{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ " v1.1 2018/10/23 JLC Ajout image architecture réseau + correction fautes de frappe\n", " v1.2 2019/06/13 BA MAJ par Benjamin AILLOUD (stage L2 informatique)\n", " v2.0 2019/06/16 JLC Reformulation version 2." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Machine learning : les module Python Keras & tensorflow pour la conception & l'entrainnement d'un réseau de neuronnes dédié à la reconnaissance de chiffres écrits à la main " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from IPython.display import Image" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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qhh3GbHmSQSIiPydPTOKaOlo4QgjX0tXGEZGbkiqlMCtHJHVj2eUVLtvgOI6QOKu4zbaIjJiz4wxwkhuVYLkzIiv2/HhjClkUEfZJhBBu6uqXwRWICIIU5jxZZEslciPexqO2614+WWhJQczRF4p4D1y1cITE6bnN1gVlFkZv706r2GHBi2NHXnNxM5eznwuLk+8vaM/GYnyunDp28h2f6bD2WSqXmx64vhs9zuvonXzpQ0YWvNo+afldrt6QDUv6MBC144KDawYYvtvQWZOuYuX+gNl9zuG/B+p0WbHXzUocvmfmqCkbAkQdlh1b3YWtaCUNc+MlAAAAAJogoTDLx+fgs2efXFy0Bg9WVzQZq0hfnzZpkmafPhRv7zMvXgTUY5AAgHpXfqiTIqGIRMKQoxvOvkwu4henhV9d67LYp2xJD4TICnthmNRCDEnfuObysiKNgW7T2uhaDh1sT0cYx2nGtDbaFkOG2tMQ4pXwEEJIGO+7algHU00Wha7Vb3eUCJFikZj8vh6EEKb2+6zZXXVYTEal26fJrKj3aWJcZ+DUsVaqbKMBe94WFWW/nIl9zSbIkuCNvQzZbP0e/7zgEoVhr6JFVasVJ99a1H/AqkDOqIP3vKZaUhBC/MykdB5Z1hsRN/NL+OcsEqn1Xb9rkknJ6wcv8lsv8lhpz6pNJQAAAAD4FZSUJJ45c1wsFri56RgZ0WreQQ5t2rBcXTUjI4N8fa99Wy8AANDElOdjuIa2Jo5hmr/vCcsuKUp8vNSORmY9ffyW0NDRpmFERmoGgRAisjKyCIRrGZtKKdTVpkrdWHb59xd+cFUNdSpCiMFkIoSra2tKfmCUZW5EyplZk7bdDE/K4xEIw6RkdN+qUtfRplctJgmClPyvYqmUeojszKzvF5AVJ1117ed8MLnLhgfBl2a2V0UIISLh5Bz3I4G48/mvRUJe+rOlzWPvbHbbFihEmLp1Wwsmhkhx4uvQFHHtKgEAAADAz47PTzp16qyZGdXZWYNGk31yozh1dcq0aWWAO+YAACAASURBVBoFBTFXr16GlAyApqk8I8K0OnW2opD8/Kx8AYlTcUQihOgMBlLpYN+KKk69f+lhWklOyPnr70UUw07d+nWuWtjJBJe6cTXlCkYr/hz+jktSrdx9E/My3p+bbIkjsriwsDy3IlLjErgCYTUfN7iejY0uTmTf9bz4uYiX8Xxtd3W2hs02bgsdHFPpvflVJp8gSZIkSSLbc0jl1R+5rzaO/t/Z7D67n/it7qVbFjqRnpAkIBGJ4RQcwzAMkSRJZKSmi/iRu6b/HUixH9hLO//B6nmn4olaVKLg+IAfHomw4kKiMF8k/3+8Qr6yowbgGxLhCr2BC/NFfC68h8EvTSTKOX/eq3lz+oABnIaon0bDXFzUuNyE27dvNUT9AIA6+nYzH7X91Dn9D86+v6mP4SaEEEIYtcWwER1oFIbL9L7/znpweLDhYYQQwpidXKf1aK1etbAbDVFaStm4mnIFUUwsTKlYwheP4aYeCGObmGpRxHEHh/bQfPxsMJOJIUHQSluNy+u2mMuugt7LdUZ7z3/CvP9n7f0/hBDC6Lbu46eP4Zw5vTVgdWfd1QhhGJWp2WrGhWd7ndTLr1ERiWdW7XxdLCbvz2vFnFcaTvNFAR/++a2/8c5P8afHmp8u3RRT/+23thFbJvwThHpsP+0zNmSs3fSbK+aecfL5EylUSZf6+zoA8INIjOVt7jGPoa4p/y78/Ny8nglsHb2Gi+pXQxCkFitjz567yg7kh/TiftqZKWsVfQ+n9RBq6TaV77QtyhZs2XSvRYscZQcCfhHie/fOq6ggJ6cGScYkKBRs3Di1Y8c+hIebtm/fvuEaAgDUQoWHq/Bm7l43uQsX7/d7myLkNO/hsnrv5l4shJDFjNOX0mYuPvLwUwHbsveUrYeXt6fhSEohQgiXtnE15YrBm7nu3BQwdeu9ONKk5/Qdh1wSF7tsDhEb6arS2rnMGnxp1d1kqrmNGau6r1Km26329cEWrjp2/32GWNPGcdrGvet7aNLtr18QL1h/+kl0FsGx7Oq8eMc/A9Qr3jBAZCan8qVNvKn+tv3mKeaKXZeff0jjUjUt7YfO3LimxbERc97gXbcemtuKQW+5b8ul5zNvLZ/v1XeVApVsm2YK6yv+ckQ8oVartmMeRci/yyV7vcjP5KwlkL3XG36R6PAyM2VH8aPiF5dYjZrQ/z8v+Xc5aoSVlFAdpzSV70ry3kx8/aoF+RhoHNHRt75+zXN3123ohhgMbPx4lZMn75iammppaTV0cwAA+WFwMzFQCHwfdIOK+VB0bM4pRfOxV8zXO55D/lBvBEWClUORv/8pZQfyQ3p8PT70YZyi+RhlGjl9U8MFpRjvNen9e74fOPBL3auC74MG1RMKM//7z2PUKA1zcymPvDeEFy+EMTGcSZMmN05zAAB5wAwMAAAAAIASBAb6mpjQGy0ZQwg5ONDy8zM/f/7caC0CAGoE+RgAAACgdETutTHLO08OyyIRQmTquSMdLU7eTIU7WH5iAkHG69cp/furNmajOI769WM9ewbfSAZAE9IY+RiZenGcIYXefPaDwkZoDQAAAPjh4JqjjkzqG3J5/dUCUVLImhVpg4+PH2JYnwufgyYmPPyJmRldS6uxn5xs1YpSVJSXlJTUyO0CAGRp+HyMzLyxYuk18W87fHYOUGvw1upB8UVnFkY1n/e0Lt/+VS+VAAAA+HVgOm3Xn7T/tNRzzv9upEybsvo3NmRjPzMiIiLOzo7d+A1jGOrYUT0yMrLxmwYASNXg+Vjxkw2Lb+gvueI9ry2r3ivP8x6rwXa+WNzY+wIAAAD1T7VH/6k2X2++Mp4yy7z0RJ0oerX7WG+dvWfTanHvIo/HE4ngqyybovz8mOxsQbNmylkat21b0bt375TSNACgqgbPx1T6H/ia93prb40GuMxX6H/zcWEtb66vy75yUBl/tYQUxe/vo/ii/gAAAH5NZJr35X2J9vNHZexa8DqNQAih4vsBt3XtB7eg1KrCjIyMw4cPx8TE1GuYoB7ExUU1a8bAlfQUv4YGzmRSMzIylNM8AKCyb58EZNbJwUyM3m2j979OJpxWy4OFgji/tc5drfTVVDQte7qdiCj6thmt7dJzR127mauzVAztJntEcBWoASFR0t0N4xwstVh0loaRrePMo6H5JELVNEfvts3fd4WTtRZbxaDjRI8ILkLiyA0dtUedyyZ411xUmQM8EmNurB7VyUyDSWOom9mP3fIknZC5e+F3+1Z30VGhLnxT4X7Fshi23D3n3tVIhaVlO+ZgWFbE0cl2Bqps3fZ/en7glzYVK6ULZH7I3vEdDVVYGs36LTh/fIYxhWI484GgLrEBAABogkSfAxYvTh95bNySA5MGRl5afDRDhJDKwMHrJxjU4f6SnJycs2fPXr9+vbgYbghpQhISks3MannJlsz5tKrrfGafxwlE7QMwM1OPj4+v/f4AgPrzLR/DGEwGhoj40ys3PkzmlvCKX20YMXbztZdfM4q4eXGBx2eOWvGoqGwzcczRWXNOBicU8LhpYV7z/tz+ViR3DWSa16zxf18KicvlCXn5aR+fnVsz90BY0ctqmiNijk+fvOPB59wSbvrbCwvnn4j77iOIzL00f8aeW+FJBXyRoCAx9PLa8UtvFsja/WSKvPkJX3pU0rsg41GxshiOzfzr2MtULi/3w7Xlfw50me8Vll5ckhVxbuHaazkkQkTimXlVu1D8eNX4Jd5v07i8/Fj//a6LLmaQiEqlYvUUG/hlkRnH56q28whX7EamavYic57+11W9e5/9aVXPD/hXVrAwewzr1nN3MoGI5LtHRrQfqMrort3ir7kX4nnyty9Kv7thpUOz/ix6N3WzP8dteSVpTBSyvyXNHsPK/sP7TPYVSC0UBu5uRrXHsC7NFoXDQQGaFl7i4Sl+uW6TF3ZjYBzr5R4OaWtOHX5bX+/TiIiI//77782bN+UlYrH4/v37u3fv3rx589atW48fPw7TaI0pM7PIwKA2+RiZ93Wz+5N0A04dp9YMDemZmZl1qwMAUD8qHM44jiMkTs9tti4oszB6o/D0yXd8psPaZ6lcbnrg+m70OK+jd/JLNyN5rD57wnK4mcEbe6khQZSvX7RY3hrEyZ++FiNO301B6XySJMSCoowXa1oHnaimOXFWjulS/5T8RB/X5hSSFxr8VkBpu+7lk4WWFMQcfaGI93DFYr8MrkBEEKQw58kiWyqRG/E2Xixj95clyyvs+8DdQNa9lPwA6VFJ7YKdrM/V0hiK22yLyIg5O84AJ7lRCZY7I7Jiz483ppBFEWGfRAjhpq5Vu/DlxRWfBDFuOOJQRG5xqv+StkhMYhiG1Vts4FeF6bkeKIpwb18/63qReS9Ouh/INtCTeVsy1Xbaa2HQ80XG6OuVPyfcVVt4ICH/4ZsDrUJmL9sQIpCvFSL57L+TT4omnruYWfQk6nSPlB0r517KIxEiCouLDcY84r8mydck+Zoknp4dTpdaSOuxKEb0wu9PNVgmoWmqt9S9kuouFjShFJ1pOjdw5+315kyEEEIqPZ0fZS2b26EeP7xLSkr8/Pw8PT0zMzP5fP7evXuDgoIKCwtFIpFAIEhOTj5//ryvr2/9NQiqk5XFq9XKiuKXF6Pb7Ji2qAuzjh9jmppETk5O3eoAANSP7y+vYGq/z5rdVYdFL/j6OZsgS4I39jJks/V7/POCSxSGvYouvS6O64+cP6O9Jkuni+tEBzoSxcfEi+StgWo7bFRrVqH/mu5GWsYdnCav8HiWws/8VF1zmPrgBYt6GXJMBo3pp42TwpKS76/PC+N9Vw3rYKrJotC1+u2OEiFSLBKXzYLVvLt0hKyopHWhhr/kmMZAt2ltdC2HDranI4zjNGNaG22LIUPtaQjxSniyupAXG5tN4Jq/z5jWVoNt0HvxX/0ZWP3HBkDdCN9ffNR8x9lJXTg1nh8QHy74vuw4cdufLbSYbPOBrmuG5p7xfMuXqxnceOruzLgdc7vrqdKZxv0muvXmhQR+FSFEFhUXq7BVK3+aSS0ETV99pO4V1XCx4NdL0RMSEjw8PA4ePFhUVPTdr8RicVRU1LNnz5QS2C+GKCkhVGvzAUXpOnPISAtK3d+wHA5W9T0AAFCK7z8LcHUdbTpCCGFVj3UiOzNLXLZd2TOoBEkghJXO2chXA8thY0Co34EVUwa1U00K8Pr3L8c+S15U/TNboTlcTUuThhBCGIvNwhAiv7vfkEg5M2vStpvhSXk8olIw8u0ukyJdWPy42o81XFVDnYoQYjCZCOHq2pqSHxhlTcjoAkkihMr7UzHweowN/MTI1COz1Lp5XNyzsp1ed7qKU/s/zgXlkd/uPBSke40ZbD75cQaJECKSzi0zslh7JZVAZPHbE9sGtB2sye6haTFl0u7w7GqOGlqbmWv7WtDliack/E2CgZ2NfunnB7O9vUXe2+h4ceWt8m4NZ/efeqvak29xZlIKMjLRwREqKeCKVFRVKx8SUgvBj6MuqXsFClwsaJrEwfNXmVL//jf43XLDmRa/BaTXw+PAYrFY1ok4n89/9uwZn6/wQAOFCARcOl3Jb0k6nRAIanGJAwBQ/2Rdm8F1rFvq4JhK782vMvkESZIkSRLZnkNKF2Yl0m4eOfsutzgj+ITXSwGimDc3/37tp+pqwDg2Q+ZsPen34mNK1H+DOKK4R6GMFtU0Vx0iNS6hMCrsHZekWrn7JuZlvD832RJHZHFhYY3PuRKpcQlcgVDWdgp14eHD6LqsKSz+HC6lC8jMQgMncu97ekUXcNMCdh95zCcbPzbwI6NQKaKom+fyR9744p8VtrjDm0NTt0V9mzHF9SccWfV7yJ6FV7NFSXfnrYh1Pr7U2RDLu71r+MJ3rf4++DXn0YeLTnk7l/7lnVMP54FEYXYOqaFVflEY19BSRTl5Od8dgxpDfLmPPYdUk+EJog7v3pc1YOU0MwoiCguKxdlBK/uO1GJ1UzUcP2zF4698qYV17wBoNPKl7hVJTeMVuFjQNFEc9m1JJD1SSI8U0iPuYW/9Bj+J19DQiIuLa+hWfnEkKe2iauPCMFwohNtnAGgSZN67zOg1dUprz60BqzvrrkYIw6hMzVYzLjzb60RFCCGMnnvbvZ2WK4kQQhjT3nmETZW1eGXV4BC8qM+UE+/Ti4Rl0z241oAOI6dRj5yW1Zx0GIPJxJAgaKWtbutBbahYwheP4aYeCGObmGpRxHEHh/bQfPzQuqZ9NS5vevtyta3UpYQV6kJbi9otRyxBMbEwrdqFUavH9zOk3Ei+Mr3VlekIY6uwyz/BGzE28KNjdP5reVdLFkKc3+a7nOj5KDRObKte9ktMp+euk296T14/sVlc4rR/z/7GwRD/mbd/4eDVm52bqSGEHMaumXTld++QvHED6yWcivO8kn8rdmJCFgTvWD32IL7Kd9kIXQwhEjeyHdIDGzx3nJcdJ/+13zyXdaNoHn4dqxYahG60hWcpfwyS1L2ztNRd1qeZxhBf7pDGis/TMzshoea5BU2Xhdv37G2EeOpRZmbmxYsXlR3Fz09ZK92XEwopLFb9fzEsAKAWZKc7jC7rrl8QL1h/+kl0FsGx7Oq8eMc/A9QxVIwQQrjBhH8XFJ/Yej2qSNtuwhbPxW2k/IWUUQPmuGTbrJT1px5HJuYIaFoWnYbM2rxjnJHuaNnNyYi9ncuswZdW3U2mmrcftf5/9BXb7sWRJj2n7zjkkrjYZXOI2EhX5s1KFfa1MZf94IBCXdCpy8UuvJnrzk0BU7d+1wXTbit2Wotn7X0YTxg5/Pn3wAT3lX6lty82XmzgB4fr6hiWZiGYtq46yi8qIJF6hQ3UerjMtnF2D7Q77mWrghAiSzKzeHl3lnO8v21Ds0tNIZBuXUPh6GpjuVkFZSfVRE5mPtLR1Jb/xESc4Tt/wQx/m72PV7hYSWY9cOPR8y+PLv29avcxm2fetLsUVPh31cIXH/+2lfZZBZqouqbuDWjqVG15Nltgs2zry3gWR73mTRtGQkKCp6enQrtwOJxu3bo5ODg0UEhAYuPGDSIRKVkvWSn4fBqd/gNPHQPwM6mQj6mMv1oyvuLvGM1HbfMbtU3qfmJGm7883syrXChnDVTj39d6/772+yqlb1y5TlrvfXGifWU/0dvOufFlTtlPM0Ys/bab78e5pf+StXulfWW3qFAXpFdCq1gha+zlkrHllTt7c8tv1OI4LPH5sERaF/yi1yKExEVfvGc6Ckhc10AXr0ts4FdD5uRkiiQHO5mVkY80ORqV8h8i2Xv35sQBq0eF/bPggdN5J2OcrafH1pu6I/5kD2blmur83aHMjp0t0m9HJRPtLXCEyOLXwbG69rPN5MzHyPyHSxa4vXI4/2SOo275PoK4p09CaJ3+6K6DI4QQKRCIEIOSGXDPm/FdIZx7/DjqnroDmSgUCkEQpLRHqel0enFxcUhIyOvXr1u3bm1ra6uvr9/4Ef4KtLUZOTliPb36WeS2FnJzcU1NTWW1DgCoCP62NW1c/xVdTLXZVBzDqGotJnolECqdxo6whiv8QAFk8UuP/eGpJaKCjw/2X0xq3t/evMKBL/p8zXVxvMuxJf8cWD0ycpfr0UQRovUa24fpe2rz/ZRCoSD3U8DyvmP+OCVlrXDF4S0mjO4ddWHl6S+5PG6M35EtD01cXdvJlyaR+Xf2u3qb7LxWMRlDCFGLAr2mu2z3eJXDE5UkPvVaeTTJ7o8+2kFVC3s3h0Pnh8Hs2Nki/XVUsuRtV5q6t5Y3dQcymZqaurm59enTh0r9PhOgUCgsFgvDMAcHh9GjR4vFYm9v74MHDz558iQ9PV0p0f7EtLTUsrIUf7RbEOVmMBPD/mq9JoEb4G1OcccYO/bG1ubp3sxMQltbrmleAEBDU9qFGSAXdu+F2+cmrfa4E5ZQQKqZtHeavmHXotbwqgFFUCz6DqF6D24WEFWg0nrEfM9lLb+9g3ifdkw5mu22b203FoY6bfIY0n3k+h0OR1YOWnzj332L5v6pH1uEaZn1Gj99zzgDHEn/my+4v9ls0PV0yXnzm6GU+Yjec1H00wmW0k6dcbPhnpdyZi2abTpboN2yo4vntmXtqryh824NN9qlfflu5SU9RIGXnySmFkw26TK5rIjhuDLmgXObpdsucHetGzlyfoZIxdh64OwdxxY0MyKqFsJzlD8QvMWE0b13nlx5uvMhF6Pc+0e2PDRx9ZczdQdSMZlMR0fHTp06YRimp6dXUFDw4cMHBoMhEAhUVFT4fH5BQQGdTp88efKNGzc+fPgwYsSI3377LTU19f37997e3jiOw4xZPTIyMkpO/mJry6x504rotkfTjhytjwASEwu6d+9QHzUBAOpK8TP7KjclgoaE6/dddi5wmbLDAD82Fft5i8IWVSrScz1Q5IoQQu0D768sK1TtOS8iS/JPeofpKx9PX1lpH8m3SLt+XzvdaXWaeLXcweD6/addfTutuk00Bm1Z/eAo67vnKmiDPR+LpT4JQzMatmnXsE2VCynSCsGPQ1bqTmb5DjE7YHz99rHfKy/OIi2Nl3WxwCJHRiU/LVtb20GDBqmqqpaXDBs2rFWrVqGhoSkpKVwu18DAoKioKD8/v6CgYOrUqSEhIceOHevTp0+XLl0MDQ0hMat3Fha2d+9GKav1/HwyLi4Jw4LS0tIsLCyMjY1xpS8wAsAv7JebaSFTL463m3idPfPW2/8GqDVOm0Tc8WH27g8Nl/qHbOvGbpw2AfiBieJuPlPr4f7LfTyByqSn7pjO8Nvc4VI2l5bGy7xYIKuSn5CGhsbgwYNbtGhR9VdWVlZWVlblP/r5+YWHh1+7dm3WrFkODg7W1tY+Pj6SiTJNTU1DQ0NIzOqRiYlVfj6Zny9WV1fCxH1ampG5OcPBwSEuLu7OnTs5OTkmJibm5uaQmwGgFDIPOa73GBZGNZvrX6cvpyi+6MzCqObzngqrK+dHHZ/UQZ/NVDVx9eVW+bE+kZk3Viy9Jv5th89OxZIxWR2RC24x/fSFeTYx++dsD+U1QP0Kasy2AJAQRZ20p3XruTtZrofQqM1W3N3YEKuCCgN3N6N2H3amsB6+Sw00NZI0vurtr780XV3dWbNmSU3Gqurfvz+O4wwGw8fHByGkpaU1depUGxubY8eOhYSElK//IcnK5s2b5+zsDM+Y1Q6Px4uMjNTWZoeHlyglgPDw/Pbt21tbWzs5Obm5uS1YsKBLly4lJSV37tzZvn37uXPnnj17lpiYSBD18dwwAKAmTeEvl+DJ7lUXwjMJhLKziwgkCKj0Y30qfrJh8Q39Jb7e89rW6Ts38rzHWkwVH8m8Ol5Fvh0wnQE7fI+n9/1r/iGXp4tawkMsoLFIv8OwkTHGbCtpGgkQrceiGNGimrcDyiOKOmlPO9tj15WARcaKXaOnNltxd6OizQkDd7fscz5WjFsuVHTXH4JCXzCloqJiZ2cXFhaGYdirV686d+4sWdvju4my8u1hxkxRPB7v48ePUVFRCQkJlpaWLVvav3oV0KOHCoXSqKve5+Toxsd/GTHij/ISJpNpbW1tbW0tCTIhIQHmzQBoTErKxyo9hCbIzSkkcL2Jlz54jtSgIW7lH+u12f4HvubVbs+KARf633xcSPZRrAaqucv5WJdaNV7P4AlAAEDT1PipO6TolfXq1SssLAwh5O/vb2ZmJkmrJBNlISEhx48f7927d5cuXbDKXwQHiVn1vkvD2rZt6+zsLPnur9jY9+HhJXZ2jfoow+nTH3R0DKV+4QGC3AwAZah4OJF5wXvGdTBQYWs06zv/Skylu9kEcX5rnbta6aupaFr2dDsRUfR9ReLUx9smdmumxWKqGduN2XAvucIqrhSUenPFAGsttopBx4keEdwKt8zxE/b30Z5wnYeIDK8x2hzn/3ZU/HHMxcKsk4OZGL3bRu9/nUw4rZYHC2VEIkq6u2Gcg6UWi87SMLJ1nHk0NP+7TxpZXZAaOfldu0+8SgPmRW7oqD3qXDbBu+aiyhzgkUbW3LQg9sbqUZ3MNJg0hrqZ/dgtT9Krn/arYfuy2LbcPefe1UiFpWU75mBYVsTRyXYGqmzd9n96fuBXW0+F+xXLqtrm77vCqeILBAAA4NejoqJib2/P5/NtbGyuXr0qFJaeCUgmyqZPnx4VFXX69Onc3Fypu8OtjBXxeLzw8PALFy7s27fv48ePbdu2Xbhw4dixY9u0aVP+Rcz9+g319y/m8xvvMkRGhrFIRFNXVz9w4IC/vz+PJ+MxCoRQWW4G9zQC0NAqzI8VPVo5fumleDFCKPbpAfeXDH75r/gvN4wYuyWCRyKEUFHg8Zmj6BbhBx2/rdMkjNw+atjqEC6JEEIpYVf/Hh2PB75YI1lIlSzwXf6/xIRCAiH09sLC+Q6/P6p2bbWKMAaTgSEi/vTKjTHJPDNe8Supkaikec0a/7efJA/ipX18dm7NXBP7p2vsyufXZHVBVuTftSv7USuypqaJxDPzZuy5l8MTiUmSnxh6ee14ZpvPZ4ZzZFRY4/alYxJzbOZf8fFFJEIfri3/M87iy5soHolQxLmFaweNuOyiRcrRbllVx6dPjo0pqPACzbWAC18AAPAL6t69+5s3bz59+mRubn7v3r2hQ4eW/0pLS2vKlCnVTJSV+5VnzKqZDavK2NikRYsWDx8mDBki66SgPpEk288vpX///p06dcrLywsICDhw4EDnzp0dHByYzBpW3od5MwAazrfDRhB0xSdRTDEadSQyrzg1YHmnb7cK8gNOnHzHZzqsfZbK5aYHru9Gj/M6eif/Wy2CF8eOvObiZi5nPxcWJ99f0J6Nxfhcf1s6RUbkFlgu80/JT/RxbU4heaHBbwXf2jeb9zTbayQTUcznPRWU+MxdWvHH6xNUcRxHSJye22xdUGZh9EbhaamRiJM/fS1GnL6bgtL5JEmIBUUZLyokY7K7IDPyyu1u71r2yBel7bqXTxZaUhBz9IUi3gN3A6KmpnFTV78MrkBEEKQw58kiWyqRG/E2Xiz7Jalxe0lsWcVttkVkxJwdZ4CT3KgEy50RWbHnxxtTyKKIsE8iOdstrSrHdKmMFwgAAMCvRPIUGZvNVlVVjYmJ+fDhQ8XfyjlRVu7XmTGTZzZMKkfHodHRwk+fqpunqifYkyccBoPVqVMnhJCGhsbw4cNnzJhRUFAgz1xZRTBvBkD9Kp8fI/Pi43IJXPN31ylt1Bmo50L3/v8G3kQIIURkfvqcTZCC4I29DMselqaEvYoW/dFVsjuZFfU+TYzrDJw61kqVjgbseVu0R7JZMUIIYeqDFyzqZchGg8b00z75taCkRIQUe3QVU/t91uyuOiwi6auMSNoNG9V67xb/Nd2Nthq26d5/oLPbvGm9jMqzIlldEPaoPvLSdhGS/alCta2+aYSE8b7r56w7+/xjSj6PIBFCVLFIXM29CfJtj2kMdJvWRpdlMtie7n2L6TRjWhttltlQe9rFm7wSnkLtSnuBAAAA/KK6d+8eFhYWERExdOjQW7duGRkZqaurV9xA/omycj/rjJlCs2FVZWZm+vj4qKvr+vikT5lC1dNrwKf6IyNN376Ncnd3r1goycoUnSurCObNAKi7qkd+6UcqSX5LQaR8zBLZmVnist1JgiAl/5PaBq6mpUlDCCGMxWZhqIAkkYL5GK6uo02vNhKWw8aA0G5nTl+99zQwKMDr34feV9/fDdvfv+yWShk7imqIvKzd6tTQNJFyZtakbbcLSYQQhmEYQtXfJi7v9riqhjoVIcRgMhHC1bU1JT8wynqqQLvSXiDwAyF5xSj+ZZayw/h58IqIoiI9ZUcBgNKoqKh07NgxKSnp7du33bp1u379+v/+97/vMq7ypRdv3LhRdenFavwciVkd0zCEEEEQL168CAoKcnR0tLOzi4yM9PK69b//cbS0GiQl8/Ep+vgxfOrUqSoqUhaGrntWJgG5GQC1U37YYxrm5po4/yhFOQAAIABJREFUkXn/1IVPPceqvdlz9GnZ86W4jnVLHdw/v+cm/6tLOunQq6Q2uJ6NjS7+JO2u58XPPcaqv908csiuKH236+/2dqnfaKuLBOPYDJmzdcgchAQxh0fazX7w8GG0qL89tfodBY9qGzmRGpfAFVgx6TS82qbFn8PfcUmqlfu1J/92K7y1eOifZ+KLCwtlTrgpun1D1wOaOgxDxsYFD0/BtyjUG7EYs7dPUXYUAChT9+7d//vvPyaT2aVLl5iYmICAgD59pKwqXIuJsnI/YmJW9zRMQjItxmKx3NzcJHOPbdu2FYlEp07dc3FRMzSsz7WlCQK9eWP48WMUhmHV30NYX1mZBORmAMjv22UYerfRw41PHE28NLXlpakIV1FjYxgpWQ6V0WvqlNaeWwNWd9ZdjRCGUZmarWZceLbXSb30Y5fey3VGe89/wrz/Z+39P4QQwui27n90pdcwFaQ4WZE4BC/qM+XE+/QiYdncDq41oK0FpcYdnWoROcZgMjEkCFppq3F509uH9sf6V9c0xcTClIolfPEYbuqBMLaJqRZFHHdwaA/Nx0HrOkm5Cqbo9rLIruehtfy1gB8B6eFxU8tYS9lhAFB7L++ipMgq6/YqSUqy/iDHcGVHoWSSKbLs7Ox79+5Nnjz52LFjlpaWZmZmVbes9URZuaafmNVXGoaqTItV/FXHjh1ZLNbZsz5OTqodOtSmcmnNqV68yI2JCZ82bVpeXp6Xl9fEiRMNDAyq2aV+szIJyM0AqF6FE3xVp81n/k523/0oAZn0mLppTNbs2eeEAiGJEGJ0WXf9gnjB+tNPorMIjmVX58U7/hmgXuEaGN1uta8PtnDVsfvvM8SaNo7TNu5d34Nd+hRWfZIRCea4ZNuslPWnHkcm5ghoWhadhszavGOcDlbjjggpHjm1ncuswZdW3U2mmtuYq6nX0DTezHXnpoCpW+/FkSY9p+845JK42GVziNhIV1X6NURFt5elvuoBAIAGd+PGRWWHUImRUYGyQ1A+yRSZgYHB+/fvhw8ffv36dXd3d1nn5XWZKCvX1BKzekzDJKpOi33HxsZGR8f10qULoaE5Y8aoq6vX5cYHPCnJ2Nc3Rltbp1UrzeDg4NGjRyOE5EnJUMNkZRKQmwFQFSbrCwEBkOrLS9/rWxYv9Vmq7EB+TjEfio7NOTXmUYT8u1zurLPMZwnMj4Em4vH1+NCHcf3/85J/l6NGmEeKR8OFpEQLbJZtfRnP4kg58/4hPHjwoLi4+PPnz7Nnzw4ICCgoKBg7dmz1u+Tk5Ny4cQPDsFpMlFUlScyioqIaMzH7Lg2ztbW1trauSxqGqp0Wq+rChQs8Hi8jI83KiurkpKqmpmhWhqelGTx9mpeSkjlgwIA2bdoIhUJPT8927do5ODhERUXduXNHnpSsnCQr+/jxYz1mZVWV52ZxcXGQm4FfTQOu5AMAAACAH5dkiszW1vbRo0eDBw8+fvx4aGioZLV0WeploqxcY86Y1ftsWLkap8UqCgoKKi4unjp16u3bt5OSkvbvzzYxUencWc3KSkyv+vx+JVhBgcanT/SIiMz8/M8ODg6jRo2VxE+j0caNG3f8+HF9fX1bW1sk9yyZRMPNlVUE82bgVwb5GAAAAACkkDxFJhAIoqOjO3fu7Ozs7OnpaW5urqOjU81edX+irKqGS8waLg1DCk6LIYSSk5MDAwNnzJiRnZ398eNHFxeX8+fP29r2DA2NvnEjSVtbzchIVUuLwuFQGQySQsGFQpzHw/LzUVYWPyUll8uNbd68ea9efZo3b/5d3qKuru7s7Hz16tXp06fXIiVDjZWVSUBuBn41kI8BAAAAQDrJFFnPnj3v3LkzdepUR0fHK1euuLq6Uqk1nD/U70RZufpKzBo0DZNQaFpMEtKVK1eGDRumrq5+6tSpvn37vnr1ysHBoXPnzp07dxaLxUlJSZmZmdnZ2cnJBUKhUCwW0mg0Go2mqanZrJlWz55Gurq61QyyhYVFz549vb29p02bVruUDDVuViYBuRn4FUA+BgAAAADpJFNkBQUFQqHw3bt3dnZ2MTExDx48GDRoUI37NsREWbnaJWaNkIYhxafFJHx8fFq1atWyZcvIyEiBQGBpaenv718+zhQKxdzc3NzcvC6Bde3aNTU11c/Pb/To0bVOyZAysjIJyM3AzwryMQAAAADIJJkiGz58+N27d1u2bDl06FAPD4/mzZtLTotr1EATZeXkScwaJw2TUHRaTCIoKKioqOiPP/7g8/n3798fN27cs2fPunbtymAw6je8IUOGeHp6BgcHOzg41CUlQ8rLyiQgNwM/E8jHAAAAACCTZIosLi7OzMzs+fPn/fr1Gz16tLe398yZM1VVVeWpoUEnyspVTcwwDNPV1eXxeOnp6Q2dhqHaTouhCo+NUSiUhw8fWltbs9nsL1++yDMJqaiKa3tIVo9EdUjJkLKzMgnIzcCPDt6aAAAAAKhO9+7dIyIiHBwcXr16lZ+fb2pq2qVLl2vXrin0lTmSiTIbG5vjx4+HhIQ03NftaGpq6urq6urqFhUVZWVlZWVlsdlsSUnDJWOZmZknTpyIi4tzc3NTKBmr+NhYRkZGZGSko6NjQEBAQ0yOSUjW9rh27VpeXh5CyNbWdtCgQV5eXmlpabWuU5KVzZgxo6Cg4MCBA/7+/jwer/5CVoAkN3NycnJzc1uwYEGXLl1KSkru3Lmzffv2c+fOPXv2LDExkSAIpcQGgCwwPwYAAACA6kimyCQp2f379//4449evXrFxMQEBgb27NlT/noadKKsmpsSG3S5/FpPi0mUPzaGELp9+3bfvn15PF4DTY6Vq7i2B41Gq/ssmURTmCurCObNwI8C8jEAAAAA1EDyFJmbm9upU6fi4+PNzc1Hjx599OhRS0tLY2Njhaqq3yfK5Hk2rOGWy6/d02Llyh8bQwhJlvHo1KnTjRs3Gm5yrFzFtT0QQvWVkqGml5VJQG5WBVlcnJyc/Dk7OzM3N7+kRCAUijEMp9GoLBZbS0tbR8fExMSmod+HQALyMQAAAADUQDJFFhwc7OTkdPfuXTc3Nw6HM3To0CtXrsycOVPRk7a6T5TVbomOekzM6jgthio/Nla+jEdubq6syTGBIDsrKzEnJ62goEgoFAiFBJPJoFIZ6uq62tomOjoK5xIV1/ZA9ZqSoaaalUn82rmZODMzMiIiNDo6vahIbGxM09Oj6uhQ2GycQsEwjBCJ+IWFJdnZ6dHRESkpvlpa7NatW7Vp001Do/6f+QTlIB8DAAAAQM3Kv4uMyWSGhoba29vb2Nh8/fr11q1bkjkWRdVioqy+VkqsY2JWx2kxVPmxMYSQv7+/tbW1iYnJ/9k777imsrSPn1RCCC20SICEJlWKKL0pVVBBaXYsiGXG2dHZnZ0+++6+O+/sTh8bYsGGBRDBQlMREQQFCxZQ6SBdeickef+4M3diGkkIRed8P/4hN+feey7cJOd3n+f5PWlpaW8Gx8bb2sqePHlUW9vR0TGmqYnX0MArKWFJJAyBgBkb4/b3c+vqKl6/Hh8Y4NDpaiYmc62snFVUJJoSn7cHkLckA7NblSH8mbQZq6rqZmHho87OsXnzSCtWqM6ZQxD/huNwQEPD2LNnzw4desBk0tzcAvT09Kdrtn8uoB6DQCAQCAQyMUiIrKCgICAgIDEx0dramkQiBQQExMfHl5WV2draynBMCQNliAx79uxZQ0ODkZGRHJ0SpRVmkw+LIfCWjSE2Hjt37uzq6kKDYxzOwNOnOYWFz8fGONbWigEBFDqdgMOJXD6PjHDq68devnx88GCJnp6mm5sfk2k84TQQb48LFy5s2bJFTU0NTIEkA2+DKkN4h7VZR0dpRkbu0BDLw4Niaakm4RVgsYDJJDKZxIAA7sOHA0lJJw0M9P38QmR7BgERA9RjEAgEAoFAJAINkZmbm+fl5QUGBuLx+PDw8BMnTujr61OpVNkOKypQxifDbGxswsPDp8gjURJhNvmwGAJv2Rj43caDTCbn5OQ4OTkpKOAqKzMyMh6qq2P9/ZWNjSXKBSWRsGZmJDMz0pIl3CdPhq9cOa+srL5kSZi2trb4Hfm8PcDUSDLw9qgyhHdIm40UFZ3Lz29cvFh5wQI12Uo18XjMwoVke3vFgoKO+Pj9gYHB8+bJ8vwFIgqoxyAQCAQCgUgEGiJbtGjR/v37FyxYoKmpqa2t7e3tnZKSsmXLFhwOJ9uReQNlz549Mzc3r6urmwYZJohQYWZpaTk2NoaY0U8mLAbeLBsDPDYeSHBs8WK7pKRf29qGly1TMTKSxUoBj8fY25Pt7MilpUPHjx92dHT08vIVnwjK5+0BpkySgbdNlSG8vdpsfPx1SsqJwcHR7ds1VVVlfG+i4PEYb29lCwtSUlJGY2P9kiXL5Nvb/c8M1GMQCAQCgUAkBQ2ReXp6ZmVlrVu3DgCwcOHC6urq3NxcPz8/mY88MjLS2NiooKBQW1vb3NxsbW29e/fuGbR3Q4VZeXl5Zmbm6OgohULp7e1ta2uT2ZWRr2wMtfHAYDD5+fleXgYJCafNzEgrV2ri8ZNa6WIwYOFCsoUFKS3t4YkTtVFR6xUVFcWM5/P2AFMpycDbqcoQ3iJtNjradObMaTU1TGSkphyno6ND2LaNmpT0IimpPzx8lcyPYCC8QD0GgbztYP67LxijDEts5QeXq69et3NnyUzP488CeV7kR19FEUlT1R1YWrCj/TtjC+n0vpmeyCwFDZH5+/vfv3//xYsXSBFUSEhIXFyckZGRsfHEZUu8CE1KHBgYSE9PP3v2rHx7lEkLX7XY5F0ZecvGAI+NR1dXFw5Xe+vWQECAyrx54oSTVFAo2LVr1XJzB48dO7Ru3SYxOZaC3h5giiUZeJtVGcJs1mYsVtf584k6OtigIPnXehGJmNWrVVJSWtPSUleuDJ/9UbIfftgzOsqa6Vn8xvg43t5+8bJly3g3Qj0GgbzdcLmY21mqkV+qzfRE3h1GBtjHfrWHemzaYKl7FmeorvtspufxO+e+U/Fw0YZ6TAxoiCwgICAjI8PExASHwykqKq5YsSI1NXXbtm1KSkoTHkR8bZh8e5TJhmC12CRdGfnKxlAbDwDAs2dpz58PhIerGRrKOR6IwQAfHyUyeejkyYQtW2LJZLKokYLeHmDqJRl4+1UZwizTZmPp6SeUlMBUiDEEHA4THk45darh+vVrfn7+U3QWeXH2bP5nn3nM9Cx+o6CgIykpCeoxCORdg6QEPGTxmoYIZ2yAnXWMPdOz+HPhGDiL7uHmBx0zPYXZDhoiCwwM1NbWLioqcnd3BwAwmUx7e/u0tLS1a9eK2ldyi47J9yiTmQlNFGUQZnxlY4DHxqOpqbikpDk0VP5iDMXFhcxmDyOSDDHtEIqgtweYFkkG3hVVhjDj2uz+/ZTOzuGYGI0pOj4CDoeJilKKj3/EZBqamppO6bkmz8qVFjM9hd/Q1mampNTybYR6DAKBQCAQiHSgITI/P7+jR4/a2dlRKBQAgJeX1/Hjx4uKilxcXHjHy+yUOP2BMqlMFCUUZnxlY4DHxoPN7rl6NdfDg2JqOrWVcu7uiu3tQ9nZmUuXLhczTNDbA0yXJAPvlipDmH5t1ttbce1a1datmmK6I8gLRUVsaKhSSkr6++/vmsFSz3cAqMcgEAgEAplxON2pkd/+n+KqzJP2mhhuy+lDQV8Q/1W0aemc2VmZwRsimz9//vXr10NDQwEAWCx25cqVR44cYTKZc+bMkYth/bQFyibTW0y8MOMrG+O18bh585yyMm7hQpFphHJk6VLFuLgXaMmfKAS9PcA0SjLwLqoyhGnRZpycnExXV4qGxjSt8BkMwty53Js3bwYGBk7PGd9JoB6DQCAQCGTGwaqviFtX5Hr26wvGvziXf/FJa9Dxj4NnqRhDQENkHh4ee/fubW5u1tXVBQCoqan5+vqeOXOGRqM1NjbKy7B+qgNl8uotJijMxsbGsFisl5cXOobHxqPswYOOHTs05XEFE0MkYpYtU7p0KdPY2BiPF7kCFOrtAaZXkoF3V5UhTJE2a20taWgYXLFigqZz8sXHB7937yM3NzdlZWXhIzh1NyNtbtpmf/WlCx4AAMYbv5v/fXHMl8kfaM68D+WsAOoxCAQCgUBmARjNeV8fq1yxPuF9o9bmzdv2+pJnsxp7M0Tm6+ubmZm5du1aNBqmqKjIYrH27Nkjx75hUxQom0xYTAyIMLOwsEhMTLSwsEhOTkYiZjQaDbXxyM3NdXVVUlaePsdwQ0O8jg63pKSEL6GUD6HeHmDaJRl411UZghy1WWFhkasrZZLNEqSFTMba26sXFRX5+4sw9sAyHDcsufr14YrdLvMoALBK7qU3m+9erQHF2O/A3wQEAoFAILMDitviTebVV0roG3cyyAAAwO3Ky4i2+qsRcZf9whPJL6X1mRkfH5+CWf6Bq6vr48ePOzs7AQCvX7/+8ccfX7x4YWNjs2fPnp07dw4ODr58+VLuJ0UCZebm5keOHLl79y6XO6lOCR0dHUePHq2rq4uNjZWjGENAysZCQkKCg4M/+OCDsLAwNpudmpoKALh79259/Z3a2gFHx4m9KOWLtze2qOgOmz3B3YR6e7BYbxiFW1paLlmyJDExsbW1dSqn+QaIKtu6dWtfX9/evXvz8vJGRkam7ezTCaLN/P39Y2NjP/zwQ0dHx+Hh4czMzP/+97+nT5++fft2Y2Mjh8MRuu/w8KvKyr7586cj95UPR0duWVmZqIkBgFHy3+6gkHY7s40LAOte4v3hEI8Ardn9xGlagXoMAoFAIJBZAbf1fPIvjQv+sqL9hw9LWzkAgPHWVoXQhK8r+r89teL1r/trpOyg09zcfPz48devX0/FbEdGRqqqqkgk0sGDB1+8eOHi4kIikUJDQ62trYlEIoFACAsLy8zM7OnpkfupkUDZli1bysvLT5w40d3dLcNBOBxOQUHB8ePHHRwc1q1bN5kcRVHwlY3NmTNHR0dHS0trzZo1bDb73r1COztFInG6F6U0Gk5Tk/T8+fMJRzo5Oeno6Fy+fJlv+4xIMvBnUmUI0mqz8vJiExOSgsIMyBw1NayWFrmqqkrkCJKHZyTzReKZ1+zBFxfS8KEx5pRpnN+sB+oxCAQCgUBmAeOV+R991BZ6OOqve9cFPkn6KL59HBAsV/mscFRWUCARAJfGVJX+S7u+vj4uLi4vL09orKyhoaGoqKi0tLSvT9J+ayMjI2VlZWfOnPn5559fvHjh5uZGJBKDgoI8PT2NjIxu376NjqTRaB4eHhcuXBD91HxSTCZQNqVhMQSk25iPjw+6BbHxCAoK0tXV9fHxePVq1NZ2BkIZAAA7O4UnT55IMjI4OPj169fFxcV822dKkoE/nypDkESbvXzZYGY2YyaHZmZksfFwvO6qWMPnJ++WXi2+SXdZ5YgHAADOQMmPhz01fz7VKvm7d3h4OC4u7vr16+/S3x3qMQjkzwi3/cguis2hMulymUTsNd6W9c9PnY0WKxJdVA02RH1T0vrm2ms05RNFzAIMxsX9xyYO4DRlxYXYBlIUXDVMd+w6Wy/Fx6mIE43f/dWMsACD+f0f1mv9pTGhG1mFPxrhF2AwjkZ7yqSMM0AgU8xI48GNl7tj1+92UcCozP37IefWL44ffITcp2Mvj5/+usL1253aMtUZsdnsW7duxcXF1db+0fTm+fPn3377bUJCQk5OztWrV3/++ee4uDgk81D4/N6UYUhSYmRkpIODA1JFBgDw8fG5f/8+b0DM2dlZUVHx5s2bssxbAmQIlE1DWAz83m0sIiIC7TYGeGw8AAA1NfeIRIy29syU8ZuZsWtqaiRJZ0W8PQoLC3lvHoQZlGTgz6rKEIRqsxs3MhsaBo2MZNRj3K6Xnzn9heSV2yDrwxMjI1ZdXZ2YAZg5q7x8Wgs/+vy5xRZnYxwAAAzm5GdoLQgyleqDTVFRcf369WNjY/v27btz585UZ2VPD1CPQSB/RjDaMXsHHm+zlcNSgNN06j/rj42vPX2uY+Bm+Qm35u8+3ZXUw/ekC2+5uZRVVLCHDqpTNqzJUt69t6H3+oO9Fnff+/ifd8cmeSJO/+AgLfzGaCmXW8rllnI5t04tJwrdSHDbUzN+5/IGZZi0PjuRm3R/A27Xrf1Oqq5ev7YKrjNmkUQn6e8q/D7jawbiU6DkHnbj9ce77AiAO1D45eF/v1zwc4Kr8aSefHd2dp48eTItLW1oaOj58+fnz58fHR1FX+VyuW1tbfHx8e3t7bx7iZJhSFIiMgapIhsYGFBWVnZ1dc3OzuY9QkhISFlZmeBqXo5IHiibhrAYENZtDADQ3t7+5MkTNFxWUVFmaCiD0wmnMetKlPPnGoo7FVQ/cYzKzJUirvAHCgoYHR3VV69eSTIY8fZITU0VTD2dWUkG/tyqDAHVZsuWeSsoYJSUZFnYc3uq/73tZhtNZTKqQFsb9Pb28n6q8INRs45ehWvsNl8ToYacSSkw6Os1NEWpz6WkpBQUFLR58+aWlpZ9+/Y9fPhQovD46INIxW0YzDYF9+s1HMBuevZVyL90Ke8panzps6vkhexfMaKlLKt6j9EODGYb3ii5UOxXDNRjEAhkUmDpm37sqPtul6s2hUiiL1ob6zlyt7BaxOMqTsXZS/fs1367wZRKIjMCY75Y2n0y4ZHoT2+JTsQdGBxUIlPe/DQTuhEy+5GHdOeF23Pn2La9nTRt4Rp81kt0TtXeEwcUlh74xoomn0BKWVnZvn37Lly4IPx0HA7iNiGJDENBjRYBAC4uLm1tbTU1NbyvhoaGXrx4cXh4WC6XIJQJA2UcDuf27dtTHRZD4CsbQ8jIyPD29iaTyQCArq6uzs4BOl1qPcZpKn5v/R3W2s1lHb92l29a0pwTtav0tUyGJnp6ShLqMSDa2wPMAkkGoCoDAADQ1dWqpSXbpwT73rnn1t9t3uNImswHIQYDNDVVu7q6xIzhjI5y6as9fNXl8olLpVLDwsKioqKePn2KVLFOvA9+zmelB0cLfI1Ax8ENR84o+2Q1/NzxYJXD3TPh/6yVbDHyBhNIWYLxjzUHRy47q010wXCxAoG8y3Bb4nYquxw699OnNtquRCV/24jTRT3cPzIPx9oSw4MY63PbuQAAzqvTH+syv0xp4QDu4KOj3/rNC1Inu6kzN677saxTwi98dserZqCrJ6qjyHDZgwbafHOd314m2S5g9jx6Xs9n89VzdTl58aarYhffPCca7hsaV6JQ3vy0E7oR8vYwGenOA+vZuRvG351a56jydt4K7NbLCc9ufvmNKWabLmYbM7BAtqX3mwwPD4vK8BkfH+/t7T127JgkMowXNESGw+H8/f2zs7N5a8aQFmRpaWmTn7x4RAXK2tvbjx49Wl9fP6VhMQTBsjEAwJMnT8bGxhwcHJAf8/Pzh4Y4OjpSr56xdNdLHd+k7jLWo+DJdLM9saZDd6ufypSupaODF5OeKogobw8wOyQZ+NOrst7eblVV2Ron4Jy2B4cycZP/kKRSlUTlDHM546N1qRf+cUEz5gNTuXYrmDNnzvr16wMDA2/dunXs2LGGhgZJ9mJXlCTcM9jzrYsNlUBhWH31hU37yTu3pf6KkY+UBVCPQSDvODg8brz8yune0PSqvNcPP7J7cGDTt+V/PN/E6qyJ+yzg7k+7L3SOv8r64JPasCN/C5uD6cn4Yfnupxb/2FfddaPinH/P93/bcb5LgnXgWPnBH3957ffpZgPhXwqc/s4urhoVjVph1agU0NXTxRfjVwu+NJSbECxm9cd7Ik5/3yC7s+hT71Cqogtlzqpln+RWjwrdOPEFQGYNkkl3XoTKeIL19i+9mXLrfzXt4HR3PzzQzD2E/KvLcteccl2JwWA0NDQklGEovCEyc3NzZWXlkpIS3gGLFi0aGBjg2zgV8AXKOjs7b9++feLEiWkIiwERZWOojQfSwLqrq6uqqqqra1xdfZIxT07zqx6gqz5HpqWcmhpXKj0GRHt7gFkjycCfWJWNjIwqKs7wql5BASciX3G8/j82exa//8rt0IYNplMxSyMjo9jYWEdHx/T09HPnznV0dIgfP1jWUEkzmK/z2ycq2ZZh3tP4oF5M8dzQyeXva2x68ublyU3Kwn7QEMg7j8LCHX93MlQEQMX3L6uPut+4X8e2RNckGE33H4498Fz/9VqjusbN/znlq4IBo7fP5/UHff7vMCNlAIBz5BfrUgLO3+2JChR3Fm5f8XefR+7Dfnbp4xCxTUV4k7yR/2Ok+ijjPxEXq2sZ7IYJ2hWVOF+lt/TyB6u/WkE4dNlecCPt/r8sCdKcCjJjINJ9oTDpLuoBsFrwpaHg6ZpfSkp3c/PEBWeqyzbHH0vASNDFdYqQodKdxWK9fPmyvr5e2h05HE5fX9/z58+xWCybza6pqSkuLsbwvLs5HE5mZmZBQQGvVplShoaG9u3bh8PhKBRKQUEBIhenDi6X29fXRyaTT5w4wbt9eHiYy+UiiaAAgMHBQRIJz2ZzJ+lLPlJ+a/cvA5GHXOfK9OscH+9rbu7+9ddfpdqLw+Fcu3btzp07eLyQBSSXyz18+DCFQpm2P7F4CARCcXFxfn6+goICiUTCSPdd85ahoTGqpzfDv3YCASfiMwfP/LR8/6f8W9nFf/ky4tdONgBgzvYvfdbeveapM6m/kbW1tYWFxYMHD06ePGliYuLt7S3iEQy3p3OQo8ZQ/eMrRkkNDL4W9+CZvOHSvg2TmZxYoB6DQN51sFqac35TIRgNLVXQO9DHBbwfUMpuq98zD9tWOP9IoqUSAIA73PF6pCfz7yrn/xhDmN/SzAFaos7Bbr/0lw+35pn/nPvJahPRj9OxKloamO7Xfb8vqjldHb1AU11D8tWqkBNh6Sv/krzyt9cpruH/3n5lflJR/z8EN9558Q9L61mxSoBIxGSl+xQSEKAiidL5l9/h7Rdvkyj0Zlv/AAAgAElEQVTKUz8j4TQ3N6ekpEg+HoPBkEikRYsWGRoaynC6goICDofj6ekJAMjPz2ez2YsWLeId8Pz589LS0lWrVgldzcsRDodz//79R48eubi41NfXYzAYX1/fqQ6OXblyxdDQ0MPDg3djZ2dnamrq+vXrFRUVAQA9PT3JyckREWGnT5+exKm43cU5qyNv4j57b1+IjMWPVKqSouLI+vXrpd3x1atX2dnZISEhKioqgq9WVVXl5eUFBwdraYn8wphm+vr67t27V1tba2NjY2dnp6AwY47wU8qDBxkczgwHJ7u7e/v6asbGJC/1jQw+F/nHT1V3CkU3MEMZHR0tLi7GYrFiBDabzX706FF5efmGDRvodLrwQbziC0lunrmvGKjHIJB3HW5XV8c48mbnvm7vBeoqam/oH07T+R//3ej3+YqH//PhNf8z/nQsWVubrL3pu/pjbm8meXPf8F37Y3Pv9b9+GFvifObm+z5a4qUVyX4hsy2jvIljy8QCwB0sLa7VWvCegYR6TPiJxupu3bxLcIhwRYrWuGNj40AB15GffV6Bb6NkiVeQ2cDkpfvUoqwskbDnDPSqqaoqqkytDBBDf3+/0O0kEkloEpeBgUFLS0tOTo6+vr6VlZW5uTmJJEWpx+LFi/fv3+/j40OhUAICAvbt2+fu7q6trY0OcHFxaWlpuXv37tKlS6W9Fslpb29PT09XVFTctm2bqqoql8u9e/ducnKyp6eno6PjFAVJioqKRkdHg4OD+UJD6enpixcv1tXVRX68deuWi4uLlhZtEqfiNF06v3Try/k/7zmwWltmbYHFEvB4vLq6urQ7qqurDw0NZWVlbd68mUDgTzlYuHChkpLS5cuX165dS6NN5jLlhrq6OoPB6Onpyc/PP3Xq1MKFC52dnaW6sd8KyGSl/n451JdOhuHhcTKZM6XOPQiOjo7W1tZCbzAul/v48eObN2/S6XQfHx8qlSrsABh1LSVs90DXH18xA12Aoq0B9RgEApkiuIP3Dv1aZrPLSqnh+q/nXhmvWcDAAtQAabwyNeaj+tUpR//HqrzP5bOYeIvL2/U8Ir1IG47/O8fw40Wa47XF38b+WrNx3/mNOkIP35v5a8x5ve9LJhRjAACs6ZqVnt8f+/TEwgOrdbtz4r65rheTZyOZTBJ1IvxAYeKWQze6Uj7ZZK/YUZj8afyr+Xu8NIr+sYx/o6cxDI69NUxOukNEoqamFhwcrKGhcfDgQQAAr10eBoNpampat26drq5uZWXls2fPsrKypBJmaBVZYGAgiUTy9vbOzMyMjo7mHbN06dK4uLiKigoLCwu5Xx2HwyksLCwuLvbx8UF9O5CKsrlz56anp1dUVISEhMggQsSDlI1t3bqVT4zx2XgglWNLlixRUFAYHZVt6cztvJ4SHFsXcGbP//koT+b9MDaGlbA4UBAnJ6eWlpbLly+vXLlS8FVLS0sAQGJi4uyRZOD3ujJEle3du/fdU2UUilpjo5gK2+kAj1dycnIyMjKaqQlUVlZev36dTCZHRESIDIsBAAAg2zPN256WNnHdmBgAuH2lNRVajH8bzJgeg99tEMi7Do7pHYw/H2TkrTX/pydOf0n42OyP5zAjL7/bGN8Z++WXLooYFYf/PRTc9MXX3z1iqS75KP0/RoW7Nugoeep57iuz2/LPKJqIT4vxwuSbjS256/Uc0ebLJN8LzSKWGliD5QlJoWO/vKdPDV70dUtgwrcf2wg8FhLuryjqRFjrv317dj07PjRURdHHJjpX5b3vkj40shGykQnl2NsD1nTNSs/ys5+eqOoeGaq5HPfNdb2YGAmlO0QoWCzW1dV1586dJiYm6urqW7dupVKpFAqFTqcbGhoiuXw4HK61tZVAIFhaWkZERHz00Uf29vaVlZU///xzYmLio0ePJrRGQI0WAQAODg7Dw8Pl5eW8A4hEYlhY2NWrV3t7e+V7geJNFCXvUSYtQruNAQEbDwBAfn6+k5MTki9HImGHh6XuvMvtffb3mFLj73dMUowBAPr7CUpKSjLvLsbbA8wmew8+3mG3DypVt69PJj02Vh5L247B7LD6omEo/zwDtw2j8N3PtbK8Qbq6+jQ0NGSZw6R59erV8ePHc3Nz/fz8oqOjxYsxAADO1DHWs/mXT4uedLP6ax5/9U2FcYy768x9xcD4GATy7qO04IM9D/e8sUk7Zu9ADAAA2BbmoCW2FPcPHr9G/ku02/Jp7ha+4lsMuhcPhKCEXHaC5JPB6izefOHRZnFD1JZ88/m1eEW+51SiT0TQXfa/Pyz73zc34oRthLw9YA2WJyR17dzznv57Yxpm9qt/l+7c15eCDfbSL2YcDngzU6rn6nLdHzSSs3idOcdy/m2w5GIbsup9sBT3F0B03/P81hpml4iDvLPQ6fRly5bp6PwR5NbS0tq+fXtTU1NzczOHw9HR0SkuLq6trb19+zYej0dCOogws7S0ZLFYEkbMeENkGAwmMDAwPT197ty5vAVjdDrdxcXl4sWL0dHRcskeFBoWE2SKAmVCu40BAPLy8ubOnaunp4f8iAbHkB81NBS7uth0unSqilV4/2Jjb9f6v+PQsi8F84M1H27XlfrXWFbWODCg8PTpUyaTSaFQpN2dQCBERUUdOXJER0dHaLXh7IySIbxjsbKurq76+vqampr29nEOB0jtH0S0jG+Ni5/0NIaHVYeHXwutKpxSXr9+fePGjba2tkWLFllbW0v6kYKlbk6IbduZ7K9/ZkSD5rF6Y9LHegQAAHfgWPAnn9B3vDps9aY6Gzq5/OPdGtuaE+b9kSQ8Vh5r8OvhNkS7NjBw5wHR5Kfnf/2QOSjiICKBegwCgcw2xuuu3FZ22wY/nv7kCJfuGM3lGUPLhQwXJuOJ/p+3sj8XMljUQd5BFBQUFi9evHDhQqHLFDqdjj5I1tDQOHDgAIfDuXXrFg6Hs7OzQ4dJJcxcXV3379/v7u5OoVCYTKauru6dO3cQkw8UNze3mpqa/Px8Ly+vSV4gWi0WGxsriWMHEii7e/fukSNHJl9RhnQbi4iIEJzVkydPdu7ciW7hDY4BAKhU1Y6OQTpdugcCxKDoTnb0xOMkAIOhamiQnj17lpGRoaSkxGQyGQyGVNpMVVU1LCzswoULW7ZsUVNTExwwmyUZeMtVWUdHR319fX19fV1dHRaLZTKZhoaG7e01zc0sPb2ZecrU0KDAYDCm08Syv78/Ly/v5cuX7u7u4eHh0rp6YnXMP7/wJf8XBIayOWOfsEfG5LXfBCXFE978ihElZUUdRCRwwQOBQKae8fJjCwin3H5Iyd8jweNgvNEnWf+aimmwCn808zpTy8Ya7p6Kw0NmFCjjhaCurv7ee+8pK0tk8KisrOzh4fHw4UMCgZCbm0sgEKysrPjGSCLMeENkAAA/P7/4+Hh7e3u+aaxYseLQoUOGhoYGBgayXZ2EYTFB5BUoE1U2BgDIyMjw9vYmk8nIj3zBMS6Xq66uUV/fw6N5p5u2tqFly3zpdDqXy21vb6+rq5NBmzGZTHd39/Pnzwv19gCzXpKBt0eVcbnctrY2RIA1NDSQSCQGg2FiYuLj44OK4Y6OyqqqVzOlxyorR2XzZZWBkZGRwsLCBw8eLFiwYNeuXTJXQkoD58WVKjU3zyn65b6z31xoavjb3m7idwdOzBs/y8Tb/quAyIDQDMPpRiH82+EZNn36DYLbnprxPROPg8wc0kl3XmSS8e+6RJdQiaE4Ozs/fPgQAGBiYpKVlYXD4czNzYWOFC/MeENkampqCxcuvHbtGp/3A4VCWb58+cWLF7dt2ybD8lfasJggkwyUiSobAwI2HuD34BiRSGxoaCgvLy8vLyeTFYaGZqxJ/cAAtbu7cs6cOQAADAajo6Ojo6Pj5OQkgzYT7+0B3gZJBmarKuNwOM3NzQ0NDXV1dY2NjcrKygwGw8rKKigoSOhb28rKKS2tytt7BhpscDiKFRUNsbFi25TKiZGRkVOnTtHp9B07dkidajve8s2CHd+7RVTk+xpJ9xWDtfzkA6mbVLCq95h9/1MtB2foK36gPPXYwYMHx8fHZ9uif7bNZ0YoLS198OBBWVnZTE8EAoFARDP90h1K9DfBYrHBwcFpaWlVVVWenp5XrlzB4XCmpqZidhElzOh0el5eHuJr7+7uvm/fvsbGRn19fd59TU1NzczMLl26FBkZKeLwQpA5LCbIZAJlosrGEBuPqKgodPnR2dn54sULa2vrn376SUlJydLScuPGjVQq9cCB7169GtPTmwEPgfJygrm5OVag0kg2bRYcHJyQkFBcXOzs7Cz0dG+FJAOzQ5Wx2eympqa6urr6+vqmpibErN/e3j40NBQNt4pCT4/J4RAaG8f09af7pqqoUNfUHJ/qFn8IJBJp69atsuypMD9p+JC8pyMWgvGPNQd/lGCgPPUYDofbtm2b4Nt7RnjH4mOTJD4+/umTJ5M/DgQCgUDebZhMpp6eHoFAyM/PX758eXp6+sqVKyUxsOYTZo8fP37w4EFXV5eNjY25ubmvr29WVlZMTAzfl7Kfn9+RI0fu37/PG00Sw+TDYoLIECgTVTYGeGw8uFxuY2NjeXn5gwcPFBQUVFRUEBmGjpw3z/rhw6czoccIjx61LF48wQN7ybXZhN4e4O2RZGAmVBmLxWpsbETqwVpaWrS1tQ0MDJycnAwMDKQ9r6urS2HhnVWrpvmmIty50+zh4TnxQIgI3tl8xXeJyUsyrhydfSEQCATyThMQEBAXF2dra1tYWBgREZGUlBQZGclgMCTcHRVm2dnZnZ2dlZWVSMRsdHS0pKTE0dGRdzAOhwsLC0tISGAwGJqammIOK8ewmCBSBcrElI0hNh7Lly/PzMysqKhAdAsej3///fdRJw8UBwevffvuL17MUVKa1gfZtbXaLFadsbGx5LtIos2CgoJSU1NFeXuAt0qSgalXZaOjow0NDYgGa29vp9FoTCbTw8PDwMBAaCWehNjZudy6VdDczNLVnb4qsufPaePjdaJymyGSAPUYBAKBQCCQP1BWVnZzc6urqyMSiVVVVeHh4SkpKVFRUah1u4S4u7vv379/586dCgoKlZWV9+/fz8rKevHixbx583hdGTU1NX18fFJSUmJiYnht8XmZirCYIJIEykSVjSHRsJSUFDabffPmTTQpMS0tzcXFRVCMAQDIZPK8eRYFBbUBAdNnEc7hEPLyWt3d3WXOHhKlzerr67FY7OHDh/39/Y2NjYUW9rxdkgzIW5UNDQ2hGqyrq0tXV5fBYPj6+tLpdFF3vrTg8Xg/v4ArV3K2bqVOT34Yi6WSnf0yJCRkOk727gL1GAQCgUAgkDdAjD3c3d1zc3MZDEZISMjZs2fXrVuHOEBICK/RIhIxS09PHxoaQiNmqCvj/Pnza2pqrl27hjoQokxpWEyQCQNlfGVjiAx79uxZRUUFEi6LiYlBW+Ly2SoK4uW1ZP/+nx0cxjU1p2k9lpTU2duLt7GxkcvRBLXZ5cuXc3Nzs7OzRdWbvXWSDExOlQ0MDNT/Tm9vr4GBARJL1NXVnaICHxpNb2CAU1g44O4udVs56cHl5BD09fWZTObUn+tdBuoxCOStZ2QQ9DUNzPQs3h1GBtiDg9NRlAyBzFoQY4/09PSQkJCLFy/GxsYuW7YMkWTa2tqSH4fXaBEA4Ovru3///piYmNDQUD5XRl9f3xMnThgbG8+dOxfdfXrCYoKICpShZWO8Mgyx6FizZk1iYmJUVBQqxoBAzzFByGSyt/eitLT8zZvVp6H6fmBAu6Ghh0zGp6SkLF++XMzEZADRZtHR0QkJCfPmzTMyMhJVb/Y2SjIgjSrr7e1FNdjQ0JCBgQGTybS3t6fRaFNtavDo0aPr1697evrevp2rqztqZCTPP7EgZWW6NTVVsbGxU3qWPwNQj812MBjM5N+9WCz2bfc1gYgCA7gAgJ93cmZ6Iu8OLBZeRWVkpmcBgcwwTCaTTqfX19c7OTmlpKRs3LiRw+GcOnUqOjpafKEXL3y9yJSUlDw8PLKystasWSPoyqilpYUUIGlpaU1zWEwQwUDZ0NBQYWFhUFBQTk4OKsNQi47s7GzExgM9woTBMYSFC10qK59fv97l7z+1NuX9/dzk5A4nJyd3d/ecnJz4+PiIiAi5yyHU24NGozk5OYmpN1u0aNFbJ8mAaFXW1dWFarDx8XEGg8FgMJycnKR6fjEZxsbGrly50tbWtnHjRk1NTS0traSkxE2bqNraU7XUr61l5OQ8jo6Olq+w/3MC9RgE8paD4V65coZKp048EgKZlfS8ePa8CrC7Xs/0RH7j/j0dPy9oSAvA78YeW7Zsqa+vz83N9fHxYbFYp0+f3rBhA69PoHj4QmROTk7379+vqqoyMTEBAq6Mt27diouL09PT6+vrU1dXn+awmCBIoKy4uPjQoUNsNptAINy+fZtXhiEgNh47d+7k3XfC4BhKaGjU0aNxVOrQggUTGJpPAuLFi6zW1o6wsEgcDrdkyZLy8vLTp08j0T/5nklVVTUsLOzChQuIt4eYejM8Hn/s2DFPT087OzupG0nNKIgqq66uvnXrVmFhIRaLJZFIiM708PDgjZFOD+3t7cnJyfr6+jExMYgdyNOnTykUtVOneteuVaHR5O/tUVvLTEp6GBkZOW2Cc5Ls3Hl3pqfwG0+fvtTXN+DbCPUYBAKBQGYSxfZTBy4Gz/Qs/mDLRmBn1zrTs5gVIMYeWVlZK1asOHToEIPBsLW1ZbPZJ0+e3LRpk4RKiS9EhsViAwICsrOzjYyMeOtnEGFmZma2b9++5uZmLS2t5ubmK1euoDVmU3WRouFNSuRyuTgcTl1dPTw8XNB6MSMjw9vbm7c9lITBMQQymeznF3ThQhKBgLG1VZTnNfwGKSNDaWys28vL68SJExs3blRRUbG0tKTRaMnJyfX19XLPXWQyme7u7ufPn9+8eTOvW6CgNisuLr5161ZBQYGysvKEvadnHC6X29bWVl9fX1dX19DQQCKRGAyGhYVFU1NTbW2turq6paXl9N+rSI5iQEDAvHnzkC2XL19+/fr11q2x6enpCQnPw8LU586VowM+4f592s2bj1evXm1gwK8rZicnT54cGJhFZR2ChbhQj0EgEAhkJsFyBxwdm2Z6FhDhIMYeDQ0NYWFhycnJsbGx8+fPHx8fP3nyZHR0tIqKRMaAfCEyU1PTkpKSu3fvuri48A5DqsVUVVXHxsaCg4O1tbX5asymR5gJ1obZ2trW1tZu3LixtLRU0HrxyZMnY2NjfP3TJA+OAQCam5svX74cEBCUl3erv3/Y3V2ekozFUklL4wwO9q9bt45EIuFwuOPHjyOSjEqlxsTETFHuopOTU0tLy+XLl1euXCl0AKLNQkJCTE1NMzMzvb29BwYGJuw9Pf1wOJzm5uaGhoa6urrGxkZlZWUGg2FlZRUUFKSs/EeK6Yx0kebLUUQ2ImJs7dq1VVVVzc3NYWFRGRmX6+o4ixcr4PGTLV0ZGaFevcpqb6/jPePsBylZnM1APQaBQCAQCEQ4qLHHzp070UIyR0dHNpt96tSpjRs3KikpTXgQvhAZAMDf3z8hIcHW1haJKfFViz1//jwlJWX79u2CNWZTJ8wEZRiSlNjU1HT27NmtW7fi8XhB68XR0dGcnJyoqCjeIm2pgmPNzc2JiYkhISFz5841MzM7ceJYdXV3RIQqmSwHf4/2dv0LF2pptDnr1kUijurOzs4AAFSSTWnuYnBwcEJCQnFxMXJSUSBr5czMzLVr1wqtN0OE2XRqMzab3dTUVFdXV19f39TUpK6uzmAw7O3tQ0NDeaOgvEx/F2nBHEXAI8a6urquXr26YcMGHR0dff2dV69ePXCgzteXbGkp48qfw1F89EgjN7fcysoqJiZ8Mk3SIIJAPQaBQCAQCEQkiLFHQUHBokWL0EIyFxeXsbExJEomaoXKC1+ITFNT09bW9saNG8uWLRM0UTQ3N6+urr569SoSWuGrMZOvMBMlw5BXBbuN8Vkv9vT08Nl4AGmCY7xiDAAwNjY2PDympzf3wIEX7u4KTk5KMltxjY6q3b5NfPjwqZ+fn52dHe9LfJIMADBFuYuot4eOjo6hoaGYkXyOi2J6T0+dNmOxWI2NjYghR0tLi7a2toGBgZOTk4GBgeT32LSpMsEcRcAjxsbHx8+ePbt06VIdHR0AgKKiYnh4eG1tbU5Odn7+kJMT2cqKSyRKem8ND1MfPSLcu1enrs5dt27d2+W/8rYA9RgEAoFAIBBxIMYetra2aCGZiYmJl5cXm80+ffq0JAZrgiEyLy+vvXv34vH4p0+fCpooBgQExMfHl5WV2draohvlKMzEyzAUvm5jCKj1YkpKSnt7++bNm3lflTw4xifGxsfHU1JSFi9e7ODgcPLkybt3u0pL+11dKTY2QKo0s4EBjdJSXElJ5dy5c3fs2CFUtwhKsinKXeTz9hAzUqgJvigvEHlps9HRUbRBc3t7O41GYzKZHh4eBgYGk4n/TKkqE5qjCHjEGA6HO336tL29vYWFBe+OhoaG27Ztr66uLikpyc6uNTTUMDQk6uuPa2mxBW+wsTFye7tiQwOmurq3ubna1NQ0PDycTqfL5RIggkA9BoFAIBAIRByosceaNWvQQjJlZeXFixezWKxTp06tX79+QknGFyLr7e0lEAiPHz/evn27oDUIHo8PDw8/ceKEvr6+oEySWZhJKMMQ0G5jQl+lUqlEItHMzCwxMZG3okzC4BifGAMAZGVlaWpqOjg4VFdX9/b2vvfe+01NTXfu3Ll2rd7UlGpqSmAyx5SVRQkzfEeHam0t5uXLvqamKktLyy1btoj3wBSUZFOUuyjK20MQ8X3J5KXNhoaGUA3W1dWlq6vLYDB8fX3pdDqS0ikvpkKVCc1RBDxijEgkXrp0iUKheHt7Cz2CsbGxsbHx8PBwZWVlXV1dSUljT08PiURUVlbC47EAYMbGxvv7h1is11QqlcFgLFhgYWJiArMTpxqoxyAQCAQCgUwAYuzx/Plzc3NztJAMg8EEBARcvXr1zJkz69atE79oQ0Nk/v7+SLXY4sWL79+/39jYKNSqUVtb29vbOyUlZcuWLTgcTugxJRRmUskwhKampsLCwq1bt4o6NWLjER0d3d3djVaUcblcSYJjgmLs6dOndXV1sbGxbDY7IyMjMDAQj8cjPawGBwcrKirKy6szMtpxOIyGhgqFQlRUJGAwGDYbDAyMDQ6OdXS0UigDDAZj/nzHVavmSqgrBCUZmJrcxQm9PVAkbBUtrTYbGBhAm4P19vYaGBgwGIygoCBdXV3sFPfhlqMqE5qjCN4UY3fv3m1ubt6yZYv4QykqKtrY2NjY2AAAuFxuf3//0NDQ2NgYBoMhEolkMpnXqgQyDUA9BoFAIBAIZAJQYw9jY2N3d3e0kAwAgGw/d+7c6tWrxSsBV1fXvXv31tXVUSgUpFoM6QFtZmYmVMstXLiwuro6NzfXz89P/PRECTMajTY8PPzy5UsJZRiCYNkYH7w2HrwVZerq6o6OjuI1jKAY6+zszMzMXL9+PZFILCgo0NLSMjU1RccrKSktWLBgwYIFAID+/v6urq6BgYGRkRHEgp9EIqmqqlKpVNmW+EIl2VTkLkro7QEklmQoorTZ1atXCQSCgoLCyMgI0qCZyWTa29vTaDSMzGV5sjJJVSYqRxG8KcZqa2sLCgr4QmcTgsFgVFRUJPRKhUwRU/tUAAKBQCAQyLsBauwBAFixYsXjx4+rqqqQl5YvX66kpJSUlMRms0XtzuFwHjx4wOFwyGTyunXrEKljYGBgYGCAHFMoISEhT58+ra6ulnCSBALBwsLCyclp3rx5TU1NpaWlZWVlVCrVyclp4cKFEraxFlo2xkteXh6vjQdSURYWFtba2lpVVdXd3S1qR0ExhpaN0Wi03t7eO3fuoCV2gqBm6w4ODgsWLEBqhHR1dSeTBefs7Ozo6Hj8+PG+vj50I5K76OPjc/r06Xv37sl8cBQCgbBq1arCwsLa2toJB1taWi5ZsiQxMbG1VbpOgN3d3c3NzS0tLS0tLXg8XltbW1tbW0tLC4PBdHZ2vn79urOzc3BwUNaLmCyIKtu6dWtfX9/evXvz8vJGRkYm3Ku9vf3w4cN4PD4mJkaMGOvq6kpNTQ0PD5/ZFuoQ2YDxMQgEAoFAIBKBGntQqVTeQjIMBrNixYrk5OSUlJSIiAjBHDDURHHTpk2nTp0aGBhAc8l8fHwOHTo0f/58oetIRUXFFStWpKambtu2Tby3vmBSYkxMDJVKlbbGTHzZGHItT5482blzJ9/2x48fe3p6EolEwR5lCIJiDPCUjQEAsrOznZ2dxfteTAVCo2RA3rmLKioqEnp7AGmiZB0dHUiD5vr6ehwOhyR5enh4aGhooGNmg4c+ilSxMlE5iuBNMTY6Onru3Dlvb28GgzH1VwCRP1CPQSAQCAQCkQheYw/EDRwtJMNgMGFhYUlJSampqWFhYagU4estBgDgM1pUVVV1dnbOyckRJYGQNLO0tLS1a9cKvjphbZhU5h8Tlo0BADIyMry9vflc/hFbxV27dikoKPD1KEMGCBVjaNkYAKC6urqtrW3CCqspQpQkk2/uouTeHkC0JONyuW1tbYgGa2hoIJFIDAbD1NTU19dXlMybap9GGZhQlYnJUQRvijEul5uamspkMvmakksClzvW19fU09MxODjIYo1isQQCQYFMVlNX11NWnu7nAn9moB6DQCAQCAQiKbzGHnyFZDgcLjIy8uzZs5cuXQoJCQE8YTG0txgQMFpEtuzbt6++vl7U030vL6/jx48XFRW5uLggW2Sw6JhQmE1YNgZ+t/EQXPjy2iry9ShzdHRsaWkRFGO8ZWO8Nh5if/2AzR7o7+9msYbHx9lEIplAoCgrU+VSECVKksnXd1Fybw/AI8lWr17N4XAaGhrq6uoaGxvRvM2goC7JCowAACAASURBVCBpnSdmlTYTpcpE+Sgi8IoxAMCNGzdYLJaYNFcBxltaHj5//qy+vv3VqxEKBaumhlNSwuJwGAwGsFjc/n5OT8/46CgwMFBnMpkWFk4aGlpyvW4IP1CPQSAQCAQCkRReYw8CgcDbkQwAgMPhoqKiEhMTL126pK6uzhsWQxHsRYbH4/39/bOysmJjY4VKCywWu3LlyiNHjjAYjPHxcalkmCCihNnAwICpqamYsjFeGw/e7YI9x9AeZenp6WVlZT09PaGhobxijLdsDABQVFTEZ+PBA6u5+VFtbWV9fWt7+/DgIJtMxiooYAAAHA4YG+MOD3NUVYm6uhoGBkYmJvPV1NSl+m3wIkqSAbnmLkro7cFms5uaml6/fq2kpHTkyBEqlWpiYmJvbx8aGipJC3JJmCXajE+V6evrNzY2BgYGCuYoAgEx9uTJk4qKii1btkhiFMlidT58mFNSUstmcywsSB4eivr6qqIaQw8PcxoaxqqqKo4ff6SiQnFycre2nj/VdpRTRG7uqZ6e/pmeBYqCubkL8qwBBeoxCAQCgUAgUoAaeyxatIhMJvMWkgEACASCn5/fyZMn+cJivAiGyCwtLUtKSu7fv48YCfLB5XL7+vrmzJlz9OhRLS0tKysrGWSYILzC7OrVq01NTd3d3d3d3aJqzPhsPFBE9RyjUqn+/v4nT57EYDDd3d1cLhcVcrxlY4iNB5K1yMvwcENp6c1Hj14BAExNFezsiLq6VFVVHJ9iZbO5nZ3s5uah2tr7eXlFVKqyvb2jjY2jmJRLMYiRZPLKXUS8PQ4fPqyjo2NoaMj7EovFamxsRIzpW1patLW1DQwMFi9ePDw8fP36dTs7O3k1qhZkxrWZmppaYGAg0h4NANDZ2TkyMsJ3E/KJsebm5pycnPXr108oULncwdLS9Fu3qg0MiMuWqRgYECecj6Ii1syMZGZGCgoClZWjxcXXc3Nv+PktsbKymcRVzgwff/zLypUWE4+bFkpL20mkG2fOnOHdCPUYBAKBQCAQ6eA19uAtJONyuWhvscePH5eUlPj6+gruLhgiQ46ZmJhobW0tpm8YkUgkEokeHh7yvZz29vaqqqpt27aRyWRRNWaibDwEg2Mozc3NZ86cCQsL09TU5K0o4y0bA8JsPEZGmm7fvvzwYYe5OSksTE1XV1ypFQ6H0dbGa2vj7ewUORxQVTVSUpJ/8+YtDw8PBwcXGQIaYiSZvHIXeb09FBUV0QbN7e3tNBqNyWR6enrq6+vzpuoRCATJTfAnyYxoMzRHcffu3YODg4J1ZXxibGBg4Pz580uXLtXW1hZ/5I6OktTU6yQS2LBBQ1tb6pU/BgPmzlWYO1ehrm4sOzvj/v27K1aseusalH32mZw/NGSmoGA4JYXfZRTqMQgEAoFAINLBa+wBAEAKya5cudLa2oqGxWxsbE6cOIHH4729vQWPIBgio9Fo5ubmeXl5AQEBomrDWCxWfHz806dPra2t5XUtfGVjQlMZLS0tHz58KGjjAUQHx/gMPNCKMgcHh/v37yNlY0CIjQf76dP0nJxyExOFnTu1KBTp1BQWC+bOJc2dS2ptZWVnFzx4ULpsWYSurq60vxMxkgzII3dxaGhoZGREU1PzwIEDWCxWV1eXyWT6+vrS6XRRFXTS9iWTF9Ojzfh8FAXrynp6erq7u1Exxmazz507t2DBAjHptQAAADiPHydnZ7/08VGeP3+ySZ5MJnHrVmpBQX98/P7Q0AhjY2NJ9+TU3Yy0uWmb/dWXLngAABhv/G7+98UxXyZ/oPlW5j/KH6jHIBAIBAKBSA2vsQeHw5kzZ05BQYGjoyMa8lJUVNywYUNCQgKBQHBzc+PbXTBExuVyTU1Nk5OTnz59qqysLLQ2jEAghIWFnTp1Sk9PT16+8EK7jfHVmN25c6e5uVlBQQGHw5mbmysqKiLDRAXHBN0UkYoyY2PjI0eOUCgURMPw2XiMj3dmZCQ2NPRHRqrp6U2cUSYGGo0QHa3+5MnwmTPH3d29nJ35f/8TIl6SyZC7ODAwUP87vb29BgYGJiYmeDyeRCKFhYVJMqWZkmQoU6HNxPgooqrs9OnT3d3drq6uHA4Heeny5ctqamoTBYpZBQUnHzxo2bhRQ0tLPgt+LBZ4elL09cdSU5P8/JbY2NhJthvDccOSq18frtjtMo8CAKvkXnqz+e7VGlCM/Q7UYxDI2w7mzCUvQOavZ4DIDAZwmZo1wcEvZ3oifxYUTRfvOyEk12umUAQ9K5Y9olKHZ3oisx3U2ENFReXq1auKiooREREZGRlubm5oLhOZTN6wYcPx48fxeLyTkxPfEZAQmZubW3d3NxoNMzIyGhkZ2bRpk6jz0mg0Dw+PCxcubNq0afLuAhN2GyMQCMbGxpmZmRs2bBgaGnr27Fl2djYSMTM3NxcaHBNqbY9w9+5dU1NTPT09xHpxbGwMtfEYGXl17lwimQxiYzVFWSxIy7x5ivr6xPPnC7q6OpcsWSatDaN4SSZJ7mJvby+qwYaGhgwMDJDuBTQaDZmMo6OjJN4eKDMuyVDkos3E+ygi3L59W0lJKTIysri4GImV4XC49vZ2Me8RAAAAnIKCE2VlbZs3a0obZZ0QQ0NidLTqqVNZGAxOqOmIABgl/+0O34Tdzvw/6wid8XuJ94dD1gRoyecufyeAegwCebvhcjFn4umLNuvP9ETeHUYHOQl7DaAemzbG56w8vlc/IHqm5/E72Sf06TodgYFVMz2RtwADAwMikXj8+PHAwEDERLGzsxPtSIaMUVZWjo6OTkhIwOPxvDbxXC63s7NTTU1t3759VCoVjYZxOJy4uLgXL16IScRydnauqam5efMm4rMvM5J0GwO/23gwmUwAAF8qI5vNDggIGB4eRiNmYsQYWjZGJBLnzp174cKF1tbWDRs2AABGR5tOnDjFYBACA/llzyRRU8Nt2qR29uyLtLSxFSvCpd1dvCQDwnIXu7q6EAFWV1fHZrORBs1OTk5Cy5zEeHuIYvZIMhTZtJmYXs8ovDVjSKzsypUrNTU1Tk5ObDZbTA+3Bw/OPXzYtmWLBpk8JUEoTU18dLRKQsJVEokkwhf0TUgenpHM/yaeeb0ytu1CGj402Xy6G3HPaqAeg0DeekhKYOWumZ7EO8TYwHhp1kxP4k+GY+AsuodZbW0zPYW3A7S3WH9/P6JVwO+FZGhHMgQVFRUkSobD4WxtbXlrw0xNTZGqGHSpisViAwICMjIyTExMxMikkJCQQ4cOGRkZSbiIF0SSbmNAmI0HmsqYmprK5XLr6upu3LiBRMzU1NRSUlKEijHebmMAACqVqqqqSiaTk5KSfHwcnz69q6+Pl7sYQyASMWvXqpw5U5+VlREYGCTt7hNKMiqVGhISkp2d/eOPP+LxeAKBgGgwDw8PDQ2NCY/P6+0hYQ7qLJRkKJJoM11d3by8PFG9nlH4DDwAAGw2u6WlJSIiorKyUmgXaYTW1ju5udUbN06VGEOgUvEREZTk5IsxMdvEv4kAAADgdVfFGsYfultKb71Jd0lyxAPA7crL3P1e7u3KUVXbBZ8lrouYK4kl6PDwcGpqqqmpqYODg2wmorMQqMcgEAgEAoFIAYfDQUwUkd5id+7cQY09AAB8HckQ1NTUfH19r1y5kpOTo6qqylsbxmaz+YwWjY2NtbW1i4qK3N3dRc1BSUkpNDT04sWLO3bsQGNTUiG0bEyQjIwMoTYeXV1dNTU1u3btUlBQQCJmpaWldXV1NBptcHCQN2IGBLqNgd9tPHbs2NHX13Pr1nESiRsUJJ9yOKHg8ZioKMrhw8+ePNGXLMHsDQQlGZfLbWtrQ4JgDQ0NJBKJwWBoaWk9e/bM1dVVWt9FJpPp7u5+/vz5zZs3i4n58DKbJRmKUG324MGD1NRUBQUFCwuL1tZWEokkNKdRUIyNjo6ePXvWz8/PwsLCwsJCsIs0MozN7klOvhkYqKKpOeWLfAMDopMT5+LFCxs3bp5wMGbOKi+f/0n66HOWxd/CjHEAgPHWVoXQhK/jbbGVP8Tt2F8T+oupBH98RUVFf3//3Nzc4uLiRYsWWVtby6Uf+swC9RgEAoFAIDMOpzs18tv/U1yVedJeE8NtOX0o6Aviv4o2LZ0z2xYaaFgM7S3Ga+wBAODtSEahUHijYfb29k+ePPHy8kJGIggaLQIA/Pz8jh49amdnJ6b8xsjIyMbGJi0tbfXq1dJexYRlYwhPnjwZGxvjTbNE4a0cIxAIampqbW1t4eHhAAC+GjNFRUXebmPgTRuP16+LGxpGtm/XkvYSpEVBARMZqXTyZAadTpehdZuzszOXyz1y5IitrW1bW1tjY6OysjKDwbCysgoKCkIrBp2dnWXzXXRycmppabl8+TKP1eQEvBWSDAXRZi0tLe3t7aGhoTo6OmJyGgXFGJfLTUlJMTU1tbP7zUJD0IMRUWVFRRe1tPDW1rI8pJABNzdSRUXv48ePbWwm6kuGUbOOXnUh4pTxJxFqWAAAIFiu8rEEAAA2AXBpTFWJg3laWlpRUVGNjY3Xr1+/c+eOr6+vFGaPsxKoxyAQCAQCmXGw6ivi1hW5nv36gvEvzuVffNIadPzj4NklxvjCYuh21NjD2NgYCW7o6+ubmZkdPnwYAMBnWG9nZ3f69GkcDofWnAjtRUalUufPn3/9+vXQ0FAxU1q0aNGxY8dKSkoWLlwo+YVIWDY2Ojqak5MTFRUl+PSdz1aRr2aMt8YsOztbXV19YGAgJiYG3b2oqAix8WCxXmdkPAoJUVVQmI4/tbY23tmZkpWVuWbNWgl3YbPZr169QurBmpqaiERiSUmJn59faGio0B7Ek+kZHRwcLJW3B3irJJmgj6KonEZk/OrVq1ExBgC4du0ah8Px9/fnOyyfKvPwsCgsfLVtm8gcSLmDwYCgIIXz569ZWVlNmD3IGR3l0ld7+Krz3u5jL4+f/brC9dsj2lLmHurr62/atOnly5fZ2dkUCsXX11eG1g6zBKjHIBAIBAKZBWA05319rHLF+oT3jVqbN2/b60ueTWpMMCzGC5PJpNPpBQUFxsbGaDSMSCQymcylS5fyjqTRaKtXrz579uzKlSuNjIyQjUJDZB4eHnv37m1ubhazxsLhcGFhYUePHjUwMNDR0ZHkQiQsGwO/23jo6Qlxr+UNjgk18EBrzNra2hISEuh0+sGDB5GIma6u7p07d5Bm0EVFl/X0iIaGUvfvkhlXV8LDhy3V1dVi4gksFquxsRHRYC0tLdra2kjLbwaDoaCgUFxcXFhYKMbCQeae0TJ4e4C3RJKJ8VHky2lMTk5ubW3V0tI6cuQIGjcbHBx88eLF1q1bRSXmoaqssPCkpSVJTW1aq6rodDyNRiorK+N9TMMHlzM+1nDpwj8uaMYUmP5R78YdKPzqRDzb++cEK5qMkmTu3LmmpqZlZWVJSUl6enqLFy8WGf4dfRCpdih5BBDdIiryfRktz/5nZ+qRG63dClTXNcsPfLfQjL8QTyK4XS8/X7L/R1LIy5uLDfhCfKzqPWbf/1TLwRn63noR4SY6GxPqMQgEAoFAZgcUt8WbzL/6uHDuD4kMMgAAcFuvXNzzt8K7tePqDk5fnVq13Gj6G/aICouhcLncxsZGIpF4+/btioqKefPmIdGwoaGhQ4cOVVVV8RaSAQDodHpkZOT58+cjIyMZDAYQESIjEom+vr6ZmZlbtmwRMz0qlRoQEHDhwoWtW7dKUnokYdmYoI0HCm9wTIybIgBgfHw8LS3Nz8/PwcEBjZhduXJFTU2ttrbWxET73r1XmzdP7HghR7BYsGiRUn7+LT49Njo62tDQgGiw9vZ2Go3GZDI9PT319fX5fqsT2nsgyNYzWgZvDzDrJZkkPooIV65cGRwc3L59O5FIRONm9+/fr6+vV1NTu379ungPfRUVQkVF78aN03pHIbi64jIzi0XrsfH6/9h8d7iHse7Qlg2m6IcYp2rviQMKS+O/YChN6uwYDMbOzs7a2rqkpOTYsWMWFhZeXl7Cf0v4OZ+VfvVvByzgdOzbcOTMnIishoVG/S//GXEk/J+apd9I/WiE21P9720322gq2B5hLxOMf6w5+H9XEuh/meA4sBMbBAKBQCCzAm7r+eRfGhf8ZUX7Dx+WtnIA4I6092ttuvCv573/e8Cj7vsDtSzpDtjY2Jienj40NCTzlNrb248ePVpfXx8bG8u32OJyuQ0NDZmZmT/99FNmZqa6urqrqyvSoxZ5Po0UkqWnp/f39/Md1sDAIDw8PCUl5dWrV8gWV1fXx48fDwwM8A6ztbXlcrllZWXiJ2ljY0Oj0bKzsye8HKRsTBKXfFE2HoAnOCZejAEAeMvGkIjZ/PnzVVVVvb29q6qqcnLO6OkRqdTpfjJuZYXr6+tuamoaGhp6/vx5dnZ2fHz8Tz/9VFRUhGjgv/3tb5s2bVq0aJGRkZFQievs7Ozo6Hj8+PG+vj4xJ0JyFykUSnx8fGtrq4TTQ709WCwpbndLS8slS5YkJiZKfqJpYGxsLDU1taioaOPGjROKMb6aMSRuZmFh0dXVtWrVqqioKMQu5cCBA/v3779y5crTp0/53i81NcXq6vhpsPEQhMnEsljDbSLNafHMT8v31zR//M9QjT9mx269nPDs5pffmGK26WK2MQMLXnMnMwc8Hu/i4vL++++TSKSDBw/evHlzdHRU1GB2RUnCPYM937rYUAkUhtVXX9i0n7xzW+RwkYe5d+659Xeb9ziSJpnNAONjEAgEAoHMAsYr8z/6qC005W9/tarvdzn8UTzjxHZtm9UeAADOUPcYG69DV5byISqXy3306NHLly/9/f1tbW2l2ldUWAyJhqFJiby1YRwO5+DBg6ixBwAAyXPj60iGYGhoGBIScvbs2XXr1s2ZM0doiAwAEBgYmJycbGFhwVtLI8jSpUvj4uIqKiosLCxEjZGwbAyItfFAg2MTijG02xi6BbHxWLJkiamp6bx51keP/tfTU4jem2owGGBmRkhMTORwOAYGBgwGIygoSFdXV6rm2hJGyWTLXZTB2wPMviiZJL2eUQQNPAAALBbr/PnzTk5OyD02YX+ziooXlpYypdzJAyaTdOPGjQkjz2/geWSLJ8+P9Q/u10+808jIyJ07dwgEgpg7lsPh5Ofnl5aWrl27VmjC82BZQyXNYL7Obx9KZFuGec+9B/Uc37mijjl0cvnHuzW2NSfM44mh4Zy2BwPAKZ941hPwp9ZjIyMj4+PjyP9ZLNa+fft4X83Pzxe1o5KSEm8Y3c3Nbd26deiPOBxO/NcGBDLjcNuPfGD0q3Xhg222UnwIiNhrpCH565+/TXr8omUIp2Xks3nHL1+66fMMGE35RC3i+ggguP2Qkr9nTktW/M6/p9143qdgYLvmn598t5oh6dfHeFvWNz//4/jdslfDRJpp4PZdv3yykIYF43d/tXI/+XL892EYpXVp1xJ04gQ3HtPYZ+Z1ppaNNdx9+MWPthKZKkMg08NI48GNl7tjd+12UcCAuX8/5Lw89PhB59277AhjlxNsQu7hXQLjL2vJVBUyNDSUlpb26NGjpUuX8vaD6unpKSoqam9vJxAIiG8bumoUrBYTI8NQBI09gIiOZAgmJibLli1DJJm2trbQKjI9PT1DQ8Pbt2+LD2oRicSwsLCzZ8/q6uoKLQyTvGxMjI0H+D041tnZKV6M8XUbQ0BtPAAAfX3VnZ1jxsbq4iczRTg6EsrKhv/+979PxihcQkkGZMpdlMHbA8wmSSZ5jiIQIcaQ7Zqamq6urrwbRfU3y8rKIBLHnJykds4EgNOYlfHXfxRdL+seIKrYBnp9+0vgYprUN4aJCcjMbBF/J8gFLpdrZGRkZWUlqmS0trY2Ly9PU1PTz89PRPUpt6dzkKPGQB0dsWpKamDwdZeYAB15w6V9GyY7d5H8qfUYh8Ph1WNPnz7lfTU3N1fUjqqqqlpaf1jT6ujosNls9Md3oA0C5J0Hox2zdyBm4nESwHkZ9837OYy9l5KWmSv13DuzPuTz7QbJl7do8T5jwltuLi3b6YAHnOqkDWuy5vy4t2EVvT/vSMSaj/9pdOobJ0keYHCaTv1n/THcV2fOXV+g0lt4YtXKT3cZpSStUuP0Dw7Swm9Uf7KY5zBj14VsBGBPzfj7V6KXTJTJDZkZ5Cbd34DbdevAkuWJpH+l3vyAxl9sXfjjbJHoJP1dhd+jTbGV3MNuvP7t/8Rlm8oHw54eTdy9u+ziCTtZVzt1dXUHDx708PBwd3fH4XAZGRklJSXoq5WVldeuXVuxYoWZmRlvWAxJShQvw3hBjT0WLVqEbhTakQzB3Nycw+GcOnUqOjpaU1NTaIjMx8fn4MGDDg4O4guK6HS6i4vLxYsXo6OjBb+IJSwbA2JtPJDgmJ2dnXgxJthtDADQ29uL2ngAAGprK4yMiNJEpOQJlYojk4kdHR3a2tqTOY7kkkxa30XZvD3ALJBkgj6K4hElxgoKCrq6ujZu3ChmX15t1t//av/+Y9raUi/sOU3F762/g/9qS9l1BrW3+j+r4qJ2aVYkLdSUcjFraopPTR0OCgqSKtAqX1pbW69fv97X1xcUFMTbVEM4vOKLy+UCAGZuAQ/rxyAQyKTAzv0wru3hp5HzqIoEhTmuK1YvHH/5vJUtfDCn4uyle/Zrv91gSiWRGYExXyztPpnwSLKMbSx9048ddd/tctWmEEn0RWtjPUfu/j975x3XVJb28ZNOSELvvShNRUSkV1GQIkoTC2LDrrMz7k7fMrPv7uyUnZmdGRkVHQuoNGmKCIigFEFEFJCiAiJSI50A6Xn/uOOdaxohYMP7/fiHObn35AA3yfnd53l+T3krFwABY3ycokh98dNM7CDKmw/eZns1p6LskD5ovRCzMY/2wS8dI4U1v1jf2v/RP2+xpz+fYPjmyd2/DOhoif+aJbgdauPevBRDe0Nvo/FH7yRVVz5h8QlEMgnDGBhnz6i+gsfjXb9+/ciRI5mZmUgxBsHhcDIyMuLi4p48ebJz504NDQ24NoxKpW7dunX37t1wbZgU/P39q6urBwcH4REphWQAABsbmxUrVpw9e3ZwcFBsFRmNRnN1dZWlPMzNzQ2Hw4mmt8heNgbZeEg6sqSkxNraOi0tTYoYAy+WjcHk5+c7OzvDkrKjo8vAQI5UGs7DtIw1Sz/TpO5XUP5kadil3Kf86U8CAACGhkodHR3ynYtExloy8Dx30dfX9+zZs1VVVVPODHl7ZGRkDA+LtUqQyGusJaPT6cePH8fj8bGxsTMRYw8fPqyurl63bh0eL6u+Ghzs1tKS55YSVt/14rOvMg6aG1DxivqWh3bNn7jVep879YlCEAgYZWXq0NCQHGuYOUNDQ+np6UlJSTY2Nnv27JlKjGFUNSnYIcbg83cPf5AxCKha6qgeQ0FBeQkIeo7uo7kcS/7xU1stVyLFb3Hk2YphAQAC+omDVNtjtey+cxGBxpuL6AIAAL/z7Ed6Jn+70MMHgvF7v329clGgqqKbqsnW6B9qB2TYBfJZw02XEk/dMwxfM0/Cl8JkbU2Hjr2V9u+fPAqLHUyG7zU/EVJvw5dDFJdvuyx188171tkN9Aw0sABMjk5wKVTqix+jYgdR3h5mIt0RcBqSr5l/lxjtqPR2XgpYsuJY3ZeuH5qT/xL+C2bnP5bOxnZhYGCgrq5O7FNcLndsbExNTe3kyZPTlWEwNBrNzc0tLy8POQgXkkG3oYVYvHixp6dnQkICl8uFQmRCB7i4uPT19bW1tU356qGhodXV1UilAZWNRUZGTlk2BqTaeAwODj58+LChoUG6GIPKxlavXo0cbG1t7evrQyaePXs2pqc37d0z72HJngONeh/vb3j281DzzojR4o17KrrlUmR6eqRnz57Jc6YIsksyAICNjc327dvv3r2blpYmxW4BQj5vD/CaJNm9e/cSEhI8PT1DQkJksfqUJMaePXt28eLFyMjIaeX+DQ3RVVVnbnPP7+4cBnqqunLpA3V16sDAwIzXMD0mJiauXLny22+/6ejoHDx40N7eXpYAneISE6u+J9Vd0MeRYLS6rUnTeJkRqsdQUFBeBjg8jtuYc3ZkbXbL9f67f7ar+XXb141/fK9htTce/cz/1o8fpA9wO/Pe++Rx+IkPw3Uxw7nfh3xw3/qLw62D15qS/Yb/++HeFGlp1QDw7/9rk4LCykVbyud9/fWX7mQJR40NDApU1Kh/ZGyrUcHg8KDQbkIl6OJE0akgKbeO2Y1Hfvipf+Wn241wgD82Os4bqPjUe60a2YWqu371J0WtLLGDsvzCUN4QZJPuSMTKeMLCPX/zNnmLC3oJ1ru2X+n6+QnncF3d7thlM/XwkgE+n89ms+WQYUicnZ2Hhoaam5uRg+7u7kQiUVItgL29vaura0JCwqJFi0RDZDgczs/PLz8/n8+fQnxQqdSQkJDMzEwmkwmmUzYGpNp4AADy8vK4XO7atWuliDGobCwiIgK5w4ZsPFatWoWMdQwMMOVwVsRZ+Bb1/fXIOn0tMo6sa7ZzgwnnYW+HlLeFZFRU+LO4dZ6WJJuW76KTk5O2tvalS5emu6RXKcmm5aMIIUmMTU5OJicn+/n56evrT2sNExNMGm2meozZeOODnxjrPnW1kGsmMpkAve9eDWw2+8aNG3FxcXg8fv/+/W5ubrKHE3HzHXd5dv/0aUX9EGesre7vXzWZx7q7vr7vinerfkzothyfz4c/2fl8vtibdpLmQR4sEAiQ3xCyz4OC8kogLdv7sZMpGQClFX/a8Jv7tTvtPBt4Z4LRcP/+ZI3n5n9sMmt/uv2bxBVKGMAqTbk+Fvj5v8PNaAAA53V/jb7gn3JrOGqV5NfALvzrOeZfhpqvpR/avWc9OJm+ReLdNeQbBPr/9DK2BaOV332+7jD2s4sfrdHEACDA6tkEuWECD0ads1caqb703oa/hxKOXVoiOqhz5/9sUA+PtwNInvnRjgAAIABJREFUui8TJ90lbRNUgi5OBL2q9eXnj9LpUyf0UH3CU9IzcDJvEWYdOfZGBAKhs7Pz8uXLM3xpAoGQnp5uaGiILOXi8XiVlZUtLS1iA1AAAAwGc/LkSTKZfOLECaT1CMTY2Nivv/4qi7ISCASHDx/W1tbu7e0lEAhVVVVTJsjx+fynT5/q6OicPXtW9Nnx8fG+vj5tbe1bt27dunVL0ot2dXUpKSldvXoVOT48PMxisSorKysrK6ERLBZMTPCpM0mo5nP7HzT899TTeeGBi+T6WMNiGU+fjiQmJsq/BjFzYg8fPqyrqyvjtphAIJw4cUJVVVV6IEggEHR3dx8+fFiWP70QFArlxIkTurq6L89ojc1m9/X1KSgoQCm+spzy7NkzDoejo6OTkpIi9FRPTw+RSKytrZ2yzYMQCgoDWhLysmVDMFRZsGFdMe6z/YfXyJnBTSTi2Gw58sqnDY/Hu3PnTmlp6fz588V2qJ8arNr2U7v69qX5GZ5nqut4bNia+pEBAQAgYJwM+uQT/b2dxxe8eMWI81dkN+4y+vl4H7Sr6TDGpQDivB+b//K+ybiESSTybumxoaGh8fFx+OG33357/vx56P8CgWBkZAR5sFC4k0gkwl8qk5OTyKyJ/Px8pJ/HkiVLkHaLKCivGaymhu7vX9cYdU1lMMIYFQDkZxfNbcN+q/Dd5fYnztlQAACCyWf9zOErHyshvicI9j3dfKAJpIFVULUJ2vbNjkLX48XtmzeK6VuLVdJUxwz1jz7fVPMHn40ADVV12TclPPrFP72/87rV/4o+2TAP+pjD6of9Ke25JzLVNeLfe3LsUyvGvhAdvPngC5uFM0/nQHlVzFS6v0QWLSIzmVNnidX9dtt5//tExZn1Op0BdDq9u7t7WqeoqqoaGRlJCQHJTmlpKY1GE/LZp9PpJSUlbm5ukiRZXV1de3v75OSkvb09mfxCrH14ePjq1asrVqyYcm/N5/OvXLnC4/EUFRX9/f1lyV+qrq42NTV1cXERfWpgYCA/P9/MzMzNzU3KDLdu3dLT0/Pw8EAOjo+PX758OTAwEGkayeczOzoeT7kkSfDu5y6zz77HV1wYvS7ty3nyXV7KyiQSiST9J5KDpqam5uZmPz8/CkWmdY2NjZWUlPB4PBcXFyk5fuPj41euXLG3t5fDouPJkye3b99evny5fMFe6bS2ttbU1Dg5OcluOlJZWUkmk4ODg0VV6+3bt9XU1Hx8fORwhmtuvs7ny127xe+6mBK886H9/w79ukFruj2RYbBYzCuISUxOTp44cUJTUzMmJgbprjddsNpWn6f/7XOhUQx1e+7h7WIOV9z0VWBqPOGFPwzRJr73aLyYgyVNIpF3S4+hoLyLCAYHn3GhN7ugnz4CVJVUXtia8LtSfvj305Wfh9798v2rfuf99LGKWlqKWtu+e3LS7UU7OwFd3Pw85jiDp6BM+V3o8Ph8AZD0eaywZJlJX25jF3+xCRYAwXh15WNNh/1GMuoxwUjhX97fddv5fPEB3z/sG9ntN4pvEZZGumpgAQBAwGZzAQn3rCQ/hSQ0iPaheHuYuXR/uchY+cPp7TA2MiIrTf/e7Swhe/YOBJFIHB8ft7OzmxVjOk1NzaNHj3p5eSH3wWZmZlwu9/bt26IdyeADioqKampq2tvbg4KEQ550Or21tVV0XJTly5enp6dv3rxZlo0ynU7v6OjYt2+fqErs7u4uLi4mEAjr1q2TYtR+//79gYGBXbt2CWnF1NRUV1dXW1tb5CCLxZjJvQXcwsAa5spnzc1HD51dvh7cTHcxnv47g0AgYjAYMzMz+dchDjMzM3V19eLi4ikdF2EWLlxYUFBQUFAg3XeRRqOlp6fv2LFDus2m2CVpa2tfuXJldh0XYR/FHTt2yGLdAXHp0iUWi7Vjxw7Rewo1NTX9/f2xsbGy9AMQpafn7uSkfHpMMFB4IWhXu//5Q//xnW6Pwxdgs/mvoOETmUw+ePDg1MfNMvwHOS0qbp4vKcnmTfluQ0FBeVkIxquO/VzbM8kdfXD15+RO8+UOyK9u7qOM2D8/2XD8L1/+8vna+u9j459yAcFjnZfCxdP/Luge47CHHpZ87B0RebpXQjBg4srecEOfny8+GGXz2H230/91pmdhkKTdAXb+xjDPxqRPz7QMMSfaLh39qtAgNtZWtk9vwciVn2NTDP6bgRRjAAA8o/zcjg3fHrs9yOROPr1x7tP4TvtIL/UK0UFPczQ49tagsGSZSV91Yxd02f0u3RfIKt1RJEIikQIDA62trcWGjDAYDJvNlhS5mi5ijT3AVIVkAIDly5dbWVnV1NQgTRohvL29m5qa6HSxN4f+gMlkFhYWOjg45Ofnw41tpCDJxgNq+qyjo+Pq6ipllyy2bAyIs/GAIBAUOZyZhRGwBE2bRZ9+465eUJrRLs9UHA5Ovn3/lEyrlgzI7Lsot7cHeAm1ZNP1UYSQVDMGAOjo6Lh27dqGDRvk/qOQybSxMXlKCQUjDR/HVpv/d+8MxRgAYGKC95IuqlmD2/OVw16Se2HbtF1wsDafvHc2apouYZzWQ2Z7FVZXDk/1HkW/21BQ5jo4E+8gfEqgmbem/Y/1Tn869ZHlH3fMmQ+/2xo/sOtvf3MhY5SW/utYUNdf//HdPY5ywJ+zvzErPxijTfE08Dxca7fjn1HCjZueoxj0w3+/XvLoU+9gmoLX/NAsfsy/U/9iJkn4YI1CTqWuZf+031AtyOcfPatOff2RrcgNfPH+itzytOKnPUWbDRwxGAfon8KK9G4BduGHXydt5sWvXatE9rXdUqS0/7vU981sxQyaoHLs7WEm0h1FEtbW1vv371+2bNmaNWuUlZWRGWWampoKCgpsNtvY2Dg+Pr6+vn5WXlGssQcAIDQ0tK6urqWlRdKJwcHBWlpap0+fFtp8KygoeHt7T1mlA3UbCwwM1NDQEKrmEkWSjQckxpYvX06n0x0dHSWdLrbbGJBg4wGBxWIxGAyXO30dxeOMjrD+0JdS8xGkMzmJf3lb5+lKMiCb76Lc3h5gViXZdH0UIaSIsdHR0bS0tLCwsJlkVKqqasunxzjldzKfjmRs/hiH2Y2B/in8eLRbnstqaIjxMpJCZw2SferkMYHgGKtshZiKipcBwfyHtiMCwTFuW6Sb1CtljucrMhgMZGXh8ePHi4uL4YePHj2CHZwEAoHQNfTnP/8Z+dDZ2Rm2yq2qqkJ+vmMwGOSXjaR+4SgorwuKw3uH7h56YQjuB724vODT54NU9/fqfm9BS7Tb8WnRjk9fOEdCF2mM6sJ9x37dd0zGxWC1l29Pvyc1r1ol4KvPr8aThe5CEQJPFfFOiTueoLf6X9+v/teLgzhxgyhvD1ijkFOpg/sO7Tfcz1a3XLLhuXQX9F8MMvpFPzP3uP+L327Dl0P0vldPy0M6c7IL/m0UkNkH3QitCcb9CRDdDzXf2GgyKGGSOYuysnJgYCBcFUYikfbs2VNYWHj37l0qlYrD4fr7+y0sLJ48edLR0eHt7V1aWtrc3BwcHCxUwTVdsFhsUFBQdna2ubk5cucKdSRLS0vbtWsXjUYTe250dPSPP/547ty56OhopKRZunRpdXV1Y2Mj1PlXFKjbWGRkJAAgODj42LFj5ubmkiriWCxWQUFBVFSUUPIkJMbWrFnT2Njo5OQkRbqI7TYGLUNTU3P+/Pliz1JTIw0N8TQ1p7cNG7ty3mpj94az2z9fpUkZ6jjxr4r2hV7+xvLkPo6M4Kab+DctZG8VDSNLz+igoKBTp05VVlZC80+LmbeKnm6vZxgpYozD4SQlJbm5uZmbm8uxJBg1NUM6XR49RgzcMsDbMpOXhuDxyAMDfW+0HnuDmeN6jMvlIvXY48ePq6ur4YcTExPINAahN8nChQuRDz08PGA9Njk5iWzeMjY21t/fDz98lV6fKChzEW57TinNbfcc/3hCmQrx0h2jEZI7ESLmcHEynuj3eS9PuFwbAAAkTTIHwWKxjo6OPj4+Qt9xRCIxMDDQz89vYGCAz+erq6sTicSmpqYrV67cuHFj7dq1jx8/PnLkSEhIyLx582ayABMTE319/bKyMh8fH+Q43JFMUiEZhUJxdHR8+PBhampqVFQU/BWMwWBWrVqVnZ1tYWEhGnqCuo3t3LkTOl5BQSEsLCwlJWX37t1ihd/169ctLCwMDAyQg7AY09DQaGlpCQgIkPTTQd3Gdu3aJTQ+MjJy8+ZN0XEYVVXqwAB3unqMFhSZ+XXG55/+1ziSwSYp2Sx3TUr1WyBX5P/ZM766uvxeCLIghySDchcbGxvPnj3r5eW1bNkyoQMIBML69euPHz+ura0tu4UGzEwkGZ1OT0tLMzQ0jI2NlT0sBqSKMQBAVlaWjo6OHPJSCGVlNSwWOzTEm40uZPLQ3U3V1taebs0qCgSar4iCgvLy4TaedCC4uP/QJVPGNt7sk7z/i9KYfSs9TvkPZnjX1QljaE+KOQgk40XTX99paDRabGysv7+/pCJ7PB6vra0Nu4FbW1tbW1traWllZWVZWlqGh4dfvnw5JydHjoodJP7+/tXV1aLFYFMWkrm5uU1MTAAALly4gOwrY2Jioqend/PmTaHjxXYbMzQ0dHR0zMzMFHV+o9Pp9fX1vr6+yEFYjFlYWJSUlEgJjkkqGwMA5OfnOzs7SwlA6evrdXZO/7eKUXTaF13Y8N0Y6whr9Ju7WWtWy5uH3dXFmG6HKzmQI3ERPM9drKmpEZu7qKSkFB4enpGRMTw8LMeS5EtclC9HEUwlxkpKSkZHR4ODg2WfUArGxlqtr6/TZlubwMTE5HW9+tsOqsdQUOYyGK3YXxh1uxe/1j0qKeLrSUG1QFBRdkj/9X7kENwOtXGrBYKqth8WvyNpam8d05PuSOSS8XNdoquqqurq6k7rFD8/PzabvXDhwrS0NBwOt2fPHj6ff+TIkc7OTrmXIcnYA0xVSEahUJYsWaKqqsrn8zMyMpCCauXKlZWVlWNjY8jjobIxS0tLoXk8PDz4fH55ebnQuKiNB1KMDQ4OtrS0SKock1Q2BiTbeCAxNrZpa3ttW2cul/L0aY+hoeEreC35JJn0ntEz8fYA05RkcvR6hpEuxpqbm+/cubN+/Xo49jtDrKwWNzW9rhQtXGNjr5WV1Wt69bceVI+hoKCgoLwZvHrpjkp0EXA4XGRkZENDg5eXV1JS0uDgYEhIiL+/f0pKyrVr15DNNqeFJGMPqJAsOztbSFnBuLq61tfXBwYGMpnMixcvwuMqKirLli1D1nJDZWNCwS4IDAYTFhZWWVnZ1dUFD4raeCDFGABAenBMUtmYFBsPJAYG80ZGBKOjcv4+Z8j9+3g9PT0FBYWpD50N5JNkSN/F27dvCz07E28PILMkk89HEUK6GKPT6ZcuXVq/fr2MjdpkwcLCrquL+1ouqp4eTRaLbWRk9Opfem4wx/UYVD8Gw+PxBAgAABgECi+CfRHkiXwRBFJ53b8GFBQUFBQUWVFRUQkKCqqoqAgICDh//jydTre0tNyzZ09/f//x48en9JoXC2TskZ+fLxrQgAvJxH5dQiGyioqKqKiooaGhnJwc+Cl3d/cnT548ffoUPC8bi4yMlBRqUFJSCg4OvnDhApT/Btl4BAYGwqVrQmJMenAMKhtbvXq16FPSbTxgcDictbVJXd2k9MNeEteutY2Pj3d0dLyyV5RPkgGpuYtBQUH9/f2VlZXyLWlKSSZ3jiKYSoxNTEwkJycHBARMN3wtHTabraurWlU1MYtzykhl5YRosR+K7MzxTPtz586VlpbCD+/evTsyMgI/1NLSgn1gSCTSjRs3kOcKFf4iHTs6OjqQfh48Hg/pCzI0NDQ5+ccnLA73slp8oKCgoKCgvAysra3b29sbGxsDAgISExO3bNmioaERFRV17969M2fOuLm5ubi4iDXhkIIkYw/wXFkVFRWJjW65urrGxcW5u7tv3LgxMTExLy9v1apVAAACgbBixYq8vLzo6GjRsjFRrKysWltbL1++HBYWJmTjISTGgNTgGFQ2tnnzZtGt9pQ2Hkjs7b1TU0+7ulLFtYJ7iYyMaPP5I46OjllZWaqqql5eXq8mrCGHvQeEJN/FGXp7AMn2HnL7KEJIF2M8Hi8tLW3hwoVCvnEzgclk3rx5886dO5aWljU1dW5uFDL51V1VAwO6jx41BQaGvrJXlINffnn6upfwO2Vl9wUCYXk/x/UYCgoKCgoKihz4+fmdPHmSwWCsXLny7NmzMTExampqdnZ2pqamWVlZDx48CA0Nna5hur+//9GjRxcvXixqih0aGnrs2DFjY2NRO0coRFZWVrZq1aro6OiEhITCwsIVK1YAABYtWlRdXZ2QkCC2bEzsAuLj40tLS+vr6/ft2wcNiooxKDgm1lZRStkYkMHGA4menr66ulpt7cSSJbPTgFtGysrY9vb2y5YtW7p0aV1d3atUZXJLMkm+i5C3R3p6+o4dO+Sz7xeVZHL7KEJIF2MAgLy8PBKJJHpXQj44HE5VVdXNmzetrKx2796tpKREJPILCx+tXi3t3sSsgs/PH/bw8HiTYw+ffPLJ+Pj4617F7wQGzhNtv4HqMRQUFBQUFBRhoEKyEydObNq0ycvLKyEhYdu2bcrKysrKyjExMZWVlcePH1+xYsWSJUtknxM29ti4caPQU9I7ksEhMiqVGh0dfebMGTwe7+3tDQDQ09O7ffv25s2bZVkAHo+PiIg4duyYp6cnZOMhKsaA1OCYpLIx8NzGIywsTJaVQHh6rkpPP7dgAZlInH1DWbFUVDDv3287eDAIAIDFYu3s7GxtbV+lKpNbkgEAbGxsdHR00tLS2tvbQ0JCoD8Q7O2xfft2OeQTeFGS9fb2FhYW+vv7T9e6A2JKMVZdXd3R0bF9+/bphpdF4fF4NTU1paWlRkZG27dvV1dXh8YdHT2PH79va8s2Nha/htnl/n29oaHW9eudXsFryU1ERMTrXsIUzPH6MRQUFBQUFBT5gArJ0tLSbGxsXF1dExISoOIfDAbj4uKydevWqqqqpKSkad14lmTsAaQWksEhMgAAmUyOiYlpaGgoLy/v6uqqr6+3traGnpKFvr4+Go324MEDHo8nVoxJqRyTUjYmo40Hks7OzpycXEVF6rVrDBlPmSECgeK9ezgAwM2bN+H+AZAqO3DgwKJFi7KyshITE192XZnctWRAgu/iDL09AAA2NjYrV6787bffSktL5fBRhJhSjLW3t5eUlERFRc0wlCQQCGpraw8fPvzo0aONGzdGRETAYqy9vf306dNWVgszMkbHx6dtUztdBgZ0r1ypDw8Px77ipNs5xxyPjwn1gwYAICt99fT04G7oRCJRut8o8vtmfHwc+RCy9IAfstlsZDkZitwI6GUBZkVO5X/9cjH6PpeCgDkOdju87lXMKV7FPUUUlLcCqJAsOzt73bp1PB4PipJBjnCampo7d+68fv360aNHAwMDra2tZZkQMvbIzs42NzcXjWZIKSRDhsgUFRVjYmJOnTpVXl6+Zs0aAwODuLg4BwcH0TRIISAbj6ioqLKysosXL7a0tAiJMSA5OCalbAzIbOMBweVyi4uL6+rqAgICTE1Njx07PG8ea/78l53uhblxQ5lKFWzZsi0rK+vMmTMRERFwKPIVx8pmEiUTm7sYFBR06tSpyspK+Ror0+n00tJSQ0NDOp0u3xZuSjE2NDSUnp4eFhY25VUqnebm5qKiIjKZHBYWhuxYIBAIrl+/fvfu3bCwMBMTk6IixXPnarZtUyUQXlbodWJC7dy5x76+vtPtrI0iyhzXYxMTE8h2gRgMhkqlwg8jIiI2bdoEP4XsQCLKkydPYNH1+PHjx48fw09hsVjk/bDBwUGknweJRJI+8zsPN3fHl6mh/zgdLHw1YrTc8xjur2VNMiNx8a8MDEaQk3NeTX9Gn+8oKK+R0fbWxhagoTiN3qwvlaI8HV+Phte9ijcIqJCsqqrKxcWFw+EkJCRs2bIF+l7DYrHLly+3sLDIzMx88OBBQECALDf+pRh7AMmFZMgqMgAAjUZTU1Pr7OxkMBgUCsXDw0NsGqQQsI2Hk5NTYmKil5eXkBiTVDkmvWxsWjYenZ2d2dnZ2trae/fuhX6NYWFRyclnt27FaWm9xK+SBw9M796t37lzp6Ki4saNG8vLy+Pj40NCQpAa8lWqsplIMiAud1Fub4979+7BOYqNjY2i9h5TMqUYY7PZycnJHh4e8vmOQLS1tV27dk0gEPj5+Qm9OxgMRnp6OgaD2bVrF7TRJRIVR0dBSsrY+vU0PH72JdnkpEZiIn3BggX29vazPvk7yBzXYyhvAbyB+oZJwRvtyiOZt3rxKChvBvjO85/9/Aa9i+w+e+Ti8qY4cb0JwIVkhoaGnp6ePB4PclyEu1cZGBjs2bOnoKDg6NGjISEhsuw4pRh7SCkkQ4bIKioqmExmbGxsYmIiDodzcnK6c+dOS0uLqB0IDJ1Oh2w8uru7L1y44OPjc/v2bQcHB2QDKEnBMSllY0BmGw9kWAyqWYIwMjLy9Fx++vTVXbs0VFRmpzWwEC0tRjk5tZs3b4bvSru5uRkaGqanpy9atGj58uXIfLNXpspmKMlEfRen6+0h6qMoyXFRClOKMQBAZmamgYGBpPYJU9LZ2VlUVDQ2Nubj44O8ciDa29szMjIcHBw8PDygsrSysrJ79+7t2rXv2rWChIT29eupioqzmWc0NKSTlPTUwsJSrCEqihygegxldhAM3lxtUrrsxNL7X+ZeahUYB6xO+lE3e1/S4euDwGTRP5O377clACDouXr54KdlhfdHJolK1r6e3//qWBv5z09uccHq/akROweOsiNNy5b+OK/wsxvkv/+jILIx6Pd8RcxITemHh65mVA1O0rS8t605/H92pgTB6L2bn3xYeKn62QBQsg1a/v1Pvm7qMt8E4g/84vtlnOOh+m9MCAAAwK386J8rq5ffL/RSrROdFohZAK7/B68/Ft/+OetLkcXwnxb7Wlf6V3/8iRUWAEFn3I9Wp6xv3wqwGr4ZjPhJr+5XQzMyUd5ZCPy+sLCm170KFGnAhWS7d+/28fHhcDhnz57dvHkzrFsIBEJQUFBra2tWVpaNjY2vr6/0Miopxh4AUUi2detWpO0BHCJbtGhReXn5zp07IXORM2fOEAgEf3///Px8MzMzSaUsubm53t7ew8PDcM0Yl8vNysqCM2UkBcegsjFJ4S8ZbTxEw2Iww8PDlZWV5ubWp061bNxI09ae3d7k2MZGo9zcusjISC0tLeQTRkZGe/bsyczMFMpd/P20V6LKZijJRHMXZff2gHwUDQwMhHwUpyXJZBFjxcXFk5OT8llK0On0oqKi3t5eb29vW1tboWtbKEcRGoTE2NatW6lUamhoxNWrBfHx9yIiKAYGs3JdYZubDXNy6j09PeWWlyiioJtAlNkBg8PhuL3JmeCDa1/33w+3uZkVuumOwf99+LTn0890G7/4oWkSAMB88PX+4v41ux4MHR5qiPFqvRL7zfDBov07tSkxl+Im0xwU8Tg871nmDZXDzd8X7FGFr07BUN2f1lx8ErStYeCnzmJ/1QtnD54Z4g3f/yAk9Zb16rzWH/ubYqOGC8L3VtOlNN+eeFb7kPnH81i1yBiLvgtVlVB7SWbL2VTGiu1LDUfFTNs3KGYBfKzGoeeLnzhO+mw6i8FI+ElRUFBQ3kysra3nz5+fnZ0NAPDz89PT0zt//rxQc2dzc/O9e/cyGIz4+Pienh7pE0ox9gAAuLu7E4nEoqIioXFXV9fa2trU1FS425i6unp0dHReXh6Px1NVVb1165bYCevr69lstq6uLtLAw8vLi8ViVVRUQMeIDY5BZWMRERGSeklNaePB5XKvXr2akpLi4+MTEREhKsZOnz7t5uYWHh7h7x+SkDBWV8eWNNV04fMphYWaV67Ub9682djYWPQAMpm8ceNGCwuL+Pj4R48eiR7wCtw+ZmLvAYHsGW1nZyeLtwfc63nNmjWiym3KVtEQsoixxsbGurq6devWSTcpEGVoaCgzMzMxMdHU1PTgwYN2dnZCYozBYCQkJDx9+nTXrl1ixRg0snKlX1BQaFLSeF4em8mckcMHg6Gdnk7Ny2tav349KsZmF3QfiDJ7YIg+O71ddYhUM2tvSz7Zw33bUpqisu4Kd/XJ3tExAQAKVj89/P7638y0yThFQ6tIX+VnHcMsoUkEPPtID3tVPA73xz1RZumdS8yFBw+YaZPxqjbOZ1v+mxOryi6tzhpb+Om/7ReoERR1zA781Ukpv/rqsGQNpICt+c+Z/9wcf34ERjvUddXY3aQyDgCAce1WJtt2+xoaS9y0uXliFoB88zCnuxgJPykKCgrKG4ufn9/IyEhVVRUAIDAwUF1dPSkpSUiSKSgohIeHe3l5nTt3rqSkBGl2JQRk7JGfny80A0xoaGhdXV1LSwtykEKhKCoqUigUZLcxLS2tTZs25eTkWFpalpWVTUxMCE0F2Xg4OjqeP38eaeCBxWLDwsLKy8t7enrE2ipKLxsDMth4dHZ2Hjt2bGRkZO/evaKZZrAYg0wpbGxstmzZXloqSEtjjo3xJM0pG9iuLoPjx8fo9PG9e/dqa2tLOdTNzS0yMjInJ6ewsFDsn+xlq7KZSzKk76KDg0N/f39lZaXYI9lsdmZmZkVFhXQfxSklmSxirLe39/Lly+vXr5+Wj8DY2FhOTs6JEyc0NDQOHjzo5OQkquXa29vj4+NNTU2ROaiiYgxi/vz5Bw4c5PFMfvpp6MYNweTktFXZyIhWfr5GXFyzmpr2gQMH4EbqKLPFXMtXHBsbgwwVIbfc1tbWhoY/yrIXL17s6ekJP3RwcICtaQQCgdBXwtGjR5EPv/jiC/gAoSPNzMxcXFzgh05OTkIpAe8KGLKqMiRScAQCVlmVDOkMAhH3+9+DP3bjx4wvTjU3dDJGJ7gcroBcj1RUAAAgAElEQVS4RkSxYCnamkK3CQQMOoOprKf2wtUqGH/GGB++H6lU/ccYwai9WwBUMQAAXnOei23mbZFveexFgVHj7mhtDAAAo7Jgy5rUHecffLfcLC+xXiFy90qagCFu2kctVKayvprEt4vkxUhJvhDzk6KgoKC8uSALyXR1dVevXp2ZmZmamrp+/Xqh/eKCBQuMjIwuXrx48uTJ0NBQ2IxbCOnGHmILySoqKkgk0vDwMIPBQG46dXR0NmzYkJycbGJicu3aNSFL+uvXrxsYGFy9elXUTVFFRSUgICA9PV1PT080OCa9bEy6jYekajEYITEGoaWltXv33rKysiNHKpcuVXV2FlAo0/2mwNLp2qWljCdPmlesWGFrayvLOdJzF3+f92VmMM4wcREgcheTk5OdnJzKy8tFvT0k5SiKRUrioixibGJiIikpKTg4WLoYFjqlvLz87t279vb2Bw8ehEs0kYjNUQSSxRgEmUwOCgp2cXEtLy//3//um5urWlsTzcw4FIqUO8LY4WGVtjZ8Y+NwV9eDJUuW7Nu3T+yFgTJz5poekw4Gg0FGezEYjJR+fEL9T5Cm9kJPCU2LxWJn3uZvTjKZlxn1Ze+WpIPn3DQ0aZjS9/62ulv0KAwGK/Tbw1C1aAqDw70sAAgvDNK0XDOebAkU83kFcFarqtirXhjiD53ZkdKxY/MmbXh+ks+WpYoRt68+ZiReVY6+Zq4AMEDctJMXTx37n9AChFcodjH8TgxGwGX9nnsiGHyG7AYi+pOioKCgvNEgC8lIJFJoaOiFCxcuXLgQGRkplExFo9E2bdpUXV198uRJLy8vSdlNUow9gEghWVdXF1Q2VlVVBRstwujr60dGRiYnJwsEgmXLlsEbaDqdXltbCwBYu3atkBiDWLBgQWNjY1NTU1BQEHJcetkYkGrjIaVaDEKsGIOAWl0vWbLk5s2bhw/XzpuntnAhxsyMP5VxOYbBUH70SKGurr+//6Gzs/Pq1eFS1IIoUO6iWN9FJC9Plc1ckgGE76K6unpGRgbS2wPpoyj7bEBEkskixng8XnJy8pIlS2TsA8FmsysqKqqqqhYsWLBv3z6xmgqI81GEkC7GYNTU1FavXu3n59fU1NTQ0Jyb+4RMJmpp0ZSViTQagUAAAgGOwxGMjfGGhlh9fUN8/rCpqenSpU7r18+XvbEeihygt+dRXh3skYkJIm2epbomidWUXZjSgBXQh3vYGByWS+9msDkS81oUPOyDyQ3ff93cOcEdbb23d9EHXj/24T0c1ijUfv3vxvYxHmuo79LH31tH3uyQEoRncu0+2fpX9xfuBZGcnTdqN534+GaZjUuMLRYAQBI3Ld1NzAJ4AADw++IxzvYh4haDVVXWIfUXX+ka5nCf3Sn75eLwS+/OiIKCgvIyQRaSYTCYsLAwPp+fkZEh2sQZAODg4LBjx476+vrExESxqWiwsYekl4MLyZhM5oULF6CyMVdX17q6OgZDuI2ykZFRZGSkQCDIysqCB7Oysng8niQxBoHD4YhEIrKASnrZGHhu4+Hq6io0Lr1aDEKKGINRVlYOCAh4770/mZo6VFQQvvtu4LffOLm5pFu3FBsaKG1t1MePlVpaVOrqVMrL1bKzKb/+yj58uK2lheXk5Pr++++7ublNS4zBTJm7CPGSMhhnnrgInucuamtr8/n8c+fOcTgcGXMUxSKUuCiLGAMAXL58mUqlent7Tzk/l8utrKz8+eefh4aGdu7cGRgYKElTic1RBDKLMRgSiWRnZ7d+/fqPPvpow4boxYvdVFTms1haQ0OqIyPKHI6murq5o6P71q1b//KXv4SHh1tbW6Ni7GWD/n5RXh3Kq1d9mXb600XvH6Ro+7+/Ie5bQX1A9tKwNb+EaSQd+Fz34vp7ieI/3TCqtv9LD/7ToYRF/x1mUjXcozce26uNV9D6MTv8o0PJy7T7RzCU+R7L/vrjMiMpdxgUNRdbigzi9aOj1b/5+InviR1mWAAAwCgvEJ3WWB0vugAcAIBguDpcY+OBz/Uuri/LDP/5LyKLoSz85KtFMV98q/l3/LxVfv/bZZFyhMuRWlaGgoKC8oYDdyRzdHTE4XDr1q1LSkrKzs5es2aNaHqImpratm3boKiL2NCEs7Pz3bt3m5ubraysxL4c1JGsvb3d2toaKhsT6kWGxNTUNDw8PDk5uayszN3dvaSkpK+vb926dVLE2ODgYFtbW1RUVEpKioGBgYqKypRlY5JsPKYMiwHZxBgMmUy2t7e3t7fncDhdXV19fX0DAwMdHeNMJlMg4EIyUlVVxdBQzdFRV0dHZ1bSc2TJXYR4GbGyWYmSQbmLxsbGmZmZJ06c4PP5MuYoigWOkhkaGo6Pj08pxm7dutXV1RUbGyt9Wj6ff+/evZKSEl1d3S1btmhqako6UlKOIpi+GEOCwWA0NTWlvC7KKwMj9oaWfMTHx8fGxkrymX01jIyMIOvHPvjgA6THjpOTE/IT2c/PD86g4PP53d0vJM8lJCQgH54+fRpu2c7j8Xi8PwptFy9ejExysLW1jYyMnK2faFaIj48/fvz47du3Zz5VS9XFzK/+/GHWhzOfCkWUtibG8QOnI67VyX5K2jKNj7L+gvaDRnlDKMp8cqewfXncOdlPidfDHOs+9vKW9Bp53+qj/1Q9ISspv+6FzD7Dw8MnTpzYtGmTrq4uAIDD4Zw/fx7KhpJ0Sm9vb0ZGhqamZnBwMJlMRj7V3t6enZ29b98+SdvlK1eu3Llz58CBA3Du2fj4eFxcnKTMrrKysuLi4sDAwMuXL69YsUI0ioUkKytLXV3dw8OjsrKyoaFh27Ztubm5LBYrPDxc0illZWWdnZ3r16+HR6asFoOYlhh77ZSXl1dWVkrJXUTC5/Pr6upKSkpmRZVVVlZWVVXNRJJBlJSUFBcXKysr7927V5Zm5VJITEx88uTJli1bYOsBsTx+/DgjIyM2Nhby/xSLQCBobGyEFubr66unpydlQjhHMSwsTOhqn4kYQ3mjmGvxMR6PB5ltQHqMyWSOj4/Dz1KpVORF//Tp06GhIej/XC73/PnzyKlu3Lgh44tCd+Pgh6qqqvIuHwUFBQUF5S1AqJCMQCBs3LgxMTExLy9PNGYFoaOjs2vXrqKioiNHjoSEhCAbN0s39ujq6mpoaHB2ds7MzIQ7kkkJkQEA3N3dGxoacnJyDA0NpYsxZM8xZ2fntra21NTU/v5+KWVjojYesoTFwNsmxoDUntGizG6sbOZRMjabffny5d7e3ujo6JSUlLi4uI0bN8rY4lmUS5cucbnckJCQ1NRUKX3JBgcHMzIyIiIipIixR48eFRUV4fH4oKCgKZuni/Z6hkHF2FwCrR9DQUFBQUFBmTbIQjIAAIFA2LRp09OnT69evSrpFDwe7+fnFx4efvny5ZycHKRZsb+/f3V19eDgoNApcNnYihUrhDqSSaoiAwB0d3dD91uHh4dF50Qi1HPM09Pz4cOHLi4uUhLSkDYeslSLQbx1YgwCyl2k0+lnzpwZGxub8vhZrCubSS0ZnU4/fvw4FouNjY01NzffuHEjh8NJTEyUL1EIrhmztbWVYoLPYrGSk5O9vb3FtnoDAHR0dJw8ebKwsNDb23vHjh3SxZhAICguLs7IyAgLC/P09ETF2NwG1WMoKCgoKCgo8oDsSAYAIJFI0dHRra2t169fl3KWsbHxnj17eDzekSNHOjs7oUFJxh5ZWVlw2ZhQRzI4RCZ0Snd397lz55SVlS0sLGg0WkJCwsjIiNiVCPUc43K5ly9fdnR0vHHjxuTkpNhTkDYe0nuLIXlLxRjElD2jRZktVSafJBPt9WxiYuLt7U2hUO7cuZOWlsZiCbc+lYKQgYekvmQCgSAjI8PExERsd4Senp5z585lZWU5ODjs2bMH2T1PLGJ7PcOgYmzuMdfyFVGkUNAKHgwID2IAoIm7CUglAvhejAIeEHGAjAcEHBgYVx1SXtgxoozDCChENhYjoBLZWAzqUIGC8tIR0MsCzIqcyv/6he5N6D9fLpbznho8ldwzoKAAkY5kAAAymRwTE3P69Gk8Hu/u7i7pRBKJtGbNmgcPHqSkpNjZ2Xl7e+NwOFFjj4qKCgaDAZdki3Ykc3V1jYuLc3d3hzemkBizs7N7/PhxREREXFyclZVVQkLCli1bRNPehIJjULcxyKUjKytrw4YNQsfDNh4AgKtXr05ZLQbxVosxmGnlLkLMSgbjtBIX4RzFrVu3amhoIJ9ycnLq6enh8XiKiorx8fGRkZGy5C6KdVMUa4J/7do1Docjmj3b399fXFz89OlTLy+vJUuWyPJ7k5KjCFAxNkdB9dg7RE0PuNA482k8gJtHQYrwKI3IxmAENBJLichWUmAqEdk0EkuJxFIisaBB6KGyAlOdPEnE8cTNjIKCIhMYLfc8hsSdrmS4uTu+TA39x+lgvLwzoKAII1RIBgBQVFSMiYk5deoUHo+HNtOSsLS0NDAwyMnJOXHiRGhoqJaWVlBQUHZ2trm5OYFAgLuNIZtNC3UkE6oig8RYYGBgXl5eVFQUgUDw8/MrLS1dunRpYmLi1q1bKRQKPBWycgy82G3Mx8fn5MmTt2/fFlJQFRUVmpqaZDL52LFjU1aLQcwNMQYhu+8ikpmrMhkl2ZS9noOCgk6dOqWvr+/r63v27FkvLy/pfxQp1vZCkqy+vr6pqWnHjh1IuTUyMnL9+vWWlhYXF5fQ0FBZLOOl+ChCoGJsrjLX9BiNRoOuUcjPY/78+ba2tvDdhbKysosXL878VXA4HPKtrqSkhGy+Lraf+pxnjE0EAIyySF0yHKyuOKFNGdeijOtQGdpUhjZlXJsyrksb06KMT30yCgqKfPAG6hsmBaGvexkocw5ra2vIIHHdunXQCJVK3bJlCxQlc3BwkHIuhUKJioq6d+/emTNn3NzcXFxcIGMPFxcXuNuY0Cnu7u5PnjwpKiry9fUFiBDZ6OjouXPn1qxZ8/jxYwsLCwMDAwCAjY3N7du3iUTiwoULoSgZrKCQwTGo29jmzZuhnTcOhwsPD//tt9+MjIzg73fIxsPa2jolJUWWsBiYW2IMQsae0aLMUJVNKclk6fVMIBDWr19//PjxsLCw7du3p6Wltbe3h4SEiPVdnLLPGCzJ/Pz8CgoKNm/eDF9a4+PjpaWldXV1jo6OBw4ckNHXUVKvZxhUjM1h0EwVlNfAwIRi4zPN6+0myfcX/lTp/Nk13x0XQwLPbfI5vTX2YsjXZe7pjTa1vToMtjy9LFFQXgGCwZvBSt/+62LZDqePqcQD6pa//KtkQgAAAIKhW8XbPf+qobiPpPTx4uCMjFauYOBmkNK3f/8tw1X7T75xg7zBm8FK33yZWhi54JCCwgeWoUU17U3/CPy7uuIBdZtjcXWQw4Gg52pOhMMnKgp7SUof24Vevtb3R1awgF62ivrPf9TyAQCAN3T58zhb/T+RCPuVjb6K+vZRv0Dc6T3PfvD65ye3xhJW7ydHVk/8MYOYBUv9AVFQxCBUSAYAUFJS2rx5c2lp6b1796Y83c7ObteuXY8ePTp9+rSzs3N1dXVqaipcNiYKspAMCpHl5+dDYkxFRaW+vh6SahD+/v43btxwcnKytLQ8e/YsVDuErBwT221MTU3N398/PT0dNh3JysrCYDAsFmvKajGIuSfGYGTsGS3KTOrKJNWSTavXs5KSUnh4eEZGBmT1QaVS4+PjRc05ZGz6bGNj4+Pjk5mZ6ebmpqWlBQBgMplFRUW//vorBoM5cOCAt7e3jGJMUq9nGFSMzW1QPfYOMcGZ+pjXyxibeK9X50KjzX/K3HdcDPE+vXVN8vr/K/EsaDUfYr6LUUeUNxYMDofj9pw5NbIh+Yv+gb9/b9f51d9vPeUDwWDte6HZze4bKrt+Gm7Zv49cFbOxsBGDw/OeZd5QOdz8fcEeVRwOh+P2JmeCD6593X8/3OZmVuimOwb/9+HTnk8/02384oemSQAA88HX+4v71+x6MHR4qCHGq/VK7H9axL6DOaX5+46DvYX/GZv8X3PqsvGjaYdr+GJO/2b4YNH+ndqUmEtxk2kOcO8nsQtu4En8AVFQxAIVkpWUlPT09MCDqqqqW7ZsKS4uvn///pQzKCsrx8TEWFlZJSUl0Wi0np4epKYSAioky87Ohhz/zMzMGhoa/Pz8LCwscnNzvb29kWmEOjo6VlZW169fX758ubGxcWJiIovFQgbHoLIxURsGW1tbHR2d/Px8LpeblpbW0dGxatUq6SaKMHNYjEFM13cRidyqTFSSIX0UhQrGJGFiYuLu7p6SksLn8wMCAqDcRaTvooxiDADA4/FqamoWLFhQXl7e2dlZXl5++PDh8fHx3bt3+/v7y3KdgKl8FCFQMTbnmWv5iihSWLcAeBoDvgAw2GKeHRPnNjTGBiwuIOAAg/37iaMDPU9aHxvYmkywiVw+doKL5/KxkxwCh4eb5M7+5dQ1qtQ1qpTdbIUBYL76gLNB50rzVmuN/ll/IRSU6YPz2u23wpQAgMLqVQb7vxnq5QPNsprLzIUnPlswjwoAMNrxkdOPXnUFnZ5AwLOP9LBXff4ewRB9dnq76uAB39rbkt/k6r5tKQ0PKCvc1f9xa3RMAMgKVj89/P73gw2tIn2Vf3syLNYRDKuupMW8fzWryTbcapnzypy2lQAAAMSeThE9nSl2wR3+C9TE/4BG6E08FAmIFpIBANTU1KKjoxMSEnA4nLW1tfQZMBiMi4sLjUbLzMzE4XD19fV2dnaSDoYLyfz8/DIyMiwtLXt6erBYLJvNFlVWPj4+cXFxDg4O/v7+ly9fhhwXocoxZNmYKMHBwYcPH3748CGLxQoNDV24cKEsv4o5L8Yg5M5dhJAvgxGZuNjW1jZljqJYIG+PS5cuhYWF2djY6OjowLmLBQUFMooxAMClS5dUVFTWrl2bm5t78uRJMzOzbdu2qaury76SKXMUASrG3g1QPfYOsVALLNSa6SQtVbczk/784Wcfin12nE0cZRPHWKRRFmmURRpjkYQetg6psnm44ekHuwQAPBxQfzignlC72EJ9YK1V86p5LUqkaVjWoqDMMlhFdTXIZgBDJOIwfAFfIGA8Y7BUdbWf56dgNZW0wET/EABYirYmQspgyKrK0EMcgYBVViVDd0QJRNzvxa/8sRs/ZnxxqrmhkzE6weVwBcQ14rMFcYtW5RSo/HKkdL9PQhtOJ2BH8LefLjLGy3i6hAUPCoCa2B9wZr8xlLmOaCEZAEBTUzM6OjoxMRGPx0+5ZWcymdeuXYuMjGxqarp06RIej5cigdzd3R8+fAh5S+jr68fFxd2/f3/9+vWiEQZFRUVPT8+8vLzo6OigoKBffvmFRCLhcLiBgQFoUOzmm8vl3rhxg8fjsdlsY2NjVIyJRQ7fRSRyqDJnZ2culxsXF0ej0UR9FGUE8vaorKx0dnZWU1OLjY0tKCj48ccfVVVVt23bJosYq6iooNPpDg4Ohw8f1tTUXLFiRUVFBbKl3pRI91GEQMXYO8Jc02OwCxO0pXF3d1dXV4ev8uzsbEmtALFYrJBLqbm5OfLhzz//zOVyof8rKSlBxr4QBgYGampqyKlm+mO8tVCIbAqRrUsV050TCYuL72VQ+8Yp9HFKD4NKZ1Dr6FpMLr57VEmW/d7DAfVvy93+V+m8xvLBtiV3URcQlDcGDFWTpjA00scCgAAAAHz6CB1QtdXBfYDBYMV/3YplMi8z6sveLUkHz7lpaNIwpe/9bXW3pGOx2s6u/3J2/Rfg9lXfPBB+Yrfelxn6F2U7XcKCNaaxVBQUJH5+fidPnqyqqoKbegEAtLW1N27ceP78+bCwMDMzMymnQ93GrKysrKysGAxGbm4uZIEotginu7t7YGCAQCBgsVgKhaKqqsrlciEbD1GWLVt2586dBw8eaGpqslgsY2PjlJSUsbExHx8fsb7nnZ2d2dnZ2tramzdvPnny5OTkpEAgkLRphnnXxBiEfL6LSKalyuh0em1traam5vj4uCzCSSywt4e2trapqSkOh+NyuTQabXR0tLa2dso/X0tLS0lJCYVCqa2tDQsLMzQ0BACoqKgImeBLYkofRQhUjL07zDU9BmshSI9pampOTk7CH6BKSkpI21zoGAgcDif0IQ73PxGaGQBAJBKRHzeKiooy1muiQJDwXGOVYWOVYaHxCQ6hdUi1ZVDt0YB665DqnW49KZOwebi0RpvsB5ah1k07ltxVI4vv3YmC8ipR8LBfrXjqu6+a7D+drzPRefzft3qW+QXoYa5Ncx72yMQEkTbPUl2TxGrKLktpwAo4wz0c0WoEwZPjR5af1fv19CpfYwJZXUWLAkYFEk5n03BYLr2bweYowZ+D4hdsgAFT3FRBQRGPaEcyCD09vaioqOTk5HXr1hkbG4s9V6jb2Nq1a48ePcrn848ePRoSEmJqaoo8GLK2X7NmjYKCQlpaWlhY2PDwMJ/PZzAYYjevWCzW398/NzfXwMDAycnJ3d39l19+4fF4S5YsETqSy+UWFxfDvcVSU1MhR8eSkhIvLy8pP/u7KcYgZpi7CCGLKkP6KFZWVsrYl0wskLdHenr6jh07SktL+/v7d+7cyWAwpPsuQmu4dOmSqqrqqlWr5s2bB4+L7Usmiiw5igAVY+8Y724kB+UNRJHAWaRFD7Vq/sit/FhwTtXO42fDMg46Vjnqd0lqWcbm4VLuLwxPiTpfv4jHR69nlNcMRtX2f5lrrUvO2mseVLY4ehrvnnzOZz5u6hOFUF696ktP+qeL3qcZfv+3RrO/fetu15ztsOkhU+QFjTeGfG7V+p7Th2TCAT2XjBa/6J9jVFTEnb407KlzmEbFgc91Q8u7njtzzNaCUVBg4EIyyMkQxtDQMDIyMi0trbOzU/QsqNtYZGQkfNuURqO5ubkxmczg4OCsrCzIVwN6ChZjFhYWUCFZSkqKt7e3vb19WVmZpIWZm5urqKg0Nzc7Ojo2NDRgsVgtLa2MjAzkzdnOzs5jx46NjIxAJoqtra19fX2urq6hoaHV1dVSbCfeZTEGI7fvIhJJbh+iPoqSHBdlB/L2OH78+LNnz6CaMSh3UZLvYmdn5+nTp3NycpYuXXrgwAGkGIOwsbEJCAg4d+6c6LkQU/ooQqBi7F1jrsXHUOYSWIzASqPfSqN/i909Ng93vd2k6LHpjXYTjojuGmMTf6hwyWq2OuRS4Wwg5pseBWWWUXbKZjjBj2ib9jE2Qf/FqCzzPlnmffKFo184+IVzsSr7rv287/kDm88/Z3wOAACAavJBxhcf/HGO5c2BQMSEiG7OFIPtx/68/ZjQ+iSd7rfl8O9D8AziFizlB0RBmRqxhWQAABMTk9DQ0KSkpOjoaGT0jMlkiu025uzsfPfuXQ6Hs2fPntzc3Pj4+NDQUIFAAIsx6DDorJGREbgXmaRdLJFIFAgEdDodKhvT1NRMSkq6ePHimjVrhMJiAAAej5ebm7tq1So8Hk+lUkNCQjIzM3fv3i3aZRQVYzAzz12EEIqVUSiUsbExU1NToV7PMraKlgKdTsdgMEpKSnDqIw6HCwgIaGxsRPaMptPpRUVFvb29JBLJwcFBqMIFiaQomYw5igAVY+8kcz+egHkRrGSEjpR92lfzg7zjEHE8P/PWr1cUXt50brNtnabihOgxbUOqB3IDPyzwa3ym+epXiIKCgoICI9qRDMLc3DwkJOT8+fN0Oh0ehMrGRLuNYbHYoKCg/Px8PB4fHh7u6emZmJh4+vTp1atXw2KMxWIVFBRERETU19f39PQsWbJEUohscHDw6dOn9vb2SUlJUNkYDoeLiooaGhpKSUlBhsWg4ysqKjQ1NeHUu/nz51taWl68eFFoWlSMCQHlLlpYWMTHxz969GgmU0GqzMPD49mzZ1wud3R0FNlQAWImUTLI2n7v3r2Dg4OVlZXIp2xsbLZv315TU3P+/PkLFy4kJiaamppaW1tTqVR/f3/p04pGyRgMRkJCwtOnT3ft2oWKMRRR5nh8zNHR0cnpj1u8Hh4eyLcrn8+HsxQwGAz84Q5RV1eHfIisH4O+TuCHtra2s7tsFCmokSf/5Fy5z7Eqs8n69D07+riwhXdxu0lxu4mfeetWu3sW6gOvcm1sHg4AICm1EuVt5D5dq5dBBQAQcTwFPBf5FIXAwWL/SMjBAkAl/t5KAoflKxI4CnguejGgvLNIKiQDAFhaWvJ4vMTExC1btmhoaAiVjQlhYmKir69fVlbm4+MDWWdpaGiUlZVpampCxuLXr1+3sLCYN29eeHh4WlpadHT0mTNnxIbIoJ5jQ0NDHA4HXhIGg9HV1b19+7aZmVlERAR88MjIyM2bN4V88FeuXHnixIk7d+7AlvqoGJPEDH0XIdhs9uXLl3t7e2NjY9XU1CTVlckXJUP2GUN6e8AHEAgEfX392tpa6IDBwcGHDx/u3LlTlhvxyCgZk8mc0kcRAhVj7yxzXI+hzFUIWP66BQ1rLB8k1NmevmfHEml9VtBqXtBqrq44sXvpHR/Tx6oKInU3L4GOEeVdl1YvN328al6LvW4PFoO6g7/1JN9fmNciXCEwLWhENgHHoxLZyiSWkgJTmcRSJrE0KeNalHEdKkOPNvZGGYRefGBZ+sR4pXmrh/ET8ov6EwVluojtSAZhY2PD5XLPnj3r5+dXXl6+c+dOpNuWEP7+/kePHtXV1b106dLatWstLCyqq6tPnjzp5eVlYmJSX1+/b98+8LwjWW5urp2dXVlZmVBG2eDgYEtLi7GxcW1t7apVq65cubJjxw7YRHH//v0XLlwoLCxcsWIFdHx+fr6zs7OKigpyEhwOFx4efurUKWNjYw0NDVSMSWeGuYt0Oj0tLc3AwADOUZTi9jFdSSbU9Bnp7aGiojIxMVFeXn737l17e/tDhw49fvw4KSmJx+Pt3LlTNFtVEjY2NgKB4NSpUwQCISIiQnpYDKBi7N0G1WMob6F9pMMAACAASURBVDEkPHenfc1qi4c/VTpfbRPjoTwwofhVqcfXZe5LdXtsdXp9TR/PUxt8qTJplEXKarbKarbSVJzwm9fib95qo/ns5b0cypvPGJsIABicJEs6gEZkm6kNLtB85qDXvVS3h0IU16/9VcHm4aAIswKe62HUsdK81c3wKQkVZijyIqmQDABga2vLZDLT09ODg4OFysaEoNFoixYtunDhwrp166BMFgcHBzMzs8zMzOLiYldXV0XF361HISNEPp9fV1cnFCIrKSlZtGjRtWvXoqOjdXR0oDy0np4euFoMCqzh8Xhvb2/IxiMsLEx0MRoaGr6+vhcuXIiIiDh79iwqxqQjt+8i0kcROS7Fg1F2SSYkxiAgb4/k5GQLC4s7d+4sWLBg37590CVkYGCAw+EUFBSKi4ul+C4KwWAwqqurVVRUxsfHp1RxqBh7x0H1GMpbjw6V8Z8VhRHdet9XuDwcUBc9gC/A3O7Wu92t91uNvSKBs1CLvli7z1xt0FqjX5c2NovybBIRpns2oXiuzvZcna2R8siqeS3+5q2i/v4oKACAMTaxtlentlfnfP0iLEagTGKttnywRLfHTqeX9vq0GZOLv9pmdrXNTJHA8TJ+stK81dmgE02/RJEDsR3JINra2oyNjcvKyszNzaVsoLu7u+vr6ykUCtKyT01NbdmyZYWFhbdu3VJRUYF37aGhoceOHTM1NUWGyKDgGJVKhcrGOjs7JyYmnj17tm/fPjgCRiaTY2JiTp06hcPh7t27B9l4iF2Pvb19c3PziRMnfH19UTEmC9PKXYRzFKX0epakymSRZGLFGACAy+UKBIKBgYH79+/v3LkTvjA4HE5KSoqLi4uTk1NBQUF8fHxkZOSUHcaQvZ6bmpqkm+CjYgwF1WMoc4Slet2JoZn5reZnahe3DqpJOmyCQ6jq0q/q0oceErB8faVRY5VhI6VRI5VhXSpDjzamoTihSODIsQaxhvsdI8rxd5bG31lqqdEfMK/Fz7z1jcpPQ3mj4AswQ0yFhNrFCbWLsRiBGnnS1fCpicqwPm3MVHVImzL+6qNnExzClZZ5V1rm0Yhsb5P2leatjvpdeKycTtYo7yCSCsmgsrFt27ZVVVUlJCRs27aNQhGuBwYIa3sikZidnW1ubg6lrrFYrKtXr0ZFReHx+IyMjObm5uDgYDKZrKioGB4enpqayuPx4BBZSUmJsrKympra4sWLr169CpkoPnz48M6dO76+vvBrKSoqxsTEHDlyhEajSYnkDA8P9/X1YbFY6WE9FCQy5i6K5ihKQawqky7JxIoxPp9/7969kpISXV3d7du3X7p0qbm5GZoHOkVDQ8PV1RUAIOq7KIqoj6L0vmSoGEMB75oeU1FRQX4EIFuOiDI2NoZ8iDxYX18f2RRS0v0blFcMDssPnP8oYP6jsg6js3W2d3t0+YIpim45fGz7sEr7sIrQOAnPVVVgaipOqJInVcmTGooTqgpMMp6rSp5UwHNpJJYinksmcBTwXCUSS+zMojzo13jQr/HzLSc7nd5V81pWmLXJfi7K68JWuw8pzkdZL6SpcPnYCc4LOwYmFz/CIiniueMcAoeHG+cQmFw8ZPQyXfgCTP+E4sUHLzjOUYhsKpGtTxtTUWBC/2gklhKRDY0rEjjQP8hrZHbDa2Ns4qWHFpceWigrMJebtK80b3XQ60aLJFFkQbSQDOo2BpWNubi4cDichISELVu2wJmHEMg+YwAA2NgDPLfxMDAwAADs2rWrqKjoyJEjISEh8+bNg+Ikt2/fLi0tDQgIGBwcbG5uplAo9vb2x44d09bW3rt3r6KioqGh4ZEjR5YuXYosEoOMvphMJtK0AwlUM+bu7q6jo5OSkrJ79265Ld3fNabMXZSUoygdsaoMclwUkmRixVhDQ0NxcbGysnJkZKS+vj4AAOntUVZWNjg4uHXrVvh4GxsbHR0dST2jJfV6liTJUDGGAvFu6TGh2LR0eDyJmTlkMllT8w9HdfRd9EaBAcDDqMPDqIM+TilsMytsM6vv057unpHFxfcyqJCx3pSQ8VwygUMmcHAy7E35AkxNj25Nj+635W4uBp2r5rV4mrSjxglvLOsWNMzKPKMs0giLNMpUGGGRehnUYaYCfZzSQNcaYZG6x6axmRtnE8fZxD7ZrkwI2BmSTODgsXwMAJBOIzwfV4THSay2IdUpJxxhKmQ2W2U2W6mRJ31NH680b7XT6UWFGYp0kIVkot3GPD09IcfFrVu3whtcITEGnht7LF68mMvlwjYeAAA8Hu/n52dpaZmVlWVubu7v7+/u7t7W1lZTU+Ph4XH16lWBQGBoaJiRkQFXiwEAaDSaq6trfn5+VFQUvM78/HwXF5dFixadPn0ah8PZ2dkhfwohAw9HR8fMzMzNmzejnW9kR2zuoiw5itIRVWXz589HSjJRMfbo0aOioiI8Hh8UFIS0VYS9PZYvX15dXb19+3ahzFWoZ7Ro7iIyR1H0khCVZKgYQ4F5t/QYyjuFFmV846L6jYvqexnUqi79e7069X3a7cMqs75tnOTiJ7l4INmwQSxcPra0w6i0w4iM53qatK+a1+KCdrKeuyiRWEokFlAS0x5nlEVq7teo7ta706N7n64lNut1JrB5OChAJxTcmzmDk+S0Rpu0RhstyjgkzBZp983uS6DMJeBCsra2NtFuYz4+PhwOJzExcfPmzSQSSVSMAQBoNJqbm1teXh6bzfb29hYKphkbG+/ZsycvL+/IkSNhYWERERE///xzenp6R0cHmUzmcrlQWAx5iouLS1xcXFtbm5mZGQAAtvHA4/ExMTFnzpwhEAgLFiyADhZ1U/Tw8GhraysvL3d3dwcoMiOUuzg5OSl7jqJ0kKqspKQEi8WeOHEiNjb2xo0bSDHW0dFRWFjIYrGWL18u2vUOAGBiYmJnZ5eT8//snXdYVFf6x89UemfoZQCRrqg0aQIqPSIgYqFYEHuy6ybZZJOt2c0v2ZRNYgULUhSVLoqgBBFpIoIUERWQKn3oDEy7vz+uTsbpDFii5/P4+DBnztx7ZhjunO+87/t9r0RFRfGtQ+PqGW1nZydOr2dOSdbS0gLFGIQN1GOQdx8t+cl1Zo/WmT0CAIzPStX3a9b3az4dUekYU+oeV5Qsl2wBoTLwBS2LCloWGSiN7SJfe7OLgbx+FKVmHXR7HHR7AABUBr6+T6u2T6umV7txQOONvznFZGBKLrXROrXReqlWnzczFYD2N70iyNsIWkh2/PhxZWVlvt3GvL298/Lyzp8/v3r16osXL3KJMRQnJ6fKyko8Hs83mVBKSiooKOjRo0cXL160tbX94IMP0tPTsVisv78/OyzGtSRvb++CgoLdu3cjCJKXl8e28VBTU4uIiEhOTsbhcObm5nyt7TEYTEhISHx8vJGREZrqBhETdu7isWPHAAD+/v5zylEUDqcqu379+s8//6yqqrpr1y4ikdjb21tUVDQ8POzh4WFjYyMosEmlUpuamvT09O7du2doaCjoRGju4sWLF2/duqWurs6VoyjoIQCAhIQEGRmZmJgYKMYgKFCPQd4vFKVmXQ06XQ060ZssBNM3Kd81ptQxptQ5pvRsQmGEKjM0LUuZkebtafaK0JKf9CC3e5Lbl2n3tjdPlLyes0LeSmTwDEe9bke9bgAAjYl7OqLSPqrcOqLSPa7YPyXXNyk/NC274AG0+aOjMOFp9HS10VMbzf6bWUOdb3o9kLeWqakpLBY7OzvLYDD4Nhzz9/e/cOFCUlJSSEgIrxgDANDpdNQHj8FgCIqlmJmZ6enpXbp0qaKiAgAgLS1tYWEhaEnm5ubV1dV3796l0+kkEomzqElDQ2Pr1q0pKSlUKvXWrVt8re0VFRUDAwPT09P37Nkjpg06BIVGow0MDMjIyNDp9P7+fisrK8l6RgsCVWWdnZ2PHz+mUCiJiYlEInF4eNjd3X358uVCzoUgSFpamrm5uYeHR0JCQmVlJdvbg5fx8XEqlaqiojIxMTE5OSmOvqJQKFJSUgwGQ8z5kPcBqMcEMjsLvRbefbAYREdhQkdhwpEnV3CaThialh2hyozMSA9Oy45QZcZnpagMPFrAg+YoTtKI0zQilYGfmbt4M1YZ8SC3exo9tVAfWqBnA3mnIOKYZupDZi+/PVgIZpgqMzYjPTYjPTIjPTojPT4rNUUnTNKIVDphmk6YphMmZqWmGXgGC0tn4tB35jSdwHgFKk5fcdzLuG210VPYZA8iDmjZ2Pr169va2vh2JAMAPHv2rKurS09Pr7a21szMjFezFRcXW1hYzM7Oso09eGEwGOXl5UNDQwiC4PH4mZmZ/Px8Pz8/QQvz9vZOTExEECQ2NpbrLi0trcDAwEuXLtnb2wvy0zM3N29tbb169SrffmUQvrB9FPfu3ctgMCTuGS2c3Nzc4eHhbdu2ZWdnP3v2TEpKSltbW0NDQ7jwKygowOPxa9aswWAwnN4eXNO4fBRF+i6ioDVjsbGxnZ2dwk3wIe8VUI8J5MSJE5w3iUQiu6BTRkaG0xpEUIsSyO8aWQLdQGnMQGlMnMkIABOzUteemH5X7ixkGgYAK40BT3K7p9FTMY8MgXCCxSAk2WmS7LRkD0dLyBgsLJVOAACgsg0AMDErBQCgM3HXWhbltywSfhAj5VEv47Y1xm2mqhTJlgF5P8nOzkbLxhYtWsS3Ixm7ZszU1DQ9PT09PT0sLIxz6zwwMIDaeDCZTNTYQ1WVu7tJd3d3Tk6OhoaGjIwMk8ncuXNncnLy3bt3tbW1ucw52GhoaEhLS8vIyHAaLaKMjo7m5+c7OTnV1dVZWloKSl3z8fGJj4+vq6tbunTpnF+X9w8uH0UCgSBZz2jh5Obm9vf3a2trnzlzxsHBwdzcvKamxtTUlKuLNBe1tbWtra0xMTFoKiPb22Pnzp2cbw9eH0XhvosonAYewk3wIe8bUEhAIAsABgBFqVkl6Rm+9+KxrOXavZ5GTz3I7RLvpCGQ+fNbiwUZKt8JTwT37jNVpaAyzAh2NofMHbTbGFo2xrcjGZeBR0hIyKVLlzIzM0NDQ9lFPnl5eWwbD9TYY8uWLexTMBiMmzdvor3F2tramEymi4sLiUSKjY39+eefL1++TKVSV65cybu21tZWBEFGR0cHBgY0NDTY45w1Y6hEDA8PRx32ucDj8Rs2bEhMTNTX1+eViBA2QnwU59QzWiTZ2dlPnz6l0+n6+voHDhxA3zN4PL6qqioqKqq9vR1VZR4eHvr6+uxHoT4fO3fu5FRTZDLZ1dX14sWLO3bsQFNkBfkoCvJdROF1U4SSDMLmratDgEDeGaTxDE9y+788b16PTD4WcDXMsgmKMcjvDgv1oQMOVVmbLqRuSN+1vAaKMYgEoN3GwsLC2PmH7I5kaGkAr5siDodDnfFzcnLQ/p8NDQ00Go1t4+Hk5DQyMtLc3Ize7O7ujouLGxsb27t3L4vFam1tpdFoaPxNXl7ewcFBU1OzuLg4NTV1amqKc21MJjMvL8/Pz8/Dw+Patd8clbgMPIyMjIKCglJTU3t7e/k+Rw0NDQ8Pj/T0dCHNct5zBgYGTp48icViY2Ji+Jrao76LAwMDiYmJXD1gxYdOp586daqxsdHIyGjPnj0+Pj5sU00nJycHB4ekpCRjY+MDBw7Y2NhkZWUlJyd3dXUBAMbHx9PS0kJCQngVtaOjo6amZm5uLoIgN2/ezMzMDAkJcXd357UDQX0XV69enZKScvfuXfa4IGt7S0tLPz+/c+fO9fX1SfZ8Ie8GMD4GgSwYqNGCotSsm2GHJ7ndSa9bGjYWg/wOwQBgrTGw2rjNy+ipjoKEuyIIBIW32xgKuyOZq6srr7U9AACHw4WHh58/f/7KlSve3t7Xr18PDw9n74CxWGxAQEBOTo6hoWFpaSkaFrO0tBweHs7Pz9fV1dXT02NHOZydnWtra3V0dKhU6okTJ/z9/dkOHxUVFaiNB4Ig1dXVTU1NlpaWfN0UFy1a9MEHH6SmpkZERHCG0djY29u3trYWFRWtXbt2AV/AdwMxez2L7BktBCaTWVNTc+PGDQKBEBMTwzfihDpzoH3J2B6MWVlZysrKY2NjLi4uJiYmfA8eEBBw+vTpI0eOKCkpifRR5MpdvHv3rhBrexglgwCox9ggCMJisThHJicnOW8qKCigX9EBAGRlZWH9GIQXY1XKsYCrK7R7cViW6NkQyPzYob4nWcO39KL0wRVZd+l8JmBk9f9S+Mm/V87B881QefRj53Ivo6caclOiZ0MgYsAuG+O9y9vbOy4uLjExMTQ0lK+bIlpZlJycfPbs2cWLF3PlCpLJZFVV1SNHjhgZGaG9xRgMRnp6uoODQ1VVFae7hpyc3LJly2ZnZ588eeLi4lJYWPjo0SM/P7+ZmZny8nLUxgODwfj6+qK1ZykpKXzdFM3NzdG+1dHR0XwjPEFBQSdOnDA2Nha0rX8PkaDX81xzFxEEqa+vLy4uRhBETU1t+/btnJs0LjglmaKiIqrKTp8+PTk5+eTJE11dXc4MRjY9PT1TU1M0Gi0gIEAcU0R27uIvv/yC6kMhj4KSDALzFX9j9mVaWlpaWlpaW1vRH8zNza1eYGxsrK6urq6uTiKRSCQS2w4IQRC2ZoO8h1ioDzno9kAxBnntYBd9/GcaEoeg/1jHxrs+T95vKE/t/vnf1X1zuSZ5kts3WTdCMQZZKNCysdWrV/O9t7+/f3JyEovFCnHVIxAI3t7eAwMDXF6LDAbjxo0b/f39TCbTy8sLzUnLz89XV1enUCiOjo5chgrOzs5NTU3+/v5lZWUREREEAuHEiROZmZlOTk5snwYymUwikU6fPs1XjKFYWVmtWbMmJSWFQuHjZyMjIxMcHJyTk8OVFfneIjJHURDi5y42NzcfP368pqZGQ0NDSUlJuBhDQRMXz549Oz4+DgAoLS3FYrEff/wxVwYjCjtHMTQ0dPPmzVlZWaOjYqVt43A4BQUFHA5Hp9MfPnwofDJMXHzPgXpsDiDgheR6sb9BEIRXg/EdhEAgkNcEBqegR474cdMeU8x0VWstv9AZBPIa4C0b4wStGVu/fv26devYhWR8KSwsXL16dWdnZ3FxMTrCrhbbt2+fu7t7fn4+AKCxsbG9vd3FxaWlpYXLuRG8CJE9ffrU0dExOzvb399/xYoV3d3dU1NTDMbzxPLR0dG+vj4mk2lubi7keS1dutTd3T0pKWlsjI9NLplMXrZsWXZ2trCX5v3g/v37SUlJ7u7uQUFBgprFCQHNXVy8eHF8fPyTJ094J7S1tZ06daqkpMTb21tdXX1mZmbr1q0ixRgKW5LV1NTcu3dv06ZNBALB1taWq65scnIyKSmpq6srNjaWTCazvT3odNEXVra1/c6dO2tqaoS/yQGUZO83UI+JCYL+h3De5IGzslNQ03cIBAJ5HRDUTQyxrMnpMajHIG8CQWVjKJwGHhYWFqampjk5OXyPg9p4rFy5MioqqqmpqaSk5MaNGxcvXvT09NywYYOsrCxq7HH37t38/PwNGzZUVlbyBsdQnJ2d6+vrbW1tiURiYWFhbW1tcHDw9PR0fHx8b28vWjPm5ua2cuXKGzduCH92y5cvd3Z2TkpKQgMsXKxatWp2dhbtRv1+QqPRsrKyKioqtm3bJrxgTCQuLi5hYWFXrlwpLCxk15X09PQkJSVdu3bN2dk5Njb24cOHQ0ND4osxFCcnJwsLiytXrgQGBsrJyaGDaBdpVJWlpaX99NNPqqqqkZGR7GxDtreH8INzGniguYvy8vLx8fHCtRaUZO8tUI+JCQYAwKm2BM7DYAAUYxAI5I1DfVb/mIVVlleb87fSEMgCIKRsjNdN0dvbe2xsrKqqimvm7Ozs9evX/f39MRiMrKzs2rVrS0pK2tra9u7di5bcAACwWKyvr29BQYG7uzuRSOQbHENBQ2SlpaXBwcH37t2TlZW1trYODQ11d3dPSUmJi4tzdna2t7d3dXXt6OjgzFjji4ODg52dXXJyMm9qIhaLDQkJKSsrE2TG+G4jcY6iIDhzF58+fXrhwoW0tDQbGxv0bZCbmyuBGAMATE9PP3z40MbG5tq1a1y6GoPBjIyMAACcnJyePn2akpLC+X4ICAgYGhqqrKwUdGReN0VBvou8QEn2fgL12HMQBGEKhUgkEolEKSkpIpHIN/WCDRRjEAjkDYIwZvsaG7+PPne6E1HzsrKHegzy2hFSNsYrxsCLjmQlJSVcAqa4uBi18UCrxS5fvuzn5zc7O9vU1MQ57eHDh/Ly8lNTUyUlJYKCYyhoiAyt/6FQKGhhkp6eHh6PV1BQqK+vHx4eJhAIa9asyc/PF1l3sHLlSmtr66SkpOlp7l4mysrKfn5+GRkZNBpN+EHeMeaZoygIGRkZPz8/Op2enJwsLy9/8ODBZcuWYbFYicUYk8lMS0uztrYODg7mrCUDAHDmKK5Zs4bXGZ9AIGzatKmsrOzp06e8RxZkbQ8AsLS03LFjh8jcRSjJ3kOgMeBvoH9m6PUXg8GwvwtBRz7++GP0rx2DwVhZWWEwGPQeqL4gEMibhtXy/bfE77kGMQSDZd9/tVQZXqIgr5eenp7y8vKYmBje7y75ijEUdkey3bt3o4JqYGCgoaFh37593d3dOTk5mpqaqImisbHx2bNn8Xi8ra0teFE2FhkZefr0aQDARx99JGRtaIgsIyPD2dkZi8Wmp6evX78+MTHR1dXV3t6+urr6zJkzHh4e6M+1tbXLly8X/mRXrVrFZDJTUlKio6O5dKCVlVVra+u1a9eCgoLEe+V+30jgoygmExMTJSUlTU1NTk5Oq1evvnz5srS0tJeX19WrVyUTYwCA/Px8KSkpT09P8LLjIoVC4er1jGYwsp3x2V2kQ0NDMzIydu7cyfaDAULFGIrwntFsoOPi+waMj3GDwWDEllhwmwOBQN5CMNLkxdv/tq383q4oY3iRh7xW0LKxwMBA3rIxIWIMhauQLC8vz83NraysjLNaDACgoqISHR1dVFTU2NiIdhvbsGGDmpqasrKyrKyskOAYio6OzsjIyJIlS1xdXTEYTFxcHNtN0c7ObufOnfX19cnJya6ursXFxcINGFC8vLwMDQ2Tk5N5J/v5+XV3dzc2Noo8yO+dBc9RRKFSqTdu3Dh+/LiUlNSBAwfc3NxMTEzQ3MX//e9//f39komx6urqzs7O4OBg9n7PycnJ3t7++PHjGRkZfHs9c9aVobEyHA7H5e0hUoyhiJm7CKNk7xXwo1o0mJfhuutNrQoCgUBe8MLvnv7Ls7r9X3+gzByYAJamS9XhFR7yuhFUNiZSjKGwC8kaGhqmpqaqq6vHxsY4q8VQUIuFgoKClJQUT09PLS0tCoWC5ps1NzcLOT6TySwqKjI3N6+srBwdHR0ZGcFgMCoqKpxH3r59O5lMzsnJUVNTu3XrljjP2sfHR1tb+/z581y2ewQCITQ09Nq1a2I6pP9OeRU5ijQa7datW0eOHKHT6fv27VuzZo2MjAx6l4yMjIKCAh6PHxsb6+jomOuR29vbS0pKwsPDOaX75OTk48ePZWVlcTicqqqqoMdyqbLHjx/Ly8uj3h5iijE24uQuQkn2/gA/rcUFeZk3vRwIBALhAS+lvWTJ5+d3fmQ0eHbb0c9vUeGlCvI6qaiomJqa4i0bE1OMgReFZLdu3crNzZ2amuIMi3FBIpEMDAwmJycVFRUBAGjlWGBgYEFBgRAv8oqKChKJFBAQUFdXl5CQ4Orqunnz5pycHM4OV1gs1s3NLSIiYnJysqqq6tmzZ+I894CAAFVV1QsXLrDd81G0tLTc3NwyMjLY3oDvEgvoo8iGwWBUVlb+8ssvIyMju3bt8vf351I4aM3Y3r17eX0XRTIyMpKRkREcHMwputrb2+Pj442MjA4cOODk5MRZS8YXTlU2NDT0+PHj06dPz0mMoYjjuwgl2XsC1GPPQRBk6GW4JigrK6u8gO9nAwQCgbwVyJv+/egqU8azn3dmFY5CRQZ5TaBlYxs2bOAqGxNfjKFMTk4yGAwmk7lr1y6usBgnjY2N/f39EREROTk5dXV1qK0imUzW1dUtLS3l+5CxsbHy8nJfX186nY4giKqqqr29vYGBgaOjY3p6Otc3rVpaWrt379bX109ISGhpaRFn5evWrZOVlb106RKTyeQcd3JykpGRuXnzpjgH+R2x4DmKLBarpqbmyJEjHR0d0dHR69ev5yzNQuE08BC/ZzQKjUa7cOGCm5ubkZEROsLu9czOUeRqFS0EVJUdPHjQwMCgu7sbj8ejloxzQpzcRSjJ3gegHnsOi8W68zJcE5YsWWL7Al1d3TeySAgEAhEHefeAbzcrsdrKPvmx6/0yd4O8IQSVjc1JjKEmiqmpqRgMxtbWVkgTMHbZmKGhYXh4+JUrV8zMzND0Mx8fn+rqagqFwvuogoICtnODm5tbf3//5OQkAMDV1ZVIJBYVFXHNx+PxkZGRsrKy2dnZV65cEdkCGIPBhISE4PH49PR0rohNUFBQXV0dXzu+3ykLnqP44MGDY8eOPXjwICwsLDw8nEQi8c7hdVMU2TOak6ysLD09PXY7BK5ez+xp4ksyAEB5eTmFQgkLCxsbG8vIyGB7MM4JkbmLUJK980A9BoFAIO8cGLl1//DzlGfWH85J6oIhMsgrh2/Z2JzEWHd3d1xc3NjYmKqq6po1a/z9/fl2JAMAMBiM9PR0tGwMACAnJ4fH45ubm7u7uwEACgoKLi4u+fn5XI9qbW3t7++3srI6e/asi4uLi4sL2osMvTc4OLi+vp43DobFYgMDA6WlpZlM5vHjx9FTCAGDwYSGhrJYrMzMTM6Am5yc3Pr167OysqhUqsiX4i1nwXMUnzx5EhcXV1FRERAQEBkZKegrbyHW9nx7RnNx8+bN6elpf39/9CY7R5Gz1zMbMSUZu2bM0tLSw8NDRkbG0tKS0xlffETmLkJJ9m4D9RgEAoH8BV3sJQAAIABJREFULtn+U2TcV8vIArohYo1dvj6gjR9r+s/XzdzdaiGQBYVv2Zj4YgwNi6EmimZmZkwmc8WKFYI6kgEA8vPz1dXVV6xYgd4sKSlxdnYOCQlJTU1FJzs5OY2MjHAaezCZzLy8PFdX1+TkZLabItqLDA2RycrKhoaGchWSoZiamqqqqmpoaPj4+Fy8ePHXX3/lSkfkAofDbdy4cWZm5vLly5zjxsbGS5Ysyc7OFv5qvOUsbI5iZ2dnQkJCYWGhh4dHTEwMO42QF5F9xoTnLjY1NdXX14eHh+NwON4cRb4HFCnJuAw8HB0dNTU1Ozo6ePuViYnI3EUoyd5hoB6DQCCQ3yVuES47Qg01dK2/OBHxnzASjy4j2P95Z9qprV8648bfQR8ByNsC37Ix8cUYOyy2d+9eExOT69ev+/v7o1tkdkcyzgwutNvYBx98gN6kUCho5ZiJicm6devOnz8/MDCAxWIDAgI4jT0qKiqUlZVv3brFFmPgRS8ydohMUCEZAMDb27u0tFRfX3/Pnj2Dg4OnTp0aGBgQ8qRwOFx4ePjIyMiVK1c4xz09PScnJ4VYnL/lLGCOYm9v77lz57Kzs1esWLFnzx5eQ05OxGz6LCh3sa+v7+rVq5s2bZKVlRWUo8gXIZKMr5tiQEDA0NBQVVUVlzP+nFSZ8NxFKMneVd5ZPcb+wgOBvODN/kYgEMirAKOkF7TDZaODAu/VHKOkF7TDdWfkYu139koPecPwLRsTU4xxhsVQE8Xi4uLFixfr6emx53B1JGOXjbH35aitIlo5ZmZm5ufnl5ycPDQ0xGnsMTY2VlZWNjg4yCnGUDhDZEBwIZm6uvrSpUt//fVXOTm5TZs2OTo6JiYmlpeXC/lgJRAIW7Zs6e/v58ycxOFwoaGhxcXF/f39Ql6Zt5AFzFEcGhpKS0tLTU01MzM7cODAkiVLhLcOElOMseHKXZyenr5w4UJgYKCmpqbwHEW+8JVkgqztCQTCpk2bysrKnj59ytuvTHxVJjx3EUqydxL4Kf0cBEE6XwaKGQgEAoFAhMBbNiamGOMMi6EmigMDAw0NDbxe+eyOZFxlY4AjOMaebGlpuXbt2pSUFAqFwjb2QINUbm5uXGIM8ITIgOBCslWrVj169AjNh7S1tY2NjX3y5EliYqKQxmJEIjEiIqKrq6uwsJA9qKqq6uPjk5GRIdId5O1hoXIUx8bGLl++fPbsWV1d3Q8//NDOzg6LFbELnasYQ+HMXTx37pytra25ubk4OYp84ZJkwvuMKSoqhoaGZmZmom8MiVWZ8NxFKMnePd5lPTbXZs1C+j5DIBAIBALhhLdsTBwxxhsWQ8fz8vI8PDx428mwC8kyMzM5y8bAy8ExNkuWLFm1alVSUhKLxXJxcbl06VJbW5uHhwevGEPhCpEJKiSTkpLy8vJiB7uUlJSioqLMzMxOnTpVW1sr6MlKSUlFRES0tLQUFxdzrlBLS6ugoEDQo94qFiRHcWpqKj8/Py4uTlFR8eDBg87Ozng8XuSjJBNjKGjuIoPBGBgYUFVVFT9HkS9sSVZYWCiyzxiZTHZ1db148SJbckusyoTkLkJJ9o7xLusxMHdJBoFAIBAIRCS8ZWPiiDHesBhKQ0MDjUbj1FqcKCsr29jYPH782Nvbmz3IGxxjs2zZMmdn56SkJG1t7f7+fmNjY0dHR0FL4g2RCSokW7ZsGZ1Ob2xsRG9iMJiVK1dGR0dXVVVduHBhaoq/b46MjExUVNSDBw/KysrYg4GBgW1tbQ8fPhS0qreBBclRnJmZKSoqOnbsGAaDOXDggIeHB5d+FsR8xBjKnTt3GAyGp6dndnY2i8XaunXrnJo1c+Hk5KSurl5ZWRkaGiryOKi3R25uLuegZKpMSO4ilGTvEu+4HgM8US8hLNRx3kJez0sNgUAgkPcB3rIxkWJMUFgMADA7O8tp48HL8PBwQ0ODhYXFtWvX2IN8g2NsHBwcrKyskpOTlZSUhoaGhCcHcoXIgIBCMgwG4+vrW1hYyHk0Eom0a9cuDQ2NEydOCNJXsrKyUVFRNTU17NamRCIxNDT06tWrY2NjQhb2Bpl/jiKdTi8rKzty5MjU1NTu3bt9fHx4g5+CmL8Ye/r0aWlpKZlMrqysDA8Pl5KSSkpKEqdntCBKS0spFIqbm1taWpo4fclQb4/KykqucQlUmZDcRSjJ3hnefT0mJgiCUF5G/mVkOFiQ1ocQCAQCgfwe4SobEynGBIXFUHhtPDhhl42tX7+e3ZFMSHAMZXR09P79+1gsFo/Ha2pqcoa/eOENkQEBhWQGBgYGBgZcM7FYrJeXV3h4eGFhYXZ2Nt9+vgoKCtHR0ZWVlffu3UNHdHV1V65cydWm7C1hnjmKTCbz7t27hw8f7u3t3b59+wcffKCoqCj+w+cvxigUSkZGhry8/ODgYGxsrJmZmfg9o/nCrhlbtWqVmK2iOb09eO+VQJUJyl1cIEnGnJ0dn5zsn5oaodFm5nEciISIzt99T0AQhJ2EgMKVZKytrS0jI4P+DCNOEAgEAnk/QcvGwsLC0JvCxRiDwbh582Z9fb2fnx+vEgMvbDz27dsn6HSc3cbCwsJOnTqlr69/584dIcGx0dHRs2fPysnJ2dnZMZnM5ubmzs7OpUuXqqqqCjqLs7Pz0aNHXV1d2aloaCFZWlpabGysgoICe+bq1avj4uKWL1/OaSkJANDT09uzZ8/169dPnDixbt063lZaioqKUVFRZ8+exeFwtra2AAAXF5e2traSkpJVq1YJWthrhkajXb16ta+vb9u2bRKExRAEaWhouHnzJolE2rJlC9t5RXzmL8ZmZ2eTk5OZTKaFhYWbmxt7w+bi4qKvr5+RkWFjY+Pl5SXSSoQNl4GHk5MTAODs2bPbtm0TrjNRb4+MjIydO3cqKyvzTkBV2ZIlS+rr67OyslRUVDw8PPT19QUdEM1dvH79enx8fFhYGPvlRf+yzp07t3XrVjFfcwShdnXVtre39vQMDQ1RR0fpBAIGh8NgMIDBQOh0oKoqRSIp6esbGBpa6egYinNMyHyAegwCgUAgEIhYoGVjMTExaNmYcDHW3d2dk5Ojqam5d+9eQblqgmw8UNBuY7GxsehNtCMZ6pTg5+fH9yGoGDMzM2tpaUF9I+h0elNTU15eXkREhKDnxQ6R+fr6sgfZhWTbtm1jb+uVlJScnJyuX7/OVqRsCARCQEBAa2trdna2paXl6tWruVwrVFRUoqKiEhMTCQSClZUVACA4ODguLs7IyMjAwEDQ2gAACDLT19fU0dEyOEgZHp4cG6MxmayZGZasLJ5AwCopyaqqKuvoGBoaWqmoSO5/ODAwkJaWpqenFxMTI0FYrLm5uaioSEZGJjg4WPjTEcT8xRiLxTp58uT09PTmzZt5rTtQ38WsrKzExMQNGzZwymxB8HVTFF+Ssb09duzYIeglnZMqQ3MXm5qaUlJSVq1axXapEVuSIUND9+/evfPgwaCCAs7YmGhrS9TQUFZWxuFwv0UaGAxkeJgxODjb1dVUXV3LYuFsbCzs7DznFOd8qxgZ6Zyepr7pVbDBqarqsmM8KFCPQSAQCAQCEQ1X2ZgQMSYyLIYi3MYD7TYWERHBuTu3sLAoKioiEol8g2OoGFu5cmVVVZWvry8qh7y9vel0el1d3YMHD1AVxBfeEBkAwNXVtaOjo6ioiNNG0tnZ+ciRIx0dHYaGfOIGJiYme/bsycvLi4+PDw4O1tbW5rxXTU0tIiIiOTkZh8OZm5vLy8uvW7cuKytr9+7d0tLSPAdj9vRU3b9f++DBsLw81sCAqKtLsLGRVlCQJRIxeDyGRkNoNGR0lDk0NNzW1vfrr7eJRKKNjbmtrTvfgIwQ7t+/X1hY6OPjI4F1R1tbW1FREYvF8vb2XrRo0VwfjjJ/MTY5OXnq1CkajbZ//35BygH1XSwrK4uPj1+3bp2pqamQAwqxthdfkjk6Ovb29ubm5oaEhAiZNidVZmlpqaWllZaW1t7evm7dOvRvQaQkGxysLiq61d09vXy57M6d6ioqON45KHg8RlOToKlJsLaWAQD099Nrap6cONFgZmbs6Rn4e1Rla9eG6Oq+Lcvu6Rm3srJKTEzkHIR6DAKBQCAQiGg4y8aEiDFxwmLghY1HeHg43xIA3m5jKBQKhUqlKioqVlVVcdWPoWLMxcVldnaWRCJxbrUDAgLGxsays7ONjIwELYlviAy8CGEZGhqylQYej/f29s7Pz4+NjeW7eBkZmdDQ0MbGxnPnzjk4OLi6unJmx2loaGzdujUlJQWHw5mampqampqZmV2+fHnjxo2cL0Bra1FJSe34OH35ctndu9WVlPjsntFv2EkkvKnpc3X67Bm9ru7xyZP1xsb67u7+JBKJ75PlZD45ij09Pb/++uvExISnp6cQ4S2S+Yux9vb2S5cuAQD2798vJycnfLI4uYvC+4yBuUiygICAhISEioqKlStXCl+Y+KqMb+6iIEnGYAzfvHnp/v0hd3f50FANPH5uRTeamgQ/P4Knp3xZWW9c3BFnZ2dn51W/u8qdnJxNb3oJzyktpaanc1cVQj8PgUCLQggEAoFAUDi7jQkSY0JMFHkRbuPBWTbGCWqruHHjxpKSErQ7MwpbjC1evLi8vJxLUwEANm/eLCcnd/r0aSaTKWhJvEaLQEBHMktLS2lpabY5B1+sra13797d2dl55syZ4eFhzru0tLQ2b958+fLltrY2AMDatWtHRkbYRxsdfZCa+tPVq1UODjIffqjh5ibPV4zxRUeH4Oen+NFHJG1tytmz8QUFOXz9RdhI7KM4MDBw4cKFtLQ0GxsbvjYt4jNPMYYgyM2bN9PT0wEA27ZtEynGUDh7RvP6LooUYyhcraIFgXp7lJeX8/X24EVMtw++vou89h5DQzUnT8aNjY3v309ydJSbqxhjIy2NXb1aISZG5cmTqqSkk/Mxq4TwAvWYQBxfhkAg4F4gfhkoBAKBQCC/dzi7jQkSY8JNFLlAbTw4kwA5QcvGPvjgA65xtq0iWkjGNppjizF7e/uCggInJyfebD0MBrNjx46xsbHz58+zWCy+5+VrtAgEdCTz8fG5devWzIwwMzoFBYWIiAhbW9szZ85wOZXr6uqGhYVlZGR0dHTgcLjQ0NCioqLh4f4HDzJOnszU1cXu30+yspKW7NtgIhHj7Cy3f78alfo4Pv4Ip3DlRDIfxZGREVQkGBkZHTx4cNmyZfPZFM1TjE1OTiYlJbW3t2Ox2KCgIA0NDfEfi+Yu8vouiinGUMSUZKi3R2Zm5ujoqJjLE1OV8fouckqyzs5fz5696ugou2GDiqzsAuxdVVRw0dHKBgaTp0+fGBwcnP8BISgwXxEC+b2DaenSJ4xri54IERuSwoCenugOM5AFgaisVftQwpqTVwERM21u2ofD8d+yv4dwlo3xFWNiVotxIsTGg2/ZGApnzzELC4v29vacnBxvb2+2GGttbe3v7xdUqKOoqOjh4VFZWZmZmRkaGso384VvFRngV0impaVlbm5eXFzMG4vjws7OztjYOCsrq7m5ef369WwbCQMDgw0bNqSnp4eHh+vp6Xl7e5SXp7S1USMjVbW0FqCtjqwsdv16paammZSUhICAIEvL32rnJMtRnJiYKCkpefjwoaOjY0BAgMS5hWzmKcba29szMzOXL1/e0tJib2/PbsAwJ7hyF8vLy8UXYyhiJi6K4+3BizgZjLy5i+ifYU1NalPTZGiospGRWD24xQSDAZ6e8urq1LNnT0dH75iTBoYIAuoxCOT3DYJg/rDXTdtaEjMrCF9oM0jvU0x1dfybXsh7w5IvdkV6GVq86WW8oOMh+PbbwtWr2970Qt4W2GVjfMWYmNVinDQ0NNDpdL42HoLKxsCL4BinraK3t/fJkyfj4+M9PT3t7e2ZTGZeXh7bxoMvzs7OdXV1w8PDOTk5QUFBvJJMUBUZ4FdI5unpefToUTs7O5GSRlVVdfv27WVlZXFxcb6+vtbW1ui4kZFRUFBQampqVNTGzs6K/v7Z2Fh1GZmFzMGxtJRWU8OdP395ZmZm+fIVQCIfRSqVWlpaWltbu3z58v3793NZw0nGfMQYgiDFxcW1tbUhISH3799XVlZ2c3OTeCVs38XDhw+jcVTxxRiKmJJMTG8PXkSqMl7fRSUlysOHk2FhKoaG85XNfLGxkcHjsefOJUVH7xDSSQIiJlCPQSC/e6TlwF+S3/Qi3iFok/TPA9/0It4nEIBx8AU7//2m1/GCi1/20+kwKf057G5jvGJMgrAYAGB2dvbGjRsbN27kG54SVDYGXg6OoUxMTExPTzOZTLQIraKigsvGgxcsFhsQEJCdnT06OnrlyhXelEggOETG25FMVlbW3d0djeaJfOJYLNbNzc3U1DQzM/Phw4eBgYGoqlm0aFFQUEBl5aXBQXpUlBqRuPD16pqahG3blBMTC6WlZWg02px8FGk0WkVFRVVVlZWV1b59++YqVAQxHzE2OTmZkZGBwWBiY2MbGhoGBga2b98+z/XIyMgYGBj09PRgMJje3l7h7yK+iCnJxPf24EWkKmP7Lo6MPGpqavf3V3pFYgzFwkJqbAxJS7u4c+cuIV+CQMQBfuRAIBAIBALhA7tsrL+/n0uMzalajJPi4mJTU1O+Nh6CysYAR+UYewStGXNzc1u/fn1aWtrg4CBfGw9eyGSynp6enp7e4OBgfn4+7wRBVWSAXyGZvb39+Pj4o0ePRJ4XRUtLKzY2VklJ6fjx4y0tLeggldrQ3U2LiFB9FWIMRUUFt2WLQk5O5u3bt7dt2yaOGGMwGJWVlb/88guFQtm1a5e/v//bIMba29vj4+ONjIwiIyP7+vrKy8s3bdokQbc0LtCasb17927cuPHKlSuFhYWCigyFIE4t2Vy9PXgRXlemqqoaExM9NPTMykrawoK3g8IC4+Qkra5Ou3Hj+qs+0TsP1GMC0XgZaLEIgUAgkHnAGsnc8Gf7yNohBACA9KacWEY+c6UXEfm4NwS7bGxqaopTjM3JRJELITYeaNnYhg0b+O7RuYJjnAYeFhYWpqamycnJfG08+OLj41NbW+vv79/V1XXjxg3eCXyNFlFcXV2JRGJRURF6E4vF+vj4XL9+XYhtIxeoXX5oaOjVq1evXLkyMFB9/frj8HAVaelXuyXT0MAHBioCwBLZP4rFYtXU1KA91qKjo4ODg+fazUwIEosx1EcxMzMzJCTE3d2dQqFkZWVt3Lhx/u2wOA08hPsuikQcSSaBtwcvQlTZkyc3KBS6l5fobtcLgr+/VFNTw7Nnz4RNYrXf3KD4t68qGM9vM7q+W/JR6C9DsEr3BVCPCUT6ZaAeg0AgEMg8wKoEn4jwuJP294xxRvedLz/r8z+1KUD7rf1oQcvGFBQUOMWYxGExFEE2HkLKxgBPcIxTjKEjixYtolKp4u/vFRQUXFxcioqKIiIiWltbi4uLuSYICZEBAIKDg+vr69nRLRMTEw0NjYqKCjHPjmJoaLhnzx4slpGbe8PdXV5d/XWke9nYSOvpYXmfLycPHjw4duzYgwcPwsLCwsPDxelgJj4SizHUR7Grqys2NpZMJs/Ozqampq5du1ZQx2Tx4XVTFOS7KCbiSDK2twedTpd86fxUWXf3o/z8usBAJRzuNV1aZGSwa9bIX716RehCDR2i/KYzTz5Ev+Kg363KeWa+ZbMaVCEvgK8EBAKBQCCvBYy6zd/P2D3+JOFAdM6zHdu+WCP7tqoxtGzM0tKSLcbmExZDEWLjIaRsDLwcHOMVY0wmMz8/39/fv7S0VJCxOy9OTk4jIyMdHR1RUVFNTU280ktIiIy3I9natWsrKir4ThaClJSUgQFgMhEHB7FaZi0IPj6EurqaoaEh3ruePHkSFxdXUVEREBAQGRmpq6u7sKeWWIxx5ijKy8sjCJKenm5qamprazvPJaFiLDo6mjcV08XFJSwsTLLcRXEkmaOjo6amZm5uriTrfhlOVVZTc1VNDU8mv8KyMV6WLiXQ6VNoMz0BYOS896yQyr59rR8BgF517h41yM2H9Lqvf7M1G2V2YzC7pVwL21iA2fPgb0Ff6cjvl1H76+qDdx8Ja10hDITy+C+OH0mvKurkfZvQWw8Z78VgduON08qESm+oxyAQCAQCeV3Iu3htN2+9cld32z7DOSua1wRaNubm5paamoqKsXmGxcALGw8/Pz/eZBMhZWPg5eAYrxgDL2w8li1bxtmRTCSosUdBQQGBQIiKiqqtra2srOScIDxExlVIpqqqunz58sLCQnFOzcFsSUnT6tUKrzP/RlYW6+SkfPv2bc7Bzs7OhISEwsJCDw+PmJgYIyOjBT+vZGKMK0cRffPcuHGDxWJ5e3vPc0lsMcbuQMDFfHIXxZFkAQEBQ0NDc42sCgKLxdraWnd3z7i4vD55z8bFRaa8vFzYDGk3943kR+fODzGnHmVk49fHmMsDQHtY/ocVn5hI/9F1XcG9cTGTt2dmZgoLCzs6OiRZKF77L9XHZ0vXGIPB41Gnziuszu/8abBm04o75zf866lY146XQUZb/7P7Zr+WIn9BRTD5se34TK6Tsqi/cajHIBAIBAJ5TSB9F9N+7rL7KHjghz9U97EAYPb+vGKfDmY3+o/sWzqEAOr9W/uWfWIs9ZGda2ruUxYACKU4L9rqY2PiwWX2iWmPxS1UelGvNacVomVjzs7OqCO8sbHxPMNiKIJsPISXjQGO4BhfMTY2Nsa28UALyXJycsRcEplM1tXVLS0tlZeXj46Orqqqqq6u5pwgJEQGeArJ3NzcWltbRVTRvMzjxzdxOGBispC9ocTBwQHz+PGjsbExAEBvb++5c+eys7NXrFixZ88eyVp4iUQyMcaVo4gO1tXVPXr0KCwsbJ5VJCLFGMp8chdFSrL5e3tw0dd3n8FgGRu/7ncUAMDaGvPsWY/QEDFeZ1OsUXPSneqrlTd1V25ywANkMveLvJEdH93r+8snKmX/ONYn3qVNWlpaR0fn8uXL58+f7+/vl2zBzId3E6oMDn2zcokqQd7Q6m9fLhlIKr89Z0HGrLrQbP3djkMO0vP8UgXqsd/AvAzuZd706iAQCATyO4fxpORPf+pffzL848MRvg2X/hQ/wMBpf3Tv2DMk7hly7Ob3S3w2WKhiZm58fX32wKcPJv4vwaf7u8NtdMDo65Nan/D3hxPfJAcP/XK0TeySk5mZmczMzOTk5JGRETEfkp2dra+vX1paGhQUJCsrO8+wGIogGw/hZWOAIzjGV4wBAAoKCjhtPLy9vcfGxqqqqsRcmI+PT3V1NYVCUVRUjIyMvH379v3799n3Cg+RgZcLyYhE4po1a65duybmqQEAtbUP7e3fQJBUSgqzZIl6RUVFWlpaamqqmZnZ/v37lyxZ8orq5CUTY1w5iuhgT0/P9evXN2/eLC09L+dAMcUYG4lzF0VKsgXx9mDz4EGdpeUCtIaTABwOs3ix6oMHD4TMwWhvWrW6r+xPXzRb7HQywQHAHGnt0PYL11VWJvnvsBy50zEl7uksLS3379+/ePFi9NsE9MuFOTFV1/lEy2C55vP3vOxSQ/PRrpoOIb/c6aR1B9S2N7ws2XCOewLWkxegVg/qsedgMBidl7F7GSwWvlaQ3x/IwKmD8kvi6hiip4p6FD1/5xocxg7D8U96TUYva7zy8D/dTLxkiCuV9CNC/l7WhT6K0Z//r8+djL1kiCuVDKLCv77bx3OZm03/TAZjh8GsdP2xhwVYPfkngpb6yks5q5nuPZjaIW4mt4ATMe78YkbgWC12VeRlGt/xrd9+b4y3w2AcjA/VzauyGgIRzkzX8W25I7GRf1wphVFc/Oc4p74vzx6///xNx3xy6+tblp9tV8MCnKqGNGAhCAaDxeLUteSxgGC5aXWwg4KUlDQBIFpkpTl+HLW1tR07duz27du8HoD9/f13795tbGykUqkAgIqKipGRkdbW1sDAwI6OjvmHxVAE2XgILxsDL4JjVCqVrxhrbW3t7+93dnZmj+BwuLCwsJKSEjELyVBjD9T1XkVFJTo6uqioqLGxkT1BeIiMq5Bs6dKlCILU1dWJc+rZ2f62tgkrqzezezY3n717966uru6HH35oZ2f36r50lkCM8c1RBACMj49funRp/fr1IrtvC2euYgxF4txFkZJsobw9AABtbYOLF7+B4BiKqSleaAkZABhl6+hNuK4R8y1hylgAAE7ZULfn2qW+yamR0ty24clZ6hzsZrFYrJ2d3YEDB9TU1OLj4wsKCqanp8V+NDI6PMVSlmVfS7HKcspgaogiZAGyUZePDCfYvKLXF2oMCORdBqMRc3iyfvfSBXDuIvieLmQi1Qj6j5F9dK2me4iT9NUfQ/7W5XXqwvD0rSeZgfT4L3YlDLAAqyf528gzjK0pFwYnbzYlujz77vODl0Z5L3R4yx3V9IrSQ7qgNT1qS77CHw93jhXWHLa4s//Tf92hibEqgSdiTUxNaW34dfbFglm3ktcRAb/xc3/+uI1Rnhul8LY6K7xHLIxE5wah3DrqqOS86hfe7wQAvezH16fGpfUPln2f93dD9Jt9OdfQX4c+PWhLAAAAZPrG1zWmn7ka4QAAhJWHVoN//cOU+Md1KZp7t2m+2CrTHp9N+ftD52/2acx988xgMIqKiuLi4jo7O9GR1tbW//73vydOnMjLy8vIyPjuu++OHz9eUlIyMTGBeg/OPyyGIsjGQ3jZGHgRHDMzM+MrxphMZl5enq+vL1cjWmVl5TkVkqHGHs3NzQAAVVXVyMjIgoKChw8foveKDJFxFZL5+voWFRXRaKKvXh0dDXp6RCmpN3PdMTIiSEsTbWxsXmkbXwnEGN8cRQAAnU6/ePGig4ODBJ2aOZFMjKFInLsoUpItiLcHjTY8MEDT1ZWgFRsyerck1vOvJNn9clr//ODLxm7xU6I5IJNp7e3twuewZmcR3c1ua1QwAAA1zRo2AAAgAElEQVSAUQj6ai3x6PfLDA+nz6hqkxTm/jFMJBLd3Nz2798PADh69Ojt27fnIGs59yToH/Cbs1KHegwCgcwZ1rPUX74ZD/1+l3ZfY9uYxarIVRqyeKKGfcBGe0ZTfRcTYHW3/zjY/t1BZw15orSu59ZY95k7Za2Co3Ssh6mXq5Zt/SbKVFVa1tA35svAkaSE+2LspgSeCJmcmpKTlee5xAkah7wlzFuic4GMlp/ZfXhYS4P/xyzB5dDboMZZz+6db7fZ7EgAAAAW5fzB2zqnvm6j//zrFzPffXJ/HAEAmSz768n/PLb7KcF5HuVGg4ODCQkJubm5Dx48SElJQWNiKAiCDAwMzMzM6OjoVFRULEhYDAi28RBZNgYAKCkpWbJkyfnz53nFGHhh48F3dz6nQjK2sQe6jSORSBEREVevXmVvuIWHyMDLhWR6enpGRkZcbhl86ejoMDQU+Nxp+Ukk3G4MhuOf9P9O9CIAIJTKm9vdvlCT2Sel9NmKkNy8LhYArK78K+FOzwcdwq8V9YmOMxgaqorcPc8HCcQY3xxF9tHU1dVdXFzms6T5iDE2kuUuipRk8/f2GBrqVFfHS2Bzj1DuH1yf1eAYXvHsp57iQL3LZzb/3C+BIpOTw0hJEQU9QYTFmG3PzPhHhnrMh6Yvsk1ZIxMKmy581dCyy324X3+NsaRZqLKysj4+PrGxsUNDQ4cPH66urhb1q8GokOSwI5OUF7NYlEkKkNdQg3oMAoHMA6T3xD6FlXEX/vf5Eg1nopz30rCUilHkt8xDWv+5Df6GkUUDCACA1Z3yqQ75r+m9LIBM3T/9zVobfxVZFxXytogf64bFyRYYv/PPvz1Z9/WmJQSsyVrnxY+LzhT1TTFogzXXMmpVvf0Wc3/fyhzsfgZ09NQFX2+odTWdWsvNNZ/PkF5qRx6939zB+YkwenWdrNf2q0J35Bwnoo5PM+Tk5XmurYLGIW8ZEkv0l6E/uPCryXfJEQ6Kb/OvHBkvejCw0swQDXuxpgf60Pc5BguQyaGpWcBqOZx4TCrw2NdWWgsQzaipqcnIyBB0b09Pz4KExVD42niILBsDAFAolCdPnjx48ICvGOO08eDLnArJ2MYe6E1NTc0tW7bk5OSgyVciQ2Tg5UKy1atX37t3T2Q5UF/fqLa2wFAG0TdqkBmHIOi/4y1HLfTdl3lrYMB4w6GQyy1eUXXDR8ae7Imml2zZVdbZVbk/spy+dUfd4C8jTdv9nl0PP1g9JOparq0tLbEXgkjmKsYE5SiilJaWUigUIaFUcVgQMYYiWe6icEk2f28PCmVATU2S6wO9sv7arM1nf7NepExQNl/xzZfmD8/eqZ9blcNzVFXlhoeH+d3D6Ph2ySGvA90ucVFRpuy9AEaW2RsX+JmZ7o+J8r7/iFCenyhRUlIKDg7eunXro0ePjh492tTUJGSy7DKyeX9HdQ/6d4KMV7c9JBnaG7yxD4rX0X/wdwGBQPjhhx84R7S1tTlvwvoxyFsNDo9jNF1JGfsyp+Wfan03D/r9c/s3yxq+ebGlwmpuOfGXW87f/jFjaaLTnQ8/exp69nSoNmb06g/r/vh4fcKRiwE6tPuZMSGf7NW5cHGTitBTsZ6cOp1psrXaQxYAQLTbmfrt04APPvi/GQSDU3b+/NszflyhBlrT8R9/Hlobt8NAYJIVa2KYgijby/+Wya0qDyijFBYA7McoB1yeDhC6MM4TsSbGp5jDFZ97XL5d3U9TNvSMjv3pn14mUoLGhR4Y8gbgJ9HPN3cwHRYLehuNXl2n84NaWn5CAMcGkGC9568AMIXWNLx5kK5HQyRjtefPDK8b8ZXVhwf+adZOVzCz3nfKTp3Vl5Lw4Ob9etO/AgAA0Sey+pqr+rz2DWhuDl/wePzIyMj8I2PghY3Hvn37uMZFlo0BANDgg6urK68YAzw2HryghWSnTp3S19fn+jTni4+Pz4kTJ5YuXaqqqgoA0NHRCQ8Pv3DhwsaNGw0NDZ2dnY8ePerq6srbpQoFLSRLS0uLjY1VUFBwdnYuKCgIDw8Xcsbh4RkSSawXmfXs7qffzOy+4maMA8yengdjWuGRi/VkMUCWHLWR/PkXPW1amy4Pviiikzc7FGv6/RetjQx7D6GZayQSpq6O79Z5vsxVjE1OTmZkZGAwmNjYWN5X+PHjx9XV1Tt27JhPauUCijEUNHexrKwsPj5+3bp1YmZROjk5AQDOnj27bds2RUVFrntRb4+MjIydO3cKeW8LYnJyUl6i1A+uRD0ZVTlia1fDBLJMZc4XGRkZXHd3N1+3Faltv365DQAAaIOcxZ2L7X6utHv+87CY7QNnZmZKS0sJBIKgukcikchkMtPS0nR1dQMDA/l+74MzdYh1v/715xVex+zJI01/+/qhScyfnF9r27aXgHrsOVgs1sLC4k2vAgKZD1L2e//saCQDgOKajzafdv31XjvTUunFnRh11x/O1LhH/n2rcXvXjm+T1yhiwOzti8UT/l/8J9RYAQDgtPHLiHSfi3dGwwV+5wwAALTG+LhO7//zMcQCAJCxX38J/dtYVG7OIXe16Yb8Q5s+36qfcDVW9/mHAjJe+d0XG49g/3L50yBRnR85N4joz3PI5OY+EYLVsQxwwfgfDD+3XHGsOvfDzX8LJmjd+8pcwPgisc8EeS2II9G5EK3YF5CGBur4uOiMHmlL+zt3qwmiveD8PPeA+vKyFzeVND88u+H5z8x75ZXA4cjWNI7pj8rLHom1TglM27BYbGlpKa8xvQTcu3dPX1+/traWc7C/v7+1tdXR0bGsrEzQAykUSnNzs6mpKY1G4502PDzc0dGhra0t5AgoJiYmycnJjo6O4mzldXV1U1NTOVsMW1hYnD9/funSpUpKShoaGpcuXRJuB6+lpXXmzJkVK1YgCNLR0ZGbm4uqO76MjzMUFcUpBJy58c/L9esiE5fgAAA4E0u/xTcyzjRv/MJMc7r7XEaXhvcq25eeHOtZ9yjQMdEWtTMnEKg9PQMiX8O58vDhw6mpqWXLlt29e1ec+SMjI42NjXp6emQymdcKZWpq6t69e0uXLp1r2wZO2tvbnz17tmLFivr6eokPIghzc/OMjAxtbW0TExMxDSpJJNKJEydWrFjBV7fo6OicOXNGApOVkZEhOTlJvqYhOlqvwaV8+++mpX9ZrNL/+H//axhjqlHGABD+1Sw/JidH7927xy6/fEUgCDI7O2ttbS0owD42NtbZ2SknJ7d06VISicT/KFjVHQmx/fvSvPXPz6hpuW3edulTPQIAAJk8E/DZZ7p7u09avazOppPWffpHtd3POC09aE2xBr+c7Ed3L52GuIuAuOh/zR//gTwl4CACgXoMAnlXwJLUX2S/YNRISmBschwBShwTFFw27zcP3V22/NQ5SzkAAEIdHJoZvfZnxYu/zSEs733GAgIuXwAAQKsoSB91+skb/Y5xpvBk7kjgt5+t0ZECQGHFB1/uyLBLutURs8UICwBz4PJHf9hVbP5T0WebFwm9JGEVSWqYkaHxF5ttFmVwDKirqIn5VR+fE2F1Qz5KC3l+v7zzhv/subL8Uvmjf1ha8x+HeuxtZF4S/dUyO4tQxbACwxCkZmZnGIKDUa8aMT0teB/FWVomGYODg3Q6XVVVlfNQVCq1ubnZyspKiOPFzMxMXV2diooKiUTiXQaLxWpubjYyMhLnqSkoKCgrKzc0NJibm4ucTCKRuru7u7u71dTU0BFpaWlTU9P79+9bWlpqamrW1NRoa2sTCAKjTpqamsPDw48ePTI0NCSTyc3Nzba2tnz36FgsA4fDiJN2w3xS+u9M0qFqs+dhI6Lhl6mhDwOOkv+PjmCw6s6+aWesOFvNzjTd+uPPkxvjnAUGkl8gI4MwGIz5/6I5aWlpoVKplpaW4jiaAAA6Ozv7+/sXL16spKQ0M8Pt2MNgMOrq6shkMpFIlHid3d3dAwMD1tbWLBZrYZ8sipSUlK2t7ePHj+/evWtmZiZOSJBEItHp9Orqamtraykp7uwMEok0Ojra2Ni4ePHiOa1kdpahKFFeNkZ9+eFLg/s+SrD8cVbFeulHe+3Mb3UQJNIHOjo66uqL+ca0Xw9UKhWNhTo4OKxcuVL4rwOraf5Fxl+/4BrFyO/IO7KDz3TZrV/7X4onvPQSEy3j+07E85ks6CACgXoMAnlXQCiUQQb6R40MDYwBFcWXc7FZPRd//E/X2i+Ca//5hxve5711sbIaGrIa27/rOOPy8pd0yIDAkzAbb9wdso90kXs+k8FgcZbNMhkMgN5Gxgo//kPsXafzNw+sJoncdUgvsyf35zX1sJaSsQAgU9WVT0l2+w3E0WP8T0Rrv3XzDmFFmDNatIbQaAwgRSQKHIe8ZcxTor9y7OzEyjS7cqB0les5GUUl0VNfDZ2dnXMKLGAwmMnJSS0tLVNTUwMDA4kbUs3Ozh49ejQ8PJwzzsZgME6fPu3j4yMkU3F0dPTMmTM4HC42NpZ3qwoAKC0tNTAwCAsLE3MlTCbzzJkzioqKDg4OIiejLiAhISGcouvRo0dXrlyJjIzE4/FMJnPNmjVCjuDs7BwXF0cmk9esWZOSkqKoqOjo6Mg7bXZ2QrzaNkZVfMkT7+DNhs9/EchY86ehl4ej9rcdMtWc7jl/6NSmrarlV92MsQAAZKTy+uaNN3F/2X8kSLRDjaysFB6PF/505kRubq6UlNSOHTvE0SRojiIejz948CDfLFAEQZKTk5cvX7527VqJl1RaWjo5Obl3796FSlMUhK+vb1lZWWVlpfi5i5WVlVVVVXwTF1etWpWQkCAnJ7dy5Urx11BaOjo72zGHRf8GhrTKN+3+88yYmfykHwjKOqqS/O0zGMgrdewUemrGnTt3KioqrKys9u/fvyAZ1y/DenSlRdnFXQL/SnF4Wz7bIBDIfEGmquJ+qeulMsYf3fjlQreJl50hxx8440lmzJ86Np/8+J+Hv1jf8ENMfBcDENw2rpK+fPY/159N0Gkjj0v+7LEh7CwfT3COc0zW3+/VsjBUen6llnYNtGPkJH9f3D/FoA3XX/s2qdvC39EQi4xd+yXmot73meKIMQAA1nRLiHtT6ueJLSMz0225J74u1IuJWSKGTBJ0Ivxk2bmdm/8bd5cyw6B23Tr3eXz38jB3E5ygcTHWCHmtSC+zJ/dXN/Wgb8fnEt1KLIkOEYG5uTk7BMQFHo/H4/FaWlrXrl376aefrl+/3tPTI8Ep+Np4iCwbQ5s+Kyoqurq68hVjIm08eJlTRzIuYw8UMzMzPz+/5ORkMzMz4UaL4OWOZN7e3rdv3+Ybk8HhZHhawfGD1paaPu290ZJdSzRdePvsiM3nn1mQFfAymobbvnTWL6nI6UAAYPVcvuAVVKn77aHMD/XlxDg2k0mYU4Nm4cypZkyIjyKbgoKCecrFBa8ZE85cfReF2HtI5u0hJSUzNTWHXtW/gTBGu0dHnht40O8WPJ5cscheIqtDKpW5gG8qMWGxWDU1NYcPH+7r69u5c6efn58wMcbo/dpur5RrYducXyqs5WcfpoTP0Q2M3nrIeK/0B5V8+v28zEKqWBaLNTQ0BH0v3kKmpqZ424BC3jVwZI8A/EV/45KmcTmroI8SPjX77e975vF32+KHY3/+60oZDFjx77gA5/V//87pxOd+f8r59udDB6M0n05iVA3cNu38X7gWFgi+brBG+wYQFdffWijqRv01a/h/n+3Y/FXXNFHD2DP6q7RPTfGAXpZ2s6t3PFLPIfLFQ6VWf952I1RHwKUMa7Au4RJl36H9+vtpambLNid88+mSly9PfN0aAEPQiaw/+SZ1+oe/rV//0QBDTnex7/7vTv6BjANAwLgERuqQVwrWdEuI+/dnPk+0P7ZZZ+T6ia8L9WKKxZHoECEoKir6+/ubmZkNDg6eOnWKxWIxGM93YTgcztLS8smTJ9ra2o2NjUFBQbKyso2NjVlZWSwWy9ra2traWkNDQ5yz8LXxQLuNxcbGCnoUKsZsbW2rq6sFxbJE2njwhd2RbPfu3XxlHidcxh4olpaWDAYjMzPTwsKitLRUuCBkdyTbtm2btbV1UVFRQAB3YSMej2cyEQQRkYHLaHz46xD5E5ff3vcIg8VkIRwpCSwGQFgsZLgwPSC23ef8of9brSDmJmxmBrtQW2fxxRiCIMXFxbW1tSEhIZztxbiora1tbW2NiYmROEL7msUYCuq7mJWVlZiYuGHDBpGnFmLvIYG3h5ISqaVFop0eteULt/immP2pf9SbvXXlT2eYG1PsdCXay4+OUiVwIpkPzc3NRUVFioqKmzdvFuLX+hyp5Zeoca9lXS8gmPzYdvxHMSYupB6bmJjg7TECeRsYHR0dGxt706uAvHLk7D48VHvopSGNmMOTMQAAsLTs+ucvBuVdP6wfQn8k2u78vGjn5y89Bu0iHcPvDDjDz6pKP+Mcwaq4/elfZX/imkfwTyhiJsxp8VhNrx0Z9wXnWyv7ff3FjXgZruuL4BMRdD749w8f/FvscchbhiCJjgxdDjA4rJuVd9Ln5bwRfoqddv0/Bn5Z/ej2tSYQ9xEguh5qvrWFTBFwkHcWDAbj4ODg5eWF7phJJNL27dvT0tIYDIaioiKBQJienu7s7NywYYOJicmjR4/S09OtrKy8vLw8PDz6+voaGhrOnz9PJBJtbGysrKyE2FQAAPLy8jw8PDi/oka7jUVERAjar6NizMXFpaenx9HRka9qam1t7e/vDwkJ4b1LJBYWFu3t7Tk5ORs3bhQ+U0FBwcXFJT8/f8uWLZzjS5YsYTKZxcXFNBpNiNEiiqura0dHR1FRkYeHx5EjR+zt7XmlrKIiYWyMqawsJDiPjNV3dWhpmyn9dtmTdbXxZGR+972j5R8Wacw8u/htZYvFyjXKTX+OqTb5/i/iizEAQHf3tJSUFIIg89y2iS/GhPsosuns7CwsLNy5c6dI8SyINyLGUObquyhEkpHJZFdX14sXL+7YsUNI1SIbaWnVwUGJXOplzf6RsCb2wxMm/5wm6htt/HH/Dx9IZAwC8ENDfYJi7wtOR0cHGor08/MzMjJ6PSd9dSykHvvkk08++eSTBTwgBAKBvIDRfuW2gstuWPP6/sBfomPU1+VNr+MznZ9iJ3p/0cfkLtcGAABBB3k30dTUXLdunY6ODueglpbWgQMH2tvb+/r6WCyWhoaGkZERWvthZmZmYGBw7dq1EydOBAUFGRgYaGlprV27tqurq7GxMSEhQVFR0dra2srKirf0paGhgU6ncyYliuw2xhZjJiYmt27d8vPz453DZDLz8vJ8fX0lrk7x9vY+c+ZMVVWVyEIyJyen2tra5uZmLheQZcuW0en0mzdvFhUVrVsn4u0THBwcFxdnaGjo4eFx7dq16OhorglqavLDwwzhemyobwJRWaTKobGwuitPZ00d+ixx6VeUSaKipefKlDRvizvnsrrGKJF/xv2WJmB+vO0PewTlIwAAAOjpmRkYmPrvf/9rYGBgZGREJpM1NTXnqs3EF2Pt7e2ZmZl2dnZubm5CzjI+Pp6WlhYSEiJc8wvhDYoxNi4uLvr6+hkZGTY2Nl5eXsITx4RIMkdHx97e3tzcXEFfQ0xMTHR0dLS3t7e3t1OpVAYDoVJZMjJzjW1hSB7+WfX+c3wUN4ODSvLyk3xNIxcWGo2WkZExNDTk5eVlZWX1qk/3eoB7GwgE8uZgNJ2xIyS7/JBeckhUdgTe+LP8r17FGuhlP5qtOv+UiTX646s4POR1ARU7HwgEwtq1a52cnPjuCDEYjJGREd+vlmVkZEJCQjgDZQQCQV9fX19f39fXt729vaGhIS4uTl1dHRVmaDRsdnb2xo0bGzdu5NxwCy8bY4sxe3v77OxsQcGxiooKEokkplMCX8TvSIbFYgMCAnJyckxMTLjiEg4ODlQq9datW05OTsKzN9kdyXbt2lVdXd3U1MTVYltDQ723t89EWPNDrNlnn099xjWIIbmtTS572eLCKHqYya33RMJkKvr4uJqYmKAb+pqamomJiTlpMzHFmJg5igAAOp2empqKKvO5Ph2Ut0GMocwpd1GIJAsICEhISKioqGB7e3BpMAMDAzKZ7ODgoKGhce7c0adPaZaWr1wR8eXpU6zw3+9CgcPhPDw8NDU136UKKfjJBYG8CwjOMHyLkdrwjRiO4a8cgsuhNsYh0fMg/8/eecc1dbVx/GQzA7KHbNkBFGQPcSGiooLgpiq4tVbbWn21tnZY7a5tFRw4kOVAERQQVFAQQRCZIggiKHsTCAkZ7x9XY8wiAQJoz/fjH3Jy77nnJpdwf/d5nt8zKogh0bkYkmL/2NW4pqamKN2QBcEbKAMcKo7BYFRVVZWUlNy+fXvixIkkEqm+vp7LxkN42RinGGtvb3/+/Dnf4Bhi4yGk9kxERC8kYxt7TJ8+neuladOmVVdXnzt3blAPN6SQ7MqVK3PmzLl+/bqJiQkS3GtpaSktLa2tbZaWprm5DfOchgzu5ctGL68FsrKyFhYWiFbs7e0VXZuJKMZEzFFEuHbtmoaGBiJOhsD4EWMIYuUuCpJkiLfHiRMnKBRKX18frwbjnGTSJNNnzx6PlR579qzLzm5wF9Phg8FghvO1Nj6BegwCgUAg44PRl+hQjQ8G30AZ8hIGgzExMTExMaHT6RUVFfn5+S9evDAyMiopKTE1NcXhcMLLxjjFGADg3r17goJjQ7Px4IvohWR8jT0QAgMD//zzz3Pnzq1bt064rkMKyaqrq7W0tFJTU6WlpcvKymg0moWFxcyZvhcvRtJoLDx+DKruX79WkpLqVVB4rxOD6NpMRDEmYo4iwr1797q7u9esWTO0MxpvYoyN6LmLXJKMMw5Gp9Ozs7NdXV0DAwOFBGYtLZ3u3s0ek4uqp0e5vv758uXi9UyDsIF6DAKBQCAQiDD4BsrYYLFYCwuL3NxcLy8vaWnpwsLCGzduGBkZvX79etq0aXzLxrjEmJDg2HBsPPgiYiGZIGMPAICsrKyDg8OLFy8iIiJWr14tXJK5u7sjVihkMtnW1nbhwoXa2trIS/r6auXl/dbW0sM8oyFQXEyzsrISsoEQbUYgENBo9OLFi4WYTIieo4hQXl6en5+/YcMGDGYo3UfGrRhDED130dLSsqGh4dixYzIyMlQqlTMOlpOT8+TJE1dXVyEHamxsJBLxRUUUERskjiB5eRgSiTRWzcc+AuAbB4FAIBAIZBCEBMrAWxsPR0dHFAplY2NDoVBiY2MHBgbu3LlTX19PIpEMDAzYkQEuMQYEB8eGb+PBi+iFZIKMPQAALi4uBQUFpqamUVFRq1at4lUmSFIiEg0zNjauqqpycHDo6+tjizEAwOTJzpmZN0Zfj9FoCkVFL9avF7W1F6c2i4uLa2ho0NXVTUhIEJTTKFaOIgCgubk5MTFx5cqVsrKiNE7jZpyLMQQhuYu89WAGBgb19fUbN27kTFwU7u3x/PnzjIwMGo1mbe2UlZVlayszmqVVVOqEvLzKkJBxXTSRm0sd6yW8ITf3dU9PD9cg1GMQCAQCgUBEgm+gjNfGo6qqikwmf/rpp1Qqtays7O7du1evXjU3NyeRSEQi8dy5c5xiTEhwbPg2HnwRsZBMiLGHrKzslClTGAyGsrJydHT08uXLkQ04ZZiFhQU7GpaZmVlRUdHV1VVXV6ejo4NMYmpqlZaW8vIlTU9vVDvr5eXJGBkZTZgwQdwdExISurq61q9fj6Qp8s1pxOPx6enpIuYoAgD6+vpiYmK8vb2HVhH0QYgxNuzcRVNTUx0dHeTd41sP9vDhQ95aMl5vD8ChxKZNm2Zubo5CoWpqKnJyyM7OQxG3QyMjA2tmZjaEK2rUMDMzO3v26Viv4g2dnZ2cnyAC1GMQCAQCgUBEhTdQlp6ezmnjwVk2hsfjHR0dHR0dOzs7S0pKEhMT29vb9fT0OM33BQXHRsrGgy8iFpIJMfZwcXH5999/N2/enJqaeuHCBX19/adPn3LJMDZIIZmmpmZycjK7zTEKhfLwmHHr1q3160epZRMAgEJRevDgWVBQkLg78taMceU01tTUPHjwoLGxEYvFvn79OicnZ1CfRgaDcenSJaTb+BDO5cMSY+w4GBaLffz4cWlpqYODg6B6ML72Hoi3x8mTJzU0NAwMDHiVGLKZj4//6dPHLS2liMShJH+KS2OjTmFhydatW0fhWEPmwoULY72EQYB6DAKBQCAQiHiwA2X//vsvjUbbtm0bMi6o25iioiKJRMrLy3N3dwcAXL16lclkkkgkHR0dQcGxEbTx4IuIhWSCjD1kZWVNTU1jY2NpNFpnZyeZTF60aBE79sUL0pFMSkqqoKDA1tYWAEClUl++rO/pYT5+3GdrOzoFP+i0NBaJRBJu1s/LoAYeLBYrLy+PQCDs3LkThUKJ6NOYnJxMIBB4ta4ofBBiTIg3fVZW1sOHD7W0tAR9FnwlGZFI9Pf3v3jxooKCApPJ5FJiCEpKSs7Orleu5KxZM2F4vb4HZ2BA8cqVKm9vb+Feo5BBgXoMAvnQYfX3ghNbWsd6GR8PFAqGTB6/eRcQyDgBCZQdO3aMSqXev38fqSgT1G2Mq2bM09OzsbGxuLj48uXLOBwuNzfX0tKSU/CMuI0HLyIWkvEae7CTEqlUal9fX2BgoKGh4cWLF3NyciZOnCgoHIR0JIuNjb17966lpeWrV68SEhImTZoUEBAUExOhr49XUpL4LdmzZzrV1eWbNm0Sa69BxRivj6IoPo35+fm1tbXr1q0Ttwk1GN9iTIgG49xMFN9FXkmGxMQwGEx/f//mzZsFfSJubp41NdU3bnTMny/B94fFkrp0qV9XV0+4NwxEFKAeg0A+bFAo1pEjqQRFPg5mkCEjJ0cb6yX8h6C2tz3LZJantYz1Qt6Q/3DCjDHrCvWBUVxcjMPhtm/fnpycHBoaam1tzbfbGK+BBwBAQ0MDj8cXFhYi2UdEeNUAACAASURBVI9nzpwhEolId2lZWdkRt/Hgi4iFZIixR05ODoVC4aoNS01NraqqMjY2DgwMjI6Ojo+PX7hwoSCBoaur6+zs/PDhw/DwcBqN5uvra2hoCADw9JwRE5MeHDyBQJBgOKO9Xfv69aLly5cLN4TkQrgYG9RHUZBPY1dXF5PJdHZ27ujoEKX3NCfjUIxxaTA9PT09PT1eDcaFKL6LbEnm6en56NEjdnZifHx8YmKikAcWAQErw8NPZGT0TZsmociVVEKCNJ1O8fHxkcz8/y0k8k3Haj411/CoY9bjgzZQ70EgEsfSskVJmzHWq4BAhgj1WdykmRuL03rHeiFvMDRgmZrCgPPgsG08ZGRk/Pz88vLybt68SSKRuO6t+YoxBKRyzNDQ0NDQ0Nvbu6ampri4OCwsDI/HEwgErhIsCTFoIRkSDaPT6bdu3bK3t+eqDUOqyNzc3OTk5JYuXRoVFZWYmLhgwQJBh9PU1KRSqRQKZf369eyUTnt7p+bmppiYilWriBiMRCRZV5daZGS1t7c3Z7fuQREuxsT1UWRrs87OzlOnTk2dOrWvry8uLm7Q3tOcjB8xNjQNxoUoPaNVVFRYLNb169e9vb3t7OyQ94evtwcnBAJh1ao1ERFnBgb6Zs0aYUnGZMrGx2M7OnpWrlw5tBYFEC4kopdQaiHJ5HHtegmBQCCQcYL0QGFYePxYrwIiNpw2HnQ6PT8/f/bs2Q0NDZzWi0LEGJetIgqFMjAwMDAwaG9vP3HihLq6+tGjRydOnEgikczMzKSkpCR3InwLybicEpcsWZKdnc2rEhGjxczMTG9vbxwOt2LFioiIiOTkZG9vb66jUKnUW7duVVdXL168OCEhITExkdMf3MfH9/Ll2MjI18uWyY14M9/2du2IiOf29vZi5ZUJF2Ni9XrmhEajRUdHe3h4sN9t4b2nOfcdczE2IhqMF0G5i2zHjtmzZyP2NiYmJkjiIpe3B99p5eXl165dHxUVERPTu2iRtJTUyFjgd3VpXLrUJC9PDAoKgg3HRgr4PkIgEAgEAhGP5ubm4uLiLVu2ID8iZWPIo3q29aKtrW1kZCRfMQYE2yqmpaW5uLh4eHjQ6fSKioqSkpLk5GR9fX0SiWRqaiqkB/GQ4Swkw2KxfA3rgWBjD84QGQ6HW7ly5fnz51NTU2fPns3epqqqCqkW27RpE4FAkJWVPX/+fFFRkbW1NbIBCoVasmRpUtKN06fLly6VGblaMnRVlU5cXNGsWbOmTJki+m5CxJi4vZ65uHr16sSJEzmlr5De05zaLCsra0zEmIQ0GBdcuYtNTU283okoFIqzlgzx9rhy5UpwcLAg2xtpaek1a4LT0lKPHy+aN0/WxGRYvz4sltSTJyqpqSWurq7CO1NDxEWy+Yrf6lxYoH/C/lRAycEfEqqYenMPRv9hHr9l+z/pL4H+vO9iLmy1lgKA2ZD6w/a9p9JKGih4NfOZm34L3T9TnV59+cuQPeez69GGXrt+836y9G/jO4U/2mFZ3U/C93z5Z0JeVRtQs5736W9/7XRVlrB9DAQCgUAgEA5u3rzp6emJmKqVlJRwlo0h1ovx8fGhoaGOjo58xZignmOcNh5YLBa5TadSqeXl5YWFhYmJicbGxpaWlsbGxiObJTUwMKCvr3/69Gk5OTm+hvWAn7EHAmeIDLzJE1t17tw5HA7n6enJDouxq8UAAHp6etbW1omJiZaWluwTQaFQPj7z8/M1T59OnTFD3tYWN0xzPBpN4e5dfFlZWWBgoJ6enug7ChFj4uYocnH37t2+vr4lS5YI2kCQNuvo6ECj0c7Ozr29vXJyckOwABGLnp6empoadn8wCWkwLpDcxevXr//111/y8vKzZ8/m8k7ktffQ19d3c3OLjY1dt26doEcVGAxmzhxvExPTpKQbDx9SZ8zATpw4hN8dfGWlWnp6HRrdEBQUxOWeChk+ko2PoTBYDL085io4fbvuDDlqtevOxStX7D96v25S43E/t29/T1t3dr50f/rhrX+3rk54dt9OvvX23nmLQ37yLP+yYntIJG5/cu0W896sPz7ffrcfZ4YBgNV5c6fvzieLziTHzjOgPQkL8fPfrFUUu0wNKjIIBAKBQEaF4uLigYEBxESRs9sYewMqldrY2DhlypSSkhIWi4VYL3LOwDc4xmAw+Np4EAgEGxsbGxsbxE4jJycnPj7ezMyMRCIZGBjwNaYTEa6kRFNTUxaL5eXlJWh7xNijvLzczMyMc5wzRAYAkJaWDgoKOnv2bFdX14sXL9hhMc5dFi5cWFlZGRkZydUKzM7OTkdH58aNhMePu2fNkjIwGIrsZDJlnjxRyMh4bmBgsHHjRrG8yIWIsSHnKCKUlZUVFRWtX79eRC3N1maZmZmPHz92dXVtamoSt95MdMZEg3HCzk708PDIz8+vr683MzPjOjteSebo6NjQ0JCQkCDcjNTAwGDjxs1PnjyJi8uUkUFNnixjYUGXkRn0dwfd1aVUWoouKHiFxVLd3d0RqQwZcSSfr4iSmb5+q4sGHjBneZoynroEr7VTxYIJs9z0vslp7GEBaakZf1W8tdXSmRkwU/P0y1ddOWmZuHmRWx1UpYHq7P/t9Yu5mQAAAP33Y6/1+IT96G8pDwBw2rZ/1fE5samdS1dOgIIMAoFAIBCJw7bxQKFQfLuNcdaMUSiUpKQkzooyIDg4lp2draqqytfSAEFaWtrOzs7Ozq6np6esrCw9Pf3q1avm5uYkEklXV1f0+3IuGcaOhjEYDOEdydBo9Lx58+Lj442MjDgVJleIDACAwWA0NDSKiopsbW3nzZvHd7Zly5aFh4eXlpZaWlpyjqupqa1dG1xSUpKUlIHF0qZOlbWwoItW/IPq7FQpKgL5+TUqKqyAgACx3DuAYDE2zBxFAEBjY+ONGzeCgoLEbVSF1IytXbuWnaYoer3ZoIy5BkPg7exsb28vyHeRV5IN6u2BgMFg7OzsbG1tnz9/XlxcnJr6TFFRVkdHXl0dRySyiEQ0FssAAEujoXt6sB0doLmZVlfX1tf33MLCYv78BWKFWCHiMgp6TGGCAvIlgsPh0AoTFFAAAIDC4XGAxWQBAJjNGX989e2ZO6WvWrv7qAN0Jn4hs7e9g65ko/bmuw6jZ6SHAQAAVm9La29nUgAx9t38ONuaeiaYAN1dIBAIBAKROJw2HrzdxrgMPJAeZeyKMiRQxjc4htgV8Hrl80VeXt7R0dHR0bGzs7OkpCQpKYlCoVhaWlpaWgpxZRQkw9iI0pFMX19fW1s7MzOTq4sxZ4iMXS22efPmqKiovLy8qVOn8k41ceJES0vL+Ph4XV1d3pooxPq/srKyqKgoOblCS0tRT09WUxOtrDwgL8+QkmIBAJhMXH8/rrOT0NqKrq9nvHjR2ttbZWFhsWzZMiEd1QQhSIwNM0cRANDX1xcTEzN//nx1dXWxduRr4CFivZkgbTZONBgCrxJDxoX7LnJJMlG8PdigUChjY2NjY2Mmk9nQ0FBXV9fc3FZR0dnX10ej0VAoFB6Pl5GRUVZW1tZWdnbWHZO35T/I2Pt5UJL3Lj1Y/kn0zUhXA1V59P1PjRfUo2SI8ujOtnYGskBGbXUtA9gDgJJTU5NXWxv3MtxHgk5LEAgEAoFA+MBp48FVNgYEuykiFWVIoGz69Ol8g2MpKSlOTk6CbAkEoaio6Obm5ubm1traWlJScvXqVSaTSSKRSCQS+z5yUBnGNeGgHcn4GnsgIbKMjAwmk8lZLbZ69eqzZ89isdjJkyfzTjV//vyKioqoqKgNGzbw6gcUCmViYmJiYkKj0erq6l6+fFlQ0NTW1kUmk6lUKgqFQqFQWCxWWVlZSUlJU1Pb19dVU1NzaAmcgsTYMHMUAQAMBiMmJmby5Mnm5uZi7SiKm6KI2oxMJo8fDYYgSIlxIqRnNJckE8Xbgws0Gq2trT06XSUggzL2eozW1dmHV5tkqq9KID+NPxVbimENvO6c7GHXe+j4qScOwUbd9/88fK2ViQYAAIJ74EKpoMM/3rLYPV2T/uLW4Q27q9ekxK7RHRkPTwgEAoFAIAJh23jwlo0JsbYHHIGyK1euaGhocGkGThuPoaGiouLp6enp6dnY2FhcXBwVFYVGoxUVFbu6uhgMxqAyjJNBO5IJMvbQ0tJCbp05q8UmTJjwySefIJKMRCJxTUUgEObMmZOWlnbnzp2ZM2cKWhIejzcyMjIyMhJl/UOArxgbfo4iwo0bN+Tk5Dw9PcXaawjW9lzarLy8vKysLCMjg0qlotFoFRUVIyOjgIAAcWN0I44oSoyNkJ7RXJJMFG8PyLhl7HWMwoI9Bz2e77VSlNfx/LrM+euf108u32+/jbXvjzn1h9w0Jhj5hhGCQqbikDRHhbl/xB+xzNpury4rP9FjT+Hk/d8thWIMAoFAIBBJw7bx4C0bEy7G2KiqquJwOCKRGBoaWltbiwwKsvEYGhgMBofD4fH4gYEBCoVCoVBkZWXl5eXFMkn38vLq6urKzc0VtIGTk1NHR0d5eTnyI5VKTUhISEtLMzc3l5aW5gqsKSkprV69OiUl5enTp7xTTZkyhUgk5ufnP3/+XPQVjiB8xRiZTD5//nxdXd2GDRuGI8ZycnJev369ePFisfYacp+xnp6e4uLixMTEM2fO3Llzh0AgeHp6fvLJJ35+frq6upWVlWfPno2Ojn748GFjYyOLxRJr8uHz/Pnz06dPp6amOjs7b9q0ycLCQpSQI5K7aGJicuLEicrKSs6XnJycHBwczp49293dDQBwdHRUV1dPSEiQ1AlAJIak+0GviievejOK1t5ym/ymUwnAWOzLJ+8DAAAgZ78zrnTnu72nP2hDXgCz158FAADAqPzlKktGTgYFAEDJTw4+fif4uCTWDYFAIBAIhB+cNh5cZWMiijEAwL1795ycnNzd3TkrynJycoTbeIiCoKREFotVU1NTXFwcFhamoqKCFGUNaikxaCEZp7FHbW0tu7cYnU7nNFpko6qqumrVqoiICCwWy3WmKBTKx8fn4sWL165d27hx4yg31+Irxoafo4jw4sWLzMzM4OBgscI14ooxEevBhlxvNiKIFRPji6DcRa4omYjeHpDxxtjnK/Kn7+7nDqufBEZHfD5Vqjbh5/DCiQv+0IeeHRAIBAKBjAVsGw+usjHRxRinrSK7ouzYsWMUCmXTpk1DW9WgtWEoFMrAwMDAwIDBYFRVVZWUlNy+fXvixIkkEsnMzExKSmAx+qCFZPr6+pqamuHh4f39/exqMQKBwGW0yEZdXX3FihVRUVF+fn7sRmQIurq6hoaGZDL58uXLa9askXRzLTa8YmykchQBAO3t7XFxcUuWLBGrJlBEMTZkT45heoEMgeErMTaCche5JJlo3h7Mnp6XNTWlr141tLX1dHZS+/roVCoLi0XhcCgpKaySkpyqqrKOjrGurrmMjOyQ1wwRkfGqx2SmffHHhq1fLjX5oYUhrzt10R/R+x25G2FAIBAIBAKRPGwbD66yMdHFGODpOYZUlJ0+fZpCoeTk5PD2KBOCWBYdCBgMBvHGoNPpFRUVJSUlycnJ+vr6JBLJ1NSU76GFF5JVVVW9evWKQqEEBwdz2v1z9SLjREtLa+nSpTExMbwNmmfNmhUaGqquri6okIxCaaitLWtpaWpr6+ru7qfTGVQqU1oai8ViFRWJSkoqWlqTtLUniZ7zySvGhu+jyIZKpcbExHh6eoplki5cjI24L6KktdkIKjE2gnwXuSSZEG8PCuVVYeH94uKX7e0DBgb4iRPxxsY4RUUpWVk0DodiscDAAKu3l9nWRm9paXj8+GVcXJK2tqK1tR2JZA/L0iTHeNVjAK05+0DckwNjvQwIBAKBQP7rIDYeeDw+IiKCXTYmlhjj23Osqqqqr69v69atqampXD3K+DIEGcYLFotF7sKpVGp5eXlhYWFiYqKxsbGlpaWxsTFXq2IvL6/Tp09zdSSjUqm3bt2qrq5etGhRY2PjnTt3OI09eHuRcaKjoxMQEHDp0qVly5ZxNgcjEolOTk719fVFRUV6enqTJk1Cxnt6qoqLs4uL6zo6BrS18VpaOF1djJwclkDAYTCogQEWjcbq6upsaWkpKytqbKTr6alYWU0xN7fj7ebMCa8YG6kcRQAAi8WKi4vT19fnbIQwKHzF2Kh504+sNpOEEuOEb+4ipyTj6+3R11eTmZn85EnLpEmEmTNlDQwIfNeFw6FkZNCqqlik5zmDwaqspD5+fP/27XQHBzsnp+nCL63xCd+GE2OIg4PDsWPHOEfGrR6DQCAQCAQy9rBtPG7cuMEuGxNLjAGe4BjgsPGQl5fn7VHGue+IyDBeCASCjY2NjY0NhUIpKyvLycmJj483MzMjkUgGBgbIPS4GgwkMDDx58iS7kIzdWwwxUdTX1y8oKCgvLzdD7l4BAEJDZAAAfX39xYsXR0dHr1q1irM4zcXF5Z9//nF1dY2Pj9+wYQOV+jwz8155eZeFhfScOfK6uvhBfexpNFZlZX9hYcatW3fs7GycnGbwrZTjEmMjmKOIcPv27YGBAb5yVBCcYmzM+4MNR5tJWomx4Zu7yCnJHB0dGxoaEhIS/Pz8AOjPy7ty9261lZX05s0q8vJi1P9gMCgzMykzM6m2Nvrdu4XHjj3x8vKxsLCS0HlJjrw8kXobjgKZmZTLl19wDUI9BoFAIBAIhD9sG4/S0lJ22Zi4YoxvcCw7O5vTxoOzRxkSKJOQDONFWlrazs7Ozs6OTCaXlpamp6dfvXrV3NycRCLp6uoqKirOnz//4sWLa9euzcjI4OwtBt439mDLSOEhMgCAkZGRr69vVFTU6tWr2TIDi8V6eXndv3/f3Z2Ulhb2/DnF2Vl25051AkHUe3o8HmVpKW1pKd3ZycjKevrvv0XTpnlMnerC2V2AS4yNYI4iQnFx8dOnT4ODg0Vvg5aZmfn48WNnZ+eMjIzx0x8MQXRtNmpKjA3f3EVOSYZ4ezx+nPT0aUl//8CaNcqqqkO/7VdWxi5ZolhbS4uPT6ysfOrjsximL44gErKKp9clf7fUyVBZGk9Q0HVYeuhOIxMAAACr/eHfa92NlKXxBAUdO79vbtbRx83MAABASw5WxaDeQ2pWaANzkMlZ3Xe2m+Ck/WN6RToKq/mUt5z1N4XirXBoe0EgEAgEMmQQGw9paenk5OQlS5bg8XhxxRjgFxzr6up68OABl1xBKsocHR0jIyN//vnnyMhIGo22cOHCzz77zMvLaxQa18rJyTk6OgYHB4eEhCgoKCQlJf3555+3bt0iEonq6ur//PMPCoXatGkTlxuHvr6+trZ2ZmYm56CLi0tRURGZTBZ0LFNT07lz50ZERLS2trIHLSwsDA1ZDx48wmBYW7equrnJiS7GOFFUxMybp7BmjWJZWda5cycQM3TAI8ZqampOnDhhYGCwevXqERFj9fX1KSkpS5cuHdTBErz1pj916lR6enp/f/+LFy9UVVUDAwO//PLLwMBAR0fHMRdjXCDazMfHZ8uWLdu2bbOxsUE8Sw4fPnzkyJH4+Hhzc/ONGzeK6GI/Uri6ugYEBCQmJqalpTGZTMBhgk+hUObNs7p3L19DA712rcpwxBgbXV38pk1KDEZteHiYkMsbIi4SiY8xX0dsXR2OPRBVmDZVqSvryDK/pdsNn15cptKTuMvvQNX6uMIUdxVywYlg3xXrJ5bcXD9RZFUouZkR8N6nWxin3/7EqDo2d/q1RV5SN4RP3vvgh8/jyYoiH4ujHwAEMgL0UmTQ3aNqkfyxw5LC90tJwWcfowQah+8cTxcwGjVAlO8f61WMCxAbjw0bNkRHRyNlY0MQY3yDYykpKU5OTpxmA5zRMOROt6Ojw8zMbBRkGC+Kiopubm5ubm6tra2FhYUREREDAwMEAoG3txjCnDlzQkNDbWxslJSUkJFBQ2QAAAsLCzqdfuHChaCgICUlJQCYBQUxBQUtixYpmJgINH4UHVVV7Jo1E7KyyCdOHFu2bFVBQQFbjI14jiIAgEwmx8bGLliwQIiO4spFlJOT6+3tXblypVAnwPEIos3weHxDQwORSDQ2Nh4YGHjy5Mn9+/dHzUOfDW/uIhIly8g4U1HRPWsW0cZGegQPh8Oh/PyI9+/3hoefWLMmhEgkjuDk/1kkosfQ2muvt6x984Pc9F0bPH7dl1VCX+b+uqS0y3zp6mkTZdBAxj4o0H7vvqLnDCC6apLczLww66N3H+7emLher/FXYZP35x3ZkTD18yDs15WDzAiBSAAWC7U0YBF2grAieIhY0KmARgV5eSfGeiH/FfAuR2bNWC4zbv6m93WDP/5IdnevHeuFjD2Ijce9e/eQsrEhiDHALzhWVVXV1NTk5+cHhNaGCakoGzW6urqKi4tJJJK1tXVRUVFWVlZpaemUKVMsLS3Z0gsAIC8v7+rqmpyczGnsIbyKDMHa2prBYJw/f37t2k+Ki+MeP24ICVFWUhrJezNXVzkNDWpk5Fl5eaWQkBA8Hj/iOYoAAAaDERMTM3XqVFNTU66XBNWDVVRUPHnyZPRbro0IgrITx6q/GW/uoqmp3MOHPd7eREvLkRRjbNzdZXE4yoUL59asCRYlHAoRzijUjzHqX9UDLRdNNMAYzZ5r8tuV8DuB+zzV+4oirxSoeW2a/G4JzLrIQOf/SR99dN5PDcV8dSHAYb/00ezzSzQFqCrRZx4C3akHDxT5njpnjcPQhExOK/7j0yjT7+/Pfr7waz6zsBpCZ5uccz0ZWH7op+vlvQrmPl+GntxpdNnH8Khj1uODNmgBp6xBfhK+58s/E/Kq2oCa9bxPf/trp8t7p/7qxoHNe89mPGumSmlae2/77d8vPVRGLzwOGVegpGTBL3fGehUfETQybe/8sV7EfwkGC+fgDYJ/GOt1vCV2f1Nv74dnIDbiIDYeUlJSSNnY0MQYb3AMsfFwdnbOzMwUXhvGW1E2MicmGmwTRXa1mK6urpGR0c2bN7u6us6cOUMkEpHu0kh8wMnJicvYQ5QQGQBgypQpdDotO/tsZWXf2rXKYnktiIiREWHFCsWLF7ubmpoYDMZI+ShykpCQoKio6O7ujvw4qCeHuE2fxw/C68RGv78ZJ2zfRQcHk6KiQhcXWQmJMQQnJ+meHsqVKxdXrfpkNFM0P0okrsf6y47v/Ks1MGydCQYAzNT90Ueezlug/1M/C4VRcdl7KXyu4rtPEK2zIjQsw2Xrzisu55xSP93z1P9slr8gMSbWzAAAQL22UtUvqofFOYaz/eFJ7j4L3i8/RuWpH+KMduV5ygEA8AInp5f/uz1Mdd99P7Xen/mvEoPF0svOXeg6Gf/8nHLj1e1z16497HZ7kvBTRnXe2Om788miM8mx8wxoT8JC/Pw3axX+/W7WgftHtpxE7cmoDTYmtOUdW79i1z8zH35rB91ZIBAIBDICIDYec+bMSUpKWrVqVV9f3xDEGOAJjrW0tCQlJfX29mZmZopi0YFUlI1+oIzLRJE9jnQk6+np2bVrV01NTXFxcVhYmIqKCiLMeI09RAmRAQAmTGjNzOyVkBhD0NHB+/nJXbhwHocjLFmyZKRyFBGys7Obm5sDAgKKi4tF8UX8QMWYuI4dY6LNdHV1N25cn5QUqq6OdXCQeB/nWbOkz5/vyMzMZEtxyNCQ6B08q+PhL8sD/8H87/o/C1VRALC6bu/2P9AWlFC9y0O9rzhq17JlK3Ue3NhgyJZcKJV5v4Xf81j9yUrD8rp1lyJmTeB/lYo/MwCERZHdzEjRVk7LPRFW6fXTcj00EDI5q/rkjj8wn98O0kGDciGzEWZs/mq2gTQAxIAdy39wu51Rx1EKzO+UKfdjr/X4hP3obykPAHDatn/V8TmxqV0+7J3Qyhpq/Ump11Kt/WfYO32eWP25aOcFgUAgkLGC2REXePgn6WVJ56eooFgNF8J89uO/z147X3McPlhOT083MjLKzMycPn26lJTU0MQYOzjGTkrs7++nUCj+/v6c7vCDMpqBMt6wGBdIR7JHjx45ODgYGBgwGIyqqqqSkpLbt29PnDhRRkYmPT199uzZyMaihMjI5Mr4+IKAAEVFRUmJMQQDA7yHh2xpqdQIvoE9PT05OTm5ublycnKnTp0SxRfxQxRjw/dOHE1t1tr66OXL/m3bVIc/1aCgUGDxYqmwsCyuDN43MGvuBlrftUk58LUzFgAA6HW/2P76MOTrS5+qSMhP8INFcnqM8fr6jvnr023/vHNs+STk4VJf2smzHfMv7ZmlTwBA3m7N/nWhU8/HvwzZacDxsci77thqZroxa9qpSHv+wn6oM4sOLTv6cqfXn16KwiZftyR955G+bYmbjDEAMITMhlbV0nzzqAytrKoMurp63t+A+5RZvS2tvZ1JAcTYd9vgbGua3oX2MFZfJd7S+vv4ya3Tg6sx5nODD/y8d54ezK+BQCCQ8Qt6wuLQVdku0d9cMfrLqWz/nkafs7vnjUcxhth4TJo0SUVFxcjIaGhiDABw69YtNTW106dPs5MSs7KyNDQ0xBJjCKMTKBMUFuOEqyMZBoMxMTExMTGh0+lIQVR2dnZDQ4Otra2pqSkOhxssRMa4eTNhyhRpXd3R+BPu6ipTXd334MEDNze3IU/CmYvY29s7MDBgb28/ZcoUUewQPzgxJgkXewlrM2pS0kNvbyIeP0pfLUQixt1d/ubNm6tWreJ+Da3nEDT3xjcnn+50tpIDYOBRbny92c7lylCM8SAhPcZqS/ti3oZHc6Lu/jRTlf22s+h0BmLGicCg0wHnzwAAwHwdu/PHuqX7Ft8/+FmsV9Qyba4Pbegzi56vSC9Jvd1q/6WrrNDJqdk3b73MvG6F/4r9ynI5qcizDdc/eT+qx2pvaqEjbzWztbkNTJig8N7rvKcsp6Ymr7Y27mW4D4fBEqv5FIc7FVbdae0PTmt/ANSmvDPb/Jdv1CpPWq81Dv+uQyAQA5/RVQAAIABJREFUCOQNKBWrb8IrF68+s82wsX7dxr9nyYzLb+2bN2+amJjU1tYGBgYOQYwh0bDi4uKOjg57e/uZM2ciSYmcNh5DQ3KBskHDYpywO5JxyjYsFovcZN+7d6+srKywsDAxMdHY2NjS0tLGxkZQiKy6+k5jY5+f32iEMhAWLCCcPJllY2MjliLiWw82efLka9euubm5TZ48WZRJPiwxNjr9xEZcmz17dhuFYllYjIA/p+jY22MfPmyor6/X0tJ6/xWUrNcmu0P+95N+IgWo03Mj8ykLV8xRHbOvPerjQMWwS/0A7xrw9N4svYbSg1viTt1u7CAouazwPfaLvemQ3jZWe8W+uf/+LrWw4u4MXS7VMlC1y/TXP14wMQazMp4FuAp+iCQRPcbqSvoqJNbo10eckgkAIOM2fzp99y+/rrT4zE2tvyz2yPnn5p/M1uPYhF4ZFvJ5xfLLmQctH3U7Lw85MTVh0yTsSMwsRr4iq6voyUsNc9O3qknA5LLWlyiBb/dhlB92dni0q+HKMt6YHqv3dtjRLOvtDrK1l47GVButmD4RlSb0lI3cAxdKBR3+8ZbF7uma9Be3Dm/YXb0m+V39GPPlycUzLlgeO7tnpp60tLK2mizoZvEcFwKBQCDjDTnXGWvNDuzOMvktUm9cepIVFxdTKJSKioqFCxdGRUWJLsa4nBKVlZUnT57MripBbDy8vb2x2GHdeEgiUCZKWIwLpJAsPj4+MDCQ6yU3N7fi4mI7Ozs/P7+ysrKcnJzGxsaBgYGJEydaWFi83yWZfvdu/syZRCx29G5QFRUxNjYKmZmZXB0IeBHuycFisaKiooyNjT8+MTb6nZ0RRkKbMbOyit3cRsYzU3QwGJSzMzErKysgIID7NSl3j0D9nyOjWv02NF25hl10yUwOAMAkP/oz+vNDvetLdqzWQAEAGDV5+1fFXSuiKrt4Hr4w302YRR2NRisuLjY0NJwwYYLYa8Vq/i/vwI92aMBs+SfoVJRmQHKtvWFPxXcBp5Z8p5J3yECk338OWJ1VP26826RBRHfyexln9Hv18Z8Sz2jvGGxdYh5XJAayLl2ta2hfPRGz+u0QYebx6tRN2kGnr7bt2rPO5vs6Ml7NYvonFy7ttn63hP4nv6z5tm3Dza+dZVHA84ew1S6LPvnF6fbeyVLDnVksmK2NzawJbkpvvzPRw5wco79oHvYfH8PrZd1Ey4U/n9k9BctORBR0ynP/iD+ye9d2e/UXXSglY/dl+/9Yqotmi0m03orv9+Xt+NRRs7qNRlA1cV0WdjQIBscgEAhkvMNqjL30V93UHYuf//ZZ3rQoew1Ww18O3x95/CbpHT9ndV6Sm2xhxudrE5PLaEr2Tt9ELF1ggGpMvLrry6ycF/QJdo4HIpb5GoqY79Pe3t7b26ujoyPi8hAbDzwe7+joeOPGDVHEGF/D+vb29vDwcH9/f/Zm2dnZqqqqxsbGIq5EOCMVKBMrLMYFUkiWm5vr4ODAOY5GoxFjjy1bttjZ2dnZ2ZHJ5Li4uJSUlOTkZHNzcxKJpKuri0KhamsfUCiMUQ5lAABcXMCxY4XTpk3jtSkf1BeRTWpqKpPJ9PLyEuWIH4oYGyslxsvQtFl7e1lHB83cXHyVMmymTAHp6VX9/f1SUlzXM1Zr2QaDE2E5edqNd7WdLzpgAQC9t+7dVJ3qY8zuoU659fXV6sVbctIUyr79Z/9vVsk/6Qu+zcZisf39/adPn7a0tPTw8JCVHYptCePpozO5urueOlsroYCS5YH91ue2PLj/jcEs8QQZIzemnPTLusWRP8fcGsIq3iERPYb3OdPGOMPvFZSq++cRWYLMJ6Qm781q2vv2Jzm3n4taubYY6sxigTHdk9u7h3MEPejkGLM9ud0CX5Wf+unvBbs4Btj9oLGCTllqcvDxO8HH35uGo4u0rPW6sLvrwgY/GQgEAoGMF+iV9z7/vGnR5S+/sHzZ43zy8xN65zZp7sg/tgMAABjPfgv9XcFcCdWfeOgWddvu0tWyz4/8u/Xvau/ftJt7VNde+f6cEaPgm7+/OPZi7q9GosWEyGTy2bNnbW1tZ82axXOfxIf09HQCgaCkpJSfny9cjAnpGwZ4bBW7uroePHiwYcMGkRYtGsMPlA0hLMYJVyEZ50v6+vra2tqIGwoAQE5Ozt/f/99//121alV1dXVSUhKFQrG0tCSTy+zsZEb/nl9ODm1srFRSUoIoSdE1GJvCwsJnz56tX79eFMXyQYixqqqq9PT08aDEeBFdm5WUPDY3lxqTtePxKAODCU+fPp0yZQrXSyjNZdNmHrz4+b4B8y/9jTAAACDr7fMNo+GvY283GWjIL9IJ/HsiUQrYr7OV21LdyNQX3EEYjUa7urra2dndv3//2LFjDg4Ozs7OeLx4FZi9hbWVGrq26m9T4Wz0zDpzH79kzjIRdNy+8767dypvrD9jxfFlgXHcNA8AZplYx+YHdEiHQCAQCGQU6K87viahY8P2nc4EFDD5KszJd9HZ4047t0/GAQAYlRmHMiy+vaqMBgNKalKAyWKhUGg0RkVDDo2Stl7uDgBg9nXQGFh1bXlxquFZLFZ+fv6zZ8/mzJlDIpG4XqXT6W1tbQQCQUFBoaWlpaCgQFpauqmpSZAYY8uwgYEBQYb1vD3HUlJSnJycFBUVxVi3aAwtUDacsBgnfAvJEObMmRMaGmpjY4OYziFGi0VFRd7e3m5ubq2trc+e5RcU9Hh5jV7lGCfW1qwbNx42NzeLrsHYvH79+tatW2vXrhVF4Y9/MTaelRgvwrVZX1/99OkS97gXhKkpvrKyilePAZQi6ZNlVwIijPYEKPL/7mJRyXQZBRkAAEAryhLJXeTBi3CkpKRmz57t6OiYnp7+999/u7u729nZYTAimpSyOtt6mYp6CuxUOEVZRdDb2i7kuDJB1/8JEm32IQAtTiCQjxlW86ntctZhhfTh7zWQHDwLg5qK4vgnNetKA7P74d8H3Y1mSOOdFXRW+X2TVYfs1V976atddgaz5KRc3hvngHp5jzRqKgrl7Pb7ayZgvk4OXWjjLUdwUTbevD36Zb+Ii6U3JX+318lwhjTeWUE3aOmhR41MAACg5xw1xXGsFj1t9XUa3/GVR341xE5FoRwMdxUOiPU+QUaakbkkuGG1Z/zrqOAy7Wgjk+e1gazfR+/Tl9LZnvXrzW/0kJtYWTf/2627ETEGWH2phx4b73EzwAAAcM67ZoLvvjXG7/S9oL55jTpyg0FLOGMh979ND0x3fqIqvi86mUy+cuVKZGRkR0cHMtLa2nr8+PEff/wxNDT0r7/++uGHH86ePctkMhkMBq8Ya2lpSU9PP3bsWFRU1MDAwMKFC3fs2DF79my+3cO4gmOIjYeLi4vYixYNJFDm5eV1+fLllJSUgYFBPsiqqqrjx4+jUKhNmzYNR4whmJubm5iYxMfHc43Ly8u7uromJyezR1xcXIqKishkMgBARUVFU1NaVRUrJzc2t2EGBqju7i5FRcXAwMAvv/wyMDDQ0dFRFDHW3d198eLFRYsWqaioDLrxOBdjVVVVp0+fvnXrlrOz86ZNmywsLMa5GOMC0WY+Pj5btmzZtm3b5Mkmzc00HR0xwkSs9or/Oe6QmnanluO7kfG69MDC77Xktkorfz1z+6NnIn/x6uvTXrx4wfclJpXK0l7uLqiJFUBLyeH6uvoAAIDZ0dslL0MU9YMgEom+vr5BQUHV1dXHjh0rKSkRdbkAAE7xxWKxAABjdwFAPSZZUGohyeSigzYwDgkZG1BqIX+TizaOxBWI8z6dxmDlsZB/9Gv/zlb38HOSuvG734G6Gadi2voyKuPmD5zYt/5MMxMwK0IPbbul+tX1iy09d8tjZnb/u2/TuRbeu2Gsxbq8gezMXdqg6nLQimT5nX/XdqU9/ts8Z+vu73JoIqyK+TriyOpw+soLMS3ku2XnXOt/2bv9YicLAGZPb6/GktvUtwtmZkT44gG/8civvqimP0gIkv+Q/hB/vAz7kuCC1fkgfOPfbRpq/D9enOuu8fDpM+vzo2qsljviAACA2R61/b7WqUPVA3/d3tf/y5dPEL8m/IK1Zb1HopbXf72zUHB6vHCeP39+7NixzMzMhoaG48ePNzc3v1sCk0mhUOh0uqOjI1uMiSXDEJDgGLukaqRsPAbF1NR08+bNvb29oaGhtbW1fLehUqkJCQmJiYm+vr7z588fQo4iX7y8vDo7O3Nzc7nGnZycOjo6ysvf9Cdl9yJDfnz5slpfX+CtMy35vCpmIwrF8U/qj9AGFgCs9od317rvU5beQlDYY+eXcLOOCcBAxaW4hXb/U5XbKvVuUBhoNDA0VFNRURFFg7EZGBiIjY11cHAQpQ5wPIuxD12J8SIrK6ukRFBQwOBwop7IOyMKzlFmy/GgU1HyM5Nr/2x5vMwuJ2rJdy+ook2ooIACgIU8cXh3FCadWhN35dsrKiGfGguMp2I1HafUx4bVtPd0PjiZ3+88SU08eaKqqrps2bJFixbl5uaGhYVVVVUNtgdqgqosuoPc/vYXhdlObgdyaspQj0EgkA8HZn300cPd/r+u12wsqe4yn7Z6mpoMFq9mPy/Qnl5WVMcAaJPPQpsK9gZaKUnjCJoui5fb0yvKGwX36WM+jb6eO2Xl4SBjJSkZPe+Q/fM7zp95IsIfAbT22t9ban7Z7qImh5fSnr5yg0d/TlYVHQAWubdXVob32bOgccg4Y8iXxPsMlMbcNvolYpWDyI9bxwJW953SZmdTPSTsxexrbkSUJwoNWOTWXiqzOz867+FLKhOHlyagyG29tKE76tLp9Nu3b586dYq7JwwAAAAMBlNTUzMEGcaGKzg2sjYewhEeKBvZsBgnSCFZRkZGQ0MD5zhi7MG5Es4QWUNDh5aWwII3vHdQCyOMxUL+HX/+r7mOxxQvNRToLt7ld/35jKDCtn+6Kjd9MnBvxfqsl+X3Nm0r0/pqa2nL0Y7y9Uu6767YlF0/iCIDWlrS9fX1Yp1pQkKCioqKq6vroFuOWzH28SkxNm1tDcrKoj/1eGNEsctBivP837hcHHa2VsLJ6Vke2G/dfP7BfZG/eJWV5dvb2zkG6C+PWO+ase2Va1hQkDH77y7j4Y7/6WC/PfKw5CvNTfqz7jWxpGZ8u2jS9TAXre/3lU/5bufEIT290dHRWbdunaenZ0pKSkREBNfvIxcyU/TNml7mvUa+S1ndedVPVfXsdcfsYoBxGwjkY4DVELrV5JzNycCaQz9llPfKmfsEhZ5c6awImk99aniUlJW3qGTF2v9Jf/Ho/Aw1FPPVhT0O+wlHsw8u0aA8Cf/7yz/v5VV1ATXjeZ/u/GunzeDPh7pzDh6o9D31rTUOTZvtYvLbnfA7s/d5KvUVJV0pUPLaZML5vcKkdj5LiTjzRMd/3yTBxfaUwse1GrZm6m++rqVspup3RpW/ZDiYsBOzOm/4av2mfCn5zDzB2RiMllf1QMtFBQ1Ab3cfXVZOjudcKALGIeMMES4JLvheITjSpq8BYFRLfL3DglX3rFXVUPnNmWG1V31v+em2g6Y1A/KmpC2npqpgMK09Rbtczpc1MxXMrT49bTfsh7h8xRgAgE6nV1VVRUREWFlZ8a0NEw5X5ZgkbDwGhbeibKSqxYQgqJCMy9iDHSLz9vZua6OoqIhUUMesf7T7cP/GRHdDDGC8fl3apbF0tclEGRSQ0Q8K1N+77/ULo2V3mma+2VracP1y/R8ON9YygJbQ506qquinT9uFbfE+WVlZ7e3ta9asGXTL8SnGPqw6sSHQ09NDJIqeyszfiEJ8l4v3kJcntLa2cgZdNXY+/m0nAAAAen8/u2ph8pEDlUc49qP2D6hbHLj9zQH2z8KyJKlU6sOHD9FotKAP0djYuLS09MSJEyQSacaMGXxt8THGDhs8bh3amz3jmL1+R9mBQ0+NQj53GY2u7PyBegwC+SjAYDH0ssQLXfvjnx9Ubry7fe7BtYenFB+2ePMyWn1F6P8yXI7svGJzzinn0z0v/M+e9tdEdd74zXdnxaIz/8TO06I9iQvx+3KzVkzsMuFeuczKU6fjjFbmecoAAPBTg6OPvJi3YMFP/SwURtFl75HwuezUL2bJD6ttv65gKhqt+vPIQTdpwVP2tLWzFO3l3lXWKsmB9s52JgDsvy6K8673zRO6MFrZ8d//ap0dtk4XA5g93b2Mtuy9ntfv5zXRFPWmf7Lhz4MzjAiCxgd5eyGjjSiXBBeDXyEjSE0Nra9vsAAEAHhdk2cVlXgeV3FuMCv89oK6p+xbI32zb+LN3v5Q/bQMADen31Kd3hsRidZWbpviQZGTkzMxMdHW1u7q6urq6hJr39zcXAMDA3ay0IMHDwwNDevr68WNwwwfMzMzIpEYExOjpKTU0dGhoaHh6enZ399fVjZ8IzSBqKioREREcFXKGRgYpKamysrKysnJAQCUlZVTUlLU1NQ6OgYmTBDl7rk/9eD1It/V56wxAACMkcVck9Qr4eWB+0zV+15FXqlT85o2mX0rx6S3Piv99UzdJH8fq8HMJqWkqPX17SK+IfX19QUFBdOnT6+oqBC+ZXl5eU1NzbRp0+rq6kSZeRRobGwsKyuj0+kWFhbII4anT5+O9aJGns7OTgJhmCJzCC4X79HW1lRZmZyamjq8ZQwOnU43NzdXV1fn+yqNRmMwGBgMRl5eXmBaMlpp3ZkNTVsueelE9StruC9fc3H3RBwAgEUOn7dnj/bmVyct31dn/PwVaWUbdI+ebELen1o9TCzAT/qj/IvP9HsFTCIQqMcgkI8Ggv3mrxwNpAEgztqx/LTb7fwahoXC2xdRKm6/hT/2WP3NSsOaunVHImYRUYB6Pza9x2ffj/6G8gAAp8D9qy7Pic3pXOot7Ci0khNhtV4/zdFDAwBYXbeP+h/oCkqI3+Wh3FecvGvZ3pU6Z25s0EYDAACatD+y/4uO8ttXdm3ctAyEX/lEU8gjNhaL+/9iPL9kdT/8ZV/gP+j/Xd+9UBUFAAutZTHPFeWzfWmkLbErL+HT5QcW4zTyvzcTMD5J5CNBRo9hXRKS5cULamvr4DY5OB3j8soKDHa4DYuHTF9fn7i7MBiMV69eUSgUcXek0WivX7+eNGlSaWkpAIBMJre0tBCJROTH0YfJZOLx+IaGBjQazWQyBxUSwweHw7169er+/fuIpyIbRUXF+/fvs70f5eXlc3Oz0GgUBjP49cyozPwhTnVXnumbFr94vf3R/k/n/av/0wALhVZx8b4UbqmIAgAARslNe9v4J0wZ0qrASwcnDeqyh8MN9PX1ifLpUKnUly9f6ujoCHJrYNPa2trZ2amvr19dPS5i0r29vc3NzUwmU1VVlUgkDuERwwcEk9mjqTkS35DDcLnQ09O1szMRsYO8JGAymY8fP87JyTEyMpo+fbqCgoKQjdHqZvuufL2PaxQlt+7mP+v4bC6z8pDPxRPv1+fhLU40hp7gs7GgSQQC9RgE8rGAVlXRfHPbh1JWVQBd5G4W4PwuknddvtXMf2OW7alIC1kAAIvS0trfmfQVMfbdNjjbhnomEOLATMtOudzp9KcXkobSn3YyoWP+kT2ztAgAyNst2L/uytTzGS9DVhiwH69JTbCYt/ZIcJrLybs1q1fwb2OLJqoqozpau98GP5jtLV1AZYKyiFVejObrOz5bn2725509yychz6LQ2n47Lvm9eV3OZcmPmxJtLz549q0Fif841GPjjGFeEhJn+nSRErGyvr6x8I9j0kRh9wQSpba29swZvk07BUKj0VRUVNzd3QU9exbEtWvXPDw83N3dAQAMBuPYsWNLliwZncoxXti9xWbPnl1TU3Pjxg0NDY0h9CgTl87OzpMnT/r6+nJ2JGMymcePH7eysjIzMwMA9Pb2njz5r2i+3PTcE/cqvRYv13tzE8jqKt/tf70taGv1LmP1vtdRu04tW6n04Ia7IRpgSD6P+2e3lJeH7rowYxl4cMVZT+ivC5EoTSBQAgIChK+AQqGcOnVqwYIF1tbWwrfMzMxsamratm3beEhTZGcnzp8//6PMTuQlM/MSlcrfyUZkOFwu3nzxiudywWAAkR3nR57S0tI7d+4oKyuvWrVKLKMa0WA+S3yu6OohoW+Q8fK3DQKBDBdWe3vLmwf2rNbmLjCB+H6nD+br2N9/rJu9b3Htwc9SXzMBQMmoqcmorf2LwnZNZOXR8tdZCvsyZZSkPmq1t3d98+yVRaczOStRGHQ6UpnC6O/t6n3n38FgMllASMaD1BR7/aa8stfITKzevIcvVKda6oryBcXqSvvisw2PnKLu7n8rxgAAtJqMlNgHrW9XxqLR6ICAxwsch4w3hnFJQAZBU1NTRkAKpZmZGRaLlZeXj4mJ+eeff+7evdvU1CTKnFy2iqNp48EFr4miKNaLIwW7kIxKfeeBwGXsISsra25uzRIlBYxWHX25zyvQgl1n1pd2/2yH1d495vryWGl1vTX7XXTuZce/fDsXGqdqYbX3iJvyrftxNYMcgMnEDWp6yWKxLl26ZGZmJooYGyc1Yx+xY4dwcDgpCmXwJGrhDNPlgkKhi9uXeUR48eLFyZMnHz586Ovru2LFCmFijN5waOpmgltatdhvFdpiz6cXlopZfT5Qtctws9SCh52D/b7Dv20QyMcCqzc37GhhA4Xe/Sz1aMwroxlTOZ+O0ivjQj5/ufzkFwf/3reo+LeQE3V0gHMPnCZ1/eyPt+p7BmgdFfe+8lwScJZPjyaOY5CLnjRomOspvPlGknKbP5UeH/FrelMvndZWlHTk/CtzH0c9dF/SZn+d6UevP+umMWhNj678cK6BNE/I01q08Qo/j7Loveeed/T3VSeEHkqbGBJiLcK3Oqsr6WhI7MRf47bNVOWcHUvOigxe/nPYo/Z+OqUuI3LviVe2AR5GGEHjgx8JMroM+ZKACAGPx8+ZMyckJGTZsmVYLJbrPtXY2Li+vt7Hx2fOnDk7duzw8/NjMBgiCjNOW0XExsPbW2jis2QQZKIobo+y4cC3Ixnb2AP50c3NfWBgcEFGL3l6u1V/huu7655FZzKYLI5HYEw6YDEHBrq7qHSOQeHPvxD6+9GD3jqnpKRgsdhZs2YJ32yciLH/rBJDUFBQ6e0drh7DGDts8Kj/a292ccdAT3XRgUNPjULcRHe56O6mCk8RHHEaGxsvXLhw8+ZNd3f34OBgPT09YVsTbC9SwlisMGrmLP7JOiMOzuj36uMsVhi9OsBVaGQN6jEI5GMBo+85DxvrY+ipavtHseOOM7tN3z367K/4Zc2Jtg1ff+0sjSLa/RA27/X+b355MqAw9/P4I4ZZ24PUZT0mevxTODn4u6Uawr4VmJ2NzawJyu+KfbWDvr76lcrNdcuVpT0M5kZ2B3x/abcxFsjM+/3Xw1Mq93rOl5eaZrz4GjPox4tfGApRPWhd3zMXF9H+2qqjNG/6Nw3eZw7vtn7/yW3nDV+ZGWtvcHWgomddulvXcGf1RAfOLtX1LDTpy8PRqxknFi0iSs+0/uQOcesvFz/TxwBB45Bxh6BLgtV63Udm9voUnhtqflcI7daPGpipKGzg/sf993bMx6CmEtyjXjAFT/IxY2JismXLFicnJzQaraOjExgYSCAQlJWVtbW1DQ0NDQ0NX716NW3aNCsrK2R7LS2tWbNmiSLMuIJjKSkpTk5OiooimQeOFKL0Fhu1QBnfjmRz5szJy8tD3MBlZWXl5DDd3YJ7gAAAAKurqO6lhqapwjtRIeNmNZ1e+MuvFXW9TGrbq8gjD5+bW7k8jTbT+f2r603tNCa1qSbsh+waktUcvUGkCJmMEy6fCgoKqqqq/P39haua8SDG/uNKDEFRUUuUotY30Mo2aGxCoTZb7q/tuxerh9mIIvzy5wsW4nIRTLvtpbNTd3pCjfdblwuRwLS0tCsrKw9t/eLS0dERFxcXHR1tYWGxefNmJBn4wwXWj0EgHw+yUz/dVbDrvSG1kL/JIQAAYJN1a+/bQTm3T4veuK7hJwfvvRO89719kC7SIfyOgNHbk5u5h3MEPcH98++yPufeEDWBtCXs2JYw0RePVp+x7soTwfWvinMP7Us9Ic31Nxbnc+YOg295DE5rwQ+/LfhB5HHIuIP/JYFS8b3Z58tnc35XCN5rXyODu1wbAAAETfJxIicnN3fuXAsLC85BY2Pjzz77rLS0tLGxkcFgqKur+/n5ycrysYHQ0tJCtFl9fX1ZWVlMTAwGg7G0tLSwsEBqzDiDY1VVVU1NTX5+frzzSA52tRiX3TwvSKDs2bNnly9ftrS0lFBFGdKR7OTJkzo6OuxCMnl5eVdX1+Tk5BUrVgAAlJRkOzoYQg3KWa2NPawJk5Q4npGhtZ1PX+3dteeczfftZDzRYrrzhUtezvq0q4fj9u39VS+ATCMQLWa4RF/0Epp4DgAAbW0sLt8RTurq6tLS0oKDg4W/n2Muxj56F3vhMJnMhoaGmpqampqauro6JpNBo7HweBHeBIFGFAJcLkSgo4OIx3cJyoUeQeh0elpaWklJiZOTk6+vr6R7zY8OH8M5QCCQ/wD0msT78q4b4XcWRADwCuEDCoWyt7efMWOGlJQU76sEAsHW1lb02fgKM0NDw4qKih07dgAAGAzGzZs3vb29R+0OaWi9xXh7lI34wvh2JHNyciooKCgvLzczM1NTU25oaNPTE5IKhjbds7d3D9cgStV9dkTW7PcHsY5bVqVtWSXWChsbqXp6/N+x7u7uixcv+vn5CRFsYKzF2H9WiXFpMEVFRX19/alTp/r7+8fGhtXV0YzGqIPLy5dYfX39UTgQi8XS1dWdNm2atLTgNjofGvAvFwQCGTvoZeFTcRGuv12+t0t7kOxprOGe5O8lsYaBrN9Np0W9YKANdkpieoh4iHFJcDGkK+Rj//R1dHR0dHRGfFpOYRYfH89isU6ePGlpaUmlUkfTxkP0sBgdjztQAAAgAElEQVQvoxAoMzc3r6mpiY+PDwwMREYQY49r16719fV1dfWRyTQnp0F96SUE5uXLZg8PPjV+AwMD0dHRrq6uRkZGQvYfQzH2H1RiQjQY56MWQ8NJ5eVlY6XHysvJZmZWo3AgHA7HFe3/CIB6DAL5GBCcYTiOISw5TBG1y6QEwbnuqqbvGnw7iOQZ/UsCfvrDQ0pKqre397PPPmtraysoKMjPz1dUVLx79y47lVFCDC0sxoukA2VeXl6nT5/Ozc11cHDo7+9/9uxZWVkZmUzOzs52dHRMS0tiMFiidCEbcZqblZjMLr6lPteuXdPQ0HBycuJ9ic1YibH/lBITUYNxQiI5nzpVMHcuQI+6O0R/v0JNzYvFiwNH+8AfC1CPQSAQCAQCGQrsyjEtLa3MzExPT89JkybxrTEbQYYTFuNFooEyDAazcOHC8PDw0tLS5uZmfX19KysrLy+v8PBwQ0NDLa0JlZVUMzP+99YSpaSEyTZu4eTevXvd3d1r1qwRsu+YiLH/iBIbggbjZMIEJVVVxdJSipXVaCfyPX4sbWxsPPzfx/8sUI9BIBAIBAIRG8RWce7cuYDDxgOLxQo3/xgOIxUW42XEA2XsaFhtba2qqmpra+uWLVvYAgYx9rC2ts/Luzv6eozBkH3y5OXKlSu5xsvLy/Pz8zds2CCkpe/oi7GPXokNU4Nx4eY2My3t2ijrMTpd/uHD54hRzbjl9etxkI8DAADg9WsyjcblFQ31GAQCgUAgEPFhB8f42ngM6sooLiMbFuNlRAJlnDIMiYb5+/vj8fikpKSkpCR2IRli7IHHyzc3g6amAXX1kfd4FEJRkYKaGovrU2hubk5MTFy5ciVfj02EURZjH7ESG1kNxsmkSeZ37qQWF49qiOzhQzltbW0NDY1RO+IQ2LLl5lgv4Q2NjY0zZ87kGoR6DAKBQCAQiHhwBseys7OF2HgMX5hJLizGy9ACZYJkGHsDzkIy8NbYIz4+3snJKS0tZ+XKCZI6Hx4GBogZGc+5GhL09fXFxMR4e3uz3fl5GU0x9lEqMclpMC7mzfOLiTlnbEyQkhqNMrLOTo0HD55u2LBhFI41ZPLy8sZ6CYMA9RgEAoFAIBDxYAfHurq6Hjx4IMrd2NCEmaTDYryIHigbVIax4e1Ipq+vr62t3d/P7OzEPnvWb2o6SlmL9+5J6erqcupMBoNx6dIlEolEIpEE7TVqYuwjU2KjpsE40daeaGlplZDwLCBAQUKHYMNkysTFtbi5uY1y//ePD6jHIJAPHVZ/L4g/1DjWy/h46COjyWS1sV4FBDJ+4QyOpaSkODk5iXU3JqIwG82wGC9CAmWiyzBOeDuSzZkzJzQ01Nt7zs2bNyZOxMvKSjya8eqVbkFBycaNGzkHk5OTCQTC9OnTBe01OmLso1FiY6LBuJg9e97p07WZmb1ubhJtqIBNSpKSkkK7uLhI8ij/CaAeg0A+bFAo1s6dDzFyApNMIEPAZ1bhWC/hPwS9t7fpOb3pKXmsF/KG2mpp4DbWixjfsINjbBuPoc0jRJiRyeRRDovxwhUoc3Fxqa6uFleGccLVkUxeXt7V1bW4uMTGxvby5cJVqxQk6n3f16d2+XK5r68vp6zKy8urra1dt26dIP0zCmLsI1Bi40GDcYLBYJYtCzp9OkxenmJjI6FCMsz9+2q1tXXr1q2TzPz/LaAeg0A+eGbOrFbS7hzrVUAgQ6Sn+Hqj5hfRh+hjvZA3vK5T1NXtGutVjF/YwTG+Nh5Dg1OYFRcXh4eH0+l0S0tLe3v7MXfQ1tPT8/DwuHfvXk5Ojq6uLnKTLZYM44SrkAwx9pgyZUpzc/PVq41LlkgqwYxGU4yKapk6daqJiQl7sKam5t69e2vWrBH0JktajH3QSmy8aTAuiETiypWfXLhwlslETZky4uvBp6crFxVVC7l4IGIB9RgEAoFAxhI5WlZ29qmxXgVEVNjBsczMTCE2HkODQqE8ffrUysqKRCI9f/5con3MhMOVlOjl5YVCoVJSUl6/fm1qajrkabkKydjGHuvXr4+MPHfpUqe/v+KIN/OlUFQuXGjR1tZxc3sX+e3s7Lxy5Yqfn5+SkhLfvSQqxj5QJTbONRgXampqa9aEXLhwrrmZMnu29EhdVzTahPj4gc7OxpCQEBkZmZGZ9D8P1GMQCAQCgUBEgh0cE93GQ0R4q8X09fUl1MdMCMJrwwwNDYffo4yrkAwx9sjJyVmzJuTEiWPnznUuW0aUlh4xTdbcrB0T85xEspoxYwZ7kEajRUdHu7u7GxgY8N1LcmKMrcQ8PDwsLCzGvxL7sDQYF0pKSuvXb4qPv3rqVOPChYRhd1ZA19RoX79eaWhouHhx4PAD4xA28K2EQCAQCAQiEuzg2P/bu++4ps79D+DPyQ6EHYYMg7GILAEFEVS01sGw7tZVt1VvrbXqvVZ/2vbaVqsdjlpvxTpq6x5YF7WKC0WtgyouUAEBGSJERgghJDm/P6IWIUCAhET8vF/8IScneR7gEM+H7znfR9OrXV9N1eppoqj3dcy00rFFh17WKCO1biTTNPbw9/cfP37y2rU/xMSUDBokEIubuygZTfOuXhWePXunb9++AQEB1R86cOCAq6ur5prJ2gwUxl6hJPZKZ7Aa+Hz+qFFjkpKStm076elpHh5OWVrWud533agnT5zOnCnLyUmNjIxsTokYtEIeAwAAgIa9KI41s41Hdbo3UTREMGtap8SmrVFWQ/UbyTSNPY4dOzZmzJjg4K5FRUWHD+c5O9N9+zJtbJpw6kwIYT186HDiRC6L9XjixIlCobD6Y6dPn5bJZCNGjND6TEOEsVciibWmDFZb586dvby8zp8/HxOTJBZbBQQwxGKiy89BqRTcv2+RlCTJz78XEhKCspiB4HsKAAAADdMUx1gslr7aeDRtbbHmB7OmxbDqml8oq3EjmaaxR0pKSlhY2Lp166ZNm5acnLxx46V27SyCghgika4RRqm0SEkxv3y5oLw8o3fv3n5+fjV2uHPnzo0bN6ZNm8Zkakl6eg9jJp7EWncGq4HP5/fr169nz57Jyclnztzcu7fA3d3OzY3n4ECsrZUWFoTNrqJprkLBlEq5Egnz8WP60SNpVlamq6urn5//yJG+SGKGg+8sAAAANOBFcezixYvNb+Ohl7XFGhvMmh/DamhmoazGjWSaxh4ffPBBYGDgpUuXIiIiNCHt+PEbZWXFb7xhJxKx2rRR2dlVsVjVUw0ll5sXFnJychgZGdLMzCxXV9eQkFCt4Sc/P//o0aPjx4/X2oZBv2HMZJNYXRls2LBhfL6BWsObEB6P17Vr165du0qlUs13ICOj6OnT8oqKCoVCQVEUh8Ph8/lCodDOzi4oyG/4cFHri6YmCHkMAAAAGqApjsnl8ua38WhaWawedQUzHx8fBwcHvcew6ppZKKt+I5mmscf58+c1JbIePXoIBIKQkJCQkBCJRJKWlvbgQWZi4uPi4mIWi8nn8xgMhlKpkkrLWSyWnZ1dmzZtfHwCBw0aUVfLO5lMtmvXroEDB2oNq3oMYyaYxF7zDKaVQCDw9fX19fU19kSAEOQxAAAAqN+L4lgz23jopSxWj+rBLDk5eevWrUqlUq1Wu7m5de7cWY8xrIbmFMqq30j2orFHYGDg+fPnIyIiNPvY2tra2toGBwcTQmialsvlcrmcpmkmk8nj8XTJtCqVavfu3QEBAV5eXrUf1VcYM6kkhgwGrxDkMQAAAKiPpjj26NGj5rTx0HtZTKsa1TBnZ2eZTJaSknL27NknT55oKmaGGLfJhbIaN5JpGnsMHjz4RYmsxv4URfH5/MYmiqNHj5qbm/fu3bv2Q3oJYyaSxJDB4BWFPAYAAAB10hTHNGWcprXxMHRZjDR0b9iAAQM0lzLu3LmTxWJ5e3sbKJg1rVBW/UYyzT1j2dnZNUpkzfHXX3/l5ORMnTq19kPND2NGT2LIYNAKII8BAABAnTTFsaSkpKa18TBoWUz3e8Nq3GNmuGDWtEJZ9RvJNI09JkyYsGHDhmolMmVR0YOCgkcSSWFZmayqSllZqeLx2BwO19LSRihs4+TUQSDQkqkyMjLOnz8/ZcqU2tNoZhgzYhJDBoNWBnkMAAAAtNMUx7p3775ly5bGtvEwXFmsOS06WiaYNaFQVv1GMhcXl7///jswMPDy5TOurpybN1MyMkqYTMrFhW1ry7K0ZPB4FItFVVVVyuWlEkn+/fu38vLizMw47du39fMLdXV117ymRCKJjY0dMWJE7Vv+mhPGjJLEkMGgFUMeAwAAAO00xbHTp083to2HIcpi+u2UaOhg1thCWfUbyQYMGLBv3waRyPLatfzMTJavL79vX6GVVX1rQ9M0KSioSk3N+/337QwGr3v3nh06+O3atat3794ikajGzk0OYy2cxJDB4DWBPAYAAABaaIpjHTt2vH79uu5tPPReFjNow3pi4GDWqEKZ5kayI0f2+vvbPnkis7VVTZxoZ2+v06kaRRFHR7ajIzs8XJCeXpmQcCo+Pt7VtV2XLl1q7Nm0MNZiSQwZDF5DyGMAAACgRUJCQnBw8IkTJ3Rv46HHspihY1htBgpmjSqUOTvTFFV+61b5pEm6JrHaxGKuWMy9f7/y6NGMgwf3REUNfTFiE8JYCyQxZDB4zSGPAQAAQE2a4lhQUJCObTz0VRZr+RhWmyGCmS6FsoyMY3v3XunZUxAaat68r4AQQjw8uDNncuLisjZsWDdmzAQbG5vGhjGDJjFkMIAXkMcAAACgpoSEBH9//8uXL+vSxqP5ZbHKysqUlBTjxrDa9BvM6i+U3bmzPy7uzsiRNiKR3r5qNpsaPNjyyhXZli0/e3n5paWl6RjGDJTEkMEAtEIeA3i10TQ1cOAYlo1Oq9yALlRVNK1SX7iwydgTeV2Yh38ZFDTNzNLY83hOVkpiYo506ZJr7IkYk6Y45urq2mAbj2aWxSorK1NTU2/fvm1SMaw2PQYzrYWy1NRDcXF3xo+3c3DQ/4lZcLCZmRl18ODVceMmNhjG9J7EkMEAGoQ8BvCqo5hMsvR3Y8+iFamUKj8bwTD2LF4jCmLj14NM/sLY83hu1+eFT56YGXsWRpaQkODh4ZGVlTVixIh6dmtyWexViWG16SWY1SiU+fqaHTx4Y+xYW0OEMQ0fH75SScXG7ps+/V88Hk/rPnpMYshgAI2CPAbwymPziOnUFloBFoPmcFTGnsXrhS8woWPY3Px1/+lrimMcDicyMrKuNh5NK4u9ujGstuYHM02h7Ny5g7GxV6OjrVxcGl42ujn8/XkFBfLff48dNWpMjYf0ksSQwQCaDHkMAAAA/pGQkODk5MRisepq49HYslhrimG1NSeY8fm8qqpCkYjj46O9ZqVfffpwN23Kv3Hjhr+/v2ZLM5MYMhiAXiCPAQAAtAD109h3l3/NH/XHr4FCis7bFhO1mPPlxUkD2xh2Sd1Gkkgk9+/fp2laaxuPRpXFWncMq60JwSw//1JKytOZM+1bZoZMJjVwIG/HjuOenp45OTlNS2LIYAB6hzwGAADQAhg2Q9e/dzFs5+f726/pdmfxgvyoX+ZHm1YYI4QkJCSYm5v7+vrWbuOhY1nsdYthtekczNSnTiX27Cng8VruhlVnZ5ZIxP3pp594PJ7uSQwZDMCgkMcAAABaBCX0+3zz/aHjtnwozs+dPH1tXzMTS2MSiSQ1NZXP54eFhVXfrktZDDGstvqDWUHB3/n58pEjW6g49kKfPqyffy7/4IMP6r/WFBkMoMUgjwEAALQUQfc+kzp+Nj+xw/fbRWaEEFXemq5frkh61kKEM2Dc1T96mN84O2/SkWN3FLbB3T7/beTb7TTVE7osfteA0fIljyb107WTYWlpqVqtrr9hfXVnz55lMBg12njUXxZDDNOF1mDm7FzVuTOfyWzpUG5nxxKJrO/evRsQEFDjIWQwAKNAHgMAAGghdP7uvWuyg2YPffD9x1d77Qh2YraZfe1/swkhRJX6/fqVVl62lPzIsuOVH86/Pc78wYp1M9emR6x8g00IkWduWP/E2cWqMcMVFxdv27atV69eoaGhDEYDF8VJJJKUlBSRSPSijUc9ZTHEsKapFszSd+zYPmWK0CjT8PdnXrt2U5PHkMEAjA55DAAAoEUo7yfMm/d4yL7//Nsnsyz053kbRFtnPFtxSnX/7LKz3v89YMcgVbYOPKKmaYpiMJhCJwGDEELU9/53smRC38BlVxo5ZlVVVXx8/M2bNwcOHOjq6lrPnvHx8TRNR0VFaT7VWhZDDNMXpbJAIGDa2DCNMrqHB33gQGZCQkJ2djYyGIDRYc1TgNaMLtg4S9Ap5oay+c+qOjalL5MKoqp98Pruz1OXXlq7pGf7PnxOqJXbe8M+T8x+eSy69MqsDiH84cfLaw1TuW8BnwqiqNAeK3PURJ1zbP1g/wgBN8zO41+zdmbKdZys8vGxLxZ2E/fhc0Kt2o4fuexKvpoQQpR//eDJrjZbRq9xhxRat49d8Z2YFURRXcVzb1Q16vsE+qafQ6ImWnJ2XYhVWK8fNIfGS6oSV7bcT1+e/dPEw0+njZsTyqUsO3wS0y1/8S8/Xa8ihBBadmJZkseCHu2YhBB26Ny3yBf/9eDMGbTN8V8THZmEqDMv/nQ/YNYAs6b+p/348ePNmzfHxcXJ5c++j3K5fOfOnUuXLl2yZMmSJUu++eab1NTUkJAQa2vrysrKw4cPHzlyZNCgQQMHDuRyuZWVlcnJyTt37ly9evXdu3f9/PzmzJkzcuRIX19fhLGmycx8IBbX+a1THPvVnjmdoqp98Fatz6MJoSWXTk/quciO/wHXakGXYYfjsqsd1rT81KxP2fz1u2q/376MzaYEAmZubm5QUNDs2bNnzJgRERHh6emJMAZgFKiPAbRmlMPUtdKpenkpdsSmeNWm55+pHv0vcvrvQ7rxjq4c9tmj92N3/dnTWvp37JRBi9533RP3vsPzs8aKC1+tOii1qOskkuU9+eqND7qwiDptz/gxx9qsXJs1yqXszMZ3xsz/QvzbspAGT/TUOb+tGLeZ+dmOXfFBliWJW0cNWzhLvG/PKGt1WXm504iTaQv6vPwa2rd/8tGRCZGzG/stAQNo9iFRA118YfP0tUVODlSxtofZ3eemKz9soZ8+z21W4neznn9m3mP4ycJn/1bnXtvx0O/zEDYhhKglO2adc964LP0tft6ubdP+cz1kyxvnvkvvtvA9e0ZmM4anafrKlSt3796NjIx0c3P78ccfFQrFi0crKioIIWlpaW5ubnFxcZqyGCEkOTkZ1TBDyMkp9POr8zvJiRj/RDX++WfqtP/98ObvAf0dKFKaPHfYobT3Z9z400MozdowZd2Y961vxfV0ZRBCSPmFo/MOVlrrFtp9fV1YrDaenp7N/lIAoLlQHwOARlPn7vxheenw795vk38rvcSr17heDmYsjkNw9LvByjvJ2arn+8mvbp192HveeOeGLslR39156HLg2OXjPWx5ZqKIqYsHPv11y/XKhmfCcJm08snDb2eFOQg4PJc3x04Ll/+VmKYkhJaWl5ubCWq9xdW1HUxMkw+Jl1Xd3nWy/be/vdfV0sQaGb6ELj11uyDUU6T5PVHLCvI1OYliEFpaWF6Rm7T158Q5ohnO7K/XXrowyX1bgqK+l6uXVCrdu3dvjTD2QkFBwf79+yMjI9u2bRsbG4tqmOFIJBVCoU4XK6pzr8xfLp/+XU8xk6hycm6XOA0e18HVjMFzcB//rnvVnZwHmrdceeaK2clB87q563YJpL09o6ioqOlfAADoD05KAFoDOm/9BxahMbtWLezkEMYx7+//zraLxfQ/Vx4qHm8fESUad6qAJoSoH22b7+z+6b48NaHLr29a3s8vysasu437xPdW3iiidRit9K8ln90ftGxUJzajfb+wDvdObT6VX65UPEn6Y//ftv0jOzyruyserPromOeXM/o13Nut4kZSllPnjo7P3pF4/kHuxddTMlXVdik+Osisz6Sj9Z6Hqp48yiXOrkIGIRWlMqW5QFDrJLyu7WBidDgkatB6hLB9Z3za293UIwSdnVpoL7Z7dhrNcnnvS597Hy7x5M+NXq4c92mQg2uvPfL1uXRMbtXCWd3Ctjx8L7y5X5HWMEYIUalUSqXywIEDiGGGJpFU2drqco2S/MSSQ8mDhszuxCSEMNt7R3Z4vH9zSla5uvJJ1vb92Q79fQNYhBDlzVW7dngO/qKfrmsoWFmpkccATASuVwRoFZgspvLOkW0liw8+WGKXf3pW5JJJywNvLvd+9jDDccz6/zsbtmLOfv+t3f76aEHG8F82DW9DFR/9ftCce0O2/Lg72llxPXbqsP/8y3nX7lE29Q6lvr9xU2z7sVd7mxFCOEFTdq7IiH777a/lNMW0Dlu4YnOkBUUIIaqUdd/E2E8+N8y2/JuGZq8uK5LQ1sEvqlYMa1sBkRRL1IS8+EuvdfQhWXS9r6K489PKNYX9Yia3ZRJ1WWm5qujiwt6Hzl19rLAWvTlh2uolfdpz69re0AyhhelySNTQ8BGiR0VFSoWi4T9eMG0d8x8X8MplDewnnDnlGyLNz5M++zwwdHVC6PMHn+bnvdiROzG2P5Hk5dV8gbrn2egTbh6P5+np2a5dO5qmU1NTG/t00AVFqWiaZrMbjk6q++e/irWfe9VToPmcI1q8c/jd6HXuX1fRFEMYFrF3s481RZQpZ2bFWCw6F+hQ/qeOczAzo6uqcMssgElAHgNoNbjB//okpB2fEMu+s0dv6nHy2kOV94ve2JSwx/ebk8LHfT5W/DB78orf+lpSpPLc7jNlUYuWDhdbEEK6vbv4vX0Ddv9VPDKivlEUtzbEZPX/eoCIQQihS07+MPyzkvGHD84Nt5PdPDZ31MKxbluOTnOh0w/MXsWcd3KgG4Ok6DZ9mq75b0r3KhZdeunbRe/+yPi/Q/MH21OE0Axn7+juVNSskds7W5ZcPfzR6M+Gsp2ufdmxju1v6DwStJxmHRKGlZhYnp/f8LmsefBbx0/GUwzj9NAjddfB6lFRUZGcnHzr1i1DzAc0OBxKt2XHlJc3JNzvP3S06NnOdEnK/OGHisbPTJ/r4SjL2TF346ixthcOef05O545b+54N0rX91tCOByqCYcHABgC8hhAa8GwF7Zha/5J2dlbkRJpKU2qr1Vk0X30zI7Dpyd23rjd25wQQlc8KZQX//GJ5e5/9mF3zstVE/u6R1Fc/HNfcbfV/S0IIYTI438+/HTgigV9nbmEWHR5e/Hk/UG/ns2c/NaZOVtlH66e4cEgpHZPu9pTt7S3o54Wlj4vfqglT0qI0MZOxwuqVQWHZn/8/pmOq08tGP2G5rIqhsuw2XuHPXtcEDZi6YwjnfdcSP2vt6/27chjJqaZh4TBDRqk0zJgH3f8ZuGXmXzLRq0Zpk9ZWVlbtmxp1FPc3NxCQkK8vb0b3hWaSqGQf/99gxcOEKJI37lP1n+194trvmXx53556rd3gZc7lxAL0cTFYeuDLm5dnbxV9uaRGQ5MQuq5orcGtZrZ4JJ0ANAy8KsI0FrQEsmTZ73m6cKCEmJj+XKbLXXO7pVLs/stGpq15OMTOWpCKDMHBzOHSWsq6Kv08w/Ftck+9f0tX3XrxJXC4ODu5s8GUirVavU/iUulVBK1Wl2ZHHc87/wnIzlUEEV19Vp4pyz2/wS8OVuf1nWBFy8w2P3x1Ts5mleiy69eyrAP8mmryxsUXRL/74+nXem24/Ti52GMEKJ4ePbP3RcKn8+MViiUhMvh1LkdTE0zDglogIWFBZvN1vqQWCx+/PhxjaWfQe84HJ4u17sqb909Wejep/s/71C0Uq1S09XectVKos44dTfzfKwfZzpFTWd5HbhS9vdowcy3t8rqH0ChYOK2QAATgf/bAFoLuvxyzA838iqUpaknftj1qH2fIFG1X3Dl/dip8zJH//zvJWsXDbn5/dQN2UrC7vluL96hX5Yezy2rUjy9l/BJ7xHv/KJljaZqY0iTr+c5eYmsnl08w+sxMEh58LfvzjwuVyqKkv9Y8esjr6gQkXm/vRUvMt7lu197WwxbJpWvmmBT1wU6DI8xw8Lv7Fy49cFTuSz98Ppl8a5Tp3bS4VSBLvnjh6m7Xb+L/fAt++pvZyxp4vYpo7+JuSKRKyuyz25fuOFR53fC2zPr2t7wSNCymnxIQD0oiuratevMmTOHDh3KYtW8QMbFxaW8vDw8PJzH4xlleq8VLpchk9V/9QBdkpyd6dTG0+qfN06zHn5vKm98+9297HJ1ZdGj7SsuPfDq9O/DP9J0jOZDeXdosEXgTum6wxMaaOxRWsoSCAR6+VoAoJmQxwBaC6Z772jW7ihxb/vOq26GzN4y3/Of0y35vW8nbiia9umnoXzKsstXMdE5iz//9nqVVeS8gyvEibPGO5qHu4b/eCNgyhcjnep7V1AX5xfQNnZWL7osuIz/9MAnwrjJo+344e0it5e+8+Xe+R5NuA6a0XbQlj1DFGtmutlGv/l5XsSW5fM7vfwy2vsrKhP3ns7OOzXOtWv1VapzaYbvf5bvHKfaMGSIJf+tThNOWc78ds/H7kxS13YwOXUdEnThoSizfu//WevmLW1HiOL4UidmEMV6d3GSPGH2QCYVxO25I0Nd94u0Zo6OjlOmTImMjORyuV5eXhEREWw2WygUOjg4tG3b1tPTs7i42MPDIywszNgzfS04OJgXFSnr3YUuzC+jbcxtq70nM1xCNx0Y0CZuq7/dTIt2a1eWdtm2t3+nJt168vQpsbGpv3kTALQQ3D8G0HqYB3009++5L216sR60f+Lxhc83Cnp8lPxsIVpOwJSFp6YsfOk59awizRQtuHx+QfUtDJue875InFfPrBgdF/xa2vDkGY59Ju+/PrnOx60jly06sYFf4y++7Kgtp1Rab49hO7/91fdvf6XzdjA52g8JSjgoTjZIyx9HHiEAAAXtSURBVO7ajhBO/0X5qkVadq7rRVonFovVu3fv0NDQ6vcLdenSRSwWJyUl5eXlqVQqa2vrN99809HR0YjzfK3Y2Vnn55e6udVT82V4LlhYvqDGRsq+Z7/fEvvV9Rxmx4jLOrzfEkLy8xVOTm112hUADAx5DABeCcqHR85ZdJ+O9yyoA44Q7d54442oqCitlRAbG5u33nqr5acEhBCRSJyefjk42MxI41NZWZKQEJGRRgeAl+B6RQAwHuWdzUHs0B4rcxpuwsgSLzj25Uih/vudVyWuFLPC3v61TJelsMHQGnFI1NCkI6S1//RdXFzGjh2Ly9JMkLt7pwcPKmkjHXglJXYymczBwcE4wwPAy/CXRIDWoO4rDE0Yd8TyChM4C2Z3n5uunNvwfmB4LX9ItPafPpOJmyNNlLW1rY2NICOjUiw2wnr0t28zfHx8KJNZ0A/gNYf6GAAAAEBL69QpIClJZoyRuUlJ2X5+fsYYGgC0QB4DAAAAaGkBAWEZGcriYt3XcNaPlBQhl8tr2xbNPABMBfIYAAAAQEvjcrldugScOSNtyUFp2uzUqYfh4eEtOSgA1A95DAAAAMAIunfvm56uevSo5VbCu3rV1txc4Onp2WIjAkCDkMcAAAAAjIDL5Q4YEPX776VVVS3RyUYicT59+lZ0dHQLjAUAukN/RYBXHS0vJ4lbc409jdZDJmVIpU7GngUAvBZ8fDo9eJBy5EjW0KGWBh2oqsp6z57sPn36CIVCgw4EAI2FPAZgQgR8ueTuzW1eAt2fIispHzHrPlVqZ7hZvW7MaGrmzCxjz+JVJRSUPTiwI/fUQd2fQvsslUvVlaUtd8lW/WTl6BEPLSoqaujWrRvPni3v1cvcQEPQtPn+/QpHR6egoCADDQEATYY8BmBCHNyFa+6tUasasRQug8ngCdIISTPcrAB016mf76qUVaQx115du95uzjzG4iEGm1MjlZYKJ441ShdyeE2x2ewxYyZs3BhDUbLwcDO9v75KZREbSxPCHDx4sN5fHACaD3kMwLTwBDxjTwGgWcwsG3dC2bNX/tWrGww0GYBXgpmZ2eTJ72/fvrW0VBYVZcbQ3939Mpn97t0SCwurd94ZytDj6wKA/uA3EwAAAMDIBALBxIlTy8sdN20qKypS6uMlGWlpbWNiHrq7i4cPH85k4kJcABOF+hgAAACA8XG53JEjR1++fHnTplNBQZY9ejA5HKppL1VS4hgfX5GdnTJ48GCxWKzfeQKAfiGPAQAAAJiKrl27ent7nzhxYs2ae1262AQFqS0tdb+aiZWbK7xypSI1NTU4OHjw4BEsFs70AEwdfksBAAAATIhAIBg6dOjTp08vXLgQE3NbKDT38DAXiVRt2ihZrNoVM6qiwjwnx+zhw6rU1AKV6mFgYOBHHw3m8XA3MsCrAXkMAAAAwOTY2NhER0dHRESkp6enpaUdPfqwsLBQIDATCPhcLovL5VRWVkmllVKpTKksdHZ2FolEQ4aEubi4GHviANA4yGMAAAAAJorJZHp4eHh4eBBCaJouKSmRSqUKhaKyspLL5fJ4PCsrK3NzQy1cBgAtAHkMAAAA4BVAUZS1tbW1tbWxJwIA+oR+9wAAAAAAAMaBPAYAAAAAAGAcyGMAAAAAAADGgTwGAAAAAABgHMhjAAAAAAAAxoE8BgAAAAAAYBzIYwAAAAAAAMaBPAYAAAAAAGAcyGMAAAAAAADGgTwGAAAAAABgHMhjAAAAAAAAxoE8BgAAAAAAYBzIYwAAAAAAAMaBPAYAAAAAAGAcyGMAAAAAAADGgTwGAAAAAABgHMhjAAAAAAAAxoE8BgAAAAAAYBzIYwAAAAAAAMaBPAYAAAAAAGAcLGNPAF45Zg8uP9g2/6SxpwEAYOoqSksoijL2LAAAwKRRNE0bew7wKpFLy64c3EVw2AAANITDNwsZ/p6xZwEAACYNeQwAAAAAAMA4cP8YAAAAAACAcSCPAQAAAAAAGAfyGAAAAAAAgHEgjwEAAAAAABgH8hgAAAAAAIBx/D/HbIccrsWhswAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"./images/archiReseau.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Prérequis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Installation des paquets Python :\n", "Dans une console de commande (\"*fenêtre prompt Anaconda*\" pour Windows, ou \"*terminal*\" pour Mac OS X ou GNU/Linux), taper la commande :\n", "\n", " conda install keras\n", " \n", "Importer le module `keras`et vérifier sa version (doit être 2.x.y) : " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] }, { "data": { "text/plain": [ "'2.2.4'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import keras\n", "keras.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La documentation Keras est disponible sur https://keras.io." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Lecture des images avec openCV**
\n", "Si le module `openCV` n'est pas installé, il faut taper dans la \"fenêtre prompt anaconda\" (Windows) ou dans le \"terminal\" (Mac Os X ou GNU/Linux) :\n", "\n", " conda install -c anaconda openCV\n", " \n", "Tester en important le module `cv2`... " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'3.4.2'" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import cv2\n", "cv2.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Travail à faire" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1/ Récupération du jeu de données MNIST :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "https://fr.wikipedia.org/wiki/Base_de_données_MNIST : La base de données MNIST (*Mixed National Institute of Standards and Technology*), est une base de données de chiffres écrits à la main. C'est un jeu de données très utilisé en apprentissage automatique.

\n", "L'ensemble des images du jeu de données MNIST contient **60000 images d'apprentissage** et **10000 images de test**, soit en tout **70000 images** de 28 x 28 pixels." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Load data from https://www.openml.org/d/554\n", "from keras.datasets import mnist\n", "(image_train, etiq_train), (image_test, etiq_test) = mnist.load_data() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Faire afficher le type des objets `image_train`, `etiq_train`, `image_test` et `etiq_test` :" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n", "\n" ] } ], "source": [ "objs = (image_train, etiq_train, image_test, etiq_test)\n", "for o in objs: print(type(o))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Faire afficher l'attribut `shape` des tableaux `image_train`, `etiq_train`, `image_test` et `etiq_test` -> interpréter les réponses :" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(60000, 28, 28)\n", "(60000,)\n", "(10000, 28, 28)\n", "(10000,)\n" ] } ], "source": [ "for o in objs: print(o.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Faire afficher le type des tableaux `image_train`, `etiq_train`, `image_test` et `etiq_test` -> interpréter les réponses :" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "uint8\n", "uint8\n", "uint8\n", "uint8\n" ] } ], "source": [ "for o in objs: print(o.dtype)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.1/ Vérification des étiquettes des données : " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Faire afficher les 100 premières valeurs de `etiq_train` et `etiq_test` ; interpréter les réponses. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5 0 4 1 9 2 1 3 1 4 3 5 3 6 1 7 2 8 6 9 4 0 9 1 1 2 4 3 2 7 3 8 6 9 0 5 6\n", " 0 7 6 1 8 7 9 3 9 8 5 9 3 3 0 7 4 9 8 0 9 4 1 4 4 6 0 4 5 6 1 0 0 1 7 1 6\n", " 3 0 2 1 1 7 9 0 2 6 7 8 3 9 0 4 6 7 4 6 8 0 7 8 3 1]\n" ] } ], "source": [ "print(etiq_train[:100])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[7 2 1 0 4 1 4 9 5 9 0 6 9 0 1 5 9 7 3 4 9 6 6 5 4 0 7 4 0 1 3 1 3 4 7 2 7\n", " 1 2 1 1 7 4 2 3 5 1 2 4 4 6 3 5 5 6 0 4 1 9 5 7 8 9 3 7 4 6 4 3 0 7 0 2 9\n", " 1 7 3 2 9 7 7 6 2 7 8 4 7 3 6 1 3 6 9 3 1 4 1 7 6 9]\n" ] } ], "source": [ "print(etiq_test[:100])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2/ Visualisation des images :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Avec la fonction `imshow` du module matplotlib.pyplot faire afficher l'image de rang 600 dans le tableau `image_train`.
\n", "Indications :
\n", "- utiliser `plt.figure(figsize=(5,5))`;
\n", "- passer l'argument `cmap='binary'` à la fonction `imshow`;
\n", "- enlever les graduations en X et Y avec l'instruction `plt.xticks([]); plt.yticks([])`.
" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "import matplotlib.pyplot as plt\n", "plt.imshow(image_train[600],cmap='binary')\n", "plt.xticks([]) ; plt.yticks([]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vérifier que l'étiquette associée à `image_train[600]` est bien `9` :" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "etiq_train[600]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Écrire une fonction `plotImage` qui prend les arguments qui vont bien pour afficher les images MNIST commençant au rang `r` sur `L` lignes et `C` colonnes (utiliser `plt.subplot`). La figure affichée doit avoir pour dimensions 10 x 10 pouces." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def plot_image(r,L,C):\n", " plt.figure(figsize=(10,10))\n", " for i in range(L*C):\n", " plt.subplot(L, C, i+1)\n", " plt.imshow(image_train[r+i],cmap='binary')\n", " plt.xticks([])\n", " plt.yticks([])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fait afficher 100 images à partir de la 600 ème dans une grille de 10x10 : " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_image(600, 10, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2/ Pré-traitement des données" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour adapter les données au réseau de neurones, on doit transformer les matrice d'entiers `uint8` représentant les images 24 x 24 pixels en vecteurs **normalisés** $(V_i)_{i=0..783}$ de 784 valeurs réelles $V_i$ avec $ 0 \\leqslant V_i \\leqslant 1.$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transformation des matrices d'entrée en vecteurs normalisés :" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "nb_image_train, nb_image_test = image_train.shape[0], image_test.shape[0]\n", "nb_pixels = image_train.shape[1] * image_train.shape[2] # 28 x 28 = 784 pixels\n", "\n", "# mise 'à plat' des matrices sous forme de vecteurs de floats \n", "# Indications: utiliser les méthodes 'reshape(new_shape)' et astype('float32') de ndarray).\n", "x_train = image_train.reshape((nb_image_train, nb_pixels)).astype('float32')\n", "x_test = image_test.reshape((nb_image_test, nb_pixels)).astype('float32')\n", "\n", "# normalisation des tableaux X_train et X_test :\n", "x_train = x_train/255\n", "x_test = x_test/255" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vérifier la tailles des tableaux `x_train` et `x_test` :" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((60000, 784), (10000, 784))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_train.shape, x_test.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 'Hot coding' des réponses :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les étiquettes des images sont des valeurs entières comprises entre 0 et 9. Pour traiter efficacement le problème de classification, on utilise la technique de `hot encoding` qui remplace les valeurs des différentes classes par une suite de données binaires.
Pour cela on utilise la fonction `to_categorical` du module `keras.utils.np_utils` :" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from keras.utils.np_utils import to_categorical\n", "# 'hot encoding' des sorties :\n", "y_train = to_categorical(etiq_train)\n", "y_test = to_categorical(etiq_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Faire afficher les 10 premières valeurs de `etiq_train` et les 10 premières valeurs `hot encoded` de `y_train` :" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5, 0, 4, 1, 9, 2, 1, 3, 1, 4], dtype=uint8)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "etiq_train[:10]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0., 0., 0., 0., 0., 1., 0., 0., 0., 0.],\n", " [1., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 1., 0., 0., 0., 0., 0.],\n", " [0., 1., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 0., 0., 0., 0., 0., 1.],\n", " [0., 0., 1., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 1., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 0., 1., 0., 0., 0., 0., 0., 0.],\n", " [0., 1., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 1., 0., 0., 0., 0., 0.]], dtype=float32)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train[:10]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(y_train[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3/ Construction du réseau de neurones :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On va maintenant construire un réseau de neurone séquentiel (cf https://keras.io/models/sequential ) en quelques lignes à l'aide des modules **keras** et **tensorflow**. Les spécifications du réseau de neurones à construire sont :\n", "- les entrées sont constituées des données des 784 pixels mis sous forme de vecteur normalisé ;\n", "- le réseau de neurones comporte une couche de 784 neurones, avec pour chaque neurone la fonction d'activation `retified linear units` (cf https://keras.io/activations ) ;\n", "- la couche de sortie est constituée de 10 neurones utilisant la fonction d'activation `softmax` pour convertir les sorties en valeur de probalibilités permettant de choisir une des 10 classes ;\n", "- `Logarithmic loss` est utilisé comme fonction de perte (dans Keras elle est apellée `called categorical_crossentropy`) ;\n", "- l'algorithme de descente de gradient ADAM est utilisé pour l'optimisation des poids des neurones par rétro-progation de l'erreur. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"./images/archiReseau.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La **fonction d'erreur** (*loss function*) utilisée pour quantifier l'erreur entre la sortie du réseau et la sortie prévue est disponible dans keras sous le nom `categorical_crossentropy`:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 22, "metadata": { "image/png": { "width": 650 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"./images/CrossEntropy.png\", width=650)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:From /home/jlc/work/miniconda3/envs/minfo/lib/python3.6/site-packages/tensorflow/python/framework/op_def_library.py:263: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "Colocations handled automatically by placer.\n" ] } ], "source": [ "import numpy as np\n", "from keras.models import Sequential\n", "from keras.layers import Dense \n", "\n", "nb_classes = len(y_train[0])\n", "\n", "model = Sequential()\n", "model.add(Dense(nb_pixels, input_dim=nb_pixels, kernel_initializer='normal', activation='relu'))\n", "model.add(Dense(nb_classes, kernel_initializer='normal', activation='softmax'))\n", "model.compile(loss='categorical_crossentropy', optimizer='adam', metrics=['accuracy'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Avec la méthode `summary` de l'objet `model`, faire afficher la description du modèle : expliquer les valeurs des paramètres ?" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_1 (Dense) (None, 784) 615440 \n", "_________________________________________________________________\n", "dense_2 (Dense) (None, 10) 7850 \n", "=================================================================\n", "Total params: 623,290\n", "Trainable params: 623,290\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model.summary()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "615440" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "784*785" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4/ Entrainnement du réseau :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le modèle est entraîné 10 fois, avec mises à jour des poids toutes les 200 images, en utilisant les données d'entrée (images) `x_train` et les données de sortie (étiquettes) `y_train` :" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:From /home/jlc/work/miniconda3/envs/minfo/lib/python3.6/site-packages/tensorflow/python/ops/math_ops.py:3066: to_int32 (from tensorflow.python.ops.math_ops) is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "Use tf.cast instead.\n", "Train on 60000 samples, validate on 10000 samples\n", "Epoch 1/10\n", "60000/60000 [==============================] - 6s 93us/step - loss: 0.2787 - acc: 0.9204 - val_loss: 0.1425 - val_acc: 0.9600\n", "Epoch 2/10\n", "60000/60000 [==============================] - 6s 107us/step - loss: 0.1090 - acc: 0.9681 - val_loss: 0.0964 - val_acc: 0.9698\n", "Epoch 3/10\n", "60000/60000 [==============================] - 5s 88us/step - loss: 0.0704 - acc: 0.9801 - val_loss: 0.0801 - val_acc: 0.9757\n", "Epoch 4/10\n", "60000/60000 [==============================] - 6s 94us/step - loss: 0.0494 - acc: 0.9856 - val_loss: 0.0699 - val_acc: 0.9785\n", "Epoch 5/10\n", "60000/60000 [==============================] - 6s 92us/step - loss: 0.0360 - acc: 0.9899 - val_loss: 0.0743 - val_acc: 0.9780\n", "Epoch 6/10\n", "60000/60000 [==============================] - 5s 85us/step - loss: 0.0275 - acc: 0.9922 - val_loss: 0.0611 - val_acc: 0.9805\n", "Epoch 7/10\n", "60000/60000 [==============================] - 5s 91us/step - loss: 0.0200 - acc: 0.9948 - val_loss: 0.0617 - val_acc: 0.9824\n", "Epoch 8/10\n", "60000/60000 [==============================] - 6s 99us/step - loss: 0.0142 - acc: 0.9968 - val_loss: 0.0651 - val_acc: 0.9813\n", "Epoch 9/10\n", "60000/60000 [==============================] - 5s 82us/step - loss: 0.0117 - acc: 0.9974 - val_loss: 0.0586 - val_acc: 0.9827\n", "Epoch 10/10\n", "60000/60000 [==============================] - 5s 79us/step - loss: 0.0079 - acc: 0.9986 - val_loss: 0.0649 - val_acc: 0.9814\n" ] } ], "source": [ "history = model.fit(x_train, y_train, validation_data=(x_test, y_test), epochs=10, batch_size=200, verbose=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tracé des courbes `accuracy` et `loss` :" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "def plot(history):\n", " # Plot training & validation accuracy values\n", " plt.figure(figsize=(15,5))\n", " ax1 = plt.subplot(1,2,1)\n", " ax1.plot(history.history['acc'], 'o-',label='Train')\n", " ax1.plot(history.history['val_acc'], 'o-', label='Test')\n", " ax1.set_title('Model accuracy')\n", " ax1.set_ylabel('Accuracy')\n", " ax1.set_xlabel('Epoch') \n", " ax1.grid()\n", " ax1.legend(loc='best')\n", " # Plot training & validation loss values\n", " ax2 = plt.subplot(1,2,2)\n", " ax2.plot(history.history['loss'], 'o-', label='Train')\n", " ax2.plot(history.history['val_loss'], 'o-', label='Test')\n", " ax2.set_title('Model loss')\n", " ax2.set_ylabel('Loss')\n", " ax2.set_xlabel('Epoch')\n", " ax2.legend(loc='best')\n", " ax2.grid()\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(history)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Entrainer le réseau plus longtemps (augmentation du nombre d'epochs) peut permettre d'aumgenter les performances du réseau \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5/ Vérication de l'apprentissage ...." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La méthode `predict`permet de demander au modèle sa prédiction pour une ou plusieurs entrées.
\n", "Exemple de prédition pour une image test numéro i dans le jeu d'images de test (0 <= i <= 10000) :" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "valeur trouvée par le réseau de neurones : [0.0000 0.0000 0.0000 0.0024 0.0002 0.0000 0.0000 0.0001 0.0000 0.9972]\n", "valeur trouvée arrondie : [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0]\n", "rep[0].argmax() donne : 9\n", "\n", "La bonne réponse est 9, soit en 'hot coded' : [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 1000\n", "rep = model.predict(x_test[i:i+1])\n", "\n", "np.set_printoptions(formatter={'float':'{:0.4f}'.format})\n", "print(\"valeur trouvée par le réseau de neurones :\", rep[0])\n", "\n", "np.set_printoptions(formatter={'float':'{:0.1f}'.format})\n", "print(\"valeur trouvée arrondie : {}\".format(rep[0]))\n", "print(\"rep[0].argmax() donne : {}\".format(rep[0].argmax()))\n", "\n", "plt.figure(figsize=(1,1))\n", "digit = image_test[i]\n", "plt.xticks([]); plt.yticks([])\n", "plt.imshow(digit, cmap='binary');\n", "print(f\"\\nLa bonne réponse est {etiq_test[i]}, soit en 'hot coded' : {y_test[i]}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Écrire les instructions Python pour calculer avec les données de test le pourcentage d'erreur du réseau entrainé....
\n", "Conseil: la variable rep contient pour chaque image une liste de 10 probabilités, il pourra être utile d'utiliser la fonction argmax de la librairie numpy pour obtenir le chiffre de plus haute probabilité.
\n" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "taux de réussite : 98.14 %\n" ] } ], "source": [ "results = model.predict_on_batch(x_test)\n", "bonne_rep = 0\n", "for i, res in enumerate(results):\n", " bonne_rep += (np.argmax(res) == etiq_test[i])\n", "print(f\"taux de réussite : {bonne_rep/len(x_test)*100 : .2f} %\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modifions notre modèle vers une architecture multi couche\n", "\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from keras.models import Sequential\n", "from keras.layers import Dense \n", "\n", "nb_classes = len(y_train[0])\n", "\n", "model2 = Sequential()\n", "\n", "model2.add(Dense(784, input_dim=nb_pixels, kernel_initializer='normal', activation='relu'))\n", "model2.add(Dense(300, kernel_initializer='normal', activation='relu'))\n", "model2.add(Dense(100, kernel_initializer='normal', activation='relu'))\n", "model2.add(Dense(nb_classes, kernel_initializer='normal', activation='softmax'))\n", "\n", "model2.compile(loss='categorical_crossentropy', optimizer='adam', metrics=['accuracy'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Avec la méthode `summary` de l'objet `model2`, faire afficher la description du modèle : expliquer les valeurs des paramètres ?" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_3 (Dense) (None, 784) 615440 \n", "_________________________________________________________________\n", "dense_4 (Dense) (None, 300) 235500 \n", "_________________________________________________________________\n", "dense_5 (Dense) (None, 100) 30100 \n", "_________________________________________________________________\n", "dense_6 (Dense) (None, 10) 1010 \n", "=================================================================\n", "Total params: 882,050\n", "Trainable params: 882,050\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model2.summary()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train on 60000 samples, validate on 10000 samples\n", "Epoch 1/10\n", "60000/60000 [==============================] - 8s 131us/step - loss: 0.2942 - acc: 0.9149 - val_loss: 0.1220 - val_acc: 0.9611\n", "Epoch 2/10\n", "60000/60000 [==============================] - 7s 120us/step - loss: 0.0970 - acc: 0.9707 - val_loss: 0.1037 - val_acc: 0.9682\n", "Epoch 3/10\n", "60000/60000 [==============================] - 7s 119us/step - loss: 0.0613 - acc: 0.9811 - val_loss: 0.0806 - val_acc: 0.9754\n", "Epoch 4/10\n", "60000/60000 [==============================] - 7s 120us/step - loss: 0.0411 - acc: 0.9874 - val_loss: 0.0758 - val_acc: 0.9777\n", "Epoch 5/10\n", "60000/60000 [==============================] - 7s 122us/step - loss: 0.0308 - acc: 0.9901 - val_loss: 0.0671 - val_acc: 0.9799\n", "Epoch 6/10\n", "60000/60000 [==============================] - 7s 122us/step - loss: 0.0221 - acc: 0.9927 - val_loss: 0.0701 - val_acc: 0.9811\n", "Epoch 7/10\n", "60000/60000 [==============================] - 8s 135us/step - loss: 0.0193 - acc: 0.9941 - val_loss: 0.0800 - val_acc: 0.9795\n", "Epoch 8/10\n", "60000/60000 [==============================] - 8s 136us/step - loss: 0.0165 - acc: 0.9946 - val_loss: 0.0737 - val_acc: 0.9810\n", "Epoch 9/10\n", "60000/60000 [==============================] - 7s 122us/step - loss: 0.0175 - acc: 0.9942 - val_loss: 0.0722 - val_acc: 0.9817\n", "Epoch 10/10\n", "60000/60000 [==============================] - 7s 119us/step - loss: 0.0121 - acc: 0.9959 - val_loss: 0.0731 - val_acc: 0.9829\n" ] } ], "source": [ "history2 = model2.fit(x_train, y_train, validation_data=(x_test, y_test), epochs=10, batch_size=200, verbose=1)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(history2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Augmenter le nombre de couches a t'il un impact sur les performances du réseau (> 98.5%) ? Que peut on conclure sur l'utilité de complexifier ce type de réseau ? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "À priori, on peut voir que cela n'a pas un grand impact, la reconnaissance lors des tests tourne toujours autour des 98%, il est donc peu utile de complexifier ce type de réseau." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Utiliser le réseau avec ses propres images" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Liste des images envoyées : ['chiffres/huit.png', \"chiffres/ce n'est pas un deux.png\", 'chiffres/septFrançais.png', 'chiffres/6jlc.png', 'chiffres/essa1.png', 'chiffres/quatre.png', \"chiffres/n'oeuf.png\", 'chiffres/cinq.png', 'chiffres/chaval de 3.png', 'chiffres/septAmericain.png']\n" ] } ], "source": [ "import os\n", "images = ['chiffres/'+f for f in os.listdir('chiffres') if f.endswith(\".png\") or f.endswith(\".jpg\")]\n", "print(\"Liste des images envoyées : {}\".format(images))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((10, 28, 28), dtype('uint8'))" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import cv2\n", "# lecture des images -> matrices ndarray 28x28 \n", "input_data = [255-cv2.cvtColor(cv2.imread(image),cv2.COLOR_BGR2GRAY) for image in images]\n", "input_data = np.array(input_data)\n", "input_data.shape, input_data.dtype # on doit avoir 4 matrices de 28 x 28 valeurs " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,4))\n", "for i,M in enumerate(input_data): \n", " plt.subplot(1,12,i+1)\n", " plt.imshow(input_data[i], cmap='binary');\n", " plt.xticks([]); plt.yticks([])" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "nb_images = input_data.shape[0]\n", "# mise 'à plat' des matrices sous forme de vecteurs de floats :\n", "x_photo = input_data.reshape(nb_images, 28*28).astype('float32')\n", "# normalisation des données :\n", "x_photo /= 255" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.001 0.030 0.312 0.286 0.246 0.000 0.003 0.045 0.075 0.002]\n", " [0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.244 0.020 0.000 0.332 0.000 0.370 0.033 0.001]\n", " [0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000]\n", " [0.000 0.969 0.030 0.000 0.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.000 0.000 0.978 0.021 0.000 0.000 0.000 0.001]\n", " [0.001 0.011 0.009 0.012 0.000 0.073 0.000 0.814 0.040 0.040]\n", " [0.000 0.000 0.000 0.000 0.000 0.999 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.000 0.001 0.000 0.009 0.000 0.988 0.001 0.000]]\n" ] } ], "source": [ "rep = model.predict(x_photo)\n", "np.set_printoptions(formatter={'float': '{:0.3f}'.format})\n", "print(rep)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 2, 7, 6, 1, 4, 7, 5, 3, 7]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[r.argmax() for r in rep]" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.006 0.004 0.553 0.155 0.000 0.000 0.011 0.119 0.150 0.001]\n", " [0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.026 0.012 0.000 0.001 0.000 0.961 0.000 0.000]\n", " [0.000 0.000 0.000 0.000 0.000 0.001 0.999 0.000 0.000 0.000]\n", " [0.000 0.660 0.340 0.000 0.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.004 0.010 0.000 0.127 0.000 0.536 0.031 0.290]\n", " [0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000]\n", " [0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000]]\n" ] } ], "source": [ "rep = model2.predict(x_photo)\n", "np.set_printoptions(formatter={'float': '{:0.3f}'.format})\n", "print(rep)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[2, 2, 7, 6, 1, 4, 7, 5, 3, 7]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[r.argmax() for r in rep]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour améliorer les performances du réseau il est nécessaire de changer d'architecture pour passer sur des réseaux de types\n", "**convolutionnels**." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }