Created
November 2, 2022 14:25
-
-
Save andiac/51b0a668e27693a499cd2e6e71af7b43 to your computer and use it in GitHub Desktop.
Plot the label-based OOD proxy introduced in https://arxiv.org/abs/2210.12767
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "55bc4b73", | |
"metadata": {}, | |
"source": [ | |
"Plot the contour of three gaussians mixture" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "f6db7114", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import torch\n", | |
"import torch.nn as nn\n", | |
"import torch.nn.functional as F\n", | |
"import torch.optim as optim\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"from scipy.stats import multivariate_normal\n", | |
"\n", | |
"np.random.seed(888)\n", | |
"torch.manual_seed(888)\n", | |
"\n", | |
"CELoss = nn.CrossEntropyLoss()\n", | |
"softmax = nn.Softmax(dim=1)\n", | |
"logsoftmax = nn.LogSoftmax(dim=1)\n", | |
"\n", | |
"mean1 = [0.0, 2.0]\n", | |
"mean2 = [-2.0, 0.0]\n", | |
"mean3 = [2.0, 0.0]\n", | |
"cov = [[1, 0], [0, 1]]\n", | |
"\n", | |
"N = 500\n", | |
"LR = 3e-2\n", | |
"ITER = 200\n", | |
"\n", | |
"x = np.linspace(-5, 5, 100)\n", | |
"y = np.linspace(-5, 5, 100)\n", | |
"x, y = np.meshgrid(x, y)\n", | |
"pos = np.dstack((x, y))\n", | |
"gauss_mix_pdf = lambda pos: 1/3 * multivariate_normal.pdf(pos, mean=mean1, cov=cov) + \\\n", | |
" 1/3 * multivariate_normal.pdf(pos, mean=mean2, cov=cov) + \\\n", | |
" 1/3 * multivariate_normal.pdf(pos, mean=mean3, cov=cov)\n", | |
"\n", | |
"plt.contour(x, y, gauss_mix_pdf(pos));" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "4e2fffe4", | |
"metadata": {}, | |
"source": [ | |
"Prepare the training set" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "5847729e", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"X_1 = np.random.multivariate_normal(mean=mean1, cov=cov, size=N)\n", | |
"X_2 = np.random.multivariate_normal(mean=mean2, cov=cov, size=N)\n", | |
"X_3 = np.random.multivariate_normal(mean=mean3, cov=cov, size=N)\n", | |
"\n", | |
"X = np.concatenate([X_1, X_2, X_3])\n", | |
"Y = np.concatenate([np.zeros((N, ), dtype=np.int32), np.ones((N, ), dtype=np.int32), np.ones((N, ), dtype=np.int32) * 2])\n", | |
"\n", | |
"X_tensor = torch.tensor(X, dtype=torch.float32)\n", | |
"Y_tensor = torch.tensor(Y, dtype=torch.long)\n", | |
"\n", | |
"plt.scatter(X_1[:, 0], X_1[:, 1], alpha=0.5)\n", | |
"plt.scatter(X_2[:, 0], X_2[:, 1], alpha=0.5)\n", | |
"plt.scatter(X_3[:, 0], X_3[:, 1], alpha=0.5);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "48f42589", | |
"metadata": {}, | |
"source": [ | |
"Prepare the validation set" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "b903f6ae", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAD4CAYAAADxeG0DAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAADuV0lEQVR4nOz9eZRc53nei/6+b481V8/daDQaMwgSBDiKIkVRlCiJVGRqsh05iWydRLFOonuVxCdeXslx1vHKukns4+sT5VqJksNE12ZsX0ueLWqgRFIDSXECwQEEMU+NRs9d1TXXnr/7x64udAONuUkCVD1rYTV69669d+2ufr93P+/zPq9QStFBBx100MH1C/lOX0AHHXTQQQdXh04g76CDDjq4ztEJ5B100EEH1zk6gbyDDjro4DpHJ5B30EEHHVzn0N+Jk/b29qr169e/E6fuoIMOOrhusWfPnnmlVN/Z29+RQL5+/Xpefvnld+LUHXTQQQfXLYQQYytt71ArHXTQQQfXOTqBvIMOOujgOkcnkHfQQQcdXOfoBPIOOuigg+scnUDeQQcddHCd4x1RrXTQwbWCA1NlHt83w0SpyXA+wUM7Btg+lHunL6uDDi4LnUDewTWLtzrIHpgq88jTJ8glDIZyNuWmzyNPn+CL923oBPMOrit0qJUOrkksBtly018WZA9MlVftHI/vmyGXMMglDKQQ7f8/vm9m1c7RQQdvBzqBvINrEm9HkJ0oNcnYyx9KM7bORKm5aufooIO3A51A3sE1ibcjyA7nE1SdYNm2qhMwnE+s2jk66ODtQIcj7+CaxHA+Qbnpk0sY7W1Lg+xq8OcP7RjgkadPAPEiUXUCyk2fz965dsX9O4XRDq5ViHdi1Nsdd9yhOl4rP5u41GC4tBC5NMh+eHsfPz1a4NmjBRK6RNcEThBhaJIvf2gTH985/LZeT6cw2sHbCSHEHqXUHeds7wTyDt4uXG4wPDvIbh1I8eSBOY7P1Wh6AbNVDwGs6bIJI0DBV35p11sSWL/yxOFznhAWv/+1j2xd9fOtNjpPE+8OnC+Qrxq1IoTQgJeBCaXUz63WcTt492BpARNof31838yKQWX7UG7Z9q88cZhcwsAPFTU3wNLjEs9Cw2dtPkGx7p/3WFeLiVKToZy9bNv1UhjtyCzf/VjNYuc/Bw6s4vE6eJfhaguYi69P2zpNP0KTAk0KvCDCDSK6U8ZbFliv58JoR2b57seqBHIhxFrg48D/WI3jdfDuxNUGw8XXb+5LIUUcwIMwQgpwg4jBrP2WBdaHdgxQbvqUmz6RUu3/P7Rj4C0532qiI7N892O1MvL/BPwGEJ1vByHEF4UQLwshXp6bm1ul03ZwPeFqg+Hi601d4871eYJI0fQj+jIWW/vTaJp8ywLr9qEcX7xvA7mEwVTZIZcwrhtq4np+mujg0nDVxU4hxM8Bf0cp9SUhxP3Ar1+MI+8UO392cbVFt6WvtzSBArxQXfKxVjo/8K4uBHYUN+8evGWqFSHEbwO/DASADWSBv1JKfe58r+kE8g7eCawU0MaLDSKlGO1JvauDXEe18u7AW6ZaUUr9a+Bft05yP3FGft4g3kEHbxUuFqxWUs28WnMB2Lk23962uO+7KdCdrQDq4N2FTmdnB+8KnE9i9+HtfRyeqTNRarJ/ssKukSxwRgvuBiECsexYV1sI7GS/HbzdWFWvFaXUjzsa8g5WEwemynzlicP8+p+/zleeOHxe98OVJHZhGPHVHx5rOygamuDF4wvM15z26yxdw9SX/xlcTSHw7XBt7KCDs9ExzergmsXlBMWVJHbTFQc/jNrB/aY1WQSwb6LSVs30pi26U+aqyQqvRLN9qYtVBx2cDx1qpYNrFpfTCbqSyVax7tOTMtvf92Vs7tzQxeuny0yVHSxNMJC1mK267J+qkEvo3DiU47N3rr1iKuRyO0CvpuvyQhROh9752UInI+/gmsBKWenlNLKspFHXpTgnqDa9kIxtUGp47DlVou4GbB/KcuNQlrRlXHXAO1uzPVd1ePrwHPsnKytm21fadXmhp5UOvfOzh04g7+Adx9mB58RcjV/7xuu8Mlbk6cNzzFXPcNrn469Xatj58gObkFK2g/vJ+RqvnCoxmLGoNH0ADs3UKNbdVWtbX7qgzFSavHi8SNUJ2DWSXTGgXmnX5YUWgE5L/s8eOtRKB+8oDkyV+a1v7adQc+lNW/SkDI7PN0BAwtCoOgEvHi9y54YubEO/oF/4ShK7jX3pNsUwVXG5dSTPhr40R+fqZG0dN4g4OlunN22vStv64oLy+L4ZXjxRIG3r7BjO0ps+82SwlBq6mO/6+TBRaqJL2D9VoeYEpG2djb1Jam78NHC9Gnx1cGXoBPIOzsHbxa8uZuLFmkd30sDxQ148UaM3bZJLGFTdgLs3dbNvosLrp8t89MbBy+avlwb3X//z19sBLm3ruH5IEEYcKzWpOgGGFhdErxaL51zky6U4I288O6Be7nCLRZia4MXjRdK2TtrScP2Q3ScWuGtjN30Ze9niMF9z2DdRwQsjvvLE4Q5f/i5EJ5B3sAxvp+XpIgXQnTZx/RDb0IiUour42IZG1jboTdvct9Viquyc1/f7Uot+p4oN/CBkfW+azX0pnjs6T7HhYxsSXcaZ8EzF5Tt7J9ra86tZyM7OtueqDm9OVvBDtSygLmbwi+e7lMVKAGf3ZKvW9q0DKb76w2P4YYStx9SSpWvcuaGrY2H7LkUnkHewDJfrGX41WMxYN/eleOVUCYCEIam5IdlExI7hODu+ENVwoYUHWPYzzw/b51nXk8LUNaQISFs6CVPn5rU5ak7AV586xns39TCUszk5X+PXvjnN2q4EN63JXVZQX5ptO37A7hMLKOCujV0rHhfi+/z1Z09edAFxQ8VdG7s4Pteg4vhkbYMb12SYrbk8eWCOrf1ppisOR2ZrKAU71+YYyJ65h++2ztWfdXQCeQfLcMnyuel9cOAxKI9DbgS2PwyDOy7rXIsZa1/G5rZ1eY7O1ZFCYmiKbQNpulNWu3B4PqrhQgvP4veL2zb0pQGYqrgYuoauST528wD9mTMB7sjMPEGkyCUM5msOe0+XqToBc1WHuarLvokyv/7gVrYP5S5KQZ2PL4e4yApQab2/3338EFIIRrqTl/QktHjv3ruxp70tvlcNhvNJcgmDDX1pam6ILqFQ99nS2q/Dl7/70AnkHSzDpQw93v3Cs2w/+ShaMs/I0ACyMMPMX/57vpv5BbShmy85a12asfakLUxdYzifWNZWfzGq4WILz9k/G+1NYRoav/eLu9rj25aiUPfa2vO942UWGj6mJohabfwn5uv88fNjfO7u0UuioBb//4P903hBxJHZOo3WdCNLj58+cgmDYt0DYMdwvH8uYVCsufzWt/azrjt5zkJxPm49a+vLVDBpW8f1AirOmffZsbB996EjP+xgGS7kGb5IY4zMPIlM5KmoFD89tsCz4wEVleIe77nL0iyfz+P74zuH+bWPbOX3fnEXv/aRrRdcFFby2h6br3Oq2GD/ZOUc+eLiz379z19nruowXmxwcr7G88fm+fbeSUoNn6QR/1lMVRxMXSAEWLrENjTSlsar4+VLlvgt3jNTkxiawPVDTi00CMJ4qlG6FXTjKUdh+3VzVYfDMzUKNXdFLfj57t1Na3LL7sfmvhQ1N8TU5HU3EKODS0cnI/9ZwGXQIBcqvi3OzOwrzFI1B7CEpFmOg6TKZMl60+fl1M9HQ5zPle9SlTNnZ6ZvjC/wyniZbEInbxvM17y2fLHhhrw6XuK2dXmGcnYri/U4PuehSUlPymRt3ubYfINc0kQpRaRAIejLxFl6XGRUl0xBLQb8HcNZ9oyVsHSBrUumKy59Gautkjnb7+XoXB0E9Kat9kJx9n09371bej9MXWNdT5I1OZupsnPJxdQOri90Avm7HdP74Lmvgp2H7DA0S/H393z5gsF8pT/0xeBVtYawggquniWMFKCwwhpVawg4N6CtVJD8ve8fZiBrrTgU4nKUM0sXnv1TZd6YrNKTMunLWLhBhKlJNCl4/XSZjG2wqTfJVMXlyGydtK1TaQZkEwb3b+tvH1MAu8cWcIMIxw9JmTrTFQdNCAwpuG9b3zKJ33zN4ehsnfmaS0/a4sBUuX2dZySIBreP5jk6WydlahTrPlv70/Sk4zpAd8pECkG56ZOxdYo1D03C5v5U+7ouhdteaSH+jYe2rVrgPlQ8xFOnnmKyNsma9BoeWPcA27q3rcqxO7hydAL5ux0HHouDeCIff7/49cBjV1ycPNL9Qe6Y/GMAdCFIqgZ2ELCv/5PAuRzs2QVJPww5MR8Hvvu29p1jOfvE/pm2pluKM6/7o+fH6MvY583qv/LEYU7MNehOGQghsA0NiGmRdT0pSg2P08UmliHb2uuZikNX6kw9YL7mMFVxSRo6N6/J8syReZp+CCjQNBDwvs09bOxL88jTJ1iouxycriKEwJCSwYy1bNFZWnPoTdv0puMFwA9CelvvxdQEa3I2s7XY8yVr63SnTYay1rJGokvltt8q7/FDxUM8+uajZM0sg6lBKm6FR998lM/f9PlOMH+H0eHI3+0oj4N9VpOLnY23XyYW+fPj2np2D/0DyirFsFZE2Tl+3PNLzKU2r8jBnt2GfnS2TtrS8EO1ouVspCJQildOldr8tuMHPHu0cI5/yHf2TvCVJw7zjx/dzZ+8OMZ8zeFkoU691eFo6ZJC3WM4n6DiBCDANrR2oNc1ScMLl12bEILutMlCM2BtV5KupImha2zqT7N9MMOjz5/i68+eJGFIjs3VaXghVcfHCQJmqi5RFLW58vPVHD539yi/9pGtfOHe9TT9CEPXuGEw9nzJ2Aafv3vdMnuBa4HbfurUU2TNLFkrixSSrJUla2Z56tRT79g1dRCjk5G/25EbiemUxUwcwKnE2y8TSx/b3yiNUNz0T3loxwC9wPF9M0ydR2VythKm4viYUrQLfRBbztZcnwNTFabLTivIQ9XxuX9bHwemqiR0yYGpSls3nTAkX33qGFsH0pwuNkFBEESEkeL0QpPhvE2owGgNZd4/Vabc8HD8EEuXuEGEoUHNDfn23klsXTK+0EAg0KWg7gb0ZSzyybjLdHN/ipdPLhBGcNeGbqpOwGS5QRiClIKEoVGsu5QaHjMVh688ES9iCUPiByFT5eCc+7P4tOKHIS+diN+bqUmeM+QVNQq9lZisTTKYGly2LW2mmaxNvkNX1MEiOoH83Y7tD8ecOMSZuFMBpwS3/fKVHe48j+0XCjBnFyRNTVJzAm4aPvOaqbJDww0pNTyUAj+MAKg2fZ4/VqRQd0HBbM0lYWgEYUSh5pGydKarLpYhGcrbjBebSBSGLpgsOwxkbD592xCP75vh9EIc7MNIUXUDNCHQpWQoZ2BqklPFBl4YMZCx0KSg4gTomiBp6mhC8ONDc9TcgJSlU2iNiKu7cTbfkzIJo4hiPcLUYL7mccNQbklRdeU5oBOlJoYGr54qY+mSjKXj+CHPHC20s/ZrBWvSa6i4FbLWmSe8mldjTXrNO3hVHUAnkL/7MbgjLmwuVa3c9suXzY9fDc4uwO1Yk2Wy7GDqiy35AQ0vJJc0qLkBthFP7am6Pn6k0CQ4XkjC1EkYsh0wnVZbf80JSFsxXbK2y2a64tKVMpFC8v/44Eb+Ys8ExXqciS/UfVKmxn3betk/WY1b19d3c3Suzsa+NE0vpFD36EpBd8pgruqRMkMMXVJ1AnQpSJs6r5wqoUuBqUm8ICKMIFLQ8AIWgoiUpeEF4TKOf5FuWZplW5pg32SlLW8EEELQlTQuu/vyrfbIeWDdAzz65qNAnInXvBoVr8Knt3x61c7RwZVBKHW2Y8NbjzvuuEO9/PLLb/t5O7h6rFawOPs4Lx6fp9QImKk62HqseQ4iyNo6SUvj0FQVKQVGK0NWKqZoLF3DMiSaEPS1Mmnb0Ng+lMUPQl47XWasECtF+jIWXqCYrbl0JQxsU2NXq3X9sdcncPwQt0XNjHQl8aMIL4hImToNP6Tph6RNna6UieOHTJSaSCCIVDuDl0Lhh/Ei0J2yuG1dnr6MTaQUB6crpK04sC828YwV6hyYqjCQsbAMDTeI9eW3jOQIIvi9X9x1yfdzUemztEFotT1VOqqVdxZCiD1KqTvO3n7VGbkQwgaeBqzW8f5CKfVbV3vcDq49XKmh1tKgbWkCBW3Z4RfuXd9SnMCJuRpV16fhhSRNjWxCw9I1xgoNTF1iGxI3UFQcn4QhkUKgSUFXwmCu5nGq2KAraXDLSJ7xYoNIKSYXmiRNDRBMlV3W5G1GuxJ4keKjNw5SbvrM1xzKzQAB6DKmW/xIsW0gw/redFtCWKy77Bkr4fghpiYIQ4VtaSQ1SdMLySd0wgjqXkBX0sTSJUfn6vRlFumVoN0+D3H35mhPitmqC0JQc0PSts5Na7KYurasu/Zi+KPnxzg+V8MPFWlbZ3NfijCMztsZeqXY1r2tE7ivQawGteICH1JK1YQQBvCsEOJ7SqkXVuHYHVxDuFRDrbMD92TZYbQnhaHB88eLCDjHiS/m0RvcMdrVlvOh4in3mhR0p6w40FkCRUzH2IbGjjUZThQaeEGEF4Y4XoAfKSRx23+EAiXQ9bjFvthqwReINnd/fK5Gd1Jnru4TBDCctwhV7IfyT+7fxOP7Zig3fZQCQxNMlJoEoaI7ZbChN03a0nj26DxhpNCk5PZ1eebrPkopqi21yXixwVzF4YWmRy5hsrk/1fZAX5O3z8nUz/aX+c7eCR59/hQzFYeBrM3n717Hx3cOt+/3s0cLdCXOWNo+d6wASqFpkrs2dHdcD9/luGr5oYpRa31rtP69/XxNB285LmWazWLWfnK+xqlCne/um+bV8RIz5SbH5xpkbJ20rXN8vrGsrX2RR1/fm2ZdT5JswmBtdwJD03jvxi4Spk5PykRK8ANFECpuHEozX/dJWzq2IUmZGgqBKePGmqYXAIKGFxKEMdfe8EJqbsitI7n2Ob0wQtdin5e1XQkUgqyts7Yrwfah2JlwrFDnxeNFJLAmZ9OdMtnQm+Yzt60hbenxwkM8Wm60N8Xto3mafshczeXJ/dO8PFZkvuayUPfamf18zaHqBNx4nnb7xYD7nb0T/M73DlFp+vSnTSpNn9/53iG+s3cCiBfSrqQBQrRllQ0voOqG7c5QLwg5PlfjX/7Z3s6A53chVqXYKYTQgD3AZuC/KKVeXGGfLwJfBFi3bt1qnLaDtxmXMs3m8X0zRFHEoZkali6RIu6UfOnkAhlboz8TN7jMVx2eP16g2vRBsKy5ZykWja26UxZH5+romsTICIJIUfciLF0yX3MxtFhOKATM1z2CUDFRcuhNm5SaPgpFw4swdcmG3hSfu3sUiAuxixTL0ve19PvtQznW5GwmF5pMtCwJBrM2aUvjuaMFGn7EPRt7ODxTI4gUL59cYChr4fgRO9Zk2Xu6jEAgZaxycUNFxpQ8uX8Wy9B4/+bYwfB8CpVHnz9FytKXPAnJ9vaP7xxmotTkxjUZXj0VB2dLjwuwkYo7Q+eqDq+cKmFpgkhFnez8XYhVCeRKqRC4RQiRB/5aCLFDKbXvrH0eAR6BuNi5GuftYPVwKUXMRSqiWHOZrjgU6/GA4y8/sKm9z0SpGU+ob6kwbEOj4QY0/ZCq4zFXdQFBpOICYaLVnHO+wLJ4zjCMm4S8ICKKBJ++bYg/efE0+UQs19OlwGvtE4SKtK1RbgSUGz4pS6cvY7HQ8Hn/5h4+d/fosvNcypSe2ZoLIl7MFjXoB6er+GHEfVv7ySUM0rbO0bk6xZrH4bk6d452MV1xUcSUTN0LCSNF4EXUHEXGNvjQ9j4MXVvW2Xr272Cm4tCfNpfdl4ylMVOJF5XFBXZjb5LXTpepuwF+GNGXjjtDnz9ewGp5ueQS5lvqMX823q5pUz/rWNXOTqVUCfgx8NBqHreDtxaXOnV9+1AuDjazNQp1j+6UwbbBNE8emGvvO5xPUKh77cCRMDRqbkAYRSglcP2Iuhfi+RGnik3mqg47hrPnHQ58vnMenK6zY00GIQRhpKi5IVG0aHKlaHohUgrcMKLuBdy/rZ//+5dv499/Zud5/VpyCYMDU5V4Dqbr8/i+mfb7KjeDNm2x9GvFCXCDgBeOF3h1vNTi//MYWmwLUHHixa7qBKBACokQscRwOJ+gP5MglzCIooivPnVsxd/BQNam6obLrrnqhgxk46ebh3YMMF5scHC6Rm/KZH13ku6kheOHnJyvUW3GfL0bRG3vlrfDk/xSP1cdXD1WQ7XSB/hKqZIQIgF8GPg/r/rKOrhiXG4WdDlTgQ7P1Hnvxp5zaIjFfR/aMcD335ym4gRkbZ2q45MwNLwwIlIKKQVRoECAFHHR8vXxcmy+tYRiuZRzei0VS6HmUnVi1UmowA0UkVRkbJ1ICWxDXvQeLP7sVLHB2q4kGVtvD3xYk7M5OFVutfILbEPQnbRImnprduYCGVtvN/O8eHyBrBVn9lnbYLbsEFuLgSbBC4gppzOjPJkqO+2BFmf/Dj5/9zp+53uHgDgTr7ohdTfgyx/a1L72gazFfM1tq1buG46nHU1V4icJIQS3j+ba3i1vhyf52zlt6mcdq5GRDwE/EkLsBXYDTyilvr0Kx+3gCnAlWdClFDEvtu/+qTJfeeIwX3/2JBt6krh+SLHuE0SKgWyskc7aBvmESdLSMDRJytTxQsVs1cHQ4uaala71fOf0wvjYPWmLnrSJbWpogC5AkxLb1OnPWAxk7RWz/bNxtse4F4ScKjR46uAMNTckiGLNeNOLmK44CEL8UDFddjg6W+XQTJXpsoPnh6ztiumOwayF15qdCXG9QJOCgYxFq3kVoP20sdLv4OM7h/lXH9tGNmEwW/PIJgz+1ce2tVUrEMs579vax0duHODujT30ZeKia9bWuXUkz0LDZ99Ehdlq823zbbmcz1UHV4erzsiVUnuBW1fhWjpYBVxJFnQpRcwL7XuqUGe80GQ4n2zZ3Oo4QcSanM2r42UMTTBixH/AphRYuiSMQupeiK4J/FDhhYrbR3MYmnbOtV7o+iZKTe7b2ocUgvmaw7f3TmFqAqUEfenYyvbGNZkLBo/FJ5i/eW2CgYzF5v40fRk7Hj0nYbbqITkjxYoUaEpxbL5JV9JA1+JA6nshEkgkTfxI8c9a3ax9mTJ1N6Q7ZdKXtelNGRycrmFoot3ZamiSwexyf/Olv4OP7xzm4zuH29f6o0PzHJ6pt580VrpHY/N1Ti80WduV5J5N3RyYqvLTo0Xev7nnbSl0Xs7nqoOrQ6dF/12GS565uQSXUuy70L6HZmpsHUif0+iSSxj8X393tF2snCo7NLwQKaA/YzFdjjPxhKlx+2gegP2TZWaqLj21Izykv0R/OMc/0Pr4w+JOyt03nHN9ixrvRZvYdd1JpkpO2+Vwx3AWQ9Poz5wJJkupJ1MTzFRcRrqTDGQsKk7AK6fi4RM1Jy6WqliKjhS0OHjwIzB10DSJEUHGNgjCCF2Li7wVJ2ircBbv2VKduBvETxOLwx6+/KFNPHlgru1HvtLv4EINWSsVohcaHjevybQX9oHsmcD6dlAbl/O56uDq0Ank7zJcSRa00jCCX9lYZePBr8GLy6cKrbTv2q4Eo72pZcdcXDyW7j9bdTgyWydpagxkbUxdEkZw96ZuAPaMlQC4w5pg5/hjHFApxIZhNLfMh0vf5H8Ufo4X9fXcOpLnw9v7eHzfDG9Oljm90GTbQJp1PSk29KQoNXxuW5dnXU/qnOBxdjB8+vAcVSdgMGexZSDdvoajs3HG3PBCNAlKxZSIVAqEIAgVuoyn/bh+rFOXIt4/belIEUsnF+/ROXNIH1w+wu7AVJnk0QIvnSiiUNw6kj8na77Q09avfWQrH97ex1d/eAw/jOhJmbhBwHTFY03Voa8l+3w7qY0LTZvqYHXRCeTvMlxpFrRMwz29D577g/NOFTpb772o9T7f4nFm/63LsuHN/WlmKi6GprF/8gwv/jH9ZSIth1Ip9p6u4keKvJ7lc+nX+UH/7YwXG/zFnglGe1JsH8qSNDQOTddo+CE3DuW4aTjDUwfnee10ud0FebZt7JkhF4q0pXF0Ni6o3j6a58hMjZmqy/s29VBp+kxXHBy/5YoFxA3/kLZ0+jI2hiapuUHbWmAoZzNddpfVKZ48MMcNgylOFRvsPlnk+eOFdnfmgakyv/f9w8zXXCIVYekaMxWX43O1ZUHwzcky24eWe8svDcxnF4VfOB77ty/aBJz9e7lcXImU8K0actHBcnQGS7zLcL6hvJf1x7R0qpCQ8Vc7H29fARca2LzS9S0OVv4Pn9nJrz+4lVzCYKbqkrV1bluXZ5A5XC2NqUumKrGJlrLPzASdr7kU6x5eEPLiiSJH5+pYhqQvbfHQjgEOTte5cSjLJ3at4cah7DJ55NkFuLQdK02OzdX4wf5pjs7WGcrZfOqW4fb1LTY2RSr+50cKBczVvNgfvelj6rH3iwDemKgwkDWXDWZeqLv8lx8dX7E784+fH+PEfB2ArB0H4YNTFX7v+4eXLQanF5qMtfZbxNLAfPZ729yfQilFseZd9XCKjpTw2kYnI38X4qqzoPJ4nIkvxQWmCl3qI/SFBjDDmW7K6kI8E7SiUgjiwcRWWGVG9PHC8QIn5mtIIag0fbIJAykUU2WHo7M1Xj9dZnNf6rzF3rOpJ1PCifkGQoAhBY4fMllq8tGb4mC3sS/N5v40R+fqhGFEww0JiffVpaLmBFTdAF1AV9JkTT7BZKnJTMVjbgml8cZECTcIma+5VB1JV9IkZek8+vyptg3voo2tbWj4UUSjGS57H9sG0hyartGdtlZ82jr7vfWmbW4YzDBVca968HJHSnhtoxPIOzgXVzBV6GKLx4GpMr/7+KFWJh1xZKbK3tOl9mDgpZTQ4a772XX6jxAqYDCTRjplCCr8cfO9nIzqeIEiiBb9UwQLDR+AlKUxudAkCCPStt7WTC+lH5aexw0C9k1WMTRBqqW08ULFzWsyHJ6p83HiQLVjOM/WgQw/PjxHww+RCgQKhMQywAviImd3Ola8NLyQqbLDD/bPsLEvjSGgWA+QAhwvIIo0HN9hIGMyU3FImhpxLn8GixOSlmJdT4qGHwf3lRbMlWg1KSX/9hM3rvi7uRxL2isponfw9qETyDs4F6s8VQhim9VThQZpWydj67hBxKlCg68+eYQtg1kmSk2ShsQLQt4IRxAjv8JD+ksY1UleLKb4S+99vOoNo0uFJsCNoO6FnJirk7J1DC2mVmaqLq4f8uNDc+QSJmlbZzBjsaEvHb+1JU8PT+yPnRiHchZOoFBBhCYE8zWvHaDenCxTafptw6swinXqgQKj1WijgEgpLF2yt9UiH0axSHyh7nJyvtFqBor3rbk+UkiOuQE9aZP13RkOz9RAiHb7v1Kxe+NSLBpsnc+T5XKKi5c7SLkjJby20QnkHZyLK5gqdLFC2KvjpXPog6YX8OyxAv25xAoj0XYBHwdgdKrMq19/CYFCCNB1idUaBxe2vvalTfxQEYQREyUfISCf0Kk0faZKTR5cwgsvPj1MlJpIoVqBVhEpgRCKStNj10ieA1OxIqbS9FpPEnGxs9WYGneqIpACdCmxdMnx+TrD+URrwlHAQiO+lowVd6H6YTxNKFCxwdfW/jReqOhKGfhhrCk3dcnm/hS5hLmiHPFCmfSl0mpLBykD7a9PnXpqxUDekRJe2+gE8g5WxuCOSw7cS7XY5xs4IWIyoo26G3B6oUkQKfZPVdjcl2rzyWfzrtuHcvRnbHQZOxtKEXeBVpo+KEXS1FhoxF2kuoCkKQkiGF9wGO1Octu6fJsqWYrFyURuGKHLWCcetPxaTs7X+a1v7Weh7jJX9dCkwNIFzeDMu3B9BSJsvT/FXC2eK6qUQgjBB7f18cqpUsy9BxEDWZOxQjzwQgrY0Jti10jsyz4YWPRm7GUL4eK9WJpdS2v6sjLp8+FyByl3pITXNjqB/GcV0/uWZ9wtnfil4EJa7LNnVC7+od86kouHSggRZ81lBy+IyCcNXD9sN+EUai7f3luKuyyXDFBYfH3TC0kYEiIRF0FFPKA5VJCzdQIVZ8frehI4fkix4RHMKA7P1s4JjpYmmKs6SAR+CEpFaBJ6kiZvTFboz9jtKUSRUnghbSZ70TvFlIK1eRuFoFD1SNvaMl+TrG1QbsTzQgt1rzXMWaJrGndtjPXzM+UGu8dKpCydgazNB7f1sn0ox6HiIay+p7ATk1jpNUjrgcvOpM+HKxmk3JESXrvoBPJrHVcRcM/72ul9MQd+Hp34xXAhLfZKBUaAz909ynTFZb7VeagLQcrW6U5ZbbrlxeMFZqoutq4tk+gtfX3plMd8zUMIMLV4mERPOu4SjYhplq6khVJQrMdyyJ6UiRCC3/rbN5mtOOiaRnfKIGFIvJC424dFE6uYI9c1ScKUFOoRhiZwgpibt4xYsesHisGcxVA+GatObJ2bh3OkbZ2mH2Fo8WDphCEpNX3yiXj4RMMLaHgRd22MA/2esQIvthY4Q8YLy+987xBTjeMc97/XzrxPFuf4F2/+J+YbZYxoLV2JGrahEUbxve/KjV3aZ4J4IZ6c2Mzuhb8iZ+W4caAP2wo6g5SvY3R05NcyFgNus7Q84E7vu9grL/zay9SJn42VtNiCeBjyIs4uhG0fyvHrD27l/m39pG2DjX0p3repB9mS/JmaYKLkIBAM5W2klOQSRluit30ox2duW0MuYbTnWepSUPciVKTY1JdmtCfF2q4ENTdkruoShBFuEHKy0KDuBhyYqlB1Q7pTBuWmzwsnFmJtOKBrca7th4pQQdLUqDZ9IhXTLUpBy+4cXUoUCsePqDoxh72lP8VobwovVMt0/A0/4j2jXazrSZNLmmzpzzCQTVB1QmarTXafXIDWRKJIQaUZoGuCP9n33XbmfXS2xo8P1DhdADeq44Y1xgoNxgoNpICaX2NsxrokTffi05QeDnNH/tOoKMFzp47jeuZl0zPXMg4VD/G1177Gv3n23/C1177GoeKhd/qS3lJ0MvJrGUsDLpz5euCxi2fOF3rtxXTiF3kKOFvBsLkvxYvHi6RtvW0CtVIhbCXNeFfK5OhsnflaPIBhXbdN0jzzsVw6QOHwTJ0PbOvHD0OOztY5OF3BNiRp22DXSI49YyUShkbGipitujT9CFMXpExJsebS9OL5n00/ZL7mEYRRO5PxQ4Ug5skV0JM2SZo6uhSMuQEQB/ymH+GHUXuQxaJ17Z6xEtsG0qzvTS/rIt19srjMiAvg4FSZPadKnCw08ENFxtKwWk8lAI4X4gVzpM1h5qoOL51YwAlCoshC+TZ+VEPTFIFKMN8s050J2Wh98IKa7sUC6ZOHD6LRTUq7h15zA73WBspNn6xjsK17ZTXMtY6zi7+bcpv4yemfXHUd4XpCJ5CvJq6GBlkJl9mYs4gDU2XCA/uYjLrJJEI296foS9tnXnshnfgl0C5bB1J89aljBFE8gHgwa7OuJ8manH1JjSdLFRDdKYvBbBz4E4ZkpuIhhCRl6dTdgKmyg2j5liy2qEthtCmcphcQRHHzy+2jeXafWGCh6eMEEYaErB37npTckFDFTwon5+sYS0TatnFmTJwu40EVMcUTD4UwdUHgtdrzZdzdGbba9d0gaksGXx8vkbZ0PvvfnuPoXL1VdI2LoBUn4LZ18f0+OhsrW9wgxPF9qm6IEyhMLebjG15IIp3j6aPjhIGNF8aaeaE5SH+YZvlG9PQ+hL1A6PezI/UAXcboObNTF2sBdnKGBeMHjOR6Cb0cmtVkX/1b7OAT9Jjrr2s9+Eoyykf2PsLmrs1XXUe4ntAJ5KuFq+SdV8QVNOYsPjp/QvbTI+tUfZ09YyVuH83TpzlnFpjz6cQv8hRwYKrMkwfm2DaYZqrsUKh7VJx4yMFSf+wLYakCYv9UmfFCk8GsiecHjBWbVByfvrRB1Y2IIsX7t/S0W9SThtbWhG/uT/H8sSK6FDx/bJ6pskO56ZMyJU0PgjDmyS1d4rcCb6ji6TqLRliLLolC0BojBxlLZyifYLoS+6XoMvZXMYy4Vb/hRYRA2tSIzCkmopcJk0U8mWOycS9H51KEkWobaBVqHj1pk6OztVgjDuwYzvL6eBlNxvM1gzACBJ6rkMDNufexEDzJ9EINPzQRWhNkE1F9D9IbwC8MoRmS4eE8PWZ8fxaprLOL0S8sPEfNU/QnTLIJHzfQMCWMOS/QY66/rvXgKxV/AxUwU59hNDva3u9Cipx3Azoc+WrhKnnnFbH94TjANkugovirU4q3nweLhcjxgQ+TCKtkRR1bg/HJqTOvXdSJJ/JQmYi/Li445fE4uC/FkqeAxeOv701z96Zefm7nGt67sYfDM/WzL+XCb63V2HLjUI5tg2mmqx6ZhMloTwJNCqYqHoYU3Le1l62DuXaL+hsTZX58aJbvvznFvokKSTNuIirUPYIoIm1pzNf9Vmt/nHU3/Oic84dRTKGkTYmhSTQhCFsOh2u6EuiapC9j0Zc2iRRkk0ZLvUIc2AU05ARa/icM94BON7btcdj9DoE+EStTZJyRD2ZtHD/k9EKTiVKTSEUcna23agMaGSteSBbpnTV5m9vX7ODW7KdIahmULCFVknDhPkJvCNXyfHH9iLrjc2KutsxD5ewBGaEokjbSHJ2ts7k/heNHqNCmFs6/bUMm3ipM1iZJm+ll27qsLopOcdm2iylyrnd0MvLVwhXSIBfEFTTmLLZSF8QWXl7zObYUf0SPM8Vk1Av3/OqZ155PJ36Rp4CJUhNDgxeOV6g4PlnbYGNfkolScEVv8dxhzQl60zYHpqoM5mwKdZ8T+6fJ2gbdSZ2mH5JNGO2W9poTsHNtnrSt84P9M9Td1oBjFY+Siy4w5lsK6M1YZGyThYZPxg7pSplESpA0NG5aExcaZ6suuhQkzLgm4PghVScgtPdiiBRECVy/zkh3nqmqQk/vI6wMo8mYchnOGzT9gJRpxKoXpXD8kLmaS2/KpOaGmC2OfCBjolr5VY+5nnv7/h7ffWOalKlR9FyarYze0lqGX0HE4dkaX/7QpjaVdXY7fUrrxRF1qo5FXyamoN6cnkF5eXJdxnWtB19JRjmQHKDqVam4FdJmmppXe9crcjqBfLVwBTTIJeEijTlnY2khspDeQiG9pf39g4OXUMy6SHu+pQmeP148Z0bl3S1N9OViOJ/g1VML9KTOTIl3gwjbkIwVGmzqT7fP8/zxKv0Zi/u39bf3/fbeSd6cLFFqhtRcHy9Q7cYjTcRUylIYmkApRRiBoUkKdZ+Hd63loR0Dy4ZULKLuBhye0Wj6UTz7EogiyCcNZKKC5w6STWis607GTUNaitCcJ4ggjOJia8WJJYe3jqRJ2zqvnCph6XE7frkZ0JuxuH00z9HZelx4TJz5s7R0nZuHs+w9XcEydHQZUzBSCu7a0MOWgSwn52s8+vwpfnRonuF8AkuLhz0vvo9R+728WvkbUiaxTa7psXlQ4/M3/QO2dcfWwku90y910v3leLW8VXhg3QM8+uajAO2grUmNL+78IsfKx9rX9uktn37X8uOwOsOXR4D/CQwSF/YfUUr9f672uNcdzhcA190NP/rt1SuAXgRX3Up9kaeAFq28DIIzY9Aut+C7OKx5ruriBCGOHyGFwNDiVnyAhhcwV3WpuTFffWSmQqHuU3F8CjWXcjPA0AS6FCyG8cVrOjuY+0u+CcJomVrkfKZT//T+jXzjpdOUmj5SQF/GYqQ7ybpN27FMj6yVZa7q8NyxAg2/RtPJIlsDOROmASpW9oz2ppBCcNu6fFwMNTSKTZ9tA+l20Xey1GRrf5pIKU4V6hyaqeH4AUNZG0OXjC80SJmxX8183aer5vDaeImKE1Bt+hyZiU3AcgkTuuMh0no4zJB6iJHBo0zXp5cFtgtNHbpQML9cr5a3Ctu6t/H5mz6/bEF5twftlSCUusCz56UcQIghYEgp9YoQIgPsAT6llNp/vtfccccd6uWXX76q816TODuI9W2Hw9+LufKlwf1qCqCXgCsZAHCpr//1P38dXcLx+QbzVQcniDClIGHp/JcHTDYe/oP2+y0U55iZmeG7mV9AG7p52XGWnmN6ocGrp0vorQYfU5PM1jxuXZul4oacKjawdY0gDHFbk3i6kgYNL5YRLn6CdQlBiw4XxEXMXEJjpuJxvk95xtLY2JemO2XyGw/Ff/wrvfeV7snSdnnH1Xn6+Gmafg1Z/QBBcwgh4IEb+vnc3aMrZvvlpo8XhPQtac3fOpDi8Ey9XQTeOpDmSGtakRcqDBln45Yuqbnx2LxThQYJU2O0J4kbRNScgK0Daba2zMiWXu/ZGfR39wjGqkcpqJeph/OktF56xB2MZjaf15wL4Guvfe0cSmPx+y/d8qVL/qx1cHkQQuxRSt1xzvarDeQrnOhvgf+slHrifPu8awP52fjRb59Ltyx+/8F//c5c00WwNENbzEqTxYP8Lz176Q/neL6Q5NXU+zltbmhRBLLtLfJP+XPuHBT09AwwV3PYM1YiT53IzvGD/n/UNsQC2ufYEJzAPPIdst4UJWOQZ427Kaa3Ump4Lc5cw/FDbENjoe4xvtBoFSYVUaRwl2TYkviR0JAgpSBjG0ig1PDwlgT4xVcIoDdtsKbVnbltIN12YrzUBXCZPlt1sy19Dz3meuCMVv7XPrK1fV/DMGrP1NSl4MsPrKz2WTp16fnjBVw/9nQJI0XQIv6zts6R2RpKwdquBCkrfsB2vAAvUnzvn9+37DoXF52lvPHYqfXUjb2YIoUpkniqgafq9EcP8sgvnSmqn72QHefrbOsdQYozeolIRUzXp/l39/67C3/IOrhinC+QrypHLoRYD9wKvLjCz74IfBFg3bp1q3naaxdvRQH0LcbZ7fcbw5PsrPwZp90c/VtG2RrMoZ36Yw6KT2Dp64F4gvztozkGxmc5XBri7p5YK23rEqWfmexTrLn81rf2U3V8TE3yQNcsd5b+nMOhRtXoJy8bfNl+nJf7e9kfreW5Y0W2qiP8vHyJ7uosU/TxfesOXvOHCcMonmYvYhlhRKzxNgR4Yey7csdonmePFjF1iWopQiKl2ll7PqGjECs6MZ6PYjg3Mx/kS7d8ieNHXo87UsUZ4mmpPnv7UO6cmZpDOZu/emWSnx4t4IVq2eKxtGC5uS8VL5qaIIgitg1kODRTI5uIlTRdCb0dxCFeqBwvXMZ7V+zvrOjRMiOeIh2uw2opPyyRxvMimuarwMPt93w2/TJWsUhoBdZ397XP+25XhlzLWLVALoRIA38J/AulVOXsnyulHgEegTgjX63zXtN4qwqgbyHOVjxsKf6I0MxRCBJQn6enepiUnOEL1f/Gf038KmnL4GPWbgam5sj6U8yVXaCPquOTtnQip8QBJ8ffvnaaqhOSNCVpy0ApRdepH7CQSeKbFiqMWIiSDOkRW4o/4njfP+Tnhxe45fRjFLwEC2YfG22fX218l98PHmIqvZGF1oR7P4yQClSrGqlJxT0bujkwXUWpFucuW7azQhJGEZYuMHUNrdWaX2r4aFK0Rsk57W7T3/rWfv7tJ24EYk/1pw7O4vshEXF2/IfPnWD7UJaaE/Di8fm4KAoMZm029qbamneA544WsHSJaPmYF+ou+yaqCGDLQBrPD/m975cZyFrsn6xwZKbKTWuy9GVsbluX583JClJI1vem+Sf3xyqV3/yrvTx/vBgraZoeM1UXx1foGrx2qsjOlrviczNHuWfdRrJLLM7TZhqhVwhdG1eGmHqsaQ8Dm3zvGTnpStOBNgbv5fD8d+lOWT8zypBrGasSyIUQBnEQ/xOl1F+txjHfcaxGl+ZbMKDhrcbZ7fcZd4p50cuArMDpw6BZ2Jk+hp0p/oX8M4xQUDaHqWoDhK7LJmc/FLrJWFncWpGgvsAzyZ/HcxQbwpN8xHmRjdEC87Kf9eFxTjc30p0yOb3QxNQljkyRqE8wJuu8v/k0vp6hESXosUxEIoUKIh5ovsifG1uw9ZCyE6Ba/uASSJg6d2/o5ssf3sL/+kevsCZnU2wEBGFEwwtImpIwivXiXhCxJhNrvKteQNrUeez1CcrNgJ6UiaUJjkxX+Yd/sJuEoRFEEZWGhxvG3itCgFDwxukSlq5RdnxSpoatS04VGszV3LYP+oGpMs8cLZBPxGqf6XKT8YUmEjB0SanhM1d18YKI+ZrFrpEsLx5f4MXjRe7c0IVt6GzsS5/zhLBoJnZ4psJ02UFKgSYUpqbx6niZpKmzdTBLrtnP/pk5hBhg7+ky0xWHUDSwEmk2disajtbyjTFY3ydY3z3UPsdK04FG0ptoFB8ka42fU2S8FtQsP2tYDdWKAL4OHFBK/cerv6RrAKvVpXkFOvB3GmcrN+ZkP9Its9meAGGBYYPvkOgawCgU8IOI/c21aLJJ0hxkdG0SqpPckBR8e87ip9anKSY2MVx+k1/hWwR6lnl6sMMqg9EMDdfEszaiUHhByMzcHHqyFykE3cEMzewgPU7ITMVhpupgSIOtVoH5qkvNDc+oaERMrWzuS/HPPryFx/fN0JWMFyPL0FloxAXPIIroS1tYhoahSRpuQKUZ4PkRroxQTR8QTFcclFIkTA3XDyk1PRw/fpBc7O6PWgtI3YvwgoikrrVoHkHClORtg8MzdTZOlfmtb+2n0vRx/YCMbTBbddsSICmgUPdQSqFrAj9U9GcS3L1JsG+iwuuny3z0xkHuXJ/n8X0zfP3Zk8tomF9/cCtfePRlEi01S90NSJo6XhDx+kSZrYNZtqbu5qeFv6RwzKXaMNB1ByEa+Av3cDA4wF2jw9zV1d/OrB9Y90D7M3G+6UDbe7bxpVuWN6ddK2qWnzWsRkb+PuCXgTeEEK+1tv3vSqnvrsKx3xlcjVnV2bhMHfg7jbMHCIwPfJhPNP6S1EIJEt3gOxA4eD23os/9tG39CnFc8nOjEKXp+tTX+Mmju6k0fWpuyGe0lwhklsDMEYYR2VwvY6VRRv2TvFHLk7czGEEdw6/x9fIHSGQjnNQwdlChqScRxP7jI0mXY5VegjDCaPmEByrOjCMEtibZPpTj68+e5MY1GV49VSZquRdKAUJKfvPntrOxL80fPz/GM0cL6JpkTc6m6oZUnICMpeGHEZFSDNg248XGMs3l0iajxf+GCrwwImHqbOpLo5Si4vjsnypzqtigWPNYk7OYrLiUFhpEUTxcIiJ2WlTGJE3jNXSzTNMeoOB9kN70eu7bajFVdmJ/myX8uh+EPPJ0o52hG5pk20AaKSWnFxoEocLQBHU3LpIa0Voy7kcoqT1oRhFL9JCJ7kPIIdzmEFMLhzHN6RXle5cjaV0tv3S4NnTq1wuuOpArpZ7lXGnx9Y3rsEi5apjex/aDj7G9Pg69LUqJ/w2+9xtQn4dULwzt4uCsxlrDxtAkm7piHtj1Q8anZujbGitTblqTa2dyt+yvcqieRbVMpjQpcDKjuH6IpXej1U5T1AZ4OftRDi70se3UXkT3LBvqL5MO07hiA15oEDYa7El+GtUUSKnQhMQgpko0AS+NLfCr/3M35WbAUNZiY2+SF08sECmFqUsShsZXf3iMtV0JKk7ArSM5dp8sMl/3cIO4gFpoBFi6QBdxZh5EivPqF4k//JqI/xO0ZnXGZloa5WbAcD5Jd9rE9UPW5hMcna2hUGiaQCqFMqYIsz9GuRYqzJNJ+m1TKz0cxtIEX33qGAjoSZm4QcShmRrbBtJtx8OBrE2l6ZNLSLpTJpMlhzBSpEyt3YY/aK/HL/aTtQ1EqyirdIXnrGEg2s6/u3cXB6bKfHfPDP+99PqyrP9SpwOtNHnIDV1+eOqHTNYmMTUTFHiRd8Hg3MnsLw+dzs6VcK0WKVfbXXGl45+PUvrY7575mZ0lqB/DtXoQgBVUcLU0GeqEjVLbC2ZpJuelhhmOipx2LCxDYhkaN/cqXp7ZzB9qn8XNRu0BE9vFPj4b/C0nihmK+k2sDY6zg1d5We7if2oPU01sQogKrh+RMGXbp8RrySDLDZ/BrM2zRwvUXZ8wUhi6xND0dsZRafoU6z6nCjXmql6bJlmEGygCoeIFQooLBnNdxh2jfhjb7DS9gJobsqE3Fc/rtPUzyhNd0p0yKDV8dE3SlTSoJd4g8G0MkaQ7ZWBrNkpoHKo9x1o+RcKQbadJIUT7Pk2VHQw9/v/n717XHsKRsTSyidisa6QrQS4Rt+E/vm+G2Yrb6pzVWu8zwtQldnKGf/vMf+SnY0fJGf1sTd1Nubl2mXIn1qH/lMnaJH9+woST4IXLA/LZLfPzzXn2TO8hbaYxpMHLUy+DgNsHbr9gcF7NzP5nAZ1AvhIuVKR8q4Pp+fBWuCuejd1fh/kjEHrx++7ddsb464P/GrZ+DHY/AtUptrgmc9oQthbQVz+Co6U5bW1mfP0nubN1PYuZ3B89P8YflXfy8+7fsCHTzdbRPvp0DxZOMSBT/KP536NiDfKSeh8H1Toe8p+npJJUQ5v5UHCUnXTJJkrP8Zq3lt6mj6kJmn7seyJaEkRNxgMaqm5AbxRRbcb6ca3lbDjveYx0J8jaOjU3pDttMlFqgDqjL1+qM48U6AIsTVL3whVvmQT6MxbdaYtSw6PpRwQR3L2xe1kj0KLy5OhcHSkkCVPn5jUZGn5EgzJpurhrQzddydifvdI00cwiX3z/Br7+7Em6U8ayAGzpkkLd4+5NvQBtLfqjz59ipuIwkLX59Y9uPUejvm+izIn5eqz9B2puSG9PgQXjeeamNXJ6H0I2ebPxGDtSnyCXGObxfTNIa5rff+X3WXAWqPgVyk4ZXer0JfrYO7eXp8ae4os7v9humV9wFphpzHC8fBylFJvzmzlZORkbXAk4WTnJnYN3AisH58udKfqzjk4gXwnnK1LCWx9Mz4fdX6cxdYBqvUlVJahnN7G2L0fPlfD2K2F6Hxz/EdhdYGViLnz8RVh7Z3wPpvfFXaoDN0PPFvLHnoHGUcYztyGTa9C8Mrvte3n4vfeec+imHzGw5Q4mgh7WzT7F8WNHkGu66UEw0pfjzQWDpF/h4fAvOeU8xCDzzGk9MYEsQChBVSXYKubpTuqcKtTxgjgQha3hmQJI6IJ80iBrG7x0sggiVnBYumiNWYuYLjdp+iGRAins2LqW5a38moiDeNrS0KWk5gUIEWvUI2MKPb0P3S4TeXlEYwf51BaaXkTKNPhXHzu3wWfxqaQnbWHqGsP5BB/e3sfhmToTpSZhsAZf1Tk536Bg+/SkDdyohufFxU1HjdNMvchscxpT9ZDnNnxnEEOTy1wLP75z+IJWwouF0T9+foxXx8soFHdt7MbqewXL7GVirhHPHCUNUWxze0vms0yUmnzz4N8yXh0nbaZxA5eIiLJbJoxCNuY3UvNqPLL3Ef7D+/8DH1j7AR7Z+wh+5COUoDvRzVh1DDd06U3EC0/VqwLnD85XMlP0ZxmdQH4+rFSk/NFvr14R9HIwvQ/38FPMegnQEiSlT7r8Ogea27nJq9O1Guc48FhczIRYV2fY4DXg8PdjXvx7vwHpofg9n3wGO5Una4YMuuOMR2tZH4zz5ervkTh4GMSZp5SlGuQiWylmtlJu+jw49wfcPZShJ5Hnzo0VXjohiULFfdELzGl95GhQ0ZIYmiRSimRUo2gM4IcKP1JkEjquHw9kgJaSRIEmJZv7U7w2voCUi2PZ4kAvADeMG5iGc3aLV49NtBbHvRlSxEXbMCJhakQKNvamKNZdisEpzK6nMWQKSRfSdvDMpzld09jWtZWhnM2TB+bY2Jdexh8nDclLJ4ooFLeO5NtUxceJZYn/149u54j/TRphBbfhEcxqaGRYL3+evWo/x/3vooskffYAFa/KVPh9svIB/uX9H7hs18LtQzn+/Wd2Ltv2b579M3rMQTK2jxuEWLqGKZLUw/m2V/lP5/aSMlJYmoUf+YRRiCY1nNBBCEHaTLPgLvDUqacAuHPwTrJWlt3Tu3EDFwRU/Spe6IGAjJkBzh+cVzLD6ujUz4/rN5C/ExTHO1UEPfAYBZVGlwqla4RoIASj/nEONt/H3Vd63KX3cGovdG2AhePxz5xKvD0KIN0P5dPQXDhDNVkZkjokw1lGjOOQtCDwznlKWUmDnLF1tOpp2HAzAFsHsvHIt5kk2uljfFP+HP9Y/y5aANUoSUY1SIsGxU2/TG7CpOwEDOdtpsouCVPR8Hy8IJYBNr2A3voR/p/iOwwxR1Ef4IfiLt4MR9qUSV/aJGXpuEFELhnTLOGiikTFLfCGFFSbPgrBQMZkTT5Jw38TXaYQKglAQs9gCw2MA9y96R4gbstfLEAu7Yh8YHs/VSfgdO0Yf3b0Seb3zVCqpJic3EwQKap2iNIUYRQhhCQKIyqeT0HtIZtMkzIy8eg5TTJo2tw0OH3JgzwuhsXsd3N/ij1jJQCUbKKp7rY65ae7aXNOpmZS82pIZHuigRd5dFld7ex6kRbZkNvA67OvY0qz/ToEbBvYRsWtnDc4d8ywLg/XZyBfbb74UheFs4ugtVmYej3mlH/021e3mFzoGsrjnNQ2sjk8QBgJAmEilCIdVTgUreXuK3FXPPseTrwCY8+CkYTQj4O2kJDsAanH2bk0YP5QHMz9eI4moQt2KytM5M55SjmfBjnMrI0XhNb+fWmbPs3hKW8DM40t/Jn6JLf7z9IdzDJJL0+mP8pabT0LjVm6UwYn5uuEEQgUSgl0DVKmxkDjGJuOfosFkWQy6qFH1fgc3+KR6OPsZYSMJbF0jaoboAnBQNZGlR3CKB4eHVvRxkMl3CBioeFxaKZOd9Ig2VvFkj0IBLoWNxRJEmCU2u9taVv+2R2RgTbBlHic2fEkKkyg6VVq1lM4niTyutDUMCqIO1Ej0aCmv4qpVXC8blBBe5apKZLMOzNX8ilbEYvZb9bMctu6LPtn5qi4Ze7seoB/cFv89LCzbycvT72MEIK8lafYLBKogJyeww1d3MBlJD/Szq4XaZHeRC+7+ndxsHgQW9rs7N/ZVq30JfvaQfxrr33tHJnh4r8OLo7rM5Bfis77UoPz5SwKS4uggQNjP43/P/q+q1tMLnYNuRHs5AnG9B0M+qewgiqBNDltb+E93ovQXHf5C9rSe1ibjRejKIwzcNHiKXQbskMxzZLqhfocSC225l1875oVVxrdMqgMHPxOzLG3fifn0yAP3PULcPgP4mMsKShvuO8f0vtsxIsza3iRX0QaAj+MSIY6/UHIjqEMe0+X8UPVGoAce4ubeiy7u7/2AqGZQ5dpEl5A0U+QpMxvij9g0hpgXuvnyYW7OG1uwAkUWTvumLxxTY7xYoPpioPrR/EACDdgXXeK2YpDpCDy8pSpoKIE+YRBGCm8qEZS5Xli/wxpW2cwY7Xb8s9+GhlzXiCpZ5gswnBew9KzFDWPhnEQEazDl0eQtoMKbaTfRyCKZMUAC80SoRMw480jpINqaoi5YX6zupf33+RzvPniVWmtl2a/NX+S+7eMnnOcz277LLONWYpOkTAM42DuFKn7deYb82zKb0KTWruRaCktYkqT9dn156hTDhUP8c1D3+SFyRfIW3m2dW+7oJKloys/P67PQH4pU+AvNThfTvPP0iLowe+AlYWhXTH1sPR4lxvIL3YN2x9m4+R/5PV5jWOJnWREE80rUwtNtg/0XBlnv/Qezh8CacaB2ym15BsaaK2PR+lUvHAFHhgJiHxY//74Z6d3Q9Aa3Cs0sJLgVGjWivz5X3+HvcFaEobED0IOTjcoNwOyts7fTnXzya3/kI1zP4LpvdQqBaYck+NTf0qvezulzCi6Jkm3pHumrpFLGPEIN0PjFuM090UvMCDnmBC9/FS/m1PuRkZEAUcfhAg29qYpzU1woxrHQLGXmzD9Kn9ffos/bH6cE9pGCnWP7UOZOGvuTjJZbvKxmwd58UQ8C9Q2NAxdcHqhiV/ZDtmn0SSUHdBkk0g2Md17SZmSStNnqtRst+Wf/TRSD+fxnCx1t8nphSaWIUnpaRYiH2UeQ0Q2RDZK1iE1TRimKfougXUSqXtEWEShBShMrcLzMz/ipfoBbh0eYl3XxbXWF7Invlj2u617G1++9cs8deopDhYPArAlv4Vm2GTBXWC2McunNn+qfYyL0SKLOvGTlZPkzBwI2Du3l119u8ia2XOULB1d+YVxfQbyi+m8Lyc4Xy7vvVgEXXzdEhvPK+bLL3YNgzvIP/C/sX33nzM7fpSJqJeZkU/ycPNv6FriPndZ19C6h3OhjZw+heFXkVJiWt2YUoFbB78RB3FptiYVA241pl0Gd8ZPKHd+Af76fwWRAN2CwMUJAt70hxmZeZK5jf+EqhMwVqgz4p3g76sX6K3NMn+sn7+YuJdfuOODdE8e4XVnLcrM0CuafLLxV/y19Wm6199KXybOaCOl2pTFJ4YK3Dz2PaY8iznRS59o8is8xh/6D1OxB8mEdTAyIGCdGieMBDWZQQlJQ4sVGfdHLzGT2EzGNijUfbYAbhAPsPibV08zW3VRSqFJSdLUkAjMcC2q/kG6+w7hqAK1Whoa76Gi+qjQYDAbSwwPz9T5OOc+jfhujqlaEdtIocnYobDQKIFpEgmvdY8dpF4jXk0VgTaJ1D0Qkkj5IEOEtxEV5ShbP2ZE38zUgmR9t1xRa32oeIhvvPkdXjx1jLlSkh5xOxt6UzxX3MP3nprlxt51pMPbcBoDF7XuXQz2X3vtayS0BCdKE8zUykShTd7s5YXTb/LghgeX7bsU3z/xfb5x6BvMNGYIooBNuU14oUfaSLcblE5UTnD7wO3nKFk6HaMXxvUZyC9mRnU5wflKm39Ws2noUo41uIP+h3fQD7SXoh/tPfd1heNQm4K/+dKFKaW+7TR/+NsEtSZ5v4gCImVS8Ax69QZG0IxnmumtDDwK43uoJ+JzNkvw1P8LsmviwI6I+fJ0P4fCUWpGlr5oFiliR8FM6RD3O39FrruPmjVALqzx0cqfUXkmSUkaKCuFZWh4GASmw/uC53lsbms7kC+d9L7r2LPkevpwHItGqUkhSBBKxSfMl3lGfx+/4P41aakxtRAwqsoEaJxgLW4YYWkSV6ZZJ+boy9hYuqTi+MzXHF48voAuYark0BLDoEcRlTCeO5QyJSkxQn+4jbobMD9XQZOS7WtTuEGEG0QkLW2Zde1iR+Sbk2Vm5ragUj9GapKaaxKoBpFooPwcWpRBGbMIswToSJVFGGVU0EVEA6kslN8FIkDIOr43gJEokzLSzNUcnj9WaDlOanTlxoA4YP3+y/+d4zOKajONYTQoym8xV44YTq3FjLp5YWyCnuwpbsl88pwGoPPhQOEAxxdOsVAHU9roWkDRH+NHJ+r83c3lZa9dDJq7p3dzqHiIbrubPruPI+UjvD73Or2JXjzpYekWpjSpetUVlSyrpSt/t2b212cgv5gZ1eUE2St1KFxNZ8PVuobCcZh4OdZ+X4hSamnCT8pRbH0a6c8iVUBDJMlEFTxfYOhJCBoxZ94dt9wjtDjrdqsxpz67Py72Rq3By7oFvduYORXRozWpmmcc9N7j/JSySpLQ40zK1bOYCgYW9rA/cw9pe8mTjZkhWz7NgckKqHgKvaZJPnvnWqzCAcyXn4YoQosSKH2EeS2HFFly4SyH1Dp2D/0D1s0+RdqfZj7KMkM3BbJIofDCiG7ZpKj1t4Nv1tbZN1HB80OavkJKgQxjSWKowNYUzQCqboipa9TdgGLDQ9dEywXxTLfl/skqO9Zkl3mBbx1IcarYICPWkRQPUlKvEjCD7+egdgcys49kyqfR3Ixm1rGMkJAygfLQNYWnTJTwQAgUGko0EbJJxuih0ChTaRpk7ZC0rVPzqlRmEhyYKvOjmaeYK2tkzATlRhNLS+PJk0TKZdrxiGgSShspBjnY+D5JLc9CNMu/ecZk10j+nK7NRdT8GlUnxNLiOaVgogkfRLOt2IHlQXOiOoEmNKpelZSRIm2kafpNql4VQ8bUk0JhSnNFJctq6crfrR2j12cghwubUV1OYLxSh8LVdDZcrWuoTcVBvGdT/PPFhWz311sSwtaxa7Ng5xkXNunuEfSKRtKdJ+UXCIWOi00qmYVmy6u1UYj581QfBG58TydfiQO6kPGiUTkde7FM7KFXvwHpljky8Mkzl8oc87J32eVXVYK1mqDXcKkEOpah0XADvEaZsj5AWmoU6h4VJ4inxItxeP0reLJK021gYdCrFhjP34lp2ZTVBu7u76FKD//hZIaUpTGijvO58DGMoIpDkgwNkjT4rv5hBjImMxWPXNLg9EKTXMqg7odoMjbo8oMIN1S42hRGbh/SKFGPujiysIPQHcTUJYYmcfwQS5egFDM1l+6yiaFr6BJ+fGiWP/hpnaGsjQBmCz2E6gEadQ9Dk+QSOkQGhv4MwiwTUidQEiEEurAItSIySKBpIagAzw9RaFi6g1a7l2n1GpZMMV5SGLpLKuGxLflBHt83QyExieuaZBISS5cEoSLU6kSiThCZKGWhaQEF/yhB5LE++V5MaXC6uQ9/yub2wZXb6DNmBi+cxtZ9wCBUPgpFUk+3n0ZgedCsB3WSWpKIiAV3gS6rC8d3cEKHnX07ObRwiJJT4u6hu/nsDZ89J6iulq783doxev0G8gvhcgPjlToUrqaz4eJxFq/5wGPLt1/KNfzNl85QSrXZuIhZmY4D8ZaPxJl14RgceQKSPWwPc0xH6ygm1mP7ZZQQlPR+cuEcVIpgpiAIwJ+NKdvaPKS6YegDcPDbsYLFSICdATECtRkonWLtTR/kDwsP0tDW41SaHJiqkva76JJVSnWLXNLACyKEV0UffQ8bA4fX58u4KoNTXSCjaryh38i/y36bATXHnOxn/NiHYexJKB7DTHXjuC4pAnLRPN3lp6iag4yv/UJ70s7m/jQNL+CwN8r/HfwdHpS7GRbzTKhe/iK4n4K1jq6qF49a61/g+e98k/LUcU7TzbfFnRwMRwgihWZNYXQ/jQoTqCBHpDXQun7CyMJmPhWc5OZkhRmnnx+L9zJhbaQnZTHak8ILQl4bL7cNwuaqDm4YIYUkaUqUim0D3ECxNrMBt2lQ1v6UMDLwggCdNJZuEjCHbXr0ajdRYIaQGpZ/A2n/PvRgGLeexu45iGaVUEE37vxdJNYOM1FqsrFvDYetMbxAoztpMlV2iJSHEhqIiEgUEVpII3LQsbBkmjl3L0k9RdpMnLeN/obuGzg561MJCvg0MUSSjDaIJQba9BcsD5opI4UXeJiaiRd6JI0kWSuLF3n4kc+9w/delKu2dZuXZ14GBTv7dl4RHfJu7Rh9dwZyWH372LeiAWnxmFN7oTIBjXlID8LgzVcmZ1yklEIvbq/XbfDroBlxBj29Nw62oQeNAoNaje7aYUrmMBVrANNboMubxJJhTKN4jZgfl0Z8rMCJNeYqijlzFGh2S9XitnXn/Q//Wx6eKvNHz4/x3LEiXUmD+qaPsWvmG0zUivhhlrXJgI29kP9APKh3sZB7PEhRSNzIz8lXQOapagNkgxrbTz4K+nEaIknB0wijNAPMAaCFPoXUJkYLP6E8Msre0lpuXJPhB2/OEkSKk9p6fj8YRQG2LklaGlt602wfylI49hoc/RZbcwken+klT41/JL/Nfw0+xiFG0dP7iMIEQiXisXJRgryocmP2B/RX1zEV9bAlG7DV+w4/SP9dDot1ZGydF09UsHSJbWgkDI1C3SVhaHhBRMWJ2r8yiUKhmJ7rJujuRnc3IY0agTaDUh4DmTUYhs8t/QOMzYzQI+4gJdZydLbOsUoNvDX4hRFG++NOSUeG7J+scv+2fh5Y9wBvzv53js9USRtperIBDUcSRYC+QEo3cQJJSIggoOQWqIclTMPjaKlJqEIafoMbe27kYPFgW+ttSpOuTIRfHEGLElS8KqWwStbdytbtqfZ7M6XJcxPP4UUetmZTckqEKsTWbKpulVCF/Mvb/2W7QHo+LKVo7h+5v52NL/35pRYv360do+/eQL6aeCsMqxaPGQZQOgm1uZhr9puxpG/krjOGVZd6jkVKaf5IrO+GOPim+uNFIvBiHjsKIGhgoKEJie6O0fALFFObWRNNojVn4+AdhsRmJzLO5r163PwzsQfyI1CegmYBNBOQ8bVLHR77NbaHLg9Mm9SM2zkSjvJ8bQ1y4O9xc/UZ+qJZdmzdsWwxXCzkPvHEYe449l9B5HFbfPqsbxP5NqXqHFOqD91K0qP71IIUoLA0mNGHEW6Zh/SXKKS3tGR/OnXXR4jY8taUgq6U2QqmPhlbZ+DID2BDfrlVgFJ8THuZY+Eo0ppE6k2E5iKUjfL62aYKFHSBb2apOD4HSwZDZoLbGs/wY//nmau6zFcdFLEdQBRGhJGi4QUIBLmkgS5D/DDEDSOOzdbwAoUZdIHpEAUZlJcmFIKmCLln6yh/d9MX+Jd79jLu+VSdGXrTsR2srQsqTkCp4cUyR6VYaAY8tGOAbd05/tkdv8o33vwOr0+dRAvzbE7fSUMewY3qhCrE0iyqbkiEoBIdR+p1moGLFBJd6EzWJpltzJIyUqxJrWEwNUjNq5G2dPQunX0TM4iwiyHtfWzo3dy2KJDWNLPNWWpejZSRwjAMMmYGx3dAh4yV4Vd3/upFgzhcmNcGLqt4eTUdo9ey2qUTyC8FVzJo4mIZ/OIxTz0PjQXwqnEW3ChAbm1Mi4y+b2WlzdJjLwbs0I3Ps/VjNE/vpeL4VFWStDZIT20OI3JjOWHggGoVJwmRKsQSCiuVoMtYAKMHnEJrv6glr1RQn4XujfE1VSbgvV+CP/uVuP6gQhB6vEg4Fdj/t9RzmwjnLT6lj/Gd9M9z1F/Pd+d6mVr3v+CH8IUb1vP4GzNMPBP7Xn9yqMjGE9/knx79MaJ8mgCTamKYo+ZWpupJhjJZqk6KFE3qnkAXHpomIfSZVv1YhsbmNcP0hXNt2Z8mBVKKVgcoGJokjFTLJdGIlTBiHux4JudSq4D87Bgb81UmjTJKKVRkofBR1hhNr4zl5fHDiN6URdrSGSsHbGeKXeuzPHN4ntmqR8KM/c9DRKu9XaDpEmFNket9k3o4h+vkkI2boT6AV7kJup9GRCpeNGhQ8zwOHFvP7x49hKEJGi0XxvmahyYBNDKWpOYGaFJiaIJ7N/cs04f/0k0AcTCvu1BUZYbS/eQTKbzII2VWiKKIBXcOP/QIVAAKMkamXaDMW/llgXSEEd4se3xs6FeWde0uWhRYfU+xNr2W/mQ/J8onqHpVBlID3NB9A//H3f/Hpf3dtXBej/OxH/LDsR9i6iY3dN+AFCtLMM/GlXSMXutql+snkL9T9rFw+VrzS8ngy+Nx1rswFndOSiPOlJ0SpAdi+mMlpc3isaMQ5g9D8XhMnYzeC2aJ0uvfYl+4GT1pEdk5nMoxeupHCKWOBnHQPRsqjDPp+nxMnQQubWMNFcX0ilOOnxp2fz3mxjULMkPxtbrVeNvCyTg7l4JKrc4WMcsYo7zXe47TmbgAu38yHii8dCq7VThA47X/iivGsYM6oSaRkUe2Oc4Gt4pK307KhtfqNzOkiqTDUuwxrik8K8984ibu2djTUiqNtCfWl068yid5hkExz4zey3eDOzkRrqcvazGYtSg3ffpHNoNTYS60+fHsFC+EUzS0OkMjeZR6jqQ7jKNNEKqQKNQRWsiUqfi5kk3VC/DDiLmaS5oa++pZpBDkkyZVJ8AJImwD1uRtThZC/FDR11MgSD9NFCYJgzym2SSynkEG70O5Q/jF+5DpfRhWGRHk0evvoxn208TjpjVZjleOoufeQGkLBEEXUW0H3SkD396Ln6pSqmc5Ub2Lrzxh89COgdh+tiVBTBtdpG2HYsNgqlolUAF9qTzvGXwPU/UpZqZnYuWIMEFAM2yS1bJoUkMu7ZcgpiVmmwe4JbM8hCxaFNiJOPhKIduOh5GKmK5PX3Zme47HeWOePTOxx7kbuqhI8frs64xmR1lwF6i4FYQQq5oxX+tql+sjkL8dXtwXwuVqxi8lg8+NxEVHMxHHTCMZt7lLLc5+s8MrK20OPBYH8dn90GgVJKMwzuy3P8zxmo6pBaRFHSeU5FQJjySGctGkHgflFuKWE4FCEZXGkURoLPK3S5y5lQDfi/l1qYHdjXv0J9Qcn5PmFrz8TewM9pJSCsImoLDUPGgJuoJ5AmGglGo/9gtY5kFya/0ZclEJL3CxLBtNN9GcMlIpzNCht3aQWX8d37c/hRSCe4PnWeseZbNZYMrcgEj3xb+fJfercOw1/nnycerpNKeqg3S7Vb4ovsufap8gM3gL63vTPLRjgH7xi5Se+o88UazzZLJATgp6g4g3tC4c6wDdcjtTtT7Qx9AMFyKLqtfFZi+iJhtUggRpGmRUnT8OH6A+VsILQrYOpCnUPXozNjUnIJcwCcIImYo5d1tL4WkBSqUwNQ0v8ya+O0TkDhG6Qyh7ikR+P37qe5zWHGSUwAiGsPonCJxuVJgn0mex1v4xC2EDlKTh2SQTKUrmDGNVm0eebpBf88O2BNHSNZphgMKnyRzjNUnJzTJZCKiEBZJyAKE3MTSJJjWCKKaCLGlRckv88NQPyZgZNmQ3YGom/YkBxmvHKKiXqYfzpLReesQdjOY3Y52nqGhKs53ZGtLg2YlneezYY+dVq8C5vPbB4kFQcdH1RPkEbugShRF7ZvYwnB7G1EwEYlUz5mtd7bIqgVwI8f8Ffg6YVUqtfmRdzRmaV4LL1XlfSga//WHY+02wcjF/jYgLh1IDrxa3/t/5hZU7UecPx0G1WWx1A4o4K5/Yw3ywiyGtzstrPseu6b+gp3EUNIGnLEzLguY8EIfoCIFqGbxqBHiYQHgmmIuzPh4qhCAirEwQBApTaKznMEea3dRKE9iRE488s3LofogZljClwyHjFmpu2H7sd0NFd1pnvuZwdLbOTYXjBKFDFPmQsEDo+HqG0K1iCQ+TgL80P82+YC0C8MRdfMiCLt0k6c6yPisgcdsyZdLA5A8IzRzSyLI+AQ03iVM1+Giwm/LQB9g6kGL3C89yZOx75MpjHMiVyDo6mjnAbPYmHAVN38XXXsZKawQNC8IuhHTx9Yg/SNzDg+4xBtUcM7KPv4ju54Rax6ZWg1HVDenN2Ny9sYe5qsOesQWmyw6aKjCYGsDQNVw/oqlKaOYchraAFOCWb0IBZvczWJZAmQuoCAK9wbRXQjdDZNgFNImMOUJqoPkYJFA00TSLSjjNePAkNye+wOtTJwm9HJmEpBmWOOXswaGMQBAhKftlahwgpw2TlRuY8fbh600SuoVCUfNrJPQEutQxhIETOLw88zIjmRE+uOHD/Omb3yKlZ0gZPVS9KtPBt3jopl9lQ9/KRUVbt8masVpl79xeLM0ib+U5WDzIo28+ygfWfoBj5WPtbH1TbhPHyseo+TWm6lOkjTRe5HH74O1xpq/g9bnX297oCPACj119uzA1c9Uy5mtd7bJaGfkfAv8Z+J+rdLzleKdnaF6unPESOzXZ+MEzDTWhG7sHWrk4iD/8lfhJ5GxnQ82CwtGWeqQ9yyamYorHWZsZYEaPh+IakUMpsY4oiLCES1oV26dffKUgao84E0IQKB1Nl60mHwXImF4hioufKiRUEkMpQhRR6GJrIUkauFgkDQlSQ9c0PN8FmozJdXxZ/jnd/iwbjG18o7mLb+/rYbrikDA05rR+RoJxIhURNhbQhCIKFL6wKVlDPBfdwpixgayuGGwe4xe8vwE7Rymzla35iJxsnkO1DYt5xr0uarUGdTeIp+toJhuMIn89V+O13c/yq/p3mAtsDqhRjukegxHs9wcRkaKijiFVknowiwgltlYjGxWIMGi4azlizfJG5TNoEpJSw1ERFmBqAimg7gZs7U8zU2my+8QCCrhnUzf7Gt2cKhdZ39XLuoEK+xfeICRAahZY8yQGfoCQZdACfM3HlkmkSBHh44RF0novgT1H0w8xNJOAEB2BxECICF81Scgc8/4RMnmdqJrHslzKbpW58HUctYBCITHRVAohfEJcKuEEUki69PW4zBERB8aUkeI9Q+8hZaQ4UT7BXGOORtDgVPUUjeBbbOrLU69nqTo+GTvL1oE0x5sv8lD3l9pFxYPFg1S9WDlzeOEwN/fezMnKSSIi5p153MBFCEHOyvHI3ke4c/BOBlODjFXGeOzYY+zs3cnWrq3txaAv0RfP/gR6k73s6tvFE6eeQNd0LM3ihq4b6E32EqnosjLmC1E+17raZVUCuVLqaSHE+tU41oq4FmZoXo6c8VIz+Du/sGwOZnu/O79wfjrJby6R/0mgpSxBQBSyQZ3i2/YvcefMkzS1DHVrC2u8vaRyWfCimM9WYYtWUYt20vjYaMpDoCCQoJtnnBCVirPz0AMi5OL5lKJu99E0e5jO7CBZP41MGDSrJQgaKARzoo9djReoyzRdG0bR3DK3T/4JT9cfokvAA8GLDPnHyVHExiEIIgI0BBGmUvgYvGDdEzeaKPi0fI5bt62np+fMZByapXOezozudVSPjOHpWcJIxaPgghr1zBDTVZeHxUtMOCaRlcXQAhJBipLWZFSdZo9rYxs6htRxfY208nAFNITGpoZFPpzhBdMj7AFplvCDPNngVky1loVGwJp8ks/fvY7DM3V+sH+atK2zYzhLb9qmx/sQr1b+Bk/MMu/uxzag6UtUYIN1AiEcIhEgowwRDi4+KWmCMnCjiGYQYushQ2md3mQ3bxamUBGEqkGoQoQS6NhoMnaa3JG/l3H1F4w1TuLjoFpLuCIiEg6CsP1J8FQDjyaZaCu7RhK8Of8m8815Xph8gcHUIMPpYSpuhYyRwVMehWYBXZa5ZaiL3mRMOywGz8WgeLB4kInqBJvzm0kaSfYX9vO9E9+LlURIbN1GExpCCPYX9pMwEu2sd7YxS0pPMducZTQ32t7uRV5bfpg20y2ap5/NXZsZzY62PwOXkzFfrJh5rfujv20cuRDii8AXAdatW3d5L17Ndvi3A5eawV9ov/NNI5p5M/YIr04SB3KtVcBUoCISmV4efvDDhH/9V0xG3WSSWZL995BceAOqU3FRM72WoDqLHjkEGITSjBnxKEAs0iqBA4iYw7fzhG4dGdVa03YUCoEEqkY/GXeK09ZmuiKTsHGKdOCC0CiLHAJFKteDaWQpNEIK6GiJLj7nPIGlHEpRiqNsYJgZMtQBHUNENJVFReth3EtzL8/zC8Ycp6NeNoYniMz3Lr+PKzydvWjdy7bkUebDBuOuQV426NEcvi/fS80JGBZzHI5y9EhBwtTYWO/i1ZzDABW8KEKLTIQI6A4kprDIYuCIAD1MMqVVSZqzuGoE388RiSb1xA9JqwcZyW7mNx7a1p4AtGhlK1umUD3mem7JfJIfFf4zjqgihYYuLZSuCEUDAInENEICIsIwxNUqpPUu9KgXN3LoTubJ2UlqXg1NaLjKRUoBUfybqUcF+uVOyk2fD2+/iYMHv4/AJopqIAUSDVPqeJGHQiIQ2DLNkLmDGfcYVXGIN+cN/NAnaSQJw5DJ2iQTtQn6kn0IKchqcVCtulVOVE7Qm4wLmos8+Fdf/SpFp8hEdQKBoOJVMKVJ1sjihm48mELIdhAfTA5yunY6pkdaWGznXxwLB3Hgnq5PnxNUv7jzi/zk9E+ouBXSZprx6jhHF46yJr2Gr732tYsWPi+lmHkt+6O/bYFcKfUI8AjAHXfccZ555OfBarbDv1241Az+fPudTSfVZmHuYLzdSICZjemY0IuzZc0AMw1OKW5l376DHUufYhon4qBspiG/liA5iDd7kAALCweikBANjUVpoohtbDd+kOb8cUT9MCZnSqAeBoFIkPFmOWTdxW77Xn6u/j9IKIcZ0YcmBUkapKI6J+t1Mr15qk5caE1bGXaKPezTd6AbGbSmjwp1JuVaAs2mMvheSg2PWmGCe8Q+6vQxo3pIqxqjcp65sYP07bjtzL1Z4elsb7AWteHzbF34MUl1kmn6eDzxcfZHI7GyotFHlywTRBaGJlkXZclUm+xLuegSBjI2bmOIdWGZo3oAIsBSGq4MmLd8RnyNCkkCIlAJVAhhci9SbFl2HXZyhhcWniMURVJaL6P2e+NBzlqTvJGn5sbzQH2tFD9pKYkkQagUERqIAE81CFWKLmMdzbCB9HvIZH2qXpUuq4uSKBFEAZIIiY3AIm1kuWEgxVefOkYhUSGl30jWbFBQrxOKKoqo/U+05JHz3jhJtQ4jNU7WTMQ+aFHIdH0aDY2aX6PslJG25IauG0DAazOvUXSKRCpq0w1O6HCqfCoetAxIKSk6RVJ6ik1dmzA0gyP+ERDgRA7rM+vRpIYu9GXqmIyZoepWyViZM38GrSx7paC6Prf+nKeAkezIJUkFr/Vi5sVwfahWYPU7Na91LKWTarNw/MctbxMRN+b4LYmg1AERyxftLPRtjxe8xaeY+jzUJmHy9VhWGPggBKlkD56dQm9WCRFoUsMgQoYi1rOb6fj4U68S1msk8FuF0Tgnj4TFgsiR9BbYm3k/5cRmDo2n0UQCU3rURYoTxmbW+8dY5x1jJhgiY8cqFdEsYemSapRAhgo/jKiTJKl8urQmFWBIqzLEHmwVMOIdY9pch5/q5Xh9HUPFQ7xyuIuRoQH6dO/cp7Ppffx85Y+w6xM4qWH2rv37fG+uFyLItoY/PFl4D79qf4e5oEIjTJGmwVbLwMn+Mp+5ez1Pz/4lR6dDEvUu+v0SM4ZPIjIwQ52uQCdNHk0KbDMOPJFK0dfVIB1q/Na39rOuO4mdnOFU+F1qnkba6MIRdV6t/A2BrzOQ6QbhU3Jm0YXWqnfE06YjvxW49DqIEBHZZPQBcsYQN6fvwm0O8qu32nzz4Df5/tj3kUjSRpp0Kk1vopf12fXM1xv89atTICCt9+JGdbxGgp7kLuriMC7zCEBDwxBZAqWoRadxtQkyUQo3kmSMDEITDKYGWXAWUL7Cj3xGM6OcqMTacCUUtrSZrk+36YbffPY34/meuoUQgrpfJ4gCqn6Vht9A13T6kn0ktSQlr0REhKVZ3Nh9I7PN2XZW3Z/sZ7o+zab8pmULxfl46aU2u2tSay5ZKnioeIiJ2gRvzL9Bt93NhuwGepO911Qx82K4fgL5tYy3QuO+lE46/XLcKCQ1yK2Ls/DKxJnxa7oNXaOw5rZ4ks/03vh1pdNQOBQHexWd6ep0quA3MXUbDBkfAyCMADteEBabgZwSZtAkREcSQot6MZRPVtZJJHNsW/gJhqaRNxUvh7fghIp0sMCm4CQmZbqpEpX3sT4HmlNkvhFR17t4b/QaQdNlIbKZl3l26hMoPUvSnWdNaQ8J4VI2h+kzFH3+IfbUIsbFALbhUFcp/GNHUJu30X/Pl+Pr/9Fvw9RemvPHSYRrea3WRXd9hnsT36CR/UV+Uh4glzTY0Jdm644HOX5sgPzY91jjTlOxBjk0+jEefu+9bB/KsaEvzTf4Dq/WJ7mxUeOByiCW04X0q+zO1zmY6Cd046UtVJBO+Li+5KXKNwjEAqYcoVwuEoQaQ5k8JwoNam5EwjKw0ye4ZeB2Xpp6FRGlaaoGiDiIE6ZbpJURj32TSdZF/5gP9ewC4oYbkZzg0Td/TNbMsiW/hZpXQ6HY1b8LFHFGWq7imIp+7Q7M6DZ87QdEgOclyds3sWvUwgkc9hf2U/NjOiSIdOpBnblGAyd0iOyIvJ0naSTRhBb7pYQeR8tH425NYeAFHn3pPn75xl8+EyRbNfKG3yCIAoKWO2akIibrk2SNLDt6dsTUR2oN9wzf0w7Sn9ryqbZqZTQ7yodGPrRMxbISL312kfJA4cA5+5wvu17kxvuT/ZSdMlW3ymtzr7ElvwVNatdMMfNiWC354Z8C9wO9QojTwG8ppb6+Gse+5rHvb+CZ/3esIkn2xG3wq6FxH9wBWz8Gux+BuQNx8TE1CFb8uIqRiAci3/SZ5TNEDzwWc+HVmThopwZiqWJmqGU/G8SdnRFxhv7+X4dXH21ZBITxmDYh4/8nslCLPVR8aWEoD09YCKUwoyaRkeaQtYt8VOf+wjeoJJJYlRp64HGLOISPSUWl0IRii/cm5oIOmkmflcStH6Ma6dRkF/2mYtAfZ9rP4WQ2MVrdR10m0bPr8Z0IlIEXBoyo0/iaQbVrO3s3/dO4Dd82+DW8dmG4XplnoeYzKE9wQy7JiWaa49WQO82f8qlf+rfLfbZ3DgMfP+fWx5N0BNXSA9yU/TD9xlFG1E8YTszTTK7lW/O3MRnsJ1R1pEpgWR6JZIWCG4HsJqX34EV1CuE+UtF2Dk7XWNuVYDifwPVDTrshkws+QX0dCTlJFEiCwCIiQLojKHMWYRZBRUSNzfTmDSKl2mPy8mv2YZlZvNCjGTSZakxhCIPdU7vjAQ0KEtEGlOkyr35An3qQ7vCjVOUr1IJ5RhIjfP6mz/JH+/+IrJnFj/z23M2kliTUQvzQZ6oxhVKKhJ6g7tdZl1uHqZlM16fxQo+MmWF773ZMeUbmd6h4CE1qnKicIFIRtrRJGSnqfp1IRWhopMwU/cl+vMijP9G/LJtfjY7LydokST3JaO7ihc+l3PiiMqfQLDDbnOVfvedfXbOc+NlYLdXK31uN41xTuJQse3ofPP27gGgFcTdu1Om/8eo17i3PcAZujnXjkYp140YibgJSxL4nTinef3GGaKMQG28BlMYgPxpn16EHueGYavHq0L89XgDu/WexsVbhGIy/EGf5mhX/LNkdNx3ZeaYYJKGapKMytl8iQiA3vJ+ZeZ20reOEknw4T390jLwo4KHhyByWoSOVTRg24qan7g1YxRNEIkQ38yTtDFZQxZFZptQo/1l9kd/N/DcG1m6kS9RInHiO2YZLJRB0USSr9fNm9jPAkkHHB77bLgzXKiWaMoUKXJLl4+iJXaRz3Qwyd95hCQdaBl+vjpdw/ZBIKXYO5xntTVF1Ak7qG/noZx4A4P/39AkGhyMalfVMqZdwKdBtDZExLSo1D4MkPUkLS+pYMkPJP4lU27H02K9caA59xlb2Tc/Ql8zTZ9xMxatyojyOjHRInACtDsrApBc7YbNgPsmhosb2nm189s61/MmxIoRGrMPWLYZTw8w355moTTCaHeXWwVs5Miko4THXiFhgD0PqE3iNASwF//s9u9jWnWNNeg175/Yykhlhsj6JpcXa8YRIYOkWQRgwWZvE0A3Wptfy8MaHeWbiGe5Zc88yLnupUuXRNx9lfXY9Va/KbGOWWlgjbaYZTA2yrWsbRafIbHOWrJXly1u+fFWB8lDxEL/z0u9QdIrLKJHNXZs5unCULrvrolLBpdx4b6KX3kRvuwP1egni0KFWVsaldpIeeCzOepM9MXdttAbtVibiDPrsY14O/bK0CSo7DAunQGlx85DQYm+W9e+PpYpLZ4gqFQdgIeJpPvXZuMjpNeMFQGjxdQ7cfCaTX6RxRt4bq2KEBCJID0F1GjPwWGMJCk6Kkq8xIGuo/Aa6+teSqRVw/ZBU5DFQP8Qr2kZujRZIEJLRqpxO3cJw5TVcZZBQYUvOGOIqg1RU4XjuI/E1qIgRd4YPZWbZES7Aqe9Dqhc3uxG3OUGfLLJAF18PP86+IynWFWbY1JdifW96WWF4IbRRfpNQmGREgyBUOLUFDpg5/vSv9vLqeBmF4taRPO/b3MNPjxZ46uAsbhDRnzapOQGOH7FnrMjx+TqhUpia5I+fH6M3Y7c7Utf33gLcwsn5GlMVl7L3x6SMDBnTaE+779Y3UHReJWe4NIKAYnACN6qS1zfQ8JsUo2nmGorQ6461/EKiZIgpEwgEplBocpZtAzcxmhvnS7c8DIB5wuQnp3+CF3okjARdVheDqUH8yCdn5ehN9KL6HfaM+fQmcpT8WQql2P/8yw9sai9oD6x7gKfGnqLm1XADF01ohCokZ+UIIknNiRBRF4PyJlz/NP/plf/UzuAXZX7zzXkOFg/iBR6/89Lv0J/oZzQ3SspI8ezks9T8GrZus61rGwvuAkWnyEBy4Krb5xcXjcnaJFEUUWwWOV46zu39t7OxayPNoEnWyl5UKmhqJs9NPtd+wtiQ24ApzeuGG19EJ5CvhEvtJC2PQ6onLjwuBnHdirPiDfed2e9KLAaWqlbW3BbTIl495rdTA9C96Uzn59IZomM/Bd+JryfVF1vMpnpAONAsAxF0bVheIFyqCvLrsa+KlYu58oGbYWI3yeYMSSMJmTw4gzC0HYDN/Sn2jJXorh+kqeeYjdZyKizQbUXomiQZlFCALlV8b1r3SJeLxdMYVlgDt8av1P8DGH58HV4drVGnWyRo6BaPeh/lsDaKrSumyw7lps9HbxqAwpnC8Jhcyxb2AwENUmRFHT2s8UjtAywcL5K2NASCpw/N8dTBWfItx0BdCAp1nzCK0DXBfN0jiGC0J4njhzxztMC2wTQ3DJ7p7ANY15PC0DUyg5vYMz7J1EJIqenTlzaJhIYV3IBmBJyovwEqicEQ89FJlOXjBWmcwEHJoxj6CF5YBhUhSRDh01AF9AieGJtElzq7p3dz3/B9zDZnafgNbM0miOKsOWtlGUoNseAuANCXsbl9NM+b0zOEwqZ3/dPks3XGolEOFR9oFwa/uPOLPLL3kVhfLqDb7MaLFAs1DyFiD/Bp7xDK0enPpPGCuCMTIKkn2TO9BwTcPnA7e2b2UHbLpIwUvcle7l1zL6/NvUbdr3OyfDJ2VJQ6/Yn+S2qfv1CDzlOnniJUIU7gIBAk9ARe6LFndg+GZnBD9w186ZYvXfB4m3KbmKnPtB0aHd/h5amXWZdbx5e3fPm813UtohPIV8KldpLmRuIgPh9PFW+7/2lGnOUu4kosBpZ6i88fot30k+6Ph0ScndEv7t+7DU6/FG+TesyNSwl9Q3Hrv1uLj7f2zuXnO1sVtLj4ZAZh80dg+o2Y2hnaBRs+ENM+zRJ9qSx3DgrkkQoHzFvptyyKcgOD4QGiyML25ojCgAwN8LX4/GaaRGOBaXpxPZ+MaJJsjNPVPEUmk4nfY2USqlPIUEM3TE6KUf6O8RrzjHBArQMBt460Bh3ffKYw7JpdnPDXsT46xXyUYLxh8t3wYxxRa9lq69iGRsMLWGh6+KGiEp3CSO9DM8sQdBFUbiRyh0BBqBRCCIQQdCUNys2AqhMsc/urOgGWJjg4lqKgDqBnApp+khPlLIPZJJ/c8Bn++vD3MY2bsLUUVQ7h+WCZHs2ghKb6CGQFXz+FFEmUMHEjFyk9FCG+iv3KpZLMNeb472/8d3b17aIv2RcPMfYDdKmjS50N+Q0cXTjaVn1YpkdfV41+IVibNkmb3edI8R7c8CDrc+v55sFv8vzU8yTMBLI2CHI/UmgIYl9xhEG1CV0ZjZ3dO5ltzMbdmi3aZH9hP9O16XgCkLPAB0c+SG+yly35Lbw69yohcaa/SH9U3ErbhvabB7/J7pnd7e7P9wy+h7uG7uInp39y3gadydokM/UZuhPdFJtFQhViSING2OBo6Sj/6OZ/tOzjfah4iN9/5fdZcBZwI5fjpeN859h32NG7gzsG7mircNJmmv5E/3VFq0AnkK+MS+0kXaQkem+IJX71Qlz0HNwJL3ztDIVyJRYD2x+OhxsXj4GZifcXIraSXYmWWbwWOw/Dd8SB11mIbQDu/EK8z9Iu0tOvwP/8VLz4dI3CnV+EHZ86c7yzF5/MYMyjzx+K9etGsq2e6ekZAetB7tFMSOSZq+WYPG3Su/Aq6aAE+TXIoBbvXzoJmTVogzux0xvoLcwzEf3/2/v3ODnO874T/b5V1VV977nfcAdBDkCCgCiCpChKokRYtmxZirV2IjvrhBvnHDofbew4Z7NeK1aUPYp9rGPnbBI7YbI8aye04lhM4qssy7JEijdJJAGIBAgSGBLEABjM/d73qq6qd/94unp6BjPAABjcyP59PhQ0M9XVb1XPPO9Tv+f3/J4uzEQfOWOKeLpdnjwqYidgGIqKjnHC6yatS3zUfImp9C5ySZttXSnhyPv2N54odjrneVtv5d/nD7CLETYbM/xw+AphGBKEeyl7mrGFKkEIhjOOyj6PHybAz2GZZVT78/jTH8akH7s+xs31Q963JcdM0WOxIlr4TNxqFB89dZ68eZROtZVSMItr5NG2x67U3ySptpHJTlH0CyzqCtooYBlgYGGY0l7vawelPOxYgGNmKASTWIaiFkq7hYFBMpbECz1QokpJWklswyZlpdBaM14cJwgDuhJdDM0PkbEz7O7YTW/YK404l2h0+eIHv9jIWP/s+BskzRxJo4PF4DyWckApKrUqGbuDLdktxEzZzGJGjFfGX2n4qJRqJRaqC7w88TJ7O/diGia7O3ZzR/sdy3j1tJ3mxOwJ3ph5g3cWxEtFh5pxb5yvn/463xz+Jvt69rE5s5mZykyjCPnlV77Mr9z/Kw1+vyPegW3YzLvzVGoVUlaKTZlNFwTip04+xUhhhLSdls7U0GPWnWV4cZiPbv1oo6Ep4sdvNbQC+WqIguj5aSlgWo7QFO//Z8uPa6YkYo4E9PyYBL14dolCiSVlI7gci4G+vTKhvjQtATCehf73iU3sapn8yqaplVl7c6fo1AkYPSR8udZCuXz7n8txXbvkHK//Vymadu+WDLk4Jfy5DsSTPOqujaR/h34X3v4mJDro7rub7m4TikVIdEC2C5K7hd8vzcj97NlNZ+DSuWcve/d8Sja++R4ozYuxV+CBEcPyPWJ+gW2M0MUiXcE87mLIXOaHKVSzOKaqDzoO2NT2k9zxob/LN7/5bX4q9ie4VpaC7qUjzPPzxjf4w0Wbs7EdWIbCNECnjxNTSQIS+L5GkcBUGif3BixswrFkyIRlKGZO/YAfNg/xYGeZ88Uuvht7kFz/3Xz2vs18/pk/xlAJCmUb18/iWAbphMdI6TRutRPfnCNhgG1kyftlqroAOoFjOCRMC5sM1XARExkBZyAe8LreQWuRwPVMwrBKykox587Rn+onbaeZd+cpekXxqal3Rc5WZsm7eT6545OMFcfoiHcs+1VpluJFwfvE7AmKtSIZO0NPohc7eD+zvIoRWPihR6jBNAN2ZHdI96ZpM7w4zNDsEJWg0ujSBNBKM1maJB1L83N7f46vDn2Vb5391gUa7WJNuHkv9DAwqOgKpjLRaKqhSCMTVoKz+bM4pkO7085cdY7fefV3sJXduM6eZA9diS7cmMuutl0NtUozlfLi6Iu0OW04df9+x3RImknGy+PL7s2tpB1vRiuQr4l686la8fVKNFMS3/kNCbQrKZTAW1KXrGUxsFoxNHBh18F68TFaRnhhJr/ytR/43NKaop+9+p/laysuBVBlgp2U7NcwhIP/q1+WzaJ9h2xGlbyMjNvygGTiyoBku/wbeDKJ6L/9T3LN3XuEcpl4HU79tRRaraRsRrWqPFlsvh86b4fh5+Q1qa7lm116QM6pqU8oqhFiEFgp7vNPMEkbM7TTF6uwe/qrPBv8NGP2DmKWSX8uzmKlxrdPTHNQvYxrZZnXSRzLYCBj0Fkc5wu13+a54D6eNz/A62oLxBZIWF2YMcVixScMNQk7RTZXYktbB9m4xcmJAjuCM/yU/2dYdjtvFDPc1+/zoPHXcPcg9OXwmGVmIYljaRxThhxPLhh05WapxF4lHWyixCjVoIDWIZoAnxI9TjuFiosyFB3mTjxdhTBBm+NhKIOZyjxaG4Q6RlXVqIUmScuq/zaKLNA0TFzfJefkWHQXaY+30xHvoOgVeeLYE+zv2U/RK15oJ2vafOl7X+L7498nbsbxQo+EmWCxukhvyuTU9BhbnfswYzaj7jEIY3SnEhyePEyoQzrjnSRjScpBmVCH+Fosb0EGUiilmKnM8Icn/5BFb5GZ8gyzlVnemn2LjJMhFUuRdbK4oUsQBlSDKn7oC1evwTRMil6R588/L81qRgzbtEnH0o2u0fv77ufw5GFGCiNsyW5hV9suTMPk4NaDF8gSQx0yU56RAB5LAvJ0Ml2ZblBRq6lbrnYq0PWaKqS0XiNAXUMcOHBAHz58+Lq/77rxnd+4kFqJvv7Y59d+XTT8WBmSwY4ekQw99CXIJTuWJvlE2fLEcclmT39Hste+uyXYVhckuDVvDKuto7mQ2rxJRJlyNITine/IJmAYUsxUZr1BqCYyRgzJ/tu3iRoGhGvX1GmgUfBL4LSJ+sUryusWRmS4hEICdbpHfNZBCq5R4bX5X5AnhuZrCjyZYHTu+3K/3CL4VaaNLhJhBTss4iuHMdXLqO6hhxmydshbbR9hpPeHmE1La/xipcbDJ/45KrsJx46R9GbpLxyj5FuEtSqv6DtJU+Qb2b/Jmc4hin4Rz3Ow7CIDXXlcXaAj3sFnd/xDfu9Zj7mix2P6KTY5LkaynYWSR9Hz6bOrWKkO2n7sn/GFZ/8Pzi3MEjfTWIbCDzXVoEhv1oL4WWaKLhofX+VBG/gEaKqYGHXddwyLDA/kfpbPPfAZDGeCX/rGv2aiNEsQOyOfDQodxrAsl6wdxzItkrEkXYkuZiozlLwSSim2ZsXHSGvNvDvPvT33Ug2qZG3xOBmaH2KqPIVjiNSw6lfJe3k0ms3pzY2OzG57O+PzinjpRznrvsSC/ZfYJvRnOvG1jIkDke+JZ4vEEVPGl+BYDiYmpmmyJbOFoltktDRKqENydo49nXt4c/ZNamENL/DwQq+R0Yc6rD+LKMK6hYBCETfjWMoia2ephBW6El2YysQLPEzD5JGtjzQC5eOvPb7Mdva5kecYKYyQsBJsyWzBCzyKXpFdHbvY1bbrAtvcaDbpVGWKzenNywL9ej3OmzeTK3n9alBKHdFaH1j5/VZGvhqu1Da3uUB5+lkJqMoQXfbUG0LPdO+W85z4GsyckqLhzNsQb5dANvT1umIkJ+eL1DBrZfLNXHZxSjLn0gx845el8Blvg8nXpZGoNAm1unOiQpQh8TYJ8NVFoU3cggxqvuMTEphnTor0MXDBzkmgnhuuK2gWZU1BFahvELs+LsdqpDA68rKs07RlXW5B2v8P/558P9MPA/fIhvLBX5B7U5qB9u2Q7CY4d5J4aQLfsMk7A+SoMeAeo2h3UwsNspQ4MPafOTzws8ymbycTt8g7fbR5BVyVY1N5GE/HJCAk2kjZnfhlkx+3DvPdzk/yWuHPqFpl4qkpQpliSk+yh+en/oi23IM8sOMO7jy1SMHupez6zJY8Aq0xcznipVGeeH4Y29tPZ+avKbsVXN+RYJvIUwpC+p1EffblJKFW5Kxuko5mzp2iVh/ykXNSxEwTnTmM4TzIYMcgtbmPkLZfww19asYsWvtoVcOobeOR2+8StQiwPbsd13eZLE6SsqWhxTaFO2932vFCj0fvepR/eehf8oOpH6DR0pQTS7HoLZKOpTGUgdaasdIYO3I78DyP7VmY51U8YwIvMU2ftZ246qVaCAkTr2OZBiOFEZJWEu1r4e+BAAnwtbCGpz1iOsZMZYaF6gKWYeEYDr72mSpPkbEzzFXmGoE70EEjq28O4oYSY69aWAMTpqvT5Jxcw5tchYr+VP8ylcpK75S7Ou+iWCuSd/MUvAKO5bA1t5Wf3/fzjaC6Mov/3uj3KHpFepI96x4j14zrOVWoFchXw5Xa5jYPP66VJetVQLZPOj6nTgrnvuugnP/535TmocCTgF+SoQ8yLzMLE0fh4P8unZ2rmYVNHBf9eK0iunK3JJ2ZqW45V35MngQKk5JBx1KSEQf+0sg3tySBFyTABr6MbCtOSdA261ZZmQFpdvJdWV/0n1Li3xLdo/OvyEYRS8rrI1qmNCPNTF5JOk2VJRvA1AnZGG77mFzXj/7msieM7Mww1UqKotVJzUriVMcIQkWHP4WnTZKzz4Jh8jF3gu/s+CecNrezuO1Hebj8R5wuljC9PIGKEdMek4k9dCUcFo02jOJ5Jmc7uKfrJ3jL/32qoSbjiI64KyGqipHYqxwb6SY3m8Txx1gIk4AmaVtoN081tYlcIsboQj+7uz/NeftppmsnMEMXu1Zga2iyqdLFUaNG3IYUcQyjSMn3sU2bpJUkJGRbbhuu7zJXnWv8kcfCTaS8zcTrf6JT5p/jhkV8fM7kz6CVplwrc2j8EHe038HpxdP4oS80iS/ZZl+yj4H0AN8b/Z4Eca0lgw09qm5VeGm/QsyMSTFYB8xWZulKdHFk4gilqkmX1c24P8y8X6bXThKPZZhzbUJzGkMZxMwYWSPLTHWm8WdgYpKOpVlwFwiCgCAMJMPW4ruiDEWoQ7zAWwrWGGg0lmGhQ41hGHihR8YSy1wDg0AHuPXB0F2JLpRSOKYj11srLvtTXDkIoivZxd7OvUxVptiU3rQqzbEy8Hqh1+j2jMbVXY6R1vU04moF8tVwpba5UcHxT/6BBDk7LTywnVoK0lHQTrQJhZAflfeYPS1yQcOsH6OEapk+sTqdE1EqXlECduDXFYqGBOZUtwTt439ct6RFsvtYXHhuz4XKNGFQJcTEVXGMQBPTLlYsLk6Lpi3X7eSgY4dsEjNDS57okX9L84ALjQT7tm2yWaW6mHU1k+Uc8xWLO2p52sMQS5dkozNMOX7yuFzTiqJt0ghZ3PoQifNHyBUnsHUVhcbwATuH77sYAaT1BPtGfp+J7N/ivh/5IdrUNt5/4mtw8k3GSiGjqf34yW4U0Ot4LNrbuGsgxz/++H184cXnG/MlI6TtNFXe4o2z8xTUAf5O+DVqOqRAklRYZKg4zx+bFtMT/xo/NBhfdKka57B9izsqBU45Nc7bsCnw2O+5vGgalHUNK7TIOtmGNWs0IMHXPpPFSf7i9F8AsLN/KyfPpUEpHMugqmfxAoWTGsEN2uiMdzaCZVuijXt67uHN2Tcp1SqEYYwwTHJ8eoTtqX38x9OPN/xOfO03aJCQEC/0sA27kQ2Xa2U8W9Qx8XALTtwkHmbxwhIztVNorckHUwS1MjEjhltzGwqWCDEjtjQlMKJclEmoxacnDENmK7OS5drZRoBOxpJsymxqDGuOqRg+foODN5XZ0IybykRrzWJ1kTl3jkVvcZld7WqDIEzDvGjb/crAm7EzVP3qMhvdyymGXs+pQrduIL+Ww5jXss2FCyf2rKYe2f3J5TyxV5ImIbQExuKU/KxWgokxKQiWZyUIG6YUCgNXZIRr0TnR7M7STH0OZz2I1ooQxiULd9rAr28goQ81JGjaGQjzeEYCQhcPE09bWBoCP8DI9JAsTkDiI3LdJ74mQTndI+caO1oP3vUxc1HHZqhlU2rfCnd/Fg49gTs/ylwtx7Hev8ldpZfwK4piECNjhJiRe2PMkn8jNc6KAnJu5DAYZXmPWhSEoOaHeCqBGXoEgU/o5PifOo/R0/+TQE7OsedTjP7hlzBiDugQJygS9wu83v9pkS6y9h/czHyK99uj3F99mSQl+tQ0BZ3i+2Y3f53OUApM4pYidE6Rp0jopcmEeU7bPoY2cP2QIbPMQ047H0Jz2AplEIJhU3ALeNqjO9lNuVZmvDiOqUx6Ej3k3Ty0PUtX6UGqpV4KVR8r0UGQeJNcPMnofJFykEcrj0TM4ZXxV/jEjk/g1yxenX6dkAoxlUAHBn9y6mvU8DEw8BsWxUvQiKOhaZg4poOlLEYKI/UseoyFYicd9lbKeo5yMCeThTBRyiIMQ2qqhgqFw9ZoLGXJ4Ga/goX8f408CdTCGrZl49bchiYnbsUpeAVKfomarvFQ9iF6kj08N/IctaBGEAai4lGyGVgx4cjHSmPU/BrKULQ5bY2nqN959XfoSYiPS9yK4wUeE6UJbMMmbsX5yptfWbPouPL3YEd2B4cnD5O20+tyX1yJ6zlV6NYM5Cs7JWffgT/5eXEG7N+3MUF9rQaZ9XRn7vkUjL0qE+4jKkEHUsSMpUW1AWA4ErgLE/UpPFp06EZMOjetOCSWP5o1EM3u9F3h4AO3niXrelHThNCVtv2wJtm5Qs5ZKxMENQqhRZyAODXi1CiEScpWG3NqE3emS0tcfvce4fKhnqnHluiYUGSCxJLQs1s6QQOv4RPzg2A3qppnX+l7eEYcHYsT8wOKRkYaa0Jf9oNkZ2PTEtOqSUYXKuyz9vEzY/9/YtqQQK4MtA4JATMso4kBmpqyxdY2mL7gczyx/VG2TH6bbm+SgtPP8Z6/wbC5nU2ZGEwc5+DEGZ6cOwJOG+mevRTtBHkvT/tslp/2/4xZI8k7ajspLUOWvxlPUtZxwjBBTZ0mZaXIB0VQLlkVUFExAjRBGDLhVQiTvdjuAlvad9Gb6mWmMkMqliLQAYYymCxNNlrjd+Z2knWybMlBT+Is2erdMpU++Qgv5H/AbMUloIhC9k3Pc5gJ5nhj+g2G5kZIGm3EDJuaLlMO52QEHDEMFawqvLKwUErx0S0fZbI0yfDisFAwhonWUNKT+F4VEwsZ1A0ZJ0HW6WKuOoepzMZTRdkvk7bTQu8EHoVagZ5ED33pPgpeQWgd32NMj2Eog6SVZNFdbGTZAC+Nv8SD/Q9yd+fdnJw/uUTLKIXWGlvZxMwYbfE2JkuTVAN52tzZthMv9Di3eI65ytwyR8WHNz/caC7qiF/YFBXhttxtPHHsCWphjY54B72pXrZkttCb6r0iY6/rOVXo1gzkKwt8U28CCtyF9bW/X+17wsW7M/v2wsEvihrl5F9Ipt2+Q4K0nYTCvMy/TPeA0SMFQJCgmNu+5GwYSyw9Cax8AjEd4bJ1Pfgrs54gGxK4zRj4FaE4QCgcraHrDph5Cy9QxPCp4UhmDCTwKPs+Pfnj0P/Q0ob11jfEiXH6hLT8h6GszbDEZCsMZEPJDCypber3quBO0GP4tJXP4tQKgMYIfVRYRWY9e0ubo+kw9bV/Tv7UELutHs7r+3mytplPVn0yygUtc4lCDEx8TAK0YbFIhoUwTensGN17d13w0d33gQ/xxPPCZzc38vzdnQX43n9kMN7Gox338HT+HcbOvcDAto/wmbse5YVn/yWLpCmpJBookiJAs80eIuanaTeqnDRqKLpYDGNgeNS0jY1PRSl6akkKYY0JL89AvINffP8vMtgxyInxRf7gBy9zZO4vGHOHcamyNbuZvZ17G40pbuDy+txhdnfOsbNbMsiT376b03yfALfuxZLARGHQxptzb1ILUiRjNqGugYIYNqHSxHSWQM1fEMh74j1oNG7osi27jROzJyj7ZVBCwZhIZ2eVBRQGCdXG1uwm0nVfecdymCxNsuAuNAY0u4HICR3TIR1Ls7NtJ1syW5ZlpPdY9zBeHOfI5BHcwG0E9c2ZzWzPbWc4P8xkeZL+dD8KRaADMnaGUq1E1a82OjHd0CVuirtiV6KLQxOHMJTBWGmMZ0eerWvie/jq0FcZbB+8aNFxaG6I584/x662XUyWJ5l35yl4BR7b9xg/suNH1hcjVsH1mip0awbyZlXJzJBkmZYjPiTraX+/2veMcDElS99eGaAcuMsliTNDYmBl2VIIPH9IeHQQ+V+qQ9QfqKXNaLWngakTku0rQwJrs4xUa1HBxJwlk6xkt9AulTkwTBasLlK1OXxlUSZFXFeIUcOmSj55J12FMcm+Iw579LDIDL2SrN1KQGVWNh8dAlo49Pv+vjT31K+p18jTu3iM0HQIDJuZ5E7680dJBAUITMhuhu5BcPPgFjhfLDFndlEtzPFJ9UeQ+kk8bAo6BCuJg4/l5yNSBycsE6eMrapU5g9Dt1gjNGf1tqlwaz6vTBQahlmPfWQHO08+3thwBoHB7k65tzUHOgYZs+c5Wc5iKKgFmlBrbDzuDuYYMmNUSJLSi4T+BHaQxLMMFowUbeEsMS1h8NOLvXysPcHT3bfzlTe/Qkx3MDKyi/cbmh9zYyTKab7igNM+0AjiM+UZvj38DEW/zDsLI8SUw3fOfJfQvZMQt/Exe7pCjSrtwd2YzgiWlcYNysTNFCmjm+ngLVxdxFJx2p12ZiozDVXJQHKAzmQnRa/IR3s/2qABQh0Kxx2Ap716IVIRt2yCsMBo+TRpP027046lLDriHcxV5+hOdGMog9nqLNWgSi6e457ue/js7s9ekJGeWTzDbx76TfxQ7AWCMCBfyze6N1N2ip5Ez5LPevd+upJdfPPMN+mId9CV7Grcq6pfbah/psvTLLgLDb25G7i8vfA2Ba/Avb33LvvzXFl0bC50Rg1FeTfPO4vvXCIw3By4NQN5s6qkmpcA4rsSdM68IJ2KSm0sb36lSpbm16V75L9IS53ukUA8NyyZqZ0UyWCzdvw7vyHKlGoBgoqoX0xbrheEsjFEZyyUSkw2iGyfFEDHjsBCvT0+uwnatsC2h4i9+Qzz9OH4CzjUqKgUI+RoI8+AMQe1lKxt9rRk9tQ7QKNZnpUFuceGA4SSnedHl6555hQUx7kzP0TR07hWFtdpYyq2mXI84E5nCpEc1zcAJwPVPNmFk7TXChRIsmB28QHve4zSw+2cJgxcMGUwswJqmDh4hChKpDlnbuK2t77Bafp44g1xKrQMePn0HBp4YGc7jmU12uwvtTnHu7Zz2/w0IxUbLwhQCvaqc7SVE7zWbqB0SNpLcc6ZR1mLoDMUVRnXdNhTTfLRgk0s286/SxicOVdkpmBQ8t6mI/YSP+5ViDv9VJP9POiN8+zYYfKJGOm2bTw/8l0W/AViJLGUQ6BrvLX4NjZjKExoDEyGkIAF3iAXJok7VcplTTWoUA7mUTqGgUNHPEM1KNGRkEahrkQXiVgCNGzJbGkE23Qs3dCUayUyRbQUL2NGDK01XuDh1lxGvVFSdoqYEePOjjs5VzhHNag2BkBPFaeYyczw9Lmn11SHLLqL1MIahjKIK6Fj5t15OhOd7GzbydGpoygUpxdPY5s2lrLoTS0N3V7JYVf8CqEO6U50L1O0KKVWbYpqLjq2Rr3dCDSrSuoBAL9S55nNuoWs2liK5UqVLKu9LtWNDEk8JaqTWlmCZiwlG1HHTtj6t5ey8PJ8vRsTsFLyvoEHZlzmaga+ZN9WXM7ziV+X9zv0u/XAb8l7xxJyX3Y8TGr4e1SLNQpOP3nfxQxczpub2Rx7m3jMkix+5pRk3GE9464u1AurdWhFaICLgxs6lMfPYx36b/TsuAeOfhXsNDEF6Zgi4c9wUm+lXS8waI0SR8Pg31i6j4vnoTJH0lRMVeMkzRpb/TPEdZXD3EkVm936DFl/nhChOVxiLFq9aK2p6Bi03wZxh8mX/zu57r9HLhHjzfE86bj8mp+eLrOrJ8Xp6SL/r/96lC+mk9zhT9PZuRQcmjfn3gd+CvOv/39k22O8kzfJqArdXolq+n5+3LB5OZhglAKGMuhTiikyBIGJDlNM8xN8M7eVYuLrjJ+bJ/A1SRt0mKTfe5tva81nwiRJy2CTPcCHqiHzC+cZiznMVGexSGAb0kNgKBtCTZU5EvQRIplqjSoaRahqEMJ8MEV7ooeZ8jw1PFJGjvd3vp/AKDY8u3968KeXTdyJguxX3vwK+7r28b2x7+EHfqPhRyN8eXeim5gRY7Q4ijIUhjZoc9oa7fEjxRFZU1CjGlQxlUlnvJO8m+e3f/Db9KZ68QKvMcHHMGQ8XbEmahKFErMwRDnUlehif89+Ti+cZqoyxf3O/RcMWLZNexmHnYwlcUynoWjxAo9Qh2xKbyLv5QEaTVHz1Xke7H+QobkhBjsGr0phcr26Ny+GWzOQN6tKEm1CRRh2PVAhQW7z/Wv7klzte17OAOhVX1f3bPnGL0sm27FDvg4DMFOSJU6fWOLkvXxd0WKJ0sWyhRcPXPEaR9ebfJRk9dHMznSP/LuyM3T6BIlHPk/nM79BqZxnIZbFa9vOve1pUm4IxXGYmxWqJ/ImR4M2kC7DuowMqIUGFlVKTgfKdxk+NQRAz+b7oDAGpSliMZNYtpv3JX1gErQFidySDBPEftfJkcukmKmUqGqDVFhga/gORXy2MoGvYrgqTU3F0IFHkiqLfo2amaDdrLBpSw7yw9w59jyDU9+g5PRQqv0wx3IPAzBdEOtb25QpOq+mPox5TqwLOju6L9icd+79APC/MPnyf6c7P8ys0cNI+/3YToLbrSxbyfJNe5hc0idrZ5juuo9TUyXmKgvE0ydIVXcyXz3NPf4caSpM+RbD8RhTao5xLAZLcxywe/D8kO3xTfyMqsKHfo2vv/NtLJZL+gxMQDOQyTJfdlgMJjBQWIaJJqA/00/Fr7DgLqDNCpaGmO2xtb2brsQeQh0yNDe0ahCHJcXGQ5se4tWpV5l359Fak41laYu3kXNyLFTKJNhM2h8k7Zi0x8vs6dzGX7zzF8xWZxst9o7hkIglOJM/w47sDkYKI8y783xw4IONCT6hDhvcd9SebyqTlJVqbCJdiS5sw+Z+5/5Gs080YDm6hl+8/Rcb1/D4a49zNn+24cyYsTNsyW5hW3YbB7ce5Kmhp3h5/GXanDY+0P8BbNNuFD2vVGGy2oSi9Vj0bjRuzUAOy1UlE8dFux160hHZv1+C2Gq+JBv1nutFc5HSdIQnj5wR4zkxoFrppZIfXf2xHy1USuAvfW3a9bH2eQn82z60VPB189C7Yr0RdfCxz5Po2kXixNfoitYGcOaYjH0zY7IxRO8DQuEEQeNUCk1omPhGHDss4Tm9lBP9TI2comf3nfK05JWkKFvwoDhR36xs6Lxt+ZrqapuU8tnU5rA4N01GL1A2siym70AXRmjTC5hoDF1jxugioyr06TmUESNuaWJnvwELI5gqzrzZQdIv8P9w/xP/saB4KfEhqn7YGACdSVi4nXs4zM8SLL7Ag9boqpvzzr0fYOfeD3BifJFvPD/MvD7LwzNfxauFVHUCP1MmHRjQPUh3Ok53Jk6o23nm7be4LzFOZ2GUWaWYMSymnTwdWhNqhYHmu/EROnybTj/F1qTPf5v1+YM/+CJhCFWjiBMmMJVT92bxsEkT4rKpLQ1F8VnxAumotE0bP/TxQo+cnRPtdehzdOoo+3v2U/JKMgItlmSyNMmx6WM8ffbpRjEvCmQ9yR5+8o6f5I3pNzg6c5S0I1zzWGGSfEXRHbuDdNyi6BXITybYnFSMFoVSU0oKk7WwRtYWrfxwfrgx6zPqjtzVvovj08dBiaY8YSbwlEeb04aBgW3aq8r9LpX5Rtcw2D64LBhHx3UluvjI5o8sy7oBnhp6iq5EFwWvwHhpvOEcuR6FyfXs3rwYbt1A3oxIu30lHPa1RFSkDAOYHhILV8OCbR8GewHmzwqd0hzUmtccXU88J94jQa2uUpE/XhmOnK93WBqSjWeaeL7FkbVdF1duMPkxaYuPJesBXEsjkFdcUjtE71tvoxaf7BDTL2MrzaKzmXM9B/HGv8XeuWFRE1lxSPXItWtkLU5GTLSSnbLhVvPi8ZIZgMIYnUGeTCqgUOukaHRwZ2yCTcY8oYZAm2il6IsVsZy0PD0YKchug7lTENYw0/34NUXZSBGLhfxo5c/5lvpAPRPXuIHmrgH5g6t07OaPzO08+BP7L/pR7unP8dhHdvBXx5N8w/spHqp9nwcSi5xOdJJv20w20tgjj+RhrY33VZ7H9nv4s8QEU7ECgREQCxUOBrdVLAwFx50p/p+JLbw6f46vdrQRs13a/d3MBq/jmhViOkBhYWDzt3b9bUaqbzBXFYvfMAxJWAlqYY13Ft/BCzwc0yEVSzW43fnqPK9OvoqhDHqSPZyaP4VjOsuMtbbnti+Typ2YPcFUZYr93fup+BVGCiPMVCaxSFFhDGoupmmy0/kYfzn8H5aafTSNFvvZ6iwDmYFGY0/GzjTuz5bMFtGZK4uXx19Ga81AekCcFWvFVeV+68l8LyX3W40HdwOXl8df5iObP8Jgx+AFwf9SuBxu/VpSMBs1fPkTwL9Bylf/l9b6yxtx3svCpTjsa9lAtBaipp2pN2X2ZSwpX5/7nrx/9x6hUJKdq685up72nXUzqUA2gjAKqFa9GccQvXh+FN76KzkunhEqZDXXxa0PLlfBnHpasvfsgDwRpPugMCpFWR1wIXTjfw3tSWaOSbI2h5MfZnLgh2Hi/wMoURMVxupdrr3C5Qc1efHoEbmeypx4uLsFGS+Hxl44S6dp09nTDtOvC8+vAUI5B4bY4jpt0LZZrrk+PDqhPPrb4syValSDJJusOR7c2cGrI1IEf//WHN0Z4Z8LVZ9NbYl1fZx7+nP1MWl3AD8JwMF6gGGFg97eto+SmP2P2IkMMEGoQgxtoJUYWk0lb+dDqTKFcIHJSoK/6NiBGU/gGGm2pNOoomIufBtt+HTENvPxbR8lk9KoqhTxdrbtZLo8Tc2v0eaIprrslxv0ikIRM2Iseosseovc3nY7Fb+CYzo49UlNkQ1ulD1G/z3+2uNsSm8i62SZqcxQ8AosVAJCysz5ZzEZ467kp9mSvo3nClOk6l7pSinCMMQNxZp2e3Y7Q3NDFL0ie7r2NO5j0Ss2JvisFdyi70cNPDOVmXVlvheT+63Ggw/ND9HmtC0773x1ni+/8uU1W/kvdc7VuPVrTcFcdSBXSpnAvwM+DpwHDiml/lxr/ebVnvuycDEO+0pGrW0EFkfq8zvjEhBNWwKXW4BT35KM1682BjRc8Gj/wV+QguXiOclWSxNSvASg3gVqxuScfk1ULdNDsjF4ogcm1Sk+4iBTgaJ71KyJDzzp9pwZknOWp6VxKfTBr/Pj0XvW+XEAbSQg9PGxCFWMjDvB/3DmS5S3/5Ccn1DUNmEgMkMnLde+5QEJ4jNvyXF2ChbPU65W8YqzmH4ZJ3QxYhrr/EtC55ixukInVm+A8usbVk5e3zUom5RXAd8lZVukbAsqHpjd/Hr715mvnubluSSnvUeo6N0NPfln79t8xR/xWllg6PZxdvjrnDSGaDdtZrWJpwJsLQE20anRfQcYcLL80dsPsaB/l5RKUg4WmPHepqzmsAxNf6aLX9jxcZ479Wdo32PQaafYvoW8FaPdaWc4P8x0eZqKL12qurHJSsemZcif+Nvzb2MaYpYV/dxQUnB85twzywJplGXOVGZ4cfRFil4RHxcDi3ZzGzVd5nT1ecywkxCXQq0ik5TqBlcxFQMlxlm7O3YzVZnCNlanS1bDN4e/yRPHnsDXPu1OO7WgxuszrzPYPsjQ/FCD/96e3X5ZqpKVPPhIYYSzi2dpi7dxaOIQO7JSq3p74W380Ofe3nsvCLirjYt77vxzjXOudX3XmoLZiIz8fuCU1vo0gFLqq8DfAK5vIIe1OewrGbW2EchtgfOHJbBajgTGoCaB0yuLesVyRLWyclOJniDOHxLPldxmGF4Q1Ypfkg0g9OtZfk004iCyxPKcBHE7I2qQwR9dysZnTomcUWspOHYNSrZeq8gxhinnCdylTUOZoBUSxFWdejGwDAgxUKFPGAZoZWKpgLaxF4VPj+dk3YYp5/Bdea90j9yDWEKeAiyHcqWEnj+DDSwkt1OpFWn3RgmR7sdl3i5+Ve6Zk5VrqFXFZbFjl+jdVVyUNm5Bsv227VBZoL1vO/fZ02yd/Cp/6f1UYzBENIz4SrFWFuh89Gf46kv/mEkVkDFilIwQC6jFYix6U+S9LXzm9s/gTivOznWw6E8w653CowTaRKFZqMzyO6//B+6y2skmOplxFxk+f465RJbZWpFsLCsyO9Mj0EHDhRDES6UW1sRwigAVKGnAwSBjixnVYnWRlC1Thk4vnubN2TfpSfYwUhjh1PwpKjWR9JkKAu3jBhVMwyAfTHK48u9RaALkaSNECpgaTdoSK4LP7v4swKp0x2pZ6m//4Lc5mz9L3Iw33BtPLZxCozk0eYitma2iEfddjkwc4UD/BY6uF/2cok335NxJRguj9CR7iJtx3MDl6PRRLMPCwKAz0XmB4yFwwXqfO/8cD29+eFkReTVu/VrLGzcikG8CmiuK54EHVh6klHoMeAxg69atG/C2l4ErtaW9Wuz5lHR2VvPSoJM/X5caWhIoZ08LNxz4yzeV5ieIyNPk3Pfq/HjdbKou06K6WB9qbCwVJ6PBD6G/3KSrNAMv/Fa9sKmXAmDnLqF/nKwE21SPPAUYlhyHCVY9mCpTjjOlq9PwXQxdlTUoIFTiaqjqQysqi/KvDkVt03e3PBEtnpc1T58AICSBrT1AEZgOqdosrpEiHpYwIq28mZDg77tC1Wx/SLh205H/3Lyc3yuJZW+mX+oPmf7G5t3Z2Utn0uHOxFvwsZ/kxPhifcJQhU1tCT6xt3ddgb254Wit1+3c+wHUO5vJFMfRfo2iNlhQGl2rkNQ0vD9i8Q6sWj9z+hAeFdDSaxuPmXRrxYx2mVQBKb/K0bCAoxRtnstoUKV5nkDMiOGHPmH9qUk11zKQQKvRhISUaiXxP9E1SrUScTNO2SszkhfPbjdwydgZTGWS90W6Z2BR0bOEgUYTYCmIx1KUvFLDOwUQvXeil8OTh5ksT/KL7//FCwYhw+pZ6vz0PHPVOdKxNDPVmYYlb9UXjXpj0Et9hO1qtgMXQzN9NJAawAs9jk4dxVEOtmkzWhylK97FjtyOxmuigLtWVv3O4jurXl8zrrWBlnHpQy4Jtcr3Lri9WusntNYHtNYHuru7N+BtLwO5LRJMm3E9CqF9e+HD/yugwV2sUyD1AQqGBW1b5d/pN2H82NLrmp8gEjnq5f26BW3km2IsuQfqcIm2SXUuTfGplWXDilAcE6pDB+IDkx8T2mLxvGjX+/fXJYwpoXJ69kjAVPVMHGOpcWng/XUVS5QB6qUOTyMGVqx+DTkJ4Ik2GVgR1pY2Gb9CoBVuoLFqBUxqRL86ZugRmHHKqj5co22bvG91Ue7Btg/J+jbfL5r30JPz/thvwT94Hn7xVfh7fyl0TvM9gMYmfmJ8kSeeH2axUmtMGHri+WFOjC82Dh2aG+Lx1x7nCy9+gcdfe5yhuaF1vS5CJtPPgpXmNAauShJTaRQmZb/K2OI8fak+HNujo+dtkmamHphDso7D5kw/uVBjKMV86DLs53EQc6taUCVuxlFK4WtRMQU6aFApBk2j15qCbMJMYCIB3A1dYsQwMKj6VaaqU8JxBy4JK8F8dV5a9uvn0wR4FAgoEeBS0x6e75GMJRue4SDTfRzLEQ6+Ot/IZldirDhG2k4zU5nh0MQhnjn3DOcK56jUKnhB3ZUxFGvdkl9iS3oLQRhwJn+GseIYcTPOdGV61XNfCtF7R3p1x3IayprbO25v2NbCUsCNXtOM9WbVB7ceJO/lybt5Qh2Sd/ONoupGYCMy8vNAc0TcDNxc7VBX2syzEYgGGr/wW3XDqgqgJNgZhgQh35VAH6H5CSLZBWe/J37joQd1RzkJ4Fq47FpRApYOAaPeGKWEQ+5qesRbGBUduuqSwFiaEtWH7oZP//byesLM23KeTJ/IBjVyPsuWIN6xQ7zMz75Qf0+E5vEK0r6vLMj0SvCOJJWf+leyju/8BsRShG6eWiCbhEZFanV0rUKgYlh+mRie9Ah4Rdmo+vctdb/CUrdspPBZSZVdpCP3r45PkkvExLwLGv/+1fFJ9vTn1ixQGfmPkktsWvN1zdjdsZtXx05hEkOpEFNZaB1Dozg1N8a+vtsbJlnlcJZufxsoGrMlXdOiI7AxUMyFLm3Kxg08XMNkU2YTru8yUZ7AC6X5xTIsTMxGVm4og1CL57epTJRS2KYtFIwGwzSwDIualg7LGjVixOhP91NdkMYey7Ao1AqNa9JNeZoXevihv8xZMQgDzufPsymziYBgzUA3kB7gbP5sQ0mTjqXx6nSer31MbYrRFh461HTGO5mqTDGQHsAPZDjFaGmUL33/S3x28LOXxTU3Z8hdia6Ge6IXeFSD6qrj354+9/QVZ9XX2kBrIwL5IeB2pdQOYBT4aeBvb8B5Nw5X2syzUZg+IRlkog2O/xFU5uX7pRnJqr2S0BF/+DOScRYml/jluXfEtyQy1lJ1WaBVdzxM9wo1U5mVgOkVEc9PGxLpus48lOBVK0uWHE0dctJCfSRyS/eib2/dIOskzJ4Snn3bh4XLri4smWctjsCWA7DzYfjBf4LC+FJ3rVdashsAeW/TWbIAHj8GVpyq62FQwxCWlRoOFRwqtZC0goSuYFi2bBrRtd33mAyIXu/GfJFNfPSFCv25+LLDM3GrYW+71qP0Swsv8uHu/3HN1zXj4NaD/Kejf0Ta6sDEJqRGXo+TVN2U/aVhCGk7TTqWJmklGSmMoGMaNJRicbYGIZ+Kb+er3iizfplODHb33w/JDr478l0MZZJSfRT1ArWwim1YpGIpOuIdjJfGKfklQLLqWlBDKYWlrAannTASVP0qSosOPJvMUq6VWXAXCAnFIbFuUxsh+lqhlgXx6EnADV0mShNszmxeNdANzQ01iqkxFaMn2SPlF0NGuhkYGEoGXxjKYGfbTqYqU/J+gc94aRyNNCw9O/Is3x/7Pg/2P8hnd68voK/VAPTw5od5eeJlDk8eBg37uvctU5ZcjS3ttTTQuupArrX2lVL/EPgmIj/8Pa31G1e9so3GlTTzXA4uJm+MMuziVF2lUvcPr1WkEKpDMOIwd6beHKTl2Plh4avtlATfdK9wv35FAmW8RwJ/+/Z68TOiLUSGR/v2+pi3nGTWsbh0a3olKbSaMQnugSvzRnNbRBJ59A9lg0n1gl8Wv5ZUV1NB9ieWX3vbVnjmS5L5GrElLl2H8r35YRqbS3ZTfVJSmaJK4Vghpq4RYlJSKY4ZdzIaZPhk7AcE6TbseEKuJ5ETKmX6hDzlrHdjvsgmvqntLRYrtUZGDcvliGsVqIzYGIWqv+brmjHYMciWxH7G3ZPUtHjDG9qihkvaam8cV/SK7OncIx2IJ5/i2PQxUHBg80N8tvNeBkePsX1W8aQ1T7ZrN+m2baJXxyCoZTAMk67YVpJqgJpvsKcrQVvKpjBSEFMpTX0+KMTMGKqunnEsR3xKqKDRxIyYFDcNycT90KdGDROzwa9DRLUsce/R96LMP9ABRb9Ie7z9Avqg+UknaSbJe3lOLZwi62TpTfZiYLDgLZBzcmzObCZuxqkGVc4XzgPidW6bNplYprHZ9CZ7OTl38qIKk2YZ4WoZ8j099zTsbj+65aONQN38WV4vW9rLxYboyLXWfwn85Uac65bEpeSNkYnUzEnhnGuVuhVsvaHHLUhnphkXOsJqEx57oSwDJ1KdEpSVKVl9YRwS7UvZtu/WKRrqGXG5vrBQJtN7BeHDUz1CxZSmRKYYq3dzZjYtrfuZL8lGk+qWtfiuFBFh7Y1w+oTM6oxshcd+IEOZ3/wzKeZ6RdlMsgOyUfXvh9I0aW+ROWMAw1Q4YYmys5l3+n4at3MPvaV/veQaGaG5UzdaSxSgT3xt7TWusYl/Ym8vTzw/LLegyd42kiOuVaDa37+dhbHamq9biU/u+jD//vXXsFUOx0xS9heo6Dluz2xdVZLXlexid+fu5cHnjk8yCDy6IjjFwn62OlvEH6eOqvI5MzfPD3Xt5oe2/RBT5SmOTB4hGqWWi+UYyAyglJJRZgvDVPwKVV/Gv1nKouJVlg0+juSKoQ4bfiggfLgf+lhYGIYh3aV1rjkZSzase5sRPelMladY8BYalFCoQ0ItHP1AeoAPDnyQkcIIx6aPsa9rH1prZsozzPnSEDXlT2Fog5STwjEdirUiWTu7psJktQai5rU9/trjl5QIXi9b2svFRhQ7W2guTkYKkXjbUnDZ8ykJdhoJwKnuJQ14cUwy7UghsjgqhcAwEHvXZIfwzAPvr2fdgVAL2x6SLLlWktelumWTqC4IjWHZUHNl81g4J5l4//76QAgtDUNBgBRSPaF5Em0SzH1PNgal5F87IzLI1RDNDT37ojQjnX5WNpzsJtmMvFKd+NaikIlmgd72CEa6E3QNFXiMZN7PN/se4221jU/s7V27QB1RNP/lZ+BPfp7F8yf5/kycF15/mzf/6Nc5ffyldX9sUbdmLhFjfLFKLhHjsY/saPDcaxWofvquT170dStRNca5t3c/CStNNSiTjnVwd8f7sGIBE6UJsk6WR+96FJDgk3fzxIwYL55/kX/8nX/Ml77/JYbmhlY9t65lqDLFuHucc9VXGHePU2WKsNbWKM7tat/Fvb33ErfiVP0q8948n77t0/zCPb9AKpZizp0jYSXojHfihR7nC+cZr4zXJwGpRiZuKEOm/rCkiKmFtUagN5WJbdgYysCsy1h/9YVf5UvfW77+seIYbuByZPIIjuk0hj+XakIBxcwYfck+nj33LC+Pv9zwHO9wOphz51AoPF8KrdVQir5e6JGxM7iByzNnn+FXX/xVziyeWWYN0BzkV8PVFDNvNN4dLfo3GpeSN/btlcy0siDZd7JDuiunT0rQtJNQi9c9VLTw4rFkPaD7jdmX9NwpG4LTJkE32LQ0C1SpOj8OaB+s7BIXXjwnNAlI4K+VAUPO3bVLNpGZ+h9arSwZ+URdWWOnxEbAK8F//DF5Gsj0L+eqTVsCdXFcMngnU28qSolUsTQl67Pi8j7pHrDixN/3tyjs/twyGd9jkYxPrcJtz5+h4S/jLlCtFGH6WXbFslTsTuaDLs49+4e4nXsuKiFc+cj9Y/ceZLDjwhb9lY/StmkTN+P82yO/x0I+RaJ2D3s6B1eVHja/x8nZk9zdfTf7+m5v/DzUIROlCX7tQ7/W+N6XvvclziyeoVArkHfzdMQ7yNm5BmXQPOkmyjI9Y5wZb5KEIZ28C+F5ZniHTfY92OYWil4RL/Q4mz9LKpbCD3xqYY0njj3BA30P8J1z32l4ePckesiRY746j+d7pGNpmcATQA2hZ2zTRqOlk1MrbMPGNEzcwCXUobgOag8VSAfqZGWSb539Fq9Pv87dPXfjBR6jxdFGJyrIphBl/27gCp1ixTnQd4BDE4ewTbuh8e5N9rLgLjTWbCmLUq1EzIjRl+jjyOQRTGUyV54jIGC0OMq9Pfeyq2PXJYPy9ZyxudFoBfKNQLMyIhoeUZqR4BsNFO7bt1w9UazTG2Egmm07LdLAWp0WyW6WQJvqWer87LwNPvRLSzTBn35OdNNRtlyrSjYc1qSJCCQAluehvADzpyU7VpYcowMJjqYtwb8wAZigo2Ygrx6gp+V18ZxQM9NvwZ//z7J59d4tmf7Iy0te6cUpoY/atkpRNhpFZ9pSXK0sNAqOe/pyqwfdZm574tjyInB2ExSmCMqLGEphhyKF668NY+vKquqRCBcoUeaHefLtf8Kjqp3Bzj0XWDdEj9LR6/yaw5kJG9MqUDC/SbJg8sTz5WUZ+cr3OL14miOTRzjQe6AxECEKEFHAPzl3ksMTh+lJ9EjhEcVcdY7eZC9hEJK1s6tOuskmoZhPoLVBWU+hsHHowo4vMlmyKdVKS5K+ULxYNqc3M1+d5w+H/hBFvfCpQ8ZKY3TFuxrug3FLEoGyLmNpC1/79Cf7ScVSbM9u50z+DKcXT4tzYd2KNlQhKlCNQcleIJnzW95bFGtFPnnbJ5mtzDJWHMNUokrRSuSRA+mBRqYfURyWYTFVnhIf9MBle3Y7/al+KY4CI/kRamGNfd37GJobwg1cYkYMy7QwtXjAHJk6Qlu8Ddu0LxqUr+eMzY1Gi1rZCOz5lASmkcNw8s9h4g0ozYKVlKxy4vjSMZUFCZhnXgDq8r5ElyhZ/LIE1IjS2P7hJSfHn3gcPvb55VxvbotkuVseWKJCLEcC9ew7cO5lmHtbzkkgwdUvLw2lQMkTQlCTIFyaAaMujdSBBHuvbtZlJ4QOKo5LM5AZh4WzooEHWYOdlPPoQJ5AzFh9BFyv6L2jrtBE28XtESaOC33y0uOyKYShbBhWXO7Z+VfALRCEmtC0sXSNwHAARUqXLlCPNGvBv/zKl0WZ4WQxSjNkJ46TDTVPm95SbWPi+AVLinjd8XmDhG2SsbPYKsWsPkwuEeOvjk9ecGzWyWIog90du0HDybmTyyia23K3NaiUvJvHNmxmq7OUa2VsUzLd2eosGTtD2k4zWZ684NHfMAO6UnEcM0GcXtpi/WzNdWGaIelYWvxYwhqBDoQq0UoGLdSKS9y3IRJEQxnka3ksQ1QqXug1NOGRne2HNn2I2cosb869ydnC2Ybnt0L07JaysJSFqUwqgRRQUSJZnKpMMVedoxpUSVkpDFXvOFWKpJmk4BaIGbHG9c5UZijVSniB11DZnC+eZ9Fb5K6uu3h4y8N8eMuHua3tNmphreH8mLVFUuiGLmW/TKFW4LnzzzFSGLmobjt6Ass62WWU183Iia9EKyPfCESSvW/8E/B9kfU5WTGLSrRJVvmxzy9lmCe/Lj/vuVNolKBufIWSDtB0j2TjcPEO1EhaF28TzjwzAKe/Uze60vUAXodu/A/oGoSxpe/VSvUmnoQ8Edj17knflWNB3BeLE0K3GBbETNmYitPSvZodkNdXF0E5olOvd23Sd7dk4123X9rfZmXhuNnQK2rHNx1xOVQQBh6+6WCFLkqHlIz0MvVIlB0HYcBkeZKh+SHemX+HWlBj18I4WHHSpsNYULmodUOkYClUpxqDKmyVpBTMkMkslx6uVLt0Jbq4t+9eXp95fZmrX3PAL9aK9KR6GCuO4Wtfmnw0VMMqO3I7KHpFepO9F0y6cQwHJwGe7bE51o5SQk84ZobJ8iSmYbKrbRen5k+RsBIEOmDenccLPWJGjEAHBGEg1j0YjUYcZSoG0gNMl6fRWhMQMJAcaGTG8+48pjJF0qhrBEEgapUwkHPqgJgRwzBE1RLJCd+YeYPJ8mSDd+9J9hCEARW/Qi2s8di+x3hn8R3yrox+y9pZUrEU05XpRgOUbdiNIcqmMvmV+3+l0a35V8N/RUesg4pfWeLuMYXLb9gyr42btZh5KbQC+UZh+oTQGcnOpVb5WrVumlVvXonUExGnrgw5/tS35OeGKUE82SGvnRmSALhWB+pKaV3nbTB+lEbm61eR1n3qwb3JX1zX6t2hMcl0Y87SEAucpaYiFUOHNbSuERRnca0sdtzArpVkvVFhdv6sqErsjGw+k68LnZTsFFol0bc+7f5KXxw3L5RTtFm4BVHAGCZWKodbnMdTNr6ymXIGGLc2SbG0jqfPPU0QBpxaOIVjOWRiGSp+hSOTR2gLbboSnRTDGjYGjy8cY8wvMZAPOFifHBMh4k8z8RiuH+BYJp4ukzK7LpAersa1OqbDI1sfWdbK/ZU3v9II+Bk7g+u7DKQGGCmOsOgughb6pFQrUVVVfnrwpy8waGqPS/Ceq87h+i7KULi+y+723RyZOkJHvIN2ux03kOw0piS4GkhBMmkml5p6Qh/LtBjsGERrMd0q+2WxxjVT3NV5F8P5YdJ2mkVvkWi6PRoCJJDHzBimYVLyS/hRMlKXPsaMGKcWTonBlhZKZ6Y8g2VaJK0k+7v38yM7fqSx+c5WZml32kFDu9PO/u79aDSvT7++6lT7g1sP8vTZpyl6RVlfqBtyy7gVJ2WlrrtP+PVCK5BvFCaO1T0+ZoRiSHZKwbI8Czs+svzYlXM8420yHJlwqQXftOVcke1s1EwTab2jppyVmvVX//PSBCEl/ttLfRyR8RXUB2ZKYdJO1mWJk5KZ1yqNkW6BMgnxZaADPo6/SK1YwcLFsJMSzANPNoRYHNLdcMcnlq7vY5+v35+6zv6ZX5cu1nhO7HJBAn10Hc2F4+KUqG0CV+iVyJLArICTw4nFqXbv55TbiV9eoNOscMfDP8POJn58rDjGZHkSx3JwTIf2eDtuyaUW1jiNge0VOa9r6KCKXfPo8yrk7QRPHvk3PHrvP1oWJJ5840n62x1OjAZ4YQnMCgPq4Qukh+vlWpsD/o7cDo5OHcUNXGzDpjPeScEr4JgOp+ZPNQZArDYh58ziGX7v+O9xJn8Gx3TI2TmOTB1hobqAhcXw4rAMfQgCKSoGioydYdFbRClFh9NBwStQ0RUe6n+In3/fzwOyCXrnJEPf3bGbrmQXhyYPMVuZRaPx8VFaNTpJtdY4poPWmrJfJkCy/aSZJCSkUqtgGRYJMyH6bAUpS6SDKSuFF3oNdUvcjJN38yy4C/Sn+hsDmPNunke2PbKqt8lgxyCP7XuMJ449waK7iNYa27IxkclDby+83SiwvtvQCuQbgYnjkpGakTNfFRbOSyCLxSVANWNlt6FpS+a5/cPyveZiac9d0t4f1GRzKEzBkSfl3IYpzTVjr8LBL8prA7fJ9hWabWeXWeAYlmTSaKFzDEsy83SPtOeHPhgWfgAKCx+FSQ2TAIMqNWXjxFIS8JWSLlQQvfrJr8sGEWXVEV0S+DJgAgPy4/J9yxFaKOKnY8mlYRhjP5AAHoayPq0lI7cc+Fu/D0DuxNd4cHEEcrev6jE/kB7g9YnDtHsuhB5JDDoClxI1poIS97uT9Fg2dhiQNWxQBtlYFqbf5uk3/5DBD/3vwHIFSyU4y0I+Q6L2EbZldl2gWllv40hzwO+Id7CrfRcvjb1EwkrQnezm/r77G8Ermua+8tF/aG6IP3/nzzGVSc7OMVedo+JX2JHdwdbMVo7PHidhJcjGspSNMpWaUA6maXKg9wDD+WGmKlNsz27n5/b+HD+y40eWrfHU/CleHn+Z88XzJC2ZLuTjNxqCQLTkOtTUdE34bEMy7LJfxlQmcSuOpSzm9TyO5RCPxdFoqkGVWlgjZsQ40H8A27B5augpqn6VrJ3lY1s/xpHJI1RqwrVHtYXP3P6ZNZt9os3uF575BYq1IqlYinannWRMOPhi5BL6LsN7I5Bf7lCJyz3+xNckSx5/VWKlX5IgqX348X9z4WsjTv3QEyLnszP1Tkt7KbBH7fDP/yagJIj7rrS3By5U58WHxcmIAdah35Ug3Pc+GPm++K8Ysbo/SxTAdb3jEgnUiZxcnw4lGN/xCbjv78Of/LwoRJRJWF7E1ArfcNBYGKFPGGX6hgHZrXJsfrRe6AyFSy9MyLVE9zLeJnSLlZDNrTwrS0p1w+zbS5tY4C0Nw8iPyr1QhlA/OlwaIN1sKXARHExu4+nyHEVlkVYGnruAgeaeQLFN2XzOM/gCFTqCAOJxkVbaKdK1CmMTry471+Xwp+s5dmXA35bdRrlWZrBjUKx767jYxJkvfveLnC2cJaZiuPUittYSJFO2ZLt+6LPoLTZ+ZhgGbuASEPDw5oexTZusk10WxIfmhvjtH/w2I4URupPdzFZmGS2NiveKthpOihqNG7riRV4332qLt6GUohbWGk0+1aDKrtwuLMPCsRyGF4dpM9ukBtC2g65EF6EOeXbkWQ70HmjQUgd6D3By7iSvz7zOI1sfaTzVXKzZZ7BjkN0duzmfP0/cimObNq4v8sjmSUXvJtzagXw9Afdyh0pcyfEnvy5FwvJsvRCYAtMETNFar/aat74hSoxtD9U10sMXDpg48TUJuBHvHvp1eWI9S60uCJ2T7hUJYv8+2HSPqEnyY7KRGHVTriiIx9vl+25BCq4D98DE6+LbHeHD/6t0eJamEWIlhh1W8Q2HmhnH1zEcXZCnj4URCbSV+fq4uUxdAulJYD/0u7LxZDfJdTr1P6R6MQ/LWWr8idenHEW8f1CTp4S2zaJnB6F9gtq6fxcGR4/xWGqQJ9xh5rwiHYbJFs/DBA7G2iERMlCrkE/kyJp2432KpsFAzb3wfTYYq3UXXs7EmbHSGBYWFb8uLzSkW3e0OIpGC0Xh5WmPtxOEAfPBPEEYkFbphgf3vu59yzaKobkhvvzKlzk1f4qYGaM70U0ilmhk2I7pLGtdj7o/DWXga59qrYobyr1LWkk2ZzZzrnCOzkQnU+UpAGzDpuKL13m5VuaZc89gmzZVv7pMmdOV7OKDiQ8yUZpo0Cnr6cDc3bGbhJVYdRDzuxG3biBfb8C93KESl3N8tAbTFi7XkMkoUsg0135d9B6BJ9Pjq/klH5KfeHzpuJcel/b8Wr0FvzhBI7s2lATosCzBLd0tmvDzhyXAZwfEk8UrC/1hpaTAaSiw0vL+7iIMPydF2h0Pyxqie/i3fh8O/S7qzT/HrOSpGimK8T6c2jyxWgnLqNvaxhL1uZ5hfQOzhNZJ9wr1c/7Q0jzVeFZop1hcJJKKpWETsNS5GQXktm31DcKUJwDflQ0oyt4jHP/T5fST7zH0/G/w9MDtjI2/yECii8cye3ln4jBjlsmAX+Vg2WXQmgC/ysGwypN2HLQmrTVFXSNfK/OZtn0X/n5sIFajByK6Zb46z2R5knl3HktZPLbvsWWvjRQvpjIph2XRcYeqkR1rNGMFCc6RWsMNJLgqRIIYOSwOzQ3xoc0favz/J994krnqHGEYUgyKLLqLjYw7CANCQ2aFlv1yo6PTUNLaH3msyDAQqFDhbP4slrIYKYxwV9ddDC8MCycfiGdKZJtb9IporRnJj7AttxRwV25k6xnScLFBzBv1Wd1MRdNbV0d+qbb4CIsja/pRr4rLOT5aQ//++gBkU/4rTMrXfXev/rrFEfn5+VcksDkZQIt0sFnDnNsiXimBK8e5BRrKk7DOfav6IIfKvAxeMEwJaHPDUC3WlSemBHUnIxLAtq1iFWBYcPuPwO0fr+vZm+5h31741L8i9uifQaaffGKAkrbxrRQJw8OMJeS+p3tlA7LrRdPo/E56idGJNPTpfllHZVE2ADMmtYHO25fMtfJj8v+zm6Drjnrxt7zk99KxU+ifCBPHhX7SNOinoeljPOmNkp98nb54F3mvyHPVUQ5abfxaLcXnih6DbqUu8TQZVA6Pzs+RDTQTQZlsEPKo0cng+/7u6r8jV4JIG/+nn4Pv/AZDb329oSFvpgcAHt78MKcWTjFXnaPdaWdX+y6eO//cBW3uaTtNb7JX5IqBKEQiWZ+mzllr0XlXa1W8UPTYCSuBH/pordGhZsFdaAS4aIOIm3Hc0G0E6khSGOqQsl9utOYbGKRiKVKxFJZh0Z3oFjWLXt6tmYqlhBP3axRqBXa07WBLZgtJM8l0ZZpQhxzoPcDe7r0cnznOi+df5OlzT/Pi+Rcv0H8PpAcoesu57pXBfiM14dHmtvKzWss24Ubg1s3I1zv15yJ+1Kvico5vlhG2b5cBDW5ZstNMr9Aenbdd+DrTgaFvLA1pSHbWDbE6lmfwUVG0a7d4sgT+0kAJreV9ogkxGpgdEk+W8ixUQ+HJVbppYlAgUr7SdN2X3KxLFFfcw/Fjy1Qyzub3MbB4Xs4R74eFmswIJZTsun+/bArzw7LhWI5kz149e26WSdbK8iSQaJNM3ivJ/M7N98m9dAsw8pIEdBCqw3Kg964lxc6Jr8nTSm5LvWGoiX6KxXnaLJKtVclaVdh8N9mRlwGTp5MJBqfGZXMwYkuWCKkeBr0ig2QgtvlCmu5qB3eveHocyp/jy+e/xmw8Q2dmgB25HY1BBpEXyH199y2jV/JunqdOPkVXsoux4hijxVFqQY27Ou9itDjaKOKphsR0ifLwtU/eF/+WqFvTDVzOLJ6hPd7OBwY+sOqk+ZgRo6ZrjfNEHZ+WshqbdMyINRwTlVKNdvlQh1jKwjZt4e9Dl75kH/PePA9vfpisk+WZc8/QmevECzwcy6Er2cX83Dyz7ix5L4+hDDriHXSojmW3c72qoI3ShF/reZsbgVs3kK834F7uUIn1HB/9YY8fE9VI/36hAeaGhdO1ExIkzh+C3T++/PwTxyVI1UpS+AtqYmqVaJeg17wRNQfAmCODHCoLdT9zLYE1qAGWyPm8sjQYGTHJvoPqUqBXSKt+rVyfOF8vcL7xx7DzY2IRCzJ+bmYIipMSjKdOysaT6pbNKqJHIpVNWlql6bpjyeulmq8Xe+uFz+/8htzXZiliFNiafVSm3pA1hr4EcDMm1xu48IF/J69dSaed/s7SiLrQh8ocY4mAviCEZH3oxJYHSE+dZKw6I2s+80JdDePJJpFshy33CwXVTG2tXOtKCg/WF+Cbnh6H3Hme9M4zp0Laax6u73J06ij7e/bTEe9o0AMrqYPJ0iSvTL5CZ7yTjngHCSvBsRlxBbyv9z6eH31enAkNozHNXqEItTy5RfM7o0y6P9lPxs5Q8kvEjTh/76/+HpPlSfzQ57bcbQ0+vOyXCQkxMUlYCQxlYJtijGUrm6nKFMVakXQsjUJR8Svc030PJ+ZP4BgOpiFNQm7gMtgxyMsTL3Nv770ADZMr27QpeAVOzZ/ihdEXxGc8Lo1AhhI6Z+VU++tpJ3ut521uBFTzzL/rhQMHDujDhw9f3UlWCwbVhdWLkhupWml+X78qHDdIUPZK0lATb6tPrumXYmcUwECCWmVBss7ipAQ8ZUoG33m7dIO2b199nRPH4ekvLSlXfK8+mi1ZD8yG/FeekXNGHipR9h7UEF9wU6iQoN6Cb5jSZdp5uyhvvJIcV5cgYsakKNqzR+6J6chmFAX26N5HQyfGj4l/TPceGQqx8rOJ7kGz7e3sO3V6qv7EoZDNKJIe3ivugBds3m9/q14H8Or0ks3jccgbkE0PyOCLdE+jgPi5931u+ftHqCzIxpjuWfJ2cXLy9JAZWP5kFR0bDeq41O/fn36u8eT2+MIx8qHHkDeP61dwunfj+i6O5SzzUWkueM5UZvjWmW9hKpPtue2N7sqeZA/VoMqm9Cbenn8bL/CYd+cp1UoNnjzQgTTv1jt0DYzGOLhdbbuwDZt3Ft9hIDVAKpZitjrLRHFCNgMtjocaTcyMEYQB23Pb2du5l6PTR6VD1JeJOo4lHi5e4DU6SGcqM2INoEy6El3c03MPQ/NDjeucKc9wdPpoo1A6VhqjXCsL91+3x03FUtL4lGjn49s+3si+L0aTbDSfvVoBetnv03WEUuqI1vrAyu/fuhn55Uz9udyhEhc7fmUxdPuHpZty7h3ovRO6Hl7KUpv9syNEdMzA+6XQGLkNzp2WoLb1g2sXb/v2il780O9KJlrNy7GhX9exm6LD1ro+eNmV7NyMNXHqpoxOMyzhq806xbB4Xro/3aIEKSsu2WoYCN0x9SZ89veXrmPlZte49z8hgbJt69oF4+ZBG6eflX913ekRLZuiNmRDseKyUUX3cSWd1ne33EcrLo1Qfo2DnsmT3QMiI5w6STEWX/7ovdpTV+Ss6BaWBnxU5uUpqDwvm0r0ucazQo1te2h9RfGmp8exoEyfkWCHcjhqelA3eRorjDWCQ7lWZqYyQ2+ql8H2QV6beo2yXyZuxhkrjdHutOOYDhW/wubMZn7tQ7+2ZEWgA74/+n3xUlFKipP1Fvmou7LNacMNXJKxJOcL51FKkamribqT3Sy4CxS8ghQxDYOEKV2rxaBIza/Rlexif/d+nhl5RhqKEh18aOBDdCW7mC5P88L5F8jYGapBlZiK4ZgO23PbxQK4qTu1I9HBrrZdvDH7BgvuAmW/3DDwsg3php6vzst7xDsumGq/WnBeazzf1Xim3ApmWrduIIeNmfpzudn6Sm4+3QO7DsKQB737Lk31RH/UETR1rrveuRjPLhVv4cLAUC9CMnEcvvHLS41DOhC6I7LFVUZ90HIoGbcRA9cD7YEfyhsro26SZYrKZdtD8Orvy2Zg1n81TAtCUzLUZlzs3l+qfhHdg9EjksVqHzH7qDcp+dV60VaLOZfRZFOwMpP2SkIrzZ+tD7TewuDA+3k0FuPpyjnGKjMMOFl59PZqS9x/LLlc7hkMyBPM5OtSiI3FlwrMyliy340+1+ia1rrGZjRtHANmgrxXpEvD/t4DDNcWGS+OUw2q7EzuZLI0iaEM4lacilfhhfMvUKwVScaSxFSMql/ldPW00BvICDRYrkmfKk/x+vTr1MJaw+tboWSws6aRJb89/7Zw0RgMLw7Tm+wlGUs2VCi72nax4C1QrpXFj0XDVHWKs/mzbMlsYSAlRccD/ZIgHpo4xFhhjGpQJUOGNruNSlDB0x4pK9UYw9bcnZqKpdie285IYYSEl6BcKzdG0zmmQzWQ5qAd2R2N2+kGLs+ce2bVjPta8Nk382SgCLd2IL9aXK5mHNbm5jfft9TIcjEuPvqjnnlbAlBE0UQyvOaAsUrhsbHR9O2FH/3NpfWffVGonMAVimT4WcmoI//u5iEN2oeaKDZQqj7gYlIoBZAAFw2xMEwJZKme9d/XS9UvonuweF7WFnh1XjxTX6dfp4ZM4a3dRaFpVs7qnBuWOsSmA7J5VfINjfmg085gqKBtP7zvcxd+1iupkD/9nGyIzVp3y6k7LoayYUazT6sL9c87v76ieNPT48HyOE8aCnr20tG2Ddsrknfz7O/Zz1R5irgVx7Ec7MDGMR0SsQRhOSQXyzFdnZYZlhh4vkc8FmeyNMlQ3RemObCcz59n3p2XQB5qDC0USahDqn4VP/AJdNAoZBY9ybY3ZzejUMRMsYJtd9pxfRfLFLVLzslxav4UFb/C7o7dTFWmKNVKvD33NoYyqAZV2pw2DGXwwMADjaHGWSe76pSdx197HNsUu10Dg3JQhgBxYfTFRfHOzjsb9r8zlRmOTBwhbadXzbivFZ99s5tpXZX8UCn1N5VSbyilQqXUBbzNTY/1Shib0WxHG82krC6IJO6DvyDnyI+ubdUa/VEH3tIkni0PCEeuWR5wZ08L1xzJ8VbarEbnSrTRMMra8gD07Bb+2qp3Q3qletHTXHExwVI2nOmX91amZKJhIOf0PeGgA1c2lFUsXi96jwoTwmO//U2hUCJ/9g/+gmwSvldXpiTq3uUWjV9L0xGOfdtDwr03X29+VOoJmw5IgO/aXVdmKhnYEX0ukT3CpT7raCJRPLtk8+u7sql23ylBvvlzve/vQ3WBofw5Hl84yhcmn+fxxWMMbVpDe963Fz72eQZ/6vd59OC/JNu+oyGL25TZxJbMFgpeAdsUSsE2bGYqM4yVxih5JeZc0XWbhvh3h4Tc13sfWzJbGkqXZplc1smyOb2ZhJWg3WnHNEwSsQTxmLTL+/ik7BT9yX4MQ+53TdeYLIlj4vbMdopekenyNH7oU6gVxD9FB5RrZY5NH+PYzDFs0+bM4hkCAjJOpjGV3jGlexMu3pn6zNlnODR5iHKtLBa3tSo1LR2htmmzM7cT0zDJu3mmy9M8N/Ic09VpAh0wV5m7YPLPeqSJ70ZcbUZ+HPgfgP9zA9Zy/bFeCWMzLsXNr4fq6du71CTTnNGdeaFufzsh3ZZz70iADby16ZYoO+/eI00xZ78rUrxkt5x/0wHJ1pUCpcFMI9WvChAKbeGk6l4mgWSjUSCLHBOtuEgj1/PE0nyPDv3u2g1HfXtF0RNdc+gvceWpLvnZarWGZkonKiKCHLv5fhltV5iAxEeWfy6X+qyjp4TMAEy+Ub8HIbTvkM3lR3/zgmse2vtpnjz6H8j6Hn1OO/n2LTw5+V0e7dp10extrW7OyAHRsRwW3UXybh6FzNXMxXOcy58jbsZxYg7diW52te+SgRD1INlMK2SdLK7vkrSTOKbDjtwOTs6dxPM9UJCpZehOdktjkOUwWZ7EC+Vnv3zfL7M9t52nTj7FXw7/JbWwRiqWIm7EOV843/Adb7PbODV3inJQ5sObPkx3sptDE4eWKVHg4p2ptmWjQ82it8i8Oy8a9Lo+XaHoTHTSk+jBCzxeGn8JL/DYnN6MaZgcnT7K/u79dCSW1D63Ap99LXBVgVxrfQKWOsduOVyuxjzCRnDzqxlnddwmWWkU/JJdkqmOvCyZdrpn9Y3m+J9KU4xbBAKYy0tgzG6SQRJGXZ4YuNJ9qZRQEKVZOadXkieD3GZpuY8l6uPaZhEv1QEJppfqil15j9I90nDUfH+bX3/f3xf1S2langCyA0KRDLx/KYjD2p/Jys8v3SP3cftHliuFVjt25XmXad1LS6qVrl1r1k2eLp8lu/WhJT4WwM1fNh8bBZ+eZA9vz4n6ZK46RyaWaVjFJqwEOTtHqEPanXbu6rwLWB4km2mFyE3RNmzygQyt2J7d3uB6Xxx9kUVvsTG4IRlL0u/08/FtH294rnzxg19kOD9MwS1gGibDi8ONIRIazbw7T4fTQahDhuaG6E52syO7g6PTR/HwSNvpZUZXy+5dfdPZ3bGbV8ZfYao81QjiUSBHwZuzb2IZFns69/Dw5ocZmh+Sza7elTqcH142+edW4LOvBa4bR66Uegx4DGDr1q3X620vjsvVmG8kVs3s/5l8nemXgHPmhXqDTdOsy5VBbeK4ZOJ+tV7wLMj/T3ZLUOy9WzLUSHoY+vJv4EGqQ+iF9m1L+mqzrmhp37bURLQ4IsH/8O/J2nIrMtu1CsbrmWV68J8tf233HvGhiVr6L/aZNH9+fnXJM2bnxxoUTkOK5o8ysPgOB2vbGcxsXv28l7lBbxQfu8xZ0a9Q8AosuAt0JbvYmZNi5nB+mKSdZK4yx662XXQkOi4Iks22uF2JLvb37Ofk3EmUr8hGBd96QHtl/BVOF0/jGI6YaPkueWRqUTMydobF6iLzlXnRpCvEulaZDd/xpJVkwV2QOaN1JcqphVONJ4PVAml07wwlnaFAY4OIBkiEYUhN1SjWio3jow0KpBlprjp3wUbRPJ7v6XNP85U3v7KmDPFmb71fLy4ZyJVS3wb6VvnRr2qt/2y9b6S1fgJ4AkRHvu4VXg4uV4FyORLGa4HVAsdLjy8Fv65BaeNfZdZlAye+Vp/1WZ/yo0NAQWVWsuxEm2S4o0ckGy+M1V0W26SAOX1Cgv/w87A4uqTEqFXlPNW8bBCJdqF35s+I9jziulcrGD/9LyS7bm6YalZ8NG9Eq92Drl3rl5VehMIZ2vtpnpz8rkjRunaTtxI8OXOSR+dKMp/zKj/rqx7W2/T7OpjbwuCeT0lhlgu1y5GdrRd4je7O1QYrNNMKzVl4c3Aa7BhkZ24ni+4SnbE5s5nt2e0Nu9wIkfnUy+MvL2XLhiEDJJRJNajSlexid8dusk5WXBxz2/i5u3/uogGx+d4FOqAj3tHQnSulGqPmHMNhpjJDwStweuE0uzt2s79nP8OLw8xWZulMdK4qLVyPDPFaSBVvFC4ZyLXWP3Q9FnLVuBIFCmwMTXK5uNiGs3LoxOb7RacezbpcGXwWR5a4bLPOcxuWqD3qJkl07JBA37dPgqu7KMdX5mHTfRCUhWbxy9C5H9q3yhNA4AGBqFpiibq6xpPxbt/4ZeGNV+rqA0+4/dI0bLpXOPszL0jB0oqv74nncj6Ti1A4T7/xn8kO7F+iPtp3QLKTp50sgxvQyHE5fOwFmV9yG4PH/3zN39e1zn2xILMeWiFax0sTL9GT6OGennsaipBmvj06dqYyw+vTr0tTT7KLhepCY8Cx53toNB3xDj47+NmLBr+V139b7ralaUextAycVoqEkUChqAbVhqqmVCuxK7eLdxbe4fDkYe7tvZfB9kHyqbXvx3pkiLdC6/168e6RH16uy+GNwqU2nNW484vNusxtEfUHWhp7DFN8UJRRl84hWXDfvuW88df+sWwQpUl5TSwBfhImjsq92/aQSO58TwywanWXRbtullWakXW6eehtWtfYD+p+LjPyRNBzp8gMR49IgfdaPPGsQeGMLUzTt2JY8Ua2Vq+Xj12Z+Z3Nn+WfvvlfGNAOe1QPB40tDCba5eD67+vlcr0rA+XfufPvXHQdPYkeZsozMhezTsX0JHoaroPNxz7Q/wCvTb3GWHGMzkSnDIlw5wkIeKDvAX5+/89fMoj/zqu/0xhHd3rxNG/Ovsmndn6KdxbfIetkKXgF7uy4k3OFcxLUUaSsFKYhAzPOFc6xq30XE+UJXp9+nUe2PXLR+7Ee2utWaL1fL64qkCulPgP8DtANfF0p9ZrW+kcu8bJrgytRoNwIXGrDWS/d0+z3UitLURQNWsm/yS6xtl2Njpk4Lp2h8TpdsnBOvp/dDChRftTKoh5R9SBfmhI5IHIIqS65jsWRJT11cUqoF8MSSWGtCrOnRHMd1i4sQG4U1ihkDiS6ya8YVrzRUrT16IubM7+Zygyn5k+h/BqFWIx86PFk4QSPsofBeG7Z7+ta514ru70URdC8jo54B2/NvyX0SK1KwSgwUZrgka2PXHAswMe3f5yzi2c5kz8jPiyGSc7K0ea0XfIePTX0FOcWz5G202TsDF7gcW7xHC9PvMwXH/zismtqm23j+Mxx3NAVMy3lYJs2pjKZd+f54MByb/K1sB7ayzZtvjf2PbzAI2Nn2JHbgW3Yt6RU8WpVK38C/MkGreXqcKUKlI3Eejj69Ww4l6IWmrP6vr2SNY8eEh67f694jxfHwWmT+7H1QVnXd35dePCFc0KTVAv1GZj1AF2eFpvY3rvldd174On/N+TP1zXvSQniiXbh7+NZUXZEjVDTJ+s8fVCfWVp/Iph4XaxyNxLN9zryfmH7sgLpwb0/y5OT4oVzI6VozZnf8OIwjulgW0mKgSvj5YCnKyPSwHSJ39fVeN0njj3BrrZdF6UIhuaG+MvTf0nBKxDoAC/wAAiVmGltzm7mtvbbeHn8Zd5ZfIe/OP0X9CR62Jnb2aBekrEks9VZkmaS/mQ/KDg8eZjJ8iS/+P5fXHNDOzZ9jFQshWPJ75ljyVzPY9PHGsc0Fyh/6Tu/RJ/Tx2xlFi/wmChN0JvqxfO8dW/El6K9huaGmCxNUvRkHFy1VuXw+GE6Eh3szO3kCy9+4ZYqfr57qJUbqUCB9XP0G7HhrMzqtxyoZ8TjFxpuResKA5g8IaqOWkVa3908oCXgmyZ41aUAPX5MsutN98L0kIxjqxVFV73tIeGlKwsylWjPp2RNxQkpcnrFpRmbaOHiV84tvRqs1qUZuUE2TVga7NvLo127brgUrTk7LHgF0rE0XiJHpjjFjLvI6bDCVFCWzWfXP+Riq1uW3ZdnGM4PM1Yao+AVSMVSjaDbTBFEY9sW3UVCwkbTTcyIEVPSwbkjtwOtNd8f/z77uvdRC2q8Nf8Ww4vD3Nt7L23xNp47/xx5N492NIlYgqSVRCnFfHX+ot4nM5UZ/NAnGUs25mcumwO+4vra4+2goT3ezkRpAoVipjxDX7qPvJfnnp57ePy1xy+qNLkUNfX0uafZktlCb7JXJJZeAdM0mS5Ps7tjNx2JDs4unuWfvvBP2ZTZxO6O3Td1UH/3BPL1UBJX6yt9MayXo9+IDWe1rL5zp1jdrrRhbZ6X6VdFkqgDUbc4WSl81opgtonkMArQ7uKS8VXnbUKbnHkB7LTQKs2UTfMTROQMODO0NPlo58c29nNYca+ngzgjxTamF0LevOOX+MTuXvb0yTDkm6G1ell2GJPssKp9apbDMXcUhSajbM62b71kQ1GU3UfOgY7lkLbSFP1io0GmK9m1LHN9+tzTzFfn6Up0cb54HtMwCcMQP/Tx8OhJ9TC8OIzru8TNOKfmT8lmE8hQipfHXyZtp6n4FWzDRmvNRGmCvlQfCStBoVZYs3PzyTeepN1uZ7o6jed7jNfG6Ux0EuiAA70XNoOPFccYbB/k2PQxHNOhN9nLTGWGkl9id8duHuh7YF00Elz8s2+WP0ab3yvjrzCv5xub5KmFUyiUyDxvckXLuyeQw8UpiStVtawX6+XoN0LymNsCM6ckA4/ayiPL3LXWVc3XZ3g6IkOsLkiXZyxV9zV3pTHo7W/V+e/cclOodI9k4qNHls8VXW2TirctzSKN7AsiRM1Lob80xu5yP4emez1drHLk7AJxM8EAM3y/UuOJ54d57CM7lk2232hcjv64OTuMePKSV6LgF0BZaMC1bN4oj3JXou2iqokoux/OD+NYDo7pkHbSeBUPheL0ohhqNdMIY8Ux3NAl5+SYrkwThAGBkok/MTNG1s4yW5nFD33SsXRjQLJt2sxV55irzhEP42zNbGW6Mo1CNQqepmHiGM6qdEf09HBP7z28PP6yKFGCgLyXZ3fHbj67+7NrXl8kMfQ8j750H7s7dvPFB7+46rzOeXf+Ar/ySwXbgfQAZxfPMlVZmuk5XhynP90P0Li/tmFTrBVvekXLrTvq7XJxJb4ql4PIq6MZFzNR+tjnJXv+2OcvfyPp3gOjh0Vbbqfl39HD8v211hXPypxMHTS1+6v6rE1HRrZFKhcUpPsuvB4rLsqTtdbdt1c8ySdfh+P/XTzXaxXRxn/nN5Zma6KEQ6+5UlgN/Mv7HJru9ampEnHLIGtUKMb7ySVi5BIx/ur45PrPd5m4ktFfgx2DfO59n+O3H/lt7u+/H8MwGn4iWSfbmIE5WZ5cM7t9/LXHOTF7gkMTh5goTcjkHd/FwODe3ntJ22mmKlMXjDUbSA/gGNL2H+hAWuwNi7SVJm2nWfAW6Ex08oGBD1ANqg2/l2QsSXeym3QsTVu8jU3pTeJ5Xp2n4BYoekXxCo+3rzoLMxpH15Xs4oH+B9ia3UpPqod2p31NTv3g1oPkPelEvbf3Xm5ruw3Xd5kuTzeuv3k480xlhrfn3mauOndZY9huy93GsZljFNwCKStFwS1QqBUalr0Fr4Bt2I1CKNzcipZ3V0Z+MVxrVcv15OinT4gSpDBWV4zkZOjD9AngJ1ZfV2YAFseEI49mbepAqJb2naIhr+alQBm5/63HzTHCxPEln/REB/TslfVMvSnZeWVBMnGvWB+yoOpWsWUJ+OM/WFrvpTa2pntdqLh0Wi5xv8Dxnr8BwA5/mL63vgWl2sZTaFy9/tgLPNri4hAYajHCQos967w7z/399y87vrnAOdgxSNJK8tL4S0wySX+qn92duxsug/c791+g6Di49SAvj73M6fJpTCW0SkAAJtyWvY32RDuP3iWDO45OHaXoFUnbabxQJhh1xKUN/2z+LN3xbhYM8St3A5ddbbvWlB8u6zRNdjWampqdEJuvMXrCiVtxvMDjrfm3GC2MsqttF1uyW8i7ecaKYyStZEMmObw4jKEMck7ukn7lze8xWhxle3Y71aAqGbmTYX9SHCjzbr5BgWk0uzt3Aze3+dZ7JyO/nIz5SrDSmW8t98ONwOKINPls/7BkyNs/LF+vtilFWXJhTCSAVlx04WZMXpfpl/VGQ6BrVTGNKk6s/3oi2mr8qEgaAUa+L08ATlYKpYk2oVPCYMmUyytJc5FXlOHPze6OK4YVL3NdbLrXA8YceVIcHvhZZtO301l8m/3nv0K3VVndMXIDEGWazbicbC3KkNOxNH7oE4SSJUeUxcrstnnjMJTBttw2PtD/AVJWisH2QTriS+36q2XGgx2D3NZ+G/3JfunNVDKRx8Rkzp1rZO+DHYM8tu+xho+KbdjsatvFpswmPF+om1w8R3+6n23ZbfzQ1h9iV/vafH6UXefdPKEO11zjyicc27ClYzTexa72XUxVpnh25FmG5ofoSfZwauFU45yzlVlCwmV+5at9FivfY646x2Rpkh25HTyy9RHu67uPu7ruYlNmE1knS8YWn5td7bsueX9vBrx3MvJrnTFfq0Lqaue9HOXLxHHxLum9ezlvHc2c/MOflhb9SIIY1oQOKYzL+67nOiLaKvBkM1BKJhJ5BZmHGW2gqU7ZKKKBz5HHtxkTG9roeg797tIYtYtNS+rbi7l7kT9/fpicGSOjNVsmv82iTnHnQP+FjpHRv1f5GV1ta/7BrQd5Y+YNigWhJfJunrJfpivRxWP7HlvTl6QZW7JbKPvlRlv8pRQ5XuDxvp73NYqItmnj+i6L3vKBIT+y40eWDX6IOOd/++q/peAVKNaKZOwMu9t3L3MdXA1RbeCpoad4duRZ0LCv+0Kb37WecL479l1iSgZGp2NpWW91kVw817juyB0xKljC6p/FyvfoiHdQcAsMLw43Bl8XvSK7O3Y3nmhW1kFuZvOt904gv5a+KteqkLrWee/4UQnOcOlNaS01TRQsMSTo1hbqsz21TA0Ka1JQXc91RLRVNJg5FpcmolqlPvC5CCe/Lly4aUm3Z35UHAZjjoy3u8Ixanv6czz2kR381fFJRhcqdIdT9O7YSXc6vnRQPCtDM+bPbMhndLVWqYMdg/zi+3+Rp04+xbHpY3QkOvho90fXbHNfa+PY07ln3TMjB9IDvDj6Io7pNPTcylC0ORcWV1dTe+zp3LPq3Mr1bF5Vv8qB3gONe7VS/bFWh2XBK9AV71qmP4/0783BNsq0L/ZZrHyPHdkdvDb9mmT0Olz1dTeD4mm9eO8Ecrh2virXyh5grfNOn1h/9+fJrwNaVChdg0tWuFGwbNtcH7YcSuBVBthZsGKiium9+9LXET0hdA2K5S5IEbaal2ai7CZpFPKrkOqVrL1jh2TuK9U2lztGDQnmDYXKd/bWR+kll5+zugi5i8wRvQxshFXqYMcgX/zgF9d17EZ4bB/cepCvvfM12pw2tNYN/ntf9751UUK35W7jiWNP4Gufdqed3mQvpmHymds/c1EFz3rqCattVCOFEfzAZ6w8RtyN0xXvwjItQkLSsSVaa72fxcr36Ep2cXvb7UxVppgoTdz0Gfel8N4K5NcK16qQerHzrrf707Qly65VxUlx8/3yvehcXYPCicfS9alAWgJsqmdJ7XKp62iWHW6+Tzo5A1d4b8OU5iBCaduvzIrG/Ed/U1779L8QyaPvihd7qvvyxqittZbo+qKnFSd3WZvDpXA9s7WN2jge7H+Qk3Mnl9EjtmnTney+6GuH5oZ47vxz7GrfxWRpkrnqHAWvwGP7HgO4qIPgevxMVm5UI4URjk0fozvZjdaaQq3AaGmUzenN3N52e6PQ2Xxtl7oXq22GpmHyK/f/ymXdx5vV9rYVyDcC18oeIDrvygab/v2Xfu2JrwmVoQOhFKyEZOXjR8WEKwqW6R5RsORHJZgaJiQ7JPjG4usftNH8hHD7xyWgRpa8pRnJ1KNJQ5Hh1h0/isy3oz6mDfl6x8Prp44utZboaeXE1268hcNVYCM2js/u/mwj6F5OZt+cVW/LShDNu3neWXxHTK9WdJrOVef48itf5lfu/5V11RNWblRT5Sn2de0jZac4OnWU3mRvY+iEaZhXVHBs8PUnn+LZc8+CWp2vvxhuZtvbViBfDy5VyLxWhdQ9n4KnvwRzp4WOMGLSVp8fW/IDXwvjx2DhjATwtm1ielUYl4w3KnR+73dkCpDviTmWnZbsvTAhTUHt91zddUQb0cyQBPFoMn1kuHXoCaFuBu5Zes3MKfm+UzeQiufEufFy6hmrPK0M5c/y9JF/y1geBpwcB412BoNww4rdN2um1owryeyjuZpa6cY0+65k17KsemWnaZvdxmxlliffeJKHNz+8ZFd7kc2jeaP6wotfaHRdRo1BeTePUuqqg2Y1qHKgb22+/mK4mW1v3zvywytFRFGsNQAZlksPJ45LQ4ybl+C/muztYtK6ZvTtlfd0sjLhx06IZLB9+6UbaNxFwKjrwtNihpXbIkOem10WC2Ng2XLOzp2Q7RNzLJRw1+spBk4clw3n7W9Jxv/2t+Tr7j2yEZRm5EmiVhXKJfJzKYwvpzuKUzD9phzft1eCvJO9agXQ0NwQT05+l3zfXvrsHPnqPE965xna++kNqZlcSYPQjcJgxyAHtx5kID3AWHGMp889veY6m+dq2srGDVyOTh9lpjzTyKqjYcfNnaa1sEZnopOsneWdxXd49K5HyTrZxrDpSwXO5gHKXYku7uu7j/v67uORrY9cVcBcKeNcObj5Urha2em1RCsjvxSaC47FKckuSzNLgxVWDl2ePyMeJfHs6sqIy1W4BC7sOihFyAjNw4jXQjxXV4xUhXv2XXldvKltvW+vBPBtD114/vzo+m1nD/1u/akhK//5rnw9/Jxc1zd+We5ZqmtpWlBlQTTszVz4zBBgQKp97WHTV4DGH3AmC+07lmZrls9e1KDqss+/wZnatcjyL4ceaJ6reXTqaMNS9uTcSbbntjey6iffeJK56hxtdhuu7+IGLrs7dzeC3OXSQtdqgPLV+o9f9USoa4hWRn4pLI5IUC5OCc9bqy7neZuz6fXYAFyuVcCVNjL17YPeuyQjdwvyb+9d8v2NOH8zzh8S6icWX+rYdDLy/b69suEN3CMZdrPh1n2Pyb+VBdk8Il15V9Mf/QYUja91JhWdf6Yyw6GJQzxz7hlOzp3k5NzJKz7ntcryLycrbbTY1+d/RvI/L/SWNRE9etejdMQ7mHfncSyH/T376Up0XXGQi855OVn8etCc6Ue4XP3/ehqcbgRaGfmlcCmetzlbXI965XIVLlfKvze35mstQbK6CLt//MrPf7FawcoprM1fX0zD3zyfM9Ul64005bAhBclrnUkNpAc4mz/LqflTYmJVb+8ueIVG4L3czPpaZfmXk5WuHOYc2QCsbLEf7BjkV+7/lWWF1JWDoS8X10IVtBH6/6tVD10rtAL5pRAFutKMZOIRz9u//8IAvB71yuUqXK60kSlqzW92GkwPiBqka9dySmi9mvS1KKHN94nFrVJLNI5XED6/eT1rDVBeSTtVFja0aHytHtWbz/9PX/inKBS2aeOFMstyV9sunjr5FNWguiaVsRZ9cq3GkF3OpnY59+1mDnIRNkrGeTNdUwSl9bUZaH8xHDhwQB8+fPi6v+8VY+L4cp43aqyJAnLEJTcHu+ZAtBZHvtYxG4Xv/MaFm8bKNW/EufZ8SvTgpenlevCD/+zyr+kaWR1ca1XJLzz9C8ta2Hdkd9CR6ODZc89yoO/ABR2RWSfbCJQr5YBRsFmtkzLrZNfdzbkamjny9Qx1vl5qnFtB9XMzQCl1RGt9gZH7VQVypdRvAZ8CPOAd4O9prRcu9bpbLpDD+gPwegLRtRxw0fwef/IPuKCrMypk/sTjl7eOP/1c3bVwlaLo5Z7rXYjHX3t81cB7ePIwH93yUYym+xbqsNFNuFawvliQ34iC580UNC93c3kv41oF8h8GntFa+0qp/y+A1vp/u9TrbslADrdOsIo2nZm3hR9XSuigqKszyqIv58lgI7P7dyHWCkZxK45t2KsG6+YpNRGiIP9rH/q1dQXcmy0oXwnW2gSv9unj3Yi1AvnVDl/+66YvXwJ+6mrOd9PjWnm1bDQiZUz//qWOStNe6uqMOh0vxx9mraLo1gclyN/sm9s1xlr8K7Amz7wafdLMV1+Kj73enYbXatO4VvWA9xI2Un74c8A31vqhUuoxpdRhpdTh6enpDXzbFi5AJJlM98CWB0Rp43vS6h9l3NExzbiYemY1v/XIhfFizVLvIURTgH7tQ7/G5973uWXyvNWkdFcrZ7vaBpfLwbVserpaWWAL68jIlVLfBvpW+dGvaq3/rH7MrwI+8AdrnUdr/QTwBAi1ckWrbWF9aFbGpHuWF2ajbPlK/GFWPpF85zeujevjuwxrZdZXq6K4npnstWxPv9aqovcCLhnItdY/dLGfK6UeBX4cOKhvhARmNdwqXPa1wnq04RvhD3Otx+e9B3A1crbr2Wl4uZvGlQ6nvlmlizc7roojV0p9AvjfgIe11uWNWdJV4loNebiVsB5t+EYM2mjO6pvtC1Jdlzb1auGqcT0z2cvZNK6Eu79Z9dm3Cq5WtXIKcIDZ+rde0lr/g0u97pqqVlrqiuuHaNMMfDG7whBJYu9dYof7Xto8bxCup857vRLBlgrl2uFaqVZ2Xfqo64zW4/6FuFZUU5TVf+OXZShFqn15s1SLK3/X4HLoj5YK5frj3deif62GPNyquNZU01oOiu/1zfMqsV4N+fWUH66X/riZXQLfrXj3uR/u+dRyR73IaW/Pp27sum4ULtdt8UqwEQ6K7xIMzQ3x+GuP84UXv8Djrz1+RfK89Ur9rqf88HJwM7sEvlvx7gvkq+md38tc7eXqxa8Erc0T2Dit9XoD9M066OBa2dC2sDbefdQK3DodmNcD14Nq2ggFzDXE9SoIbpTWer0c881MYbRUKNcX785A/l7EWgXNazVPdCVu0s3zevLIG1XkW2+AbjXStBDh3UetvBfRMMk6BfPD8MafwB8/Bsf/9D1PNV1PHnmjWs3XyzHfbBTGRtQHWrgytDLydwNOfE203DMnwXQg2SmZ9wu/tTRE4j0SuFfiekjhIurm5NxJRguj7GrbxZbslivOkC9H6nezUBjXW0HTwnK0Avm7AYsjUByTIB6Ly/fiWSjPvue13NeaR24OYHe030HCSnBq/hRlv8yezj1X3Gp+swTo9eJaerG0cGm0Avm7AbktcP6wZOIRfFe+fo9rua81j7wygG3LbqPdaX/PdTFe6yefd4Pv+rVEiyN/N2DPp8CwhE7RWuaK+lVpAHoParmbca155JtVAni9cS2taK+lhe67Ba2M/N2Avr3wkV8WTrw8K5l4x07xO3mPablXw7WkKW5mCeD1xLV88mnRNpdGKyN/t2DvT8Bn/k+46zPQsQM6b3tPqVNuFFpdjIJr+eTTeuq5NFoZ+bsJ72F1yo1Cy0t7Cdfqyaf11HNptAJ5Cy1cJW41hcmthlbj06XRolZaaKGFmxo3W+PTzYhWRt5CCy3c9Gg99VwcrYy8hRZaaOEWRysjb+HK8V4fct1CCzcJWhl5C1eGyKirsrB88tDE8Ru9shZaeM/hqgK5UupfKKWOKaVeU0r9tVKqpQd6r+B6TB5qoYUW1oWrzch/S2u9T2v9PuAvgC9e/ZJauCVwPSYPtdBCC+vCVQVyrXXzoMYUoK9uOS3cMmjN6WyhhZsGV82RK6V+XSk1AvyPXCQjV0o9ppQ6rJQ6PD09fbVv28KNRmtOZwst3DRQWl88iVZKfRvoW+VHv6q1/rOm4z4PxLXW//xSb3rgwAF9+PDhy11rCzcbWqqVFlq4rlBKHdFaH1j5/UvKD7XWP7TO9/gvwNeBSwbyFt4laHm7tNDCTYGrVa3c3vTlp4GTV7ecFlpooYUWLhdX2xD0ZaXUIBACZ4F/cPVLaqGFFlpo4XJwVYFca/2TG7WQFlpooYUWrgytzs4WWmihhVscrUDeQgsttHCL45Lyw2vypkpNI5z6zY4uYOZGL+IG4r1+/dC6B63rv7muf5vWunvlN29IIL9VoJQ6vJpm872C9/r1Q+setK7/1rj+FrXSQgsttHCLoxXIW2ihhRZucbQC+cXxxI1ewA3Ge/36oXUPWtd/C6DFkbfQQgst3OJoZeQttNBCC7c4WoG8hRZaaOEWRyuQrxNKqX+ilNJKqa4bvZbrCaXUbymlTtZH+v2JUqrtRq/pekAp9Qml1JBS6pRS6ldu9HquJ5RSW5RS31FKnVBKvaGU+kc3ek03AkopUyn1qlLqL270Wi6FViBfB5RSW4CPA+du9FpuAL4F7NVa7wPeAj5/g9dzzaGUMoF/B/wocCfwM0qpO2/sqq4rfOB/0VrvAT4A/M/vseuP8I+AEzd6EetBK5CvD/8K+GXeg6PstNZ/rbX261++BGy+keu5TrgfOKW1Pq219oCvAn/jBq/pukFrPa61/kH9/xeQYLbpxq7q+kIptRn4JPB/3ei1rAetQH4JKKU+DYxqrY/e6LXcBPg54Bs3ehHXAZuA5inS53mPBbIISqntwD3Ayzd4Kdcb/xpJ3sIbvI514Wr9yN8VuNg4O+CfAj98fVd0fbGecX5KqV9FHrn/4Hqu7QZBrfK999zTmFIqDfwR8EsrBq2/q6GU+nFgSmt9RCn10Ru8nHWhFchZe5ydUupuYAdwVCkFQiv8QCl1v9Z64jou8ZriUuP8lFKPAj8OHNTvjcaD88CWpq83A2M3aC03BEqpGBLE/0Br/cc3ej3XGQ8Bn1ZK/RgQB7JKqf+stf7ZG7yuNdFqCLoMKKXOAAe01jeTG9o1hVLqE8D/ATystZ6+0eu5HlBKWUhh9yAwChwC/rbW+o0burDrBCVZy5PAnNb6l27wcm4o6hn5P9Fa//gNXspF0eLIW7gU/i2QAb6llHpNKfUfbvSCrjXqxd1/CHwTKfT91/dKEK/jIeDvAI/UP/PX6tlpCzcpWhl5Cy200MItjlZG3kILLbRwi6MVyFtooYUWbnG0AnkLLbTQwi2OViBvoYUWWrjF0QrkLbTQQgu3OFqBvIUWWmjhFkcrkLfQQgst3OL4vwGh9bCPaB7kXQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"X_1_val = np.random.multivariate_normal(mean=mean1, cov=cov, size=N)\n", | |
"X_2_val = np.random.multivariate_normal(mean=mean2, cov=cov, size=N)\n", | |
"X_3_val = np.random.multivariate_normal(mean=mean3, cov=cov, size=N)\n", | |
"\n", | |
"X_val = np.concatenate([X_1_val, X_2_val, X_3_val])\n", | |
"Y_val = np.concatenate([np.zeros((N, ), dtype=np.int32), np.ones((N, ), dtype=np.int32), np.ones((N, ), dtype=np.int32) * 2])\n", | |
"\n", | |
"X_val_tensor = torch.tensor(X_val, dtype=torch.float32)\n", | |
"Y_val_tensor = torch.tensor(Y_val, dtype=torch.long)\n", | |
"\n", | |
"plt.scatter(X_1_val[:, 0], X_1_val[:, 1], alpha=0.5)\n", | |
"plt.scatter(X_2_val[:, 0], X_2_val[:, 1], alpha=0.5)\n", | |
"plt.scatter(X_3_val[:, 0], X_3_val[:, 1], alpha=0.5);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "8f0cc265", | |
"metadata": {}, | |
"source": [ | |
"Fit a NN" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "af2de834", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"class Net(nn.Module):\n", | |
" def __init__(self):\n", | |
" super(Net, self).__init__()\n", | |
" self.fc1 = nn.Linear(2, 5)\n", | |
" self.fc2 = nn.Linear(5, 3)\n", | |
" \n", | |
" def forward(self, x):\n", | |
" x = self.fc1(x)\n", | |
" x = F.relu(x)\n", | |
" x = self.fc2(x)\n", | |
" return x\n", | |
" \n", | |
"net = Net()\n", | |
"optimizer = optim.Adam(net.parameters(), lr=LR)\n", | |
"\n", | |
"train_losses = []\n", | |
"val_losses = []\n", | |
"for i in range(ITER):\n", | |
" net.train()\n", | |
" optimizer.zero_grad()\n", | |
" logit = net(X_tensor)\n", | |
" loss = CELoss(logit, Y_tensor)\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
" train_losses.append(loss.item())\n", | |
" \n", | |
" net.eval()\n", | |
" logit = net(X_val_tensor)\n", | |
" val_loss = CELoss(logit, Y_val_tensor)\n", | |
" val_losses.append(val_loss.item())\n", | |
" \n", | |
"plt.plot(train_losses)\n", | |
"plt.plot(val_losses);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "254b7a2b", | |
"metadata": {}, | |
"source": [ | |
"Plot the contour of the entropy $H(y(x))$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "5c191825", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"x = np.linspace(-5, 5, 100)\n", | |
"y = np.linspace(-5, 5, 100)\n", | |
"x, y = np.meshgrid(x, y)\n", | |
"X_grid = torch.tensor(np.dstack([x, y]).reshape((-1, 2)), dtype=torch.float32)\n", | |
"\n", | |
"logits = net(X_grid)\n", | |
"entropy = -torch.sum(softmax(logits) * logsoftmax(logits), dim=1)\n", | |
"Z = entropy.reshape((100, 100)).detach().numpy()\n", | |
"\n", | |
"plt.contour(x, y, Z);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "78a2de47", | |
"metadata": {}, | |
"source": [ | |
"Plot the contour of $H(y(x))p_{in}(x)$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "60460a66", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.contour(x, y, Z*gauss_mix_pdf(pos));" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "93ae8664", | |
"metadata": {}, | |
"source": [ | |
"Plot the contour of $\\exp(H(y(x)))p_{in}(x)$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "e9a5f9bb", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.contour(x, y, np.exp(Z) * gauss_mix_pdf(pos));" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "59235d3b", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "064dc1c8", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3.8.12 64-bit ('pytorch_env3.8': conda)", | |
"language": "python", | |
"name": "python3812jvsc74a57bd06f2f131579629d27a329fbe09a97ebf657195acfb3dc10d42a9c9600a459d3d3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.8.12" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment