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December 27, 2025 12:07
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OptConicalNL.ipynb
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| { | |
| "nbformat": 4, | |
| "nbformat_minor": 0, | |
| "metadata": { | |
| "colab": { | |
| "provenance": [], | |
| "authorship_tag": "ABX9TyNDpNNM+bzYgZAmM8e/LYAV", | |
| "include_colab_link": true | |
| }, | |
| "kernelspec": { | |
| "name": "python3", | |
| "display_name": "Python 3" | |
| }, | |
| "language_info": { | |
| "name": "python" | |
| } | |
| }, | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "view-in-github", | |
| "colab_type": "text" | |
| }, | |
| "source": [ | |
| "<a href=\"https://colab.research.google.com/gist/rezamarzban/50a578f0ae002d99d05758590d88f445/optconicalnl.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "4Tdu2I83tC0v", | |
| "outputId": "4b0a1874-e543-49d5-81e8-4ff201205fa7" | |
| }, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Optimal L_cone: 0.0100 m\n", | |
| "Optimal R_tip: 0.0020 m\n", | |
| "Optimal alpha: 10.0000\n", | |
| "Minimized RMSE: 0.008277 T\n" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 800x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 800x500 with 1 Axes>" | |
| ], | |
| "image/png": 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BsbGxnD59Gl9f3wxbelREREREks8wDK5fv05QUBAuLkm34SrhTcDp06fvuTa9iIiIiFjv5MmTPPjgg0keo4Q3Ab6+voD5A/Tz80v360VFRbF8+XKeeOIJ3N3d0/16kvZUh85PdejcVH/OT3Xo/DK6DkNDQylUqJA9b0uKEt4ExHVj8PPzy7CE18fHBz8/P/2SOynVofNTHTo31Z/zUx06P6vqMDndTzVoTURERESyNCW8IiIiIpKlKeEVERERkSxNCa+IiIiIZGlKeEVEREQkS1PCKyIiIiJZmhJeEREREcnSlPCKiIiISJamhFdEREREsjQlvCIiIiKSpVma8I4ZM4aHHnoIX19fChQoQJs2bThw4IDDMREREfTr14+8efOSM2dO2rVrx7lz55I8r2EYDBs2jIIFC+Lt7U2jRo04dOhQet6KiIiIiGRSlia8a9asoV+/fmzevJkVK1YQFRXFE088wY0bN+zHDBw4kF9//ZV58+axZs0aTp8+zVNPPZXkeT/66CMmTZrEl19+yV9//UWOHDlo0qQJERER6X1LIiIiIpLJuFl58aVLlzq8njFjBgUKFGDr1q3Uq1ePa9euMW3aNGbNmkWDBg0AmD59OuXKlWPz5s088sgj8c5pGAaffvop77zzDq1btwbg+++/JyAggIULF/Lcc8+l/42JiIiISKZhacJ7t2vXrgGQJ08eALZu3UpUVBSNGjWyH1O2bFkKFy7Mpk2bEkx4jx49ytmzZx3e4+/vT82aNdm0aVOCCW9kZCSRkZH216GhoQBERUURFRWVNjeXhHbtbOT+K5o5ObawJ0f8e5LMzzBcCQt7jKFDXbHZDKvDSTGbLXNfM7FjEypP/FgjwWNuP3fh2rV6vP++Cy4usQ77kvN495ZYedzm4uJ4jIuL42Pc87jt7tcuLuDqatz1+u79tx9dXcHNLf5zNzdwczMcyt3d48pvP/fwMJ97eBj214ltrq4J10F6ivuszojPbEkfqkPnl9F1mJLrZJqENzY2lgEDBlCnTh0qVqwIwNmzZ/Hw8CBXrlwOxwYEBHD27NkEzxNXHhAQkOz3jBkzhpEjR8YrX758OT4+Pim9lRQ7si2Ylef7UYDzfElf3uYDrpEr3a8rackG+FsdhCQpORl27nSPIjtwcYnFwyMWd/dY3Nxi8fCIwd3dfDS32889Pc3tzudeXjF4ekbj7R2Nl1cMXl7ReHlF4+0dg7d3FD4+0Xh6xiT4x82KFSsy/oYlTakOnV9G1WF4eHiyj800CW+/fv3Ys2cP69evz/BrDxkyhEGDBtlfh4aGUqhQIZ544gn8/PzS/fp5plzg3PBgAncu5SW+oEfuX9jfexxn67e3pulNUiw6Oppt27ZRrVo13Nwyza+V5YwUNHan5NjEjr+zLKXPo6Nj2L59O1WrBuPq6mrfl5zHu7fEyu/eHxvrWB4ba7OXxcaS4POYGMeyuC0mxtwSKjM3212vITo6/mN0NERF3floIyqKeNutW3c+On5Oxca6EBHhQnoOm3BxMfDzw775+8dy69Z5SpXKT548Nvz9IU8eyJPHIG9eyJv39nN/f320ZkZRUVGsWLGCxo0b4+7ubnU4kgoZXYdx38gnR6b4n7l///4sXryYtWvX8uCDD9rLAwMDuXXrFlevXnVo5T137hyBgYEJniuu/Ny5cxQsWNDhPVWrVk3wPZ6ennh6esYrd3d3z5AKe6R5fpbQlwo+g3Dr3x+vgwep+mFn2P49fP45lCiR7jHI/YmKMoiJuUCTJq64u2eKXytJoagoA3f3czRv7qI6TCHDMBPfW7cgMtJ8jIgwn0dGms/jtps342/h4be3GzfMLTwcwsIct+vXzc1M6G1cvQpXr8ZF4QoU5J9/7h2vuzvkzw8FCtzeAgKgYEFzCwq6/ejrm24/NklERv3fK+kno+owJdew9FPdMAxefvllfvnlF1avXk2xYsUc9levXh13d3dWrVpFu3btADhw4AAnTpygVq1aCZ6zWLFiBAYGsmrVKnuCGxoayl9//cWLL76Yrvdzv4zHHoNdu+DDD+GDD2D5cqhYEQ4dgjv+EBARyUxsNvD0NLf0ThANw0yGQ0Nvb1evwqVL0axbt4dChSpx/borV67A5ctw6ZLjduOG2TJ9+rS53YuvLxQqFH8rVgyKF4cHHrCmz7KIpIylCW+/fv2YNWsW//vf//D19bX3sfX398fb2xt/f3969uzJoEGDyJMnD35+frz88svUqlXLYcBa2bJlGTNmDG3btsVmszFgwABGjx5NqVKlKFasGO+++y5BQUG0adPGojtNAU9PGDYMOnSAF180E10luyIigJlc58hhbnd8iUdUlIG393GaN6+Au3viGWhEBFy8COfPO25nz8KZM2YSfOaMuYWGmi3Ke/eaW0Lc3aFoUTMBLlECSpc2tzJloEgRc8CfiFjP0l/FL774AoDHHnvMoXz69Ol0794dgAkTJuDi4kK7du2IjIykSZMmfP755w7HHzhwwD7DA8DgwYO5ceMGvXv35urVqzz66KMsXboULy+vdL2fNFWqFKxYgUMnuOPHYcwYeP99s0OaiIikiJdX8tsRwsLg1Ck4eRJOnDAf454fPQrHjpmtxYcOmdvdPDzMJLhcOfPLuooVoVIlKFlSibBIRrO8S8O9eHl5MWXKFKZMmZLs89hsNkaNGsWoUaPuO0ZL2Wzg7X379SuvwKJFMH8+jBsH3bpp5IWISDrJmdNsqS1TJuH9MTFmQnzkiLkdPgwHD5rboUNme8W+fea2YMHt93l6mklw1apQvTpUqwZVqpit1iKSPvQ3pjN5802zWWH3bnj+eZgxA778EsqWtToyEZFsx9UVChc2t7u+qCQ21mwJPnDA7A6xZ8/tLTwcduwwtxkzzONdXMyP8urVoVYtqF3bbBFW/2CRtKGE15nUrg1bt8Knn8KIEbBmDVSubCbCb7/t2BosIiKWcXEx+/YWLQpNmtwuj401u0Ls3g3btpkf6Vu3mn2I4/oK//CDeWzOnPDII+ZHf5065qZWYJHUUcLrbNzd4Y034JlnoH9/+O03GD3aHEo8eLDV0YmISBJcXMzZHYoXh9atb5efOWMmvn//DZs2wV9/mQPmVq40NzA//h95BBo0MLeaNc3uESJyb0p4nVXRovDrr2bHsIkT4eWXb+8zDPXtFRFxIgULwpNPmhuY/YP//Rc2boQNG8wv9E6ehHXrzG3kSPNLvfr1oUULc7trZk8RuYOL1QHIfbDZoF07WLv2dneGmBjz+7MvvzS/OxMREafj6mr2WOvb1+zicPy4ORBu6lR47jlzsYybN2HpUrO9o3hxKF/e/AJw9WpzpTwRuU0Jb1YzZ445ndmLL5odvnbutDoiERG5TzabOZ1Zr14we7bZ53fXLhg7FurWNRPkffvMCXwef9xcJa5vX1i1SsmvCCjhzXqee87s4uDrC5s3m0N+X3/dnFBSRESyBJvNnNP3zTfNL/kuXDDbO7p0gTx5zNdffQWNGpnJb58+8Mcf+uJPsi8lvFmNq6s5X+++ffD002YXh08+gQoVzD6/IiKS5eTODc8+C99/b7b+LlsGL7xgrlF04YLZFaJhQ7Of77vvQkiI1RGLZCwlvFnVAw/AvHmweLG5vuWJE+YKbfrzXkQkS3N3hyeegK+/Nmd/WL7cTH79/c3/CkaPNrtH1KsH336rLwAle1DCm9W1aGEO9R082BzI5vL/VR4ZqY5dIiJZnLs7NG58O/mdMweaNjX/K1i3Dnr2NNtHXn014eWRRbIKJbzZQY4c8OGH5jqWcYYPh4cfhn/+sSwsERHJON7eZreH3383W3rHjIFSpSA0FCZNgtKloVkzWLJEXwZK1qOENzsKCzO/x9q+3Zy5/OWX4do1q6MSEZEM8sAD8NZbsH+/ObVZixbmQLi452XKmF8KRkRYHalI2lDCmx3lzGmua9m5s7lIxeTJUK6c2efXMKyOTkREMoiLizl1++LFZpeGgQPNvr6HD5uzWxYvDuPHw40bVkcqcn+U8GZXAQHmbOYrVpjfaZ05A+3bm3/anzxpdXQiIpLBSpQwk9v//jNnt3zwQfO/htdeMxf3fP99uHrV6ihFUkcJb3bXqJE5e/mwYeDhYY5iEBGRbCtnTnN2y5AQc7BbiRJw8SK8846Z+I4da67yJuJMlPAKeHmZC7Pv2gXffQeFCt3ed/CgdXGJiIhlPDzM6cz274eZM83p3K9dgyFDzC8Gp03TZD/iPJTwym1lysBTT91+vWoVlC1rfuJdvmxdXCIiYhk3N+jY0WwT+eEHc2r3U6fM/xqqVDHXNNLwD8nslPBK4jZsMD/Fpk0zk+Hvv9enmohINuXiYo513r/fXMAzTx7YuxdatYLHHzenfBfJrJTwSuKGDYP1683vsS5ehG7dzLUpDxywOjIREbGIlxcMGmT28X3rLfP1mjXmVO9vvaUZHSRzUsIrSatTB7ZtM0cpeHvDn39C5crmEF4REcm2cuUyF6/Yvx9atzb78374IZQvDwsX6gtByVyU8Mq9eXjAm2+a31c1bw63bkFQkNVRiYhIJlCkiJngLlpkPj9xAtq2hZYt4fhxq6MTMSnhleQrVsycnfzPP+Hpp2+Xr1sH585ZF5eIiFiuZUuzT+/bb4O7O/z2G1SqBNOnq7VXrKeEV1LGZoPHHjMfAS5dMmd2KFsWpk7VAuwiItmYj4+5QMWuXVC7Nly/Dj16QJs2ahcRaynhlftz+TIULmwuv9OnD9Stay5bLCIi2VbZsrB2rdmn18PD7O5QsSIsWGB1ZJJdKeGV+1OqFPz1F3z6qbk8z8aNUK2a2edXQ3VFRLItV1cYPBi2bDHn6714Edq1g65dITTU6ugku1HCK/fPzQ1efRX27TO7N0RHw0cfmZ23rl+3OjoREbFQpUrw999m314XF3Pxiocegj17rI5MshMlvJJ2HnwQfv7ZXHancGFo1Ah8fa2OSkRELObhYfbtXbfOXL3+4EGoWRN+/NHqyCS7UMIrae/JJ82huh9/fLvsyBGYNAliYqyLS0RELFW7tjm1+xNPQHg4dOkCL74IkZFWRyZZnRJeSR85coC/v/ncMOCll8xuDzVrwtat1sYmIiKWyZcPliyB4cPNCX++/BIefRSOHbM6MsnKlPBKxmjb1lyWZ+tWePhhM/nVqAURkWzJ1RVGjDAT3zx5zIFttWq5sW9fHqtDkyxKCa+kP5vNnLJs/37o2NGcq3fSJChXDubP14zkIiLZVNOmZheH6tXh0iUbw4bV5qefbFaHJVmQEl7JOAEBMHMmLF8OJUvC6dPwzDNmmYiIZEtFiphz9rZqFUtUlCudO7vxwQdqC5G0pYRXMl7jxuYyPO++a85X88wzVkckIiIW8vGBuXNjaNXqMABDh0KvXhAVZXFgkmUo4RVreHvDqFFmn15PT7MsOho6dTIXrxARkWzF1RV69PiXiRNjcHGBadOgeXO4ds3qyCQrUMIr1nJ3v/38889h1iyoUwd694YrV6yLS0RELPHii7EsWmRO9rNyJTz2GFy4YHVU4uyU8Erm0bEj9OhhPv/6ayhTxpyVXB25RESylRYtzEUqAgJgxw4z6T171uqoxJkp4ZXMI18+8zusNWvMGRwuXDBnJW/c2FyWR0REso3gYPO/gwceMNcyql8f/vvP6qjEWSnhlcynXj3zT/r33wcvL1i1yly4QkREspUyZcwZHIoUMds96tXTAhWSOpYmvGvXrqVly5YEBQVhs9lYuHChw36bzZbg9vGdS9beZcSIEfGOL1u2bDrfiaQ5Dw94+23Ys8dcqvjTT2/vi421LCwREclYxYubSW/JknD0KNStC4cOWR2VOBtLE94bN25QpUoVpkyZkuD+M2fOOGzffvstNpuNdu3aJXneChUqOLxv/fr16RG+ZIQSJeDXX6FixdtlgwdDt24axSAikk0ULmx2byhb1uzWUK8eHDhgdVTiTNysvHizZs1o1qxZovsDAwMdXv/vf//j8ccfp3jx4kme183NLd57JYs4fdpcpS0qykyEP/rIHOjmot45IiJZWVCQmfQ2agS7d5vDO9avN5NhkXuxNOFNiXPnzvHbb7/x3Xff3fPYQ4cOERQUhJeXF7Vq1WLMmDEUTuI3IjIyksjISPvr0NBQAKKioojKgFmv466REddyevnzY/vzT1xfegnbrl3Qqxex06cTM3myYytwBlMdOj/VoXNT/Tm/5NRh7tywdCk8/rgbBw/aaNzY4M8/o8mfP6OilKRk9O9hSq5jM4zMMeeTzWbjl19+oU2bNgnu/+ijjxg7diynT5/Gy8sr0fP8/vvvhIWFUaZMGc6cOcPIkSM5deoUe/bswdfXN8H3jBgxgpEjR8YrnzVrFj4+Pqm6H0lftpgYii9eTNnZs3GLiCDW1ZXDbdpwsH17YuIWshARkSzpwgUvhgypy8WLPhQvfpXRozfg4xNtdViSwcLDw+nYsSPXrl3Dz88vyWOdJuEtW7YsjRs35rPPPkvRea9evUqRIkUYP348PXv2TPCYhFp4CxUqxMWLF+/5A0wLUVFRrFixgsaNG+N+50IMcm8nTuA6cCAuv/6K4etL9O7d5vdeGUx16PxUh85N9ef8UlqHBw5AgwZuXLhgo169WH79NQZv7wwIVBKV0b+HoaGh5MuXL1kJr1N0aVi3bh0HDhxg7ty5KX5vrly5KF26NIcPH070GE9PTzwTaBV0d3fP0A/OjL5ellCiBCxaBP/7H7bQUNyLFLm978oV8/uvDKQ6dH6qQ+em+nN+ya3DihXN7g2PPQZr17rQpYsLP/8Mbk6R2WRtGfV7mJJrOMVIn2nTplG9enWqVKmS4veGhYUREhJCwYIF0yEyyTRatzYXqYizdCkULQqffQYxMZaFJSIi6adaNXP8sqen2fbRs6cW55SEWZrwhoWFsWPHDnbs2AHA0aNH2bFjBydOnLAfExoayrx583jhhRcSPEfDhg2ZPHmy/fXrr7/OmjVrOHbsGBs3bqRt27a4urrSoUOHdL0XyWRmzIDQUHjlFXjkEdi2zeqIREQkHdSvD/PmgasrfP+9uWaRyN0sTXi3bNlCcHAwwcHBAAwaNIjg4GCGDRtmP2bOnDkYhpFowhoSEsLFixftr//77z86dOhAmTJlaN++PXnz5mXz5s3k1xDO7GXmTJgyBfz8YMsWeOghGDgQrl+3OjIREUljLVvCF1+Yz999F37+2dp4JPOxtKfLY489xr3GzPXu3ZvevXsnuv/YXWsMzpkzJy1CE2fn6mouR9y2LQwaBHPmmKu1zZ8PU6dCEvM/i4iI8+nVy1ycc9Ik6NrVXKHt/9vTRJyjD69IqhUsCLNnm316ixc3l+i5Y0YOERHJOj75BJo0gfBwaNUKzp61OiLJLJTwSvbQpIn5p//338OdU9/t3m2u2iYiIk7Pzc38Qq9MGbN9o21biIiwOirJDJTwSvbh7e04k8P58+Zohxo1YNMm6+ISEZE0kyuXOXND7tywebPZ1UEzN4gSXsm+9u0Dmw127YI6daBvX3PuXhERcWqlSt2eueHHH+Hjj62OSKymhFeyr/r1zaV6unc3//z/6isoWxZmzVJzgIiIk2vY0BzABjBkCKxbZ208Yi0lvJK95csH06fD6tVmsnv+PHTqZM7iEK112UVEnNmLL5o92WJjoUMHuGMWU8lmlPCKgNnau2MHvPeeuWRPiRJan1JExMnZbPD55+YgtlOnzOnKYmOtjkqsoIRXJI6nJ7zzjjmbw51L9Rw6ZLYAi4iI08mZE376Cby84PffzanLJPtRwityt5IlzWG+YPbl7dsXHn/c7Our78NERJxO5cowcaL5fMgQTcyTHSnhFUnKrVvmd2E2G3z3nfn82281qE1ExMn06gXPPQcxMebj5ctWRyQZSQmvSFI8Pc0OYBs3mk0Ely9Dz55mn9+9e62OTkREkslmMyfjKVkSTpyA559X20V2ooRXJDkeeQS2bDEnc/TxMee3qVpVfXtFRJyIn5/Zn9fDAxYtgilTrI5IMooSXpHkcneH1183W3ZbtjRnNq9d2+qoREQkBYKDYdw48/mbb0JIiLXxSMZQwiuSUkWKwP/+Z7byeniYZVFRlJ8xA86csTQ0ERG5t379zLHI4eFm1wZNVZb1KeEVSQ2bDfLksb90mTCBUgsX4lapkvkdWUyMhcGJiEhSXFxg2jTIkcNsu/jsM6sjkvSmhFckDcQ2bsyVUqWwhYZC//5mV4cdO6wOS0REElGs2O2uDUOGmFOuS9alhFckLQQHs3bsWGImTjRHRfz9N1SvDoMGQViY1dGJiEgC+vSBhg3h5k2za4O+nMu6lPCKpBVXV2JffBH27YP27c1OYRMmQO/eVkcmIiIJsNnMrg05c8KGDTBpktURSXpRwiuS1oKCYO5ccw3LsmVh+HCrIxIRkUQUKXJ7ueG334aDB62NR9KHEl6R9NK0Kfz7r7k6W5y33jI/WaOjrYtLREQc9OoFjRtDRIS5iry6NmQ9SnhF0pPLHb9ie/bARx+Zc/nWqAF//WVdXCIiYmezwTffgK8vbNoEX39tdUSS1pTwimSU8uXNT9HcuWHnTqhVC156Ca5etToyEZFsr3Bh+OAD8/nbb8OFC9bGI2lLCa9IRnFxgZ494cAB6NrVXMT9iy+gXDmYM0eLuouIWKxvX3PV+CtXzKnKJOtQwiuS0fLnh+++g1WroHRpOHsWXnzR/IQVERHLuLmZaweBOXvD5s3WxiNpRwmviFUaNIBdu2DkSBg/3mHlNg1qExGxRu3a5py8YPY60wC2rEEJr4iVPD1h2LDbn64Av/4KlSvD2rXWxSUiko2NHQu5csH27fDll1ZHI2lBCa9IZmIY8N575uIV9etDjx5w8aLVUYmIZCsFCtwewDZ0KJw/b208cv+U8IpkJjYbLFt2e3W26dPNxStmzNCgNhGRDNS7N1SrBteuwZtvWh2N3C8lvCKZTe7c8NVX5jqXFSvCpUtml4fHH4f9+62OTkQkW3B1hc8/N5/PmGF+JIvzUsIrklnVrg3btsGHH4K3N6xZAyEhVkclIpJt1KwJL7xgPu/fH2JjrY1HUk8Jr0hm5u4OgwfD3r1m4tuixe19Z89aF5eISDYxZgz4+8OOHTBrltXRSGop4RVxBkWLmolvnLNnzb69HTsq8RURSUf58sFbb5nP33kHIiKsjUdSRwmviDNasQKuX4fZs83E98sv9V2biEg6efVVeOABOH78dr9ecS5KeEWcUZcu8PffUL26OYT4xRehTh1zIQsREUlT3t4wapT5/P334epVS8ORVFDCK+KsqleHv/6CiRPB19dcA7NaNfO7N01hJiKSprp1gwoV4PJlc2EKcS5KeEWcmasrvPKKuVBFu3bmGpgREeZ8viIikmZcXW8nuhMnwsmT1sYjKaOEVyQreOABmD8fliwxV2qLc+SIPpVFRNJIixZQt67ZrjB8uNXRSEpYmvCuXbuWli1bEhQUhM1mY+HChQ77u3fvjs1mc9iaNm16z/NOmTKFokWL4uXlRc2aNfn777/T6Q5EMplmzczuDWB2a3j+eShfHj79FKKjLQ1NRMTZ2Wzw0Ufm8+++gz17rI1Hks/ShPfGjRtUqVKFKVOmJHpM06ZNOXPmjH2bPXt2kuecO3cugwYNYvjw4Wzbto0qVarQpEkTzmshbMlurlwxk9ywMBg4EB5+GP75x+qoRESc2iOPmD3IYmNhyBCro5HksjThbdasGaNHj6Zt27aJHuPp6UlgYKB9y507d5LnHD9+PL169eL555+nfPnyfPnll/j4+PDtt9+mdfgimVuePLBuHUydCrlywfbt5rJBL79szuwgIiKp8sEHZp/exYvNRTAl83OzOoB7Wb16NQUKFCB37tw0aNCA0aNHkzdv3gSPvXXrFlu3bmXIHX9yubi40KhRIzZt2pToNSIjI4mMjLS/Dg0NBSAqKoqoqKg0upPExV0jI64l6SNT12H37tC8Oa6DB+MyaxZMnozx889EL1tmzuErQCavQ7kn1Z/zc6Y6LFYMXnjBha++cuXdd2NZtSrG6pAyhYyuw5Rcx2YYmWP+IpvNxi+//EKbNm3sZXPmzMHHx4dixYoREhLC22+/Tc6cOdm0aROurq7xznH69GkeeOABNm7cSK1atezlgwcPZs2aNfz1118JXnvEiBGMHDkyXvmsWbPw8fG5/5sTySTy79xJ5a++IsbDgzXjxmG4Zfq/eUVEMqVLl7zo06cR0dGuvP/+eipUuGR1SNlOeHg4HTt25Nq1a/j5+SV5bKb+3+65556zP69UqRKVK1emRIkSrF69moYNG6bZdYYMGcKgQYPsr0NDQylUqBBPPPHEPX+AaSEqKooVK1bQuHFj3N3d0/16kvacpg6bNzf78549S7OiRc2yyEhcvv2W2J49wcPD0vCs5DR1KAlS/Tk/Z6zDv/4ye4398Udt3nhDrbwZXYdx38gnR6ZOeO9WvHhx8uXLx+HDhxNMePPly4erqyvnzp1zKD937hyBgYGJntfT0xNPT8945e7u7hn6S5fR15O05xR16O5+eyYHMCeWHDYM16lTzSWKH33UutgyAaeoQ0mU6s/5OVMdvv02fPstrFrlwpYtLtzx5XK2llF1mJJrONU8vP/99x+XLl2iYMGCCe738PCgevXqrFq1yl4WGxvLqlWrHLo4iMgdSpaEfPng33/NCSZfeMFcSkhERJJUpAh07Wo+v3MKdMl8LE14w8LC2LFjBzt27ADg6NGj7NixgxMnThAWFsYbb7zB5s2bOXbsGKtWraJ169aULFmSJk2a2M/RsGFDJk+ebH89aNAgvv76a7777jv27dvHiy++yI0bN3j++ecz+vZEnEOHDnDggJnoAkybBmXKwPffa4liEZF7GDIEXFzg999hyxaro5HEWJrwbtmyheDgYIKDgwEzWQ0ODmbYsGG4urqya9cuWrVqRenSpenZsyfVq1dn3bp1Dt0PQkJCuHjxov31s88+y7hx4xg2bBhVq1Zlx44dLF26lICAgAy/PxGnkScPfP21OY1ZhQpw8aK5cPzbb1sdmYhIplayJHTsaD4fPdraWCRxlvbhfeyxx0hqkohly5bd8xzHjh2LV9a/f3/69+9/P6GJZE+PPgrbtsH48fDxx9Czp9URiYhkekOHwsyZ8L//wa5dULmy1RHJ3ZyqD6+IZAAPD3jrLThxwmy6iDN6NKxcaV1cIiKZVNmy0L69+VytvJmTEl4RSViOHLefb9oE774LjRtD585w10woIiLZ3dCh5uP8+bB3r7WxSHxKeEXk3sqXh/79wWYzv7crW9acfDI21urIREQyhUqVoG1bc6zv++9bHY3cTQmviNybvz989pk5y3pwMFy9Cn36mNOY7d5tdXQiIpnCO++Yj3PmwKFD1sYijpTwikjyPfQQ/P03fPop5MwJGzfCE09AZKTVkYmIWK5aNXNBy9hYmDjR6mjkTkp4RSRl3Nzg1Vdh3z546ikYMwYSWKlQRCQ7GjTIfJw+Ha5csTYWuU0Jr4ikzoMPws8/m/P1xvn5Z2jXDk6dsi4uERELNWhgTksWHm5Oby6ZgxJeEbk/Npv5GB0Nr70GCxaYg9omToSYGGtjExHJYDYbDBhgPv/sM4iKsjQc+X9KeEUkbbi5waJF8MgjEBZmfuI//LDW2hSRbKdDByhQAP77z/ziS6ynhFdE0k7lyrBhA3z5pTmzw7ZtULMmvPIKhIZaHZ2ISIbw8oKXXjKfT5hgTlUm1lLCKyJpy8XFnLJs/36zmSM21vxe759/rI5MRCTDvPiiOZ7377/NtXvEWkp4RSR9BAbCrFmwfLm5VHHDhrf3RURYF5eISAYoUAA6dTKfT5hgbSyihFdE0lvjxubUZXFOnYKiReHDDzWaQ0SytLjBawsWwNGjloaS7SnhFZGM9c03cO6c2epbrZq5eIWISBZUqRI0anS7Z5dYRwmviGSsYcNgxgzIlw/27IE6daB3b7h82erIRETS3MCB5uM332jsrpWU8IpIxrLZzMUq9u+HHj3Msq+/NufunT3b2thERNJY06ZQpgxcvw7ffmt1NNmXEl4RsUbevDBtGqxdC+XKwYUL5jRmIiJZiIvL7b68kyaZ3Rsk4ynhFRFr1a0LO3aYw5hHjLhdfuoUREZaFZWISJrp2hVy5TIHrq1YYXU02ZMSXhGxnoeH2QSSI4f5OjYWnn7aXMjizz8tDU1E5H75+ECXLubzqVOtjSW7UsIrIpnP0aNw7BgcPAgNGpjNIxcuWB2ViEiq9eplPi5aBGfOWBtLdqSEV0QynxIlYN8+c21Omw1++MEc9fHNN+oAJyJOqVIlqFULoqPNiWokYynhFZHMKVcumDLFXJOzShW4csVsIqlfH86ftzo6EZEU693bfPz6a/3tntGU8IpI5lazJmzZAp98YvbxDQ83Z3gQEXEy7duDv7/Za2vVKqujyV6U8IpI5ufmBoMGwd69ZvcGV1ezPCICVq60NjYRkWS6c/DaV19ZG0t2o4RXRJxH4cJQvvzt1x98AI0bm80mp09bF5eISDLFdWv43//g7FlrY8lOlPCKiPOKjjZbe+fNM1dqmzwZYmKsjkpEJFGVKsEjj2jwWkZTwisizuuDD8z+vTVrmut2vvyy+T+JVmwTkUxMg9cynhJeEXFuVavChg3w+efmaJAtW+Chh7RovYhkWs8+a35cHTkCf/xhdTTZgxJeEXF+rq7w4ouwfz889xx4eZkLVoiIZEI+PtC5s/lcK69lDCW8IpJ1BAbC7NnmohVFi94unzIFjh+3LCwRkbvFrbz2yy9w7py1sWQHSnhFJOspXPj287VroX9/c3aHjz+GqCjr4hIR+X9VqpjDDzR4LWMo4RWRrK1AAahXz1ywYvBgqF7dXL1NRMRica28M2aAYVgaSpanhFdEsrayZWH1anMQW968sHs31KkDffuayxWLiFjk6afNIQf798P27VZHk7Up4RWRrM9mg+efN/9X6d7dbEr56it47DE1q4iIZfz9oVUr8/kPP1gbS1anhFdEso98+WD6dLPFt1w5s4uDzWZ1VCKSjcUtNTx7ttmfV9KHEl4RyX7q14cdO6BjR3uRbf58Ss+dC5GR1sUlItlOkybm3+LnzsHKlVZHk3Up4RWR7MnD43br7vXruA4cSLnZs3GrXt1sARYRyQDu7ub04QA//mhtLFmZEl4RkZw5ifn4YyJy5cJ28CA8/rjZ1/fiRasjE5FsIG4Ril9+gbAwa2PJqixNeNeuXUvLli0JCgrCZrOxcOFC+76oqCjefPNNKlWqRI4cOQgKCqJr166cPn06yXOOGDECm83msJUtWzad70REnJrNhvHcc6yaPJmY3r3Nlt/vvoMyZczZHTSwTUTS0cMPQ6lS5uyJv/xidTRZU4oT3n379jF8+HAaNGhAiRIlKFiwIJUrV6Zbt27MmjWLyBT0f7tx4wZVqlRhypQp8faFh4ezbds23n33XbZt28aCBQs4cOAAreKGMyahQoUKnDlzxr6tX78+RfcoItlTdM6cxE6eDBs3QuXKcPky9OwJW7ZYHZqIZGE22+1WXnVrSB9uyT1w27ZtDB48mPXr11OnTh1q1qxJ27Zt8fb25vLly+zZs4ehQ4fy8ssvM3jwYAYMGICnp2eS52zWrBnNmjVLcJ+/vz8rVqxwKJs8eTIPP/wwJ06coPCdKyndfVNubgQGBib31kREHD3yCGzdChMnwpEj8NBDt/cZhmZ2EJE017kzDB9uDlw7cwYKFrQ6oqwl2Qlvu3bteOONN5g/fz65cuVK9LhNmzYxceJEPvnkE95+++20iNHu2rVr2Gy2JK8PcOjQIYKCgvDy8qJWrVqMGTMmyQQ5MjLSoWU6NDQUMLtVRGXAMqRx18iIa0n6UB06vwTr8JVX4naaj8eP49a2LTFjxmA0aZLBEUpS9Dvo/LJ7HRYqBLVqubJpkws//hjDgAGxVoeUYhldhym5js0wktc5LSoqCnd39xQFkZLjbTYbv/zyC23atElwf0REBHXq1KFs2bLMnDkz0fP8/vvvhIWFUaZMGc6cOcPIkSM5deoUe/bswdfXN8H3jBgxgpEjR8YrnzVrFj4+Psm+BxHJ2qpOnkyR/5836FSdOuzu2ZPIPHksjkpEsoqlS4vy5ZdVKFbsKhMmrLE6nEwvPDycjh07cu3aNfz8/JI8NtkJb3pLKuGNioqiXbt2/Pfff6xevfqeN3Wnq1evUqRIEcaPH0/Pnj0TPCahFt5ChQpx8eLFFF0rtaKiolixYgWNGzdO0R8JknmoDp1fsurw+nVcRo3C5bPPsMXGYvj5Efvee8T27g2urhkbsDjQ76DzUx3CpUtQuLAbUVE2tm2LomJFqyNKmYyuw9DQUPLly5eshDfZXRru9s8///Dnn39y/vx5YmMdm93Hjx+f2tPGExUVRfv27Tl+/Dh//PFHihPQXLlyUbp0aQ4fPpzoMZ6engn2N3Z3d8/QX7qMvp6kPdWh80uyDvPkgU8/hW7doE8fbP/8g+urr+L644/mUsXBwRkaq8Sn30Hnl53rMDAQWrSAhQth7lx3p/1Iyag6TMk1UjUt2QcffEDNmjWZPn06W7ZsYfv27fZtx44dqTllguKS3UOHDrFy5Ury5s2b4nOEhYUREhJCQfX+FpG0EhwMmzbB5Mng6wv//APz51sdlYhkAXGzNcycCbHO140300pVC+/EiRP59ttv6d69+31dPCwszKHl9ejRo+zYsYM8efJQsGBBnn76abZt28bixYuJiYnh7NmzAOTJkwcPDw8AGjZsSNu2benfvz8Ar7/+Oi1btqRIkSKcPn2a4cOH4+rqSocOHe4rVhERB66u0K8ftG0LY8fCO+/c3hcaChnQHUpEsp4WLcDfH/77D9auhcceszqirCFVLbwuLi7UqVPnvi++ZcsWgoODCf7/NvtBgwYRHBzMsGHDOHXqFIsWLeK///6jatWqFCxY0L5t3LjRfo6QkBAu3rEa0n///UeHDh0oU6YM7du3J2/evGzevJn8+fPfd7wiIvEEBcGkSeDtbb6OiYGGDaFNGzh50tLQRMT5eHnB00+bz+fNszaWrCRVLbwDBw5kypQpfPrpp/d18ccee4ykxswlZzzdsWPHHF7PmTPnvmISEbkvf/8NO3aYi1WsXAmjRpnTm7mlesiEiGQzTz8N06bBggXw2WfgYum6uFlDqj6BX3/9dVq0aEGJEiUoX758vE7DCxYsSJPgREScTq1aZsLbty+sXw+vvQbff28OaqtZ0+roRMQJNGhgdms4e9Zc+PHRR62OyPml6m+GV155hT///JPSpUuTN29e/P39HTYRkWytQgVYswa++QZy54adO81E+KWX4OZNq6MTkUzOwwNatzafazxs2khVC+93333Hzz//TIsWLdI6HhGRrMHFBXr2hJYt4fXX4YcfzOWK/3/ArYhIUp5+2vxy6OefYfx4dWu4X6n68eXJk4cSJUqkdSwiIllPgQLm/1p//AFff317gYrwcAgJsTY2Ecm0Gjc2Zz387z9zaIDcn1QlvCNGjGD48OGEh4endTwiIlnT449D5cq3X48aBRUrwvvvw61b1sUlIpmSlxc8+aT5/OefrY0lK0hVwjtp0iR+//13AgICqFSpEtWqVXPYREQkCbGxZr/eiAhz/t6qVc0JN0VE7hA3Pdn8+ZCMiaskCanqw9umTZs0DkNEJBtxcYElS2DWLBg0CPbtg/r14fnn4eOPIRWrSopI1tO0Kfj4wLFjsG0bVK9udUTOK1UJ7/Dhw9M6DhGR7MVmg06doHlzeOstmDoVpk+HRYvgp5/MeYlEJFvz8TE/IubPNzclvKl332P+wsLCCA0NddhERCSZcuc25+jdsMHs0xsZCaVKWR2ViGQS6taQNlKV8B49epQWLVqQI0cO/P39yZ07N7lz5yZXrlzkzp07rWMUEcn6atc2v7P8808oVOh2+fz5mrtXJBtr3twcwHb4MOzebXU0zitVXRo6d+6MYRh8++23BAQEYLPZ0jouEZHsx90datS4/XrVKnjmGShRAr74wpynSESyFV9fsy/vwoXm3793TvYiyZeqhHfnzp1s3bqVMmXKpHU8IiISJzoagoLM+XqfeAI6dDBnoA8MtDoyEclA7drdTnhHjbI6GueUqi4NDz30ECdPnkzrWERE5E5NmpgzOLzyijmzw+zZULas2dobG2t1dCKSQVq2NL8A2rcP9u61OhrnlKoW3m+++Ya+ffty6tQpKlasiLu7u8P+ympvFxFJG35+MHEidO0KffqYyxO/9BKsWAELFlgdnYhkAH9/80ue334zF6EoX97qiJxPqhLeCxcuEBISwvPPP28vs9lsGIaBzWYjJiYmzQIUERHM+Yj++gs+/xyGDjW7N4hItvH002bCO38+vPuu1dE4n1QlvD169CA4OJjZs2dr0JqISEZxdYWXX4bnnoN8+W6X//ILuLmZ33uKSJbUqpX5EbBrFxw5AsWLWx2Rc0lVwnv8+HEWLVpEyZIl0zoeERG5l/z5bz+/dAl694aLF6FtW5g0CR580LrYRCRd5MkDjz4Ka9aYLb0vv2x1RM4lVYPWGjRowM6dO9M6FhERSSlvb+jZ02zh/eUXKFcOPv3UnOFBRLKUJ580HxcvtjYOZ5SqFt6WLVsycOBAdu/eTaVKleINWmvVqlWaBCciIvfg4wNjx5rLFPftCxs3wsCB8P335gpuDz1kdYQikkaefBLeeANWr4awMMiZ0+qInEeqEt6+ffsCMCqByeA0aE1ExAKVKsG6dTBtGrz5JmzfDrVqwaFDUKyY1dGJSBooU8ZchyYkBFauhDZtrI7IeaSqS0NsbGyim5JdERGLuLhAr16wfz906QI9eijZFclCbDZ1a0itVCW8IiKSiRUoYHZp+OKL22VHjpiD2o4csS4uEblvcQnvb79p/ZmUSHbCO2fOnGSf9OTJk2zYsCFVAYmISBpxdb39fOBAc23SChVgzBi4dcuysEQk9erVM/vunj0L27ZZHY3zSHbC+8UXX1CuXDk++ugj9u3bF2//tWvXWLJkCR07dqRatWpcunQpTQMVEZH78NFH8PjjEBEBb78N1arB+vVWRyUiKeThYa46DurWkBLJTnjXrFnDhx9+yIoVK6hYsSJ+fn6UKlWKSpUq8eCDD5I3b1569OhB4cKF2bNnj2ZqEBHJTMqUgVWrzK4O+fLBv/9C3brwwgtw+bLV0YlICqgfb8qlaJaGVq1a0apVKy5evMj69es5fvw4N2/eJF++fAQHBxMcHIyLi7oFi4hkSjabOZitRQtzJodvvjFndShRAoYMsTo6EUmmZs3MX+etW+H0aQgKsjqizC9V05Lly5ePNpoLQ0TEOeXJA19/Dd26wSefwKBBt/fFxDj2/RWRTCcgAB5+GP76C5YsMb+okaSpOVZEJLt69FFzdTZPT/N1dDTUqQPDh5t9fUUk01K3hpRRwisiIqaFC80mo1GjoHJls8+viGRKLVqYjytW6O/T5FDCKyIipnbtYN48KFjQXKGtUSPo3BnOn7c6MhG5S9WqZt/d8HBzqWFJmhJeEREx2Wzw9NOwbx/072++njnTnOFh6lTNci+Sidy56tpvv1kbizNQwisiIo78/eGzz8zuDcHBcPWqOZ2ZiGQqd/bjNQxrY8nsUjxLQ2xsLGvWrGHdunUcP36c8PBw8ufPT3BwMI0aNaJQoULpEaeIiGS0hx6Cv/+GyZOhcWOIm3byxg3zMUcO62ITERo2BC8vOHYM9u41F1KUhCW7hffmzZuMHj2aQoUK0bx5c37//XeuXr2Kq6srhw8fZvjw4RQrVozmzZuzefPm9IxZREQyipsbDBjg+D/psGHma32PKmIpHx9o0MB8rtkakpbshLd06dLs2rWLr7/+mtDQUDZt2sTPP//Mjz/+yJIlSzhx4gQhISHUrVuX5557jq+//jo94xYRESvcvGnO5nD8uPl96tNPw6lTVkclkm2pH2/yJDvhXb58OT/99BPNmzfH3d09wWOKFCnCkCFDOHToEA3i/uQQEZGsw9sbdu2CN94wF6j4+WcoWxYmTjQXrRCRDNWkifm4aRNcv25tLJlZshPecuXKJfuk7u7ulChRIlUBiYhIJpcjB3z0EWzbBo88AmFhZreHhx+G/futjk4kWyle3Nyio2HNGqujybxSNUtD8eLFef7554mMjHQov3jxIsWLF0/2edauXUvLli0JCgrCZrOxcOFCh/2GYTBs2DAKFiyIt7c3jRo14tChQ/c875QpUyhatCheXl7UrFmTv//+O9kxiYhIMlWuDBs2wJdfQq5ccPgw+PlZHZVIttO4sfm4YoW1cWRmqUp4jx07xoYNG6hbty5nz561l8fExHD8+PFkn+fGjRtUqVKFKVOmJLj/o48+YtKkSXz55Zf89ddf5MiRgyZNmhCRxJIic+fOZdCgQQwfPpxt27ZRpUoVmjRpwnlNnC4ikvZcXKBPH7Nld948cyb8OJs2aa4kkQwQl/CuXGltHJlZqhJem83G0qVLefDBB6levTr//PNPqi7erFkzRo8eTdu2bePtMwyDTz/9lHfeeYfWrVtTuXJlvv/+e06fPh2vJfhO48ePp1evXjz//POUL1+eL7/8Eh8fH7799ttUxSgiIskQEABPPHH79dKlULu2OaLm2DHLwhLJDh5/3FyIYu9ejSFNTIrn4QUzGc2ZMycLFixgyJAh1K9fn6lTp9I47k+MNHD06FHOnj1Lo0aN7GX+/v7UrFmTTZs28dxzz8V7z61bt9i6dStDhgyxl7m4uNCoUSM2bdqU6LUiIyMdumeEhoYCEBUVRVRUVFrcTpLirpER15L0oTp0fqrDtOVy4AAu7u7YlizBKF+e2HfeIXbAAEhk0PP9Uv05P9Vh6vn6QvXqrmzZ4sLSpdF07WrNNysZXYcpuU6qEl6bzWZ/PmbMGCpUqECvXr3o0KFDak6XoLiuEgEBAQ7lAQEBDt0o7nTx4kViYmISfM/+JAZSjBkzhpEjR8YrX758OT4+PikNPdVWqPON01MdOj/VYRopWpScEyZQ5YsvyPfvv7gOHcqNr75ix0svcaVs2XS7rOrP+akOU6do0XJs2VKaH344Q7582yyNJaPqMDw8PNnHprqF906dO3emRIkSCXZNcAZDhgxh0KBB9tehoaEUKlSIJ554Ar8MGIARFRXFihUraNy4caJTvknmpjp0fqrDdNKrF9E//IDrm2/id+IE9d56i5i33yZ2xIg0vYzqz/mpDu9Pjhw25s+H/fsfpFmzQO5om8wwGV2Hcd/IJ0eqEt7Y2Nh4ZbVq1WLnzp1JtqSmRGBgIADnzp2jYMGC9vJz585RtWrVBN+TL18+XF1dOXfunEP5uXPn7OdLiKenJ56envHK3d3dM/SXLqOvJ2lPdej8VIfpoGdPaNMGBg+Gb7/F9aGHcE2nn7Hqz/mpDlOnbl1z5bVz52zs3+9O5crWxZJRdZiSa6Rq0FpiAgICqF+/fpqcq1ixYgQGBrJq1Sp7WWhoKH/99Re1atVK8D0eHh5Ur17d4T2xsbGsWrUq0feIiEgGyJsXpk0zF61o0+Z2+e+/w8GDloUlklV4ekJcCqZeIfElO+Ft2rQpmzdvvudx169f58MPP0x0qrE7hYWFsWPHDnbs2AGYA9V27NjBiRMnsNlsDBgwgNGjR7No0SJ2795N165dCQoKos0dH5YNGzZk8uTJ9teDBg3i66+/5rvvvmPfvn28+OKL3Lhxg+effz65tyoiIumlUqXbzy9cgE6dzPl8R46Eu+Z2F5GU0Xy8iUt2l4ZnnnmGdu3a4e/vT8uWLalRowZBQUF4eXlx5coV9u7dy/r161myZAktWrTg448/vuc5t2zZwuOPP25/HdePtlu3bsyYMYPBgwdz48YNevfuzdWrV3n00UdZunQpXl5e9veEhIRw8eJF++tnn32WCxcuMGzYMM6ePUvVqlVZunRpvIFsIiJischIc3W2ZctgxAiYNctcxOKO/xdEJPniEt61ayEiAu5Il7K9ZCe8PXv2pHPnzsybN4+5c+cydepUrl27BpizNpQvX54mTZrwzz//JHsZ4sceeyzeALg72Ww2Ro0axahRoxI95lgC8zv279+f/v37JysGERGxyIMPml0afvrJXJr44EFo0AC6dIFx46BAAasjFHEqFSpAwYJw5gxs3Gj+OokpRX14PT096dy5M7/++itXrlzhypUrnD59moiICHbv3s24ceOSneyKiIhgs8Gzz5ortfXrZ77+4QcoXx6uXLE6OhGnYrNB3PIF6tbg6L4Grfn7+xMYGOgwSu7mzZv3HZSIiGQz/v4weTJs3gxVq5pJcO7cVkcl4nTUjzdhaTZLQ2RkJJ988gnFihVLq1OKiEh28/DD8M8/cOc4kIMH4e23IQWTzItkV3EtvNu2waVL1saSmaQo4Y2MjGTIkCHUqFGD2rVrs3DhQgCmT59OsWLF+PTTTxk4cGB6xCkiItmFm5s5oSiAYcBLL8GYMVCxotnnV0QSVbCg+atiGPDHH1ZHk3mkKOEdNmwYX3zxBUWLFuXYsWM888wz9O7dmwkTJjB+/HiOHTvGm2++mV6xiohIdmOzwcsvQ6FCcPQoNG8O7dvD6dNWRyaSaalbQ3wpSnjnzZvH999/z/z581m+fDkxMTFER0ezc+dOnnvuOVxdXdMrThERya5at4a9e+G118DVFebNg7JlzT6/MTFWRyeS6dyZ8CYxGVa2kqKE97///qN69eoAVKxYEU9PTwYOHIjNigWbRUQk+8iZ05yqbMsWqFkTrl83W36//dbqyEQynXr1wN0djh2DkBCro8kcUpTwxsTE4OHhYX/t5uZGzpw50zwoERGRBFWtChs2wOefQ+3a0K2b1RGJZDo5cpi/HgArV1obS2aR7IUnAAzDoHv37nh6egIQERFB3759yZEjh8NxCxYsSLsIRURE7uTqCi++CH37mn18AaKieGTUKGyRkfDMM7fLRbKpBg1gzRpz69vX6misl6KEt9tdf0l37tw5TYMRERFJtjuSWpdvviFg2zZz/t4ffjD79xYpYmFwItaqX998XLPG7Meb3f8GTFHCO3369PSKQ0REJNViu3fn8Pr1lF64ENvixeZ8TCNGmEsW37E4kkh28fDD4OFhLjMcEgIlS1odkbXSbOEJERERy3h7s79TJ6K3bDFH7ISHw+DBUKOGuXqbSDbj7W2O7wSzlTe7U8IrIiJZR7lysHq1OXtD3rywaxcMHWp1VCKWqFfPfFTCq4RXRESyGpsNnn8e9u+Hnj3NGR3i3LqliUkl24jrx7t2rbVxZAZKeEVEJGvKlw+++QbKlLld9tpr8MQTcPiwdXGJZJDatc2Vuo8fN7fsTAmviIhkDxcumF0dVq6EihXhvfcgMtLqqETSTY4c8P/rhWX7bg1KeEVEJHvInx927jTXXY2MhGHDoEoVs8+vSBalbg0mJbwiIpJ9lCwJy5bBrFlQoAAcOACPPw7du8OlS1ZHJ5Lm7pyPNztTwisiItmLzQYdOpiD2uJWa/vf/yA62urIRNJcnTrg4mJ2Wz992uporKOEV0REsqfcueGLL2DjRpg2DQICbu87ccK6uETSkL8/VK1qPs/O3RqU8IqISPb2yCPw1FO3X//6q9n1YehQuHnTurhE0oi6NSjhFRERcbRkCURFwQcfmLM5LFtmdUQi90ULUCjhFRERcfT557BgATzwABw5Ak2bwnPPwZkzVkcmkip165qP+/bB+fPWxmIVJbwiIiJ3stmgbVszOxgwwBzxM3culC1rzu4g4mTy5oVKlczn69ZZG4tVlPCKiIgkxNcXJkyAf/6BGjUgNBRy5bI6KpFUievWkF0HrinhFRERSUq1arB5MyxeDM2b3y7fuBHCwqyLSyQFsvvANSW8IiIi9+LqCi1a3H599qyZ/JYvb87hK5LJxbXw7toFV65YG4sVlPCKiIik1KlTkCcPnDwJbdqY28mTVkclkqiAAChTBgwD1q+3OpqMp4RXREQkpapXhz174K23wM3NbOUtVw7Gj9eKbZJpZeduDUp4RUREUsPHB8aMge3bzfVbb9yA114zF7K4dcvq6ETiyc7z8SrhFRERuR8VK5pD37/+2lyu+NFHwcPD6qhE4olr4d22zZx0JDtRwisiInK/XFzghRfgwAF4773b5Xv3mnP4GoZ1sYn8vwcfhKJFITYW/v7b6mgylhJeERGRtJI/vzl/L5hJbt++5iptzZqZq7aJWKxWLfNx0yZr48hoSnhFRETSQ0wMNGoEnp6wbBlUqAAffKD+vWIpJbwiIiKSdtzcYNgw2L0bGjaEiAgYOhSqVs2+67uK5eIS3s2bza4N2YUSXhERkfRUqhSsWAE//ggFCsC+feZw+d9/tzoyyYaqVAFvb3PxiYMHrY4m4yjhFRERSW82G3TqBPv3Q+/eZitvo0ZWRyXZkLs71KhhPs9O3RqU8IqIiGSU3Lnhq69g40Yz8wCIjIQePcxkWCQDZMd+vJk+4S1atCg2my3e1q9fvwSPnzFjRrxjvby8MjhqERGRJHh7334+bhxMnw6VK8O778LNm9bFJdnCI4+Yj0p4M5F//vmHM2fO2LcVK1YA8MwzzyT6Hj8/P4f3HD9+PKPCFRERSZlOnaBFC4iKgtGjoVIls8+vSDqJa+H991+4ds3aWDJKpk948+fPT2BgoH1bvHgxJUqUoH7cciEJsNlsDu8JCAjIwIhFRERSoGhR+PVXmD8fgoIgJASeeAI6doSzZ62OTrKgwEDzn51hZJ8FKNysDiAlbt26xY8//sigQYOw2WyJHhcWFkaRIkWIjY2lWrVqfPDBB1SoUCHR4yMjI4mMjLS/Dv3/9faioqKIiopKuxtIRNw1MuJakj5Uh85PdejcskT9tWoFjz2Gy4gRuHz+ObbZs4mNiCBm7lyrI8sQWaIOnUjNmq4cO+bC+vUxPPZY2sxPltF1mJLr2AzDedY7/Omnn+jYsSMnTpwgKCgowWM2bdrEoUOHqFy5MteuXWPcuHGsXbuWf//9lwcffDDB94wYMYKRI0fGK581axY+Pj5peg8iIiL34n/4MJWmTWP7K69wo2BBs9AwzNkeRNLA4sXF+OabylSrdo5hwzZbHU6qhIeH07FjR65du4afn1+SxzpVwtukSRM8PDz49ddfk/2eqKgoypUrR4cOHXjvzvXN75BQC2+hQoW4ePHiPX+AaSEqKooVK1bQuHFj3ONG7YpTUR06P9Whc8sO9efy6qvg5UXsu+9CzpxWh5PmskMdZiZbt9qoVcuN3LkNzpyJxiUNOrlmdB2GhoaSL1++ZCW8TtOl4fjx46xcuZIFCxak6H3u7u4EBwdz+PDhRI/x9PTE09Mzwfdm5C9dRl9P0p7q0PmpDp1blq2/Awfgyy/BMHD9+WeYPBlatrQ6qnSRZeswk6lePW4BChtHj7pTtmzanTuj6jAl18j0g9biTJ8+nQIFCtCiRYsUvS8mJobdu3dTMO4rIREREWdTpgwsXmyONDpxwuzv+9RT8N9/VkcmTiq7LUDhFAlvbGws06dPp1u3bri5OTZKd+3alSFDhthfjxo1iuXLl3PkyBG2bdtG586dOX78OC+88EJGhy0iIpJ2mjc355F6801wc4NffoFy5eDTTyE62uroxAllpwUonCLhXblyJSdOnKBHjx7x9p04cYIzZ87YX1+5coVevXpRrlw5mjdvTmhoKBs3bqR8+fIZGbKIiEja8/GBsWNh2zaoXRvCwsy5e7PLZKqSprJTwusUfXifeOIJEhtbt3r1aofXEyZMYMKECRkQlYiIiEUqVYJ162DaNPD1hbx5zXLDgPBwyJHD2vjEKdy9AIW/v7XxpCenaOEVERGRu7i4QK9e8Nxzt8sWLIBSpeCnn8zkVyQJAQFQrFj2WIBCCa+IiEhWMWUKnDkDzz5r9vk9csTqiCSTyy7dGpTwioiIZBVLlsDw4eDhAUuXQoUKMGYM3LpldWSSSSnhFREREefi5QUjRsCuXfD44xARAW+/DdWqwWbnXE1L0ldcwrt5M8SmzQrDmZISXhERkaymTBlYtQq+/x7y5TNHJV2/bnVUkglVrmwuQHH1qrm+SValhFdERCQrstmgSxczi/n6a2jc+Pa+Awc0qE0AcwGKhx4yn2flbg1KeEVERLKyPHngzsWX/vvPXGKrYcOs3aQnyZYd+vEq4RUREclOtmwxV2b780/z++zhw82+vpJt3dmPN6tSwisiIpKdtGlj9ult1sycvWHUKDPxXbnS6sjEInFdGvbuhRs3rI0lvSjhFRERyW6KF4fffjMXqChYEA4dMvv4du+uvr3ZUFCQ+c8gNhZ27LA6mvShhFdERCQ7stngmWdg3z7o3998XaCA+SjZTo0a5uOWLdbGkV6U8IqIiGRn/v7w2Wfm2rLDh98u37cPdu+2Li7JUHEJ79at1saRXpTwioiIiJnx5MhhPo+NhR49zAUr3nwz63bsFDu18IqIiEj2EhZmduqMjoaPPjKXKP7tN6ujknRUvbr5uH9/1lyjRAmviIiIOPLzgwULYNEiKFwYjh+HJ5+Edu3g1Cmro5N0EBAAhQqZYxa3b7c6mrSnhFdEREQS1rKlOVfV66+Dq6uZBJcrl3WH8mdzWblbgxJeERERSVyOHPDxx7BtGzzyCJQqBRUrWh2VpAMlvCIiIpK9Va4MGzbAkiXg5maW3bwJI0dCaKi1sUmaiOvHq4RXREREsi8XF7OzZ5wxY2DECLObw/z5WrTCycUlvIcOwbVr1saS1pTwioiISOrUqwclS8Lp0+YiFk8+CceOWR2VpFK+fFC0qPl82zZLQ0lzSnhFREQkdRo1MhenePddcHc3uzuUL29OZRYVZXV0kgpZtR+vEl4RERFJPS8vGDUKdu2C+vXNfr1vvgmDBlkdmaSCEl4RERGRxJQtC3/+CTNmmHP3vvaa1RFJKijhFREREUmKzQbdukFIyO3OoACDB8OPP2pQmxOoVs18PHIELl+2Npa0pIRXRERE0lbctGUAGzea8/h26QKNG8PBg9bFJfeUO7c5DhFg61ZrY0lLSnhFREQk/dSoAe+/b/b1XbUKKlUy5+6NjLQ6MklEVuzWoIRXRERE0o+HB7z9NuzZA02awK1b5ty9lSubfX4l04mbj1ctvCIiIiIpUaIE/P47zJ0LgYFm14YOHSA83OrI5C5q4RURERFJLZsN2reH/fuhXz8YPx58fMx9hgGxsdbGJ8DtgWvHj8OFC9bGklaU8IqIiEjG8veHyZOhY0d7ke2nn3h06FD4918LAxMAPz8oU8Z8nlW6NSjhFREREWvFxOA6ciR59+3D7aGHYMgQdXWwWFbr1qCEV0RERKzl6kr0smWcqVkTW3Q0jB0LFSuafX7FEkp4RURERNJaoUL8PWQI0T//DIUKwdGj0Lw5PPMMnD5tdXTZjhJeERERkXRitGwJe/eaSxO7usL8+XDggNVhZTtVq4KLC5w6BWfPWh3N/VPCKyIiIplLzpwwbpw5YmrMGHj88dv7stJ6t5lYzpxQrpz5PCsMXFPCKyIiIplTlSrw1lu3Xx8/DkWLwoABcP26VVFlG3ELUGSFbg1KeEVERMQ5LFhgJroTJ5rNjwsWmPP3SroIDjYfd+60No60kKkT3hEjRmCz2Ry2smXLJvmeefPmUbZsWby8vKhUqRJLlizJoGhFREQkXQ0cCEuXQvHiZufSdu2gVSuz5VfSXJUq5uOOHZaGkSYydcILUKFCBc6cOWPf1q9fn+ixGzdupEOHDvTs2ZPt27fTpk0b2rRpw549ezIwYhEREUk3TZrAnj0wdCi4u8PixVC+PHz6qdWRZTlxCe/RoxAaam0s9yvTJ7xubm4EBgbat3z58iV67MSJE2natClvvPEG5cqV47333qNatWpMnjw5AyMWERGRdOXtDaNHm02P9eqZi1RklTVwM5E8ecwZ4gB27bI2lvvlZnUA93Lo0CGCgoLw8vKiVq1ajBkzhsKFCyd47KZNmxg0aJBDWZMmTVi4cGGS14iMjCQyMtL+OvT//4yJiooiKirq/m4gGeKukRHXkvShOnR+qkPnpvpzfqmqw1KlYMUKbHPmYLRpA3HvDQkxs7XcudM+0GymUiVXTp50YevWGGrWjE3y2Iz+PUzJdTJ1wluzZk1mzJhBmTJlOHPmDCNHjqRu3brs2bMHX1/feMefPXuWgIAAh7KAgADO3mMCuTFjxjBy5Mh45cuXL8fHx+f+biIFVqxYkWHXkvShOnR+qkPnpvpzfqmqQ39/+PNP83lMDPXefBPvCxfY07Mnp+rWBZstbYPMRnLkKAuU4bffTlK0aPJGr2XU72F4CpafztQJb7NmzezPK1euTM2aNSlSpAg//fQTPXv2TLPrDBkyxKFlODQ0lEKFCvHEE0/g5+eXZtdJTFRUFCtWrKBx48a4u7un+/Uk7akOnZ/q0Lmp/pxfmtXhyZO4ubpiu3aNGuPHU23XLmImTYKSJdMu2GwkPNzGvHlw5Uphmjd/IMljM/r3MDQFHYszdcJ7t1y5clG6dGkOHz6c4P7AwEDOnTvnUHbu3DkCAwOTPK+npyeenp7xyt3d3TP0gzOjrydpT3Xo/FSHzk315/zuuw6LFzfn0fr4Yxg9GpeVK3EJDoZ33oE33oAE/r+XxMUtMbxnjws2mwtuycgcM+r3MCXXyPSD1u4UFhZGSEgIBQsWTHB/rVq1WLVqlUPZihUrqFWrVkaEJyIiIpmBp6eZ4O7ZA40bQ2QkvPuuuV7uf/9ZHZ1TKVECcuSAiAg4dMjqaFIvUye8r7/+OmvWrOHYsWNs3LiRtm3b4urqSocOHQDo2rUrQ4YMsR//6quvsnTpUj755BP279/PiBEj2LJlC/3797fqFkRERMQqJUvCsmUwaxYEBJh9fYOCrI7Kqbi4QKVK5nNnXoAiUye8//33Hx06dKBMmTK0b9+evHnzsnnzZvLnzw/AiRMnOHPmjP342rVrM2vWLKZOnUqVKlWYP38+CxcupGLFilbdgoiIiFjJZoMOHWD/fjPxdfn/1Cc8HGbO1EptyRA3H68zJ7yZug/vnDlzkty/evXqeGXPPPMMzzzzTDpFJCIiIk4pVy5zizNqFHz4IUydCl9+aS5VLAmqWtV8dOYV1zJ1C6+IiIhIuggMBB8fWLvWbMJ85x24edPqqDKlrNDCq4RXREREsp8BA2DvXmjZ0lyw4v33oWJFs8+vOKhUyewZcuYMnD9vdTSpo4RXREREsqciReB//4MFC+CBB+DIEWjaFD791OrIMpWcOW9PY+ysrbxKeEVERCT7stmgbVvYt89s9fX3h3btrI4q03H2bg1KeEVERER8fWHCBDh6FAoVul3+wQfOPVorjSjhFREREckqcue+/XzVKhg61Fxu7LXXICzMurgsFpfwOmvur4RXREREJCHlysEzz0BMDIwfD+XLm31+s6G4qcn27zcXrnM2SnhFREREEhIUBD/9BEuWQLFicPIktGljbidPWh1dhnrwQbPxOzranNzC2SjhFREREUlKs2awZw8MGQJubmYrb8OGEBtrdWQZxmZz7n68SnhFRERE7sXH5/YAtkcfhdGjby9TnE04cz/eTL20sIiIiEimUqECrFljNnnG+fFH2LjRTIjvXL44i4nrx6sWXhEREZGszsXldsIbHg6DBsEXX5iD3ObOBcOwNr50cmeXBme7RSW8IiIiIqnl42MmuaVLw9mz8NxzZp/fkBCrI0tz5cubXZivXHG+MXtKeEVERETux+OPw65dMHIkeHrCsmVQsaLZxeHWLaujSzOenlC2rPnc2bo1KOEVERERuV+enjBsGOzebc7gEBFhLlqxfbvVkaUpZ+3Hq4RXREREJK2UKgUrVpgD2d58E2rWvL0vKsq6uNKIs87UoFka7kNMTAxRafCPNyoqCjc3NyIiIoiJiUmDyCSjqQ6dX2apQ3d3d1xdXS27voikAZsNOnVyLAsJMbs+vPcedO3qOMuDE3HWuXiV8KaCYRicPXuWq1evptn5AgMDOXnyJDYn/QXI7lSHzi8z1WGuXLkIDAy0PA4RSUMTJpgjvbp3hxkzzFkd4jrEOpG4hDckBMLCIGdOa+NJLiW8qRCX7BYoUAAfH5/7/k8pNjaWsLAwcubMiUs2m8Q6q1AdOr/MUIeGYRAeHs758+cBKFiwoCVxiEg6mDABCheGESNg9WqoXBneegvefhu8vKyOLtkKFICCBeHMGbO7cq1aVkeUPEp4UygmJsae7ObNmzdNzhkbG8utW7fw8vJSsuSkVIfOL7PUobe3NwDnz5+nQIEC6t4gklW4u8PgwdC+PfTvD7/9ZnZvmDXLbO1t3NjqCJOtQgUz4f33X+dJePU/cwrF9dn18fGxOBIRyariPl/SYoyAiGQyRYvCr7/C/PkQFGT2Ddi40eqoUqRCBfPx33+tjSMllPCmkvrWiUh60eeLSBZns0G7drBvnzl371tv3d539izExloXWzJUrGg+KuEVERERkaT5+Zlz93p6mq+jo81V2urUMReyyKTUwivZ2ogRI6gaNyN1FrhOcnXv3p22bdvaXz/22GMMGDDAuoCS4cCBAwQGBnL9+vVkvyc192Wz2Vi4cGHKgsvCvvzyS1q2bGl1GCKSWe3ebXZx2LwZqlWDN96AGzesjiqe8uXNx9OnIY0mrEp3SnizkZMnT9KjRw+CgoLw8PCgSJEivPrqq1y6dCnF50ookXn99ddZtWpVGkWbeseOHcNms1GgQIF4CV3VqlUZMWJEul5/wYIFvPfee+l6jfs1ZMgQXn75ZXx9fa0OJc1NnTqVxx57DD8/P2w2W4LTB16+fJlOnTrh5+dHrly56NmzJ2FhYUmeNyIign79+pE3b15y5sxJu3btOHfunMMxJ06coEWLFvj4+FCgQAHeeOMNoqOj7ft79OjBtm3bWLduXZrcq4hkMcHBZjeHp5+GmBgYN87MLn/91erIHPj7w4MPms+dpZVXCW82ceTIEWrUqMGhQ4eYPXs2hw8f5ssvv2TVqlXUqlWLy5cv3/c1cubMmWYzV6SF69evM27cuAy/bp48eTJFIpnYgKcTJ06wePFiunfvnrEBZZDw8HCaNm3K22+/negxnTp14t9//2XFihUsXryYtWvX0qdPnyTPO3DgQH799VfmzZvHmjVrOH36NE899ZR9f0xMDC1atODWrVts3LiR7777jhkzZjBs2DD7MR4eHnTs2JFJkybd/42KSNb0wAMwbx4sXmwOcDtxAlq1gqeeghR8K5fenK1bgxLeNGAY5jcOGb0ZRvJj7NevHx4eHixfvpz69etTuHBhmjVrxsqVKzl16hRDhw61H1u0aFHee+89OnToQI4cOXjggQeYMmWKw36Atm3bYrPZ7K/v7mrQvXt32rRpwwcffEBAQAC5cuVi1KhRREdH88Ybb5AnTx4efPBBpk+f7hDrm2++SenSpfHx8aF48eK8++67qRqt/vLLLzN+/Hj7nKYJuXLlCl27diV37tz4+PjQrFkzDh06ZN8/Y8YMcuXKxbJlyyhXrhw5c+akadOmnDlzJtFz3v3Vf9GiRfnggw/o0aMHvr6+FC5cmKlTpzq85+TJk7Rv355cuXKRJ08eWrduzbFjx+z7//nnHxo3bky+fPnw9/enfv36bNu2zeEcNpuNL774glatWpEjRw7ef//9BOP76aefqFKlCg888IC97NKlS3To0IEHHngAHx8fKlWqxOzZsxO9x7j7SurfSZyLFy/Stm1bfHx8KFWqFIsWLbLvi4mJoWfPnhQrVgxvb2/KlCnDxIkTk7zuvQwYMIC33nqLRx55JMH9+/btY+nSpXzzzTfUrFmTRx99lM8++4y5c+cmWq/Xrl1j2rRpjB8/ngYNGlC9enWmT5/Oxo0b2bx5MwDLly9n7969/Pjjj1StWpVmzZrx3nvvMWXKFG7dumU/V8uWLVm0aBE3b968r/sUkSyuRQszm3zzTXBzg/PnIUcOq6Oyi0t49+yxNo7kUsKbBsLDzZVGUrv5+bnw4IO58PNzSdH7wsOTF9/ly5dZtmwZL730kn2OzziBgYF06tSJuXPnYtyRQX/88cdUqVKF7du389Zbb/Hqq6+yYsUKwEy+AKZPn86ZM2fsrxPyxx9/cPr0adauXcv48eMZPnw4Tz75JLlz5+avv/6ib9++9OnTh//++8/+Hl9fX2bMmMHevXuZOHEiX3/9NRMmTEhuddh16NCBkiVLMmrUqESP6d69O1u2bGHRokVs2rQJwzBo3ry5Q4IdHh7OuHHj+OGHH1i7di0nTpzg9ddfT1Esn3zyCTVq1GD79u289NJLvPjiixw4cAAwW2KbNGmCr68v69atY8OGDfbEOi5Run79Ot26dWP9+vVs3ryZUqVK0bx583hdNkaMGEHbtm3ZvXs3PXr0SDCWdevWUaNGDYeyiIgIqlevzm+//caePXvo3bs3Xbp04e+//07yvpL6dxJn5MiRtG/fnl27dtG8eXM6depk/0YhNjaWBx98kHnz5rF3716GDRvG22+/zU8//WR//8yZM8mZM2eSW0q6CGzatIlcuXI5/AwaNWqEi4sLW7duTfA9W7duJSoqikaNGtnLypYtS+HChdm0aZP9vJUqVSIgIMB+TJMmTQgNDeXfO5pAatSoQXR0NH/99VeyYxaRbMrHB8aOhW3bYNo0iJsjPCwMtmyxNDSnm6nBkHiuXbtmAMa1a9fi7bt586axd+9e4+bNm/aysDDDMNtbM3YLC0ve/WzevNkAjF9++SXB/ePHjzcA49y5c4ZhGEaRIkWMpk2bOhzz7LPPGs2aNbO/Tuh8w4cPN6pUqWJ/3a1bN6NIkSJGTEyMvaxMmTJG3bp17a+jo6ONHDlyGLNnz040/o8//tioXr16ote529GjRw3A2L59u7F06VLD3d3dOHz4sGEYhlGlShVj+PDhhmEYxsGDBw3A2LBhg/29Fy9eNLy9vY2ffvrJMAzDmD59ugHY328YhjFlyhQjICDA4T5btWplXLlyxYiJiTHq169vvPrqq/b9RYoUMTp37mx/HRsbaxQoUMD44osvDMMwjB9++MEoU6aMERsbaz8mMjLS8Pb2NpYtW5bgPcbExBi+vr7Gr7/+ai8DjAEDBiT6c4lTpUoVY9SoUfc8rkWLFsZrr71mf53QfSXn38k777xjfx0WFmYAxu+//57odfv162e0a9fO/jo0NNQ4dOhQklt4eHi88/z5558GYFy5csWh/P333zdKly4d7/j8+fMb48aNc/j3GmfmzJmGh4dHvPKHHnrIGDx4sGEYhtGrVy/jiSeecNh/48YNAzCWLFniUJ47d25jxowZif4MEvqckaTdunXLWLhwoXHr1i2rQ5FUUh2mwKBBhmGzGUa/foZx9aolIfz1l5mL3PHfYYbXYVL52t200loa8PEx/9hKrdjYWEJDQ/Hz80vRCk8pXfvCSEEfiFp3LZ1Sq1YtPv3005RdEKhQoYLDPQUEBFAx7s9CwNXVlbx58zp0O5g7dy6TJk0iJCSEsLAwoqOj8fPzS/G1wWxhe/TRR3n33XeZNWuWw759+/bh5uZGzZo17WV58+alTJky7Nu3z17m4+NDiRIl7K8LFiyYZDeJhFSuXNn+3GazERgYaD/Hzp07OXz4cLx+vxEREYSEhABw7tw53nnnHVavXs358+eJiYkhPDycEydOOLzn7pbbhNy8eROvu5axjImJ4YMPPuCnn37i1KlT3Lp1i8jIyHsusJKcfyd33nuOHDnw8/Nz+PlNmTKFb7/9lhMnTnDz5k1u3brl0DXG19c3U/SJTkve3t6EJ/crGhGROxkGXLliPk6ZAgsWwMSJ5kC3DJzDO26mhnPn4NIlyERDeBKkLg1pwGYzu9Vk9Jbcf9clS5bEZrM5JHF32rdvH7lz5yZ//vxp+FMxubu7O7y22WwJlsX+/yTbmzZtolOnTjRv3pzFixezfft2hg4d6tAHMqXGjh3L3Llz2b59e6ren1C8KfnjIbFzxN1zWFgY1atXZ8eOHQ7bwYMH6dixIwDdunVjx44dTJw4kY0bN7Jjxw7y5s0b7+eSIxn9u/Lly8eVK1ccyj7++GMmTpzIm2++yZ9//smOHTto0qTJff3c4yR173PmzOH111+nZ8+eLF++nB07dvD88887XDetuzTc+cdGnOjoaC5fvuzQHeHu99y6dSvejA/nzp0jMDDQfszdszbEvY47Js7ly5fT5fdNRLIBmw2+/RZWroRSpcw1ftu3N/v8HjmSYWHkzAlFipjPnaFbg1p4s4G8efPSuHFjPv/8cwYOHOjQj/fs2bPMnDmTrl27OqzuFDcQ587X5cqVs792d3cnJiYmzWPduHEjRYoUcRhEd/z48fs658MPP8xTTz3FW3euZAOUK1fO3peydu3agDl468CBA5SP+9M1A1SrVo25c+dSoECBRFuyN2zYwOeff07z5s0Bc5DbxYsXU3W94OBg9u7dG+/8rVu3pnPnzoD5rcPBgwfv+XO417+Te9mwYQO1a9fmpZdespfFtWrHadWqlUMrfELuHIB3L7Vq1eLq1ats3bqV6tWrA2Zf89jYWPvru1WvXh13d3dWrVpFu3btAHMu4xMnTthbuWvVqsX777/P+fPnKVCgAAArVqzAz8/P4ecYEhJCREQEwcHByY5ZRCSehg3NxSnGjoUxY+D3382RZHPmQOvWGRJChQpw/LiZ8NarlyGXTDW18GYTkydPJjIykiZNmrB27VpOnjzJ0qVLady4MQ888EC8Ef0bNmzgo48+4uDBg0yZMoV58+bx6quv2vcXLVqUVatWcfbs2XithfejVKlSnDhxgjlz5hASEsKkSZP45Zdf7vu877//Pn/88Yd9oFjctVq3bk2vXr1Yv349O3fupHPnzjzwwAO0zqAPCzCnyMqXLx+tW7dm3bp1HD16lNWrV/PKK6/YB/OVKlWKH374gX379vHXX3/RqVOneAMQk6tJkyZs2rTJ4Q+WUqVKsWLFCjZu3Mi+ffvo06dPvNbKhNzr38m9lCpVii1btrBs2TIOHjzIu+++G28QpK+vLyVLlkxyu/uPuB07dnD48GEAdu/ezY4dO+wD5cqVK0fTpk3p1asXf//9Nxs2bKB///48++yzFCxYEIBTp05RtmxZ+6A9f39/evbsyaBBg/jzzz/ZunUrzz//PLVq1bLPBvHEE09Qvnx5unTpws6dO1m2bBnvvPMO/fr1wzNuFSXMQYPFixd36CYjIpIqXl4wYoSZ+DZoAB4e8PDDGXZ5Z5qaTAlvNhGXWBQvXpz27dtTokQJevfuzeOPP86mTZvIkyePw/GvvfYaW7ZsITg4mNGjRzN+/HiaNGli3//JJ5+wYsUKChUqlKYtVa1atWLgwIH079+fqlWrsnHjRt599937Pm/p0qXp0aMHERERDuXTp0+nevXqPPnkk9SqVQvDMFiyZEm8r+HTk4+PD2vXrqVw4cI89dRTlCtXjp49exIREWFv8Z02bRpXrlyhWrVqdOnShVdeecXeiphSzZo1w83NjZUrV9rL3nnnHapVq0aTJk147LHHCAwMpE2bNvc8173+ndxLnz59eOqpp3j22WepWbMmly5dcmjtTY0vv/yS4OBgevXqBUC9evUIDg52mA5t5syZlC1bloYNG9K8eXMeffRRvvrqK/v+qKgoDhw44NDPdsKECTz55JO0a9eOevXqERgYyIIFC+z7XV1dWbx4Ma6urtSqVYvOnTvTtWvXeLOEzJ492x6biEiaKFPG7OLwzz/w/3+4AzB1qtnBNp0409RkNiOlnRGzgdDQUPz9/bl27Vq8r5gjIiI4evQoxYoVizfwJ7VSO2gtvRQtWpQBAwZk+uVxM5PMVof3MmXKFBYtWsSyZctSfY6s9u8kI+rw33//pUGDBhw8eBB/f/9Ej0uPz5msLioqiiVLltC8efMM/YNV0o7qMI0tXQrNmkG+fPDJJ9ClS5oPatu6FWrUMC9x4ULG12FS+drdMv//zCKS5vr06UO9evXizeMr6evMmTN8//33SSa7IiJpInduswn24kXo1s3s83tHt760UK6cmUNfvGiui5GZKeEVyYbc3NwYOnRolpvuK7Nr1KhRirp8iIikWs2a5oIVY8aAtzf8+SdUrgzDh8Nd3ftSy8cHihUzn2f2fryapUHiuXNJW5HE6N+JiEgm5+EBb70Fzz4L/fqZMzmMGgXr18OqVWlyiQoVzNnQ/v0XHn00TU6ZLjJ1C++YMWN46KGH8PX1pUCBArRp08ZhlH1CZsyYgc1mc9jUB05ERESyrWLF4LffYN48c1Dbyy+n2amdZaaGTJ3wrlmzhn79+rF582ZWrFhBVFQUTzzxBDdu3EjyfX5+fpw5c8a+3e88riIiIiJOzWYzV2M7dAjunIVn1ixzNof/XxAopZwl4c3UXRqWLl3q8HrGjBkUKFCArVu3Ui+JGY7jlm4VERERkTvcuSLnhQtma+/lyzBjBnz1FVSqlKLT3ZnwZuZ5vzJ1wnu3a9euAcSbM/ZuYWFhFClShNjYWKpVq8YHH3xAhbgaSUBkZCSRkZH216GhoYA5vUZUVJTDsVFRURiGQWxsrH151PsVNzNc3HnF+agOnV9mqsPY2FgMwyAqKgpXV1dLY3EWcZ/Vd39mi/NQHVogZ05c3n4blxEjsG3ahBEcTOyAAcS+845jYpyEEiXAxcWNy5dtnDyZsXWYkus4zTy8sbGxtGrViqtXr7J+/fpEj9u0aROHDh2icuXKXLt2jXHjxrF27Vr+/fdfHnzwwQTfM2LECEaOHBmvfNasWfj4+DiUubm5ERgYSKFChfDw8Li/mxIRScCtW7c4efIkZ8+eJTo62upwRCSL87p4kUrffEPQ/y8XH54/P7v69OFcjRrJev9LLzXk9OmcjBy5kSpVLqRnqA7Cw8Pp2LFjsubhdZqE98UXX+T3339n/fr1iSauCYmKiqJcuXJ06NCB9957L8FjEmrhLVSoEBcvXkxw4YmTJ09StGjRNBsMZxgG169fx9fXF1saTwotGUN16PwyUx1GRERw7NgxChUqpEG3yRQVFcWKFSto3LixFi1wUqpD69l++w3XV1/FduIEhs1G9O7dULr0Pd/39NOuLFrkwkcf3aJ06d8zrA5DQ0PJly9fshJep+jS0L9/fxYvXszatWtTlOwCuLu7ExwczOHDhxM9xtPT02Gt+zvfe3eFxcTEYLPZcHFxSbPVmOK+Po07rxVsNhu//PJLspaTtcq0adOYO3cuy5cvT/Z7Unpfq1ev5vHHH+fKlSvkypUr2ddJ7zpcunQpb731Ftu2bXOKldycUWb4PYzj4uKCzWZL8DNIkqafmfNTHVqoTRto3BhGjMB26xbuSXQHvVOlSrBoERw44Ebp0hlXhym5Rqb+n9MwDPr3788vv/zCH3/8QbG42Y1TICYmht27d1PwzrWls6Hu3bsnmfSdOXOGZs2aZVxAKRQREcG7777L8OHDrQ4lXbzyyitUr14dT09PqlatGm9/06ZNcXd3Z+bMmRkfnIiIZB85csDHH8Onn94uO3jQnGR369YE3xKXF+/dm/7hpVamTnj79evHjz/+yKxZs/D19eXs2bOcPXuWmzdv2o/p2rUrQ4YMsb8eNWoUy5cv58iRI2zbto3OnTtz/PhxXnjhBStuwWkEBgYm2MqdkQzDSLS/4vz58/Hz86NOnToZHFXG6dGjB88++2yi+7t3786kSZMyMCIREcm27uza9dZbsGEDPPwwvPoq/P/g/ji3E15bpp2pIVMnvF988QXXrl3jscceo2DBgvZt7ty59mNOnDjBmTNn7K+vXLlCr169KFeuHM2bNyc0NJSNGzdSvnz59A/4xo3Et7uX8Uvq2DsS+kSPTWM2m42FCxcC5gpaNpuNBQsW8Pjjj+Pj40OVKlXYtGmTw3vWr19P3bp18fb2plChQrzyyisOcyT/8MMP1KhRA19fXwIDA+nYsSPn71hse/Xq1dhsNn7//Xd762ZiAxLnzJlDy5YtHcr++ecfGjduTL58+fD396d+/fps27Yt0XuMu685c+ZQu3ZtvLy8qFixImvWrIl37NatW6lRowY+Pj7Url3bYcGTkJAQWrduTUBAADlz5uShhx5i5cqVif9wk2HSpEn069eP4sWLJ3pMy5Yt2bJlCyEhIfd1LRERkRT54gvo2NGcq3fSJChXDubPt89DVqYMuLrCtWs2Ll/OnOMOMnXCaxhGglv37t3tx6xevZoZM2bYX0+YMIHjx48TGRnJ2bNn+e233wgODs6YgHPmTHxr187x2AIF7Ptc/PzI9eCDuPj5mWV3dy0oWjT++TLA0KFDef3119mxYwelS5emQ4cO9hbYkJAQmjZtSrt27di1axdz585l/fr19O/f3/7+qKgo3nvvPXbu3MnChQs5duyYQ93Feeuttxg7diz79u2jcuXKCcayfv16atw1WvT69et069aN9evXs3nzZkqVKkXz5s25fv16kvf1xhtv8Nprr7F9+3Zq1apFy5YtuXTpUrx7/+STT9iyZQtubm706NHDvi8sLIzmzZuzatUqtm/fTtOmTWndujUnT560H9O3b19y5syZ5JZShQsXJiAggHXr1qX4vSIiIqkWEAAzZ8Ly5VCyJJw+Dc88A08+CceO4ekJpUqZh5444WttrIlwikFrYo3XX3+dFi1aADBy5EgqVKjA4cOHKVu2LGPGjKFTp04MGDAAgFKlSjFp0iTq16/PF198gZeXl0OSWLx4cSZNmsRDDz1EWFiYQ8I3atQoGjdunGgcV69e5dq1awQFBTmUN2jQwOH11KlTyZUrF2vWrOHJJ59M9Hz9+/en3f//AfLFF1+wdOlSpk2bxuDBg+3HvP/++9SvXx8wE/IWLVoQERGBl5cXVapUoUqVKvZj33vvPX755Rd+//13+3zPo0aN4vXXX080htQKCgrSyoEiImKNxo1h1y4YMwbGjoUlS2D2bBgyhAoVYP9+OHEi6dkSrKKENy2FhSW+7+7J4+/4aj82NpbQ0FD8/PzM0eF3jxA/diztYkyBO1tb4wb9nT9/nrJly7Jz50527drlMIgqbsL+o0ePUq5cObZu3cqIESPYuXMnV65csY+CP3HihEMXk7tbbu8W12f77umZzp07xzvvvMPq1as5f/48MTExhIeHc+LEiSTPV6tWLftzNzc3atSowb59+5J174ULFyYsLIwRI0bw22+/cebMGaKjo7l58yb//fef/T0FChSgQIECScaRGt7e3oSHh6f5eUVERJLF2xtGjTK7OIwbB6+9Bpj9eH/7+aZaeLOFZK5KEu/Y2FiIiTHLEpoOKSXnTUN3TvcRNy9pXNIaFhZGnz59eOWVV+K9r3Dhwty4cYMmTZrQpEkTZs6cSf78+Tlx4gRNmjTh1q1bDsfnuMf95c2bF5vNxpUrVxzKu3XrxqVLl5g4cSJFihTB09OTWrVqxTt/aiR176+//jorVqxg3LhxlCxZEm9vb55++mmHFV/69u3Ljz/+mOQ1wpL6AykRly9fJn/+/Cl+n4iISJoqWxa++cb+slKZW/xFTYYe/hwISvx9FlHCK6lSrVo19u7dS8mSJRPcv3v3bi5dusTYsWMpVKgQAFu2bEnVtTw8PChfvjx79+7liSeesJdv2LCBzz//nObNmwNw8uRJLl68eM/zbd68mXr16gEQHR3N1q1bHfoe38uGDRvo3r07bdu2BczE9dixYw4tx+nRpSEiIoKQkJCM65MuIiKSTA9dW8nflGHV+ZqZcqYGJbzZyLVr19ixY4dDWd68ee0JaUq8+eabPPLII/Tv358XXniBHDlysHfvXlasWMHkyZMpXLgwHh4efPbZZ/Tt25c9e/YkutJdcjRp0oT169fb+wyD2W84biaI0NBQ3njjDby9ve95rilTplCqVCnKlSvHhAkTuHLlikN/43spVaoUCxYsoGXLlthsNt59911762+clHZpOHz4MGFhYfZp9+LqqXz58vYlrDdv3mxvxRYREclMgl5oTnTOBnx4dR1Q1+pw4snUszRI2lq9ejXBwcEO28iRI1N1rsqVK7NmzRoOHjxI3bp1CQ4OZtiwYfaBZfnz52fGjBnMmzeP8uXLM3bsWMaNG5fq2Hv27MmSJUu4du2avWzatGlcuXKFatWq0aVLF1555ZVkJZljx45l7NixVKlShfXr17No0SLy5cuX7FjGjx9P7ty5qV27Ni1btqRJkyZUq1YtVfcV54UXXiA4OJivvvqKgwcP2uvn9OnT9mNmz55Np06d8PHxua9riYiIpDV3d3j6OVcKF76OxauzJ8hmGJmx4dlaoaGh+Pv7J7g2c0REBEePHqVYsWJptsZ9vEFrkqBnnnmGatWqOSw0khLHjh2jWLFibN++PcHVzO5HetfhxYsXKVOmDFu2bEnVioNyb5np9zA9PmeyuqioKJYsWULz5s21LK2TUh06v4yuw6TytbspuxKn8fHHH6dq/tqs4NixY3z++edKdkVERFJBfXjFaRQtWpSXX37Z6jAsUaNGjXtO3yYiIiIJU8Ir2UbRokVRDx4REZHsR10aRERERCRLU8KbSmopFJH0os8XEZG0pYQ3heJGHWp5VxFJL3GfLxqpLiKSNtSHN4VcXV3JlSsX58+fB8DHx8e+9GxqxcbGcuvWLSIiIiyfDklSR3Xo/DJDHRqGQXh4OOfPnydXrly4urpaEoeISFajhDcVAgMDAexJ7/0yDIObN2/i7e1938mzWEN16PwyUx3mypXL/jkjIiL3TwlvKthsNgoWLEiBAgWIioq67/NFRUWxdu1a6tWrp68wnZTq0Pllljp0d3dXy66ISBpTwnsfXF1d0+Q/JldXV6Kjo/Hy8lKy5KRUh85PdSgiknWps6GIiIiIZGlKeEVEREQkS1PCKyIiIiJZmvrwJiBu0vfQ0NAMuV5UVBTh4eGEhoaq76CTUh06P9Whc1P9OT/VofPL6DqMy9OSs1iPEt4EXL9+HYBChQpZHImIiIiIJOX69ev4+/sneYzN0BqW8cTGxnL69Gl8fX0zZD7O0NBQChUqxMmTJ/Hz80v360naUx06P9Whc1P9OT/VofPL6Do0DIPr168TFBR0zwWD1MKbABcXFx588MEMv66fn59+yZ2c6tD5qQ6dm+rP+akOnV9G1uG9WnbjaNCaiIiIiGRpSnhFREREJEtTwpsJeHp6Mnz4cDw9Pa0ORVJJdej8VIfOTfXn/FSHzi8z16EGrYmIiIhIlqYWXhERERHJ0pTwioiIiEiWpoRXRERERLI0JbwiIiIikqUp4c0gU6ZMoWjRonh5eVGzZk3+/vvvJI+fN28eZcuWxcvLi0qVKrFkyZIMilQSk5I6/Prrr6lbty65c+cmd+7cNGrU6J51Lukvpb+HcebMmYPNZqNNmzbpG6AkKaX1d/XqVfr160fBggXx9PSkdOnS+iy1WErr8NNPP6VMmTJ4e3tTqFAhBg4cSERERAZFK3dau3YtLVu2JCgoCJvNxsKFC+/5ntWrV1OtWjU8PT0pWbIkM2bMSPc4E2VIupszZ47h4eFhfPvtt8a///5r9OrVy8iVK5dx7ty5BI/fsGGD4erqanz00UfG3r17jXfeecdwd3c3du/encGRS5yU1mHHjh2NKVOmGNu3bzf27dtndO/e3fD39zf++++/DI5c4qS0DuMcPXrUeOCBB4y6desarVu3zphgJZ6U1l9kZKRRo0YNo3nz5sb69euNo0ePGqtXrzZ27NiRwZFLnJTW4cyZMw1PT09j5syZxtGjR41ly5YZBQsWNAYOHJjBkYthGMaSJUuMoUOHGgsWLDAA45dffkny+CNHjhg+Pj7GoEGDjL179xqfffaZ4erqaixdujRjAr6LEt4M8PDDDxv9+vWzv46JiTGCgoKMMWPGJHh8+/btjRYtWjiU1axZ0+jTp0+6ximJS2kd3i06Otrw9fU1vvvuu/QKUe4hNXUYHR1t1K5d2/jmm2+Mbt26KeG1UErr74svvjCKFy9u3Lp1K6NClHtIaR3269fPaNCggUPZoEGDjDp16qRrnHJvyUl4Bw8ebFSoUMGh7NlnnzWaNGmSjpElTl0a0tmtW7fYunUrjRo1spe5uLjQqFEjNm3alOB7Nm3a5HA8QJMmTRI9XtJXaurwbuHh4URFRZEnT570ClOSkNo6HDVqFAUKFKBnz54ZEaYkIjX1t2jRImrVqkW/fv0ICAigYsWKfPDBB8TExGRU2HKH1NRh7dq12bp1q73bw5EjR1iyZAnNmzfPkJjl/mS2XMbNkqtmIxcvXiQmJoaAgACH8oCAAPbv35/ge86ePZvg8WfPnk23OCVxqanDu7355psEBQXF++WXjJGaOly/fj3Tpk1jx44dGRChJCU19XfkyBH++OMPOnXqxJIlSzh8+DAvvfQSUVFRDB8+PCPCljukpg47duzIxYsXefTRRzEMg+joaPr27cvbb7+dESHLfUoslwkNDeXmzZt4e3tnaDxq4RVJZ2PHjmXOnDn88ssveHl5WR2OJMP169fp0qULX3/9Nfny5bM6HEmF2NhYChQowNSpU6levTrPPvssQ4cO5csvv7Q6NEmm1atX88EHH/D555+zbds2FixYwG+//cZ7771ndWjihNTCm87y5cuHq6sr586dcyg/d+4cgYGBCb4nMDAwRcdL+kpNHcYZN24cY8eOZeXKlVSuXDk9w5QkpLQOQ0JCOHbsGC1btrSXxcbGAuDm5saBAwcoUaJE+gYtdqn5HSxYsCDu7u64urray8qVK8fZs2e5desWHh4e6RqzOEpNHb777rt06dKFF154AYBKlSpx48YNevfuzdChQ3FxUZtdZpZYLuPn55fhrbugFt505+HhQfXq1Vm1apW9LDY2llWrVlGrVq0E31OrVi2H4wFWrFiR6PGSvlJThwAfffQR7733HkuXLqVGjRoZEaokIqV1WLZsWXbv3s2OHTvsW6tWrXj88cfZsWMHhQoVysjws73U/A7WqVOHw4cP2/9QATh48CAFCxZUsmuB1NRheHh4vKQ27g8YwzDSL1hJE5kul7FkqFw2M2fOHMPT09OYMWOGsXfvXqN3795Grly5jLNnzxqGYRhdunQx3nrrLfvxGzZsMNzc3Ixx48YZ+/btM4YPH65pySyW0jocO3as4eHhYcyfP984c+aMfbt+/bpVt5DtpbQO76ZZGqyV0vo7ceKE4evra/Tv3984cOCAsXjxYqNAgQLG6NGjrbqFbC+ldTh8+HDD19fXmD17tnHkyBFj+fLlRokSJYz27dtbdQvZ2vXr143t27cb27dvNwBj/Pjxxvbt243jx48bhmEYb731ltGlSxf78XHTkr3xxhvGvn37jClTpmhasuzgs88+MwoXLmx4eHgYDz/8sLF582b7vvr16xvdunVzOP6nn34ySpcubXh4eBgVKlQwfvvttwyOWO6WkjosUqSIAcTbhg8fnvGBi11Kfw/vpITXeimtv40bNxo1a9Y0PD09jeLFixvvv/++ER0dncFRy51SUodRUVHGiBEjjBIlShheXl5GoUKFjJdeesm4cuVKxgcuxp9//png/2txddatWzejfv368d5TtWpVw8PDwyhevLgxffr0DI87js0w9L2AiIiIiGRd6sMrIiIiIlmaEl4RERERydKU8IqIiIhIlqaEV0RERESyNCW8IiIiIpKlKeEVERERkSxNCa+IiIiIZGlKeEVEREQkS1PCKyKSRaxatYpy5coRExOTbtdYunQpVatWJTY2Nt2uISKS1pTwiohkEYMHD+add97B1dU13a7RtGlT3N3dmTlzZrpdQ0QkrSnhFRHJAtavX09ISAjt2rVL92t1796dSZMmpft1RETSihJeEZFM5tixY9hstnjbY489luh75syZQ+PGjfHy8nIo//XXX3nooYfw8vIiX758tG3b1r6vaNGijB49mq5du5IzZ06KFCnCokWLuHDhAq1btyZnzpxUrlyZLVu2OJyzZcuWbNmyhZCQkDS9bxGR9KKEV0QkkylUqBBnzpyxb9u3bydv3rzUq1cv0fesW7eOGjVqOJT99ttvtG3blubNm7N9+3ZWrVrFww8/7HDMhAkTqFOnDtu3b6dFixZ06dKFrl270rlzZ7Zt20aJEiXo2rUrhmHY31O4cGECAgJYt25d2t64iEg6sRl3foqJiEimEhERwWOPPUb+/Pn53//+h4tLwu0UuXLl4rPPPqNLly72stq1a1O8eHF+/PHHBN9TtGhR6tatyw8//ADA2bNnKViwIO+++y6jRo0CYPPmzdSqVYszZ84QGBhof2+1atVo3bo1w4cPT6tbFRFJN2rhFRHJxHr06MH169eZNWtWoskuwM2bN+N1Z9ixYwcNGzZM8vyVK1e2Pw8ICACgUqVK8crOnz/v8D5vb2/Cw8OTdxMiIhZzszoAERFJ2OjRo1m2bBl///03vr6+SR6bL18+rly54lDm7e19z2u4u7vbn9tstkTL7p6G7PLly+TPn/+e5xcRyQzUwisikgn9/PPPjBo1ip9++okSJUrc8/jg4GD27t3rUFa5cmVWrVqV5rFFREQQEhJCcHBwmp9bROT/2rlfVUWDOAzAv6RgtJlEDAaL1SbHYDcJH3gX8gWDxWsQjCaDzeA1iHxRg81oMBlMhm0Hlt1NHg9nh+eBKQPzJ768MPMOGl6AH+Z4PMZ4PI48z6Pdbsf1eo2IiFKpFNVq9a9rBoNBrFar3+Zms1n0+/1oNpsxGo3i+XzGbreLPM9fut9+v49yuRzdbvelfQC+i4YX4IcpiiIej0fM5/Oo1WqfYzgc/nNNlmVxOp3ifD5/zvV6vdhsNrHdbqPT6cTHx0ccDoeX77deryPLsqhUKi/vBfAd/NIAkIjJZBL3+z2Wy+XbzrjdbtFqtaIoimg0Gm87B+AraXgBEjGdTqNer//xwOwrXS6XWCwWwi7wX9HwAgCQNA0vAABJE3gBAEiawAsAQNIEXgAAkibwAgCQNIEXAICkCbwAACRN4AUAIGkCLwAASfsFu4ELFIiVQpIAAAAASUVORK5CYII=\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Computing for r = 0.0000 m\n", | |
| "Computing for r = 0.0010 m\n", | |
| "Computing for r = 0.0021 m\n", | |
| "Computing for r = 0.0031 m\n", | |
| "Computing for r = 0.0041 m\n", | |
| "Computing for r = 0.0052 m\n", | |
| "Computing for r = 0.0062 m\n", | |
| "Computing for r = 0.0072 m\n", | |
| "Computing for r = 0.0083 m\n", | |
| "Computing for r = 0.0093 m\n", | |
| "Computing for r = 0.0103 m\n", | |
| "Computing for r = 0.0114 m\n", | |
| "Computing for r = 0.0124 m\n", | |
| "Computing for r = 0.0134 m\n", | |
| "Computing for r = 0.0145 m\n", | |
| "Computing for r = 0.0155 m\n", | |
| "Computing for r = 0.0166 m\n", | |
| "Computing for r = 0.0176 m\n", | |
| "Computing for r = 0.0186 m\n", | |
| "Computing for r = 0.0197 m\n", | |
| "Computing for r = 0.0207 m\n", | |
| "Computing for r = 0.0217 m\n", | |
| "Computing for r = 0.0228 m\n", | |
| "Computing for r = 0.0238 m\n", | |
| "Computing for r = 0.0248 m\n", | |
| "Computing for r = 0.0259 m\n", | |
| "Computing for r = 0.0269 m\n", | |
| "Computing for r = 0.0279 m\n", | |
| "Computing for r = 0.0290 m\n", | |
| "Computing for r = 0.0300 m\n" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1000x600 with 2 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ], | |
| "source": [ | |
| "\n", | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from scipy.special import ellipk, ellipe\n", | |
| "from scipy.integrate import quad\n", | |
| "from scipy.optimize import minimize\n", | |
| "from scipy.stats import linregress\n", | |
| "\n", | |
| "# --- Physical Parameters (fixed) ---\n", | |
| "mu0 = 4 * np.pi * 1e-7\n", | |
| "M = 1.0e6 # Magnetization (A/m)\n", | |
| "L_cyl = 0.05 # Length of cylindrical part (fixed)\n", | |
| "R_base = 0.02 # Base radius (2 cm) (fixed)\n", | |
| "\n", | |
| "# --- Radius function R(z) with alpha ---\n", | |
| "def get_radius(z_source, L_cone, R_tip, alpha):\n", | |
| " if -L_cyl <= z_source <= 0:\n", | |
| " return R_base\n", | |
| " elif 0 < z_source <= L_cone:\n", | |
| " return R_base + (R_tip - R_base) * (z_source / L_cone)**alpha\n", | |
| " else:\n", | |
| " return 0\n", | |
| "\n", | |
| "# --- dBz from loop ---\n", | |
| "def dBz_from_loop(z_source, r_obs, z_obs, L_cone, R_tip, alpha):\n", | |
| " R_local = get_radius(z_source, L_cone, R_tip, alpha)\n", | |
| " if R_local <= 0: return 0\n", | |
| "\n", | |
| " dz = z_obs - z_source\n", | |
| " alpha_geom = np.sqrt((R_local + r_obs)**2 + dz**2)\n", | |
| " beta = np.sqrt((R_local - r_obs)**2 + dz**2)\n", | |
| " m = 4 * R_local * r_obs / alpha_geom**2\n", | |
| "\n", | |
| " if m >= 1 or m < 0: return 0\n", | |
| "\n", | |
| " K = ellipk(m)\n", | |
| " E = ellipe(m)\n", | |
| "\n", | |
| " term1 = K\n", | |
| " term2 = (R_local**2 - r_obs**2 - dz**2) / (beta**2 + 1e-12) * E\n", | |
| "\n", | |
| " return (1.0 / alpha_geom) * (term1 + term2)\n", | |
| "\n", | |
| "# --- Bz at multiple z for fixed r ---\n", | |
| "def calculate_Bz_cone(r_obs, z_points, L_cone, R_tip, alpha):\n", | |
| " prefactor = mu0 * M / (2 * np.pi)\n", | |
| " Bz_values = []\n", | |
| " for z in z_points:\n", | |
| " result, _ = quad(dBz_from_loop, -L_cyl, L_cone, args=(r_obs, z, L_cone, R_tip, alpha))\n", | |
| " Bz_values.append(prefactor * result)\n", | |
| " return np.array(Bz_values)\n", | |
| "\n", | |
| "# --- Bz at single (r, z) (for other uses) ---\n", | |
| "def calculate_Bz_single(r_obs, z_obs, L_cone, R_tip, alpha):\n", | |
| " prefactor = mu0 * M / (2 * np.pi)\n", | |
| " result, _ = quad(dBz_from_loop, -L_cyl, L_cone, args=(r_obs, z_obs, L_cone, R_tip, alpha))\n", | |
| " return prefactor * result\n", | |
| "\n", | |
| "# --- Objective function for optimization ---\n", | |
| "def objective(params):\n", | |
| " L_cone, R_tip, alpha = params\n", | |
| " z_obs = L_cone # At the tip\n", | |
| "\n", | |
| " # Define r points for evaluation (from 0 to r_max)\n", | |
| " r_max = 0.005 # Evaluate linearity within 5 mm radius\n", | |
| " r_points = np.linspace(0, r_max, 20)\n", | |
| "\n", | |
| " Bz_values = np.array([calculate_Bz_single(r, z_obs, L_cone, R_tip, alpha) for r in r_points])\n", | |
| "\n", | |
| " # Fit to quadratic: Bz = slope * r^2 + intercept\n", | |
| " r2 = r_points**2\n", | |
| " slope, intercept, r_value, p_value, std_err = linregress(r2, Bz_values)\n", | |
| "\n", | |
| " # Compute RMSE from the fit\n", | |
| " Bz_pred = slope * r2 + intercept\n", | |
| " rmse = np.sqrt(np.mean((Bz_values - Bz_pred)**2))\n", | |
| "\n", | |
| " return rmse\n", | |
| "\n", | |
| "# --- Run optimization ---\n", | |
| "initial_guess = [0.05, 0.002, 2.0] # Initial L_cone, R_tip, alpha\n", | |
| "bounds = [(0.01, 0.1), (0.001, 0.01), (1.0, 10.0)] # Bounds\n", | |
| "\n", | |
| "res = minimize(objective, initial_guess, method='Nelder-Mead', bounds=bounds)\n", | |
| "\n", | |
| "optimal_L_cone, optimal_R_tip, optimal_alpha = res.x\n", | |
| "print(f\"Optimal L_cone: {optimal_L_cone:.4f} m\")\n", | |
| "print(f\"Optimal R_tip: {optimal_R_tip:.4f} m\")\n", | |
| "print(f\"Optimal alpha: {optimal_alpha:.4f}\")\n", | |
| "print(f\"Minimized RMSE: {res.fun:.6f} T\")\n", | |
| "\n", | |
| "# --- Plot Bz(r) at z = L_cone with optimal params ---\n", | |
| "r_max = 0.005\n", | |
| "r_points_plot = np.linspace(0, r_max, 50)\n", | |
| "Bz_optimal = np.array([calculate_Bz_single(r, optimal_L_cone, optimal_L_cone, optimal_R_tip, optimal_alpha) for r in r_points_plot])\n", | |
| "\n", | |
| "# Quadratic fit\n", | |
| "r2 = r_points_plot**2\n", | |
| "slope, intercept, r_value, p_value, std_err = linregress(r2, Bz_optimal)\n", | |
| "Bz_pred = slope * r2 + intercept\n", | |
| "\n", | |
| "plt.figure(figsize=(8, 5))\n", | |
| "plt.plot(r_points_plot * 1000, Bz_optimal, 'b-', label='Computed B_z(r)')\n", | |
| "plt.plot(r_points_plot * 1000, Bz_pred, 'r--', label='Quadratic Fit')\n", | |
| "plt.xlabel('Radial Position r (mm)')\n", | |
| "plt.ylabel('B_z (Tesla)')\n", | |
| "plt.title(f'B_z(r) at z = L_cone ({optimal_L_cone*100:.1f} cm, alpha={optimal_alpha:.2f})')\n", | |
| "plt.legend()\n", | |
| "plt.grid(True)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "# --- Plot the optimal shape R(z) ---\n", | |
| "z_cone = np.linspace(0, optimal_L_cone, 100)\n", | |
| "R_shape = R_base + (optimal_R_tip - R_base) * (z_cone / optimal_L_cone)**optimal_alpha\n", | |
| "R_linear = R_base + (optimal_R_tip - R_base) * (z_cone / optimal_L_cone)\n", | |
| "\n", | |
| "plt.figure(figsize=(8, 5))\n", | |
| "plt.plot(z_cone * 100, R_shape * 1000, 'b-', label=f'Optimal Nonlinear (alpha={optimal_alpha:.2f})')\n", | |
| "plt.plot(z_cone * 100, R_linear * 1000, 'r--', label='Linear (alpha=1)')\n", | |
| "plt.xlabel('z (cm)')\n", | |
| "plt.ylabel('R(z) (mm)')\n", | |
| "plt.title('Optimal Cone Shape')\n", | |
| "plt.legend()\n", | |
| "plt.grid(True)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "# --- Full 2D Field Map with optimal params ---\n", | |
| "r_points = np.linspace(0, R_base * 1.5, 30) # Reduced resolution for speed; increase as needed\n", | |
| "z_points_2d = np.linspace(-L_cyl * 1.2, optimal_L_cone * 1.5, 60) # Reduced for speed\n", | |
| "\n", | |
| "Bz_grid = np.zeros((len(r_points), len(z_points_2d)))\n", | |
| "\n", | |
| "for i, r in enumerate(r_points):\n", | |
| " print(f\"Computing for r = {r:.4f} m\") # Progress indicator\n", | |
| " Bz_grid[i, :] = calculate_Bz_cone(r, z_points_2d, optimal_L_cone, optimal_R_tip, optimal_alpha)\n", | |
| "\n", | |
| "# For symmetry across r = 0\n", | |
| "r_full = np.concatenate((-r_points[::-1][:-1], r_points))\n", | |
| "Bz_full = np.concatenate((Bz_grid[::-1][:-1], Bz_grid), axis=0)\n", | |
| "\n", | |
| "# Create meshgrid for plotting\n", | |
| "Z, R = np.meshgrid(z_points_2d * 100, r_full * 100) # Convert to cm\n", | |
| "\n", | |
| "plt.figure(figsize=(10, 6))\n", | |
| "plt.contourf(Z, R, Bz_full, levels=50, cmap='jet') # 'jet' for blue-green-yellow-red gradient\n", | |
| "cbar = plt.colorbar()\n", | |
| "cbar.set_label('Magnetic Field $B_z$ (Tesla)')\n", | |
| "\n", | |
| "# Overlay the magnet geometry outline\n", | |
| "z_cyl = np.linspace(-L_cyl, 0, 100)\n", | |
| "z_cone = np.linspace(0, optimal_L_cone, 100)\n", | |
| "r_cone = R_base + (optimal_R_tip - R_base) * (z_cone / optimal_L_cone)**optimal_alpha\n", | |
| "\n", | |
| "plt.plot(z_cyl * 100, np.ones_like(z_cyl) * R_base * 100, 'k-', linewidth=2)\n", | |
| "plt.plot(z_cone * 100, r_cone * 100, 'k-', linewidth=2)\n", | |
| "plt.plot(z_cyl * 100, -np.ones_like(z_cyl) * R_base * 100, 'k-', linewidth=2)\n", | |
| "plt.plot(z_cone * 100, -r_cone * 100, 'k-', linewidth=2)\n", | |
| "\n", | |
| "# Close the ends\n", | |
| "plt.plot([-L_cyl * 100, -L_cyl * 100], [-R_base * 100, R_base * 100], 'k-', linewidth=2)\n", | |
| "plt.plot([optimal_L_cone * 100, optimal_L_cone * 100], [-optimal_R_tip * 100, optimal_R_tip * 100], 'k-', linewidth=2)\n", | |
| "\n", | |
| "plt.xlabel('Axial Position z (cm)')\n", | |
| "plt.ylabel('Radial Position r (cm)')\n", | |
| "plt.title('2D Heatmap of Axial Magnetic Field $B_z$ for Optimal Cone Shape')\n", | |
| "plt.grid(True, alpha=0.3)\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()" | |
| ] | |
| } | |
| ] | |
| } |
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