diff --git a/setup.py b/setup.py index f8d51ecc..a441fbae 100644 --- a/setup.py +++ b/setup.py @@ -6,7 +6,7 @@ setuptools.setup( name="pykan", - version="0.2.3", + version="0.2.4", author="Ziming Liu", author_email="zmliu@mit.edu", description="Kolmogorov Arnold Networks", diff --git a/tutorials/.ipynb_checkpoints/API_10_device-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_10_device-checkpoint.ipynb deleted file mode 100644 index 99b43ede..00000000 --- a/tutorials/.ipynb_checkpoints/API_10_device-checkpoint.ipynb +++ /dev/null @@ -1,173 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 10: Device\n", - "\n", - "All other demos have by default used device = 'cpu'. In case we want to use cuda, we should pass the device argument to model and dataset." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "7a4ac1e1-84ba-4bc3-91b6-a776a5e7711c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cpu\n" - ] - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "torch.use_deterministic_algorithms(False)\n", - "\n", - "#device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", - "device = 'cpu'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:19<00:00, 2.62it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2f182cc1-51bf-4151-a253-a52fe854919e", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f6f8125e-d26d-4c97-9e5f-988099bb4737", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cuda\n" - ] - } - ], - "source": [ - "device = 'cuda'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "95017dfa-3a2a-43e0-8b68-fb220ca5abc9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:01<00:00, 26.90it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8230d562-2635-4adc-b566-06ac679b166a", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.16" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_7_pruning-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_7_pruning-checkpoint.ipynb deleted file mode 100644 index 282d48dd..00000000 --- a/tutorials/.ipynb_checkpoints/API_7_pruning-checkpoint.ipynb +++ /dev/null @@ -1,277 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 7: Pruning\n", - "\n", - "We usually use pruning to make neural networks sparser hence more efficient and more interpretable. KANs provide two ways of pruning: automatic pruning, and manual pruning." - ] - }, - { - "cell_type": "markdown", - "id": "7fd6a742", - "metadata": {}, - "source": [ - "## Pruning nodes" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.57e-02 | test loss: 3.54e-02 | reg: 4.32e+00 : 100%|██| 20/20 [00:10<00:00, 1.83it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "280cc49f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mode = 'auto'\n", - "\n", - "if mode == 'auto':\n", - " # automatic\n", - " model = model.prune_node(threshold=1e-2) # by default the threshold is 1e-2\n", - " model.plot()\n", - "elif mode == 'manual':\n", - " # manual\n", - " model = model.prune_node(active_neurons_id=[[0]])" - ] - }, - { - "cell_type": "markdown", - "id": "cf7001ab", - "metadata": {}, - "source": [ - "## Pruning Edges" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "b58417be", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.02e-02 | test loss: 6.10e-02 | reg: 5.11e+00 : 100%|████| 6/6 [00:04<00:00, 1.36it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=6, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "4d57cbfe", - "metadata": {}, - "outputs": [], - "source": [ - "model.prune_edge()" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "e3a23aed", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "1db74fbd", - "metadata": {}, - "source": [ - "## Prune nodes and edges together" - ] - }, - { - "cell_type": "markdown", - "id": "4e7e2c8a", - "metadata": {}, - "source": [ - "just use model.prune()" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "1ea08f0e", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.57e-02 | test loss: 3.54e-02 | reg: 4.32e+00 : 100%|██| 20/20 [00:11<00:00, 1.71it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "4fc161de", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5a8dd8a8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_9_video-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_9_video-checkpoint.ipynb deleted file mode 100644 index 732d522d..00000000 --- a/tutorials/.ipynb_checkpoints/API_9_video-checkpoint.ipynb +++ /dev/null @@ -1,130 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 9: Videos\n", - "\n", - "We have shown one can visualize KAN with the plot() method. If one wants to save the training dynamics of KAN plots, one only needs to pass argument save_video = True to train() method (and set some video related parameters)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e-02 | test loss: 1.48e-02 | reg: 3.83e+00 : 100%|██| 50/50 [01:44<00:00, 2.09s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=1)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "image_folder = 'video_img'\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"LBFGS\", steps=50, lamb=0.002, lamb_entropy=2., save_fig=True, beta=10, \n", - " in_vars=[r'$x_1$', r'$x_2$', r'$x_3$', r'$x_4$'],\n", - " out_vars=[r'${\\rm exp}({\\rm sin}(x_1^2+x_2^2)+{\\rm sin}(x_3^2+x_4^2))$'],\n", - " img_folder=image_folder);\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c18245a3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moviepy - Building video video.mp4.\n", - "Moviepy - Writing video video.mp4\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " \r" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moviepy - Done !\n", - "Moviepy - video ready video.mp4\n" - ] - } - ], - "source": [ - "import os\n", - "import numpy as np\n", - "import moviepy.video.io.ImageSequenceClip # moviepy == 1.0.3\n", - "\n", - "video_name='video'\n", - "fps=5\n", - "\n", - "fps = fps\n", - "files = os.listdir(image_folder)\n", - "train_index = []\n", - "for file in files:\n", - " if file[0].isdigit() and file.endswith('.jpg'):\n", - " train_index.append(int(file[:-4]))\n", - "\n", - "train_index = np.sort(train_index)\n", - "\n", - "image_files = [image_folder+'/'+str(train_index[index])+'.jpg' for index in train_index]\n", - "\n", - "clip = moviepy.video.io.ImageSequenceClip.ImageSequenceClip(image_files, fps=fps)\n", - "clip.write_videofile(video_name+'.mp4')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "88d0d737", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_12_unsupervised_learning-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_12_unsupervised_learning-checkpoint.ipynb deleted file mode 100644 index c2baacef..00000000 --- a/tutorials/.ipynb_checkpoints/Example_12_unsupervised_learning-checkpoint.ipynb +++ /dev/null @@ -1,324 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 12: Unsupervised learning" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will use KAN for unsupervised learning. Instead of trying to figure out how a target variable $y$ depends on input variables, we treat all variables on the equal footing (as input variables). Below we contruct a synthetic dataset where we have six variables $x_1, x_2, x_3, x_4, x_5, x_6$. $(x_1, x_2, x_3)$ are dependent such that $x_3={\\rm exp}({\\rm sin}(\\pi x_1)+x_2^2)$; $(x_4,x_5)$ are dependent such that $x_5=x_4^3$. And $x_6$ is independent of all other variables. Can we use KANs to discover these dependent groups?\n", - "\n", - "The idea is that we treat the problem as a classification problem. The dataset that satisfies these interdependent relations are 'positive' samples, while corrupted samples (by random permutation of features across samples) are 'negative' samples. We want to train a KAN to output 1 when it is a positive sample, and output 0 when it is a negative sample. We set the last layer activation to be Gaussian, so positive samples will have zero activation in the second to last layer, while negtive samples will have non-zero activation in the second to last layer. We can then define the relation implicitly as $g=0$ where $g$ is the activation in the second to last layer." - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import KAN\n", - "import torch\n", - "import copy\n", - "\n", - "\n", - "seed = 1\n", - "\n", - "model = KAN(width=[6,1,1], grid=3, k=3, seed=seed)\n", - "\n", - "# create dataset\n", - "\n", - "\n", - "def create_dataset(train_num=500, test_num=500):\n", - " \n", - " def generate_contrastive(x):\n", - " # positive samples\n", - " batch = x.shape[0]\n", - " x[:,2] = torch.exp(torch.sin(torch.pi*x[:,0])+x[:,1]**2)\n", - " x[:,3] = x[:,4]**3\n", - "\n", - " # negative samples\n", - " def corrupt(tensor):\n", - " y = copy.deepcopy(tensor)\n", - " for i in range(y.shape[1]):\n", - " y[:,i] = y[:,i][torch.randperm(y.shape[0])]\n", - " return y\n", - "\n", - " x_cor = corrupt(x)\n", - " x = torch.cat([x, x_cor], dim=0)\n", - " y = torch.cat([torch.ones(batch,), torch.zeros(batch,)], dim=0)[:,None]\n", - " return x, y\n", - " \n", - " x = torch.rand(train_num, 6) * 2 - 1\n", - " x_train, y_train = generate_contrastive(x)\n", - " \n", - " x = torch.rand(test_num, 6) * 2 - 1\n", - " x_test, y_test = generate_contrastive(x)\n", - " \n", - " dataset = {}\n", - " dataset['train_input'] = x_train\n", - " dataset['test_input'] = x_test\n", - " dataset['train_label'] = y_train\n", - " dataset['test_label'] = y_test\n", - " return dataset\n", - "\n", - "dataset = create_dataset()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "79665292", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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xcWYvG5G1Y7cY0V9ITEzEkiVLsGbNGpSUlMDV1RVjxozBCy+8wBYL0S0wXIjqyTAOw/EVor/GbjEiIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2aksXQAia1dQUIAjR45g27ZtAIBNmzbB3t4eYWFhUKvVFi4dkXWShBDC0oUgskYVFRX46quvEBcXh6KiIgQGBsLR0REFBQXIz89H7969MXfuXPTo0cPSRSWyOgwXopsoKirCtGnTsHPnTkyfPh2PPfYYtFotdDqdMWDi4uKwc+dOfPLJJxgxYgQkSbJ0sYmsBsOF6AZarRYzZszAxo0b8c033yAyMhKVlZUYOHAgTp8+jeeeew4LFy5ETU0Nli1bho8//hhr1qzBXXfdZemiE1kNDugT3eD333/HypUrsXDhQkRFRUGhUEAIgfLycpSWlqKyshIAYGdnh8mTJ2PkyJF46623UFVVZeGSE1kPhgvRdYQQ+Pe//41evXph+PDhf9nVpVarMX36dJw8eRJJSUlmKiWR9eNsMaLrlJeX4+DBg5g4cSK2bduGrKwsAEB1dTUKCgoAACdOnMAXX3wBAJAkCUOGDEHHjh2xf/9+do0R/RfDheg6ZWVlKCwsRFBQEOLi4rB169Y6j0lISEBCQgIAQKlUYtOmTQgKCsKFCxfMXVwiq8VwIQJQWVmJzMxMHDt2DFVVVaiqqoKLiwvc3d2NjykuLoZer4e9vT2cnJwAXAsXlUqFyspKFBYWIj09HUFBQZw5Ri0eZ4tRiyKEwKVLl5CRkVHrT05ODq5evYrS0lIkJSVh8uTJmDlzpnHw/urVq4iJiUFKSgrGjRuHd9991/iczs7OGDx4MBITE6FUKuHi4oIuXbqgS5cu6Nq1K7p06YLOnTvDxcXFUpdNZHZsuVCzdfXqVWN4pKenIyMjA5mZmcbAcHJygouLC5RKJdq2bQuNRgNfX18EBgYiPj4eM2fORGBgIIBrYzGG1fjOzs4ICAiAJEkQQmDXrl04e/YshBDQarXQaDQoLi7Gtm3b8OWXX0Kn0wEA2rVrZwybLl26oFu3bmjXrh0UCs6roeaH4UI2T6/XIzc3t05rJC8vD8C1ris/Pz8EBwejU6dOEEKgoqICV65cgRACXl5eCA0NRWhoKHx8fJCRkYHIyEgsWLAA7733Huzs7G76ukIIXLlyBW+//Taef/55zJo1C1u2bEF8fDy2bNmCkpIS+Pv7o1+/fggMDIROp8OpU6ewdOlSXL58GcC1gOvcubMxbAytHDc3N3NVH5FJsFuMbEp5eXmtloihNVJdXQ0AcHNzQ1BQEIKCghAcHIzAwEAIIXD+/HmkpKTgypUrUCqVCA4ONgaKq6trrddYv349xowZA7VajZdffhkzZ86EnZ0dRo8ejdTUVDz55JN48803cf78ebz44os4duwY/vjjD2MrB7g2u2zPnj2Ij49HfHw8zp07B41Gg/vvvx8xMTHo3bs3cnNzkZSUhOTkZCQlJeHUqVOoqakBAAQGBtZq5XTt2hUdOnSAUqk0X2UTNQHDhaySTqdDTk5OndbIlStXAAAqlQoBAQHGIDH8adWqFaqqqnDu3DmkpKQgNTUVV69ehUajQYcOHRAaGop27drdsjWyfPlyTJkyBaNGjcLw4cPx9ttvw9fXF2PHjkVERAScnJxQWFiIvXv3YuXKlfD19UVlZSXCw8Px6aefwsPDo85zCiFw6tQp/PLLL4iPj8e+ffsAAL1790ZMTAxiYmLQpUsXaLVanDlzxhg4htDJyckBADg4OKBTp07GsOnatSs6d+4MT09PE/0WiBqP4UIWV1paWqslkpGRgaysLONdvIeHh7ElYggRX1/fWnfxxcXFOHv2LFJSUpCRkQG9Xo+2bdsaWye+vr63ncElhMC7776LN998E1OnTsVnn30GpVKJlJQULFu2DFu2bDEGm52dHTp27Iinn34aI0aMQFZWFl588UVoNBosXrwYfn5+t73ey5cvY9OmTYiPj8fWrVtRVlaGoKAgY9AMGDAA9vb2tR5//PhxJCcn49ixY0hOTsbJkyeNOwL4+fnVmjzQtWtXhIaGcsdmsiiGC5mNTqdDdnZ2rRBJT09HYWEhgGur3QMDA+t0a91slpUQAhcvXjQGyuXLl6FQKGp1d7Vq1are5Zo+fTq++OILzJs3D2+88UadICorK0N+fj5qamrg4uICT09PqFT/G7LMzs7G9OnTUV5ejsWLFyMsLKxer11VVYXdu3cbu88yMjLg7OyMBx54ADExMRg2bBjatGlT5+e0Wi1SU1ONYWP4Y1j0aWdnh4iIiDpdazd7LiJTYLiQSRQVFdXp0srKyjLOnGrdunWtlkhQUBB8fHxuO3Oqurq6VndXRUUFnJycjN1dISEht+zuupXKykqMHTsWP//8M5YuXYrnnnuu0ddcUFCAGTNmICMjAwsXLsSdd97ZoJ8XQuD48ePGoDlw4AAAoF+/fsZWTURExG1bYAUFBcZWTlJSEpKSknDixAlcvXoVAODt7V0rbLp27Yrw8PAG1xvRX2G4UJPU1NTUao0YureKi4sBAPb29sbWiCFMAgMDodFo6vX8JSUlSElJQUpKCtLT06HT6dC6dWuEhoYiLCwMfn5+jV6wWFxcjBEjRuDAgQP44Ycf8NBDDzXqea5XUVGBV199FYmJiXjnnXcwaNCgRj/XpUuXsHHjRsTHx2Pbtm2oqKhAu3btjEHTv3//eoWCTqfDuXPnjGFjCJ6MjAwA18av7rjjDuNsNcMfb29vLgalRmO4UL0IIVBYWFinNZKdnW1sjXh5edVqiQQHB8PLy6tBX1BCCOTk5BgD5dKlS1AoFAgMDDQGihzTdC9evIihQ4ciKysL8fHxiIqKavJzGtTU1OCdd97B1q1bMXPmTDz66KNNfs7Kykr89ttvxlbNhQsX4OrqiiFDhiAmJgZDhw5t8MB+cXFxrVaOoWutvLwcANCmTZs6i0E7duwIBweHJl8PNX8MF6qjuroaFy5cqDPIXlpaCgBwdHSsM0vLcEpjY9TU1BinCqempqKsrAyOjo5o3749wsLCEBISUmuAu6nOnDmDBx54ADqdDlu2bEGnTp1ke24DvV6PRYsW4bvvvsOECRMwZcoU2VoBQggcO3bMGDSHDh2CQqFAVFSUsVUTHh7eqNfT6/VIT0+vFTbHjh3DuXPnAFxbMxQWFlZr8kCXLl2a1IKk5onh0oIJIZCfn1+nS+vixYsQQkCSJHh7e9eZqdWmTZsmf5GUlJQgNTXV2N2l1Wrh6elZq7vLFCvXDx48iGHDhqFt27bYunUrAgICZH+N63377bf47LPP8NBDD2H27NkmWaeSk5Nj7D7bvn07rl69ig4dOhiD5u67727yzLGysjKcOHGi1oy15ORklJSUAADc3d1rjeN06dLFOHWbWiaGSwtRVVWFzMzMOt1ahi4QjUZTp0srICBAthaDEAK5ubnG7q7c3FxIkmTs7goNDb3pGhE5bd68GaNHj0a3bt2wYcMGk7+ewaZNm/DOO+8gMjIS77//vkm7la5evYodO3YgPj4eGzZswMWLF+Hm5lar++z6zTibQgiBzMzMOutyUlJSIISAQqFAhw4d6sxYCwwMZCunBWC4NDNCCFy+fLnOKvbc3Fxja8TX17fOTC1PT0/ZP/BarbZWd1dpaSkcHBzQvn17hIaGon379mbrv//6668xceJEDBkyBD/88IPZ76j37duHV199FaGhofj000/r7ApgCkIIJCYmGrvPDBtr3n333XjooYcQExOD0NBQ2V+3oqICJ0+erDVjLTk52Tjl3NXVtdb+al26dEGnTp3g7Owse1nIchguNuzq1au1WiPp6enIzMw0Tjt1dnY2hojhb39/f5NOOy0rKzO2Ts6fPw+tVgsPDw9j6yQgIMCsGzUKIfDxxx/j1VdfxYQJE7B06dJa61PM6cSJE5gxYwbc3d2xePFieHl5mfX1s7OzsWHDBsTHx2PHjh3GnQUM3WeRkZEmqxshBLKzs2tNHkhKSsLZs2eNE0JCQkJqzVjr2rUrgoODubGnjWK42ADDNvE3DrBfunQJwP82ZrxxkN3d3d0s3Q/Xd3fl5ORAkiT4+/sjLCwMoaGhFtueRK/XY+bMmfjkk0/wxhtvYN68eRbvjsnMzMS0adOg1Wrx+eefIyQkxCLlKC8vr9V9lpubCw8PDwwdOhQxMTEYMmRIvRehNkVlZSVOnTpVJ3QMuyE4OzsbN/a8fssbc7T8qGkYLlamvLzc2Bq5fpt4w1YfrVq1qtOl5efnZ9atPrRaLTIyMnD27FmkpqaipKQE9vb2CAkJQVhYGNq3b9/omWNyqa6uxrPPPouVK1di0aJFmDZtmkXLc73Lly/jpZdeQm5uLj755BN069bNouXR6/X4888/jd1nx44dg0qlQv/+/Y2tmvbt25utPIbxuevHcZKSknD69GlotVoAQFBQUK3JA127dkVISAg39rQiDBcL0ev1dTZmTE9PN96xKZXKm27MaKmt2MvLy42zu86dO4eamhq4ubkZWycBAQFW88EuLS3F6NGjsWvXLnz77bcYM2aMpYtUR1lZGV555RUcP34c8+fPR//+/S1dJKPMzExj99nOnTtRXV2Njh07Gsdp+vbta5HfdXV1tXFjz+snEeTm5gK4dnzB9Rt7GrrX5JrAQA3DcDGD0tLSOrO0MjMz62zMeGNrxNJf1nl5ecburuzsbEiSBD8/P2OgtG7d2qLlu5m8vDwMGzYMZ8+exfr16xEdHW3pIt1SdXU15s6di127duHvf/87Ro4caeki1VFWVobt27cjPj4eGzduRF5eHlq3bo1hw4YhJiYGgwcPtngXVV5eXq391ZKSknDy5EnjMQwBAQF1trzp0KGDxcbeWgqGi4x0Oh0uXrxYZ6ZWQUEBgGsbM96sNWLpD6eBTqdDRkaGMVCKi4thZ2eHkJAQhIaGokOHDla9buHcuXN44IEHUFZWhs2bN6N79+6WLtJf0uv1WLBgAdauXYspU6ZgwoQJFh8XuhW9Xo+DBw8au8+Sk5OhVqsxcOBAY/dZcHCwpYsJ4NrC3JSUlFrjOMnJycjOzgZwbVuiiIiIWjPWunTpYpU3TLaK4dJIxcXFdbq0Lly4YOwTbt26dZ0Q8fHxsXhr5EYVFRW1uruqq6vRqlUr4+yuoKAgqyvzzRw5cgRDhw6Fi4sLtm3bhnbt2lm6SPUmhMC//vUvLF26FKNHj8asWbNsYoZUenq6MWh27dqFmpoadO7c2Rg0vXv3trr3Tn5+Po4fP16ra+3EiRPGo699fHzqrMsJDw/n8QWNwHD5C1qtFtnZ2XVmahUVFQG4trX5jdvEBwUF1XtjRku4fPmysXVy4cIFANfOBDEEStu2bS1cwobZuXMnRo4cifDwcGzcuNHmym+wbt06zJ8/H9HR0XjnnXdsaqfikpISbNu2zdh9lp+fjzZt2uDBBx9ETEwM7r//fqtdx6LT6ZCamlpnMWhmZiaAaz0OHTt2rLPljbmnktsahst/CSFqbRNvCJPrN2Zs27ZtndaIt7e31d9l6nQ6ZGZmGgOlqKgIarW6VneXNYfh7axevRpjx45FdHQ0fvzxR6v9Aquv3bt3Y/bs2ejcuTMWLlxok9ej0+mwf/9+Y6vm5MmTsLOzw7333mts1Zh62x05FBUV1Tmk7fjx46ioqABw7fvgxkPa7rjjDln3wbNlLTJcampqkJWVVadby7Axo4ODw023ibfm8YYbXb16tVZ3V1VVFVxdXWt1d9n6gObixYvx0ksv4cknn8SKFSts6k7/do4ePYqXX34Z3t7e+Oyzz2z+gK+0tDTj7LPdu3dDq9WiW7duxqC58847rf4GzUCv1+P8+fO19ldLSkrC+fPnAVw7viA8PLxO15qPj4/VjqWZSrMOFyEECgoK6gywX7x4EXq9HgCMGzNe363Vtm1bm3wj5OfnG09mvHDhAoQQ8PX1NQZKc2nGCyHwxhtvYP78+Xj55ZexYMECm/lyqq+0tDRMnz4dKpUKn3/+OQIDAy1dJFkUFxdjy5YtiI+Px6ZNm1BYWAhvb28MHz4cMTExGDRokE22oktKSowbe14/nlNWVgYA8PT0rLPlTceOHS2+HsyUmk24VFVV1WqNGMLEsDGjYZv46xcgBgYG2vTZFHq9HllZWUhJScHZs2dRWFgIlUpVq7vLFrtVbker1WLy5MlYsWIFFixYgJkzZ1q6SCaTm5uLF198EYWFhfj0009NcjSAJWm1Wuzdu9fYfXbmzBk4ODjgvvvuQ0xMDB588EH4+flZupiNptfrjRt7Xj9rLS0tzbixZ2hoaJ1D2gICAmzy5vZGNhcuQghcuXKlzgB7Tk6OcWNGHx+fOgPsrVu3bha/sMrKSqSlpeHs2bM4d+4cKisr4eLiYmydBAcH23x3161UVFTgsccew5YtW7BixQqMGzfO0kUyueLiYvztb39DSkoKPvroI/Tr18/SRTKZlJQUY9Ds2bMHOp0OPXv2NHaf9ezZs1l8hsvLy2u1cgx/G05vdXNzq7MuJyIiwuZadDYRLikpKdi1a5cxSAwbM2o0mjpboci5Tbw1OXToEE6fPo2srCwIIeDt7W0MFB8fH0sXz+Ty8/MRExODpKQkrF27FkOGDLF0kcymsrISs2fPxt69e/Hmm29i2LBhli6SyRUWFhq7zzZv3oyioiL4+vriwQcfxIsvvtjsWnFCCGRlZdXZ8iYlJQV6vR6SJKF9+/bo2rUrunfvjtdff93qg9YmwuXKlSu4cOECnJyc4OTkBI1GAycnJ9jZ2Vl9Bcvl2LFjkCQJnp6eaN26dbMM0NsRQhhbpi3ld349IYRxrNDf379F1YHhK8rwd0t6Dxje99f/AWAT625MFi42kFlGpnijtvTrB+SvA0O4mALrgJ8DW3kPmJKcdWCyzvmkpCScOnXK6lboGggh4O7ujkGDBpnk+c+fP4+srCyrncUkhICLi4tJt0jZvn079uzZY7VjQIbZdJMmTTLZaxw4cABHjx616s9BmzZtTLav2fbt2/H7779b9fWb+j3w66+/4o8//oBCobDKFpehDiZOnCjr85rsU5+bm4uoqCir26vnypUr2LFjB3r16oUjR46Y7HUKCwsRERFR733DDEfG5uXloV27diavN51Oh3379pn0NdLS0jBs2DCsWbMGkZGR6N+/v1VNvayqqsKHH35o0tfIzs7G4MGDTToNXAiB1NRUJCYmokOHDujRo0e9b2pqamrwn//8x2RlS0tLw/33348NGzYgODgY4eHhCAkJgbu7u1XceJnjPXDu3DmMGDECS5cuxVNPPYVu3bpZVchUVVVhwYIFsj+vSW8pHRwcrOrLRAiBkydPYuPGjXBycjL5L9jOzq5eYyNCCBw8eNC4wOzPP//E6NGj4efnZ7IyarVas7zBMzMzsXjxYnz++ecYOHAgFi1ahPDwcKv4cKnVarN8wTk6Oppspo8QAvv378fcuXNRUlICOzs7xMbGYuzYsfW6tqqqKpPXQV5eHhYuXAi9Xg97e3t4eXmhd+/eGDlyJAYNGoQ2bdpY7P1grvfAoUOH8PXXX2PdunV46623MHHiRKtZ9GuqOrD8rQOufUAqKipw+fJlVFdXm6yPUgiBQ4cOQalUWs2OuYbjXxMSEmBvb4/evXujsrISW7ZsMW7Jb8vCwsLw9ddfY+DAgdi5cyeGDBmCAwcO2FQ/tDUrKCjA/PnzUVlZiWeeeQaurq5Yvnw5jhw5YjV13K5dO3z77bd4++23MXToUCiVSqxbtw7jxo1Dnz59MHfuXGRmZlpNeU2hf//+WLhwISRJwssvv4yXXnoJxcXFzfqaLR4uQgj8+eefmDNnDmbNmoUPPvgAubm5Jqn08vJypKWlwcPDw2oWZ+n1emOLZdCgQbj33nsRHh6OvLw8nD592ubffB4eHnj88cexfv16zJkzBzk5ORgzZgySkpJs/tosTQiB1atXIzc3F4888gimTJmCV199FVqtFnFxcVZzc+Lp6YnHH38cc+fOxdq1a3Ho0CFs3rwZzz33HCorK/H+++8jMjISn3zyCUpLS5vl+8LR0RFTpkzBhg0bEBERgRUrVuDJJ580rs9rjiwaLkIIJCUlYdGiRbh06RJat26N48eP49NPPzVuDien9PR0lJeXIyIiwmqm8uXk5CArKwu+vr644447oFAoEBkZCaVSiT///NO4TY0tkyQJjo6OmDNnDubOnYvc3Fw88cQTyM7ObrYfLHMoLi7G+vXr4ebmhnHjxkGhUODuu+/GnXfeiZMnT+LQoUNWVb+SJEGhUMDDwwP33XcfvvjiC+zfvx+zZ89GVVUVZs2ahZiYGCQnJ1tVueUiSRJ69uyJ+Ph4DB48GL/++itGjhyJM2fONMvrtWi4lJSUYPny5dDpdHj++ecxb948REZG4ty5c9i6dausFS6EMHYV9OrVS7bnbQohBA4fPgy9Xo8+ffoY+z3btGkDPz8/5OXlIS8vz8KllI9KpcJrr72G559/HmfOnMGECROM2/NQwwghsGvXLhQUFOCBBx6Ap6cngGvHY48fPx4AsGrVKqu+OVEoFAgKCsK8efOwe/duxMTE4I8//sDgwYOxevVq427kzYlhB5HvvvsO48ePR1JSEh566CH88ccfzS5gLBYuQgj88ssvuHTpEgYNGoTIyEg4OjriqaeegkajwZYtW4ybvslBr9cjOTkZ9vb2CAsLk+15m6KiogJpaWlwdXVFu3btjIOakiSha9eu0Ov1OHHiRLN606nVarz//vsYPHgwduzYgblz5xoPWKP60+l0iI+Ph1qtxkMPPVTrvdOtWzeEhITg6NGjxpMXrZkkSejYsSNWrVqFDz/8EBUVFXj22Wfxz3/+s1m+NyRJgqurKxYvXozXXnsN2dnZGD16NL799tt6X68QAjqdDjqdrtbiSmtisXAxTAl2d3fHww8/bLxrb926Ne655x4UFhZi//79slVaUVERcnJy4OPjAzc3N1mesymEEEhLS0NlZSXuuOOOWjNHJElCSEgI7OzskJKS0uzu4DQaDZYvX44OHTogLi4O33zzjVV+OKxZdnY2zpw5g/bt29c5dVOtVmP48OGoqqrCr7/+ahN1K0kSHBwcMGPGDKxevRpubm5444038O6771rN2JHcHBwcMHfuXCxatAg6nQ5TpkzBSy+9hIsXL9b5nQkhoNfrkZubi3Xr1mHmzJkYNWoUhg8fjilTpmDz5s2orKy0qt+1RcJFCIFt27ahvLwcQ4YMQatWrYz/J0kS7r//fqjVauzYsUO2L9a0tDRUVVWhc+fOVjG/HgBOnDgBhUKBTp061ZmKqdFo4Ovri+LiYuTn51uohKYhSRL8/Pzw1VdfQaPR4JVXXuEMsgYQQmDPnj2orq7G4MGD6yxQlCQJ0dHRcHR0xLZt22zqy1mhUOCBBx7A+vXr4efnh/feew/z589vli0Y4FpX8YQJE/DTTz8hNDQUy5cvx8CBA/HRRx8hOTkZ2dnZOHXqFFatWoXx48ejb9++ePzxx/H5558jISHBOMV59OjReOKJJ4xHbVgDi3zLlpWVYdeuXXBxcUF0dHSdL1Y/Pz+0a9fOuNtxUxkmDgBA165drWKNRXl5ObKzs+Hm5nbLw6DCw8Oh1+uNW3Q3J5IkoV+/fliwYAHKysrw9NNPN/vpqHLR6/X47bffYGdnh3vuueem72cvLy906tQJGRkZOHfunAVK2XiSJOHOO+/ETz/9BF9fX7z33ntYsmSJVY8fNYUkSbj77ruxdetW4xTluXPnGidnREZG4plnnsGPP/4Ie3t7PPvss1i1ahX27t2LAwcOYPXq1ejXrx82bdqE0aNHW80MNLOHi2GtSVFREfr163fTLiqFQoF77rkHWq1Wlq4xvV6PU6dOwcHBAcHBwU16LrlkZGSguroaHTp0uOnWGJIkITg4GEqlEqmpqRYooelJkoRnnnkG06dPR2pqKsaPH4/CwkKr+GBYsytXriAlJQVBQUG3nFJvaAHodDr89ttvNlenkiShe/fuWLVqFdzc3PD3v/8dP/30k81dR31JkgQvLy98+OGHSEhIwD/+8Q8MGDAA7du3R2RkJF5++WWsX78e+/btw5IlSzBy5EhERESgQ4cOePDBB7Fu3TqMHTsWR48exdSpU1FVVWXpSzJ/uOj1evz6669QqVQYNGjQTe+6DFP27OzscPDgwSZ3jRUVFeHSpUvw8fGp93YspiSEwJkzZyBJEsLCwm7ZknJzc4Obmxvy8vJMMjXbGqhUKsybNw8jRozAnj17MGXKlGZ7rXI5fPgwKisrERUVdcs9uyRJQp8+feDo6IiEhASb7FaSJAl9+/bFihUroFAoMGXKFKubXi03hUKB8PBwvP766/j555+xc+dO/PLLL8ZJMB4eHnV2hZYkCS4uLvj0008RFRWFzZs34z//+Y/F68ns4XLhwgWcP38eISEhtz261dPTE0FBQcjOzsbly5eb9JqGM+Q7duxoFeMt1dXVyMrKgkajue2eU4apmtXV1cjNzTVjCc3L0dERy5YtQ1RUFH788UfMnDnTKu68rJEQAgkJCcY1Lbfr4m3Tpg3Cw8ORmZmJCxcumLGU8pEkCcOGDcNHH32EkpISjB8/vkWsj5IkCUqlEnZ2dlAqlfXqynd2dsbnn38OFxcXvPvuu7h48aIZSnprZv2mNXwwtFot7r333tt+0SsUCtx1112oqanBsWPHGv1mEkIgOTkZgPWMtxhaIgEBAbfdX8gwawy4FpDN9QNlOKfm+++/R+fOnbF8+XLMnTvXpgaizaWiogJJSUnw8PBA+/btb/tYhUKBgQMHoqamxqbXUUiShEmTJuGFF15ASkoKYmNjjQcG0v8YpnRPmzYNly5dwsKFCy36OzdruFRVVWHfvn3QaDTo1avXbb/oJUlCjx49jCvVG1tJhvEWe3v7OlM2LcGwg60QAqGhoX8Zdj4+PlCr1cjIyLDZL4f6kCQJ/v7+WL16NUJCQvDJJ5/gvffes8nuHFM6d+4cCgoK0KVLFzg5Od32sZIkITIyEmq1GgkJCTY9IK5SqfDuu+8iOjoaW7duxXvvvWfT12MqkiRh6tSp8Pf3x9dff43z589brCxmDZezZ8/iypUr6Ny5c63px7fi4+OD1q1bIzU1tdEruUtKSpCTkwNvb+96vaapCSFw7tw5qNXq23YLGmg0Gnh4eKCwsLDZr2Y3jEGtWbMGfn5+eP/99/Hxxx8zYP5LCIEDBw5Ar9cjKiqqXj/j5+eHgIAAnD171uantGs0Gnz55ZcIDAzEP//5T/zyyy/N+oarsTw9PTF16lSUlJQgLi7OYnVktnAxdIkBwMCBA+vVPWVnZ4eIiAhUVFQ0ejrl+fPnrWq8pbS0FPn5+fD09ISzs/NfPl6SJAQGBqKmpkaWadnWzrA7wZo1a9C2bVu89dZb+Oyzz5rdQtLG0Ov12L9/P+zs7NCjR496fYZUKhWioqJQUVGBxMREm/4yliQJQUFBWLp0KRQKBaZNm9Ysp+k3lSRJePrpp+Ht7Y3vv//eYuO1Zvu2LS8vx9GjR+Hm5oaOHTvW62ckSUKvXr0ghGjUB+P68ZbOnTtbfLxFCIGsrCxotVqEhITUqzySJBm7886fP98iPkiGdQ6rV6+Gh4cH3njjDXz++ectPmCKi4uRlpYGHx8feHt71+tnJElC//79oVAosGvXLtMW0AwkScKgQYPw2muvIScnh7MLb8HT0xNPP/008vPz8d1331nke8Ms4SKEwIkTJ1BSUoIePXr8ZV/x9cLCwuDg4IDk5OQGf7no9XqcPHkSdnZ2fzn4aS6pqamQJAnt27evd9h5e3tDrVYjKyurRYQL8L9Flj/88APc3Nzw2muvYcmSJS06YE6fPo3y8nL07NmzQUdHh4aGwtPTE0eOHGkWXasKhQKzZs3CAw88gN9++w0ffPABx19uIEkSJkyYAGdnZ3z11VcWCWCzhcvu3bsBXDs0pyEtCFdXV/j7+yM3N7fBfcalpaXIycmBl5eXVewnVlNTg6ysLDg6Ot5yVf7NODk5yTLuYtifyFYCSpIk3HPPPVi1ahVatWqFV199FV988UWLDBghBPbu3QsAiIyMbNBnyNHREXfeeSeKiopw8uRJUxXRrBwcHLBkyRL4+/tj4cKF2L59u828r80lKCgIgwcPRmpqqkUW0polXIqLi3Hy5Em0bdsWHTp0aNDPKhQKdOvWDTU1NTh9+nSDfjY9PR1Xr15Fx44db7nYzJzy8/NRVlYGX1/feh1/bCBJEgICAlBTU9Po/tOqqirs2bMHK1euxN69e21mmq8kSRgwYABWrVoFFxcXzJo1q0UGjE6nw+HDh+Hk5IROnTo16GcNe40JIbBz585m8SVsGH/5/PPPIYTA888/b1X7alkDw8JThUKBZcuWNb9wMZyjUl5ejj59+jT43GjDNhCSJDVo3MXa1rcYZokJIRocsIatYIBrgdnQN4lWq8WmTZvw+++/Izs7G7t378a+ffts5oMoSRIGDhyIVatWwdXVFbNmzWpxXWR5eXnIyspCu3bt4O7u3uCf7969O1xdXbFv375ms0BVkiQMHz4cL730EjIyMjBt2rRmc21y6du3L8LDw5GQkGD2PeZMHi6GY3yVSuVfrii+lYCAALi4uODMmTOorq6u9+seP37casZbDOtblEolgoODG1wPhvUuDd3cUQiBY8eO4fTp0/D19cUTTzyBDh06oGPHjhYP3IYw3H2vXLkSrq6uePXVV1vUIH9SUhKqq6vRu3fvRs16dHV1RdeuXXHp0qVmtVedQqHAnDlzEBUVhY0bN2LRokU2c9NkDvb29hg/fjwqKiqwcuVKs9aNycMlLy8Pqamp8Pf3h7+/f6Oew8nJCe3bt0dhYWG9tzQoKSnBxYsX4e3tbRXjLRUVFcjLy4O7u3uj1ttoNBq4u7ujoKCgQYNzFRUV+OOPP6BWqzFs2DD4+/vjkUceadCYj7UwBIxhDOa1116ziWnKQgikp6c3+vA7IQT++OMP415bjbkpMMyyMuzt15y+gDUaDZYtW4Y2bdpg3rx5SEhIaFbX1xSSJGH06NFwcXHBqlWrUFlZabbXNnm4/P7776iursaAAQMaNMPlRj179jSeJlmfN05qaioqKyvRqVMnqxhvycrKQk1NDdq1a9eoO8/GjLsYuiTLysrQvXt3tGnTxrhnka0ydJH98MMPcHd3x+zZs63+xMLExERMnjwZ//rXvxo1q6mqqgrHjh1Dq1atGtylamDYyNLZ2Rm7d+9uVt1HkiQhPDwcn376KaqrqxEbG2s1285bA39/fwwcOBBpaWnYv3+/2V7XpOFSXV2NPXv2wMHBodF3XMC1N48hJOoz7iKEwNGjRwHAOF5jSYZdkAHUa8uXm2nMepfKykocOXIE9vb26N27t8XrQS6GtRtr166Fp6cn5syZgw8++MBqJykEBwfD3t4eP/74I06fPt3gL72MjAzk5eUhIiKiXgtvb8Xd3R09e/ZETk4OTp061ejnsUaGO/Tnn38eKSkpVrPtvDWQJAnPPvsshBD497//bbbQNWm4pKam4tKlS+jSpQs8PT2b9Fze3t5o27ZtvboXtFotjh8/DkdHR6sYb6murkZmZiY0Gg18fHwa/TwN2WdMCIGzZ8+itLQUERERcHFxafTrWiPDvlk//vgjvLy88M4771jtkbienp544YUXUF1djcWLFzeolSWEwP79+6HX63HPPfc0qRySJOHBBx+EEKJZbp2iVCrxzjvvICoqCvHx8fjkk0+4/gX/m3Hp7++PrVu3NnmX+foyabgEBgbiueeew4gRI5p816xSqdC5c2eUl5cjJSXlto+9fPky8vLyEBQUZBVfqjk5OSgrK0NQUFCDZ8tdT6PRwNPTE4WFhX8ZsHq9HocPH4ZSqfzLTUJtlaGr56effjLuRfbmm29a5R3rvffeix49euDIkSPYs2dPvb/Y9Xo9fv/9d6jVatx5551N+j0adj5o06YN9uzZY/N7jd2Mi4sLvvzyS7Rt2xbvvfdesxtfaixnZ2eMGjUKBQUF2Lx5s1nqxKTh4uzsjEGDBt32QKz6kiQJd911FyRJuu2BQYYjjbVaLXr27GnxL1UhhHHhWlNnaBmmJBsWY95OTk4O8vLy4Ofnh9atWzf6Na2dYYugdevWITg4GAsWLMDrr79u1oHL+lCr1Xj++eehUqmwdOnSek/KKCgoQEpKCvz9/eHr69vkcmg0GgwbNgwlJSX45Zdfmvx81saw+WlcXBx0Oh1iY2MbNX2/uZEkCWPHjoVarcZ//vMfs7ToTD6gf+OpaU3RoUMHaDQa47TMmxFC4ODBg1AqlfXe3M+UqqurkZaWBicnp3rtgnw7hm1jABi37b8Zw15ser2+2bZarmfY7HL9+vUICwvD4sWLMWPGDKvac8owbjhw4ECkp6dj48aN9eraPHz4MCoqKhAVFdWkCTHXl+Phhx+Gq6sr1qxZgytXrjT5Oa2NJEkYMWIEXnnlFWRlZWHSpEnNYtubpurUqRM6d+6MQ4cO/WXvjxwsv01wAzg7OyM8PBz5+fnIzMy86WNKSkqQlpaGtm3bynKn11QZGRkoLS1FSEgIHBwcmvx8Xl5ecHJyQmZm5i3HF8rKypCSkgJXV9d6b5Bp6wwHJa1bt8544NgLL7yAsrIyq7lrVSqVeO655+Do6Iivv/4aRUVFt328EALbt283Hvol1+/Ry8sLo0aNQn5+PtasWSPLc1obhUKB2bNnG/cfe/vtt61+yrqpqVQqjB07FlVVVVi9erXJPxc2FS4A0K9fP+j1+puuMDesyq+oqECvXr2gVqstVMpr9Ho9EhMTIUkSunXrJsuXg729Pfz9/VFWVoZLly7V+X9DN1xVVRU6d+7cpDEeWyNJEkJDQ7Fu3Tr06tUL33zzDSZMmIDi4mKrCZigoCA89NBDyMvLww8//HDbchUWFuLo0aPw9vZGWFiYbGWQJAlPPfUUxo0bh1GjRsn2vNbG0dERS5cuRUhICBYvXmz2RYTWRpIkjBw5Ei4uLvjhhx9M3nVsU+Fi6P5wcnLCwYMH63SNXX++eL9+/Sx+x37lyhVkZGSgTZs28PPzk+15O3bsCCHETae1arVaHDlyBGq12iq2vTE3w55TP//8s3E22bhx41BQUGAVXyyGvm93d3esXbv2lmfbCyGwb98+lJaWYsCAAQ3ai64+WrVqhWnTptV7635bZDjddMWKFXBwcMCMGTNs/kybpvLz8zOueTl48KBJX8umwgW49qHo1KkT8vLycPbs2VpvlMuXL+PUqVPw8fEx7sVlSUqlEiEhIejTp49sCxcNg/r29vY4e/Zsra4xIQTS0tJQUFCAkJCQRu1B1RxIkgRfX1+sXbsW9913HzZu3IjHHnsMly5dsoovljZt2mD8+PEoLS3FF198cdOpyTqdDuvXr4dKpcLQoUNlv0mQcyzUmkmShLvvvhvz589HcXExnnnmGeTl5VnF+8ASJEnCM888AyEEVqxYYdJ6sLlwkSQJ9913HwBg69atxsoRQmDXrl2oqqrCgAEDLN4lBlxb3/DII4+gU6dOsn6QnZycEBwcjJKSklpnvOh0Ouzfvx8KhQJ9+vRpEV8etyJJEtq2bYtVq1YhJiYGv/32Gx5++GGrOBNHkiSMGjUKHTp0wK5du/D777/XKpOhVXrixAnccccdjV6VT9dIkoRJkyZhwoQJOHHiBJ5//nmrnK5uDoYdLvz9/bFlyxbk5eWZ7LVsMlw6deoEHx8fHD16FNnZ2RBCoKSkBDt27IBGo2nwmTGmpFAoTHK8cs+ePQHAOC3bsAtATk4OgoKCrGIyg6VJkgR3d3d8/fXXePTRR3HgwAGMHDnSKo7GdXR0xN/+9jcoFAosXLgQFy9erHWTsGLFCuh0OjzxxBM2vV2PtVCr1fjoo48QFRWF9evXt+gDxpydnTFmzBgUFhZi/fr1JnsdmwsX4NqgdkxMDKqrq/Hdd9+hsrISa9euRWFhIaKjo+Hh4WHpIpqUYZ8xLy8vpKen4/z58yguLsauXbugVCqtKlwtTZIktGrVCl9++SUmTJiApKQkPPTQQzhx4oTFy9WzZ0889dRTyMvLw9y5c5GTkwOdTocNGzZg79696NixI+655x7+LmXi6uqKr776Cv7+/vjwww/x448/WrpIFiFJEsaPHw97e3v861//MtmuFk2fOG8Bhn7UXbt2ITExEfPmzcO5c+fg7e0ty24AtkCpVGLAgAFYu3YtNmzYAHt7exQXF6Nv377w9fVtEXXQEBqNBosWLYJGo0FcXBxGjBiBb775xqJlUigUePbZZ5GdnY3t27djypQpaN++Pf78809oNBrMnDlT9oH8lsywTuzLL7/Eww8/jKlTpzZ57ZmtCg8PR9++ffHHH3/g8OHDJnkNm2y5ANdaL1OnTkVISAjS09Ph7e2NF198sVHb2dsiw0aW/fv3h06nQ1lZGXr06ME73dtwdHTERx99hNdeew3Z2dnYvHmzpYsEBwcHzJ49G+PGjUNVVRUOHToEHx8fzJs3T/axOvrf0QPvvvsuSkpK8PPPP1u8i9QSFAoFJk+eDEmSsG3bNpO8hklbLtnZ2SZfJf3MM8/g8uXL8PDwgJ2d3S0XV95Iq9WafFFVfn6+yQcOQ0JC4OnpCb1eDzc3NxQWFtbr53Q6ncmv3zAwXVxcbNLXaaiHH34YDg4OiI6ONnnXSH3Pchk8eDB69uyJ4uJieHt7w9nZ2SyHetXU1Jj0uAJrfQ/cc889mDNnjtneA2fOnEFJSYlJX6ehAgICMH/+fPTo0cMkYy+SMFFsZ2Rk4Ny5c1Z95+Xp6YnOnTubpIx5eXmNPu/eXFxdXREUFGSy31FycjIOHz5s1e+BgIAAREdHm6yMqampOH36tEmeWy5eXl5N3hTzVvgeAI4fP25cTG2tDGe+yFlGk4ULERG1XDY75kJERNbLJsLFMGDdkjee0+l0KC0tbbF1YFjL05Ib2nq9HlevXm2x6zMAvg+EENDr9TZx/TYRLhkZGXjmmWeQkZFh6aJYzOXLl7Fo0SKznSJnbY4cOQKFQoEjR45YuigWc/bsWfTv3x9nz561dFEspqW/D44ePQp7e3vjMe7WzCbChYiIbAvDhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiOQnrNjhw4fFhAkTRKtWrYQkSaJVq1ZiwoQJ4vDhw5YumtkY6sDNzU0oFArh5ubWourAcP2urq4CgHB1dW1R1y8EPwdC8H1gi9dvleFSU1MjYmNjBQChUqkEAOMfw79jY2NFTU2NpYtqMi29Dlr69QvBOhCCdWDL12+V4RIbGyskSapVkTf+kSRJxMbGWrqoJtPS66ClX78QrAMhWAe2fP1WFy6HDx++bUXe+Meam4WN1dLroKVfvxCsAyFYB7Z+/VY3oB8XFweVSlWvx6pUKixZssTEJTK/ll4HLf36AdYBwDqw9euXhBDC0oW4nqenJwoKCur9eA8PD+Tn55uwRObX0uugpV8/wDoAWAe2fv1WFy52dnaoqamp9+PVajWqq6tNWCLza+l10NKvH2AdAKwDW79+q+sWc3FxMenjbUFLr4OWfv0A6wBgHdj69VtduIwcObJB/YyjRo0ycYnMr6XXQUu/foB1ALAObP76LTufoC5bnyEhh5ZeBy39+oVgHQjBOrD167e6cBHCtud2y6Wl10FLv34hWAdCsA5s+fqtMlxseVWqXFp6HbT06xeCdSAE68CWr98qw8Xg8OHDYuLEicLDw0Oo1Wrh4eEhJk6caHXNP1Nq6XXQ0q9fCNaBEKwDW7x+q5uKTEREts/qZosREZHtY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcnu/wHP59HFjRdtTQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "45760ca2", - "metadata": {}, - "outputs": [], - "source": [ - "# set the (1,0,0) activation to be gausssian\n", - "#model.fix_symbolic(1,0,0,lambda x: torch.exp(-x**2/10),fit_params_bool=False)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "d951ae17", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "aa26622b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.82e-01 | test loss: 1.80e-01 | reg: 3.61e+01 : 100%|██| 50/50 [00:14<00:00, 3.37it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=50, lamb=0.002, lamb_entropy=10.0, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "9d162e40", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=[r'$x_{}$'.format(i) for i in range(1,7)])" - ] - }, - { - "cell_type": "markdown", - "id": "b239996d", - "metadata": {}, - "source": [ - "This gives the dependence among $(x_4,x_5)$. Another random seed can give dependence among $(x_1,x_2,x_3)$." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e3c31cf5", - "metadata": {}, - "outputs": [], - "source": [ - "seed = 6\n", - "model = KAN(width=[6,1,1], grid=3, k=3, seed=seed)\n", - "dataset = create_dataset()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "e1d5046a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "52ec328b", - "metadata": {}, - "outputs": [], - "source": [ - "# set the (1,0,0) activation to be gausssian\n", - "#model.fix_symbolic(1,0,0,lambda x: torch.exp(-x**2/10),fit_params_bool=False)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "79fff8e1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "818d76e2", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.11e-01 | test loss: 2.35e-01 | reg: 7.55e+00 : 100%|█| 100/100 [00:14<00:00, 6.75it/s\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=100, lamb=0.01, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "c5cb7884", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=[r'$x_{}$'.format(i) for i in range(1,7)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6b5975f8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Extension_1_boundary_condition-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Extension_1_boundary_condition-checkpoint.ipynb deleted file mode 100644 index df93b6e2..00000000 --- a/tutorials/.ipynb_checkpoints/Extension_1_boundary_condition-checkpoint.ipynb +++ /dev/null @@ -1,256 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "2971746e", - "metadata": {}, - "source": [ - "# Extension example 1: Boudary Condition" - ] - }, - { - "cell_type": "markdown", - "id": "cba1c2b8", - "metadata": {}, - "source": [ - "For some applications, we want to constrain the function space of KANs. This notebook investigates when there are boundary conditions, we can hard code this information into KANs. This can be done by defining a new class MyKAN that inherits the KAN class. The forward() method needs to be overridden." - ] - }, - { - "cell_type": "markdown", - "id": "fb2a4e1f", - "metadata": {}, - "source": [ - "Example 1: $f(x), x\\in [0,1], f(0)=0, f(1)=0$. To construct the condition, we set $f(x)=x(1-x)\\cdot {\\rm KAN}(x)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "ef203d38", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x * (1 - x)\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[1,1], seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([0,1],[0,0], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "cc9ea0cb", - "metadata": {}, - "source": [ - "Example 2: $f(x), x\\in [0,1], f(t_0)=y_0, f(t_1)=y_1$. To construct the condition, we set $f(x)=(x-t_0)(t_1-x)\\cdot {\\rm KAN}(x) + (y_1-y_0)/(t_1-t_0) * (x-t_0) + y_0$." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c439b796", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "t0 = 0\n", - "t1 = 1\n", - "y0 = 1\n", - "y1 = 1.2\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width, t0, t1, y0, y1, grid=3, k=3, seed=1, noise_scale=1.0):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " self.t0 = t0\n", - " self.t1 = t1\n", - " self.y0 = y0\n", - " self.y1 = y1\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = (x- self.t0) * (self.t1 - x)\n", - " return y_kan * y_mtp + (self.y1 - self.y0)/(self.t1 - self.t0) * (x - self.t0) + self.y0\n", - " \n", - "model = MyKAN(width=[1,1], t0=t0, t1=t1, y0=y0, y1=y1, seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([t0,t1],[y0,y1], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "1170c3a7", - "metadata": {}, - "source": [ - "Example 3: $f(x,y), x\\in[0,1], y\\in[0,1], f(0,y)=f(1,y)=f(x,0)=f(x,1)=0$. Set $f(x,y)=x(1-x)y(1-y)\\cdot{\\rm KAN}(x,y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "dba9aac3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/ziming/opt/anaconda3/lib/python3.9/site-packages/torch/functional.py:507: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at /Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/TensorShape.cpp:3550.)\n", - " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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I4mQnLQ8TH4dy0y+WPU+CFK+TmmkiA4BgILWfTqr0cdh2+glOBZnxcv3asUy/NgYwMebnIDGB0ZdAm+DM/fRxtEmQeSnZiXI4fhph3u76RGMRQz8emvuR6XfNn0stnv7RqimE5snJIbKgcg3uRjoBau5HenLH2E9fGqXJknRyxHnhfEuUg6kb3NLSgqqqKq3vxhtvxLZt29DT04OCgvTlFTOtVxzHfxOcIAiCMCD9d3QIh8MIh8MpcV7rBgNAe3u7MT4ajeLkyZMYN25c2vEN5nFNyG9wgiAIOYKLpJNyMLf4unT8+PEoLi5O3NJJfrZ1gweKN/Wnw+vj9scfKzivPyNysiQnRQ72Z0r6Qmh2MY9/V3C/u9nIkibJsd85EQgy8X0x5Lc2VkKkv5cFGemSOVaTHLXzMP30aQ2ar0mXImHsV5p0aTiHlVxpbnNyJVuEYqglSsNb2OGUdxLLypVaDO03y4Y0Rv+NDOZ4VsZML0s60VRHI5U2leZ4TGqL2mfLNb8gmlzJfqaHrl5t5nlwvcceP35c+w3OtHoDvNcNBoDS0lJjfCgUwpgxY6zGOZjHNSErOEEQhDyjf21fboLzWjcYAGbPnp0Sv3//fsycOdPq97fBPq4Jf6zgBEEQ8oDMa1F6PzZd3eDa2lqcOHECL7zwAoBex2RDQwNqamqwZMkStLS0YNu2bdixY0finJFIBB9++GGifeLECbz33nv40pe+hD//8z+3elwb/D3BMfLjkMqS3DkY3djGOWkjSzpURqTn1PrNMZoz0iRHepUfaXyIWv1pvFlOtJEcFXcslSKZGFauDBhiNckRKbG9MemlSzYdgHVaMvEe4a3/aWJt5EfXHMPLj+YY7TwuI2+6TDtKZczkixIwuSSjnMxPXz8iV0ZBYpiatudJlqQMx35w6eoGt7W1ablp5eXl2LdvH1auXIlNmzahrKwMzzzzDO64445EzJ/+9CdceeWViX8//fTTePrppzF37lz85je/sXpcG/yRB0fzV6jWzuWpnK8JjsIUIGYnOBrDTSoywckENwD5NcEl24Fo6gRHf5dzDPcDAKJ0gosZ+xFNznyK7e9tD0Ue3DOt/w9GfGnw65Kzn0fxYMXvsjKmXMDfKzhBEAQfMRwSZS4jExzlPK3aWLjKIMwKS4vhnI40Pt1Krd9jJVZTTCxdnXHuR7oi09t07Mm2S2O4FRm7+oO5X1u1DRyjr86YWJuVmkW/jVrkdTVntWpLs4LT3JXaao6s+rmVmktjYIznYgJRZqXGrf6CZNVG1BqXqhOxeAK/uTiAJl0me7UiEbqTlLzJ6OovkyINHsg80Tu/Jrj8ulpBEAQhb5AVnCAIQo7gKgduBj/SZnJsLuK7CW7YPTMWsiRnCGElRy5xmzGQ8DGkP5TsV1x8X79mFNHuJ7JdiJEiQ2Y50WWPhTk+xEiOQaaftF2LmGSiN+ljjSXmMXqWK2GOyRqsWYTvSzmOqRVJZUa9ViTXTsYHYmaTiUu+jQIxKjNSAwk5J5WNSX8gQI0ovTH0sxVwzLKk9hMFfZ+7Zv2WnvN8feu4GUqUmSSJ5yK+m+AEQRD8iqsCcDMwimRybC6SX1crCIIg5A2ygssGNjluTB1ITa7k8tq8OiRDIWO8ClnIlSY5kvS52v2czMhIi4wTUo9JDkuXNGGMYeVH7TxcvxcXpbnN16K06OewifGoiXmRKDlpkY2xyXGjqapUfqRGRC2G9BP5kb5vNOmSvp+pG7PvIrmU7ACz7xx1TtKtrpwY/Uyf/9+zYnAQy0DPzuTYXEQmOEEQhBxBJEpvyARHGexfZBarNrYaSdDGHGIREzKv+DQDiWYsoceac9vcgmBfrMVKrcBsFOFWcLTfanXGxtB+j6s5Qwy7gqNvDcaIwvaTpdKQmEw4M4kWY1g1ccdxRhGrFZxj7tfaNH+NDDFmPlZ7nTQzCRkzs2JOfqRJKS+6OqMnJ+Oi5bnYnFRuNw/hgkEmOEEQhBwhhsxkxvO08fgFg0xwgiAIOYJIlN6QCY6aP7jCy4Z8NisDSSZ5bcQo4tlAwkiXmrxYwBlLqETZlwdnI0UWmHPcOAOJlUQZov1e5UrS5gwiRolSmWM5w4lFGS5OrtTw+ke5jRTJFEo2mUzY8lyaFMmU4Yox8bRN89fIeRQ9NspIl1zZNVrxnyEerl0+MY1oG36EmF0D6Gc0atQ/hQsUmeAEQRByBCm27A2Z4ARBEHIEleF+cErSBHIbvXyOWcfRSvxoZXiY0lqmSuFDkNfmaPKjhUMyZCFF0ngqL2pyJZElNYnS6Yt1Uvp6YxlXJLkMXqIE0+8tnnVLam2z7KjFxB9WkzMZuZJ1UdL3EoxtxdoczfEanLqp1RQzV/nX233lqxg5EVY7ApB+zSHJuCipQk/lR80VyZTecpjn1Wo7hn7/B/Tro3Ip3eGC/oxAv1PoZ10bSn6tjHIF301wgiAIfkUkSm/IBCcIgpAjyG4C3vD3BEelRZfqSqQiuM1GhQY50mpDUpvEbSv3o0UM44p0aT91IlJZkrYNcqQuP6aXIq3kR+1YLt7cz8qPNi5KVq7s62ckSq3WEyeZWUiUGjZyJQf5olJppMiU/j6JTnMQarsD0M1GaT+M/VyprgDnnGSStenroSdxU+ci95xx7tH4uEiXVriAOjrpTwpUljTLleKivPDx9wQnCILgI2RHb2/IBCcIgpAjiETpjfyc4GwcT1zCdlyuyKTyP3VLslX9LaRIziGpyZVUOrSXJWnbRopknZOcFEn7g0y/JlEqYwwrP7IyJiM7xuVF7X4i1THyo6PVLCTnIzqZ1p2JLElQVKLU7jBLl0qTIJ2UPsW4KBXnOIyZZUwnSqW95Cm1TU7pzwJUxrSRdTVLqtkx6hhkWi5hnTqB6U8KKkB+xqDuSu27gGkPIS4CGW1amm8bnubX1QqCIAh5Q36u4ARBEHKQmHIQy0BmzOTYXMQfExzjZtITNG1Ow7z4BpckW2dyKBK3CyzcklziNidFFnLOyGQ7ZpAoqTwYI3KmVynSLaAxZmlRly4ZidJGfqT9pO0EqZtW9fURF6BjliipzBhg+nWznTnGK5osyUmRTIxrkB3p7zGaXKlJkQFjP2gMdV1SyY/WbSRtVu717EqkzsnkOV1ta6Defl2yNid364nejCw5zC5K+Q3OGyJRCoIgCL7EHys4QRCEPEBluF2OkkomOQ6VE8mWF1byB7dDr2l7G5sdt6lEmUniNmlr29UUmCVK77JkcghUdoz3UznRtZAlWYmStgsYxyORImk8QowUaSM/Bs2SYoDExPuDWl+yHWRkxiAnXVrIkgGmn5ORFNMfI0UMXEau1GN6+2NEfqQSpqv1k9dDS9amO2EzPwXQjyL9aPVQmY80teeD+bwySe16LU3S3yc70lqYDnlf6a5Ppq05pod3gojByXDDU5EoBUEQBCHn8d8KThAEwae4KjOjiDt4j1NO4u8JLmBlnTTG87tx9/VnsuN2QTJGT9ZOn7jNJ2iTfk6KNMiPQD9ZksqRfcfqEmWyzcuPNIZIXFSKLPAoRYaI5BgyS5GBoFl+DDJtKhGGgr0FFankGGQkyhBNAmZkSa2N9HIlh+aEJPIS/ZJzGedklOiCMYNcGSVSJJUwtTaNIbKkS55rN2qWLpXmOKT9yW70JJsB0Osg7wPWMZpsu9oWP+TYvjqZfG1Ss7xKJUpwid5UutS26Ro63Ax/g8vk2Fwkv65WEARByBv8vYITBEHwEW6GO3pncmwu4r8JjkoI2n4g6ZO4bZK3E4nenCzptZ6kVluSyoxmuVKTIg11I4H+TkguBqQfxhhlclEyUqRLpUWun7orCzxKkSFGZiTtEI0hMmJcfgSAAhofSG3T4wrI1tMBRqKk8mPAMcufnFvSq4uSkyWjRH9zWYkykNLfEwsaY3uILBklDuFogJEuiUWR5oIrKktq1kYqOZodoCDvIX2rH3IabQscEqLVl4wn8Cf7AlrSN30fppclFSNLni+kkok3RKIUBEEQfIn/VnCCIAg+RUwm3sj6BFdXV4eXX34Z//qv/4oRI0agsrIS69evx3/6T/8pEaOUwhNPPIHGxkacOnUKs2bNwqZNmzB9+vTsDsbGIanVnKNSZJqtbmy2uaFuSa1WJJPEzdSTjBVSN6Zj7GflR02iBNMeOIaVJQvM8qPeT6VLJim7gMqSjPsxRKXIpHRI5cKCEJUiSZvGaP2p5wk55nOHHCpnJmOCjFtSlyhpFnJ6uC8hl3FU9hB7alST/JIxkVgoJaaHaHURco4QlSXJaxCJJvvpsVzdzRhpuyCfC4L2nqD91DlJ30M0IZ0+rTR5m+wwHpcudYckbadP7lbMVwSNP1/Cn4sMa1Hm2W9wWZ/Om5ubcf/99+N3v/sdmpqaEI1GUVVVhS+++CIRs2HDBmzcuBENDQ04dOgQSktLMW/ePJw+fTrbwxEEQfANqs9kMtibyrMJLusruH/6p3/S/v3cc8/h0ksvRWtrK6699loopVBfX4/Vq1fj9ttvBwA8//zzKCkpwfbt27F06dJsD0kQBEHIQ4b8N7jOzk4AwCWXXAIAOHr0KNrb21FVVZWICYfDmDt3Lg4ePDi4Cc4ioTsrsiR9rCGQJalzUpcNzUncprqR/Y+NFZr7WbnSIEdqkiPjkNSSu4nkqNWKJOcJFBCHIokJUvkxxEiLJKYwaJYlw8GoMYZKkLS/MNAbX8BIkQWaQ9LslgzCm4uSg3NLxmCWH6mk2aO5JZPvp25yLXGJMkJkxgLywlP5sZtIm9y2P3rbLEVSqFypmF25NfmR7kZOnbXalj3kNMHUNrcNk/bVwUmX9HuBc06eJ0elbJfjjSGd4JRSqKmpwTXXXIMZM2YAANrb2wEAJSUlWmxJSQk+/fRT43m6u7vR3d2d+HdXV9cQjVgQBOHCRUwm3hjSq33ggQfw+9//Hjt27Ei5r38OiVKKzSupq6tDcXFx4jZ+/PghGa8gCILgH4ZsBffjH/8Ye/fuxRtvvIHLLrss0V9aWgqgdyU3bty4RH9HR0fKqi5ObW0tampqEv/u6uqymuQykiWpdmFwTA6JLEldkcw2N1zdSLaeJO3X5ErS5lyShcpwv9kVqbnhmGTtQAF1RVIpkrSJay9cYJYZbaTIomCyyGEhkefCgWR8yNBfwLgoaX/QMSd6c/2UIOOojHHOSWIKiGlSpDm5m/bTdpi8iHHZsZC8r8/FiFvSSS9L6hKscegD7ECefCxNWtT214E5hu48TgsHGJyTve3eeEVqjOrOSdKv2UFhblNkR+8Lnqyv4JRSeOCBB/Dyyy/j9ddfR3l5uXZ/eXk5SktL0dTUlOiLRCJobm5GZWWl8ZzhcBijR4/WboIgCPlGJg7KTMt85SJZX8Hdf//92L59O1555RWMGjUq8ZtbcXExRowYAcdxUF1djXXr1mHy5MmYPHky1q1bh5EjR+LOO+/M9nAEQRCEPCXrE9yWLVsAANddd53W/9xzz+FHP/oRAOChhx7C2bNnsXz58kSi9/79+zFq1KiMHz9rsmS6+pJaX5bckpnIkhZuSc1RqdWFpDGpydusLBmiDkkiSxYwCdoFZlmyMERkxhCVH81SZJjEc1LkCNKfTpYEkhIklSK1NokNEvmRxnAJ3dRdyRFjxBSXkSXpzsw91AHJSJTdTqpjNEKO07YDsnCMenWGMmZJbZsbRYtR0m1sDK5IQN+yx+HiA3xfb5sex9SlZLbIGQ5EovRG1ic4zfbL4DgO1qxZgzVr1mT74QVBEHyLTHDeyC/PqCAIgpA3+LvYMpUlGbnSZoscLdEz7qKkO3FrbeqENNeW9JzEPQSypH4sl7CttP/3toncRtqcQ7KgwJtDckQBkRaDZimyiMqVRDrUZUmzRGmSJQGgqC9elyiTsVxCN42hBD1KeJSYVnPSvOWNJkU66SXKAqcgpf8szK5PrqamV6jiqH0WtDqTVKLk5Mpk0+SQTOkPpMbztShp21x/Um8z2+VYFJvIBrKC84a/JzhBEAQfIROcN0SiFARBEHyJL1ZwrHNSD0o2GRel5q4MMDGJWpRUtmRclNQ5SaRIxeyyrbkoyStjlcSdZVmyN75PwmLcksHC9LIk55AsIv1UihwRIlIkaVP5cYTmnEweOzIQSZ6T9BcFzNKlyTFZ6JglTCpFBtnkbsZF6Tm52yxLas5JZZYlI0w/vZZzfS+4NvYYszN5LL1EqdXFJLJhjOwS7rox0ibxMfpTAEkAZ3bX5t2QA7fZ5G76EmjJ3YxzMsDEnCcUMtvyZrCC8+bNm/HUU0+hra0N06dPR319PebMmcPGNzc3o6amBh988AHKysrw0EMPYdmyZVrM7t278dhjj+Hf/u3fcMUVV+DJJ5/Ebbfdlrg/Go1izZo1eOmllxKFQX70ox/h0UcfRcBSEpYVnCAIQo4QlygzuXll165dqK6uxurVq3H48GHMmTMH8+fPx7Fjx4zxR48exU033YQ5c+bg8OHDeOSRR/Dggw9i9+7diZiWlhYsWrQIixcvxpEjR7B48WIsXLgQb731ViJm/fr12Lp1KxoaGvDRRx9hw4YNeOqpp/Dss89aj10mOEEQhBxhOCa4jRs34t5778V9992HqVOnor6+HuPHj0/kPPdn69atmDBhAurr6zF16lTcd999uOeee/D0008nYurr6zFv3jzU1tZiypQpqK2txfXXX4/6+vpETEtLCxYsWICbb74Zl19+Ob7zne+gqqoK77zzjvXYfSFRanDOSSozcu6nAJVLzInhcdnRSn7k2tw2N8yWN4rpZ2tIMkncnmRJICFNOoXe3JJUlqRuSSpLalIk45C8KJSUHEcEzfLjSNrvpJclixwqUabGF9LEbSI5cv1U5gsyAhCV/LRq7sx3TYyrPwnqkEyOJ0KlSNJPJUp9K5/edtA1S6ecc5KTIuk1UYdkjHxuqFwZU2a5Ujs2RpOuzY5KcEnagVRJU5Mi2R29GelymGXJoaD/jizhcBjhcDglLhKJoLW1FQ8//LDWX1VVhYMHDxrP3dLSom2HBgA33ngjtm3bhp6eHhQUFKClpQUrV65MiaET3DXXXIOtW7fik08+wVe/+lUcOXIEBw4c0GLS4b8JThAEwadky0XZv1j9448/biy8cfLkScRiMeP2ZvEyjP1pb283xkejUZw8eRLjxo1jY+g5V61ahc7OTkyZMgXBYBCxWAxPPvkkvv/971tfr0xwgiAIOUK2Jrjjx49rRetNqzeKl+3NuPj+/enOuWvXLrz44ovYvn07pk+fjvfeew/V1dUoKyvD3XffPeB44/h7grNJykyT0A30qzVpkCi15G6DnAkM5JZkkrs5F2UGsqS2vQi71Q2p79cnTXKyZGEhdUgSuY+RJalbciSRH3VZMrmxLXVLcg7JkcFkfJFDE7qpLEkei/QXGlySBYgNeD+gS5F8/UnGr0behjFGo6SSX4y8b6lzMgI6tvTSJZVVA31fNuwYtbFQWZK8n8nYaTtKdxSn10HlR5fKmES+JVv2UAmUyoisLDnIWpT0JdDmDSa5G2yt29ySLm13ZRk7diyCwWDKam2g7c1KS0uN8aFQCGPGjBkwhp7zJz/5CR5++GF873vfAwB87Wtfw6effoq6ujrrCU5MJoIgCDmCUk7GNy8UFhaioqJC294MAJqamtjtzWbPnp0Sv3//fsycORMFBQUDxtBznjlzJiUdIBgMwmV+Ozbh7xWcIAiCj8h0T7fBHFtTU4PFixdj5syZmD17NhobG3Hs2LFEXlttbS1OnDiBF154AQCwbNkyNDQ0oKamBkuWLEFLSwu2bduGHTt2JM65YsUKXHvttVi/fj0WLFiAV155Ba+99hoOHDiQiPn2t7+NJ598EhMmTMD06dNx+PBhbNy4Effcc4/12P0xwTEShuao5CRKC0elqa00KTJ94jaVUDQHGpPcrUmOFrKk3lbmfnbbG3N9Saev38YtycmSnFtypOaQTPZ/KWiWKKm0SOXKkYFuYwx1SxYFGOekk5r0XUikPyo/FmouRFqXknFO2sh/zJeNLksm32da4rlWc9IsXQZA3iz0D2E3tY+TS6mLU9853Cw/FpHPRZQ6J8lnqIfIklHy13iUuBidoNlFycqSVFKkLsl4P3c/W4uSfo8YzpdHLFq0CJ999hnWrl2LtrY2zJgxA/v27cPEiRMBAG1tbVpOXHl5Ofbt24eVK1di06ZNKCsrwzPPPIM77rgjEVNZWYmdO3fi0UcfxWOPPYYrrrgCu3btwqxZsxIxzz77LB577DEsX74cHR0dKCsrw9KlS/HTn/7UeuyOstnf5gKjq6sLxcXF+NaouxByCvnKJAGy1xv5TY3d662A9JO2aY83bU+3QvJBLqS/u6UvpByj/VqlEdK2idHizekAtF8VMhOcISWA7uNGJ7gwKYwsE5xORhMcmIlE62cmONJ/jvwYq7X73hTnVPLNdIaUuekmb5rTsaJE+2ws2f95LGzsPxNNnufznmTMuSiJ6SFj6UmOvbs72R/tIZ+vbvLZjSSfj0A3aZ9LPjfBbtI+1/v/0DmQPrL33VmQNtnn7wtSUPsL8vvrF8n3TPB08qTO6TPJ8Xb2WvCjKoLXT7+Ezs5Oq9+7BiL+nTfrHx9E6KKBDSEDEf2iG2/d+kxWxpQL+GMFJwiCkAcM5ne0/sfnE/6e4AKc/EilQ85RyciLCRelWXLUjqPyIN2JmJMiqdOLkS4VK10ybsmQMrdp8iw5NhBKdUza1JYsZHbfzmTVpq3UNLckjbFYwTlm56RpBVfAJG7TFVkh45zMxLFFz0hXagXknh7yCFo9TM7Vyf0WH0i932XqLdKVoi5R0v7kAZEAWfWS90QP+QAU0P4oSUYn0mWM1KjU5EpNaiTvYTZh2+n7P1L6es9HzmHjoqTkmHMyH/H3BCcIguAjZLscb8gEJwiCkCOIROkN/01wXHK3jYvSylEZlzwYWdLCLcklpXKOShup0y6GJnSnuiUBIEjaob42lZSoLBm2kCVpEje35Y2NLEn7aeL2RbRfizFvi6PJldrO3K72f0CX/grMCp5WGjETYqTtksftYaRIVqKkuqPJOUkJ0LvNdSNpwjy3o3iUtOn2RdEAlS7pDuTJdohxVAaI1OlqhRnSy5L6TxPx+5NdrKOS9tMXls4J3HZcwgWJ/yY4QRAEn6IylChlBScIgiBckCgAmSR25VxOWIb4Y4JzGP8aJz8yUqQKpHdRqrQSJZjjkv2uFpO+zcebt/fQpUi61QhJpA2ZnZOBIJUoe4UzKiPxbklz20aK1NyPrBPSmyzJS5Qkp0/bDicuUSa6NIWvkLxnOLdk0GOViJgmM5J+RV2Ryf4e0h90qKhJoN9g5DkwyZVUlnRJbMyh/USWdJJfF7QeKJUrw0SK5B2VtE1y2YijMkCTvjVXJNc2f9aUQaK0kyuZJHKb75QhxIUD5zxXMsllpBalIAiC4Ev8sYKjcKu5QOoqrH8/gua/yEyrNc00Qu53mVUbayxhV3+kHWD6tbw5i3w3uoILmn/QD1GTSV8/zX2jhhPaLiIVS+jKjv6lz7eZzUmZNleNRG+TMRPjiL6CSzWR0JVUAXkP0NVZgOn3Cs2tc5lVm25iIfFaf/rVnEti4quyHiSfI7pqK9Ceu+QI6GtAV21aCbEAMSSR1zhCjSXUyEOrwpD3oZYTR1ZqrmYmgbFt2hWANZMwq7kL1VgiLkpv+G+CEwRB8CmucuBIHpw1IlEKgiAIvsTfKzibfDemrRhJ02wyAbk/2XatjCLmtmdjCROjG0tI7hvpDwbNMlHcXFJA+jgJispOhYz8yJtJ0kuO6UpspbbJmGm+G5PbFjeR0L/4Cohsp0mUzN+FQY9GgwCRJV0yXk66pLJZhEqa5JwFTBmxGJEo46XA6I4EMfIaFNINVNnn19wOMa9BiMqPAXM/NTP1xKjJhLxvqRHMMRtOzPlxjHuIMZBo57Yo4XW+1kVKZeiizDMbpb8nOEEQBB8hv8F5QyRKQRAEwZf4bwUX8CpFcrlvtDyQwRnJVSdn2xh820qu5Nxl5nyiAONYCxlckkEmn0nLiWMcklSC4iWuKNM2x1C5ku7fppXeMuS4AbpRljoU40+ZjSwZdNLLlVZoZcFIDhjRkTSJUMtxoycid5BjY2lKe9HnkebE9bCvDXFOkte4gNSJKyA5bqEAlS7Ty5W0Tffc43PikET77KTZTcAxt1kX5TDku3HICs4b/pvgBEEQfIq4KL0hEqUgCILgS/JzBcds7qhLEcmm5q7q07i0PguZkZM0wUiRrOTCJalqx9KEbnM7wMmVpD+ehFsQMLvkdNnJm9uOaxdy8hiRIummnno7dexAP5chbRsStr3KkoGM/HNciTlSSV+Z35NUxqQvvatJsMQxSiTbuKOSbqwaIW++IJOITZ9f1kVJJWnX/P7g3kMBJulb+1gy8rsm0Zs+xxZSJCddXkiLHnFReiM/JzhBEIQcpHeCy+Q3uCwOJgeQCU4QBCFHEJOJN/wxwRHJj93kVJMlB5/0He9na0Vm0ubkR4u27qI0tzlnGlsPsK9NjwsxSd8FjNRE5StOWgxa9Gtt0LbFhqAWn+lAItHbmywZ5Gqf2qCIFMlsZKK7NGk8qX9Kro/uRECT2k2OSvocUWmY1qikzkmaAN5NxF5OrqSvpU3SN30fOtp71TX2a+9z5rOTaLP30892+uWNNj9on8X8mjhyBX9McIIgCHmAAjLa0y3PFEqZ4ARBEHIFkSi9kTcTnElm7N+2SQA1SR6c+zKtbNKvbRfPOcfM59EkHUaiDDAJtnEpKcQl4ILKn5ybkZMTae1Fj5Ij0w6wMl+SoME52b99vtDkTSJXaiPWHJUkgsqnjKOSbHfaz1Wq+v7PvAaKe36p5JiUMQNkI9SgJktSuZK8ryyck8GA+b3qaDJmopk2YdtmWxxl85kWcoq8meAEQRByHtEoPSETnCAIQq6QoUR5QSX1nQf8PcF5dTYxMqZ5h2Au0Zvp9yhjao4uq3p56d1lDiNdBpihJaUsTpY0t3X50UbGzLM/KwcJdVTGuF28CdQ96hpkRxvJuIDZRuec16TvgDe5MsA4Kh3OLcxsnaPi72ibJG4ryfPCqUsppMffE5wgCIKPkEom3pAJThAEIUcQF6U38meCY52T5jaXxBmPsapbZ1P/jt1dmLRh7ud2JuZz182yDyWQBbkwk3MEmR2ph5pYQo7NDajr0ybpmxIwSpSc85VJwmecrwFW9iSSZsCcDE7lSpsEcEeTJZHE8Bmx+VyyMULOkj8TnCAIQq6jnMyMIrKCEwRBEC5E5Dc4bwy5IlNXVwfHcVBdXZ3oU0phzZo1KCsrw4gRI3Ddddfhgw8+yM4DOk7yZkOA3AjKccjNwx9OTvKmHcf1a49pjmdvNjgqceOeGsdRiZupP+C45KYSt6EgpgKJm1dcOImb3p+8xZRK3pC8JWOT/9FYV/tPJW4x5RpvdtfqLT4TTG9z+lrS1zgIlfZW4EQTN+1YcqPnDwViiVsAKnELBdzEjb4Ptbc67afvYe2myA0pnzV6P/2csZ85Av0u4L4vhAuTIX2ZDh06hMbGRnz961/X+jds2ICNGzeioaEBhw4dQmlpKebNm4fTp08P5XAEQRByG5WFWx4xZBPc559/jrvuugu/+MUvcPHFFyf6lVKor6/H6tWrcfvtt2PGjBl4/vnncebMGWzfvn2ohiMIgpDzxF2UmdzyiSGb4O6//37cfPPNuOGGG7T+o0ePor29HVVVVYm+cDiMuXPn4uDBg9kdBNUzyE2THLR4GCUKNsaDbOhVrrR5TOWoxM2rdGkTbvpAuMpJ3DhoDJUNXRUgt2RMjNwoMTjZuSkkb0jeqHTpKgW3n2xJRUnt+hi5Uhs7I10OtSxJFbQguVGCjhowuZ5KjvpxSflR64ebuHFypR6jPN2oRBkIuIkbL1fSW6osaYPX+POKrN6sGRKTyc6dO/Huu+/i0KFDKfe1t7cDAEpKSrT+kpISfPrpp8bzdXd3o7u7O/Hvrq6uLI5WEARB8CNZX8EdP34cK1aswIsvvoiioiI2zum3elJKpfTFqaurQ3FxceI2fvz4rI5ZEAQhFxCJ0htZX8G1traio6MDFRUVib5YLIY33ngDDQ0N+PjjjwH0ruTGjRuXiOno6EhZ1cWpra1FTU1N4t9dXV3Zm+Q4t6VjjjGZ+6wSvT2PK4NjLfCiVrgWjkYqWcYs/m6iMa5WY5GcRwWM8THHHB/UxkD6iRxHxTUtEbovvIA+MfQ1UCQ5mdnOJlt/L/aXRLMBrUvZ03eN/BZE5rqU+vm4OqQ2dUu5WqXmrXP4na7MNVeV1u+k3J9JW68py7SHEtlNwBNZn+Cuv/56vP/++1rfX//1X2PKlClYtWoVJk2ahNLSUjQ1NeHKK68EAEQiETQ3N2P9+vXGc4bDYYTD4WwPVRAEQfAxWZ/gRo0ahRkzZmh9F110EcaMGZPor66uxrp16zB58mRMnjwZ69atw8iRI3HnnXdmeziCIAg+wksSLHd8/jAslUweeughnD17FsuXL8epU6cwa9Ys7N+/H6NGjRqO4QyKIZGyMzmnhfTAVTGgujyVGuMJ01qtQzCxRE7U5ErS36OSfr4CIvnpMcm3ZCHZeoXKmPQ8Wk1EIk31ULlQu24iuWkSZF8tSq0P5lh6DsXJlWYCjIzJyZJURqUxsQy0priM2JMmDtDrUgYUrT9pUa/SYnskboscCld/ktut3lhf0uJnhJz4eUokSk+clwnuN7/5jfZvx3GwZs0arFmz5nw8vCAIgpCHSC1KQRCEXEFWcJ7wxwTn1cHEmd2Ge4de5a3tEE1Fce9cRnfRZUnzQ8WlRpeRMHuIPBdmpEtWlgQXk9xBOkL6A4yzr4e8hYPMc0AlMfq4AYOLkuq4dOsZ1l1JxkKfR06KtJExuW1ubDhfmw31TwKPw7kotWO5Xd4tdovncNJIkJz8aNM/iLKoQ4fsJuCJC+mlEwRBEISs4Y8VnCAIQh4g2+V4Qya4XIaRLhXbdtK2TXIk7Yu6xC0ZIM5GNyknhhzSJs47KkVqsiRxS1IXZZAM3mbH6QjMkmYPpzFRmS3+WAZnZf/+gOZsJJKnJnEzYqFN0jznqGQkv0wclXG4pG8tRnu+mH72/BYOU8Z1aeec9PAccCqdjXo33Aqf/AbnCZEoBUEQBF8iE5wgCEKuwO3W6uU2CDZv3ozy8nIUFRWhoqICb7755oDxzc3NqKioQFFRESZNmoStW7emxOzevRvTpk1DOBzGtGnTsGfPnpSYEydO4Ac/+AHGjBmDkSNH4i/+4i/Q2tpqPW6RKCmDFKhZpcRjPxdj1yZvXGr/oxIl6Xdds0RJ27E+OTLGyJJRZW5zSd+aROkm33o9RKLUEoi5xGKV3jmp4ZCUZi68Tx5zGVmSOhsLNSnSbEF1NUcgrZFJrzX9lw0nP7oW79VY2oj0WD2/BJtEbz2GcU4yjkqmRCyPIdGbrzOZPoaSst3WeSC+MXkmx3tl165dqK6uxubNm3H11Vfj7//+7zF//nx8+OGHmDBhQkr80aNHcdNNN2HJkiV48cUX8dvf/hbLly/Hn/3Zn+GOO+4AALS0tGDRokX42c9+httuuw179uzBwoULceDAAcyaNQsAcOrUKVx99dX4y7/8S7z66qu49NJL8W//9m/48pe/bD12meAEQRByhWH4DW7jxo249957cd999wEA6uvr8etf/xpbtmxBXV1dSvzWrVsxYcIE1NfXAwCmTp2Kd955B08//XRigquvr8e8efNQW1sLoLegfnNzM+rr67Fjxw4AwPr16zF+/Hg899xziXNffvnlnsYuEqUgCIJgJBKJoLW1VdugGgCqqqrYDapbWlpS4m+88Ua888476OnpGTCGnnPv3r2YOXMmvvvd7+LSSy/FlVdeiV/84heexp+fK7gMsmHj6komMoGGjXRpeHxgAEWVkSVZKdIgSwKA27dlCSdFUkdlD3FOdjvJtxXnjKNyZbdbkGgHA0SaUlSyMtdEtCHI1p9MjdUlQZqETKGOQxJNnZbmcB0LhYuTIuk42S2AtH56bObSmlfpksJJkV6P5bbLoR8eUy3KnCZLid79N43mdmw5efIkYrGYcYPq+ObV/WlvbzfGR6NRnDx5EuPGjWNj6Dn/+Mc/YsuWLaipqcEjjzyCt99+Gw8++CDC4TB++MMfWl2urOAEQRByBZWFG4Dx48drm0ibpEaKlw2qufj+/enO6bourrrqKqxbtw5XXnklli5diiVLlmDLli0DjpWSnys4QRCEPOb48eMYPXp04t/cfptjx45FMBhMWa0NtEF1aWmpMT4UCmHMmDEDxtBzjhs3DtOmTdNipk6dit27d6e5uiQywdmgyT6Gv1qGxDlJ7V2K6SfxtBCia7aGaQndmqOS7JDtki1Z+uKpbEllySiRJaNkB2Zd0iQxbtLX101rSBIZ8xxxSGraG9UaMthEW9ttnLgr49dawCQzF5L+HuapjmmJ6eYYOlw9fvCOSg4vQm4msiW36zdXr5I9D5fcbXGsY5IlGZT549Ev5gLVNLNkMhk9erQ2wXEUFhaioqICTU1NuO222xL9TU1NWLBggfGY2bNn41e/+pXWt3//fsycORMFBQWJmKamJqxcuVKLqaysTPz76quvxscff6yd55NPPsHEiRPTjjuOTHCCIAi5wjC4KGtqarB48WLMnDkTs2fPRmNjI44dO4Zly5YB6HVAnjhxAi+88AIAYNmyZWhoaEBNTQ2WLFmClpYWbNu2LeGOBIAVK1bg2muvxfr167FgwQK88soreO2113DgwIFEzMqVK1FZWYl169Zh4cKFePvtt9HY2IjGxkbrscsEJwiCILAsWrQIn332GdauXYu2tjbMmDED+/btS6yk2tracOzYsUR8eXk59u3bh5UrV2LTpk0oKyvDM888k0gRAIDKykrs3LkTjz76KB577DFcccUV2LVrVyIHDgC++c1vYs+ePaitrcXatWtRXl6O+vp63HXXXdZj98cENxTVR9M5FJn7rZK1XXO/Jl26TJuJgeaWJHIN7afqG5P0rcmRsV6hTdspm9acpLIk46gMaduhJN2SVI46R1yU1FWnOypp0nd6GZOTzTgKTWnRjOOSPh9cvUoNLcYcpCWGa/3poVInl9x9vrbR4bCpV2mDM0j7stVRFqrksEuXw7RdzvLly7F8+XLjfb/85S9T+ubOnYt33313wHN+5zvfwXe+850BY2655Rbccsst1uPsjz8mOEEQhDxgOCqZ5DKSJiAIgiD4ElnBUSxkRyeez0GW+jaypENkJIdzQtpImox0qSmtWl1Ks1zpMo7KmMFRSeXHEJUiY2R7Gq6moJboTdpuyBjfzbkoKcyfZcFMpOrEjt5p7kf/epWusV+TGS2clhSvNSRpvJ70zcTH3bGMJkf7s5EUPhi87uLNB8XPM/jrGHZZkjIMJpNcRlZwgiAIgi+RCU4QBEHwJfkjUWoSIZXtzOE0RkuijksdHqVIh3NOWjgkucRwKjmSHWegguZMZM1RGSMSpUPrTyaPjUuTQXL9PUSidIhbMkgSxCMwy49Bpt3tmnWTABkL3TqHrUWZQQJ4gjS1KntjqDZMJF1yQCGTMK5JnaQ7k780OVlS6ycP7BrkOq9SZLakSxsp0ibGZnubQcVeYDjI0GSStZHkBvkzwQmCIOQ6w5QmkKv4e4LzaDrgVnYmE4m2UtNWZ1latWltek7z42rjJaszpdWGov1mw0ksljwgvoKKkmVBkGx4GmPy4+hf3NSgQstzcVXkaeX/bpu3J7k+bdeA87Sao/lrtMxXhDzxdLXKGVGoUSTo8TuIM5PoMakndZkvu5jHJ8yVXzrOH2Iy8YS8MwVBEARf4u8VnCAIgp+QFZwn8nOCYw0nTAkmk6GEK7HFmU8YuZLLcbPKg2POT80k3C4DikiRipg5aM5PXK6k5ZECMWoyof1EoqRlp5hfxNm8OVLOyzNsflwWykQxcmWMMZMEdDeQ8TyaLAnm/WYBd3Xp8tw044kyP3kxaqJhYthxeYwfbrR8NxsnB72885QrJ5VMvJFb70BBEARBsCQ/V3CCIAi5iEiUnvDfBMfuDuDVUUnbKqXfyiHJxlAnpNl1aeOoVOx5NA0tGa/VjyKyZIzmwZGYPntegDguo1p5LpA2GQvJj3NiVH5MtiNMOS+KVtqLug9puSsmP06T/CwclUEvn3xy3YXksIjWTzZIpXmGyvx8WEmXDKwUScuxweyaNWEjLXqVHzl5M91YsoZf3PEywXlCJEpBEATBl/hvBScIguBTxGTiDX9PcEwJKN0hmSo/Av1W8gZ5UU/WNu8OoCeDe5UiSZtoVkTt0tp0La6V7QowjkpGunRJv9P3ALEYlR+TsdEYI0vSYVnsMhBxkm9DvYRXBm9PRpsIZLLjgAlysUH6PtD6SaI34zDlpEuvJbFMZbj6n8fkouTaNImbS+im8mO2nJPabhd5Vn1jQKSSiSdEohQEQRB8ib9XcIIgCH5CTCaeyJsJjjoLdfmRS+42J4MnZD6t5qS5PqSdLGkhY7IuTQtHJS1USORKTamgkibRIN2+eIe4LImCiUCAbmBKJC7yOHQD1R4n/QapXL1KKl1aOSrJ8xEM0Ncv2TTpF0E2bdoCJhnc1XTrmDFGd1Em/+HJ3Qle0tTqjfbFuNpOCIz8SKVLJl5vm+OHXXL0yRe7/AbnDZEoBUEQBF+SNys4QRCEnEckSk/k5wTnMpIVV3/SJBdyNSctkr6HpE2zgwPmGF1fTDaVdmzqpqh0Q1QqqdKtdXTnJG1TpyV1ClrIlYyLUpMuyYvTQ89pIUuaNk4NZCJREjTHoRNNtlVyjLSOJXVaUlmSuiK5up78tjeMM7JPOuRqUXL1J3X5Mb3MyDk6uRgb6VJxMczn0XdkKFH6+rkxkJ8TnCAIQi4iKzhPyG9wgiAIgi/x3QpOce5Hrk3RpEjiujRIl5r7kSZHJxUoz0nf7NY5VgngjKNSS+imid7k/Gl2/abnczVHZXYSwIPEaRmhLkrNOUl2GuekSye9LMnVrkzcn62PhCZLJs+py5I0oVqZY2i/R/chK0EmEr3N8iOX3E3PofdbbLvDnIe7JipFcouOrOfscz9RXEjICs4TvpvgBEEQ/IqkCXhDJEpBEATBl/hjBcfVnLSAlTGpzEZkx0QtSprorcmPYNrpZUku6TtA5ESXcUhy9Sr1GpVmF6We6E37+yRKckJFkrtdMkaXSfTOJAE8wuwSHrSRLjW3JJMMbpQos+OipMTIOQvpHZo6R3cGD5h62W2FtLOwEiF1VPbG9FBHJ+uWZBK62aRvi0Rvi2R0Di6Gd1ca+rO1iuEc2MIFgz8mOEEQhHxAfoPzhEiUgiAIgi8ZkhXciRMnsGrVKrz66qs4e/YsvvrVr2Lbtm2oqKgA0OtKfOKJJ9DY2IhTp05h1qxZ2LRpE6ZPn57dgdi4KD22E3KklizObJdjtbt3+rbi3JUWNSrBbHWjyZLaTt+0HXdRki4qc9KdqqnTksiPLpETo+QxuQTwIDlngEiXUa3OpI106a1eZfxPPa+1H20IOub3R5BxLuouymQ7pqhFNz2sczHuoiR9NEm+h7o+meRu7ty609KcxB1jXJc2x1Kskr77YMXPHFvRiMnEG1lfwZ06dQpXX301CgoK8Oqrr+LDDz/E3/7t3+LLX/5yImbDhg3YuHEjGhoacOjQIZSWlmLevHk4ffp0tocjCILgL1QGtzwj6yu49evXY/z48XjuuecSfZdffnmirZRCfX09Vq9ejdtvvx0A8Pzzz6OkpATbt2/H0qVLsz0kQRAEIQ/J+gS3d+9e3Hjjjfjud7+L5uZmfOUrX8Hy5cuxZMkSAMDRo0fR3t6OqqqqxDHhcBhz587FwYMHjRNcd3c3uru7E//u6uriB2DjqPQsUdLz9/6P3c6Guhk19yVtp0/6ptvc0CRuGqO5K6lyyMiP2o7lFq7OhJrHyLH0HC6zpY7DSJHURUkTxllHpVUCOCNdeqhXqW2tkzVI0re2wTqVDaksaZYuKZyj0spF2Rfjcq5IVjY0uyJZ1yXjtHQt3JW0n0v61oyLzMuWDUnOuZAckmIy8UTWJco//vGP2LJlCyZPnoxf//rXWLZsGR588EG88MILAID29nYAQElJiXZcSUlJ4r7+1NXVobi4OHEbP358toctCIJwwRP/DS6TWz6R9QnOdV1cddVVWLduHa688kosXboUS5YswZYtW7Q4x9F/9lVKpfTFqa2tRWdnZ+J2/PjxbA9bEARB8BlZlyjHjRuHadOmaX1Tp07F7t27AQClpaUAeldy48aNS8R0dHSkrOrihMNhhMPhzAbG1p9k6hdqcmHyHyrYt8u1ltxNXZbkOI9J33a7eCfb6nw5KrX6lPT+1N2/+z+mlgBOHJIxuu2OtjN4wBgfpW5MEkO33WETwIn7kHNXJs5hSP7uj1ZHU0tyTl/L0NXeWES61PYvSjZpydCg481RGWPkRZOL0nQ/AETYZHDiwCQxnMzItj3GWyV0p0nudpg2VzuWMuxypUiUnsj6Cu7qq6/Gxx9/rPV98sknmDhxIgCgvLwcpaWlaGpqStwfiUTQ3NyMysrKbA9HEATBN4hE6Y2sr+BWrlyJyspKrFu3DgsXLsTbb7+NxsZGNDY2AuiVJqurq7Fu3TpMnjwZkydPxrp16zBy5Ejceeed2R6OIAiCf5AVnCeyPsF985vfxJ49e1BbW4u1a9eivLwc9fX1uOuuuxIxDz30EM6ePYvly5cnEr3379+PUaNGZXcwLpWbyLYtRB6jSg+/vQ6JiR+rSZtml6G2yzbnqLTYRsfKdUkv1TH3K0YCTeeo1GXJ9I5K5VCJkshgxKEYo9IliaHiUjBg3kk8yjgtM0kAT8QyEiV1LfbYyINMajHfT1yUzG/RnEPShnQuSipF0kRvl5EiNVlSeYuxkSWVRdsoRfZH9ft//7bga4akksktt9yCW265hb3fcRysWbMGa9asGYqHFwRB8CeygvOEFFsWBEHIEaRUlzfyZ4LT6g4yUiQlnVxp4X5UKn0MKzNa1Khk3ZXcljqapGh2VBrrXhrqU6bGZsdRySWDUykyqiV3m2O8JoAnalFyEqWFu5JSSBySEfJ60+1yIqRN3ZjUaRmgtSg9jUDHlNRNZUsqS1JpMaLVpeR25eaSxM1uyZiNu1JrJ69D/1g6xn5PciTnqGRihNwifyY4QRCEXEckSk/IBCcIgpAryATnCf9NcIrR6jxLkeZ23PWoTFvooL/jESQG5n6LrXa0odskd2sOSe5xyXkYSTMhO7Jb92TfUekwyd02W+rQ7W8GmwDeQ+RMbVdww9Y6tnC7hHOyJJUOg8yDBZlalDGLWpRuQqKk0mL6nbg5h6RVmzyvUaatS50WjkoQFPM5Uvr/Uw9kyLOJwK/4b4ITBEHwKWIy8YZMcIIgCLmCSJSe8McEpxi9jY23kCW5XbT7pCrOLalbvsxJ3w4doimJHIBDj7VI+mZdl1S54STQdE5LTt4ZAkcl3a6GylQhRkKLMrJkiNS37PGYAG7qo9vswOPbzWWSu21kSZeRN7mEce38TO3IOD1MnckeJunbRorU3Y/kdeISvTNJ+ube/ya5knFLZiJdDntdSiEt/pjgBEEQ8gCRKL2R9WLLgiAIwhChsnAbBJs3b0Z5eTmKiopQUVGBN998c8D45uZmVFRUoKioCJMmTcLWrVtTYnbv3o1p06YhHA5j2rRp2LNnD3u+urq6RB1jL8gKjkLlRbZGZd//OBcllRY5GdOzLEnHYu5nnZZMDUytZiY52OS65GpVaqUAh8lRSSVHl8iS2pY65Pw96RLAqXPSRoKykCu5XbmpbEidlpx0SeHcldr5tUTr1HiaxK27JRlZ0iVJ3xb1J3sYVyR9bWg7xrWVWdrWpfM0/RaJ4Jx0yRhWh4dh+A1u165dqK6uxubNm3H11Vfj7//+7zF//nx8+OGHmDBhQkr80aNHcdNNN2HJkiV48cUX8dvf/hbLly/Hn/3Zn+GOO+4AALS0tGDRokX42c9+httuuw179uzBwoULceDAAcyaNUs736FDh9DY2Iivf/3rnscuKzhBEASBZePGjbj33ntx3333YerUqaivr8f48eNTNrGOs3XrVkyYMAH19fWYOnUq7rvvPtxzzz14+umnEzH19fWYN28eamtrMWXKFNTW1uL6669HfX29dq7PP/8cd911F37xi1/g4osv9jx2meAEQRByBCcLNwDo6urSbt3d3cbHi0QiaG1tRVVVldZfVVWFgwcPGo9paWlJib/xxhvxzjvvoKenZ8CY/ue8//77cfPNN+OGG27gnpIB8bVEycmIYBKzVcAcr0zHWiRf6wniYNrMVjWspJm+32YbHU7SpA7PuGNNe444SU5zupmvWzFSk1dHZUCTNxlZkmizAcYtGdW2zuk7llyfqVblgDDPjcvoQgFNliTPASNd6g/lNdE7NXmbqy3pNYlblxzTJ3Rryd1u6riAAZyTzPspnexoVWfSwlE57M7JLEmU48eP17off/xx4+4uJ0+eRCwWQ0lJidZfUlKC9vZ240O0t7cb46PRKE6ePIlx48axMfScO3fuxLvvvotDhw7ZXl0Kvp7gBEEQhFSOHz+O0aNHJ/4dDocHjHf67VGolErpSxffv3+gcx4/fhwrVqzA/v37UVRUNODYBkImOEEQhBwhW2kCo0eP1iY4jrFjxyIYDKas1jo6OlJWYHFKS0uN8aFQCGPGjBkwJn7O1tZWdHR0oKKiInF/LBbDG2+8gYaGBnR3dyMYTL/xsP8muGxJCGlqV3ISpuaKJMndKpBeTrFxVyomRjHuTc/b6GjX0tfg3JqcTMu5KJnSoF4dlTRBW5clSb+207d5Sx1dgeztDwap43Lwyd003mVseAEt4Zleh1m6pNjsKk4xyZGm+pT9z821u10uATxgbEct2lo9TEbCVi7Vfp307USiN/P58JjcPeycZxdlYWEhKioq0NTUhNtuuy3R39TUhAULFhiPmT17Nn71q19pffv378fMmTNRUFCQiGlqasLKlSu1mMrKSgDA9ddfj/fff187x1//9V9jypQpWLVqldXkBvhxghMEQRCyRk1NDRYvXoyZM2di9uzZaGxsxLFjx7Bs2TIAQG1tLU6cOIEXXngBALBs2TI0NDSgpqYGS5YsQUtLC7Zt24YdO3YkzrlixQpce+21WL9+PRYsWIBXXnkFr732Gg4cOAAAGDVqFGbMmKGN46KLLsKYMWNS+gdCJjhBEIRc4jyvKBctWoTPPvsMa9euRVtbG2bMmIF9+/Zh4sSJAIC2tjYcO3YsEV9eXo59+/Zh5cqV2LRpE8rKyvDMM88kcuAAoLKyEjt37sSjjz6Kxx57DFdccQV27dqVkgOXKY5Sw20L8k5XVxeKi4vxrVF3IeQUwgkS2YIuXUPJ+dsJBIz9CCXjVSho7i8g7b7zq4KA+f4QkVZCRBYi8S6NKXTM/WSIbH+BtxilnZPrVyn9pr7etjK2QWQ+hMju1LRNYoKhpJYbDCZjQlo7GVNI4guIi7IgSPtJPD02ECXtZH+orx0OmM8RInpzgUOPc439tE23tqH9AdIfJN9aAUbSDGbwzWbeLockd7OSY3qJMkLa3bFk+2ws+eY7R/rPRJP7mp+LkpgoOTaS7I/0kLFFSLJ5N/m8RojEe47I2ed6rzF4ltT6PJc8LHSGtpPPb+EXpH2avK6fJ98/of9InijwH58n2u7/9x8AgKiK4PXTL6Gzs9Pq966BiH/nzfh/1yFYOHjTRSxyDn9ofCQrY8oFJA9OEARB8CUiUQqCIOQKw1CqK5fx9wRnswuzx3qDTtzlpyWcmuswWiV9c0nZNkmsXNK3Rb1Kbrsc02MZt9ABBkhwp+30jkrqkgsEqJRmTvaNMa5Izi3JbaljclQGGZcl+/7hkrvJeKnUSROxqXSpb+ND+km7hzyUjVzJuSTjY9CSyy1clFxCN92OiEqX1CEZYepYcrUoXaYogJ2L1xBjU3PSItGbya8/b8huAt4QiVIQBEHwJf5ewXGkyXEDoK3+HJKbpUyxFmV9uFw2m9WZzXkyyonTYmg+kRowVjFlxthdBgJ07LT8F/nLnT7vpNIBLeGl7SZA+8nDcjsOcPlx8T/16A4D2p9/HldzLq3SQPPtyOPTFZS2KwLtZ0pv9Rh7eUyrNVczmdiU5DKv1LppGS66aiPGEnYHAavcN26TU/r+G/g9z67OuM+fzWpuOBCJ0hP5OcEJgiDkICJRekMmOEEQhFxBVnCeyJ8JzsJMosl8XCWYxG4CVDY0l+3StDrX3M9uZmphJvFqLOHiFTOG+LF6LB07lRnJ42jSnmOO0TZCJd0WhhNa2itGjnUY+VHbLJUaThymFJcJRq6M0U1ciVwaIsYSOnYqUeo5ceYSYUG2zJdZ0uSgxg7TbgKabAizmYQzkNCYSMwsV2omFhoTM5tYXG6XgZhZ+uVKxSWeJtbMRfoZUxhnFstaWUBhyMifCU4QBCHXkRWcJ2SCEwRByBHkNzhvyARn46hMJ0tolf9JKAnh5EfeUelN0mSlSEaaUdx4DPFaH7dpKuPEZB2VWk6cV0cl454jEqFNflyE7PaQSI9jpEoqk8VoOS/6hDC5fbTMlyYtMtIlK1daJGHFGIunJvEaNzxN3h9VXI6b2VEZ0dqkrBaRH2mbd04SSTPGyZL0Dci8DwzvYc4V6bjmDyw3EeTbBJHryAQnCIKQK4hE6QmZ4ARBEHIERynN1DaY4/MJ/01w2SrPlS6GqkXUccm6K83aHl82iNugkToC08dkkvQdP1Y/n/kcnOSokYGj0tESvZMxVGX0mgBO3x8JuZK+lqwzlA6dyHygsmQyiEqqtBQYlSsDWnku8/OXPYly4ERvGtvDlNuijke+n0qdxHXJOCdjMbJDh0vbTHI346g0Fi7gZHsLtzIrS2rv4fyaOHIF/01wgiAIfkUkSk/IBCcIgpAjiIvSG/6e4NjsY4ImaVo4KuOuLBrLuRkZGdPORemxzbglrZyWXlyUbBJ36nOU0qZiIeeoJINRVP4jF0UdlbRtkwCOGJPB33codVa6WqK5S/rNG5665EGp0zJI3Z2aLGmWKIMW30LeE70NEiUjRUaZ2pJaPUllTu6mG55yLspozCxLUuekVouSxICTJdmkb8P97OfA/NOBJHfnLv6e4ARBEPyESJSekAlOEAQhRxCJ0ht5M8HRGpHpBZ1+UDnNpHBZJItrTkRmY1OrupQWbU4mZTdXZRK5k/KOWVqkjkfOUUnPTeVH1lGp1Xak3bTfLFHGNHslI0kHiQZJZLO4Y9TVtvQhj0nlSm0jUXM9SW4rHF6WNI83kMGf3PoWOQNLlDSW29g0ytST1NySjEOSypKcc5JKzGzNSfqej9HPTppEb5vPgYWEz0mawoVJ3kxwgiAIOY9IlJ6QCU4QBCFHEInSG/6Y4NJJiCnxdItlIg1ZuKXisoRiYjXZgtvFWzsf85Csi8uwFUi/ttekb1ZpUQPHah8WC0cllRO1GpVENVRUZtTye7msfYYg3dPGfKwiDkjjU8DUlnQZ6ZLKj1HyHNCtc3SJ0pssySWAu9qTaUaXVZ2U42yckzGmn5MlI1FGuiT9bswsS3LOSTa5m7ZjqXKljUSp/0RA38MX0KwgKzhPePzWEARBEITcwB8rOEEQhDwh32TGTJAJzqsTKm2NSrNcqieRUunSnFzK1qXUJBVyLONKZLfLsXGVOQPHUgnRxlGpuSiZ2o56hjY9P3EoOpp2SQ7mnJNmuVJTUg2yXZDIbVpCN5ElqWwXZOpJUslPkyiZWpQUTpbk4ORKl+7oDZNEmV6KjGkxJEmcSeLm3JJ6QjeVKLmEbsfYbyNXJmR25nNj55akbUavP1+OSqUye6w8c36KRCkIgiD4ElnBCYIg5AjiovRG1ie4aDSKNWvW4KWXXkJ7ezvGjRuHH/3oR3j00UcR6HMsKqXwxBNPoLGxEadOncKsWbOwadMmTJ8+PdvDGTRUxjBu/2KoTwnotRo1p6W2EzGJt6kVyZzfc9I3c05O3okrVTaSI1ejEjGaGE7lJeOwdFmS7oXDaJoutCccJqh7VBG5MqBJxW5qLOOyjDLSZZTbUZyRJR0mhmIjUVq5KLVr7W1T6VTbsZyRImOMXGkjS0aj5LGIpOlGmZ27GSmSvm9s2gkDq1cXJX3vaW7hYZ4hxEXpiaxLlOvXr8fWrVvR0NCAjz76CBs2bMBTTz2FZ599NhGzYcMGbNy4EQ0NDTh06BBKS0sxb948nD59OtvDEQRBEPKUrK/gWlpasGDBAtx8880AgMsvvxw7duzAO++8A6B3VVNfX4/Vq1fj9ttvBwA8//zzKCkpwfbt27F06dJsD0kQBMEXOG4/RWUQx+cTWZ/grrnmGmzduhWffPIJvvrVr+LIkSM4cOAA6uvrAQBHjx5Fe3s7qqqqEseEw2HMnTsXBw8eNE5w3d3d6O7uTvy7q6sr28PuxctO35psSGQ4LdZ8bqu6lFTCo+tsJumbc1Sy7jFaczGdZMMkZTuam5Hqn3SI9Jro80TrSdJ4GNFfGUauDJgPVkyyezCYKkHS2Bh5HoOkIECQyJJUwqNyoubtZKRIG4kyE0yyJO3X7ifHcVIkfT7YGM4tycmSRLpElJEluX5ar4GRMeNvjwB937KOS/Nn1GobnfOFSJSeyPoEt2rVKnR2dmLKlCkIBoOIxWJ48skn8f3vfx8A0N7eDgAoKSnRjispKcGnn35qPGddXR2eeOKJbA9VEARB8DFZ/w1u165dePHFF7F9+3a8++67eP755/H000/j+eef1+K0v/7R+5dz/744tbW16OzsTNyOHz+e7WELgiBc8MRdlJnc8omsr+B+8pOf4OGHH8b3vvc9AMDXvvY1fPrpp6irq8Pdd9+N0tJSAEg4LON0dHSkrOrihMNhhMNh74Ph6snZvMqDTeL0WJeScz+CTQA3SzS6jAljDJvobdgiR4u3SeiOMTGg0DuIbEjlI5hlM4r+NCUv3AkqY39Akyhdc0wgvl2OWUKMkfdPkEihuswIpt+bLJneE8mjG/44yba3n0qLWtK7m95dSWtzUllScf2x9LKkltwdNUuOARsXpTLEs65hKu2nj2G/UyTR+4Ik6yu4M2fOJNIB4gSDQbh9BY7Ly8tRWlqKpqamxP2RSATNzc2orKzM9nAEQRCEPCXrK7hvf/vbePLJJzFhwgRMnz4dhw8fxsaNG3HPPfcA6JUmq6ursW7dOkyePBmTJ0/GunXrMHLkSNx5553ZHo4gCIJvkERvb2R9gnv22Wfx2GOPYfny5ejo6EBZWRmWLl2Kn/70p4mYhx56CGfPnsXy5csTid779+/HqFGjsj2c9HhdsvfJEppzkpMzNdci46LUtr9hHJJUfgkwbYt6kayjkm5jk0ai1ORMLRHbLNuxOOZ/KJoIDbOsq+lwpN6n9lwSh6SuTpNdvMkdbp8zMqBJlMnjAtQ5SaQ6TnLkZEkK18+YQa3g8pCVwVHpGpyV/WO1bYJoO2aWMbktbxQjP4J1SyJtf4CNR0p/gDh4bRyV+lZQpD3cEp+4KD2R9Qlu1KhRqK+vT6QFmHAcB2vWrMGaNWuy/fCCIAi+RVZw3pBiy4IgCIIvkWLLFE1SJP0mWYKVJZNNvS4lmBgiZWnJ3UztSsb1RVMs9DqaXNI3GQ+V07Q6kkiByeTQJEeadOtymkjUfH1gnlYnaO7XLJuabEzkMfoca21y/j7p0nXNMmOMXDgnYzqMLMk9Z16lSw6Vxi3Z2069X9uqRnNRmm2zrBTpmmVJWNSWBCNFBnq8yZXpnJbce1+XK5WxzX2+hyfRW1yUXpAJThAEIUcQidIbIlEKgiAIvkRWcBzcUj7NEl93SDJJ31RCpG5JRorUEq253b0ZRyV1j7nMdjWaS9IgS6a9HwCi5u4ALORK+lDMbueaDEf/LOOkS5eRLrU2edx4v2OOpc+BlgxOx85m7dMYJj5L8HIl/YeTEsvJmVR+1LZK0vrJuZmduB1GrgxQxyPrljS3uRhdulRsH9BPlrSJYX+aOE9VjMVF6QmZ4ARBEHIEkSi9IRKlIAiC4Ev8t4LT9p8JmkOodOhqVkRjvOZKjP8JxDmruO20uaTvmFkGc7jalZq0mN5RycmLXMI23XHajR/MqIOsKEPlSu2yGfnRxiHJvay0n5MutRimHma8X+uDMVZ77hzm9WP6KawjVQsyJ/9zsAq69rZ0Uvq0Wqmc/KjMMqPu8mUcktyu3NQ5yfVrMibM/Uyid/ycrMuSrUtJnzCQ9jAvgVyV2a7iw70j+XnGfxOcIAiCX5Hf4DwhEqUgCILgS/JnBWchXerxjNQYh8oZWoIxjQGJYU7H1p/kJDHSprKPJiMyzklaK1FLxjYTP4/LaGzsRuPk6dXOzUhiVCZyg/R5NZ9TSyxmanPSLXg0WZI6I+mu5vHnhisEaSFdUhT3mjHnzBo2W6LH28osM2oOVCYJX5ciGWcvJ1EyMTa1JTlHpdamn51o/H7zzwJsW3NX0n2m0nwvDDEOMjSZZG0kuYGs4ARBEHKFeCWTTG6DYPPmzSgvL0dRUREqKirw5ptvDhjf3NyMiooKFBUVYdKkSdi6dWtKzO7duzFt2jSEw2FMmzYNe/bs0e6vq6vDN7/5TYwaNQqXXnopbr31Vnz88ceexi0TnCAIgsCya9cuVFdXY/Xq1Th8+DDmzJmD+fPn49ixY8b4o0eP4qabbsKcOXNw+PBhPPLII3jwwQexe/fuRExLSwsWLVqExYsX48iRI1i8eDEWLlyIt956KxHT3NyM+++/H7/73e/Q1NSEaDSKqqoqfPHFF9Zjd5QabluQd7q6ulBcXIxvjboLIadQdw1SiSlIdC3H3O/QzVlpfJD0kxgV76fHhcgWLFo/OY62qTQWMpwbgAoRCTHIxScfyiXxKkiPRQb9hsehYzHEArqEx8Y4TD93rCYtMvFUf9FiOHnRcB7O/ci0lU28DV51JwtHpR6f2nY4iZKRK9laphYxVtKlwf3YPz7QQ9o0vidVlgSAYKTv/+T+YIS0u5MDC5B28FyMxCTbgTOR5OOc7U4+0Jmziab7xRkAQFRF8Prpl9DZ2YnRo0cjE+Lfedd8aw1CoaJBnycaPYcDr6/xNKZZs2bhqquuwpYtWxJ9U6dOxa233oq6urqU+FWrVmHv3r346KOPEn3Lli3DkSNH0NLSAgBYtGgRurq68OqrryZi/uqv/goXX3wxduzYYRzH//2//xeXXnopmpubce2111qNXVZwgiAIuYLKws0DkUgEra2tqKqq0vqrqqpw8OBB4zEtLS0p8TfeeCPeeecd9PT0DBjDnRMAOjs7AQCXXHKJ9fjzx2QiCIKQ4zhK6eXCBnE80LsipITDYYTD4ZT4kydPIhaLoaSkROsvKSlBe3u78THa29uN8dFoFCdPnsS4cePYGO6cSinU1NTgmmuuwYwZMwa+SIK/Jzia1BhkJB2b3bi1hOretmIshFwtSmiuSCaJmz4ml7itJZ3TZFiaoJ2EqwVp0x8fm56jbnaMas5GJnGbGlkV4yrVVDO6fRB9/Tj5kZUoHXOMoc1KmMxx2muZiVvSKuubYPMdx9Q5TbooMfD96OeW5OJZKdLGXWk+lk3u1uRKRpakMmbf5453UabG9o6FfhYvHBdlthg/frz278cff3zADaidfu9PpVRKX7r4/v1ezvnAAw/g97//PQ4cOMA+pgl/T3CCIAh+wsUAJYQsjwdw/Phx7Tc40+oNAMaOHYtgMJiysuro6EhZgcUpLS01xodCIYwZM2bAGNM5f/zjH2Pv3r144403cNlllw18ff2Q3+AEQRByhLhEmckNAEaPHq3duAmusLAQFRUVaGpq0vqbmppQWVlpPGb27Nkp8fv378fMmTNRUFAwYAw9p1IKDzzwAF5++WW8/vrrKC8v9/ZkIV9XcJlIl/G2hZypy5JESiOSh7aLN/17Q6sbSc5J5RoyXJqMbSNXKkYX1GpEBkz3k8OochNU5n4mKVtrc9IlE6O7H811N7nzaAnbBklTMXU8YVbqBkjiNv/Dq/nRK6waanJRprkf6OeWZKRL3l1p7mcTvZnkbj0Z3CwvarIkiYlLnew5ouSzyNSi1OrFMt8LOWhGt6ampgaLFy/GzJkzMXv2bDQ2NuLYsWNYtmwZAKC2thYnTpzACy+8AKDXMdnQ0ICamhosWbIELS0t2LZtm+aOXLFiBa699lqsX78eCxYswCuvvILXXntNkyDvv/9+bN++Ha+88gpGjRqVWPEVFxdjxIgRVmPPzwlOEAQhFxmEEzLleI8sWrQIn332GdauXYu2tjbMmDED+/btw8SJEwEAbW1tWk5ceXk59u3bh5UrV2LTpk0oKyvDM888gzvuuCMRU1lZiZ07d+LRRx/FY489hiuuuAK7du3CrFmzEjHxtITrrrtOG89zzz2HH/3oR1Zj93ceHK3dRPPaSL9D+9m8udScOEVy37ScOJrLxuXEablkTB4cl/um5dCZc+Xo0o7Lj6OrGja3LWB3/8D9Fis47lh2Feat39sKzny+zFZw5FhZwQ3LCi6g5cExuW89tJ/kvp1LDsbpTj4QzYNTZ88l2305cUORB3ft1Y9lnAf3xm9/lpUx5QL5s4LT7Iq0m8oS5JMXZOpVxt1ApD6dJmtxjkoqS9IZiLWjkRgio9CJkpMr6e7MtC4llfnoxKc7Iw0TknYdzGTHyYxE3tEnMnIeKtPSC/Gc0M3EaG7INJImexztN88ivIuS6fcaY+WcZE6vTWCOoc/cZt+eFhMi65y06k+dpPrHc/UnTQnguuNSGY9zGKel5qLk6lIKFyT5M8EJgiDkOLKjtzfyc4LjdhawyYkzrGq0v/AY6KpNcUYUegBdtVGJlPwZ7VD5jywfNLmSLiuo0kovlVuJ9fU7mlGErMjIX9OujRSpVfg3mFn6tx3z2K1WcxYypnGFxq3aKEyuTkYruGxhtYKzv9/rSo2N0VZqKn0MJ13SlZqFdJlYwdFVG7Oa03YNoOYTzmTiMu2hJIOCyYnj8whJExAEQRB8SX6u4ARBEHIQx+23Yh7E8fmETHBcThyVHbVSWfE+c86MJj9qsgWRPMiP4AhS+cPsuuyfzZaMN3dr8qNm/qBmkgATk3qsjbPRYYwiettbzpr2XHo1k3CP5UGitJMrzd2e3ZJZMplYuShNsRYSJS9FKqbfY5uRMW0kSt2UkipBUlky0EM/i0ybfv61vNVhNpmIROkJkSgFQRAEXyIrOEEQhFxhGBK9cxl/T3Ba4hdNxmZccDSHTb/DFEzOTXPcSIgWb35MzV3Jypg0qZa6D83J6LrrkUn0JmNmE7Pj1eAd82PaJGjbSZE2xzLlrhgZUdsg1YvsaCFnUhRXUf18OicprIvSLCMm7zefw8ZFaSNpss5Jts05LRkpUksSJwnbffEOU54rwEmU1MUcM8uVbN26ISRb2+XkC/6e4ARBEPyE/AbnCfkNThAEQfAl/lvBaUnZFjsFwCxjag5BKkvE60tS2YImYnNyJTcWKsUo7vFJfMAstVpJl5rTkcYQ+S+aKm/q5bMY+ZNzPNINQYNm2dBKfrQqw+W13/CaeHZOUgctE38eyYqLUothHJKe5Uqz5Mi5MdnE8BjTph/RGJUa+yTKmIUUqbVjJIYMhn7uY/QDdb4SvZHZfnD5tYDz4QQnCILgU+Q3OG+IRCkIgiD4kvxcwZlqS/beQZqMuzFxHN2clEkKV2b5EZycSOMdRgLVEslpMjORKzVZ0Dw27XEZ2TEer0lvVM7kzsfJfDby5mB3AbCMp7CPm7jffBxXi9Lq2CHAqoCu4S93GzmTd1emT+62SgZnJUpzIQXtWE2uZDYujccwSdwOI0tq8iPjnByWncYUMpND82sBl6cTnCAIQi4iLkpPiEQpCIIg+BJfrOC0BG1OPqKJmA4zr9u4K/v6NYlG29aFsfsx7k6alK1vIZO+LqYTNcuM2hi0GHoas7xJE70T/fR+TnLkJEHuWG4rHE6KZPthhnNmUgzvlSHftHSosZIrU7t4uVKZY1ymn3kcTTbUiiQwj8XKkkRe1MbDbG/T12+zganmlnRtpEtlbg8lLjJ7n0mxZUEQBOFCRFyU3hCJUhAEQfAl/l7BcUnfXI1KCueu7FMoFJU5qeTISZfauQPmGGJBcwxuxoHaXCI5J0XqEqHZgZl0UZL7NdciV4eRkS49H2sOYaVR7TzMsV53405znGe8/kmZLUkpzV/uNhKl3k+PZWI4GVNzYJrlSoeL4eK5GpFxCZLKnza1JZmEbqXFM+2hREwmnvD3BCcIguAnZILzhEiUgiAIgi/JnxWcjVypxdO533CsonXoHFMk79YMECnSQqrTjzXLm1o0Iz+y508zBnqvKRF8oHOz46LYjNGmn8BKl9rjpg/x8pgXNF7+crdQ21hZ0mu/ayFFMudxbI6Nt21i6RZS2o7eNJ7ZRud8ISs4T+TPBCcIgpDrSJqAJ2SCEwRByBEkTcAbnie4N954A0899RRaW1vR1taGPXv24NZbb03cr5TCE088gcbGRpw6dQqzZs3Cpk2bMH369ERMd3c3/uZv/gY7duzA2bNncf3112Pz5s247LLLMr4grj6cJgVaJWUSCZJKaLHUSP2BqO7F/LkUYCRN7TwWf6ZxEijzWDawkqnl/b2P6fGnXa/yn0U8G+Hx+cgK2ZI3z9eXUyZJy17HyEqXFksN5ljjdwB3TYpxUXLHsj9p5NfEkSt4Npl88cUX+MY3voGGhgbj/Rs2bMDGjRvR0NCAQ4cOobS0FPPmzcPp06cTMdXV1dizZw927tyJAwcO4PPPP8ctt9yCWCzd7CEIgpDHxH+Dy+SWR3hewc2fPx/z58833qeUQn19PVavXo3bb78dAPD888+jpKQE27dvx9KlS9HZ2Ylt27bhH/7hH3DDDTcAAF588UWMHz8er732Gm688cYMLkcQBMHHuMpy+4gBjs8jsvob3NGjR9He3o6qqqpEXzgcxty5c3Hw4EEsXboUra2t6Onp0WLKysowY8YMHDx40DjBdXd3o7u7O/Hvrq4uz2PLaGuLmJdjc/tX3Px6+wuC4GeymgfX3t4OACgpKdH6S0pKEve1t7ejsLAQF198MRvTn7q6OhQXFydu48ePz+awBUEQcgORKD0xJC7K/kYEpVRac8JAMbW1taipqUn8u7OzExMmTEBU9WQ+WEEQhCEg/v2U3Y1RM52kZIIbNKWlpQB6V2njxo1L9Hd0dCRWdaWlpYhEIjh16pS2iuvo6EBlZaXxvOFwGOFwOPHvuET5xuf/I5vDFwRByDqnT59GcXHxcA8jL8nqBFdeXo7S0lI0NTXhyiuvBABEIhE0Nzdj/fr1AICKigoUFBSgqakJCxcuBAC0tbXhD3/4AzZs2GD1OGVlZTh+/DiUUpgwYQKOHz+O0aNHZ/NSLji6urowfvx4uVafIdfqP+LXeezYMTiOg7KysuydXCqZeMLzBPf555/jf//v/53499GjR/Hee+/hkksuwYQJE1BdXY1169Zh8uTJmDx5MtatW4eRI0fizjvvBAAUFxfj3nvvxX/7b/8NY8aMwSWXXIK/+Zu/wde+9rWEqzIdgUAAl112WWIlN3r0aF9/YChyrf5ErtV/FBcXZ/86XYWMZEZxUQ7MO++8g7/8y79M/Dv+29jdd9+NX/7yl3jooYdw9uxZLF++PJHovX//fowaNSpxzN/93d8hFAph4cKFiUTvX/7ylwgGg1m4JEEQBEEYxAR33XXXDfijqeM4WLNmDdasWcPGFBUV4dlnn8Wzzz7r9eEFQRDyF+Vmtvfc+dq37gIhp2tRhsNhPP7445oBxa/ItfoTuVb/MaTXKb/BecJR2fWwCoIgCFmmq6sLxcXFuOEryxAKDH7ijLrdeO3EVnR2dubF76Cy4akgCILgS3JaohQEQcgrRKL0hExwgiAIuYJChhNc1kaSE4hEKQiCIPgSWcEJgiDkCiJRekImOEEQhFzBdZHRllw2O6X7CJEoBUEQBF8iKzhBEIRcQSRKT8gEJwiCkCvIBOcJkSgFQRAEXyIrOEEQhFxBtsvxhExwgiAIOYJSLlQGOwJkcmwuIhKlIAiCMCCbN29GeXk5ioqKUFFRgTfffHPA+ObmZlRUVKCoqAiTJk3C1q1bU2J2796NadOmIRwOY9q0adizZ0/Gj9sfmeAEQRByBaV6ZcbB3gZhMtm1axeqq6uxevVqHD58GHPmzMH8+fNx7NgxY/zRo0dx0003Yc6cOTh8+DAeeeQRPPjgg9i9e3cipqWlBYsWLcLixYtx5MgRLF68GAsXLsRbb7016Mc1IdvlCIIgXODEt8u5vngxQk7hoM8TVRH8c+c/eNouZ9asWbjqqquwZcuWRN/UqVNx6623oq6uLiV+1apV2Lt3Lz766KNE37Jly3DkyBG0tLQAABYtWoSuri68+uqriZi/+qu/wsUXX4wdO3YM6nFNyApOEAQhV3DdzG/onTDprbu72/hwkUgEra2tqKqq0vqrqqpw8OBB4zEtLS0p8TfeeCPeeecd9PT0DBgTP+dgHteETHCCIAh5xvjx41FcXJy4cSuikydPIhaLoaSkROsvKSlBe3u78Zj29nZjfDQaxcmTJweMiZ9zMI9rQlyUgiAIuYLKME2g7xep48ePaxJlODzwLuGO4/Q7jUrpSxffv9/mnF4ftz8ywQmCIOQIynWhnMzTBEaPHm31G9zYsWMRDAZTVk0dHR0pq6s4paWlxvhQKIQxY8YMGBM/52Ae14RIlIIgCIKRwsJCVFRUoKmpSetvampCZWWl8ZjZs2enxO/fvx8zZ85EQUHBgDHxcw7mcU3ICk4QBCFXyJJE6YWamhosXrwYM2fOxOzZs9HY2Ihjx45h2bJlAIDa2lqcOHECL7zwAoBex2RDQwNqamqwZMkStLS0YNu2bQl3JACsWLEC1157LdavX48FCxbglVdewWuvvYYDBw5YP64NMsEJgiDkCq4CnPM7wS1atAifffYZ1q5di7a2NsyYMQP79u3DxIkTAQBtbW1ablp5eTn27duHlStXYtOmTSgrK8MzzzyDO+64IxFTWVmJnTt34tFHH8Vjjz2GK664Art27cKsWbOsH9cGyYMTBEG4wInnwX0rvDDjPLjXu/+Hpzy4XEZWcIIgCLmCUshoR+88W8/IBCcIgpAjKFdBZSBR5ptgJy5KQRAEwZfICk4QBCFXUC4ykyjza7scmeAEQRByBJEovSESpSAIguBLZAUnCIKQI0RVd0YyYxQ9WRzNhY9McIIgCBc4hYWFKC0txYH2fRmfq7S0FIWFg8+lyyUk0VsQBCEHOHfuHCKRSMbnKSwsRFFRURZGdOEjE5wgCILgS8RkIgiCIPgSmeAEQRAEXyITnCAIguBLZIITBEEQfIlMcIIgCIIvkQlOEARB8CUywQmCIAi+5P8HRZP/BwZLGcUAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x[:,[0]] * (1 - x[:,[0]]) * x[:,[1]] * (1 - x[:,[1]])\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[2,5,1], seed=2)\n", - "x = torch.linspace(0,1,steps=101)\n", - "y = torch.linspace(0,1,steps=101)\n", - "X, Y = torch.meshgrid(x, y)\n", - "inputs = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "mat = model(inputs).reshape(101,101)\n", - "plt.matshow(mat.detach().numpy())\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "07e45f8f", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb deleted file mode 100644 index cd96ee3c..00000000 --- a/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb +++ /dev/null @@ -1,521 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "7939f51d", - "metadata": {}, - "source": [ - "# Extension example 2: Autoencoder" - ] - }, - { - "cell_type": "markdown", - "id": "dfaf3e9e", - "metadata": {}, - "source": [ - "An auto-encoder has an encoder and a decoder. We allow the encoder to be an MLP or a KAN, and allow the decoder to be an MLP or a KAN. (When both encoder and decoder are KANs, it is actually uncessary to separate them: you can combine them into a larger KAN.)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "46adff97", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "from kan.MLP import MLP\n", - "\n", - "# define the AutoEncoder class\n", - "\n", - "class AutoEncoder(KAN):\n", - " \n", - " def __init__(self, width_enc=None, width_dec=None, grid=3, k=3, seed=1, enc_type='kan', dec_type='kan'):\n", - " \n", - " # this is a bit hacky. The class is inherited from the KAN class to make it easy to create the fit() method.\n", - " super(AutoEncoder, self).__init__(width=[1,1])\n", - " \n", - " if enc_type == 'kan':\n", - " self.encoder = KAN(width=width_enc, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif enc_type == 'mlp':\n", - " self.encoder = MLP(width=width_enc, seed=seed)\n", - " \n", - " if dec_type == 'kan':\n", - " self.decoder = KAN(width=width_dec, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif dec_type == 'mlp':\n", - " self.decoder = MLP(width=width_dec, seed=seed)\n", - " \n", - " self.enc_type = enc_type\n", - " self.dec_type = dec_type\n", - " \n", - " def forward(self, x, singularity_avoiding=False, y_th=1000.):\n", - " hidden = self.encoder(x)\n", - " y = self.decoder(hidden)\n", - " return y\n", - " \n", - " def get_params(self):\n", - " return list(self.encoder.parameters()) + list(self.decoder.parameters())\n", - " \n", - " def get_reg(self, reg_metric='fa', lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " \n", - " if self.enc_type == 'kan':\n", - " enc_reg = self.encoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " enc_reg = self.encoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " if self.dec_type == 'kan':\n", - " dec_reg = self.decoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " dec_reg = self.decoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " return enc_reg + dec_reg\n", - " \n", - " def attribute(self):\n", - " self.decoder.attribute()\n", - " self.encoder.attribute(out_score=self.decoder.feature_score)\n", - " \n", - " \n", - " def update_grid(self, x):\n", - " \n", - " if self.enc_type == 'kan':\n", - " self.encoder.update_grid_from_samples(x)\n", - " \n", - " if self.dec_type == 'kan':\n", - " self.decoder.update_grid_from_samples(hidden)\n", - " \n", - " def disable_symbolic_in_fit(self, lamb):\n", - " if self.enc_type == 'kan':\n", - " self.encoder.disable_symbolic_in_fit(lamb)\n", - " if self.dec_type == 'kan':\n", - " self.decoder.disable_symbolic_in_fit(lamb)\n", - " return None, None\n", - " \n", - " \n", - " def fit(self, dataset, reg_metric='act', steps=20, lamb=0., lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " super(AutoEncoder, self).fit(dataset, reg_metric=reg_metric, steps=steps, lamb=lamb, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy, lamb_coef=lamb_coef, lamb_coefdiff=lamb_coefdiff)\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "b9b27f75", - "metadata": {}, - "outputs": [], - "source": [ - "x = torch.normal(0,1,size=(1000,4))\n", - "x[:,[2]] = x[:,[0]]\n", - "x[:,[3]] = x[:,[1]]\n", - "\n", - "fraction = 0.8\n", - "num = x.shape[0]\n", - "train_num = int(num * fraction)\n", - "test_num = num - train_num\n", - "train_id = np.random.choice(num, train_num, replace=False)\n", - "test_id = list(set(range(num)) - set(train_id))\n", - "dataset = {}\n", - "dataset['train_input'] = dataset['train_label'] = x[train_id]\n", - "dataset['test_input'] = dataset['test_label'] = x[test_id]" - ] - }, - { - "cell_type": "markdown", - "id": "21638921", - "metadata": {}, - "source": [ - "Case 1: KAN encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "988cce8e", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.22e-02 | test_loss: 1.27e-02 | reg: 3.36e+01 | : 100%|█| 100/100 [01:02<00:00, 1.61" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=0, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "3474c959", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "c30b90e9", - "metadata": {}, - "source": [ - "Case 2: KAN encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e52efc2b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.16e-02 | test_loss: 2.59e-02 | reg: 3.83e+01 | : 100%|█| 100/100 [00:33<00:00, 2.96" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6c11693e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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DPv/8c3z55ZeoqKiA0+lEfn4+Ro0ahdmzZ2Pq1KnIyMgI+n22ikkOzLjEGa/Xi5qaGjQ3NyMjIwOlpaWdtqq6gvpYAES1Emhra0NraysIIcjLy0Nubm5YL9jZs2fF7bNt27bB7XZj8ODB4kByySWXBDQUbW1tOHjwoJ/BOXHiBARBgFarxciRI0X/zfjx4zF69GhxO4ShLCorK8XVybZt2+ByuTBw4EDMnTsX1157LS699NKwJgsOhwPV1dWwWq3Iy8tD3759o5pk+Hw++Hw+aLXakBOlQDAjk1iYcYkThBA0NjaitrYWHMehpKQExcXFMXVoQkjU3xcEAa2trbBYLNBqtSgsLAw52+uI3W7H559/Lq5q6urqkJmZiSuvvFLcQpMGdwb6/uHDh0Vjc+DAARw9ehQ+nw9qtRoXXHCBnzR67NixLPgzCXi9XuzYsUM0KMeOHYNGo8HFF1+MuXPnYu7cuRg2bFjY/dDn86Gurg5NTU3Q6/Xo169fxJMrKXSipVaro34XqJFhBia+MOMSB9ra2lBZWQmn04ni4mL07dtXFt9DLMaF4vF4YDQa4XQ6kZGRgcLCQmi12ojLcejQIXFVs2vXLgiCgPHjx+Paa6/FnDlzMHny5C63O9xuN44ePSoanP379+Pw4cNwu93gOA6DBw8W/Tc02wCLvJYfo9GITz/9FJs2bcLWrVthNptRXFyMOXPmYO7cubjyyisjjhshhKC5uRl1dXUghKBPnz4xT67odWM1LvQ6bBUTX5hxkRGqfmltbRXVL9L0FbEih3Gh2O12GI1G8DwPg8EAg8EQtdrLaDSKooAtW7bAbDajqKgI11xzDebMmYPZs2fDYDCEdS2v14sTJ074rXAOHjwoBn/279+/U/BnV74nhj+EEBw8eBCffPIJNm3ahN27d4MQgokTJ4qrk0mTJkXdH2w2G6qqquBwOFBYWIiSkpKIJzChyi6HcZFejxmZ+MCMiwxQ9cu5c+eg0WjQr18/FBQUyH4fOY0LvZ7JZILZbIZarUZBQQGysrJiuqbP58POnTvF7bMjR45Ao9FgxowZ4kz4ggsuiOg5eJ7H6dOnRWND/9vW1gagPfizo8Hp3bs3Gygk2Gw2fP755+Jqs66uDllZWZg9ezbmzp2La665Br169YrpHh6PB7W1tWhpaUFmZqbskytAfuMivS4dCpmkXh6YcYmR1tZWVFdXw+PxoFevXujdu3fEjsZwkdu4UHw+H4xGI+x2O9LT01FYWCiboquqqkoc0L744gu4XC4MGDBAFAXQ6OxIEQQBlZWVoqGhRqelpQUAUFxc3CkW53wL/jxz5ozoO9m+fbuYpYGuTi6++GJZ2pkQgoaGBpw7dw5qtRolJSUoLCyU4QkC3ysexoXCpMvywYxLlDidTlRWVqKtrQ0GgwGlpaVRDZKREC/jQnE6nTAajfB4PMjJyUF+fr6shtLhcGDbtm3iqqa6uhoZGRmYNWuWKAqI5QwOQghqa2v9VjcHDhxAfX09ACAvL6+TwRk0aFC3mal6vV588803okE5ceIEtFotLrnkEjH2ZMiQIbLe02w2i5OrHj16xHVyBcTfuNB7sK2y2GHGJUJ4nkdtbS0aGxuRlpaG0tLSsP0JsRJv40LvQaXLAJCfnx+XJICEEBw5ckRc1ezYsQOCIGDs2LHiqmbq1KmyDFT19fV+sTgHDhzwC/4cN26cn8FJpeDPpqYmfPrpp/jkk0/w2Wefoa2tDT179vRzxsdDdedyuVBdXQ2LxYKcnBz069cvIXLyRBgX6b2YkYkeZlwioLm5GTU1NRAEAX369EHPnj0T2uESYVwoPM+jtbUVbW1t0Ol0KCwsjOvg0draiq1bt2Lz5s349NNP0draioKCAlEUcNVVV8mqFKPBn1I/zpkzZwAAer0+YPBnqKDXRCEIgpi+Z9OmTdi7dy8IIZg8ebK4Ohk/fnzcVmM8z6O+vl5MXdS3b9+EKvgSaVwobKssOphxCQObzSae511YWIi+ffsmZaBJpHGhuN1uGI1GuFwuZGVloaCgIO6zep7nsWvXLnH77NChQ1Cr1Zg+fbo4Ix85cqTsdWGxWDoFf9JcVlqtFqNGjfIzOIkK/rRarfj3v/8trvIaGhqQk5Pj54xPxHEJLS0tqKmpAc/z6NWrF3r27JnwLcVkGBd6X7aKiQxmXELg9XpRXV0No9Eoql+SGdiXDONCsVqtaGlpgSAIyMvLg8FgSFhZampqsHnzZmzevBn/+c9/4HQ6UVpaKm6fzZw5M26DPA3+pHE4Bw4cwLFjx8Tgz+HDh/sp1caMGSNLHzl16pS4Ovnyyy/h9XpxwQUXiM74GTNmyCbv7QqHw4GqqirYbDbk5+cnbXIFJM+4SO/PjEx4MOMSAKp+qaurA8dx6Nu3L4qKipLekZJpXID27QGTyQSLxQKNRoOCggLZpaZd4XK5sH37dnHgrayshF6vx+WXXy6uavr16xf3MkiDPw8cOOAX/DlkyJBOR013tXXk8Xjw1Vdfic916tQp6HQ6XHbZZaJBGTRoUFyfqyM+nw+1tbVobm6WJbpeDpJtXKTlYFH+oWHGpQMWiwWVlZVwu93o0aMH+vTpoxjnbrKNC8Xr9cJoNMLhcEQd5S8HhBAxuefmzZvxzTffgOd5jBo1SswUcOGFFyak/bxeL44fP94p+NPhcABoD/6kudToD8/z4tbfv//9b1itVvTu3Vs0JldccUXMcUfRQAhBU1MT6urqAAAlJSWKmFwByjEutCxsFRMcZlz+i9vtRlVVFUwmE3JyclBaWhpR7q1EoBTjQrHb7WhpaYHP50Nubi7y8vKSKus1m81+ogCj0Yi8vDxcffXVmDNnDq6++uq4BLcGg+d5nDp1yk8WvXfvXthsNtFJDLQP3pdddhluu+02XHnllUmtw7a2NlRXV8PpdKKoqAglJSWKmVwByjIuFGZkAnPeGxd6EFd9fT00Gg1KS0sDni2hBJRmXID2MpnNZphMJqhUKhQUFCgi4STP89i7d6+4Mjhw4ABUKhWmTZsmbp+NHj067vXZ1taGzz77DJs2bcKnn36KxsZGZGVlYcyYMSgoKIDdbsfRo0fF4M8ePXp0isXp169f3Mvp8XhQU1OD1tZWZGVlKXJyBSjTuFBYlL8/57VxaWlpQXV1NXw+nxhdr+ROoUTjQvH5fGhpaYHNZpM9yl8O6urq/EQBdrsdffv2FYM3r7jiClkGU0IITp48Kebt+vrrr+Hz+TBixAhxu2v69Ol+24iEEPGYaalSraGhAUB8gz8FQUBDQwPq6+uhVqvRt2/fhK7uIkXJxoXCpMvtnJfGxeFwoLKyUjxborS0VFEDYTCUbFwo8Y7ylwO3240vv/wSmzdvxieffIKKigqkpaX5iQL69+8f8fWoM/7MmTNIS0vDzJkzRd/PgAEDIi5nfX19p6Omq6urAQDZ2dmdgj+HDh0a0RaWyWRCTU0NPB4PevbsiV69eimurTqSCsYFYFtlwHlmXKj6pbGxEXq9HqWlpXGJPo8XqWBcgMBR/jk5OYosOyEE5eXloiig40pjzpw5nVYawA8roU2bNokroZKSEnF1cvnll8dFSWc0Gjud/Blp8KfT6UR1dTXa2tqQm5uLfv36xT11kVykinGhnM9G5rwwLvRsiZqaGhBCUFJSgh49eqRcQ6eKcaEkOspfDiwWC/7973+LW2hNTU3Izc3F7NmzccEFF8BqtWL79u1+PhxqUBLhwwlW5o4Gp7y8HIQQ6HQ6Mfhz3Lhx6NOnD/Ly8sSULYlKXSQXqWZcKOejdLnbGxer1YrKyko4HA4UFRWhb9++SZHNykGqGReKNMo/MzMThYWFilIgBaO1tRUrV67E22+/LQZOAkBhYSEuu+wyLF68GJdddpki28Rms/md/Ll3716Ul5fD5/NBo9H4BX9OmDABY8aMSYrsOVJS1bgA598qptsaF4/Hg+rqarS0tIjql1R4eUKRqsaFYrPZ0NLSAp7nEx7lHw7SuJlNmzaJcTOjR4/G3LlzMXXqVDQ3N2Pr1q347LPPYLPZxLgUKgpQWh+z2+2oqqqC3W5HVlYWzGYzjhw54hf86fF4wHEchg4d2in4U2krm1Q2LpTzxch0O+NC1S91dXWi+qWoqCjZxZKFVDcugH+Uv1qtRmFhYcKj/KW4XC5s27bNL+I/PT0dV1xxhbjdFSji3+Px4Ouvvw4YUU9FAYmOqJfi9XpRW1sLo9GIjIyMoJOrroI/BwwY4LfCGTduXFLfp+5gXCjdXbrcrYyL2WxGVVUV3G43evbsiT59+ihe/RIJ3cG4UKRR/nq9HoWFhQnLV1VbWysahc8//xwOhwP9+vUTswpHk6uM5gLbvHmzmAts2LBholosUbnApNH1HMehT58+EUfX8zyPkydP+gV/fv/99+LJn3379vWTRo8fPx69evVKSN/sTsYF6N6rmG5hXFwuF6qqqmA2m5Gbm4vS0lLFO46joTsZF4rD4YDRaITX60Vubi7y8/Nln8XxPI/du3eLsSfSLMt0dSJnlmWaxZiKAqRZjOfMmRO3LMbS6Pri4mJZUxcJgoCzZ892OvmTKgJp8Kd0Wy0ewZ/dzbhQuqORSWnjwvM86urqxLMlSktLE3q2RKLpjsYFaH8ui8UCk8kEjuNE6XIs0PNhNm3ahC1btqClpUU8H2bu3Lmynw8TDOn5K5s3b8bevXsBAJMnTxa3z2I9f8XtdqOmpgYmkwnZ2dno169fQqLrCSGorq7uFPzZ2NgIoF2C3jH4c+DAgTE9a3c1LpTutFWWssbFaDSiuroaPM+jd+/e6NWrV8o3Rld0V+NC8fl8aG1thdVqRVpaGgoLC8OOvyCE4OjRo+LqpOPJltQhn+xt0sbGRnz66afYvHlzp5Mj58yZE9HJkYIgoL6+HvX19dBqtejbt68iUhdJgz/pSqempgbAD8GfUj/O0KFDw26X7m5cKN0hyj/ljAtVv1itVhQUFKBfv36KOCEwEXR340JxuVwwGo1wu93Izs5GQUFBwMHH4XD4OeOrq6uRkZGBWbNmiQqukpKSJDxBeNAz72kwJj3z/tJLLxVXNcHOvG9tbUVNTQ28Xi969eql+MlVc3Nzp1iciooKAEBGRkan4M/hw4cHfK/PF+MCpP5WWcoYF6p+aWpqgl6vR//+/ZN+tkSiOV+MC4VG+RNCkJeXh9zcXFRXV4vG5IsvvoDL5cKAAQPE1clll12WMtHmHamoqBCfbfv27fB4PBgyZIhoKC+55BLwPC9OrgwGA/r165cSqYsCYTabxZM/6WFsJ0+e9Av+nDBhgmhwRo0ahbS0tPPGuFBS1cgo3rgQQtDY2Ija2loA7UqV4uLilKlgOTnfjAvQLvndunUrPvnkE2zfvh0nT56ERqPBjBkzRINywQUXdLt6sdls+Pzzz8VVzblz55CZmYnJkyfjsssuwy233IKhQ4cmu5iyY7PZcOjQIb8ttWPHjokGZcSIERg7diwmTpyYUsGfcpBqUf6KNi5tbW2orKwU1S8lJSUpG10vB+eLcTEajdiyZQs2bdqErVu3wmQyiVHxF198Ma666ioMHDjwvOgLNHXRF198ga+++gp79+7F/v37QQjBxIkTxVXNpEmTFL0tFgtOp1M8+XPfvn04cOAAjh49KgZ/Dhs2zE+lNnbsWMUFf8pFKq1iFGlcPB4Pqqqq0NraiuzsbJSWliY10E4pdFfjQgjBoUOHxC2hXbt2QRAETJgwQVydTJ48GSqVyi/K32AwwGAwdNtB1WazoaqqCg6HA4WFheLkqrm5GVu2bMHmzZuxdetWmM1mFBcX+4kCUikhayRQnwvP8zhx4kSn4E+n0wkAGDhwoJ/BGT9+PAoLC5NcevlIBSOjKONC1S/nzp2DWq1Gv379ulWHiJXuZFzsdjs+//xzUaJbW1uLzMxMXHnlleJsvHfv3gG/KwgCzGYzzGYz1Go1CgoKutXWiNfrRU1NDVpaWpCZmYl+/foFfT6fz4cdO3aIhvnYsWPQaDS4+OKLRVHAsGHDuk2/CeXQ9/l8OHXqFL777ju/4E+r1Qrgh+BPqdHp1atXMh5DNpQsXVaMcTGZTKiqqoLH4xEP7kq2bFRppLpxOXv2rDgIbtu2DW63G4MGDRIj4y+55JKInNNerxctLS2w2+0Jj/KPB4QQNDQ04Ny5c1CpVOLZ9ZFQWVkpGuwvvvgCbrcbAwcOFDMFXHrppSkrAAAiV4sJgoCKiopOwZ8mkwkA0LNnz07ZBhJx8qfcKFG6nHTj4nQ6UVVVBYvFAoPBgNLS0pRV+8SbVDMuXq8XO3bsEGNPjh8/Do1Gg0suuUTc7ho6dGjMzyQ9oCxeUf7xxmKxoLq6Gm63W4yuj3VyZbfb8cUXX4iiALo6nDVrlriF1qdPH5meIDHIIUWmwZ8dDU5TUxMAoKCgoFPw54ABAxTfp5S2VZY048LzvHhwV1paGkpLS7utE04uUsG4NDc349NPPxWd8RaLBcXFxaIxufLKK+MiIZdG+QPtA0QqSNXdbjeqq6thNpvFM1bikbqIEILDhw+Lq5qdO3dCEASMGzdOXNVMnjxZ8bsF8YpzIYQEPPmTBn/m5OQEPPlTifWlFCOTFONCD+7ieR59+vRBz549FT8rUAJKNC6EEDG9yaZNm7Bnzx4QQjBp0iTRoEycODFh7cvzPFpaWqKK8k8kgiDg3LlzaGhogFarRb9+/RKauqilpUUUBWzZskVU5F1zzTWYM2cOrrrqKkVO9hIdREmDP+kqZ//+/Th79iyA9uDPsWPHdjr5UylnFSV7qyzhxsVoNOLMmTMoLCxE3759U3qPPNEo0bjU1dWhpKQE2dnZmD17NubOnYtrrrkGPXv2TGq53G43mpub4Xa7UVpaqpgXnlJZWYmWlhb06tUr6ZMrn8+HXbt2idtnhw8fxoIFC7Bq1aqklSkYSojQN5lMYvAnNTg0+LOurg7FxcVJKVcgkunwj6txcTqdUKvVnZaOTqcz6NJfictMpaAE43Lw4EF88cUXWLhwofi7rsqViCSKXq83YN9xu91BHdiJXE11hJ5qGcjonThxAiNHjox7uYD29ty2bRvuuece8XfSLZVAJKI9peXo+LtQxiUR78ehQ4ewfft23H333X7lIoQE7VPJrLOuiFedxdW4EEJw5MgRjB49Ol63YCQYQgiWL18OtVqNe++9N+nGjkIIQUtLS0pL1wkhOHPmDEpLSxMWIEoIwUsvvQSdTod77rlHMe0JBB+wkz3Jou9AWloa7r77bsXVGZAYI9sVcZ26cRyHvLy8qKwpQ5lwHIclS5aA53msWrVKMW3LcRx8Pp9iyhMN1DgmMvMAx3FYunQp3G43Vq9eraj64zguYHmSPXDSd8DtdmPt2rWKqzOlEPd9gT59+uDMmTPxvg0jgdCXy+fzKcrA9OjRAy0tLckuRlS43W7YbLakONE5jsOyZcvgdDqxZs0axbQnENzAJBv6DjidTsUZGMB/e4yuADv+xJu4GxeO4yAIguIqnxEbSjQwdPVit9vhcDhgt9vhdDoVUbZQEEJQUVGB0tLSpJWB4zjcd999cDgcilrBKNW4AD+s+lwul2INTDLLlBC1GE3rkmoBW4yuUdqePSEEDodD3KunzvRwD+BKNMnws3RVnhdffBF6vR4LFixIensCEB34SoX6YNLT0zF//nxF1Fm4w3o8y5oQuYxKpUJLS4viLDsjdqR79q+88krS25jjOGRmZiIrKwsZGRnIysqC1+uFy+VKarmCYTQaE+5nCQVdwbhcLkW0Jy2TEsoRDLqKV9IKhhoNGuPS8SchZUhUnIvX64XValXEMawM+aErGK1Wi4ULFypi9kYhhKCpqQkFBQVJjXchhMDj8YirKkEQ0NjYmNTtsGAoSRXYUTXWcchSSl8jhGDFihXQ6XSKU5EFIt6qu4QGUe7fvx8TJkxI1O0YCUbpBqahoQE9evRIWsDiuXPnALSv5Olr17NnT0XVkxQlGRie5zsZF7qiUUIeLQo1MFqtVjHbisHoVsbF4XAASFxAESPx0AFJo9EozsDwPI/m5mb06NEj4eWi2XkHDRrk93sl1U8glGJgOubLov+lv2cGJnLiHROT0ClcRkYGTpw4oYg9SUZ8kMbBrFy5UlFtrVarkZ+fD6PRmPBynTp1CoMGDUrK3ncs0PYUBAEvv/xy0tozmN+A/jvZyigpHMdh8eLF8Pl8ivFbBSLe/S/hucVaW1vhcrmg0+mgUqmgUqlEubJKpeq2J+idb9DZG33RlITD4YDH40lYTAlNpqmknFORouT2BH5I0qikBLiEEKxcuRIcx+Hee+9NdnECEs+tsbh6N+mRo1LS09PhcrlE5yaNgVGr1fD5fMy4KJzy8vJOvwvWQWfNmoWXX345EcWCx+MJ+PtAucU0Gg3sdnsiigWg/VyV7Oxsv/fB6/WC47igAoN4pN0PRKD2DEYi2xMInlssWE6xRM2Tg9VZoLJdfvnlCU0AqqRVUlxXLnQ2IcVsNqOurg5DhgwJmBFZSTMPJaGUnEEdB/Fw9rwTkfk6UDe22+0wGo3o3bt3QKlvouoy0HtQV1cHp9OJwYMHB/xOot6DQEa5q1VAojKZd2zTcDIiJ6JNg9WZz+eDVqsNWIZk1Rn9Xaikminpc6HbXtIfg8EAj8eDxsbGgH9nBCbZRoWi0+n8fh566CGUlJRAEIROf6M/iSDQnnxmZiYAwGq1Jk3rD3R+D3ieR2NjI3JycgK+A4l8DwK1V1lZGQwGA8xmc9LaE+jcpvR3dCs9WW0aqE4IIRg8eDB+97vfKarOaJ0ko84SPpqrVCoUFxejubk5YCpyRupgs9mwbt06LFiwIGHbOJHAcRyys7PR1tYWcPWQLJqbm8FxnGIzOM+fPx9qtRqrV69OdlH8oH5ZJaLX63HXXXdhw4YNsNlsyS6OSDJ3PJLSUsXFxaKTkxEZStpT/cc//gGbzYZFixYluyhByc3NhSAIinnhlRLQGYr8/HzceuutWLlyJbxeb7KLA0CZDvuOLFy4EFarFW+88UayiyKSzOMJktJSaWlpyMvLQ0NDQzJun7IoZWsM+CFg8oYbbkC/fv2SXZygaDQaZGZmwmKxJLsoANpPMfR6vejRo0eyixKSpUuXoq6uDh9++GGyiwIg+We4hENpaSmuv/56LF++XBGTwGT7aZM2DejZsyecTifa2tqSVYSURQkd94svvsCxY8ewbNmyZBelS3Jzc+HxeAKqFxNNY2MjsrOzFbmNKGXMmDG45JJL8NJLLyW7KF06pJXEkiVLcOzYMWzfvj3ZRUn6OJG01srJyYFer2erlwhRyuytrKwMo0aNwqWXXprsonSJXq+HTqdL+urF4XDAZrMpftVCWbp0Kb7++mscPHgwqeUQBCFlgk4vvfRSjBw5EsuXL092UQAkd7xI6lSgZ8+eMJlMcLvdySxGSpLMWUllZSU+/vhjLFu2LCVeeKB99WK328Wz65NBY2MjdDpdUg4Ei4YbbrgBJSUlSV29SKXuqQDNaPDxxx+jqqoqaeVI9pYYkGTjUlhYCLVajcbGxmQWI+VI9ou2YsUK5OTk4NZbb01qOSIhKysLKpUqaasXn8+H1tZWFBcXJ739wkWj0eDee+/F66+/njTxDR0kU2FLjPKLX/wCOTk5WLlyZdLKoASDnNQWk8qSlSQVZQTH4XBgzZo1mD9/vhhHkgqoVCrk5OSgra0tKau+5uZmEEJQVFSU8HvHwoIFC0AIwdq1a5NyfyXLj4ORmZmJX/7yl1i3bl1S/HxKWLUASTYuQPu55z6fj8mSoyAZg+Qbb7wBs9msyPxSXZGTkwNBEGC1WhN631SQHwejqKgIt9xyC15++eWEx6XRCWeyB8loWLx4MUwmE956662E31sJqxZAAcYlLS0NBoOBOfYjJBmdhxCCsrIyXHvttRg4cGDC7x8rWq0WGRkZCd8aM5vN8Hg8KePI78jSpUtRVVWFjz/+OKH3VVoq/UgYMGAA5syZg5deeimhk0ClrFoABRgXoN2x73A4Ej6j7A4ksuN+/fXXOHToUErIj4NBZcmJPPa4qalJPHY5FZk4cSKmTZuWUMd+KsmPg7FkyRIcOnQI3377bbKLkhQU0XK5ublIT09nq5cISfTspKysDBdccAFmzZqV0PvKSUZGBrRabcJWLzSWK1VXLZSlS5fiiy++wNGjRxNyv1SSHwfjiiuuwNChQxMqS1bKlhigEOMC/CBLDpY6nRGcRKxeampq8MEHH2Dp0qWK6bzRkpubC5vNlhBZcmNjI7RaLfLy8uJ+r3hy0003oWfPngkbKJU0SEaLSqXCkiVL8MEHH6C2tjbu91PSlhigIONSWFgIlUqFpqamZBclpUhUR1q5ciUyMjJwxx13JOR+8SQ7OxsqlSru2SGoUCWV5MfB0Ol0WLhwIV599VWYzea43isV8oiFy+23346MjAy88sorcb+X0gyyYlpPrVajqKgITU1NTJasMFwuF1555RXMmzcP2dnZyS5OzKhUKjFbcjxXffQ45VSTHwdj4cKF8Hq9WL9+fVzvk4ry42BkZ2fjjjvuwJo1a+Lq51PaqgVQkHEB2mXJXq8Xra2tyS5KyhHPQfLtt9+G0WjEkiVL4naPRJObmwue5+OWLZnKj/Pz8wMeVJaK9OzZEz/96U+xYsWKuE0AlThIxsqSJUvQ3NyMd955J273UNqqBVCYcUlPT0dubi5z7EdIPDsVlR9fffXVGDp0aNzuk2jiLUu2WCxwu90p78jvyNKlS3HmzBl8+umncbl+d3Dkd2TIkCGYPXt23LIlK9UgK8q4AO2zI7vdrpjzN1KJeHTcXbt24bvvvktp+XEwcnNz4Xa747Jd0dTUhMzMzJTKYhAOU6dOxaRJk+IiS+4O8uNgLFmyBN999x327NmT7KIkDMW1osFgYLLkKIjXrKWsrAyDBw/G1VdfHZfrJ5N4yZJdLhcsFku3W7UA7f1s6dKl2Lp1K8rLy2W9dndctVCuvvpqDBw4MC5qOyVuiQEKNC5Au++ltbVVMafgpRJyrl7q6+vxzjvvYMmSJd1yNgm0p4Sx2+2ypjah8uP8/HzZrqkkbr75ZhQVFWHFihWyXlepg6QcqFQqLF68GO+++66sE2elbokBCjUuRUVF4DiOyZKTzKpVq5CWloZ58+YluyhxIycnBwBkkyXzPA+j0Sj24e5IWloa7rnnHmzYsEG2rBrdSX4cjDvvvBNarRarV6+W7ZpKNsiKbEm1Wo3CwkI0NjYm/TS1VELOTubxeLBq1SrccccdyM3Nle26SoPKki0Wiyx9rbvJj4OxcOFCOBwObNy4UZbrdSf5cTAMBgNuu+02vPLKK7IEiyt51QIo1LgA7Y59JkuODjkGSbp8X7p0qQwlUjZUlmy322O+VlNTE/Ly8qDT6WQomXIpKSnBjTfeiOXLl8csS1b6ICknS5YsQUNDA95///2Yr6XkVQugYOOi1+uRk5PDHPsRIldnKysrwxVXXIERI0bIcj0lo9PpoNfrY3bsWywWuFyubunID8TSpUtRXl6O//znPzFdpzs78jsyYsQIzJw5M2bHfioYZMUaF6B99WKz2WSZUZ5vxLJ62bdvH3bt2tUt5cfByM3NhcvliunI7aamJmRkZCArK0vGkimXGTNmYOzYsTHJkruz/DgYS5Yswa5du7B///5kFyWuKLpFDQYD0tLS2OolQmKdzZSVlaF///649tprZSqR8snMzIRGo4l69eJ2u2E2m8+bVQvwgyx506ZNqKioiOoa59OqhXLttdeitLQ0ptWL0rfEAIUbF47jmCw5BqJZvTQ1NeGtt97C4sWLoVar41Aq5UKzJUcjS25sbIRGo+m28uNg/OIXv0BeXl7UsuRUGCTlRq1W495778Xbb7+N5ubmiL+fCltigMKNCwBRdRNNIzAiZ/Xq1VCr1Zg/f36yi5JwaFLOSGXJgiCI8uPzaXsHaPeN3n333Vi3bl3E29fng/w4GPPmzQPHcVi7dm3E300Vg6z4VtVoNCgoKGCy5AiJpvN5vV68/PLLuPXWW8+7GTjQPqOMJluy0WgEz/MoLi6OY+mUy6JFi9DW1obXXnstou+dD/LjYBQUFODnP/85Vq1aFdG5QqmyagFSwLgA7Y59j8cDk8mU7KKkHJEMkh9++CHq6urOK0d+R3Jzc+Hz+SKahZ8v8uNglJaW4vrrr4/ovPhUGiTjxdKlS1FbW4uPPvoo7O+kyqoFSBHjkpGRgezsbObYj5BIO2FZWRkuueQSjBkzJk4lUj46nQ7p6elhb421tbXB6XSet6sWytKlS3H06FFs3749rM+fj478jowZMwYzZswI27Gfajs3KWFcgPbVi9VqhcPhSHZRUo5wOuXBgwfx9ddfn9erFkpubi6cTmdYUdRNTU1iTNb5zMyZMzFy5MiwZMnno/w4GEuWLMHXX3+Nw4cPh/2dVDHIKdO6dNuhsbEx2UVJKcLtiGVlZSgpKcENN9wQ3wKlAOHKkulW7fkkPw4Gx3FYsmQJPvroI1RVVYX8LNsS+4Ef/ehH6NOnT9hGOZXqLGWMC8dxKC4uhtFojMgBxmgn1OqlpaUFr7/+OhYtWgSNRpPAUikTjuOQk5MDq9UaMrVJU1MT1Go1CgoKElg65XLbbbchOzsbK1euDPm589mR3xGtVouFCxfizTffDJnqKhUNckq1cHFxMQghTJYsM2vXrgUhBAsWLEh2URRDV9mSBUFAc3PzeSk/DkZWVhbuuusurF69Gk6nM+Bnzmf5cTDmz58Pnuexfv36oJ9JtVULkGLGRavVMllyFITqlDzPY8WKFbjlllu6fSbfSFCr1cjKygq6NdbS0gKfz3feO/I7snjxYphMJrz55psB/04d+YwfKC4uxs0334yXX345YABvKq5agBQzLkC7Y5+m2iCEwGg0orKyUkx1zggOdaRK6+xf//oXqqqqmCM/AFJZcsd6a2xsFNMTMX5g0KBBmDNnDl566SUxuJTWGVu1BGfJkiWoqqrCpk2bOvW1lDXIJAXZsWMHeeihh8igQYMIAPFn0KBB5PnnnycmkynZRVQcJpOJPPfcc53qTK/Xk/79+7M6C8LRo0fJH//4x0711qdPH/KXv/yF1VsA3n33XcJxHOndu7dfnQ0cOJD8/e9/Z3UWhKlTp5Jhw4Z16msDBw4kzz33XMrVW8oZly1btpCMjAy/yqc/HMcRjuNIZmYm2bJlS7KLqhi2bNlCMjMzA9YZ/WF11plQfY32N1Zv/nRVZ6yvBWbLli0kLS2tW/W1lDIuW7ZsIWq1mnAcF7LzqlQqolarU6oh4gWtM5VKxeosAlhfixzW16Kju/Y1jpDUcFSYzWaUlJTA6XSGdfKdSqWCXq9HbW0tDAZD/AuoQFidRQert8hhdRYd3bneUsaztnHjRjgcjrCPVBUEAQ6HA6+++mqcS6ZcWJ1FB6u3yGF1Fh3dud5SYuVCCMGQIUNQUVERkSKM4zgMHDgQp06dSk21RQywOosOVm+Rw+osOrp7vaWEcaFnZcTy/fMtiprVWXSweoscVmfR0d3rLSW2xWw2W0zft1qtMpUkdWB1Fh2s3iKH1Vl0dPd6SwnjkpWVFdP36QmD5xOszqKD1VvksDqLju5ebylhXAoKCjBo0KCI9xc5jsOgQYPOy1MVWZ1FB6u3yGF1Fh3dvd5SwrhwHBd1epL77rtP0U6veMHqLDpYvUUOq7Po6O71lhIOfaB768HjBauz6GD1FjmszqKjO9dbSqxcAMBgMOC9994Dx3FdJr5TqVTgOA7vv/++4hsgnrA6iw5Wb5HD6iw6unW9JTolQKzQPFk0jxiC5BbbunVrsouqGFidRQert8hhdRYd3bHeUs64ENKe4feFF14ImBX5hRdeIGazOdlFVByszqKD1VvksDqLju5WbylpXCiCIJDPP/+cACCff/45EQQh2UVSPKzOooPVW+SwOouO7lJvKeNzCQTHceLeo8FgULx6QgmwOosOVm+Rw+osOrpLvaW0cWEwGAyGMmHGhcFgMBiyw4wLg8FgMGSHGRcGg8FgyA4zLgwGg8GQHWZcGAwGgyE7zLgwGAwGQ3aYcWEwGAyG7DDjwmAwGAzZYcaFwWAwGLLDjAuDwWAwZIcZFwaDwWDIDjMuDAaDwZAdZlwYDAaDITvMuDAYDAZDdphxYTAYDIbspKxxsdlsOHnyJA4fPgwAaGhogMfjSXKplI/NZkNVVRUA4Pjx46ipqWH11gVerxd1dXU4fvw4AODMmTNobW2FIAhJLpmyYX0tcrrTuMYRQkiyCxEJFRUVWLNmDf71r3+hpqYGXq8XbrcbOTk5GD9+PO68807ceOONyM7OTnZRFYW03qqqquB0OqHT6ZCZmYnRo0ezeguA2WzGe++9h9dffx1Hjx6F1WqFx+NBeno6ioqKcPHFF2P+/Pm46KKLoNFokl1cxcD6WuR0x3EtZYwLz/N488038cgjj8DpdOKaa67BlVdeiX79+kEQBJw+fRqffvoptm3bhgkTJqCsrAwjRoxIdrGTDqu36Ni5cyfuv/9+HDp0CJMnT8bcuXMxZswYZGVlwWw247vvvsPHH3+M06dP4+abb8af/vQnFBUVJbvYSYX1tcjp1nVGUgCe58ny5ctJZmYmueaaa8jBgweJz+cjO3bsIC+88AJ54YUXyPHjx4nH4yFffvklmTRpEhk2bBg5fPhwsoueVFi9RcfWrVtJr169yJAhQ8i7775LHA4HMZvNZOXKleSFF14g69evJ06nk7S1tZFXXnmF9O7dm1x55ZWkoaEh2UVPGqyvRU53r7OUMC7btm0jBoOB/OQnPyGtra1EEARCCCG///3vCQACgPzjH/8ghBAiCAKpqqoi06dPJzNmzCAmkymJJU8urN4ip7y8nAwYMICMGjWKHDlyRKyzM2fOkNzcXAKADBgwgLS2thJC2uvtq6++IiUlJeS2224jLpcrmcVPGqyvRU53rzPFO/SdTicef/xx9OjRA8899xwMBgM4jgv6eY7j0LdvX5SVleHkyZN47bXXElha5cDqLXJ4nsef//xnmEwmvPTSSxgxYkTIOgPa623GjBl45pln8NFHH2HLli0JKq1yYH0tcs6HOlO8cfnuu++wa9cuLF68GH369OnyZQfaG2LcuHH42c9+hg0bNsDhcCSgpMqC1VvknD59Gh9//DFuvPFGzJgxI6w6A9rr7YYbbsCFF16I1atXw+fzxbmkyoL1tcg5H+pM8RKX7du3Iy0tDbNmzcLx48f9XtzGxkbx39XV1Th06JD4/waDATfccANee+01VFZWpo4TTCZYvUXOjh07YLPZcNNNN6GyshJ2u138W21tLXieBwB4PB4cPXoUOTk54t979+6NG2+8EY899hgaGhpQUlKS8PInC9bXIue8qLNk78t1xW233UaGDh1KTp48Sfr160fS09PFH41GI+5NarVav7/NmzePnD17lhQWFpJPP/002Y+RcFi9Rc6DDz5IDAYDOX78OLniiiv86iUtLU2sM47j/P6m1+vJihUryNdff02ys7PJ7t27k/0oCYX1tcg5H+pM0SsXQghcLhfS0tKgVqvhcrngcrkCftbr9cLr9Yr/7/F4oNPpoFarFb98lBu56i3Yd7orTqcTGo0GaWlpcLvdQZ+f1q8Un88HvV4PQgjcbnciiqsICCFwOBysr0WA2+1GW1tbt68zRRsXjuNQWFiIPXv2gOd5zJw5E2azWfz7qVOnUFFRAQAYPXo0evfuLf5tzJgxMJvNcLvd0Gg0sFgsUKvVUKvVUKlU4n9VKsW7nSJGjnqz2WxYvnw56urqcOGFF2LMmDHQarWJfpSEUlBQAKfTCbPZjKlTpyIzM1P8m9PpxI4dO0QjMn36dDFwkuM49OvXD01NTVCpVMjLy0vWIySEpqYm7Ny5Ezt27BD/26tXr5je0fz8/EQ/Rtzx+XxwOByw2+1+Px6PB4IgwGKxdO86S+q6KQxWr15N9Ho9+eqrr4jP5/P7eeSRR8Tl48aNG/3+xvM82bBhA+nRowc5ePAgqa+vJ42NjaS5uZm0trYSi8Ui/thsNuJwOIjb7SZer1eUBKYysdZbZmYmmTBhAklLSyMqlYpkZWWRmTNnkocffph8/PHHpKmpKdmPKAsul4u0tLSQ6upqsnbtWqLT6cjKlSs71dnJkydFKXL//v2J0WjsVG+//e1vyaBBg0hlZSVxOByE5/lkP17MeL1esn//frJ8+XJy6623koEDB4p9p3fv3uSmm24iP/rRj0h6enrUfa1nz56ktrY22Y8aNTzPE6vVShobG0lFRQU5fPgw2bVrF/nyyy/Fn507d5IDBw6QY8eOkbNnz5K//e1vMb2fqVBnil65AMDll1+O7OxsbNy4EdOmTfNLsyFdddDVCMXhcODVV1/FxRdfjOHDh0MQBHGJSQiBz+fz+w79O4XjOL8VDv1vuAqiZMLzPKZNm4asrKyo62327Nl4/fXXIQgCDh48iJ07d2Lnzp149dVX8fTTTwMABg8ejAsvvBDTp0/HhRdeiFGjRvldS4mQ/25p0Vkk7QeZmZmYNWsWBg4ciI0bN+LnP/+5n8Ne+lzSvkGvee7cObz77ru45pprkJmZCYvFAgDQ6XRIT08Xt0CUjtFoxK5du8T23rNnD+x2OzQaDSZMmIDrrrsO06ZNw4QJE5CdnQ2r1Yrq6mp8++23Ufe16dOno0ePHgl9zmjo2HfoqsTpdIL8N9FJWloaMjMzUVBQgLS0NKSnp0On04m7JBqNBmq1GjfccAOeeuqpqOtsxowZ6NmzZ+IePgoUb1z69++PW2+9FWvWrMGPf/xjzJkzp8sBXhAEbNiwAfv378fbb78NjUYDjuOQlpYGoH25Sg0NNShqtRparVY0IoIgQBAE+Hw+vwSFtJN0NDxKgOd5uN1u+Hw+9O3bF7/4xS+wbt26iOvtwIEDeP/996FWq8FxHCZOnIgpU6bgN7/5DYB2BQsdfHbt2oW33noLPp8PWVlZmDx5MqZPn45p06Zh6tSpili6C4IgDgQOhwOCIECj0SAzMxOZmZlIT08X62bp0qV44IEH8OKLL+Khhx4KK2eY2+3GE088AafTiaVLl6KwsBCCIMDlcon76wCg1WrFAUcJuch4nsfRo0fFttyxYwdOnToFAOjRowemT5+ORx99FNOmTcPEiROh1+ths9lgMpnE+szPz0dpaSluv/32qN7RAwcO4I033oDL5YJOp4NOp0vEo3eJx+PptJ1F+w4Asf8YDAb06dMHer1eHF94ngchBBzHQa1WQ6PRiGMQ5fDhw3A4HHj77bejqrMPP/xQMeNOMJLfw7tApVLhwQcfxDfffINFixZh/fr1mDlzpt9MgOM4cBwHQgh4nsdbb72FRx99FAsXLsTkyZNhtVqRkZEhvtC0sakDlhoZuhfKcRw0Gg20Wi30ej3UajV4nhcNDs/z8Pl8ftlKA61yEuXPEQQBbrcbXq8XKpUKer0eWq0WDz30EHbs2BFxvS1atAgXX3wx1Gq1+Defzwefzwe1Wo2+ffuitLQUt9xyC4D22dS+ffvEGe8rr7yCJ598EgAwbNgwTJs2DdOmTcOFF16IESNGJKReeJ4XBwU6s9TpdMjNzUVmZqY4EHTkjjvuwPbt2/H0008jIyMDixYtQnp6OoAf+o10xWK1WvGnP/0Jb775Jp5//nkMGzYMQHt/yMjIQEZGBgRBgMfjEWe9NpsNarVaXNEkakA1mUx+q5Ldu3fDarVCrVZj7NixuOqqq/DYY49h2rRp6N+/vzjY8TwPi8WC+vp6eL1e6PV69O7dG1lZWeJnon1HFy1ahCuuuEKcGHk8HqSlpSXMvxfML0KlwXRVm5mZieLiYvHfWq1WfC/o2EDfD+pwDzT4m0wm/PrXv8Zrr72GK664As3NzVHV2UUXXZSQ+omFlElceezYMdx2222oqqrCokWLMG/ePAiCgHPnzgEABgwYAIvFghUrVuDNN9/EbbfdhmeeeQbp6elwOp3w+XziFkWoGQLP851WNSqVClqtVvyh3yeEiMZG+l9plXY0OHQ1IAcdjUqgl/LYsWO4/fbbUVlZGVG9ZWRkBKwbn88nzsqkA60UQggqKirEgWzXrl04ePAgBEFATk4Opk6dKhqcKVOmwGAwyFIfXq9XHByokkav1yMjI0McEEJBjUBLSwvuv/9+fPLJJ7jqqqtw//33Y/jw4SgvL4cgCNDpdBg8eDD27NmDZ599Ft9//z1+/etfY+HChSguLg7ZvoQQeDweUY0mCILYdnQLRY7+IQgCTpw4ITrdd+7cKR4ZUFhYiGnTpokrzEmTJvmJFyhutxsmk0lceeXk5MBgMIjGtiOx9jXan+lWpU6nk83I0NVrR0NClX0cx0Gv14vGg/YZ6XjB87yfQQF+mFTSdyFU223atAkLFy6Ew+HA888/j9tvvx3Hjx+X7f1UGiljXAghOHToEJ577jl89NFH0Gg0GDFiBPr27Que51FZWYny8nIUFBTgt7/9LW6//Xa/2SmdOdJOFM62BPXNUENDOxRd1Wi12oDXoTONjoaHEqs/h/xX7urxeMTtvlCz37q6OjzxxBPiFqG03s6ePYuTJ08GrbdASLcL6dK/qxfLZrNh37594vbLrl270NraCo7jMGLECFx44YXi6mbYsGFhr27cbrefCofjOHFgyMjICHvrgBoWOqjZ7XasXr0aL774IhobGzFw4EAMGTIE2dnZMJlMKC8vx7lz5zBx4kQ8+uijmDJlClpbW5Geno7CwsKw29Lr9YpSVJ7nxfakP+HWg8Viwe7du/1WJWazGSqVCqNHj/YzJoMGDQpaPkIIbDYbzGYzHA4HNBoNDAYDDAZDWHUZqq919Y5SOhqZtLS0sLcRpX4RqSEJ5BeR/uj1+k51Td//jpMqqTEJp33MZjN+85vfYOPGjbjqqqvwyiuv+AXZhltn9913H+bNm4esrKyw6iLZpIxxsVqtsNlsyM/Px6lTp7Bp0ybs2bMHTU1N0Gq1GDBgAGbOnInZs2ejuLg44DUEQYhoFRPo+9JVDe1s0lVNqM4m3VaT/pfS0ZfT0Z9DZ710O47uUYfzDDzP4/jx4371dvLkSXAch2effTZkvQWDGlG6xyyVeofz3VOnTmHXrl2isTly5AgIIcjLy/Nb3UyePFl0rodyyAcbJMKpG7r662ikGxoa8Pnnn+PLL79ERUUFXC4X8vLyMGrUKMyePRtTp04VZ5EulwvNzc3Q6XQoKiqKuBw+n09c0dBVcyBBACEEJ0+e9FuVHD16FIQQ5Ofni4aargzDOQOE53mYzWaYzWZRbp2Xl+e39RUuPM9j//79+Oc//4nTp0/DaDSG/Y52vI7b7QbP81Cr1Z1EER39ItSYdPSLSH+k2+PB7km3gOl1aL8OtlIPxdatW7FgwQK0tbXhueeewy9/+cuA9Rno/exYZ1lZWfD5fMjOzk4JYVFKGBefz4fm5mZkZWX5vSh0cKOziXCJZhUTrFzU0NA9WioMoKuacAd+qbGhPxSO48ROT/fqIzWMUmi9vfjii/jDH/4As9kc8/ZDuFtmoWhra8PevXvFQVM6+x4xYgTGjx+P0aNHY9y4cRg0aBCysrI6bV1EU26v1yu2W1efJYSE9Ke53W40NzdDo9GguLg4av8SHVhdLhdMJhMOHDiAAwcOYN++fdi7dy9MJhM4jsPIkSNFQzJ9+nQMHTo0oroItPWVl5fX5eq1K1pbW2E2mzFgwICo3tFAZbRaraLhdblcnfwidMVKf8LxZdFVOO2/APz6b7jvcEcsFgv+53/+B+vWrcOsWbOwevVq9OvXL6zvBhvXqI9Po9GwbTG5MBqNEAQBRUVFsvorYlnFdEQqDPB6vaJxkK5qInm5qD/H6XSK5dRoNH4rlVj9OTt27MDFF1+MvXv3YsKECZE9cBCokZS+HNH4mXieh81mE2XQ+/fvx8GDB0U1U2Fhobi6mT59elC/QSikIgU5HcgejwfNzc1QqVQoLi6OuN3PnDnjp+A6dOgQCCHIycnBhAkTMHHiRPHZe/ToEXHZ6daXyWQSsxLk5eUhNzdXNgVSfX09CCF+AYBdQft7R+c69YvwPC8Kcaj/Jzs7O6J3VypQke4cSFVdsQpO/vOf/+Duu++GyWTCs88+i7vvvlu2ccvj8cDpdCIzM1MRisNQKN642O12WCwWFBYWxkVVI9cqpiNSYQCd0VMViE6n67IT0+0vQRBECatKpZLVn+N0OmEwGPDiiy9i4cKFsjw3peOWGX32UM9MHfIOhwNOpxMAkJ6e7qfQMZlM2LNnj18cRltbG9RqNcaMGeMXdzNgwICgLzU1LHRAkRufz4empiYAQHFxcdB7OBwO7N27188X1dzcDAC44IILRD/JtGnTMHz4cHAcJ/ZZt9stCgKkyrNgz9xx6ysjIwMGgyGqra+uOHv2LHJzcwNK0aPxi1DlnUql8lN20nQ9ofqV1JhIHfF0dSKXyMZqteLBBx/EK6+8gpkzZ2Lt2rUoLS2N+bodoVt/8Wg3OVG0ceF5Hk1NTcjIyEBubm7c7iP3KiYQ0lUN7eDSLTQ6+6RnZ3c0KuE8QzT+nMmTJ2P06NFYt26drM8rJdSWWSCHvFS109VMmud5HDt2zE+ZVl5eDqB9UJcam0mTJkGv14ttEC/DQqEGhhAiGpjKykrRMO7cuRPff/89eJ5HVlaWn68k3BghqfJMKgigxobjOHFrzWq1ApBv6ysYXq8XVVVV6NWrF7Rarex+Eel93G43CCHQarVisKI0XCBQzEm4fsFI+OKLL3D33XfDaDTimWeewT333BM3yb0gCLDZbOJYpVQUbVxaW1vh9Xqjco5GQ7xWMR2h+7wej0d0HEp9KlQ+K8cWRVf+nAceeAA7duzA/v374x6fQ59but1BhQBShVes929pafFTTkmjzMeOHYspU6bgoosuwvTp09GvX7+4zf6cTif27NmDzz//HHv37sWBAwfEdOpDhgzxU3CNHDky5vb2+Xziisbj8cBms4lGJysrC/n5+bJufXW8NzUcTU1NqK6uRl5entjXaNxPR0Mix26E2+0WJ4fSGBGpMYlXwKHNZsNDDz2El19+GZdeeinWrl2LAQMGxOVeUuiEIisrS7HBlIo1Lk6nEyaTCfn5+Qm1zolYxUihL6XL5RK3j+ggHyi2Rg6k8TkbN27Evffei+rqalEsQbfW5IrPIf/NnEuNCp1hp6eni9sdXSntYsHn8+HIkSP49ttvRWNz5swZAECvXr38gjwnTJgQdX+rqanxU3AdOHBADDocP348xo8fj8svvxyXXHIJCgsL5XxEEZ/PB4vFgpaWFjgcDj/DrdVqxRVNtBOnrvwiHMeJ/x4yZEjALAhyQCcq0tUJ3fbSaDR+K7d48eWXX2L+/PlobGzEU089hUWLFiU0Ea7NZgMAxUqTFWlcBEFAU1MTdDpd0tKHxHsVI03VQmWWGo0m6tiaaDl27BhGjx6N//znP7jssstk8+fwPO+XcoVGyNPBRpoqg94rWpVZONA9erp10tTU5Le62bt3L5xOJ3Q6HSZMmOAXdxPo4C+3240DBw74GZO6ujoAwMCBA/0UXKNHj4ZarUZzczPcbjcKCwuh1+tlfT7p1hfHcaLDOy0tTYwboT+EENFXkZ6eHlQQ4HQ6OwUdhuMXOXfuHDQajay5r0LFnNAVCvVJejwePym33JMzu92ORx55BC+99BJmzJiBtWvXYvDgwbJdP1yo6IUaUqWhSONiNpvhcrlQVFSU1CUfjerleV4Maou1k0qNCnXEhjIWscbWdIUgCMjPz8dDDz2Ehx56KOhnOqa/CeTPIYSI6jYai9PRIR+qHFKHaywyUClUxSc1LIHwer04dOiQX9xNZWUlAKBv374YO3YsCgoK4HK5UFFRgQMHDsDj8SA9PR2TJ08WjQlVcAUrC11RFBYWxiwnpdJUk8kEl8sFrVaLvLw85OTkBH1v6OArFQRIB23p9lY0fhGanaGgoCDmzAuhHPFdTUKkMWEcx8mWt+zrr7/G/Pnzce7cOTz55JNYtmxZUo/toO2YnZ2tuONDFGdc3G43WlpaYDAYFKPlpvubdN84GoMXTqqWcJArtkbKrFmzkJOTg/fffz+i7/E8D5fLhba2NthsNnFWS31G2dnZ4oAerj8nGpVZqGtRIxeJEfZ6vfj++++xZcsWbN26FYcOHRKd4UB7fffv3x/Tpk3D9ddfjxkzZqBXr15hl6ulpUVM+hjNlobP54PZbIbFYoHP5xMTKHZ1rUB5tCwWCxwOBzweDwghooIsLy9PLF8kg7Lb7UZNTQ1KSkoi3l6UGjqpIz6WmBOaecHr9Ypih2jeO4fDgd///vd48cUXMW3aNKxduxZDhw6N+DpyQ2XlNNZHSSjKuBBCxPiAeO1JR0u0q5iORkXOzK9yxdb87ne/w8aNG1FTUxPWM0kj5Olz0X19ut0TLN9aJP6cWLbMpIalqywGjY2NfnEl+/btE7P0Tpo0SVyRTJw4UTwoiyrTampqALRn75Yq07o6XI1uYRkMBr/U/qGgfkibzSZufeXl5XXqT135RQCIW1jS1YhGoxEnUj6fT5zx0+2zcIyzxWJBc3NzyBQzlK5iTuR0xMeSUmbHjh246667UF1djSeffBL33XefopzoVCSj1+sVk1UaUJhxaWtrg91uR1FRkWIDhMJdxUSa/0sOgsXWdCUM+Oijj3DjjTeiqqoqoH9B6pCnBlatVvulXAl3IAnlz+kok6b+nEi3zEIZFp/Ph0OHDvkZk7NnzwIA+vTp4xdXMn78+C73smtra/1k0N99953oxJdul1144YUoKiry+67FYoHFYhH9I8Gepa2tTdwq1ul0MBgMyM3NhUqlisgvEokij65KaR8GIAoC0tPTg/b7pqYmuN1u9O3bN+h1Y0n+GCuRGBmn04lHH30Uf//73zFlyhSsW7cOF1xwQdzKFgtOpxNer1dRqWEUY1y8Xi+am5uRnZ0dVi6kZNJxFSNd/seS/0tOIhEG1NfXo6SkBO+88w5uvPFG8RmlsQk0lkCq/pGDcP05dNCh3TXYlllHw9LS0uIXV7Jnzx44HA5otVqMHz/ez5gEGxAjweVyYf/+/X6p7evr6wEAgwYN6nS4Gl2NUKkwhW59mc1m8DwvxnEA8DMmcsSLdAUdkF0ul7h9JlVkSVdo1dXV0Ov1oiGl/TCRMSfh0FXest27d2PevHk4e/YsHn/8cfzmN79R1GqlI0pMDaMY40KjkiPJKJtspKsYvV4PnueTblSC0ZUwYMiQIbjlllvwu9/9Tpz9Aj/MfLOyshJ2xgbQdXyOtNtSgwkABw8exO7du7Fnzx7s2rVLTBfTs2dPv7iSCRMmyK7YCgQhBNXV1X6rmwMHDoi+kilTpmDixIkYPnw4LrroIvTq1Qt1dXXiCqDj1lA840XCfR6p8kwQBHFw1ul0qK2tRX5+PjIzM2VL/hhPOhoZQgj+9Kc/4dlnn8XEiROxbt06jBgxItnFDAuv1wuHwyFK+5ONIoyLzWZDW1tb3FK8xBOe50WnqE6nQ05OTtz19XJAVzV2ux1tbW249957YTKZsH79emRnZ8NgMCguf5E0PkcQBDQ3N4sJLnfv3o0DBw7A4XCA4ziMGzcO06ZNE4MlS0tLFdMmNOXLN998g2+//Rb79u1DS0sLCCHo0aMHhg0bJqbJHz16NHJycuIWLxIrHo9HXEm1tbWhvr4eAwYMQHZ2tqgQjPdWlxz4fD7s2LED9957L86cOYNHH30UDz74oKL6fzgoKTVM0o1LolK8xANpqhbqtJaeXqlUOjrkOY7D2rVr8eKLL6KiokIse7xia6JBEAQcP37cL67kxIkTAICCggJMnjwZkyZNEp3ptA3owBbMn5MIgvlFvF4vbDYb3G43zGYzqqqqcPz4cZw8eRLl5eXgeR45OTmYMmWKX1oYuQ5XixapI5769oD2jBpGoxF9+/YVRRjSIwOUJpWl0GOqn3nmGYwePRorVqzAiBEj/FLKpAo0NQwdh5JJ0o1LS0sLfD5flyf4KYlg+b94nofT6Qzoi0kmNP5EGiHf0SH/1Vdf4fLLL8f333+PkSNHxjW2Jhzo4VfS9PsWiwUqlQpjxozxG2z79u3rtzUmdRrTQY4KAyI5PydS6PkiHQ1JR7+ISqUSy5aRkSHGhOh0OjFlv8fjQVVVld92WktLCwD4Ha42bdq0iA5Xi5aukj9qNBrU19dDEAT06dMnoCBAqjxTyuRr//79mDdvHsrLy/GHP/wBDz74ILRabae8ZamwG0GhmZOTnRomqcbF4XDAbDajoKBAkRGmHaGHOdEUEx2dgBTqi6F5wpLRwFR0QAc7agiDOeRtNhvy8vKwcuVKzJ8/3+9v8Yit6VjWkydP+im4jh07Jh5+JQ1QnDJlihjP0dVZLMFUZh3FA4GMTscsBNLBm+f5gMkYpcdid/SL6PV68VwSt9sNnU4nBjx2NAwejwdNTU1Qq9Viyn5CCE6fPu0ngz5y5AgEQYDBYPA7fkB6uFosbRIq+WOgNq+srER2djYKCgo6XStcQUCi8Hg8ePLJJ/GXv/xFTNw6duzYgJ+jZVaaHzUUNpsNhJCkiqOSZlxoipe0tDTk5eUlowhhE65RkSJdxSQqPYM0KSTNVSaVonblzxo3bhymTp2KVatWBf1MoNgaGoMSbmyN1WoV0+bTaHh6+NWoUaP8jEmww68iSZkfKDCzo6O8oz+HDqz03HV6DADNO0cH2kCHVEn9Il6vVwx4pAkk8/LyulT0eL1eNDU1geO4oCn76eFq0qONpfUoVaYNGTIk5KAYa8yJz+dDZWUlevXqFTKYL5QgID09PSE+1++//x533XUXjh49ikceeQQPP/xwyPvSPi+VZCvdyNDUMMncQUmacaEzuFhO64s3wfJ/RQLdGojXKkZ61CsNkpOmrI+kvAsWLMC+fftw4MCBsL8jja2Rztylq5qOh1/RGXdubm6nVUk4frdYzmLpGJhJB02XyxXQL0INDfUd0B8ahEi/33GLTRrwqFKpxHPoI5mld0zZ39V3BUFAeXm531ba0aNHAbT7paZOnSqq5ejxA3LFnNhsNjQ0NKB///4RtYk0FQ3P82LsiVzplqR4vV489dRT+NOf/oThw4dj/fr1GD9+fNjfD5RSRu68ZXJC6zVZ22NJMS5KTPEiJdL8X+FcT85VTCCHvHT2HK2xXrNmDRYtWgSz2RxVKglCCCwWizi47d69G3v37kVrayuAHw6/ogPcBRdcEHFZacxOpCd7UqgxpgpFq9UKu90uZg6QJteUrko6tn+g+Byfz4e2tjZYLBYxkDI/Px8GgyFqCS4VvPA8j+Li4ohn9maz2e9wtd27d6OtrQ0qlQqjRo3ClClTRP/NkCFDoh6EWlpaYLVa0b9//6i+D/zgy+yYIUAOQcDhw4cxb948HDp0CA899BB+//vfR71KilfesnhAE5kmI3Nywo0LIQRNTU3QaDSd9maTjVz5v4IR7SommEM+IyMDWVlZYUXIh8PBgwcxYcIEbNu2DZdccklY5Tp79qxfkOLBgwfB8zyys7MxZcoUTJkyBZMnT8a4ceOQm5sbkzAgEsMi9YtIVyQd/SIZGRl+qxHqbI5kkPV6vTCZTKJRycjIQE5ODtLT0yP25wSCbiH7fD4UFRVFNDmRqrqoETx16hT27duHvXv3BjxcjWYUmDRpUtiTv7q6OqhUqohyrHVVbpfLBZfL5ZfhOFJBgM/nwzPPPIPHH38cQ4YMwfr16zFp0iRZyihX3rJ4kszUMAk3LjQmJNKzxeOJ1KjEO1ULTUUvCELIVUykDnk58Pl8yMvLw2OPPYYHHnig09+dTie+++47PzkwPfxq6NChfmnmR4wY0al9YxEGSI98ll43UB4tej4ORbpNGCpeJNiWWbAy2e12mM1m2Gw2qNVq5ObmBtz6CuTPiTTfmiAIMBqNcLvdKCoqCtr+HbMc0+uHSv7Y2toqHj+wY8cO7N27FzabDRqNBuPGjfMzOMHihSoqKpCXlxcX/6kgCH7KM6mCK9SuwtGjR3HXXXdh//79ePDBB/F///d/cfF9xpK3LBFQ2XtWVlZCXRAJNS4ejwdGoxE5OTmKOOAmGfm/KNJVDM31JJ1t0/xQkTjk5eCyyy5DcXEx3n77bdTU1IgDDj38ShpZTg3JhRdeGPEqNJKkm9Sw0NlsV3m0pFuE0ZxsKT07BICfX0UQBLS1tcFkMsHj8YiClGhSnkeab02lUqG1tRVutxsFBQXIyMgIGnMiVXVFWi6e53HkyBG/4wdOnz4NoP1wNamxmThxIlQqFaqrq9GnT5+4x1bQd5a+P+S/J5nSiZpOp4PP58Pf//53PProoxg4cCDWr1+PKVOmxLVcgHKNTLJSwyTMuBBCYDQaAaBTAr9Eo5T8XzS632q1ikomIHqHfCy43W7s378fjzzyCPbs2QODwYBz584BaM+JJXW8jx49Oi6Hp1FDQ1dsdEXicrkgCII4SHbMoxXMLxIrUpWZ2+0WjxbgOA7Z2dnIy8uLy2AaKt8aPRPGZrMhPz9fNJ505dfVaitampubxbijXbt2Ye/evWKOtrFjx2LkyJG46qqrcNFFFwVMfhoP6HtMjY0gCDh9+jTuv/9+HDhwAL/5zW/w+OOPJ1wt1VXesmSQjNQwCTMu1IFaVFSUtH1JqVGhq4JkGBW32+2n8KKxGtnZ2SgsLExI/dTV1fkpuPbv3w+PxwOdTgePx4MlS5bgyiuvxLRp01BcXByXMoTyi1DnLnWwZ2VlIScnR1z1JqoP2e12mEwmtLW1AYCY5p4OGInoO9TA0L7i8/nQ2toKh8OBvLw8GAyGgNtq4fhzosXr9eLw4cPYuXMntm3bhn379onHD5SUlPgFeY4fPz4hGcGfffZZPPbYYygpKcFzzz2HyZMn+ynPEq1K9fl88Hg8ijEyDocDPp8vYZmTE2JcfD4fmpubkZmZGXNwV7TQGQ4NhkpkxK3UIU8bmG6H0Zk39bF05YuJBo/Hg++//97PmNCBoLS01C8zcF5eHoYOHYoPP/wQ1113nSz3l6bsD8cvQmdXtB7oNpXH4/GLuo8ktiYSBEGAxWKB2Wz22/qifTfYlplcSFdMHZM/SlcnNH4mOzsbWVlZMZ+fEy01NTXiccpSGfTevXvhdruRlpaGiRMn+sXdyOX4B4Dy8nLMnz8fu3btwq9//Ws88cQT0Gq14opGKgigfSqRgzyNkxMEQYyTS0b4RaJTwyTEuBiNRlFKmehVQrBULfEmkENeup0TyKEsDTCT+mIipaGhwU/BRQ+/oi+51Jh0fMkJIejTpw/uuusu/OlPf4r43uGeLxLMLxLOIV9dxdZEG3vg8XjEAVsQhJBbX+EEZkYCdcRHGnNCz3qhZe1YvmjOz4kEQgjOnDmDoqKiTjFKdFIjNTjV1dUA2ic1UmMzduzYiFejPM+jrKwMv/vd71BSUoK1a9dixowZnT4nFQTQWLBwBAFyQwMx6ViUjLxlNDVMIrbc425ckpXiJRlGJZBDXho3Ee7z+3w+P4d+qO/Rs9+lxoQeflVSUuKXZn7cuHFhleGGG26Aw+HAZ599FvQz4ebR6mhIQnVoeiwA0PXpkZRIzq0JBt36stvtUKvVYsBjuC8fNQzhqsyk5aarE2l6FWpQwu2vNpsNra2tnc6ECVbWcM/PCSffmsvlQm1tLfr27RtW36qrq+t0uJrH44Fer/c79fPCCy8MuR17+vRpzJ8/H9988w3uu+8+PPnkk2E5q8MRBMSbZOctS1Tm5LgaF57n0dzcjPT09IRlco0mVUss0LT11PEM/LDFE4vzjBAi5mLSaDTQ6/VQqVRimnn6I3WsTpgwwc+YROtY/fOf/4y//vWvYhr4cOJFOjrYI51I0JgBugKJttN3dW4Nja3puPWVnp4uqr6ivXcolRnQOeYE+CH5Y6znnNjtdrS0tIiJMCN9hq7OzwnmzzGbzWhpacHAgQOjqjcqJJEeriYVkkiVaaNHj4ZKpcLy5cvx8MMPo1evXlizZg0uvfTSiO8LBBYEUJUXTUUTz8E3WXnLBEGA1WqNe2qYuBqX1tZWeDyehKR4kRoVOhOJl1GROuSpjFnqP5HrvjzP4/vvv8dXX32F3bt3Y9++fThz5gyAdkmoNK5kwoQJMXUUqV/ks88+w5133ok333wTPXv2FD8TbrxIpEgNi9wzx46xNR6PB1arFU6nE2q1WozNkHsPmh4cRw0cAHHbKVTMSSw4nU4YjUakpaWhqKgo5muHE5/T3NwMnudRWloqiz+HEIKamho/Y0Ml8PRkTbPZjGuvvRYvvfQSSktLY3pGKV6vVwzc5HleDE+IpyAgWXnLqEGNZ2qYuBkXl8uF1tbWuMk1KXLk/+oKuoqgBoXq2KUZb+XoeK2trWJsAT2SlwbojR07Vjyv5LLLLkP//v2j7oAdY0U6+kU8Hg+uuuoqPP3007j99tujjhcJh64yG8sF3TqyWCwAgIyMDGRnZ/ttn8UqDAiU/JEOxlKfUDxVZi6XC83NzdDpdCgqKorbgEifr6KiAnq93s/fI/f5OXa7HX/4wx+wYsUKMbuFyWQC0B68K1WmBQrejQY6WU2UICAZectsNhsAxC3mMC7GhZ4SqNVqu9wDjuUeNAeRHPm/Al1fGvkdjkM+0usfO3bML0hRmoZDGldC03BIfTHhZJAN5BdxOBx+folgfpGRI0di5syZeOmll6J+xq6It2GhcURmsxler7fT1pdUGED9HpEKA6SqrkDnnFBD0tWWmZzQM2E0Gk1cdw14nsfZs2fRs2fPTmq1cPw54Tx/ZWUl5s+fj+3bt2PhwoV4+umnkZWVhcrKSr8gz45ph+iKfsqUKTFnDaATWLpNDcBPzSjnuJPIvGU0c3K8srbHxbjEM8VLPPN/0dQsdBCO1iEfCLPZ7JdiQ5pAcOzYsX7GJNT+dSBfTKR+EfrvUM/zy1/+EseOHcOePXuifuZQUN9DPAwLPdmxra1NPNMiLy8v5LZhuMIA+rlg55yEM2BKnfixqsyCQVP2q1SquKVastvtqK+vR2lpacg2DKRakw47gQwOx3FYvXo1/vd//xf5+flYs2YNrrjiipBl2bdvn995NzRoe/jw4X7KtGgSplLo+EN/pIKA9PR02fqyNG8Z3S6OxwQsnqlhZDcuNMVLbm5uVJl1g0ErW+5ULYEc8unp6eJAHE2D0tTn0riS48ePgxCCgoICP0MyefLksJelUr+IxWJBa2sr7Ha7qDoB5POLvPzyy/j1r38Ni8Uiu9MvlpT5obDZbDCZTHA4HNBoNDAYDMjNzY3qHlJhAD3Dhfrz6EFXOp0uJkd8NCqzSKAp+wEEPRMmFug244ABAyL+bih/TnV1Ne677z5s374d8+bNw9NPPw2DwRBR3ZD/Hq4mVaYdPnxYPFxtypQpovBlypQpUcXf0VUGVZ5RQYBUeSaHPzKeKWUIIeKxEHKO14DMxoUQgubmZqhUKhQWFsp2TbnzfwVyyEsH5UgHi7a2Nr+05h0Pv5LGlXR1aBOlK79IWlqaKB7QarXIyclBQUGBbB1v3759mDp1Kr755htMmzZNlmsCP2Q2lsuwdNz6ovv/scgsAyV/pLNt+kODE2ONrQH8fTWAvFtmPM+jsbEx7DNhIuHcuXPgOE62gEhCCNauXYsHHngAubm5WL58OS6//HLZ4nOsVqvf4WrS93TkyJF+Muhgh9SFQqo8kwoCqLGJdRs9XkaGZk6WOzWMrMbFarXCarXKMkuSM/9XMIe8VOEV7otMZ0TSzMDS42bp8jvcGZHX64XNZovKL0KJ1BcTDh6PBwaDAU899RTuu+++mK8HxH4WixR6ZLA0LYvBYIhqlRUs+aNU1SXtH9Kkm1I/SiSxNcHoGPcSq0SZXrO5uRk+ny+qM2GCUVFRAYPBIItftba2FgsWLMBnn32GefPm4W9/+5tfUGY8/DmC0H68tlSZJj1eWyoUiGSHAWh/J+mKhm5PU9VZenp61BOHeOUti0dqGNmMiyAIaGxsRFZWliznNtO9QDmWlw6HA/X19bI45Akh6N27NxoaGjBixAi/uJJhw4ZF3GnOnj2LmpqaqPwiHctFfTFyRd9edNFF6N+/P15//fWYr0Wd53IYFp7ncebMGb+Ax1iuSbe9pI74SOovUGxNbm5uTGWSbpnJscqjIhufz4fevXvHPIB4PB5UV1ejd+/eMWfaJYRg6tSpqK+vxyuvvIJrrrkm7O+G8udEs9VlsVj8juDes2cPLBYLVq5ciQULFkR8PVpGqSBAq9XGfJaVNG9ZLAcEUmjmZKqIk4OojQtdwnf8XbB9UZ7nQ55dEuh3HMcFvBZ1ogWCzhI6ft7r9YozNmmGXQAhl4Ll5eUBz+cI9XIOHDgw4O+dTmfA8gqC0MmA0tl0KENNl94dfxdqUAvWCU+dOtXpe9E+Z6D2pL8Pdv9QL4fb7e5UDprUMlj5gs3OQ/U1KVThBSBofUq3a6TQ94BeR0qotglUNmlMSSCC1Vug97PjeyAl1PsJdH6v6LWCZRLgeT7oIHXixIlOZZCzr1HfTbC6DtXX5HwPgrWBIAhByxZsEhHsnQr0vnfVb4Ndj06wpM8q/XekBizq6VCgggd7GEIITCZT0FT7gRouVMXY7fagg65KpRJVHB1xOp3iNptKpQorawA9uW/WrFldfrYrpC9vbW0tCCHIyckRf0/z/tA9W5VKFdK4BDK+0c5w3W433n//ffzv//6vLMviSNu0q2t1fK5onzNQuTiOCzgQUMIZpOg2LjVU9OXleT7sOKhgZQuG2+0OOoBHOnjV19ejb9++Qe8V6Hqh2qCmpibooAu07yYMHjw46N/DpWP9uFwuqFQqcRDv+NmuMkW73W68++67+O1vfxvze0DvJweB8hDS7dNghifU+9bxetLYLHp9+hk6zkS6nRr33GLUsNC04HLQ1tYWdMlL41Mo0kqkzm+O41BRUYFBgwaFdb+bb74Zf//739GnT5/YCv5fWlpaRPmi1WrtpJ2nMTvBVm5SaNZZOfjss8/wySef4G9/+1vMjj05ywUATU1NcUn9T30coV6ccHKE0ezJgV5oi8USl/RHLpdLli0MKmWXM5ju9OnTIY3H0KFDUV5eLmuQoNvt7iSskA6SdDegq769bds2/POf/8Rzzz0Xc/3a7XbZVVh0C7wrkUAkyrpgfYkKWIAoJodEBrxeL/H5fEQQBEIIIYIgEEEQiMfjIa2trcTj8chxGxG32x3zNZxOp1jeruB5nlx11VWkpaUl5vsSQsiXX34py3UIIcRisch2LUIIOXbsGLntttuI1WqN6Tperzfs+g2HEydOyHYtiiAIxOFwRF1OnueJw+EgLpcr5DVirctguFwuWa7T0tIia1sRQkhzc3PIv9fU1JD77rtP1nu2tbXJdq2Kigryi1/8gjQ1NcV0nYaGBplK9AORjF3h0NbWJnv7E0JIzEsJmovHbrfDZrOJiier1Qq3243c3FxZ5W1EEtMRC+np6aivrw/rsyqVCh9++CHuuece1NXVxXxvOWexcgdWDR8+HM899xzuuusuMQgtGtRqdUD/V7T06dMn4FZnLNBtpVhmz1QBFOoamZmZstYFJZJtCiKRUUuhWyFyriDIf+O5QlFSUoKJEydi7dq1srWrnJHsAwYMwKpVq/CrX/0KFRUVUV8nHscK+3w+2dsrHmlmYt4WO3funKhzp440utcYjwLT0xLl4MyZM2FvjQHthnThwoW4//77MW7cuKjuKc2GKwd0wJA7utZut2PevHl47rnnot4OpMoYOfoBIe3HZMt5RHY8tiyCYTKZYk5DIiWSAcFms4k+JekZMYIgoK2tTfZzliJ5R9etW4fGxkb89re/jakPUx+l3GOO1+vFggUL8D//8z8YNWpUxN8n/902lWsSSLoQBERzvXiMHwAQ0xUJIcjLyxN9A10dbCQH0tMLYyXSBk9PT8e6devwj3/8A5s2bYrqnkeOHJG1ITmOg91ul+16lMzMTLz22mt44IEHUFlZGdU1tFptSEd5JHAch9bWVlmuBbT33UScxhcvgjlxO0Kjr3Nzc5GTkyNmFqaSXTmyJ3ektrY27M/edddduOiii3DvvfeKMUvR4HA44jLmaLVarFu3DmVlZfjuu+8i/r7c/ZYeJCgXdrs9brnnYrpqW1tbXM8DCIScHah3794Rf0etVuPZZ59FeXk5XnrppYiX9GazOeJ7JgudTofXXnsNv/vd73Dq1KmIv09VU13VUbh12Lt3b9m2UBwOR0JPAZR7eyTcbTaLxYKMjAxxN4GecZSRkRG3TNfhGj7KJZdcgsceewxLly7F8ePHo7pnPM9sUqlUWLlyJdavX49du3ZF/H0507XINVmjRNpWkRBTz7Lb7Qk9QY3neVkVLTQRYaRwHIff/OY36NOnDx566KGg8Q6JIjMzU3Z/BEWj0eDVV1/FE088gRMnTkT8fZ1OF7J+6LZBOGRlZckyCyQhYiDihU6ni1sbBcPj8fidx5MICCFR3bN3795Ys2YN1qxZg/feey+iukrEKpTjOJSVleGNN97Azp07I/pufn6+LIO43M9JCIlbun0gRuMSD4I5HoH4GDOHwxH1d3/84x/j5ptvxt133x321lQ8jiBQqVQBAzSB0PUZLmq1Ghs2bMAzzzyDw4cPR/TdUKsXIgnEC/dasYgMKF0FDMYDaexLrIQramloaIjLuSPSjNAd+1ZdXV3UA5ZOp8Ozzz4Ls9mMxx9/POxJW6ImuRzH4YUXXsBbb72FHTt2RPQ9OSZFcm+JxXv1HtOV5RwoCfnhyFGaqJKmnKYH98RjQGhoaIjp+xMmTMCTTz6Ju+++WzyeNRQjRoyI6X7BkM7+yX/1/NL6pHUaLSqVCmvWrMGLL76IAwcORPRdrVbrdyIjLSPNjBzJwNCzZ8+QzxGOIXW5XAldcVOsVmvIv0sH6451JYVGUneF3EpCj8eDpqYm2Gw2MSt3a2srTCYTLBaLeIRELHAch/nz5+Pqq6/GPffcIx4KFopErgg5jsPzzz+Pt99+O6IVTDgTi66eQ+4tMbmv15Go1WL0a3IpgZxOZ6eEf1QZQZUx8RAKRKoYC4bdbsfSpUtx3333Yfz48QE/Ey/JH9C+B0/31el+fMfUHMFSf0QCIQRLlizBnXfeialTp4b9PZr3ic68qLon0pkYIQR1dXXIz88Xt5poHi7p+fTBVGXU8Mqdfj4culKMUYMbrI9Q4YzH4+nS1ym3CogQIipDOwYp0jqlKV/k6uNNTU343//9XzzwwAMYM2ZM0HLFS+0UCkIIfv3rX+OWW24JK2u4NNCWvgvAD21K6y/Yqi8eKjE5rxeIqI0LPfNcCt3iCNa5gr3QUpkkpatOE+z3kcYTGI3GkCnDq6qqOv0umJHgeR4PP/ww3n777YDXslqtnWaT9JyaYINFqEGk42zI4/HA5/OFzLoa7PeBnhMI/KyEEDzwwAN47733gn4n2O+lpzVKyxJqQAqU16q5udkv9TpN7kjT1QczooHysUXb14Jt2wTL7+Z0OkNuGXVsz471SMspnWQFq7dotlBCGVx6Ro70fl3tJgRbOUXyTnm9Xvzf//0f3njjjYDXCraKC5VjL5QhiqRshBDcf//9+OCDDwJeq2P/kKbMp3Ut7XuhEpQG6rf099E8Z6B660rOHakBj9q4BHoRmpubkZ6eHjQ1S7DCBSoCTSEfTGUTrAKCJf+jGXkDfS9UpQXypXSVVDPYANKxsxFCUFlZCYfDgeHDhwcsR6gBIlBAnN1uFwP7AhGs3gI9J+3QgcoV6jmDdalQiStDGZeOberz+VBbW4v8/PyY+xpdNQPBFV3ByhboOekRCpmZmQENXFepZDridrvFc2MiKVuw9yDUVmSo9yDQRKa+vh7FxcVBnczBrtexr9FZtFx9jW4H6/X6gIN1qDaId9m6aoNI+hpN6x9M9RdJXxMEAXa7XUxBFYhIV6RR7w0EepicnByYzWZoNJqInHqBCq3T6eBwOCJeugUql9vtRl1dHUpKSiL223QMstu4cSN++ctfory8HEOHDo3oWh2f4/Tp06ivr8eoUaOi2h8PlLQyLS1NnLVGcs1AwYRr1qzBvffei1OnTkV02mCg9qRp6XU6XcQzoI6ft1qt4HkeOTk5kc+mAiQ6pJOYSF+eYP02LS0Ndrs94tT9ga6n0WiiisgOVC8ejweNjY3o2bNnxNujHa/X1tYGjuOiqjdpX3M4HLj88stx7tw57Nq1K+KA3UD3TktLA8/zcLlcEaejD/Qe3HbbbdizZw9OnDgR0bUClc3n86G1tRUFBQURvZ/BVnXRHpHdcWuTOvfl3NaUdaMyIyMDWVlZaGtriznYkfoLYnFCyw0hBGVlZbj66qsjNiwdqaurw7lz5zB48GBZI7fpOd7SA8ei5Re/+AUMBgNefvllmUoXO4QQmM3mqAxLR+g2RSyHNwWCnqdjtVpjVohJfVRKged5WK1W5ObmxjQQCYKAO+64A8eOHcO//vUv2RLDAu3HfXMcB4fDEbPDf+nSpThz5gy2bNkiU+lih/pt5PCh0qPSo5kohEJ2L1hOTg70ej1MJlPM+ZR0Op143okS2LVrF7777jssW7Yspuu0trbizJkzKCkpke2IWCn0+GO73R5T3WVkZOCuu+7CunXrYpJsy4nVaoXP54s5P5vX6xV9XfFw7mdnZ0OlUsFqtcY0uFEhS7yVPZEgPf0zFn73u9/hww8/xBtvvBFUBBMtdFVFZ+WxMHXqVEyaNAllZWUylS526PHssfZdp9MJQRBkOXCsI3GRWBgMBmi1WrS2tsY046I+kngk/YuGsrIyDB48GFdffXXU17Db7Th+/DgKCgoi2mqKlMzMTFlmbosWLYLZbA7qUE00ZrMZGRkZMcnS6V61TqeTXa5L4TgOWVlZEAQBNpstpmup1Wpx7z/ZEEJgsViQnZ0dk9Jo3bp1eOaZZ/Dss8/iuuuuk7GEP0BPd+V5PmgcWDhwHIelS5fis88+Q3l5uYwljA7qt4l11eJyueD1eqHX6+OiGouLceE4ToyBaW1tjXpw4zgOWq1WEVtj9fX1eOedd7BkyZKoLbzH48GRI0eg1+txwQUXxDXWguM4ZGZmQhCEmGZuAwYMwLXXXhtVqhu5cblccDqdMW0jCoIAl8sl+qfiiVqtRnZ2Nrxeb0z536iCRwmrF7vdDp/P53e+faRs27YNixYtwsKFC/GrX/1KxtJ1Rq1WQ6/Xw+v1wu12R32dn/3sZygqKsKKFStkLF100JixWCZGVPRAt9HjQdzE4SqVCvn5+fD5fGEFQgWDxjIke/WyatUqpKWlYd68eVF9n+d5HDlyBAAwatSohKQfoTM3n88X08xt2bJlOHz4ML766isZSxc5ZrMZWq026ghwqgzjOC5hOfE0Gg0yMzPFM9RjuU44edrijcViQXp6etSG+cSJE/jJT36CmTNn4oUXXkhIMKtWqxWFLtGOI2lpaViwYAE2btzYZTBsvAmlfA0HOh5Q8Um8iGvkkVarRX5+PlwuFywWS1TXoPrvZK5ePB4PVq1ahTvuuCPqGduJEyfgdDoxcuRIWc+d6AqNRgO9Xi/OVKLh8ssvx/Dhw/HSSy/JXLrw4XkebW1tMflapPL2REbop6WlQa/Xw+FwRN2PaWxLMh379BjuaNvAaDTiuuuuQ+/evfH222/HbcYciLS0NGi1WjidzqjrcOHChXA4HHj11VdlLl340CDhaOuO7mTQcSGexD2sNS0tDbm5ueIhYtFAkx8m68V699130dDQgKVLl0b1/YqKCrS0tGD48OFxTRQXDDpDoXuskcJxHJYsWYKPPvoINTU1cShh19Bs0tEadzqoUBVRotHr9dDpdOK2UjSo1eqkGhcaZhDNGThutxs33ngjbDYbPv7445i21aKF+hZoiEOklJSU4Mc//jGWL1+eNP9XLPJjqgyjYod4k5CcCZmZmcjMzITFYolq9pxsWXJZWRmuuOKKqPKC1dfXo7a2FoMGDYpL0spwoXur0c7cbr/9dmRmZmLlypVxKF1opPLjaF4qKjmOl+MyXDIzM6FWq2Gz2aIanKhjPxkGhsqPc3JyIjbOhBDMnz8f+/btwwcffID+/fvHp5BhQFet0Qpdli5divLycnz++edxKF1oaJqjaFct9Jmp2CfeJCwhT25uLtLT09Ha2hrV7JnKkhO957xv3z7s2rUrKvmxyWTC6dOn0bt3b1k1/NGi1+uhUqmimrllZWXhl7/8JdasWSPrgW3hQE9SjMaRTyXHaWlpScknJoUqyABEJVGmUeLJcOxTP0M0K44nnngCb775JjZs2IALL7xQ7qJFhFSiHI0fcsaMGRg7dmxSZMlUfhyNcXE6nfD5fHE7wycQCc32lpeXB41Gg9bW1ogHN+rASvTqpaysDP3798e1114b0fccDgeOHz+OvLw8WRJjyoF0ORzNzG3x4sUwGo1Bc6fFC5PJBL1eH7HzkUZpa7XahPq5QqFSqZCdnR21RJmeQZTobRmLxYKsrKyIV35vvPEG/vjHP+KJJ57Az372sziVLjJUKhX0er0oSY8EKkvevHkzKioq4lTCzlD5cTSGhWZEp6eQJoqEGpdYJMrJkCU3NTXhrbfewuLFiyN6qbxeL44cOYK0tDQMHz48KXv8waAKMkEQIp65DRkyBFdffXVCZclutzsq+TF9PrVanfDTUrtCrVYjKysLXq83Ypk4lSUncmvMbrfD6/VG7Mj/9ttvMX/+fNx+++14+OGH41O4KJEKXSIdU37+858jLy8vobJkumsT6STJ6/XC5XKJgoZEkvDDwtRqNfLz8+H1eiM+8jfRsuTVq1dDrVZj/vz5YX9HEAQcPXoUPM9j5MiRSd3jD4ZarUZGRobY8SJh2bJl2L9/f8Sn8UWLyWSKOFedVHIcb0VMtGi1WmRmZsLlckXcBhqNRjysKxFEIz8+c+YMbrzxRlx44YVYtWqVoiZYFCpRdrlcEW016vV6zJ8/H+vXr48pfikSuso4Hwie5+FwOEImo4wnSTmJUqvVIi8vD06nU0wlEQ6JlCV7vV68/PLLuPXWWyNyxJeXl8Nms2HUqFGKmzFLoTO3SA8Rmz17NoYMGZIQWbJUfhzJS0Ulx8lShoVLWloa0tPT4XA4IpowJTLfmMfjgcPhiMjXYjKZcP3118NgMODdd99N+KmfkRCtRHnRokVoa2vD66+/HsfStUPlx5GsWmiWYzqRTAZJO+aYpua32WwRbQ0kSpb84Ycfoq6uLiJHflVVFZqbmzFs2DBkZ2fHsXTyoNPpoNPpRGdfOKhUKixevBjvvfdeWCdvxgKNjYpkO8blcomS40QfIBUNGRkZ0Gq1sNlsEfVpunqJNxaLRdzGCwev14uf/vSnaGxsxMcff4yCgoI4lzB2aOLSSIQupaWluO666xKyRez1eiM6WI/mU6NZOpJFUt++rKwsZGRkwGw2hy1RTpQsuaysDJdccknQE/A60tTUhKqqKgwYMCDoKYhKhJ55EcmLdeeddyItLQ2vvPJKXMtmNpsjymFFj8VOT09X5HZkMLKyssQkl+G2QSJkyYIgRJT9mBCCxYsX45tvvsF7770Xc+bwRCE9OoCuesNh2bJlOHr0KL788su4lY3KjyNZtdB3OVGS42AkfWqXm5uLtLQ0mEymsGfP8ZYlHzx4EF9//XXYqxaLxYLy8nL06NEDffv2jUuZ4gmVJ9LU212Rm5uLO+64A6+88krcjLzNZoPX6w3bke/z+cSTERPtuIwVjuPEla7NZgurDagsOZ7Gpa2tDYSQsLMf/+1vf8O6deuwatUqXHrppXErVzyg/rlIhC6XXXYZRo4cGVdZMj2+PNw+nQzJcTCSblw4jkNeXh5UKlXYEmVa0fEa2MrKylBSUoIbbrihy886nU4cO3YMOTk5KTNT64hU+x+ugVmyZAkaGxvx7rvvxqVMVH4cjt+KZr1VkuQ4UlQqFbKyssTTRMOB5huLlyzZYrGIZ9N0xQcffICHHnoIDz/8MO688864lCfe0CSX4UqUaeaKf/3rX0GPCY8F6Qm64UD9p8FO4Ew0STcuQPuLVVBQAEEQwpIox1OW3NLSgtdffx2LFi3qsoF8Ph+OHDkCjUaDkSNHKtp53BUqlQqZmZlhpycfPnw4rrjiirg49qkTORxfi5Ilx5FCU6vQ5++KeMqSqcggnDbYt28fbr/9dtx00014/PHHZS9LItFoNEhPTw9bonzrrbciOzs7LpkrfD5f2NmPpZJjpUywFGFcgMglyvGSJa9duxaEECxYsCDk5wghOHbsGLxeL0aNGqWImUKsRCpRXrZsGXbv3o29e/fKWg4qP+5KFJEKkuNI0el0yMjIgMvlCssPGS9ZstlsFtVsoaipqcGPfvQjjBkzBhs2bEj6VowcUKFLOBLlrKwszJs3D2vWrIkp83ggPB6P6GMOhXTlrqQJlqJ6gk6ng8FggNPp7DKtNU3eJufqhed5rFixArfcckuXTvlTp07BYrFg5MiR3WZgAyB20HAkynPmzEH//v1lXb0IgoC2trawnMgulyslJMeRQmNKaPBiKOIhS6bBnV3Jj61WK66//nqkpaXhgw8+6FbvAT2hlJ7UGIrFixfDZDLhrbfeku3+PM+HJT+mWY5p1gEloSjjArSrl7Kzs2G1WrucCcgtS/74449RVVXVpSO/pqYGDQ0NGDp0aFKyu8YburTuSqKsVquxePFi/POf/0RTU5Ms97ZYLCCEdLkdQ2eVqSI5jpTMzMywJcpyZ0um8uNQK0efz4ef//znOHv2LP71r3+hR48est1fKdBJS1epkgYNGoRrrrlGVlmyx+PpUn4sPcI50cdIhIMi38rs7Gzo9XqYzeaQs2etViurLLmsrAzTpk3DxIkTg37GaDTi7Nmz6NevX7d8oSjhSpTnzZsHtVqN1atXy3JfKj8Otc2YqpLjSJFKlEMNWjTfmBwGhq4cu8p+/D//8z/47LPP8M9//hOjRo2K+b5KRCp06coHtmzZMnz//ff49ttvY75vuPJjuqpSgjIsEMor0X8xGAzQarVobW0N+dJotVpZZMlHjx7FF198EXLVYrVaceLECRQVFSU1bXiioLOhUAqy/Px83HrrrVi5cmXM/i+73Q6PxxNy1UIlxzqdLuUkx5FCJcqEkJDbxHLKkmmsTagV+fLly1FWVoYXX3wRs2fPjvmeSobm4utK6DJr1iwMHTpUli1iKj8ONcGiZzNlZGQodoKlWONCk1xyHIeWlpags2dq3WMd2F566SX07NkTN910U8C/u91uHD16FFlZWRg2bFhM90oVaIRvVzO3pUuX4ty5c/jwww9jup/JZEJ6enrQvWOa5Vij0Sg6pYic0CzKPp8vZBZluWTJNPtxsIHt008/xa9//Wv86le/wr333hvTvVIFKlH2er1BRRYqlQpLlizB+++/j7q6uqjvJZUfB1s50lNlqV9IqSjWuAD+EmWTyRRw9iyHLNlsNuPVV1/FvffeG3ApyvM8jhw5ApVKhREjRihyCRov6MyNnrsdiNGjR+PSSy+Nadbm8Xhgt9uDrlqoMkylUilKEZMIaOJOesxwIOSQJdNjmIOtWg4dOoRbbrkF11xzDf76179GfZ9URCp0CTaRveOOO6DX67Fq1aqo79OV/Ji+h/R0WSWj+FFSo9EgLy8Pbrc7aJJLnU4n7lNGw/r16+H1erFw4cJOfyOE4Pjx43C5XBg1apRiNOSJRKPRICMjQ5wxBWLp0qX45ptv8P3330d1D7PZDLVaHTAaXLpy6m7KsHDR6XTQ6/VwOp1BJ1LUsR/tFrHFYhHv05GGhgZcf/31GDx4MN544w3FbsXEE7oVGyzJZU5ODu68806sXr06qhN3gdDyY6oMo0lnlY7ijQvQrl4yGAyw2+0BtwZikSULgoDly5fjpz/9KXr27Nnp72fOnIHJZMKIESOSll1UCUjTkweauV1//fXo27dvVKsXQRBgsViCZj+mkmMlKmISCT0wjZ7M2ZFYZMlerzfoytHhcOCGG26Az+fDRx99FNHxB92NroQuS5YsQVNTE955552Ir03lx4FWLTR7Bt1JSAVSwrgA7c7lrKwstLW1BQzw0+l0YmrqSPj0009x5syZgI78uro6nDt3DoMHD47qiN3uRnp6OrRaLRwOR6cBTKPR4N5778Wbb76JlpaWiK7b1tYGQRACDmxutxs+n0/MXHu+Q9OxBEpyyXFc1LJki8Ui+nekCIKAO++8E0ePHsVHH32EkpKSmMrfHQglUR42bBiuvPLKqCZZVH4cyI9CRTWpNMFKqbc1JycH6enpMJlMnWbP0R6DXFZWhkmTJmHq1Kl+v29tbcWZM2dQUlKCXr16xVz27gJVp9jt9k6D29133w1CCNauXRvRNU0mU0D5sdfrhcfjQVpamqIdl4kmOzs7qEQ5GlkyISSo/Pj3v/89PvjgA7z22mshJfrnE11JlJctW4a9e/di9+7dYV+THmMcaNudTuYyMzNTaoKVOiX9L3l5edBoNAElypFmSy4vL8fWrVuxbNkyv5fKbrfj+PHjKCgowIABA2Qtf3eApvLuOHMrLCzELbfcgpdffjls/xeVH3dcGdLkgTQVB+MHOI5DVlYWBEHotE0cjSw5mPx4/fr1ePrpp/HMM8/gRz/6kSxl7y6EkihfffXVGDhwYESrF4/HE1B+nAqS42CknHGhEmUAnZJcRppvbPny5SgqKsLNN98s/s7j8eDIkSPQ6/W44IILUmYJmkioRJk6GKUsXboU1dXV+OSTT8K6Fs1hJXVQCoJw3kmOI4Ue4EV9JR3/Foks2Ww2ixkBKNu3b8e9996LBQsW4P7775e17N2FYBJlmrninXfeQUNDQ1jXCiQ/ptel29GpRsoZF+CHJJc+nw8mk0n8fSSyZKvVig0bNuCee+4RBzAqOSaEYOTIkSk3U0gkwSTKEyZMwPTp08M648Lr9cJms/mtWqTJKM83yXGkaLVaZGZmwu12+/kh1Wp12LJkqj6TrlrKy8tx00034dJLL0VZWRmbYIWACl06SpTnzZsHrVYbVuYKutsiNSA+nw8OhyMlJMfBSEnjArQ3al5eHlwul59EOVxZ8saNG+FwOPwCwcrLy+FwODBq1KiUbdBEQiWRHdOTL126FNu3b8eRI0dCfp/Kj6VOZHoS4PkqOY4UuuqjMSqUcGXJVH5MFUhGoxHXXXcdevXqhX/+858pOWNONPSAOqlE2WAw4LbbbsOqVau6nOx6vV4/+XGqSY6DkbLGBWhXL+Xm5sJms4lbA+HIkgVBwEsvvYQbb7xRVL+cPXsWRqMRw4cPP6+llpFCZ1bSJJc33ngjevXqheXLlwf9niAIMJvNyM3NFV8q+nJ212SU8UKv10On08Fut4ttEI4smUb901WL2+3GTTfdhLa2Nnz88cdhneXCaEev10OtVvtJlJcsWYL6+np88MEHQb9HE+9SI04lx1Q0kMqk/BucmZmJzMxMWCwWcd+zK1nyf/7zH5SXl4vy44aGBtTU1GDQoEEoKChIWNm7Cx0lylqtFgsXLsRrr73mt20ppaP8mEqO6UvKiIzMzEyo1WrYbDYIghCWLFkqP6ZnGO3duxfvv/8+E7JEAZUJU6HLqFGjcNlll4V07Hu9Xj/5Mf0uFc2kMilvXID2M93T09PR2toKn8/XpSy5rKwMY8eOxYwZM2A2m3Hq1Cn06tULffr0SXDJuw90tUFnbgsWLIDX68WGDRsCft5sNiMrK0tMPMokx7FBFWQARImyWq0OKkuWyo9VKhWefPJJvP7661i/fj2mT5+e6OJ3C6QSZeqHXLZsGXbs2IH9+/d3+nzHY4zp6l+pWY4jJfWf4L9QiTJNckllyYIgwGg0ora2FkajEWfOnMGmTZuwbNkyOJ1OHDt2DAaDAYMHD072I6Q00mW8w+FAjx498NOf/hQrVqyAz+eD0WhEVVUVjEYj7HY73G438vLyxGSUWq2WSY5jhK5CqERZpVKJsmRCCIxGI2pqamA0GtHW1gae55Gbm4u33noLjz76KB5//HE/5SQjcuihXVRKf+2116Jfv37iWS/SNnC73aIIiR7Ol5GR0X0mWKQb4fP5SH19PWlubiZGo5E89dRTZODAgQSA+JObm0syMjJIVVUV2b17N9m7dy/xer3JLnq3wefzEYvFQux2O/n3v/9NOI4jPXv29GuD0tJS8oc//IG0tLQQq9VK7HZ7sovdrfB4PKSlpYXY7XZiNBrJX//6107vQWlpKfnjH/9ItmzZQvR6PbnjjjuIIAjJLnq3wePxEIvFQtxuN3nssceIVqsl/fv392uDAQMGkL/+9a+kqamJmM1m4nQ6k11sWelWxoWQ9kZ9/fXXSUZGhl9DdvxJT08nf//737tdgyoBr9dL3nvvvS7bICMjg3z44YdsUIsDLpeLvPPOO122AcdxZPTo0cTlciW7yN0Op9NJ3nvvPaLX68N6D7ob3c64bNmyhahUKsJxXJcvlUqlIlu2bEl2kbsdrA2ST7htAIC1QZyI5D1Qq9Xdrg04QmQ69FkBmM1mlJSUiMd/dgXdH62trWWyS5lgbZB8WBskH9oGgZJbBqI7tkG3cegDPwRGhpv2ggYrvfrqq3Eu2fkDa4Pkw9og+dA2CHfu3h3boNusXAghGDJkCCoqKiI6LInjOAwcOBCnTp1KeV15smFtkHxYGyQf1gbtdBvjYjQaUVRUFNP3WQBlbLA2SD6sDZIPa4N2us22WKATKiPBarXKVJLzF9YGyYe1QfJhbdBOtzEuseYD63gCHyNyWBskH9YGyYe1QTvdxrgUFBRg0KBBEe9VchyHQYMGiWfEMKKHtUHyYW2QfFgbtNNtjAvHcWIiyki57777uoUDLdmwNkg+rA2SD2uDdrqNQx9g+n4lwNog+bA2SD6sDbrRygVoP6DnvffeE88RD4VKpQLHcXj//fe7TWMqAdYGyYe1QfJhbYDulbiSsmXLFpKZmUk4juuUeoH+LjMzk2zdujXZRe22sDZIPqwNks/53Abd0rgQQojJZCIvvPACGTRokF+DDho0iLzwwgvEbDYnu4jdHtYGyYe1QfI5X9ugW/lcAkEIQWtrK6xWK7Kzs5Gfn99tHGapAmuD5MPaIPmcb23Q7Y0Lg8FgMBJPt3LoMxgMBkMZMOPCYDAYDNlhxoXBYDAYssOMC4PBYDBkhxkXBoPBYMgOMy4MBoPBkB1mXBgMBoMhO8y4MBgMBkN2mHFhMBgMhuww48JgMBgM2WHGhcFgMBiyw4wLg8FgMGSHGRcGg8FgyA4zLgwGg8GQnf8H+GIj9aQ6WKwAAAAASUVORK5CYII=\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "fe7e145c", - "metadata": {}, - "source": [ - "Case 3: MLP encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "97fedb70", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 3.29e-02 | test_loss: 7.09e-02 | reg: 4.95e+01 | : 100%|█| 100/100 [00:22<00:00, 4.43" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "028bdd48", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "687b4388", - "metadata": {}, - "source": [ - "Case 4: MLP encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "170a99ea", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 2.62e-02 | test_loss: 3.64e-02 | reg: 3.19e+01 | : 100%|█| 100/100 [00:04<00:00, 21.95" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "66cbcede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_6_test_symmetry_for_trained_models-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_6_test_symmetry_for_trained_models-checkpoint.ipynb deleted file mode 100644 index 62180029..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_6_test_symmetry_for_trained_models-checkpoint.ipynb +++ /dev/null @@ -1,353 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 6: Test symmetries for trained models" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, to make target functions clear, we were inputing the symbolic formula. In practice, we want to apply symmetry testing and tree graph plotting to a trained model." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1416f4c8", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.hypothesis import *\n", - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "2a438584", - "metadata": {}, - "source": [ - "Example 1" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0b63eed4", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] + torch.sin(torch.pi*x[:,[1]]) + x[:,[2]] ** 2\n", - "dataset = create_dataset(f, n_var=3)\n", - "model = KAN(width=[3,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f4a151b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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0004TAxwx3377bVVV7dq1628/Ge60004TAxwxixcvrt9++63ef//92rhxYw0PD9fMmTNr/vz5ddNNN9XSpUv9oaLD4MwAAIRzPgUAwokBAAgnBgAgnBgAgHBiAADCiQEACCcGACCcGACAcGIAAMKJAQAIJwYAINz/AOxX+Ig3kiU2AAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "7377c9b3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.77e-04 | test loss: 1.13e-03 | reg: 2.02e+01 : 100%|██| 50/50 [01:03<00:00, 1.27s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "bd0c7fad", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "0be943ea", - "metadata": {}, - "source": [ - "Example 2" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "62cdea16", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] * x[:,[1]] * x[:,[2]] / x[:,[3]]\n", - "dataset = create_dataset(f, n_var=4, ranges=[0.5,2])\n", - "model = KAN(width=[4,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "675773b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f65dc471", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.49e-03 | test loss: 3.76e-03 | reg: 2.94e+01 : 100%|██| 50/50 [01:17<00:00, 1.55s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "d4612e9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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AaHoOFKZMGXtu7r3Xrt9/vz13jF8C4cVhAiCMsrOlYcPyPzifecY6DIbjg3rjRus0mJBgbYMvvDD09yFJu3ZJ1atb98CNG6VLLgn9fXie9Oyz0v/8j10fMkQaNy6050AAyMfIABAmGRl2DPzNN62v/4QJ9i03XP34gyf1dewYviAgSVWrSh06nHyfoRYISI89Jv3tb/bcTZwo9expix0BCD3CABAG+/dL7drZeQHlykmzZ0u33hq++8vLy18EKJS9BQoTvI9Jk8K7vsDQoXaSZdmy1qSoXTtbDhlAaHGYAAixbdtsfv+GDda578MPbbGgcFq82Lr4Vahg7YfLlQvv/R09arMWfvzR7rt16/De34oVUrduNluibl3rc3DRReG9T8AljAwAIbR2rTXO2bDBjqsvWxb+ICDlD9f37Rv+ICBJ5cvbfRW873Bq1syey2rVpPXr7Tlduzb89wu4gpEBIESWLLG1AA4flurXlz76yD68wi0jw76lp6dbDS1bhv8+Jbuv1q1tgaE9eywghNuOHTbq8u9/S2efLX3wQeQeLxDPGBkAQmDWLDtx7/BhqUULaenSyAQByc5HSE+3lr4tWkTmPiW7r1q17FDB7NmRuc9q1ey5bd7cnusOHSJ330A8IwwApfTqq1Lv3taI54YbpAULQtuZ70yCw/Th6i1QmIQEafDgk2uIhEqVpI8/tlGYrCypVy/ptdcid/9APOIwAVBCnic99ZT05JN2fdgwaexYKSkpcjXs3Gkn0uXlSd99J/3yl5G7b8nus3ZtCwb/+Y9NO4yUnBzp7rul8ePt+siR0uOPRzYQAfGCkQGgBHJz7YMoGARGjLBvp5EMApItJ5yXZ0P2kQ4CkjUcat7capgyJbL3nZRkjYgef9yuP/GEdM89tm0AFA9hACimzEypTx/78A8EbDRg5MjIfyP1vJPbD/ulYHviSI8zBgI2OvPKK3b51VdtlkNmZmTrAGIdhwmAYjh0yI5VL10qpaRIb79tx6z98MUXUuPG1s9/7147u94Phw7ZbIasLKvpyiv9qePdd23Z5uPHpVatpPfek845x59agFjDyABQRDt32jS2pUutuc+CBf4FASl/VKBHD/+CgGQfuDfcYJfDsXhRUfXubc2IKlSwaY+tWtk6CgDOjDAAFMH69db4Zt066/sfnGPvl+PHbXU/KTLth88kWMPbb9viTH659lrbNlWqWFOipk1t2wE4PcIAcAYrV9pJctu326qAK1ZIDRr4W9O8ebb+QZUq+YsG+aljR+mCC6ymefP8raVBA9tGtWvbNmvRQlq1yt+agGhHGABOY+5cqW1b6cAB6aqrrCVuzZp+V5U/r3/gwMjPYDiVpCSrRYpsz4HC1KolLV8uNWliCxu1bet/SAGiGScQAoWYOFG6/Xabqta5s52glprqd1X24XbhhTYcv2aN9F//5XdFZs0aqWFDO7Fy925rDuS39PT8cwkSE21J5Gg4rAJEG0YGgJ/wPGn0aFtyODfXps69/350BAFJ+vvfLQg0bBg9QUCy4fkGDex8hr//3e9qTFqarV8weLBtyyFDpOeei/wUSCDaEQaAAvLypOHDpUceseu//a2NECQn+1rWSaKht0BhCvYciBbJybYNH37Yrv/ud9KDD9q2BmA4TAD8f1lZ9s1x2jS7/uKLFgyiyfr10mWX2ZD3zp120l402bPHFhPKzbVaL73U74pO9uKL0kMP2eX+/S0kpKT4WhIQFRgZACQdOSJdd50FgeRka60bbUFAyj85r3Pn6AsCks1u6NTJLkfDiYQ/9eCD0uTJdsLj1Km2zX/80e+qAP8RBuC8vXttfvqiRXZewIcfSgMG+F3Vz+XlSZMm2eVoPgkuWNukSdE5FD9woDRnjm3rhQtt2+/d63dVgL84TACnbdpk32Q3bZIqV7aphI0b+13VqS1aJLVvbx3/du+Wypb1u6JTy8y0EYLDh63mtm39rujUPv/cRga+/94WeZo/35/FnoBowMgAnLV6tXUV3LQpf156tAYBKX/Y/aabojcISFbbTTfZ5Wg8VBDUpIlt81q17DXQrJm9JgAXMTIAJy1cKPXsafPQGza0hjRVqvhdVeHS062+jAz7AGvWzO+KTm/5cuv8l5pqJxWmpfldUeH27JG6dJG++srqnD1batfO76qAyGJkAM6ZNk3q2tU+YNu2lf7xj+gOApI0c6YFgUsusX770a5ZMxtyz8iQZs3yu5rTq1LFXgNt2throkuX/BklgCsIA3DKmDE2pSw729a9nzvXVrmLdgV7CwQC/tZSFIFAdPYcKEyFCjY61KePvTb695deftnvqoDI4TABnOB50qOPWmdBSbrvPumll6SEGIjD27fbegieJ23ZEh1rIxTFli3SxRdbMNi2Tape3e+Kziw3V3rgAekvf7HrjzwiPfNMbAQwoDRiYFcIlE52trUWDgaBZ56xEYJYCAKSzYv3PFsyOVaCgGQn5rVqZbVPnux3NUWTmGgjAk8/bddHjZKGDvV3WWYgEmJkdwiUTEaG1KOHDVUnJkoTJtgIQax80/O8/DPyo7m3QGGCNb/1VuysBxAISI89ZosaJSZal8KePaWjR/2uDAgfDhMgbu3fL3XrZmvZlysnvfOOXY8lq1ZJ11xj9e/ZExvnNxR05Ih1SszMtMdy1VV+V1Q8H3xg55ZkZtp2+PBD6dxz/a4KCD1GBhCXtm2zqW2rVtlSuosWxV4QkPJHBXr2jL0gIFnNPXva5WjuOVCY66+3107FitLKlfaa2r7d76qA0GNkAHFn7Vrr3b9rl520Nn++Le4Ta7KypKpVpQMH7DF07Oh3RSUzf75tj0qVrHNiLC4M9O9/W6fKHTtsm3z0kXT55X5XBYQOIwOIK0uWSC1bWhCoX19asSI2g4Bk/fMPHLAPn1hugtO+vXThhfZY5szxu5qSqVdP+uwz+/+uXfYaW7rU76qA0CEMIG7MmmXfng8ftuHcpUttOd1YFRxWHzTITmSLVYmJ9hik2DxUEFStmr2mmje311iHDtatEIgHHCZAXHj1VenXv7ZV8m64wZanLVfO76pK7vvvbUQgJ0dat85GOWLZunU2rJ6cbN+szzvP74pK7tgxqV8/6f33bXrq2LHSnXf6XRVQOowMIKZ5nvTkk9Ldd1sQGDZMevfd2A4CkrXDzcmRGjWK/SAgSb/6lXTllTZfP9Zb/ZYrJ82YId1+u73m7rpLGjkydqZOAqdCGEDMys3N3xFL0ogR0muvSUlJ/tYVCgXbD8eLWGpPfCZJSdK4cdLjj9v1YCDNzfW1LKDEOEyAmJSZKQ0YYOcJBALSK6/YzjgefP21fZNOSrIh9cqV/a4oNPbtk37xCxvx+PprOxkvHowdK917r40M3HijNGVKdC8xDZwKIwOIOYcO2YmCs2bZNLXp0+MnCEj5J9l17Ro/QUCSzj/fVgSUYvtEwp+65x5raJWSYqtLdupkr1EglhAGEFN27syf1lWhgrRggdSrl99VhU5ubn4f/1hsP3wmwcc0eXJ8Dan37m39FCpUsOmtrVrZqA4QKzhMgJixfr1969q+3eatz5snNWjgd1WhtWCBPcaKFa1BT5kyflcUWllZtu0OHrTH2qGD3xWF1po11mBpzx7poossINSt63dVwJkxMoCYsHKlze/evl2qU8eaCcVbEJDyh8/794+/ICDZY+rXzy7H06GCoAYN7LVZu7a9VoMtsYFox8gAot6cOVKfPja/+6qrbLGYeDqWHnTkiFSlij3OlSulq6/2u6LwWLlSatpUKl/evkGfdZbfFYXe999L110nff65Pc7p0+0cECBaMTKAqDZxojUROnbMhl8/+SQ+g4Bkc9ePHZMuvTT2VvcrjquvttGdo0ftMcejypXttdqpkz3O7t3jY0ol4hdhAFHJ86TRo6Vbb7UTzW6+2Tq+pab6XVn4FOwtEAj4W0s4BQLx1XOgMGlptgTy4MH2Gh4yRHruOZoTITpxmABRJy9PevBBacwYu/7b30qjRsX3B+TWrVKtWvYYt261k8/i2fbtUo0adnnr1vzL8SgvT3rkEen55+36Aw9IL7xgrYyBaMHLEVElK0saODA/CLz4oo0QxHMQkKRJk+z/bdrEfxCQ7DG2aWOXg489XiUk2IjACy/Y9ZdesoWbjh/3tSzgJIQBRI0jR+ykq2nTbEGbKVOk4cP9rir8PC//zPp47C1QmOBjfestN4bOH3zQ+iskJdlCWtddJ/34o99VAYbDBIgKe/dad7ovv7TzAmbOtC6DLlixwqZNpqba2fVpaX5XFBk//mizJ44eteegaVO/K4qMBQusbXFGhi3eNHeudMEFflcF1zEyAN99953UrJkFgcqVpcWL3QkCUv6oQK9e7gQByaYUBrtHxmPPgcJ07Ch9+qm91levtiC4aZPfVcF1jAzAV6tX24jAvn12At38+dawxRWZmdaR79AhaeFCqV07vyuKrIULrQvhOedYx0WXFvjZuNGmHm7ZYus2zJtnIwWAHxgZgG8WLpRat7Yg0LBhfuc2l3zwgQWBatWka6/1u5rIa9PGVjI8dMiaSbmkdm17zTdsaO+B1q2lRYv8rgquIgzAF9OmWUe29HSpbVvpH/+w48euCc6zHzxYSkz0txY/JCbaY5fiu+dAYapUsdd+mzb2XujSxd4bQKRxmAARN2aMzbWWpL597XhxPPbhP5O9e+1bcW6u9M037i5o8803Ur16Fgx27bIhc9dkZVkomj7dro8ZI/33f/tbE9zCyAAixvOs+UowCNx3n02xcjEISPbYc3Ot9bCrQUCSLrtMatLEnoupU/2uxh9lythjv/deu37//dKjj7ox5RLRgTCAiMjOttbCo0fb9WeesW8/LndhK9h+2HUutCc+k8RE6eWXpaeftuujRklDh9p7Bwg3DhMg7DIy7HDA3Lm2w3v9dQsGLvvXv2y52+RkO4v+3HP9rshf+/dLVavaB9+//iVdfrnfFflrwgTpjjtstKRrV+mdd+J7XQ74z+HvZYiE/fttutzcuVK5ctLs2QQBKX9efbduBAFJOu8868gnudVzoDBDh0qzZtlUy7lz7T30ww9+V4V4RhhA2GzbJrVoIa1aJVWqZNOmunXzuyr/5eRYq2XJrfbDZxJ8LiZPtufIdddfb++ZihXtPdSihS3wBIQDYQBhsXatdRXcsEGqXl1atsyddrNn8vHH1nb43HNtKhlM1672nOzZYz0oYO+hZcusD8X69fYeWrvW76oQjwgDCLklS6SWLW2aWP361ljlssv8rip6BIfBBwyQUlL8rSWapKRI/fvbZQ4V5KtXT/rsM/v/rl323lq61O+qEG84gRAhNWuW7dCzsmxY8/33bZgT5vBhazSTmSl9/rnUuLHfFUWXzz+3qZZly9oIwdln+11R9DhwQOreXVq+3KYiTpsm9ejhd1WIF4wMIGRefVXq3duCwA032OpsBIGTTZ9uQaBePalRI7+riT6NG9soUmam9O67flcTXSpVskNM3bvbe6xXL+m11/yuCvGCMIBS8zzpySelu++W8vKkYcNsR16unN+VRZ+CvQUCAX9riUaBAD0HTqdcOWnGDOn22+29dtdd0siRNCdC6XGYAKWSmyvdc480bpxdHzHCggEfdD+3aZN0ySX23PznP9aKGD+3Y4d00UX2Abdpk3TxxX5XFH08T3riCekPf7Drd94pvfKKm+tbIDQYGUCJZWZKffpYEAgEpLFj7VsKQeDUJk2y/7dvTxA4nWrV8pdyDj5nOFkgID31lAWAQMAOF/Tta+9JoCQIAyiRQ4ekjh3thMGUFDsWfvfdflcVvTwv/wx5egucWfA5eusthsBP5557rDthSoo0c6bUqZO9N4Hi4jABim3nTqlzZ2ndOqlCBZsx0Lq131VFt6VLpVatpLQ0O0ue1rKnl5Fhsy7S0+25a9HC74qi2+LFdtLukSPWyvmjj6y9M1BUjAygWNavt0Yo69ZJF15oPQUIAmcWHBXo04cgUBSpqTYzRaLnQFFce629F6tUsaZETZvaexUoKkYGUGQrV1r/+AMHpDp1pPnzpZo1/a4q+h07ZjvpI0ekTz+1HTfO7NNPpbZtbfRpzx5mpxTFli12qGDjRuvmOGeOdPXVfleFWMDIAIpkzhzbMR84YE1hli0jCBTVe+9ZEKhRww4VoGhat7ZZBUeO2KEonFmtWtaUqEkTW9iobVtb6Ag4E8IAzmjiRDseeeyYnSvwySdS5cp+VxU7gvPlBw+WEnjHFVlCgj1nEj0HiqNyZXuPduokHT1qTYp4/nAmHCZAoTxPGj1aevRRuz54sPS3v0nJyf7WFUt277apcnl5tmhTnTp+VxRbNmyQ6ta1YLBzpx1uQdFkZ9tSyJMn2/VRo6Tf/papvzg1vqfglPLypAceyA8CDz9sIwQEgeKZMsWey6ZNCQIlceml0jXX2HMYXPYZRZOcbCMCv/mNXX/kEWn4cHsugZ8iDOBnsrKkgQOll1+26y++KD33HEPcxeV5J7cfRskEnztmFRRfQoL0/PPSCy/Y9TFjpEGDpOPH/a0L0YfDBDjJkSPSjTdKixbZN4uJE22pXRTfl19KV15pDWH27GHRppI6cMCmsR4/bs9pw4Z+VxSbpkyRhgyRcnKsC+bMmdJZZ/ldFaIF3/Vwwt69Nu1t0SKb5/3hhwSB0gh+k+3enSBQGpUqSddfb5cZHSi5gQNtVlBqqrRwob3X9+71uypEC8IAJEnffWfNhL780s5GXrzY2g2jZLKz849x03649ILP4ZQp9tyiZDp2tP4NlStLq1dLzZvbYlAAYQAndgqbN+fPU27c2O+qYtv8+dL339tOt1Mnv6uJfZ0723O5b5+0YIHf1cS2Jk3sPV6rlgWBZs1sHwC3EQYct3ChNXfZt8+Oxa5YIdWu7XdVsS84nD1wIDMwQiE5Of+QFYcKSq92bXuvN2hg7/3WrW1fAHdxAqHDpk2zM7Wzs61T2axZ1voVpXPwoM2HP37cvnFdcYXfFcWH1aulRo2kMmWsfwPnYZTe4cNSz5526CA52YJWv35+VwU/MDLgqDFjpP79LQj07WstSwkCofHOOxYELr+cM99D6YorpF/9yqa+Tp/udzXx4eyzpXnzbAGt7GzbJwSnFMMthAHHeJ41H3ngAbt+333S1Kn2bQuhUbC3AN3eQicQyO85QHvd0ClTxvYB995r1++/35qNMWbsFg4TOCQ7Wxo2LH9H+swzFgz4wAqdjRut02BCgrRjh82PR+js2iVVr25d9DZulC65xO+K4ofnSc8+K/3P/9j1IUOkceM458UVjAw4IiND6tHDgkBiojRhgqV/gkBoBU9u69iRIBAOVatKHTrYZU4kDK1AQHrsMVt/JDHRGo716GH7DsQ/woAD9u+X2rWz8wLKlZNmz5ZuvdXvquJPXp40aZJdprdA+ASf20mT6LMfDkOH2snEZcvaPqNdO1sOGfGNwwRxbts2m+e+YYOdfT1nji2ag9BbvFhq08ZOxNyzx4IXQu/oUZut8eOP9py3bu13RfFpxQqpWzebHXPppdY7o0YNv6tCuDAyEMfWrrWGIhs22HHW5csJAuEUHLbu25cgEE7ly9tzLHGoIJyaNZOWLbMluDdssOtr1/pdFcKFkYE4tWSJ9cQ/fFiqX1/66CN7UyM8MjLs22p6uj33LVv6XVF8W7LERgTOOstGYcqX97ui+LVjh40u/vvfNhXxgw94fccjRgbi0KxZdgLb4cNSixbS0qUEgXCbPduCQK1a9pwjvFq0sOf6xx/tuUf4VKtm+5DmzW2f0qEDz3k8IgzEmVdflXr3tsYsN9xgfdzp1BZ+9BaIrIQEafBgu0zPgfCrVEn6+GMbbczKknr1kl57ze+qEEocJogTnieNHGn/SdZPYOxYKSnJ37pcsHOnnZPhebbwy8UX+12RGzZtsj4DCQnS9u3SL37hd0XxLydHuvtuafx4u/7kk9KIEQTgeMDIQBzIzZXuuis/CIwYYamdIBAZkydbEGjRgiAQSb/8pQ1d5+XlLxeN8EpKskZEjz9u15980sJBbq6vZSEECAMx7tgxOywwbpyl87FjLRSQ1CPD8/LPaA+2ykXkFGxPzBhnZAQC0lNPSa+8Ypdfe83WNsjM9LsylAaHCWLYoUN2DG/pUiklRXr7bTuWh8j55z9tffgyZaS9e+1sa0TOoUM2iyMry7ZFo0Z+V+SWd9+1ZbqPH7cZBu+/L51zjt9VoSQYGYhRO3fam2/pUmtys2ABQcAPwVGBHj0IAn445xw7UVai54Afeve2ZkQVKti+qFUrWz8CsYcwEIPWr7cGIOvWWf/74JxrRNbx4zYaI9F+2E/B5/7tt22bILKuvdb2QVWqWFOipk1tH4XYQhiIMStX2klT27fb6ngrVkgNGvhdlZvmzbOe7VWq5C+eg8jr2FG64AJbg+Ojj/yuxk0NGti+qHZt2ze1aCGtWuV3VSgOwkAMmTNHattWOnBAuuoqaxVas6bfVbkrOL994EBmbvgpKcm2gUTPAT/VqmUtz5s0sZDctq0tdITYwAmEMWLiROn2220KT+fOduJOaqrfVbnrhx/sEE12trRmjfRf/+V3RW5bs0Zq2FBKTrb2xJUq+V2Ru9LT888lSEy0JZE5jBb9GBmIcp4njRplSw7n5lrXtfffJwj4bdo0CwINGxIEokGDBvZfdrZtG/gnLc3WLxg0yPZZQ4ZIo0cz9TPaEQaiWF6e9MAD0qOP2vWHH7YRguRkP6uCRG+BaBTcFswq8F9ysh2y+c1v7Pojj0jDh9s+DdGJwwRRKivLhtb+/ne7/uKL9maC/9avly67zIZAd+60k9fgvz17bFGd3FzbRpde6ndFkGzf9dBDdrlfP/tCU6aMryXhFBgZiEJHjkjXXWdBIDnZWq0SBKJH8Jtn584EgWhSpYottSsxOhBNHnzQWnYnJdkhnG7dbLVJRBfCQJTZu9fm7S5aZOcFfPihNGCA31UhKC9PmjTJLnNSVPQJbpNJkxiSjiYDB9psqNRUaeFC28ft3et3VSiIwwRR5Lvv7JvN5s1S5co2LadxY7+rQkGLFknt21vnu927pbJl/a4IBWVm2gjB4cO2rdq29bsiFPT55zbq+f33ttDU/Pn2f/iPkYEosXq1NRPavDl/vi5BIPoEh59vuokgEI3KlrVtI3GoIBo1aWL7tlq1bAnqZs1s3wf/MTIQBRYulHr2tPm5DRtaZ7sqVfyuCj+Vnm7bJSPDdmjNmvldEU5l+XLrgJeaaicVpqX5XRF+as8eO+dmzRrbPrNm2Ygb/MPIgM+mTZO6drUPmrZtpX/8gyAQrWbOtCBwySXWfx3RqVkzG3rOyLAPGUSfKlVsX9emje37unalP4TfCAM+euklqX9/a5TSt6+dI1Chgt9VoTDBVrc332zruCM6BQL5PQdoTxy9zj7bRkH79LF9YP/+0pgxflflLg4T+MDzrJHQ6NF2/b77LBgkEM2i1vbttg6E50lbtrAmRLTbskW6+GILBtu2SdWr+10RCpOba83V/vIXu/7II9IzzxC4I42PnwjLzrbWwsEg8MwzloYJAtFt8mQLAq1bEwRiQa1aUqtWts0mT/a7GpxOYqL08svS00/b9VGjpKFDbV+JyOEjKIIyMqQePWzoMjFRmjDBRghIwNHN8/LPTKe3QOwIbqu33qIvfrQLBKTHHrNFjRITrUthjx62z0RkcJggQvbvt85bq1ZJ5cpJ77xj1xH9Vq2SrrnGttuePZzXESuOHLET1Y4ds2141VV+V4Si+OADO4cqM1O6+mprVnTuuX5XFf8YGYiAbdtsqtOqVVLFitYMhSAQO4KjAjfeSBCIJRUq2JRdiZ4DseT6620fWbGi7TObN7d9KMKLkYEwW7vW5tPu2mUnMc2fb4vcIDZkZUkXXigdPGjbrmNHvytCccyfb++/SpXsPcgCObHj3/+2jqw7dkhVq0offSRdfrnfVcUvRgbCaMkSqWVL2wnVry+tWEEQiDVz5lgQqFpVatfO72pQXO3bW5g7cMCm7iJ21KsnffaZ/X/XLtuXLlnid1XxizAQJjNn2rfIw4ftEMHSpba8KmJLcJ76oEF2YhNiS2KibTuJngOxqFo123c2b2770o4daSQVLhwmCINXX5V+/WtbNe2GG6SpU+3kM8SW77+3EYGcHGndOhvdQexZt86Gl5OSbHGp887zuyIU17FjUr9+0vvv2zTssWOlO+/0u6r4wshACHme9OST0t13WxAYNkx6912CQKyaOtWCQKNGBIFY9qtfSVdeadty6lS/q0FJlCsnzZgh3X677VvvuksaOZIpo6FEGAiR3Nz8F6gkjRghvfaafRtBbAqegR5sbYvYFdyGzCqIXUlJ0rhx0uOP2/XgF6/cXF/LihscJgiBY8ekAQOk2bOtecYrr9iLFLHr66/tG2VSkp28VLmy3xWhNPbtk37xCxsd+PprOykNsWvsWOnee21koGdP6e23WVK8tBgZKKVDh2z6y+zZUkqKNH06QSAeBL9Bdu1KEIgH558vdelilxkdiH333GON21JS7ITCjh1tX4ySIwyUws6dNt1l6VJrcLJggdSrl99VobRyc/P72dN+OH4Et+WkSQwtx4Peva2PRIUKtg9u1cr2ySgZDhOU0Pr1NiKwfbvNY543T2rQwO+qEAoLFti2rVjRzj6nUU18KNhAasECqUMHvytCKKxZY42l9uyRLrrIAkLdun5XFXsYGSiBlStt3uv27VKdOtZMiCAQP4LDyP37EwTiSZkyNj1N4lBBPGnQwPbBtWvbPjnY+h3Fw8hAMc2ZI/XpYycNXnWV9OGHHFOOJwUXt1m50hZKQfxYuVJq2lQqX96+SZ51lt8VIVS+/1667jrp889t+06fbuf8oGgYGSiGiROtidCxYzYs9cknBIF4M2OGbd9LL2WVu3h09dU2mnf0qG1rxI/KlW2f3KmTbd/u3ek6WRyEgSLwPGnUKOnWW+3Eo8GDrRNWaqrflSHUgjuPm2+2aaKIL4FAfs8BPijiT1qaLYE8aJDtq4cMkUaPpjlRUXCY4Azy8qThw6WXX7brDz9swSCBGBV3tm6VatWyD4ytW+1kJMSf7dulGjXs8tat+ZcRP/LypN/9TvrTn+z6/fdLL77Ifvt0eGoK4XmeDhzIUN++GXr5ZctLL74oPfccL6h45Hme/va3DEkZuvZajyAQxy66SLr2Wk9Shv72twzxfSj+JCRIzz8vvfCCXR8zxtNNN2XowAG2d2EYGSjE7t0Zqlo1TZKUlJSuN99M1YABPheFsElPz9BZZ9n2HjcuXcOGcQwono0bl6E777Tt/eOP6UpLY3vHqylTpFtuyVBurm3v3bvTVaUK2/un+I5biO3b8y/PmCGCQJxbty7/cvfu/tWByCi4jb/+2r86EH4DB9qS8kHbtvlXSzRjZKAQGRkZSkuzJJmenq5UzhaMa2xvt7C93cL2PjNGBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcFzA8zzP7yKiked5Onr0qCSpfPnyCgQCPleEcGJ7u4Xt7Ra295kRBgAAcByHCQAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHORcGMjIydMEFFygQCOjiiy9Wdnb2KX8vMzNTLVq0UCAQUJkyZbR48eLIFoqQYHu7he3tFrZ3CHkOeumllzxJniRv3LhxP/v3vLw8r3fv3p4kLxAIeFOnTvWhSoQK29stbG+3sL1Dw8kwkJmZ6V100UWeJK9GjRpeVlbWSf8+fPjwEy+uP/3pTz5ViVBhe7uF7e0WtndoOBkGPM/zxo8ff+IF8te//vXEzwumzAceeMDHChFKbG+3sL3dwvYuPWfDQE5OjlenTh1Pkle9enUvKyvLmzFjhpeQkOBJ8vr06ePl5ub6XSZChO3tFra3W9jepedsGPA8z5s2bdqJ1Hjbbbd5ZcuW9SR5rVq18jIzM/0uDyHG9nYL29stbO/ScToM5OXleQ0bNjzxApLk1a9f3zt48OBp/27SpEneHXfc4TVq1MhLSUnxJHlvvPFGRGpGyZVke+/YscP73//9X69Dhw5e9erVveTkZO+CCy7wbrzxRm/lypWRKx7FVpLtffDgQe++++7zrrnmGu+CCy7wUlJSvKpVq3pt2rTx3n33XS8vLy9yDwDFUtL9+U+NHj36xN9/9tln4Sk2Cjk3tbCgQCCgYcOGnbh+/vnna968eTrnnHNO+3e///3vNW7cOG3btk0XXnhhmKtEqJRke//5z3/W8OHDtXnzZnXo0EEPPfSQWrRooffee0/NmjXTO++8E4HKURIl2d779+/XhAkTlJqaqh49euihhx5Sly5d9PXXX6t379668847I1A5SqKk+/OCvvnmG40YMUKpqalhqDDK+Z1G/PTtt99655133okUmJqa6u3du/eMf/fxxx97W7du9TzP85599llGBmJESbb3jBkzvCVLlvzs50uWLPGSk5O9SpUqMQQZpUqyvXNycrzs7Oyf/fzIkSNevXr1PEneunXrwlUySqGk+/OgnJwcr0mTJt5VV13lDRo0iJEBV+zbt0+dO3fW/v37de6550qyBhZPP/30Gf+2ffv2qlGjRrhLRAiVdHvfeOONatmy5c9+3rJlS7Vp00YHDhzQ2rVrw1IzSq6k2zsxMVFJSUk/+/lZZ52lTp06SZK+++670BeMUinN/jxo9OjRWrNmjSZMmKDExMRwlRq1nAwDGRkZuu6667R582alpaVpwYIF6tGjhyTptdde0/bt2/0tECEVru2dnJwsSaf88IB/wrG9MzMz9cknnygQCKhevXohrhilEYrtvW7dOo0cOVK///3vVb9+/TBXHKX8HpqItOzsbK9Lly6eJC8pKcmbO3eu53met2bNGi8QCHiSvKFDhxb59jhMEN1Cvb2Dtm3b5pUpU8arUqWKl5OTE+qyUUKh2t4HDx70nnjiCe/xxx/37rzzTq969eqeJO+JJ54I8yNAcYRie2dnZ3uNGjXyGjRo4B0/ftzzPM+75ZZbnDtM4FwYuO22204cU3r99ddP+rdgy8rExERvw4YNRbo9wkB0C/X29jzPO378uNeqVStPkvfWW2+FumSUQqi295YtW046Kz05Odl7/vnnmU0QZUKxvUeOHOklJSV5X3zxxYmfEQbi3BNPPHHihfP444//7N/XrVt3oklF3759i3SbhIHoFY7tnZube+LkomHDhoW6ZJRCOLZ3Tk6Ot2XLFu/ZZ5/1UlJSvJ49e57yBENEXii291dffeUlJyd7jzzyyEk/JwzEsYLtKm+55ZZCf69fv34nFrT48ssvz3i7hIHoFI7tnZeX5w0dOtST5A0aNIiOZlEkXO/vgp577jlPkjd27NjSFYtSC9X2btCggVe3bt2fzQgiDMSpOXPmeElJSZ4kr3379ieOC53KN9984yUmJnqSvK5du57xtgkD0Scc2zs3N9e79dZbPUle//79OU8gioTz/V3QV199VaxRBYRHKLd3wUNBp/tv1qxZYXxE0cGJ06C7du1a6DrXP1W3bl3l5OSEuSKEU6i3d15enm6//Xa98cYbuummmzRp0iQnpx5Fq0i9v3ft2iWJ2SN+C+X2vu2220758yVLlmjjxo3q3r27KleurJo1a5ak1JjCqxo4jby8PN12222aOHGi+vTpo8mTJxME4thXX32lWrVq6eyzzz7p5wcOHNBjjz0mSerSpYsfpSEMxo8ff8qfDxkyRBs3btSjjz6qa665JsJV+YMwUALjx4/XsmXLJOlEw5nx48dr8eLFkqQePXqcmOeK2PbUU09p4sSJSktLU506dfTHP/7xZ7/To0cPNWzYMPLFIeQmTpyo8ePHq02bNqpRo4ZSU1O1bds2zZkzR+np6erVq5cGDBjgd5lAyBEGSmDZsmV68803T/rZ8uXLtXz5cklSzZo1CQNxYuvWrZKk9PT0QruZ1axZkzAQJ3r37q3Dhw9r5cqVWrJkiY4ePapKlSqpRYsWuvnmm9WvXz8FAgG/ywRCLuB5nud3EQAAwD9OtiMGAAD5CAMAADiOMAAAgOMIAwAAOI4wAACA4wgDAAA4jjAAAIDjCAMAADiOMAAAgOMIAwAAOI4wAACA4/4f7kZRh/T3AxQAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "38f93d8e", - "metadata": {}, - "source": [ - "Example 3" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "350537db", - "metadata": {}, - "outputs": [], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=2)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "19a6fa5d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "0a3d84fe", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.14e-03 | test loss: 6.70e-03 | reg: 7.63e+00 : 100%|██| 50/50 [00:20<00:00, 2.46it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "38d1e510", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "e955f277", - "metadata": {}, - "source": [ - "It doesn't always work. One may need to tweek seed (with unlucky random seed, it can get stuck at bad local minima)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "acacd12c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.86e-01 | test loss: 3.13e-01 | reg: 3.46e+01 : 100%|██| 50/50 [00:19<00:00, 2.51it/s]\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=4)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)\n", - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "1333bed5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "05cf43c8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb deleted file mode 100644 index 2428cab8..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb +++ /dev/null @@ -1,351 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 7: Building in structural biases" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, we have shown how to test hypothesis for a trained model. If you are content with the insights (tree structure and symmetry properties), you can simply stop here. However, if you want to leverage these properties and apply these inductive biases to your neural network, this notebook walks you through a few possiblities." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "3b818211", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "4e9926ed", - "metadata": {}, - "source": [ - "Case 1: Separability\n", - "\n", - "* if you have confirmed that $f(x_1,x_2,x_3,x_4)=f_1(x_1)f_2(x_2)f_3(x_3)f_4(x_4)$, you can make the last operation to be multiplication. And you can use model.module to create modules so that variables do not interact." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "cbe4788b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f5aff4ae", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# to specify a module, you need to specify the start layer (0 in this case),\n", - "# you also need to specify which neurons belong to this module\n", - "# the rule might be a bit complicated to explain, but you will observe the pattern with a few examples. \n", - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1]->[1]')\n", - "model.module(0,'[2]->[2]')\n", - "model.module(0,'[3]->[3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4d5137cb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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enADYokULRkREaP8mx35grJKSkhgSEsKgoCC2atWK+fLl057s5cuXjy1btmRQUBDPnDnDpKQkSerM7t+/ySWXqKgoNmjQgDlz5uSaNWuYlJTEuLg49u/fn+3bt+fEiROpUqkYGxvLadOm0dXVlXPnzk3XgSwxMZGnTp3ijBkz2Lx5c+bJk0f7Qy1QoADbtGnD2bNnMywsjO/evdPj1hqn9LaBi4sLy5QpQwBs1aoVIyMj5d6ELGfTpk10c3Njjhw5uH79er5580bv+0FW9+TJE27ZsoVDhw7lt99+S2trawKgpaUlq1atyoEDB3LDhg18+PBhur8XQxyHjJ1JJReNRsORI0fSycmJu3bt0jbU69evmTdvXgJgtWrVmJycTJJUqVScPXs23d3dGRoa+tky79+/z3Xr1rF///6sXLkyLSwsCIA2NjasXr06hw8fzq1bt/LZs2cG21ZjldE2sLCw4JQpU+QMPcuLjIxk69atCYBFixaVdD/IDt69e8ezZ89y7ty5bNu2LQsVKqQ9afTw8GCzZs0YGBjIkydPMiEh4bPl6OM4lBWZVHK5c+cO3dzcOGTIEKpUKu3rn2tU8v1VyI8//shmzZpRpVIxPj6ewcHBnDZtGps0acLcuXNrf2Cenp5s164d58+fz/Pnz+uUI7wnRRsImTNv3jwqFArRBhJ4/vw5t2/fzhEjRrBmzZq0tbUlAJqbm7NSpUrs27cv165dy/DwcG0SEfvAe/IvviGh3bt3Q6VSoVu3blAqleAXBsKl/s3Kygq9evVCy5YtUbZsWdy6dUv70FblypUREBCgfWhLroWvspLMtEGnTp3w6NEjo54mPytISUmBk5OTaAMJ5M6dG40bN9Y+uPrhAmshISHYv38/5s+fD+D9Amu+vr5QqVRiHwBgMsmFJEJCQuDl5QW1Wo1hw4ZBo9EAAJKSkhAdHQ3g/SJNw4YN006Ulzt3brRr1w6Ojo7IlSsX+vbtq51uwhgWvspKMtsGFhYWuHHjhknsWHIRbaBf5ubmKF++PMqXL4/evXsDAF6+fKmdjikkJAQnT55EhQoVxPcv0xWT5FQqFWvUqMEmTZrwyJEjNDMz03ZnfelfyZIl+fr1a5YqVYpLly6VezOyNNEG8hNtIC+VSsXq1auL758m1C2mUChgYWGBd+/eQaFQwNLSEmq1GsD7s7mUlBSd96VKfV9KSoqYOiKTRBvIT7SBvFK/c/H9m1C3mFKphKenJ06cOAFvb2+cPHlS258ZGxuLtm3bIjIyEmXLlsXixYu1M6za2NggOjoar1+/RuHCheXchCwvJSUFSqUS4eHhog1kIvYDeYnv/39MJrkAQL169fDnn3/i77//Rp06dbTTKrx580Y75YO9vT0qVKigPTsgiQULFsDJyQklS5aULfasiiTCwsKwevVqbNiwAVFRUbC0tBRtIKPM7AdxcXE4f/48SpUqBRcXF9m2ISsTx6H3TGr5t7p166JIkSKYPn064uLivvp+knj69CnmzZuHn3/+2aTWytC3hw8fYvLkyShWrBh8fX2xc+dO9OjRAyEhIfD29hZtIKPM7Ad58uTB0KFD4eHhgVatWmH37t3arhwhbXx8fGBra4upU6dm733A4Hd59Oyvv/6ihYUFBwwYwPj4eGo0mk+OL9doNHz58iV//PFHAmBAQADfvn0rd/hGLTY2litWrGCtWrUIgLa2tvzll1946NAhnbH527Zto729fZrboHHjxixXrpzO1CVC5mSmDZ49e8YZM2awdOnSBMCcOXNy4MCBvHjxokk9Qa4PR44cYaFChWhpaUlra+s0f/8//fSTye0DJpVcNBoN+/fvr316vkWLFrx69Srfvn3LhQsXcvr06Vy7di0TEhIYHBzMatWq0cvLi0OHDqWtrS0LFizII0eOyL0ZRkWlUvHAgQNs164dbWxsqFAoWLt2ba5ateqzyVilUnHGjBm0t7dPcxtcuHDBwFtm2qRoA41Gw0uXLnHQoEHMmTMnAbBUqVIMDAzk06dPZdoy4xQbG8tevXoRAGvUqMFbt26l+fv38/OjmZkZt23bJvdmSMqkptwPDAzEiBEjsGDBAri6umLcuHF49eoVfH19UaFCBTg7OyMiIgJhYWG4evUqqlWrhhkzZsDb2xv37t1Dly5dEBwcjJ49eyIwMBAODg5yb5Jsbty4gVWrVmHt2rV49uwZvL290bFjR7Rr1w758+f/6ufVajU2b96MAQMGICkpCdWqVftqGwjSSm2D9OwHn6NSqXDw4EGsXr0a27dvR0pKCurVq4cOHTqgSZMm2W6toQ8dPnwYXbt2xatXrzB9+nT06tULSqUyzd9/lSpVtKvLnjlzxnTWoJE7u0ll5cqVBMDx48drX3vx4gWXLFnCxo0bs1SpUixatCirVKnCHj168ODBgx/NfqpWq7lgwQLa2dkxf/78PHjwoIG3Ql4RERGcPXs2K1SoQAB0dXVlnz59ePbs2Qx3h9SpU4dFixZNcxsI0vv3fpDaNdOsWbMMtUFUVBR///13VqtWjQDo4ODAgIAAHj9+nGq1Wk9bYXxiYmLYrVs3AuB3333H8PDwT74vLcehhw8fMk+ePCxbtiyjo6MNvCX6YRLJZffu3TQzM2P37t0/eRBUq9VMTExkXFxcmmYpDg8PZ+3atQmA3bp1M5nG/pTExERu3ryZ/v7+NDMzo4WFBZs2bcpt27ZlekbnuLg4WllZcebMmeluA0F6qW0QFRVFJycnjhs3LtNl3r17l+PHj9dO8ligQAGOHTuWt2/fliBi47V//37my5eP9vb2XLRoUZqS6tf2gevXr9PZ2Zm1atUyiTWesnxyOXPmDG1sbNi0aVNJJ3zTaDRcvHgx7e3tmTdvXu7bt0+ysuWm0Wh4+vRp9ujRg87OzgTAKlWqcP78+Xz16pVk9Wzbto0AeOfOHcnKFKTRtm1blitXTrLyNBoNT548yW7dutHR0ZEA6OPjw4ULF/L169eS1SO3qKgodu7cmQBYt25dPnjwQNLyT548SWtra7Zo0SLLT2CZpZPLjRs36OLiwho1augt0z948ID16tXTjiiLiorSSz2GEB4ezokTJ7JIkSLaRZJGjx7Nmzdv6qW+zp0709vbWy9lC5mzbt06AuCjR48kLzshIYEbNmxgw4YNaWZmRktLSzZv3pw7duzI0jOJ79mzh3ny5KGDgwOXLl2qt5FzO3bsoFKpZO/evbP06Lwsm1wePXrEvHnzsnTp0no/4Gs0Gi5dupSOjo785ptvuHv3br3WJ6WYmBguW7aMNWrUIADa2dmxY8eOPHLkiF77x9VqNXPmzMmhQ4fqrQ4h4968eUMzMzMuXLhQr/U8f/6cQUFBLFeuHAHQzc2N/fv35/nz57PMgfPNmzfs2LEjAbB+/fp8+PCh3utctmwZAXDixIl6r0tfsmRyef36NUuUKMECBQoYdEjko0eP2KBBAwJghw4d+ObNG4PVnR4pKSnct28f27ZtS2trayoUCtarV49//vkn4+LiDBJDSEgIAfDEiRMGqU9Iv++++44NGjQwWH1XrlzhkCFDtGsklShRgtOmTdP7OvaZsXPnTnp4eNDJyYkrVqwwaEKcPHkyAXDJkiUGq1NKWS65xMfH08/Pj25ubrLcNNRoNFy5ciWdnJyYO3du7tixw+AxfM7Vq1d1dt7ixYtz2rRpfPz4scFjGT16NF1dXU1uXXBTEhQUREtLS4M/PJx68tOmTRvZTn6+5tWrV2zXrh0BsGHDhrLsQxqNhv369aNSqeTWrVsNXn9mZankkpKSQn9/f9rZ2TEsLEzWWJ48ecJGjRoRANu1ayfpjfD0ePHixUfdDv369ZO926F06dJs3769bPULX/fPP/8QgKwHrujo6E922x49elS2Yc3btm1jrly56OzszFWrVsm6H6nVarZq1YpWVlYMDg6WLY6MyDLJRaPRsHPnzjQ3N+f+/fvlDofk+5hWr15NZ2dn5sqVi3/99ZdB6k1MTOTGjRvZqFGjj26YGsMw3/v37xMAN23aJHcowlcUL16cAQEBcodB8v2Ak19//ZWenp46A05u3bplkPpfvnzJNm3aEAB//PFHo5mFICkpiXXq1KGTkxOvXr0qdzhplmWSy+jRowmAa9askTuUjzx79ow//fQTAbB169aMjIyUvI4Ph3o6OTkZ9VDPuXPn0sLCgjExMXKHInzF8OHD6e7ublTDXg01VP5Dmzdvpru7O11dXblmzRqjG2wQExPDChUq0MPDg/fv35c7nDTJEsllzpw5BMCgoCC5Q/ksjUbDtWvX0tXVle7u7pKdtd+7d48TJkxg4cKFCYD58+c3+ofU6tWrx7p168odhpAGJ0+eJACeOXNG7lA+KTExkZs2bdLLQ77k+1kpWrZsSQBs0qQJnz9/LkHU+vHixQt6enrSy8uLL1++lDucrzL65LJ+/XoqFAoOHz5c7lDS5Pnz52zWrBkBsEWLFhma5TQ6Olpneg17e3sGBATw2LFjRj+9RkxMDC0sLDh37ly5QxHSQKVSMUeOHBw1apTcoXxV6vRE5cuXJwDmyJGDffv2zdD0RBqNhhs2bKCbmxtz5MjB9evXG93VyqfcvXuXuXLlYpUqVYx+FnejTi6HDh2ihYUFO3TokCUaPpVGo+HGjRvT9cNNSUnhnj172Lp1a1pZWVGpVPL777/n2rVrGR8fb6DIM2/Tpk0EkGUu3QWyQ4cOLFmypNxhpMvVq1c5bNgwenh4EACLFSvGKVOmpOmh0BcvXmT6BFBOFy9epIODA+vXr2/UD6UabXI5f/487e3t+cMPPxj1F/glH15yN23a9JOX3JcvX+agQYOYK1cuAmDJkiUZGBho1GP/v+SXX35hqVKl5A5DSIfNmzcTwGcnXjRm6VkSQl9d13I4cuQILS0t2b59e6PtzTDK5HLnzh26u7uzatWqRjPuPTP+fbPw6dOnnDFjBsuUKUMAdHd354ABA7L8YkwpKSlZpotF+J/Ursw5c+bIHUqmxMTEfHYxu8ePH2sH3bRp00Yvg24MbePGjVQoFBwyZIjcoXyS0SWX58+fs1ChQixWrJhsz47ow6NHj+jr60sABEALCwu2bNmSu3btyrJXZv924sQJAmBISIjcoQjp9P3337NOnTpyhyGZ+/fvc9KkSSxatCgBUKFQ0NbWNssn0H+bN28eAfC///2v3KF8xKiSS3R0NMuWLcs8efIYZP4efVOr1QwODmaXLl20M8V6e3vT0dGRTk5O/OOPP7L0lcq/DRs2jDlz5jTay3Th8+bNm0dzc3OTWl7iyZMnbNiwIQGwaNGi2mHNlSpV4rx587LEiKu0GDt2LAFw1apVcoeiw2iSS2JiImvVqkVnZ2deu3ZN7nAy5Z9//uG4ceO0a1wULFiQ48aN0049/+rVK7Zv3147tURWvb/yb8WKFTOaB/KE9Hnw4AEBcOPGjXKHkmkajYYrVqz4aIqmpKQkbtmyhT/99BPNzc1pbm7Oxo0b86+//srSi9ZpNBp27dqVZmZm3LNnj9zhaBlFclGpVGzRogWtra158uRJucPJkDdv3nDx4sX08/PTrs7XpUsXBgcHf/ZM/sNJ8ZYvX56lr2Lu3LlDACa3Dnh2UqZMmSw/Zc+/J5f93APGkZGRnDt3LitVqqRddbV3794MDQ3NkvthSkoKGzduTFtbW4aGhsodDkkjSC4ajYZ9+vShUqk0qkkg0yI5OZm7du1iy5YttcOHGzRowPXr16d5+PC/p/PWx/oahjBz5kxaWVmZxACM7GrMmDF0cXHJkpONpi6L4eDgkO5lMa5fv84RI0YwT548BEAvLy/+9ttvki8Epm8JCQmsVq0ac+TIobc1mtJD9uQyadIkAuCyZcvkDiVNNBoNL168yAEDBtDd3Z0AWLp0ac6YMYPPnj3LcLkfLkT0+++/Z7mzp1q1avGHH36QOwwhE0JDQwkgy02Q+OGCfp07d87w+k4qlYqHDh1i+/btaWtrSwD87rvvuHLlSsbGxkobtJ68efOGpUqVYv78+WXvbpc1ufz+++8EwMmTJ8sZRpo8ffqUgYGBLFWqFAEwZ86cHDRoEC9fvixZHfpeQlVfUheeWrRokdyhCJmgVquZK1euLLPAmz6XIo+NjeUff/zB2rVrU6FQ0MbGhu3ateOBAweMah62T3ny5Anz58/PUqVKybrmlGzJZdu2bVQqlezXr5/RnqXHx8dz7dq1rF+/PpVKJa2srNi6dWvu2bNHr10H+/fvZ968eWlvb8+FCxca/eirtWvXEoAsa14I0urSpQu9vLzkDuOrwsPDWbt2bQJgt27d9DrK7eHDh5w8eTK9vb0JgN988w2HDx/O69ev663OzLp58yZz5MjBatWqMSEhQZYYZEkuwcHBtLKyYqtWrYzuwKlWq3ns2DEGBATQ3t6eAFitWjX+/vvvel9O+UMxMTHs3r279tLcmJ+ebtOmDcuXLy93GIIEtm/fTgBGOzGqWq3m/PnzaWdnx/z58/PgwYMGq1uj0TAsLIx9+vShq6srAbBChQqcPXu2UU4hExoaSltbW/7000+y3EczeHK5evUqnZycWLt2baMa/nf79m2OHTuWBQoUIAAWLlyYEyZM4N27d2WN69ChQyxQoADt7Ow4b948o0vGycnJdHJy4vjx4+UORZBAXFwcra2tOWPGDLlD+cjdu3dZs2ZNAmDPnj1lvQ/y7t07bt26lU2aNKGFhQXNzc35448/cvPmzUxMTJQtrn/bu3cvzczM2LVrV4P3EBk0udy/f58eHh4sX768Uaz18fr1ay5cuJA+Pj4EQEdHR3br1o0nT540qq662NhY9urViwBYo0YN2RPeh44cOUIAPH/+vNyhCBJp1KgRa9SoIXcYWmq1mnPmzKGtrS0LFizII0eOyB2SjpcvX3L+/PmsXLkyAdDZ2Zk9e/bkmTNnjOI4smrVKgLg2LFjDVqvwZLLy5cv6eXlRU9PT7548cJQ1X4kOTmZO3bsYPPmzWlpaUkzMzM2bNiQGzdulK1vMq2OHj3KQoUK0cbGhrNnzzaKq5iBAwfym2++MYqdSJDG4sWLaWZmZhSL0N25c0e79ESfPn2Mfpr5v//+m6NGjWLevHkJgEWKFOHEiRNlnyX8v//9LwFw3rx5BqvTIMnl7du3rFKlCnPmzCnLWbdGo+H58+fZv39/urm5EQDLlSvHoKAgo14c6FPevn3Lvn37EgC//fZbWfvGNRoNPT092b17d9liEKT35MkT2Vd9ValUDAoKorW1NQsXLsxjx47JFktGqNVqHjlyhB06dKCdnR0BsGbNmly+fLlsvTZDhgyhQqEw2CwMek8uycnJrF+/Ph0cHHjx4kV9V6fj8ePHnDZtGkuUKEEAzJ07N4cMGcIrV64YNA59OH78OD09PbX943IMj7xx4wYBpOuBNSFrqFixIlu1aiVL3bdu3aKvry8VCgUHDBiQ5R/Mffv2LVevXs26detSoVDQ2tqabdu25b59+wx6o12tVrN9+/a0sLDg4cOH9V6fXpNL6sZYWloarJ80Li6Of/75p+wNaQhxcXEcOHAgFQoFfXx8DP5U7rRp02hjY2P03YlC+k2YMIGOjo6SLCWcViqVioGBgbSysmLRokWz7FRQX5J6wlu8eHECoIeHB4cOHcqrV68apP7k5GQ2aNDAICf7ek0uQ4cONchlWOolaMeOHbWXoDVq1OCyZctMapbXzzl16hSLFi1KKysrBgYGGuwq5ttvv+VPP/1kkLoEw7pw4QIBGOQMl3x/r6Jq1apUKBQcPHhwllp9NSM0Gg3PnTvHfv36MUeOHNqu+lmzZun9nnTqbYpcuXLp9TaF3pKLIW4g3bx5k6NHj2a+fPl0bp4Z8zMh+hIfH6/tU61SpQpv3Lih1/oiIyOpVCqzzLQ9QvpoNBrmyZOHAwYM0Gs9KSkpnDp1Kq2srOjt7c3Tp0/rtT5j9O7dO27fvp3NmjWjhYUFzczM2KhRI27cuFFvw5pfvnxJb29vvQ6w0ktyWb16tV6Hvh09epRVqlTRDvvr0aMHT58+LUYskTxz5gy9vb1paWmp1wWE/vjjDwLIcgMihLTr2bMnCxUqpLf96u7du6xUqRKVSiWHDRsmulf5fjmODx+PcHJyYo8ePfQyMvTBgwf85ptv9PZoiIIkkUFTp07FzZs3MXDgQOTLly9dn3V3d09T+bdu3cLQoUORO3duycs3BVOnTkXXrl3T/bk2bdrgyJEjeiu/UaNGOHv2bLo/Jxje1KlTce3aNcyePRsKhSJdn03rfvyl39D58+excuVKdO3aFeXLl093+aYgo/tZ48aNcebMmTSVf+3aNTRq1Ah169aFUqlMcx0ZbQPzDH3q/1lbW2Po0KH47bff0KRJE7Rp0yZdQael/AEDBuDXX39Fs2bN0KRJE9ja2kpWvimwtrZOd+MvWbIEixYt0lv5JNGiRYt0fUaQj7W1Nbp06YJhw4Zh1apVein/c78hkujUqROuXbuGkiVL4uXLl5LXnxVkZD+LjIzEhAkT0lx+YGAgVq9ejZEjR2LUqFHw8vLKQKRpl+lMUKZMGaxduxZPnz5Ft27dcOvWLWTiYugjFSpUwLp16xAdHY2ePXsiKCgIsbGxkpWfHQ0cOFCvP6w9e/Zg2LBheitfkF6dOnVgbW39yX2LJE6fPo2UlBTJ612zZg2Cg4ORM2dOHD58GKdPn5a8DlNVpUoV1KtXL83vz5s3L0aNGoXRo0dj8uTJWLRokaTH6n+T5DLDwsICQ4cOxYgRIzB//nwMGDAAp0+flixwS0tL9O7dG4sXL0bx4sXRunVrPHr0SJKys5uQkBAcPXpUr3U0b9483d0rgvwWL14MHx+fj14PCgrChQsX0nUgS6tu3bqhWLFiAICyZcuiTp06ktdhikjC3d093fuZQqFA0aJFsXLlSsTHx2P69Ol6ilCi5AK8D9rLywvz5s1D//79sXfvXgwePFjSzGhra4sffvgB69atQ+vWrREZGSlZ2dlF3bp14evrq9c6kpOT9Vq+oB8KhQJ58uT5aJ+dMGEC+vfvj1q1auHt27eS1Xf06FEcOHBA57WSJUtKVr4p+89//oPg4OAMf16pVGLIkCF4/Pgxrl69KmFkH9QhdYEKhQJFihTBb7/9hrJly2LFihVSVwEXFxfs378f/v7+iIqKkrx8U7Vt2zasXbtW0jLVajUePnyo81q7du0krUMwnD179mDs2LHa/7927RpOnToFABg/fjyqVauWoXIfPHiAhIQEvHv3DhqNBjExMWjfvj1q1qyp877jx4/j3r17Gd+AbCApKQkbN27M9P1nhUKB+fPno0GDBnrpHsvUDf0vUSgU6NSpE7y8vNC5c2fJu0mcnJywc+dONGnSBBs2bICHh4ek5ZsKjUaDZ8+e4fjx41i3bh327t0rafktWrTA06dPERYWBoVCgYcPH+KPP/6QtA7BcCwtLREUFITJkycDAL799lvtfRiFQpHh3oJZs2YhKSkJAGBlZYXIyEiEhYV99D4HBwcUKVIEERERGdwC0/X8+XOEhoZi6dKlOHfunCRlKhQKHDt2DGPGjMGUKVMkKTOV3pJLqrNnz6JPnz5YuHCh5GXnzp0bW7ZsQZMmTbBr1y64urpKXkdWFhkZidGjR8PW1haVKlXCzp07Ja/jwoULuHz5MsaOHYvJkyfj22+/xZMnTySvRzCco0ePYs+ePfDz80OnTp10/nb27FncunVLe58krWbPno3k5GSo1WrExcXBwcEBNjY2n3yv6O7+2IsXL9C3b180btwYS5cuhbOzs2Rle3t7IzQ0FAkJCZKOxtV7cnF2dkZwcDBI6uUmr7u7O3bv3o1q1arh+vXr4kby/0tMTESTJk2watUqFClSRC/fS0REBMLCwuDq6or58+fjt99+E92UJsDX1xdVq1YFAISGhur8LV++fHBxcUl3OysUClhZWQHAVw9gkyZN0tvxIquqXLky7t27B0tLS72Uf+DAAVStWhUXL16UrEzJ77l8SkhICHr16qW38l1cXPDnn3/i119/1VsdWU2NGjWwY8cOFC1aNNM7qUajwb59+/D48WOd1/38/LTdkaGhoRgzZgxOnDiRqboE43D8+HFs2rTpk78dBwcHvdY9ZswY7NixQ691ZCWnTp3CggUL9JZYgPcjfvv06YOtW7dKVqZBkoujoyMePnyo1wekKlSogN27d0Oj0eitjqzi3Llz6NGjh2RPN//yyy+4f/8+WrRoofP9hoeHa/+7ePHi8Pf3R8WKFSWpU5CXjY0NChQo8Mm/hYWF4fLly3qrW6FQoFWrVnor35iRxLZt23Djxg3t//v7++Onn37Se92dO3fGrFmzPjqJzCiDJBcA2LVrF2rVqgWVSqW3Ok6ePIk2bdrorXxj9eGNUZKoV68eunTpIln5zZs3R+/evbFv3z7tSDCSOqOKgPdXMoLp8/DwQPXq1fVah7m53nvsjdKwYcMQERGBoKAgLFy4ECNHjsShQ4cMUrdCocDhw4fRpk0bXL9+PdPlGSy5mJub46+//oK/v7/engq1sbHB48ePs93Vy8SJE7U/hkWLFmHv3r2S9lc3a9YMAODq6ooXL14gKSkJEyZMwMSJEyWrQ8haqlWrptf97NChQ4iPj9db+cbo7NmzUCqV6NmzJ5YuXQp3d3dUqlQJlStXNlgMVlZW2Lt3L/773/9iwYIFmTpWZzq58P3Mymn65+3tjYEDB6br3kh6yieJY8eOoVu3bpndrCxl+/btGDx4MBYuXIgjR47A19c3Td9VWn34mQMHDqBhw4ZYvXr1R3/LaPmC/NK7n+3cuTNdEy2mt3w/Pz/Ur19fj1tsfLp27Yrp06drBzO0aNECLVq00Mt+/KV/jo6OWLlyJVQqFQIDAzO8PZm69rS1tU1332uuXLng6Oiot/KB9/OdZRe2tra4fv06Jk2ahDNnzmD06NFp/s7+PQPt58r/d3ldu3ZFrly5vlpPWsoX5JfR/axs2bJ6LT873XextbXF3LlzM/Q9ZXQ//poaNWpkqksuU1PuZ+ayOC2zJ+u7fFMg2kDILPEbkp8ptkGmWk6pVH7y37x582BmZoY5c+Z89j2ZKf/IkSMwMzPD1atXM1W+Kfjc9g8ZMgTm5ubYunWrXtpg+fLlsLCwQFRUVLZvg6zuc+03aNAgFChQAAqFQvLfUGJiIvz8/JA7d27cu3cv2/+GPrf9TZs2RY0aNT7798y0wcuXL+Hl5YVixYrh9evX0rfBZxYRy7SRI0cSANesWSN52e/evaODgwMnTpwoedmmQq1Ws23btrS0tOSxY8ckL//Zs2cEwNWrV0tetiA/jUbDQoUKsWfPnpKXnZyczIYNG9Le3p7nz5+XvHxTkZCQQBsbG06bNk3ysmNjY1mhQgV6eHjw/v37kpdP6mmZY/L9jzMgIIDm5uY8cOCA5OW3bNmSlStXlrxcU/Lu3TvWq1ePjo6OvHTpkuTlV65cmS1btpS8XEF+169fJwDu3btX0nI1Gg07dOhACwsLHjx4UNKyTc3u3bsJgH///bek5SYlJbFOnTp0dHTklStXJC37Q3pLLiSZkpJCf39/2tnZ8ezZs5KWvXr1agLg06dPJS3X1MTGxrJSpUrMnTs37927J2nZEydOpIODA9+9eydpuYL8pkyZQjs7OyYmJkpa7vDhwwmA69evl7RcU9S9e3d6enpSo9FIVqZarWbr1q1pZWXF48ePS1bup+g1uZBkfHw8fX196ebmxtu3b0tW7qtXr6hUKvn7779LVqapioiIYJEiRVikSBFGRERIVu6lS5cIQJyBmiBfX182adJE0jJnzpxJAJw9e7ak5ZoijUbDb775hgMHDpS0zH79+lGpVPKvv/6SrNzP0XtyId8nguLFi7NAgQKSXmlUq1aNP/74o2TlmbLw8HDmzp2bFStWZGxsrCRlajQa5suXj/369ZOkPME4REREUKFQcPny5ZKVuWbNGgLgyJEjJSvTlJ0/f54AeOTIEcnKnDJlCgFw0aJFkpX5JQZJLiT56NEj5s2bl2XKlGFUVJQkZQYGBtLa2prx8fGSlGfqLl26REdHR9atW1eyrqzevXuzQIECkl66C/JasWIFFQoFX7x4IUl5+/fvp7m5OQMCAsTvJI3GjRtHJycnJicnS1LesmXLCIATJkyQpLy0MFhyId/fJHRxcWGNGjUk6cu9efMmAXDnzp0SRJc9HDt2jJaWlmzTpg3VanWmy9u3bx8B8OrVqxJEJxiDpk2b0sfHR5KywsLCaGdnR39/f6akpEhSZnZQvnx5tmnTRpKyduzYQaVSyZ49exo0uRs0uZDk6dOnaWNjw6ZNm1KlUmWqLI1GwyJFirBbt24SRZc9bNmyhQqFgv3798/0jy0xMZF2dnacPHmyRNEJcpKyPW/dukU3Nzf6+vqK3oV0ePz4MQFw7dq1mS7r1KlTtLa2ZrNmzTJ9vE0vgycXkty5cyfNzMzYo0ePTB/cBg8eTA8PD0nOwrOTRYsWEQCnTp2a6bKaNWsm2ZmuIK/UK9Fr165lqpynT5+yQIECLF68OF+/fi1RdNnDokWLaGZmxjdv3mSqnOvXr9PZ2Zk1a9aUfNRfWsiSXMj3/bpS9AEeO3aMACQf6pwdjB8/ngC4YsWKTJWzcuVKSfvoBfn06tWLBQsWzNRJX1RUFMuUKcO8efPy0aNHEkaXPfzwww+sVatWpspIvcddtmxZRkdHSxRZ+siWXEhy6tSpmR69kJycTGdnZ/7nP/+RMLLsQaPRsEePHjQzM+OuXbsyXI4+RhcJhifF6L/ExETWqFGDLi4uvHHjhoTRZQ9xcXG0srLizJkzM1xG6ujcggUL8tmzZxJGlz6yJheNRsMBAwZQoVBwy5YtGS7n559/Zrly5SSMLPtQqVRs1qwZbWxsePr06QyX4+fnJ/lzEYJhpT63dOjQoQx9XqVSsWnTprSxseGZM2ckji572LZtGwHwzp07Gfp8XFwcfXx86O7unuEypCJrciGlmQNr/fr1BMCHDx9KG1w2IcXZ5tSpU2lraytL364gjV9//ZWOjo4ZGqau0WjYvXv3TF8FZ3cBAQEsVqxYhj6bnJzMRo0a0c7OjufOnZM4svSTPbmQ7+fAqlu3Lh0dHXn58uV0fz4qKorm5uZcsGCBHqLLHqKioli6dOkM95OnzkW1Z88ePUQnGEKlSpUyPFecVPfvsjO1Ws2cOXNy2LBh6f6sRqNhx44d9TaXY0YYRXIh38+BVbFiRebOnZvh4eHp/vx3333HBg0a6CGy7CMzI3z0OYuuoH9Pnz7N8CzXCxculGzkYXYWEhJCADxx4kS6PztixAjJhi9LxWiSC5m5ObBmzZpFS0tLyaY2ya5u376d4WcTBgwYwDx58oinsLOgJUuWUKlU8tWrV+n63ObNm6lQKDhgwADR7pk0atQo5siRI90PmwYFBREAZ82apZ/AMsiokgtJ3rt3j7ly5WKlSpXSlSju3r1LAAaZkM3UpT5V3ahRo3RNP3H48GEC4IULF/QYnaAP/v7+rF69ero+kzrbQ9u2bcVzZhIoVaoUf/nll3R9JnXOthEjRugpqowzuuRCvh+14uDgwHr16qXr5mLx4sXZqVMnPUaWfaTOB9WpU6c0n5G+e/eOjo6OBp2/SMi8+Ph4WltbMzAwMM2f0cc8ddnZ/fv3CYCbNm1K82cOHDhAc3NzduzY0SivGo0yuZDk0aNH031WNGLECLq7uxt8mgNTlZGZbFu3bs2KFSvqMSpBajt37iQA3rp1K03vv3fvnuQzbGd3c+fOpYWFBWNiYtL0/rNnz2aod8GQjDa5kP/rzx04cGCaMvOpU6cIIFPPawi6Uvtz07oGR2pCevLkiZ4jE6TStWtXFi1aNE3v1dfaQNld3bp1Wa9evTS9N/W+qI+Pj1HP2WbUyYX830iU6dOnf/W9KpWKbm5uYs0IiaVn9cDXr1/TzMyMixcvNkBkQmap1Wrmzp2bgwcP/up7P1zVNCMjOoVPi4mJoYWFBefOnfvV9z579owFCxZk8eLF0z34wtCMPrmQ79c2AMCVK1d+9b0dO3ZkyZIl9R9UNpI6hj6t657XrFmTjRo1MkBkQmadPXuWAL665O27d+9Yr149Ojo68tKlS4YJLpvYtGkTAfD+/ftffF90dHSWmrMtSySXD5/+3b179xffu2XLFgKQfL347C45OZkNGzakvb39V5/+nTFjBq2srBgXF2eg6ISMGjt2LF1cXL44/FWKWTSEz2vfvj1Lly79xfckJiayZs2adHFx4fXr1w0UWeZkieRCpn3eotjYWFpaWop1uvUgrfMW3b59mwC4fft2A0YnZETZsmX5888/f/bvUs3/J3xaSkoKXV1dOXr06M++R6r5/wwtyyQX8n32rl69+lfnwKpfvz7r1KljwMiyj1evXrFYsWIsVKjQF2dc9fb2ZpcuXQwYmZBeDx8+JABu2LDhs++ZNm0aAXDhwoUGjCz7OHHiBAEwNDT0k3//cObyrLbibpZKLmTa5sCaP38+zc3NZVvHwNQ9fPiQefLk+eJaEUOHDmWuXLnEw3VG7Gv7SeqaS+PGjTNwZNnH1/aTCRMmEECWXM4iyyUX8n9zYJUoUeKTc2A9ePDgq2dkQuZcu3aNzs7OrFWr1idnQg4ODv7iGZkgv/r167N27dqf/NuuXbtoZmbG7t27G+UDeqbC29ubnTt3/uTfUleLnTJlioGjkkaWTC7k+/W5c+TIQT8/v0+O9S5TpgzbtWsnQ2TZx8mTJ2ltbc3mzZt/9OBqSkoKXVxcOGbMGJmiE74k9d7kp+ajOn36NG1sbNi0aVPxQLIepd6b3LZt20d/27JlCxUKBfv3759lk3uWTS7k+zmwbG1t6e/v/9Fol7SMghEyb8eOHVQqlezZs+dHO0FaRsEI8kgdVXn37l2d12/cuEEXFxfWqFFDrM2jZ58bVZk6Z1vr1q2zdLdylk4uJLlv3z6am5szICBA5+AWFhaWpvH7QuYtW7aMAPjrr7/qvL5x40YC4IMHD2SKTPicjh07skSJEjqvpa67Xrp0aUZFRckTWDZSs2ZNNmzYUOe1y5cva+dsS0pKkikyaWT55EKSf/75JwFw1KhR2tdSnzweMmSIjJFlH5MnTyYAnSfzo6OjaW5uznnz5skYmfBvqTNZfDiT7uvXr1m8eHEWKFCAT58+lTG67OHNmzc0MzPjokWLtK+Fh4eb1JxtJpFcSHLmzJkEwDlz5mhf69q1K728vPjy5Uvev3+fL1++zLL9l8ZOo9GwX79+VCqV3Lp1q/b1unXr8vvvvxdtIDONRqNtgz179ujMwRcfH08/Pz+6ubnx9u3bMkdquj5sg8WLFxMAHz9+TJKMjIxk0aJFTWrONpNJLiQ5bNgwKhQKrl+/nlFRUezatSsB6Pzz9PTk7NmzxWW/HqjVarZq1YpWVlYMDg5mVFQUmzZtKtpARlFRUZw9ezY9PT112kCpVDIoKIgvX76kv78/7ezsGBYWJne4JulzbZD6sPfjx49ZqVIl5sqVy6RmFjGp5KJWq9mhQweam5vT2tr6o4MaACoUCioUCtrZ2XH//v1yh2xykpKSWKdOHdrZ2dHGxka0gYz2799POzs77ff9qbYwNzenmZmZaAc9SUsbmJmZ0dbW1uTmbFPChCiVSrRq1QoqlQpJSUmffA/fJ1QkJiaiUaNGOHDggIGjNG1WVlbo3bs34uPjkZiY+Mn3iDbQvwMHDqBRo0ZITEzUft+folKpoNFoDBxd9pDWNlCr1UhKSkJERISBI9QvBT+3xVlQdHQ08ubNi4SEhM825IeUSiVsbGzw5MkTODs76z/AbEC0gfxS2yAxMTFNiUO0gfREGwAmdeWyatWqNB/UAECj0SAhIQGrV6/Wc2TZh2gD+aW2QVqvSEQbSE+0gQlduZBE0aJFER4enuYDGwAoFAoULlwY//zzDxQKhR4jNH2iDeQn2kB+og3eM5nk8urVK7i7u2fq8zly5JAwouxHtIH8RBvIT7TBeybTLRYXF5epz799+1aiSLIv0QbyE20gP9EG75lMcrG3t8/U5x0cHCSKJPsSbSA/0QbyE23wnskklxw5csDT0zPdfZUKhQKenp5wdXXVU2TZh2gD+Yk2kJ9og/dMJrkoFAr069cvQ5/t37+/SdxAk5toA/mJNpCfaIP3TOaGPiDGlhsD0QbyE20gP9EGJnTlAgDOzs7466+/oFAooFR+edOUSiUUCgW2bt1qMo1pDEQbyE+0gfxEGwAmNbdYqi/N5/PhvFYHDhyQO1STJdpAfqIN5Jed28Akkwv5fibSOXPmfDQTqaenJ+fMmcPo6Gi5QzR5og3kJ9pAftm1DUzqnsunkMSbN2/w9u1bODg4wNXV1WRumGUVog3kJ9pAftmtDUw+uQiCIAiGZ1I39AVBEATjIJKLIAiCIDmRXARBEATJieQiCIIgSE4kF0EQBEFyIrkIgiAIkhPJRRAEQZCcSC6CIAiC5ERyEQRBECQnkosgCIIgOZFcBEEQBMmJ5CIIgiBITiQXQRAEQXL/B95Q1+uELvMLAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[0,1]')\n", - "model.module(0,'[2,3]->[2,3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "34a7bce5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[2,3]')\n", - "model.module(0,'[2,3]->[0,1]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "816a4250", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1,2,3]->[1,2,3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "markdown", - "id": "1728aea1", - "metadata": {}, - "source": [ - "Case 2: you can use model.module smartly to create tree graphs." - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "37e983f7", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "image/png": 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BoUOH5FPPiKIIDw8PjBw5Ep06dZI6nsrj4vI/DRs2RNmyZTFnzpx8vwdfPqu/hg0bws7ODhMmTICxsXG+3oP3A/XWsGFDbNq06T//npCQgM2bN2P06NHffA/eBwBtqQOoiri4OHh6emLp0qVYtWoVd+YVUXFxcWjVqhXGjh2LcePGoUOHDjyVSBETFxf32eJQqVIlDB06FNHR0XB3d5cgmXrho+YTM2fORM2aNdGrVy9kZWVJHYdJpG/fvti7dy8uXLiArl274ubNm+AL/KLt7du3cHR0xKRJk9CsWTOp46gFvnL5hCAIGDlyJCwtLdG2bVvs3LkTpqamUsdiEihWrBgWLlyIO3fuYObMmShXrhxmzpyJYsWKSR2NKRER4f79+2jRogWeP38OQRDQokULJCcn89x/38DF5TN69uyJMmXKoFmzZtizZw/KlSsndSQmAUEQUK1aNezcuROBgYHo2LEjxo8fj86dO3OzqYa7d+8eLl68iLNnzyI1NRVbtmyRN48eOHAAtWrVwpkzZ5CYmIjy5ctLG1ZFcYf+/9SoUQM3b97M8W9RUVFo3bo1AgICeHbVIuJz+0G2xMRETJkyBTKZDCtWrOC+GA1Vo0YNuLm5wd3dHY0aNYK9vf1/tvWvv/6K0NBQPHz4ENevX4e2Np+n/xsXl//50pdKfHw8WrRogaVLl6Jx48YSJGPK9LXiAvzTTLJx40YcOHAA+/fv5ysYDVSjRg3cuHHjq9uWiJCZmYnExET07t0bR48eVWJC9cCnXt9gZmaGc+fOYe7cudi4cSN37BZxgiBgyJAh8Pb2Rr9+/Xh/0FDfOmkQBAE6OjqwsLBAVFQUoqKilJRMfXBxyQUDAwMEBQXh7t278Pb2xps3b6SOxCTWq1cvVKxYEX/88YfUUZjErly5gqZNmyIjI0PqKCqFi0suaWlpYdGiRfj+++/Rs2dP7N27V+pITGI///wzVq9ejZiYGKmjMAkZGhri1KlTaNmypdRRVAoXlzwQBAENGjTAkSNHsHv3bvz+++9SR2ISEgQBISEhqFWrFjePFXGlSpXC2bNnpY6hUri45IOBgQG2bNmCkydP4ty5c1LHYRIyMDDAjz/+iJ07d0odhUls8eLF3DT2CR4t9j/fGiX0OaIoolixYoiLi+NRQxoiP/sBEcHQ0BApKSm8H2iA/OwDwD/7QdeuXbnJ/H/4yqUAZDIZLl26hOHDh0sdhUlIEAScP38eP//8s9RRmIQEQcC+ffukjqEyuLgUULVq1bB3715ucy/iateujWXLlvF+UMQ5OzvzPvA/XFw+QUT5+gkPD8fSpUuljs8UJL/7QWhoKJYvXy51fKYA+d0Hzp49i0WLFkkdXyXwnAX/4+3tjUuXLuX79VWqVFFgGiaVgu4H/BwP9VfQfaBatWoKTKO+uEP/fxTxMXBnrvrj/YDxPqAY3Cz2P4IgfPUnIiICMpkMERERX/wbpv4Kug/wfqD+eB9QDC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LSy4QEWJjYwEAsbGxICKJEzFl432A8T6QN1xcviIuLg7Lly9HpUqV4OHhAQDw8PBApUqVsHz5csTFxUkbkBU63gcY7wP5IxCX3886cuQIunXrhpSUFADIcZYiCAIAwNDQELt370arVq0kycgKF+8DjPeB/OPi8hlHjhxBu3btQEQQRfGLfyeTySAIAgIDA3nH0jC8DzDeBwqGi8u/xMXFoXTp0khNTf3qDpVNJpPBwMAAL1++hLm5eeEHZIWO9wHG+0DBcZ/Lv/z1119ISUnJ1Q4FAKIoIiUlBZs3by7kZExZeB9gvA8UHF+5fIKIUKlSJTx+/DhPI0EEQUCFChXw4MEDeTssU0+8DzDeBxSDi8snYmJiYG1tXaDXW1paKjARUzbeBxjvA4rBzWKfSEpKKtDrExMTFZSESYX3Acb7gGJwcfmEsbFxgV5vYmKioCRMKrwPMN4HFIOLyycsLS1hb2+f5/ZSQRBgb28PCwuLQkrGlIX3Acb7gGJwcfmEIAgYM2ZMvl7r4+PDnXgagPcBxvuAYnCH/r/w+HbG+wDjfaDg+MrlX8zNzbF7924IggCZ7OsfT/aduXv27OEdSoPwPsB4Hyg4Li6f0apVKwQGBsLAwACCIPznMjf73wwMDBAUFARPT0+JkrLCwvsA432gYLi4fEGrVq3w8uVL+Pr6okKFCjl+V6FCBfj6+uLVq1e8Q2kw3gcY7wP5x30uuUBEOHXqFFq0aIETJ06gWbNm3GlXxPA+wHgfyBu+cskFQRDkbanm5ua8QxVBvA8w3gfyhosLY4wxhePiwhhjTOG4uDDGGFM4Li6MMcYUjosLY4wxhePiwhhjTOG4uDDGGFM4Li6MMcYUjosLY4wxhePiwhhjTOG4uDDGGFM4Li6MMcYUjosLY4wxhePiwhhjTOG4uDDGGFM4Li6MMcYUjosLY4wxhePi8g2iKOLDhw94/vw5AOD169dITk6WOBVTJt4HGO8DeScQEUkdQhWlpaXh5MmT2Lx5M0JDQxEdHY2kpCSYmZnBzs4Onp6eGDBgABwcHPhxpxqK9wHG+0D+cXH5jMePH2Py5MkIDAyEra0tmjVrBmdnZ5iamuL9+/e4evUqTp06hYyMDIwfPx4+Pj4wNDSUOjZTIN4HGO8DBUQsh1u3bpGjoyMVK1aM5syZQ69fv6bk5GQ6f/48nT59mi5fvkxpaWn05MkT8vHxIRMTExo+fDglJydLHZ0pCO8DjPeBguPi8omYmBhq0KABWVlZ0b59+ygzM5OIiB49ekRWVlakra1NlSpVog8fPpAoipSenk5r164lU1NTmj17NmVlZUm8BqygeB9gvA8oBheXT/zyyy+kp6dHf/zxR44d5NGjR2RmZkYAyM7Ojj58+CD/XUZGBk2fPp0sLS0pLCxMithMgXgfYLwPKAaPFvuf6Oho+Pn5oX79+vD29oZMlruPRltbGz4+PihevDjWr18P4i4stcX7AON9QHG4uPxPaGgoXrx4gb59+0JfXx9ZWVk5frIR0X9+Z2Vlha5du+L48eOIi4uTbiVYgfA+wHgfUBxtqQOoioiICOjq6sLFxQVTpkzBzZs35b9LTU2Vj2l/+/YtevfuDW3t///oRo4ciQYNGmDlypV49eoVihUrpvT8rOB4H2C8DygOF5f/iY6Ohr6+PszMzBASEoLz589/9u9SU1Nx4sSJHP/Wrl07uLu7QxRFPmNRY7wPMN4HFIeLy//o6elBFEVkZmZCJpP9p61VFEX5///37wRBQHp6OgBAR0en8MOyQsH7AON9QHG4uPyPvb09kpOT8fLlSyxcuBCxsbHy371+/Ro+Pj5ITk6GjY0NVq5cCWNjY/nvHRwccObMGWhra8Pa2lqK+EwBFLEP6Ovrw8bGRor4rIBiY2MRGxuLpKQk3gcUgIvL/9SrVw+6uroIDg7GggULcpyVPH78WN62amhoCA8PjxztqZmZmTh06BDi4uJQv359tG7dGm3atIGnpycsLCyUvi4sf+rUqQOZTJbvfSAoKAgODg4oWbKk0rOzvBNFEeHh4Th8+DCCg4Nx+fJliKLI+4CC8Gix/6lWrRrq16+P7du349GjR7keSkhECAkJwYkTJzB27FgMHDgQERER6NOnD6ytrVG/fn3MmTMHoaGhOS6pmer4+PEj1q1bh169eiEtLQ3btm3L1z5w+PBhfPz4EY8ePSrkxCy/YmJiEBAQgH79+qFEiRJwdXXFb7/9hhIlSuCPP/7AgwcP0KJFi3x/Dxw7dgx9+vSBnp5eIa+JGpDm9hrVdPz4cTIxMaEuXbpQXFwciaJIRF++eUoURXr16hW5u7tT3bp1c9xU9fLlS9qwYQN169aNTE1NCQBZWVmRt7c3bd26laKjoyVZR/b/EhIS6LfffqOSJUuSIAjUrVs3WrVqVb73gbJly1LJkiUJAHXq1IkuX74s5eoxIsrMzKTLly/Tzz//THXr1iVBEAgAOTk50dSpU+nMmTOUnp6e4zWK/B4oyri4fCIzM5PmzJlDenp61Lt3b3rx4gWJokhPnz6lKlWqUMmSJalevXryHe7u3bvk4eFBtra2dOHChS++b3p6Op09e5Z+/PFHcnZ2JgAkCAK5urrSTz/9RJcuXZJPMcEKX0xMDP30009UrFgx0tbWpkGDBtGdO3eI6P/3AX19/XztAx8/fqSNGzdS5cqVCQA1b96cjh07Jv+CYoXv7du3tHnzZurTpw9ZWloSADI3N6cePXrQn3/+Sa9evfrq6wu6D7B/cHH5l7i4OCpevDjJZDJycHCgFStW0N27d+nJkyf0/PlzevLkCd24cYN+/fVXKlu2LNnb29Px48fztIyoqCjy8/OjXr16UbFixQgAWVhYUO/evemvv/6iN2/eFNLaFW0vXrygsWPHkqGhIRkYGNAPP/xAz58//8/fpaWl0axZs8jIyCjf+0BmZibt3LmTXFxcCADVqVOHdu/ezfNOFYKMjAy6cOECzZgxg2rXrk0ACADVrl2bpk+fTufPn6eMjIw8vWde9oHSpUuTjY1Nnr8HNB0Xl38ZN24c6ejo0MqVK6lhw4ZkYGBAFhYWVL16dapbty45ODiQmZkZWVhY0ODBg+nBgwcFWl72gTFz5kyqU6eO/MBwcXGhadOm0blz5/J8YLCc7t27R4MHDyYdHR0yNzenGTNmfLNZMjMzkw4dOlTgfUAURTpy5Ag1adKEAFDVqlXJz8/vP00xLG+yT9B69uyZ4wStT58+CjtBy+0+YGdnR8bGxvTs2TMFrJnm4Oe5fOL48eNo2bIlli5dinHjxiElJQVXr17FuXPn8ODBA6SmpsLS0hJOTk5o2rQpKlasCC0tLYVmiI6OxtGjR3H48GEcOXIE79+/h7m5OVq2bInWrVujdevWsLW1VegyNVVERATmz5+PXbt2wcbGBuPHj8fw4cNhamqa6/dQ5D5w6dIlzJ8/HwcPHkTZsmUxceJEfPfdd/wMkFzIyMjApUuXEBwcjMOHD+PatWsQBAGurq5o06YNWrduDVdXV4Ufj8C39wFLS0u4uLigQoUKOHHiRKFkUEtSVzdVERMTQ7a2ttSiRYsvNl0ou908MzOTQkJCaNasWVSvXr0cnZFTpkyh06dP8xnwv4iiSKdPn6ZWrVoRAKpQoQKtXbuWUlNTFfb+BRUZGUne3t6kpaVF1tbW9Ouvv1JsbGzBw2mYFy9e0Pr163MMirG2tqa+fftKOijmc/vAyZMnSRAEWrhwoQSJVBMXF/pnZ+nWrRsVK1aMXrx4IXWcL3r37h0FBARQv379yNramgDIR7WsW7fus/0HRYUoinTgwAGqX78+AaCaNWtSQECASjcpPnr0iEaOHEl6enpkYmJCkydPptevX0sdSzIfP36kkydP0qRJk6hmzZoEgGQyGdWvX5/mzJlDV65cUek+q0mTJpGOjg6Fh4dLHUUlcHEhok2bNhEA2rlzp9RRci0rK4uuXr1Kv/zyC7m7u5NMJiMAVL16dZo4cSKdOHGC0tLSpI5Z6DIyMsjf359q1KhBAMjd3Z0OHjyoVqOzXr9+TZMnTyYTExPS09OjkSNH0uPHj6WOpRTPnj2jtWvXUqdOncjY2JgAkI2NDQ0YMIC2b99O79+/lzpirqWlpVGtWrXIwcGBUlJSpI4juSJfXB49ekTGxsY0YMAAqaMUyIcPH+jvv/+mQYMGye+1MDIyoo4dO9KaNWvoyZMnUkdUqNTUVFqzZg1VqFCBAFDr1q3pzJkzalVU/i02NpZ+/fVXsrKyIi0tLfL29qYbN25IHUuh0tLS6NixYzR+/HhycHAgAKSlpUUNGzakuXPnUnh4uEpfnXzLrVu3SF9fn0aPHi11FMkV6eKSkZFB7u7uZGdnR/Hx8VLHURhRFCkiIoLmzZtHjRs3Ji0tLflIpXHjxtGRI0cU1gehbPHx8bRw4UIqUaIECYJAPXv21LhmiOTkZFqxYgWVLVuWAFCHDh3o4sWLUsfKt8ePH9OqVauoffv2ZGhoSADI1taWBg8eTDt37tS4/qYVK1YQAAoKCpI6iqSKdHGZM2cOyWQyOn/+vNRRClVcXBzt2rWLhgwZQqVKlSIAZGhoSO3ataOVK1fSw4cPpY74TdHR0TR9+nQyNzcnHR0dGjJkCN2/f1/qWIUqPT2dNm3aRFWrViUA1KRJEwoODlb5q7OUlBQKDg6mH374QX4zqba2NjVt2pQWLFhA169fV/l1KAhRFKl169ZkY2NTpGfiKLLFJSQkhLS0tGjGjBlSR1EqURQpMjKSFi1aRM2aNSMdHR0CQJUqVaIxY8ZQUFCQSrUXP3v2jMaMGUMGBgZkZGRE48ePp5cvX0odS6mysrJoz5495OrqKr8HaseOHSo1q8P9+/dp+fLl1KZNGzIwMCAAVKZMGRo2bBjt2bNHo1oGciMqKoosLS2pU6dOGl1Iv6ZIFpfExESqWLEiubq6FvmhvAkJCbRv3z4aPny4vBlGX1+fWrVqRb6+vnTv3j1JDo47d+7QwIEDSVtbm4oVK0Y///wzxcTEKD2HKhFFkY4dO0bNmzcnAFS5cmXauHEjffz4UelZkpOT6dChQzR69Giyt7cnAKSjo0MtWrSg3377jW7evFlkv1Sz7d27lwDQ+vXrpY4iiSJZXIYOHUqGhoZ07949qaOoFFEU6fbt27RkyRLy8PAgXV1d+b0io0aNooMHD1JSUlKhZggNDaWuXbuSIAhka2tLS5YsocTExEJdpjoKCQmhzp07EwAqXbo0LVu2rFC3jSiKdOfOHVq6dCl5enqSnp4eAaDy5cvTyJEj6cCBA7ydPmPIkCFkaGio8U24n1Pkisu+ffsIAP3xxx9SR1F5SUlJdPDgQRo1ahTZ2dkRANLV1SUPDw9asmQJ3b59WyFnp6Io0okTJ8jDw4MAUMWKFWn9+vVFYih1Qd26dYv69+9PWlpaZGlpSbNnz1bY8N3ExETav38/jRgxgsqXL08ASE9Pjzw9PWnZsmV09+7dIn918i3ZrSR169Ytcq0kRaq4vH79mqysrKhjx458UOSRKIp079498vX1pdatW5O+vj4BoHLlytHw4cNp3759lJCQkKf3zMrKon379lHdunXlMw9s375dpfoS1MWTJ0/o+++/J319fTI2NqYJEyZ8c/bffxNFkW7evEmLFy+m5s2by/vj7O3tafTo0RQYGEjJycmFtAaa6/Lly6SlpUU//fST1FGUqsgUFx7BoVjJyckUFBREPj4+VKlSJXmbe7NmzWjRokUUGRn5xQKenp5OmzdvpmrVqhEAatSoEQUFBXHBV4A3b97Qjz/+SKampqSrq0vDhg376mjA+Ph42rNnDw0dOpTKlClDAMjAwIDatm1LK1asKPDErOwfs2fPJplMVqSm5C8yxeX3338nABQYGCh1FI308OFD+v3336ldu3by0UKlS5emIUOG0K5duyguLo5SUlLo999/p3LlyhEAateuncYPA5dKXFwczZ8/X/74iN69e9O1a9dIFEW6du0aLViwgJo0aULa2toEgKpUqUJjx46l4OBglRotqCkyMjKofv36ZGdnl+crfHVVJIrL7du3SV9fn77//nupoxQJqampdPToURo3bpz8Hg2ZTEY6OjokCAK1bt2arl27JnXMIiElJYUWL14sn4suuyPe0NCQOnToQKtWrSoyU81I7eHDh2RsbEyDBg2SOopSaPyU++np6XBzc0NqairCwsJ4enMlio6Ohq+vL1auXInU1FSULl0a7969Q0pKCkqUKIHWrVujTZs2aNmyJYoVKyZ1XI0hiiKuXbuGw4cPIzg4GJcuXUJWVhZsbW3x8eNHvH//Hg0aNMD06dPRunVrCIIgdeQiw8/PD4MHD8auXbvQrVs3qeMULqmrW2GbMmUK6ejoUFhYmNRRiox/dy5PnDhR3rmclpZGJ06coIkTJ1L16tXlVzXu7u70yy+/0NWrV9V6bimpvH//nrZt20b9+/cnGxsbAkDGxsbUuXNn+uOPP+jp06dE9M8giv3791O9evUIANWqVYsHUSiRKIrUtWtXsrCw0PibgTW6uJw+fZoEQaAFCxZIHaVIuHXrFvXr108+LHbOnDn04cOHr77m+fPntG7dOurSpQuZmJgQACpevDj169ePAgICivyNk1+SlZVFV65codmzZ5Obm5t8VuyaNWvS5MmT6dSpU1+9uVIURTp58iS1bNlSPvx73bp1PPxbCWJiYqhkyZLUsmVLjT6R0tjiEhsbS2XKlKHGjRvzWVkhu3z5MnXq1Eneie/r65uvG/rS09Pp9OnTNGXKFHJyciIAJAgC1atXj2bNmkUhISFFeltGR0fT1q1bydvbm6ysrAgAmZqaUrdu3WjDhg35PhMODQ2lbt268Y2rSnTkyBECQMuWLZM6SqHR2OLi5eVFZmZm8uYAplifm4rkzz//VOhUJK9evaKNGzdSjx49yMzMjACQpaUleXl50ZYtW+jt27cKW5YqyszMpEuXLtFPP/1Erq6u8ieROjs7048//khnz55V6I15d+7coUGDBpG2tjZZWFjwlDuF7IcffiA9PT2KjIyUOkqh0Mji4u/vTwDI399f6igaJysri3bv3k116tSRT6K4c+fOQr+iyMjIoHPnztH06dPJxcVFflVTp04dmjFjBl24cEEjrmrevHlDf/31F/Xu3ZssLCwIABUrVox69epFfn5+FBUVVegZnj17Rj4+PmRgYECGhoY0btw4lX5Cq7pKTU2l6tWrU82aNdX2ERhfo3HF5enTp2RmZkZ9+vSROopGSU9PJz8/P/nQ4qZNm9KRI0cku/Hx9evXn/0S7tmzJ/n5+anN44I/VzQBUJ06dWjmzJl04cIFyR7VHB0dTTNmzJA/5uC7777j+fgU7Nq1a6Srq0vjx4+XOorCaVRxyczMpCZNmlCZMmU07gFEUklOTqbly5fL797u2LEjXbp0SepYOeSm+UiqL+jP+bS5z9zcXOWb++Lj42nRokXyB7T16NFD4x7QJqXffvuNANDx48eljqJQGlVcFixYQIIg0KlTp6SOovb+/cjdvn37qs0jdz/X8W1mZlbgju/80pSBCqmpqbR27Vr5o6VbtWql9o+WVgVZWVnUvHlzKlWqlMImHVUFGlNcwsLCSEdHhyZPnix1FLX2+vVrmjx5MpmYmJCenh6NGjVKre/g/nTIbv369fM8ZDe/PjfE2traWj7E+t27dwpfprJkZGRQQEAA1axZkwCQu7s7HTx4kItMAbx48YLMzc2pe/fuGvM5akRxSU5OpqpVq1KtWrV4nH4+PXr0iEaMGEF6enpkYmJCU6ZMUZt+i7yIiYmhbdu20YABA+Q3G5qYmMhvNnz27Fm+3rco3hwqiiIdPHiQ3N3d5QXb399fpZog1cnff/9NAOivv/6SOopCaERxyb4b/NatW1JHUTuRkZHk5eVFWlpaZG1tTXPnzi0y/VVZWVkUFhZGc+fOpYYNG5KWlhYBoGrVqtGECRPo2LFjXz1ZefLkCa1Zs4Y6duxIRkZGBIBKlixJgwYNor///vubN5BqClEU6cyZM9S6dWv5w+XWrFmjkSOgClv//v3JxMRErVsLsql9cQkMDCQAtHLlSqmjqJWLFy9Shw4dCACVLVuWVq5cWeSf1REbG0s7duygwYMHU8mSJQkAGRkZySd4vHPnDh05ciTHhJxaWlrUuHFjmjdvHkVERGhMk0Z+hYeHU8+ePUkQBCpRogQtWrSoyMwCrAjx8fFUvnx5atCggdpfAap1cYmOjiYbGxtq3bp1kT+oc0MURQoODqYmTZoQAHJwcKBNmzYVuSfk5Ub21PSTJk2iihUrykegZRec1q1bU0BAAMXFxUkdVSXdu3ePvvvuO9LR0SFzc3OaMWMGP0cpl86dO0cymYx+/fVXqaMUiNoWF1EUqWPHjmRlZaWRfQOKlJmZSTt27JDfR+Hq6kp79uzRuD4ARUhJSaGgoCAaM2ZMjoegNWrUiPr370/dunWj0qVLyx+q1aZNG36o1le8ePGCxo0bR4aGhmRgYEA+Pj70/PlzqWOpvOnTp5O2tjZduXJF6ij5prbFZd26dQSA9u3bJ3UUlfXx40fauHEjVa5cmQBQixYt6Pjx43yV94lPH9/cqlUr+eOby5Yt+8XHN/PjgPMuJiaGfv75ZypWrBhpa2vTwIED6c6dO1LHUlnp6elUp04dqlSpUr7m6VMFallc7t+/T4aGhjR06FCpo6ikpKQkWrZsmfwMu0uXLmp9BqRoSUlJdPDgQRo1apT8ng1dXV3y8PCgJUuW0O3bt/NUgBMTE2n//v00YsQI+VM29fT0yNPTk5YtW0Z3797lgv4/iYmJtGTJErK1tSVBEKhbt2509epVqWOppHv37pGhoSENHz5c6ij5onbFJT09nVxdXalixYo8c+u/vH//nmbPnk2Wlpakra1NAwYMoNu3b0sdS3KiKNLt27dpyZIl5OHhQbq6ugSA7OzsaNSoUXTw4EGF7UuiKNKdO3do6dKl5OnpKX/yY/ny5WnkyJF04MAB3m/pn6Hb69evp4oVKxIAatmyJZ08eZKL8L+sXbuWAND+/fuljpJnaldcZs6cSVpaWnT58mWpo6iMV69e0YQJE8jY2Jj09fVp9OjRRX426ISEBNq3bx8NHz5cfjWhr69PrVu3Jl9fX7p3755SvsiSkpLo0KFDNHr0aLK3t5dfJbVo0YJ+++03unnzZpH+Qs3MzKTt27fLZy6oV68e7du3j/sD/0cURerQoYNa9i2rVXG5cOECyWQymjNnjtRRVMKDBw9o6NChpKurS2ZmZjRt2jSVm5dKWURRpMjISFq0aBE1a9ZM3g9SqVIl8vHxoaCgIJXoB7l//z6tWLGC2rRpI+/fKVOmDA0bNoz27NlD8fHxUkeUhCiKFBQURI0aNSIAVL16ddq8eTOPZCSit2/fUvHixalt27ZqdSKiNsUlPj6e7OzsqH79+mo//rugrl27Rr179yaZTEY2Nja0YMGCIjkkNi4ujnbt2kVDhgzJMYKrXbt2tHLlSnr48KHUEb8qJSWFgoOD6YcffpAPutDW1qamTZvSggUL6Pr162r1ZaIo58+fp3bt2smbE1etWkUpKSlSx5LUoUOHCACtWrVK6ii5pjbFZeDAgWRsbEyPHj2SOopkzp07R23btpUfdKtXry5SB50oihQREUHz5s2jxo0bk7a2NgGgqlWr0rhx4+jIkSNqfVf4o0ePaNWqVdS+fXsyNDQkAGRra0uDBw+mnTt3FpmZE7Jdv36d+vTpQzKZjIoXL07z588vkidR2UaOHEn6+vpq04+qFsVl586dBID8/PykjiIJURTlzzqvXr06bdmypchdvV28eJFKlCghv4mxY8eOtGbNGnry5InU0QpFamoqHTt2jMaPH08ODg7y2QD69u0rdTSle/DgAQ0bNox0dXXJ1NSUAgMDpY4kieTkZKpSpQq5uLgUymSriiYQEUEFNGzYECVLloSLiws8PT1hZmaW5/eoWLFiISRTnoYNG8La2hqLFy/O93uo82fQsGFD2NnZ4bvvvkPp0qXz9R7qvP7AP5/Bpk2b8vVaIsJff/2FX3/9VbGhlOjT9b99+zYCAgIwffp0GBgY5Po9NGEfcHNzw9u3b5GRkYH69evD2dkZenp6sLS0zNV7qMJnoC11gGxxcXFYunQpzpw5g+nTp8PZ2Rmenp5wc3PL046lzuLi4lCmTBkEBwdj+PDh0NbWhiiKEEUR2traEARB6oiFKi4uDt26dcPSpUtRoUIFTJo0CaVKlZI6llLFxcXl+4th6NChmD59uoITKden6+/o6Ii9e/di8ODB2L59O2QyGUxMTGBlZSVxysIVFxcHNzc3WFtbQ1tbG6dOncL69euRkpKCxo0b44cffpA6Yq6ozJVLjRo1cPPmTQBAamoqQkNDcfToUVy+fBmzZs1Cw4YNJU5Y+GrUqIEbN25g8eLFuHjxIiwtLZGcnIzMzEyYmJhg2LBhqF+/vtQxC032PpCZmYkzZ85g4cKFaNOmDUaPHg0dHR2p4ynFp8dBXmRlZaFMmTKIiooqhFTKU6NGDVy5cgVxcXHYtGkTpk2bhnv37uHnn3+Gjo4OLly4gEePHmn0idbn9oHsk8wuXbpg/vz5qFGjhkTp8kDSRrlPVK9e/T//JooivX//npo0aUIXL16UIJVyZX8GoijShw8f6MmTJxQdHU3x8fF079496ty5M23cuFHilIXn3/vAx48fafny5dSiRYsicz/I546D3GjXrp1GDEOvXr06VatWjUqUKJFje2dlZZEoinT9+nVau3athAkL39f2gaysLDI1NVWLY0EmdXH7GkEQYGFhgWPHjqF3795ITEyUOpJSCIKAYsWKoXz58rC2toapqSkqV66M3bt3Y/fu3QgJCZE6olLo6urCx8cH69atw6RJk7BkyRKQalxoq5Tjx4+jZMmSKF68uNRRFKJly5b47rvvclydyGQyCIIAR0dHjBw5UsJ00pLJZAgKCsKAAQOkjvJNKl1csuno6CAsLAzOzs5F+stFJpPh4MGDaNWqVZH6HCpUqICDBw9CFEX07NkToihKHUllxMTEoF+/fli3bp3UURRm2bJl+OWXX774+549eyI2NhapqanIzMxUYjLV0KBBA+jo6ODQoUNSR/kqtSguAGBlZYVffvkF06ZNkzqKpGQyGS5evIh+/fpJHUWptLS0MGnSJPTu3RsdO3YsUsX1S4gIzs7OiIiI0Kg+CEEQvro+/v7+GDx4MPr27YsOHTrg7du3SkynGjZs2IAff/wRjx8/ljrKF6lNcQGAPn364ObNm0WmWehLqlWrhhs3biA1NVXqKEolCAK6deuGNm3aYM6cOVLHkdyWLVuwceNGlChRQuooSqWlpYUdO3Zg69atWLt2LRwdHaWOpHSCIODKlSto3LgxUlJSpI7zWWpVXABg//796NKli8p+oMpy+fJluLu7Sx1DEqNGjcLp06dV+qytsBERBg8eDE9PT6mjSEJHRwcGBgYoV64c6J+bwaWOpHQGBgY4e/Ys6tatq5Lrr3bFRSaTISwsDHXq1FHJD1RZDAwMUKJECbx//17qKEonCAKOHTtWpPeBffv2YceOHVLHUAlXr17Fhg0bpI4hiQoVKuCXX35RyXtf1K64AEDJkiUxefJkLFiwQOookjp06BCcnZ2ljiEJbW1tbN++HVOnTpU6itIREXr06IEuXbpIHUUllC1bFsOHD5c6hmS6dOmCnTt3qtxAF7UsLgAwYMAAbNmypcgMT/4cLS0ttG3bFnfu3JE6iiQ8PT1x+PBhxMfHSx1FaYgIw4cPR0BAgEZ14hdUvXr1iuxVLABcu3YN3bt3lzpGDmpbXARBwNWrV+Hi4iJ1FEmtWbMGrq6uRfbACgkJ0birt69ty/nz56NChQro2bOnEhOpvhMnTmD9+vVSx5CMjY0Nrl27plJXL2pbXADA0NAQPXv2xJkzZ6SOIhlBEODr64tdu3ZJHUUSBgYGGDRoEIKDg6WOojBz587FvHnz/lNkRFHEypUrMWXKFImSqS5DQ0OMGDFC6hiSCgsLw6BBg6SOIacyE1fm16+//gpDQ0OkpKQU2WaC7777DoaGhujevXuR/AxmzJihUfuAnp4eBEHA6NGj0ahRIwBAjx490KtXL1y7dk0j1rEwVKxYEURUZD+fYsWKYe/evdi0aZNKfAYqdeWSPaQwLz8AcPToUfz+++8Sp1eM/H4GZ86cwcqVKyVOX3D5Xf8TJ05ozD4wceJETJgwAc2bN0dsbCwePXqEXr16AQCKFy+eq89DneVnHyAihISEYOHChVLHV4j8fgahoaHw9fWVOj4AFbpy8fb2xqVLl/L1Wi0tLVSoUEHBiZSvIJ8BANjb2yswjfIVdP01bR8oWbIkSpYsCQCoXLkybG1tc/X5qPP9TwXdB6pXr67ANNIo6GdQqVIlBabJP5WZcl8RMVThUrAgivpnUNTXH+DPoKivP6A5n4HKNItlzyf0uZ9t27ZBT08PtWvXxt27d7/4d+rua59BREQEZDKZfB4pTfwMvrROhw4dQvHixVGyZEncvn1bY9cf+Po+4OPjA5lMBi8vL8THx2vkZ/C19c/tcaDuPrdOoihi/vz50NXVRb169ZCWlqbyx4HKFJev8fLywuXLl5GSkoLatWtjzZo1GtG2zL4uJSUFI0eORMeOHVG/fn1ERkZqRLNHfq1cuRIBAQE4fPgwnJyccPbsWakjMSV49uwZmjVrhhkzZmDy5Mm4cOGCWjydVy2KCwC4uLggPDwcAwcOxKhRo9CxY0dER0dLHYsVkvDwcLi4uOCvv/7CmjVrsH//fo15XklB9OnTB9evX0f58uXRtGlTTJs2Denp6VLHYoVk27ZtcHJywrNnz3D69GnMnTtXbZ7KqjbFBfhnLPvq1atx4MABhISEoGbNmjh8+LDUsZgCiaKIRYsWwc3NDYaGhggPD8eIESNU5lJfFZQrVw4nT57E3LlzsXjxYjRo0AD379+XOhZToPj4ePTr1w9eXl5o27Ytrl+/jsaNG0sdK0/Uqrhk69ChAyIjI+Hi4oK2bdvCx8enyE0/r4levHgBDw8PTJ06FePGjcPly5dRtWpVqWOpJC0tLfz444+4dOkS4uPj4ezsjPXr13NzsQY4f/48nJycsH//fmzduhUBAQEwNzeXOlaeqWVxAYASJUogKCgIK1aswLp16+Dq6orr169LHYvl086dO+Ho6Ij79+/jxIkTWLhwIXR1daWOpfLq1KmD8PBweHt7Y9iwYejatStiYmKkjsXyISMjAzNnzkSTJk1QunRpXL9+Hd7e3lLHyje1LS7AP6MqxowZg6tXr0JLSwt169bFsmXLVGp+HfZ1iYmJGDRoEHr27ImWLVsiMjISzZo1kzqWWjE2Nsa6deuwZ88enDt3Do6Ojjh27JjUsVgePHz4EA0bNsT8+fMxa9YsnD59GnZ2dlLHKhC1Li7ZatSogZCQEHz//fcYP348WrdujaioKKljsW+4fPkyatWqhV27dmHTpk34+++/YWFhIXUstdWlSxdERkaiRo0a8PT0xPjx45GWliZ1LPYVRAQ/Pz/UqlUL79+/x4ULFzBz5kxoa6vM/e35phHFBQD09fWxdOlSHD16FDdv3oSjoyP27t0rdSz2GZmZmZgzZw4aNmwIa2trXLt2DQMGDOBOewWwtbVFcHAwli5dilWrVqFevXq4deuW1LHYZ3z48AE9evTA4MGD0atXL0RERKBevXpSx1IYjSku2bKbVho1aoSuXbti6NChSEpKkjoW+5/Hjx+jSZMmmD17NqZPn45z586p/bQ1qkYmk2HcuHG4cuUKsrKyULt2baxcuZI7+1XIyZMn4ejoiJMnT2Lnzp3YuHEjTExMpI6lUBpXXADAysoKe/bswfr16xEQEAAXFxeEhoZKHatIIyJs2bIFtWrVQlRUFM6ePYvZs2erzZh9deTk5ITQ0FAMGzYMPj4+aNu2Ld68eSN1rCLt48ePmDx5Mjw8PFClShVERkaq3EO+FEUjiwvwT2f/kCFDEBERAVNTU7i7u2P+/PnIysqSOlqRExcXBy8vL/Tv3x+dO3fG9evX0aBBA6ljFQkGBgZYsWIFgoKCEBERAUdHRxw6dEjqWEXSnTt34ObmBl9fXyxatAjHjh1D6dKlpY5VaDS2uGSrXLkyLl68iEmTJmH69Olo3rw5nj17JnWsIuPMmTNwdHTE4cOHsW3bNmzevBmmpqZSxypy2rRpg8jISNSrVw8dOnTAqFGjkJKSInWsIoGIsHr1ari4uCAtLQ0hISGYOHEiZDLN/vrV7LX7H11dXcybNw+nTp3CkydP4OTkhG3btkkdS6Olp6fjxx9/RLNmzWBnZ4fIyEj07t1b6lhFWvHixXHgwAGsXr0amzZtQu3atREeHi51LI0WHR2NDh064Pvvv8fgwYMRFhamcY/l/pIiUVyyNWnSBJGRkWjTpg28vLzQr18/xMfHSx1L49y7dw/u7u747bffMG/ePJw8eRJly5aVOhbDP83FI0eORFhYGAwMDODm5obFixfzvWGF4PDhw6hZsyauXLmCgwcPYtWqVTA0NJQ6ltIUqeICAObm5ggICMCWLVuwf/9+1KpVCxcuXJA6lkYgIqxfvx4uLi5ISEjApUuXMHXqVGhpaUkdjf2Lg4MDLl++jHHjxmHKlClo2bIlXr58KXUsjZCamooxY8agbdu2qF27Nm7cuIH27dtLHUvpilxxAf45e+vbty+uX78OW1tbNG7cGD/99BMyMjKkjqa2YmJi0KVLFwwbNgze3t6IiIhAnTp1pI7FvkJXVxcLFy7E8ePHce/ePTg6OmLnzp1Sx1Jr169fR506dbB+/XqsXLkSgYGBsLGxkTqWJIpkcclmZ2eHM2fOYNasWZg3bx4aNWqER48eSR1L7Rw9ehQ1a9bE+fPnsXfvXqxbtw5GRkZSx2K51Lx5c0RGRqJFixbo2bMnBg8ejMTERKljqRVRFLF06VLUrVsX2traCAsLw+jRo4v0jcFFurgAgLa2NmbOnInz58/j3bt3qFWrFjZt2sQ3nOVCWloaxo0bh1atWqFmzZqIjIxE586dpY7F8sHCwgI7duyAn58fduzYAWdnZ1y+fFnqWGohKioKrVq1woQJEzB69GhcuXKlSD/ULluRLy7Z3NzccO3aNXTv3l0+keKHDx+kjqWybt68ibp162L16tVYtmwZgoODYWtrK3UsVgCCIGDgwIG4du0arKys0LBhQ8yZMweZmZlSR1NZe/fuRc2aNXHr1i0cPXoUS5YsgZ6entSxVAIXl0+YmJjIz9xOnDghn56B/T8iwooVK1CnTh2IoojQ0FCMHTtW48fsFyUVK1bEuXPnMG3aNMyePRtNmjTBkydPpI6lUpKSkjB06FB07dpVPgq1ZcuWUsdSKfyN8Bk9evRAZGQkKleuDA8PD0yePJkfJQvgzZs3aNu2LX744QcMHz4coaGhcHR0lDoWKwQ6OjqYM2cOzp49i6ioKDg5OWHr1q3cXAwgNDQULi4uCAgIwPr167F7925YWVlJHUvlcHH5gtKlS+P48eNYuHAhfH194ebmhjt37kgdSzIHDx5EzZo1ERERgaCgICxfvhwGBgZSx2KFrEGDBrh27Ro6d+4sf+xuXFyc1LEkkZWVhXnz5sHd3R1mZmaIiIjAkCFDinSn/ddwcfkKmUyGSZMm4fLly0hJSUHt2rWxZs2aInX2lpKSgpEjR6Jjx46oX7++/CZUVnSYmZlh8+bNCAgIwOHDh+Hk5ISzZ89KHUupnj17hmbNmmHGjBmYPHkyLl68iMqVK0sdS6VxcckFFxcXhIeHY+DAgRg1ahQ6duyI6OhoqWMVuvDwcLi4uOCvv/7CmjVrsH//fhQvXlzqWEwiffr0wfXr11G+fHk0bdoU06dPLxL3hm3btg1OTk549uwZTp8+jblz5/Js3rnAxSWXDA0NsXr1ahw4cAAhISHyyRg1kSiKWLRoEdzc3GBoaIjw8HCMGDGCL/8ZypUrh5MnT2Lu3LlYtGgR3N3dcf/+faljFYr4+Hh5U2Dbtm1x/fp1NG7cWOpYaoOLSx516NABkZGRcHZ2Rtu2beHj44PU1FSpYynMixcv4OHhgalTp2LcuHG4fPkyqlatKnUspkK0tLTw448/4tKlS4iPj4ezszPWr1+vUc3F58+fh5OTE/bv34+tW7ciICAA5ubmUsdSK1xc8qFEiRIICgrCihUrsG7dOri6uuL69etSxyqwnTt3wtHREffv38eJEyewcOFC6OrqSh2Lqag6deogPDwc3t7eGDZsGLp27YqYmBipYxVIRkYGZs6ciSZNmqB06dK4fv06vL29pY6llri45JMgCBgzZgyuXr0KLS0t1K1bF8uWLVPL2WUTExPlN45mPya6WbNmUsdiasDY2Bjr1q3Dnj17cO7cOTg6OuLYsWNSx8qXhw8fomHDhpg/fz5mzZqF06dPw87OTupYaouLSwHVqFEDISEh+P777zF+/Hi0bt0aUVFRUsfKtcuXL6NWrVrYtWsX/Pz88Pfff8PCwkLqWEzNdOnSBZGRkahRowY8PT0xfvx4pKWlSR0rV4gIfn5+qFWrFt6/f48LFy5g5syZ0NbWljqaWuPiogD6+vpYunQpjhw5gps3b8LR0RF79+6VOtZXZWZmYs6cOWjYsCGsra1x7do1DBw4kDvtWb7Z2toiODgYS5cuxapVq1CvXj3cunVL6lhf9eHDB/To0QODBw9Gz549ERERgXr16kkdSyNwcVEgT09PREZGolGjRujatSuGDh2KpKQkqWP9x+PHj9GkSRPMnj0b06dPx7lz52Bvby91LKYBZDIZxo0bhytXriArKwu1a9fGypUrVbKz/+TJk/Ipnnbu3Ik///wTJiYmUsfSGFxcFMzKygp79uzB+vXrERAQABcXF4SGhkodC8A/l/9btmxBrVq1EBUVhbNnz2L27Nk8Zp8pnJOTE0JDQzFs2DD4+Pigbdu2ePPmjdSxAAAfP37E5MmT4eHhgSpVqiAyMhLdu3eXOpbG4eJSCARBwJAhQxAREQFTU1O4u7tj/vz5yMrKkixTXFwcvLy80L9/f3Tu3BnXr19HgwYNJMvDNJ+BgQFWrFiBoKAgREREwNHREYcOHZI00507d+Dm5gZfX18sWrQIx44dQ+nSpSXNpKm4uBSiypUr4+LFi5g0aRKmT5+O5s2b49mzZ0rPcebMGflNn9u2bcPmzZthamqq9BysaGrTpg0iIyNRr149dOjQAaNGjUJKSopSMxARVq9eDRcXF6SlpSEkJAQTJ07k2bwLEX+yhUxXVxfz5s3DqVOn8OTJEzg5OWH79u1KWXZ6ejqmTZuGZs2awc7ODpGRkejdu7dSls3Yp4oXL44DBw5g9erV2LRpE2rXro2IiAilLDs6OhodOnTA999/j8GDByMsLAzOzs5KWXZRxsVFSbKf+dCmTRv06dMH/fv3R0JCQqEt7969e3B3d8fixYsxb948nDx5EmXLli205TH2LYIgYOTIkQgLC4OBgQHq1auHxYsXF+q9YYcPH0bNmjVx5coVHDx4EKtWrYKhoWGhLY/9Py4uSmRubo6AgABs2bIF+/btg5OTEy5cuKDQZRAR1q9fDxcXFyQkJODSpUuYOnUqtLS0FLocxvLLwcEBly9fxrhx4zBlyhS0bNkSL1++VOgyUlNTMWbMGLRt2xa1a9fGjRs30L59e4Uug30dFxclEwQBffv2xfXr12Fra4vGjRvjp59++ursskSE2NhYAEBsbOwXh3XGxMSgS5cuGDZsGLy9vREREYE6deoUynowVhC6urpYuHAhjh8/jnv37sHR0RE7d+786mtyexxcv34dderUwfr167Fy5UoEBgbCxsZG4evAvoGYZDIyMmjOnDmkpaVF9erVo4cPH+b4fWxsLPn6+pK9vT0BkP/Y29uTr68vxcbGyv/2yJEjVKJECbK0tKS9e/cqd0UYK4D3799T9+7dCQANGjSIEhIScvw+t8dBVlYWLVmyhHR1dcnR0ZFu3rwpwdqwbFxcVMClS5eoQoUKZGxsTH5+fiSKIgUHB5ORkREJgkCCIOQ4qLL/zcjIiA4cOEBjx44lANSyZUt69eqV1KvDWJ6Jokh+fn5kZGRE9vb2dOnSJSKiXB8H/v7+5OHhQQBo/PjxlJaWJvEaMS4uKiIhIYEGDhxIAKhhw4Ykk8lIJpPlOJj+/ZN9sOno6NCyZcsoKytL6tVgrEAePHhA9erVIy0tLerXr1+ejgMLCws6evSo1KvA/kcgUsF5GYqwTZs2YdCgQXl6jYGBAaKiovh5E0wjZGRkYPr06Vi8eHGeXmdoaIhXr17xcaAiuENfxcTHx+f5NWlpadi8eXMhpGFM+XR0dFCqVKk8vy41NZWPAxXCVy4qhIhQqVIlPH78OE8T/QmCgAoVKuDBgwc8qzFTe3wcaAYuLiokJiYG1tbWBXq9paWlAhMxpnx8HGgGbhZTIQWdnj8xMVFBSRiTDh8HmoGLiwoxNjYu0Ov5WRRME/BxoBm4uKgQS0tL2Nvb57m9WBAE2Nvb8+OJmUbg40AzcHFRIYIgYMyYMfl6rY+PD3diMo3Ax4Fm4A59FRMXF4fSpUsjNTU1V7PFymQyGBgY4OXLlzy+n2kMPg7UH1+5qBhzc3Ps3r0bgiB880FGMpkMgiBgz549fEAxjcLHgfrj4qKCWrVqhcDAQBgYGEAQhP9c5mf/m4GBAYKCguDp6SlRUsYKDx8H6o2Li4pq1aoVXr58CV9fX1SoUCHH7ypUqABfX1+8evWKDyim0fg4UF/c56IGiAinTp1CixYtcOLECTRr1ow7LVmRw8eBeuErFzUgCIK8Ldnc3JwPKFYk8XGgXri4MMYYUzguLowxxhSOiwtjjDGF4+LCGGNM4bi4MMYYUzguLowxxhSOiwtjjDGF4+LCGGNM4bi4MMYYUzguLowxxhSOiwtjjDGF4+LCGGNM4bi4MMYYUzguLowxxhSOiwtjjDGF4+LCGGNM4bi4qIGMjAzExcUBAN6+fYuEhASIoihtKMaUjI8D9cKPOVZhL168wO7duxEYGIhbt27h9evXsLCwQPHixeHs7IwePXqgZcuWMDY2ljoqY4WGjwP1xMVFBX38+BGbN2/G/PnzERUVhYoVK6J27dooW7YsRFHEkydPcPXqVbx8+RJubm6YP38+6taty499ZRqFjwP1xsVFxaSmpmLGjBlYvXo1qlWrhqlTp6Jly5YQRRGpqakAACMjI2RmZuLAgQNYuHAhEhMTsWbNGnTs2JEPLKYR+DjQAMRURlZWFs2ZM4d0dXWpW7du9OrVKxJFkURRpDFjxlDx4sWpePHiNH/+fPm/P3jwgJo1a0YlSpSgCxcuSL0KjBUYHweagTv0VcilS5ewdOlSuLu7Y82aNShZsqT8DCwhIQHR0dGIjo5GUlISAEAQBNjb2+PPP/9E8eLFMXnyZMTHx0u5CowVGB8HmoGLi4rIzMyEr68viAhz586FlZVVri7tBUFAuXLlMHv2bFy7dg0HDx5UQlrGCgcfB5qDi4uKePbsGU6fPo1mzZrB1dU1T23GgiCgZcuWcHR0xI4dO5CZmVmISRkrPHwcaA5tqQOwf1y/fh2xsbFo3bo1bt++jQcPHsh/R0R49uyZ/L/v3r2L3bt3y/9bJpOhcePGaNGiBTZv3ozY2FhYW1srNT9jisDHgebg4qIinj59CplMhkqVKmHz5s1YtmxZjt/TJ4P6du/ejT179sj/W1dXF8ePH0fVqlURHx+PDx8+8EHF1BIfB5qDi4uKSE9Ph0wmg56eHogox0H0OZ/+PvsuZT09PWRlZXFzAFNbfBxoDi4uKsLS0hKZmZl49+4dypQpgzp16uT4/ZMnT/D+/XsAQMmSJVGqVCn573R0dGBsbIy3b99CT0+P71RmaoeI8PTpUzx+/BgZGRl8HGgCSQZAs/84f/486evr05QpUyg9PZ1SU1PlPykpKdS3b18CQABoypQpOX6fmppKGRkZ8r+pUaMGDR06lNavX0/Xr1+njIwMqVePsRzevXtHQUFBNGvWLGrbti1ZWVnJ9+/sfbwgx0GtWrUoKSlJ6tUs0vjKRUVUr14d9vb2OHjwICZOnAgrKyv574gIWlpa8v/W1taGnp6efCQNEeHJkyc4efIkKleuDCcnJ1y+fBkbN26EKIowNDSEi4sL6tatK/8pX74838XMlCIlJQXh4eG4cuWK/OfJkycAAAsLC7i6uqJt27Z4+fIlLl68iLS0tAIdB6dOnULv3r1hZGSk3BVlOXBxURH6+vooUaIETp06hfXr12Py5Mk5DqSvyb43ICYmBtHR0Xj8+DE6dOiAGTNmwMrKChEREbhy5Qr27NmDpUuXAgCsrKxQt25duLq6yv+XOz9ZQWVmZuLWrVvyIhIaGoqbN28iKysLBgYGcHFxQefOnVG3bl2UKlUKJ0+exF9//YUjR47A3t4e06dPR0pKCn777bd8HwdpaWno379/Ia8p+xYuLirg9OnTGD58OB4/fgxbW1ssXrwYVatWRadOnSCTff1WpMzMTPj5+cHPzw9TpkzB6NGjsX37dvj5+aFXr16wsbFB37598dNPP6F69eqIjo5GaGio/MD//fff5W3YdnZ28isbV1dXuLi48Nkf+6LsK4VPC0lYWBhSU1Mhk8lQo0YN1K1bF99//z1cXV1RvXp1ZGRkYO/evdiwYQNOnjwJQ0ND9OzZE5s2bUKjRo0gCALev3+P06dP5+s4WL9+PZycnFC+fHnlfAjsyyRtlCvi3r9/T4MHDyYA1KBBA7p16xaFhYWRvb09WVlZ0e+//06JiYkkiiItWrSIPDw8yMPDg/78808SRZE+fPhAv/zyC5mamlLPnj0pPj4+x/tHRESQj48PWVpaEgBydXWl1atX04cPH+R/I4oiPXr0iLZt20bjxo2jhg0bkoGBAQEgmUxGjo6ONGTIEFq3bh1du3aN+2+KsOjoaDp06BD9/PPP1KZNG/l+BYDs7OyoV69e9Ntvv9HZs2dz9HeIokgXL16koUOHkqmpKQGgxo0bk5+fHyUmJn52Wfk9DpycnEhfX5/Kli1LBw8eVNZHwz6Di4sERFEkf39/sra2JjMzM/rjjz8oKytL/vvQ0FBydXUlXV1datSoEa1bt44iIiLo2bNn9PTpUwoNDSVfX1+qU6cOGRoa0tChQ+n9+/dfXF5aWhrt2rWL2rVrRzKZjPT09Kh379505MgRyszM/M/fZ2Rk0LVr12jdunU0ZMgQcnR0JJlMRgDIwMCAGjRoQOPGjaNt27bRo0ePSBTFQvmcmHSSkpLo7Nmz9Ntvv1HPnj2pfPny8kJiZWVFbdq0oZ9//pkCAwMpOjr6s+/x6tUrWrBgAVWtWpUAUJkyZWjGjBn08OHDXGW4cuUKGRkZkba2dp6Og8ePH1Pr1q0JAPXo0YOioqIU+dGwXOLiomSPHj0iT09PAkA9e/b84o7/9u1bmjNnDlWsWJF0dXXJ2NiYSpQoQTY2NmRkZERaWlpkbGxMO3bsoI8fP+Z6+VFRUbRw4UL5AV+6dGmaPn06PXjw4KuvS0pKonPnztGSJUuoV69eZGdnJ/+ysbS0pNatW9NPP/1Ehw4dordv3+bpM2HSSk9Pp4iICPrjjz/ou+++o5o1a+Y4mWjYsCGNHz+etm/fTo8fP/7qyURaWhrt3LmT2rZtSzKZjPT19alPnz509OjRz57IfM3+/fsJAPXv3/+Lx4GxsTE1atSIdu7cmeM4EEWRAgICqHjx4mRmZkZr1qzJcQLHCh8/z0VJMjIysGzZMsyaNQvW1tZYvXo12rVr983XvXv3DuHh4bh+/Tqio6Oho6ODcuXKQRAEjBgxAjt37kT37t3znIeIcOXKFfj5+WHbtm1ISEhAo0aNMHDgQPTo0QMmJia5yhYaGirvw7ly5QpiYmIAAOXLl88xYMDFxYXvO1ABRITHjx/n6CcJDw9HamoqtLS05P0k2T/VqlWDtva3u2YjIiLg5+cHf39/fPjwAfXq1cOgQYPQq1cvmJub5zlnVlYWatWqBWtra5w4cQIxMTGfPQ7q1KmDatWqwdDQ8LPv8+HDB0yePBkbN26Eu7s71q1bh+rVq+c5D8sHaWtb0XDlyhVycnIimUxG48aN+2I7c161atWKqlSpUuB+kJSUFPL39ycPDw8SBIGMjIxowIABdPr06Tw1eYmiSI8fP6bt27fT+PHjqVGjRmRoaCjvv6lZsyZ999139Mcff1B4eDilp6cXKDf7trdv39LBgwdp5syZ1Lp1a7KwsJBfcVaoUIF69+5NS5cupXPnzuX5vpDo6GhatmwZOTk5EQAqUaIETZo0iW7dulXg3Fu2bCEAdOnSpQK/FxHR6dOnqUqVKqSjo0MzZsyg1NRUhbwv+zIuLoUoISGBfHx8SBAEcnZ2pqtXryr0/cPCwggAbdy4UWHv+ezZM5ozZw5VqFBB/gU0Z84cevbsWb7eLyMjg65fv07r16+noUOHUq1atUhLS4sAkL6+Prm7u9PYsWMpICCAHj58yP03BZCYmEinT5+mxYsXU48ePahcuXLyQmJtbU3t2rWjWbNmUVBQEL179y5fy8jIyKADBw5Qly5dSEdHh3R0dKhr16508OBBhQ32+PjxI9nZ2VHnzp0V8n7Z0tLS6OeffyYdHR2qVKkSnTx5UqHvz3Li4lJI9u/fT6VLlyZDQ0NasmRJoY2y6tmzJ5UuXVrhZ2JZWVl05swZGjhwIBkZGZEgCOTh4UH+/v6UkpJSoPdOTk6m8+fP09KlS6l3797yQgaALCwsqFWrVjRz5kw6ePAgvXnzRkFrpFnS09MpPDyc1q5dS4MHD6YaNWrI+0kMDQ2pUaNGNGHCBPr777/pyZMnBS7at27dookTJ5KNjQ0BICcnJ/L19c13kfqa33//nQRBoJs3byr8vYmIbt++TY0aNSIANGjQIIqJiSmU5RR1XFwU7OXLl9S1a1cCQG3btqUnT54U6vLu3btHWlpatHTp0kJbRkJCAv3555/yA9LU1JSGDRtGly5dUtiVxrt37+jw4cM0e/ZsateuHVlbW8sLTrly5ah79+60aNEiOn36tMKaFdVF9mN8/f396YcffqD69euTvr4+ASAtLS2qVasWDRs2jDZs2ECRkZEKO5GJjY2l1atXU926deUDN3x8fCgiIkIh7/85SUlJZGNjQ/379y+0ZRD9c/K0bt06Mjc3JysrK9qyZQtfNSsYFxcFycrKolWrVpGJiQnZ2NjQ33//rbSddciQIWRlZUUJCQmFvqwHDx7Q9OnTqXTp0gSAHBwcaOHChQof7imKIj158oT+/vtvmjhxIjVu3DhH/02NGjVo8ODBtGbNGgoLC9Oo/ps3b97QgQMHaMaMGeTp6UnFihWTF1p7e3vq06cPLVu2jC5cuEDJyckKXXZmZiYdOXKEevfuTXp6eiSTyahdu3a0a9cuSktLU+iyPmfevHmko6NT6Cdl2V6/fk29evUiANSyZctcD5Nm38bFRQEiIyPJzc2NANCwYcNy3KSoDC9evCA9PT2aNWuW0pb57y8hLS0t+ZdQXoZG50VGRgZFRkbShg0baNiwYeTs7Jyj/6Z+/fr0ww8/kL+/P92/f18tzkQTEhLo1KlTtHDhQurevTuVLVs2Rz9J+/btac6cOXT48OFCbb7590lD1apVC+Wk4Ws+fPhA5ubmNGbMGKUtM1tgYCCVK1eO9PX1acGCBRp1siIVLi4FkJKSQtOmTSNtbW1ycHCgs2fPSpZlwoQJZGxs/MUb2gpTbGwsrVmz5j/NJ+Hh4YW+7OTkZLpw4QItW7aM+vTpQxUrVpR/ORcrVow8PT1pxowZdODAAXr9+nWh5/majx8/0tWrV2nNmjU0aNAgql69OgmCQADIyMiImjRpQhMnTqQdO3bQ06dPC704fq65c/jw4XT58mVJCvOUKVPIyMhIsn62pKQkmjBhgnxmisuXL0uSQ1Nwccmn48ePy2/smj17tlKaDL7m3bt3ZGJiQuPGjZM0x82bN5XW8fslMTExFBwcTHPmzKH27dtT8eLF5QWnTJky1K1bN1q4cCGdOnWq0JoSRVGk+/fv09atW8nHx4fc3NxIT0+PAJC2tjY5OzvT8OHDaePGjXTjxo0832BYkFynT5+mAQMGKHygRkFERUWRgYEBTZ8+XbIM2cLCwqh27dokCAKNGTPmP9Mqsdzh4pJH7969o/79+xMAatKkCd29e1fqSHJz5swhPT29fA8bVqT09HT5kFVtbe1CGbKaW6Io0rNnz2jnzp00adIkatKkCRkZGREAEgSBqlevTgMHDqTVq1fT1atX89Ws9/r1a9q/fz9Nnz6dWrZsSebm5vKCVrFiRfLy8iJfX1+6ePGiJF/iih5irmgjR44kCwsLiouLkzoKEf3TBLt06VIyMjKiUqVK0d69e6WOpHa4uOSSKIr0119/kaWlJRUrVow2btyocm36CQkJZG1tTYMHD5Y6Sg7R0dHk6+v7n5vtbt++LVmmzMxMunHjBm3cuJFGjBhBLi4upK2tTQBIT0+P3NzcyMfHh7Zs2UL37t3LMXVIfHw8nTx5khYsWEBdu3alMmXKyAuJjY0NdejQgX755Rc6cuTIV+d8K2yfuzl24MCBdPr0aZWaCuXhw4ekra1NixYtkjrKfzx9+pTatWtHAKhLly708uVLqSOpDS4uufDgwQNq0aIFASAvLy+VnjvL19eXZDIZ3blzR+oonxUeHk5jxoyR3yler149Wrt2LcXGxkodjVJSUujixYvk6+tL3t7eVKlSJXnRMDAwIFtb2xxPTDQ2NqamTZvS5MmTaefOnfTs2TPJTzhEUaTLly/T8OHDyczMjABQo0aN6M8//1TKaML88PLyIltbW0mb5b5GFEXasWMHlShRgkxMTOj3339XWjOmOuPi8hUfP36kuXPnkr6+PpUvX56Cg4OljvRNaWlpVLZsWerevbvUUb7qaxMcSnVWnZWVRXfv3qUtW7bQmDFjqF69eqSjoyMf/mxmZiZ/HAH+N+ln165dacGCBXTy5ElJ2+azJyR1cHDI04SkUrt+/ToJgkBr166VOso3xcbG0vDhw+UnRdevX5c6kkrj4vIFFy9epBo1apCWlhZNmjRJrZ7H7efnRwAoNDRU6ii5kj01e5UqVfI1NXt+RUVF0b59+2jatGnk4eEhP9MHQJUqVSJvb29avnw5Xbp0ST4DgiiK9Pz5c9q1axdNnjyZmjZtSsbGxvL+GwcHBxowYACtWrWKQkNDC21YNtE/Jz/Zj1LQ0tL65qMUVFH79u2pYsWKajX099y5c+Tg4EDa2to0depUlb3ikhoXl3+Ji4ujUaNGkSAIVKdOnUK9G7mwZGZmkoODA7Vs2VLqKHkiiiJdunSJhg0bluuHSuVWfHw8nThxgubPn09dunShUqVKyQtJiRIlqGPHjvTrr7/S0aNH83yfUmZmJt26dYv8/Pxo5MiRVLt2bXn/ja6uLtWrV49Gjx5Nmzdvprt37xb4yuzfD4GrW7curVmzRun3VxXU+fPnCQBt27ZN6ih5lpaWRnPmzCFdXV2yt7enY8eOSR1J5XBx+R9RFGn37t1ka2tLxsbGtHz5crU5+/uc3bt3EwC1nZwvOTmZtm7dSi1atMjRGX3mzJlv9mukpaXRlStX6Pfff6f+/fuTg4OD/H4SExMTatasGU2ZMoV2795NL168KJR+ktTUVLp06RKtWLGC+vbtS5UrV5YXMzMzM/Lw8KBp06bR3r176dWrV998v3fv3tHy5cupVq1a8oEDEydOLLT5twqbKIrUqFEjqlWrlkoNLsire/fuUdOmTQkA9evXT5L7zFQVFxciev78OXXs2JEAUMeOHen58+dSRyowURTJ1dWV6tWrJ3knc0E9ffqUZs+eLX9Amb29Pf3yyy/0/PlzysrKojt37tBff/1Fo0ePprp165Kuri4BIB0dHapTpw6NGjWKNm3aRLdu3ZL0hOHDhw909OhR+vXXX6lTp05UokQJecEpVaoUdenShebPn08nTpyguLg4ysjIoIMHD1LXrl1JR0eHtLW1qUuXLnTgwAG1akb6nKCgIAJAgYGBUkcpMFEU6c8//yQLCwuytLSkTZs2qf0xpwhFurhkZmbS8uXLydjYmEqWLEm7d+/WqJ3i+PHjBID27dsndRSFyMrKoh07dlDTpk3lHe3Z078AoCpVqlC/fv1oxYoVdPnyZZV/ZocoivTixQvavXs3TZkyhZo1a0YmJiby9cleN1tbWxo3bhy9ePFC6sgKkZWVRbVq1aJGjRpp1PH29u1b8vb2JgDUvHlzun//vtSRJFVki8u1a9fI1dWVBEGgUaNGqczNW4rWokULqlatmlo28cXFxdHx48dp3rx51LlzZ7K1tc1xP0mtWrXkzywxNTWlESNGUEhIiFp+YcXFxdHatWvlU+gYGRlRzZo1qVq1avJCqqurS66urvT999/TX3/9RXfu3FHLJqVt27YRADp//rzUUQrFkSNHyM7OjvT09OjXX38t1EEdqqzIFZfk5GSaPHkyaWlpUfXq1enChQtSRypUISEhBID++usvqaN8VVpaGoWEhNDKlSupX79+8pFj2f0kzZs3p6lTp9KePXv+cyPb/fv3adq0afJO+mrVqtHixYsln0vsW7KysujYsWPk5eVF+vr6JJPJqG3btrRz584c0wmlpqZ+8bMxNTWlFi1afPGzUTXp6elUsWJFateundRRClVR+575nCJVXIKDg+VnFHPnzi0yZxRdu3al8uXLq8z6ZmVl0e3bt2nTpk00atQocnV1lZ+d6+jo5PvsPDMzk4KDg6lXr17ymZrbt29Pu3fvVpl1J/rnjvQZM2bI7+yvUqUKLViwIFcd+9liY2Pp2LFj8qu6kiVLyguOra0tde7cmebNm0fHjh1TiRtUs/3xxx8kCEKRuUfk2rVrVLduXRIEgUaOHKmxLSSfUySKy9u3b8nLy6vItoXevn2bZDIZrVy5UunL/rRfYerUqdS8eXP5MOPsqd379+9Pv//+O4WEhChsAtAPHz7Q6tWrydXVlQCQlZUV/fDDD3Tt2jWFvH9eJSYmkp+fHzVu3DjHA9cuXryosGa8ly9f0p49e2jq1KnUokWLHJ9zdn/UypUrFfo550VKSgrZ2tqSl5eX0pctpczMTFqxYoW8b3fXrl1q2XSbVxpdXERRpI0bN1KxYsXI0tKS/vrrryKxUT9n4MCBVLx48UJ/imP2GfXcuXOpU6dOOc6os0dEzZs3j44fP660s7gbN27QhAkT5LMjOzs704oVKwr98baiKNLZs2dp0KBB8okyW7RoQVu3blX4Q74+59ORdN9//z25urp+cSTd7du3C73/ZtGiRaStrV1kH8j1/Plz6tSpEwGgDh06aMSo1K/R2OJy9+5d+fjz/v37K3XKd1X09OlT0tXVpV9//VVh75mamkqXL1/+7L0c2X0BP/74I+3du1cl+gLS09Np//791LlzZ9LW1iZdXV3q3r07BQYGKnSm5ufPn9Ovv/4qf7aMnZ0dzZ49m54+faqwZeTXv+8Bqlq1ao6+rcK6ByguLo4sLCxoxIgRCnk/dbZnzx6ytbUlIyMj8vX1VcvBNrmhccXl48ePfOfsF/zwww9kamqarzP2z92F/ukoprp16yr0LvTC9vbtW1q2bBk5OjoSACpZsiRNnjw53xN+pqSkUEBAAHl6epIgCGRoaEj9+/enU6dOqfxnERcX98XZC0qWLEmdOnXK9+wF2WbMmEEGBgZ56lfSZJowE8i3aFRx+XTOnx9//JHn/PmXt2/fkpGREU2aNOmrf/fv+bM+vf/ic/NnSf2gtIIQRZHCwsJo9OjR8mfVu7m50R9//PHNZjtRFCkkJIRGjBghn5esYcOGtHHjRpWdgTi3Xr58SXv37v3svGuVK1emvn370ooVK3LMu/Ylb968ISMjI5oyZYqS0qsPdZ7D8Fs0orjExsbSsGHD5F8MkZGRUkdSWTNnziR9ff0czVQfPnygI0eO0K+//kodO3bMcef4pzP/Zt85rqnS0tJox44d1KZNG5LJZGRgYEDe3t50/PjxHFcfr1+/psWLF1O1atXkfUnTpk3T6IEi2TNGb968mUaPHk316tWT999oa2tT7dq1aeTIkeTn5/efmRDGjBlDZmZmajf3mbKkp6fTvHnz5LOvHz58WOpICqHWxUUURfr777/lz1lYtWqVxrZfKsrr16/JzMyM3N3d//PMEjMzM2rZsiVNmzaN9u3bV6SbMF6+fEnz58+X9yOVK1eOevbsSc2bN5fPQNyrVy8KDg4usvvcx48fKTQ0lFatWkUDBgzIMYdb9rNuhg8fTlpaWjR58uQiO5gmtz59blSfPn3ozZs3UkcqEIGICGro2bNn+P777xEYGIiuXbtixYoVKFWqlNSxVEpWVhbu3r2LK1euyH8iIyORmZkJAHByckLjxo1Rt25d1K1bFxUrVoRMJpM4tWq5du0a5s2bhwMHDuDjx48AgEqVKmHs2LEYMGAAjIyMJE6oWhISEhAWFibf34KDg5GSkgIAsLGxke9rdevWhaurK4oVKyZxYtVCRNi6dSvGjRsHURSxePFiDB48GIIgSB0t7yQubnmWkZFBS5YsIUNDQypVqpTGzJtVUJ97TvynzxmpVq2a/Dnx58+fp1KlSlHv3r2ljq2SYmJiaMWKFeTs7EwAqHjx4jRhwgS6cuUKbdmyhZo3by4/Ox88eDCdO3eOz8o/4+bNmyQIAs2dO5f2799P06dPp5YtW5K5ufl/npvj6+tLFy9e5H7S/3n37h0NGDBA/tgJVX2y7NeoVXEJCwsjFxcXEgSBxowZI+mT/6T2/v17Cg4Opjlz5lCHDh3IxsZGfsCWKVOGunXrRgsXLqRTp0599nNat24dAdDIUSr5kZGRQYGBgdS9e3fS1dUlbW1t6ty5M+3fv/+zMxA/efKEZs2aReXLl5d/Sc6dO1djJpdUhM6dO5Odnd1/ZkfIysqie/fu0datW8nHx4fc3NxIT09P3n/j4uJCI0aMoD///JNu3LhRZJsdif6ZfLZixYqkq6tLs2fPVqvBM2pRXBITE2n8+PEkk8nI0dGRLl++LHUkpUpJSaELFy6Qr68veXl5ye+fAEDm5ubk6elJM2bMoP3791NUVFSu3jMjI4MqV65Mbdu2LeT0qu3OnTs0efJk+c2eNWvWpKVLl9Lbt29z9fqsrCw6efIk9evXjwwMDEgQBPL09KRt27ap/KzMheny5csEgLZs2ZKrv//48SNdvXqVVq9eTQMHDqTq1avL+2+MjIyoSZMmNGnSJNq5cyc9e/asSF0ppqSk0LRp00hbW5uqVq1KZ8+elTpSrqh8cQkMDKRy5cqRgYEBLVy4UO2fY/EtmZmZFBkZSRs3bqThw4eTs7Oz/KmGenp6VL9+ffLx8aGtW7fS/fv3C3SQ/f333wRAbXZWRYmLi6M//viD3NzcCAAVK1aMRo8eTVevXi3Q5xkfH08bNmygBg0ayAv/yJEj6cqVK0Xqy1AURWrWrBnVqFGjQFcdCQkJdOrUKVq4cCF169ZNPhdbdlNl+/btac6cORQcHEzv379X4Bqophs3blD9+vUJAA0dOlTlR9+pbHF5/fo19ezZkwCQp6cnPXr0SOpICieKIj19+pR27NhBEydOpMaNG8unCREEgapXr06DBg2iNWvWUFhYmMInX8zKyiJnZ2dq0KCBxn/5ZWVl0fHjx8nb25sMDAxIJpNRmzZtaMeOHYXS1HDv3j368ccf5TckVq9enX777Te1HwGUG0ePHiUAtH//foW/9+vXr+nAgQM0Y8YM8vT0zNF/Y29vT3369KFly5bRhQsXNLL/Jisri1avXk2mpqZkY2ND27dvV9ljV+WKS1ZWFv3xxx9kbm5O1tbWtHXrVpX98PIqJiaGDh8+TLNnz6Z27drJ57oCQGXLlqXu3bvTokWL6PTp00q7Ce/w4cMEgA4dOqSU5Snb48eP6aeffpI/96Vy5co0f/58pU1Hk5mZSYcPH6aePXuSrq4uaWlpUceOHWnv3r0qNVOzooiiSHXq1KH69esr5bgVRZHu379P/v7+9MMPP1D9+vXl/TdaWlrk7OxMw4cPpw0bNlBkZKTG9N+8evWKunXrRgCoTZs29OTJE6kj/YdKFZfbt29Tw4YNCQANGjSo0CcWLEzJycl0/vx5Wrp0KfXp04fs7e3lhaRYsWLUqlUrmjlzJh08eFDSs1lRFKlJkybk5OSk8tOU5FZSUhJt2rRJPreciYkJDR06lC5cuCDpicr79+9p1apVVKdOHQJA1tbWNHbsWI2afn7Xrl0EgE6fPi1ZhvT0dAoLC6O1a9fS4MGDqUaNGjn6bxo3bkwTJ06kv//+m548eaLWJ6/79++n0qVLk6GhIf32228KnSOvoFSiuKSmptJPP/1EOjo6VKlSJTp58qTUkfIkMzOTrl+/Ths2bKBhw4ZRrVq15I+o1dfXJ3d3dxo7diz5+/vTgwcPVG5nvnjxIgGggIAAqaPkmyiKdO7cORo8eLB8CHbz5s1py5YtSpmBOK8iIyNp/PjxZG1tTQDIxcWFVq5cqdZ9BxkZGVS1alVq1aqV1FH+IyEhgU6fPk2LFi2i7t27y69ks4t8u3btaPbs2XT48GG12wYJCQnk4+NDgiCQs7MzXb16VepIRKQixWX69Omko6NDM2fOVMsRNrGxsQSAZDIZ1axZkwYPHkxr166l8PBwtRmA0KFDB6pRo4bKFb7cunr1KgGg8uXL06xZs1SymeBz0tPTad++fdSpUyfS1tam9u3bSx0p33bu3EkAKCwsTOooufLmzRs6ePAgzZw5k1q1aiWfW27cuHFSR8uXkJAQcnJyIiMjI5Xo7FfaHfoNGzbEuHHjcOjQIWRmZqJx48Zo2rRpnu48rVixYiEm/LqGDRti7dq1CA0Nxfnz55GSkoIOHTqgbt26uX4PKfMD/6zDpk2b8v36NWvWYMmSJYoLlEefyy+KImbMmIGOHTvCzc3tm++hittg9erVMDY2Rv/+/XP1HlIfB5/m//PPP5GYmIhRo0ZBR0cnV++hitsgL1avXo2lS5cqLlAeFTT/77//Dl9fX4Xl+RLtQl/C/8TFxSEoKAh9+vSBjo4ODhw4gCNHjmDr1q3Q19dXVox8i4uLw5QpU+Dg4IBevXrB0NAQvr6+SEhIwIgRI6SOlytxcXH5PrCvXLmCwYMHKzhR3nwuf48ePTBixAjMnDkTjo6OcHR0lChd7vx7HWbOnAktLS2cO3cOY8aMgbW1tYTpvu3T/MePH0dCQgJatGiBIUOG4MKFCxKny52CHAdhYWEqeRzk1o0bNzBo0CAFJ/oCZV0iVa9ePUeTiyiKdPLkSapdu7ZajJqpXr06xcXF5ViHrKws8vLyoq1bt0qYLPeqV6+e79caGhoqMEn+VK9e/T/TYAiCQET/3IRnbm6u8s16n26Da9euUYsWLUgURcrIyKBSpUpJmCx3Ps2vra0t/7xHjhypNk+YLMhxYGRkpMAk+VOQ/Kampko7RpQ6S+GnTWCCIKBZs2ZYtWoVGjVqhKysLGVGyRczM7Mc6yCTybB161Zs3rwZu3btAqnnHKC5kj35oNTc3Nzkn3N8fDw2btwIANDV1cXp06cxZswYKePlSnh4OI4ePYpu3bohODgYgiBAW1sbJUuWlE8qquqePXuGZcuWyY+HVatWoXbt2hKnKnyqchzkV3JystImwZR8Ctx69erh119/haenp9ocWJ8SBAFBQUEIDAzEd999h+vXr2tckcnMzMScOXOkjgEA2LdvH3bu3Ilz586hSZMmGDhwoPx3Tk5O8PPzU/nPPyAgAGfOnEFoaCi0tf+/Zfrs2bPo3LmzdMHyoE6dOvj+++/l/y0IAurXry+fOVoTpaSkKKWvorC8fPkSO3bsUN4ClXJ9RN++lDt48CA1adJEJYeNEn07vyiKdPXqVerRowctXLhQSanyJr+X03379lWJ5qbs/I0aNaJp06ZRUFDQf/4me+ocVZXdPPylz7NMmTKUkJDw1b+RUnZ+Gxub//wuIyOD3NzcJEiVN/k9DurWrasS2yS/+UuUKKHU/Err0P+W9u3bo1ixYmjYsCHOnj0LY2NjqSPliSAIqF27NrZv346+ffsiIiICzs7OUsdSiK1bt2LLli1Sx5A7efIktLS0Pnt5X7NmTTg5OUne6fo1X2uWuHbtGlq3bg1HR0eYmJhg4cKFKvcsjwkTJiA8PPw//66trY2HDx+CiFQusyJcuXJFrdcrJiZGqfklbxb7VIMGDbBlyxbUrVsXoihKHSdfZDIZ/P394e7uLnUUhSAiVKhQQeoYOWhra3/1IBkyZAgSEhKUmEhxLCwssH//fowdOxaNGjXCd999J3Wk//j9999ha2v72d9FRERg+PDhSk5U+J4/f47Vq1dLHSPfIiMjERgYqNRlqlRxAYDq1atjw4YN6Nixo9RR8k0QBKxevRpnz56VOkqBLVmyBCEhIVLHyJO1a9fm6f4jVWNlZYUqVaqgQ4cOOHTokMr1IZ0/f/6LvytdujQuXLiA6OhoJSYqfLVr11abWw4+p0GDBmjZsqVSl6lyxQUA3N3dUbVqVRw9elTqKPk2cOBAeHh4SB0j32JjYxEWFoaFCxfCyspK6jh5IpPJYGJigvj4eKmjFFh4eDiWL18udYwcvlW4Q0ND4erqqvYjq7IRETIyMtS2SUwURdja2io9v0oWFwBYvHgxunTponJnbbklCAL69u2rls0zFy5cQM+ePbF161bcuHFD6jj5cu7cObi4uKjt/pOtdOnSGDdunNQx8sTQ0BAHDhxAo0aN8Pr1a6njFNjFixdx6dIlqWPk23fffYcrV64ofbkqW1wEQcD58+fV7sD61IYNG9Sueebt27cYNGgQ9u/fj6VLl6JEiRJSR8oXfX19TJ8+HVOnTpU6SoH17NkT6enpUsfIEycnJwQEBKB9+/YIDQ2VOk6BeHh4wMHBQeoY+SKKIvbt2wczMzOlL1tliwsAODs7Y9u2bWrduZ+UlKQ2Z8+pqamoW7curl69CkNDQ7VtBsg2aNAgREVFKb0jU9ECAgLQunVrqWPkWZUqVXDy5ElMmDABJ06ckDpOvhBRrudMU6a3b99+83uFiNCpUydcu3ZNOaH+RaWLC/DP0MwBAwZIHSPfwsPD1aIjMDk5GQ0aNMChQ4dgamoqdRyFEAQBmzdvho+PD96/fy91nHzT0tJCVFSU2l29AP/ManHixAmMGjUKUVFRUseRu3Llyhdv2iYi7N69G9u3b8eyZctUckDLiBEjMHjwYOzfvx9xcXE5fkdEeP36NUaOHAl3d3eUK1dOkowqX1xKliyJwMBAtTn7/7fixYtj27ZtKpM/KCgI69evx4ULFxAVFQVRFPH69Ws0bNgQ69evR82aNaWOqFCCICAiIgK1atVSmW2QH1evXkWTJk3Uch10dHRw9epVldoGmzZtQteuXeHn54eYmBiIoggiQnp6On777TecOHECDx8+RFRUlEo2ie3cuRNTpkzBnTt34O3tjUWLFiEjIwMpKSn46aefMGTIEHTq1EnSZmGlTblfo0aNfHcOP336FHv37sX48eMVnCr3CpL//v37CAoKkrz/qEaNGhg4cCBKliyJW7du4enTp9DW1saLFy+wZs0aVKlS5ZvvIWVTWUG2wf79+/Hq1ascU5ZIoSDrMH/+fFhYWEh6JVyQ/EePHsXDhw9VZhtER0dj165dOHLkCExNTaGtrY24uDg4Ojpi9uzZX30PVToOPn78iPXr1+PIkSP4+PEjBgwYgF69euWYWujflJFfaXfoe3t7F2jEReXKlRWYJu8Kmr9SpUoKTJM/3t7e8ps77ezsQER48eIFbGxs8OHDh1ytn5Q3hxZkGxQvXhy6uroKTpR3BVmHpk2bSj68uiD5TUxMYGdnp+BEeffpOjg7O6NmzZqIjo5GZmYmzMzMYGZm9s11VLXjoHbt2ihbtix0dHRgbm7+zUEUysivtCsXRSxGyrMFdc8PqP86qHt+QP3XQd3zA+q/DuqSX2l9LoIgfPEnJCQEMpkMAQEBX/07KX0t19y5c6Gvr48XL16obP5vrcOOHTsgk8lw8eJFlV2Hr+UaOnQobGxskJSUpLL5v7UOixYtgp6eHp4+faqy6/C1XC1btkTNmjUhiqLK5v/WOowaNQpWVlZISEhQ2XX4UqasrCw4ODigXbt2X82utPxKmBwzVzp16kQVKlRQiweHfSomJoZMTU1p7NixUkcpkKysLKpVqxY1bNhQJWZ+zYs7d+6QTCYjX19fqaMUSHJyMpUsWZL69esndZQ8O3bsGAGgffv2SR2lQF69ekUGBgY0c+ZMqaPk2YYNGwgAhYeHSx2FiIhUprjcuHGDBEGgVatWSR0lTyZOnEjGxsYUHR0tdZQCCwoKIgAUGBgodZQ86d69O5UtW5bS0tKkjlJgq1evJkEQKDIyUuoouSaKIrm6upKbm5vanZh8zuTJk8nIyIjevHkjdZRcS01NpdKlS1OvXr2kjiKnMsWFiKhfv35UokQJSkpKkjpKrrx8+ZL09fXpp59+kjqKQoiiSI0aNSInJyfKysqSOk6uXL16lQDQn3/+KXUUhfj48SNVqFCBOnbsKHWUXNu9ezcBoJMnT0odRSHev39PZmZm5OPjI3WUXFuyZAlpaWnR/fv3pY4ip1LF5fHjx6Sjo0Pz58+XOkquDBs2jCwtLSk+Pl7qKApz/vx5AkDbtm2TOkqueHp6koODA2VkZEgdRWH8/f0JAF28eFHqKN+UmZlJDg4O5OnpKXUUhZo7dy7p6urS06dPpY7yTfHx8WRpaUnDhg2TOkoOKlVciIhGjx5N5ubm9OHDB6mjfNX9+/dJS0uLlixZInUUhWvfvj1VrFiR0tPTpY7yVSdPniQAtHv3bqmjKFRWVhY5OjpSkyZNVL6Zyc/PjwDQ1atXpY6iUElJSWRjY0MDBw6UOso3/fzzz6Svr08vX76UOkoOKldc3rx5Q4aGhjR16lSpo3xVr169qHTp0pSamip1FIW7fv06CYJAa9eulTrKF4miSPXq1SNXV1eV/wLOj4MHDxIACg4OljrKF6WlpVHZsmWpe/fuUkcpFCtXriSZTEa3bt2SOsoXRUdHk7GxMU2cOFHqKP+hcsWFiGjatGlkYGBAUVFRUkf5rPDwcAJA69evlzpKofHy8iJbW1tKSUmROspn7du3jwDQsWPHpI5SKERRJHd3d3JxcVHZ/i9fX1+SyWR0584dqaMUio8fP1L58uWpS5cuUkf5orFjx5KpqSnFxMRIHeU/VLK4xMbGUrFixWjUqFFSR/msNm3aUOXKlTWqnf/fHj58SNra2rRo0SKpo/xHZmYmVa9enVq0aCF1lEJ19uxZAkA7duyQOsp/JCQkkLW1NX333XdSRylUmzdvJgAUEhIidZT/ePbsGenq6tIvv/widZTPUsniQkS0cOFC0tbWpkePHkkdJYczZ86o7AGvaCNHjqRixYpRbGys1FFyUOUDXtFU9URmzpw5pKenR8+fP5c6SqFS5ROZwYMHU/HixSkxMVHqKJ+lssUl+4Yyb29vqaPIqUNThSJFRUWRgYEBTZ8+XeoocurQVKFIqtgE++7dOzIxMaFx48ZJHUUpVLEJ9vbt2ySTyWj58uVSR/kilS0uRERr165VqRvKsjtZjxw5InUUpZk6dapK3VCmDp2sita7d2+VGjwyYcIEMjEx0Ygbh3NDFEVyc3NTqcEj3bp1o3Llyqn0jcMqXVzS09OpYsWK1KFDB6mjUFZWFtWsWZOaNm2qMjuYMnz48IHMzc1pzJgxUkehxMREtRkeqkiqNOz9xYsXpKenR7NmzZI6ilKdOnVKZYa9X7lyhQDQpk2bpI7yVSpdXIiIAgICCACdP39e0hxbt24lAHTp0iVJc0hh3rx5pKOjQ48fP5Y0x6+//qo2N7YpmqrcsDtkyBCysrKihIQESXNIwdPTk6pWrSp5/5eHhwdVq1aNMjMzJc3xLSpfXLKyssjJyYkaN24s2RWDOk7JoUjZN5T1799fsgzqOCWHIqnCVEP37t0jLS0tWrp0qWQZpKQKUw2dOHGCANCePXsky5BbKl9ciIgCAwMJAB0+fFiS5WdPJnjjxg1Jlq8KVq1aRYIg0M2bNyVZfvZkgm/fvpVk+apg0qRJkk6S2rNnTypTpozK9P1IoUePHpJNkiqKItWtW5fq1q2rFk3zalFcRFGkhg0bkrOzs9JHaSUnJ1OJEiXUchp0Rfr48SPZ2dlR586dlb7s7LN2dZwGXZGkfLxDWFgYAaCNGzcqfdmq5O7du6SlpSXJ4x327t1LAOjEiRNKX3Z+qEVxISI6d+4cAaDt27crdbnz589Xif4GVbBlyxZJ+p2GDx9OFhYWFBcXp9TlqqJffvlFkn6nVq1aqUR/gyr47rvvlN7vlJmZSdWqVSMPDw+lLbOg1Ka4EBG1bduWKlWqpLQJFbNHSn3//fdKWZ6qy8zMpBo1alCzZs2Udln+4MED0tbWpsWLFytleaouMTGRihcvToMGDVLaMk+fPk0AaOfOnUpbpip7/vw56enp0ezZs5W2zE2bNhEAunLlitKWWVBqVVyuXbtGAGjdunVKWd6PP/5IhoaG9Pr1a6UsTx0cOHCAANDRo0eVsrw+ffpQqVKlVHaOMymsWLGCZDIZ3b59u9CXJYoi1a9fn2rXrq0W7fzKMn78eDIxMaF3794V+rLS0tKoXLly1K1bt0JfliKpVXEhUt6XTVRUFBkaGtK0adMKdTnqRplfNhEREUo9mVAXyvyyUfbJhLrInqVgwoQJhb4sZZ5MKJLaFRdlNZOMGjVKJefVUgXKaibJbgbldv7/UkYziRTNoOpk1qxZhT6/WmJiIllbWyu1GVRR1K64EBV+B++jR49IW1ubFixYUCjvrwlatWpFVapUKbQvfqkGcKgLZXTwSjWAQ10kJCSQlZUVDRkypNCWkT2A49mzZ4W2jMKilsXl1atXhTo0tW/fvlSyZElKTk4ulPfXBIU5NFXKoefqpDCHpko59FydLFu2jLS0tOjevXsKf28ph54rgloWF6LCu6kuMjKSBEGgNWvWKPR9NVFh3VQn9U2z6iL7aZyFcVOd1DfNqovU1FQqU6YM9ezZU+HvLfVNswWltsWlsKYD6dChA9nb26v88+NVQWFMB6IK0/2ok8KYDkQVpvtRJxs3biQAFBYWprD3VIXpfgpKbYsLEdHcuXMVekPZhQsXCAAFBAQo5P2KgqFDhyr0hrLsiUovXLigkPcrClq2bKnQiQyzJyp98uSJQt5P02VkZFDVqlWpVatWCntPVZmotCDUurhkn2EpYgp2URSpcePG5OTkxO38eaDIKdjT09PJ3t5eJR6xoE5CQ0MVNgW7Kj1iQZ3s2rWLANCpU6cK/F6q9IiFglDr4kKkuIdHHT58mADQoUOHFJSs6JgwYYJC2obXrFmjUg+HUyfdunVTyISKU6ZMUamHw6kLURSpTp065ObmVuDm3F69eqnUw+HyS+2LiyIee5uVlUXOzs7UoEEDbufPB0U89lYVH2utThTx2FtVfKy1Ojl69CgBoP379+f7PVTxsdb5pfbFhYho8+bNBIBCQkLy9fq///6bANC5c+cUnKzomDNnToFuKFu4cCFpa2vTo0ePFJys6Bg8eDBZW1tTYmJivl4/cuRIniC0AERRpObNm1ONGjXy3f/Vpk0bqly5skbcOKwRxSUzM5OqV69OLVq0yPNr09PTqVKlStS2bdtCSFZ0JCQkkLW1NX333Xd5fm1sbCwVK1aMRo0aVQjJio5nz56Rrq4u/fLLL3l+7cOHD0lbW5sWLVpUCMmKjsuXLxMA2rJlS55fe+bMGQJAO3bsKIRkyqcRxYWIaN++fQSAjh07lqfXrVu3jgBQRERE4QQrQnx9fUkmk9GdO3fy9Lpp06aRgYEBRUVFFVKyomPs2LFkampKMTExeXqdl5cX2dra8gShCtC5c2eys7Ojjx8/5vo1oiiSu7s7ubi4aMyAIo0pLqIokpubG7m6uua63yQlJYVKlSpFvXv3LuR0RUNaWhqVLVuWunfvnuvXvH79mgwNDWnq1KmFmKzoiI6OJmNjY5o4cWKuX3P9+nUSBIHWrl1biMmKjps3b5IgCPT777/n+jUHDx4kABQcHFyIyZRLY4oLEdGpU6cIAO3evTtXf//bb7+RtrY2PXjwoJCTFR1+fn4EgK5evZqrvx89ejSZm5vThw8fCjlZ0fHzzz+Tvr4+vXz5Mld/3759e6pYsSLfOKxAAwYMIBsbG0pKSvrm32ZlZZGjoyM1bdpUowYUaVRxISLy9PQkBweHb3aIxcXFkaWlJQ0fPlxJyYqGzMxMcnBwIE9Pz2/+7ePHj0lHR4fmz5+vhGRFR3x8PFlaWtKwYcO++bfnz58nALRt2zYlJCs6njx5Qjo6OjRv3rxv/q2/v79GThCqccXl6tWrBID+/PPPr/7dzJkz83R2x3Jv9+7dBIBOnjz51b/r168flShRgicILQRLliz55oSKoihSo0aNqFatWhrTzq9KxowZQ2ZmZvT+/fsv/s3Hjx+pQoUK1LFjRyUmUw6NKy5ERN27d//qDWVv374lIyMjmjRpkpKTFQ2iKJKrqyvVq1fvi5f5N27cIEEQaNWqVUpOVzSkpqZS6dKlqVevXl/8m6CgIAJAgYGBSkxWdLx584aMjIxoypQpX/yb1atXkyAIdOPGDSUmUw6NLC53794lLS0t8vX1JVEU6d27d/TkyRN69+4diaJIP/zwwzfPKFjBHD9+nADQvn37PrsNOnXqRBUqVMjTiBqWNxs2bCAAFB4e/p9tkJmZSbVq1aJGjRppVDu/qpkxY4Z8JOS/t0FSUhKVLFmS+vXrJ3XMQqGRxYXonyYXY2NjsrOzIwDyn7Jly5KWlhbfhawETZo0oRIlSlCFChVybINSpUoRAPrjjz+kjqjRMjIyqFKlSuTg4ED29vY5toGNjQ0/1kAJ4uLiqFixYtSgQYP/bAMLCwvS0tKia9euSR2zUGhkcQkODiYDA4McG/LfP4aGhho17E/VBAcHk76+Pm8DCQUHB5Oent5Xt4GRkRFvg0IUHBxMOjo6RXIbaFxxCQ4OJi0tLZLJZF/doDKZjLS0tDRyo0qNt4H0sreBIAi8DSRS1LeBQEQEDREXF4fSpUsjNTUVoih+8+9lMhkMDAzw8uVLmJubF37AIoC3gfR4G0iPtwEgkzqAIv31119ISUnJ1cYEAFEUkZKSgs2bNxdysqKDt4H0eBtIj7cBoDFXLkSESpUq4fHjx8jLKgmCgAoVKuDBgwcQBKEQE2o+3gbS420gPd4G/9CY4hITEwNra+sCvd7S0lKBiYoe3gbS420gPd4G/9CYZrGkpKQCvT4xMVFBSYou3gbS420gPd4G/9CY4mJsbFyg15uYmCgoSdHF20B6vA2kx9vgHxpTXCwtLWFvb5/ntkpBEGBvbw8LC4tCSlZ08DaQHm8D6fE2+IfGFBdBEDBmzJh8vdbHx0cjOtCkxttAerwNpMfb4B8a06EP8NhyVcDbQHq8DaTH20CDrlwAwNzcHLt374YgCJDJvr5qMpkMgiBgz549GrMxVQFvA+nxNpAebwNA46Z/Ifpn2gUjIyMSBOE/Uy9k/5uRkREdOXJE6qgai7eB9HgbSK8obwONLC5ERLGxsbR8+fL/zERqb29Py5cvp7i4OKkjajzeBtLjbSC9oroNNKrP5XOICKdOnUKLFi1w4sQJNGvWTGM6zNQFbwPp8TaQXlHbBhrV5/I5giDI2zHNzc01emOqKt4G0uNtIL2itg00vrgwxhhTPi4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhuLgwxhhTOC4ujDHGFI6LC2OMMYXj4sIYY0zhNLq4iKKIDx8+4Pnz5wCA169fIzk5WeJURQtvA+nxNpBeUdwGGvmY47S0NJw8eRKbN29GaGgooqOjkZSUBDMzM9jZ2cHT0xMDBgyAg4ODxj8NTiq8DaTH20B6RXkbaFxxefz4MSZPnozAwEDY2tqiWbNmcHZ2hqmpKd6/f4+rV6/i1KlTyMjIwPjx4+Hj4wNDQ0OpY2sU3gbS420gvSK/DUiD3Lp1ixwdHalYsWI0Z84cev36NSUnJ9P58+fp9OnTdPnyZUpLS6MnT56Qj48PmZiY0PDhwyk5OVnq6BqDt4H0eBtIj7cBkcYUl5iYGGrQoAFZWVnRvn37KDMzk4iIHj16RFZWVqStrU2VKlWiDx8+kCiKlJ6eTmvXriVTU1OaPXs2ZWVlSbwG6o+3gfR4G0iPt8E/NKa4/PLLL6Snp0d//PFHjo3z6NEjMjMzIwBkZ2dHHz58kP8uIyODpk+fTpaWlhQWFiZFbI3C20B6vA2kx9vgHxoxWiw6Ohp+fn6oX78+vL29IZPlbrW0tbXh4+OD4sWLY/369SDN6n5SKt4G0uNtID3eBv9PI4pLaGgoXrx4gb59+0JfXx9ZWVk5frIR0X9+Z2Vlha5du+L48eOIi4uTbiXUHG8D6fE2kB5vg/+nLXUARYiIiICuri5cXFwwZcoU3Lx5U/671NRU+Xjyt2/fonfv3tDW/v/VHjlyJBo0aICVK1fi1atXKFasmNLzawLeBtLjbSA93gb/TyOKS3R0NPT19WFmZoaQkBCcP3/+s3+XmpqKEydO5Pi3du3awd3dHaIoasTZglR4G0iPt4H0eBv8P40oLnp6ehBFEZmZmZDJZP9p5xRFUf7///07QRCQnp4OANDR0Sn8sBqKt4H0eBtIj7fB/9OI4mJvb4/k5GS8fPkSCxcuRGxsrPx3r1+/ho+PD5KTk2FjY4OVK1fC2NhY/nsHBwecOXMGKSkpGDt2LNzc3ODo6AhHR0dUq1YNBgYGUqyS2lHENpDJZBpxUEkhKysLOjo6Bd4G+vr6sLGxkWIV1A4R4dWrV4iMjMT169cRGRmJ06dPIzExkbcBNKS41KtXD7q6uggODsaCBQtynBE8fvxY3q5paGgIDw+PHG2ZmZmZOHToEERRxIMHD/Dw4UO8f/8eRASZTIbKlSvLi42TkxMcHR1RpkwZjZuqoaDq1asHHR2dAm2DhIQE1K5dG46OjmjWrBmaNm2KJk2aqH3bc2EQRVH+ZXbq1CmcPXtW3pSS320QGBiIqlWromTJkkpdF3WQkpKCmzdvIjIyMsdPdvEwMDCAqakp4uPjkZmZme9tEBQUBAcHB43YBhpRXKpVq4b69etj+/btGDp0KCpWrJirL38iQkhICE6cOIE+ffogOTkZx48fBxHBxsYGVapUgampKaKionD06FH5wWtmZiYvONk/NWrUyHEWUlRkZWXh8OHDWLlyJZKTkxEQEJCvbXDs2DFMnToVDg4OOHXqFPbv34/ly5dDEAQ4OTmhWbNmaNasGRo1agRzc/PCXzEVI4oibt26hVOnTuHUqVM4c+YMYmNjoaenh/r162PcuHFwd3fHhAkTsG3btnxtg+DgYAiCgHnz5mH48OGwtbVVwpqpFiLC06dP/1NEHjx4ID/hrFixIipUqAA3NzdERUXh9u3bSE1NRfny5dG7d2+cP38+399Fx44dw9y5c6Gnp6eEtS1kSr+zppAcP36cTExMqEuXLhQXF0eiKBLRl29cEkWRXr16RW5ublStWjX5v6emplJwcDD5+PiQvb09ASA9PT1q1aoVzZ49mzZs2EDz5s2j3r17k4ODA8lkMgJAgiBQxYoVqWvXrjRr1qz/a++sw6L4vj9+NugGQVFEUVARFQOwCLEVUEIsTOxEFMFWDAxsVBQVuzuwWzFQsTuwMRFRkdid9+8PfztfUWJjFtDPvp6H59HdmXPvzp2Zc++5J7Bz5048fvz4n4m2/Z1Pnz4hMjISVlZWICI4ODggNDRUrjGoX78+BAIBdHR0EB4ejq9fvwIAkpKSsGrVKnTr1g1ly5YFEYHP56NOnToYMWIE9u/fjy9fvhTZNVAmDMPg9u3biIqKgp+fH0qUKAEigrq6OlxdXTFx4kScPHkSP378AADEx8fD2dkZRASBQCDzGDRo0ADVq1dHYGAgdHV1IRQK4e/vj9OnT7My/jW+fPmC+Ph4REdHY8CAAWjYsCH09PRARCAiGBsbw93dHUFBQVi6dCkWLFiAAQMGoEKFCiAiaGpqolWrVoiKisKTJ09YuQcOHICamppcY+Dk5JQjuPJv5p9RLiKRCJMnT4ampiY6duyIly9fgmEYPHv2DJUrV4a5uTnq1q3LDvb9+/fRtGlTqKmpQSAQYN68eX88RAzD4MGDB5g7dy57LBGhSpUqGD58OI4fP44vX77g6tWrWLVqFYKDg9GkSRP2RUBE0NHRQb169dCvXz8sXrwYZ8+eRWpqahFdJcVJTExEYGAgNDU1oa6ujq5du+LSpUsA5B+D0qVL48CBAxg+fDjU1dVRsmRJLFmyBFlZWWy7DMPgyZMnWLFiBbp06YIyZcqwysbR0RGhoaE4cOAA0tLSiurSKATDMLh79y6WLFkCf39/mJqagoigpqYGZ2dnjBs3DsePH0d6enqO8+7duwdvb28QEezt7REXF4fw8HC5xiA+Ph7Az5duVFQUKleuDCJC9erVsWzZMnz79q0oLo3CiEQiPHz4ENu3b8eECRPQtm1bdlJERBAKhahWrRo6d+6MGTNm4MCBA3j16hWePXuG6OhoeHl5QVtbG0QES0tLDBgwAPv37881D9jTp09Rp04dCAQCqKuryz0G/wL/jHIBgIyMDPj5+bEKYOHChbh//z6SkpLw4sULJCUl4datW5g6dSosLS1RsWJFHDx4EMOHDwcRwcfHB58/f85TflpaGnbt2oXevXujdOnSICLo6enB19cXK1aswJs3bwD8fFG8efMGhw4dwqxZs9ClSxfUqFGDVU5EhHLlysHLywtjx47F1q1bcf/+fTYHUXEjMzMTGzZsQIMGDUBEKFu2LCIiIvD+/fs/js3IyMCkSZOgo6MDW1tbqcbg2LFj7PnPnj1D165dwePxYGNjg23btuU6c2YYBg8fPkRMTAw6deqEUqVKsbP2unXrYtSoUTh8+HCxfSFKJi5Lly5Fx44d2f4LhULUr18fY8aMwZEjR/Ls/+vXr9GnTx/w+XyUK1cO69atY1fJio7Br308duwYvL29wefzYWBggGHDhuHhw4dKvTaKkJKSglOnTmHhwoXo3bs3nJycWMVARChZsiSaNWuGESNGYM2aNbh+/ToyMjIA/EzBcvr0aYSFhaFatWrs/eTm5oZZs2bh9u3b+a7idu/eDUNDQ1hZWeH8+fNSj0HZsmWhrq6OuLi4wrpMhcI/pVxu3LgBLS0tuLm5wdnZGVpaWjA2NoadnR2cnJxga2sLAwMDGBsbIzAwEI8ePWLP3blzJwwMDFChQgWpcvswDINr165h2rRpaNCgAWseq1WrFsaNG4fz58//oSwyMzNx8+ZNrFu3DiNHjkSLFi1gbm7O3viamppwcHBAYGAg5s+fjxMnTuDjx4+cXydpefnyJcaNG4eSJUuCiNCkSRPs2rUL2dnZ+Z4nEomwf/9+ODs7Q0NDA4aGhlKNwa9cv34drVq1AhHByckJp06dyrdNyQwwOjoaHTp0gJmZGfuybtCgAcaOHYujR48WWdZZhmHw6NEjLF++HJ07d2YnJxJlGBYWhkOHDrEmwbxITU3FmDFj2Ht77ty57MvxV34dg9+fgypVqkBfX7/AMfiV58+fY/To0eyqvEWLFti3b1+RTYiys7Nx584dbNq0CaNHj4aHhwdrOpWYD2vWrIlu3bphzpw5OHr0KN6+ffuHnHfv3mHNmjVo3749a7IyMzNDjx49sHXr1nwnmxKysrIwYsQIEBG8vb3Zc/Ibg1+fg7Zt20JDQwPdunX7p0yQ/0w9l8+fP5ODgwPp6enR+fPniYjoypUrdPbsWXr06BH9+PGDTExMyN7enho1akTW1tYkEAhyyHj69Cm1b9+ebt26RfPnz6f+/ftL7RX26dMnOnz4MMXFxdGhQ4coJSWFTExMqGXLluTh4UEtWrQgY2PjXM/98OED3bp1K4dL4507dygzM5OIiMqUKfOHA0HlypWV4rYLgE6fPk2LFy+mXbt2kZaWFvXo0YMGDhxItra2MslKT0+nbt260fHjx6lt27ZSjcHvnDx5kkJDQ+nKlSvUunVrmjFjBlWvXl2q33H//n12A/zUqVP08eNHUlNTo7p167IOAvXq1VOKuzn+f2P41/ZfvXpFfD6fateuzbbfsGFD0tfXL1BeZmYmRUdH09SpUyk9PZ2Cg4MpNDSUDAwM8j0vPT39j+fgw4cPdPLkSbp48SI5ODgUOAa/kpGRQVu3bqXFixdTQkIClS9fngYOHEiBgYFkYmIitRxZ+PDhwx8b7L8/HxJPTslfpUqVcn0+GIahxMREiouLowMHDtDly5cJADk6OpKHhwd5eHhQ7dq1pc4J9vLlS+rQoQNdvnyZZs2aRcOGDfvjnZHbGPz+HGzevJm6dOlCUVFRNHjwYMUvWnGgKDUbV4hEIrRq1QpGRkY5NtZ+RdoZQUZGBgYNGgQiQseOHeWy4YtEIsTHx2Ps2LGoWbMmuzfQsGFDRERE4Pr16wX2Jzs7G3fv3sXmzZsxZswYeHp6wtLSMteZ2ezZs3HkyJFcZ2bS8vXrV0RHR8POzg5EBFtbWyxevFjhPQw7Ozv07t0bgPRj8DsMw2DLli2oWLEieDweunfvjufPn8ss49atW4iKioKvry+MjY1ZZw03NzdMnDgRp06dYjfI5eHZs2dYtWoVunfvzo4Vj8dD7dq1MWLECOzbt0/m/TaxWIz169ejfPny4PP56NOnD169eiV3HxmGwYsXL0BE2L59u9xyAODSpUvo1q0bNDQ0oKmpiZ49eyqU0TczMxM3btzIsbKXmAuJCFpaWnB0dESvXr2wYMECnDx5UqqVfWpqKrZu3YoePXqwq3ADAwO0b98eq1evlvu5OXDgAExMTFC2bFlcuHBB6vPyeg6CgoIgFApx5swZufpT3PgnlMu4cePA4/Fw6NAhzmRu3rwZurq6qFSpEm7evKmQrFevXmH58uXw8fGBrq4uiAhlypRBnz59sHv37gJNIb+SkpKC06dPIyoqCn369EHdunVz2JTNzMzQtGlT1qZ87dq1XM0mEu7fv4+hQ4dCX18ffD4fvr6+OH78OCfL8zdv3oCIsGnTJoVlAT/ND4sXL4aZmRk0NDQQEhKCT58+ySVLLBbjxo0bmD9/Pry9vWFkZMSaJt3d3TF58mScOXMGmZmZecp48eIF1q5di549e7IbxDweDzVr1sSwYcOwZ88euT1/GIbB4cOH2cmJt7c37t69K5es3KhUqRL69+/Piaz3799j+vTprEKtX78+1q9fn+d99+ue5MyZMxEQEIDq1atDKBSy93H58uXRpk0bjBs3TuY9SYZhcOfOHcyaNQtubm6s3GrVqiE0NBSnT5/O4SwiK9nZ2RgzZgyICK1bt+bMdJ2VlQU3NzeULFlSoQlEceGvVy67d+8GESEiIoJz2Q8ePED16tWhqamJ2NhYTmRmZGTg2LFjCA4OZr1x1NXV0axZM8ybN0+uzVKxWIxHjx6x3jDe3t6suyT9v13fzs4OnTp1wvTp07F3717ExsaiadOmICKYmppizJgxMq8GCmL9+vUgIrx7945TuWlpaZg4cSJ0dHRgaGiImTNn/uFFJSsikQiJiYmYO3cuvLy8WPu7lpYWmjZtiqlTp2L37t1YvXo1evfuzbqp0/97Uw0dOhQ7d+6UW9n9ypUrV9CkSRMQERo0aIBz584pLPN3Bg4cCBsbG05likQi7N69m72vzMzMEBYWhri4OMTGxmLYsGFo3LhxDm9KXV1d1K9fH/369cOSJUtw7tw5ubwpv3//jv3792PgwIEoV64cO3aenp6Ijo7Gs2fPOPmNb968gZubG/h8PqZPn855qMHbt29RpkwZ1KtXL99J4d/AX61c7t+/z3prKWsjLD09Hb169QIRoXv37px7Hz169AgLFixAixYtoKGhASKCtbU1goKCcPjwYYVusLS0NJw/fx5Lly7FgAED4OTkxLZB/7/ZbWtri0GDBmHFihVISEjgdMO7R48esLe350ze77x9+xaDBg2CUCiEhYUFYmNjOdtgFolEOHToEAICAmBpack6bNAv7uURERGshyAXPH78GB07dmTNknv27FHafb1z504QEWcvXYZh8Pz5c+zbtw/Tpk1jzdSSa0ZEKF26NHx9fREeHo5du3bhyZMnCr2cnz59ikWLFqFVq1bQ1NRk40cGDx6MgwcPKmTizI3jx4/DzMwM5ubmBTqYKMKlS5egrq7O2cqyqPhrlUtaWhpsbW1ha2tbKLENa9asgba2Nuzs7Dg1T/zKt2/fsHfvXvTr1w8WFhbsi6xt27ZYtmwZXr58KZfcy5cvo0ePHtDQ0IC6ujr8/Pwwe/ZsTJkyBf7+/qhUqRJ4PB67N1S5cmX4+/tjypQp2LNnD5KSkmR+yTEMAwsLCwwfPlyuPsvCw4cP0b59exAR7OzssHfvXrleyu/evcOWLVvQv39/VKlShX0pVqlSBf369UNERATGjx+Pli1bQkdHh515t2zZEjNnzkRCQkKBnnR5tTtkyBCoqamhdOnSWLFihVxyZCElJQV8Ph8rV66U+dxv377h4sWLiImJweDBg+Hq6gpDQ0P2ehkYGMDV1RWDBw/GwoULERISwl7PqlWrYsmSJTKZgiVkZmbixIkTCAkJga2tLTtBaty4MebMmYN79+4pRRmLRCKEh4eDx+OhSZMmCu1tSsvy5ctBRHKNT3Hhr1QuDMPA19cX+vr6uH//fqG1e/v2bdja2kJHRwfr169XalsMw+DmzZuYMWMGXFxcIBAIQESoUaMGRo8ejbNnz+b7AsrIyMC6detQt25dNq5m5syZ+PDhQ67Hf//+HQkJCVixYgWGDh2KRo0a5Zh56uvrw9nZGQMHDsTSpUtx/vz5fJX6gwcPQEQ4cOCAwtdCWhISEuDu7g4igouLC86fP5/v8R8+fMC2bdswaNAgVK1alf2tlSpVQr9+/bBp0yYkJyfnem5WVhYuXLiA6dOno3nz5uy+l76+Pjw8PBAZGYkrV67ku5L6+vUrJk+eDF1dXRgYGGD69OmF6irt6OiIzp075/m9WCzGkydPsGvXLoSHh8PX1xfW1tY5JiK2trbo0KEDpk2bhn379uH58+d5xiWdOHECfn5+EAgE0NfXx5AhQwp8fpOTkxEbGws/Pz82et7c3By9evXCjh07lJ6h4d27d2jWrBl4PB4mTZpUqK7Xffv2hbq6OhISEgqtTS75K5VLREQEiAh79uwp9La/fv2KLl26gIjQt29fzpfeeZGSkoLNmzejW7dubPS2kZEROnbsiHXr1rFK48WLFxgzZgx7TPPmzbFnzx65HgqGYfDy5UvExcVh+vTp6NSpE+zs7FhFR0SoUKECvL29MWHCBOzYsQOPHj2CWCzG4sWLoaamJtcMVREYhsHBgwdRo0YNEBF8fX3ZF9jHjx+xc+dODBkyBNWrV2d/g7W1NXr37o0NGzbIvZGamZmJ+Ph4TJ06FU2bNoWWlhY7i/fy8sLcuXORmJgIsViMrKwsLFmyBCVLloS6ujqGDx9eJPFMo0ePhpmZGRiGwZcvX3D27FksXrwY/fr1Q/369VnnEyKCiYkJGjdujGHDhiE2NhZXr16Ve5/rxYsXGDt2LHuPNmvWDLt374ZIJIJIJMLFixcxfvx41KlTh3WSqF+/PqZMmYLExMRCiwU5c+YMSpcuDVNTUxw9erRQ2vyVjIwM1KtXDxYWFpzvWxYGf51yOXToEHg8HsaPH19kfWAYBsuXL4eGhgZq1qwpVRAal4jFYly8eBETJkzI8QAaGRmBx+NBR0dHqlmhvGRkZODatWtYvXo1hg8fjqZNm7IvCiKCtrY2jIyMUKpUKURFReH06dOFni9JJBIhOjoapqam4PF4MDExYftnZWWFwMBArF27Fi9evFBK+xkZGThz5gwmT54Md3d3dq9LR0eHNal5enri6dOnSmk/L0QiEe7fv4+tW7ciICCA3Qv5dR+uevXqCAgIwKxZs3Do0CG8efNGKS/0jIwMrF+/Hg4ODuy1kawAjYyM0KlTpxwTp8JCLBZjxowZEAgEcHV1xevXrwu1/V959eoVSpYsiUaNGindVMo1f5VyefLkCYyMjNC6detikRDy2rVrsLa2hp6eHrZt21bo7aelpWHRokWwsbFhTTKSjU1zc3MEBgYWiulAwtu3b3HkyBHMmjULampqKFWqVI6UN5aWlvD09MSYMWOwefNm3L17l9MHJjU1Ffv27cPw4cNRq1Yt1nxjaGjI7jcNGTKkSJJdHj58mN13MDIyYq+LiYkJfH19ERUVhVu3bnH6Ev/06RNOnjyJBQsWoFevXnB0dGRXVPT/qVD4fD7c3d2xbt063LhxI1/Xa65gGAY3btzA9OnTc5h8jYyM2JxcXbt2xeXLl5Xel9/5+PEjPDw8QEQYPXp0sXihnzlzBkKhEMHBwUXdFZn4a5TL9+/fYW9vj4oVKxarrKFfvnyBv78/iAhDhw4tlIfz7t27GDx4MPT09CAQCNCuXTucOnUKDMMgKysLJ0+eREhICLuPIBQK4e7ujtmzZytt0/NXEhISQESIj49HVlYWbt26hQ0bNiAsLAytWrXKMVPW1NREnTp10LNnT8ybNw/Hjx+XeqaalpaGuLg4hISEwMHBgfXosrCwQNeuXREbG8uuDD5//oxRo0ZBU1MTJUqUwPz58wvF1fPmzZvsy8rBwQHHjx8H8NML8cSJExg/fjxcXFxYZWNqaop27dph8eLFuHv3rlRjlZWVhdu3b2Pjxo0YNWoUWrVqxSb2lASK1q5dGz169MDcuXNx7Ngx1szStGlTeHh4KPUaAD+dAPbs2YO+ffv+4awSExPDOqt8/PgRs2bNQvny5UH0M/XP2rVrC8X8fPHiRVhaWsLY2LjY5flauHAhiAgbNmwo6q5IzV+hXBiGQefOnaGtra1wQKMyYBgGUVFRUFNTg6OjI5KSkjhvIzs7Gzt37mTjH8zMzDB+/PgCPciePn2KxYsXo3Xr1n+4ax44cEDh+JDciIiIgK6ubr6Bah8+fMCJEycwf/58BAYGwsHBge2fZOXVokULhIaGYv369bh58yY+ffqEgwcPIiwsDE5OTuyMt3Tp0ggICMDy5cvx+PHjfF/IL1++RK9evcDn82FlZYUNGzYoZRX8/Plz9OjRAzweDxUrVsSWLVvybef79+84evQoxo4diwYNGrCBfyVLlkSHDh0QHR2N+/fv4+3btzh69Chmz56Nbt26oWbNmlBXV2evW9myZeHh4YHRo0dj06ZNuHPnTr6z7+nTpxc4VvIicbNv3rw520cbGxsMGzYMR44cyVe5i0Qi7N27Fy1atAARoUSJEhg9ejTnsVjAz+d33rx5UFNTQ7169ZTShqIwDIMuXbpAS0sL169fL+ruSMVfoVzmzZvHaaS3skhISED58uVhaGjImbPB+/fvERERwSbla9CgATZs2CDXrDs9PR1xcXF/BJp5eHhgyZIlnMU8NGnSBJ6enjKfJ9kP2LJlC8aOHYvWrVuz6Tp+/dPU1IS9vT2GDh2Kc+fOyaUc7ty5gzZt2oDoZ7LRI0eOyCwjNz59+oSQkBBoaGjA1NQUixYtkms1+/HjRyxZsgQeHh4wNzdnTXySP3V1ddSoUQO9evVSaF/r8uXLICJOAjUzMjJw9OhRDBs2DJUqVcoRIDx//ny5syk/ePAAQUFBbBYJb29vHDt2jJMV+OfPn+Hj4wMiQnBwcKFYHuTl+/fvqFmzJqysrDgJ1lU2xV65nDx5EgKBACNGjCjqrkhFSkoK+9IaOXKk3DPCS5cuoWvXrlBXV4empiZ69eqFxMREzvopSZERGRmJRo0asTNlOzs7hIaG4tSpU3L1PT09HRoaGpg3b55c5x47dgzjxo1Dw4YNWVNRiRIl4O7ujg4dOqB9+/aoV68euykuMSU1adIEwcHBWLVqFa5evSq1GeXs2bNsKYFmzZrJnRsrPT0dM2fOhKGhIXR0dDBx4kSp4q8YhsGrV69w4MABzJgxA507d0a1atVypEKxsrKCh4cHOnXqhLZt26J69eqsCbBMmTLo0qULVqxYgSdPnsj8whWJRDA0NMSkSZPk+t2vXr1CTEwMvL29c6Q26tu3r8ypjQri69evWLp0KZsOv0qVKoiKipJ7D+3q1auoUKECDAwMsHPnTs76qUySkpJgbGyMFi1aFNsSHRKKtXJ5+fIlTE1N0bhx42KxsSYtDMNg9uzZEAgEaNCggdTBjz9+/MDq1avh6OjIvlQiIyMLZZaSmpqKbdu2oWfPnjmS+/n7+8uU3O/YsWMgIty6davAY3/8+IGTJ09iwoQJcHV1ZU0nJiYm8PPzw6JFi3Dnzp1cX5hisRiPHz/Gzp07MWnSJPj6+uZIySIQCFC1alV07NgRERER2L9/P168eJFnDMauXbvYDfdOnTrlmQD1d0QiEWJjY2FhYQGhUIiBAwfmea3S09Nx+fJlrFy5EkFBQXB3d8/hxaanp4eGDRtiwIABiI6ORnx8fJ4vzi9fvmD//v0YMWIE6tSpwyobS0tLdOvWDatWrZLaPOvr6wsXFxepf298fDzGjBkDe3t7Nt7F2dkZERERuHHjhtL39BiGwenTp+Hv7w+BQABdXV0MGjRI6uBmhmEQHR0NdXV11K5dW+qxLi4cOXIEfD4fY8eOLequ5EuxVS4ZGRlwcnKCpaVlrkWp/gbi4+NhYWGBEiVK5JtU89mzZwgLC2NfNC1btsT+/fuLbGYiFotx5coVhIeHo27duqxJxtHRERMnTkRCQkKepqhRo0ahZMmSub5gMjIycPr0aUyaNAmNGjVi3XONjY3h4+ODhQsX4ubNmwrtgXz9+hUXLlzAsmXLMGjQILi4uLB5wiSeY66urhgyZAiWL1+OS5cusSl9srOzERMTA3Nzc6ipqWHo0KF53nsMw2Dfvn1sFun27duzZh9J1cG9e/eyWRAqV66coyR2pUqV0K5dO0yePBm7d+/G06dPFXopf/78GXv37kVwcDBq1qzJjln58uXRo0cPrFmzJk+36yVLlkAoFOa5yvj48SPWr1+Pzp07s9mkTUxM0KVLF2zatKlITTSvXr3ChAkT2AlR48aNsXPnzjwno2lpaejUqROICAMHDiy0ODWumTFjBogIu3btKuqu5EmxVS69e/eGhoYGrly5UtRdUYgPHz6gZcuW4PF4GDduHKswGIbBkSNH0LZtW7bKX3BwcLGs8icpqNShQwc2zYeZmRm6d++OLVu25Cio5ODgwEZ9Z2Zm4uzZs5gyZQoaN27MbtgbGhqibdu2mDdvHq5fv650t/JfX/ZTp05F+/btUaVKlRwvexsbG/j5+SE8PBxbtmzBiBEjoKenBz09PUyZMiVHTrkLFy7AxcWFzQSwYsUKLF26FAMHDoSzszP09fVZZWZkZAQ3NzdWmSUkJBRKdcxPnz5h165dCAoKYgNKJUGvvXr1wrp169iAUUk2BYmHFMMwSExMxNSpU1G/fn32OtWuXRvjxo3DhQsXip1JJjMzExs3bkTDhg1Zx4Zp06blCD68efMmKlWqBF1d3WK/f1sQDMOgXbt20NPTw71794q6O7lSLJXLsmXLQERYtWpVUXeFE8RiMaZNmwY+nw8XFxdMnTqVzYhco0YNxMTEFNtyvL+TnZ2NM2fOICwsjI1yl5SCHT9+PIh+lotu1qxZjpQonp6emDNnDq5evVpsXkzp6em4cuUKYmNjWTOVZGZO9DNvmLm5Ofh8PvT19dGuXTvUrl2b/U2/1hr51Qw3ffp0xMXFsbXTiwMfP37Ejh07MHjwYHbPQuK91bt3bxgbG6NZs2a5lvBeuXJlkQYSykpiYiJ69eoFLS0tqKuro0uXLhg7diw0NTVRvXr1Qk0ZpUzS0tJQtWpVVK5cuUhitwqi2CmXCxcuQE1NDQMHDizqrnDK7du30aZNG9Zc0ahRI5w5c6bYvHzkITs7G7t374aPj0+OCH0ejwdLS0v06NEDZ8+eLTbKRBoYhsHdu3cRGRmJtm3bwtraOkcmacnvK1GiBOrWrYtBgwZh165df83kQMLbt28xf/58NGzYMEc9IHV1ddjb22PcuHFKy15QWHz69Il1i5c4hixdulQp7vdFxYMHD6Cvrw9vb+9iEVj+K8VKuSQnJ6N06dJo2LBhsXYJlJbs7Gxs374djRo1AhGhVKlSGDFiBBo2bAg+n48pU6YUuxsiP0QiES5fvoxZs2ahVatW7EOro6ODFi1awMnJCSVKlMDgwYPZzXUNDQ20bNkSUVFRxW7jNDs7G/fu3WNdn3+v9ikUCmFmZgaBQABNTU00btyYXXFK6p9LjtXW1oaTkxN69+6NhQsX4tSpU8XOXfTHjx84dOgQhgwZkmN8WrVqxQYCd+vWjf2NRD9T/w8cOBDbtm376/Y+7969Czs7O2hpaSE4OBitWrVi94vCwsKUEo9WFOzbtw9EhKlTpxZ1V3JQbJRLVlYWXFxcYG5uzmmNjKLg7du3mDJlChuJ7OzsjM2bN7MKUyQSYcKECeDxeGjRokWxfWhFIhGuXr2K2bNnw9PTk91L0NbWRrNmzRAREYHz58+zLsuVKlXCgAEDAPxcAdy/fx9z585FkyZNWLfiKlWqYPjw4Th+/HihTiAkQZvz5s1Dz549UadOnRxBm6VLl0bLli0RGhqKVatWYdSoUShRogQ0NTUxatSoHPtKx44dY3O6NWvWDDExMZgzZw66d++OWrVq5QhqtLCwQOvWrTFq1Cipghq55vnz54iOjoaXlxe7QrG0tMSAAQOwb98+NgtzcnJyjliy169fY+PGjejTpw+bXojoZzXHwYMHY8eOHUWSbFNaNmzYAB0dHdja2uL27dvs548ePcLw4cNhaGgIHo+HNm3a4PDhw3/VJC83Jk6cCB6PV6hZyAui2CgXST2L+Pj4ou6KXDAMg/PnzyMgIABqamrQ0tJCnz598o2mPXz4MEqUKIEyZcoopdqgrIjFYly7dg3z5s1DmzZt2M17TU1NNGnSBFOmTMG5c+dyVQrPnz8HEWHHjh25yk5LS8POnTvztOlzNaHIzMzEzZs3sX79eoSGhqJly5Z5ppuZP38+Tpw4waabEYvF2LBhA6ysrMDn89GrV6883cjFYjE2b96MChUqgM/no2fPnqwZKSsrC3fu3GHTsbRu3ZqdaEhWC7Vq1UL37t0xZ84cHD16lLMJRn57YjNnzsTt27fzNMVWq1YNvXr1yvW7ly9fYt26dejVq1eOKqc1atRAUFAQdu3aVSzSMv348QP9+vUDESEgICBPD7hv374hJiaGdaeuVKkSFixYIFcVzOKAWCyGp6cnDA0N8fjx46LuDoBiolzWrl0LIsLixYuLuisyk56ejtjYWHajt2LFipg7d67UD9qrV6/g7OwMgUCAyMjIQt2DEYvFuHnzJhYsWAAfHx/WzKOhoYFGjRohPDwcp0+fliobQGxsLHg8nlSmIIZhcO3aNUydOhUNGjSQyxuJYRgkJyfj8OHDiIyMRNeuXWFvb/9HokwvLy+MHTsWW7Zswb179/JcNRw5cgS1atUCEaFNmzY5Zrv5kZmZiaioKJiamkJTUxOhoaF5jv2nT59w6tQpLFy4MNdEkqVKlULz5s0REhKCtWvX4vr161Kt7t6/f5+nN9/WrVtzrLryIygoCOXKlZPqHnz+/DnWrFmDHj16sHnAeDweatWqheDgYOzdu1fqdrni0aNHqFmzJjQ0NBATEyPV72AYBmfPnkWHDh0gFAqho6OD/v37SxWnVdz4/PkzrK2tUb169WKxB1jkyuXq1avQ1NREjx49/qrN7adPn2LkyJEwNjYGj8eDh4cHDhw4INfyOisrC6GhoSAieHl5Kc1WzzAMbt++jUWLFsHPz4+tZa6urg5XV1dMmDABJ0+elMv3PyAgAA4ODnL16+PHj9iwYUOOOIoSJUqgS5cu2LhxI16/fo3ExEQ2xX+TJk1yOBBIyg737dsXixYtwpkzZ6R+sV29ehXNmjUDEaF+/fo4e/asXL/hy5cvmDBhAnR0dGBoaIhZs2ZJdR1FIhEePHiAbdu2Yfz48Wjbti37spbs+0hS4M+cORMHDx7Ey5cvkZCQgPDwcDg5OeWIQ5o0aVK+cUj5IbHdyzPzTUpKQmxsLLp168amKuLz+ahTpw5CQkKwf/9+pXo0bd++Hfr6+rC2tsa1a9fkkvHmzRtMmjQJ5ubmICK4ublh27ZtSsm7pixu3boFHR0ddOzYscjfp0WqXD58+IBy5cqhTp06f0Uwk1gsxqFDh+Dp6cnWTxkxYgRny9B9+/bByMgI5cqVw6VLlxSWxzAM7t27hyVLlsDf3599IaupqaFhw4YYN24cjh8/rnD1Q4ZhULJkSYSFhSks59mzZ2xKml9L5/66h+Ht7Y2JEyfmKE4mK0+fPkXnzp3ZfaBdu3Zx8jAmJydjwIABEAgEKFu2LFavXi2Xt1xqairOnTuHJUuWoH///qhbt26OPSKJucvGxga9evXC4cOHFfaC+vLlCwQCAZYuXaqQHIZh8OTJE6xYsQJdunRhMzTz+Xw4OjoiNDQUBw8e5KQ8eWZmJoYOHQoiQrt27Tgxa2VlZWHLli1sLFOZMmUwefLkPKuSFje2bNkCIsKcOXOKtB9FplxEIhGaNm2KEiVKFMsspL/y+fNnzJs3D9bW1iAi1KxZEytWrFBKSdpnz57ByckJampqWLBggUwvPIZh8ODBAyxduhQdO3Zk4zCEQiHq16+PMWPG4MiRI5wvmW/dugUikqla3/fv33Hp0iUsX74cQ4YMgZubW65llbt164YuXbrA1dWVzSdmYWEhd+6q9+/fIygoCGpqajA3N0dMTIxSNtgfPHiAdu3asZvg+/fvl3ksc8v9ZmNjAx8fH/Ts2RM+Pj6wsbHJUXa4SpUqaN++PaZOnZpv2eG8aNCgAdq1ayfPT873tzx8+BAxMTHo1KkTe18KBALUq1cPo0aNwuHDh2W+L5OSkthnJSoqSikz9Rs3bqBv377Q1taGmpoaOnfujPPnzxf5qqAgRo4cCYFAgBMnThRZH4pMuYSFhYHP57P1LYojN2/eRL9+/aCtrQ2hUIhOnTohPj5e6TdWZmYmhg0bBiKCn59fnrMxhmHw6NEjLF++HJ07d2Y3rgUCAerWrYuwsDAcOnRI6aWG58+fDw0NjVxnzgzD4OnTp9i9ezcmT56Mdu3aoVKlSjleiJUrV2ZfiHv37sWzZ8/yTB9z9OhRBAcHy5x199u3b5gyZQr09PSgr6+PadOmFYpd+uLFi3Bzc2PNLBcvXszz2O/fv7NZqyWmMS0tLXh6euabtfrbt2+soh48eDBcXV1zrPoMDAzg4uKCQYMGYdmyZbhw4UKe98SECRNgbGysVO8piSdhdHQ0OnToADMzM3YS1KBBA4wdOxZHjx7Nd/K2d+9edpVfGDXmf59g1qpVCytXriy2MTPZ2dms+bio4pWKRLls27YNRITZs2cXRfP5IlkSu7q6si6qRbUkltiRK1asyGZEfvr0KVauXImuXbuyHkh8Ph8ODg4YOXIk4uLiCj1a19PTE40bN8aXL18QHx+P6OhoDBgwAA0aNICenh77kjM2Noa7uzuCgoKwcuVKXL58WaHVn6ReSIsWLXLUCwkKCmLrhWRnZ2Pp0qVsVcxhw4YVetlchmEQFxfHRsa3a9cODx48APBz9r1o0aJc6+0cPHhQ7pcXwzB48eIF9u/fj4iICHTs2BG2trY5Ut5YW1vD19cXkyZNws6dO/H48WOcPHkSRCR3dmh5+3r37l0sXrwY7dq1Y/cC1dTU4OLigvHjx+PEiRNIT09HVlYWRo4cye5PFraHmlgsxsGDB+Hh4cGaxkNCQopdDBfwv20HBweHItl2KHTlcvv27WKz4fQrycnJCA8PZ2f/bm5u2Lp1a5Fv5p0+fRrlypUDn89nN7t5PB5q166N4cOHY9++fYXuPikSifDw4UNs374dY8eOhVAozGHSEgqFqFatGjp37owZM2bgwIEDePXqlVLHW1LpsF+/fqzS1dTUZE1pPj4+hV6v/ndEIhFWrFgBMzMz8Hg8dnUhFArRuHHjQqkU+uPHD1y9ehWrVq1CcHAwmjRpwr7MJc4RfD4fdevWxeLFi3H27NlCv7/EYjFu3bqFqKgo+Pr65vBi1NfXB4/Hw4ABA4p8n/bJkycICQmBkZER69Rz8ODBYhUzI3GYCgwMLPT3baEql8+fP8PGxqbYuMoxDINz586hY8eOUFNTg7a2Nvr371+k1S5fvnyJtWvXomfPnrCysmIfeknGZFdX10Jd5qakpLDus71794aTk1OOdCESpRIQEIA1a9bg+vXrhVI+OD9Onz7NJmuU1GUnItjb22P06NE4d+5coQYyJicnIzY2Fu3atWMDUfX09KCurg4NDQ2EhoYWaW4ohmHw5s0bHDp0CLNmzULp0qWhq6ubw627XLlyrFv31q1bcf/+/UJL6yMWi7FkyRLo6OhAU1OTzQyhqakJd3d3TJ48GWfPni2yrB7fv3/HypUrWVd2a2trzJ07t9BdsfNizZo1ICJER0cXaruFplyKU5DP9+/fsXz5cjaAysbGBvPnzy+Sm+H169dYv349evfunaMeSfXq1TF06FDs3LmTjYTeuHEjdHR0UKVKFc798LOzs3Hnzh1s2rQJo0ePhoeHB+tSKtnbqFmzJrp168YG/r19+xbh4eEwNDQsFvnDbt++DU9PTzZm5tixYwB+KsjNmzeja9eu7CzdyMgInTp1wrp16zg3k4nFYly8eBETJkxgI/l5PB7q1auHKVOm4OrVqxCLxUhJSUFoaChbtXLhwoXFIu3R7NmzoaWlhbS0NNy8eRPr1q3DyJEj0aJFC9ZNV/Jyd3BwQGBgIBuQynXUvkgkwrhx43JksxCJREhMTMTcuXPh5eXFllTQ0tJC06ZNMXXqVMTHxxe61UESSN25c2d2stq3b1/cuHGjUPuRG4MHD4aamhrOnz9faG0WmnKZNGlSkacnePz4cY7UD15eXoWe+iE5ORmbNm1C37592U1pop8VIAcNGoTt27fn+7K7d+8eqlWrBi0tLaxevVquPrx//x7Hjh3D3Llz0aNHD9SuXTtHcsZfU5Zs3LgRt2/fzvNBdXV1hY+Pj1z94IoXL16gZ8+e4PP5qFChAjZt2pTnmIpEogJf/PKYD35VYBKXb2kV2IsXLxAYGChV/wuD69evg4hw8uTJXL9///49jh8/zqbS+f3+KVOmDFq1aoWwsDBs2LABt27dkutFn5ycDHd3d/D5fEybNi3fMb1y5QoiIyPh4eHB7vNpa2ujefPmmD59Oi5cuFDoq9XJkyezbtguLi7YsmVLkZnZs7Ky4OzsXKjptQpFuUiCs6ZMmVIYzeVALBbjwIEDaN26NXg8HoyNjREaGlpo9vd3795hy5YtGDBgAFvpUBJbMWDAAGzZsiVHzQlp+P79O3r27AkiQmBgYJ6b4pmZmbhx4wY782zevHmONPFaWlpwdHREr169sGDBApw8eVKmmefXr1+hpqZWZJkVJDN/TU1NlChRQq6Zv8Rk5efnx76UzM3NERgYiB07duQZi8EwDG7evInp06fDxcWFNb3VqFFDbtPbrVu34OXlBSJCnTp12JVXYSMWi2FqaipTpcPs7GzcvXsXmzdvxpgxY/5IAirJttytWzfMnj0bR44cybe66YkTJ1CyZEmUKlUqTyWXX18uXbqEmTNnomXLluy+m66uLlq1aoWZM2ciISGhUJRNVlYWtm3bxiavNTc3x6RJk4okf2JycjLMzc0LLTGw0pXLw4cPYWBggDZt2hTqbCwlJQVz5sxhTU21a9fGqlWrlO46+OHDB2zfvh2DBg1C1apV2YerUqVK6Nu3LzZt2sSZ51lsbCy0tLRQvXp1nDlzBocOHcLMmTMREBCA6tWr56jDXr58ebRp0wbjxo3jzGZ+4MABEFGh18f48eMHIiMjYWRkBB0dHUyYMIGTPYvMzEycOHECISEhsLW1ZT2WGjduzNaikTgNSEyGOjo6aNu2LZYtWyZ1OeuCOH36NOrVqwciQvPmzeWOOFeEDh06oG7dugrLSUlJwenTpxEVFYU+ffqgbt26OfbszMzM0LRpU4wYMQJr1qzB1atXMWnSJPD5fLi7u3PyrGRlZeHChQuYPn06mjdvnqPOkIeHB2bPno0rV64o3bR769Yt9O/fHzo6OhAKhejQoQPOnj1bqBvt58+fh5qaGgYNGqT0tpSqXL5+/YqqVauiUqVKheZxcu3aNfTu3RtaWlpQU1NDly5dcOHCBaUN4KdPn7Bz504MGTKETRQo2dTr3bs3NmzYwFb844JfC1wNGzYMTk5O7KxZMjurX78++vXrhyVLluDcuXNKu/YjRoyAhYVFoT0cIpEIq1evRtmyZSEQCDBgwACluog/ffoUEydOzOHCK4kbadu2Lfbt26c05wWGYbBjxw7WdBoQEFCoKeKXL18OPp+vlHtHLBbj0aNH2L59OyZMmABvb+8cyTCJCKampjkKr3HpbZiZmYn4+HhMnToVTZs2ZfO7GRgYwMvLC3PnzsW1a9eUNhlOTU3FggUL2LG1t7cv1IKB0dHRICK5zerSojTlIinDqauri7t37yqrGQA/b5ZNmzaxJU4tLCwwderUfJfd8pKSkoLdu3dj2LBhsLe3Z4MBraysEBgYiLVr13LizcUwDJ4/f459+/Zh2rRp6NChQ65xCn5+fhgzZgybqqJ///6F5qJpb2+PHj16KL0dSZyIRHn/GifCNZmZmbkGajZu3Bh9+vRB586dUa5cuT8CHJWVZeLXOB11dfVCi9NJSkoCEWH37t1KbwsAzp07B3NzcxgYGGDIkCEYMGAAGjZs+EecVKNGjTB06FCsWLECCQkJnGTJyMjIwJkzZzB58mS4u7uz+0dGRkbw9vbG/PnzcePGDc6VjVgsxpEjR9gigoaGhggODsajR484bed3GIZBYGCg0svIK025zJw5E0R5p2DngtevX2PChAnsPoK7uzt27NjBqS01NTUV+/btw/Dhw1G7dm1WmVhaWqJ79+5YvXp1npHT0vLt2zdcvHgRMTExuUZYGxoawtXVFYMHD0ZMTAwuXrz4R4Q1wzBYunQpm85d2R557969AxFh3bp1Sm3n1wh3V1fXfCPc5eXVq1dYvnw5vL29WTfXMmXKoE+fPrmmmJGkZpk1a1aO1Cx2dnYIDQ3FqVOnON+4/fbtG6ZOnVqoGQYqVKiAwYMHK7UNhmEQGRkJgUAAZ2fnP0yLDMMgKSkJe/bswZQpU+Dv74/KlSv/keHB398fU6ZMwZ49e5CUlKTQKufHjx84deoUJk6cCDc3NzZA18TEBL6+voiKisKtW7c4XbEnJSUhLCyMDTlo1aoV4uLilLZ6+vHjBxwdHWFpaam0elJKUS5Hjx4Fn8/H6NGjlSEe169fR/v27SEUCqGrq4uBAwdKnSJdGt68eYORI0fCwcGBXSlYWFiga9euWLlypcLOAGKxGOHh4fD19YW1tXWOB8XW1hYdOnTAtGnT5MoNlZiYiIoVK0JfX1+pin3z5s0gIqVtTD558iRHbq64uDhOH+bPnz9j7NixqFmzJnvtGzZsiIiICFy/fl2mtlJTU7Ft2zb06NEDJUuWZE0s7du3x8GDBznrM/BnbrRly5YpzSzZt29f2NraKkU28NOkLHFgCA0NlUkhf//+HQkJCVixYgWGDh2KRo0a/ZGbrmHDhhg4cKDCNaLS09Nx4sQJjB8/Hs7Ozmz8j6mpKdq1a4ctW7YoJP/3tlatWsV6MlaoUAGzZ89Wyn7QixcvYGpqiiZNmijFuYEHACQHzs7OZGVlRSEhIaSjoyOPCLK2ti5QflhYGGlqaipFvrOzM/n5+ZGRkRExDEMnT56kY8eOkZeXFzVo0EAh+ZI2rKysaNy4cSQQCIiIKDMzk+Li4sjU1JRcXFwU/g2rV68uUEZexMTE0KxZs5Qmf9myZRQZGZmvfF9fX0pISCBdXV2ysrKiihUrkr29PampqUnVRkHXp2zZsmRvb0+urq5kZmYm82+QZowXLlxIurq6dOPGDdqzZw/xeDyqX78+1a1bl/T19YnH4yn0G6ysrKhr165kZWVVoCx55AuFQlqxYoXMcqWVX9A99OXLF4qMjKSePXtSxYoVZZKfXxsbNmygN2/e0MiRI/M9v6A2FHkOGIahtWvX0tSpU5UiHwCtWbOmQPnlypUjPz8/ql69Ouf3UF4IZT7j/0lNTaVmzZpRUFAQDR8+nDw9PYnP58srLlf57u7uNGTIEBo1ahQ1btxY6heOtPKtrKxo/PjxVKVKFXr16hWVLl2aQkJCKCgoiNzc3KhcuXIKt9GwYUMKCgqiyMhI+vbtG40ePZq8vLzo+PHjpKurS/7+/grJl2fQiYiWL19Offr0UZr8+Ph46t27d4HyP378SEFBQfT161dKSkqiixcvUkxMDO3du5d0dXXlavtX+TNnzqQrV65QREQE1a1bl0aNGsX5fRQcHEylSpUiTU1N6t27N/F4PDp58iSFh4dTqVKlqH79+mRvb09VqlQhbW1tmeW3a9eOVq5cSerq6jR69GiqWrUqp/2/c+eO3OMsjfyCZFtZWdGaNWvIx8eHPn78KPPLLzU1lbS1tal06dLsZxs2bKDk5GSqVq0arV27liZPnixX/yXy5b0+Pj4+NH/+fKXJDwoKouDg4ALlT5o0idavX0/bt2+ncePGka2trVxKRibkXfLY2dkB+Lm0HTFiBHx8fDjNiySR//btWwwfPpzdOOWqkJZE/o8fP3Dt2rUcmXgzMzNhZGSk8G+RtHHr1i307dsXgwcPZm3KDMOgTJkyCnkbSeTLA4/HU6p8LS0tqeT/fo0l6dkrVarE2fUHfrqjLl++HG5ubpxGkdvZ2SE1NRWvX7/O0V+GYZCRkYG7d+9i9erVCAoKgru7u8zmW8lvkFQNbdWqFRYsWMCZLd7Ozg5z5swpsJ7N27dv5RqPgu6hS5cuITIyEsDP/TXJv2Vtw9HREefOnWNrAlWtWhUMw4BhGFSuXFmhEAR5n4NNmzZJ5fJbWM8xwzC4fv06fHx8EBYWpvQ4H4WVC/C/gLI2bdpg+PDhePr0KacvBoZh8P79e6xcuZLdtFeUggZ07969GDduHGdtSG70X/n48aPc1Rt/ly8LL1++xKhRo5QmHwCkmbfkJz86Ohrbtm2Tu/285N+4cQP29vaceZtJe40YhkFKSorMk5bf5YtEIoSHh7Mec4ra4iUK3tvbGz169Mg1aPT27dvw9/dHt27d5JKfHxoaGjmuhzzzXTs7O6SlpcHLywtDhgxBjRo1cniRff36FTVr1pRZ7q/yZSU5ORk1atSQaqzlfc5u3ryJjRs3yixfLBZj9erVcHd3V2rsISfKRYJIJMKhQ4fg5+eHfv36KZQOO68L/u3bN3Tq1AkxMTFyy85P/q/Uq1cPiYmJcitKadpwc3OT2+tH3pvS1NRUqTc9wzBSnZvfMQzDQE1NTaFJSl7y3759C0dHR04i4GW9RteuXcOsWbMUks8wDC5evIiAgAD4+fkpVEXz15XRlStXYG1t/ccx2traEIlE8PT0lDnuJb/r8+zZsz+80caPHy9z/aFff0NiYmKuAbVDhgzB+vXr5Zqty/McmJmZSb1akvc509HRUeg5Pnz4MDw8PORqWxo4VS4SxGIxjh8/DltbW7ljLgp68fj7+0ulteWRLyErKwtNmjTB1KlT5TJfSduGvDeXPOclJSUhICBAafKBnysjaVLaFCT/8OHDCpXczU9+eno6WrdurbArtTzXSJbZeUHPwevXr9G/f3+5zEm5yR86dGgOD8CsrCz4+voC+Dl5rFChgszyc3sBMgyT6yqOYRjUqlVL5jYKgmEYDBw4EN7e3jJbPmQd48uXL8tUq0qeeygzMxP16tVTWP6oUaOwd+9emduXBqUoFwlPnz6Fvb29UuQzDIPmzZvLHeQl7YBmZ2dj7dq1cHBwkHl2KG0btWrVkisuQtabMjMzEyYmJlIvhaWV/3sGgtxmv/LK19HRkXvpXpB8sVgMPz8/hVxJ5XkxdOjQgdMxYBgGderUkSu48nf5DMOgVKlS7P+bNWuWw/RWrlw5mc16AwcOxOHDh/Ho0SN8+vQJX758wcyZMzFjxoxcz5HVNCaLaTI5ORl+fn4yZRWXdYw1NTUVMn1KQ4MGDaSeuBc0QdHT01OKOzt37l25YGVlRS4uLnTnzh3OZfN4PDpw4ADFxsbSqlWrOJcvQSgUUteuXSkiIoJCQkKU0kZ8fDw1bdpUKbKJiL5//05nz56lFi1a0O7duzn16jt//jwFBgbSx48f2c8eP37MmfzLly+Tv78/QT6P+Xzh8/m0bds2mj9/Pt29e5dz+XmxYcMGGj58OGfyeDwexcfHU82aNTmRVaJECRKJRASATp48ybrRExFdvXpVKtfeX+nWrRtduXKFZs2aRf3796fAwEASi8UUGhqa6/FDhgwhsVis0O/IDR6PR6VKlaKtW7dS3bp1OZdPRJSVlUWNGjVSiicWAHr37h1t3LiRLC0t5Q7R+BUej0cJCQnUvXt3Dnr4G/JqJVlmCzo6OkqTLxaL0bVrV5n3YOSZLQiFQqXNSKysrGTenJVmZj5v3jy0bt0aI0aMyLfGvDzyAUBNTQ2ZmZmwsLBgP9PW1uZMPgBMnjwZAwcOlHl1J638rKwsmJqaFpo9HpB+di6L/AEDBshcbjc3+d++fUPjxo0RGRmJo0eP/vG9NB5KuclnGAbZ2dnIzMzM9zkSi8UyOQ/IMwb+/v5S30+yyG/UqJHM95G0q1N/f3906NAB4eHhnL+HatasyXnBOqWuXIh+asagoCC6d++eUuTz+Xxas2YNbd26lW7duqWUNiQcOnSIzp49qxTZiYmJ5OPjw5k8hmHIy8uL+Hw+bd26lSIjI8nGxoYz+UQ/Z1KWlpakrq5OJUuWJJFIRO/fv6cDBw5w2s64ceOofv361KRJE8rMzORUNhGRmpoanTt3jpo0acK57LxQV1fnXObixYupdu3aCsvR0dGhunXr0rlz53JdUa9fv54SEhJklsvj8UgoFJK6unq+M3s+n09r166VWb4sbNq0iby9vTmVCYASExNJKJQ7fDBPAgICqG/fvrRhwwYaP3485yujCxcucHLv5EBerSSLNpdn9SLrbEQkEkFXV1dqjS7PbIdhGGhoaEh9vKxtWFtby1RnIT/5Pj4+2LVrl0ztyyIfAE6dOsXmJUpPT0eTJk1kssnLs1Fap04dqY+XVf6oUaNkvmbyrlz27dsnlTeRrPJDQkKQmJgo9fF5yWcYJs99IVmeA3mvT6lSpZT6LAPcrB5/7aM81oGC5AM/ny1Z7ntZ5UuYMGECp5v7Sl+5EP2csYSFhdGpU6eU1oZAIKDdu3fTtGnTlNYGj8cjAwMDpdj/iX7as93d3RWWs2PHDqpcuTKnM7PU1FSKi4vL8VmrVq3I1NSUiIi0tLTYPTZlRf46ODhQhw4daN++fUqRHxERQf369aOsrCylyP8VDw8PzmfORESzZs0iZ2dnhe9RHo+X594cj8ejhg0bKmVfRML58+fp5s2bSpNPROTr60sMw8h9fkpKCoWFhdGUKVMoKiqKEhMTFbYOAPjjujZo0IDOnTunkFxpmDRpEvXp04fS09O5ESivVpJ1tsAwDIyNjaV26ZV3NqKvr6/UGI7nz59j586dUh0rTxsBAQG4fv261PJ//61ZWVkwMTHhxPvDzs4OBw8eBMMwsLS0RIsWLXDnzh32+99vn9wCRQuSLysMw0BdXV1pY5ycnAwnJyepjy/KQNO8iIuLQ1hYmFTHytv/X12UlSEf+PksS4O8bWRnZ2PYsGFyyReLxShfvjzi4+Nx7NgxbNu2Te6AVol8kUiEwMBA+Pn5IT4+HgzD4NGjR/D09JRLbn79z4u3b9+iatWqnCTKLDTlAvx0Ta5Tp45Ubpjy3jAPHz6U+4aRFoFAINVx8r48DQ0NpRpcOzs79OrVK8e5uaUtlxc7Ozvw+XxERkZi06ZNEIlE7Gb9jx8/MHHiRIXly8OJEyewcOFCpckfPnw4Tp06JdWxitxHQqFQafKdnZ2lyt5dHJWjLPILo43c5Pv5+SEhIUHudnOT36xZM8TFxeH169do27YtRo4cCWtra06yMMhCXFwcWrZsqXDV3kIxi0mQJIr08/NTmmnJxsaGVq5cqTT5REQVKlRQmnwej0dnzpyh5s2bS9XGtWvX6OHDh8QwDC1cuJBcXFzIwsKCs/7ExMTQw4cPqUOHDiQQCCg4OJgSEhKoUaNGNHHiRM7akQV3d3cKDQ1V2hjMnj2bWrVqpdR7iIgoNjaWsrOzlSL7xIkTVKdOHaX+hoCAAKWaxoYNG6ZU+UQk9TUSiUSse/aePXvIwMCAHB0dOevHrl27qF69etS6dWsqXbo07dy5k3x8fOjChQs5XMELg9atW9OwYcOoadOmlJCQIP89JK9Wkphk5PmLiopCdHS00uTfv38f8+bNU5r8lJSUPAPAuGpj/vz5Ul2jHz9+wNXVFV26dEHv3r1lbkee/tvY2KBp06ZKky/N35UrV7BgwQKlyT9//nyB8hVtg2GYAlfZisg/ePAgoqKilCZfJBIVmKNOEflisViqmlCKtPHt2zdEREQUKN/b2xt+fn7o2bMnWrduzflzJglklPdPGdfn1atX8Pf3L/Aeygu5feYCAgLowoULcp1bu3Zt+vLli9LkExVcf0BR+dKkPVekDUdHR6muUWJiIk2ePJnevXtHFhYWMreXX92avPovqV8iTVvyyJeW3Gp/FKZ8Ltpwc3NTmnx9fX2ysrJSmnwiKjAYUdnyuWijWrVqBcq3tbUldXV1+vLlC1laWnL+nJmbmyv0G5T1nAUFBVFaWppc58pdLEzO03I2no9X0d8uvzDaUMlXjfF/XX5htKGSX/AY5Ibcey48Hi/Pv549e1Lp0qXp7du3+R4nr/yVK1eSUCiktLQ0pci/c+cO8fl8On78uNzy82vjzp07pKenR+Hh4fnKV+Q3uLu7U/Xq1en79+9KkT9+/HgqWbIkAVCK/Li4OOLz+fTkyROlyD9+/DgJhUJas2aNUsZYLBaTtbU1NWvWjMRisVJ+Q9euXcnJyUlp99DixYtJU1OT0tPTlSJ/zZo1xOfz6fTp00oZgy9fvpChoSEFBgYW2Bd5f4OLiwu1b99eaWMwcuRIsrS0VFr/w8PDSSgUKvSc5YlcxrQCSE5ORunSpdGgQQOZggKl5enTpyAiuZNWFsS8efOgoaGhsLdEbnz+/BnW1taoUaOG3Kn2peHOnTvQ1dVF+/btC7TJysOJEydARFK7TctKUFCQzEkSpSUpKQkmJiZo3ry5UmqTSzhx4gQEAgFGjhypFPmxsbHg8XicFdD7nbZt28LNzU0psi9fvgwNDQ306tVLKWMsYe3atSAiLF68WCnyJ0yYAGNjY6XVRbG3t0f37t2VInvv3r0gIkyZMkUp8pWiXADg/PnzUFNTw8CBA5Uiv0KFChgyZIhSZHt6eqJJkyacyxWLxWjdujUMDQ3x+PFjzuX/zvbt20FEMtUPkZYfP35AS0sLc+bM4Vw2AFSrVi2HmzVXpKeno1atWihfvjynFSnzYs6cOSAihTIv58Xz589BRJwUz/ud7OxsGBgYKOXF8/79e5QtWxaOjo5yl+SQhSFDhkAoFOLcuXOcyz5z5gyICFevXuVc9vv370FECpeFyI0HDx5AX18fbdu2VZpiVJpyAYClS5eCiLBq1SrOZfft2xe2tracy83KyoKuri6mT5/OuewJEyaAx+Ph4MGDnMvOi1GjRoHP5+eagFBRmjdvjlatWnEuNzk5GUSETZs2cSqXYRh069YNWlpauHbtGqey82uzY8eO0NHRkSnNu7RUqlQJAwYM4FzuxYsXQUS4cOECp3Kzs7PRuHFjmJqa4sWLF5zKzousrCy4uLigVKlSeP36NaeyMzMzoaOjg5kzZ3IqFwA2b94MIspRX4cL0tLSULVqVVSuXJnzZJW/olTlwjAMevXqBQ0NDVy+fJlT2Vu2bAER/VFLRFHOnTsHIuIsQErCnj17QESYOnUqp3ILQiQSoXnz5jAxMUFSUhKnsmfOnAltbW3OTZ/r168HEUlVcEwWoqKiQERYv349p3IL4tu3b6hRowasra3x+fNnTmUPGDAANjY2nMoEgKlTp0JfX5/zOusjRoyAQCCQOkiVK5Rpqm/VqhWaNWvGqUwA6N27N6pWrcqpTIZh0K5dO+jq6uLu3bucyv4dpSoX4Kf5xNHREWXLlmWTHHLBhw8fQERYu3YtZzIBIDw8XOoIeWm5f/8+9PX14e3trdSa1Xnx8eNHlC9fHrVq1eJ0H+nq1asgIpw5c4YzmQDQs2dP1KhRg1OZZ86cgVAoRFBQEKdypeXx48cwNDRE69atOb0HduzYASLC8+fPOZMJAO7u7mjTpg2nMjdt2gQiKjAGTVlcuHABampqnK/05syZAy0tLc5NfFZWVhg6dCinMmfMmAEikjqFlSIoXbkAwIsXL2BqaorGjRtzOhOqWbOmTHUfpMHFxQU+Pj6cyUtLS4Otra3Sl6AFce3aNWhqaqJbt26cbaCKxWIYGxtjwoQJnMgDfs6sypYti+DgYM5kvnr1CiVLloSrq6tcFT+54sCBA+DxeJxer0+fPoHH4yE2NpYzmd+/f4e6urpUQaTScuPGDWhra6Nz585K3cAviGXLloGIOL1e169fBxHhxIkTnMl88uQJiAh79uzhTOaRI0fA5/MxZswYzmTmR6EoFwA4efIkBAIBQkJCOJMZEhKC0qVLc3azfv36FUKhkDPPEoZh4OfnVyhLUGlYt24diAiLFi3iTGa7du3QoEEDzuQ9ePAARIS4uDhO5GVkZKBevXooU6YM3r59y4lMRZgyZQqIiNPU5g4ODujcuTNn8g4fPgwiypGkVBFSUlJQsWJF1KhRA9+/f+dEprwow1QvFothamrK6Ut72bJlEAgESE1N5UReUlISjI2N0aJFC6V6SP5KoSkXAJg7dy6ICJs3b+ZE3qFDh0BEuHfvHifyDhw4ACLCgwcPOJFXmEtQaRk6dCiEQiHOnj3LibylS5dCIBBwtipbsmQJhEIhvn79yom8/v37Q11dHRcvXuREnqKIxWK0bdsW+vr6nN1no0aNQsmSJTmbZIWGhsLc3JwTeRIPSSMjI5mrZCoLZZjqO3bsiLp163IiCwDat2+P+vXrcyJL4iFpZWWlNLf13ChU5cIwDDp37gxtbW3cvHlTYXnfvn2Dmpqa3Llvfmf48OGwsLDg5KEq7CWotGRlZcHV1ZUzz5lHjx6BiLBv3z4Oegf4+vrC2dmZE1krV64EEclcAlvZfPnyBZUrV0bVqlWRlpamsLyjR4+CiDjzRqtduza6dOnCiazx48cXuoekNHBtql++fDn4fD4nDhtisRgmJiYYN26cwrIYhkHXrl2hpaWltJi0vChU5QL8tOfWqFEDFStWREpKisLy3Nzc4O3tzUHPfgYs9ejRQ2E5T58+LfQlqCy8ffsWZcqUQf369RX2nGEYBuXKlZOqzEFBiEQiGBkZYdKkSQrLSkhIgLq6Ovr06aOwLGVw9+5d6Orqol27dgpPZtLT06GhoYH58+cr3K+PHz+Cx+Nh9erVCsvavXs3iAjTpk1TWJYyOHXqFAQCAUaMGKGwrKSkJM4Cu69duwYi4sSjbuHChSAibNiwQWFZslLoygX4uVllZGTEiefMlClTYGBgoPDs4927d5y4qX7//h01a9ZEhQoVCnUJKisXL16Euro6+vfvr7CsXr16oVq1agrLuXz5MohI4WC3d+/ewcLCAnXr1pW6OF1RsHPnThCRVBm2C6JJkyYKF5UCgG3btoGIFK4JdP/+fejp6cHHx6dIN/ALYt68eZzFVFWsWBGDBw9WWE5kZCS0tbUVvnclHpJcTPzkoUiUCwAcPHgQPB4P48ePV0jO+fPnQUQK29QlbpKKBCwxDIMuXboUyRJUHmJiYkBEWLlypUJyNm7cCCJCcnKyQnKmT58OXV1dhTy6srOz0ahRI5iZmXFWNE2ZjBkzBnw+H0eOHFFITkREhMLXDgD69euHypUrKyRD4iFZpUqVIvWQlIZfTfU3btxQSFbfvn1RpUoVhfvUokULtGjRQiEZr169gpmZGdzc3IrMQ7LIlAsATJs2TeGlZHZ2NvT09BReevfu3VuhinYAsGDBAhARNm7cqJCcwqRPnz5QV1dXKGj07du3nCy9mzZtCg8PD4VkBAcHQygU4vTp0wrJKSxEIhFatGgBY2NjqSpH5kVCQgKICPHx8Qr1x9raGoMGDZL7fIZh4OvrCz09Pdy/f1+hvhQW379/h729PSpUqKCQqX7r1q0KB3ZnZGRAW1sbkZGRCsmoW7cuLCwsOA9EloUiVS4Mw8DHx0fhG7FNmzZwd3dXqB/lypVTKMDu9OnTEAgEnMZnFAZc3Yg1atRAz5495T5fsm+gSIDdhg0bQEScxmcUBp8+fUKFChVQs2ZNuV11RSIRDA0NER4eLnc/JPsGu3btkltGRESEUpPKKguJqb5Vq1Zy75N++PABPB4Pa9askbsfp06dAhEplJ6ob9++UFdXx6VLl+SWwQVFqlyAn54zVapUga2trdyeMwsWLIC6urrcD+bjx48Vij14+fIlzMzM0KhRI87TZRQGXPQ/ODgYZcuWldu+fuzYMRCR3F6E169fh5aWFrp06VKsbfx5wUX/fXx84OLiIncfVqxYoZDH06FDh8Dj8TjxcioKuOh/rVq10LVrV7nPHzduHEqUKCH3XvTy5ctBRFixYoXcfeCKIlcuwP82/3x9feV6sO7cuQMikttuLQlYksc+XFyWoIpy+vRpCIVCuVdecXFxICI8fPhQrvNHjx4NMzMzucb/06dPsLKyUmjmXxyQ7F3Ju/JavHgx1NTU5I4R6tSpE5ycnOQ6l4uZf3FAsvKSd/U2cuRIhQK769evj/bt28t1rsRJp1+/fnKdzzXFQrkAwK5du0BEBdazzg2GYWBubo7Q0FC52vb395c7ypyLPYvigmTPSJ69E0l2gyVLlsjVtqOjo1xR5lztWRQXgoODIRAI5NozkmQ3OHDggMznKhJlztWeRXHgV1O9PMHZkuwG8mTkSE1NhUAgkCsuSxJeUK9evWLjIVlslAsAjB07FjweD4cOHZL53C5duqB27doynycJWJLHa03ibVUclqBcwDAMAgIC5PZ2c3Z2hq+vr8znpaSkgMfjyeW1JvG2Onz4sMznFkeysrLg5uYml7cbwzCwsLDA8OHDZW73xo0bICIcP35c5ja58rYqLkhM9fJ4u0nysi1cuFDmdiWZ02XNZCAJjC5ZsiTnWeIVoVgpF5FIhJYtW8LIyEjmWejq1avB4/FkLgCVmJgIIpJ5pljclqBcIYnTkSdVxKRJk2BkZCSzWUQS7yFrZl/JecqovVOUKBKn06NHD9jb28vc5ty5c6GpqSlzZt/58+crpfZOUaNInE6jRo3Qtm1bmdscOnQorKysZD5v2LBhEAqFnGcnV5RipVyAn7PYChUqwN7eXib7+cuXL0FE2LZtm0ztzZo1S+aaJMVxCcolkgwDLVu2lElRnD17FkQkc0LAgQMHwtraWqZz7t27Bz09Pfj5+f2VG/gFcenSJairq6Nv374ynSdJTirr/l/r1q3RtGlTmc6RRLjLs1L6G5BkGJDVVD9lyhS5auFUrVoVvXv3lukciYekPCslZVPslAvwv/TcAQEBMr04KleuLHPEeYsWLdCyZUupj/91Ccp1VbvixOHDh8Hn8zF27Fipz5FU8ZQ14lzWceM6N1dxZcWKFSAiLF++XOpz3rx5I3Ny2KysLOjo6Mg0bhIPQ3d397/SQ1Jaxo0bJ7Op/sKFCzIHdsszbteuXYOWlha6du1aLCdYxVK5AP+LmJclX9KgQYNkmgFnZGRAS0sLs2fPlvqcoKAgTrMKF2emT58us+eMh4eHTDPgFy9egIiwfft2qY4Xi8Xw9vbmNKtwcaZfv34yZ3W2s7OTaQYsWXFeuXJFquMzMjLg5OTEeQHA4ohIJEKrVq1kyuqcnZ0NfX19marOSlac0l5PiYck1wUAuaTYKhfgZ5ZiWUqiSmzwz549k+r4kydPyhSwJLkBuMrCXNyR1KORxXNGVtv9qlWrwOPxpN7fmTp1KudFlIoz8tSjGTp0KMqXLy91GxMnTpRpr6x3795KKV1eXJHUo5HFVN+mTRs0atRI6ja6d+8u9V6ZMkuXc0mxVi7Z2dlwd3eX2nMmJSUFfD5faq8jWQKWJEtQLis5/g2kpaWhatWqUlfSvHnzpkxeR126dEGdOnWkOlYZlRz/Bl6/fi1TJc29e/fK5HXk7OwMPz8/qY5VRiXHv4GbN2/KVElz4cKFUgd2S7z8pM3OPHr0aPD5fBw9elSq44uKYq1cAOD9+/coW7YsnJycpNo8d3JyQqdOnaSSXa9ePXTo0KHA4yQ16GvXrl1sl6DK5MGDB9DX14e3t3eBiphhGJiZmWH06NEFymUYBqVKlUJYWFiBx0pq0Ht4eHBag/5v4ezZsxAKhVKlKPry5QsEAgGWLVtW4LFpaWkQCoWIjo4u8Fhl1aD/W5CY6qVJUXT37l0QkVQu8vfv3wcRSVXzZseOHSAizJw5U5ouFynFXrkAP1Oxa2hoSGVHljbSOzU1FXw+v8CApV+XoNKa2/5FJD740tiRO3XqBEdHxwKPu337tlSZFb59+4bq1avD2tqak2JMfytRUVEgIqxbt67AY+vXrw9/f/8Cj9u/f79UmRWSk5NRunRpNGjQQOEaQH8zI0aMgEAgwMmTJ/M9ThLYPXLkyAJlLlq0CGpqavj27Vu+x925cwe6urrw9/f/K6wnf4VyAYDY2FgQUYGzsePHj0uVo0rysiwonmbUqFF/xRK0MJgwYQJ4PF6BEeArV64En88vMFp7wYIF0NDQyHc1yDAMOnbsCB0dHc4qLf6tMAyDbt26QUtLq8B9wvHjx8PExKTAVV5wcDAsLS3zfVllZWXBxcWFs+qlfzPZ2dlo3LgxTE1N8eLFi3yP7dq1q1SB3T4+PnB1dc33mNTUVFSqVAl2dnaclQBXNn+NcgGAAQMGQE1NDRcuXMjzmB8/fkBTUxNz587NV9aQIUNQoUKFfI/Zvn07iAizZs2Sq7//GpJ66IaGhnj8+HGexz1//hxEhJ07d+Yrz8vLC40bN873mDlz5oCIsGXLFrn6/K8hqYdevnz5fAOGT58+DSJCYmJivvKqV6+OwMDAfI8ZMmQIhEKhwkXc/hUkpnpHR8d8HVfWrFkDHo+HDx8+5HmMSCSCgYEBJk+enOcxYrEYbdq0gb6+vty5+4qCv0q5ZGZmon79+ihdunS+hamaNm2K1q1b5yvL1tY23xK4f9sStLCQeM5Ur14932W8tbU1Bg4cmOf30tThOXHiBAQCAUJCQhTq879GUlISTExM0Lx58zw9vDIzM6GtrZ3vxEiaOjxr164FEWHRokUK9/tfQmKq79WrV57vh1evXoGIsHXr1jzlXLp0qcA6PJMnTwYRYd++fQr3uzD5q5QL8NNzplSpUnBxccnTc2bGjBnQ0dHJ8/vXr1/nOxv+G5eghcmtW7egra2NTp065flg9e/fP9+KhpIKonnVnHjx4gVKlCiBJk2a/NNBevJy9OhR8Pn8fB0nWrZsmW9FQ0kW5rxcnBMTE6GpqYnu3burJli5II2pvkqVKvmmiIqIiICenl6e76q4uDjweDxMnDhR0e4WOn+dcgH+5zkzdOjQXL+X1GLPK9BRMhvLLWBJsgQ1MDD4q5aghc2WLVtARHmaHyW12POyS0+ePBkGBga5zrx//PgBBwcHWFpa5mtS+K8zc+ZMEBF27NiR6/eRkZHQ0tLK08syMDAQ1apVy/W7/7qHpLQUZKofNGgQKlasmOf5jRs3hqenZ67fPXr0CIaGhvD09PwrPST/SuUC/PSwyMtzRiQSwcjIKE9t361bN9SsWTPX7/7WJWhREBISAoFAgBMnTvzx3cePH8Hj8bBq1apcz3V1dYW3t/cfnzMMg8DAQGhoaEgdMf5fhWEY+Pv7Q1dXF3fu3Pnj+2vXroGIcvVsYhgGlpaWGDZs2B/fiUQiNGvWDCVKlPhPe0hKQ2ZmJho0aJCnqV5SSiS3YEdJ9dXcspBIPCRtbGz+Wg/Jv1a5MAyD7t27Q1NTM9dNSz8/Pzg7O+d6XpkyZXK140uWoJMmTVJKn/81srOz0aRJkzw9Z+rUqYMuXbr88fm3b9+gpqaWqx0/OjoaRITVq1crpc//Gl+/foWdnR0qVaqE1NTUHN+JxWKUKFEi18qKjx49AhFh//79f3wXFhYGPp8vc/r9/yr5meo/f/4MPp+fa1mOo0ePgohw+/btHJ8zDIMOHTpAR0fnj+/+Jv5a5QL81Py1a9fO1XNmyZIlEAqFf+yZ3Lt3L9eApUePHsHAwABeXl5/5RK0qPjw4QMsLS3h4ODwh+dMaGgoSpUq9Ye9/uDBgyCiP1LKnD9/Hmpqahg0aJDS+/0v8fDhQxgYGKBNmzZ/3Lvt27dHvXr1/jgnOjoaQqHwj8SfEnNmZGSkUvv8r3Hu3DkIhUIMGTLkj++cnJzQsWPHPz4PCwvL9fmYPXt2gY4AfwN/tXIBgGfPnqFEiRJo1qxZDvv9w4cPQUSIi4vLcXxuAUtfv35FtWrVYGNj88fsT0XBXLlyBRoaGggMDMzxoBw5cgRE9IfJJiQkBGXKlMlx7Js3b2Bubo6GDRv+p4P05GXfvn0goj9cWmNiYiAQCP64r9u1a4eGDRvm+Oz27dvQ0dFBhw4dVBv4crB48WIQEdauXZvj8zFjxsDU1PQPxe/g4ICAgIAcnx0/fhx8Pl/uqrrFib9euQD/G5Bf04hIbMq/14T39vaGm5tbjuPat2//1y9Bi5rVq1eDiHKkEZHYlH+vCV+zZk10796d/X9mZiYaNmwIc3PzfF3MVeTPpEmTwOPxckyonj59+keiT5FIBGNj4xx7kp8/f4aNjQ2qVatWYKS4itxhGAY9evSApqYmrl69yn5+4sQJEFGOSp2fPn36Y0/y+fPnKFGiBJo2bfpPeEj+E8oF+OkZ83uxsJ49e6J69ers/7Ozs/8IWMrtPBXyMWjQIKipqeH8+fPsZ+7u7vDy8mL///79+z9md7mdp0J2xGIxvLy8YGBggEePHrGfW1lZ5TDXXLlyBUTEVi4Ui8Xw9PSEoaFhjvNUyM6PHz9Qp04dlCtXjvV0lAR2z5kzhz1OEqAt2atMT09nz5O1mm5x5Z9RLrltgkmqtN25cwdJSUk4fPgwiIh9iR07duyPFY8K+fl1BfLmzRsAwLRp06Cnp4fk5GQkJSVh+fLlICI2jUhuKx4V8pOamsquQCT7jX369EHVqlXx4cMHJCUlYcKECdDR0WHNj7mteFTIT24rkGbNmqF169bsGPTs2ROVKlUCkHPFU1BGhb+Jf0a5AD+9kCR7J8+ePcOUKVNARDn+eDwe5syZgxs3bsDExOSPvRoVipGcnMzunbx79w7BwcF/jIGamhrmz5+PkydP5rpXo0IxJHsn7du3R0pKCrp37/7HGGhra2P+/Plspt/80o+okJ1f904+f/4MLy8v8Hi8HGOgr6+P+fPns9aT3/dq/nb+KeUC/PT60tHRgUAg+OOB+vWPz+fDzMzsn1mCFifOnz8PoVAIoVCY7xjweDzY2NhIXVhMhfRIvL7U1dXzHQMiQr169VQekkpA4vWloaFR4Bi0adOmqLvLOXz6x3jy5An9+PGDxGJxvscxDEMfP36kK1euFFLP/jukpaWRWCwmkUiU73EA6MmTJ3T69OlC6tl/Bz09PeLxeJSVlVXgsQkJCXT06NFC6NV/Czs7O+LxeJSZmVngsfv376fDhw8XQq8KDx4AFHUnuCI1NZUsLCzox48fxDBMgcfz+XzS0tKiV69ekaGhofI7+B9AMgbp6ekkza2lGgPuUY1B0aMaA6J/auWyZs0aSk9Pl0qxEP1cvaSnp9PatWuV3LP/DpIxkHbOohoD7lGNQdGjGoN/aOUCgGxsbOjp06dSDygREY/HowoVKtCjR4+Ix+MpsYf/PqoxKHpUY1D0qMbgJ/+Mcvn48SOZmpoqdL6JiQmHPfrvoRqDokc1BkWPagx+8s+Yxb59+6bQ+V+/fuWoJ/9dVGNQ9KjGoOhRjcFP/hnloqurq9D5enp6HPXkv4tqDIoe1RgUPaox+Mk/o1xMTEyoYsWKMtsqeTweVaxYkYyNjZXUs/8OqjEoelRjUPSoxuAn/4xy4fF4NGTIELnOHTp06D+xgVbUqMag6FGNQdGjGoOf/DMb+kSqOJfigGoMih7VGBQ9qjH4h1YuRESGhoa0Y8cO4vF4xOfn/9P4fD7xeDzauXPnPzOYxQHVGBQ9qjEoelRjQPTP5RYDgEOHDkFHRwc8Hu+PZHGSz3R0dHD48OGi7uo/i2oMih7VGBQ9/+Ux+CeVC/Cz+NGCBQtQsWLFHANasWJFLFiwQFVxshBQjUHRoxqDoue/Ogb/1J5LbgCglJQU+vr1K+np6ZGxsfE/s2H2t6Aag6JHNQZFz39tDP555aJChQoVKgqff2pDX4UKFSpUFA9UykWFChUqVHCOSrmoUKFChQrOUSkXFSpUqFDBOSrlokKFChUqOEelXFSoUKFCBeeolIsKFSpUqOAclXJRoUKFChWco1IuKlSoUKGCc1TKRYUKFSpUcI5KuahQoUKFCs5RKRcVKlSoUME5KuWiQoUKFSo4R6VcVKhQoUIF56iUiwoVKlSo4Jz/A3OGL86DhpXYAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "seed = 0\n", - "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "id": "b6c70991", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n", - "saving model version 0.2\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "seed = 0\n", - "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", - "x = torch.rand(100,4)*2-1\n", - "\n", - "model.module(0,'[0,1]->[0,1]->[0,1]->[0]')\n", - "model.module(0,'[2,3]->[2,3]->[2,3]->[1]')\n", - "#model.module(2,'[0]->[0,1,2]')\n", - "#model.module(2,'[1]->[3,4,5]')\n", - "\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "id": "05cf43c8", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 3.84e-02 | test_loss: 4.00e-02 | reg: 1.17e+01 | : 100%|█| 50/50 [00:22<00:00, 2.20it" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.3\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "# a formula with a two-level tree structure\n", - "f = lambda x: torch.sin(x[:,[0]]**2+x[:,[1]]**2)+torch.sin(x[:,[2]]**2+x[:,[3]]**2)\n", - "dataset = create_dataset(f, n_var=4)\n", - "\n", - "model.fit(dataset, steps=50, lamb=2e-3, reg_metric='edge_forward_n');" - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "id": "1eb57eff", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "14aaa394", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb deleted file mode 100644 index 39f10a94..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb +++ /dev/null @@ -1,305 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 8: Adding auxillary variables" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "When we do a regression task, it might be good to include auxillary input variables, even though they might be dependent on other variables. For example, to regress $m(m_0, v, c)=m_0/\\sqrt{1-(v/c)^2}$, it is desirable to include the dimensionaless varabile $\\beta = v/c$ as a separate input variable. If we also know this is a task in relativity, we may also include $\\gamma=1/\\sqrt{1-(v/c)^2}$ because $\\gamma$ appears frequently in relativity." - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "id": "3b818211", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.MultKAN import MultKAN\n", - "from sympy import *\n", - "from kan.utils import create_dataset, augment_input\n", - "import torch\n", - "\n", - "seed = 3\n", - "torch.manual_seed(seed)\n", - "torch.set_default_dtype(torch.float64)\n", - "torch.use_deterministic_algorithms(True)\n", - "\n", - "input_variables = m0, v, c = symbols('m0 v c')\n", - "\n", - "# define auxillary variables\n", - "beta = v/c\n", - "gamma = 1/sqrt(1-beta**2)\n", - "\n", - "aux_vars = (beta, gamma)\n", - "\n", - "f = lambda x: x[:,[0]]/torch.sqrt(1-x[:,[1]]**2/x[:,[2]]**2)\n", - "dataset = create_dataset(f, n_var=3, ranges=[[0,1],[0,0.9],[1.1,2]])\n", - "\n", - "# add auxillary variables\n", - "dataset = augment_input(input_variables, aux_vars, dataset)\n", - "input_variables += aux_vars" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "id": "d5f4e2ff", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - } - ], - "source": [ - "model = MultKAN(width=[5,[0,1]], mult_arity=2, grid=3, k=3, seed=seed)" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "id": "4d0048ed", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(in_vars=input_variables, scale=1.0, varscale=0.7)" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "id": "96d43c13", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 5.19e-04 | test_loss: 3.75e-03 | reg: 3.58e+00 | : 100%|█| 50/50 [00:07<00:00, 6.26it" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50, lamb=1e-5, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "id": "e04f7ac9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=input_variables, scale=1.0, varscale=0.7)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "4bea48d3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.2\n" - ] - } - ], - "source": [ - "model = model.prune()" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "15edb27c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 8.92e-03 | test_loss: 8.97e-03 | reg: 3.50e+00 | : 100%|█| 100/100 [00:09<00:00, 10.81" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.3\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=100, lamb=1e-3);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6d538725", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f76ad464", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with x, r2=0.999999999868798, c=1\n", - "fixing (0,0,1) with 0\n", - "fixing (0,1,0) with 0\n", - "fixing (0,1,1) with 0\n", - "fixing (0,2,0) with 0\n", - "fixing (0,2,1) with 0\n", - "fixing (0,3,0) with 0\n", - "fixing (0,3,1) with 0\n", - "fixing (0,4,0) with 0\n", - "fixing (0,4,1) with x, r2=0.9999997733953018, c=1\n", - "saving model version 0.4\n" - ] - } - ], - "source": [ - "model.auto_symbolic()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "40d3e6a9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.0 \\cdot \\left(9.0376427738903 \\cdot 10^{-5} - \\frac{0.852508537795552}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}\\right) \\left(- 1.17312547362696 m_{0} - 1.12252012796077 \\cdot 10^{-7}\\right)$" - ], - "text/plain": [ - "1.0*(9.0376427738903e-5 - 0.852508537795552/sqrt(1 - v**2/c**2))*(-1.17312547362696*m0 - 1.12252012796077e-7)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sf = model.symbolic_formula(var=input_variables)[0][0]\n", - "sf" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "5c092d69", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{m_{0}}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}$" - ], - "text/plain": [ - "m0/sqrt(1 - v**2/c**2)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan.utils import ex_round\n", - "\n", - "nsimplify(ex_round(ex_round(ex_round(sf,6),3),3))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_10_device.ipynb b/tutorials/API_10_device.ipynb deleted file mode 100644 index 99b43ede..00000000 --- a/tutorials/API_10_device.ipynb +++ /dev/null @@ -1,173 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 10: Device\n", - "\n", - "All other demos have by default used device = 'cpu'. In case we want to use cuda, we should pass the device argument to model and dataset." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "7a4ac1e1-84ba-4bc3-91b6-a776a5e7711c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cpu\n" - ] - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "torch.use_deterministic_algorithms(False)\n", - "\n", - "#device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", - "device = 'cpu'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:19<00:00, 2.62it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2f182cc1-51bf-4151-a253-a52fe854919e", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f6f8125e-d26d-4c97-9e5f-988099bb4737", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cuda\n" - ] - } - ], - "source": [ - "device = 'cuda'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "95017dfa-3a2a-43e0-8b68-fb220ca5abc9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:01<00:00, 26.90it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8230d562-2635-4adc-b566-06ac679b166a", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.16" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Extension_1_boundary_condition.ipynb b/tutorials/Extension_1_boundary_condition.ipynb deleted file mode 100644 index df93b6e2..00000000 --- a/tutorials/Extension_1_boundary_condition.ipynb +++ /dev/null @@ -1,256 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "2971746e", - "metadata": {}, - "source": [ - "# Extension example 1: Boudary Condition" - ] - }, - { - "cell_type": "markdown", - "id": "cba1c2b8", - "metadata": {}, - "source": [ - "For some applications, we want to constrain the function space of KANs. This notebook investigates when there are boundary conditions, we can hard code this information into KANs. This can be done by defining a new class MyKAN that inherits the KAN class. The forward() method needs to be overridden." - ] - }, - { - "cell_type": "markdown", - "id": "fb2a4e1f", - "metadata": {}, - "source": [ - "Example 1: $f(x), x\\in [0,1], f(0)=0, f(1)=0$. To construct the condition, we set $f(x)=x(1-x)\\cdot {\\rm KAN}(x)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "ef203d38", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x * (1 - x)\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[1,1], seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([0,1],[0,0], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "cc9ea0cb", - "metadata": {}, - "source": [ - "Example 2: $f(x), x\\in [0,1], f(t_0)=y_0, f(t_1)=y_1$. To construct the condition, we set $f(x)=(x-t_0)(t_1-x)\\cdot {\\rm KAN}(x) + (y_1-y_0)/(t_1-t_0) * (x-t_0) + y_0$." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c439b796", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "t0 = 0\n", - "t1 = 1\n", - "y0 = 1\n", - "y1 = 1.2\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width, t0, t1, y0, y1, grid=3, k=3, seed=1, noise_scale=1.0):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " self.t0 = t0\n", - " self.t1 = t1\n", - " self.y0 = y0\n", - " self.y1 = y1\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = (x- self.t0) * (self.t1 - x)\n", - " return y_kan * y_mtp + (self.y1 - self.y0)/(self.t1 - self.t0) * (x - self.t0) + self.y0\n", - " \n", - "model = MyKAN(width=[1,1], t0=t0, t1=t1, y0=y0, y1=y1, seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([t0,t1],[y0,y1], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "1170c3a7", - "metadata": {}, - "source": [ - "Example 3: $f(x,y), x\\in[0,1], y\\in[0,1], f(0,y)=f(1,y)=f(x,0)=f(x,1)=0$. Set $f(x,y)=x(1-x)y(1-y)\\cdot{\\rm KAN}(x,y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "dba9aac3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/ziming/opt/anaconda3/lib/python3.9/site-packages/torch/functional.py:507: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at /Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/TensorShape.cpp:3550.)\n", - " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x[:,[0]] * (1 - x[:,[0]]) * x[:,[1]] * (1 - x[:,[1]])\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[2,5,1], seed=2)\n", - "x = torch.linspace(0,1,steps=101)\n", - "y = torch.linspace(0,1,steps=101)\n", - "X, Y = torch.meshgrid(x, y)\n", - "inputs = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "mat = model(inputs).reshape(101,101)\n", - "plt.matshow(mat.detach().numpy())\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "07e45f8f", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Extension_2_autoencoder.ipynb b/tutorials/Extension_2_autoencoder.ipynb deleted file mode 100644 index cd96ee3c..00000000 --- a/tutorials/Extension_2_autoencoder.ipynb +++ /dev/null @@ -1,521 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "7939f51d", - "metadata": {}, - "source": [ - "# Extension example 2: Autoencoder" - ] - }, - { - "cell_type": "markdown", - "id": "dfaf3e9e", - "metadata": {}, - "source": [ - "An auto-encoder has an encoder and a decoder. We allow the encoder to be an MLP or a KAN, and allow the decoder to be an MLP or a KAN. (When both encoder and decoder are KANs, it is actually uncessary to separate them: you can combine them into a larger KAN.)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "46adff97", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "from kan.MLP import MLP\n", - "\n", - "# define the AutoEncoder class\n", - "\n", - "class AutoEncoder(KAN):\n", - " \n", - " def __init__(self, width_enc=None, width_dec=None, grid=3, k=3, seed=1, enc_type='kan', dec_type='kan'):\n", - " \n", - " # this is a bit hacky. The class is inherited from the KAN class to make it easy to create the fit() method.\n", - " super(AutoEncoder, self).__init__(width=[1,1])\n", - " \n", - " if enc_type == 'kan':\n", - " self.encoder = KAN(width=width_enc, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif enc_type == 'mlp':\n", - " self.encoder = MLP(width=width_enc, seed=seed)\n", - " \n", - " if dec_type == 'kan':\n", - " self.decoder = KAN(width=width_dec, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif dec_type == 'mlp':\n", - " self.decoder = MLP(width=width_dec, seed=seed)\n", - " \n", - " self.enc_type = enc_type\n", - " self.dec_type = dec_type\n", - " \n", - " def forward(self, x, singularity_avoiding=False, y_th=1000.):\n", - " hidden = self.encoder(x)\n", - " y = self.decoder(hidden)\n", - " return y\n", - " \n", - " def get_params(self):\n", - " return list(self.encoder.parameters()) + list(self.decoder.parameters())\n", - " \n", - " def get_reg(self, reg_metric='fa', lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " \n", - " if self.enc_type == 'kan':\n", - " enc_reg = self.encoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " enc_reg = self.encoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " if self.dec_type == 'kan':\n", - " dec_reg = self.decoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " dec_reg = self.decoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " return enc_reg + dec_reg\n", - " \n", - " def attribute(self):\n", - " self.decoder.attribute()\n", - " self.encoder.attribute(out_score=self.decoder.feature_score)\n", - " \n", - " \n", - " def update_grid(self, x):\n", - " \n", - " if self.enc_type == 'kan':\n", - " self.encoder.update_grid_from_samples(x)\n", - " \n", - " if self.dec_type == 'kan':\n", - " self.decoder.update_grid_from_samples(hidden)\n", - " \n", - " def disable_symbolic_in_fit(self, lamb):\n", - " if self.enc_type == 'kan':\n", - " self.encoder.disable_symbolic_in_fit(lamb)\n", - " if self.dec_type == 'kan':\n", - " self.decoder.disable_symbolic_in_fit(lamb)\n", - " return None, None\n", - " \n", - " \n", - " def fit(self, dataset, reg_metric='act', steps=20, lamb=0., lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " super(AutoEncoder, self).fit(dataset, reg_metric=reg_metric, steps=steps, lamb=lamb, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy, lamb_coef=lamb_coef, lamb_coefdiff=lamb_coefdiff)\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "b9b27f75", - "metadata": {}, - "outputs": [], - "source": [ - "x = torch.normal(0,1,size=(1000,4))\n", - "x[:,[2]] = x[:,[0]]\n", - "x[:,[3]] = x[:,[1]]\n", - "\n", - "fraction = 0.8\n", - "num = x.shape[0]\n", - "train_num = int(num * fraction)\n", - "test_num = num - train_num\n", - "train_id = np.random.choice(num, train_num, replace=False)\n", - "test_id = list(set(range(num)) - set(train_id))\n", - "dataset = {}\n", - "dataset['train_input'] = dataset['train_label'] = x[train_id]\n", - "dataset['test_input'] = dataset['test_label'] = x[test_id]" - ] - }, - { - "cell_type": "markdown", - "id": "21638921", - "metadata": {}, - "source": [ - "Case 1: KAN encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "988cce8e", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.22e-02 | test_loss: 1.27e-02 | reg: 3.36e+01 | : 100%|█| 100/100 [01:02<00:00, 1.61" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=0, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "3474c959", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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9hB76bMh9RiqYcYmTkpISTJkyBd999x2uvfZafPnll2jfvr3cxWpwxDI44QLTkd6XDkQyJsn6vuvWrcOECRNw5MgRPProo5g+fbqq83ppNBq2VSYRzLiIpLq6Gi+99BLeeecdtG3bFh9//DEGDRokd7EYPCIZHPpnNIPD/1MtpMI7CaW0tBQTJ07Ehg0bcM011+DLL79E586dk/JZqYbFY6SBGReBBAIBvPfee3juuefgdDoxY8YMPPzwwzAYDHIXjSGAWMIBtRmcZAXjY1FbW4sXX3wR8+bNQ4sWLfDpp5/i5ptvVlz9SAF/q4xJl8XDjIsAtm/fjkmTJmHnzp248847MXPmTDRr1kzuYjESRE0GRw7vJPTz33//fUyZMgVWqxXTpk3Dk08+CZPJlPTPlhu2VRYf6om4ycCpU6cwduxY/P3vf0cgEMCmTZvw9ttvM8OSxtCJIzRjND84zb+mIDTrr5TQZ0ZKU5+qSe6XX37BlVdeiX/84x+48sorUVJSgunTpzcIw0Lh1zm/TRiRYZ5LGDweD9566y3MmTMHRqMR8+fPx4gRI+rdl8JoGKTqLE6qg/GxOHPmDKZPn47Fixeja9eu2Lx5MwYMGJDycigJdspfOMy4hLB582ZMmTIF5eXleOCBBzB16tQ6V6kyGIB0Bkfu7a5w+Hw+vPnmm3j22WcBAEVFRXjooYdUl4IombBT/rFhveV/HD58GE8//TQ2bNiA/v37Y+XKlejatavcxWKoCKGHP8MlUKTbLnKzZcsWPPbYY9i/fz9Gjx6NWbNmIT8/X+5iKRKmKotOgzcuDocDr776KhYsWIAmTZpg5cqVaat+YcgHnYT4kw/9N52Y/H5/8Hfpn6nqh0ePHsWkSZPw8ccf4/LLL8f27dvRu3fvlHy22mGn/MPTYI0LIQSffvoppk2bhsrKSjz++OOYMGFCgwpSMpJHtPhJtPek+vCn0+nEK6+8gpdffhk5OTlYtWoV7r77bra4igN2yr8uDdK47Nu3D5MnT8YPP/yAG2+8ES+++CLatGkjd7EYKkaKYHwqD38SQvD555/jiSeewIkTJzBx4kRMnToVWVlZgp/BCA+TLp+nQRmXqqoqvPDCC1i2bBkKCgrw+eefN3j1CyN+UhGMT8ZZnJKSEjz++OP45ptvcN1112Hjxo246KKLJCkv4zwsHtNAjIvf78fKlSvx/PPPw+fz4YUXXsCYMWMUcbcEQ13IdTI+9PP4f9Jy8csXzuDU1NTg+eefx8KFC9G2bVusXbsWQ4YMSVm5GyINWbqc9sblp59+wqRJk7B3716MGDECzz77rGLunmcoHyVKhcMRzeDQxdXUqVNht9sxc+ZMTJgwAUajscFNeHLREKXLaWtcKioqMGPGDHz88cfo06cP/v3vf6NPnz5yF4uhApTgnUgBx3HYtm0bHn30UWzbtg133XUXXn75ZbRo0YLdiyMDDW2rLO2Mi9vtxhtvvIG5c+fCYrFg0aJFuOuuu5g0kBERtXgnYjh16hSmTp2K5cuXo2fPnti6dSv69+8ffD3Z2QYYkWko0uW0Mi4bN27EU089hWPHjuGhhx7ClClT0KhRI7mLxVAg6WhQAMDr9WLhwoV47rnnoNPp8MYbb2D06NFRUxcJPfwZ+p50qC854W+VpaN0OS2My8GDB/H000/j66+/xoABA7B69Wp06tRJ7mIxFEa6bHdF4ptvvsHjjz+OAwcOYOzYsXjuueeQl5cX9/MiSaOjGZxI72OEJ523ylRtXGw2G/75z39i0aJFaNasGd5//30MGTIkLRqGkTjp6p2E8vvvv+PJJ5/EZ599hquuugoffPABLrnkkqR8ViyDk6rDn+lGOm6VqdK4EELwr3/9CzNmzEB1dTUmT56M8ePHs9P1jLT3Tvg4HA7MmTMHc+fORX5+Pj788EPcfvvtKf+uiRz+TMd2SYR0OuWvOuOya9cuTJ48Gf/9739xyy234IUXXkDLli3lLhZDJhqKd8KHEIJPPvkETz75JE6dOoVJkybhqaeegsVikbtoQZJx+LMhkQ6n/FXjd509exaPPvoorr76atTW1mLdunVYsWIFMywNEKVcoiUHe/fuxcCBA3HHHXegd+/e2L9/P2bNmqUowxIJfhuFu4iNtmkqLmJTA/z+rMYLyhTvufh8PixduhQvvvgiAGDu3LkYNWoUu1uigRFupZvORiSUc+fOYebMmXjjjTdQUFCADRs24Nprr5W7WAkTy8MB6goH6ERLDVJDaH+1nvJX9Az9/fffY/LkySgpKcG9996L6dOno0mTJnIXi5ECGuJ2Vzj8fj+WLl2KZ555Bh6PB3PmzMH48eNhMBjkLlrSEGtw6O+me/9Q2yl/RRqX48eP45lnnsHnn3+Ofv364bvvvkua+oWhHBpSMF4IP/zwAx599FHs3LkT9957L2bPno1mzZrJXSxZ4BsO/j04QMMyOGqSLivKuDidTsyfPx/z5s1DdnY23nnnHVnUL4zUwLyT8FRUVOCpp57Ce++9h8LCQvz444+49NJL5S6W4mjIhz/VIF1WhHEhhGDdunWYOnUq/vjjDzzyyCOYNGkSMjMz5S4aQ2KYQYmM2+3G66+/jhdeeAFmsxmLFy/GyJEjFTdpKJ2GdPhTydJl2Y3LgQMHMHnyZHz77bcYNGgQPv/8c3To0EHuYjEkpKEH44WwYcMGTJgwAeXl5Rg/fjxmzJiBnJwcuYuVNqT74U8lSpdlMy41NTV4+eWX8fbbb6N169b417/+hcGDB8tVHIaEMO9EOAcPHsSECROwfv16DBw4EJ999hm6dOkid7EaBOl2+FNp8ZiUG5dAIID3338fzz33HOx2O6ZPn46xY8fCaDSmuigMCWHBeHHYbDbMnj0br732Gpo1a4ZPPvkEt9xyC6svmUmHw5/8rTI5pcscSfGpnNWrV2PMmDG4/fbb8dxzz6F58+ap/HjVQgiBz+eDTqdTRAfmQ/ewlTTAlM7o0aPx/vvv46mnnsKkSZNY6iIR0BW53GWgf/Kn0GjZp+WAX75Ux+6Salz27t2LrVu3YuTIkXX+3+/3R2wEs9mcrOKohnBNEsu4pGqwxdNd5J4I5MbhcNT7v0gryoqKCkyYMAFr165NSdnUiNzGJdIYiFSuQCCQMqMjdnwmU2WWVONCCMHixYuh0+kwcuTIBj/JCIUaEr1eX+//1VSHajpNrAROnDiBCRMmYNmyZUwpmSYoaQyETvXJjskkfVuMEIJ33nkHer2eGRgR0K0mtcpQlTSo1AAzLOkDf0pNpdcSjVQbFiAFiSs5jsOYMWPg9XqxfPlyVSVekxONRgO/3y93MeKCtbE4mGFJD/gBf6UdbJRDbJOygD7dItNqtRg1ahRb0QognAJLKZ01GsxrEQ41LMuXL1dFZmNGZEKFLaF/lwu5xmPKZiqO4zB69Gj4/X4sW7aMrW4FENoZ1JBymxkW4TDDkj7w+72SDgnzz7ukmpRLkVmQP34IIUGlnRLrLZz+nxEeZljSByUcWAyH3OVK+R4L82Dih+M4aLVa+P1+RdebkgaYEjl+/DgzLGkCvcRLaYaFIme5Uu65UAghWLJkCTQaDYvBiEQpHky4rsPaMTrMY0kfqGGht0UqCSUICmT7ZI7j8MADDzAPJg6U4MGw9hIPMyzpBZ28lWpY5C6XrNIjukUWCASwdOlSNmGJgOPO368tR5A/0ufJ3ZmVDNsKSy+ULlxRwjadbNtifOgWGfVmGMKhxkWO9BJyd161UFVVhQcffJAZljRB7kB5NJSwHUZJqnEpKysL+/+RcostWbIEc+bMSVZxVEOk3GJA+AldybmLAGaEtmzZgpycHFF58zp16pTEEjESQWxuMaBh5v5LqnHxeDz1/s/r9cLpdCIzMzOsdTUYDMkqjmoI1yQ+ny8YawmHnJ03llqmoRuXcOMglsfJxkF4lBBLiLT4i7bIk3N8xvJmklW2pPpOBoOh3o9Go0Hfvn3x/PPPh32dUf8gFjUqfFdcrsNa4T6Xxn/kLptSCe3jVqsVOTk5WLRoUdgxwMZBeBSwgw8g/Pik/T/SGJWzbABkGZ8p35gzmUz4xz/+gXfffRd2uz3VH69a6Koj9P5vuVHCSlJtvPPOO8E0SIz0gRoXJSGn8ECWqM8DDzwAm82G1atXy/HxqoWqw5SC0hUzSsTr9eKtt97CiBEjkJeXJ3dxVIeS+xpdACrJwMi5+JPFuLRq1QpDhgzBO++8o6iGUDoajSa4t6sEmNcins8++wwVFRUYN26c3EVRFWqZJ5Tkvci9+JNNr/bggw+ipKQE33//vVxFUB10j1QJxkUpA0htLFy4EH/961/RvXt3uYuiOtSwkKHGRQnjQ+4yyGZc+vfvjy5duuDtt9+WqwiqhHovcnccihoGvFLYtWsX/vOf/zCvRSRK6etCoAtApZRZzvEpa/qXMWPGYMOGDTh27JhcxVAdVPUht/fCtsTEs3DhQrRq1Qo333yz3EVRHWrqa0owLnJviQEyp3+54447kJWVhSVLlshZDNUhd2BfCR1XbVRWVuKDDz7AQw89BJ1OJ3dxVIPck3Q80HEh9xiVe3zKalzMZjPuuecerFy5Ek6nU86iqAq5ZclK6LhqY8mSJSCEYPTo0XIXhZEC5PRelLL4kz0BzejRo2G1WvHxxx/LXRRVIZf3opSOqyZ8Ph/efPNNDB8+HE2aNJG7OKpDjX1NTlmyUhZ/shuXtm3bYvDgwXj77bdV6QLLhVyyZKV0XDWxdu1aHD16lAXyRaL2+UAO70VJiz/ZjQtwXpa8b98+/PTTT3IXRTUoSZbMiM7ChQtx+eWXo3fv3nIXRXUoYZKMFyXJkuVAEcbl6quvRkFBAZMliyTVsmQlrYrUwr59+7BlyxbmtYgkHSZkOk5S+V2UtLOgCOOi0WgwZswYrF27FhUVFXIXRzWkOrCvpI6rFhYtWoRmzZrh1ltvlbsoqiMd+hpdAKYCpS3+FGFcAOCuu+6CyWTC0qVL5S6KqtBqtSkxLkrruGqgqqoK7777Lh588EHo9Xq5i6Ma0sFroaRSlqy0xZ9ijEtmZibuvvturFixAi6XS+7iqIZUeS9K67hqYPny5fB6vRgzZozcRWHISCoC+0pc/CnGuADAmDFjcPbsWXz22WdyF0VVJFuWrMSOq3T8fj/eeOMN3H777bjwwgvlLo7qSKe+lgpZshIXf4oyLh07dsTAgQOZLFkkyQ7sK7HjKp2vvvoK5eXlLJAvknQd98n0XpS6+FOUcQHOy5J37tyJ4uJiuYuiGqgs2e/3y10Uxv9YuHAh+vbti379+sldFNWhtElSChqiLFlxxuWaa65Bu3btmCxZJMnyXpS6KlIyBw4cwNdff828FpGk88SbTFmyUncWFGdcNBoNRo8ejc8//xynTp2SuziqIVmBfaV2XCWzaNEiNG3aFLfffrvcRVEd6dzXkiFLVvLiT3HGBQBGjBgBnU6H5cuXy10UVSF1YF/JHVep1NTUYMWKFRgzZgyMRqPcxVEN6ey1UJLhvSh58adI45KdnY3hw4dj2bJl8Hg8chdHNUjtvSi54yqVlStXwuVy4cEHH5S7KAwFImXKJqUv/hRpXIDzsuRTp07hyy+/lLsoqoHjOMm8F6V3XCUSCASwaNEiDBs2DC1atJC7OKqjIfQ1Kb0XpS/+FGtcOnfujKuuuooF9kUiVWBf6R1XiXzzzTcoLS1lgXyRNIQtMYpU1yCrYfGnWOMCnJclb9u2Dbt27ZK7KKqByZLlY+HChejZsyeuuOIKuYuiOpQ8SUpNQ5ElK9q4XHfddWjVqhXzXkSSqPeihlWR0jh06BA2bNiAcePGsXoTQbpPsOGQYmtMDTsLijYuWq0WDzzwANasWYOzZ8/KXRzVkGhgXw0dV2m88cYbyMvLw/Dhw+UuiupoiH0tEVmyWhZ/ijYuAPCPf/wDHMdh5cqVchdFVcQb2FdLx1USNpsNy5YtwwMPPACTySR3cRgqIBHvRS2LP8Ubl7y8PNx+++1YsmQJfD6f3MVRDfF6L2rpuErivffeQ21tLR566CG5i6IqGuKWGJ94ZMlqWvwp3rgA5wP7FRUVWL9+vdxFUQ3xyJLV1HGVAiEEixYtws0334w2bdrIXRzV0ZD7Wjzei5oWf6owLt26dcPll1/OAvsiERvYb+gryXjYsmUL9u/fz+THImF9TbwsWW11pgrjApz3Xn744Qfs379f7qKoBtp5xXgvalkVKYWFCxeiW7duuPrqq+UuiupgfS0+WbJa6k01xmXIkCFo3rw5815EQrfGYnVetiUmniNHjuDLL7/EI488wupNBGpbgScTMVtjatoSA1RkXPR6Pe6//37861//QlVVldzFUQ1CA/tq67hK4M0330SjRo0wYsQIuYuiOlhf+xMhsmQ1Lv5UY1wA4N5774Xf78eqVavkLoqqiBXYV2PHlRun04klS5Zg1KhRsFgscheHoWKEeC9qXPypyrjk5+fj1ltvxZIlS1h6ExHE8l7U2HHl5oMPPkBVVRUefvhhuYuiKtiWWHiixUbVuvjjiMpae+fOnbj66qvxwQcf4Prrr0dlZSVsNhsyMzPRuHFj1TVAqqBnhLRabZ06y8vLA/CnAWKEhxASrDeLxYJBgwahVatWLGt3FPh1RscnoL5JMhUQQhAIBILjkF9vubm50Gg0qqs31c0ovXr1Qq9evTBlyhQUFBQgPz8f7dq1Q35+PgoKClBUVASr1Sp3MRVHbW0t5s+fj44dO7I6E4HVakVRUVGdvta0aVPs2rULLVq0YPUWhnB1lp+fj44dO7K+FgGO41BdXY3XX3+9Xr1ddNFF6qw3ojI2btxIjEYjAVDvh+M4wnEcsVgsZOPGjXIXVTFs3LiRWCyWsHVGf1id1YfWG+1XrN5iE6vO2PgMz8aNG4nZbA7WUTrUm6qMy8aNG4lWq4040OmPRqMhWq1WVQ2RLGidaTQaVmciYPUmHlZn8ZGu9aaamIvVakXLli3hdDoFHQrUaDQwmUw4fvw4cnJykl9ABcLqLD5YvYmH1Vl8pHO9qSbmsnLlSjgcDsGnzQOBABwOR4OWLbM6iw9Wb+JhdRYf6VxvqvBcCCEoKChAeXm56DQJ7du3R1lZmeqUFonC6iw+WL2Jh9VZfKR7vanCuJw9exb5+fkJvZ/KIBsKrM7ig9WbeFidxUe615sqtsVsNltC76+trZWoJOqB1Vl8sHoTD6uz+Ej3elOFccnMzEzo/VlZWRKVRD2wOosPVm/iYXUWH+leb6owLo0bN0aHDh1E7y9yHIcOHToET6E3JFidxQerN/GwOouPdK83VRgXjuMwfvz4uN776KOPKjrolSxYncUHqzfxsDqLj3SvN1UE9IH01oMnC1Zn8cHqTTyszuIjnetNFZ4LAOTk5GDNmjXBu+GjQZO8ffrpp4pvgGTC6iw+WL2Jh9VZfKR1vaU6JUCiRMtdxM8ttmnTJrmLqhhYncUHqzfxsDqLj3SsN9UZF0IIqaqqIkVFRaRDhw51GqFDhw6kqKiIWK1WuYuoOFidxQerN/GwOouPdKs3VRoXSiAQIJs3byYAyObNm0kgEJC7SIqH1Vl8sHoTD6uz+EiXelNNzCUcHMcF9x5zcnIUr55QAqzO4oPVm3hYncVHutSbqo0Lg8FgMJQJMy4MBoPBkBxmXBgMBoMhOcy4MBgMBkNymHFhMBgMhuQw48JgMBgMyWHGhcFgMBiSw4wLg8FgMCSHGRcGg8FgSA4zLgwGg8GQHGZcGAwGgyE5zLgwGAwGQ3KYcWEwGAyG5DDjwmAwGAzJYcaFwWAwGJLDjAuDwWAwJEe1xsVms6G0tBR79+4FAJw8eRIej0fmUikfm82GI0eOAABKSkpw7NgxVm8x8Hq9OHHiBEpKSgAAhw4dwrlz5xAIBGQumbJhfU086TSvcYQQInchxFBeXo4lS5bgyy+/xLFjx+D1euF2u9GoUSP06tUL9957L4YNG4asrCy5i6oo+PV25MgROJ1OGAwGWCwWdO/endVbGKxWK9asWYP3338f+/fvR21tLTweDzIyMpCfn48rr7wS999/P6644grodDq5i6sYWF8TTzrOa6oxLn6/Hx9++CGmTp0Kp9OJ6667Dtdccw1at26NQCCAgwcP4quvvsKWLVvQu3dvLFiwAF26dJG72LLD6i0+fvrpJ0yYMAF79uxB3759MWTIEPTo0QOZmZmwWq3YsWMH1q5di4MHD+KOO+7ACy+8gPz8fLmLLSusr4knreuMqAC/308WLVpELBYLue6668ju3buJz+cjP/74IykqKiJFRUWkpKSEeDwe8t1335HCwkLSqVMnsnfvXrmLLius3uJj06ZNpFmzZqSgoIB88sknxOFwEKvVSt566y1SVFREli9fTpxOJ6mpqSHvvPMOad68ObnmmmvIyZMn5S66bLC+Jp50rzNVGJctW7aQnJwcctttt5Fz586RQCBACCFk2rRpBAABQN59911CCCGBQIAcOXKEXH755aR///6kqqpKxpLLC6s38Rw4cIC0a9eOdOvWjezbty9YZ4cOHSLZ2dkEAGnXrh05d+4cIeR8vW3dupW0bNmSjBgxgrhcLjmLLxusr4kn3etM8QF9p9OJ559/HhdccAHmzZuHnJwccBwX8fc5jkOrVq2wYMEClJaW4r333kthaZUDqzfx+P1+zJ49G1VVVVi4cCG6dOkStc6A8/XWv39/zJ07F1988QU2btyYotIqB9bXxNMQ6kzxxmXHjh34+eef8fDDD6NFixYxBztwviF69uyJ22+/HStWrIDD4UhBSZUFqzfxHDx4EGvXrsWwYcPQv39/QXUGnK+3oUOH4tJLL8XixYvh8/mSXFJlwfqaeBpCnSle4vLtt9/CaDTi73//O0pKSuoM3FOnTgX/fvToUezZsyf475ycHAwdOhTvvfceDh8+rJ4gmESwehPPjz/+CJvNhltvvRWHDx+G3W4Pvnb8+HH4/X4AgMfjwf79+9GoUaPg682bN8ewYcMwc+ZMnDx5Ei1btkx5+eWC9TXxNIg6k3tfLhYjRowgF110ESktLSWtW7cmGRkZwR+dThfcm9Tr9XVeGzlyJPn9999JkyZNyFdffSX310g5rN7EM3nyZJKTk0NKSkrIwIED69SL0WgM1hnHcXVeM5lM5I033iDff/89ycrKIv/973/l/iophfU18TSEOlO050IIgcvlgtFohFarhcvlgsvlCvu7Xq8XXq83+G+PxwODwQCtVovq6moQQgRvc6gdqeot0nvSFafTCZ1OB6PRCLfbHfH70/rl4/P5YDKZQAiB2+1ORXEVAetr4vH7/XA4HGlfZ4o2LhzHoUmTJti2bRv8fj8GDBgAq9UafL2srAzl5eUAgO7du6N58+bB13r06AGr1QqXy4XKykoUFxcjIyMDZrMZJpMp+GM0GtPO6EhRb263G3q9Hg6HA3q9Hnq9PtVfI+U0bdoUTqcTVqsV/fr1g8ViCb7mdDrx448/Bo3I5ZdfHjw4yXEcWrdujdOnT0Oj0SA3N1eur5ASyHmVKQKBAAKBAHJzc1FdXZ1QX8vLy0v110g6hBD4fD74/f46fwYCAWRlZaV/ncnmMwlk8eLFxGQyka1btxKfz1fnZ+rUqUH3ceXKlXVe8/v9ZMWKFeSCCy4g27ZtI6WlpWTfvn1k165dZPv27WTbtm1k27ZtpLi4mOzfv5+Ul5eTP/74g1itVuLxeOT+2gkjRb3t3buX/PHHH+SPP/4gJ0+eJJWVlaSmpoa4XC7i9/vl/oqSEQgESCAQIOvXrycGg4G89dZb9eqstLQ0KEVu27YtOXv2bL16mzJlCrnoootIZWVlUFaaDvj9fuLz+YjH4yEul4s4nU7idDqJy+UiNTU1ZMqUKSQjIyPuvnbhhReS48ePy/014yYQCBCv10tcLhex2WykurqaVFZWkjNnzgR/zp49S6qqqkh1dTWx2WzkjTfeSGh8qqHOFO25AMDf/vY3ZGVlYeXKlbjsssvqpNnQaDR1/q7VaoP/djgcWLlyJa688kr07NkTgUAAXq8XPp8vuKKg//Z6vXA6nXXyRel0uqB3w/d2+J+hVAghuOqqq+Kut1WrVuGyyy5D69atkZGRAY7j4PF4gvVEA91arRYGgwF6vR4Gg0FVKVBImMQU/fr1Q/v27bFy5UoMHz68TsCeX0ccx9WpN0IIKioq8Mknn+DGG29EdnZ2sB9xHBf8UQMkxCvh50/TaDTBn8rKSuzYsQP79u1DIBCA0WiMu6/169cPTZs2Tc0XTBC/31/PE6FCD+D8d9TpdDAYDHXqi98PNBoNBg8ejJkzZ8ZdZ/3798eFF16Ymi8dJ4qfDdq2bYu7774bS5YswS233ILrr78+5kANBAJYsWIFtm7dioEDB6K2thZ5eXkwGo0AEDQoXq832DG0Wi10Oh0CgQA8Hg9cLhecTidqa2tx5syZ4GRkMBjqGRyTyaSIyYMQAr/fj0AggDZt2uCuu+7C0qVLRdfbzp07sWbNGuj1erjdbnAcB71eD7PZDI7j4Pf74fV66xgcAMHfowZHr9fXGShyE86g8OukcePGGDduHJ544gnMnz8fTz31lCCD6Xa7MWvWLDidTjz00EN1jA6dqOln0c9TQn8BUM+Q0Dqik6BOpwtOkIQQlJWVYfv27Thy5AgyMzNx2WWX4ZJLLoHP54trjP7yyy946623UFFRgZycHDRq1EgRdRMIBMIaEX796HQ66PV6mEymOkYg1CCHW2AkOj4///xzxS90FW9cNBoNJk+ejP/85z8YO3Ysli9fjgEDBgQ7vE6nCzYcnVw/+ugjPPvss7j++uuxdetWdO/eHW+//TZuuOEGAOe9EuqZEEKChsbr9SIQCECj0aBRo0Zo3Lhx8PnU2DidTjgcDlRWVgazlXIch4yMjDrGxmw2w2AwpGSg8I0K7fQajQZTpkzBDz/8ILrexo4di6uuugparTbo8VFjQldlGRkZyMjICH4+/3ccDkcdD5AaGjm8m1gGJZT77rsPW7duxZw5c2A2mzF27Njg96T9hm88amtrMWvWLKxatQoLFixAp06d6nwO/axQQ8N/PVWTqVCvhE6IFKfTid27d2PHjh2orq5Gy5YtMXToUHTq1ClYF/GO0YcffhhDhw5FTU0NKisrUV1djdzcXGRmZqZs7ISLi/CNCF14Go3GYPtrNJqgMebXK/39aO1K/icumjx5ctzj84orrkh63SSKahJX/vrrrxgxYgSOHDmCsWPHYuTIkQgEAqioqAAAtGvXDtXV1XjjjTfw4YcfYsSIEZg7dy6qqqowZswYfPXVV7j33nuDp2EjQVfl1LsBzg88vV4fnChpp/H7/XUMDv071axrNJo6BocaHamC46FGhXb60Hq75557cPjwYVH1Zjab632Wz+eDx+MJGmBqLMINIr/fH/Rs+IoXjuPqeDbJ8G5Cu7SYSYoQgjNnzmDcuHFYt24dBg8ejAkTJqBz5844cOAAAoEADAYDOnbsiG3btuGVV17B9u3b4XQ6ceutt+Ldd9+FwWCI+Rn0h19GqQ1NNK+Eeib0JxynT59GcXEx9u3bB0IIunTpgr59+0bcjkm0r3m9XlRVVcFms0Gv1weNjFR1EW5Li29gqRHh/8n3DvhGJLQuaX3GKkPo+6Qan0pENcYFAA4cOIC5c+fi008/hU6nQ5cuXdCqVSv4/X4cPnwYBw4cQOPGjTFlyhTcc889wW0wQgiWL1+OiRMnIjMzE4sXL8Z1110X8/NCYzN0C42uYKnBCcXr9dYxNvRHqngO7eD8Lb1o7z1x4gRmzZqF1atXi6q3SPDrhG6FxTISod4N9RJpffC308R6N2K9k1jP4TgOdrsdixcvxvz583Hq1Cm0b98eBQUFyMrKQlVVFQ4cOICKigr06dMHzz77LKxWK+6++2787W9/w7/+9S/Bg19KQxNqSEK3uMJ5JeGeUVpaiuLiYhw9ehRZWVno3bs3evbsWUc9Fwkp+prH48G5c+fgcDhgMBiQl5cnajIVGhcJNSLh6oXWpZCtrmjQ9gj3HqnHp1JQjXFxuVxwu90wmUwoLS3F+vXrsW3bNpw+fRp6vR7t2rXDgAEDMGjQoIjBwWPHjmH06NH4+uuvMWrUKLz66qvIzs4WXAa+KMDr9QY7C3/rJ9IESwgJbhnxvR232y0qnkMHDhDbqPDx+/0oKSmpV29t27bF3/72t6j1Fqs+aF3QLTOhZeLHvjweTx2Pj7+VxvcWKVIZlNDnhT7j5MmT2Lx5M7777juUl5fD5XIhNzcX3bp1w6BBg9CvX7/gxLd582YMGzYMvXr1whdffCGqb/HLEW6FG+77J+KVhOJwOLBr1y788ssvqKmpQatWrVBYWIhOnTqJ9iz9fj9+/fVXrFu3DsXFxaLGKB+Xy4Wqqio4nU4YjUbk5eXBZDIFXxcaFwn1SKL1E75nEq5OxfaxcM8JR6TxKbbOlIQqjIvf74fNZoPRaAzufwN/urp0S0gIhBAsWbIETz75JLKzs7FkyRIMGjQornL5fL46q3jgT9earsCFBOlC4zlOp7NePMdgMASNT1ZWVkIiAlpv9PmJBgbFbplFew7fswnn3VCDQ8ssxTZSJMMSCp24ok3aP//8M2644Qa0a9cOX331FZo0aZJQuUK3YmhZ4/FKwnHq1Cls374d+/fvB8dx6Nq1KwoLC3HBBRfEXW5aPtoXxI7RUBwOB06fPg2n0wm9Xo+srCzodLqwcRH+n0KMYritLuBP7ySRLdto3kqs9yVaZ0pAFcbFZrOBECLpLWxHjhzBAw88gM2bN2P06NH45z//WUd6Khb+FlqkSVFMR6HxHJvNhtra2qDBofGV0HgO9XbExHP4E4BUe/001iJmyywaoVtp9LnUu+HHbxLdCpOKPXv24Nprr0Xjxo2xceNGtGjRQnSZwm1x0YmKGpJYgeNIBAIBHDhwAMXFxTh27BgaNWqEPn364JJLLpFsL5/2fzHtHisu4nA4UFNTg0AggMzMTDRt2jSu4wGhdQqgjmeSaF8Q6q2kO4o3Lh6PB06nExaLRXKlESEEb7/9NiZNmoTGjRtj6dKlGDhwoCTPpgODf7aG7vVSrybawKMuP30fnUikjuf4/X5JjQu//PFumUULyIeq1+jzAdQRCcT6rNAYh9SUlZVh8ODB0Gg02LRpEzp06BDxd8XGSuKN09jt9uDWV21tLVq3bo2+ffuioKBAclEFXXlHem4icRGbzYaqqip4vV5kZmYiNzc36qJK6q2uaMTrraQjijYugUAgqBzh77VKze+//44HHngAW7ZswdixYzFnzhzJVCqUSGdr6GRIDWckoxINQs7ns+IbG4fDUSf3UKR4Dm3+ZJ1HEbJllmj8hD6f1m9o7CbUu0mGtxKOo0eP4tprr0VNTQ02bdqErl271vFKwgWKQw/dxUKIofnjjz9QXFyMX3/9FRzHoVu3bigsLEzqHj5dtFBvRMq4CP3e1Mj4fD5kZWUhNzc3uF3G3+6ixBOIFwrzVuqjaONit9uDLnCyGysQCODNN9/ElClT0LRpUyxbtgxXX3110j6Lb2z4qx26wpfijIyQeA49s5KZmRk0PslSo/C3zADU2zKTqo2jeTfUczQajaK3KuPh5MmTuP7663H8+HF89tln6NOnD4DEYyXh4MdjfD4ffvvtN+zYsSN4QJFufSVjoUY/k0r5+f0aSCwuEutza2pq6hiZ7Ozs4KJMqq2uWGVg3kp9FGtc6PaPlOdChHDo0CGMGjUK33//PcaNG4eXXnpJkAQzXmhGAI/HE1zR8WMKQoUBYqDxHIfDAYfDAbvdXk+tlWg8Jxz8yY9O+gDqbBUmi1ChAPUeqSfFP+SZiFAinFditVpx2223Yd++ffj0008xYMCApE1CdrsdO3fuxI4dO2Cz2dCmTRv06dMnuPWV6AQYKy4C/GlIaH2KUTWKKQd/uysQCKC2thbV1dUAgNzcXOTk5CQ9Q0S47AuM8yjSuBBy/uSzTqeT5bBQIBDAwoUL8fTTT6NZs2ZYtmwZrrrqKkk/gw7S0AOQfGFA6NkaOgFLPQnTLQyfzyf5+ZxYW1500qdbZokE56MRuhVGvRu+wQn1HmMJMUINSbhYCf273W7Hbbfdhq1bt2L16tXBbBFSUVFREdz60mq16N69O/r06YP8/Pzg9xcbp4k3LpKsrdZwW4mh3kkgEIDVakV1dTU4jgumlEnGQd1kbymrHUUaF6fTGQzWydlwZWVlGDVqFH788Uc8+uijePHFFxM2dpGMSiT4WzxUGEBVWNTgJFpH0YL6ofEcanxC4zl8Y0NT4dDnCTEUUqvMQr+DkHKEbqWF5p2jMTK6CKCEGpJIn+N2uzFixAisXbsWK1aswJ133pnQ96JnI4qLi+ttffEl+6GEGhpqJGm/TDQuIpVIJJFAvN/vh9VqRU1NDTQajaR5y5i3IgzFGRefzwe73Q6TyRQzjUYq8Pv9KCoqwrRp09CqVSssW7Ysrrw+Yo1KJPheTbxna0KJRzYaGs+x2+114jkajSZsvrVY8Rz+lhlVmSWyZRZv8J5OtvTwLn8bT6vVwmg0wmAwBP8UWnc+nw8PPvggVq1ahUWLFmHMmDHivhDOS/N/+eUX7Ny5E3a7He3atUNhYSE6duwY84BgqBdCZfN00UINKK13sf00EXl7Ms6c+Hw+VFVVBXdCEslbxrwVcSjKuFAFiEajSWqcIx4OHDiAkSNH4r///S8mTpyI559/XlBgVCqjEunZ/IwB1EiETg6xoINZzL54pO0ufjyHv7UWTzyHHx+JZ8tMqGEJ3bsPp+Ciq9TQnGmhyj/+dlokAoEAnnjiCSxYsAAvvfQSJk2aJOj7nDhxAtu3b8dvv/0GrVaLHj16oLCwEI0bN673feLJo0X7ZThPQUydBwIBwX0p2WdOKInmLWPeingUZVzoKjErK0uRKwO/34/XXnsNM2bMQNu2bbF8+XJceumlYX+XDrJ4UrUkUr5oZ2siTcxCJ4REJMOJnM/hK5D4MZFYucwilS/UkISb1ISmTuGXje/d8Lf2qMHhP48Qgueffx6zZs3CU089hVmzZoUtq8/nQ0lJCbZv346TJ08iNzcXhYWF6NGjB4xGo6R5tMLVoVhDE8sLDued8J+b7HEvNm8Z81biRzHGhaZ4ycjIUHxitpKSEtx3333YsWMHnnzyScycObPOHne8+b+khG6BUGMT7WwNLXO4rYxEz6DEKqOYeE5GRkZwkgQiq8z4kxZ/MovmlUgpB+afu6FiBaDu5Wr0Z968eZg0aRLGjh2LoqKi4ARWW1sb3PpyOBxo27YtevfujdatW0sSF4nne4UaGvon/zNCjYscZ06EECtvGcC8lURRjHGx2WwAIPnhxWTh8/nwyiuvYObMmejQoQNWrFiB3r17y25UIhHubA2dkOiqmq9Y45PqgSXkfA5/G8psNiM7OxuZmZn1trgS8UqkIvRytVDv5sMPP8Rjjz2Gu+66CzNnzsSOHTvw22+/QaPRoEuXLujevXvwmgj63anxkOq8iBiiKc/o9m8krycZ2SASgd5AS5Pi5uXlwWAwMG9FAhRhXNxuN1wuFzIzMxU1IQth3759GDlyJHbu3Iknn3wSM2bMUMzNlNHgb+fQVbBGowkeLkyGHDhRQuM5DoejTt41juNgsViQnZ2NrKwsmM1mWCwWGI1GRX0XKlqgBtRms+Gdd97Ba6+9hrZt22LEiBEoLCxEz549gwcCk3VeJFH4XiH12Gk5pUj+mCrsdjuqqqrgcrlgNpvRuHFjxe+gKB3ZjQtN8UJPiqsJOqA8Hg9effVVvPjii+jUqROWL18ePImtVPjNToUBdAsn0aSbySJ0e4t+B6owtNvtsNlsQXUXjTcken9OokSKi9TW1mL37t3Yv38/nE4nampqsHjxYvzlL3/B0qVLg6omJV4dHS4QT//O36aUc+tLDLTsNpsN1dXVgvOWMSIju3FJZYoXqYiU/2vPnj247777sHfvXjz99NOYNm2aIuTUlGjxE76ElBqbcGdrhCTdlAq+IQm3Xx+6vUW/i8/ng9vtDt6XQ7cDXS5X1PM54e7PEVteIXm0KioqsHv3bhw8eBAZGRno2bMn+vTpg9zcXHz//fe46aabcPHFF+Ozzz5DVlaW5JerxYOQMyfR4i3831faOA+NrRBy/hC31Wqtl7eMIRxZjUsyMx4nAyFJJb1eL2bPno0XX3wRXbp0wfLly9GrVy+ZSiwuIB8pqB8t6Sb1DKQ6MBdOwcU3JKFGLZoqjL/1B/wp0ab9jq9eC70/J9r5nHDnRcLdu87fziKEBA88nj59Gk2aNEFhYSG6detWbwHyyy+/4LrrrkOzZs2wcePG4LXCfBm02MvV4mkPsYH4aJmQhQoCUkksJRgh5/OWWa1WBAIBNGrUCDk5OYrw4tWAbMaFrg7kSvEihngyFe/atQv33Xcffv31VzzzzDOYOnVqytzreAPyQg5Thno1NIDLv/pZ6NkaMWnmI5VFyPfjb/vR8zw07xUl3Pkc6vnQMtKJ22g0BtVrGRkZUe9dr66uxo4dO7Br1y64XC4UFBSgsLAQ7dq1i1rmX3/9Fddeey3MZjM2bdqENm3aRP1e4e4R4m+lCVm8JXrmROjJ/GiCgFQZGjFKsEAggOrqalRXV4MQguzs7JTkLVM7shkXh8MRdDmV5iZT6GG0eA9AejwevPjii5g9eza6d++OFStWoEePHkkrK5946jSek/rUO6DeDX0//yAnfXaoV0J/N5JXEgmhRiUcVCZMV9l0Ao60peX1euF0OuF2u+H1eoPbbMCf3lu4qwyOHTuG4uJilJWVwWg04pJLLkGfPn2Cqi8h/P777xg8eDA8Hg82btyIiy++WND3C71cDQh//QBQd7sLiP/MidCzUuHel0pDk8i5lXB5y7KzsxU7f8mNLMZFaSleQknUqISyY8cO3HfffSgtLcX06dMxZcoUyTIM85Fqaypet59uF/HTpVBPgX+VQCJp5hMxLEBdEQb1UPx+f53LzGKdF4l0Psdms+HQoUMoKSlBTU0NLrjggqDqq1GjRnHFcyoqKnDttdfizJkz+Oqrr9CzZ0/R35d6NTTuRI08NTJGoxFGozGh7c14sjyEEioOAKQ1NFKdW/H7/cGUMlLnLUsnUm5cqCJDiSlepDYqfNxuN2bNmoWXX34ZvXr1wvLly9GtWzfR5QtFyg7ND+oLfS4/VhK6Pw+gTjJEWl6+Ck3s6pg+Q8jvhnoi4eIiVMBAJbT81PtCsVqt2LFjRzDXV5s2bdCpUyc0btw4ajyHejuxJK+VlZUYMmQIysrKsHbtWlx++eWCyxYuEE89Mn69AJEvVxNCPF6vkLJLIQhIxFuJhpR5y9KRlBsXl8sFj8cje8ZjPsk0KqFs27YNI0eOxKFDh/Dss89i0qRJUSeyZBuUUGLtmwtJMx/p/fyMAWKTbkYyLLTtxObRCrfCjrRlFqlMv//+e3Dry2QyBbe+srOz69VpuHgO/06ZcFJpvndbW1uLoUOHYtu2bVizZg0GDRoUsZ5C24Z+RqStLr53E+nqaFoXqb4uO/R7hRoa+vdIpOKUvdfrxblz52C32+PKW5aupNS4KC3FCx2EqT5V73K5MHPmTLzyyivo06cPVqxYgc6dO9cpF59UroT4K9BoXkmoIYlnNclXoUU7W0PrI1JchF+mePNohdYBP08Yvzwejwd79+5FcXExKisr0bRpU/Tt2xddunQRvdXJ35rjX00dmm+NGhwAuP/++/HNN9/g/fffx7Bhw4LlTSQQH47QFDbhLlfjx27izYQcD0LiNMnyVqLhdrtRVVUlOG9ZupNS46KkFC9KyP/1888/Y+TIkTh8+DCee+45TJw4MVgOOVxrun3FT+FByxKah0tq+Ek3qcyWehD8iZKWJ5l5tCh8ZVxlZSV2796NkpIS+P1+dOrUCYWFhWjdurXknxkt35rP58MLL7yAr7/+Gi+99BJGjBgRNECJxLJiQb2b0MvVAASVghkZGSk/cBvO0BBC6vWZVOJyuXDu3Dm4XK6IecsaAikzLkpJ8aIEowL8uRp3Op2YMWMG5s2bh379+mH58uXo1KlTSj4/XJp5/naI1GnPw5UhnCfCz4PGlzobDIZgjCJVBwd///13bN++HaWlpTAYDOjevTt69uyJJk2apCxFDq0nKhqw2WyYPn06Pv74Yzz++OO444476t2fIzSekwh8kQDf2PCToyZ6dbQY+F42XQDJeXAzXN4yJezYpIqUGJdA4Pz91kajUbYUL3TSoooWOVY10eInP/zwA0aOHInjx4/jhRdewGOPPSap4YuVZp7vlSRj/zzcocNocRH+eaJYSTfp+6TC7XYHt77OnTuHCy64ILj1pdFogp4VISRp6XHCBeJDV+NTp07F3Llz8fTTT2P8+PHBXGVi4zmJwm9HvmcT6epoMZeriS1DuK2xZCjPxEDzlnk8HlgsFuTm5ipSJSs1KTEucqZ4iecApJSICcg7HA5MmzYNRUVFuPzyy7Fs2TIUFBTE9ZnhvBJAWJr5aCetYyHF/SKxVGGhSTfpc/lna+Jp48rKSuzYsQN79uyB1+tF586dUVhYiJYtW9b7Xf6WGZVvx7okLBrhAvFCzpy8/PLLmDZtGiZMmIC5c+cGv7eQeE641DfxGMlo1zWEnruJ53K1aAiNrcQrCJASm82GqqqqBpO3LOnGRa4UL3IalUQVXlu3bsWoUaPwxx9/YPbs2Rg/fnzUgRPLK+F7J0IQIisVmkdLbFxE7DkW/gTGN2R8ryaWGu/QoUMoLi5GeXk5zGYzevXqhd69eyMrK0tQGfifz3F/JpoUcvI7VCgRTyD+zTffxPjx4zFq1Ci8+eabEQ1ErHgOID7fmlj5eujlauFy14W7XC0c8SrBhAgCkgUhDSdvWVKNC61Ieoo5FchlVKRWeNntdkydOhULFizAVVddhaVLl6JDhw51VrjxeCVCvwtdjUeLi9DvGZpHK97ElmINSzho4JlO+PyJi393jdvtxu7du7Fjxw5UVVWhWbNmKCwsROfOneMe6FRlFmnLLNJWlxTB5/fffx+jRo3CLbfcglWrVonadgkEzt+fE3pTqJDzOfy+Eg90cSD0cjX6HqmUYHIZGkLSP29ZUo1LKlO88I0KXTUnu3OEkozP27JlC+6//36cPn0aL774IkaPHl3PgEh1+RU/5QmdmCPFRfh/lwIpDEs4+F6Fz+cLqr5+++03AEDXrl3Rt29ftGjRQrLPpFtm/DMz/FQ4yVLdffHFFxg+fDgGDBiAjz/+OGEZrM/nq2d0QuM5NM9aZmamZPGcaJer0e00o9EoeexGDkOTznnLkmZc6J3pZrM5qfuKdGWdigOQyTYokbwSm82GadOm4Z133sFf//pXLF26FO3bt4/7c4TERfjbFPGeFxFKsgwL//kHDx7E9u3bcfDgQZhMJnTr1g3dunVDZmZmHa8mUWMZeuaEGjW6dURT4CTru/773//GLbfcgl69euGLL76od6BTCvjxHJvNFvRykhHPAf68XC2SDDpUmSYVqRQE+P3+oJHhuPTIW5YU40JI8lO8pMqoJNOghBqScFslfK9k8+bNuP/++1FZWYm5c+fiwQcfTFpcJJGgvtg6oGWRGpfLFdz6slqtaN68eXDrS6vV1jlbQ7eyqOBAaPqTaIF4/lYX/xQ8IaROLjOp+fnnn3HDDTegXbt22LBhA/Lz8yX/DAoN5gMQHc8xm83IyMgQXMf8iT3W1dFSX66WKkOTTnnLkmJcnE5nUBEh9eSUCqOSDIMSK1YSKgmORE1NDSZPnox33nkHAwcOxJIlS9C6dWvJ4yLJyBUVSrIMy5kzZ1BcXIx9+/bB7/ejS5cuKCwsRPPmzaOWhZ+eJlTVRL0b/iQTrg1jTTihKjP+iXcp2bt3L6699lrk5uZi06ZNkm77UYTEWxKN54RTd0UqS2gKm9CsD1JdrpaK7bN0yFsmuXFJVsbjZBsVqQPyYr0SoVDDsWnTJjzyyCOorq7Gc889hxEjRgTrRYq4SKKB2ljPpkjpBZaWlqK4uBhHjhxBZmYmevfujV69esXlPfPP1vDTn/AltImelwqnMpPyGuOysjIMHjwYGo0GGzduRMeOHSV5LiWRTMg+n6+OsQmN51CjYzabYbFY4ornpOJytWQbGjXnLZPcuNTW1oLjOMkqgE5yUp+ql9o7CTUkoXJgsak5hMRF7HY7pk+fjlWrVuGaa67B4sWLJUtHIlZiKua5gHRGxel0Bre+qqur0bJlSxQWFqJTp04J7fGHbnVRY8M//MmfpBJNV5+sLbNjx45h8ODBqKmpwaZNm9C1a9eEn0lJhndLr6emW2rU8PBjLPHGc/hCCykuVwv3/GQZGjXmLZPUuLhcLrjdbslSvEidqkUqgyKlVyLFeZGvvvoKo0ePhs1mw2uvvYaRI0dKMnlLfVJfSsNy+vTp4NYXIQRdunRB3759g1cCi0VM8ke6hRYp6WasszWR4Mty+VtmiSofT58+jeuuuw5Hjx7Fhg0b0Ldv37ifxScZ/SM0tkL/n8Zz+Ntr/HgOVa2Jjefw21FK74b2IanjNPy8ZRkZGcjNzVVs3jLJjAvVbUuV4oWuEJPhqUixiqCDIB6vhI/dbofT6Uz4vIjVasXEiROxYsUKfPnll7jhhhtElyUUqVemtM4Sxel0oqioCBaLBX369EHPnj0TWsXxt1vjOXPC9zyoMKBRo0YJ9Vu6pePz+WAwGBLOSWW1WnHTTTfhyJEjOHDggCRjVErjEs+ByFjxnD59+ojuu1SZxjc4tD0T6WP8hYsUQhl+3rKWLVsqMp1M3MaFqolC/y/agIpUoeGKEGuVm6rAFj9oy/+/aIMg0vfkb2vxn8Xftw6dgKPV54EDB+rtQceawCNJmCO1QbRnRXotni4V7XPOnj1brx5qamqinp/Kzc0VXLZ4+1q49qT/H097Culroc+L1NfKy8vD/n+kNj1z5gz69esXsWxK7R9874VCjXIkYxDNsFLPhU8sIxrJS430PaPVW6T/p2o4PvTQbuj3oUZM7iSZccsmwk2uUmrMlaKK4JeD3/HCbYXFgv4OXZXy38/fAqTJBmPh8/mwZ88e3HjjjcK/kAhiqXNS1UY6na5eDE9oahYhxPs9aHsSQuByueo8h7YljaEICURzHFfnxk76J/079Yr8fn/M/hFNGRfKkSNHMGfOHHz66aeC38Mvo5yErtiPHTsGrVaLQCAAu91eR1aekZERc44KN5alFrXEU2+hZTh37hw0Gk3Q06Jl5nuAchuXuD0XKSeXZJ51kAp+o/GhqwS/3y9oXzYQCMBms8FisYDjuDp7snR1VFlZiSZNmggq14MPPohnnnlG8ntFYkFjApGQ2vj88MMPuOKKKyR5ViwPWyzUi4pEdXU1cnJyYj6HL28Ot2dP1WlOp1OyYG5JSQlefvllLFmyJKYBDK23eGOYyRrvlZWVQYUZ8GfMlm5v0cSd4RKR8rHZbJIJkmKNk3iw2WzQ6XRB4xFJsi33fBr3t+Y4LqwbH++zlA5dHfCDcnSVQ+WpdH82GlarFVlZWcGJgsZWaHyF4zhkZ2cL3jp46623cN999wU9oXTlu+++k+xZUvVb4PzApifuI/2YzWZB7Rkad+Ovumn2AI7jYDKZIm7JiaG4uBhFRUVYtmyZYM+KHzuI9CPkOcmgvLw8uGijQhij0YjMzEzk5eWhWbNmgjw6u90uWZkkFuMCOC/QoGIF/hzEl8YrYU5NyKQ6HA6pyhF2T1FJxGosjjt/53q0QR8IBATlWdPr9aiurhZcrnXr1uGmm26SdNKMhlCvRMqBdfXVV0v2LClXkg6HI+b2g16vh9PpjPszQicLjuMSeh5wPmfdBx98EDWLcrhyRFI/0Z9U9cFwxPL2hW5fZ2ZmStZ3aZ1JiVrOuSQ0ysR0pGRY8FRBV6exENKRhB4CCxdYjITZbMbrr7+OMWPGiHpfPPAVL6nksssuw++//y7JszQajWSToNfrFbTwUJJn+cUXX+Dbb7/Fq6++Kqodo3ln/FW00LEu5ZzgdDrRtm1bSZ5lNpslay+px4nH40lqOh8pSVnqTSUNLrHQE9RCiBYwFLNiFhsTuPjiizFp0iSMGjUK586dE/VeoYgxLFIPKo7jsHr1asmeJcW2EgDBQVOp6yNe8cyqVatw8OBBzJw5M64yxdpyEeq98NVviWyxUX799VfJ6pjjOFitVsmeJaU3V1FRoYgtLyEkZFyEToA04B0NJVeYmIlIqu8RTzbbTp06Yd68eXjiiSfwyy+/xP3Z4QZ3pANuqaRDhw6SPUuK70AIEXxeROqtDLFKIEIIFi5cCLfbjYkTJyp6vPERamCkvj5dSqWVlHWtpkvFEjpEKVT14XK5YDQaY0pbhTxLDuhp2FQT7/aTz+fDc889h4KCAtxzzz2inhHJO4nHsEjdplReKoUMWYqyiVECJaN/i4l9zZ49GwUFBbj99tsl+/xEy0V/lw//fULrjJ/FQyqock/KA9yJtn0qkslKSUKlFBJYjCThDfesZMcL4kUugxfvVqJOp8Pzzz8Po9GIp59+WlS9hhqRRDwWqetNo9Fg2bJlkjxLiv4mZpAno38LEcEQQvDUU0+hsLAwJYaF/7lCCI3ZhL4mhJKSkqScRamsrJTsWVJsjVVUVKjGsAASxFyiDRhCiCA1Df/3+X9XighArtQKtbW1cb+X4zjccccdGD58OO6//35BcZhQIxJt4Ish2kllse1M095LRSr7mJQSVyD24sPv92PcuHEYOnQoBg8eLOlnR0PqOEOsNkpWPFeMOEEIicaVlLr4jkTCucU8Hk9w1cC/YIqeHM3IyBBsbfkpZfjFCj0URAhJmQWXQxlFOXv2rODDlNGorKzExIkT8cQTT6BHjx5hf4d29FTcjRMOoXXscDjw008/oV+/fvB6vaitra0z6Ggm3T59+ggqG39rK1JZpaoTq9Uq6DClUKId9vN6vXjwwQcxceJEdOvWTbLPFIqUB1WjjUFCzie1TMa2Nf/AM4A6CWXpZwPC4j2hhoSvLA2VmUd6v9frVWQOsUjEbVz4KxO32x2sFJp6AUC9bK5CcovxU6DQTsU/rQz8edgsFdDcTqH/F23CidRBwgkDqNghXKDObrejUaNGET/nyJEjYZ8X7vN9Ph+mT5+ODz74IOyz4ukG0QaCVM8CUO/Mzx9//IG9e/ciLy8PjRo1qiPvNhqNMJvNaNOmjaCy8U/FR/LQIrV1pNW5z+cL254OhyNqYF9sHju32x0xDcyWLVug1+vRqlWriJ8XSqQ6A8TnFosWr5Cyf9TW1tabcAk5n44nUt1E20kJHaM+nw8OhyNsNnJKpM+JR5Idqa+5XK6w9el2uyN+n2ReLy+EhNK/hP6bpiWIVNliJiOaRylSBaXKmwhXNrfbHexs4RDzPenKOycnJ+z7on3P0G0WOlFGOixGCIk4uYUrW6wAYqqMS+i2h9frxU8//YSOHTtGPHEdaYUXqa8BkZU4Yr6n1+uF3W6H2WwOWwYhohY+ND9WpAkk0vMibcFFMwjRLlWLZJSjJXQUU2+xksGKWbBVVVXh5MmTaNOmTdg0OdEWpqFlCwQCOHv2LDIzMyOm3BE7DqK1QTRjHYrT6cTZs2dx4YUXhp0n5Y7PJJT+JfTwVEZGRjCPT7gDVkKfFeqZiHlWJOLd/Qv93FCvLJHvabfb4fF4kJWVFTa1TKzvabFY6vxkZmZi3rx5yM7OxoYNG8K+LrRsfAOV6PeMFscR8j0NBkOdn19++QU7d+7EhRdeWO81+iO0bFK2J8dxwc+ntyqK+Z7hnqfX6+sksxT6vNC2t1gsKC0tRU5ODkpLS8O+LqZs9P8i9Vsx9UYn23ieRdOe8H8aN24MvV6PgwcPwuv11ntdzPfUarUwGo1wOByS9A+gftJbIc/iX+1Bf2pqaqDX62E0GsO+LjeSloDeO+FyuRJO50I7mlSH3aRCqjss6GVHmZmZkrqvM2bMwPDhw3Hvvffiv//9b0LPot9RzpQeofj9fvzyyy/o3r17wvvs9B6XRC/jCsVisUCn08FmsyVcdwaDAYQQxQVzpYrP0YlWysmQ4zh07NgROp0OpaWlCdedxWKB3++H2+2WqISJ4/F44HQ6o26by43k5i0jIyOYSylRw0DTdChFNUZvnkz0IJPH44HdbofJZJI8EMlxHJYuXYrevXvj5ptvxuHDhxN+nlLqHwB+++032O12QQH7aNC2pMkgpSYzMxMcx8FmsyVUfxx3PgGjkjJcSHVuI9KZKinQarW46KKL4Pf7cfDgwYTagCYOlTKXYqLU1NRAq9XG9DjlJCm+k8lkCt7xnsjKjbqwSlk589Vw8eLz+YJByGR1jIyMDHz22WewWCy48cYbBSfBDEcsJVWqKS4uRtu2bRPKr0RFFMncPuA4DllZWUHFUSIYDAYEAgHFeC/hRC5iSUXGB6PRiIKCAthstoQXWWazGW63WxFtEAgEUFtbi0aNGiWt7qQgKSOL47hg6muHw5HQxKTVahWxNUYnpERUaoFAILjikPKyq3Dk5+dj3bp1OH78OO68886EBoVSvJeTJ0/ixIkTKCwsjPsZdIuJ7qcnE41Gg8zMzKDiKF5oKnUlZA6XwmtJZSqhzMxMtG/fHmfPnkVFRUXcz6FHKpTgvdDzb0reEgOSmLiS487fYxEIBBJqkNAb1uSCGrh4t8QIIaipqQGAlK04OnfujE8++QSbN2/GY489lpCoQQmHWrdv347s7GwUFBTE/QzqfaYqR5NOp4PFYoHb7Q57Ja9QDAYDfD6f7ONACqOQKsNCycvLQ4sWLXDixIm4k7rS+czpdMo+Dqqrq2GxWFJ2HCNekiop0Gq1MJvN8Pl8cQ8sug0lt/eSqNdSW1sLv9+PRo0apVTJMXDgQCxatAhvvvkm5s+fH9czQlUucuBwOPDrr7+iT58+cU9KVN6e6kFpMBiQkZEBp9MZt/dBRQdyei9SxEiEpoOSmubNm6Nx48YoLy+Pe5vSZDKBEJLwXTqJ4HA44PP54kpsm2qSPsvRcy9utzvuoCQ9UCnX5EZP5sa72uVLjuXIajp69GhMmjQJEydOxNq1a+N6htSpMMSya9cucByHSy65JK7389tQjn1qk8kEg8EAu90e10KJypK9Xq9s7ZDolpjciRfbtWsHi8WCsrKyuJRfWq0WGRkZsm6NVVdXw2g0Spq1OVmkpJWpRNnpdMa19y+3LDkR+TFNR2KxWGRN3fDSSy/h5ptvxl133YWdO3eKfr+csuRAIIAdO3aga9euEQ/oRoNKjpOlDBOK2WyGVquNW6Ks1+tllSUnIj9OhuRYLBzHoaCgAFqtFmVlZXHNJ3QnRg5ZstfrhdPpVIXXAqTwsrCMjAzodLrg4TKxyCVLTkR+7PV6YbPZkJGREdekKCUajQbvvvsuLr74Ytx00004ceKE6GfIFdgvLS1FbW0t+vbtK/q9fMmx3AfLqNAFQFwSZY1GI5ssORGvJZmSY7HodDpcdNFF8Hg8cUmUDQZDcB5LNdXV1YqXH/NJ6Wgzm81BxYXYRpVLlhyv/Njv96OmpgYGg0Exd15bLBZ88cUX4DgON910k+i9Z7lkycXFxWjVqhWaNm0q6n2pkByLhSrI6N00YqGy5FR78fHKj1OpDBNKRkYGOnbsiNra2rD5+WJBBRqpbAMqaVe6/JhPSkccVVwQQmC32+NauaXSuMQrP6aSY41Gk3TJsViaN2+OtWvXoqysDCNGjBA9QFLtvZw+fRpHjx4VLT9OpeRYLHT16fV6Ra+AqQeWSu8lUa9FSYaF0qhRI7Rp0wZnzpzByZMnRb1XDllybW0tCCGKlx/zSflyTqPRwGKxIBAIiFZdaLXaOllsk008N9xRyTEhBNnZ2YobVABwySWX4MMPP8S6devw1FNPiXpvqmXJxcXFyMrKQqdOnUS9L9WSY7Ho9frgwTyx+/epliXHayDkUoYJJT8/H82aNcOxY8dgtVoFv4/jOJhMppTKkmtqalQhP+Yjy16BVquFyWSC1+sVJVFOtSyZei1iBofNZpNFciyWIUOG4LXXXsOrr76Kt99+W/D7UilLdjqd2LdvH3r37i2qLuWSHIvFaDQG1UdiJMapliXHEy+RWxkmlJYtWyI3NxeHDh0S5YnQM3ypkCXT/qEmrwWQybgA51duGRkZoiXKqZIlxyM/djgccLvdyMzMVOyKmc/48ePxyCOPYNy4cfjmm28Evy9VsuTdu3eDEIKePXsKfo/ckmOxmEwm6PV6URJlviw52cTjfShBGSaG9u3bw2QyobS0VPBclEpZck1NTXAhoiZkbX2j0QiDwSBKopwqWbJY+bHb7YbD4YDFYlGFBh04P2HMmzcP11xzDf7v//4Pv/76q+D3AckVVxBCsGPHDnTp0kWwOibZySiThcVigUajESVRprLkZBsYsV4LXfipxbAA5+eUgoICcByHsrIywW1AZcnJjH/RuJzavBZAZuMCnF+5UWmf0EZNtiyZxnWEbqvQ63aVIDkWi06nw0cffYTWrVvjhhtuwOnTpwW9L9mB/bKyMlRXVwsO5FMFlRIkx2LhOC6oKBQqUU6FLFmsB6IkybFY9Ho9CgoK4HK5cOjQIUFtkApZMs1FqBTFqRgUMQrNZjM4jhOsIEu2LFmMyohKjvV6vSo7AHBeObN27Vo4nU4MHTpU0D5ysmXJxcXFaNGiBZo1axbzd5UoORZLPBJlvV6fVFmyGPmxEiXHYjGbzejYsSOsViuOHTsm+D0ulyspbUCzH2dlZamyThUxEunhMkKI4FVAsmTJYuTHVBmm0WhU6bbyadOmDb744gvs2rULo0aNElS3yfJezp49i8OHDwvyWpQsORYLX6IsxMDrdLqkyZLFyo/Vblgo2dnZaNOmDU6dOiXIizeZTMHs71JDt0nVOrcowrgAf0qUhaYnT5YsWYz8uKamJtj4ah9UAPCXv/wFq1atwurVq/Hcc8/F/P1kyZKLi4thsVhw8cUXx/xdpUuOxaLX62EymeByuQRJlOk1yFK3gRhjoXTJsViaNm2KCy64AEePHo15F1IysyVT+bFa+7ZijAvwZxZlr9cbc2DRji+1OypUfmyz2YLyQLWvmPncdtttmD17NmbNmoVVq1ZF/d1kyJLdbjf27t2L3r17x6xXtUiOxZKRkRG8tz2W0EWv14PjOMm9F6GxE7VIjsXSqlUrNGrUCIcOHYrpRVJZciJXKoTidDrh8XhU67UACjMuwJ8SZZfLFVMJQ70XqSY3KmONNVk5nU64XC5kZWVBr9dL8tlKYsqUKRg5ciRGjx6NrVu3Rv1dqWXJu3fvht/vR69evaL+ntokx2Ixm83Q6/XBc1ORoF6blKoxoZ6I2iTHYuA4Dh06dIDBYEBpaWnU+tVqtcHFgFTQ1FFqEwjxUWSvMBqNwTurow0sqWXJQoLCbrcbdrsdZrNZNZJjsXAchzfffBNXXHEFhg0bhoMHD0b9XUAa74XKjzt37hxVHKFWybFY+BLlaPVrMBgklSUL8VrUrAwTilarxUUXXQRCSEyJMt1xkcKD9Pl8sNvtqvZaAIUaF+B8Y+l0Otjt9qiNKlVgX4j82OfzwWazwWg0wmw2J/yZSsZgMOCTTz5BkyZNcMMNN0S9wY/jOEnaoLy8HFVVVVED+VQdpWZlmFCoRJkQEjXJKJUlS2FchHgj6aAME4rBYEBBQQGcTid+//33iL9nNBolkyUrNS+hWBQ9OoVIlKkxSNR7iaU4osko1ao5j4e8vDysW7cOZ8+exW233RZxVSaV97J9+3ZceOGFaNGiRdjX+ZLjdIuzRIJKlOlqNhJ6vR5+vz/hcRBLftyQDAvFYrGgffv2OHfuXNSrKqSQJVMFqlrlx3wUbVyESpQT9V5iyY9pg3MclzbKMKF07NgRn332GX744QeMHTs2rAGhE00ixuXcuXMoLy+PeGcLbaN0kByLRafTwWKxwOPxRAwaU1lyIt6LEPlxQzMslNzcXLRs2RIVFRU4e/Zs2N+hsuRE8o2pXX7MR9HGBThvOGiahUiNlqgsOZb8uLa2VhXJKJPFlVdeiSVLlmD58uWYM2dO2N9JVJa8Y8cOmM1mdO7cOezrtI3UKstMFBrcpSqicCR6DXIsw5FukmOxNGvWDPn5+Th8+DBqa2vrvU6zJcdzXxWluro6KOZQO6qYKXU6HUwmEzweT1iJMh0QiRiXSMFhm80WlAQ2tBUzn3vuuQfTp0/H1KlT8cknn9R7PZGtMY/Hg927d6Nnz55hjYdQFV+6k5GRAYPBALvdHlaiTGXJ8Xov0QL06So5FkubNm2QlZWFgwcPhvUiE5Elu1wueDwe1VxjHAvV9BSDwQCj0RhRoqzVauPKN0bfE27iopLjzMzMtFhJJMrMmTNx55134h//+Ae2bdtW7/V4Zcl79+6F1+tFnz596r3m9/uD10w31BUzH3qoLlySSypLjkexFM0rSWfJsVioRFmn06GsrKyekdfpdHHLkqurq4OHaNMBVfWWjIwM6PV6OJ3OekGzeGXJPp8vrPLI4/HAbrfDZDKpLtV1suA4DsuWLUOvXr1w880317siNl7vpbi4GJ06daqnjmkokmOxZGZmguO4sBJlKksWmmWcEslraQiSY7HodDpcdNFF8Pl8OHjwYL02oLJkMR4kFWyki9cCqMy4AOeDZvSK0dCVm9jAfiT5sc/nQ21tLQwGg+B07w2FjIwMfPbZZzCZTLjxxhtRU1NT53Wx25O///47Kisr68mP0yEZZbKgEmV6rzofqqQT471E8kwaojJMKEajEQUFBbDZbDh8+HC917RarSjvhcqP00mJqrpRSxVkAOoFzujgEOq9hJMf8yXHateZJ4umTZti3bp1OHr0KO688846q2Sx3ktxcTGaNm2K1q1bB/8vnZJRJgsqiQ+Xi89gMAS3E4UQzjNhhiU2mZmZaNeuHc6ePYs//vijzms035iQNiCEBLMfp9NCSpXfhCaLC71mlF6DLHRQhcqPqeQYQIOTHIulS5cu+Pjjj/HNN9/g8ccfryNjFSpLtlqtKCsrq+e1pFsyymRBJcput7tOAJnGp4R4L5G2vZhhEUbjxo3RvHlzHD9+vM5BYzHZkvlXo6cTqjQuQN0kl/yBJVSWHE5+3NAlx2K55pprsGjRIrzxxhtYsGBB8P+FypJ37NiBjIwMdO3aNfh/6ZqMMlkYDAZkZGTA6XTW2eM3GAyCZMnhzrY0dMmxWFq0aIG8vDyUl5cHtyk1Go1gWXJNTU3ayI/5qHoGpRJlt9sdXKUJlSX7fL46gWK73Q6Px4OsrCy2YhbBmDFj8MQTT2DixIlYt24dAGFbY16vNyg/poMq3ZNRJguTyRSUKNNFE63TWEHl0CuJmeQ4Ptq1aweLxYKDBw8Gj0vQ3ZVoGd7p1Qrp5rUAKjcuwPkVmsFggNPpDO79x5Ilh8qPXS4XnE4nLBYLDAZDysqeLrz88su48cYbMXz4cOzevRtAbFnyvn374Ha7g/JjGiNgyrD4MJvN0Gq1QYkyx3HQ6/VRt8ZCPRQmOY4fjUaDgoICaDQalJWVwe/3Q6fTBY1+JOgttumYqzAtepHJZAomjaMKIyDyNcg0WEzTZdhsNmRkZKSNvjzVaLVavPfee+jUqRNuvPFGVFRUxPReiouLUVBQgOzs7DqSYzaxxQdf6EIlyrFkyfxYC5McJ45Op0NBQQE8Hg8OHToEQkhUWbLf70+L7MeRSJuRbDabgxJl6pXQbRZ6be7Zs2eDE5lOp4Pf7w+uHNJJAigHFosFX375JQghuPnmm2G324Pbk6FtcPjwYZw5cwaFhYVMciwhVMoaCARgt9vryJIJIaiqqgIAVFVV1dn+Ysow6TCZTOjYsSNqampw9OhRZGRkBGXJoeOA3nKZrqrUtBnNVEFGCIHdbkd1dTUWLFiAjh07Ij8/H+3bt0d+fj4KCgqwaNEiVFdXB7Xl6bpySDXNmzfH2rVr8dtvv+Gee+5BVVUV5s+fX68NLr30UuzevRvZ2dlMciwxWq0WFosFXq8XDocDDocjOA4GDhwIv9+PgQMHoqCgAPPnz4fVamWGRWIaNWqENm3a4PTp0zh16hQ8Hk+wDZo2bRr8s1evXvjggw/qnRVLG0ia4fP5yJo1a4jZbCYAIv6YzWby8ccfE5/PJ3eR0461a9cSjUZD9Hp9zDZYv3693MVNS1wuF/n4448FjYMNGzbIXdy05NixY6SoqIiYTKaobWCxWMjGjRvlLq7kpJ1x2bhxI9FoNITjuKgNynEc0Wg0admocrNx48aY9c/aILmIGQdarZa1QRIQ2gYajSYt24AjRMIL0GXGarWiZcuWgk/GUi368ePHkZOTk/wCNgBoGwhNO87aQHrYOJAfNg7SKOYCACtXrgybcywSgUAADocDq1atSnLJGg60DYSuWVgbSA8bB/LDxgGQNp4LIQQFBQUoLy8XlZWX4zi0b98eZWVlLKCZIKwN5Ie1gfywNjhP2hiXs2fPIj8/P6H3N27cWMISNTxYG8gPawP5YW1wnrTZFgtNPS6WcNeWMsTB2kB+WBvID2uD86SNcUn0EGS6HmRKJawN5Ie1gfywNjhP2hiXxo0bo0OHDqL3Kum1pXl5eUkqWcOBtYH8sDaQH9YG50kb48JxHMaPHx/Xex999NG0CKDJDWsD+WFtID+sDc6TNgF9gOn7lQBrA/lhbSA/rA3SyHMBgJycHKxZsyaY8TgaGo0GHMfh008/TZvGVAKsDeSHtYH8sDZA+uUWI+R82gWLxUI4jquXeoH+n8ViIZs2bZK7qGkLawP5YW0gPw25DdLSuBBCSFVVFSkqKiIdOnSo06AdOnQgRUVFxGq1yl3EtIe1gfywNpCfhtoGaRVzCQchBOfOnUNtbS2ysrKQl5eXNgEztcDaQH5YG8hPQ2uDtDcuDAaDwUg9aRXQZzAYDIYyYMaFwWAwGJLDjAuDwWAwJIcZFwaDwWBIDjMuDAaDwZAcZlwYDAaDITnMuDAYDAZDcphxYTAYDIbkMOPCYDAYDMlhxoXBYDAYksOMC4PBYDAkhxkXBoPBYEgOMy4MBoPBkBxmXBgMBoMhOf8PNN0D3mhXfzwAAAAASUVORK5CYII=\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "c30b90e9", - "metadata": {}, - "source": [ - "Case 2: KAN encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e52efc2b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.16e-02 | test_loss: 2.59e-02 | reg: 3.83e+01 | : 100%|█| 100/100 [00:33<00:00, 2.96" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6c11693e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "fe7e145c", - "metadata": {}, - "source": [ - "Case 3: MLP encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "97fedb70", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 3.29e-02 | test_loss: 7.09e-02 | reg: 4.95e+01 | : 100%|█| 100/100 [00:22<00:00, 4.43" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "028bdd48", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "687b4388", - "metadata": {}, - "source": [ - "Case 4: MLP encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "170a99ea", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 2.62e-02 | test_loss: 3.64e-02 | reg: 3.19e+01 | : 100%|█| 100/100 [00:04<00:00, 21.95" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "66cbcede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_6_test_symmetry_for_trained_models.ipynb b/tutorials/Interp_6_test_symmetry_for_trained_models.ipynb deleted file mode 100644 index 62180029..00000000 --- a/tutorials/Interp_6_test_symmetry_for_trained_models.ipynb +++ /dev/null @@ -1,353 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 6: Test symmetries for trained models" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, to make target functions clear, we were inputing the symbolic formula. In practice, we want to apply symmetry testing and tree graph plotting to a trained model." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1416f4c8", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.hypothesis import *\n", - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "2a438584", - "metadata": {}, - "source": [ - "Example 1" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0b63eed4", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] + torch.sin(torch.pi*x[:,[1]]) + x[:,[2]] ** 2\n", - "dataset = create_dataset(f, n_var=3)\n", - "model = KAN(width=[3,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f4a151b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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0004TAxwx3377bVVV7dq1628/Ge60004TAxwxixcvrt9++63ef//92rhxYw0PD9fMmTNr/vz5ddNNN9XSpUv9oaLD4MwAAIRzPgUAwokBAAgnBgAgnBgAgHBiAADCiQEACCcGACCcGACAcGIAAMKJAQAIJwYAINz/AOxX+Ig3kiU2AAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "7377c9b3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.77e-04 | test loss: 1.13e-03 | reg: 2.02e+01 : 100%|██| 50/50 [01:03<00:00, 1.27s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "bd0c7fad", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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cbBv/Zs1cTwXXmjeXXnxRSkqSli+XevSwZQXwBTEAbxQUSL16SUuXhjf6LVu6ngqRolUri8TERGnJEltWCAL4ghiAFwoLpb59pYULbWO/dKldhQ74qTZtpGXLbBlZuFDq18+WHSDWEQOIeYWFUv/+0vz5UkKCtHixXWAIOJF27aRFi2xZmTdPGjBAKipyPRVQtogBxLSiImnQIGnuXCk+3n7by8hwPRUiXYcO0oIFtszMmWPLEEGAWEYMIGYVFUlDhkjPPSfFxdmegU6dXE+FaJGZaXsG4uKkWbOku+6SgsD1VEDZIAYQk4JAGjpUmjHDNuYvvGDnkANnols326sUCknTp9syRRAgFhEDiDlBIA0fLj3zjG3EZ8+20wmBkujRw5ahUEiaNk0aMYIgQOwhBhBTgkAaOVKaMsU+njVL6t3b7UyIfn36SDNn2u0//lEaNYogQGwhBhAzgkB64AHp6aft4xkz7NQwoDT072+HCiRp8mRp9GiCALGDGEBMCALpwQelJ5+0j599Vho40O1MiD2DBtnhJ0maNEkaO5YgQGwgBhATxo+XJk6021OnSnfe6XQcxLAhQ8KHoSZMkB55xO08QGkgBhD1Hn3U/kh2iOCee9zOg9g3dKgdKpAsBh57zO08wNkiBhDVJkyQxo2z2089ZWcRAOVhxIjwYamHHw7vmQKiETGAqDVpkr1OQJKeeMLOIgDK06hR4QgYMyYcB0C0IQYQlSZPtjMHJOnxx8O3gfI2enT4MMH994fPZgGiCTGAqDNlSngvwPjx4b0DgCtjx4YPV913n72IFYgmxACiyrRp0rBhdnvsWDtWC0SCcePCYXrvveFTEIFoQAwgakyfHj5TYPRoO4MgFHI7E1AsFLLDBcWHrO6+2y58BUQDYgBRYdas8LUDRo2yswgIAUSaUMheUFh8GGvwYHvXTCDSEQOIeM8/H76a4LBhdhYBIYBIFQrZWQXFh7PuuEOaM8ftTMCpEAOIaPPm2TXhg8B2uz79NCGAyBcK2bJ611227PbrJ82f73oq4OSIAUSshQvt3eKCwA4RTJ1KCCB6hEK2zA4ebMtw797SokWupwJOjBhARFqyROrZUyoqst2s06YRAog+cXF2VsGAAbYs9+ghLV3qeirgeMQAIs7y5VJWllRYKPXta2cRxLGkIkrFxdlZBX372jKdlSWtWOF6KuDn2MQioqxcKXXtahvNXr2kmTMJAUS/uDhblnv2lAoKpC5dpFWrXE8FhLGZRcR46SWpc2fbWHbvLs2eLcXHu54KKB3x8XZmTFaWLeOZmdKaNa6nAgwxgIiwbp3UqZOUn2+/Nc2ZQwgg9sTHS3PnWvTm50sdO0qvvOJ6KoAYQAR49VUpI0M6etSCYN48KSHB9VRA2UhIsNMMO3a0Zb59e+m111xPBd8RA3Bq40bp9tulI0csCBYskBITXU8FlK3ERFvW27e3Zb9dO1sXAFeIATizaZN0221SXp5tDBctIgTgj6QkafHin68Dmza5ngq+IgbgxBtvSG3bSocPS23a2HUFkpJcTwWUr6Qku+5AerqUm2vrxJYtrqeCj4gBlLutWy0AcnKkli2lZcuk5GTXUwFuJCfbtTVatLB1Ij1deust11PBN8QAytW2bVLr1lJ2ttSsmfTii1KFCq6nAtyqUMGusdG0qa0brVrZugKUF2IA5ebtt21PwKFDUpMmdtGVihVdTwVEhooVpdWrbd04dMiC4J13XE8FXxADKBfvvmshcPCg1KiRXWCoUiXXUwGRpVIlC4KGDaUDB+zQwbvvup4KPiAGUObef19q3lzav1+69Va76lpKiuupgMiUmiqtXSvdcoutMy1a2DoElCViAGVqxw57bcC+fdJNN0kvvyxVrux6KiCyVa5sV+W86SZp716L6Q8+cD0VYhkxgDLz4YcWAj/+KP3ud3bZ1SpVXE8FRIcqVSwIbrhB2rPHXlz44Yeup0KsIgZQJj7+2DZeP/wgXX+9hUDVqq6nAqLLOedI69dL9evbutS0qa1bQGkjBlDqPv3UNlrffSddd52998C557qeCohO555r69C119o61bSp9I9/uJ4KsYYYQKn67DMpLU3617+ka66xjVi1aq6nAqLbeefZmxldc42tW2lp0uefu54KsYQYQKn54gvbSH3zjXTVVdKGDVL16q6nAmJD9eoWBPXqSV9/bevazp2up0KsIAZQKnbtso3TV19JdetaCJx/vuupgNhywQX27oZ160r//Ketc7t3u54KsYAYwFn78ks7jvnll9IVV9jGqkYN11MBsalGDVvHrrjCQiAtzcIAOBvEAM7KV19ZCOzcKV12mW2katZ0PRUQ22rWtHXt0ktt3UtLs0MHQEkRAyixb76xEPj8c+mSS6TXX5cuvND1VIAfLrzQ1rmLL7Z1sPiFu0BJEAMokW+/DZ/iVKeObZR+/WvXUwF+qVXL1r3atW1dbNrU1k3gTBEDOGPff28bnU8+kS66yDZGF13keirAT7Vr2zpYq5ZdkKhZM1tHgTNBDOCM/PCDbWw++sj2BGzcaHsGALhz8cXhw3TFlwHfs8f1VIgmxABO248/ht8w5acvYALg3qWXWhDUrGnraPPmts4Cp4MYwGnZt8/eSvXvf7dTm15/Xbr8ctdTAfipyy8Pn9r7/vu2zu7b53oqRANiAKe0f7/UsqX03nvhi55ceaXrqQCcSN26to6ef76tsy1b2joM/BJiAL/owAGpVSvpnXfscqgbNtjlUAFErnr1LAiqV7d1t3Vr6eBB11MhkhEDOKlDh6T0dOmvf7U3G9qwQbr6atdTATgdV19t72VQrZq0bZuty4cOuZ4KkYoYwAllZ0tt2khvvWVvofraa9JvfuN6KgBn4tprbd095xxp61Zbp7OzXU+FSEQM4Dg5OVLbttKWLVLVqvY2xPXru54KQEnUr2/rcNWqtk7fdput48BPEQP4mdxcqV07afNmqUoVaf166be/dT0VgLNxww22LlepIm3aJN1+u63rQDFiAMccPiy1b2+nDVauLL3yinTjja6nAlAabrxRWrdOSk21FxdmZEh5ea6nQqQgBiDJNgodO9rxxZQU6eWXpZtvdj0VgNJ0yy22bqek2KGDDh2kI0dcT4VIQAxAR45ImZn2W0OlStLatVKDBq6nAlAWGja0dbxSJVvnO3UiCEAMeO/oUalLF2nNGqliRftv48aupwJQlho3ll56KbzOd+1q2wL4ixjwWH6+1K2btGqVVKGCtHq11KSJ66kAlIe0tPC6v3KllJVl2wT4iRjwVEGB1L27tGKFlJxsG4NmzVxPBaA8NW8uvfiilJQkLV8u9ehh2wb4hxjwUEGB1KuXtHRpeCPQsqXrqQC40KqV/VKQmCgtWWLbBoLAP8SAZwoLpb59pYULbeVfutSuSgbAX23aSMuW2TZh4UKpXz/bVsAfxIBHCgul/v2l+fOlhARp8WK7wBAAtGsnLVokxcdL8+ZJAwZIRUWup0J5IQY8UVQkDRokzZ1rK/uCBXbREQAo1qGDbRvi46U5c2ybQRD4gRjwQFGRNGSI9NxzUlyc7RnIzHQ9FYBI1Lmz7RmIi5NmzZLuuksKAtdToawRAzEuCKShQ6UZM2zlfuEFO6cYAE6mWzfbixgKSdOn2zaEIIhtxEAMCwJp+HDpmWdspZ49204nBIBT6dHDthmhkDRtmjRiBEEQy4iBGBUE0siR0pQp9vGsWVLv3m5nAhBd+vSRZs6023/8ozRqFEEQq4iBGBQE0gMPSE8/bR/PmGGnCgHAmerf3w4VSNLkydLo0QRBLCIGYkwQSA8+KD35pH387LPSwIFuZwIQ3QYNssONkjRpkjR2LEEQa4iBGDN+vDRxot2eOlW6806n4wCIEUOGhA87TpggPfKI23lQuoiBGPLoo/ZHskME99zjdh4AsWXoUDtUIFkMPPaY23lQeoiBGDFhgjRunN1+6ik7iwAAStuIEeHDkA8/HN4TiehGDMSASZPsdQKS9MQTdhYBAJSVUaPCETBmTDgOEL2IgSg3ebKdOSBJjz8evg0AZWn06PBhgvvvD5+9hOhEDESxKVPCewHGjw/vHQCA8jB2bPjw5H332YuWEZ2IgSg1bZo0bJjdHjvWjt0BQHkbNy78i8i994ZPQUR0IQai0PTp4TMFHnjAziAIhdzOBMBPoZAdLrj/fvv47rvtQmeILsRAlJk1K3ztgJEj7UU8hAAAl0Ihe/HyfffZx4MH27ukInoQA1Fkzpzw1QSHDbNX8BICACJBKGSnNd97r318xx32zoeIDsRAlJg3z95fIAhsN9zTTxMCACJLKCT94Q/SXXfZtqpvX2n+fNdT4XQQA1Fg4UJ797AgsEMEU6cSAgAiUyhk26jBg22b1bu3tGiR66lwKsRAhFuyROrZUyoqst1u06YRAgAiW1ycnVUwYIBtu3r0kJYudT0VfgkxEMGWL5eysqTCQtvdNn26rWQAEOni4uysgr59bRuWlSWtWOF6KpwMTy0RauVKqWtXW4l69ZJmziQEAESXuDjbdvXsKRUUSF26SKtWuZ4KJ8LTSwR66SWpc2dbebp3l2bPluLjXU8FAGcuPl56/nnbM1BQIGVmSmvWuJ4K/4kYiDDr1kmdOkn5+VbRc+YQAgCiW3y8nWbYubNt2zp2lF55xfVU+CliIIK8+qqUkSEdPWpBMG+elJDgeioAOHsJCXaaYceOto1r31567TXXU6EYMRAhNm6Ubr9dOnLEgmDBAikx0fVUAFB6EhNt29a+vW3r2rWzbR/cIwYiwKZN0m23SXl5tnIsWkQIAIhNSUnS4sU/3+Zt2uR6KhADjr3xhtS2rXT4sNSmjV1XICnJ9VQAUHaSkuy6A+npUm6ubQO3bHE9ld+IAYe2brUAyMmRWraUli2TkpNdTwUAZS852a6l0qKFbQPT06W33nI9lb+IAUe2bZNat5ays6VmzaQXX5QqVHA9FQCUnwoV7JoqTZvatrBVK9s2ovwRAw68847tCTh0SGrSxC7CUbGi66kAoPxVrGjbwP/5H9smtmpl20iUL2KgHAVBoDffzFHz5jk6eDBQo0bS6tVSpUquJ4OvgiCQlCMp59+3gfKXkmIXW2vYUDpwIFCLFjnaupVlsjwRA+Vo27ZcNWyYqgMHUnXTTblas0ZKTXU9FXyWm5srKVVS6r9vA26kpkpr10o33pir/ftT1aBBqrZtY5ksL8RAOVq/Pnx7xQqpcmV3swBApKlc2V4/Veyn20yUrVDAfphyk5OTo9R/7wrIzs5WSkqK44ngu+zsHFWubMvkoUPZSk1lmYRbbCfdYM8A4LFQ6MS3AfiFGAAAwHPEAAAAniMGAADwHDEAAIDniAEAADxHDAAA4DliAAAAzxEDAAB4jhgAAMBzxAAAAJ4jBgAA8BwxAACA54gBAAA8RwwAAOA5YgAAAM8RAwAAeI4YAADAc8QAAACeIwYAAPAcMQAAgOeIAQAAPEcMAADgOWIAAADPEQMAAHiOGAAAwHPEAAAAniMGAADwHDEAAIDniAEAADxHDAAA4DliAAAAzxEDAAB4jhgAAMBzxAAAAJ4jBgAA8BwxAACA54gBAAA8RwwAAOA5YgAAAM8RAwAAeI4YAADAc8QAAACeIwYAAPAcMQAAgOeIAQAAPEcMAADgOWIAAADPEQMAAHiOGAAAwHPEAAAAniMGAADwHDEAAIDniAEAADxHDAAA4LlQEASB6yF8EQSBcnNzJUmVKlVSKBRyPBF8xzKJSMMy6QYxAACA5zhMAACA54gBAAA8RwwAAOA5YgAAAM8RAwAAeI4YAADAc8QAAACeIwYAAPAcMQAAgOeIAQAAPEcMlIKcnBzVqFFDoVBIl1xyifLz80/4eXl5eWrYsKFCoZCSk5P15z//uXwHhTdYJhFpWCYjGzFQClJSUjRmzBhJ0s6dO/X8888f9zlBEKhXr1568803FQqFNGfOHDVp0qR8B4U3WCYRaVgmI1yAUpGXlxdcdNFFgaSgdu3awZEjR372/0eMGBFICiQFTz31lKMp4ROWSUQalsnIRQyUopkzZx5bkJ999tljf/+HP/zh2N8PHz7c4YTwDcskIg3LZGQiBkpRQUFBcMUVVwSSglq1agVHjhwJli1bFsTFxQWSgs6dOweFhYWux4RHWCYRaVgmIxMxUMoWLlx4rG4HDBgQVKhQIZAUNG7cOMjLy3M9HjzEMolIwzIZeUJBEARl+6oEvwRBoOuvv17bt28/9ndXXXWVtmzZonPOOeekXzdv3jy98cYb+tvf/qYdO3bo6NGjmj17tvr27VvmMyO2lWSZ/Prrr7VkyRKtXbtWH3/8sb799ltVq1ZNDRo00P3336+bbrqpfIZHTCrJMrl//349/PDDevvtt7Vz507t27dP1atX15VXXqm7775bHTt2VCgUKp8fIAZxNkEpC4VCGjhw4LGPL7jgAr388su/GAKSNHbsWM2YMUO7d+9WzZo1y3hK+KQky+TUqVM1YsQIffHFF2rRooVGjhyphg0bauXKlbr11lu1ePHicpgcsaoky+SePXv03HPPKSUlRRkZGRo5cqTS09P1f//3f8rMzNTgwYPLYfIY5nS/RAz69NNPg+rVqx/bBZaSkhJ89913p/y6V199Ndi1a1cQBEEwceLEQFIwe/bsMp4WPijJMrls2bJg8+bNx/395s2bg8TExKBatWrszkWJlWSZLCgoCPLz84/7+4MHDwb16tULJAUffPBBWY0c89gzUIq+//57tW7dWnv27NF5550nyS608fvf//6UX9u8eXPVrl27rEeEZ0q6THbs2FGNGjU67u8bNWqktLQ07d27Vzt27CiTmRHbSrpMxsfHKyEh4bi/r1y5slq1aiVJ+uyzz0p/YE8QA6UkJydHbdu21RdffKHU1FStX79eGRkZkqTp06fryy+/dDsgvFNWy2RiYqIknXDDDPySslgm8/LytHHjRoVCIdWrV6+UJ/aI610TsSA/Pz9IT08PJAUJCQnB2rVrgyAIgvfffz8IhUKBpKB///6n/f04TICzVdrLZLHdu3cHycnJwa9+9augoKCgtMdGDCutZXLfvn3BuHHjgoceeigYPHhwUKtWrUBSMG7cuDL+CWIbMVAKBgwYcOzY15/+9Kef/b/MzMxAUhAfHx988sknp/X9iAGcrdJeJoMgCI4ePRo0btw4kBTMnTu3tEdGjCutZXLnzp3Hvo+kIDExMXjyySeDoqKishw/5hEDZ2ncuHHHFsqHHnrouP//wQcfHLuYRpcuXU7rexIDOBtlsUwWFhYGPXv2DCQFAwcOLO2REePKYpksKCgIdu7cGUycODFISkoKOnTocMIXGOL0EANn4aeX1ezTp89JP69bt26BpCAUCgXvvffeKb8vMYCSKotlsqioKOjfv38gKejZsydXh8MZKavt5E9NmjQpkBQ888wzZzesx4iBElqzZk2QkJAQSAqaN28eHD169KSf+9FHHwXx8fGBpKBNmzan/N7EAEqiLJbJwsLCoF+/foGkICsri9cJ4IyU5Xbyp7Zv335GexVwPF4OXEJt2rQ56ftx/6e6deuqoKCgjCeC70p7mSwqKtIdd9yh2bNnq2vXrnrhhRcUHx9fGqPCE+W1nfzmm28kcYbL2eDUQgDHKSoq0oABAzR79mx17txZ8+bNIwTg1Pbt23XgwIHj/n7v3r0aM2aMJCk9Pb28x4oZvDdBhJg5c6a2bNkiSdqxY4feffddNWjQQJdddpkkKSMj49j5uEBZGz9+vB555BGlpqZq2LBhJ/yNKyMjQ9ddd135DwcvDR8+XDNnzlRaWppq166tlJQU7d69W2vWrFF2drY6deqkxYsXKy6O33FLgn0qEWLLli2aM2fOz/7uzTff1JtvvilJqlOnDjGAcrNr1y5JUnZ29kmvDFenTh1iAOUmMzNTBw4c0F/+8hdt3rxZubm5qlatmho2bKjevXurW7duvFHRWWDPAAAAnmN/CgAAniMGAADwHDEAAIDniAEAADxHDAAA4DliAAAAzxEDAAB4jhgAAMBzxAAAAJ4jBgAA8BwxAACA5/4fgB9eEmtbDNsAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "0be943ea", - "metadata": {}, - "source": [ - "Example 2" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "62cdea16", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] * x[:,[1]] * x[:,[2]] / x[:,[3]]\n", - "dataset = create_dataset(f, n_var=4, ranges=[0.5,2])\n", - "model = KAN(width=[4,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "675773b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f65dc471", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.49e-03 | test loss: 3.76e-03 | reg: 2.94e+01 : 100%|██| 50/50 [01:17<00:00, 1.55s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "d4612e9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "38f93d8e", - "metadata": {}, - "source": [ - "Example 3" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "350537db", - "metadata": {}, - "outputs": [], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=2)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "19a6fa5d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "0a3d84fe", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.14e-03 | test loss: 6.70e-03 | reg: 7.63e+00 : 100%|██| 50/50 [00:20<00:00, 2.46it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "38d1e510", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "e955f277", - "metadata": {}, - "source": [ - "It doesn't always work. One may need to tweek seed (with unlucky random seed, it can get stuck at bad local minima)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "acacd12c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.86e-01 | test loss: 3.13e-01 | reg: 3.46e+01 : 100%|██| 50/50 [00:19<00:00, 2.51it/s]\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=4)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)\n", - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "1333bed5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "05cf43c8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_7_Building_in_structural_biases.ipynb b/tutorials/Interp_7_Building_in_structural_biases.ipynb deleted file mode 100644 index ee98fccc..00000000 --- a/tutorials/Interp_7_Building_in_structural_biases.ipynb +++ /dev/null @@ -1,401 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 7: Building in structural biases" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, we have shown how to test hypothesis for a trained model. If you are content with the insights (tree structure and symmetry properties), you can simply stop here. However, if you want to leverage these properties and apply these inductive biases to your neural network, this notebook walks you through a few possiblities." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "3b818211", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "4e9926ed", - "metadata": {}, - "source": [ - "Case 1: Separability\n", - "\n", - "* if you have confirmed that $f(x_1,x_2,x_3,x_4)=f_1(x_1)f_2(x_2)f_3(x_3)f_4(x_4)$, you can make the last operation to be multiplication. And you can use model.module to create modules so that variables do not interact." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "cbe4788b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000, scale=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f5aff4ae", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n", - "saving model version 0.2\n", - "saving model version 0.3\n", - "saving model version 0.4\n" - ] - }, - { - "data": { - "image/png": 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rV65EXFwc0tLS9GZ40mg0qFKlClq1aoX3338fbdu2faK/wd27dzFx4kQsWrRI3ubg4ICZM2di7Nixio6REELg+vXreoXHiRMn5K5hD1OrVi29wqNx48awsbExUtRERKaFhQYRWZWkpCS9i8djx44hJyen1H18fHz0Lh6bNm0KOzs7I0X8aOfPn8fQoUMRGRkpb3vuuefw888/4+WXXzbIMYQQyMvLQ3p6OvLz8+Hg4IDy5csbpBjYv38/hg8fjoSEBHlb69atsXLlSjz//PPP/PqGkpeXh5iYGL2itOR4kwdxcHBAixYt9IrSSpUqGSliIiJlsdAgIouVn5+PkydP6hUWJbvqPIi9vT1atGihV1h4e3sbKeIno9VqMW/ePEyZMgV5eXny9rFjx2LWrFllOtDc0LKzs/HZZ5/hhx9+kLfZ29tjxowZGDdunMnOAHXjxg29bnbHjx/Xa1F6kOrVq+sVHk2aNHnkWiVEROaIhQYRWYzr16/rDfA9fvy43gX4g9SsWVPvoq9x48ZmcdF39uxZDB06FNHR0fK22rVrY8WKFWjXrp2CkT2bv//+G8OGDcPFixflbf7+/li5ciXq16+vYGSPJz8/H6dOndL7HJZsqXkQOzs7NG/eXO9zWKVKFSNFTERUdlhoEJFZys3NxYkTJ/Qu6K5fv17qPo6OjvDz85Mv6Fq1aoWKFSsaKWLDKCwsxNy5czF9+nR5vIAkSfjwww/x5ZdfwtHRUeEIn929e/cwefJkzJ8/X1413c7ODtOnT8fHH39sdjM9JSUl6U2FfPTo0UcOsq9atape4dG0aVPY29sbKWIiIsNgoUFEJk8IgatXr+oVFSdOnEBBQUGp+9WuXVvvYs3X19fsLlJLio2NxdChQ3Hs2DF5W926dbFy5Uq0adNGwcjKxqFDhzBs2DC9qYRbtGiBlStXolGjRgpG9mwKCwtx5swZvS59//77b6n72NraomnTpnpd+nx8fBSdgICI6FFYaBCRycnJydFbYO3IkSNITEwsdR9nZ2e0bNlSr7XC09PTSBGXrYKCAsyePRszZsyQiyuVSoXx48fjiy++UGQaXWPJycnB1KlTMW/ePHnGKxsbG0ybNg0TJkywmBmdUlNT9cZ6REdHIysrq9R9KleurFd4tGjRwqI/C0RkflhoEJGihBBISEjQu7t76tSpRy6eVq9ePb2LrIYNG5rsgOFncfr0aQwZMgQxMTHytvr162PlypXw9/dXMDLjOnLkCIYOHYpz587J25o2bYpVq1ahcePGCkZWNrRaLf755x+9Ga7Onz9f6j4ajQYvvPCCXitezZo12epBRIphoUFERpWVlYVjx47JhcWRI0dw69atUvcpV64c/P395Yunli1bonz58kaKWBn5+fn46quv8OWXX8pFl0qlwoQJEzBt2jSr7K+fm5uL6dOnY+7cuXqtG5MmTcJnn31mFoP4n8Xt27cRFRUlFx9RUVHIzMwsdR8vLy+9gtzPz8+sZiMjIvPGQoOIyowQAvHx8XpdoE6fPq236Nt/SZKEBg0a6N2VrVevHlQqlREjV1ZMTAyGDh2KU6dOydsaNmyIlStXws/PT8HITEN0dDSGDh2Ks2fPytteeOEFrFq1Ck2aNFEuMCPT6XSIi4vTy6+zZ8+itNO6Wq2Gr6+vXn7Vrl2brR5EVCZYaBCRwWRmZuLo0aNyV48jR47g9u3bpe7j7u4uj6kobq0oV66ckSI2Lfn5+fjyyy/x1Vdfya0YarUaEydOxJQpU0xqkUCl5eXl4X//+x++/vpraLVaAEVdhz777DNMnjzZ4ls3HiYjIwPR0dF6LYZ37twpdR8PDw+9HPTz84Orq6uRIiYiS8ZCg4ieik6nw/nz5/XupsbGxpZ6N1WlUqFRo0Z6d1Pr1KljVa0VD3Ps2DEMHToUsbGx8jZfX1+sXLkSzZs3VzAy03b8+HEMHToUZ86ckbfx7/b/6XQ6xMfH642Bio2NfWSrYqNGjfS6XD3//PPMUyJ6Yiw0iOixpKen39c/PD09vdR9PD097+sf7uLiYpyAzUReXh6++OILzJkzR+/O/KRJk/D5559b7Z35J5Gfn4+ZM2di1qxZei1Bn376KaZOncqWoP+4e/cujh49qneTIDU1tdR93Nzc4O/vL+eyv78/3NzcjBMwEZktFhpEdB+tVou4uDi9u6BxcXGl7qNWq/HCCy/oFRa1atVi3+9SPGisQZMmTbBy5UqrGmtgKCdPnsSQIUP0xrY0aNAAq1at4tiWUgghcPHiRb18P336tFz4PkyDBg308r1+/foWOfMbET09FhpEhLS0NL2Vi6OionD37t1S96lYsaJeF6jmzZtzNpvHlJubi2nTpuGbb77Rmz1pypQpmDhxosWsDaGEgoICebaukmuOfPLJJ5g+fbpVztb1NLKzs/XWsomMjHzk7HCurq73rWVj6bPDEVHpWGgQWZnCwkLExsbqdZsoufLyg2g0Gr1ViVu3bo3q1auzteIpREZGYtiwYXrrQTRr1gyrVq2Cr6+vgpFZltOnT2Po0KE4ceKEvK1evXpYuXIlWrVqpWBk5kkIgcuXL+t9b8TExDxyvZu6devq3ZBo2LAhNBqNkaImIqWx0CCycCkpKXp3JY8ePYrs7OxS9/H29ta7OGjWrBlXHH5GOTk5mDJlCubNmycPmLe1tcW0adPwySefsBWjDBQUFGDu3LmYPn26XuvGRx99hP/973/8TD+jnJwcnDhxQq/L1c2bN0vdx8nJCS1bttTrclWhQgUjRUxExsZCg8iCFBQU4PTp03p3HS9evFjqPra2tmjWrJleYVG1alW2VhhQREQEhg0bhvj4eHmbn58fVq5ciYYNGyoYmXWIjY3F0KFDcezYMXlb3bp1sWLFCrRt21bByCyLEALXr1/XKzxOnDiB/Pz8UverVauWXuHRuHFjFt5EFoKFBpEZS0pK0jupHzt2DDk5OaXu4+Pjo3dSb9q0KWflKSPZ2dmYNGkSvv/+e7kVw87ODjNmzMC4cePYhcSICgsL8e2332Lq1Knyha8kSfjggw8wc+ZMODo6KhyhZcrLy0NMTIze99S1a9dK3cfBwQEtWrTQu/lRqVIlI0VMRIbEQoPITOTn5+PkyZN6J+wrV66Uuo+9vT1atGihV1h4e3sbKWLr9vfff2PYsGF6LUqtWrXCihUrUL9+fQUjs25xcXEYOnQooqKi5G21atXCihUr0L59ewUjsx43btyQFxOMjIzE8ePHkZubW+o+NWrU0Psea9KkCad+JjIDLDSITNSNGzf0iorjx48jLy+v1H1q1qypdxewcePGPBkbWVZWFj777DP8+OOP8jZ7e3t8+eWX+PDDDzn9pwnQarX47rvvMGXKFL0L3DFjxuCrr77i7GlGlp+fj1OnTul1+UxISCh1Hzs7OzRv3lzv+65KlSpGipiIHhcLDSITkJube1/3guvXr5e6j6OjI/z8/OSTrL+/P7sXKGz//v0YPny43kVS27ZtsWLFCtStW1fByOhBzp8/j2HDhuHw4cPytpo1a+Lnn3/GK6+8omBklJSUpDfl9tGjR3Hv3r1S96latape4dG0aVNOZ0ykMBYaREYmhMDVq1fvmybyUQMma9eurXcS9fX1ZR9/E3H37l18+umn+Omnn+RtDg4OmDVrFsaMGcNWDBOm1Wrxww8/4PPPP9cb3/Tuu+9i9uzZXMneRBQWFuLMmTN6N2P+/fffUvextbXVm5a7VatW8PHx4UQXREbEQoOojOXk5OgtfHXkyBEkJiaWuo+zs/N9C195enoaKWJ6Env27MGIESP0xsu0a9cOK1asQO3atRWMjJ5EfHw8hg8fjoMHD8rbqlevjp9//hkdO3ZUMDJ6mNTUVL3v1ejoaGRlZZW6T+XKlfXWA2revDmnOSYqQyw0iAxICIGEhAS9u26nTp165KJW9erV07vr1rBhQ94FN3GZmZn4+OOPsWzZMnmbo6MjZs+ejdGjR0OlUikYHT0NnU6HhQsXYuLEiXrddN555x3MnTsXrq6uCkZHj6LVavHPP//off+eP3++1H00Gg2aNGmi9/1bs2ZNtnoQGQgLDaJnkJ2djaNHj+rdVbt161ap+7i6usLf31++o9ayZUuUL1/eSBGTIYSFheHtt9/Wm6bz5Zdfxs8//4znnntOwcjIEC5duoThw4cjPDxc3latWjUsX74cnTt3Vi4wemK3b99GVFSU/B0dFRWFzMzMUvfx8vLSKzz8/Pw4QQDRU2KhQfSYhBD4999/9e6WnTlzBlqt9qH7SJKEBg0a6J206tevz7vdZio9PR3jx4/HihUr5G3Ozs6YM2cORo4cyf9XC6LT6bB48WJMmDAB2dnZ8vbhw4fj22+/Rbly5RSMjp6WTqdDXFyc3s2hs2fPorRLIbVaDV9fX70xcrVr12arB9FjYKFB9BCZmZk4evSofDI6cuQI0tLSSt3H3d1dHlNR3FrBCxLLsGPHDrzzzju4ceOGvK1jx45Yvnw5atSooVxgVKYuX76M4cOHY9++ffK2KlWqYOnSpQgKClIwMjKUjIwMREdH633X37lzp9R9PDw87vuu58QBRPdjoUGEortc58+f17vLFRsbW+pdLpVKhUaNGund5apTpw7valuYO3fu4KOPPkJISIi8zcXFBd988w3efvtt3tW0AkIILFu2DB9//DHu3r0rbx88eDC+++47uLu7KxgdGZpOp0N8fLxe63VsbCx0Ot1D95Ek6b7zQd26dXk+IKvHQoOsUnp6+n39dtPT00vdx9PT875+u7yDZdn+/PNPjBw5Um+WsM6dO2PZsmXw8fFRMDJSwtWrV/H2229j9+7d8rbKlStjyZIl6Natm4KRUVm7e/euXgt3ZGTkI1u43dzc7mv1cHNzM07ARCaChQZZPK1W+8A+uaVRq9V44YUX9AqLWrVq8e61lUhLS8MHH3yA1atXy9tcXV3x3XffYejQofwcWDEhBFasWIFx48bpDSoeOHAgFixYwIkdrIQQAhcvXtQrPE6fPv3IMXv169fXO680aNCArR5k0VhokMW5ffu23M82MjIS0dHRjzXLSPEsUK1atUKLFi04y4iV2rJlC0aNGoXk5GR5W1BQEJYsWYKqVasqGBmZkuvXr+Odd97Bzp075W0VK1bE4sWL8dprrykXGCkmOztbb82kyMjIx5qF8L9rJrFYJUvCQoPMWmFh4X3zpl+4cKHUfTQazX2rxdaoUYN3qa1camoqxowZg7Vr18rb3NzcMH/+fLz11lv8fNB9hBAICQnBhx9+iIyMDHn7m2++ie+//56LbFo5IQQuX76s15oeExPzyHWV6tatqzfWo2HDhtBoNEaKmsiwWGiYKJ1Oh6SkJJw+fRqnTp1CQkIC7ty5A51Oh3LlysHHxweNGzfGCy+8gGrVqlnNl1BKSsp9K8GWnHryQby9vfW+tJs1a8aVYM2AMXNgw4YNGD16NFJSUuRtXbt2xZIlS+Dt7W2It0MW7MaNGxg1ahS2b98ub/Py8sKiRYvQq1evZ3ptngssS05ODk6cOCG3eERGRuqNAXsQJycntGzZUu/mWIUKFYwUsWlgHpgvFhomJjc3FwcPHsSqVasQHh6OW7duyX0+S/5XSZIElUolT6f61ltvITAw0KIGJxcUFOD06dN6hcXFixdL3cfW1hbNmjXTKyyqVq3Ku9FmxJg5cOvWLbz//vtYv369vM3d3R3ff/89BgwYwM8NPTYhBFavXo2xY8fqTY3au3dv/Pjjj/Dy8nqi1+O5wDoIIXDt2jW989yJEyeQn59f6n61atXSO8/5+vrCxsbGSFEbD/PAAggyCTqdThw5ckQEBQUJe3t7IUmSACAACI1GI8qVKyeqVKkifHx8hJeXl3B0dJSfI0mSsLGxEa1atRKhoaGioKBA6bfzVBITE8WmTZvEhAkTRLt27YSDg4P8N3jYT7Vq1USfPn3Ed999JyIjI0Vubq7Sb4OekjFzQKfTibVr1wpPT0+9z9Nrr70mEhMTjfSOyRLdvHlT9OjRQ+9z5enpKdatWyd0Ot0j9+e5gHJzc0VkZKSYN2+e6NOnj6hWrdojz4UODg6iffv2YsKECWLz5s1m/z3GPLAcbNEwAbm5uVi0aBFmzZqF27dvQwgBGxsb+Pr6Ijg4GO3atcNzzz0HFxcXqFQq5OfnIyUlBWfOnMGuXbuwd+9eJCUlQZIkODo6YuTIkZg6dapJLxSXn5+PkydP6t3FuXz5cqn72Nvbo3nz5nqD5qpUqWKcgKlMGTMHkpOTMXr0aGzatEne5uHhgR9//BF9+/ZlKwY9MyEE1q5dizFjxuhNgdqzZ08sWrQIFStWfOB+1nguoMdz48YNvUlOjh8/jtzc3FL3qVGjhl53qyZNmsDW1tZIET895oGFUbDIISHE3bt3xfvvvy9sbW2FJElCpVKJVq1aiU2bNonMzEyh0+lK/SksLBQXL14Un3/+uXx3Vq1Wix49eoikpCSl357s+vXrYv369WL8+PGiTZs2ws7O7pF3aGrWrCnefPNN8f3334vo6GiRl5en9NugMmCsHNDpdGL16tWifPnyep+zXr16mVSukOVISkoSPXv21Pu8lS9fXvz+++/3tW5Yy7mADCMvL09ER0eL77//Xrz55puiZs2ajzyn2tnZiTZt2ojx48eL9evXi+vXryv9Nu7DPLA8bNFQUG5uLj7++GMsXrwYWq0WTk5OGDduHMaNG4dy5crJd1aPHTuGLVu26PVHdHd3x+jRo+Ho6AigaKBUTEwMPvzwQxw6dAgAEBwcjJCQEKNPlZebm4uYmBi9maCuX79e6j6Ojo7w8/OT7774+/ujUqVKRoqYlGKsHMjLy8OoUaOwbds2eX9PT08sWrQIvXv3NuI7JmsjhMD69evx3nvvITU1Vd7eo0cP/PTTT6hcubLFngvIuJKSkvRaPY4ePYqcnJxS96latareWI+mTZvC3t7eSBHrYx5YKAWLHKum0+nEN998I2xsbAQA4ebmJkJCQh7Yl3D58uX33ZmoXr26SEtLu+81i++gFd8JePfdd8u0JUCn04nLly+LtWvXig8++ED4+/sLW1vbR95ZqV27thg0aJBYuHChOHHiBPtQWiFj5UCHDh1EuXLl9Pbt27evuHXrlrHeKpG4deuW6NOnj97n0N3dXYSEhIi5c+ea/bmATE9+fr44fvy4WLhwoRg4cKCoXbv2I8/Ntra2wt/fX3z44Ydi7dq14sqVK481tuhZWco1Ed2PhYZCIiMj5S4cDg4OYsWKFUKr1T7wuY+bVEIUJVZKSooICAgQAIS9vb1Ys2aNweK+d++e+Pvvv8WcOXPE66+/LipXrvzILy5nZ2fRoUMH8fnnn4s///xTpKSkGCweMl/GyoGSP15eXmLjxo1l/daIHmrDhg3Cy8tL73NZfHFlTucCMk+3bt0Sf/75p/j8889Fhw4dhLOz8yPP4ZUrVxY9e/YUc+bMEQcPHhT37t0zeFzmek1Ej8ZCQwE5OTkiMDBQSJIkJEkSH330kcjPz3/o858kqYQoSqwLFy6I5557TkiSJBo2bCiSk5OfOE6dTicuXrwoVq9eLd5//33RvHlzodFoHvml9Pzzz4shQ4aIxYsXi1OnTonCwsInPjZZNmPmQPHze/bsKVJTU8vqLRE9tpSUFNG/f3+9z7MpnwvIchUWFopTp06JxYsXiyFDhojnn3/+ked4jUYjWrRoId5//32xevVqcfHixWdq9TCXayJ6Oiw0FLBz505hb28vAIiGDRs+coDSkyaVEEWJtWLFCqHRaIRKpRILFix4ZFxZWVli//794quvvhLdu3e/767bg35cXV1Fp06dxNSpU8WOHTtKjYmomKnmAJExTZkyRf48Mw/IVKSlpYkdO3aIqVOnik6dOglXV9dHXgt4eXmJ7t27i6+++krs379fZGVlPfbxeD6wbCw0jKywsFD06dNH7i+4ePHiR94JeJqkEkKIzMxM0bJlSyFJkmjevLle4hdX+CEhIeLdd98VTZo0EWq1utQvkuI7AcOHDxfLly8XsbGxD23aJHoYU8kBIiUxD8hcaLVaERsbK5YtWyaGDx8uGjZsqLeuxYN+1Gq1aNKkiXj33XdFSEiIuHDhwgM/38wDy8c12o0sMTERf//9N4QQqFatGnr06FFm8/Y7Oztj0KBBOHr0KM6ePYsVK1YgIyNDnpWi5PzuD1K8wmbxbBQtW7bkPNT0zJTMgTNnzqBVq1ZlciyiJ8E8IHOhUqnQsGFDNGzYECNGjAAApKenIzo6Wm8trPT0dHkfrVaLkydP4uTJk/jpp58AFK1XVHJdj5YtWyIjI4N5YOFYaBjZyZMn5SkO27dvDy8vL70p2p7Uo/bt1KkTypUrh/T0dIwdO/ahz1OpVGjUqJHeNHd16tSBSqV66tiIHkSpHMjIyEBERARPLGQSmAdkztzc3NC5c2d07twZQNF0shcuXNArPGJjY6HT6eR90tLSEBoaitDQUACAJEnw8fFBcnIyAOaBpWKhYWQnT56EVqsFALRt2xYAsHTpUpw/f/6h+8TGxt637c6dO5g8efJD57uuUKECPvroI1SrVg01a9ZETEyM3u89PDz0igo/Pz+4uLg87dsiemxK5kBMTAyEEFz9mxTHPCBLolKpUK9ePdSrVw9DhgwBANy9exdHjx7VW1OrZE8KIQSuXLkiP2YeWCjj99aybsOGDROSJAmNRiP27t0rCgoKROfOnR850OpJf+rWrSvS09OFVquVV6atXLmyWLFihYiPjzfKvNhED6JkDrz44oulzmZCZCzMA7I2Op1OxMfHi19++UWMHj1aNG3aVB7rwTywXGzRMCIhBG7fvg0hBDQaDdzd3cv8mJIkwdPTE0DRSsj9+vWDg4NDmR+X6EGUzoGMjAwUFhbCxsamzI9L9DDMA7JGkiShdu3aqF27NgYNGgQhBLp3747t27czDywYO+Abmfi//oOSJBmtua54nIV4hn6PRIbCHCBiHhABgFqtBsA8sGQsNIzM1dUVAFBYWIi7d++W+fGEEPJMEM7OznJSEymFOUDEPCACmAfWgF2njEiSJFSrVg2SJKGwsBAJCQlo06YNfH19kZub+9D9kpKScOHCBb1tdnZ2aN68OTSaB/8XVqtWDRqNBgUFBfJgK29v74c+n8gYmANEzAMigHlgLfgXNrLGjRtDkiTodDpERUVh0KBB+Prrr0ttwlu5ciVGjhypt61ixYrYtGkTypcv/9D9NBoNrl27hosXL0KSJPj6+nK6WlIcc4CIeUAEMA+sAQsNI2vWrBnKlSuHO3fuIDw8HBkZGXBzcyt1nwc17UmSBBsbm1IHMQkhcOjQIaSmpsLGxgYvvvjis4ZP9MyYA0TMAyKAeWANWMoZWfXq1dGiRQtIkoT4+HiEh4eX2YCk/Px8/Prrr9DpdKhRowaaNWtWJschehLMASLmARHAPLAGLDSMzNbWFoMGDYJarUZBQQEWLFiA7Oxsgx9HCIEDBw4gPDwckiThjTfeKLVJkchYmANEzAMigHlgDVhoKKBbt25yv8SIiAisXLkSOp3OoMdIS0vDtGnTkJubi8qVK2PYsGEGfX2iZ8EcIGIeEAHMA0vHQkMBbm5umDRpEuzt7VFYWIgZM2bg4MGDBmsuzM3NxdSpUxEVFQWVSoUPPvgAzz33nEFem8gQmANEzAMigHlg6VhoKKRbt24YMmQIVCoVUlNTMWzYMBw5cuSZEksIgZycHHz55ZdYvnw5AKBTp04YNWqU0RbCIXpczAEi5gERwDywaIIUc+PGDVG+fHkBQAAQVatWFevXrxf5+flCp9PJz1u1apVwdnYWTk5O8k/9+vXF7du35efodDqRlJQkRowYITQajZAkSfj6+or4+Hgl3hrRY0lNTRWdO3cWkiQxB8hqMQ+ImAeWShKCa7ArQafT4c0338Qff/yht93BwQEDBgzAuHHjULduXahUKqSnp+PGjRt6z7O1tUWtWrWgUqlw79497Ny5EzNnzsSpU6cAAI0aNcJvv/2Gxo0bG+09ET2NGzduYMiQIdi3bx90Oh1zgKwS84CobPJACIFy5cohPDwcTZo0UeaNWTEWGgoQQmDs2LH48ccfAQD29vbo0KED9uzZg4KCAgghUKFCBQQFBaFnz55o0qQJPD09YWNjIy9sc+/ePVy9ehX79+/HunXrcPz4cRQUFEClUqFjx45YuHAhateurfA7JXo8KSkp+OSTT7BmzRrmAFkt5gGRYfOg5CXumDFjsGDBAnabMjIWGgqYNWsWJk2aBKBo4ZmtW7fi1VdfxZo1azBr1ixcvHgRQggIIaBWq+Hu7g5vb294eHhAo9EgOzsbycnJSEpKkqeBkyQJlSpVwtixYzF69Gi4uroq+RaJnlheXp5eDhTPOsIcIGvy3zzguYCskaHyoFOnTvjtt9/k88msWbPw2WefKfnWrA4LDSNbvnw53n77bfnxqlWrMHjwYPnxzZs38dtvv2H16tU4f/488vPzHzoYSpIkaDQaVK9eHb169cLw4cNRu3ZtVutk1m7evImQkBBMnjz5kVMcMgfIUj3JuaBY7dq1mQdkUQxxTRQSEoKhQ4fKz1u+fDmGDx9urLdg9VhoGNG2bdvw+uuvyxdPs2fPxoQJEx743MzMTMTExODgwYOIiYnB9evXkZmZCSEEnJ2dUblyZfj6+qJdu3bw8/ODh4cHTypkMfbt24eOHTsCAHx9fVGnTh3mAFmlR50LEhMTcfPmTQDA5s2b0aNHD+YBWZxnvSaaPXs2Jk6cCABQqVTYvHkzunfvrtTbsSosNIwkIiICnTp1Qm5uLgDgo48+wrfffvtYJwQhBPLz81FYWAigqCuJra0tVCrOTkyW6cMPP8SCBQsAAGvWrEHfvn2ZA2T1HnQu2LhxIwYOHAigKG++++47JUMkKnNPc00khMC4ceMwf/58AEVjY/fs2YO2bdsaI2SrxkLDCGJjY9GuXTukp6cDAPr3749ff/2VF0lEDyCEQO3atXHp0iVoNBqkpKTAzc1N6bCITNKdO3dQoUIFaLVa1KpVC/Hx8WzRIHoAnU6HgQMHYs2aNQCKFgqMiIhAw4YNFY7MsvFKt4xdvXoVgYGBcpHRqVMnrFy5kkUG0UPExcXh0qVLAIB27dqxyCAqhbu7O9q1awcAuHjxIs6dO6dwRESmSaVSYdWqVXj11VcBAOnp6QgMDMS1a9cUjsyy8Wq3DKWlpSEgIECe77lFixbYuHEjbG1tFY6MyHT9+eef8r/Zh5bo0UrmScn8ISJ9tra22LRpE5o3bw4AuH79OgICApCWlqZwZJaLhUYZyc7ORnBwsHx3qU6dOggNDYWLi4vCkRGZtm3btsn/7tatm4KREJmHknlSMn+I6H4uLi7YsWOHvL5MXFwcunbtKk+NS4bFMRploKCgAK+99hp27NgBAKhUqRIOHz6MmjVrKhwZkWlLSUlBxYoVIYRA/fr1cfbsWaVDIjIL9evXx7lz56BSqZCcnAxPT0+lQyIyaQkJCWjTpg2SkpIAAMHBwdi8eTNsbGwUjsyysEXDwIQQGDFihFxkuLq6YteuXSwyiB7Djh075DnS2ZpB9PiK80Wn08nnHyJ6uJo1a2Lnzp3yopahoaF4++23H7leDT0ZFhoGNnHiRPzyyy8AADs7O2zbtg0vvPCCwlERmYeS3T44PoPo8ZXMF3afIno8TZo0wdatW+WxsyEhIVw53MDYdcqA5s2bh/HjxwMoWqFyw4YN6Nmzp8JREZmHvLw8eHp6IisrC56enkhKSoJarVY6LCKzoNVqUbFiRaSlpcHZ2Rmpqamws7NTOiwis7Bx40b07t1bbs2YN28ePvroI4Wjsgxs0TCQ1atXy0UGACxatIhFBtETCA8PR1ZWFgAgKCiIRQbRE1Cr1QgKCgIAZGVl4cCBAwpHRGQ+evXqhUWLFsmPx40bh9WrVysYkeVgoWEAYWFhGDJkiPx42rRpGDVqlHIBEZkhdpsiejbsPkX09EaNGoWpU6fKj4cMGYLdu3crGJFlYNepZ3T06FG88sor8rRoI0eOxE8//cSVWYmegBAC1atXx7Vr12Bra4vU1FROBU30hDIzM+Hp6YmCggL4+Pjg8uXLPBcRPQEhBEaNGoWlS5cCAJycnLB//374+fkpHJn5YovGM7hw4QKCgoLkIqNnz55YuHAhv9iJntDp06fl1VlffvllFhlET8HV1RUvv/wyAODq1as4c+aMsgERmRlJkrBo0SK8/vrrAIrWRAsKCsKFCxcUjsx8sdB4Sjdv3kTnzp2RmpoKAGjfvj1Wr17NfuVET4GrgRMZBlcJJ3o2arUav//+O9q3bw8ASE1NRUBAABITExWOzDyx0HgK6enp6NKlC65cuQIAaNy4MbZu3Qp7e3uFIyMyTyX7k3ft2lXBSIjMG1cJJ3p29vb22Lp1K3x9fQEAly9fRmBgIDIyMhSOzPxwjMYTys3NRUBAAP7++28AQI0aNXDo0CF4e3srHBmReUpMTJTzp3Hjxjh16pTCERGZt8aNG8vdphITE1GpUiWFIyIyTzdv3kSbNm3kG8svvfQSdu3axRvLT4AtGk9Aq9Wif//+cpHh6emJsLAwFhlEzyA0NFT+N1cDJ3p2JfOoZH4R0ZPx9vbG7t274enpCQA4cOAABgwYAK1Wq3Bk5oOFxmMSQmD06NHYvHkzgKKZCHbs2IG6desqHBmReeO0tkSGxWluiQynbt26CA0NhZOTEwBg06ZNeO+998AOQY+HXace0/Tp0/HFF18AADQaDUJDQ9G5c2eFoyIybzk5OfDw8EBOTg4qVaqEGzduQKXi/Q+iZ6HT6eDt7Y3k5GQ4ODggLS0NDg4OSodFZNbCwsLQtWtXFBYWAii6Lpw2bZrCUZk+ntEfw08//SQXGQAQEhLCIoPIAPbu3YucnBwAQHBwMIsMIgNQqVQIDg4GUFTM79u3T+GIiMxfQEAAVq1aJT+ePn06Fi9erFxAZoJn9UfYuHEj3nvvPfnxvHnz0L9/fwUjIrIcnNaWqGxwmlsiwxswYAC+/fZb+fHo0aOxadMmBSMyfew6VYrw8HAEBAQgPz8fADBhwgTMnj1b4aiILINOp0PVqlWRmJgIe3t7pKWlwdHRUemwiCxCdnY2PDw8kJeXB29vb1y/fp2LyRIZyIQJEzB37lwAgJ2dHcLCwvDSSy8pHJVpYovGQ5w6dQo9evSQi4zBgwfj66+/VjgqIstx4sQJeQGkjh07ssggMiAnJyd07NgRQNEUnSdOnFA4IiLL8fXXX+Ott94CAOTl5aF79+6cmv0hWGg8QEJCAgIDA5GZmQkACAoKwrJly3g3iMiASnbn4LS2RIZXMq/YfYrIcFQqFZYvX44uXboAADIzMxEYGIiEhASFIzM97Dr1H7du3ULbtm3x77//AgBatWqFPXv2yNOaEZFhNG3aFCdPngQAXL9+HVWqVFE2ICILc/36dVSrVg1AUb6xVYPIsLKzs9GxY0dERUUBAOrUqYNDhw6hQoUKCkdmOtiiUcLdu3cRHBwsFxn16tXD9u3bWWQQGdi1a9fkIqN58+YsMojKQNWqVdGsWTMAQExMDK5fv65wRESWxcnJCaGhoahXrx4AID4+HkFBQcjKylI4MtPBQuP/5Ofno1evXjh27BgAoEqVKggLC4OHh4fCkRFZnu3bt8v/ZrcporJTMr9K5h0RGYaHhwfCwsLkG2bHjh1Dr1695DG+1o6FBopmvxkyZAj++usvAICbmxvCwsLg4+OjcGRElomrgRMZB1cJJyp7Pj4+2LVrF9zc3AAAu3fvxtChQ6HT6ZQNzARY/RgNIQQ++ugjLFiwAABgb2+PPXv2oG3btgpHRmSZsrKy4OHhgfz8fFStWhVXr17lRAtEZUQIgWrVquHGjRuws7NDWloauwMTlZGIiAh06tQJubm5AIAPP/wQ8+bNs+pznNW3aMyZM0cuMlQqFdatW8cig6gM/fXXX3KTcteuXa36C5iorEmShK5duwIomoazuOWeiAzvxRdfxLp166BSFV1ez58/X15vw1pZdaGxatUqTJw4UX68dOlSduMgKmOc1pbIuDjNLZHxdO/eHUuWLJEff/rppwgJCVEwImVZbdep0NBQ9OjRA1qtFgAwc+ZMfP755wpHRWTZtFotKleujJSUFDg6OiItLQ329vZKh0Vk0XJycuDp6Yl79+7By8sLiYmJ8h1XIiobM2fOxOTJkwEAarUaW7duRXBwsMJRGZ9VftNERkaid+/ecpExZswYfPbZZwpHRWT5oqOjkZKSAgDo3LkziwwiI3BwcECnTp0AFK0VFR0drXBERJbv888/x/vvvw+g6CZb7969ceTIEYWjMj6rKzTOnj2L4OBg5OTkAAD69OmD+fPns584kRGw2xSRMth9isi4JEnC/Pnz0adPHwBFLYvBwcGIi4tTODLjsqquU9euXUObNm3kRYs6duyI0NBQ2NnZKRwZkXVo1KgR/vnnH0iShMTERFSsWFHpkIisQnJyMipXrgwhBBo1aoQzZ84oHRKRVcjLy0NQUBD27dsHAKhWrRoOHz6MqlWrKhyZcVhNi8bt27cRGBgoFxnNmjXDpk2bWGQQGUlCQgL++ecfAIC/vz+LDCIjqlixIlq2bAkAiI2NxeXLl5UNiMhK2NnZYfPmzWjatCmAopveAQEBuH37tsKRGYdVFBr37t1Dt27dcPbsWQBArVq1sGPHDri6uiocGZH1YLcpImWx+xSRMlxdXbFz507UqlULQFE3/u7du+PevXsKR1b2LL7QKCwsRN++fXH48GEARXd1wsLCeDeVyMhKXthwGmki4yuZdyw0iIyr+PrTy8sLAHDo0CH069cPhYWFCkdWtix6jIYQAsOHD8fKlSsBAC4uLjhw4IDcfEVExpGRkQFPT08UFhaiRo0auHTpEidgIDIyIQRq1qyJK1euwMbGBqmpqWzZJzKymJgYvPTSS7h79y4AYNiwYVi+fLnFnhMtukVj0qRJcpFha2uLLVu2sMggUkBYWJh816Zbt24W+4VKZMokSZK7TxUUFCAsLEzhiIisT9OmTbFlyxbY2NgAAFasWCGvt2GJLLbQ+P777/HVV18BKPpy/fXXX9GhQweFoyKyThyfQWQaOE6DSHkdOnTAb7/9Jt90mzVrFn744QeFoyobFtl1au3atejfvz+K39oPP/wgL5pCRMZVWFgILy8v3LlzBy4uLkhNTYWtra3SYRFZpby8PFSoUAF3795F+fLlkZycDI1Go3RYRFbphx9+wNixYwEU3RRfs2YN+vbtq3BUhmVxLRp79uzBW2+9JRcZkydPZpFBpKDDhw/jzp07AIDAwEAWGUQKsrOzQ0BAAICiad8jIyMVjojIeo0ZMwaTJk0CUDSGatCgQdizZ4/CURmWRRUax48fx+uvv46CggIAwIgRIzBjxgyFoyKybuw2RWRa2H2KyHT873//w/DhwwEUjZ16/fXXceLECYWjMhyL6ToVHx+Ptm3bIiUlBQDQo0cPbNiwgU3CRAqrV68ezp8/D5VKhVu3bsHDw0PpkIisWmpqKipWrAidTod69eohLi5O6ZCIrFphYSF69eqFbdu2AQC8vLxw6NAh1K5dW+HInp1FtGgkJSUhICBALjJefPFFrFmzhkUGkcIuXLiA8+fPAwDatm3LIoPIBHh6eqJNmzYAgHPnziE+Pl7hiIism0ajwdq1a/Hiiy8CAG7duoWAgAAkJSUpHNmzM/tCIyMjA4GBgUhISAAANGrUCNu2bYODg4PCkRERu00RmSZ2nyIyLQ4ODti2bRsaNmwIALh06RK6dOmCzMxMhSN7NmZdaOTm5uK1117DqVOnAAA+Pj7YtWsX3N3dFY6MiAAWGkSmioUGkelxd3dHWFgYfHx8AAAnT57Ea6+9hry8PIUje3pmO0ZDq9WiX79+2LBhAwDAw8MDERERqFevnsKRERFQNKONl5cXtFot6tSpg/Pnz3OhPiITIYRA3bp18e+//0KtViMlJYU36YhMxLlz59C2bVvcvn0bANC7d2+sWbMGarVa4cienFm2aAgh8MEHH8hFhqOjI0JDQ1lkEJmQnTt3QqvVAuBq4ESmpuQq4VqtFjt37lQ4IiIqVq9ePYSGhsrDANavX48PPvgA5tg2YJaFxsyZM7Fw4UIAgFqtxoYNG+Dv769wVERUErtNEZk2dp8iMl2tWrXChg0b5FaMhQsXYtasWQpH9eTMruvUsmXL8M4778iPQ0JC8NZbbykYERH9V35+PipUqIDMzEy4u7sjOTkZNjY2SodFRCUUFBTAy8sL6enpKFeuHFJSUpinRCbml19+weDBg+XHy5Ytw4gRIxSM6MmYVYvGli1bMGrUKPnx3LlzWWQQmaCDBw/KM2V06dKFFy9EJsjGxgZdunQBUDSD48GDBxWOiIj+66233sKcOXPkxyNHjsTWrVsVjOjJmE2h8ffff6Nfv37Q6XQAgPHjx+Pjjz9WOCoiehB2myIyD+w+RWT6Pv74Y4wbNw4AoNPp0K9fP7O5MWAWXafOnDmDdu3aISMjAwAwcOBAhISEQKUymzqJyGoIIVCrVi0kJCRAo9EgJSUFbm5uSodFRA9w584deHl5obCwELVq1UJ8fDwnbiAyQTqdDm+99RZWr14NAHBzc8Pff/8NX19fhSMrnclfqV++fBkBAQFykREYGIgVK1awyCAyUWfPnpUX0Gzfvj2LDCIT5u7ujnbt2gEALl68iLi4OIUjIqIHUalUWLFiBQICAgAA6enpCAwMxJUrVxSOrHQmfbWempqKgIAAJCYmAgBatmyJ9evXs783kQljtyki88LuU0TmwdbWFhs2bICfnx8A4ObNmwgICEBqaqrCkT2cyRYaWVlZCA4OxoULFwAAzz//PEJDQ+Hs7KxwZERUGhYaROaFhQaR+XB2dkZoaCjq1q0LADh//jyCg4ORnZ2tcGQPZpJjNAoKCtCtWzeEhYUBACpXrozIyEhUr15d4ciIqDS3bt1CpUqVIIRAgwYN8M8//ygdEhE9hgYNGiAuLg6SJCE5ORkVKlRQOiQiKsXly5fRpk0buddPly5dsHXrVpPr9WNyLRo6nQ7Dhg2Ti4xy5cph165dLDKIzMCOHTvklUvZmkFkPorzVQiBHTt2KBwNET1KjRo1sGvXLri6ugIAdu7cieHDh8uzs5oKkys0Pv30U/z2228AADs7O2zbtg2NGzdWOCoiehzsNkVknth9isj8NG7cGNu2bYOdnR0A4Ndff8XEiRMVjkqfSXWd+uabb/DJJ58AKBpdv3HjRrz22mvKBkVEjyU3Nxeenp7Izs6Gp6cnkpKSoFarlQ6LiB6DVqtFxYoVkZaWBmdnZ6SmpsoXL0Rk2jZt2oTevXvLrRnffPMNxo8fr3BURUymRePXX3+ViwwA+Omnn1hkEJmR8PBweTBacHAwiwwiM6JWqxEcHAygaDKW8PBwZQMiosfWs2dPLFq0SH788ccfy72DlGYShcbOnTsxbNgw+fGMGTPwzjvvKBgRET0pdpsiMm/sPkVkvkaOHIkvvvhCfjx06FDs2rVLwYiKKN51KioqCh06dMC9e/cAAKNHj8aPP/7IlUmJzIgQAtWrV8e1a9dga2uL1NRUuLi4KB0WET2BzMxMeHp6oqCgAD4+Prh8+TLPxURmRAiB9957Dz/99BMAwNHREfv27YO/v79iMRm80Dh//rzRVyn08/ODu7u7UY9JZMmYx0Tmj3lMZBnMOZc1BohFz/bt2+Hk5IRTp06hsLAQPj4+aN26NerUqQOVqmx6aiUkJPCLjciAtm/fjl69eiEiIgL79++Ht7c3OnTogNq1a5fZMZnHRIa1fft2ODs7IyMjA506dYKrqys0Gk2ZnYsB5jFRWdi+fTtyc3ORnp6OsWPHPvL5//zzDy5duoSXX375qXsXGCqXDV5oCCFw9OhRnDlzBhqNBn/99Re++eYbvPzyy5gxYwYaN25s8KbYlJQUg74ekbUTQmDGjBlYt24dmjRpgvDwcHz//ffo06cPJk2ahOrVqzOPiUycEAJXrlzB4sWLMX/+fFSuXBmenp6oUaMGXnnlFQQFBcHFxcWgucw8JjI8IQQuXLiAHTt2YO7cuaU+b9asWfjqq6/g4OCAChUqIDIyEuXKlXviYxoql8vktsaPP/6IiIgIHDhwACdPnsSGDRuQnZ2NNm3aYO7cudBqtWVxWCIyoPfffx979+5FeHg4YmJisGLFCkRHR6NZs2aYMmUKUlNTYUKzYxPRA8ycORMnT57EggUL0KdPHzRo0AA3b97EmDFj0Lx5c2zatIl5TGQGBg8ejNTU1FKfs2vXLkyZMgVLly5FTEwMCgoK0KlTJ0Vz3OAtGgDg4OAg/9vNzQ2dOnXCK6+8ghUrVuDDDz/EiRMnsGrVKtjb25fF4YnIAJo2bSrf6bSxsUGvXr3QpUsX/Prrr/jqq68QEhKCWbNmoX///pzKlshESZIEHx8f+Pj4ACi64ymEQGJiIubOnYv+/ftjxIgRmD9/PmxsbBSOlogepnhAtxDiga2Q+fn56NWrF8aNG4c333wTkiTh77//hre3N86dO4f69esbO2QARpzeVqPR4O2338bff/+Nffv2oXPnzsjKyjLW4YnoCT3oi8zR0RHvvPMOTpw4gYEDB2LkyJHo168f7t69q0CERPSkJEmCSqVClSpV8N133+HPP//E77//ju7duyM3N1fp8IjoIRwdHQEA6enpD/z9Bx98ABsbG8yePVs+f1euXBn+/v544403jBXmfYy6joYkSWjRogWOHj2Kq1evol27dg/9gxGRaZIkCeXLl8esWbMQHh6O6OhotG3blrlMZGYkSUKnTp1w5MgRnDx5Ep06dWKxQWSiJEmCJEnYu3fvfb/LysrCkiVLsG7duvt6GPzxxx84e/Ys8vPzH+s4UVFRSExMNEjMgEIL9lWvXh3R0dG4d+8eWrdu/cg+Z0RkeiRJQsuWLXHs2DHk5eXhxRdflFcGJyLzIEkSnn/+eURFRSE+Ph5dunRBQUGB0mER0QNUq1YNISEh920fPHgwvLy8EBAQ8MB91Go1/vjjj8c6RpcuXTB//vxnDVWm2MrgXl5eOHLkCGxsbODv74/k5GSlQiGiZ1A8q0VmZiY6d+7MyR6IzJCPjw+ioqJw6tQp9O7dGzqdTumQiOg/Xn/9dRw4cEBv2507d7Bp0yZs2bLlgV2ei1suJ0+e/MjXF0Lgzp07GDBggMFiVqzQAAB3d3dERETAzc0N/v7+uHXrlpLhENFTKl++PA4fPoyYmBiMHTuWs9gQmaHq1asjIiICu3btwvjx45nHRCZmyJAhuHv3rpybQgj07t0b1atXL3X177lz5+LKlSuPzOnCwkIAQIMGDQwWs6KFBgC4urriwIEDKF++PFq1aoWMjAylQyKip1C1alXs3LkTP/30EzZv3qx0OET0FBo0aIDt27djwYIFWL16NYsNIhPSuHFjAJBXCY+Li8PevXsRGhpa6no4DRs2BABcunSp1NePiYkBAIPOJKl4oQEAzs7OOHDgAGxsbNC+fXvk5eUpHRIRPYX27dtj6tSp6NevH27cuKF0OET0FDp27Ig5c+ZgyJAhOH/+vNLhENH/UalUqFmzJoYNG4acnBy8+uqrCAoKemQLhCRJcHd3x9dff13q85YsWYLy5csbdBFPkyg0AMDFxQWHDh3CzZs30atXL95FITJDkiRh6tSpaN68Odq3by83wxKR+ZAkCePHj0dgYCBeeukl3vwjMiGbN29GeHg4XnnlFQBFs0o9TmEwZMgQrF27ttTnbNu2DV27djVInMVMptAAAE9PT0RERCAsLAxff/01iw0iM6RSqbB7926kpKRgxIgRzGMiMyRJEjZs2ACtVov+/fszj4lMROPGjbFs2TLUr18f0dHRcHJyeqz9xo4di6ysrIfmshACqampeOeddwwZrmkVGgBQt25d/Prrr5g0aRJOnjypdDhE9BRcXFzw119/4ZdffsG6deuUDoeInoK9vT3279+PzZs3488//1Q6HCJC0U2AYcOGYcWKFahatepj71e9enUAQGZm5gN/X1yAtGjR4tmDLMHkCg1JktC3b1/06dMHHTt2ZJMtkZlq2bIlZs2ahUGDBiEhIUHpcIjoKTRq1AgTJ05Enz59cPfuXaXDISL8/8X7nnQftVqN9evXP/D3xQPMbW1tnzm+kkyu0ACK/hi//PILNBoN+vbtyyZbIjMkSRI+/fRTtG/fHu3atXvsVUmJyHRIkoQvv/wSlStXRnBwMM/HRGbMz88PCxYseODvfv/9d9jZ2Rl0IDhgooUGUFRR7du3D9u2bWOTLZGZkiQJf/75J3Jzc9GvXz9epBCZIZVKhfDwcBw6dAi///670uEQ0VMaN24czp49+8DfhYSEoHXr1gY/pskWGkDRvL/FTbZcX4PIPDk6OiI8PBxbt27Fr7/+qnQ4RPQUfHx8MHPmTAwdOhRpaWlKh0NETyEoKAg6nQ46ne6+3128eBHvvvuuwY9p0oVGcZNt1apVERgYyLuhRGaqYcOGmD17NoYPH47ExESlwyGiJyRJEiZMmIA6derg1Vdf5fmYyAw5OjoCwH3r4wghoNPp0KVLF4Mf06QLDaCoyfbAgQM4evQovv/+e365EZmh4nn5mzZtipdffvmBd1OIyLSpVCrs27cP//zzD7766iuej4nMTPHCffPmzdPbfvPmTQBFC2gbmskXGgBQpUoVLFmyBOPGjUN8fLzS4RDRU5AkCbt378bly5cxa9YsXqQQmaGKFSvil19+weTJk3Hq1CmlwyGiJzR06ND7Fu5bsWIF7O3tDT4QHDCTQgMAhg0bhoCAALRv356z1xCZKTc3N6xatQpTp06V76AQkXnp27cvevfujQ4dOuDevXtKh0NET+DDDz+8b+G+JUuWICAgoEyOZzaFhiRJ2LRpEwoKCjBgwADeDSUyU/369YOfnx86dOjAPCYyQ5Ik4ddff4WDgwNee+015jGRGSle5O/q1asAisZn3LhxAxMnTiyT45lNoQEUrVK6b98+bNy4EVu2bFE6HCJ6CpIkYefOnbh48SIWL16sdDhE9BRsbW1x4MAB7N27FytXrlQ6HCJ6TJIkwcPDA1OnTgUApKenAyhaY6MsmFWhAQCNGzfG5MmT0a9fP055S2Smypcvj/nz52PMmDHylxwRmZdatWrh22+/xciRIznlLZEZmT59OtasWQMhBD777DO4ublBpSqbksDsCg1JkjB9+nRUq1YNQUFBbLIlMlPvvfceatSoga5duzKPicyQJEn44IMPUKdOHQQEBDCPiczEO++8g4KCAuzfvx8///wz5syZUyYDwQEzLDSA/z/FXmRkJHbs2KF0OET0FCRJwt69e3H48GHmMZGZkiQJe/bswYkTJ5jHRGbC1tYWffv2Ra9evaBWqzF06NAyO5amLF40KyurLF5WT/ny5fHuu+8iLS0NlStXLvPjEVkbY+Sxh4cHRo8ejdu3bzOPicqAMfLY1dUVI0eORGpqKvOYqIwYOpe///57jBs3Dr1790Zubq5BX7skSRi4rfPIkSO4cuWKIV/yoYQQkCQJL730EipVqmSUYxJZA+YxkfljHhNZBmPmcjFD5bLBCw0iIiIiIiKzHKNBRERERESmTfFCY8OGDVCpVJAkCZIkYcGCBUqHRERPSKvVwtPTE5IkwcXFBXl5eUqHRERPKC8vDy4uLpAkCRUqVIBWq1U6JCJ6QvPnz5evqVUqFTZu3KhoPIoXGm+88QYWLlwoP/7www+xdu1aBSMioielVqsRFBQEoGjA2oEDBxSOiIieVHh4uDzgNCgoCGq1WuGIiOhJrFmzBh999JH8eNGiRejVq5eCEZlAoQEA7777rrxCIQC89dZb+OuvvxSMiIieVPfu3eV///nnnwpGQkRPo2TelsxnIjJ9u3fvxuDBg+XH06ZNw6hRoxSMqIjJDAYXQmDUqFFYunQpAMDZ2Rn79+9HixYtFI6MiB5HZmYmPD09UVBQgOrVqyMhIaHMFgAiIsMSQqBGjRq4evUqbG1tkZqaChcXF6XDIqLHcPToUbzyyivIzs4GAIwcORI//fSTSZyDTaJFAyha9GfRokV4/fXXARR1vwgKCkJ8fLzCkRHR43B1dcXLL78MALhy5QrOnDmjbEBE9NhOnz6Nq1evAgBefvllFhlEZuLChQsICgqSi4yePXti4cKFJlFkACZUaABF/bx///13tGvXDgCQkpKCgIAAJCYmKhwZET2Obt26yf9m9yki81EyX0vmMRGZrsTERAQEBCA1NRUA0L59e6xevdqkxleZVKEBAPb29ti2bRt8fX0BAAkJCejSpQsyMjIUjoyIHoWFBpF5YqFBZF4yMjIQGBiIy5cvAwB8fX2xdetW2NvbKxvYf5jMGI3/unnzJtq0aSOvhPjyyy9j586dJvcHJCJ9jRs3lrtNJSYmcpVgIhOXmJgIb29vAEX5e+rUKYUjIqLS5ObmIjAwUJ7hsXr16jh8+LCcx6bE5Fo0inl7eyMsLAweHh4AiqbdGzRoEOf1JjJxJe+GhoaGKhgJET2OknnK1gwi06bVajFw4EC5yPD09MTu3btNssgATLjQAIDnn38eO3bsgKOjI4Cixf3Gjh0LE22EISJwmlsic8NpbYnMgxAC77//vrwIn5OTE0JDQ1G3bl2FI3s4k+06VdKuXbvQrVs3FBYWAgBmzJiBKVOmKBwVET2ITqeDt7c3kpOT4eDggLS0NDg4OCgdFhE9QE5ODjw8PJCTk4NKlSrhxo0bUKlM+h4kkdWaMWMGpk2bBgDQaDTYvn07AgICFI6qdGbxbRIYGIiVK1fKj6dOnSqvt0FEpkWlUiE4OBhA0UXMvn37FI6IiB5m7969yMnJAQAEBwezyCAyUUuWLJGLDABYtWqVyRcZgJkUGgAwcOBAfPvtt/Ljd999F5s3b1YwIiJ6GM4+RWQeONsUkenbtGkTRo8eLT+eN28eBgwYoGBEj88suk6VNGHCBMydOxcAYGdnh927d6N9+/YKR0VEJWVnZ8PDwwN5eXnw9vbG9evXTWbxICIqotPpUK1aNdy8eRP29vZITU2Fk5OT0mERUQkHDhxAQEAA8vLyABRdB8+ePVvhqB6f2bRoFPv6668xaNAgAEBeXh66d++O06dPKxwVEZXk5OSEjh07AiiaqvrEiRMKR0RE/3XixAncvHkTANCxY0cWGUQm5tSpU+jevbtcZLz11lv4+uuvFY7qyZhdoaFSqfDzzz+jS5cuAO5fsISITAO7TxGZNnabIjJdCQkJCAwMRGZmJgCgS5cuWL58udn1DjC7rlPFsrOz0aFDB0RHRwMA6tati4iICFSoUEHhyIgIAK5fv45q1aoBAJo1a4bjx48rHBERldSsWTPExMQAKMrXKlWqKBwREQFASkoK2rZti/j4eACAv78/9u7da5atjmbXolGseO7g559/HgBw4cIFdO3aFVlZWQpHRkQAULVqVTRr1gxAUReN69evKxwRERW7du2aXGQ0b96cRQaRicjKykJwcLBcZNSrVw+hoaFmWWQAZlxoAEWrIYaFhcmrIUZHR+ONN95AQUGBwpEREaDfHWP79u0KRkJEJZXMR3abIjIN+fn56NWrF44ePQoAqFKlCsLCwuDh4aFwZE/PrAsNAKhevTrCwsLg5uYGAAgLC8OwYcOg0+mUDYyIuEo4kYniauBEpkWn02HYsGHYvXs3AMDNzQ27du2Cj4+PwpE9G7Mdo/FfBw8eROfOnZGbmwsAGD9+PL755huFoyKybkIIVKtWDTdu3ICdnR3S0tLMtvmXyFJkZWXB09MTeXl5qFq1Kq5evWp2A0yJLIkQAuPHj8d3330HALC3t8dff/2FF198UeHInp3Zt2gUa9euHdauXSuvavrtt9+y0CBSmCRJ6Nq1K4Ci6aj/+usvhSMior/++kueLrNr164sMogU9s0338hFhkqlwrp16yyiyAAsqNAAgB49emDJkiXy408++QS//PKLghEREae5JTItnNaWyHSEhIRgwoQJ8uMlS5ZYVHdGi+k6VdKXX36JKVOmAADUajW2bduGoKAghaMisk45OTnw9PTEvXv34OXlhcTERLnlkYiMS6vVonLlykhJSYGjoyPS0tJgb2+vdFhEVik0NBQ9evSAVqsFUHT9OmnSJIWjMiyLPNtPmjQJ7733HoCiL9XevXvjyJEjCkdFZJ0cHBzQqVMnAMCtW7fktW+IyPiio6ORkpICAOjcuTOLDCKFHDlyBL1795aLjPfffx+ff/65wlEZnkUWGpIkYcGCBejduzcA4N69ewgODkZcXJzCkRFZJ3afIjIN7DZFpLy4uDgEBwcjJycHANCnTx/Mnz/fIsdLWWTXqWJ5eXkICgrCvn37AADVqlVDZGQkFyYiMrLk5GRUrlwZQgj4+vri9OnTSodEZJV8fX0RGxsLSZKQmJiIihUrKh0SkVW5fv062rRpg2vXrgEAOnTogB07dsDOzk7hyMqGRbZoFLOzs8PmzZvRpEkTAEUroQYGBuLOnTvKBkZkZSpWrIiWLVsCAM6cOYPLly8rGxCRFUpISEBsbCwAwN/fn0UGkZHduXMHgYGBcpHRtGlTbN682WKLDMDCCw0AcHV1xc6dO/Hcc88BAGJjY9G9e3e5uYqIjIPdp4iUxW5TRMrJyclBt27d8M8//wAAatWqhZ07d8LV1VXhyMqWxRcaAFCpUiWEhYXBy8sLABAREYF+/fqhsLBQ4ciIrAcLDSJlsdAgUkZhYSH69euHQ4cOAQC8vLwQFhZmFa2KFj1G479OnDiBl156CVlZWQCAESNGYOnSpRY5+IbI1AghULNmTVy5cgU2NjZITU21+Ds5RKYiIyMDFSpUQEFBAWrUqIFLly7x3EdkBEIIvP322/j5558BAC4uLjhw4ACaNm2qcGTGYRUtGsWaNWuGzZs3w8bGBgCwfPlyTJ06VeGoiKyDJEnyXdSCggKEhYUpHBGR9QgLC0NBQQGAotYMFhlExjFlyhS5yLCxscGWLVuspsgArKzQAIBXX30Vv/76q/wl++WXX+LHH39UOCoi68DuU0TKYLcpIuP74YcfMHPmTABFN9t+++03dOjQQeGojMuquk6V9MMPP2Ds2LEAiv7z165diz59+igcFZFly8vLQ4UKFXD37l14eHggKSkJGo1G6bCILFphYSEqVqyI27dvw8XFBampqbC1tVU6LCKLtm7dOrz55psovsz+/vvvMWbMGIWjMj6ra9EoNmbMGHkFRiEEBg4ciL179yocFZFls7OzQ0BAAAAgLS0NkZGRCkdEZPkOHz6M27dvAwACAwNZZBCVsT179mDQoEFykTFp0iSrLDIAKy40gKJuU8OGDQNQ1Gf89ddfR0xMjMJREVk2dp8iMi52myIynhMnTuD111+Xx0QNHz4c//vf/xSOSjlW23WqWGFhIXr27Cl/EVesWBGHDh1CrVq1FI6MyDKlpqaiYsWK0Ol0qFevHuLi4pQOicii1atXD+fPn4dKpcKtW7fg4eGhdEhEFunixYto06YNbt26BQDo3r07Nm7caNVdhK26RQMANBoN1q5di7Zt2wIAkpOTERAQgOTkZIUjI7JMnp6eaNOmDQDg3LlziI+PVzgiIst14cIFnD9/HgDQtm1bFhlEZSQ5ORmdO3eWi4wXX3wRa9euteoiA2ChAQBwdHTEtm3b0LBhQwBFFWmXLl2QmZmpcGRElondp4iMg92miMpeZmYmunTpgkuXLgEAGjZsiG3btsHBwUHhyJTHQuP/lC9fHrt27UK1atUAADExMejZsyfy8vIUjozI8rDQIDIOFhpEZSsvL09vjK+Pjw/CwsLg7u6ucGSmwerHaPxXXFwcXnzxRXmGjj59+mDNmjVQqViTERmKEAJ169bFv//+C7VajZSUFH4pExnY7du34eXlBa1Wizp16uD8+fNcqI/IgLRaLd58802sX78eQNFN60OHDqFevXoKR2Y6ePX8H/Xr18f27dvl5q4//vgDH3zwAViPERlOyVXCtVotdu7cqXBERJZn586d0Gq1ALgaOJGhCSHwwQcfyEWGg4MDQkNDWWT8BwuNB2jdujXWr18PtVoNAPjxxx/x1VdfKRwVkWVh9ymissVuU0RlZ9asWVi4cCEAQK1WY8OGDWjVqpXCUZkedp0qRUhICIYMGSI/XrZsGUaMGKFcQEQWpKCgAF5eXkhPT0e5cuWQkpICGxsbpcMisggFBQWoUKECMjIy4O7ujuTkZOYXkYEsX74cb7/9tvw4JCQEb731loIRmS62aJRi8ODBmD17tvx45MiR2LZtm4IREVkOGxsbdOnSBQCQkZGBiIgIhSMishwHDx5ERkYGAKBLly4sMogMZOvWrRg5cqT8eM6cOSwySsFC4xE++eQTfPTRRwAAnU6Hvn374tChQwpHRWQZSnbnYBFPZDgl84ndpogMIyIiAv369YNOpwMAjBs3Dh9//LHCUZk2dp16DDqdDoMGDcLvv/8OAHBzc0NERIS87gYRPZ07d+6gQoUK0Gq1qFWrFuLj4zlglegZCSFQu3ZtXLp0CRqNBikpKXBzc1M6LCKzFhsbi3bt2iE9PR0AMGDAAPzyyy+clfQR+Nd5DCqVCitXrkTnzp0BAOnp6QgICMDVq1cVjozIvLm7u6N9+/YAihbKPHfunMIREZm/uLg4eeGw9u3bs8ggekZXrlxBQECAXGQEBARgxYoVLDIeA/9Cj8nW1hYbN25EixYtAAA3btxAQEAA0tLSFI6MyLyx+xSRYbHbFJHhpKamIiAgADdv3gQA+Pn5YcOGDbC1tVU4MvPAQuMJODs7IzQ0FHXq1AEAnDt3DsHBwcjOzlY4MiLzxWluiQyL09oSGUZ2dja6du2K8+fPAwDq1KmD0NBQODs7KxyZ+eAYjaeQkJCANm3aICkpCQAQFBSELVu2cFYPoqfUoEEDxMXFQaVSISkpCRUqVFA6JCKzlJKSgooVK0IIgQYNGuCff/5ROiQis1RQUIAePXrIC8pWrlwZhw8fRo0aNZQNzMywReMp1KxZE7t27YKrqysAYMeOHRgxYgRXDyd6SsV3XXU6HXbs2KFwNETmKzQ0VD4XsTWD6OnodDoMHz5cLjJcXV2xa9cuFhlPgYXGU3rhhRewbds22NnZAQB++eUXTJw4UeGoiMwTu08RGQa7TRE9u4kTJ+LXX38FANjZ2WHbtm1o3LixwlGZJ3adekabNm3CG2+8Id9B+vbbbzFu3DiFoyIyL1qtFhUrVkRaWhqcnZ2RmpoqF/FE9Hjy8vLg6emJrKwseHp6IikpCWq1WumwiMzKt99+K6+NoVKpsH79evTs2VPhqMwXWzSeUc+ePbFo0SL58fjx47F69WoFIyIyP2q1GsHBwQCArKwsHDhwQOGIiMxPeHg4srKyAADBwcEsMoie0G+//aa3AN+iRYtYZDwjFhoGMGrUKEyfPl1+PGTIEOzevVu5gIjMEKe5JXo2nNaW6OmFhYVh6NCh8uMvvvgCI0eOVDAiy8CuUwYihMDo0aOxePFiAICTkxP2798PPz8/hSMjMg+ZmZnw9PREQUEBfHx8cPnyZa4STvSYhBCoXr06rl27BltbW6SmpsLFxUXpsIjMQnR0NDp06CAvV/Duu+9i4cKFPAcZAFs0DESSJPz4449yE1t2djaCgoJw4cIFhSMjMg+urq545ZVXAABXr17FmTNnFI6IyHycPn0a165dAwC88sorLDKIHtP58+f11kTr1asXfvjhBxYZBsJCw4DUajVWr16N9u3bAyhaTbJz587yapJEVDp2nyJ6Ouw2RfTkbt68iYCAAKSmpgIAXnrpJfz2228c32RALDQMzN7eHlu3bpWnQbty5Qq6dOmC9PR0ZQMjMgOc5pbo6ZTMl65duyoYCZF5SE9PR2BgIK5cuQKgaNmCrVu3wt7eXuHILAvHaJSRmzdvom3btrh8+TIAoH379ggLC+MHmOgRXnjhBZw+fRoAkJiYiEqVKikcEZFpS0xMhLe3N4Ci/Dl58qSyARGZuJycHAQEBODgwYMAgBo1auDw4cOoXLmywpFZHrZolBFvb2+EhYXB09MTAPD333+jf//+0Gq1CkdGZNpKtmqEhoYqGAmReSiZJ+w2RVQ6rVaL/v37y0VGhQoVsHv3bhYZZYSFRhmqW7cuduzYAScnJwDA5s2bMXr0aLARiejhOE6D6MlwfAbR4ymeIXTLli0AimYI3bFjB+rUqaNsYBaMXaeMYPfu3QgODkZhYSEAYNq0aXrrbhDR/6fT6eDt7Y3k5GQ4ODggLS0NDg4OSodFZJJycnLg4eGBnJwcVKpUCTdu3IBKxXuIRA8ybdo0zJgxAwBgY2OD0NBQdOrUSeGoLBu/jYygc+fOCAkJkR9/8cUX8nobRKRPpVLJg1lzcnKwb98+hSMiMl179+5FTk4OgKJB4CwyiB7sp59+kosMAAgJCWGRYQT8RjKS/v3747vvvpMfjx49Ghs3bnysfYUQyMzMRGpqKjIzM9n1iizeg7pPMQ/I2j0oB9htiqzN05wLNmzYgPfee09+PH/+fLz55ptlGSb9H3adMrJPP/0Uc+bMAQDY2toiLCwML7/88n3Pi42Nxe+//46oqCgcO3YMmZmZ8u9cXV3RokUL+Pv7o3///mjUqJGxwicyiuzsbHh4eCAvLw/Ozs7w8/PD8ePHmQdkdUo7F7i4uCAvLw/5+fmws7PD7du34ejoqGC0RGXjWa6JwsPDERAQgPz8fABF12Fff/21UeO3aoKMSqfTicGDBwsAAoBwdXUVJ0+elH+/fft20bZtWwFAaDQaIUmS/NySP5IkCY1GIwCItm3bitDQUAXfFZFhbd++Xbi7uz/ws888IGvwuOeCkj/MAbI0z3pNFBMTI1xdXeXnDR48WOh0OoXflXVhoaGA/Px8ERQUJH/wK1WqJI4fPy7efPNNAUCoVKpHnlBK/hQ/v3///iItLU3pt0f01FJTU+U8eJwLK+YBWZqSOcBzAVkrQ+RB9+7dRcWKFeXtwcHBIj8/X+m3ZnXYdUoh2dnZePXVV3HkyBEAgFqthhACOp3uqV9TrVbDw8MDe/bsga+vr6FCJTKK06dPo1OnTkhLS3um9WaYB2SumANEhsuDklq1aoW9e/eya6ECWGgoKC0tDX5+fkhISDDYa6rVajg5OSEiIoInGDIbp0+fRrt27ZCdnW2QEwvzgMwNc4DI8HkAFM1kGB4ejnbt2hnk9ejJsNBQUFpaGp5//nmkpaUZ9HWL72bFxcWhfPnyBn1tIkNLS0tDgwYNDHr3CmAekPlgDhCVXR6oVCp4enoyDxTC6W0VNGbMGKSnpxv8dbVaLdLS0jBmzBiDvzaRoY0ZM8bgJxaAeUDmgzlAVHZ5oNPpmAcKYouGQkJDQ+VFycr6OEFBQWV+HKKnwTwga8ccIGIeWDIWGgp58cUXERkZ+UyDvx9FrVajdevWOHjwYJkdg+hZMA/I2jEHiJgHloyFhgJiY2ONOjgvNjYWDRs2NNrxiB4H84CsHXOAiHlg6ThGQwG///47NBqNUY6l0Wjw+++/G+VYRE+CeUDWjjlAxDywdCw0FBAVFYXCwkKjHEur1SIqKsooxyJ6EswDsnbMASLmgaVj1ykjE0LAzc0NmZmZRjumq6sr0tPTIUmS0Y5JVBrmAVk75gAR88AasEXDyO7evWvUhAKAzMxMZGVlGfWYRKVhHpC1Yw4QMQ+sAQsNI8vPz7eq4xI9CPOArB1zgIh5YA1YaBiZra2tVR2X6EGYB2TtmANEzANrwELDyFxcXODq6mrUY7q6usLZ2dmoxyQqDfOArB1zgIh5YA1YaBiZJElo0aKFUY/n5+fHQU9kUpgHZO2YA0TMA2vAQkMB/v7+RpszWq1Ww9/f3yjHInoSzAOydswBIuaBpeP0tgrgKphEzAMi5gAR88DSsUVDAY0aNULbtm2hUpXtn1+tVuPFF19kQpFJYh6QtWMOEDEPLB0LDYV89tln0Ol0ZXoMrVaLzz77rEyPQfQsmAdk7ZgDRMwDS8ZCQyHBwcF48803oVary+T11Wo1+vfvj6CgoDJ5fSJDYB6QtWMOEDEPLBnHaCgoLS0NDRo0QFpaGrRarcFeV61Ww8PDA3FxcShfvrzBXpeoLDAPyNoxB4iYB5aKLRoK8vDwwJ49e+Dk5GSwKl6tVsPJyQl79uxhQpFZYB6QtWMOEDEPLBULDYX5+voiIiICHh4ez5xYxVV7RESEUWdwIHpWzAOydswBIuaBJWKhYQJ8fX0RFxeHvn37AsATJ1fx8/v164e4uDgmFJkl5gFZO+YAEfPA0rDQMBHly5fH6tWrERoaitatWwMANBrNQ1evlCRJXuCmdevWCA0NxW+//camQTJrzAOydswBIuaBJeFgcBP1zz//4Pfff0dUVBSOHj2KzMxM+Xeurq7w8/ODv78/+vfvzzmhyWIxD8jaMQeImAfmjIWGGRBCICsrC/n5+bC1tYWzs/NDq3oiS8U8IGvHHCBiHpgbFhpERERERGRwHKNBREREREQGx0KDiIiIiIgMjoUGEREREREZHAsNIiIiIiIyOBYaRERERERkcCw0iIiIiIjI4FhoEBERERGRwbHQICIiIiIig2OhQUREREREBsdCg4iIiIiIDI6FBhERERERGRwLDSIiIiIiMjgWGkREREREZHAsNIiIiIiIyOBYaBARERERkcGx0CAiIiIiIoNjoUFERERERAbHQoOIiIiIiAyOhQYRERERERnc/wP0Aw8rcQdiIAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# to specify a module, you need to specify the start layer (0 in this case),\n", - "# you also need to specify which neurons belong to this module\n", - "# the rule might be a bit complicated to explain, but you will observe the pattern with a few examples. \n", - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1]->[1]')\n", - "model.module(0,'[2]->[2]')\n", - "model.module(0,'[3]->[3]')\n", - "\n", - "model.plot(beta=1000, scale=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4d5137cb", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n", - "saving model version 0.2\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[0,1]')\n", - "model.module(0,'[2,3]->[2,3]')\n", - "\n", - "model.plot(beta=1000, scale=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "34a7bce5", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n", - "saving model version 0.2\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[2,3]')\n", - "model.module(0,'[2,3]->[0,1]')\n", - "\n", - "model.plot(beta=1000, scale=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "816a4250", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n", - "saving model version 0.2\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1,2,3]->[1,2,3]')\n", - "\n", - "model.plot(beta=1000, scale=1)" - ] - }, - { - "cell_type": "markdown", - "id": "1728aea1", - "metadata": {}, - "source": [ - "Case 2: you can use model.module smartly to create tree graphs." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "37e983f7", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "seed = 0\n", - "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "b6c70991", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n", - "saving model version 0.2\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "seed = 0\n", - "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", - "x = torch.rand(100,4)*2-1\n", - "\n", - "model.module(0,'[0,1]->[0,1]->[0,1]->[0]')\n", - "model.module(0,'[2,3]->[2,3]->[2,3]->[1]')\n", - "#model.module(2,'[0]->[0,1,2]')\n", - "#model.module(2,'[1]->[3,4,5]')\n", - "\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "05cf43c8", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 3.84e-02 | test_loss: 4.00e-02 | reg: 1.17e+01 | : 100%|█| 50/50 [00:24<00:00, 2.03it" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.3\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "# a formula with a two-level tree structure\n", - "f = lambda x: torch.sin(x[:,[0]]**2+x[:,[1]]**2)+torch.sin(x[:,[2]]**2+x[:,[3]]**2)\n", - "dataset = create_dataset(f, n_var=4)\n", - "\n", - "model.fit(dataset, steps=50, lamb=2e-3, reg_metric='edge_forward_n');" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "d77e8a79", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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