{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "ee634ea1-29af-445d-b53f-e0930c1a9a25", "metadata": {}, "outputs": [], "source": [ "# Author : Evangelos Papoutsellis\n", "# Contact : http://epapoutsellis.github.io/" ] }, { "cell_type": "code", "execution_count": 2, "id": "7733955e-a531-40f0-a0b9-ef39bc6d7ccd", "metadata": {}, "outputs": [], "source": [ "# Import libraries\n", "from cil.framework import AcquisitionGeometry, VectorData\n", "from cil.optimisation.functions import L2NormSquared, ZeroFunction, LeastSquares\n", "from cil.optimisation.operators import MatrixOperator\n", "from cil.optimisation.algorithms import FISTA, ISTA\n", "from cil.plugins.astra.operators import ProjectionOperator\n", "from cil.utilities.display import show2D\n", "from cil.utilities import dataexample\n", "from cil.plugins.astra.utilities import convert_geometry_to_astra\n", "from cil.optimisation.functions import TotalVariation\n", "from cil.plugins import TomoPhantom\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "import cvxpy\n", "import astra\n", "\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "id": "6fd2c02c-00ff-4a43-804d-a4e5c713bcd2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/cil_devel_epaps/lib/python3.7/site-packages/cil/utilities/display.py:358: UserWarning: FixedFormatter should only be used together with FixedLocator\n", " axes[i].set_yticklabels(labels_new)\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Detectors\n", "N = 64\n", "detectors = N\n", "\n", "# Angles\n", "angles = np.linspace(0,180,90, dtype='float32')\n", "\n", "# Setup acquisition geometry\n", "ag = AcquisitionGeometry.create_Parallel2D()\\\n", " .set_angles(angles)\\\n", " .set_panel(detectors)\n", "# Get image geometry\n", "ig = ag.get_ImageGeometry()\n", "\n", "# Create projection operator using Astra-Toolbox. Available CPU/CPU\n", "A = ProjectionOperator(ig, ag, device = 'cpu')\n", "\n", "# Get phantom\n", "# phantom = dataexample.SIMPLE_PHANTOM_2D.get(size=(N, N))\n", "phantom = TomoPhantom.get_ImageData(12, ig)\n", "\n", "# Create an acqusition data\n", "sino = A.direct(phantom)\n", "\n", "# Simulate Gaussian noise for the sinogram\n", "gaussian_var = 2.\n", "gaussian_mean = 0\n", "\n", "np.random.seed(10)\n", "\n", "n1 = np.random.normal(gaussian_mean, gaussian_var, size = ag.shape)\n", " \n", "noisy_sino = ag.allocate()\n", "noisy_sino.fill(n1 + sino.array)\n", "noisy_sino.array[noisy_sino.array<0]=0\n", "# noisy_sino.fill(sino)\n", "\n", "# Show numerical and noisy sinograms\n", "show2D([phantom, sino, noisy_sino], \n", " title = ['Ground Truth','Sinogram','Noisy Sinogram'], \n", " num_cols=3, cmap = 'inferno')\n", "\n", "show2D(A.adjoint(noisy_sino), cmap=\"inferno\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "ef3dd600-45e4-4e9b-964a-41004af9db27", "metadata": {}, "outputs": [ { "data": { "image/png": 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hBt5qlnOs2XvEqyeW63IPLMfcjmP+frB/X5g9LgKBauPnvI2LH/J1ZV4z9rm0e5GY+zOfXiPijyV/A0NERO/HFhHxk3KuiIh/lHNn0g0MESkDLhx1ZxYR8YlyroiIf5RzZ9JbSERERERERESk5OkJDBFZ+lwAufzvJxcRkSJQzhUR8Y9yLlnyNzDM5jgAkDP61AQD3NilotJsYgakBrghUtYYYzzDTWgmknbjmo4WbkqWTXIzn0CQ51FfZTely+W4edHZ3mUUrxixmxuZnFXchCyQ5KZloWV2U5pg188pzrRfy/Pqftaea6yK4oYVxyi+sZ+P6f+3ixuwAUC6v4biSOsgL3ANN+4BgGCOj2PqZ9ysKdrOjZqy3XZTpejJF3mZWj4X2Zx9nDfXj1B8fKiJ4rDD89rSwU35AGA6wddNfTPv78gAN1Bas+y8NcbZ/laKD13gYxTz6Jk1bvSDigQ5CcYr+DsxfHalNYZXY63SoddL+UU516acq5xrUs6VYjEbVAJ2006TV9NLs7FnvsaYdsNOwGwmaTO/DF7Lz35d5282ao9hNpfMZezfOV5NOvPNy2zaae6P+XOvpo+5vN9jr3l5NT+duR2jAaXr1fA3X9NOe51815U9D68ml7y/rnkNzKMMIn9D0vy8mnbay3g0By0ZyrkzqYRERERERERERErekn8CQ0TkYndmPVonIuIP5VwREf8o586kGxgisvS5er2UiIhvlHNFRPyjnEuW/A2MYCBufTZpnF/X5XqsylquTwaAk2N1FFcEub5qMsPVNrmcXX1Tv4zrgDMpuw54ppqaMeuz7l6uta2Jcx3fyKt2TXPDTq7ZdWN8TCJn3uYVlnEdMQAgxJdCcIzrhINed/2MuujgsiGKN9z0KsXXXWi3hvj+9z5O8adu+SHF2ZY2a53gCM/N/D5PneR1Kjvtmman5xzFAaNGvSpi18pNpCIUm9fVcDpKcc9wozXGlk1cs55N8XEfm+Aa98b6YWuM2jjXekaMSzHtUQoZNUofkxnebijG++tVj551515zKOVHOVc5VzmXf66cKwvJ6iEAIF+vCbPfxcVxzH/8zN5nIeDYfYdyVs+D2XtEOE4Epnx9JbyZ3w/X+KnZ32PuvTe8+yqYX27HiPgYevcNMceYz/fa2K7Dv+tc12i646mQc2PmYfOYmb+HvY7zXHtvFNLNwKvHx+zM/SukB8b8zo0shiV/A0NEBAAcPVonIuIb5VwREf8o516mGxgisvS5qg0UEfGNcq6IiH+Uc4neQiIiIiIiIiIiJa8sn8AIG7dlkhmuFYtUTlvrxIx3tNdGuN7q5SGuA/vVdvveT9WqHorPH9lIcUU1v8d4bKjeGmMyyTW9yxq5xjuX9bjnFODPnHdPU+yuXM4/D9i1ZG7IqB037vIFjr1jbzfK280GuM4t9tkWipf/k/keZ2A4yTWWUz/hecTu8qjrm+Rx4qu4Zj3dV0Nx4pxdFx0L8HF1Kvn8ttaOWOucOLOK4pBxHDNGfXZNzH4P+fhQLcXBEB/njg6jtt61azZzQ3zcq8Ncs/fzYfs91jfV8XE230seq+feAFnXvs4SudlrQRe7dlCP1i0e5Vzl3JmUc5VzpXhcq++EzaufgbUM+Jo0xy1kDLvnwezXpHffAXOd2fs7XBxn9mvN7Hlh9qYoZB1vs/d88O55MfsYjmP0zfA4Ro5xTMyt2D0v5p4LvPtm5MsxnJMK66OR75qxz4Pd08TkdX6Nc2NdM/PJn8q5pUpPYIiIiIiIiIhIydMNDBEpA/9aG1isPyIiMgvlXBER/xQx5xbg4MGDWLduHTo7O7F37157Nq6LL37xi+js7MSWLVvw0ksv5V33T//0T7F+/Xps2bIFd955J0ZGRgAAp06dQjwex9atW7F161bcd999eeenGxgisuQ5rgsnly3aHxERuTLlXBER/xQz5+aTzWbxwAMP4KmnnsKxY8fw6KOP4tgxfiX5U089ha6uLnR1dWHfvn24//778667Y8cOvP7663j11Vdx3XXX4Stf+cql8dasWYOjR4/i6NGjePjhh/POccn3wHBdu7Y435ueJwfrrM8CDtc1jaX53s6aal4+FrZr1sbfbae4qn6U52VsI+tRW+0Yk0+luL6s8X12XXT6tUqKw8uMMaf4HfYYt+uiM6s3Uxw5xRdqdoDrxL0Et3KtMV59lcIdv37CWuflH32A4r4TKyi+5tUj9oZWNlEYWMZ1fEP/wmPUreQ6eQBwao1jn+brKJGy6/reneBj8LEVPO7AFJ8Hsw8AAExNxynO5XgeHavP8M89rpFYhK+9dI4vGq+7km1xPkaRAL8PPj3Oc/eqx8655nvXzfefm++Yl3KknKucq5yrnCv+8eoz4CBsLMN/nc+5dt8hs3+Byexd4NUjwu5NkK8ngMfvC6PHhdmrwLs3Q74x+OeF9bewRvX4LN84Rk+IAnpvFMKev3mczbnm7wlR2LnL1zfCmJXnueK52P08MsbP7X+KWssY3wHv3ir5tgvj517bnb3nx9Xi8OHD6OzsxOrVqwEA99xzDw4cOICNGy/3GTtw4AA+97nPwXEc3HbbbRgZGUFPTw9OnTp1xXU/8pGPXFr/tttuwz/8wz/Me44FPYHxX//rf8WmTZuwefNmfOYzn0EikcDQ0BB27NiBtWvXYseOHRgeHp73JERE3rMyepxZOVdESp5yroiIf4qUb/v7+7Ft27ZLf/bt20eb6e7uxooVl//DREdHB7q7uwtappB1AeBv//Zv8Wu/9muX4pMnT+LGG2/EBz/4Qfz0pz/Neyjy3sDo7u7Gf/tv/w1HjhzB66+/jmw2i8ceewx79+7F9u3b0dXVhe3bt3vWx4iI+KKMHmdWzhWRkqecKyLinyLm3ObmZhw5cuTSnz179hibsp/OcYzHVa+0TCHr/sVf/AVCoRA++9nPAgDa2tpw5swZvPzyy/gv/+W/4Dd/8zcxNjZmjTNTQU9gZDIZTE9PI5PJYGpqCu3t7Thw4AB2794NANi9ezeeeOKJQoYSEZE8lHNFRPyjnCsiclFHRwfOnj17KT537hza29sLWibfuvv378cPfvAD/P3f//2lGxvRaBSNjRdfv37zzTdjzZo1eOcdj1fJz5D3Bsby5cvxJ3/yJ1i5ciXa2tpQW1uLj3zkI+jt7UVbWxuAi3dO+vr6PNfft2/fpUdUREQWTJk8zqycKyJLgnIuAOVcEfGJT/n2lltuQVdXF06ePIlUKoXHHnsMu3btomV27dqFb33rW3BdF88//zxqa2vR1tY267oHDx7EV7/6VXz/+99HRUXFpbH6+/uRzV6c17vvvouurq5LPTSuJG8Tz+HhYRw4cAAnT55EXV0dfuM3fgN/93d/l3fnf2HPnj2XHk0xHyEpBsex78EEjM2EAnyyxkZqrHWa49x0bXqwiuL6CDdymUrZDdamx3idpg0nKe559TqKxye5iRcAxI1GdTW1/AiN01oBk9vDpzEzEKM4uJq344zaj+WEL5ziD1I8j8w4N0IDgMwkf1Y52M8LxLnJUuBjq6wxbsQ/U2w2mKv8l3XWOs2VXfxBiBv3ZLMcpyftuccjPLfkW7zMyJR9nN/fzPWv3eN8Hb1vFTfM6xnkxncAcLy3jeL17eesZWbKJOzmXZkM7184wI9rrYjz+b+IGy2Fg3w9j/Q1Uhx0llrjIhdObqnN2Zty7kXKucq5yrmlTDn3FxY655pNLi9uh79P2ZzZwNi+js3Gh6FgPcWZrJH7PBo45m8ca65jP05uN37k3ymFNML0buKYjzm3Qh5CN69xc3+MMRyvf1bxGPb+599fxzEa+Fr773WNeOWlmYN4NeDMf/7y47m41pizN/UEvJp2mvuXv2lpvpnnb0BbavzLuaFQCN/4xjfw0Y9+FNlsFvfeey82bdp06e0g9913H3bu3Iknn3wSnZ2dqKiowDe/+c1Z1wWA3/3d30UymcSOHTsAXGzk+fDDD+PZZ5/Fn//5nyMUCiEYDOLhhx9GQ0PD7HPMtxM/+tGPcO2116K5uRkA8MlPfhI/+9nP0Nraip6eHrS1taGnpwctLS3zP1IiIgJAOVdExE/KuSIibOfOndi5cyd9dt999136/47j4KGHHip4XQA4fvy45/J33XUX7rrrrjnNL+/tx5UrV+L555/H1NQUXNfFoUOHsGHDBuzatQv79+8HcLGe5Y477pjThkVEisZF2TzOrJwrIiVPOVdExD/FzLllIO8TGLfeeis+9alP4aabbkIoFMKNN96IPXv2YGJiAnfffTceeeQRrFy5Eo8//rgf8xUR8eAWOSnnTY0LRjlXREqfcq6IiH+KmXMXL98WS0F78OUvfxlf/vKX6bNoNIpDhw4tyKTmIuBZb8bM+qvphF0XVhHhejKz/ro6xPHAtF2vG6lIUDzy7nKKc1l+4CUayV/DF4oay4Ttukaz0isQN9Y5brx/t9Hef2fCqNEe5Npj1+VaSQCYGqyluDIwwOssX0FxpoE72AJAuPpNitdff4ziycE6a51cn3E+z3LdczjCdX1eY9RkeihODvG+BAN2bVxHLR+TwUmuv+8f4WNUFZu2xkhk+HpNG7F1jdRwnwAA6B3nuVYEea6rKu25p3JGjanDy0xMcM1+wLHHCJivUFpy9YNLh3Kucq5yrnKucq5/SjnnevU3yLn2dTpTIT0iMtnhWX8+v6utkLXMZebWu2D+Zt/u/Bhz9+hXMtcxvMxnXNdN5F/IF3M/o/PrcTJX5fEkwtVq6d+CEREB4Ljl0VBORGQpUM4VEfGPcu5luoEhIkufW+zHmUVE5IqUc0VE/KOcSwp5h5CIiIiIiIiIyKJa8k9gOI59DyZmvB541Kidbqoyao8BjCe5RnlNFdfSmvWpkxn70E2NVVmfzZTL5X/X88pVZyiO141TnH3brnsMNfAduUA7vx88c4LraEMhj7q4AB9Hd5r3t+/tVdYqNY1cP5lbcQ3FqWtu4O0OnrY3W82PQ1Wu7KW4avV5a53BVzt5O4koxefOc933ug1vW2Mkj/G5GhvgWuoNq09Y64yN1lA8PMU1zJVRPq6jxs8BoKmKz6dZF913ro3iaDRpjVER5trAiFGPvSxmrzNuXK8BoybRq0eBKeeadYwl9iibT+/Hvtop5yrnKucq5wJQzhU4DvcIsnsXOMjP/J3idV3NtY+CV+4vxvVajA4d5jFZqK4ffm3nvSrkGvFr7iV+zJRzL1nyNzBERC4+WqfELiLiC+VcERH/KOcSlZCIiIiIiIiISMnTExgiUhYcNTcSEfGNcq6IiH+Ucy9b8jcwcm7G+ixu1KeOJ7let7XWfgRn2KjHrjNqa4NG3exIiscEgP6BRooTaa4NrKmYonjldXbN7+RgHcXRLK8TvC5urTP+I64Trl45RHFoLe/v9M+brDFiqwYozg5xDfv0lL3dlZ98lWI3s5zH/NkPKE7dcJs1Bup5O7nbuIY7/Py/WKuMD9dRHAzyNTA4ybXW6SSfBwAYem0dT6O1n+KKFj6GAJB4g+vA6yu4Nr5/nM9DKGhfZw11IxSPjvE68Rhfd8e7O6wxzHHX19j9BUxZl+v6UlmuD60w6v7GPa7vgFPKtYF6tM4vyrnKucq5yrnKuf5xPP6q7sLMw8W4Vsy+Efn/sTS/nhfm3Hg7jmP3h3Fds89Mvv0rzj/0zGM/v+M+n3Mz13Phddzncw2Ucs6Zq3zXote+mYUJpXTDQDl3JpWQiIiIiIiIiEjJW/JPYIiIwIXuTIuI+EU5V0TEP8q5RE9giIjMwdmzZ/Erv/Ir2LBhAzZt2oSvf/3rAID/+B//I5YvX46tW7di69atePLJJxd5piIiS59yroiIzKQnMESkDPhXGxgKhfBXf/VXuOmmmzA+Po6bb74ZO3bsAAD84R/+If7kT/7El3mIiCwe5VwREf+oB8ZMS/4GRjZnNvYBAkbflkSWd9NsQAYArjt7s5dlNSMU58bqrWWeOXsNxbd3nOUxlp+nOJsKW2OEotwQKdY8zAvk7HkGgtxkxu3lJnROnNeJLjebLgHn/2kLxcEAf0k61tvN71Bfx9uNcBMyxzgRoZE+a4jccj5mwbFBirMDdmOza375JYoPH/gwxRHj/B78+fusMW5dxfsTq5ugONxkN2kLGI3cwiHejtnoLejYiSYW54ZxU9PcqK97sJninslqa4w19XyMOur4GhmarLTWMb8DOeN6d4xmRmNp+9qsCJbwA1suAJ+6M7e1taGtrQ0AUF1djQ0bNqC7u9uXbZcC5VzlXOVc5VzlXP/YjSO9l8ovX1PD9/6PI8fh69hu8mnPw3E457guf2fnNw+7kbDrmtdrAU1K8y5TyHE3lymkUeZcm3YWo2HnfMfJN26+Mf1qFLqUG5LC15y7FJTwb0cRkdJ26tQpvPzyy7j11lsBAN/4xjewZcsW3HvvvRgeHs6ztoiIzIVyroiI6AaGiCx5Dlw4uVzR/vT392Pbtm2X/uzbt8/a5sTEBO666y587WtfQ01NDe6//36cOHECR48eRVtbG/74j/94EY6EiMjCU84VEfFPMXNuOVjyJSQiIgCKWhvY3NyMI0eOXPHn6XQad911Fz772c/ik5/8JACgtbX10s+/8IUv4BOf+ETR5iMiUnKUc0VE/FMmNx+KYcnfwHDd/LWBjsN1T7mc/eBJVZjr9ILmOi6vEw+lPebCdV/Hjdraa1ad5m2E7Fom15hbIMrbcat5TACINvFjk8lzDRTHbuF9y3XbX4DpyQqKzTrhZdtft9ZBuobnOjbCP6+sotBJ2bXz2Rqea+gl4y8wW5o8tsv7Y9ZfvzK6jGKvr3siyTWXwQquucyO8/4DQGXtOMXTU7zM6GCM4ps6u6wxzHWmEvZ28pkw5n6tUY89nbJrP7PTfG2Gg7MnwQmPeux4Kddj+8h1XXz+85/Hhg0b8Ed/9EeXPu/p6blUp/29730PmzdvXqwpLijlXOVc5VzlXD9d7TnXu5+DmQ/n04vhvTPn5t3zIs88CvidMlde83CMf/K4CBpLePUXWIi+CcUYM19fjUK2s1A9IUql18R85qEeE0vFkr+BISLi5/uxn3vuOXz729/G9ddfj61btwIA/vIv/xKPPvoojh49CsdxsGrVKvz1X/+1L/MREfGdcq6IiH98zLlLgW5giEgZ8O/1Uh/4wAfguvad/Z07d/qyfRGRxaecKyLiH71GdSY9nygiIiIiIiIiJW/JP4GRy9l1buZdmYBRBxWN2OuYtdT1FZMUpzJ8qC5Mcq0xADTFuN44adRWu1mut0sn7brGSOU0xU7EqA0M2acsWDfF447y3NKv8v5O9zVaYzR3XOB1Ejy33KR9rysQ5+1icIxCd+VyipMrNlpjxF77Z/6gluvCEfC4xzbB2x1Pck1zfZTPQ03ErgPvH6+luO71Too7bj9qrZMxzpdZ57+qYYDiSNS+ztJGrbR5XfUY11UkaNfjVRjXbzLF9dmprH2NhAJ817YyatSfG/0GElm7njKQ7xXyi8kFkCuVusvyppyrnKucq5yrnOufwvpKLI5izM1F8XtgLOZ2Foe+i2VPOZcs+RsYIiIA9GidiIiflHNFRPyjnHuJSkhEREREREREpOTpCQwRKQNqbiQi4h/lXBER/yjnzqQbGCKy9Kk2UETEP8q5IiL+Uc4lZXkDw7w/lTaaZVVWTcKUcWevpjGbdI2nw9YylSFuELSiZpTiCz2tFDc2DVpj1G04RbETNfbG4+6bU2s0rstx56+x020UJya5ARsAtGw6QXG4nY9RdoCblgHAyD+1U1y9p5ri4PkzFIfG+6wxzIZxuTPc6Cz1679qreL+j8MUZ7I8xhqjsduyFnu7/3RsM8V1A9xkr23UPkYpo6FcwGjS1r78PMXZjP31mk7wcTw1Wk9xU4yb5VXH+HgAQNDYbv9YrbWMqclo/hcJzt7MKu3a3eNSWSVO8aacq5w7k3Kucq6IiMhCKcsbGCJyFXL1aJ2IiG+Uc0VE/KOce4luYIhIGXD1aJ2IiG+Uc0VE/KOcO5PeQiIiIiIiIiIiJa8sn8BIZTlOZIMUh8Jpa52mCq4/Hk/EKJ5Kcy1u0LHvglUa4zZVj1E8PFHF87xg13S3RV6n2DHP0MS4tY67YgXFmef5EaN33umk+JadP7HGSPZxXXB4G9cjB1Jc4wwAToCPQfBNnnt2A9c8B0fsMTDNdcKBtXUUx97m2msAePftayluquJjsv79L1P8zgs3WGM0x/l8h4J80Zx7caO1Tt8Q12yvWfMuxeFYiuLR/gZrjLRRx19h1EU3Vk7wz+PT1hhnB5opDhjXYs6jljponKu4Uedt1pbHg/ZjasPpEn50Tc2NFpVyrnLuTMq5yrkiIlJEyrmkLG9giMhVSIldRMQ/yrkiIv5Rzr1EJSQiIiIiIiIiUvL0BIaILHmuq+bMIiJ+Uc4VEfGPci5b+jcwHPshkokM16PWRbhONpfj+mwAqIpyfeo7E83WMjNNZuwxrgknKY4ZY0aMGu9szp57ZohrtiObee5eV69z8gzFgWA7xdVGTa/jUWsbiHAtufsu10471y2z1on3DvE6kzxu8KVX+efXXWONkVnLNduhM8cpHjvAdeGAXU9//cd+SvGZn3H99dqbX7PG6D70QZ6rcUzeOrfSWqfBqNmvbB6hODHC566immurAaDrLI/bVjPK8zDqonMe10gsxDXcKaPfQMbj+k5m+TvR1NZH8fhQLW/D4xoZchPWZyVFj9b5QzlXOVc5l2LlXPGb43CPINfNXmHJmcxlzN4t5vm0e7vYy5jM74JH/nS4L43rGjnXGgMw5+4Y/3xxwd9R77nn47Vv+Y6ROVev85BvjELMPoZ5PC4uYR6TYsx14fdlcRVyjBaRcu4leUtI3n77bWzduvXSn5qaGnzta1/D0NAQduzYgbVr12LHjh0YHh72Y74iImVNOVdExD/KuSIiS0veGxjr1q3D0aNHcfToUbz44ouoqKjAnXfeib1792L79u3o6urC9u3bsXfvXj/mKyJic3HxP/QU688iUs4VkZKnnCsi4p9i5twyMKcmnocOHcKaNWtwzTXX4MCBA9i9ezcAYPfu3XjiiScWYn4iIlct5VwREf8o54qIlL459cB47LHH8JnPfAYA0Nvbi7a2NgBAW1sb+vr6PNfZt28f9u3b9x6nOQuP+uThFNcILa8ZoTheY9fJVsaneIxklH8eMmvJbGGjhtWspa0ytjGd5PpsAEgMcF1sJMfH1T07Zq2Tm+Z6wvjyforXRLl+eeDVtdYY9avP8ZiTXF8ZHBy01glvX0Fx+hD/PD1WQXHsJt43AMhWc9176p/OUmzWCQNAy9rT/EGAz3dVzTiPcb7FGmNNaw/FvcMNPI+sXYMZj3C9fd9x3v+QUdM+ONBojdHewHXuFUat/MAQz8PJ2F9Rx+H9nUjxtRryqKXunuRa8XCca6vT6SaKowF7jKGAfQ2UlDK5qzyTcu7slHP558q5yrm+Us4F4EPO9RBwuFdNzuV+MV69ihyH80MuN2UsYZ5Qu97e7r1h9q/If1GY69hj8vf6X5eiKBCopDib4942nnO3+mbMp58A718gYB5T+3ed2fPD/G/Hrkevm2CA83DONfoqOZyDvLZrHrNwiHNdOsO/tzznavy+z99XA3Ac/sw638Y65rkEvM6nY0Re2+VjEg7xMUymeymuiPLvEwDIubx/idQ5a5lFVYY5d74KfgIjlUrh+9//Pn7jN35jThvYs2cPjhw5giNHjsx5ciIiBXOL+KcEKOeKSElTzgWgnCsiPimjfPteFXwD46mnnsJNN92E1tZWAEBrayt6ei7+F5Wenh60tNj/xUVEROZHOVdExD/KuSIiS0PBNzAeffTRS4/VAcCuXbuwf/9+AMD+/ftxxx13FH92IiKFcAE35xTtTylQzhWRkqWcKyLinyLm3HJQ0A2MqakpPP300/jkJz956bMHH3wQTz/9NNauXYunn34aDz744IJNUkQkrzLpiA8o54rIEqCcKyLinzLJt8VQUBPPiooKDBoNxRobG3Ho0KErrLG4JjNZihtquBlMqMKrYQ6f0azLd6imjAZj4YBdRJQ17mpljYZyGaM5mNnEDgAitdyIaeyZZRTHmkasdcJtvH/O8hpe4J85HBsxfg6g1ti/UMxo1FPBDckAwOnm5m+R1Ubzm8PcQCc4ZDfACozwdXWhmx/RrGu315ke5HFjq2dvdBaM2A2hKir52A92czOfzhZu9gMA2Syfz7fPrqQ4EuLrbvVyu/mP2QwvOVJN8cQkNzPyajpoXqsZl+eVSNlf6ylj7sEwn6vaer6GYkHeFwBIwKtJlCwE5VzlXOVc5VzlXP+Uds61/4tpzuUGty6M68e1rydbIcsYw1pNO60lChiF98e15uo1BufLbM5urkxbMBqDem/HjOf+X6ZzuXHjE3sMuymp+d+O7XXyNbE0x/RqamleE+nMkLWMtU7e82uyryHXo9E3/dxYJ9+5/MVaHNlNvl2jAWcybTS2NY7hVPIsbHP/TsjimNNbSERESlaZPBYnIrIkKOeKiPhHOfcS3cAQkaXvX2sDRUTEB8q5IiL+Uc4lBTfxFBERERERERFZLGX5BMZobvYaLsej1tSsnU5k+S6Xk+P6smUxrj/0ks3y4c0YNc+t9SP2SsbdteQU1+MOv95prdJxB9fCBU++Q3FsBdfo1V1osMaY6uXPYp35a+UwydvNDnLNYc2Hhyl237XreRPvNvHcVvbwAq59j62qg2u0p95upbjp/W9R3P2TrdYYIyN1FJv11zmPu5yhENfXTaSjFE9OhSlee80pa4zYBj6uU8/WU1wRn6Z4aNyunXccrgUMGPF4mucBALVG/XVqMk5xtVH3Hjxq16BmkP+aXzyOHq1bRMq5yrkzKecq58rCCgb4espm+Xrz6hHgOPz9yd8Twu6rkL9HgHlN5O+J4RjrBAK11jI5l7+nrjGs44SNn9t9ePJ3Lyykf0c+Xv9dON8xy9/zw5672ROikLm/954ftkL+O3i+HifFyiP5xinG+V1MyrkzleUNDBG5CrlK7CIivlHOFRHxj3LuJSohEREREREREZGSpycwRGTpU3MjERH/KOeKiPhHOZcs+RsY1ruvPUQiXJ8djNv12nV1/M7ljPGYzmSaH1ZZX5uwt2PUeZvvsM8YNd2BoF2PN3GhkeKpsSqKzXfaA0DgZ/zu8vSH/w3FwXM/o7h6BdfeAsC5V6+juG74JG+Dp3WRMf1ckmsQg1GuJXfi5juZgWyCazLT0xxHKrnuEQCCNVMc13HsGufKrKMGgKlk1PpsptbGAeuzt85eQ3FNhK+BgFFfl0nZddHmMQsZdf2xuH1dmYKB2es4+5P2dq8xjmM2zV99J8RjBh17G6nclPVZScnpgTI/KOcq5yrnMuVc8Vs2Z3xPHeOv82aTCACusY7ZN8Lsu2D3yPBi/oOKr4mAE4Mp585+XWdzY9ZnAadi1s26btL4sd2/I3+fCK9/HJr9byopzrl2js3H7tfhdZxnP/aOdVzt/GGPa/SZ8jxGZu6evaeJfQ0Brjt7TnWMf3p69WvJzz5X5v7Y55uPh9l75eKH3FfKdWfv7+U75dxLdCREREREREREpOQt+ScwRETgqjuziIhvlHNFRPyjnEt0A0NEyoKr7swiIr5RzhUR8Y9y7mVL/waGa9dOBY3KGPOEm3XDABAK8zujp41a6pEUj1ERtt8xHTbqfhNprqUy3yU/MlRnjRGv4BrFho5e/nmnXSc8+Pxaiuu3cb11YCXXygXH7JquxjZeJzPGdX6RoXFrHTRyTaLbzfVn2de4jjFwS4c1RFX2LMUnD9xCcUWVXStZ+ctcO59+nc+VY9S5x2snrDFaE3wcz1xoo7h/yC5AH09xDXdjnOe2qeMMxaNjNdYYrnEYc0ZdtHkdRjxqyU1Z445s1iPBVYZ43KplRg3/OJ/LsEfNd9qsuZWrk3Kucq5yLsfKubKg7N4NVr2/0QPCexRjHLNvhNHPwKtHgEdnDSPmPgOF9IiweyDYvRnsvhmz97Pw7qtgjmv2iMjXI8Nrf8xjlL9vSL4eEYWY3xiuERXS4yTPcXbt38v5R5xPzwt7FPuTuZ1Pz3nkvwSkRCz9GxgiIoCaG4mI+Ek5V0TEP8q5l+gGhogsea5eLyUi4hvlXBER/yjnMt3KEREREREREZGSpxsYIlIG/rU7c7H+iIjILJRzRUT842++PXjwINatW4fOzk7s3bvX+rnruvjiF7+Izs5ObNmyBS+99FLedf/0T/8U69evx5YtW3DnnXdiZGTk0s++8pWvoLOzE+vWrcMPf/jDvPNb8iUkXk1ogkZTnbHxaopb0vZuRyq5IU7caEqWdbn5T8ajDqkiwg2RhqeqeF4Oj9k3Um+NsTJuzKN1iLfbx42/ACBez43b3Od4ndz7r6E4cJwbnwFA/QdOUnzqezdTvOqaI9Y6GOWmSqnh5RTHwtwgxxnst8doqqOwZbXRYO719fYq775DcbCKj2vyAjeDi9TYDeWCg7xds9nfO4PN1jptlTxOfQXHFVXc3CkYtJuyJc7x3JwAb7eiaYTi0Bn7+p5McoPAyQw33op6NIOLGo3poh3cUG7iyHUUV0XshmABR/c7RTkXUM5VzlXOFT/Z/+AopDmmNYrD17HZCNJ17WbDi8P+DjrGP1fm1wgyX9NKr3/YmV0d53OzLd86hXSONMcoRrdJrzHyNTo1FdII1LQQ+zIfdrNYwMzlV2dXz2w2iwceeABPP/00Ojo6cMstt2DXrl3YuHHjpWWeeuopdHV1oaurCy+88ALuv/9+vPDCC7Ouu2PHDnzlK19BKBTCn/3Zn+ErX/kKvvrVr+LYsWN47LHH8MYbb+D8+fP48Ic/jHfeeQfBoNc5uki/HUWkLLiuU7Q/IiIyO+VcERH/+JVvDx8+jM7OTqxevRqRSAT33HMPDhw4QMscOHAAn/vc5+A4Dm677TaMjIygp6dn1nU/8pGPIBS6eDPytttuw7lz5y6Ndc899yAajeLaa69FZ2cnDh8+POscdQNDRJY+Fxe7Mxfrj4iIXJlyroiIf4qYc/v7+7Ft27ZLf/bt20eb6u7uxooVKy7FHR0d6O7uLmiZQtYFgL/927/Fr/3arxW8PdOSLyERERERERERkdk1NzfjyBGPMtV/5bp26YzjOAUtU8i6f/EXf4FQKITPfvazBW/PVAY3MOydrg1xfWrKqFcNVXDdH2C/mqYuwvV1A0muwxlLRq0xVkW5htWd5DrwwelKiuPhtDVGXcug9dlMmamY9Zm5P4FqHtfpOsErdNg1Rbk+3v9lG9+leOIo11oDQHw511eHq4165JppXmHUo5YsyjWXsVZep3Wox1ol1cd17KlxrlGvXHmB4vQI18UDwNQkr9MzXkOx138PMmu225fz3BLTfG5qm7guHgCGTrdTHK/imvZAmL+S1ZV2nWvfBM/VrNiLBfPX7LlZ3sOEcTyyrn0Ego59zZcSvV7KL8q5yrnKuTMp58rCKk4dvtnzYimZX8+LuW+lOMsUY52FGKMQ8+lpMVcLtS9zHdePfS0uv3JuR0cHzp693B/r3LlzaG9vL2iZVCo167r79+/HD37wAxw6dOjSTYpCtmfSc3siUgaKV4utemwRkXyUc0VE/ONfvr3lllvQ1dWFkydPIpVK4bHHHsOuXbtomV27duFb3/oWXNfF888/j9raWrS1tc267sGDB/HVr34V3//+91FRUUFjPfbYY0gmkzh58iS6urrwvve9b9Y5lsETGCIiIiIiIiLyXoRCIXzjG9/ARz/6UWSzWdx7773YtGkTHn74YQDAfffdh507d+LJJ59EZ2cnKioq8M1vfnPWdQHgd3/3d5FMJrFjxw4AFxt5Pvzww9i0aRPuvvtubNy4EaFQCA899NCsbyABdANDRMrBL5obiYjIwlPOFRHxj885d+fOndi5cyd9dt999136/47j4KGHHip4XQA4fvz4Fbf3pS99CV/60pcKnl9Z3sBoiPIJTmV4N7NJrs8GgPRknOLmKNcKDiR4nals/kNn1myfmuC64B1ruqx1nBDXZDlhrvub7q+z1onWcM1uxKi3dk9xXXD6FNfeAkDkZj5mEYxQfPKljTCtqR/nddp4ncTpFopjK7h+GwCcHFcTB6q4pr1h40lrnenuZopT03ycqwJcBxeqMurCAbzevZLnYTxR1VoxYa1Tb3yWTPB2gyE+V7FaPj4AEK8fo3jgFNe5R4x6+8pqex4DxvlriPAx80pv1iNjRhF3Js3X82CCvw8AEA3Yde2lRPXYi0c5Vzl3JuVc5VwRESku5dzLdPtcREREREREREpeWT6BISJXFxce/8VTREQWhHKuiIh/lHOZbmCIyNLnOqrHFhHxi3KuiIh/lHNJWd7AqDT2asKoizZrrwEgl+Ua5spwmuK6CNdJN0Tt92n3DDdSPJaa/R3uEWMbAOBmeB5Zoz43FEtZ60wO1FFckevlBbaspjD35Kg9mWGjZnugluKV60/Y6xhSPXWz/typtj9Ln62k2DXqgiMr7LlWtZynOHeYa6unjHrtkR6OAaAyzMcxatRS18W5xh0Askbi6Otvovi6LW9S7GY9Oui6XAhd1zJI8YXTXJ8dr7BryUfS3Bvg2jo+d3GP62rYrK826uiiMa7pnkzbPQtiTmnXY8viUc5Vzp1JOVc5VxZWwOHvcc41vz/2f6kNGD1Vcjm7Z8xcOXn+GeHCtT5zHL7WXdfM7V7/ldkch7/rjrGO13bNRjT2POxcbzPnNvu8vGWN2Gsdc5nZOU7M+sw+rvMx+/56nX8XmVmXsc+N0SDIYzv55+Ul3xj2cQ8EuN9RMb4jsjDK8gaGiFx91NxIRMQ/yrkiIv5Rzr1MNzBEpCyoNlBExD/KuSIi/lHOvUzFNCIiIiIiIiJS8vQEhogsfWpuJCLiH+VcERH/KOeSMriBYT9Okzb6waRyvJtOwG7sMj3BjVvMZnCra8YorotNWWO8YzSUG0lxg6DVVRMU5zwuxHQyQnE0w8s4jkdTGrMmKsmNe3JV3BwutuGkNUT/j6+juKqVG51V3mw0qQOQeLOO4vGzLRQHwtyEKI5+a4xgtdEwzTgkmT4+LwAQqOb9q/mlsxS/+/gtFL925hprjLYablRXGeN5JFN8HgAgGOALKxblJmw5oxleKG43UDKbzIWrufGW2bRueLjOGiNsXAMBI26ttpvwjZlNFYc8uvvNEAnaDaTC7uwNEhebX7WBZ8+exec+9zlcuHABgUAAe/bswe///u9jaGgIn/70p3Hq1CmsWrUK3/nOd1BfX+/LnPylnKucq5w7k3Luwrrac+66yjusz761ja/1fzx9LcXP9tmNEf94E+eY336T46H0KYodjyaH0+k+ioMBbh4ZDhpNgl17HgljjPyNMe1l8jVbdBw7nziOuc6U8XN7HStButyg0jWabZrNRL2WKawB5ezLmOfGu2Gnef4KmcfcGl+aDTu9xrWbdhajianXPGffX7uZqL0NN2c3cS4l6oFxWUG3ckZGRvCpT30K69evx4YNG/Av//IvGBoawo4dO7B27Vrs2LEDw8PDCz1XEZFFFwqF8Fd/9Vd488038fzzz+Ohhx7CsWPHsHfvXmzfvh1dXV3Yvn079u7dO+9tKOeKiFyknCsiIjMVdAPj93//9/Gxj30Mb731Fl555RVs2LChqL84RETeCxcXmxsV689s2tracNNNNwEAqqursWHDBnR3d+PAgQPYvXs3AGD37t144okn5r0/yrkiUsqUc0VE/FPMnFsO8t7AGBsbw7PPPovPf/7zAIBIJIK6urqi/uIQEXlP3IuP1hXrT39/P7Zt23bpz759+zw3e+rUKbz88su49dZb0dvbi7a2NgAX/8Ld12c+JlsY5VwRKXnKuSIi/ilizi0HeXtgvPvuu2hubsb//X//33jllVdw88034+tf/3rBvzj27dt3xV9ExeBVozee5jge4g/MulkAmByvojjocN1eSxXXY0+l7NpU826QGcfDPI+JKbvWuCHLa5lznR6262irV/Cxz53h7QTjp/nna9daY0w9wftfvZxrp93ly611wt283ZEhrj01683r+ngeABBcZpystFFrXGnXvafPc41lYBVfA939zdY6plg4RXFDAz8aOjjItfUAMJmIWZ/NlDPOXaRuwlpm/MwyiqubRiiOx7iOsXuwyRqjw6jrj4S4BnE6bddxxsO8TGaK9yUxbdSxBuy61Qq3yvqsXDU3N+PIkSOzLjMxMYG77roLX/va11BTU1O0bSvnXqScq5yrnKucO9PVmnPfnvyB9dltz3K/H9f9EcVevRgOHeEcmnPN77qZQe1r0nF4u+nMuBHbfXeKg/NULmd/12lpN+3xIe9PwOHvoH08vJjHyDUir54Q+djHOV8vCq/+DSbzGrBH9Ppv2OZczLXMnxfSv8Jr/+byc5vZzwLwOvZmv478xwyOMa47n/Mpfsj7BEYmk8FLL72E+++/Hy+//DIqKyvn9Bjdnj17cOTIkby/mERE5s+B6waK9iefdDqNu+66C5/97GfxyU9+EgDQ2tqKnp4eAEBPTw9aWlpmG+KKlHNFpPQp5/6Ccq6ILLzi5dxykHcvOjo60NHRgVtvvRUA8KlPfQovvfRS0X5xiIgsJa7r4vOf/zw2bNiAP/qjP7r0+a5du7B//34AwP79+3HHHXbn+EIo54qIXKacKyIiM+W9gbFs2TKsWLECb7/9NgDg0KFD2LhxY9F+cYiIFEXOKd6fWTz33HP49re/jR//+MfYunUrtm7diieffBIPPvggnn76aaxduxZPP/00HnzwwXnthnKuiCwJyrkiIv7xId8uFXl7YADAf//v/x2f/exnkUqlsHr1anzzm99ELpfD3XffjUceeQQrV67E448/vtBz9eQ4dl20+c7higi/Oz41adfVhkLG+4KN8zs2Hae4qYrr/gAgPM41mWZVV8p4H31F3H7f8NQY17xWGvW6TtCuFQtGubY40MTLuGeGOH590hrjmo/zMcoOck1v+id27ZgT5sunZUUPxedPdVCcGrRrVsNprjkMbTLuqU3YNYnhrVyDOfBd/q8iTbUjs8YAMDnNtfBZ49xEjWsGAE4OcJ33DatPUJya4mskO21fm9UrL1CcGefacsfha3dFk11Perqf9zdndBTO5uz7komM8f5rY3/TaT6mQceuloy4YeuzUuJXZ+UPfOADcF3v+tRDhw4VZRvKucq5yrnKucq5F131Odejn4WN84Xr2ZvA7AthHlMz59hjuG4q7zKzj2n3L5hf34jZe0R4/twJGEvw8TD7e1xcyMjteY6R17kyfz/av6m8/ltyvnNRwLmyjqs5t7n33sj/87mv43Xc7evMHLGAfhZ5emt4bdf8zHUT1jKLqVzeIFIMBd3A2Lp1q2dtX7F+cYiIyGXKuSIi/lHOFRFZOgq6gSEiUtL+9fVSIiLiA+VcERH/KOcS3cAQkSXP/dfuzCIisvCUc0VE/KOcy3QkRERERERERKTkLfknMBzH3gWziU4wwI1cshl7nVCYm/mkjKZcI0luFlYdsxu71Ef5s9ooNyUbTnAju1SKm7Z5zXVqsNZaxhRez3PPnuImNEOvr+Z5rT5vjeFsvIbn8XYX/zxiN1lK9jRQ3He2jeKm5gGKpwbqrTFq6yb4g4xxrjbdYG/373n+EyPcqK55WR/F8Tq7+V/Pcd7fkZE6ihMe56Yuxg0Ah4Z4f1pbebvBCvsaySX53CRGuIFgwGgYWFFpN9S7NsBN6U73tVI8nOBrFQDC5nU1xNdV1LhWMx5N6YLzat7kHz1a5w/lXOVc5VzlXEA51y+eDQvdfI0vvZoc5mu4ma9RZKHbmamQppbFkG/f8jeG9Jqr3YDSXMZsnlrIGKZCztXsDSm9x8j3/SzGeZjPdWY0RvU8L+bczbl6zT3fOsZPXXvurmvn/1KinHvZkr+BISICV92ZRUR8o5wrIuIf5VyiEhIRERERERERKXl6AkNEyoLuTIuI+Ec5V0TEP8q5ly35GxiOYz9EEjLOr1lbG/Gokx0b5ZrerFGPemaaa6k3tZ+1xjBrqV/p5frkW1ecpvjkQLM1RksV1w43tXGNb7TGqF8GgHGupUWAa34nx7nmt3m1XZ+cqVrPQ9RwTa8zadeFTfQ0Udw/wvXJdU1DvI2kXeMciHPtW27FOoqDXcesdcYvdFKcTvP+1nWe45+P8v4DQKNxXE8fv5biqWTUnqtxfjM5rvPLGHX+46f5/ANAw/uPU9z/ziqKozE+l/H6MWuM1CSfm66e5RT3edRjb2rk2vgxo4a9qpqvq0jArg0Mwzx/86mXXTiqDfSHci6Uc0sk55rzUM71l3KuX4rTMyJ/D4iFuJ685m5ux7yOvB4ON3tAmOPmG7MQhRznfMsUq79HMc5F8XuNOMY/G1149WJZnLk7Rn70nttMi5s/50M59zKVkIiIiIiIiIhIyVvyT2CIiOj92CIi/lHOFRHxj3Iu0w0MEVn63GI/Wlfary8UEVlUyrkiIv4pas5d+vm2DG5g2HejzEq5nFELFzJqXgFgYqpi1jFSRn12NmsfuppKrmltq5ikOBLm+sNI0K6/Sho1vWfevYbirZ85ZK2THeZ1Bl9ZS/GKf/OKsYJ94YbOcJ2w28v117kJuz65ommE43N8XIf7GymOxe06+ECLcf5Ov0vh1OE6a52qlkHebsMoxekxPpdBj/r73GAtxW3tFyjue/s6a50mo1b+nYFWild0dFMcq7Pr3idf5xrtmqZhip0QXxMVK3utMdxTyyhOZbnu70KCrwcA6DT6c5iNgIKRNI+Zs9/jHTa+a47xvVr66VAKo5yrnKucO5Nyrsh7ka+fhRfzH3LmGMX5dgScSopzrvE7JmTkhoydPwIO50fX5bzt1avBcbgHlNnfIefy74t1lbusMd6ePEBxdYx/T00kuUcUAFREVlC8OngTxSeyP6d4Osn9jwDgmqrt1mcznZs+wtsMN1nLuMbfCLIu58vp1HlrnUiIx8nmpnlMl8fMufbfS1zX/t0lpakMbmCIiBS7O7P+aSAiMhvlXBER/xQv5y79fKsbGCJSFvR6KRER/yjnioj4Rzn3MnUDEREREREREZGSt+SfwHCc/PdgskYtNcwY9l2tMaMuOma8j97rnfXRCNdTLa8bojhhrFMdtWuthqa53q4qxjVcuWl77tkJfgd9IMT1dMF6rh2zis0BuOd4rk497//Eq1xHDACxxhGKV1x7huKjr2+ieE27XSuHaZ5rdoDr/KaMumkAqLuOtxOs4uOeHqym2PGoe8+meP+SCT43N6x7x1rn9S6uH0wYddA957kW0jwPABCOck1+3a/wMRl7tp3HiBvnDkC8lc9V0qN22tQ3xdfVBqMnQSDIF4XjeNTsF/BdWzSuo/dj+0Q5VzlXOVc5Vzl3cTlOhOKAwzkpm+P+QP/66axjOODvaK6gfgDGmMY/K9wC+lk4Dm/XdVP2Msa4gQB/v7I57stTGPN7bM/V7HlhSmX6KQ4F66xlMtlh67PZ5wHA5VyWg92vYaa3J7+fZxvAeKIr73Ynkycofg3cI8nq5+HRv+PUxD8an5h5jHPfWHYQNseIeK5e202mzb4Y+c9vvu3aFrH0QjmXLPkbGCIiLvRonYiIX5RzRUT8o5zLSvj2voiIiIiIiIjIRXoCQ0TKguvqfqyIiF+Uc0VE/KOce5mOhIiIiIiIiIiUvCX/BEbAaP4D5L8rE4zZzXAyRlOukRQfmqjRUC6Ztrcbi3PDo+HxGoqrK7gZUH3YbhY2neamShMJbsw0/uZKax2zYZrZcA1Bo2aqtdEaw32bm5RlernBWiBsN8wZO9dKcfVybmbUfn6A4skpbv4DANkB3k5qiJvB1a8/ba2TM85NZoTHjSwfozh5us4eI8tXiXnuvJrB1cX5/L09Uk/xu0PNFK/eaDeli9aNU+wO8zUQX8bNjJxG+zpLHefrqj7KTQeDTpW1zgmj6eD7k3yd1UZ4HpUh+9p0EKPYLbH3SOdUG+gL5VzlXOVc5VxAOdcvZrNNwG50mfVofJlvHHMMF/nHsOVvrpiPV9NOaxlj3Pk17TQV0tRxbmPkb9hZ2Dzyf9OL8d0rZP95Jvmaml5k/o3A3E4hc3eNaO7X1fzOb2nlWJNy7mVL/gaGiIi6M4uI+Eg5V0TEP8q5RCUkIiIiIiIiIlLy9ASGiCx5er2UiIh/lHNFRPyjnMuuihsYVVGutU1N2HXBo9Ncr5oxHtNpjhp1bkb9NgCkU1xf2FQ3QvHEJG83nbEP/zUtF4x1Kik+8tJWa53bP/E0xYG4UU+YNWq6+rnmFwAyI1wHnZ3i2ttIzYS1zvnj11Bs1mO3tPdS/OZb11ljDL25iuKmW9/mBTyeEXIHjJpLo7Y6N81xqM6u2ZsY55rllmu6KXYCdh1cTRUfg5Sx3USW53XyzbXWGFs++WPeznKurQ6HuJYcXL4NAMgatdTJLF9HdWG77i9rJL0Ro1dAY7aP4rhHPXY0kK+ucXEpsZcO5VzlXJNyrnKuzJf9pXQcoz+Km7CWMbmueY3lO39e/QB4nYAxj5w7lXce+foMOB7/NHGtaz9frwKvfcuz3QJ6jRS2nYVgzt28JnKwmXMzx7Dn7hg9ruz955xrLn9xHfNanP0YFXa+WcCx/05hylnzMMe0/05RajnWpJx7mUpIRERERERERKTkXRVPYIhI+dOdaRER/yjnioj4Rzn3Mt3AEJGlz3WQc/VAmYiIL5RzRUT8o5xLlvwNjJxV0wcEjfMbC3MN1+QI16ICQDjI9WO1EX7n8FCKD1XUo151OhGlOBDgMaMRnsd0ipcHgFica7bMutkVTVw3CwCpIV6mosWoP47yAZl+tckaI9LC766ObEzyPA61W+uMT3Gt+Hh3M8XD/Y0UN1QbtcYA4rVc45wZ4DGDtdPWOoE4zy3VX8c/j+V/p3hlFR+jYJjPd2KM67UBIGPUW4eNmu2Icb4r4vbcc5NcYxlM8L6Y5YYeJZmINY1Q3J/gXgLL4nYtbNc4H9e0sS/paaP+PmTXAYYDuvMryrmAcq5yrnKu+KeQ/hYBh6+3nGv3ofEY2YjNngBefRV4HbvPQL4xgXx9BlxkPD41xylGrwKjt0/efhde8vXiWCjm/s+954fXz/MfA74mXDd5heUKn4f3+Tbx/hV2fefLn17XUL6+IVIqlvwNDBERF9D7sUVEfKKcKyLiH+VcphsYIlIWVBsoIuIf5VwREf8o516mYhoRERERERERKXlL/gmMbM6uDYwbpXLxGC8zOcG1ggBQEeE6rrE0DxI0bnqZtbkAEApyPZXjcO2UWZ9t1sQCQF8/10pXxLimd/UvHbXWGX13OcWVtfxe5vQ7Rp14xK5xc5PGu5yNuSYn7XcupzJ8+Zw8uYriSJDr2ppb+q0xqm48zx+E+ECP/PQaa51o3Thvp3mUYseY+8TxDmuMWDXXzwXCfO5CEbvefnCsluKaMC/zy9e/aq1jOv/zTRSvWH+CYqfSODeuXX+XGuVa8coQH+fJjP21zhrDJDN8vhNGPXZDJR9jAHDQZn1WSnRn2h/Kucq5yrnKuYBy7mJyjL++z6/nRTGWz9eLohi9KuxxzP23+yh4zd28Xos1t9m2Adj/rbiQ7c6150ch+1vIOvmY63htgz9zHM59rmvui1evlfkcM1Mhc11alHMvK+gGxqpVq1BdXY1gMIhQKIQjR45gaGgIn/70p3Hq1CmsWrUK3/nOd1BfX7/Q8xURsblArowSu3KuiJQ05VwREf+UWc59rwouIfnJT36Co0eP4siRIwCAvXv3Yvv27ejq6sL27duxd+/eBZukiMjVRjlXRMQ/yrkiIkvDvHtgHDhwALt37wYA7N69G0888USx5iQiMicuHLhu8f6UIuVcESkVyrkiIv4pZs4tBwXdwHAcBx/5yEdw8803Y9++fQCA3t5etLVdrM9sa2tDX1+f57r79u3Dtm3bsG3btiJNWUTEVk5/mVbOFZFSp5x7kXKuiPihXPJtMRTUA+O5555De3s7+vr6sGPHDqxfv77gDezZswd79uwBcPEXRNG5dvOXgLGZtNFgKx7j5nEA0GM0C6sM8bixoFeTGZbN8f0gs5Hd6V5uyOV1EQUcXufaLW9THLrGbqBXOTVIceoYN38zG5CN9DRbY7Td/CbPrYcbm4WidhO6oNG4bWSKtxs3Gq51tvI8PbW2UOgE7CZDrtGILzvG2w23cYO5SL3dHG3wBDeZC4a4QdDwBW7sBwDnxuoo/sDatyiuXXGB4lCN3VSr95XrKJ58huceW8bnN9hpf0Un+rkGN2A0KlpbN2Stk8nx/pw2rvfVy89RnDIazgFAdbg8kt5SoJyrnKucq5yrnOufks65HuymlcWwEE0tF8b89n8+TSuLsY35HNdinIvF2l9jCdf+XZbfQlyLfhwP8UtBT2C0t7cDAFpaWnDnnXfi8OHDaG1tRU9PDwCgp6cHLS0tsw0hIrKgcq5TtD+LTTlXREqdcq6IiH/KJd8WQ94bGJOTkxgfH7/0///xH/8Rmzdvxq5du7B//34AwP79+3HHHXcs7ExFRGZRLo8zK+eKyFKgnCsi4p9yyLfFkreEpLe3F3feeScAIJPJ4Dd/8zfxsY99DLfccgvuvvtuPPLII1i5ciUef/zxBZ+siEi5U84VEfGPcq6IyNKS9wbG6tWr8corr1ifNzY24tChQwsyqbnIuXZ9cn2E64T7jTraTa3vWOukjVrqCqP+Oh7iervTxpgAkAPf1Vrf8K61TD7LO7opnujj2tt42m4iFfkE19qe+ItGis27bfGKaXvDzuy1YZXL7Frq4IlrKf75AM/j05tf4+U96uAR40sw91o/xTVb7Tq45Cnev/REnOLACG8n2mHXJzdk+HwPnuT67FMX2q11aiI8btPKHoqDcf55IG7X/cWrpiieGqq1lpkp+tEO67Ox0QjF5nU3muTjAQBVRm28eb2bJpIx67OGSOnWD7qud3+DpUg59yLlXOVc5VzlXD+Ues4FgtYnjsM9U1yPvGyvY19js4/hdX7zXZPmXL16Gc3nus53rfGYjsc/b/L3zbCPs92LYfb9czzGcPPur1e/h7l+t7y2wXOxrxn794M5/2CQ82Umm7+vkuNwvrR7YHgdZxMf10CA+0q5Oft3qnmc5/cdyTf3xVNOObcY5v0aVRGR0lG8WuxyqQ8UEVk4yrkiIv7xN98ePHgQ69atQ2dnJ/bu3Wv93HVdfPGLX0RnZye2bNmCl156Ke+6jz/+ODZt2oRAIIAjR45c+vzUqVOIx+PYunUrtm7divvuuy/v/Ap6C4mIiIiIiIiIlK9sNosHHngATz/9NDo6OnDLLbdg165d2Lhx46VlnnrqKXR1daGrqwsvvPAC7r//frzwwguzrrt582Z897vfxe/8zu9Y21yzZg2OHj1a8Bx1A0NEyoIerRMR8Y9yroiIf/zKuYcPH0ZnZydWr14NALjnnntw4MABuoFx4MABfO5zn4PjOLjtttswMjKCnp4enDp16orrbtiwoWhzLIMbGHbt2IqK/HVOpjdHqymOh7j+qiXG9azX1Ns1vm0tXCt97jzX9HaP11Cc9KiJXT1RSXHTNed5gWq7hjHTxDW7y1ZzvfnQuVaK3zy1yhqj/dbXKZ4+za8LO/X6ddY6TcYxuG26guJAgOvRsomoNUbmBNeoBRu4XtnxKHKKfIJr1M/+FdfotUb5XMHjOJtzOWOcK68k0V47THH1R3muube5Ji9Qadd+VrVzvfkzT/0qxdtu4Br2ytN274CxydsoXlXH5yEUsL8Tw/3LKJ7M8FffzfH+Tqf5vADA8oqFeO+8LD3Kucq5yrkzKefKwvLokTCPf8gU0gPAWGPO2/Du5zA7r34V9kzM74LZ34Fj1y2kr4S5f4XM3VyGx8zfZ6NQ5tzm8w9Xnqv3MTG3yvO3e17kO4ZefSPMdfLPw+xFkcuN5xnTYy55vyMevWVg9M1A6fTAKKb+/n5s27btUrxnzx7s2bPnUtzd3Y0VK1Zcijs6OvDCCy/QGF7LdHd3F7Sul5MnT+LGG29ETU0N/tN/+k/45V/+5VmXL4MbGCIi+q+BIiJ+Us4VEfFPsXJuc3Mz9aCwt2PfmHIcp6BlClnX1NbWhjNnzqCxsREvvvgifv3Xfx1vvPEGampqrriObmCIyJLnAmoEJyLiE+VcERH/+JlzOzo6cPbs2UvxuXPn0N7eXtAyqVQq77qmaDSKaPTiU5o333wz1qxZg3feeYeeEjHpLSQiIiIiIiIiV7lbbrkFXV1dOHnyJFKpFB577DHs2rWLltm1axe+9a1vwXVdPP/886itrUVbW1tB65r6+/uRzV4sLXr33XfR1dV1qYfGlZTlExh9Ca6dWtfI9bnRKvv9wbEg185Wh7hGq8eoNZ7M2PWqsTDXSo0n+N3wG5ovUHxhrM4ew6glD9dO8gI5+9Gc8LkuiiMf4Jrf7CGea+NQgzXGU4/+OsW3buK64KoqYx4AKqonKG4aG6N4apr3P5uyj9l0L88lbvw8eFs9TIGecxSv/JUTFI+8di3FzpD9CNKbx9ZTbN7V7Gji2noAaGrv5Q+yXCsYqDbqDTtXwBQc5WsgmeWvYM9ZvktZ85pRjw+gtZnP79meNv5544C1Ts0oH8eeaa5HN6+7oYR5JoBEtoT/a5vej72olHOVc2dSzlXOlYVVvF4Li29++zL3/g4LYz59QgqRv9fE4pjPPOa+jt1HY+5j5r+u7Gsm59q/d0uGjzk3FArhG9/4Bj760Y8im83i3nvvxaZNm/Dwww8DAO677z7s3LkTTz75JDo7O1FRUYFvfvObs64LAN/73vfwe7/3e+jv78fHP/5xbN26FT/84Q/x7LPP4s///M8RCoUQDAbx8MMPo6HB/nsTzXFhD4GIiB8Kf7e1iIi8V8q5IiL+8Tfn7ty5Ezt37qTP7rvvvsuzcRw89NBDBa8LAHfeeSfuvPNO6/O77roLd91115zmpxISERERERERESl5egJDRJY8F4A7r9eMiYjIXCnnioj4RzmX6QaGiJQF1WOLiPhHOVdExD/KuZddFTcwEmluMJcYr7SWqQnP3gDI7OO2rrHfWmbMaDqXygYpPjPcSHFtjJt4AUAoyo1rws3cpA05uylb7jA3Pwuu4H2p+zWe6+Srm60xjo9y07W6E2soXn8dN60DgOF+3p91tx2lODFQS/FQT7M1RibDl+CK6imKQ+92W+sgzpVPznU8bs0HeLv7P3u9NUQ0wA0EN7dy47bWVdy0DgAixtxyjS0UB8a4wV5m2TXWGKHqsxRf08DN304OtFIc/tlWa4xYnK+bdev43Lx2bIO1TlVk9oZIjsMXeE0kaS3TPRWbdQyRX1DOVc41Kecy5VwRubJSadopUprUA0NEykLOdYr2J597770XLS0t2Lz58j9M/+N//I9Yvnw5tm7diq1bt+LJJ59cyN0VEVlUyrkiIv7xK98uBbqBISJlwIHrFu9PPr/1W7+FgwcPWp//4R/+IY4ePYqjR496dmAWESkPyrkiIv7xL98uBbqBISIyR7fffnved1SLiEhxKOeKiMgv6AaGiCx5rlvcx5n7+/uxbdu2S3/27dtX0Dy+8Y1vYMuWLbj33nsxPDy8wHstIrI4lHNFRPxTzJxbDnQDQ0TKQjEfZ25ubsaRI0cu/dmzZ0/e7d9///04ceIEjh49ira2NvzxH/+xD3stIrI4lHNFRPyjEpLLdANDRKQIWltbEQwGEQgE8IUvfAGHDx9e7CmJiJQt5VwRkavTVfEaVREpfzks7l3lnp4etLW1AQC+973vUbd8EZFyo5wrIuKfxc65peSquIExmuB3qceqJ61lxtJBimvCWYo7Kvl99G8PNltj3NjG77GfTEUpro7ye95TWd4mAMRqxynOTUYodpI8LwAIVGQodkf5/dHpt3g7G9byO+wBoGeymuI+Iw6fWG3PNTz7e+6rf7uC4uG/sJfp6llOcfPyCxRHmkesdQJxjjPtqzh+7DjFH7jWWAHAP524juJ4LEFxrGHMWidYNU2xW7GSF6ipotDJ2MfHiXPyMR/lymT5oahAIGeNYRroaeF1PN4fPpKMWp/RvBzeTkvVuLXMmyO1eeeyWFzYx3IhfeYzn8EzzzyDgYEBdHR04Mtf/jKeeeYZHD16FI7jYNWqVfjrv/5r3+ZTapRzlXNNyrnGvJRz50Q5d3bRcDvFyfT5RZrJ3DkO51zXnT3PFWs75kPorpuEzf5u05jGP6NcZK6w5Gzs30uA/Xtndl7fxdnnXpztzt1Cne+AU0lxzrX/3jHb8oWss5j8zrml7qq4gSEiUkyPPvqo9dnnP//5RZiJiEj5U84VEZFf0A0MESkD5dNZWUSk9Cnnioj4Rzl3Jt3AEJGyUNRH6/Q7QkRkVsq5IiL+KVrOLYN8q7eQiIiIiIiIiEjJK8snMGJBblwTDXFTneSE3WDMbCA3nuHmNo1GL5yqcNoao2ugleJr6wd4u5kwxYNTHg1kMkZDIKPBWC5hNiECwqu52d3Ez7mZU7RxlOKpCXu7t3W+TfHbZ7lZWvdYnbVObZSbsN1wPTchy0S4CV3Co6lZIsv7OzZYT3F10m5E5bY1UZz827P88xyf38Zl/dYYd7X1Ufz6Gxso7pjiJoQAEOnkJnOZAF8jbi3PPTjQY42ReJuXMe+mjhhNCBNJex7LN3LDvJOv8NzXrjplrXPs3TU8bpabw5nXxHTavs7M71UpcQHkb70nC0U5Vzl3JuVc5VxZWGbzyFS67wpLXhaPcI6ZTp3Js4bd5DEe4SbA5hiOw98f17XztgOzsa7ZxLGQhpTmMubP7bm7Lv/OcYwr2HH494XXOmaTS7NpZyjI+QYAMtlh4xOeezjUYK+T4XXM7djNQ+1c4ThGvjSOs3keLn6Yr8GmY0RejUBZvsamdnNVj7k6dl62t2Oe39kbrHo17JxrI1A/KecyPYEhIiIiIiIiIiWvLJ/AEJGrjKt6bBER3yjnioj4p5g5twzyrW5giEhZUHdmERH/KOeKiPhHOfeysryB0T3Fu7WlyajBC9i1Yi3xaYrHx6soHjTqYtMeF1GlUffdUDdCsVmPXFPBddQA0H+a6wvbK3lekVazlg5wx7kq6uw711K8+ubXKV6540VrjBNP3kZxSzXXHo8OtFjrZHN8DDInuRYuVHuK4vZVfEwB4MJwI8WJaT7OTtyun8z8bITi6RE+ZuEY187V33DCGqP3XzZRvGnjWxR3v8W15ACwetkQz6N2GcXBoV6Kc3VcNw4AwSifPzMZffC6N3kbGfsr+sYLN1E8NMk1e153aONhPiYbarl2vqIqf52f+b3KV18oVw/lXOXcmZRzlXNlYc3n3OfveWEy+z/kH8N1E7P+HADcvH0TCun9kq8nhj13cxmrb4TrNS9znNn/AWn3u/Bah6v30xm7Z1A+hZx/u3+Huf8eY+T9B7JrRF7HefZ+JIX1PDH7pCTzbONK48xNzjX/jmBeE177K4uhLG9giMjVxy2HZ+JERJYI5VwREf8o516mGxgisuS5cPRonYiIT5RzRUT8o5zL9BYSERERERERESl5ZfkExmCS71BVRLh2KjFZYa0TD9l1v7NZUWHXr6ZzfD+ob4hrjRtqRikOBe1aqmSK30M91c/vlI40j1jrTHVxXXDH2lMUOyGu1x5/Y4XHdvk9zLU1XI89eYFrngFg60pjO0HeztQhrh2rWtVjjdF6kucSiXBt3Llnt1rrVNXx3NwsH/dY4wjF6b4aa4xQdPaa7coerr0GgEA1XyPh4W6KczX2+79NUz1co31isJni99Vz/WR1DddNA0Amy8e1oZavq4GROmudM6M8t/qY0X9gtJbimpjdKyBh1N87gTjFbs6eq59yhZTNyoJQzj1FsXKucq5yriyuQvo55FtnYer9HasXg/FzJwKT3TfBxDnJ3MbF7Zg9Hwrpm1GMY/Le/1txwOG+O3avhvn0DbE5DveNyt/TpJDtzt6Lw/G4Vu1zVch5WIiEVFo9L5RzLyv4W5XNZnHjjTfiE5/4BABgaGgIO3bswNq1a7Fjxw4MD3s1rhER8YcLp2h/SoFyroiUMuVcERH/lFO+fa8KvoHx9a9/HRs2bLgU7927F9u3b0dXVxe2b9+OvXv3LsgERUSuRsq5IiL+Uc4VEVkaCrqBce7cOfyf//N/8Nu//duXPjtw4AB2794NANi9ezeeeOKJBZmgiEg+Li6+HrFYfxabcq6IlDLlXBER/xQz55aDgnpg/MEf/AH+83/+zxgfv1xv2dvbi7a2NgBAW1sb+vr6PNfdt28f9u3bV4SpFm48w3XBUaPW2uud7c1VXEvqDnH96qsjXBe2ssquPY2GuGbr+BDX3u7a+jrFiTGuaQOA5BTXuB7vWkPx+pj5LmTACXBRVLzVriWeKdY0an2WfYvry6YTMYojHrXjjcv43dVOiJeZHuY66L4Tdh14QwM/kpk1atrHRu1a6mzGqPP2qFmeKTlSbX1WvZznHlhTR3Fs2YS1Tu6aDRQHT7zJCwR47tnj9ju2E+NrKW6t5O20bjhJ8dgZrrUHgJRROz88zscoFrZrRUOBnPUZ/Tycvx9ByPjaOKXUA9gF3DKqDVTOVc5VzlXOVc71z1LLuXb/BvNkzKd23596f7u/gfFzd279kS7iuXtfmvmOWf5x5+e9j2H3vFgY+XtemObTa8XYZp7rwXvMQv4RPp8EVcJJrcxy7nuV97fhD37wA7S0tODmm2+e1wb27NmDI0eO4MiRI/NaX0TkaqKcKyLiH+VcEZGlJe8TGM899xy+//3v48knn0QikcDY2Bj+7b/9t2htbUVPTw/a2trQ09ODlpYWP+YrIuIpVyaNiZRzRWQpUM4VEfFPueTcYsj7BMZXvvIVnDt3DqdOncJjjz2GX/3VX8Xf/d3fYdeuXdi/fz8AYP/+/bjjjjsWfLIiIl5cXCxTKNafxaScKyKlTjlXRMQ/xcy55WDeBZUPPvggnn76aaxduxZPP/00HnzwwWLOS0REZlDOFRHxj3KuiEhpKqiJ5y986EMfwoc+9CEAQGNjIw4dOrQQc3rPskaTk6FJbijW1n4h7xiNUW4idH6aD9V4mpt6AUBLxSTFcaPBnNlgLZngJnUAUN0wQnHVGM/9pRdvtNbZ9r4XKQ61c7Of5Ik6ijOT3LQOAKoqeR3H4QZkK2t4XgAwNVZFcX0lN9kJRfgYjo3bjd1CYT5GdW3c6K3r9CprnU1r36E4l+MmQmdfWU/xypuPWWPk0saln+V5JLf9qrVOuKeLP8gYTYXGuflRerTBGsNx+OKsNa6Z8e5miuP1Y9YYkQEe1xxzZJLPCwCEAzzXsSRfe2GjoVwkbDdVmjQ+CgW5IWI2Zzcq9E/5dFaeSTn3MuVc5VzlXOXchbZUcq5jNE8srBHi1cTr2iynDojmf3+ee6NQx+OfgHO/jmZvVuytkPOQr+Hqez+Xxdl/P5Vnzp2vOd3AEBEpVeX0VxMRkVKnnCsi4h/l3MtK6J1cIiIiIiIiIiLe9ASGiCx5LqBH60REfKKcKyLiH+VcVpY3MNI5rsmaTocpDse5bhYAAkb9sVnjGjSumazHRWReWG3VXJ96vruN4vblPdYYE8O1FFdVcb1u74hd4xtfzjXMmfMVPFej7js5znW0gF1/be5/a/2QtU5NyyDFiROzv2IsFk1an5ndcAfO8DEya68BIF4/TvGxo5sproxNU5xL8vkHgGjHoPFJjbWMKb3sWoqdpuUUD/8/AxSHY/b+po068HiMr8XqNh5jvKfJGqOlvZfi7tMdFA9N8/kH7POZMmrYK42677Pn260xAo4Zl1b6mE8lphSHcq5y7kzKucq5srDmV6sfzPPzufdRWBjFeFC+lB+2L+Qfofl6Prz3b19xrqFCrpn5rDMf+fpmmD/12v+5jeE35dzLVEIiIiIiIiIiIiWvtG7ni4jMU7m821pEZClQzhUR8Y9y7mV6AkNERERERERESl4ZPIFh342aznF9VSprvC87Z9+3qa/l2unuk6sprgpxHVTaY4xsjudSEeF63Ew2X/0hcLaH65GXNXJ97tYtr1nrXHhpPa+z7c1Zt5GcjFuf1TSOUDxqvPd+csqu8Y3WcV10ZipG8fhgHcX1jXZNdzbDl2AgyOeuekWftc54dzPFQaOWvGeY577SY39j9calH47wvKr5PABAqHYDxZGnv0Jx05YJil87+MvWGIEAz7W2huugo+18jM6+dp01RssKruM3x0j02rXUVZEUxSFjHrksX88Bx677sysDS6caz3XV3Mg/yrnKucq5MynnytJQKj0urnZLucfHfK6h+awzn/1bysc1P+VcVgY3MERESvnXjohI+VHOFRHxj3LuZSohEREREREREZGSpycwRKQs6NE6ERH/KOeKiPhHOfeysryB4RoP2YynudbWrD0FgIjx/vhVlfxe+zfHuB6526g9BoANTVw7bL4HfjLJ6wwP1ltjJDNhiuMVPI/qa89b66SPce340KtrKK4y3nPvJZPkY1RVw7XWldVcawwAo6e57tcxaqlHR2soXtE0bI1RsaKX4iFjXxIDtdY60xOV1mezcXMeX/hJ4/3P5qkI2F8Nx/wswNeRm+afN7f0W2O8c+paiqNGnbSb5jGbl1+wxpgaqaY4EuUxVtbax/mNgRaKO6r4/A5d4J+HAnbNYtRoJ+CU0ANcLvR+7MWknKucO5NyrnKuXC3sTi1zHsHhXOi6qSsseTV778e5OObzD+iFmKvXPPJtx+yJ5ZXBzBxbOn1jlHNZ6fw2FBERERERERG5grJ8AkNErjaO3o8tIuIb5VwREf8o586kGxgiUhb0aJ2IiH+Uc0VE/KOce5lKSERERERERESk5JXlExgZo5FL2njkxmyeBgCpRJTidqPh1pEhbmK2PG43dgk6fG/s3HAjj2k0+urq5YZsAFAb5QZywUia4kDcbm4UMZrOjfY38AK9fDwq6njfACA1yc3uUik+RtUezeBGe5soPt/bSvGaNe9SnM2YDXQA1/isbs05iifOcaMzr3FSWb6MVzZzY7+xPj4PAFCdOkuxkzEazEXtZn+Bl/9fihPXf5Di8Bvfp3hkuM4aozY+yXHdKM/17ZW8zaB9v7W6ZYji7q5VFEdCxr7Abm1kXosTk9wwMRDIf5/XcUrn/qcL6NG6RaScq5w7k3Kucq4stPk0dSyVRpDMv6adpbL/85lHaZyr+c3Dr+Nu/r4z/85g5lh7Ho7DTb1dt7SaeCrnXlaWNzBE5OqTK5Xf7yIiVwHlXBER/yjnXlY6t/NFRERERERERK5AT2CISFnQjWkREf8o54qI+Ec597IyuIFhn84kjBpmYzezOfvBk0yGl6mOcY1zS4zroLIedUiTSa5pThh1wmbdcN903Brj5uveojgc5drA4dfWWOvUdnJtcS7LdWAj/VyPXB/pt8aI13ON9vipDorrwvY6/QM8btrYbtyo+664rscaI3mGx3CCfJwjlXweACB1nuu+G2u4prmhZYDioT6uGweA8TdXUFy9kX8eOXHI3u7GX6c4+vp3KU6PcM3+sg57fwd6uL48afQBiFVzvfaIRy1563qucw8ax6wiZh+zVdV8jMxrNRri70wyw3WAABAL8nfNseoNF4/rAjnVBvpEOVc5Vzl3JuVcWVj5j7Nj5FwXdl8WM3cXts575TV383eIXz0S5rP/5nfO7KNQyIPs+XsvLISAw/kx5yaMJez+DvmPSSE5iMd1HM65rps2fm7nPteaq7WE9UkoWMezyPHvQ3O7XvuSf7uLRzmXqYREREREREREREpeGTyBISKi92OLiPhJOVdExD/KuZfpBoaIlAW9XkpExD/KuSIi/lHOvawsb2AkHa5hTuci/HOPOuiaujGKj19op7g5yrVTaY+a7rEU17gOJDgeT3Mt7oZGu8Z5eqrC+mymcCxpfZab5voys4a5pfIcxWffudYaY+WG47ydCB/DkZ5max2zZrfzmtM8L6M+Oztk71swzvuTGKijOD3FxxAAKqu4Zrn9ttco7v05F1cPjPKYABA9z9utOfUixe6ya6x1nME3KA6c5rro6LU85uQFuw7cnHvDSq7ZPnusk+Jw2K7JdEKz34ONRe13qjdVcS3gmWGu817d1Edx73itNUaVsd2Aowo0uUg5Vzl3JuVc5Vwppvw9E+bTv6I4PS/yza2Qfg+L05qwsP23+0TM7eeLJ+dO5l/IkP+YzH1/8/WVcN3iHMNMdnCOa5TuuZP8yvIGhohcXVzo0ToREb8o54qI+Ec5l+l2voiUBdct3h8REZmdcq6IiH/8zLcHDx7EunXr0NnZib1793rMxcUXv/hFdHZ2YsuWLXjppZfyrvv4449j06ZNCAQCOHLkCI33la98BZ2dnVi3bh1++MMf5p2fbmCIiIiIiIiIXOWy2SweeOABPPXUUzh27BgeffRRHDt2jJZ56qmn0NXVha6uLuzbtw/3339/3nU3b96M7373u7j99ttprGPHjuGxxx7DG2+8gYMHD+Lf//t/j2x29hKfsiwhSThTFLuoojiZst853NbOtdHTr19PcX2Ea20djz4qLw3UU1wT5oNvjtFYw++JB4BonGupx0ZrKA5O2Ce04cbj1mczZYya5samIWuZnq5VFMfiXLP2+gmuEwaA65af5XHXn6J45HgHxcGI+Q5mINbBxz1zjmvWUx712MtufIviQAvfTqxu4f0bP77WGmNklOuNW97k7bp33mStEzn9M15mmM+nO833AyuXDVhjxOq4Lto8N1mjzt/J2O+pnjCOUW3jMI+Z5P4DADBsXEfJHI8bDPJ1lcguvdSQ83zfvPhBOZcp5yrnKueKiEgx+ZVzDx8+jM7OTqxevRoAcM899+DAgQPYuPFyv6sDBw7gc5/7HBzHwW233YaRkRH09PTg1KlTV1x3w4YNnts7cOAA7rnnHkSjUVx77bXo7OzE4cOH8f73v/+Kc9QTGCKy5LkAcm7x/oiIyJUp54qI+KeYObe/vx/btm279Gffvn20re7ubqxYseJS3NHRge7u7oKWKWRd03zWWXq3/EVERERERERkTpqbm60eFDO5Ho0yHOMx2CstU8i689meSTcwRKQsqBGciIh/lHNFRPzjV87t6OjA2bOXS1bPnTuH9vb2gpZJpVJ5153P9kwqIRERERERERG5yt1yyy3o6urCyZMnkUql8Nhjj2HXrl20zK5du/Ctb30Lruvi+eefR21tLdra2gpa17Rr1y489thjSCaTOHnyJLq6uvC+971v1nXK8gmMaWeS4qDDt6wCjn0LKxjj5mDxEDc/G05y46+KQMYao8poIPfiEB/e6xu5WVxFJTe+A4CR4TqKs1lu/FVXZzehmzzOd6mqNpzjBXqN/R+05x6Jpih+7q2NFLdWTljrdNzMHWmne5p4rmu54VwuaTfyc42GaYnxSor7+3lMAFi27HWKU7f+KsWV4z/mn//Ubsr2Rl8bxTds/AnP9Y0nrXWco9y4z1nVQHGS+80hXGsfs+iaEYp7/pEbF9Ya53dqgo8HAPR2L6N41fXvUDzRx40NASBjNJCrMK5v8zoLwP6OmJ84JXX/01FDuUWknKucSz9XzlXOlTLgdX4X67Ebcy5zn4fjcLNd101dYclSlG//7ZwLmA2o3/sxLIy5HTNv5Xyah6mQfFXKj5X5l3NDoRC+8Y1v4KMf/Siy2SzuvfdebNq0CQ8//DAA4L777sPOnTvx5JNPorOzExUVFfjmN78567oA8L3vfQ+/93u/h/7+fnz84x/H1q1b8cMf/hCbNm3C3XffjY0bNyIUCuGhhx5CMOh1Tc+YY76dSCQSuP3225FMJpHJZPCpT30KX/7ylzE0NIRPf/rTOHXqFFatWoXvfOc7qK+3f4mLiCy4ObzbutQp54pIyVPOFRHxj885d+fOndi5cyd9dt999136/47j4KGHHip4XQC48847ceedd3qu86UvfQlf+tKXCp5f3tv50WgUP/7xj/HKK6/g6NGjOHjwIJ5//nns3bsX27dvR1dXF7Zv3469e/cWvFERkaXs3nvvRUtLCzZv3nzps6GhIezYsQNr167Fjh07MDw8PMsIV6acKyLClHNFROQX8t7AcBwHVVVVAIB0Oo10Og3HcXDgwAHs3r0bALB792488cQTCzpREZErcXHxocRi/cnnt37rt3Dw4EH6rFh/2VXOFZFSp5wrIuKfYubcclBQD4xsNoubb74Zx48fxwMPPIBbb70Vvb29aGu7WNPa1taGvr4+z3X37dtnvV92oU3mBinOutdSHI1y7bUX1+U6o+ow18qdmai21okG+NmemjCPEQ5wPVouZ98/mpiuoLgylqB4eipurVM1xbXiTtx41U2GtxOO2XV/qQGuDZzO8KURdOxLPljN9eWJd7h2uGJ5P8WhGrv+fPIU1xYHgrydcJjrhgEAlVGex9gAxamP/hrFQ9/g4wMAK6vHKE68zbXVwbM91johozTcPTVEcXSZUZsW8HjWK8jL1K3k7Qyd5tr6UY/rbOUKrrdPjvJxnxipsdapN/a3Z6yW4pjxnQgG7POdyPJ15JZYGsz5+Gjd7bffjlOnTtFnBw4cwDPPPAPg4l92P/ShD+GrX/3qvMZXzlXOVc5VzlXOvUw5lzkOf8dcN2Eu4bGW3VVl9p97neDZ13GMf1a4sPv/5DefOv/8/R3snheOEdk19/ObfzGYc5n7dz//NeK5Vp6fF9J7w5yr2YujEPnOZzGu72LMw19+5txSV1BHqGAwiKNHj+LcuXM4fPgwXn/99fwr/as9e/bgyJEjs75vVkSklPT392Pbtm2X/hTyl9NC/7JbCOVcEbmaKOeKiEih5vQWkrq6OnzoQx/CwYMH0draip6eHrS1taGnpwctLS0LNUcRkbyKeWO6ubm5JP4yqpwrIqVKOVdExD96AOOyvE9g9Pf3Y2RkBAAwPT2NH/3oR1i/fj127dqF/fv3AwD279+PO+64Y0EnKiJyJS6AnOsU7c98/OIvuwDe0192lXNFpNQp54qI+KeYObcc5H0Co6enB7t370Y2m0Uul8Pdd9+NT3ziE3j/+9+Pu+++G4888ghWrlyJxx9/3I/5FmQyzXXAaY+6Z1PQqBXOGid4JMm1ZKNpu+6rwqglXlfDtcSjxhiTk1x7DQBR413xuRzPI5HkWmQAmBqrorh2gE9r9Dp+z/3QUyusMRLG3K5r4Brn5jq7u/fku1w7XNPRy/PqbqbYrM8GgIo2rp2/cJLn1tLOY17cMNcOuxGee/TIjyn+1Y0brSHMevvet1dRPO5RB735N56hONPH5y/UYtSbh+0k4U7z/dNII9dJZ7quobgixjXvABCt4u0kJ3ge0wm7/jwc4jrOZI6v34pKHtPxyG9Z49Zvzi2teuzF9ou/7D744IPv6S+7yrkXKecq5yrncqycy67mnJu/n0Eh/612Pv89d/Z1itMzovjzKmSdxet34WWufSPs5V13Pr0n5noc57ONQuSbx0Jd3wsxhiyEvDcwtmzZgpdfftn6vLGxEYcOHVqQSYmIzJWf78f+zGc+g2eeeQYDAwPo6OjAl7/8ZTz44INF+cuucq6ILAXKuSIi/vEz55a6OfXAEBEpVX7+t8lHH33U83P9ZVdErhbKuSIi/tEzeJcV9BYSEREREREREZHFpCcwRGTJc6FH60RE/KKcKyLiH+VcVpY3MLI5bsIVCfBDN1PTcWudQJwbudUZjbzeGq2leDRlP7xSXcnNbK6rHTHmxeuc7FtmjbGqmRuopdNhisNhnicAZDPcHCw9WENxqp+7g1U1283hhofrKF67+l2KgxG7udH549z8rKmN38FevZxjJ2rPPT3MjdvqG4coTkza5yq3cQPFgadf5AVq+Ty0bX3bGsM1GvX98//5MMVBx35Qa+xl3t9oAzfqCyb4mnGqPb5ek3wMgvUpHjPGzfICQXseceP8paa5yeDAaJ21TpVxPddFuQFYNJavIRgQLPHGxXq0bvEo5yrnzqScq5wrS4HZGNk8o17/WjIvSnMZc8yFavI4H+bczd8phcw13/7PRyFf9KvtX67FOM7zub4XYh7Fo5x7mUpIRERERERERKTkleUTGCJylXGB3NX2HyhERBaLcq6IiH+Uc4luYIjIkudisR/sExG5eijnioj4RzmXleUNDNflKqGAw6c8lzProgA3yZ/FI1wnO5Lin4+k7Zq1TqPuOxriGubxJNfN1kbtGlizltaso62NcwwA2SyfxrOvXUdxLM7bad92zBpjrVHje+7FjRQvW3fSWgfnWynMpfkYpUarKK5s4/plAMic5Xrr6uX9PMZ4hbVO4EQPf1Bt1C028naDU5PWGBNdyylefy3Xnw8ONlrrvP7qJoo7rz1Fccv6MV4hZdewO7VctTX9WgPFjet5zPRYpTWGWUs+MsBjjKVi1jpZl7dr1pu7xs8DHmkyElDqFG/Kucq5MynnKufKUjCf/hT5rsn8YzrGPz1cmN9b+/eFKRDgPOW63OsmEuLvKABkspPGMtxnKZG+YK0TDHDPoGyOx3CMuboe+2/PrdlaxpTKmHPhHBQMcN+lnGv/nnJd/p0ai3RQnEh1W+uY+1MR5T5Ek0nO24Uwx4TDuc91va4Z/iz/NQM4Dudh1zV/3/MxNI8HACTT3EfKPP+Z7KDHXGUxlOUNDBG5+ujROhER/yjnioj4Rzn3Mt3AEJGyoNdLiYj4RzlXRMQ/yrmX6S0kIiIiIiIiIlLyyvIJDMfh3Urm+D5NXd2IvZJRaxow6lUnMlw75fUYT2U4bX9I8zKW96jHHpzkWuJwJkyxWVsNANNTXNP8bi/XGjdVjlO8Yrk9z2A91/22DJ+luOetNdY6lVVcC1jRNEJxNsH156nuOmuM+AquN8tN8TqJc1zzDQAVp7lmO7StiRdI8DFK9XKdIwAEI0ZNYgWv01Fz2lrnnw7fQnHsXDvFTX1vUxyotd/YnBvniyDSyDXcwRaeV2jcriVPnONa8ckpsxbUWgWjCa4NrI3x/lY2cT1+S7VRWw4g08/b9ar1XCwu9H7sxaScq5xL21XOVc4VuQKv/gUs/3Wey43P+vNk+nzeMaZTdo8gU76eB/P5D+J2f4tC8JayufxzNyVS5wrYCp+byeSJOW8n35jzOWj5rxmvnhf2KDMVcjxKqeeFci7TExgiIiIiIiIiUvLK8gkMEbn6qLmRiIh/lHNFRPyjnHuZbmCISFlQXhcR8Y9yroiIf5RzLyvLGxiO8Y7h4RTvZkXNhLVOZoTroENBrsELGbXU1VwmDQAIOnxpTafDRszzcBz7Umyq4rq+gQl+B7FZew0AFwa5Hjlr1J9PpyO8Qn2dNUa2pY3i9OQUxSGPWvOxMZ7b8nVHKU6caKG4/51V1hgdv3mc4okf8r5EKux3W8PYv9SqjRSHf/xjioff3WwNUdXM9cfVy/usZUz1MZ5L0qiVH+9awdtYY79jOzPCde/RrWbNHtejO40xWIyyvZzLF2ciY3+t0y4fs3iW38sdquR9q6m0vyNmTwLXVTWeXKScq5w7k3Kucq6UvoDD342ca/d/WTqc/ItY//wLGnEhPWbM7RTyT8pC5pbP7NtxPP45l79njteY+fZvPsdsPuZ+nM1jYO//fMbI33tDFkdZ3sAQkauLCz1aJyLiF+VcERH/KOcy3cAQkaXP1fuxRUR8o5wrIuIf5Vyit5CIiIiIiIiISMnTExgiUhZUHS4i4h/lXBER/yjnXnZV3MAYShrNsyJ2c7T0KDczShnNwkJG87eY2ccGQMBoEDOW4uZgGaMRWiZnD9LaOMBjGtt99fS11joRo/ldMMCXeDycojj9UtIaI/OFG3i7wecorqzlRncAkMvy/ky80UFx1QbufNZaxU3qACDxc252Z45Z0TJkrRO63rhsn/sJx63cHPD0OZ4XAFxnzKXq3/Bx7/+BfZw3rHuH4jOnVlJ84q1OihsucHM8AFi16wjFbutqip0ebkLn1jVYY+TSPPdImJsMZV37waoT43x910T4msil+DzUNYxYYySMfkjZXMpaZrGoNrC0KOcq55qUc5VzpbQs7aadpvlcjPNpQDmf7Sz8F6V4zSbzzXWhmnaa5n7MinEMSrlpp3IuUwmJiIiIiIiIiJS8q+IJDBEpf7oxLSLiH+VcERH/KOdephsYIlIW9GidiIh/lHNFRPyjnHvZVXEDI2uc8GzGroMOV3ON9shUBcXxEA8SDthXUdiogx5Nc41r1nUodo0YABxj3HCY5zVhjAkAiQTvz/b1b1CcyfBpTvTXW2NU//N3KQ40xCiOhezWMdNGjW82yTXsjnF1pe/7pDXGW58+T3Fz0yDF9XeOWeugn5dBiI/j2I94/1Yu5xpnAMikeK5uP9eoRyoT1jrZNO/Q2s1vUfy/nv4wxR+psWvYETe2G+AqLvOKcCbs/Q+EjTjANYmhgH2uzk3xdj7UPk1xLs3XUMyj/j5qfG1c32ohZalRzlXONSnnKufKwnEczh9w7Vp+s77fMf4JUMr1//Y3dT7/kss3hv37oXT+m/d89r8Yx2yu21io7Yiwq+IGhoiUP70fW0TEP8q5IiL+Uc69TDcwRGTJc6HXS4mI+EU5V0TEP8q5TG8hEREREREREZGSV5ZPYAQDUYrTxi2rkb5Ga51ldRMUJ7Jc9LosxnXR4x413ckcf2bWW2dyfL9oKsXzBIDpqbgxBq8TD9k1issqee7n+1sovuGWl3keCXu7iZe5/jzSPELx2JvXWOu03/Yaxb0/30hx9U1bKK7453+wxli5qoO3G+e6aPfMgLWO08xzdfunKA5Xcq3x8PFV1hgNDcMUZ0eM+vtm/jkABI0a7Qsvr6N4bR2vE6/geQFA9pwxZog/cBubKHYSvC8AEF0+QnHsrRTFqZx9X9Js/FMT57k5Qf6SZCeNom8AEY8eBKUkp2frFo1yrnLuTMq5yrmy0DjXBRzOMVnX7iljD2Fctx49gmx+9VHIx/x9YP63aa//PmsuU8h259o3wz4+jsN9lFw3bSyxUN+jQnp85FvHPM4L0YenkD4ac+/nkb/Hi0dPLGN/XWs7i9uHSDn3srK8gSEiVx+ldRER/yjnioj4Rzn3MpWQiIiIiIiIiEjJ0xMYIrLkua7ejy0i4hflXBER/yjnsrK8gRFweLdqI3zGp6a55hkAnDDXRlWGuca10qiDDjr2VZTIcu2UWRebNOKxpF0XXTFRTfHINNcJb1lxylpnZLyG4oDDdX4jPc0UxyrtGt/QNNfo5Sb5neJmjTMAJM5z7XDb//UmL/A2h+64XUve9IF3+IMg16SNHbbrwCO1XH8eXcm1xbk0n//GpiFrjN4LXLPe0HmWp1Fj11JPn+V1UkZd+7prTlFct6LXGiN5oYHiWKSf4kAl16NjctIaw6ydNuu+z0zyNQPkf/VSdBkfo6nBWmuZZTE+f65bSv2QXY9aRfGLcq5y7kzKucq5srAcs+dFbsJYwu4ZlG8M101dYcn5M/sQAIBr9REo5Dqaay+GQnoVmD0QvB5KN8eZey8G+7iaYxTSA6IY5jNmvuM4nzHnfgznsx2750X+MfOvs5iUc2fKW0Jy9uxZ/Mqv/Ao2bNiATZs24etf/zoAYGhoCDt27MDatWuxY8cODA/bDbhERGRulHNFRPyjnCsisrTkvYERCoXwV3/1V3jzzTfx/PPP46GHHsKxY8ewd+9ebN++HV1dXdi+fTv27t3rx3xFRCwuLj5aV6w/i0k5V0RKnXKuiIh/iplzy0HeGxhtbW246aabAADV1dXYsGEDuru7ceDAAezevRsAsHv3bjzxxBMLOlERkauBcq6IiH+Uc0VElpY59cA4deoUXn75Zdx6663o7e1FW1sbgIvJv6+vz3Odffv2Yd++fe99piIisyil6vBiUc4VkVKlnHuRcq6I+KEcc+58FXwDY2JiAnfddRe+9rWvoaamJv8K/2rPnj3Ys2cPAMBxvBrVLLxYgJ+XGRyzm2W199dRnHN5ruEAXzZeF9FEOkyxV9O5mbqnKq3PAsY6VRGjsV2V3WAsazSyCxvN8c6db6d49eqT1hiuMUZmihvKnT621lpnw50/5Q8ivI47mKDYWcUN2QAA00bjtjHev2DMaLAGID3JDQHdkzxutHGM4vEL3PgOAIJBbkw02LWS4rY73rLWOfOj1RS3Lr9Acd11ZyiePGvvb7yVG7dNn2yluLLBaEKX8WgylOUHp2qWDVDcPWU374oYH2WM8+1E+HgM9zdaY1SEzGZOpZVK3Xxd85YY5VzlXJNyrnJuKVHOvWgxcq7rJvIvlEcuN16EmcyueE0RC2nKOVfm9VvINopxzc9njHL6rpXTvvir3HLue5G3hAQA0uk07rrrLnz2s5/FJz/5SQBAa2srenp6AAA9PT1oafH4i5KIiMyZcq6IiH+Uc0VElo68NzBc18XnP/95bNiwAX/0R3906fNdu3Zh//79AID9+/fjjjvuWLhZiojMwsXF/zZZrD+LSTlXREqdcq6IiH+KmXPLQd4Skueeew7f/va3cf3112Pr1q0AgL/8y7/Egw8+iLvvvhuPPPIIVq5ciccff3yh5yoickXl8midcq6ILAXKuSIi/imXnFsMeW9gfOADH7jiATt06FDRJ1QMDux61JlGkzHrs/S0/dlMy6q4VvDCRLW1zKRRS23WVicyPK+RlD3PukiE4tXNXJ+bydinrLG1n+JInGuYpxNRivsv2I9BrqjhOuiRk+3WMnkF+IGe3PtupNgN2PsbeuMof1DHx9WsEwcAN8c1pukJrs/OJrkuvnYF100DwMmzKyiuqeHzmzpWYa2z+sZjs24n2MLHPTpu15ea+5Mz6+BP83XohO36USfCn5ljxDwu/4jRk8CFUadr3JKdTtjfB7Oy13XL5T5uaVHOvUg5twDKuRQr58p8LMWcKyJyNZvTW0hEREqV/movIuIf5VwREf8o516mGxgisuS5AHJ6tE5ExBfKuSIi/lHOZQW9hUREREREREREZDFdFU9gJIz6Xa/XdLsufzic4BrftU1GXXTWvvdzwajpThk/n87wOj3T9kRuXzZNcSjI76XOeWw3FElT7Bjvjo/HuE44EuUYAPpPL6c4Gud5TBnHAwDS3bU87mpeJr3hkzyv7metMUJVRt1zjh+Qmh6tstapaBilOGMc94BRw+xV0x02juvZnjaKh4frrHW2/O7PedzuQV4gyOczWGm/pz0zVklxrHmYt9tl1Il38HUHAME4X1mjF5ooXllpXnm2wUk+rk6Q7+rGY/bc0675PSqt9OHq3eIlQzlXOdeknKucK8VkfseyRuyRdOd8vooxRqHjFnsbsjCszjyLMovC5JtrIdd3vu+Zv5RzLyut34YiIvOk2kAREf8o54qI+Ec59zKVkIiIiIiIiIhIydMTGCKy5LlwkdOjdSIivlDOFRHxj3IuK8sbGAGHHyyx36VurzM1wXXBqRyPUV01SXEiHbHHMGqls0b96rhRj11vD4GRJNcWZ4xa4qr6MWud8aE6imtbBygOhbleu365XeN75q01FA+M8JixsF3jm57g+uvMTbsoroxxjXd24Jw1hlvPtcTOiZMUB4L2A1Nm/XX1hjMUTx5vp3hqiOvGASBtHNeJZJTiuqpxax3E+RpxruOaZvfdCxQH6+ya5uke3t9w3QTFVS1cn50e5/ptAEiOVFM8OcHL1BnnGwAqjc8SGf7qZ0Z436Ixu2bfFA3V8RjZQe8F/eCqO/NiUs5Vzp1JOVc5VxZavlr8YpybhTq/um6WrqV07vLNtZB9WdyeF0Q5l6iERERERERERERKXlk+gSEiVx91ZxYR8Y9yroiIf5RzL9MNDBFZ8lxAtYEiIj5RzhUR8Y9yLlMJiYiIiIiIiIjg4MGDWLduHTo7O7F3717r567r4otf/CI6OzuxZcsWvPTSS3nXHRoawo4dO7B27Vrs2LEDw8MXe1CdOnUK8XgcW7duxdatW3Hfffflnd9V8QRGNMB3rHKu2WIOmJrm5mixIDduGTeadgUDdqOzmNH87J2xMMUpY5X1NRlrDLMJXcZo/DXt0WCsYUUPxelJo9FbmucRrLCbhdXXj1A8MFpHcd9EjbXOpnZuIJbrO0bxZIDnHsvYjc6mN3+M4oqeR3jMrH2PbXyQ51YNbihXtbab4sTPufEbALze30rxpqY+ipd18DEFgNyb3Kgv+9Ffojic4AZymVftJnyBEJ9zN8ON7YIVPEY2yecOAM4dX8XrGNdiU3zKWidpXEfxEJ8LN80/TyXtbodhh79HVaFmiieTJ6x1/KQ706Wj3HNu4zXneTvj3JBROVc5VzlXFpadU5nXf5/kHOsY/wQo5PH0gMMNfXOu2Th39m0AgBPg3J/LcQPfgGPnXNflHOrCzOX8vY4Y3xUACBj5sdJYJp2zv8fjydPGJ/zddxxuRpzLcZPgf93yrHPL5Lhh9cVxeC7mcXcc3pem+AZrjOHkKYpTmX5jDD5mXnM1j3swwL+Xch5zz3du7MaYXvMoRvNMq534PNYxv0eL29TTr5ybzWbxwAMP4Omnn0ZHRwduueUW7Nq1Cxs3bry0zFNPPYWuri50dXXhhRdewP33348XXnhh1nX37t2L7du348EHH8TevXuxd+9efPWrXwUArFmzBkePHi14jnoCQ0TKgFvU/4mIyGyUc0VE/ONfvj18+DA6OzuxevVqRCIR3HPPPThw4AAtc+DAAXzuc5+D4zi47bbbMDIygp6enlnXPXDgAHbv3g0A2L17N5544ol5Hw3dwBAREREREREpc/39/di2bdulP/v27aOfd3d3Y8WKFZfijo4OdHd3F7TMbOv29vaira0NANDW1oa+vstPYp48eRI33ngjPvjBD+KnP/1p3n24KkpIRKS8qbmRiIh/lHNFRPxTzJzb3NyMI0eOXHlbrr0dx3EKWqaQdU1tbW04c+YMGhsb8eKLL+LXf/3X8cYbb6Cmxi6l/YWyvIHhGA+WBI167KxrP3jiGp9NGjXMmaxZX+dRW2zUDg8muVbu5kaeR33ErsfunuLawK1h3s7UJNdaA0C9UcMdCPO4aaPWNudR4xs06oRb6oYpDo171H0Z+xt++yj/uLKJ59G21hoics74AoX4OFc2jVjrxFJcc5fsbuAFzPMbsL9MNRGulV7ZzjXtoYh9fpPneX8iE3yMEOMaxUD1mDVG6vQyioNxnke0Y4ji6V5j3wAMjtXyPIxzVxm268BN0xm+BnLG9Z1M2fXYpkrU512mXK1atQrV1dUIBoMIhUKz/iK4Glx1OdfYrnKucm4+yrnvjXKuKd8/ZPLX6tu9CvLLuXbPg7luwzV6XrzXbVzE+5vKXMi7RiJ1bh7bYa6b/7s/n7mZrGNinP7eyefnPKbrzr2fQzY3Oud18l+LC9VXYj7/2DfXWdyeF4ulo6MDZ8+evRSfO3cO7e3tBS2TSqWuuG5rayt6enrQ1taGnp4etLS0AACi0Sii0Yv9ZG6++WasWbMG77zzDrZt23bFOaqERESWPgfIObmi/SnET37yExw9elR/kRaRq49yroiIf4qYc/O55ZZb0NXVhZMnTyKVSuGxxx7Drl27aJldu3bhW9/6FlzXxfPPP4/a2lq0tbXNuu6uXbuwf/9+AMD+/ftxxx13ALhY0pLNXrxZ9O6776KrqwurV6+edY5l+QSGiFx9ivk4c77+7iIiVzvlXBER/xQr5+bLt6FQCN/4xjfw0Y9+FNlsFvfeey82bdqEhx9+GABw3333YefOnXjyySfR2dmJiooKfPOb35x1XQB48MEHcffdd+ORRx7BypUr8fjjjwMAnn32Wfz5n/85QqEQgsEgHn74YTQ02E9D0hzf2yEQESk/v2hw9At79uzBnj17LsWO4+AjH/kIHMfB7/zO79DPRERkbpRzRURKx86dO7Fz50767L777rv0/x3HwUMPPVTwugDQ2NiIQ4cOWZ/fdddduOuuu+Y0v7K8geGa72k2fh4O5K9pyrqz358ambTfcz+U5JrWFcarrCMBu8bXVBHkuZ8d5PdFb133trWOWUubGK2mOBbj93RPD9tNURxju42t/L7oa254y1pntGsFxQ0rTvF2n3+K4vT1t1hjBEcG+IMUH6OKmwatddxRrqkc+Jf1FPecb6O4rs6u2fvQllcodhy+qxmM2nWN6QmulY+fPE5xds06igNOrzVGrI7fEW7VzvdwrXU2bX9FO1p43FMXuC4tlbXfqR036vqTGR43OcTXRDjkUbdqjunavQEWy8UXQxX2GHIh8jU4eu6559De3o6+vj7s2LED69evx+2331607S81yrnKuTMp5yrnzpVy7lzxNecYWbeQ/haOY/RdcY087kStdXLulPHJfP6LMM894HAvm/n0wDD3xau/g+OEjWUSxhL299jugWAu41ePhHz/zdzrPJjrFHKu5rp/XvMyt2OOaeaNQuZVyDNaC9FUeD7HcGEUM+eWwxNv6oEhImUhB7dof/L5RUOilpYW3HnnnTh8+PBC756ISElRzhUR8Y9f+XYp0A0MEZE5mJycxPj4+KX//4//+I/YvHnzIs9KRKQ8KeeKiMhMZVlCIiJXn0I72b9Xvb29uPPOOwEAmUwGv/mbv4mPfexjvmxbRKRUKOeKiPjHr5y7FOgGhogseRcrA/1J7KtXr8Yrr7ySf0ERkTKlnCsi4h8/c+5ScFXcwMjkuF1JRdhu7JbJcJOZmgg3FBuY5CZtOY+Gc30JrivaVMcX2vKKaYq9Gn/1THMjovUBHmNy3G5kZzZDi9WOU3zy9EqeR8huylPTNMzxzad5AY/vTGaKGy9NHmmiONo8QnE49JI1RnbFtRQHa42Gak2t1jrBE+9Q3H1uOcUj09zJr7ZmzBqjccNJih3jmJjN8gDAMc5F+i1uCBWuvcArVNl1ZuFabiiXHuOmbKFKbioVDNuNuLLGdRML87U6nOBjCADTaZ5rQ5wbcY328+uKYnGzuRUQMvY/6toNvkQA5VzlXOVc5VxZWPz9cT0bUM7Ode3Gufzz/I1A54fnbjcGnbt8+3JxmXwNKe2fh4KNFGeyI7OO0FR5s/XZwOSLFFdG11Ccytr5ckf0kxT/KHlg1u1ujPyK9dnRqe9Q/IXm+yj+X2MHZx0TAP6v+Ecp/ofxRynOeMy9MrqK4jXBbRRHXM6Nm+J2/vyX5BmKxzFEccijwWxfkhtfbwp9iOKjCT6GzRXXW2PcaZy/n07w75g3pv63tY4sjqviBoaIlD/dmRYR8Y9yroiIf5RzL9MNDBEpA8V9pZ+IiMxGOVdExD/KuTPpLSQiIiIiIiIiUvLK8gmMnMt3qMYzfJ+mvoJrYgEgm+Nlmo1lXhtsprjWo6Y7bdwYixn1q5XGOlmPmu6mGC8zkeL67PMDXPMMANe391I8coHnatZrh0J2XWPNh/spdnlIODwNAEDFmh6Kx9/kuu+pt6+huGqYa74BILSuhuLMde0UR85wTRsA5Pq4TtHcP/P8ZrP2ZR6s4dp4Z3mc4prcOWudkXd4/0be5Trwpsa3eUyPYxZay3NPPMd1fIlhPh7mvgFAcwfX5PWP1FOcztn3JceM66itZpS3O8219bX1/HMvUYSNT+zrGT69b9qFujMvJuVc5dyZlHOVc2Whcc+LYIB79WRzdm8Cx1jHxXx6XDhGZI5pXn/5+k6Utkx2cE7Lm/0uLuJjNpk8kXecJzN/PesY5vf8aOZR2Pjc/E3//8i7XXPcx5KFrMPM/XsV5v7yvhyZhgfzOpr9uru4Bl/PL6X/16xj9E6+YI3x15NHjDFL5/pVzmVleQNDRK426s4sIuIf5VwREf8o586kEhIRERERERERKXl6AkNEykIpPeonIlLulHNFRPyjnHtZWd7AyLlm3TP/PBiwH8GJRIz3uk/xe+37Elx7msraD6+0xrm+KpXjuC5mvAc+ab/HeHPDAMU9k9UUd4/b70teO85zHRri+tzxBNcaN9/EdcMAgBAv48SMn3s8tRRYWUFx1TTXZ594lt+n3Hu+zRpj85ZnKc585usUZyfsGu7kSa5zu3ZDF8Vnu67leQbsL3wuyZe+u2YjxaHEUWudaA+fv4l+Ps6nf8Tvul717+2abpzjWurJwTqKm9/3JsVDL3daQySN2ukVbXzcX+tvtdYZTfP+jk7z+V6+jOfl5uzaavOKD5dQ+nD1aN2iUs5VzqV5Kucq58oC4+9YNmf2ULGvp/n1vLBHWegxlza7N0Nx+oDkO0Ze/XBK9R+78znfxbju8m+3ONfzwlDOZXlLSO699160tLRg8+bNlz4bGhrCjh07sHbtWuzYsQPDHo3CRERk7pRzRUT8o5wrIrK05L2B8Vu/9Vs4ePAgfbZ3715s374dXV1d2L59O/bu3btgExQRKUSuiP9bTMq5IrIUKOeKiPinHPJtseS9gXH77bejoaGBPjtw4AB2794NANi9ezeeeOKJBZmciEhhXLjIFu3PYlLOFZHSp5wrIuKf4uXccjCvgsre3l60tV2srW1ra0NfX98Vl923bx/27ds3v9kViVmPncnaNWpNtfzO7BdOr6a4MsR3rM5Mme9jB5bHuXYq7XJNWp9RW91p1F57qQhxbflQ0iyUBl56az3F8TCvs6KJz0+w064Dd+ubKHbGJvjn4/YdOyfM77nPjPPlFI0mKR6Z4P0HgMxZHiN3/B8ojrxx1N7uMuP8OXyCVxjLv/P6BmuMlWZNfopfRO222bXj1defpfiV/3kDxde0n6c494b9vcgZtdT1nTymm+BjGKm0X5DtBHh/By80UxwP2skpneN7laeNuv71xs/DcT53ABAP8fUdhH0dycJQzlXOBZRzlXOVc/2y1HKurZz6Siwli/WPQ51vuboseEeoPXv2YM+ePQAAx/FqMiMi8t64QNk8FvdeKeeKyEJTzr1MOVdEFppyLstbQuKltbUVPT0Xu3D39PSgpaWlqJMSEZkrF7mi/Sk1yrkiUmqUc0VE/FOu+XY+5nUDY9euXdi/fz8AYP/+/bjjjjuKOikREblMOVdExD/KuSIipStvCclnPvMZPPPMMxgYGEBHRwe+/OUv48EHH8Tdd9+NRx55BCtXrsTjjz/ux1xFRK7ARa5MGhMp54pI6VPOFRHxT/nk3GLIewPj0Ucf9fz80KFDRZ9MsZiPx+Rc8+d2jWJ1E7/j23zAJhbkT7qn7Edwlhm93tqMplwnx6soXl4zYo3RXM/zCBqNz46eqrfWSRoN8jYYjera1pzhFVLccA4AclXcYCxYX8cLTA5Z62B6isLMFK8zOVVB8frrj1lDpEf4mKS+dpriwEr7Eg1t5gPtnh+huOZ2braVOnq9NYab5nGdFJ+rTEuHtU74ODd/a2/i4zxunN/Bl66zxmjYdJLiUJ3RuC/JjQojtZPWGKnJOMUDo3UUN8X5vADAWJrP74ix/+bcqxtGrDEqjUaFYSduLKEmUsWgnHuRcq5yrnKucq4flmLOhZVTzQeqC3lMvFSuH7PJcyn/Iy1fj5NSOablxTH+ueoic4UlF34mNp3zxbDgTTxFRBaaC/sf0SIisjCUc0VE/KOcy3QDQ0TKgIucW8r/1UZEpJwo54qI+Ec5d6Z5NfEUEREREREREfFTWT6B4Rj3ZRLGDatw0K6dSk9zjW/KqHHunuI62U21ds1TMsfbHU5GKK4J56/ZildwLW1ioInirEep1RujPPcPreHa6UCIt+u2LbfGCIzxOtllXI8ceJfrxAHAHUzwOik+Rk3NgxSbdcQAEK0bp3h6lOuCAz28/wBQvbyb57G5k2JnbITi9mauzwbsOvBY/wWKsw3LrHVyk3x+61v7ea5mzf7JFdYYjrFM0y+9Q7EbTFEcytn1dq7Ln40nZ792ASBi1PWHjXjaGMPN2fc2gw6vEw2U1v1PPVq3eJRzlXNnUs5VzhV/OUZtvldVvmP0mnCtpczz6XW9mcsUo/6/GNeR+b0tVl+ChRp34fnRN8LcxsXtmMfovT81YM99sXpRLO75V869rCxvYIjI1caFW9KNv0REyolyroiIf5RzZyqt2/kiIiIiIiIiIh70BIaILHkugJxbzEfr8r0qTUTk6qWcKyLin+Lm3KWfb8vyBkYmN01xhbGXwaB9AUyOVlPcFONa4zNTXFtdFbYf43lnjOuR243y4+uM98unPepmMxme7Mv9rdYyph3tXPecNsbIGbEzPGAPkuNjktzycYoD/8A10Bc/5FqwiLF/rrF/YwP11hDJ4yspXnbTWxS/dvCXrXW2dJ6nOLH2l3iBINcWtz7zXWuM88e4hvvaD5+jOHyG66QBANV8jCpauIZ99HQ7xcs6eqwhMkaNft+zGylu2fEmxc60fa0mp/jCqowkKfaqxzZNZHgZ81o0vw8AUBfnXgFBpzHvdvzjFrk2MP8xlMuUc5VzZ1LOtSnn5qOcOzeuEeXvbzD3HggL9bj6QvSVWKjeBEun54WpGD0v8vXRWIi+GleaCfPnvPjRR6Rwxcy5Sz/fqoREREREREREREpeWT6BISJXGRdwi/p+7KV/d1pEZMEo54qI+KeoOXfp51vdwBCRJe/ig3V6vZSIiB+Uc0VE/KOcy8ryBkYux+91DxqlU6m0vduTkxUUBxyur6qP8F0vr9qbSmPYtPHu+CHjve/XLeO6YgB489Qqj5Ev21Q7bn12bVMvxZFwmuLXX76e4vff8JQ1RnbLJoqDQ10Uh1uHrXUyQ9XGMqMUp4b55++cucYa4/aP/4jnMcXHKG7UxQNA8lwTxbGun/HP17yP4kjjmDXGyve9RrFj1NtjmPcFANBSR2HubV4nFOXrrnrlBWuIky9s4XVCfF01G5sNNvKYAFBRM0Hx6WNc576skn8OAHVGzTYQpejcaB3Fy1v5mgKA6jj3OYiZXyy5ainnKufOpJyrnCt+m0+PAPO/whbjv+4uVK+CxemB4A+v/xo+13PhlRve+zFa3J4PMy3O+S6d/RdTWd7AEJGrj1vUjvgiIjIb5VwREf8o516mGxgiUgZcuAvWMV1ERJhyroiIf5RzZ9JbSERERERERESk5OkJDBEpC3q0TkTEP8q5IiL+Uc69rCxvYORcbp6VNs53Jmc3zKmqmqR4IMGNzdrj3NjsnbFKe4wQN5mJBHnD1Uajt2ljGwAwkeZGX68Oc9Oy6ma7oUxrOzcui9dx07ma/gaKR4+sssaouK2G4uAEN5BzM/YxCzdzo7bked7OhdPLKb7x+tetMSa7myl2AnwMq2rsBnrR9gGKA139FMdyxgm/tc0aI/0T3r/0y3xcw1u5Gd7FyfI1ElszQnGomn/uJWxcAxcGuTley/F2iiuv67bGCEV4jKowN53L5uxmTvEw71+/0dww6/LDWK7HGEPjfEzqIqXUUO5if2ZZHMq5yrlEOVc5V3w2nyaHC/E4eiHzmM9cy6lpp6kY56Gcj49cpJw7k0pIRERERERERKTkleUTGCJydXEBuK6aG4mI+EE5V0TEP8q5TDcwRKQMuKoNFBHxjXKuiIh/lHNnKssbGK7LtdMtMT7hUymueQaA8fEqis1KU7PmtaPCPnTnpnjc7imuYd5cx/M4PthijfHOGM/juhquo11TN2StU7Oil+LMFNfahqI890DYrukOToxQ7ExNUDx+apm93fed42Ve5NrqaqOWuva6M9YYrx38ZYrNeuU1N71hrRPYwDXMuTcGeYGxUxQ6N6ywxohcN0Vx+jgfs8QL9vmN3RqnOLvhBoqDP3mJ4lR/nTVG8zXnKR6f4PPdc2IlxR1RPh4AEKrg67smyv0Heid5TACoivA1kMlx9Vgiy9eqWRcPADnjW9EcVSKVi5RzlXNnUs5VzpWrlZnJy7s3g2P8M8qFnetFpPjK8gaGiFx91NxIRMQ/yrkiIv5Rzr1MTTxFREREREREpOTpCQwRWfpcvR9bRMQ3yrkiIv5RziVXxQ2MZo+aVpPjcJ3eGbO2ejpC8ftbBqwxAg6/s70xyod32HgP/Plpuy48meWHYq6rGaN4eXO/tU56vILiSAOvY9bWDpxcbo0RfJzrhCtuG6XYzdr12O7ydl6nnrcL45hmxnieAJDK8jEy67GDRu3xxZXCPI9fXk/xxN9OUlzb0WcN4Y5ynWK4jevPQ145ItjAcYDPlZvkeU31GssDiNbwdurrRyhOTPM1MnrOrtmfMHoHLKvnevTRBI8BAMuq+XyeHOdrtS/B17ebM+tYgfEkX68tsfzfK//o/dilRDlXOdeknKucK1eD8u55YVLPC/GPcu5MKiERERERERERkZJ3VTyBISLlTe/HFhHxj3KuiIh/lHOZbmCISBlwAT1aJyLiE+VcERH/KOfOdFXcwBhL8/vWu8drrGU2dh6nOGLUMK+qnOYxkx611MZ73muM2uKzU1wnWxu276SNpXmMgFHTHI3zPAAgm+Ra2nz117Wtdi15/NpeivsObKS4+X1vWus4p3g7sWV8TNJjlRQnh2qtMZrqRijOGvXoo+/ateNNm85RHDz6BsW1v27UMI/ax9md5msicaGR4vgH7brGXEMTxallmymuWPMqxdELXBcOAKkJrkmfnopTPDU9ewwAFcY10Ng0RHH1EM8TAAYnuYbbde1665nilfZ1ZjK/VyK/oJyrnGtSzlXOFRERKYar4gaGiJQ/dWcWEfGPcq6IiH+Ucy/TDQwRKQPqziwi4h/lXBER/yjnzqS3kIiIiIiIiIhIydMTGCJSJnRnWkTEP8q5IiL+Uc79Bd3AuIJUjhtuTWZCxs/th1fW1Q1TfGK0juIs91/DaAENuZri3JQsEktaywTC3PxsqsdojlbFY6SnubEdADjGR1NG47P+wxvsud2Xojh48l1eIDhO4eCJDmuMyuoJ67OZ0gm7cR9yeb7AKZ5X6pg9xnRvG8XRhjGKE9v/0N5saoTiin/5Ni8wYZ8bUyYVpjhewY3bolEe42zvMmuMgQluiLjGaFy4rI4bzAHAu/2tFNdH+Bj1THsc56VGtYFLmnKucq61WeXc0qacKyLiH+XcS95TCcnBgwexbt06dHZ2Yu/evcWak4iIeFDOFRHxj3KuiEjpmfcNjGw2iwceeABPPfUUjh07hkcffRTHjh0r5txERAp0sblRsf6UIuVcESkdyrkiIv4pXs4tB/O+gXH48GF0dnZi9erViEQiuOeee3DgwIFizk1EZA5yRfxTepRzRaS0KOeKiPinfPPtXM27B0Z3dzdWrFhxKe7o6MALL7xgLbdv3z7s27cPABCNRrF58+b5bnLevgt7Xqb//hbXRvcHDqC5uXluGzKvieo8cQGeyRgfvBGhsL+/f+7z9PLq9cYHZm2xR+34H8SNDzbNuon+/j6Puc7jHtpX1859nbz45PT//UMFHNfWPHEhzBNsOjPrT/v7+9GcM+fpURce5F4BqMCs8Xff8jjfwbc45rJ/3Ny49QqzvKgY1+qpU6fe0/pLmXKuB+XcWTehnOtFOXculHOXRs6dq6LlMR9orsW3VOYJXH1zvZpz7lzM+waG67rWZ47jWJ/t2bMHe/bsAQBs27YNR44cme8mfbVU5rpU5glorgthqcwT8GGuHjlpoRw8eBC///u/j2w2i9/+7d/Ggw8+uODbVM4tDUtlnoDmuhCWyjwB5dz3qpxz7lKZJ6C5LoSlMk9AcyUllHNd18Xv//7v48knn0RFRQX+5//8n7jppv9/e/cX0vT+x3H85VHo4kB/LlpaRks2c67551jqZU3UsJiUYkahZHVhVxEU3UUQLoKgIkOsLowuRlcZiUOzqDBFUAsyiGEKmlKaWiamOd+/i0P7VSd3duz73fczez26yeG214U+L7742fevoM8dGxvD3r170d/fD7PZjNu3b2PVqlUAALfbjRs3biA6OhqXL19Gfn5+0H2LPkISHx+PgYGBwNeDg4NYu3btYl+OiOgXiKb/gjHqXDSbS0TqYHOJiMInPL0FQmtuY2MjfD4ffD4famtrUVlZ+a/PPXfuHHJycuDz+ZCTkxP4YOSXL1/C4/Ggp6cHXq8XR48ehd/vD7px0Rcwtm7dCp/Ph76+PszOzsLj8cDlci325YiIIoJR56LZXCL6HbG5REThE0pz6+vrUVZWhqioKGRnZ2NiYgLDw8NBn1tfX4/y8nIAQHl5Oe7cuRN4vLS0FMuWLcPGjRthsVjQ0dERdOOij5DExMTgypUryM/Ph9/vR0VFBez24Odxv/6JXSSIlK2RshPgVj1Eyk5A3635+fkYHR3V7PWmp6exZcuWwNff/olwqOeitcbmqiFSdgLcqodI2Qmwub9qKTc3UnYC3KqHSNkJcOtXWjY3WG+B0Jr7s+958+ZN0Oe+ffsWcXFxAIC4uDi8e/cu8FrZ2dn/eK1gFn0BAwAKCgpQUFAQ8vfzh1B7kbIT4FY9RMpOQN+tXq9Xt9f+UajnovXA5hovUnYC3KqHSNkJsLlaWKrNjZSdALfqIVJ2Atz6lWrNXeh7FtPrxTxn0UdIiIh+RzwXTUQUPmwuEVH4hNLchb4n2HPXrFmD4eFhAMDw8DBMJlPI7/cjXsAgIvoPeC6aiCh82FwiovAJpbkulws3b96EiKC9vR0rVqxAXFxc0Oe6XC7U1dUBAOrq6lBYWBh43OPxYGZmBn19ffD5fMjMzAy6MSwXMLxeLzZt2gSLxRL4xFFVVFRUwGQyfXff7rGxMeTm5sJqtSI3Nxfj4+NBXiF8BgYGsH37dthsNtjtdly6dAmAens/f/6MzMxMpKamwm634/Tp00ru/Jbf70d6ejp27doFQN2tZrMZDocDaWlpgfNrKm6dmJhAcXExkpKSYLPZ0NbWpuTOxfj2XLTNZkNJScm/nosONzZXG2yufthcbbG5xmJztcHm6ofN1dbv2NyamhrU1NQA+Pt4XUJCAiwWC44cOYKrV68GfS4AnDp1Cs3NzbBarWhubg7cXtVut6OkpATJycnYsWMHqqurER0dHXyk6Gxubk4SEhKkt7dXZmZmJCUlRXp6evR+25A9evRIOjs7xW63Bx47ceKEuN1uERFxu91y8uRJo+Z9Z2hoSDo7O0VE5OPHj2K1WqWnp0e5vfPz8zI5OSkiIrOzs5KZmSltbW3K7fzWhQsXZN++fbJz504RUfdnYMOGDTIyMvLdYypuLSsrk2vXromIyMzMjIyPjyu5cylic7XD5uqHzdUWm2scNlc7bK5+2FxtsbnG0v0CxtOnTyUvLy/wdVVVlVRVVen9tv9JX1/fd2FPTEyUoaEhEfk7pomJiUZNC8rlcklTU5PSe6empiQ9PV3a29uV3TkwMCBOp1NaWloCYVd168/CrtrWDx8+iNlslvn5+e8eV23nUsXm6ofN1Qabqy0211hsrn7YXG2wudpic42n+xGShW6zorKFbvOikv7+fnR3dyMrK0vJvX6/H2lpaTCZTMjNzVV2JwAcO3YM58+fxx9//P/XQdWtUVFRyMvLQ0ZGBmprawGot/X169dYvXo1Dh48iPT0dBw+fBhTU1PK7Vyq2Fx9sLnaYXO1xeYai83VB5urHTZXW2yu8XS/gCEG3v5qqfr06ROKiopw8eJFLF++3Og5PxUdHY1nz55hcHAQHR0dePHihdGTfurevXswmUzIyMgwekpIWltb0dXVhcbGRlRXV+Px48dGT/qHubk5dHV1obKyEt3d3fjzzz+VOxO8lLG52mNztcPmao/NNRabqz02VztsrvbYXOPpfgEjEm9/tdBtXlTw5csXFBUVYf/+/dizZw8AtfeuXLkS27Ztg9frVXJna2sr7t69C7PZjNLSUjx48AAHDhxQciuAwO+OyWTC7t270dHRodzW+Ph4xMfHIysrCwBQXFyMrq4u5XYuVWyutthcbbG52mNzjcXmaovN1Rabqz0213i6X8CIxNtfLXSbF6OJCA4dOgSbzYbjx48HHldt78jICCYmJgAA09PTuH//PpKSkpTbCQButxuDg4Po7++Hx+OB0+nErVu3lNw6NTWFycnJwP+bmpqwefNm5bbGxsZi/fr1ePXqFQCgpaUFycnJyu1cqthc7bC52mNztcfmGovN1Q6bqz02V3tsrgLC8UEbDQ0NYrVaJSEhQc6ePRuOtwxZaWmpxMbGSkxMjKxbt06uX78uo6Oj4nQ6xWKxiNPplPfv3xs9U0REnjx5IgDE4XBIamqqpKamSkNDg3J7nz9/LmlpaeJwOMRut8uZM2dERJTb+aOHDx8GPtxIxa29vb2SkpIiKSkpkpycHPhdUnFrd3e3ZGRkiMPhkMLCQhkbG1Ny51LF5mqDzdUXm6sdNtdYbK422Fx9sbnaYXONFSXyk8N7REREREREREQK0f0ICRERERERERHRr+IFDCIiIiIiIiJSHi9gEBEREREREZHyeAGDiIiIiIiIiJTHCxhEREREREREpDxewCAiIiIiIiIi5fECBhEREREREREp73/Lkeqg9wlGTgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# convert to astra geometries\n", "ig_astra, ag_astra = convert_geometry_to_astra(ig, ag)\n", "\n", "# projection id\n", "proj_id = astra.create_projector('line', ag_astra, ig_astra)\n", "\n", "# matrix id\n", "matrix_id = astra.projector.matrix(proj_id)\n", "\n", "# Get the projection matrix as a Scipy sparse matrix.\n", "W = astra.matrix.get(matrix_id)\n", "\n", "sino_astra = (W*phantom.array.flatten()).reshape((len(ag.angles), N))\n", "\n", "#show\n", "show2D([sino_astra, sino.array, np.abs(sino.array-sino_astra)], num_cols=3, cmap=\"inferno\")\n", "\n", "# print(\"Norm of A_cil = {}\".format(A.norm()))\n", "\n", "mat_cil = MatrixOperator(W.T*W)\n", "\n", "# print(\"Norm of astra mat = {}\".format(np.sqrt(mat_cil.norm())))\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "44b3dc80-e289-4bf6-95ea-25803acf83d2", "metadata": {}, "outputs": [], "source": [ "alpha = 50." ] }, { "cell_type": "code", "execution_count": 6, "id": "96bf3cb4-c1ed-45cd-a8dd-833e567ffaaa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "===============================================================================\n", " CVXPY \n", " v1.1.15 \n", "===============================================================================\n", "(CVXPY) May 15 04:22:11 PM: Your problem has 4096 variables, 1 constraints, and 0 parameters.\n", "(CVXPY) May 15 04:22:11 PM: It is compliant with the following grammars: DCP, DQCP\n", "(CVXPY) May 15 04:22:11 PM: (If you need to solve this problem multiple times, but with different data, consider using parameters.)\n", "(CVXPY) May 15 04:22:11 PM: CVXPY will first compile your problem; then, it will invoke a numerical solver to obtain a solution.\n", "-------------------------------------------------------------------------------\n", " Compilation \n", "-------------------------------------------------------------------------------\n", "(CVXPY) May 15 04:22:11 PM: Compiling problem (target solver=MOSEK).\n", "(CVXPY) May 15 04:22:11 PM: Reduction chain: Dcp2Cone -> CvxAttr2Constr -> ConeMatrixStuffing -> MOSEK\n", "(CVXPY) May 15 04:22:11 PM: Applying reduction Dcp2Cone\n", "(CVXPY) May 15 04:22:11 PM: Applying reduction CvxAttr2Constr\n", "(CVXPY) May 15 04:22:11 PM: Applying reduction ConeMatrixStuffing\n", "(CVXPY) May 15 04:22:12 PM: Applying reduction MOSEK\n", "(CVXPY) May 15 04:22:12 PM: Finished problem compilation (took 6.408e-01 seconds).\n", "-------------------------------------------------------------------------------\n", " Numerical solver \n", "-------------------------------------------------------------------------------\n", "(CVXPY) May 15 04:22:12 PM: Invoking solver MOSEK to obtain a solution.\n", "\n", "\n", "Problem\n", " Name : \n", " Objective sense : max \n", " Type : CONIC (conic optimization problem)\n", " Constraints : 8066 \n", " Cones : 3970 \n", " Scalar variables : 21765 \n", " Matrix variables : 0 \n", " Integer variables : 0 \n", "\n", "Optimizer started.\n", "Problem\n", " Name : \n", " Objective sense : max \n", " Type : CONIC (conic optimization problem)\n", " Constraints : 8066 \n", " Cones : 3970 \n", " Scalar variables : 21765 \n", " Matrix variables : 0 \n", " Integer variables : 0 \n", "\n", "Optimizer - threads : 20 \n", "Optimizer - solved problem : the primal \n", "Optimizer - Constraints : 4097\n", "Optimizer - Cones : 3970\n", "Optimizer - Scalar variables : 21765 conic : 17669 \n", "Optimizer - Semi-definite variables: 0 scalarized : 0 \n", "Factor - setup time : 1.81 dense det. time : 0.00 \n", "Factor - ML order time : 0.69 GP order time : 0.00 \n", "Factor - nonzeros before factor : 7.62e+06 after factor : 8.39e+06 \n", "Factor - dense dim. : 2 flops : 2.30e+10 \n", "ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME \n", "0 4.9e+01 6.6e+01 2.0e+05 0.00e+00 -1.000000000e+00 1.984500000e+05 1.0e+00 1.97 \n", "1 2.2e+01 3.0e+01 1.3e+05 -9.59e-01 -2.766915462e+03 1.908257894e+05 4.5e-01 2.27 \n", "2 1.5e+01 2.0e+01 1.0e+05 -9.10e-01 -5.180417132e+03 1.838848710e+05 3.0e-01 2.51 \n", "3 1.3e+01 1.7e+01 9.5e+04 -8.65e-01 -3.512507478e+03 1.840076679e+05 2.6e-01 2.71 \n", "4 7.7e+00 1.0e+01 6.9e+04 -8.46e-01 -1.046589718e+04 1.672586300e+05 1.6e-01 2.91 \n", "5 6.0e+00 8.1e+00 5.9e+04 -7.45e-01 -4.465478577e+03 1.675816914e+05 1.2e-01 3.11 \n", "6 3.3e+00 4.4e+00 3.7e+04 -6.83e-01 -1.106457642e+04 1.392270367e+05 6.7e-02 3.31 \n", "7 1.9e+00 2.5e+00 2.3e+04 -4.65e-01 -3.390794239e+02 1.261191156e+05 3.9e-02 3.50 \n", "8 6.2e-01 8.3e-01 6.8e+03 -1.78e-01 5.564239659e+03 7.032659851e+04 1.3e-02 3.69 \n", "9 8.0e-02 1.1e-01 3.6e+02 4.82e-01 3.706352281e+04 4.742101727e+04 1.6e-03 3.99 \n", "10 7.2e-02 9.7e-02 3.1e+02 1.02e+00 3.760792191e+04 4.688409187e+04 1.5e-03 4.19 \n", "11 4.8e-02 6.4e-02 1.6e+02 1.08e+00 4.080044122e+04 4.673216701e+04 9.7e-04 4.40 \n", "12 3.0e-02 4.1e-02 8.4e+01 1.02e+00 4.177797985e+04 4.552375390e+04 6.2e-04 4.58 \n", "13 7.9e-03 1.1e-02 1.1e+01 1.05e+00 4.411641083e+04 4.506652203e+04 1.6e-04 4.78 \n", "14 3.6e-04 4.8e-04 9.1e-02 1.01e+00 4.481875539e+04 4.486143967e+04 7.3e-06 5.09 \n", "15 2.4e-04 9.6e-01 5.2e-02 1.00e+00 4.483175010e+04 4.486056928e+04 4.9e-06 5.32 \n", "16 4.1e-05 1.6e-01 4.4e-03 1.00e+00 4.485298708e+04 4.485793316e+04 8.4e-07 5.65 \n", "17 2.3e-05 3.1e+00 1.8e-03 1.00e+00 4.485483002e+04 4.485753225e+04 4.6e-07 5.90 \n", "18 3.6e-06 8.1e-01 1.1e-04 1.00e+00 4.485670704e+04 4.485713350e+04 7.3e-08 6.19 \n", "19 2.4e-06 8.7e+00 6.2e-05 1.00e+00 4.485683101e+04 4.485711520e+04 4.9e-08 6.42 \n", "20 3.7e-07 2.6e+00 3.8e-06 1.00e+00 4.485703960e+04 4.485708339e+04 7.5e-09 6.68 \n", "21 6.3e-08 1.5e-01 3.2e-07 1.00e+00 4.485707007e+04 4.485707886e+04 1.3e-09 6.93 \n", "Optimizer terminated. Time: 8.10 \n", "\n", "\n", "Interior-point solution summary\n", " Problem status : PRIMAL_AND_DUAL_FEASIBLE\n", " Solution status : OPTIMAL\n", " Primal. obj: 4.4857070070e+04 nrm: 1e+04 Viol. con: 4e-06 var: 0e+00 cones: 0e+00 \n", " Dual. obj: 4.4857078862e+04 nrm: 2e+04 Viol. con: 0e+00 var: 9e-08 cones: 4e-11 \n", "-------------------------------------------------------------------------------\n", " Summary \n", "-------------------------------------------------------------------------------\n", "(CVXPY) May 15 04:22:20 PM: Problem status: optimal\n", "(CVXPY) May 15 04:22:20 PM: Optimal value: 4.486e+04\n", "(CVXPY) May 15 04:22:20 PM: Compilation took 6.408e-01 seconds\n", "(CVXPY) May 15 04:22:20 PM: Solver (including time spent in interface) took 8.286e+00 seconds\n" ] } ], "source": [ "N, M = ig.shape\n", "u_cvx = cvxpy.Variable(N*M)\n", "fidelity = cvxpy.sum_squares(W@u_cvx.flatten() - noisy_sino.array.flatten())\n", "constraints = [u_cvx>=0]\n", "\n", "regulariser = (alpha/ig.voxel_size_x) * cvxpy.tv(cvxpy.reshape(u_cvx, (N,M))) \n", "obj = cvxpy.Minimize( fidelity + regulariser)\n", "prob = cvxpy.Problem(obj, constraints)\n", "\n", "res = prob.solve(solver = cvxpy.MOSEK, verbose = True)\n", "# res = prob.solve(solver = SCS, verbose = True, eps=1e-3)" ] }, { "cell_type": "markdown", "id": "9042e33c-b4bf-412f-a2b7-a063b71f2075", "metadata": {}, "source": [ "### ISTA algorithm" ] }, { "cell_type": "code", "execution_count": 7, "id": "578611a0-0b1b-4a4c-bd02-21528cc2fa63", "metadata": {}, "outputs": [], "source": [ "initial = ig.allocate()\n", "\n", "f = LeastSquares(A, noisy_sino)\n", "g = alpha * TotalVariation(max_iteration=50, tolerance=0, lower=0)\n", "\n", "ista = ISTA(initial = initial, f = f, g = g, max_iteration=500, update_objective_interval=1) \n", "ista.run(verbose=0)" ] }, { "cell_type": "markdown", "id": "c84be766-88b5-45d2-b270-a7f8b16dfcf0", "metadata": {}, "source": [ "### FISTA algorithm" ] }, { "cell_type": "code", "execution_count": 8, "id": "1f552e67-29dc-4640-b33c-16ce0007f0b2", "metadata": {}, "outputs": [], "source": [ "fista = FISTA(initial = initial, f = f, g = g, max_iteration=500, update_objective_interval=1) \n", "fista.run(verbose=0)" ] }, { "cell_type": "code", "execution_count": 9, "id": "a59fd2f0-32ba-4be0-8126-a8c2f6b62d13", "metadata": {}, "outputs": [ { "data": { "image/png": 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7uBPgkl+D5yP45B+hDU4ppSLIUcm9MNua+jegxbLbM+waa773jx6FpgAX/1BKqSjjrOSe5UvuXay7gzUlwTf/E/ath2X3hyYwpZSKMEcl96JQ9NwBhkyBkktgxcPQEMQXhVJK2cRRyb17WiKZKQnB3VT1GfNj+LISFv80+HMppVSEOSq5g1WaCbrnDtDvfBg1E9b8HQ7tDP58SikVQc5L7tmp7OrKFARtOf82cCfB/Jt1tSalVEwJS3IXkXQRWS0iE8Nx/o4UZVs9dxOKZNy9AC77LexYBlsWBX8+pZSKkICSu4g8LiKVIrKh1fbxIrJFRLaJyF1+H/0XMC+UgQaqMDuN443N7D96PDQnPPM6yCmBhXdAzcHQnFMppcIs0J77XGC8/wYRcQOzgQnAYGC6iAwWkXHAJmBfCOMMWMtwyFDcVAVrUrGpT8CxfbD0z6E5p1JKhVlAyd0YswRo3W0dBWwzxmw3xtQDzwKTgYuAc4Frge+LSJvXEJGZIrJKRFbt37+/yw1ozfcg085Q3FT16T0MzvwuLJ8NXywN3XmVUipMgqm55wO7/N57gHxjzD3GmNuBZ4BHjDHNbR1sjJljjCk1xpTm5eUFEcaJfIt2BPUgU1sm/BF6FOqc70qpmBBMcpc2trXcxTTGzDXGLOzwBCGeFRIgJdFNz8zk0AyH9JeUDpfeB3vXw9u/Ce25lVIqxIJJ7h6g0O99AbAnuHBCozA7LbRlGZ/BV1g3WJf/L+zbGPrzK6VUiAST3FcCA0SkWESSgGnAgs6cINRT/voUZad1bbm9QIz9BaRlwz9n6KIeSqmoFehQyDJgOTBQRDwicpMxphGYBSwGNgPzjDFR0Z0tzEql4nAtDU1tlvuDk9ETrngQDmyFJX8M/fmVUioEEgLZyRgzvZ3ti4AuP90jIpOASSUlJV09RZsKstNoNrDnUC19c9JDem4ATrsURnwXlvwJBlwGhSNDfw2llAqCo1Zi8vGNdQ9baQZgwh8gsw/M/wHUhe6GsFJKhYKj1lD18Q2H7PJi2YFIzoSpj0H1F/DmL8N3HaWU6gJH9tx7d0/B7ZLw9twB+p4H594Cqx6HjfPDey2llOoEx80KCZDgdtGrW0r4kztYo2cKRsKC23RqYKVU1HBkWQas0kxYyzI+CUlw9SNgmuHFH0BzU/ivqZRSJ+HIsgxAQVYauyPRcwfILoZv/Tfs/ADe/5/IXFMppTrgyLIMWD33vUfqqG8Mw1j3tgz7jrX26ru/g92rI3NNpZRqh6OTe7OBvYfrInNBEfjWXyCzt/X0am11ZK6rlFJtcHDN3TfWPQJ1d5/UHvDtuXCkAl66VZfmU0rZxsE1d99Y9wjV3VsuXAqX/ga2/Mua/10ppWzg2LLMV2PdI9hz9znnZjh9ovVw0+41kb++UiruOTa5R3Sse2sicMXfIOMUeP5GqDsS+RiUUnHNsckdfGPdbUjuYE0LPPUx68GmBbO0/q6UiijH3lAF66ZqyBbK7oqic2HcL2HTy7DiIfviUErFHcfeUAXI75HCviN1NIZjXvdAnfdDq/7++s/As8q+OJRSccXRZZle3a2x7pVHj9sXhAhMnm1ND/z8DVB7yL5YlFJxw9HJvXePFAAqDttUd/dJ7QFTH4cje2DBD7X+rpQKO0cn9z7drbHuew5F6CnVjhSOtGaQ3LwAVj1mdzRKKYdzdHKPmp67z+hZUHIJvPZT2POJ3dEopRzM0aNluqUkkpGcEB09dwCXC656GNJz4Z/X6/J8SqmwcfRoGbCeVI2anjtAeg5MfQIOe+BlnX9GKRUeji7LAPTqnhK5mSEDVXSONf598yuw8lG7o1FKOZDjk3uf7qnsibbkDnDurVb9ffE9sHeD3dEopRzG8cm9d48UDhw7HrlFOwLlcsGV/wepWdb49/ov7Y5IKeUgjk/ufbqnYgzsOxKFvfeMPLh6Dhz4DF690+5olFIO4vjk7hsOuedQFN1U9XfqBfCNn8DHT8Pa5+yORinlEM5P7t4HmSqise7uc+Hd0Pd8WHg77N9idzRKKQcIeXIXkUEi8pCIPC8i/xHq83dW7+7enns0DYdszZ0AUx6DxDRr/dWGKI5VKRUTAkruIvK4iFSKyIZW28eLyBYR2SYidwEYYzYbY24GrgFKQx9y56QnJ9AtJYGKaHmQqT3delsPOFVugjfutTsapVSMC7TnPhcY779BRNzAbGACMBiYLiKDvZ9dAbwPvBWySIPQp0dqdD3I1J4B46whkh/NgU8X2R2NUiqGBZTcjTFLgIOtNo8Cthljthtj6oFngcne/RcYY84DvtveOUVkpoisEpFV+/fv71r0ASrISmXXwRhI7gDjfgG9hllPrx7ZY3c0SqkYFUzNPR/Y5ffeA+SLyIUi8lcReRhot/tpjJljjCk1xpTm5eUFEcbJFeem80XVlzQ3x8Cj/gnJ1vTAjXXw4kxobrI7IqVUDAomuUsb24wx5l1jzI+MMT8wxszu8ARhnjjMpzg3g/rG5ui+qeovdwBc/t9QvhSW/MnuaJRSMSiY5O4BCv3eFwCdqiNEYuIwsHruAOUHbFxPtbPO/C4Mnw7v/h6+WGJ3NEqpGBNMcl8JDBCRYhFJAqYBCzpzgkj13AeckgHA5oojYb1OyF3+35BTAi/+AGpa3/JQSqn2BToUsgxYDgwUEY+I3GSMaQRmAYuBzcA8Y8zGzlw8Uj333IxkCrNTWbOzOqzXCbnkDJjyKHy5H165TacHVkoFLCGQnYwx09vZvogObpqejIhMAiaVlJR09RQBO6soixXbY7D322cEjP25NfZ9zd/h7OvtjkgpFQMcv1iHz5mFPdh7pC5655jpyOgfQvEF8Op/QeVmu6NRSsUAx88t43NW3yyA2CvNgDU98NWPWGWaf94A9TF0Y1gpZQtHr6Hqb1DvbqQkuli9IwaTO0DmKdb0BPs36/QESqmTipuyTKLbxdl9s1j+eVXYrxU2JWOt6QlWPgJbX7c7GqVUFIubsgzAef1z+XTvUQ4cO253KF039l7oeQa8fAscq7Q7GqVUlIqbsgzA+SW5AHwQy733xBRreOTxozD/B9AcZcsHKqWiQtyUZQCG5ncnMyWBD7YdiMj1wuaUwTD+d/D52/DBA3ZHo5SKQnFVlnG7hHNPzWHZ5zGe3AHOvgEGXwlv/z/YvcbuaJRSUSauyjIA5/fPYdfBWnYdjPHhhCIw6X5I72nNHqnDI5VSfuKqLANf1d3f2eKAm5GpWXDl/0LVZ/DGz+2ORikVReKqLANQ0jODM/p04+kPd2CcMFdL/4u8wyMfhU//ZXc0SqkoEXfJXUSYcV4/tu47Fttj3v2N+wX0Hg4v3QKHPXZHo5SKAnGX3AEmDe9DTnoSc5ZutzuU0EhIhqlPQHOjNT2wDo9UKu7F3Q1VgJRENzeOKebdLftjb4739uT0hwl/gB3vw4cdLoCllIoDcXdD1efaUUUkuoX5H++O+LXDZsR34fSJ8NavYe8Gu6NRStkoLssyAFnpSXxzQB6L1lfYHUroiMCkByClBzx/ow6PVCqOxW1yB/jGgFw81Q4Y8+4vPReufhgObIHX7rI7GqWUTeI6uY/ub415X77dIaNmfPpfDOffDmuehE2dWtZWKeUQcZ3cTzslg5z0JD50ypBIfxf/zBoe+cptcHSf3dEopSIsrpO7iDXXzPLtVc54oMmfOxGumgP1X8KCH+ri2krFmbgcCulvdP8cKg7XUV7loLq7T8/T4ZJfwWeL4aNH7I5GKRVBcTsU0ue8/jkALIv1aYDbc87NMOAyeP0eqFhrdzRKqQiJ67IMQHFuOr27p/CBE6YBbouINblYWo4Oj1QqjsR9chcRzuufy/LPq2hudmhdOj0XrnoIqrbBm7+0OxqlVATEfXIHOL8kh+qaBjY5ZSqCtpx6oVWi+ehh2P6u3dEopcJMkzvwzdPycAm8tmGv3aGE19hfQM4AeOH7cGSP3dEopcJIkzuQm5HMef1zWbhuj/OGRPpLSoPvPG0trv2vn+jwSKUcTJO718RhvSmvqmHjHgeXZsAaHnnxz2DLIvjwf+2ORikVJmFJ7iJypYg8IiIvi8il4bhGqI0f0otEt/DiGgfNEtme0bfCaRPgrd9A5Wa7o1FKhUHAyV1EHheRShHZ0Gr7eBHZIiLbROQuAGPMS8aY7wMzgO+ENOIw6ZGWxKVn9OKFNR7qGprsDie8RGDi/0BKN3juOuspVqWUo3Sm5z4XGO+/QUTcwGxgAjAYmC4ig/12+Zn385hw3Tl9OVzbwMJ1DpoGuD3desOUx6Dqc3jtbrujUUqFWMDJ3RizBDjYavMoYJsxZrsxph54Fpgslj8Arxpj1rR1PhGZKSKrRGTV/v37uxp/SJ17ajb989J58oNyZ99Y9Sn+Boy53Zo9UhfXVspRgq255wO7/N57vNt+CIwDporIzW0daIyZY4wpNcaU5uXlBRlGaIgIN44pZv3uw6z4ovX3mENd+FPoNcyaXExnj1TKMYJN7tLGNmOM+asx5mxjzM3GmIfaPTgKJg5rbcpZBWSnJ/GoUxbPPpmEJJjyqFV3f/kWXVxbKYcINrl7gEK/9wVAwE/HRMPEYa2lJLq5dlQRb39aSeXROrvDiYy8gXDZfbDtTfjgAbujUUqFQLDJfSUwQESKRSQJmAYEvPRPNPbcASaP6EOzgVfXO/yJVX+lN8EZV1nDI3cstzsapVSQOjMUsgxYDgwUEY+I3GSMaQRmAYuBzcA8Y8zGQM8ZjT13gAGnZNI/L503N8dRDVoEJv0VehTBC9+D2kN2R6SUCkJnRstMN8b0NsYkGmMKjDGPebcvMsacZozpb4y5rzMXj9aeO8CFA3uyYvtBauob7Q4lclK6WcMjj+2FhT/W6QmUimFxv1hHey4a2JP6pmY+2ObA9VU7UnA2XHg3bHwRPn7a7miUUl0U98vstWdkcRZpSW7e2VJpdyiRN+bHUPxNWPSfULHO7miUUl2gPfd2JCe4GTvoFJ5f7WH2O9tYVR4n494BXG6Y8jikZlvTE9RW2x2RUqqTdFbIDtw+bgDJCS7+tHgL3354OWt2xlGSy8iDa/4OR3bDy7O0/q5UjNGyTAf652Ww/O6xvHnHBWSlJfHg29vsDimyCkfCuF/Bpwvhozl2R6OU6gQty5xEenICJT0zmDaykPe27qfq2HG7Q4qs0bfCaePh9Z+BZ5Xd0SilAqRlmQBNHNaHpmbDaxvj6MEmsMa/X/l/kNkbnvs3OBaHN5iVikGa3AM0qHcmp+am8694mA64tbRsa3m+2mr45wxoarA7IqXUSWjNPUAiwqThfVi+vYote4/aHU7k9R4GV/wVdiyDN39pdzRKqZPQmnsnzDivH5nJCVz32Apmv7ONhqY4m0Fx2DUwaiYsfxA2vGh3NEqpDmhZphOy0pN4+nvnMKBnBn9avIVfv7LJ7pAi79L7oGAUvHQL7G5zHRalVBTQ5N5Jwwp68Mz3z+XG84t56sMdvLc1OlaRipiEJJj2D2scfNk0OLTr5McopSJOk3sX3Tl+ICU9M/jpi+v58ngcTS4GkNETrv0nNNRZT7A21NodkVKqFb2h2kUpiW5+f/VQdh+q5f43t9odTuT1PB2ueggq1loJvrnJ7oiUUn70hmoQSvtlM31UEY8vK2fD7tj7ggra6ZfDt/5sreC08HadokCpKKJlmSDdNf50stISuWf++vgbPQNQeiOMuQPW/B3e+a0meKWihCb3IHVPS+SXV5zBWs9hbvnHGt7bup+m5jhKcCIw9l4Yfi0s+SN88De7I1JKAQl2B+AEE4f1wVNdy1/e2Mobm/bxjQG5PHp9KckJbrtDiwwRmDwb6o/CGz8HccF5s+yOSqm4pj33ELn5gv6svfdSfjFpMEs/O8AjS7bbHVJkuVww9QkYdAW8fg8s+6vdESkV13S0TAilJrm54fxiJgzpxd/e3kb5gS/tDimy3Ilw9RwYfKXVg3/7Pq3BK2UTMVHwP19paalZtco508lWHK5l/P1LSXAJZ/fNYvqoIi46vafdYUVO43F45XZY+wwMnw6THoCEZLujUspxRGS1Maa0rc+0LBMGvbun8uSNoxhR2IP1uw9z05MreWPTPrvDipyEZKsG/42fwNoyeGICHIyzMpVSNtPkHiYjCnvw2IyRvPWTCxiS3507nvuEbZVxNJuky2WNornyIajaBo9cDOvm2R2VUnFDyzIR4KmuYdLf3udIXSPJCS5O75XJ3ZcPYmS/bLtDi4y9G6yHnDwrYfBkuPzP1tw0SqmgdFSW0eQeIbsO1vDMRzupOd7Im5sr2X2olmtKC7hrwiCy05PsDi/8Gupg2QPw3h8gKR0u/jmc9e+QmGJ3ZErFLE3uUaamvpEH3vqMx5Z+QUZKAj8edxpXjsinW2oCImJ3eOG1fyv86w4oXwoZvaw1Ws+eASnd7I5MqZijyT1Kbdl7lF8u2Mjy7VUAZKUlMuO8YmZdXILb5eAkb4yV3N/7o/U7uTuMuBaGfht6Dwe3PlunVCA0uUcxYwwry6v5eGc1q3dU8/qmfZzXP4dvlxawznOYvtlpXDOykLQkhya83avh/f+BrYuhqR66FcBpl0LJOCi+AJIz7I5QqagV0eQuIqcC9wDdjTFTAzkmnpN7a/NW7uJnL2+gvrGZJLeL+qZmctKTuOC0PAqyUsnPSiW/Rxr9ctMoyEqzO9zQ+fIAbHrZWr5v1wpo9i7C3WsYFJRaPfq8QZA7wFqwWykVfHIXkceBiUClMWaI3/bxwAOAG3jUGPN7v8+e1+TeNXsP13Hg2HEG9spknecwjyzZzjrPIfYeqcN/TrLTe2Vy+dDenN4rkx5pSRRkpdKnR6p9gYdKzUHY8QHsXG4l+t2rwfjNuJmaBdmnQrd8yOwN6blWwk/LsT5L7gbJmZCYat28TcoAV4I1B45SDhKK5P5N4Bjwd19yFxE3sBW4BPAAK4HpxphN3s81uYdYQ1Mzew/X4amuZVPFEV7bUMGqHdUnPOHfLyeN3IxkEt0ustITOaVbCj1Sk0hPdpOZkkBGciIZKQlkJCfQLSWh5XV6UgKuaK3zGwOVm6Bys/Uw1MEvoLocjuyGY/ugse7k53AlgjvJmiIh0fsvHnciJKRYE52JgMttfQm4Ek6cNkHEu0+rH39f++IQv+1y4uet/59r+UxO/gV0wrGB/Ks7Sv+bqq+MvgX6X9ylQztK7gEVco0xS0SkX6vNo4Btxpjt3os8C0wGAlo1WkRmAjMBioqKAjkk7iW6XRRmp1GYncbo/jncNKaYqmPHqThcx6GaBtZ6DrGp4giHauppaDRs2XuU97bs58v6k6+SJAIZSVayz/Qm/IyURDJTEshMtt6nJrlJdLu8P9LyOsEtJHlfpyS6SEtKwCXgcgnW94X12+0SUhPdpCRas2UaA0kJLlzePCmIlUex9hX56jhX9um4cga1vG8ZVdTcDA1fQm211eOvrYbjR6D+S2iosZYA9L1uarDq+r4vg6YG67Ux1r8MmpugudH68SVlK1LvSlPGul5zY8dJtuUz431tvtrun8j9j/Xfr/W52vvi8P2Ha0+bHTeDJvwo03g8LKcN5i5dPuC/OrIHOEdEcoD7gDNF5G5jzO/aOtgYMweYA1bPPYg44lpORjI5Gda8LWMG5La5T2NTM1/WN3HseCNfHm/kaF0jR+saOOZ9fayukaPHvdvqvNuON3K4tgFPdU3LtrrGpqiaB6wl0Z+Q7ACSEJKArJbc57/PV9t87+XEw/1e+KdB336BHC+tT9TmcZ2L7Wv7tDre98UYSZEcuhvRtkXwYnc2DGR8GM4bTHJvq/nGGFMF3BzQCUQmAZNKSkqCCEOdTILbRfdUF91TE4M6jzGGpmZDY7OhvqmZhsZm63VjMw1N1uua+iZq6hutzrCBZmNoNgYDNDUZahuaqK1vshKRCPWNzS2f+745mluOg+Zm6/gmYzAGmrzvfZ81eY/x/9IxLb3hE361tMF//xM/O/H4tr7IWo5vdUxbx7V1blrv08nj22ubMSagIk0oRfKLPpJti/QIwu6p4XmIMZjk7gEK/d4XAHuCC0dFMxEhwS0kuGkprSilolMwE4etBAaISLGIJAHTgAWdOUGsL5CtlFLRKqDkLiJlwHJgoIh4ROQmY0wjMAtYDGwG5hljNoYvVKWUUoEKdLTM9Ha2LwIWdfXiWnNXSqnwsHU+dy3LKKVUeOgaqkop5UDac1dKKQfSZfaUUsqBtCyjlFIOFBXzuYvIfmBHFw/PBQ6EMJxYoG2OD9rm+BBMm/saY9pckDgqknswRGRVe7OiOZW2OT5om+NDuNqsNXellHIgTe5KKeVATkjuc+wOwAba5vigbY4PYWlzzNfclVJKfZ0Teu5KKaVa0eSulFIOFNPJXUTGi8gWEdkmInfZHU+oiMjjIlIpIhv8tmWLyBsi8pn3d5bfZ3d7/wZbROQye6LuOhEpFJF3RGSziGwUkdu8253c5hQR+UhE1nrb/Cvvdse22UdE3CLysYgs9L53dJtFpFxE1ovIJyKyyrst/G02xsTkD+AGPgdOBZKAtcBgu+MKUdu+CZwFbPDb9kfgLu/ru4A/eF8P9rY9GSj2/k3cdrehk+3tDZzlfZ0JbPW2y8ltFiDD+zoRWAGc6+Q2+7X9DuAZYKH3vaPbDJQDua22hb3NsdxzHwVsM8ZsN8bUA88Ck22OKSSMMUuAg602Twae9L5+ErjSb/uzxpjjxpgvgG1Yf5uYYYypMMas8b4+irX4Sz7ObrMxxhzzvk30/hgc3GYAESkAvgU86rfZ0W1uR9jbHMvJPR/Y5ffe493mVKcYYyrASoZAT+92R/0dRKQfcCZWT9bRbfaWJz4BKoE3jDGObzNwP3An0Oy3zeltNsDrIrJaRGZ6t4W9zcEskG03aWNbPI7rdMzfQUQygBeA240xR0Taapq1axvbYq7NxpgmYISI9ADmi8iQDnaP+TaLyESg0hizWkQuDOSQNrbFVJu9zjfG7BGRnsAbIvJpB/uGrM2x3HP3AIV+7wuAPTbFEgn7RKQ3gPd3pXe7I/4OIpKIldj/YYx50bvZ0W32McYcAt4FxuPsNp8PXCEi5Vhl1ItF5Gmc3WaMMXu8vyuB+VhllrC3OZaT+0pggIgUi0gSMA1YYHNM4bQAuN77+nrgZb/t00QkWUSKgQHARzbE12ViddEfAzYbY/7i95GT25zn7bEjIqnAOOBTHNxmY8zdxpgCY0w/rP9f3zbGXIeD2ywi6SKS6XsNXApsIBJttvtOcpB3oS/HGlnxOXCP3fGEsF1lQAXQgPVNfhOQA7wFfOb9ne23/z3ev8EWYILd8XehvWOw/um5DvjE+3O5w9s8DPjY2+YNwL3e7Y5tc6v2X8hXo2Uc22as0XxrvT8bfXkqEm3W6QeUUsqBYrkso5RSqh2a3JVSyoE0uSullANpcldKKQfS5K6UUg6kyV0ppRxIk7tSSjnQ/wd2NHMg9wKPWAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.semilogy(np.abs(fista.objective - obj.value), label=\"FISTA\")\n", "plt.semilogy(np.abs(ista.objective - obj.value), label=\"ISTA\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "21882146-e405-43ff-9380-506ea9f38a6a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value of CVXpy = 44857.07859587796\n", "Objective value of ISTA = 44866.927001953125\n", "Objective value of FISTA = 44865.864501953125\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Objective value of CVXpy = {}\".format(obj.value))\n", "print(\"Objective value of ISTA = {}\".format(ista.objective[-1]))\n", "print(\"Objective value of FISTA = {}\".format(fista.objective[-1]))\n", "\n", "# assert ista/fista vs cvxpy\n", "cvx_sol = u_cvx.value.reshape(N,N)\n", "\n", "show2D([ista.solution, fista.solution, cvx_sol, \n", " np.abs(ista.solution.array-cvx_sol), np.abs(fista.solution.array-cvx_sol)], \n", " cmap=\"inferno\", origin=\"upper\",\n", " num_cols=3, title=['ISTA','FISTA','CVX', \n", " 'Diff: ISTA-CVX', 'Diff: FISTA-CVX'])" ] }, { "cell_type": "markdown", "id": "a0783110-2cf6-41bf-ae26-21c751469212", "metadata": {}, "source": [ "### Solve liner system Ax=b (LeastSquares) with ISTA, FISTA, CVX\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "1458f849-1774-45e5-a541-6a779fccb4a1", "metadata": {}, "outputs": [], "source": [ "np.random.seed(10)\n", "n = 100\n", "m = 1000\n", "\n", "A = np.random.uniform(0,1, (m, n)).astype('float32')\n", "b = (A.dot(np.random.randn(n)) + 0.1*np.random.randn(m)).astype('float32')\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "35b338d7-b854-483b-929e-7408cf595298", "metadata": {}, "outputs": [], "source": [ "Aop = MatrixOperator(A)\n", "bop = VectorData(b) \n", "\n", "f = LeastSquares(Aop, b=bop,c=0.5)\n", "g = ZeroFunction()\n", "ig = Aop.domain\n", "initial = ig.allocate()\n", "\n", "ista = ISTA(initial = initial, f = f, g = g, max_iteration=1000, update_objective_interval=1) \n", "ista.run(verbose=0)\n", "\n", "fista = FISTA(initial = initial, f = f, g = g, max_iteration=1000, update_objective_interval=1) \n", "fista.run(verbose=0)" ] }, { "cell_type": "code", "execution_count": 13, "id": "04fa706d-c96f-43e7-ad7d-6b9b6bfb6562", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "===============================================================================\n", " CVXPY \n", " v1.1.15 \n", "===============================================================================\n", "(CVXPY) May 15 04:23:20 PM: Your problem has 100 variables, 0 constraints, and 0 parameters.\n", "(CVXPY) May 15 04:23:20 PM: It is compliant with the following grammars: DCP, DQCP\n", "(CVXPY) May 15 04:23:20 PM: (If you need to solve this problem multiple times, but with different data, consider using parameters.)\n", "(CVXPY) May 15 04:23:20 PM: CVXPY will first compile your problem; then, it will invoke a numerical solver to obtain a solution.\n", "-------------------------------------------------------------------------------\n", " Compilation \n", "-------------------------------------------------------------------------------\n", "(CVXPY) May 15 04:23:20 PM: Compiling problem (target solver=MOSEK).\n", "(CVXPY) May 15 04:23:20 PM: Reduction chain: Dcp2Cone -> CvxAttr2Constr -> ConeMatrixStuffing -> MOSEK\n", "(CVXPY) May 15 04:23:20 PM: Applying reduction Dcp2Cone\n", "(CVXPY) May 15 04:23:20 PM: Applying reduction CvxAttr2Constr\n", "(CVXPY) May 15 04:23:20 PM: Applying reduction ConeMatrixStuffing\n", "(CVXPY) May 15 04:23:20 PM: Applying reduction MOSEK\n", "(CVXPY) May 15 04:23:20 PM: Finished problem compilation (took 9.323e-02 seconds).\n", "-------------------------------------------------------------------------------\n", " Numerical solver \n", "-------------------------------------------------------------------------------\n", "(CVXPY) May 15 04:23:20 PM: Invoking solver MOSEK to obtain a solution.\n", "\n", "\n", "Problem\n", " Name : \n", " Objective sense : max \n", " Type : CONIC (conic optimization problem)\n", " Constraints : 101 \n", " Cones : 1 \n", " Scalar variables : 1002 \n", " Matrix variables : 0 \n", " Integer variables : 0 \n", "\n", "Optimizer started.\n", "Problem\n", " Name : \n", " Objective sense : max \n", " Type : CONIC (conic optimization problem)\n", " Constraints : 101 \n", " Cones : 1 \n", " Scalar variables : 1002 \n", " Matrix variables : 0 \n", " Integer variables : 0 \n", "\n", "Optimizer - threads : 20 \n", "Optimizer - solved problem : the primal \n", "Optimizer - Constraints : 101\n", "Optimizer - Cones : 1\n", "Optimizer - Scalar variables : 1002 conic : 1002 \n", "Optimizer - Semi-definite variables: 0 scalarized : 0 \n", "Factor - setup time : 0.01 dense det. time : 0.00 \n", "Factor - ML order time : 0.00 GP order time : 0.00 \n", "Factor - nonzeros before factor : 5151 after factor : 5151 \n", "Factor - dense dim. : 0 flops : 1.05e+07 \n", "ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME \n", "0 5.0e-01 2.7e+01 2.0e+00 0.00e+00 -1.000000000e+00 0.000000000e+00 1.0e+00 0.06 \n", "1 4.1e-02 2.2e+00 2.6e-01 -8.82e-01 4.040740509e+00 2.474629677e+00 8.1e-02 0.07 \n", "2 8.0e-04 4.3e-02 2.1e-04 5.06e-01 4.402794894e+00 4.419884400e+00 1.6e-03 0.08 \n", "3 1.8e-07 9.7e-06 5.0e-10 1.02e+00 4.365867996e+00 4.365872314e+00 3.6e-07 0.09 \n", "4 2.2e-11 1.2e-09 6.3e-16 1.00e+00 4.365863010e+00 4.365863010e+00 4.3e-11 0.10 \n", "Optimizer terminated. Time: 0.10 \n", "\n", "\n", "Interior-point solution summary\n", " Problem status : PRIMAL_AND_DUAL_FEASIBLE\n", " Solution status : OPTIMAL\n", " Primal. obj: 4.3658630098e+00 nrm: 2e+00 Viol. con: 1e-10 var: 0e+00 cones: 0e+00 \n", " Dual. obj: 4.3658630103e+00 nrm: 1e+01 Viol. con: 0e+00 var: 1e-09 cones: 0e+00 \n", "-------------------------------------------------------------------------------\n", " Summary \n", "-------------------------------------------------------------------------------\n", "(CVXPY) May 15 04:23:20 PM: Problem status: optimal\n", "(CVXPY) May 15 04:23:20 PM: Optimal value: 4.366e+00\n", "(CVXPY) May 15 04:23:20 PM: Compilation took 9.323e-02 seconds\n", "(CVXPY) May 15 04:23:20 PM: Solver (including time spent in interface) took 1.677e-01 seconds\n" ] }, { "data": { "text/plain": [ "4.365863010698794" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z = cvxpy.Variable(n)\n", "objective = cvxpy.Minimize(0.5 * cvxpy.sum_squares(A @ z - b))\n", "constraint = []\n", "p = cvxpy.Problem(objective, constraint)\n", "p.solve(verbose=True, solver=cvxpy.MOSEK)" ] }, { "cell_type": "code", "execution_count": 14, "id": "3a730f45-eeef-4a81-907f-379ff4d9343b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Objective value of CVXpy = 4.365863010698794\n", "Objective value of ISTA = 4.6376729011535645\n", "Objective value of FISTA = 4.3882551193237305\n" ] } ], "source": [ "plt.figure()\n", "plt.semilogy(np.abs(fista.objective - p.value), label=\"FISTA\")\n", "plt.semilogy(np.abs(ista.objective - p.value), label=\"ISTA\")\n", "plt.legend()\n", "plt.show()\n", "\n", "print(\"Objective value of CVXpy = {}\".format(p.value))\n", "print(\"Objective value of ISTA = {}\".format(ista.objective[-1]))\n", "print(\"Objective value of FISTA = {}\".format(fista.objective[-1]))" ] }, { "cell_type": "code", "execution_count": null, "id": "c91f11c3-3b5b-4ae3-b6fb-6e14f8a1f0cc", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:cil_devel_epaps] *", "language": "python", "name": "conda-env-cil_devel_epaps-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 5 }