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@birongzah
Created February 19, 2024 08:25
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{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"id": "f1c84aa2",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2378c625",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Line Plot\n",
"y1 = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n",
"y2 = [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]\n",
"y3 = [5, 3, 1, 3, 5, 7, 9, 11]\n",
"y4 = [7, 6, 5, 4, 3]\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.plot(y1, '-', color='tab:red', label='y1')\n",
"plt.plot(y2, ':', color='tab:green', label='y2')\n",
"plt.plot(y3, '--', color='tab:blue', label='y3')\n",
"plt.plot(y4, '-.', color='tab:pink', label='y4')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4ae0d11d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Scatter Plot\n",
"x1 = [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]\n",
"y1 = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n",
"\n",
"x2 = [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]\n",
"y2 = [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]\n",
"\n",
"x3 = [4, 6, 8, 10, 12, 14, 16, 18]\n",
"y3 = [5, 3, 1, 3, 5, 7, 9, 11]\n",
"\n",
"x4 = [4, 6, 8, 10, 12]\n",
"y4 = [7, 6, 5, 4, 3]\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"\n",
"plt.scatter(x1, y1, marker='o', color='tab:green', label='y1')\n",
"plt.scatter(x2, y2, marker='^', color='tab:green', label='y2')\n",
"plt.scatter(x3, y3, marker='s', color='tab:blue', label='y3')\n",
"plt.scatter(x4, y4, marker='*', color='tab:pink', label='y4')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1cec5104",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SB1kUS2elyWnjn4cXA3BH9/FEm+Vmr/Pti4P7uXfBfBxuN1O79+Tf06ZjNhhEx5Ik6QcIt1h458pryI6JpaqlmVlzP+FotSyMzzez3sgvek4G4J1jq6horRecyPf1jbgMBR1FLbuoaM0VHcenyKJYOitv566gytZAijWK69JHiY4TcD7eu5uHvl6AS1W5qnc2L06ZhlGvFx1LkqQfIcISxLtXzqRPTCyVzc3c+NlscmuqRccKOJck9KNfRBqtLgf/ObxEdByfF2qMpXuoZ5TqLrlafBJZFEtnVNRczQd5nt6jB3pNxaSTq5fn09s7t/H4ssWowI39BvDniVMwyGObJSkgRAYF8e6V19ArOoaK5iZu/OwTWRifZ4qi8GDvqQB8WbSNQ3JE2xkNiLwSgAP1y2h1ydV1r4B/5f2+3ZXyzPSz9/LBhdjdToZFd+OiuD6i4wSU/2zZxDMrlwPwk0FDeHbcBHRyoockBZSoICvvXTmTntExlDc1Meuz2RyrlXNiz6d+EWlMSuiPisqLBxbI1/gzSArqS4w5C6dqY1/t16Lj+IyAL4qXlrxAftPW73zcO0pMlbMNT2tbzTGWl+1Fh8JDvafJEWzniaqqvLRpA39e59kYct/wC3h8zFh5fSUpQEVbPYVxj6hoypoamTXnE/Jra0XHCij39JyMSWdgS3UuayrkUcanoyhK+2EeO2s/l+PZ2gR0UdzqamB//RJCDbEAON128pu2sL16DntqF2JzNaEoAX0JfhQ3Ki8dWgTAVWnD6R6aIDhRYFBVlS9qqvjX1k0APDrqQh66YLQsiCUpwMVYrbx31Uy6R0ZR2tTIjZ99wvH6OtGxAkaSNZIb0kcD8NKBhTjdstA7nV5hF2PWhVLvKCWvcZPoOD4hoCvCrdWfkGDpRZQ5jVp7EcvLXmbe8cc5WL+cHdVzmHf815S3HhYd02ft0FVwpLGUUIOFn3a/RHScgOBWVZ5etYIVDbUAPDV2PHcPHS42lCRJXSbWGsz7V11Lt8goShobuOXzz6h2OkTHChi3dhtLpCmYguZK5hZtFh3Hpxl1FnIipgCws3ae2DA+IqCL4r21CxkecxMAGyvfpclZyTVpLzA95fdcGPcznKqNTZXvCU7pmxqdraw0HAfgru4TiDDJ44V/LKfbzaNLFvHRvt0owB/GTeDWAYNFx5IkqYvFBgfz/lUzyYyIpLixgVdKiyhqkJudzocQg4WftS3ivHlsJS04BSfybf0jpgMKBU1bqbEdFx1HuIAtistbD9PiqqOgaRsVrUcpbT3A8OibSLb2x2qIID1kGAMjr6TZVUOjQ5429G1vHVtJs+Ik3RrDNWkXiI7j9+wuFw8u+orPDuxDryjcFBPPNX1yRMeSJEmQuOAQPrjqWjLCI6hxObn5889kYXyeTE8ZSlZIHHWOZtbqi0TH8WnhpkQyQzyv8fIwjwAuioP0EYyOvZOi5p18kHc3qCqhxjigY3NdjKUbjY4qdIqcB3ui/KZKZh/fCMB9PaZg0Mnr82OoqsqjSxex4MghTDo9L0+eyuBgefiJJGldfEgI70y/ihiDkaKGembN+YRiWRj/aAadngd6eUa0bdaXUdgsR+CdjnfD3b76xdhcTWLDCBawRXGoMZYhUddxVdpfuCLljwyLmYVBMQO0b6471riBEGM0VkOkyKg+56UDC3CqLrq5whkZ00N0HL/38qb1fHHwAAadjv9cNoNLMruJjiRJko+IDwnhnvgkUsPCKKivY9ZnsylpaBAdy++NjO3JiKjuuBWVfx+RB3qcTpp1EJGmVBzuFg7Ua/taBWxRDJ6RIxZ9GOkhw+gZOpYgQ3j7r5W2HGB/3WIGtg2wljw2VR5hTcUB9IqOS1zpouP4vQWHD/LSxvUAPDtuAuMyMgUnkiTJ10QajLwz/WpSw8LJr6tl1tzZVLc0i47l937RYxKKCisq9rGzJl90HJ+lKDoGRM4AYGfN55qe8RzQRfGJDDpz+//bXI3kNW0izTqYnmHjBabyLaqq8uqRpQBcmTyMGDVIcCL/lltTza+XLgY8B3Nc17e/4ESSJPmqpNBQPrjqWpJCQ8mrreHur77A5pSbxH6MrJB4Brg9I1lfP7JMcBrf1idsEgbFQo39OCUt+0THEUYzRbGXqqqY9SEMiZrJBbG3i47jUzZVHWF3bQFmnYGbMy4UHcevtTod/GLhlzQ67AxPSuHR0ReJjiRJko9LDgvjzelXE2IysaW4iMeWfa3pVbvzYbQzGb2iY2PVEXbVFIiO47NMeivdQ8cAsL9+seA04gRcUVzeehin2w6c+rQ6FTeNjkqMuiCCZS9xO1VVef3INwBckTqMGLPcCPZjPLNyOQcqK4gOsvLSlGkYdAH3rSZJUifoER3NP6dejl5R+OLggfb2K+mHicDMpQkDAPjf0W8Ep/FtfcInAXCofgVOt01wGjEC6pXa7mpmcfHzHG1cC3DSaXXed9uFzTv47Piv2FE9V0hGX7W5+ig7a/Mx6QzckjlWdBy/9tn+vXy81zOL+MUpU4kPCREdSZIkP3JhWgbPjvfM2n1503rmHdDu7ezz4eaMi9ArOtZVHmJfXaHoOD4r1TqQEEMsdncTuY3rRMcRIqCK4q3Vs6my57Os5AXWVfwPu8uzUUFV3e1H6BoUC7Hm7sRZ5FQFrxNXiWekDCXWEiY4kf86VFXJ/y339GU/MGIUo1PlZkVJks7d9X3789PBQwH49dLFbCqSxdwPlWKNYnKid7V4ueA0vktRdPQJnwjAvjptTqEIqKJ4d+0XTE36LaPj7mJ/3ZL2vpgTV4yTrDlMSfoNSda+omL6nK3VueyoycOo6LklS64S/1BNdju/WDCfFqeTManp3DtshOhIkiT5sUdHX8SUbj2wu13c/dXnHKutER3Jb92eNQ4dCqvK93Owvlh0HJ/lbaEoaNpCk7NKcJquFzBFcV7jJtyqm+6hF5IdPpmciEtZVfZvlpX+nWZnLQBu1YVbdbWvGkse7avEqUOJt4Sf4bOlU1FVld8uX8qRmmrig0P42+Sp6GUfsSRJP4JOUXhh0qUMiE+gtrWVO7+YS01Li+hYfik9JJZLEvsBcrX4dCJNKSQGZaPi5kCd9iZ2BMyr9tbqj+kTPhFF0WHUWbgg5hbGJdzH8aZtbK3+GACdopen133L1qpcttUcw6jouVX2Ev9gH+/dzecH96NXFF6aMo0Yq1V0JEmSAkCQ0chrl13RPqrt53JU2w92e9Z4FBSWl+3laEOp6Dg+q0+YZ7V4f/1izU0/CYii2KnaKG893D582jt1ol/EZQyLnsXe2kV8Wfg0jY5KkTF90utHPe8Ep6cMJT4oQmwYP7WvopynV3pW2x8ZNYbhySmCE0mSFEhig4N5Y/pVhJhMbCou5Her5ErnD9EtNJ6LE3IAuVp8Oj3DxqFXjFTZ8qiwHREdp0sFRFFsUMz8tMccIkzJwMk9xDkRU5iQ8BAVtiOsKHulfVybBNuqj7G1+hgGRc+tspf4B6m32bh3wXzsLhcXZ2Rx1+BhoiNJkhSAekXH8I8pl6EAH+7ZxaIjh0VH8kt3dPMc2LW0dA/HGssFp/FNZn0IWSGjANhfp62ZxcKL4qKiIm666Saio6OxWq0MHDiQrVu3nvPX0SvG7/21HmEXMS7+Phqc5Rh0ph8TN6B4T/i5PGUICXKV+JypqsrjyxaTX1dLUmgof500BZ3sV5ckqZOMzcjkriGeN96PL1tMSUOD4ET+p0doImPjslFRefPoCtFxfJZ3w93B+m9wqQ7BabqO0KK4pqaG0aNHYzQaWbhwIfv27eOFF14gIiLivP9ZmSEjuCL1ufP+df3Vjpo8tlTnYlD03CZXiX+Qd3ZtZ+GRQxh1Ol659HIiLPJYbEmSOtfDF4ymX1w8dbZWfrl4IS73dw+pkk7vzrbV4sUlOylokm2Vp5IePBSrPooWVx15jZtEx+kyQovi559/ntTUVN58802GDx9ORkYGEyZMoFu3bp3y5wXp5WQFL+/EicuSB5MYJE/2O1c7S0v44+qVADw+ZiwDExIFJ5ICgdY2tUjnzqTX8+KUaViNRjYUHec/WzeLjuR3eocnMya2N25U3spdITqOT9IpenqHTwBgv4ZmFhtE/uFffPEFkydPZubMmaxcuZLk5GTuuece7rrrrlN+vs1mw2brOHqwvr4eAIfDgcOhneX9H2t3bQGbqo6gV3TclDb6lNfO+zF5Xb+rtrWVXyycj8PtZnJWd27M7ntO10le287jy9dWVVXqmloprWmgtLqB0ppGSqvrPf+taaC0poHaxhbSYiPokxZHn7R4+qTF0SslBovp+9vDuoIvX1d/90OubUpwCP83ZiyPL1/KixvWMiIxiQHxCZ0V0W+d7tremn4hayoOsLB4B7ekX0hyUFRXx/N5Pazj2VY9m2ONG2horcKi7zjYy5+eE84lo6IKXJqwWCwAPPzww8ycOZNNmzbx4IMP8uqrr3LLLbd85/Offvppnnnmme98/IMPPsDaNgLLYajH4AxFQfZ2fp8PjQfI1dUx0BXLNGeW6Dh+xa2qvFFRwr6WZmIMRh5OTCFIJ8f8SeByqzS0OqlrdVLb4vlv3bf+63Cd+9OtokBciInEMDPJ4WaSws3Eh5rQ6+RznJapqsq7lWVsb24k2mDgkcQ0LHI2+jmRr4VnVpz+EXZLBVFlFxFWO0B0nB+kubmZG2+8kbq6OsLCTn9ir9Ci2GQyMXToUNat6zhj+/7772fz5s2sX7/+O59/qpXi1NRUSkpKiI6OxqU6eSf/ZoyKhcsSf98+jULqsKfuOD/b8jp6RcdHI+8n6XtaJxwOB0uWLGHixIkYjWJXqXzJ69u38pcNazHp9Xxy1bX0iYk9568hr23n6cxr29Rqb1vhbej4b413xbeByrom3GfxdBodZiUhMpSEyFDio0JIjAwlvu3n4cEWckur2V9Qzv6CMvYVlFNV3/ydr2HU6+iRHNO2ouz5kREfhUHfOUWRfMx2nh9zbettNq6Y/QFFDQ1M79mLv0yY3Ekp/dOZru3u2gLu3voGekXHJyMfkBvOT2Fn7TzWVr1KrLkHM1Nebv+4Pz0n1NfXExMTc1ZFsdD2icTERLKzs0/6WJ8+fZgzZ84pP99sNmM2m7/zcaPRiNFo5HjDFlpctaCPIMqagl4R+tfzSW/mefpgpyYNIj0s7oyf7722EmwuLuRvGz1v4J4eezH9E5N+1NeT17bznOu1dbtVqhqaKKlqoLSmvu2/DZRU1bf/t6HFdsavYzToPQVvVCiJUWHf+W98ZAhm4+mfl1Ljoxg7oDvgWQ2sqGtib14p+/LL2Jtfxv6CMuqaWtlXUM6+go6RUhaTgd6pcWSnx5OTnkB2ejypsRHozuOKsnzMdp4fcm2jjUb+Pnka18/5mC8OHWRcRhZX9M4+82/UmO+7toNjuzEsuhubq47ywfF1PJYzQ0A635YdOZH1Va9TYTtMvbuYaHP6Sb/uD88J55JPaNU4evRoDh48eNLHDh06RHp6+vf8jtPbX++Zp9c7bIIsiE9hT+1xNlQeRq/o2mc1SmenqrmZ+xd+hUtVuaJXH67L6Sc6kvQjud0qGw7k89HyHWw8UIDD6Trj7wmzmk9Z7Hr/GxVqPa9FqKIoxEWEEDewO+MHdhTKRZV17M0vY1/bj/0FZTTbHOw4WsyOo8Xtvz8kyEyftDhy0uPJTo8nOz2BxKhQedR9ABmalMz9w0fy4sZ1PLl8GYMTk0gLjxAdy2/c2W08m6uO8kXhFm7rNo54i9yQfyKrIYKMkOHkNq5nf91ixsSdes9XoBBaOT700EOMGjWKP/7xj1x77bVs2rSJ1157jddee+2cv1aLq47cBk/LRZ9weQvpVLxziS9NGkiyVW4qOFtuVeXhxQsoa2qke2QUz46/RBYVfszmcDJ//V4++GY7eWU17R/XtRWgJxe6Hf+fEBVGsEX8nHNFUUiJjSAlNoLJQ3sBngI/r6yafQVl7MvzrCgfKiynscXG5oPH2XzwePvvjwwJaiuQ4+mfmUhORgIRIXKcoD+7Z9gI1hzPZ0txEQ8uWsDH11yHUS/3OpyNwVFZDIrMYHtNHu/mruKR7MtFR/I5fcInk9u4ngP1SxkVewc6JXAfW0KL4mHDhjF37lwef/xxfve735GZmcmLL77IrFmzzvlrHalfjRsnseZuxFpkw/y3HWkoZV3lIXQo3J4lV4nPxfu7d7K6IJ8gg4F/Tp1OsEl8YSSdu+ZWO3PW7ObdpVuprGsCINhiYvrIHK6+sB9pcZGd1pPb2XQ6hazEaLISo7lshOf2ucPlIre4qr3tYl9+GUeKKqlpbGHt3jzW7s1r//2psRH0zUygX2Yi/TIS6JkSi9EQuC98gcag0/H3SVOZ+sE77Cgr4c0d2/jpEHm65tm6s/vF/GLz//i8cDN3dZ9AuMkqOpJPyQwZgUUfRpOzisLmnaQFDxYdqdMI7zG47LLLuOyyy3701znSsBqAHmHjfvTXCkSz8z2r6OPic0gNjhacxn+UNDTwl7Wex9Zjoy+iR7S8dv6mobmVj1bs4MNvtlPb1ApAfGQIN00YwoxROYQEfXefQiAw6vX0So2jV2ocV47xtPvYHE4OFVawN7+MvXml7DlWSn55DccrajleUcvCTQcAMBn0TBjUg/uuGENCVKjIv4Z0lpLDwvjtReN4bOnXvLRxHdN69CL5DJuKJI9hUd3oEZrI4YYSvizayqzMC0VH8il6xUi3kNHsrVvI0Ya1sij2da2uBgqbdwDQPVQ+mL+t3tHCwpIdAFybfoHYMH7mmZXf0OiwMzghkZv6DxQdRzoH1fXNvP/NNj5ZuZOmVjsAKbHh3D5pGJddkK3JlVCz0eBZDc7sOGymrqmVPXml7DlW4vlvXil1Ta0s3HyA5TuOcOukodw43j9HMWnNNX1ymLNvL5uKC3lqxTL+e/kVstXrLCiKwsy0C/jj3rl8WrCRGzJGo1P8865RZ+kWOsZTFDeuYZx6r+g4nSYgiuKC5i24cRFtziTSlCI6js+ZX7iVVpeD7iEJDIrMFB3Hb3x99DCLc49g0On4w4RJ6OSLi1+ob3XywpxVfLFuH60OJwDdEqO5Y8pwJg7p6bctEp0lPNjC6JwMRudkAJ6NfHvzy/j7nFVsP1LEq19t4PN1exmTFsSl8sQ9n6YoCr+/+BKmffAO3+Tlsjj3CJO79RAdyy9MThzAPw4upKilmvWVhxkd20t0JJ+Sah2ESWelyVlFaesBYgyB+bgKiFeHY02e1gC5SvxdLtXNpwUbALg2faRcNThL9TYbT6/wHIX9syHD6BUdIziRdCbHK2r544ff8NLKAj5ZuYtWh5Ps9Hhe+NnlfPzbm7l0eG9ZEJ8FRVHom5HA6w/P5E8/mUpCVCilNQ18urOcu1+ey4Hj5Wf+IpIw3aOi2/uJn1nxDY12u+BE/iHIYOKy5CEA7a+ZUgeDzkRGyAgAjjasEZym8wTEK0Rhy05AFsWnsq7iEEUt1YQaLExOlLdAz9Zf1q2mrKmRjIhIfjFMtpz4sqPFlTzxv4Vc+dRbfL5+H24VBnVL4p/3XcW7j93A+IHdz+uYNK1QFIVJQ3ox56lbuevS4Rh0CjuOFjPrufd59v0lVJ/iUBHJN9w7bARpYeGUNjXy9w1rRcfxG9ekeZ7r11UcorC5SnAa39M9xFNjHWlYg8Bz3zpVQBTFKk4iTClEmzJER/E5sws8q+jTU4YSZJBTE87GluIi3t/teaP1x4snYjYERJdRwNmXX8ov//MFM599l4WbD+BWVUZmp3P7iCT+88BVjMxOl3dGzoMgk5GfXDqcX1yYyqQhPVBVmLtmD1c89SbvLd16VvOdpa5lMRj53fhLAHh753b2lpcJTuQfUoOjGRnTExWVOQUbRcfxOekhw9ArJuocxVTZ80TH6RQBURSDZ5VYvgCeLL+xgg2Vh1FQ2t8BS6dnd7l44pslAMzM7ssFKamCE0nftvVwIfe8/Bk3/elDlu88iqLAhEHdef/xG3nx7stJi7SIjhiQwoMMPHvrZN745bX0To2jsdXO3+as4tpn32XNnmOi40nfclF6Bpf16IVbVXli+VJcbrfoSH5hZttr5ReFW2h1ydaTE5l0QaQHDwUgtykwWygCqiiWTvbpcU9f1OjYXvKwjrP06tZNHK6uIjrIyuNjLhIdR2qjqipr9+Zxx18/5q6/zWbD/nz0OoVpI/ow+/9u4S8/vZw+afGiY2rCoO7JvPfrG3ny5olEhVrJL6/h/n/O475X5nKstFp0POkEv71oHCEmE7vKStvvfkmnNzK2J0lBkTQ4W/m6ZJfoOD6ne+gYAHKb1glO0jkCoigO0ccSZw7MnZA/VJPTxpeF2wDPBjvpzHJrqvnnJs8tsyfHjifCIk/5Es3tVlm2/TA3/ekD7ntlLjuOFmM06Ln6wn7Mffo2nr1tClmJcnZ0V9PpFK4Y1Zd5z9zGLROHYNDrWLs3j+uefZcXPl1JQ3Or6IgSEBccwiMjPUXMX9evoayxUXAi36dXdO13Vmfnrw/Y3tkfKjNkJDr0VNvzcBhrzvwb/ExAFMUZwSNk68S3LCjaRpPLRnpwDMOju4mO4/Pcqspvli3B7nYxNj2Ty3rIcTwiOV1uvtq4n2t//w6/eu1L9heUYzEZmDVhMPOfvYMnbryElNgI0TE1LyTIzINXXcSnT97CRf2ycLrdvL9sGzOeeos5q3fJW/Y+YFa/AfSPT6DRbucPq1eIjuMXLk8eglln4FBDCbtrC0TH8SkWfSgpwQMBaA7NFRumEwREUdwtWLZOnEhVVWa3jZS5Ju0COYT8LMzeu5tNxYUEGQw8O36CfJMliN3hZM7qXVz19Fv831uLyC2pJsRi4s4pw/nq93fyy2vGEhcRIjqm9C1pcZG8eM8MXrnvSjIToqhtbOEPHyxj1nMfsPVQoeh4mqbX6fjD+EvQKQpfHj7Iqvw80ZF8XrjJyqS2aU2ftG1Wlzp4p1A0hRwVnOT8C4hqKdbSXXQEn7K56ih5TRVY9SamJQfucYznS0VTE8+tXQXAQxeMJiUsXHAi7WmxOXh/2TamP/kmf/hgGYWVdUSEBHHv9NF89cefcO+M0USGWkXHlM5gVHYGH/32Jn41cxyhQWYOFVZw199n89h/v6S4ql50PM3KiYvntgGe14Inly+l1ekQnMj3eTfcfVO6l0pbg+A0viUrdBSgYA8qo8FZITrOeRUQRbF0Mu8722nJgwkxyJ34Z/LsquXU22z0jYvntoHyTURXamix8cbCTUz77Ru88OlKymsbiQ0P5pfXjOWr39/JnZcOJzTILDqmdA6Mej03XDyIeb+7nZkX9UenKCzZdpirn3mLf89fR4tNFmQiPHjBKBJDQiior+OVTXLc2Jn0Dk+mb3gqTtXF58c3i47jU4INUSRasgE4FmAb7mRRHGCKm2tYU34A6HinK32/b47l8uXhg+gVhecunohBJ78luoLL7eb1hRuZ9sQb/POLtdQ2tpAcHcYTN05g/rN3MGvCYILMRtExpR8hMiSIx2+YwAe/mcXQnqnYHC7+u2AjVz79Fgs3HZAbmLpYiMnEk2MvBuC/2zZzuEoeTnEm3k3qc49vwumW87hPlBU8GoDcRlkUSz7s0+MbcKMyIro7GSFxouP4tCa7nf9bvhSAOwYNISdOjvTqCg0tNh769xf864t1NLbYyEyI4tnbpjD3mdu5+sL+mIzysJRA0jMlllcfvJq//PQykqLDKK9t5Ik3F3LHXz9mX36p6HiaMimrOxMys3C43fzf8qXyjckZXJzQl0hTMOW2elaW7xMdx6dkBo8CoKR1D83OWrFhziNZFAeQVpedLwq3ADBTjmE7o79tWEtJYwMpYWE8MGKU6DiakF9Ww61//og1e45hMRp4+pZJzP6/W5g2og8GvXw6ClSKojBhUA/mPHUrv5gxmiCzkZ25Jdz0pw95+p3FVNY1iY6oCYqi8PTYCQQZDGwqLuTT/XtFR/JpJp2BK1KGAfBp2+Z1ySPMGI+pNRYVN7mNgbMZUb4KBZAlJbupd7SQGBTJ6Fg5Uux0dpaV8vbO7QD8fvxErEZ5q76zrd+Xzy3Pf0heaTXxkSG8/strmT4yB51OTvrQCrPRwB1ThjP36duYNqIPAF+s38uVT7/FW4s3Y3c4BScMfMknLAL8ac1KqluaBSfybVelDkeHwtbqYxxtkHc2TmRt8Ix7PdqwWnCS80cWxQFk7vFNgOebWC/HsH0vh8vFb5Ytxq2qzOjVh4vSM0RHCmiqqvLesm3c98pcGlpsDMhK5N3HbiQ7XbaraFVcRAjP3jaFt351PX0zEmhqtfPy3DVc8+w7rNx5VN7W72S3DxxMr+gYalpbeW7NKtFxfFp8UARj4z2byj4tkBsUT2Rt9BTFx5u3Y3MFxsEwsnIKEIcbSthTdxyDoufy5CGi4/i0t3duZ39lBREWC09cOE50nIDmdqs8//Fy/vbpStyqyvSRObz64DXEhAeLjib5gP5Zibz1q+v53a2TiQkPprCijof+8wUP/+cL2VLRiYx6PX+4eCIKMGf/XraWFImO5NO8J9wtKN5Ok9MmOI3vMNmjiDCm4lId5DVtEh3nvJBFcYBYVOw5135MXC+izPJwg+9Tb7Pxry2ed/uPjbqQGKucfdtZXG43v3tvCZ+s3ImiwC+vGctTN0+UG+mkk+h0CpddkM3cp2/j9snDMOh1rNyVy7XPvsPXWw6KjhewBicmMTO7LwB/W79WcBrfNjQqi1RrNC0uOyvL5Ia7E2UGjwAgvzEwxtbJojgAqKrKkpJdAExuO4VHOrXXt22htrWV7pFRXN32giCdfw6Xi9++uYgv1u9Fr1N49rYpzJowWJ4UKH2vYIuJ+64Yw/uPz6J3ahy1Ta08/sYCfvPGAtlr3EnuGzESk07P+sLjrD8ujzP+PoqiMCVpIABfl+wUG8bHpAZ5ZvsXNG8LiLYnWRQHgN21BZS21mLVmxgd21t0HJ9V0dzEG9s90zl+OWqMnEncSewOJ4/99yu+3nIQg17Hn+6cxtThfUTHkvxEj+QY3n7sen467QL0OoVFWw7y+P8W4nDJObHnW3JoGNf17Qd4pvEEQlHTWbzHPm+qOkK1LTD6Z8+HBEsOBsVMk7OKKnue6Dg/mqwKAoD3nevY+GwsejlF4fv8c9MGWpxOBsQnMClLHg3eGVrsDh76zxes2HkUk0HP3+6ezoTBPUTHkvyMUa/n7stG8o9fXInJoGf5jiM8+dbXuNxu0dECzj1DR2DWG9haUszqgnzRcXxWenAMfcKScalulpXuFh3HZxh0JpKtnjdWBU1bBaf58WRR7Oecblf7N+gk2TrxvQrqavlwj6fF5NFRF8rb+J2gqdXO/a/MY/2+fCwmAy/dewVj+maKjiX5sQv6pPPnn16GQa/j6y0H+d17S3C75Wrm+RQfEsKsfp7XDrlafHqyheLU0oKHArIolnzAtupjVNubCDdaGREtVz+/z4sb1uFwu7kwLZ2RqWmi4wSchuZW7nn5M7YeLiTYYuJf91/FiN7yOks/3kX9snjuzqnodQrz1+/jTx99Iwu38+zuocMJMhjYVVbKN8dyRcfxWRMT+qGgsKu2gKLmatFxfEaa1dNXXNS8C6fbLjjNjyOLYj/nfcd6cUJfDDq94DS+6UBlBZ8f3A/AI6MuFJwm8NQ0tvCzF+ew+1gJYVYz/3ngagZ2SxYdSwogEwb14He3TkFR4NPVu3jh05WyMD6PYqxWbhkwCIC/b1iLW17bU4qxhDE0OguAxW2b2yWINmdi1UfhVG2UtPj3KYmyKPZjdreT5WWeB+CkhP6C0/iuF9avQQWm9ehJvzh5YMT5VFHXyE//NpsDx8uJCrXy2kMzyclIEB1LCkCXDu/NkzdNAuCDb7bzyufyVv/59NPBwwgxmthXWcHXRw+LjuOzvBOeFpXskI+/NoqikB7sOR8hv2mL4DQ/jiyK/diGysM0OluJNYcxMCpDdByftKW4iGXHctErCg9dMFp0nIBSWt3AXX+bzdGSKmLDg/nvwzPpmRIrOpYUwGaMyuHX118MwJtfb+b1hfKEsfMlMiiI2wd5boO/tGGdXC3+HuPjczAqeo41lnOkUR777JXWVhT7e1+xLIr92OK2AzsuSegnj3X+Hi+sXwPAtTn9yIqMEpwmcBRW1HLnC59QUF5LYlQYr//yWjIT5PWVOt+1Ywfw8NUXAfDv+et5e7F/r0z5kjsGDiHUZOZQdRVfHZYHp5xKqDGIMXGe0afeQ7MkSA32vKGqsB2h2VkrNsyPICspP9XitLOqwtMnOzlJTp04lU1FhWwsKsSk0/OLYReIjhMwjpVWc+cLn1BSXU9aXARv/PJaUmMjRMeSNOSmS4Zw73TPnZ+X5q7mo+XbBScKDOEWCz8Z7Fnxe2njOpxyBN4peVsoFpfsxK3KawQQbIgixuzptz7evE1wmh9OFsV+anXFflpdDlKsUfQJk5uaTuVfmz23Vq/OziExNFRwmsBwqLCCn7zwCRV1TXRLjOb1h68lIUpeW6nr3XnpcH5yqeeI2T9/soLP1sjZsefDbQMGE2GxkFtTwxdtG5Slk42K7UWwwUxZax07a+RsZ69AaKGQRbGf8u58nZjQX87cPYVdZaWsKshDryj8bMgw0XECwt68Un7699nUNLbQOzWO1x6eSUx4sOhYkob9/PKR3HyJ54X4Dx8s5auNsoj7sULNZn462POc+fLG9fIkwVOw6I2Mj88B5MziE504r9hfNyHKotgP1TtaWFdxCJAHdnyff23xrBJf3rM3aeERYsMEgO1Hirj7pTnUN9vol5nIqw9eTWRIkOhYksYpisKDV13ItWMHoKrw1Ntfs2TrIdGx/N4tAwYRHWSloL6Oz/b794itzuJtoVhauhuH2yk4jW9IDuqLXjHS6Kyk2l4gOs4PIotiP7SibC9O1UX3kAS6hcoRY992qKqSxUePAPDzoSMEp/F/Gw8UcO8/PqOp1c7Qnin86/6rCLVaRMeSJMBTGD967XiuGNUXt6ryxP8WsnLnUdGx/JrVaOTuocMB+MfmDdicsuj7tqHR3YgyhVDvaGFD5RHRcXyCQWcmOcgzHtZfWyhkUeyH2lsnEuVs4lP595ZNAEzu1oMe0dGC0/i31btzeeCf82i1OxmZnc5L915BsMUkOpYknUSnU3hi1gQuHdYbp9vNo69/xbp9eaJj+bVZ/foTHxxCcUMDn+zbIzqOz9ErOia1vQZ/XbJDbBgfktY2haLAT+cVy6LYz1TaGthS5VkFmSSL4u/Ir61l/qEDANwzTK4S/xjLth3ml6/Ox+50MW5AN/5+93SCTEbRsSTplPQ6Hc/cOpkJg7rjcLr45X++YPPB46Jj+S2LwcjP21aL/7V5I61Oh+BEvsfbQrGqfD/NTpvgNL7B21dc6KdHPsui2M8sK92NG5W+4akkW+Vc2G97desm3KrK2PQMeXrdj/DVxv089vpXOF1uJg/txfN3TcNkNIiOJUmnZdDr+OMdU7moXxY2h4sH//05O44WiY7lt67L6UdiSChlTY18sFsea/xt2eEppFijaHU5WFUuN3kCxJgzseojcaqtlLbsEx3nnMmi2M8saWudkKvE31XS0MCctk0hcpX4h5u3bg9Pvr0It6oyfWQOv799Cka9XnQsSTorRoOe5++axgV90mixObj/lXnsLygTHcsvmQ0G7hvumfH+7y2baHbI1eITKYrClMSBgJxC4aUouvaDPPKb/a+vWBbFfqSytZ5dtQUoKExI6Cc6js/5YM9OHG43w5KSGZaUIjqOX9qwP58/vL8UVYWZFw3gyZsmotfJpwnJv5iNBl64ezpDeqTQ2GrnkVe/pK6pVXQsv3R1nxxSw8Kpamlm7gH/W/nrbN4Fqg2Vh2l0yMcYdMwrLmzyv0N15KudH1lfeRiAPuHJxFrCBKfxLQ6Xi0/2ejaD3DpgsOA0/im/rIbH/vsVLrfKtBF9+PX149Hp5AxsyT8FmYz87efTSYkNp6S6nqfe/tpvZ6eKZNTruXXAIADe3bVDXsNvyQiJI80ag0t1s7HqsOg4PiE5qC8A5a1H/K6vWBbFfmRdpecs+lExPQUn8T3f5OVS0dxEdJCVS7K6iY7jd+qbWnnwX5/T0GKjf1Yiv511iTwURvJ7oUFm/nzXZZgMelbtzuXdpf53O9cXXJOdQ5DBwKGqSjYXyx7tbxsd2wuAtRUHBSfxDWHGRKz6SNw4KW/1r7nhsij2E063i41tsxBHtX0DSh0+bNsEck12DibZ/3pOnC43v37jK/LLa0iIDOWFn12OWW6qkwJE79Q4Hrl2HAD/mLdGbrz7AcLMFmb06gPAu7v875Z4ZxsT1xuAdRUHcatuwWnEUxSFxCDPiX/FLf51+Issiv3E7toCGp2thBut9AlPFh3Hpxyvq2N1QR4A1+fIDYjn6u9zVrJhfwEWk4G//3w60WHy6GYpsFw9ph+XDuuNy63y69cXUNPQLDqS37m5/0AAvj56hLLGRrFhfMzAyHSC9Waq7U0cqC8WHccnJLUVxSWyKD57Tz/9NIqinPQjISFBZCSftb7Scwvigpge6BX5XuZEn+zbjQqMTk0jPSJCdBy/Mmf1Lj5cvgOAZ2+bQq/UOLGBJKkTKIrCEzdOICM+kvLaRn771iLcbtkbey76xMYxJDEJp9vNh3vkeLYTGXUGRsR0B2BN+QHBaXxDotVbFO/zqz504dVVTk4OJSUl7T92794tOpJPWlvhKYpHy9aJk5y4we6GvgMEp/EvWw8V8vxHywG45/JRTBjUQ3AiSeo8VouJ5++6DIvRwPp9+fzv602iI/kd72rxR3t34XC5xIbxMSPbXps3VMrNdgCx5u7oFSMtrlrqHCWi45w14UWxwWAgISGh/UdsbKzoSD6nvLWOww0lKChcECMLlxPJDXY/TGFFLb96bT5Ot+dwjjsvHS46kiR1uh7JMTx2/cUA/Gf+erYckifenYsp3XsSY7VS3tTE4qNHRMfxKSPbXpv31hVSa28SnEY8g85ErNmzeu5PLRTCd9McPnyYpKQkzGYzI0aM4I9//CNZWVmn/FybzYbN1nGUYn19PQAOhwNHAA8VX1PmOSmnT1gSwYqpS/6u3j/D16/r+7t2AHBV7z4objcOt+9vchB9bRtb7Dzwr8+pbWqlT1ocv7l+PE6nU0iW8030tQ1UgXRdpw7ryZZDBXy18QCPv7GAdx+9nugwq7A8/nRtFWBmnxz+vXUz7+zcxqTMU79W+4quvLaReivdQ+I50ljGurKDTAzwswTO5trGm/tQ2rqfoqY9dLeO66Jk33Uu//6KKrDZY+HChTQ3N9OzZ0/Kysr4/e9/z4EDB9i7dy/R0dHf+fynn36aZ5555jsf/+CDD7BaxT2pdbY5hkMc0NdwoTOZi1zyUAqvKoeDPxTnowJPJKUTYzSKjuTz3KrKR9vKOFzRTKhZz10jkwm1CH9vLEldyuFy89/1RVQ0OsiMsnDTsER0cgThWal1Onm2KA838KvEVJJMZtGRfMY3+gLWG0ro54phulPeuWwKOUJF8kJMrTEk5d8gLEdzczM33ngjdXV1hIWd/owHoUXxtzU1NdGtWzceffRRHn744e/8+qlWilNTUykpKTllER0InG4XU1c9T5PLxn+H3kV2eNcUxQ6HgyVLljBx4kSMPlps/n3jev6zbTOjUlJ58/IrRcc5ayKv7fvfbOfleWsxG/X85/6ryE6P79I/v7P5w+PWHwXidT1WWs3tf51Ni93BnVOG8dOpYo6G98dre9+ir1h87CjXZ/fjmbHjRcf5Xl19bbfVHOO+bW8RYQxm/oWPoAvgTfFnc20bnZW8k38zCjp+kvkpRl1QF6f0qK+vJyYm5qyKYp9aIgoODqZfv34cPnzqRnWz2YzZ/N13pUaj0W+eTM7V7urjNLlsRBit9ItO7/JvMl+9tg6XizltR47e2G+gT2Y8k66+tgXltbz61QYAfnXteAZ0D9y7Dr76uPV3gXRde6bG88SsCfz2zUX87+vNDOmZygV90oXl8adre8vAwSw+dpT5hw/wxEXjCDaZREc6ra66toNjsrDqTdQ6mshtqdTE+NTTXdtIYyIhhlganRVUOXNJDR7YteHanMu/vU+9jbHZbOzfv5/ExETRUXzGurapEyNjewb0u85zJTfYnRu3W+XZ95Zgc7gY3iuVK0f3FR1JkoSbOrwPV43ph6rCE/9bSEWtnL97NkampJIeHkGTw8GCI/51YllnMuoMDIv2bC7znkCrdYlB2YBnNJs/EFplPfLII6xcuZJjx46xceNGrrnmGurr67n11ltFxvIp7UWxPNr5JPIEu3Pz2ZpdbD1ciMVk4P9umiiPcJakNo/MHEfPlFhqGlv49RsLcLp8f7OuaIqiMDPb88b6k71yjOqJvFMoNlTI0WzQURSXyqL4zAoLC7nhhhvo1asXV111FSaTiQ0bNpCeLu4Wli8pa63jSGNp2yg2WRR7yRPszk1pdQMvzV0DwC9mjCY5JlxwIknyHRaTgT/fNY1gi4ntR4r49/x1oiP5hav75KBXFLaWFHOkukp0HJ8xqm1e8e7aAuodLYLTiNdeFLfu94tDPIQWxR999BHFxcXY7XaKioqYM2cO2dnZIiP5lPVtq8Q54SlEmAJ3usa5kifYnT1VVfnDB0tparXTPyuR68YNFB1JknxOWlwkT940EYA3v97M6t25ghP5vviQEMZlZAIwe98ewWl8R0JQBJkhcbhR2SgP8iDW4j3Eo45aR5HoOGckm1R9mLcnaVSsXCX2kifYnZuvNu1n7d48jAY9T940Eb1OfstL0qlMHNKz/U3jk29/TUl1vdhAfuDabM8s3s/275Mn3J3A2+4oT7cDvWIkzuK5Hv7QQiFfIX2Uw+1kc+VRoON2jCQ32J2LqvomXpi9EoCfTr2ArMTAHFsoSefLQ1ddSHZ6PHVNrfz69QU4nLLQO51xGZnEWoOpamnmmzy5uu41qq0oXl95yC9aBjqbP222k0Wxj9pZk0+Ty0aUKZjeYUmi4/gMucHu7D3/8XLqmlrplRLLLZOGiI4jST7PZDTw/E+mERpkZvexEv4xb43oSD7NqNdzVR9PweO9gyfBwKgMLHojlbYGDjeUiI4jXIKlDwAlLfsFJzkzWRT7qPVtt11GxMhRbF5FDfVyg91ZWrvnGEu3HUavU3jqlkkY5RsISToryTHhPHPrZADeW7aNjfvzBSfybd4pFCvzj1HeJEfaAZh0BoZGee5krpctFO0rxVW2Y9jdvr35UFZbPmpHTR4Aw6Jli4DX4qNHUIFhSclyg91puN0qr3y+FoAbLx5M79Q4wYkkyb+MG9CNa8d69iw8/8kK2UZxGlmRUQyMT8StqizNPSo6js/wvnZ7X8u1LMQYQ7AhGhU3VbZjouOcliyKfZDN5eBAnWeX5oAIOZ7Oa/FRzzvuSd16CE7i25ZuP8TBwgqCLSZunzxMdBxJ8kv3Th9FZEgQeaXVfLRih+g4Pm1SN8+BFYuPHhGcxHf0j0gDPKPZ3KqcfR1jzgKgstW3e89lUeyDDtQX41BdRJmCSbFGiY7jE6qam9lc7HmjMLntCVj6LqfLzX/mrwfgpgmDiQgRc9a8JPm7UKuF+6+8EIBXv1xPRZ1sDfg+3qJ4fWEB9Tab4DS+oVdYEmadkXpHCwVNlaLjCNdeFNtkUSydo501nh62/pHp8uSxNt/k5eJWVbJjYkkJk4dPfJ+vNu4nr6yGiGALsyYMFh1Hkvza5Rdk0zcjgWabg5c+Wy06js/KioyiW2QUDreblfm+fXu8qxh0erLDkwHYWVsgOI14siiWfrBdtW1FsWydaCdbJ87M7nDy2lcbALht8jBCgsyCE0mSf9PpFB67bjyKAgs2HWBnbrHoSD5rYpZntXiJbKFo530N31UjN2vGmD0HvVTacn16TJ0sin2MqqrsbntXKYtijya7ndUFnieVSbJ14nvNXbuHkup6YsKDuXbsQNFxJCkg5GQkcPkFOYCnjUI6NW9b24q8Y9icTsFpfEP/SM9r+G65UkykORUdBuzuZhqc5aLjfC9ZFPuYguYqauxNmHQGeofL+cQAK/PzsLtcpIdH0Cs6RnQcn9Rid/DGwo0A/OTSEVhMBsGJJClw3DV1BAadjg37C9hx1PePqhWhX3wC8cEhNDrsrC88LjqOT+jXttkur6mCWnuz4DRi6RUjUWbP9fDlzXayKPYxu9tus/QJS8akk4UNwOJcb+tEd9lj/T0+XrGDyvpmkqLDuHJ0X9FxJCmgJMeEc/lIz6xVb4uSdDKdorSfMrokV7ZQAESYrGQExwJytRj8o69YFsU+ZmdtxyY7CewuF8uPeTZuyNaJU2tosfHW15sB+Nm0CzAa5EEdknS+3TFlePtq8c6jsrf4VCZ5+4pzj+D24b7RruRdLZZ9xSf3FfsqWRT7GO83zgBZFAOwofA4DXYbMVYrgxJkO8mpvLd0K/XNNjITopg6oo/oOJIUkE5cLX5Vrhaf0oiUVEJNZiqbm9lRKo83ho4FLu8Gei2LsXjuJFT68AEesij2IXX2Zo41VQDQLyJVcBrf8HXb1ImJWd3RydaJ76hpbOH9ZdsA+PnlI9Hr5Le0JHWWjtXifLlafAomvZ7xmZ7VQO/EIK0b0LZSvK+uEKdb2ycjetsnau2FON2+Oc9avoL6EG/PUZo1hkhTiOA04p14bKj3tpx0sre+3kyzzUHv1DguHijH1UlSZ5KrxWfmfa7++ugRnx691VXSgmMIMwZhczs5WK/tN1JWfSRB+gjPcc9231w5l0WxD/HeXpGtEx47SkuoaG4ixGRiZGqa6Dg+p7y2kU9W7gA8R9LqdHIlXZI6m1wtPr2L0jMx6fTk19VypLpadBzhdIquY16xxjfbKYrS0VfsoxMoZFHsQ3bVeL5hvI35Wue9/TY+IwuTXm4e+7bXF2zE5nAxsFsSo3IyRMeRJE2Qq8WnF2IyMSrN8xq2WE6hAKB/22v6TrnZzucnUMii2Ec43S721hUCcqUYPIeYfN12MtJkOXXiOworapm3dg8A904fLUfV+bGmJhubNxzlzVeX87sn5jDv0800NrSKjiWdhlwtPr0Tp1BI0D/SUxTvri3QfEtJR1Hsm5vt5CBcH3Gwvhib20GYMYj0YHlAxaHqKvLrajHp9YxNzxQdx+e89tUGnG43F/RJZ0jPFNFxpHNQWVHPnp3H2bPrOHt2HufY0XLc7o4XytXL9/PfV5Zx0cV9uPTygfQbmCbf9PiY5JhwLrsgm3nr9vDqVxv41/1XiY7kUyZkdUP5Zgm7ykopaWggMTRUdCShssNT0Cs6Kmz1lLbWkhgUKTqSMDEWb1F8FFVVfe65TRbFPsLba9QvIg2dIhfwva0TY1LTCTaZBKfxLbklVXy1aT/g6SWWfJeqqhTkVXYUwbuOU1pc+53PS0qOJGdAKolJEaz6Zj95uRUsXbSbpYt2k5oWzaXTB3LJlP5ERgV3/V9COqU7pgzjyw37PKvFucUMyJIjI71ircEMTkxia0kxS3KPcMuAQaIjCWXRm+gVlsS+ukJ21uRruiiOMqWjoKPVVU+zq5pgQ7ToSCeRRbGP8PYaDYiQrRMAi9taJ+SBHd/17/nrUFUYP6AbORkJouNIJ3A4XBw+UNK+Crx393Hq61pO+hydTqFbj3hy+qfSd0AqOf1SiYntWEm76fYLObCvmAVfbGfF0r0cL6jitVeW8b//LGfkhb249PKBDBmeJTdWCpYSG9G+WvzaVxv4531ytfhEk7p1l0XxCfpHpLOvrpDdtQVMSRooOo4wBp2JSFMK1fYCKlqPEhwii2LpW1RVbR/HJk+yg8L6OvZWlKNTFCZkdhMdx6fsLyhj2fYjKAr8/HK5Siyay+nm4IFitm0+xvYtxziwtxi73XnS55jNBvrkJJMzIJW+/VPJ7puCNdj8vV9TURT65CTTJyeZn98/kRVL97Jw/g4O7Ctm9fL9rF6+n/iEcGZcM4zLrhxMUJC8kyKKd7V4/T65Wvxtl2R157k1q9hYVEhdayvhFovoSEL1j0zjo/y1mp9AAZ6+4mp7AZW2Y2SEDBcd5ySyKPYBlbYGKmz16FDIDk8WHUe41QWeVfMhiUlEW62C0/iWj1bsAGDykF50T5a9511NVVWKCmvYtimXbVuOsWNrHk2NJw+hD4+w0rd/Kjn9U+k3MJXuPRMw/MCjt63BZqbOGMzUGYPJPVLGgi+2s+zrPZSV1vHaK0v56N21XH39CGZcPZTgEG0XHSKkxEYwdUQfvli/l09W7pRF8QkyIyLpHhnFkZpq1hUWcGn3nqIjCeWdKnWkoRSby4FZbxScSJxocyY0rKDa5nvTOGRR7AOONJQCniHfFr1c9dlSXATABSnyVL8TNbXaWbL1EADXjhsgOI121NU2s33LMbZt9vwoK6076ddDQi0MGpLBoGGZDBycQUpaVKdsHsnqHs8vHp7CXfdO4JvFe/jonXUUF9Xw5qsr+OT99VwxcxhXXTucsHD5RrIrXXNRf75Yv5fl24/QeL2NkKDvvwugNSNSUjlSU83W4mLNF8Vx5jDCjEHUO1rIb6qgZ5h230BFmDx/9zqH701ukUWxD8htLAMgKyRecBLfsLnYM5puaJJcNT/Rkm2HaLU7SY+LlCtSnchuc7Jn93G2bTrGts25HDlUyolTlAwGHTn9Uxk8LJPBwzLp0SsRvb7rNseazUYuvXwQky4dwIple/ng7bUU5FXy/ptrmPPRRqZfNZSrrx9BVLQ8FbMr5KTHk5kQxbHSapZuO8wVo/uKjuQzhiYl8/7une3P6VqmKApZIfHsqMnjaGOZpovicKO3KC4RnOS7ZFHsA440eIri7qGyKC5paKCwvh6dojAoQbtPGqfyxbq9AEwfle1zY2z8maqqHD1cxrbNx9i6KZc9O49/py84s1scg4dmMnh4Jv0GpvlEH6/eoGPC5H6Mn9iXtSsP8P5bazh6uIxP3l/PvNmbmTpjENfOGklsXJjoqAFNURQuH5nNy3PX8MX6vbIoPsGwtoWNQ1VV2JxOzAZtlxzdQ9uK4rbXfK0Kb1spbnJW4XC3YNQFCU7UQduPUB9xtG2luFuonCSwpcTTOpEdG0eIHMXWLr+shh1Hi9EpCpeNyBYdJ2C0tjr43W8+ZfOGoyd9PComhCHDMhk8LIvBwzJ9etVVp1O4cHwfxozrzaZ1R3jvrTUc2FvEvNmb+XLuViZPG8B1N40iMVm7Y6A627ThfXhl3lp2HC2moLyWtLgI0ZF8QlJoGB9dfR394uI1XxBDx91g72u+Vln0oZh1odjcDdTZS9pnF/sC+SgVzKW6OeYtimX7BJuLPLfZhsnWiZN8sd6zSjwqJ4PYCN8t0PxJS7Od/3v0Y3Zuy8do0ntWgodlMWR4JmkZMX63Gq8oCiNG92D4qO5s35rH+2+uZtf2Ar76fDsLv9zBhEl9ueGWMaSm+9YIpEAQGxHCyOx01u7N48sN+7hHzg9vNzxZHi7k1b1t4UvrK8Xg6Ssuaz1InUMWxdIJCpursbmdmHVGkq1RouMIt7ltk53sJ+7gcrv5csM+AKaPlKvE50Nzk40nHvmIPTuPY7Wa+MPfbqBv/8DY2KkoiqfAH5rJ7h0FfPD2GrZszGXJQs9hIGMvzuaGW0eT1V2+CT+fLh+Z7SmKN+7j7stGyjnS0nd4V4pLW2tpdLQSYtTuxJhwY1tRbPetzXby6DTBctsmT2SGxKHX+El2da2tHKqqBGRRfKIN+/KpqGsiItjCRf185x21v2pqbOXxhz70FMTBZp578caAKYi/rd/ANJ77+4288vodjLqwJ6oKK5bt42e3/JenHvuEg/t86wXJn43t343QIDOl1Q1sOXRcdBzJB4UZg4izhAMdG+y1KtyUCECto0hwkpNpuwrzAUca5SY7r60lxah45lvGWuVxtl6ft7VOXDq8NyajvLnzYzQ2tPLrBz9g355CQkIt/PnlWWT3Dfzbu72yk3jm+Wt59Z27GDshG0WBdasP8Yuf/I/HH/qAPTvlgQI/ltloYPLQXgDMb7uzI0nf5m2T9I5i1ar2CRR235pAIYtiwby9RbKfuGMUm+wn7lDb2MLKXbkAzBgld7X/GPX1LTx6/3sc2FdMWHgQf3n5Jnr10daEk6zu8fz22at4/f27mXhpP3R6hS0bc3no5+/wy3vfYduWY6gnzp+Tzsnlbe1Ny7YdprHFdobP1jatPs66hcrNduC7s4plUSzY0UbPu0U5eaLj0A7ZOtFh0eYDOJwueqfG0TMlVnQcv1VX28yv7nuPwwdLCY+w8pd/3ET3Xtr9nkvLiOHR/5vBWx/dw7QZgzAYdOzaXsBj97/PAz99i41rD2u2aPkx+mYkkJEQRavDydLth0XH8SlOt5vtJcXsr6yg0W73u42s54t3AUzrm+28K8X1jjJcqvMMn911ZFEskM3l4HhTFSBXiludDnaVed4gDEsK/NvZZ+tz72xiucHuB6upbuKRX7xL7uEyIqOC+esrN8tNZm0SkyN58LFpvD37Xq64Zhgmk4H9e4v47a8+5ulfz8bldIuO6FcURWH6BZ7v1fnrZQvFiZoddp5YvpTLPniH59as5KM9u3C6tff4ap9A0Vim6TeewYZoDIoZFTcNDt95gyCLYoHymipwoxJmDCLGHCo6jlC7yspwuN3EBQeTFh4uOo5POHC8nIOFFRgNeqYM6y06jl+qqmzgkV+8S15uBVExIfz1lZvJyJIr7t8WFx/OvQ9P5t05v+DaWSMxmQysW32IV/6+SNMv3D/E1BF90CkK248UcbyiVnQcnxFsNGHQ6Xhs9EWMSkljweFDzPrsE/6zZRMtDodmHmfpwbHoUKhzNFNlaxAdRxhFUQg3ejbb+dIEClkUC3RiP7FWbyV5ndhPrPVr4eU9wW5c/ywiQnznxB9/UVlRzyO/eJeCvEpiYkN54Z+3kJYRIzqWT4uKDuGueyfwm2euRFHgy7nbmP3BBtGx/EpcRAgj+qQBtI9S1Dq3qqLX6ciJjWNrSRHTevbinSuv4VejLqTBbuOyD9/l/d07RcfsEha9kdRgz6xwrfcVd0ygkEWxBBxp6yfuLvuJ2Vwk+4lPZHc4Wbj5AADT5Qa7c1ZRXs8v73mXwoJq4uLDeOGfN5OSKueAn63RY3tx9/2TAPjvP5ex6pv9ghP5l+kX5ADw5Yb9uN3aWAE9HV3bQsfo1DT2VpTTYLOxNPcIByorOF5fhwr8bcNasSG7UDd5sh3gmxMo5HwngbwrxVka7yd2ud1sK/G8U5T9xB4rd+VS19RKXEQIF7StOklnp77OzmP3f0BpSR0JSRH85R83kZAYITqW37nquuGUFNcwb/ZmXnjuK6bPTBcdyW+MHdCNkCAzJdX1bD1cyLBegTkH+2yoqsqyY0c5WlPNluIiShsbmfXZJwCYDQZirMGMS88gNjgYu8uFSa8XnLjzdQtN4JuyvXKzXfsECt+ZVSyLYoGOts8o1vZK8YHKChoddkJMJnpFy9vb0HGs82UXZKPXyRs6Z6ukuJa5H+TSUO8gKTmSv7xyE3Hxskf9h7r7/omUl9axbvUhvvosnylTq8nI1Pab+LNhMRmYPLQnc1bvZv76vZouihVF4d1dO2i024kKCsKg0zEkKZmL0jOItASRFBpKdJBVU89zcqXYI8IHV4q18yj0MfWOFspb6wA5ecJ7tPOQxCRNPTF+n/LaRtbvywfk1IlzUXi8msfu/4CGegfJqVG88K+bZUH8I+n1On799BX07J1Ia4uLpx79lLraZtGx/MLlbS0US7cfpqnVLjiNWPcOu4DHx4zl9+MnkhERSb+4eMZnZDEwIZG44BDNPe97R7DmNpbhVrU3gcOrY6W4xGc2WvrMI/G5555DURQefPBB0VG6hPeIx3hLuKbPP4eOoniobJ0APJtz3KrKwG5JpMVFio7jF47nV/HLe9+hsqKByGgzz790AzGxYaJjBYSgIBNPPXc1oeFGiotqePKxT7DbfGeuqK/ql5lAelwkrXYnyzQ+s3h4cgpDk5KJDwnh8+tmcVWfHBwul88UQl0txRqFWWeg1eWguKVGdBxhQo3xKOhwqjaanFWi4wA+UhRv3ryZ1157jf79+4uO0mVy5Ul27Tr6ieUmO4AFmzybmuQJdmenpcXOE7/8kOrKRtIzY7jyhkyiokNExwookVHBXH5NBiEhZvbtLuS//1omOpLPUxSl/YS7BRu1vVGxxeHgy0MHWJl3DLPBgMvtxqjXa3bSkF7RkRkSB2j7EA+9YiDU6LkOdQ7faKEQXhQ3NjYya9Ys/vvf/xIZqZ1VsaK2d4fe0SxaVdPSQllTIwA5sXGC04hXUdtIbkk1igLjB3QTHccvvPnqCkqKa4mLD+NPL96ANdgoOlJAioqx8OiT0wH4Ys4WjhwsFZzI9108sDsAO44WY3Nod3XdM11iHbP37QHQXLvEqaRYPa/9Wl4pBgg1eF73G52VgpN4CH9k3nvvvUybNo1LLrlEdJQuVdr2jZBg0c4bgVM5UuO5ZZIUGkqwySQ4jXhbDnnmNfdKiSMsWNttNWdj7+7jzJu9CYAHH5tGeIRVcKLANnREFmMnZON2q7z814Vy3NgZpMdHEhMejN3pYvcx31gJE8FqNHL/8JHcNXjoaT/Praq4NdJSkWCJAKCkpVZoDtGCDZ5Rmc3OasFJPIROn/joo4/Ytm0bmzdvPqvPt9ls2Gy29p/X19cD4HA4cDgcnZKxsxQ3e4riWFOoT2b3ZursbIcqKgDoFhHlk9ehM5zu2m464NlgN7hHkmauxw9ltzl54Q/zUVW4ZEpfBg5J67LHrdaceF3v/Pk4Nq07wv69RXz1+VamXDZAcDrfNqR7Ml9vPcTG/fkMyPzupCEtPGZVVWVaN8+q+Yl/T4fLRYPdRp3NRmljI7sryugVFcPY9Izz8uf68rWNNXlOsS1urvbJfGdyvq6tRefZDN1gr+i063AuX1dRBXW6Hz9+nKFDh7J48WIGDPA8qY4bN46BAwfy4osvnvL3PP300zzzzDPf+fgHH3yA1epfK0RVSgs1io0EdzAhaPd2b63TyTFbC0E6Hb2DgkXHEe7lVQXUNDu5YXACPeP86zHd1davKmXr+gqswQZuvLMHliA5YbKrbN9UwdrlpViC9My6qydB8tp/r63H6/lybyVpkRZuH5EkOo4wTS4XB1ubiTEYSTNb2j+2qqGW5fW1ADhVlUSjiV8lBf5s9jpsVCotRKsWItDuXUGHsRa3vhWDIxy9q3NObm1ububGG2+krq6OsLDTb8AWVhTPmzePK6+8Ev0Jg7pdLheKoqDT6bDZbCf9Gpx6pTg1NZWSkhKio7Xdm3u+ORwOlixZwsSJEzEatVu0d4bvu7al1Q3MePpt9DqFxc/dRUiQbCf5PkcPl/HAz97G7VJ54tkrGH1RL0A+bjvLt6+r0+nivp+8Rf6xSqZcNoD7fzVFdESfdbyilmuefQ+DXsey5+/CYjr5camVx+yhqip+t3o5j1wwmoEJnuN9HS4XH+/bwxs7trH85ts5XF3FtXM+YftdPz8vf6ZWrq0I/nRt6+vriYmJOauiWNjb+wkTJrB79+6TPnb77bfTu3dvHnvsse8UxABmsxmz2fydjxuNRp//R/FX8tp2nm9f2x25np7DPmnxRIbJVfPTU0hIjKBbjwTGTfjulA75uO0c3utqNBp58NGpPPTzd/j6q51cOn0Q2X3lSMVTyUyMIT4yhLKaRvYVVDCiz6lPBgz0x2xyRDj7KytJDA9v/3saDAbGZ3Xj9R1bcQLdomNwqm6qbTbiQ87fBJlAv7Yi+cO1PZd8wjbahYaG0rdv35N+BAcHEx0dTd++chSVpD3eTXZDe8ri4kx6Zyfz6js/5cHHpoqOoll9B6QxcWp/VBX+8ddFuFzaPYTgdBRFYWhPz4l23u9xLYqwBGE2GChs2wsEnmtT2dyM1Wgiv64Ws8FAiNHEuuMFApNKWiZ8+oQkSZ6NKJsPHQdgqIaPhD0XFouRsLDO6UGTzs5d90wgJNTCkUOlzJ+7VXQcn9VRFB8XnESsEckpfLJ3N0UN9bjcbkobG/j7hrWkhIWTFOq5rX1T/4GYTnGnWJK6gk/tjlixYoXoCJIkRFFlHaXVDRh0OgZ1k4eYSP4hMiqYO342npf/upC3XlvB2Iv7EBklD075tmG9PHd/9uaV0dxqx2rR5n6Bnw0dzh9Xr2DGh+8xIasb5U2N1La28qtRFxLW1hr5wIiRmj3UQxJPrhR3EVVVcavu9mMttXq85YlUVZXXoY33tmrfzASCzL7dnyVJJ5o6YxA9eyfS1GjjtVfkSXenkhQdTmJUGE63mx25xaLjCNMvLp4/TpjELQMGUdxQT4w1mF+PuYhxGZntn6PFgrjB0cKxxnI2Vh7my8KtvJO7imWlu3GpsiXJ4W5hRdkrXfbn+dRKcSBTFAUF5aSfa528Bh3aWyd6ytYJh8OF0Xjy7VNVVeXjxUfp9Truf+RS7rvrfyxdtJsplw9kwKBTbybTsqG9Upi/fh9bDh5nVHaG6DjCZEZEct/wC+T3M57nta+KtzOnYANlrXVU2Tynu14Y15sVZXv516HFvDD4ZjJCtHPaq6q6UZST12t31nzOyJjbMOs7/y6UXCnuAturj/GHPZ/xyLZ3eWrXJ/zr0GKWlOzieFOVJlZK91eUc7S66qSP7Sor5ZO9u1mRd4zK5mZByXyDqqpsOegtirW9ye7VfyzljX99852Pe19A5QlqvqlXdhLTrhgMwCt/XYTT6RKcyPcMk5vt2rV/P2v8buGmqiO8eOAreoQm8lj2DF4ccisTE/oRpDfxTP9rGRPbm5cOLqSitf7MX8xPHaxfTkXrEZqdngPNvAWxqrpxqy4MihmDYqbF1TXXQK4UdyKby8H7eWt499gqBkZmYNWbqHe0kNtYzvyircSZw7gp80ImJvYXHbVTPb3yG3Ji43hy7MW0Oh08v3Y1y4/lEmwy0exw0DsmlkdHX0hmhDaPvM4vq6GirgmjQU//LO0O9wf4fM5mHn/qCsBTAB89XEplRQMGg55hF3RDp5OrS77q9p+NZ/XyA+Qdq2DuJ5uYeeNI0ZF8ivcu0P6CMhpbbIQEfXe8qNboNL5a/EHeWi5PHsIDvTum6GSFxPHQ1ndocLbwi16TuX7NSxxpKCXWcvr5uv5qa9XHVNvzSQzqS3JQX2IsWcSZexBmSmi/t27UWWhx1RJB578+yqK4E+2pPc6i4h081Hsa4+NzMOuN6BUddpeTktYaPs5bxwv75xNutDI8prvouJ2mrrWVXtExALy+bSsbCo9zU/+BDE9OoaSxgd9+s5Q3tm/lyYvGa3LXsXdHev/MRCwm7X5LfvjOWuITwrlwfB/q65r54O21zJ29ieTkKFxuNwmJEdzz0GTSM2JER5VOISwsiJ/cczEv/PFL3nljFeMuySE2LjBfyH+IhKhQUmLDKayoY8fRYsb0zTzzb5ICmt3tJNx48sml4SYrFr2R401VZIenEG60UtxSIyhh57s2/WUKm3dwsP4bDjYs50D9Mkw6K5GmVBKDsukTPhGzPoQmZ3WX5JHtE53oaGMZocYgpqcMJdQYhElnQK/oCDKYyAqJ5/G+V3JhXB++Kt4mOmqnKm1qJCsqCoCvDh/kupx+/GTwUPrHJzC5Ww/+OnEKW4uLKG4I3FtEp7NZzicG4KN31nLnzy8G4K3/ruTg/mJ++7ureOb5a7nlzouor2th3uxNglNKpzNp6gBy+qfQ2uLg3y8tER3H53hbKDYf1PZoNsljaHQWW6tzWVW+n0pbA8ebqvjLvvm4VDc9wxJxul3EBegKsZdBZyIjZDiTk37NzZlvMC7+F6QHD8XmbmR7zRw+zLuHWnsRTrftzF/sfOTpkj9Fo/SKDrvbSUlLDYlBp24NcLhdJ23AC0QNNlv739HpdjMsKbm9j8ytqvSLj6esqZFws/bOf1dVla3eoljD84kP7CuipcXO57M3o7pVtm85xoOPTmXA4AwAUtOjKS2uZcWyfTQ2tBISqr3Hij/Q6RTuf+RSfn7766xevp8tG48ydEQ30bF8xpCeKcxdu0fz84rBs9dkU3EhvaNjGZGizee+K1OGU9xcw9/2f0l6cCwNjhYcqosb0keTGRJHo7OVW7LGEmcJFx21U6mqioobnaInI2Q4GSHDcbhbqLLlUWMv5GjDGoy6rnnOlyvFnWhCQj9CDGZ+tvG/fJS3lm3VueQ2lpHfWEFRczUf5q3lUH0JQ6MD90Wj3tZKqNnMjZ99Qvd//I3cmmqKGxo80zgUBb1OR1FDA3aXi8gg7R3EkFtSRXVDM2ajnn4ZCaLjCJOaHsNzf7+RsAgrz/52DiazkZS0aKBjc92goZmgQkNDi8io0hlkdY/nimuGAfDK377GbncKTuQ7vCvFB49X0NDcKjiNWF8cOsAzK5ez4Mgh0VGEiTKH8Gj2dO7rNYWM4FhGx/XikT6XMyVpAAAhBgvZ4SnEmEMFJ+1ciqKgUzytk55RrW6MuiASgvrQJ3wiExMfJT14WJdkkSvFnSjCZOX/+l7D+3mrWVC8nS+KtmLRGbEazFTbGiltreXObuOZkjhAdNROYzWamDPzBlqcTsqaGmmw2UgJ67gdZHM6WZ2fR5+YWIEpxfG2TgzISsJk1O63Y3CwmSHDs+g7IJWrrxtBVWUDQUGeAw68m+t2bMvDEmQkMUmbGzL9yS0/GcuKZfsoOl7N7PfXM+v2C0VH8gmxESGkx0WSX17DtiNFjO0fuAsiZ9I9yvOm98i3JhNpjVlvZEJCPyYk9BMdRQi36sLmakSvGDHprW2TSTzP+d5RnGZ9cJfl0e6rcBdJskZyT8/J5DWWU9BcSVlLHa1uB9GmEMbGZwf8bRGDTke3tie/vsR/ZwRPg92OSa/nrsFDRUUUyjuKbVivNMFJfIPZbCS7Xwp2mxOTuePp6cjBUubN3sz9v7pUYDrpbAUHm7n7von88am5fPD2Wi6Z0o/4xAjRsXzC0F4p5JfXsOVQoSyKgcMaL4orW+txoxJnCcfpdqFTFHSKdm7il7ceYnnZP+gXMY2+EdNOmlMsYpa1LIq7QLDBTE5EKjkR2uybOpFOUUDpeBcYY7XyE40WxAAHjpcDMLCbtkexfduJBXFhQRUL5m+n/6B0xoztLTCVdC7GXZLN/Llb2b2jgKWLdsvV4jYDuyUzZ/Vu9uWXiY4iVGZEBACVzc00OxxYjdo7ybPVZec3Oz8iKySOX+dcgUGnvelLRp0Viz4Ug+IZUfjtgzu6mnbejgjmPebZ1fYDoMrWQJOza3ZU+iJFUahqbqassVF0FCHsDhel1Q0ApMfLloDvk5IWzbQZg/nZfZeIjiKdA0VRmDTVM4N9zcqDgtP4Du/3emFFrdgggoWazJj1nje/lc1NgtOIYdGbSA6KIsESgVt1n1QjuDVyxHO0OZ0rU5+nd/glPnGQiyyKu4jSdktE3/ZDVVX+sGcu923+n+hoQthdnhOvZu/bwxUfv8/WkiLBibpeSXU9blXFajYSHWY982/QEO/musYGz2akbj3i5cxbP3TB6B7odApHDpVSWlIrOo5PSI2NAKCirokWm0NsGIEURSE22PO8p+VTTZ/qfw23dRuHTtGdVCNoqYXC5mqkyVlzUruE3dVMq6ueFlcdDY5yauxdcxKkbJ/oQqqq4kZFr+iwuZ0MiEzX3Eqxqqq4VLX9kI7MyEguyepGalhg91afyvHKOsDzIimid0o07yaKU/Furnv/rTXkHinjl7+5jLh47T1G/F1EZDD9Bqaxc1s+61Yd5KrrRoiOJFx4sIW+GQlEhVpparUTbjWJjiRMrDWYwvp6KjS6Ugwdz4PlrXXsri3gaEMZ5bZ6XG43iUERXJLYj4zg2IAtkt2qi42V7xFqjGVQ1NXtH89v2sLOmnnUOUpwuFsx6izc2f3DTs8ji+IupCgK+rZdlRa9kVuzxgpO1PnKmxqxGk2EmDxP/IqiYFAUXtq4jp8OHsbkbj2Y3K2H4JRiFFa0FcVxEWKDCFBT3cjObfn0HZBGVHTIKY9vbmmxExRkxGIxyoLYj42+qBc7t+WzZsUBWRS3eeexG9r/3+HQ7mpxjNWzUlzRpN2iWFEUdtTk8d6x1ZS11mHVm7AazFj0RtZUHOCNo8u5s9t4bsm6CIs+8N5A6RQ9RxpWcXHCgyd93KizUNZ6iAvjfkaQPpwFxc+2F8edSRbFnaTB0UJ5ax0x5jDCTZ5v/F01+RxtLCPCaKV7aCLJ1siAffcHUNXczD1ffUGP6BiCjEYiLRbirMHodDpe3rieQQlJ9IyOJsxs0eQmi8LKWqDjdqqW/OOFr1mzYj99+6cy5fKBDBqaSVR0CHp9x/dDUJCJW34ylpZmu8Ck0o81+qJe/OvFxezZdZya6kYio0JER5J8RIzVM2pLyyvFhc1V/HXffKwGM3d2u5hUazShRgs6RUeowcLK8n28cXQ5KdZopiYPEh23U9jdLVj0nvY4T1+xSpylB8GGSHqHX4JJF4S+xEirq14Wxf5qWekeNlYd5vGcK7G7nbx1dAWLS3Zh0RtpdTmINodwW9Y4Rsb2FB2105Q2NrC9tAQVsBgMNNjtKECzw4HZYODVrZsw6Q30iYnl0dHa25l+vLyjfUJLamuaOHq4lLvuvYQD+4r46x/mk9ktjsuuGMLQEVnExYejN+jYuO4IG9Ye4oFfTRUdWfoR4hLC6dk7kUMHSli/+hBTZwwWHUnyEbFtRbGWe4q/LtlJkN7Ei0NuxWowf+fXJyUOYFXZfvbUFQRsURxsiKLGfpyEoN7tc4pr7Z59Ro2OcqLM6Rh1FpqdNYQa4zo1yzkXxbfddht33HEHF110UWfkCRj764sw6QyEGYP4smgb6ysPMS15MOPis2lx2Xk7dyWvHllKYlAEGSGd+48sSkZEJD8fOoJDVZX84eKJmA0GGmw23tm1nXkH9jM0KZn8ulosBm2+Nyus1GZRXHi8mozMWPoNTGXmjRdQWdHA2/9dwSt/X0RCQgSXXTmYoSO68fo/lzF4eKbouNJ5MHpsLw4dKGHNqoOyKJbaxQZ7i2LtrhQbFD0Gne6UBTFAs9OGXXVi0gXu3dSMkOHsqV2ARR9GjDmLFlctK8r+QUJQNlZDFOBZQW50VhJPr07Ncs737hsaGpg0aRI9evTgj3/8I0VF2psacDbqHc2EGz1tE2vKD9A/Ip3bu40jMySO7PAU/jDgesw6A7tqCwQn7TzBJhOPjBpDr5gY7vjiM0oaG0gOC8OsN9AvLp6HLhjNi5Oncf+IkaKjdjmXW6Wkuh7QXk9xj14JXHXdcJKSPaOpYmJD+eVvLuezRY8wckxP3nljFQ/e/TZFhdXc+pPA77vXgtFt86V3bMmjqVHbxxtLHTp6irW7UpwdnkKtvZk3jn5DSUsNTU4brS471bZGtlXn8sTOjzhYV8zUpIGio3aaodHXY9CZ+Kb0RZaW/JVlpX/HoLMwMPIKLHrPEdfTU54lMSi707Oc8xLdnDlzqKqq4r333uOtt97iqaee4pJLLuHOO+9kxowZGDXYG3oqvcOS2VZ9DIC04BhaXSf3ReoVHTX2JoICsHH+RG5V5Zcjx5AUGsbdX37Oa5ddQWF9HfEhIe2/rtPg5IW6Ficut4rFaCAmrOuOsPQFZrORAYMz2n/udntOOQwONnP3AxO54+7xzLryZS69fCDW4FOvnkj+JT0jhtS0aI4XVLFx3REuntRXdCTh3G4Vl/v7Z9Huyi2huKqOKcMC98Ca9vaJFu2uFA+ITOeKlGG8m7eadRWHUFWVZpeNWnszLS47fSNSeXbAdfQMC9wDnoL04UxN+j8ON6ymypZLsCGG7qFjiDAlt39OkrVrnjN+0H3r6OhoHnjgAR544AG2b9/O//73P26++WZCQkK46aabuOeee+jRQ5sTBbxmZYxhWelu7t38BkOjurGh8hDvHVvN4KhMTDoDXxVtw6gz0D00QXTUTqVTFNyqyg19+xNuNvPsquWsPZ7PExeOa/91Lapu9uw4T4kNP+XkBS3x/P0VVFVFVeHg/mLq6pqZeeMFoqNJ59Hocb346J11rF11UBbFwG/fXEhMeDD3XN7xOHe63BjaNpu22h28s2Qro/tmEhoUmG8OvUVxRVPzaUc0BjKTzsB1GaMYFJXJ6vL9NLvshBgsxFvC6RmWSHJQFEGGwF48AzDrQ+gbcanoGD9uo11JSQmLFy9m8eLF6PV6pk6dyt69e8nOzubPf/4zDz300PnK6XcMOj1/G3wLrx1ZxpKSXRxtLONgfQmJQRGYdQbqHC08nnMFGcGxoqN2Om/hO7VHL3SKjoggC8OSUwSnEstbFKfGyZPsvBRFQVGgucnG9TePJjomVHQk6Twac1FvPnpnHZvWH8Fuc550lLcWHSqqYPKwXuh1niLY4XTx59nL+em0C0iKDqNXahyVdY1U1DYGbFHsbZ+wuZw02O2EmQPz73k2eoYl0jMsUXQMobyTJ0Dccc/n/KzkcDj44osvePPNN1m8eDH9+/fnoYceYtasWYSGel7EPvroI37+859ruigGiLGE8VjODJqcNhocLVTZGql1NKFXdPQNT20f1aYlU7r3YHxGJka99s54P1F7URwr5+9+2/BR3Rk2srvoGNJ51rNPIrFxoVSUN7B1cy4jxwTu5J2z4XS5abU7AU8bmaLAsu2HueyCPiRFhxFmNRNkNlFR10RWYrTgtJ0jyGgkxGii0WGnsrlJ00UxgFt1o6BocsUcaJ88IdI5F8WJiYm43W5uuOEGNm3axMCBA7/zOZMnTyYiIuI8xPN/ekVHmDGIMGMQydYo0XF8glmj0yZO1FEUR4gN4oO8K8ZSYFEUhdEX9Wbep5tZu/Kg5ovitLhIjpVWw4AsdIpCbWMrZqOBrYcKGdozlcNFlVhMBlBV0VE7VUxwMI21diqbm8mK1PZrZCCfW+Avzrk6+fvf/87MmTOxWL5/gHJkZCTHjh37UcEkKZBVN3lWiGRRLGnJ6LG9mPfpZtavOYTL6UZv0G4RcGHfTBZuPkCE1Uxjo52X560lOz2evfllXPX0W5TVNnJRvyxyMgJ730ms1UpebY2mT7WTfMc5F8U333xzZ+SQJM1wutzUtHh7iiPEhhFs0Zc7KMirZOKl/cnsFpjzuqUO/QakERYeRH1dC7t3FjBwSIboSMJMH5XD0ZIq3vh6MyacxMVEc/+VF2IxGVi0+SCRoUFMG9GHkADtJ/aSp9pJvkTex+5CP934GgDP9J9JYpA2N1j9ftUKNhQWcPfQ4VzWM3BHDZ1OeW0jbhVMBj3xEdreTLbg8+3s31tEYlKkLIo1QG/QMXJMT77+aidrVx7UdFFsNhr49fUXc8mg7sz9egU3zxhH73TPqnCvlDjcqto+iSKQxbZtttPyqXYH64v56775RJqD+fOgm0THEcLptvF54RPY3c3MTHsRg07MxI3A/47zEaqqsru2gB01eeg13Dd0tKaKfZUVtDidoqMIc7yiFoCk6DBNj2OrrGhg/17P4T8jL9R2f6mWjB7rOZFq7aoDbbvNtcntVqmoa6RHcjTD08PpltSxmU6nUzRREEPHqXZaXil2qW521uazr067h6HpFSOFzTsobz2E3S3usaCN7zof0Oyy41I9g9rDjEGC04jjXQ3wzqfUosIKbR7v/G3rVx8CoE9OMjGx2l4x15Ihw7KwBBmpKG/g0P4S0XGEKa6q48F/fc4H3+wAPG1VWiTbJzpqggZHi+Ak4iiKDpPOc9fA7hZ310AWxV3E+2A3KnrMAXyG+ZlUtRXF0VbtjaPzKqryHO+cHBMmOIlYmzccBWDURZ17lr3kW0xmA8Mu8Izc27zxqOA04oQEmUmMCiMyxFMQKQq43G5cbnf7KY9aECPbJwg1eB4DLS47Drd276IadZ7rIItiDbC3PdBNeoNmZxACtLo818Gq4bFszTbPkd+BOpD/bFVVNgCQkRX4B9hIJ0vPjAE6HgNaFBESxF9/djlXX9gPAL1O1/5Dp9POrNogg2eRyK7hljqzvuP10OF2CUwill7xPBbcqrjHgnYrky7mVD0PdIOi7UMrHC7PddDy4R3egf0Wk7a//errPXdPwsK0206kVeERntXBulrt3i4+UU2zg2Xbj1BYWU9Vg+fI44yEKCYP6UlkaGDfVTO29U7b3dpsH4GT6wKnqt3roOC5Dm5V3BsDbb8qdyFvP7GWN9kB2NuKYpOGi2Kbw1MUm43a/varr/XcIgsLl0Wx1oSHe4ti7faReq3Zc4yv9lZiyN2KxWQgyGzCZNCzcX8B/5i3hqdunsjEwT0DduXY1LZKandpd6X4xLrAJbAgFE3X9uZARdwbA22/KnchZ9u7YINOu8Wgqqo42q6DUcPXQRbF4HC4aG72tJHIolh7wiM8/+b1Gl8p3pNXynMfLSfGonDHlGFkJERjtZjQKQpmo55PVu7kP/PXkxEfRc+UwGwzMuk8BaFDoxsNwXPao17R4VLd7bWCFnlP9JMrxRrgbZ/Q8kqx44Rvdtk+AWYNt080tLVOKAqEhMqiWGvCvCvFddrdXAXw3tKtDO2ZwogYJ2P7Z2E0nrwJ+ydTR7B022GOFFcGbFHsfS3Qci8t0F4Uu2T7BG7EPRa0W6F1Me8D3aDlotjV8UA3aWQG56l4V4otGl4prq/zFMUhoUGantWsVe09xXXNmpmycCqtdifRYd8/nrK2sQWLyRDQ49q8dw1PfH3QIm9t4JTtE3KlWAucbe+Ctdw+ceJKgLbbJzzXQcvtE96VYtk6oU3ef3e3S6Wp0UZIqEVwIjGG9Exh8ZaDNIa6GdnQQmgI6BSFphY7h4sr+ce8NegUhaE9U0RH7TTejXZabp+AttrA1VEraJGubZ1WFbhart1X5S7mlBvt2jfZ6RUFvU6716HV7gC03T7hXSkOlZMnNMlsNmIJMtLa4qCurlmzRfH0kTkcL69h8eZ9HH9zESjQ3Oqgqr4Jm8PJkJ6p3H3ZSJKiw0VH7TTtG+3cLlRVDdgNhWfirQ003T6hiG+f0O6rchfraJ/Q7gqpdyVAy/3E0LFSrOX2iYYGOY5N6yIirJS21FFX20xySpToOEKEB1v41cyxWFoqcIfG4lIhxGIiOSacnikxpMVFEhLg88xPbKVzuN2anUzkrQ20PJJN19ZTrMr2icDX3j6h5ZXitmug5dYJkNMn4MSVYm2uEEqezXalJXXtjwUt6xZjZerUMd/ZaKcFJ74eOFwuDRfFcqXYF1aKtVuhdbH26RMabhtwtM8o1u41AHl4B5zYUxzYBxNI36/jAA9tT6AAz7hK7xHPJ35MC068c6jlCRTe2kD2FIvtKdZ2ddKFZPvECafZaXilWFVVuVJMx0qx3GinXd5/+3qNj2WDtjm1bUc8n/gxLdArCt6/qZY323W0T2i3KFZ8YPqE0KL43//+N/379ycsLIywsDBGjhzJwoULRUbqNO2Hd2i4KJan2YHd2fHNrumiuF5utNM670pxbY0sirVMUZQTTrXTbkEoe4pPGMmm1faJlJQU/vSnP7Flyxa2bNnCxRdfzIwZM9i7d6/IWJ3C++7PoOX2CbfcaOdtnQCwmLR7HdrbJ2RRrFne1hm5Uix5x7LZNdw64L1L4NLyiXaIXykWulR1+eWXn/TzP/zhD/z73/9mw4YN5OTkCErVOVxyJFv7KoCWi2Jv64SigEHD10FutJO8Rz3XafyoZwlM8gAPeXgHoLRdAxU5pxiXy8Xs2bNpampi5MiRp/wcm82GzWZr/3l9fT0ADocDh8PRJTl/KJvDDoAexeezAu0Zz2fWVrvnGhgU/7gGnaGx2VMAGHXavQYA9fWe1UFrsOm8XofOeNxKnXNdQ0I9o8Zqa5s0++/lcrtZu+cY+0ubGN/aKjqOMIa2leIWm02zzwf6thv3Nj+oZ6CTrq3q6S53OO2d8jg4G8KL4t27dzNy5EhaW1sJCQlh7ty5ZGdnn/Jzn3vuOZ555pnvfHz58uVYrb69i323vgQMUFZSxoLjC0THOWtLliw5b19rd3MjAI319SxY4D/X4Hwqa/C8qTPqdef12vqb2pomALZu3cDho6bz/vW1fG070/m8rkXHPY+BkuIKzT4fuFWVZ78+BkB61BKsGm2pcrZ6nhdXrllDnvn83z3yh+eDWmMN6GDzti00uY+JjnPWzue1rUgohXDYt38PRTXn73WhufnsW7SEF8W9evVix44d1NbWMmfOHG699VZWrlx5ysL48ccf5+GHH27/eX19PampqYwfP57o6OiujH3OavPXsuRIAWnJKUzNmSo6zhk5HA6WLFnCxIkTz9/szCOHYMki4qNjmDrV969BZ9iTV8p/1n6KQaec32vrR2w2B688vxuA6TMuxRp8/g4n6JTHrdQp17Ugr5K5H+Ticuo0+3wA8Kel/8LhcnPBqDGkxEWKjiPEyx++S3VtDUNHjGBYUvJ5+7r+9Hzw9fYKCqob6D9wAJMS+ouOc0adcW2Xle/nYMNBevXuyeDI8/ec4O0qOBvCi2KTyUT37t0BGDp0KJs3b+all17i1Vdf/c7nms1mzObvvoAajUaff8C33RXAqDf4fNYTnc9r624bvGM2+Nc1OJ+cba1SRr3iF4/bzlBb42kh0et1hIUHd8roKa1e2852Pq9rVHQYAI0NregUPXqDNvdbWExGHC02XCqafcx6JxK5FaVTroE/PB8YdZ5yTNV1zjXoLOfz2hp0nq+jnOdrcC5fy+eehVRVPalvOFB4X/hVtDGQ/VS8tY9bI0PpT0XX/jjQLu/jQEXF7dLyldA2V9umKkWnaPp50ft8qJGxxKeklYNKpNPreB4Q93gQulL8m9/8hksvvZTU1FQaGhr46KOPWLFiBYsWLRIZq1OY2t4F2t3OM3xm4Apqe7fW4vT9TQSdJdTqudPR6tDu2J2o6FCMRj0Oh4uKinoSEiNER5IEKCqsASAhIQKDQZu9tC63m6ZWzwbk0CDtTmJpbntNCPajFdLzze72XAOzTvgNfGHcqqc+0iviHgdCr35ZWRk333wzJSUlhIeH079/fxYtWsTEiRNFxuoU3qLY5tJuUWw1eB7ozX6ws7azeIviFodLs6sjOp1CXEI4RcerKS2ulUWxRhUdrwYgOTVKcBJxGpo77oqGWs//hlN/0dL2mhCk4aLYWxuY9dq9Bi61bUqXVoviN954Q+Qf36W8D3S5UqztojjM6lkNcquemcUmkzZfCBMSIzxFcUmt6CiSIN6iOClFm5vLAOrbimKTXtH03HLva4JVy0VxW22g5ZVil3elWCfuceBzPcWBytzePqHdgtAq2yewmo3odZ7mwfrmwOudP1sJSREAlBTViA0iCVPc9m+fnKLllWLPbGKLUbsvxW5VpcXpKYa0vFLsrQ1Mmi6KPddAjyyKA55sn5ArxeDZcBka5GmhaNBwUZzYVhTLlWLtku0THW+Mg4zaXSVudXa8Jnpb7LRItk+cUBTLleLA532g2zTcPnFiT7FW+2mho6+4vkW7RbF3pbi0uE5sEEkIVVUpLvS2T2i5KG5bKdboODo4eZFErhTLlWIQ21Os3e/ELtaxUqzdVVJv+4RbVbFr+Ix7uVJM++Y6uVKsTVWVDdhsTnR6hYTEcNFxhPG2TwRpuH2i2eHZXBVkMLSPrNSi9pVigaukonmLYp0sigOfWY5kO2kThZZbKLwrxd4XRC3ytk9UVzXS2qrdx4JWeVsnEhK1O44NOtontNxTLDfZeXjvIpv0cqVYrhRrQMf0Ce0WAHqdrv3komYNb7YLbZtAoeWNdqFhQQSHeN4cyM122uOdUazlTXZwQvuEhnuK5Tg2cKlunKrn7qmWp0945xQbZFEc+ORGO4/2CRQaXikOa2ufaNRwT7GiKO29pLIo1p72TXYaL4ob2jfaafel2LtAouVNdvYT6gLZPgE6RdwbA+1+J3YxudHOI6jtia9Jw0Wx3GjnkZzsmU/rXTWUtKOoUE6eALnRDuRKMZxcFxh12r1rINsnNMR7S8SpunCp2j3iV64Uy412Xt5DG4qLqgUnkbpacdsbIS0f3AFyJBvInmLoaKvUKzoMsihGr4g71EoWxV3kxDErdg23UFjlrOITNtppvSj2rBIWy5ViTXG7O8axaX2luEFutGtfINFyUextq7RouHUCTiyKZftEwDuxKNZyC4VcKe5YKdZ8+4R3pbhQrhRryYnj2OITtDuODTraJ7TcU9wk2yc6ZhRrePIEgMst2yc0w6DTo1c8l1vLEyjaT7XT8PSJMLlSDHSsFJeX1WO3a/eNotZ43wRpfRwbnDCSTcs9xXKjXcc4Ng1PnlBVFTee6yCLYo0wywkUJ5xqZxecRBw5p9gjMioYS5ARt1ulrESebKcV8nhnD5fb3T6BRvYUa719Qp5m522dAFkUa4acVXzCSrFsn6ChRbtvDODksWyyhUI72mcUJ2u7KG484ftf9hRrvX2i7TQ7vXavgSyKNah9VrHsKabFod1r4F0ptjmc2DV8HQCS5Fg2zZHj2Dza+4lNRvQ67R5vLFeKTyiKNbxS7D24A+ScYs3wDuVudWl3hTDY6Bm10mjXbj9tiMWM0vYaWN3QIjaMYClthdHB/UWCk0hdwe1WOXygBJBFcU3b935YsFlwErEa7Z7XQ6tR3Bgu0Vrb2ie0fHCHU/U8DnTo0Sni2olkUdyFwk1WAOrszYKTiBMXHAxAWVOT4CTi6HQKUVbPk9+xUm23DYy6qBcAq1ccoL5e228QtGDb5lzKy+oJCbXQf1Ca6DhC5ZZWAZAWGyE2iGBlTY0AxLe9NmhRrd3zeuitEbTI5vY8Dkx6sY8DWRR3oUiT5x+72q7dgjAxNBSAkoYGwUnEigvxrIocLa4UnESs3tlJZPWIx2F3sXThLtFxpE624IsdAEyY3BezWburYgBHiz1FcbekaMFJxCpp9LwWJIaECk4iTk1bTeCtEbTI5vIUxWad2MeBLIq7kPcBX6vlorjtic/7RKhVcaGeovhI2wujVimKwmUzBgPw5dxtqKoqOJHUWWqqm1i/+iAAU6cPEpxGPO8b4m6J2i2KXW43ZY2eYsi7YKJFsigGm8tTE1j0sijWjI6V4kbBScTxFsXlTY04XC7BacSJC/Gskml9pRjg4sl9sQQZOV5Qxa4dBaLjSJ1kycJdOJ1uz92B7vGi4wh3pMjzvZ+VqN3e6ormJlyqil5RiLVqtyCsaasJIjRcFLe2tU9Y9CFCc8iiuAtFmjz/2FpeKY62WjHqdKhAuYb7itvbJ0qqcLu1vToaHGzm4ol9Afhq3jbBaaTOoKoqC+dvB+BSuUpMTWMLlfWevSWZCdotir1tdHHBIeh12i1HvCvFUSaxBaFI3pVi2T6hIbKnGHSKQoJsoSDKasRk0NNqd1JcJQ+umHaFp4Vi9fL91NZo9/sjUO3aUUBhQTVBVhPjL8kRHUe43La2qaToMIIt2p264H0NSNJw6wR0FMWaXin2FsVypVg7ZE+xh+wr9kygyIj3zOg9qvG+YoCevRPp2TsRp9PN4gVyw12gWfi5Z5V4/CU5BFm1WwR6HWlrm+qeFCM4iVjFDXKTHZy4Uqzdolj2FGuQtyiu0XhRnBDqeSeo9QkUWW0bbLS+2c7Lu1r81efbNN9SEkjq61tYtWI/IDfYecnJEx6lcpMdTreLeodnHKWmV4rd3ukTcqVYM7w9xXWOZtyqW3AaceRKsUe3tg02R+RmO8CzimgNNlNcWMOOrcdEx5HOk2WLduOwu8jqEU/PPomi4/gEuVLsIcexeeoBFRUFhXCjhucUt7dPyJVizYhoG8ztUt3UO1oFpxGnvSjW+kpx2yqRnEDhEWQ1MWGyZ8Pdl/O2C04jnQ+qqrLgC8+/5dTpg1AU7R5n7KWqavvdIa2vFHtfA7S8UuxtpwwzBmHQiTvJTTSbnD6hPUadgRCDBegYwaJF3k0VcqXYs1KcV1qDw6nd8XQnuqythWLdqoNUV2n3eyRQ7N9bRF5uBWazgQmT+oqO4xPKaxtpbLFh0Ok0PXkCOl4DEjS8UlwtZxQD0CoP79Am2Vcs2ye8EiJDCbaYcLrdFJTXiI7jE7K6x5PdNwWXy82iL3eIjiP9SAvbVokvurgPIaEWwWl8g3eVOC0+AqNBuyuDDpeL8rYjnpM0XBTXyqIYOHGjnVwp1pSOoli7q2DeVYHK5mZsTqfgNOIoitJ++1Rutusw7QrPZqyFX2zH5dJu772/a2qysWLpPkBusDtR+0l2Gu8nLm9qQgWMOh3RVu320noP89JyUayqanv7hOwp1hjvZjstrxRHBQVh1hsAKGvS7psD6OgplGPZOoydkE1IqIXSkjq2bsoVHUf6gZYv2UNrq4O0jBhy+qeKjuMzvCfZddd6P/EJrRM6Dfead6wUa/fgDqdqw6U6ADl9QnNk+4RnhTQhRI5lA+ie6FktkpvtOpjNRiZe2h+QJ9z5swVts4kvvXyg3GB3go5NdtpeKZaTJzxkTzHY2vqJFXSYdGLvGsiiuIvJAzw8OjbbyZVikO0T3+adWbxh3WEqyusFp5HO1eGDJRw+WIrRqG9/gyOBy+3mWKnne13z49jk5AlA9hQDtLo8z/EWfajwN9CyKO5icqXYo2OznbYLHu8LY2FlLS12h+A0viM9I4Z+A9Nwu1QWzd8hOo50jrxj2EZf1IvwCO32i35bUWUdNocLi9FAckyY6DhCdbRPaLdtAOQRz9Axjk106wTIorjLRciNdkDHZjutt09EhVmJDAlCVeFYSbXoOD7FO55t4fztuJxyw52/aGmx883XewC4dIbcYHci7x2hzMQo9Dptv/yWyCOegY5aQNsrxb5xcAfIorjLRbU101drfaVYzipu5+0tPFwk+4pPNGZcb8IjrFSUN7Dym32i40hnacmCXTQ320lMimDg4AzRcXxKxyY7bbdOABS3Pfcnabx9okZutGvvKRY9jg1kUdzlYi2eW2blLXWoqio4jThp4eEAHK2R83lzMuIB2HrouOAkvsVkMjD9qiEAvPzXhZQUyceKryspruGNf38DwBUzh6PTyQ12J9rS9j3eJz1ecBKx3KrKsRrPnbG08AixYQRqdtqod7QAHbWBFjW7PM/tQfoIsUGQRXGXSwyKBKDJZaPWod3V4j4xcQDk19bQ7NB2L+2o7AwA1u7Nw+3W7hulU7nxtjFk90uhqdHG756Yg92m3bnWvs7lcvP87z6nudlOvwGpzLhmqOhIPqWxxcaOI8UAjMnJEBtGsON1dTQ5HJj0erIitXuqX1GL541BmDGIMGOQ4DTiNDo9d1BCDOLvoMiiuItZ9EbizJ53hEXN2l35irFaibUGowIHKytExxFqYLckgi0mahpb2F9QJjqOTzEY9Pz22asIj7By5FAp/3rxa9GRpO/xyfvr2burEKvVxKNPzkCvly8vJ9p4oACn2016XCQpsRGi4wi1v+05v2dUNAYN91Z7a4DkIO2+MQBodLQVxcZYwUlkUSxEstXzDVDYrO0xXH1iPN8A+zVeFBsNekb0TgNgzZ5jgtP4nti4MH791AwUBb76fDtLF+0WHUn6lsMHS3j7vysBuPfhySQkRogN5IPW7c0DYHTfDKE5fMH+ynIAeseKL4JEKmqrAVKsGi+KnZ4aQK4Ua1SK1TObtqhZ29MGvE+I+zReFAOM6ZsJeFoopO8aOqIbs26/EICX/ryAvFz5mPEVNpuDPz3zOS6XmzHjesu5xKegqmr79/bonEyxYXzAgbbnfG8bnVYVttUAyZovimX7hKYlWT19xYUaL4q9K8UHKsoFJxFvdFuP4d78Uqrrm8WG8VE33X4hg4dl0trq4HdPfEpLs110JAl4/V/fUJBXSVR0CA8+OlX48H1fdLiokvLaRiwmA4N7JIuOI9z+9qJY2yvFHUWxdo/8dqlOmpye6yDbJzQqJahtpbhFFsUAB6oqcWt4EgdAbEQIvVJiUVVYtz9PdByfpNfr+PVTVxAdE8rx/Cr+/vxXmp7g4gu2bspl3uzNADzyxOXyoI7vsXavpy1qWK9UzEaD4DRi1dtsFNZ7Dm3SelFc3FYDpGi4p7jZWQ2o6NBj1fr0ieeee45hw4YRGhpKXFwcV1xxBQcPHhQZqUt4+4e03j6RFRmFSa+n2eGgoK5WdBzhRntbKPbkiQ3iwyKjgvnts1ei0yssX7KXL+duEx1Js+rrW/jL7+cDMP3qoQy7oJvgRL5Ltk508LZOJIaEEm6xCE4jjtPtorjFs9FOyz3F3taJYEM0iiJ+nVZogpUrV3LvvfeyYcMGlixZgtPpZNKkSTQ1BfaoMu+tkgpbPa0u7Y4jM+h09Iz29BBpfbMdwJi2DTjr9+XhdMkT3L5P3wFp/OTnFwPw75cWc3B/seBE2qOqKi/9eQFVlQ2kpkdz170TREfyWQ0tNnYe9TxGR2t8FBuc2E+s7VXistY6XKobo6InRsMzin1p8gQILooXLVrEbbfdRk5ODgMGDODNN9+koKCArVu3iozV6cKNQYQYPO+Qtb5a3N5CIYti+mYkEmY1U99sY09eieg4Pu2aGy5g9EW9cDhc/P63c2iobxEdSVOWLtrNqm/2t7e0WCxG0ZF81sb9+bjcKhkJUSTHhIuOI1x7P7HmJ094XvuTrJHofWCFVJSOTXa+0VftU81NdXV1AERFnfpWgs1mw2aztf+8vq0vyeFw4PCzAyCSgiI51FBCQUMFaRbfu3XivZ6dfV17tg1u31te5nf/hj/U6a7tiN5pLNl2mFW7jpKTpu2d2WfywKNTOHqkjNLiWp7/3ef83x+uwuXyHO6hlcdSVznxMVtWWscrf1sEwKzbR5PZLUZe79NYvTsXgJG9U095nbrqudZX7GvbWN0jMqrT/86+fG0LGj1vDpIskT6Z70zO17Wtt3lm81t10Z12Hc7l6yqqj+xUUVWVGTNmUFNTw+rVq0/5OU8//TTPPPPMdz7+wQf/3959h0dZZv8ff89MJr33hDSQEnrvfREUEEXFAopt3V13bYhfRXd1LT/7rsqurrrorh1hbYiCUpQivYSEDiGkkUJ6b5OZ5/fHZAIIIkjC/czMeV0XlxcxysfHycyZe85zzkJ8fZ3rBo/PPdI5aCpjYnMCQ6wxquMoc6Shnn8dzyPE5MFf45JUx1EuLa+aJXuKiQ7w5A8j41TH0b2iwno+/ygDq1VjxLhoBgx179On9mazaSxZlEl+bi3RHXy5ZlYnWeV8Fpqm8craHGoarcweFE2ncOd6nWprNk3jkdyjWDSNR2MTiDR7qo6kzA+mHDZ7FDCoOYrLrEmq4yhTHPMdtYHphBSNIqi8f7v8GXV1dcyaNYvKykoCA8/eqqKbk+J77rmH3bt3s2HDhp/9nkcffZS5c+e2/r6qqor4+HjGjx9PWJg+jt7PVfaRVRzM3kBgUjRTuk1RHec0FouFVatWMXHiRMzm9vtotLKxgX/9dwHl1mZGTZhAoJdXu/1ZenG2azusuo6v9v6XwuomBo8cQ0SQv6KUziMyPJXXX17Blh+Pc8WVY8g/fqDdH7fuxvGYra0IIT93Lz4+njz799nExAarjqZrh48VU7MiEx9PM7+feTWeZtNp33Oxnmv1IKO8DMuiDHw8PJg97UpM7bzNTs/XduPuxVBcwIju/ZmSMFx1nPPWVtf2y7w11DbAoN6j6OI/tg0TnuDoKjgXuiiK7733XpYuXcr69euJi/v50zEvLy+8zlA0mc1m3T3gf0mCv/1Eq6ChQtfZ2/vahpvNxAYEkF9dTUZlBUM6uM/p6JmubVRoED0To9mbVci2w3lMH9FLUTrnceU1gziwN4/vV+zl788uZ/rMOKd8TtC74uP1fP7RPgD+OGciCYlyKv9Lth46BsCQ5Hj8fM8+acEdHrNHKuzTFrqFReB9EQ9A9Hht8xvs1yIxIEJ32c7HhV7bWqu9pzjYK7rdrsP5/HuVdndrmsY999zDF198wQ8//EDHju4zrsaxwcbdZxXDyeueZYkHnLhDfaOsfD4nBoOB+x+eQmLHcMpKa1j5dS5Wmd7Rppoam1n1TS7NzTZGjunG5Vf0Ux3JKTjWtsvUCTu5yc5O07TW13533manaRq1zfZV13rYZgeKi+K7776bjz76iIULFxIQEEBhYSGFhYXU17v+neQdWoZ159eVY9Xc+wXcserzQLFMoIATK5+3HMjBYrUqTuMcfHw8efzZGXj7mDmWXcvH7/18G5Y4f++9vY6ykkZCQv2YM0+21p2LqtoG9mTap8iMkPnEwImiONnNx7FVWuqobbYPDYh148Ud9dZKrJr9Jjg/sz5aYJUWxW+++SaVlZWMGzeOmJiY1l+LFy9WGeuiiPIJwsNgwqJZKW44934XV5TcelIsRTFA94QoQvx9qG1oap1vKn5ZYlI49z54OQCLPtjM9i0ZihO5hpTtR1ny6Q4A7n94MsEhfooTOYctB+2j2DrFhBIb5r5zaE92sNhRFOvjVFAVx3rnCK9AvE3O2zpxoWqa7Y8HX1MIJoM+roPy9okz/brttttUxrooTAYjMT7BAByrK1UbRjHHR2mHS0tptrn3qTmA0Who/bh1g7RQnJfxE3vQq5/95OWFp5ZQdLxScSLndvLWul79QhkyXLbWnSvZYneq8vp6CmtrAEgOc++TYsdrvju3TgDU6Kx1AhQXxe4urmWzXV7Lqkd3lRgUjK/ZTKO1mawK974WDrLy+dcbNSGGzt2iqaqs55nHvqCpsVl1JKekaRqv/e1bSoqriY0LYeR49x0deb5sNo3NrUVxktIseuFY0BQfGESAG0wZOhtHP7E7r3cGqLHYHxP+ZimKBSd+ILJr3bttwGgwkNyy7nn38ULFafRhePdETEYDGQWlHMkrUR3HqXh4GPnzU1fhH+DNgX15PDp3IbU1DapjOZ33317H2u/3YzQZeOixKzB7ysvFudqVkUdJVR2+Xmb6d+6gOo4u7C6yP7e7+012ADm19hNSx8GYu6putt9c7++hn8eEPMsp1CXAfvKSXiWF4OCWUWybj+UqTqIPgX7ejOtr/6j6f+vSFKdxPtExwTz1wnX4+nqye1cOD979IeVlNapjOY3PPtnSerPiPXMvp1v3WMWJnMtn63cDcNngbpg9Tp9N7I62tDy3D4l1n7GbPye9yn4DZpeAaMVJ1Kposo8sDPbUzxtHKYoV6hpoL4oPV+ejk8WCyoyITwBgU26O218LhxvG9QNg2bYDVNc3nv2bxWn69E/k5X/dQnCIHxnpx5nzh/cpyJP2nJ9jtdr4ce1B7v/9e/z7tdUA3HHXeKZdPVBxMudSWlXL97vSAbhuTF/FafShyWple34eAMNbnuvdVaPVQmat/YS0a4B7tySVtxbF+nmjJEWxQp38ozAZjJQ31VLc6N4TKAbFdMDTaKKgpprsygrVcXRhYJc4LokJo77RwrIt+1XHcUqdu0Uz/9+3Eh0bTH5eOXPuep+jR46rjqUrDQ0Wln6+gztufJOn//wZ+/cew2w2ccudY7hx9gjV8ZzOko37aLba6JUUTXJ8pOo4urD7eCF1Fguh3j50C9NP/6gKR2uKsGo2As0+RHoHqY6jjKbZqGiyv1EK8YxXnOYEKYoV8jaZSfSzP0Ecbvk4xV35mM30j7G/a96Um6M4jT4YDAauG2s/afrfujQ5Qf+VOsSFMv+tW+l4SSRlpTXM/dMH7E2Tx1h5WS3vvb2Wm67+J6+9/B35eeUEBHgz69aRfPTFvcy+Y4zMIz5PVpuNzzfYWyeuHyunxA6bj9l/3obFxWN088fU4Wr7a323wFi3/vmqbi7GqjVhxINAc5TqOK2kKFasW6C9V+9QtcyjHR5n/1jN8QQqYOrQ7vh5e5J1vJxtB+W6/Fph4QG8/K/Z9OwTR21NI/PuX8iWjemqYymRm13K/BeXcdM1/+TjdzdQVVlPdGwwd8+9jI+X3MftfxhPaJi/6phOaeO+LArLqgny82biwK6q4+jG5lx7P7G7t04AHK6yv9ZL64S9dSLIMxajQT9991IUK9a19WY79z4pBhgeb/8IZcuxXGxyKgqAn7cnVwzrAcgNdxcqINCHF+bfxLCRXWhqauaJR/7Hqm93q451UWiaxp7UHP768P+4Y+abLPtqF5YmK8k9Ynn8mWt5b/GfmD5jMD4+nqqjOrVPW35GrxzeEy+zh+I0+tDQbCGlwF4IDo/Tz8fkqjg+FXYciLkrx012ITrqJwaQn1rFujpOiqUopm9UDL5mM6X19RwqLaG7m68CdbhuTB8Wr01l3e6jFJRVERMq27F+LW9vM088P4NXnv+GVd/u4aX/t5SK8jqumzVMdbR2YW22sWH9QT5buIWD+098GjV8VFeumzWMXn3j3foj3LaUV1LJpv1ZAFw7urfaMDqysyCfJpuVaD9/OgaHqI6jlE2zkV7tmDzh3ifFUhSLM3KcFOfVl1FjacDf7K04kTqeJhODYzuwLjuLzbk5UhS36BQTxpBu8Ww7lMtn63dz7/RRqiM5NQ8PE//3lysJCvbjs0+2sOD11ZSWVDNj5jDCIwJUx2sT9XVNrFiWxueLt1KYXwGA2dPEpMl9uPbGYcQnuvd81Pbw+Y+70TQY1j2RhEj3Lv5OdnLrhLu/ATtWV0adtQkvo0fr/UTuqrzJ/rjQ0+QJkKJYuSBPX6K9gylsqOBwdQEDQt17JejwuATWZWexKTeHO/rLKCiH68f1Y9uhXL7cuJffTx0mH81eIKPRwO/vmUBwiC/vvPEDny/ayueLthKXEErfAUn0G5BI3wGJhIQ6V29taUk1X322g2++3El1tX1hSWCQD1deO4grrxlESKif4oSuqcnSzJJN+wD7JzviBMc9ItI6ceImu0sCovEw6qePVoXy1pNifT0u5JVVB7oGxlDYUEF6lRTFjnnF2/KO0Wyz4WGUtneAMb07ER0SQGF5NatSDnPF0B6qIzk9g8HADTePICIykM8WbSXjcCHHcso4llPGsiUpACQkhdN3QCL9BiTRp38CwSH6LCqzM4v57JMtfL9iLxaLFYDYuBBm3DiMiVP64O1tVpzQta3elU5FTT1RIf6M7t1JdRzdqG5sbN1S6riR2p3JTXZ2zbYmqiz20ZhyUixO0zUghvVFB2QCBdA9PIIgL28qGxvYW3ScftHu/eTh4GEycu3oPvxr6Ub+tzZNiuI29JtJvfjNpF7UVDewOzWH3SnZpKZkcfTIcXKySsjJKuHrL3YCkNQpgn4Dkug7MJE+/RIIDPJVllvTNHbvyubThVvYuulI69d79I7julnDGD6qKyaTvKm8GBwb7K4e2RsPueattufnYdU0EoOC6RAo90I4brJzLO5yV5WWAkDD0+iLrylYdZxTSFGsA3Kz3Qkmo5FhcfGsyEhnY26OFMUnuXpkLxYs38LerEL2ZxfSI9G9V4S2Nf8Ab0aM7sqI0fZRWlVV9ezelU1aiv1XZkYRWUeLyTpazJLPtmMwQMfOUfZWi/6J9O6XQECgT7vntDbbWL/mAJ9+soX0g/bnDIMBRo5NZsbMofTsra+PI13d4WPFpGbkYzIauHpkL9VxdEVaJ051qKV9omuAe0+ecPQTh3jq70ZfKYp1oFvLu8bMmiIstmbMRvf+3zK8pSjefCyHuwcPVR1HN0IDfbl0QBe+3XaQxevSeOoWKYrbU2CgD6PGJjNqbDIAFeW17EnNITUlm7SULLIzSziafpyj6cf5YvE2DAbo3DWaPv0T6Tcwid594/Hzb7sbZ+tqG/num1Q+X7SVouP2DZheXh5MmtqXa28cSoe40Db7s8S5c5wSj+/XmYhg5+pBb2+bWxYxyXxiKGmsprSxGgMGOgfoZ1mFChU6XO/s4N7Vl05EewcTaPahylLP0Zoit59f6Ogr3pmfT2NzM14e8jB1uH5sX77ddpCVOw7xwDVjCPZv/5NJYRcc4sfo8d0ZPb47AOVlNezelUNqShZpO7PJzSkl/VAh6YcK+XzRVoxGA126xdC35aa9Xn3i8fXzOu8/t6S4iiWf7uCbJTuprWm0Zwn25arrBjPt6oEEBatr4XB3tQ1NLN92AIAZo+UGu5OV19ezv6QYsG+yc3eOXQQJfmH4epz/84ArKdfpODaQolgXDAYDXQJi2Fl2lMNVBW5fFF8SEkqknx9FtbWkFOTLKcNJ+nSMITk+koO5RXy1aR+3ThqkOpLbCgn1Z+yEHoydYO/vLimubm23SE3JIv9YOYcO5HPoQD7/+3gzRpOBbsmxrUVyzz7xZ12WkZlRxKefbGHNyr00N9sAiE8IY8bMoUy4vDdeXnLznGrLtx6grtFCUlQIg7tJ4XeyLXn2j8i7hoYR4avPG1QvpsOtrRPSEniifUKKYvEzurYUxYeq8pmGe48iMxgMDI9L4KtDB9h8LFeK4pMYDAauH9eXpz9cxafr07j50gGYZEKHLoRHBLTetAdQXFTV0o+cRWpKNoX5FRzYl8eBfXks+nATHh5GuvWIpW//RPoOTKJn7zg8PT3YtSOTTxduYcfWo63/7t79Erhu1jCGjuiC0aivHjx3pWkan/5ob524dnQf3fVGqiatE6dqnTzh5odeABVNeYC0T4izcJwOO95NurvhcfEtRXEOMFJ1HF25bFA35n++nvzSKjbuy2KMjIDSpYjIQC69vDeXXm7fbna8oIK0Xdn2nuSdWRQdr2Lf7mPs232Mhe9vxGw2ERrmz/HCSsA+S3nUuGRmzBxG954dVP6niDNIzcjnSF4J3mYPpg2TaTA/tflYy9IOaZ0ATtxI7+4nxQ3WauqtFYAUxeIsHCNa0qsKsGk2jAb3Pv0bGZ8IQNrxQmqamvD3/PmPmd2Nj6eZq0b04sPVO1m8NlWKYicRFRPMpJhgJk3pi6ZpFOa3FMk7s0hLyaakuJrjhZV4e5u5/Ip+XHPDEGI6yGY0vXLcYHfZ4G4E+rnvJtIzOV5TQ0Z5GQZgaAcpiuuaG8mtKwVkHJvjlNjfIxxPo/7uiZGiWCeS/CLwNHpQa23kWF0ZCW6+ArJDYCAJgUHkVFWyNS+XCR0vUR1JV64b04ePvt/J5v3ZHC0opVOMrO11JgaDgZgOIcR0COHyK/qhaRr5eeVkZ5bQq288gRdhtJv49Yorali9Kx2QDXZn4hjF1jMyiiBvecNwpLoQDY1wrwDCvFxjlfyvpdf1zg7ufRypIx5GU+vHKrvLsxWn0YexSfbtft8dSVecRH/iIoIZ17czAPO/+FFxGnGhDAYDHeJCGTG6qxTETuDt5VuxNFvp2ylG5oWfwXcZ9ufssYlJaoPoRFqF/TW9R5A+C8GLqaTRfq9EqGei4iRnJkWxjjhWPO8qz1IbRCemdukGwMqMIzQ2NytOoz/3TR+Fh9HIhr2ZbN4vb6SEuBhyiipYsnEvAPdMH6U4jf5UNzayNisTgCktz+HuLqXMfj36h3RUnES9ogb79s1I786Kk5yZFMU64iiKHT9A7m5QbAei/PypbmpkQ44UfT+VGBXCdWP7AvDq5+uw2myKEwnh+t76ehPNNhsjeyYxsIuc/P3U95lHabJa6RQSQnKYe7cBAlg1G2ktn/72D01SG0YxTdMobimKI6QoFr+kT0giRgzk1ZdxvKFSdRzljAYDk7vYV+5+k35IcRp9+v3UYQT6enEkv7T19EoI0T4O5Rbx3Q77c9HdV8lUnDNZ3vJcPbVLNxlTh72fuKa5AT+Tl9tPnqhuLqLRVo0RD8K8klTHOSMpinXE38O7dTTbLjktBuCKlo/fVh89QkOzRXEa/Qny8+b3U4cB8ObXm6mpb1ScSAjX9a+lmwD7WMTk+EjFafSnqrGR9dlZgLROODhey/uEJOJhNClOo1ZRg73XPMwrEZNBn8uHpCjWmf7SQnGK/tExxAYEUGuxsK7lyVac6roxfUmIDKasuo53V2xXHUcIl5SSfowNezPxMBr547QRquPo0vdHM2iyWekcEkrXUJmIA5BSbn8td7RHurMTrRNdFCf5eVIU68yJm+2kKAb7XfmOG+6WHZYWijMxe5h44JoxAHz8fQr5pdJ6I0Rb0jSN17/aCMBVI3uSEBmsNpBOLWtpnZgirROA/XGzqywLgP4hSUqz6EGxzm+yAymKdadfSBIGDGTXllDSWK06ji44iuLvMzOos0gLxZmM6dOJQV3jaWq28tqSjarjCOFSNuzNJDUjHy+zid9PGaY6ji5VNTbwY04WAFNa7gVxd0driqi01OFlNNM9SLZSFje2nBR7SVEszlGg2YfOAfa5l9JXbNc7MoqEwCDqm5tZk3lUdRxdMhgMPDhjDAYDrNhxiLSj+aojCeESGi3NvPr5egBmju9PRLC/4kT6tOpoBhabja6hYXSVqRPAiU98ewfHYza69660uuZyappLAAPh3vpdxiVFsQ4NaBnbIi0UdgaDofWmDZlC8fO6xUdy5fCeALzy2Xo0TVOcSAjn99/vtpF1vJzwQF9uv2yw6ji6dXLrhLBzHGxJP/GJ1okQzzhdrnd2kKJYhwaEyM12P3VFV/sT7dqsTGqamhSn0a8/XTkCHy8zezILWLnjsOo4Qji1jPyS1ptXH75hPAG+srL4TCobGlpnyUvrhJ2maa2LuGRpBxQ5QesESFGsS/1aToqP1hRR0VSrNoxOdA+PoGNwCI3WZlYfzVAdR7cigvy5fZL9NOsfS36koUk2AQrxa9hsGs98vJpmq42xfToxob9+75hXbeXRIzTbbHQLC6ezTJ0AILeulJLGaswGEz2D41XHUU7vSzscpCjWoRBPfzr622dgyspnO4PB0HpavCz9oOI0+nbTpQOICvGnsKyahT+kqI4jhFP6/MfdpB0twNfLzLwbfiPTFM7i5IUdws7x2t0jOA5vkz5n8l5MUhSLC+JooZCb7U5wPOGuz86iqrFBcRr98vE0c89VowB7P2RplXzaIMT5KKqo4bUlGwC456qRRIcGKE6kX+X19WzMzQGkdeJkrf3E0jpBo7WWCkseAJHSPiF+jQGyxOM0XcPC6RoahsVmY2XGEdVxdG3y4GR6JkZR12jhza83q44jhFN5cfEaahqa6JUUzXVj+6qOo2uO1oke4RF0CglVHUc3HEVxf7nJjpJG+9Qof48IfDyCFKc5OymKdcrxg5ReXUi1pV5xGv2Y2tpCITeRnY3RaGDujLEALNm4l/S8EsWJhHAOP6QeYU3qETyMRh6/eSImo7xMns1ymTpxmoL6cgoaKjAZjPQJTlAdRzlnWNrhID/tOhXuFUCCbzgaGqnl2arj6IajhWJjbjbl9fJm4Wz6d+7ApQO6YNM0XvlsnYxoE+IXVNc38uKiHwC4ZdIgunSQebtnU1ZfxyZpnTiNY4tdcmAsvh5easPogLNMngApinWtdeWztFC06hQSSo/wCJptNlZmpKuOo3v3TR+F2cPE1oM5bNyXpTqOELr2+pKNFFfWEh8RzJ2Th6qOo3srM45g1TR6RUSSFByiOo5uOHYMSOuEXXGD/bU60lv/E1ykKNax/i2j2VJkiccpHC0Ussjjl8VFBDNzfD8AXvl8PRarVW0gIXQqNSOPz35MA+Avsybg7eneG8jOhSzsODPHvUAynxiabU2UNdo/7db75AmQoljXBoR2AuBgZR4VTXWK0+jHFV2SAdh8LJdjVZWK0+jfbycPJdjfh6zCMv7z7TbVcYTQneLKGua9vQxNg2nDezAkWfpAf0ledRWbj+UC0jpxsoL6cnLrSjFioF9Iouo4ypU0ZmDDio8pCH+PCNVxfpEUxToW5R1E54BobGhsLpFTUYf4oCBGxSdi0zQ+2p2qOo7uBfh4Me+G8QD859ut7M8uVJxICP1otDTzf//+huLKWjpGh/LQdeNUR3IKi/fuwaZpDI9LICEoWHUc3dhYbH+t7h2SQIBZv+uML5b8ur0AxPj0dIpZ30qL4vXr1zNt2jRiY2MxGAwsWbJEZRxdGhPZHYD1RQcUJ9GXW/v2B2Dxvr3UWyyK0+jfZYO6MXFgV6w2jcffWyGb7oTAvor3uU++Z09mAYG+Xrz6x6vw95Ebo36JxWpl8b49ANzUu4/iNPryY5F9udToiO6Kk+hDfr29KI716aU4yblRWhTX1tbSt29fXn/9dZUxdG10hL1VYEtxOhabFDIO45I6Eh8YRGVjA0sPy4a7c/Hojb8hPNCXzMIy/vHlj6rjCKHcwh928fXm/RgNBl64cyoJkcGqIzmF7zLSKa6rJdzXl0s76b9P9GKpa25kR2kGAKMipc9a07QTRbGvFMW/aPLkyTzzzDNcc801KmPoWvegDoR5BVBrbZRFHicxGY3M7tMPgA/Sdsm4sXMQ7O/D4zdPBGDx2lQWrdmlOJEQ6mzen82rn68H4IFrxzCsu/R/ngtN0/jvrp0A3NS7L54mk+JE+rG9NAOLZqWDTygd/SJVx1GuoukY9dZKTAZPp5g8AeBUt9c2NjbS2NjY+vuqqioALBYLFhf+CH1kWFeW5u9kbeE+BgQlXZQ/03E99Xxdr+rSjVe2bORASTFbcrIZFNtBdaRzovLaDkuO50/ThvPG15v526drCQ/0ZWyfThc9R3txhsetM3K165pTVMEj7yzDpmlMHZrMdaN7Kftvc7Zrm1JYQNrxQjxNJm5I7qnr3Bf72q47vh+AEWFdaG527U92z+Xa5tTYp7lEeXXD1gw21P6MnQuDppMjNoPBwJdffsn06dN/9nuefPJJnnrqqdO+vnDhQnx9fdsxnVqHjeV8aj5MoObJPU39MKD/ZvWLZXFpEVtqqujr689tEdGq4zgFTdNYtr+EnbnVeBgN3Dokhrhgb9WxhLgoGpttvLM5j5JaC3HBXtw6JBYPozynnqv3igtIq6tlqF8AN4ZHqY6jGxoa//DcRa3BwsymZDpp+l5nfDEUR6+iNuggQaWDCCkZrixHXV0ds2bNorKyksDAwLN+r1MVxWc6KY6Pj6egoICwsLCLkFKNBmsTU9a/RKPNwvtD/kjngPYv/iwWC6tWrWLixImYzeZ2//N+rUOlJVz5v4WYDAZ+uPk2ov0DVEf6RXq4ts1WG/PeWc6GfVkE+3nzztwZxEcEK8nSlvRwbV2Rq1xXq83Gw2/bH/cRQX68/9D1hAX6Kc3kTNf2WFUVExe+j03TWHr9LLqF6Xvj38W8tgeq8rhz+wJ8TJ58O2YeZqNTfRB/3s7l2n6UfQdVzQVcEfP/SPAddJETnlBVVUV4ePg5FcVO9X/Ny8sLL6/T7ww2m826fzK5EGazmaHhnVlfdIBN5el0D42/qH+2nq9tr+gYhnaIY2veMT49eIC5w0eqjnTOVF5bsxle/N0V3PnK/ziQU8QDb33Dew/dQEiAa3ziovfHrbNy9uv61pINbNiXhZfZxKt/vJLosGDVkVo5w7VduN8+hm1kfAK9omNUxzlnF+PabimzrzIeHt4FXy/3GcX2c9e2trmMquYCwECcf2/MJnWP7fP5fy9zip3E6JbRbI5xL+KE2X3s49k+2bubRhfv42pLPl5m/vGn6cSGBZJbXMGcN5dS36Tf/kAhLsR32w/y7ortAPz15kn0SJR2q/NR09TUOobtjv4DFafRH8fY1FEtE6PcXX6d/bES7tUJL5O/4jTnTmlRXFNTQ2pqKqmpqQBkZmaSmppKTk6Oyli6NDLCPt5lf+UxShqqFKfRl0mXdCbG35/S+jqWpx9WHcephAf58do9VxPo68WezAIe+++3WG021bGEaFP7s4/z1IcrAbh10iAmD5HC5Xx9un8vNU1NdAoJYWyirC8+WX5dOYerCzBiYFSkPLYA8up2A9DBt7fiJOdHaVG8Y8cO+vfvT//+9pO+uXPn0r9/f/7617+qjKVL4V4B9Aqyt01sKJbtdifzMBqZ1bsfAO/vljFj56tjdCiv3HUlnh4m1qRl8PKn62TEnXAZJZW1PPjvpTRarIzq1ZF7rnKeFiu9sNpsvJeaAsDt/QZidILNZBfTjy2nxH1DEgn2VNujrhd5LfOJO/hIUXzOxo0bh6Zpp/167733VMbSrdGy3e5n3dizN54mE7uPF5JaWKA6jtMZ0CWOp2+7DIBFa1P5+PsUxYmEuHBNlmYeWvA1x8trSIoK4dk7JmMyStfg+VqdmUFuVSXB3t5ck9xDdRzdWVdkH8U2NkquDUCjtYaSxqMAxMpJsWgvo1s+ltleeoQGa5PiNPoS5uvLtK726/NBmpwW/xqTBnbjgWvHAPDK5+tZtVNaUYTz0jSNFxatIe1oAf4+9hXOAbLC+VdxLOuY2asPPjq/GfBiq2yqY1d5FgBjI6UoBsdqZ41gcwf8PEJVxzkvUhQ7kUv8o4jxCaHR1sy2llWS4gTHhrtl6YcorqtVG8ZJ3TxhADeM6wfA4+99x64jeWoDCfErLV6bypJNe1tWOE8hMSpEdSSntKfoONvz8/A4aYuoOGFTySGsmo1L/KPo4OtcBWB7yWu5yc7ZTolBimKnYjAYGNNyWiwtFKfrExVN/+gYLDYbi/buVh3HKRkMBv7vurGM63sJTc1W5r61lKzCMtWxhDgvWw/m8PJn6wC4/5rRjOiRpDaQE3OcEk/t0s0p5sBfbI4tdtI6cUJ+vb0o7uDbR3GS8ydFsZMZHWHvK95QdBCbJlMCfuqWvvabNhfu2Y3FalWcxjmZjEaevWMyvZKiqaxt4N7Xv6S0Sk7ehXPILa5g3tvfYLVpTB3anZsnDFAdyWkV1lSzLN1+Y7eMYTtdo9XC5pJ0AMa03PPj7iy2Bo7X21vvOvj0Upzm/ElR7GT6hybh5+FFWVMN+yvlo+2fmty5K+G+vhyvrWFlxhHVcZyWj6eZf/zpKuIigsgrreL+N76ivlFmGAt9q21oYu6bS6mqa6RXUjSP3XQpBpmU8Kt9uDuVZpuNwbEd6B0pK51/antpBvXWJiK9Auke2EF1HF0orD+IjWb8PcIJNDvPghcHKYqdjNnowYjwroC0UJyJp8nEzF72j2xkPNuFCQnw5fV7ribYz5v92cd55D/LaLbKpxNCn2w2jcff+46MglLCg/x4+Q/T8DI71dJWXam3WPikpQ1NTonPzPEaPCaqu7z5auFonYj16e2U10SKYifkGM22rmi/zJM9g1m9+uJhNLIjP4/dxwtVx3FqCZEhvPqnq/Aym/hxTyZ/+e9ymiyyNVDoi6ZpvLh4DWvTMvD0MPHKXVcSEew8W7T06H/791DR0EBCYBCXdrxEdRzdabZZTxTFMnWi1bGWpR2xvs7XOgFSFDulkRHd8DR6kFlTRHq1zOT9qSh//9bxbK9t26w4jfPr2ymW5+6YgofJyKqUdO55/Uuq6xtVxxICsJ8Qv7DoBz5dn4bBAE/MnkSvJFnhfCFqmpp4fdsWAH43cLDMdj6DbaVHKGuqIcjsy8BQ2fAH0GSrp6BlaUeCr3P28ssj3QkFmH1a96svz09VG0an7h48FKPBwPeZR9lTdFx1HKc3vl9nXrt7Or5eZnYcPsbvXvmU4soa1bGEmztREO/GYIAnZ0+SFc5t4O2U7ZTW15MUHML1PZzzxK+9LcuzLzi6LKYvZqO06QAcq03FqlkINEcT7BmnOs6vIkWxk5rSwT5lYUVBGs02mbLwU51CQrmqm73N5J9bNylO4xqGdk/knQevJyzQl8PHirntpcUyrk0oY7NpPL/oez778URBPG14T9WxnF5xbS3/aRnD9n/DR2E2mRQn0p9qSz3rWlonpnZwzhPR9pBVuw2AJL8hTtlPDFIUO63h4V0IMvtS2ljNdlnkcUb3DBnWelosq5/bRnJ8JO/+3w3ERwRTUFbFHX9fzJ5Mubbi4rLZNJ775Hs+/3EPBgM8detlUhC3kX9u20ydxUK/qBgmd+6iOo4urS7cQ5OtmU7+kSQHxqqOowuappFdux2ARP8hitP8elIUOymz0YNJMfYpC99KC8UZdQwO4Zru9hsgntuwTm5KbCNxEcG8+3830CMxioraBv4w/zM27M1UHUu4CZtN49mFq/liwx6MBgNP33o5VwyVG53awtHystbFR/NGjnba07725midmNphgFyjFuVNOVRZCjEZzMT79lUd51eTotiJTY61t1CsLdpHXbPc+HQmc4eNxNvDgx35eayQucVtJjTQlwVzZjC8RyINTc088OZXLN28T3Us4eIcBfGXG+3rm5++7TKmDpWlCW3l5c0bsWoa45M6MTQuXnUcXcqpLWF3RQ5GDEyO6ac6jm5ktZwSd/Dpg9noozjNrydFsRPrGRRHvG8YDVYLa1tWTYpTRfsH8LsBgwB4ceN6mmTLXZvx9fZk/p+uYurQ7lhtGk9+sJJ3V2yTE3nRLmw2jWc+PlEQ/7/bLmfKECmI20pqYQHfHjmM0WDg4ZGjVcfRreX59vn3Q8O7EO4dqDiNfmTV2PuJE/0HK05yYaQodmIGg4HJsf0A+DZfFlX8nN8NGEy4ry/ZlRUs3JOmOo5LMZtMPHXLZdw6yf7G47UlG/nb/9Zis0lhLNqOzabx/z5exZJN9oL4mdsvlykTbUjTNF7YsB6Aa7r3oFtYuOJE+mTTbCzPs7/WTm252V3YR7E5lnYk+TlvPzFIUez0HC0U20szKG6oUpxGn/w9PZk7bCRgv4mksqFBcSLXYjQauP/q0Tw4YywAi9am8qgs+RBtxGqz8dRHK/lq0z6MBgPP3j6ZywdLQdyW1mRlsi3/GF4mD+YMHaE6jm6llGVS2FCBv4e3LOw4ycmj2EI8nbvtRopiJ9fBN5S+wYnY0FhRIKegP2dGj150DQ2joqGBN3ZsVR3HJd00YQDPO5Z87DwsSz7EBbPabDz94Sq+3rwfk9HAs3dM5rLB3VTHcilWm42XNv0IwK39+hMbIC0BP2dZyynxpdG98TaZFafRD8cotkS/wU5/46EUxS7A0UKxXFoofpaH0cijo+wnme+n7iK3slJxItd02eBuvHbP1fh5e8qSD3FBqusbeezd7/h6y0kF8SApiNvaFwf3c7i0hCAvb/440Lk/+m5Pdc2N/HDcvq1NZhOfcPIotiT/oYrTXDgpil3ApTF9MBtMHKkulLXPZzEmMYlR8Yk02az8reVkRLS9ockJvD33OlnyIX61tWkZzHjqfVbsOITJaOC5O6YwaaAUxG2todnC/C0bAfjT4CEEeXsrTqRfPxzfR721iXjfMPoEJ6iOoxsVlmMuMYrNQYpiFxBo9mFUpL3H7tu8VLVhdMxgMPDoqDEYgG/SD7GrIF91JJclSz7Er1FaVcu8d5Yx962lFFfWEh8RzFtzZjBxYFfV0VzS+2m7KKipITYggFv6yI1jZ+OYTTylQ3+nbxFoSzl1OwDnH8XmIEWxi3DccLeiIA2rZlOcRr+6R0Qyo0cvQBZ6tDfHko+esuRD/AJN0/h68z6ufep9Vu08jMlo4LZJg1j82GwGdolTHc8lVTTU8+YOey/o3GEj8fLwUJxIvwrqy9lZdhSAKbHy5uFk2XWOLXbOPYrNQYpiFzEyoiuBZh+KG6vYIWufz+qBYSPw8fBgZ0E+32Wkq47j0kIDffm3LPkQZ5FfWsndr33JEx+spKqukeT4SD6YN5P7rh6Nt6cUau3lje1bqWpsJDk8gqu6ybzns3HcrzMwtBMxPiGK0+iHzWBxmVFsDlIUuwiz0YNLo3sDcsPdL4n2D+DOloUeL238URZ6tLMzLfn473ey5MPdWW02Fv6QwoynP2DLgWw8PUzcN30U78+7ke4JUarjubS8qio+SEsF4OERozEZpRT4OZqmnTSbWG6wO1mD7zFsNLvEKDYH+UlwIY4f2B8K91HTLLN4z+b3AwYT4etHdmUFH+1OVR3H5ZlNJp6+9cSSj9e/si/5sNqk1ccdZeSXcPvfFvP3T9fR0NTMgC4dWPzYbG67bDBmk0l1PJf36paNNNmsDI+LZ2xikuo4uranIofculJ8TJ78Jqqn6ji6Uu+XDbjGKDYHKYpdSK+geJL8Imi0WVhdsEd1HF3z8/Rk7jD7kPrXtm2RhR4XgcFw+pKPB9/6mrwSGY/nLposzbz1zWZmPvcxe7MK8fP25M+zJrBgznUkRsnH0hfDgeIivjy4H4CHR45xmWKmvThusBsf1RNfDy/FafRD07TWothVWidAimKXYjAYmBY3EIClx3YoTqN/M3r0omtYOJWNDby2bYvqOG7j5CUf6/cc5eon3+P5T34gv1SKY1e29UA2s57/mAXLttBstTGmdyc+++stzBjdB6NRCrOLQdM0Xtr0IxowtUtX+kZFq46kaw1WC6sK7QdM0jpxqgpLHs2eVRjxIN6vn+o4bUaKYhczObY/JoORvZW5HKjMUx1H10xGI39uWejxXloKaccLFSdyH5cN7sYH82YyrHsCzVYbn65P46q/vstj737LkbwS1fFEGzpaUMp9/1rCH//5BUcLygjx9+H5307h1T9eSVRIgOp4bmVZ+iHWZWdhNhp5cPgo1XF0b2VBGjXNDUR7BzMwtKPqOLqSWbsJgFif3i4xis1BimIXE+4VwMToPgB8krVRcRr9G5OYxJXdkrFpGg+v+o7G5mbVkdxGcnwkb9x3LQsemMGw7olYbRrLtx3k+mc+ZM4bX5F2VOZIO7PSqlqeW/g9NzzzIRv2ZuJhNDJzfD8+f+JWLhvUTT62v8jK6ut4at0PAPxx0FCSgqVd5Ww0TWNRlr3wuy5xGEaDlEsny6ixL8C6xN+13lzJvBsXNDNpJN8VpLKqcDf3dLuMSO8g1ZF07Ykxv2FTbg7pZaXM37qJeSPHqI7kVgZ1jWdQ13j2Zx/nvZXb+X5XOuv3HGX9nqMM7BLHbZcNZkSPRCminERDUzMff5/Ceyu3U9vQBMD4vpdw39WjpW9YoafXr6G0vp6uYeH8abDzr+Ntb9vLMjhSU4i3ycxVca4xg7etVDTlU9x0BDQDnfxGqI7TplzirY9j77aw6x7Ugf4hSVg1G59mS6/sLwnx8eHZ8RMBeDtlB6mFsnlNhR6JUbz0uyv44onbmD6iFx4mIzvTj3Hv619y0/MLWbnzkEyr0DGbTWPZ1gNc8+R7/GvpRmobmuieEMnbD1zHy3ddKQWxQt9nZrD00EGMBgMvXnoZnjLh4xc5TomndRhIoNl12gPaQnr1OgC86+LwMQWrDdPGXKIoPlq7QXUE3ZmZZP9I48tj26hvblKcRv8mXtKZq7p1x6ZpPCRtFEolRoXw19kT+eaZ33LzhAH4eJk5mFvEI+8s55on3+eLDXtossj/Hz3ZefgYs19cyOPvfUdheTXRIQE8c/vlfDhvFgO7ykY6laoaG3n8h9UA3Nl/oNxcdw6ya0vYUHwQgOsTXesktC2kV9mLYr/qzoqTtD2XKIqz63bQbGtUHUNXRkcmE+cbSpWlnmX5KarjOIUnxo4nwtePjPIyXt26SXUctxcZ7M/cGWNZ9sxvueuK4QT7eZNbXMEzH6/misf/ywerdrR+PC/UyD5ezty3lvK7Vz/lQE4Rft6e3Dt9JF88eRtThnSXqRI68MKGdRTW1pAUHMKcYVLgnYvF2fb7cUZFJJPoF644jb5UNOVR3HgEA0Z8ay5RHafNuURR3Kw1kCUtFKcwGYzc0PIO95Osjdg0+dj5lwR7+/Dsby4F4J2UHewqkBu99CDY34ffTx3Gsmfv5MEZY4kK8aekspb5X/zIlD+/wxtLN1FeXac6plspr6nnpcVruO7pD1ibloHJaOC6MX346qnbuf2yIbKeWSc25mazaJ99pNgLEybh7WFWnEj/qiz1fNMym3hm0kjFafTH0ToR59MPk9X12kpcoiiGE8f54oRpHQbi7+FNbl0pG4sPqY7jFC7t1Jmrk3vYp1GsXiFtFDri42XmpgkDWPr0HTwxexJJUSFU1zfyzrdbmfqX//DS4jUUllWrjunSmixW3l+5g6v++i6L1qbSbLMxundHFj82m0dnTiA00Fd1RNGizmLhz9+vAuDm3n0Z0kHaWM7FktztNFgtdA6IZlBoJ9VxdMdRa13iP1pxkvbhMkVxZs1mLDbZSnYyXw8vpsfb75pdKOPZztlfx4wn0q+ljWKLXDe9MXuYuGpETz7766387fdX0CMxigZLM4vWpnLN0x+yZHcRRwvKVMd0KZqmsbeghuuf/Yh/fPkjNfWNdIuL4M37r+Uff5pOp5gw1RHFT/x98wZyqyqJDQjgYZmoc06abVb+l7MZgJmJI2XizU+UNx2juDEDA0aXmzrh4BJFsb8pEovWQFbNNtVRdOeGhOGYDEZ2lh3lcJW0A5yLIG9vnv2NfRrFO7t2kiJtFLpkNBqY0L8LH86byZv3X8uQbvFYbTbS8muY+fxCHnxrKXsyZZLIhUrLyOfOVz/j87QiCsqqiQjy48lbJvHRo7MYmpygOp44g50Febyfam8BeO43k/D39FScyDmsOb6PooZKQj39mBTTR3Uc3XGcEif4DcDbFKg4TftwiaK4k/9wANKr1yrNoUdRPsFMiOoFyGnx+ZjQ8RKuaWmjeGjVdzQ0W1RHEj/DYDAwNDmBt+bM4N0Hr6N7lC8GA6xJy+DWlxbx+1c/Y8uBbDRNUx3VqeQWVzDv7W+4/e+L2Zt1HLPJwO+nDGXJU7dz5fCemIwu8fLhchqbm3lk9Uo04NruPRmTmKQ6ktNwLLy6Jn4oXibpv/6p9Or1AHQOGKs4SftxiWe1jn72ZvjMmq1YbPWK0+iP42aBlQW7KWmoUpzGeTw+ZjxRfv5kVpTzymZ5Q+EMeiRGcX3/aBb9+SauHN4TD6ORHYdz+dM/v+DmFxayOuWwzDo+i6KKGtakHuGFRT9w7VPvsyolHaPBwFXDe3Dv6Hh+e/lgfLykWNCz17ZtIaO8jAhfP/4y2nWLl7a2pyKHvZW5mA0mrk2Q5SY/Vd6YS0ljBkZMXBLgmq0T4CIb7cI9OxFkjqHSUkBmzVa6Bo5THUlXegbH0zc4kbSKbD7N2cIfu05SHckpONoo7vz6S/6zayeXde7CwJgOqmOJc5AUFcKTt0ziriuG8+HqnXy5cQ8Hcop4+O1lJEaGcOukQUwZkoyn2SWeAn+VqtoG9uccZ29WIfuzj7Mvq5DiytpTvmdY90QeuHYMSZFBLF++XFFSca72FR3n3zvtbYRPj59AsLfrTQdoL45T4sti+xLmFaA4jf44pk7E+w3AxxSExeaan566xCuCwWCgS+A4dpR+wuGqtVIUn8GspJGkpWbzRe42br9kHN4m6TE7F7/p2Ilru/fk8wP7eHjVCpbNmi1jjZxIdGgAD10/jjunDGXRml0sXptKdlE5T3+0ire+2czNEwZwzaje+Hq79s9DfZOFQ7lF7Ms6zv5seyGcW1xx2vcZDQY6xYbRMzGKSQO7MbxHIgAWi2u+ALoSi9XKvNUrsGoaUzp35bJLuqiO5DQK6ytYc3wfADcmyhi2MzncUhR3CXDtmzZdoigG6Bowlh2ln5BVu40max2eJhkNdLIxUT2I9Qkhv76c5Xm7uEY+Hjpnj48Zx8acbDIrynl580b+Mnqc6kjiPIX4+/DHaSO4deIgvtiwhw9X76SoooZXPl/PO99uZfrIXnSODScmNJDo0AAiQ/wxO+kqXIvVytH8Uva1nP7uyz5ORn4JVtvpPdVxEUH0TIymZ2IUPZOiSY6PlPYIJ7UgZQf7S4oJ9vbmiXG/UR3HqfwvZzNWzcbA0E50DYxRHUd3yhpzKG3MbGmdcO03DS5TFId7XUKwuQMVljwya7fQLVCeFE5mMhi5MXEErxxcxqLsTUyPH4zR4BIt5e0u0Mub5yZM4o6lX/DfXTu57JIuDIqVNgpn5Ovtyc2XDuT6sX1Zvu0g763cTk5RBR+s2nnK9xkMEBHkT0xoQGuh/NO/+vt4KfqvOEHTNHKLK9ibVdhyClzIwdwiGi3W0743PNCXHonR9EqKpkdSFD0Sogj2l4/XXUF6aSmvbbWPEvvrGPtmTnFu6pob+SrXvvxrlizrOCPHDXbxfgNdduqEg/Ki+I033uBvf/sbBQUF9OzZk/nz5zN69PkPhba3UIxle+lC0qvWSVF8BtPiBvHvI6vJqi1mc0k6IyO6qY7kNMYldWRGj558tn8fD69ewbKZs/Exy4mas/I0ezB9ZC+mDe/BmtQjbNyXRUFpFYXl1RSWVdPUbKWoooaiihrSjp55rFuAj9cZi+WY0EBiwgIIC/Br8zXHRRU17MsqbO0D3p99nOr601fc+/t40SMhkp5J0fZfiVFEBvvL3FUXZLXZeOT7FTTZrIxL6shV3bqrjuRUluWlUN3cQLxvmLwm/gzHZC9Xb50AxUXx4sWLmTNnDm+88QYjR47k3//+N5MnT2b//v0kJJz//MuuAePYXrqQrNptNFpr8TLJu+WT+Xl4MT1uMB9nbeCTrI3yBHCeHhs9jg3Z2WRVlPP3zRt4fMx41ZHEBTIZjVw6oCuXDuja+jWbTaO8po6CsmoKy6pO+aujcK6sbaC6vpHqvEbS80rO+O82e5iICvEnOsReJEeHBBATFkhMy1+jQgLwOsuNflW1DfYWiOzC1j7gkp/cCAfg6WGiW3wkvZKi6NHSCpEQGdLmBbnQp/fTdrGrsAB/syfPjL9U3vicB5tmY1H2JgBuSBwhn56eQVljNqWNWRjxcPnWCVBcFL/yyiv89re/5c477wRg/vz5rFixgjfffJPnn3/+vP99YV4dCfFMoLwph8yazSQHXdrWkZ3e9YnD+SRrI9tKj5BeXUCXAOmfOlcnt1G8l5rCZZd0kdWpLshoNBAW6EdYoB+9kqLP+D11DU0UltuL5ILyE8Wy469F5TVYmq0cK67kWHHlz/5ZYYG+rcVydEgAwf4+ZOSXnvVGuEtiw+iZaG+B6JUUzSWxYU7b/ywuTE5lBS9v3gDAI6PGEBvg2h9tt7WNxYfJrSvF38ObKzoMUB1HlxytE/aFHa4/lUNZUdzU1MTOnTt55JFHTvn6pEmT2LRp0xn/mcbGRhobT3xUWFlpf7EpKzux0jXaNojmJg/qKpspbS5th+TOzRMY7ptEmaWW4tISQpvOfNe9xWKhrq6O0tJSzNIm0Kp3QCDT4pPYVpBHVUUFpb9i5JFc2/ZzMa9tkCcExQSSHBMInNpj3my1UVJVy/GKGorK7W0YheXVFFfUUFhew/HyahotVopKGigqKWN3+pn/jNiwQLrFRdA9PoKu8RF0iQ0/7Ua4qoqK9vkPPIk8ZtvPhVzboopy4j298fM3MzGmA6Wl8pp3sl+6tvWVNSQZgukfmER9ZQ311ChIqW/NNV74NMYS6T3glMeXMz0nVFdXA5zTAidlRXFJSQlWq5WoqKhTvh4VFUVhYeEZ/5nnn3+ep5566rSvd+3a9Qzf/XZbxHRpH6gO4OQmqg4gXN5u4DvVIYRT+EJ1ACf2KfBn1SF070PVAS5YdXU1QUFBZ/0e5Tfa/bT/SdO0n+2JevTRR5k7d27r7ysqKkhMTCQnJ+cX/0PF+amqqiI+Pp7c3FwCA+UjubYk17b9yLVtH3Jd249c2/Yj17b9ONO11TSN6upqYmNjf/F7lRXF4eHhmEym006Fi4qKTjs9dvDy8sLL6/QxSEFBQbr/n+KsAgMD5dq2E7m27UeubfuQ69p+5Nq2H7m27cdZru25Hpwqu9XS09OTgQMHsmrVqlO+vmrVKkaMcN292kIIIYQQQn+Utk/MnTuX2bNnM2jQIIYPH86CBQvIycnhrrvuUhlLCCGEEEK4GaVF8Q033EBpaSlPP/00BQUF9OrVi+XLl5OYmHhO/7yXlxdPPPHEGVsqxIWRa9t+5Nq2H7m27UOua/uRa9t+5Nq2H1e9tgbtXGZUCCGEEEII4cJkfYsQQgghhHB7UhQLIYQQQgi3J0WxEEIIIYRwe1IUCyGEEEIIt+fURfEbb7xBx44d8fb2ZuDAgfz444+qIzm9559/nsGDBxMQEEBkZCTTp0/n0KFDqmO5nOeffx6DwcCcOXNUR3EJeXl53HzzzYSFheHr60u/fv3YuXOn6lhOr7m5mccee4yOHTvi4+NDp06dePrpp7HZbKqjOZ3169czbdo0YmNjMRgMLFmy5JS/r2kaTz75JLGxsfj4+DBu3Dj27dunJqyTOdu1tVgszJs3j969e+Pn50dsbCy33HIL+fn56gI7iV96zJ7sD3/4AwaDgfnz51+0fO3BaYvixYsXM2fOHP7yl7+wa9cuRo8ezeTJk8nJyVEdzamtW7eOu+++my1btrBq1Sqam5uZNGkStbW1qqO5jO3bt7NgwQL69OmjOopLKC8vZ+TIkZjNZr799lv279/Pyy+/THBwsOpoTu/FF1/krbfe4vXXX+fAgQO89NJL/O1vf+O1115THc3p1NbW0rdvX15//fUz/v2XXnqJV155hddff53t27cTHR3NxIkTqa6uvshJnc/Zrm1dXR0pKSk8/vjjpKSk8MUXX3D48GGuvPJKBUmdyy89Zh2WLFnC1q1bz2mNsu5pTmrIkCHaXXfddcrXkpOTtUceeURRItdUVFSkAdq6detUR3EJ1dXVWpcuXbRVq1ZpY8eO1e6//37VkZzevHnztFGjRqmO4ZKmTp2q3XHHHad87ZprrtFuvvlmRYlcA6B9+eWXrb+32WxadHS09sILL7R+raGhQQsKCtLeeustBQmd10+v7Zls27ZNA7Ts7OyLE8oF/Nx1PXbsmNahQwdt7969WmJiovbqq69e9GxtySlPipuamti5cyeTJk065euTJk1i06ZNilK5psrKSgBCQ0MVJ3ENd999N1OnTuXSSy9VHcVlLF26lEGDBnHdddcRGRlJ//79efvtt1XHcgmjRo3i+++/5/DhwwCkpaWxYcMGpkyZojiZa8nMzKSwsPCU1zQvLy/Gjh0rr2ntoLKyEoPBIJ8mXSCbzcbs2bN56KGH6Nmzp+o4bULpRrtfq6SkBKvVSlRU1Clfj4qKorCwUFEq16NpGnPnzmXUqFH06tVLdRynt2jRIlJSUti+fbvqKC7l6NGjvPnmm8ydO5c///nPbNu2jfvuuw8vLy9uueUW1fGc2rx586isrCQ5ORmTyYTVauXZZ59l5syZqqO5FMfr1ple07Kzs1VEclkNDQ088sgjzJo1i8DAQNVxnNqLL76Ih4cH9913n+oobcYpi2IHg8Fwyu81TTvta+LXu+eee9i9ezcbNmxQHcXp5ebmcv/997Ny5Uq8vb1Vx3EpNpuNQYMG8dxzzwHQv39/9u3bx5tvvilF8QVavHgxH330EQsXLqRnz56kpqYyZ84cYmNjufXWW1XHcznymta+LBYLN954IzabjTfeeEN1HKe2c+dO/vGPf5CSkuJSj1GnbJ8IDw/HZDKddipcVFR02jtt8evce++9LF26lDVr1hAXF6c6jtPbuXMnRUVFDBw4EA8PDzw8PFi3bh3//Oc/8fDwwGq1qo7otGJiYujRo8cpX+vevbvcdNsGHnroIR555BFuvPFGevfuzezZs3nggQd4/vnnVUdzKdHR0QDymtaOLBYL119/PZmZmaxatUpOiS/Qjz/+SFFREQkJCa2vadnZ2Tz44IMkJSWpjverOWVR7OnpycCBA1m1atUpX1+1ahUjRoxQlMo1aJrGPffcwxdffMEPP/xAx44dVUdyCRMmTGDPnj2kpqa2/ho0aBA33XQTqampmEwm1RGd1siRI08bG3j48GESExMVJXIddXV1GI2nvkyYTCYZydbGOnbsSHR09CmvaU1NTaxbt05e09qAoyBOT09n9erVhIWFqY7k9GbPns3u3btPeU2LjY3loYceYsWKFarj/WpO2z4xd+5cZs+ezaBBgxg+fDgLFiwgJyeHu+66S3U0p3b33XezcOFCvvrqKwICAlpPLoKCgvDx8VGcznkFBASc1pft5+dHWFiY9GtfoAceeIARI0bw3HPPcf3117Nt2zYWLFjAggULVEdzetOmTePZZ58lISGBnj17smvXLl555RXuuOMO1dGcTk1NDUeOHGn9fWZmJqmpqYSGhpKQkMCcOXN47rnn6NKlC126dOG5557D19eXWbNmKUztHM52bWNjY5kxYwYpKSl88803WK3W1te10NBQPD09VcXWvV96zP70zYXZbCY6Oppu3bpd7KhtR+3wiwvzr3/9S0tMTNQ8PT21AQMGyNiwNgCc8de7776rOprLkZFsbefrr7/WevXqpXl5eWnJycnaggULVEdyCVVVVdr999+vJSQkaN7e3lqnTp20v/zlL1pjY6PqaE5nzZo1Z3xuvfXWWzVNs49le+KJJ7To6GjNy8tLGzNmjLZnzx61oZ3E2a5tZmbmz76urVmzRnV0Xfulx+xPucJINoOmadpFqr+FEEIIIYTQJafsKRZCCCGEEKItSVEshBBCCCHcnhTFQgghhBDC7UlRLIQQQggh3J4UxUIIIYQQwu1JUSyEEEIIIdyeFMVCCCGEEMLtSVEshBBCCCHcnhTFQgghhBDC7UlRLIQQQggh3J4UxUII4eSKi4uJjo7mueeea/3a1q1b8fT0ZOXKlQqTCSGE8zBomqapDiGEEOLCLF++nOnTp7Np0yaSk5Pp378/U6dOZf78+aqjCSGEU5CiWAghXMTdd9/N6tWrGTx4MGlpaWzfvh1vb2/VsYQQwilIUSyEEC6ivr6eXr16kZuby44dO+jTp4/qSEII4TSkp1gIIVzE0aNHyc/Px2azkZ2drTqOEEI4FTkpFkIIF9DU1MSQIUPo168fycnJvPLKK+zZs4eoqCjV0YQQwilIUSyEEC7goYce4rPPPiMtLQ1/f3/Gjx9PQEAA33zzjepoQgjhFKR9QgghnNzatWuZP38+H374IYGBgRiNRj788EM2bNjAm2++qTqeEEI4BTkpFkIIIYQQbk9OioUQQgghhNuTolgIIYQQQrg9KYqFEEIIIYTbk6JYCCGEEEK4PSmKhRBCCCGE25OiWAghhBBCuD0pioUQQgghhNuTolgIIYQQQrg9KYqFEEIIIYTbk6JYCCGEEEK4PSmKhRBCCCGE25OiWAghhBBCuL3/D9rLDamrHcTIAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# Contour Plot\n",
"x = np.linspace(0, 15, 20)\n",
"y = np.linspace(0, 7, 20)\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = np.sqrt((X - 7)**2 + (Y - 3)**2)\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"\n",
"contour_plot = plt.contour(X, Y, Z)\n",
"plt.clabel(contour_plot)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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