{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Development notebook for testing the visualization module in QuTiP" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from qutip import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hinton" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "rho = rand_dm(5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hinton(rho);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sphereplot" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "theta = np.linspace(0, np.pi, 90)\n", "phi = np.linspace(0, 2 * np.pi, 60)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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Zh+0Cmari4TJmO0zbFRzdQKSKsqBNijZtHLqIzYssHjkmNQziClHqQ2JwHEMl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UNyjny9TZxpq9XpPTYBzVEpS2NZJh/72Md6jhSNRoM333yzZ3qbyWRIpVIPHIndj/HANDwuEdf7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sphereplot(theta, phi, orbital(theta, phi, basis(3, 0)));" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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053VvRl7neR65XI5SqcTOnTuJoohKpdKdaDC7PCCfz69ZWDabzXsp1i2JMeYk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2Jodl9lpG/kXTpoFTqTPZzrZrTHrOcarxZVL7FJZlUSh4fOM3Znz//S6YHMc5ULfyTsR27nVk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Xz+r+sIH/wAFYyAbYL0oUJ16I4kigvdSUFZEbRoBGWkQXUDClCGG0faKDsNaTkgLXRhYIWC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\nMcYYY4wxxgzyH3cceI9U0ad9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16,4))\n", "\n", "ax = fig.add_subplot(1, 3, 1, projection='3d')\n", "sphereplot(theta, phi, orbital(theta, phi, basis(3, 0)), fig, ax);\n", "\n", "ax = fig.add_subplot(1, 3, 2, projection='3d')\n", "sphereplot(theta, phi, orbital(theta, phi, basis(3, 1)), fig, ax);\n", "\n", "ax = fig.add_subplot(1, 3, 3, projection='3d')\n", "sphereplot(theta, phi, orbital(theta, phi, basis(3, 2)), fig, ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Matrix histogram" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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o+jY+wv7HrmfPhuc42N1f9HE0AV2vPMg9n5nFovd+jWUXjCtGbAm70Y9dXV2l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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matrix_histogram(rho.full().real);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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trc2RI0cqnkeSeyed3Oz3S1tqZxYOh6FUKkVZHXTQhU7srstKIam1vcyipeq6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\nK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60dvW14D1NZLARWV/N4cDDTY2Lo6tv6DWGbPKZSnDlzhq1bt7Jr1y769u1LWloaEyZM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\nEC7t/wEw1xXNNr4UKQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matrix_histogram_complex(rho.full());" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot energy levels" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdMAAADuCAYAAABibe1qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "H0 = tensor(sigmaz(), identity(2)) + tensor(identity(2), sigmaz())\n", "Hint = 0.1 * tensor(sigmax(), sigmax())\n", "\n", "plot_energy_levels([H0, Hint], figsize=(8,4));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Fock distribution" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "rho = (coherent(15, 1.5) + coherent(15, -1.5)).unit()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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oR4fdgRcmWV9VV/asUZIkdfoG/NHAvkOX6m9N8klgNf0C/lPAfkn2YRDsxzBy/76q9tkw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\nLVptkkLSAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_fock_distribution(rho);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Wigner function and Fock distribution" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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DgROApwDn92BbhwE3ZT7fDCwZ6U/S6cDpAEcccUQPNmtmnTjwzSZERJwl6Z3A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\nzMwmgAPfzMxsAjjwzczMJsD/DyMtSKuHRab/AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wigner_fock_distribution(rho);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot winger function" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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5Ir1zVzG6fJHk3FVMxucZj3v0j7JtJEbZsNZRPH3tVx/DRWAwjuiP0qGoVZb1\nIKpuV1RV39Ub1qWGE1+YlxhOlk9ew+o9v0pz6vQkrgc+Zma3AW8nnZe4j3TfTY8Cvg54JvBzWyjP\nQ4A7C+c/DSzd4lukKaFA2IbxaEKsWV1pgTq75Xipmb0ceC7wfcBXks5D/A3wR6Qb173U3f9qh+Wc\nY2a3ALcA3Hjjjft6WhGRM6fWnIS73w38dPa3S58Biq3+Ddll5fLcCtwKcNNNj9twmlV2qRcZo+o9\nVcw5ShYno8sT0aEhjvL1y25XHIY6ShaHTwZJRPq1GDEeR8Tj8mNdNdeDSOci0rmGfNipStybDTdF\nSY/k3FXESTqJnZy7it7xefrneumqp2wSu3eU0DuKiQurnqqWzNapm/w2+euuM/FffMzy0F5I1fLc\nqg0GpTvadtCh9wB/28weQRoOzwG+o9kinQ1xZAsT1VWXLZMeQ2AxEfJjQNTRj6P5lUyBxi9vtI5K\njWTdRnO+QUwYFM5fGU24CERxukR1PJ4QJyPiJGJ8rseVy+lkc3JyVWHCOp3AhjQ4yqIsJPJgyMMh\nTpJpOOSB0DtK6B/FRHHEuePiKqc0IK7O5izKS2KrVG10WAyKuvVdrrsq1Ueuq0fzEe217r6bHgD8\nMPBY4Kride7+DZsWJtsX1A8Bv0W6BPa17v7hTR9Xtis9slh1ePRiY1gxL5rvVrq8K+ryL/uqhmvu\n9oWGqCogqkJi1fLQ4t9VR8nCZHZ5KeyF0VG2bcR5JmNnnG0rMRqkQTgplT0qlDnpx9m2EWmPIQ+F\nqu0lysFQfn3LAjG0DUkoKKB6pVNVfRefP/+rWgKbHutDrX/XrduT+C+kjfebgMvbLw64+22k8xzS\nkHRvqdXny9dVSYcXJpUrm8qNSXEpZVXDVWVZ7yG0odnCr9x+tlVytr++qn0a5X/3XRnNbWF9pXDd\nbCO6dCVSblxocIsT0HFiaQ+lVOY6G9CtfE3MtrQ+jtNALg8hFRWH3Nap8zq9jU16FevQNhK7t25I\nPJF0txy7W9YhB6N4UJrQvERoKGSZ0NBS+VdtL46C+0Oqsmo/Tat2bVFnVyJVjW35dJ39OYXKfq4X\nT3eB0pvuzntxvqGoTp3nj1E8XazvvK6TQp0Xze99t7px19bW7bRuSLyDdJfg2ldTxy0bMgrep2re\nwmb74Ul3mx2el1g81GV4R335+VzV8NGqcCg2WL2504t7gA0pbvsxd0jWJYf7rOpBlRvOqp32FYdm\n6k72lvevVMFxAAAamklEQVT+CjCMjCQ7nR/eteqQpCF16r1eb2K2a/YqobCQdlk3JJ4L3GZm7ybd\n2nrK3X9sW4WSbogjKg82lDYKeShAsTcxf3zkVGhr4dC8QlVIVP2a7U3/z0Kh3HBNjyGRPXyx0dp0\nxGQ82ewxynVbPIZEfj4PrrljSWQHYCrvwrsXRwzj2R5hq3oXVe9FVQ8iP72s3uuaO35HdrqqV6Ge\nRjPWDYl/Q7pE9ZPA3ypcrmWoB6q69wCwfk8kiaO5XXRUTXaGhEKiPDRTbKjO96LAwYaY/2+zBqh8\nOq+D9Hz6Pz9iXW56tLo1TI9Cl5lYukXyLAhmB3sqn86PSAdW2F17NDsqXVQKi+x/sSeXz1nk9Vie\nGypaVfehYF5W93Vp3rt564bEc4BHuftf7KIw0qxiICybvF64X8WQ0/xRyaouq79EteqXbWhoqdxI\nne/Fcw1UPz9dOGxpP7bsdHrIUpsM02Nbj0dzx7oG5o5vPQ2HcenQpktMwyHbTcXskKXpcazzfR8V\nj22dH/t6YjGD8WQ+LCbOYAJjy3dtkXAymjCcWGVYJNmxNZbtLmVV3QNzAXEa5bBQL6G91g2JjwPh\nPZjJwZsPkjQcQsPdoWGnxcuqVY17hyaliwGRB0P+CzYPhn48C4f8dD+O0mAYnUwDwIZXZqez80xG\n+GgIowE+HOLFnfmNhnhh2wiv2MmfJb30f7a9BEkPS3pYtk8n66WnrX9uLhiIEjw5wuMES445F8V4\nnDCMozQgxrP3JA8LiOh5HhLG/eQ9n8Wgzucrij2LUN3Xrf9lvYiyqp5C3cDQfMZ+rBsSP0+6q/D/\ni8U5id/dWqlkL+pOXueN0LKlsJUT2KUd/hVXOy0eB3m1qhU/yxqn4yRa6D3089CIjB4TbHwFG13B\nhidp7yELi2kwnFxiMhwyObk0DQMfDfGTS+npQboD5MlwxGQ460lMBrPTUT/9mkW92X/rH2O9fhoe\nSfrfen3s+HwaFucuECU9PDnGRid4cowPr+C9IyxK6CdHjOMj4sgZjD0LB2b/p+9NxPkeDKN0KKpY\n/0lcPP5D/frP34Piiquq96BKVViUh/dmt128jezfuiHxg9n/Hy9d7sAXb14cadqyIafq2yz2JmKr\nHnZKdxsd6l2ku5leNgxStRy0bkDMeg5W6D1cSUNhPJqdHl7BB5fTnsLlS/jJ/WkYnFzCR0Mml+5l\nMhwxunTCeDhkMhgxHo6moZAHxTj7H/dmX7GolxD1k+llvQvniPoJUS8hvnBVFhIX0sA4uUB0fCHt\nYRxfSIe0ekfYZIQn6cYdMRBFCcQRA6APDMZOPzYGY+hPd7ya1vF54sqJ7TwsTlP/wMJ7MLt9eC4i\nD21pv3WPJ/GIXRVE2m1VbyJd4TofGPPDTcVggLljIBcap9mv23lJ6Vdsby4oqgMibYiyIaZ8DiLK\n5x2yoaRCQDAep/MNFQExuXyJ8aWLaY9hMGJ46fI0HCbDPCjSYaZijyI/Ne1F9HvEvTQYxsMRvQvH\nxL0ek+GI5PxxWivZ0FRaaxeAS9hx+jjeAyZJOhQ2AhKI4yP6MQyA2IGJT9+PclCEAjp/P+rWf/r+\nLr4H6eXhYabQXMSyVU1VNNS0P7VCwsz+7qrbaLipm6qGnE7Tm8gfozjsNHavCAoIhUWuGBqh7QuW\nLW2dX700C4c0LGw2ET0p/CedePbRMJtzKAwtjYb44GRlQEyGI8alHkUeDuPBiLi/+HUbcgIXshro\njbB8bmM0xEbp3If1evhoiEUJTOK0vOM4XVI4SYiiMWOiaRgSWRoW+XGkjeCCgryue/Fse4988nw4\n8YX6L78H6fn5IaZiQOQWwmJFG6+hpvao25N4zYrrNdx0BizrTRSHnZYHBSz2KvLLZnqBY9SUG6bi\n6WLDVPzFWvUrdW4lUpRMgwKySeRRD4qTzP3jbN+wJ/Q4RzQcpg188RX0e0S92aT1ZDiahkR+fd6L\nyIed0v89kgvH6VxFNk+RzlX0ZmVKegvLZotiM8akx4gej322TJlZryK88mxawrlzVe9BMTTK70F6\nffh9yMs5PX3KXoTsV91dhWuY6YCtmsBe1ZtYLyigqlfRi63y0KdF5S2SqxqmcjiEGh6PkjQoovSX\nebqSaJw2xoAlQzie3T4CvNcnIf3FHw3Txr04LwEszE1Acagp/V8Mh6ifkJw/nk1k53MS59L/0bkL\nkPTTIMtWPBWXzVaJjel6puIwYHVQwGJYhJW3Vq86XxnUgfelKiBW9SI01LRfbdtVuLREaDfhC8FQ\n1bvItsSeW/EEEOfHPK5eAtuLqg+BOrt+ecNU3kguxKOEdKVoMt0K1EbZeD9gUZKGxcklPOnjowHe\n6+PDAXZ8gXg0mA1H5cNQpZAoq73CKQuHfIWTJb20nL2jNCCSY8iWwabBNr8RXi6ODLJtKeYuX1hU\nkJ+uX/8QDos6AbGMJrPbRyEhwHpzE8uCIt8SeyEooPBLFsINU/VyzKr9GhUbpjobb48nnj68xcSM\npmExfdWT7OswiWGcYOeT6TwF5y6kk9mlbSN8NCTOjiNRtX1EUb6tBPm2Edmy1+I2E9abBUa+MZ33\njmYb1uUBkYdFtpEdgZ7gXFAXe3nToIC5+aA4ruzRlZe0LguH8vnQsN+qYSb1ItpBISG1VQ07hYIC\nmGuU8uAo9ipmlvcmyju7KzZYxYBYZ7cP04CI4jQcomxL6ijGJ+nqJ89WQJGk5+PjC4WQSDeqA/B1\nQwJmgQCzUIBZMBQ3piuEw9z5LCDS3XIs9hqKyqvPZkEBC3MRpfegameD5XDInyMYFjUCQpPV7aSQ\nkKlVvYnQ5aGhp4VeBCyeh1JgpL9mV5VzVo7Fy/IylY2z5aFEpKuB4qN0OSxZbyIqhMU4Bo5mgQHT\nLbDTB0vvNzcBXmcfToV5hOIuOjw/n102FwzZ/YrDS+WAmL7GqveqavUZBAI7Vfc9mF+xtJ2AWPWc\nsl8KCVlp1bBT8fKqoJj2ImAxLIqXrVWm7H/gl2zZeJKt/JluR5A1nBZDHBNF2VTvJO1ZeDILAC+u\nfBpnpyen38nfwiql4v6aYD4oitdn54s7Ayzu/G/6WkMHjCoMAVa+J2uoEw7586fXheckFra01jBT\nqygkZE6dXXWsExSp9ESwYYqWP1+onNPTK+Yj0rBaDIr0ubPbEGVDMLPA8OywdcUA8MCxujcKCZgG\nQdVt8lBIX4tDufeQnVx2PPJiMEyHmyi9J2sI1f+yZcd1hpM0zNQ+CglZUGfYqU5QAIvDT8w3TMUG\na+1yVjROeRnycpXNBQXMwgJm2xmUJ8+j/uw5lo/CbKwyoEuhkN6udL+lARHo1cGpehGwGMxVq5eq\nAqL8ntQKDvUiGqWQkNrWDYri5XljUAwLINiLKO8ZIvRrt85cxOJj+6xs5cZ26bYa6/d4dm1pOFSF\ndyGo09tUPWb5cQKPXxHM+fOuurx8XYgConkKCakUGnZaFRTAYihUXD69rqIRWDYEEmo06oxrLzzP\nkgZ26f12kBW72j6gHBSwvN7T+1SVb3W91+0lVM5LaB6itRQSErROUEC4V5FfV2wIyoExd/8ajUOo\nUa1ubFY+XGU5Fi6vCJXTBsbCa88vDw65rPfYc5PXhZAuP9bC7t5rPPbCZWsMIdUNCGkPhYQsVTco\n0ttW9yry62Dx+qrbrF3GJY3MOo9Z1eDXDYa6h3KdDfeUL59/vvJrKu4rq97zVDzHjut8VW9und6e\nehHtoZCQlZYFBRAcfqq6TdWv2G3+ktzmsM2qyeL0svW6EsXbFxvCfAVW8bk3rZdQjwG2V+fr9izq\nPL8Col0UElLLsqWxq4af8tvAYqAUrTt0s+v9/Cybf9n4sffcEIbqap3Xs6y+1xnmU0B0i0JCalsn\nKNLbp/+rwiK3LDROXc4Vv5JDE9anCYG6h4Bd/Til81tqdGH18tjTWnf+ZFU5FRDtpJCQtawKClhs\nlNYd9li16mjjYZgaQbVqbmXuNhs0bqcNh3XqYJMQWee51u1pzO6ncGgzhYSsrbzWfuH6QFik952d\nDv1q3/dql1UTuuWVWfntdtnz2ecqoE0ed+Wuv9V76DyFhJzayoMVLQmL9P7V96s75LONRvo0K4Cq\nQmNT60/ubud5d1HX9XseCoguUEjIRlb1KqC64V3+mJuXq67g3mIJD4Xtonyrf3Fv/zm3/bgKh8Ok\nkJCtqDuBu2w+YCvlWPMX/qohsbnb7qAHUed5K2+7hde5qXXLoHDoJoWEbE2dXsXCfRre2nadSd29\n9nC2PZzVYD0rHLpNISFbN7+RWPt2ireOpkOsyxQOh0EhITt1mt7FLp5/27b1etpevnUpGA6PQkL2\notx47KIR22cD1fbGMHiEvo7Xu+xfa0LCzH4K+BZgAPwZ8Dx3v6fZUsmuLGtYgttfqDHa2GnqfdX9\n5LC1JiSAtwAvcfeRmf0k8BLgnzVcJmlA0w1S5NWHKG1K8fClu9R0vUs7neLotrvh7r/t7vmBgt8F\n3NBkeeRsiXw8/WubYtnaWD45bK0JiZLvBX4jdKWZ3WJmt5vZ7XfffdceiyWHposNbxfLLN211+Em\nM/sd4PqKq17m7r+S3eZlwAh4fehx3P1W4FaAm256XLfXWEojDqGRjXy8t6EoObv2GhLu/vXLrjez\n5wLPAp7u3vEF9tJahxAQOQWF7FprJq7N7BnAi4Gvdff7my6PSFcoKGSX2jQn8R+Bq4G3mNkHzOw/\nNV0gEZGzrjU9CXd/ZNNlkMN3SENNIvvQpp6EyM5pWEZkPQoJEREJUkjImXNovYlDez3SLgoJOZMO\npWE9lNch7dWaiWuRfcsb2C5OZiscZF8UEnLmVTW4bQoOBYI0SSEhUqFuw7xJmKjxly5QSIhsQA29\nHDpNXIuISJBCQkREghQSIiISpJAQEZEghYSIiAQpJEREJEghISIiQQoJEREJUkiIiEiQQkJERIK0\nWw45s4r7XerS7jXycnepzNJdCokDsWpHc2pQ5pXrq82BEXpvFRbV9F3YLoVEx9XdC2mbG5Sq17DL\ncq6qs7YERlt2V14uRxs/Q7Ded6Gtr6GNNCfRYadpRNrS8ORW/UpuWuTjvZdl3efcZfmqHruJOlll\n3fK08TW0lUKiozb5gLfly7HOL/qm7aNRaVPDVacsbSprE/c9KxQSHXQIH+x1h8naYlfladvrrKvp\ncjf9/GeBQuKM6tKXq0tlPY1NX9+2x9cPvb7LztrrXZdComO2+YFu6svR9Jdy00a16fLvUpde2yF8\nF7pAISGdcKhf4kN4XYfwGiRMIdEhu/gy6gsuuS59FrpU1q5TSEhnbLNhOJQhJ6333562vKdto5AQ\nkU41kF0q6yFQSHTEvjeYaqsulXXX1IuQfVBIyJnVdCOrwJMuUEhI57RlbqLJRn6bAaewkmUUEiLS\nGQq0/WtdSJjZi8zMzezapstylpzlL18Tw06b1Ld6EbJPrQoJM7sR+Abgz5sui7RbWxq3fZej6XkU\nOXtaFRLAfwBeDHjTBWkbNQ67tc/6PW2waB9N0oTWhISZPRv4jLt/sOmySDdsu5E7bSPclmM/NEU/\nYA7bXo9MZ2a/A1xfcdXLgJeSDjXVeZxbgFsAbrzxxq2VT/ZjYnFrG8vTlq3Okf/aMg8B3QyrLpb5\nEOw1JNz966suN7OvBB4BfNDMAG4A3mdmT3D3z1U8zq3ArQA33fQ4DU1tSRcP67iLMm8SYrtoyLr2\nnnSV6rlaK45x7e4fAh6UnzezTwI3u/vdjRWqhdr8C/zQtKWu1XBJ01ozJyFyWrtqzJtuoHf1/G3Z\nGFG6oRU9iTJ3f3jTZWirtvzC3dShvI5dUeO7X6rvMPUk5CAcam9i2xTMsi6FRAcdWsPVdvuu7668\nv10p5yqH8jp2RSEhjenSss59NSS7fB71IhYpIFZTSHSUPtwisg8KiQ5TUCzqcm+iS72IQ/jsHcJr\n2AeFRMd1/YPe9fJ3gYaZFulzV59C4gDoAz+vi72JLr2HXSprla6Xf98UEgeiyx/8Lpe97dSLmKfP\n2voUEgdk0y/AIX2ButQ4dqnemyyrPt/NUEgcmK5+EbpU7q6UtUtBuUsTizvznrWRQuIAneZL0YYv\nUZe2m9iWNtR7XW0oaxc/113Xyn03yXYUvyChBvPQv0S72v152/c9dchLXlfVfZvKeggUEmdEV744\nbW98t6kr70kbqe72R8NN0jpdGXZqa0N1yL0I2T+FhLRSVxqm05bz0F+fHA6FhLRWVxqoNk2m6oBC\nsm0KCWm1bTVUu57nqLOirEtLMbtSTtk9TVxL6+UNVhcmtLveuHa9/LJ96klIZ2zSgJ2Vxm+TOZKz\nUkeyHvUkpFPqbPux7D5nwTrLiM9a3cj6FBLSWasC4yw3gMuG6M5yvcj6FBJyENTwVVO9yKY0JyEi\nIkEKCRERCVJIiIhIkEJCRESCFBIiIhKkkBARkSCFhIiIBCkkREQkSCEhIiJBCgkREQlSSIiISJBC\nQkREghQSIiIS1KqQMLMXmNmfmNmHzezfNV0eEZGzrjW7CjezpwHPBh7j7lfM7EFNl0lE5KxrU0/i\n+cBPuPsVAHf/fMPlERE589oUEo8CvsbM3m1mbzezx4duaGa3mNntZnb73XfftcciioicLXsdbjKz\n3wGur7jqZVlZHgg8EXg88Itm9sXu7uUbu/utwK0AN930uIXrRURkO/YaEu7+9aHrzOz5wBuzUPhD\nM5sA1wLqKoiINKRNw01vBp4GYGaPAvrA3Y2WSETkjGvN6ibgtcBrzeyPgQHwPVVDTSIisj+tCQl3\nHwDf1XQ5RERkpk3DTSIi0jIKCRERCVJIiIhIkEJCRESCFBIiIhKkkBARkSCFhIiIBCkkREQkSCEh\nIiJBCgkREQlSSIiISJBCQkREghQSIiISpJAQEZEghYSIiAQpJEREJEghISIiQQoJEREJUkiIiEiQ\nQkJERIIUEiIiEqSQEBGRIIWEiIgEKSRERCRIISEiIkEKCRERCVJIiIhIkLl702XYiJndBXyq4WJc\nC9zdcBnWpTLvXtfKCyrzPrSlvA9z9+tW3ajzIdEGZna7u9/cdDnWoTLvXtfKCyrzPnStvBpuEhGR\nIIWEiIgEKSS249amC3AKKvPuda28oDLvQ6fKqzkJEREJUk9CRESCFBJbZGYvMLM/MbMPm9m/a7o8\ndZnZi8zMzezapsuyjJn9VFa/f2RmbzKza5ouU4iZPcPM/tTMPmZmP9p0eVYxsxvN7K1m9pHs8/vC\npstUh5nFZvZ+M/v1pstSh5ldY2a/lH2O7zCzJzVdplUUEltiZk8Dng08xt2/HPjphotUi5ndCHwD\n8OdNl6WGtwBf4e5fBfx34CUNl6eSmcXAq4BnAl8G/G9m9mXNlmqlEfAid/8y4InAD3agzAAvBO5o\nuhBreCXwm+7+aOAxdKDsConteT7wE+5+BcDdP99weer6D8CLgdZPTrn7b7v7KDv7LuCGJsuzxBOA\nj7n7x919ALyB9AdEa7n7X7j7+7LT95E2Xg9ptlTLmdkNwDcDr266LHWY2QOApwKvAXD3gbvf02yp\nVlNIbM+jgK8xs3eb2dvN7PFNF2gVM3s28Bl3/2DTZTmF7wV+o+lCBDwEuLNw/tO0vMEtMrOHA48F\n3t1sSVZ6BekPnEnTBanpEcBdwOuyIbJXm9mFpgu1StJ0AbrEzH4HuL7iqpeR1uUDSbvqjwd+0cy+\n2BtePraizC8lHWpqjWXldfdfyW7zMtLhkdfvs2xngZldBfwy8CPufm/T5Qkxs2cBn3f395rZ1zVd\nnpoS4CbgBe7+bjN7JfCjwD9vtljLKSTW4O5fH7rOzJ4PvDELhT80swnpPlru2lf5qoTKbGZfSfrL\n5oNmBunQzfvM7Anu/rk9FnHOsjoGMLPnAs8Cnt50AC/xGeDGwvkbsstazcx6pAHxend/Y9PlWeEp\nwLea2TcBx8DfMrP/7O7f1XC5lvk08Gl3z3tov0QaEq2m4abteTPwNAAzexTQpx078ark7h9y9we5\n+8Pd/eGkH+CbmgyIVczsGaTDC9/q7vc3XZ4l3gP8bTN7hJn1gecAv9pwmZay9JfCa4A73P3lTZdn\nFXd/ibvfkH12nwP8bssDguy7daeZfUl20dOBjzRYpFrUk9ie1wKvNbM/BgbA97T4l25X/UfgCHhL\n1vt5l7v/QLNFWuTuIzP7IeC3gBh4rbt/uOFirfIU4LuBD5nZB7LLXurutzVYpkP0AuD12Y+HjwPP\na7g8K2mLaxERCdJwk4iIBCkkREQkSCEhIiJBCgkREQlSSIiISJBCQkREghQSIiISpJAQ2SEz+7dm\n9iNr3P4PzezLd1kmkXVoYzqRJczsk8AXAWPgIvCbwA+5+8Ua970O+ADwSHe/XPP5vh34x+7+j05d\naJEtUk9CZLVvcfergK8m3YV23YMdPRe4rW5AZH4VeJqZVe0JV2TvFBIiNWU7aPst0rAAwMwebGa/\nbGZ3mdknzOyHC3d5JvD24mOY2U3ZkNK9ZvYrZvYQM/tUtoM93P0EeC/wjbt/RSKrKSREasqOhPZM\n4GPZ+Qj4NeCDpAcVejrwI2aWN/BfCfxp4f7nstvfSrob+QR4I/AbpZ1B3kF6aEuRxikkRFZ7s5nd\nR3q0uc8D/zK7/PHAde7+Y9mhKD8O/L+ku64GuAa4r/A4TyQNhtdmhzV9HemhTt9cer77svuKNE4h\nIbLa33f3q4GvAx5N2gsAeBjwYDO7J/8jPdrfF2XX/w1wdeFxvgj4lLvnh9v8IOlk+O+Wnu9qoPXH\nPpazQSEhUpO7vx34WeCns4vuBD7h7tcU/q5292/Krv8j0mOf5/4S+ILC+UcDBgxLT/WlpAEi0jiF\nhMh6XgH8PTN7DPCHwH1m9s/M7JyZxWb2FWb2+Oy2twFfW7jvu4BrzOzJ2fnnk4bETfkNzOwYeBzw\nll2/EJE6FBIia3D3u4CfA/6Fu49Jj7f91cAnSA9X+2rgAdnNfw74pmzCmmwp7LcBP5MdwfBe0qPB\n/YKZPSW7z7cAb3P3z+7pJYkspY3pRHbIzH4c+Ly7v6Lm7d8NfJ+7//FuSyZSj0JCRESCNNwkIiJB\nCgkREQlSSIiISJBCQkREghQSIiISpJAQEZEghYSIiAQpJEREJOj/B9LMSxke6tsBAAAAAElFTkSu\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wigner(rho, figsize=(6,6));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot expectation values" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "H = sigmaz() + 0.3 * sigmay()\n", "e_ops = [sigmax(), sigmay(), sigmaz()]\n", "times = np.linspace(0, 10, 100)\n", "psi0 = (basis(2, 0) + basis(2, 1)).unit()\n", "result = mesolve(H, psi0, times, [], e_ops)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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75fXaeaPbGV/A9NXHcbI2Y9O8EbiJN7hedU1gP9bPHUF5XSuTPz6mtQV1P6SW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\nOZra1lpgb2P9/6bIdQvxYGinAO5u7a3qEJiZotJylu89zX/+PsmZqyo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_expectation_values(result);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bloch sphere" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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Dbre3HLvAmwNB+pcJXNfFmVOnoBKCA1NTMA0DNpNBruR8p/nUzF7ktdl7/b/c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ODQUFXhPDAMnKmyWgcK+byeNK0hJ+ByuwmHw/h8PrK5HIlyLB8DTnx883uAXn9Ssn+30RWslGP/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\n5P2WpVKV4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jTKhssv55WXX+bFF1+sGIqo5qGKAtx0k0e6EHD50l1QKPgvVolBC4JAOpPB\nLJUYyWandW21oGka0VjstE5YNRLBtu3QC84XCjz48MPM6unhms2baWtro83XDUomk8RiMaKqiuyH\nf0qW5RWsFQrk8nlyvqLo8PAwQ0NDjIyMMJrNki8UKBSLaLqOYZphziGgHVq2HVaPBj0ImomAgeX6\nxtgOPHDL8iQxSiUMP+xV1DTyhQKjuRwj/rWMjI6SzWbJ5nLkCwWv6MnnwQuC4O2kVJVYLEYiHqcl\nmaTV77OQSCbDNoLlgn1Hjh1j7gTWSdOu13XRdR1ZFBsWGGzwRI29f4pnudr8PNnXR19fH3MvuIBZ\nZa0hq43lgrn1J63vuusuBEHgi1/8YsXX9+3bh6qqXHXVVXUfs9k45zx98EI8Jb+DVSU4vuHKZDJc\ne911PLFjB48/8QTr168f94AI4JWJV3hYo1G4+WaHL9zpPXhf/hL80R+DolSP+aaSSU+GdmiIliZT\nOHU/bNQo77sRRCIRCsUihmmSy+V4ZPt2Ll69miX+Tinkf4siEUnCraGc6ZQZbcf3iB2/CMwMaIa+\nZrpt22G4qBqCVntBfiNcfIWxbmPBfcnm8+Ei78K4BT8o5tH9Xq41W1WW72RE0fPMZXlsJ1P+f5Xv\nOqiIrXoOvGrxwcFBLl+/vur1zwSmaeK4LrFYrKoY4IxR47hVv9WpwmUT/u64Ls+/8AKDw8OsW7uW\ngVOniEaj2LY9/v5POGbPrPqN/qZNmwB44oknKr7+J3/yJ9i2zd/8zd/Ufcxm49w0+qqKgSdAJvlZ\n/XKNk6BCVfYn6JWbNvHc88/z8MMPc8UVV4xtoX0WSyVP0nFdIhGBT9wCt/uhnq9/DX7ztwTaKuwm\nA7RmMqeFwqlpGrFYbMomKzOBLEkosszBQ4fYs3cvmy6/nNk9PWESuxy1RhAkISuxS8qNcODNR6NR\noqoaHjMor3cn/hyMwx2Tri7vN2z5u4Ly5H4gBBYsEII/PsdPWAf3tJwMIHg/hMYdPOdgOve9Eu1w\n4v04duIE3d3dp4U377oumqYh+ongSvrzZxV13lOjVGLHk08iSRJXbdrE0PAwkiQRjUSwLGu8t++6\nFDVvERBFidWr67+va9asIRaLsWPHjkmvff/73+f+++/nQx/6EKtXr677mM3GOWv0XVHEME3ishx6\ngQEsy/ImrL/6C6LIpZdeyv79+9m2bRsbN26kLajYq2DMyhcQUYSPfRzu+Lz3+3f+VeUd77C45OLK\nYztdFM5xCeIZaplUg+M4HDh0iP0HD3LNVVfR0dZW0eDPCGWetSgIXpzbLyCbKQIvtqWOalazVArp\nf3VhuvdgqhAG8OqRI7xp6dJpibNNBcNPyCf8SlxrgrxyM+A6ztTJ/FrP7BTPcy6f57EdO+jp7uai\nFSswfGVYVVVRo9Fx1xQ4Rbt2eY6d53zUfy2KooQMwJMnTzLLV4otFArcdNNNdHV1ceutt9Z/wNOA\ncy6mD354IRbzetWWeS6BJ2ZZ1qTYpSAILFmyhEsvvZRHH32Uo0ePBi9M1l+Z8ADKMnzko2O//9eP\nojz1ZPXxtba2IuCpJTYL5YVZYpVCp+nCdV0s2+bxJ5/k+IkTXLFhA7HTUKLvn2zsR///s5FWdB3n\nNaG7MzI6SlHTmNXdjQjhrqMZuznHcdAMI5QwCYr8mo162FtCPdTbsQOGP/afOsUj27dz4aJFrFq5\nEvCYZaIoIsmyxyQrk54IzvKjn3i7bEluPIcRhHgef/zx8G+33norx44d4/Of/3xTmhjNBGf/qT1L\nSKXTOIzJqYaTxU8CSv4OYOLkmTVrFldt3szOnTvZs2fPJLpete1vLAqfuAUyGQdwuf8B+NGPKo8t\noHAWisXKXX+mgSC8E2CmhjIIjdiup0744EMPUdR13rJlCy2plNeUeqqJOg0EoRMoC6udYTaJi7cr\nqDfnErx/2qhxfQcOHWLh/PlhxWz4EZ8JNRPohoHrumH1bT18+YZRL321nuNMGN+hV1/lqaeeYt3a\ntSxcsADw5gGuG1YglzdYKt8xnDjpNWmfNavxYEhg9IMQz969e7n77rvZuHEj7373uxs+XrNxzhp9\nRVFQVBXDb+4NnkEp+Vu9MD5aYcK1pNNce+219PX28uSTT4YduaZqgCKK8J7f11m71jvH7t1w912V\n35tOp5FFkYHBwabEUYsTqnGryRrUQnCNQWLVdV2KhQL3PfAAqVSKazdvRlGUMORh1FJFnIGhnniP\nz3RFbsPVuPXWIlT7eJW/lyyLo0ePssg3aJM+EySuGXNq6oXtOBi6TqRMd0kUxZkvYNNEXSMPamFc\nlxd37WLfK69w5ZVX0tnRAXg7+KBWxXWcsOYkeG3iAiRKEh/4QONjveKKKxAEIUzmfvCDH8S2bb72\nta+dNZ2ocpyzRh8glkp5jJBAh0MQQtpc8KBX+4qi0ShXXX01AFu3buXU4GB9N9N1uepqi3e9y/tV\n0z11zomujCAIZFpbsUslhmswjepFJd2dakno8cN1cSA09EEiFGBweJh777+fRQsXctnataERVBQF\nSRTRqhj905VIPlMIQhz1evo1QxP1nK/K3189coSuzs5xO7jKAyjbAfiL/VQj0nUdVxDGPTPBAtKU\nZG6jeaU6jeVoLscjv/gFI6OjXHPVVaTK8jOapoWS47Yvlif6tQ7lcf0TJz3JBVmWWLeu/iEGaG1t\nZfny5TzzzDPcc889bN26lfe///1ceumljR/sNOCcNvqReBxREMbpdFu+7HE9K7Ioiqy/7DJWrljB\n4088wTPPPjtOyKkSAmbI0qWM8yI+dxtYEyTpk4kE8XickeHhUPhtupgY3oExeYaK48Q39OAVHEyY\noMdOnGDrtm2sW7Omokpm1NfZr6TV3zRf5ywtHmGbxDoN0UxNZKWzuMCBAwdYtHDhtI5Xy/O3/QY8\n6oRivqB6esaLtuviNjkhbNs2u/bs4Re/+AVz585l08aN4yqHTdPEsu2wYVE5TVOeYPS/+Xc9AEiS\nTKVC3Xpw5ZVXUigUeP/7309HRwef/exnp39xTcY5bfQlSSIaKEsGTUDcyvIMtTBr9mxuuP56RFHk\n5z//OUePHKk6McqreFtb4WM3j712x50wPDz+/W3t7ciSRG9f37Q9LNu2MaooYE709kMa4wSvvhz7\nXnmFJ558kmuvuor5VaqHA3nqmS5WtRCG5c5SeOdMJXIrXd+pU6ewXZeuzs7pHbPs/4nHr6Ys25Tw\nzmn4zvoHBnhg2zbyhQJbrr2WRQsXjq+fcF00XUf2tYiCuge5PGxVNreOHlM9qvZmcdpRyCCun8/n\nue2227wOYK8RnNNGH0BNJBAFAXNCKKJebybgdSuKwiWXXMIVV1zB3n37ePTRR72eulNAVuCTt4z9\n/o1vwMsvj/0uiSLt7e24jsPA4GBdY5qIUqnkVXBWqQQWyiZzrQpW13V55rnn2Pvyy7xly5YwVloJ\nAZ3RMM1JjI+Z+udnOyraSEP0sFZgBqj0+QOHDrFowYKZG8/y+gJRDL38SCQy+XmpUZfS6Pka/liF\nvxmGwVPPPsuzzz3H6osuYsO6dV6zIHe8PIru93oIdrpB0rZSHUjg+4mSxIc+NK2hArDQ34GtX7+e\nP/zDP5z+gU4DznmjL0UiqKrqVXmWVViGk6nBh7StrY0tW7bQ0dHB1q1b2bdv33haKBW8HMEz/JKf\nO/7BD+CBB8ZejsVipFIp8vk8uXy+0UsMhbkqIQjhBEVM1a7Wsm0eefRRTg0N8dbrr6/YYWwiVNXz\nmIyJIa8mhGWEsrj0mV4EHMfxQh11vLeSJ90oJn5aNwx6e3tZ6KvANg2uS7FYRBCEihLcQtn7ZnKO\naX1swj08fOQID2zbhhqJcN0114xTpy1neAUtENVIZDxThzFPv1y/6bvf93ZOsizT1TWtoQJw5513\nIoriayZ5W45z3uiLskzEr6rUKxmnGg9pqPM98ZiiyLJly7j2uuvo7+/nwQcfZMjn3Fc0+gCC13px\nyRLv1yefhK9/ndAtzmQyqIrCwMBAw/1o7Qqc8nJRL6GGsQevsOv+Bx9EkiTefM01U3YoChA0W5kU\n4mnGJChPBJ5pymYDHP2mZB0mXN+hw4eZPWtWQ+0p64FuGNiWRSwW88Tvmn1fm7BY5PN5Hnn0UQ4e\nOsQVl1/OqpUrKxbmBfOyqGkgCOPyWZZlhb0FAgRX+uBDGQRB4Prrp28a77nnHn784x/zgQ98gPWn\nSRpjJjjnjT6AFIuhKApmWShC8MvvZ4JUMsmmTZtYunQpjz72GM89/zz2FE3If+3XINBiGhnxErym\n6Y2no6MDAeir0cS9ElzXRSrjtge0y3LPvtoEH81muff++5nV3c2myy9vuCdsVFVxYPxC1aQE7Fnz\n9KeR92kWXNfl4KFDLF60qKnHdRwH3W8jWL6oh9Re1x3385mG4zi8tG8f2x55hJ7ubq7evJlMJlP1\n/QKE3d+iqjru+bYC9lXwLPvXM5r1fpcVhd/53cbm/pEjR7j99tt53/vex3ve8x5WrlzJHXfc0dAx\nzhTOG31AVJQwFlgqq86balrXE9sUBE+T//rrr8e2LB577DGOHj1aMxl25ZXwzneO/f6FL8DgoEeF\nzGQyGIbB8MhIPZcGjGn4VzL248bqx/YD9A0M8POtW1m1ciWXrF49Lc8voiiIjOfsv74Jm54gXyOF\nWTNG2X3v7esjEonQ1uTEYFHTvEKsCtLMAn6x10wM/nTDOq7LsRMneODBBxkeGeG6a65hyeLF3qJb\n45iOH6qS/Hag5bAtC8mX7QbCRjx/eet8EECJKFQofaiJe++9l1tuuYUf/OAH/Mqv/Ao///nPT5vM\n9UxxTmrvTIQoisixGBFNY3RCyz9BELxuVxMNXp0PcUBxUyMR1q5dS3t7O4cPH2b//v0sXbqUBQsW\nVBTKWrECZs/xRNoAvvUt2LIFNmxoQdd1hoeHicdidTVFsYOG5VOEcQTGmAwHDx/m6eeeY/PGjczq\n6anrWise048PFzXNM5aS1BSlz/LrOJMx00BbqW6jP0XBXp0HCX88cPBg0738UqlEyS9ammonJ9bB\n8Z+Ian0nasFxXY4eO8a+l19GkiQuWrmS7q6uMJcz1fGKxSKu65JMJifdf9MwJve8dSGblZAVhauv\nFhve5N94443ceOONjX3oLOG80fchRqMofqVeOddeEISKD3pDD74ghKJSba2ttLW3UzJN9u3bx969\ne1myZAmLFi2aFJvMpL0E7113g67D1q3w0EPw0ZvaONnXS29/P3PnzKlpgBzH8RrB12l4XNflxT17\neGX/fq6/7jpam6ATElVVT/veMIidDu/nDBr9IAlYL3OnGQtScIRCscjg4CAbLrtsxscM4LouBb/v\n7VT9k4GxkKcoen1Ba11fnTvmcli2zatHjrBv/36SsRgXr1pFR0fHuPzZVDsOXdcplUrEYzFkSRo3\nV21fZiU1wVm6734vEaxEFD75yQYG/DrE+fCOD1EUUeJxZFn2lAUncNdngmB7DCBIEq5t09rayuWX\nX87mzZsZHR3l3nvvZbffUnDih2+6yfPywZtnd9wpg9uObVlVRdmCjkvBZKnH6Nu2zeM7dnD02DHe\ndv31TTH44N9bWfYS5W7ltoevF5T3BDhj8L+7gwcPMm/evKY2MtF0HddxiPtkhinhe+2C606dzG5g\nwStZFntfeYV777+f3r4+Lluzhis3baKzs3N8QdgUBr9kWWi+fESlLl+arsMEdpLruvzkZ7OQZIl4\nXOJ0aQW+VnDe6JdBVlXi8TilUmmc0FngWdTsx1oHXLztcXk8v6WlhfXr13PttddimCb33Xcfz7/w\ngicMVYYNG+C97x37/V/+JcYvHulkdDRLYYIoW5CsDbVIgvBODRiGwdaHHkLXdd66ZQuJ6ZYiVkEw\nyaaqWG4EZ2PxaNTTbwYCIb9Dr746rQrcarBsG8MPdTQiTV1+XbUqe+vJeRmmye69e7nv/vsZGR1l\n08aNbNywYUy6vPycU7Dpwji+JIU7yok1IqZhIEJYreu6Lg//Io0ggBKJcFcVLaw3Es4b/TKIskw0\nmSQiy15HJp9pEzbQKGfANHjs8tL3SpMhkUhw6SWX8Obrr0cQBO5/4AGeeeaZcbz8ri6v/26nXxN1\n5EiUf/yHWezdNxSONeg2NU6CeIq4cr5Q4N4HHvCE5K66yjMATWZoKL7OSbGJFbpC+Xb/DKHewqxm\nFGUFEFyXw6++SiadpqWO+oh6USwWEWCSJlPNscCkZyPkuft/r4cIoek6L+zaxc8feABN07hq82Yu\nW7uWtN9feRJctyabznVdCoUCruuS8OVVoEK1sWGMaxxvWTbf/d5cJElGUWSWL68x6DcIzhv9CVBT\nKSKxGI5tU/CTQTD28MyEJijgST8QyBxUQCwaZfWqVbzlhhuIxmI8tG0bO558khFfdE0Q4H03wm//\njnfESETh3/6tg698zcK2K1fT2n4xUSWcGhzkZz//ORcuXsyGtWvHGsfU0OWZDgRfvCtoedgMuJz5\nB9ix7boKs5pRlBWeE9i7bx/Lly1ryvFgjJMfjcUaC1VVyG+FSp5lz041pyFfKPDsCy9w/4MP4jgO\n111zDWsuuYTkFDvLoMVl1evRdSzLIh6LVU1GW5aFbdvjQjvf+LseEEBVI/z4xzWH8IbBeaM/AZKi\nEFFVJFn2NGvKYuzhVnYGHlywa5hqpxCJRFixfDlvectbyGQyPLp9Ow9u28aBgwcxDIMF8+HP/gxE\nUSAeFThwAP73ByWOHqvwlVYpJjp6/DgPPPQQl61bV1E0rZmGC7zG6aIgNNXbP9OFWY7rjmtIXg3N\n3CcdOXKEWDzetPaZtuOg6XrYRKSZqPS8lEolDh85wiOPPsqDjzyCIstcf911XLxq1dQKod5Ba8fx\n/Sb0qqpWLFgLFiVd0zw2mR+0HxmRePqZFgRBZPkKhdcow7LpOM/eqYBIIoHpy7Dquk5Elr0ErB8m\nmYlqoiRJIIp1b/0VRWHpkiUsWbyY/oEBjrz6Kjt37aKzo4N58+bxsY/N4qWXRL7/fZOhUZ3bPh8n\nnRa57a/1cDtiu5Mbfry0bx879+xhy9VX19TQwQ9HNcO0Bt5+rlAI9YBeb3B8Hfap0LR4vuvy0r59\nYdenZkCrwcmfClM5AUGox3Ec+vv7OXz0KH19fXS0t7NwwQJ6ursbLvCrNVccx6EQxPGrhan8z+u6\njuiLrgF85GOLcF0LVVW5++7XllTC6cR5o18B0WSS/OCgJ7laKlHUNJKp2MwD/AAAIABJREFU1LjQ\nznQndRATdR2HRppvCqJId3c33d3dWJbFiRMnOHzoEE8//TRz5szhxvdfwI9+lGDXHpFsNsaffCTG\ne//A5OLVNm5ZItdxHJ5+7jmOnzzJ266/fpzeeLXxCqLoySs3AVFVJV8soul6U4z+WdHdqWPcTeHn\nA8ePH0eWZbpnIgRTBrNUwjRNotEo0jTDd5We/UCCe3hkhFePHuXosWMkEwnmzZ3LJatWTU8yIsh/\n1RAAzPuihslEovr99p9fwzTDBO93/q0zXKDuvJNpSyi/HnHe6FeALMuI0SiObaNGoyHHPHxwAzYP\njRsdQRRDpULBZ/I0egxZlpk7dy4XXHABmq5z7OhRdu/eybx5JitWtPHjny7HMHr49j944/3wh7xz\nWZbFLx57DMM0+aXrr6+rsAtmtshNOpYgEPcNv2VZFQvT6kaQVD1DIR67geYpzTD4gZe/fOnSph2v\nWCx6jUSmyUsMnt1yFAoFXj1yhCPHjuG6LnPnzuWaq64imUiMsW6mOd5az56m69i2TSKRqPidBGw5\nXK+lp+u6RFWVU4MyW7dlcF2HSERi05X1J7LfCDhv9KtAiccxh4eJJxKYpomuaciSFMZzgynYqEcn\n+L1M3TKD1SjLI+Deu3hUyAuXLOHCJUvIZrMcPnyYKzc9TKEo8uqR5QwNLeb2O+Yxd66NVnyAlpYW\nNm/a1BDXWwBPxsG2m2J8VFWloOtomlaXWueUOEN6MPV2zGrWSIIeCrNmz25KQ/KipuE6TsUq1brh\nP6+mYXDs+HEOHzlCvlBgzpw5rFuzhtbW1nHHFlzXU8icxvdTPscmwiyVMAyDqKqOa5ZSjqAKPdDT\nRxCIqlE+9FGP9uq4Lt/+ew1BaB4j6vWA80a/CuLxOFouh2kYxGIx8vk8uq6PqygVoOFEooDP1S+f\nxGUVu1Oh3OBPREtLC6tXr2bp0qUc2L+f7q4jHDn2PIViksHBJD/+yUY+dUsGWZreBBQlqSnGRxBF\nYqqKpmlep7IZFhs1cydSC/YZLsx6ae9e3rR0aVOuzzRNTMMgoqrT3l1pus7Jkyc5fvIkQ8PDdHd3\ns+xNb6Krq6v6PRGEGRl+7xDjHSPbtikWi8iyXL2KuOx8giB49QiyzI0fXA6uN4/u+PxRFi5srqTF\n6wHnjX4VqKpKJB5Hy+dJqyqqqqIbhtf/tYIkayOPszghkRvEzStq/JTBpb6uRdFolAULFpBMpVi5\nYjn/+ZMjdHUdY/bsXn5yr0I2O4df/ZUOLpjT09g2v4nedNQPm+m6PiVdrx5MJ9TW8DnqLMxqxl0a\nOHUKTdOYO2fOjK/Ltm0KmoZYK9lZAaVSiYFTp+gbGKC/vx/dMEi3tNDZ0cHll12Goij1XatQX/MV\nN6jyrVQH4MMJZCMEgUS1OP6Evzl+PP/e+5aFX86HPniYiy7qeM2Kop1OnDf6NdDS0sIpP56vRqOY\npkmhWCSVSo2biI1OclEUK0osi1MZ/gaMbiKZpGRZjGazXHd1K68czPGz//4lYtFhUukT/Pinh8m0\n7qC9LcnsWbOY1dNDd2dnTS8wbKo9U2/f1zMKNHnsaLRhRsdElIfJwl4BjhN2Aws7gpXtlCb2Qwj6\npI5ms+DnXsppq7phUPIToYIoIvm1DKL/3mZiz0svsexNb5qSnz4VAm0dXJfEFGEd23EYGhqiv7+f\nvoEBRrNZWjMZujo6WLdmDZl0mmwuhyAI9Rv8MgTPdzVUu9bgO3Jcl3w+j+M4JP2OdxXePFlgrVTi\nlZdTPPpEN5IIK5bnuGJznPSEUNS5gvNGvwYikQjReBytUCDiusQTCXKjo2iaRryMX9yot1/e9WnS\nazUe/EZ7k2YyGSzLIpfLYZU0vvolnf0H4nz5qxfR33cRAjaJ5ABbthylr/9FhoaH6ejoYE5PD7N6\nemhva5vk1TYzvh+NRtENA13XpyX7YDsOZqmEVixiuy6WbePYdsXwV8DVDhYc/49h7UW5cZd8eq6D\nvzD4hsowTRzLCiUyJsoRiKLoFW5JErIoevK9ktTwfRoaHiaXyzF/3rxGb8kkaJqGZVkk4vFJbB3X\ndRnNZukfGKCvv5/BwUGSySSdHR2sWLaMdr8/czkc10UKdqoNXlcgQFfJ46/VcD1YoMsNfiXnxK1A\nTQY4esTkn/71TUiS99pHb+qnJT2nvhqBNyDOG/0p0NLSQr+mYZRKxFSVaCxGwY8nTkwgCXjVk1NN\nhcDjqRSSEGBS/HM6Bj9Ae3s7+VwOwzTRNI0LF8f46t0a//Qdhaefkcnne/jRjzzp5D+/JYdl9XGy\nt5dHd+ygUCgwq7ubWf4ikG5pCQ3kxBBVQ/A/J/ksEk3XiUWjVYueXNcNqylt28by/9d1Hd0wPLaV\n73FHFCX0vkMjLIp10RODe5ysQmMVBAFJFEkkEtj+4hLsIoKdRcm2cSwLgzH2iSiKyLKMJEnhv1oh\nopf27mXJhRfOOHcQJDvVSCRknhWKRfr9cE1ffz+yotDd0cGCefNYv2bNlIyusGajmR7yFGSGcoOf\nqGLwwW+KMuE42azL3V+Zjet6gnJ/9ReHaOtop6Wa3MM5gPNGfwrIskw8kUArFFBtm2gshmGa5HI5\n0un0JE9IZGqPX/LlXh3brhjWKDf81Voy1gtBEOju6UEWBPr6+8M2e+/+XyV+7VdLfPIvo9i2N4E/\ne1sKSPH5z85h/VrPS+zt6+NEby879+zBtm3aWltpbW2lNZOhNZ0m3dIyo9BMubcf971913WxbdvT\neS+VKFlWmJgLDHgkEvF+lmVaW1tDIbvTuVl3bBtFURAEoarhCXYZTtniZNs2lmVhlkoh20sSRRRF\nQZZlZFkOdwOjo6OcGhxk/bp1Y8ecxlgty6K/v598oYBhGGRzOUZHRrAdh67OTrq7uli5fHlDO6wg\nNDMjeY5Af6q8b3SN781xHM/g+9RMpcp9r7RD1g2Bv7w1hW564cPP/MVh3rQyTjQer5uu/EbEeaNf\nB1KpFJqmoTkOCUkilUoxOjJCLpulJZ1uuMhFlmWvnZvfwWcqzDQxqKoqjp9D6O3rY87s2UiSRDwB\nX/qiTqEAn/jzsa3ux/2f77wdFi5YwMIFC8DneA+NjDA8MsKx48fZtXs3uXyellSK1tZW2jIZMpkM\nrZkMsWi0rrCGJIqokQgFv5epbdte9zIA1/Xa90WjKGWecgBN07DLulhVEgNrFpxGOPowaazg7SSC\n67NME90wwJf5kEQRJRJhz0svseTCCxtiNBmGwWg2y8joKKOjo4yMjJDN5VAjETKZDOl0mgXz5pFe\ntYpEPD6tsFw5iaApPQL8Zj1QfWfsTjT4VaiZlQy+YQh86i9bsKwSZinOZ//qGIuXykTj8ebQhF/H\nOG/064AkSSQSCfLZLFHf+CRbWshls+RyOZKpFHIDhl/0vVXbsqgm3h3Q9KYb1pl4PlGWac1kGBoe\n5kRvLxfMmhV6bIkEfPVLGidOCNx2xxi74+ZPBMZfIxoViCcSxBMJLpgzJ3yPZduM+AvB8PAwR0+c\nYHhkxGsYk8l4OwN/IZi4K7BtG6NU8nZO+TymYRCPxz2pX1lGUZSaRnbiDuh0UjcDoz/dKlbwks2i\nLHveqi8+Z1mWtwiUSgyeOkVvfz+LL7wQTdOIRCLj7pfjOOTyec+wj44yms0yOjqKWSqRbmkhk07T\n2trKrFmziCgKqWSyaR5ted6qWY1hatE4XcchXyh4+YgaBh/wqsXLxlQoCHz61ha/72+MG99znEWL\nIJFqJxaLNb2h/OsN541+nUgmkxSLRYqWRdI3/PF4nEKhQCGfJ5lKheqL9RgfWVGmVJssj/nP2NtX\nFCRRpL2tjcHBQU729TGru3vcVn32bJev3q2x+yWRb/7tmLEIjP8dn9OITWC4yZJER3s77a2t4Gu9\nu65LUdcZHhlhZHiYYydOsGvPHnL5PKlkkri/vVYjEVS/h0HEp8ImU6np8/ZPY5FWWI3bxAYmoiAQ\nURQvNxSL8cLOnSycP99rhzk4iGYYmIaBaZpkczlyuRzRWIy0H1ZbOH8+6ZYWL0TjGz2rVCJfKKDI\ncvNCGH7MPQzvzNDoB/OjWvLWdV3yvrR5LBarbvDdyY1c+vpF7vyi58nbls0fvOcwGy9LkmztQvR3\n6ec6zhv9OiGKIul0muHhYYpAXJZRIhHiPiWuWCgQ92lk9Rh+SZLQDaN6gxM/MTgTamg5lEjE8wjT\naRzXZXh4mBMnTzK7zOMHb+ArVzh89UsaL78s8NWvj3n+H/ukZ/xv+2uN5MS5M6EYJhGLkYjFuGDW\nLMBLKuYLBYZHRshmsximiWGajOZyXuisWPTqICIREvE4sViMeDxOPBYjHouFv8diMS9ZW8XwnC6+\nvuPTOaUadNpa30/JZ/0E/4oT/s8VCpRMk4iq0j8wQDQWQ/V3PNFYjM6uLtLpNInAU60wDsf3jgVB\naB7/fAIVdqaaQiFfv9r35+vpBB5+rfBn+XPrAs89F+Ge78bC47z73Ye5cHEMNR5HkmVSqdTMZD/e\nIDh/BxpALBbzKJCjo8iui+wr9jm+VK0oip4+eZnhh8rGOnj4ymPS5fjlX/91tj3yCP/yd3/Hr7z9\n7eGxHNfljz7yEf7te9/jT//4j/mrP//zusYeiUTCnUUqmUQAhoaGOHbyJLN7eipOrqVLXb76JY2d\nu0T+9ttjXuMtf+FNrL/4pE5X15ihn5hIdV0X0zQ9Lr7vJXZ3dTF7zpyK4bBCocDI6CiSJIVUzKKf\nTNZ0nYKmoReLOEAiGkWNRr1Eu6+hLssyoiAgyTJyGVOm0r9KrwcolUphAtb2ewzn83lMy6Ko69iW\n5SVqHcd7j2VhO84khpFpGJ7cRLGI47rEo1Gi/iIWj8U8emRnJ9FolKeefZZLL76YBRVompZto2ka\npml6i4Suo6qqV1gXGE/XpVgo1MXHrxsTPPGQjTTNY1cy+OWx/aARSkAxVRSlIq8/1NQpwze/leDA\nwTFz9p53HyOdKRGNtRFLpYjH41VZWecahAaZIWei2v01j6GhIfRikaRvaAIhK8M0ScTjRHzd+ImN\nV8rhAiPDw0QikUl8YRd4cedONt9wA0sWL+aJBx8MjdInP/MZ/uZb3+L3f/d3+dIdd9Q95scfe4wL\n5s5l9uzZ4d+KxSKnBgeRFaWq4S8f1P6DAl/+6uSKzj/+gM6yN40VPjmui2EYXv9Vfwsei0Y9xg3e\nwlVtWz88MoIoCLTU6M9b8heE4ZERcvk8Mb/pjVXGlAkMr1P2tyCGbk9g1oSftSwcvAU54NlLfigv\nTCqrqpeTCd4T8PFlOfxZ8n9WVZWYv0uppg8DcPjwYQ4cOsR111xT0VgHbCbwdkxBwxDwVEtVVcUw\nTU8mJBqdcVgn+M4mfke6rpMvFmlJpRqmk1bd+bpjrT0LhQIl3+BHIpFxIaXxBxtrYmOacMtfZCiv\nfLn1rwY5deoksXicC+bPp7W9nfb29nOhEKuuCzzv6U8Dra2tnPI7ayX9opx4PI7jOKGKYeDJB17/\npGIhCKWbmWj0XZdVK1bwm+96F/d873t89wc/4Hd+4zf4wle+wt9861v8z1/+Ze66/faGxiyXefoB\n4vE4ncDA4GAY6qlq+AW4cLHn+efzcMunxsb8tW94C8EN15e49ppRDF3H8XdCsRo0u0mn8MNC+UIh\n1ImpBEVRUNJpIpEIqVSKttbW8eGCaVYM247DPd/7Hr/2zndOem14ZISIH3qqhGp6SFPBsix27tnD\nxg0b6qrEDnIAlmWFdQr5QgGrVCLRhMTtVLF2qhRAVT+g59lXvTeCgAheeKvM4AOVK7/LDP7efTLf\n/odEaPDnXmDzJx/MMTKaxwWSLS20ZDKTRODOdZw3+tOAIAi0tbXR58syJPxYfiKRIJ/PUygUSCaT\nSJLkhTxEsSJ/X1YUr6EFE5Zof8J96uab+eF//Re333UX+UKBW2+/nS3XXMPfffWrDVdFqhWMPkAs\nHqdTFBkYGOD4yZPM7u5GnkIvPpn02D6uA5/7vEpvn1ds9tOfwU/+O01nZ4pP/JlGLNb44xVIWRd9\n9sq0ioCmq+pY5VzBzqSasZuuwQfY98ordLS31+6KVWFcsiyTTCYxTZNTg4NY/m5G94uxpkvLrJWL\nmk4Vbq3qcyB0lEqm6SX0y5g14z4X1GkALh4ds6ypHb/2Lo3164ywkMsFumfNoq2tbcYSH280nG+X\nOE1IkkRHZye2JFEsFgHvAQ9ka4MmzeB5LHaZERLKjuFCuHUHxumPXzBnDn/03vfy6tGj3PypT7Fh\n3Tr+9dvfDsMkjUzsiKJgmmbF12LRKJ2dndi2zYneXm/3UQcEET7+sSK3frqXSy/JAQKyJDEyEuET\nn0rz4Y8mOHGy8UcskUjgui76VG0Vg/DZaWLsBAg8zuq7oOl5kZqu8/L+/VN2xap2dY7joGkasXic\nnu5uFEVB13Wy2WwY/qkXUxl8qF1EVeHN4XGrwbYs8rmc5+EnEuN2KZO+U3/BOXZc5uaPjzf4/+cz\nI1y2zkDAC1kahkFXVxedXV2vy+5spxvnPf0ZIBKJkG5vZ/TkSW/yxWKh+l8ulyOfz49RxFzXa1tY\nFusPirRsyxqjKU542Ms9wK998YvjWBmN0DkVRfEKoKogFo3S3dkZevxzZs2q6fG7jkNR09B1HRf4\n7d+0+L3f1XnwoQg/+W8lHNjnv+CFgd7yZpO3va1Ul9FQFAVFltH9hGXDFaBNpm6GdM0mhwh27d7N\nwvnzp04wVriWUHzMdUkmk8iShKIoXgJc08jn88iKQiwWq6u2oJb2zdgw6mfuTOXhm6ZJsVhEwCMW\nyLJcNZzjXb/Apz/dQlEfO/97fr/AimXjHZRTQ0OIksSS5cvPWW2dqXDe058hkskk8UwmlBIAzyNM\nJpNYtu1tNQMqI35SznG8xGB5kZaP8onyvR/+kD+/9dawVd43/v7vJ52/nCVUC5FIhFIVTz+Aqqp0\ndnaC63L85MmqOwPLshgZHUXTdSKqSiaTIRqNIssCN7y5xFfuKnLzTfo41/G+ByL86UcTfPijCQYH\npx5xIh73GCk1FqqqHvYMwi2VENA1a2kDNYqRkRFOnDzJimXLGv5sEMIIukaV1zVEFIWWlhaiAdMs\nl6tZDxKMvJ5rsB2nvgV4ivuvaRqFYjHkzVcTTwu+3+dfVLn5E+lxBv8znx6dZPCHR0bQNY158+fT\n2to69TjPUZw3+k1ApqODaCwWPszgx1wTiXDiTZxUtuupOEqy7GnLBPDfd9/WrXzgIx9hxbJlPL51\nK0sWL+af7rmHV/bvn3T+egx/Ipkkn89PeS2qqtLV1QWuy4neXszyfTSevPDo6CiO69KSSpGIxyt6\nwHMvcPjKXUXuurPIyuXjQw2f+esYH74pzj//SwS7ShRC8htkmIYxLvxVjnCnM9Fgle2mmoFA7rrS\ndU53cXl+505WLFs2rerQoq+cGYvHKybJBbydW0sqhSRJFAoFr3PUBNQT0imH4zjV6xQoewar5UZ8\nWQXdMFD9imGx0g7XXzRGR0Ru/niaf71nzGNfv87k9s+OEI+NH3VB0xgYHCQej3PRxRfXeUXnJs4b\n/SZAEARau7uJxWKYphl694qikEwmcV2XXC43zngJeCESSZJC2iB4BuzxHTv4vfe9jzmzZvEf99xD\nR3s7f/Hxj2NZFn/52c9WHgO1DX8qlSKfy9V1PZFIhO6eHkTgRG+vt4Pxvct8Po8ky57YXB2sHFmG\nG99n8qUvFPjf79ODGwbAM8/J3PSxOB++Kc727fKkKEbUD5cV/ebXZwtWFWG86eJkby+aprHIr2Ce\nEmVGVNM0TMMgGo2iTrFgSL4nHVFVDMMg5ytVhmhgRxQoiVa7DyEHv9rn/V1vybKIR6PEJzRAKf+k\nYcDNH8/wf24bXwH4mU+P8uvvKlI+BBfIFwqcGhhAFEUuvvTS83H8KXA+pt8kSJEIyXQaURQpFIvk\ncrlw65pKpcjn855Ojx+/DKAoCggCumEQjcXYuWsXv/7ud9PS0sJ/fve79HR3A/DOd7yDSy++mJ/e\ndx+P7djBFRs2TBpDeSXwxOmnKApKJIJWLI5r+VgNiizT1d1Nf38/x0+cIOHHjaPRaN1iauPGJcDy\nZTZf/mIBx3X58U9k7t86Njm//8MI3/+hZ8R+73cN1lzqFa3F4nGKhQKlUqnqZK5oapoY13ccpzrt\ntMFzuK7L8zt3cvGqVfUvJP45TNNEMwyvtqPODlgCXqhMliSKmkY2eAYlqaEEtF0txOXH+V2oejyz\nVKJYKCAAySo6OoIgoOvw2dvTeBvSMQfpj/53noULJm8JHZ/br2katt9L+IL58+u+pnMV5z39JkJO\nJIioKslkEqfMuxdFkZS/1c7l8xhlIRNRFFFkGdM02X/gAL/6O78DgsB/3HMPixYsGHf8v7rlFgA+\n9dd/XXMcApU9/5aWFrJ1evvgGf7Ojg5KpRJ9fX0AxH3vu2GUV2EC73h7iS/fVeTPP6HRkhpvOP/5\nOyp/+lFvB/DsswkEQfQYUhUE1uo953QRdN6qFM+fDlXzwMGDRFWVWT09DX2uVCpRKBSQfc2nRqGq\nqhdOEcXQ424EQeexcQvVVBx8vIKuQqEQzoFKBn9kWODPbs7wqU9n0DTA9Qz+b/1mkTtuH6ls8P1Q\nUUBTjUajLF+xoqFrOldx3tNvIiRZJpJIIBQKSKkUOV8kK/DuU6kUhUKBoqbhum7Y1DkajZLL55k/\nbx77XnghNG4O41fla6+6iuyJE3WNJRS1YswTTvvt7rr93cNUcBwHXdPIZDLous7IyAiO49DW1jYt\nJouAr6wI4TV2dbn89We8ZG1/P9x+Z5zyEP73fqDi2LOwHZst15V45/9wEc6gqxJq7lTyyhvcTei6\nzu49e7h68+aGFk7bsjzDKUkkE4lpawsFz2Aum6VQKIS7t3oQtJKstzDL9WUhTMsi4vekmHjNu3cr\n/MP/TSAILggBvRne9f9pbLjMqHRYbyz+/QikuAVBYNGFF5I+n7ytC+eNfpOhxOOedr2u09LS4oV1\n8nnisRiqqnqFXL5+SsC+CCSETdMkWkYzcx0H209KTsfOTfL0UykGTp2q67MhQ8R1yaTTCK2tjAwP\nk/W7cPV0dTUe5xYEhCoSDABdXXDXnUVcFw4eFPnK17xFUZREHNdl64MKDz3sNRzp6XF4//tK4Vir\nnW+mIZ6ArjkTSeUATz/3HIsWLSKTydR/ftsm6xcbpao1Aq8H/r0QBYFUKkU2n6fgy4LX8z3ath32\nIRanCOc4tk2+UMB2HGLRaOjcAFgWfPObSQ6/KoPgegbfd09+69cLrFqtIwrVv7MgVCT6EijZXI6O\nzk4WL13a2P04h3He6J8GKMmk10O2VBrn3TuOE2qxiKLoefz5vFeYEomg6bonohUYGH+iuj7HP6js\nbRSBt59Kpdh/8OCU73ddl1w2i+04JPzKYoC2tjYikQhDvlxyty8W1thghDDpV818CQIsXuzw5bs8\nJtToKPzHfyo8+bSA49hIkkxvr8hffaYFy/Eoi+/+XyZrLrWbLrFpV/FwXRqjah49dox8Ps/Gyy6r\n+zNBCMN1nDA00yjC3VXZWEVRpCWZJJvNks/nw+rxWrBtG9nv91tTTdQ3yi7j4/cvviDzz/+a9Ln+\nhJ49wEc+lGPOHC98ZNnVj64bBpqmeRLc8Th9/f2osRir16yZcWvJcwnnjf5pgCiKqOk0xtAQjuN4\nW1tNQzcMLMsK9eQlSQoTvLFYDNd1MUwTtdyQljMcXBcbpuX5C3gx/ZzvNdayjfl8HstxxhJ+ZUgm\nkyiRCAOnTnGyt5f29nZaGtUo98dfTz9hgHQafv/dJX7rN3Ry+QIv7c3w/X9PjfvwP38nyj9/x/t5\n4QKH3/wNne5ud8bevu0zd2ZCATUMg+deeIErLr+87t3RuEbgdRjlqsfxDjbp70GMPeczslI1RNQc\nv66kVi8Br2GJjmGaSKJIKpHg1SMRvv7NFK4TaPq44eO85VqNjRtNMump8zShVINloUYixOJxRkdG\ncIBLLrmkccfjHMd5o3+aIIoikXQaY2QEXJd4LIYiyxQKBa8Zhr/tTSaT3k7g/2/v3GLkuM78/q9T\n977O9NzN+20oUZYlWpZ1We+akqWs4yyidbJAEBu7WQSbx+RtEcAPwb4FGxibh30IAuRhF3tJHgJY\ngiMYXl+llUxbWomkaFmUTZM0RZEz5Fy6q7uruu55OOdUV1+nh6R4m+8HEEMOu6urqrv/55zvfN//\nE9WJge/3ir4kJ15S/Jn4/aRyZBoGDFWF3+mM/KJ0Oh1EYYiCyPgYdZylxUXcWFvD2vo6fN/HzMzM\ntuP82Yx/Uv8gy4IfBDh2rIG/eDpFFCU4czbA3/7dbM/jLl5i+K9/Ljc7UzxyLMIffNXH9PT2xX9c\nv4NJeffMGezds2e8v07PobngR3GMgm1nTq7bYZIKW1XsETRbLXieN7RfriI2slOMLk4LggCe6yJO\ngSsflfA3fzcDpEr3Fil8VbcwF+M//ccWDCMZ+p73O2qm4N8HTxToSTO2IAzRdF0cOHSI15QQ24JE\n/xNE1XXo5TICxwHA0yar1WrmiR4IkymZ0hlFEf+iRxHUYSmCfbPWBMj+Lb14tpLPSrWarSz407vH\ni+MYXqcDzTC2LBpSGcP83Bzq9TqazSaCIMD83NxEOdL5TWaZ/THpcFEqFlEXG5G2bePQQR/f/G8O\ndE1Hva7gx69r+PFrvef+/i80vP+L7v2slFN8/WsdHDoYQxvnJi0sjfuvaTtZO1evXcPmxgaefOGF\niR4vazqk4JumuS0fnRTIYu+ToIkiuI7w68+/74r4vMVxzF1T+wa/JEnQcDy8/rqF117bDaYyAEwM\n5N0Whv/h37dwZDkCY11LhWHn3f9ZbHsetyjRdZQKBTDG93Y2NjYwXavhyNGjE98XoguJ/ieMblnc\nr10UGCmKgmKhANMw4Loumq0WLNNEuVyGoii4sbaGzXodM9PTUMaCkMmOAAAgAElEQVQZfPV9qVPw\njV9FUbLwyTAqorevtHbIN8qQxnGTepYwRUFtehqmYWBjYwNXr17FwsLCRMttKSgytTSZcMbPVBUF\n20Zb9C8AZMk+MDWd4vdfCvH7L4VACqysKvjWyyY+/GXv3XCaCv7H/+y9xoMHYjx3wkeSdM8h64t7\nk6GVMAzxzqlTeOrJJycqZJM9cOOc4AOYeFDM6jS2uSqwLIvP1j0va0ST+emLDBmA3/tOB3jnHQPf\netlEnKQAKlAUBoUp4kR5COcP/pWHRx4JUSrl9m7GnFcqVhMAX212Oh0whfdltnIDUdNxoJsmHnrk\nEeqCdZNQE5U7hFevIxniZeOJWL8qPPk3Gw20RFZFwbZHesoD2DLEMGz2/+uLF7GxsYHPHj/ePQyQ\nte0rbsP/Po8fBLixtoY4jjEzM4PqFnF+6T+UZzvWvU6jAT8IkCoKKqXS+PsEAEkCzwNef8PAd747\nfBUTxylWr69gfm5enE+C48db+Of/LMX8fK4134Qz/bffeQeMMTyRu9ejTy9Bs9nkm/1iUiBfa5QN\nRT/bWTH1E8cxnGYTmqZx3yNFQRTxtMpXv6NhZSWFquk9M38FvJeEwhQwJcW/+yMXDz0UIr8gUCbY\nU5HNUsIwhOt5iOM4ay7EGMuuyfU8OO02Dh45goMHD97klT7QTPT2k+jfIZIkgd9oIBlifhVFEVzX\n5YZWipLNchTGoOk6irY9etY/4fsn4+1ra2t47+c/x4nf+Z3uuaW8Y1X2hb9J4iTBjbU1+J0OyuXy\n2Dj/UNHH5DH+OI6xsbkJz3UxNz8/vnlImg69Tx0fuHZNxWuv6zj9njYg+kmSIEkSaJqK3u9Tij17\nEnzhtwIcOxYN+MAAwMrqKv7p3Xfxuy+8sGXIKxYWBXGSoFgs9nTZmkT0FUy+KT6MJAF+c1nDD37E\ncPasPrBxHYYhkpS/QpLwe6mqDF//uofHPtMr8vlzmvz1E7Rdl3/uGeOdxoR9uKTT6aDebOJTe/di\neXmZZvnDmei20527Q8iMnk69jrQvRqtpGsqVCvxOB16nA9/zsibgXqeDRrPJ2+BtscE7DtkIpFQq\n8SIrkW8N8I04yGIx6VGfDN9sG4eM8zcaDTiOgyAIMDc3N7RV4DCjL7kymUTAVFVFsVDg+wm+P170\n+wrCJJYJHNgf48B+LqpJmuKv/va7eObz/xpXr6n4f6+q8DryzHrP9KOPVPzv/zM8DMZYgCc+dwqL\nC09ifd3A7GyKURoVxzHPqErTkRYFo8jH78fdrzAE1jdUXLqk4tyHGn7+/gg7ixSAEvH3XkwyUqQI\n4wRHl9v4rWebOLAfKBbtsSmS2/nUhGGYbVrLvr/94TQ/CLDpOFjas4cE/zZAd+8OwhiDNTUFr17n\nVSo5FPDYqq7rCHwfTrsNiFlPGEXwPI+bVdn2YBZFXpyTZGSIRFEUGKaJgm1jY2MDtVoNAOCLGVY+\nW2dYj9SJrlFRMD01xfP5NzZw5eOPUZueRqVSmTi7Z1iXsWFYlgVNVdH2PN68ZkSWTc8Akx8Acn+X\nxUa6HuHI4QSHD8V4/LEmoCiolMtQwN+yX19g+N4PDJw/3z/777Jn7ztYW1vC228dwLfHnH+ayjqA\nEhhT+UZnDk1PoTFA0yNoeookUZDEQBwDcaIgCJT+j9EtoSjAvj0Rnnm2gf37TJTLKTreJuqOg6JI\nOBjpf5SbRExCKHr9hmIVI6vW+ycavu9jvV4nwb+N0B28wzDGYFercDc2oAwRVVVVMTs7C9y4kaWq\nqaJBRhhFcOSs3zSHi7sUvjGCvbi4iJXVVdRqNQRhiDCKYNk2b1CN3F7ALXSmKopahPX1dWxsbqLV\namFubm5LZ8jtwBiDVSggFG0rS6XSgJgDfQNIn4WvZNjKIxazT3mXNQ1YXk6wvNzpWmWk3BWy1VZw\n+TLDuV9uIIov4+yZwT67vaeRIo4TADz/fZhgRqGCTpICbn4/4dYthRgDnjge4PDhCAf2x5iuJVmK\nZxSGcFoeVObD9xPeM8EwMDU1NXJ2r4BPEiZZcUqxj0SFr22a2UDSL/hBGGKtXsfC0hKOHDlyUzbU\nxCAk+ncBpqooTE/D3dwEhoRRmKqiMjWFVrMJTdeRxjHCMMy+mJ7rIhS59OMKZkaxtLSE9957D8ce\nfjjzyzd0vUckE/AcbVmBqYwIkYxDU1UszM+j3W5js17Hx1evYqpaxdTU1JZ55MNEeNRrMMNAEATw\nRX/Ykee4jUItaTA2cmYp7gdTeF972waqlQ6urvwEj3/mMfzhv/UB9PrHeB1gfY3B9RJsbHTQcFQE\ngY2mk2L1BkOjwRCFQBAoXf+hdOjLZthWiqmpBMVSiko5we7dCebnYszOJCgUeCaNpqfQNREOArK+\nzVnhVs4aIwVf+QVRhGq5DMMwMpuQAcRxRu2Z5AmE2Es7h4JtQzeM4d2ywL1+1tfXMbe4iOWjR6kA\n6zZCon+XYJqGwvQ02uvrfMbf50JpGgY6uo44ilAplxHFcfalSVLePzaKItgyta9fDcaI9MzMDFqt\nFnxxDE3XBwYeuQpJpSCIVFCAx/u3U/ZeLBZhiZBSvV5Hu93G7MzMljM3eUbD5CQbMNIUhmnyqk3h\nQjkyxXIbA5Y0GJvUkCxNU/z0rbfwqaUl7Nm1K7tn+YHNtoDFxQDNVgvzcxCVtiGA0Z2t5GbyJMVW\nWyE3fFN+4J7/C6Io+0wxxmDqOizLQhjHg9lcctCYVOyF9bEUe/m+y98NNBiKY1xfW0Ntfh7LR4/e\nlKsoMRoyrLiLME2DXashxmAIhYkUzjRN4XU60A0D5UolM2hTGYPv+3AcB03HGd3MXIp5TtQZY5if\nn8fK6ipvjLGFgPfM8tMUqaJwy2ERC5/Eh0ZlDHOzs5ibnUWSpri2soK19fUspDT29fv+LTels0wf\nsQmqKArvUjZi9rgt//go4nYX4t7I6xzFB+fOwfd9HP/MZ8RLKV2La/G6YRii2WpBUZTJrRVuIcSW\nik3xNHe/5B6HJAhDNEQ/5zRJULRtTE1NQTcM+GHIVzsi/CI3jLMaizH3MwgCOKKILk15RXqlUskm\nKKMKCZM0xY21NUzNzGD56NGt+wcT24Zm+ncZTddRmJ6Gt7k5sBlm6Dpsy4InGoSrmgbdMKAbBqIg\ngCeKWJqiBZ1lWbBte7Cheb/wJwmWlpZw7dq1zOd/O8ghQhaEyb/LFYustAUGBbtQKMC0LGxubqLZ\nbKLteZibmUFhgoIw6QHTsyqS7pGMoVQswmm10Gq3uw3p+5kwxBOLrmZK/t6NeN7q9ev41fnzePFL\nXxpYAcnn+7lG4KVSaWvXTrlSGDWA9b5INzyTbl0MlaI33KIyllkcKOAzbQVigz93D7bK5krTFGEY\nwut0uH1FbmbfcwyRhqow1nN9SZri+o0bKE9PY/noUVQqla2vndg2NNO/B9AMA/bUVPZlyBqpKwos\nywJjjG/q5pbTmpj5T09NoSxaMjqOg7W1NdTrdUTjmqAzhoWFBVy/cYMvsW8yI0JKQM+sTc4qk4Rb\nQ4uf2WwTfNY/U6thfn4eDDyn/boo7OpH7i8kMitpyIah/Jem6yjYNt8sHNdQfQKiKBpsGDIE13Vx\n8mc/w9Of//zQgStN08xbSdM0TFWrk4WM5AxfHkf8Tq448qudVA6G8hz7QoXIHcPPzcCRpigWCnwG\nnsuLZ6rKHxuGmWArGBzAJXEc88Ipx8l6ROdn9v37QnKFlv+cJ6LGo1gu4/Dy8rbsp4ntQTP9ewTN\nNGFPTcFrNLIvM2MMqqbBtm20+1sGipmgZhgoC+dB3/fhui7arRbarRZMy0K5VBoa87cLBdimCafZ\nxPQtfMGU3Ix+mCxmv8/F4BPxPNmLt9FowGk24bbbmJmdRVkYf8mwkRS8jJzw98e6LcvixW7CUmBg\n1SOPNWa2L+PoUvRHVQonSYI3Tp7E8pEjXVuLvv+XtgqWZfUMCqk4754ZuryWXDgtEU1CsvPI3deR\nDBkUgyDgM3txXbIIbNhxFPFaaRRB17SRzpdhGMIPgmyw1jUNttj4VXKDFlOU7h5R7jrkqiSMIqyt\nr6NQKuHQ8jJmJjSmI24OEv17CM2yUNA0dOp1JFGULYENXUdHVeG5LvRqlT+4T4Q0XefVu4UC/CDI\neod6rgvDMFAqlXi1bS6ssLC4iI31dezfuxfA5NWwQ1G6Pvk9fx/2UP5i2d+nqlXYloWNzU2srq7C\nsW3M1Gp8Rpwrw8+uOy9+YpaYp1QsoiGqXCuib/F2kCKWzfRH3JN3T5/mbfqGNPAIwhCtfF/Y3KZ1\nfhDsF37k/k9e33bon9kHvo+O72diX+qr+B14vpiVR0HAJxW5VUmapgijCGEQIBB7SIwx2JYF3TAG\nQlZKTuzlKkW+V6miQEkSuJ0O6o6D2uwsDhw6RIJ/ByDRv8dQxeZu0GwilCEdhZu0Oc0mOp1OT3et\ngSU9YzBF9W4cRXDbbTRbLWysr6NRr6NYKqFYLELTdczPz+PdU6cysZd/knR8hec4ekQqv5wf/uDs\n/E3TxMLCApqOg816HZ4ouKpWKr0FQX2zxBRdSwcplQp4xlDDceA0m6hWKnwgyolpZvCWm1nLVYUs\nGJIilh8MU3H8i5cu4drKCn73S1/qxtTFa7iispqJDVtNVXvOL7t88RqxDNHcJpI0zWb2ScrTTkuF\nAowt0k+z0Bx4No+873Ecww8ChEGQ3TfTMGCY5shQVc9eCOTh0+x+J3GMRr2OII6xa+9eHDh4kLJ0\n7hAk+vcgjDFY1SqYrsNvNnmFqqrCMAx0RLEMy89C8zPE3JdM1TSUq1WUKxV4nodms8mzfVotvukr\nQ0Kel3nubFXSvx3yMf8sbJETXtlIJfu3oqBSqcCybTTqdTRlZ6dyeSAWnoWVROpgfqCS+wbFQgGt\ndpv3gy0UBkS3f2YtZ92xqIlQhJVvz2MBbNbrePf0aTz/xS9yYRT/l8Qx2qIvrGkYKBYKI2fqWThH\nXHfK2FA/+cGbOjw0lYJnBwVBgDAMkYLbexQta6SBXva+9B0vjiK+p6FpcEQHNYBbg9u63hO+6T8H\nNur80jS7vigMsba+DqtYxJH9+7F7927qfHUHIdG/hzEKBWiGAa9eRxqGsCwLvu+jKWev+baK+Z/9\nKAqP4Yvq1WaziY7noRVFKJdKuHTpEg4dPJgV4Qx8obdR1DSK/GZeJqB9x03EjFdTVd6Rq1KB4zhw\nGg20HAflSgXVPvGXlg3Drtw0jKy+QdO0iauBZbesYQRBgDdOnsTxxx7DlAy1gef1t1otJGmKom2P\nLCbKNjT7Zv5ylZUfXHpi+CMEOoqi7iwcXHQN04RpGFtuGA/Ljw/DkPfPFRvPMAxeSDWqQCt3frl/\nDFxzkiRQALRdl4dz5uZw4OBBCufcBUj073FYLtwDYTXQarVQdxzuZ7PNGZJuGKjNzCAKQzQdB7WZ\nGVy+fJnnZus6dE3jy3ZN41/0IYI/SmS3Iv+cAYHDoAjpup6Jf6PRQKPRQFO09qtWKrxnq7j+OE2h\nDhn0CraNKIrQcl2oqtobox5xHXGSwMrnpufCPz97+20szM3hwL592ePlHgoUBeVRpmm5lc7AxrSA\nMdabwZR/Tu7exHEMPwwRBgF3ZgVP75XvW/+R85kz/YNsGIaIokg4afJBxfM8mIaBaqUyPuTSl2s/\n7HXlucdJgkajgSCKsGvfPhw6dIiqbO8SJPr3AflwDxyHW9G222iLpurKsNm5ZETmiabrmK7VsD9N\ncfXjjxH4PnRdh+/78H0fTFWhaxpUTeMDgPg5Sd76VvRn/DBgrH2wruuYnZ3NCn4c0a2rWi5nwpEm\nCTfH6QsjyY1UGdaqlMtQ+zeH+8jbL+Tv65mzZ+F5Hp556qnscbIfAlNVlIvFwRWCOJ90q9WYgCld\nl9EeoU9ThL4PPwx7smUsyxqwIe5Hbpyn4CuDUIh81hxFUbJBPhYrI9Mwhru69t2TYWRnLfcH8uGc\nI0conHOXIdG/j5DhHlav8/xv1wXzPN5UHcji0D30f0Hzg4CiwLYsHDhwAFevXcPTTz2FQGRmRGGI\nIAyhRBGYomSFSlIcNE3rzW5J055Z8SQoijJYhq8oI51CDcPIxL/RaGCzXu/G74tF/mHObxyiu1la\nLpXgiCb0ZSH841DF5qs83vsffICrV6/i+RMnoKkqojhG23URRREsw0ChL36fXdEk9yOX8QTGoIi6\nBjkTD4IAobDTVEXnMN0whq5ssn0NpVsEFUYRImGsl90TTeNZN2JglwNwo9FAnCQwLWtoNs5WA31P\nZhKAdquFerOJ6dlZCufcI5Do32cwTUOhVoMiQgEd3+deKabJNyJFXrdsmzhAPmMlTaEbBhaXlnDh\nwgW02m1UKxXYIiQShCFf9scxTx9VFMQiPxvgKxBN1zO/m6x6cxsDgAIeZug51y1WE4ZhYG5uDkEQ\nYGNjA5v1OqIowszsLKrSwrkvW0fTtB7hl1bPwySMMdZjZPer8+dx4cIFfOnECZiGAc/z4IrsnGKh\nACvn5T9x6Cu3kSufI2PfofDB6XQ62aBmWxYMXR+61yCPkyQJb80p3q8oirJNWJUxGMLRUhvh6hmK\ngUFlbMD5smcfZtjliGvKH2tjYwOxouBTe/dSOOcegkT/PoQxhmKtBqZpWFtZQdt1s3x+oJuFMlL8\nc6IqZ+z79+/Hr371K3zuiScAcJHUNA3IDwBBMJBhEoVh5tQJ8GrO/CCgij8jm7KIFNGh5zfsd7nH\nGoaBhYUFMMYQBAE2NzfhOA5KpRLKpVI3H12EGXQh/K2c8A8j76x56dIlvP/BB3jhueegGwYaIrxm\nGgZsy+oWcAE92UPDkDYbMqafApk4yz8y/TROuZGcKVZVA/csjhEnCX+OEPk4997IkI1lWfw9niCc\n0ul0eCNyTeOFW7n3YVz4MH+9YRii3mig1WqhXK1i+ehRLC4uUjjnHoJE/z7GrlQwr6pYuXwZbqsF\nVi73CEQm/jKGPSwcwBh0TcPC4iLefOMNeMeODTRGlwNAallZznYUhpn7oypeU4Zq5GpAzg4ZY1l1\nsRwEVLkPkcvdHsq41Qq6lb0V4bXjNJto1Otw6nUYoiK5VCpxvxFFgS5aQrZcF06zmT0P4CmXQNdZ\n88rVqzj13ns48du/DQBoNpuZx49hGFlO+1ZiL89XURREQuRDIfJyEJWhM8M0oWsar9iN4+7AIGbx\nYRQhEU6rEpUxqKoK0zDA5D3eRpgN6Mb6Ab6aHGkpLfco+gbqMAzREPYOcRxj38GDWH74YfLAvwch\n0b/PMYtFLO7fj5Xf/Ka7UdkXAkiTJJtdKsDA7N8WfjW79+zB+fPn8eijjw6dWUth0jQNaZr2ilcc\nI5Yir6p80zc3u0viGIHvZ2KhiH2ClDGkcZw1EpEDxJaDQC5MpTCGBDxTx7JtHm8X+fnra2vYWF9H\nsVhEqVTiYRLTRBE8fbDZavGuWwAiGQrRdaxcv463/+mf8MznPw9FURAEAUzRdUyGU7Kirv5TFP+X\nJEnPTD6Mop6BUNM0aPJeicfL8I7cW0mE8MvjqnJPJbea2k7Hqt5b2X2e7/sIfB+qpqHYN+jnC89k\nnwVJFMdoNBpotdtIkgSFQgGffuwxzA6xpSDuDUj0HwBM28bi/v24JoS/LF0ch2zipuhWo8rYtyrC\nALt37cLP3noLDz30UBbTzWLzfbF6RVF4imfucTLMIGPKcS7sIx1C8wKVj18P+PmLAUBRlO6AIH4q\njGU/AZHxktv81VQV1UoF1UoFHd/nXkTtNlqtFjRdR6lYRLlUQsGy0PY8uO02isUiYrFX0ajXcfLk\nSTz+2GN8pqoovFWgpg1aLKddz5xYiHYUx4jCEFEcZ81YFPBVlZrbL4jFButAeEsUMjHGoIuesZrc\nM9n+xyN/U4duxkZibyhJU1i597RnBda3qoniGE6jgaawTi7aNqZrNRw6ehQFskO+p1G26dN9axU6\nxCeK7/tYuXQJURhy3/0hPUcHkEKQJGg0mzh79ixqtRqWjxzZ4mlbN/WQq4E4t7GYD2eoYpYb5Waz\nsgBJVnBK0ezfS5DnzhjjgwaAopix50NZMp01c7tstxEKr3zLtmFoGhJFQdGyEMUxvv2d78AyDDx0\n9ChmZ2dhiUKnJHc+UthlXD1/nvIa8iKv5mLqMsuKiYFLDgKK+LsiVjqRqKq9ZWRW0JgQWst1sbm5\nCd0wUBUhwlHvbRzHPIwjCtEKtp31edh/+DAM2qy9m0w0J6CZ/gOEaZpYOnAA169cQbvZhCn89ccK\nf67wxzQM7N69G2fOnMGhQ4fGbv4NrRaVxwOGrgYAXviUZZZEEa8LGGIDnc3yhRAqfa/Tb+sQ9s+a\nh2QQMXAv+yiO4bkuGpubmYAr0r4avJ2kYRjwhIdO2hdDz1+3DEfJTWsttzkuBVzNXUe2lzGGeNgA\nNyEjjz3i97HoOJamKSzT5LbK/cV4Ke/U5opVUSxm9uVKhfd8KBax99Ahalp+n0Dv0gOGYRjYdeAA\n1m/cgHPjBsIw7G3aMUZwDMNAbXoa5XIZZ8+exWOf+cxA1eUw+vPsex7ftzegCuHLZxqFchMxSTLz\nMWnJkCRJV3SHzT6VXnfPfPgo8/XP5Y1L73nbtmFaFvxOB57nYXV1FVdXVwHwYi6Ab2AbYg+D5UIz\nqqpmM/VPIitlIISUu1akt+CEOuR1HMdBs91GqVCAbVndTek0heu6cF2Xh37EQGRZFqrVKnRNA1NV\nLOzahZm5udtyPsSdgUT/AURRFMzOz6NQKmHt44/hNJu8Y1Vf8/P+phaKoqBYLOLTjzyCN3/yE8zP\nz2NhYYGLaffg24srbxECkhuaSZpC0TT+gczP4nM/ewYDGfIRg0EURVCALF6eD/Fk/jx9Yikbpbie\nh816HYsLC1hZWcni3n6ng0hVYVsWr3wVmTXZ/UNuk3Nbt6S7MZrmhFweMxki7JkR3k0KfhaPV7rd\nuNxOBw3HgWUYqFQqvM+wsOP2xKa7qihZRzbLtrOU02K5jF379lF2zn0IxfQfcOI4xo2VFbTrdZi6\nzsM9fY/p92aJkwSXfvMbnH3vPbzw4os9X2zZ3AW559yOeWcYReP75fatJvIx6iiK0Go2USqXebrl\nMGHMPT6UDUXiGFeuXMGly5fx2KOPolQuQ9d1uJ6HJI6haRr8IOhmHYmUT0sMApZlZemd+QKrvKGa\nkvs/fhrjZ+qJGMBuB/m72e+eGkURVlZX4QcBisUib4ji+0Cagqlq1vTFtKye1RNjDAt79qBGlbX3\nIhN9FUn0dwBpmqLRaKB+/TrS/nBP/2PBRSsIQ7x76hQ6rotnn3127AxTitjNpg4CyAqNbmYmmyQJ\nnEYDBZE/P4BYDchMIek5c+HiRayvreGZZ55BKPzjTdNEGIZot9vZykfTNHR8PwsFhVGUDUK6rmcD\ngGkYWejnpu9DX5HVdsgPMsNWWHIvJQhDXFtd5StA04QhMoQKts3DXrkK4+zYaYry9DR27d4NjWb3\n9yok+kQvnU4Ha9evI2i1YIkmGOPkqe15+PFrr2Hfnj04srzcsxqYZBCQ4YRJPolJLuVx26Qp6vU6\nF1+ZY54LDflBAF826xbWEadPnUKcJHjqqafAGEPTcVAoFrMagTiK0Gq1eDpizjkzBRfAwPczqwQ5\nCKQiDCarkmU+vSaqaqVx3ejLuLl7kBf5RKTOBqKATpqrycypJEl4CqvnoVIuY2ZmBnahMLablqpp\nWNq9G9VabVvnRdxxSPSJQeI4xsbGBtqNBpIggCFmt6MqOG+sreGNN9/EE5/7HG9kns/z7p/Rjvss\nSfHPDQL5V5SVp9JobIDcQJPNZnM4jQZvjC6bwSQJF3vfRypaBVqWhTCK8JOf/AS1Wg2PP/44mKJw\np8xOB5VqtUdw0yTpmqqJ2fwwEjEISHGN4jhrRCKrlvODpKqqmY+O9C6SmUmRuAfdy+7NUsrbHsjH\nhXGMSIh8lv4qHscUpTvwiP0L1/NQLpcxs4WIM1XFzNwcZufnwSgz536ARJ8YTRiGcBwH7XodUafD\nY9Vimd/PuQ8/xOXLl/H48ePcoXJccw4pUv1FQDnRkxugPYOAomS+M/mc9/7njqLVbPLiIstC0Onw\n6to07fGf2djcxE9PnsSRI0dw5PDh7LjNZhMAz/OXoZ98eqhsSm8IN82BS8bob1uSptkAIO2M+weF\n/CZ1z6Aj7qcMm428J2nKi9/EakIThXC6rmdhvDhJ0BTtIw3DwMzMzMi9BVXTUJubw8zsLNQxKwDi\nnoNEn9iaOI65R/3GBiLPgyqyVfJhiBTAP77xBmzLwv4DB1AoFIY3CrlF+ouwshm/yHTp38AFhL2D\nGMAC3+c+O6oKQwifHKA++ugjvHf2LD57/DiWlpZ6XsNpNGCaJu8rPMLXX4ZyVOHds924ffbF6fu+\nxUmCIAiy1NJhX7BReyWyInmr3P8ojtFqNnk3LF3HVLU6dOCWYj87N0cz+/sTEn1icpIk4T1019cR\nuC5v3CLsfBUAXqeD115/HdPT0zhw4AB0EUq5XTnjEmnhDHTbJ/YTiXBGKKp9ZSw8jmPMzs5mjcih\nKHBdF6fPnEGr1cLnn3wSU1NTPccKw5D34S2VoGpar+j3rVaCIIDrukhlnr/Y8JSrgp7sHaAr4kO+\nY8MGgXGNZG6GFMhCV55YzRWLxZ6N2hR8M3p6dpbE/v6HRJ/YPtKuoL62Br/V4qEDERNOkwRvv/02\nmKbhoeVlKIzd9lm/dAbN/ztOEsQiPBIEQbYCkLFxXdcRi25i5VIpy/s/f/48PvzwQxw+fBjLy8vZ\n7DxLm0xTuJ6HwPdRnZrKPOmzuoC066sjc+mTJIHrugjDkGe8FApjw12ZZ35fymT/YJCi6/J5O4ii\nCG3PQyya4cgVinQHVRQFmq6jNjuLGRL7BwUSfeLW6HQ6aDebcB0HgefxEESS4IMPP4Tnunj42DFo\nug5D01AolW4pZRNiAzcU9gzSryfz3hHCq6rqQLwa4GESx/ShjCkAAApRSURBVHFg2zZc18WpU6dg\n6DoeP34cpWEGYGIW7jQa0DQNxVKJx9QnFN4gDNFxXURJAss0YQ2pfxig368o9/dRq5rtkqYp3E4H\nQaeDBN19gJLIQFIYQ6lSwVSthlKlcttXasRdhUSfuH3EcYx2owHXceB7Hs6dO4fV1VUcO3aMx5YV\nBQXbhmEY3eIt+eT8Jm7eJiFJMp94KbZyti1bP0p3SekZP87obX19HRcuXsT11VU8+uij2LNnz9hN\n4Cy0UyxCl6Zqw0RfbLT2C2SSck8av9MBYwx2oTA6JXPMeQPdsJZcVWyXFDz85InBWRVGdkhTlMtl\nFEolVKenUa3VyCPnwYVEn/hkiMIQQbuN906fxge/+AUef/xxqKrKG6eAG7fpmpbFxOWHpj/VMnOi\nzPnZqKrK+8SO+VzmUxZTkf1y9epVnD51CrWZGXz2s58daQ+QP4d2u40oDFGpVnnoZsxMf9xgE0UR\nXNdFLKp4i8Vi7+A28kq61zHMXrk/Qydv1ZDfEwhyFcaqaGjv+T40TcOndu9GbW4O9pCsI+KBg0Sf\n+OT54P338dr3v49jDz2EvXv38kbcYQhFUWCKKtW8SOVj2cqIwi2Zs79V6CFJEly5cgUXLlyA7/t4\n+OGHUSwWUZ2aGv7cnJCmImtH03UUhcHaVuGdccKfpil830fH8/jmqGHAMIyJZtWJbHKzHXJiL4vO\nDF1HlCRQRax+154949NriQeNiUSfGlcSt8TDjzyCP/j617Hpuvj2d76Dixcv8ni7qqLjeXAcBx3f\nz2aoDDwFkY2p1FWAsSmRjuPgzJkzePXVV3H58mUcPnwYL774IhYXF/mMXYaKhED/97/8S+w7ehQf\nXbmSHUPaMI+rRO3n7XfewaFHHsHf/P3fD56zosA0TVSqVViWxTdSWy04jQZvcD4mXr+9aRcvBHMc\nB67rAgAMXeeun7qOuU99CoeOHsWefftI8ImhUHCPuGVmZ2fx0le/ikajgZNvvolX/+EfcGjvXhw6\neBCqpmU57pqud0M/W9A/q47iGFc++ggXL16E63nYt28fnnv+eRRzYQtNhJTiJIEuCsTyhVNZKiV4\n/Pv7P/whzr7/Pn5x7hw+OHcOrXYbL/3e7+Ev/vzPe8+FPxlPHD+OWq2G7//oR/jDr31toChLOpXa\ntp1V//oi5u+LHH/LNKHlBppJLRfiKELg+wjCEGmSZC0pkabQCwVMz8xganr6E0mjJR4sSPSJ20a1\nWsWXv/IV/M6JE3jrZz/D9157DbsXF7F71y4YhsGrUUVLQss0efHUkBl9CsAPAjQdB61WCzfW1vDx\nxx9jdnYWR48ezWb0/SjCciAMAlgyhx6D+wiyo9f/+qu/wrlf/hLFQgFLi4s4f+FCdpw099jMopkx\nPP/FL+KVb38bjuOgUqmMvBeKosDQdRi6jiRJeA/aIECr3eb+P2JTWraDVBkbsLVIReFZx/MyTx5V\neAdBUWCXSqjNzaE6NQXLskjsiYkg0SduO4VCASeeew6/9YUv4J133sH5X/8azUYDrVYLlmmiXCzC\nFh7tpUIBqqbB8zx4nodmq4VWqwUFQLlUgl0solIu48UXXhjpfZNHNwx4npfFuYdl7/idDgDgv3zj\nG9i1tIT9+/bhp2+9hX/zR3+UPaZ/dSB58fnn8X+/9S28/uab+Bdf/vJEQssY65n9B76fefQA3X0O\nhTG+8S0GpSAIAIX3MLYLBdi2zT39DQOlSgXlcnmie0IQeUj0iU8MXdfx9NNP4+mnnwYgNk8dB5ub\nm1hbW8ON1VV8dOMGF/hCAaVyGUtLS6hOTWXdqwCM7po1BFOIfhAEMC0L6AufJGLD1TBNfOGZZ7Z9\nTV949llYloXv/fCH+Jdf+QriIamco5Czf13XkQhjNOmI6fs+wiAAGINmGCiUSlisVlGpVGCaZtaC\nUf4kiJuFRJ+4YyiKgmq1imq1iv3792e/j0SvXFkMFnQ6cFotIEmgiU1hVdN4iqewMB65CSwanfhh\nONQXPvB9AMjCP9vFtm184Zln8No//iOCMOQCPkL4hxmxJWmKMAwzR06FMZi2jcrMDEqVSmbv8El4\nGxEEQKJP3ANIZ8hisYharZbNfD3Pg9tsIgoC+K6bZcDIvH5NDARALgyj8GbsgesiCMOe7JwkSdDp\ndHgfgZs1TAPwwvPP4/s/+hF++vbb+O1nn82sk5Mk6Yq8yL2XjddlhTEYg24YsMpllCqVzAvHNE2K\nyRN3BBJ94p5Cpj6apolKpYJ4djabGYdhiJbjoLWxkfnkM8Z4UZfICFIZy2LjrVYLlXI5ywJqNpuo\nVCowDCOzNJYrh3xx1IBRWp8YP/fFL4Ixhu/94Ad49qmnMkvoWNhURMI+ORW1BkxVUa3VUKnVYAgL\nCV00ViGIOw196oh7GjmrlxuWtVoNyd692SAgw0JxGCISfvVJFEE1DDiNBrxOB+12GwDQ8X2oqspD\nPLIhiwgVyawimWmTb0QiN1fl4GEaBh799Kfx/R/+EP/5T/+UVxPrOkxVhSoE3TRNGJaViTzF4Yl7\nBRJ94r6DMZatBvJmaomwV5Z/PM/jbRTFY+Z27UJldjbz7Zc2DmmaQhFhIIUxaIUCN4+TKZWMgQmb\nCJkfH4Qhpms1HFhezgamW+2PSxB3AhJ94oFBhnrkJmixWMTs7CxmZmYAALv37MGeffuyx6e5Gfyl\njz7izymXcfDw4SyHflic/cKFC/jggw/wjW98I7NwIIj7BRJ9YseSF3UZfslM38bwyiuvAABeeuml\nT/YECeITgNaiBLFNXnnlFSwtLeHJJ5+826dCENuGZvrEjuXll1/Gyy+/DABYWVkBAJw8eRJ//Md/\nDIB7Cn3zm9/sec76+jreeOMN/Mmf/AmlWBL3JST6xI7l9OnT+Ou//uue3124cAEXhAfPvn37BkT/\n1VdfRRzHFNoh7lsovEPsWP7sz/6sZzO3/8+lS5cGnvPKK6+gVCrh+eefv/MnTBC3ARJ9gpiQTqeD\n7373u/jyl7881OKBIO4HSPQJYkLOnDmDw4cP42tf+9rdPhWCuGkopk8QE/LUU0/h9OnTd/s0COKW\nINEnHnhOnDgBAJiamrq7J0IQ9wDUGJ0gCOLBgBqjEwRBEL2Q6BMEQewgSPQJgiB2ECT6BEEQOwgS\nfYIgiB0EiT5BEMQOgkSfIAhiB0GiTxAEsYMg0ScIgthBkOgTBEHsIEj0CYIgdhAk+gRBEDsIEn2C\nIIgdBIk+QRDEDoJEnyAIYgdBok8QBLGDINEnCILYQZDoEwRB7CBI9AmCIHYQJPoEQRA7CBJ9giCI\nHQSJPkEQxA6CRJ8gCGIHQaJPEASxgyDRJwiC2EGQ6BMEQewgSPQJgiB2ECT6BEEQOwgSfYIgiB0E\niT5BEMQOgkSfIAhiB0GiTxAEsYMg0ScIgthBkOgTBEHsILRtPl75RM6CIAiCuCPQTJ8gCGIHQaJP\nEASxgyDRJwiC2EGQ6BMEQewgSPQJgiB2ECT6BEEQOwgSfYIgiB0EiT5BEMQOgkSfIAhiB0GiTxAE\nsYP4/2bf8QLKe82MAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = Bloch()\n", "b.add_vectors(expect(H.unit(), e_ops))\n", "b.add_points(result.expect, meth='l')\n", "b.make_sphere()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot spin Q-functions" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "j = 5\n", "psi = spin_state(j, -j)\n", "psi = spin_coherent(j, np.random.rand() * np.pi, np.random.rand() * 2 * np.pi)\n", "rho = ket2dm(psi)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "theta = np.linspace(0, np.pi, 50)\n", "phi = np.linspace(0, 2 * np.pi, 50)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "Q, THETA, PHI = spin_q_function(psi, theta, phi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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nFjI/xytub84dVEMxFOckr6rE+CtuzHwsvqrE8qHsk7dl3DGUoABkU8YdhHt3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\nSTE1ZbQW+8YoukHExIS750T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PWRcxoqgQse9AAqcyBoVWIQZQhYBPDT5lDhRjL0xELcg0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\nkAAAAKkRJAAAQGr/P0wUW+lGW8AHAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_spin_distribution_2d(Q, THETA, PHI);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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fq78UdMRNfwuG5c0zu5/ZL2bSNO3Va3pU/aWMcDF04vd3/m/giRcueZ7z8ssv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wWMmF5ss+fjmG1TdA9R5wc3CSLhf1/8jU+9KoiL936jufK1Ha25Zc65l4AvDz1+Efj6sW3eAiQi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\n5HaqXuhDoZBPIjs7O89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zz/Dss8/yrW99i9tuu42FhQW6urr8dtPRo0c5cuQILS0t6z5B\nyrJMJBJhcXGR2dlZEokER48eJRKJVIyxr84rCS56qylfLwev7TAyMgJAX1/fhmZ9NNOGyWazvoam\nWCwihKC1tZXe3l7i8XhF2vFWoLrSs5ohe8uNP6iXz1IdlR8cf+ANBR0eHiYej3Ps2LHzEioI5/Jg\nPHt1sCVUb5EPumGmpqYoFAob4uoKtmJWS67Xg+p0ZMdxmJiYIJlM0tHRQWtrK8VikcnJSc6ePetr\nhprV0eRyOb761a/y0EMP8Zu/+Zt8/vOf3/L2cLNYzfn4/vvvr2kTeaQH4Jvf/CaXXXbZpm7vyxUX\nS6vognUVffOb3+RjH/sYMzMztLW1cfz4cR577DHGx8e54YYbePTRR4GttcKtpEnwhKDPPvsszzzz\nDM899xw//elPyWaz7Nmz5/9v786jm6rT/4G/bzdKKaQLdEvadINuQNnBUQsOVhGZVtGfM6gsgwjq\nIKhndHRQTi1QGAdFBQfXLy4zgI6oiLYVBDsKOEWcg0Nalm7pRspSuqZpm+Z+fn+Ue+cmbdKbNm2a\n8rzO4UiWW25qm/vk83kWJCQkID4+HomJiYiPj8eIESNkvYG2t7ejqqpKzBsJDw/vMQFSOtxPWLkQ\nAhrLT/FyW+RLhw06ulLJXk1NTdBqtWhtbRXPQzrMsLm52eYKjaMYjUZUVFSIc4RUKlW/r/RIxx8I\nr7W1tRU8z8NoNMLHxwdKpRIBAQF9Hn/QG0LAYjQa+9wPxrJMvbm52azSSRrQWP6/lf6/UavVCAkJ\nccpKhPB7U1ZWhsDAQERGRlp9H7EcPqrX68U8GpPJhOzsbMTHx6OyshKfffYZlixZgscff3xAe7HI\nnbocGRmJkSNHir8PgYGBqKioQFhYGDiOQ3V1NUJDQzFs2DAcOnQIQGcwFhERgdLSUrNk7cWLF+PU\nqVPgOA6RkZF46623xEBmCJD9Cxrn6c3eHB3Zq3/k1zWuU1XksoHLUCIM6xNWaDQaDc6dO4eWlhaE\nh4ebrdAI1Ugcx6GwsFCcGK1SqRAaGtrni6LJZOpygW9tbTX7dChcBISLnrD9UV1dDX9/f6jV6n7p\n+CuHUMILdL4x+vn5Wb0wW67QCBcCoYmgZVKwPQGNdGsqPDwcYWFhTrso1tTUoLy8HAqFAkFBQWYX\nP2mwarkN4+iAxpEBS08sk6Cl/ZQ8PT3B8zxaW1sREhKCiIgIp/y8SucajRw5EtHR0V1GishlMplQ\nU1ODV199FSdPnkRjYyOGDRsGT09PxMTE4OGHH8bcuXMd/Aq6J7e0OTIyEidPnjRbNbXn+OuIXYHL\nzsDeVVrNvXieAhfSdyaTCeXl5WIwU1BQgPPnz6O+vl6s0FmzZg2mTp2KsWPHOixh09q5SC8AQkBj\nNBphMpng5+eHsLAwKBSKfp/KbEk6BNLLywtRUVF9WumxddHrKaAxGAwoLy9HfX091Go1goODnRKw\n8DyPmpoaVFRUICAgAGq12upFUbr6Ju3PIiSPSlejepNXMpABiy0mkwlVVVWorq5GQEAAhg8fLq7W\nCJVOlqtv/fWzXF9fj+LiYnh7eyM6OrpP23WMMRw5cgQbN27E5MmTsX79eoSFhQHoXFUS5idFREQ4\n6vRtiouLQ15enpivMmfOHJw7d67L86wFLnKPv47I/gEc5+nN/ubfu8Al9TIFLqQfFBUVYfny5VAq\nlbj33nvh5uaG06dPo6CgAMXFxWKDrqSkJHHLKTo62uH72tKLs1KphK+vr1licFtbW58SR+UShlFW\nVFRg1KhRUKvV/ZqvYasrsoeHB4xGI3ieR1hYmNj7Z6AJeRKVlZUIDAyEWq3u9ZA9acK3dBsGQJeA\nprseQ9KAJSoqymldSXmeR3V1NaqqqhAaGorw8PBuVyaFgYbSAK67CeP2ljNLNTU1obi4GBzHITY2\ntk8VXIwx/Pzzz8jIyEBQUBA2bNiAsWPH9vrrOYqfnx/q6+sBdJ6jv7+/eFsqKioKCoUC7u7uWLVq\nFVauXGnX8dcR+YGLhzfb4de7wOX2WgpcSD8Q+rl013RJ6Jlx/vx5cYWmsLAQpaWl8PDwQGxsrJgM\nnJCQALVabfe2kmXeyJgxY6y+eQt5FtIcGiGgkXYJFgIae0i3pgIDAxEREdHrJfa+EuYItba2YvTo\n0WZzYiznVvVnl1Vhu7GyshJjxoxBREREn6YC9/RvWRt/IJR6Nzc3iy3xLT9RDxTp9yQ4OBgRERG9\nCuItt0+lW2xyV6RaWlpQUlKC9vZ2xMbG9rmZnlDSbDAYsGnTJqu9WPqLrdLmpUuXmgUa/v7+qKur\n6/Lc6upqKJVKXLp0Campqdi+fTtSUlLMAhdbx19H7ApcXh/Vu8DljjoKXMggITSyO3funLg6U1BQ\ngIqKCgwbNgxxcXFmPWgsczF4nkdtbS0qKyvh5uYGtVptM2+kJ0IljPRTfHt7u1mvEuG/lhde6fTs\nkJAQqFQqp6xqAPLmCNlaoXFUQCNMSK6urkZwcLDTVnqA/83OMRgMUCgUYv+j7vruODoJWooxJlbn\njB49Gmq1ut+CRWmlk7DFJq108vLyQl1dndie37Jpnb2qq6uRlZWF8+fPY8OGDbjlllucMs/Llt5s\n9Uhb9tNWURey/weP9fBmr/n2LnC5s4ECFzLICReVM2fOmAU0Fy5cwIgRIxAXFwee55Gfn48//vGP\nSEtL69cKIaHDqvQiLyRSent7o62tDQaDAUql0upSf38Tyry1Wi3c3d17PUdICGgsAzhpQCMNarq7\n6Ar5GhcuXEBISAjCw8OdVuqq1+vF2TlCh1kpy747/bUiJVTtabVaBAQEIDIyst9WnXo6j8bGRpSV\nlaGxsRE+Pj4wmUxmw0elf+S83qtXr+Lll1/G999/jz//+c+4++67nZI7JcfTTz+NwMBAMbn26tWr\neOmll8yeI8zzGjlyJPR6PVJTU7F+/XrMmzdP1vHXGfmBi7s32zaid4HLb5oocCEuymAwYPv27Xjn\nnXcQExODyMhIFBcX49KlS1AoFOJWk7BKI3eSdG8IM2IaGhqgUCjg5uZm9YLn6+vbr5/gpXOEoqKi\n+mWOkK2ARpj5M3z4cOj1etTV1Ynl1c4MWIRtMiHp1p6fBcsVqe5er5wZR0JvmrKyMigUCkRFRTlt\n67CjowPl5eViiXVoaKj4PbFM+rZ8vdLXKlQ8GQwG/O1vf8O+ffuwZs0aLFu2bED/f8spba6srMSS\nJUtw8eJFcByHBx54AIcPH0ZFRQVMJhMMBgOCg4PNpjaXlpbi7rvvFr9n999/vytObR4oFLhYoMCF\nmDEYDHjzzTexfPlys9UEoTW8sDoj5NDU1dVh9OjRYjKwEND0pamekDfS3t4OtVqN0aNHm30tywt8\nd1U/jujLIu1L4+vri8jISKc0axN6lZSVlaG2tlYs3TWZTGYXeFsrNI4kDViEpFtHB6+WAY1Q+SPk\nSAn5JEIvFl9fX0RHRzutDF+6AqZSqaBUKu1aEZGWqNfV1WH16tW4fPkympqaEBsbi3vvvRcTJ05E\ncnIyQkJC+vGVmJNTmqzT6aDT6TBlyhQ0NTVh6tSp+OKLL5CYmDjUpzYPFNm/XLHu3uyV4b0LXNL1\nFLiQ64S0qZ5Qsl1YWIimpiaEhoaazXGy1VSPMYb6+npotVoAnaWS9pbNdteXRdpoTu6wRmkpsbP7\n0kibpKlUKoSFhZmdd3c5NEajsV8CGiFgMRgMXYYODhQhR+rixYviID4PDw9xMvNAlDJLSROAhZ4w\nfdnGNJlM+Oyzz7Bt2zbceeedWLlyJWpqanDmzBkUFhYiKioKjz76qANfgW29yTdJT0/H6tWrkZqa\nSoGLY8gPXNy82Vbv3gUudxsocCHXOeENXegSXFBQgLNnz6KlpQUqlUoMZOLj48XHFy9eLHbTdCRp\njoX0U7w050BoFV9fX48LFy6ISZ3OyJEAOgOSiooKXL58uVcN7KwlBVte4IWBjbYIW3bODFgE9fX1\nKCkpgZeXF6Kjo8V2+T2VMksDGkd0C5bm0zgiAZjneRw5cgSbNm3C1KlT8cILLwyKzq/2liZrtVqk\npKRAo9Fg1KhRyMjIwK5du6BQKK7rqc19ZFfg8tKw3gUu97RS4EJIt3ieh1arxS+//ILdu3fjyJEj\nUKlU8Pb2RkhIiNkMp/5uqidUXDU0NECn06G+vh7u7u7w9PTsMmm7uz4l/aG9vR3l5eWora1FeHg4\nQkNDHT5I0DKnRFihsQxojEYjysrK0NLS4vSApaGhASUlJXB3d0dMTIzsHKPuxh8IAY10Vpfc3izS\nbrejRo3qcz4NYwwnT57Eiy++iODgYGRmZg54LxZHlDYDnVVls2fPxrp167Bw4UIAwMWLF8Wt3hde\neAE6nY6mNttP9i9djJs3+4tn7wKX/9duO3DhOG4egNcAuAN4lzG2xeJx7trj8wG0AFjGGPtPr06m\nBxS4EKd4/vnnwRjDmjVrEBwcjI6ODpSWlopbThqNBiUlJeB5HtHR0WY9aGJiYhySoGg0GlFZWYmL\nFy+azRGSzr8RVmmkZa7SHBpHTShua2uDVqtFXV2dUzruSgOahoYG1NbWoqOjAz4+PvDz8xNfs5wV\nGkdqampCSUmJ2BPGcvhib9nqzdJdQOPm5oa6ujqUlJRg+PDhiI6O7vP8n7NnzyIzMxNtbW3YtGkT\nJk+e7LKlzUajEQsWLMDtt9+Op556qtuvpdVqsWDBAmg0mv4+7aFGfuDCebPNHr0LXH7bYT1w4TjO\nHcB5AKkAqgD8BGARY6xQ8pz5AB5HZ+AyE8BrjLGZvTqZHlDgQgYtxhg6Ojpw/vx5s5LtsrIyuLu7\nIzY21myFRm5TPWFVw945QowxsW+HcMETAhrpCo1Q/SPna7a2tkKr1aKhoUEMWJx18WppaRFXWKKi\nohAYGNht3x3pCo2tvjt9YWtydH/qbvxBU1OT2DxxzJgxCAgI6FPQWlVVhaysLBQXF2Pjxo2YPXv2\noAtYBHJKkxljWLp0KQICAvDqq6+aPSad2rxt2zbk5+dj7969A3b+Q4TsH45ozptlufUucFnE2wxc\nbgCQwRi7/drt5wCAMbZZ8py3AOQxxvZcu30OwBzGmK5XJ2QDBS42/POf/0RGRgbOnDmDEydOYNq0\n7lfRcnNzsXbtWphMJqxYsQLPPvssAPlTUol9pE31pF2ChVlFcXFxYjCTlJQkBiYlJSW4cOECPD09\nERER4bBpwNLW+NKARvj0Lr24C8MLDQYDtFotGhsbERkZiaCgIKddvAwGA0pLS80Clp7OxbJsW5hS\nLKeRoC1CPk1raytiYmKc+vui1+tRUlIiBk+enp5d5jlJm831tK1YW1uLl19+GT/88APWrVuHu+66\na9D2YhFYK02+cOECVqxYgezsbBw9ehQ333wzJkyYIL6erKwszJ8/f6hPbR4odgUuG9G7wOUB2Axc\n7gUwjzG24trtxQBmMsZWS57zFYAtjLGj124fBvAnxtjJXp2QDRS42HDmzBm4ublh1apV2Lp1a7eB\ni8lkwrhx43Do0CGoVCpMnz4de/bsQWJiIk05HWDSpnqWYw8MBgO8vLxw77334sYbb0RSUhKCgoL6\n9cJh+eld+G97ezsAYPTo0QgKChJXaAY6cBFKrPV6veyApSfSsl7p65UGNN2NepCei7PzaVpbW1Fa\nWgq9Xo+YmBibPUSEbUXL0m1havuBAwcwduxYaLVa/PDDD3jyySexdOnSAevFYu1DlfT8165di+zs\nbPj4+OD999/HlClTZB1LBozsXwSO43IB9HbGhjeAVsnttxljb1/7uhS4uJo5c+ZYDVx+/PFHZGRk\n4JtvvgEAbN7cuXL23HPPUetqJ2OMYdmyZdBqtVi9ejXCwsLE7aaCggJcunQJo0aNEiuchLEH/dFU\nT1pKLJRXC0GNMGmb47guCbKOqICxJAQJzc3NiIqK6tInpz8InZEtAxp3d3d0dHTAZDKJ5d7Oah7X\n3t6OsrIy1NfXIzo6uk/fF8YYampqsG3bNvz888/geR4cx6GtrQ0qlQqrVq3CggULHPwKzNn6UCXI\nzs7G9u3bkZ2djfz8fKxduxb5+fmyjiUDxun7iINtq8g5LTeHkOrqaoSHh4u3VSoV8vPzAXRm1AvL\noiEhIWLfCTIwOI7DunXrMHbsWPECdOONN4qPC031hNWZL7/8Eps3b0ZdXR0CAwPNOgQnJCRAoVDY\nfSFrbm5GWVkZ2traujRrs0w0lSaM1tfXo7q6Gq2trWbTiYUcmt70KLEMWBISEgZsVcPT0xP+/v7i\n1o8QJNTV1SEkJASenp7Q6/XQaDTiCk1308X7g9Dt9vLly1Cr1Rg3blyfvi8mkwn79u3Dq6++igUL\nFiAnJ0fM0WGMobq6ekC+7ydOnEBsbCyio6MBAL/73e+wf/9+s+Bj//79WLJkCTiOw6xZs1BfXw+d\nTgetVtvjseS68hOAsRzHRQGoBvA7APdbPOdLAKs5jtuLzuTchv4IWgAKXGyWAqanpzvs3+E4rts3\nKzl5MOfOncNvf/tb8XZpaSkyMzPxxBNPICMjA++88w7GjBkD4H97y6TTuHHjrD7GcRwCAwMxe/Zs\nzJ49W7xf6Jgr9KD5+OOPUVBQgMbGRrGpnrTKqbumekL3X6PRKA5h7Oli5e7ujpEjR3bpY2MymcSV\nirq6OlRWVqK1tRXu7u5d8km6C2icGbBYMhqN0Gq14pRza0GCNClYaOfv6IDGZDKhsrISOp0O4eHh\nmDFjRp+2Dnmex+HDh7Fp0yZMnz4dubm5XbrcchwHlUrV63/DHrY+VNl6jjC0s6djyfWDMdbBcdxq\nAN+gsxz6/xhjBRzHPXLt8TcBZKOzoqgYneXQv++v87nuA5dvv/22T8crlUpUVlaKt6uqqqBUKgEA\nwcHBYla9TqdDUFBQl+O3bNmCuXPninkwW7Zs6ZIHExcXh1OnTgHofLNVKpXinA8AePLJJ6kzpQNx\nHIfg4GAEBwdj7ty54v08z0On0+H06dPQaDTYtWuXWVO9hIQE+Pr64ttvv0VaWhoefPBBhySXuru7\nY9SoUV1WaIQeJc3NzaitrUV5ebm4/SIEMY2NjeLwQ2cHLEIHYLVajZiYGJtBgqenJ/z8/LpUE1kL\naKSjAKRJwd29Xmm329DQUMyYMaNP3W4ZYzhx4gQyMzMRFhaG3bt3IzY2ttdfj5DBiDGWjc7gRHrf\nm5K/MwB/GIhzue4Dl76aPn06ioqKUFZWBqVSib1792L37t0AgLS0NHzwwQd49tln8cEHH3S7grN/\n/37k5eUBAJYuXYo5c+bYTOA9fPgwYmJioFb3LnOc9J6bmxuUSiWUSiXmzZsn3s/zvLjN1NjYiAkT\nJmDfvn3YvXs31Gq1uDKTlJSE2NhYqxdUe3l4eEChUHSZUN3c3Izi4mJcvXpVnNVUUlIizlwaiO0X\nQUdHByorK1FTU4Pw8HDMnDmzT6sacgMarVYrljBLk4JbWlpQVVWFoKAgTJs2rc89ac6cOYPMzEwY\njUa88sormDRp0qApbbb1oaqn5wg9jmwdS4izUHKuDZ9//jkef/xxXL58GX5+fpg0aRK++eYbs1JA\noDPB7YknnoDJZMLy5cvtmnJqb0vt5cuXY8qUKVi9ujOZm1pqOx9jDE8//TQWLVqEqVOnivcLTfUK\nCgrEPjTFxcVmTfWEbSdHNNVrbW1FWVkZmpqaEBkZiTFjxphdRKUXd2sVP45qMicdOigEe31Z1egt\nISm4pqYGly5dgpubm9gdWfp6ba3QdKeyshJZWVkoLS3Fhg0bBmUvlo6ODowbNw6HDx+GUqnE9OnT\nsXv3biQlJYnP+frrr7Fjxw4xOXfNmjU4ceKErGPJgBlcP1iDAAUuA8BRLbXb29vFypjg4GAA8lpq\ny+0nI8wJcnd3h4eHB06ePGnX8UQeo9GI8+fPdynZdnNzQ2xsrFn+TGRkZI8XfCFgaWxsRFRUVJeA\npSeWPVmkTebsHdTI8zyqq6tRVVWF0NBQhIeHOyVgEVy9ehUlJSUYMWKE2fRoIYiTvm5hhaa7HBrh\n+3nlyhW8/PLLOHr0KJ5//nmkp6cPSC+WnkqT//GPf+Avf/kLGGMYOXIkdu7cieTkZGRnZyM9PV3M\n51IqlVixYgUA4JFHHgFjDKtXr0Zubi58fHywa9cusXrS2gcyMuAocLFAgYuT2VMyvX//frzxxhs4\nePBgt49ba6ktt59MZGQkTp48idGjR/fqeNJ7wiDIc+fOmXUJljbVEyqcEhMToVQqodVqcfToUcTF\nxfUqYOmJMAZAGtB0dHRg2LBhXVYr3NzcoNPpUFFRgeDgYERERAxYr5LuNDY2ori4GB4eHoiJiRGH\nMfako6OjS9n2W2+9hVOnTkGhUKC0tKgu5HQAAA/qSURBVBT3338/1q5dC5VKNSCrLHJKk48fP46E\nhAT4+/sjJycHGRkZYjKttd9r4jIocLFAOS5OJicPRrBnzx4sWrTI7D5pS+3PP/8c48eP73KcvXk0\njj6e9IzjOHh7eyM5ORnJycni/cKYgTNnzuD06dM4duwYXn/9dWg0GgwfPhyzZs1CQ0MD9Ho9EhMT\nHdpUz8vLCwEBAWbbm4wxs7lGVVVVqK+vR2trK4YNG4bAwEB4e3tDr9fD19d3wFdbmpubxRlXsbGx\nds828vDwMMuhaW9vx5QpU6DRaDBjxgwsXrwYRUVFWLlyJXQ6HQ4fPozAwMD+eCkiOWXNv/rVr8S/\nz5o1C1VVVf16ToQ4EwUuTvbss8/ivvvuw3vvvSfmwQDokkej1+tx6NAhvPXWW2bHP/PMM11aaluS\n20+G4zjceuutcHd3x6pVq7By5Uq7jieOJzSlmzZtGqZNm4Z33nkH33//PXbu3Ilbb71V7BJ86NAh\nvPbaa7h48SJGjRpl1oPGkU31OI7DsGHD4OXlBaPRiKamJowZMwZqtVrsXNzc3Iyqqiro9XqYTCZ4\ne3t32XJydEAjjC0wGAwOGRVgMpnw6aef4rXXXsNvfvMb5OXldUmCHij2lia/9957uOOOO8Tb1n6v\nCXFVFLg4WWBgIA4fPtzl/rCwMDFoAYARI0agtra2y/M++ugjAJ15NKWlpUhNTTV7fNOmTWa3rfWT\nAYCjR49CqVTi0qVLSE1NRXx8PFJSUmQfT/rfPffcg4ceekhcVbnhhhtwww03iI8zxlBXVyduN335\n5ZficLzAwECzHjSJiYl2N9VjjIllyAqFApMnTzbrdOvt7W22AiHMlRICmsrKSuj1evA8321AY+9q\nUXt7O0pLS9HY2Ijo6Og+B2g8z+PQoUPIysrCzJkzu+3FMph99913eO+993D06FHxPjm/14S4Egpc\nhghb/Wjk9JMBIJY7BgUF4e6778aJEyeQkpIi+3g5SbyVlZVYsmQJLl68CI7jsHLlSqxduxYAqJme\nDLbm5gCdgWVAQIDNpnoajQaffPIJCgsL0dDQgJCQkC5dgi2b6vE8j9raWpSVlcHX1xfJycliomtP\n5zN8+HAMHz7cLMdCCGiEHJra2lpxxo90aKGvr2+3U5iNRqM44TsyMhJxcXF9ClgYY8jPz0dmZiZU\nKhX27t2LmJiYXn89R5JT1gwA//3vf7FixQrk5OSYBY/Wfq8JcVWUnHsdkDOaXvgUPHLkSOj1eqSm\npmL9+vWYN2+erOMBeUm8Op0OOp0OU6ZMQVNTE6ZOnYovvvgCiYmJyMjIgK+vLzXTG0BCUz2hS3BB\nQQHOnj0LvV4PpVKJxMREuLu7Izc3F8888wzmzZsHHx+ffjsfy6GFzc3N4hRmHx8fDB8+HK2trWhs\nbERERASUSmWfc3oKCwuRmZkJnuexadMmTJw4cVCtKsopTa6oqMCvf/1rfPjhh2b5LrZ+r4nLGDw/\njIMEBS7XATmj6UtLS8VuvB0dHbj//vvt6kcD2FchJUhPT8fq1auRmppKgcsgwvM89u3bh02bNoHj\nOMTHx6OkpARtbW1Qq9VmQynHjh3rsKZ61gjzhC5cuCDmyBgMBgCAj4+PWYWTj4+PrHOprKzExo0b\nUV5ejg0bNiAlJWVQBSxS3ZUmv/lmZ9PSRx55BCtWrMC+ffvExpRCOwNbv9fEZQzOH0onosCFOIy9\nzfS0Wi1SUlKg0WgwatQoaqY3iPA8j6eeegorVqwwq1QzmUwoLS0Vt5w0Go1ZUz1hyykhIQExMTF9\nbmQnTFkuLy8Xk4ClZdY8z6OlpcWsfLmlpQUcx4kBjdBcTuhRdOXKFWzduhXHjx/H888/j7S0tAHp\nxQL03I8lLy8P6enpiIqKAgAsXLgQ69evl3UsGbIocLFAgQuxi6Oa6TU3N2P27NlYt24dFi5cCMB2\nM72e3rQZY1i7di2ys7Ph4+OD999/H1OmTJF1LOk7o9GIoqIisx40QlO9mJgYs4RgOU31pEnA/v7+\niIyMtGs8gRDQCDk03333HXbs2CFOBJ87dy4efPBBJCcnIyIiYkACFzn9WPLy8rB161Z89dVXdh9L\nhiwKXCxQci6xiyOSgI1GI+655x488MADYtAiHC94+OGHsWDBAgCdb9p/+MMfzN6009LSzN60c3Jy\nUFRUhKKiIuTn5+PRRx9Ffn6+rGNJ33l6eopbRwKh58vZs2eh0Whw6tQp7N69G1qtFl5eXhg3bpwY\n0CQlJYn5Kl9//TX8/f3h5+cnOwnYkpubm7h91NbWho6ODnh7e2Px4sWYM2cOiouLceLECezatQtL\nliwx+znsL3L6sfTHsYQMNRS4EIeR00yPMYaHHnoICQkJeOqpp8wes9ZMT86b9v79+7FkyRJwHIdZ\ns2ahvr4eOp0OWq2W3vCdROj5YqupnkajwfHjx/Huu++iqKgIer0eYWFhSEtLw+TJk+Hv74/g4OBe\nrYiYTCZ88skneP3115Geno6jR4+KvVhmzJjhsNcpl9x+LMePH8fEiROhVCqxdetWJCUl2d3LhZCh\njAIX4jBymukdO3YMH330ESZMmIBJkyYB+F/Zs7VmenLetLt7TnV1Nb3hD0KWTfXa29uxaNEixMfH\n409/+hM8PDxw+vRpHD58GK+//rpZU734+HgkJSUhISFB3Fa0xPM8Dh48iM2bN2PWrFk4ePCg2Wre\nYDZlyhRUVFTA19cX2dnZuOuuu1BUVOTs0yJkUKHAhTiMnGZ6N910E6zlVQnN9Mj1xcvLCxs2bDBb\nBZs1a5b4d6GpnpAMfODAAbEsPyAgQJyynZCQAIPBgFdeeQXh4eH4+OOPxZW2wUBOPxbpiIL58+fj\nsccew5UrV2T3ciHkekCBCxn05LxpW3uO0Wi06w2/t1N4AevTtUnPbG3dCU31UlJSzBqnCQm8QkCz\nZ88eHDt2DJ988smg68UCANOnT0dRURHKysqgVCqxd+9e7N692+w5NTU1CA4OBsdxOHHiBHieR2Bg\nIPz8/Ho8lpDrBmPMnj+EDDij0ciioqJYaWkpa2trYxMnTmQajcbsOV999RWbN28e43me/fjjj2z6\n9OmyjxV0dHSw6OhoVlJSIj63oKDA7DnHjh1jV69eZYwxlp2dzWbMmCE+plar2eXLlx350skQ8/XX\nX7OxY8ey6OhotnHjRsYYYzt37mQ7d+5kjDG2fft2lpiYyCZOnMhmzpzJjh07ZvNYcl2w9zo95P9Q\n4EJcQk9v+DzPs8cee4xFR0ez8ePHs59++snmsd05fvw4u+2228TbWVlZLCsry+rzr169ysLCwsTb\nFLhcP3Jycti4ceNYTEwM27x5c5fHX3rpJZacnMySk5NZUlISc3NzY7W1tYyxzp+T8ePHs+TkZDZ1\n6tSBPnXiepweKAy2P9THhZBrPv30U+Tm5uLdd98F0Jlzk5+fjx07dnT7/K1bt+Ls2bPi86OioqBQ\nKGgK7xBnb0+VAwcOYNu2bThy5AiAzi3FkydPms1uIsSGwbXnOQgMTLtIQoYYYQqvdBbT0aNHcerU\nKeTk5OCNN97A999/b/Nr5ObmIi4uDrGxsdiyZUuXx/Py8qBQKDBp0iRMmjQJmZmZso8l/Udanu/l\n5SWW2FuzZ88eLFq0aADPkJChjQIXQq6xdwrv/v37e5zCa43QGC8nJweFhYXYs2cPCgsLuzzv5ptv\nxqlTp3Dq1Cmx9bvcY0n/sFZ6352Wlhbk5ubinnvuEe/jOA633norpk6dirfffrvfz5eQoYYCF0Ku\nkVZ9tLe3Y+/evUhLSzN7TkVFBRYuXIiPPvoI48aNE+/X6/VoamoS/37w4EGzGT+W7P3U7qhjycA6\ncOAAbrzxRrOhpPauzBFCzFHgQsg1Hh4e2LFjB26//XYkJCTgvvvuQ1JSEt58801xEm9mZiZqa2vx\n2GOPYdKkSZg2bRqAzjlLN910E5KTkzFjxgzceeedmDdvntV/S+6ndqGL6h133IGCggK7jiX9w56e\nKnv37u2yTWTPyhwhpCvq40KIxPz58zF//nyz+x555BHx7++++66YjCsVHR2NX375xaHnQl1UByc5\n/VgAoKGhAf/617/w97//XbxPr9eD53mMHDlSXJkTtgAJIfLQigshTiC3i6qvry+AzoDKaDT2qotq\nT4m8f/3rX8UE4PHjx8Pd3R1Xr14F0FkBI4xnEFaXrndyVuaAznlbt912G0aMGCHeZ+/KHCGkG3bW\nTxNCHEBOYzydTsd4nmeMMZafn8/Cw8MZz/MOb6on9eWXX7JbbrlFvD2Ue9P8/ve/Z2PGjGFJSUnd\nPs7zPHv88cdZTEwMmzBhAvv555/Fx3rq40KIAzm9b8pg+0MrLoQ4gZxP7Z9++inGjx+P5ORkrFmz\nBnv37gXHcVaP7Q6V7lq3bNky5ObmWn08JycHRUVFKCoqwttvv41HH30UAFV1EeJs1ICOkCHMnqZ6\nLS0tUKlUKC4uFqtghnpTPa1WiwULFkCj0XR5bNWqVZgzZ44YyMXFxSEvLw9arRYZGRn45ptvAACb\nN28GADz33HMDd+LkekIN6CzQigshBIBjSneXL1+OoKAgq6XgjDGsWbMGsbGxmDhxIv7zn/+Ijw22\npnrWqreoqosQ56LAhZAhbKBLd2n7hRDS3yhwIWQIk9NUD/hf6W56erp4n71N9QAgJSXFbMXG0v79\n+7FkyRJwHIdZs2ahvr4eOp1uUDbVsxb02VvVRQhxLApcCBnCBlvprittv6SlpeHDDz8EYwz//ve/\noVAoEBoaKjsYJIT0D2pAR8gQ11NTPaBzi2fZsmVm9/VHU73BZNGiRcjLy8OVK1egUqnw4osvwmg0\nAuj8/syfPx/Z2dmIjY2Fj48Pdu3aBcA8GDSZTFi+fLnVqi5CiONR4EIIGTDWtlmMRuOAb7/s2bPH\n5uMcx+GNN97o9rHugkFCyMCgrSJCyICh7RdCSF/RigshxGFo+4UQ0t+oAR0hhBAyeFEDOgu0VUQI\nIYQQl0GBCyGEEEJcBgUuhBBCCHEZFLgQQgghxGVQ4EIIIYQQl0GBCyGEEEJcBgUuhBBCCHEZFLgQ\nQgghxGVQ4EIIIYQQl0GBCyGEEEJcBgUuhBBCCHEZFLgQQgghxGVQ4EIIIYQQl0GBCyGEEEJcBgUu\nhBBCCHEZFLgQQgghxGVQ4EIIIYQQl0GBCyGEEEJcBgUuhBBCCHEZFLgQQgghxGVQ4EIIIYQQl0GB\nCyGEEEJcBgUuhBBCCHEZFLgQQgghxGVQ4EIIIYQQl0GBCyGEEEJcBgUuhBBCCHEZFLgQQgghxGVQ\n4EIIIYQQl0GBCyGEEEJchoedz+f65SwIIYQQQmSgFRdCCCGEuAwKXAghhBDiMihwIYQQQojLoMCF\nEEIIIS6DAhdCCCGEuAwKXAghhBDiMihwIYQQQojLoMCFEEIIIS6DAhdCCCGEuAwKXAghhBDiMv4/\njxvo5G6u82EAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plot_spin_distribution_3d(Q, THETA, PHI);\n", "\n", "ax.view_init(15, 30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Combined 2D and 3D" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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xhi5MopXGMDRah9gJExVFkEpiWGAojTItTNNHRyGGUmgAFaC0iY7bGGi0YaBs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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14,6))\n", "\n", "ax = fig.add_subplot(1, 2, 1)\n", "f1, a1 = plot_spin_distribution_2d(Q, THETA, PHI, fig=fig, ax=ax)\n", "\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "f2, a2 = plot_spin_distribution_3d(Q, THETA, PHI, fig=fig, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot spin-Wigner functions" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "W, THETA, PHI = spin_wigner(psi, theta, phi)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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3V5cJLqeWnqcoihgZGaGtrY3Tp08vWHlYLIQtV+GY/7ri2ARXv/TvuP+DvyL/\ncJTS2Hj582GICQKUAhP46LoU2kRoDFYygSnmIQQV+CgFuD5ojZVwUJFBWxqtIyzPIyrliLKTZEce\ncOvq2/R//Y+w69PEWnbRePI5Oj/wizQ9dXzRe97KlaelxONx2traGBoa4vTp09Wq1MDAwIb0SlXU\n8jO+XOVp0yjWc1T5l4BXgD9Z8FJKZYB/CXzAGDOolNq9XheeT8LTFiDBSQghxJNodn+TUgrf9ykU\nCrS3t3Ps2LFlg8RyQQYeDVmjo6Ncv36d5557joaGhjnH1HKupUJWqVTi+vXrJBIJjh1b/P/ta1m2\nN9FznWuv/kse/vXblMYmCAtFsDR2IgZBiDKGyPPQiRhBPo8ByObAUpiYjeVYRFqjwxBjOSitMETo\nRJzQL2EwOH5ASISOaTQRng9WUqMt0CYkLOVxhwqMjvYz9tffJ9bSQKJtH63nfpaOn/sQ1rzAux3D\nU+XaWutle6UWq0qtx1CQWqbtFYvFmjZJ3gzrtWzPGPNjpdTBJQ75KPANY8zgzPHD63LhBUh4EkII\nIdUnsaEq/U2+75eX9mhNNpvl0qVLxGIxjhw5suw5ag08laBijGFwcJCHDx9y7ty5OXsf1Rpmljpu\nenqaS5cusX//frLZ7KrPs5Di+CQX/9kf0vcXf4k3mUXbFlHJIwoDTBShooggjLASDlpbEIWYQhEd\ni2GiEEyIiQyW7+MXgMDHaAgig1LgOIoYPoEfEHcgNOU+/1IhJNWSJmZcdCKOUppIWTgxhaUCfC8E\n7RKVpijcdxn8bh93f/x16g+doP0//TvsOvmfrDlAbGZ4WmwQw2K9UvOrUslkckv0PG0axUqm7bUq\npd6c9e9fNMZ8cQVXexpwlFI/BNLA/2GMWbBKtVYSnjaZVJ2EEFuFBCixERba+HZoaIhbt25x6tQp\nenp6ajrPSqpFQRBw/fr16qjz+Q+jKw1i8w0PD3Pz5k1Onz5NEARMT0/X9B6Wc+d7P+Hi5/81Uzf7\nCQoljIKo5EHMQccslG8ACy9fQGlF5LoYBU4qAY6N1hoVcyAMIW6Vl+MpUMTLoQmDgfLHHI3tRBhb\nYVkaCxfLsdGRRxApgnyJKAZOTBOFClNfTzyjsR2bKNJEMY1VrwmKBabuXSX7nX5u//Df0HDgeaLO\nrlV/DdYSnjZiTPhCVamxsbFqVcr3fUZGRlbdK1XLPZRKpS3Z8wRqJZWnUWPMuTVczAbOAn8bSAJ/\nrZT6G2MBToveAAAgAElEQVTMjTWcc9ELiU0iwUkIsdVIgBKP0/z+JoDe3l6mp6fp6urCcZzqcrxa\nHlprCTwA3d3dtLW1cfDgwUV7kGoxPzwZY+jv72d0dLR6/9PT06veSLdyzouf/yNuf/1bFIbH8Sam\nUI6NnUrg54tEvo8JfCKlsNN1oCDRWI8xYIKAIPDRjo0/XcIABoPSBu0pSMTx3dLMTVD9p1YQb6oj\nzOdBlatRKFAKUmm7fA4FUaQwqQR2ykIbnzCvIWPhpDTadyncC0keaQajCV0fz84xdvt1ogc99Nz/\nK46+9BFS6ZYF3/diNjM8reba8Xicjo4OOjo6cF2Xnp4epqenGRgYwLIsmpubV9QrVcufhUKhsCWX\n7SkF2lnfPdmWcBcYM8bkgbxS6sfA84CEp51CgpMQYquSACUeh/n9TWEY0tPTQ11dHWfOnKk+SFZC\n0XqEp2w2y9TUFMePH2fv3r1rfg+ze56iKOLKlSsAnD17tnq/q9kLquLyF/4NN/7wz8gN3CPW1IDx\n/HKy8QICP4dKJnASMQgjwpJLWHKJPL/6eqPAsjVRGGKlkmhHozTl5XZRiHKsmaV9Mw/tJsIYyk+5\ndgyrTmM5Cm2BMqAwRFrjpCJUGEAY4k/mwcRJpB0cG6LpAvkoRrwpRTyeIJqKoCWG8YpE40Wcwx1o\nx2Zq6BrnX/1fcBr3sP+5l9mz7+maJyWuJTytZYPZ9digdvYy1NlVqUKhUN1Xarmq1HLvfysv29Mb\nN6r8VeAVpZQNxICfAX7vcVxIwtMmkOAkhBDiSeK6LkNDQ+zevRutNfl8np6eHg4cOEBHR8ecY9dr\neENlKV0mk6GpqWnN7wHeHVLh+z7d3d20trY+Us1aTXi6/id/zoX/9f+iNDKKUhplwB2dxE7X4SST\nRK5H4PuoQpHyV0YRa2kg8jyseKw8XU+B8TyUbRPkihgMelY2MUC8sR4vPw0GIiAKy//UGup3NVEY\nLy83TMw8h2s18+BupdGhB0qhtIVfUsSbYhgLLEthigY/FWCMjwmLxCyNaq8jmY4TFl28KI4Vs9Ao\njOVy+9I36LuSIbWri/Y9HdX+oIVs5z2m5oev2VWp+b1SlmVVN+hd6QS/Uqm0JStPoNYtPCmlvgq8\nj3Jv1F3gtyiPJMcY8wfGmKtKqdeAHso/1n9ojFl+/4FVkPAkhBDiEVJ9Euuh0t9UKpUYHBykra1t\nwWl3s62k/2ih42YvpTt37hzXrl2reXlfLdcslUqcP3+eo0ePsnv3o9OQVxKeht7s4ae//j+Tv/MA\nb3SSSINdnyr3iRgIsjmcdB2RibDicYzroYBIGYJ8gdD1ANBANLPMLlYXw3c9jALt2GjLRlmaSIFO\nxEjGM+UJfEpBVF7Yh9IoxybZlMEQEY8biCLMzAaxYQiWAqXBROWqV3Y4It0cJ560iYKA0oOAxMFm\nYjEbyw4IsyFhg41XLBBOPEQdPoTTnCKcKuBFCWKNHrnxNxkxBxkb68TzPDKZDK2trTQ2NlZDx1qX\n7a1n+FnP1y/WK3X79m2KxWK1KlVLeCyVSluy8qRWNjBiScaYj9RwzOeAz63LBZcg4WmDSdVJCLFd\nSIASazG7v8myLMIw5Pbt24yMjDwy7W62lVSe5h8XhiHvvPMOlmVVl9ItV6FaiUKhwPDwMGfOnFkw\n+EFt4SnwPAb/6b/i+l/3YKIQYxTEHbTvE0znMDMTCAkjglyB0ESoIGSmFQkrlSQoFLBiMbRlYXwf\nOxUrn9wYLKu8dC/yQyI/qF5XW5rC1DSWrVCUq1HM/DPR1EhxchLbBlNUKCrBw5SX59ngxGwsS2Ms\nB6s+iR03KBUCGuUHRL4LKYOddMArURxzcFIpYi0af3yCqClD6OdwlIebOID2XR6MPaAhleXpZ34W\nreMMDw/T29tLMpmkpaWFMAw3LTxtZPharCpVKBR4++23l6xKFQqFLRmeYEOX7W0YCU8bSIKTEEKI\nJ8H8/ialFPl8nmKxyLlz55Z8oFxteHJdl+7ubvbs2cP+/furH691P6jl3L17l5GREfbv379ocKpc\nb6nwNPDdH/P6P/mn5Abv46TrCcbzRBicdD1hEGEBgTFEYYidTBAVS2gU2nHKk/P8AO3YhEoTeh4h\nCgvwsgWUohxuwghQhJHBttTMTD0gjFBKY0KIVFQdCjHzSWxboTXlNFX9hEKHPkorvLxLPK4JQhcv\ncInZcYhZeG6Adhzi6SSJlMYrgpv1UNrD2ZtBWYqgkKc0MELyUDsqYVO6PUhJN5Joq+PepGLsjR+y\nu62TF8/8LFpb5PN5xsbGqhsaNzc309raSjqdrjnQbOXK01JmV6XGx8c5ceLEglWpSq9UsVhcdGnq\na6+9xqc//WnCMOQTn/gEn/3sZ+d8/nOf+xxf/vKXAQiCgKtXrzIyMkJzczMHDx4knU5jWRa2bfPm\nm28udIlFKQW2vW6b5G4ZEp6EEEIsSqpPYqWCIJizf1OxWOTixYtYlsWJEyeWfb1lWSsOT5U9lo4f\nP05LS8sjx621b+bGjRsUi0UOHTq07PGLhacoDPnRxz/L4Lf+A2omnHjjU+iYjZOIE0znMZRDT7lV\nSZWrSqkkulBC+QGh72NQmNDHMoaQWcFAa5xUAuN5OKkkJghQjo3RCk1EFAQoImJxpzwNAspNTRg0\nBisMwHHQdvn7piwNjkXCiUCDo0JCy0YHbvlaMY2twSv4aCeOCj2cmCE/VsIrBMTTDsqUlx+WRl2I\nDMqdhNRh/LEpEskQN9VOnjpSeoJxN07x4ST3v///8be63kNrSxv19fWMjo7y7LPPMjk5yd27d8lm\ns6TT6WolxnGcRb8Xaw0/mx2+Kj9HS/VKff3rX2doaIj3vve9j9xvGIZ86lOf4vvf/z579+6lq6uL\nD37wg3P+HH7mM5/hM5/5DADf/OY3+b3f+z2am5urn//BD35Aa2vrKt+BWvPAja1o572jLUqqTkKI\n7Ur++yVqYYzB9/1qcFJKMTExwYULFzh27BixWKym86y08vTw4UMuX77M6dOnHwlOsLbKUxAEdHd3\no7Xm+eefrynYLRSeRruv8v92fYj73/sJUb6EFXdQYVTuVfJ8jB+Ul+OhsdIpjFYo2yLKFQgLRUIM\nEQYLhe04OHUptG1jK4WViIGlsUIDliYKArxsjrDk4k3nCKdylCbzeIUSkethAp9wJohFnkfklzfH\nDY3C93z8ok+pWMItFAjzWaJigdJUntAPKE7miIKAyDbYtsZEEOk4jm1hZ9J40yFeNqC+OU4qHaM4\nNkX+7gROvSbZniaRiRM8mMZKJYnt3U184jrunbuEKkmd5TMyPkZ2aoqv/vsf8frF80D558pxHNra\n2jhx4gQvvvgie/furVakLly4wMDAALlc7pGv+2aHn8U22V3L9StVqSNHjnDu3Dk+9alPobXmG9/4\nBqdPn+Zzn3u35eeNN97g6NGjHD58mFgsxoc//GFeffXVRa/31a9+lY98ZNnWopopBdpSNf3aTqTy\ntAHkwUMIsd1JBUosZf7+TUopBgcHuX//PmfPnl3RBp4rGRjx8OFDjDHVPZbWcr75SqUS3d3d7Nu3\nj87Ozuo1VzpJr/uf/SHX/vn/TXF4HCuVwHJsShPlqXaWZRFvqMefmCYiQqGIsnk0ipAIZVlYYVSe\nepeIEZY8tO8T+R4BBlspVKn8ewtFWPLxQkPMUoTGYClFBFhKlc8ZKcLw3aWUzPSjzBSgsGZ+o4CU\nowgM+D44tiLEQSkf37KxFCRsQ3bCQzs+KdshW9BYyiHTniQKDflxg93QSP2+BiI/JHtrBJ2IETuQ\nQMUcguFpUg0xxu39lNA4vgvK4X7QQDqc4C+7bzE4PMa+hqZHvr4NDQ00NDRw+PDhRwYtNDY2Vpe0\nbXbP00aMSj948CB79uzhk5/8JO973/t4+PBh9XP37t1j37591X/fu3cvr7/++oLnKRQKvPbaa7zy\nyivVjyml+Lmf+zksy+JXf/VX+ZVf+ZUVvwfpeRJCCCGEmGV+f5MxhitXrhCGIV1dXTXv5VOhtSYM\nwyWPCcOQ+/fvY9s2XV1dSz7grmbZ3tTUFJcvX+bEiRNzeklWGp7+6td/m9v/9jvlkeIxB1MolUOP\nU+5dMmGElysABhuNAayGNPg+quhiCMtVJ2Owiy5giGIOyvOxUASmHKAspVCpBBRLxOtS5f11iNBB\nWJ54FkYECpyZh/HQGBKWIlSGIDI4lsL2XUpRuaIUs8BVNkkdEjoOqACTiNOQjPDtBAlVopArb75b\nF7cYz0bUt8dIZ2IUx1yKpZBMR5JifZLivSxBGJLeX54qlxsaJ/RC6o50oLTGeecqQWIX/q497FKj\n5B7eI59uJioWeKcvxy1niH2HjtC5e+GlY/OXtE1NTTE6Osrt27er3/vV7oO0WT1PK3195f05jjMn\nLK3EN7/5Td773vfOWbL3k5/8hM7OToaHh/n5n/95jh8/zksvvVT7SRXlyZE7jISnx0yqTkKInUKq\nT2I+13XxfR/LstBa47ouFy9eZPfu3Rw4cGBVf2u/XNipVITS6XRNwwNWsmzPGMPw8DC3bt3ihRde\neGTvnFrDk+/7fPvnf5mxN6+gtCIoumhLoxIxrDDC+D4RYDsOJixXnFR9kihXJJiexkITEKFR2DO/\nDwFLafACdH0dyvXQQBD4aGMgXywHqEKxWonyMOUHWCBmazxjSFiaKDLlypRW5TCnVbl/ykBMQ8GL\nSCmfrB9h+yGWY8i4U0yXDE2NIblSRCwRkYhrJvKwa18C21bkJ8BOWTS32IyPuCgKNB5JoG2bwuA4\npVJI+qVDKMvCH5+GwOA4SYJdezCjQ+CVKMVb8ErQ6GUZzCVJxjz+xb/9Jv/1z7/EC8eOLPm111rT\n1NRUDbwjIyMMDAxw/fp1fN+nqamJlpaWOaPQl/t52Oxlf7WGp4X2eers7OTOnTvVf7979261ijrf\n1772tUeW7FWO3b17Nx/60Id44403VhSe1Dru87SVSHh6jCQ4CSGE2Ikq+zcNDAyglGL//v3Vas2x\nY8cWbTCv5WF0qcrT5OQk77zzDidOnKBYLOK67rL3upJlgH19fUxMTCy6DLCWc5XGJhj4+/8jZIuY\nkktkImLpOsJsHhO6hBgsZWEZg/EDwpmQpHNFFAbLcYj8AHumLV031GHnCvgmAtsm8D3sXIEIQ4iZ\nWeJn0Fphl1w8Y3Aqy/VQKANGQ1DeuomCX14GWDIGh/LHSoEB28KYkKwb4VjlXUbr4hqjwbEUxcCm\nIREwMRnQ0KDx/ZCJULFnv4M75eGmUtSnPMKiYeShT/3zu0k1ObhjBQIdI7UriXe/QGnwIWFkUX+k\nHQBrLI89OULQ2gbA3oE+7riGiUQHncEQIyVwifiTv/gBQ//ZNB94zwvLfi8r4vE46XSaY8eOEYYh\nExMTDA8Pc+PGDerq6mhpaaGlpWXRfrztUnlabJ+nrq4uent7uX37Np2dnXzta1/jK1/5yiPHTU1N\n8aMf/Yg//dM/rX4sn88TRRHpdJp8Ps/3vvc9fvM3f3NF968U2M7OG68g4UkIIUTNpPokKoMhwjDE\nsiyCIOD+/fsMDAwsWK2pqFRtaglPCwWUyjXOnDlDMpnEdd01baY7WxRFFItFisUiZ86cWfSBdbnK\n0/jlG/zww58mGBpHa41dn8LP5Qmz+XKYicexXQ+MgUQMU3LLwQlFpBVWLIYpeRi7/HXVKJjOz4wa\nNyjHwvYVwUx/VLkqZbCw0DEHE7OI5YvlCXsxB0oeKp2CfIEokSBRKhE4NnYY4Nsax4RElsZRBh9I\nORrPdkgqHz+WwIpKhHYccFGRwVUJ6pMu+TBOXZ2hPq4ZuV+guS2BFZYYueeTbo4R252EqSIT0y5N\nB+qJ4zHdN41u30tqTyMA2WsDWE2NmEQzsV1NcKePMNWEbTkEySQN2fuUdIK74x57m3x8b5qvf+un\n3Bsa57/9xb+97Pe98n2t/LxZlkVrayutra0YY6qj0C9fvkwURdUgNbuauRE9S0up/BlbzmKVJ9u2\neeWVV3j/+99PGIZ8/OMf5+TJk/zBH/wBAJ/85CcB+PM//3N+4Rd+gbq6uuprh4aG+NCHPgSUB6d8\n9KMf5QMf+MDK3oCSniexAlJ1EkLsVBKgnlxRFOH7fvWh1LIs7t69Szwep6urC9te/LGiEoqWe5ic\nH54qo8Lz+fyca6xkKt9SgcfzPLq7u7Ftm6effnrJ+1sqPN157cf89Sd/k9LD0fISvEIJXB8U2JkG\nwskskesRzey5ZJW88rKmxjqMF6CLLqbkgaUJggC7vJiPcCY4OShMsYSpT2LliuWLpuJYBbe84a1S\nqGwRH0MQhcTCiBCDk8uX793zAAg9D9vSGD8AW2HCELTGBCE4oD2PyAHbLVIEkrhkvYh4LCJwA+JJ\nRUOdT346QjfFyNRbFHKKZL2mPh3HUw6EkKx3SAJjVyZIH6gntGOkd9lMvt1H+pl9pA+2EIURfggF\nt0Rs335MGFIY6EOl95Fr6MQJSxy0h+mfaCLlxIny0/z7n14h8kP+4S/9wrLf+8XCulKK+vp66uvr\nOXDgAL7vMz4+PmcUemtrK77vr2nz2coG0Wt5/VoqTwAvv/wyL7/88pyPVUJTxcc+9jE+9rGPzfnY\n4cOHuXjx4spu+BE7c1S5hKfHQIKTEEKInSYMQ7yZB3CtNb7vc/v2bSzL4vTp08tWlCzLIgzDJQNW\n5dyVZXtBENDT00N9fT0vvPDCnGusJDwttgwwl8vR09PDU089xcDAwIon6VXc+/5P+ZtP/hbu8BhW\nKkGUK6IBE3ewIkM4mcXMjBvXamYpHRASYaZyWDP7NYVaocOQOJpAg04msAolmDk+MGDnilQimDMT\nnAIiHNcDpYiMIaEsIlPud/IiQ6QMccofc2YqAfO/XZXviq0VRT/C0uCFhsgo4rbCmIhMSuMGBs+L\nqEtoCpMeyQaHRMxjahScphgtLTGiyDB516Oxw6F5d4L8mI/elUZbmubDjRQfDJEPLIyTIHbiEGry\nHu54nKh5LzqVoFF5RG6OqXiGRH2aPdM5RoM6UjrAuHl+9Po1lNJ84u/+3JLfr1p7liqj0Nva2jDG\nVPdRevDgAbZt43keLS0tpFKpFfVAbVR4KhQKc6pGW4VCBkYIIYQQgFSfnjSViXqVEdfZbJZLly6x\ne/dugiCo6YFyJWHH930KhQIXL17kwIEDdHR0rOl8QRA88vGxsTGuXbvGqVOnSKfTDA4OLhueFqpi\nPfgPf8NffeI38IsuJpoZAw5EWqFcD8NM/1EygSqWe6CIxYg8r9rX5GGwbAsrKG+Sa7SCKMLPF7Ap\nD3WwLAs7jGaW8IGNwidCAfbM198zEbHKkrO4g+MH5aNjDng+UX0KKwoxWmPHyntWxRyLKAzLyzFt\n0L6PnYzheAVi1sx5lI9vbILIELehUIjQFqTimqkJDzsdp3V3giA0jA8VaW5L0hgPmbxZxNmdQO1O\n09AQMn19hLrDLSSbkySBB31FrGIJJ1OPk4Fs79sEUT2moQllDK0jg0yELg+jNHW41DekuNCTo6Ol\nxJ/9xRv4rs+vffTvLPr9Ws3AB6UUjY2NNDY2opQiHo8D0NfXVx2F3traSiaTWTYYPY59nhbiuu6K\ntgPYMLJsT9RCqk5CiCeFBKgnRyU0KaUYGhri1q1bnDp1Ct/3efDgQU3nqGUEeeW4fD7P22+/zbPP\nPktjY+Oix6225+nOnTvcv3+fc+fOVR+Oaznf/MrTw59e4Mf/zT8hmM4RhSEWCr9UQmHQEeA46GQc\nM53HFMvDLUIU1syocQBdnyIWBIQlFyj3M+lIYZf/3p4SYfn3M8HJx+DMhK54Xaq8wW7cLo8zL5SX\n8wXGYHk+KIVvIhzPB8DP5bGs8mtNqfxg70aGhFMOfC4RKUcT5X1Cq7zvk5t3ideX+6KKxElTIuko\npoMYqYRDpsnDx8YPDI6tSEWGkbt5du2tw4lbeKUIxy1/3xuaIHfzHjQ14qsku7sO4k0N4RcasFqa\nSD/VwdS1Esnh+xR3dxDsPkAjd2iammZCpykUDE93FrhxL2L/7ohXv/M2iViMf/BLC/dArcc+TfF4\nnJaWluoo9MnJScbGxrh161b1c62trQuGl43qmVrrdR4XGRghhBBCiCfazZs3mZycrE6jm56erikQ\nQXnZXi1hZ2JigtHRUd7znvcs+bfpte7fNDsUGWO4fv06ruty7ty5OZWDWseQV86Vu/uAn/79zxDm\niyjbRocRka1RQVge9KAVKmYTTufLPUkzNaNEuo4gmy8vw8Pg5AoAM9WpGFbRRc0EK5/ycjtVlyT0\nfSIFjlsOQgEGK18o90V5HiTi+FH5/g0Ge+ZhunIuKC/JAwiNqf5+tsjMDFdQCtePSMUVCVtTKEUk\n4uXlhiPZkEy9pgGX7LhLqjVGDJ/pIZfGPXXYWtEQV4xP2TQeSFJng+95TPYbMgfrqW9JkJvK4mpF\nGog1xrCDAvn+SUx9K6rjaVqiiPyNG0y07cPNF9G7dnEwP0F/KUnJN3Q2uIxMgCr4fOcv3wKj+Af/\n1X/+6PtZh8rP/KWizc3N1b2QCoVCtYK50Cj0jRoYsXXtzFHlOy8ObiKpOgkhnjTy370nQxRFdHd3\nE4YhZ8+erY7xrrWaVDl2qfAURRFXr14lm83S1ta27DKklVSeKqPVL1y4gG3bnDp16pGH0pVUnvxS\nib/8wCfwJ6chiohcD1IJdBBh2Q4RoJSGfIkIg9EKKx7HQhFm8wQz/U/OTLAxGJTShH6IQpVHRKTi\nM9UniPIFVMwhcj1MdUT5u8EowEDJe7cipTVhZCiFEZEx+CbCxGPomWwYzQqJsx9ty+GwvHGuFxoK\nfkTeiyh5BmMMtl8ipjTWzIvqHMP0dHlJZH1Sk5sKyeUDcr4hEy8xdmMCACdm0eBE5O54+J4hamhg\n16E6xt+4hglDtK1JdyTI3urHlAoorak/fpwOP4cJAiJlMVXfyoFEgXQqxv1cgqTt0toY0n9lhG9+\n56/48qs/euT7tdaKzHKVq1Qqxb59+zh9+jRnzpyhsbGRoaEhzp8/z+XLl8nlcjX/+VhILeFrrdW1\nx0nNLNur5dd2IuFJCCGEEEvSWrN//36OHTs250Gt1mpS5RyLPUj6vs+FCxeIxWIcPXp0xRWl5Y7z\nPI/z58/T0dHB0aNHF53AVmvl6Xvv+3sU7twnKpSIggC0RhVKKCAMfDQGZt6rk0mjIoNxy8M2jFVe\nsFdZtme0QqeSWMZgBQE+UTkMFcrL/AyGACBXJIYmAkJMNfR4RNXeKRTE4uU9iyylSDTWE1O6HKpi\nNhhFGCkiJ4aPhY+FsW18FIFRaG1hZkanpxybhK2pi2nqYxahVT5v3FbkwnKw1UqhgxDXCym6Ecq2\nKeR8GjPlhU2tDTbDVyZmvnZgRyVGbk6Qai5Phms5lCZ3uY8gX6IwlKe561mao37M+MPye9jdRl37\nHlqDKQCm63cR93M0JAwTbgIXQ0Od4mF/lq//Pz/mR+evzPl+beQmt5ZlsWvXLo4fP86LL77IwYMH\nCYKAvr4+3nrrLW7fvs309HRNP9srvf6WDlBa1/Rr2fMo9UdKqWGl1OVljutSSgVKqV9atzcxj4Sn\ndSJ/+yqEeFLJf/92PqXUghvfVibo1WKxoJXP5zl//jz79u3jyJEjNQeyWvZvgvLSqocPH/LMM8+w\nZ8+eRY+rZRmgUorB3/oCU1duocIIE0XouhR65j4qm9ZWqkcBBn8y+251Jx5DhREOGpNKEKnyA3JU\nKL17H7MW+ZWDk6lWoAwGKxEnjkbbNiYVL1e4ZngmBL+8rC8yhnA6/+7Nh+V7VMYQeR5WFGFFEfgB\ntjFYGKwwJJpZ+qeMoei/+/UtTHvV39teiaJrCCMIrBjFMEGy3ialXZrqLUbuv7t5cSVATU540BCj\n/WAdE2/2EwUzfVAdKbzBB4RWAwDJ3RnaWgpw9zru/fuU6hppOrCXg3a5n8vDItWcoiVRohAlyBcC\n6lOgih7/57/+NrfuPKxeeyPD02yVUeipVIqTJ09y6tQpkskkd+7c4Y033uDq1asMDw8vOMhkpddf\nSRjbcAq0pWr6VYMvAUtuNKWUsoD/Dfje2m9+cRKe1oE8OAghhHgS1Vr9WezY0dFRuru7efbZZ2lr\na1vROWs57sGDBwwMDLBr1y4ymcySx9YSxq797h+R+8nbaG0RBSE6HifKFzGUe5ZsNMqxZsaQl0OP\nBUQYVH0KXK8apKJCkdCYmbAEKEVIeYpebCYc6Uz63aoS5R4oVZoJMUFIWCjhmPL5fV1egmdmwo8/\nMxYdZh6wS++Gn0W/BkAQvfswPjsXJ21FoGy80JD3DJO58gCLlPZJBXnGht8NTA1OxOjQzL5SEdiJ\nBH4uJBYv30/LngRTFwYIvZDQD3GNxjGjlO6Vh4/YdQn2PFVHNDxQPqFl43R0cCgYJYrVUYhsTKaJ\nhliJMISpbITWJXov3OF/+t+/zNRMH9l6DIxYj54px3Fob2/n5MmTvPjii3R0dJDNZunu7ubtt99m\ncHCQfD7/SBCqZdS57/vEYrFV3+PjpJTCtnVNv5ZjjPkxML7MYb8O/DtgeB1uf1ESnv5/9t4sSLLr\nvPP7nXO3XKu6lt4LQG9YiLVXDUUPNaMZyRTxQIt8MYcTUtgchQISKDr8ogk7LFnBkS1K4RlPTDCG\nDA45UkimSUkcaSA/EKI0pkhTJNEL0GigF/SKRlf1Ul3VteRy13OOH+7NrMzKzOqsrgYIgPcXkdFd\nmeecPPdmdcf55/d9/y8nJycnZ8PkXyL9ZLLeyFNrrDGGq1evcunSJQ4fPszIyEh73P0QT8YYLl26\nxPXr13n88ceHih7cLW3v6l9+myv/4c8xdR/jWmnEJ4yxq2XscmmlV1OcgOe0o0UCAa6NyQ70kPZl\nshA4WRNcA9BR4wQQJwlmsZb2grIkEbpdIwWtdL30ZxuB0RqHNO0u0gZtUuvyxKTRK9Fxrzr1QGfk\nCkf+iZcAACAASURBVEC16qJ0mhrYjDS1UNGINaHwcC1B1ZNsKlg0/JX7VZaaemMlklJQETPTDUIB\no6MwXoKly3779fFtBZZPXmX+Rsjo7gncikPJWqBx5S0AmjcXGD/4DNuXV9wc7Yf2MGYHCK1IsGlU\ntrBza0wUG6ZvwMSkxaUT0/zW//G17Bo2ZhhxP2qmVs9vWaHv3buXw4cP8/jjj2PbNpcuXeLYsWOc\nP3+e+fl5lFIope76/r7vb6iR79vNO1XzJITYCXwc+OKGF7sLudveBskPDDk5OTk5P6ms52DaEjta\na86cOYMxhiNHjvQcDjcqnrTWvP766ziOw4EDB2g0GhsWY83rsxz9zOeI5xcRloVebqQRIwEYg26k\nokBj0qS9zBEvNXcAO1KpO17LijxL7QOwpSTSGqexkrqXCqX0vjgIjCVB0U7h09laLYwlcY0ErREI\nnGIBJ1xZL7ZttDYonfZzSoRpX6vGkOisuN+2iVTaIFeS2qULx8Yz2fUEIdqB9lnX2Git2gfgYCki\n9iS1psErSEoW0KFHyypg7nzI5CObCJox9kgJNwnRsUI6Fk7ZZcRusnTuIk13B660GNv7AN7MLd50\nxhFzN4mm9vKBW9OcX4QEiyVvkge3zvPWLRdbQrUiuHr2Ol974bv8zME9G25S+3an/Xmex44dO/pa\noSdJgjGGUqk00EDF9/13Z48n0n8ecvj7NymEON7x85eNMV9ex9v9W+BfGmP0213/lYunnJycnJz7\nQt736f3NMIYKa9Eybjh+/DibN29m165dfQ+mGxFPURTxyiuvsH37dh588MF17Xutcd/7b/8Hknpq\nC44QK386NnG9gY1MBY3rIqOYGI2klcq3Yv9tPBcrjMGsWIon2uAiskgSXTVOrTEIgZfaUGCKLsK1\nYWmlnklZEhmtRH2ioInbEVEycYwQMl1XpBVZllixLW+34lGaREOn3PCbIU4xsz1XCcuJZlMp/dkV\nmsU6jI9AhI0ouTRil7GxuD2/Nl3H3TeCZUmkFIwqw42zi4zsHaMy6gCaO0fPMfJTjyEdC9uzMc0F\nhK601yjt3MrUxStcqgUwOkKydYpHrBtcuRNTU5LQnWT3VA0VSW7fDqlWQ/74j/6Wh7Z9nH0P9TZY\nHpZ3qk9Ti9VW6K+/nnojtKzQx8fHmZiYYGRkpL2u7/uUSqV73uPbyvqa5M4ZYw5v4N0OA9/I/k+Z\nBJ4VQiTGmP+8gTX7kqftbYA86pSTk5OTkzMccRxz9epVdu/eze7duwd+o78ew4hO6vU6x44dY+/e\nvW3hBOsTY/3E0/Hf/AOWz15OzSEKHiQqCzhpiOJ2Wp60LEzUijhlfZs6RJBVLqGDEG1W9tIplFwk\nSTa3szeTKXiQRbIEoPwAsdRAYIjRRGhEspI6aVaLL7MqSmXMmoe/1ZGCzr1AdmGkhhTNWBNEmpqv\ncUgoJE3cxiK1DnOJasli8VY6KUkMtUAyKg06XBF74zuKLL10DqM0t8/PM/b4TrY+mGBuXG6PKY6N\nsnXEQ2Spn8nkdj7wQBlXJBgEN6lSGXEJIsH16zVCP+QL/+Gvh67J68c7EXlaCykl27dvZ//+/Rw4\ncICRkRFu3rzZtkI/c+YMMzMzA9P2XnzxRR599FH27dvH5z//+Z7X/+7v/o7R0VH279/P/v37+dzn\nPjf03GEQCCw53GOjGGN2G2N2GWN2Ad8Efv3tEE6Qi6ecnJycnPtI/qVSTj9mZ2e5du0a27ZtY/Pm\nzWuOXY8JRYvbt29z6tQpnnnmmR5XwGGb6fYzjLj1/RNc+sNvoupNiBUmCNsueC2jB8tx0FHcdrOD\nNOXN8rz2zwkG3QzSNDjSVLkui3HACIHjupmI0qhMHIkOowfdqo8iPZi62XyhDSoTUiEKZVaMIxK6\nBZFi7XRLG9qOewCuECTKECtDKGyiBObrikSDZ0tGPItgxSsCAURLUde9LCZNrl1cJtaG0VGBV7CQ\nt3zi5oqAmthZZPHla4x9YCq9h7ZkbHyRZPoSAFEElb0P85ioQbZ2XKvzxMOjOEKBEPh+g4d2uTQD\nwaZiyJULt/na//P9gdd6NzYqfu6n259t211W6A899BDnzp3jN3/zN/nud7/L7/7u7/LKK6+0f9eV\nUjz//PN861vf4syZM3z961/nzJkzPe/x4Q9/mJMnT3Ly5El++7d/e11zh+F+1TwJIb4O/BB4VAgx\nLYT4F0KI54QQz93TxjZALp7ukfyAkJOTk5OTszbGGC5fvszVq1d5+OGHse27VwsMa0He4q233uLK\nlSscPnyYSqXS8/qw660WWVprvvfpf4mp+2BJJLSlS0s4aQwmjtuCxgCiUkoNHDoa2lrpgkAajVJC\nYDndDmmxSSCLXDltw/LUta9Fp0lE6/3tbKyNxEPiFstZvZQE28GqlNCei64UiS2JsiWJhFhADGgB\nkYHQGGLHJrYsYtsmdlwS10O7HpFTTKMISULJltjFSle0wCYVWC3KrmDuZoDWhvmlmGagGJEak6x8\nDgVHUzs1i1EarQ0Lswlj2wQLL51eWddzmJxcYunlY6ixVHRX9u3jMbMEWlNXFo3CCI8/6KUdsIxh\nURbZstlgjM3EuMvf//05Tp27ctfPvx/3o3/SRsVTv5otIQTVapVPfOIT/P7v/z4f/ehH2bNnD1/8\n4hfbv8NHjx5l37597NmzB9d1+eQnP8kLL7ww1PtuZG73PsG25FCPu2GM+WfGmO3GGMcYM2WM+aox\n5kvGmC/1GfvfGWO+ue4ND0kunnJycnJy7iv5l0vvT9Y6BPaL7CileO211wiCgEOHDuF53lDOfMMe\nNrXWBEHA4uIihw8fHmjXPGwkq1NkJUnCt3/tf8Es1MG2Vyy/ScWPEQJk2stJIhCZkLAqpbarXmoO\nkUZiOlPflGvjGIMVxyStHLhqqW0Q0R5HmspnARRdlC1xZPdBWjl2V1KdxiD81ChCAEQJcb2BDCNk\n3cdRGhKFo8E14AK2SaNNDgIrSnCURgcxdhhhBSEyjIhrftf70myiOqJTjiVoslJ3ExlJEmqWazHj\nozalooXjSJav1bqiWmObHG6+dIPF2yGjO1LTg8ktFvVz0+0x/lydrbtALt9uP1d9+GEeN8sE1bF0\nzOhmnthmkE6RRAvUSBUV1rl+M0AFPr/77/5saFfITjYaedoow7jtBUHA2NgYn/rUp/jyl7/cHj8z\nM8MDDzzQHjc1NcXMzEzP/B/84Ac8/fTTfPSjH+X06dPrmjsM75Tb3jtJLp7ugfxgkJOTk5OTk9LP\nrjwMQ44fP86mTZvaVuH3ko43iCRJeOWVVxBC8NRTT615wFxP2p4xhiAI+OGLf0vtP/0XLMeCOEEr\nhfCcdu2QNhojZftnqSFGozvsyHVWe2RXy+3nFKZdJ9VKu4vRGD/o2ouyrbYtuUAg/ChtqKoNcZbO\npzGIuLvJapy5/XVirfp59Z3od2xd/SmtXsMSgrrfvVK01GB+WREID8soRguQdF8WIyWLpVvp74o2\nhtlbPqMVi+TOijgTQlARyzTenCVajrA3VSlOVNjsXMHUF1euw7J4wlmZF26ZYqycrh0oGzNaxXM0\n16751BeX+J3/84+Ynp7G91cJwbuwUavzjTCMeAuC4J6tyg8ePMhbb73FqVOn+I3f+A1+8Rd/8Z7W\nGYQQIOVwj/cS77Ht5uTk5OS8F8i/ZPrJYbUoWlpa4vjx4+zbt++ejBvuRrPZ5NixY+zcuRPP8+56\nuF1P2l6z2eTEiRPU/+CP0Y0m8Z1lBOCMVjEd9uNWsdBl0qCyvk0tDAZZLqapfrUmpuC265VkT9qd\nQGqDHCmDEBgBJN2iSFsSB4HMBJeLRYxJm+OiEQWvoxpqBdXhqrfW/VnN6jO/I7vT8gASBbVQs+hr\nGqHBEZI4BketKKaijli4E3bNc/0GS4vQCCUT24q4nkU1CWneWnEPtByJnrlG/dYCbjWNSBXGS2zW\n5zBRgH/5MvbUFKN7d/FAuACAFzYIH3qYh0dTcWTZHtse8gBD2XU4dW6G6dl53njjDY4dO8alS5dY\nWlrasMB5OxlGPA1y29u5cyfXrl1r/zw9Pc3OnTu7xoyMjLRTXZ999lniOGZubm6oucMhsMRwj/cS\nuXhaJ/mBICcnJycnZ4XOyNPNmzc5ffo0+/fvZ2JiYuC4e2VhYYFXXnmFxx9/nG3btg01Z1ir8nq9\nzszMDNvvBNRePYdVraQpd66NjqK25DGei4iTtlhRWc8lC4EYSaNMMQbT6IimBBExvS53slJKxZQ2\nsNzEGENoVE80KOkTUZIIHGRqGhGEqTCTFsq10SUPih6yUuoRQl5HJKzF6jGFysoYLSWJY5MUSkS2\nRyBswsTgGoE0gooj8aysZ5WRaNO9T1WP2+J1uZFQDyXNa3N47srvguNaqGvLqDh97s50HW/ExZ6/\ngeqwYC9vrTDReB3T0VR56ol9bNN17OVURMndu5mqxBA2uJ1U2LvHJgkDBIZv/u3xLue669evc/To\nUc6cOcPs7Gwa3buP3I9+Q3dbY1CT3CNHjnDhwgWuXLlCFEV84xvf4GMf+1jXmJs3b3bVSGmtmZiY\nGGruUHvn/Zm2l/d5ysnJycl5W8j7Pr2/WMtaPEkSLl68yNLSEkeOHMFxnJ5xG408Xb9+natXr3Lw\n4MGuw+LdivqHOcBeu3at/Y376U/8jwghSGr11LQhUZAd4GWlhKk3AJG61mWCqCVszHKdEN12wWsh\nR8p4yw0oeBilIE7SRrj17hQyhaGA1Y4oyawhrq261zNFF9vvjujEGFxt0r1m+w1ROAi0AVyHJIpI\nlus9duRGpAdoy3NRYYReauDaIrWdEBpiTehHVDyR1mBl8xPLw2NlH44l8EWZMvX2cwULrs/4lEdc\nRippJysci9nzS2z/wFh7XLkId165TeHh7YxsLyOkwC053P7hScb/Udr+xyhN4i9R8d+gOfJTAAjb\nZs/enbxeq6VjpMXo3h1E16aZa8JNXWVXKebC7YBKZZa/+ruX+Ng//gds3ryZzZs3Y4yhVqsxNzfH\nW2+9hWVZTExM9Lg2vlvxfZ/R0dGe523b5gtf+AIf+chHUErx6U9/mieeeIIvfSn1V3juuef45je/\nyRe/+EVs26ZYLPKNb3wDIcTAueulZRjxfiMXTzk5OTk5OTkb4ty5c1SrVQ4ePDhQrNyreDLGcPHi\nRWq1GkeOHOly7GvVM93rN/zGGM6fP4/v++zZs4dL//aP8WduIxKF5XkkQYCVbdk4NqreaAslAViu\n23bIg9QW3EG2o1EAFD10LauFyqzO41U25ZCZPbSuC4HbEmSbqqgohmbYfj3y/R6DiX60zCpa5hEu\nEoTBWXW/FDoVVFGCLbKGv6vG2D3xMEgaAVTEqucidBFiaZNID0sFlIymWOjeb0UYGgsh5bHU0r1Z\nj9H1GLVUR2xaiXxt3lng9tGzjB1+jOaNBiO7NlPVmjfPn0FNPZ7er3qdR3dt5fhsjLJsYstl+9Qk\nVy/USYxkwY8oFVyuvLXEf/7bH/LRf3gIJ/s9EkIwMjLCyMgIe/bsIQxD5ubmuHjxIo1GgwsXLjA5\nOcno6Oi6zCPeqXTAIAjYvn1739eeffZZnn322a7nnntuxdn7M5/5DJ/5zGeGnnsvvNeiSsPw/pOD\nbyN5yl5OTk7O+sj/33x/4/s+8/PzjI6O8thjj60pYtabtmeMQSnFq6++ilKKAwcO9FidbySapZTi\n5MmTCCF45plnIE64+dW/wEQhJlHEQdAWQAaDiuOu1Dm74JFEKz2YTGZnLhFYSCi4qdW4H3TlxYls\njCZNx2uhC26PMUOMxizWkc2w3RQ3RHXVTaX76y9uVq8H/Q9+q4/5UoguNz0AW/TWPXlSEMRZ+qI2\nNCJNLCxuLSqsJMGLGthGYQvDwu24ez1LUHurhko0t2YaWBaMTXjYc4tEte6o2vhIwvK5GxS2p6JK\nSMnUAxEszqKaTRKvgLN5K08Vs3laUbMLPDVlZXs3PLSzQKwEqIA//+vv9bkL2TV5Hjt37uTpp5+m\nVCoxNjbG7OxsuzHtzZs3ieN44PwWG22wOyyD0vbeFYjhUvbeawIrF085OTk5OTk562ZxcZGXX36Z\n8fHxnvqmfqxH6FiWhe/7HD9+nImJiYHCbL09oVq03AAnJyd55JFHEEJw6V99Ce0HWI6dmkKIFVtw\nTbcrXYKGIMImTbUzGGTRa4saAZggaqfedRJnvZlsRGoCsamSuuQF3YIB6IhFdTfFtRHtJroxGqql\nnvdJOhr5rqxHT8oegOzTS0j3OdBGHYJKGYOfaGqBYjlUKG3wLIEd+KB653oqIQxXxLPWGmm73Lll\nmNxSwLbTa3Ntw9IrN1auI0q4c3URa+EaKlgRLU7ZY6u8THztKjIzTKjs2csjdkBxaQ7leMTj29hT\nDfEKLnORy0ObFYEfcey1swQdwncQQggmJyd59NFH241pgyDg1KlTvPzyy1y9epVGo9E3yvRO2ZwP\nMox4NyAAS4qhHu8lcvE0JPm3pzk5OTn3Rv7/5/uDTvEyMzPD2bNnOXjwIOVyeaiI0nrEk9aal19+\nmX379nX1m9nImi3q9TonTpxg79697bXDxWVu/80PsCwLHScIx0GYXkMILQSmw7K8ZTkuR6voPvVL\nDiIVNxlGChyrO3pmFutoDAndkah4VUNcSFP7Wu9tt533JNK2EFIiih6UC+iii/FsErEi7lrz+x1T\n+31+Sim0McTGEAlBZFuIYpm4UCSxbUDgWhLP8SjZskuUFS1JPej+XGwpWLgVopTmTl1T9zVFGSPm\n7xCF3e8/MWoz/9otmksB9Tmf8QerVMY9ll461X3vooRx51bXc5MP7mCyvNLzq/LANtwwdfKLi5sg\nqHN9rs5ffvv/7XMnBtNqTLtr1y4OHTrEk08+ieu6XL58mWPHjnH+/Hnu3LnT/n00xmxIPA2b9rcR\nq/J3AinEUI/3EnnNU05OTk5OTs5QtGqEms1mu/5o2HS8YVOYbt++TaPR4ODBg4yPj685dr3iaX5+\nnnPnzvH0009TrVbbzx977ncgijGJQpaKmGZmt10qIP2wnXZnjEYo3ZW+JyxBvLSM7Ijz6A4jCRcB\nlSK64RNr1VOrZIourr8SBYkzU/O+R+dSAasZ9DytGz5oDX5aF2UBESqLVIl0PSmJdYLIoked6ysM\nShhs10VFEQLRDh5ZkK6tNVEU4Xrd+7eUIkBTcLqfj0QBWLmuIDZEkWZpOWGkatP6/t5zJHMXl9nx\nxFjXfKum0aGhunlFGExutVk69xbVxx5k8cptylvLlLZLrl+7SLRlX3ovlpd5aFuVuUWFsSy0U2D7\n1hKLIcTGolC0uBUojr52jk/81/8Eb0Bz5buJF9d12b59O9u3b0drzeLiYrtWqlgs9jVxWA/DRq7e\n1ZEnQTui+H7i/XdFbwP5t6Y5OTk5OT/pxHHMyy+/jJSS/fv3t+uP7lf/JmMMb775JleuXGFsbIxC\noXDXOet575mZGS5cuMChQ4e6hJM/O8et7/wItbgMUqAzcWIwyILbjkC199nxfgaDVqn5g5aiw768\nu58TdZ/YDBKY3aLSQeIUSzi2g3ZttGO1142azZ7ZMabtrjdoVYFAaJ32rEK2Lc5bDxuBKyQyTnCE\nxBarjdFbe8uc+1YR9CkBsoIQPzIshoJlZaeRG88iaPSOrTpQX0jTFv1mwu0bPmU7ov7a9e5rkoJS\neIelizcpjBXSiJsQTI7OI6Osv1PUoLB9Gw+r1LocY3B2PMAeN3XjK5SqbC0FRLHib//++32usjVt\neCMSKSXj4+M88sgjHDlyhD179hBFEbVajRMnTnDlyhVqtdq6TCTWI57erZEnkdc85eTk5OTk3Bv5\nl1DvfcIwZMeOHTz88MNdh8r70b9Ja82ZM2eo1WocPnwY27aHbmx7t3HGGIIg4NatWxw+fLhHlL36\nP/0bhE77KIligVZMxq5WiBdq7XEqa2grBG0xk7BiymBrg3EdGCn1pPUYDFYmVBJ0Oz0vwmD83lqn\nyG9CorCiBCtWGCDI0v/0qpjU6p/b96aP/Bl0dO/3vDC984UQxH0EReseaG2Ihc1SqGhEhoWGpmQZ\nCiZp78ZNYqK4ew1LCmrTdWavNxHaMD6eRoPGKxaLF+90jdVKEl26jFNaiRh5o0UmmqeJrl6l+EDa\nzHXz4w8zES7iLc9hCiWqDz1ISUQkzRqlkTECP+S1C5cHCpp7dXEUQlAul9m2bRsTExM8/fTTFItF\nrl69ytGjR3njjTeYm5u767+ZYcVTEATv2sgTvD/T9nLxlJOTk5OTk3NXqtVqX0vkjUaeWhGtYrHI\nk08+iZRy6DXvNk5rzWuvvQbQFS1rv64Ut793nMT3wZLQCNJcI0uiGk2kMVkSHVhZ7yqpDApDgmG1\nzYKIYuLleo+giTpqldLIj0CX3Ha/pE6STKR1YmWJgh4WMjOLiDBEA6STFv2d9txKb4NcAKfg9Tzn\nDYpmyJV7mGiDrzSRMtzxFaECkoSSbVG0JVL3EVpSsLy88pkppVkKJI60sY2F05H+J4RA3qyhk1Ro\n3L68hCVCNm9zCN683b3fChTD6ZW5UrJ3xxiVzGte2y6PbS9jF0r4xmZTyeL6nSYnT7/a9zI3avjQ\ncttzHIdt27bx5JNPcuTIEbZs2cLCwgInTpzg1KlTzMzMEIa9Avp9kbZH3iT3J5L829KcnJycnJzB\nWJZFEPTW4QxDs9nk5MmT7N27l61bt7afX494GhQ5iKKIkydPsnXrVprNZt9xZ/7gq8SLNSzXRYcR\nAoPwXJIgzASLwCoV0UnclRpnIzJB1H24TTA4yMwAIhVBxpY4vVl1JM0AG4Gslglr9XYtVNKnyS6s\npOEJBDYCGzBCoNEgJQmptbvBoEwWJUN0NfEN6w28PmvHQYCz6qCu/ADLTqNJipbxBJhEkxhwpEQY\njYPAkUC5iB13pxV6UlL3NZVi99pOGNFsWjQDjedAydFgoH4zZHSy27mxUraZO3YTNpeY2NkhEm5e\nRW3bhFVwSPyYaHGZzdtgvrGEVU7rjexSkd2bbS63rnN0nAk01xUsa4eKMPzdD3/AgSf399yTjfQP\ng1T8WKtcDKWUjI2NMTaW1nc1m03m5+c5c+YMSinGx8eZnJykWq2+L8QTgveck94w5JGnnJycnJx3\nhPzLqPcn99K/CWBhYYFXXnmFJ554oks4wfrEU79xzWaT48ePs2vXLh566KGB4y7/4Z+jag3iZhOh\n0teTjv5OAEmziYm6i3pMwcNB9rjjtQSQzASOqJaQpWJPDEhnNuICgak12+l8Iapvvybt2H2b4kZG\npTl3SmMrg4ekkEWnnKyWSWTvZxwbnUWrwlWPBENoNInnEBpNZDQKiJSBzGnQReIhcWKNB8ishqpF\nuNSnmAlQVneaZCPSNHG4fStitCS7jCYqnuT21XrX+GYAsh5RLncLkfKoy+JLr6MTRX1mnsK4h1vx\ncGeOr9yf61cYnRqlGi0DIPwmE6NVhDFoYbOtYLi9FHB79garuV+Rp7UolUo88MADHDhwgP3791Op\nVJienubo0aNcunSJKIpIkj7Ku4N3s9ueQGBbcqjHe4n31m5zcnJycnJy3lWsJ22vNXZmZoY33niD\nQ4cO9XUl24h46hRlW7ZsaY9bHXma/f9OkCzWMRhsJ62fMZguJz2TiZzOmdq2IEhd7Vb6PMFqiwWB\nIK41MGHcZVcOqcnD6rQ6B4lbqWBJC1N0iTs898K4f0+iQfVOq/dhIZBx0iWCOh9WZhhhhTGukDhC\n4gjRd3XLGJI+rhGuEH2fF0FIM9IsJxLf2DhC4MYhBSBRvZ+xqYdp7VSsuDnTwEoiqiVB82KtZ+z4\nmGD22HmqO1bSESd2V1BvnSO8cYORPZMIKdlhLwLgLc9DucIDehEbTWKXAMkPjv597z42GHlar1W5\nbdts2bKFxx9/nJ/6qZ9ifHycJEl45ZVXOHnyJNPT0/i+3zMvjmOcLKX0XYcAKYd7vJd4j233nSX/\nljQnJyfn/pL/v/reZdBBcj2RJyEEFy5cYHZ2tq95Q4thxdPqJrk3btzg3LlzHDx4sEuU9Wume+7f\n/EeEkCAkIvvmu9VHyWSpRioTTzYSU0r3qpKkLZRSYQJyrNq3xgiAMMJFEqNRmHbUaTUag6o3QGuk\nH6UW56RW5oa0zqrnPg14z0GHu/VKgQGG6cR9PhshBEGcuQ1qQyPRLIUaPzbUmoaCUVjJSgTPloJG\n1FtrVXIlszMx/nLMxJjbroepiojl6ZWoVBwqlqaX8RbnetYYL83hykZ7bnlqC+MLb1LJ0uVGd0zh\nBTWMtKjaCddu3iFJuqOL9yPydK/zhRCUSiXGxsY4cuQIjz6a/r/5xhtvcOzYMS5dusTi4mL7392g\nf5svvvgijz76KPv27ePzn/98z+tf+9rXePrpp3nqqaf40Ic+xKuvrtR/7dq1i6eeeor9+/dz+PDh\ne7sO7p9hhBDiPwohZoUQrw94/Z8LIU4JIV4TQvxACPHMPW16CHLxlJOTk5OTk3PPDCt0lFI0Gg20\n1n3NGzqxLGtdkSdjDJcvX2ZmZoYjR470pDGt3qMxhsWTZ9FJguXY6CBKo0xZA1ujTVdDWgDRDDCl\nQm9anWWhlxvt/kwtVje5dbMIj9g00vdQ3S8aJRGgNEUs7LZRhG4/VhtWQCrCbNnvFbDs/hEKy+3/\nvFup9H3e9rpFr9KGQGuixBAIh0Sl11uyJJ6UGNX/cBwu1Nufi9aGpnGpBwKx2MB1V0XyhCC6nNqP\nNxZD/PkmoxMem8Zdlk691TW2PjMLty52PbdtwkZ6mUOf6zFVzBoHu6MEzRrHjnVHn+5HzdP9El/F\nYpGpqSn279/PgQMHGBkZ4cKFCxw8eJB6vc6f/dmfsbS01DVfKcXzzz/Pt771Lc6cOcPXv/51zpw5\n0zVm9+7dfPe73+W1117jt37rt/jVX/3Vrte/853vcPLkSY4fP869IsVwjyH4I+AX1nj9CvCPmTvV\nYgAAIABJREFUjDFPAf8K+PI9b/ou5OIpJycnJycnZyj6HSaHiTwFQcCxY8coFArs2rXrrofS9aTt\nKaU4ffo0vu9z8ODBvqJMCNGVtvfm//VXhDfmkK6DiWKEEFgjlXbdkwQ0val4Jkl6UuVilSBUavLQ\niiyl6X+9GAxqcRmhNXGHZXnr1X6YjnoQG9FOtXPKJYS0UDKtrQpRROi079OAe2cG1M8kUZ9GTUBQ\n664/UsYQCQiaPo1EEQCJSONfLoKi42HFcU8kwROCMOm9voIlWVhU3FmKqdVi7KCJa2Ick1Bf7j2i\nbqrYLFxoIuKYUmXlcy5FjbYj3/zZG2zaWWJ0LCapr+zfNO9QWTzX/rlccrDCGkZIPHwuXrrQ9V4/\nzsjTWvNt22bz5s0cOXKEEydO4HkeZ8+e5SMf+QjHjh1rjzt69Cj79u1jz549uK7LJz/5SV544YWu\ntT70oQ+1zSs++MEPMj09zf3kfkaejDHfA+6s8foPjDFZcy9+BEzdl4voQy6eBpCnluTk5OS8PeT/\nv76/uJt4Wl5e5sSJEzzyyCOUy+V1iaK70WqsWy6XefzxxwceVleLsYtf+XMA4oXs23pLEi+vHLSF\n5yBXRWMSDDJKEI7TldbXGV1qmTpEfaJIsBJdElntkQ2IShF/gFEEgOjXlRYIGw2E1tjaQK1JAStz\n0ms16jXEHQYRccEhRhOgskf6fIBGoQm0JvFcfK3wtcbXCmWyiJJO65wEAluDi0VRSlxtkB2fk0gS\nlOwvXoOk+/kgMSz4mlpNU3EFRbf7swtvLnR9ZnFimL3lY24s4nrdkTXPMywev0RwO2J0e5oK6BQd\n4vOn0ve6OcfIA1XGpzzw08/ZLcC4SlP+XMei1mhw586KccR6a5ZWs1HxpJTqcetbjWVZOI7D7/zO\n7/CjH/2II0eOtF+bmZnhgQceaP88NTXFzMzMwLW++tWv8tGPfrT9sxCCn/u5n+PQoUN8+cv3HsRZ\nh3iaFEIc73j86t3WXoN/AXxrA/PXJLcqz8nJycnJybln1ooSzc7OcvHiRfbv30+5XOb69ev3TTz5\nvs9bb73F+Pg4u3fvHnqPWilqpy9iVcskWWRFlgqo5RqtqiBjSaxmmKXeydRUQkrQBhknqZAiS5Fb\n9T20ROAIQWzStLrOuqR+phLUfSw7MxYvFVBhhAhjBBChscP+UaFB9U6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VWHFCUxVIGk1S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Ntr6iwPB+O6OKqIMXRnfgliUwELBcJ6nUKfqBL0pvQVEFisp0JKSdIo1iDREfcxqejGL5d7xJsA\nxAbiMD3a4Pa46S1hMDhRYiVYH4MEB4gLQ9Kv4pUtkiMM/tQkwUKFpLJoa5kGCPREO8Vu4jpERnFN\nc5a9iDHExXHixiJOm/Cqn6/gTTjUG4rnJOklKIiHaEIcRIhbGmhVnoUx5oJvMqxevZq1a9eiqiws\nLDA3N8fx48dbkd8TJ04MFU/nzp3jne98J8ePH2fz5s18+ctfbqXFNnn22Wf5mZ/5GU6fPo2I8L73\nvY8PfMD2jv3oRz/KH/zBHzA7OwvAb/zGb3DXXXct4yoU5/KLPP0A8C5sEOZ/bXu+Anx4lAEGfiLS\nvL9PpCcodG07BXwN+BPgIb10LY53Y9XiV9Kf/y/gN1X1fNs+nxaRo8D/iC38+uQlmltOTk5OJlk3\nIrMcZ/u6SLUxoHfo0HNmMWzN2qcspEXWGmpATXl60uxz5lz+qOrQRaOI8MwzzzA2NsaOHTsG3qF3\nHIc48wOztJ8xpuXUt27dOq655hq70fNBBCkW0CjCQTCugxMb3FIB6iHESd90MidJXfBKRaTRP7JE\naJvl2lS2Pql5vt9XjLipwUQ9rViKUk89ByvcmiMYBkmCJaJ6PbOWaBQ3vlEWcSKSvV9iUifD4dGn\nKL1uF8HDQReqFHAIhvwRaK42I1UioxTM0kK2UCyBdr5PRpVGoujzFUp+52vkiVCpJ/htn7+gEVEo\nFYGEJIxQhdL08v8wXWiT3PYm0iLCqlWrWLXKGsHVajX+/M//nI9//ONUKhW2bNnCPffcw9atW3vG\neeCBB7jjjju4//77eeCBB3jggQf4rd/6rY59PM/j4x//OLfffjuVSoWdO3dy5513ctNNNwHwy7/8\ny3zoQx/qGXtULlafp4uFqj4IPCgib1fV/3slY2S9s78N/Dzw/2KV2IfS5wSbHvfT2IjPYyJyx0pO\nLiL/RkR0yKMiIs2lw9uAeeDrAKr6aJdwavIn6dftK5lXTk5OTk5OzvJojwANIo5jTp06hed53HTT\nTZkLzGaEahiO4xAEAY888ghXXXXVknACvLEi4kC8WENTpziJrShqP3ezga7T1WTVwZodmLTJbTdN\n+3IPoYDTqm8iXfiaKBo+//TYIg4+DuIIOlEiKRdSkZH9mg6Lb4wkjEbYZ1A0qJ3uGJ02hdJEGZ0o\nU5qagrbr7a73GpbCqAj1xIChpyGuNoIOM8AgMYRxmmbZ9SKoKo1YkS4rvjiBJL0zpCqYOMZkNP4d\nOE/VCxJPSZIMPH5sbIx3vOMdfPjDH+bHfuzHmJ6e5nd/93f77vvVr36Ve++9F4B7772Xr3zlKz37\nbNy4kdtvt2U+k5OTbNu2je985zsrnns7krrtjfK4VIjIT6ffbhaRD3Y/RhkjKxb5TuCzqvqethOu\nBX4VeAfwVPr1/cBfiMivqur/tsxr+Bts9OjHgH8DPJc+fw029e6LwB+pavOv59uwka5hf402pV9P\nL3M+OTk5OTk5ORkMiiw1a5kGLfqCIGDv3r1MTU2xZs2aoRGqUWueoijixIkT3HLLLUxPT3dsc0ol\n1Giaqadp3xlrKa5ti2LrZqc4Y0WodhhwYUhNEAoeSWJw2xfTxQIES2HYZkTJJEkrmpR5jf3EglFk\nsYHLksFFnNqXi+uiSZIKtjR98CJElUZBhgxkUqe9OLWSkFRUemmqItgIW9Z8XSBWxWn7bKhAYAwC\n+K6tX+qHI0JiDDjgTq5C5heWmupq2znFoR5F+OIQG21F9oPYoG1vbZQoBUcoTkxmX3i/1+IiRJ5G\n6fM0MzPDu9/97oH7nD59mo0bNwKwYcMGTp/OXhYfP36cvXv38trXvrb13O/8zu/w+c9/nl27dvHx\nj3+8J+0vG8WR4TcQLjHj6deJzL0yyBJPZazrRF9U9Tjwv4jIJ4DfAH5bRB5T1b8a9eSq+o8ich/2\nN+ETTctAEfnJdJcvqupD6XPbgFcB/zZrzDRK9RGsZ/v/kbHf+4D3Acy8/HwzcnJycnJyLiuakaJ+\nFsuLi4vs37+fG2+8kXq9vqx0vCzm5+c5ceIEV1xxRY9wAihvWIs005+KBYjsIt5FWtGhJuJ7UG10\nOL5BW+pcGONgI0tNkeQUC5igN4fVwQqupkmEYakX1NK4iisOPWGRLiQVSh6S+nDbRXXTcS/GkKTj\nFicnCCqLuI5twStGcQo+JsxewPpjZUytMXC7CuAIkYDRpihcEqO2ua/gIIPd9iDthZV9rbYOTAjV\ngOfixKaVlqhJQiLaUbvUTpAonhHc+YUOidZ8pw0QhDF+GrXS1J0vShTEQVL1ZFzfpgC6nq0pWyaX\nQjw13fbe/OY3c+pUrxXBxz72sY6fpc0EpB+Li4u8/e1v5xOf+ARTU1MAvP/97+cjH/kIIsJHPvIR\nfuVXfoXPfvazy7oW0csube/306//bqVjZKmGR7HmC384ZBIR8Ksich22zmhk8ZRyK/DtLq/1HenX\n/W3P/QjQAP7bkPE+AXwP8GFVPZIx788AnwHYIqVLVbOVk5OTk5PzimSQwcMLL7zAoUOHuOWWW5ic\nnOTkyZOEWUVzKcPE05kzZ3jiiSe45pprBi4KJ7duhjT1TZIEGS+j1TrqOlCtk7hOK5Jkrcxtn6V2\ntz03PaZJ020vxOBmiED1XSRaapCrKKbo4xR8qDUwSYJcQMm4pAYQpXYbiErNuvuZprzR1mutKI7n\nk8RRKxrVjMZFtSp+uUxcb6RjN6NaVqqJCiaK8BX6Vnxox5eBuKk4GhR9Ut+jODZOY2HRuhvGnf6I\n7eKqnVCNTcsUcL3esV0EIw5hGOO1fVbEcUmMIY4VxwHXc1E1NGoBru8TBhHlVVNDrqqXi1nzNIh6\nvc7U1BQPP/zwwH3Wr1/PyZMn2bhxIydPnmTdunV994uiiLe//e381E/9FD/6oz/acXyT9773vbz1\nrW9d5pUAl5l4aiIis8B7gc206SFVHRzKS8l6Zx8AflJEfnnEeTwE7BxxXwBEpABso1MkgfVYn1fV\nZ9qeexvwsKouZoz374FfBD6jqr+5nLnk5OTk5OTkrJx2C/Imp06d4vDhw+zcuZPJSZv+dDGa3z73\n3HMcO3aMXbt2USqVBu43ef3VqDGI75HUQzQIUZFWyp6bmFYLzyReis74OBjHQV2HqNrb9UTSCIsm\nCZHTW+sDYLoEnSA4QQSVGpoYAhICDHGG5Bhu/Z1NUwB56XzdOGnVGxVxKOFSxMXHwamHFHAopLVX\nzUhZcw5JH+OLbvzi8B6j7aMYFB0r0sAQoRDF1M8v4GWosHa9GaohRPFU8GWwVYUzMWb7O3W9J6WJ\nCYJ4KZIlqgSxFWeiSmJgbPXqodfUzYWKp6z01yb1ep2xsWxn7bvvvpsHH3wQgAcffJB77rmnZx9V\n5ed+7ufYtm0bH/xgZ8nPyZMnW9//6Z/+Kdu3L9dKQK14GuVx6fkq1kn8YeDP2x5DGRh5UtW/EJFf\nxabj/QTwvwN/nzHWvwSW24b5JmzLs27xtKP9ORHZBOzCKsS+iMhHsSl9nwPuW+Y8cnJycnJyckZg\nUJSnW+wcP36cubk5du/e3WFFvhwjiG5RpKo89dRTLCwssGvXLlzXxXGcgUYVbrGIiINXLmGiRTRO\ncCbKxIu1lijwoK+AcY1ihtUtBSF+mooWpG57zSW8SZKBd6gFcB0XP728JK0XsvNZSu/zPS/TvlIv\nkpPeKIySfhUHQWbanqa1W9aCPU1FrAWtXlgwXDACJCJESWKt39su0Pd90KXXK1ElNAZ/oYa3aowk\nWop4qipG6RBU4jhpaqQ2W2AhpSJJkgyNBLVzqdL2SqXsBr73338/P/7jP84f/uEfcs011/DlL38Z\nsP3V3vOe9/DQQw/xD//wD3zhC1/g1a9+NbfddhuwZEn+a7/2a+zbtw8RYfPmzfz+7//+8i5EGZqW\n+hIypqr/eiUHZhb7qOrHRWQ/8B+Bz2PriBT4VyKyG+uJPoX1TH9Dut9yuDX9uq/5hIhcC6yhN2VP\nse5+PaTC6deBB4H3rMQ6PeszegGN1HNycr7LWKkdeSnjhu2Q/x8pFgcvNrLOmcWwkpQgGPxntrbc\n22itk67wuJzLgmbkSVU5fPgwURSxc+fOnkXgqP2b+jW/PXToEAC33XZbS8QNi2QpSrJQba2xk8Va\nj6W2S1NAddmVp6lxMQavy3Y8aRMuDkIxNZ0IUbuIHyIQvXKpZU7h0lkPpQWPRhhiYivA3DZR1k7C\nCA07LxIam6Gypn2OViiBlIuE9XpqcuFQnpggWRz8R2Lgn1AREt/FhDFeYqxw6iaKIU3bC4xBDK36\npnqlSiHVP0aVMAF3odr6m62qqOPbxX6SIIUiRAn+qkn27NlDuVxmdnaWtWvX9q3ra+dC+zyNahgx\nLPK0du1avva1r/U8f8UVV/DQQw8B8PrXv37gzYcvfOELI854EArJZfuH/f8Rkbua3grLYejvnKo+\nLCLbgbdgHfi+D/jR9NGkBvwOsFwF1xRP7UJpe5/n3gb8varOdQ8gIv8TVjh9AXi36mWaXJmTk5OT\nk/MKxnEcoihi3759TExMcOONN/ZdQK4kbS9JEg4cOMDU1BRbtmzpGFdEMsfzpyZI5iuknXFTwaMd\nUknSKp/EEdw2v2uT1gR5OJAYYldwE5PW3miP1bYgFLDNeBMM3sQE2hbl6r6+QbcgJIzTWqml42LU\nzsf3SaIIt+cqBozlyND8vkJbvdNg+p9LUdRzieKYBENE0+QiFYT1sKMuq7a4ONRUov11iTD2tVbB\nDQ3lUpkk6N93y0FspGl8HHex1jFdY8NM4PtEtRBPBBMnrU6mQaK49Qbq2pIxrdXxyiVeteM2btu9\nm1qtxtzcHPv378d1XWZnZ5mdnaXYJ1XxQq3KYXCEt8ko4umy4PJdln8A+LCIBJB+bEFVdWiR20g3\nLNJIzn9NH03L8i1Ym78F4JCq1gePMJBbgTlVPdn23Ib064SIjGF7Sr0B+LXug0XkF4B/BzyDzVn8\nya4P2+nluP/l5OTk5OTkrJyjR4+yefNmNm3aNHCffrVR/WiKpzAM2bdvH1dccUXfcYeJseKGGYIT\nZ2w41XeXoke+i0ZxS9gI4Bhrte05bst0oSV8jKYpftBK6xqApFEWFuso1qGvaUbRHE+HvAbdjXu9\nppiKkpb4iEgwYp0Cxfds6NtxSIIQE8donBCbhGZMSBynlU7TLuiien1pXmhqNt602gDxPHBcjO/h\nOKlsi2I0jMCApI54S69k1muTjXU0VNzxMmG12qq/amIaQd9BjCru1ATRwgLSJ7IlQGQUrUetVD0B\n1CiJ6y058iUGb3yMYLFOoVBg3XXWkGR8fJzx8XE2b95Mo9Fgbm6OQ4cOYYxh7dq1zM7OMj5uXbAv\nNG1vFJpue5c1qhdNPInIW7AZbi7wn1T1ga7tq4A/Aq7G6pvfVtXPDZ6aLt+DPmVF0V5VfR54fqUn\nbeNWYG/Xc/8IfAf4LWxEuoKd55/2OX53+vVqbMpeN3/D8t3/cnJycnIyyErZy3nl0++OeK1W48SJ\nE2zcuDFTOMHokSfXdYmiiD179nDdddcNdAobNt7ktVdxfu/jbREbB3FciGIb0XCsO53jupAYXBwo\n+CSNAAN0V7p4aXqejYi4PduBNC0wnV+a0mcPdgmNQUyC1hrZTWGdJde8QYjj4hiFMLaPFLc1byFu\nT/kzS9EjkwojJU3/c8Saa6SpiukZ7JfYRn9M2Fkd1j173/OJhuT8DqppStKGuoVSCdckaLXeN0Ll\nIERqWr2gmn2gHARdqA4c3yg4CbS7nIvYSJUkcetzbYCoWgeUoFpn3ZbNPWOVSiWuuuoqrrrqKqIo\n4uzZszz55JMEQcD09DRBEFxQ2t4o1Ov1y188wUURT2kbok8Bd2J7wj4iIn+mqofadvsFbDDnh1Mn\nvSMi8seq2tfaU0Ru7/P0eeBpVc38EL+kDY5UdabPcwdZanKLiPwpsD/tK9W977uAd714M8zJycm5\nvMmqd8rJuRScP3+exx57jI0bNzIxMbzv5KjiqVarsbCwwGte8xpWZzieDRtv1ZpaOiIAACAASURB\nVPatPPMnf44zOY5GsRUK42VMpWqts5tNWdua32ojBAR/9SRmvtIzpiD4xRIEEREGx/U6muc2EwR7\niBMKgEGIUOJygaRuRVRPCmDBh0a2pbtJo0orob29boLa5rwZYm6UvzQax0NNLJqzVUh7YGl6/Y4V\nmY0QStk1RQmKKAQojnb2lupJZfRcEhHcIEK6XqpIFaOC5zSjbjYw5zr2e9dzhzoI+r7Pxo0b2bhx\nI0mScO7cOU6ePMn+/ftZs2YNs7OzrF69+qJHour1eivSdVlzcYwDXgM8oapPAYjIl4B7gHbxpMCk\nWNU6AZwju5L2d7Hu3t9Kf3418BiwSkTer6p/OejAFzemeHH4J+DDL/UkcnJycnJycjo5c+YMBw8e\nZMeOHUxMTIyUjjdK2t65c+d47LHHKJfLmcIJhounNbu2dyzmBaW9PNpRRceLPYl4DhDMn28t8LtJ\nwqhVD+UkBlMqEKbFRckQjzsb0RLc1B7cTcVUIKDjJdRzcQvZAmJULprb3kj7yMDzqQiUizilIgEG\nHCt6irg2xbENxxvsbGew9V8R1lK+O3rX/l6HajCJImHc01g31F6R57WJEXVcpjasZzk0a6HGxsa4\n/fbbmZ2dZW5ujkceeYRDhw4xNzc30u/IKLwsIk+qYJLRHtlcCTzb9vNz6XPtfBLb/ugEVhB9YIgP\nwglgh6ruVNWdwG3AU9jo1n/ImsxLGnkaBVXNvICLgUi2I1VWBDp34svJ+e5ipW56AFlroXJ58NJk\nKqN8dXIq+x6YWxzdXreduDb4D99ib9ubDjKzVaoZS7lh9eo5lxXPPPMMp06dYvfu3fi+z/z8PFEU\nDT1umNg5deoUx44dY+fOnXzzm9+84PFmXncr6ggqzeav4HgecVuERMKYGHC6XPjAiiOTpul5bVtt\ng9s2UdYI8XGIHcGbWoWZXxgYgekXnfFIbbdTBz6TJISpbBOajnyjWXkvF9fz0AxLdGgKo8ENbpso\nNiUwRilMTlCvLOICngrUAxzURooyUhKjRtBzd994Lv7EGMn8QuqC2H8ehVKRJAiIVK3TXrPGS63w\nEgFKRaTaAEmFmhoioySVKuI4JKq4BY+JmbWZ1zqIZpPb6elppqenUVUqlQpzc3McP36cYrHI7Ows\nMzMzPc59oxpGNxqNV5phxIyIPNr282dU9TPLONMPYN273wRcB/yViPydqi4M2P+GNNvNTlP1kIjc\nqKpPDUu5vOzFU05OTk7Oy4eFQf9N5byiOHLkCPV6nV27drXSkZZrBNGPp59+mjNnzvT0hlrpeABn\nzp1DJsfRRtiyKI8Xax31TCaM8BAMak0RInvzQDwP0qapDgJFH9U0kjHgfK5RGvPnbUpgyyiic+9+\ntVTdRLUGha7jmrVWUigQh2FL1DXn12/J55VKQ9P/kjjua4XejbTVYRmwjoLjYzTaGgnHaKvRrlZq\nlLquYRQR1pzPUk8owYsT4vmK/b5QhLBXqCtKGIS4rouf9H4mxHUwroupLdUkecUioEi1DgJ+0adR\nCygUCkytUDx1u+2JCFNTU0xNTXHddddRrVaZm5vjwIEDOI7DzMwMs7OzlEol+/kaoV7qZWEY0RXl\nHcJZVd01YNt3gKvaft6UPtfOzwIPpCZ3T4jIMeBG4BsDxjwoIr8HfCn9+Z3AIREpYt33BpKLpwuk\nzbgmJycn57JipVGnnJwskiShWCxyww03dCzyltP8tvvuuqpy9OhR6vV6395Qyx2vybFjxzh37hzl\ntWuoHnsWcV00MZg4xkWQiTHMYrVVo+QgaBQTpzbkfrmEqbQ5twURihK7DiSDU9kUlgQXYBwhMgkO\ngo/glktQ72+3vTSIobu6QtLjCWM8HOKxMtQa6TltXyU8lziOUpN1JW4sOQr6Y2WiWr1rTJtm6IyV\nCWq1VtrdUu2Qto6LjLZ6UjX7NlFtdFiR10mGRqcc37c9mfpudFATE6D4SI+ABFKXxE7CVJA5Skf9\nWusYVRpRghd3bgvrDRxZMkLxSmWcuq152/Cq6zOvYxDDBFC7c18QBMzNzfH444+TJEkrUjVsjDAM\nh/abeslpFpFdOI8AW9NesN8B/nvgJ7v2eQa4A/g7EVkPvAqbhjeIdwH/Cvil9Od/AD6EFU5vzJpM\nLp5ycnJyci4J1ayUvZyXDZ7nce211/YIllGb33ZjjOGxxx6jUChwyy23LNulrF+fJ1Xl29/+NkEQ\nsGPHDl5Yv5bFp55Bks76JV2sdTS7BdI6JiHG4AS9ERtBrGBL0+oKhUKH011zjI6fjbZEQIQS1Gst\nk4hBQmOU9LyoVmtFtVouebHp8ACsklBsCpBasPR9GyEG7RPpalEL0zFNtkMg1gFwmEug43uYNvEU\nY9I0SvCNUi6PZfedUkPrVS4XieqN1uvQdBFsJ9Iu2/kUo4o/Pk6c5iIbVRqpzbkxys13/MvM6xjE\ncj7DxWKRTZs2sWnTJqIo4tSpUwRBwCOPPML09DSzs7NMTU31jCkiL7od+oVzcazKVTUWkV8E/gIb\ntP2sqh4UkfvS7Z8G/j3wn0XkW9gPx79W1bMZY9aBj6ePbhaz5pOLpxHwvOy6p5ycnJxhlLINm3Jy\nXvaMmrbXThzH7Nu3j7Vr13Lttdeu6LzdaXvGGA4ePIjv+7z61a9GRBjbvAn+aR9gV1VLlUS2pqmZ\n+taOh0OsilMq9KS9aWyjKwUEDSOiZmrZCILHQ4iwZgnNNDx1XSRJOsSUVyj0TU3r5NK6bY7SlNeY\nxNq9Z+5jCDuc9jprmKJ6I/MsgnXqA8GrBx2vu2BFkIigqriTEziVRSsu03oosPbsCq0UTQWcYpE4\nCGx6p++x9V8MyiJ7cfB9n5mZGebn57nppps4d+4cJ06c4PDhw6xevZqZmRnWrFnTurZhnDt3jne+\n850cP36czZs38+Uvf5k1a9b07Ld582YmJydxXRfP83j00UeXdXwmI9ZwDR9GHwIe6nru023fnwC+\nf9TxRGQr8JvATdiess1xtgw79nKXrDk5OTk53wW8deHISz2FnAtkVAvyJkEQ8Oijj3LFFVesWDh1\nnzdJEvbt28fExAQ33nhj6279hju+BxGQUiEVJ2Ld31JcxyOxuVudYyNoI+x13PPa6lnS1DKXdEE/\nVhrZ1EFSEVVIrImCOA6x79LAEIbBUKe8iyWdXkwJ1hSIDQyBGCgVcDwXH6HY1QC3yaDFaYLSwGCw\n4rbfsc33N8b6VMeVtt5P6cBxWpPkIIRphKswMY7GsTWR8AuMrV3zovdq6kezwW7TuW/btm3s3r2b\ndevW8fzzz/PXf/3XvOMd78B1XarVbPeeBx54gDvuuIOjR49yxx138MADDwzc9+tf/zr79u1rCafl\nHt8fBROP9rj0fA74PezH5I3A57FNdoeSi6ecnJycnJycC2Y5kSdjDHv27GHr1q1cccUVmfsOu8Pe\nXOA2G+quW7euR4xtuucO3InxlmDySkWMmpZ9plMu4BglEWiXfyaKOgwfonSr6XOdTSFErYE7ViLE\nDLQsH7gkN4oXJRSatU0oxnMISGiQEGBspArNHqeN4gi9t0bFG9LzyKAYlABD6EBAgknrx4oIBRW0\nEdBYzMyKwoHWNSqKM14m8py04XB/0dQ+BxkvI6o9KYZhrUGkaTVYW11UrEpQqaIKiSomTlh7zVWs\nlFEd8/rRFE/tOI7DmjVruOGGG3jTm97EBz/4Qebn53nTm97EW9/6Vr7znW7vBMtXv/pV7r33XgDu\nvfdevvKVryxrLhd6fKvmaZTHpaesql8DRFWfVtWPAj80yoF52h6w5vbtFA73NsFrJ+t9zQ0jcnK+\ne8hKMc+yIh8fH/yf/fSQLIip9YMXLOOzg61qC1ODj9Msm+DFbGcu/9Tgu52OM/jYi5S9kXMZ0C9t\naNTI0/nz56nVarzuda9jKsuHnyUziGERAGMMjz76KNdddx3r1q3r2V6YHMdbM0l4+nmkXEIcG1VK\njMEViKsNHMAxinoO4vloo9PQoWkAEUtqRZ1x/1kaoU3pQ9PeTzY1rZka6KYufoNob7IrsaHY5c2n\nKFrwcIseiGDihDgM0TjBAXzPR2NrFBEsLvatc1ou1smugXXLE5yCjz9WRuMYE8VoELVeIw9J655W\n3sA3RjHNdMpqvWPB6qQ1ae0RPvtaKwXHJQnCvtE/FcHp6u9k0ka7dsoGo+D5Lptu2baiuV8oTZvz\nQTiOw2tf+1qmpqb4xje+wRNPPMHMzEzffU+fPs3GjRsB2LBhA6dPn+67n4jw5je/Gdd1+fmf/3ne\n9773Lev4wVycmqcXiUBEHOBoWk/1HWxz3aHk4iknJycnZ2QWM4RTznc3o0Sezp49y7e//W3Gx8eZ\nGCEi0nTwyyqMr1ar1Go1du3axfT09OD5TU2ip5/H1Os4aRGiAziTE7BQgTaxksSNHiOJJp7aepkQ\nQ6FYgi5TCYO2DBOadVGQCp6xkhU71SpOhrAYnq5nHfdM2qjXRseaV2RrshRSAUJbvyhJk96gPW6V\noPgTYwSLVUivu7nVcz00SZqvzlJD2zDGhJXWSM39SxMTLQOGwfPvj/Ec3HKZoLKIwGADC8BJnROb\noslN0ycxiuO5GJY+iwYwDvjFEkmbEYUREHVa2ZpuqURSqyOey2t/4kczr2EQo1qND2LY5x06bcrv\nu+8+Tp061bPPxz72sY6fRWTgvP7+7/+eK6+8kjNnznDnnXdy44038oY3vGHk4zO5fMXTB4Ax4H/A\nmk28EfiZUQ7MxVNOTk7OZUxW1Oly4/xcdsQq55XNMPF04sQJnn32WXbt2sXevXv7pid1Myyadf78\neR577DHK5XKmcAJYvetm6sefgyCybm+pCUSysJjGhtqa5qbRkzAVGv16IPk4mCDAGR/DNAKcNA1s\nkPARpGUrTjp2MzbT7brXr4luN0nqTjcIew12/M4+U71RjQgDi/X+EapkeGPcdhqLi0ONM5rjNZvp\nIg6ughsbtFKlgBCXCmhWfyrXxR0vEyws9oisMAxaIi/C4DsuYgxBvb6Uyud7EIV4vo+JY1tH5Tg4\nnkd5zWqmZlfe4+lCxNMovxf1ep1SyXocPPzwwwP3W79+PSdPnmTjxo2cPHmyb1QW4MorrwRg3bp1\nvO1tb+Mb3/gGb3jDG0Y+PpPLN+VAgS8A19C89wB/ANwy7MC85ukiMGIfv5ycnJyLSlbKXk7OpWaQ\nA5iq8tRTT3Hy5El27txJoVAYOcUva7/nn3+egwcPsmPHjsw0pyZXv+tHwHFtRKZSo13m+QXfuq/1\nGEYACInn9BVFgqDVOpJY97iI0e6yN+uoCjh4ODY6JBAVXLToIyP077lcl6SZssFzMUWfBJP2ZbLR\npYL2Srqo0d+qPEGJPZcwjIgXqn2t05uOiu5EGQ9BW58h+6o55SImsql9Jo4R30PVYFTBc1h343Ur\ntgEfRfxc6PH1en2kBrl33303Dz74IAAPPvgg99xzT88+1WqVSqXS+v4v//Iv2b59+8jHZ6IKSTza\n49Lzx1jTiLcDb00fPzzKgbl4GpHcZjgnJydn5bzwwuW61MtZCf3urPd7TlU5fPgw1WqVHTt24KV3\nG0c1lxgknk6dOsXRo0fZuXMnY2Oj3USY3LoZZ6KMFG0inVMs4EyN23lGtmmuuk6nq15a4ePECQnW\nKa75fDd+KoTilv14/yWW6RNVchB8BS9MIIiIopAA03pQKvR0Lxr1N6owPj50H8cZraG2O4Ko81NT\nCZPWezXSR4Rai/cgolQoUcBZVkQrEghSweXGCZIhVBObJEm8WOt4XrA9pZJ6s3ZL04a0aTRMIG4E\nrN95C8eOHWNubm7Z9vuXQjy1p+1lcf/99/NXf/VXbN26lYcffpj7778fsFHgu+66C7B1Ta9//eu5\n9dZbec1rXsMP/dAP8Za3vCXz+GWhZrTHpWdOVf9MVY+lhhFPq+rToxyYx0xycnJyRuTlFGXOMou4\n3HjTqdym/JWIMYYDBw4wPj7eYRsOo5tL9NvvmWee4fTp0+zataslxkbBcRxK122idnaeBMV1HeKF\nKoriqrUul7ZaIQ/BLfho2mvJRTCNgBjFHR+Dar3/edIUPE0SZHyMsFrFb0vLG94pydKeiqaNMJ3X\nUiWPAm7BRxKFjAV+WK1m1g6B7c00yqySKOqo1VLHCs44STDGvnal8jiNIMCjO11wiTgM+6ZCtiOO\nS2LUNitG8FQYds/feA5JHNlatq7xFSVBl2q2sK+hN1Ymqtn30nVdHM/j9ru/n9l161hYWODYsWOU\ny2VmZ2dZu3Yt/hABeSnEU61WG0k8rV27lq997Ws9z19xxRU89JBtmbRlyxb279+/rONHRvVydlX7\ndRH5T8DXgJY7jKr+l2EHvoyWAi8udy8e4c8mXvVSTyMnJ+dlysspOp3ltJeTczGIooh9+/axfv16\nrr766p7tKxFPqsoTTzxBtVpl586dPQvMYbUmIsLk9+6gvudxCMG0NaBN0qaoGlqHOgeF8TIadtbc\n2HQ7oVGtIvTWKgGI50LaRFerdVsbRVME0LP/qDTrsJoLtwhFwmaDVyWB1MTcVkx5pSJxIyBpOf7Z\n+bvFZqPYpZkogOeQxDGa/tx8eKViK4XOGlBY8wgvrSMSYzrMKkwQpTbrWdcymAQlQilOTRLOVwYK\nv/a/YhEGv1hEghAPh4ROMekUfcKgV7DFKCYVTgkQn69w1e3bcVyXyclJNmzYwJYtW6jVapw5c4b9\n+/fjeR6zs7PMzs5SKBTo5kLFU5IkQ28KjBp5uiy4fMXTzwI3Yuud2vM6c/G0HPr8DnQQZ0Rucyvz\nnJxXBln/52X9f1YqDd4GkOXIvHrj4IPXXD/Yx7xw9eBB3ZmM/1gzxFMyVyPrv2R/YvAfSnHnB26L\n42DgtpxXFo1Gg71797JlyxbWr1/fd5/lpu2pKo8//jiqyq233tojkpr7DbN4XnP393H6U1+yssF1\nlkQOEIdRq36mKXwYL2GiqGfRLeLg6VJfI5elSEcSxz11OE6b617sCKFJKE6MkyzW+tbsjHJ7o91U\nQlqiqm2sRpTWU2lnBCiIOqIvzbE0TvrOhUbYsmU3JEtjDfg7kjSG/663n0UhbUJso3vNnlDhYi1T\naIq4xJq0rk87XA+d1tgxBjcIbVqmYy3UFcUfH0eShKjRwC0VcV0HY5RX3/nGDgEkIoyPj3Pttddy\n7bXXUq/XmZub41vf+hYi0hJSTQMHY8wlMYx4eYinyzrytFtVVxQ1yWueLhJZwusCbkDk5OS8Ali7\n9tJ3qX8xqB9fGLht/thg4ZTzymPQ4jBJEvbs2cONN944UDjB6JEn13WJ45j9+/fj+z433XRT33OP\nMp6IIJ7L1I1bkFIRNZ2m3Yoi5c4QclytISK2XqfteW/cLlxbPY1EiATMKItmY2wPqMUaDlY4BCSE\nmFa9VWFyuI37ZRs/HqF+RUnrlybKLfHT3fzWHyAOmr2z3FIBF+mbGlgolcD30vTLttoqYwVvAkTV\nGo7n2qhdHIMqru/xfe/9aVR1oIApl8tcffXV7Ny5k5tvvhkR4fHHH+fRRx/l+PHj1Ov1S5K2N2qt\n30uKYiMPozwuPf8oIjet5MB8Wb8Mxl4OIj8nJ+dlxcymISGrVwBnn8ujTt8NvPDCCzQaDbZv386a\nNdmdn5v9m0bh29/+NtPT02zdunWgaGs20x12TmMMa37kTbbGJzaAwZ1YWoSaegNTLnQKE7Xpeeq5\n1lYbSGqd9U6itv+TqK2riTOkTfcWL+1P5KdL/EggTqyYitMkvAuhMD7CIltGWw467vITlgwKY0Ua\nqUhUV/BcjwIOZrE+sPapkTrAtcYR60gYY2up4nr/mjNFiaIQjeNOy3QRa1EPrQhbnFqUa5zQqNUo\nT02yat3MyNGjYrHIpk2b2LFjB7feeivFYpFnnnmGs2fP8tRTT1GpVIZ+LrsZ1TDi5SGe0sjTKI9L\nz+uAfSJyREQOiMi3ROTAKAfmaXs5OTk5lykrTdl7ObH76OGXego5F4EzZ87w5JNPMjk5OdKiznXd\noZGiIAg4efLkwLqpdkaNPFUqFcbfuBP/t8ugEM6fJ1qsIp6XiimQetAyjOg4Pk5akSIbXOm/wPX9\nIkQRxhHrkldr9E+HG4CnivHclqjQVIwZoDg5QVAZ3kepnbBaG2jc0GLEBb5J4lYKX882FDyPOE5I\nUsHXTMOjFlBqHpeodS4cAUWJRSiOl9HFelpbtWS80bNv+r3repikq16tYPs5tb8Xru/hNGzkEHXY\n9sbvtWOtoFeT7/ts3LiRUqnEmTNnGB8f5+mnn6ZWqzE9Pc3s7CxTU1NDx11un6fLnss3be8tKz0w\nF09tvOXcEf7bdG4akZOT8/Ims94pJ+ci8+yzz3Ly5El27drFgQMHSJJkqCPZMLFTq9XYt28fMzMz\nrFq1augcRCRzvGavqSRJ2LFjB8/v2Mbc17+BItbEoSvVzENSu+uu86RiIMBgxotIPUS6an8c18FE\n2OdrAYJYQ4OpSZKFxZEa4IaLtdYCbameiVYDWQDH94iiCINSmJggWFxs7S+Ai0P/7lTLQ1Phpiyl\nzHljZcJaHYG2cwnECQXXxwyJKmZdfberoKeQLPZGmTrqpgoeSRTjpZcbhkGH+PQnJ6hXFjuOjzGY\ntGmxP1ZGkoQ7f+l9wIWZPhhj8DyP9evXs379epIk4YUXXuDEiRMcPnyY1atXMzs7y+rVq/ueI0mS\noX3L6vX6yyPyBJeteBrVlrwfuXjKycnJ+W5iiFlETs4oNBviPvHEEywuLrJz505r8zxiOl7WfpVK\nhQMHDrB9+3bm5+cvuJmuMYaDBw/iui5jY2OICDd/6D38zd/twS8VSCo1NDHpGNqKq7iIjZCMj6HV\nTvMCt1REqgEIVkwgrcV6v8iCh4MuVBEE4wjueJm40r/BK4CahGGVFXEUpREogcUaxZ79rfhrOv3Z\nZ8ArFomCRoesSlBUnFa9kqSi0knHb45shZwDtaDP+dKzjvD+S1pl1sSgqO9TGC8TzC/g4RAxwMAi\nxU2jXIrihXFHk93mUQmKWygQVapLolXE9vhqNDBJQmFiHEWZ3XI1V2y9zl7DCiJPrWvpEl6u6zIz\nM8PMjE0HnJ+fZ25ujqNHjzI5Ocm6detYs2ZNSzCNGnka5abCS87lbVW+YnLx1MX4ePYvy/g4nD/f\nf/FR8KHWPwUXx4H4JWmgnJOTMyrDHDcLGTfTs/52rJoe/Kd21bWrB24r37Zu4Db3VRsHbpO10wO3\nZf1H5j5/buC2+NAJxm+b7butum+O1RnXEdfODp5PzsuSpiBxHIfbbruttdAcJR0va78XXniBQ4cO\ncdtttzE+Ps7CwsIFiackSdi/fz+rV6/m6quvZs+ePQBc8abvobhxHfXnTuGUiphGAwyIa0Vdc9Fe\nKJcx1Tq2C5K2njdhZBfrautvmhGZQqFIVB9cxyOAq2AqNRwkTcdT3GIRUke49IqGXvMoLEWG2uYT\nhD1pfDGaZu5ln/dimVSICLEaErRl+e5EMfF8ZWiKowIUfBzfxY1rdMexmvHCCGMd9lJLek3/9cfK\nxNW6rX0qFggWFymtXs0N3/vapTEuUDxl1eZNT08zPT2NqrKwsMDc3BxPPfUUY2NjzM7OEsfxRWuS\n+5LTNIx4hZEbRuTk5OSMQFYfpzVrXhluei8GZw8OFk5b/7+Dl3AmOReT+fl5xsbG2LZtW8dCcbkW\n5O2cOXOGw4cPs3PnTsbHxwfuN+p4cRzzzW9+k9nZWbZs2dJjKnHFm/8FOAJim7wI4JSKCKmYgFYt\nkJvGSpKib5vpdp1LUtc3E4ZDDSNof73S45zA2qHHAkyNIb7bN21wJRQu4iLbL66soZ3tNaUwUYbx\nEpFaIWqNMtrc8NooToz3jBGQ2GhgGBIHjb7ncopFEuh02SMVTyLEaXNjRVs97+Ik4q5f/YWOcS5W\n5GkQIsKqVau4/vrr2b17N9dccw3VapX5+XmOHDnCyZMniaKo77EvG/HUtCq/CIYRIvKW1NzhCRG5\nf8A+3yci+0TkoIj8zUW/nJRcPHXx3z2bFy/n5ORcPNZfMTjqNHPzzCWcSU7OxWN6epotW7YM7Lc0\njG6R9dxzz3Hs2DF27drVUQi/UvEUhiGPPvoomzZt4qqrrgJ666K2f/g++7xrzRkSFMezbW/d1F1P\no6WUEUFwggg8l0Hy0B7rpCl/EPsuxu+sX3EzQtiugi7UlnpLiRBiCNJHlEaqlkM4wJWue+ajEAfD\nnTNNGoULRIkca/PuIPgIulhHqw3cEU4XLFZBrPtgSIKgFNLXFoCk83WQgm/7RSW96X5uapcszUNE\n8Mu2h5dbKLBh63Ws3jA40r8csmzOByEiTE5OsmXLltbXMAw5cOAAe/fu5bnnniNoe+1fTjVPqmak\nRxYi4gKfAn4QuAn4iW6bcRFZDfwucLeq3gy848W5olw85eTk5FyWjO8c3CNnxSl7OTkXiUF35VcS\neTp27BinT59m165dPUYTKxFPjUaDRx99lOuuu46NG5d+V7rnPLFpA6u330CSpnU5CEnbnX6JE3st\nxS6xE8X4jkuMadUStdOeeOdGCRIlRKmgSNCRmsi2UNsDqZA+vKYdRNHHHS8ToC1hpWMlovQcy41Z\njRpkUUAdSXtTmdR+3MBEGeO7KEvRtIIKnul1LbSXlWXlrkQYcF0SVbz0NeiJTqULbgPIWAkT2nTE\nKI56xoprdVxpNvpVxPeI6yH+WBl/rMwP/sr7R3sBRuBCzCaax09MTHDNNdewc+dOtm3bhqpy8OBB\n9uzZwxe/+EUWFhaGRp7OnTvHnXfeydatW7nzzjt54YUXevY5cuQIt912W+sxNTXFJz7xCQA++tGP\ncuWVV7a2PfTQQ8u/mItnVf4a4AlVfUpVQ+BLwD1d+/wk8F9U9Rl7aj2z/AmPRi6eVsCqVYP/ymT1\ngvLyCrOcnJyXkiw3siH1ToOo7psbuC0rZS/nlclyDSMOHz5MpVJhx44d7/OjCwAAIABJREFUfR3G\nljOeMYZqtcqePXvYtm0bs7P9a/TaufGX3oUmBvXSYv1GQNL2X7yLEAcRWvA7FYYxOGmEKk4X6K2g\nRp/zeKmgaKYEMlbqFWXLQIOIuFqnkKa+FXDg/2fvzePrOu86//fznHPuLsnaZVmWdzuO9yUNXaa0\nJCFtyqSEbdpSklLaQghMgRQayq+//jrQEobpr8O0QH+dti8C/EgZUpIGSAJJpx0YaNPGi7zb8u7Y\nsiTbsqS7nuV55o9z79F2z9WVrCS2c9556RXrLM9Z7tW9z+d8v9/PN1/ELLve6fJxHFFJd5sUvTIk\nxbLwqfx4pjFlmxIKz5TYKF984PevMqSBUBNNbRPl/5MtIB1vDgbq0zAkruG7GHplm/h4IsySgkAe\nOigkoPPFQFxVXgclBYqJmjS0H7XTgBGLoVF4jkO6dRHb//3d8z3zGSyEeJq8fyKRYOnSpWzfvp1N\nmzYxPj7Oiy++yIMPPsjv/u7vcuLEiarjPProo9xxxx309/dzxx138Oijj87YZt26dezdu5e9e/ey\na9cuUqkU9913X7D+13/914P199xzz3wvqF7x1CaEeGnSz0cmjbIEODfp95fLyyazFmgWQnxHCLFL\nCHH//E54diLxVIUodS8iIiLilSWqd7o5qdcwQgjB8PAwQgg2bdoUOtmcS+Qpl8uxd+9eNm/ePGuT\n3gqr3vMu0suXgJQYjWnfXlz74mYiNqLBdqbUMkkEspx+Z1CxNvcjMFN95KZdd+BWV4SSU64FUkFU\nai7IGnbWldRDU4MhjUBgxZCYniJeFj2VH0vIGcsMVwU1SWZ5PKvWE+KJu1UXblnUkYz7/aM8Rax8\nHIBiLhe6n102mqjev0ogEjGkmjD4MJIJZLlwVSIQhgycB7f/+DvrPOP6uFbxBOGR3Vgsxkc+8hFu\nvfVWvvrVr7Jq1SpOnz5dddtvfvObPPDAAwA88MADPPXUUzWP+a1vfYtVq1axbNmyazr3GShd3w9c\n0lrvnPTz5TkeyQR2AO8C7gY+KYRYu7AX4xOJp4iIiIiIiIgFoZ60Pc/zOH78OKZpsm7dupqF+YZh\n1EzxqlAsFjlz5gxbt26loaFhTufcffe/w0jEsMdyELd8e+98ER23yvGksmDSBE1y/Yaw02qZEOhs\nHm0aQfpcNcSk5cakyFEliqUzSeIti/wmuzUwa7nYTKIek4fZ+jIF51vLcrTW+GiMxjQ6FaeEn8Zo\nADEEujARNZrMlD5OaGQmhWf44koG3aym4qCJZzLo4tQGuaVCEa9UCvaxHduPHCbivPt3fmNe1xTG\nQoin2SgWi3R2dvK+972PO+64o+o2g4ODQdpqV1cXg4ODNcf8+te/znvf+94py77whS+wefNmPvjB\nD1ZN+5sVrX2r6Xp+anMeWDrp957yssm8DPyj1jqntb4E/DOwZe4nPTtRIlkIjbN89taqv7Srm6MA\ntdM6b0Ir/IiI645a32m11tVq5l7r86JxafjK1OZwwwhz++rwQVeFN/MWTTWKnmt9yIxeDD+XGpO0\nVDF80pUZqe6GFXHjU8uKuZZ4sm2bPXv20NbWRi4ksjCX8QCGh4cZHh5m+fLlgUvfXNj+u/+RE48/\nDWiUPWkSV3JASLSeOH6lSa4G7EIRk5lpesL1MA0T4fk1UQqm9IGqhYmAbIEinu/eV06Xk7EYrm37\ndVTlsdRrYAHt1FOvJQWOVig9EaUzEbhj/usdw0AbEterPWEWhonreSg0ljTwsvmJJ/5STOlZ56KJ\npZOYuSKl7PjEvRYCLBNtlxDaN+BwtULki5iZFMt/5E2cOXuW9vZ2MpnMvB32JlPLqnyhqLjt3Xnn\nnVy8OPOz+zOf+cyU34UQNc/Jtm2efvppfv/3fz9Y9uCDD/LJT34SIQSf/OQnefjhh/na1742txPV\nLNTk9gfAGiHECnzR9B78GqfJfBP4ohDCBGLA7cDnF+Lg04nE0zzp7BAMDlV/qpRJQzbkOyEWA9uu\nvk7KSEBFRLyS1BJHtXo81RJHnR3hX0idt4anDi16y/R07Qms28PF0SshnHQN4aSPHQ5d5/zb8dB1\nV74bXie1+MkXQ9dF3NgYhoEd8iVXLBbZs2cPq1atIpPJcPTo0VnHmy1t78KFC5w7d45ly5ZVrZmq\nByudZtm9d3L2qedxR7MIKRExy49eaN8pzjME0lNB5EIAQmu/V1Aqic4XpkRChGGAp8rOez6OFAgp\nMFxfEFSLnEycUwpyRT89EAG2izE5WShmgiHxEhZuWdAI/BQ9vx6LmuPPoM7JvpMvIAEPPxoUy6Qp\nZnMYpollmGjbRpoWpm1Ty8GvliCu1Fcp4UfjDKYKJYBYKomdzfvboTGReLkiiAlHPQ+NFYvhlkr+\nmQjhiy4P4o0ZYg1pPvLH/5mrV69y5swZ8vk8LS0ttLe31xXtDOPViDwVCgXS6TQvvPBC6DadnZ0M\nDAywePFiBgYG6OgI/3549tln2b59O52dnVP2r/DhD3+YH/uxH5vHmS5Mk1yttSuE+BXgH/EzZb+m\ntT4ohPil8vovaa0PCyGeA/bh+4h8RWt94JoPXoUobS+ELYeiuqeIiIiIiIgwqj3JDosUZbNZdu3a\nxS233EJHR8c19W+qcPbsWc6fP8+OHTuwLKuu8cLY+V8+jrIMREMKoTRaiiDtTiLQnuc75U1KuROV\ndfki2jDwLCOwjXDtmREaU2kM149EOWWTCRUiWlQp5ClrBdvFzReQRSdI+7OQSKUDw4iKw58zzTCi\nhEKlE1MMI3QiFvw7MJawfBMJvyZLowxZbmorAgMMnS0QR2K6Cl2yy3PlOgw+JqU8auGnQrqGxBMT\nqYzCDX89lRAYmVS5we7EVFbG/adgvpGEwCvZgR+imYyDp5CGQXEsyxvf/1NYlkVnZycbN25kx44d\nNDU1ce7cOfL5PP39/YyOjs5ZSM3HqnyuFIvFKZb+1bj33nt57LHHAHjsscd497unm9NN8Pjjj89I\n2RsYGAj+/eSTT7Jx48b5newC9XnSWj+jtV6rtV6ltf5MedmXtNZfmrTNH2qtb9Vab9Ra/9f5nfDs\nROIpIiIiIiIiYkGoZhgxOjpKX1/fFCOHaxFPWmtOnDjB5cuX2bFjB6Zp1j1eNVzXZf/RI7Tf9eZy\nNEmDoBxh8cc0M+lyKphGNKTAMKZGmjyFdHxpNTFdD7mmcjTJRCK0xkFDYxq7UksFqNlrQGrGlSYL\nHOmpKYYRMSQiV5xmDuEF/w6MJRwvEGUWAuGpumJZXj3nbllB/yql/ciR4SnkJJ0y/ViBhXkyTnE8\ni5vNz4iuOa4bNMgNzgeNGYvh5ot+7ZRlkmxu4p0fewjP87BtG8/zEELQ3t7O+vXryWQyNDc3c+HC\nBb7//e9z7NgxRkZG6hJS1xJ5qleoaa1njbQ+8sgjPP/886xZs4YXXniBRx7x+8peuHBhinNeLpfj\n+eef5yd+4iem7P9bv/VbbNq0ic2bN/Ptb3+bz39+HhlwC2dVfl0Rpe1dA1HqXkRExM1MlLIXMVem\nG0ZcunSJY8eOsX379il9aebTDwr8SePRo0dxHIctW7YEk9S5iCetdRA1cxyH3bt3s3TpUjZ98VN8\n47l/8afjaiLqRDLmR3nwRYk3nvMNENJpvFxuygS+IoxsFCKTxMkVMPRMIWBlUqisXzxtItBjucBS\n20GhDQORSuLliwjPm9VQoRae7VTttTTlnqj6Ju2xVAqdn1sto0IjE3G0FNj5PDHTolTIhzjlTexT\nuWavvL8q2v69KpTwi2kmrqmSvqdcNaVBrpYCy4zh2Q7CMIilU9h2iXd/8mFSqRRKKTzPQymFUgrX\ndYPIUVtbG21tbSiluHr1KoODgxw7doympiY6OjpYtGhRVZF0reKpnnqpekRWa2sr3/rWt2Ys7+7u\nntKzKZ1Oc/ny5Rnb/cVf/MWsx5gVDbwGtXmvNJF4qsGWQ0fou/WW1/o0IiIiXkdcT/VOERFzZbKI\nGRgY4MyZM+zcuZPYtKLC+USelFIcPHgQy7LYuHHjlElmveMJIYIJqm3b7Nq1i5UrV9LR0YFSivW/\n/vMc/tzXcEfH/b5G5cm6QKMMA+n5x5AIdC6PSCUQUqKmRUHMeByVzWMAGoGyJNpxg4iIW7TDTLbL\nhhQCNZ4PbM8rxhOVsZktre8Vws7XED1lM4ZKzRJAzDQRrocu12XFkODObsouTBPXc9G6LIam3a/g\nXpsGHiBc/97a5ZF1pS+Vkni234XLsgzy4+N0rVvFj/yi3wJIShkInYqQGh4exrIsHMdBCIGUkpaW\nFlpaWtBac/XqVYaHh+nv76exsZH29nZaWlqmjDNf8VTPvtdSj/XqszA1T9cbkXiahUxLbVvOsfFw\na71iMfwN7tb427gJ32cREdcFNQ0javypJ5PVnwR2rwx3oeu8vTt0XeJHa4igWzaHrhtN7ghdd6XY\nE7pO1niS2dJ8MnRdZn34TbHCQutA0+DsLmoRNz4VITKZSkTpzJkzDA8Ps3PnTswqHeLrdSOriCLP\n89i3bx+NjY2sXLlyxv5CiDmJMdu22b17N2vXrqW1tRXP89Bas+k3PsjZb/wT2eOnUSXbn8yW64hc\nz0M0pFHjE9Em7Xpou4T/bN2f6AsEeBPnItAIx/P/FbNw7BKe66fEheL52/v7i6mRo5IDCDxD4niu\n7+YXj+OWJowjrFjcN29AlNvCznK/Z1mthUBpFUTGZCyGY9u+cQYgkUjti00PEZhkhEUdEpkMzrTP\nEFXuo2XG40jTxMi5VKsu0WWBJFIJvHyxvIV/nRKBiJuoku2nAqYSOGUzD8O0kJ7HvZ+sbk0upWRs\nbIxz586xZcuWIAXV87wgrU9KSXNzM83NzWitGRsbY2hoiJMnT5JOp+no6MDzvGsST/UYn8zmnndd\ncRNOaqOap1lY9b/311zfvSx8ctHcHP7GrrM9Q0RExAJRZf4WUKvvY62/49cr+gffDV1XfD48nS/1\nuX96JU4n4jpCCMHY2BgjIyNs3769qnCaCxWxs3v3blpbW1m1alWoUUU9T+SllOTzeXbt2sX69eun\nCKfKhPQNX/i/cIolDNNEK4VsSAfdntR4HgwjaJYrytfnu8JJPwrSkEZ4IdEV28YqKxWnbNzgoMCY\nOh2ryynPU5jl+iRZmmocge0gEKiK1IiZuGhcwDMkIp1EJyx0IoZOxpCpJCoRw7MMXENA3MKpuN6h\nA9dByrVa0naD+iir7ChYOWNpzf6aF7NZ/zrjscCUAvymt6Lk4JSqW6JrKXCEL1BVvjjlLpmpJC4e\nuuQEVuXFYqkcx/PtuLvXr2Xnj99Tdezx8XGOHDnCli1bSCQSWJZFPB4nFosFgsbzPBzHCdL7mpqa\nWLNmDbfddhtLly5ldHSU0dFRjh49ytDQEG4d9V+TqVd43TDRJw3a03X93EhEkafrENOsp19YRERE\nhM+V0jyjTvEaUaexl67pnCJef1SMHDzPY8uWLQvyZNy2bfL5PCtXrgwaflaj3rS9SgRr06ZNNDY2\nBsJp8oS1Y8cmlrzrbVx45n8hLAt3PIewTKRT/mL2VNDQ1vKdrwMMBGo857vSNaRR49mq/Z1EeVty\nBT9a47ll+28wpETomVG9amPMmv6GIF6uUwqiV55C5wpTzkopjSjZwTLtVa+TqkfUeY5T9ZrBtyH3\ne1cpjFgSVbKrRuA8150yhlMx7lCCZFMDxdHxYJ1GE29qZHx0dIpRhItCKF/wiZiFloK3/NYvMTQ0\nRGtr65QITy6X48CBA4Fwmky11D6tNZ7n4bpusL6xsZHGxkauXr1Kb28vV65c4fTp0ySTSdrb22lr\na5v1YUI9aXuO42BZ82tW/JpQZz3djUQknhaA7mUWF87U6IwbERERUQdyxxtD19VK2bsRiKJONzcV\nUZJOp0kkEgsinIrFIrt37yYej9cUTlCfeBodHSWbzbJ169ZQ4VThLV/9LE/e+k7skTEwDbTjIqRE\nphKobB7wxY+XK+KgMCvpemUMBPZ41hdTlonnupg6vLeTn5pXRvn9o1xDYqYS2ONZf72UiEkTUUNK\n3DoEY806pUlnUA+iDsVmJZN4hWJg7W7G435dWKEY9G0y0im8XCF0DI3fqCfR3EhxZHTK+TulifmW\niyaWiGOPjgdXIEwDt1xXJfCjVfFUko3vfDs7fuSHGRwc5MSJE2QyGTo7O0mn0+zfv5+NGzeSSqVq\nXlstIVVJ7dNa09jYyKJFi1i5ciW5XI6hoSH27NlDLBajo6ODtra2qgKoHvFUKBSmmK9cz2it0U6U\ntve6ZLbUvVpEqXsREa8/5lvvdCMw35S9iJsX13WDtLrVq1cvSEpRLpcLUuvqSf2bTTyNjIxw8OBB\nFi1aRDKZrCmcwHeV2/bpj2Ik4pCI+alrSiEsP/0tqLspb68qNtrmzHoV4biYmsDG3Ck3b615PfhR\nYzWe92t3ECilcSDow+QKIBFHGzI4n1ea6a+tFgKZSuBZBiU8Sii8cu2SLFuli5IDhdKUSJIdIpy8\ncm8qjUAC9sjYjCiWUywgE3G/PgqBKtoI0/fYM1NJlOv5988wiDdmQGmMRJz7//gPaGpqYu3atfzQ\nD/0Qy5Yt48qVK3zve9/DNE3y+XxdDpAVpJRYlkUsFiMWi2GaJrZt47ouruviOA5KKdLpNCtWrOC2\n225jzZo1lEol+vr62Lt3L+fPn5/SVLpe8TRbj6frBg14ur6fG4go8nSdEqXuRURc39Qyi7heiFL2\nIl5JhBCUSiV2797NihUr6OrqAuZWj1HNmnlsbIz9+/cHqXX1UEs8TbZLP3r0KLZtE4/HZ52krrn/\nPvr++C+wDx73LcrRMJ7zRY3WGPEYlGziDQ2441kMwHMdRDyOsN0ZERqBCOqdlKcQDSns8RwGVE1z\n81x3iu22n+oHRuW5t6dxlI3QvnTy0JiJBKWiL0yEkH4ER/vCLpZOYefy/pkIAVpP1CmVmwJr/Jol\nz3GC04+lUxRzvrmDiFnYto0oixupBV7Zxr2SflcoFKakz1XHjwtpNCIexy4V/aiO8u+RNATam/l6\nuuUqLlUsTUkrlIkYprJw8v61aykQhkFpLEuydRE/+bsfx4pPfGYLIUilUoyNjbF582YSiQSDg4Oc\nOnWKZDJJZ2dnXWl2wfHLzaEPHTrErbfeimVZQTSqIsgMwyCVSrF8+XKWL19OoVBgeHiY/fv3I6Wk\nvb0dy7JmNYwoFAqzRsiuGzRTzFNuFiLxtEDUSt1bulRw7tyNpaojIl4v3AhmETVd9mrUO72aREYR\nrz8qxgvr1q2jtbV1zvtPtg2vMDIywqFDh9i6dSvpdLruscLEU2VCvHPnTizLorm5mQMHDtDS0kJX\nVxdNTU1VUwyVUhw6dIhb/vBj9P2Hj4HWeNk8Imah8n49jir5MRLGsxMpYwgo+fYH0jL9bkXOzCeh\n0lPY47myLbkfqdFSEksmUOV6pHpc8rRW5YRB3+FOF0sTNUTlaYeRyaCzBVSuOCFqNFPGVq47IXcc\nd4ow0bkC8fJaZVlIu/aT3XgqjZcPT8lTgJVOUsz5PZ90yfbT8sovnzYkenIESAqMTIrSWNavCZsk\nzCr3TgBu+ZgyZoFp4OQLJBY1sfrNt/PG9/3klHPwPI++vj6WLVtGe3s7AA0NDaxatYpcLsfg4CCn\nT58mkUjQ2dlJe3t7TSFVGW/lypW0tLQAYJomSim01riuO0NIJZNJent76e3tpVgsMjw8zOnTp3Fd\nN0jvqxZhupHS9kDX3UPsRiIST3Wy6n/v5+JP/VDNbTKXr4auC4uwJhLhzXRNM7yZ7k3o/BgRcc2E\nPUiulSFTa11jQ/i6TGf4xC62PnwiKdZVT9sba78rdJ89Q22h604OXwpdJ2X4xGttR/XUws3tL5Nr\n2l51XfrcPyHWram6zjo1s8lixM3N8PAwGzZsoKmpaV77V2zNKxGgSu+cHTt2zJg0ztY8tJrb3vnz\n53n55ZfZsWMHpmniui7d3d0sXryYkZERzp8/z+HDh2ltbaWrq4uGhobA8vzAgQNkMhlWbtwIv/Mg\nez/9RbQAL18sO+/pcvSlIn4UViyGLgsLAQjHwzNk2ZnPt/GeHGGqnG1F+KA0Klfw+zpJ38TBRSGF\nRIbMP+uZltrZXB01T3VSR1SxlM8H4svvUaXRQmAl4rgF31rcyxX9psBVrMyNeAwvX/BT/+IxKDno\nsZxfR4ZG4t9/bZoo18UyTOxswV8mBFL4zXjjDQ0km5v4yJ9/Ycr4Sin27dtHZ2cnnZ2dU9YJIchk\nMmQyGVatWkU2m2VwcJBdu3YRi8UCITW5XqkyXnd3dyDEKlTe2xXb88n1Ua7rIoTAMAwSiQRLly4l\nHo8zNjaGYRgcPnwYz/Nob2+nvb09iDYVi8UbRzxV0vZuMqKapwVk8YZFr9qx5tlCICLipuV6+Zto\nfufK0HXGnW9+1c6jtnDKvGrnYT3416/asSJeXZYtWzZv4QQzG+qeOHGCnTt3zhBO1fpJTWd6n6ez\nZ88yMDDAjh07kFIGE9VKr57W1lY2bNjA7bffzqJFizhz5gwvvvgi/f397N69m6amJlau9P+WN/3q\n/bS/YTNGQxol/ImTQiPKhcuibOGtbBeRSTH52aYq9z4y8FPoSCV8e3DChY8ATAVS+LVOQmuU8AVV\nCQ8bhbLMSZVXtRFy9r5B9VKqEVHy0IG9uU7GccrnZyKwNFDwU+1qPfv10BQKRZRRvvaSM9WOPJEo\nN+EF4XoYCBzPRcb8KJ/UICwTIx5HK48PfPlzmJOEjtaaQ4cO0dzcTE/P7FH7ioi6/fbbWbt2LaVS\niT179rBnz56gXqkyXnd3eK0r+O93wzCCGqlYLBak+zmOE9RLWZbFkiVL2LZtG5s3b8ayLPr7+3np\npZf413/9V44cOTJrzdPf/M3fsGHDBqSUvPRSeBr2c889x7p161i9ejWPPvposPzKlSvcddddrFmz\nhrvuuouRkZFZ71UoStf3cwNxnUw3bgy6nvjevPdtbw+fyGTqz0yIiIi4Duja2PJanwIAJ4ezr9qx\n0ufCU+/c5+b/2Rhx43KtjnqVyNPZs2d5+eWX2blzJ7EqoeB6nPQmb3Py5EkuX77M9u3bA1EV1lRU\nSklHRwebNm1i+/btXLp0Cdd1uXjxIidPniSf95313v5Xn8NKJfwGtE0NWOkUqlj07bATsaA2SWXz\nCMAzpZ9+piYiK5XeRLrop/UZyQRuiMkE+Kltwb5aYyhd7qskEI5fJmA1pnENcA2BawjsSs+kRCyw\nBY+nZ6+PCXslfdc7XxB50u8bZaMQDemJ/kwxXwxK/Ga+8Xg8EErVxo1NmvRoQCTjKMvvnWUgQCvE\ntDoZDZgNaezihGOfv7zci6qcdqgBt1jCMAze8fFfZc2bdk6MoTVHjx4lHo+zfPnyWe/JdCrGD294\nwxtYt24dtm3zve99j5GRkcAsol6mC6lKrVMl6mTbNp7nYZom3d3dbNmyhS1btpDNZvna177GU089\nxac+9Sn2769uaLZx40b+9m//lre+9a2h5+B5Hg899BDPPvsshw4d4vHHH+fQoUMAPProo9xxxx30\n9/dzxx13TBFWc0JrtOPV9XMjEaXtXefEYuGpexEREa8ci7tevXqn+absLTSb219+1Y4VcXMzW5od\n+OLrzJkzFIvFIEJUjXrFk+d5HDt2jGKxyJYtW9Ba1xROk3Fdl3379rFs2TK6u7txHIfh4WGOHDmC\n67p0dHRw+5/8P3zvwU9RGrzsix/LxHBcvGIRI5XCcxwo1zdJVwVRIa8iCiZfO0DRxkCiXLfcK0oT\nS6VQ+YIvtIrVG8VORnsKw5uIYwWioliiIskU2jdQkAIMA608v6+TaeCVbb+FaeAphTQEaF+saaVA\n6QkTduU76FV6WVVqq/S0SYpbsmdc72Ty2SyVu2NJE10o+eYT5X3MWAxlO8G5G8kEumSjp91HmYhj\nFwt+DZTyRVQsk8YtldjwjrfzzocfnHLcEydOoLVm9erVs97X2UilUgghaGlpYeXKlQwNDdHX14eU\nks7OTjo6Oqo+CKhG5X1/4cIFXNdlyZIlKKWC93wltdUwDO6++25s22bPnj2sX7+eJ554gk2bNs0Y\nc/369bMe9/vf/z6rV68OIqzvec97+OY3v8mtt97KN7/5Tb7zne8A8MADD/C2t72NP/iDP6jreqZw\nk6btReJpjnQ98b2atU+LNyxi4GD12qf2dsHw8MK9iaSMap8iIq6FVzPqe7Om7NWKOkUpe69PKmKn\nlmuY1ppsNotSiq1bt9Z0vqvUi8xGoVDAdV02btw4J+HkOA579+6lt7c3qIGxLIvu7m66u7uxbZuh\noSEG2zI0/vSPcunPn0Zm87iOSyyTwsvmUfkCsjGNMiS6WAoEh4XEKdt3y3gM4Wko1/kI7fdzmujx\n5EemEALPNHEcv2mtMa2/02TcQpHZkvJK4+N+fZEiOLYE8FQwCfRsB+l5QcffsJmKDOI71fENHSbX\ndfkpdloIYqkk2vPQxeJEDdb011UKPNvGA6xUEpkvogslBBOZXcIycR0HiiXMeALXtsGQGFrj2jYN\nPYt5759MjZScOXOGQqHAxo0bF6QH2fnz5xkZGWHLli1IKac46FWElBAiEFLxeG131qGhIYaGhti6\ndWvwdzO5RqrybyEEuVyOpqYm3vOe91zzNSxdujT4vaenhxdffBHwjVYqvdW6uroYHByc93Eiw4iI\nV4xMOtw4IiIi4sagVr3TQrPQKXu1ok61UvYiIqZTSccLE09KKQ4ePIgQguXLl89qGV6JKoVRMXgQ\nQnDLLbfMSTjZts3evXtZsWLFjGL/CrFYjJ6eHnp6eiht3Mi3Ll7m4tPfRtgOru1gNKTxxnPo8Tye\n1gjDAMuEsoiKNWRwx3NQcspRIImZTCALNq5yZ0ZpNEjHJYbEw4/+KCkwUgnsfAGtFLF4Al0q+dGh\nWSow6pIKur4nsaKGcKqk9zlCkGjMUBrLInVZTGlQ5d5O8WQCrzBfV5nTAAAgAElEQVQzqqakwFYu\nlNP/dL44cXpoX3gZEhz/ngnTT28TUoLrEVvUgOd5fOAvv8DJkycpFArBazo6OsrWrVsXRDgNDQ0x\nMDDAtm3bZrx3k8kky5YtY9myZRSLRYaGhoLUuo6OjqoOelevXuXUqVNs3759yt9MmNnEk08+yZIl\nS7jzzju5ePHijPP7zGc+w7vf/e5rvs4K9fwdhbKAkSchxDuAP8J37P+K1rpqLqEQ4jbgu8B7tNZP\nLMjBpxGJp3kwW/Rp7V09HHt+4dJfaqXuRf2gIiJqU2fmRN28mvVOC52yFxlFRCwkYROqWml2Sin6\n+vpobGzENM26ekLVO142m52TcCoWi+zdu5c1a9bUbbUej8e557HP8fRdD3D5+31+jc14zrfTTiVx\nszmEp9CejUaUrcxzgbwRCETZVQ8h8IRAaTXDiQ98SeSZJriev0+2UJ60SXTJBiH8WnvLxEglKI2O\nAxorkcArTqTC1TV1FZIg7FQFjQYp8bRGab9nlOu4GKaBcjy049u3CykwlcYdzZYjYlX6VxXtYEwl\nBLFMitJ4DkP5208Xkx4Qb26iMDI6YQlvGtiuC2iEFnhSoDX88je+ytqtWwA/FfPEiRMMDAyQSCQ4\ndeoUnZ2dpNPpeYuBkZGRqkKnGolEIrAiL5VKDA0NceDAAbTWgZDyPI/Dhw+zbdu2KQ5+06kIqS9/\n+cs0NTXxpS99adbjz8aSJUs4d+5c8PvLL7/MkiVLAOjs7GRgYIDFixczMDBAR0fHPI+yMA1whRAG\n8MfAXcDLwA+EEE9rrQ9V2e4PgFf0iV8knuZJQ3ftSUimsfqbOtMIL5+t/gHVvAhGR6u/ya4XJ7GI\niOuRWn0MQ2qxAYjHq3+B9qwI/xJLLwn/25crukLXic5VVZe/dOWNENLl4HvHBkLHO378SvVzqJGy\nd3lN+AQxE1tedfnm9LdhcXV7cvXPz2Gsqv60PuL1SyXyNB3XddmzZw+dnZ309vZy7NixutLxwsST\n53ns2bOH9vZ2ent7GRgYoFQqEYvFZp0cFwoF+vr6uOWWW1i0aO5Oue969qv83dt/lit7DmE1N2KP\njPp9oEwD5Xq+kMCPumg0simDEwiKMlpjWWZQJ6UMgad8gwc3m/N7SblVIlPB/pBqasIZHUeNZssN\neEW5lqpsYAFI00RLA6RAeR6GZWHn85jxOE6pBELieX5TXCse92ubTBPtuWhPoT3PvxohkUohkaic\nbzmubbdyVACEZUEpvFDbReNoRSKTwc3lkRrc8XxwvmYshradwIpcopGuR27k6kRNVDqJZ9uAxkom\ncW2beDrFvf/3b7D2zbcHxxodHWV0dJQ3v/nNCCG4dOkSJ06coFAo0NbWRmdnJ5lMpm4hNT4+ztGj\nR9m6dWtNoVONeDzO0qVLWbp0KaVSieHhYQ4cOMD4+Dg9PT11PUR46qmn+Id/+AeeffbZaxZOALfd\ndhv9/f2cOnWKJUuW8PWvf52/+qu/AuDee+/lscce45FHHuGxxx6bfyRLs1BmEG8AjmutTwIIIb4O\nvBs4NG27XwW+Ady2EAcNI5qSz5P0f3uh5vru2xcv6PFic/s7jYiIuI6Qb/rRBR0vTDjNl7s2Luzn\nlfzRLy7oeBE3FtXS7GzbZteuXSxZsoTe3l4gXGRVG2+6eHJdl127drF48WJ6e3tRSrFkyRL27t1L\nX18fFy9eDB07l8uxd+9e1q9fPy/hBGCYJu/8h6+SWb0MeywLCQuFRroKI5PyHeDK24py2poA3747\nEUNUvtTLrnkAwtOYGrxsHhB4puFHswRgGlUjSPboWM3zFIBRESRFG+F4qHy5WW7JwUJilVPrrPIy\nHBdVKPo9qzwVeObpGg9mKjiliXQ8Ve5/ZTSmEcl4+Z5oTCRuNj+zdMo0cG0bp2wnIVwX7Xq+LTwQ\nX9QIgJvLYyQTxBsyuIUiscYGtv74O3nbLz0QDHX16lX6+/sDoWOaJl1dXWzZsoWdO3eSyWQ4efIk\nL774IsePH2d8fLymgCkUChw4cIBNmzbNahM+G/F4nM7OTpRSbNq0iVQqxeHDh/n+97/PqVOnAofH\nyfzbv/0bn//85/nGN74xa/0UwJNPPklPTw/f/e53ede73sXdd98N+KYU99xzD+A38f3iF7/I3Xff\nzfr16/mZn/kZNmzYAMAjjzzC888/z5o1a3jhhRd45JFH5nWtWvs1T/X8zMIS4Nyk318uLwsQQiwB\n7gP+dF4nOweiyNNrQE+vERp9mg9R6l5ExNxpalpYN73Euzcv6HgvHAiPOoVRK+q0rkbUKYzN6W+H\nrlP//Nycx4t4fTDd4KFYLLJnzx5Wr149pa6oHhe9atvZts3u3btZvnx5MAlVSrF06VJ6e3vJZrNc\nvHiRU6dOkclk6OrqorW1FSkl2WyW/fv3s3HjRhoaanTBroN4Y4YfeeILPP3W9/oRlKKD0ZjBGRtH\nCgHarwESCETZOc9AoIu+IYJMJaDkW1JXc+MTrgfpJDpfRLteYOvt2g7SNJBSIgrFGec1HS9frK/u\nabZxJgm9KUgRpPMlW1soZbN4JRsJmEi8Mb+g20BgZtLYkwq8NSDiMZxSERRTXPf89RptGhhSUro6\n6i80Dex8AeV6JJob2fDOt3P/n/7nYJ/x8XEOHz7M1q1bqzreVYRUV1cXruty6dKloEaqWkTKtm36\n+vrYsGED6fS1uwx5nse+ffum1Nn19PRg2zbDw8McPXoU27Zpa2ujUChgmiYPP/wwf/d3f0dzc3Nd\nx7jvvvu47777Zizv7u7mmWeeCX6/5557AjE1mdbWVr71rW/N8wonM6e0vTYhxOSmVF/WWn95Dgf7\nr8DHtdZqIWrbahGJp2sg/d9eIPcf7wxd3337Yi68OLcJUFOTCE3di1lgh3x2RUREzCQx+wO6ObF4\ngSPKL11545z3iaJOEdcLYROUyRGlXC5HX18f69evnzHxm494mizE2traAuE0ucYpk8mwevVqVq1a\nxdjYGBcvXuT48eOkUinGxsbYtm0bmcy11/8Vi0WOXxrkbU98gX/92Y+hXAdnbNyvZZpWxyQNiY3y\nIz5lVFnUmI1ptO3gFEvI8j6VO+uOjgfbC0AXyhbkXjk6AygpcZXnR2JsG7dUIt6QwR7PYsbj6FIJ\nIX2L8uqdl8BKpXAnNcCt1DgppZFldzurMUN+bMw3uzBMnHweUxrlHksCiaRw5SpSz7Rmr1DIjvvp\niAiSixooXR2DUgkLgc1E+p9CYyYTaNfDc/y2uApINGRwlYeTL5BoauDWd7ydD/z3/zcYP5/Pc+DA\nATZv3kwymax2ClOYLKQ8z2N4eHiKkGpra+Po0aOsXbuWxsbGWcebDa01Bw8eDGqeJhOLxViyZAlL\nlizBcRxOnz7Nr/3ar9Hf389P//RPk8vdgK5imrk0wL2ktd4Zsu48sHTS7z3lZZPZCXy9/DnQBtwj\nhHC11k/Vf8L1EaXtvUb09C5cx2+oXfMRERFRP7XqnebDfFL25hN1qkUUdYp4NamInfHxcfbu3cvG\njRurPjGfa9pePp9n9+7drFu3jra2tsDCOcwcQghBU1MT69at45ZbbmF8fJxFixaxf/9+jh49yujo\naF21JtWomE2sW7eOlW+6jXc+9SVijQ0oQyLjMQxpoEwDr5ybpsp225Vms2LSkx13LIcq1yn52ygc\nFEZTA0L4NVOh9wa/CbCJwBvPIcqpeGo8H6TmxZLJsiufKDe99a3DvXL/J21Kivk8ypAoIJBlSvuT\nRMfFRFAcG/fHLNiobB5DgXanCbJq99OQuGhIxcsjCww09tWxKQYQKN/S3cPvJ6UKJWzHRqOINWaQ\nQClfQCmNGYux7q638vNf+fyU12Tfvn3zjhAZhhGk9t12222k02n6+vqwbZsrV67Mmto3G5UmvalU\naopFeDUsy6KrqwulFF/5yld4y1vewic+8QlOnDgx7+O/VmhP1/UzCz8A1gghVgghYsB7gKenHEfr\nFVrr5Vrr5cATwC+/EsIJosjTNfNqR58iIiKmcj08OFjolL35UCtlL4wo6hTxSmAYBmNjYxw7doyt\nW7eGTmSllDhhqWDTxsvn8xw/fpyNGzfS2NiI53lB35vZUnSuXLnCsWPH2LlzJ4lEAqUUly9f5uzZ\ns+RyOdra2ujq6qo7GlXNbKJty3ru+h9f5IWf/TXy54cQlolhGniuh1uu2TGRKEOCp1DFEkoKrEwK\nOZb1Lbg9P7pWiVY5o764kA1p3EIRYUiU42FZFqpkB8LDKlulh+FNS+0TANoXKL5dny+ShKcmbzED\nK53CyxWqrvN3E4hyqmKsMQNaY4/nEJ5vemFIienHz6bspoTAcR2kEBh60rGlQGu/s5Q9lg2iUcp1\nedMvvJef+cNPBZtWUuvWrVu3IBEiKSVDQ0OsXLmS7u5uLl26FNQjzcdsAvxeU57nsW7dulm3tW2b\n+++/n4ceeigwa3jf+9437+t5zdAaFsAwQmvtCiF+BfhHfKvyr2mtDwohfqm8/kvXfJA5cB1MO258\nzMW1P3ATzdVzh1Y3w4X+mYWBAIWQz6dYDPIh62o58kXNdCNudMLe37Xe92E25a2t4V94iebqxcDt\nP9Ibuo9YEi5Crnhrqy5/+ogFVC/2Pri/ekPC84eHQ4+DUf1GrNjUyaGQ/Xo6wms+Vqyu7g6YOfYk\nYkl3+HlEvO4pFApcvnyZ22+/vWZxfb1pe6VSiYsXL7Jjxw4ymcychFMlDWvbtm1Bob2Ukvb2dtrb\n24NUrePHj1Mqlejo6KCrqys05Sufz9PX18ett95KU1PTlHWdOzZy7/N/zj+8+yNkzwzg5PIY8Tiy\n7D4nEnHcYhFT+AYSUulyPZDAaGrAGR0Hz5thWW6PZ/00ONfz7ctLJb8ZbTKBMA3y4+O+e12+CFr5\n0aJJ+qSe+2yW7c1rUbnXGo2MxXxDCNsm0dSIV7IpFf00RAm4Y34fOv9Tyd/PK0dtNCCTcT8dz3X9\nXlCmiS438FVotJDEGtLI0XGkaaIESMvELhb5oV/6Oe755G8E5+W6Ln19faxcubLumqBaaK05fPgw\nDQ0NQYSos7OTzs5OPM+bl5C6cOFC0FR3tvesUoqPfvSjvO1tb+P973//NV/Pa4peuCa5WutngGem\nLasqmrTWH1iQg4YQiacFIP7bT1H6/R8PXd/xw70M/a+zcxqztVVw+fLc3nCRcUTEzcqNatU/0vOT\nc97nW985OfcDhQinWvzoD4c39L1n9dzrqsSGT8x5n4gbm2qTwIGBAS5fvkxvb++srmT1pO2NjIxw\n8eJFenp6pgin2RrrAgwODnL27Fm2b98eai1dSdXq6urCcRyGhoY4fPgwnucFE+aK6Mrlcuzbt6+m\n2UTD0m5+8t+e4Ol3fIDRY6dxs3mMhjRuvoAq+vVKrlYIIbHicVTRT+fT+WI58iPQhkQm4ti5HCYS\nK5lATWsqKwBVjiglGxtwxiYiTwpASrQUSNPw+zE1ZnBLJYx4DCklWuuJFDSt0YZEm9JvOCsEyvPT\nIZ2ifwwpZbkhrQAFqlyAbSJxR32hlCjXWU1Hl50HLctAphL+vSinMQoEMhnHKRSINWQojOf8KJVl\nUhwdQyFAeRiJOBgG9/2XT7D23985xXL8ypUr9Pb2hjY5nisnTpxASsmKFStmrDMMY85C6vLly5w/\nf57t27fP+r7VWvPZz36WdDrNxz/+8QVp6vuas0BNcq8nIvH0GtO9JhUafQojlQyPPoUhZRR9inh9\nkZmHKVL3LXN337LufdOc9/GjTnOjZtQphBWbOue8Ty3hlDn25JzHi3j9cO7cOS5evMiKFSuuqX9T\nhcuXL3P06FGWL18OMCfhNDAwwPnz5+fUk8eyrKBgv1QqMTg4yL59+5BS0tzczMWLF9m8efOs6X1W\nIsFPfPtxXvj53+L03/9PhJRoz8NDE89kMAEnm8MtFlForFTKtwenHKnxFCpXwO9yBF6h5LvzxS2/\nt1LJmRKbcqul0imFKNckGYCXL4Dr4ZWcqq1wRTpZNSVv4k57WKkErh3+hLaUy/vnZUhczyPR2IBT\nKCA8jUBTuuqbX0yukfLQFAt5JBJ7PIeBH5lyPA9pmEit/Ca56TQ/9//9IRvufhsAXV1dgeui1poz\nZ86Qz+eDJrjz5ezZs+TzeTZt2jSrcKklpFpbW4Oapf7+/rqa6gI89thjHDp0iCeeeKKu9/l1zwJG\nnq4nboJX5vog/tu1a9I6fjg85SeMWqlFYVwP9R8RERGvIgscdQqjlnCKok6vXyoTzJMnT3Lp0qUg\nynOt4mloaIhjx46xY8cOYrEY2WwWz/PqmlC+/PLLDAwMsG3btjk3M60Qj8fp7e3ltttuo7e3l3Pn\nziGE4Pjx4zV7SFUQQnDXn/0h2z7+i3iug0zGMWMxXzQViigpQPjOel6+gOvYyFQCoyGNsCa+yP1a\nKUEsnUSUHHTJb2arLQMySVxD4nkuWH4T3FBm+ZyoxwhBTb5mIVACPCkglfDNIIyyCYXnOw06Y1lw\nPLRSE4JNCjzARYEhMSwLo5yoqMpmEfFFjeD5Ys1MJVnU28Ov/9PXA+FUOd9jx47R2dnJG9/4Rnbs\n2EEymaS/v58XX3yRkydPztmdbmBggEuXLrFx48Y5R3wqQmrz5s3cdtttNDY2cvz4cV566SWampoo\nFouz3uPnnnsuaFRr3kSTuQUyjLiuuHlenRuYKPoUETE/5vP9Mp+HErXqncJ41VL2QljoqFMYkXB6\nfVNxELNtmy1btiClrNtFL2y7CxcucO7cOXbu3IlpmixatIiRkRF+8IMfsGjRIrq6uli0aFHVCe7Z\ns2e5fPkyW7ZsqetJ/2yMjY1x4sQJdu7cSTqdDnpInT59mnQ6PaWHVDV2/uZHWLRuBf/68GcpjefQ\nSiGkRNh+JCrWkPFT4Eo2ulDE1n5fKITAakijPA+VK+Dk8kEtlABflDgFDMBA4ioFyvfJk5aJjFko\nT2Em4yjXA0OiY1ZQCyWE8FP3lAKtEfEYWuCbNCi/Z5NhmOWGUwLluv4+rusf3/PKtVXan4wIgjS8\n6YiYhWvbxJIJ3EKhfB0S7Skcz0ULP01P2i7SsshdHcWwLLTSLPuhHXzo8T8hPimaVBFO8Xg8SK0z\nTZPFixezePFiHMdheHiYY8eO4TgO7e3tdHZ2kkqlQl/nS5cuce7cubpS62bDMAyam5s5deoU27dv\nx7ZtTp8+HUSkOjs7aWhomPL+3bVrF7/3e7/HP/7jP9Y8zxsNrTWec/NNPCPxtIBEtU8RETcuN1vK\nXhgLHXWKeP2itebAgQMYhjHlab2Uck4W5JOppP7t2LEDwzBwXZdYLMYtt9yC1porV65w4cIFjhw5\nMsUlTwjBqVOnGB8fD0TctTI6Osrhw4fZsmVLYCAR1kOqqamJrq4umpubZ4i61ffeRfvGdTz7vl9j\n5NQ5vGyeWEMaLQVOuV5IoZHSINaQxrk6Dlr7kRt8vWPG48hkAuU4vrGDN9Ui3IjHgma42nHxHH8S\n4FRMIDJJ3Gz4Q1ozYeHmpq6fPI0QponnOlWkkY8HvgizTKRl4dg2QuCnIzqOnzpYKCLwrdetTJpC\nNucLSaVRtusLPgkxI46Mx3jXpz/GWz/8czOOdfLkSTzPY+3a6mY8lmXR3d1Nd3d3IKSOHDmC67p0\ndHTQ2dk5xRBkdHSU48ePs3379gWJ+FQMLNasWRMYWExO7ZsspEZHR2lubuahhx7ib//2bxesbuu6\n4SZN24vE0wIzm4Ba/N5bGXj80IzlUfQpIqI685kDzafeaSG5no0iwoiiThFzRQhBd3f3DMFgGMa8\n0vZOnTrFyMgI27dvB/xJ6GRHPSEEra2ttLa24nkely9fDhqamqaJaZps3rx5QYTT1atXOXLkyBTh\nNJlKD6mmpia01oGxxdGjR2lpaaGrq4vGxsbg3NO93az6wm9z5S/+jrNP/U+0beOMZvFQxFIpKJTA\nUzhXx/2UNsCMxcFxEVpDyUEZEi/vGzhoBCJmgWkgTcN3o0vE8Uq2L2Kmn+8snxVC1F4v4xa4ZVt5\nKX0DB+lHr1zbRkgTVSogy8JtYjSBoxWiHGWUhoFQGjebRwiBNE1c20EaEiMeQ2lN64pePvKNr9Bc\nxcW0Yi9fT00SzBRSFUOQipBqaGgILPVjYfasc0Apxf79++np6aG1dWp/vek1UgMDAzz88MP09fVx\nzz33BH3HbgqTiDIayj3Gbi4i8fQKYHTPYl2+qLoD0crbElw8MHMCk+oRDA5VV+5hzqKxGNh27fOM\niLgRqDUPMkOycsK+Azs7wr+Ukq3V/y6b3lkjUrOoo+riy8XqKXOPf/cMUKy6buDUSNXlY/uHQg8v\njOrXs2jbYl6uMt6d71jD2YvV7dGv9lZPTewZfxxaq19nRERbW9sMoTTXtD2tNcePHyefz7N161a0\n1jWb31b27ejooL29nSNHjpDL5fA8j127ds1wyZsrIyMjHD16lK1bt87qGAi+kGppaaGlpSXoIXXu\n3Dmy2SxtbW20tbXR39/v11D9t//E0Id+lm/90u9w5VA/iVQSp1BAC4JUuWRDA6WrYyjbBiHwfM85\ndKEUiBIBaNsB2zeA0PEYXmliQqCl9KNA8RhKeXgaREMKaRhIISoj+NuW3fZEJoVpmgjDT6nTWvk9\nb7UG00QqD2W7aM/DnfTkVgAiE0OWJl4rYRp4SmHEY1gI3ELBt1sv95JyUBixOKpkY5iG/2EuJW/9\nxffzY5/6WNX7fOHCBS5dusTWrVvnJTAmG4LYts2FCxfo6+sjlUoxNDREZ2dnXa93GBWL8+bmZhYv\nrt1DzzAMWlpaKBaL/Omf/imGYfC5z32Oj33sY8HDg5sCfePVM9VDJJ5eAcwH/hL3sXBv/uZ3rmTk\n2YWpbWhsgLHxBRkqIuKGIja/OvAFQ94Z3hx7rvzzc8fmvE+YcJoP73nD3Ps2ia4PLdjxI24u6u3f\nVEnvO3LkCJ7nsXnzZpRSswqnCpXJqmEY7NixAyHEFJe8ig15R0dH3elYly9f5vjx41P6Qs2F6T2k\nLl68yN69ezFNk3w+T6FQoGPzOt77b0/wvc/+Cfu/9P/7T4gsgaEkynEpXR3HyKRwsjmExhcd+Jbf\nxC20Bi18xy9pGHj5Iro07UmqUuiS7UeiANmQwhnPE/qqZJKobJ6wZ64ik8IrVH9aK2MWSmnMco2W\ndj2U7af42cWSP4EGjEQMMxbDtR1EsYRyHF+UpeI0Lu7k/V/5HMu2V284PjQ0xIULF9i2bduCudAN\nDg6yffv2QDwdPHgQpRSdnZ10dHTMWUidOHEC0zRZtmzZrNu6rssv/MIvcP/99/NTP/VTANx3333z\nuo7rnShtL+IVp2tjS9XoU2dHePQpjLDoU5S6FxExlcXbFy7P/Lj5Uws2Vq2oUxiLtlV/4nnnO9bM\neaye8cerLo+EU0Qt6o08CSHI5XI0NTWxYcOGOQknpRQHDx4kmUyyatWqYPuKS15vby/5fJ6LFy/y\n0ksvkUql6Orqoq2tLXTyfenSJU6cOMG2bdsWLIXrwoULrF+/npaWFoaHh6f0kNr28C+w/ud+nOc/\n9NtcOXKc0sgoMpnAs21UsYQ0LVAeMu6nyLm5PF6pFBhHqPIP+JbfXrk/UiyTQjkuaI1y/EjRbI9a\nQgWJlAgpcG0bmYhhxON+KpbnoVwPZduIRBxn+lNcITCSCWTMwMnl0Y6HKtqUiiVkJo0Rs5CWSayp\ngTc/9AArf+wOBi5dYnTfvsCEo2L4ceXKFU6fPs22bdsWxATE8zz6+vpYtWoVixYtAqCnp4eenh5K\npRJDQ0McOHAArXXdQurcuXN1W5wrpfjN3/xNNm/ezIc//OFrvp7rGk0UeYqon1ci+hQmoKLoU0TE\nBI2NCzdWzZS9OeKn7M1kIaNOYcKpFmFRpzDhFBExG/UYRiilOHDgAEII1q5dO2fhtH//fhobG6s2\nMq2QSqVYuXIlK1asCFzyTpw4QWNjI4sXL55SqzU8PMypU6cWTDg5jsPevXtZtmwZHR1+2mul9sa2\n7Sk9pN74tc9SOnKKf/mtRykO+w9PVanku9AlE7i5PCL4D4hZmMk4XtFGOy4o3xrcQ4HjYo/MTM31\nCqVyalzZE6/ioleusXE9F20ZEyYUSqG9soOfAk+A0BqvOPOJbH7MP56VTGKXSmilkBqEAOfqODJm\nkWhO45YctNA4xSKZjja2/Yd382P/6TcD4bZq1SrGx8cZHBzkxIkTNDQ00NDQwIULF2o2Op4LSin2\n7dtHT08PbW1tM9bH43GWLl3K0qVLpwgpIBBS0yOSg4ODDA0NsW3btrqipX/0R39EqVTi05/+9E1V\n31QNrcFzb76n9ZF4egWZr4AKiz7Nhyj6FHEjs5CtLmrVO82VsJS91zrqFMZ8ok5hRFGniMlUm/zN\nZhjheR579+6ltbWVXC5XV43T5H337dtHa2srvSF1etXOsTIRX716NVevXp1i7hCLxRgeHr6mvlCT\ncRyHPXv2sHz58kA4TSYWiwUT9EKhwODgIJcaYmz56u/h7uvn6H//H1zefxQrmcApldAIZDIOUhLT\nGm3KwKUP/PoiGbNIWhZ2oYBnO5ixmJ8uV3bd065vQ1G5u5Mfw2og1tJEIVekaozAkAhPISwTI+b3\n8JKmgZ0vlEWyL7ncQhEJCGmAZVLM5TCtGJ7toJTGakghDMmmn3gXP/lfP01sWjRHCEFjYyONjY2s\nXr06eI0sy+L48eOBm+F80/a01hw8eJCWlpZZa5JgqpAqFosMDQ0Fgrfi2pfL5Th9+nTdFud//dd/\nzb/8y7/w9NNP3xxNcGclqnmKuA6Iok8REQtb77SQKXthhEWd5sNrGXWKhFNEPdSKPLmuy549e1i8\neDFLlizh3LlzOI7jGxXMIpwqFtBdXV0sWbJkXucmhKC5uZnm5maUUhw/fpwzZ84Qj8c5e/YsXV1d\npNPzt+ucTThNJ5lMsnz5cpYvX042m2WwoYFVa5fSufsIFw0OaNQAACAASURBVP7q7xg/eQ7XNFHK\nQ7guTsn2ezmlktj5PKZh+k52+SJQRCTjCBy8yU9NhcBMJcGQKNvBtW2MRBw3X0RIQSyTpjA6hgfE\nG9KUxnNYqQRa+X2gnPJY2nH9dEB8a3IBJBY14dpO0B8K5afzaaFJNDT4Ai5uYWVSrH77m7j3s5+g\noWNmxGc6xWKR06dPB/21rl69yuDgIMeOHatpCx9GpTdUIpGoqyZpOolEIkgHLRaLDA4Osnv3bvL5\nPCtWrKiryfB3vvMdvvzlL/P888/PKbr5wQ9+kL//+7+no6MjiIJNRmvNRz/6UZ555hlSqRR/9md/\nFphOPPfcc3z0ox/F8zw+9KEP8cgjj9R/0QtBZFUeMR9miz61vn8Tl/9y/4zl84k+tbYILl+Z+SYN\nszSPok8RNxuvRsreq2EU8WpEneZjEhERUQ9hT9Rt22bPnj309vbS1dWFUoru7m527dpFJpOhq6uL\nlpaWqvtX0uB6enrqihrUw8WLFxkbG+Mtb3kLQgiGhoaCxqoVx765mAZUhNOKFSvm1a8nk8mQyWRY\nuXIl47feysU730T/P3+PgcefwT59gdLVUbRpYCbiOIUiZiyGsh1UWagayQRaaKzGDJ7j+CK2XPPk\n5gqQjPu1VIDOFzEAlMYdyxJrzFAay+KM55AQWKIDmMmE3+xUKTzbxohZmPE4QggKV8spglKAlGit\nMFIp3HwBM2HQsmopW3/m3fy7X36g7khLqVSir6+PDRs2kMn47sUVwTvdFr65uZnOzs7QpskVTp8+\njeu63HrrrXN+XaaTSCTo7OzkwoULbNmyhWw2S19fH1LKILVvujjav38/n/jEJ3jmmWdoaJhbT8EP\nfOAD/Mqv/Ar3339/1fXPPvss/f399Pf38+KLL/Lggw/y4osv4nkeDz30EM8//zw9PT3cdttt3Hvv\nvQtyD+ZCJJ4i5oX5wF+i/v4XQ9e3vn8TuX/on7F8+b/rZuClizOW9y6DgQvVVU+YdfN8osORsIp4\nNaj13gxbF5bOZ1nVvzwX94R/1MUbqztqiebqX3Ai3Vx1+fdHf7hqd+q//pfw2kZntLp7lZudW5+B\nRdu6cEZnWqC/8V3ruBoy1kh1x3Q2x56DatfYMPfeVRERFUqlErt372bVqlW0t7cHNU7Lli1j2bJl\njI2NMTAwQH9/f2D1XOmTZNs2e/furTuaUw/nz5/n4sWLU0wIFi9ezOLFi7FtO6h1EUIEQur/sHfm\n4U2Vaf//niRt0zTpviRNoS2UllIoKYuACuoIgrzKDgVn3EFxRsVxxMFxfjOMXo44o+/oDO6jjmwi\nCooLAu7v4FJEurB0oS2lW7Y2XdKkzXp+f5RzyHKSnqQp3Z7PdXnZPGd70oac53vu+/7e/lL6mDkG\nK5xcYdLXjEYj5AV5mLVsMXQ6HSp2H0TrVz+ip0mHcJEITpqGkwKEIhEEYSJYOrsuRnqccPRY4Rr7\nowQUBOFhsNtsEAiFsFusCL8YvQqPksDc2YkwsRh2ixUCkQgADTgcoJ00nFZrb/0Tep3/KFCwGrtA\nC4UQRkXC3t0DOGmERYbDSfVGr7KunY0Fj29C6pTcgN47I5Kzs7MRzfE0zNMWvq2tjW2azNVfCwAa\nGxvR0dGB/Pz8kNQY2Ww2lJaWIjc3F7GxsUhISEB6ejqbgsm4KzJ2+T09PdiwYQP27t2L1NTAH1rN\nmzcPdXV1PrcfPHgQt912GyiKwuzZs9He3g61Wo26ujpkZWVh3LjeB4Fr167FwYMHL6t4oolhBGEo\noUgVcAqomBgKHR3eH1RxBHdPKBJ9IgxVQlnv5AvFTDnneORNEwf82ic+5Y46Gc/qB/zahVdmcI7n\nhx/mPoAIJ4IP+CxGu7u7UVxcjJycHHbR61njxDScdTqdMBgMbJ+kuLg4tLa2Ijs7m7PAPxgaGhqg\n1+uhUqk43dvCw8NZ97Wenh5oNBqcPHkSERERkMvlSEpKcjuOEU7jxo0L2Rybm5uh1WrZOSYmJmLi\nkxNh+K0BFyqqUP7vd2E+WwtarQdFAfYeC8KiIuGw2kAJBb31TQIKYVGS3p5LPRZYOowQRUlgNZkA\nAM6LTWtpJw2hSAS7pTeqZLNYIAwLgyAiHEKRCDRFgXY6YTWbAScN2mZDmCwKdoeTTQkMi5ZCocrD\nrDvWYPLi64MSKXa7nf09xsfH97m/QCBgmya79tcyGo1ITExESkoKuru7WZEcihojxqkvMzOTdepj\ncE3BNJvNOHfuHO6++24YjUbceuutQQknPjQ1NWHMmDHs67S0NDQ1NXGOFxUVDcgcfELTcNr6dt4c\nbhDxdJkQ3PSq3+hT1P9M4Iw+KWbIOaNPocSXgCLCijAUEQfX9zIkCOYt4hw/3nEN57i/qFOoiC3g\nFoBz/ieHc9yXcCIQBgKTyYSSkhLk5eUhJiaGbYrryxxCIBCwjWVNJhMrWmpra2EymSCXy4NufgsA\n9fX1MBgMUKlUvBbTYrHYrSZJo9Hg/PnzkMlkkMvlkEqlrO11KIWTWq32Enfs7+bqRKjmzEJLSwua\nm5pQ//kxdJ04C2P1BVjbO2Az9yA8Rgra2StunDY77DY7wiLFsPb0CiPqYi8umqJgt9p6U/4uPmEV\nhoXBabcDoCAUX7KdF4SHQSDqbbwbJpMiUhaFifNmY8ZtqxGdmQaNRgO9Xo+yi3bjiYmJvK3FXV3w\ngoncefbXam1tRVVVFTo6OpCWlobu7m42BTBYaJrG6dOn2d5h/pBIJJg4cSLkcjk2btyIrq4uLFy4\nELt27cKECaEz8BkOkLQ9Qr8ItYAKVfSJQBgJxMQElrLnK+p0ORjMqJMvSNSJEGqMRiPKysqQn58P\nqVTap3ByxWw249SpU5gyZQpiY2Pd7L2DaX4L9Na9MOlbwUQhpFIpsrKyMH78eHR2dqKpqQmlpaWI\nj4+HSCRi31t/UKvVnMLJE6FQyKYTTp4yBXq9HhqNBg6HAxFmKzp/PoOWUxUw1DagXatHpMMBu7kb\n4RFhcNodoASCXnFF93qK0wIKQnE4KIqCUCSC026HUByOsCgJYuLiIEmMgyw1CePmzUbKnOlo1Kq9\n3AnHjx+PcePGsSKztrYWMpkMKSkpSEhI8Pk7Z6znk5KSQlLPJhQKIRaLYbfbMWfOHHR2dqKmpgbd\n3d1ISkoKyhSEpmlUVlZCKpUiLS2tz/0dDgc2btyIJUuW4MEHHwQA/OEPfwjq/fQFY7zC0NjYCKVS\nCZvNxjl+OaFpwBki8URR1CIALwAQAvg3TdPbPLb/EsDv0etlYgRwH03TpSG5uAdEPI0yAk3fI9En\nwmjDV8peoFGny0Gook5EOBFCjd1uR1lZGVQqFSQSSUDCyWQyoaysDHl5eWzdi6e9t1qt5t38FgDO\nnz8Po9GIKVOm9Dt9i6IoREZGwmg0YurUqaAoCk1NTSgvL0diYiIUCkVQUQ61Wo3m5uY+hZMnYWFh\nXj2krFERSJs3DclWK/t7o2kanY0a6Ctr0NPRCVtPD+zmbli7e0CJhIiKj4MkIR5RKQmITpVDmuid\nOtfW1oaqqiqftu6etvCdnZ3QaDSorq7mdMmjaRrl5eWQyWRuKWb9wWw248yZM5g6dSokEgn7GbHb\n7dDr9aiqqoLVamXtxiUSSZ/nrKurg9PpZOuH/EHTNP785z9DqVRi06ZNoXhLflmyZAm2b9+OtWvX\noqioCDExMVAoFEhKSsK5c+dw/vx5KJVK7N27F3v27Bnw+XgSiponiqKEAF4EsABAI4CfKIr6iKbp\nsy67nQdwDU3TbRRF3QjgNQCz+n1xDoh4uswMdvSJQBhKBGoIMZzwlbIXqqgTSdcjDAW4hFBrayss\nFgvmzJnjJpz4iBaj0YjTp09jypQpPgVIZGQk2/zWaDSyzW+ZRaOr8xpN06itrUV3dzcmT54ckroX\nxjUwKysLCQkJAICEhAQ4HA60tLSgpqYGPT09SE5OhlwuR2RkZJ/n1Gg0aGpqClg4ecKITKVSiZMn\nTyIqKgpqtRotLS290brUZMSMCS6609nZicrKSqhUKl5W2xRFsbVsNE279ddiXPK0Wi1EIpHfZseB\nYLFYWOHtKYpEIhFrCmKz2aDX61FRUQG73c4KKa6/VXNzM9rb21mh3BevvvoqmpqasGfPnpAYVKxb\ntw7ffPMNWlpakJaWhr/85S+w2WwAgI0bN2Lx4sU4dOgQsrKyIJFI8NZbb7Hvd/v27Vi4cCEcDgfu\nuusu5OXl9Xs+AUHToUrbuwJANU3TtQBAUdReAEsBsOKJpunvXfb/EUDfIcIgGQFLlOGH4KZX4fzq\nIZ/bo1bno+dwhdd42nVjof1J7TU+NhvQ1HmHk5KSKLS1eX9opSLf6XukoS5hKOBrfSPxsQaJi/OR\nsjeO+4Ck2dyFuxEL/bgQhXHXWdgD/MchjOBeGAkl3E5elID7vQnEgX19233cwKbJvgHA8d7ENwV0\nfgIBAHQ6HWpqahAdHY2wsLCAhFNHRwfOnj2L/Px8XmlVrk1VGQtrxnktMTERcrkcGo0GVqsVeXl5\nIVnIWiwWlJSUuAknBtdUOpvNBp1Oh7Nnz8LpdEIulyMlJYVTdGi1WjQ0NKCgoCCgNERfMPVDycnJ\nbCNhk8kEjUaDn376iXe0zpWuri6cOXMGKpUqIPt2Bs/+Wm1tbaisrER3dzeUSiWMRiNkMlm//kaM\nC54vpz5XPKN1rn8rxm5cLBajpaUFTU1NvJvgHjx4EJ988gkOHTrULxHsyjvvcPfdY6AoCi+++CLn\ntsWLF2Px4sUhmUdQ0IDTxvsemUhR1AmX16/RNP3axZ+VABpctjXCf1TpbgCf8Z5ngBDxNEgIfvG8\nXwFFIBCGDoI5N3COf6+7gnN8/3d1nOPFX9RwjhsrWznHfQmn6Cncxcqzrh/POb5yNndTyF7hxAER\nToQgUKvVqK+vx/Tp03Hq1ClYrVaIxWJei05mMa1SqXhFajxxtbB2OBzQ6/UoLS2F3W5Heno6LBZL\nUIt+VywWC4qLi5Gdnd2nG1xYWBiUSiWUSiUsFoubhTWTUiUSiaDT6VBfXx9S4XT69GnExsaywgkA\noqKi2Jok12hddHQ021/Ll3Bh6s/y8/OD+tt4IhAIYDabERkZiRkzZsBgMODChQswmUys6A007ZFx\nwcvIyODl1OeKq7uixWJhbertdjusViumTZvGSwj98MMPeO6553D06NGAP2t9NbP9+9//jt27dwPo\nTYktLy+HXq9HfHw8MjIyIJPJIBQKIRKJcOLECa5LDAo0AjKMaKFpekZ/r0lR1HXoFU9X9/dcviDi\naYgiXjSRM/qUMlPBGX2SZ0RwRp/i4rijT75qn8LDSfSJQBgKEOFEGE40NjZCrVZj+vTpEAqFiI2N\nZaMfCoXC76K7tbUV1dXVQUc1PBEIBGhvb0diYiLGjRsHnU6HM2fOgKZpNgLkr2cTF4EIJ08iIiIw\nduxYjB07FmazGRqNBidOnIBQKITNZsP06dNDIpxomsbZs2chlUqRkZHBuY9ntI5JpauqqkJcXBzk\ncjliYmJYIdXd3Y3S0lJMnjw5YJMFX6jVatYqXiAQIDk5GcnJyazoZdIeGXOHvmqSGMMJPi54fRER\nEYExY8YgISEBxcXFSE1NRXl5ud8GuABQWVmJ3/72t/j4448D/nzwaWa7efNmbN68GQDw8ccf4x//\n+Ifbdb7++uuQuT2GlND1eWoC4FoUl3ZxzA2KovIB/BvAjTRNcz+VDAFEPA0ifUWfBktAEQiXA18P\no32l0g9Wyt5gRZ0IhOEARVGoq6tDa2srm9rERHvS0tKg0+lQXl4Oh8MBuVwOuVzuJlz0ej3Onz+P\ngoICXnU0fcEYEIhEIkyYMAEURXH2bBKLxbzttPsjnDyRSCQYN24cpFIpampqEB8fj5MnT3KaKQQC\n877FYjEvUwPAO5XOYDCgsbGRNb5ISEhAVVUVcnNzIZNxNw0PFL1ej8bGRs6+S4yLolwu96pJYtIh\nPcU1875jYmJ4ueDxwWq1si6RzPv2bIDL9PsKCwuDRqPBnXfeiR07diA9nfthlT+OHz8eUDPbd955\nB+vWrQv+DV5W6FC57f0EYAJFUZnoFU1rAdziugNFUWMBHABwK03T3MXFIYKIp0EmWAE1kJDoE4EQ\nWki6HmGkYjKZ0NnZiYKCAlAUBbvdzjrqiUQitq6kp6cHWq0WxcXFCA8Ph0KhgMPhQFNTk0/ntkBh\nIi8REREYP368lwjx7NmkVqtRW1uL6OhoKBQKTuHS09ODkpIS5OTkIC4urt9zBHoFRF1dHWbMmIGw\nsDC2XosxU0hISIBcLuddA8TYaItEIowfz/1d0Beu/bUcDgc0Gg1KS0sRHh4Og8GA8PBwXq50/jAY\nDKitrcW0adP6jLRx1SQx0UNGSIWHh6O6uhoikchnpC1QmEa9EyZMcBOMng1wtVot/vOf/+C9995D\nV1cXtm7dCpVKFdQ1A2lmazabcfjwYWzfvp0doygK8+fPh1AoxL333ot77rknqHkMBDRCs26kadpO\nUdT9AI6g16r8TZqmz1AUtfHi9lcA/AlAAoCXLv67sYciDZALIp6GAMHUPw1W+h6BMJwZrKjTQEKE\nE2EwiYqKQn5+PhwOBxwOh08rcrFYjPT0dKSnp6Orqwvnzp1DW1sbkpOTYTQag464MDidTpw5c4aN\n7PR1LqlUigkTJiArKwvt7e1Qq9VewoUxhwilcGppaWEjbYxgdK3XcjqdaG1tRV1dHcxmc599iWia\nRlVV70N2JtLWX2iaRnNzMyZPnoy4uDjodDpUVFTA4XCwrnSBpld2dnb6tTj3h2tNUk9PD3Q6HUpL\nS2G1WiESiVjh3l8Yow0mbc8XEokEmZmZuOOOO3DkyBEkJyfjySefxO7du7Fnz56QPAjwxccff4yr\nrrrKLQJ67NgxKJVK6HQ6LFiwABMnTsS8efMGbA4BQYfuoTtN04cAHPIYe8Xl5/UA1ofmav4h4mkY\nEGj63phcKRrKu7z3T6Gg1fYvfEqiT4TBIFQpewPJYJlEBAIRToSBwOFwwOl08urhBPSaQ9A0jXnz\n5rF9gCorK4PukcSYJMhksoAtrz1T11paWlBXVweTyQSr1RpS4dTa2ora2lqoVCqfC2yBQICkpCQk\nJSW59SWy2WxISUmBXC5HRMQld8yamho4HA7k5uaGREA4HA6UlJRg7NixSEpKAgCvHlKnT58GRVFs\nBKgvsWAymVinPte5B4NYLMbYsWMRFhaGxsZGJCYmoqSkBGFhYWwqXTD1Y0zUMiEhgVejXqfTiU2b\nNuGqq65im9/W1NQEJZx8NbnlYu/evV4pe8y+ycnJWL58OY4fPz5kxBMNwO4Y7FmEHoqmSS+gGTNm\n0EPBncT5f4/43W75vJxzvPVnLee4tsZbQHFFnwCgy3tXAIDVxj3OJaCIqCJw4au2iWs83Md9x9da\nKimRe7GQOJ47Pz+BI/IUMX8y577UdO7mtyfbruQcP1zazDl+4sd6znHD+Xbvawq530/SeO46i1mz\nuZtKLs7njrDlRn7lPTiEhBNFUT8PVJrFCGBI3qyPHj2Kw4cPY926dZg0aVKfC/i6ujq0t7cjPz/f\nreaF6ZGkVqthtVp91rh4wpgFxMbGBlVvwkVPTw+Ki4uRlJSEzs5Otl7Ll9U4HxhTjGBruxjhotVq\nQVEU5HI5zGYzrFYrr987H5xOJ0pKSiCXy5Gayv0dwsDUj+l0Or/Cpbu7GyUlJX77dgUKk/bo6oLH\nWLHr9XpIJBKkpKTwqmdjOHfuHJxOJ3JyuPvkuULTNJ5++mm0tLTgpZde6nfvMLvdjuzsbHz55ZdQ\nKpWYOXMm9uzZ49WTqaOjA5mZmWhoaGAjkSaTCU6nEzKZDCaTCQsWLMCf/vQnLFrE3dR9gPD54Zsk\nFtM70zN4nWRGVeWw+f4nkachhGDes34FVMSCXJ8Cii++0vekUt8Cii8kKkXwJBDhFCoCEU6hIhTC\nyRcDKpwIhH4yd+5ctLW14YknnoBWq8WKFSuwZs0ayOXuTZyZZrUmk8lLOAHePZKYCIdAIGBd1DwX\n5g6HA2VlZUhISHCz5e4PjLtcbm4uYmNjAfQaRmg0GrcIR3JyMu+FucFg6JdwAi41vx0zZgy6u7tR\nXl6Ojo4ONq0uEKHABSNCk5KS+hROgHv9GCNcTpw44dZDium7NGnSpJAJp/b2dtTW1qKgoMDt/bpa\nsXd1dUGj0aC2thYymQwpKSlISEjwKXLq6+vR09ODyZO5H6R5smPHDpw6dQr79+8PSdNlX81sX3ml\nNyNt48aNAIAPPvgAN9xwg1sKp1arxfLlywH0irBbbrnlcgsnv4Sq5mmoQSJPGDqRJ4ZgIlCBRJ8A\n7ghUKKJP/sYJo49AxVMgkadQRJ0A7sjTQEadfAmnUESdAhZOQyjqBJDIUx8M+Zu1Xq/H3r17sXfv\nXkilUqxZswY333wzJBIJjhw5grFjxwYcJenu7oZarYZOp0NUVBTkcjkSEhJA0zRKS0uRnJwcMpc1\nRjhNnDiRFU6euEY4pFIp2yPJ1yLaYDDg3LlzIUlZY6ivr0dbWxumTJnCWp/r9XrIZDLW+CKQRT1N\n02zaY3+MF2iaZntItbS0wGq1IiMjA+np6SGJjHV1deHUqVMoKCjgVXNF0zSbFmowGDgdDbVarU/3\nPy6OHj2K5557DkeOHOm3gcYIwucfNzdCTP8nLYPXSWbXDp/IExFPGHriCfAvoIZK+h4RT4S+GCop\ne4EIJ4BbPA3XdL3hIpwAIp76YNjcrBkTg127duHgwYMIDw+HUqnEjh07gi6md10It7a2wm63IzU1\nldNVLxhcI04xMTG856NWq9HW1oa4uDgoFApER0ez82Ea/xYUFIRMODU2NkKv12Pq1Klui32aptHR\n0QGNRsPOx7Nnk6/3UV5ejvDwcGRlZYVkjg6HAydPnkRCQgIsFgva29t5z8cXTPpffn5+UP2mGEdD\nrVbLzicqKgrNzc28+2ydPHkSDzzwAGsSQWDxK57eTM3gdZIr64aPeBrA5BlCfxDMe9bntogFuZzj\nCdNTeJ/fV6F9IJH1wUjJIhD84SvqFAi+ok6BMFTS9YaTcCKMHCiKQk5ODrZu3Yrp06cjOzsbcrkc\nV199NR577DGUlZUh0Ae3FEUhJiYG48ePZ1Pnuru7UVRUhNraWpjN5qDnG6hwcp3PxIkTMWvWLCQm\nJqKhoQFFRUWoqalhTTBCGXFqbm6GTqfjTHukKAqxsbFu82lsbMSPP/6I6upqdHE8GWVErlAoDNri\n3BOn04nS0lIolUqMGzcOubm5XvM5d+4cjEYj78+A1Wpl0/+CbdTLOBoy85FKpaiurobD4UBtbS06\nOzv9zqeurg6//vWvsW/fvqCE0+HDh5GTk4OsrCxs27bNa/s333yDmJgYqFQqqFQqPPHEE7yPHcrQ\nNGC38/tvOEFqnoYw/mqgfNU/JUxP8YpApYyXckaffNU/cREexh19InVOhEAJhbj2FXXiItCoExeB\nRp24CDRdj4tA65w4IcKJcJm4cOECcnNzsXnzZlAUBYvFgk8++QR/+9vfUF9fj2XLlqGwsBCpqam8\nohE2mw0lJSUYM2YMW1PFONIxVtqBGjsEI5w88eyRVFdXh7Nnz0IikUCr1Xo55AWDWq2GWq2GSqXq\ns7bJcz4tLS2orq6GxWJh68oiIyNRW1sbUqc+Jv0vMTHRrW6Kaz61tbXo7u5GcnIy5HK5zxQ4175L\nwf59PLFarWhoaMAVV1yByMhI1mHRbDYjMTERcrncrUartbUVv/rVr/D6669jwoQJAV/P4XDgN7/5\nDT7//HOkpaVh5syZWLJkiVcT3Llz5+KTTz4J6tihykiteSLiaRgTcX0OLF9W8tpXMTEa6opOr/GU\nZApanbuA8mUeIYkEzN385kZEFSEUIimQSOhQjzpxXi/AdD0uhquzHmHkM27cODz66KPs64iICKxc\nuRIrV66EwWDAu+++i7vvvhsikQhr1qzBsmXLEB0dzXkuRjilp6e7PfkXiURQKBRQKBRuxg5MI15/\nRgpms5mNaIRqYd7V1QW9Xo8rr7wSAoEAWq0WZWVlEAqFPo0v+kKr1aKpqYmXcPLE04hDp9Ph7Nmz\n6O7uRlhYGFQqVciEU3l5OaKiovyad7jOx263Q6fTobKykrVid3VY5Nt3KRAYE4vc3Fw2ipWcnIzk\n5GQ4HA7o9XpWaDY0NCAzMxN/+MMfsHXrVsyaNSuoax4/fhxZWVkYN24cAGDt2rU4ePAgLwHUn2OH\nBCHs8zSUIOJpiCOY9yyc3zzsc3vE9Tmw/t85t7HE2QoYOOqfFBOj0VrjLaCEHAu4mBjAZPKOSnEt\niAUC7pArEVAELrg+Q2IfD2XDwrw/m4k+7qHCCO5FBVffpLBrckA7vD+0lNU79aeBXoAkjoeixy4Y\nkZnqvtArqdJjwmTv9Fldcydi4vn1npIruRdxMyZ5p4pcqRQB6PEaV9i/BDybXEev5nV9AuFyEB8f\nj/vuuw8bN25ETU0Ndu/ejRtvvBETJkzA2rVrcf3117P1UVarFSUlJcjMzGR7D3ERERHh1oiXcVyL\njo5mjRQYocAIp7y8PJ+CLVA6OjpQXl6OqVOnsgKAcchjjB0YRzqFQuHXAY5Br9ejvr4eKpUqqP5F\nroSFhUGpVMLpdEKn0yEhIQGlpaX97pEEANXV1RAIBOwinw8ikchnD6nk5GS0trayvb9CgcPhQGlp\nKcaNG8dpCMIIXLlcDpvNhoqKCmzYsAE2mw3V1dVobGwMypykqakJY8ZcyhpIS0tDUVGR137ff/89\n8vPzoVQq8eyzzyIvL4/3sUOZkeitQKpThgGCa//X7/bwed5h5Hgf9U8J471vEr4Wo1FRHF3ifSxy\n+/mdThglXO7PSdx0ed87XUSgmsN732MXjLz31TV7P7DwReDCyRuF/Uve1yMQBhuKopCVlYU///nP\n+Pnnn/Hwww/jyy+/xFVXXYXNmzfj6NGjWL16NdLTOPBoEgAAIABJREFU0/0KJ0+kUimysrIwe/Zs\npKamQqPRsPU2er0+5MKps7OTFU6Rkd4PSiQSCcaNG4dZs2YhIyMDBoMBRUVFKC8vZ5sGe9LS0oLz\n58/7baobKM3NzdDr9SgoKEBGRgauuOIKZGdnw2w248SJEzh16hT0ej2cATz5PH/+PCwWC3JycoKO\nYjFW7DNmzMCkSZOgVqvR2dmJ1tZWqNVq2PtZFMOkFDIisS+EQiHKysqwcuVK/Pjjj4iKisL+/fv7\nNQd/TJs2DfX19SgrK8MDDzyAZcuWDdi1LidM2h6f/4YTZMk7TBBc+79+I1Dh8yZ4RaDip6dwRqC4\nSEwAWlr5zUUcAfRY+O1Lok+EYJHJAqhryua2FeYi7Jq+myAyNNALeO9bUqXnvW8gcAknX/gUTiTq\nRBgGCAQCzJ49G7Nnz4bVasXu3buxfv165Obm4u2338batWsxZsyYgBboFEUhLi4OcXFxcDqdaGxs\nxKlTpyAWi2EwGBAeHs7L9tofnZ2dOHv2rE/h5Dmf6OhoREdHg6ZpGAwGNDc3o6Kigo2ySKVSGAwG\n1NTUoKCgIGTCSavVorm52cuW27VHktFohFqtRnV1NWJiYqBQKBAbG+vzd97Y2IjOzk5MmTIlJOl/\nQG99l1QqxcyZM70idkwPqUCt2CsqKiCVSnlFjmiaxj//+U+YTCa8+OKLEAgEuPfee4N+P0qlEg0N\nDezrxsZGKJVKt31cRfzixYvx61//Gi0tLbyOHdLQw88Mgg9EPA0j+hJQXHAJqITx3Ol7XAIqKori\nTN/jElAi0cj8R0IInEDqnXxFM7nwFSXl4nJGnXwJp/5GnXwJJ66oExFOhJGEzWbD9u3b8cEHH2DK\nlCl47733cN9994GmaaxevRrLly/32YvJF93d3WhqasLMmTMhFovd0sQUCkVQ9UhGoxFnzpzhJZw8\noSgKCQkJSEhIcDN2MJvNsNvtUKlUQTfV9aSlpQUXLlzwai7rOR9XYdfW1ga1Wo2KigokJCSwwo4R\nSRqNBlqtFiqVKiTNYgGgoaEBRqMR+fn5oCiKs/ltTU0NoqOj2Z5NfV27rq4ONE3zTinct28fvv32\nW3z88ccheV8zZ87EuXPncP78eSiVSuzduxd79uxx20ej0SAlJQUUReH48eNwOp1ISEhAbGxsn8cO\nZYhhBGFI4E9AcUWfgMAEFBe+BBQXXAKKRJ8IgTJUo06XO12PCyKcCKOBqKgofPLJJ2y9y4YNG7B+\n/XpcuHABu3fvxs0334yMjAwUFhbihhtu6FNkmEwmlJWVYfLkyZDJes1l0tLSkJaWhu7u7qDqkYxG\nI06fPo2pU6f2u2EqY6QgFotx9uxZjBkzBlVVVaAoijVSCDYCFUwUi7H2jo+Ph9PpZFMIzWYzkpOT\nER4eDrVa7VeMBYpWq4VOp+M0saAoCjKZDDKZDFlZWWxPq6qqKr89pJqbm9HR0cGKsb749ttv8eqr\nr+LIkSMhE64ikQjbt2/HwoUL4XA4cNdddyEvLw+vvPIKAGDjxo14//338fLLL0MkEiEyMhJ79+4F\nRVE+jx02jFDDCNIkF0OzSW5f+ItAcQko2kmjrVjnNc4loHyl73EJKK70PV/Rp5H4D4jADdeaw9cD\nXa7IE5d48hV14hJPvqJOXOKJK+rkK11vIKJO/a1zGknCiTTJ9Qu5WbvgdDpx8uRJ7Ny5k62RWrdu\nHWbMmOEleriEExc0TbNpawaDgbPxLUNXVxdOnToVdNNWLrjS/3p6etgIj1gsZtPW+AoWxsQiVI16\n7XY76urqUF9fj6ioKCgUCqSkpPT73K2traipqcG0adMCiv45nU60tbVBo9Ggs7PTzWqcsSCfNm0a\nr9/XmTNnsH79ehw6dGh4pcYNPj5VaZZQTP9vZDqvkyw1VQ2b738injA8xRMAOA//2uc2C4ddcnsp\n9yKv/XyH1xiXgDIauT8rfAWUL/FERNXwJZBGyeEcDzx9lRpwiyfvsbgs7qhT9FRv4RE+y/sLnJo6\njfP47rjpXmPVHd4pH+cMJs7j9W3env4CH089k+K8U30mJngvxjKjudsSROh+8hqjFPdw7jvUIeLJ\nL+Rm7QObzYbPP/8cO3bsQEVFBW6++WYUFhYiMzMT5eXl0Ov1mD59ulvvnr5gFuVqtRpdXV1ISkqC\nQqGARCIZEOHEJ4rV1dUFtVqNlpYWTgdBrnMGm1LoC0bgMal6Wq0WGo2GdapLSkoKOELGnLO/As/h\ncKC1tRUajQZGo5FNfeRjQ9/U1ISVK1finXfeCSqyc/jwYWzatAkOhwPr16/Hli1b3Lbv3r0bzzzz\nDGiahkwmw8svv4ypU6cCADIyMiCTySAUCiESiTAM16O+xZNATD8r5ieelncT8TSsGK7iCRgaAsqX\neQRfAUXE0/DFl3U9F3zFk6+UPb7iiUs4AfzFE1/hBHCLJyKcgoeIJ7+QmzUPOjs7sX//fuzevRsd\nHR3Q6XR48803MWcO/7pGTxwOB3Q6HdRqNaxWKywWC/Lz8xEXFxeSOTORMb5ijKZptLe3Q61Wo6Oj\nAwkJCZDL5ZDJZKyQCvScgcyTS+AxqY86nS6gCBlzTpVKFTKBZzKZUFpaCqVSCYPBwNlDypX29nYs\nWbIEzz33HK65JvBefw6HA9nZ2W6NbN955x23Xkzff/89cnNzERcXh88++wxbt25lLcczMjJw4sQJ\nJCYmBv+mBxef4mm8QEw/E8ZPPK22+hdPFEUtAvACACGAf9M0vc1jO3Vx+2IAZgB30DR9ktfFA4TU\nPA1zBIte8imgImaP9RJQsVOTOAVUbGaMl4DiMpCQySgvAdVf9z1SEzXy4RJOgRBI1Inz+gFEnfjC\nVzj5gggnAiH0REdH484778QVV1yBNWvWYNWqVdiyZQsUCgXWrl2LRYsWBeyuJxQK2fS9kpISpKam\n4ty5cwgLC4NCoUBSUlLQdT9msxllZWWYMmUKb5Hj6SDIpKcx9UhxcXGoqKgI6Jx90dPTw6Y+ckXG\nIiMjkZmZiczMTBiNRrceW3K5HPHx8V4Rsp6eHpw6dQqTJ08OmXCyWCw4deoUpkyZAplMhvT0dFit\nVuh0Opw+fRoA2GbF4eHhsFgs+NWvfoXNmzcHJZwAfo1sr7zySvbn2bNno7GxsR/vchgRoponiqKE\nAF4EsABAI4CfKIr6iKbpsy673QhgwsX/ZgF4+eL/Qw4RTyOAUAkoLvojoAJx3yMCavTRT3dgTvim\n6/miv+l6XHBFnYhwIhAGln379uH9999Hbm4uaJpGaWkpdu7ciaeffhqzZs1CYWEh5syZw9tNzTXq\nwqT/mUwmqNVqnD9/nlcanSfd3d2sIAkkpdAVgUCA5ORkJCcnw263o6mpCcXFxZBIJGhra0N4eHi/\njQ+YJsW5ubl+a8YYPI0d1Go1qqqqEB8fD7lcjujoaNjtdpSWliInJ4fXOfnAnDM7O9vtnOHh4aw5\nSE9PD7RaLY4cOYLnn38eUVFRmD9/PtasWRP0dQNtZPvGG2/gxhtvZF9TFIX58+dDKBTi3nvvxT33\njJzv8hC67V0BoJqm6VoAoChqL4ClAFzF01IAO+jelLofKYqKpShKQdO0OiQzcIGIpxFCKAQUV/QJ\nCL2AIkJpZBAiZ1o3+lvrxJf+putxwTddjwgnAmHg+ctf/sL+TFEUVCoVVCoV7HY7vvrqK+zYsQO/\n+93vsHjxYqxduxYTJkzwKXqY6JCnyImKikJWVhbGjx/PioTKykrW1tufKOjp6UFpaSlvQcIHp9MJ\njUaDgoICSCQSaDQalJSU9CtCZrPZUFJSggkTJgRsDU9RFGJjYxEbGwun0wmDwcBakdvtdmRkZIQs\n9dHpdKKsrAxjx45FfHy8z/3EYjHS09MxduxYfPvttzh16hQOHDiAkpISPP/880hNTQ3JfHzx9ddf\n44033sCxY8fYsWPHjkGpVEKn02HBggWYOHEi5s2bN6DzuFych+XIOmcV33xEMUVRrjU0r9E0/drF\nn5UAGly2NcI7qsS1jxIAEU8E3wykgOJLfwQUEVXDH75GEQNBf00i+NKfOie+wskXRDgRCP1DJBLh\nhhtuwA033ICuri588MEH2LJlCzo6OrBq1SqsWrUKSUlJ7P5msxmlpaV+nfo8RUJLSwtqa2vR09OD\nlJQUyOVyt1RBi8WCkpISTJw4kZeZAR8YkZOVlcUKkvT0dKSnp7MRsrq6OkilUjaNrq+om8PhQGlp\nKdLT05GQEECTPQ4EAgESExMRHx+PkpISxMbGorW1FWq1GsnJyV6/o0CgaRpnz55la7/48Prrr0Ov\n1+Obb76BQCBAWVlZ0EKObyPbsrIyrF+/Hp999pnb75PZNzk5GcuXL8fx48dHjHiiaXrRYM9hIBiA\nZ8eEwUSw6CWf2yJmj/Uai52a5D2W6f1lzmUTHUgvHr5wOZQORISDMLjwNYrgijoNBP1J1+uPcPIF\nV9SJCCcCIbRIpVLceuutOHz4MA4cOAAAKCwsxKpVq7B//36UlZXhj3/8I/Ly8nhHh5g0uqlTp7K2\n26dPn8bPP/+MpqYmmM1mlJSUIDs7O+BIji/sdjtKSkqQkZHBKXKYCNmsWbOQlpaGlpYWFBUVoaKi\nAh0dHeAyDmMiOYwVeShgRE58fDxyc3OhUqlQUFAAkUiEM2fO4MSJE2hsbITNZgvovNXV1QgPD0d6\nOr8U7Y8++ggffvghdu7cCaFQCIqi+uVI6NoE12q1Yu/evViyZInbPvX19VixYgV27tyJ7Oxsdtxk\nMsFoNLI/Hz16FJMnTw5qHiOcJgBjXF6nXRwLdJ+QQNz2MLzd9nzhePd2n9ssHP2eOioNXmOdF7z7\n1BjavD8vnA58Pd7XtXJ8H/J13yMRqcGFr6se38gTlxNvVJS34EhI9D5hdHq011hMjneaRsR07xs+\nlevd54kak+01ZhZP8Bprs3jfmLts/MNqsnBvV5X4iPNeY2JTtdcYfcFbTFFT/sj72sMF4rbnF3Kz\nvgzQNI0zZ85g+/bt2LdvHxYuXIjbb78dV111Vb+awXZ3d6OpqQn19fWQyWSs0OFbc+ULh8PBmlgw\nDYX5wKTRqdVqmEwmJCUlQS6XIyoqCjRN4/Tp04iOjuYtSPhQVVUFAG7iwRWmp5VOp+OdalhfX4+O\njg5MnjyZV63Zjz/+iEcffRRHjx71m94XKIcOHcJDDz3ENrJ9/PHH3Zrgrl+/Hvv372d/n4wleW1t\nLZYvXw6gVwTfcsstePzxx0M2r8vEgD/lpChKBKAKwPXoFUQ/AbiFpukzLvv8D4D70eu2NwvAP2ma\nvmJA5kPE08gUTwARUITQMFjCCRg54okIJ34Q8eSXIXGzfu+997B161aUl5fj+PHjmDGD+8/lq++N\nwWBAYWEh6urqkJGRgX379oWs7iVUNDY2YsmSJXjppZdgNpuxY8cO/Pzzz1i0aBEKCwuRm5vL2xSC\nwWazobi4GBkZGYiMjIRarUZraytiY2OhUCgQExMT8DmdTidKS0uRlJSEtLS0gI51hbFi12g0bNQn\nOjoaEydODPqcntTV1aGrqwt5eXm83qfJZIJGo4Fer0dUVBTkcrmX2NRoNGhubmZ7TvVFZWUlbrvt\nNnz88cfIyMjoz9shuHNZUkQoiloM4Hn0WpW/SdP0UxRFbQQAmqZfuWhVvh3AIvRald9J0/SALO6J\neMLIFU8AEVCE/kOiTkQ4XS6IePLLkLhZl5eXQyAQ4N5778Wzzz7LKZ789b159NFHER8fjy1btmDb\ntm1oa2vDM888MwjvxDdGoxE1NTVQqVTsWHd3Nz788EPs2rULLS0tWLFiBVavXs2rxsZut6O4uBjp\n6elITr5Um0nTNBv9YRrxMtGfvqBpGqdOnUJMTExIo0OVlZXo7Oy95zONb5OTkyHiyqnnSXNzM7Ra\nLaZOnRpwpI2maXR2dkKj0cBgMCA2NhZyuRxOpxM1NTVsamRfaLVaLF++HG+++SamTQus7rWvBrg0\nTWPTpk04dOgQJBIJ/vOf/7DX6OvYEcLlya8fQhDxhJEtnoDhIaCIeBq6DBXxNJqE02gTTQxEPPll\nSN2sr732Wp/i6YcffsDWrVtx5MgRAMDTTz8NAHjssceQk5ODb775BgqFAmq1Gtdeey0qK7mdJYcq\nOp0O77zzDt59913IZDIUFhbi5ptv5hQ9DocDxcXFSEtL8yu0XKM/drudNZrgshlnaociIyPZ3kKh\noK6uDkajkU2BM5vNbBqdRCKBQqEIONVQr9ejrq4O06ZN61faI3BJbDY0NKC1tRVKpRJKpbLPerSu\nri4sXboUW7duxcKFCwO6Jp8GuIcOHcK//vUvHDp0CEVFRdi0aROKiop4HTtCGHXiiZTijwKEhW/7\n3BZR4O1QxrUg5Vq4xsd5/3vhKvrnY6DTnwU6YWgS6qhTKCHCiUAYOLj63jQ19dZta7VatjZHLpdD\nq9UOyhz7Q3JyMjZt2oTvvvsOL7zwAmpqanD99ddjw4YN+Oqrr2C/aC/b09PD1iP1FaFiGvEWFBRg\n6tSpAICSkhIUFxdDo9HA4XAA6BUQlZWVCA8PR2ZmZsjeU2NjI9ra2tzS6iQSCcaNG4dZs2YhIyMD\nBoMBRUVFKC8vR1tbG6fRhCttbW2ora2FSqXqt3ACel0NJRIJuru7ccUVVyA+Ph61tbUoKirC+fPn\n0d3tbd5js9lw++2345577glYOAHuDXDDw8PZBriuHDx4ELfddhsoisLs2bPR3t4OtVrN61jC8IRY\nlY8SGAHFFYWKKEj2ikDF5MR7RaCi06O9IlDxcZRXBIqrB5Qn4WHe0Se+9uXE0nxwGQxRG+qoEx+I\ncCKMVubPnw+NRuM1/tRTT2Hp0qUhuw5FUQHX+QwlKIrCxIkT8dRTT+HJJ5/Ef//7X+zevRuPPfYY\nrrvuOhQVFeHhhx/G9Onebp7+CA8Px9ixYzF27Fi29oexGadpGkKhEDk5OSH73Wm1Wmi1Wp+1QxRF\nITo6GtHR0Wz0p7m5GRUVFUhMTIRCofBq8ms0GlFZWQmVSoWwsND0q7DZbCgrK8OkSZPYRrzJycmw\n2WzQ6/UoLy+Hw+FASkoK4uPjIZFI8NBDD+HKK6/EHXfcEdQ1+TTA9fWwINDmuYThAxFPowxh4ds+\nBZRDa4K9+ZIVs0wphbGpy20/qVKKLo8xLgEVE0Oho+PSmFjsnb4Xyqa6RFANDAMtikIZdQp1up4n\nRDgRRgtffPFFv4731/cmJSUFarWaTdtzrQEazggEAlxzzTW45pprYDQaMX/+fFAUhWeffRY1NTVY\ns2YNFApFwIInKioK48ePx7hx49iIj0AgwLlz51jR0h8R1dLSggsXLvBOq6MoCgkJCUhISIDD4UBL\nSwuqq6thsVjYVEPGrS8/Pz/o3k2eMD2nxo0b59UbKywsDKmpqUhNTYXFYoFWq8Uvf/lLaDQaJCYm\n4vnnnx/WIp0w9CDiaRQiLHwb1n+u4twmSo2CtaqNfS1T9j5N6nCJOPkSUO0d3gLKZLo0JpUCZrP7\n9cQR3hEoLgHlia/oBxFQwcNXKHHtJ/K453Kk6XOmb/K5pjRVCqfN/Q8bkx4Np9HqNuYq/Nl5SRvd\nXlNj0kA3VLnvlJSKyJ5i9/2k8ZAIL1waCI8E+LQAsXjPge4yAK7Duubecdd9Lrg3sAYAweJXeFyQ\nQBh6uPa9USqV2Lt3L/bs2QODwQCLxYIpU6agoKAAV155pVckq7KyEoWFhezr2tpaPPHEE3jooYew\ndetWvP7662wT27/+9a9YvHjxZX1vfHj22WexevVqPPLII2hpacG7776LO+64AxERESgsLMTSpUt5\n941iaGhogM1mw5w5cwD0ih4mVS05ORkKhSJgodLe3o7q6mrepgueCIVCpKSkICUlBTabDVqtFmVl\nZejq6sLYsWM567WCgTHHYKzL/REREYGxY8di5cqVOHDgAK6++mr84he/wN13341f//rXAV+bTwNc\nX/vYbDZezXMJww9iGIGRbxjhC18CCoCbgGLo8EjZ8xRQALwEFAA3AQV4CyjAW0BxiSc+woiIp+Dh\nK54877GewgngJ564ok5x8d6TkKa6p4PEcKTwhWV7p/CJst2faFNjOKx8k1K9higpR++PcB7KyZdw\ncuWicHLbhwgnFmIY4ZchcbP+4IMP8MADD0Cv1yM2NhYqlQpHjhxBc3Mz1q9fj0OHDgHg7nvz6KOP\nQiwW47vvvkNpaSmkUilOnjzps9+Ow+GAUqlEUVER0tPTsXXrVkilUjzyyCOX8y0HjMViQUREhNsY\nTdOorq7Grl27cPDgQeTk5GDdunW47rrr+kxra2pqgk6n43Srs9lsrNEEANYdr69zGo1GnDlzBiqV\nKmTRIbvdjpMnT2LMmDHo6emBTqeDWCyGXC5HYmJiUHVPNE2joqICERERvM0xPv/8c/z973/HkSNH\n2L5V3d3dkHAV3faB3W5HdnY2vvzySyiVSsycORN79uxBXl4eu8+nn36K7du3s4YRDz74II4fP87r\n2BHCqAvrEfGE0SueACKgCJfgI564Hk7yEU9c92Y+4slTOAHe4omPcAI4xNMQFE6jVTQxEPHkl2F/\nsw7Uae/o0aP4y1/+gu+++w4Aho146gun04kffvgBu3btwn//+19ce+21WLduHac40mg0aGpq4mW6\nwDSZ1Wq1EIvFUCgUSExM9DqnyWRCWVkZ8vPzedmi84Fp1puWloaUlEsp1EajERqNBi0tLYiOjoZC\noUBcXBzvNLra2lr09PTw7q1VXFyM3/zmNzhy5IjbPPpDXw1waZrG/fffj8OHD0MikeCtt95iXSi5\njh2BEPE0GhnN4onBl4giAmr0ECrxNNhRJ17CCfAST6ESTl6iCSDCiSdEPPll2N+sY2Nj0d7eDqA3\nohAXF8e+5uKuu+7CtGnTcP/99wPoFU9vvfUWYmJiMGPGDDz33HNDrsFuoFitVnz66afYtWsXzp8/\nj6VLl2Lt2rVIS0vD//3f/0EsFmP69OkBpdXRNI2uri7ORrwWiwUlJSXIy8sLOHXQ3/XKysoQHx/v\nZpDguQ/jQtfR0YGEhIQ+a7aampqg1+sxdepUXsKprq4Oa9euxfvvv4/sbO/aVsKAQcTTaISIp14C\niUJ5CijAW0R5CihP8QR4CyiuBrqeAoqIp4EhGPEUqqgTH+EEBBd1GmrCiaTp+YaIJ78Mi5u1P6e+\n22+/3U0sxcXFoa3N+wEd0CsqUlNTcebMGTaCoNVqkZiYCIqi8P/+3/+DWq3Gm2++OTBvZBBoa2vD\nvn37sGfPHvT09KCtrQ0ffvghMjIygj4n446n0WjQ2dkJq9WK7Oxs1i6+v9A0jfLyckRERGD8+PG8\njnE6nWhpaYFGo4HZbGaNJiIjL33n6vV6XLhwAQUFBbzS/VpbW7F06VK89NJLmD17dtDvhxAURDyN\nRoh4ukR/BJTdbENPm7vTGBFQw4fLJZ4uZ7oeEU7DCyKe/DLsb9aBpO0dPHgQL774Io4ePcq5va6u\nDjfddBNOnz49kFMeFI4dO4b77rsPixcvxueff47MzEysW7cO8+fPD9qEwW634+eff0Z8fDy6urpg\ns9kgl8t9NuLlS3V1Nex2e9DW6Xa7HTqdDmq1Gk6nkxVRNTU1mDZtGi+b8+7ubixfvhwPP/wwli1b\nFszbAAAYDAYUFhairq4OGRkZ2Ldvn1dks6GhAbfddhu0Wi0oisI999yDTZs2AcCwMTQZAIh4Go0Q\n8eSO+dFFvrc1Gd1emzTetR7mVndP8k6j1y5egslicf8cWt2N1AAAdofHayKogoaPUPLcJ9iUvYgI\n9+9Vj3YgiOZorByZ4K64ouTeefmRSveUkzCOlD6hwuNi8e43QkrmLdI434QnHh77tJHjQ25wf9hg\nb3TfJ/zB9/u+ziiDiCe/DPub9ebNm5GQkIAtW7Zg27ZtMBgM+Nvf/sa579q1a7Fw4ULceeed7NjZ\ns2exadMm1NXVQSAQIC8vDwcOHPA6NiMjAzKZDEKhECKRCMz9nc/ieCiwadMmbN68GWlpaXA6nThx\n4gR27tyJr7/+GldffTXWrVuH6dOnc/Zk4oKpR1IqlWyzXqvVCq1WC41GA5FIxBpNBGLqUF9fj/b2\ndkyZMiUkVuAWiwX19fWor69HTEwM0tLSkJSU5HdODocDt912GxYsWBCUm54rjz76KOLj49nPZ1tb\nG5555hm3fdRqNdRqNaZNmwaj0Yjp06fjww8/xKRJk0ZMTV4QEPE0GiHiiRtfIspTQAHeIooIqKFN\nKMQTn6hTX8IJ8BZPnsIJ8BZPQ1o4GbzTkIhw4gcRT34Z9jfr1tZWrFmzBvX19UhPT8e+ffsQHx/v\n5dRnMpkwduxY1NbWuvX0ycvLQ2trK9sY9Re/+AVefPFFr+tkZGTgxIkTSExMdBvnszgeythsNhw5\ncgQ7duxAVVUVlixZgsLCQmRkZPgUL06nE2VlZUhMTERaGkckHmAb8er1ekilUigUCsTHx/sVRBqN\nBs3NzT4b6waDxWJBcXEx8vLyIBAIoFarodfrIZPJIJfLER8f73Ytmqbx6KOPIjo6Gn/961/7LeAC\nNTQBgKVLl+L+++/HggULiHgaRRDxBCKe/NGfKBQRUEOXvu51nL2c+hBPlyvq5CmcAG/xNCDCybOj\nM/oWTp6iCSDCyR9EPPll1N+s+S5ufYmnYBbHQ5WOjg68//772L17N2w2G1avXo0VK1a42b7TNI0z\nZ85AKpXyqpuiaRodHR3QaDRoa2tDfHw8FAoFZDKZmzBpbW1l0+qC6Q/FBWNznpWV5fUeXOcUFxeH\nqKgopKamYvv27Th79izefvvtkAi4QA1N6urqMG/ePJw+fRrR0dEj0tCEJ0Q8jUaIePJPKAUU4C2i\nAhVQnuIJCFxAEfEU2PZgUvZCEXUaCOEEcIinyyCciGjqGyKe/DLqb9Z8F7eZmZmIiYmBUCjEvffe\ni3vuuSeg44cTNE2jsbERu3btwv79+5GWloafE3l/AAAgAElEQVS1a9diwYIFeO6557Bs2TJMnjw5\n4PM6nU60trZCrVa7mTpYrVaUl5dj2rRpIWuC63Q6UVxc7JZW6G9Ozz//PA4ePAiBQICPPvoIkyZN\n4n2tUBmadHV14ZprrsHjjz+OFStWABj5hiZ+GHXiKTSPDAgjGsnfDgPgFlESpcxNQEXJo9wElOTi\nYthVREXL3AWUROIuoCIiKDcBFR7uLqBEQm8BJRK5CyiBwL9A6mv7SCYUGRZ8ok59Eahw4mIwhBOp\nbyIQBg5/i1tXKIrymaZ17NgxKJVK6HQ6LFiwABMnTsS8efN4Hz+coCgKY8aMwWOPPYYtW7aguLgY\nO3fuxO9//3solUpcd911cDqdAUdmBAIBkpKSkJSUxJo6nDp1Cl1dXcjMzAzZ746JjiUlJfkVTq5z\nWrhwIb777jusX78emzdvRnJyMt566y1e1/viiy98bktJSYFarWYjk8nJ3m0vgN70yZUrV+KXv/wl\nK5yY4xk2bNiAm266idecCMOP0CSqEkYFjIjyGlfKIHGJCETJo7wWvhKPhXG0RwDBs/G3Z9TCc33L\nVW8TKCFK0yZwEEy6Xl/0Vec0KMLJ0OYmnOyNRiKcCIR+8MUXX+D06dNe/y1dupRd3ALwu7hVKpUA\ngOTkZCxfvhzHjx+HwWCAzWbDuHHjsGDBApSXl3sd39DQgOuuuw6TJk1CXl4eXnjhBXbb1q1boVQq\noVKpoFKp2PqsoQRFUZg2bRrS09MxZ84cPP7443j77bdx1VVX4cknn8S5c+cQTLaRSCRCfHw8HA4H\n23Pp5MmTKC0thU6ng7MfTyLPnTsHsViMsWPH8tr/zJkz+P3vf48DBw7gnnvuwaefforXXnst6Ou7\nsmTJErz99tsAgLfffhtLly712oemadx9993Izc3Fww8/7LaN+WwCwAcffBBUxI8wPCBpeyBpe8HA\nFYXqVneBdl76PPW0WeCwXAoH2cx22Lrd8+tCncJH0vf6Ziik7PU3XW/ICCcXiGjqPyRtzy+j/mbN\nx63PZDLB6XRCJpPBZDJhwYIF+NOf/oSvvvoKP/74I2sd/dlnn2HWrFlux48EJzWapvHyyy9jw4YN\nrM230WjEgQMHsHv3bphMJqxatQorV670qgnzhdVqRXFxMXJychAbG8uOG41GaDQatLS0ICYmBgqF\nArGxsbyjUhcuXIDRaEReXh6vY5qbm7FixQrs2bNnQIQJH0OTY8eOYe7cuZgyZQobzWMsyW+99VaU\nlJSAoihkZGTg1VdfDVk/rSHO8A/hBggRTyDiKVhab72ac7zbo86pp839dbfRXeGYu92P9xRQNlsf\nAspTMNH+t3sy3AVWoBE0z/37fO3xtegppvoSTp59nqQe2XjiaPc+HuI49wPEsRHurxPdezAJYty3\nA4DQY4ySuF+DCvP/S6Nt7n902uzefMzR4S6snAb3z3jUP32nhhB8Q8STX0b9zZrP4ra2thbLly8H\n0GtCcMstt+Dxxx9HTk4ODhw4gAcffBC1tbXQ6XRoaGhwMyfwZKQ5qdE0DbVajd27d+O9995DcnIy\n1q1bh0WLFrk1qHXF4XDg5MmTyMjIYPsXcZ23ra0NarUanZ2dSEpKgkKhQFSU79TrQN36Ojo6sGTJ\nEvztb3/Dddddx+8NEy4XRDyNRoh46h+DIaKIgLoEEU+XthPRNLwh4skv5GbdD4iTmjs0TePUqVPY\nuXMnDh8+jBkzZmDt2rW48sor2b5KTqcTpaWlSElJQWpqah9n7MXhcKClpQXNzc1sI96UlBRERFz6\nbjYYDKiurubt1mexWLBq1Sps2LABa9euDe4NEwYSIp5GI0Q89Z+hEIUaSAE1WsQTEU4ur4lwuuwQ\n8eQXcrPuA+KkFhwOhwNff/01du7ciZMnT2LRokVYs2YN/vGPf+CBBx7A1KlTgzqvayNeoVAIhUKB\nyMhIVFRUoKCgwE1Q+cLpdGLDhg2YPn06fve73/XLqIJvk+Th3mR5ECDiaTRCxFPoCEZEEQHVP/oj\nngYy6jRShBMRTZcPIp78Qm7W/YBvjyebzYabbroJCxcu9DIEYKirq8NNN92E06dPD/S0LztmsxkH\nDhzAn//8Z8TGxqKwsBCrV692c5IL9rwNDQ1obGxEQkIC0tLSvJreekLTNLZu3QqLxYIXXnih3w5/\nfJskj9QmywPIqBNPxG+MEFISdh7jHPc0BHBdKEfKRIiUXVqVSyJ7/2NfezjxhYX5duLzXNz3tfgP\nhJHgzhfK99BX1MkfQ1U40WYbEU4EwggkWCe1w4cPIycnB5mZmdi2bRsAdyc1mqbx4IMPIisrC/n5\n+Th58iR7PubYrKws9tihjkQiYV0HP/30U4SFheGWW27BihUr8O6778Ls+TSTJyKRCG1tbZg+fToy\nMzPR0tKCoqIiVFZWorOzk9MF8N///jfOnz+Pf/zjHyGxRj948CBuv/12AMDtt9+ODz/88LIeTxg5\nkMgTSORpoBjoKNRARaCGW/QpEEEUSL3T5Yo6DZZwCiRNj4imywOJPPmF3Kz7QTBOajRNQ6fT4bvv\nvsMf//hHfPDBBxgzZgwmTpzIOqk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oaGhg8+bN3H777VxzzTXR/fv376ehoSFlYBkIhYWF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\nA8esCgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14,6))\n", "\n", "ax = fig.add_subplot(1, 2, 1)\n", "f1, a1 = plot_spin_distribution_2d(W.real, THETA, PHI, fig=fig, ax=ax)\n", "\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "f2, a2 = plot_spin_distribution_3d(W.real, THETA, PHI, fig=fig, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Versions" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.3.0.dev0+6e5b1d43
Numpy1.13.1
SciPy0.19.1
matplotlib2.0.2
Cython0.25.2
Number of CPUs2
BLAS InfoINTEL MKL
IPython6.1.0
Python3.6.2 |Anaconda custom (x86_64)| (default, Jul 20 2017, 13:14:59) \n", "[GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]
OSposix [darwin]
Thu Jul 20 23:08:51 2017 MDT
" ], "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }