKIiIiIWEphRERERCylMCIiIiKWUhgRERERSymMiIiIiKUURkRERMRSCiMiIiJiqVIPB2+FokFis7KyLK5ERERETlfR9/bPDfZeLcJIdnY2AM2bN7e4EhERESmt7OxsvF7vKddXi7lpIpEIBw4cIDExEZvNVm4/Nysri+bNm7N3717NeVPBdKwrh45z5dBxrhw6zpWnoo61YRhkZ2fTpEkT7PZT9wypFmdG7HY7zZo1q7Cfn5SUpH/olUTHunLoOFcOHefKoeNceSriWP/UGZEi6sAqIiIillIYEREREUvV6jDi8Xj405/+hMfjsbqUGk/HunLoOFcOHefKoeNceaw+1tWiA6uIiIjUXLX6zIiIiIhYT2FERERELKUwIiIiIpZSGBERERFL1eowMmXKFFq1akVMTAw9evRgyZIlVpdUbUyePJnzzz+fxMREGjZsyKhRo9i2bVuJbQzD4NFHH6VJkybExsZy8cUXs3nz5hLb+P1+7r77burXr098fDxXXnkl+/btq8yPUq1MnjwZm83GxIkTo206zuVn//793HDDDdSrV4+4uDjOPfdc1q5dG12vY33mQqEQf/jDH2jVqhWxsbG0bt2axx9/nEgkEt1Gx7lsFi9ezBVXXEGTJk2w2WzMmDGjxPryOq7Hjh3jxhtvxOv14vV6ufHGG8nMzDyz4o1a6oMPPjBcLpfx6quvGlu2bDHuvfdeIz4+3tizZ4/VpVULQ4cONd58801j06ZNxjfffGOMGDHCaNGihZGTkxPd5sknnzQSExONqVOnGhs3bjTGjRtnpKSkGFlZWdFtJkyYYDRt2tSYN2+esW7dOmPgwIFGt27djFAoZMXHqtJWrVplnHXWWUbXrl2Ne++9N9qu41w+jh49arRs2dIYP368sXLlSmPXrl3G/PnzjR9++CG6jY71mfvLX/5i1KtXz5g1a5axa9cu46OPPjISEhKM5557LrqNjnPZzJ4923jkkUeMqVOnGoAxffr0EuvL67gOGzbM6Ny5s7Fs2TJj2bJlRufOnY3LL7/8jGqvtWHkggsuMCZMmFCirX379saDDz5oUUXVW3p6ugEYixYtMgzDMCKRiNG4cWPjySefjG5TUFBgeL1e46WXXjIMwzAyMzMNl8tlfPDBB9Ft9u/fb9jtdmPOnDmV+wGquOzsbOOcc84x5s2bZ1x00UXRMKLjXH4eeOABo1+/fqdcr2NdPkaMGGH88pe/LNE2ZswY44YbbjAMQ8e5vPw4jJTXcd2yZYsBGCtWrIhus3z5cgMwvvvuuzLXWysv0wQCAdauXcuQIUNKtA8ZMoRly5ZZVFX15vP5AKhbty4Au3bt4uDBgyWOscfj4aKLLooe47Vr1xIMBkts06RJEzp37qz/Dj/ym9/8hhEjRnDJJZeUaNdxLj8zZ86kZ8+eXH311TRs2JDzzjuPV199Nbpex7p89OvXjwULFrB9+3YAvv32W5YuXcpll10G6DhXlPI6rsuXL8fr9dKrV6/oNhdeeCFer/eMjn21mCivvGVkZBAOh2nUqFGJ9kaNGnHw4EGLqqq+DMNg0qRJ9OvXj86dOwNEj+PJjvGePXui27jdburUqXPCNvrvUOyDDz5g3bp1rF69+oR1Os7lZ+fOnbz44otMmjSJhx9+mFWrVnHPPffg8Xi46aabdKzLyQMPPIDP56N9+/Y4HA7C4TB//etf+cUvfgHo33RFKa/jevDgQRo2bHjCz2/YsOEZHftaGUaK2Gy2Eq8NwzihTX7eXXfdxYYNG1i6dOkJ68pyjPXfodjevXu59957mTt3LjExMafcTsf5zEUiEXr27MkTTzwBwHnnncfmzZt58cUXuemmm6Lb6VifmQ8//JB3332X//73v3Tq1IlvvvmGiRMn0qRJE26++ebodjrOFaM8juvJtj/TY18rL9PUr18fh8NxQopLT08/ITXKT7v77ruZOXMmX331Fc2aNYu2N27cGOAnj3Hjxo0JBAIcO3bslNvUdmvXriU9PZ0ePXrgdDpxOp0sWrSI559/HqfTGT1OOs5nLiUlhY4dO5Zo69ChA6mpqYD+TZeX+++/nwcffJBrr72WLl26cOONN/Lb3/6WyZMnAzrOFaW8jmvjxo05dOjQCT//8OHDZ3Tsa2UYcbvd9OjRg3nz5pVonzdvHn369LGoqurFMAzuuusupk2bxpdffkmrVq1KrG/VqhWNGzcucYwDgQCLFi2KHuMePXrgcrlKbJOWlsamTZv036HQ4MGD2bhxI99880300bNnT66//nq++eYbWrdureNcTvr27XvC7enbt2+nZcuWgP5Nl5e8vDzs9pJfPQ6HI3prr45zxSiv49q7d298Ph+rVq2KbrNy5Up8Pt+ZHfsyd32t5opu7X399deNLVu2GBMnTjTi4+ON3bt3W11atXDHHXcYXq/XWLhwoZGWlhZ95OXlRbd58sknDa/Xa0ybNs3YuHGj8Ytf/OKkt5E1a9bMmD9/vrFu3Tpj0KBBtf72vJ9z/N00hqHjXF5WrVplOJ1O469//avx/fffG++9954RFxdnvPvuu9FtdKzP3M0332w0bdo0emvvtGnTjPr16xu///3vo9voOJdNdna2sX79emP9+vUGYDzzzDPG+vXro0NWlNdxHTZsmNG1a1dj+fLlxvLly40uXbro1t4z8e9//9to2bKl4Xa7je7du0dvS5WfB5z08eabb0a3iUQixp/+9CejcePGhsfjMQYMGGBs3LixxM/Jz8837rrrLqNu3bpGbGyscfnllxupqamV/Gmqlx+HER3n8vPpp58anTt3Njwej9G+fXvjlVdeKbFex/rMZWVlGffee6/RokULIyYmxmjdurXxyCOPGH6/P7qNjnPZfPXVVyf9vXzzzTcbhlF+x/XIkSPG9ddfbyQmJhqJiYnG9ddfbxw7duyMarcZhmGU/byKiIiIyJmplX1GREREpOpQGBERERFLKYyIiIiIpRRGRERExFIKIyIiImIphRERERGxlMKIiIiIWEphRERERCylMCIiIiKWUhgRERERSymMiIiIiKUURkRERMRS/w+MYRa6yvoKgwAAAABJRU5ErkJggg==\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(result_np[:,0])\n", - "plt.plot(result_np[:,1])\n", - "plt.plot(result_np[:,2])\n", - "plt.plot(result_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"g1\": 0., \"g2\": 0.}\n", - "\n", - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test = ode_solver(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(results_test_np[:,0])\n", - "plt.plot(results_test_np[:,1])\n", - "plt.plot(results_test_np[:,2])\n", - "plt.plot(results_test_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(5.4204e-08, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0228, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1157, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.0973, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(1.9755e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0920, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1693, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1577, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(2.0686e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0965, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.1552, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1903, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(1.7562e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0972, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1963, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(1.0491e-09, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(-0.0294, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1926, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(7.1560e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0968, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0294, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1916, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(4.6864e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0976, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.0779, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1925, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.0227e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0981, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1186, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1944, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(2.0427e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0986, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1537, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1955, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(1.2669e-10, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0991, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.1835, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1969, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(7.9409e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2084, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1974, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(4.5179e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0993, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2287, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1976, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.7858e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0995, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2446, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1981, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(1.7394e-11, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0996, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2574, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1986, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(9.0507e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0997, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2676, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1988, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(5.6748e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0998, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2754, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1991, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(3.2592e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2816, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1993, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(1.6021e-12, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2864, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1994, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(9.2377e-13, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2898, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1995, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(4.5694e-13, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0999, requires_grad=True), 'g1': Parameter containing:\n", - "tensor(0.2925, requires_grad=True), 'g2': Parameter containing:\n", - "tensor(0.1996, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.01},\n", - " max_epochs=20\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'a': 0.09993458539247513, 'g1': 0.2925073206424713, 'g2': 0.19956320524215698}" - ] - }, - "metadata": {}, - "execution_count": 10 - } - ], - "source": [ - "ode_solver.get_coeffs()\n", - "\n", - "# Coefficients differ by at most 0.01" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7961e-03, 0.0000e+00],\n", - " [9.9999e-02, 8.9641e-01, 3.5868e-03, 1.7949e-06],\n", - " ...,\n", - " [5.4365e-03, 1.9908e-06, 1.2821e-04, 9.9443e-01],\n", - " [5.4365e-03, 1.9889e-06, 1.2809e-04, 9.9443e-01],\n", - " [5.4365e-03, 1.9870e-06, 1.2796e-04, 9.9443e-01]],\n", - " grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 11 - } - ], - "source": [ - "results_test = ode_solver(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/plain": "
    ", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:43:26.300181\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(results_test_np[:,0])\n", - "plt.plot(results_test_np[:,1])\n", - "plt.plot(results_test_np[:,2])\n", - "plt.plot(results_test_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"SEIR_fitRandomSample.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": 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sF7sK)VwSR;m8@nh>)FU=wy=#I>|zgl+0Q}#)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "x_train, y_train = generate_ode_dataset(result, num_steps=5)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", + " ax = fig.gca(projection='3d')\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,0], result_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Runge-Kutta method for training" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", + " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" + ] + } + ], + "source": [ + "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=torch.optim.Adam,\n", + " optimizer_args={\"lr\": 0.01}\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "GPU available: False, used: False\n", + "TPU available: False, using: 0 TPU cores\n", + "IPU available: False, using: 0 IPUs\n", + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/configuration_validator.py:101: UserWarning: you defined a validation_step but have no val_dataloader. Skipping val loop\n", + " rank_zero_warn(f\"you defined a {step_name} but have no {loader_name}. Skipping {stage} loop\")\n", + "\n", + " | Name | Type | Params\n", + "------------------------------\n", + "------------------------------\n", + "3 Trainable params\n", + "0 Non-trainable params\n", + "3 Total params\n", + "0.000 Total estimated model params size (MB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:105: UserWarning: The dataloader, train dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 4 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", + " rank_zero_warn(\n", + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:322: UserWarning: The number of training samples (8) is smaller than the logging interval Trainer(log_every_n_steps=50). Set a lower value for log_every_n_steps if you want to see logs for the training epoch.\n", + " rank_zero_warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0: 0%| | 0/8 [00:00<00:00, 665.87it/s] " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:216: UserWarning: Using a target size (torch.Size([128, 5, 3])) that is different to the input size (torch.Size([5, 3])). This will likely lead to incorrect results due to broadcasting. Please ensure they have the same size.\n", + " return self.criterion(pred, y)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0: 12%|█▎ | 1/8 [00:04<00:14, 2.03s/it, loss=32.6, v_num=17, train_loss_step=32.60]" + ] + }, + { + "ename": "RuntimeError", + "evalue": "Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m ode_solver_train.fit(\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mx_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m )\n", + "\u001b[0;32m~/Documents/GitHub/torchTS/torchts/nn/model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, x, y, max_epochs, batch_size)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0mloader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataLoader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m 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\u001b[0;36mbackward\u001b[0;34m(self, closure_loss, *args, **kwargs)\u001b[0m\n\u001b[1;32m 274\u001b[0m \u001b[0mclosure_loss\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mprecision_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpre_backward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlightning_module\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mclosure_loss\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 276\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mprecision_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlightning_module\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mclosure_loss\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m 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pass\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 77\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmodel\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mLightningModule\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 78\u001b[0;31m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclosure_loss\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moptimizer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 79\u001b[0m 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\u001b[0mretain_graph\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 220\u001b[0m create_graph=create_graph)\n\u001b[0;32m--> 221\u001b[0;31m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mautograd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgradient\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 222\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 223\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mregister_hook\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhook\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(tensors, grad_tensors, retain_graph, create_graph, grad_variables)\u001b[0m\n\u001b[1;32m 128\u001b[0m \u001b[0mretain_graph\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 130\u001b[0;31m Variable._execution_engine.run_backward(\n\u001b[0m\u001b[1;32m 131\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 132\u001b[0m allow_unreachable=True) # allow_unreachable flag\n", + "\u001b[0;31mRuntimeError\u001b[0m: Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time." + ] + } + ], + "source": [ + "ode_solver_train.fit(\n", + " x_train, y_train\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver_train.coeffs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Predictions for nt = 10000" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results_test = ode_solver_train(10000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", + "\n", + "# 3D plot\n", + "fig = plt.figure()\n", + "ax = fig.gca(projection='3d')\n", + "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Lorenz63_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"sigma\": 10., \"rho\": 28., \"beta\": 2.7},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={\"sigma\": 10.0535, \"rho\": 28.0544, \"beta\": 2.6995},\n", + " dt=0.01,\n", + " solver=\"rk4\",\n", + " optimizer=None,\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "451aa0df4a570cd656587110b6aa2986586cee19fad7a1827a6dda4238079d81" + }, + "kernelspec": { + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb b/examples/ode/lorenz63/Lorenz63Train_fit.ipynb deleted file mode 100644 index 0cb84266..00000000 --- a/examples/ode/lorenz63/Lorenz63Train_fit.ipynb +++ /dev/null @@ -1,814 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", - " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", - " ...,\n", - " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", - " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", - " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", - " ax = fig.gca(projection='3d')\n" - ] - }, - { - "data": { - "image/png": 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JYmNj2foMHx1nCyFUUXKoayz+QCaW4wjesix8Tw8HSyyLpb68Qa57ORpZLTcy9BdibLqk44ymaahUKhQWFsJgMHh0nHE1zgLpOFsIcsSyNGRiOU7AnU3h6gnxiWCIZanU13xrAeJt0oSQgzXJOtZTamKf5slmGxkZicjISLbjzGQysamz7u5uD9UA0nEW6HUejzWWQFJhUVFRAl4Vv5CJxU8EO5viDwIlFl9SX94QMxVmNBqh0+lgt9vZdAuRlA/kRT+WIxYppN4oikJMTAxiYmKQnZ3NdpwZjUaMjo6ira3No+MsISEBGo0mqDXFwHIhNLPZDIZhEBMTI+BV8QuZWPwAH7Mp/sBfYvEn9eUNksYTMhXGMAx6e3vR1taGVatWIT4+nu1U6u/vB+CWlCdE48sp+FiPWADpiVByO85yc3PhcrlYjbP+/n40NTUhMjKSrc/Ex8dDrVYv+PvkVNjimJ2dBQA5FXYsgqZpjI6OIjIyEhqNRjS7YF9PrP6mvuaDkK27TqcTDQ0NMBqN2LRpE2JiYuBwOBAdHY3MzEx2wM9gMGB8fBwdHR1Qq9UsySQkJAjqLS9VSCFiWQpKpfKojrPJyUkYDAZ0dnbCbDazGmdarfYojbPlKkIp1rqzs7NQqVR+RYGhhkwsS4CkvhwOB+rq6rBhwwbRBBp9jVgCSX3NB6EiFpPJhJqaGmg0GmzduhUajYZteOCuTQb8Vq5c6XEKJkq/0dHRHqdgbx2mYxVSi1iWglqtRnJyMhsx22w21uysubkZdrvdw1UzFMRC03TIJv4DiVgiIyOXldySTCyLwDv1RbR9xMJSxOJyudDU1BRQ6muh9fjepIeGhtDY2Og36Xmfgom3vMFgQEtLCxwOB+Li4qDRaOByuZbdYKevCEXEwvcGptFokJaWhrS0NDAM42HfPDAwAKfTCY1Gg76+PiQkJCA6Olrwexkq10pyUPVnXZPJtKzSYIBMLAtiPlkWMWXsgcWJhY/Ulzf4TIXRNI2WlhYMDQ1h48aN7LxEoOB6y5PNyWAwYGRkBBaLBZ988gkbzZD6jFBYbhGElNajKIrtOCMp0MbGRvbgwHfH2UIIFbGQdf2NWJZTRxggE8tRWMwyWCwZe4KFiIWv1Jc3+EqFWSwW6HQ60DSNrVu3IjIyct61AgV3c4qIiEB7ezvWrFnDEk1bWxvCw8M9nBgXKx5LHWK3G4u5HnFcjIiIQH5+PmiaZmttpOMsLCzMQ+OMj1pDqIiFm/3wFWazmde5ITEgEwsH3pbB3g8dV/JaDJDUFDlF8p36Wmi9YDAxMYHa2lqkpKRg7dq1osnDxMXFIS4uDrm5uR5OjN3d3WhoaEBMTAzbCBAXF7ds8tXLoXgfLLg1FoVC4XEvXS4X2zlILLMjIyM9IppADg1Cjwosti7gH6GZTCY5YlmO4MqyLPbAhaLGArgfRhIF8Jn68kYwqTCGYdDV1YWuri6sWbMGWVlZPF/d4mtz4e3EaLPZ2CnyxsZGOJ1Oj7Zmf06DoWgUEDsVFor00EJrKpVK9j7l5+ezHWfehwZCMtymjsUQ6uFIf+6pnApbhvBnNiUUqTDAnfpqbW1FdnY2CgoKBHshAq0hkY45k8mEyspKxMbGLvlv+Nosffk9Go3GwyBrdnaWbQTo7u4+yrdESrbMx0PE4g+ZLdRxZjQa0draCpvN5qFxFhsbO+/vXi7DkYBcvF928NcyWOyIhWwq7e3tgqS+vBFIxDI1NQWdTofo6Ghs3bo1JLUMf66ZoihER0cjOjoaK1asAE3TbKplcHAQLS0tiIiIYE/J8fHxgtrXLgbyuY6l4v18CKauw+04A8A2dZDUGU3TiIuLY4mGdJwtl+FIYK7GspxwXBJLoLIsYkYspOsLAMrLy1lfDSHhT/GeYRgMDAygpaUFeXl5yMvL83tz4GMD48OagKRR8vLyPIb7Ojo6YLFYEBsby0Y0ciqMf/C5yUdERCAzM5PtOCPRKUmdURTFDtuSg5SY3+/xIEAJHIfEEowsi1gRC+n6ys7OhslkEi0K8LV4T5oIxsfHUVZWxs6ahAp8bvbeqRYyc2EwGDA4OAiHw4HOzk6kpKRAq9UiMjJSsI0pFCQm9VSYP5gvOiX2zaOjo7BYLDh06JBHI4DQadBApv1NJhNbL1wuOK6IJVjLYKEjlvm6vvr6+kRLv/mSCpudnYVOp4NSqcTWrVslVY8QAhEREYiIiEBGRgYYhsGnn36K6OhoTExMoLOzE2q1mo1mFrL7DRShSIWFwiZYrDW5HWfh4eEYGBhAXl7eUWnQYDvOFkMgNRYiibOccFwQy2KzKf5AqVTCbrfzfXkA5lJfKpXKo+tLzKHMpdYaHR1FfX09MjMzsXr1akm07IppTUyGZNPS0hAXF8e2whoMBlZ8MTo6miUaXzuUfFlXLIS63VjMNbkdZwDYNnXS1NHQ0OBxP+Pi4oKutwWaCptvFkzKOOaJxXs2JRgzLqEiFm7qy7vrS0xiWWiTpmka7e3t6Ovrw7p165Ceni7K9Ugd3hsTmR7ndiiRwjGxBfDn2ZNTYcJhvpSUd5s6V0aI23FGoplA5qHkGssyhxCWwXzXWHwZeBSbWLzXstlsqK2thc1mQ1VVleQecClNI88nO0M2pr6+PgDwaGv29RR6PEQsUoySuPcTgIfG2dDQEDsPRYjGl4ODTCzLGN4Fer4sg/mMWBZKfc23ppipMO4pmRhyJSQkoKysLGRtt0tBiurG82lieUuVaDQaD1sA73z+8RKxhCIVFkitw7vexu046+3tBQCP+sx8jR2BFO/ldmMJwN/ZFH/AV8SyWOrLG0IoDi8Ekgojhlzt7e0oLCxEdna2pCIDLqR6Xd5YyBaAm88nsjMkzRKqOZZQKP4utxbn+TrOTCaTh5+QSqXy0DgLDw8P2JZYLt6HCGJYBgcbsQSi9SV2KszhcECn02FychIVFRVISEgQZe1gIObJnq+1vG0BuJ4lTU1NcDqdrIKByWRCbGysKARzPKXC+NSxUygURx0ciH3z0NAQWltb2axEdHQ07Ha7zx2EciosRBDLMjiYiIWb+tq6davPsu5iEovL5UJ/fz9iY2NxwgknHJeOjaGCt2eJ2WzG2NgYJicnodPp2EFOkjoTqs1bqvUOIdYUMrVLZILI4C3pOGtvb8fU1BTbts7VOFvoepYjsYS+XzRI0DQNm80Gp9PJtoMK9WIEGrEMDQ3h888/R3JyMjZv3uyXV4hYxDI0NITx8XFER0ejoqJi2ZDKckmF+QOKohAVFYWMjAwAwIknnoj169cjMjISw8PD+Pzzz/HFF1+gtbUV4+PjR7lxBoPjpStMbBFK0nEWGRmJ3NxcnHjiicjJyYHL5UJ7ezs++eQTHDlyBF1dXTAajew7T9O0oDWWe+65BxRFYffu3ezPGIbB7bffjoyMDERERODUU09FY2OjX7932UYs3NkU8mAK/UL4G7G4XC40NzdjdHQ0YK0voYmFGHINDw8jKSlJFPc+viHF4j0fIJ9LoVAgPj6elfVxOp1s0bizsxMWi8XDFmAh4UVf1xS7prMcayyBghCaLx1n+/btQ3R0NJKTkwWZY/n666/xxBNPYMOGDR4/v++++/DAAw/g2WefRWFhIe666y6ceeaZaG1t9bnWsyyJhaZpOJ1OwVNf3vDHjyXQ1Jc3hCQWIsXPMAyqqqrQ29u77Dbp5UaC/mCh4r1KpfKQnbFarazwYn19PWiaZm0BEhIS/LYFEHvSHxD/PkpNhNK748xsNqOurg5vv/02jEYjVq9ejVNPPRXf+MY3cOGFF2LlypVBXYfJZMJll12GJ598EnfddRf7c4Zh8NBDD+G2227DxRdfDAB47rnnkJqaihdeeAHXXXedT79/WaXCSIF+amoK7733nuCpL2/4uskHk/ryBl+ujt6YmJjAoUOHEBMTg8rKSrY1Ukz1Zr6w3MjQH/jybIeHhyMjIwPFxcU48cQTUV5ejoSEBOj1ehw+fBifffYZmpqaMDw8DJvNtujvCkXEAoTGIlgMEzpv+NIVRlKhN954I/70pz+Boii88847qKqqwhtvvIGPP/446OvYtWsXzjvvPJxxxhkeP+/u7sbIyAjOOuss9mcajQannHIKDh065PPvXzYRCzf1RVEU7Ha76C8BIZaF1uUj9bXQmnyBYRh0dnaiu7v7KEMusf1m+EAoIhax1gyEMLltsNnZ2awtgMFgYB0Yo6Ki2GjGu2gsdloqVBFLqI2+fAVxj9y0aRM2b96MW2+9NehrePHFF1FdXY2vv/76qD8bGRkBADZFR5CamsrO6viCZUEs3NkUiqLYQTKxHw7yQMx32uEr9eUNPonFbrejrq4OZrN5XkMuMXW3ZCwNPg5OXFsA4sBI2prb2tpY2RnScSZ2V1iovOdDlQrzN1Li25a4v78fN910E955551FOwu9nwF/n0VJE8tCsynkA7pcLlGNpciD6H3qGBoaQmNjoyAOj3wRy9TUFGpqahAbG4uqqqp5vzcxW5v5xLFMhnxv8mq1GikpKUhJSQEwZ4xFhDSdTqeHLUBERISgREOI7HiqsfizLmk15uv7OXLkCMbGxlBeXu5xTR9//DEeeeQRtLa2AnBHLlxNwLGxsaOimMUgWWJZbDaF1Fb4bLP0BdyIBRAm9eWNYDd7hmHQ39+P1tZW5OfnIzc3d8GHdDlGLMdD8V5IeBtjffzxx4iOjsb4+Dja29sRFhbmITvDdxt6KDrCgNDUWIh+oT/rms1mXjvCTj/9dNTX13v87Pvf/z6Kiopw6623Ii8vD2lpaTh48CBKS0sBuDMdH330Efbu3evzOpIkFpqmYbfbF52g96dDiy+Qk5XL5RIs9eWNYAjU5XKhsbERExMTPhlyiUksY2NjGBgYYFMwwRhmLTcy9AdiEidZKyMjA9HR0azsDNHCamxsRHR0NEs0cXFxQW/OYqTerFagqUmB3l4FoqIYxMUx6O6OgFargkYDREQAYnzNZL/yNxXG53BkTEwM1q1b5/GzqKgoJCYmsj/fvXs39uzZg4KCAhQUFGDPnj2IjIzEpZde6vM6kiIWkvoiisSLdXyFgljIuiMjI+jq6hIk9eWNQCOW2dlZ1NTUsMTny6S2GF1hDMOgo6MDPT09yMzMhF6vZw2zyIal1Wp9TnHKEQv/a5Lv1Ft2xm63s23Nzc3NcDgcHn7y/toCkPX4fH/0egp1dQrU1ytQV6dEfb0CbW0KuFze13US+/+p1W6yiY0FcnJo/PKXNlRW8v8ekHfLH2KZnZ0VXYDylltugcViwfXXXw+j0YjKykq88847fumVSYZY/JVlUalUohOLy+UCTdPo7u7Gxo0b2Ty1kAiEWAI15BJa8NLhcKCurg6zs7PYvHkzNBoN24lGOpd6enrQ2NiI2NhYXgb++IbYumShmIJfaM2wsLCjZGdII0BPT49HowCpzyyFQCMWhgG6uynU1Sn/RyRuEhkamv85SUyksWoVA5sNmJykoNc7MTurBk1TcDgoTExQmJgAuroU+OADFa680o7f/tYGPqXySPORP59XDDmXDz/80ON/UxSF22+/HbfffnvAv1MSxBKIZbDYEQtJfQHA2rVrRSEVwL/NnmvItX79eqSlpfm1lpARy8zMDGpqahAVFYWqqioolUo4HA4AnoZZq1atgs1mYwvKZOCPbFaJiYlHbVhyKowf+DMFT2YtoqKikJWVxfrJGwwGjIyMoK2tDeHh4Ww0s5DNrz9FdIYBjhxR4D//UeHVV9Xo7p7/3+Xl0diwwYX162msX+/Chg000tMZNt3FMAw++OADbNlSBZcrAlNTFKamKExOUvjHP9T4+9/VePrpMLz+ugr33mvDzp1OXlJlgSiuhyJi4QMhJZZgLIPFJBZu19fY2JjonWi+bPZWqxW1tbVwOBwBG3IJFbEMDw+joaEBK1euxKpVq1gCW2iyXKPRID09Henp6WAYBiaTCXq9HmNjY2hvb2c3LFKbOVYRKsIMhMy4fvK5ubnz2vwS90VSnyHP9mLEQtPAl18q8eqrKrz2mgr9/XN/NyyMQXHxHIls2ECjuNiFpTI25HtVqZSIjARiYhhkZbl/dsIJLlxyiQO7d2vQ3q7ElVdG4B//cOLRR63IyAjufgRq8iUTix/wtgz2N9UhBrFwu75I6kuv14vakusLsRgMBtTW1kKr1aK8vDxg1Va+i/ckgurv7w84dUhRFGJiYhATE4OVK1d6bFgdHR2wWq0A3BPDiYmJAeX5pYxQTMHzsaa3zS83Cm1sbGTdF8PCwthIiazrdAKffabEK6+o8PrrKoyOzu0NUVEMzj7bie3bnTjzTCcCyRItteecdJILhw6Z8eCDYfj978Pw3nsq3HhjOPbts/i/GAeBEos/bb5SQUiIhVtPCVSSRWhiWajrS+wU3GLEwjAMenp60NHRgdWrV2PFihVBbQp8D2PW1tbCarViy5YtvOWJvTesqakpHDlyBCaTCf39/aAoyiNtptFoeFk3FBA7YhFyCt47Cp2dnWXTZmazGR9+eAidnStx6FA6PvggBnr93KYfF8dg2zY3mXzjG04E24DJreMufL3Az39ux5lnOnHaaVF4/30ljEYEVXMJpMV5OUrmAyEiFjKHEkxxUqlUCjbHstjAo9hDhAut53A40NDQgKmpKWzatIlVvg0GfEUsZBgzLi4OVVVVgvpekG634uJiAO5ajl6vx9DQEFpaWlj5Eq1Wi/j4eF5mF8SUdFmuEctiILIzERHROHQoHi+9pMSXX6ZgenruPYuNteO006axY4cT27ZpEBnJ3zNEGgZ8yZKUl9MoKnKhpUWJd95R4TvfCXzPCUQpZDnaEgMhTIUFO20rROQwX+pLjHUXw3zEQgrhERER2Lp1K29Da3wU74ntcl5eHvLy8kTZpAi4ef68vDxWvkSv16OlpYVtj01MTIRWq/VL9TdUOBaJZWSEwvPPq/Hss2r0988VRFJTaVxwgRPnnWfF2rUTmJ52p86+/NLq0SUYExMTVJegv1P355/vREuLEm+8ETyx+Huw4XuORSxIoissEPAdsfg68Ch2xOK92ZONm1sI5wvBFO+5vi6+qBDwvXnNd91c+RLSHkvy/F1dXVCpVB6zM1IzNxM7FSYksdA08NFHSjzzjBqvv66C0+leIy7OiTPPHMM118SjstIF935PAUhGerr7GSJeJURIk3QJBjpcGwix/P73Ghw8qILFgoBTcYEQi9lsXnZ+90CII5ZgoFKplpQA9xX+aH2FKmKhaRrNzc0YGRkRTD4m0FSYzWaDTqeD0+lEVVWVJDu1uO2xK1asAE3TbBNAX18fmpqaPMyySNdSqLHcIxa9nsI//qHC00+Hoatr7vvcssWJK690oLy8G1brJNavX7/g7/D2KjGZTDAYDJiYmGCHa7m2zUsdEPwlltJSGpmZNAYHFfjwQyW2bQvs/Q+0eC/F92kpLOuIJdgN3pfUlzfElpYn63355ZesIZdQD1ogqbDJyUnU1NRAq9WiuLjYr3oKHxtYoL9DoVCwGxHgJkeSNmtoaPCYnRFDjHE+hKLGwocgJMMAX3yhxFNPqfHKKyrY7e7fFxPD4LvfdeDKKx0oLnY/Z729NOx23zd5bpcgsfYlw7X9/f1oampiveQXqqv5W+ugKOCMM5x47rkwHDqkCphY/CU00uQgRywiIlhiCVTry1974mAxNTUFu92O1NRUFBUVCSqc528qrL+/Hy0tLSgoKEBOTk5I6xXBpo00Go3HVDk5FRMxRo1Gw8rKiyV+GopUWDD3cGoKePFFNZ5+Wo3m5rnntKTEhauucmDnTsdR7cHBaoVxh2sBdzciSZu1traytgDc+kwg3Vl6vfsa09ICf/cDjVjkGouICIZYgpG5VygUsNvtAa3rD4imVnd3NyiKYruehISvqTCaptHU1ITR0VGfxC2FhBBkNt+pmGxWLpeL7XjjSs4IRapie6MEsl51tQJPP63Gvn1qmM3ufx8ZyeCb33RHJ2VlC2/GfMvXc73kGYZhbQGMRiP6+vr+d22RcDqdfikHNzS4CWH9+uCIxd/harkrzE8E+8IEQiyBpL7mW1foiIVryFVSUoKamhpB1yPwpTHBarWipqYGDMMIqursL4Q83SuVSnZ2ZmRkBGvXroXdboder0d/fz8AeDQB+CL46QukHLE4ncCrr6rwpz+Fobp67hS+Zo0LV17pwHe+44AvHfBCyuZTFIXIyEhERkZ6yM709fVhdnYWX375JRuJEumZ+Tb+6Wmgp8d9jcXFgWdJXC6XX8+Gy+WCxWKRIxYx4W9XmMlkQm1tLRQKRVAbotA1lsnJSeh0OnYGxOl0HjWZLBSWilgMBgN0Oh2Sk5Oxdu3akHiGSwEajQZJSUlsMXl6ehoGgwHDw8NobW1FRESEx2YVzPcUihrLYpiZAf72NzUefzwMfX3uzTYsjMGOHU5cdZUDW7a4/NLVEtOxkrSja7VauFwurFu3jq3PENkZ0sCRkJDA2gI0N7s/Z0YGjWCC80DcIwHINRYx4U/EQlJfK1asQGFhYVAnJKEiFq4h16pVq7By5UqPYrpYxDLfZ2MYBn19fWhra+Nlwp9PhPo6KIry0Miaz/o3Pj6eJRp/3ABDVbyfD0NDFP7yF7c449SU++8kJdG49loHrr7agaSkwNvUxdTeI2sqFAqoVCoPWwDSwGEwGNDU1MTKznz0UT6AqKCiFSAw90gAcsTiD/hoN16KWPhIfXlDiIjF6XSiqakJExMTKC8vZwuRZD1AHCvV+Yr3xCxMr9ejoqICCXzqiPMIqSgce8/OcK1/e3p6PIrNS7XGSiEV1tiowJ/+FIaXXlLB4XD/WUGBCzfc4E53BZsJDYWD5EKRg3cDB5l7qq8nMzd9aGwcZzvO/E15+lu8N5vN0Gg0gipXCIXld8X/w1IRC1+pr/nW5TNiIYZcarV6XkMuLrEIDbKpkA3GYrGgpqYGCoUCVVVVvNUO+EQoIhZf15wvxz9fayxXcsZ7kxU7YnEfLoAPP1Ti4YfdAowEJ5zgxI032nH22WSQMXiImQoj8CVy4M49jYy4C/ynnBKPiAgThoaG2JQnIZmEhIQlCcBfYjGZTMtCHWI+LGtiIR7S3g8Jn6kvb/AZsYyMjKChoQFZWVkLXqeYxMJdi9R60tLSsGbNGkkMCy4GqUQsi4FrhJWfn886MnJTL9zZGTHb2gHAZmPw3nsZ+MlPItkuKIXCXT/50Y/sqKgQxlUxFBGLr2tOTgJ1de6/u3lzOCtV5HQ62bRZZ2cnLBaLx4DtfOZ0gdRYlmNHGLCMU2HkBnFPH0KkvuZbN9gXnqZptLW1YWBgAOvWrVvUkIsMrIkZsfT09KCrqwtr1qxBVlaW4Oser/B2ZCSKv2SiXKFQQKFQYGxsbMGOJT4wNQU8+6wajz6aiZER95YQFcXg8ssduP56O1auFI60Q5UK83XNZ54Jg8VCYc0aF4qK5t5BlUqF5ORkVgHDarWybc3EnI5bW4uMjAwoFeZPTU5KWNYRCzDXGz47OwudTsd76ssbwUYs3oZcvpxIxNInI2v09fXxppi8GPhQU16OL918IIq/0dHRyM7OhsvlQldXF8bGxtDd3Y3Gxkb2REx8Z4LdkPv7KTz+eBiee06NmRn396jV2nDDDcD3v28Hp9QnGEKRCqNp2iddOJsNeOwxN5nfeKN90W638PBwZGRkeMjOECWHzs5OqFQqOBwOGAwGhIeH+2TnsFzlXIAQE0swGwuRvXY6nYKmvrwRTMRC2nWTkpL8MuQSg1hIrQcAKioqll2L43JIhfkDpVKJqKgoREZGorS0lD0REyFGAEdJzviK1lYFHnwwDP/+95wY5Jo1Lnzve3ps2NCIE06oEOQzzQcpp8L+/W+3yVhGBo1vfcv30QbugC05JExNTUGn07EHBWLnkJCQgPj4+Hn3guWqbAws44gFcG+4bW1tMBqNgqW+5lvT34glWEMuoYllfHwctbW1yMzMhMlkEr39MxgcKxHLQiCfz/tE7O0vz52dWWijOnJEgQcecHu5M4z79558shM33WTHGWe4MDY2jf/Ne4qGUKTCfCne0zTw8MPuqOb66+0IRvhaqVSy0X9JSQkUCsVRLelxcXHsQYFEo3zaEj/++ON4/PHH0dPTA8DtX/Sb3/wG27ZtA+C+D3fccQeeeOIJGI1GVFZW4tFHHw1Y8WPZEsvs7CxcLhdmZ2dFnQD3N2JxOByor6/H9PQ0Nm/ejLi4OL/XFIpYGIZBV1cXurq6UFxcjIyMDPT29opeNOYDx1rEAiz8mSiKQmxsLGJjY1m7ZrJRtbe3w2q1ciRnElFdHYcHH9Tggw/mXvfzz3fg5ps9C/Jiz80AoUuFLUUs//2vEq2tSsTGMvje9xy8rAm49w+VSsW2pAPwaEnv7+/H+Pg4nnnmGaSlpbFZnWC/o6ysLNx7771YtWoVAOC5557D9u3bUVNTg+LiYtx333144IEH8Oyzz6KwsBB33XUXzjzzTLS2tgaUvViWqTCS+lKpVCgsLBRVVoTMevjycBJDrsjIyKAMuYQgFqfTibq6OszMzKCyshKxsbHsWsttkw6FtLxYa/ny2bwLyWazGRMTBvznP8Czz0agrc196lUqGezcacNPf+pZiOauJ9W0lNhr/vGP7nf1yivt+N+rERQWs0OOiIhAZmYmMjMzwTAMuru7UVNTg3feeQdtbW3Izc3FmWeeiTPPPBMXXXRRQBmFCy64wON/33333Xj88cfxxRdfYO3atXjooYdw22234eKLLwbgJp7U1FS88MILuO666/xeb1lFLC6XCy0tLRgZGcHGjRvR2dkp+iZImgaWejiJIVdubi7y8/Ml40UPuHO3NTU1CA8PR1VVlQfh8WVPLDaW4zX7An+fG4cDePXVWDz4YBJaWtzPqkZDY8cOAy68sA1RUeOYno5GR8ec7wx5pkMRsUhpQJLgq68UOHRIBbWawQ9/GHy0Arj3Ll/skCmKQl5eHu666y7Y7XaccsopuOiii/Duu+/ikUcewc6dO3m5lpdeegmzs7OoqqpCd3c3RkZGcNZZZ7F/R6PR4JRTTsGhQ4eObWKZr+urp6dHVG8UwLMbbb48NrflmS9DLj7bjUdHR1FfX882OnhvJGI7ZPKBY7XO4g9ZWizA88+r8fDDcxpesbEMrrnGjh/+0IGUFA2A9WxnksFgQHNzMxwOB9sW63Dws4n6Aymmwkht5TvfcSI9nZ8DS6DukRkZGTj77LNx9tlnB30N9fX1qKqqgtVqRXR0NF5++WWsXbsWhw4dAgCkpqZ6/P3U1FT09vYGtFbIU2G+YKGuL7HdHIG5a55v8zWbzdDpdKAoite6Dx+bPcMwaG9vR29vL9avX7/g7IwcsUgLS70jU1PAX/8ahsceU2N83P1eJCfTuP56B66+2g7vkp5arfaQlTebzdDr9ewMBkVRaG5uZhsBhG7kCEUqbLHifWurAq+95t4Wb7yRP3uMQDxg+CzeA8Dq1auh0+kwOTmJ/fv34//+7//w0UcfsX/u/awFE8FKOmLxTn15d32FiljmW3d8fBx1dXVIT09HUVER79P+wRCLw+FAbW0tzGYztmzZsmgxTqxhTJPJhKamJoSHhyMxMRFarXZZaiIJicXIcnycwmOPqfHkk2GYnna//NnZNG680Y7LL/dNw4srW5KdnY2enh7o9Xqo1Wr09vayszPk/sw3TR4spFTXoWlg924NGIbCeec55q1DBQopmHyFhYWxxfuKigp8/fXX+OMf/4hbb70VgFsJJD09nf37Y2NjR0UxvkKyb7IvA4/+SufzBe5GTwy5enp62M4qIdfzF6SBICoqClVVVUueQMUo3o+NjaGuro7teunq6kJjYyPbyZSYmOjXxLHYqRSx1pvvxNjbS+Hhh8Pw/PNqWK3uPysqcuHHP7bjm990IpgAg6IoaDQadvOx2Wxs2oxMk3NnZ/gY3gtVKmy+Tf6ZZ9T47DMVoqIY3Huvjdc1AyEWoedYGIaBzWZDbm4u0tLScPDgQZSWlgJwe0J99NFH2Lt3b0C/W5KpsOHhYTQ0NCw58BiKiIW7rt1uR21tLSwWy5KRQDAIlFjI9+hPA4GQqTDv9uakpCTQNI2CggK25VKv16O3t5dVASan5aUI8VhPhbW0uGdQXnpJBZfL/bPychd++lM7tm1z8iIK6U1kGo0G6enpSE9PZ6fJ9Xo9xsbG0N7ejvDwcA/fmUAiTql0hQ0MUPjNb9zT8L/5jQ05Ofw+T/5K5gNzki584Je//CW2bduGFStWYGZmBi+++CI+/PBDvP3226AoCrt378aePXtQUFCAgoIC7NmzB5GRkbj00ksDWk9SEQs39bVhw4Ylw7BQRizT09Oora1FXFwctm7dKmgax98ogqtF5u/gqFDFe5fLhfr6ekxOTmLz5s2IjY31KBZzWy6JCjAhmcbGRsTGxrLeGTExMR4b4LFcvG9sjMLdd4fj9dfniPW005y4+WY7Tj7ZP1MtX9ZbaPPjTpOT2ZnJyUkPEUZyj8iQ31L3hRjYhZpYGAb48Y/DMTNDYfNmF669lv8mhkBTYXzVWEZHR3H55ZdjeHgYcXFx2LBhA95++22ceeaZAIBbbrkFFosF119/PTsg+c477wR8WJYMsXBTX1VVVT6F2SqVCjYbvyHrUmAYBi6XC62trSgoKGANuYSEP5u93W6HTqeD3W73WYuMCyEiFiK/r1QqUVVVBY1Gs+gaXBVgwJ2SIQXm/v5+UBTFnpSJSdOxFLEQ2fq7716Jr76ae7EvuMA91FheLkwNzJ9irUqlYu2aAc8hv76+PlAU5ZE2m89ygdwzMYllvhm0l15S4b//VSEsjMEjj1ghhDGqv8V7IkrKVxbkqaeeWvTPKYrC7bffjttvv52X9SSRCvM19eUNsVNhTqcTjY2NsNvtyM/PR25urijr+kosU1NTqKmpQVxcHMrKygKKovgu3huNRtTU1CAlJQVr164NaBPRaDSsnAlN06wV8MDAAJqbmwEAAwMDSE9PF6TALBZoGnjjDRX+8Ic5H3mlksZ3vuOuoaxeLWxTRTD1Du+Ic2ZmBnq9HkNDQ2hpaWG1sYjkDFfBQsyIkzsBDwATExRuucWdArvlFjuvBXsuQh2xiI2QEgtxJ/Q19eUNMYnFZDJBp9NBrVYjNjZW9Gn/pTZ7MpBJCC/Ql5XPiKW/vx8tLS282hkrFArEx8cjPj4eeXl5sNvt+Pzzz2Gz2VBfXw+GYTyiGV9UZEMNh8MtePjQQ2FobXVvPhERDHbsmMB3vjOIb3wjX5Tr4GtAknjLx8XFIS8vz8OuuaWlBQ6HA3Fxcax+ViiIhRw+brlFA4NBgXXrXNi9m7/2Ym8EOscii1AGAIPBgOnpaZ9TX94Qi1hGRkZQX1+P7OxsFBQUoLq6WtRIaTFioWkaLS0tGB4eRmlpKZuaCGatYImFe01lZWVsukoIhIWFQaFQIC8vDzExMR4n5dbWVvaknJiYiLi4uKCjGT5TbmYz8Le/qfGnP4Whv999XXFxc0ONMzNDsNvFG1oUavLe266ZWP5OTEwAAL744guf7ZqDBZdY3npLiX371FAo3CkwAZf1u3jvcDhgs9lkYgkEycnJiIuLC/hhFppYaJpGa2srBgcHPSIqvu2Jl4JCoZh3Ktpms0Gn08HpdAZMzt4INhVGajzEb0YMPwny/HDFGXNzc9kpc71ej8bGRrhcLiQkJLAFZjGjTi4mJ+eGGicm3JtNSgqNXbscuPLKuaHG6WnxPe+FTiNyZ2eSkpLw+eefY+3atWxtpqmpycOJkY/DABdEWmV6msKPf+yu+9xwgwNlZcK+zy6Xy6/o2WQyAcCys68gCHmNJZgTkpBdYVarFTqdDi6X66giOJ/2xL5gvohlcnISNTU10Gq1WLdund9h9mJrBXoqn5mZQXV1NWJjY5es8fB9Mp7vmr2nzEm77OjoKCs1T0iG5P2FxNgYhUcfVeOpp+aGGnNyaNx0kx2XXXb0UKPY2l1ir0eK6IREAHjYNZPDQHx8vMdhIJhrJGv+9rcaDA0pkJdH4xe/EL4ByN/ivdlsBgC5xhIKCBWx6PV61NbWIikpCcXFxUc9EKGIWLjrkdpFQUEBcnJyeN0MAq2xkHShvzMzYmG+dlmygZG8Pzea4TPS6umh8Mc/huHvf1fDZpsz1iJDjYv1WIhNLGJ3aHmv523XbDKZYDAYMD4+jvb2dmg0Go+0mb8NKjRN47PPMvH00+681yOPWCGGSaO/NZbZ2VlEREQIftgRCsuaWFQqFa/EQiSrOzs7UVRUhKysrHlf7FBFLDRNo6mpCWNjY4LVLvydY+EqDwTSgMEHAtl8uZ4YXL95soFxpWYSEhICesGbm91Djfv2zQ01btrkwk9+YsM557iWHGoUu4U6FBHLYutxDwM5OTlwuVyYnJyEXq9n1RpiY2NZkomNjV3y+pualHjwwfUAgJtusuPEE8V5j/2tsZhMJkRFRS3bGa2Qp8KCAZ8RCzHkmpmZWdKQS+w2Z1Jj+fLLL8EwDKqqqgSrD/gTsTidTtbETEjlAV8QzCbs7TdPhv/0ej3a2tpgt9sRFxeHxMREn9b56is3obz5pudQ409/6t7I/Hnsj+VUmL8RklKpZIdkAXjYNff/z/qSG3V6z84YjcA11yTCZlPhtNOc+O1vxZuBCyRiWa5pMEACEUsw7a1KpdJn063FMD09jZqaGkRHRx/lTzIfFAoF7HbhWhO9YbFYYDQakZGRgbVr1woaHvtavDebzaiuroZGo/HpOxMSfG+G3OE/hmFgsVjYAU2GYVBTU4OkpCQkJiayUiYMA7z/vhIPPBCGTz5R/e+6GFx4oRM//rE9oOKw1CIIIdYL5r31tmsm803Dw8NobW31sGuOjU3A1VdHo7dXhbQ0C55+evEUJN8IlFjkiCUE4HqjBPqAkiG7vLw85OXl+XQjxaqxMAyD3t5e9PT0ICIiAuvWrRNlyn8potfr9dDpdMjIyMDq1asD/u75/CxCpY0oikJkZCQiIyOxYsUKfPDBB8jLy8Ps7Cw6OzsxO2tBXV0+/vWvPDQ1uaNIlYrBd7/rxO7ddhQWBv6chKLmsVyJjKIodnaGdARyo86nnsrFwYPx0Ghc+O1va6HVrgUg7meVI5ZlAi6x+OsbwTXk8nf+Q4waCxke1ev1yM/Px/j4uCgv/WIRJMMw6OvrQ1tbG9asWYOsrCzBr0dqoCgK8fHxSErKwFdfrcEf/qBGR4f7NQoLc+Gcc/px1VWTKC6O+Z8kTXB+JsdyKkxIAUq1Ws3aNb/6qhIvveSu0N98czPS00fx2WdGj7SZ0BG3vxGL0MrGQiPkxBJMKoxYffrbchysIZfQEYvZbPbQ1pqamsLo6Khg63GxUPGe2zhQUVHB6ngFA76iDDHNyWZm1Hj44Ug8/XQURkbcm2J8vHuo8brrbFCpKBgM7iYQbnF5PvHMpXCsF+/FiMhaWhT44Q/d7/euXXZcfrkSExNa5OTksLWZpqYmREdHe0jO8H1d/mZVzGazHLGEEv4W0okXSEZGRsCGXEJGLBMTE6itrfUwDJuZmRGtvXm+Tdpms6GmpgY0TWPr1q3zCgqGEmJshu3tFB57LAzPP38m7Hb3yTMtjcauXXZ8//sOxMYC7tSKe3NatWoVW1zW6/Xo6+tjZzZ8PSUfixs9F0LXdKamgEsuiYDJROGkk5z43e9sGBpyp6SIyGl+fr7H7ExTUxOcTudRvjPBXCcRrpVTYcsIvhIL15o3WEMuISIWbquzd5pJDPMtAm9iIcKWCQkJvA5iLgcwDPDpp0o88kgY3npr7lVZt86BG25wYudO56IyINziMhHP1Ov17CmZuDMmJib61CorNI6lVBhNA9deG4HOTgWysmg895wVKtX8a3rPzpDW84mJCXR2dkKtVrMHgoSEBL/T7t7Cl76Ab/dIsbHsicWXWRZiyGW1Wnlpi+U7YnE6nWhoaGC9SrxbnYXySJkPFEWxn21oaAiNjY1YtWqVKPYAwYBP4rXbgf37VXjssTDU1s5tBtu2ObF165e4+upViIryb6qOK56Zn5/PujPq9XoMDAwAgEc0Q6wFjuUai5AR0t697sOARsPg73+3ICnJ/XwsVUT3bj0nszMGg4FNbxLJGZLeXOozBEIsco0lSAg9y2I0GqHT6ZCQkIDS0lJeDLn4jFhmZ2dRU1ODsLAwbN26dd70iJjEQtZqbW1Ff38/SkpKkJycLMragYKvzdBgAJ55Jgx/+YuarZ9ERDC49FIHrr/ejoICBh98oAdFrQp6LW93RhLNDA4Oorm5GdHR0exGL5bLYijajYVY77XXVLjnHrcu10MPWT1avf39Lr1nZ7jeQIODg2AYxiNtNl+9luxP/tZYhBRvFRohJ5ZgsRCxkFbd9vb2gKRP7HagtpbC558r0NhIoa+PQn8/YDJRsNnS4HAkQatVIzGRQWoqg6Ii939lZQzWrWN8sool9Z6srKxFfWjEJBaapjExMQGVSoUtW7Ysm1NTMBFLezuFxx8PwwsvqGE2u5+RtDQa117rwPe/b4fQ7ze3VZZYARgMBnR1dWFsbAxjY2MeVgBC1biOhVTYJ58oceWV7u/n2mvtuOwyz8aeQOTrueB6AzEMg5mZGRgMBlZ/jqvYEB8fz2ZUFAqFX9+tnAoLMeYjFpJaMhqNfnUw2e3Af/+rwL/+pcCbbyrYTeZoUADCYDIBfX3uv/P223N/mpjI4OSTaZx/Po0LLqD/V9idA8Mw6OzsRHd3t0/1HrGIxWQyYWBgAAqFAlu2bPE7l+wv+Jxh8BcuF3DwoBJPPhmGd99VgmHcv2PDBhd27bIvWT8REiTnr9frERUVhcTEROj1eoyMjKCtrQ2RkZEsyfDZwbTcU2E6nQLf/W4EbDYK55/vwL33Hj1ZT9M0b881V02b6M8R35n29nZYrVbExcUhKiqKrZP6+v3y6R4ZCoScWPhOhZlMJtTU1ECj0WDr1q0+SVWbzcBf/6rEAw8oMTIS/Iul11N4+WUlXn5ZifBwBuefT+P6612oqmLgdM5Jx1RWViLWm3XmASEWIV/88fFx1NbWIjY2Fmq1WnBSCRUmJig8/7waTz+tRm/v3KZ2zjlO/OhHdpx00tKSK2JtvmTj5YpnEtMsvV6P5uZmD/HMxMTEoKR+lvOAZHs7hYsvjsDMjLsD7OmnrfNO1guZVlSpVOzsDDBn1zwyMgKn04lPP/3UQ0Bzsb1JbjcOMbjS+cTiOCcnB6tWrfLpAdq/X4Gf/ETFC6HMB6uVwr59Suzbp0RJiRMXXdSEb3yD9ksGhXwOIV58hmHQ09ODjo4OFBcXs2mY5YbFUmEM49bv+utfw/DyyyrY7e7vMD6eweWXuz1Q8vPFnRnxBQtZAXiLZ+r1eoyNjXmIZ5Joxl+fdbHbjflYb3CQwo4dkZiYUKCkxIV//tOChbKF/k7ABwNi1xweHo729nYUFRWxtZnm5mY2GiW+M9zr4rN4f8899+DAgQNoaWlBREQEtm7dir1792L16tXs32EYBnfccQeeeOIJGI1GVFZW4tFHH0VxcXFAax4zxNLc3IzBwUFs3LgRKSkpS/47oxH40Y9U2L9fvPZZnU4Fna4Ub79N4777nNi0ybfNjLx8fJ+2XC4XmzIk3Wh9fX2itjYL+XtmZ4GXXlLjr39Vo65u7j6XlblwzTV2XHyx8ygPFKlhKfVf0sGUk5PjkYppbW2F3W738DJZah5jOabC9Hrgoosi0N+vQH4+jf37LUelnrkQqxGCC1LX4VpqExM6g8HARp7x8fEwGAyIj49n1Y35wEcffYRdu3Zh06ZNcDqduO2223DWWWehqamJXeO+++7DAw88gGeffRaFhYW46667cOaZZ6K1tTWglFzIiSXYB5lhGIyMjLCpL198NHp7ge3b1WhpEfcBI/j8cwVOPlmNH/7QhTvucGGp+8YlFr5gtVpRXV0NhUKBqqoqNiwP1kEyVOCSYVubAn/9qxr//KcaU1Pu5ys8nME3v+nEVVfZUV6+PD6fvwTPTcVwLYD1ej06OzsRFhbmYQXg3SEZilRYMNGDyQR861uRaGlRIiODxquvmpGcvPh3FoyuYKCYr2HA24SO3Ku///3vePbZZ6HRaPDYY4/BZDLhjDPOCKpD7G1uARjAM888g5SUFBw5cgQnn3wyGIbBQw89hNtuuw0XX3wxAOC5555DamoqXnjhBVx33XV+rxmanZUnEG9z0sHkC6m0t1M45ZSwkJEKAcNQeOwxFSorw1BdvfjLzDexGI1GHDp0CLGxsdi8ebNHrlfMYUy+QFEULBYK//qXChdcEIGKiij8+c9hmJqikJdHY88eK1paTHjsMeuyIRWCQDd6YgG8YsUKlJSU4KSTTsLq1atBURQ6OjrwySefoKamBr29vTCZTKxK+HLpCrPZgMsui8Dhw0okJDB45RULsrOXfm7FTIURLNWJxr1Xv//979HT08Omyfbs2YOUlBT85je/4e16pqamAIB17ezu7sbIyAjOOuss9u9oNBqccsopOHToUEBrhDxiCQQMw6CrqwtdXV3s6cyXh2Viwh2pCFVPCQRdXRROOUWNBx904uqr59/0iIUzH8RC1JwLCwuRnZ191EYiru7WDCwWCxISEgLaYBgG+PprBR56qBAffpgGk8n9DCgUDM45x4mrr3bgG99Y2lBLquAzgvCex+BGM93d3VCr1WwqLSIiQpTmjUCJxeUCrrsuHB98oEJUFIN9+8woKvLt3QhFKsxfMouKioJer8dtt92G1atXY3h4GBaLhZdrYRgGN998M0488USsW7cOgNv9FcBRJn2pqano7e0NaJ2QE4u/L47D4UBdXR1MJhMqKyt9FmikaeCyy9To6pIOqRA4HBR+9CM1urud+N3v5t8Ig205JkOPQ0NDi7pPipUKGxwcRGNjI+upQ9pnExMTl2xqGBmh8OKLavz97yq0tSkBuPPEOTk0Lr3Ugcsuc/h0epU6hCR4YgWQlZUFmqYxOTmJ2tpaDA0NoaurC7Gxsez9iI6OFiSSCaTGwjDAT36iwYEDaqjV7qn6TZt8f15DVWPxZ0273Q6Hw8HWNtLT03m7lh/96Eeoq6vDp59+etSfed/jYA42IScWfzA1NQWdTofo6Ghs3boVarUaJpPJJ3mVZ59V4KOPpH10/cMfVDAaKTzyiPMocgmGWOx2O3Q6Hex2O6qqqhZNGQqdCiOabX19fdi4cSNiYmJgNpvZqfOWlhZER0cjMTERSUlJrCKwzQa89ZYK//iHGu++q2StfiMiGJx44iguv9yJCy+MEzw6ETtNKEZqiohjUhSFDRs2QKlUstPlvb29UCqVHgOafEUzgaTe7rorDE8/HQaKYvDkk1acfrp/0kpSqbEsBpPJBAC8D0jecMMN+M9//oOPP/7YQ4swLS0NgDty4ZLY2NhYwFbjy4ZYFjLk8kWEUq8HbrtteXzUp59WQqUC/vhHp8c8RaDEMjMzg+rqasTGxqKsrGxJSRshU2FOp9Mj2tRoNLDb7YiKikJ0dDRyc3Nht9uh1+uh1+tRU6NDW1s8vvgiH+++mwyjce7lrKx04f/9PwcuusiB9vYWZGZmQqFY2E56OSIUsvkKhQLh4eHIzMxEZmYmaJrG1NQUDAYD+vr60NTU5GEFEIx4pj8RC8MA99wThvvvd9cDH3jAhosv9s8uAwhtV5ivmJ2dBQCfasa+gGEY3HDDDXj55Zfx4YcfIjc31+PPc3NzkZaWhoMHD6K0tBSA+zD60UcfYe/evQGtKfnd1uVyoampCePj4/OmcLhzLAvh6aeVMBqllwJbCE88oURuLoMf/3iOMANJUY2OjqKurg4rV67EqlWrfNoAhEqFWSwWVFdXQ61Wo7Kykj0QcEUv3esrMDycjldeycGBA2r09c1tAlqtBeecM4bvfMeKTZtiWetWKYtjBgMxu7QYhpl3PYVC4SEx7y2eSVGURzTjj2GWrxELwwC//W0YHnrITSp33mnDVVc5/PuAnDVDUbz353shkvl8EeCuXbvwwgsv4NVXX0VMTAxbU4mLi0NERAQoisLu3buxZ88eFBQUoKCgAHv27EFkZCQuvfTSgNYMObEs9mBxDa8W8gFZKmJxOoE//3n5Sb3/8pdKrFtH48wz3adWfyIWrmTM+vXr2VDXFwiRCpucnER1dTVSUlKwZs0atgNJoVAgLCwMDMOgocGtKPzyy2Ho6pq7X1FRDLZtc+C733XihBNmMTnp9p8/cqQdKpUKiYmJsNvtfpu9yZgfS230XPFMmqYxMzPDkkxzc7OH8m9sbOyim6Mv0QPDALfeqsGf/+zemO+5x4pduwIjFV/X5Bv+khmZYeHrUPH4448DAE499VSPnz/zzDP43ve+BwC45ZZbYLFYcP3117MDku+8807AsjIhJxZg/vQLEWjMzMxc1Fd9Kdn8L7+kMDjI76kvKYlBVdUwsrJsmJ52wGBYgbfe4nfSjmEoXH21Gl9/bUdKiu8bvtPpRH19PaanpwOyCOA7YiHS+wUFBcjOzgZN0+zL3d6uwP79Suzfr0Jz89z9DQ9ncPbZDuzYYcPpp9tBMgIKhQrp6elsioZ4mlutVrS1tWF8fJwtOAdrzrQYxIwixFqL3HN/1lMoFPOKZ+r1etTX17PKv2R2xvtguNQmT9PAj3+swTPPuEnlwQetAUcqZD2x1QWA0LtH+rJvUBSF22+/Hbfffjsva0qCWLigaRodHR3o7e3FunXrluyIWCpi+fBD/h6i++5z4oorXAgPt+LTT2ugUqmwefNmREYqANgwPQ288IICu3fzU9wcHaXws5+p8NxzTp8iFhLhqdVqvyRjuOArYmEYhr2PJSUl/4ssaHz+OYW339bgrbdUaGubuzdhYQzOPNOFb37ThXPPdSE6GqBpCgwTBpfLxUY55DsgmxqZUk5ISGCLzl1dXQgLC0NSUlJA0iZSgpgkFux63oZZJJoZHh5Ga2srIiMjPZR/F9vknU5g165w/POfaigUDB591HqUUrG/4D47YiKQ4r2QByMxIClisdlsqK2thc1mQ1VVlU9dEaRddaHTzxdf8PMQNTbakJ/vHi78/HMdlEolcnJyPApssbHAD35A46qrbHjgASV++9vgv95//UuJa65xQaVanFj0ej10Op2HpXEg4KN473K5UFdXh+npaaxZswUffhiD11+n8M47Ko9al0rF4BvfoLFzpxPnn+9CfLzn7yGfgbyUNE3PSzJkjikzMxMrVqyAy+VihRpbWlp4FWoUE2LXWAB+ZXaI8m9ubq6HhElTUxN7GCQKztx74nAA11wTjgMH1FAqGfz1r1bs3Bl8qnO5EMtyl8wHJEIsFEXBYDCwhly+dC8RkBu2ULj5P3O+oPDVV3bk5THo6+tHa2srCgoKYDQaF/z7ajVw660unHoqjVNOCV57/Y47VLj77vmJhWEY9PX1oa2tDUVFRVixYkVQawU7L2OxWLF/fytqapLR0FCBzz5Twumc26wSEhicfbY7KjnjDBfi/GjkUigUHioEDMNgYGAA09PTyM7OZusspOCs1WpRWFjItjMToUZyck5MTERcXJzoG42vELMrjG9i8Ya3hAlRIZ+amsIXX3yBiIgIJCYmIipKi5tvzsSbb7rnVJ591ooLLuCnfhYqYgm0xrKcEXJiIV7vbW1tC06DLwYusczXXz86GtyL8q1vuVBc7ERDg7szrby8HFqtFtPT00tuwJWVDD7/3I6qquDI5ZNPFGhqikN6uud6NE2jqakJY2NjfvnOLIZAIpa+PuD99xV45x0XPvggHEbjZo8/Lyigce65bjLZsoWeV848kOvs6OhgBz7j4uLgcrlYwuHWDMLDw5GVlcWSD6kDNDY2wuVyeQxn+mKzICbEjljE2HQpikJMTAyUSiVWr16NqKgoGI1GDA4acN11UTh8WI2wMBp//OMATj9dA4aJ4OV7CMRwiw+EusYSCoScWCiKgsPhCHhjpCgKCoViwa6gYK3pTz7Zhq+++goAPDrTfJmfAYDSUgYPP+zAjTcGV3d5/fU0nHbaJPu/bTYbampqQNNuCX6+0ju+FO/7+twpxk8+UeD99yl0dpKXxv0ZIyIYbN3qwumnO3HuuTQKCni5NBYulwv19fWYnZ3Fpk2b2JfQO5ohRMO9TwqFAklJSazsvMlkwsTEBIaGhtDa2oqoqCi2NhPMjAYfCEXEIiZIu7FKpUJkZDJ+/etsHD6sQkQEjT/9qQ8FBX348stJaDQalvhJLS3Q9UIRncqpsBBh9erVPm3SC2GxTT46Gvif5lpAGB5uQVVVDNauXevxUCoUCp+v+coradx4Y+DXAADvv58Im83tkzI1NYWamhokJCRg3bp1vBamvYv3DgdQV0fhiy8U+Pxzt1Wzd5edUslg1apJnH22AuedF4GKCgfUalqQ06HVaoVO565xbdq0ad4GBW5thpAkN5ohhxCKohAZGYmcnBx2OJNEM7W1teyMBtnUQmF+JnYHWihEKKengW9+MwJffKFCTAyDl16yYuvWRACJbL2M68rItQLwpy1XJhbxIAliCRaLEUtSEhNUu7HTmY11645u2VUqlXA4fGt9VKmAW25x4r77Av+6zWYldLpwxMS4zczy8/ORm5vL60bgdAKNjUq891423n5bCZ1Ogdpat3IwF0olg5ISBpWVLqxc2YX8/AGcdNIGREdHg6Yd7AvM9yY1MzODmpoaaLXao4h+IZC/w41muP95RzMpKSlsV9P09DQmJibQ19fHzmgA7hy4RqMRfBMWM4oQW9kYcH++0VEVLr88Eg0NSsTHM9i/3+yh/aVUKpGUlISkpCQAYOtlBoMBXV1dUKvVLMlotdpFa7OhGI4kaVmZWJYhFptl2biRQW1t4L/74EEt7rzzaALxJ2IBgOLi4DeJQ4dc0GpbfDYzWwguF9DTA7S0KNDSQqG5mUJLC4WGBgpWqwZAqcffj49nsGULjS1bGFRV0aioYKBUWlFTUwOKolBSUgG1Ws1+H0KQyvj4OOrr67Fy5cqgCHW+BgBCMt7RTHR0NGJiYtiJc71ej+npaVY8k0QyS21ogULsrjCxTb66uqLwgx9oMTSkREqK26Rr48bF07BEPJN0/01OTrIk09jYiLi4ODbK9BbPDNVwJAC/iSVQjS6p4JgglsUilvJyGn/7W+CnlJoaBd56S4Ft2zwfeG6axRfwMXPY3q7Bli1bfD7NmM1uWf72doolkNZW939W6/ybSEwMg+xsPb7xjTiUlQFlZQwKChgPccfp6Wl8/XU1GzkAwnbc9PX1ob29HcXFxX6pCCyFpdqZuc+UUqlEamoqWlpasHnzZlitVnZmhmxopDbD5wzCsUosH36owC9/eRLMZiVWr3Zh3z4LcnL8O3xxyb2goID1mNfr9R7imYT8QyVACfj3XhBJl+UMSRBLsA/0YsRy9tnB7+gXXaRm51gI/I1Yvvwy+AfaYolBdLTn9PLsrJs8OjoodHa6/+vooNDVtbjigEbDoLCQQVERgzVr3P+tW8cgJ8eB99//DKeffvoCXXZu/bH8/HysXLnSY5Ke742JYRi0trZiZGQE5eXliPcedOEZ80UzpDZD0zQbzdA0jdjYWMTFxWHVqlWwWCyscCYZzuSj2Cx28V4sYvnHP1S44YZwOJ0UTjjBgRdesIKHhkbWY54rnklIpqmpCeHh4aBpGtPT06xqttAIlFjkVJgEsBixrFwJVFXR+Pzz4Db2jRvD8OWXDjal5U/EMjrKj17ZoUNxuP9+J0siXV0UhoYWfzni4hisWuUmkDkSobFyJTDffkfT87tVcs3VNmzYgJSUFI+5Eb5fUiJNY7FYUFlZKfpQo3c0Y7FY0NDQgPj4eI+0H0VRCAsLQ0ZGBrKystj0jF6vR1tbG+s7T6IZfz6H2KkwoU/zDAPs3RuGPXvcLd0nnTSAf/87ClFR/G9DXPFMwN1F2dnZyQ4ScxsztFptQCoVvoAU7v25j3K7sUSwVOvvlVe6giYWp5NCeXkYHn7YgSuvpH2OWGZmgDPO4K+b6Ne/PvqWJSS4ySMvz/1/8/Pd/61axUCrBfzZm8gLwD0tu1wuNDY2wmAwYPPmzYiJiWFTRkJ1ftXU1CAsLAybNm0KSTcWF2SYT6vVYs2aNQCwaDsz2dAKCgrYYvP4+Dja29vZQUAiNSOV4UyhSczhAHbv1uD5590b+I03mnHqqUcQEXGqYGtyodFoEBsbC6fTiXXr1mF6ehp6vR79/f1oampCTEwMe19iYmJ4uy+BNAzIEQtP4CMVtpi67SWX0Lj3XpozbxE4brxRjRtvBO69NxbFxYtf9yefUDjzTH5PQpdc4vIgjvx8N3nwBXIvSMRC5mUYhsGWLVsEL9ITM7fk5OSgpGn4gsFgQG1tLbKzsz18gICjazPzNQB4D2cSqZnm5mY4nU4PqRlvkcZjpXg/PQ1ccUUE3n9fBYWCwR/+YMNll83i0CHxakjAXPFeoVAgPj4e8fHxyM/PZz2ADAYD6urqWEdTEtEEMzTrb12HYRiZWKSCpSIWlQr47W9duOIK/japn/88EcDJAIDvfteFykoa6emAxQLU11N44AH+v9prrunHn/4UeDeYryCzLDMzMzhy5AgSEhJQXFwMQNgi/djYGBoaGpCXl4ecnJyQi/ANDw+jqakJRUVFyMzMXPDveddmFmtnTkxMRHJyMjucqdfrMTIygra2NkRFRbEkExsbC2D5F++Hhih861sRqK9XIjKSwTPPWLBtmwtmMy363MxCm3xYWBhrBcAVzxwaGmIdTQnJ+CsB5O8MC+COkAOVq5cKjhliWcqP41vfovGvf7nwxhv897G/+KISL74ofH/8xo1TAIQnFoqiMDExgba2NuTl5SE3N5dN/QhVpO/t7UVXVxfWrVsXVCs1X9fT09ODnp4eVpnZV/jTzhwZGYmoqCisXLmSFWnkSs7TNA29Xo+IiAjBagAEQsyxNDYq8M1vRmBwUIGUFBr//rcFZWU0u54UNbsWEs/kSgAtFmV6IxBikWssPCHYB1qlUsFmsy36d5xOB667rg6ffroRU1PCvqRCID7ehbVrg5AQ8BHESbC1tRUbNmxAamoqm+YRglRomkZLSwurwxbnjyqlACDXMzExgYqKiqBOjvO1My8WzSQnJ7MijcRSemxsDD09PYiNjfWoAQhB7nz+zrfeUuKaayIwPU2hsNCF/fs924lD4YsSCJnNJ57JjTK5NbO4uLijSMRfYpFTYRLCUqkwk8mE6upqaLWR2L/fifPOU8NmW15eBxddZIJKxb9lMBc0TaOxsRE0TWP9+vVISUkRlFQcDgfq6upgt9tRWVm55OlPaJBONKvVis2bN/N+PQu1MxMy50YzUVFRUCqVKC4uhkajYduZ+/v7QVGUx3AmH80NfBELTQO//30Y7r47DAxD4cQTnfjHPyxHtROHYtKfpumgBlmJeGZMTAxWrlzpIWja3NzsYc+g1WoRGRnpd/HearXC5XLJqTApYDFiGRkZQX19PXJyclBQUACKovD0005cfrkKNL08yEWjYXDttdOw2YQjFrvdjpqaGtafOyIiQtAivcViQU1NDcLDw7Fp0yZBJtf9AWlSUKvVqKioELwTbanhTLLBOJ1OREREIDU1lbUDJvMZPT09aGpqQlxcHEs0gVra8kEsMzPAD34Qjtdec39311xjxz332DBfFi8UqTB/veeXgkqlQkpKCitoOjs7C4PBwHYAhoeHQ61Wg6IonyMXs9kMAHLEwgeEGJBkGAZtbW3o7+9nUzoEO3fSUCrd5OJwSJ9cbr7ZhYwMBp2dwhALSbvExcVh3bp1+PTTT2EwGATL7U9OTkKn0yEtLQ2FhYUh7/wi7cQJCQk+a5DxDW40Yzab0dDQgISEBERFRR3lnMkdziQKAHq9Ht3d3ax2FhnO9JWwg01NdXRQuPTSCLS0KBEWxuCBB2y44oqFtfSWSyrMVxAJoOjoaLYDcHJyEt3d3ZidncUnn3yC+Ph4tglgIXUGk8kEiqKWjRndQpAEsQQLb2Kx2+2ora2F1WpdUAJlxw4ar7ziwOWXq2EwSI9cLr7YhdpaChERwC9+4cLUVHAGXAthfHwctbW1yMnJQX5+PhiGQVZWFoaGhtDZ2QmtVoukpCQkJyfz8rCPjIygqakJq1atQnZ2Ng+fIDiQduIVK1YgPz8/5J1oJG2blJTEtlt7tzNzvWbUajXS09ORmZnpMZzZ0dHBKgFzpWYWQjARyzvvKHHVVRGYmqKQnk7j+ect2Lx58Wc1VKkwsUQoVSoVkpKSYDQaERsbixUrVhylzkBIhnsAIPUVvr6bjz/+GPfffz+OHDmC4eFhvPzyy9ixYwf75wzD4I477sATTzwBo9GIyspKPProo2wXaKCQDLEEY4nL7Qqbnp5GTU0NYmJiUFVVteiJ7fTT3UZcl12mxuHD0hhUA4Abb3Ri714XLBb31H5YWPDOjt4gnVjt7e1Yt24d0tLS2M2LCD2azWaMj49jfHwcbW1tiIyMRHJyMpKTkxEXF+fXw08M3Xp6erB+/XokJyfz9lkCha/txGLBaDRCp9MdNTOzmNTMfMOZpIuNDGcSogkPD/cYzuRusoEQC8MADz4YhjvucNdTKitdeP55C9LSln6PQ9UVFoo13X4zR4tn6vV6dHZ2wmKxIC4uDocOHUJCQgKvWnOzs7PYuHEjvv/972Pnzp1H/fl9992HBx54AM8++ywKCwtx11134cwzz0Rra2tQdR7JEEswIBHL0NAQGhsbkZeXd9Qw20LIyQHef9+BBx9UYs8eZUiL+goFg7vvdmH3bhcoCoiMBHJzyZ/xRyzEeXJ8fBybNm1CbGzsvEV64lWSk5PDtl2Oj49Dp9MBACtnvpRXCVnPYDBg06ZNIS9Mknbi7u5ubNy4kZVkDyXIDE9hYSGysrIW/HsL1Wbma2fWaDTIzMxkNzOj0YiJiQm0tLTA4XB4eM34G0GYTMCuXeF4+WX3fb/ySjvuu2/+esp8CFWNJRRreg9YcsUzAXe9cXx8HG+//TZrKnjVVVdh27ZtOPPMM4PSyNu2bRu2bds2758xDIOHHnoIt912Gy6++GIAwHPPPYfU1FS88MILuO666wJe95ggFoVCAbvdjqamJpSUlPh9Gg4Lc3vU79xJ41e/UuKVV8T1bACAvDwGf/mLAyedNP9pjy9isdvt0Ol0cDqd2LJlCzQajU9Feu+2y6mpKYyPj6O7u5vV0EpOTkZSUpJHD77D4UBtbS2cTqcgnVb+gqZptLa2snbOZBAxlBgYGEBbW1tAMzz+DGeStCYpNOv1eoyOjqKtrQ1qtRpKpRJGo3HJIcDubnc9pbFRCbWawf3323Dllb55ExGIraYMSJfMIiIikJ2djddffx0HDhzA7373OyQmJuLOO+/EJZdcgtra2qBTU/Ohu7sbIyMjOOuss9ifaTQanHLKKTh06NCxQSyBpsJsNhuamprAMAyqqqqCGixatYrBiy86odO5sHevEv/5jwIul7APf2wsg5tvduHGG11YJAXOC7GQ/H1MTAxKS0vZbhUAfk1BUxTFSmIQufKJiQkPPazk5GRER0ejq6sL0dHRKC0tFd1kyRsulwt1dXWwWCzYvHlzyAukRNizr68PpaWlAVlzc+HPcGZERARWrFjBRqPt7e0wGo3sECA3muGeuA8edNdTJicppKbSeP55K7Zs8d/99XhJhfk7x2K325GSkoL7778f999/P/r7+5GRkSHItY2MjADAUd4vqamp6O3tDep3S4ZYAgGx6CWnTr42ipISBv/8pxODg8Azzyjx0ksKtLby+0Dm59O45hoa3/ueC75Eur540S+GiYkJNn+/atUqXuXuySa1YsUKtrd/cHAQvb29bBfT2NgYEhMTBZ8gXwg2m83D0jjUwpYMw6C5uRkTExPYtGkT7+2l/njNKBQKduaiuLj4KEmTmJgYxMYm4plncvHYY+7TT0WFC3//uwUZGYHVRUPVFSb24SYQW2Lu4XjFihVCXJYHvN9/PqLJZUssAwMDaG5uxqpVq5CVlYX33nuP9xxqZibwq1+58KtfudDSQuGttxT47DMKhw4p/O4kU6sZlJczOPVUGhdcQKOsjPFLdTjQiIVhGPT19aGtrQ3FxcVIT08XdOhRpVKx5FJUVITY2FiMj4+jt7eXNcTipszESIfMzs6iuroa8fHxKC4uDnl7s8vlQn19Pcxms2jpwcWGM2mahsViAeAeEo2KikJ0dDRyc3Nht9vR0DCNK69MRH29+wB38cUjuOMOE5KTtQACI+hQdIWFosYSiC2xWHIuxDRvZGQE6enp7M/HxsaCdrCUDLH4+pDRNI3m5maMjIygrKwMiYmJbArN5XIJdhJ1+5m48OMfu7thhoeBl15qArASs7Mx0OsBi4XGyIgBarUT2dlJyMpSISvLbai1ejXjc2FzPnA3BV9fDvJdjY6OoqKiAnFxcYKSCsMw6OzsRH9/v4fGFnfmgqTMOjs7odFo2FbmhIQEQV560mkllXZih8MBnU4HhmFCFjlxoxlyz8bHx7F+/XoA8EiP/ve/GuzalYPJSQViYxns3avHli0jGB3Vo6uryUNqxp82WTkVNj/ElHPJzc1FWloaDh48iNJStx253W7HRx99hL179wb1uyVDLL7AarVCp9OBpmls3bqVTX1RFAWFQrGkECVfoCggIwPYvHkKubnTSEuLxPT0NHsqXr9+PZRKCoD/ueeF4C+xkA3Mbrdjy5YtCA8PF3SSnni2TE1NLZjaIRLyxBCLdJk1NjbC6XSyyr9JSUm8pMxGRkbQ2NiI1atXL9ppJRasViuqq6sRGRn5v2cktDUnoglHDh4xMTFsNGOxuPDb34bjz392R1OlpU489dQscnNVoKhc5Ofnw2azse3MxAo4MTERSUlJSw5nHk/E4s+aJpOJV2IxmUzo6Ohg/3d3dzd0Oh20Wi2ys7Oxe/du7NmzBwUFBSgoKMCePXsQGRmJSy+9NKh1lw2xkJNnYmIiiouLj3opl9ILEwIkPUVkY/xpcw5kLeBoZ8f5MDs7iyNHjiA6OhqbN29mSZcU6Pm+PtJpBgCbN2/2yb9CqVSyMzFEdHFiYoI1XoqNjWWjGX8HxrhqyRs2bJDEzMx8g4+hBGkBn5ycxKZNm9jhSYVCge5uCldcEYnqavc7tmuXDb/+tRlqNQOXy50doCgKKpUKaWlpyMjIAE3TR81mxMfHs9GM92yG2DUWkvKTeo3FbDbzKsR6+PBhnHbaaez/vvnmmwEA//d//4dnn30Wt9xyCywWC66//np2QPKdd94JeiRA8sTCMAz6+/vR2tqKwsJCZGdnz7vJhIJYKIrC0NAQJicnsXHjRkHl3n0lFmK9mpWVhYKCArZQS6I6vmEymaDT6RAbGzsv4fsCrlR5Xl4ebDYbmzLr6emBWq32SJkttob3KVwK7cSTk5OoqamZ1ywsFCDdcVarFZs2bfI4CBw4oMSuXWGYnqag1TL4y1/sOPdcFwDNksOZRLKEdAp6T5pzpWbErrGQdLnUU2Fms5nXYd1TTz110W5biqJw++234/bbb+dtTUBCxDLfQ+ZyudhBvvLycmgXsUpUqVSiEovT6YTJZGKdFYXOi/pCLH19fWhtbcWaNWtYiQ+h6imAm8Tq6up4r1+QwT7yGchgX3NzM+x2O5tuSU5O9tgUpdZODMwNPhYUFIjS4bMUuDUertim1Qr8/OdqPPmk+39XVbnw7LN2ZGXNbUretRkuyXi3M4eFhSEjI4NNexLnzLa2Ntjtdlbo1GKxiHKfuGlgsUC+F3+IxWQyLXsvFkBCxOINon5LURS2bt26ZOeMmBGL2WxGdXU1ACA7O1u0YttCnWHEQ2R4eBgVFRWIj48XnFQGBgZYEhOqzx5w31cy4b969WrMzs5ifHzcw92PSMx0dHRApVJJop0YmBt8LC4uDrrLhg/Y7XZUV1cjLCwMGzduZDe8ujoKV1+tQWOje9P96U8d+PWvHVhMv5KkVAMZzjSbzWhubobFYsEXX3zh4WkSHx8vyOYvpPPpUmtKtXgvJCRJLCSdk5qa6rParFjEMjExgdraWmRmZsJutwu+HhfEMpgLcgK12WzYsmULIiIi2JOjUJ1fHR0dGBgYQGlp6aJRJN/gKsiSVtiJiQmMjIygq6sLCoUCaWlpMBqNSExMDFlxnO/BRz5gsVjY4dh169ZBoVDA5QIeekiF3/1ODYeDQnIygyeftOHMM/1va/dnODM8PJwlkxUrVrCeJk1NTYsOZwYDknoTk1gCiZKOBfdIQELEQibviTBiUVGRX6kDoYmFe21r165FZmYmmpqaBFEcXgjeEQuZz4iMjERlZeX/Ngv/J+l9hcvlQkNDA2ZmZrB58+aQvwBhYWGIjHR35OXk5CAxMZG1VLbZbOwpOSkpSbS0mNCDj4GANA4kJyejqKgIFEWhu5vCtdeG4dAhN/mef74Tf/qTHXyUCZcaznQ6nbDb7ew9SUpKYj1NiEPj8PAwWltbERUVxZJMbGxswMQQqo4wf8lMjlh4htPpRF1dHStU6K/wmpDEQpwVyWZBro27kYsBLrEYDAbU1NQgMzMThYWFR3l28A0yua5QKLB58+aQTdBzMTo6isbGRo/6RWJiIgoLC1ll5tHRUXaDIq3M/ioz+wru4OOmTZskUeMh6hRZWVnIz88HQOHZZ5W49dYwmEwUYmIY3H+/Hf/v/7n8Gtj1B9xoxuVyoaOjAyaTCfn5+Uc9t5GRkYiKisLKlSvhcDjYBoD6+nowDOPhnOnPM7gcZliIhluoRVr5gGSIZXp6GjabDVu3bg0o/OVK5/MJq9WKmpoaAEBVVZVHrUeoNRcCIRaiOlBUVMQWR4Wsp8zMzECn04XUCIsLbjvxfBL8xNqXu0FNTExgYmICNTU1UCgUHsrMfLhXSmHw0RsGgwE6nQ75+fnIycnB6Ciwa5cGb73l3uxOPNGFJ56we3jRCwlivkcOaMTEbCGvGYVCgZSUFKSlpYFhGExPT7P2zKQlnRBNTEzMos/+cpi6B+SIhXckJiZi06ZNAW+MQkQsU1NTqK6uXnB2RuyIhaIo9Pb2wmg0oqysDFqtVnBSmZiYYK2dc3NzQ94qy20nLi8v96nnn5hhca19yfR/fX09EhIS2JmaQKIMMvgYERGBDRs2hHzwEXB3o9XX17PNFf/5jxI33BCGiQkKYWEMbr/dgRtucEKsvZY7N1NRUcF+z/54zRC/edKSTqKZvr4+KJVKNvWp1WqPOiwshxkWQFxJFyEhGWIBgrMo5jt6GBwcRFNTEwoKCpCTk7Pg7IxYNRan0wmbzQan04nKykpERkYKTir9/f1oa2vD2rVrPbSEQgVvja1ASICYYSUkJLApMzIzwzUzIymzpU65xNZYq9VizZo1IY/mAPez29raivXr10OjScG114bhH/9wv+rr19N46ikbiovFiVIA96ZeX1+P2dnZo+ZmuPDHa8Z7OHNqaoq1ZyaadCSaIZGR1KfuSSpMjlgkBJVKBZvNFvTvoWkabW1tbNfTYiZQYkUs3PbmVatWISIiQlB5FpKyGB4eRnl5eVBGQ3yBTPdTFMVrqikyMhLZ2dnIzs72MDOrra0FAFZmZj4zMzL4KBUdMgCsgVlJSQk+/zwZN92kxvCwAgoFg5tvduK22xxBadb5CzJbZLPZUFFR4VddxB+vmbi4OCQkJGDVqlUew5nd3d1Qq9WIioqCy+UKKIoIFIEMRzIMI9dY+ESwLyUfqTCSJ7darT55u4gRsRiNRlRXVyM9PR3T09MeeWghTmBOpxP19fXskOFiPuliYXZ2lrVHCHS63xf4Y2Y2OzsrqcFH0gY+ODiInJxN+PGPtdi3z/16r1pF489/tqOqSrwORsD9LBFtv/Ly8qAOA94kA8Dn4czJyUn09fXBZrPhk08+OUpqRigEQiwA5FSYlBAssZCWzKioKFRVVflU0BU6YiFF+tWrV2PFihU4cuQIBgYGwDDMUVPnfIA0KoSFhUmmAD05OQmdTofMzEysWrVKtKhgKTMzhmFY6f9QpFm4mGtx1qO7+0RcfnkMDAYKSiWDm25y4pe/dEDsBjWHw4GamhoolUqUlZXx0iBBQL5rX6OZhIQEWK1WAMDq1auh1+sxMTGBjo4OhIeHs0oOfA9n+lvXMZlMUCqVIXdZ5QOSIpZAXSSB4IhlbGwMdXV1yM7ORkFBgc+bl1ARC0lFDQwMeBTpCwoKMDY2xk6dx8bGskXnYL1NpqenUVNTg6SkJMnUCuZrJw4VIiIikJWVBYfDgcnJSaxcuRIWiwX19fWgadojZSZmKzZN02hoaEBnpwPPPHMa3nvPvfaGDTQee8yG0lLxaikEZMJfo9GI0sywmNcMiWbsdjsUCgUrF0RM6YjUTHNzM5xOJxISEthoJtgN3t8aCyncS+HdCxaSIpZgEAixkAnprq4urFu3zu8CtRARC5nnMZlM7CQ9CfmjoqJYBWWbzYbx8XGMj4+jq6sLGo0GycnJSElJ8anozAXRs8rLy1uwUUFs9Pb2orOzc9524lCAYRi0tLRgfHwcmzZtYvPgpA12YmLCw8yMaJkJaWbmcrlQU1OLffuS8cwzhTCZKGg0DH7xCwd273YiFAEn6ZCLjo5mJ/zFxHwNAFNTUxgYGEB2dvZR0Qw5EJDCOVFyII0chGT8facAaXuxCI1jilj86QojHUaTk5OorKwMSAWX74iFyG6EhYVhy5YtHmTpXaTXaDQe3iZ6vd6j6Ew2tsXmNIi7ZGdnp2T0rEi0NjIy4nM7sdAgigOkq4nbjUZRFOLi4hAXF4f8/HwPMzNC+EKYmTkcDrzySiv+8If1qK93f0dVVS48+qgdq1eLH6UA7uf3yJEj7LyTFA4oJpMJtbW1yMnJQU5Ojkc7s/dwZkREBLKzs9nZJyI109DQAIZhPKRmfIlKAyEWKdQ0+YCkiEWsVBgRuFQqlaiqqgq4VsFnxGI0GlFTU4PU1FQUFRX5VaRXKpVISUlhZTG85zS0Wi2bMiPhPRGuJMrRUtrATSaTh0dIKOGtBrzUhiKGmZleb8Utt0xj374KOJ0KREcz+N3vHLj6avHmUrxBPIBSUlKwevVqSZAKmUPLzc3FypUr2Z8v1M7sPZyZnJzMNnLMzMxAr9ezdc+YmBi2NrPQcKbL5fJrbyGpMCl8d8FCUsQSDHwlFu4GHmwtga+IZWhoCI2NjSgsLMSKFSvYhzyQVmLvojM3vG9tbUV0dDQSExNhNBrhdDolIy/v3U4sBckY0swQHh4eUK3A28zMZDJhfHw8YDMzhgEOHHDipz+NwNiYW/xz2zYXHnzQjhUrQhOlAG5lhurqamRkZIjaYLEYCKmQ9O588Gc401v8lLQzk2eWKzVDml78berg2z0ylDhmiMUXP5b+/n60tLRg9erVyM7ODnpNErEwDBPQy8QwDNrb21kV3MTERN6HHom0SU5ODux2O4aHh9HZ2cmepnp7ewX1nPcFZE5H6HZif8D34CNFUUdNjhOZGa6ZGZkc9/4Oenoo7N6twMGD7iguO5vG73/vwHnniWtu5w2iRZadnS0JZQZgbr4oPz/f5/fcn+FMpVKJ1NRUVsmBSM309vZ6SM3YbDa/ZlKOFWVjQGLEEuzkPfekzwXXr2QpwzB/1wQQELGQeZGZmRls2bJFlEl6i8WCnp4eZGRkID8/n02ZNTY2wuVyeaRpxGo1Ju3EGRkZfnXkiXFNRLhRiGvimpnRNA2DwYCJiQm0tLR4mJnFxCThz3+Oxn33qWG1UlCpaOze7cSttzoR6kwhsQtfLCoQGyQjEWwnoT/DmbGxsYiPj2drbCSamZychMlkgtlsZp0zF2u7PlZMvgCJEUswIJu8d4sfSbE4HA5UVVXxmrfnKrb6c6IlRXqVSoXKykqo1WpBJ+mBudbdVatWsac4ckIuKirCzMwMxsfH2c6m+Ph4pKSkICkpSbBaB+lG415TqDE+Po76+npRW5y5ophcM7PXXrPigQfCMDTkTgtu3jyDxx9XoqhIlMtaFHq9HrW1tSgsLERWVlaoLwfAnOgm39fkj9cM0aXLzMzE119/Da1WC5qm0dnZCYvFctRwJvddl7vCJAgusZDTNsn9xsXF8T6kxV3TnzoLCdOTk5OxZs0aNq8LCOOhwjAMK/OxUOsu13M+Pz8fFouFbWVua2tjJeeTk5MRGxvLyzX29fWho6MD69atQwofJiA8gGhshbJDjqIojI7G4Je/1OL1193Pa0KCFbt2daGyshujowrQdDKrzByKtCERuJSKhhwwR3RFRUWCOpou5TXDjWZomkZMTAxSUlJQUFAAs9nMRjNdXV0ICwtjNemioqJgNpsFJ5bHHnsM999/P4aHh1FcXIyHHnoIJ510Eu/rSIpYgtmwSCcHOT2MjIygvr6enfsQIgogv9PXzrDh4WFWBiQ7OzuoIr0voGkazc3N0Ov1HrMXS4G0XRL9LNLKXF1dzXbLJCcnz1sLWAreOmRS6EZjGAbd3d3o7e1FSUmJqK6YXExPA3v3qvHooyo4HO7J+XPP7cGePSrk5a0ETWdjcnKSJXybzcYqM4tlZjYyMoLGxkasX79eMgeCiYkJ1NXVYc2aNaIT3UINAFNTU7BYLFCpVLDb7aAoymM40+VyscOZ+/fvx29+8xusXr0aqamp6O3tFSS1+K9//Qu7d+/GY489hhNOOAF/+ctfsG3bNjQ1NfGeMaCYQPt7BYDL5QpKofi9995DeXk5xsfH0dPTgw0bNgh+8jx48CCqqqoWPWkQHafe3l5s3LgRSUlJgtdTHA4Hamtr4XQ6UVJSwotMBE3T7MY2NjbG1gII0SzVycVtJy4tLZVEOzF38LG0tDQkAoAuF/D880rcfnsYxsfdz8IJJ8zgssuqsX17wbwioMQ7fnx8HBMTE5icnBTczIxEdBs2bFhUnFVMkNTl2rVrkZaWFurLAeDZkZaRkcEeIMlWSzIThJRomkZNTQ3uvPNOdHd3Y2BgAIWFhfjud7+LX//617xdV2VlJcrKyvD444+zP1uzZg127NiBe+65h7d1AIlFLMFCoVCgtbWV9X8XY5NYapaFDGJOTU2hsrKSVVkVklTMZjNqamoQFRWF0tJS3tIlCoUCWq0WWq0WhYWFmJ2dxdjYGNvbHxcX5yExwwWpdQGQTDux99xMKNquP/1UgZ/9LAx1de5Tb0EBjR/9qBurVrWhvLxswWd4PjMzElnW1NSAoiiWZPgwMyOpy1BGdN4gKbl169ZJYrgXmCMV744073Zm7+HMkpISREZGYteuXbjmmmvw7rvvYmxsjLfrstvtOHLkCH7+8597/Pyss87CoUOHeFuHQFLEEswmazabYbfb2al1sTauxWZZiLyFUqnEli1bRCnSG41G1NbWIj09HYWFhYJ1WVEUxfb2e0vMdHZ2Ijw83COS0el0rMyHFNqJvR0fxSa6jg4Kv/2tGq+84n4F4+IY/Pzndpx0Uh1mZ40oK/NvQFStViMtLQ1paWmLmpkF0ozR3d2Nnp4eyaQuAXczSkNDg6RSctPT02yk4p1aWqqd2eVyobGxEWvWrEFcXBx27tzJ67VNTEzA5XIdRcCpqakYGRnhdS1AYsQSKMigklqtRl5enqibxEIRCzm5JCUlYe3atYIX6QF3DaepqYkdtBQTC0nM6HQ6OJ1OREVFsRazoUawg4/BYGwMuPdeNZ56SgWnk4JCweDKK5345S9tGB6ug8ViWdQMyxfwZWbGMAw6OzsxMDCAiooKyfiEkDrPhg0bJKEjB8w1CuXm5vpUH/Guzdxxxx0wGo2CFNK58N53Ap3BWwrLmliI1lVbWxvWrFmDoaEh0RwdCeaLWEjjwKpVq5CTk8OGvUJFKURMs6+vDyUlJUhMTOR9DX9AJGYA93exYsUKKJVKdHR0oKGhAQkJCWwrs9gS4bOzs6iurhbd8dFkAv70JxUeekgNk8n9DJx9tgt33mlHUZGD9S2pqKjgfYaIa2bmdDqP0pWbz8yMWECPjY2x/vRSADk8SY1Ujhw5gpycHA/pGF/AMAzuvfdePPfcc/jss89QXFwsyDUmJSVBqVQeFZ2MjY0JkkZctsRCPLTHx8dRUVGBhIQEjI6OiupBD3hGLFy15I0bNyI5OVnweorL5WK9xDdt2iSZPvj+/n60t7d75L+JxMz4+DiGh4fR0tKCmJgYNmXmi6xJMBBj8NEbTifw3HMq3H23GqOj7vXKyly46y4HTjmFht1ux+HDbuFRPuthC0GlUh1lZjYxMeFhZpaUlISpqSnMzMygoqJCEk0WAFi7CCkcnghMJhNLKrm5uX79W4Zh8Ic//AGPP/443n//fcFIBQDCwsJQXl6OgwcP4qKLLmJ/fvDgQWzfvp339SRFLL6+6DabDTU1NWAYBlVVVeyplw8XSX9B1iSFYKPRiC1btohSpLfb7aitrQXDMNi8eTPvxl+BgMjUDA0Noays7KiOJm7B2W63sykaImtCSIZviRnSPSTWMCZNAy+/rMRdd6nR1ub+HLm5NG6/3YGLL3ZBoZgblI2JiQmJxDxXV45Y+hLHTLvdjoiICPT39yM5OZl3Eyx/QTrSNm7cKClSOXz4MFasWBEQqTz88MN46KGH8M4772Djxo0CXeUcbr75Zlx++eWoqKhAVVUVnnjiCfT19eEHP/gB72tJilh8AdEm0mq1R+lK+SudzweUSiXsdju++uorUBTFNg4IXaQXy67XH5AC5PT0tE+2xsRCNiMjw0MJuKGhwcM8K1iJmcHBQbS0tIjSPcQwwFtvKXHnnWrU17s34qQkBrfe6lYfJuU/ogZMjNWkIGUTFhYGg8GAsLAwbN68mVVjCLWZ2cDAANra2iTVkUbu34oVK5Cfn+/Xv2UYBn/+85+xd+9evP3226ioqBDoKj3xne98B3q9HnfeeSeGh4exbt06vPnmm4LMzEhqjoVhGNjt9gX/nKgAr1q1CitXrjzqZWxqaoJCoUCRiJoXX331Faanp5GSksJ6UHDlt4XYMAwGA2pra5GVlSUZNVlul1VJSUlQGw8xzyJdZrOzs2xXU3Jyss9twdzBx40bNwq6KTEM8MEHCtx5pxpff+0m+dhYBjfe6MCuXU5w7X7I4UjMlNxScLlcbKNFWVmZB5FzzczGx8dhMplEMzMjKdXS0lIkJCQIsoa/mJ2dxeHDh5GZmen3/WMYBk8//TR+9atf4Y033sCJJ54o4JWGDpIiFsCd5vIGmdbu7+9naxfzobW1FU6nU9BcJRejo6PQ6XTQarUoLy9ni/Rk+EkIkNN3UVERMjMzBVnDX5CUjlDtxFyJGaPR6JPEDCk+j46Ooqxs4XmQYMEw7lmUPXvU+Phj9+eOiGDwwx86sXu3A95ZG3IokJJwo9PpRE1NDQCgtLR0yZkXrpmZwWAQzMyMmNCVlpbOOyQaChBSCcQigGEYPP/88/jZz36G1157DaeeeqpwFxpiSI5Y7Ha7R0sqmSC3WCwoKytbtDulo6MDZrMZGzZsEPQayUm4s7MT8fHxiIuLQ15enuCdXx0dHRgYGBD89O0PpqamoNPpkJqaKorBE3cQcGJiAkqlkt3UiMQMd/CxrKxMkMFHhgHefVeB++5T49AhN6GEhTG46ionfvpTB+YbAicDfWvWrBFUz8of2O121NTUQK1WY+PGjX4fCkgKkxANMTMjopqB1v16e3vR1dWFsrIyyczOmM1mHD58GGlpaX4rcTMMgxdffBE33XQTXnnlFZxxxhkCXmnoIWliIZ4YkZGR2LBhw5J59p6eHhiNRpSWlgp2fTRNo6GhAQaDAWVlZRgYGIDD4cDq1auhUqkE6/xqaGjAzMwMSktLJdP6SfLv+fn5ITl90zQNo9HIRjMOhwMJCQkwm81QKpUoKyvjvRZA08Cbbyqxd68K1dVzhHLFFU789KfOBQ23hoaG0NzcLKmBPpvNhurqakRGRmL9+vVBRxpcM7OJiQlMT0/7bWYGeA5kBmIZLgTMZjPrkBnI4PH+/fvxwx/+EP/+979x7rnnCnSV0oFkiYX02a9YscLnG9nf34/R0VHBimHcbrTS0lKEhYVhZGQELS0tYBgGSUlJSElJ4VV11mazQafTQaFQYOPGjZKQQgHmct+hVALmgmEYGAwGtvDvcrkWlZjxFy6Xu8vrvvvUaGx0b8AREe4IZfduJ9LTF36Nent70dnZKanis9VqxZEjR9jmDyFSt1wzM71eD5VKxTZjLCRgSuaxysvLJTOQabFYcPjw4YBJ5T//+Q+uuuoqvPDCC4K09koRkiMWm82G7u5udHR0oLi42K+UwdDQEPr7+1FZWcn7dZEhqPj4eKxbt86jSA+ALTaPjY3BarUiMTGRHQIMlAxIxJaQkIC1a9eGtN2TgKTkBgcHUVJSIqncN3fwkdvKbDAYWImZlJQUvwQaHQ7gX/9S4ve/V6O93f39x8QwuO46J370IwcWm9HjTq6XlpZKKqVz5MgRJCYmitaR5h1d2u12aLValmg0Gg26urrQ398vSVJJTk4OKNX75ptv4v/+7//w3HPP4Zvf/KZAVyk9SIpYGIbBkSNHoNfrA3oRR0dH0dnZia1bt/J6XWNjY6itrUVubi5bSyFfm/dmzzAMOwQ4NjaGmZkZ1jTLn46miYkJ1NfXIzs7WzDZf39B0oDT09OSSsktNfjInTafmJgAADaSWSi6tNmAf/xDiT/8QY2eHvc9TkhgsGuXAz/4gRNLNShxVZPLy8sl812Rgb60tDRBteQWA/cdmZiYwNTUFNRqNdt4k5qaKonn3Wq14vDhw0hMTERRUZHf1/Tuu+/i0ksvxZNPPolLLrlEoKuUJiRFLIC7TqLVagMq+k1MTKCpqQknn3wyL9dCTLI6Ojqwfv16pKam+j30aLVaWZIxGo2Ijo5mT84L5Zz7+/vR1tYmKSMl0k5M0zSbBpQC/B18ZBiGlf4fHx+H1WplT87JyckwmTT4619V+POf1Rgbc9+b5GR32/A11zjhy0GaEPDMzIxgzQOBgIgkSqnNmXTvDQ0NIT4+HlNTU6yj5mLELzQIqZAI2N/v6qOPPsK3v/1tPPLII7jiiisk8V2LCckRi8PhCFjvi3hwn3baaUFfB03TaGxsxMTEBMrKyhAbG+thQRrIg+JwODAxMYGxsTFMTExAo9GwJENSSsQES0ppJovFwjZRrF+/XhLDmMBc63VxcXHAXhzk5FxdbcI//pGCDz5YAZvN/fkyM93+8t/7nu/+8i6XC7W1tbDb7YI0DwQK4lyam5vrt56VUCBjBKOjo2xUx/X8GR8fD4mZGak/xcfHs7Np/uCzzz7Dzp078Yc//AFXX331cUcqgASJxel0BizLMj09ja+++iroVj7SgulyuVBaWgqNRsO7kCRp0xwbG8P4+DiAubRaWVmZZDS/pqenUVNTI1o7sS8gkWRPT09QrddkBuXhh1V46y0lGMb92VavNuH889vwjW/okZ6e5LOkicPhQE1NDeuvwbcVdqAgXvAFBQWiq14vBBKpkFThQioN3JSZGGZmNpsNhw8fDphUvvzyS+zYsQN79uzB9ddfL4n3JRQ4pohldnYWn376Kc4+++yA1yc56NjYWKxfv16USXqLxYIjR46ww5UOh8Oj+M+32q2vIGkmMswnhZeEj8FHh8Pd4fXwwyrU1MxFX+ee68QNNzhx0kk0aHpOYmZ8fBw0TXukZ7zvCWndjYiIkFRUR+6h0F7w/oDUnyYmJlBRUeFzFOI9w0RRlMc9CZbIbTabR6ecv8/7kSNHcOGFF+K3v/0tbrrpJkm8L6HCMUUsNpsNH3zwAc4666yAOqhIi3NOTg7y8/MXLdLzhenpaeh0Oo8OHZPJxEYyJpOJlZlPTk4WTWae6DNJpZ0YQNCDj8PDwLPPqvDUUyoMD7vvZ3g4g8suc+JHP3KisHD+V2EpiRmGYVBdXc2ecqXQvQfMmWEFkyrkGwzDoLm5GQaDAeXl5QGntoiZGen8M5vNQZmZuVWmD7OCoP6SQm1tLc477zz8/Oc/x89+9rPjmlQACRJLML73TqcT7777Lk4//XS/TvkMw6C3t5edy0hPT2dnIYSapAfc3WYNDQ1s3nu+dSwWC0syk5OTiImJYUlGiHQZt51448aNktFnIgoMJD3pa+2CYYDPP1fgL39R4ZVXlHA65wry113nFob019aDa5xlNBoBADExMSgqKlpQYkZsEIn59evXS8a3hGEYNDU1wWg0oqKigtdDkvc9iYyMZKOZxczMgDnb3qioqIBUphsbG7Ft2zbcdNNN+NWvfiWJ+x9qHFPEwjAM/vvf/+LUU0/1+aElvi5jY2OsfITQcvfEoKyzs9OviMBut7OnZr1ej/DwcJZk+Mg3k4aFqakpSbUTE8dHjUbjs+zI7Czw738r8Ze/zKkMA8CWLS5ce60TO3a4EKzLwOTkJKqrq5GYmAiKoqDX66FUKtlIRqvVhiR6IcOrUpKYZxiGfbbKy8sFjby928vJ8DL5j3voDJZUWlpasG3bNlx77bW48847ZVL5H44pYgGAd955B1u3bvXpNG+326HT6eBwOFBWViZIkd4bNE2zznwlJSUBD825XC72hDY+Pg6FQsGSTCAbGjciKCkpkYS3CzA3+OjrkGhdHYVnnlHhxRdVmJ5237+ICAbf/rYL117rQEkJP4/7xMQE6urqPAri80nMcKX/xegQ6+npQXd3t6SEG8mBZWZmBuXl5aI+W1wzM5LGJGZmCQkJaGpqCljSpr29Hdu2bcP/+3//D/fee69kUqBSgOSIhaZpOByOgP/9e++9h4qKiiU3bJPJxCrykmKr0J70TqcTdXV1sNlsKCkp4a11kruhjY2NweVysWmApKSkJYuapJ04IiJCdA/4xUDk5TMzMxdVkjWZgP37lXj6aRUOH5679txcGtdc48TllzvBp5IK8VxfbM6I6GZxa2V8SszMtx6ZXCft8VIAmemZnZ1FeXl5yNuvLRYL2/JvMBigVCqRkZHBtvz7Sg7d3d0455xzsHPnTjzwwAMyqXjhmCOWDz/8EBs2bFi0BXViYgI6nQ7Z2dlYtWqVKEV6i8UCnU4HjUaDDRs2CNaKyjAMZmZmMDY2hrGxMZjNZvbUnJycfNRpkbQTp6SkBDRdLBR8GXzU6dzRyb/+pcLMjPu6VSoGF17owve/78Spp9Lg+3aSNNOGDRuQlJTk878jg7JEYiYyMpK9J8GmMYlr5/DwMMrLyyXTqk7TNOrr62E2myVBKgQOhwPV1dVQq9XIzMxk02bEzIykzBa63r6+Ppx99tk477zz8Mgjj8ikMg+OOWL55JNPUFRUtGDBsre3l51qz8jIEKVIT6TlU1JSsHr1alEfRK68DFGbTUlJQUpKCsxmM+rq6iTVTgzMKQHP1800MwPs2+eOToi6MADk59P43vecuOwyJ4RoYuPOzgSbZvKuAXi3zfoTMXJbdxebBxEbNE2jrq4OVqtVUoOiTqeTJZWNGzey76KvZmZDQ0M4++yzcdppp+GJJ56QSWUBSI5YlnKRXAqHDh1CXl7eURsSTdNoaWnByMgIuzEIXaQH3C2fjY2NyM/PR3Z2dkg3b5vNxpKMwWAAwzBITk5GXl4eYmJiQk4sCw0+MgxQXa3A00+r8NJLSszOuq9TrWawfbs7Ojn5ZP6jE+51tbW1YWRkhHfTMNI2S+6LzWbzkJhZrB5BGk8mJyeDat3lGy6XC3V1daz6QKjmsLxBSEWlUi3ZBELMzCYmJtDf34+f/OQnqKysRH19PTZt2oS//e1vkkkZSxHHHLF89dVXyMzM9HBXJDpXNpuNLR4KXaQnm2R3d7fkWj47OzvR19eHnJwczM7OYmJiAmq12kNeRuyT2HyDj1NTwL/+pcIzz6hQVzd3PQUFNL7/fScuvdT/VmF/QdM0mpubYTQaUVZWJmhEwBVnHB8fZyNMbl2GPKskzURqF1JptiCSNk6nE6WlpZIiFa4qgj+kYLFY8OKLL+Kpp55CW1sbAOCss87CBRdcgO9+97uSIXQp4ZgjliNHjiA5OZnNy8/OzrLthKQwLXSRnmxGer0eJSUlkiqkkjmC0tJSNhdP07SHvAxN0yzJiCEC6C3aODQUiUcfVeH551Uwm933R6NhcNFF7ujkhBNoiBFcuVwu1NfXw2KxoLS0VLThVALiZ0Lay4m2XGJiInp7e9luRqmkmVwul4dQqVQkbVwuF6qrqwMiFQDQ6/U477zzUFBQgH/+859obm7G66+/joMHD+Ktt96SiWUeHHPEotPpEBcXh9zcXOj1elZOvaCgwKNILxSpOBwO1NXVweFwoKSkRPTNaCGQdmJyklzohEvaM729Zcipme9NjNvmnJhYjrvvjsRLL83pdq1ZQ+PKK5347nf57exaCk6n02OTDPXJm2jLjY6OYmRkBIBb+j81NdWnzj8xro9rghfq6yEg1wUApaWlfpPK5OQkzj//fGRlZWHfvn2SIXGpQ3LEArhPaoGivr4e4eHh0Gg0aG1txZo1a5CZmSlKPcVsNnuoAEvl5bJarR46Vr5e10LeMiSaCfakRvS1wsI0+PTTCtxxhwY2m/venH22Czfe6MApp4gTnXBht9v/d11hAfnACwWuyGVeXh7bAGA2mz3qMmIfZkiaiaKogDZvoUAiKEJ2/l7X9PQ0LrzwQiQmJuLll1+WzCFxOUCSxML1vfcXjY2NmJychNVqRWlpKRISEkQhFWI2lZ6eHjIDpfkwMzODmpoaJCUloaioKKjaSSDeMguBDD7Gxyfg8cdL8dxz7ojglFNc2LPHztsgo78gkulEM0oqXT+E7Ei7OneTNJvNbF1mcnKSvS/JycmCN2WQgrhSqQwozSQUgk3LmUwm7NixA5GRkXjttdfkdJefOKaIxeFw4NChQ3A4HNi6dSvCw8MFL9IDwPDwMJqamlBYWCgZWXJgbjp8MS2yQMH1ltHr9QgLC/Mo/i+2Fnfw8bPPirBrlwZKJYN773Xghz90ih6hEBCyE9Oy1xeQiDM6OnpJsiP3hbQyE595ISRmSATlS5eVmOA2EJSVlflNKrOzs9i5cycoisIbb7whmbmg5YRjhliIjzfDMIiNjcWGDRsEL9KTaee+vj6sX7/er4E5oUFMsMRwoZzPW4aQjFar9dhwCNmRwcfy8nC0tCjwu9/ZcfPNgUv5BAvirrjUlL/YIJYKRNLGn+uaT2KGq8gQTN2IDBmGhYVJSq2BpmnU1tayjQ3+korFYsG3v/1tWK1WvP3227y2lh9PkCSx+OsiaTAYUFNTg4yMDGg0GkxOTrLS10J2fpG0W0lJiWQeQNJO3N/fH5QJVjDrT05OsiRjt9tZbxmn08lK8aelpaGzk8KGDRFQqRj09VkQoGxa0DAYDKitrZWUuyIw19FIBmuDnc6fmZlhScZkMrH1suTkZL/aqElaLjw8HBs2bJBMupCQSqDzMzabDZdccgmMRiPeeeedgHX8ZBwDxDIwMIDm5mYUFRUhKysLQ0NDaGpqYjtmhGiXtdvtqK2tBU3TkhJsXKidOFTg6mUNDg7CZrMhJiYGmZmZSE5OhkoVjq++UqC5WYGrrgpNtEKsC1avXu0x+xRqzMzMoLq6GhkZGYJEUIFKzBA14ECFG4UCd9K/vLzcb1Kx2+24/PLLMTg4iHfffVf0A9mxhmVLLGSgbnBwECUlJdBqtXC5XHC5XOzJbGxsDHa7HUlJSawbY7CdWrOzs6ipqWGLu1JJAXDbnBdrJxYb3MHHtWvXsv4y3t4y3OE/sUCkY9avX4+UlBRR114MU1NTqK6uxsqVK5Gbmyv4elyJGaKUPZ/EDHFY9KXWIybIsKjFYgmIVBwOB77//e+jo6MD77//vqRS2ssVy5JYnE4namtrYTab2Wno+Tq/yIl5dHQUY2NjsFgs0Gq1SE1NRXJyst8PIEmZZGVlSSoPz/UrEVLg0l9wBx9LS0s90i12u92j+M+3t8xS6O3tRWdnp6Q8SwDAaDRCp9Ox+m1ig6ZpTE5OsiRjs9mQmJiI+Ph4DA4Osra9UiOVQIUunU4nrrnmGtTX1+ODDz6QjFvqcockiWUxe2Kz2cy2XW7cuBEqlcrnIv3s7CzGxsYwOjrqYfmbkpKy5AmfFMOLiooklzLhq52YTxDyJwOZi73wLpcLer2ercsoFAqP4j+fn4nUoAYGBlBaWiqpPLper0dtbS0KCwuRlZUV6sth55iGh4fR19cHmqaPkv4P5eEqWEl+l8uF66+/Hl9++SU++ugjwZtcjicsK2IxGo2orq5Geno6Vq9eDQBsZONvkZ6kZMbGxjA1NYW4uDiWZLg968Sqd2BgICTF8MWg1+tRV1eHlStX8t5OHAzI4GMgERQ5MROSIZ1MfKQyiRLw+Pg4ysrKQl6D4mJsbAz19fWidPH5A6vVisOHDyMhIQH5+fnsAcBgMLASM8nJyaLryzEMw0bDFRUVfpMKTdO48cYb8fHHH+ODDz6Q1JjAsYBlQyyDg4NoamrC6tWrsWLFCrhcLt48VGw2G0syZPCPFP57enowPT0tKateYK4+ILWNyF/Hx8XA9ZYh7n9arZZNmflTR/LWI5PSwBuZg5JarYe0Omu12qPmekiUSVJmADzqMkKmY4nN8fT0dEACnDRN46c//SnefvttfPjhh5LqBDxWIEli4doTE8ny/v5+lJSUIDExUdBJepL7Hx4ehsFggEKhQFZWFjIyMvyeLhcC3NkZqUVQvjo+Bgqu8u/U1BTrLbOUIyMZmCNtqFLSexoYGEBbW5vfxmFCg8yFkRTrYveSqy8ntMQMH6Tyi1/8Aq+88go++OADrFq1irdrkzEHSRMLsfI1mUwoKytDVFSUKPIsJpMJNTU1rGQ58WUICwtj02ViFJi9QVSTDQaDJNqJuSCDj/n5+aIUnYm3DFH+jYyMZEkmNjaWvTdkOpyiKJSUlIRcTJKLvr4+dHZ2oqSkBAkJCaG+HBZmsxmHDx9GampqQPJExIrBW2ImEOkfLhiGYf1nKioqAiKV22+/HS+88AI++OADNp0ug39IllhIHz9xelOr1aLIs5C6RXZ2NvLy8th1vAvMSqWSJRkx8sukGC411WRgccdHMeB0Oj1kTMi9iY+PR1dXFyIiIiQ1HQ64PdN7enpQVlYmqQYCMpSZlpaGgoKCoN8zkgEgBwDi+5OcnIyEhASf3xuGYdhDVUVFhd/PP8Mw2LNnD/7617/i/fffR3FxcSAfR4aPkCSxGAwGfPnll0hNTUVRURGAwIv0/mBgYACtra1L1i2IVMbo6CjGx8dZJ0biX8I3yUi1nZhhGPT29qK7uxsbNmyQRNsu8ZYZHh7GyMgIKIpCamoqW/wPNbmQZpChoSHe3SiDhclkwpEjRwQbyiT3hkSaTqfTJ4kZ0nSh1+sDJpXf//73+NOf/oT3338fGzZs4OPjyFgEkiSWqakpjI2NISsry8NDRaiogNRxhoeHsXHjRr/SElwJk7GxMfZl4WsjI+3ERBhRKu3EXLve0tJSyZiZAXNT66mpqUhLS/PwluEW/8WutZBh0bGxMZSXl0uqGYSQSmZmJvLz8wVP8/oqMcMllUDslxmGwcMPP4z7778fBw8eRHl5uRAfR4YXJEksNE3DbreLUk9xOp1sL7z3EJ+/YBgG09PTLMlYrVYPkvE3v0/Scjk5OcjNzQ154wAB6bCanp4W3K7XX0xOTqKmpmbe74zMMRFvmYVazIUAqQ8YjUZJ+dMDbiI+cuQIVqxYgfz8/JBcg8ViYUnGaDQiKioKSUlJMJvNmJqawqZNmwIilccffxx33XUX/vvf/6KyslKgq/fEPffcgwMHDqClpQURERHYunUr9u7d61HTYRgGd9xxB5544gkYjUZUVlbi0UcfPWZSdJIklrq6OrbgJySpWK1W6HQ6Vvabz8IuGS4jU//cVtmUlJQlT8ukbrFmzRpkZGTwdl3Bwp/BR7FBGggKCgqWnEvw9paJiopi7w3f3X+EiEkTipTqY0TVmRCxFOBwOKDX69HZ2Qmz2Qy1Ws1Gmd5q2QuBYRg89dRT+PWvf4033ngDJ554oghX7sY555yD7373u9i0aROcTiduu+021NfXo6mpiY1S9+7di7vvvhvPPvssCgsLcdddd+Hjjz9Ga2urpNKjgUKSxHLjjTfi8ccfR2VlJbZv347t27cjMzOT15dd7BST2WxmT8vT09OIj49nNzLuRsMwDLq7u9Hb2yuZugWBzWZDTU0NK5UulVoPAIyMjKCxsTGguR5vbxnuRhZsY4bL5UJdXR1sNpvkWp2JJpnUVJ0ZhkF7eztGRkZQVlYGu91+lMTMYlbZDMPg+eefx89+9jO89tprOPXUU8X/EByMj48jJSUFH330EU4++WQwDIOMjAzs3r0bt956KwD3u5Wamoq9e/fiuuuuC+n18gFJEgvDMBgcHMSBAwewf/9+HDp0CGVlZdixYwe2b9+OnJycoEhmfHwc9fX1ghhg+QKr1cqSzOTkJDuPkZSUhN7eXuj1epSWlkrq5ELEN+Pj44MefOQbZBZk/fr1SE5ODup3LeQt4y3I6Ovv0ul0cLlcKC0tlVSrMyGVUGmSLQTS3DA8PIyKigqPNCvXKnt8fBzT09Psu6PVatlI85///Cd2796NV155BWeccUYIP40bHR0dKCgoQH19PdatW4euri7k5+ejuroapaWl7N/bvn074uPj8dxzz4XwavmBJImFC4ZhMDIygldeeQX79+/HRx99hPXr17Mk40/3CsMw6O/vR0dHB4qLiyUhOGe321n9Mu5AZmZmZsi1mAjI4GNGRgYvLah8gWEY9PT0oKenR5BZEG9vGZvNxnYxLSVi6nA4oNPp2PkZKUV3pA6Vn5+P7OzsUF8OC6LjNjg4iIqKiiWbG7izTC+88AJeffVVlJaW4t1338W///1vXHDBBSJd+cJgGAbbt2+H0WjEJ598AgA4dOgQTjjhBAwODnqkua+99lr09vbiv//9b6gulzdInli4YBgGer0er776Kvbt24f3338fq1evZtNli9nJ0jSNtrY2jI6OoqSkRFKzA6TWo1QqkZ6eDr1ej4mJCVbxNyUlxWPoT0yIPfjoK0i6ZHh4WJS2XaKUTeoyRMSUtJlz05nECCssLExSlr2AW2+vpqbGpzqU2CDioL6Qijemp6fxhz/8Afv27YPBYIBarcb555+PnTt3hpRgdu3ahTfeeAOffvopKyxKiGVoaMgjbXvNNdegv78fb7/9dqgulzcsK2Lhgpwm//Of/2D//v04ePAgVq5ciQsvvBAXXXSRh1/E1NQUOjo6YLPZUFpaKqmOHDLlT/SYyDW7XC4270+8y7kDmWKQjFT1yLgKBOXl5SHpSiNdTCSdGR0dzd6blpYWREVFScoIC3DPh+l0OsmoJ3NBSKW8vDwgRYk33ngD3/ve9/C3v/0NO3bswBdffIH//Oc/mJ2dxSOPPCLAFS+NG264Aa+88go+/vhjj8YIORW2jDA9PY3XX38d+/fvx9tvv4309HRceOGFqKysxC9+8Qtceuml+NnPfiapPDfxd/Ge8vcGGSwjA5kURbEOmf5ML/sKKQ4+ErhcLtZ/QyodVt76ckqlEpmZmUhNTQ2J9M98IJL8RUVFkuoyBMBq31VUVAREKgcPHsRll12GJ598EpdccokAV+gfGIbBDTfcgJdffhkffvghCgoKjvrzjIwM/PjHP8Ytt9wCwP0MpaSkyMV7KcNkMuGtt97Ck08+iQ8++ABr1qzBSSedhJ07d2LTpk2SSE0QRVt/24m5svJjY2NwuVweU//BfjYpDz6SVmcpFsOJaKNWq0VSUhIrL0MOAUJ4y/gKks5cs2aNpCJPAGwHZHl5eUDpzA8//BDf/va38dhjj+Hyyy+XBIlff/31bM2HO7sSFxfHZkv27t2Le+65B8888wwKCgqwZ88efPjhh3K7sdRx4MABXHHFFfj1r3+NwsJCvPzyy3jttdcQGRmJCy+8EDt27EBVVZXoRVU+24mJqiwhmWBtmGmaRmNjI6ampiQ3+Gi321FTU8POHEmpGE6m1tPT0z2aGxbzlklMTBSFGEkHpBRJhTReBEoqn3zyCb75zW/iwQcfxFVXXSUJUgGw4HU888wz+N73vgdgbkDyL3/5i8eA5Lp160S8UuFwTBKL0+nEKaecgltuuQXbt29nf261WvHee+/hwIEDePXVV6FUKnHBBRdgx44dOOmkkwR/0WmaRktLCyYmJnhvJ17MhjkpKWnJ+QmuyKXU5i2sViuqq6slWbcgA4YrVqxYNJ3Jp7eMryDmYevWrZNEByQXvb296OrqQnl5eUBR8RdffIGLLroIe/bswfXXXy8ZUpHhxjFJLID7RV7sYXM4HPjoo4+wb98+vPLKK3A4HLjggguwfft2nHrqqby/6MQCgDQQCF0b8MeGWcqDj8Q4jAyySmkDIW27gQwYkoFZrrcMSZnxoSFGSEVq5mHAnF1AoKRy5MgRXHDBBbjjjjtw4403SuqZkOHGMUss/sDpdOLTTz9lScZkMuHcc8/Fjh07cPrppwfdRUY2brVajQ0bNoheG1jMhplhGFRXVyMuLg7FxcWSjAaEMg4LBqTDio+23fm8ZQjJBNJmPjo6ioaGBkmTSqB2AbW1tTjvvPPw85//HD/72c8k9UzImINMLF5wuVz44osvsH//frz88svQ6/U4++yzsWPHDpx11ll+nyZJOzEfVr18wNuGmWEYxMfHY82aNZIyDiMdc1KTGwHm6hZCdFg5nU7W94d4yxCS8aUDcHh4GM3NzbyoEPANMpwcKKk0NDTg3HPPxe7du3HbbbfJpCJhyMSyCGiaxuHDh1mSGRwcxJlnnokdO3bgnHPOWTKM97WdOBTQ6/XQ6XRITk4GTdPQ6/WIiIhgI5mYmJiQXS/ZuFevXo3MzMyQXMNCINGAGHUL4vtDDgI0TXsU/71TloRUpGZzDMzJ7pSVlSE+Pt7vf9/c3Ixzzz0X1157Le68805JvUsyjoZMLD6CpmnU1dVh3759OHDgALq6unDGGWdg+/btOO+8846aVyDtxEVFRZLbHMm1cQcfiQsjOSmHyoaZDGVKseA8NDSElpaWkEQDXEuG8fFxtjmDFP/Hx8fR2tqKjRs3SmruCAAGBwfR2tqK0tLSgGR32tvbcc455+CKK67APffcE/KoX8bSkIklABBvDUIyzc3NOO2007B9+3ace+65eOihhzAyMoL77rtPcifHnp4edHV1LboBESFGMpCpUCiQkpKC1NRUQW2Y+/r60NHRIcnNsb+/H+3t7SgpKYFWqw315bDNGaT4DwBZWVnIycmRVJs4IeNASaWrqwvbtm3Dzp078cADD8ikskwgE0uQIJpV+/btw/79+9HS0oKwsDD88Ic/xNVXX43U1FRJhO2BDj56p2OEsGEm4oMDAwMoLS2VlI4b4Cbj7u5ulJaWBpTGERL9/f1oa2tDVlYWZmdnYTAYWG+Z5OTkkKY0CakESsa9vb0455xzcN555+GRRx6RSWUZQSYWnmAymfCd73wH7e3t+OY3v4kPP/wQX3/9NbZs2cKKZGZkZITkJedr8NHbhtnhcLAkE6gNM9eut6ysTFINBAzDoKurC/39/SgrK5OUCgEw12HFJTziLUMm//n0lvEHpN4TaPQ5ODiIs88+G6effjr+8pe/yKSyzCATC0+46qqr0N3djQMHDiA+Ph4Mw2BgYAAHDhzAgQMH8Nlnn6GiooIlmWA9ZXwFd/CxtLSUt/kcMvBHBjKtVisSExPZgUxfWqoJ4RGLYymJg3IjvECFEYUEGTBcrMOKpDRJKzOJNgPxlvEHIyMjaGpqCphURkZGcM4556CqqgpPP/20JCSYZPgHmVh4wsTEBGJjYxd0tBsZGcHLL7+M/fv34+OPP8aGDRtYT5n8/HxBSIY7PyOkDAoxYCKRjMlkWtKGmeusyCfh8QGGYdDc3Ay9Xh8y9eTFQFJz/gwYesv/+OMt4w9GR0fR2NgYcGfa2NgYzj33XJSUlOBvf/ubpIZ1ZfgOmVhEBsMwmJiYYI3L3n//fRQVFbEkU1RUxAvJmM3mkA0+LmXDTEywAKCkpERSYpI0TaOpqQlTU1MoLy+XhHoyF0QJOJjU3HwHAXKPkpOTA44cSSv2hg0bAuqa0+v1OO+881BYWIh//vOfknouZPgHmVhCCIZhYDQaPTxl8vLyWE+ZQAlhenoaNTU1SEtLQ2FhYUibB7xtmKOjo2Gz2RAVFYXS0lJJpTlomvaQ5JdSFAW4PUv6+/sDFm1cCAt5yxB5GV+eHyIhEyipGI1GXHDBBVixYgVeeuklSWnVyfAfMrFICFNTU3j99ddx4MAB1lNm+/btuOiii1BSUuITyRDfjby8PMlNrBOJFoVCAbvdznYvpaSksH7loYLL5fKoRUlpY+Na9gpd7yHeMqT4r9FolpxnGh8fR11dXcASMlNTU7jwwguRlJSEV155RXKELsN/yMQiUZhMJrz55ps4cOAA3nzzTWi1WlbufyFPmfkGH6UCIi2fmpqK1atXHzWQGUobZqfTCZ1OB4ZhUFpaKqm8PsMw6OjowNDQkOhNBC6XC3q9ni3+E2+Z5ORkaLVaKJVKllQCHWidmZnBRRddhMjISLz22muiNnB8/PHHuP/++3HkyBEMDw/j5Zdfxo4dO9g/J9L2TzzxhIe0fXFxsWjXuFwhE8sygNlsxjvvvIP9+/fj9ddfR1RUFC688EJs376d9ZR58MEHkZ+fjxNOOEFyw4WTk5PQ6XQLSsvPZ8NMHDKFtmF2OByoqamBUqlESUmJpFJzZEaKdKbxoXocKIi3DEmZORwOxMTEYGpqCmvXrg1IM212dhY7d+4ERVF48803Rf98b731Fj777DOUlZVh586dRxHL3r17cffdd+PZZ59FYWEh7rrrLnz88cfHjBmXkJCJZZmBeMrs378fr776KlQqFQoKCtDQ0ICXXnoJJ5xwQqgv0QMkNbdq1SpkZ2cv+feJDTOpywjpwGi323HkyBFERERg/fr1kiOVtrY2jI2NSa4zjbTSt7a2QqPRwGazQavVstGMLw0PFosF3/rWt2C32/HWW2+FfKOmKMqDWIh98O7du3HrrbcCcHdZpqamHjP2wUJCJpZljNnZWVx44YU4fPgwUlJS2AIo8ZQJdZ2AdAkFmpoT0oaZmIdFR0dj3bp1khrAYxiGNYSrqKiQ1HwPMHdYIK6UZrOZjWR88ZaxWq245JJLMDk5iXfeeUcSSgvexNLV1YX8/HxUV1ejtLSU/Xvbt29HfHw8nnvuuRBd6fKAdJLJMvyC1WrFxRdfjMnJSbT9//buNCiqM+sD+L8RQRFF1gZUFgGVxYVlguJERAVFlkaNFeKMQkzUiaKDxMGKVTFYCRjc4hhjRoMTy0o0DrIZJ0awwEYElW4giiIxI4oo0BAWEYGG7vt+8L03IqjQ0vQFz6+KD95u4GDRfXju85xzfv0VxsbGyMnJQWJiItatW4fHjx9j4cKFEIlEmDdvXr8fm2W72ap6SggAtLS0YGRkBCMjI0ycOBEPHz5EdXU1fv31V64Ogy3I7M2+SEtLC6RSKTfKgA8td1hsDU1dXR0vkwrbsfvpUcd6enqwtraGtbU15HI5l2Ru376N4cOHw9TUFNra2rCysoJCocCKFStQW1uLjIwMXiSV7lRVVQFAl30joVCIu3fvaiKkAYUSywClq6uLhQsXYuXKldxthNmzZ2P27NnYt28f8vLykJSUhOjoaNTV1WHBggUICQmBr6+v2u9ll5WV4c6dOyo3HuyOQCCAgYEBDAwM4ODggEePHkEmk6GsrAzFxcUwNjbm6jBetFJrbm6GVCqFmZkZJk6cyLukcuPGDdTX18PDw4N3NTTscLNJkyY9dwWqo6ODMWPGYMyYMZ1my0RFRaG0tBRWVlZoaGhATk4OL5p5vsyzvx8vm0xLnqBbYYOcUqlEfn4+N1PmwYMH8PPzg0gkgr+/f5/e22Y3mysrK+Hm5tZv982fLvZramp67hjmpqYmSKVSjB07Vm3dDlTFMAzXz42PhZn19fUoLCxUeUbOo0ePsHr1ahQVFaGtrQ0tLS0ICAjAe++9hzlz5qgh4t6hW2F9iz83lnsoNjYWXl5e0NPTe26n2fLycgQFBWHEiBEwMTHBhg0bIJfL+zdQntDS0oKnpyd27NiB0tJS5OTkwMnJCfHx8bCxscHbb7+N77//Hg0NDXiVvzHYivXq6mp4eHj062bsiBEjYGtrC09PT8ycOROmpqaoqqrChQsXcOXKFdy9excymQwSiQTW1ta8G3OsVCpRXFyMhw8f8nKl0tDQgMLCQkyYMEGlpKJQKBAVFYWSkhLk5eXh/v37SE9Ph7W1NcrKytQQ8auztbWFubk5MjIyuGtyuRxisRheXl4ajGxgGHArlk8++QSjR49GRUUFDh8+jIaGhk6PKxQKTJs2Daampti9ezd+//13hIWFYfHixfjyyy81EzQPsX8hszNlSktLuZkygYGBMDIy6vGbL1ux3tzcDDc3N968MbKz5O/fv4+HDx9CV1cXY8eO5Qoy+YBNKuz/Hd+KA9mkYm9vj3HjxvX685VKJdavX48LFy4gKytLpa+hLo8ePcJvv/0GAHB1dcWePXvg4+MDIyMjWFlZIT4+Htu3b8e3334LBwcHxMXF4fz583TcuAcGXGJhHTlyBJGRkV0Sy5kzZxAYGIh79+5xZ+t/+OEHhIeHQyaT8a71OR+wR1uTkpKQnJyMX375BW+++SZCQkIQFBQEMzOz5yYZtntyR0cH7yrWgSfNQa9evQp7e3toa2tDJpPxZgzz0y1k3N3defd/19jYiIKCgldKKh9++CHS09ORlZXFu04Q58+fh4+PT5frYWFhOHLkCFcgefDgwU4Fki4uLhqIdmAZdIll69atSEtLwy+//MJdq6+vh5GRETIzM7v9RSJ/YGeQsHsyEokEM2bMgEgkQnBwcKeZMg8fPkRJSQm0tbXV2j1ZVWz/KmdnZ5ibm3PX2U3l6urqTjNLhEJhv41hZkddt7a2ws3NjbdJxc7Orkf1R89SKpX46KOPkJqaivPnz8POzk4NURK+GnB7LC9TVVXV5YigoaEhdHR0uCOE5PkEAgHs7OwQHR2N3Nxc/O9//8PixYuRlpYGR0dHzJs3D/v27cPFixcxffp0FBYW8q4NCvCkvU1xcTEmT57cKakAgLa2NoRCIaZMmQJvb29MmjQJHR0dKCwsRHZ2NtcyX6lUqiU2ti9ZW1sbL1cqbE+38ePHq5xUtm7diqSkJJw7d46SymuIF4klJiYGAoHghR8SiaTHX6+7vzjpmGDvCQQCWFlZITIyEmKxGOXl5fjrX/+K1NRUBAYGwtDQEE1NTbh9+/Yrbfz3tYqKCm564cuaIg4ZMgSmpqZwdnaGt7c3d5ujuLgY2dnZuH79OmpqavosyTzd7NLNzY13reGbmppQUFAAW1tbWFtb9/rzGYZBbGwsvv/+e5w7dw4TJ05UQ5SE73jxZ2ZERARCQ0Nf+Jye3p81NzfH5cuXO12rr69He3u7Sk3yyBMCgQCWlpbw8vLCtm3bsHr1ari4uCA5ORmxsbFwdHSESCRCSEiIRutD2MmKqtTQaGlpwdjYGMbGxpg0aRIaGxtRXV2Nmzdvor29nSvINDY2VmmFplAoUFRUBIVCATc3N96t8tjj2NbW1irthzAMgx07duCbb75BZmYmnJyc+j5IMiAMuj0WdvO+oqKCK+I6ceIEwsLCaPP+FSmVSri6uuIvf/kLoqOjAfwxUyYtLY279TF+/Hiu3b+Tk1O/tEthGAZlZWUoLy+Hq6trn1Z0s2OYZTIZqquruTHMbEFmT1YdCoUChYWFvOygDDw5IcUex7a1te315zMMg3/+85/YtWsXMjIy4O7uroYoyUAx4BJLeXk56urqcOrUKezcuRMXLlwAANjb20NfX587biwUCrFz507U1dUhPDwcISEhdNy4DzQ1Nb3wqGVjYyN+/PFHbqbMmDFjuCQzdepUtSSZp1vL90dhJlv139MxzOz+jUAg4N1wM+CPkQZs9+neYhgGBw4cQFxcHH7++Wd4enqqIUoykAy4xBIeHt5t1WtWVhZmz54N4EnyWbt2LTIzMzF8+HAsW7YMu3bt4l2NwGDX1NTUaaaMiYlJp5kyfZFkGIZBaWkp1wW4v1uvPzuG2cDAAEKhkBvD3NHRgYKCAl625QeedC2QSCRcN4LeYhgGCQkJ2Lp1K3766SfeddcmmjHgEgsf2NjYdGlEt3nzZnz++ecaioj/Hj9+jLNnz3IzZUaOHNlppowqb7hP99Zyd3fXeMPG1tZWrgFjfX099PX10d7ejmHDhsHNzY23SWXMmDEqtbhhGAZHjx5FdHQ0fvzxR+4PO0IosajAxsYG7733HlatWsVd09fX5001N9+1trbi3LlzSEpKwqlTp6Cjo4PAwEAsWrQIM2fO7NGeBVux/ujRI15V+7Oam5tRUFAAhUKBjo4OXo1hZuOTSCSwtLRUqcUNwzA4duwYNm7ciLS0NMydO1dNkZKBiF87iAPIyJEju9RHkJ4ZNmwYAgMDERgYiPb2dmRlZeHkyZN49913oVQqERAQgEWLFsHb27vbPQuFQoGrV6+ira0NHh4evKsDkcvluHbtGkaOHIkpU6Z0mpB5584d6OrqcrfL+nsMM/Bk9SiVSmFhYaFy37STJ09i48aNSExMpKRCuqAViwpsbGzQ1tYGuVyOcePGYenSpfjHP/7Buze4gaajowMXLlxAYmIi0tLS8PjxYwQEBEAkEmHu3LkYNmwYGhsbceLECUybNg2urq68qwNhp1Lq6elh8uTJXfaR2DnyMpkMNTU1GDJkCLeSMTQ0VHuSYZOKmZkZJkyYoNL3S01NxapVq3D8+HEEBwerIUoy0FFiUcEXX3wBNzc3GBoa4sqVK/joo48gEomQkJCg6dAGDYVCgdzcXK61TENDA+bOnYuSkhLo6+vj3LlzvE0qI0aM6NFUymfHMAPgkkxfj2EGngw4Y6eNqppUTp8+jXfffRdHjx7FkiVL+jQ+MnhQYvl/MTEx2LZt2wufk5+fDw8Pjy7Xk5KS8NZbb6G2thbGxsbqCvG1pVQqkZ6ejvDwcABP9mjmzJkDkUiEBQsW8KLTbFtbG6RSKUaOHAlnZ+deJwW2HkgdY5iBP5KKqampygWsZ8+exfLly5GQkPDSgmbyeqPE8v9qa2tRW1v7wufY2Nh0u0l8//59jB07FpcuXaIz/GpQWVkJX19fTJo0Cd999x1u3LjBtfu/e/cu5s2bB5FIhIULF/ZbE8mntba2QiqVwsDAAM7Ozq/8/RmGwcOHD7mCTHYMM1uQ2dviytbWVkgkEq6jgCrxZWVl4e2338aBAwewfPlyjR8+IPxGiaUPnD59GkFBQbh7965KTfvIixUUFCAhIQH79u3r9KbKMAyKi4u5JPPrr7/Cx8cHISEhCAgI6NVMGVWxb9qGhoZwcnLq8+/HMEyngszm5uYej2F+Oj4jIyM4OjqqFN+FCxfw1ltvYe/evVi5ciUlFfJSlFh6KS8vD5cuXYKPjw8MDAyQn5+PjRs3wsPDA2lpaZoO77XFFkqyM2WuXbvWaaaMqalpn78htrS0QCqVvtKbdm89bwyzqalpl9U0u5IaPXq0ykkvLy8PixYtwueff44PPvhA40nlwIED2LlzJyorK+Hs7Iy9e/fizTff1GhMpCtKLL1UUFCAtWvX4ubNm2hra4O1tTVCQ0MRHR0NPT29Pvs+9AJSHTtT5uTJk0hJSYFUKsWMGTMQEhKC4OBgWFhYvPIbJLtnYWJiovLtpVfV0tKCmpoaVFdXo7GxEaNGjeLmymhpaUEikbxSUpFIJAgODsa2bduwYcMGjSeVEydOYPny5Thw4ABmzpyJgwcPIiEhATdu3KA7BTxDiYWH6AXUdxiGQXl5OZKTk5GcnIy8vDy88cYbEIlEEIlEGDduXK/fMPviyG5fY8cwy2Qy1NXVQSAQQE9PDy4uLiodbigqKkJAQAC2bNmCTZs28eJn9PT0hJubG77++mvumqOjI0JCQrB9+3YNRkaeRYmFh+gFpB4Mw+DBgwdISUlBUlIScnJyMG3aNC7JjB8//qVvoM3NzZBKpTA3N4eDgwMv3nCfJpfLkZ+fj6FDh0JHR0elMczFxcXw9/dHVFQUtmzZwoufUS6XQ09PD4mJiVi0aBF3/e9//zuKioogFos1GB15Fi8GfZE/sLUQfn5+na77+fkhNzdXQ1ENDgKBAGPGjEFERAQyMzNRUVGB999/H9nZ2XB3d8fMmTMRHx+P0tLSbgeXsW1QLCwseJtU2CPPHh4emDZtGry9vWFnZ4fHjx9DIpEgJycHpaWlaGho6PZnLCkpQWBgINatW8ebpAI8ObWpUCi6zFQSCoU0GZaHqKULz9ALqH8IBAIIhUKsWbMGq1evRl1dHTdTJj4+HnZ2dly7f0dHRxQUFOC7775DRESESg0b1e15xZnsGGahUAiFQsEVZBYVFUEgEMDMzAy1tbXw9PTEnTt3EBgYiJUrV3JTXfnm2ZhoMiw/UWLhKXoB9R+BQABjY2OsXLkSK1euRENDAzdTZu/evTA3N0dtbS1CQkJ6dLusv7W3t6OgoIDbU3lecSY7htnU1BRKpRL19fWorKxEeHg4mpubMWrUKLzxxhv45JNP+mU4W2+YmJhgyJAhXf64kslkNBmWh/j120PoBcQDo0ePxvLly5GSkoL09HTU1NTAwcEBKSkpmDx5MrZs2YIrV65AqVRqOlS0t7dDKpVi2LBh3fYmex52DLOLiwsyMjJgZ2cHc3NzXL16FUKhEO+88w4kEomao+85HR0duLu7IyMjo9P1jIwMeHl5aSgq8jyUWHiGXkD8UVBQgODgYHz88ceQSqWorq7G7t27UVNTg5CQEDg5OSE6OhoXL16EQqHo9/jYlYquri6mTJmi0irj/v37CA4Oxp/+9CdcuXIFt2/fhlgshr29PeRyuRqiVl1UVBQSEhLw73//GyUlJdi4cSPKy8vxt7/9TdOhkWfQqTAeYo8b/+tf/8KMGTNw6NAhfPPNN7h+/Tqsra01Hd5ro6KiAj///DPef//9Lo+1trYiIyODmymjq6uLoKAgbqaMumfas5Mphw4dqvLI56qqKsyfPx8zZ87E4cOHeTeIrDsHDhzAjh07UFlZCRcXF3zxxReYNWuWpsMiz6DEwlP0Aho45HI5N1OG7b7AzpSZNWtWn49TYJOKtrY2pk6dqlJCkMlk8Pf3h6urK44ePar2REheL5RYSLednekUmmo6OjqQnZ3NzZRpbW1FQEAAQkJC4OPj88qTLjs6OlBYWIghQ4aonFRqa2sREBCAiRMn4vjx47wbP0AGPkosBDExMTh58iTOnTvHXWNPEBHVKRQKXLx4kZsp09jYCH9/f4hEIvj6+va6BZBCoUBBQQG0tLQwbdo0lZJKfX09AgMDYWVlhcTERBpOR9SCEgtBTEwMUlNTUVRUpOlQBi2lUonLly9zSaa6uhrz58/nZsro6+u/8PMVCgUKCwsBAK6uriollcbGRgQFBcHMzAwpKSnQ1dVV6Wch5GXoVBgBANy6dQuWlpawtbVFaGgobt++remQBhUtLS3MmDEDu3btwq1btyAWizFhwgTExsbCxsYGoaGhOH78OBobG7tUxCsUCi7pq5pUmpqasHjxYhgaGiIpKYmSClErWrEQnDlzBo8fP8aECRNQXV2Nzz77DDdv3sT169dpIqaasTNlEhMTkZycjFu3bnHTMQMDAzF06FCsWrUKK1asgJ+fn0qb7M3NzViyZAm0tLTw3//+FyNGjFDDT0LIHyixkC6am5thZ2eH6OhoREVFaTqc1wbDMLh58ybX7v/atWuwsrKCtrY2/vOf/8De3r7XVf8tLS1YunQp5HI5zpw5w4sxzmTwo8RCuuXr6wt7e/tOHZZJ/2ltbcWCBQtQVlYGS0tLSCQSeHl5QSQS9XimTGtrK9555x00Njbi7NmzMDAw6KfoyeuO9lhIF21tbSgpKYGFhYWmQ3ktKRQKLF26FC0tLbh69Spyc3Nx69YtiEQiJCcnY9KkSfDz88OXX36J8vLybrsUy+VyrFixArW1tThz5gwlFdKvaMVCsGnTJgQFBcHKygoymQyfffYZxGIxrl27RpX+GnL48GEsWbIEo0eP7nSdnSmTnJyMpKQkXLx4Ea6urtxMGVtbW3R0dCAsLAxlZWXIzMykfTLS7yixEISGhiI7Oxu1tbUwNTXF9OnT8emnn8LJyUnToZEXYBgG1dXVSE1NRVJSEsRiMRwdHaFUKtHR0QGxWAwzMzNNh0leQ5RYSL/Jzs7Gzp07IZVKUVlZiZSUFISEhHCPMwyDbdu24dChQ6ivr4enpye++uorODs7ay7oAYJhGNTV1eHYsWOIj49HdnY2xo8fr+mwyGuK9lhIv2lubsbUqVOxf//+bh/fsWMH9uzZg/379yM/Px/m5ubw9fVFU1NTP0c68LAzZdavX4+KigpKKkSjaMVCNEIgEHRasTAMA0tLS0RGRmLz5s0AnhwiEAqFiI+Px5o1azQYLSGkN2jFQnihrKwMVVVV8PPz467p6urC29sbubm5GoyMENJblFgIL7CdlJ+dkkldlgkZeCixEF55tuiPYRjezZgnhLwYJRbCC+bm5gDQZXUik8m6rGIIP8XGxsLLywt6enpd6m9Y5eXlCAoKwogRI2BiYoINGzbwbgQyeXWUWAgv2NrawtzcHBkZGdw1uVwOsVgMLy8vDUZGekoul2Pp0qX44IMPun1coVAgICAAzc3NyMnJwQ8//ICkpCR8+OGH/RwpUTeaR0r6zaNHj/Dbb79x/y4rK0NRURGMjIxgZWWFyMhIxMXFwcHBAQ4ODoiLi4Oenh6WLVumwahJT7FTSI8cOdLt4+np6bhx4wbu3bsHS0tLAMDu3bsRHh6O2NhYjBo1qr9CJWpGiYX0G4lEAh8fH+7fbOfksLAwHDlyBNHR0WhpacHatWu5Asn09HTqyDtI5OXlwcXFhUsqADB//ny0tbVBKpV2+t0gAxvdCiP9Zvbs2WAYpssH+xeuQCBATEwMKisr0draCrFYDBcXl1f+vtnZ2QgKCoKlpSUEAgFSU1M7PR4eHg6BQNDpY/r06a/8fUlnVVVVXfbLDA0NoaOjQyf/BhlKLGTQe1nFPwAsWLAAlZWV3MdPP/3UjxHyV0xMTJek++yHRCLp8dfr7oQfnfwbfOhWGBn0/P394e/v/8Ln6OrqcifTyB8iIiIQGhr6wufY2Nj06GuZm5vj8uXLna7V19ejvb2dTv4NMpRYCAFw/vx5mJmZYfTo0fD29kZsbCx1BgZgYmICExOTPvlaM2bMQGxsLCorK7lZP+np6dDV1YW7u3uffA/CD5RYyGvP398fS5cuhbW1NcrKyvDxxx9jzpw5kEql0NXV1XR4A0Z5eTnq6upQXl4OhUKBoqIiAIC9vT309fXh5+cHJycnLF++HDt37kRdXR02bdqEVatW0YmwwYYh5DUCgElJSXnhcx48eMAMHTqUSUpK6p+gBomwsDAGQJePrKws7jl3795lAgICmOHDhzNGRkZMREQE09raqrmgiVrQioWQZ1hYWMDa2hq3bt3SdCgDypEjR55bw8KysrLC6dOn+ycgojF0KoyQZ/z++++4d+8etw9ACOkdWrGQQe9FFf9GRkaIiYnBkiVLYGFhgTt37mDLli0wMTHBokWLNBg1IQMXDfoig9758+e7reoOCwvD119/jZCQEBQWFqKhoQEWFhbw8fHBp59+inHjxmkgWkIGPkoshKjJ9u3bkZycjJs3b2L48OHw8vJCfHw8Jk6cyD2HYRhs27YNhw4d4trYfPXVV3B2dtZg5IS8GtpjIURNxGIx1q1bh0uXLiEjIwMdHR3w8/NDc3Mz95wdO3Zgz5492L9/P/Lz82Fubg5fX180NTVpMHJCXg2tWAjpJzU1NTAzM4NYLMasWbPAMAwsLS0RGRmJzZs3AwDa2togFAoRHx+PNWvWaDhiQlRDKxZC+kljYyMAwMjICMCTQwRVVVXw8/PjnqOrqwtvb2/k5uZqJEZC+gIlFkL6AcMwiIqKwp///GeuYzPb0ffZPllCoZC6/ZIBjY4bE9IPIiIicPXqVeTk5HR57NnOvgx1+yUDHK1YCFGz9ev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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Euler's method for training" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", - " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" - ] - } - ], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "tags": [ - "outputPrepend" - ] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ameter containing:\n", - "tensor(16.9669, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.8215, requires_grad=True)}\n", - "Epoch: 24\t Loss: tensor(307.4054, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(16.5103, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.8939, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.7227, requires_grad=True)}\n", - "Epoch: 25\t Loss: tensor(305.5780, grad_fn=)\n", - 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"tensor(8.3281, requires_grad=True)}\n", - "Epoch: 29\t Loss: tensor(298.4171, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(16.9587, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.5690, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.2296, requires_grad=True)}\n", - "Epoch: 30\t Loss: tensor(296.6586, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.0466, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.5130, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.1311, requires_grad=True)}\n", - "Epoch: 31\t Loss: tensor(294.9107, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.1339, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.4602, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(8.0326, requires_grad=True)}\n", - "Epoch: 32\t Loss: tensor(293.1724, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(17.2206, requires_grad=True), 'rho': Parameter containing:\n", - 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"tensor(3.6870, requires_grad=True)}\n", - "Epoch: 84\t Loss: tensor(54.0363, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.1101, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.2645, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.6989, requires_grad=True)}\n", - "Epoch: 85\t Loss: tensor(54.6685, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.2017, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.3316, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.6902, requires_grad=True)}\n", - "Epoch: 86\t Loss: tensor(54.5350, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.2711, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.3899, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.6623, requires_grad=True)}\n", - "Epoch: 87\t Loss: tensor(53.5211, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.3234, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.4416, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.6196, requires_grad=True)}\n", - "Epoch: 88\t Loss: tensor(52.1546, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.3693, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.4895, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5702, requires_grad=True)}\n", - "Epoch: 89\t Loss: tensor(51.5029, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.4250, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.5349, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5270, requires_grad=True)}\n", - "Epoch: 90\t Loss: tensor(52.0075, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.5022, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.5770, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5016, requires_grad=True)}\n", - "Epoch: 91\t Loss: tensor(52.6058, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.6020, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.6143, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.4983, requires_grad=True)}\n", - "Epoch: 92\t Loss: tensor(52.3063, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.7194, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.6467, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5139, requires_grad=True)}\n", - "Epoch: 93\t Loss: tensor(51.2853, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.8464, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.6755, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5399, requires_grad=True)}\n", - "Epoch: 94\t Loss: tensor(50.5587, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(21.9722, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.7019, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5641, requires_grad=True)}\n", - "Epoch: 95\t Loss: tensor(50.7093, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(22.0866, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.7263, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5755, requires_grad=True)}\n", - "Epoch: 96\t Loss: tensor(51.0912, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(22.1849, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.7484, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5699, requires_grad=True)}\n", - "Epoch: 97\t Loss: tensor(50.9580, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(22.2685, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.7683, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5488, requires_grad=True)}\n", - "Epoch: 98\t Loss: tensor(50.3099, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(22.3433, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.7867, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.5183, requires_grad=True)}\n", - "Epoch: 99\t Loss: tensor(49.7464, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(22.4191, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.8036, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.4880, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit(\n", - " result,\n", - " torch.optim.Adam,\n", - " {\"lr\": 0.1},\n", - " max_epochs=100,\n", - " # scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " # scheduler_params={\"milestones\": [10,50],\"gamma\": 0.5}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(22.4191, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(18.8036, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(3.4880, requires_grad=True)}" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The parameters are far off" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Predictions for nt = 10000" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 7.7581e-01, 1.8804e-01, 0.0000e+00],\n", - " [ 6.4404e-01, 3.3203e-01, 1.4588e-03],\n", - " ...,\n", - " [-7.8803e+00, -7.8803e+00, 1.7804e+01],\n", - " [-7.8803e+00, -7.8803e+00, 1.7804e+01],\n", - " [-7.8803e+00, -7.8803e+00, 1.7804e+01]], grad_fn=)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", - " ax = fig.gca(projection='3d')\n" - ] - }, - { - "data": { - "image/png": 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", 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", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-21T13:31:35.241094\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Lorenz63_fit.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"sigma\": 10., \"rho\": 28., \"beta\": 2.7},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"sigma\": 22.4191, \"rho\": 18.8036, \"beta\": 3.4880},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_test = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(198.8555, grad_fn=)" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result_test)" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - }, - "kernelspec": { - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb deleted file mode 100644 index 2ac0bcac..00000000 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample.ipynb +++ /dev/null @@ -1,411 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", - " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", - " ...,\n", - " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", - " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", - " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" - ] - } - ], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(1.0166, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(7.4447, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(25.9663, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(9.6339, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.1197, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(8.0665, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.9027, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(4.7454, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0019, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(8.5213, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.6596, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.3149, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0140, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(8.7199, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.8255, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.0957, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0007, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.3548, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9116, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5468, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0006, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.4170, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9516, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6025, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(8.0349e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.4587, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9846, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6392, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(3.9863e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.4761, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.0087, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6611, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(9.9995e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.5049, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.0287, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6747, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0004, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.5182, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.0124, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6850, requires_grad=True)}\n" - ] - } - ], - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,\n", - " torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=10,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [5],\"gamma\": 0.2}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(9.5182, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(28.0124, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(2.6850, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 17 - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The parameters are much closer" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.0482e-01, 2.8012e-01, 0.0000e+00],\n", - " [ 8.4536e-01, 5.3078e-01, 2.5346e-03],\n", - " ...,\n", - " [-9.5352e-01, -3.5295e+00, 2.2755e+01],\n", - " [-1.1987e+00, -3.5444e+00, 2.2178e+01],\n", - " [-1.4220e+00, -3.5789e+00, 2.1625e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 19 - } - ], - "source": [ - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" 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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Lorenz63_fitRandomSample.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb deleted file mode 100644 index 3bb42494..00000000 --- a/examples/ode/lorenz63/Lorenz63Train_fitRandomSample_RK4.ipynb +++ /dev/null @@ -1,607 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3\n", - "\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", - " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", - " ...,\n", - " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", - " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", - " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", - " ax = fig.gca(projection='3d')\n" - ] - }, - { - "data": { - "image/png": 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JYmNj2foMHx1nCyFUUXKoayz+QCaW4wjesix8Tw8HSyyLpb68Qa57ORpZLTcy9BdibLqk44ymaahUKhQWFsJgMHh0nHE1zgLpOFsIcsSyNGRiOU7AnU3h6gnxiWCIZanU13xrAeJt0oSQgzXJOtZTamKf5slmGxkZicjISLbjzGQysamz7u5uD9UA0nEW6HUejzWWQFJhUVFRAl4Vv5CJxU8EO5viDwIlFl9SX94QMxVmNBqh0+lgt9vZdAuRlA/kRT+WIxYppN4oikJMTAxiYmKQnZ3NdpwZjUaMjo6ira3No+MsISEBGo0mqDXFwHIhNLPZDIZhEBMTI+BV8QuZWPwAH7Mp/sBfYvEn9eUNksYTMhXGMAx6e3vR1taGVatWIT4+nu1U6u/vB+CWlCdE48sp+FiPWADpiVByO85yc3PhcrlYjbP+/n40NTUhMjKSrc/Ex8dDrVYv+PvkVNjimJ2dBQA5FXYsgqZpjI6OIjIyEhqNRjS7YF9PrP6mvuaDkK27TqcTDQ0NMBqN2LRpE2JiYuBwOBAdHY3MzEx2wM9gMGB8fBwdHR1Qq9UsySQkJAjqLS9VSCFiWQpKpfKojrPJyUkYDAZ0dnbCbDazGmdarfYojbPlKkIp1rqzs7NQqVR+RYGhhkwsS4CkvhwOB+rq6rBhwwbRBBp9jVgCSX3NB6EiFpPJhJqaGmg0GmzduhUajYZteOCuTQb8Vq5c6XEKJkq/0dHRHqdgbx2mYxVSi1iWglqtRnJyMhsx22w21uysubkZdrvdw1UzFMRC03TIJv4DiVgiIyOXldySTCyLwDv1RbR9xMJSxOJyudDU1BRQ6muh9fjepIeGhtDY2Og36Xmfgom3vMFgQEtLCxwOB+Li4qDRaOByuZbdYKevCEXEwvcGptFokJaWhrS0NDAM42HfPDAwAKfTCY1Gg76+PiQkJCA6Olrwexkq10pyUPVnXZPJtKzSYIBMLAtiPlkWMWXsgcWJhY/Ulzf4TIXRNI2WlhYMDQ1h48aN7LxEoOB6y5PNyWAwYGRkBBaLBZ988gkbzZD6jFBYbhGElNajKIrtOCMp0MbGRvbgwHfH2UIIFbGQdf2NWJZTRxggE8tRWMwyWCwZe4KFiIWv1Jc3+EqFWSwW6HQ60DSNrVu3IjIyct61AgV3c4qIiEB7ezvWrFnDEk1bWxvCw8M9nBgXKx5LHWK3G4u5HnFcjIiIQH5+PmiaZmttpOMsLCzMQ+OMj1pDqIiFm/3wFWazmde5ITEgEwsH3pbB3g8dV/JaDJDUFDlF8p36Wmi9YDAxMYHa2lqkpKRg7dq1osnDxMXFIS4uDrm5uR5OjN3d3WhoaEBMTAzbCBAXF7ds8tXLoXgfLLg1FoVC4XEvXS4X2zlILLMjIyM9IppADg1Cjwosti7gH6GZTCY5YlmO4MqyLPbAhaLGArgfRhIF8Jn68kYwqTCGYdDV1YWuri6sWbMGWVlZPF/d4mtz4e3EaLPZ2CnyxsZGOJ1Oj7Zmf06DoWgUEDsVFor00EJrKpVK9j7l5+ezHWfehwZCMtymjsUQ6uFIf+6pnApbhvBnNiUUqTDAnfpqbW1FdnY2CgoKBHshAq0hkY45k8mEyspKxMbGLvlv+Nosffk9Go3GwyBrdnaWbQTo7u4+yrdESrbMx0PE4g+ZLdRxZjQa0draCpvN5qFxFhsbO+/vXi7DkYBcvF928NcyWOyIhWwq7e3tgqS+vBFIxDI1NQWdTofo6Ghs3bo1JLUMf66ZoihER0cjOjoaK1asAE3TbKplcHAQLS0tiIiIYE/J8fHxgtrXLgbyuY6l4v18CKauw+04A8A2dZDUGU3TiIuLY4mGdJwtl+FIYK7GspxwXBJLoLIsYkYspOsLAMrLy1lfDSHhT/GeYRgMDAygpaUFeXl5yMvL83tz4GMD48OagKRR8vLyPIb7Ojo6YLFYEBsby0Y0ciqMf/C5yUdERCAzM5PtOCPRKUmdURTFDtuSg5SY3+/xIEAJHIfEEowsi1gRC+n6ys7OhslkEi0K8LV4T5oIxsfHUVZWxs6ahAp8bvbeqRYyc2EwGDA4OAiHw4HOzk6kpKRAq9UiMjJSsI0pFCQm9VSYP5gvOiX2zaOjo7BYLDh06JBHI4DQadBApv1NJhNbL1wuOK6IJVjLYKEjlvm6vvr6+kRLv/mSCpudnYVOp4NSqcTWrVslVY8QAhEREYiIiEBGRgYYhsGnn36K6OhoTExMoLOzE2q1mo1mFrL7DRShSIWFwiZYrDW5HWfh4eEYGBhAXl7eUWnQYDvOFkMgNRYiibOccFwQy2KzKf5AqVTCbrfzfXkA5lJfKpXKo+tLzKHMpdYaHR1FfX09MjMzsXr1akm07IppTUyGZNPS0hAXF8e2whoMBlZ8MTo6miUaXzuUfFlXLIS63VjMNbkdZwDYNnXS1NHQ0OBxP+Pi4oKutwWaCptvFkzKOOaJxXs2JRgzLqEiFm7qy7vrS0xiWWiTpmka7e3t6Ovrw7p165Ceni7K9Ugd3hsTmR7ndiiRwjGxBfDn2ZNTYcJhvpSUd5s6V0aI23FGoplA5qHkGssyhxCWwXzXWHwZeBSbWLzXstlsqK2thc1mQ1VVleQecClNI88nO0M2pr6+PgDwaGv29RR6PEQsUoySuPcTgIfG2dDQEDsPRYjGl4ODTCzLGN4Fer4sg/mMWBZKfc23ppipMO4pmRhyJSQkoKysLGRtt0tBiurG82lieUuVaDQaD1sA73z+8RKxhCIVFkitw7vexu046+3tBQCP+sx8jR2BFO/ldmMJwN/ZFH/AV8SyWOrLG0IoDi8Ekgojhlzt7e0oLCxEdna2pCIDLqR6Xd5YyBaAm88nsjMkzRKqOZZQKP4utxbn+TrOTCaTh5+QSqXy0DgLDw8P2JZYLt6HCGJYBgcbsQSi9SV2KszhcECn02FychIVFRVISEgQZe1gIObJnq+1vG0BuJ4lTU1NcDqdrIKByWRCbGysKARzPKXC+NSxUygURx0ciH3z0NAQWltb2axEdHQ07Ha7zx2EciosRBDLMjiYiIWb+tq6davPsu5iEovL5UJ/fz9iY2NxwgknHJeOjaGCt2eJ2WzG2NgYJicnodPp2EFOkjoTqs1bqvUOIdYUMrVLZILI4C3pOGtvb8fU1BTbts7VOFvoepYjsYS+XzRI0DQNm80Gp9PJtoMK9WIEGrEMDQ3h888/R3JyMjZv3uyXV4hYxDI0NITx8XFER0ejoqJi2ZDKckmF+QOKohAVFYWMjAwAwIknnoj169cjMjISw8PD+Pzzz/HFF1+gtbUV4+PjR7lxBoPjpStMbBFK0nEWGRmJ3NxcnHjiicjJyYHL5UJ7ezs++eQTHDlyBF1dXTAajew7T9O0oDWWe+65BxRFYffu3ezPGIbB7bffjoyMDERERODUU09FY2OjX7932UYs3NkU8mAK/UL4G7G4XC40NzdjdHQ0YK0voYmFGHINDw8jKSlJFPc+viHF4j0fIJ9LoVAgPj6elfVxOp1s0bizsxMWi8XDFmAh4UVf1xS7prMcayyBghCaLx1n+/btQ3R0NJKTkwWZY/n666/xxBNPYMOGDR4/v++++/DAAw/g2WefRWFhIe666y6ceeaZaG1t9bnWsyyJhaZpOJ1OwVNf3vDHjyXQ1Jc3hCQWIsXPMAyqqqrQ29u77Dbp5UaC/mCh4r1KpfKQnbFarazwYn19PWiaZm0BEhIS/LYFEHvSHxD/PkpNhNK748xsNqOurg5vv/02jEYjVq9ejVNPPRXf+MY3cOGFF2LlypVBXYfJZMJll12GJ598EnfddRf7c4Zh8NBDD+G2227DxRdfDAB47rnnkJqaihdeeAHXXXedT79/WaXCSIF+amoK7733nuCpL2/4uskHk/ryBl+ujt6YmJjAoUOHEBMTg8rKSrY1Ukz1Zr6w3MjQH/jybIeHhyMjIwPFxcU48cQTUV5ejoSEBOj1ehw+fBifffYZmpqaMDw8DJvNtujvCkXEAoTGIlgMEzpv+NIVRlKhN954I/70pz+Boii88847qKqqwhtvvIGPP/446OvYtWsXzjvvPJxxxhkeP+/u7sbIyAjOOuss9mcajQannHIKDh065PPvXzYRCzf1RVEU7Ha76C8BIZaF1uUj9bXQmnyBYRh0dnaiu7v7KEMusf1m+EAoIhax1gyEMLltsNnZ2awtgMFgYB0Yo6Ki2GjGu2gsdloqVBFLqI2+fAVxj9y0aRM2b96MW2+9NehrePHFF1FdXY2vv/76qD8bGRkBADZFR5CamsrO6viCZUEs3NkUiqLYQTKxHw7yQMx32uEr9eUNPonFbrejrq4OZrN5XkMuMXW3ZCwNPg5OXFsA4sBI2prb2tpY2RnScSZ2V1iovOdDlQrzN1Li25a4v78fN910E955551FOwu9nwF/n0VJE8tCsynkA7pcLlGNpciD6H3qGBoaQmNjoyAOj3wRy9TUFGpqahAbG4uqqqp5vzcxW5v5xLFMhnxv8mq1GikpKUhJSQEwZ4xFhDSdTqeHLUBERISgREOI7HiqsfizLmk15uv7OXLkCMbGxlBeXu5xTR9//DEeeeQRtLa2AnBHLlxNwLGxsaOimMUgWWJZbDaF1Fb4bLP0BdyIBRAm9eWNYDd7hmHQ39+P1tZW5OfnIzc3d8GHdDlGLMdD8V5IeBtjffzxx4iOjsb4+Dja29sRFhbmITvDdxt6KDrCgNDUWIh+oT/rms1mXjvCTj/9dNTX13v87Pvf/z6Kiopw6623Ii8vD2lpaTh48CBKS0sBuDMdH330Efbu3evzOpIkFpqmYbfbF52g96dDiy+Qk5XL5RIs9eWNYAjU5XKhsbERExMTPhlyiUksY2NjGBgYYFMwwRhmLTcy9AdiEidZKyMjA9HR0azsDNHCamxsRHR0NEs0cXFxQW/OYqTerFagqUmB3l4FoqIYxMUx6O6OgFargkYDREQAYnzNZL/yNxXG53BkTEwM1q1b5/GzqKgoJCYmsj/fvXs39uzZg4KCAhQUFGDPnj2IjIzEpZde6vM6kiIWkvoiisSLdXyFgljIuiMjI+jq6hIk9eWNQCOW2dlZ1NTUsMTny6S2GF1hDMOgo6MDPT09yMzMhF6vZw2zyIal1Wp9TnHKEQv/a5Lv1Ft2xm63s23Nzc3NcDgcHn7y/toCkPX4fH/0egp1dQrU1ytQV6dEfb0CbW0KuFze13US+/+p1W6yiY0FcnJo/PKXNlRW8v8ekHfLH2KZnZ0VXYDylltugcViwfXXXw+j0YjKykq88847fumVSYZY/JVlUalUohOLy+UCTdPo7u7Gxo0b2Ty1kAiEWAI15BJa8NLhcKCurg6zs7PYvHkzNBoN24lGOpd6enrQ2NiI2NhYXgb++IbYumShmIJfaM2wsLCjZGdII0BPT49HowCpzyyFQCMWhgG6uynU1Sn/RyRuEhkamv85SUyksWoVA5sNmJykoNc7MTurBk1TcDgoTExQmJgAuroU+OADFa680o7f/tYGPqXySPORP59XDDmXDz/80ON/UxSF22+/HbfffnvAv1MSxBKIZbDYEQtJfQHA2rVrRSEVwL/NnmvItX79eqSlpfm1lpARy8zMDGpqahAVFYWqqioolUo4HA4AnoZZq1atgs1mYwvKZOCPbFaJiYlHbVhyKowf+DMFT2YtoqKikJWVxfrJGwwGjIyMoK2tDeHh4Ww0s5DNrz9FdIYBjhxR4D//UeHVV9Xo7p7/3+Xl0diwwYX162msX+/Chg000tMZNt3FMAw++OADbNlSBZcrAlNTFKamKExOUvjHP9T4+9/VePrpMLz+ugr33mvDzp1OXlJlgSiuhyJi4QMhJZZgLIPFJBZu19fY2JjonWi+bPZWqxW1tbVwOBwBG3IJFbEMDw+joaEBK1euxKpVq1gCW2iyXKPRID09Henp6WAYBiaTCXq9HmNjY2hvb2c3LFKbOVYRKsIMhMy4fvK5ubnz2vwS90VSnyHP9mLEQtPAl18q8eqrKrz2mgr9/XN/NyyMQXHxHIls2ECjuNiFpTI25HtVqZSIjARiYhhkZbl/dsIJLlxyiQO7d2vQ3q7ElVdG4B//cOLRR63IyAjufgRq8iUTix/wtgz2N9UhBrFwu75I6kuv14vakusLsRgMBtTW1kKr1aK8vDxg1Va+i/ckgurv7w84dUhRFGJiYhATE4OVK1d6bFgdHR2wWq0A3BPDiYmJAeX5pYxQTMHzsaa3zS83Cm1sbGTdF8PCwthIiazrdAKffabEK6+o8PrrKoyOzu0NUVEMzj7bie3bnTjzTCcCyRItteecdJILhw6Z8eCDYfj978Pw3nsq3HhjOPbts/i/GAeBEos/bb5SQUiIhVtPCVSSRWhiWajrS+wU3GLEwjAMenp60NHRgdWrV2PFihVBbQp8D2PW1tbCarViy5YtvOWJvTesqakpHDlyBCaTCf39/aAoyiNtptFoeFk3FBA7YhFyCt47Cp2dnWXTZmazGR9+eAidnStx6FA6PvggBnr93KYfF8dg2zY3mXzjG04E24DJreMufL3Az39ux5lnOnHaaVF4/30ljEYEVXMJpMV5OUrmAyEiFjKHEkxxUqlUCjbHstjAo9hDhAut53A40NDQgKmpKWzatIlVvg0GfEUsZBgzLi4OVVVVgvpekG634uJiAO5ajl6vx9DQEFpaWlj5Eq1Wi/j4eF5mF8SUdFmuEctiILIzERHROHQoHi+9pMSXX6ZgenruPYuNteO006axY4cT27ZpEBnJ3zNEGgZ8yZKUl9MoKnKhpUWJd95R4TvfCXzPCUQpZDnaEgMhTIUFO20rROQwX+pLjHUXw3zEQgrhERER2Lp1K29Da3wU74ntcl5eHvLy8kTZpAi4ef68vDxWvkSv16OlpYVtj01MTIRWq/VL9TdUOBaJZWSEwvPPq/Hss2r0988VRFJTaVxwgRPnnWfF2rUTmJ52p86+/NLq0SUYExMTVJegv1P355/vREuLEm+8ETyx+Huw4XuORSxIoissEPAdsfg68Ch2xOK92ZONm1sI5wvBFO+5vi6+qBDwvXnNd91c+RLSHkvy/F1dXVCpVB6zM1IzNxM7FSYksdA08NFHSjzzjBqvv66C0+leIy7OiTPPHMM118SjstIF935PAUhGerr7GSJeJURIk3QJBjpcGwix/P73Ghw8qILFgoBTcYEQi9lsXnZ+90CII5ZgoFKplpQA9xX+aH2FKmKhaRrNzc0YGRkRTD4m0FSYzWaDTqeD0+lEVVWVJDu1uO2xK1asAE3TbBNAX18fmpqaPMyySNdSqLHcIxa9nsI//qHC00+Hoatr7vvcssWJK690oLy8G1brJNavX7/g7/D2KjGZTDAYDJiYmGCHa7m2zUsdEPwlltJSGpmZNAYHFfjwQyW2bQvs/Q+0eC/F92kpLOuIJdgN3pfUlzfElpYn63355ZesIZdQD1ogqbDJyUnU1NRAq9WiuLjYr3oKHxtYoL9DoVCwGxHgJkeSNmtoaPCYnRFDjHE+hKLGwocgJMMAX3yhxFNPqfHKKyrY7e7fFxPD4LvfdeDKKx0oLnY/Z729NOx23zd5bpcgsfYlw7X9/f1oampiveQXqqv5W+ugKOCMM5x47rkwHDqkCphY/CU00uQgRywiIlhiCVTry1974mAxNTUFu92O1NRUFBUVCSqc528qrL+/Hy0tLSgoKEBOTk5I6xXBpo00Go3HVDk5FRMxRo1Gw8rKiyV+GopUWDD3cGoKePFFNZ5+Wo3m5rnntKTEhauucmDnTsdR7cHBaoVxh2sBdzciSZu1traytgDc+kwg3Vl6vfsa09ICf/cDjVjkGouICIZYgpG5VygUsNvtAa3rD4imVnd3NyiKYruehISvqTCaptHU1ITR0VGfxC2FhBBkNt+pmGxWLpeL7XjjSs4IRapie6MEsl51tQJPP63Gvn1qmM3ufx8ZyeCb33RHJ2VlC2/GfMvXc73kGYZhbQGMRiP6+vr+d22RcDqdfikHNzS4CWH9+uCIxd/harkrzE8E+8IEQiyBpL7mW1foiIVryFVSUoKamhpB1yPwpTHBarWipqYGDMMIqursL4Q83SuVSnZ2ZmRkBGvXroXdboder0d/fz8AeDQB+CL46QukHLE4ncCrr6rwpz+Fobp67hS+Zo0LV17pwHe+44AvHfBCyuZTFIXIyEhERkZ6yM709fVhdnYWX375JRuJEumZ+Tb+6Wmgp8d9jcXFgWdJXC6XX8+Gy+WCxWKRIxYx4W9XmMlkQm1tLRQKRVAbotA1lsnJSeh0OnYGxOl0HjWZLBSWilgMBgN0Oh2Sk5Oxdu3akHiGSwEajQZJSUlsMXl6ehoGgwHDw8NobW1FRESEx2YVzPcUihrLYpiZAf72NzUefzwMfX3uzTYsjMGOHU5cdZUDW7a4/NLVEtOxkrSja7VauFwurFu3jq3PENkZ0sCRkJDA2gI0N7s/Z0YGjWCC80DcIwHINRYx4U/EQlJfK1asQGFhYVAnJKEiFq4h16pVq7By5UqPYrpYxDLfZ2MYBn19fWhra+Nlwp9PhPo6KIry0Miaz/o3Pj6eJRp/3ABDVbyfD0NDFP7yF7c449SU++8kJdG49loHrr7agaSkwNvUxdTeI2sqFAqoVCoPWwDSwGEwGNDU1MTKznz0UT6AqKCiFSAw90gAcsTiD/hoN16KWPhIfXlDiIjF6XSiqakJExMTKC8vZwuRZD1AHCvV+Yr3xCxMr9ejoqICCXzqiPMIqSgce8/OcK1/e3p6PIrNS7XGSiEV1tiowJ/+FIaXXlLB4XD/WUGBCzfc4E53BZsJDYWD5EKRg3cDB5l7qq8nMzd9aGwcZzvO/E15+lu8N5vN0Gg0gipXCIXld8X/w1IRC1+pr/nW5TNiIYZcarV6XkMuLrEIDbKpkA3GYrGgpqYGCoUCVVVVvNUO+EQoIhZf15wvxz9fayxXcsZ7kxU7YnEfLoAPP1Ti4YfdAowEJ5zgxI032nH22WSQMXiImQoj8CVy4M49jYy4C/ynnBKPiAgThoaG2JQnIZmEhIQlCcBfYjGZTMtCHWI+LGtiIR7S3g8Jn6kvb/AZsYyMjKChoQFZWVkLXqeYxMJdi9R60tLSsGbNGkkMCy4GqUQsi4FrhJWfn886MnJTL9zZGTHb2gHAZmPw3nsZ+MlPItkuKIXCXT/50Y/sqKgQxlUxFBGLr2tOTgJ1de6/u3lzOCtV5HQ62bRZZ2cnLBaLx4DtfOZ0gdRYlmNHGLCMU2HkBnFPH0KkvuZbN9gXnqZptLW1YWBgAOvWrVvUkIsMrIkZsfT09KCrqwtr1qxBVlaW4Oser/B2ZCSKv2SiXKFQQKFQYGxsbMGOJT4wNQU8+6wajz6aiZER95YQFcXg8ssduP56O1auFI60Q5UK83XNZ54Jg8VCYc0aF4qK5t5BlUqF5ORkVgHDarWybc3EnI5bW4uMjAwoFeZPTU5KWNYRCzDXGz47OwudTsd76ssbwUYs3oZcvpxIxNInI2v09fXxppi8GPhQU16OL918IIq/0dHRyM7OhsvlQldXF8bGxtDd3Y3Gxkb2REx8Z4LdkPv7KTz+eBiee06NmRn396jV2nDDDcD3v28Hp9QnGEKRCqNp2iddOJsNeOwxN5nfeKN90W638PBwZGRkeMjOECWHzs5OqFQqOBwOGAwGhIeH+2TnsFzlXIAQE0swGwuRvXY6nYKmvrwRTMRC2nWTkpL8MuQSg1hIrQcAKioqll2L43JIhfkDpVKJqKgoREZGorS0lD0REyFGAEdJzviK1lYFHnwwDP/+95wY5Jo1Lnzve3ps2NCIE06oEOQzzQcpp8L+/W+3yVhGBo1vfcv30QbugC05JExNTUGn07EHBWLnkJCQgPj4+Hn3guWqbAws44gFcG+4bW1tMBqNgqW+5lvT34glWEMuoYllfHwctbW1yMzMhMlkEr39MxgcKxHLQiCfz/tE7O0vz52dWWijOnJEgQcecHu5M4z79558shM33WTHGWe4MDY2jf/Ne4qGUKTCfCne0zTw8MPuqOb66+0IRvhaqVSy0X9JSQkUCsVRLelxcXHsQYFEo3zaEj/++ON4/PHH0dPTA8DtX/Sb3/wG27ZtA+C+D3fccQeeeOIJGI1GVFZW4tFHHw1Y8WPZEsvs7CxcLhdmZ2dFnQD3N2JxOByor6/H9PQ0Nm/ejLi4OL/XFIpYGIZBV1cXurq6UFxcjIyMDPT29opeNOYDx1rEAiz8mSiKQmxsLGJjY1m7ZrJRtbe3w2q1ciRnElFdHYcHH9Tggw/mXvfzz3fg5ps9C/Jiz80AoUuFLUUs//2vEq2tSsTGMvje9xy8rAm49w+VSsW2pAPwaEnv7+/H+Pg4nnnmGaSlpbFZnWC/o6ysLNx7771YtWoVAOC5557D9u3bUVNTg+LiYtx333144IEH8Oyzz6KwsBB33XUXzjzzTLS2tgaUvViWqTCS+lKpVCgsLBRVVoTMevjycBJDrsjIyKAMuYQgFqfTibq6OszMzKCyshKxsbHsWsttkw6FtLxYa/ny2bwLyWazGRMTBvznP8Czz0agrc196lUqGezcacNPf+pZiOauJ9W0lNhr/vGP7nf1yivt+N+rERQWs0OOiIhAZmYmMjMzwTAMuru7UVNTg3feeQdtbW3Izc3FmWeeiTPPPBMXXXRRQBmFCy64wON/33333Xj88cfxxRdfYO3atXjooYdw22234eKLLwbgJp7U1FS88MILuO666/xeb1lFLC6XCy0tLRgZGcHGjRvR2dkp+iZImgaWejiJIVdubi7y8/Ml40UPuHO3NTU1CA8PR1VVlQfh8WVPLDaW4zX7An+fG4cDePXVWDz4YBJaWtzPqkZDY8cOAy68sA1RUeOYno5GR8ec7wx5pkMRsUhpQJLgq68UOHRIBbWawQ9/GHy0Arj3Ll/skCmKQl5eHu666y7Y7XaccsopuOiii/Duu+/ikUcewc6dO3m5lpdeegmzs7OoqqpCd3c3RkZGcNZZZ7F/R6PR4JRTTsGhQ4eObWKZr+urp6dHVG8UwLMbbb48NrflmS9DLj7bjUdHR1FfX882OnhvJGI7ZPKBY7XO4g9ZWizA88+r8fDDcxpesbEMrrnGjh/+0IGUFA2A9WxnksFgQHNzMxwOB9sW63Dws4n6Aymmwkht5TvfcSI9nZ8DS6DukRkZGTj77LNx9tlnB30N9fX1qKqqgtVqRXR0NF5++WWsXbsWhw4dAgCkpqZ6/P3U1FT09vYGtFbIU2G+YKGuL7HdHIG5a55v8zWbzdDpdKAoite6Dx+bPcMwaG9vR29vL9avX7/g7IwcsUgLS70jU1PAX/8ahsceU2N83P1eJCfTuP56B66+2g7vkp5arfaQlTebzdDr9ewMBkVRaG5uZhsBhG7kCEUqbLHifWurAq+95t4Wb7yRP3uMQDxg+CzeA8Dq1auh0+kwOTmJ/fv34//+7//w0UcfsX/u/awFE8FKOmLxTn15d32FiljmW3d8fBx1dXVIT09HUVER79P+wRCLw+FAbW0tzGYztmzZsmgxTqxhTJPJhKamJoSHhyMxMRFarXZZaiIJicXIcnycwmOPqfHkk2GYnna//NnZNG680Y7LL/dNw4srW5KdnY2enh7o9Xqo1Wr09vayszPk/sw3TR4spFTXoWlg924NGIbCeec55q1DBQopmHyFhYWxxfuKigp8/fXX+OMf/4hbb70VgFsJJD09nf37Y2NjR0UxvkKyb7IvA4/+SufzBe5GTwy5enp62M4qIdfzF6SBICoqClVVVUueQMUo3o+NjaGuro7teunq6kJjYyPbyZSYmOjXxLHYqRSx1pvvxNjbS+Hhh8Pw/PNqWK3uPysqcuHHP7bjm990IpgAg6IoaDQadvOx2Wxs2oxMk3NnZ/gY3gtVKmy+Tf6ZZ9T47DMVoqIY3Huvjdc1AyEWoedYGIaBzWZDbm4u0tLScPDgQZSWlgJwe0J99NFH2Lt3b0C/W5KpsOHhYTQ0NCw58BiKiIW7rt1uR21tLSwWy5KRQDAIlFjI9+hPA4GQqTDv9uakpCTQNI2CggK25VKv16O3t5dVASan5aUI8VhPhbW0uGdQXnpJBZfL/bPychd++lM7tm1z8iIK6U1kGo0G6enpSE9PZ6fJ9Xo9xsbG0N7ejvDwcA/fmUAiTql0hQ0MUPjNb9zT8L/5jQ05Ofw+T/5K5gNzki584Je//CW2bduGFStWYGZmBi+++CI+/PBDvP3226AoCrt378aePXtQUFCAgoIC7NmzB5GRkbj00ksDWk9SEQs39bVhw4Ylw7BQRizT09Oora1FXFwctm7dKmgax98ogqtF5u/gqFDFe5fLhfr6ekxOTmLz5s2IjY31KBZzWy6JCjAhmcbGRsTGxrLeGTExMR4b4LFcvG9sjMLdd4fj9dfniPW005y4+WY7Tj7ZP1MtX9ZbaPPjTpOT2ZnJyUkPEUZyj8iQ31L3hRjYhZpYGAb48Y/DMTNDYfNmF669lv8mhkBTYXzVWEZHR3H55ZdjeHgYcXFx2LBhA95++22ceeaZAIBbbrkFFosF119/PTsg+c477wR8WJYMsXBTX1VVVT6F2SqVCjYbvyHrUmAYBi6XC62trSgoKGANuYSEP5u93W6HTqeD3W73WYuMCyEiFiK/r1QqUVVVBY1Gs+gaXBVgwJ2SIQXm/v5+UBTFnpSJSdOxFLEQ2fq7716Jr76ae7EvuMA91FheLkwNzJ9irUqlYu2aAc8hv76+PlAU5ZE2m89ygdwzMYllvhm0l15S4b//VSEsjMEjj1ghhDGqv8V7IkrKVxbkqaeeWvTPKYrC7bffjttvv52X9SSRCvM19eUNsVNhTqcTjY2NsNvtyM/PR25urijr+kosU1NTqKmpQVxcHMrKygKKovgu3huNRtTU1CAlJQVr164NaBPRaDSsnAlN06wV8MDAAJqbmwEAAwMDSE9PF6TALBZoGnjjDRX+8Ic5H3mlksZ3vuOuoaxeLWxTRTD1Du+Ic2ZmBnq9HkNDQ2hpaWG1sYjkDFfBQsyIkzsBDwATExRuucWdArvlFjuvBXsuQh2xiI2QEgtxJ/Q19eUNMYnFZDJBp9NBrVYjNjZW9Gn/pTZ7MpBJCC/Ql5XPiKW/vx8tLS282hkrFArEx8cjPj4eeXl5sNvt+Pzzz2Gz2VBfXw+GYTyiGV9UZEMNh8MtePjQQ2FobXVvPhERDHbsmMB3vjOIb3wjX5Tr4GtAknjLx8XFIS8vz8OuuaWlBQ6HA3Fxcax+ViiIhRw+brlFA4NBgXXrXNi9m7/2Ym8EOscii1AGAIPBgOnpaZ9TX94Qi1hGRkZQX1+P7OxsFBQUoLq6WtRIaTFioWkaLS0tGB4eRmlpKZuaCGatYImFe01lZWVsukoIhIWFQaFQIC8vDzExMR4n5dbWVvaknJiYiLi4uKCjGT5TbmYz8Le/qfGnP4Whv999XXFxc0ONMzNDsNvFG1oUavLe266ZWP5OTEwAAL744guf7ZqDBZdY3npLiX371FAo3CkwAZf1u3jvcDhgs9lkYgkEycnJiIuLC/hhFppYaJpGa2srBgcHPSIqvu2Jl4JCoZh3Ktpms0Gn08HpdAZMzt4INhVGajzEb0YMPwny/HDFGXNzc9kpc71ej8bGRrhcLiQkJLAFZjGjTi4mJ+eGGicm3JtNSgqNXbscuPLKuaHG6WnxPe+FTiNyZ2eSkpLw+eefY+3atWxtpqmpycOJkY/DABdEWmV6msKPf+yu+9xwgwNlZcK+zy6Xy6/o2WQyAcCys68gCHmNJZgTkpBdYVarFTqdDi6X66giOJ/2xL5gvohlcnISNTU10Gq1WLdund9h9mJrBXoqn5mZQXV1NWJjY5es8fB9Mp7vmr2nzEm77OjoKCs1T0iG5P2FxNgYhUcfVeOpp+aGGnNyaNx0kx2XXXb0UKPY2l1ir0eK6IREAHjYNZPDQHx8vMdhIJhrJGv+9rcaDA0pkJdH4xe/EL4ByN/ivdlsBgC5xhIKCBWx6PV61NbWIikpCcXFxUc9EKGIWLjrkdpFQUEBcnJyeN0MAq2xkHShvzMzYmG+dlmygZG8Pzea4TPS6umh8Mc/huHvf1fDZpsz1iJDjYv1WIhNLGJ3aHmv523XbDKZYDAYMD4+jvb2dmg0Go+0mb8NKjRN47PPMvH00+681yOPWCGGSaO/NZbZ2VlEREQIftgRCsuaWFQqFa/EQiSrOzs7UVRUhKysrHlf7FBFLDRNo6mpCWNjY4LVLvydY+EqDwTSgMEHAtl8uZ4YXL95soFxpWYSEhICesGbm91Djfv2zQ01btrkwk9+YsM557iWHGoUu4U6FBHLYutxDwM5OTlwuVyYnJyEXq9n1RpiY2NZkomNjV3y+pualHjwwfUAgJtusuPEE8V5j/2tsZhMJkRFRS3bGa2Qp8KCAZ8RCzHkmpmZWdKQS+w2Z1Jj+fLLL8EwDKqqqgSrD/gTsTidTtbETEjlAV8QzCbs7TdPhv/0ej3a2tpgt9sRFxeHxMREn9b56is3obz5pudQ409/6t7I/Hnsj+VUmL8RklKpZIdkAXjYNff/z/qSG3V6z84YjcA11yTCZlPhtNOc+O1vxZuBCyRiWa5pMEACEUsw7a1KpdJn063FMD09jZqaGkRHRx/lTzIfFAoF7HbhWhO9YbFYYDQakZGRgbVr1woaHvtavDebzaiuroZGo/HpOxMSfG+G3OE/hmFgsVjYAU2GYVBTU4OkpCQkJiayUiYMA7z/vhIPPBCGTz5R/e+6GFx4oRM//rE9oOKw1CIIIdYL5r31tmsm803Dw8NobW31sGuOjU3A1VdHo7dXhbQ0C55+evEUJN8IlFjkiCUE4HqjBPqAkiG7vLw85OXl+XQjxaqxMAyD3t5e9PT0ICIiAuvWrRNlyn8potfr9dDpdMjIyMDq1asD/u75/CxCpY0oikJkZCQiIyOxYsUKfPDBB8jLy8Ps7Cw6OzsxO2tBXV0+/vWvPDQ1uaNIlYrBd7/rxO7ddhQWBv6chKLmsVyJjKIodnaGdARyo86nnsrFwYPx0Ghc+O1va6HVrgUg7meVI5ZlAi6x+OsbwTXk8nf+Q4waCxke1ev1yM/Px/j4uCgv/WIRJMMw6OvrQ1tbG9asWYOsrCzBr0dqoCgK8fHxSErKwFdfrcEf/qBGR4f7NQoLc+Gcc/px1VWTKC6O+Z8kTXB+JsdyKkxIAUq1Ws3aNb/6qhIvveSu0N98czPS00fx2WdGj7SZ0BG3vxGL0MrGQiPkxBJMKoxYffrbchysIZfQEYvZbPbQ1pqamsLo6Khg63GxUPGe2zhQUVHB6ngFA76iDDHNyWZm1Hj44Ug8/XQURkbcm2J8vHuo8brrbFCpKBgM7iYQbnF5PvHMpXCsF+/FiMhaWhT44Q/d7/euXXZcfrkSExNa5OTksLWZpqYmREdHe0jO8H1d/mZVzGazHLGEEv4W0okXSEZGRsCGXEJGLBMTE6itrfUwDJuZmRGtvXm+Tdpms6GmpgY0TWPr1q3zCgqGEmJshu3tFB57LAzPP38m7Hb3yTMtjcauXXZ8//sOxMYC7tSKe3NatWoVW1zW6/Xo6+tjZzZ8PSUfixs9F0LXdKamgEsuiYDJROGkk5z43e9sGBpyp6SIyGl+fr7H7ExTUxOcTudRvjPBXCcRrpVTYcsIvhIL15o3WEMuISIWbquzd5pJDPMtAm9iIcKWCQkJvA5iLgcwDPDpp0o88kgY3npr7lVZt86BG25wYudO56IyINziMhHP1Ov17CmZuDMmJib61CorNI6lVBhNA9deG4HOTgWysmg895wVKtX8a3rPzpDW84mJCXR2dkKtVrMHgoSEBL/T7t7Cl76Ab/dIsbHsicWXWRZiyGW1Wnlpi+U7YnE6nWhoaGC9SrxbnYXySJkPFEWxn21oaAiNjY1YtWqVKPYAwYBP4rXbgf37VXjssTDU1s5tBtu2ObF165e4+upViIryb6qOK56Zn5/PujPq9XoMDAwAgEc0Q6wFjuUai5AR0t697sOARsPg73+3ICnJ/XwsVUT3bj0nszMGg4FNbxLJGZLeXOozBEIsco0lSAg9y2I0GqHT6ZCQkIDS0lJeDLn4jFhmZ2dRU1ODsLAwbN26dd70iJjEQtZqbW1Ff38/SkpKkJycLMragYKvzdBgAJ55Jgx/+YuarZ9ERDC49FIHrr/ejoICBh98oAdFrQp6LW93RhLNDA4Oorm5GdHR0exGL5bLYijajYVY77XXVLjnHrcu10MPWT1avf39Lr1nZ7jeQIODg2AYxiNtNl+9luxP/tZYhBRvFRohJ5ZgsRCxkFbd9vb2gKRP7HagtpbC558r0NhIoa+PQn8/YDJRsNnS4HAkQatVIzGRQWoqg6Ii939lZQzWrWN8sool9Z6srKxFfWjEJBaapjExMQGVSoUtW7Ysm1NTMBFLezuFxx8PwwsvqGE2u5+RtDQa117rwPe/b4fQ7ze3VZZYARgMBnR1dWFsbAxjY2MeVgBC1biOhVTYJ58oceWV7u/n2mvtuOwyz8aeQOTrueB6AzEMg5mZGRgMBlZ/jqvYEB8fz2ZUFAqFX9+tnAoLMeYjFpJaMhqNfnUw2e3Af/+rwL/+pcCbbyrYTeZoUADCYDIBfX3uv/P223N/mpjI4OSTaZx/Po0LLqD/V9idA8Mw6OzsRHd3t0/1HrGIxWQyYWBgAAqFAlu2bPE7l+wv+Jxh8BcuF3DwoBJPPhmGd99VgmHcv2PDBhd27bIvWT8REiTnr9frERUVhcTEROj1eoyMjKCtrQ2RkZEsyfDZwbTcU2E6nQLf/W4EbDYK55/vwL33Hj1ZT9M0b881V02b6M8R35n29nZYrVbExcUhKiqKrZP6+v3y6R4ZCoScWPhOhZlMJtTU1ECj0WDr1q0+SVWbzcBf/6rEAw8oMTIS/Iul11N4+WUlXn5ZifBwBuefT+P6612oqmLgdM5Jx1RWViLWm3XmASEWIV/88fFx1NbWIjY2Fmq1WnBSCRUmJig8/7waTz+tRm/v3KZ2zjlO/OhHdpx00tKSK2JtvmTj5YpnEtMsvV6P5uZmD/HMxMTEoKR+lvOAZHs7hYsvjsDMjLsD7OmnrfNO1guZVlSpVOzsDDBn1zwyMgKn04lPP/3UQ0Bzsb1JbjcOMbjS+cTiOCcnB6tWrfLpAdq/X4Gf/ETFC6HMB6uVwr59Suzbp0RJiRMXXdSEb3yD9ksGhXwOIV58hmHQ09ODjo4OFBcXs2mY5YbFUmEM49bv+utfw/DyyyrY7e7vMD6eweWXuz1Q8vPFnRnxBQtZAXiLZ+r1eoyNjXmIZ5Joxl+fdbHbjflYb3CQwo4dkZiYUKCkxIV//tOChbKF/k7ABwNi1xweHo729nYUFRWxtZnm5mY2GiW+M9zr4rN4f8899+DAgQNoaWlBREQEtm7dir1792L16tXs32EYBnfccQeeeOIJGI1GVFZW4tFHH0VxcXFAax4zxNLc3IzBwUFs3LgRKSkpS/47oxH40Y9U2L9fvPZZnU4Fna4Ub79N4777nNi0ybfNjLx8fJ+2XC4XmzIk3Wh9fX2itjYL+XtmZ4GXXlLjr39Vo65u7j6XlblwzTV2XHyx8ygPFKlhKfVf0sGUk5PjkYppbW2F3W738DJZah5jOabC9Hrgoosi0N+vQH4+jf37LUelnrkQqxGCC1LX4VpqExM6g8HARp7x8fEwGAyIj49n1Y35wEcffYRdu3Zh06ZNcDqduO2223DWWWehqamJXeO+++7DAw88gGeffRaFhYW46667cOaZZ6K1tTWglFzIiSXYB5lhGIyMjLCpL198NHp7ge3b1WhpEfcBI/j8cwVOPlmNH/7QhTvucGGp+8YlFr5gtVpRXV0NhUKBqqoqNiwP1kEyVOCSYVubAn/9qxr//KcaU1Pu5ys8nME3v+nEVVfZUV6+PD6fvwTPTcVwLYD1ej06OzsRFhbmYQXg3SEZilRYMNGDyQR861uRaGlRIiODxquvmpGcvPh3FoyuYKCYr2HA24SO3Ku///3vePbZZ6HRaPDYY4/BZDLhjDPOCKpD7G1uARjAM888g5SUFBw5cgQnn3wyGIbBQw89hNtuuw0XX3wxAOC5555DamoqXnjhBVx33XV+rxmanZUnEG9z0sHkC6m0t1M45ZSwkJEKAcNQeOwxFSorw1BdvfjLzDexGI1GHDp0CLGxsdi8ebNHrlfMYUy+QFEULBYK//qXChdcEIGKiij8+c9hmJqikJdHY88eK1paTHjsMeuyIRWCQDd6YgG8YsUKlJSU4KSTTsLq1atBURQ6OjrwySefoKamBr29vTCZTKxK+HLpCrPZgMsui8Dhw0okJDB45RULsrOXfm7FTIURLNWJxr1Xv//979HT08Omyfbs2YOUlBT85je/4e16pqamAIB17ezu7sbIyAjOOuss9u9oNBqccsopOHToUEBrhDxiCQQMw6CrqwtdXV3s6cyXh2Viwh2pCFVPCQRdXRROOUWNBx904uqr59/0iIUzH8RC1JwLCwuRnZ191EYiru7WDCwWCxISEgLaYBgG+PprBR56qBAffpgGk8n9DCgUDM45x4mrr3bgG99Y2lBLquAzgvCex+BGM93d3VCr1WwqLSIiQpTmjUCJxeUCrrsuHB98oEJUFIN9+8woKvLt3QhFKsxfMouKioJer8dtt92G1atXY3h4GBaLhZdrYRgGN998M0488USsW7cOgNv9FcBRJn2pqano7e0NaJ2QE4u/L47D4UBdXR1MJhMqKyt9FmikaeCyy9To6pIOqRA4HBR+9CM1urud+N3v5t8Ig205JkOPQ0NDi7pPipUKGxwcRGNjI+upQ9pnExMTl2xqGBmh8OKLavz97yq0tSkBuPPEOTk0Lr3Ugcsuc/h0epU6hCR4YgWQlZUFmqYxOTmJ2tpaDA0NoaurC7Gxsez9iI6OFiSSCaTGwjDAT36iwYEDaqjV7qn6TZt8f15DVWPxZ0273Q6Hw8HWNtLT03m7lh/96Eeoq6vDp59+etSfed/jYA42IScWfzA1NQWdTofo6Ghs3boVarUaJpPJJ3mVZ59V4KOPpH10/cMfVDAaKTzyiPMocgmGWOx2O3Q6Hex2O6qqqhZNGQqdCiOabX19fdi4cSNiYmJgNpvZqfOWlhZER0cjMTERSUlJrCKwzQa89ZYK//iHGu++q2StfiMiGJx44iguv9yJCy+MEzw6ETtNKEZqiohjUhSFDRs2QKlUstPlvb29UCqVHgOafEUzgaTe7rorDE8/HQaKYvDkk1acfrp/0kpSqbEsBpPJBAC8D0jecMMN+M9//oOPP/7YQ4swLS0NgDty4ZLY2NhYwFbjy4ZYFjLk8kWEUq8HbrtteXzUp59WQqUC/vhHp8c8RaDEMjMzg+rqasTGxqKsrGxJSRshU2FOp9Mj2tRoNLDb7YiKikJ0dDRyc3Nht9uh1+uh1+tRU6NDW1s8vvgiH+++mwyjce7lrKx04f/9PwcuusiB9vYWZGZmQqFY2E56OSIUsvkKhQLh4eHIzMxEZmYmaJrG1NQUDAYD+vr60NTU5GEFEIx4pj8RC8MA99wThvvvd9cDH3jAhosv9s8uAwhtV5ivmJ2dBQCfasa+gGEY3HDDDXj55Zfx4YcfIjc31+PPc3NzkZaWhoMHD6K0tBSA+zD60UcfYe/evQGtKfnd1uVyoampCePj4/OmcLhzLAvh6aeVMBqllwJbCE88oURuLoMf/3iOMANJUY2OjqKurg4rV67EqlWrfNoAhEqFWSwWVFdXQ61Wo7Kykj0QcEUv3esrMDycjldeycGBA2r09c1tAlqtBeecM4bvfMeKTZtiWetWKYtjBgMxu7QYhpl3PYVC4SEx7y2eSVGURzTjj2GWrxELwwC//W0YHnrITSp33mnDVVc5/PuAnDVDUbz353shkvl8EeCuXbvwwgsv4NVXX0VMTAxbU4mLi0NERAQoisLu3buxZ88eFBQUoKCgAHv27EFkZCQuvfTSgNYMObEs9mBxDa8W8gFZKmJxOoE//3n5Sb3/8pdKrFtH48wz3adWfyIWrmTM+vXr2VDXFwiRCpucnER1dTVSUlKwZs0atgNJoVAgLCwMDMOgocGtKPzyy2Ho6pq7X1FRDLZtc+C733XihBNmMTnp9p8/cqQdKpUKiYmJsNvtfpu9yZgfS230XPFMmqYxMzPDkkxzc7OH8m9sbOyim6Mv0QPDALfeqsGf/+zemO+5x4pduwIjFV/X5Bv+khmZYeHrUPH4448DAE499VSPnz/zzDP43ve+BwC45ZZbYLFYcP3117MDku+8807AsjIhJxZg/vQLEWjMzMxc1Fd9Kdn8L7+kMDjI76kvKYlBVdUwsrJsmJ52wGBYgbfe4nfSjmEoXH21Gl9/bUdKiu8bvtPpRH19PaanpwOyCOA7YiHS+wUFBcjOzgZN0+zL3d6uwP79Suzfr0Jz89z9DQ9ncPbZDuzYYcPpp9tBMgIKhQrp6elsioZ4mlutVrS1tWF8fJwtOAdrzrQYxIwixFqL3HN/1lMoFPOKZ+r1etTX17PKv2R2xvtguNQmT9PAj3+swTPPuEnlwQetAUcqZD2x1QWA0LtH+rJvUBSF22+/Hbfffjsva0qCWLigaRodHR3o7e3FunXrluyIWCpi+fBD/h6i++5z4oorXAgPt+LTT2ugUqmwefNmREYqANgwPQ288IICu3fzU9wcHaXws5+p8NxzTp8iFhLhqdVqvyRjuOArYmEYhr2PJSUl/4ssaHz+OYW339bgrbdUaGubuzdhYQzOPNOFb37ThXPPdSE6GqBpCgwTBpfLxUY55DsgmxqZUk5ISGCLzl1dXQgLC0NSUlJA0iZSgpgkFux63oZZJJoZHh5Ga2srIiMjPZR/F9vknU5g165w/POfaigUDB591HqUUrG/4D47YiKQ4r2QByMxIClisdlsqK2thc1mQ1VVlU9dEaRddaHTzxdf8PMQNTbakJ/vHi78/HMdlEolcnJyPApssbHAD35A46qrbHjgASV++9vgv95//UuJa65xQaVanFj0ej10Op2HpXEg4KN473K5UFdXh+npaaxZswUffhiD11+n8M47Ko9al0rF4BvfoLFzpxPnn+9CfLzn7yGfgbyUNE3PSzJkjikzMxMrVqyAy+VihRpbWlp4FWoUE2LXWAB+ZXaI8m9ubq6HhElTUxN7GCQKztx74nAA11wTjgMH1FAqGfz1r1bs3Bl8qnO5EMtyl8wHJEIsFEXBYDCwhly+dC8RkBu2ULj5P3O+oPDVV3bk5THo6+tHa2srCgoKYDQaF/z7ajVw660unHoqjVNOCV57/Y47VLj77vmJhWEY9PX1oa2tDUVFRVixYkVQawU7L2OxWLF/fytqapLR0FCBzz5Twumc26wSEhicfbY7KjnjDBfi/GjkUigUHioEDMNgYGAA09PTyM7OZusspOCs1WpRWFjItjMToUZyck5MTERcXJzoG42vELMrjG9i8Ya3hAlRIZ+amsIXX3yBiIgIJCYmIipKi5tvzsSbb7rnVJ591ooLLuCnfhYqYgm0xrKcEXJiIV7vbW1tC06DLwYusczXXz86GtyL8q1vuVBc7ERDg7szrby8HFqtFtPT00tuwJWVDD7/3I6qquDI5ZNPFGhqikN6uud6NE2jqakJY2NjfvnOLIZAIpa+PuD99xV45x0XPvggHEbjZo8/Lyigce65bjLZsoWeV848kOvs6OhgBz7j4uLgcrlYwuHWDMLDw5GVlcWSD6kDNDY2wuVyeQxn+mKzICbEjljE2HQpikJMTAyUSiVWr16NqKgoGI1GDA4acN11UTh8WI2wMBp//OMATj9dA4aJ4OV7CMRwiw+EusYSCoScWCiKgsPhCHhjpCgKCoViwa6gYK3pTz7Zhq+++goAPDrTfJmfAYDSUgYPP+zAjTcGV3d5/fU0nHbaJPu/bTYbampqQNNuCX6+0ju+FO/7+twpxk8+UeD99yl0dpKXxv0ZIyIYbN3qwumnO3HuuTQKCni5NBYulwv19fWYnZ3Fpk2b2JfQO5ohRMO9TwqFAklJSazsvMlkwsTEBIaGhtDa2oqoqCi2NhPMjAYfCEXEIiZIu7FKpUJkZDJ+/etsHD6sQkQEjT/9qQ8FBX348stJaDQalvhJLS3Q9UIRncqpsBBh9erVPm3SC2GxTT46Gvif5lpAGB5uQVVVDNauXevxUCoUCp+v+coradx4Y+DXAADvv58Im83tkzI1NYWamhokJCRg3bp1vBamvYv3DgdQV0fhiy8U+Pxzt1Wzd5edUslg1apJnH22AuedF4GKCgfUalqQ06HVaoVO565xbdq0ad4GBW5thpAkN5ohhxCKohAZGYmcnBx2OJNEM7W1teyMBtnUQmF+JnYHWihEKKengW9+MwJffKFCTAyDl16yYuvWRACJbL2M68rItQLwpy1XJhbxIAliCRaLEUtSEhNUu7HTmY11645u2VUqlXA4fGt9VKmAW25x4r77Av+6zWYldLpwxMS4zczy8/ORm5vL60bgdAKNjUq891423n5bCZ1Ogdpat3IwF0olg5ISBpWVLqxc2YX8/AGcdNIGREdHg6Yd7AvM9yY1MzODmpoaaLXao4h+IZC/w41muP95RzMpKSlsV9P09DQmJibQ19fHzmgA7hy4RqMRfBMWM4oQW9kYcH++0VEVLr88Eg0NSsTHM9i/3+yh/aVUKpGUlISkpCQAYOtlBoMBXV1dUKvVLMlotdpFa7OhGI4kaVmZWJYhFptl2biRQW1t4L/74EEt7rzzaALxJ2IBgOLi4DeJQ4dc0GpbfDYzWwguF9DTA7S0KNDSQqG5mUJLC4WGBgpWqwZAqcffj49nsGULjS1bGFRV0aioYKBUWlFTUwOKolBSUgG1Ws1+H0KQyvj4OOrr67Fy5cqgCHW+BgBCMt7RTHR0NGJiYtiJc71ej+npaVY8k0QyS21ogULsrjCxTb66uqLwgx9oMTSkREqK26Rr48bF07BEPJN0/01OTrIk09jYiLi4ODbK9BbPDNVwJAC/iSVQjS6p4JgglsUilvJyGn/7W+CnlJoaBd56S4Ft2zwfeG6axRfwMXPY3q7Bli1bfD7NmM1uWf72doolkNZW939W6/ybSEwMg+xsPb7xjTiUlQFlZQwKChgPccfp6Wl8/XU1GzkAwnbc9PX1ob29HcXFxX6pCCyFpdqZuc+UUqlEamoqWlpasHnzZlitVnZmhmxopDbD5wzCsUosH36owC9/eRLMZiVWr3Zh3z4LcnL8O3xxyb2goID1mNfr9R7imYT8QyVACfj3XhBJl+UMSRBLsA/0YsRy9tnB7+gXXaRm51gI/I1Yvvwy+AfaYolBdLTn9PLsrJs8OjoodHa6/+vooNDVtbjigEbDoLCQQVERgzVr3P+tW8cgJ8eB99//DKeffvoCXXZu/bH8/HysXLnSY5Ke742JYRi0trZiZGQE5eXliPcedOEZ80UzpDZD0zQbzdA0jdjYWMTFxWHVqlWwWCyscCYZzuSj2Cx28V4sYvnHP1S44YZwOJ0UTjjBgRdesIKHhkbWY54rnklIpqmpCeHh4aBpGtPT06xqttAIlFjkVJgEsBixrFwJVFXR+Pzz4Db2jRvD8OWXDjal5U/EMjrKj17ZoUNxuP9+J0siXV0UhoYWfzni4hisWuUmkDkSobFyJTDffkfT87tVcs3VNmzYgJSUFI+5Eb5fUiJNY7FYUFlZKfpQo3c0Y7FY0NDQgPj4eI+0H0VRCAsLQ0ZGBrKystj0jF6vR1tbG+s7T6IZfz6H2KkwoU/zDAPs3RuGPXvcLd0nnTSAf/87ClFR/G9DXPFMwN1F2dnZyQ4ScxsztFptQCoVvoAU7v25j3K7sUSwVOvvlVe6giYWp5NCeXkYHn7YgSuvpH2OWGZmgDPO4K+b6Ne/PvqWJSS4ySMvz/1/8/Pd/61axUCrBfzZm8gLwD0tu1wuNDY2wmAwYPPmzYiJiWFTRkJ1ftXU1CAsLAybNm0KSTcWF2SYT6vVYs2aNQCwaDsz2dAKCgrYYvP4+Dja29vZQUAiNSOV4UyhSczhAHbv1uD5590b+I03mnHqqUcQEXGqYGtyodFoEBsbC6fTiXXr1mF6ehp6vR79/f1oampCTEwMe19iYmJ4uy+BNAzIEQtP4CMVtpi67SWX0Lj3XpozbxE4brxRjRtvBO69NxbFxYtf9yefUDjzTH5PQpdc4vIgjvx8N3nwBXIvSMRC5mUYhsGWLVsEL9ITM7fk5OSgpGn4gsFgQG1tLbKzsz18gICjazPzNQB4D2cSqZnm5mY4nU4PqRlvkcZjpXg/PQ1ccUUE3n9fBYWCwR/+YMNll83i0CHxakjAXPFeoVAgPj4e8fHxyM/PZz2ADAYD6urqWEdTEtEEMzTrb12HYRiZWKSCpSIWlQr47W9duOIK/japn/88EcDJAIDvfteFykoa6emAxQLU11N44AH+v9prrunHn/4UeDeYryCzLDMzMzhy5AgSEhJQXFwMQNgi/djYGBoaGpCXl4ecnJyQi/ANDw+jqakJRUVFyMzMXPDveddmFmtnTkxMRHJyMjucqdfrMTIygra2NkRFRbEkExsbC2D5F++Hhih861sRqK9XIjKSwTPPWLBtmwtmMy363MxCm3xYWBhrBcAVzxwaGmIdTQnJ+CsB5O8MC+COkAOVq5cKjhliWcqP41vfovGvf7nwxhv897G/+KISL74ofH/8xo1TAIQnFoqiMDExgba2NuTl5SE3N5dN/QhVpO/t7UVXVxfWrVsXVCs1X9fT09ODnp4eVpnZV/jTzhwZGYmoqCisXLmSFWnkSs7TNA29Xo+IiAjBagAEQsyxNDYq8M1vRmBwUIGUFBr//rcFZWU0u54UNbsWEs/kSgAtFmV6IxBikWssPCHYB1qlUsFmsy36d5xOB667rg6ffroRU1PCvqRCID7ehbVrg5AQ8BHESbC1tRUbNmxAamoqm+YRglRomkZLSwurwxbnjyqlACDXMzExgYqKiqBOjvO1My8WzSQnJ7MijcRSemxsDD09PYiNjfWoAQhB7nz+zrfeUuKaayIwPU2hsNCF/fs924lD4YsSCJnNJ57JjTK5NbO4uLijSMRfYpFTYRLCUqkwk8mE6upqaLWR2L/fifPOU8NmW15eBxddZIJKxb9lMBc0TaOxsRE0TWP9+vVISUkRlFQcDgfq6upgt9tRWVm55OlPaJBONKvVis2bN/N+PQu1MxMy50YzUVFRUCqVKC4uhkajYduZ+/v7QVGUx3AmH80NfBELTQO//30Y7r47DAxD4cQTnfjHPyxHtROHYtKfpumgBlmJeGZMTAxWrlzpIWja3NzsYc+g1WoRGRnpd/HearXC5XLJqTApYDFiGRkZQX19PXJyclBQUACKovD0005cfrkKNL08yEWjYXDttdOw2YQjFrvdjpqaGtafOyIiQtAivcViQU1NDcLDw7Fp0yZBJtf9AWlSUKvVqKioELwTbanhTLLBOJ1OREREIDU1lbUDJvMZPT09aGpqQlxcHEs0gVra8kEsMzPAD34Qjtdec39311xjxz332DBfFi8UqTB/veeXgkqlQkpKCitoOjs7C4PBwHYAhoeHQ61Wg6IonyMXs9kMAHLEwgeEGJBkGAZtbW3o7+9nUzoEO3fSUCrd5OJwSJ9cbr7ZhYwMBp2dwhALSbvExcVh3bp1+PTTT2EwGATL7U9OTkKn0yEtLQ2FhYUh7/wi7cQJCQk+a5DxDW40Yzab0dDQgISEBERFRR3lnMkdziQKAHq9Ht3d3ax2FhnO9JWwg01NdXRQuPTSCLS0KBEWxuCBB2y44oqFtfSWSyrMVxAJoOjoaLYDcHJyEt3d3ZidncUnn3yC+Ph4tglgIXUGk8kEiqKWjRndQpAEsQQLb2Kx2+2ora2F1WpdUAJlxw4ar7ziwOWXq2EwSI9cLr7YhdpaChERwC9+4cLUVHAGXAthfHwctbW1yMnJQX5+PhiGQVZWFoaGhtDZ2QmtVoukpCQkJyfz8rCPjIygqakJq1atQnZ2Ng+fIDiQduIVK1YgPz8/5J1oJG2blJTEtlt7tzNzvWbUajXS09ORmZnpMZzZ0dHBKgFzpWYWQjARyzvvKHHVVRGYmqKQnk7j+ect2Lx58Wc1VKkwsUQoVSoVkpKSYDQaERsbixUrVhylzkBIhnsAIPUVvr6bjz/+GPfffz+OHDmC4eFhvPzyy9ixYwf75wzD4I477sATTzwBo9GIyspKPProo2wXaKCQDLEEY4nL7Qqbnp5GTU0NYmJiUFVVteiJ7fTT3UZcl12mxuHD0hhUA4Abb3Ri714XLBb31H5YWPDOjt4gnVjt7e1Yt24d0tLS2M2LCD2azWaMj49jfHwcbW1tiIyMRHJyMpKTkxEXF+fXw08M3Xp6erB+/XokJyfz9lkCha/txGLBaDRCp9MdNTOzmNTMfMOZpIuNDGcSogkPD/cYzuRusoEQC8MADz4YhjvucNdTKitdeP55C9LSln6PQ9UVFoo13X4zR4tn6vV6dHZ2wmKxIC4uDocOHUJCQgKvWnOzs7PYuHEjvv/972Pnzp1H/fl9992HBx54AM8++ywKCwtx11134cwzz0Rra2tQdR7JEEswIBHL0NAQGhsbkZeXd9Qw20LIyQHef9+BBx9UYs8eZUiL+goFg7vvdmH3bhcoCoiMBHJzyZ/xRyzEeXJ8fBybNm1CbGzsvEV64lWSk5PDtl2Oj49Dp9MBACtnvpRXCVnPYDBg06ZNIS9Mknbi7u5ubNy4kZVkDyXIDE9hYSGysrIW/HsL1Wbma2fWaDTIzMxkNzOj0YiJiQm0tLTA4XB4eM34G0GYTMCuXeF4+WX3fb/ySjvuu2/+esp8CFWNJRRreg9YcsUzAXe9cXx8HG+//TZrKnjVVVdh27ZtOPPMM4PSyNu2bRu2bds2758xDIOHHnoIt912Gy6++GIAwHPPPYfU1FS88MILuO666wJe95ggFoVCAbvdjqamJpSUlPh9Gg4Lc3vU79xJ41e/UuKVV8T1bACAvDwGf/mLAyedNP9pjy9isdvt0Ol0cDqd2LJlCzQajU9Feu+2y6mpKYyPj6O7u5vV0EpOTkZSUpJHD77D4UBtbS2cTqcgnVb+gqZptLa2snbOZBAxlBgYGEBbW1tAMzz+DGeStCYpNOv1eoyOjqKtrQ1qtRpKpRJGo3HJIcDubnc9pbFRCbWawf3323Dllb55ExGIraYMSJfMIiIikJ2djddffx0HDhzA7373OyQmJuLOO+/EJZdcgtra2qBTU/Ohu7sbIyMjOOuss9ifaTQanHLKKTh06NCxQSyBpsJsNhuamprAMAyqqqqCGixatYrBiy86odO5sHevEv/5jwIul7APf2wsg5tvduHGG11YJAXOC7GQ/H1MTAxKS0vZbhUAfk1BUxTFSmIQufKJiQkPPazk5GRER0ejq6sL0dHRKC0tFd1kyRsulwt1dXWwWCzYvHlzyAukRNizr68PpaWlAVlzc+HPcGZERARWrFjBRqPt7e0wGo3sECA3muGeuA8edNdTJicppKbSeP55K7Zs8d/99XhJhfk7x2K325GSkoL7778f999/P/r7+5GRkSHItY2MjADAUd4vqamp6O3tDep3S4ZYAgGx6CWnTr42ipISBv/8pxODg8Azzyjx0ksKtLby+0Dm59O45hoa3/ueC75Eur540S+GiYkJNn+/atUqXuXuySa1YsUKtrd/cHAQvb29bBfT2NgYEhMTBZ8gXwg2m83D0jjUwpYMw6C5uRkTExPYtGkT7+2l/njNKBQKduaiuLj4KEmTmJgYxMYm4plncvHYY+7TT0WFC3//uwUZGYHVRUPVFSb24SYQW2Lu4XjFihVCXJYHvN9/PqLJZUssAwMDaG5uxqpVq5CVlYX33nuP9xxqZibwq1+58KtfudDSQuGttxT47DMKhw4p/O4kU6sZlJczOPVUGhdcQKOsjPFLdTjQiIVhGPT19aGtrQ3FxcVIT08XdOhRpVKx5FJUVITY2FiMj4+jt7eXNcTipszESIfMzs6iuroa8fHxKC4uDnl7s8vlQn19Pcxms2jpwcWGM2mahsViAeAeEo2KikJ0dDRyc3Nht9vR0DCNK69MRH29+wB38cUjuOMOE5KTtQACI+hQdIWFosYSiC2xWHIuxDRvZGQE6enp7M/HxsaCdrCUDLH4+pDRNI3m5maMjIygrKwMiYmJbArN5XIJdhJ1+5m48OMfu7thhoeBl15qArASs7Mx0OsBi4XGyIgBarUT2dlJyMpSISvLbai1ejXjc2FzPnA3BV9fDvJdjY6OoqKiAnFxcYKSCsMw6OzsRH9/v4fGFnfmgqTMOjs7odFo2FbmhIQEQV560mkllXZih8MBnU4HhmFCFjlxoxlyz8bHx7F+/XoA8EiP/ve/GuzalYPJSQViYxns3avHli0jGB3Vo6uryUNqxp82WTkVNj/ElHPJzc1FWloaDh48iNJStx253W7HRx99hL179wb1uyVDLL7AarVCp9OBpmls3bqVTX1RFAWFQrGkECVfoCggIwPYvHkKubnTSEuLxPT0NHsqXr9+PZRKCoD/ueeF4C+xkA3Mbrdjy5YtCA8PF3SSnni2TE1NLZjaIRLyxBCLdJk1NjbC6XSyyr9JSUm8pMxGRkbQ2NiI1atXL9ppJRasViuqq6sRGRn5v2cktDUnoglHDh4xMTFsNGOxuPDb34bjz392R1OlpU489dQscnNVoKhc5Ofnw2azse3MxAo4MTERSUlJSw5nHk/E4s+aJpOJV2IxmUzo6Ohg/3d3dzd0Oh20Wi2ys7Oxe/du7NmzBwUFBSgoKMCePXsQGRmJSy+9NKh1lw2xkJNnYmIiiouLj3opl9ILEwIkPUVkY/xpcw5kLeBoZ8f5MDs7iyNHjiA6OhqbN29mSZcU6Pm+PtJpBgCbN2/2yb9CqVSyMzFEdHFiYoI1XoqNjWWjGX8HxrhqyRs2bJDEzMx8g4+hBGkBn5ycxKZNm9jhSYVCge5uCldcEYnqavc7tmuXDb/+tRlqNQOXy50doCgKKpUKaWlpyMjIAE3TR81mxMfHs9GM92yG2DUWkvKTeo3FbDbzKsR6+PBhnHbaaez/vvnmmwEA//d//4dnn30Wt9xyCywWC66//np2QPKdd94JeiRA8sTCMAz6+/vR2tqKwsJCZGdnz7vJhIJYKIrC0NAQJicnsXHjRkHl3n0lFmK9mpWVhYKCArZQS6I6vmEymaDT6RAbGzsv4fsCrlR5Xl4ebDYbmzLr6emBWq32SJkttob3KVwK7cSTk5OoqamZ1ywsFCDdcVarFZs2bfI4CBw4oMSuXWGYnqag1TL4y1/sOPdcFwDNksOZRLKEdAp6T5pzpWbErrGQdLnUU2Fms5nXYd1TTz110W5biqJw++234/bbb+dtTUBCxDLfQ+ZyudhBvvLycmgXsUpUqVSiEovT6YTJZGKdFYXOi/pCLH19fWhtbcWaNWtYiQ+h6imAm8Tq6up4r1+QwT7yGchgX3NzM+x2O5tuSU5O9tgUpdZODMwNPhYUFIjS4bMUuDUertim1Qr8/OdqPPmk+39XVbnw7LN2ZGXNbUretRkuyXi3M4eFhSEjI4NNexLnzLa2Ntjtdlbo1GKxiHKfuGlgsUC+F3+IxWQyLXsvFkBCxOINon5LURS2bt26ZOeMmBGL2WxGdXU1ACA7O1u0YttCnWHEQ2R4eBgVFRWIj48XnFQGBgZYEhOqzx5w31cy4b969WrMzs5ifHzcw92PSMx0dHRApVJJop0YmBt8LC4uDrrLhg/Y7XZUV1cjLCwMGzduZDe8ujoKV1+tQWOje9P96U8d+PWvHVhMv5KkVAMZzjSbzWhubobFYsEXX3zh4WkSHx8vyOYvpPPpUmtKtXgvJCRJLCSdk5qa6rParFjEMjExgdraWmRmZsJutwu+HhfEMpgLcgK12WzYsmULIiIi2JOjUJ1fHR0dGBgYQGlp6aJRJN/gKsiSVtiJiQmMjIygq6sLCoUCaWlpMBqNSExMDFlxnO/BRz5gsVjY4dh169ZBoVDA5QIeekiF3/1ODYeDQnIygyeftOHMM/1va/dnODM8PJwlkxUrVrCeJk1NTYsOZwYDknoTk1gCiZKOBfdIQELEQibviTBiUVGRX6kDoYmFe21r165FZmYmmpqaBFEcXgjeEQuZz4iMjERlZeX/Ngv/J+l9hcvlQkNDA2ZmZrB58+aQvwBhYWGIjHR35OXk5CAxMZG1VLbZbOwpOSkpSbS0mNCDj4GANA4kJyejqKgIFEWhu5vCtdeG4dAhN/mef74Tf/qTHXyUCZcaznQ6nbDb7ew9SUpKYj1NiEPj8PAwWltbERUVxZJMbGxswMQQqo4wf8lMjlh4htPpRF1dHStU6K/wmpDEQpwVyWZBro27kYsBLrEYDAbU1NQgMzMThYWFR3l28A0yua5QKLB58+aQTdBzMTo6isbGRo/6RWJiIgoLC1ll5tHRUXaDIq3M/ioz+wru4OOmTZskUeMh6hRZWVnIz88HQOHZZ5W49dYwmEwUYmIY3H+/Hf/v/7n8Gtj1B9xoxuVyoaOjAyaTCfn5+Uc9t5GRkYiKisLKlSvhcDjYBoD6+nowDOPhnOnPM7gcZliIhluoRVr5gGSIZXp6GjabDVu3bg0o/OVK5/MJq9WKmpoaAEBVVZVHrUeoNRcCIRaiOlBUVMQWR4Wsp8zMzECn04XUCIsLbjvxfBL8xNqXu0FNTExgYmICNTU1UCgUHsrMfLhXSmHw0RsGgwE6nQ75+fnIycnB6Ciwa5cGb73l3uxOPNGFJ56we3jRCwlivkcOaMTEbCGvGYVCgZSUFKSlpYFhGExPT7P2zKQlnRBNTEzMos/+cpi6B+SIhXckJiZi06ZNAW+MQkQsU1NTqK6uXnB2RuyIhaIo9Pb2wmg0oqysDFqtVnBSmZiYYK2dc3NzQ94qy20nLi8v96nnn5hhca19yfR/fX09EhIS2JmaQKIMMvgYERGBDRs2hHzwEXB3o9XX17PNFf/5jxI33BCGiQkKYWEMbr/dgRtucEKsvZY7N1NRUcF+z/54zRC/edKSTqKZvr4+KJVKNvWp1WqPOiwshxkWQFxJFyEhGWIBgrMo5jt6GBwcRFNTEwoKCpCTk7Pg7IxYNRan0wmbzQan04nKykpERkYKTir9/f1oa2vD2rVrPbSEQgVvja1ASICYYSUkJLApMzIzwzUzIymzpU65xNZYq9VizZo1IY/mAPez29raivXr10OjScG114bhH/9wv+rr19N46ikbiovFiVIA96ZeX1+P2dnZo+ZmuPDHa8Z7OHNqaoq1ZyaadCSaIZGR1KfuSSpMjlgkBJVKBZvNFvTvoWkabW1tbNfTYiZQYkUs3PbmVatWISIiQlB5FpKyGB4eRnl5eVBGQ3yBTPdTFMVrqikyMhLZ2dnIzs72MDOrra0FAFZmZj4zMzL4KBUdMgCsgVlJSQk+/zwZN92kxvCwAgoFg5tvduK22xxBadb5CzJbZLPZUFFR4VddxB+vmbi4OCQkJGDVqlUew5nd3d1Qq9WIioqCy+UKKIoIFIEMRzIMI9dY+ESwLyUfqTCSJ7darT55u4gRsRiNRlRXVyM9PR3T09MeeWghTmBOpxP19fXskOFiPuliYXZ2lrVHCHS63xf4Y2Y2OzsrqcFH0gY+ODiInJxN+PGPtdi3z/16r1pF489/tqOqSrwORsD9LBFtv/Ly8qAOA94kA8Dn4czJyUn09fXBZrPhk08+OUpqRigEQiwA5FSYlBAssZCWzKioKFRVVflU0BU6YiFF+tWrV2PFihU4cuQIBgYGwDDMUVPnfIA0KoSFhUmmAD05OQmdTofMzEysWrVKtKhgKTMzhmFY6f9QpFm4mGtx1qO7+0RcfnkMDAYKSiWDm25y4pe/dEDsBjWHw4GamhoolUqUlZXx0iBBQL5rX6OZhIQEWK1WAMDq1auh1+sxMTGBjo4OhIeHs0oOfA9n+lvXMZlMUCqVIXdZ5QOSIpZAXSSB4IhlbGwMdXV1yM7ORkFBgc+bl1ARC0lFDQwMeBTpCwoKMDY2xk6dx8bGskXnYL1NpqenUVNTg6SkJMnUCuZrJw4VIiIikJWVBYfDgcnJSaxcuRIWiwX19fWgadojZSZmKzZN02hoaEBnpwPPPHMa3nvPvfaGDTQee8yG0lLxaikEZMJfo9GI0sywmNcMiWbsdjsUCgUrF0RM6YjUTHNzM5xOJxISEthoJtgN3t8aCyncS+HdCxaSIpZgEAixkAnprq4urFu3zu8CtRARC5nnMZlM7CQ9CfmjoqJYBWWbzYbx8XGMj4+jq6sLGo0GycnJSElJ8anozAXRs8rLy1uwUUFs9Pb2orOzc9524lCAYRi0tLRgfHwcmzZtYvPgpA12YmLCw8yMaJkJaWbmcrlQU1OLffuS8cwzhTCZKGg0DH7xCwd273YiFAEn6ZCLjo5mJ/zFxHwNAFNTUxgYGEB2dvZR0Qw5EJDCOVFyII0chGT8facAaXuxCI1jilj86QojHUaTk5OorKwMSAWX74iFyG6EhYVhy5YtHmTpXaTXaDQe3iZ6vd6j6Ew2tsXmNIi7ZGdnp2T0rEi0NjIy4nM7sdAgigOkq4nbjUZRFOLi4hAXF4f8/HwPMzNC+EKYmTkcDrzySiv+8If1qK93f0dVVS48+qgdq1eLH6UA7uf3yJEj7LyTFA4oJpMJtbW1yMnJQU5Ojkc7s/dwZkREBLKzs9nZJyI109DQAIZhPKRmfIlKAyEWKdQ0+YCkiEWsVBgRuFQqlaiqqgq4VsFnxGI0GlFTU4PU1FQUFRX5VaRXKpVISUlhZTG85zS0Wi2bMiPhPRGuJMrRUtrATSaTh0dIKOGtBrzUhiKGmZleb8Utt0xj374KOJ0KREcz+N3vHLj6avHmUrxBPIBSUlKwevVqSZAKmUPLzc3FypUr2Z8v1M7sPZyZnJzMNnLMzMxAr9ezdc+YmBi2NrPQcKbL5fJrbyGpMCl8d8FCUsQSDHwlFu4GHmwtga+IZWhoCI2NjSgsLMSKFSvYhzyQVmLvojM3vG9tbUV0dDQSExNhNBrhdDolIy/v3U4sBckY0swQHh4eUK3A28zMZDJhfHw8YDMzhgEOHHDipz+NwNiYW/xz2zYXHnzQjhUrQhOlAG5lhurqamRkZIjaYLEYCKmQ9O588Gc401v8lLQzk2eWKzVDml78berg2z0ylDhmiMUXP5b+/n60tLRg9erVyM7ODnpNErEwDBPQy8QwDNrb21kV3MTERN6HHom0SU5ODux2O4aHh9HZ2cmepnp7ewX1nPcFZE5H6HZif8D34CNFUUdNjhOZGa6ZGZkc9/4Oenoo7N6twMGD7iguO5vG73/vwHnniWtu5w2iRZadnS0JZQZgbr4oPz/f5/fcn+FMpVKJ1NRUVsmBSM309vZ6SM3YbDa/ZlKOFWVjQGLEEuzkPfekzwXXr2QpwzB/1wQQELGQeZGZmRls2bJFlEl6i8WCnp4eZGRkID8/n02ZNTY2wuVyeaRpxGo1Ju3EGRkZfnXkiXFNRLhRiGvimpnRNA2DwYCJiQm0tLR4mJnFxCThz3+Oxn33qWG1UlCpaOze7cSttzoR6kwhsQtfLCoQGyQjEWwnoT/DmbGxsYiPj2drbCSamZychMlkgtlsZp0zF2u7PlZMvgCJEUswIJu8d4sfSbE4HA5UVVXxmrfnKrb6c6IlRXqVSoXKykqo1WpBJ+mBudbdVatWsac4ckIuKirCzMwMxsfH2c6m+Ph4pKSkICkpSbBaB+lG415TqDE+Po76+npRW5y5ophcM7PXXrPigQfCMDTkTgtu3jyDxx9XoqhIlMtaFHq9HrW1tSgsLERWVlaoLwfAnOgm39fkj9cM0aXLzMzE119/Da1WC5qm0dnZCYvFctRwJvddl7vCJAgusZDTNsn9xsXF8T6kxV3TnzoLCdOTk5OxZs0aNq8LCOOhwjAMK/OxUOsu13M+Pz8fFouFbWVua2tjJeeTk5MRGxvLyzX29fWho6MD69atQwofJiA8gGhshbJDjqIojI7G4Je/1OL1193Pa0KCFbt2daGyshujowrQdDKrzByKtCERuJSKhhwwR3RFRUWCOpou5TXDjWZomkZMTAxSUlJQUFAAs9nMRjNdXV0ICwtjNemioqJgNpsFJ5bHHnsM999/P4aHh1FcXIyHHnoIJ510Eu/rSIpYgtmwSCcHOT2MjIygvr6enfsQIgogv9PXzrDh4WFWBiQ7OzuoIr0voGkazc3N0Ov1HrMXS4G0XRL9LNLKXF1dzXbLJCcnz1sLWAreOmRS6EZjGAbd3d3o7e1FSUmJqK6YXExPA3v3qvHooyo4HO7J+XPP7cGePSrk5a0ETWdjcnKSJXybzcYqM4tlZjYyMoLGxkasX79eMgeCiYkJ1NXVYc2aNaIT3UINAFNTU7BYLFCpVLDb7aAoymM40+VyscOZ+/fvx29+8xusXr0aqamp6O3tFSS1+K9//Qu7d+/GY489hhNOOAF/+ctfsG3bNjQ1NfGeMaCYQPt7BYDL5QpKofi9995DeXk5xsfH0dPTgw0bNgh+8jx48CCqqqoWPWkQHafe3l5s3LgRSUlJgtdTHA4Hamtr4XQ6UVJSwotMBE3T7MY2NjbG1gII0SzVycVtJy4tLZVEOzF38LG0tDQkAoAuF/D880rcfnsYxsfdz8IJJ8zgssuqsX17wbwioMQ7fnx8HBMTE5icnBTczIxEdBs2bFhUnFVMkNTl2rVrkZaWFurLAeDZkZaRkcEeIMlWSzIThJRomkZNTQ3uvPNOdHd3Y2BgAIWFhfjud7+LX//617xdV2VlJcrKyvD444+zP1uzZg127NiBe+65h7d1AIlFLMFCoVCgtbWV9X8XY5NYapaFDGJOTU2hsrKSVVkVklTMZjNqamoQFRWF0tJS3tIlCoUCWq0WWq0WhYWFmJ2dxdjYGNvbHxcX5yExwwWpdQGQTDux99xMKNquP/1UgZ/9LAx1de5Tb0EBjR/9qBurVrWhvLxswWd4PjMzElnW1NSAoiiWZPgwMyOpy1BGdN4gKbl169ZJYrgXmCMV744073Zm7+HMkpISREZGYteuXbjmmmvw7rvvYmxsjLfrstvtOHLkCH7+8597/Pyss87CoUOHeFuHQFLEEswmazabYbfb2al1sTauxWZZiLyFUqnEli1bRCnSG41G1NbWIj09HYWFhYJ1WVEUxfb2e0vMdHZ2Ijw83COS0el0rMyHFNqJvR0fxSa6jg4Kv/2tGq+84n4F4+IY/Pzndpx0Uh1mZ40oK/NvQFStViMtLQ1paWmLmpkF0ozR3d2Nnp4eyaQuAXczSkNDg6RSctPT02yk4p1aWqqd2eVyobGxEWvWrEFcXBx27tzJ67VNTEzA5XIdRcCpqakYGRnhdS1AYsQSKMigklqtRl5enqibxEIRCzm5JCUlYe3atYIX6QF3DaepqYkdtBQTC0nM6HQ6OJ1OREVFsRazoUawg4/BYGwMuPdeNZ56SgWnk4JCweDKK5345S9tGB6ug8ViWdQMyxfwZWbGMAw6OzsxMDCAiooKyfiEkDrPhg0bJKEjB8w1CuXm5vpUH/Guzdxxxx0wGo2CFNK58N53Ap3BWwrLmliI1lVbWxvWrFmDoaEh0RwdCeaLWEjjwKpVq5CTk8OGvUJFKURMs6+vDyUlJUhMTOR9DX9AJGYA93exYsUKKJVKdHR0oKGhAQkJCWwrs9gS4bOzs6iurhbd8dFkAv70JxUeekgNk8n9DJx9tgt33mlHUZGD9S2pqKjgfYaIa2bmdDqP0pWbz8yMWECPjY2x/vRSADk8SY1Ujhw5gpycHA/pGF/AMAzuvfdePPfcc/jss89QXFwsyDUmJSVBqVQeFZ2MjY0JkkZctsRCPLTHx8dRUVGBhIQEjI6OiupBD3hGLFy15I0bNyI5OVnweorL5WK9xDdt2iSZPvj+/n60t7d75L+JxMz4+DiGh4fR0tKCmJgYNmXmi6xJMBBj8NEbTifw3HMq3H23GqOj7vXKyly46y4HTjmFht1ux+HDbuFRPuthC0GlUh1lZjYxMeFhZpaUlISpqSnMzMygoqJCEk0WAFi7CCkcnghMJhNLKrm5uX79W4Zh8Ic//AGPP/443n//fcFIBQDCwsJQXl6OgwcP4qKLLmJ/fvDgQWzfvp339SRFLL6+6DabDTU1NWAYBlVVVeyplw8XSX9B1iSFYKPRiC1btohSpLfb7aitrQXDMNi8eTPvxl+BgMjUDA0Noays7KiOJm7B2W63sykaImtCSIZviRnSPSTWMCZNAy+/rMRdd6nR1ub+HLm5NG6/3YGLL3ZBoZgblI2JiQmJxDxXV45Y+hLHTLvdjoiICPT39yM5OZl3Eyx/QTrSNm7cKClSOXz4MFasWBEQqTz88MN46KGH8M4772Djxo0CXeUcbr75Zlx++eWoqKhAVVUVnnjiCfT19eEHP/gB72tJilh8AdEm0mq1R+lK+SudzweUSiXsdju++uorUBTFNg4IXaQXy67XH5AC5PT0tE+2xsRCNiMjw0MJuKGhwcM8K1iJmcHBQbS0tIjSPcQwwFtvKXHnnWrU17s34qQkBrfe6lYfJuU/ogZMjNWkIGUTFhYGg8GAsLAwbN68mVVjCLWZ2cDAANra2iTVkUbu34oVK5Cfn+/Xv2UYBn/+85+xd+9evP3226ioqBDoKj3xne98B3q9HnfeeSeGh4exbt06vPnmm4LMzEhqjoVhGNjt9gX/nKgAr1q1CitXrjzqZWxqaoJCoUCRiJoXX331Faanp5GSksJ6UHDlt4XYMAwGA2pra5GVlSUZNVlul1VJSUlQGw8xzyJdZrOzs2xXU3Jyss9twdzBx40bNwq6KTEM8MEHCtx5pxpff+0m+dhYBjfe6MCuXU5w7X7I4UjMlNxScLlcbKNFWVmZB5FzzczGx8dhMplEMzMjKdXS0lIkJCQIsoa/mJ2dxeHDh5GZmen3/WMYBk8//TR+9atf4Y033sCJJ54o4JWGDpIiFsCd5vIGmdbu7+9naxfzobW1FU6nU9BcJRejo6PQ6XTQarUoLy9ni/Rk+EkIkNN3UVERMjMzBVnDX5CUjlDtxFyJGaPR6JPEDCk+j46Ooqxs4XmQYMEw7lmUPXvU+Phj9+eOiGDwwx86sXu3A95ZG3IokJJwo9PpRE1NDQCgtLR0yZkXrpmZwWAQzMyMmNCVlpbOOyQaChBSCcQigGEYPP/88/jZz36G1157DaeeeqpwFxpiSI5Y7Ha7R0sqmSC3WCwoKytbtDulo6MDZrMZGzZsEPQayUm4s7MT8fHxiIuLQ15enuCdXx0dHRgYGBD89O0PpqamoNPpkJqaKorBE3cQcGJiAkqlkt3UiMQMd/CxrKxMkMFHhgHefVeB++5T49AhN6GEhTG46ionfvpTB+YbAicDfWvWrBFUz8of2O121NTUQK1WY+PGjX4fCkgKkxANMTMjopqB1v16e3vR1dWFsrIyyczOmM1mHD58GGlpaX4rcTMMgxdffBE33XQTXnnlFZxxxhkCXmnoIWliIZ4YkZGR2LBhw5J59p6eHhiNRpSWlgp2fTRNo6GhAQaDAWVlZRgYGIDD4cDq1auhUqkE6/xqaGjAzMwMSktLJdP6SfLv+fn5ITl90zQNo9HIRjMOhwMJCQkwm81QKpUoKyvjvRZA08Cbbyqxd68K1dVzhHLFFU789KfOBQ23hoaG0NzcLKmBPpvNhurqakRGRmL9+vVBRxpcM7OJiQlMT0/7bWYGeA5kBmIZLgTMZjPrkBnI4PH+/fvxwx/+EP/+979x7rnnCnSV0oFkiYX02a9YscLnG9nf34/R0VHBimHcbrTS0lKEhYVhZGQELS0tYBgGSUlJSElJ4VV11mazQafTQaFQYOPGjZKQQgHmct+hVALmgmEYGAwGtvDvcrkWlZjxFy6Xu8vrvvvUaGx0b8AREe4IZfduJ9LTF36Nent70dnZKanis9VqxZEjR9jmDyFSt1wzM71eD5VKxTZjLCRgSuaxysvLJTOQabFYcPjw4YBJ5T//+Q+uuuoqvPDCC4K09koRkiMWm82G7u5udHR0oLi42K+UwdDQEPr7+1FZWcn7dZEhqPj4eKxbt86jSA+ALTaPjY3BarUiMTGRHQIMlAxIxJaQkIC1a9eGtN2TgKTkBgcHUVJSIqncN3fwkdvKbDAYWImZlJQUvwQaHQ7gX/9S4ve/V6O93f39x8QwuO46J370IwcWm9HjTq6XlpZKKqVz5MgRJCYmitaR5h1d2u12aLValmg0Gg26urrQ398vSVJJTk4OKNX75ptv4v/+7//w3HPP4Zvf/KZAVyk9SIpYGIbBkSNHoNfrA3oRR0dH0dnZia1bt/J6XWNjY6itrUVubi5bSyFfm/dmzzAMOwQ4NjaGmZkZ1jTLn46miYkJ1NfXIzs7WzDZf39B0oDT09OSSsktNfjInTafmJgAADaSWSi6tNmAf/xDiT/8QY2eHvc9TkhgsGuXAz/4gRNLNShxVZPLy8sl812Rgb60tDRBteQWA/cdmZiYwNTUFNRqNdt4k5qaKonn3Wq14vDhw0hMTERRUZHf1/Tuu+/i0ksvxZNPPolLLrlEoKuUJiRFLIC7TqLVagMq+k1MTKCpqQknn3wyL9dCTLI6Ojqwfv16pKam+j30aLVaWZIxGo2Ijo5mT84L5Zz7+/vR1tYmKSMl0k5M0zSbBpQC/B18ZBiGlf4fHx+H1WplT87JyckwmTT4619V+POf1Rgbc9+b5GR32/A11zjhy0GaEPDMzIxgzQOBgIgkSqnNmXTvDQ0NIT4+HlNTU6yj5mLELzQIqZAI2N/v6qOPPsK3v/1tPPLII7jiiisk8V2LCckRi8PhCFjvi3hwn3baaUFfB03TaGxsxMTEBMrKyhAbG+thQRrIg+JwODAxMYGxsTFMTExAo9GwJENSSsQES0ppJovFwjZRrF+/XhLDmMBc63VxcXHAXhzk5FxdbcI//pGCDz5YAZvN/fkyM93+8t/7nu/+8i6XC7W1tbDb7YI0DwQK4lyam5vrt56VUCBjBKOjo2xUx/X8GR8fD4mZGak/xcfHs7Np/uCzzz7Dzp078Yc//AFXX331cUcqgASJxel0BizLMj09ja+++iroVj7SgulyuVBaWgqNRsO7kCRp0xwbG8P4+DiAubRaWVmZZDS/pqenUVNTI1o7sS8gkWRPT09QrddkBuXhh1V46y0lGMb92VavNuH889vwjW/okZ6e5LOkicPhQE1NDeuvwbcVdqAgXvAFBQWiq14vBBKpkFThQioN3JSZGGZmNpsNhw8fDphUvvzyS+zYsQN79uzB9ddfL4n3JRQ4pohldnYWn376Kc4+++yA1yc56NjYWKxfv16USXqLxYIjR46ww5UOh8Oj+M+32q2vIGkmMswnhZeEj8FHh8Pd4fXwwyrU1MxFX+ee68QNNzhx0kk0aHpOYmZ8fBw0TXukZ7zvCWndjYiIkFRUR+6h0F7w/oDUnyYmJlBRUeFzFOI9w0RRlMc9CZbIbTabR6ecv8/7kSNHcOGFF+K3v/0tbrrpJkm8L6HCMUUsNpsNH3zwAc4666yAOqhIi3NOTg7y8/MXLdLzhenpaeh0Oo8OHZPJxEYyJpOJlZlPTk4WTWae6DNJpZ0YQNCDj8PDwLPPqvDUUyoMD7vvZ3g4g8suc+JHP3KisHD+V2EpiRmGYVBdXc2ecqXQvQfMmWEFkyrkGwzDoLm5GQaDAeXl5QGntoiZGen8M5vNQZmZuVWmD7OCoP6SQm1tLc477zz8/Oc/x89+9rPjmlQACRJLML73TqcT7777Lk4//XS/TvkMw6C3t5edy0hPT2dnIYSapAfc3WYNDQ1s3nu+dSwWC0syk5OTiImJYUlGiHQZt51448aNktFnIgoMJD3pa+2CYYDPP1fgL39R4ZVXlHA65wry113nFob019aDa5xlNBoBADExMSgqKlpQYkZsEIn59evXS8a3hGEYNDU1wWg0oqKigtdDkvc9iYyMZKOZxczMgDnb3qioqIBUphsbG7Ft2zbcdNNN+NWvfiWJ+x9qHFPEwjAM/vvf/+LUU0/1+aElvi5jY2OsfITQcvfEoKyzs9OviMBut7OnZr1ej/DwcJZk+Mg3k4aFqakpSbUTE8dHjUbjs+zI7Czw738r8Ze/zKkMA8CWLS5ce60TO3a4EKzLwOTkJKqrq5GYmAiKoqDX66FUKtlIRqvVhiR6IcOrUpKYZxiGfbbKy8sFjby928vJ8DL5j3voDJZUWlpasG3bNlx77bW48847ZVL5H44pYgGAd955B1u3bvXpNG+326HT6eBwOFBWViZIkd4bNE2zznwlJSUBD825XC72hDY+Pg6FQsGSTCAbGjciKCkpkYS3CzA3+OjrkGhdHYVnnlHhxRdVmJ5237+ICAbf/rYL117rQEkJP4/7xMQE6urqPAri80nMcKX/xegQ6+npQXd3t6SEG8mBZWZmBuXl5aI+W1wzM5LGJGZmCQkJaGpqCljSpr29Hdu2bcP/+3//D/fee69kUqBSgOSIhaZpOByOgP/9e++9h4qKiiU3bJPJxCrykmKr0J70TqcTdXV1sNlsKCkp4a11kruhjY2NweVysWmApKSkJYuapJ04IiJCdA/4xUDk5TMzMxdVkjWZgP37lXj6aRUOH5679txcGtdc48TllzvBp5IK8VxfbM6I6GZxa2V8SszMtx6ZXCft8VIAmemZnZ1FeXl5yNuvLRYL2/JvMBigVCqRkZHBtvz7Sg7d3d0455xzsHPnTjzwwAMyqXjhmCOWDz/8EBs2bFi0BXViYgI6nQ7Z2dlYtWqVKEV6i8UCnU4HjUaDDRs2CNaKyjAMZmZmMDY2hrGxMZjNZvbUnJycfNRpkbQTp6SkBDRdLBR8GXzU6dzRyb/+pcLMjPu6VSoGF17owve/78Spp9Lg+3aSNNOGDRuQlJTk878jg7JEYiYyMpK9J8GmMYlr5/DwMMrLyyXTqk7TNOrr62E2myVBKgQOhwPV1dVQq9XIzMxk02bEzIykzBa63r6+Ppx99tk477zz8Mgjj8ikMg+OOWL55JNPUFRUtGDBsre3l51qz8jIEKVIT6TlU1JSsHr1alEfRK68DFGbTUlJQUpKCsxmM+rq6iTVTgzMKQHP1800MwPs2+eOToi6MADk59P43vecuOwyJ4RoYuPOzgSbZvKuAXi3zfoTMXJbdxebBxEbNE2jrq4OVqtVUoOiTqeTJZWNGzey76KvZmZDQ0M4++yzcdppp+GJJ56QSWUBSI5YlnKRXAqHDh1CXl7eURsSTdNoaWnByMgIuzEIXaQH3C2fjY2NyM/PR3Z2dkg3b5vNxpKMwWAAwzBITk5GXl4eYmJiQk4sCw0+MgxQXa3A00+r8NJLSszOuq9TrWawfbs7Ojn5ZP6jE+51tbW1YWRkhHfTMNI2S+6LzWbzkJhZrB5BGk8mJyeDat3lGy6XC3V1daz6QKjmsLxBSEWlUi3ZBELMzCYmJtDf34+f/OQnqKysRH19PTZt2oS//e1vkkkZSxHHHLF89dVXyMzM9HBXJDpXNpuNLR4KXaQnm2R3d7fkWj47OzvR19eHnJwczM7OYmJiAmq12kNeRuyT2HyDj1NTwL/+pcIzz6hQVzd3PQUFNL7/fScuvdT/VmF/QdM0mpubYTQaUVZWJmhEwBVnHB8fZyNMbl2GPKskzURqF1JptiCSNk6nE6WlpZIiFa4qgj+kYLFY8OKLL+Kpp55CW1sbAOCss87CBRdcgO9+97uSIXQp4ZgjliNHjiA5OZnNy8/OzrLthKQwLXSRnmxGer0eJSUlkiqkkjmC0tJSNhdP07SHvAxN0yzJiCEC6C3aODQUiUcfVeH551Uwm933R6NhcNFF7ujkhBNoiBFcuVwu1NfXw2KxoLS0VLThVALiZ0Lay4m2XGJiInp7e9luRqmkmVwul4dQqVQkbVwuF6qrqwMiFQDQ6/U477zzUFBQgH/+859obm7G66+/joMHD+Ktt96SiWUeHHPEotPpEBcXh9zcXOj1elZOvaCgwKNILxSpOBwO1NXVweFwoKSkRPTNaCGQdmJyklzohEvaM729Zcipme9NjNvmnJhYjrvvjsRLL83pdq1ZQ+PKK5347nf57exaCk6n02OTDPXJm2jLjY6OYmRkBIBb+j81NdWnzj8xro9rghfq6yEg1wUApaWlfpPK5OQkzj//fGRlZWHfvn2SIXGpQ3LEArhPaoGivr4e4eHh0Gg0aG1txZo1a5CZmSlKPcVsNnuoAEvl5bJarR46Vr5e10LeMiSaCfakRvS1wsI0+PTTCtxxhwY2m/venH22Czfe6MApp4gTnXBht9v/d11hAfnACwWuyGVeXh7bAGA2mz3qMmIfZkiaiaKogDZvoUAiKEJ2/l7X9PQ0LrzwQiQmJuLll1+WzCFxOUCSxML1vfcXjY2NmJychNVqRWlpKRISEkQhFWI2lZ6eHjIDpfkwMzODmpoaJCUloaioKKjaSSDeMguBDD7Gxyfg8cdL8dxz7ojglFNc2LPHztsgo78gkulEM0oqXT+E7Ei7OneTNJvNbF1mcnKSvS/JycmCN2WQgrhSqQwozSQUgk3LmUwm7NixA5GRkXjttdfkdJefOKaIxeFw4NChQ3A4HNi6dSvCw8MFL9IDwPDwMJqamlBYWCgZWXJgbjp8MS2yQMH1ltHr9QgLC/Mo/i+2Fnfw8bPPirBrlwZKJYN773Xghz90ih6hEBCyE9Oy1xeQiDM6OnpJsiP3hbQyE595ISRmSATlS5eVmOA2EJSVlflNKrOzs9i5cycoisIbb7whmbmg5YRjhliIjzfDMIiNjcWGDRsEL9KTaee+vj6sX7/er4E5oUFMsMRwoZzPW4aQjFar9dhwCNmRwcfy8nC0tCjwu9/ZcfPNgUv5BAvirrjUlL/YIJYKRNLGn+uaT2KGq8gQTN2IDBmGhYVJSq2BpmnU1tayjQ3+korFYsG3v/1tWK1WvP3227y2lh9PkCSx+OsiaTAYUFNTg4yMDGg0GkxOTrLS10J2fpG0W0lJiWQeQNJO3N/fH5QJVjDrT05OsiRjt9tZbxmn08lK8aelpaGzk8KGDRFQqRj09VkQoGxa0DAYDKitrZWUuyIw19FIBmuDnc6fmZlhScZkMrH1suTkZL/aqElaLjw8HBs2bJBMupCQSqDzMzabDZdccgmMRiPeeeedgHX8ZBwDxDIwMIDm5mYUFRUhKysLQ0NDaGpqYjtmhGiXtdvtqK2tBU3TkhJsXKidOFTg6mUNDg7CZrMhJiYGmZmZSE5OhkoVjq++UqC5WYGrrgpNtEKsC1avXu0x+xRqzMzMoLq6GhkZGYJEUIFKzBA14ECFG4UCd9K/vLzcb1Kx2+24/PLLMTg4iHfffVf0A9mxhmVLLGSgbnBwECUlJdBqtXC5XHC5XOzJbGxsDHa7HUlJSawbY7CdWrOzs6ipqWGLu1JJAXDbnBdrJxYb3MHHtWvXsv4y3t4y3OE/sUCkY9avX4+UlBRR114MU1NTqK6uxsqVK5Gbmyv4elyJGaKUPZ/EDHFY9KXWIybIsKjFYgmIVBwOB77//e+jo6MD77//vqRS2ssVy5JYnE4namtrYTab2Wno+Tq/yIl5dHQUY2NjsFgs0Gq1SE1NRXJyst8PIEmZZGVlSSoPz/UrEVLg0l9wBx9LS0s90i12u92j+M+3t8xS6O3tRWdnp6Q8SwDAaDRCp9Ox+m1ig6ZpTE5OsiRjs9mQmJiI+Ph4DA4Osra9UiOVQIUunU4nrrnmGtTX1+ODDz6QjFvqcockiWUxe2Kz2cy2XW7cuBEqlcrnIv3s7CzGxsYwOjrqYfmbkpKy5AmfFMOLiooklzLhq52YTxDyJwOZi73wLpcLer2ercsoFAqP4j+fn4nUoAYGBlBaWiqpPLper0dtbS0KCwuRlZUV6sth55iGh4fR19cHmqaPkv4P5eEqWEl+l8uF66+/Hl9++SU++ugjwZtcjicsK2IxGo2orq5Geno6Vq9eDQBsZONvkZ6kZMbGxjA1NYW4uDiWZLg968Sqd2BgICTF8MWg1+tRV1eHlStX8t5OHAzI4GMgERQ5MROSIZ1MfKQyiRLw+Pg4ysrKQl6D4mJsbAz19fWidPH5A6vVisOHDyMhIQH5+fnsAcBgMLASM8nJyaLryzEMw0bDFRUVfpMKTdO48cYb8fHHH+ODDz6Q1JjAsYBlQyyDg4NoamrC6tWrsWLFCrhcLt48VGw2G0syZPCPFP57enowPT0tKateYK4+ILWNyF/Hx8XA9ZYh7n9arZZNmflTR/LWI5PSwBuZg5JarYe0Omu12qPmekiUSVJmADzqMkKmY4nN8fT0dEACnDRN46c//SnefvttfPjhh5LqBDxWIEli4doTE8ny/v5+lJSUIDExUdBJepL7Hx4ehsFggEKhQFZWFjIyMvyeLhcC3NkZqUVQvjo+Bgqu8u/U1BTrLbOUIyMZmCNtqFLSexoYGEBbW5vfxmFCg8yFkRTrYveSqy8ntMQMH6Tyi1/8Aq+88go++OADrFq1irdrkzEHSRMLsfI1mUwoKytDVFSUKPIsJpMJNTU1rGQ58WUICwtj02ViFJi9QVSTDQaDJNqJuSCDj/n5+aIUnYm3DFH+jYyMZEkmNjaWvTdkOpyiKJSUlIRcTJKLvr4+dHZ2oqSkBAkJCaG+HBZmsxmHDx9GampqQPJExIrBW2ImEOkfLhiGYf1nKioqAiKV22+/HS+88AI++OADNp0ug39IllhIHz9xelOr1aLIs5C6RXZ2NvLy8th1vAvMSqWSJRkx8sukGC411WRgccdHMeB0Oj1kTMi9iY+PR1dXFyIiIiQ1HQ64PdN7enpQVlYmqQYCMpSZlpaGgoKCoN8zkgEgBwDi+5OcnIyEhASf3xuGYdhDVUVFhd/PP8Mw2LNnD/7617/i/fffR3FxcSAfR4aPkCSxGAwGfPnll0hNTUVRURGAwIv0/mBgYACtra1L1i2IVMbo6CjGx8dZJ0biX8I3yUi1nZhhGPT29qK7uxsbNmyQRNsu8ZYZHh7GyMgIKIpCamoqW/wPNbmQZpChoSHe3SiDhclkwpEjRwQbyiT3hkSaTqfTJ4kZ0nSh1+sDJpXf//73+NOf/oT3338fGzZs4OPjyFgEkiSWqakpjI2NISsry8NDRaiogNRxhoeHsXHjRr/SElwJk7GxMfZl4WsjI+3ERBhRKu3EXLve0tJSyZiZAXNT66mpqUhLS/PwluEW/8WutZBh0bGxMZSXl0uqGYSQSmZmJvLz8wVP8/oqMcMllUDslxmGwcMPP4z7778fBw8eRHl5uRAfR4YXJEksNE3DbreLUk9xOp1sL7z3EJ+/YBgG09PTLMlYrVYPkvE3v0/Scjk5OcjNzQ154wAB6bCanp4W3K7XX0xOTqKmpmbe74zMMRFvmYVazIUAqQ8YjUZJ+dMDbiI+cuQIVqxYgfz8/JBcg8ViYUnGaDQiKioKSUlJMJvNmJqawqZNmwIilccffxx33XUX/vvf/6KyslKgq/fEPffcgwMHDqClpQURERHYunUr9u7d61HTYRgGd9xxB5544gkYjUZUVlbi0UcfPWZSdJIklrq6OrbgJySpWK1W6HQ6Vvabz8IuGS4jU//cVtmUlJQlT8ukbrFmzRpkZGTwdl3Bwp/BR7FBGggKCgqWnEvw9paJiopi7w3f3X+EiEkTipTqY0TVmRCxFOBwOKDX69HZ2Qmz2Qy1Ws1Gmd5q2QuBYRg89dRT+PWvf4033ngDJ554oghX7sY555yD7373u9i0aROcTiduu+021NfXo6mpiY1S9+7di7vvvhvPPvssCgsLcdddd+Hjjz9Ga2urpNKjgUKSxHLjjTfi8ccfR2VlJbZv347t27cjMzOT15dd7BST2WxmT8vT09OIj49nNzLuRsMwDLq7u9Hb2yuZugWBzWZDTU0NK5UulVoPAIyMjKCxsTGguR5vbxnuRhZsY4bL5UJdXR1sNpvkWp2JJpnUVJ0ZhkF7eztGRkZQVlYGu91+lMTMYlbZDMPg+eefx89+9jO89tprOPXUU8X/EByMj48jJSUFH330EU4++WQwDIOMjAzs3r0bt956KwD3u5Wamoq9e/fiuuuuC+n18gFJEgvDMBgcHMSBAwewf/9+HDp0CGVlZdixYwe2b9+OnJycoEhmfHwc9fX1ghhg+QKr1cqSzOTkJDuPkZSUhN7eXuj1epSWlkrq5ELEN+Pj44MefOQbZBZk/fr1SE5ODup3LeQt4y3I6Ovv0ul0cLlcKC0tlVSrMyGVUGmSLQTS3DA8PIyKigqPNCvXKnt8fBzT09Psu6PVatlI85///Cd2796NV155BWeccUYIP40bHR0dKCgoQH19PdatW4euri7k5+ejuroapaWl7N/bvn074uPj8dxzz4XwavmBJImFC4ZhMDIygldeeQX79+/HRx99hPXr17Mk40/3CsMw6O/vR0dHB4qLiyUhOGe321n9Mu5AZmZmZsi1mAjI4GNGRgYvLah8gWEY9PT0oKenR5BZEG9vGZvNxnYxLSVi6nA4oNPp2PkZKUV3pA6Vn5+P7OzsUF8OC6LjNjg4iIqKiiWbG7izTC+88AJeffVVlJaW4t1338W///1vXHDBBSJd+cJgGAbbt2+H0WjEJ598AgA4dOgQTjjhBAwODnqkua+99lr09vbiv//9b6gulzdInli4YBgGer0er776Kvbt24f3338fq1evZtNli9nJ0jSNtrY2jI6OoqSkRFKzA6TWo1QqkZ6eDr1ej4mJCVbxNyUlxWPoT0yIPfjoK0i6ZHh4WJS2XaKUTeoyRMSUtJlz05nECCssLExSlr2AW2+vpqbGpzqU2CDioL6Qijemp6fxhz/8Afv27YPBYIBarcb555+PnTt3hpRgdu3ahTfeeAOffvopKyxKiGVoaMgjbXvNNdegv78fb7/9dqgulzcsK2Lhgpwm//Of/2D//v04ePAgVq5ciQsvvBAXXXSRh1/E1NQUOjo6YLPZUFpaKqmOHDLlT/SYyDW7XC4270+8y7kDmWKQjFT1yLgKBOXl5SHpSiNdTCSdGR0dzd6blpYWREVFScoIC3DPh+l0OsmoJ3NBSKW8vDwgRYk33ngD3/ve9/C3v/0NO3bswBdffIH//Oc/mJ2dxSOPPCLAFS+NG264Aa+88go+/vhjj8YIORW2jDA9PY3XX38d+/fvx9tvv4309HRceOGFqKysxC9+8Qtceuml+NnPfiapPDfxd/Ge8vcGGSwjA5kURbEOmf5ML/sKKQ4+ErhcLtZ/QyodVt76ckqlEpmZmUhNTQ2J9M98IJL8RUVFkuoyBMBq31VUVAREKgcPHsRll12GJ598EpdccokAV+gfGIbBDTfcgJdffhkffvghCgoKjvrzjIwM/PjHP8Ytt9wCwP0MpaSkyMV7KcNkMuGtt97Ck08+iQ8++ABr1qzBSSedhJ07d2LTpk2SSE0QRVt/24m5svJjY2NwuVweU//BfjYpDz6SVmcpFsOJaKNWq0VSUhIrL0MOAUJ4y/gKks5cs2aNpCJPAGwHZHl5eUDpzA8//BDf/va38dhjj+Hyyy+XBIlff/31bM2HO7sSFxfHZkv27t2Le+65B8888wwKCgqwZ88efPjhh3K7sdRx4MABXHHFFfj1r3+NwsJCvPzyy3jttdcQGRmJCy+8EDt27EBVVZXoRVU+24mJqiwhmWBtmGmaRmNjI6ampiQ3+Gi321FTU8POHEmpGE6m1tPT0z2aGxbzlklMTBSFGEkHpBRJhTReBEoqn3zyCb75zW/iwQcfxFVXXSUJUgGw4HU888wz+N73vgdgbkDyL3/5i8eA5Lp160S8UuFwTBKL0+nEKaecgltuuQXbt29nf261WvHee+/hwIEDePXVV6FUKnHBBRdgx44dOOmkkwR/0WmaRktLCyYmJnhvJ17MhjkpKWnJ+QmuyKXU5i2sViuqq6slWbcgA4YrVqxYNJ3Jp7eMryDmYevWrZNEByQXvb296OrqQnl5eUBR8RdffIGLLroIe/bswfXXXy8ZUpHhxjFJLID7RV7sYXM4HPjoo4+wb98+vPLKK3A4HLjggguwfft2nHrqqby/6MQCgDQQCF0b8MeGWcqDj8Q4jAyySmkDIW27gQwYkoFZrrcMSZnxoSFGSEVq5mHAnF1AoKRy5MgRXHDBBbjjjjtw4403SuqZkOHGMUss/sDpdOLTTz9lScZkMuHcc8/Fjh07cPrppwfdRUY2brVajQ0bNoheG1jMhplhGFRXVyMuLg7FxcWSjAaEMg4LBqTDio+23fm8ZQjJBNJmPjo6ioaGBkmTSqB2AbW1tTjvvPPw85//HD/72c8k9UzImINMLF5wuVz44osvsH//frz88svQ6/U4++yzsWPHDpx11ll+nyZJOzEfVr18wNuGmWEYxMfHY82aNZIyDiMdc1KTGwHm6hZCdFg5nU7W94d4yxCS8aUDcHh4GM3NzbyoEPANMpwcKKk0NDTg3HPPxe7du3HbbbfJpCJhyMSyCGiaxuHDh1mSGRwcxJlnnokdO3bgnHPOWTKM97WdOBTQ6/XQ6XRITk4GTdPQ6/WIiIhgI5mYmJiQXS/ZuFevXo3MzMyQXMNCINGAGHUL4vtDDgI0TXsU/71TloRUpGZzDMzJ7pSVlSE+Pt7vf9/c3Ixzzz0X1157Le68805JvUsyjoZMLD6CpmnU1dVh3759OHDgALq6unDGGWdg+/btOO+8846aVyDtxEVFRZLbHMm1cQcfiQsjOSmHyoaZDGVKseA8NDSElpaWkEQDXEuG8fFxtjmDFP/Hx8fR2tqKjRs3SmruCAAGBwfR2tqK0tLSgGR32tvbcc455+CKK67APffcE/KoX8bSkIklABBvDUIyzc3NOO2007B9+3ace+65eOihhzAyMoL77rtPcifHnp4edHV1LboBESFGMpCpUCiQkpKC1NRUQW2Y+/r60NHRIcnNsb+/H+3t7SgpKYFWqw315bDNGaT4DwBZWVnIycmRVJs4IeNASaWrqwvbtm3Dzp078cADD8ikskwgE0uQIJpV+/btw/79+9HS0oKwsDD88Ic/xNVXX43U1FRJhO2BDj56p2OEsGEm4oMDAwMoLS2VlI4b4Cbj7u5ulJaWBpTGERL9/f1oa2tDVlYWZmdnYTAYWG+Z5OTkkKY0CakESsa9vb0455xzcN555+GRRx6RSWUZQSYWnmAymfCd73wH7e3t+OY3v4kPP/wQX3/9NbZs2cKKZGZkZITkJedr8NHbhtnhcLAkE6gNM9eut6ysTFINBAzDoKurC/39/SgrK5OUCgEw12HFJTziLUMm//n0lvEHpN4TaPQ5ODiIs88+G6effjr+8pe/yKSyzCATC0+46qqr0N3djQMHDiA+Ph4Mw2BgYAAHDhzAgQMH8Nlnn6GiooIlmWA9ZXwFd/CxtLSUt/kcMvBHBjKtVisSExPZgUxfWqoJ4RGLYymJg3IjvECFEYUEGTBcrMOKpDRJKzOJNgPxlvEHIyMjaGpqCphURkZGcM4556CqqgpPP/20JCSYZPgHmVh4wsTEBGJjYxd0tBsZGcHLL7+M/fv34+OPP8aGDRtYT5n8/HxBSIY7PyOkDAoxYCKRjMlkWtKGmeusyCfh8QGGYdDc3Ay9Xh8y9eTFQFJz/gwYesv/+OMt4w9GR0fR2NgYcGfa2NgYzj33XJSUlOBvf/ubpIZ1ZfgOmVhEBsMwmJiYYI3L3n//fRQVFbEkU1RUxAvJmM3mkA0+LmXDTEywAKCkpERSYpI0TaOpqQlTU1MoLy+XhHoyF0QJOJjU3HwHAXKPkpOTA44cSSv2hg0bAuqa0+v1OO+881BYWIh//vOfknouZPgHmVhCCIZhYDQaPTxl8vLyWE+ZQAlhenoaNTU1SEtLQ2FhYUibB7xtmKOjo2Gz2RAVFYXS0lJJpTlomvaQ5JdSFAW4PUv6+/sDFm1cCAt5yxB5GV+eHyIhEyipGI1GXHDBBVixYgVeeuklSWnVyfAfMrFICFNTU3j99ddx4MAB1lNm+/btuOiii1BSUuITyRDfjby8PMlNrBOJFoVCAbvdznYvpaSksH7loYLL5fKoRUlpY+Na9gpd7yHeMqT4r9FolpxnGh8fR11dXcASMlNTU7jwwguRlJSEV155RXKELsN/yMQiUZhMJrz55ps4cOAA3nzzTWi1WlbufyFPmfkGH6UCIi2fmpqK1atXHzWQGUobZqfTCZ1OB4ZhUFpaKqm8PsMw6OjowNDQkOhNBC6XC3q9ni3+E2+Z5ORkaLVaKJVKllQCHWidmZnBRRddhMjISLz22muiNnB8/PHHuP/++3HkyBEMDw/j5Zdfxo4dO9g/J9L2TzzxhIe0fXFxsWjXuFwhE8sygNlsxjvvvIP9+/fj9ddfR1RUFC688EJs376d9ZR58MEHkZ+fjxNOOEFyw4WTk5PQ6XQLSsvPZ8NMHDKFtmF2OByoqamBUqlESUmJpFJzZEaKdKbxoXocKIi3DEmZORwOxMTEYGpqCmvXrg1IM212dhY7d+4ERVF48803Rf98b731Fj777DOUlZVh586dRxHL3r17cffdd+PZZ59FYWEh7rrrLnz88cfHjBmXkJCJZZmBeMrs378fr776KlQqFQoKCtDQ0ICXXnoJJ5xwQqgv0QMkNbdq1SpkZ2cv+feJDTOpywjpwGi323HkyBFERERg/fr1kiOVtrY2jI2NSa4zjbTSt7a2QqPRwGazQavVstGMLw0PFosF3/rWt2C32/HWW2+FfKOmKMqDWIh98O7du3HrrbcCcHdZpqamHjP2wUJCJpZljNnZWVx44YU4fPgwUlJS2AIo8ZQJdZ2AdAkFmpoT0oaZmIdFR0dj3bp1khrAYxiGNYSrqKiQ1HwPMHdYIK6UZrOZjWR88ZaxWq245JJLMDk5iXfeeUcSSgvexNLV1YX8/HxUV1ejtLSU/Xvbt29HfHw8nnvuuRBd6fKAdJLJMvyC1WrFxRdfjMnJSbT9//buNCiqM+sD+L8RQRFF1gZUFgGVxYVlguJERAVFlkaNFeKMQkzUiaKDxMGKVTFYCRjc4hhjRoMTy0o0DrIZJ0awwEYElW4giiIxI4oo0BAWEYGG7vt+8L03IqjQ0vQFz6+KD95u4GDRfXju85xzfv0VxsbGyMnJQWJiItatW4fHjx9j4cKFEIlEmDdvXr8fm2W72ap6SggAtLS0YGRkBCMjI0ycOBEPHz5EdXU1fv31V64Ogy3I7M2+SEtLC6RSKTfKgA8td1hsDU1dXR0vkwrbsfvpUcd6enqwtraGtbU15HI5l2Ru376N4cOHw9TUFNra2rCysoJCocCKFStQW1uLjIwMXiSV7lRVVQFAl30joVCIu3fvaiKkAYUSywClq6uLhQsXYuXKldxthNmzZ2P27NnYt28f8vLykJSUhOjoaNTV1WHBggUICQmBr6+v2u9ll5WV4c6dOyo3HuyOQCCAgYEBDAwM4ODggEePHkEmk6GsrAzFxcUwNjbm6jBetFJrbm6GVCqFmZkZJk6cyLukcuPGDdTX18PDw4N3NTTscLNJkyY9dwWqo6ODMWPGYMyYMZ1my0RFRaG0tBRWVlZoaGhATk4OL5p5vsyzvx8vm0xLnqBbYYOcUqlEfn4+N1PmwYMH8PPzg0gkgr+/f5/e22Y3mysrK+Hm5tZv982fLvZramp67hjmpqYmSKVSjB07Vm3dDlTFMAzXz42PhZn19fUoLCxUeUbOo0ePsHr1ahQVFaGtrQ0tLS0ICAjAe++9hzlz5qgh4t6hW2F9iz83lnsoNjYWXl5e0NPTe26n2fLycgQFBWHEiBEwMTHBhg0bIJfL+zdQntDS0oKnpyd27NiB0tJS5OTkwMnJCfHx8bCxscHbb7+N77//Hg0NDXiVvzHYivXq6mp4eHj062bsiBEjYGtrC09PT8ycOROmpqaoqqrChQsXcOXKFdy9excymQwSiQTW1ta8G3OsVCpRXFyMhw8f8nKl0tDQgMLCQkyYMEGlpKJQKBAVFYWSkhLk5eXh/v37SE9Ph7W1NcrKytQQ8auztbWFubk5MjIyuGtyuRxisRheXl4ajGxgGHArlk8++QSjR49GRUUFDh8+jIaGhk6PKxQKTJs2Daampti9ezd+//13hIWFYfHixfjyyy81EzQPsX8hszNlSktLuZkygYGBMDIy6vGbL1ux3tzcDDc3N968MbKz5O/fv4+HDx9CV1cXY8eO5Qoy+YBNKuz/Hd+KA9mkYm9vj3HjxvX685VKJdavX48LFy4gKytLpa+hLo8ePcJvv/0GAHB1dcWePXvg4+MDIyMjWFlZIT4+Htu3b8e3334LBwcHxMXF4fz583TcuAcGXGJhHTlyBJGRkV0Sy5kzZxAYGIh79+5xZ+t/+OEHhIeHQyaT8a71OR+wR1uTkpKQnJyMX375BW+++SZCQkIQFBQEMzOz5yYZtntyR0cH7yrWgSfNQa9evQp7e3toa2tDJpPxZgzz0y1k3N3defd/19jYiIKCgldKKh9++CHS09ORlZXFu04Q58+fh4+PT5frYWFhOHLkCFcgefDgwU4Fki4uLhqIdmAZdIll69atSEtLwy+//MJdq6+vh5GRETIzM7v9RSJ/YGeQsHsyEokEM2bMgEgkQnBwcKeZMg8fPkRJSQm0tbXV2j1ZVWz/KmdnZ5ibm3PX2U3l6urqTjNLhEJhv41hZkddt7a2ws3NjbdJxc7Orkf1R89SKpX46KOPkJqaivPnz8POzk4NURK+GnB7LC9TVVXV5YigoaEhdHR0uCOE5PkEAgHs7OwQHR2N3Nxc/O9//8PixYuRlpYGR0dHzJs3D/v27cPFixcxffp0FBYW8q4NCvCkvU1xcTEmT57cKakAgLa2NoRCIaZMmQJvb29MmjQJHR0dKCwsRHZ2NtcyX6lUqiU2ti9ZW1sbL1cqbE+38ePHq5xUtm7diqSkJJw7d46SymuIF4klJiYGAoHghR8SiaTHX6+7vzjpmGDvCQQCWFlZITIyEmKxGOXl5fjrX/+K1NRUBAYGwtDQEE1NTbh9+/Yrbfz3tYqKCm564cuaIg4ZMgSmpqZwdnaGt7c3d5ujuLgY2dnZuH79OmpqavosyTzd7NLNzY13reGbmppQUFAAW1tbWFtb9/rzGYZBbGwsvv/+e5w7dw4TJ05UQ5SE73jxZ2ZERARCQ0Nf+Jye3p81NzfH5cuXO12rr69He3u7Sk3yyBMCgQCWlpbw8vLCtm3bsHr1ari4uCA5ORmxsbFwdHSESCRCSEiIRutD2MmKqtTQaGlpwdjYGMbGxpg0aRIaGxtRXV2Nmzdvor29nSvINDY2VmmFplAoUFRUBIVCATc3N96t8tjj2NbW1irthzAMgx07duCbb75BZmYmnJyc+j5IMiAMuj0WdvO+oqKCK+I6ceIEwsLCaPP+FSmVSri6uuIvf/kLoqOjAfwxUyYtLY279TF+/Hiu3b+Tk1O/tEthGAZlZWUoLy+Hq6trn1Z0s2OYZTIZqquruTHMbEFmT1YdCoUChYWFvOygDDw5IcUex7a1te315zMMg3/+85/YtWsXMjIy4O7uroYoyUAx4BJLeXk56urqcOrUKezcuRMXLlwAANjb20NfX587biwUCrFz507U1dUhPDwcISEhdNy4DzQ1Nb3wqGVjYyN+/PFHbqbMmDFjuCQzdepUtSSZp1vL90dhJlv139MxzOz+jUAg4N1wM+CPkQZs9+neYhgGBw4cQFxcHH7++Wd4enqqIUoykAy4xBIeHt5t1WtWVhZmz54N4EnyWbt2LTIzMzF8+HAsW7YMu3bt4l2NwGDX1NTUaaaMiYlJp5kyfZFkGIZBaWkp1wW4v1uvPzuG2cDAAEKhkBvD3NHRgYKCAl625QeedC2QSCRcN4LeYhgGCQkJ2Lp1K3766SfeddcmmjHgEgsf2NjYdGlEt3nzZnz++ecaioj/Hj9+jLNnz3IzZUaOHNlppowqb7hP99Zyd3fXeMPG1tZWrgFjfX099PX10d7ejmHDhsHNzY23SWXMmDEqtbhhGAZHjx5FdHQ0fvzxR+4PO0IosajAxsYG7733HlatWsVd09fX5001N9+1trbi3LlzSEpKwqlTp6Cjo4PAwEAsWrQIM2fO7NGeBVux/ujRI15V+7Oam5tRUFAAhUKBjo4OXo1hZuOTSCSwtLRUqcUNwzA4duwYNm7ciLS0NMydO1dNkZKBiF87iAPIyJEju9RHkJ4ZNmwYAgMDERgYiPb2dmRlZeHkyZN49913oVQqERAQgEWLFsHb27vbPQuFQoGrV6+ira0NHh4evKsDkcvluHbtGkaOHIkpU6Z0mpB5584d6OrqcrfL+nsMM/Bk9SiVSmFhYaFy37STJ09i48aNSExMpKRCuqAViwpsbGzQ1tYGuVyOcePGYenSpfjHP/7Buze4gaajowMXLlxAYmIi0tLS8PjxYwQEBEAkEmHu3LkYNmwYGhsbceLECUybNg2urq68qwNhp1Lq6elh8uTJXfaR2DnyMpkMNTU1GDJkCLeSMTQ0VHuSYZOKmZkZJkyYoNL3S01NxapVq3D8+HEEBwerIUoy0FFiUcEXX3wBNzc3GBoa4sqVK/joo48gEomQkJCg6dAGDYVCgdzcXK61TENDA+bOnYuSkhLo6+vj3LlzvE0qI0aM6NFUymfHMAPgkkxfj2EGngw4Y6eNqppUTp8+jXfffRdHjx7FkiVL+jQ+MnhQYvl/MTEx2LZt2wufk5+fDw8Pjy7Xk5KS8NZbb6G2thbGxsbqCvG1pVQqkZ6ejvDwcABP9mjmzJkDkUiEBQsW8KLTbFtbG6RSKUaOHAlnZ+deJwW2HkgdY5iBP5KKqampygWsZ8+exfLly5GQkPDSgmbyeqPE8v9qa2tRW1v7wufY2Nh0u0l8//59jB07FpcuXaIz/GpQWVkJX19fTJo0Cd999x1u3LjBtfu/e/cu5s2bB5FIhIULF/ZbE8mntba2QiqVwsDAAM7Ozq/8/RmGwcOHD7mCTHYMM1uQ2dviytbWVkgkEq6jgCrxZWVl4e2338aBAwewfPlyjR8+IPxGiaUPnD59GkFBQbh7965KTfvIixUUFCAhIQH79u3r9KbKMAyKi4u5JPPrr7/Cx8cHISEhCAgI6NVMGVWxb9qGhoZwcnLq8+/HMEyngszm5uYej2F+Oj4jIyM4OjqqFN+FCxfw1ltvYe/evVi5ciUlFfJSlFh6KS8vD5cuXYKPjw8MDAyQn5+PjRs3wsPDA2lpaZoO77XFFkqyM2WuXbvWaaaMqalpn78htrS0QCqVvtKbdm89bwyzqalpl9U0u5IaPXq0ykkvLy8PixYtwueff44PPvhA40nlwIED2LlzJyorK+Hs7Iy9e/fizTff1GhMpCtKLL1UUFCAtWvX4ubNm2hra4O1tTVCQ0MRHR0NPT29Pvs+9AJSHTtT5uTJk0hJSYFUKsWMGTMQEhKC4OBgWFhYvPIbJLtnYWJiovLtpVfV0tKCmpoaVFdXo7GxEaNGjeLmymhpaUEikbxSUpFIJAgODsa2bduwYcMGjSeVEydOYPny5Thw4ABmzpyJgwcPIiEhATdu3KA7BTxDiYWH6AXUdxiGQXl5OZKTk5GcnIy8vDy88cYbEIlEEIlEGDduXK/fMPviyG5fY8cwy2Qy1NXVQSAQQE9PDy4uLiodbigqKkJAQAC2bNmCTZs28eJn9PT0hJubG77++mvumqOjI0JCQrB9+3YNRkaeRYmFh+gFpB4Mw+DBgwdISUlBUlIScnJyMG3aNC7JjB8//qVvoM3NzZBKpTA3N4eDgwMv3nCfJpfLkZ+fj6FDh0JHR0elMczFxcXw9/dHVFQUtmzZwoufUS6XQ09PD4mJiVi0aBF3/e9//zuKioogFos1GB15Fi8GfZE/sLUQfn5+na77+fkhNzdXQ1ENDgKBAGPGjEFERAQyMzNRUVGB999/H9nZ2XB3d8fMmTMRHx+P0tLSbgeXsW1QLCwseJtU2CPPHh4emDZtGry9vWFnZ4fHjx9DIpEgJycHpaWlaGho6PZnLCkpQWBgINatW8ebpAI8ObWpUCi6zFQSCoU0GZaHqKULz9ALqH8IBAIIhUKsWbMGq1evRl1dHTdTJj4+HnZ2dly7f0dHRxQUFOC7775DRESESg0b1e15xZnsGGahUAiFQsEVZBYVFUEgEMDMzAy1tbXw9PTEnTt3EBgYiJUrV3JTXfnm2ZhoMiw/UWLhKXoB9R+BQABjY2OsXLkSK1euRENDAzdTZu/evTA3N0dtbS1CQkJ6dLusv7W3t6OgoIDbU3lecSY7htnU1BRKpRL19fWorKxEeHg4mpubMWrUKLzxxhv45JNP+mU4W2+YmJhgyJAhXf64kslkNBmWh/j120PoBcQDo0ePxvLly5GSkoL09HTU1NTAwcEBKSkpmDx5MrZs2YIrV65AqVRqOlS0t7dDKpVi2LBh3fYmex52DLOLiwsyMjJgZ2cHc3NzXL16FUKhEO+88w4kEomao+85HR0duLu7IyMjo9P1jIwMeHl5aSgq8jyUWHiGXkD8UVBQgODgYHz88ceQSqWorq7G7t27UVNTg5CQEDg5OSE6OhoXL16EQqHo9/jYlYquri6mTJmi0irj/v37CA4Oxp/+9CdcuXIFt2/fhlgshr29PeRyuRqiVl1UVBQSEhLw73//GyUlJdi4cSPKy8vxt7/9TdOhkWfQqTAeYo8b/+tf/8KMGTNw6NAhfPPNN7h+/Tqsra01Hd5ro6KiAj///DPef//9Lo+1trYiIyODmymjq6uLoKAgbqaMumfas5Mphw4dqvLI56qqKsyfPx8zZ87E4cOHeTeIrDsHDhzAjh07UFlZCRcXF3zxxReYNWuWpsMiz6DEwlP0Aho45HI5N1OG7b7AzpSZNWtWn49TYJOKtrY2pk6dqlJCkMlk8Pf3h6urK44ePar2REheL5RYSLednekUmmo6OjqQnZ3NzZRpbW1FQEAAQkJC4OPj88qTLjs6OlBYWIghQ4aonFRqa2sREBCAiRMn4vjx47wbP0AGPkosBDExMTh58iTOnTvHXWNPEBHVKRQKXLx4kZsp09jYCH9/f4hEIvj6+va6BZBCoUBBQQG0tLQwbdo0lZJKfX09AgMDYWVlhcTERBpOR9SCEgtBTEwMUlNTUVRUpOlQBi2lUonLly9zSaa6uhrz58/nZsro6+u/8PMVCgUKCwsBAK6uriollcbGRgQFBcHMzAwpKSnQ1dVV6Wch5GXoVBgBANy6dQuWlpawtbVFaGgobt++remQBhUtLS3MmDEDu3btwq1btyAWizFhwgTExsbCxsYGoaGhOH78OBobG7tUxCsUCi7pq5pUmpqasHjxYhgaGiIpKYmSClErWrEQnDlzBo8fP8aECRNQXV2Nzz77DDdv3sT169dpIqaasTNlEhMTkZycjFu3bnHTMQMDAzF06FCsWrUKK1asgJ+fn0qb7M3NzViyZAm0tLTw3//+FyNGjFDDT0LIHyixkC6am5thZ2eH6OhoREVFaTqc1wbDMLh58ybX7v/atWuwsrKCtrY2/vOf/8De3r7XVf8tLS1YunQp5HI5zpw5w4sxzmTwo8RCuuXr6wt7e/tOHZZJ/2ltbcWCBQtQVlYGS0tLSCQSeHl5QSQS9XimTGtrK9555x00Njbi7NmzMDAw6KfoyeuO9lhIF21tbSgpKYGFhYWmQ3ktKRQKLF26FC0tLbh69Spyc3Nx69YtiEQiJCcnY9KkSfDz88OXX36J8vLybrsUy+VyrFixArW1tThz5gwlFdKvaMVCsGnTJgQFBcHKygoymQyfffYZxGIxrl27RpX+GnL48GEsWbIEo0eP7nSdnSmTnJyMpKQkXLx4Ea6urtxMGVtbW3R0dCAsLAxlZWXIzMykfTLS7yixEISGhiI7Oxu1tbUwNTXF9OnT8emnn8LJyUnToZEXYBgG1dXVSE1NRVJSEsRiMRwdHaFUKtHR0QGxWAwzMzNNh0leQ5RYSL/Jzs7Gzp07IZVKUVlZiZSUFISEhHCPMwyDbdu24dChQ6ivr4enpye++uorODs7ay7oAYJhGNTV1eHYsWOIj49HdnY2xo8fr+mwyGuK9lhIv2lubsbUqVOxf//+bh/fsWMH9uzZg/379yM/Px/m5ubw9fVFU1NTP0c68LAzZdavX4+KigpKKkSjaMVCNEIgEHRasTAMA0tLS0RGRmLz5s0AnhwiEAqFiI+Px5o1azQYLSGkN2jFQnihrKwMVVVV8PPz467p6urC29sbubm5GoyMENJblFgIL7CdlJ+dkkldlgkZeCixEF55tuiPYRjezZgnhLwYJRbCC+bm5gDQZXUik8m6rGIIP8XGxsLLywt6enpd6m9Y5eXlCAoKwogRI2BiYoINGzbwbgQyeXWUWAgv2NrawtzcHBkZGdw1uVwOsVgMLy8vDUZGekoul2Pp0qX44IMPun1coVAgICAAzc3NyMnJwQ8//ICkpCR8+OGH/RwpUTeaR0r6zaNHj/Dbb79x/y4rK0NRURGMjIxgZWWFyMhIxMXFwcHBAQ4ODoiLi4Oenh6WLVumwahJT7FTSI8cOdLt4+np6bhx4wbu3bsHS0tLAMDu3bsRHh6O2NhYjBo1qr9CJWpGiYX0G4lEAh8fH+7fbOfksLAwHDlyBNHR0WhpacHatWu5Asn09HTqyDtI5OXlwcXFhUsqADB//ny0tbVBKpV2+t0gAxvdCiP9Zvbs2WAYpssH+xeuQCBATEwMKisr0draCrFYDBcXl1f+vtnZ2QgKCoKlpSUEAgFSU1M7PR4eHg6BQNDpY/r06a/8fUlnVVVVXfbLDA0NoaOjQyf/BhlKLGTQe1nFPwAsWLAAlZWV3MdPP/3UjxHyV0xMTJek++yHRCLp8dfr7oQfnfwbfOhWGBn0/P394e/v/8Ln6OrqcifTyB8iIiIQGhr6wufY2Nj06GuZm5vj8uXLna7V19ejvb2dTv4NMpRYCAFw/vx5mJmZYfTo0fD29kZsbCx1BgZgYmICExOTPvlaM2bMQGxsLCorK7lZP+np6dDV1YW7u3uffA/CD5RYyGvP398fS5cuhbW1NcrKyvDxxx9jzpw5kEql0NXV1XR4A0Z5eTnq6upQXl4OhUKBoqIiAIC9vT309fXh5+cHJycnLF++HDt37kRdXR02bdqEVatW0YmwwYYh5DUCgElJSXnhcx48eMAMHTqUSUpK6p+gBomwsDAGQJePrKws7jl3795lAgICmOHDhzNGRkZMREQE09raqrmgiVrQioWQZ1hYWMDa2hq3bt3SdCgDypEjR55bw8KysrLC6dOn+ycgojF0KoyQZ/z++++4d+8etw9ACOkdWrGQQe9FFf9GRkaIiYnBkiVLYGFhgTt37mDLli0wMTHBokWLNBg1IQMXDfoig9758+e7reoOCwvD119/jZCQEBQWFqKhoQEWFhbw8fHBp59+inHjxmkgWkIGPkoshKjJ9u3bkZycjJs3b2L48OHw8vJCfHw8Jk6cyD2HYRhs27YNhw4d4trYfPXVV3B2dtZg5IS8GtpjIURNxGIx1q1bh0uXLiEjIwMdHR3w8/NDc3Mz95wdO3Zgz5492L9/P/Lz82Fubg5fX180NTVpMHJCXg2tWAjpJzU1NTAzM4NYLMasWbPAMAwsLS0RGRmJzZs3AwDa2togFAoRHx+PNWvWaDhiQlRDKxZC+kljYyMAwMjICMCTQwRVVVXw8/PjnqOrqwtvb2/k5uZqJEZC+gIlFkL6AcMwiIqKwp///GeuYzPb0ffZPllCoZC6/ZIBjY4bE9IPIiIicPXqVeTk5HR57NnOvgx1+yUDHK1YCFGz9ev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- "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T17:16:26.325065\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Euler's method for training - benchmark time" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch: 0\t Loss: tensor(1.2093, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(11.9404, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(10.5588, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.4382, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.1849, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.7062, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(15.4156, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.9210, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.1927, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(8.8946, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(19.8962, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5725, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0562, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.5613, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(23.4593, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6274, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0077, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.4414, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(25.6629, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7141, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0116, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3946, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(25.9312, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6659, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(0.0058, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3654, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.1409, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7030, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0102, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.4023, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.4010, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7990, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(0.0055, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3004, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.6028, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6603, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0035, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.2848, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.7734, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6892, requires_grad=True)}\n", - "Time elapsed: 275.59698009490967\n" - ] - } - ], - "source": [ - "start = time.time()\n", - "\n", - "ode_solver_train.fit_random_sample(\n", - " result,\n", - " torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=10,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [5],\"gamma\": 0.2}\n", - ")\n", - "\n", - "end = time.time()\n", - "print(\"Time elapsed: \", end-start)" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(10.2848, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(26.7734, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(2.6892, requires_grad=True)}" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Runge-Kutta method for training" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch: 0\t Loss: tensor(0.1864, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(8.5778, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.2335, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(1.8332, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.1115, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1605, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(22.1723, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.9570, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0108, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.4601, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(25.7092, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7110, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0009, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3885, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.4616, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6041, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(6.4546e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1443, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1095, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7479, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(3.7090e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1081, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1261, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6998, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(5.6099e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0971, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1131, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6914, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(2.8364e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0862, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.0929, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7032, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.3191e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0769, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.0706, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7000, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(1.2478e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0535, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.0544, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6995, requires_grad=True)}\n", - "Time elapsed: 302.162636756897\n" - ] - } - ], - "source": [ - "start = time.time()\n", - "\n", - "ode_solver_train.fit_random_sample(\n", - " result,\n", - " torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=10,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [5],\"gamma\": 0.2}\n", - ")\n", - "\n", - "end = time.time()\n", - "print(\"Time elapsed: \", end-start)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(10.0535, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(28.0544, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(2.6995, requires_grad=True)}" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ode_solver_train.coeffs\n", - "\n", - "# The parameters are significantly closer, differing by 0.06 at most" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Predictions for nt = 10000" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1754e-01, 2.6679e-01, 1.2654e-03],\n", - " [ 8.6738e-01, 5.1253e-01, 4.6595e-03],\n", - " ...,\n", - " [-5.4541e+00, -8.4214e+00, 1.7792e+01],\n", - " [-5.7615e+00, -8.9102e+00, 1.7798e+01],\n", - " [-6.0874e+00, -9.4245e+00, 1.7859e+01]], grad_fn=)" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", - " ax = fig.gca(projection='3d')\n" - ] - }, - { - "data": { - "image/png": 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", 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"text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Lorenz63_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"sigma\": 10., \"rho\": 28., \"beta\": 2.7},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"sigma\": 10.0535, \"rho\": 28.0544, \"beta\": 2.6995},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_test = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(0.0505, grad_fn=)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result_test)" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" - }, - "kernelspec": { - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb b/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb deleted file mode 100644 index 6658555e..00000000 --- a/examples/ode/lorenz63/Lorenz63_Euler_Train_fitRandomSample_RK4.ipynb +++ /dev/null @@ -1,704 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3\n", - "\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "source": [ - "# Euler's method - Data Generation for nt = 1000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [9.0000e-01, 2.8000e-01, 0.0000e+00],\n", - " [8.3800e-01, 5.2920e-01, 2.5200e-03],\n", - " ...,\n", - " [2.8109e+00, 4.5452e+00, 1.5969e+01],\n", - " [2.9843e+00, 4.8379e+00, 1.5666e+01],\n", - " [3.1697e+00, 5.1576e+00, 1.5387e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 15 - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Euler's method for training - benchmark time" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" - ] - } - ], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"euler\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(2.1258, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.9875, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(9.4151, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(11.2221, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(2.4854, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(8.9979, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(13.1528, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(6.7183, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0670, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.7091, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(16.6104, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.8756, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0001, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.2568, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(19.2346, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6153, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0047, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1577, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(21.0428, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.4078, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.1226, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9843, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(22.8022, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5624, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(0.0098, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9743, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(25.1578, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7153, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(2.3401e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9913, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.5359, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7329, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(1.3627e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9925, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.5330, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7013, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(8.2589e-07, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0167, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9302, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6937, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(8.4879e-06, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0110, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9532, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6947, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(1.1533e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0038, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9606, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6960, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(2.5021e-06, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9988, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9662, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6974, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(2.5532e-07, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9989, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9706, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6984, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(1.5852e-07, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0006, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9749, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6991, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(1.0941e-08, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0004, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9784, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6995, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(4.2036e-09, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0003, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9811, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6997, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(4.0390e-07, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0000, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9836, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6999, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(7.6960e-08, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9999, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9863, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6999, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(2.8299e-08, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0000, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.9884, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7000, requires_grad=True)}\n", - "Time elapsed: 104.24443912506104\n" - ] - } - ], - "source": [ - "start = time.time()\n", - "\n", - "ode_solver_train.fit_random_sample(\n", - " result,\n", - " torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=20,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", - ")\n", - "\n", - "end = time.time()\n", - "print(\"Time elapsed: \", end-start)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(10.0000, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(27.9884, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(2.7000, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 19 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" 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0NPRf3aVTEZdLiCRJ5OXlYTabHTPt2t5wJSUlgOzT8LSvvTu84XPJzMwkMTGR0NBQzGZzjYTFjqtjqVhNuLi4mJycHHJzc0lNTUWlUpULDqjteamKhjJwXKoMfU8SOu0dOu2C42yF4m2HvrdxJjb2xnB9+vRxvP9vbAmtiMslwp5BfPbsWYqLi+nRo0et9idJEmfOnOHIkSMA9OjRwysDaG3MYmXzaaKjo/H39ycnJ6dWx+LpdnZ/QERERDkTzblz50hOTkav1zuEpr71tb+UXK7yL84SOu1ik5qaysGDB50mdNa1Q9/b2Cdn9mCUf3OXTkVc6piK7YfVanWtfRoV+9rv3bvXa07lmprFjEYjCQkJWCwWRz5NYWHhZcnQr2iicdbX3t/fv1xwwOVOFrxU1JfaYlqtlsaNG9O4cWOgfIdOu08tICAAs9mMj48PNputwVyjssfqyoxWUWyuxMZpirjUIc5yV2orLvn5+SQkJGAwGBg8eDB6vf6yF5vMzs4mISGBRo0a0adPH0cUlzeqInuDirNms9ns8NckJydjMpkcyYKhoaEEBARU6+H+N0SL1TWuEjqPHTtGRkYG6enplz2h01PcRbi5Eht7xWe4clpCK+JSB7jLXalpiXxJkjh58iQpKSmV+trXpux+RapjFitbXblz5860aNGi0sDlauD1dICri4Fbp9PRtGlTmjZt6rL7Y9kop7rI37hc1FdxqYjdp3b27FlatGhBYGDgZU/o9BR7BKgnOBMbZ106P/zwQ0aMGMHgwYPr7Li9jSIuXqZsCReoHMqoUqkcKxlPsYfzFhQU0LdvX0f2etl9ektcPF0Fmc1mEhISKC0tdVpdGerPyqWq76iYLFhUVEROTo4jf0Oj0TgGsdDQ0BqF1NYXGoq42LGvAupDQqen1MaEZ/fH2LGLzYoVK2jTpo0iLv9WyuaulJ2NlKW6ZrHc3FwSEhIICAggJibGqSP6Ulcyzs3NJT4+3tFkzFUyY0OsiiwIAgEBAQQEBDjyN+whtWfPniU5ORmDwVBuZWP/XEOgIYpLxeO9XAmd1Tlmb/mH7GJTXFyMn5+fV/Z5qVDExQtUJ3fF01WGJEmkpqZy/Phx2rdvT+vWrd3u05s+F1fHJ0kSaWlpHDt2rMpjsu/L/jlnA4Qnx3K5/Rn2kOaQkBDatGmD1Wp1zJjtUU72TG6DwVAvKgm7oyGKS1UmpuomdAYHB9dpaHp1zGKeIEkSJSUlVRadrW8o4lJLPO27YscTcTGZTCQmJlJcXEz//v0JCgpyu31dmMUqDkIWi4XExEQKCgro168fwcHBVe6rtoNYfRwENRpNpSin+Ph4rFYrhw8fxmKxVAoOqE+/40oUl4p4ktCp1+vLrWw8SeiszjF7O9Td3nunIaGISy2w565UJ9O+KiHIzs7mwIEDhISEOPra13af1cHZb8jPzyc+Ph5/f3+Xpjl3+6rNgHa5Vy5Vodfr0ev1NG7cmPDwcEpKShwrm1OnTgGyL8Ae9uzr63tZB/eGJi7eyNB3l9B5+vRpR0JnWZ9NbUrOeHvlAoq4/GuomLtSnUx7V0IgiiLHjx8nLS2NTp060bJly2olEXrTLGY/HpVKxenTp0lOTqZt27ZERUVVa2AqKy4Vsa+Oqvp8fReXsgiCgJ+fH35+frRs2dLhC8jJySErK4tjx46h1WrLBQd4c8bsCQ1NXOoiibKmCZ2e4u2cHJvNhtFoVMTlSqe6ZrCKOIsWsycgms1mBg4cSEBAQLWOydtmMZAfuOTkZHJycujTp49j1lcd3InLlYaze6CsLyAyMrKceebMmTMcPnwYX1/fcpUDLkWl54YmLnWd4+EsodMuNmUTOj3t0OntSs5FRUUAirhcyVSn/bArKkaLZWVlceDAAZo0aVIuAbE61IVZbNeuXfj4+BATE1Pj2XVtxaWhrVyqoqx5pm3bto4Zc05ODsePH6e0tNQxiIWGhhIUFOT1gbUhrlwudQKhXq935EFB9Tt0etssVlxcDCjickVSMXeltiXy7Wa1lJQUTp8+XWVfe0/26S1xycjIAKBx48Z06tTJKxWbayMuDYGa/r6KM2aj0eioHJCUlITVavV6G+iGJC72e/pyZ6dXt0Ont81ixcXF+Pj41Jv+RZ7SsI72MmDPXbHf6LWtZmp/UHbu3IkkSR71tfdkn7UVl7ItiIFq+1ec4Q2z2JW0cqkKHx8fmjdv7hjESkpKHJWenbWBrknuRkMSF/u1v9ziUhZnSbcVEzqtVisnT57EaDR6JaGzuLj4sgeC1ARFXFxg963k5eXh7+/vteY/WVlZAAQEBNClSxevzHBqaz4q24I4JiaGzZs3e2Ul9G9ZudQFZYMDXLWB1ul0DqHxpA20sxDz+kzZCV19xVlC59atW/H39/daQmdRUVGDS6AERVycYheW/Px8du3axdVXX13rG7xsX3uADh06eG3pXJuVi7MWxN7ydSgrF+/hrA20s3BaT9pA1+fBuiz1xSxWHezntkWLFgQEBFRK6ExJSXFEDNpNaVUldNrDkBvKdbOjiEsFypZwsTvfa3tR7SsDlUrFoEGDiI2NrXZ9MXfURFxEUSQ5OZn09PRKLYgvRZXlhpKh7ymX+sFXq9WEhYURFhYGyNF9dn+NqzbQl+tYa0pDWLk4o6zPxV1Cp72cUFUJnSUlJcrKpSHjrISLRqNxFI6r6ewpPT2dQ4cOletr742eLmWprriUlpYSHx+PJEnExMRU6hTp7byZK90sVh8EUKvVOm0DnZubS2JiIqIoOio9FBcXo9Vq6/359UYb8EtNVeOFq4TOvLw8xwrU19fXEfKsUqm8bhabNWsWr776arnXmjZt6gjmkSSJV199lU8//ZTc3FwGDBjAhx9+SHR0dLW+RxEXXOeu2G+QmoiLvRxIZmYmPXv2dEQE2ffvTXGpzgBub0HcrFkzOnXq5NQ0d6kLYbqjPgzcDRFnbaAvXLhATk4OCQkJDj/ApWoDXRO8kZ1/qbE/N56avN0ldG7dupWpU6cSERGBTqdj9erVDB061GkF8uoSHR3N+vXrHf9f9njnz5/Pu+++y1dffUWHDh2YPXs2o0ePJjk5uVo5eP96cXGXu2I/4TabrVphgIWFhcTHx6PT6Rg8eHClEu3eFhdPyvhXbEEcHh7udn91uXKRJIlTp06Rl5dHWFiYy9pODWnGWp+xO531ej0nTpxg8ODBjgin+twGuqG1OAbKTVBrQtnw9A4dOtC/f3/mzZvHtm3beOqpp0hLS6Nfv36sWLHC0VitJmg0GqeflySJBQsWMHPmTCZMmADAkiVLaNq0Kd9//z0PPfSQ599R46Nr4JTNXXFVwsX+/576R8r2tY+MjKRt27ZOb7K6EBd7YyFnOGtB7I66XLlYrVYSExPJz8+nUaNGDlOAvdxGaGhoubbDysrFe9jPpVqtbhBtoC9HAmVtqa24VCQiIoImTZowfPhwFi9ezKlTp9i0aVM5S0hNSElJITw8HL1ez4ABA5gzZw5t2rQhNTWVjIwMxowZ49hWr9czfPhwtm/frohLVThrP+yqfIen/hGLxUJSUhK5ubn07t3b4Wh1Rl2YxVztz1ULYnfU1cqlsLCQ/fv34+vry8CBAx3fVbbt8JEjRxyVhQ0GAzabrUGEz9b344OL4lLxWOu6DXRNaYjiYi/94s37oWwvl4iICKZMmVKr/Q0YMICvv/6aDh06cP78eWbPnk1MTAxJSUkOv0vZAB/7/9ubsnnKv0pc3LUfdoVara5y5WKvGuzr6+tRuZS6WLk4Mz3ZWxBf7kKYkiRx7tw5Dh48SGRkJO3atUOSJEfPcGdth+35HGazma1btzoGtobeCfJy4kpcKlJf2kA3RJ9LXVVErk0Fj4pcd911jv/u1q0bgwYNom3btixZssQx6at4PWsywfvXiEtFp72nmfbuhKBsX/vqVA2uC3Epuz+z2cyBAwcoKSlx2YLYHd40iwGkpaVx4cIFevTo4YhmciVeZTOg/f39OXjwIF27diUnJ8fhHzAYDA6hqW7F2rqgoZjuajJAOMtILyoqKtf1sa7aQDfElYu3S78Add4ozM/Pj27dupGSksL48eMBOf+tefPmjm0yMzMrrWaq4l8hLmVzV6ob2uhq5WI2m0lMTKSwsNBpX3t3eOKArw5lxaVsC+JBgwbVqC+Ft8xiRqMRi8VCQUGB05DnqrBPAOz+AcDRCbJiPoddbC6VyaYh4g3zoiBcbAMdERHhtA20j49PueCAmvZGaYgOfW9XRAbqvMWxyWTi8OHDDB06lKioKJo1a8a6devo1asXII91mzdvZt68edXa7xUtLtVpP+wKZ6sMe1/7wMDAajXPsuPtPBdBELDZbKSmpnrcgriq/dVWXHJycoiPj0cQBDp16lRtYbFT8TgqdoK0m9DsmepAuRDbmn7vlUhd+K6ctYG2V3q290apWOnZ08G3oa5cvH3MRUVFXl25PPvss4wbN46IiAgyMzOZPXs2BQUF3HPPPQiCwLRp05gzZw7t27enffv2zJkzB19fX+66665qfc8VKy617btip+zKRZIkTpw4wYkTJ+jQoQMRERE12qe3zWL2plQlJSWOFsSSBOfOQWqqwIkTAmlp8nEGBUFgoERwsPxvUBAEBdn/Ba22dmYxSZJIS0vj2LFjdOzYkdTU1Bo/bJ6cW4PBQIsWLRwmm4r1t+whtnaxqU2HwYbOpQiMqBgcYDKZHCvN6raBbqjiUhdmser2eHLHmTNnuPPOO7lw4QKNGzdm4MCB7Nixg9atWwPw/PPPU1payqOPPupIoly7dm21j+GKFJeatB92hV1cTCYTBw4coLS01KO+9u7wlriYzZCUVMS6dXmcPRuBRtOBDz9Uc+KEQGqqQElJ9X+3wSBhMAwkJEQgLExDVJTEoEEiAwdKdO0q4c69YbVaOXjwIHl5eQ6RO3Xq1CXr51KxOVfZEFv7LNpuQiubAe0NGoL55nJE3en1epo1a0azZs3KBWt40ga6ITr068os5s0V+NKlS92+LwgCs2bNYtasWbX6nitKXGrTftgVKpWKgoICjh49SlhYGL169aq1A7mm4lJYCL/+quKXX1QcPixw+rSAKIYBzsOeVSqJli2hTRuJqCgJtRry86GgAPLzhX/+W/63qEg+T6WlAqWlenJy4Phx2LULli2THxZ/f4l+/SQGDhQZNEikf395BQTy0n3//v2OBmNlTYWXK0Pf2Sw6JyeHnJwczp496+jDYV/Z1LSs+ZXs0PcmZYMDPGkDbTabG5y4eNssZq+u4M2Vy6XiihEXT3NXqrvPkpISLly4QHR0NC1atPDKw1kdcbHZYMMGge+/V7NyparSasTHRyIiwkqjRnn07RtCmzbSP38QESHhqTvIarWLDuzYcRiNphE6XVMOHhTYsUPFzp0CBQUCGzcKbNwoPzyCINGli0T37sU0bXqaUaNaMXhwa1Sqi8dYmwfN2wOhXq8v1y+luLiYnJwcR9STfWCzi019yFL3JpdbXCpSVRvowsJC1Go1R48evaRtoGtDQ3To1xX1+0p5gD135cyZMxiNxlo5sstiz2o3mUy0atWKli1beuFoZTyJFktKEvjuOxVLl6o5e/bi72nTxsawYWn07VvE6NFtiIjQkZ19wRHtYSc/H/buFUhKEsjJEdDpQKeT0Gr557/L/2m1kuO/NRro2bOU9u1FbroJwIbNBocPC8TFyWKzY4fA8eMqkpIEkpICgJ4sWABNmkiMGycyebKNAQPkGX1tTIB1tSoo24cjIiLCMbDl5ORw6tQpR9UAu9BUxxFdX6lv4lKRim2gU1JSKCoqcuRsXYo20LWlLnwuysrlMlC2hEtJSQn5+flERkbWer/24o5NmzbF19fX67MlV+HN58/Djz+q+e47FfHxFx+akBCJ224TGTMmA612P1FRkbRr1xFBECgthaQkHevXN+XPP9X/DPYqzpypzSDSE61WonNniZ49JXr2FOnRQ6J7d9nv8sADIiaTiQ0bkjhwwJcLFzqwZ4+evXsFMjMFvvhCzRdfqGnXTmT48Nbcf7+ampRBupQDYcVqtWaz2eEbKOuItm9Tsb9GfR607dR3camI3YzWsWNHwHkbaPs1CQkJcRsccKnwtlnMYrFgNpuVlculpGzuiiAIaDSaWjvJ7T1Ozpw54yjuePjwYa/mpED5WmAmE6xapeK771SsXavCZpMfDq1W4rrrRCZNEhk92sKJE4c5ezaT3NyB7NgRzKFD8qrk+HEBUWwMVK411KKFRHS0RLNmEhYLjj+zGcxmAbO57P9ffP3CBRtFRRoOHBA4cAC+/lqeiQmCRLt2El26mAgNPUfPniFMmdKK5s1VgAWTCbZulU14K1aoOHZMxbFjbVi8WGLECIm777YxfrxIdZ6Ty+XP0Ol05RzR9pbDOTk5pKWloVKpHELjzci/uqShiUtFh/6laANdW0RR9Ko5taioCEBZuVwKXOWuqNVqrFZrjfdbUlJCfHw8ADExMY6ZglqtdlsUsibYfS6xsQIPP6zh+PGLD1C/fiKTJtm45RaRRo3kJfHatYf5888WrFvXi7NnK8+KQkJEWrbMZfDgYKKjRaKjZV+I3dleXRISDlBQEExubiT79wskJAgkJKhITxdISRFISTEA8mzyqaegVSuJG24QueUWGyNHSowaZWXBAlixQsVHHxUTHx/s8NU89ZTEhAkikyZZ6dcP3E3y6stA6KzlcEFBATk5OaSnp1NUVERKSgp5eXn1pmqAMxqauIii6LabprM20PaOjzVpA+0NvL1yKS4uBlBWLnWNu9wVT2qAueLcuXMkJSURHh5Op06dyt0carUao9FY+4MvQ2mphnnzIvjlF/lmb9pU4p57bEyaJNKxozxTt9nghx/y+OQTid27YxBF+Xc2bixx7bUi3bpJdOkiC4mfXyG7du3k6quv9srxqVQCzZqZGDpU5MYb5desViuxscns3WujpKQTR4/6Eh8vcOyYitOnBT7+WM3HH6tp0UJi4kQbEyeKTJ4s0qlTIpLUmvXrw/n2WzWpqQJff63m66/VtG6t5c47LTzwgIXGjZ13q6yPkVhluwu2adOGXbt2ERISgs1m4+jRo45Cj2WrBtSHQb0hiounx1u2DbQ9OKCmbaBrg7d9LiUlJfj6+jZIf1+DEZeqcldqIi42m40jR45w7ty5Sq1+7Xg74XHdOoGHHori7Fk5me+++2zMnWt1rDIyMuCrr1QsWiRx7tzF4xk2TGTqVBs33SRSsS5mcXHdNh8rLi5m//79+PnpeOKJHuj1OkBeJRYWwtatKn7+WcWqVfLq5v33Nbz/vhytNnhwFLfdBjNm2Jgxw8a2bQLffqvml19UnDyp4s039bz3no7//MfCU0+Zadq0cgHO+o4gCAQFBZXrAmk3odlzOcpGoV2uxlwNUVxqugqoSRtob6w4vB0tVlRUVOMQ+ctNvRcXT3NXqisuRUVFxMfHo1arGTx4sMsHvjYrorLk5MDzz2v49lv5xmve3MgXX6i46ioJUZTDjT//XM1vv6mwWuXfFxwsz/6nTr24onGGtwtNlq0tdv78eRITE2nVqhXt27ev9AAGBMB114lcd52I0Qjr16v46ScVq1erOHVK4NSplvzwg5xrM3GibO77+GMrb78tsmKFxCef6Nm7V83ChTo+/1zLffdZmDbNTPPmDWsgLEvFqgF2E1pGRgZHjx511N6ym9AuVdWAf5O4VMSTNtDBwcGOkOeKARueUhdmsYZoEoN6Li7VKeFSHRGw97WPiIhwOmCWxRtFJn/9VcVTT2k4f15AECTuuaeAO+5IZPjwfixdqmL2bDXHjl08hu7di3j8cS233gqeTHLtx28fPAoKIDdXTpDMyyv7L+TlCeX+NZmgWTPZ+d+ypUSLFhJmsw+NG5tITk7m9OnTdO3a1aOudz4+cMMNIjfcIFJaCn/9peLTT/OJiwvlxAkVb72l4a23oFcvkaeftnLzzaXcdpuN9evVvPmmnt271Xz8sY7Fi7Xcc4+FRx81l/td9RlXx2df1QQFBZVrzJWTk1MuvNYuNt6aQTujIZzHsngzQ99ohLNnBc6dk1fX584FkpERTNu2rbnmGgshIUWO4AB7yaKatIGui5VLXbU0qGvqrbi4az/sDE/ExWq1cujQIS5cuFCpr727/dZ0VXD+PDz9tIbly+WbrUMHkUWLrERF5REfD5MmXXzPz8/G8OGneewxDaNGVa/LXG6uiu3bm/P772o2b1aTklLbB7IzAAEBFlq37kKrVoIj03/YMJGePeVsf3cYDDB+vEhERAoGQyOSkiL5+WcVf/6pYv9+FVOm6IiMVPPEExbuvtvC+vUlbNyo5s03dezYoeHTT3V89VUoV13VnbZt4Z+yRw2eilUDjEajY1Czz6ArFt701sDS0MSluiuX7GxYv15DaqqKs2cFzp61/yuQk+NuPz506+bLtdeGct11VgYPtlJUVFCjNtB14XNRVi5eomzuCnieaW8PRXb1ABUUFJCQkIBerycmJsbjnhM1MYtJEnz/vYrnntOQkyOgVktMn25j5kwbPj7w44++PP10P7Kz1Wg0ElOmnOTmm9MYNKibR9VPi4pg2zYVmzbJEVgJCTokqX+5bXQ6OVosKMhepBKCgyXHv/aClRoNZGQInDkjkJ4ucPKkyJkzctBBYaGWgwfh4MHy3x8SIovMyJEiI0dKdOgg4eoSCYKAwSByyy3y34UL8MknsvM/LU3NM8+omTtXx8MPW3jgATN//VXKli2yyGzbpmHNmij+/lti8mQL06ebiYiofz6Y2viFfHx8CA8PJzw83NErpWI5lLKFN2sT8dQQxaWq483KEvj9dw2//qphyxa1I5TfGQaDRPPmEi1aiDRvLtGokcS+fSp27VKTmCj/vfWWniZNRK65xsCNN4YxZowNm83zNtDeNot5uyLypaReiYs9d8W+UvC0oRdcNA3ZbLZyUSCSJHH69GmSk5OJioqibdu21XrAquvQNxphyhQNv/0m32w9eoh88omVXr0kiovhqac0LFokr0zatbPwxBO7GDRIR5cu/VxGr0gS7N4t8NdfKjZuVLF7t4DFUv43tGpVwNixeq6+WsWQISLVaC/zz3dcPE/BwcFYrX4EBUVz5gycOSOLT2KiwJYtKnJzBVauVLNypfwbW7SQGD7cLjYiZYsZVAwOaNQIXnrJxlNPWVi8GD78UM+pUypmz9bzf/+n4957LTz2mJk//yxlwwaR//3PTGJiYxYv1vHNN1oee8zMc8+ZaYBh/1VStldK69aty0U82Qc1uwnNPqhVZyBrCMERZXG1csnIEFi1SsPKlRq2blU7IikBunWz0aePjebNJcLDJcLDRce/wcE4nQRlZwv89Zeav/7SsH69hsxMFd98o+Obb3TMnGnihRfwuA201WqtsxbHDQ1Bqgd3XNn2wzWtZCyKImvXrmXkyJGONsMWi8VRpbdHjx6O7OvqYO/dMmLEiCq3NZvhtts0rFmjRqeTmDHDxjPP2NBqYdcugfvv1zh8K+PGpXLPPYfp0aOD2xbEmzYJzJ6tYevW8g9ZRITkGMyHD7eRkPAXI0aMqFEXQJvNRlJSEtnZ2fTo0YOcnBxKSkro3r17pW2tVti/X2DDBlno4uIETKbyx96hg8j48SL33WejoCCBgIAA2rRpU24be/SfzaZi+XIN772n4+BBWaw0GonbbrPy2GPFZGVtRqu9irfeMrBpkyy+zZuLvPGGiYkTrS5XTJeSXbt2ERUV5ZGZtTbYqwbY/6xWa7nCm1XZ5tPT0x0dQRsCZc9rerrAb7/JghIXp0aSLv7OXr1sjB9v5cYbLbRtW7vhzGyGbdvULF+uYckSHYIgsXJlKSNGOLdeVGwDnZmZiVqtLlfpuTY+k7feeouUlBR++OGH2vysy8JlF5eath92tp+1a9cydOhQfH19ycvLIyEhAT8/P7p3715jc0J+fj579uxh1KhRbrezWODuuzWsXKnGYJBYudLCsGFyZvybb6p58015yR4eLjJ9eiLt2qURExPjsgXx5s2yqMTGyqKi00nceKMsJiNGiLRpU34W9tdffzl+O8iOejn5UaCwUMBkosKfgNEIJSVWMjMLEEUVHTv6066dGj+/DEJD87jmmvZVJmKWlkJcnGye27RJxd69QrmZZP/++dx+eyFTpzYuF0Jtn0yAfXUD69erWbBAR2ys5p/XJa666hQLFwbRooWaP/9U88ILPqSlyedkyBArb79tokuXy5shv2vXLtq0aeOY2V4K7IU37TPo3NxcNBpNuaRBfYWY9TNnzpCTk+N00lAf+e23BA4f7sK6dUHs2lXej9Gvn43x4y3ceKOV1q3rZgh77DE933yjo3Fjka1bS2je3P33SJLExo0b6d69u6N6QF5eXq3aQM+aNYv8/Hw+//zz2v6cS85lFZfatB92xvr16+nfvz/Z2dmkpKTQvn17IiMja7XfoqIi4uLiGD16tMttbDa4914NP/2kRq+X+OUXC1dfLXH0qLxa2bNHHgxvvrmUu+7aTrNmevLy8pzuc8sWWVS2bLkoKvffL/Lss1Zc1c6UJPj6622IYj8SEw3s3q0iIUHAbK79tD40VC7XHxUlERkpl38ZOlSkbVvn2+flwbp1KpYsUfP334JjhtmokVz+5b775LBq+8rF2WRizx4V//d/OlatkkN0/f0lnnnGzGOPydFj77+v4513dJSWyv6sBx+0MGOGiVq02KkVl0NcKmJvN2xf1RQWFjqSBu0hz2fPniUvL49u3bpdtuOsCosFfvlFw6JFOvbuvSgogiAxcKCNm26ycuONVlq2rPthq7QURo3y5eBBNYMHW1m1qtRtPyObzcbmzZsZOnSoI7y8bBto+3WpThvoZ599FoPBwIIFC7z86+qeyyIu3mg/7IwNGzbg6+uL0WikZ8+ejr7rtaGkpIQtW7ZwzTXXOD1GUYQHH5TzV7RaiWXLrIwdK/L557JDv7RUIDhY4qWXztKx437at29Po0aN2L59O2PGjHHspzqiIkkQGysQGyv7X3bvVpGdfWntQ23aSIweLTJ6tMjw4aJTH0hqKrz9dg6rVjUiM/PiAxQTI3LffVauv74UPz/XK9Xt2yWefNLK0aOyOTMiQuT1102MH2/l9GmBGTP0/PabvN/GjUVee83EnXda3ZaUqQvqg7hUpGzSYE5ODiaTCR8fH1QqFZ07d643VQPsFBXBkiVaPvxQx5kz8gVUqSQGDDAxcSKMG2etcuVQF6SkCIwY4UdhocD06SZmzTK73NZsNrN161aGDx/uMmKsbCh6bm6uo+KxqzbQjzzyCK1bt+aNN97w+m+ray7bysVkMjmiQbxxk+fk5LB7926Cg4Pp3bu31xLTTCYTGzduZMyYMZWci5IEjz+u4Ysv1KjVEt99Z2X8eJGPPlIxfbr8/VddZeXJJxPw8bngELzS0lI2b97MNddcQ1ycildf1bB580VRue8+WVRatSp/LCUl8N13Kj78UM2RI/Wn1LhWKzFw4EWx6dFDcgzwSUlJCIKW1NROLF4shyLbzWYBAVbuvjuP6dOhaVN9pf3abDY2btzM+fNX8frrfo66aoMGWZk710Tv3iJ//63mued8HL6sAQNsvP22kR49Lp2pbOfOnbRt27ZeiUtZ7H6BY8eOUVBQ4LAUlK0aUBNfnTfIyhL45BMtn32mIy/PXuJI5JFHLHToEMuIEZ1dmo4vFcuXa7j3XjnP5c8/Sxg82Ln/pbS0lLi4OEaOHOnxmFa2DXRubq6j+rbRaMRsNrN48WL69u3LjBkzvPZ77MydO5cZM2bw1FNPOVZGkiTx6quv8umnnzpaHH/44YdER0dXe/+XLVrMW+F69l4Pqamp6HQ6IiMjvZrx7CrEUJLg2Wfl0vIqlcSXX8rC8sMPF4Xl6aeLGTNmGwEBfnTvfrE7o5wBL/tiXntNgyQJaLWyqDz3XGVROXMGFi2Svysnp/7MNu1YLIJjJfXyy3JPl+uvF/nPf2wYDLLp6vrrRa6/XiQ9HRYuLOK77wxkZvry8ceN+PprC7fccor77y8kIiLYEdopCAIqFdx6q5nx42Vz2IIFOuLiNIwYoeGuuyy88oqJHTuK+fBDHfPn69i5U83w4b5Mn27mhRfMlUrl/Buxl64PDAxErVbTuXNnRwdIex6HwWAol19T14U3jx8XWLhQx3ffaTEa5Xu6bVuRJ580c+edFnx8YPNmY73o1zJhgpXffrOwfLmWDRvULsXFnkBZncmyqzbQP//8M/Pnz0cURY4fP05QUBCjRo2iY8eOXpmM7969m08//bSS/23+/Pm8++67fPXVV3To0IHZs2czevRokpOTq12Z+bJdOW819Nq9ezdnz55lwIABGAwGr5c/LxvibEeS4KWX1Hz4ofwALlpk5bbbRP78U8UDD8ivTZmSy8iRG4mIaEmfPn3KBRSUlKh4662+vPqqFkkSmDTJRlKSmfffLy8su3cLTJmioVMnHW+9pamXwuKMzEyBL79UM2SIjkmTOvLTTyEUFtrtz4e4+uqd7N6dw5IlxXTpYqO4WMuSJW0ZN64rr75q5q+/trN//35Onz4NyJ/z84P//tfMvn3F3H67HAjw/fdaevf248MPdTzxhJk9e4qZMMGCKAq8/baeESN8SUi4/INTfcGe52Iv8hgVFUWfPn0YOnQobf9xoh0/fpzY2Fj27t1Lamoq+fn5Xn2m9u5VMWWKD717+/HFFzqMRoE+fWx8+20pe/YUc999srDYj7c+iAvgCBo5f971M1jbHBf7JKBly5ZMmzaNU6dO0bNnT9q3b8+vv/5Kr169PIparYqioiImTZrEZ599RkiZnAVJkliwYAEzZ85kwoQJdO3alSVLllBSUsL3339f7e+pV3ku1eHChQscOHCAsLAwevfujUaj8VodsLLY/UFlH7DZs9W884586j74wMLkySLbtgnceacGq1Xg2msvcPvte+jZs7ejcJ6d48fh1lt9OXTIH61WYsECK//5z8V9i6Jcqv6DD9Ts2OH9B6tPH9mhHhwsUVQkUFQE+fkC585BerpAfr53BezIEV9mz/ZlwQKJq646x/XXW7j11kEYDAZuusnEjTcW8+uvWubO1XH0qIavvurAb7+14777shgz5hgAe/bsISwsjNDQUJo0CeWzzyQefNDMiy/6sHu3mlde0fPrrxo+/NDIV18ZuflmK08/rScpSc3Ikb4895yZZ581U5clvOqT/8IVrpIoNRoNjRs3doRS20Nrc3JyHAJfNuS5un1S7JGA772nY8uWi0PONddYmTbNTEyMrVJIuT09ob6c1+bN5Wf03DnXz6S3s/M1Gg3FxcXcfvvt3HrrrRiNRkch1Nrw2GOPcf3113P11Vcze/Zsx+upqalkZGSU8wXr9XqGDx/O9u3beeihh6p3/LU+0hpS05tGFEVSUlI4deoUnTt3LtfXvi7EBcrXF5s/X80bb8in7e23rTzwgMiBAwITJsjL+wEDsnj++WT69ImpFAq6fr3A5MlacnMFQkKM/PCDhREjLq5oMjLggQe0rFtXc1EJDJS46y6RyEiJJk2MFBcnAyrCwjqQmqonPV22c58+LeDrCyEh0LKlSK9ecmizSgV6fT5+fmcYPrwzWVmwf7+KPXsER2JoTSgqEvjtt3B++y2cL76QTWY33igfw8SJVsaPt/LzzxrefFPP8eMq3nmnKV9/3Zhx45J4+mkDFkuhI5EwMDCQsLBQfv45lNWrw5gxw8D+/bI57NlnzTzzjDxgTZ+uZ+VKLXPn6vnzTw2ffGK87GHLlxNPVwIGgwGDweCoGmA3oWVmZpKSkuIohWI3obkyQ9sjv957T0dS0sUcpltvtfLkk2aio11fC7sruL6sXOzVujMyXI9b3q4rBhdL7oNczaFDhw612t/SpUvZt28fu3fvrvReRkYGQKXq8E2bNuXkyZPV/q4GtXIpLS0lISEBq9XKoEGDKpVFqCtxsdcX++YbFS+/LJ+yN96w8vjjNo4fh3HjtOTnC3Tpks0HH2TSrVvfcuIpSbBggZqZM+Vs4n79RB59NJZ+/foAsrj88YeKBx/UcOFC9UW3WzeRQYNSGTrUHx+fUHbtEvjqK5EjR/yBPjX4xWH//F1k0CCRl1+20rixhNEoUFwMO3cK/Pln9R+mXbtU7NqlYuZMNdOnm/nPfywYDHD77VYmTrSybJmGefP0pKWpWLy4Gxs2WHnnHTOjR9swmUyOCKj09EQiIiSWLGnC++934u+/A5g7V89vv2n46CMjX39t5OefrTzzjA/x8WqGDfNlxgwzTz5pdhtSWl3qQR6yR9TkOAVBIDAwkMDAwHJ9UnJyckhNTeXgwYPlCm8GBQVRWqpyRH6dPi2Lg7+/xL33ysVIPQkjtlsK6ou42CPV3ImLt0u/2HOZvNWF8vTp0zz11FOsXbvWbQBHxYl/TcsGNRhxOX/+PAcPHqRp06Z07tzZ6QyhLlcu589LPP+8fLpeeMHKM8/YOHsWxo7Vcv68QFRUAT/+aKRdu3blPltSAo88omHZMvl4p0yx8f77VrZulXvTlJbCiy9qWLSoeoP0qFEi48fbGDRIIjZW4NVXW/Hpp3XXaS8uTkVcXPkHZ+BAkW+/taDRwJo1Kr76qnq/4cIFFTNm+PDBBzqee87MlCkWdDqYNMnKbbdZ+f57LS+/DGlpPkycqOGmmyzMnSvQsuXFVrf2WfVLL+2jVy8/PvusO0lJOq66ypcnnjAxY4aFoUOLefJJH9as0TBrlp7ff9ewaFEp7ds3DFHwFt6oLVaxT0pZsU9IOMSaNeEsXdqJnBz5XmzSRI78uv9+c7VKEjkTl6IiOHlSxcmTAqmp8uudOol06iSXeKlLC1qzZvK9kpWlwmLBqYnV22Yx8G75l71795KZmUmfPhcnnDabjS1btrBw4UKSk5MBeQXTvHlzxzaZmZlOe11VxWULRS6boV3VdsnJyaSnpxMdHV3uR1fk8OHDCIJAp06dvHmoxMbG8vHHg1i+3I8ePUS2bbNQWAhXXaXm8GEN4eGlbNhgJjKy/Gzg1Cm47TYt8fEq1GqJt9+28vDDIoIg5+T4+AzgsceCOXzY89nOBx9YuOkmka1bVbz8cvlS/ZcTPz+J//7XRkCAxN69El9/XX2ha91a5IUXTNxxh9Wxsli9OpZNm4bz+ee+2GwCfn4SL75o4tFHLZUecKvVyrFj+bz0UgBr18qDX0RECW+8cY6RIw389lsIL77oQ0GBgK+vxNtvG5k0qfYlZHbs2EH79u0r+dfqG0ePHkUQBNq3b+/V/UoS/Pabhldf1XHsmL1fUSk333yUMWMyaNbsor/Gk0oZp08LrF8vERt7DogiLU1FWprAhQuu7/WAAImOHWWh6dHDxpQpFo/aVXiKKEKjRv5YrQKHDxfRokXlYdPb5XUkSaJRo0YcPHiw1uYwgMLCwkrmrfvuu49OnTrxwgsvEB0dTXh4OE8//TTPP/88IOfuNGnShHnz5lXb51KvxaW4uJiEhAQAevToUaWCHz16FIvFUqOYbHcsXHiYZ5/tiSBIxMZa6NxZYvRoiX37fGjUyMKWLTbatCk/QuXkwJAhOk6cEGjUSOK77ywMHy6falGEadNS+eqrjh5n0f/vf1YGDBBZuFDNmjU1mx0ZDBI+PqDXyzMvvV5CrwedTn7NapUfbHcRMZ4yadI5hg4N5Y8/Svntt+BqfbZdO5EZM0xMmGBly5ZN9O/fnxMn/Jk+Xc+OHbLqdOpk4913TQwZ4nyl+vvvGqZN05GZqUYQJG699Rh3330cSWrKm292JC5OtmPfequFBQuMtSqEuWPHDjp06FCj2nWXkuTkZNRqdaXVdW3Ytk3N//6nZ88e+Z4MCxN54QUz999vQa22VcpOd1ZNWJIgPl7FH39o+PNPDQcOuL6/Q0IkIiNFIiNFbDZITlZx/PjFBnt2unWz8fXXpbWuNVaWjh39OHdOxcaNxfTpU9lfdOrUKfLz871WAcFkMv1TVy2d8PBwr+yzIiNGjKBnz56OPJd58+Yxd+5cvvzyS9q3b8+cOXPYtGlTjUKR66242Pvat2jRgo4dO3pkyzx+/DjFxcVerZ1kNELXrjbOnPHlkUdsvPOOmYkTS/nzz1ACA0U2brQSHV3+FFqtcNNNWv7+W0VEhMS6dWZHP5LMTLj/fi3r13u24njgARt3321j5szKxSvd0ayZRK9eIr16SfTuLf+3Vgs5OQJms1xfzGy2/8mvWa3y57TaPJKSUmjWrD8nT0JamsDJkwKHDwscOlS9lVLz5mYeeeQ0paWtmTu3elbYrl1tTJq0g3vvbYufnx+iCD/8oOGll/RkZ8vHcfvtFt54w0STJpVv49xc+O9/ffj+e3mJ07u3iddfP45We46vv27O9993QhRVREZa+OorI717V+vwHDQUcTly5AhardYRdlwbkpJUzJql56+/5Gvq5yfx+ONmnnjCjKucx7LVhDMyctm3L4j4+Aji4hqXq+AA0Ly5Db2+iOBgfzQaORBAo5Hv0bZtJaKjbURHi3TtKhIUJHHihIojR1QcPqzi88+1ZGWpCAyU+PhjI+PGWWv9e0tKoGVLeeWSlFREq1aV77e0tDRKSkro0qVLrb8PIDs7m6ioKPLz8+sskbSiuNiTKBctWlQuibJr167V3vdlExdJkjCbK5dSsNlsHD58mPPnz9OtWzdHW1JPSEtLIzc3l169enntOF97Tc2cORqaNLGya1cRy5enMX16T1QqifXrLcTEVD59zz+v5v33Nfj6SmzaZKF7d3mb3FwYPVrLwYNVD9Bjx9qYNcvGypUqR3SaO8LDS7nxxmJGjw6iVy8Rq1WeDe7fLxAfL5CQIDdOqg4+PnLmfevW8l/79hIdO0ocOSIXqty4UTZXeMr//mdFp4NZs9z33ajIHXeUMHeuSFiYfB5zcuD11/UsXiznCYWGirz/vokbb3Q+iCxfruGpp3zIzxcIDJR47z0j48aVsH59CdOmNSEjQ49GI/Loo2k89JCJRo3CqtXnvqGIy+HDh9Hr9ZUqVFeH06cF3nhDzw8/yMm/arXsqH/xRbMjosoVeXk4Vid//62hqMg7TpImTUT69bMxe7aJtm0lzp4VuPdeH8cq98knzbz2mqlWZYG2b1dz7bW+NG8ucuRIsVNT6vHjx7FarXTs2LHmX1SGkydP0r17d8xmc50ntdYF9Upc7H3tNRoNPXr0qNYDDnI0xPnz5+nbt69XjvHoUYG+fbWYzQJvvnmczp2P8vTTIzhxwsDDD9tYsKDyYPbNNyoeeECehX3/vYUJE+Tlc0kJXH+9tpJTvCJBQRI//2zBZIIbbnBvn1arRQYPzmbaNAP+/kfZtKk5O3Y0Ze9e7+erlMVeV2zECJFmzUysXp3O3r3B7N3bhIKCqr933DgbgwaJLFmiIjnZMxNfSIjE66+buPtui2OQ2LtXxZNP+pCYKO/jzjstzJ9vdFrA8uRJgf/8x+Corjt5spn5802YTPD44z78/rt8zQYNyubRR3fTpImqXLitu4c7Li6Ojh071ntxOXToEAaDgaioqGp/NicH3n1Xz6JFWkeLhZtvtvDSS6YqAyMSEuTVxI8/aiktrbv7MihI4pNPjFx/vRWLBV55Rc/ChfIztGhRKXfeWfMVzIIFOl5+Wc+NN1r49luj02287dM6fPgwV111FQUFBfUmaq461IsjliSJM2fOEBcXR5MmTejfv3+1hQW8Gy1mrxtmNgv063eBTp2S2LmzPydOGGjUSOKVVyrfqLt2CTz+uDwI/fe/VoewWCxw112aKoVl0CCRTZssPPqoxq2wtGplZcqUZP74I4kZMwL58UcDY8b0Zs6c5mzYoKpTYQE4cUJg0SI1d96pZeRIf379tRVdu4aydKmFr76yMHKk+1ySVavUzJihpUkTiS++KKFDh6qvWW6uwOOP+3DNNb4kJcnnsU8fkY0bS3jmGRMqlcQPP2iJifFjy5bKgtW6tcSaNSU895wJQZD45hsdw4b5cvq0iu++M/L220Z0Oom4uDCef34MubldEQSBY8eOERsby759+0hLS6OwsLDBhB5XpCbRYqWl8H//p6NHD3/ef1+HySQwZIiVDRuKWbLE6FJYjEZYulTDqFG+DB3qx5IlujoVFpCTge+808Arr+gQBJgzx8Szz5oA+OGH2mXQ7t4t33P9+rm+V72d51JUVFSrXjCXm8u+crFarY5GVd27d69V8b/z589z/PhxYmJian18336rYupULXq9jQ8/3EyrVo255ZauFBYKfPyxhfvuKz+Anj0LgwfrOHdOYNw4G8uWydV5RRHuu+9iKLIr7rvPRp8+Io8/7voh6NtXZOrU0/j4HOXQod58800o587VrxsvIkJi6lQbgweLbNig4ssvJc6edf9gT5xoYeBAG88952nraYlHH7Xw3/+asKc67dih5sEHL/Z6eewxMy+/bHIaMRQbq+aBB3w4e1aFTieviB5+2EJioop77zVw7Jgc3Td7thyVZjTK9Z6ys7PJzc1Fpbq4qgkLC2Pv3r0NYuViz0lpbXcAusFqlf1bb7yhdxQMjY628eqrJkaPrpxRb+fkSYHFi7V8/bXW4RerCxo3LsVo1FJY6HxFee21VpYtK+XkSYHu3f0RBIkjR4prVFlZkqBDBz/On1fx118lDBrkXGCSkpLw8/MjMjKy2t/hjE2bNvHUU09x/PjxBikwl7WfS1ZWFvHx8RgMBrp3714po726XLhwgcOHDzN06NBa7Sc7G7p105CTo+axx05z773nmTWrLatXh9Cvn8jmzZZy9lujUfal7N6toksX+f2AAPmmnD5dw8cfuxeWuXOtlJbCa685f1AMBomXXzbTrVsCCxeGs2aNi8Yu9YxRo0Suv/48FkseO3d2YPly9+fh/vvNNGokMX++Z/dBVJTIp5+WMmCALPRFRTBzpp4vv5RXfZ062fj0UyM9e1ZeSWVny+aw1atl4ZswwcLChbK548knffj55/Kv20VMFEUKCgrIzs52REAJgkDjxo0JDw+vduvhS0liYiJBQUFERES43EaS4M8/1cyapefIEfl6tWolMnOmidtvt+JsYi6KcnmXzz/X8ddf5btEekpAgERUlOxXU6tBkkw0a3aeYcOaExIicfy4iv371ezfryIl5eJBdOxYwD33HGDGjCGV9rlhQzF9+4qMGWNgxw4Nc+YYefzxqtMfKnLqlEDXrv5oNBLp6UUuQ5wPHDhASEgIrSpWnq0hq1ev5o033iAxMdEr+7vUXDZxsVgsrFu3jsjISNq0aeMVZa5OS2JXSJLE3XeX8ssvIXToYGLPHomffz7D/fe3c4Qi9+0rldkepk7V8N13akJCJLZuNTsaab3xhprXX3fviFu2zMK6dSo+/9z5wDt8uMj8+bksX57OwoVdKC5ugI49QWLaNBvXXivyxRdqfvzRvchMn26isFDgs8+qzolQqSSee87M889frB22Zo2axx/3ITNThVYr8cYbJh56yOKkfhV88omWmTP1WK0CnTrZ+PZbI+3biyxapGXGDPn1jh1tfPedkQ4dKouU2Wxm586dBAQEUFRUhM1mc9ThCgsLq3YdrrqkqsFv/34VL76oJy5OvsdCQiSee87E1KkXi0mWJS8Pvv5ay+ef6xwrxrri6qsv1iErLoZNmzQ89ZSenBwVjRqJzJmTxYMPlk/0u+OOC8yfX8pPPzXimWcM9OxpY8uWkmp/988/a7j/fgO9etnYvNn15+Pj42nSpInXwoZ//PFHPvvsM3bs2OGV/V1qLtsUS6vVMmzYMNq2beu1h6+2Phe5f0IKv/wipxIvWiSgUgm8+WYLAO67TywnLAALF6r57ju5n8u331ocwvLJJ6oqheWHH07w+edqp8ISGCjx4YcWXnnlDA88IDFvXnevC0twsETfviIDBoh06SISHFw38wxJEvi//9NwzTU6GjeW+OMPM3fe6fo6vfuuns8+0/H556W0a5fvdt+iKDBvnp7Ro31JSZHvo2uvtbFzZwnjxlmwWASef96He+/1oaCg/GcFAR55xMIff5TSrJnIkSNqRozw5bffNDz8sPx68+Yiycny6ytXVj7/Op0OtVpN69atGTx4MH369CEkJIQLFy6wa9cu4uLiOHLkCFlZWVittQ+JrQ2ufC7nzws89phcRTouToOPj8T06SYSEop4/PHKwpKdLfDaazq6dvXnpZd86lxYANav13DDDb6Ehgawd6+am26ysnlzCd2727hwQcUjjzThtddM5T7z559B7Nt3kMaNYwGIj1eTlVVSbZ/Z7t3y8+nO3wLeL/9i97k0VC7r+r2mfe1doVara/wA5+bmsn37dj7+OBKA+++XS6t8+qmKo0cNBAZaee218vs+exZeflm+8d5808aoUfJNu2aNiqefdi8EK1Yc5NlnWzotUnnddTZ27jRx9Oh5rroqggMHau6HioqSePZZK4sXW/jrLzMHD5rJyTFhNJrIyDCzdauFzZst7NtnISPDjNFoIj+/gOXLV5KSUsrKlRaeffYCw4alExpa+8Hxww81jB2rIyBAYuXKEu6803Vnv6lTDTRtWsrMmXlV7nffPjVDh/r9E54MYWES335r5M03jWg0EitWaBk+3M9pGPjAgTZiY0sYMsRKUZHA5MkGXnpJT9++8ky34uuubjFBEPD39yciIoJevXoxdOhQR45WxVL2BQUFlyUwoKy4mM3w/vty24JvvtEhSQK33WZh//5iZs0yU7GRa0aGwMyZeqKj/Xj7bb1HkYF1wfjxvixcqKV1a4m1a0u4+morNpvA4cMqOne+KAD5+VpKSobTo4ec9yYIEomJu9i+fbsj3cFZOkRF7BGGVYmLtx36xcXFleonNiQuq8/FYrF4tVeE0Whk06ZNTrtGukKSJNLS0jh27BhqdTRjx0ahVkucOGFGEKBbNx35+QLPPZfK66+XX+4++aSGTz9VM3CgyMaNstmluBh69tRx+rTrB2/tWjNjxjgX1gcftPH440VMnKgiJaVmaeO33WZjzBiRq68WadZMfk0UYds2ge++U7Nli4oTJ9wPDI0blzBggI6WLc/Trt0p7rgjkkaNQjEa4dAhgfXrVaxYoWL//trNTyZPNnPbbVbefVfHxo2uBXnOHCN//qkhNrbq1du111r56CMjjRrJt/auXbKj/swZFT4+Eu+8Y2Ty5MoKYbXCrFl63n9fvjZDh1r58ksjoaFSuddHjLDy5Zel2Ku9bN++nc6dO5frjeEMo9Ho8NXk5uYiCAIhISGOdgK19TlWxf79+2natCnNm4ezZo2aGTN8OH5cvn69etmYP9/o8F+V5fRpgQULdHz99cUw5PrAQw+ZeestEzt3qhg92g8/P4lnnzXz6qsXz+N995l5/HEzffr4ExQkkZaWT35+vqMeWlFRkaNqgLM2wydOCPTq5YckuU6etOPtfKd58+Zx4sSJGvVSqQ/UT89jDbHfFJ4KlsViIT4+npMnT9KvXz82bJBt0ddeK9K0Kbz0kuafasdGxo07V+6zx4/D4sXy6XvttYv1qebOVbsVlvfes3Dnnc6jpx5/3MrkyRcYNUpXbWEZMqSIjz8+RHGxia+/tjJ2rMi776rx8dHj46PH11fP6NE6vvpKXaWwAGRl+fL77xo++aQFzz47iJYtm+Pjoyc4WM9336mYONFGXJyFtDQTH31k4eqrazZJ+OYbHePG+XLVVVa++KKUli2d72fGDDm6a/Zs5zkGZVmzRsPQob6O8NH+/UViY4sZPdqK0Sjw2GMGHnnEh5IK5nONBmbPNvH116X4+0vExmoYMcKXQ4dUjtf9/CQ2bdIwcqRfuZpwnph2fXx8aNGiBd26dWPIkCF0794dX19f0tPT2b59Ozt37uTYsWPk5OTUSQFWSZI4cULHhAkGbr/dl+PHVTRpIvLRR6Vs3FhSSViOHxd4/HE9PXr48dlnuksmLIIg0aGDkVatSt1ut2iRjpQUgf79RaKiRIqLBfIrWFFVKhyh+UFBEmq1mtDQUNq1a0f//v0ZMmQIERERmM1mDh8+TGxsLPHx8Zw6dYqioiI+/1xO1L36aqtbYQHvm8Ua+srlihQXT0xj+fn5bN++HZvNRkxMDAEBwfzwg/z5u+8WSUwU+Ppr+f9ffTUbKP+wv/663Bhs9GiRYcPkm+7wYYEFC1wvix96yEZsrIrs7MoP6bRpVkaPPsVVVzUiK8vzHJ+bbrIRF2fmiy/O0q1bPm+9JQtKeLie99+vG+f/hx9qiI6WRSsyUo/NBqtWWcjONrF4saVG/ev/9z8fXnhBz7x5Jp55xoRGU/lBPn5cxUsv+fB//2dk9Gj31zg9XcW11/ry2Wd2Mxn89FMpL78s58R8952WMWN8nU4Exo+3snFjCe3aiZw5o2LMGF9WrdIwfryV9etLiIwUSUtTMWqUL6tXa2pk3rJ3g2zTpg19+/ZlyJAhREVFYbFYyg1yp0+fpri4uNYmtLw8WLiwDTfeGMnff2vQaiWmTTOxb18xd99tLRf9eOSIiqlTfejVy5+vv9ZVqttV10iSwNGjPpw/rycmxsoDD7g2XY0b54sgyAm0cNGEZScgQConLhXR6XQ0a9aMLl26EBMTQ79+/QgLCyM3N5dt2+L56iv5xNx663lMJlOlz5elLvJcFHGpJ9i7Rrqb9UmSxKlTp9i1axctW15sQbxhg0B6ukBIiMTYsXLvFoDx42307Wspt8+DBwWWLbu4apH3C089pXH5IHbrJtK7t8jPP1e++Z591kzXroe46aY2WCye3Zy33mpj714zy5ZZ8fWFAQPaMmTIIGbNuvTRZE88ocVg0BMWpkethh07LGzbZubuu6s3+75wQcWkSQaOHFHx00+ljBrlXECeftoHlQreeMP9KsZiEXjmGR8eeMCH4mJ5Fvvss2ZWrSqlcWORAwfkBmNxcZXPeceOIn//XczIkVZKSgQmTTLw9ts6unSREzeHDZP9MHfeaeD779tSW+OyVqulSZMmdO7c2THIhYaGkp2dze7dux1+gszMTI+qidux2eDLL7X06uXHzz+3wmoVuO46Kzt3FvPaa+XrgB04oGLyZB/69/fjxx/rsG2nh5jNKrZv15CRIfDcc84H9rNnVUgSjtyTihM3f3/Iy3MtLmURBAE/Pz9atWpFjx49OHt2OEVFWlq2NNGmzVG2bdvGzp07SUlJ4cKFC5XGGW+vXEpKShRxqSl1EaLpLmLMarVy4MABjh07Ru/evctFqn37rTzA3HabiEYDP/10cRVjbxZmZ9YsOZZ/4kQbvXrJN+zSpSq2bHF9Ov/v/6w89FDlB/aFF4pp2vQAU6d6VmzTYJDDnb/5xkpQkISPj54ePXTk5Xm3j0RNueceWWgefljD3LlW4uPTeeCBY9Xax+rVWm6+WTaVPf30Ifz9K6+E/vpLw8yZPnz0kWyqcsePP2q56qqL0WRDh9rYtOlipNENNxhYsqTytQkJgV9+KeXBB+WZ82uv6XngAR/8/CRWrLj4+jfftOeRR8IoLq7Wz3SJfZCLiIigZ8+eDB06lE6dOqHRaEhNTWXr1q3s2bPH0ePe1apm2zZZPJ96yofsbBWtWxezePFZli0rpV27i59JTpb72g8Z4sfKlZdfVAB8fW3ceGMWOp3EqlVaMjIE7r/f+Qpm2za1w8RZMbgqIEAiPV2+7iEhns8AJAk++0z23Tz6qMSAAX0ZOnQoUVFR2Gw2jh49ypYtWxyVG/Lz8+vEoW/vQtkQuaJWLuBaXIqKioiLi8NkMjF48OByvTfy82HlSvlUTJ5sY9MmgXPnBEJDJcaMEcu1Od6xQ+D339WoVBIvvyy/lpcnN/xyxZ9/mrn66soO/EmT0vD1Pchzz3lWC23iRBtpaWb69JG4+24N7drVrQO4NiQmqmjVSk/Pni3o2zeb3FwTb75ZvWizmTN9WLs2nE8/zWTIEOefffRRA1OnWrjjDvez+cOH1YwY4efonNmqlcRff5Vw881yuPITT/jw3HN6Ki4KNBp4+20T775rRK2W+PFHLWPH+pKTI/D22yY++MCIRiPyxx++jB7ty8mTdTNhCgsLo3379gwYMIBBgwYRHh7uaEkRGxvLwYMHOXv27D991uXCjddd58uBA2qCgiTefNPIp5/uYvjwi6u9kycFHnnEh379/Pj11/ohKnZKStT89ltjoqNFVCq5XE94uHNx+PtvtaMIpn2VYicwUGLNGvnZHDzY85X09u1qDh5UYzBITJok3xT21WWnTp2IiYlhwIABNGnShMLCQuLj4wG5vlh6ejqlpe79RZ6g+FzqGc7EJT09nbi4OJo2bUrfvn0rReX88osKo1GgUyeRPn0kli6VB6AJE0R0uottjiUJR5vjyZNFOnaUb/ZXX9W47IEyZ46VL7+sPJuJji5g6NBjzJ3bz6Pf9cEHFr791squXQIGg96pea2+8tBDAwgJ0dO1q0hmpomZMz0XmaSkYO66qxm33GLljTfk+l8Vee89HXv3qvi//3NvJissFLjjDgPvvy/7Yfz84KuvjLz0kmxyWbRIdnbn5FT+7NSpFn79tZTgYIk9e+S8l4QEFffcY+HNN3fRqJGNgwfl17durdtr4+PjQ3h4OF27dmXo0KGOXkepqed54okcevc2sHy5FpVK4r77TOzfX8yjj1pQq0UEQe7X8+yzerp18+e77+qXqFQkPl7FxIny/XLwoIqIiMqr2NRUFcXF8vN34kT5IU2jkYUC4PrrPb/vPv1UPi+3325x2UHT19eXli1b0q1bNwYOHAiAn58fGRkZ7Nixg7i4OJKTk2uc46SISy2oC7OYRqNxiIvNZuPgwYMcOXKEnj170qFDB6c2UbtJ7O67RYxG+PVXeZs77pD3Yxesv/8W2LJFrkdlHyD37RNYtMj1aezQQaqUke7jY2PatAO8/34/jMaqqyTv2mVm6lSRceO0jBtXd62M65obbtDRpIme8eNFTp0y8sgjVecY2Jk2zYfNmzX8+GMp3btXnoGmpKh5+mkfvv22FL3etflDkgReesmHxx/XYzbLiZTPP2/mu+9k89rmzRpGj/YlNbXyvTl8uI0NG4pp395GerqKa66REyujo/NYvTqTnj1tZGeruPFGA59/fmkGbbnHfRB797Zn6tQhLFvWEbNZTe/eBXzwQRw337yW06f3cerUKXJzBebNC6FTJ786bYntTSRJcNTPi41VO63rFR4uUVRU+bMGg0RRkYAoCnTrZqN1a8/MYmfPCvz2mzyJfPBBz/xbdrN5mzZt6NOnD0OHDqV9+/YIglAux+nEiRPk5eV5FNHa0H0uDa+WSBXYTVjFxcXEx8ejUqmIiYlxWWX5+HHYvl2FSiVx5502/vhDRWGhQKtWkqNXi7xPkVdflU/XQw/ZsJdneuklDaLoetVyyy2VB5mnnz5NfHw0hw45qQ1fhpAQiQMHzISGgsFQexNYUJBE48Zy7SaTyURJiUR+vsFpiKlaLeLvDzqdgMVS2dxQG/r102EwiHz55QZ69fLnnXe6k5xctW157VoNa9dq+OmnEv74Q+OoIVaWu+828MEHRpYu1bBtm+vb+5tvdKSmqvjmGzlfZdw4ORLs1lsNpKSoGTXKl6VLS+nfv/wg0K6dxN9/l3DvvQY2bNAwebKByZPb8MYbNtasKeGxx3z45Rct06f7cPCgivnzTXg5V7gc8fEqXnjhYsmWiAiR2bNN3HSTAHSlpKSE06fzWLDAwDffdMRkaniP/MGDajQaiexsFYWFlcWlTRuR+PjKk7SRI638/Xf1Vy1ffKHFZhMYPNhK166eRT7a/S32CbNGo6FRo0aOQrxGo9GRW5Oeno4oioSEhDjyayqWCZIkieLiYiVDvz6hVqvJzc0lLi6O0NBQBgwY4LZ8v33VMmqURIsWsmMe4PbbbY7wTLVazdGjAezdq8LXV+L55+UbPC0NNmxwfgp9fCQyMyu/Pnx4MSNGhPPhh+4T7vR6ecXi7w9+fjUXlm7dRHr1krv15ecLHDumIjlZRVqagcxMX5e5Czabivx8FVlZQiVh8fWtfd5taamKO+64mp9+iuaLLw7w2GMHPf7srbf6EhEh8eGHpfj4VD6WJ57woVMnkSeecL8y2rpVw1VX+XH0qL3qr8jff5fQs6fd0e/rmMGWJTgYfv65lIcftjv0O/DEE6EIAixebGTWLLms/+LFOm680cCFC95foWdlCTzxhP6faDcNBoPEzJkmdu8uZvx4Oe/KZBL46qtgxozpyOeft26QwgLyxMY+0d+0qfJviIgQHX6VsowYYePvv+XXb7jBM3ExmeCrr+QJoaerFqg6UqysKXPIkCH07t2boKAgsrKy2LlzJ3FxcY6qAfaQ56Kiomq3FnbFxx9/TPfu3QkMDCQwMJBBgwbx559/Ot6XJIlZs2YRHh6OwWBgxIgRJCUl1eo7ryizmCiKlJaWkp6eTteuXencubPbCy6K8N13dpOYjZwcuXQLwJ13XpyxqFQqdu2SU92vvVakcWP5dftnnfHWW1YWLCh/w4eGiixYoOXmm6s2mezaZUGvh5CQ6gtLkyYSffqI+PpKJCbKWfTe7PFSUuK9fa1bF8CQIQO54YYo9u49x8iR7muJ2Xn1VT2rVmn55ZdSIiMrzy6/+ELH+vVqPvjAvR8mNVXF1Vf7snOnfN2bN5f4448SrrlGTricPNmHhQu1lUKNNRqYP9/Ee+8ZUatFVq705frrfcnOFpg+3cyyZaUEBkps365h5MiLPWhqi9kMCxfKocVLlsglW265xcLevcW88IIZg0GuNLBkiZYePfz47399vLrqrEtUKteTFrt1wFW1lszMyudXp4PSUoGICJFu3TxbgSxeLLdIbt5c9FiQQBYXTyPFBEFwtD7o1asXw4YNo2PHjmg0GtLS0rjtttvo378//v7+HDlypMr8Gk9o2bIlb775Jnv27GHPnj1cddVV3HTTTQ4BmT9/Pu+++y4LFy5k9+7dNGvWjNGjR1NYWFjzL5UuIzabTTIajV75y83NlTZu3CitXr1a2r9/v0efWbPGJIEkBQaKUm6uUVq40CyBJHXvXv64ioqKpMjIPAkk6YsvzJLRaJRKSoxSZKQoyUGL5f+aNBGlGTMslV5futQs3XST1elnyv5t22aSMjKMVW5X8a9x4xKpTx9btT9XX/6io61Sbm6B9OWXJR5/pmlTm7R6dbF07bWVz7f9b9my4ir34+MjSj/8UCIVFBRIBQUFUk5OgTR1qsnx/qOPmqS8vALH+2X/3nxzhxQUJJ/3qCibtHdvoVRQUCDt2lUkRUXJr/v7i9LSpcVOP+/p308/FUvt2l28vj17WqW//rq4z/z8Aumbb0qk9u2rvseupL/nn6/8rPTta5XGjZOf50ceMXl0flNTC6TgYPmZfu+90mpdm9TUVGndunW1ur72v4MHD0rz58+XGjVqJDVu3Fjy9fWVrrvuOmnVqlVeHX9DQkKkzz//XBJFUWrWrJn05ptvOt4zGo1SUFCQ9Mknn9R4/1eEWSwrK4vt27cTGBhI06ZNPZ5BrFol//wJE0QMBhxRYnfcUX6Wc/q0mrS0IFQqiWuvld/btk1w2T9+/nwrc+aUX7VcdZWcP7NypftjW7PGTK9eEs2aVW/F0qePhawsA3v3NtxLmpSkJiQkgCZNJBITi5w67ity/ryK66/3ZcoUC0895Xxae/vtvvz4YwmBgZLL/RiNApMm+fDll/KqUqOBd94xORI1P/pIx0MP+VQKVQbo3j2HlSuziIwUSU1VMXq0vBLq1Elkw4bicgmX77yjQ3J9GE5JSRG45RYDt97qy7FjKho3Flm40MjGjRcbV23erGbkSF8mTzaU63dypWMwSPz1V2WTWGSkyKpVWgRB4r77PDNvzZmjJy9Pdv5PmVK9vi/eTKCMiIhgypQpXLhwgYSEBHbu3Mno0aO9tn+bzcbSpUspLi5m0KBBpKamkpGRwZgxYxzb6PV6hg8fzvbt22v8PQ3aLCaKIkePHiU+Pp7OnTsTHR1drbL79gq5MTEip07B1q0qBEHittvKf96eGzFwoNVRrNBeGqYibdqI7N2bVen1adOszJvn/qF/9lkrI0ZI9OvneaRRt24iLVtK7N1bv0NKq8P11/syY4aeTZtKmDIlzaPP3HWXAV/fHN5+u8CpeeW223xZuNBIt27u2tQKPPWUD3PmyAIgCPDEExY+/bQUtVpi2TItd91lqFSTTJIk2rWTAwJ697aRkyP7a1au1BAWBitWlDJ1qhlJEnj1VT1Tp/rgSRpEfj7MmKFnwAA/1q6VS7Y8+aSZffuKmTLFglotO/THjzcwbpwv+/b9e0TFzsyZJhISKv/uU6fkZ/umm6x06lS1SezwYRWLF8vP0Jtvmpw2RXNHdcxinlD8T0ZuQEAAXbt25emnn2bs2LG12mdiYiL+/v7o9XoefvhhVqxYQZcuXcjIyACgadPy/XCaNm3qeK8mNNhprtFoZPfu3Zw/f96RVAblQ5Gr4tAhWdyioyV++UW+MYYOlWhZodHj77/L7117rd3RBsuXOz919913mA8+KF89OTpaXrXYCyk6IzBQYuZMGx9+qPbYPu/jI/tUzpxpGDb16rBqlZbQ0ABuu+0M33132qPPzJ3bjI0bL/D66/vx86t8D0yZYuCxx8xcf737Wembb+qZPl3vcCLfcYeVH34odcySb77ZQF5e5c81aSKxenUJ111nxWQSmDJF9tdoNPDuuxcTMX/6Sct11/m6bFFts8k+k169/Fi4UK7tdc01VnbsKGb2bBNBQXJRyXvv9WHYMD82bGiYjnpvkJFR+VkZMMDmeNaee67qcHdJghdf1GOzCdx4o4WhQ6tfNLQusvNVKpXbYKTq0rFjR+Lj49mxYwePPPII99xzD4cOHXK8X3GyL0nO+/94SoMUl+zsbLZv346Pjw+DBg0qFwvu6colM1OOuAHo1Eli3z75v6+5pvwsJy8PtmyR37v6atlEsmLFxaStihQVVQ4dfPJJm8sWxnZ++MHC6dMCzzzj+UBhNF55olKRG24YgskkcOhQEe3bV31dV69uw7p1nVi4MJkmTSovDx5+2MDVV9t46CH3g84XX+h4+GEfR++Wa6+1sXKlnEQZF6dh7FhfMjIqn38/P/j++1IeeEBeqcyY4cPzz8vFPadOtbByZSkhIRL79skJl/v2lX8E4+Jk89YTT/hw4YKK9u1t/PxzCT/9VEr79hIZGQJPP62nVy9/li+v/6vVdu3qtkGaPbKrLKIIkiQwdqzFI0f+mjVqNm7UoNNJvP56zZzndVER2c/Pz6tBTzqdjnbt2tG3b1/mzp1Ljx49eO+992j2T1+OiquUzMzMSquZ6tCgzGKSJHH8+HH27dtH+/bt6d69OxpN+cHYU3Gxr1qioiT8/CA5Wf7/zp3Lm1TWrlVhtQpERBQRGSnPeL/5xvkM5brrCpk3L7Lca82aSbRtK7Fjh+tTPWmSjauukujevWEktl1q7r+/JYsW6di6tYSJE6u2hW/a5MvChR357TcbHTpU3v7pp30IDCzi+efdR5ItXarlnnt8sAfrDBxo448/SmjaVOTgQTVjxvg6bV+gVsslY+z+mkWLdNx9t1zif9gwGxs3FtOxo41z5+TKzb/8ouHMGYH77vPhmmt8iY+XS7bMmWNkx44SxoyxkZ8Pr72mo0MHf774ouHcJ8eOabjuujN1su9+/WyOsi92evWyOQTbk1WL2Sy3cwB4/HEzUVHVdIj9Q11URPa2uFREkiRMJhNRUVE0a9aMdevWOd4zm81s3ryZmJiYGu+/waxczGYze/fuJT09nQEDBtCqVSunJ7664hIdLWKzwdGj8v937Fh+pvP77/IpGjRIroKamorLApU9e1Zewj78sI333nN/082bZ+WNNy6dvbx7d5GXX7ayYoWF+HgzublyZ8qyf5s3b+HgwTTi482sXGlhzhwrI0Z4r7FbdXnvPR1XX+3L4sVGXn+96p4ue/eqmTzZwLffmunTp/L98NZboaSknOHRR4+73c+qVVpuv93gKErZtavI2rUXy+7LAhNQ6V60+2uWLJErBqxereX6633JyhJo00Zi/foSxoyRw53vu89Aly7+/PKL3QEt+1Uef9yCzSZ3i4yM9Oftt+tvLTl3/Plny6o3qgHHjlV+DtVqsNkERo2y0qdP1ffrokVaR1+bZ57xvGJERerC5+LNBMoZM2YQGxtLWloaiYmJzJw5k02bNjFp0iQEQWDatGnMmTOHFStWcPDgQe699158fX256667avydl91YKwgCUhXhM7m5uSQkJBAUFMSgQYPQal2bAzwXF/nG7NxZ4tQp2cSk10tERl7cxmKBv/6StxsyJBtRbOwyaVL+LeX/32CQGDxYZNYs1zPNN980EhYmMHt23V6K9u1FZs60cc01YrlaSRcuyCVsjh0TyM8X2LhRYNcuFdnZwxzbBARIdO0q0bKlxBNPWNFqITNTcCSgXioSE9UEBQVw4UIhrVtLTJni3h6dkqJmwgQDv/xSyvPP69m8ufw5XrGiHXfckcOzz6bw9tvtXe5nwwYNt9xi4OefS/Hzk1e769aVMGGCgcRENS++OJAWLfK5+urKn735ZivNm5dy++0G9u6VM/9/+aWENm0krr/eytq15Y9pzZpSBg2yYbXCN99oePllPdnZDWYOeMlo1EjkwoXy5yU62kZCgvzaCy9ULRRZWQLz5smC/corJmqTr1gXZjFfX1+vrVzOnz/P5MmTOXfuHEFBQXTv3p01a9YwevRoAJ5//nlKS0t59NFHyc3NZcCAAaxdu7ZWSZyXXVzcIUkSJ0+eJCUlhfbt29O6desqT7an4pKUdNGZn5ws3xTt20vlokS2bpUH3CZNJKKji7HZQklMdH4D9e8vsnhx+cH2tttEli93PwDfeaeJJ5+sun6QRiPVqGnTsGEir7xiJSZGQhAgJwe+/17Fhx+qPQ5bLiwUiIur/N1hYRKtW4vk5ppJTfWe47EqGjUKIC2tkN9/L+GGG9yXjTlzRsV11xn4449SZs+W+P338hOTpUtDmTrVn08/LebBB13PFLdt03DbbQZ+/FEWmKZNZef97bcbiIvTctddoSxbZmTkyMr33sCBNtavL2biRF/S0lT06eP6ej/zjJ5Jkyx89pmuUhFGhYs4m1+eOydgsQiMHGll4MCqx4DZs3UUFAj07Glj0qTa+YZEUUTnxTo/3i5a+cUXX7h9XxAEZs2axaxZs7z2nfX27rW3IE5LS6Nv375ERkZ6pOKeiIsklY8UO3LkomO/LAcO2FctIlqtCqvVys6dzmNIb75ZrOTgHTVK5I8/XJ/i0aNPYjCIfPZZ1SuAmgjLihUW1q61MHiwRHy8wIgRWsLD9dx/v9Yr+TDZ2QL79qlJTTWg10tV9lXxJpGRAbRrJ7J1a9VNVHJyZN/Gq6+aGDeusg/m88917N2r5Ysv3McHx8ZquPlmDQUF8kAUHCyHGffpk4nRqOK22wz89Zfza9m+vcR771U2582ZYyQrq5B16+TfcfCgmv/+10cRFjeoVBLnzlU+Pzk5clHZt96q2im/b5/K0cPnzTdN1HbR4e2Vi93n0pC57HewM8Go2II4xFXNayd4Ii5nz8p9tdVqiQ4dJIczv0OH8oPj6X8iYCMj5ZC8EyfSSE72cbrP4ODKA2urVpLb/h5jx57kySe9P+O/5RYb586ZuO46kaQkga5dtQwapHMbVFBbTCaB4mIBQbh0AtOpkz9+fhIJCUVote6/Ny9PYMwY1wKzaJGOPXvUVQrMjh0GrrvOyrZt+0lLS8NmK2TmzD1cc00pJpPAXXcZWL26vEHg7FmBRx/1Yfz4ytdaFOVmXXbzjELVaNzYW6ZPN9Ohg3tfS0kJPPCAD6Iol86Jial+6HFFvO3Qb+gVkaEeiEtZJMl5C+Lq4Im42Fct7dpJ6PW4XLmcOiW/3qhRCTk5OWRl+VFSUvnObtxYYv368qeyUyeRAwdcC0vv3iIdOhSxdKlzsaopzz9fzDffWAkMhNdfV9Onj86p47OukKRLGx7dq5c/paUC+/YVV7lyys6Ws/lff925wHz8sY7jx1VVCkxiYmNefbUPmZlF7Nu3D5XKwn//u59rry3CYpHrkf36q4bCQnj9dR29evnx7bdaJElgwgQL+/YVOUKhX3pJ7gC5fn29tlDXK8xm5/dYu3aeOeX/9z89KSlqmjUTeeutqoNDPKG+O/QvB/VGXNy1IK4OnoiLPUkxOlpCki6GIbsSl9LSIwQEBJCd3cLp/u680+ZIwrQzfLjEn3+6Pr0PP2zj2LFgt8dZXR588DDPPFNMTg506KDjjTf+HQPWwIF+mEwCO3dWLTDnzqm46SZf3nrLxHXXVbazz5mjp6hI4JNPqlrB+DF7dj/69Bn6T7KbhmnTdjJs2BmsVoEpUwy0aBHAW2/pKS0VGDjQyvr1xXz1lRE/P/CgnYdCNZk27TA5OefcFnpct07NZ5/JE9aPPzZSpiFtragLs5iycqklgiC4bUFcXdRqNZIkuW3GY1+5dOkikZUFOTmyOad9+4sDk9VqJTVVFqkRI9oQFBTEkSPOVxnO2lzHxIisWeN6JnPLLSILFnTz5Cd5xOuvW7n55pNkZECLFnpH3/B/C337+iFJsGtXcZUtAU6elP0jCxcaGTq0ssA89ZQP/v4wb577We2mTRomTfLDbFbTqlUrBg3qz9SpgZW2mzs3mSVLUmne3MSLL+rp2NHfMcA1JPr2rb35qK649dZihgyxkp6ezvbt29m5cyfHjh0jJyfHMdnMzpbNkwAPPWRm1Cjv/Z66yNBXxKWWVNWCuLrYL7C71UvZhEn7f7duDfZKC8XFxWzcuIv8fNnh17VrACqViuRk58eWmVl5IHdnzWvdWsLXF1JTvdOr4brrbDz7rI3cXAM9ejTxyj4bIt26+aPTQVxc1U7+AwfU3HefD19/baRXr8r3yt13G4iOFvnvf907hzdu1DB3bl/27tUybpyBKVMqi0t6egAvvaQjOjqUjz5qeKJiZ88eNbfcUr2CjpeC0FCR+fMl2rRpQ9++fRkyZAhRUVFYLBYOHz5MbGws+/fH88ADIufPq+jY0cZrr9W+jH1ZvG0WKy0tVcxitUUURbctiKuLJ+Ji/GdCGhhYNlJMXumcP3+euLg4zObmjm2CguwNw5w73yuGRXbtKpKQ4HrlcOONNsf3eoMvv7RitcIDD9Q8m7a+U5XD3k779v40bSqxfXvVArNli4ann9bzyy+ldOxY+X654QZfrr3W6mgK5oq9e5swblwjtmzRoNdLPP20iZMnCx0D8cKF4fz0U2uPjr++UxeNz2rLnDkmwsIu3h9arZYmTZrQuXNnYmJi6NevH7GxbVi/PhC1WuTxx3eSlnaYzMxMLM7KXNcAJVqsMpfdKN+qVSuPC016giAIqFRy2LAr7PeAKF7sz92ypURycjKnTp2iW7duHDggi0tEhHzTlpRoSE93vnLRaMoPfD17Shw75vohHDhQYuZM78xyfv3VQnAwPPKIhuLi6u9z7Fgb8+bZCAmR2LtXxbZtAsnJAhcuFKHTmWjePJfrrguka9cwFi9W8cEH3rllgoOlajWxslgEVCrJZUvpsjRrFkBeXiF//VXCNde4z4P59VctkZEiP/9cyqhRvpWaTg0f7sfevUXk5wv88EPVtbz27CkmIEDigw90/Pxz/a/9VV2cdYK8nFx9tZU773T9rAuCQFaWP/PmyQP1jBkmbrghnJycHFJTU0lKSiIgIICwsDBCQ0MJDAyska9XMYtV5rLfKXVRO0etVrv1udjvAVG8GNaYlZVFZmamoxDmqlXycbVqJQtHbq5rc4Y9299OkyYS27e7nsUMGCAyaVLtB54+fUSuuUYkNlbgyy+rd2OvWmUmOlriySc1dOvm7LcF/fNvE77//uKr4eESCxZYOXhQqLIYpzvy8gRCQiRycz2//qIoYDBIlJZW/ZnQUH/y8or4/vtS7rrLfbj3ggV62rSRWLaslLFjfSvtv08ff44cKaKgAFavdn/dunVr2ANCQ6J5c5FPPzVWqoxRFpsNHnzQh8JCgUGDrEyfbkWtDnP4dcv2tj/9T+6Bva99aGgoPj6eRXPWRYZ+QxeXy24Wqwuqihiz3wM2G1itclSQKKrLVVi2R4pFRPDP+85PVUiIxPbt5e/uRo1g507Xd3zFkv415d135Rnb6NHVs+OPG2fjkUe0tGmjd7QT8JSzZwVuu03La69puOEGGz/+WHOzQm6uQNu21Vu1emrFEEWBO+7w4YYbrMyeXXW46ZNP+lBQIPD550anuTqdOvljsdQ/k9C/FZVKYvFiI40auTeXLligY8cODQEBEosWGSv1aSnb237o0KH06NEDPz8/zp07R1xcHDt37iQlJYXs7GyXY4o9gMjbeS4N3Sx2xYqLJ2ax8+ezOHdOnq0EBoaVq7B8+nT5lQs4v3EGDxYxmcoPOmFhkst8j7FjbdXuROiM1q0lBgyQWLnS80t4//3yw7FqldorPWB+/13NbbdpGTlS5LPPaiYyx4+r6dTJc4GxWgWCgjw7gX/8oeXbbzU88YSFe+6pOv/h7rsNdO9u4403nDt7K9YBuxLQ6yXuv99MixYNKzZ6xgwzgwe7v2/271fxxhvyxGv+fCORke7vG0EQCAoKIioqij59+jgCA2w2G8nJyf8EBuzn1KlTFBUVOWoi2q0k3hIXSZIoLi6uVV2v+sBlF5e6Mou5W7nYZ6bnzp0nMlLOXamoRfaPX1wVO79x2rWrfMO6+0mtWkFqquv3PeWpp+QDvuMOz8xrBw6Y2bWrbmbeGzeqeOABLQsWWDyqRFuRI0fUjBzpeW2n/HzB48Hw0UcNpKSoePddEwMHuv+OwkKBu+828J//WBg2zPm2119vYdmyEqfvNURMJoHYWDVffumdZMJLwciR1iqTJbOy5GtptQrcdJOFu+6qfu0we2BAp06dGDRoEP369aNRo0bk5uayZ88etm/fzuHDhx19UBSzWHkuu7jUBe58LiUlJRQVFQLQvn0HAgNlh29FcbGvSIuK5H9dmcWcXX+zm/s+KEiqtinKGRMnim6DBsry448Wvv5a5WjrXFdMm6YlMVFg2bLqr2I2btQwYYLnn0tPV9Gzp2crnr595Yv5zTfGKnNgEhLUNG0awJYtzlcpq1druf1290ECDY2UFDVr1zaMFslNmoh89lll81ZZLBaYMsWH06dVtG0r8sEH7v0yniAIAn5+frRq1YoePXowbNgwOnfujFardfhq9u3bx4kTJ8jLy3Pr8/UERVzqKa7MYpmZmWzfvh29Xv3PdjqHQ7/i5gEB8iBkFxdXKxe7b6Ys7vwCwcEQG1u7O71xY4mmTeGrr6q+fJGREqGhEm+/XbVJJzpa5NNPLSxfbuHFFzP4z3/O8PLLVubPt9K3r2cPi9kscPvtWv7+u/q9MX77TcMjj3j+ufh4NYMHezYjjYyUQ5RXrvR81TFiRN12UaxPNIQGZIIg8fnnRpo0cT9BePFFPdu2yX6WpUtLCQ72/rGoVCpCQ0Np164d3bp1Q6VS0bJlS0pLS0lMTCQ2NpbExETS09MpLXVf7aEidrNYQ/e5XHYj8qUwi0mSxLFjx0hLS6Nr1674+8sXzWbDpbjYJw2FhcI/+3A+kDu7b9zNqoKDJY4ckXAlVp5wyy3yQO+JYOzaZaZJE/eJqa++aqZbN4EJE7Q8+KD9dzZzuu3kyTYSEgRHxWhXjBqlY/lyCxMmeB4VZ7UK/PyzwP33l7B4sWergx071PTubWPfPvfns7BQ4P33tTz5pIV584y88ELVUUBlcyeudKoTtXe5eP55MyNGuF+tLlmi5bPPdP8IUWml5n91gT2Bsnnz5jRv3hxJkigsLCQnJ4fz589z9OhRDAaDIwItJCTErX+mpKQESZIavM/lsotLXVBWXMxmMwkJCRiNRgYOHEhAQECZPJeL4lIxEsh+XQtlCxqS5PxmcNZXwt2Ew2Q6T35+KFDzUORu3USPoqa6dBFZuND9oLt7t4l+/TyvimBv8Tx+vJwIeuSIa5GZMEHLsmUWbr/d89+alaUlISGH3r1L2bev6jJANpvguEZV8dJLPkycaGXsWCsvvFD19r/8cuXlqTRUbrjBwn//635Vu3OniunT5Xt55kwz1113acrVVMzOFwSBwMBAAgMDiYyMxGq1kpubS05ODkePHsVkMhEcHOwQG39//3KT7OJ/2p4qZrF6iF1c7KX7NRoNgwYNcswEyoqLXRwqr1zkWau9va2r5D1ncQPuBv7S0oxal7jp1k3yKMP/558tVeaiVEdYyvLrr2qOHFHx0kvuTUe3365l3rzd1dr33r1NufZaz7dPSVE7LULpjM6d/enRo2GbG/5t9Opl47PPjG57rqSnC0yaZMBikR34zz1X85bF1aWqMGSNRkPjxo3p2LEjMTExDBgwgMaNG5Ofn8++ffvYtm0bhw4dIiMjg/z8fIqLi1Gr1bUeJwDmzp1Lv379CAgIoEmTJowfP57k5ORy20iSxKxZswgPD8dgMDBixAiSkpJq/d2XXVzqyiyWn5/Prl27aN26NT179iwXZqxW20MIy65cyu+jolnMlRnLmTnBnbh06NAFQajdaQ8L80xcKoZIl+Wxx7zjT5g9W8PYse5niC+80I+VK49Ua78LF4ayZEnVJVzs/Pmnhjvu8CwgQBTlboVXXfXv8ak0VFq0EFm6tNStNcBohEmTDGRmqoiOtvHxx7V34FeH6iZQ+vr60rJlS7p3787QoUOJjo5Gr9dz6tQp+vbty8SJE2natCmxsbGY3UUHecDmzZt57LHH2LFjB+vWrcNqtTJmzBjH6ghg/vz5vPvuuyxcuJDdu3fTrFkzRo8eTaGnJgEXXHZx8TY2m43s7Gzy8vLo3bs3UVFRlQTMPskwm137XOxmMbtDv1Ej53drdnbl11z1mwDIyam9qcXXF/Lyqt7uvfecC+Lw4SIrV3ovOuiPP9RERkq0b+/avn3TTZ3Yvj3D430WFAj8+aeaKVM8/0xiolBlNJidM2cENmy4Iq3CVwz+/hI//lhK8+aur6kkyVWs9+1TExIi8cMPpU4jOOuS2iRQqlQqQkJCaNu2Lf3792fTpk3cfPPNlJaWcscddxAWFsZNN91U45XEmjVruPfee4mOjqZHjx58+eWXnDp1ir179wLyqmXBggXMnDmTCRMm0LVrV5YsWUJJSQnfly3NUZPfVqtPewlvrV5KSkrYuXMnFouFsLAwl6X7W/9TQ/DYMcHR/yM/v/w29tft4tK+vfPvzM6ufOzuJhtZWYIjEq2m+PpW7YDt21fkq6+c3/Bz5li9kkRZlrQ0AbUaWrRw/duefroxH3/seT7F0qU+REenebx9UpKGkhLPfldKSsMIvf23Imfgl9Ktm3uH/EcfafnhBy1qtcSSJaVVJkrWBd6siNyiRQsGDx5Mo0aNSE9PJzY2lpiYGAIDK1fbrgn5/wx0oaGhAKSmppKRkcGYMWMc2+j1eoYPH8727dtr9V31Qly8QVZWFnFxcQQHBxMZGel2265d5Rs2MVHlaBB29KhA2R5DFx368mAVGKgmLKxyaFhWVuX9G42uH4jMTMr1jakJctka99tUbNlcFrtT3tscOaJi4kTXJrKdO9W0aSNWqxXyypXR/PjjlZO0qOAZ06ad5Npr3Ztb161TM3Om7JeYPdtUZSRZXVEXdcV8fX1Rq9X07NmTF154gVatWtV6v5IkMX36dIYMGULXrl0BHAmgTZs2Lbdt06ZNHe/VlAYvLvYw4/j4eDp37kyXLl3QaDRuM/S7dZMHt4MHBVq2hNBQCatV4PDhi7PeoH/qNubkyL4ZQRBo0aKo0r6KiwVatiw/WJ44ccbld58/LzBsWO3CIzMyBEJD3Q/QJlOuy/c++aTuZu3vv69h6VLX333NNb6cO+d53P/27QGEhakYNqz+NqpS8C63357FHXc4mbWVYfduFZMnGxBFgbvusvDoo5evz4y364rVVRfKxx9/nAMHDvDDDz9Ueq+i9UiSpFpblOqFuNT0R5jNZvbt28fZs2cZOHAg4eHhAFWKS5cuEoIgkZEhkJV1UWzK9mBp00bCYJAoLhZISZFfb9HC+Qy6YgkYiyWAVq2cC0hamsA119ROXM6dg8aN3W+Tnn75cjTuuCOE55/PdPn+Rx9lcNddBR7v7z//0dGmzb8n5+TfzM03W5g+/bTblUBysopbbvGlpERg1Cgr779/aR34FfF2o7C6SKB84okn+O2339i4cSMty1TObdZMzmeruErJzMystJqpLvVCXGpCQUEBcXFxCIJQLswYqq4t5u+PY7A6eFCgRw95sD9w4OIdqtFAr17yNvaaXK1aOReXin3bT58OY8AA54Phjh0q2rSp6te5Jz1doGlT94PtkSONavcltSQmJtjle6+91oZ77tnl8b7S0lR89ZXifL/SueYa6z+lXSSX4nLmjMD48QZycwX69LHxzTelbru+XgrqwizmLXGRJInHH3+c5cuXs2HDBqKiosq9HxUVRbNmzVi3bp3jNbPZzObNm4mJqV3zwQYpLmfOnGHnzp20bNmSXr16oa2QyahSqapsQHbRNKaie3f5vytmnffrJ4vOnj3y6y1bOjfnFBfnlfv/vXsFunZ1PfifP+/20Kpkzx4V0dHuxSUvT3AbZVPXjB+v47PPXDvvExOHXcKjuXL44AOj066ZDZ1hw6wOoRBF0elgnZ0N48cbSE9X0aGDjZ9/vvSRYc6oz43CHnvsMb799lu+//57AgICyMjIICMjw1GSRhAEpk2bxpw5c1ixYgUHDx7k3nvvxdfXl7vuuqtW310vxMVTs5goihw8eJDk5GR69epF27ZtnX62KrMY4Bj8ExOFMuIilCuH36+f/D+7d9t7uzgfLE+dKl9KxGgU3JaA2batdqd90SI1ISFVbzd1qvNzEB3tmVkuNNRIbq6JceNqNpi98ILrJLBnn63/tazqCzfffNGf8MQTPiQnX1mRbp075/DEE+s5duwg586dw2KxVHqui4rg1lt9OXpUTYsWIitWlNab8jz1uVHYxx9/TH5+PiNGjHCUp2nevDnLli1zbPP8888zbdo0Hn30Ufr27Ut6ejpr166tdfmZBmNrKC0tJT4+HoCYmBgMBtfdBasyi0F5p36nThJarUR+vsDJk2APNrMXazxwQKC0FMLDzWg0svO/LCdOVF7CuqtVt22bwMiRIhs31vyGzM+Hfv1s7N7teqBp3Nj5w9e2rYQnYfM5OT6MGSMycqTIqlXVP8acnPpfr6ohsGLFlVuGplcvGytXahCErmRnZ3PmzBkKCwvJz89HFEXCwsLw8Qlk8mQ/9uyRc1lWrCgt02fp8lMXDv1Gjbxj1pY8aB4lCAKzZs1i1qxZXvlOO/Vi5VIVFy5cYPv27QQGBjJgwAC3wgIXxcXdibWHIx86JKBSyU5+kMOT7bRuLbcstloF4uMF9HoVbdo4j0oZM6b8aiApSW7j64xVq9TMnVu77PCVK22MG3fI7TZPPul8UPrtN88fhN27Vcyf32DmIAoNiC5dbCxfXkJwsNykq02bNvTr189R3NFoNJKQkMittxbx998aDAaR77/Pp1On+tXYzNsO/ZKSkgZfVwzqibi4MotJksTx48fZv38/nTp1Ijo62qPlp/1Cu+upEBUlO+JNJoFjxwSnEWOCUN7vIggCffqcdbq/iIjyQhIXp3IZFXb6tEBUVO1mXm+8YePqq6sOv3z6aeci1qFD/XpAFf5dtG0rsnJlKc7ynAVBIDg4mC5dolm9ehSbN7dAo5F45ZVEzOYt7Nq1i2PHjpGbm1vrvinewNtmsSuhxTHUE3FxhsViYd++fZw5c4YBAwbQokULjz9rFxd3pjGVqrzfpUePi36XsvTtK78eFycXwhw40HmIbcVyLJmZgtvw2b//rt2pP3kygMaNuzB4sPuHa8UK5zOqo0fr7aVXuMLp0sXGmjUlLiMe7Q79N9/U8cknst/u44+NPPpoG4YMGULr1q0xm80kJSURGxvLgQMHSE9Px2i8PN00G0qey6WmXo4whYWFxMXFAdSo9IF9FuGpUz8+XqB7d3mQ3rtXVcGpL7++bZsNHx8frrrKn2bNKj8UP/9c+eZyN5lZsEDNu+/W7mH4+GMN77/v3ryWlibw0ENXXnSRQsOkd28bf/zhWlgAbDaRDz4IY+5cWVjmzjVy++3yfa7VamnatCldunRh8ODB9O7dm8DAQDIyMoiLi2Pnzp2kpKSQk5NzyVY1dbFyUcTFS5Q1i6Wnp7Njxw5atGhB7969K4UZe7o/T5z6Q4bIN9+vv6ro10/C318iPV1gxw57gzCJ0NDjCILE+fO+FBU1AUSuv975TTtiRPnXf/lFxS23OD+GXbtUXHtt7W7+d9/V0KSJRGCgexPbokX1N7rojTcuXWn0S8WkSaaqNyrD/fdfeefAGYMHW/nttxL+KWvlFEmCxYtbs3ChbC97/XUjjz3m3PwrCAIBAQFERkbSp08fhgwZQlRUFFarlUOHDrFlyxYSEhI4c+ZMtbtBVoeGkER5OagX4gLy0vLQoUMcOXKEnj17ugwz9hRPxGXcOBFfX4njx1UcOiRw443yYL90qdwmef/+/RQWnmbYMPnm/uOPxoiiyLhxzkWhpEKO5eHDqkrZ+2X5/nstAQHVG4gqMneumr//rtr30rNn3c3ixo2reXDCzJlXXkhydHT1zsfixTqefz4Dg+Hy+w/qiquvtvLLL6W4M0JIErz2mo5vv5UT/ebMMfLUU56XddFqtTRp0oTOnTszePBg+vbtS3BwMJmZmezYsYMdO3Zw9OhRsrOzqxwbqoM3zWL2FscNvQsl1BNxKS0tZefOneTl5TFo0CAaV1XbxAM8ERd/f7jhBrugqLjzTnn7n34SiI3dgc1mY9CgQdx/vyxyv/8ehsViY8QI0dFMrCy7dqnw8amYre9aIGfP1jJ//pZq/a6KfPSRBr0eRo92PzDFx6uq7LtSU1atch5NdtNN7utDXamcPl391fb8+c0oLa0Xj6PXuekmC0uXluLrpnO1JMErr+h45x3ZFPa//+Xw+OM1rxcmCAL+/v60bt2a3r17M3ToUNq2bYsoihw5coTY2Fji4+M5ffq0o61wTanPeS6Xk3pxN1utVoKCghgwYAC+7u7AauCJuADccYc8KP/0k5phwyQaN7aRk6MiJaUNffv2RafTceONIsHBEufO6di50w8fn8qhx3YqRoj9+quKyZNdH0dmZu1nKMOGafnuu6ofxD/+UDNq1KWZHa9cGcc99xy+JN9V3/j44ytvNVZT7rrLwpdfGt2WaJEkeOklPQsWyMLyyCOHmTq1cpHY2mDvBtmpUydiYmIcIc8XLlxg586dxMXFkZyczIULF6q1qpEkyesOfSVazIsEBgbSpUsXr14gT8Vl9GiRsDCJ8+cFli07x6BBJwGIjY1wmOUMBrjtNnlQXrlStgW7Mo3Zi1zaKS4W8PFxuikACxf2YNmyfNcbeEBensDnn6tZvrzqYpB//61i4MC6FZgHH0ymUSOJTz6pXW2i+oJerwRE1IRnnjHx0UdGNG7SpCQJ/vtfPR98IKvPO+8YGTcuzasrgYoIgoCfnx8RERH06tWLYcOG0aFDBwCOHj3Kli1b2L9/P6dOnaK4uNjtqsYeNOCtsUsURWXlUt/xVFy0Whg/XraR//STlieekL2Nv/+uomyXz3vukfe1aVMIubkwdqzotOnXoUOqSv6NAweESs5+O1lZBkpKap9tPGOGBp1O4KabjlW57Y4ddXfZr78+jWuvlRg8OIa1axt+8uWQIRZMpvobEFEfUaslPvjAyCuvmN1GTEqSXCLoo49kYVmwwMgDD1hc1harK9RqNY0aNaJjx44MGjSIAQMG0KhRI3Jycti9ezdxcXEcOXKErKwsrBUaKdnHGG8dr739sOJzqcd4Ki5FRUV07RoPwI4d4fTta6B9e5HSUoGVKy+ent69JTp2NGE2q/jpJxVBQbgM8a1o2du5U8XQoa5XC//5TxDff59T9Y+qghtuCGDs2NQqu/eVxdv1mVavjmTChE5e3eflpHnzy30EDYuAAImffy7lnnvcm2lFEZ55Rs8nn8jC8v77Ru6/3/LPe5dWXMoiCAK+vr60atWKnj17MnToUDp27IhKpeL48ePExsayb98+Tp48SVFRkUNsvHW8Jf9EBSlmMS/hrTbHZfFEXOxRJCNH+tCqlURhocCff6q48055cP7hh4szVkGAW26R7cBffy2//sQTtkoOfIDt21UEBZV/fflylSP0uSKiKLBlSzpqde0H+oceGs3y5cZK3+8KZ22aLwU+PhJz59b/ENyNG6/cCC5v07KlyNq1JYwa5f65M5ng/vt9+PxzHYIg8eGHpdx770UxkiTXJfcvNWq1mrCwMDp06MDAgQMZOHAgTZo0IS8vjz179rB3714EQXC6qqkJxcXFaLVa9HrXRV8bCvXjCtYBarXa5cWWJImUlBQSEhLo2rUrnTp14Pbb5Qdi6VKV4783bhQ4d+7i5yZMKEGtFtmzR0VSkkDTpnD//c4fpIrlXZKSVI6+Mc745JNuHDnincG2fXtf9uwxuyxcWR9ISDA2iMKWFy40/If8UtCjh42//y6psuJ2fj5MnGhg+XItWq3EF18YmTz54nMqSVK9EpeKGAwGWrZsSY8ePRg6dChRUVEIgsCJEyeIjY1l7969pKWlUVhYWKMItKKiIvz8/Opkwn2pqTdX0NsnU61WO83QtZeVOXfuHAMHDnR0YrNHja1ZoyI0FAYMEBFFgWXLLq5emjQRGDToAgDvvSe/Pm2aDY2m8k0UH6+qVLl1+XK123DgF1/U8MQTtZ/9ALRvr2fTJrPLqLbLSWpqCc8/r+Wtt67car//JsaOtfDnnyVV9g/KyBAYO9aXLVs0+PvL5rNbbil/v9uf2YYwuKrVavz8/NDpdI5VTbNmzSgoKGDfvn1s27aNQ4cOcf78eSwWz8Kq7eJyJVBvxMXbODOLFRUVERcXhyRJlbpXdu0qER0tYjYL/Pijirvvlj+7YIGaf3xsqFQqJk5MBeCbb1QcOCAQEQGTJjkfwIODyz9s584JbpPIfvlFTf/+3lttREfrmTbNyltveUewvMG8eWZ69TKwcmXNnf16vUSfPkoEV31gxgwT339vrLJpV0qKwOjRviQmqmncWOSPP0oYObLyNbSLS31duVSkbBiywWCgRYsWdO/enaFDhxIdHY1OpyMtLY2tW7eyZ88eUlNTKSgocLmqsYchNwRxrYqGcQVrQEWz2Pnz54mLi6NZs2b06dPHaVmZ//xHvtnnzdNw660ikZESGRkCH3ygduyzU6dcbrnFhiQJvPiiBkmC556zoVJVvlkSE1WVzARLl6oZOzbN5XFPnqxl61bv+SLGjtVRWAj7919+/0br1iZeeEFHXl7NHxxBkHjuOQt799Y8gmvECEWYaktgoMSyZSW8+KL7iDCQ6/WNGePLyZMqoqJE1q0rcVkxoqGJi6sESpVKRUhICO3atWPAgAHExMQQHh5OUVER+/fvZ+vWrSQlJZGRkYHZfPHZ9Gbply1btjBu3DjCw8MRBIFff/213PuSJDFr1izCw8MxGAyMGDGCJE8aPXlIvbmCdWEWs/d0SUlJ4cCBA3Tr1o0OHTq4/K7//EckIkLi7FmBzz5TM2uWLE7vvKPmwoWL7ZNff92KTiexYYOKv/6SS7xMnOj8YSkurvxd+flNadfOXfSYhl9+qXl2ckVee01Dr146fvstlYkTqw5VritOnqy9/+J//7Pw/fe1C3FesMAzoV29+vJU2a3vdOpkY+PGYq67rmqRXrdOzfXX+5KdraJXLxvr15e4rRbekMxi4HnpF71eT3h4ON26dWPo0KF069YNHx8fTp06xdatW9mxYwf//e9/OXTokNdyXIqLi+nRowcLFy50+v78+fN59913WbhwIbt376ZZs2aMHj2awrI5GLWg3oiLt7GvXJz5V1yh1+MQlLffVnP11SI9eogUFgrMm6d2+HGiouCxx+QH68UX1Vit8PLLNvT6yg9NWppAr17lH8Jt2wwMG+b6AUtOVrFhg+DIrfEWN94YRVBQOAcOGBk27NLO3g0GiSFDavedTz1lIS5OzYkTtbtt27b1zPQYG6vkt1Tk2muLWbu2kPbtqz6HP/yg4fbbDZSUCIwcaeX330uqDDKxO/MbirjUpGilSqUiODiYtm3b0r9/fwYPHkxQUBBHjhxh4cKF7Ny5kzvvvJOvv/6a8+fP1/jYrrvuOmbPns2ECRMqvSdJEgsWLGDmzJlMmDCBrl27smTJEkpKSvj+++9r/J1luWLFxWKxkJubC1DJv+KOO+4Q6dZNJD9f4J131MyeLYvNokVqzpzRIIoikiTxwgs2wsIkjhxR8eWXKtq3l3jlFeeD5/79ajSa8iuVxYvVbsXjww81dO4seT0PZfFiX7p392HECCvx8SXcdVfd+mMaNZJ46ikL115rY+vW2g3WGo08E64NH3xgwtNxa/FiDddco5jQQE6MfOyx0zz5ZCzx8e57qIgivP66joceMmC1Ctx6q4WffirFk0dQFMUGIyzgnbpier2ezp07s2LFCqZPn05MTAzt27dn4cKFtG7dmqIi75bCAUhNTSUjI4MxY8aUO47hw4ezfft2r3xHvREXb95QGRkZHD9+HI1GU+2y/SoVzJ4tDygffaSmY0eJkSNlR//cuXJ7ZZvNRnAwzJwpD8yvvaahoACeesrm6P9SEau18qneuFFF9+6ub5wXX9Qwb17dDP6vvaanZ09fbDbYvr2UX34x0ratdyLL9HqJm26y8uOPJt57z8x772lZsaJ2pqwPPijhnXdqH13Wtq3EiROe3WuZmQ1nkKtLWrWy8ccfxcydG8zgwTH07duXoKAghx9z586djs6QBQUikyf78NZbsgl02jQTn33mvrZYWS5nAmVN8HZdsdLSUlq3bs1rr73Grl27OH/+fJ2UgsnIyACgadOm5V5v2rSp473a0nCuogdIksTRo0dJTEwkMjISrVZbI9EaM0Zk2DARk0ng9dc1jtXLsmUaUlMDHXbhBx4Qad9eJCtL4K231KjV8Omnsj/GGRWF59QpAZ1Ows/P9ex46lQty5d7z/9SkWXLNMTEGJg40Ydbb7WxcaORLVuMvPRSHlFRntU8Cw2VGDfOyiuvmFm92sjhw6Xk5QncdpueSZNq72cZOTKD6dO9l2+yY4fngp2YKDitgP1v4YYbzGzaVECfPibMZjNWqxWDwUCrVq3o3bs3Q4YMITIyErPZzIYNxxg6FFat0qLViixcWMRrr1Xt8C9LQxOXuqiIXNahHxQU5LV9O6Pi+ChJktcm+g3nKlaBPX8lI+P/2zvv8CjKtY3fsy29V5IQSEgICekB6U0QQ00QGyqCIkcFOQLniArHgooIqNgAAUUEBRFDkSI9BQSU9EooCSmkbLLpm2ybme+P+WbIppfdZBPnd11c57jZ7M5udt/7fZ9yPyUYM2YM7O3tuzyzgSDACcrPPwtgbAw88QRTIbZ/vx/3uGIxsHEj8/+//FKIpCQCPj4kli4tbvFxb9wQNDsdxMdbYNq0qjav57HHxPj9d/1Xe33yiRhTphhj4kRjfPSRNSZMoLBnjxIXLyqQmtqAtLQGpKY2ID29AVlZDbh7tx5paQ345RclhgyhsX69BLNmGcPT0xSxsbrZzQmFNP76ywlqdece75FHWv7bq9VyXLzY8Th2UZH2ZNJ/CkZGNL74QoVfftHA0VEMkUikNT5co9FApVKBIAg4ODigttYfa9ZMRm6uFWxt1fjssyS4uV3EjRs3kJOTg+rq6g41FfZFcdG1I3JPmFay+eempxSpVNrsNNNVDOav2B21bDwWecyYMTA3N++wt1hrPPQQjXnzSFAUgXffZSrHRCIaiYlOuHTpwds2axaFuXNJqFQEFiwQISYmCRER2QgObnl3fPdu87f8+HE7PP9829c6d64EO3aoIRb33Eq3b58NXnzRCFOnGiMw0AQBASYIDDSBv78JfH1NMGSIKQICTDB9ujG++EI/DZEkSaC+vvOfjY8+almM79zJhEzm2KnHaqnirz/j40MhNlaBpUs1IAgmAS0WiyGRSLh/QqEQBEGAoij8/LMAs2aZoqxMAH9/ErGxDVi8eCjGjx8PNzc31NfXIyUlBVeuXGm3qdCQu/NbQtdhsbq6uh4RFw8PDzg7O+P8+fPcbSqVCrGxsRg7Vjdu5n3nr9gKJSUluH79OgYMGKCVX+muuADA+vUkhEIap04JUVJCYOlS5tSxYoUZZDLmPgQB7Nypgbs7iXv3BNi82QdjxjyE776jOiUE+/YJOduZ1nj1VTH++18SkZF8krk9vviivsXbg4IG4e+/+77jrL5YvlyNK1cUCAho+bMrEAggFAohkUggFhvjo48ssHy5BVQqArNmqXDyZBUGDFBDrVZDKBTCyckJ/v7+GD9+PAICAmBkZIS8vDxcuXKlRauUf2JCvzG6nOVSV1eH5ORkJCcnA2CS+MnJycjPzwdBEFi5ciU+/vhjHD16FOnp6Vi8eDFMTU3xzDPP6OT5+6y4sPmV9PR0BAYGwtvbW+tDyZYNd2fC3NChNBYvZgTltddEeOstDVxd5SgqEuLll0VcuESlKsXrr1+FSEQhJsYOu3YZwd+fbrMzviXLmEOHhJgzp23h2LhRBJEI+Owzw+m6NzRee02GgwftWvzZsGH2qKnpO4tXT+HuTuKPPxTYvFnd5sRIlooK4IknjPDFF0ym/s031ThwQAVbW0mL4TOKomBpaQkPDw889NBDGDNmjJZVytWrV5GVlYWqqqo+JS6GfHKJj49HSEgIQkJCAACrV69GSEgI3n33XQDAmjVrsHLlSixbtgwjRozA/fv3ce7cOZ3Z/RN0d1ZfHUJRVIf9d9RqNVJSUtDQ0ICQkJAW/xhMgvESpk2bBlFb04raoawMeOghCYqLCSxeTGLUqL/x+uujoVIR2LJFjRkzbiE3NxcBAQE4csQFq1czhnyXLqkxciSNNWuE+Oqrlp/fwYFGWVnzL9LChST272/7AysU0vjpJw0WLOj//lwCAQ2K6viCc+aMAuHhzSe0iUQkDh1Kwvz5I1r9XR8fCtnZ2nsuCwvGMbu/Mnt2EZ59NgmOjiZwcHCAvb09LC0tW13kExMFePZZCfLzmbHeO3ao8OSTLVu5kCTJbfLYpYYgCK6XRSAQgKIoVFVVQSaTobS0FCqVCjY2NrCzs4OdnR1MTU0NVnCSk5Ph6OgIFxcXnTzeww8/jFWrVuns9NCb9LmTC5tfIQgCo0ePblXlWUHpbmjMwQH44Qc1CILG3r1C5Odb4H//qwIAvP22EDExNVyD5quvUnjsMRJqNYFnnxWjooJJ+EdEtHwNZWUEBg5sLqj79wvx9NNtXzdJEliwQIyXX07HyJEN3XqNhszEiWSnhAUAVq7Urntlw5ODB9OorLRv83cfeqh5OXZtLQF/f8MzAO0uLi4Ujh5V4NAha4SHj4O7uzvkcjkSExMRFxeH9PR0rfwITQPffSfC1KlGyM9nrFwuXVK0KCzAg1yNkZHR/4fRxK2eaqytreHt7Q0PDw9YWVnBwcFBa1jXrVu3IJPJuv191jX6rhbry/QpcWHzKy4uLu32rxAEAYIgdPJhnDyZxtq1rJHlMIwaVY3x46XQaAT47LNRoGmL/39OYMcODTw9aeTnE/jXv0QgCOCHHzQYMaLlxamgQIzBg+XNbv/lF2GHHI137vQHYIS9e/ufVcn776sQF9f2Cc7MTPvgvWuXEjdvan+sly9nQoje3gRqa9veYV68CNjZNX/f09MFePhhw1rYugpB0HjlFTUSEhTcZ0wikcDFxQWBgYGYNGkSAgMDYWRkhJycHMTGxuLy5UQsWKDC669LoFIRmD1bgytXFAgK6ljgQyAQQCQSaRUFiEQiCAQC0DTNCY1Go4FIJIKLiws3rGvo0KGgaRrZ2dm4fPkyUlJSUFhYiIaG3t9U6TIsRtM05HJ5v5hCCfQRcWE/WOnp6QgKCoKXl1e7x2SCIHSS1GdZu5bExIkUGhpEePVVG7zzTinc3Snk5grw2msP8i9WVsDPP6shkdA4eVKIVatEMDEBoqLUGDSo5S/ivXtmLXbinzsnQGgo1WrfDMuNGwIsXmyMt95S4fnn+0cu5uRJBd5/v+3OO3t7ulkl16ZNzb/orFXSsGEUbt16cH9X1+YiUlQkwssvJ7T4fHFxAjz7rKbDg9gMEX9/CtHRSnz2mbpVh27WdNHb2xtjxoyBo+MErFgxEidOWEMgoLBkSTbefz8VGk15l75fbFFA01MNTdOQSqWQSCSc2NA0DVtbW24E8ciRI2FjY8MN+rt+/TrXwNnSiA19o4+Efk9Ui/UEBiMurYmFSqVCQkICpFIpNwWuo+hSXIRCYMOGe7C0VCInxwpHj/ph3z4NhEIav/4qxN69D97KkBAaO3dqQBA0du4U4o03hHB0BI4fVzez4WeRyYgWnZUTEwUYMoTGxIntf3E++USCfftE+O47JUaO7Ju77Mcf12DTJhVmz26eM2mMlRWN8nLtz8zbb1fj7l3t/NbSpQ8clMPCtPMpY8a0/J7m5vpj0qTm5n0aDYGffxZh9GgKTz3VerNsT0EQHX9+ExMaH36owpUrilZdJFriyBEhHnnEGrdvG8HJicbJkwq8844xABpZWVmIiYlBUlISCgoKunySYPMuqampkEgkGDp0KIRCYYunGmNjY7i5uSE0NBQTJkyAp6cn1Go1MjIycPnyZaSlpaGoqAhKpbJL19JZdN3n0p/CYgaT0KdpWst6GmDyK4mJibCwsEBgYGCnE/NxcXEYPnw47OxarhzqKBRFISsrCyUlJcjIGIg1awIAAAcPqnH3LoH//U8EExMa584xSXyWvXsFeOUVJnS3erUGGzaQuHGDQGSkuEtTGEeMkCI+vuPi+uWXKvz8sxB//903DBgvXVJg+nQjaDRtvzdmZjTEYmhZ94eEKJCU1FyQLl1S4JFHjECSBG7ebMAjjxihoIARmK1bVVi1qvnpyMiIRmqqAj4+Jq1eg0RCY/RoEhIJAZmMGQ5H0z2TdO5sgcPcuRps3KjG4MEd/6rL5cBbb4mxZw/z+R0/nsTevUoMGPDgPmwYp7y8HOXl5aiqqoKZmRns7e1hb28PKyurDu3qlUolEhISYGZmhoCAAK3fYYsCaJpuVv0pEAi4fzRNo66uDjKZDOXl5aitrYWZmRns7OzaLVDoDpcvX0ZwcLBOQlkajQa2tra4d+8eBg0apIOr6126Z/ikR4qLi5Geng4PDw8MGTKkSx8MXZxcVCoVkpOToVarMXbsWNjb38KLL5Zjzx57vPKKCFevqnD5MoGzZ4WYM0eMM2fUCA5mvgCLFzMVcCtWiPH550wJ8fr1JC5dUmP2bDEKCzv3muLjHREcTCEvj0BlZfu/+/rrzML5wQeVuH69BqdPG+YH9sQJBX78UYSHH277tAIAzs4UnJ2ZxbwxYnEVAG3Xa29vCsXFBEiSwNChFGxtaU5YAGDs2JY/G0olgU2bRMjJqYenZ8t1uSoVgbg45utjYkLBz4+EQiGAXA7U1HSt8bMtbGyUqKxkLHA6Kiy+vhQ2b1bh4Yc7Fy5KTibwwgtGuHWLea9Wr1bjvffUaLq3IwgC5ubmMDc3x+DBg6FWq7nFPSUlBTRNc4u7vb09JC0YjCkUCiQkJMDKygp+fn7NxIgVD+Z1M+LCVqCx/9j7mZqawszMjLOjqaiogEwmQ2pqKnctdnZ2sLW1bfFauoIuw2KsQWV/ybkYzMkFYHYwbP9KQUEBAgMDOxUGa8r169cxaNAgDGi83eoE7MnJ0tISAQEBEIlESE9Ph0BghFdf9cNffwng70/hyBE1Fi0S49o1AezsmBPM8OEP3tbt2wVYvZrZAb7zjgbr1pEoKADmzhUjK6vzH0wzMxphYVS7ye6mzJ2rwdSpFL77ToS0tN6NiI4aReKDD9TYvl3U4amUw4dTEIubC8v8+TmIivJsdv9Dh5Q4flyIAwdEWLZMjWef1WDcOOY0YmxMo6ysAfb2JlAqmy/WBEHjjz+UcHKiERLS+glGnzg6UtBo1Kio6JyvmpUVjXXr1PjXvzTohGcrKAr46isR3n9fDLWawIABFHbvVmHKlM7nMmiaRk1NDcrLy1FWVoa6ujpYWlpyQmNhYYGGhgYkJCTAzs4Ovr6+nd5AdrTUmb0WmUwGmUyGuro6WFhYcMJnbm7epc0rTdOIjo7G2LFjYWzc/saoPYqKijBs2DAolUqdiV9vYlDiwnaUKhQKhIaGdjv2eOPGDQwYMABubm6d/t2SkhKkpaU1OzllZmZCIBDAxGQYJk6UoLSUQEgIhUOH1FiwQIyEBAGcnGicP6/G0KEP3tovvxTizTeZRfTddzV4+20SlZVARIQAN250rVclOJgCSaJLQrF0qRpeXjTOnRPi4sWeCZt5e1P48EM1iouJFsNRbTFjBomMDAL5+dqvNTz8Ps6ccW12fx8fCnFxCnh6mkAuJ3DxogJ37hB4+WVmofb0pJCWpkBYmHGz6jIWFxcm+W1mRsPNrQOdhTrA05OCmxuNK1cEHTqhSCQ0VCrmfmIxjaVLNXjzTTXs2664bkZxMYGlSyWIjmY+C3PmaLBtmwrdjChzKJVKLnwmk8m4eUu2trbw9/fvlHN5SzQ91bQWPmOvhRWaiooKCIVCrVNNR8PvJEkiNjYWEyZM6Pb1A8Dt27cxduxY1NfX9ykLnNYwGHEhSRKXLl2Cubl5l/IrLZGYmAg7O7tOxS9pmsbdu3eRm5uLwMDAZiZu2dnZIEkSfn5+yMoiMH26GGVlBB56iML+/Wo88YQYqakCuLrSOH9eBc9GG+otW4R45x3mdS1YQGL7dg1qa+vw2GMaxMd33SwuIIBCYWHHQmUt4e9P4YknGB+ptDQBoqKEne4taQlfXybxPXw4jb/+EuDTT7v2BXzmGU2L0ycnTixDXJxDi79z6pQCeXkEli0zgqcnhdRUBVatEmP3buYaJkwgceaMEi+9JMHBg80f28aGRmUlE06LilLC05PGwYNCvPSS7tyZASa/M306CWNj4I8/hKir65igmJoCNTUPQmRPPqnBu++q4eHR+a/zyZNCLFsmgUxGwMSExubNKrzwAtnhuTedpbq6GomJiTA1NYVGo0FDQwNsbGy4U40uEtqdaeCsrq7mxKa+vh5WVlbcqaatBk6VSoUrV65g0qRJOknqJyUlYd68eSgvLzfYptHOYDA5F6FQiMDAQFhZWensje1szkWj0SAtLQ01NUxjZEuxT4FAwBUe+PrSOH1ajUcfFePvvwV44QUxfv1VjXnzmHBXeLgEFy6o4O7O/O4bb5AwM6PxxhsiHDwoRHY2gb17hXjrrT9x/fpMfPpp23+OxrvUxrAnl1GjSNy9S6C8vHO7nvR0AdLTtU8Svr4UJk8mMXQoDYEAkEqB+noCtbWMkaNIxAzvkkhoWFuTMDKqgUBQhbKyBpSXWyAlxRlZWabtlhO3xfTpJDQatCgsU6bIEB3dsrA8+aQGEydSCAtjQhUvvsgI540bDxYAFxdmsRk5ksLBg8wppajowftWWUnAzY3CrVsCTJhgjE2bVFiwgMSCBfVISBDgpZckXE6iM7i712Ds2HI4OUlw65Yt4uJMcOJEx76G7u4UNBqgtJTgihmmTSPx/vsqhIR0XlQqK4E1ayTc+xsUROGHH5Tw8dHffrO6uhpJSUkYNGgQPP9/51VfX8+dam7fvg0TExNOaGxsbLq0i2+aq2n8r/GaIBAIYGVlxc27b2ho4IQmNzcXEomEO9XY2NhoiQj7OLo6ZfSnSjHAgE4uAGProsta9fT0dBgZGcHb27vd+9bX1yMpKQlisRjBwcGtxjxzcnJQU1OD4OBg7rakJALh4WJUVxOYNInCjh1qzJ0rxp07jMX+uXNquDaK3ERHE3juOTFkMgIODhRWrfoTK1eOwOHDlVi50haVld2L3w4ZUg+l0hiFhX3zaD1yJImBA2kcOdLyojttWhUuXLBu8WeurhT+/FOBS5eEePFFI1hb08jKaoBaDQwebMLt9FevVuPDD9VITGTEw9qaxsiRlNakS2dnCu7uNFdt5+dH4YUXNJg3T8NVTalUQEEBgdu3CRQUCCCTMaMY3NxouLvTsLJiTkA3bwrw998C/PmnALm5nfu7DBtGgaKAu3eZ4gQAmDqVxLp1aowa1bXvy5kzArz2mgTFxQIQBI3XX2dOPka6PZhpUVVVhaSkJHh6erYaTdBoNKioqODEhg2dsWLT3dwGe5JhhaatUw1JkpwtTXl5OVQqFaytrTmxoWka8fHxmDRpUreuieXs2bN45513kJWVpZPH620M5uSiDzp6cqmoqEBSUhIGDBiAYcOGtbkTYY/SjQkJoXHihBqzZokRGyvAihViHD+uxsyZEty9K8CECRIcOvSgTHnKFBpXrqjw5JNipKUJ8O674yCX38fYsWmIjQ3FmjUOOHOm68fsu3eZ/ICXFwUTk67lZHqDhx4i4exM4+pVIW7caPn0OmdONU6csG71MX76SQUTE2DdOib89frrTLPgL79oh/rYhtbAQAp2djRkMgKzZ5OIiRFArWbuV1IiQFkZjbVr1di2TYTMTAHeeEOCN96QYNAgCv7+jPiYmjJFFhoNgcpKpmcpJoZAdjaB+/e79t5bWlIIDKRRXU1o/f2mTiWxdq0ao0d3TVSqqoA335Tgp5+Yr763N4Vvv1V1+fE6SkVFBZKTk+Ht7Y2BAwe2ej+RSARHR0c4Ojpy5cXl5eUoKirCzZs3YW5urlXq3NkoB/vdZk8gTUudm55qWI8zb29v1NfXc0Jz584dSCQS0DSNiooKWFtbd/sEw59c9IiuTy63bt2CWq3G8OHDW71Pfn4+srOzMWzYsDY/9CwFBQUoKSnByJEjm/3szz8JzJ0rhlxOYMYMEps3k3jySRGysgQwMqKxbZsGzz334PXJ5cBLLwlw9CizED7zjBKffUbB3JzCtm1CvPuuUYthsM4iENAYPJiGSgWDPM1MnqyARCJCTIyw1ddra8vcp6Sk9f3Qt98qsXAhiVWrxNi1SwwPDwrx8QoYGwOLFknw228Pfjcm5kEz4auvMs2nS5YwRRhvvtn81Prssxp4eVE4c0aIv/7SXwHE6NH1oCgV7t8X4f59plNbIKARGanB6tWaLoW/WM6eZU4rRUXMaeW11zR47z01TPRcDFdWVoa0tDQMGzasWwaPKpWKW9zZvAQrNHZ2djotCmDFhqXpqUaj0aCgoAD5+fkQiUTQaDRaZptdOWHt27cPhw8fRkxMTLdeh6HQr8Xl7t27kMvlCAwMbPYztjGytLQUISEhsLGx6dBjFhUVoaCgAKNGjWrx5zExTJOkQkFgzBgKu3dr8PbbQpw4wSxIK1ZosHEjCZGImZcdH5+AffsG4KeffEHTBFxcKHz+uRKzZ1NITxdg9WoJrl7V3WJmZUXD2ZkRms6GZ3TJhAkaaDRqlJfTuH277UqsMWNKcO2ac5v3+fJLFV56SYNjx4TcaOXff1dg6lQKMhng7f2g5FgopFFa2sAtqjExAsyaZQwzMxo3bzbg/ffF+P771heqQYMoeHvTUKsBzf+77dy6JWjR4bojeHlVITBQDJo2wqVLQlRXM49jakph1iwZZszIgr19NWxtbTnX4s4sXmVlwNtvPyhc8PJiTiutORToktLSUqSnp8Pf319nEw4B5vtbU1ODsrIylJeXQy6Xw8rKihObrpYXN32Olho4Wd/CyspK5OTk4KGHHuKaSWUyGWpqargGTjs7O1haWnboVPPtt98iOjoap0+f7tZ1GwoGJS4ajUanrqf37t1DZWUlN8+ARaVSISkpCRqNBqGhoTDpxNatpKQEOTk5bU5ru3SJwNNPi1FTQ8DVlcaBA2qcPSvAxx8zX+4pUyh8800Z8vIS4eTkhIKCAgCT8J//WHKTKufP12DLFhUcHYHffhNi3Tpxl0MsbTFwIAVjY0CtBurqiGaWKrrAzIzG0KHMQmZkBOTnE1rJ89YYNKgOeXlt+ywJhcw43hdfJHHjhgCzZhlBLie4nArA9G68/faD08jw4RT+/vuB0SdNA2PGGCMtTYDly9XYtEmNDz8UY/Nmkd667seMITFkSCXk8hrcu+eGpKQH1+fpSeHllzV47jkNrK0fdMKzC2l1dTXMzc3btcenaeCnn4RYt46pBCMIGsuWafD++x2b2dJdiouLkZmZicDAQDg4tFx8oSsUCgXXU1NRUQGJRMIJja2tbberuVoqdS4tLUVxcTFCQ0M5wREIBFCr1VwDp0wm4/zRWLFpLZ/72WefITMzE7/++mu3rtVQ6NfiUlBQgNLSUowY8WB+BzucyNraGv7+/p0ueS4rK0N2djbGjx/f5v1u3SLwxBMiZGcLIJHQ+OorZqFYskQEuZyAs7Mcu3eXYepUJ1y8eBGDBg2Cra0rPv/cAl9+KQJJErCxofHJJyo8+yyJ+nrg88/F+OILERQK/ZYpenhQoGlGcADA2JjZoSsUBJRKoL6e+ZlAAJiYMD83M6NhYsI4Q5MkU0kmEDD3azofpT2GD1cjI6P9EIetLY2fflJi0iQKGRkEZswwhkxG4OGHSRw5ooRYDCiVQHCwsVZ/zLJlamzZoj3q4MIFASIijCEQ0Dh2TImpUylcvy7Af/8rRlJS90+OAwZQeOQRCmFhFGprmVNVfLwFlwcSiWjMmUPi+ec1mDaNQlsbXTY8VFZWBplMBoFAAHt7ezg4OHB9GrdvE/j3vyVco21AAIVvvlG16s6tawoLC3Hr1i0EBQV1236ps5AkicrKSi58plQqYWNjw4lxZzaTrVFZWckVJzg7O7fZwFlbW8udampra2FhYcGF8iwsLLiNwfr161FRUYE9e/Z0+/oMgX4tLk1DWGxjpKenJzw9Pbt0bJbJZEhPT+9QhUhNDSMmbEjs5Zc1mDIlF6+/7orSUlOYmtJ47z0VZs3KRVlZCWpqamBpaYmysoH48EN3pKUxC+zEiSTWr1fjoYcoJCdXYe1aGpcvu+ikF8VQEIuZcF1je5a2GDlSgd27NfD2FiAuToCnnzZCdTWBESNInDqlBGssu22bCGvWSODoyISxKisJHD+uwLRpzRfZZcsk+PFHEczMaBw4oMS0aYzIXrsmwOHDQsTECDtUfuzgQCMggEJICPPPzIzG3bsCnDkjRHS0gKv4AoCwMBKPP07i6ac16IoZBTtoiz3V1NQocfp0APbvHwi1WgATE6Zb/7XXOtet3x3y8/Nx9+5dBAcHdzjcrC9omkZ9fT33/lRVVcHU1JQ71XQlEc9WvXl5eWHgwIGdauBkNwZsAydBEBCJRLh58yZX3fr111/r9D1ozPbt27FlyxYUFxdj+PDh+OKLLzBhwgS9PJdBiQs7QEhXlJaW4u7duxgzZgzu3LmDe/fuISgoqFuWMuwHa8qUKR26P0UBH38sxEcfMSckf/9K7NpF4J13LLjO+JEjSWzbpoK3txJlZWUoKyuDVFqBEyeG4uefvaBUMh/MKVPqMHduAmbPdkVDgyu++kqE/ftFLdqX9BU6O+XR1JTCa6/dx5QpWVCplPjzTz9s3eoBtVqA0aNJ/PqrkusqLyggMGKEMerqmPkjJ0+KYGND486dBrSUslAogMcfN+K61JcsUWPVKo1WY2JlJXD/PoHCQgIKBQGBgDmhWVrScHNjBDI/n0BSkgAxMYyYNA1nennV4plnRHjySXSp6bE1zpwR4L//FSE3l/mshYaWYuXK2wgMtICDg4NOe8haIzc3F/fu3UNoaCisrKz0+lxdQaPRaBUFUBTFNUza2dnBqJ1a7KbC0hQ2Z9zRBs6amhpcvnwZ69atQ35+PlxcXLB8+XLMmjUL/v7+Ov17HTp0CAsXLsT27dsxbtw47Ny5E9999x0yMzPhzjbj6ZB+LS7l5eXIzMyEhYUFampqEBoa2m1TuNraWvz111+YNm1ah39HoVDg66/zsHGjH+rrRXBxobFzpwI5OQTeeccINTUERCIa//2vBmvWML0GJElCJpMhJaUa27bZ4uJFV1AUs0hFRKjxv/9p4OdHo7QU+PZbMXbtEmm5BBsqIhHdrutxSwgENJ55huntcHenIZXSeOUVEc6eZRaDsWOL8O67d+DmxiwURkbmmDvXGJcvCzF6NAkbG6YDfvlyNTZvbn2ctlIJ/Oc/EvzwA7NAEwSNESMoTJhAwcuLwoABNIyNmXyGUgmUlBAoLmZ6XDIyCKSnC5qZVhoZ0Rg9WgNv73xMmVKJ2bOH6sSBgiUnh8CaNRL88Qcjis7OFD75RI2ICAUqKh4spAB0Wl3VGNbZorCwEGFhYX3CfLGx/xlz6qvR8j9rmstinQVaE5aWaNrA2dap5rnnnuN+duHCBYwcOVKnlWOjRo1CaGgoduzYwd3m6+uLyMhIbNy4UWfPw9KvxaW4uBipqamwsbFpszGyM8jlcly5cgWPPvpoh+7P7nQcHBwgEPjhqaeMcPs282FauJAJV3z4oRgnTzKLjY8PhW3bHlTyaDQapKam4tYtGocP++HsWVvQNJOcDQ+vw/LlwOTJQtTVAYcPC3HwoEin1WWGwPz5Gqxbp4aPDw2NBtizR4QNG8QoLycgkdB4/301/vUvOSoqyv8//CHD7t1BOHnSHebmFL7+WoUXXjAGQdCIj1dg2LD2P/KXLzN2NRcudP69NDVlwmJjxlB4+GESoaH1yMpKbNFSvjvU1wOffirG1q0iqFTMBuW11zR46y01mq7tNE2jurpaq7rK2tqay0N0p7+Cpmncvn0bxcXFCAsL67PDrljPMTY/wuay7O3tIRaLkZKSgiFDhnR5l99eA+dTTz2FmTNnYtWqVVAoFMjPz8fQoUN18tpUKhVMTU1x+PBhzJs3j7v99ddfR3JyMmJjY3XyPI0xKHGhKIqb191dZDIZkpKSQFEUpk2bprMvtEKhQExMDB599NF2j6zs2ABvb2+4u7uDpmlUVpJYv94Y333HVCLZ2zNeThIJsHq1BFIp85iLFmmwalUtyssTIZFIEBgYCLFYjIwM4MMPBThx4kFcZ9AgOZ55phYvvCCCq6spcnII/PIL4wbcm+XG3cHBgcbzz2uweDEzNpqimJPHe+89cJL286Pw/fdKBAY++AjTNPDWWyJ88w2zkXjnnURERQ1GZqYt5s6txb59VKd27AUFBGJjme76ggIBiooIaDRM4YJIBDg50XB1peHiwlTEBQVR8PKiwRYnsTPpu+r82xIUBRw8KMT774u5qruHHybx6aeqDlu3NDQ0aFVXsZYrDg4OncpD0DSNmzdvory8HGFhYTDtiTK0HoDNZZWXl6O0tBQKhQKmpqZwdXWFg4NDm55jnXkOttRZJpMhKCgIzzzzDHbt2qWjV/GAoqIiuLq64s8//9SqdP3444/x448/Ijs7W+fP2e/EhaZpFBQUIDs7G56enrhz506HTxkdQaVS4dKlS5g2bVqroQ2apnHnzh3k5eVxZZhsDJaNuV6/zjS0sQvlI4+QeO89FXbtEmPfPuZxRSIK8+aV46OPzODmpv1BTksjsGuXCIcOibhRvxIJiSlTSvDUUw2YNs0UNjZWiI8X4swZIc6fFyAx0bBPNEZGNKZOJfHssyRmziQhkTC78wMHRPjmGxF34rOzo/G//6nxwgvaSWqlkplhs38/8/599ZUKtbU01q0zgqkpie+++wtmZuU627G3B+uj5ebm1uWZRE25fFmAt96ScGMH3N0pbNqkxpw5XTeaZC1X2FNN4zxEa3NYAOZznpmZicrKSoSFhemkCsvQYENhAwcOhJGREcrKylBZWQkjIyMt/7PulDpXVlZi9uzZcHBwwM8//6yXsm1WXK5evYoxY8Zwt2/YsAH79+/HzZs3df6c/UpcKIpCZmYmpFIpQkJCYGJigpiYGEyfPl1nJxeSJHH+/Hk8/PDDLX7pSJJEWloaqqurubEB7DGYFRYWlQrYulWETz4RQ6UiYGrKLJqDB8uwcaMYaWmMb7qREY2XXtLgP/9Ro2kfWk0NcOiQCLt3i5CR8eA1WlsrMXp0KcLDFZgxwwgDBthCJhPi0iUhzp8X4q+/Ou9xpQ/c3UlMncqIyiOPkDA3Z3bmf/7JuDNHRYm4qZ1WVsz7sHq1GtbW2o9z7x6BF1+U4K+/hBAIaHzxhRoDB1KYP98IFEXgq69UWLJEA4VCwRVNVFRUwNTUlBMaa2trnSVQmXwZE0bRxVTB27cJvPOOmDO5tLSk8cYbaixbpmmxOKGrtDSHhW1OdHBwgJmZGQiCAEVRSE9PR11dHUJDQ3Uyz8TQYIWlqRcaSZJa/mcqlarLDa7V1dWIiIiAnZ0djh49qrf38R8fFmtp1HFHUSqVSE5OBkmSnLCo1WpcvHixzVNGV67x7NmzmDRpUrOdmkKhQGJiIoRCIYKDgyEWi7nSarbJqiVu3WJ6Ei5fZhOycqxe3QAfH3N88okY164xt5uY0Hj5ZQ2WLdPA1VX7z0bTwF9/CbBnjwinTgm1kvumpmqEhUkxdmwDHn5YjJEjrWBkJEF5OZCYKEBiogAJCQLcuiXAvXtElxLuHcHJicawYRo4OBQjMFCO+fNdMXgw83dRKpnrP3lSiCNHhCgufiB8Hh4Uli9nmgqb5hIoCvj+exHWrWNsd6ytaezdq4RIxFR+KRQEFi7UYMcOVbOdPVs5xO7YAXCLqJ2dXZc/M2xXuq+vb7fsTgCmMm3jRjH27ROCJAkIhTSWLNFg7Vo19NyXCKD15sTa2lpoNBqMGDGiXwy2akpNTQ0SEhLaNNkEoOV/xja4sqOeHRwc2uzOr62txbx582BqaooTJ07o/eQ3atQohIWFYfv27dxtfn5+iIiI6P8J/a6KS+PGyICAAC1TunPnzmHy5Mk63RGcO3cOY8eO1Upcsrsce3t7+Pn5NUvWtbcjJkkKmzZJsW2bK6qqmAooDw8Kb7yhhpMTjY0bxYiPZ16XQEBjxgwSL76owSOPUGh6Ilergbg4AU6cYGxnSkq0P9xWVkoEBdVg7FgSEyYYIyREArZqVKNhOujv3iVw754AZWVAeTnB/WtoYMYAq1SMIAiFjAuwkRENIyPA2pppbrS1peHkxHiaDRpEY/BgCsbGTP7BxsYGbm5+SEkR4fp1Aa5dE+LqVQEX3mOukcbcuSTmz9fg4Yebv0YAuHRJgHfeeRAiGjeOxLffqnDligCvvy6BSkUgPJzEgQPKdt1+Gye8y8rKUF9fz+1GHRwcOvz5KSgowO3btxEQENCt8EZFBfDZZ2J8++2DptkZM0h8+KEKvr6985UlSRLl5eXIzs6GSqUCQRCws7PjduztlfH2FToqLC3ReNQzu2FpXOrMCrFcLsf8+fNBEAROnTrVI0UQbCnyt99+izFjxmDXrl3YvXs3MjIydHK6bkqfF5f2GiPPnj2L8ePH6zS2fvHiRYwcORKWlpZa1+Dl5YVBgwZxYTC2nr09VCoVUlJSQFEUhg4Nxv79Zvj8czHnVcWKjK0t8PXXIvz554OV1t2dwuLFGjz//AMb+MZQFHDjBtPAd/WqADduCFrsi3F2VsHXl0JgoABDhjDW9S4uTLLa1hadjufTNFBbC0ilBAoKCKSnN+DGjQpUVNgjJ8cCeXnN3xcHByY89thjJKZNI1sUBIpiuum//FKMmBjmfbCwoPHuu2osWKDBunVMIyQAREZqsGePqks28mzjXVlZGaqqqtq1W6FpGrm5ucjLy+tW82BFBbBtmxjbt4tQU8M8x7hxTBNtT3iBtYVGo0FSUhIAIDg4mAsxsmW8bOe5g4ODVud5X4IVFg8PDwwePLhbj8VuWFihqa2txebNmxEaGorU1FSo1WqcPXu2R8u2t2/fjs2bN6O4uBj+/v7YunUrJk6cqJfn6rPi0jRp3lpj5IULF/DQQw9xQqALoqOjERwcDGtra+Tk5CAnJwdBQUEtJu7bgx3tbGFhAX9/f+7UJZcD330nwtat2iKzdKkGYWEUfv+dqQZjp08KhTSmTaMwd64GM2aQzXIzLEolEwr780/mxJCW1r4tvJERDSsrJs5vYUHDwgLcgs2+RJWKuea6OgJ1dfj/U07br3/gQAqjRlEYPZrC2LEkAgLoVm1PKiqA334TYccOEdclz471XbNGjatXhXjjDcZ/jSAYm/y33tK0aaPSUdRqNRcaYkf0NrZbEQgEyM7ORmlpaZd7qWQy4JtvxNixQ8Q1lfr7U1i/XoVHH6X0NhWyo6jVaiQlJXEh36YJbJVKpfUeiUQirfdIF5Ma9Q0bARk8eHC3haUlamtrsXPnThw+fBhZWVlwcnLCrFmzMGvWLISHh/ebkx+LQYkLwORO2oPt/WCTiW0dKVkh0KUNRVxcHHx9fVFUVMRVypibm3daWGQyGVJTUzFw4MBWq4lYkfn8czFnKikWMyGjBQs0qKgg8MMPIi4vAzCNf6NHU5g9m8Ts2SS8vNr+E1dVATdvCpCeDiQlqZGbS+L+fQLl5cZciK6rmJmRsLZuwNChAgwbJoanJw1/f2YWiq1t279bWwucOiXEb7+JcOHCgzkrFhZMmfKyZRoUFBB47z0xZ4Pv6ck4/o4bp59dPkVRqKys5HbsSqUSYrEYFEUhJCSk013p5eXAV1+JsXOniBtxHBBA4e23mQowQxilrlKpkJiYCCMjIwQGBrYrFOx7xIqNUqnkBn51JsTYk9TW1iIhIUFvwgIw7+PChQtx//59nDp1Cunp6Th9+jTOnDmDq1ev9rpVjq4xOHFRqVRo65Lq6+u5D3pQUFC7ycS4uDj4+fnB3t5eZ9d4+fJl0DQNiUTCNWd2JHHfmIKCAty6davDSV+5HPjlFxF++EGoZaTo4UFh0SINRoygcOMGk2dpWnLs5UVh7FgKY8aQGDuWwpAhdLs7YTZRWVhYhuzsGpSVqSAQWEMisQNBWIMgJGj8ZxKJAAsLxsDSzAyws6NQU3Mb1dVFCA4O7tCiq9Ewp6qYGMY65fp17RDe8OHMJMinntLg4kUhvv5ahIQE5rWamtL497+ZirqearXQaDRITExEQ0MDjIyMUFdXB0tLSy5Pw1ZWtYRUyojKrl0PSskDAymsXavGrFmGISoAs9lLSEiAubk5/P39O111yTo6s0LDJrzZEGNPWNK0ByssgwYNgoeHh16eQ61WY/Hixbh79y4uXbqk0/XIUOlT4iKTyZCcnAwXFxf4+Ph06IN+9epVDBkyRGezJGpqanDt2jVYW1sjLCyMK8sEOiYsNE3j1q1bKC4uRlBQUJd2K8nJBPbuZXpc2Lg8wHiUzZpFIjCQQm4uU3l1+bKgWfWXoyONsWNJBAdT8PWl4etLYfBgusWkOUtDQwOXg6isrOQWCEdHx2bxdZIkuTLVkJCQFhvraJqphEpLI5CYKERCggDXrgm0Xg/ACOMTTzCJfYWCEdjDh0UoLWXuZ2REY+FCpiu9pZyTvmDDRARBcJWBSqVSKzTE9kI4ODhws+Dv3CHw1Vci/Pzzg0R9cDAjKjNndr1XRR80NDQgISEB1tbW8PPz00k5PxtibDzwixWa7lTodZWeEBaNRoOlS5ciLS0N0dHROp1rY8j0CXGhaRr5+fncTt/Nza3Dj3f9+nW4u7t3uyQUYEpMU1NTIZFI4OnpiQEDBnDX2pEvnkajQVpaGhoaGhAcHNztbub6euDIESH27tUOiwHMQKuZM0mMH8/MX09OZhbv+HhBi9MeTUxoDB3KdJm7udFcMt/Vlan6srSkYW7OVIc1zkGUl5dDJBJxQmNmZobU1FQolQK4uAShpoZxHbh/n0B+vgB5eUwlWna2gAsDNcbGhsbEiSQmTWLyMBUVBC5cEOLkSW1HYgcHGi+/rMaSJV1zE+4OCoUCSUlJMDEx0apObAzbC8EKckaGFU6eHIa4OBtuRkxYGIm331YjPLz3cypNqa+vR0JCAuzt7TFs2DC9nC4oitKypKmvr9eyxtd3t39PCAtJknj11Vfx999/IzY2FgN6cgfUyxicuDSdRtm0MbKzO/0bN27A2dm5w0ZzLcFWAt29excBAQEoLCyEvb09XFxcOpxfaWhoQHJyspaViy4pLibwxx8CnDolQkyMQGvmi0hEIziYSZyHhFAwMgJycxmTxawsAbKziQ47K5ubM0l9IyMmmS8QABRFQq1mZs4oFEKoVEJoNO2LrUhEw9ubRmgoc12BgczfPSmJsdGPjRVqCZCxMY3Zs0k89RRTTdYb7RWsnYutrS18fX3b3FRoNMDp00J8+aUI168/EKCRI0vw3HOlmDZNAkdHB4OzTKmrq0NCQgKcnZ0xdOjQHgtb1dfXc5uWyspKzhqfdXTWVSM00DPCQlEUVqxYgcuXLyM6Orpba1BfxKDFRalUcv5gXe0CTkpKgo2NTZeTdGwnckVFBVcJlJGRgdLSUtjb28PR0RF2dnZtJjmrq6uRnJwMR0fHDofzuoNcDkRHC3HqlBDnzgma9bkATAmzvz+FYcNoeHsz0yhJknH5LSpinH7v32f+SaUEl0zvDCIRBWtrNeztabi7CzB4MAF3dxoeHkwfjEYD5OQIkJTENHFmZhJas04A5oQybRrTvT9jBgkdFv11GraayMXFBd7e3q0uuuXlwI8/Mq4J7HwaiYTGggUkVqxQY/Dgeq3GRNYloKds8duCXXR1aVnTFZo2uNI0zdmtsEaSXYV9je7u7vD09NThVT+Aoij85z//wdmzZxETE6O3IgFDxmDFhfVlsrGx0SrR7SypqakwMzPDkCFDOv27rLjRNI2QkBBIJBLObK62tvb/565IoVKpYGdnB0dHx2Yf/JKSEmRmZnI23T39ZaVppiny2jUBrl8X4Pp1IdLTiVbH9zo7M/0tjf85Oj6wmWcfk/1zMP0sNSgoKMCAAY5wcHDgTjRyuRL5+fW4f1+BkhIalZUWkMnMUFJihNralgXW0ZFGWBiFUaOY00lQUOvlyT1JRUUFUlJS2ux/SEoisHOnGL/+KuROgnZ2NF54QYNXXmk5J6Qvl4CuwDYCDx48WG+7+a7QuF+krKwMcrkcVlZWnCB3xkSyrq4O8fHxeheWt99+G8eOHUN0dDS8vLz08jyGjsGJi0ajQWFhIdLT0zFkyBB4eHh0a0HOyMiAWCzutHU1u7thxyG3lrhnq6qkUinnxcTGjRUKBQoLC7vdra1ramqY0NPNmwLcvEn8//8KOEfmnoAgaLi4qDB0KIWQECFGjGBExdW1/Uq2nkYqlSI9PR0+Pj5wdXXV+ll1NfDrryLs3SvinAIAJkn/yitqPPEE2WHvL5qmOSfe7rgEdIXKykokJyd3y1K+p2AdncvLy1FRUQEjIyMuT8MWTrQEKyxs6b8+oCgK7733Hg4ePIjo6Gj4+Pjo5Xn6AgYnLllZWcjJyWmzMbKzjwcwQ3E6ilQq5Xapnp6eWkN+2gtpNTQ0oLS0FHl5eVCpVDAzM8OAAQO4ZLchI5MBeXkCFBczoTH2n1RKoLYWqK1lGiRraxkbGIqiQVE0CEIAmgaMjQETE6Ys2MSEsYGxs2P+2dszTZMDB9JwdSVhYVGO2lom2U1RlFaIsacrhtri/v37yM7Ohr+/P/d5pGng6lUB9u4V4ehRIdcsKpHQiIgg8eqrGjz0UPeT9I1LeBu7BOi6A5412Rw6dGinimUMAXaoHvs+kSSpZUnDtiqweSQ23KcPaJrGhg0b8P333+PSpUsYPny4Xp6nr2Bw4lJcXAyJRKIzr53bt29DqVTC39+/3fvSNI179+7hzp07CAgIgJOTU6cbIxtbufj5+aGmpgZSqRQVFRUwNjaGo6MjHB0dW7QQ6SuwRRaVlZUICQnp1t+KdeFlT349uVtvj3v37iE3NxdBQUGwtbWFVMrY///4o0ircs3Xl7HgefppDfTVvtCeS0BXw8ZlZWVIS0uDr69vn69kommaC1ezljRWVlawtLREcXExBg4cqLcQFU3T2LJlC7755htcunQJgYGBenmevoTBiYtGo+EaEnVBTk4OamtrERQU1Ob9KIpCRkYGysvLERoaCktLS24qZkcbI1krF0tLSwwfPlzrC984tl5WVgahUMiV77Z1lDc01Go154sUEhKic8sKuVzOvUfV1dWwsLDQKnPuCUFuPFkxKCgE8fHW+OEHEU6eFHI9Q2ZmNB5/nMTixRqMHNmzpcSNXQLKysq4nF9nDSRZ92Z/f/9+2XuhVCpRWFiI3NxcANCawaJLSxqapvHVV19hy5YtOH/+PMLCwnTyuH0dgxMXXY86zsvLg0wmQ2hoaKv3UalUSEpKAkmSCA0N5RL3urZyYWEXB3a3TpKkwYaFGsP2d7A2IPq+TpVKxS2gbFMie6LpzLTEzsCeyu7ckSM9/SEcOGCiZbI5ciQjKPPnk83s/3sDtgOefZ/YOfDtuQQUFRXh5s2bBpcP1CVsKMzV1RWDBw/WymexgsyKTVdPyDRNY8eOHfjoo49w9uxZjBo1Ssevou/S78WlsLAQxcXFGDlyZIs/Zz+AlpaWCAgI6HTHPfDAysXPz6/ToYWmYaGGhgbY2trC0ZGpvDKUWRm1tbVISkrimup6+qTFNiWy7xPwoKrK3t5eJ7tQkiQRG5uJXbtccfasK9dsam1N4+mnmZHLAQEG9XVpRksuAU0FubCwELdu3UJQUBDs7Ox6+5L1glwuR3x8PFxdXZtt9loS5PZcr1uCpml8//33eOedd3Dq1CmMHz9eny+pz9HvxaW4uBh5eXkYPXp0s5+VlZUhJSUFgwYNwpAhQzqVuAeYD1d2djZKSko4l+TuIpfLIZVKIZVKUVtbCysrKy5P01tjZNlTGdtw1tu5IrY0lRUahUKhlafpSqhOrVbjl1/u4u23/VFZyQj6qFEkXnpJg3nzSPTFCb5NXQIoioKJiQnkcjk3frs/0pawtATr6FxeXg6ZTAaBQKBVDt7SxoWmaezbtw9r1qzBiRMnMHnyZD29mr6LwYlLd0cdN0UqleL27dsYN24cdxtN08jLy8Pt27cxfPhwDBgwgOtf6WgYTNdWLi3BzsuQSqWorKzkdleOjo4wNzfvkUW+uLgYmZmZOpmqqC9YQW4aFupohZ5SqcSVKyl48cUxKC83gq8vha1bVZgwoXfnp+gSmqaRlZWFoqIimJiYoKGhAdbW1lq9Iv0BVlhcXFzg5eXV6e8IRVGoqqriBFmpVHKtBXZ2djA1NQVN0zh48CBWrlyJY8eOYdq0aXp6NX2bfi8uMpkMGRkZ3ECcxnYyoaGhsLKy6nRFGGvlYmRkhICAAJ1bubQEWy0klUpRXl7OhTscHR11Ovudha2cu3fvHgIDA/tM+ESpVHILA1uhx75PLXW/sy7b8fGeWLfOC+7uFP7+W2EQ+RRdQdM07t69i8LCQoSFhcHCwoLrFTFEl4Cu0l1hae0x2eqzqKgonDhxAoGBgTh79ix+/fVXzJkzRwdX3j8xzMyxDhEKhVz1mUqlQnJyMtRqNcaMGQMjI6NOC0tVVRVSUlJ6zMqFRSwWY8CAARgwYIBW/iElJYVzltXVYCaKonDz5k2UlZVhxIgRPTopr7sYGRnBzc0Nbm5uXA+EVCpFcnIyAHDvk52dHScszs7OkMuZxsHJk6l+Jyy3bt1CaWkpRo4cyZ3kTExMMHDgQAwcOFCrkrHx+9RbTsVdQS6XIyEhQafCAgBmZmYwMzPD4MGDMWjQIBAEgWPHjkEsFuPFF1/EzJkz8cQTT2D27Nk6eb7+hMGdXLoy6rgtamtr8ddff2H06NFITEyEubk552Tb2RksvW3l0hKsVQ6bp1Gr1VqJ7s6eqkiSRGpqKhoaGhASEtJreR5d0/h9YsMdNE3DwcEBw4YNQ12dEW7eFMDSkjb4pH1HYUNhMpkMYWFhHQp9sS4BjZ2KDaXvqDVYYXF2dm7T8627nDp1CosXL8a+ffsQERGB69ev4+TJkxCLxfjwww/18px9mX4vLvX19YiLi4NIJIK7uzu8vLy6lLjPyclBfn4+/P39DTYR2tiKRiqVQi6XcwuDo6Nju4lupVKJ5ORkCIVCBAUF9Ui4rzeQSqVIS0uDnZ0dlEolVzjRuHy3r8OGf6urqxEWFtZlUWgcFtKnS0BXqa+vR3x8vN6F5fz583jmmWfw3XffYcGCBXp5jqbs2LEDO3bswL179wAAw4cPx7vvvosZM2YAYL7v69evx65du1BZWYlRo0Zh27ZtBuMM0O/F5e7du7h9+zb8/f3h6ura6cQ9SZLIzMxEVVUVgoOD+1SIqL6+nisIqK6uhqWlJVfi3HQBlcvlSEpKgpWVFYYPH95nmjo7S1FREbKysrQaBxUKBZfP6g/5B4qikJaWBrlcjrCwMJ01urY0x0cXLgFdpaeEJSYmBk8++SS2b9+OhQsX9tjn4cSJExAKhZyrwI8//ogtW7YgKSkJw4cPx6ZNm7Bhwwbs3bsXQ4cOxUcffYS4uDhkZ2cbxDplcOICMDvo7sLmDYqLi6FWq/Hwww9DIBB02sqFjUEHBQXpvBu9J1GpVFxISCaTwdTUlBMaiqKQkpICV1dXncarDY28vDzcvXu3zf6Opk4KAoFAp/ksfcOGNZVKJdcQrA/acgnoif4sVlicnJz0OnPm8uXLePzxx7F161YsWbKk178btra22LJlC1588UW4uLhg5cqVePPNNwEw66aTkxM2bdqEl19+uVevE+in4qJWq5GcnMx9weLi4jB+/HhIJJIOC0tdXZ3WTt7QF5XOwC6gbPiMoihYW1tjyJAheut8701omsadO3dw//59hISEwMrKqkO/17gslc1ntWSKaCiQJInk5GSQJImQkJAeC2uy4djGnl4dcQnoKuyUTEdHR70Ky/Xr1xEZGYmNGzdi2bJlvSosJEni8OHDWLRoEZKSkmBsbIwhQ4YgMTERISEh3P0iIiJgbW2NH3/8sdeulcUgy0AIgmg26rijsMk9MzMzjBo1CkKhEMbGxkhKSoKjoyOcnJza7REpLy9HWloaN/Oht3crukYkEsHJyQlKpRJSqRQeHh5QqVRIS0sDRVFcjqa9IWh9gcZJ7cbVUh1BIBDA1tYWtra2GDp0KJfPys/PR2ZmJtcn0psNriwajQZJSUkgCAKhoaE9WuFFEAQsLCxgYWEBT09PLZeAnJwcndr29JSwxMfH47HHHsMHH3zQq8KSlpaGMWPGQKFQwNzcHEePHoWfnx+uXr0KAM084ZycnJCXl9cbl9oMgzy5qFSqLomLTCZDcnIy3Nzc4O3tzSXumw5kkkgkXNd705h6d6xc+gpseWpxcbHWTp7tfGd36gqFQmsImqHt1NuDJEmkp6dDLpd3eZJpazRtcDUzM+MW0J52vFar1UhMTIRYLEZQUJBBbQhacglofPrrzOmqoaEB8fHxeheW5ORkzJo1C2+//TbeeOONXt1cqlQq5Ofno6qqClFRUfjuu+8QGxuLqqoqjBs3DkVFRVrr1NKlS1FQUIAzZ8702jWz9Btxyc/PR3Z2Nnx9feHq6tpq/0rj3gc2ps7mHsrKylBaWqozKxdDhCRJZGRkoKamBqGhoa2Wp7L+S+z7VFtbC2tra+696u2dentoNBokJyeDoigEBwfrVRjVajX3mWLt8BvnafQZZlSpVEhISICJiQkCAwMNOqTJ+uixQiOXyzvsEsAKi4ODA3x8fPS24Kenp2PmzJlYuXIl1q1bZ3BRi2nTpmHIkCF48803+bBYV+hMWIyiKGRnZ6OoqAhhYWGwsbFpszFSKBRypxY2KVlSUoLk5GTQNA1HR0eo1WqQJGlQO0BdwOaiaJrGQw891OaCSxAEzM3NYW5uDk9PTygUCk5obt26BXNzc+597Ckr/I6iUqmQmJgIiUSC4OBgvYeIxGIxnJ2d4ezsrJXozszMhEaj6VbfUVsoFAqud8vf39+ghQVgPlNWVlawsrKCl5eXlkvA7du3W63S6ylhycrKwuzZs/Hqq68apLAAjEArlUp4eHjA2dkZ58+f58RFpVIhNjYWmzZt6uWrZDDIk4tareacidu7X0pKChQKBRf26KxVfkNDA2cjP2jQIFRUVKC0tJRrRmRDQn2hS7kt2NdpamrKNZF2FbVazYWEWOfd1sKMPU1DQwMSExNhYWHR6wtu4+FVbN8R61PV3dNfQ0MDEhISYGNjAz8/P4NcCDtD09A1AC7EmJubyzli6Ot13rp1CzNmzMDzzz+PjRs3GoRQr127FjNmzMDAgQNRW1uLX375BZ988gnOnDmDRx55BJs2bcLGjRvxww8/wNvbGx9//DFiYmL4UuS26Ii4sIk9ExMTLs7c2Y571sqFLWdkP1Bs9UtpaSmkUilng+/k5NQncw81NTVISkqCk5OTzr+gjcOM5eXlnBWNo6Oj3kNCTamrq0NiYiLXdW9oC25DQwMXEmpsRNrZhkS5XM69Tn0uuL0F66ZQXFyMoqIi0DStVeasa5eAnJwchIeH4/HHH8fnn39uEMICAEuWLMHFixdRXFwMKysrBAYG4s0338QjjzwC4EET5c6dO7WaKDsydbcnMEhxaW8aZUVFBZKSkuDi4gIfHx/QNN3pGSys26+3tzfc3d3bvG9TG3wbGxsu92CIdhiNKS8vR2pqKjw9PTlvJH3Blu6y4TONRqNVEKDP019VVRWSkpL6TIVf04ZEsVjMLZ5tTSZl5w8NGDBAr42DvQ17MrOzs8PAgQO596q6ulqnLgF5eXkIDw/HrFmz8M033xiMsPQH+py4FBYWIisrC8OGDePMCSmKAkEQnbZyCQgIgH0nh56zu8/S0lKtrndHR0eDsy2/f/8+bt68ieHDh8PZ2blHn5sNCbGizHpUsaKsy4ZUVkC9vb0xcOBAnT1uT0FRlFZFFTuZlM3TsKJcU1ODxMREDBw4sE8IaFdRKBSIj4+HnZ1dsxOoSqXSCp+JRCItUe5MuPf+/ft49NFHMXXqVOzcuZMXFh3TZ8SFHcx1//59BAcHw9bWttOOxo2tXEJCQmBubt6t62Tt3VnbEENJcjcW0KCgINja2vbKdTSG9aiSSqWoqanhvLy6K8rsCbS/lI43rqhqLMrm5uYoLCyEp6cnBg8e3NuXqTdYYbG1tYWvr2+HxoWzosw2ubLC3Fb4uqSkBOHh4RgzZgz27NnT74p3DAGDFJem0yg1Gg1SUlJQX1/Plc92VliUSiVSUlIA6MfKpem8FWNjY05oerLvgaIoZGVloaKiQicCqg+aijLbI+Lo6NipMEd+fj7u3LmDwMDATp9A+wr19fXIy8tDYWEhAMDCwoI7/fXUwLieojPC0pTGLgFs6XxrLgFSqRQzZ85EcHAw9u3b1+eLdQwVgxcXduaGkZERgoKCIBKJuObIjuZXetrKhSRJLaFhj+5OTk56GezFwoqwWq1GcHCwweeDAO0eETb3wC6erXVzsyezgoKCft2TBDwI+fn4+MDBwUErT6PLzvfepjvC0hLsBoYdXVxaWoro6GhMmzYNW7duhbe3N3755Zd+6/xtCBi0uFRWViIxMREDBgyAj48PAHQ6cd/bVi5sPJ3NPQDgTjS6rKZSKBRcSXVgYGCf3I1RFKVlGsnOW2k8y5ymaW6QWWhoqEGezHQFOxqgpZBf0853mqa15r73pb+/roWlKSRJIj4+Hlu3bkVsbCwaGhrw2GOPITIyEuHh4f16c9KbGKy45OXlITMzEz4+Phg4cCBIkuzUDBaACZvcvn3bYOLx7CAmVmjYBju2mqqrJyr2ZMZ+OfvyDpaFtaJh3yulUsnNX1Gr1QgLCzN4l4DuUFJSgoyMDAQEBMDR0bHN+za27SkrK+NK51lhNmQ3b4VCgYSEBFhbW+u1X6e6uhpz586FnZ0d/ve//+HMmTM4ceIEqqurkZub26/Ci4aCQYpLYWEhUlJSEBwcDDs7O05YOnpaoSgKt27dQklJicGGTdjELbt4KhQKLaHp6HG9oqICKSkpfaYEtyuwi2d6ejo3QbIvlYN3lqKiIty8ebPLuSS2eIIt3dWnQ3F36Clhqa2txbx582BqaooTJ05obUqqq6s77JLdWTZu3IgjR47g5s2bMDExwdixY7Fp0yYuCgMY/sCv7mCQ4qJWq1FXVwcTE5NOC4tarUZaWhoUCkWfGdPb2MdLKpWirq6OK9t1dHRsteqFrZQaNmwYXF1de/iqew6VSoWkpCSIRCIEBQVpOQRUVVU1S3L3ZQoKCnD79m2uIrK7qFQqTmgauymweZreEpqeEha5XI758+eDIAicPn26R6eMhoeH4+mnn8bIkSOh0Wiwbt06pKWlITMzk7sOQx/41R0MUlxIkoRKpeqylYuxsXGfzTsATBEDKzRs2a6TkxNnGULTNPLy8pCTk9OvK6WAB/5ZZmZmCAgIaBbya7p49laVni64d+8ecnNzERISopfTNuumwL5fAJrltHoCpVKJ+Ph4rsBGX3+jhoYGPPHEE1CpVPjjjz96fbEuKyuDo6MjYmNjMXHiRNA0bfADv7qDQYrL7t27uRipi4tLh3IIVVVVSE5OhrOzs5aVS1+nqbU7+wVpaGhAaGgoLC0te/kK9Qdrc2JnZ9ehRC9bpccunqw7saOjY5td770NTdPIzc1Ffn5+j/1N2fwf+14pFAqtJld9WRz1lLAoFAosWLAAVVVVOHfunN5CX53hzp078Pb2RlpaGvz9/ZGTk2PwzsbdwSDF5cCBA/j2229x9epVjBgxAhEREYiIiGjVvqQzVi59GYVCgeTkZNTX14OiKG5UcWf7Q/oC1dXVSEpKgpubG4YMGdLp19a4wU4qlXJd7+wQNEM51bJTMouKihAaGtoru2s2LMsKTeMmVzZPowuUSiUSEhJgaWmpV2FRqVR47rnnUFxcjPPnzxtEEzFN04iIiEBlZSUuX74MALh69SrGjRuH+/fvw8XFhbvvv/71L+Tl5eHs2bO9dbk6wSDFBWD+GCUlJTh69CiioqIQFxeHwMBATmi8vLxA0zR27NiBYcOGISgoqF+Hh1QqFZKTk0EQBIKDg0EQhFYvDdsf4uTk1OvOxN1FJpMhJSUFQ4YMwaBBg7r9eI2LJxpXU+l7l96R68rOzoZUKkVYWFiP5gPagu0RKSsrQ0VFBUxMTFq0wu/sY/aEsKjVaixatAi5ubm4ePGiwawJy5cvx6lTp3DlyhW4ubkBeCAuhjzwqzsYrLg0hqZplJeX49ixY4iKikJ0dDS8vb1hamqKvLw8nD9/Hl5eXr19mXqDbSRlv5hNY+NszwO7eBIEwZ1oDDkc1BKlpaVIT0+Hr6+v1m5OlzQegsbu0tn3q6cKQNjxyxUVFQZdVt3UCp91vWYHoXUkT8MKCzsGQZ9NxC+99BIyMjIQHR3dbgl3T7FixQocO3YMcXFx8PDw4G7nw2IGBrvbmz17NmpqarjmsYiICMybNw/Dhw/vU4tpe7C5JBcXlw654DZ2Ji4tLQVFUVzeoSeTtl2hsLAQt27dQkBAABwcHHrkOVsaV8wKjb7sVSiK4qaBhoWF9ZlSavazxZ5qlEqllsFmSyfAnhIWkiTx6quvIj4+HtHR0QbT17ZixQocPXoUMTEx8Pb2bvZzFxcXrFq1CmvWrAHARCgcHR35hH5vcPv2bUybNg3jx4/H999/D6VSiZMnT+LIkSM4c+YMBgwYwAlNcHBwnxYaqVSK9PR0eHl5dSmX1LQRUaVSGeQANDahnZeXh+DgYNjY2PTKdTT2h5PJZJBIJJww66psl6IopKWlcT55htzg2BYteXmxJ0B2ZLFKpUJ8fDwsLCz0uumjKAorVqzA5cuXER0dbTDO2MuWLcOBAwdw/Phxrd4WKysr7qRq6AO/ukOfE5e6ujrs378fr7zySrMve11dHU6fPo0jR47g9OnTsLW1xdy5cxEZGYmRI0ca9K69KWy/g7+/v06O9+xiwAqNXC7nZq30dt6BbXjtrYR2SzQNNQLQGoLWlc8SSZJITU2FUqlEaGhonxs61xbsCbBxnkatVsPCwgLBwcF6++5RFIX//Oc/OHfuHKKjow3KMbq1zcgPP/yAxYsXAzD8gV/doc+JS0epr6/HuXPnEBUVhZMnT8LMzAxz585FREQExowZYzC79qaw1UPsaAF9uQsYwgA0iqK4EQis27Uhwk5GZN8v1tq9M24KrKkoSZIICQnp14aJ9fX1iI+PB0EQ0Gg0EAqF3IlZl356FEXh7bffxrFjxxATE4MhQ4bo5HF5dEO/FZfGKBQKXLx4EVFRUfj9998hEokwe/ZszJs3D+PHjzeYLzpFUUhPT0dNTQ1CQkJ6rHpIoVBwC2dVVVWPDEBjd/EKhaJPhYdaOgE29vFqSZjVajWSkpIgEAgQHBxssBsbXaBSqZCQkAAzMzNu993SzJXO2hw1haIovPvuu/jll18QHR2tFXbiMQz+EeLSGLVajZiYGPz22284fvw4NBoNZs+ejcjISEyePLnXQhVqtVprZ9tb16FSqbiFk521ousEN7vYsmXVhiLuXaG+vp4rCGjs48UOjFOpVEhMTIREIkFQUFCfCs12lqbC0vSE0liYy8rKUFdXB2tra+7E3NGKOZqm8dFHH2HPnj2Ijo6Gn5+fPl4OTzf5x4lLYzQaDa5cuYLffvsNx44dQ11dHWbNmoWIiAhMmzatx8JDrG2NiYkJAgMDDWYB0scANHY0gImJCQICAgzmteoC1oqGFWZjY2Oo1WqYm5sjJCSkX73WprDCYmpq2qJNT0uwI8PLysq0KvUcHBxabQqmaRqbN2/Gtm3bcOnSJQQGBurj5fDogH+0uDSGJElcu3YNUVFROHr0KCoqKhAeHo7IyEg88sgjegtR1dbWIjExEY6OjvDx8THY6jbWl4rddQqFQk5oOjqoirVz6U+jAVqjrq4OCQkJEAgEUKvVEIlE3MLZ13qP2qMrwtIUdiPD9tOIxWIu1Mi+XzRN48svv8Snn36K8+fPIywsTA+vhkdX8OLSAhRF4caNG5zQFBUVYfr06YiIiMCMGTN0VtEkk8mQmpqKwYMHY/DgwX2mq561ViktLdUa6sX20rS0uNTU1CApKQkDBgzoUL9OX6ahoQEJCQmciNI0zQ32kkqlfar3qD3YsB97EtWFaLID9thTza5du1BbWws3NzccOXIE586dw6hRo3Rw9Tz6hBeXdqAoCikpKfjtt99w5MgR3Lt3D9OmTcPcuXMxa9asLtthFBUVISsry2AGmXWVpgPQ1Gq11sIpEom4mTMeHh4GVSqqD+RyORISEriTaNPPRuPBXuwcn8YJ7r5UnqxWq5GQkKBTYWkKTdO4du0avvrqK8TGxqK+vh6TJ0/mbKAMpaeFpzm8uHQCmqaRkZGB3377DUePHsXNmzcxefJkREZGYvbs2bC1tW1XaNj57/n5+QgKCjIIUz1dQdM0amtrOXcAhUIBc3Nz1NbWYujQof3aVBR4EApzcXGBl5dXhz4LrGEkWxLelQR3b8AKCzveQl9hPpqm8eOPP+LNN9/EiRMn4O7ujt9//x3Hjx/H2LFjsWHDBr08L0/34cWli7DNf1FRUThy5AhSUlIwYcIEREZGYs6cOXB0dGy2uFAUhaysLMhkMoSEhBhMw6C+yMnJQU5ODoyNjZtZuveV0uOOUlNTg8TERLi7u8PDw6PLxQ5sTquyshLm5uZcXsuQJkj2pLAcOHAAq1atwvHjxzF16tRmP9fnexIXF4ctW7YgISEBxcXFOHr0KCIjI7Wev79OkdQFvLjoANa+hBWaGzduYOzYsYiIiOBm0lRXV2PXrl2YMGECQkJC+oyfVFdhB1+xp7OGhgYudMaOlu1ps0h9UVVVhaSkJJ2G/dhpm2yCm50g6ejo2Kuu1z0lLABw+PBhLF++HIcPH8aMGTP09jyt8ccff+DPP/9EaGgo5s+f30xc+vMUSV3Ai4uOoWkaBQUFOHLkCI4cOYKrV68iKCgIFRUVsLGxwfnz5/v8YtoWNE3j9u3bKC4uRkhISIuDr5RKJSc0TXfofW1McUVFBZKTk+Ht7a23+H/jSr3GzsS67nhvD7VajcTERBgZGeldWI4dO4alS5fi4MGDmDt3rt6ep6MQBKElLv19iqQu4MVFj9A0jbi4ODz22GOwtLREcXEx/P39uWRkV4ZgGTJs2K+iogKhoaEdKt9md+isWaSJiUmfGYBWXl6O1NRU+Pj4wNXVtUees7HrNdvx3hNmpKywsM2g+hSWkydP4oUXXsC+ffswf/58vT1PZ2gqLv3dLl8X9F8fCgPgr7/+wrx587Bs2TJ88MEHkMlk3PCzDz/8EL6+voiIiEBkZGSLlUV9CZIkkZaWhoaGBowcObLDYT+xWAwXFxe4uLhws0OkUini4+O5AWi6dCXWFVKpFGlpaRg+fDicnZ177HkFAgFsbW1ha2sLHx8froAiNzcX6enpeslr9aSwnD17Fi+++CK+//57gxGWligpKQEAODk5ad3u5OSEvLy83rgkg4MXFz3i4uKCrVu3YtGiRQAYV91//etfWLp0KSorK3H8+HEcOXIEmzdvhqenJzcqwM/Pr0812anVaiQnJ4OmaYwYMaLLdi4ikQhOTk5wcnICRVGc0KSkpHChICcnp15vQmTHagcEBPTqQCqCIGBpaQlLS0t4eXmhvr4eUqkURUVFuHnzpk484npSWKKjo7Fw4UJs374dTz31lN6eR5e0VGpuSJug3oQPixkA1dXVOHHiBI4cOYKzZ8/CxcWFO9EY+kwapVKJxMRELsGrj4bAxqEgqVQKkiR7rQnx/v37yM7ORmBgoMGM0G0JdlRxY4849j3raLixJ4Xl8uXLePzxx/HFF1/gxRdfNLgFmg+LdR5eXAwMdiZNVFQUTp8+DXt7e62ZNIYkNOz4ZWtr6x47bdE0jZqaGq6Xhp2GyIaC9Ok4nJ+fjzt37iA4OLhP9SdpNBotjzjWWqUt6x6NRoPExESIRCK9G25eu3YN8+bNwyeffIJXX33V4IQFaD2h31+nSOoCXlwMmPr6epw9e5abSWNhYaE1k6Y3bUNYTzRnZ2cMHTq0VxaEnhyAxpZWh4SE6G3GTk/AWquwBQGsdY+DgwN3CuxJYYmPj8fcuXOxfv16/Pvf/zYoYamrq8OdO3cAACEhIfj8888xZcoU2Nrawt3dvV9PkdQFvLj0ERQKBS5cuMDNpJFIJNxMmnHjxvWobX1lZSWSk5MNzhONzTlIpVLU1NRw3e6Ojo5d7itiHRUKCgoQGhraYml1X6XpGGylUglbW1vI5XIYGxvr3ck5OTkZs2bNwtq1a/Hf//7XYD5HLDExMZgyZUqz2xctWoS9e/f26ymSuoAXlz6IWq1GdHQ0N5OGoijMmjUL8+bNw6RJk/TqT1VWVoa0tDQMHToUbm5uenue7tJ0AJqFhYVWt3tHaNyzExYW1ud6cDoDKzSpqanQaDSgKAo2NjZc+EzXTb/p6emYMWMGVq9ejbVr1xqcsPB0H15c+jgajQaXL1/mZtLU19dzM2mmTp2q00WBNdv09/dvVoJpyDSesyKTyTo0AI2maWRnZ6OsrKzDPTt9GTYUJhQKERwcrPWeNRZnBweHblvRZGVlYcaMGXjllVewfv16Xlj6KQYjLvfu3cOHH36IS5cuoaSkBC4uLnjuueewbt06rZ14fn4+li9fjkuXLsHExATPPPMMPv300z7lJqsvSJLE1atXuVEBVVVVCA8PR0REBKZPn96tkcV5eXm4e/cugoKCYGdnp8Or7lnY5HZpaWmrtio0TSMzMxOVlZUICwvr144KAPOeNB7D3DQUplKpuIIAmUzGDY1zcHDotBXNrVu3MGPGDCxatAgff/yxQRWo8OgWgxGXM2fO4NChQ1iwYAG8vLyQnp6OpUuXYuHChfj0008BMItncHAwHBwc8Nlnn0Emk2HRokV47LHH8PXXX/fyKzAsKIrC33//zQlNSUkJN5MmPDy8wwlHmqZx584d3L9/HyEhIbCystLzlfccLQ1Ac3BwgFwuh1KpRFhYWL/3gGtPWJpCkiQ31KusrAwCgYAT5/b6j3JychAeHo4nnngCn332GS8s/RyDEZeW2LJlC3bs2IGcnBwAjJHc7NmzUVBQABcXFwDAL7/8gsWLF0MqlfarZKsuoSgKycnJ3EyavLw8TJs2DREREZg5c2aru0+apjkX5/4eGmKbNm/evAmlUqk1adPW1rZPD/Rqjc4KS1PYoXFs+IwkSa4snJ3lw5KXl4fw8HDMnj0bX3/9NS8s/wAMWlz+97//4cyZM4iPjwcAvPvuuzh+/DhSUlK4+1RWVsLW1haXLl1qsbKDRxuappGens7NpMnOzsaUKVMQGRmJWbNmcTNp5HI5/vrrLxgbGyM0NLTf7+BJkkRKSgrUajVCQkJQX1+P0tJSbgCavb09nJycmi2afZXuCktT2P4jVmgaGhqQk5MDuVyOiRMn4vnnn8e0adPw7bff8sLyD8FgxeXu3bsIDQ3FZ599hpdeegkA8K9//Qv37t3DuXPntO5rZGSEvXv3YsGCBb1xqX0WNmnNjgpIS0vDhAkTEB4ejgMHDsDR0RGHDh3q9/ksjUbD2deEhIRoiUfjAWjsotm4l6YnS8B1BUmSSExMBEEQeis3lsvlOHDgAHbu3Ins7GzY29vjjTfewPz58+Hh4aHz5+MxPPS+hXj//fdBEESb/9iTCUtRUREXm2WFhaW18A1fcdJ5CILAsGHDsG7dOsTHxyMrKwvjxo3D+vXruRG8e/bsQVFREQx0D9JtWIsTgiAQGhra7FTC+nd5eXlh7NixGDVqFKysrJCfn4/Y2FgkJCSgoKAASqWyl15B5yBJEklJSXoVFgAwMzNDREQEaJpGREQE3nnnHZw/fx4+Pj548skn9fKcPIaF3k8u5eXlKC8vb/M+gwcP5sIuRUVFmDJlCkaNGoW9e/dqHaH5sJh+ycvLw/Tp0xEaGooPPvgAJ0+exJEjR3Dt2jU89NBDnA3NwIED+4WYq1QqrfkknV1omw5As7S0hJOTk8EOQGOFBYDeGyTLy8sxa9Ys+Pj44ODBg9wJr6qqCvn5+QgMDNTbc7fG9u3bsWXLFhQXF2P48OH44osvMGHChB6/jn8KBhUWu3//PqZMmYKwsDD89NNPzT78bEK/sLAQAwYMAAAcOnQIixYt4hP6OuCzzz5Dbm4uvvrqK07UaZpGUVERNyrgypUrCA4O5mbSeHp69kmhUSqVSEhIgJmZGQICArqdB2hqFGloI4pZYaFpGqGhoXoVlsrKSsyePRvu7u44fPiwQYRVDx06xDkujxs3Djt37sR3332HzMxMuLu79/bl9UsMRlyKioowadIkuLu7Y9++fVoffnZeBluK7OTkhC1btqCiogKLFy9GZGQkX4qsA9iPQmsLIU3TkEqlOHbsGKKiohATEwM/Pz/Owbm3PMY6i0KhQEJCAqysrPRiuNl0ABrbF+Lo6AhLS8sef49IkkRycjIoimqWU9I11dXVmDNnDhwdHXH06FGdzZTpLqNGjUJoaCh27NjB3ebr64vIyEhs3LixF6+s/2Iw4rJ371688MILLf6s8SXm5+dj2bJlzZooDeVD/E+BpmlUVFRwM2kuXLiAIUOGcDNpfH19DbIqqL6+HgkJCbCzs4Ovr6/eF3q2L4R1JBaJRD06AK0nhaW2thaRkZEwNzfH77//bjChQZVKBVNTUxw+fBjz5s3jbn/99deRnJyM2NjYXry6/ovBiAtP36aqqkprJo2bmxt3otH3LJCOIpfLkZCQACcnp145ZTV2JJZKpQCg1Uuj6/eoJ4VFLpdj/vz5EAgEOHXqlEH1RBUVFcHV1RV//vknxo4dy93+8ccf48cff0R2dnYvXl3/pe8X7PMYBNbW1li4cCEWLlyI2tpabiZNeHg4N5Nm3rx5GDFiRK8ITW1tLRISEuDm5oYhQ4b0SvhOIBDA3t4e9vb2GDZsGDcALTMzU+cD0HpSWBoaGvDUU0+BoiiDE5bG8FMjexZeXHh0joWFBZ566ik89dRTqK+vx5kzZxAVFYXIyEhYWlpizpw5iIyMxOjRo3uk8726uhpJSUlwd3eHp6en3p+vIwgEAtja2sLW1hY+Pj7cALRbt25pDUCzt7fvdC8N2xBKkmSL5dW6RKFQ4JlnnuFmDxniHBN7e3sIhUJu7j2LVCrtUwasfQ0+LMbTYygUCpw/f56bSWNkZIQ5c+ZwM2n0sQhWVVUhKSkJnp6eGDRokM4fX9fQNA25XM65A8jlctja2nLhs/Yqr1hh0Wg0ehcWlUqF5557DsXFxbhw4QJsbGz09lzdZdSoUQgLC8P27du529hiFD6hrx94ceHpFVQqldZMGgDcTJqJEyfqpHxVJpMhJSUF3t7eGDhwYLcfrzfozAC0nhQWtVqNRYsWITc3FxcvXoS9vb3enksXsKXI3377LcaMGYNdu3Zh9+7dyMjI6BObjr4ILy5dZMOGDTh16hSSk5MhkUhQVVXV7D78eICOodFoEBcXx82kUSgUmDVrFiIjIzFlypQu+ZqxQ82GDRvGmZz2dRQKBVfiXFlZqTUAzdjYuMeERaPRYMmSJcjMzER0dDQcHR319ly6ZPv27di8eTOKi4vh7++PrVu3YuLEib19Wf0WXly6yHvvvQdra2sUFhbi+++/byYu/HiArkGSJP78809uVEB1dTVmzJiBiIgIPPLIIx2aSVNaWor09PQ+N9SsMzQdgCYQCCASieDv7w8bGxu9JapJksQrr7yChIQEREdHc83MPDxN4cWlm+zduxcrV65sJi78eIDuw86kYR2cS0tLMX36dERGRiI8PLzFscPFxcXIyspCQEAAHBwceuGqexaKopCUlISGhgaYm5ujoqICEomk2QA0XUCSJFasWIErV64gJibGoMdc8/Q+vLh0k9bEhfdB0y3sIsrOpCkoKMDUqVMRGRmJmTNnwtLSEt988w1nmNiXp2V2FIqikJKSApVKhdDQUIjFYpAkqdVL05lhXu091+rVq3H+/HlER0dj8ODBun0xPP0OvhRZT5SUlDQLydjY2EAikTQrieRpH4FAgLCwMISFheHjjz9Geno6Dh8+jC+++ALLli1DaGgoUlNTsXPnTtja2vb25eqdloQFADdN08HBAb6+vqisrIRUKkV6ejpomuZ6aTozAI2iKLz11ls4c+YMLyw8Hab326YNiK6MB2gLfjyAfiAIAgEBAfjggw+QmpqK5cuXIyUlBcOHD8eLL76IiIgI7NmzB1KptF+OCmhNWJoiEAg4m5uJEyciODgYYrEY2dnZiI2NRWpqKkpKSqDRaNp8rnfeeUfL4oeHpyPwJ5dGvPbaa3j66afbvE9Hd23Ozs7466+/tG6rrKyEWq3ut0nm3mD9+vXYv38/rl69iqCgINy9exdRUVHYv38/Vq1ahbFjxyIiIgJz587FgAED+rywUxSF1NRUKJVKhIWFdbjBkiAIWFtbw9raGt7e3qirq0NpaSlycnKQkZEBW1tbODk5wd7enqtmpGkaH330EQ4cOIDo6GgMHTpUny+Np5/B51y6SXsJfX48gH45dOgQAgIC4Ofnp3U7TdPIz8/npmxev34do0aNwty5cxEREdEnZ9KwwqJQKDolLO0hl8u5HE1tbS2+++47BAcHo6GhAXv37sWlS5cQEBCgk+fi+efAi0sXyc/PR0VFBX7//Xds2bIFly9fBgB4eXnB3NycHw9gQLAzaY4cOYKoqCj8+eefCA4ORmRkJCIiIuDh4WHwQqMvYWmKXC7H1q1bcfToUWRnZyMgIADPP/885s2bZzDWOTx9Az7n0kXeffddhISE4L333kNdXR1CQkIQEhLC5WSEQiFOnToFY2NjjBs3Dk8++SQiIyPx6aef9vKV//MgCAKurq5YsWIFoqOjUVBQgCVLliAmJgahoaEYN24cNm/ejOzsbIPM0VAUhbS0NL0LCwCYmprC2toaJSUlOHXqFF577TVcuHABw4YNw549e/T2vG2xYcMGjB07lru2lsjPz8ecOXNgZmYGe3t7/Pvf/4ZKperZC+XRgj+58PxjYWfSHDt2jEtYe3t7a82k6e0TDSssDQ0NehcWmqaxe/duvPfeezh9+jTGjRvH/YwN+7a2uOsTvmG5b8KLCw8PmIW1uroav//+O44cOYJz585h4MCB3EyawMDAHh8VwApLfX09wsLC9GobRNM0fvzxR7z55ps4efIkJk2apLfn6ip8w3Lfgg+L8fDgQTXV888/j2PHjqG0tBTr169Hbm4upk+fjsDAQKxduxY3btwARVF6v56eFpYDBw5gzZo1OHbsmEEKS1tcu3YN/v7+Wh5yjz76KJRKJRISEnrxyv7Z8OLCw9MCFhYWePrpp3H48GGUlpZiy5YtkEqlmDt3Lvz8/LBmzRpcvXoVJEnq/LkpikJ6enqPCcvhw4exatUq/Pbbb5g6darenktf8A3LhgkvLv8Qtm/fDg8PDxgbGyMsLIyrbuNpHzMzM8yfPx8HDhxASUkJvvnmG9TW1uLJJ5+Ej48PVq1ahbi4uDabETsKKyxyuVzvwgIAx48fx/Lly3Hw4EGEh4fr9bkawzcs93/4Jsp/AIcOHcLKlSuxfft2jBs3Djt37sSMGTOQmZkJd3f33r68PoWJiQnmzp2LuXPnQqVS4dKlS/jtt9+wcOFCEASB2bNnY968eZgwYUKnhaGnheXkyZNYunQp9u/fjzlz5uj1uZrCNyz3f/iE/j+AUaNGITQ0FDt27OBu8/X1RWRkJD+FT0doNBrExsZyM2mUSiVmz56NiIgIPPzwwzAyMmrz93taWM6ePYvnnnsOe/bswVNPPaXX59IVfMNy34IPi/VzVCoVEhISMH36dK3bp0+fjqtXr/bSVfU/RCIRpk6dih07dqCwsBDHjh2DtbU1Vq5cCQ8PDyxZsgS///476uvrm/0uKyx1dXU9IiyXLl3ipjI++eSTen0uXZCfn4/k5GTk5+eDJEkkJycjOTkZdXV1AJjPsp+fHxYuXIikpCRcvHgR//3vf7F06VJeWHoRXlz6OeXl5SBJsll4wMnJiU926gmhUIiJEyfiq6++Ql5eHv744w+4uLhg7dq18PDwwMKFCxEVFYW6ujqo1WosX74c9+7dw4gRI/QuLJcvX8aCBQvw5Zdf4rnnnusTOQm+YblvwofF+jlFRUVwdXXF1atXMWbMGO72DRs2YP/+/bh582YvXt0/C4qikJiYqDWTxsvLC1VVVTh27BiGDRum18X+2rVrmDdvHjZt2oRXXnmlTwgLT9+FP7n0c+zt7SEUCpudUqRSKZ/s7GEEAgFGjBiBTz75BBkZGZg6dSpKSkrg4OCAcePG4YknnsD+/ftRUVGhcxuaGzduYP78+fjwww95YeHpEXhx6edIJBKEhYXh/PnzWrefP38eY8eO7aWr+mdDURSWLFmCu3fvIi0tDQkJCUhMTMTo0aPx7bffwtPTE5GRkfjhhx9QVlbWbaFJSkpCZGQk1q1bh3//+9+8sPD0CHxY7B/AoUOHuATumDFjsGvXLuzevRsZGRkYNGhQb1/eP5Jt27Zh/vz5cHZ21rqdpmncuXOHGxWQlJSEcePGcTNpnJ2dOyUOaWlpmDlzJlavXo21a9fywsLTY/Di8g9h+/bt2Lx5M4qLi+Hv74+tW7di4sSJvX1ZPG1A0zTy8vI4ofn777+1ZtK4ubm1KRaZmZmYOXMmXn31Va5pkYenp+DFhYenD0DTNO7fv8/NpLl69SpCQkK4mTSDBw/WEo9bt25hxowZWLRoETZu3MgLC0+Pw4sLD08fg6ZplJaW4ujRo4iKikJcXByGDx/OCY1QKMSMGTPw5JNP4tNPP+1xN2ceHoAXFx6ePg1N05DJZDh+/DiioqJw4cIFAMDChQuxe/duXlh4eg1eXHh4+gk0TaOyshIbNmzA5s2bIRQKe/uSeP7B8NsaHp5+AkEQsLW1xWeffdbrwnLv3j0sWbIEHh4eMDExwZAhQ/Dee+81Gz3Mjyfuv/DiwtPrxMXFYc6cOXBxcQFBEDh27JjWz2maxvvvvw8XFxeYmJhg8uTJyMjI6J2L5ekQN2/eBEVR2LlzJzIyMrB161Z8++23WLt2LXcfkiQxa9YsyOVyXLlyBb/88guioqLwn//8pxevnEdn0Dw8vczp06fpdevW0VFRUTQA+ujRo1o//+STT2gLCws6KiqKTktLo5966il6wIABdE1NTe9cME+X2Lx5M+3h4cH99+nTp2mBQEDfv3+fu+3gwYO0kZERXV1d3RuXyKND+JMLT68zY8YMfPTRR3jsscea/YymaXzxxRdYt24dHnvsMfj7++PHH39EfX09Dhw40AtXy9NVqqurYWtry/03P564f8OLC49Bk5ubi5KSEq2RAUZGRpg0aRI/MqAPcffuXXz99dd45ZVXuNv48cT9G15ceAwadpHhRwYYBl0ZT1xUVITw8HA88cQTeOmll7R+xo8n7r/wY455+gRNFxt+AeodOjueuKioCFOmTOE87RrDjyfu3/DiwmPQsMaOJSUl3AhbgB8Z0FvY29vD3t6+Q/e9f/8+pkyZgrCwMPzwww/NGjrHjBmDDRs2oLi4mPvbnjt3DkZGRggLC9P5tfP0LHxYjMeg8fDwgLOzs9bIAJVKhdjYWH5kgAFTVFSEyZMnY+DAgfj0009RVlaGkpISrVAmP564f8OfXHh6nbq6Oty5c4f779zcXCQnJ8PW1hbu7u5YuXIlPv74Y3h7e8Pb2xsff/wxTE1N8cwzz/TiVfO0xblz53Dnzh3cw83suwAAAl5JREFUuXMHbm5uWj+j/98UhB1PvGzZMowbNw4mJiZ45pln+PHE/QTe/oWn14mJicGUKVOa3b5o0SLs3bsXNE1j/fr12LlzJyorKzFq1Chs27YN/v7+vXC1PDw8HYEXFx4eHh4encPnXHh4eHh4dA4vLjw8PDw8OocXFx4eHh4encOLCw8PDw+PzuHFhYeni2zcuBEjR46EhYUFHB0dERkZiezsbK370Py4AJ5/KLy48PB0kdjYWCxfvhzXr1/H+fPnodFoMH36dMjlcu4+mzdvxueff45vvvkGN27cgLOzMx555BHU1tb24pXz8OgfvhSZh0dHlJWVwdHREbGxsZg4cSJomoaLiwtWrlyJN998EwCgVCrh5OSETZs24eWXX+7lK+bh0R/8yYWHR0dUV1cDADezhB8XwPNPhhcXHh4dQNM0Vq9ejfHjx3POAfy4AJ5/Mry3GA+PDnjttdeQmpqKK1euNPsZPy6A558If3Lh4ekmK1aswO+//47o6Ggtk8bG4wIaw48L4PknwIsLD08XoWkar732Go4cOYJLly7Bw8ND6+f8uACefzJ8WIyHp4ssX74cBw4cwPHjx2FhYcGdUKysrGBiYgKCIPhxATz/WPhSZB6eLtJa3uSHH37A4sWLAYAfF8Dzj4UXFx4eHh4encPnXHh4eHh4dA4vLjw8PDw8OocXFx4eHh4encOLCw8PDw+PzuHFhYeHh4dH5/DiwsPDw8Ojc3hx4eHh4eHROby48PDw8PDoHF5ceHh4eHh0Di8uPDw8PDw6hxcXHh4eHh6dw4sLDw8PD4/O+T8YFe2tXWPOywAAAABJRU5ErkJggg==\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "source": [ - "# Runge-Kutta method for training" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" - ] - } - ], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Epoch: 0\t Loss: tensor(0.0269, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(11.0100, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(9.3664, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.1177, requires_grad=True)}\n", - "Epoch: 1\t Loss: tensor(0.0425, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3953, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(14.0696, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.4969, requires_grad=True)}\n", - "Epoch: 2\t Loss: tensor(0.0134, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3503, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(18.3947, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.4089, requires_grad=True)}\n", - "Epoch: 3\t Loss: tensor(0.0015, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.5030, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(21.6698, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6779, requires_grad=True)}\n", - "Epoch: 4\t Loss: tensor(0.0011, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.2792, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(24.8491, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(3.0546, requires_grad=True)}\n", - "Epoch: 5\t Loss: tensor(0.0157, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3136, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(26.7616, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.1074, requires_grad=True)}\n", - "Epoch: 6\t Loss: tensor(0.0050, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1203, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(27.8602, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6805, requires_grad=True)}\n", - "Epoch: 7\t Loss: tensor(0.0042, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.8177, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1609, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.8560, requires_grad=True)}\n", - "Epoch: 8\t Loss: tensor(5.5081e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1653, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.2235, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7401, requires_grad=True)}\n", - "Epoch: 9\t Loss: tensor(0.0001, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.3832, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.2487, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7291, requires_grad=True)}\n", - "Epoch: 10\t Loss: tensor(0.0004, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.2228, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.2755, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5824, requires_grad=True)}\n", - "Epoch: 11\t Loss: tensor(0.0013, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1830, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.2776, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6609, requires_grad=True)}\n", - "Epoch: 12\t Loss: tensor(0.0021, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.6465, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1997, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5274, requires_grad=True)}\n", - "Epoch: 13\t Loss: tensor(8.0008e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.6710, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1879, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7209, requires_grad=True)}\n", - "Epoch: 14\t Loss: tensor(0.0037, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9806, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1990, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.4557, requires_grad=True)}\n", - "Epoch: 15\t Loss: tensor(0.0012, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1266, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1765, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7954, requires_grad=True)}\n", - "Epoch: 16\t Loss: tensor(0.0007, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1158, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1551, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5480, requires_grad=True)}\n", - "Epoch: 17\t Loss: tensor(0.0006, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(9.9688, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1413, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.5416, requires_grad=True)}\n", - "Epoch: 18\t Loss: tensor(0.0004, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.1186, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1213, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.7960, requires_grad=True)}\n", - "Epoch: 19\t Loss: tensor(9.6682e-05, grad_fn=)\n", - "{'sigma': Parameter containing:\n", - "tensor(10.0542, requires_grad=True), 'rho': Parameter containing:\n", - "tensor(28.1391, requires_grad=True), 'beta': Parameter containing:\n", - "tensor(2.6882, requires_grad=True)}\n", - "Time elapsed: 117.03746318817139\n" - ] - } - ], - "source": [ - "start = time.time()\n", - "\n", - "ode_solver_train.fit_random_sample(\n", - " result,\n", - " torch.optim.Adam,\n", - " {\"lr\": 0.5},\n", - " max_epochs=20,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", - ")\n", - "\n", - "end = time.time()\n", - "print(\"Time elapsed: \", end-start)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "{'sigma': Parameter containing:\n", - " tensor(10.0542, requires_grad=True),\n", - " 'rho': Parameter containing:\n", - " tensor(28.1391, requires_grad=True),\n", - " 'beta': Parameter containing:\n", - " tensor(2.6882, requires_grad=True)}" - ] - }, - "metadata": {}, - "execution_count": 24 - } - ], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "source": [ - "# Predictions for nt = 10000" - ], - "cell_type": "markdown", - "metadata": {} - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1757e-01, 2.6760e-01, 1.2693e-03],\n", - " [ 8.6752e-01, 5.1411e-01, 4.6744e-03],\n", - " ...,\n", - " [-4.9755e+00, -7.6280e+00, 1.8139e+01],\n", - " [-5.2501e+00, -8.0631e+00, 1.8054e+01],\n", - " [-5.5415e+00, -8.5255e+00, 1.8017e+01]], grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 26 - } - ], - "source": [ - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "name": "stderr", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n ax = fig.gca(projection='3d')\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": "
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\n" - }, - "metadata": {} - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "name": "python3", - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - }, - "interpreter": { - "hash": 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for name, value in initial.items()} for n in range(nt - 1): # create dictionary containing values from previous time step @@ -87,125 +89,17 @@ def forward(self, nt): def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} - def fit( - self, - x, - optim, - optim_params=None, - max_epochs=10, - scheduler=None, - scheduler_params=None, - ): - """Fits model to the given data by comparing the whole dataset - - Args: - x (torch.Tensor): Original time series data - optim (torch.optim): Optimizer - optim_params: Optimizer parameters - max_epochs (int): Number of training epochs - scheduler (torch.optim.lr_scheduler): Learning rate scheduler - scheduler_params: Learning rate scheduler parameters - """ - dataset = TensorDataset(x) - n = dataset.__len__() - loader = DataLoader(dataset, batch_size=n) - - if optim_params is not None: - optimizer = optim(self.parameters(), **optim_params) - else: - optimizer = optim(self.parameters()) - - if scheduler is not None: - if scheduler_params is not None: - lr_scheduler = scheduler(optimizer, **scheduler_params) - else: - lr_scheduler = scheduler(optimizer) - - for epoch in range(max_epochs): - for i, data in enumerate(loader, 0): - self.zero_grad() - loss = self._step(data, i, n) - loss.backward(retain_graph=True) - optimizer.step() - if scheduler is not None: - lr_scheduler.step() - - print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) - print(self.coeffs) - - def fit_random_sample( - self, - x, - optim, - optim_params=None, - max_epochs=10, - batch_size=64, - scheduler=None, - scheduler_params=None, - ): - """Fits model to the given data by using random samples for each batch - - Args: - x (torch.Tensor): Original time series data - optim (torch.optim): Optimizer - optim_params: Optimizer parameters - max_epochs (int): Number of training epochs - batch_size (int): Batch size for torch.utils.data.DataLoader - scheduler (torch.optim.lr_scheduler): Learning rate scheduler - scheduler_params: Learning rate scheduler parameters - """ - dataset = TensorDataset(x) - loader = DataLoader(dataset, batch_size=batch_size) - - if optim_params is not None: - optimizer = optim(self.parameters(), **optim_params) - else: - optimizer = optim(self.parameters()) - - if scheduler is not None: - if scheduler_params is not None: - lr_scheduler = scheduler(optimizer, **scheduler_params) - else: - lr_scheduler = scheduler(optimizer) - - for epoch in range(max_epochs): - for i, data in enumerate(loader, 0): - self.zero_grad() - - n = data[0].shape[0] - - if n < 3: - continue - - # Takes a random data point from "data" - ri = torch.randint(low=0, high=n - 2, size=()).item() - single_point = data[0][ri : ri + 1, :] - init_point = { - var: single_point[0, i] for i, var in enumerate(self.var_names) - } + def _step(self, batch, batch_idx, num_batches): + x, y = self.prepare_batch(batch) + nt = y.shape[1] - pred = { - name: value.unsqueeze(0) for name, value in self.init_vars.items() + init_point = { + var: x[0, i] for i, var in enumerate(self.var_names) } + pred = self.solver(nt,init_point).detach() - pred = self.step_solver(init_point) - - predictions = torch.stack([pred[var] for var in self.outvar], dim=0) - - # Compare numerical integration data with next data point - loss = self.criterion(predictions, data[0][ri + 1, :]) - - loss.backward(retain_graph=True) - optimizer.step() - - if scheduler is not None: - lr_scheduler.step() - - print("Epoch: " + str(epoch) + "\t Loss: " + str(loss)) - print(self.coeffs) - - def _step(self, batch, batch_idx, num_batches): - (x,) = batch - nt = x.shape[0] - pred = self(nt) - return self.criterion(pred, x) + if self.criterion_args is not None: + loss = self.criterion(pred, y, **self.criterion_args) + else: + loss = self.criterion(pred, y) + return loss diff --git a/torchts/utils/data.py b/torchts/utils/data.py index 079ddf14..f958921a 100644 --- a/torchts/utils/data.py +++ b/torchts/utils/data.py @@ -108,3 +108,12 @@ def sliding_window(tensor, lags, horizon=1, dim=0, step=1): x, y = data[:, [lag - 1 for lag in lags]], data[:, -1] return x, y + +def generate_ode_dataset(data, num_steps): + n = data.shape[0] + y_2d = data[:num_steps,:] + y = y_2d.view(1,y_2d.shape[0],y_2d.shape[1]) + for i in range(1,n-num_steps): + y_2d = data[i:i+num_steps,:] + y = torch.cat((y, y_2d.view(1,y_2d.shape[0],y_2d.shape[1])), dim=0) + return data[:n-num_steps,:],y From 6ab31c0d87606b3d6c6cf7117365bc01c3dba883 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sat, 18 Dec 2021 02:56:36 +0000 Subject: [PATCH 52/73] Add pre-commit fixes --- torchts/nn/models/ode.py | 6 ++---- torchts/utils/data.py | 13 +++++++------ 2 files changed, 9 insertions(+), 10 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 2a44aa2b..c53668de 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -93,10 +93,8 @@ def _step(self, batch, batch_idx, num_batches): x, y = self.prepare_batch(batch) nt = y.shape[1] - init_point = { - var: x[0, i] for i, var in enumerate(self.var_names) - } - pred = self.solver(nt,init_point).detach() + init_point = {var: x[0, i] for i, var in enumerate(self.var_names)} + pred = self.solver(nt, init_point).detach() if self.criterion_args is not None: loss = self.criterion(pred, y, **self.criterion_args) diff --git a/torchts/utils/data.py b/torchts/utils/data.py index f958921a..ca89804a 100644 --- a/torchts/utils/data.py +++ b/torchts/utils/data.py @@ -109,11 +109,12 @@ def sliding_window(tensor, lags, horizon=1, dim=0, step=1): return x, y + def generate_ode_dataset(data, num_steps): n = data.shape[0] - y_2d = data[:num_steps,:] - y = y_2d.view(1,y_2d.shape[0],y_2d.shape[1]) - for i in range(1,n-num_steps): - y_2d = data[i:i+num_steps,:] - y = torch.cat((y, y_2d.view(1,y_2d.shape[0],y_2d.shape[1])), dim=0) - return data[:n-num_steps,:],y + y_2d = data[:num_steps, :] + y = y_2d.view(1, y_2d.shape[0], y_2d.shape[1]) + for i in range(1, n - num_steps): + y_2d = data[i : i + num_steps, :] + y = torch.cat((y, y_2d.view(1, y_2d.shape[0], y_2d.shape[1])), dim=0) + return data[: n - num_steps, :], y From 5a082a5de94e18365d4ba6e45ef003d6c34422c3 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Fri, 17 Dec 2021 22:02:13 -0500 Subject: [PATCH 53/73] Fixed pre-commit.ci issues --- torchts/nn/models/ode.py | 1 - 1 file changed, 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index c53668de..e8a416a0 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -1,6 +1,5 @@ import torch from torch import nn -from torch.utils.data import DataLoader, TensorDataset from torchts.nn.model import TimeSeriesModel From 2e747eb82babcc099871d8eb6b706c8ba9b171ba Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sat, 18 Dec 2021 02:00:02 -0500 Subject: [PATCH 54/73] Fixed size error in ODESolver --- examples/ode/lorenz63/Lorenz63Test.ipynb | 107 +++++++++-------------- torchts/nn/models/ode.py | 5 +- 2 files changed, 43 insertions(+), 69 deletions(-) diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb index 2aa18c7f..8a81d424 100644 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ b/examples/ode/lorenz63/Lorenz63Test.ipynb @@ -168,14 +168,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:25: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", + "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:24: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" ] } @@ -196,7 +196,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": { "tags": [] }, @@ -208,8 +208,8 @@ "GPU available: False, used: False\n", "TPU available: False, using: 0 TPU cores\n", "IPU available: False, using: 0 IPUs\n", - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/configuration_validator.py:101: UserWarning: you defined a validation_step but have no val_dataloader. Skipping val loop\n", - " rank_zero_warn(f\"you defined a {step_name} but have no {loader_name}. Skipping {stage} loop\")\n", + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/configuration_validator.py:122: UserWarning: You defined a `validation_step` but have no `val_dataloader`. Skipping val loop.\n", + " rank_zero_warn(\"You defined a `validation_step` but have no `val_dataloader`. Skipping val loop.\")\n", "\n", " | Name | Type | Params\n", "------------------------------\n", @@ -217,23 +217,8 @@ "3 Trainable params\n", "0 Non-trainable params\n", "3 Total params\n", - "0.000 Total estimated model params size (MB)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:105: UserWarning: The dataloader, train dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 4 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", - " rank_zero_warn(\n", - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:322: UserWarning: The number of training samples (8) is smaller than the logging interval Trainer(log_every_n_steps=50). Set a lower value for log_every_n_steps if you want to see logs for the training epoch.\n", + "0.000 Total estimated model params size (MB)\n", + "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:116: UserWarning: The dataloader, train_dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 4 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", " rank_zero_warn(\n" ] }, @@ -241,22 +226,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Epoch 0: 0%| | 0/8 [00:00<00:00, 665.87it/s] " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:216: UserWarning: Using a target size (torch.Size([128, 5, 3])) that is different to the input size (torch.Size([5, 3])). This will likely lead to incorrect results due to broadcasting. Please ensure they have the same size.\n", - " return self.criterion(pred, y)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch 0: 12%|█▎ | 1/8 [00:04<00:14, 2.03s/it, loss=32.6, v_num=17, train_loss_step=32.60]" + "Epoch 0: 0%| | 1/995 [00:04<1:16:30, 4.62s/it, loss=28.9, v_num=33, train_loss_step=28.90]" ] }, { @@ -266,38 +236,39 @@ "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m ode_solver_train.fit(\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mx_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m )\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m ode_solver_train.fit(\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mx_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m )\n", "\u001b[0;32m~/Documents/GitHub/torchTS/torchts/nn/model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, x, y, max_epochs, batch_size)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0mloader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataLoader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshuffle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[0mtrainer\u001b[0m \u001b[0;34m=\u001b[0m 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94\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_evaluating\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/plugins/training_type/training_type_plugin.py\u001b[0m in \u001b[0;36mstart_training\u001b[0;34m(self, trainer)\u001b[0m\n\u001b[1;32m 159\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 160\u001b[0m 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train_dataloaders, val_dataloaders, datamodule, ckpt_path)\u001b[0m\n\u001b[1;32m 770\u001b[0m \u001b[0;31m# TODO: ckpt_path only in v1.7\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 771\u001b[0m \u001b[0mckpt_path\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mckpt_path\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresume_from_checkpoint\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 772\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mckpt_path\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mckpt_path\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 773\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 774\u001b[0m \u001b[0;32massert\u001b[0m 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Specify retain_graph=True when calling backward the first time." @@ -306,7 +277,7 @@ ], "source": [ "ode_solver_train.fit(\n", - " x_train, y_train\n", + " x_train, y_train, batch_size=1\n", ")" ] }, diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index e8a416a0..98c3eec8 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -93,7 +93,10 @@ def _step(self, batch, batch_idx, num_batches): nt = y.shape[1] init_point = {var: x[0, i] for i, var in enumerate(self.var_names)} - pred = self.solver(nt, init_point).detach() + pred = self.solver(nt, init_point) + + # TODO: Account for batch size > 1 + pred = pred.view(1,pred.shape[0],pred.shape[1]) if self.criterion_args is not None: loss = self.criterion(pred, y, **self.criterion_args) From 00f2a5dbe3ebcc4c90763ed5debb3682c1e76638 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sat, 18 Dec 2021 07:00:13 +0000 Subject: [PATCH 55/73] Add pre-commit fixes --- torchts/nn/models/ode.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 98c3eec8..0ac0cfc4 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -96,7 +96,7 @@ def _step(self, batch, batch_idx, num_batches): pred = self.solver(nt, init_point) # TODO: Account for batch size > 1 - pred = pred.view(1,pred.shape[0],pred.shape[1]) + pred = pred.view(1, pred.shape[0], pred.shape[1]) if self.criterion_args is not None: loss = self.criterion(pred, y, **self.criterion_args) From 77f7a1962f456c3dd4f38daaa3b32f2dcdfd9d7c Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 13:25:22 -0500 Subject: [PATCH 56/73] Included previous Duffing Equation builds --- .../ode/DuffingEquation/DuffingTest_DNN.ipynb | 732 ++++++++++++++++++ ...ffingTest_fitRandomSample_with_w_RK4.ipynb | 467 +++++++++++ torchts/nn/models/hybridode.py | 71 ++ 3 files changed, 1270 insertions(+) create mode 100644 examples/ode/DuffingEquation/DuffingTest_DNN.ipynb create mode 100644 examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb create mode 100644 torchts/nn/models/hybridode.py diff --git a/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb new file mode 100644 index 00000000..3a821964 --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_DNN.ipynb @@ -0,0 +1,732 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "DuffingTest_DNN.ipynb", + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "5Z8Z-OzS6Z-G", + "outputId": "f83e0d3c-fb76-4938-8aac-3e01134a1969" + }, + "source": [ + "!pip install pytorch_lightning" + ], + "execution_count": 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torch.nn.functional as F\n", + "from torch import nn\n", + "from torch.utils.data import DataLoader, TensorDataset\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ], + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "Pf5K_82g5blO" + }, + "source": [ + "class ODEDNNSolver(LightningModule):\n", + " def __init__(\n", + " self, ode, init_vars, init_coeffs, dt, solver=\"euler\", outvar=None, **kwargs\n", + " ):\n", + " super().__init__(**kwargs)\n", + "\n", + " if ode.keys() != init_vars.keys():\n", + " raise ValueError(\"Inconsistent keys in ode and init_vars\")\n", + "\n", + " if solver == \"euler\":\n", + " self.step_solver = self.euler_step\n", + " elif solver == \"rk4\":\n", + " self.step_solver = self.runge_kutta_4_step\n", + " else:\n", + " raise ValueError(f\"Unrecognized solver {solver}\")\n", + "\n", + " for name, value in init_coeffs.items():\n", + " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n", + " \n", + " self.ode = ode\n", + " self.var_names = ode.keys()\n", + " self.init_vars = {\n", + " name: torch.tensor(value, device=self.device)\n", + " for name, value in init_vars.items()\n", + " }\n", + " self.coeffs = {name: param for name, param in self.named_parameters()}\n", + "\n", + " self.dnn = nn.Sequential(\n", + " nn.Linear(1,10),\n", + " nn.ReLU(),\n", + " nn.Linear(10,1),\n", + " nn.Tanh()\n", + " )\n", + "\n", + " self.outvar = self.var_names if outvar is None else outvar\n", + " self.dt = dt\n", + " self.criterion = F.mse_loss\n", + "\n", + " def euler_step(self, prev_val):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + " for var in self.var_names:\n", + " pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * self.dt\n", + " return pred\n", + "\n", + " def runge_kutta_4_step(self, prev_val):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + "\n", + " k_1 = prev_val\n", + " k_2 = {}\n", + " k_3 = {}\n", + " k_4 = {}\n", + "\n", + " for var in self.var_names:\n", + " k_2[var] = (\n", + " prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * 0.5 * self.dt\n", + " )\n", + "\n", + " for var in self.var_names:\n", + " k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnn) * 0.5 * self.dt\n", + "\n", + " for var in self.var_names:\n", + " k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnn) * self.dt\n", + "\n", + " for var in self.var_names:\n", + " result = self.ode[var](k_1, self.coeffs, self.dnn) / 6\n", + " result += self.ode[var](k_2, self.coeffs, self.dnn) / 3\n", + " result += self.ode[var](k_3, self.coeffs, self.dnn) / 3\n", + " result += self.ode[var](k_4, self.coeffs, self.dnn) / 6\n", + " pred[var] = prev_val[var] + result * self.dt\n", + "\n", + " return pred\n", + "\n", + " def solver(self, nt):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + "\n", + " for n in range(nt - 1):\n", + " # create dictionary containing values from previous time step\n", + " prev_val = {var: pred[var][[n]] for var in self.var_names}\n", + " new_val = self.step_solver(prev_val)\n", + " for var in self.var_names:\n", + " pred[var] = torch.cat([pred[var], new_val[var]])\n", + "\n", + " # reformat output to contain desired (observed) variables\n", + " return torch.stack([pred[var] for var in self.outvar], dim=1)\n", + "\n", + " def forward(self, nt):\n", + " return self.solver(nt)\n", + "\n", + " def get_coeffs(self):\n", + " return {name: param.item() for name, param in self.named_parameters()}\n", + "\n", + " def fit(\n", + " self,\n", + " x,\n", + " optim,\n", + " optim_params=None,\n", + " max_epochs=10,\n", + " scheduler=None,\n", + " scheduler_params=None,\n", + " ):\n", + " \"\"\"Fits model to the given data by comparing the whole dataset\n", + " Args:\n", + " x (torch.Tensor): Original time series data\n", + " optim (torch.optim): Optimizer\n", + " optim_params: Optimizer parameters\n", + " max_epochs (int): Number of training epochs\n", + " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", + " scheduler_params: Learning rate scheduler parameters\n", + " \"\"\"\n", + " dataset = TensorDataset(x)\n", + " n = dataset.__len__()\n", + " loader = DataLoader(dataset, batch_size=n)\n", + "\n", + " if optim_params is not None:\n", + " optimizer = optim(self.parameters(), **optim_params)\n", + " else:\n", + " optimizer = optim(self.parameters())\n", + "\n", + " if scheduler is not None:\n", + " if scheduler_params is not None:\n", + " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", + " else:\n", + " lr_scheduler = scheduler(optimizer)\n", + "\n", + " for epoch in range(max_epochs):\n", + " for i, data in enumerate(loader, 0):\n", + " self.zero_grad()\n", + " loss = self._step(data, i, n)\n", + " loss.backward(retain_graph=True)\n", + " optimizer.step()\n", + " if scheduler is not None:\n", + " lr_scheduler.step()\n", + "\n", + " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", + " print(self.coeffs)\n", + " # Testing to see that self.dnns changes\n", + " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", + "\n", + " def fit_random_sample(\n", + " self,\n", + " x,\n", + " optim,\n", + " optim_params=None,\n", + " max_epochs=10,\n", + " batch_size=64,\n", + " scheduler=None,\n", + " scheduler_params=None,\n", + " ):\n", + " \"\"\"Fits model to the given data by using random samples for each batch\n", + " Args:\n", + " x (torch.Tensor): Original time series data\n", + " optim (torch.optim): Optimizer\n", + " optim_params: Optimizer parameters\n", + " max_epochs (int): Number of training epochs\n", + " batch_size (int): Batch size for torch.utils.data.DataLoader\n", + " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", + " scheduler_params: Learning rate scheduler parameters\n", + " \"\"\"\n", + " dataset = TensorDataset(x)\n", + " loader = DataLoader(dataset, batch_size=batch_size)\n", + "\n", + " if optim_params is not None:\n", + " optimizer = optim(self.parameters(), **optim_params)\n", + " else:\n", + " optimizer = optim(self.parameters())\n", + "\n", + " if scheduler is not None:\n", + " if scheduler_params is not None:\n", + " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", + " else:\n", + " lr_scheduler = scheduler(optimizer)\n", + "\n", + " for epoch in range(max_epochs):\n", + " for i, data in enumerate(loader, 0):\n", + " self.zero_grad()\n", + "\n", + " n = data[0].shape[0]\n", + "\n", + " if n < 3:\n", + " continue\n", + "\n", + " # Takes a random data point from \"data\"\n", + " ri = torch.randint(low=0, high=n - 2, size=()).item()\n", + " single_point = data[0][ri : ri + 1, :]\n", + " init_point = {\n", + " var: single_point[0, i] for i, var in enumerate(self.var_names)\n", + " }\n", + "\n", + " pred = {\n", + " name: value.unsqueeze(0) for name, value in self.init_vars.items()\n", + " }\n", + "\n", + " pred = self.step_solver(init_point)\n", + "\n", + " predictions = torch.stack([pred[var] for var in self.outvar], dim=0)\n", + "\n", + " # Compare numerical integration data with next data point\n", + " loss = self.criterion(predictions, data[0][ri + 1, :])\n", + "\n", + " loss.backward(retain_graph=True)\n", + " optimizer.step()\n", + "\n", + " if scheduler is not None:\n", + " lr_scheduler.step()\n", + "\n", + " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", + " print(self.coeffs)\n", + " # Testing to see that self.dnns changes\n", + " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", + "\n", + " def _step(self, batch, batch_idx, num_batches):\n", + " (x,) = batch\n", + " nt = x.shape[0]\n", + " pred = self(nt)\n", + " return self.criterion(pred, x)" + ], + "execution_count": 3, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "vhzCXiGS7vcj" + }, + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs, dnns):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs, dnns):\n", + " return 0.8*torch.cos(0.5*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs, dnns):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2}" + ], + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0-Om8KZe7zHS" + }, + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NwF7ddNl71cq" + }, + "source": [ + "ode_solver = ODEDNNSolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ], + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "UnDf8azV8W0p", + "outputId": "6eca4784-0e7d-4537-95d8-94ec220d1156" + }, + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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3OopSbksL307GGH774Xayy2p4du4wort2sjqSV4oND2bq4J4sXr+P2oZmq+Mo5Za08O302rp9fPhDMfdO6cvEfj2sjuPVbp6QxOH6Zt7fUmR1FKXckha+HTblV/LExzuZ3L8H8ybpcXurjYzvxvC4rixam0eL3oil1H/Rwj9L+QdqufW1dGLDg/n7VcPw0eP2buGWCUnkHzzKV1llVkdRyu1o4Z+FQ7WN3PTKJgBevjFNr7d3IxcPimq9EUsv0VTqv2jhn6GG5hZue30zxYfqWHB9KgkRIVZHUsf48UasjXmVbC/SG7GUOpYW/hlobrFx3zsZbMyv5K+zzyFNb65yS///RiydbkGpY2nhnyabzfDg+9v5ZHsp/3PJAGYMO9GiXsod/Hgj1sfbSimtrrM6jlJuQwv/NBhjeHTZDt7fUsS9U/pyy7lJVkdSp/DjjVivr9tndRSl3IYW/im02AwPL83k9fX7uO28JO6arJdfdgSx4cFMGRDFWxsLqG/SFbGUAi38k2pstnH32z/w5oYC7piYzEPT+iOil192FDeOT+DQ0SaWZZRYHUWp02aMobK20Snv7eeUd/UANfVNzHvzB77dXcFvpvXntvOTrY6kztDYpO70i+rMq9/nM3tkjP6wVm6rqcXGprxKvswq56tdZbTYDGsemOTwv7Na+CeQf6CWW15LJ+9ALU9dPoS5o+KsjqTOgohw/bh4Hv4wk/R9h/SqKuVWSqrqWLf3IKuyy/l2dwU19c0E+PkwLrk7kwdE0WIz+Plq4TvV17vKuPedDETg9Z+NYlxKhNWRlB1mDY/mz5/u4pXv87XwlaXKa+pZt/cg63MPsm7vQfIPHgUgIjSAaYN7MnlAFBNSIggJdF4ta+G3qW9q4ckVWby2bh/9e3ZmwXWpxHUPtjqWslNwgB9XpcWy6Lt8Sqvr6BWms5kq16ioaWBTfiXr9h5kXe5BcsqPANA5yI/RieFcNzaBsUnd6d+zs8umZtHCB9bsqeDRZTvIrajl5gmJ/PrifgT5+1odSznI9WMTWLg2j8XrC/jVxf2sjqM81P7qejbkHWR9biUb8w6yt6IWgOAAX9ISwpk9Moaxyd0Z1DvMsjUzvLrw91Yc4emV2XyauZ/47sG8fvMozu0TaXUs5WCx4cFM7h/FmxsLmHdBiv4wVw5RdrieNXsOsCH3IBvyKimobD1E0znQj7TEcGanxjI6MZzB0WH4+7rHBZEOKXwRmQo8C/gCC40xTx33/UDgNWAkcBC4yhiT74ixz5Qxhi0Fh3j5u3w+2V5KkJ8vv7qo9WYqLQLPddP4BL7MKuPjbaVcOTLG6jiqA6pvaiE9/xDf7i5n9e4DZJfVANA12J9RCeHcMC6B0YnhDOjVxW1XvbO78EXEF5gPXAgUAZtEZJkxZucxm90MHDLGpIjIXODPwFX2jn26GpttZBRVsXp3BZ9sLyW3opaQAF9uPz+ZmyckEhEa6KooyiLjkrvTp0cor3yfxxUjovUSTXVaDtc38XVWOZ9mlvLt7grqm2wE+PqQmtCN34zoz7l9Il16DN5ejtjDHwXkGGNyAUTkbWAGcGzhzwAea3v8HvCciIgxximrVDyyNJPquiZq6psoOlRH3oFamm0GH4HU+HBuPy+Z6ef0ItSJZ8OVe2m9RDOBR5ZmsqXgECPj9YoddWL1TS18lrmfZRklrN1zgMYWG1FdApmTGsvEfpGMSepOcEDH7A5HpI4GCo95XgSMbm8bY0yziFQD3YEDx7+ZiNwK3AoQF3d217+v3lOBAKFBfsR3D+HCgVEMiQ5jXHIEYcE6d723unx4NH/5bBcvf5evha/+D2MM24qqWZJeyLKMEmrqm4nu2onrx8YzbUhPhsd26zB78Sfjdj+mjDELgAUAqampZ/UvgG9/PcmhmZRnCAn0Y05qLK9+n8/+6np6hgVZHUlZrKnFxortpSxck8f24mqC/H2YPrjXf064ekLJH8sRhV8MxB7zPKbttRNtUyQifkAYrSdvlXKp68fGs+i7PN7csI/7LtJLNL3V0cZm3txQwKK1eZRU15MUGcITMwczY1hvugR57lEARxT+JqCPiCTSWuxzgWuO22YZcAOwDrgS+NpZx++VOpn47iGc3zeStzcV8svJfdzmcjnlGg3NLby1oYDnVuVw4EgjoxPDeWLmYCb16+Fxe/MnYnfhtx2TnwespPWyzEXGmB0i8jiQboxZBrwEvC4iOUAlrT8UlLLEtaPjueW1dL7YWcb0Ib2sjqNcwBjD0q3FPL1yN8VVdYxODOfF6/p53bkchxzDN8asAFYc99rvjnlcD8x2xFhK2WtS/x5Ed+3EG+v3aeF7gez9NTzyUSYb8yoZEh3GU1cMYUJKhFdemut2J22VcjZfH+HqUbE8/flu9lYcITky1OpIygnqm1r4xxe7Wbg2j85Bfjw5awhz02K94tBNe/QApvJKc9Ji8fMRFq8vsDqKcoLtRdX85J9reXF1LleOiOHr+ydyzeg4ry570MJXXqpH5yCmDu7Je5sLqWvUJRA9RYvN8M+v9jDrX99RU9/Eaz8bxZ+vPIfwkACro7kFLXzlta4dE8/h+maWb9MlED3BodpGbnplE3/7YjfThvRi5T3ncV5fnQzxWHoMX3mt0Ynh9OkRyuL1+5iTGnvq36Dc1raiKn7xxhYqahp4ctYQrh4V65UnZU9F9/CV1xIRfjo6joyiarYVVVkdR52lFdtLufKFdRhjePf2sVwzOk7Lvh1a+MqrXT4yhk7+vryxfp/VUdQZMsawcE0ud765hSHRYSz/5QSGxna1OpZb08JXXq1LkD8zhvVmWUYJ1UebrI6jTpPNZnj845384ZMspg7qyeJbRtNdpzk/JS185fWuHRNPfZON97cUWR1FnYYWm+HB97fx8nf53DQ+geeuGaGLF50mLXzl9QZHhzEstiuLN+xDp3hyby02w6/fzeDdzUXcPbkPv/vJQLddXcodaeErRete/t6KWtbnVlodRbWjxWa4b8lWPvihmPsu7Mu9F/bVk7NnSAtfKeCSIb3oHOTH25v0zlt3ZIzhf5Zu56OtJfz64n7cNbmP1ZE6JC18pYBOAb7MGh7Np5n7qTraaHUcdZy/fb6btzYWMm9SCndOSrE6Toelha9Um7lpcTQ22/hgy/Hr9ygrLVqbx3Orcrh6VCz3X9TX6jgdmha+Um0G9u7C0Jgw3t5UoCdv3cRnmaU8/vFOpg7qyR9mDtFj9nbSwlfqGHNHxbG77AhbCvTOW6vtKKnm3ncyGB7XlWfmDtOrcRxAC1+pY1w6tDfBAb68vVFP3lqpoqaBn7+aTtdgf168bqReZ+8gWvhKHSM00I/Lhvbm422l1NTrnbdWaGhu4fY3NlN5tJF/X59Kj85BVkfyGFr4Sh1n7qg46ppa+GirTptshT+t2MXmfYf42+xhDI4OszqOR9HCV+o4Q2PC6N+zs16Tb4FPt5fyyvf53DIhkUvO0fWGHU0LX6njiAhXj4ojs/gwmcXVVsfxGgUHj/LAe9sYFtuVB6b2tzqOR9LCV+oEZg6LJtDPh7f05K1LNDS3cOebWxCB564ZToCfVpMz2PVfVUTCReQLEdnT9mu3drZrEZGtbV/L7BlTKVcIC/bnkiG9+GhrCUcbm62O4/H+/vluthdX8/TsocR0C7Y6jsey98foQ8BXxpg+wFdtz0+kzhgzrO3rMjvHVMol5o6K40hDMx9vK7U6ikfblF/JgjW5XDM6josG9bQ6jkezt/BnAK+2PX4VmGnn+ynlNtISupEcGaLX5DtRbUMz9y/JILZbMA9PH2B1HI9nb+FHGWN+3P3ZD0S1s12QiKSLyHoROekPBRG5tW3b9IqKCjvjKXX2RIS5aXFsKahid1mN1XE80h9XZFF46ChPzx5KSKCf1XE83ikLX0S+FJHME3zNOHY70zr5SHsTkMQbY1KBa4BnRCS5vfGMMQuMManGmNTIyMgz+SxKOdzlI6Lx9xWWbCq0OorHWb27gjc3FHDruUmMSgy3Oo5XOOWPVGPMlPa+JyJlItLLGFMqIr2A8nbeo7jt11wR+QYYDuw9u8hKuU730EAm94/iwx+KeXBaf/x99eoRR6hrbOHhpdtJigzh3gt1BkxXsfdv7zLghrbHNwAfHb+BiHQTkcC2xxHAeGCnneMq5TKzU2M4WNvI17tOuD+jzsIzX+2msLKOP80aovPkuJC9hf8UcKGI7AGmtD1HRFJFZGHbNgOAdBHJAFYBTxljtPBVh3F+30giOwfybroucu4IO0sOs3BNHlelxjI6qbvVcbyKXWdJjDEHgckneD0duKXt8ffAEHvGUcpKfr4+XD4imoVr8iivqdfJvOzQYjP85sPtdAv25zfT9W5aV9MDkkqdhtkjY2mxGZb+oKth2eON9fvIKKzikZ8MpGtwgNVxvI4WvlKnIaVHKCPiurIkvUhXwzpLB4808PTn2ZzbJ4LLhva2Oo5X0sJX6jTNSY0lp/wIWwt1Nayz8bcvdlPX2MKjlw7UpQotooWv1Gm65JxeBPn7sERP3p6xHSXVvLWxgOvHJpDSo7PVcbyWFr5Sp6lzkD/Th/Ti44wS6hpbrI7TYRhj+P3ynXQLDuDuyX2sjuPVtPCVOgOzR8ZS09DMZzt0QrXTtWL7fjbmVXL/RX0JC/a3Oo5X08JX6gyMTgwnLjxYr8k/TfVNLTy5IosBvbowNy3O6jheTwtfqTPg4yNcOTKG7/cepLDyqNVx3N5r6/IprqrjkZ8MwNdHT9RaTQtfqTN0xcgYROC9zbqXfzLVR5uYv2ovE/tFMi45wuo4Ci18pc5YdNdOTEiJ4L3NRdhsek1+e57/di+H65t44GK9o9ZdaOErdRZmp8ZSXFXHutyDVkdxS6XVdbz8XR4zh0UzsHcXq+OoNlr4Sp2FiwZG0SXIjyXpOk/+iTz75R6Mgft06mO3ooWv1FkI8vdlxrBoPsvcT3Vdk9Vx3EpOeQ1L0gu5dkw8seG6ILk70cJX6izNTo2hodnG8owSq6O4ladX7iY4wI95F6RYHUUdRwtfqbM0JDqM/j07864e1vmP3WU1fLZjPz8bn0B4iM6G6W608JU6SyKt1+RnFFWTvV8XOQeYvyqH4ABfbhqfaHUUdQJa+ErZYdbwaPx8RPfygfwDtSzPKOHaMfF00717t6SFr5QduocGMmVA6yLnjc02q+NY6oVv9+Ln68MtE3Tv3l1p4Stlpzlpush5SVUd728pYm5aLD266BKQ7koLXyk7ndcnkh6dA736sM6C1bkYA7edn2x1FHUSWvhK2cnP14crRsawKruc8sP1VsdxuYqaBt7aWMCs4dFEd+1kdRx1EnYVvojMFpEdImITkdSTbDdVRLJFJEdEHrJnTKXc0eyRMdgMfOCFi5y/tDaPphYbv5ioe/fuzt49/EzgcmB1exuIiC8wH5gGDASuFpGBdo6rlFtJigwlLaEbS9ILvWqR86qjjby+Lp9LzulNUmSo1XHUKdhV+MaYLGNM9ik2GwXkGGNyjTGNwNvADHvGVcodzU6NJbeili0Fh6yO4jKvfJ9PbWMLd07SvfuOwBXH8KOBY89mFbW9dkIicquIpItIekVFhdPDKeUolwzpRXCAL0s2ecc8+Ucamnn5u3ymDIiif0+dEbMjOGXhi8iXIpJ5gi+n7KUbYxYYY1KNMamRkZHOGEIppwgJ9OOSIb34eFsJtQ3NVsdxujfW76O6rknnzOlA/E61gTFmip1jFAOxxzyPaXtNKY8zJy2WdzcXsWJ7KbNTY0/9Gzqo+qYWFq7J49w+EQyL7Wp1HHWaXHFIZxPQR0QSRSQAmAssc8G4Srlcanw3EiNCPH6R83c2FXLgSAN3TtK9+47E3ssyZ4lIETAW+EREVra93ltEVgAYY5qBecBKIAtYYozZYV9spdyTiDA7NYaN+ZXkVhyxOo5TNDbbePHbvaQldGN0YrjVcdQZsPcqnQ+NMTHGmEBjTJQx5uK210uMMdOP2W6FMaavMSbZGPNHe0Mr5c6uGBGDjwcvcv7hD0WUVNdz56QURMTqOOoM6J22SjlYVJcgJvbrwftbimhu8awJ1ZpbbDz/zV6GRIdxfl+9qKKj0cJXygnmpMZQdriBNXsOWB3FoT7ZXhSABCkAAArFSURBVEr+waPcOSlZ9+47IC18pZzggv5RhIcEeNQi5zabYf6qHPr0COWigT2tjqPOgha+Uk4Q4OfDrOHRfJlVRmVto9VxHOKLrDJ2lx3hzkkp+Pjo3n1HpIWvlJPMTo2hqcWw1AMmVDOmde8+LjyYn5zTy+o46ixp4SvlJP17duGcmDCPmFBtzZ4DbCuq5o6Jyfj5am10VPonp5QTzU6NZdf+GjKKqq2OYpfnvs6hV1gQl4+IsTqKsoMWvlJONHNYb4IDfFm8fp/VUc7axrxKNuZXcut5SQT4aWV0ZPqnp5QTdQ7yZ8aw3izfVkL10Sar45yV51blEBEawNy0OKujKDtp4SvlZD8dHU99k40Pfuh4d95mFFaxencFN09IolOAr9VxlJ208JVyssHRYQyN7criDQUd7uTt/FU5dAny49oxunfvCbTwlXKBn46OI6f8CBvyKq2Octqy99fw+c4ybhqfSOcgf6vjKAfQwlfKBS49pzddgvxYvKHA6iin7V/f5BAS4MtN4xOsjqIcRAtfKRfoFODLFSNj+CyzlIqaBqvjnFL+gVqWZ5Rw7Zh4ugYHWB1HOYgWvlIu8tPR8TS1GN7d7P7z6zz/zV78fH24+dxEq6MoB9LCV8pFUnqEMiYpnMXrC9x62uTCyqO8v6WIq9Ni6dE5yOo4yoG08JVyoRvHJVJcVcfnO8usjtKu57/di48It09MtjqKcjAtfKVc6MKBUcSFB/PS2jyro5xQSVUd76YXMicthl5hnayOoxxMC18pF/L1EW4cl8DmfYfYWlhldZz/8sK3ewH4xURdnNwTaeEr5WJz0mLpHOjndnv5+6vreXtjIVeOjCW6q+7deyItfKVcLDTQj6vSYlmxvZSSqjqr4/zHi6v3YjOGO/TYvcfSwlfKAjeMS8AYw6vr8q2OAkB5TT1vbijg8hHRxIYHWx1HOYldhS8is0Vkh4jYRCT1JNvli8h2EdkqIun2jKmUJ4gND2ba4F68uaGA6jrrZ9Gc/3UOzTbDHXrs3qPZu4efCVwOrD6NbScZY4YZY9r9waCUN/nFxGRq6pt5fV2+pTkKK4/y5sYCrkqLJSEixNIsyrnsKnxjTJYxJttRYZTyJoOjw7igfw9eWptHbUOzZTn+8cVufES4e3IfyzIo13DVMXwDfC4im0Xk1pNtKCK3iki6iKRXVFS4KJ5S1ph3QQqHjjbxpkWTqu3af5gPtxZz0/hEorroXbWe7pSFLyJfikjmCb5mnME4E4wxI4BpwJ0icl57GxpjFhhjUo0xqZGRkWcwhFIdz4i4bkxIieDF1bnUN7W4fPynV2bTOdCPX5yvV+Z4g1MWvjFmijFm8Am+PjrdQYwxxW2/lgMfAqPOPrJSnmXeBSkcONLA6+tcu+7t9zkH+DKrnNsnJhMWrPPdewOnH9IRkRAR6fzjY+AiWk/2KqWAMUndOa9vJPO/yXHZFTvNLTZ+v3wnseGd+Nl4nRHTW9h7WeYsESkCxgKfiMjKttd7i8iKts2igLUikgFsBD4xxnxmz7hKeZoHp/ajuq7pP1MbONviDQVkl9Xw8PSBBPnrWrXews+e32yM+ZDWQzTHv14CTG97nAsMtWccpTzdoN5hzBwWzaK1eVw/Nt6pE5dV1jbyt8+zGZ/SnYsHRTltHOV+9E5bpdzEfRf2xQBPrtjl1HGeXJFFbWMLj146CBFx6ljKvWjhK+UmYsODuXNiCsszSli92zmXJH+TXc57m4u47bwk+kZ1dsoYyn1p4SvlRm6fmERSRAiPfJTp8Ms0a+qb+O0H20npEcpdepOVV9LCV8qNBPr58sTMwew7eJRnv9rj0Pd+4uOd7D9cz1+uPEdP1HopLXyl3Mz4lAiuSo3lhW/38n3OAYe85/ubi1iSXsQdE1MYEdfNIe+pOh4tfKXc0KOXDSQxIoR73tnKwSMNdr1X9v4a/mdpJmOSwrlnih7K8WZa+Eq5oeAAP/559XCq6pq4/Y3NNDSf3fH8ssP13PTyRkKD/PjfucPx89X/5b2Z/ukr5aYG9Q7j6dlD2ZR/iPuXZNDcYjuj33/wSAM3LNpIdV0TL9+YRg+dHM3r2XXjlVLKuS4b2pvSqjr+9OkubMbwzFXDCfA79X5aSVUd1y/aSGHlURbekMrg6DAXpFXuTgtfKTd32/nJ+PoIf/gki+Kqdfxz7nDiure/DOHXu8q4f0kGTS2GV382ijFJ3V2YVrkzLXylOoBbzk0iumsnHnx/Gxc98y03jkvkqrRYEttWqGpusbExv5JFa/P4MqucAb26MP+a4SRFhlqcXLkTMcZYnaFdqampJj1dl8BV6kfFVXX85bNdLMsowRjoFuxPaJAfFTUN1DfZ6BLkx+0Tk/nZ+ES91t5Licjm9paS1cJXqgMqqarj8x37yS6rob7JRnhIACPiujF5QA8tei93ssLXQzpKdUC9u3biRp3HXp0hvSxTKaW8hBa+Ukp5CS18pZTyElr4SinlJbTwlVLKS2jhK6WUl9DCV0opL6GFr5RSXsKt77QVkQpg31n+9gjAMcsFdRz6mb2DfmbPZ8/njTfGRJ7oG25d+PYQkfT2bi/2VPqZvYN+Zs/nrM+rh3SUUspLaOErpZSX8OTCX2B1AAvoZ/YO+pk9n1M+r8cew1dKKfV/efIevlJKqWNo4SullJfwuMIXkakiki0iOSLykNV5nE1EYkVklYjsFJEdInK31ZlcRUR8ReQHEfnY6iyuICJdReQ9EdklIlkiMtbqTM4mIve2/b3OFJG3RCTI6kyOJiKLRKRcRDKPeS1cRL4QkT1tv3ZzxFgeVfgi4gvMB6YBA4GrRWSgtamcrhm43xgzEBgD3OkFn/lHdwNZVodwoWeBz4wx/YGhePhnF5Fo4C4g1RgzGPAF5lqbyileAaYe99pDwFfGmD7AV23P7eZRhQ+MAnKMMbnGmEbgbWCGxZmcyhhTaozZ0va4htYSiLY2lfOJSAxwCbDQ6iyuICJhwHnASwDGmEZjTJW1qVzCD+gkIn5AMFBicR6HM8asBiqPe3kG8Grb41eBmY4Yy9MKPxooPOZ5EV5Qfj8SkQRgOLDB2iQu8QzwAGCzOoiLJAIVwMtth7EWikiI1aGcyRhTDDwNFAClQLUx5nNrU7lMlDGmtO3xfiDKEW/qaYXvtUQkFHgfuMcYc9jqPM4kIj8Byo0xm63O4kJ+wAjgeWPMcKAWB/0z3121HbeeQesPu95AiIhca20q1zOt18475Pp5Tyv8YiD2mOcxba95NBHxp7XsFxtjPrA6jwuMBy4TkXxaD9tdICJvWBvJ6YqAImPMj/96e4/WHwCebAqQZ4ypMMY0AR8A4yzO5CplItILoO3Xcke8qacV/iagj4gkikgArSd4llmcyalERGg9rptljPm71XlcwRjzG2NMjDEmgdY/46+NMR6952eM2Q8Uiki/tpcmAzstjOQKBcAYEQlu+3s+GQ8/UX2MZcANbY9vAD5yxJv6OeJN3IUxpllE5gEraT2jv8gYs8PiWM42HrgO2C4iW9te+60xZoWFmZRz/BJY3LYzkwvcZHEepzLGbBCR94AttF6N9gMeOMWCiLwFTAQiRKQIeBR4ClgiIjfTOkX8HIeMpVMrKKWUd/C0QzpKKaXaoYWvlFJeQgtfKaW8hBa+Ukp5CS18pZTyElr4SinlJbTwlVLKS/w/TlcYSqWkWBcAAAAASUVORK5CYII=\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ObTghBli7-no" + }, + "source": [ + "# Euler's method for training" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "87VAZZtR7-n1" + }, + "source": [ + "def x_prime_prime_train(prev_val, coeffs, dnns):\n", + " return dnns(torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" + ], + "execution_count": 7, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "dTx1Q0PV7-n2" + }, + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0.}\n", + "ode_train = {\"x\": x_prime, \"x_\": x_prime_prime_train, \"t\": t_prime}\n", + "\n", + "ode_solver_train = ODEDNNSolver(\n", + " ode=ode_train,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")" + ], + "execution_count": 8, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "67eN5ZyB7-n2", + "outputId": "1588284b-d8f3-42ed-ff4e-0428b39394e8" + }, + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.02},\n", + " max_epochs=20,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", + ")" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(6.2093e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1419, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1420, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0721, requires_grad=True)}\n", + "DNN(1) tensor([0.2365], grad_fn=)\n", + "Epoch: 1\t Loss: tensor(2.0705e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2516, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1099, requires_grad=True)}\n", + "DNN(1) tensor([0.1373], grad_fn=)\n", + "Epoch: 2\t Loss: tensor(2.1068e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2731, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2960, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1083, requires_grad=True)}\n", + "DNN(1) tensor([0.2051], grad_fn=)\n", + "Epoch: 3\t Loss: tensor(2.6809e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2646, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3165, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0769, requires_grad=True)}\n", + "DNN(1) tensor([0.3410], grad_fn=)\n", + "Epoch: 4\t Loss: tensor(2.4307e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2557, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3321, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0659, requires_grad=True)}\n", + "DNN(1) tensor([0.2867], grad_fn=)\n", + "Epoch: 5\t Loss: tensor(2.1748e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3312, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0237, requires_grad=True)}\n", + "DNN(1) tensor([0.4414], grad_fn=)\n", + "Epoch: 6\t Loss: tensor(2.6169e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1903, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3348, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0237, requires_grad=True)}\n", + "DNN(1) tensor([0.3845], grad_fn=)\n", + "Epoch: 7\t Loss: tensor(1.6772e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1749, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3486, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0295, requires_grad=True)}\n", + "DNN(1) tensor([0.4565], grad_fn=)\n", + "Epoch: 8\t Loss: tensor(3.1222e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1566, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3485, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0641, requires_grad=True)}\n", + "DNN(1) tensor([0.2051], grad_fn=)\n", + "Epoch: 9\t Loss: tensor(5.5046e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1387, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3774, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0270, requires_grad=True)}\n", + "DNN(1) tensor([0.4718], grad_fn=)\n", + "Epoch: 10\t Loss: tensor(8.6054e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1340, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3802, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0232, requires_grad=True)}\n", + "DNN(1) tensor([0.4493], grad_fn=)\n", + "Epoch: 11\t Loss: tensor(1.7816e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1227, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3761, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0155, requires_grad=True)}\n", + "DNN(1) tensor([0.4175], grad_fn=)\n", + "Epoch: 12\t Loss: tensor(1.5981e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1157, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3760, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0098, requires_grad=True)}\n", + "DNN(1) tensor([0.4440], grad_fn=)\n", + "Epoch: 13\t Loss: tensor(1.0512e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1122, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3779, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0064, requires_grad=True)}\n", + "DNN(1) tensor([0.4677], grad_fn=)\n", + "Epoch: 14\t Loss: tensor(1.4457e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1096, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3788, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0031, requires_grad=True)}\n", + "DNN(1) tensor([0.4644], grad_fn=)\n", + "Epoch: 15\t Loss: tensor(1.2071e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1031, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3770, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0009, requires_grad=True)}\n", + "DNN(1) tensor([0.4661], grad_fn=)\n", + "Epoch: 16\t Loss: tensor(1.5328e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0963, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3764, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0040, requires_grad=True)}\n", + "DNN(1) tensor([0.4691], grad_fn=)\n", + "Epoch: 17\t Loss: tensor(1.4537e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0909, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3771, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0068, requires_grad=True)}\n", + "DNN(1) tensor([0.4822], grad_fn=)\n", + "Epoch: 18\t Loss: tensor(1.4585e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0887, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3810, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0104, requires_grad=True)}\n", + "DNN(1) tensor([0.4979], grad_fn=)\n", + "Epoch: 19\t Loss: tensor(1.1779e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0851, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3836, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0162, requires_grad=True)}\n", + "DNN(1) tensor([0.5046], grad_fn=)\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 266 + }, + "id": "IOMjwKY27-n2", + "outputId": "1e8218d2-8200-4b08-9ae5-ec7152cfe18d" + }, + "source": [ + "result = ode_solver_train(1000)\n", + "\n", + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ], + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9adPvysOrfMr" + }, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "kwktnR93ripb" + }, + "source": [ + "ode_solver = ODEDNNSolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ], + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "aVYankyRrwoW", + "outputId": "bc16f6f1-c234-44cb-c9e6-ce0b4f5e8f45" + }, + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result)" + ], + "execution_count": 12, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor(0.0529, grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ] + } + ] +} diff --git a/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb new file mode 100644 index 00000000..54e4a9e1 --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_fitRandomSample_with_w_RK4.ipynb @@ -0,0 +1,467 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.chdir(\"../../../\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torchts.nn.models.ode import ODESolver\n", + "import numpy as np\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import mpl_toolkits.mplot3d.axes3d as p3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs):\n", + " return coeffs[\"g\"]*torch.cos(coeffs[\"w\"]*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2, \"g\": 0.8, \"w\": 0.5}\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor([[0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [3.9973e-05, 7.9920e-03, 1.0000e-02],\n", + " [1.5979e-04, 1.5968e-02, 2.0000e-02],\n", + " ...,\n", + " [1.3451e-01, 1.5991e-01, 9.9701e+00],\n", + " [1.3612e-01, 1.6162e-01, 9.9801e+00],\n", + " [1.3774e-01, 1.6335e-01, 9.9901e+00]], grad_fn=)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T18:55:08.268586\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Euler's method for training" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0., \"g\": 0., \"w\": 1.}\n", + "\n", + "ode_solver_train = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results_test = ode_solver_train(1000)\n", + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch: 0\t Loss: tensor(8.9032e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0939, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2094, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.2346, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6090, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2538, requires_grad=True)}\n", + "Epoch: 1\t Loss: tensor(4.9188e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0489, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3273, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1743, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5939, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1477, requires_grad=True)}\n", + "Epoch: 2\t Loss: tensor(4.3954e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.2185, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3450, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.3001, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.4604, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2030, requires_grad=True)}\n", + "Epoch: 3\t Loss: tensor(3.3049e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3561, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3772, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0100, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5225, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2189, requires_grad=True)}\n", + "Epoch: 4\t Loss: tensor(7.9197e-07, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3269, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.4776, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.2438, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.5106, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1436, requires_grad=True)}\n", + "Epoch: 5\t Loss: tensor(3.3845e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5730, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2565, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1418, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.3832, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2320, requires_grad=True)}\n", + "Epoch: 6\t Loss: tensor(1.0648e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.1834, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5642, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1710, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.8034, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1777, requires_grad=True)}\n", + "Epoch: 7\t Loss: tensor(3.9116e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.6395, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3052, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.4333, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.3324, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2096, requires_grad=True)}\n", + "Epoch: 8\t Loss: tensor(8.1171e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.3244, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.5010, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0407, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.6752, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.2112, requires_grad=True)}\n", + "Epoch: 9\t Loss: tensor(8.6279e-08, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(-0.5913, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2579, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1300, requires_grad=True), 'g': Parameter containing:\n", + "tensor(0.4061, requires_grad=True), 'w': Parameter containing:\n", + "tensor(1.1630, requires_grad=True)}\n" + ] + } + ], + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.1},\n", + " max_epochs=10\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'a': Parameter containing:\n", + " tensor(-0.5913, requires_grad=True),\n", + " 'b': Parameter containing:\n", + " tensor(0.2579, requires_grad=True),\n", + " 'd': Parameter containing:\n", + " tensor(-0.1300, requires_grad=True),\n", + " 'g': Parameter containing:\n", + " tensor(0.4061, requires_grad=True),\n", + " 'w': Parameter containing:\n", + " tensor(1.1630, requires_grad=True)}" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ode_solver_train.coeffs\n", + "\n", + "# Awful results" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Predictions for nt = 10000" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor([[ 0.0000e+00, 0.0000e+00, 0.0000e+00],\n", + " [ 2.0315e-05, 4.0638e-03, 1.0000e-02],\n", + " [ 8.1293e-05, 8.1327e-03, 2.0000e-02],\n", + " ...,\n", + " [-2.5672e+00, -2.0745e+03, 9.9973e+01],\n", + " [-2.3307e+01, -2.0681e+03, 9.9983e+01],\n", + " [-4.3622e+01, -1.9648e+03, 9.9993e+01]], grad_fn=)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results_test = ode_solver_train(10000)\n", + "results_test" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T19:00:20.434921\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot\n", + "plt.plot(results_test_np[:,2], results_test_np[:,0])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.io\n", + "\n", + "scipy.io.savemat(\"Duffing_fitRandomSample.mat\", {\"x\": results_test_np})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver = ODESolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs={'a': -0.5913,\n", + " 'b': 0.2579,\n", + " 'd': -0.1300,\n", + " 'g': 0.4061,\n", + " 'w': 1.1630},\n", + " dt=dt,\n", + " solver=\"rk4\",\n", + " optimizer=None\n", + ")\n", + "\n", + "result_test = ode_solver(1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(1.2754, grad_fn=)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result_test)" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "ff850aa56af9adbd63a8c19b31d292a54ba02470d4346286a8590995083eda9d" + }, + "kernelspec": { + "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py new file mode 100644 index 00000000..97ffc5d5 --- /dev/null +++ b/torchts/nn/models/hybridode.py @@ -0,0 +1,71 @@ +import torch +from torch import nn + +from torchts.nn.models.ode import ODESolver + + +class HybridODENet(ODESolver): + def __init__( + self, ode, dnns, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs + ): + super().__init__(ode, init_vars, init_coeffs, dt, solver, outvar, **kwargs) + + if ode.keys() != init_vars.keys(): + raise ValueError("Inconsistent keys in ode and init_vars") + + if solver == "euler": + self.step_solver = self.euler_step + elif solver == "rk4": + self.step_solver = self.runge_kutta_4_step + else: + raise ValueError(f"Unrecognized solver {solver}") + + for name, value in init_coeffs.items(): + self.register_parameter(name, nn.Parameter(torch.tensor(value))) + + self.ode = ode + self.dnns = dnns + self.var_names = ode.keys() + self.init_vars = { + name: torch.tensor(value, device=self.device) + for name, value in init_vars.items() + } + self.coeffs = {name: param for name, param in self.named_parameters()} + self.outvar = self.var_names if outvar is None else outvar + self.dt = dt + + def euler_step(self, prev_val): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + for var in self.var_names: + pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + return pred + + def runge_kutta_4_step(self, prev_val): + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + k_1 = prev_val + k_2 = {} + k_3 = {} + k_4 = {} + + for var in self.var_names: + k_2[var] = ( + prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt + ) + + for var in self.var_names: + k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt + + for var in self.var_names: + k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnns) * self.dt + + for var in self.var_names: + result = self.ode[var](k_1, self.coeffs, self.dnns) / 6 + result += self.ode[var](k_2, self.coeffs, self.dnns) / 3 + result += self.ode[var](k_3, self.coeffs, self.dnns) / 3 + result += self.ode[var](k_4, self.coeffs, self.dnns) / 6 + pred[var] = prev_val[var] + result * self.dt + + return pred + + From 54397d1baf16e732362907931c46e8a37215a101 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sun, 19 Dec 2021 18:26:33 +0000 Subject: [PATCH 57/73] Add pre-commit fixes --- torchts/nn/models/hybridode.py | 29 ++++++++++++++++++++++------- 1 file changed, 22 insertions(+), 7 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 97ffc5d5..380110f5 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -6,7 +6,15 @@ class HybridODENet(ODESolver): def __init__( - self, ode, dnns, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs + self, + ode, + dnns, + init_vars, + init_coeffs, + dt, + solver="euler", + outvar=None, + **kwargs, ): super().__init__(ode, init_vars, init_coeffs, dt, solver, outvar, **kwargs) @@ -37,7 +45,10 @@ def __init__( def euler_step(self, prev_val): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for var in self.var_names: - pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + pred[var] = ( + prev_val[var] + + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + ) return pred def runge_kutta_4_step(self, prev_val): @@ -50,14 +61,20 @@ def runge_kutta_4_step(self, prev_val): for var in self.var_names: k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt + prev_val[var] + + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt ) for var in self.var_names: - k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt + k_3[var] = ( + prev_val[var] + + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt + ) for var in self.var_names: - k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnns) * self.dt + k_4[var] = ( + prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnns) * self.dt + ) for var in self.var_names: result = self.ode[var](k_1, self.coeffs, self.dnns) / 6 @@ -67,5 +84,3 @@ def runge_kutta_4_step(self, prev_val): pred[var] = prev_val[var] + result * self.dt return pred - - From 929c39b3813333726fe4d788f8fc631f8aa09ced Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 13:28:29 -0500 Subject: [PATCH 58/73] Fixed linting issues --- torchts/nn/models/ode.py | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 0ac0cfc4..1df70da3 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -48,9 +48,7 @@ def runge_kutta_4_step(self, prev_val): k_4 = {} for var in self.var_names: - k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - ) + k_2[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt for var in self.var_names: k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt From b79cc17e01ac366dc3ca657e7d3035c6027ae3da Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sun, 19 Dec 2021 18:28:39 +0000 Subject: [PATCH 59/73] Add pre-commit fixes --- torchts/nn/models/ode.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 1df70da3..0ac0cfc4 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -48,7 +48,9 @@ def runge_kutta_4_step(self, prev_val): k_4 = {} for var in self.var_names: - k_2[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + k_2[var] = ( + prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt + ) for var in self.var_names: k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt From 4f13764b7244ef0c811371cf2c9c0d07ceb89b20 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 13:30:57 -0500 Subject: [PATCH 60/73] Fixed linting issues --- torchts/nn/models/hybridode.py | 9 +++------ 1 file changed, 3 insertions(+), 6 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 380110f5..2dab7323 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -46,8 +46,7 @@ def euler_step(self, prev_val): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for var in self.var_names: pred[var] = ( - prev_val[var] - + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt ) return pred @@ -61,14 +60,12 @@ def runge_kutta_4_step(self, prev_val): for var in self.var_names: k_2[var] = ( - prev_val[var] - + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt + prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt ) for var in self.var_names: k_3[var] = ( - prev_val[var] - + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt + prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt ) for var in self.var_names: From 3fd8444e81faeb0ef4eb9ee00f6438004b91da96 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sun, 19 Dec 2021 18:31:06 +0000 Subject: [PATCH 61/73] Add pre-commit fixes --- torchts/nn/models/hybridode.py | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 2dab7323..380110f5 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -46,7 +46,8 @@ def euler_step(self, prev_val): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for var in self.var_names: pred[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + prev_val[var] + + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt ) return pred @@ -60,12 +61,14 @@ def runge_kutta_4_step(self, prev_val): for var in self.var_names: k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt + prev_val[var] + + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt ) for var in self.var_names: k_3[var] = ( - prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt + prev_val[var] + + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt ) for var in self.var_names: From cccfa5a1f7d906c94e73bd9e8c7a19d425baa0ce Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 13:33:27 -0500 Subject: [PATCH 62/73] Fixed linting issues --- torchts/nn/models/hybridode.py | 17 ++++++----------- 1 file changed, 6 insertions(+), 11 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 380110f5..2b4115cb 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -60,21 +60,16 @@ def runge_kutta_4_step(self, prev_val): k_4 = {} for var in self.var_names: - k_2[var] = ( - prev_val[var] - + self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt - ) + k_2[var] = prev_val[var] + k_2[var] += self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt for var in self.var_names: - k_3[var] = ( - prev_val[var] - + self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt - ) + k_3[var] = prev_val[var] + k_3[var] += self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt for var in self.var_names: - k_4[var] = ( - prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnns) * self.dt - ) + k_4[var] = prev_val[var] + k_4[var] += self.ode[var](k_3, self.coeffs, self.dnns) * self.dt for var in self.var_names: result = self.ode[var](k_1, self.coeffs, self.dnns) / 6 From 1d1cdf8de04e2ef47cc2932667444e13dfe06e38 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 13:34:43 -0500 Subject: [PATCH 63/73] Fixed linting issues --- torchts/nn/models/hybridode.py | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 2b4115cb..3b2fd2e9 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -45,10 +45,8 @@ def __init__( def euler_step(self, prev_val): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} for var in self.var_names: - pred[var] = ( - prev_val[var] - + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt - ) + pred[var] = prev_val[var] + pred[var] += self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt return pred def runge_kutta_4_step(self, prev_val): From 581efa0e751c1406835634d8add25d407671b2ee Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 20:50:46 -0500 Subject: [PATCH 64/73] Changed ODESolver back to klane's model --- torchts/nn/models/ode.py | 65 ++++++---------------------------------- 1 file changed, 9 insertions(+), 56 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 0ac0cfc4..b64eb500 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -14,9 +14,7 @@ def __init__( raise ValueError("Inconsistent keys in ode and init_vars") if solver == "euler": - self.step_solver = self.euler_step - elif solver == "rk4": - self.step_solver = self.runge_kutta_4_step + self.solver = self.euler else: raise ValueError(f"Unrecognized solver {solver}") @@ -33,51 +31,16 @@ def __init__( self.outvar = self.var_names if outvar is None else outvar self.dt = dt - def euler_step(self, prev_val): + def euler(self, nt): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - for var in self.var_names: - pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt - return pred - - def runge_kutta_4_step(self, prev_val): - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - - k_1 = prev_val - k_2 = {} - k_3 = {} - k_4 = {} - - for var in self.var_names: - k_2[var] = ( - prev_val[var] + self.ode[var](prev_val, self.coeffs) * 0.5 * self.dt - ) - - for var in self.var_names: - k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt - - for var in self.var_names: - k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt - - for var in self.var_names: - result = self.ode[var](k_1, self.coeffs) / 6 - result += self.ode[var](k_2, self.coeffs) / 3 - result += self.ode[var](k_3, self.coeffs) / 3 - result += self.ode[var](k_4, self.coeffs) / 6 - pred[var] = prev_val[var] + result * self.dt - - return pred - - def solver(self, nt, initial=None): - if initial is None: - initial = self.init_vars - pred = {name: value.unsqueeze(0) for name, value in initial.items()} for n in range(nt - 1): # create dictionary containing values from previous time step prev_val = {var: pred[var][[n]] for var in self.var_names} - new_val = self.step_solver(prev_val) + for var in self.var_names: - pred[var] = torch.cat([pred[var], new_val[var]]) + new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt + pred[var] = torch.cat([pred[var], new_val]) # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) @@ -89,17 +52,7 @@ def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} def _step(self, batch, batch_idx, num_batches): - x, y = self.prepare_batch(batch) - nt = y.shape[1] - - init_point = {var: x[0, i] for i, var in enumerate(self.var_names)} - pred = self.solver(nt, init_point) - - # TODO: Account for batch size > 1 - pred = pred.view(1, pred.shape[0], pred.shape[1]) - - if self.criterion_args is not None: - loss = self.criterion(pred, y, **self.criterion_args) - else: - loss = self.criterion(pred, y) - return loss + (x,) = batch + nt = x.shape[0] + pred = self(nt) + return self.criterion(pred, x) \ No newline at end of file From 499663ed5532999c3f4d350a2772ce1d6c4a2d62 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Mon, 20 Dec 2021 01:50:56 +0000 Subject: [PATCH 65/73] Add pre-commit fixes --- torchts/nn/models/ode.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index b64eb500..76933707 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -55,4 +55,4 @@ def _step(self, batch, batch_idx, num_batches): (x,) = batch nt = x.shape[0] pred = self(nt) - return self.criterion(pred, x) \ No newline at end of file + return self.criterion(pred, x) From a3d95e9c7b51c9bab75f735f202d43ddd21b71b7 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 20:51:37 -0500 Subject: [PATCH 66/73] Removed Lorenz63 and SEIR tests --- examples/ode/SEIR/SEIRTest.ipynb | 511 ----------------------- examples/ode/lorenz63/Lorenz63Test.ipynb | 425 ------------------- 2 files changed, 936 deletions(-) delete mode 100644 examples/ode/SEIR/SEIRTest.ipynb delete mode 100644 examples/ode/lorenz63/Lorenz63Test.ipynb diff --git a/examples/ode/SEIR/SEIRTest.ipynb b/examples/ode/SEIR/SEIRTest.ipynb deleted file mode 100644 index 3a2a1998..00000000 --- a/examples/ode/SEIR/SEIRTest.ipynb +++ /dev/null @@ -1,511 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "from torchts.utils.data import generate_ode_dataset\n", - "\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Rossler Attractor equations\n", - "dt = 0.01\n", - "\n", - "def s_prime(prev_val, coeffs):\n", - " return - coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"]\n", - "\n", - "def e_prime(prev_val, coeffs):\n", - " return coeffs[\"g1\"]*prev_val[\"s\"]*prev_val[\"i\"] - coeffs[\"g2\"]*prev_val[\"e\"]\n", - "\n", - "def i_prime(prev_val, coeffs):\n", - " return coeffs[\"g2\"]*prev_val[\"e\"] - coeffs[\"a\"]*prev_val[\"i\"]\n", - "\n", - "def r_prime(prev_val, coeffs):\n", - " return coeffs[\"a\"]*prev_val[\"i\"]\n", - "\n", - "ode = {\"s\": s_prime, \"e\": e_prime, \"i\": i_prime, \"r\": r_prime}\n", - "\n", - "# Initial conditions [0,0,0]\n", - "ode_init = {\"s\": 0.1, \"e\": 0.9, \"i\": 0, \"r\": 0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2}\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.SGD,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7973e-03, 8.9910e-07],\n", - " [9.9999e-02, 8.9641e-01, 3.5892e-03, 3.5928e-06],\n", - " ...,\n", - " [3.3031e-02, 1.5079e-01, 4.4694e-01, 3.6924e-01],\n", - " [3.2987e-02, 1.5053e-01, 4.4679e-01, 3.6969e-01],\n", - " [3.2943e-02, 1.5028e-01, 4.4664e-01, 3.7014e-01]],\n", - " grad_fn=)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "x_train, y_train = generate_ode_dataset(result, num_steps=5)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(result_np[:,0])\n", - "plt.plot(result_np[:,1])\n", - "plt.plot(result_np[:,2])\n", - "plt.plot(result_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Runge-Kutta method for training" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "ode_train_coeffs = {\"a\": 0., \"g1\": 0., \"g2\": 0.}\n", - "\n", - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.Adam\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test = ode_solver(1000)\n", - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(results_test_np[:,0])\n", - "plt.plot(results_test_np[:,1])\n", - "plt.plot(results_test_np[:,2])\n", - "plt.plot(results_test_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "GPU available: False, used: False\n", - "TPU available: False, using: 0 TPU cores\n", - "IPU available: False, using: 0 IPUs\n", - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/configuration_validator.py:101: UserWarning: you defined a validation_step but have no val_dataloader. Skipping val loop\n", - " rank_zero_warn(f\"you defined a {step_name} but have no {loader_name}. Skipping {stage} loop\")\n", - "\n", - " | Name | Type | Params\n", - "------------------------------\n", - "------------------------------\n", - "3 Trainable params\n", - "0 Non-trainable params\n", - "3 Total params\n", - "0.000 Total estimated model params size (MB)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:105: UserWarning: The dataloader, train dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 4 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", - " rank_zero_warn(\n", - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:322: UserWarning: The number of training samples (8) is smaller than the logging interval Trainer(log_every_n_steps=50). Set a lower value for log_every_n_steps if you want to see logs for the training epoch.\n", - " rank_zero_warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch 0: 0%| | 0/8 [00:00<00:00, 210.98it/s] " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:219: UserWarning: Using a target size (torch.Size([128, 5, 4])) that is different to the input size (torch.Size([5, 4])). This will likely lead to incorrect results due to broadcasting. Please ensure they have the same size.\n", - " return self.criterion(pred, y)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch 0: 12%|█▎ | 1/8 [00:03<00:11, 1.71s/it, loss=0.0319, v_num=14, train_loss_step=0.0319]" - ] - }, - { - "ename": "RuntimeError", - "evalue": "Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;31m# )\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m ode_solver.fit(\n\u001b[0m\u001b[1;32m 8\u001b[0m \u001b[0mx_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m )\n", - "\u001b[0;32m~/Documents/GitHub/torchTS/torchts/nn/model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, x, y, max_epochs, batch_size)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0mloader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataLoader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshuffle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[0mtrainer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTrainer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 59\u001b[0;31m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mloader\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 60\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mprepare_batch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, model, train_dataloaders, val_dataloaders, datamodule, train_dataloader)\u001b[0m\n\u001b[1;32m 551\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcheckpoint_connector\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresume_start\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 552\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 553\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 554\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 555\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstopped\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_run\u001b[0;34m(self, model)\u001b[0m\n\u001b[1;32m 916\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 917\u001b[0m \u001b[0;31m# dispatch `start_training` or `start_evaluating` or `start_predicting`\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 918\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dispatch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 919\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 920\u001b[0m \u001b[0;31m# plugin will finalized fitting (e.g. ddp_spawn will load trained model)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_dispatch\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 984\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maccelerator\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_predicting\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 985\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 986\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maccelerator\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 987\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 988\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mrun_stage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/accelerators/accelerator.py\u001b[0m in \u001b[0;36mstart_training\u001b[0;34m(self, trainer)\u001b[0m\n\u001b[1;32m 90\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 91\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 92\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtraining_type_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrainer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 93\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 94\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_evaluating\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/plugins/training_type/training_type_plugin.py\u001b[0m in \u001b[0;36mstart_training\u001b[0;34m(self, trainer)\u001b[0m\n\u001b[1;32m 159\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 160\u001b[0m \u001b[0;31m# double dispatch to initiate the training loop\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 161\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_results\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun_stage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 162\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 163\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_evaluating\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36mrun_stage\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 994\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredicting\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 995\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run_predict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 996\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run_train\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 997\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 998\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_pre_training_routine\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - 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"\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/loops/fit_loop.py\u001b[0m in \u001b[0;36madvance\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 198\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mprofiler\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mprofile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"run_training_epoch\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 199\u001b[0m \u001b[0;31m# run train epoch\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 200\u001b[0;31m \u001b[0mepoch_output\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mepoch_loop\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain_dataloader\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 201\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 202\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mepoch_output\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - 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"\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/torch/tensor.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(self, gradient, retain_graph, create_graph)\u001b[0m\n\u001b[1;32m 219\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 220\u001b[0m create_graph=create_graph)\n\u001b[0;32m--> 221\u001b[0;31m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mautograd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgradient\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 222\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 223\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mregister_hook\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhook\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(tensors, grad_tensors, retain_graph, create_graph, grad_variables)\u001b[0m\n\u001b[1;32m 128\u001b[0m \u001b[0mretain_graph\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 130\u001b[0;31m Variable._execution_engine.run_backward(\n\u001b[0m\u001b[1;32m 131\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 132\u001b[0m allow_unreachable=True) # allow_unreachable flag\n", - "\u001b[0;31mRuntimeError\u001b[0m: Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time." - ] - } - ], - "source": [ - "# ode_solver.fit(\n", - "# result,torch.optim.Adam,\n", - "# {\"lr\": 0.01},\n", - "# max_epochs=20\n", - "# )\n", - "\n", - "ode_solver.fit(\n", - " x_train, y_train\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'a': 0.09994731843471527, 'g1': 0.2934265434741974, 'g2': 0.1998223513364792}" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ode_solver.get_coeffs()\n", - "\n", - "# Coefficients differ by at most 0.01" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Predictions for nt = 10000" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[1.0000e-01, 9.0000e-01, 0.0000e+00, 0.0000e+00],\n", - " [1.0000e-01, 8.9820e-01, 1.7957e-03, 8.9783e-07],\n", - " [9.9999e-02, 8.9641e-01, 3.5860e-03, 3.5877e-06],\n", - " ...,\n", - " [5.3956e-03, 1.9795e-06, 1.2833e-04, 9.9447e-01],\n", - " [5.3956e-03, 1.9776e-06, 1.2821e-04, 9.9447e-01],\n", - " [5.3956e-03, 1.9757e-06, 1.2808e-04, 9.9447e-01]],\n", - " grad_fn=)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "results_test = ode_solver(10000)\n", - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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l+bdKRtqMqsxMtt5ya/VaImfQ6corrA5JRESaqEnJyLPPPkuvXr0IDw8nIyOD77//fr/l33jjDYYOHUpkZCSpqalcccUV7NzZirpEohL921I9n6Yt8JWWsuX66/EVFhI+dAgpU6dqUTMRkTas0cnIO++8wy233MI999zDsmXLOOqoozj55JPJzMyss/y8efO47LLLuOqqq1i1ahXvvvsuixcv5uqrr2528EET6KbJtTYOOSDTNMn+271UrVuPIymJbv/8p6bwioi0cY1ORp544gmuuuoqrr76agYMGMD06dNJT0/nueeeq7P8jz/+SM+ePbnpppvo1asXY8aM4dprr+Wnn35qdvBBE13dTVO2E3xea2OR/cp/6y2KZs4Eu52u058kLCnJ6pBERKSZGpWMVFVVsWTJEsaPH19r//jx45k/f36d54wePZqtW7cyc+ZMTNNk+/btvPfee5x66qn11lNZWUlRUVGtV0jVzKYxfXo+TStWvvIXcqc9AkDSbbcROXy4xRGJiEgwNCoZycvLw+v1kpycXGt/cnIyOTk5dZ4zevRo3njjDS644AKcTicpKSnEx8fzz3/+s956pk2bRlxcXOCVnp7emDAbzx4GEQn+9xrE2ip5CwrYdvPNmG430ccfR6crJlgdkoiIBEmTBrDuPVjQNM16BxCuXr2am266iXvvvZclS5Ywa9YsNm7cyMSJE+u9/uTJkyksLAy8tmzZ0pQwG6dmRk2Jxo20NqZpkjX5btxZWYSlp5P28MMasCoi0o406iliiYmJ2O32fVpBcnNz92ktqTFt2jSOPPJIbr/9dgCGDBlCVFQURx11FA8++CCpqan7nONyuXC19KDEqC6Qt1YtI61Q/ptvUvLttxhOJ93+bzr22FirQxIRkSBqVMuI0+kkIyOD2bNn19o/e/ZsRo8eXec5ZWVl2PZ6hLvdbgf8/8XbakTXzKjR9N7WpHLdOnIf+zvgX9gsfOBAiyMSEZFga3Q3zaRJk3jppZd45ZVXWLNmDbfeeiuZmZmBbpfJkydz2WWXBcqffvrpfPDBBzz33HNs2LCBH374gZtuuonDDz+ctNb0DBFN7211fFVVbPvL7ZiVlUQddRQJl/7R6pBERCQEGtVNA3DBBRewc+dOpk6dSnZ2NoMHD2bmzJn06NEDgOzs7FprjkyYMIHi4mKefvppbrvtNuLj4zn22GN59NFHg/ctgkFLwrc6O56cTuWvv2JPSCDt4Yc0TkREpJ0yzFbVV1K3oqIi4uLiKCwsJDZU4wV+ehU+vQUOPgUueis0dUiDlc6fT+aVVwHQ7dlniTl2nMURiYhIYzX091vPpqlR0zKi2TSW8xYXkzX5bgDiL7pQiYiISDunZKSGumlaje2PPopn+3acPXqQfMcdVocjIiIhpmSkhmbTtAol38+j8L33wTBIffghbBERVockIiIhpmSkRk3LiLsUqkqtjaWD8paUkH3vvQAk/PGPRGZkWByRiIi0BCUjNZzR4Aj3v1dXjSVy//4PPNnZhKWnk3TrLVaHIyIiLUTJSA3D2L0kvLpqWlzpggUUvPMOAKkPPogtMtLiiEREpKUoGdlTVKJ/qxk1LcpXUUH2vfcBkHDxRUSNPNziiEREpCUpGdmTZtRYIu+FF3Bv2YIjOZkuk26zOhwREWlhSkb2FK1kpKVVbtjAzpdeBiD5nruxR0dZHJGIiLQ0JSN7UstIizJNk5z7p4DbTfTYscSccILVIYmIiAWUjOxJyUiLKpoxg7JFizDCw0n+21/17BkRkQ5KycieambTaABryHkLCtj+6GMAJF5/Pc5u3SyOSERErKJkZE8xyf5tyXZr4+gAcqdPx7trF86+feg84XKrwxEREQspGdlTdIp/W6xkJJQq1q6l4H/vApBy770YTqfFEYmIiJWUjOwpurqbprIQ3OXWxtJOmabJ9oengc9HzMknEXW41hQREenolIzsKTxu95LwxTnWxtJOFc+eTdnChRguF8l/+YvV4YiISCugZGRPhgHRGjcSKr7KSnKrB612vupKwrp2tTgiERFpDZSM7C2mZtyIWkaCbddr/8a9bRuO5GQ6X3211eGIiEgroWRkb2oZCQn39lzyXngBgKS/3KYH4YmISICSkb3VtIwoGQmqHf98CrOsjIihQ4k97TSrwxERkVZEycjealpGNL03aCrXraPwgw8BSLrrTq20KiIitSgZ2Vugm0ZjRoIl98np/qm8JxxP5LBhVocjIiKtjJKRvcVo4bNgKlu6lJKvvwabjS633mp1OCIi0gopGdmbWkaCxjRNcv/xOADx556Lq3dviyMSEZHWSMnI3mpaRkrzwOuxNpY2ruTbbylfuhQjPJzEG26wOhwREWmllIzsLTIRDDtgQqme3ttUpsdD7hNPANDp8ssJS06yOCIREWmtlIzszWbb/YwaLXzWZIUzPqFq3XrscXF0vvoqq8MREZFWTMlIXbTwWbOYbjd5zz0HQOc//Ql7TIzFEYmISGumZKQuSkaapfDjj3Fv2YI9MZGEiy+yOhwREWnllIzUJUYLnzWVWVVF3nPPA9D56quwRURYHJGIiLR2SkbqEl2zJLzGjDRWwUcf4d62DXuXRBIuvNDqcEREpA1QMlIXtYw0iVlVRd7z/laRxGuuwRYebnFEIiLSFigZqYtaRpqk4IMP8GRl4+jShfjzz7c6HBERaSOUjNRFS8I3mq+qirznXwD8M2jUKiIiIg2lZKQuMan+bUkO+LzWxtJGFH7wIZ6cHBzJycSf/werwxERkTZEyUhdopPBsIHPA6U7rI6m1TM9Hna+/DIAna+6CpvLZXFEIiLSligZqYvdsXvcSNE2a2NpA4o+n+VfVyQhgfg/nGd1OCIi0sYoGalPbHVXTVG2tXG0cqZpsvPFFwHodNmlWldEREQaTclIfWLT/NuiLGvjaOVK5syh8rffsEVGknDxxVaHIyIibZCSkfrEdvVvi5WM1Mc0TXb+y98qEn/Rhdjj4iyOSERE2iIlI/WpmVGjlpF6lf/0E+XLlmE4nXS6/HKrwxERkTZKyUh9alpGlIzUK++FfwEQd/bZhCUlWRyNiIi0VUpG6qMxI/tVsWYNpfPmgc1G56uutDocERFpw5SM1Cd2j24a07Q2llZo12uvARB70ok4u3e3NhgREWnTlIzUJ6a6ZcRTDuX51sbSyri351I483MAOk2YYG0wIiLS5ikZqU9YOER29r8v1loje8p/801wu4nIyCBiyBCrwxERkTZOycj+aNzIPnxlZRS8/TYAnSZoBo2IiDSfkpH9iVEysrfCjz/GW1hIWHo6Mccea3U4IiLSDigZ2R+1jNRi+nzseu3fAHS67DIMu93iiEREpD1QMrI/gbVG9LA8gJI5c6navBlbTAzx55xtdTgiItJOKBnZn5rpvRrACuyezptwwfnYoqKsDUZERNoNh9UBtGrqpgmoWLOGskWLwG4n4ZJLrA5HRKTVM00Tj8eD1+u1OpSQsdvtOBwODMNo1nWUjOyPumkC8t98E4CY8ScQlppqcTQiIq1bVVUV2dnZlJWVWR1KyEVGRpKamorT6WzyNZSM7E/Nw/IqCqGqFJwds2vCW1hI4SefAtBJrSIiIvvl8/nYuHEjdrudtLQ0nE5ns1sOWiPTNKmqqmLHjh1s3LiRfv36YbM1bfSHkpH9CY8FVxxUFkLhVuhysNURWaLgww8xKypwHXQQERkZVocjItKqVVVV4fP5SE9PJzIy0upwQioiIoKwsDA2b95MVVUV4eHhTbqOBrAeSHy6f1uwxdo4LGL6fOS/9RYACRdf3C6zexGRUGhqK0FbE4zv2THuVHPEVScjhZnWxmGR0h/m496ciS06mrjTT7M6HBERaYealIw8++yz9OrVi/DwcDIyMvj+++/3W76yspJ77rmHHj164HK56NOnD6+88kqTAm5xcd382w7aMlIzcDXu7LM1nVdEREKi0cnIO++8wy233MI999zDsmXLOOqoozj55JPJzKy/5eD888/n66+/5uWXX2bt2rW89dZb9O/fv1mBt5iabprCrdbGYYGqrdsomTMHgISLLrI2GBERCbnc3FyuvfZaunfvjsvlIiUlhRNPPJEFCxaEtN5GD2B94oknuOqqq7j66qsBmD59Ol988QXPPfcc06ZN26f8rFmzmDt3Lhs2bKBTp04A9OzZs3lRt6RAN03HaxkpeOdtME2iRo/C1buX1eGIiEiInXvuubjdbv7973/Tu3dvtm/fztdff82uXbtCWm+jkpGqqiqWLFnCXXfdVWv/+PHjmT9/fp3nzJgxgxEjRvDYY4/x3//+l6ioKM444wweeOABIiIi6jynsrKSysrKwOeioqLGhBlc8d392w7WTeOrrKTg3fcA/8BVERFp3woKCpg3bx5z5sxh7NixAPTo0YPDDz885HU3KhnJy8vD6/WSnJxca39ycjI5OTl1nrNhwwbmzZtHeHg4H374IXl5eVx//fXs2rWr3nEj06ZNY8qUKY0JLXRqxowUZ4HXDfYwa+NpIcVffom3oABHairRxxxjdTgiIm2aaZqUu1t+JdaIMHuDZ0FGR0cTHR3NRx99xBFHHIHL5QpxdLs1aZ2Rvb+YaZr1flmfz4dhGLzxxhvExcUB/q6e8847j2eeeabO1pHJkyczadKkwOeioiLS09ObEmrzRSWB3QneKv+y8Ak9rImjhRX8710A4s87F8Oh5WhERJqj3O1l4L1ftHi9q6eeSKSzYf+GOxwOXnvtNa655hqef/55hg8fztixY7nwwgsZMmRISONs1ADWxMRE7Hb7Pq0gubm5+7SW1EhNTaVr166BRARgwIABmKbJ1q11Dwp1uVzExsbWelnGZtvdOtJBBrFWbtxI2eLFYLMRf845VocjIiIt5NxzzyUrK4sZM2Zw4oknMmfOHIYPH85r1Q9KDZVG/Sev0+kkIyOD2bNnc/bZux8hP3v2bM4888w6zznyyCN59913KSkpITo6GoDffvsNm81Gt27dmhF6C4pLh10bOswg1sL33wcg6qgxeg6NiEgQRITZWT31REvqbazw8HBOOOEETjjhBO69916uvvpq7rvvPiZMmBD8AKs1emrvpEmTeOmll3jllVdYs2YNt956K5mZmUycOBHwd7FcdtllgfIXX3wxnTt35oorrmD16tV899133H777Vx55ZX1DmBtdeI6ziqsZlUVBR9+BEDCH/5gbTAiIu2EYRhEOh0t/grGqtkDBw6ktLQ0CHehfo0eDHDBBRewc+dOpk6dSnZ2NoMHD2bmzJn06OEfS5GdnV1rzZHo6Ghmz57NjTfeyIgRI+jcuTPnn38+Dz74YPC+RajFd5xVWIu/nYN3507sXRKJrh5NLSIi7d/OnTv5wx/+wJVXXsmQIUOIiYnhp59+4rHHHqu39yNYmjQy8frrr+f666+v81hd/Ur9+/dn9uzZTamqdehALSMF71YPXD37HIywjjFzSERE/I0HI0eO5Mknn2T9+vW43W7S09O55ppruPvuu0Nat6ZJNEQHWYXVvW0bpT/8APhn0YiISMfhcrmYNm1anQuYhpoelNcQe86mMU1rYwmhgvc/ANMk8ogjcHbvbnU4IiLSQSgZaYjYboABnnIozbM6mpAwvV4KPvgAgPg/nGdxNCIi0pEoGWkIhxNiUvzv2+kg1tJ58/Dk5GCPjyfmhBOsDkdERDoQJSMNFXhGTftMRgo++BCA2DNOx+Z0WhyNiIh0JEpGGiqhp3+bv8nKKELCW1BAyTffABC/x2J2IiIiLUHJSEMl9PJvd220No4QKPr8c0y3G9fBBxM+YIDV4YiISAejZKSh2nHLSMFHHwEQd9ZZlsYhIiIdk5KRhmqnyUjlho1UrPgZ7HbiTj/N6nBERKQDUjLSUDXJSOFW8LotDSWYCqtbRaLHjMGRmGhtMCIi0iEpGWmo6GRwhIPpbTcrsZpeL4UzZgAQd/ZZ1gYjIiIdlpKRhrLZIN7/MMD20lVTtnAhnpwcbLGxRI8bZ3U4IiJisQkTJmAYxj6vk046KaT16tk0jZHQE/LWtptkpGbgauwpJ2NzuawNRkREWoWTTjqJV199tdY+V4h/I5SMNEan6um9+W1/eq+3pJTi2V8BEK9ZNCIiUs3lcpGSktKidSoZaYx2NKOm+IsvMMvLcfbsSfjQoVaHIyLSvpkmuMtavt6wSDCMlq+3kZSMNEY7SkYCA1fPOgujDfxFFRFp09xl8HBay9d7dxY4oxp1yqeffkp0dHStfXfeeSd/+9vfghlZLUpGGqOdJCPu7dspW7QIgNjTtLaIiIjsNm7cOJ577rla+zp16hTSOpWMNEbNbJqKQijPh4gEa+NpoqKZn4NpEjF8OM5uXa0OR0Sk/QuL9LdSWFFvI0VFRdG3b98QBFM/JSON4Yz0rzdSst3fOtJWk5HPPgMg9rRTLY5ERKSDMIxGd5d0JEpGGiuh5+5kJG2Y1dE0WuXGjVT88gvY7cSGeN64iIi0PZWVleTk5NTa53A4SAzhKt1KRhoroSdsWQi7NlgdSZMUfTYTgKjRo3GEuA9QRETanlmzZpGamlpr38EHH8yvv/4asjq1Amtjda7uR9vZ9pIR0zQp+vRTAOLURSMiInt57bXXME1zn1coExFQMtJ4nfv4tzvXWRtHE1SsWk3Vpk0YLhfRxx1vdTgiIiKAkpHG61SdjOxab20cTVDTKhJ97Djs0RpIJSIirYOSkcaqaRkp3QHlBZaG0him10vRTP94kTitLSIiIq2IkpHGcsVAdPWa/W2odaRs8U94cnOxxcYSddRRVocjIiISoGSkKQKDWNtOMlL0mb+LJvbE8dicToujERER2U3JSFO0sUGsZlUVRV/OBiD2VHXRiIhI66JkpCkCLSNtIxkpmT8fX2Eh9i6JRB42wupwREREalEy0hRtLBkpnvUFALHjT8Sw2y2ORkREpDYlI02x55gR07Q2lgMwq6oo/uYbAGJPOtHiaERERPalZKQpEnqCYYOqEv9zalqx0gUL8BUVYe+SSMTw4VaHIyIisg8lI03hcEJ8d//7Vt5VU1TTRXPCeHXRiIjIfk2YMIGzzjqrxetVMtJUbWB6r1lVRfHXXwMQoy4aERFppZSMNFUbGMRa+uOP/i6axEQiMzKsDkdERKRODqsDaLPaQDJS9PksAGLHq4tGRMRKpmlS7ilv8XojHBEYhtHi9TaWkpGmSuzn3+5Y26TTfaaPn3f8zMq8lews34nD5qBHbA8OSzmMlKiUZoenLhoRkdaj3FPOyDdHtni9Cy9eSGRYZIvX21hKRpqqS3//Nn8jeCrB4WrQaT7Tx4z1M3hhxQtsLdlaZ5lhScOYMGgCx6Qfg81oWk+aumhERKStUDLSVNHJEB4HFYX+rprkQQc8Jb8in9vn3s7CnIUARIVFMTJlJGnRaVR4K/gt/zdW7ljJstxlLMtdxvCk4dw36j56x/dudHiBWTTjT1AXjYiIxSIcESy8eKEl9bYFSkaayjD8rSNbFsKOXw+YjOSU5nDFrCvYWrKVCEcE1w29jgv7X7jPX5QdZTt489c3eWPNGyzNXcp5n5zH3SPv5tx+5za43890u3d30Zx4UtO+n4iIBI1hGG2iu8Qqmk3THF0O9m8PMG5kV8UurvnyGraWbKVrdFfePOVNrhh8RZ0Za5fILtw8/GY+PvNjxnQdg9vnZsqCKdy/4H7cPneDwir98Uf/s2gSE4kcoS4aERFp3ZSMNEfNuJEdv9ZbxOvzMvn7yWwq2kRqVCqvnvgqfRP6HvDSqdGpPHPcM9w8/GZsho0Pfv+ASd9OosJTccBzi2bVzKJRF42IiLR+SkaaowEtI6/88grzs+YTbg/nmeOeITU6tcGXtxk2rj7kap4a9xQuu4s5W+dw/dfX73d6mOnxUPK1/1k0MeM1i0ZERBrutdde46OPPmrxepWMNEdNy8jOdeDdtwtlc9FmnlvxHAD3HHEP/RL6Namaseljef7454kOi2ZxzmImzZmEu476AMqWLMVbUIA9Pl5dNCIi0iYoGWmO2K7gjAafB3ZtqHXINE0e/PFB3D43R3Y9kjP7nNmsqkakjOCZ454h3B7OvG3zuHve3fhM3z7lir/6CoDoceMwHBqfLCIirZ+SkeYwjD26amqPG5m3bR4/Zv+I0+bknsPvCcoKeMOTh/PkuCdx2BzM2jSLp5Y+Veu4aZoUf+1PRmJOOL7Z9YmIiLQEJSPNFRjEunvciGmaPLP8GQAuHnAx6bHpQatuTNcxPHDkAwC8/MvLfLL+k8CxilWr8WRlY0REEDV6dNDqFBERCSUlI81VR8vInC1zWLVzFRGOCK4YfEXQqzyt92lcfcjVANw3/z6W5y4HoPir2QBEjxmDLTw86PWKiIiEgpKR5qqjZeS1Va8BcFH/i+gU3ikk1d447EaOTT8Wt8/NbXNvY1fFrsB4EXXRiIhIW6JkpLlqWkbyfgevh193/crS3KU4DAeXDLgkZNXaDBvTjppGr7he5Jbl8tj7t1C1bj04HESPHRuyekVERIJNyUhzxXX3z6jxVsLOdby55k0Aju9xPEmRSSGtOjIsksfHPk64PRzH90sAiDr8cOxxcSGtV0REJJiUjDSXzQZJAwEo2vYTMzfOBPwDV1tCv4R+3D3ybg77zT/Nd9fIpq1lIiIiYhUlI8FQ/ZC8LzNnU+mtpG98Xw7tcmiLVX9qzCgOyvK/fzBsNsVVxS1Wt4iISHMpGQmGlMEAfFqwBvDPdgnGuiINVfKNf/n3Teku1tpzeWTRIy1Wt4iItB8TJkzAMAwMw8DhcNC9e3euu+468vPzQ1qvkpFgSB7MNoedJZRjYHBq71NbtPqSr74GoOup52AzbMxYP4PZm2e3aAwiItI+nHTSSWRnZ7Np0yZeeuklPvnkE66//vqQ1qlkJBiSBvJ5VBQAh3U5lJSolBar2ltYSOmiRQD0P+syrhx8JQBTF0xlR9mOFotDRETaB5fLRUpKCt26dWP8+PFccMEFfPnllyGts0nJyLPPPkuvXr0IDw8nIyOD77//vkHn/fDDDzgcDg499NCmVNt6hcfyVWw8ACfHD2jRqkvmzgWPB1e/vjh79uT6odfTv1N/CioLuG/+fZim2aLxiIjIvkzTxFdW1uKv5v4GbNiwgVmzZhEWFhakO1G3Rj9J7Z133uGWW27h2Wef5cgjj+SFF17g5JNPZvXq1XTv3r3e8woLC7nssss47rjj2L59e7OCbm22l25nlQMM0+QYn6tF6y6u7qKJPu44AMLsYUwbM43zPz2f77d9z6cbPuX0Pqe3aEwiIlKbWV7O2uEt/yT1g5cuwYiMbNQ5n376KdHR0Xi9XioqKgB44oknQhFeQKNbRp544gmuuuoqrr76agYMGMD06dNJT0/nueee2+951157LRdffDGjRo1qcrCt1ZwtcwAYUllF4s71LVavr7KSknnzAIg5bveqq30T+nLd0OsAeHTxo+SV57VYTCIi0raNGzeO5cuXs3DhQm688UZOPPFEbrzxxpDW2aiWkaqqKpYsWcJdd91Va//48eOZP39+vee9+uqrrF+/ntdff50HH3zwgPVUVlZSWVkZ+FxUVNSYMFvct1u+BWBcWRlsX9Vi9ZYtWoRZVoajSxfCBw2sdWzC4Al8uflLft31K48seoR/jP1Hi8UlIiK1GRERHLx0iSX1NlZUVBR9+/YF4KmnnmLcuHFMmTKFBx54INjhBTSqZSQvLw+v10tycnKt/cnJyeTk5NR5zu+//85dd93FG2+8gcPRsNxn2rRpxMXFBV7p6cF76m2wlVSVsDBnIQDjysohdw14PS1T97f+JCh63DgMW+0/yjBbGFNGT8Fu2Pli0xd8nfl1i8QkIiL7MgwDW2Rki7+CsczEfffdxz/+8Q+ysrKCcCfq1qQBrHt/OdM06/zCXq+Xiy++mClTpnDQQQc1+PqTJ0+msLAw8NqyZUtTwmwRi3MW4/F56B7Tnd44wVMBuzaEvF7TNCn+dg4A0eOOqbPMwM4DmTBoAgAP/vgghZWFIY9LRETal2OOOYZBgwbx8MMPh6yORiUjiYmJ2O32fVpBcnNz92ktASguLuann37ihhtuwOFw4HA4mDp1KitWrMDhcPBN9WJde3O5XMTGxtZ6tVY/Zv8IwKi0UYGVWMn5OeT1Vq5diyc7GyM8nKj9jMO57tDr6Bnbk7zyPB7/6fGQxyUiIu3PpEmTePHFF0PWONCoZMTpdJKRkcHs2bUX1Jo9ezajR4/ep3xsbCwrV65k+fLlgdfEiRM5+OCDWb58OSNHjmxe9K1ATTIyMnUkpA7178xaFvJ6a7pookaNwhYeXm85l93FlNFTMDD4cN2HLMpeFPLYRESkbXrttdf46KOP9tl/8cUXU1lZGbJhE42e2jtp0iQuvfRSRowYwahRo/jXv/5FZmYmEydOBPxdLNu2beM///kPNpuNwYMH1zo/KSmJ8PDwffa3RblluWwo3ICBweEph8Ou6inL2StCXnfxN9XjRY4dd8Cyw5OHc/7B5/PO2nd44McHeP+M93HanaEOUUREpEEanYxccMEF7Ny5k6lTp5Kdnc3gwYOZOXMmPXr0ACA7O5vMzMygB9oaLcz2D1wd2Hkgca44SD3UfyBrOfh8/if6hoA7N5eKlSsBiB47tkHn3DT8Jr7a/BWbijbxyi+vMHHoxJDEJiIi0lhN+rW8/vrr2bRpE5WVlSxZsoSjjz46cOy1115jzpw59Z57//33s3z58qZU2+rUdNEckXqEf0eX/uAIh6rikA5iLZk7F4DwQw4hLCmpQefEOmO547A7AHjx5xfZXLQ5ZPGJiIg0hp5N0wxLtvvnjB+ecrh/h90BydXdT9nLQ1ZvyQFm0dTn5F4nMyp1FFW+Kh768SEtFS8iIq2CkpEmyi3LZVvJNmyGjaFJQ3cfSBvm34ZoEKuvooLS6gXmYo49tlHnGobBX4/4K06bkwXZC/h84+ehCFFERKRRlIw00fLc5QAclHAQUWFRuw+kHerfZi0PSb2lCxZgVlTgSE3FdfDBjT6/e2x3rhlyDQCPLX6MoqrWvbqtiEhb5fP5rA6hRQTjezZ6AKv4Lcv1t3wM7TK09oGaQazZK0IyiLWmiyZm3DFNXlnvysFX8tmGz9hUtImnlj7FX4/4a/ACFBHp4JxOJzabjaysLLp06YLT6QzKSqitjWmaVFVVsWPHDmw2G05n02dpKhlpohU7/NN3D006tPaBvQexJvYNWp2maVJSPTg4etyBp/TWx2l3cu+oe7nyiyv539r/cUafMxjSZUiQohQR6dhsNhu9evUiOzs7pEuotxaRkZF0794dWzP+41vJSBNUeCpYs3MNAMOShtU+aHdAyiGwdbF/3EgQk5GKVavx5OZii4wkspkLxh2Wchhn9DmDGetnMHXBVN4+7W0cNv11EBEJBqfTSffu3fF4PHi9XqvDCRm73Y7D4Wh2y49+fZrgl7xf8JgeukR0IS0qbd8CqYfuTkaG/CFo9QZWXT3ySGzNaA6rcduI25i7dS5r89fy5po3uWzQZc2+poiI+BmGQVhYGGFhYVaH0uppAGsT/Jznf/bM0C5D684Guw73b7cF93HRxd/6n+XTnC6aPXUK78SkjEkAPL38aXJK637ysoiISCgpGWmC1TtXAzA4sZ4l7btVrzuStQw8VUGp052TQ+XqNWAYRI89+sAnNNBZfc/i0C6HUu4p59FFjwbtuiIiIg2lZKQJapKRAZ0H1F2gcx+ISABvJeSsDEqdJXP8q65GDB2Ko3PnoFwTwGbY+Nuov2E37HyV+RVzt8wN2rVFREQaQslIIxVVFbGl2P8I5YGdBtZdyDCg22H+91sXB6Xeku++A4LXRbOngxIO4rKB/vEiDy98mHJPedDrEBERqY+SkUb6deevAHSN7kp8eHz9BWu6arYuanadvqoqShcsAAhqF82eJg6dSGpUKlmlWbyw4oWQ1CEiIlIXJSONtGaXf0rvgE71dNHUSK9uGdnS/JaRssWLMcvLcSQlNWnV1YaIDItk8uGTAfj3qn+zLn9dSOoRERHZm5KRRlq1cxUAAzvX00VTo2sGYEBhJhQ3b5ZKaU0XzdijQ7qK37ju4xiXPg6P6eGBHx/Qg/RERKRFKBlppJrFzg6YjLhiIKm6TDPHjZTM9ScjUUeHpotmT5MPn0yEI4KluUv5eP3HIa9PREREyUgjlLpL2VS0CdjPTJo9Bbpqmj5upGrzZqo2bYKwMKJGjWrydRoqNTqV64deD8DjPz1OQUVByOsUEZGOTclII/ye/zsASRFJdArvdOATAoNYf2pynSXffQ9AZEYG9ujoJl+nMS4ZeAl94/tSUFnAk0ufbJE6RUSk41Iy0gjrCvyDOvsl9GvYCTXTe7OWNnnxs8CU3hbooqkRZgvj3lH3AvDB7x+wdPvSFqtbREQ6HiUjjVCTjPSNb+DD7xL7QWQieCr8CUkj+crLKVu4EAjdlN76DEsaxrn9zgXggR8fwO1zt2j9IiLScSgZaYSa6a59ExqYjBgG9Bjtf7/5h0bXV7pwIWZVFWFdu+Ls3bvR5zfXLcNvIcGVwLqCdfx39X9bvH4REekYlIw0wu8F/jEj/eIb2E0D0ONI/3ZT45ORkrn+pdlDPaW3PvHh8dw24jYAnl/xPFklWS0eg4iItH9KRhpoZ/lOdlXswsCgd3wjWil6VicjWxaC19Pg00zTpLQFp/TW54w+ZzAieQTlnnKmLZpmWRwiItJ+KRlpoPUF6wFIj0knwhHR8BOTBkJ4HFSVQM6KBp9WtX497qwsDKeTqJEjGxtu0BiGwd+O+BsOm4M5W+bwTeY3lsUiIiLtk5KRBqrpomnw4NUaNjt0rx430oiumpqFziJHjsQW0YjkJwR6x/fmikFXADBt0TTK3GWWxiMiIu2LkpEGqlljpMGDV/cUGMQ6v8GnWDGld3+uGXINXaO7klOaw3MrnrM6HBERaUeUjDRQYI2RxgxerVEzbiRzPvi8ByzuLSmhbMkSAKKPPqrx9YVAhCOCu0feDcB/V/+XtbvWWhyRiIi0F0pGGsA0TTYWbgSgV1yvxl8gZSg4o6GiEHJXH7B46fz54PHg7NkTZ48eja8vRI7udjQn9DgBr+nlgR8fwGf6rA5JRETaASUjDVBQWUBRVREAPWKbkBzYHZBePQh143cHLF6yx1N6W5s7DruDSEckK3as4IPfP7A6HBERaQeUjDRAzcPxUqNSCXeEN+0ivY/xb9d/u99irWVKb31SolK4YdgNADy55El2lu+0OCIREWnrlIw0wKbCTQD0jO3Z9Iv0Geffbv4BPJX1Fqv89Vc8O3ZgREQQedhhTa8vhC7qfxH9O/WnqKqIRxY9YnU4IiLSxikZaYCalpEmddHUSBoEUV3AXQZbFtVbrGZKb9SoUdiczqbXF0IOm4Mpo6dgN+zM2jRLa4+IiEizKBlpgM1FmwHoGdez6Rex2XZ31Wyov6umtU3prc/AzgOZMGgCAA/++GBgTI2IiEhjKRlpgKB00wD0ru6qqWfciLeggPLly4HWM6V3fyYOnUjP2J7sKN/BPxb/w+pwRESkjVIycgBen5fM4kygmS0jsHvcSNYyKNu1z+GSH34Anw9Xv36EpaU1r64WEO4IZ8roKRgYfLjuQ+ZnNXxRNxERkRpKRg4gqzQLt8+N0+YkJTKleReLTYPEgwGzzim+pa14Sm99hicP58L+FwIwZf4ULRUvIiKNpmTkAGrGi3SP7Y7dZm/+BWtaR/YaN2L6fJR89z3QOqf07s8tw28hNSqVrNIsnlr2lNXhiIhIG6Nk5AACg1ebO16kRp9j/dt1X4NpBnZX/PIL3vx8bNHRRA4bFpy6WkhkWCT3j7ofgDfXvMmy3GXWBiQiIm2KkpEDqBm82qxpvXvqeRQ4wqFwS62l4QNTeo88EiMsLDh1taDRXUdzZp8zMTG594d7qfBUWB2SiIi0EUpGDmBryVYA0mPSg3NBZyT0Gut//9uswO62MqV3f24/7HYSIxLZVLSJ/1v6f1aHIyIibYSSkQPYWuxPRrrFdAveRQ860b/97QsAPHl5VKxcCUDUUWOCV08Li3PFMWX0FABeX/M6i3MWWxyRiIi0BUpG9sNn+thWsg0IUTKyZRGU7qRk3jwAwgcOJCwpKXj1WODobkdzbr9zAfjrvL9SUlVicUQiItLaKRnZjx1lO3D73NgNO8mRycG7cFw3SDkEMGHd7MCU3qg2NKV3f24/7Ha6RnclqzSLxxY/ZnU4IiLSyikZ2Y+a8SKpUak4bI7gXvygkwAwV8+kZN4PAEQf1T6SkaiwKB4a81BgMbQ5W+ZYHZKIiLRiSkb2IyTjRWpUJyPlC+fiKyrCHhdHxNAhwa/HIhnJGVw+6HIA7p9/P/kV+RZHJCIirZWSkf2oaRnpGt01+BdPGw5RXSjJ9AIQNWYMhj0Ii6q1IjcMu4G+8X3ZWbGTB358AHOPdVVERERqKBnZj23FIRi8WsNmg4NPoSQrHGhbS8A3lMvu4uExD+MwHMzePJuP139sdUgiItIKKRnZj5qWkZAkI4A7eSyVBWGASdToUSGpw2oDOg/gz8P+DMDDCx8OLCInIiJSQ8nIftSMGUmPDtKCZ3spre6iCe/kxlGyNiR1tAZXDLqCw1MOp9xTzh3f3YHb67Y6JBERaUWUjNSjwlPBjvIdQIjGjAAl31fPokmthNXttwvDbrPz8JiHiXfFs2bXGq3OKiIitSgZqUdWSRYA0WHRxLnign590+2mdP58fx1pFbB6Bvh8Qa+ntUiOSuaBIx8A4N+r/828bfMsjkhERFoLJSP12HO8iGEYQb9+2bJl+EpKsHdKIDw1EkpyYOuioNfTmhyTfgwX9b8IgHvm3UNeeZ7FEYmISGugZKQeNS0jqVGpIbl+6fffA9VTevv71xxh1Uchqas1uW3EbfRL6Meuil38dd5f8ZnttzVIREQaRslIPXJKc4DQJSMlc2ue0jsWBp7l37nqQ/B5Q1Jfa+Gyu/j70X8n3B7OD1k/8OLPL1odkoiIWEzJSD2yS7OB0CQj7uxsKn/7DWw2oo4cDX2Ph4hO/q6aDXOCXl9r0ye+D3ePvBuAZ5Y/w4KsBRZHJCIiVlIyUo+alpGUqJSgX7ukuosmYsgQHAkJ4HDC4HP8B3/+X9Dra43O7nc25/Q7BxOTO7+7M3C/RUSk41EyUo+QJiPVT+mtterqkAv82zWfQFVp0OtsjSYfPpn+nfqTX5nPX+b+ReuPiIh0UEpG6uD1ecktywWCn4yYVVWUzfd3S0Tt+ZTebodBQi9wl8KvnwW1ztYq3BHOE8c8QUxYDCt2rODxJY9bHZKIiFigScnIs88+S69evQgPDycjI4Pvq7sd6vLBBx9wwgkn0KVLF2JjYxk1ahRffPFFkwNuCXnleXhMD3bDTpeILkG9dtnSpfjKyrAnJhI+cMDuA4axu3VkxdtBrbM1S49J56ExDwHwxpo3mLVxlsURiYhIS2t0MvLOO+9wyy23cM8997Bs2TKOOuooTj75ZDIzM+ss/91333HCCScwc+ZMlixZwrhx4zj99NNZtmxZs4MPlZrBq0mRSdhtwX2SbmAWzZgxGLa9bv+Q8/3bDd9CcccZQzGu+ziuHHwlAPfOv5dfd/1qcUQiItKSGp2MPPHEE1x11VVcffXVDBgwgOnTp5Oens5zzz1XZ/np06dzxx13cNhhh9GvXz8efvhh+vXrxyeffNLs4EMlpyx003pLvq9jvEiNzn0gfSSYPlj+RtDrbs1uHHYjo1JHUe4p56ZvbmJn+U6rQxIRkRbSqGSkqqqKJUuWMH78+Fr7x48fz/zqpc0PxOfzUVxcTKdOneotU1lZSVFRUa1XS8op8ScjyVHJQb2ue9s2qtat90/pHT267kIZE/zbJf9u18vD781hc/D3sX+ne0x3skuzmTRnkga0ioh0EI1KRvLy8vB6vSQn1/6RTk5OJienYd0Kjz/+OKWlpZx//vn1lpk2bRpxcXGBV3p6aJ6aW59QtYwEpvQOG4Y9rp7n3Qw8C1xxULAZNs4Jav2tXZwrjn8e+0+iwqJYmruUhxc9jGmaVoclIiIh1qQBrHs/q8U0zQY9v+Wtt97i/vvv55133iEpKanecpMnT6awsDDw2rJlS1PCbLLsktAseLZ71dU6umhqOCN3jx1Z8lpQ628Lesf35rGjH8PA4L3f3uOdte9YHZKIiIRYo5KRxMRE7Hb7Pq0gubm5+7SW7O2dd97hqquu4n//+x/HH3/8fsu6XC5iY2NrvVpSTctIMKf1+iorKf3xRwCijz5q/4UzLvdvf/0MSnKDFkNbcXS3o7l5+M0APLLoEa3QKiLSzjUqGXE6nWRkZDB79uxa+2fPns3o+sZA4G8RmTBhAm+++Sannnpq0yJtQaF4Lk3ZTz9hlpfj6NIFV//++y+ccgh0HQE+T4cbyFrjysFXcmrvU/GaXm6dcytrd621OiQREQmRRnfTTJo0iZdeeolXXnmFNWvWcOutt5KZmcnEiRMBfxfLZZddFij/1ltvcdlll/H4449zxBFHkJOTQ05ODoWFhcH7FkFU4algV8UuILgtI6XVq65GHX1Ug7q0AgNZF78CXk/Q4mgrDMNg6uipjEgeQam7lOu/vl5LxouItFONTkYuuOACpk+fztSpUzn00EP57rvvmDlzJj169AAgOzu71pojL7zwAh6Phz//+c+kpqYGXjfffHPwvkUQbS/bDkCEI4JYZ/C6h0q+8w9ejT56bMNOOOQ8/8PzCjNhbcdYkXVvTruT6eOm0zuuN7llufz56z9TUlVidVgiIhJkhtkGpisUFRURFxdHYWFhyMePLM5ZzJVfXEnP2J58cnZw1kKpysxk/fgTweHgoAXzscfENOzErx+A7/8B3UfBlR13ZdJtJdu45LNL2Fmxk1Gpo3jm+GcIs4VZHZaIiBxAQ3+/9Wyavewo2wFAl8jgLQNf8u23AESOGNHwRATgsKvBFgaZC2Db0qDF09Z0je7KM8c/Q4QjggXZC7h//v34zI6zBouISHunZGQvO8qrk5EgPpOmeM4cAKKPaWAXTY3YVBh8jv/9wueDFk9bNKjzIP4x9h/YDTsz1s/g74v/rjVIRETaCSUje6l5Wm9SZP3roDSGt6SEssU/ARBzzDGNv8AR1/m3v7wPRVlBiamtOrrb0Uw9cioAr695ned/7tgJmohIe6FkZC+BbpogtYyUzpsHHg/OXr1w9uzZ+AukDYMeR/qn+c5/OigxtWVn9DmDuw6/C4Bnlz/L66tftzgiERFpLiUje8ktD27LSMm3cwCIbkqrSI2jJvm3S16F0rxmx9TWXTLgEv586J8BeHTxo3y07iNrAxIRkWZRMrKXYA5gNb1eSqrXF2lWMtLnOH8LibsMfny22XG1B9cOuZbLBvrXs7lv/n18vvFziyMSEZGmUjKyB9M0gzqAtXzFz3jz87HFxhI5fFjTL2QYcPTt/vcL/wXl+c2Ora0zDIO/jPgL5/Y7F5/p467v72LmhplWhyUiIk2gZGQPJe4Syj3lACRGJDb/ejWzaMaMwQhr5roYB50MSQOhqtifkAiGYXDvqHs5u+/Z+Ewfk+dN5rMNHXOBOBGRtkzJyB5qWkViwmKIDIts9vVq1heJHndMs6+FzQZH3eZ//+Mzah2pZjNs3D/6/kALyd3z7ubTDZ9aHZaIiDSCkpE9BHO8SNXWbVT+/jvYbEQfdYCn9DbUoLMhaRBUFMK8J4NzzXbAZti4d9S9gYTknnn3MGP9DKvDEhGRBlIysoeaNUaCkYyUzJ0DQMTwYdjj45t9PQBsdjjuXv/7hS9A4bbgXLcdqElIzjvovEBC8saajvnEYxGRtkbJyB5qummSIpo/rbdmSm/MuHHNvlYtB53of1aNpwLmPhrca7dxNsPG3474G38c8EcAHln0CM8uf1YrtYqItHJKRvYQrG4aX2kpZQsXAs2c0lsXw4Dj7/e/X/Y67PgtuNdv42yGjTsOuyOwDslzK55j2qJpepaNiEgrpmRkD8FaCr5k/nxMt5uw9HScvXsHI7Tauh8BB58Cphe+uBv0X/61GIbBxKETuWfkPRgYvPXrW0z+fjJur9vq0EREpA5KRvYQrDVGSr7+BvDPojEMo7lh1e2EB/xP9F03G36bFZo62rgL+1/II0c9gsNwMHPjTK796loKKwutDktERPaiZGQPwWgZMT2ewJTemOOOD0pcdUrsC6P8XRHMugvcFaGrqw07pfcpPHPcM0SFRbE4ZzF/nPlHMosyrQ5LRET2oGSkmmmagTEjzVnwrOynJXgLC7HHxxOZMTxY4dXt6NshJhXyN8GCf4a2rjZsdNfR/Ofk/5Aalcqmok1cMvMSlm5fanVYIiJSTclItRJ3CVW+KgA6R3Ru8nWKv/oKgOhx4zAcjqDEVi9XtL+7BuC7x2HXxtDW14YdlHAQb5zyBoM6D6KgsoCrv7yaT9Z/YnVYIiKCkpGAneU7AYh0RBLhiGjSNUzTpPjrrwGIOSGEXTR7OuQ86HkUeMrhk5s0mHU/ukR24ZUTX+G47sfh9rm5e97dPLLoEdw+DWwVEbGSkpFqOyv8yUhzWkUqVq3Gk52NERFB1OjRwQpt/wwDzngKHBGw8TtY+u+WqbeNigyL5PGxj/OnIX8C4I01b3DNl9eQV55ncWQiIh2XkpFqNS0jncOb0UXzdXUXzZgx2MLDgxJXg3TqDcf+1f/+y79pZdYDsNvs3DjsRqaPm05UWBRLti/hgk8v4OcdP1sdmohIh6RkpFowWkZKqseLtFgXzZ6OuA66joDKIn93jU+LfB3Icd2P481T36RXXC9yy3K5fNbl/Hf1f7Viq4hIC1MyUq25LSNVmzZR+fs6cDiIHjs2mKE1jM0OZz4DjnBY9xUsfL7lY2iDesf15q1T3+KEHifg8Xl4bPFj3PDNDeyq2GV1aCIiHYaSkWrNbRmpGbgadfhh2OPighZXoyT1h/EP+t9/dR9kq9uhIaLConh87OPcM/IenDYn3239jvNmnMei7EVWhyYi0iEoGam2q9z/X8JNbRkpnl09XuS444IWU5McdrV/qXhvFbx/FVSVWhtPG2EYBhf2v5A3T32T3nG92VG+g6u/vJrpS6ZT5a2yOjwRkXatQycjizbu4uPl25izNpdtxf7VV5vSMuLOzqZ8+XIAYo63YLzIngwDznjavxha3m/wyS2a7tsIB3c6mLdOfYtz+p2DicnLv7zMBZ9ewKqdq6wOTUSk3erQycibCzdz89vLmfDqYtbkZgHw/DfbeXtRJoXlDV97ouiLLwCIyMggLDk5JLE2SlRnOPclMOyw8n/w43NWR9SmRIZFMmX0FJ485kk6hXdiXcE6LvnsEp5Z/oweticiEgIdOhnpmxTNqN6dGZAai+EoAWDJBg93fbCSIx7+mr9+tJKNeQfu5ij+3P+gutiTTw5pvI3Scwyc+LD//Zd/9a9BIo1yfI/j+fDMDxnfYzxe08vzK57nos8uYlWeWklERILJMNvAPMaioiLi4uIoLCwkNjY26Ncvc5cx8s2RAFzR9XVmrSzgt+3+5MRuM/hDRjduPr4fqXH7rszq3raNdccdD4ZB37lzCEtq+kP2gs404aPrYMVbENEJrv4KOvexOqo2adamWTz040MUVBZg4B9fcuOwG4lxxlgdmohIq9XQ3+8O3TJSo2Ymjcvu4tbjhvDFLUfz5jUjGXdwF7w+k7cXb2Hs3+fwxOzfqHB7a51bNMvfRRN52GGtKxEB//iR056EtGFQvgtePxdKdlgdVZt0Us+T+PDMDzm196mYmLz161uc8dEZfL7xc61LIiLSTEpGqL3GiGEYGIbB6D6JvHrF4bw3cRSH9UygyuPjqa9/58Tp3zFnbW7g3KJZNV00J1kS+wGFRcBF70B8d8jfCG+erxk2TZQYkcgjRz3Ci+NfpGdsT/LK87jjuzv40+w/sS5/ndXhiYi0WUpG2P8aIyN6duJ/147imYuHkxzrYvPOMia8upg/v7mU7b+up2LlSrDZiDnhhJYOu+FikuGPH/i7arKWwv8uB4+mqzbVEalH8P4Z7/PnQ/+M0+bkx+wfOfeTc3lgwQOBxFZERBpOyQgHXn3VMAxOHZLK17cdw9VjemG3GXz2czbP3P8CAJGHH44jMbHF4m2SxH5w8f/8D9RbNxvenaCEpBmcdicTh07kozM/4vjux+Mzffzvt/9x6oen8tLKl6j0VlodoohIm6FkhIavvhrtcvDX0wby8Z+PZEBqLIdvWALAR/ED2F5UEfI4my39MLjoTbC7YO1n8N4VoKmqzZIem86T457k1RNfZWDngZS6S/m/pf/HaR+exvu/vY/bp/srInIgSkbY3TLSKbxTg8oP7hrHu8d3pk9RFm6bnRdtvTjhibm8+9OW1j+Ysc+xuxOSXz/1t5C420Ai1cqNSBnBW6e+xcNjHiYpMomc0hzuX3A/Z3x4BjPWz8Dr8x74IiIiHZSSEQg8FK0xq6+WfvopAGFjxtK7dypFFR5uf+9nJry6mG0F5SGJM2j6Hg8XvgF2pz8hef0cKC+wOqo2z2bYOL3P6Xx29mfcPuJ2OoV3YmvJVu6Zdw9nfXwWMzfMxOPzWB2miEiro2SEPcaMNDAZMT0eCj/9BIBuF57LB9eN5q6T++N02Jj72w5OfPI7/j1/E15fK24l6XcC/PF9cMXC5h/g1VOgKNvqqNqFcEc4lw26jM/P+ZxbM24l3hXPpqJN3Pn9nZz+4em8/evbVHjUGiUiUkPJCLtbRjq5GtZNU7pgAd4dedjj44keMwaH3cbEsX2YedNRZPRIoKTSw30zVnHOc/NZnVUUytCbp9fRMOEziE6G3FXw0nGwbanVUbUbkWGRXDn4Sj4/53NuOPQGElwJbC3ZykMLH+LE90/k+RXPU1hZaHWYIiKWUzICFFQWAJAQntCg8oUfzwAg9tRTMZzOwP6+SdH879pRPHDmIGJcDlZsKeD0p+cxbeYayqpaafN86hC46kvo3A+KtsGrJ8OKd6yOql2JdkZz7dBr+eK8L7h75N10je7KropdPLP8GU547wSmLJjC2l1rrQ5TRMQyHX45eK/Py7D/DsPE5NvzvyUxYv9TdL0lJfw+5ijMigp6vvs/Ig45pM5y24sqmPrJaj5b6e/66JYQwd9OG8j4gckYhhHU7xAUFYXw/jXwu39FWUZeBydMAYfL2rjaIY/Pw5ebvuTVVa/y665fA/uHJw3nwv4Xcnz34wmzh1kYoYhIcDT097vDJyP5Ffkc/c7RACy9dClhtv3/COS/9RY5U6bi7NOH3p9+csDE4us127n341WBQa2jenfmr6cNYFBaXHC+QDD5fPDtQ/D9P/yfUw6Bc1+GLgdbG1c7ZZomP23/ibd/fZtvMr/BY/pbzzqHd+asvmdxRt8z6B3X2+IoRUSaTslIA20o3MCZH51JjDOG+RfN329Z0zTZePY5VP76K8mT76LT5Zc3qI7SSg/PzlnHi99vpMrjwzDgDxnd+Mv4g0mKDQ/G1wiutZ/DR9f7n2fjiIATH4SMK8GmXr1QyS3L5b3f3uO9395jR/nu5wcN6TKEM/ucyUm9TiLWGfyHRIqIhJKSkQZaun0pl8+6nO4x3fnsnM/2W7Z8xQo2XXAhhtNJv+/mYo+Pb1RdW/PLeHTWWj5ZkQVAeJiNP47swbVj+9AlppV1hxRlw0cTYcMc/+ceR8Jp06HLQVZG1e65fW7mbJnDx+s+Zt62eXhN//okTpuTY7sfy0m9TmJM1zG47K3s74uISB2UjDTQ15u/5pY5tzCkyxDeOOWN/ZbNuvseCj/4gLgzzyDt0UebXOeSzfk8+NlqlmUWABARZueyUT3409G96Rzdin5kfD5Y+Dx88wC4y/zrkhx9O4y+CcJaYYtOO5NXnsdnGz7jo3Ufsa5g94P4osKiGNttLON7jldiIiKtmpKRBnrvt/eYsmAKY7uN5enjnq63nLeoiN+PHotZUUGPN98kcviwZtVrmiZz1u7gya9+4+et/umd4WE2zhnejSuP7EXfpOhmXT+o8jfDZ5Ng3Vf+z3Hd4fj7YPC50BoH47YzpmmyetdqPtvwGbM3zyanNCdwLCosiqO7Hc249HGMThtNnKsVjkUSkQ5LyUgDvbTyJf5v6f9xVt+zeODIB+ott/OVV8l97DFc/frRa8bHQZsRY5om3/yay/Svfmfltt1rThzbP4krj+zF6D6dsdlawQ++acIv78OXf4NifzcTXTPg+CnQ6yhrY+tAfKaPn3f8zJebv+TLTV+yvWx74JjdsHNo0qGM7TaWsd3G0iuuV+ucuSUiHYaSkQb6++K/85/V/+GKQVcwacSkOsuYbjfrThiPJyeH1AcfIP6884IaA/iTkh837OLleRv5+tft1PyppHeK4A8Z6ZyX0Y20+Iig19toVWWw4BmY9yS4S/37uo+GsbdD73FqKWlBNYnJt1u+5but39XqygHoGt2VUWmjGJkyksNSDmvU4w5ERIJByUgD3TPvHmasn8GtGbdy5eAr6yxT+MmnZN1+O/bERPp+/RU2V2j76DfmlfLqDxv5cOk2iiv90z0NA8b0TeT0oWmMH5hMfKTzAFcJseLt8N1jsPQ/4K3y7+s6Akb9GQacDlono8VtLd7Kd1u/47ut37EoZ9E+Twzul9CPkSkjGZk6kozkDGKcMRZFKiIdhZKRBrruq+uYt20eU0dP5ex+Z+9z3DRNNp57LpWr19DllptJnDgxqPXvT3mVl89/yeZ/P23hxw27AvsdNoMj+yZyyiEpHDcgmUQrB70WZcEPT8GSV6HmeSsxqTDiShh+OcQkWxdbB1bmLmNxzmIW5ixkYfZCfsv/rdZxA4M+8X04NOlQDu1yKIcmHUr3mO7q1hGRoFIy0kAXfXoRv+z8hX8e+0+OST9mn+Ml33/Plmv+hBEeTt9vv8GR0LAl44NtU14pHy/P4vNfsvk1p7jWsUO6xnH0QYmMPSiJYd3jCbNbsB5ISS4sehGWvAaluf59Ngf0PQGGXgAHnawZOBbaVbGLRTmLWJS9iIXZC8ksztynTIIrgaFJQxmSOIQBnQcwoNMAde2ISLMoGWmgk94/iW0l2/jvyf/l0KRDax0zTZNNfzifil9+odOECSTfdWdQ626q9TtK+HxlNp//ksOqvR7EF+1ykNEjgcN6JpDRoxOHpscT4bS3XHCeKlgzAxa+AFsX7d7vioNBZ8KAM/wP6NMy85bKK89jxY4VrMhdwfIdy1mVt4oqX9U+5ZIikxjYaWAgORnQeQDJka30kQYi0uooGWmgI948glJ3KZ+e/Sk9YnvUOlb89dds/fMNGJGR9P1qNo5ODXuqb0vKLa7g+9/ymPvbDr7/fQf5ZbXHCThsBoO6xnFI11gGpcUxKC2Wg5JjCA9rgQRlx1pY8Tb8/D8o2rp7vzMa+h4P/U/1byNb333taKq8Vfy661eW5S5j9c7VrNm1hk2FmzDZ95+HqLAo+sT1oU/87lff+L5KUkRkH0pGGqDKW0XG6xkAzLtwXq01Gky3m43nnEPl7+vofO21JN16S9DqDRWvz2RNdhE/bdrF4s35/LRpF9uLKvcp57AZ9E2KZkBqLL0To+iTFE3vLlH07BwVmiTF54PN8+CXD/xLzZfk7HHQgJTB0Gus/9VjFLg0sLI1KHOXsTZ/rT852bmGNbvWsL5gfWBV2L1FhUXRO6433WO70z2mO+kx6YH38a54JSoiHZCSkQbILcvluHePw27YWXbpslr/WO587TVyH3kUe3w8fb6YhT2u7S0mZZomW/PLWZqZz6qsIlZlFbIqq4iCvVpPahiG/+nCvRKj6RofQbcE/6trfARdEyJIignH3tw1T3w+yFoGaz/zJya5q/cKwu5PTrqOgG4j/NvOffVcnFbC7XWzqWgT6wvXs75g9yuzKDPwoL+6xITFkB6bTveY7qRFp5EalUpqVCopUSmkRKUQ64xVsiLSDikZaYC1u9Zy3ifn0Tm8M3MumBPY796ey4ZTTsFXWkrKA1NJ+MMfglan1UzTJKuwglXbCvk9t4T1O0rYsKOU9TtKKK6o/8cEIMxukBwbTpcYF12iXf5tjIvEPd9HuYiLDCPG5WjYYm0lubDxO9g417/N37RvGVec/wnCyQMhqeY1AML14LjWoiZJ2Vi4kS3FW9hSvIXM4kwyizJrLcxWn0hHJClRKYEEJTkqmS4RXUiMSAy8Ood3JkxTxkXalIb+fjtaMKZWJ78yH4CE8N0zZEyfj+y778ZXWkr4kCHEn3uuVeGFhGEY/paO+AjGD9q93zRN8kqq2LCjhM07y9haUM62/HK2FZSxNb+cnMIK3F5/S8vW/PID1mMzIC4izP+KdBIXEUZ8RBjxkf590S4HUS4H0S4Hkc4xRA88hqhhDuKqcojbtYLI3OU4c5ZiZK+AykJ/N8/mebUriUuHzn0goRd06g2dqrcJPcEZFdwbJ/sVZg+jX0I/+iX02+dYhaeCrcVbAwlKdmk22SXZZJdms71sO7sqdlHmKWND4QY2FG7Ybz3xrnh/YhLR2Z+khCeSEJ5AvCueeFc8ca44//tw//swm5IXkbagScnIs88+y9///neys7MZNGgQ06dP56ij6l8SfO7cuUyaNIlVq1aRlpbGHXfcwcQWXK+jPgUVBYD/H7gau155hdIffsBwuUib9jBGB+keMAwj0Loxsve+0zm9PpPtRRVkF1aQV1LJjuLqV/X7vD22FW4fPhPyy9z+AbU7yxoZTTQwBhhDdJiPwWHZDLRlcrCxhd5mJr18m0n07YTCLf4Xc/a5QllYAmWuJMrDk6mISKYiIoWqyGSqolLwRibjjUiEiHgcYU7C7DYcdoMwW/XWbiPMbuCw2wizGYHjdpuBzfBv7YbROpbpbwPCHeH0TehL34S+dR6v8FSQU5pDTlkO2SXZ5JTmsL1sOzvLd7KjfAd55XnsLN+Jx/RQUFlAQWXBPqvN1icqLCqQqMS74ol1xRITFkO0M5oYZwxRYVFEh+1+H+OMqfXZYevQ/70m0mIa/f+0d955h1tuuYVnn32WI488khdeeIGTTz6Z1atX0717933Kb9y4kVNOOYVrrrmG119/nR9++IHrr7+eLl26cK7FrQ57t4wUff45uY8/AUDy5Ltw9eljWWytjd1mkBYf0aAl6SvcXorK3RSWuykod1NQVv2+rKp666ak0kNppYfSKg+llV5KKz2UVXkD+z0+f+9hidvGj+6u/EhXYFSgjjhK6GdspadtO92N7fQ0/NteRg5xRhmR7nwi3flQsna/seab0ewyY8gnhmwzhl1mDLuIpciMpISIwLbYjKSYmn0RlBCJD9seiQmBBGXPZMVenbzUOm7UTmz8+wjsMwxqbcGfLNoMMNh9DKr3Gf5FzGw2/9Yw/OX9ZavfG7uP2fYoz977qsuzRz0GYLP5r0d1/mWwOxEzAvv2/lx/mT0fG7D7vE5AJwwGkwB0MqBfBBABmD4qfaWUm/mUeQso9xVQ5s2n3FtAua+ISm8xFWYxFd5iKn3FVPhKAJNSdyml7lK2lWzb79+D+jgMFy5bFGE2F2FGOGE2Fw7DhdMWTpgtPLAvLPDZtUdZ/8thOHEYYdiNMOyGE4fhxG5z+LdGGDbsdY6XCWmqG6LxOaGMOVRDiowQRh26mENjVJ/O9OhsTatyo8eMjBw5kuHDh/Pcc88F9g0YMICzzjqLadOm7VP+zjvvZMaMGaxZsyawb+LEiaxYsYIFCxY0qM5QjRl5bvlzPLviWc7vex7X/9aD3L//HXw+Ei65hOS/3qMBdRYxTZMqr69WklLh9lLp8R1wW+n2YqsoILwsm4iKHKKrdhBblUucJ484Tx4Jnh3Ee3cRYxYfOJADKDVdlOGiwnRRgZNynJTjosJ07v5cfayi+n0lYbhx4Mbu35oO3Dio2nMfDqqq99cc82DHbfq3Pmx4MfBiq36/e+vBToh/xtoIH9jLMexl+75sFRi2CrBXBt4b9gqwVWLYqz/b6h7kHQqmaYDpANOB6aveVn/evS8MTDumaQPsYNqqP1e/x777+B77AsfN6uPsfo9p8x/HDqYB2MA0qsvs/uzf2gADEyPw3r/dXcbc55zqLQb6O9k2PHXRMM4YmhbUa4ZkzEhVVRVLlizhrrvuqrV//PjxzJ8/v85zFixYwPjx42vtO/HEE3n55Zdxu92Ehe3bp1tZWUll5e4pqUVFRfuUCYaob5Zw1WIvY7bPIjerAID4P5xH8t2TlYhYyDAMXA47LoedTlEhegaP1wMVBVCaB2U7oax6W7rTv60sgopCzMpiqCjybyuLMCqLMKqXvY8yKomistX9O2tiYBp2fIYNExumYcc0bPgM/4+Rr+Yz/q1p2PznYKteVcSo3ld9rZofoZr3xp6fwTR2/1DtLkt1OdvumKrP3besgWlQXb+xx/eo/Z3qel+7rMGe/2ll1vx/2Nz7etX7veCfpWzHJAqIDpRxAxWGl3LDR7nho9LwUWH4qDJMKvFRaZhUVe+vMnxUYOKu/hw4hv+Y2zBx48NjmLgNEw8mXmOPaAwTDDfgxmjB9QlbkmGCrboNwoaBrfrrG3u0S9iq3+2ZuhimEfhs1Dpu7KccgdL7XNvcfZ2aDvg9YzAwqstA7f/d6/vsta2v7L6fd8exv3J7X6/+6x44Rva41weK0Vt4BXB5HVcLvUYlI3l5eXi9XpKTaz9vJDk5mZycnDrPycnJqbO8x+MhLy+P1NTUfc6ZNm0aU6ZMaUxoTdJ56UYOW2YCBdiio+ky6VYSLrpIiUhHYHdAVKL/tR91/mPgqYLq5AR3efWrzL/17PW51qvM/1DBwMu913v3Xvv3Pl4FPk/NL+h+YjYxTE/gH3xpfbxAlWFQZdRsDSqrtzXv3dXbmv1uwGMYeAzw4D9e895jVB/b431NeW/gPANP9Xv3nudh4DPAW51ceg3wYVRv/fv9x8FXfT1f9Xsf4G3Av5emAd5AqmfW/espljvP3GhZ3U0anbX3j7Vpmvv9Aa+rfF37a0yePJlJkyYFPhcVFZGent6UUPcr9oQTWN9tJT0OGc3AMy/HHh0d9DqkHXI4wdEZoix8bovP509KfN59t3XtM317fPbsu8/0t4Ng+up5j/8zpn/fnu/rPY9GlK0px+7z6lJrv1nP/v0daw37wY5/KExEo6/T0hpWt8808WLiw8RrVm8xq/f7/EnOXvvN6vV9/S8T0wRfYC+1y5j+rW+PNYFrypomgXK+Pa9pmruvXb317VHXnvX79qrTx77fu6bmPVIq/3avPx/zQOWpp7xp7vc8zP1fr64/qQPFvPc5/boeUcdVWkajkpHExETsdvs+rSC5ubn7tH7USElJqbO8w+Ggc+e6/zF3uVy4XKF/dslRl9914EIirZGtur9e625IK1D9t1GkyRr198fpdJKRkcHs2bNr7Z89ezajR4+u85xRo0btU/7LL79kxIgRdY4XERERkY6l0cnspEmTeOmll3jllVdYs2YNt956K5mZmYF1QyZPnsxll10WKD9x4kQ2b97MpEmTWLNmDa+88govv/wyf/nLX4L3LURERKTNavSYkQsuuICdO3cydepUsrOzGTx4MDNnzqRHjx4AZGdnk5mZGSjfq1cvZs6cya233sozzzxDWloaTz31lOVrjIiIiEjr0KGfTSMiIiKh09Dfb405EhEREUspGRERERFLKRkRERERSykZEREREUspGRERERFLKRkRERERSykZEREREUspGRERERFLKRkRERERSzV6OXgr1CwSW1RUZHEkIiIi0lA1v9sHWuy9TSQjxcXFAKSnp1sciYiIiDRWcXExcXFx9R5vE8+m8fl8ZGVlERMTg2EYQbtuUVER6enpbNmyRc+8CTHd65ah+9wydJ9bhu5zywjlfTZNk+LiYtLS0rDZ6h8Z0iZaRmw2G926dQvZ9WNjY/UXvYXoXrcM3eeWofvcMnSfW0ao7vP+WkRqaACriIiIWErJiIiIiFiqQycjLpeL++67D5fLZXUo7Z7udcvQfW4Zus8tQ/e5ZbSG+9wmBrCKiIhI+9WhW0ZERETEekpGRERExFJKRkRERMRSSkZERETEUh06GXn22Wfp1asX4eHhZGRk8P3331sdUqs1bdo0DjvsMGJiYkhKSuKss85i7dq1tcqYpsn9999PWloaERERHHPMMaxatapWmcrKSm688UYSExOJiorijDPOYOvWrbXK5Ofnc+mllxIXF0dcXByXXnopBQUFof6KrdK0adMwDINbbrklsE/3OTi2bdvGH//4Rzp37kxkZCSHHnooS5YsCRzXfW4+j8fDX//6V3r16kVERAS9e/dm6tSp+Hy+QBnd56b57rvvOP3000lLS8MwDD766KNax1vyvmZmZnL66acTFRVFYmIiN910E1VVVY37QmYH9fbbb5thYWHmiy++aK5evdq8+eabzaioKHPz5s1Wh9YqnXjiiearr75q/vLLL+by5cvNU0891ezevbtZUlISKPPII4+YMTEx5vvvv2+uXLnSvOCCC8zU1FSzqKgoUGbixIlm165dzdmzZ5tLly41x40bZw4dOtT0eDyBMieddJI5ePBgc/78+eb8+fPNwYMHm6eddlqLft/WYNGiRWbPnj3NIUOGmDfffHNgv+5z8+3atcvs0aOHOWHCBHPhwoXmxo0bza+++spct25doIzuc/M9+OCDZufOnc1PP/3U3Lhxo/nuu++a0dHR5vTp0wNldJ+bZubMmeY999xjvv/++yZgfvjhh7WOt9R99Xg85uDBg81x48aZS5cuNWfPnm2mpaWZN9xwQ6O+T4dNRg4//HBz4sSJtfb179/fvOuuuyyKqG3Jzc01AXPu3LmmaZqmz+czU1JSzEceeSRQpqKiwoyLizOff/550zRNs6CgwAwLCzPffvvtQJlt27aZNpvNnDVrlmmaprl69WoTMH/88cdAmQULFpiA+euvv7bEV2sViouLzX79+pmzZ882x44dG0hGdJ+D48477zTHjBlT73Hd5+A49dRTzSuvvLLWvnPOOcf84x//aJqm7nOw7J2MtOR9nTlzpmmz2cxt27YFyrz11lumy+UyCwsLG/wdOmQ3TVVVFUuWLGH8+PG19o8fP5758+dbFFXbUlhYCECnTp0A2LhxIzk5ObXuqcvlYuzYsYF7umTJEtxud60yaWlpDB48OFBmwYIFxMXFMXLkyECZI444gri4uA71Z/PnP/+ZU089leOPP77Wft3n4JgxYwYjRozgD3/4A0lJSQwbNowXX3wxcFz3OTjGjBnD119/zW+//QbAihUrmDdvHqeccgqg+xwqLXlfFyxYwODBg0lLSwuUOfHEE6msrKzV7XkgbeJBecGWl5eH1+slOTm51v7k5GRycnIsiqrtME2TSZMmMWbMGAYPHgwQuG913dPNmzcHyjidThISEvYpU3N+Tk4OSUlJ+9SZlJTUYf5s3n77bZYuXcrixYv3Oab7HBwbNmzgueeeY9KkSdx9990sWrSIm266CZfLxWWXXab7HCR33nknhYWF9O/fH7vdjtfr5aGHHuKiiy4C9Pc5VFryvubk5OxTT0JCAk6ns1H3vkMmIzUMw6j12TTNffbJvm644QZ+/vln5s2bt8+xptzTvcvUVb6j/Nls2bKFm2++mS+//JLw8PB6y+k+N4/P52PEiBE8/PDDAAwbNoxVq1bx3HPPcdlllwXK6T43zzvvvMPrr7/Om2++yaBBg1i+fDm33HILaWlpXH755YFyus+h0VL3NRj3vkN20yQmJmK32/fJ2nJzc/fJ8KS2G2+8kRkzZvDtt9/SrVu3wP6UlBSA/d7TlJQUqqqqyM/P32+Z7du371Pvjh07OsSfzZIlS8jNzSUjIwOHw4HD4WDu3Lk89dRTOByOwD3QfW6e1NRUBg4cWGvfgAEDyMzMBPT3OVhuv/127rrrLi688EIOOeQQLr30Um699VamTZsG6D6HSkve15SUlH3qyc/Px+12N+red8hkxOl0kpGRwezZs2vtnz17NqNHj7YoqtbNNE1uuOEGPvjgA7755ht69epV63ivXr1ISUmpdU+rqqqYO3du4J5mZGQQFhZWq0x2dja//PJLoMyoUaMoLCxk0aJFgTILFy6ksLCwQ/zZHHfccaxcuZLly5cHXiNGjOCSSy5h+fLl9O7dW/c5CI488sh9pqb/9ttv9OjRA9Df52ApKyvDZqv9M2O32wNTe3WfQ6Ml7+uoUaP45ZdfyM7ODpT58ssvcblcZGRkNDzoBg91bWdqpva+/PLL5urVq81bbrnFjIqKMjdt2mR1aK3SddddZ8bFxZlz5swxs7OzA6+ysrJAmUceecSMi4szP/jgA3PlypXmRRddVOdUsm7duplfffWVuXTpUvPYY4+tcyrZkCFDzAULFpgLFiwwDznkkHY9Re9A9pxNY5q6z8GwaNEi0+FwmA899JD5+++/m2+88YYZGRlpvv7664Eyus/Nd/nll5tdu3YNTO394IMPzMTERPOOO+4IlNF9bpri4mJz2bJl5rJly0zAfOKJJ8xly5YFlqdoqftaM7X3uOOOM5cuXWp+9dVXZrdu3TS1tzGeeeYZs0ePHqbT6TSHDx8emKYq+wLqfL366quBMj6fz7zvvvvMlJQU0+VymUcffbS5cuXKWtcpLy83b7jhBrNTp05mRESEedppp5mZmZm1yuzcudO85JJLzJiYGDMmJsa85JJLzPz8/Bb4lq3T3smI7nNwfPLJJ+bgwYNNl8tl9u/f3/zXv/5V67juc/MVFRWZN998s9m9e3czPDzc7N27t3nPPfeYlZWVgTK6z03z7bff1vlv8uWXX26aZsve182bN5unnnqqGRERYXbq1Mm84YYbzIqKikZ9H8M0TbPh7SgiIiIiwdUhx4yIiIhI66FkRERERCylZEREREQspWRERERELKVkRERERCylZEREREQspWRERERELKVkRERERCylZEREREQspWRERERELKVkRERERCylZEREREQs9f8MhH8+UwM4lgAAAABJRU5ErkJggg==", - "image/svg+xml": "\n\n\n \n \n \n \n 2021-08-23T17:56:22.458814\n image/svg+xml\n \n \n Matplotlib v3.4.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plots\n", - "plt.plot(results_test_np[:,0])\n", - "plt.plot(results_test_np[:,1])\n", - "plt.plot(results_test_np[:,2])\n", - "plt.plot(results_test_np[:,3])\n", - "\n", - "plt.legend([\"S\", \"E\", \"I\", \"R\"])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"SEIR_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"a\": 0.1, \"g1\": 0.3, \"g2\": 0.2},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={'a': 0.09994731843471527, 'g1': 0.2934265434741974, 'g2': 0.1998223513364792},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_test = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(1.3294e-07, grad_fn=)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result_test)" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "451aa0df4a570cd656587110b6aa2986586cee19fad7a1827a6dda4238079d81" - }, - "kernelspec": { - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/ode/lorenz63/Lorenz63Test.ipynb b/examples/ode/lorenz63/Lorenz63Test.ipynb deleted file mode 100644 index 8a81d424..00000000 --- a/examples/ode/lorenz63/Lorenz63Test.ipynb +++ /dev/null @@ -1,425 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.chdir(\"../../../\")" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from torchts.nn.models.ode import ODESolver\n", - "from torchts.utils.data import generate_ode_dataset\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import mpl_toolkits.mplot3d.axes3d as p3\n", - "\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# Lorenz 63 equations\n", - "def x_prime(prev_val, coeffs):\n", - " return coeffs[\"sigma\"]*(prev_val[\"y\"]-prev_val[\"x\"])\n", - "\n", - "def y_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*(coeffs[\"rho\"]-prev_val[\"z\"])-prev_val[\"y\"]\n", - "\n", - "def z_prime(prev_val, coeffs):\n", - " return prev_val[\"x\"]*prev_val[\"y\"]-coeffs[\"beta\"]*prev_val[\"z\"]\n", - "\n", - "ode = {\"x\": x_prime, \"y\": y_prime, \"z\": z_prime}\n", - "\n", - "# Initial conditions [1,0,0]\n", - "ode_init = {\"x\":1, \"y\":0, \"z\":0}\n", - "\n", - "# Constants (Parameters)\n", - "ode_coeffs = {\"sigma\": 10., \"rho\": 28., \"beta\": 2.7}\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4th Order Runge-Kutta - Data Generation for nt = 1000" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 1.0000e+00, 0.0000e+00, 0.0000e+00],\n", - " [ 9.1793e-01, 2.6634e-01, 1.2636e-03],\n", - " [ 8.6792e-01, 5.1173e-01, 4.6540e-03],\n", - " ...,\n", - " [-5.6997e+00, -5.8341e+00, 2.3410e+01],\n", - " [-5.7226e+00, -6.0452e+00, 2.3121e+01],\n", - " [-5.7641e+00, -6.2715e+00, 2.2854e+01]], grad_fn=)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "result" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "x_train, y_train = generate_ode_dataset(result, num_steps=5)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":8: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n", - " ax = fig.gca(projection='3d')\n" - ] - }, - { - "data": { - "image/png": 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", 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", 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,0], result_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(result_np[:,0], result_np[:,1], result_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Runge-Kutta method for training" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/marty/Documents/GitHub/torchTS/torchts/nn/models/ode.py:24: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", - " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n" - ] - } - ], - "source": [ - "ode_train_coeffs = {\"sigma\": 20*torch.rand(()), \"rho\": 20*torch.rand(()), \"beta\": 20*torch.rand(())} # Start with arbitrary values\n", - "\n", - "ode_solver_train = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_train_coeffs,\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=torch.optim.Adam,\n", - " optimizer_args={\"lr\": 0.01}\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "GPU available: False, used: False\n", - "TPU available: False, using: 0 TPU cores\n", - "IPU available: False, using: 0 IPUs\n", - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/configuration_validator.py:122: UserWarning: You defined a `validation_step` but have no `val_dataloader`. Skipping val loop.\n", - " rank_zero_warn(\"You defined a `validation_step` but have no `val_dataloader`. Skipping val loop.\")\n", - "\n", - " | Name | Type | Params\n", - "------------------------------\n", - "------------------------------\n", - "3 Trainable params\n", - "0 Non-trainable params\n", - "3 Total params\n", - "0.000 Total estimated model params size (MB)\n", - "/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/data_loading.py:116: UserWarning: The dataloader, train_dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 4 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", - " rank_zero_warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch 0: 0%| | 1/995 [00:04<1:16:30, 4.62s/it, loss=28.9, v_num=33, train_loss_step=28.90]" - ] - }, - { - "ename": "RuntimeError", - "evalue": "Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m ode_solver_train.fit(\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mx_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m )\n", - "\u001b[0;32m~/Documents/GitHub/torchTS/torchts/nn/model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, x, y, max_epochs, batch_size)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0mloader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataLoader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshuffle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[0mtrainer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTrainer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 59\u001b[0;31m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mloader\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 60\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mprepare_batch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, model, train_dataloaders, val_dataloaders, datamodule, train_dataloader, ckpt_path)\u001b[0m\n\u001b[1;32m 735\u001b[0m )\n\u001b[1;32m 736\u001b[0m \u001b[0mtrain_dataloaders\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain_dataloader\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 737\u001b[0;31m self._call_and_handle_interrupt(\n\u001b[0m\u001b[1;32m 738\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fit_impl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrain_dataloaders\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mval_dataloaders\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdatamodule\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mckpt_path\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 739\u001b[0m )\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_call_and_handle_interrupt\u001b[0;34m(self, trainer_fn, *args, **kwargs)\u001b[0m\n\u001b[1;32m 680\u001b[0m \"\"\"\n\u001b[1;32m 681\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 682\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mtrainer_fn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 683\u001b[0m \u001b[0;31m# TODO: treat KeyboardInterrupt as BaseException (delete the code below) in v1.7\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 684\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mKeyboardInterrupt\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mexception\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_fit_impl\u001b[0;34m(self, model, train_dataloaders, val_dataloaders, datamodule, ckpt_path)\u001b[0m\n\u001b[1;32m 770\u001b[0m \u001b[0;31m# TODO: ckpt_path only in v1.7\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 771\u001b[0m \u001b[0mckpt_path\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mckpt_path\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresume_from_checkpoint\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 772\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mckpt_path\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mckpt_path\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 773\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 774\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstopped\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_run\u001b[0;34m(self, model, ckpt_path)\u001b[0m\n\u001b[1;32m 1192\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1193\u001b[0m \u001b[0;31m# dispatch `start_training` or `start_evaluating` or `start_predicting`\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1194\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dispatch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1195\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1196\u001b[0m \u001b[0;31m# plugin will finalized fitting (e.g. ddp_spawn will load trained model)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_dispatch\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 1272\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtraining_type_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_predicting\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1273\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1274\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtraining_type_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1275\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1276\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mrun_stage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/plugins/training_type/training_type_plugin.py\u001b[0m in \u001b[0;36mstart_training\u001b[0;34m(self, trainer)\u001b[0m\n\u001b[1;32m 200\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 201\u001b[0m \u001b[0;31m# double dispatch to initiate the training loop\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 202\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_results\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun_stage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 203\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 204\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_evaluating\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36mrun_stage\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 1282\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredicting\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1283\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run_predict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1284\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run_train\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1285\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1286\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_pre_training_routine\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - 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"\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/torch/tensor.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(self, gradient, retain_graph, create_graph)\u001b[0m\n\u001b[1;32m 219\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 220\u001b[0m create_graph=create_graph)\n\u001b[0;32m--> 221\u001b[0;31m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mautograd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgradient\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 222\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 223\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mregister_hook\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhook\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(tensors, grad_tensors, retain_graph, create_graph, grad_variables)\u001b[0m\n\u001b[1;32m 128\u001b[0m \u001b[0mretain_graph\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 130\u001b[0;31m Variable._execution_engine.run_backward(\n\u001b[0m\u001b[1;32m 131\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 132\u001b[0m allow_unreachable=True) # allow_unreachable flag\n", - "\u001b[0;31mRuntimeError\u001b[0m: Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time." - ] - } - ], - "source": [ - "ode_solver_train.fit(\n", - " x_train, y_train, batch_size=1\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver_train.coeffs" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Predictions for nt = 10000" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "results_test = ode_solver_train(10000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "results_test" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "results_test_np = results_test.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(results_test_np[:,0], results_test_np[:,2])\n", - "\n", - "# 3D plot\n", - "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "ax.plot3D(results_test_np[:,0], results_test_np[:,1], results_test_np[:,2], 'blue')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy.io\n", - "\n", - "scipy.io.savemat(\"Lorenz63_fitRandomSample_RK4.mat\", {\"x\": results_test_np})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mean Squared Error Loss" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"sigma\": 10., \"rho\": 28., \"beta\": 2.7},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ode_solver = ODESolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs={\"sigma\": 10.0535, \"rho\": 28.0544, \"beta\": 2.6995},\n", - " dt=0.01,\n", - " solver=\"rk4\",\n", - " optimizer=None,\n", - ")\n", - "\n", - "result_test = ode_solver(1000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "loss = torch.nn.MSELoss()\n", - "loss(result_train,result_test)" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "451aa0df4a570cd656587110b6aa2986586cee19fad7a1827a6dda4238079d81" - }, - "kernelspec": { - "display_name": "Python 3.9.6 64-bit ('torchTS': conda)", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} From c6864fc1dd2c9e499d90dc2cc39227c3ac5ac0b2 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 20:56:23 -0500 Subject: [PATCH 67/73] Changed hybridODENet to reflect original ODESolver --- torchts/nn/models/hybridode.py | 44 ++++++++-------------------------- 1 file changed, 10 insertions(+), 34 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 3b2fd2e9..a4d6d6a1 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -22,9 +22,7 @@ def __init__( raise ValueError("Inconsistent keys in ode and init_vars") if solver == "euler": - self.step_solver = self.euler_step - elif solver == "rk4": - self.step_solver = self.runge_kutta_4_step + self.solver = self.euler else: raise ValueError(f"Unrecognized solver {solver}") @@ -42,38 +40,16 @@ def __init__( self.outvar = self.var_names if outvar is None else outvar self.dt = dt - def euler_step(self, prev_val): + def euler(self, nt): pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - for var in self.var_names: - pred[var] = prev_val[var] - pred[var] += self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt - return pred - def runge_kutta_4_step(self, prev_val): - pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} - - k_1 = prev_val - k_2 = {} - k_3 = {} - k_4 = {} - - for var in self.var_names: - k_2[var] = prev_val[var] - k_2[var] += self.ode[var](prev_val, self.coeffs, self.dnns) * 0.5 * self.dt - - for var in self.var_names: - k_3[var] = prev_val[var] - k_3[var] += self.ode[var](k_2, self.coeffs, self.dnns) * 0.5 * self.dt - - for var in self.var_names: - k_4[var] = prev_val[var] - k_4[var] += self.ode[var](k_3, self.coeffs, self.dnns) * self.dt + for n in range(nt - 1): + # create dictionary containing values from previous time step + prev_val = {var: pred[var][[n]] for var in self.var_names} - for var in self.var_names: - result = self.ode[var](k_1, self.coeffs, self.dnns) / 6 - result += self.ode[var](k_2, self.coeffs, self.dnns) / 3 - result += self.ode[var](k_3, self.coeffs, self.dnns) / 3 - result += self.ode[var](k_4, self.coeffs, self.dnns) / 6 - pred[var] = prev_val[var] + result * self.dt + for var in self.var_names: + new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt + pred[var] = torch.cat([pred[var], new_val]) - return pred + # reformat output to contain desired (observed) variables + return torch.stack([pred[var] for var in self.outvar], dim=1) From 7f402ffe385ebd9a155159b81e4870a3d48dac86 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 21:00:08 -0500 Subject: [PATCH 68/73] Create DuffingTest_HybridODE.ipynb --- .../DuffingTest_HybridODE.ipynb | 732 ++++++++++++++++++ 1 file changed, 732 insertions(+) create mode 100644 examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb diff --git a/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb b/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb new file mode 100644 index 00000000..3a821964 --- /dev/null +++ b/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb @@ -0,0 +1,732 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "DuffingTest_DNN.ipynb", + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "5Z8Z-OzS6Z-G", + "outputId": "f83e0d3c-fb76-4938-8aac-3e01134a1969" + }, + "source": [ + "!pip install pytorch_lightning" + ], + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Collecting pytorch_lightning\n", + " Downloading pytorch_lightning-1.4.9-py3-none-any.whl (925 kB)\n", + "\u001b[?25l\r\u001b[K |▍ | 10 kB 21.7 MB/s eta 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mpl_toolkits.mplot3d.axes3d as p3" + ], + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "Pf5K_82g5blO" + }, + "source": [ + "class ODEDNNSolver(LightningModule):\n", + " def __init__(\n", + " self, ode, init_vars, init_coeffs, dt, solver=\"euler\", outvar=None, **kwargs\n", + " ):\n", + " super().__init__(**kwargs)\n", + "\n", + " if ode.keys() != init_vars.keys():\n", + " raise ValueError(\"Inconsistent keys in ode and init_vars\")\n", + "\n", + " if solver == \"euler\":\n", + " self.step_solver = self.euler_step\n", + " elif solver == \"rk4\":\n", + " self.step_solver = self.runge_kutta_4_step\n", + " else:\n", + " raise ValueError(f\"Unrecognized solver {solver}\")\n", + "\n", + " for name, value in init_coeffs.items():\n", + " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n", + " \n", + " self.ode = ode\n", + " self.var_names = ode.keys()\n", + " self.init_vars = {\n", + " name: torch.tensor(value, device=self.device)\n", + " for name, value in init_vars.items()\n", + " }\n", + " self.coeffs = {name: param for name, param in self.named_parameters()}\n", + "\n", + " self.dnn = nn.Sequential(\n", + " nn.Linear(1,10),\n", + " nn.ReLU(),\n", + " nn.Linear(10,1),\n", + " nn.Tanh()\n", + " )\n", + "\n", + " self.outvar = self.var_names if outvar is None else outvar\n", + " self.dt = dt\n", + " self.criterion = F.mse_loss\n", + "\n", + " def euler_step(self, prev_val):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + " for var in self.var_names:\n", + " pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * self.dt\n", + " return pred\n", + "\n", + " def runge_kutta_4_step(self, prev_val):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + "\n", + " k_1 = prev_val\n", + " k_2 = {}\n", + " k_3 = {}\n", + " k_4 = {}\n", + "\n", + " for var in self.var_names:\n", + " k_2[var] = (\n", + " prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * 0.5 * self.dt\n", + " )\n", + "\n", + " for var in self.var_names:\n", + " k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnn) * 0.5 * self.dt\n", + "\n", + " for var in self.var_names:\n", + " k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnn) * self.dt\n", + "\n", + " for var in self.var_names:\n", + " result = self.ode[var](k_1, self.coeffs, self.dnn) / 6\n", + " result += self.ode[var](k_2, self.coeffs, self.dnn) / 3\n", + " result += self.ode[var](k_3, self.coeffs, self.dnn) / 3\n", + " result += self.ode[var](k_4, self.coeffs, self.dnn) / 6\n", + " pred[var] = prev_val[var] + result * self.dt\n", + "\n", + " return pred\n", + "\n", + " def solver(self, nt):\n", + " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", + "\n", + " for n in range(nt - 1):\n", + " # create dictionary containing values from previous time step\n", + " prev_val = {var: pred[var][[n]] for var in self.var_names}\n", + " new_val = self.step_solver(prev_val)\n", + " for var in self.var_names:\n", + " pred[var] = torch.cat([pred[var], new_val[var]])\n", + "\n", + " # reformat output to contain desired (observed) variables\n", + " return torch.stack([pred[var] for var in self.outvar], dim=1)\n", + "\n", + " def forward(self, nt):\n", + " return self.solver(nt)\n", + "\n", + " def get_coeffs(self):\n", + " return {name: param.item() for name, param in self.named_parameters()}\n", + "\n", + " def fit(\n", + " self,\n", + " x,\n", + " optim,\n", + " optim_params=None,\n", + " max_epochs=10,\n", + " scheduler=None,\n", + " scheduler_params=None,\n", + " ):\n", + " \"\"\"Fits model to the given data by comparing the whole dataset\n", + " Args:\n", + " x (torch.Tensor): Original time series data\n", + " optim (torch.optim): Optimizer\n", + " optim_params: Optimizer parameters\n", + " max_epochs (int): Number of training epochs\n", + " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", + " scheduler_params: Learning rate scheduler parameters\n", + " \"\"\"\n", + " dataset = TensorDataset(x)\n", + " n = dataset.__len__()\n", + " loader = DataLoader(dataset, batch_size=n)\n", + "\n", + " if optim_params is not None:\n", + " optimizer = optim(self.parameters(), **optim_params)\n", + " else:\n", + " optimizer = optim(self.parameters())\n", + "\n", + " if scheduler is not None:\n", + " if scheduler_params is not None:\n", + " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", + " else:\n", + " lr_scheduler = scheduler(optimizer)\n", + "\n", + " for epoch in range(max_epochs):\n", + " for i, data in enumerate(loader, 0):\n", + " self.zero_grad()\n", + " loss = self._step(data, i, n)\n", + " loss.backward(retain_graph=True)\n", + " optimizer.step()\n", + " if scheduler is not None:\n", + " lr_scheduler.step()\n", + "\n", + " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", + " print(self.coeffs)\n", + " # Testing to see that self.dnns changes\n", + " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", + "\n", + " def fit_random_sample(\n", + " self,\n", + " x,\n", + " optim,\n", + " optim_params=None,\n", + " max_epochs=10,\n", + " batch_size=64,\n", + " scheduler=None,\n", + " scheduler_params=None,\n", + " ):\n", + " \"\"\"Fits model to the given data by using random samples for each batch\n", + " Args:\n", + " x (torch.Tensor): Original time series data\n", + " optim (torch.optim): Optimizer\n", + " optim_params: Optimizer parameters\n", + " max_epochs (int): Number of training epochs\n", + " batch_size (int): Batch size for torch.utils.data.DataLoader\n", + " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", + " scheduler_params: Learning rate scheduler parameters\n", + " \"\"\"\n", + " dataset = TensorDataset(x)\n", + " loader = DataLoader(dataset, batch_size=batch_size)\n", + "\n", + " if optim_params is not None:\n", + " optimizer = optim(self.parameters(), **optim_params)\n", + " else:\n", + " optimizer = optim(self.parameters())\n", + "\n", + " if scheduler is not None:\n", + " if scheduler_params is not None:\n", + " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", + " else:\n", + " lr_scheduler = scheduler(optimizer)\n", + "\n", + " for epoch in range(max_epochs):\n", + " for i, data in enumerate(loader, 0):\n", + " self.zero_grad()\n", + "\n", + " n = data[0].shape[0]\n", + "\n", + " if n < 3:\n", + " continue\n", + "\n", + " # Takes a random data point from \"data\"\n", + " ri = torch.randint(low=0, high=n - 2, size=()).item()\n", + " single_point = data[0][ri : ri + 1, :]\n", + " init_point = {\n", + " var: single_point[0, i] for i, var in enumerate(self.var_names)\n", + " }\n", + "\n", + " pred = {\n", + " name: value.unsqueeze(0) for name, value in self.init_vars.items()\n", + " }\n", + "\n", + " pred = self.step_solver(init_point)\n", + "\n", + " predictions = torch.stack([pred[var] for var in self.outvar], dim=0)\n", + "\n", + " # Compare numerical integration data with next data point\n", + " loss = self.criterion(predictions, data[0][ri + 1, :])\n", + "\n", + " loss.backward(retain_graph=True)\n", + " optimizer.step()\n", + "\n", + " if scheduler is not None:\n", + " lr_scheduler.step()\n", + "\n", + " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", + " print(self.coeffs)\n", + " # Testing to see that self.dnns changes\n", + " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", + "\n", + " def _step(self, batch, batch_idx, num_batches):\n", + " (x,) = batch\n", + " nt = x.shape[0]\n", + " pred = self(nt)\n", + " return self.criterion(pred, x)" + ], + "execution_count": 3, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "vhzCXiGS7vcj" + }, + "source": [ + "# Duffing equation: Second order ODE system\n", + "dt = 0.01\n", + "\n", + "def x_prime(prev_val, coeffs, dnns):\n", + " return prev_val[\"x_\"]\n", + "\n", + "def x_prime_prime(prev_val, coeffs, dnns):\n", + " return 0.8*torch.cos(0.5*prev_val[\"t\"]) - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n", + "\n", + "def t_prime(prev_val, coeffs, dnns):\n", + " return 1\n", + "\n", + "ode = {\"x\": x_prime, \"x_\": x_prime_prime, \"t\": t_prime}\n", + "\n", + "# Initial conditions [0,0,0]\n", + "ode_init = {\"x\": 0, \"x_\": 0, \"t\": 0}\n", + "\n", + "# Constants (Parameters)\n", + "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2}" + ], + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0-Om8KZe7zHS" + }, + "source": [ + "# 4th Order Runge-Kutta - Data Generation for nt = 1000" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NwF7ddNl71cq" + }, + "source": [ + "ode_solver = ODEDNNSolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")\n", + "\n", + "result = ode_solver(1000)" + ], + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "UnDf8azV8W0p", + "outputId": "6eca4784-0e7d-4537-95d8-94ec220d1156" + }, + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ObTghBli7-no" + }, + "source": [ + "# Euler's method for training" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "87VAZZtR7-n1" + }, + "source": [ + "def x_prime_prime_train(prev_val, coeffs, dnns):\n", + " return dnns(torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" + ], + "execution_count": 7, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "dTx1Q0PV7-n2" + }, + "source": [ + "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0.}\n", + "ode_train = {\"x\": x_prime, \"x_\": x_prime_prime_train, \"t\": t_prime}\n", + "\n", + "ode_solver_train = ODEDNNSolver(\n", + " ode=ode_train,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_train_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")" + ], + "execution_count": 8, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "67eN5ZyB7-n2", + "outputId": "1588284b-d8f3-42ed-ff4e-0428b39394e8" + }, + "source": [ + "ode_solver_train.fit_random_sample(\n", + " result,torch.optim.Adam,\n", + " {\"lr\": 0.02},\n", + " max_epochs=20,\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", + ")" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch: 0\t Loss: tensor(6.2093e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1419, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.1420, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0721, requires_grad=True)}\n", + "DNN(1) tensor([0.2365], grad_fn=)\n", + "Epoch: 1\t Loss: tensor(2.0705e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2516, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1099, requires_grad=True)}\n", + "DNN(1) tensor([0.1373], grad_fn=)\n", + "Epoch: 2\t Loss: tensor(2.1068e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2731, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.2960, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.1083, requires_grad=True)}\n", + "DNN(1) tensor([0.2051], grad_fn=)\n", + "Epoch: 3\t Loss: tensor(2.6809e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2646, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3165, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0769, requires_grad=True)}\n", + "DNN(1) tensor([0.3410], grad_fn=)\n", + "Epoch: 4\t Loss: tensor(2.4307e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2557, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3321, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0659, requires_grad=True)}\n", + "DNN(1) tensor([0.2867], grad_fn=)\n", + "Epoch: 5\t Loss: tensor(2.1748e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3312, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0237, requires_grad=True)}\n", + "DNN(1) tensor([0.4414], grad_fn=)\n", + "Epoch: 6\t Loss: tensor(2.6169e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1903, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3348, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0237, requires_grad=True)}\n", + "DNN(1) tensor([0.3845], grad_fn=)\n", + "Epoch: 7\t Loss: tensor(1.6772e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1749, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3486, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0295, requires_grad=True)}\n", + "DNN(1) tensor([0.4565], grad_fn=)\n", + "Epoch: 8\t Loss: tensor(3.1222e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1566, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3485, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0641, requires_grad=True)}\n", + "DNN(1) tensor([0.2051], grad_fn=)\n", + "Epoch: 9\t Loss: tensor(5.5046e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1387, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3774, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0270, requires_grad=True)}\n", + "DNN(1) tensor([0.4718], grad_fn=)\n", + "Epoch: 10\t Loss: tensor(8.6054e-06, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1340, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3802, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0232, requires_grad=True)}\n", + "DNN(1) tensor([0.4493], grad_fn=)\n", + "Epoch: 11\t Loss: tensor(1.7816e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1227, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3761, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0155, requires_grad=True)}\n", + "DNN(1) tensor([0.4175], grad_fn=)\n", + "Epoch: 12\t Loss: tensor(1.5981e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1157, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3760, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0098, requires_grad=True)}\n", + "DNN(1) tensor([0.4440], grad_fn=)\n", + "Epoch: 13\t Loss: tensor(1.0512e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1122, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3779, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0064, requires_grad=True)}\n", + "DNN(1) tensor([0.4677], grad_fn=)\n", + "Epoch: 14\t Loss: tensor(1.4457e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1096, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3788, requires_grad=True), 'd': Parameter containing:\n", + "tensor(-0.0031, requires_grad=True)}\n", + "DNN(1) tensor([0.4644], grad_fn=)\n", + "Epoch: 15\t Loss: tensor(1.2071e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.1031, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3770, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0009, requires_grad=True)}\n", + "DNN(1) tensor([0.4661], grad_fn=)\n", + "Epoch: 16\t Loss: tensor(1.5328e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0963, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3764, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0040, requires_grad=True)}\n", + "DNN(1) tensor([0.4691], grad_fn=)\n", + "Epoch: 17\t Loss: tensor(1.4537e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0909, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3771, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0068, requires_grad=True)}\n", + "DNN(1) tensor([0.4822], grad_fn=)\n", + "Epoch: 18\t Loss: tensor(1.4585e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0887, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3810, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0104, requires_grad=True)}\n", + "DNN(1) tensor([0.4979], grad_fn=)\n", + "Epoch: 19\t Loss: tensor(1.1779e-05, grad_fn=)\n", + "{'a': Parameter containing:\n", + "tensor(0.0851, requires_grad=True), 'b': Parameter containing:\n", + "tensor(0.3836, requires_grad=True), 'd': Parameter containing:\n", + "tensor(0.0162, requires_grad=True)}\n", + "DNN(1) tensor([0.5046], grad_fn=)\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 266 + }, + "id": "IOMjwKY27-n2", + "outputId": "1e8218d2-8200-4b08-9ae5-ec7152cfe18d" + }, + "source": [ + "result = ode_solver_train(1000)\n", + "\n", + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" + ], + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9adPvysOrfMr" + }, + "source": [ + "# Mean Squared Error Loss" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "kwktnR93ripb" + }, + "source": [ + "ode_solver = ODEDNNSolver(\n", + " ode=ode,\n", + " init_vars=ode_init,\n", + " init_coeffs=ode_coeffs,\n", + " dt=dt,\n", + " solver=\"rk4\"\n", + ")\n", + "\n", + "result_train = ode_solver(1000)" + ], + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "aVYankyRrwoW", + "outputId": "bc16f6f1-c234-44cb-c9e6-ce0b4f5e8f45" + }, + "source": [ + "loss = torch.nn.MSELoss()\n", + "loss(result_train,result)" + ], + "execution_count": 12, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "tensor(0.0529, grad_fn=)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ] + } + ] +} From ca206fcb5d2ac471b36954013091e166e88d7959 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Sun, 19 Dec 2021 21:40:30 -0500 Subject: [PATCH 69/73] Attempt first example --- .../DuffingTest_HybridODE.ipynb | 758 +++++------------- torchts/nn/models/hybridode.py | 2 +- torchts/nn/models/ode.py | 2 +- 3 files changed, 214 insertions(+), 548 deletions(-) diff --git a/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb b/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb index 3a821964..ac7191c4 100644 --- a/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb +++ b/examples/ode/DuffingEquation/DuffingTest_HybridODE.ipynb @@ -1,124 +1,12 @@ { - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "DuffingTest_DNN.ipynb", - "provenance": [], - "toc_visible": true - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - }, - "language_info": { - "name": "python" - } - }, "cells": [ { "cell_type": "code", - 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future (setup.py) ... \u001b[?25l\u001b[?25hdone\n", - " Created wheel for future: filename=future-0.18.2-py3-none-any.whl size=491070 sha256=8c063018aa301dc492d85fbe4044ef8bf855372d849f3b6f40c44a7b52ea1f17\n", - " Stored in directory: /root/.cache/pip/wheels/56/b0/fe/4410d17b32f1f0c3cf54cdfb2bc04d7b4b8f4ae377e2229ba0\n", - "Successfully built future\n", - "Installing collected packages: multidict, yarl, async-timeout, fsspec, aiohttp, torchmetrics, PyYAML, pyDeprecate, future, pytorch-lightning\n", - " Attempting uninstall: PyYAML\n", - " Found existing installation: PyYAML 3.13\n", - " Uninstalling PyYAML-3.13:\n", - " Successfully uninstalled PyYAML-3.13\n", - " Attempting uninstall: future\n", - " Found existing installation: future 0.16.0\n", - " Uninstalling future-0.16.0:\n", - " Successfully uninstalled future-0.16.0\n", - "Successfully installed PyYAML-6.0 aiohttp-3.7.4.post0 async-timeout-3.0.1 fsspec-2021.10.1 future-0.18.2 multidict-5.2.0 pyDeprecate-0.3.1 pytorch-lightning-1.4.9 torchmetrics-0.5.1 yarl-1.7.0\n" - ] - } - ] - }, - { - "cell_type": "code", "metadata": { "id": "zu5Sh81e6N9a" }, + "outputs": [], "source": [ "import torch\n", "from pytorch_lightning import LightningModule\n", @@ -128,240 +16,31 @@ "\n", "import matplotlib.pyplot as plt\n", "import mpl_toolkits.mplot3d.axes3d as p3" - ], - "execution_count": 2, - "outputs": [] + ] }, { "cell_type": "code", - "metadata": { - "id": "Pf5K_82g5blO" - }, + "execution_count": 2, + "metadata": {}, + "outputs": [], "source": [ - "class ODEDNNSolver(LightningModule):\n", - " def __init__(\n", - " self, ode, init_vars, init_coeffs, dt, solver=\"euler\", outvar=None, **kwargs\n", - " ):\n", - " super().__init__(**kwargs)\n", - "\n", - " if ode.keys() != init_vars.keys():\n", - " raise ValueError(\"Inconsistent keys in ode and init_vars\")\n", - "\n", - " if solver == \"euler\":\n", - " self.step_solver = self.euler_step\n", - " elif solver == \"rk4\":\n", - " self.step_solver = self.runge_kutta_4_step\n", - " else:\n", - " raise ValueError(f\"Unrecognized solver {solver}\")\n", - "\n", - " for name, value in init_coeffs.items():\n", - " self.register_parameter(name, nn.Parameter(torch.tensor(value)))\n", - " \n", - " self.ode = ode\n", - " self.var_names = ode.keys()\n", - " self.init_vars = {\n", - " name: torch.tensor(value, device=self.device)\n", - " for name, value in init_vars.items()\n", - " }\n", - " self.coeffs = {name: param for name, param in self.named_parameters()}\n", - "\n", - " self.dnn = nn.Sequential(\n", - " nn.Linear(1,10),\n", - " nn.ReLU(),\n", - " nn.Linear(10,1),\n", - " nn.Tanh()\n", - " )\n", - "\n", - " self.outvar = self.var_names if outvar is None else outvar\n", - " self.dt = dt\n", - " self.criterion = F.mse_loss\n", - "\n", - " def euler_step(self, prev_val):\n", - " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", - " for var in self.var_names:\n", - " pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * self.dt\n", - " return pred\n", - "\n", - " def runge_kutta_4_step(self, prev_val):\n", - " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", - "\n", - " k_1 = prev_val\n", - " k_2 = {}\n", - " k_3 = {}\n", - " k_4 = {}\n", - "\n", - " for var in self.var_names:\n", - " k_2[var] = (\n", - " prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnn) * 0.5 * self.dt\n", - " )\n", - "\n", - " for var in self.var_names:\n", - " k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs, self.dnn) * 0.5 * self.dt\n", - "\n", - " for var in self.var_names:\n", - " k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs, self.dnn) * self.dt\n", - "\n", - " for var in self.var_names:\n", - " result = self.ode[var](k_1, self.coeffs, self.dnn) / 6\n", - " result += self.ode[var](k_2, self.coeffs, self.dnn) / 3\n", - " result += self.ode[var](k_3, self.coeffs, self.dnn) / 3\n", - " result += self.ode[var](k_4, self.coeffs, self.dnn) / 6\n", - " pred[var] = prev_val[var] + result * self.dt\n", - "\n", - " return pred\n", - "\n", - " def solver(self, nt):\n", - " pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()}\n", - "\n", - " for n in range(nt - 1):\n", - " # create dictionary containing values from previous time step\n", - " prev_val = {var: pred[var][[n]] for var in self.var_names}\n", - " new_val = self.step_solver(prev_val)\n", - " for var in self.var_names:\n", - " pred[var] = torch.cat([pred[var], new_val[var]])\n", - "\n", - " # reformat output to contain desired (observed) variables\n", - " return torch.stack([pred[var] for var in self.outvar], dim=1)\n", - "\n", - " def forward(self, nt):\n", - " return self.solver(nt)\n", - "\n", - " def get_coeffs(self):\n", - " return {name: param.item() for name, param in self.named_parameters()}\n", - "\n", - " def fit(\n", - " self,\n", - " x,\n", - " optim,\n", - " optim_params=None,\n", - " max_epochs=10,\n", - " scheduler=None,\n", - " scheduler_params=None,\n", - " ):\n", - " \"\"\"Fits model to the given data by comparing the whole dataset\n", - " Args:\n", - " x (torch.Tensor): Original time series data\n", - " optim (torch.optim): Optimizer\n", - " optim_params: Optimizer parameters\n", - " max_epochs (int): Number of training epochs\n", - " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", - " scheduler_params: Learning rate scheduler parameters\n", - " \"\"\"\n", - " dataset = TensorDataset(x)\n", - " n = dataset.__len__()\n", - " loader = DataLoader(dataset, batch_size=n)\n", - "\n", - " if optim_params is not None:\n", - " optimizer = optim(self.parameters(), **optim_params)\n", - " else:\n", - " optimizer = optim(self.parameters())\n", - "\n", - " if scheduler is not None:\n", - " if scheduler_params is not None:\n", - " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", - " else:\n", - " lr_scheduler = scheduler(optimizer)\n", - "\n", - " for epoch in range(max_epochs):\n", - " for i, data in enumerate(loader, 0):\n", - " self.zero_grad()\n", - " loss = self._step(data, i, n)\n", - " loss.backward(retain_graph=True)\n", - " optimizer.step()\n", - " if scheduler is not None:\n", - " lr_scheduler.step()\n", - "\n", - " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", - " print(self.coeffs)\n", - " # Testing to see that self.dnns changes\n", - " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", - "\n", - " def fit_random_sample(\n", - " self,\n", - " x,\n", - " optim,\n", - " optim_params=None,\n", - " max_epochs=10,\n", - " batch_size=64,\n", - " scheduler=None,\n", - " scheduler_params=None,\n", - " ):\n", - " \"\"\"Fits model to the given data by using random samples for each batch\n", - " Args:\n", - " x (torch.Tensor): Original time series data\n", - " optim (torch.optim): Optimizer\n", - " optim_params: Optimizer parameters\n", - " max_epochs (int): Number of training epochs\n", - " batch_size (int): Batch size for torch.utils.data.DataLoader\n", - " scheduler (torch.optim.lr_scheduler): Learning rate scheduler\n", - " scheduler_params: Learning rate scheduler parameters\n", - " \"\"\"\n", - " dataset = TensorDataset(x)\n", - " loader = DataLoader(dataset, batch_size=batch_size)\n", - "\n", - " if optim_params is not None:\n", - " optimizer = optim(self.parameters(), **optim_params)\n", - " else:\n", - " optimizer = optim(self.parameters())\n", - "\n", - " if scheduler is not None:\n", - " if scheduler_params is not None:\n", - " lr_scheduler = scheduler(optimizer, **scheduler_params)\n", - " else:\n", - " lr_scheduler = scheduler(optimizer)\n", - "\n", - " for epoch in range(max_epochs):\n", - " for i, data in enumerate(loader, 0):\n", - " self.zero_grad()\n", - "\n", - " n = data[0].shape[0]\n", - "\n", - " if n < 3:\n", - " continue\n", - "\n", - " # Takes a random data point from \"data\"\n", - " ri = torch.randint(low=0, high=n - 2, size=()).item()\n", - " single_point = data[0][ri : ri + 1, :]\n", - " init_point = {\n", - " var: single_point[0, i] for i, var in enumerate(self.var_names)\n", - " }\n", - "\n", - " pred = {\n", - " name: value.unsqueeze(0) for name, value in self.init_vars.items()\n", - " }\n", - "\n", - " pred = self.step_solver(init_point)\n", - "\n", - " predictions = torch.stack([pred[var] for var in self.outvar], dim=0)\n", - "\n", - " # Compare numerical integration data with next data point\n", - " loss = self.criterion(predictions, data[0][ri + 1, :])\n", - "\n", - " loss.backward(retain_graph=True)\n", - " optimizer.step()\n", - "\n", - " if scheduler is not None:\n", - " lr_scheduler.step()\n", - "\n", - " print(\"Epoch: \" + str(epoch) + \"\\t Loss: \" + str(loss))\n", - " print(self.coeffs)\n", - " # Testing to see that self.dnns changes\n", - " print(\"DNN(1)\", self.dnn(torch.Tensor([1.])))\n", - "\n", - " def _step(self, batch, batch_idx, num_batches):\n", - " (x,) = batch\n", - " nt = x.shape[0]\n", - " pred = self(nt)\n", - " return self.criterion(pred, x)" - ], - "execution_count": 3, - "outputs": [] + "try:\n", + " from torchts.nn.models.ode import ODESolver\n", + " from torchts.nn.models.hybridode import HybridODENet\n", + "except ModuleNotFoundError:\n", + " import sys\n", + " sys.path.append(\"../../..\")\n", + " from torchts.nn.models.ode import ODESolver\n", + " from torchts.nn.models.hybridode import HybridODENet" + ] }, { "cell_type": "code", + "execution_count": 3, "metadata": { "id": "vhzCXiGS7vcj" }, + "outputs": [], "source": [ "# Duffing equation: Second order ODE system\n", "dt = 0.01\n", @@ -382,9 +61,7 @@ "\n", "# Constants (Parameters)\n", "ode_coeffs = {\"a\": 0.1, \"b\": 0.5, \"d\": 0.2}" - ], - "execution_count": 4, - "outputs": [] + ] }, { "cell_type": "markdown", @@ -397,25 +74,27 @@ }, { "cell_type": "code", + "execution_count": 4, "metadata": { "id": "NwF7ddNl71cq" }, + "outputs": [], "source": [ - "ode_solver = ODEDNNSolver(\n", + "ode_solver = HybridODENet(\n", " ode=ode,\n", + " dnns={},\n", " init_vars=ode_init,\n", " init_coeffs=ode_coeffs,\n", " dt=dt,\n", - " solver=\"rk4\"\n", + " optimizer=None\n", ")\n", "\n", "result = ode_solver(1000)" - ], - "execution_count": 5, - "outputs": [] + ] }, { "cell_type": "code", + "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -424,28 +103,25 @@ "id": "UnDf8azV8W0p", "outputId": "6eca4784-0e7d-4537-95d8-94ec220d1156" }, - "source": [ - "result_np = result.detach().numpy() # Convert to numpy array\n", - "\n", - "# 2D plot of X and Z\n", - "plt.plot(result_np[:,2], result_np[:,0])\n", - "\n", - "plt.show()" - ], - "execution_count": 6, "outputs": [ { - "output_type": "display_data", "data": { - "image/png": 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\n", 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", "text/plain": [ - "
    " + "
    " ] }, - "metadata": { - "needs_background": "light" - } + "metadata": {}, + "output_type": "display_data" } + ], + "source": [ + "result_np = result.detach().numpy() # Convert to numpy array\n", + "\n", + "# 2D plot of X and Z\n", + "plt.plot(result_np[:,2], result_np[:,0])\n", + "\n", + "plt.show()" ] }, { @@ -459,38 +135,105 @@ }, { "cell_type": "code", + "execution_count": 6, "metadata": { "id": "87VAZZtR7-n1" }, + "outputs": [], "source": [ "def x_prime_prime_train(prev_val, coeffs, dnns):\n", - " return dnns(torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" - ], + " return dnns[\"f\"](torch.Tensor([prev_val[\"t\"]]))[0] - coeffs[\"d\"]*prev_val[\"x_\"] - coeffs[\"a\"]*prev_val[\"x\"] - coeffs[\"b\"]*prev_val[\"x\"]*prev_val[\"x\"]*prev_val[\"x\"]\n" + ] + }, + { + "cell_type": "code", "execution_count": 7, - "outputs": [] + "metadata": {}, + "outputs": [], + "source": [ + "dnns = {\"f\": nn.Sequential(\n", + " nn.Linear(1,10),\n", + " nn.ReLU(),\n", + " nn.Linear(10,1),\n", + " nn.Tanh()\n", + " )}" + ] }, { "cell_type": "code", + "execution_count": 14, "metadata": { "id": "dTx1Q0PV7-n2" }, + "outputs": [], "source": [ "ode_train_coeffs = {\"a\": 0., \"b\": 0., \"d\": 0.}\n", "ode_train = {\"x\": x_prime, \"x_\": x_prime_prime_train, \"t\": t_prime}\n", "\n", - "ode_solver_train = ODEDNNSolver(\n", + "ode_solver_train = HybridODENet(\n", " ode=ode_train,\n", + " dnns=dnns,\n", " init_vars=ode_init,\n", " init_coeffs=ode_train_coeffs,\n", " dt=dt,\n", - " solver=\"rk4\"\n", + " solver=\"euler\",\n", + " optimizer=torch.optim.Adam,\n", + " optimizer_args={\"lr\": 0.5},\n", + " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", + " scheduler_args={\"milestones\": [5],\"gamma\": 0.2}\n", ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "ode_solver_train.register_parameter(\"f0\", dnns[\"f\"][0].weight)\n", + "ode_solver_train.register_parameter(\"f2\", dnns[\"f\"][2].weight)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameter containing:\n", + "tensor(0., requires_grad=True)\n", + "Parameter containing:\n", + "tensor(0., requires_grad=True)\n", + "Parameter containing:\n", + "tensor(0., requires_grad=True)\n", + "Parameter containing:\n", + "tensor([[ 0.2142],\n", + " [-0.8496],\n", + " [ 0.5126],\n", + " [-0.8355],\n", + " [-0.4257],\n", + " [-0.9374],\n", + " [ 0.4995],\n", + " [-0.3751],\n", + " [-0.7042],\n", + " [-0.2644]], requires_grad=True)\n", + "Parameter containing:\n", + "tensor([[ 0.3312, 0.3463, 0.0904, 0.1946, -0.0459, -0.0237, 0.1171, 0.2378,\n", + " -0.0938, -0.1383]], requires_grad=True)\n" + ] + } ], - "execution_count": 8, - "outputs": [] + "source": [ + "for param in ode_solver_train.parameters():\n", + " print(param)" + ] }, { "cell_type": "code", + "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -498,147 +241,89 @@ "id": "67eN5ZyB7-n2", "outputId": "1588284b-d8f3-42ed-ff4e-0428b39394e8" }, - "source": [ - "ode_solver_train.fit_random_sample(\n", - " result,torch.optim.Adam,\n", - " {\"lr\": 0.02},\n", - " max_epochs=20,\n", - " scheduler=torch.optim.lr_scheduler.MultiStepLR,\n", - " scheduler_params={\"milestones\": [10],\"gamma\": 0.2}\n", - ")" - ], - "execution_count": 9, "outputs": [ { + "name": "stderr", "output_type": "stream", + "text": [ + "GPU available: False, used: False\n", + "TPU available: False, using: 0 TPU cores\n", + "IPU available: False, using: 0 IPUs\n", + "\n", + " | Name | Type | Params\n", + "------------------------------\n", + "------------------------------\n", + "23 Trainable params\n", + "0 Non-trainable params\n", + "23 Total params\n", + "0.000 Total estimated model params size (MB)\n" + ] + }, + { "name": "stdout", + "output_type": "stream", "text": [ - "Epoch: 0\t Loss: tensor(6.2093e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1419, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.1420, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0721, requires_grad=True)}\n", - "DNN(1) tensor([0.2365], grad_fn=)\n", - "Epoch: 1\t Loss: tensor(2.0705e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2504, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2516, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1099, requires_grad=True)}\n", - "DNN(1) tensor([0.1373], grad_fn=)\n", - "Epoch: 2\t Loss: tensor(2.1068e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2731, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.2960, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.1083, requires_grad=True)}\n", - "DNN(1) tensor([0.2051], grad_fn=)\n", - "Epoch: 3\t Loss: tensor(2.6809e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2646, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3165, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0769, requires_grad=True)}\n", - "DNN(1) tensor([0.3410], grad_fn=)\n", - "Epoch: 4\t Loss: tensor(2.4307e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2557, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3321, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0659, requires_grad=True)}\n", - "DNN(1) tensor([0.2867], grad_fn=)\n", - "Epoch: 5\t Loss: tensor(2.1748e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.2179, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3312, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0237, requires_grad=True)}\n", - "DNN(1) tensor([0.4414], grad_fn=)\n", - "Epoch: 6\t Loss: tensor(2.6169e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1903, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3348, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0237, requires_grad=True)}\n", - "DNN(1) tensor([0.3845], grad_fn=)\n", - "Epoch: 7\t Loss: tensor(1.6772e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1749, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3486, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0295, requires_grad=True)}\n", - "DNN(1) tensor([0.4565], grad_fn=)\n", - "Epoch: 8\t Loss: tensor(3.1222e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1566, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3485, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0641, requires_grad=True)}\n", - "DNN(1) tensor([0.2051], grad_fn=)\n", - "Epoch: 9\t Loss: tensor(5.5046e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1387, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3774, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0270, requires_grad=True)}\n", - "DNN(1) tensor([0.4718], grad_fn=)\n", - "Epoch: 10\t Loss: tensor(8.6054e-06, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1340, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3802, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0232, requires_grad=True)}\n", - "DNN(1) tensor([0.4493], grad_fn=)\n", - "Epoch: 11\t Loss: tensor(1.7816e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1227, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3761, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0155, requires_grad=True)}\n", - "DNN(1) tensor([0.4175], grad_fn=)\n", - "Epoch: 12\t Loss: tensor(1.5981e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1157, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3760, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0098, requires_grad=True)}\n", - "DNN(1) tensor([0.4440], grad_fn=)\n", - "Epoch: 13\t Loss: tensor(1.0512e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1122, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3779, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0064, requires_grad=True)}\n", - "DNN(1) tensor([0.4677], grad_fn=)\n", - "Epoch: 14\t Loss: tensor(1.4457e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1096, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3788, requires_grad=True), 'd': Parameter containing:\n", - "tensor(-0.0031, requires_grad=True)}\n", - "DNN(1) tensor([0.4644], grad_fn=)\n", - "Epoch: 15\t Loss: tensor(1.2071e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.1031, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3770, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0009, requires_grad=True)}\n", - "DNN(1) tensor([0.4661], grad_fn=)\n", - "Epoch: 16\t Loss: tensor(1.5328e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0963, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3764, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0040, requires_grad=True)}\n", - "DNN(1) tensor([0.4691], grad_fn=)\n", - "Epoch: 17\t Loss: tensor(1.4537e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0909, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3771, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0068, requires_grad=True)}\n", - "DNN(1) tensor([0.4822], grad_fn=)\n", - "Epoch: 18\t Loss: tensor(1.4585e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0887, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3810, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0104, requires_grad=True)}\n", - "DNN(1) tensor([0.4979], grad_fn=)\n", - "Epoch: 19\t Loss: tensor(1.1779e-05, grad_fn=)\n", - "{'a': Parameter containing:\n", - "tensor(0.0851, requires_grad=True), 'b': Parameter containing:\n", - "tensor(0.3836, requires_grad=True), 'd': Parameter containing:\n", - "tensor(0.0162, requires_grad=True)}\n", - "DNN(1) tensor([0.5046], grad_fn=)\n" + "Epoch 0: 0%| | 0/1 [00:00\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m ode_solver_train.fit(\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mmax_epochs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m )\n", + "\u001b[0;32m~/Documents/GitHub/torchTS/examples/ode/DuffingEquation/../../../torchts/nn/model.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, x, y, max_epochs, batch_size)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[0mloader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataLoader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshuffle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[0mtrainer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTrainer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmax_epochs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 59\u001b[0;31m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mloader\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 60\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mprepare_batch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbatch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, model, train_dataloaders, val_dataloaders, datamodule, train_dataloader, ckpt_path)\u001b[0m\n\u001b[1;32m 735\u001b[0m )\n\u001b[1;32m 736\u001b[0m \u001b[0mtrain_dataloaders\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain_dataloader\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 737\u001b[0;31m self._call_and_handle_interrupt(\n\u001b[0m\u001b[1;32m 738\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fit_impl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrain_dataloaders\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mval_dataloaders\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdatamodule\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mckpt_path\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 739\u001b[0m )\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_call_and_handle_interrupt\u001b[0;34m(self, trainer_fn, *args, **kwargs)\u001b[0m\n\u001b[1;32m 680\u001b[0m \"\"\"\n\u001b[1;32m 681\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 682\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mtrainer_fn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 683\u001b[0m \u001b[0;31m# TODO: treat KeyboardInterrupt as BaseException (delete the code below) in v1.7\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 684\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mKeyboardInterrupt\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mexception\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_fit_impl\u001b[0;34m(self, model, train_dataloaders, val_dataloaders, datamodule, ckpt_path)\u001b[0m\n\u001b[1;32m 770\u001b[0m \u001b[0;31m# TODO: ckpt_path only in v1.7\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 771\u001b[0m \u001b[0mckpt_path\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mckpt_path\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresume_from_checkpoint\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 772\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_run\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mckpt_path\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mckpt_path\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 773\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 774\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstopped\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_run\u001b[0;34m(self, model, ckpt_path)\u001b[0m\n\u001b[1;32m 1192\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1193\u001b[0m \u001b[0;31m# dispatch `start_training` or `start_evaluating` or `start_predicting`\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1194\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dispatch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1195\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1196\u001b[0m \u001b[0;31m# plugin will finalized fitting (e.g. ddp_spawn will load trained model)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in \u001b[0;36m_dispatch\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 1272\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtraining_type_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_predicting\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1273\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1274\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtraining_type_plugin\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstart_training\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1275\u001b[0m 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loop\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 202\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_results\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun_stage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 203\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 204\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mstart_evaluating\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrainer\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m\"pl.Trainer\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/trainer/trainer.py\u001b[0m in 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"\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/loops/optimization/optimizer_loop.py\u001b[0m in \u001b[0;36mbackward_fn\u001b[0;34m(loss)\u001b[0m\n\u001b[1;32m 325\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 326\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mbackward_fn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mloss\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mTensor\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 327\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrainer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maccelerator\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mloss\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moptimizer\u001b[0m\u001b[0;34m,\u001b[0m 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"\u001b[0;32m/opt/anaconda3/envs/torchTS/lib/python3.9/site-packages/pytorch_lightning/core/lightning.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(self, loss, optimizer, optimizer_idx, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1432\u001b[0m \u001b[0mloss\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1433\u001b[0m \"\"\"\n\u001b[0;32m-> 1434\u001b[0;31m \u001b[0mloss\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1435\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1436\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mtoggle_optimizer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m 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\u001b[0mretain_graph\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 130\u001b[0;31m Variable._execution_engine.run_backward(\n\u001b[0m\u001b[1;32m 131\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 132\u001b[0m allow_unreachable=True) # allow_unreachable flag\n", + "\u001b[0;31mRuntimeError\u001b[0m: Trying to backward through the graph a second time, but the saved intermediate results have already been freed. Specify retain_graph=True when calling backward the first time." ] } + ], + "source": [ + "ode_solver_train.fit(\n", + " result,result,\n", + " max_epochs=1,\n", + " batch_size=result.shape[0]\n", + ")" ] }, { "cell_type": "code", + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -647,8 +332,9 @@ "id": "IOMjwKY27-n2", "outputId": "1e8218d2-8200-4b08-9ae5-ec7152cfe18d" }, + "outputs": [], "source": [ - "result = ode_solver_train(1000)\n", + "result_train = ode_solver_train(1000)\n", "\n", "result_np = result.detach().numpy() # Convert to numpy array\n", "\n", @@ -656,21 +342,6 @@ "plt.plot(result_np[:,2], result_np[:,0])\n", "\n", "plt.show()" - ], - "execution_count": 10, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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    " - ] - }, - "metadata": { - "needs_background": "light" - } - } ] }, { @@ -684,25 +355,7 @@ }, { "cell_type": "code", - "metadata": { - "id": "kwktnR93ripb" - }, - "source": [ - "ode_solver = ODEDNNSolver(\n", - " ode=ode,\n", - " init_vars=ode_init,\n", - " init_coeffs=ode_coeffs,\n", - " dt=dt,\n", - " solver=\"rk4\"\n", - ")\n", - "\n", - "result_train = ode_solver(1000)" - ], - "execution_count": 11, - "outputs": [] - }, - { - "cell_type": "code", + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -710,23 +363,36 @@ "id": "aVYankyRrwoW", "outputId": "bc16f6f1-c234-44cb-c9e6-ce0b4f5e8f45" }, + "outputs": [], "source": [ "loss = torch.nn.MSELoss()\n", "loss(result_train,result)" - ], - "execution_count": 12, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "tensor(0.0529, grad_fn=)" - ] - }, - "metadata": {}, - "execution_count": 12 - } ] } - ] + ], + "metadata": { + "colab": { + "name": "DuffingTest_DNN.ipynb", + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 } diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index a4d6d6a1..14a68473 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -48,7 +48,7 @@ def euler(self, nt): prev_val = {var: pred[var][[n]] for var in self.var_names} for var in self.var_names: - new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt + new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt pred[var] = torch.cat([pred[var], new_val]) # reformat output to contain desired (observed) variables diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 76933707..9093f159 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -52,7 +52,7 @@ def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} def _step(self, batch, batch_idx, num_batches): - (x,) = batch + (x,_) = batch nt = x.shape[0] pred = self(nt) return self.criterion(pred, x) From 5fdbacf3397fc1cb0cd41e036e4c3f010ef96c65 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Mon, 20 Dec 2021 02:40:41 +0000 Subject: [PATCH 70/73] Add pre-commit fixes --- torchts/nn/models/hybridode.py | 5 ++++- torchts/nn/models/ode.py | 2 +- 2 files changed, 5 insertions(+), 2 deletions(-) diff --git a/torchts/nn/models/hybridode.py b/torchts/nn/models/hybridode.py index 14a68473..66d2b913 100644 --- a/torchts/nn/models/hybridode.py +++ b/torchts/nn/models/hybridode.py @@ -48,7 +48,10 @@ def euler(self, nt): prev_val = {var: pred[var][[n]] for var in self.var_names} for var in self.var_names: - new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + new_val = ( + prev_val[var] + + self.ode[var](prev_val, self.coeffs, self.dnns) * self.dt + ) pred[var] = torch.cat([pred[var], new_val]) # reformat output to contain desired (observed) variables diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 9093f159..6e217b06 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -52,7 +52,7 @@ def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} def _step(self, batch, batch_idx, num_batches): - (x,_) = batch + (x, _) = batch nt = x.shape[0] pred = self(nt) return self.criterion(pred, x) From bf145373d3fdba9e356a8f3f8dffe40d57644d74 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Wed, 11 May 2022 17:09:37 +0900 Subject: [PATCH 71/73] Update ode.py --- torchts/nn/models/ode.py | 117 ++++++++++++++++++++++++++++++++++++--- 1 file changed, 109 insertions(+), 8 deletions(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index 6e217b06..82455e9e 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -8,13 +8,25 @@ class ODESolver(TimeSeriesModel): def __init__( self, ode, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs ): + """TimeSeriesModel for modeling ordinary differential equations. + Args: + ode (dict): ODE in dictionary form + init_vars (dict): Initial values for each variable + init_coeffs (dict): Initial values for each parameter + dt (float): Time step + solver (str): Numerical method for solving the ODE ("euler"/"rk4") + outvar (list): Observed variables + kwargs (Any): Additional arguments passed to TimeSeriesModel + """ super().__init__(**kwargs) if ode.keys() != init_vars.keys(): raise ValueError("Inconsistent keys in ode and init_vars") if solver == "euler": - self.solver = self.euler + self.step_solver = self._euler_step + elif solver == "rk4": + self.step_solver = self._runge_kutta_4_step else: raise ValueError(f"Unrecognized solver {solver}") @@ -29,22 +41,96 @@ def __init__( } self.coeffs = {name: param for name, param in self.named_parameters()} self.outvar = self.var_names if outvar is None else outvar + + # determines method of training + self.observed = set(self.outvar) == set(self.var_names) + self.dt = dt - def euler(self, nt): + def _euler_step(self, prev_val): + """Computes a single step of the ODE using Euler's method. + Args: + prev_val (dict): Previous values for each variable + Returns: + dict: Euler's method step prediction + """ + pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + + for var in self.var_names: + pred[var] = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt + + return pred + + def _runge_kutta_4_step(self, prev_val): + """Computes a single step of the ODE using a 4th order Runge-Kutta method. + Args: + prev_val (dict): Previous values for each variable + Returns: + dict: 4th order Runge-Kutta method step prediction + """ pred = {name: value.unsqueeze(0) for name, value in self.init_vars.items()} + k_1 = prev_val + k_2 = {} + k_3 = {} + k_4 = {} + + for var in self.var_names: + k_2[var] = prev_val[var] + self.ode[var](k_1, self.coeffs) * 0.5 * self.dt + + for var in self.var_names: + k_3[var] = prev_val[var] + self.ode[var](k_2, self.coeffs) * 0.5 * self.dt + + for var in self.var_names: + k_4[var] = prev_val[var] + self.ode[var](k_3, self.coeffs) * self.dt + + for var in self.var_names: + result = self.ode[var](k_1, self.coeffs) / 6 + result += self.ode[var](k_2, self.coeffs) / 3 + result += self.ode[var](k_3, self.coeffs) / 3 + result += self.ode[var](k_4, self.coeffs) / 6 + pred[var] = prev_val[var] + result * self.dt + + return pred + + def solver(self, nt, initial=None): + """Numerical simulation of the ODE using the selected solver method. + Args: + nt (int): Number of time-steps + initial (dict): Initial values for each variable + Returns: + dict: Prediction of each variable after nt time steps + """ + if initial is None: + initial = self.init_vars + + pred = {name: value.unsqueeze(0) for name, value in initial.items()} + for n in range(nt - 1): # create dictionary containing values from previous time step prev_val = {var: pred[var][[n]] for var in self.var_names} + new_val = self.step_solver(prev_val) for var in self.var_names: - new_val = prev_val[var] + self.ode[var](prev_val, self.coeffs) * self.dt - pred[var] = torch.cat([pred[var], new_val]) + pred[var] = torch.cat([pred[var], new_val[var]]) # reformat output to contain desired (observed) variables return torch.stack([pred[var] for var in self.outvar], dim=1) + def fit(self, x, y, max_epochs=10, batch_size=128): + """Fits the model to the given data. + Args: + x (torch.Tensor): Input data + y (torch.Tensor): Output data + max_epochs (int): Number of training epochs + batch_size (int): Batch size for torch.utils.data.DataLoader + Set to x.shape[0] if unobserved variables are present + """ + if self.observed: + super().fit(x, y, max_epochs, batch_size) + else: + super().fit(x, y, max_epochs, x.shape[0]) + def forward(self, nt): return self.solver(nt) @@ -52,7 +138,22 @@ def get_coeffs(self): return {name: param.item() for name, param in self.named_parameters()} def _step(self, batch, batch_idx, num_batches): - (x, _) = batch - nt = x.shape[0] - pred = self(nt) - return self.criterion(pred, x) + x, y = self.prepare_batch(batch) + + if self.observed: + # retrieve numerical simulation of single time-steps for each datapoint + self.zero_grad() + init_point = {var: x[:, i] for i, var in enumerate(self.outvar)} + pred = self.step_solver(init_point) + predictions = torch.stack([pred[var] for var in self.outvar], dim=1) + else: + # retrieve numerical simulation of the whole dataset + nt = x.shape[0] + predictions = self(nt) + + loss = self.criterion(predictions, y) + return loss + + def backward(self, loss, optimizer, optimizer_idx): + # use retain_graph=True to mitigate RuntimeError + loss.backward(retain_graph=True) \ No newline at end of file From eb411c7982452c84792410fd4096d36d31b42ee9 Mon Sep 17 00:00:00 2001 From: amartyamukherjee Date: Wed, 11 May 2022 17:15:26 +0900 Subject: [PATCH 72/73] Update ode.py --- torchts/nn/models/ode.py | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index cb0a6883..f90c8878 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -9,6 +9,7 @@ def __init__( self, ode, init_vars, init_coeffs, dt, solver="euler", outvar=None, **kwargs ): """TimeSeriesModel for modeling ordinary differential equations. + Args: ode (dict): ODE in dictionary form init_vars (dict): Initial values for each variable @@ -49,8 +50,10 @@ def __init__( def _euler_step(self, prev_val): """Computes a single step of the ODE using Euler's method. + Args: prev_val (dict): Previous values for each variable + Returns: dict: Euler's method step prediction """ @@ -63,8 +66,10 @@ def _euler_step(self, prev_val): def _runge_kutta_4_step(self, prev_val): """Computes a single step of the ODE using a 4th order Runge-Kutta method. + Args: prev_val (dict): Previous values for each variable + Returns: dict: 4th order Runge-Kutta method step prediction """ @@ -95,9 +100,11 @@ def _runge_kutta_4_step(self, prev_val): def solver(self, nt, initial=None): """Numerical simulation of the ODE using the selected solver method. + Args: nt (int): Number of time-steps initial (dict): Initial values for each variable + Returns: dict: Prediction of each variable after nt time steps """ @@ -119,6 +126,7 @@ def solver(self, nt, initial=None): def fit(self, x, y, max_epochs=10, batch_size=128): """Fits the model to the given data. + Args: x (torch.Tensor): Input data y (torch.Tensor): Output data From cf9f9a4553879e0a673061906129e6c731cc9a9f Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Wed, 11 May 2022 08:15:36 +0000 Subject: [PATCH 73/73] Add pre-commit fixes --- torchts/nn/models/ode.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/torchts/nn/models/ode.py b/torchts/nn/models/ode.py index f90c8878..973b3eea 100644 --- a/torchts/nn/models/ode.py +++ b/torchts/nn/models/ode.py @@ -126,7 +126,7 @@ def solver(self, nt, initial=None): def fit(self, x, y, max_epochs=10, batch_size=128): """Fits the model to the given data. - + Args: x (torch.Tensor): Input data y (torch.Tensor): Output data

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