From 7b9eb8a5ae0230f0a8488cbd954c5b596d2745d6 Mon Sep 17 00:00:00 2001 From: philcarmona <47579183+philcarmona@users.noreply.github.com> Date: Thu, 15 Oct 2020 16:59:09 +0200 Subject: [PATCH] Add files via upload --- IndicateurP.ipynb | 381 ++++++++++++++++++++++++++++++++++++++++++++++ pindicator.py | 147 ++++++++++++++++++ 2 files changed, 528 insertions(+) create mode 100644 IndicateurP.ipynb create mode 100644 pindicator.py diff --git a/IndicateurP.ipynb b/IndicateurP.ipynb new file mode 100644 index 0000000..f06a7c6 --- /dev/null +++ b/IndicateurP.ipynb @@ -0,0 +1,381 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib.gridspec as gridspec\n", + "import pandas as pd\n", + "from scipy.integrate import odeint,quad\n", + "from scipy.stats import kde,beta\n", + "import seaborn as sns\n", + "%matplotlib inline\n", + "from importlib import reload\n", + "pi=np.pi\n", + "\n", + "#mardi 31 mars 2020\n", + "#essayons tout d'abord d'écrire des fonctions qui calculent le rayon spectral\n", + "#et l'abcisse de convergence d'une matrice\n", + "\n", + "from numpy import linalg as LA\n", + "from scipy.linalg import expm\n", + "from scipy.optimize import brentq\n", + "import ucovid\n", + "\n", + "sns.set()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "import pindicator\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0543855178802293" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reload(pindicator)\n", + "\n", + "pindicator.pindic(pindicator.genAH,T=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1. , 1.00002362, 1.00009438, 1.00021214, 1.00037674,\n", + " 1.00058804, 1.00084591, 1.0011502 , 1.00150078, 1.00189752,\n", + " 1.00234028, 1.00282894, 1.00336338, 1.00394346, 1.00456909,\n", + " 1.00524012, 1.00595646, 1.00671798, 1.00752458, 1.00837614,\n", + " 1.00927258, 1.01021377, 1.01119962, 1.01223003, 1.0133049 ,\n", + " 1.01442415, 1.01558767, 1.01679539, 1.0180472 , 1.01934302,\n", + " 1.02068276, 1.02206636, 1.02349371, 1.02496475, 1.02647941,\n", + " 1.02803759, 1.02963925, 1.03128429, 1.03297264, 1.03470425,\n", + " 1.03647906, 1.03829698, 1.04015796, 1.04206194, 1.04400886,\n", + " 1.04599866, 1.04803128, 1.05010666, 1.05222476, 1.05438552])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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"metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([pindicator.genbaca(e=1,t=t)[1,0] for t in np.linspace(0,1,10)])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "azero= [[-2. 2.]\n", + " [ 1. -1.]]\n", + "P= 1.0 sommes : xi= 54.95130085448927 xmi= 53.94489622208376 1.0\n", + "P= 0.9816855175991109 sommes : xi= 54.50792158456052 xmi= 109.01584316912104 2.0\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.9862409160203582, 0.9816855175991109)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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dDy8kJiGEzEsT2Zt/gpL9NW3voFKp2qXdbfjr1p2exOeNN95ovR4REcGmTZvOenx2djZLly69yPD6B4fdzTef7yciysz4KcmBDqdPyJ6SxNHDdXyzej/R8cGYzLpAh6RS9Xnq1ArdTFEUvl19AJfLyw/m9t2FTHqaJIn8YO4IPC4v336+X+2qqVJ1ATX7dLNDe6sp2V/DhKnJRFjNgQ6nTwmPNDNhWgqlB2vVRVNUfdKvfvUz5s+/jq+/Xtt6X07OVv7rv+4NSDxqwu9GDruHDV8exBoTxNgJgwIdTp80ZnwCUXFBbFp7UJ1KWdUn/e53j3DFFdORZZn333+XxYv/gM/nC0gsasLvRpu+Oojb6eWKWcMG7NQJF0sUBa6YORy328emtQcDHY5KdV4ffvgBv/rVz1AUhby83SxYcD0Oh6N1e2lpCUeOlPC73/0hYDGqs2V2k9KDtRwoqiJ7ShIRUecfCKFqW7jVTPakJLZvKCV1ZA0pwyLb3kk14Gw7nsuW4znd8twTY8dzSey4Cz7mppvms3791yxd+hEfffQBDz+8mNdff7l1++DBQ1i06I/s3LmjW2JsD7WG3w3cLi/r1+wn3Goma2JioMPpFzIuHURklIX1XxzA5VQHZKl6n1PTI7/88t+YPHla6/TIvYlaw+8GORtKaWl2M+P6dCRJ/U7tCpIkctnMYXz8r51sX1/C1KuHBjokVS9zSey4Nmvh3e1c0yP3Jmo26mLVJ5opyC0nLTN2wKxe1VOiYoMYlRVH4c4Kqo43BTocleoMXTE9cndTE34XkmWF9WsOYDBpufSywYEOp1+aMC0Fk0XHt6sPIPv69qRZqv6lK6ZH7m5qk04XKt5VQdXxZqbPG4neoP5ru4PeoGHK9FS+WFZMzqZSBo+0BjoklQqABx88vfpfTEwsK1as4Ve/+tlZj8vKyiYrK7snQ2ul1vC7iL3Fzbb1JSQkh5GqJqFuNXh4JImDw/l69T5abK5Ah6NSXdBTTz1xxsCrQFKroV1k2zcleD0yU65KVac97maCIDDlqlT+8+YOtn5dwg/mjgh0SCrVOb344uuBDuEMag2/C5wob2JvwQnGTkggLMIU6HAGhJAwIxOvGMz+okqOl6nLZ6pU7aEm/IskywobvzyA2aJj3KS+vdRaXzPlylQswXo2fHmgUyujqVQDjZrwL9Le/ONUn7Ax8cohaHXqql49SafXMOnKIdRWtVC8u3f1hlCpeiM14V8El9PDtm9LiB0Uop6oDZDBwyOJTwpl+/pSnA5PoMNRqXq1diV8m83GnDlzOHbs2FnbXnzxRa644gquvfZarr32Wt577z0AKioquP3227nmmmu49957aWlp6drIe4Edm47gdHiZMl09URsogiAweXoqbpeXHRuPBDoclapXazPh5+Xlceutt1JaWnrO7YWFhTz33HMsX76c5cuXc/vttwPw2GOPcdttt7F69WpGjRrFyy+/fM79+6qGOjuFuRWMHBtLZLQ6OVogRVjNpGXEUbiznPqa/lexUPVv//jHa8ybN4NXXnmh9b6qqiquvXZGlx+rzYS/ZMkSFi9eTFRU1Dm3FxYW8tprrzF37lwef/xxXC4XHo+HnJwcZszwB3zDDTewevXqro08wDavO4ykEZkwLTnQoaiA8VOT0OokNq87HOhQVKoOu/baG7j33l8DsGXLRu6772fU1tZ2+XHa7If/5JNPnndbS0sLI0eOZOHChSQlJbFo0SJefvllbr/9diwWCxqN/+mtViuVlZUdDi4iovM1Z6s1qNP7tuXw/mqOHKzlB7NHkJQc0W3H6ajuLHNv9d0yX3b1ML78dA+NtQ5SR5y7gtIfDPTX+buqqkQ0J5cNbdi0kYb167vl+KHTphE6ecoFH/Of/7zPN998xcsvv0Fe3m6eeOJRLBYLGRlZ5OfvxuVycd99/8WSJf+mpKSEBQtu49Zbf9i6VsapcqxcuYI///kZbr/9ltb7zkcUxQ69Hy5q4JXZbD5jQfM777yThx9+mNtuu+2sNu3OtHHX1to61d3Oag2iurq5w/u1hywrrPqkkKAQA4NHWrvtOB3VnWXurb5f5pQRkYRsNPL5J4Xccld2v1x0Rn2dzyTLMl6vf04l2ad02wyVsk9pPc753HDDLXzzzTo+/HDJGfPhy7LM66//i3/+83WeffYp/vWvD2hoqOcnP7mNm2++rTXHnXr+J554ujXRt3VMWZbP+N+IonDBivJFJfyKigo2b97MTTfdBPgX7NZoNISHh9Pc3IzP50OSJKqrq8/bJNTX7Cs4QV11C1dfl9bmt6+qZ0mSyMQrBrP6kyL25B0nPTMu0CGpelDwpMkET5ocsOOfmg//jjvmc/31N7fOh3/ppf6YYmJiSU8fjcFgICYmFput57+4LypjGQwG/vKXv1BWVoaiKLz33ntcddVVaLVasrOzWbVqFQDLli1j2rRpXRJwIHncPrZvKCU6LojBw9VVl3qj5KERxCQEk7OxFLdLXShF1bPONR/+qaZtAEkK7FidTiX8e+65h4KCAsLDw3n88ce59957ueaaa1AUhZ/+9KcALF68mCVLljBr1ix27NjBb37zmy4NPBDyco5ht7mZeOUQtRtmLyUIAhOvGIKjxUPe9rO7EatU3aUvzIff7iaddevWtV7/brv9jBkzWnvjfFd8fDzvvPPORYbXe9hb3OzeVkbKsEhiE0ICHY7qAmLigxkywsru7WWkZcZitugDHZJqAPj+fPg/+9lP0Gq1gQ7rDOpsme2Us7EUn1fm0stTAh2Kqh0uuSyFkv015Gw4wuUzhwU6HNUAcK758L9r1qy5zJo1t/X2xo0XXsy8re2doZ51bIf6Wjt7dh8nLSOW0HB1Nsy+ICTMSHpWHHvzj6uDsVS93vLln5wx8Kq7qAm/HbavL0HSiIybrM6G2ZeMm5SERiuxbX1poENRqc7rrrt+zooVa1oHXnUnNeG3oep4E4f31TB2wiBMZl2gw1F1gNGkJeOSQZTsr6GyQl30XKVSE34btn5TgsGoJWNCQqBDUXXC2PEJGE1atn5zuNsG5ahUfYWa8C+grKSO8iMNZE1KRKdXz2/3RVqdxLjJSVQcbaSspD7Q4ahUAaUm/PNQFIVt35YQFKxnlDpis09Ly4glONTAtm9K1Fq+akBTE/55HN5XQ/UJG9lTk5HUKRT6NEkSGT81mZoqG4f2Vgc6HNUA9D//89/U1FRTXFzIyy//HYC9e4t5+eW/9WgcaiY7B1lW2L6hlLAIE8PSowMdjqoLDE2LItxqZvuGUnX9W1WP2rRpA1ZrFJGRVkpLS6ivrwNgxIg0KisrOXToYI/Foib8c9hfVElDrZ3xU5P75YyLA5EgCEyYmkxjnYN9BScCHY6qH/J6vTz11BP8/Oc/5eabr+X3v/9/uFxO/v3vt5k5cw7Nzc28+earbNy4nn/96x8AXH31TN5/v+dmJFDPRH6PzyezY+MRIqMt6gRp/Uzy0AiiYoPYsekIw9Kj1aa6fmZfwQn25nfPl/mIMTEMHx1zwccUFuaj0Wh57bX/Q5Zl7r//F2zZsomysqMkJSUDcPfdv2DXrlx+/OO7AMjIyOSJJxajKEqPzM+lJvzv2ZN3guZGJ1OvHqVOkNbPCILAhGnJfPafAorzjjN6XHygQ1L1IxkZWQQHh/Dxx0s4erSUY8fKOHz4EJGR5684ms0WFEWhsbGR0NDQbo9RTfjf4fX4yN18hJiEYBIHhwc6HFU3SEgOI25QCLmbjzBidAxaXWCnq1V1neGj266Fd6eNG7/lzTdf4+abFzBr1jwaGhowGIxI0oXTrEYj9VjTsfqb9juKdlVgt7m5ZFqKWrvvpwRBYMJlKThaPBTuqgh0OKp+ZMeO7Vx55XRmz56HxWJh165cBEGgqur08q6SJOHz+Vpv2+3+eZ6Cg3tmBl414Z/kcfvYubWM+KRQ4hK7/6eVKnBiE0IYlBLG7q1H1UVSVF1m7tzrWbt2DXfcMZ8//nERo0ePobm5ifj4BEpKDgMwcmQ6RUUFrROl7dq1k0mTpvZYjO1q0rHZbCxYsIBXX32VhIQzpxhYu3YtL7zwAoqikJCQwJ/+9CdCQkJYunQpzz77LBER/kW+L7/8ch544IGuL0EXKcgtx2n3MGFacqBDUfWA8VOT+eTtXRTkljNukjopnuriDRmSyttv/+es+zdu/JaVK1fwq1/9hsTEJP7zn2Wt21auXMFdd/28x2Jss4afl5fHrbfeSmlp6VnbbDYbjz76KK+//jorVqxg+PDhvPCC/5ursLCQRYsWsXz5cpYvX96rk73b5WX3tjISB4cTE68ubjIQRMcFk5Qawe5tx3A51Vq+qvtMmXIZNTXV1NScOehvz54iYmNjGTIktcdiaTPhL1myhMWLF59zEXKPx8PixYuJjvYPTho+fDjHjx8HoKCggKVLlzJ37lwefPBBGhsbuzj0rpO/oxyX08v4qcmBDkXVg8ZPScLt8pKfoy6FqOpejz76JJGR1jPuGzkynV//+rc9GkebTTpPPvnkebeFhYVx1VVXAeB0Onn99df50Y9+BIDVauXOO+8kKyuL5557jscff5xnn322i8LuOi6nl7ztZSSn+vtoq/ovRVGQHQ7klhZ89hbMDgeJ0Rryth4hyXsEHV4UjxdFkUFWQJFBEEEUECQJQaNB0OoQdTpEgwHRYEQ0GhDNFiSLGVGrTp+t6t26pFtmc3Mz9913HyNGjOD6668H4KWXXmrdfvfdd7d+MXRERISl0zFZre1L3t+s3ofb5ePqeWnt3qe36uvxd8apMis+H66aGpyVVbgqK3HV1uGqrsFdV4envgF3QwOexkaQ5TP2j9WFcjTxenI/z2NI3c6LikU0GNCFhqANC0MXGoouMhK9NRJ9ZCSG6CgMsTFozOaLOgYM7Nf5+6qqRCRJ6Je96jRtDAxUFBlJEjv0frjohF9VVcVdd93FpZdeysMPPwz4vwA+/vhjfvKTn5wMTEGSOt7fubbW1ql5T6zWIKqrm9t8nMvpYev6w6QMi0TSie3ap7dqb5n7Op/djruiHFdFOZqGGhpLy3CfOIGntga+090NQUAKDkYTGoYmJARj/CCCgoORLBZEsxnJZEY0GhENBqq21HFMm8nUB3+I0aJHECUQBP9FUVBkGXw+FK8X2eNGcXuQnQ5kpxPZ4cDX0oLP1ozPZsPX1Ii3sRFXyRE8O3ehuFxnxC9aLOiiY9DFxqKLiUUXF48+IQFNWHi7ktZAeZ2/60JlFkUNjY0NmM3B/SrpazQiXq98zm2KouDzeWlurkeS9Gf8b0RRuGBF+aISvs/n4xe/+AUzZ87kl7/8Zev9JpOJN998k8zMTMaOHcu7777bqRp+d8vLKcft8jF+itpLo7dRFAVvXS3O0lJcR4/gKjuK61gZ3rq61seIOh3a6Gj0iYkEZY9Ha7WitUahjYhEExaGoGnf23u8OYqSf+ygaE8jl1zWdYvUK4qCbLfjqa3BU12Np7oKT1UV7hPHacnPo2njhtNlMZnQJwxCn5SMITEJfVIyupgYBFHtOX0hYWFW6uursdkaAh1KlxJFEVk+d8L3b5cwGi1YLB3rZNKphH/PPfdw//33c+LECYqLi/H5fKxZ41+hfdSoUTz55JM8//zzPProozidTpKTk3n66ac7c6hu43J6KNhxjMHDI4mI6nzTkapr+OwtOA8fxnn4EI7Dh3GVluCznay5iCK6mFiMQ4ehTxjkrxXHxRM7Ipma2otfoDzCambICCsFueWMOblCVlcQBAHJbEYymzEknl2p8LW0+H+tHCvDdewYrrKjNH6zjgaPBwDRaMSQnIJh8BCMqUMxDBkCDLzmnAuRJA2RkbGBDqPLddcvOUHpxStCdGeTzvb1JeRuPsotd47rFwm/r/3U99TV4ti3D8fB/TgOHsRdfrKnjCCgi43DkDIYQ3Iy+qQU9IMSznlCtCvLXFfdwn/+sYPMiYO49LLBXfKcnaH4fLhPHMdZUoKz5DDOksO4jpX5zz0IAqbEQeiGDMU4bATG4cPRBAUHLNae0tfe212hs2Xu1iadvsrp8FCQW67W7nuQp74ex9492PfuwbFvL56TfZJFoxHD4CEEZY/HmDoUfXIKktHY4/GFW9b9X18AACAASURBVM2kjrRSsKOcseMHdVktv6MESUIfn4A+PoGQKf4RmLLTibPkMI6DB/CWHqJx4wYa1n0FgC5hEKaRaf7L8BGIen1A4lb1DQMy4efnHMPt8pE9WW277y4+hwPHvr3YiwtpKS7Cc8I/ba1oNmMaNoLQ6VdhHDYcfcKgXtNOPW5yEgf3VJOXUxbQWv73iQZDa1K3WoOoOl6P80gp9r17sO8ppvHrr2j4cg2CRoMhdSjm9NGYx4xBFxffr05kqi7egEv4Lqdau+8OiqLgKjuKvbCAlsICHIcOgs+HoNNhHDackKmXYRqZ1qsS/PeFR/pr+YW5FWRMGITBGJhaflsEjQbjkFSMQ1KJmD0X2e3GcfAA9qJCWooKqfl4CTUfL0ETHo551BjMYzMwjUxD1KnjBAa6AZfwT/XMUWv3F092OmgpKqKlII+WggJ8jf6eEvrEJMJnzMSUlo5hSCqitncmznMZN+lULf8Yl0zruh473UnU6TCnpWNOS8d683w89fXYC/NpKcinadtWGtd/g6DTYRqZhiUjE/PYTDTB/b/tX3W2AZXwXU4vBTuOkTJMrd13lqe6Glveblryd2Pftxd8PkSjEVP6aMyjR2MeNRpNSN+dbTT8VI+dHeWMHZ/Qa2v5F6INCyNk6mWETL0M2ePBsX8fLXm7seXtoiVvNwhvYUwdiiUzC0vmOLRWa9tPquoXBlTCz9+htt13lKIouEpLsO3ehW33rtbeNLqYWMKmX415zFiMqUMROjGwrrcaNymRQ3uryc85xoQ+Uss/H1GrxZw+CnP6KKy33o6r7Cgtu3dh25VL9ZIPqF7yAfpBiVjGZROUPR5dTP/r4qg6bcAkfJfTS35OOclDI4iMVmv3F6J4vdj37cW2eyctu3fhra8HUcSYOhTrLQswj81AFx24lYW6W0SUfz3jgtxyxk5IQG/oe7X8cxEEAUNiEobEJCLmXYe7ugrbzlxsuTuoXfYJtcs+QRefQFD2eH/yj40LdMiqLjZgEn5hbjlul1et3Z+H7HLRUlSIbecOWvLzkO12BJ0O86jRWK7PwjxmLJJl4HxRZk9O4vC+GvJ3lDN+SnKgw+kWOmsU4TNmEj5jJp66upPJP4faFcuoXb7Un/zHTyBo/IR+/QU/kAyIhO92ecnLOUZSagTWGHWk4ik+u52WgjxsuTtoKSxAcbsRzWYsGZlYMsdhSh81YHt2RERZSBkWSX5OOWOyE9Ab+vdHRRseTtj0qwibfhWe+npsuTto3rG9teavT0wiaPwlBI0fjzZSbfPvq/r3u/ikwp0VuJxesicnBjqUgPM1N2PbvZPm3Fzse4rA50MKCSV48lSCssZhHDa8X7XHX4xxkxIp2V9DYW454wbQL0NtWNjp5F9Xi23HDppztrV29zQMHkLQhEsJyh6PJrTvnqAfiPp9wve4feRtP0bi4HCiYgdmVzRvQz22nbk078zFsW8vKAraSCth06/CkpWNIWVwr+0bH0jWmCCSUiPIyznG6Ox4dPp+/3E5izY8grCrZxB29Qx/m3/OdppztlH9wXtU/+ffGIePIGjCJQRlZQ+oJr++qt+/g4t2VeB0eBg3wGr3nupqbLtyac7dgfPwIVAUdDGxhM+ag2VcNvpBieoozHbInpzIx//aReHOCrImDqz30PfprFGEz5pD+Kw5uCoqaM7ZRvP2rVS9/RZV772DOX0UQRMuwZKRhWgwBDpc1Tn064Tv8fjYva2MhOSwfr9WraIouCrK/SfedubiOnoEAP2gRCKuvR5LVjb6OLXXRUdFxQaTODicvO3HGD0uHq1Obe4C0MfFob/2eiLmXYfr6BGat2+left2WvLz/Cf7x4wlaPwlmEePGbDngXqjfp3wi3cfx2Hvv7V7RVFwlpTQsnsnZXk7cZRXAGAYkkrkzfOxZI1DZz17LWJVx4ybnMTSd3ZRuKuCzEsGBTqcXkUQBAxJyRiSkom88Rachw7StH0rth052HbkIBoMmDOz/Mk/Lb3daxSouke//e97vTK7t5URlxhC3KD+c2JJ8Xqx79+HbdepPvJ1IEmEpKcRdPl0LJmZaELDztpPdjQh15cjN1WhNFUj22pRXC0orhZw2/3ruJ6cKVvQ6BF0RtAZEU2hCJYIREsEYmgsYng8gmZgzcgYEx9MQnIoedvKGJUVh1ar1vLPRRBFjEOHYRw6jKgFt2Pfu4fmnG3+80dbNiOazFiyxhE0fgKmESPVzgEB0G8T/t6849htbqbPHRHoUC6az26npTCflt27aSnIQ3Y4/HOjpI8i8oYbMY/JICY5pnX+bEX2IleX4j2+F9+JA8i1R1Fa6k8/oSAimMMQDEEIejOCOQxEjX9JPxTwuFA8TpSWBrzVJSiOpu9EIyCERCFFDUGKHY4mZhhCSEy/Px8wbnISy9/LY8/u44wZnxDocHo9QZJaR/jKt9+BvbjIn/x3bKdp43pEi4WgrHFYxo1Xk38PalfCt9lsLFiwgFdffZWEhDPf7Hv27OEPf/gDLS0tZGdn89hjj6HRaKioqGDhwoXU1taSkpLCM888g7kLFnBuD6/Xx86tZcQkBBOX2Ddr9+6qKlrydtGSn4d9/z5/98mgICxZ2Vgys/yzH35n7nOfvQnPvo14j+zCe6wIvP61VMXQWKTYEUiRiYjhgxCDoxEs4f51W9tJ8bpRbLX46suRa8uQ68rwlRXgPbAZFyBYItAkZqBJykCKG4kg9b96RNygUOIGhbB7WxlpmXFtLjCtOk3UarGMzcAyNgPZ7cZeVEBzTs7Jid2+RbRYsGRmETQuG9OINLXZpxu1ueJVXl4ejzzyCCUlJaxevfqshD9nzhyeeOIJMjIyePjhhxk1ahS33XYbP//5z5k3bx6zZ8/mpZdewm63s3Dhwg4F19kVr44erGPlRwXMmT+aQSnhHd4/EBSvF8eB/bTk52EryGudP14XG4d5bAaWsZkYhgw5o/uk4nHhLc3Fc2AzvvJiUGQEcxiaxLFI8WlIMcMRTd1zslpRFOTG4/gq9uE9muc/vs+NoLegGTIB7dBJiFFDurXm39MrIR0rrefTD/KZenUqo7Lie+y439WfVn+S3W5aCguw5ebQkrcb2elENBr97/fMcZhHjUbU6/tVmdsrYCteLVmyhMWLF/PQQw+dta28vByn00lGRgYAN9xwA3//+9+5+eabycnJ4aWXXmq9/4c//GGHE35n+Hwym9YdJCouiITks9uyexN3dRX2wkJaigqw7ylGcbn8c50PH0Ho5VdiHpOBLursk66+2jI8RWvxHNwKXhdCUCShE6/DHT0GMTKpR5pXBEFACo1DCo1Dl3YFiteNr7wIz8GtePZtwFO8DjEsDm3alWiHTvafE+jj4pNCiUkIZtfWMkaOjUWS1Fr+xRB1OoKyxhGUNQ7Z48ZeXOzvZbZ7J81btyBotZjS0pGnTkROGYEmpH/3tDvF7fLSXSvPtpnwn3zyyfNuq6qqwvqdqVWtViuVlZXU19djsVjQnPxpdur+nlB9opmGOgezbh7V69qVfTYb9n17sBcXYS8uwlPtX+ZPExlJ8MTJmEeNPqup5hRFkfEe2YUnfw2+E/tB0qFNvQTNsClIMUMJjwoJaC1I0OjQJGWiScpEcTvwHs7BXbwO16Z3cW3/CO2Iy9CNuQbR3Lu/hC9EEATGTUpi5ZIC9hVUkpahzizZVUStrrXZR/H9BMeB/dh27cS2aycHX9wNgoAhJQXzmAzMY8b223EkToeH91/P4QezR5CY2vWtExfVWCbL8hn/dEVREASh9e93debFudBPkwvtE/X/gomOC/yoWq+thabiYhoLi2gsKKSlpBQUBcloJGT0KEKvn0fI2LEY4+PO+/9RfF5sxRtp2LwUT80xNKFRhP/gxwSNvQLJeOa8QFZrb5knKAjiZ6NMmYWr4gBNOz7HVvglnuKvCBpzBaGTbkAb2jXdRXu6zJGRFnZtLSNv+zGmXJkakFp+73mdu1HMBJg6AUVRsJceoW57DnXbc07P6hkeTmhWJmFZGYSOHYOmn4zy/Xr1PpwODwnJYd3yOl9Uwo+JiaH6ZC0VoKamhqioKMLDw2lubsbn8yFJEtXV1USdo2miLZ1tw4+OC+7x2q6iKHjr63AcPIDjwAGcBw/gOlYGiuJfa3RIKhHXXo9pxEgMySmtJ6ZagJYa2zmeT8Z7OAdXzicoTZWIYQkYrvwFmsHj8YgSdTbAdrqMvbadUxeLMOlOzKPm4s5bRXPe1zTnrUObdiW6zLmIxs5/MQeqzGMnJPD5R4Vs/uYQI8b07CySvfZ17kbWlGTslgjirrwGb2Ojv8dafh41mzZTtfark7X/wZjS0jCNTMcweEifWmXtFJfTy7b1h0kZFkl0bOdy2EW34V9IfHw8er2e3Nxcxo0bx/Lly5k2bRparZbs7GxWrVrF3LlzWbZsGdOmTbuYQ/U6PocD15FSnKUlOEsO4zh0EF+Df4k/Qa/HODiViHnXYRw2HMPgwYja9o829B4rwrVtCXLtEcSwBPRX348mKQNB6LttxmKwFcPUH6PLmoc7dxmeoq/w7NuAbuwsdGOuQdD0ndGYSUPCiYy2sHPLUYaNikYU+1/TQm+lCQkhZPJUQiZPRfH5cJYcpqUwH3txMXUrP6Pus0/96ygPGYpx+HBMw0egT07u0OcvUApyu3/51U4l/HvuuYf777+f0aNH88wzz/DII49gs9lIT0/njjvuAGDx4sUsWrSIV155hdjYWJ577rkuDbyn+Gvu9bgrjuEqK8N19AjOsqN4KitbByppI62Yho/AMHgIxiGp/vbFTvQrlpuqcG15H++RXQhBVgxX/AzNkEv71cRmojkMw7Sfoh0zA/f2j3Hv+ATPvg0YJt2GlJjRJ9plT7Xlr1laxME9VQxLjw50SAOSIEkYU4diTB0K192Iz96CY99e7Pv2Yt+719/8g3/Rd0PKYAwnF343DB7c65bhdLu85J+cwr07F2hqs1tmIHW2SaczP3tltxtPdTWe6ircJ477L8eP464oR3Y4Wh+niYxEnzDIP5w8JQV9UjKaoIs7X6B43bh3fYo773OQNOgy56IbfTWC1P6fpX31p763vBjXpneRGyqQEsdimHIHoiWiXfsGssyKorDkn7nIssL8u7J7rJbfV1/ni9HZMvtsNhwH9uM4uN/fzHqkFHw+ADQRERiSUzAkJaNPSkY/KDGgC7vv3HKUbd+WcOOPM4mKDQ5ct8y+TvH58Nls/ktzE97GRnyNDXgbG/DW1eGpq8NTW9PaHHOKFByMLiaWoEsmoo+PRxcXjz5hEFIXDx7zlhfj3PAvlKZKNKkT0V9yS5/uydJRmvg0pJsex1P4Ja4dS2n58A/oL7kF7cjLe3UTlr+Wn8iXy/dweF81qSPVOYt6G+nkgC5LZhbgr9S5jh7BefgQjsOHcR0pxZa74/TjQ0LQJwzyf9Zj49DFxaGLjkG0WLr1l2dPTuHe7xK+p7aGvKeewFlTi8/uQHE5z/k4QaNBExGBNjwCc9ootFYr2qgotNYodDExSKbuHRWsuO04N7+Pd/8GhOBojLMfQhOf1q3H7K0EUYNuzEw0ydk4N7yFa+PbeA9tw3D53YhBvXd1pcHDrYRFHCF381GGjLD2ieaogUzU6VqbgE5VqXwtLbiOHvE31x47iuvYMRq//RrF7T69n8mENioabaQVbWQk2ohINGFhaMLD0YSGIVksF9Xs2pNTuPe7Jh1vUxO2VctwOj2IRhOS0YhksSBZgpCCgpCCQ9CEhiKaTAH7gHqPFeL89p8o9nr/Scusay/6pGV/+amvKArefRtwbvk3AIbJP0IzdNI5X6veUOb9RZV89eleZlyfxuDh3f/l1BvK3NN6usyKLOOprcF9vAJPZSXuqko8lZV4amrw1Na0Ngu1EoTT+cVsRjSZkExmBIMBUa9H1OsRNFoEjeQ/tyeIIPj383pkPt0tEWKUuSzJhuJ2o/h8pFw/B5um45XOAdekowkOZuiv7+uVHwrF68a19QP/KNTQWIzX/hEpanCgw+pVBEFAO2IaUvxInF+/gfObN9Ac2YVh2k8R9D0zF1NHpI6MYsemI+zYdISUYZFqLb8fEEQRnTXqnFOLK7KMt7ERb3093gb/xdfUhK+5CV9TMz57C966WlzHypBdLhSXC8XjOe+xjoak4bReQvqe1dTuqgJBQDQYcIzPgOThXV62fpfweytfXRnOr15Fri9HO3oG+vE39qmuiD1NDLJinLMId/4q3Dmf0FJzBOP0XyJZUwId2hlEUWDcxETWrdxH6cFaUoZGBjokVTcSRBFtWBjasPafZ1NkGcXrRfF6ULw+UGRQ/JM8bvn3XuLCjIz7r8f8YwckCUEQCO+mXzW996xYP6EoCu6ir7AvfQzF2Yxx1oMYJt6qJvt2EEQRfcYcTPMeBtmHffkTuAu/7LZ5RjpraHo0waEGcjcd6XWxqQJPEEVEnQ7JZEYTHIwmJBRNaCgHjzix271kTxuMZDQiaDTd/gtRTfjdSHE7cK57Fdemd5Di0jDd9ASahFGBDqvPkaJTMd/4OFLCaFyb38P59esoJ6d/7g1EUSBrYiLVJ2wcPVQX6HBUfYDPK7NzaxmxCSHEJfbcpHBqwu8mvrpy7Msex3t4O7rxN2G85jcXNY3AQCcYLBhn3I8u+wa8B7diX/4knoaemZCvPYaNiiYoxMAOtZavaoc9+SdoaXYxbnLPTgKnJvxu4Dmcg33Z4yiuFoyzH0KfOadX9ynvKwRBRJ81D+M1DyA311D+z9/hPb4v0GEBIEkiWRMTqTrezNHDai1fdX4+r8yurUdPLp3Zs2Nu1CzUhRRFxpXzMc61LyGGx2O64TE0cSMDHVa/o0kcg/n6xUimYBwrn8azd32gQwJg+OhoLMF6tZavuqC9BSewNbnIntIza1d8l5rwu4jiduBY83fcuz5FO3wqprm/H1AjZnuaGBJN3E/+hBQ7Auf6f+Lc+oF/IfYAaq3lVzRTVlLf9g6qAcfnk9m55SjRAVqgSU34XUC21WJf8SS+snz0k36IftqdHZoHR9U5ksGMceZv0aZdiSd/Nc6vXkHxutvesRuNGBOj1vJV57WvoPJk7T45IGM21IR/kXxVh7AvfQy5uRbjzN+iGzVdHXzTgwRRQj/5R+gvnY/3cA6OVc+gOM9eX6CnSJJI5qWJVJY3caxUreWrTjtVu4+KDWJQSmB+/asJ/yJ4SnKxf/pn0OgxXfeI2uUyQARBQDdmJoYf3Iuv6jD2FU8i22oDFs/IMTGYg/Ts2KjW8lWn7SuspLnRGZC2+1PUhN9J7sIvcX75ImLEIEzX/REpLD7QIQ142iGXYJy9ELmlAfvyJ/HVVwQkDknjb8s/odbyVSf5fDI7Nx0hKi6IxMFdv1Zte6kJv4MURca59QNcm99Dk5yJac7v1P71vYgmdjimeb8H2es/r1J1KCBxjDzZlp+zoVSt5avYV3CC5iYX4wPUdn9KuxL+p59+yqxZs7j66qt57733zti2Z88err322tbL1KlTmTNnDgBLly5lypQprdv++te/dn0JepDi8+L8+g08+avRpv8Aw/RfIWj0gQ5L9T1SRCKmax9B0Jmwf/Y03vLino/hZC2/Uu2xM+D5fDK5m48SFRe4tvtT2pw8rbKykr/+9a988skn6HQ6FixYwCWXXEJqaioAI0eOZPny5QA4HA5uvvlmHn30UQAKCwtZtGhR6xdAX6Z4XDi+fAHfsUJ0429ClzFbPTnbi4nBUZiu/QOOlX/Bsfo5jFf9Ck1iRo/GMGJMDDu3HCVnYymDUsLU98sAtTff3+/+smuGBfw90GYNf/PmzVx66aWEhoZiMpmYMWMGq1evPudjX3vtNcaPH092djYABQUFLF26lLlz5/Lggw/S2NjYtdH3EMVpw77yKXzlRein/fTkyFn1w9vbiaZQ/3iIsAQcX7yA53BOjx5fkkTGTfL3y1dH3w5MPu/pfveBrt1DO2r4VVVVWK2nF3aIiooiPz//rMc1NzezZMkSPv3009b7rFYrd955J1lZWTz33HM8/vjjPPvss+0O7kIT+bfFag3q9L7f5W2u5/jSp5HrKoi+YSHmEZd0yfN2h64qc1/SdpmDkH/8OMf/8784v3qFYLMWy6ipPRIbwJQrhrJ72zF2by1j3CVd0ztDfZ37jpxNpdiaXMybP5aoqI6d6+uOMreZ8GVZPuNNqijKOd+0K1asYPr06UREnF6A+qWXXmq9fvfdd3PVVVd1KLieXMT8XOTmauwr/4Jib8R4zW+xR6Rh74ULq4C6ElJbtFc9gHfN81St+BtNjS1oh03u5uhOy7x0EN98vp8dW0pJvsj58tXXue/wemXWf7GfmIRggsMNHSpDdy1i3maTTkxMDNXV1a23q6uriYo6eyWYtWvXMmvWrNbbzc3NvPXWW623FUVBkqT2xh1wcsMJ7Cv+hOK0YZq9cMCuN9tfCFo9xmt+gxQ3Euc3b+LZt6HHjj1slH++/JwNar/8gaR4VwUtNjcTpga2Z853tZnwJ02axJYtW6irq8PhcPDFF18wbdq0Mx6jKApFRUVkZma23mcymXjzzTfJy8sD4N133+1wDT9QfHXl2D/9X/B5MM1dhBSdGuiQVF1A0OgxzvgNUkI6zm//2WNJX5JEsicnUVNlo2R/TY8cUxVYHo+PnVuPEpcYQnxS4NvuT2kz4UdHR/PAAw9wxx13cN111zFnzhzGjBnDPffcQ0FBAQB1dXVotVr0+tNdFCVJ4vnnn+fRRx9l5syZFBUVsXDhwu4rSRfx1RzB8dmfQRAxzv09UkT3rySv6jmCRofx6vtPJ/39m3rkuEPTowkNN5Kjjr4dEIp2VuBo8TBhau9aklNQevG7r6fb8H3VJdhX/gVBZ8Q0+yHEkOgOP0eg9NV2zotxMWVWvG4ca57HV74HwxX3oB06qYujO9uB4irWrtjD9HkjGZp2drNoe6ivc+/ncft495VtWGMszJk/plPPEbA2/IHCV3UI+8qnEfRmTHMX9alkr+o4QaPDOOO/kGKH4/zmDTyHtnf7MVNHWgm3msnZWNqpioyqb8jfcQynw8P4qcmBDuUsasIHfJUHsa98BkFv8Sf7IGvbO6n6PEGjx3jNA0jRQ3Guew1P6c7uPZ4gMGFqMo11DvYX9p7lGVVdx+X0sHtbGcmpEUTH9b4pVwZ8wvdVHsS+6hkEY5A/2Vsi2t5J1W/4e+88gBiZhHPty3jLCrr1eMlDI4iKDSJnYyk+b2AXbFF1vV3bynC7fEyYlhzoUM5pQCf808k+xD8iU032A5KgM2Ka9f8Qw+JwfPF3vBV7uu9YgsCEacnYmlwU5x3vtuOoep7d5qZgRzmpaVFERHV+0Gh3GrAJ31d1GPuqZxGMwf4ZL9XlCAc0QW/GOOtBxGArjjV/w1d1uNuOlZAcRtygEHI3H8Hj9nXbcVQ9a+eWo/i8MuOnJAU6lPNqc6Rtf+SrLsW+6i8IBos/2VsCNz+1qmcoioJH9uKW3Xh8Htw+N17Fh0f24JV9+GQfsiLjmXg9zm1LkL9+Hv34GxCDTo2MFZAEEUEQkQQRSZDQiBo0ooRW1KAVtWglLXpJj1bUIArnr0sJgsCEy1JY9u5uCneWk3mp2vW3r2tudFK0u4IRY2IIDTcFOpzzGnAJ31dzxJ/sT/XGUZtx+hSP7MXmttHssVHuVSivqabFY8fmacHusWP3OrB7HDi8DhxeJ06fC6fXhcvnQqGdPWPCBMAApas6HadO0mGU9Bg0BgwaAyaNEZPGiFFrxKIxYdaaCE6Q2LG5lOAhCuFBIQTpLGjEAfeR7BdyNpYiAOMm9d7aPQywhO+rO4Zj1TMIGv3Jmr2a7HsLWZFpcjfT4Gqk3tlIg8t/aXQ10ehqosndTJO7GbvXcc79BQR/UtUaMWlMGDUGQvQhGDUGDJIevaRDL+nRSTp0ktZfIxc1J2vpGn+tXZQQBREREbm5Btf6fyJIWvSX3YVgCkZRFHyKjKzI+GQfXsWLV/bikb3+Xw2y/5eDy+fG5fN/yTi8ztZLrbMOu8eB3etAVmT0oUGkHpvKe6vWUjloH4D/i0AXRIgumBB9MKH6EEL1IYQZQgjTh2IMSTjvfFaqwKirbmF/YSVjshMICjEEOpwLGjAJ39dQgWPl0yBKatfLAJAVmQZXI7WOOmqc9dQ56qh11lPnrKfO2UCDqxGfcmZ7tkaQCNEHE6wLJsYcxbCwVIJ1QQTrLFh0FgZFWfG2CJi1ZowawwWbUTosOAHf9N9i/+zPiN++i3He7xENXTN7oazIOL1ObB47m92lSIdSmTopDaemhUZ3M02uJhrcTZyor6LJ3YysfKc3Tw4YJD3hhjDCDWFEGMOJMIQRaQwn0hhBpDECvaTrkjhV7bNtfQlanUTWpN7fNDcgEr7cVIXjs6cB/DX74M6NclRdmE/2UeOso9peQ7WjlmqH/2+NvZZaZ/0ZCV1AIEQfTLghjJSQRMINYYTpQ1trsqH6EMxa0wVrstbIIKqV7huBKVmTMV7zAI5Vz+BY9SymOb9D0Bkv+nlFQcSkNWHSmrjySjPvH8xBOBjBzJkTz3rsqV8+9c5G6l0NeDQOjtacaP2yPNhwGKfPdcY+IbogIo2RWE0RRBkjiTJZiTJFYjVGopO0Fx2/6rQTxxopPVDLhGnJGIy9/3/b7xO+3FyD/bOnwOfFOHcRYmhsoEPq0xRFodHdRJW9msqTlyp7DVX2amqd9WfURg2SAasxnHhLLGOto4g0hhNhDCfSEEGYIaRPtFdrYodjvOo+HGtewPHF3zFe8wCCputq0MGhRtIz4yjcWc7YCQmERZx5wk8UxNZmnRQS/UPuw09/ySmKQovX7v/l5Kil2lHn/6K111Jcu4+t7h2tjxUQCDeEEmWyEmOKItrs/xtjjsaiNavNRB2kKApbvynBaNYyJjsh0OG0S+//xF0EuaUe+8qn/4DCjwAAIABJREFUUdwOTHN+hxTeN16U3sAn+6h21HDCXs2JlipOtFSdTPJVZ9QodaIWqymShKB4sqLGEmWKbK1N9pckoknMwHD5XTi/fh3nulcxTL8PQWx7qm9FUfD6FNxeH26PjNvjw+Xx4fbKeDw+XF4Zj1fGF6ZHEAU+XVaENT0Kj1fG45PP+OvzyXh8CpIkYnd48Pr893llBZ9PwSvLyLKCz2fEJycgK/HIsoKIB0VnQ9HZ8OlsVOtt1BhOUKw/hCCd/sWleLQoTguyw4zitKA4LMgOC6LXAAgIgoAoAAInr/tvi6LgvwgC0snr0qmLJKL5znWtRkQSBTSSePIioNX4r2s137mcvK3TSGg1ItYaO44WFzqthE4rotOI/usaCb1ORBID07v86KE6jh9rZOrVqWh1fWPq936b8GVHE46VT6M4mjDNXogU2bvPngeK2+ehyl7NiZZKjturTib3SqocNWfU1kP1IcSYorgkdhzRpiiiTVaiTVZC9MFd23YeIPL/b++846yqzr3/3aeX6TNnCr33qiBVQKQPRQlGEYNG5aOvLeFNiATzRr1Ro4YruVHi1Whyc68k14KKICBKERBEijAgEOoAU5jGDDOn7/b+cc4cGNp0Zjizvp85n933Wc+cvX9rrWev/Tyajj+o4g8qBGQ1PB9eDqr45fYktp5Cp+zVHH7/T+xMnExA1gjIKoGgcmFeVgkEw8Iua2g1jE3YConWRV52bTqOG0LCGBY/k1GKiKLVYkJCx2QMiafDbLwgtGGBNVwkvIawOEsGLsxLoKMjSx48lOGlFI+lDI+5FE9sEQo5kXKZsOAkCQeJOEnEQSJ2PRGTZkPTdTQ99L/TNB1V09F0HVXVUMPLlfOyouELKCiqhqLqKGqoMlPV0DZZqfn/6lKMBgmr2YjVYsRiNmIzG7GaQ/+r0NSIzWzCajGG58PTyMeE1WzEZg1ts1lMWMyGazZWNE1n+6YTxCfa6dn/xvEaRKXgq74KfKv/gFZRgn3KLzCmdm7qIjU5ATVIgaeQfE8B+Z4CznoLyPcUUuI7FxmuaJAMpNiTSHek0c/VO9zdD4m7zdS8Rh/ouo4voFDmDoQEOSzOvvDUH1TxBy6ar7L+knVhca6eFCbb+zGJfZws1dgkDQsJRVhoYuzm8HyoBWoNfywmAxaLEWu4xWoJC5LZFNrXbDIgabB62V5Gx8dyx08GXLXV2tiRI3Vdp0J2k+8uCF8rZ8n3FJDnySZfCb+BLEGsLYaMmHRaOdNo5UynVUw6Gc60el0nqhYS/qCioYSnQVnFGWujsMhNUFaRFS1cmYZ6SpUVa2UlW/kJyipuX5Di86H5yt9brWHQOkkCm8V0UaVgrLJsrAgSKPaS3MvFhu9zsVmM2Cu3W02XHWMyNo9GUdSFRw76vZSveBlzeS45vR9ASe0Zqf0jN6DZgNUcuvmiweUAF4TAp/gjrfR8b0FkvsRfGtnXKBlJdaSQ4Uwj3ZlGuiOVDGcaLkcK5gb2q1e6NSpvwqqtYC1yM1au9wcrtykXzav4wvOVoh0IqjUdVR8R5Utv2sob88J2U6iVVzlf2eqrbAFaQuItb38P+eAGrEN+jKX/lOoLUEMO7s3n67VHmHBHLzr3uPIosqYKFVz57CbfXUBepBI4S777LEFNjuyXZEuklTONjEglkE66w4W5Hg+LG9JmRQ1VEv6Ail+uej1d1jgIXNJQqOzxBRTalCv40TlEzeIhmYxS5NqL9C7CvYlLex52i4mpo7sQ8AaqP/ElVBceuUZ398qVK3nzzTdRFIX777+fOXPmVNn+xhtvsHz5cuLiQtHhfvzjHzNnzhzy8vJYsGABJSUldOzYkcWLF+N0OmttRG0ozsnBVJbPu+5bObBZBi5PuF6JBBf5BS9MzZV+wsoWWdi3aLrIx1jph6z0OxoNUnh6oQse8l1KGA2GiF/TcNHUIFVOQTJc6G5LhKfh+fBfBE3X8cgeCrxFnPUWUOAtpHT/OXLO53M+WB7ZzySZSLYlk2FvQ9+EASRbU0i2uIg1JYBuQNVCXWrVq1NUoXFWKw13uS/qditaZCqrGoqih/zKsoqsagRlDVlRw60xjaASaoUFwz7qoKxSmyaFBNis4a55WHStFiPxTgu2xEpxDt04yYkOVFmJ3DT2Kq2rC2JuMDRspW4Yfh+6301gxwdItljM3RsmKXqPfulk7cphx9cn6dA1GWMzaRVCyG9f+fC4Z3K3yHpN1zjnLyXPffZCReA+y6FzRyOjsiQkXI7kUCXgTIs0NFIdrgZvYFRH5X3rtNW9Atq5NZtdW0/xk/sGkpwee8Htd7We5iW9zko3oD+oUuYJRnqiAVlDV2Um2bPYb5tAt759G9DyENW28AsKCpg9ezYff/wxFouFe+65h9dee40uXS6k/Xv00Ud55JFHqqQ4BHjkkUeYPn06mZmZLF26FK/XW6usV3VNgGJ3WjiTez5Uk8sqwXBr8uLuXqQreFH3sLILGepWqmExq/yoyGF/o6JeryiHGpLNh2TzYLB5kGweJLsbg92DZLrQqtJVI7rPiRZ52OZE98WgBxxUrSrqR+VDttBDNWOksqusEC2V7ouLp2H3heUi98alPa5Le1817XU1ZWIMXVXwrV2CmncI+/gnMXUYWP1BNeDUsRJWf3SAkeO60HdQ68u23yjJQFRNpdBXTJ777EVuobMUeUuquBBd9hQynKmRnmalC9Fy0bsEzclmrzvIsrd20K5TEhPv7N2g59Y1Be+Xf0Y7tYf0e36DJ672qVWra+FXK/iffPIJO3fu5KWXXgJg6dKl6LrOE088Edln5MiR9OnTh9zcXAYPHszTTz+NwWBgyJAhfPfdd5hMJvLz87nvvvtYv359jQt/vTNe1ZRKN0Wl+Fd+ZLXqQ6rQg6tQK7ryoZYafsCl6Xpku091U66WUaGW4lbLcGuhj0c/j35Rl9GCHachgVhDIjFSEjGGBGINydilGOLibHg9wXDPoGqv4eIeRZWehlHCZDCEpsYLvZDKh4VGowFzWOSNRgOGZub+amoh0GU/3lWvoJ3LwT7ll5gyutf/nLrOZ//MoqTQzZxHb8F6SUu0qW2uL7IqU+AtuuhZUsjlWOQriQwSqBw+mhYeOto5tS0ONZY0p4t4S1yTumE3rv4XRw4UcPfDgxo0Zo6uafg3voVyfAfW4XNofdvMRsl4VW1/qrCwEJfrgj8xNTWVrKwLbhKPx0PPnj1ZsGAB7du3Z+HChfz5z39mzpw5xMTEYDKFvsLlclFQEB1JHyRJwmwKCWFNkDWFc/5Sin2lF42XLqHYH5rKF/lATQYTqfYUOjtak+YYQGp4NEyaw4XTfPUL7EYXghsRyWzDPvn/4lvxIr4v/oijAXIgS5LEiNs78+HfdrPrm1OMuL32rbzmjNlopk1sK9rEtqqyXtYUirzFkQqgwFtEgaeQY2Un2Hhma2Q/i9FCqj0FlyMFlz0Zlz08dSQTZ4lt1BFjxQVuDmedpf/gNg0r9rqGf/NfUY7vwHLLj7H0Gd9g576UagVf07QqNeqlcTycTid/+ctfIssPPvggixYt4t57772sJq5tzXytmqo6XK6GeQ2+OnRdxyv7KPGWUuIrpdhTSpG3hGJvKUWeEoo8JZT6zlcJ3GU2mklzptAqPpWBrXuTEesiPSaV9NhUUhyJdb5or5fNzYmmtzkW5SfPkfv3RQTWvkar+1/EnJherzO6XLEMHNKWfTtzuPX2riS7Yi7bHo20IpH+dK2yTtM1zvnKyCsvIK+igLMVheS7i8ivyCer6ADqRUOHzQYTLmcyaTGht4xdzmRcziSSHYmkOJJItMVjqOOYfV3XWf3hAewOMxNn9G6wt2p1Xad47dsoR7aSeOvdJI76cWRbY/zO1Qp+eno6u3ZdeFuvqKiI1NQLoQny8vLYtm0bs2bNAkIGmEwmkpKSqKioQFVVjEbjZcfVhKZ06aiaikfxUhF0Rz7ng+EgXoEKzgfKKQuepyxQTlANVjnWIBlItMaTZEukW3wXktITw/FOkkmxJ129JeKFEq+nTuVtiS385mOzDeukX+D97CVy3nsex/RFGBwJ9Tpjv1vacOD7PD7/aD+TZ/WJrG8+Nl8/XK4kdI+ZjIQ2cNG/VdVUSgNloQaWv4QSXylFvhJK3Oc4UnwSj+ytch6DZCDOEkti+OFznDWOBEsccdZYYsMxmmItMcSYnZe9BX7ySDGnjpdw64SuVLj9VLj99bZL13UC2/+JfGAdlv5TkHtMivy2jZXEvFrBHz58OK+//jrnzp3Dbrezbt06fve730W222w2/vCHPzBkyBDatGnDsmXLGD9+PGazmUGDBrF69WqmTZvGp59+yqhRo2ptQF3wBn2U+suQNTkUAz0cwVDWZPxKAL/qD00VP17Fj0/x4VG8+OTQ1BP04lG8Vzy3yWAi3hJLvDWe1jGt6J3UgwRbPInWeBJtCSRaE6LmZSRBzTEmtsYxaT7ez1/Ft+bfcUz7NZKl7t1+h9PCzcPb8e2mk+Rkl9Kmg0jQcylGgzESMO5K+BU/5/xllAbKQtNwkL6ywHnyPKGRRH71ysJtN9mIMTtxmp04DHaMWztgjJU4EZtF/qkjobDXRis2kxWLwYLFaMFqtGAymC6KwmrEKIU+BslwmackuHM58oF1mHqPwzhoJrKmoOoqoceqjdOLq9E4/JUrV/LWW28hyzKzZs1i3rx5zJs3j6eeeoq+ffvyxRdf8PrrryPLMjfddBPPP/88FouF3NxcFi5cSElJCRkZGbz22mvEx8fXuHB1aeHnuvN5Zed/VOnqXY3KkLo2kw1nOKyuw2wnxhxDjNmB0+Ik1hwTqfnjLHHYTbZmOXa/Zbb8mp/Nypn9+L74I8a0Ltgn/6JecXcUReN//7ITs8XIXT+9GYNBapY2NzaNaXNADVIeqKBCrghP3biDHipkD+6gG6/iQz7mxHasFWd77qMkNrfmeRWuQKQhqOuga+iSdMWzPTnkp/Rw9qz9+es7SqcpqYvgy6rMUd8Ryso94drWHIqBbjCHYqKbrOH46KEY6c1RvOuCEILmg3zsW/wb3sLUfgC28U/UKO7O1Th5pJi1H//AiHGd6TeoTbO1uTFpSpvdFQH+9y87ad0ugcmz+oTcMGoAvxogoISmQTVIUJMJqMFwfgQZWQ211lU9nE0NHV0PhY9QC46h5h3CkNQWc/sBoRwM4SxqBoMBs8HMxF4j8JfXXpob5MWrGwmz0czojkNb3E0haD6YuwxFD3gIfPM/+Df/Fdvoh5Dq6OLr0DWZth0T2bklmy49U0GkcbiufLvxBJqqMWJcKDyLJEmRLGZYa3++4IEvCRzYhanzEGxjHkG6ykPkWGsMfhpew4SjWSBoBCy9b8dy850oR74h8O371LUjLUkSI8Z1QZE1dmw62cClFFyLvNNlHD1YyICh7YhLqH8ehODBDQS2LcPU4WZst827qtg3JlHXwhcImguWm6aj+yuQ93+BZIvBOnBanc6TmOyg3+A27N1xhpxTpVgd4rZtbDRNZ8uXx4iJszJwaNt6n08+vJnA1v/G2K4/ttv/D1IT5YIQLXyBoJGQJAnr8HsxdRlGcOdyggc31PlcNw9vhzPGwpqPD9RpqLKgdhzYncu5Ig8jbu+M2Vy/WPfykW/wb/4bxjZ9sI97HMnYdBW2EHyBoBGRJAO2MQ9hbDeAwNb/QT72bZ3OY7GaGH57Z/JzznNgT24Dl1JwMe7yAN9tyaZtx0Q6dkup17nkY9/i//odjK16YJ/wVINmS6sLQvAFgkZGMpiwj3sMY0Y3/Bv/gnJqb53O07mHi87dXXy3ORt3Re1D5wpqxjfrj6FpOqMmdq3XKD75+Hf4N76FMb0b9ok/b3KxByH4AsF1QTJZsE/8OYaUdvi+egMl71DtzyFJTPlRHzRN55uvjjVCKQWnjpVw4l/F3Dy8fg9q5RM78W/4T4xpXUN5kM11GNLTCAjBFwiuE5LFjmPyLzDEpeFb+0fUgtqLdmKyk5uHt+PEv0Kv+gsaDjmosmXdURJTHAwYUvcHtfLJXfjX/yeG1E5hsW8+2eKE4AsE1xHJFoM9cwGSIx7vmtdQS07X+hwDhrQlMcXBli+OIgfV6g8Q1IidW7OpKA8wamLXOiefkU/uwv/VmxhSO+KY/AskS/2HczYkQvAFguuMwZGAI/NXSGYbvs//gFpau4ewRqOBMZO6UVEe4NtNJxqplC2Lgrxysnbm0GtABq3a1i3wXXMXexCCLxA0CYbYFByZvwLJgG/Vq2jnz9bq+PQ28fS9uTUH9uSRd6askUrZMlAVjY2r/4UjxsrQMZ3qdA75xM5mL/YgBF8gaDIMCenYp/4KdA3vqlfRyotqdfyQ0R2JjbexafURFFm4durK7u2nKS32MnpSV6y22o+Rl499i3/9mxhTOzVrsQch+AJBk2JMbI09cwG6EsD7+StoFcU1PtZsMTJmcjfOl/rYuTW78QoZxZQUuvl++2m69U6jfecrh1m+FvKRb8JDL7tin9K8xR6E4AsETY4xuR2OKQvQA95Qjlx3zUfftOmQSM/+Gez7Lof8nPONWMroQ1U01q86jNVuigRHqw3Bw1/j3/QOxlY9sU/6v81qNM7VEIIvEDQDjK4OODIXoAfceFe+XCvRHz62EzFxNjasOkwwoDRiKaOLnVuzKSn0MGZy91qnLAzuX0dg898wtu0TeqmqmYyzrw4h+AJBM8Ho6hhq6fvDol9D947FauL2qT0oL/OzbYMYtVMT8s+c5/tvz9CzfwYdutTOlRP4fiWB7f/A1OHmZhEuoTbUSPBXrlzJlClTmDBhAsuWLbts+1dffcWMGTOYPn06jz32GOfPh7qWn3zyCSNHjmTGjBnMmDGDJUuWNGzpBYIow5jaKdzS9+Bd+Xu08sIaHZfRNp6BQ9tyaF8+2Udr/hygJRIMKKxfdZi4BBsjbq+5K0fXdQI7PiC4czmmLsOwjXsMydgwycyvF9UKfkFBAUuWLOEf//gHn376Ke+//z7Hjl14Q9DtdvPcc8/x9ttv89lnn9G9e3def/11AA4cOMDChQtZsWIFK1asYP78+Y1niUAQJRhTO+GY+it02R9q6ddwyObgkR1ITnWycc0RPG4Ra+dqbPnyGO5yP2On9sBsqVkkTF3TCGz5L4L7VmPuOQbbmHn1ymTWVFQr+Nu2bWPo0KEkJCTgcDiYOHEia9eujWyXZZlnn32WtLQ0ALp3705+fj4A+/fv55NPPmHatGn88pe/jLT8BQLBtTGmdMAx9WlQZbyf/R71XE71x5gMjJveEyWosn7lYRFG+Qoc3n+WIwcKuGl4ezLa1Cy/tq4q+De8iXz4aywDpmIdeX+TJC9pCKotdWFhIS7XhbxqqampFBQURJYTExMZP348AH6/n7fffptx48YB4HK5eOyxx/jss8/IyMjg3/7t3xq6/AJB1GJMbod92kKQJLwrf49aWL1/PinFya0TupJ7qow922sftiGaKS3xsmXdUVq1i2fQiPY1OkYP+vCtfQ3lxE6sQ+/GesusGzoPdrVvGWiaVsVAXdevaHBFRQWPP/44PXr04M477wRg6dKlke0PP/xwpGKoKddKxlsdLldsnY+9URE2RyGuHsiuF8n/x/P4Vr+KL+bXuNr3ueYhKWNjKD7rZtfWbHr1zajT+PLmRn1/Z1lW+fjve7BYTNz9wGBi46sfQqlUlHJ2xauoRadxTXuS2H5j6lWG2tIY13a1gp+ens6uXbsiy0VFRaSmplbZp7CwkIceeoihQ4eyaNEiIFQBLF++nAceeAAIVRRGY+18XiUl7jp1S5syy31TIWyOZpxYM3+Nb/UfOPvPF7COfQRzx0HXPOKW0R04ffIcH/33bmY9cDOOmBtnJMml1Pd31nWdr9ceoSC/gil39cEflPEXydc8RivLx7vm39F9Fdgn/gx/Rj/81/Faq6vNBoN0zYZytS6d4cOHs337ds6dO4fP52PdunWMGjUqsl1VVR599FEmT57MM888E2n9OxwO3nnnHfbt2wfAe++9V+sWvkAgCGFwJuKYtghLekf8Xy2tNl2ixWpi4p29CAQUvvj0B1RVu04lbX4c3JvPoX1nuWlYuxr1dpS8w3hWvABKEMe0hZja9rsOpbw+VNvCT0tLY/78+cydOxdZlpk1axb9+vVj3rx5PPXUU5w9e5aDBw+iqipffPEFAH369OHFF1/kj3/8I8899xx+v58OHTrw6quvNrpBAkG0ItliyLj3Wc68/yqBrf+N7j2P5eY7rupTTk6NYczk7nz12SG++eo4oyZ2vc4lbnryc86z9ctjtOuUxOBbO1S7fyj/7F8xxKVhnzQfQ5yr2mNuJCRd15vto3zh0qk5wuaWgcsVS2FBKf7Nf0c5sgVT1+HYRv30muPBt288zt4dOYyZ3I2e/TOuY2kbhrr+zu6KAB/9124sFhM/uv+mawZG03WN4K5PCH6/MhQqYfwTSFZnfYpdLxrLpdN06dMFAkGdkAwmbKMfJBjnIrjrY3zuEuzjn0SyXflGHzK6E8UFHjavO0p8op1W7eoW7/1GQg6qrF1+ADmoMv2e/tcWe9mPf+PbKNl7MHe/NTTs0hid0nhjDiYVCFo4kiRhvWk6trGPoBYcx7Pid6hleVfc12CQmHBHT+IS7KxZ/gOlxZ7rXNrri6bpfLniIMUFbsbP6EWS6+otda28EO+KF1BOfY91+Bysox6MWrEHIfgCwQ2NucuwUEz9gBfvJ79DObX3ivtZbWYy7+qD0Sjx+YcH8HqC17mk1wdd19n61TFOHT/HyPFdrhknRzm9D8/Hz6G5z2Gf/Assfcbf0GPsa4IQfIHgBseU3g3HzOcwxKXi++I/CHy/El2/fFROXIKdKXf1wecNsvrDA1EZWXPvjjP8sCeP/re0oc9Nra+4j65pBHZ9gm/tEgyxKThnPoepzbXfbYgWhOALBFGAISYZx4xFmDrfQnDncnxf/Ae6333ZfqkZcYyf3pPiggpWf3QAOYoyZR3Yk8u3m07SpaeLYbddOVWh5i3Dt+bfCe5ZganbSBwzfoMhLvWK+0YjQvAFgihBMlmxjX0U6/A5qDkH8Hz87BXDMXTomsLt03pyNuc8a5f/gKLc+GP0D+3LZ8u6Y3TokszYqT2u6JpRzmTh/ej/oZ49inXUT7GNfuiGCm3cEAjBFwiiCEmSsPQZj2N66I1372cvEti7Gl2rKupde6UyZnJ3crJLWffJD6g3sOgf+aGATWuO0LZjIhPu6IXRWFXWdCWIf9s/8K15Dckej2Pms1h6jI56f/2VEIIvEEQhxtTOOGc+j6n9QILffYDv81cvy6LVo186oyZ25dTxc3z+4f4b0qd/YE8e61ceplW7eCbO7I3RVFXS1MITeJf/FvnAOsy9bsdx528xJl7Zt98SEIIvEEQpki0G27jHsY16ELXoJJ6PfoN8eDMXv2vZe2ArxmZ2J+90GSv/Nwu/79oxZpoLuq6z+5tTbFl3lPadk8i8qy9m84VYXboSILDjA7wrfoeuBLFPWYBt5E9anAvnUqJ3wKlAIECSJMw9RmHM6I5/81/xb/4rxuM7sN36QCRsQPe+6VhsJr789CCfvreXKXf1IS7B3sQlvzqaprNt/XH2786lW+9UxkzpXsWNo+QcwL/l7+gVRZi63Ypt+Gwki6MJS9x8EC18gaAFYIhPwz71aawj56IWHsfz4TME9nyGroTG43fsmsLUu/vh9QT56L/2kJNd2sQlvjJ+n8yq97PYvzuXfoNbM3Zqj4jYaxXF+L76M77Vi8FgxD71aexjHhJifxGihS8QtBAkyYCl11hM7foT2P5Pgrs+Rv7XFqzDZmNqP5BW7RL40f03sWb5AVa9n8XwsZ3pO6h1s3m4WVLoZs3yH/C4A9w2pTs9+qUDodAIwb2fE8wKZeKz3DQDy4DMFu++uRJC8AWCFoYhJhn7+CdQcg8S2PYe/nV/wpjeDcvgHxGf0Z2ZPxnIhlWH+Wb9cXJOlTFmcjcczqYTT13T2bczhx2bTmC1m5lx7wDSW8ehK0HkgxsJ7vsc3VeOqctQrLfchSHmxk/40liIaJlRgrC5ZdDQNuuagnx4C8E9K9C9ZRjb9MEycBqGtK7s353Hjk0nMFtMjJ7UjU7dUxrse2tKxXk/W788RvaxEtp3TmLM5O7YrRry4c0E960Olbl1L6yDZmJM63Ldy9dYNFa0TCH4UYKwuWXQWDbrShD5h/UhEfVXYEjthKXfZMpjerDh8yMUF7hp3zmJYWM7k5jc+D5xWVbZ910O3397GoNBYtjYznTvZEY5uIHgoY0Q9GHM6I7l5jsxterR6OW53gjBrwVCCFoGwuaGR1cCyP/aSjBrLXpFEZIjAWOXkRwK9GbP7hJURaP3wFYMHNoWZ6y1wb9fVTWOHSriu80ncZcH6NQtmdsGqiiH16Pm7AfA1HEQln6TMKZ2bvDvby40qeCvXLmSN998E0VRuP/++5kzZ06V7YcOHeKZZ57B4/EwaNAgnn/+eUwmE3l5eSxYsICSkhI6duzI4sWLcTprnlRACH7NETa3DK6XzbqmoZzei3z4a9QzWaDrBBK7kRW4hSO5ZiRJokuvVPoPbkNK2tUFpqYE/AoH9+Wzf1cunooAyQkGBmdkk1K6HYJeJGcS5m4jMHcfFXVZqK5Ekwl+QUEBs2fP5uOPP8ZisXDPPffw2muv0aXLBX/Z1KlTeeGFFxgwYACLFi2iT58+3HvvvTzyyCNMnz6dzMxMli5ditfrZcGCBTUuvBD8miNsbhk0hc2a+xzysW0oJ3ejFZ2kQo3lsHYTxz0dUDQDiYkWOvVMo1P3VJJTnTUe1eP1BDl1rIQTh/LJOV2BpkG6o4wept20Np5GsjkxtR9Iyk1jcMd0QjK0nFHkTZbxatu2bQwdOpSEhFCWnIkTJ7J27VqeeOIJAHJzc/H7/QwYMACAmTNn8qc//YlakVbQAAAHgklEQVS77rqLnTt3snTp0sj6++67r1aCLxAImh5DTBLWAVOxDpiK5i7Bmv09w/IO0S93BScrMjhd0Z492/zs3nYGk0ElKUYmOcGAw2HEajFitppQFY1gQMHv1ygrVygpN+IJhtIyOg0VdDOfopPtBCnp8Zha9cHY5h6MGd2RDEYcrlg8LaxibyyqFfzCwkJcrgtdqNTUVLKysq663eVyUVBQQGlpKTExMZhMpirra8O1aqrqcLli63zsjYqwuWXQpDa7YqFjB+BOdF2jc3EOgYJsys6c5sTx8xSWGij22jh2Oh6ZylAHlTF6DEhAnNFPmt1DSrJCuzZWWnXKwJo2FWt6ZwzWK7/hK37nhqFawdc0rUoXTdf1KstX237pfkCtX+AQLp2aI2xuGTQ/mxMhLRFb2kB6DYJe4bW6EkDx+Qh4fQS8AcwWMxaHFYvdhmR1IEkX3DNy+OMuV4DLbWt+Njc+TebSSU9PZ9euXZHloqIiUlNTq2wvKiqKLBcXF5OamkpSUhIVFRWoqorRaLzsOIFAEL1IJivmWCvm2ATq/0hX0FBU+xRk+PDhbN++nXPnzuHz+Vi3bh2jRo2KbG/dujVWq5Xdu3cDsGLFCkaNGoXZbGbQoEGsXr0agE8//bTKcQKBQCC4vlQr+GlpacyfP5+5c+dyxx13MHXqVPr168e8efPYvz80Lnbx4sX8/ve/Z9KkSXi9XubOnQvAs88+ywcffMCUKVPYtWsXP//5zxvXGoFAIBBcFfHiVZQgbG4ZCJtbBo3lw285A1sFAoGghSMEXyAQCFoIQvAFAoGghdCs4+EbDHVPvFCfY29UhM0tA2Fzy6AuNld3TLN+aCsQCASChkO4dAQCgaCFIARfIBAIWghC8AUCgaCFIARfIBAIWghC8AUCgaCFIARfIBAIWghC8AUCgaCFIARfIBAIWghC8AUCgaCFEHWCv3LlSqZMmcKECRNYtmxZUxenUXjjjTfIzMwkMzOTV199FQglm582bRoTJkxgyZIlTVzCxuOVV15h4cKFQPTbvGHDBmbOnMnkyZN54YUXgOi3ecWKFZFr+5VXXgGi12a3283UqVPJyckBrm7noUOHmDlzJhMnTuSZZ55BUZSrnbJ69Cji7Nmz+m233aaXlpbqHo9HnzZtmn706NGmLlaD8s033+h33323HggE9GAwqM+dO1dfuXKlPnr0aP306dO6LMv6gw8+qG/atKmpi9rgbNu2TR8yZIj+9NNP6z6fL6ptPn36tD5y5Eg9Pz9fDwaD+uzZs/VNmzZFtc1er1cfPHiwXlJSosuyrM+aNUtfv359VNq8d+9eferUqXrv3r31M2fOXPN6zszM1L///ntd13X917/+tb5s2bI6f29UtfC3bdvG0KFDSUhIwOFwMHHiRNauXdvUxWpQXC4XCxcuxGKxYDab6dy5M9nZ2bRv3562bdtiMpmYNm1a1NldVlbGkiVLePTRRwHIysqKapu//PJLpkyZQnp6OmazmSVLlmC326PaZlVV0TQNn8+HoigoikJMTExU2vzBBx/w7LPPRvJ8X+16zs3Nxe/3M2DAAABmzpxZL/ubdbTM2lJYWIjL5Yosp6amkpWV1YQlani6du0amc/OzmbNmjXcd999l9ldUFDQFMVrNH77298yf/588vPzgSv/1tFk86lTpzCbzTz66KPk5+czZswYunbtGtU2x8TE8LOf/YzJkydjt9sZPHhw1P7OL774YpXlq9l56XqXy1Uv+6Oqha9pGpJ0ITyorutVlqOJo0eP8uCDD/KrX/2Ktm3bRrXdH374IRkZGQwbNiyyLtp/a1VV2b59Oy+99BLvv/8+WVlZnDlzJqptPnz4MMuXL2fjxo1s2bIFg8FAdnZ2VNtcydWu54a+zqOqhZ+ens6uXbsiy0VFRZEuUzSxe/dunnrqKRYtWkRmZibfffcdRUVFke3RZvfq1aspKipixowZnD9/Hq/XS25uLkajMbJPtNmckpLCsGHDSEpKAmDcuHGsXbs2qm3eunUrw4YNIzk5GQi5L959992otrmS9PT0K97Dl64vLi6ul/1R1cIfPnw427dv59y5c/h8PtatW8eoUaOaulgNSn5+Po8//jiLFy8mMzMTgP79+3Py5ElOnTqFqqqsWrUqquz+29/+xqpVq1ixYgVPPfUUY8eO5Z133olqm2+77Ta2bt1KeXk5qqqyZcsWJk2aFNU29+jRg23btuH1etF1nQ0bNkT9tV3J1exs3bo1VquV3bt3A6FRTPWxP6pa+GlpacyfP5+5c+ciyzKzZs2iX79+TV2sBuXdd98lEAjw8ssvR9bdc889vPzyyzz55JMEAgFGjx7NpEmTmrCUjY/Vao1qm/v378/DDz/MvffeiyzLjBgxgtmzZ9OpU6eotXnkyJEcPHiQmTNnYjab6du3L08++SQjRoyIWpsrudb1vHjxYn7zm9/gdrvp3bs3c+fOrfP3iIxXAoFA0EKIKpeOQCAQCK6OEHyBQCBoIQjBFwgEghaCEHyBQCBoIQjBFwgEghaCEHyBQCBoIQjBFwgEghaCEHyBQCBoIfx/fmFa8iZnDMgAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "reload(pindicator)\n", + "pindicator.pindic(pindicator.genbaca1,T=1,voir=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P[0]= 1.0\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#pour le modele bacaer (sans decalage)\n", + "pindicator.plamsa(pindicator.genbaca,T=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P[0]= 1.0\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#pour le modele african horse\n", + "pindicator.plamsa(ucovid.genafricanhorseper,T=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P[0]= 0.5333333333333333\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#on avait un rayon spectral egal a 1 dans le cas epsilon =0\n", + "#si on décale vers le bas, le sens de variation de P n'est pas celui des autres indicateurs\n", + "pindicator.plamsa(lambda e,t : pindicator.genbacadecal(e,t,-0.5),T=5)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P[0]= 2.6666666666666665\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#si on decale vers le haut\n", + "pindicator.plamsa(lambda e,t : pindicator.genbacadecal(e,t,+0.5),T=5)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.8.5" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autoclose": false, + "autocomplete": true, + "bibliofile": "biblio.bib", + "cite_by": "apalike", + "current_citInitial": 1, + "eqLabelWithNumbers": true, + "eqNumInitial": 1, + "hotkeys": { + "equation": "Ctrl-E", + "itemize": "Ctrl-I" + }, + "labels_anchors": false, + "latex_user_defs": false, + "report_style_numbering": false, + "user_envs_cfg": false + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/pindicator.py b/pindicator.py new file mode 100644 index 0000000..d114d82 --- /dev/null +++ b/pindicator.py @@ -0,0 +1,147 @@ +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.gridspec as gridspec +import pandas as pd +from scipy.integrate import odeint,quad +from scipy.stats import kde,beta +import seaborn as sns +from importlib import reload +pi=np.pi + + + +import ucovid + +####### Calcul de l'indicateur P de Heesterbek et Roberts +#########"" 28 septembre 2020 + +#la donnee d'une matrice 1 periodique est faite via la fonction gena + +def pindic(gena,T,nbpts=100,voir=False): + def a(t): + return(gena(t/T)) + def msisi(x,t): + return(np.dot(a(t),x)) + + + #on determine la solution fondamentale + timeint=np.arange(0,T+1/nbpts,T/nbpts) + dim=(a(0).shape)[0] + z=np.zeros(shape=(nbpts+1,dim,dim)) + for i in range(dim): + y=np.zeros(shape=dim) + y[i]=1.0 + z[:,:,i]=np.array(odeint(msisi,y,timeint)) + #la matrice de monodromie est obtenue en prenant pour colonnes les valeurs + #des solutions au temps T + E=np.array([z[-1,:,i] for i in range(dim)]) + E=E.transpose() + l,v=ucovid.vecetspectralrad(E) + + #puis on considere la solution x issue du vecteur propre de la matrice de + #monodromie + x=v[0]*z[:,:,0] + for i in np.arange(1,dim): + x=x+v[i]*z[:,:,i] + #supposons que les elements diagonaux de A soient constants negatifs + #histoire de simplifier les calculs + P=1.0 + azero=a(0) + if voir: + print("azero=",azero) + #la correction pour obtenir une solution periodique + corr=np.exp(-timeint*np.log(l)) + for i in range(dim): + xi=x[:,i] + ip1=(i+1)% dim + xm=np.array([(a(timeint[j])[ip1,i])*xi[j] for j in range(len(xi))]) + if voir: + plt.plot(xi*corr,label="x["+str(i)) + plt.plot(xm,label="xm["+str(i)) + print("P=",P,"sommes : xi=",np.sum(xi),"xmi=",np.sum(xm),-azero[ip1,ip1]) + P=P*(np.sum(xm)) + P=P/(np.sum(xi)) + P=P/(-azero[ip1,ip1]) + if voir: + plt.plot([a(timeint[j])[1,0] for j in range(len(xi))],label="a(t)") + plt.legend() + return(l,P) + + return(P) + + + + +def genAH(t): + return(ucovid.genafricanhorseper(epsilon=0.5,t=t)) + +azero=genAH(0) + +#pindic(genAH,T=1) + +def genazero(t): + return(np.array([[-2,2],[1,-1]])) + + +#puis maintenant on regarde la dependance de P en espilon +def pepsindic(epsmax,genepsa,T,nbeps=50,voir=False): + ept=np.linspace(0.0,epsmax,nbeps) + pe=np.zeros(shape=nbeps) + for i,e in enumerate(ept): + def gena(t): + return(genepsa(e,t)) + pe[i]=pindic(gena,T=T) + if voir: + plt.plot(ept,np.log(pe)) + return(pe) + +#pour le modele africanhorse +#pepsindic(0.5,ucovid.genafricanhorseper,T=1,voir=True) + +#pour le modele bacaer +def genbaca(e,t): + return(ucovid.genex2per(epsilon=e,t=t,b12=0,b21=1)) + +#pepsindic(0.5,genbaca,T=1,voir=True) + +def genbaca1(t): + return(genbaca(1,t)) +def genbaca0(t): + return(genbaca(0,t)) + + +#maintenant tracons les trois courbes +#(1/T) ln(lambda_d), msa et ln(P) en fonction de epsilon + +def plamsa(gena,epsilonmax=0.5,T=1,recalage=True): + nbeps=50 + ept=np.linspace(0.0,epsilonmax,nbeps) + x=np.array([ucovid.lamsaetapp(gena,epsilon=e,T=T) for e in ept]) + lamd=x[:,0] + ustlnlam=np.log(lamd)/T + if recalage: + ustlnlam=ustlnlam-ustlnlam[0] + plt.plot(ept,ustlnlam,label=r"$\frac{1}{T} \ln(\lambda_d)$") #on voit bien que c'est en delta^2 + msa=x[:,1] + if recalage: + msa = msa -msa[0] + plt.plot(ept,msa,label=r"$MSA=\int s(A(u))\, du$") + pe=np.zeros(shape=nbeps) + + for i,e in enumerate(ept): + def mongena(t): + return(gena(e,t)) + pe[i]=pindic(mongena,T=T) + print("P[0]=",pe[0]) + pe=pe/pe[0] + plt.plot(ept,np.log(pe),label="ln(P/P[0])") + plt.xlabel(r"$\epsilon$") + plt.legend() + #plt.savefig("ex2msaperiodic.pdf",bbox_inches='tight' ) + + +#maintenant il faut voir si l'indicateur P resite au decalage du rayon spectral +#s'il varie dans le bon sens +def genbacadecal(e,t,dec=-0.5): + return(genbaca(e,t)+ dec*np.identity(2)) +