{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#### Кафедра дискретной математики МФТИ\n", "\n", "Никита Волков\n", "\n", "На основе http://www.inp.nsk.su/~grozin/python/\n", "\n", "# Библиотека matplotlib\n", "\n", "Есть несколько пакетов для построения графиков. Один из наиболее популярных - `matplotlib`. Если в `jupyter notebook` выполнить специальную `ipython` команду `%matplotlib inline`, то графики будут строиться в том же окне браузера. Есть другие варианты, в которых графики показываются в отдельных окнах. Это удобно для трёхмерных графиков - тогда их можно вертеть мышкой (в случае inline графиков это невозможно). Графики можно также сохранять в файлы, как в векторных форматах (`eps`, `pdf`, `svg`), так и в растровых (`png`, `jpg`; конечно, растровые форматы годятся только для размещения графиков на web-страницах). `matplotlib` позволяет строить двумерные графики практически всех нужных типов, с достаточно гибкой регулировкой их параметров; он также поддерживает основные типы трёхмерных графиков, но для серьёзной трёхмерной визуализации данных лучше пользоваться более мощными специализированными системами.\n", "\n", "Некоторые функции отрисовки\n", "\n", "\n", "Вспомогательные функции\n", "\n", "\n", "http://matplotlib.org/gallery.html (англ.) — тысячи примеров\n", "\n", "У функций в `matplotlib` много параметров.\n", "Для того, чтобы посмотреть все параметры, можно воспользоваться справкой:\n", "\n", "`plt.plot?`" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Список $y$ координат; $x$ координаты образуют последовательность 0, 1, 2, ..." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot([0, 1, 0.5])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Списки $x$ и $y$ координат точек. Точки соединяются прямыми, т.е. строится ломаная линия." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot([0, 0.25, 1], [0, 1, 0.5])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`scatter` просто рисует точки, не соединяя из линиями." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.scatter([0, 0.25, 1], [0, 1, 0.5])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$x$ координаты не обязаны монотонно возрастать. Тут, например, мы строим замкнутый многоугольник." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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wJXI8Dy+ZQq4xhhmTJjplj4szGsmR+3zgpNb6NIBS6hVgLXD4gu2+CrwGzLPr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\n0g7AzLhgHstJJdcYQ1LEeAd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot([0, 0.25, 1, 0], [0, 1, 0.5, 0])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Когда точек много, ломаная неотличима от гладкой кривой." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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KFlq7+rhrsT2u5gBWzJlBckwYb5/RL66/a+/u42B5E7fbpLUAEBsRSmFOErvP1lsdivIy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\nxKCUUmoYTQxKKaWG0cSglFJqmP8fODAnYDddjMcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 4 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, np.sin(x))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Массив $x$ не обязан быть монотонно возрастающим. Можно строить любую параметрическую линию $x=x(t)$, $y=y(t)$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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VglIndNmMoczIS+beVUU0tltf6NlXE6sbgTxjzBTgT8Crg30Bbzev+nhvDe/vrmbp4gJS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\ngXyuFwPPGKfPgGRXRTt/4u/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 2 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.plot(np.cos(t), np.sin(t))\n", "plt.axes().set_aspect(1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Чтобы окружности выглядели как окружности, а не как эллипсы, (а квадраты как квадраты, а не как прямоугольники), нужно установить aspect ratio, равный 1.\n", "\n", "А вот одна из фигур Лиссажу." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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z4NYJ6ibPf6UZPrNXWz7ensmhnHJevHIwfi52xp5Ol3Cxt2LxmGA2HT2tF90g\nKSUJueUM1aMrA33EiIDapUnIK9d5kpWUkve3ZRDm6cD0wYYvstMFD10WyQAfRx5Zm0B5bc8RCU/O\nr+Dt39OYOcSP2bH+xp5Ot7hlQijWCgs++uuEzq+dXVpLRV2TXuMh0JeMSIALVfXNZJXqVi/1z9Ri\njp2u5M6L+6PoQUvp1thaKXhrwVDKahp5emPPULivb1Ly4OoEXO2teenKwT1uBajBy8mGa0cGsuHQ\nKZ13h9fEAGP0uDMDfcmI6CG4KqXkvW0Z9HO1Y66WIlTGZnA/F+6fGsGPCfn8kJBv7Ol0yH9/SyO1\nsIplV8fgpodGO4bk9knqnBZda9Uk5FZga2XBAB8nnV73XPqMEYnwdsLeWqHTuMjek2UczD7DHZPC\nsDLhvITOcuek/gwLcuXp75P0uh2uLXszS/lkRyYLRwXptem1oejnasdVw/vx7b4cnRZHJuaVM9jf\nRe/3Zs+/8zuJwkIwuJ+LTlci72/LwNPRxuRqZLqLpcKCtxYMpbFZxaPrE02yN2t1g7qAMNDNnqdm\nDjT2dHTGnZP606RU6aymqUmpIim/Qu/xEOhDRgTUcZHk/EqdpHon5JazI72EWy8K1bksoTEJ9XTg\nyRlRbE8r5pu9Ocaeznm89NMxTpXX8daCWBz0oBljLMK8HJkxxI+vdmdTUat9h/60wirqm1R6j4eA\n4cSrrmvp9H5UCBEvhIht9VxWy+NHhBAHdDGf9ogNdKWxWaWTYrz3t2XgbGvJ4jE9I7mpKyweE8xF\nEZ68vOk4J0t0G4jWht+PFbJqfy53TOxPXIjpZwV3laWTw6luaOaL3VlaX0tT5qHv7V0wnHjVSWCS\nlHII8CLwyTnPT24RtYrTdj4XIjZA/YIe0bIYL7Wgil+PFXLT+FC9KKgZGyEEr8+LxUoheGjNEZpN\nQHyptLqBxzckEuXrxAOXRhh7OnphoJ8zl0R58/muk9Q0aJdBnJBbjqu9ld56iLTGIOJVUsp4KaWm\nQGMP6q7uBifAzQ53B2utK3o/+DMDe2sFS8aF6GZiJoiviy0vXjmYQznlfGxkhXspJf/+LomKuib+\ne81Qo/VKNQRLp4RTXtvEt/u0cyWP5JYTE+BqkK1vQ4pXabgF+KXV7xL4XQhxUAhxuw7m0y5CCGK1\nrOjNLq3hx4R8Fo8J7vFbix0xO9afmTF+vP17Gsn5+q+Cbo/vDp9ic3IBD14ayUA/4/ar1TfDg9wY\n19+DT7Yi9pkNAAAgAElEQVRnUt/UvZaetY3NpBdVM9QA8RAwcGBVCDEZtRF5rNXDE6SUQ1G7Q0uF\nEBPbObfL4lVtERvoSlpRFdXdXC5+vD0TS4UFt+pZhtEUEELw0pzBuNlb8+DqBKNITuSX1/HsD8nE\nBbtx+8Qwg49vDJZODqeoqoENh9qUYOqQpFOVKFXSIDszYCDxKgAhRAzwGTBHSnm2pZOU8lTL9yLg\nO9Tu0Xl0R7yqLUaGuCOlOtegq1TVN/HdoVNcOdQfb2fDqKgZGzcHa16bF0NqYRXv/J5u0LGllDy+\n4SjNSsmbC2J7bEZwVxnX34Nof2e+2ds9Dd/4EyUIoV7VGAJDiVcFARuA66WUaa0edxBCOGl+Bi4D\nknQwp3aJC3HDzkrB9m4Um/2YcJq6JiULRwXpYWamy+RIbxbEBfDRXycM0iFOw+r9uWxPK+aJGVFn\ne+X2BYQQXDsqiOT8So52w/XenlZMbICrwdxtQ4lXPQN4AB+cs5XrA+xsEbXaB2ySUm7Wdk4XwsZS\nwdj+Ht2qWF29P4dIHyeDbJuZGk/NGoSPsy0PrU3otq/eFfLO1PLSpuOMDfPoMT1CdMnsWH9srSxY\ntb9rAdby2kaO5JYzcUD3V+tdRScxESnlz1LKAVLK/lLKl1se+0gjYCWlvFVK6dayjXt2K7dlRye2\n5Stac66+mTTAi6zSWrK6kANxLL+ShLwKrhkZ2GOLvbTB2daK166OIaOomv/+rt+WilJKHmvJmO1p\nPUJ0hYudFTOG+PHDkfwuNYzamVGCSqrvcUPRpzJWNWhe4O3pnV+NrDmQi7XCoscX2mnDxAFeLBwV\nxKfbM/XaUvGbvTnsyijlyZkD9Sa41BO4dmQQVQ3N/Hy0oNPn/JVajIudlV57qp5LnzQiIZ4OBLnb\ndzouUt+kZMOhPKYN9u3127od8eSMKPxc7HhET25NbkuXtQnhnizqY7GncxkZ4kaYpwOrO+nSSCnZ\nnl7MhHBPgzaq7pNGBNSrkfgTpZ3attySXEBlfTPXjuwdhXba4NTi1mSW1PDmr7oVCFepJI+uS8RC\nCF6bF9Mn3cbWCCG4ZmQg+7POkFHUceez1MIqCisbDOrKQB83IrWNSg5mdbwsX7Uvl0B3O8aGeRhg\nZqbPhAhPFo8J4rOdJzmQVaaz6369N5vdmaU8NXMg/Vx7VqtDfXHV8AAsLQRrDuR2eOxfLcL1Fw3w\n1Pe0/kGfNSJj+3tgpRD81UFcJKukht2ZpVwTF9gnA3zt8cR09Rv94bUJOhFLzy6t4dWfU5g4wItr\nzCu+s3g52TB1oA/rD+Z1WH2+Pb2YSB8ng/ea7bNGxMHGkrhg97PWuz1WH8jFQsC8EeYbuzUONpa8\nPi+WrNJalm1J0epaKpXkkbWJWCoEr11tOgLcpsI1owIprWnk9+OF7R5T09DM/pNnmBRpWFcG+rAR\nAZgU6UVKQRWFlW138WpSqlh3MI8pUd74uvSNDNWuMLa/BzeODWb5rqxuZQBrWBGfxb6sMp6ZNajH\ndWw3BBMjvPB3sWXV/vZdmj2ZpTQqVUyMMBsRg6IJQLWXeLYtpYjiqgauGdm3dwkuxGPTowhyt+eR\ndYndEsA6WVLDsi0pTInyZt4IoxR3mzwKC8H8uEB2pBeTd6a2zWP+SivGzkpBXIhhUt1b06eNSJSv\nE95ONu1u9a7en4u3kw2TjbBE7CnYW1vyxvxYcs/U8tovXXNrlCrJI2sTsFZY8MpcsxtzIebHqQ3s\n2gN5bT6/Pa2Ysf09jNJlr08bESEEEwd4sSO9BOU5ejQFFfVsSy1i3ogAkxaHNgVGhbpz07gQvtid\nTfyJkk6ft3zXSQ5kn+G52dFmd7EDAtzsuSjCi7UHcs+7V7NKasgqrWVihGF3ZTT0+XfHpAFeVNQ1\nndfAed3BXFSSXtOEWd88Oi2KEA97Hl2X2Kk2CxlF1by+JZWpA336dBZwV7h2ZCD5FfXsOGdHUZN5\nPclIEq593ohMCPfEQvAPl0alkqw+kMvYMA9CPPtO9ag22FkreGN+LKfK63i1A11fpUryyLoE7KwV\nvHJVzxWeMjRTB/rg7mDN6nMCrNvTiglytyfEwzglAn3eiLg5WBMT4PqP4OruzFJyy+q4dpR5FdIV\n4kLcuXVCKN/szWFnevtuzWc7MjmcU87zs6PxdjK7MZ3F2tKCq4f347djhZRUq/VpGpqVxJ8oZeIA\nT6MZ4z5vREDt0iTklp/VoV21PxcXOyumRfsaeWY9j4cuiyTMy4HH1idSVX++9EF6YRVv/pbGtGif\nHqufa0yuGRlIs0qy4ZA6wHow6wy1jUomDTCeiJfZiKDOF1FJta5uZX0TW5IKuHKof6/SkzEUtlZq\nt+Z0RR2vnOPWNCtVPLwuEQdrBS9dad6N6Q7h3k7EBbud3aX5I6UIK4VgbH/jlWSYjQgwNMAVPxdb\nfkzIZ1tKEY1KFVeYPyW7zfAgN267KIxv9+X+I9b0yY5MEnLLeWHOYLycbIw4w57NrBg/0ouqySiq\n4sfEfCYN8DKqdImhxKuEEOLdlucThRDDO3uuIbCwEMyO9eevtGJW78/F09HGYP0peysPXDqA/l4O\nPL4+kcr6JtIKq3j7t3SmD/ZlVoyfsafXo7msxc1+8afjFFY2MHuocXe3DCVeNR2IaPm6HfiwC+ca\nhNlD/WlWSeJPlHLpIB9zsZ2WaNyagsp6XvjxGA+vTcDR1pIXrzTvxmiLv6sdMQEu/JVWjL21gqkD\njStqbhDxqpbfv5Rq9gCuQgi/Tp5rEAa10jOZFu1jjCn0OoYFuXHbxDDWHcwjMa+CF+ZE4+lodmN0\nwcUtOSGxAa7YWxtXhdFQ4lXtHdNp4Std6c60R+tPx5A+1Flc38wa8ndsyZDNg3s7tlbqt669tfGD\n/z0msKor3Zn2aJ1KvDm58z0tzbRPs1LFv78/evb3VzZdOAnNTOdJzq8EoKYbRY+6xlDiVe0d0ynh\nK0PQukPXxiP5xphCr+Pj7Zkk5lXw/qLh3DmpP6v253ZLqsPMP6luaOb3Y+reIgeyzlBRe34+jiEx\niHhVy+83tOzSjAEqpJSnO3muQdiSXIi1pQWPTIvk+OlK0gqrjDGNXkNqgVoxb8YQX2bG+HH/1AjC\nvR3P7taY6T6/JhfQ0KziqZkDaVZJ/khtv1mRITCUeNXPQCaQAXwK3H2hc7WdU1eRUrIluYAJ4Z4s\niAvEQsAP5tVIt2lWqnhknXo35oU5g4G/d2sKK+t5+SezW6MNG4/kE+Bmx5LxoXg72bAlqYcbEeiU\neJWUUi5teX6IlPLAhc41NMdOV3KqvI5p0T54OdkwPtyTjQmnkFJ2fLKZ89C4MS/OGfyP3Zihga7c\nPrE/qw/k8mdqkRFn2HMpqW5gZ0YJs2P9UVgILov24a+0YoOoErZHjwms6pMtyYVYCLhkoHprd87Q\nfuSW1XEox3C6s72F1IIq3v49jZlD/JjZRlLZ/VMjiPB25IkNR81uTTf4+ehplCrJnJYEs2nRvtQ1\nKdlxgYJHfWM2Iqh9zLhg97OfmtOifbCxtOCHI0aJ8fZYmpQqHl6bgLOtFS/MiW7zGFsrBa+3uDUv\n/XTMwDPs+Ww8kk+UrxORvk4AjA71wMnWki1G3FHs80Yku7SGlIIqLmuVYOZka8XUgT78lHiaZuWF\n2/Sb+ZuP/zrB0VMVvHjlYDwukFQ2NNCVOyb1Z82BPLaZ3ZpOk1tWy8HsM8we+nfujbWlBZdEebP1\neKHR7tU+b0R+TVYHpc4t+5891J/SmkZ2neh+F/O+REpBJe9sTWdmjB8zhnRcG3PWrVl/lIo6s1vT\nGX5IUAf7z22hMC3alzO1TezvhBCbPujzRmRLcgED/ZzPE46+ONILJ1tLNppdmg75hxszu2035lxs\nLNW7NcXVDby8yezWdISUko1HTjEyxI0At3/eq5MivbCxtDCaS9OnjUhxVQMHc860WStjY6lgxmA/\ntiQV6EThrTfz8V8nSDpVyUsduDHnEhvoyh0Tw8xuTSdIKagirbC6zYpde2tLLorw5LdjhUbZUezT\nRkT9op/vymiYM9SfmkYlW1OMuw9vymjcmFkxfkzvhBtzLveZ3ZpOsfFIPpYWgpntvMaXRftyqryO\npFOVBp5ZHzcivx4rIMjdnqiWSPe5jA7zwNvJxpwG3w6t3ZjnO+nGnEtrt8a8W9M2KpXkx4R8Lorw\nxN3Bus1jpg70wUKo72lD02eNSH2TkvgMde+Q9vpbKCwEc4b682dqEUXtSG32ZT78s3tuzLlo3Jq1\nB/P4w7zqO4/4E6WcKq/jygtIa7g7WBMX4s7W44Z3C/usETmcU06jUsW4DnpTLhodTLNK8vXeHAPN\nrGeQdKqCd7emMzvWv1tuzLncNzWCKF8nHlt/9GzDbDNqlu86iaejNZcPvnDj8HH9PTheUGlwt7DP\nGpG9J0sRQi1zcCFCPR2YHOnNyr3ZNDSbA6yglil4eG0Cbg7W7SaVdRWNW3OmppFnfzB4+ZTJklVS\nwx+pRSwaHYyN5YV7h4wO9UDKf1akG4K+a0Qyyxjk54yLnVWHxy4ZH0JJdSM/JZw2wMxMn3d+Tyel\noIrXrh6Cq33bPnp3GNzPhXunRLDxSD6/HDW/1gAr4rOwtBAsHtOxqPywIFesFRbsPWk2InqnoVnJ\noZwzjAq98CpEw4RwTyK8HVkef7LPF+UdzjnDR3+dYEFcAFOidN9G8u7J/RnSz4V/f590VqCpr1JV\n38S6g3nMivHvlMiXrZWC2EAX9mYaNkGyTxqRo3kVNDSrGB3aOa0OIQQ3jQ8h6VQlB7KNkxVoCtQ1\nKnloTQJ+LnY8PUs//bStFBa8uSCW6oZmntxwtE8b7XUH86huaGbJ+JBOnzM61IOk/MpO6SHrij5p\nRDTLvc6uRADmDuuHi50Vy3ed1Ne0TJ7Xt6SSWVLDsnkxONl27AZ2lwE+Tjx06QB+PVbI9300Y1il\nknwRn8WIYDdiAlw7fd7oMHeUKslBA37YaWVEhBDuQojfhBDpLd/PE2sRQgQKIbYJIY4JIZKFEPe1\neu45IcQpIcSRlq8Z2syns+zJLCXSx6ndPfe2sLe25NqRgWxJLuRUeZ0eZ2ea7MksZXn8SW4YG8z4\ncE+9j3frRWGMCHbj2Y3JFFT0ve31balFZJXWctO4kC6dNyLYDUsLYVCXRtuVyOPAVillBLC15fdz\naQYeklIOAsYAS8/RlvmvlHJoy9fPWs6nQ5qVKg5mdz4e0prrxwYjpeSr3dl6mJnpUtPQzCPrEghy\nt+fx6VEGGVNhIXhjfiyNShWPrU/sc27N8l1Z+Drbdritey721pYM7ufCPgMGV7U1InOAL1p+/gK4\n8twDpJSnpZSHWn6uQt0G0WiSXUn5ldQ2Khkd1nUjEuBmz7RoX77dl9On6mle+fk4eWfqeGN+rEE1\nTkI9HXhi+sCzyoR9hbTCKnZmlHD92GCsFF1/i44Ocychr9xg96i2RsSnpeEyQAFwwXC9ECIEGAbs\nbfXwvS3Smp+35Q7pGs0yrzsrEYAl40OpqGviu8N9w1ffnlbMN3tzuHVCKCM7yKnRB9ePCWZsmAcv\n/nSM3LJag49vDJbvysLG0oJFozre1m2LMaEeNCklh3MMExfp0IgIIX4XQiS18fUPpTqpXm+2u+YU\nQjgC64H7pZSaKqEPgTBgKHAaePMC5+tEvGrvyTLCvBw6tWXWFiND3Ij2d2ZFH9jurahr4rH1iYR7\nO/LQZZFGmYOFhWDZvBiEEDy6LhGVqne/5uW1jXx3OI+5w/rh1oWYXWtGhLhhIWCPgVyaDo2IlHKq\nlHJwG18bgcIWOUxavreZuC+EsEJtQL6RUm5ode1CKaVSSqlC3QV+1AXmobV4lVIl2Z9VxuhurkJA\nvd27ZHwoaYXV7Mro3Q2LXvjxGEVVDbw5PxZbK+MprQW62/P0rIHszizly91ZRpuHIVi1P5f6JhU3\ndWFb91ycba0Y5O/MvpOGuT+1dWd+AG5s+flGYOO5Bwh1ddv/AcellG+d81zroou5QJKW87kgx09X\nUlXf3On8kPaYFeOHh4M1K+J773bvb8cKWX8oj7sv7k9sYOe3GPXFgrhAJkd68Z/NKWQWVxt7Onqh\nWaniy/gsxoZ5EOXr3PEJF2B0qAeHc8oNUqqhrRH5D3CpECIdmNryO0IIfyGEZqdlPHA9MKWNrdxl\nQoijQohEYDLwgJbzuSCa/JDuBFVbY2ul4LrRQWxNKSK7tEYXUzMpymoaeWLDUQb6OXPvlAhjTwdQ\nrwD/c3UMNpYKHl6b8A/Z097Cr8cKya+o71JyWXuMDnWnoVlFQm6F9hPrAK2MiJSyVEp5iZQyosXt\nKWt5PF9KOaPl551SSiGljDl3K1dKeX2LDk2MlHJ2qyCtXtibWUqQuz1+LnZaX2vxmGAsLQQr4rO0\nn5iJ8fTGJCrqGnlrQSzWlqaTj+jjbMvzs6M5lFPOpzsyjT0dnbN810kC3e3OSpdog2bjwBD5IqZz\nh+gZVUs8pLu7Mufi7WzLzCF+rD2QR1Uv0k/5MSGfTYmnuX/qAAb6abek1gdzhvpzebQvb/2a1quk\nTpNOVbA/6ww3jg1BYdF2f5uu4GpvTZSvE/sMUNHbZ4xIelE1Z2qbtAqqnsuS8aFUNzSz7mCezq5p\nTIqq6nl6Y9LZJkGmiBCCl+YOxsnWkgfXHKGpl0h6LN+VhYO1ggUjAzs+uJOMDnXnYPYZvb9GfcaI\naCyytkHV1sQGujI8yJXlu7J6/M0speSJ9Uepa1Ty5vxYLLuR5GQoPB1teHnuYJJOVfK/PzKMPR2t\nOV1Rx48J+cwbEYCzDmuSRod5UNuoJDlfv31XTfdO0THHT1fiYmdFoLv28ZDW3DMlnJyyWtYc6NkZ\nlSv35bA1pYhHL48i3NvR2NPpkMsH+3HVsH68vy3DoMVm+uDdremAul5Ilwzp5wKo73190meMSFpB\nFZE+Tu32U+0ukyO9GRnixju/p/fYVPgTxdW8+NMxLorwZEkXC76MyXNzovF1tuXBNUcMWvquS04U\nV7PmQB6LRgedp32kLf1c7bC3VpBaoN/YUZ8wIlJKUgurGOCr+09YIQSPXh5FUVVDj9ypaVKqeGD1\nEWyt1O0JLXQQ1DMUzrZW/PeaoeSW1fLijz2zU/xbv6ZhY2nBPVPCdX5tCwtBhI+T3gPQfcKIFFTW\nU1XfTKSWCTztMTLEnSlR3nz4ZwYVtT1rp+bdrekk5lXwn6uG4OPcvVIAYzIq1J27Lu7P6gO5bE4y\nnqh1dziaV8Gmo6e59aKws2LyuibKbER0Q0rLci7Sp219GV3wyLRIqhqa+Wj7Cb2NoWv2Z5Xx/rYM\n5o8I4PLB2ndsNxb3XTKAIf1ceGJDIoU9SNpj2ZYU3OytuO2iUL2NMcDXiZLqRr22muwTRiTNAEZk\noJ8zc2L9Wb7rZI+4kavqm3hg9REC3Ox5tpvCU6aCtaUF/71mKHVN6i70PaFILz6jhB3pJSydHK7X\nLnGaez5Nj3GRPmFEUgur8HW2xcVef/8sgAcvjaRZKc9G202Z5344Rn55Hf+9JhZHG8P1CNEX4d6O\n/HvmIHakl5h8kZ6Ukte2pOLvYsviMcF6HSuyRd0xVY8uTd8wIgVVDGhHKlOXBHnYs2h0EKv355JV\nYro1NZsST7P+UB73TA5nRLDhe4Toi8Wjg5gc6cWrv6SYdDbrluRCEnLLuX/qAL1XR3s6WuPuYK3X\nHZpeb0SUKkl6UTWRPobJfbhnSjhWCgve+i3NION1lYKKep787iixAS7ce4lpFNfpCiEEy+apV1b3\nrzpikmJjzUoVb/yaSn8vB64arv8Gf0IIBvg4mlci2pBdWkNjs4oBeoyHtMbbyZZbJoTyQ0I+yfn6\nr6DsCiqV5OG1CTQ2q/jvNUO71XrP1PFysuG1q2M4drrSJA35hsOnyCiq5pFpkQbLCo70cSKtoEpv\nTbR63110Dpplrbb9GbrC7ZPCcLW34vUtqQYbszN8vuskOzNKeOaKQYR5mX5WaneZOsiHRaOD+GR7\nJrtPmE7jqPomJW//lkZsgAvTorvWgFkbIn2dqWlU6k2loNcbkZSCKoTAoKnczrZW3H1xf/5MLWaP\ngdXI2iOloJJlm1OZOtCHa3VY5GWqPDVzICEeDjy45ojJ5O58vSeb/Ip6Hrs8SueZ0xcisiXJUl9x\nkV5vRNIKqwh2t8fO2rDt/W4YG4Kvsy3LNqcYvRdrfZOS+1cdwdnOiteuHmLQG9hY2Ftb8vY1Qymq\nauDpjXptmNcpquqb+ODPE1wU4ck4A+j2tCbCR787NHoXr2o5Lqulg9kRIcSBrp6vDakFVQaLh7TG\n1krBfVMjOJRTzu/H22w9azDe2JJKSkEVr8+LwUNPmZGmSGygK/dfEsEPCflsNLKS3mc7TlJW08gj\n0wzf8NrZ1gp/F1u95YoYQrxKw+SWrmZx3Ty/y9Q3KckqrSXKANu7bTF/RABhng68viXFaO38dmWU\n8NnOk1w/JpjJUd5GmYMxuevi/owIduOp75PIO2McyYmS6gY+25HJjCG+XZLE1CWRvk5nM7d1jd7F\nq/R8/gU5UVyNUiUNkiPSFpYKCx66LJK0wmq+N4JOTXltIw+tSSDMy4EnZww0+PimgKXCgv8uGIpK\nJXlojXF6s76/LYP6ZpXRZDdAnf6eWVyjl743hhKvksDvQoiDQojbu3F+t9DszBjDndEwfbAvQ/q5\n8NZvadQ2Gq5cXUrJExuOUlLdwDvXDDN4TMiUCPKw57nZ0ew9WcZHfxm2timrpIZv9uQwf0QA/Y24\nIxbp40SjUqWXxuKGEq+aIKUcCkxHrcU78dwDOiF+1WXxqvxydQ1LoJtu+zR0BQsLwdOzBnGqvI5l\nmw235fvVnmx+SSrg4WmRDAlwMdi4psq8EQHMivHjrd/SDKZTq1JJHl2fiK2VBQ9cOsAgY7ZHQMt7\nQPOe0CUGEa+SUp5q+V4EfMffIlWdOr/l3C6LV5VUN+BoY2n0T+FRoe7cODaYL3Znsd8AjXOP5lXw\n0k/HmRzpxe067pbVUxFC8OpVQwh0s+Nf3x6mVI9VrRq+2pPNvpNlPD1rkNHbLHg5qQPq+qjmNYR4\nlYMQwknzM3AZf4tUdXi+NpRUN+Lp2D0pQl3z6OVR9HO149F1idQ36S8du7K+iaUrD+HhaM2bC4b2\nqCZD+sbJ1or3Fg2nrLaRB9fot9o3t6yW1zanMGmAF/NGBOhtnM6ieR+YohHpjHiVD7BTCJEA7AM2\nSSk3X+h8XVFS1aC3Zi9dxcHGkteujuFkSY3e0rGllDy+PpFT5XX8b+Ew3Lup5dqbGdzPhWdmDeKv\ntGK99X6RUvL4hkQsWlY/ppCX42hjiY2lBSXVjTq/tlY14FLKUuCSNh7PBzTiVZlAbFfO1xXF1Q2E\nm1B69/hwTxaOCuKzHZlMH+zLsCDdpsV8tSebn48W8MT0KOJCek91rq65bnQQezJLefPXNOKC3XWm\nRaTh23257Moo5ZW5Q/B31W1j8O4ihMDT0YbiKtNbiZg0JdUNZ31BU+HJGVH4OtvyiI7dGk0cZEqU\nN7eZ4yAXRJ/xkVPldbzy83HGh3uwcJRplRd4OdmYpDtjsjQpVZTXNpmMO6PBydaKV6+OIaOoWmfN\ni/4RB+lhzZaNhT7iI5ptdZWU/OeqGJNwY1pjXol0kdIW38/TyfTiApMGeDF/RAAfb8/kaJ527QJa\nx0HeWzQMN3McpNPoOj6y9mAe29OKeXx6lM7lH3SBl5O1XmIivdaIaJZtprYS0fDUzEF4OFjzyDp1\nf4/u8uVudRzk0WmRvapLmaG4bnQQs2L8ePNX7fJHCirqefGnY4wKdWfxaP22POwuno42lNU06Dxr\nt9caEc2yzdRiIhpc7K14Ze4QUgqqeH9b96QgE/PKeXmTOQ6iDZr4SJC7Pfd+e6hb8REpJf/+7ihN\nShXLro4xWXfSy8kGlYSyGt2uRnqvEWm5GbxMdCUC6uY5Vw715/1tGRzrol5qRZ05DqIr1PGRYZyp\nbeKBbsRHNh7JZ2tKEQ9fFkmIp4OeZqk9mlW5roOrvdaImLo7o+HZK6JxtVe7NZ0tjtLEQfLL681x\nEB0R7e/Cs1cMYntaMR92ob6mqKqe535MZniQK0vG608/RheYjUgXKalqxMFaYfSU945wc7DmpSuj\nSc6v5ONO3rxf7lbXxZjjILpl0aggroj1581fUzsVH5FS8sz3ydQ2Klk2LxaFia8G9ZW12muNSLEJ\n5oi0x+WD/Zg5xI93t2Z0KHVgjoPoDyEEr8wdTLCHQ6fiI5uOnmZzcgEPTB1g0Pab3UXzftD1Nm+v\nNSKmlPLeGZ6fE42jrSWPrG3framoa+KelYfNcRA9cm58pL2djJLqBp7dmExsgIteZTB1ib5S33ut\nEalpbMbRtucou3k62vDinMEk5FXw9PdJ5/VlbVaquGflIU5XmPNB9E20vwvPz45me1oxy7aknPd8\nfZOSO746SE1jM8vmxRpM+kFbhBA42VpSVa/bvjY9513WRRQWwmgtCbvLzBg/jp3uz/vbThDu7cit\nrdyVlzYdZ0d6Ca9dPcQcBzEAC0cFcSy/ko//yiTC2+lsJa4mqH0w+wwfXDf8rExlT0GpklgpdLuC\n7bVGxLIHGhGAhy6N5GRJDS//fJxgDwcuHeTDyr05rIjP4ubxoVwzMsjYU+wzPHPFIDJLqnlyw1FC\nPe0ZEezO//7I4Psj+TwyLZIZQ/yMPcUu06ySOg8A94x1WDewEILmHmhELCwEb84fypB+Lty36jCf\n7zzJMxuTmDTAiydnRBl7en0KK4UF7y8ajr+rLXd8dZCP/zrBW7+lcdXwftx9cX9jT69bKFUShY5r\nenqtEbFU9MyVCICdtYLPboijtlHJCz8dw85awf8WDesxvndvwtXems9uHElJdSOv/pJCtL+zyfQI\n6Q7NKolCx+5Mr70rFRYWPdaIAP/Ib7EQAiuLXvuvMnlsrf5+7e2tFT36f6FSSSxNyZ3pjPiUECKy\nRQld3xcAABHYSURBVLRK81UphLi/5bnnhBCnWj03Q5v5tKanxkRAveT817eHUVgIlowPobK+iYfW\nHtFrOz8zbVPd0MytXxzAydaSRaOD2J91xiSFwjuDlLIlJqJbI6htYFUjPvUfIcTjLb8/1voAKWUq\nMBRACKEATqFu1qzhv1LKN7Scx3koLHpmTATgtc0pbEst5sUrB3P9mGD8Xex4+efjvOWZxsNGUFDr\nq2iMeXpRNSuWjGRCuCcqleS9bRlE+DgyZ2g/Y0+xS2jeDia1EqHr4lOXACeklNlajtsh6pWI7oV6\n9M3aA7l8sj2TG8YGc/0YdUn5rReFcu3IQN7blsGGQ3lGnmHf4eVNx/kjpYjnZ0dzUYQXQghemDOY\nUaHuPLIukSO55caeYpdobnk/mNruTFfFp64Fvj3nsXuFEIlCiM91qcXbE1ciB7LK+Pd3SYwP9+Dp\nWYPOPq65eceGefD4+qMGkZ3o63y9J5vPd51kyfgQFo/5uz+ItaUFHy0egY+zDbd9eYDTFXVGnGXX\n0Lj3Bl+J6Ei8CiGENTAbWNvq4Q+BMNTuzmngzQuc3yXxqp4WE8k7U8sdXx2kn5sdHywagdU5OzGa\nmzfAzY7bvzygFyUzM2p2pBfz7A/JTIny5qmZg8573t3Bmv+7cSS1Dc3c9uUB6hr1JwGiSzQfqgZf\niehCvKqF6cAhKWVhq2sXSimVUkoV8Cl/i1q1NY8uiVcpLCxoVvYMI1LTErxrVKr49IY4XOyt2jzO\nxd6K/7tpJCoJt3xxgIq6JgPPtPeTUVTF3d8cIsLbkXcXDmv3DTfAx4l3Fw4jOb+Sh9fqV8NGVyiV\nRlqJdEBXxKcWco4rozFALczlb1ErrekpK5FmpYr7Vx8hrbCK9xcN77AaNNTTgY8WjyC7tIal3xzS\nqxBWX6Oosp6bVxzAxlLBZzfG4Whz4X2HSwb68PjlUWw6epq3fzf9HZuzKxEd5xsZQrxKo3x3KbDh\nnPOXCSGOCiESgcnAA1rO5yzOdpacqW00aUOiUkkeXZfIb8cKeWbWICYO6Jw86Nj+Hrwydwi7TpRw\n3Wd7dd7uri+SVljF3A/iKalu4JMbRpzVru2I2yeGMX9EAO/+kcFnOzL1PEvt0NwnzjouTNW7eFXL\n7zWARxvHXa/N+BciwseJhma1CnqYCQlYaVCpJE9+d5QNh0/x0KUDuKmLXbHmxwXiaGPJ/auPcPWH\n8axYMpJgD9NtzWfKxJ8o4Y6vDmJrpWDNHWMZ3K/zAuiaHq01jc28tOk41pYW3DA2RH+T1YKUAnUL\nzgE+ui0a7Lmpdx0Q1VJdmVpw4SY/xkBKyXM/JrNqfy73TA7n3ksiunWd6UP8WHnbGMprG5n7QTyH\ncs7oeKa9n+8O53Hj5/vwdbblu7vHdcmAaLBUWPDOtcOYOtCHZzYms2pfjh5mqj2pBVVYWgj66/hD\ntdcakQhvJ4SAFBMzIlJKXt50nC93Z3P7xDAeumyAVtcbEezGhrvH42xrycJP9rA56XTHJ5lBSsn/\ntqbzwOoE4oLdWXfXuE67MG1hpbDg/euGMWmAF098d9Qk83lSC6oI83LA2tK0YiImi521ghAPB5Nb\nibz5axqf7TzJjWODeWJ6lE4KuUI9HVh/1zgG+Ttz1zeH+L+dJ3Uw095Lk1LF4+uP8uZvaVw1rB9f\n3DwKF7u2d8S6go2lgo+vH8HYMA8eXpvAT4n5Opit7kgtrCLS11nn1+21RgQg0seJ1A56lhqSd7em\n8962DBaOCuTZK6J1Wgnq4WjDt7eNYdogX1786RjP/ZBs0kFlY1FV38TNK/az+kAu/5oSzpsLYnX6\nyWxrpd7ZGRHsxn2rjrAluUBn19aG6oZm8s7UnXXzdUnvNiK+TmSV1phEMtBHLb0orh4ewMtXDtFL\nf1RbKwXvXzecWyaEsiI+i7u+PmgSf7upUFBRz/yPdhN/opRlV8fw4GWReinpt7e25PObRjKknwv3\nrDzEtpQLpU8ZBs2KPFLHQVXo5UYkytcJKSG9yLirkeW7TvKfX1K4ItafZfP0q5CmsBA8PWsQz14x\niN+OF7Lw0z16UYLvaRw/XcncD3aRd6aO5TeNZMHIQL2O52RrxRc3jyLS14k7vj7IzvQSvY7XEWeN\niHkl0jU0L5gxg6vf7M3m+R+PMS3ah7cWGE6bZMn4UD5aPIKUgkqu+iCeE8XVBhnXFNmRXsz8j3Yj\nJay5Y2yn83G0xcXOiq9uHk2YpwO3frmfvZmlBhm3LVILKnG0sSTAzU7n1+7VRiTYwwFbKwujBVfX\n7M/l398lMSXKm/8tHH5ePYy+mRbty7e3jaGmoZmrP4wn/oRxPw0NjZSSb/flsGT5fgLc7PhuqTr4\nbEjcHKz5+tbR9HO14+YV+zlgpOLJlIIqBvg46sV969VGRGEhiPZ34c/UIoPWNihVkld/Oc6j6xO5\nKMKTD64brvNttc4yLMiNDXePw93emkWf7uVf3x4mv7znVJ52l6RTFSz4eDdPbDjK2P4erLlzLH4u\nuv8U7gyejjasvG0M3s62LPpsL2sP5Bp0/NLqBhLyyokJcNXL9Xu1EQG4cVwIJ4prDBYlP1PTyI2f\n7+PjvzK5bnQQn90Yh62VcaU8gz0c+PHeCdw7JZwtyQVMefNP3v49rVcGXYurGnhsXSJXvLeTzOIa\nXpk7hBVLRuFsq/0Wrjb4ONuy/q5xjAxx45F1iTz9fRKNzYbpd/P5rpM0NKu4fmxwxwd3A3GuSFJP\nIC4uTh44cKBTxypVkkve/BNHW0t+vGeCXhvsJp2q4M6vD1JU2cCLV0abpLxDblkt//klhU1HT+Pv\nYsvjMwZyRYxfj208rKGhWcnyXVm890cG9U1KlowP4d5L/r+9cw+Oqr7i+OcECpLySGIIiCEKJERC\nfUVMRIQEpZZSrdpipZPambaKUNHq1I46inXasaI4o5RBi2Otj9YHjgUtD0GKS3w/MCAJYcMrQAIh\na3gkRPLaPf1jLzSDu9lN9u4zv8/MTu5jd3PO79773XN/v989Jyfq4nE6HW4PC9c6WVq6mwnnpPJ0\nST4Zg88I2/9rbGln0qMbmDJ2KEtK8rv1WRHZpKoTAr0v4SORPknC3OIxlNc2UhrGHvLlZTX89JmP\ncHuUZXMmxqSAAIxMS2ZJST6vz76MlOR+3PlqGTf+7WO+qomvLF0nUVXWVdRx9ZOlLFizncJRaay7\newoP/Cgv5gQEvFPk758xjsVWGoFrFn/Apr3h6yd5+eO9NLV2MDeMJS4SPhIBaOvwULTwPUamJrNs\nzkRbbWl3e3hkVSUvfFRN4ag0lpTkx00NYLdHeeOL/TyxzklDcxsz8zP5w/RcMgaF75fRTpx1Tfxp\nZQUf7mwgO2Mg86/JoyhCIy92sL2ukdte3sSBoyf447XjKSnMsjUiPNHm5orHNnB+5hBe+JXfVD1+\nMZFIJ/r1TWL2lNF8Vn2Yz/bYp/quplZKnvv0VHW6f95SGDcCAt4obVZBFhvuKebWyaNZsbmWqQsd\nPO3YGdN5Sg43tzF/RTk/XFRKeW0jD1+bx5rfTY4rAQE4b/hg3r79CiZlp/PginLuffMrW9v9tc/3\n0dDcxryp2bZ9py96RSQC/1flvBGDeenXBSEr/ie7G7jrtc0cPdHGgp9cwPUXx1fmb1/s+bqZR1ZV\nsr7yECPTBnD3tLFcNW6YLc+V2EHdsRb+s+UAizfsoLnNTUlhFndPGxv3xc3dHuWp9VUs3rCTCzOH\n8ORNF4WcvqKl3c3UJxyMTEtm2W09i76DjUR6jYgAPFu6i7+s3s60ccNYOPOCbp98qorD6eIZxy4+\nqz5MZuoAlt58CeNHdP/x8Vjm/R0u/rxyG1WHjtMnScjPSqE4N4Pi3KHknTU4Yp2w7W4Pm/YeweF0\n4XDWn5o0ODknnfnX5NmeFyParK2o4/fLttDc1sGM753FnKIxnJ/Z/XNrt+s4814pY9vBRv51SyGT\nstN7ZE9EREREbgQeBsYBBarq88oWkenAIqAP8JyqnsyAlga8DpwLVAM/U9WASTF6KiKqyvMfVrNg\nTSXpA/uzaNbFFIxKC/i5DreHVVsP8oxjF9vrmhgx5AxunTKamy4dSXK/xKyJ7vYoZfu8F/B7znoq\nDngT2mQM6k/R2KFMPS+DSdnptkcphxpbcDjrcThdfLDja5paO+ibJEw4N/WUkOUOGxT3o0n+cDW1\n8o8P95zqEJ2ck87cojFMHHNmUD6/uamG+W+V079vEgtnXsi0vEAFGPwTKREZB3iApcA9vkTEKlhV\nhTc9Yg3wOfBzVd0mIo8DhzsVv0pV1XtP/47T6amInGRrzTHuePVL9h3+hrumjeX2qdk+p6O3tLt5\n44v9LC3dTc2RE+RkDGRO0Rh+fNGIiM8+jTb1TS1sdLpwVLl4v8pFY0sHfZKES7JSKcod2uMopd3t\n4cu9R3BUuXA4XVQe9IrV8MFnUJw7lOLcDCZln8mgGBxpCSeNLe288uk+/v7BHlxNrVyYOYS5xWP4\nft5wn+fq8dYOHlpRzr/LaikYlcaiWReFPLkuorczIuLAv4hMBB5W1R9Y6/cDqOqjIuIEilX1oJW0\n2aGqAUu8hSoi4G30B5dvZcXmA5ydMoDkft+eEFbf1MqxE+3kZ6Xw2+JsrjwvI6wPz8ULHW4PZfuP\nnooYTkYp6QP7k+onU70/6hpbaGrpXdFGd2hpd7O8rJalG3dR3fANwwb39zl0fbi5jSPftHHnVTnc\ncWWOLc9oxZKIzASmq+ot1vrNQKGqzhORo6qaYm0X4MjJdR/fMxuYDZCVlXXJ3r2hF9FTVd7afIB1\n23zPZh3wnb7cdOlILj031ZzQXVDf2MLGKhcf727o9uhCSnI/puSkMyk7vddFG93B7VHeKa/jnYo6\nn5Ud+yQl8YvCLApHfyuVcY+xTUREZD0w3MeuB6zaM7aIiLXviKoGrIJnRyRiMBi6JlgRCdgrqKrT\nQrSlFuicvCHT2gZW8atOtzPRz95iMBi6RSR6Bz8HckRklFVKcxbeolfQveJXBoMhBglJRETkBhGp\nASYCq0RkrbX9VPEqVe0A5gFrgUpgmapWWF/hs/iVwWCIH3rVZDODwRA85tkZg8EQEYyIGAyGkDAi\nYjAYQsKIiMFgCIm47FgVERcQzJTVdCDeU5wngg+QGH4kgg8QvB/nqGrAJC1xKSLBIiJfBNO7HMsk\ngg+QGH4kgg9gvx/mdsZgMISEERGDwRASiS4iz0bbABtIBB8gMfxIBB/AZj8Suk/EYDCEn0SPRAwG\nQ5hJKBERkRtFpEJEPCLit/dZRKaLiFNEdlppGWMGEUkTkXdFZIf112d+FRGpFpGtIrJZRGLmQaJA\nbSte/mrt/0pEuleWLQIE4UOxiByz2n6ziDwUDTu7QkSeF5F6ESn3s9++46CqCfPCmzA6F3AAE/y8\npw+wCxgN9AO2AHnRtr2TfY8D91nL9wGP+XlfNZAebXu727bADGANIMBlwKfRtrsHPhQDK6NtawA/\npgD5QLmf/bYdh4SKRFS1UlWdAd5WAOxU1d2q2ga8BlwXfuuC5jrgRWv5ReD6KNrSXYJp2+uAl9TL\nJ0CKlZAqVoj18yMoVLUU6KpSm23HIaFEJEjOBvZ3Wq+xtsUKw1T1oLVcB/jL+a/AehHZZOWfjQWC\nadtYb/9g7bvcug1YIyLjI2Oardh2HOKuaEowOV9jna586Lyiqioi/obPrlDVWhHJAN4Vke3Wr48h\n/HwJZKnqcRGZAawAcqJsU9SIOxHR8OZ8jQhd+SAiQeWdVdVa62+9iCzHG4ZHW0SCaduot38AAtqn\nqo2dlleLyNMikq6q8fRcjW3HoTfeznSV8zUWCJh3VkS+KyKDTi4DVwM+e+EjTDBt+zbwS2t04DLg\nWKfbt1ggoA8iMtwqcYKIFOC9jhoibmlo2Hccot2LbHOP9A147+1agUPAWmv7CGD1aT3TVXh74R+I\ntt2n+XAm8F9gB7AeSDvdB7wjB1usV0Us+eCrbYE5wBxrWYAl1v6t+BlFi3Ef5lntvgX4BLg82jb7\n8OFV4CDQbl0TvwnXcTAzVg0GQ0j0xtsZg8FgI0ZEDAZDSBgRMRgMIWFExGAwhIQREYPBEBJGRAwG\nQ0gYETEYDCFhRMRgMITE/wCLpMer2ub43wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(np.sin(2 * t), np.cos(3 * t))\n", "plt.axes().set_aspect(1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Несколько кривых на одном графике. Каждая задаётся парой массивов - $x$ и $y$ координаты. По умолчанию, им присваиваются цвета из некоторой последовательности цветов; разумеется, их можно изменить." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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hJxRkXQKXPw0DLvf6peg1jQ5jSMNdmAtKailwz+A4skhScJCif3wk2UlWrhja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\n0cSGxxIXHkd6TDq5vXKJj4g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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, x, x, x**2, x, x**3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Для простой регулировки цветов и типов линий после пары $x$ и $y$ координат вставляется форматная строка. Первая буква определяет цвет (`'r'` - красный, `'b'` - синий и т.д.), дальше задаётся тип линии (`'-'` - сплошная, `'--'` - пунктирная, `'-.'` - штрих-пунктирная и т.д.)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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oGFq2lGUD2t1/mzSR+vna3VF8hxkYO1aydLTi0CHgl1+C5kYCxN506aLh+RUW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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 4 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, np.sin(x), 'r-')\n", "plt.plot(x, np.cos(x), 'b--')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Если в качестве \"типа линии\" указано `'o'`, то это означает рисовать точки кружочками и не соединять их линиями; аналогично, `'s'` означает квадратики. Конечно, такие графики имеют смысл только тогда, когда точек не очень много." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 1, 11)\n", "\n", "plt.figure()\n", "plt.plot(x, x ** 2, 'ro')\n", "plt.plot(x, 1 - x, 'gs')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Вот пример настройки почти всего, что можно настроить. Можно задать последовательность засечек на оси $x$ (и $y$) и подписи к ним (в них, как и в других текстах, можно использовать $\\LaTeX$-овские обозначения). Задать подписи осей $x$ и $y$ и заголовок графика. Во всех текстовых элементах можно задать размер шрифта. Можно задать толщину линий и штрихи (так, на графике косинуса рисуется штрих длины 8, потом участок длины 4 не рисуется, потом участок длины 2 рисуется, потом участок длины 4 опять не рисуется, и так по циклу; поскольку толщина линии равна 2, эти короткие штрихи длины 2 фактически выглядят как точки). Можно задать подписи к кривым (legend); где разместить эти подписи тоже можно регулировать." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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YXJwvlPz223DxxUFHIyIipc7q1bBkCWzfHvJDV6tWLeMUq/Pdr2rVqgCsW7cu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\nc24nMBMYbmaVzKwtcD4wPee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f7fXZZrbHzHZkPH4umasQEQmfnF3Tzz8fdESl3Jw5cNpp\nfoCpkkYpwG23+RJZ3bpF1qzonCI+YQSeAfYBdYCewDgza5nHvhWBAUBN4CSgAzA4xz43O+cSMx6H\nhylmkdBauDCr31EkFw0b+oHy4GdPr1oVbDyl1s6dfsUm5+CEE/x0dpF8/N//waWXRm5XdKaI/k02\ns0rAhcAw59wO59w84C2gV277O+fGOefmOuf2OedWAy8Cp5ZcxCJhsG4dtG3razTOmxd0NBLBevWC\n886DP/+Evn3VNR2IYcPg99/hmGP8tkgBGjWCl16KnALdeYnohBFoDqQ655Zme24RkFcLY07tgMU5\nnhtlZpvM7HMzOyMEMYqEV926fgV653zLxc6dQUckESqza7pGDb+s2IQJQUdUCt16K5x9NkybprWi\nJaZEesKYCCTneC4ZqFzQG83saiAJeCzb00OApkADYDzwjpkdms8x+pnZQjNbuHHjxqLGLhI6w4bB\n0UfDr7/CW28FHY1EsLp14Zln/PagQbB8eaDhlD5NmvjKy8ceG3QkIiEVaMKYMQnF5fGYB+wAquR4\nW1VgewHH7QaMAjo75zZlPu+c+69zbrtzbq9zbhrwOdAlr+M458Y755Kcc0m1atU60MsUKb5y5XyL\nxbvvwuV5zvsSAeCSS6BHD9ixwzdKa96FiBRXoAmjc+4M55zl8WgLLAXizaxZtre1Yv9u5r+Y2dnA\nBOA859wPBYUARPAQU5FsWreGc84JOgqJAmYwdizUqgWzZ/vli0VEiiOiu6SdczuBmcBwM6tkZm2B\n84Hpue1vZmfiJ7pc6Jz7Ksdr1cysk5mVN7N4M+uJH+P4YXivQkSk5NWqBVOmwJtvQqdOQUcjIgBv\nvAEbNgQdxYGJL3iXwN0ITAY2AJuBG5xziwHMrDGwBGjhnFsJDMN3Wb9vWXPT5zrnOgNlgZHAEUAa\n8D+gW44JNSIiMUMN0iKR44cf/HCRatXgp5/goIOCjqhoIj5hdM5tAbrl8dpK/MSYzO/b53OcjcAJ\nIQ9QRERKp88/h+bNfXOuSD727YMrr4SUFLjgguhLFiHCu6RFREQi0tq10LUrHHWUpqJLgUaOhO++\ng0MOgcceK3j/SKSEUSSapafDU0/Bq68GHYlI6eEcXHstbN7sJ6M1aRJ0RBLBvvoKHnrIT0abOhUS\nEwt8S0SK+C5pEcnHO+/AgAFQvbpfDaZ+/aAjEol9kyfDe+/5wWiTJkX2em4SqJ074YorIC0NBg6E\ndu2CjujAqYVRJJqdfz506QJbt2otOCmU9HR4+mmYMyfoSKLU8uX+Jg38D7JBg0DDkch2xx3wyy/Q\nsiU8+GDQ0RSPEkaRaGYGEyf6teA+/BDGjQs6IolwU6dC//7Quzdsz3cJBNlPWppfsHvHDrjwQhXR\nl3x98IGvh1q2LLzwApQvH3RExaOEUSTa1asHzz3ntwcNgv/9L9h4JKJdcYUfdrd8ue8ikyL45z9h\n3rys/3PqipY8bN4MV1/tt0eMiI2VIpUwisSCHj18zYY9e3xGsG9f0BFJhEpIgOnT/WqTEydqafJC\n++YbuPdevz1lSnTWRZES4Rxcdx2sW+eHlg8eHHREoaGEUSRWjB7tZ2t+/TUMHx50NBLBWraEhx/2\n29dc4z/YJB+7d/sbsdRUuPlmLZ0j+Zo+HV5/3c+Gfv55KFMm6IhCQwmjSKyoWtX/pTKDUaPgiy+C\njkgi2C23wFlnwaZNcNVVmi+VryFD/NIcRxwBjzwSdDQSwZYv9/cU4O/hDzkk0HBCSgmjSCw57TT/\n4Zae7gfna1aD5CEuDqZNy5ovNXZs0BFFqH//G8aMgfh4ePFFqFgx6IgkQqWlQZ8+/s9u9+5+O5Yo\nYRSJNQ884Gc1/P57VvkPkVzUr581X2rwYN+IJtls3pz1qf/AA3DccYGGI5Ht8899uao6dWJzTpQS\nRpFYk5CQVcNh8mSYOTPoiCSC9ejhc6I9e6BnT82X+kvmzIW1a+HUU33LvUg+2rWD2bN9Q3QsLi+u\nhFEkFrVokTXW6tprYdWqYOORiPbUU36s1bffZk0ELvW+/trfbMXazAUJq3btoEOHoKMIDyWMIrGq\nf3/o3Bm2bPEld9LSgo5IIlSVKr5ROi7OlxqcPTvoiCJAUhL85z++0nnTpkFHIxI4JYwiscrM14ur\nXduXBdm2LeiIJIK1aQN33+17Ynv18sP3Sr0zz/QruoiIEkaRmFanDnz2mR+JrULDUoB774VTTvEj\nGK65RqV2RCSLEkaRWHfEEX4xU5ECxMfDjBm+i3r1avjzz6AjEpFIER90ACIiEjkOPtiPYWzZ0k+4\nF5H9PfYYJCf7Vvn4UpJJlZLLFBGRwmrdOugIRCLX/Plw551+pcgOHeD004OOqGSoS1pEREq3ceN8\nYe7U1KAjkQi3bRtcdpn/VRk4sPQki6AWRpHSa/NmqFxZ/Y5Sun33nV8Rad8+P+OnY8egI5II5Zwv\na/59OBsAACAASURBVLt8ua+6NGpU0BGVLLUwipRGX34Jxx4Ld90VdCQiwdm+HS6+2CeL112nZFHy\nNX48vPaav89++eXSd6+thFGktFq7Fh5/HN57L+hIJEps3QopKUFHEUK//eZnLhx9NDz5ZNDRSAT7\n4QffEA0+cTz00GDjCYISRpHS6JRT4KGH/Hbv3rBmTbDxSMT76ivfKB1TSwcee6zvkp45EypUCDoa\niVA7d8Ill/j11vv2hUsvDTqiYER8wmhmNczsDTPbaWYrzOzyfPbtY2ZpZrYj2+OMAzmWSMwbPBi6\ndIGrr4ZatYKORiLcnj2+oPfDD8OHHwYdTQjVrQuHHRZ0FBLBbr0VfvoJjjzSr7teWkV8wgg8A+wD\n6gA9gXFm1jKf/b90ziVme8wuxrFEYldcHLz1ll88WIW9pQDt2sHw4X67Vy9f2Fsk1r34IkyaBOXK\nwSuvQKVKQUcUnIhOGM2sEnAhMMw5t8M5Nw94C+gV5LFEYkZpqTgrIXHnnfCPf8CmTVmlRURi1ZIl\n0K+f337qKT/UtTSL6IQRaA6kOueWZntuEZBfq2BrM9tkZkvNbJiZZX4iHsixREQkQ1wcvPAC1KsH\nc+fCffcFHZFIeOzYAT16wK5d0LNnVuJYmkV6wpgIJOd4LhmonMf+c4CjgNr41sTLgNsP8FiYWT8z\nW2hmCzdu3FjE0EVEYk/t2n696bg4X4du1qygIyqk1avVJCqF4hxcf33WuMVnnwWzoKMKXqAJo5nN\nNjOXx2MesAOokuNtVYHtuR3POfe7c26Zcy7dOfcDMBzokfFykY6Vcbzxzrkk51xSLU0KEBEB4Iwz\n4P77/Qdrz56wcmXQERUgORnat/d1FjdvDjoaiXBTp/qxixUr+rqLiYlBRxQZAk0YnXNnOOcsj0db\nYCkQb2bNsr2tFbC4sKcAMu8LinsskdJj7lx4992go5AIdtdd0KmTz78uugj27g06ojw45ysB/PKL\nD1blc6QA55wDZ53l6y22aBF0NJEjoruknXM7gZnAcDOrZGZtgfOB6bntb2adzaxOxvYRwDD8xJYi\nH0uk1PrmG98a07On/5AVyUWZMr4VpnFjX6PxttuCjigP//d/8PrrfnmO117zzUYi+ahd2w+16Nkz\n6EgiS0QnjBluBCoAG4AZwA3OucUAZtY4o9Zi44x9OwDfm9lO4H18gvhQYY4lIhlat4bu3X033oUX\n+lHfIrk46CCfgyUkwLhxMD3Sbr8//xzuuMNvT50KzZrlu7tIprhoyI5KmDnngo4hKiQlJbmFCxcG\nHYZIyUhOhhNOgKVL/UowU6Zo1Lfkafx4vxRzhQowfz4cc0zQEQEbNvibnzVrYOBAvwymSCliZl87\n55JCdTzl0CKyvypVfNNRhQowbZrPCETycO210KcP7N7tG6W3bQs4oNRUv37bmjXQtq1fnkZEikUJ\no4jk7uijsxLF/v19955ILsxg7Fi/NPOvv0bAfKk77oBPP4U6deDll7WSkUgIKGEUkbxdcYVfSDUl\nxVex1XpwkocKFfzckpkz/a9NYKZPhyef9KsYvfYaNGgQYDASyXbu9BPo16wJOpLooIRRRPL36KO+\n8N66db6/MWLrp0jQmv5/e3ceJlV17X38u6CJEEAQJxyCxkhAkSsXUdEgIsY5osExGkSDoqJinEeM\nchX1jQOoOOCE6FXBAdHrgENAIwEiDhiGIKKggMggg6ACDfv9Y1WHpruquhuqa9fw+zxPPd11zqF7\n1ebU6VX77L32bj5fKpoPP9ywJMe99/rtaJEkQoBevXx49mmnxY4mPyhhFJH06tWDESO8fsrEidCn\nj19tRXLJwoWerf70E5x9ts/CEUnhrrtg+HAvyv3AA7GjyQ9KGEWkattuCyNHQv368NhjusJKblm7\nFk4+Gb7+Gjp2hPvu06x+SemddzZUW3riCV/+T6qmhFFEqqd9e3jkEf/+4ot9NRiRXHD55fDuu9C8\nuQ+k3GKL2BFJjpo501cmWr/eVyvq3j12RPlDCaOIVN/pp3tNu9JSnwQzZ07siCRPfP55Lf3gNWtg\n+nQfOvHCC7DjjrX0iyTfLVsGxx4LS5f61/79Y0eUX5QwikjN3H67L7RaNmZs3brYEUmOu/deaN3a\nlxLMuJ/9DF57Dd57Dw48sBZ+gRSC0lI45RSYMcMrhv3v//ryllJ9ShhFpGZKSnwSzH77wa236qor\nVapb1z9X9OoF48fXwi8oKfGxiyIpXHYZvPmmD8d++WVfWlxqRgmjiNTcVlv5GnBHHBE7EskD558P\n553nFZmOOw6+/DJ2RFJMhgyBe+7xUQsvvgi77ho7ovykhFFENo1moUo1mfkf7MMPh0WL4JhjcmD5\nQCkKY8fCBRf49w89pNKcm0MJo4iI1Lqycp5t2vg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2 * np.pi, 100)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(x, np.sin(x), linewidth=2, color='b', dashes=[8, 4], label=r'$\\sin x$')\n", "plt.plot(x, np.cos(x), linewidth=2, color='r', dashes=[8, 4, 2, 4], label=r'$\\cos x$')\n", "plt.axis([0, 2 * np.pi, -1, 1])\n", "plt.xticks(np.linspace(0, 2 * np.pi, 9), # Где сделать отметки\n", " ('0',r'$\\frac{1}{4}\\pi$',r'$\\frac{1}{2}\\pi$', # Как подписать\n", " r'$\\frac{3}{4}\\pi$',r'$\\pi$',r'$\\frac{5}{4}\\pi$',\n", " r'$\\frac{3}{2}\\pi$',r'$\\frac{7}{4}\\pi$',r'$2\\pi$'),\n", " fontsize=20)\n", "plt.yticks(fontsize=12)\n", "plt.xlabel(r'$x$', fontsize=20)\n", "plt.ylabel(r'$y$', fontsize=20)\n", "plt.title(r'$\\sin x$, $\\cos x$', fontsize=20)\n", "plt.legend(fontsize=20, loc=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Если `linestyle=''`, то точки не соединяются линиями. Сами точки рисуются маркерами разных типов. Тип определяется строкой из одного символа, который чем-то похож на нужный маркер. В добавок к стандартным маркерам, можно определить самодельные." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 1, 11)\n", "\n", "plt.figure()\n", "plt.plot(x, x, linestyle='', marker='<', markersize=10, markerfacecolor='#FF0000')\n", "plt.plot(x, x ** 2, linestyle='', marker='^', markersize=10,markerfacecolor='#00FF00')\n", "plt.plot(x, x ** (1/2), linestyle='', marker='v', markersize=10, markerfacecolor='#0000FF')\n", "plt.plot(x, 1 - x, linestyle='', marker='+', markersize=10, markerfacecolor='#0F0F00')\n", "plt.plot(x, 1 - x ** 2, linestyle='', marker='x', markersize=10, markerfacecolor='#0F000F')\n", "plt.axis([-0.05, 1.05, -0.05, 1.05])\n", "plt.axes().set_aspect(1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Логарифмический масштаб\n", "\n", "Если $y$ меняется на много порядков, то удобно использовать логарифмический масштаб по $y$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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iDeipRSwCMpwHB3fBgLhQPPtZJnYd4fmCy7H/eBWmL0u3bOkxspvuOGRQLAIy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\nu8haigAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-5, 5, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, np.exp(x) + np.exp(-x))\n", "plt.yscale('log')\n", "plt.yticks(fontsize=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно задать логарифмический масштаб по обоим осям." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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bvVZXFD4XETO7kNBf6EzgIzNbZ2bTgikxrgTSXwBmNs/MtoX/vM3M\n5gVQXyKItA/vAH4VvsX+QOChKNQWjyLqr0b881Rdrf0V5O+rhjLAHTXu/h6gdRV14O6TY11DPHP3\nbELTGiUC+nmKXJC/rxrTJ4siQhuGVJcaPifHUn+dOvVh3ai/6iaq/dWYwiKPatc9zawHkEy1634C\nqL+CoD6sG/VX3US1vxpTWCwDRle7lcJEoBRYEZuS4pr669SpD+tG/VU3Ue2vBjFmYWbJhBawAHQH\nUsxsQvjxUncvIXRLhWnAIjN7EOgDzABmVpt61uCpv06d+rBu1F91E5f9FevFJwEtYOkF+HG+elVp\nNxB4i1DyFgD/ATSJdf3qr8T7Uh+qvxpbf2nzIxERqVVjGrMQEZGTpLAQEZFaKSxERKRWCgsREamV\nwkJERGqlsBARkVopLEREpFYKCxERqZXCQkREaqWwEBGRWv0/ycC+XLxDaSsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.logspace(-2, 2, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, x + x ** 3)\n", "plt.xscale('log'), plt.xticks(fontsize=15)\n", "plt.yscale('log'), plt.yticks(fontsize=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Полярные координаты\n", "\n", "Первый массив - $\\varphi$, второй - $r$. Вот спираль." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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Qp8t75Ta73U5Pnz5N6+rqqMlkCsv1vRXysVgstKqqiur1+rBcg9IZQaiqquLc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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 4 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.polar(t, t)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А это угловое распределение пионов в $e^+ e^-$ аннигиляции." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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DarVOJUy2Wife+H5+flNJfoKCgpaU8nAhBPhN9PbHTAuzSzmT+5w/fx4lJSVu\nvymTwuFEJpMhIiIC9fX12Ljxgk7weDy8//77iksuueSvhJAUSql33agVZM2Lh0qleveFF14IVihc\nHfYaGxshk8k8JqxdCp4ERK/Xo7y8HBs3bsRMhzRvcYpHWBBzaQOnYzQa0d/fj8HBQYyNjYHH40Eq\nlSIoKAhyuRwSiQQCgWDOUP++vj4kJiZ6PEYphclkgl6vx/j4OLq6ulBXVwdgInTdma+UjYjlAL+J\n23jMtPDnjRCCuLg4CIVClJSUICcnB3w+nxXhcBIbG4vy8nL09PS4ZOFPTU3FnXfeqX7xxRd/g4k1\niFY1a1o8xGLx3ksvvdRtuDI8PAyNRoPt27ezUu90AUlOTsbp06exefNmSKWL98/QjJkglwjgx2cm\nqpdSiqGhIfT19UGr1UIgEEClUiE+Ph4BAQFLHsbNhBACkUgEkUjk8rDZ7XaMjIxAq9WitLQUwIQD\nV2hoqJuT3GJxuvKPmRc/BRsREQEOh4OSkhKkp6fj1KlTrAgHMPFdbdq0CYWFhZDL5S4940cffVTy\nwQcfHCSEHKKU1jBeOYOsWfGYbbhis9lQXV2NzMxMxh+Q6URFRcFoNOLkyZPYtm3bkoQDmMjBz2Eg\nwc/Y2Bg6OzvR398PqVSKsLAwbNiwYVmGD57gcrmQy+WQy+XYsGHDVLLmc+fOwWg0Qq1WIyIiYknJ\nlwIXOWyZiVqtht1uR0FBAbZs2cKKcDgRCARISUlBVVUVcnJypnp8PB4Pf/nLX9bE8GXNGkxnG66c\nOXMG0dHRrK+tMjo6ip6eHqxfvx5nz55dsicqh2DRhkeHw4Guri6cOHEC9fX1CAoKws6dO7F582aE\nhoaumHB4QiAQICIiAtnZ2di6dSv4fD4qKytRUlICjUazqO9gKcOW6ZhMJrS0tCAxMRFNTU0e16tl\nEqVSCbFYjI4O14RGzuFLcHDwb1htwBJZk+IhFov3bt261W24MjQ0hNHR0UX5cywEo9GIyspKZGRk\nYP369Yx4ohIQOBb44FitVjQ3N+P48eMYGRlBZmYmcnNzER4evqJJjbxFIBAgJiYGeXl5SE5ORk9P\nDwoKCtDR0bGgvBz+U+LBjOdofHw8EhMTUV5eznqEdXJyMlpbW90igB999FFJSEjIwdU8+7LmxIMQ\nIgkKCnr29ddfdxkn2O121NbWYtOmTazm97RYLCgrK0N6ejoCAyfiKphwZeeQiaGLN9hsNjQ2NuLk\nyZPgcDjHtH1qAAAgAElEQVTYsWMHUlJSVjTv6lIJDAzEpk2bkJubC4PBgIKCArS3t886hTodLiEg\nBLDa5z/XE56MoyqVCtHR0aioqPCqDYvFGX9TU1Pj0utyzr4olcpDZJUmrF1z4hEcHPzQ/fffL5s5\nXGlubkZ4ePicsSNLxRkfs379erdZlaUKCCEEDsfc8uFwONDa2ooTJ06Ay51IgLNu3bpVNSxZKkKh\nEImJicjLy4Ner0dBQQF6enrmHM6MmW2gFAgSLdxBc65ZlcjISCgUClRXV7Pqy6JUKsHn89Hb67ri\nZFpaGr75zW+qBQLBtaxVvgTWlHgQQhQikeiOu+++28VtU6/Xo6+vD+vWrWOtbkopKisrERERMasf\nx1IEhMzT8xgYGEBBQQHMZjPy8vIQFxe3JoYmi4XP5yM5ORm5ubnQarUoKirC2NiYx3NHDBO2jrlW\n1fOEN9Ox8fHx4PF4OHNm1jWsGSElJQXnzp1zu2+eeuopqVQq/R9CyKr7sdeUeCiVyt89/vjj0pku\n33V1dUhJSWF1dqWxsRH+/v6Ijp47fmmxAkLguedhsVhw+vRpNDc3Izs7G4mJiV+pLOp+fn5IT09H\nSkoKTp8+jTNnzrjZQ3TGCc/ShfQ8vPXjIIQgNTUVY2Nj6OnpWdyH8AKhUIiYmBg0Nja67A8PD8fN\nN98s9/f3/z5rlS+SNSMehJDIwMDA6w8cOOByh2g0GnC5XFan1ZzOVUlJSV6dvxgBCRTxYLDaYbZd\neDB6enpQWFgIlUqFnJwczAz4+yohlUqRl5cHgUCAEydOuKyT4oxpkYq9E4+FOoARQrBlyxY0NjbO\n2vthgpiYGAwMDLjFvvzqV78KkEgkvyaEsONBuEjWjHiEhob+4ZlnnpFP76pTSnHmzBnMzBbGJHq9\nHg0NDcjIyFiQIXahAhIlF4PSiRgXp69Kd3c3tm/fDrVa/ZVY5Gk+OBwO4uLikJWVhYaGBjQ2NoJS\nCp1z2OJFz2OxnqN8Ph9btmxBZWXllDs+0xBCkJSUhIaGBpf9MpkM99xzT5BMJvsZKxUvkjUhHoSQ\nJJVKtWvPnj0u7e3o6EBISAhrb2S73Y7Kykps2rTJ6+jY6SxEQCLlE5/hbNcACgsLERQUhMzMzBVf\ngGo1IpFIsG3bNtjtdhQXF0M7MvGmDpqn57FUl/PAwEDEx8ejqqqKNQNqSEgI7Ha7S88KAH72s5+J\nRSLRvYQQZtxyGWBNiEdoaOhLL7zwgmL629dms+H8+fNISEhgrd66ujpERkZCJpMtugxvBSRqUjxK\napuwefNmxMTE+Hobc8DhcJCUlISEhATUNrYCmNvmwVSsSkREBIRCIVpbWxddxnykpKSgoaHBRaDE\nYjEeeeQRKZ/PLySEaAghdZ6uJRM8RwhpJoTUEEK2sNXOVS8ehJDcxMTEtJlxKm1tbYiMjGTNeKjR\naGAymRhxOJtPQCilGO5tB58D8GVhU/4jPuYnJCQEFj8Z5H4EA/2ek/swHeSWkpKCzs5Ot8zoTBEQ\nEACxWAytVuuy/+DBgwKFQhEBYP8cl18OIGFyuwPAS6w0EmtAPMLCwl58/vnnXZwqbDYbOjs7WfMk\ntVqtqK+vR3p6OmNv/9kExOFw4NSpU7CYzYhSSNAzsnILN69VzvbrsSUmGJ2dnTh37pzLG5uN6Fgu\nl4uNGzeyOnzZsGGD22fh8Xh47rnn/BUKxQ/nuPQaAG/TCUoASAkhC88R4QWrWjwIIanx8fGRqamu\nC2y1trYiKiqKNeeouro6JCQkMJYHxMlMAXE6nUmlUmzcuBGRcjE6hgyM1nmxozfbcH5Aj9QIKXJy\ncqYSQDlTBLAVVi+TyaBQKNDS0sJouU4kEgkCAgLc0hbecMMNXIFA8DXM/uyGA+ic9nfX5D7GWdXi\nERYW9tDDDz/s8qvb7XZ0dXWx1utwZswKD2fl+54SkNLSUpSWlkKlUiEuLg4AEKOQoG1AD9si3ay/\nipztGwWlE3lMCSHYuHEjCCE4deoUiouLWQurB4D169eju7ubtenbhIQENDc3u+zjcDg4cOCAhBCy\n4utzrFrxIIQE8Pn8b1566aUu+zs7O6FWq1nxrrTZbDhz5gyjwxVPqNVqmEwmmEwmTM+5uiVaBr3F\nPm8mcB8XcH5XqeETdiJnch+tVgs/Pz/MDGNgEi6Xi/T0dLe4FKaQSCTw8/NzW/f2lltuEXI4nOBZ\nYl66AURO+ztich/jrFrxCAgIuO1HP/pRwHSvUUop2traEBsby0qdzc3NiI6OXtS0rLc4HI6p+Jj4\n+HgXG0juugnTTvH5wbmK8DGN+u5RyCUChAZODDFNJhNKS0uRmZmJoKAg1NbWshqXIpVK4e/vz5r3\naUJCgtuSDTKZDGKxmAPA03ovhwHcOjnrkgtghFLa6+G8JbMqI6oIIUSlUv304MGDLkaHvr4+KBQK\nVnwfDAYD+vv7sWMHe+vvUEpx+vRpKJVKREZeeDk4UxoqA/wQr/RHccsg7twVx1o75mqfM5WgXq93\ny1FqNBpRXV09ld9UKBRO5SydL4UhW9T1jCBFHQhCiJuNQ6FQoKqqCk1NTVi/fj1rbUhMTERRURFC\nQ0MZ7xEHBQXB4XBgbGwMAQEBuOWWW3Ds2DEYDAYuIeQLQsjdAPgAQCl9GcAnAK4A0AzAAOA2Rhs0\njVUpHgB25OXlBc7scra2trokjWWS+vp6JCUlsRof09DQAD8/vykbB+CeE3XrOgX+dqoLVruD9ZXj\nbDYbBgYGMDg4CJ1OB4vFApFIBIlEArFYDJFINJXEmBACrVaLyMjIqeTHZrMZQ0NDU8mTRSIRpFIp\ngoODIZfLWf0uAWBIb8GZ3lHc87V4j8ZRQgjS09NRXl6Ojo6Oqe+aaYRCIaKiotDc3IwNGza4Hf/s\ns89w7733wm634/bbb8eDDz7ocnxgYAAHDhxAb28vbDYb7rvvPtx224VnPjY2Fm1tbUhLS8OhQ4cA\nTAh9UlLS2Llz5z6mlE7NUdOJbtbdrHzQmVBKV92mVqv/VVpaSqczMjJCi4uLKRtotVpaUlLCStlO\n2traaHl5OXU4HB6Pt7e308LCQvpRVSeNfuAIrWgbZKUdZrOZtra20sLCQnrs2DFaV1dH+/r6qMlk\nmvfa/Pz8WY85HA5qMBhod3c3raqqokePHqWlpaW0q6uL2mw2Bj/BBd4v75j4rlr6aX5+PtVqtR7P\ns1qttKCggA4MDLDSDkoptdvtND8/nxoMBpf9NpuNrlu3jra0tFCz2Uw3btxI6+vrXc557LHH6C9+\n8QtKKaUajYbKZDJqNpunjjscDnr06FFqsVhcrnvttdesCoXid3SFntNVZ/MghIQGBARsysrKctnf\n1tbGygwLnYyPSUlJYbxsJzqdDm1tbXMmKnLOwvCG2gAAxS3M2T0opRgYGEB5efnUurmbNm3Crl27\nkJKSApVKtWQ7jzMBslqtRnp6Onbv3o3ExESMjo6ioKAAVVVVi1ricS6+qO+DOsgPo+31c86q8Hg8\nZGZmoqamBiaTidE2OOFwOEhMTMTZs2dd9peVlSE+Ph7r1q2DQCDAzTffjA8//NDlnNDQUIyNjYFS\nivHxccjlchc3BEIIIiIi3Bbq3rdvH4/H491GCFmREcSqEw+FQvEf9913n8tas3a7HYODg1CpVIzX\np9VqIZFIWMt5arFYUFVVhYyMjHn9UqKiopAcF4WoQC4KGrVznusNlFJ0d3fjxIkTaG9vR0JCAnbt\n2oWEhATWI3QJIQgMDERSUhJ2794NtVqNhoaGiVgU7dI/m95sQ0HjAFKkNqSlpc07HSsSiZCamorK\nykrWMoOpVCqMjY3BYLjgq9Pd3e1i34qIiEB3t+vkx8GDB9HQ0AC1Wo20tDQ8++yzbkO+yMhIN/EQ\ni8W47rrrxDwe7yoWPs68rCrxIIQQHo/33X379rk8Zb29vQgNDWXFIMemMY1OLjyVmJjotThFRUXh\nGxsUKG8bRpt2cf4DlFL09/dPha5nZWUhIyNjyRneFwshBEqlErm5uUhNTUV7ezuKioqg0+kWXea/\n6rphsTtwY26C134cISEhUCqVrCX2IYR4nB2ZjyeffBIbN25ET08PqqqqcM8997j10vz8/CAQCNz2\n//SnPw1UKpUPL7nxi2BViQeATVlZWYKZb8XOzk5WjF0DAwMQCoWs9Tra29shFosRGhq6oOu+//WJ\nIdTzRxaekcxgMKC0tBRdXV3IzMxEWlraqsptGhAQgMzMTCQnJ6OhoQFVVVWwWLxfJhKYmI7988kz\nkIp4+Eb6wqbt4+PjMTIy4uY7wRShoaHQ6XRTCY3Dw8PR2XnB4bOrq8vNAbGwsBA33XQTCCGIj49H\nbGys2/AHAKKjo9He3u6yb/369fDz84smhCx7QNSqEg+FQnHz/v37XaZYTCYT7HY7K7lJGxsbWet1\nGAwGtLW1LSrXSIRMjO3xwSjssaOktNQrAaGUoqWlZWqMnZGRsaqTB0mlUmzduhXBwcEoLCz02k/C\nZDLhZFExageBS1NCweUsrDfqXHCptraWlczoTgFweoZmZWWhqakJra2tsFgs+POf/4yrr77a5ZrE\nxER8+eWXACYST507d85jSk2lUgmtVuvmt3LDDTeIOBzOpW4XsMyqEg8+n3/j5Zdf7nI3zFySjymG\nh4fB4/FYiWCllKKqqgppaWmLjr+5KTMCfWNWaIls3nB+5zSlyWTCjh07WM2qxiROQ+D27dvR3d2N\nqqoqrz5nLy8MeosdV25c3H0hFosRExPjlnSHKdRqNQYHB2GxWMDj8fDHP/4Rl112GZKSkrB3716k\npKTg5ZdfxssvvwwAePjhh1FRUYGNGzfikksuwVNPPeXxN+RwOJDL5RgYGHDZf9NNN/mr1WrW/Dlm\nZaWmeWZuACIyMjI0dAYnTpygRqNx5u4lc+rUKarRuFXHCO3t7bSmpmZJZRgtNpr62Gf03kOnpqZx\nrVar23kDAwP06NGjtL+/f0n1ecNcU7VLxeFw0La2Nnrs2DE6Pj7udtxoNNL8/Hyq0WjoFc8W0Ev+\n3zFqt3ue9va2vsLCQjo46HlK/NNPP6Xr16+ncXFx9Mknn/R4Tn5+Pk1PT6fJycl0586dLsdaWlpo\nc3Pzots3G1qtlp4+fdpln91up2FhYRoAPPpVnKqVSCTX7t+/3yVLktFoBCGE8ehWq9WKkZERVt7Q\nVqt1atWxpeDH5+KaTWp8WtcHqTLMYzh/Z2cn6uvrkZuby/iC3ssNIQTR0dFIT09HWVmZy9t1ugNY\n8ygH9T2j+EFeLDgLHLLMrC8tLQ319fVuwwC73Y67774bn376KRoaGnDo0CG3XopOp8Ndd92Fw4cP\no76+Hh988IHL8cjISHR2drqVvVQUCgWGhoZcyuVwONi9ezcXwFZGK5uHVSMeUqn0u9dee62L33l/\nf/+CjY3e0NnZiYiICNZmb2JjYxlJUrQ3MxJmmwPvl3W6hfM3NTWhp6cH27ZtW1UG0aUilUqRm5uL\nhoYG9PT0uHmOvnHyPBQSAa7bvPSo54CAAEilUrcpUG98M9577z1cf/31U4b8meLN5/MRFBTEuGGW\nEAKZTOaWpnDfvn1ylUp1gNHK5mFViAchxF8oFEbPDHjr6+tjXDwopazN3uj1egwMDMy7PIO3bIyQ\nYnu8Ai8fb4HebENUVBTCw8ORn58PnU6HrKysi2rBJycikQhbt25Fc3MzCgoKpoTjvHYc/z6jwYHc\naPjxmYkh2bBhA5qbm116dN74ZjQ2NmJ4eBi7d+9GRkYG3n77bbeyo6Oj0dbWxkg7pxMWFoa+Ptes\naZdccgkwEdOybKwK8eBwOJded911Lq9Pm80Gk8nE+CzL8PAw/P39WQmuO3fuHBITExnt0fzsmxsw\nqLfgT8VtACa68H5+frBYLKwug7jS2O122O12CASCqancNwtbIeBxcCCXGXEGJtbLjYqKWvBDbrPZ\nUFlZiY8//hiff/45Hn/8cbc1V2Qy2VTcD5MEBwe7OdqJRCIkJiYKCSHuwTUssSrEIyws7LabbrrJ\nxdlicHCQFZtEV1eXy1uFKZyRqCEhIYyWmxEtw9c2hOCV4+dRd64FIyMjyMvLQ2Rk5JIX116tOIcq\naWlp2L59O5qbm3GmrQd/rezCdZvCERLAbMqE6OhodHZ2Ti0m5Y1vRkREBC677DJIJBIEBwdj586d\nqK6udjmHEILw8HC3ZSSXCo/Hg1AodFsc+8CBA/KgoKAbGa1sDlZcPAghxG63Z8+MZdFqtYw/iJRS\n1kSpqakJCQkJrNhRfvbNDRgxWvFmYevU+jFMLK69Gplp4+Dz+cjOzsZvDtfA4aC4+2vxjNfJ4/EQ\nEREx1fvwxjfjmmuuwcmTJ2Gz2aYc8zwtCqZWq1nJ9RESEgKNRuOy76qrruKKxeJbGK9sFlZcPACs\nS0xMdPPlHxwcZDwL1PDwMIKCghgPFTcajRgdHWUl9gYA4uR8bFFy8UW7DaOmCyvKXWwCMlvO0bo+\nA4p77PhWDA/qIHbWsYmJiUFHRwfsdrtXvhlJSUn41re+hY0bNyI7Oxu33347ZubaBSZ8Smw224K9\naOcjJCTEbeiiUqnA4/GUy7au7XLOC3vaAOz95S9/6RLHbDab6YkTJxY0/+0NdXV1tLe3l/FyGxoa\naGdnJ+PlUjoR0n38+HFacraDxjx4hP76cL3bOXP5gTAJm34eTj+OmWH1NruDXvlcAc393b/puZa5\n0xp445tBKaVlZWWUy+XSDz74wGV/fX09K7/juXPnaHt7O6NlOsP0Z34XV1xxhQZACv0q+HmEhYV9\nfevWrS7G0qGhIcjl8tkuWRSUUmg0GsaHQg6HA319fQgLYyW7PRobG6FWq5GzIRL7sqPwVlErTnUM\nu5yz1nsgc2U5/0tFJ+q6R/HQFUlYvy4aHA7HbeYD8M43w3neAw88gJm5cYGJ3sfM2BEmYGPoQgiB\nWCx2ieAFgF27dgVyudxMRiubhRUXD0LItoyMDJd9g4ODjIvH2NgY/P39GU8T19fXB6VSyUpC5uHh\nYQwODk5lHnvw8kSEBvrhF3+tgcnqulL8WhWQuYRjxGDF7z8/h+wYOa7aOCHOaWlpaGpqcsvL4Y1v\nBgA8//zzuOGGGzw61YnFYnC5XMazofv7+0/FaDGJXC538/fIzs4WhoaGXsJoRbOwouIxmaRVNbM3\nMDw8zLh4DAwMMN7rACYiZ5ny65gOpRS1tbUuCYQC/Ph48oaNaNaM47kv3cO+15qAzLeuyhOfNEBn\nsOCxq5OnvgM+n4/k5GTU1bmutuiNb0Z3dzf+8Y9/4Ec/+tGsbWLLN8PTg85GmZs3b4bD4chmtKJZ\nWGkPo3Uz15qllMJqtTLuhzEwMODRGr4UnG8TNkL629vbERwc7Fb2rvUhuCkjAq8UnMflqWFIi3Bd\n93hmTtSFOpFRSjE2NgatVouxsTGMj49PCdHY2BiOHTsGPp+PgIAABAUFITg4eFG+OPMJx4dV3fhL\nRRfu/locUtSun1GlUqGtrW3BRvWf/OQneOqpp+Y0mKtUKpw5cwaUUkZnzoKDgzE4OMjoCywoKAj1\n9fVu+3g8npwQwqWUMtvVmcFKi0fGzp07A6bvGB8fZ/xhpJRCr9czXi5btg6r1YrW1lbk5eV5PP7I\nnmQUNGlx/1+rcfiePAh4rg/DYgRkbGwMHR0d0Gg08Pf3R0hICKKjo+Hv7z/lan/s2DHs2rULFosF\n4+Pj0Ol0qK2thclkglqtRlRUlFdxSPMJR9uAHg//vRaZ0TL89BueUyakpKTg9OnTyMvLm/KnmM83\no6KiAjfffDOAiZfJJ598Ah6Ph2uvvXbqHA6HM+X+zeRsn0KhYHxxbB6PB4fDAYfD4SKIaWlp6Ozs\nTARQP/vVS2dFhy2ejKUjIyMICgqa7ZJF4Uxbz7QPRk9PDyvi0draiujo6FnjY4JEfPzuujSc7RvD\nY4frPAZfeTuEGRsbQ3l5OWpqaiCTybBz505kZWUhJiYGMpnMrQ2EEAiFQigUCsTFxSE3Nxfbt2+H\nUChEaWkpampq3JyXpjOfcJhtdtxz6BR4XA6evWUzeLNkkPf390dgYODUcoze+Ga0traira0NbW1t\nuPHGG/Hiiy+6CIcTNgycQqFwaolRJgkICHBbcHu5jKYrbfNwM5ayIR4DAwOM+4xYLBbYbDbGE+7Y\nbDZ0d3fPa0e5JEmFu3bH4VBZJ94u9jxDMJeA2O32qUxesbGx2L59+6JX4uPz+YiOjsbOnTsRHByM\n0tJStLa2uomaN2vH/tenZ1HXPYqnb0pHuHTugD9nyj9KqVe+Gd4SHByMgYEBxiNiPQW0LZWgoCCM\njIy47Fs2o+lyzAd72gCQ8PBwtyQUJSUlVK/Xeznb7R2VlZV0eHiY0TK7urro2bNnGS2T0ok8EI2N\njV6da7c76A/eKqfrHvqYnmzyvOwApe5+IOPj4/TYsWO0ubl5Vp8JT3jr52G1WmltbS0tKiqaWkJg\nNj+O6b4ZP/j1izT6gSP0sQ/rpo6/++67NC0tjaamptKtW7fSqqoql+srKytnXXJhKZSVldGRkRFG\ny+zo6PD6t/WW3t5et6UcdDodVavVZ+lF7Oeh8rSYtNFoZDzE3DlsYZKBgQHG3dzpZMSvt7M3HA7B\nH27ehLgQCe76v1NoG9B7PG96D0Sj0aCsrAzp6emIi4tjxZ2ex+MhNTUVMTExKCoqwuDgoMcex3Tf\njNc+OoF/j6uRHCLEQ1dcyIUSGxuL48ePo7a2Fo8++ijuuOMOl7qcCyIxjbP3wSSBgYGMLz/hadgy\n6UXNbPfdAyspHmHR0dEu9TscDhBCGL2hHQ4HKKWM+2EMDw8zno18MRG//kIeXr81CxwC3P52BUYM\nVo/nRUVFQSqVory8HFlZWcuSST0sLAzJyckoKipCXFycm9g6fTPGBXLcc6gacp4V2eZTEPIu/Fbb\ntm2DTCYDAOTm5rrl3pBKpTAYDKxErjKdi8PTg75UPDmKTe7nEkLYW3QZKyse6piYGJcPx0avQ6/X\nMx7WbzKZwOfzGRekxeYZiVKI8eL+DHQMGrD/jRLoDO5xFKOjo9BoNEhMTERNTc2y+IGYTCY0NDRg\n48aNaGlpcXvAu7u7IY9Owvf+txwyiQA/iDdhoKdj1vLeeOMNXH755S77nDMtnrxOl4K/v//UQkxM\nweFwQCllNJWC80U7s51qtdoBgB2350lWTDy4XK46Ojra5ak2GAyMGyBHR0cZT3LMhhMbpXRJ04Nb\n4xR45TsZaOwfx77XSjGsvyAgFosFp06dQkZGBuLi4pbFkWy6cTQ6OhpJSUluCy7pLMDpoG0gAN75\nQQ4C+bM/qPn5+XjjjTfw1FNPuR1Tq9WMh70TQuDv7w+93vNQcLH4+/sz3vsQCoVuwhwVFcXDxSoe\ncrk8Xq1Wu9TPhniMjY0xLh6jo6OMzwgNDQ1BKpUuKeL3a4lKvHZrJpq149j3eimGJgWkrq4OCQkJ\nU3Yftj1RPc2qqFQqyGQynD9/HgDQrBnDy00SWMDHW7dlIzZY4tE3AwBqampw++2348MPP/QoriKR\nCA6Hg/GhCxs2isDAQMbd30Uikdv0eExMjAgXq3j4+fnFzlxSgY1hy1rpzWi1WkZC+netD8Hrt2bi\nvHYc+14rQcP5LthsNrflK9gSkLmmY9evXz+x/OXZHtzwUjHA5YF++T/wtw7N6pvR0dGB66+/Hu+8\n886ca+yEhIQwbqNgQzzEYvGcfjCLwZN4REVFiQQCQQSjFc1gJW0ekTMdrMxm85IXXJ6JM20fk7Bh\nR2Eyf8nO9SF447tZaB80YP+fauCQRXk0QjMtIPP5cXC5XPTzQ/GDt09DLhHg7z/ajhd+++Ccvhm/\n+c1vMDg4iLvuugubNm1CZqZn36e1Mjvi5+fHuHj4+fm5BQqq1Woil8sTZrmEEVbMPd1qtapmJjdm\nQzwsFgujcTJszQhZrVZGP3teQjBeuSkB933YhFv/dBq/uy4NN2a4v4iWGgvjZD7hcDgo3jjZiic/\nbUZsEBdv3ZqOSIUYUVdcgSuucM3be+edd079//XXX8frr78+b/0ymcwtzmOpSCQSjzMZS8HTg75U\nhEKh27q/YWFh4PP5MYxWNIMV63lwOBy/mQ+1xWJhXDwAMPqgs9GTGR8fZ9wPBQD4eg3+9sMcZEbL\ncN8H1fjV4XpY7e6W/qX2QOYTjoFxM77/p3I88ckZXJocildvScGolln3b+fM13LMZCwFtsRjpr1H\nrVbD4XAsfX2KOVgR8SCEcAQCgdsrzmazMbqUgM1mY3w6lQ27DBs2FKPRCLvdjkilDG9/Pxvf3x6L\nt4racO0LhajvGXE7f7ECMp9wnGwawOXPnkBRyyAevyYFLx3YgtjIcPT39zOe/d05vcokfD6fUZsQ\nj8djPL6Fz+e7pTkMDg6G3W5nNiZjBivV8wgODg5mNnDAA2vFhsKGB6xGo5la84bH5eCXVyXj5QNb\n0D9qxjV/LMQzX5yD2ba0hELzJfJ57MM6fOfNUkhFfBy+Zzu+szUGhJCpyNWZXe2lwsZMBhs2Cqbh\n8XhuvxeHwwGPx2Mn4auzDjYLnwMJG930mTDdkwHYEQ82ejNardYtW9a3UsPw75/txNWb1HjuaDP2\nPHcSxxtdV133VkBmEw67g+K90g7sfjof75S049bcaBy+Jw+Joa49K08JfJeKSCRifEjAxjCDw+Ew\n2vvwJB6T9bD6fM9bOCHkTUKIhhBSN21fNiGknBBSRQipIIRkTzv2ECGkmRByjhBy2bT9VxFCaggh\nrwPgMbEc43zY7XbGhy1Wq5WRpSSns5x2FKlYgGf2bsL/fi8LRqsd332zDN9+tQTlbReiPecTEE/C\n4XBQfFHfh6v/eBIP/6MWCaoAHPnxDvz6mlSIBO6/gUwmc4sGXSps9BIEAgGsVs8u/4tltod9sXC5\nXI9iROYw9hFCvjX5jDYTQh6c3LeOEFJGCDlKCJHNV683r+W3APwRwPT19P4bwC8ppZ8SQq6Y/Hs3\nIYksqXkAACAASURBVCQZwM0AUgCoAfybELKeTmQ0OgBgC4DHACQKBAKXD8akUcqJw+FgXDzYEKSV\nmBH6WqISX8bvwvvlnXj+aDNuerkY2+MVOJATjW8kq2adhZkpHCarHYerevBKQQtatHpEyER4/pbN\n2LMxbM76Z4vJWAqeDIdLhekH3Vkmkz2P2b7n2cRjcmmGFwB8E0AXgHJCyGEA3wfwbQDrAOzHxHM/\nK/OKB6W0gBASM2N3HwBnPzQIgNN0fg2AP1NKzQBaCSHNALIBFGOil8MHIAbg9vamlDK+nordbmel\nTDaSHTM5I2Q2m73qyQh5XNy6NQY3ZUTi7eI2/KmoDT/6v1MICRDius3huCRRiVB1+JSAUEpRUlKC\n+A3JqB+i+Ci/Gp/X9WHMbENSWCCevXkTrkwLmzWBz3TYiuZl+kHncrmM9zwIIcuyVCiHwwEhhEMp\nnVlZNoBmSun5yfb8GRPPrh2AZHKb90Mv1iDwAIBCQsjTmBCFbZP7wwGUTDuva3IfALwK4CSAowC6\neTyey93jfFsyCRsPOhu9GaaxWq0LsvWIBFz8cFccbt+xDsfOafB/pR3438JWvFpw/sJJhz+/8P/P\nygEAAUIevpUaius2h2NrnGLBv59er2c0VyiHw2Hcqcu5ZjKTmEwmxkXOU7wMj8ejmHjGZ0ZKhgPo\nnPZ3F4AcAE8BeBfACIB989W5WPF4A8C9lNK/EUL2Tv79jbkuoJT+C8C/AIAQkmE0GiXHjh2bfhx6\nvR7T9y0Vq9UKu93OaNCUwWDA4OAgowLiTCzMFHa7HWazeVFlEkqxSWLHaDAHFf1zd60zlUCSYADm\nziEc71q4ANhsNhw7dowx8XA4HDAajYx+l0ajEQ6Hg1Hj7sjICMrLyxm1ndntdrfPzeFwxFjApAil\ntBPALm/PX6x45GBivAQAHwBwugB2A5i+inTE5L6Z2IRC4fju3bunphjsdjuKioqwY8eORTbJnb6+\nPgwPDzOaNb26uhqRkZGMRtUeO3YMu3fvZqw8vV6P+vp6ZGd7n4F/YNyMP5d14FBZJ7p1ZgT48XBV\nuhrbY6VwDLTikpyNqKioxChEMAaEo6hlGAWNWuR3mrAuRILb89bh+i3h8ON7L6pMf26j0Yjq6mrk\n5uYyVmZ7ezscDgdiY2MZK7OsrAwpKSmMhjh4+i5tNpsBnocf3j6nc7JY8WjGhEIdA/B1AM5FRA4D\neI8Q8gwmDKYJAMo8XG+bOY5kYxzI5XJZKZNpJx+mEQgEXq+NqjNY8ErBebxV2Aaj1Y7t8Qo8fEUS\nvpmsgsNmmVitfms6FAoFJCIh0tbFoKurC7fuz4beSvF5XR/eKWnHw/+oxTP/asRt22Nw2/YYiN19\nAN1g2kjOxjB1rZQ5Sz0EgKcHoBxAAiEkFhOicTO8GKbMZN5fmBByCMBuAMGEkC5MzJbcAeCFyUxF\npsm/QSmtJ4T8BUADABuAu6nntSNsFovF5c4hhDB+M7HxoLNVJpM+KXw+f14jn8lqx+snzuOVgvMY\nN9twdboaP/56AuKVE8tTOGdV0tLSXAL2Zs7C7M2KxE2ZEShuGcTLBefx+8/P4d2Sdjx8RdKcMy5M\nzzAB7Eyj2+12xtu5XHYzZ05TD/tthJB7AHwOgAvgTUrpggODvJltuWWWQx77xJTSJwA8MU+x1pkG\nIzas70w74wDsiIfTEYnJdWUEAsGsHrYVbUP4xd9qcF6rxzeSVPj5peuRFHbBiWs24XDiaRp3W3ww\ntsUHo6JtCI8drsePD53GOyXt+PXVKS5lOxkdHWXcq5YNfxm73c64oyHTPY/ZJhs8Cce0Y58A+GQp\n9a6Uh6mVaQu2J9h40IVC4ZrwYlQoFG4h6gaLDb86XI+bXimG2erA29/PxuvfzVyQcDiZzZEsM0aO\nw/fk4cnr09CsGcdVz5/EK8db4HC43sdsJJA2mUyMe+qaTCbGQxyYnlmcrdfqmPmlM8xKiYdWo9Ew\n39WYgTfd94XChgu0RCJhPN2dUqmERqOZ+ruhZxTf+sMJvFXUhu/kRuPzn+7EzvWuSx96KxxOZhMQ\nLofgluwoHP35LnwzWYUnPz2L7/5vGTRjF743jUbDuHiMj48znviJjd4MwGxPezbxsLGcqHZFxINS\najIYDG6GHKaNpmx4HLLRS2Aj6Ywz8Mxms+Gj6h5c/1IhrHYH/vLDrfjNNanwF7rebAsVDidzubJL\nxQK8uH8LfnddGspa/3977x0fR33n/79mi8pKK63qqhdbxZZVbbnLNnBwEMr9IJeDYJNvAr8EOEg5\nQoi5IwlJ+BIOQrg7csAdpEEI3UCIgcSAbFnFVrO6Va260jZtkbbX9/eP1QqtulYzVmGfj8c8LM+O\nZkbS7Gs/767F9f9ViYoezwzcoKAg1n0JXFQns11cyWZei5f5fD1TeR/sNkudxZr183A6nY7ZJtlK\nogTLgQs/ChcrDy7Eg2EYSBMS8ZMTjfjO603IT4rEB98uw57MuSFmf4XDy2ICwjAMju5Nw1++U4aY\nsGDc+fs6vHCqza8u8YtBRJz0g2E785mrhlezzymXyyEQCNjtCj2Lteyerp09eo+LlQLbTlMuTCFv\n8RWbqy6jzYl/r9HjtaZx3L4nFa99ax/ixHMf2tUKh5eliulypGK8d/8BHM6OxfP1OvypbZLV6JrJ\nZGLdZLHb7axHbywWC+tm0HyCJJfL4Xa7F55jwQJrKR5js4cJcyEe8zWHXS1CoZD1+5RIJKz1tzBY\nHfjG7+pQfUmL7+yLxbeKwxEkmPunZks4vCwlIKIgAb5bEowb86Lx3OlLeOid1nk7m/kDFw7YjRIR\nstlsc0zAsbExmEymS6xeaBZrabYMzk4b58KfsFF8FLGxsaykQBusDnz9d3VoGtHj2a+W4Hs37sLw\n8PCcCla2hcPLYgKi0Whgs1rw7B178b2/y8Y7jTJ865UGWB2rXxlyJR5cdHjjoh/M7HPKZDK7Xq8f\nYPVCs1gz8dDr9X2zVx5clGlz0ZqOC/GIj4+HUqlc1TkmrQ78n9/VoVU2geeOluCGwsTpubFNTU3T\nZhFXwuFlPgGx2+1oa2tDUVEReDweHrgmB4/fko8z3Wo88GYzXKuIKrpcLs7m87B9Ti761Vosljkm\n2+DgoBnA5vR5mM3m4ZGREZ8lARfiwcUbnU0Tw0tQUBCEQqHfIVuD1YGv/bYO7aMTeO7YTlyX//lY\ni9jYWMTHx6OtrQ0Wi4VT4fAyU0DsdjsaGhqwbds2n4f82N50/OiG7fi4XYEf/7ndbx+IWq1GXFwc\n6w7yiYkJTgSJbfEwm81z8luGhoYc+LxVBies5dwW+ZQ6TsOVeHC18mA7nT4pKcmvmasuN+F7bzSj\nY3QCzx/bhWt3JMw5JisrC06nExUVFcjPz+dUOLykpaUhOTkZn332GeLi4jB71AYAfPPQFvzzFVvx\nWu0w/uPT3nnOsjSjo6NzhlqtFrvd7u0Dyto5iQgOh4P1EPV8g9xlMhlhs648AIwNDQ35GMVcRDK8\n52Tzjc4wDCdC5x3YvNJ7fepvXSjvUuGn/7AD1+TNP3XOZrNhcnISEonE64ln45YXxeFwQKFQTPcr\nXShn6YfX5uLW0hQ8+1kvXjk3uKJr2O12GI1GREUt2TVvRbA5hMsLFxmwC0WEtFotA4Dd5fEs1lo8\n5qwzN0pWKBcTygQCAaKjo30yQ5fivSYZ/reiH3fsS8Md+9LnPcbr4ygsLMTevXsRHByM8+fPs/47\nmcnk5CRqamqQnJyM0tLSRaMwDMPgF7cU4Jo8KR79oAOVvct3HA8PDyM1NZV1k0Wj0WyI6I3RaJxT\nE+VyuWC3222L1bawwZqJBxFZjUajeXbIkysHJ9s+itjY2BW9yZdLZmYmLl1aXoStaViH4yfasG9L\nNB69ace8x8x2jjIMg5ycHGRlZeHcuXMYHh5mdVXmcrnQ3d2N5uZmFBcXIyXFM6VuqTCugM/Ds18t\nQXZ8OB54s9knlX0h3G43RkZGkJqauuSxK2V8fJzVni2Ax4fC9oD0+cZ2dHV1QSgUdrF6oXlYy5UH\nhEJhW3t7u88+sVjMunjExsZyMgTZZDKxXngXEREBgUCA2Ql0s1EZrLjnj42QRgTj+WO7IJynb+hi\nUZX4+HiUlZVhYmICZ8+exdjY2KpMGafTicHBQZw9exY8Hg9lZWVz3ihLCUhoEB//fXQnjDYnvv9m\ny5xiutmMjIx4xyr6fd/zYTAYEBoayno1LRem0Hzi0dDQQHq9vpzVC83DmoqHRqP5rL6+3ufdx0Uk\nIzo6esk340phGAZxcXGcrD5ycnLQ3d294OtEhEfea8eExYGX/k8posPmOuCWE44VCoUoKCjAnj17\noNFoUFFRgY6ODoyPjy9LSJxOJ5RKJVpaWlBZWQmbzYaysjJkZ2cvmNK9nEzUn960A1V943ihYuEV\nmMvlQn9/P7Zs2bLkfa4UuVyO2UPYV4vb7YbNZmPd56HX6+eIdGVlpd5gMJxj9ULzsGaDrgHAbDaf\nr6io0N97773TTzcXoVWBQACGYVhvFpOUlISBgQHWHzSJRIKgoCAolUpIpXMdoH9pleOTi0r865e2\nzRmmBKw8jyM0NBQFBQVwuVxQqVQYHR1Fe3s7GIZBeHg4goKCIBAIYLVa0dbWBqvVCpPJBB6Ph5iY\nGCQlJaGwsHDZfoelhmvftjsV1Zc0eOaTHuzNjEZpxlzzob+/H8nJyaxHLgBP+0o2WxkCnje5RCJh\n9ZxEBKfTOed3cO7cOSeAJlYvNg9rKh4AWhoaGnw+4oRCIVwuF9xuN6sFSTExMdBoNPOGC/1FIpFg\nYmKCk8l0eXl5qK2tRVxcnM/vYdxow6N/bkdRqgTfPDT3U3c1CWB8Ph+JiYnTYuhyuWAymWC32+F0\nOiGTyZCUlITg4GCIRKJV/X0WExCPAzUfLSN6fO+NZnzy/cM+bQ2tVitGR0dZ7XfrxWg0QigUsi5K\nXJgs89XzuFwuaDQaOxGxO1FrHtbUbCEiy3xOU67Sv9mOjjAMg6SkJMzOlGWD0NBQJCcno6enx2f/\nox90wGRz4ZdfKQSf5/tJz3bmKJ/PR0REBGJjY5GQkAChUIiYmBiEh4ezIuyLmTDiECGeubUIo3oL\nnj/ta760tbVh27ZtnLTyGxoaQnr6/FGr1cBF+rxWq50Tor5czlJgjcUDmN9pGh0dzbqDMzo6mnXx\nADxvgKGhIdbPCwBbt26FWq2e9gH9tV2OD1vl+O7fZSFH6usk4zrlnCsWE5DSjGjcUpKMFyv7Mazx\n5NSMjo6Cz+ezuoL04jXb2D630+nkxN+h1Wrn/K0bGhpoYmLiM1YvtABrLh7zOU25cHAKBAKIRCLW\nVzShoaEICgpife4q4GknUFxcjJaWFkyarfjxnzuwIykC9xzZ6nPcRhUOL4sJyMNf2gYBj8H//fAi\nzGYzenp6kJ+fz8l9yOVyJCQksD5lcCHf1WpZS2cpsA7Ew+s0nblPLBbDaDSynv6dmJjI6gAoL5mZ\nmejv71/6QD8Qi8XIzMzEU+/VQm2w4Wf/sMMnLLvRhcPLQgIijQjBt6/KwqmLSvzhr7UoKirixElK\nRBgcHOTEZJHL5aynz9tsNggEgjmm2+VylgLrQDwAtNTX1/s4Tb1efrbzPRISEqBQKFg9JwDExcXB\nYDCwnq7uJSo+EX/uNmNPaphP5GGzCIeXhQTkroMZSAjn480eJ8SR7EYsvIyPjyM0NJT1hkIulwtG\no5H1Arvx8XHExfn2oHU4HNBqtbbL4SwF1oF4EJHFbDarZq8IvPUQbCIUChEcHMx6s2GGYZCVlYW+\nvj5Wz+vld1WDMNjd+IdM3rRzdrMJh5f5BGSo/xK+uVOCIb0db9Rx0xyrp6cHOTk5rJ9XpVJxUvHr\nrSSeSWVlJXg83llWL7QIay4eAGA2m//0wQcf+Bi7s7t/s4W/latLkZiYCJ1Ox3q9iN5sx28q+/H3\neVLcds1+9PX1YXR0dFMKh5eZAtLf34+JiQncdd0e7EyT4DdVA6vq/TEfGo0GQUFBrNedANxU/BIR\ndDrdnLyRN954Qz82NvYyqxdbhHUhHhMTE+/86U9/0s3cJxKJYLPZWJ8m7hUPtv0p3tXHYpmh/vBS\nZT+Mdie+//c5EAqFKCoqQlNTE1JSUjalcHhJS0tDSEgIurq6phsIffPQFgxpzPi0c3VNk2ZCROjq\n6kJubi5r5/Ris9lgMplYTw4zGAxzwuVEhI8//tgBoILViy3CuhAPIurt7e21zvYZxMfHs266eCtX\n2T4v4BEmg8HAWkRHZ7Lj99WDuKEgEdsSImC1WtHU1IRdu3ZhbGyME+fveuHSpUtwOBzIy8tDY2Mj\nnE4n/j5PipSoUPymkj3ntFwuR1hYGOs+CQDTRXtsmyzeqNBMLl68CCLqICJ2m+suwroQDwAgor98\n+umnPvu4cnBmZGRgcHCQ9fMyDIP8/Hy0t/vfFWsm7zePwmx34b4rsnx8HImJidi3bx/6+/tx6dIl\n1ldRa4nb7UZrayv0ej12796NjIyMaRMG5MadBzNRP6hD88jq65+8FcDbt29n4c59ISLIZDJOKn5V\nKtWc0O+JEyfMarX6D6xfbBHWjXgolcrXXnvtNZ/MMO/gIrYb10RGRsJms7HeVR3wpKyHhoaysip4\nu0GGguRIbIkOmuPjCAoKwv79+zE5OYmWlhbWq3vXApvNhtraWoSEhGDnzp3Ty/KZPpB/LEmEOFiA\n31atvrdvX18fUlNTWZ+jAniiIRKJhPWKX7PZDB6PNydc/cYbb5jsdvtJVi+2BOtGPACcP3v2rGum\nUDAMw1pX8dmkp6djeJgbz/327dvR3d29qqZG7aMTuCifxM1F0gWdo94kssjISFRVVbGeAHc5UavV\nqKmpQWZmJnJycuYs9b0CcrHlAm7bnYKP2uSQ6fwPjRsMBigUCk6qcgFwljMyNjaG5ORkn30KhQIT\nExMqImI3LXsJ1o14EJGLz+fX1tfX++z3tuZjm+TkZIyNjbHukAU84x6ys7PR1tbm9zneaZQhiM+D\n1CpbNKrCMAwyMzNRUlKCpqYm9PX1XZYWg2zhcDjQ1taG3t5e7Nu3b9HUcK+AFIRo4XIT3m/y77kg\nIjQ3N087YtnGaDTCZrOx3hoR8IjH7OjNX/7yF5fJZHqd9YstwboRDwAYGxv7/dtvv+2TGRYVFYWJ\niQnWl+V8Ph+pqamc+D4Ajzg5nU6/fDZWhwvvXZChJI7B/l2Fy4qqREREoKysDC6XC1VVVayn97MN\nEWFsbAxVVVWIiIjA/v37l1X7kZaWhpKcdGRF8fHXdv/8YX19fYiNjWU9CuKlt7eXk5wRo9E474zf\nV199VTsxMfE26xdcgnUlHm63+5N3333XJ1GCYRgkJiZyUrmakZGBkZERTvwFDMOgqKgInZ2dK54u\n93GLDBNWJ75Wlr2icCyfz0dubi5KSkrQ29uLurq6dWnKaDQaVFdXQ6lU4sCBA0hPT19RRCItLQ1/\nlxuH9rFJDI+vLAt5YmICcrmck9As4PFJGI3GOQlcbODt1zr7et3d3TYi6lng2zhjXYkHERltNltL\nXV2dz/60tDRO/BMCgQDJycmcVcUGBwdjx44daGxsXLYpYbVa8XJFJ6TiIHxpp3/2uFgsxt69e7F1\n61a0tbWhvr5+zVciRASFQoHq6mr09/ejqKgIJSUlfjsrbzvoefP/5q/1yzY9HQ4HmpqaUFJSwom5\nAnhWHdnZ2ayHZ91uN5RK5Ryz7vXXX3e6XK5XWb3YMllX4gEAY2Njjz311FM+T7pIJALDMKynlQOe\norahoSHOohXx8fGIiYlBZ2fnksdarVZU1ZxDj55wzY6EOf06VkpMTAwOHjyIrKws9Pf3o7KyEgMD\nA7Db7as670rwVsJWVFRApVKhqKgIu3fvXnU255a4cORIw9Gm5S3Y0nAmRIQLFy4gJyeHk0xSwDO5\nbWJigpMKWpVKhdjY2DmFcE8//bRufHz8v1i/4DJYd+IBoLKqqmpydj+P9PR0TvwTQqEQycnJGBjg\nbqxnTk4OjEbjoqaXN49DEJcJs8ONA1vZaxwTFRWF0tJS7N69Gy6XC+fOncP58+cxMDDAuiATESYn\nJ9Hb24uqqio0NTUhODgYBw8eRGFh4ZwxAavh2h0JaJGbEB6TsKSA9PT0IDw8nPVU8Zl0dnZysuoA\n5o/e1NfXY3JysoWI2E+GWgbrTjyIiMxm83++9NJLPr6PxMREqFQqTlYIW7duhUwmW7FvYrkwDIOd\nO3eip6cHOp1uzuszE8A6xj1vgH1b2E89DwkJQVZWFo4cOYKCggIQEdra2nD69GnU19ejr68PSqUS\nRqNx2Q2QJycnIZfL0d3djfPnz+PMmTPo7u5GcHAwSktLcfDgQaSnp7Oe7wB4xMNNQNekcNGmyjKZ\nDFqtlpNkMC/euiYumhR5u/TPzoJ98skntWNjY4+xfsFlwqzH7ESGYSLS0tL6BgYG4mbapt3d3QgJ\nCeEsfq5SqVBcXMz6ub2YzWbU1tZi9+7d05/As6tjv/ZbT9+Ov/7LYc7uYzZEBKPRCL1eD6PRCKPR\nCLPZ7JO5yjDMdE2FFx6Ph7CwMISHhyM8PBxRUVEIDQ3l5JN3ofve98Rn2JsZg2dvL8Hw8DBkMplP\nT1S1Wo3Ozk7s37+fEwHz3kd1dTUKCws5SXNvb29HdHS0z6pJo9Fgx44dg0qlcgvXw50WYq0bIM8L\nEU0mJSV9curUqaPXXXfd9P709HTU1tYiLS2N9Qc0MTERAwMDnHS59iISibBr1y40NDRMd+eeKRw2\npwv1g1p8dXcaJ9dfCIZhIBaLF/QFeJ/NM2fO4MiRI5dNHJaCYRgUJEvQMeZpXzG7qbLRaERHRwen\nwgF4KmcjIiI4EQ6HwwG1Wo28vDyf/S+99JLVbDb/51oJB7AOzRYvcrn8iSeeeMKn6WhISAgiIyM5\nKdX31qV0dHRwWisSERGB/Px8nDt3DjU1NT4JYC0jE7A63Ni/dX1VyzIM47OtJ3YkRaB/3ASz3WOu\neBPJampq0NTUhN27d3OSfu7F6XSit7cX27Zt4+T8g4ODSEtL84kOud1uPP/880aDwfB7Ti66TNat\neBBRe29vr3K2k5TLpjuRkZEQi8WchW69hIeHw+VygYh8Oled79eAYYB9metLPNYz+cmRIAI65Z/n\ne4jFYlitVvD5fE6FA/A4STMzMzlpjehyuSCTyeaY6adOnYLD4fiEiNY0iWfdigcAaLXax5999lmf\nLCDvECKu8hby8vIwODjIWUtBr4+jpKQEJSUlqK2tnY549CgNSIsWIVLE3RJ7s7EjyWMqeE0XrVaL\nlpYWlJWVISMjY1lhXH8ZHx+HwWDgxAcHfD5Oc/ZMoCeeeGJcoVA8wclFV8C6Fg+bzXbi9ddfN88O\nJ+bm5qKri5vRFAKBAAUFBWhqamLdfJntHI2OjkZxcTHq6uqg0+kworMgLZrdHpqbncTIEESJhOgY\n9UR92trasHfvXohEoiVHW64Gp9OJ9vZ2FBcXc2LKuVwuDAwMYOtW3075ly5dQk9Pj4KI/C+cYol1\nLR5EZLfZbM/86le/8lkGREREQCgUcjKHBfAkV0VGRrKa+7FQz1GJRII9e/agtbUVQ2ojUqIC4rES\nGIZBXlIELgyoMDAwMKdGhisB6ejoQGZmJusNk70MDw8jKSlpjqP3wQcf1KpUqgc4uegKWdfiAQA6\nne6/nn/+ef1sMyU3Nxfd3d2cOTe3b9+O4eFhGI3GVZ9rqWbFYWFhKNy1B3qrE6Eu06Zq7sM1LpcL\ncXwrBnQ27Nmzd17fA9sColKpYLFYpqM7bONyuTA4ODinXUBLSwvOnz8/6HK5Pl3gWy8r6148iMhm\nNBp//NOf/tTH9xEREQGRSASlkr1+ljPh8/koLi6eboHnL8vtcq4weHp/xIkY1NbWcpawtpkwGAyo\nrq5GUnQ4nG7AZF84sY0tAbFYLOjo6ODMXAE8pklqauqcVcf999+vUSqV93JyUT9Y9+IBACaT6eW3\n3nprXCaT+ezftm0burq6OOtfIZFIkJGRgZaWFr9WAysZjzCi9VhmB4tykZmZiZqaGk6aIG0GiAhD\nQ0NobGxEYWEhtqZ4sjr1lsVrdlYrIC6XCw0NDSgsLERISIhf974UNpsNY2NjyMzM9NlfUVGBS5cu\nNRNR/QLfetnZEOJBRC6dTvfAQw895NO4MjQ0FFKplNPQanp6Ovh8/or9HyudqzI8JR6pUSJIpVLs\n378fvb29aG9v5yxasBGxWq1oaGiAVqtFWVkZJBIJIkM9n9ATlqU7t61GQNrb25GUlMRp1/ru7m5k\nZ2f7FMAREb7zne+MKxSK+zi7sB9sCPEAALvd/sGZM2dGZ0dZsrOzMTg4yGmlaEFBAUZHR5cdHvZn\nIJNy0opgAQ+SqTBtSEgI9u/fj7CwMFRWVnJmnm0UvOMgz507h5SUFJSUlEyHML2/M715eW0f/RGQ\n4eFhOBwOztoWAp5eI5OTk3OK995//323SqX6bC16dizGhhEPIiKFQnHvd7/7XZ93sEAgQE5OzrJK\n3v2Fz+dj165daGlpWTL/w99Jbi43EMTn+djR3haD+/fvx8jICOrr6znLP1nPTExMoLq6GkajEYcO\nHUJiYqLP69PisYyVh5eVCIhWq8XAwACnfg4iQnt7OwoKCnyu4XQ68YMf/ECrVCof5OTCq2DDiAcA\nEFFVW1tb1+xmQUlJSTCZTPNWrLKFSCSazslYaJWzmhGQbiIs9FyGhISgtLQU6enpqK+vR3t7+xfC\noWoymdDY2IiOjg7k5+cjPz9/TsIUAER4zRbzylafyxEQg8GAlpYWn2I7LpDJZIiIiJgz9f7ll192\nGAyGN4mI/Ua+q2RDiQcAKBSKe++//37N7IrPgoICtLa2ctr8NyoqCtu3b5/3YVvt7FgiWvJTLT4+\nHocPH0ZkZCRqampW3aF9vWKxWNDa2orGxkakpqbiwIEDixYrrsTnMZvFBMRisaCxsRG7du1akfmC\nYQAAH3lJREFUVn9Vf7HZbOjr65tTH2OxWPDoo4/q1Wr1jzm7+CrYcOJBRG0jIyOfvPLKKz5Pilgs\nRkJCAmd1L16kUinS0tLQ0NAwLVRsDJ0mAMtpHMYwDFJTU3HkyBEEBQWhuroabW1tnHRZu9zo9Xo0\nNjaioaEBsbGxOHToEOLj45f8Po+5B9ic/n1wzCcgdrsddXV1KCgo4KRadibt7e3Ytm3bnNDsww8/\nbLBYLE8TEXdL6lWw4cQDAJRK5T3Hjx9Xz+7MlZ2dDYVCAYNhZU1xV0paWhpiYmLQ3NwMi8XCytBp\n9zJWHjPh8XjIzMzEkSNHEBsbi+bmZtTV1UGhUGyo0QtOpxMymQzV1dXo6elBRkYGysrKkJSUtOzf\nh8nuAhEgDvHfrJgpIFarFfX19cjJyeF8HrD37zXbj1NbW4s33nhjQKvVPs3pDayCDSkeRDSp1Wrv\nPHbsmG6m+cLj8VBYWIjm5mbO30BZWVkICgrC6dOnkZ+fv+qHjGh5K4/ZeLvLHzx4EDk5OVCr1aio\nqEBbWxt0Ot26zFYlIqjValy4cAFVVVUwGo0oLi7Gnj17EBMTs2KnpMHqWYSKQ1ZXUJiWlobExESU\nl5cjJSVlzhuabWw2Gzo7O1FYWOiz32q14ujRo+MqleofiWjdfhKsy2ZAy8Fut59KSEj45JVXXrnl\n61//+vRTI5FIIJVKOZtB6sVms2F8fBxJSUno7+9HdHT0qjpyuwkAVufJl0gkkEgkcLvdUKlUuHTp\nEgwGA6KioiCVShEbG8tpU5zFsNlsUKlUUCqVMBgMiI6ORnp6OqKjo1cdwTBYPabGalYegMdUkclk\nSElJwejoKJKTkzlzkhIRWlpasG3btjltA44fP27Q6/W/JCJubfBVsmHFAwCUSuW3jh8/XnbNNdck\nzYyNZ2dno6amBlqtFtHR0axfd7aP49KlS6ivr0dpaemc7tbLRRwiwKTVAbebwFtl13Qej4eEhAQk\nJCTA7XZDp9NBqVSip6cHPB4PEokEUVFRkEgkCAsLYz38SEQwGAzQ6XTQ6XSYmJgAn89HfHw8srOz\nERERweo1veIRHuz/4+ydk5uTk4OEhAQMDw9PdyTjQkBGRkYQFBS0Ic0VLxtaPIhoMigo6M5jx469\nUV5eHuV9IBmGQUlJCerq6nDgwAFWG7XM5xzdunUr+Hw+6urqUFpa6tene0pUKOxON8ZNNsSL2Ut9\n5vF4iImJmb5Xh8MBvV4PnU6HsbExmM1mMAwDkUiEsLAwiESi6alkQqEQQUFB0290t9sNq9UKt9sN\nu90Oh8MBu90Om80Gs9kMk8k0PTxcLBZDIpEgLS0NkZGRfovqclit2WI2m1FfX4/t27dPO2hntzRk\nU0AMBgP6+/tRVlbms3+jmCteNrR4AAubLyKRCLm5uWhqasKePXtY+aRbLKqSkZEBoVCImpoalJaW\nIiwsbEXnTpZ4QoEynYVV8ZiNUChEXFycz0Qzt9s9/eY3m80wGAzTwuBwOKb9RxaLBU1NTdNT2mcK\njFQqRVhY2GVtgOzFu/KI8MNs8TYPKioqmrNK5UJAnE4nLly44JMh62WjmCvTENGG3wBESKXS0dHR\nUZpNa2sr9fb2ztm/UiwWC50+fZrGx8cXPU6r1VJ5efmSx82mSz5J6cdP0gfNc3+G9cLp06fX+hbm\n5dXzg5R+/CTJ9ZYVfd/IyAhVVFSQyWRa9LihoSGqrq4mh8Oxmtskt9tNFy5coMHBwTmvnT9/nuLj\n45sB8GgdvKeWs23IaMtsaCr6cvToUd3sKMuOHTugVCpXVaG6kjyOqKgo7Nu3Dx0dHRgZGVn2NZKj\nPl95BFgZvUojREF8xIuX16+UiNDZ2YnR0VEcOHBgyYY+bJXze/vxzu4DYjabcezYsXGVSvUV2gDm\nipdNIR6Ax3y5ePHi2z/5yU98sqV4PB527dqF9vZ2vxKp/EkACw0NxYEDB6BQKNDW1rasQVXhwQJE\niYSQ6b54tSurpWNsAtsTI5blaPYmf7nd7hWZIqsVkPHxcchkMhQWFvqYdUSE2267Ta/Vah+hjWKu\nTLFpxAMA1Gr1fS+++GLbiRMnfP66ISEhKC4uRkNDw4rSuVeTOSoQCKZ9H9XV1ctKXEuOCsWoPrDy\nWAluN+Hi2CTyk5bOAh0fH0d1dTXS0tKwY8eOFftm/BUQk8mEtra2eaNxP/vZz0x1dXXvaLXaF1d0\nM+uATSUeRORSq9Vfuu+++0ZbW1t9XouKikJWVpZPWvlisJFyzjAMtmzZgqKiIjQ2NmJoaGjRpK30\n6DD0qVbf9vCLxJDWDJPdhR1JkQse43a70dnZie7ubuzbt29VyV8rFRC73Y76+noUFxfPqY95//33\nnS+88EK7SqX6Z79vaA3ZVOIBAESkV6lU1950003q2X6O5ORkxMbGorW1ddE3MRvCMZPIyEiUlZVB\np9OhoaFhwYrY3RlRkOks013FAiyNd+RC3gIrD6PRiJqaGvB4PBw4cICVArflCojL5UJ9fT22bduG\nqKgon9fa29txzz33jKlUqi8R0Ybs9rTpxAMAiKhbqVTeef3112tnmylZWVlgGAY9PfP3VWFbOLwI\nBAIUFxdPTzObbxVyMCsWAFDdx01X+M1I++gkhHwGOVLfUZlutxvd3d1obGxEXl4ecnNzWQ0hLyUg\nRISmpiYkJibOGX6t0Whw4403jqtUqutonRa9LYdNKR4AYLVaPxwcHPyPu+++22eqFsMwKCwsxOTk\nJPr7+2d/DyfCMZPExESUlZVhcnISNTU1Pr6QrPhwxIuDUX1Jw8m1NyMdYxPIkYoRJPj8UdZoNKis\nrASPx8OhQ4c4yTIGFhYQIkJrayvCw8PndB5zOBy4/vrrdSqV6k4i4q6D1WVg04oHAIyPjz/+0Ucf\nnf71r39tnbmfYRjs2rULSqVyOpx6OYTDi1AoREFBAfLy8tDU1ITOzk44nU4wDIOyrFjU9I3D7V5/\nBW3rDbPdiYZBHXameUwCq9WKpqYm9Pb2orS0FNnZ2auqN1oO8wlIZ2cnGIZBbm7unOPvvffeyf7+\n/v8ym80nOb2xy8CGzzBdDCIihmG++thjjzXm5+dvu/LKK6efJB6Ph927d6O2thZOpxNDQ0OXRThm\nEhUVhbKyMgwODqKyshLp6ek4sDUG7zaNokthWNCOD+Dhs04VLA4Xrs2LQ2dnJ5RKJXJycpCYmHhZ\ns1xnZqJKJBJYrVaUlJTMuYcXXnjBdvLkyYrx8fGfX7ab45BNvfIAACKyqtXqq2+//faxCxcu+Lwm\nEAhQVFSEjo4OJCQkXFbh8MLj8bBlyxYcOnQIDocD/PFeAEBVX2DswlJ80DyKGJEANlkHQkNDcfjw\n4RX1AWGTtLQ08Pl8DA8Pz+lDCgDvvPOO89FHH+1RqVS30WLe+g3EphcPACAiuVKpPHLDDTfI29o+\nH/HpbeO/Z88eaDSaFWWEso1AIEBubi6uv/IgUiOFeO98L0ZGRjZUY5/LhcPhQEtnD053qXAkMxxX\nHDmCjIwMzk2UhfBmrAqFQmzfvh319fU+PpCTJ0+67rvvvj61Wn2IiDZNIs8XQjwAgIj6FQrFFddd\nd52iq6vLx8cRHx+PvXv3QiaTsTqf1h+Cg4Nx655MdGpd6JRpUFFRgZ6eHk5HS2wUzGYzOjo6UFVV\nhepBA5wE3HEkj9OK3aUgIrS1tcFut6OkpATp6ek+PpBPPvnEfdddd/Wr1eqDRDSxZjfKAV8Y8QAA\nIuoZGxu7+uqrr1afOHHCx8chEAiwZ88eqNVqTmfgLofb96YhiM9DtUqAQ4cOTVfrtra2YnJycukT\nbCKICBqNBg0NDWhsbIREIsGRI0dQp3AhWRKKktSFGyNzjdvtxoULFyAQCHzSzr1O1BdffBF33HHH\n0JRwLG/ozwbiCyUeAEBEHaOjo9c8/PDDmtlJZHw+H6WlpdPdu9fKZIgND8aNhYl4p1EGi5Ome5XG\nx8ejs7MTZ8+exaVLl2C1Wpc+2QbFaDSiq6sLFRUVGBoamvYLJScnQ29xoqp3HDcWXV7H6EwcDgdq\na2sRGRmJvLy8OffR09Pjfuyxx0ZUKtVBItqUDqwvnHgAABG1yGSyK6666iple3u7z2s8Hg9FRUUI\nDQ1lbaq6P3z9QAZMdhdONHrm8zIMg4SEBOzduxf79u0Dj8dDQ0MDzp07h5GRkU0xx8VsNqO/vx+V\nlZVob29HeHg4ysrKsHPnTp9cjT9UD8DpJny5JGVN7tNiseDcuXNIS0tDVlbWnNc/+ugj19GjR/sV\nCkUpEcnX4BYvC8wmcfz6BcMwuQkJCac//PDDxJ07d855XSaTob+/H6WlpUuWbXPBzc9VY9LiwKff\nP7JgxajRaMTY2BhUKhWICHFxcZBKpZBIJKx/Kp85cwZXXHEFa+dzu93QaDRQqVRQq9UIDg6GVCpF\nUlLSgoOktSY7Dj1ZjiO5cXj+2C7W7mW56HQ6NDc3o7CwcN7o3Hvvvee89957+1QqVRkRbe5sv7Vu\nKLKSDUAqgNMALgLoAPC9qf2/BNAFoBXAewAkU/szAFgANE9t/zPjXDdNHf+mVCqVnT171k3zoNFo\nqLy8nNRq9Xwvc8p7F2SUfvwkVXSrlnW8zWYjmUxGjY2NVF5eTrW1tdTT00NqtZrsdvuq72e1zYCs\nVispFArq7OykmpoaKi8vp5aWFlIoFMtutPOLDy9S5sMnqVc5uap78Yfh4WE6c+YMGY3GeV9/5ZVX\n7LGxsR0AGgG0AOgE8O/ked7+aeqZdQMopc+fw+U8o78hDt9X/m4bauXBMEwigEQiusAwjBieP9LN\nAFIAlBORk2GYJwGAiI4zDJMB4CQR5c9zrjcBHAPwKIAz8fHx//3YY49l3n333XM6ylgsFjQ0NCA5\nORmZmZmXzc62O904+GQ50qJFePue/StqjExE0yM4vU2IXS4XIiIiIBaLERYWNr0tt6fFclcedrsd\nJpNpejMYDDAYDAgKCppuvhwVFYWQkJAV/S5Vk1Yc/uVpXJ+fiGduK172960Wt9uNixcvwmKxzNs+\n0O1246GHHjL88Y9/vKBWq2+CJz/RyDCMEEAVgB8AGIdHOP4XwA+IqAEAVvCMvklE7bOPWUs2VIYp\neexH+dTXBoZhOgEkE9GpGYedB/CVZZyOB0AIQARAplKpdv74xz8+0djYePC5556LmPmAeJv7tLe3\no6GhAcXFxZdlhEGQgIcfXpuLh95pxVsNI/jqnrSlv2kKhmEQHh6O8PBwpKamAvBUeRoMBhiNRhgM\nBigUCphMJrhcrum+pN6epN5/Z4ZB7XY7hoaGAHh6cc5sguz9l4ggFAqnhUksFiMxMRFisXjVovvc\n6T44XYTvXZ29qvOsBLPZjAsXLkAqlc7bA2RychI333yzrr29/WW1Wv0g+XYCEwLgA9DRVB3LCn8H\nM5/RdTdXdEOJx0ymFLsEQO2sl+4C8OaM/2cyDNMMYALAj4iocmr/i/B8KpQTUffUOW949913f9ba\n2vrtDz/8MGqmk47P56OoqAijo6Oorq5GcXHxovNT2eIru1LwdqMMT3zchWvypIgJX16rvfng8/nT\ns11m43K55giBw+Hw6YJGRNMRqKCgIISFhc0RHK4StWQ6M16rG8Y/laYiPWZlzaX9RaFQoLOzc97m\nyADQ19eH6667TqNSqb47OTn5mnc/wzB8eFbFWfCYIUutGJb9jK4r1tpu8mcDEA7PH+fLs/Y/Ao/P\nw2uOBQOImfp6F4ARABFLnT8sLOzm9PR0dUdHB82HwWCgs2fPUnd3N7nd87pKWKVHMUlb//VD+v6b\nzZxfazHWqgGy2+2mf361gbL/7SMa1Zk5v57D4aDm5mY6f/48Wa3WeY85deqUSyqVjgIooYWfUwk8\nH25Xzth3Br4+D7+e0fWwbbhQ7ZQdeQLAn4jo3Rn7vwHgRgDHaOovQUQ2mvJ4E1EjgEsAcpa6htFo\nfH9oaOjIVVddNfLBBx/MaUAaHh6OgwcPwuVyobq6mvMh09lSMe4+vAUnLshw7gtYrv9G/Qg+alPg\nX67JRpKEu2n1gCeaUlVVBYlEgj179syZ5kZEeOaZZyzHjh3rUCqVO4moaaFzEZE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "phi = np.linspace(0, 2 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.polar(phi, np.sin(phi) ** 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Экпериментальные данные\n", "\n", "Сгенерируем выборку из стандартного нормального распределения.\n", "Нанесем на график точки выборки." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.stats as sps" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample = sps.norm.rvs(size=200)\n", "\n", "plt.figure(figsize=(10, 1))\n", "plt.scatter(sample, np.zeros(200), alpha=0.2) # alpha - прозрачность точки\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно добавить график плотности" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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RLYnF4JFHYOhQmDABZs0KOiKRbVJiJZ2LtXDppW5a9x/+oLIKIm1dly7w9NNu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\nwMIWERHpsIqL3Qz4Pffc8t9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = np.linspace(-3, 3, 100) # задаем сетку для построения графика плотности\n", "\n", "plt.figure(figsize=(10, 4))\n", "plt.scatter(sample, np.zeros(200) - 0.02, alpha=0.2, label='sample') # label - описание в легенде\n", "plt.plot(grid, sps.norm.pdf(grid), color='red', label='density') # color - цвет графика\n", "plt.legend() # добавляет легенду\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Нарисуем гистограмму" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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VSmt9UymVDNiC9WdksyvO57Et938Ke5RUwGVTWRJKa/2T1vp+1NPt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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "n, bins, patches = plt.hist(sample, range=(-3, 3), bins=20, normed=True) # normed - нормированный\n", "plt.plot(grid, sps.norm.pdf(grid), color='red', label='density') # color - цвет графика\n", "plt.text(-2, 0.3, r'$\\frac{1}{\\sqrt{2\\pi}}\\,e^{-x^2/2}$',\n", " fontsize=20, horizontalalignment='center', verticalalignment='center')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Предположим, что выборка приходит постепенно.\n", "Для каждого момента времени посчитаем выборочное среднее и доверительный интервал.\n", "Нанесем их на график." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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LL7wQN954IzZt2oSbb74ZR44cAQBs2bIFH//4x7F582Z0dHTgxhtvnPCYAwMDuPbaa3H/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\n5Bnp4MMntOszd8hbW5O/uip9+OPuVtPByb5Pku5oc9wTORc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qkKGsDL1ot+m6Tcipw+bx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time = np.arange(1, 201)\n", "means = sample.cumsum() / np.arange(1, 201)\n", "\n", "plt.figure(figsize=(15, 8))\n", "plt.scatter(time, sample, alpha=0.2, s=40, label='sample') # s - размер точек\n", "plt.plot(time, means, color='red', linewidth=2.5, label='sample mean $\\overline{X}$') # linewidth - толщина линии\n", "# заполняет пространство между двумя функциями\n", "plt.fill_between(time, means + 2 / np.sqrt(time), means - 2 / np.sqrt(time), alpha=0.15)\n", "plt.legend()\n", "plt.xlim((1, 200)) # размеры графика по горизонтальной оси (ставим None, если по стороне ограничений нет)\n", "plt.ylim((-3, 3)) # размеры графика по вертикальной оси \n", "plt.xlabel('Time') # название горизонтальной оси (аналогично plt.ylabel)\n", "plt.title('Sample by time') # имя графика\n", "plt.grid() # добавляем сетку\n", "plt.savefig('example.png') # сохранение в файл\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Посмотрим еще на то, как можно закрашивать график в соответствии с какой-то функцией.\n", "Для примера возьмем плотность распределения $\\mathscr{N} \\left( \\begin{pmatrix} 0 \\\\ 0 \\end{pmatrix}, \\begin{pmatrix} 2 & 1 \\\\ 1 & 2 \\end{pmatrix} \\right)$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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ReO6Zb/Hqy0swZdqtSEioa3ZY5UJZrNB0BnAHgH8ZY7sL9k3gnC811r2iZWbl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\n7HebKk1+lTObypU9lcxqfGEfii8i5SxHOfl9EN/q+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = np.mgrid[-3:3:0.05, -3:3:0.05]\n", "density = np.array([[sps.multivariate_normal.pdf((grid[0, i, j], grid[1, i, j]), mean=[0, 0], cov=[[2, 1], [1, 2]])\n", " for i in range(grid[0].shape[0])]\n", " for j in range(grid[0].shape[1])])\n", "\n", "plt.figure(figsize=(14, 6))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.pcolormesh(grid[0], grid[1], density, cmap='Oranges') # закрасить с интенсивностью density, cmap - цветовая схема\n", "plt.xlim((np.min(grid[0]) + 0.2, np.max(grid[0]) - 0.2))\n", "plt.ylim((np.min(grid[1]) + 0.2, np.max(grid[1]) - 0.2))\n", "plt.title('Gaussian density')\n", "\n", "plt.subplot(1, 2, 2)\n", "CS = plt.contour(grid[0], grid[1], density, [0.005, 0.02, 0.05, 0.085]) # нарисовать указанные линии уровня\n", "plt.clabel(CS, fontsize=14, inline=1, fmt='%1.3f')\n", "plt.xlim((np.min(grid[0]), np.max(grid[0])))\n", "plt.ylim((np.min(grid[1]), np.max(grid[1])))\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Контурные графики\n", "\n", "Пусть мы хотим изучить поверхность $z=xy$. Вот её горизонтали." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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w0A4cTDvPPzF7WR8fxdLYfXjbudDNvxE9/JvS2D1I85GjSm8qFy+nsengGdbt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\nqQwVSakMFUmpDBVJqQwVSakMFUmpPkxWB1cV+PysAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 1, 50)\n", "y = x\n", "z = np.outer(x, y)\n", "\n", "plt.figure()\n", "plt.contour(x, y, z)\n", "plt.axes().set_aspect(1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Что-то их маловато. Сделаем побольше и подпишем." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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GesZS0FROX9dwjB16ICk1J1hS8At9XcOZ7DeUreXJNBlaGOXd/5SgNLQ1I4TA\nyUICM9H/eiKd4/gh/y0+zHyWcX7XMc53zqmUCkpxSXyimpv1vP3Oep7+8/c4Otjyzn8WMHxY+xPC\nwqthHe1tGTskitnjB/DsuysBmJwYg7ODHet3HyenyLwj4Zpx/bG10SKlxM7WhiAfN4sIyjc7k3lh\n2Sae+HYlKfklDOsVyrBeIaw6dJx1h83Ji65L7I/RZKK0tkHx9rsbVa1NfHcimaU5KdwSncBjcWN5\n79gOsuosk3LS286dgR7RtJraWFq4jbQ6c3b/43W5HKrJJMYlFDutjpzGYqKcg4hqj7d8kLmcN9O/\n5869r7C2eI9FfAOIcO7Hw73fIt59DJtLv+fDzGcpaylQtI0e31M5cCCHN95aS3FxDXNmJ3DXHWOx\ns+BMyum06g3sOJTFKw/O4PHiKhYu3ck9147koXljWLh0Jx8t20Viv1C+XZfE3AkDLTrU2HMin0W7\nU3jl+ivZl1XAC8s2cdfYBIZEBOFoZ8s3Ow+yIz2XvMoagjxdCfRwtZgv3YFWo4HluUfIqqvkwb6j\nifcy58xxt7OnwaB8adGOuOgcuTb4CtpM5iHXvNAJRLkE807GTxgxMc5nEGN8BtBkbGFjaRLZjUU8\n12cBTcYW/pvxE4M8ovGzt0xaUQetE9eFPkof16EsL/yQdzOeZLzfdYz2noWNpvPfnR4rKjU1Tbz3\nwSY2bjpKUKAH/35jPgPiu7bSnslk7nVEBHrRZjTyxmPXMOXh9/lu/QEWv3Qbt16VSGpOKduTT3Dr\nVYlMH6Vsgu7TKatrIC7Yj35B5leUnxdf7Ujm6oGxzBjUh5FRoWxJzWJU7zCmXqJJmjqytzyPX4pP\n8Gi/K4j3CqTNZGRdQRoRLl7EeVim/nVHHLR2OGjtMEoTAhjs0ZtZwWP4KX8rB2symK4fQUZ9Ppn1\nBcwPm4ybrTNNzS1U6+tx1Fo+IXmc+0jCnfryc9FHbCj5lpSaX5kVdB9hTp2rkNgjRaW2rpnb7lhI\nU7OeBTeN5Kb5I7G14LRsZW0jdjobHO1t0WjEqTjNyZmehqZWjp4oYfvBE3i4OKDRaPDxMOde8fFw\nZvSAyC7ZlDgwLICdGbmkFpURG+DD6N7hOOhs+OtPG7DT2TAlLpo5Q+Ms7kd3wGgy8UPWIa4O6csg\n7yD0RiP7K/I5VFlIX3c/BHRZkFrbPn1b3FxJUlUaD0RdS4CDF1qh4UhtFqGOfgxwNw/XTzQUEe/e\nCxedI8WA4VdCAAAgAElEQVTNFRQ2V7Cr4ijXBI8hxFH5WUtnnTs3hj1Fat0+fi78iIUnnju1h+hi\n6ZExldKSWsLCvFn4wR3cftsVFhWU7zcks+D5r3nz2628+Nl64Lc4jckksdFq8HJz5Im3lqHRaFjx\nxt0AfLFy7ykblhSUqoYmKuobqWpoIsTTHU9nR1YdPE5BdS16g5EhEcE8PHkkacXlFvOhOyKEwE5r\ng6E9WLoi7whbizNx1tlxXcSAU9O7Ukr2luWxpyzX4j4FOHhxZ+RVhDsFEOzoS7W+nl0VR5nib85Q\nl91QTGpdLkEOPrSZDLyV/gPJ1ek42tjx18MfkVxtuSoBfVyH8mjv/zDKewb7qzqXE6ZH9lSCgz35\n9xs3WfzpX1BWw9akDD7723w8XR2575XFfLM2iTkT4rG31Z1qf+LQ3kwb2ZdQf3Mi6YXPzcPDxbJb\n4AEKqmr564/rcbDV4efmzKzBfXlg4nBeXLGFr3ckM7p3OKN7h5NRUkF5feO5DV5CaITg7tjhPL5r\nGStyjxDg6MZw31CuCu2LvY0Ok5RohKCqtYlGQyv/OrSFu2KHMTdiwLmNd4LgDr2NBkMz/dwicLN1\npqK1huTqdJqMLVwVOJLXj3+Hj507d/c6uaReoDcpk1XuTNhpHZgeeDsD3K/gxf/Jo3Zh9EhRcXS0\n7ZLhhL2tDkd7W/RtBnQ2Wp5ZMJF3f/yV2DBfhvQJOTUMigox53cxmSQSiY+7s8W71XXNLTzx7UoW\njBpMYmQIa1LS+OV4FoPCAnn+mol8/msSW1Kz+GTbfgxGE29fBsmZTqe3mw9fj7+JhjY9fg4u2GrN\nmfuMJtOpqXQveyfGB0YT4eLFfb/+SIiTO8N8w7rEv2AHH47V5fBK6tdUtNbS2yWEucHjSKk5QXJ1\nBotG/v3UtQ2GJkpbuiaLW5Bjr07d3yNFpaswGk14uDpSWdtEoI8bvdvF5MfNhxjSJwSNRrDvWB76\nNgOjTsVNumYhWXJuEf1DApjRnhpyTEw4z/2wjusSawnycOPe8cPQGwwUVdfj6eyA6yVUifBC8LBz\nxMPOkVV5x/C0c2SEXzhajeZ/4ikmKQl38WRsQC80XbgQ0NPOlU8S/8zKop246ZwY4zMAKSX/Sf+B\nB6KuOXVdWl0eOysOc1v4tC7zrTP0yJhKV+Hn5YKvhzMb9qRRWWsePtwyfShZhRXsO2Zef6DVarpk\nqHM6Y2MjueOKIUgp0RuMhHi64eHocGpPR3FNPVqNhnAfD6sLyndzrue7Oddb1YdRfhHYdFjoJ4GG\ntlYMJhPHqktYkXuUpTmHsdUon4f4XFwdOJIxPuZhV72hiUAHb2Jdf+stvZ62iOtDJuJm62yxJf1K\novZUzoDBYMTGRss9147k6f+uYO/RPAbFBBPk48bg2BDcnMxf1MExyu9yPhcnn7JBHm4A2LYn5LbT\n2SCRHMgp5PPtSfx11gR8XZWvANATcbdzYKhPKEtzDrM46yAONjqKm+rwc3Ch2dBGsJMb/x4xiwFe\nQVS2NHK0ugSdRssIv/Au9dNBa0dxSyV7Ko8R7x7FqqKdeNu6MTtkLIBFNwIqhSoqZ+Bk5vzvNyTT\n2KynqLyWDXvSsNVpKSqv4+5rRljZw984KTI+Lk589Wsy+7MLeGTKSFVQ/oAr/CP5LH0v0a7evD9q\nLnZaG9pMRnQaLUaTiTX5qbx3bAdxngHsLs3hxqjB3BPbdf/XOo0Nd0fO5L3MJSRVp9HHNYx5IePZ\nWXGEEV79esQ+LVVUzoDJZOLzlXtJzyvn+bun4uPuzM6UbKrqmpgxpuvXelQ1NNFmNOHnduYgsK2N\nli93HODdW2YxJiaiiz3sGXjZO/HpFTfwxO7lfHR8Nw/1G41Oo6WypZEtRZnsLs/lrpjhzAqPo7S5\nnueT1lLT2oy7XdfUZQKIcgnizUEPU9fWiKvOiZ8Ld/B2xo9M9BvCI9FzLbb5UClUUfkDKmoaefnz\nDWQVVvDNP245Vd941ADrFDT/5/LN5FbW0NiiZ1hUCHeNHYqTndmnjjMZo3uHE+ThythLrPC60njb\nO/Hv4bN4aOcSpoXE0svVm/TacnaV5TA1OJYpweYaO6vzUrERmi4VlI642JhjddMDR1DT1sDXOes4\nWpvNkzE3MNCj+1aY7KpayuOEELUd6in/7Xzv7UqklKzffZwb/vIFe4/mMnfiIOxtdZhM1ktmtCsz\nl2OFZXx0x2xenz+dowWlvL1+BwVV5gLyWo2GZn0bmaUVjIwO46aRg6zma0/Cy96JL8fNp5erN20m\nIy8e3EC8Z+ApQUmpLKK8pYFrwvsD5hmiJoO+S3082SPVCg0Lwqfy5qCH0QgNTx16j3czltBstOz+\npYulS2opt7NdSnn1Rd5rccqq63n1y81sSz5Bv0h/nr/rSsIDLbOh60JwsrPDyd6W2uYWAt1deevm\nGbzy81be37ybF+dOBWBLahZVDU1E+XWPAt09BV37TE9VaxPhzp7c2l57+UBFAVuKMzFIExMDo1mS\nncLxmjIy6soZ7B3Mw/3GWMXffm4RfJjwFJ9krWRZ4Xb2VB7jsd7XMdgzxir+nAklhj+naikDCCFO\n1lI+H2HozL2KYDAYWbQhmY+X78JoNPHQvDHMnzoEG233iLKHeroR7u1BSl4xCRHBONrqeGHOZO7+\ndAkvrdjCczPHM31A9/pQnY7RZCKltISSRnOqBX8nZwb4B3TpmpCz4WHrSE5DFa8e2owEGttacdbZ\n8VT8eD5J28P3WQd5buAkZkf05+m9KwlydGN2RLxVfLXX2vJg9GxG+8Tz77TFPJPyAeN8BnFv1Ey8\n7SyXJvVCUEJU/qiW8rA/uG6kECIFc/XCP0kpj17AvZ0qe3om9qfm8dpXW8guqmT0gEievGkcQb7d\n4z/mJO5ODkT7e/HjviNoNRr6BPri4eTA/5s1gW93HbS2e+fkl5xs/v7LZsLc3Al0MSeALm6oJ6em\nhr+PncDYcOsHlG21Wr6fcCvvHvsVk5Rc32sQ/Tz8+Tx9H5+l7+WnSbfh72hOEzEuoJfVYiwdGeAe\nxcKEp/g+fzOL8jaxp+oYC8Kmcm3wFdhYYa1NR7oqUHsACJVSNgghpgPLgAuKNEkpFwILARISEjoV\n5CiprOO/329nw940An3ceOPRWYwZ1LmlyZbg5FTxvMR4HHU6liUdI7u8inBvT9YeTqOxtWvH+BfD\nC9u28PW11xHk+r+5Wwrr6rh1+Y/dQlQAnHS2PD1gwqn3O0qzWZKTwqIJt5wSlBZDG4erihnq07Up\nNs6ErVbHgvCpTPIbwnuZy1iYtYK1JXu4P+oaEjw7l76gMyghKuespSylrOvw+2ohxHtCCO/zuVdJ\n6hpb+Gr1PhatPwDAXbOGc8tVQ7G37bqkTheCEOLU7I67kwMNLebA3JL9R3C00/Hm/KvPYcH6mKTE\nx+n3Ge58nZywYvz7nNTqW5gWHEuI82891/lbvibazZsx/t1rdi3AwZt/9L+L3RVHeS9zKc+mfMhQ\nz1jujLyaXs5BXe6PEqJyqpYyZkG4AZjf8QIhhD9QKqWUQohEzLNOlUDNue5VghZ9G4s3HuTLVXup\na2zlyhGxPDh3DH5eLko3pThajYbUojLeWLOdf8yZTFywPzeNHNRjymvM6xfHtd9/w9W9Ywhw/m34\nszI9jXl9u29ul4zacrLqzSknCxtreXLPcoKc3PhXonljZndMGD7cux+DPWNYXrCdb/M2cP/+N5jg\nO5hbI65UvOzq2RBKfDjbhzRv8Vst5Rc71lJur7V8P2AAmoEnpJQ7z3TvudpLSEiQ+/efu8h0S2sb\nP21J4avV+6iqa2JkfDgPzBlN7zDLleiwBNnlVbQajMQG+NBmNKLTWnfMfKFkVlWyMesEpe2BWj8n\nZyZH9qKXp5eVPTszRpOJO7d/b+5p2TvhZuvA3wabkxd1R0E5nfq2Jr7P28TSwu0YpZHJfkOZHzbp\nvMVFCJEkpUy4mLYVEZWu5lyi0tzaxpLNh/hqzX6q6ppI6BPCXdeMsMo+nc5wpKAEL2cnAty7f4/q\nTHx7+BDz+1s2R4klyayrwE1nj4+DM0aTCU2H2j09gYrWGr7P28yqol0YpYnJ/gnMD5tM4DnEpTOi\nckmtqK1taObHzYf4fkMyNfXNDO0bysuzhjOoh4kJQEp+Cfd8uoT+wX58dGfXle5Ump70BfwjolzN\nXz690cjDu5YQ5+FvtXUqF4O3nTsPRs/m+tCJLM7bzKriXWwo2c8434FcHzqRSOdAxdu8JEQlv7Sa\nResP8PP2o7ToDYyKj+C2GYkMiO76IJUSbE/L5snvVuPhaM//zZlsbXc6xY1x1lnPoTRaIXC2seOt\nI9uo1bfw7ICJPapmkredGw9EX8v1oRP4MX8rq4p3sbnsAIM9ejM3eBwJnrGKPQB67PBn79597D6S\nww+bDrIzJRsbrZYrR8Ry45TBpzKx9TSklHy5I5nXV2+jt7837946C3+3njv0OcmWnCxzTKWhPabi\n7MzkyCjGdZPp5PPFaDLx0sGNfJ6xj3EBvXhrxLW46Oys7dZFUd/WxKriXSwr2E6lvpYQR19mBo5i\nsv9QnGwcLr+YSmR0XzngmicpLK/F09WRa8f1Z86EgXi7W6baX1egNxh5ccVmftx3hEn9onh53pU4\ndtOp7gvh+a2byK+rZXZsXwJOLn6rr2fJ8WOEubnz/NgJ57DQ/fg28wD/d2AdES6eLBwzj1BnD2u7\ndNG0mQz8UnaQ5YW/crw+F3uNLRP9hvB47PWXl6g4e4fI+U+8znUTBzJuSBQ6m541G3I6NY3NPPbt\nSvZlFXDP+EQenjSyS3LwdgXjv/iELbfeecHnujs7S3N4aOdPaBC8N2ouib7dY0FcZ0ivz2dF4a9s\nKUtm9djXLlpUes6gsAO9gr1Z+Nz1TB4W0+MFJSm7gLnvfMOhvGL+Ne9KHp0y6pIRFAAHnY7k4qLf\nHT9YUoyjruf2xEb6hfPTpNvxsHNkwdZv+CB1J0ZT90/1eDZ6u4Twp9gb+W7E852y0yN7Kue7TqU7\nozcYeW/TLj7+ZR/BHm68fuN04oL9re2W4hwpK+VvWzZRp2/B39kFAZQ0NOBia8c/J0yir0/PWjN0\nOvX6Fp7bv5rV+akk+oTy+rCZBDm5WdutTnPZxVR6uqhklVXx58VrOFpYxpyhcTxz1dhTSZcuVcqb\nGv8nUOvj2HPjX6cjpWRpzmH+78A6hBC8MORKZoZ139XC54O6TqWHoDcY+Xx7Eh9s3o2DrY63b57B\nxH5R1nbL4hhNJgpqa0+lPmgzGvFycOw2qQ86ixCC2RHxDPUJ5Yndy3l893JW5afy/OCpBDq6ntvA\nJYbaU+kiDuQU8n/LNpFZWsmUuGiemzEOn8sgMXVPSH2gJAaTiU/T9/CfI9vQCg2P9x/LgqiE/ykP\n0hNQeyrdmNLaBt5a9ysrklPxd3PhnVtmMr5P90uzYCl6SuoDpbDRaLgndgTTgvvwt6Q1/DN5Az9k\nHeKvgyYzsovLfVgLVVQsRE1TC5/8so9vdiZjknDPuETuGjf0ko+dnE5PTX3QWUKc3fn0ihtYX5jG\ni8kbWbD1G8b4R/JU/Hj6eVx6AfmOqKKiMM36Nr7emcynv+ynvrWVGQP78NDkEacKf11u9NTUB0og\nhGBqcCxj/XvxVWYS76fuYOb6T7g6tC9P9B9HWA9eNHc21JiKQjS26lm8J4XPtidR2dDEuD6RPDpl\nFL391WTUPTH1gSWo07ew8PguPk/fR5vJyDXhcdzXZxQRLtZPsH466pSyFamob+S73Yf4btchaptb\nGBEVyv0ThzMkvGduZlSxPGXN9XyQuotFWcm0mYxcGRzL3THDifdSfsfwxaKKihVIyS9h0e5DrElJ\no81oZEKfXtw1dijxoQFW9au7UdPSzAdJ+9iUdYLyJnORe29HRyZFRnH/kETc7Lt3tT1LUtHSwKdp\ne/n2xAHq21oZ7BXMgughTA2OxU5r3ciEKipdREubgTWH0vhu9yGOFpbiaKtj5uC+LBg5iHCfS3N8\n3FluXvoDo0PCmNO336kFb+VNjSxJPcqOvDy+vHaulT20Pg1trfyQdYivMveT21CNl50T8yIHML/X\nYAKttDpXnVK2IFJKknOLWH7gGGtT0mlo1dPL15O/zpzAjEGxONv3zK3vXUVxfT33JST+zzEfRyfu\nHZLI4qNHrORV98JZZ8ftMYnc2nsoO0qz+TpjPx8e38UHqTsZ5RfB7PB4pgTH4GDTM/ZKKSIqQogr\ngf9gzjP7sZTyldPO3wQ8AwigHrhfSnmo/VxO+zEjYLhYdVSa7PIq1qSk83NyKnmVNTjY6pjcL4rZ\nCXEkRAT1+IxmXUWQiysf7N/LnD79Tk0tlzc28lPqUYJdL7/VpmdDIwRj/CMZ4x9JYWMtP2QfZGnO\nYZ7YsxznJFumhfRhRmg/hvmGdevFdJ0e/rSXLk2nQ+lS4MaOpUuFECOBVClltRBiGvB3KeWw9nM5\nQIKUsuJ827TU8Ce7vIp1hzNYdzid9BKzO4mRIcwa3IfJcdGX3RoTJahrbeH9/XvZmHWCyuYmpAQv\nRwcmR0Zxf8IwXO3Unt7ZMEnJvvI8luSksCb/OI0GPZ52jkwJimF6SB+LCYxVYypCiBGYRWJq+/tn\nAaSUL5/heg/giJQyqP19DlYSFaPJxMG8YramZvHL8SxOlFUBMCgskCv792ZyXDR+bpf+UnqVnkGL\noY1fSk6wOj+VzUUZNBnacLd1YFxALyYERnOFfyQutsoEvq0dUznv0qXt3Ams6fBeAhuFEEbgw/ZK\nhL9DqbKn5fWN7M7MY0d6DtvScqhtbsFGoyEhIoh5ifGqkKh0W+xtdEwNjmVqcOwpgVlfkM4vxZks\nyz2CjdAw1CeUsQG9GOMfQYybr1WG6V0aqBVCjMcsKqM7HB4tpSwUQvgCG4QQx6WU206/92LLnja2\n6jmQU8SeE3nszMwjrbgcAA8nB8bGRjCuTyQjo8NwUQOuKj2IjgJjNJlIrixkc1EGm4syeeXQJl45\nBD72Tozyi2SUXzjD/cK7bMd0l5Q9BRBCxAMfA9OklJUnj0spC9t/lgkhlgKJwO9E5XypaWzmYF4x\n+3MKSMou5FhhGQaTCZ1Wy+DwQB6bOopR0WHEBvheUhnWVC5ftBoNCT4hJPiE8PSACZQ01fFraTa/\nlmSzreQEy3IPAxDq5M5Qn1ASfUMZ4h1CuLOHRXoySsRUbDAHaidiFpN9wHwp5dEO14QCm4FbTlYm\nbD/uBGiklPXtv28AXpBSrj1bmydjKkaTiayyKlLySziYV8TB3GKyys1xERuthv7B/iREBJEYGcLA\nsMBLIpG0isqFYJKStJoydpXlsLc8j33l+dTomwHwtHNksFcQg71DGOQVRD8Pf5x05skIq8ZUpJSG\n9rKm6/itdOnRjmVPgb8BXsB77cp4curYD1jafswG+PZcggJQUtvALR8u5lhRGc36NgDcHOwZGBbA\nzMF9GBgaSP8Qf+x16jIca2OSkpqWZhx1Oux7yDqLSwmNEPTx8KOPhx93xAzDJCWZdRUcqCgwvyoL\n2FiUceraXi7eDPDq3KrwHrmi1ikwVM7666vEBfsRF+xH/xB/wr0t05VT6RxVzU0kfPQ+fx87gVsG\nDLK2Oyp/QGVLIylVRaRUFZ/6uf/aJy6vFbWxgb58+8AN1nZDReWSwMveifGB0YwPjAbMq8g1PHHR\n9rrvsryzoPZHVFQsR2d7/D1SVFRUVLovqqioqKgoiioqKioqiqKKioqKiqKooqKioqIoqqioqKgo\niioqKioqiqKKioqKiqKooqKioqIoqqioqKgoiioqKioqiqKKioqKiqKooqKioqIoqqioqKgoiioq\nKioqiqKKioqKiqIoIipCiCuFEGlCiEwhxJ//4LwQQrzdfj5FCDH4fO9VuTQobWywtgsqXUSnRaW9\n7Om7wDSgL3CjEKLvaZdNA6LbX/cA71/AvSo9GA97B8aFR/DB/r0sPnrY2u6odAFK5KhNBDKllFkA\nQohFwCzgWIdrZgFfSnOW7d1CCHchRAAQfh73/o682hoeWLVCAddVLImrnR1PjhjN+9Nncu/K5Ty7\naT0bsjLRabTWdk3FgnRV2dM/uiboPO8F/rfsqWNIMFnVVZ3zWsXi5NbWklRcxLez5/Hh1bP4y+YN\nHCkrtbZbKhamx2TTP73s6dqbb7OuQyrnZG9hAXesWML8JYv5fu71vD5lmrVdUjlPxILbL/peJQK1\n51P29EzXnFfJVJWeSWJQMB9cNYsT1VWsycywtjsqXYQSorIPiBZCRAghbIEbgNMDHiuAW9pngYYD\ntVLK4vO8V6UH09fHBwCjyWRlT1S6iq4qe7oamA5kAk3A7We7t7M+qaioWA9FYipSytWYhaPjsQ86\n/C6BB8/3XhUVlZ6LuqJWRUVFUVRRUVFRURRVVFRUVBRFFRUVFRVFUUVFRUVFUVRRUVFRURRVVFRU\nVBRFFRUVFRVFUUVFRUVFUVRRUVFRURRVVFRUVBRFFRUVFRVFUUVFRUVFUVRRUVFRURRVVFRUVBSl\nx+So7UhmXQVP7/mZeM8A4j0DiXH3xU7bI/8pKipWR0pJflUtRwpKOVJQwpGCziUn75HfRBuNhi3F\nmfyUkwKArUZLnEcAg72DGewdxBDvYLztna3spQqAi60di+ZcT5ibu7VdUWmnpc3A0YISkvOKOZhb\nxMG8YqobmwGwtdHSJ8C3U/aFOSlbzyIhIUHu27ePoqY6UqqKOFhZxIGKAo5UF6M3GQEId/Yk0SeE\nRN8whvmGEejoamWvVVSsQ2OrngM5RezPLmB/TgFHCkoxGM05gyN8PBgYGkh8iD/9Q/yJ8vNCp9Ui\nhEiSUiZcTHudEhUhhCfwPeaiYDnAPCll9WnXhABfAn6ABBZKKf/Tfu7vwN1Aefvlz7WnlzwrCQkJ\ncv/+/b873mo0cLS6hKSKAvaV57GvPJ+6thYAwpw9GO0XwWj/SEb4huFia38x/2QVlW6PwWjiSEEJ\nOzPz2JmRy+H8EgwmEzYaDf2C/BgSEcTg8EAGhgbi4eTwhzasKSqvAlVSylfa6yB7SCmfOe2aACBA\nSnlACOECJAHXSCmPtYtKg5Ty9Qtp90yicjomKUmrKWN3WS47SrPZU55Lk6ENrRAM8AxiXGAvJgZG\nE+PmixDiQlxQUelWVDY0se14NluPZ7HnRD71La0IAf2C/BgRFUpiZAgDwwJxtNWdlz1rikoaME5K\nWdwuHlullDHnuGc58I6UcoOlReV09EYjyZUF/FqazbbiExypLgEg0NGViYHRTArqzTDfMLUsp0qP\n4ERZJZuOnmBrahYpBcVICX6uzozuHc7I6FCG9wrF/Qw9kXNhTVGpkVK6t/8ugOqT789wfTiwDYiT\nUta1i8rtQC2wH3jy9OFTh3tPlT0NDQ0dkpube9F+n6SsuZ4tRZlsLsrg19JsWowG3G0dmBIcw/SQ\nPgxXBUalm3GirJJ1hzNYdzidzNJKwNwbGdcnkvF9IokN8FGk121RURFCbAT8/+DUX4AvOoqIEKJa\nSulxBjvOwC/Ai1LKJe3H/IAKzLGWf2AeJt1xLqcvtqdyNloMbWwvzWJ1XiqbijJoNOjxsHVgekgf\nZkfEM8AzUB0iqViFsroGfk5O5efkVDJKKxEChoQHMSWuN5PjovB1VX6ms9sPf4QQOmAlsE5K+eYZ\nbIUDK6WUcedq1xKi0pFWo4FtJSdYlZfK+sI0Wo0Gerl4cW14f64N74+/OpOkYmFa2wxsPJrJ8gPH\n2JWZh0lKBoYFMD0+lilxUfhYQEg6Yk1ReQ2o7BCo9ZRSPn3aNQL4AnNA97HTzgW0lz9FCPE4MExK\necO52rW0qHSkvq2VNfmpLMlJYV95PlohmBTUm5ujEhjhG6b2XlQUpaCqlu/3pLBk/xFqmloIcHdh\n5qC+zBrchzDvPxwEWARriooXsBgIBXIxTylXCSECgY+llNOFEKOB7cBh4GRB3eeklKuFEF8BAzEP\nf3KAe0+KzNnoSlHpSG5DNYtOJPND1kGq9c30cvHipqghzImIx1ln1+X+dEfqWlt5f/8eNmRlUtnU\njBDg5eDIpMhe3J+QiKudOpV/OlJKdmTk8u3Og2xLz0YjBOP79OKG4fEMiwxFo+n6B5fVRMVaWEtU\nTtJqNLAq7xjfZCZxsKoIV50986MGc1v0UHwcLu+VvLcu+5ERwaHM6dMPHycnAMobG/kp9Sg78/P4\n8tq5Vvaw+9BmNLLq4HE+355ERmklXs6OXJfYn+sS++Pv5mJV3zojKj1ymb61sdPaMDsintkR8Rys\nLOTj47tZeHwXn6XvZV7EQO7tM4KAyzTuUlBXx30Jif9zzMfJifsSEvnh2BEredW90BsMLE06ysdb\n91NUU0dvf29eum4q0+JjsLXp+bONqqh0koFeQbwzag459VV8mLqT704cYHH2QW6JTuC+2JG4213c\nOoGeSpCLKx8m7WV2n374OLb3VJoa+enYUQJcrPv0tTZGk4nVh9L474adFFbXMTA0gP83awJjYsIv\nqdicOvxRmILGGv5zZDtLc1Jw1tlxb+wIbu09FEcbW2u71iXUtrTwftJeNmZlUtHUBICPoxMTI3tx\n35ChuNtfXiIL5pjJtrRs3lq3g/SSCvoE+vLY1FGMiu6+gX41ptINSasp483DW9lYlIGvvTNPD5jA\nrLA4NN30Q6RiGdKKy3l55Vb2ZRUQ6uXOI1NGMjWut1WCrxeCKirdmP3l+bx0cCOHqooY4h3MPxOm\n09vNx9puWZQTVZVsyDpBaWMDAH5OzkyK7EWUp5eVPes6Glv1vL1+J9/uOoirgx0PTRrJ3MQ4dNqe\nETNRRaWbY5KSn7IP8cqhzTQaWrkndgQP9h19SSaW+mD/Xn5OP87VvWMIcDbHUIob6lmZnsbVvWO4\nP2GYlT20PFtTs/jH8s2U1tUzLzGeR6aMwt2xZ02lq6LSQ6hsaeSlg5tYlnuYaFcf/j18Fn08/Kzt\nlm+M0h4AACAASURBVKJM+PJT1t106++eyHqjkalff86WW++0kmeWp6GllZdXbmVZ0jGi/bz4+7WT\nGBgWaG23LorOiIqao7YL8bJ34o3hM/n0ihuo0Tcxe+NnfHx8N6YeKOxnQiOgrLHxd8fLGxsv6XhS\ncm4Rc97+mhUHUrl3/DB+ePimHisonUXtqViJqtYmntu3ig2F6YzwDef1/9/eeYdHWWWP/3Nn0nvv\nlSQkQAi9dynSu4LYFTura9d11/VnX8vqunYXRQURlSq9Bek9JISWRhLSey/T7u+PCRH5ikHmnUkh\nn+eZZ9o75553ypl7zz1l0LQOkVP0S+Z5XvplJ2Fubs3Ln7zqarIqK3hp1A2MCgtvZQ2VRac38OnO\ng3wWf5gAN2feuHkifcMCW1stk7nulj/9+veTx44ea201TEZKyU/nE3k5YSv2ahs+HT6Xvl5Bra2W\nyRikJLEgn4ImR62foxNxvn6oVR1rYlxZ38CT323gQFo20/t044XpY3Cya//pGnqDASu1+vpa/mTU\n5PHeuRWk1+S2tiomIYTgpi69WT3+Hpysbbg1filrMk+2tlomoxKCIFdXgl2MlyBX1w5nUDKLy1nw\n8fccOZ/Dq3Mm8MbNE9u9QamoqeebjUeY8+xXJslpl9sPTlb27Cg8xsb8g/RwCWd64HBGevfCqp0W\nVIp08WLVuLt5ZP9Knjy0jrSqEp7oObpd+iBOFxfx953bqdY04ufkhAQKaqpxsbHj5TFjifVp/47p\ng2nZPL5sPWq1ii8XzqVfO1/unMks5IdtCWw7dA6NTk/faNNmy+1y+dO/f38Zf2A3WwsOsy5vH3n1\nJXjZuDIzaAST/YfgbO3Q2ipeE1qDnpeObeH7jATGB3bl34NntLtI3CnffcNrN4ynt5//bx5PyM/j\nhfjtbFxwRytppgwrDiXy2rp4unh78OEdMwjycG1tla4JvcHA3hMZLNt8jBMpuTjYWTN5aHfm3NCL\niCCv6zOh0NnagTnBo5kVNJIjZWdZeWEX/8tYz7KsbUz2H8Lc4NF42bavD9xapebV/pOIcvXmtRPb\nuHPXcr4cNR/ndlRWoU6r/T8GBaCPfwD1Wm0raKQcn8Uf4oOt+xkVHc5b8ye1y+WOVqdn477TfLvp\nKNkF5fh7uvD4LaOZNrIHTvbKnE+7NSoXUQkVgzy7M8izO2nVufx0IZ7VObtZl7uXyQGDmRc8Fm+7\n9tPISgjBXV0H4GfvzHNH1pNRVUIvz/YzvR4dFs4961YxO6Z7cwJhfnU1q86eZmRoWOsqZwLrjp/m\ng637md6nG6/OndDufEQarY6f95zi6w2HKSitJibUh9cemsKY/lFYqZU9l3a7/PmjLeX8+hKWZ+9g\na8FhVAgm+g9mfshYfOwsVzlLCSo19bja/DYBr1GvA2jT0bi7Ms+zLSONwpqmMH0nY5j+mLAurazZ\ntVPbqGH5wUTuHtGvXRkUjVbHut3JLNlwmKKyGnpG+rNwxhAGx/5xMuN1t6V8tXEqBfVlLM/expYm\n4zI9cDi3hIzD1ab9FVKq02nYnZ/Bt2lHcbCyZlpILNNDe7S2Wh0eKWWbzST+I/QGA5v2neHzNfsp\nKK2mV1QAC2cMYWCPkKs6n06j0gKFDWV8m7mFbQVHsFPbcHPIWOYEjcJO3T6coGWNdazOPMnhoixm\nh8cR5OjGkwfX8fGwOXRxaT9JesuTk7glNq611fhD1iecASEYEB6Em4MdttZW7cqwSCnZl3ieD3/c\nQ0ZuKd3CfXl4zvCrNiYXaTVH7dW0PW06LhOoBvSA7qKyV/t6U/G18+CpmFu4KXgMX2ZsYMn5jWzI\n2899XaYx2qdPm/7CNOp1rM1KJqOqlEe6DyfO0xj67WZrR42usZW1+3O09T+wh5aswdZaTaNWz4ms\nPDycHJg/KA4PJ4d2YVjO55Xy7rJ4Dp/KJtjXjdcfnsrYAVEW19vsbU+bjssE+kspS67l9Zdjaph+\nUkU6n6StJq0ml95ukSyKmkOo4++1Nmp99hRksPjcIR7rMZI+XoFoDXq25JxjX+F5Xus/uU3GsrTH\n0gdFVTW8tHo7H985E4D9qVkcTDe2xrhzeD+8nR1bWcMrU1uvYfG6gyzfehwHW2vumzmEOTf0wtqE\n0pStmVA4A2P7DZquZ1r49ddEnFsEH/Z7gkej5pJek8cDR9/m8/R11OkaLDH8VaM3GPgxI5Gpwd3p\n4xWIRq/nSPEFEktz6e7mi6Dt/ft/evQwj27egETSy9ePXr5+SCSPbd7AJ0cPtbZ6V0StUpFVUsGO\nU2kADI0KZUy3CKxVao6dzwHa3nstpWTboXPM+9sSlm46ypRh3fnpzbuZP6GvSQbFVEzdQvC9pKVG\nAXClcEkJbBdC6IHPpJSf/8nXX9721ES1QS1UTAscxgjvXizOWM+PF+KJLzzOo13nMsSrxX5mFkEI\nga3aCp00djZZl51MSmUxTta23BTeq3laK6XkSPEFJJJBPqGtqTI/nE7+3dIH9/bpz41Ll7TJeio6\nvQFPJwcenTCUjYnncLS1YXBkCH1CA0grLGXNsdOMj41qU7s+ucWVvPn1dg4lZxEd6sMbj0ylZ2Tb\nyIpu0ai00Pa0GSmlFEJcyZQPl1LmCiF8gG1CiLNSyt1/4vU0GaLPwbj8aUnvq8XNxoknY+YzyX8w\n76X8wIvJixnr049Homa3emSuSgjuixnM4wfWsC4rGX8HVwb7hDAlpDt2VtYYpEQlBGWNddTqGvlX\nYjwLYwYxN7xXK+psLH0Q6PLbjOu2WPpg2f4E0ovKKKmuZeHogQyKCKGyroENiWeprG/gxp5duWlg\nT7aeTKGwsoYA99bPIjcYJKviE/nvD3sQAp66bQxzbujVpgxei0ZFSjnuSs8JIQovdhlsantadAUZ\nuU3XRUKI1cBAjI3ar+r1lqC7axgf93uC5Vnb+S57GwkVqTwRPY9Bnt1bSyUAurp6s3TMrdRoNfja\nO2PTNAPQGwzNXyRPO0fGBEQR7uzJg3t/ItjRrdVmLP8YMYbbVv94xdIHbYVD6Rf4/mASb86byJGM\nHF5es4OFo/rTLzwQB1sblu0/wb6ULLJLKwj0cGkTBqWgtIpXv9zK4VPZDOoRygv3jMfPs/X1uhxT\nlz/rgDuBN5uu115+gBDCEVBJKaubbk8AXr7a11sSa5UVd4RPZIhXD9468x1/P/kF0wKG8UDEdGxb\ncfvZ3dYBd1sHNmSfxsPWgSG+YahVqt/sSBikJMzZg1H+Ea06IxgVFs6O0HvafOmDoqoaYoN86RFo\nvET6evLtvgSm9o5hWp9uDI0MIf5MBsO6hnJjz66trS4An6zcx8m0fJ67cxyzRvdsu7tRUsprvgCe\nwA4gFdiOsZcyQACwsel2FyCx6XIKeKGl17d06devnzQ3jXqt/DR1jRwX/1f57IlPfvNcYX2ZPFme\nbnYdLqe8oU4eLspqvq83GGS1pkFq9Xp5sjRPrs1MlgNWvydPlORYXLf2RnZpuXxuxSZ5OrdQGgwG\nKaWURzMuyIlvfym3nExpZe2kjD+aKk9l5P/msYrqOplTWG6R8YGj8hrtwnUR/GYKh0vPYK2yoo97\nFHppYF9xEt9mbcXb1o2ihjJe6bkQf3svi+hykdWZJ/kh4wT2Vtbk11Xha+9MvU5LkKMrs8PjGOYb\nTmlDLafKC7BWqRniG2ZR/doqZTV1zX4oDycH3t64GwHMGxyHr4szNlZqNiaeI72olL+MH9oqOuaX\nVLHo7Z+ICvYmp6iCGSN7MrhnKMG+7haNlbkus5QtxUDPboBxRnes7By7ik9wT/hkhnjF8r/0nzlU\neoaZQSMsqtNIvy58lXKYKBcvPhk2F1u1FVqDHmuV2hiefeEMH5/eR6yHPwcLM7klsi/3xwyxqI5t\njZyySv7+01bsbazxdXViRt/uPDx2MK+ti2fpvgSGdw1jeNcwUgtKKK7+vzV2LUXahWJG9Yng0fmj\nSErN49CpLNbtTuaBWUOxaictUdvOIreNU9BQxrHys8S5RjDEKxaDNFCqqcJebUwXt+SMz9POkS9H\nziezppwvzh4EjGUTShtqWZ15kh15qSyMHswbA6bw/dg7OF6SQ0VjvcX0a2tU1TfwxHfrmTMglpdm\njSPMy51fzmbgaGvDP2eOxcPJgfgzGdz9v584cj6HJyYOt6h+DZpfS0LU1DeSmJYHQFxUAP27BVPX\noGXLoXMW1ckUOmcqV0lyZQa1ugZu9Dc2H8+oycPDxgV3G+MOh6WdZl52jrw3eAaL9q9iUnAMES5e\npFQWc6AokxuDYpgQFA3AxuwzWAlVq/Z0vmXlCgCWz5nXKuMnZOXRM9ifaX2Ms84R0WH87cct3DSw\nkkB3Vx4YMwiNTkdeeTUeTva42FumR49Ob+D/fbEZrU6Pn6cLi24ewYjeERw+lc22w+cYPzCamDBf\ncooqyC2qoKFRi52ttUV0M4XOmcpVsjpnN33do7FX21KuqeZMVRb1+kainI2l9+SvzmeL4WnnyDej\nFxDh4oXWoOe1E9uI8whoNihJpXkUN9QwM6wnYNwhqtNpLKpjW2BUTBfuGdkPKSUanZ5gD1fcHexR\nCePXP7+iGrVKRZi3u8UMisEg+fjHPdjZWPH07TdQWFbNW9/soEGjo29MEEdOZZNXXIm9rTW+Hs6c\nSMnF1qZ9zAHapVHRS51Fx9MZ9EQ5BxHuaKxotqsogay6AgZ5dsfdxhmDNCCEaJ6tHCw5xb/OLOOt\nM8swNEXDmgvrprq8ZY11hDl5cGfXAQAcL8lhW14KOmlgbEAUq84n8eaJHTyybyX/PbXHrDq1JS4a\n+kB3V4QQ2FipsbGyMmYfIzmemcsbP8dTWlNnUb1UKoFOb6BnZACero68/MAkCsuqOXwqi+5d/PBy\nc+TTVfsA8Pdywc7Gmsoay6SRlJWb5lNqH6bvMgobslmd8zE3+t2Og5Wz2cezUqmJcQnlmcSPiXEJ\nRYVgdtAoerlHAsbqcw16DXuKEyloKCOzNp8aXT1RTkE06DU4WJn/38/dxoHMmjLeStyJBGq1jThZ\n2/J03BgWnzvEiowT/K33OGaH9+SZw+sJdDDuFF1vXNxB8XZ25Nu9CRw9n8OjE4bi42L+Gju7jqWR\nmV/GXVMHotHq8HR1RG8wUFPfiJO9Lbfc2JdvNx5lQPcQ7pgygKf/s47nP1rPkdPZ/OXmEbg5m3cJ\nazBINm5O5PMv4k2S0y6NipOVK8fLdnKm6ghT/O8mzm2E2X0ak/wHM8Ajhpy6Yrq7hKG/ZAaSVJHO\nqpxf6O4SxnjfAewqTqBO18Awr57NBqVGW48QAkczGRgbtZoVN9zJR6f3YpCSeRF96OHux5KUI3yV\ncpiV4+5qblY22j+iVX0s5qaspg6t3oCvq9MVvxc2Vmq+2Xecj+6YwYho8zc4q2vQsHJnIodPZzE4\nNpSYMF8CfFyJP5pKr6hAnAJtGRwbxs+7T7F081Eev2U07zw2g5LKWuxsrPB0NW+WdGZWCe+9v5mT\nyTnE9Qw2SVa7XP64WHvycNTbuFv78MOF91ly/mXKNIVmH9fL1o3e7lE0GrSszt3NuapsAM5WZZFY\nkUa0cwi2amsya/OJdAokssnf8mnaWv6dsoJ7D7/J5nzzZeo6WtvwTK8beL73WHq4+7Gv8DyrMpP4\n/oY7mg1Kg07LybL85mVTR+PVtTt59ofNPL5sPf/Zuo/axl99SHqDodnIDO8axvNTRzMqxjIlLh3s\nbBjVL5LZY3rx/EfrARg/MBone1u2HjxLZl4ZADNH98TGSo2UElsbKwK9Xc1qUDQaHV8u2c39D35J\nVlYJTz85mffeXWCSzHZpVAD87cN5IPJ1pgXcx4W6FP6b8jiHSrdYxFnqbO3ArKCR+Nsb64PcHHID\n/+hxFx+mruTJEx8SYOfFCO9eNOgbWZu7l/O1eTwWNZf3+ixid/EJChvKzK4jQKWmgUlBMQQ7/Vr4\ne0H8UnzsnRjh137rxV6JA2lZnM4t4ot7ZvPOgsmcyinkg637yCmrBIzlDeo1WtIKSxgaFcqtQ/tY\nTLdGjY59iRn8df4o/L1c+Hz1fgAW3TyCmvpGvlhzgLW/nOSdpTvxcXe2yG5iSmoBDz6yhKXL9jNm\ndDeWfHk/kybGmTx2uzUqACqhZrDXJB7t+j7BDl1Zl/sZ32S+RpXW/D9ae7UtLtaO6KUBgzTQ170r\nM4JGIKXkREUqpZoqkirSSavOYUHo+Oa6uOWaahzUltlhSK0s5mylMUczt7aS+Tu/IdDRlX8NnAa0\nvfogpuJoa4ujnQ2V9Q0EuLnw/m3TqNfo+GTnweZj4s9kcDDtgkX1MhiMs47wAE+0ej3v/nUm3246\nypiHPqRRo+POKQO5cUgMyen53DllIDeN621WffR6A98u28cjf/mG6qoGXn/1Jp5/dhpubspk5bdL\nn8rluNl4c1f4ixwq3cyW/G/4IOWvzAx6iFhX80eRqi9uS9aXcqzsHA9HzsLf3hO1UJFcmUGIgy+9\n3IwO3fSaPOLcInC2diC/voTc+hIOlJxiZtAIgh18FNdtUffh3LtnBXfs+g5vO0e6u/nxYt8JQPst\n6PxHhHi4EublTlJ2Pv3Dg3CwseblOeO578tVvL4unr9NH8PkXtFmG7+0shZbaysc7GxQqQQGg0Sl\nEs07PTV1jZxKL2DPiXTcne1RqVR4uxv/bLzdnRjeqwsqlXk/k9raRp59fgWnz+QxZnQ3HvvLBFxc\nlPWvteuZyqWohIohXpN5JOpdPGz8WJ71NmtzPkNrsEwdV397T+7tMoUwR3+CHHwo11RzoOQUE/yM\nW7zna/I5U5VFoL03WoOO91N+JKE8BQcrW/5+8gsSylMV10mtUrFk1C282HcCz/Ua26ENCoCboz1R\nfp78dCSZhKw8ymuNUcT/mHGD2X+sK7YlcPs/l/Lv73bx2ldbAZrHNBgkVmoVnq4OPPH+GlQqFeve\nvQ+Ar9cfbpZhDh1ran+7De3gYENEhC9//9t0/vHCDMUNCnSQmcqleNsFcn/Ea2wvXE5SxV7GGxZg\nrTKG0ufUpVHceIE4t5GohfKOyqBLZhs1unp6uIbjauNESWMFCeUp1OkbmBIwlHfOLsfb1o37IqY3\nHS3QGMzXvS/S5bcJjx3RoFw0lDcPjMPB2po1x05zvriMMC8PNp889xuHrdLkFFWw61gqX724AA8X\nBx588weWbT7GnBvisLOxbjYWYwd0ZdLQ7oT4GftPff63m3F3Nk8hsNy8cv774Tbs7W0YOKALo0ZG\n4+Bg/B08/tiNZhnzIh3OqABYqayZ6H8Ho33mYqd2QGvQsLtoFWk1ibhae7K7aA0LQp/B2858nf+C\n7L05XZXJm2eWUtJYSVfnYOYGjSapIp2E8lS+H/pS87E1ujqLOW87KkKI5sJVbo721DQYZ6irjibj\nYGvNvxdMNdvYdjbWONjZoNHqsLZS8+ztY/nop73EhPrQr1tw8zIoMtgbMM5cJBJvtytveZuCXm9g\n6bL99O4VQq9eIfy08giFhZXMmN4Xd3fzF/DuMMuf38NO7YBB6kmu3EdR4wXmBj/G/NCnCHWMIade\n+eXGpXjYurB44HPEunZhRuBw7o+YToC9F8uztvFw5K/1vc9VZbO/5CSjvM3rnLseUKtUnMkr4t1N\ne3h43GBuHdqHdxdM4eXZ4806rl5vwN3FgdLKOvQGA12bjMlPOxMB47LmyOls9iVmNN9Xq1RmmzHW\nN2hITStgwoSedIsJYO7sATRqdGzbnmyW8S6nQxsVgKKGHLJrU4h1HYanrR91umoa9fW4Whu3g829\nAzI1YCgjvI01Y6t1dQTYexHj8mupx3fOfc+84LG42jiZLaS/pKGWd5Liya2tNIv8toSdtRVv3DyR\n2CA/tHo9YP7lnq+nMz7uTmw7dI7SSmOI+x2TB5CRW8KR08ZYJrVaZbalTl1dI18u2c2RIxmUldXg\n5GhHj+5BbNhwAoDoaH96dA8kL7+C9AzzV2zt8EblfG0yQgh6uhmL7hQ1XsDJ2g3RdOqW9C/Yq23J\nbyjlUOlpsmoL+Th1NV42rswOHgXQnOCmNBqDns/OHmB5+nGzyG9LhHt7EONvXGZcXtHfHOh0RsN1\n/6yhFFfUcPhUNrnFRuPdNyYYV0dj+EDf6CC6d1G+t1RWVglPPvM9ZWW1HDqSwcuvrkWj0TF0SCT5\nBRWkpBagUgnCQr2QEnRaveI6XE6HNyqHS7fS3cVYrqBMU0h27TlUqAhx/O3WYlbtGQ6WbGJD3mI0\nZtoxslZZcV+X6cQXHeer8xvwtHXhmW7G6EVzzpgCHFwYGxDFiowTaPTm/1JdT1wsnLRiWwK19Rry\niit565sdPP3BWpJS8/ByN09OkV5vnNWWltXg5eXEU09MYtHD43BwtGH12mP4+LgQHOTJpk1JAAQF\neVBRUUt+QYVZ9LkUk4yKEMJDCLFNCJHadO3+O8dECyFOXHKpEkL8tem5l4QQuZc8N9kUfS5HL3WE\nOMZgozJumx0vi6dKW0as21DUwuijrtfVcKBkIzsKV2CrtkMvDXyS+gyZtaeVVKWZSOdA/t3nLzwR\nPY95IWNxt3G2yBbvvC69KWusY1d+mlnHud6QUrJ8y3ESzuXwz/tu5L6ZQ7h5XG9G9olg2Su34+Gi\n/JLnhx8PsTPe+P20sbbC08OJgkLj7Oi+e0eTkJBFQ72WkSOjKS2r4d33NrFtezL5+RV4eZk/AdfU\nmcpzwA4pZRTGAtbPXX6AlPKclLK3lLI30A+oA1Zfcsh7F5+XUm40UZ/foBZWRDrF8V3WW3yV8TIV\n2mIGeI4j2OHX6ugnK/dT3JhLL7cR9HEfw/TA+5gccBeu1uatO+ts9euXzRJLsBF+EXjZObIqM8ns\nY11PCCGYMrw7by6a1hxeP6xXF6aNUL4hXV5+BYse+5bTZ/LoFmNsHObkbEdFRR0lJdXo9QbCw7yJ\n7urHytVHCQxw56knJhEY6MHBQ+k89OBYYnsEKa7X5Zi6pTwDGN10+2tgF/BHvZDHAulSyiwTx71q\neroNI9qlPyWNufjbhVOp/bWdc1FDDmnVJ6jT11ClLSWl+jgzAh8kytmYE1KrqyK79iylmgKGe0+/\n0hDXhBCC5MoMujmHorZAcp+VSsWM0Fi+ST1CWWMdHrat2yitI+HS5De5uHVsLjIziwkP8+LJxyc1\njxcW6kVkhC/bd5zCy9MJPz83FtwyhEcfX0pBYSV+vq7Mv9myXSFNnalcddvSJuYDyy977C9CiCQh\nxJe/t3xSAhuVLQH2XdDKRk5VHiSt2ugVb9DX4mrjyY3+t3Nb2HPYqR3JrU8HoKyxgOVZ75BSk8D5\n2lMsyXiZWl2VYjql1+TyeMJ/+TZri2IyW2JOWBxag4Gfs05ZbMzWoKiqhqeWbyCjyLKxP+aO2q2u\nbqBLuA96vYH33t/MF4t3sXlLErcuGIJGo2PDpiSyL5Ry5mweAf7ueHmav0bM79GiURFCbBdCJP/O\nZcalxzX1Crmit1EIYQNMB3685OFPMPYF6g3kA+/+wevvF0IcFUIcLS4ubknt38VGZccw72kEOxid\ntJXaUjSGRoIdogCo0JRQp6umSlvG8fJ4fOyCmRH4ALeHPY9OaqlWMFExwimQCX4DWZ61ndOVmYrJ\n/SOi3Xzo5ubD+mzz+IvaCltOprApKQVLbew1anSk55S0fKCJ6HQG9uw9x5q1x7Czt6F/v3B+WnmE\ndesTeHTRBJydbHn/gy3898PtjBoZ3WrV91s0KlLKcVLK2N+5rKWpbSnAVbQtnQQcl1I2Fz6RUhZK\nKfVSSgPwBcZ2qFfS43MpZX8pZX9vb++rPb/fxVZtdNw6qJ0obSyguCGH/SUbcLH2wM3Gm6zaM1Rp\nyxjqNQWA3Lp07NVOuNr8Om5OnenBcw9HzsLT1pV3zi6nUW+Z2rGTgrtxvDSHvDrlZl1tjS0nU+nq\n50W4t4dFxvts1T7ueGkZ+SXKvKdlZTXNuzt6vaF5Z3DK5F7U1DSwe8857r5zBP36hvHM01NYs9YY\nKnDzTYN48q+T+OKzexg9qpsiulwLpi5/LrYthZbblt7CZUufiwapiVmAZUL+mohwjqO/x1jW5X1B\nTl0KfdxHE+zQlYzaZAIdIvCyDUBn0FLSmIeztTu2KnsSynexPncx63I/Z3H6i5Q05l3z+I5WdjwV\nPZ8L9UV8dV5RH/UVmRxs/LJtuXDWIuNZmoLKahKy8pgYZ5lWpYmpuSzbcoypw7vj72VaX+PjxzO5\n9fZP+OiTHbzy2lr0egNqtTHy9qKRWfTIeHLzyiktNbaUbWjQ0rdPKLa2RvdoYKC72ZdhLWGqUXkT\nGC+ESAXGNd1HCBEghGj+lTT1UB4PrLrs9W8JIU4KIZKAMcDjJurzp+ntPop7wl9iZtBDdHGKpbQx\nn9SqBAZ4GDN68+ozyKo7S4RTHOWaInYUfE+MS38ejnobX7tQzlaZ1imxr0c00wKGsSpnt0WWQeHO\nnnRz82HjhTNmH6s12JZsnEHeGGt+o9Ko0fHq4q34ebjw6LxRpslq1LJm3XEefmgc/3jB6Fn4+NMd\n1NcbZ7BqtQqDQRLXM5jpU/uwZt0x3nxrPf/5YCtRkb5tKknUJKMipSyVUo6VUkY1LZPKmh7Pk1JO\nvuS4Wimlp5Sy8rLX3y6l7CmljJNSTr/E6fuH6Aw1igaLCSGwURk9+PZqR3ztQ6nTV5Fbl05SxR7s\n1Y70cB3MTxf+w0DPCUQ6G8PugxwiaTTUm6zLwi5T8bJ15b2UH9AZzB+cdnEJVNABl0Bbk41LnzBv\ns/j8f8PXGw6TVVDO83ePw9HexiRZVlZq7Oysm2ccT/x1Irm55Rw6bMwXkvLXnaXbbh3GbQuG0isu\nhH+/cwsTb1S2gPm5JNOKWLXLiNp6XSZnSp7DIJX3QzhZuxHm2I3P015gc/7XeNkGMtZ3HkkVe9Ea\nNIz0md18bGLFHmxV9ib/SzhY2fFI5Gwya/NZl7vX1FNokfGBRkf1zryOFQhXXlvPiax8xnaPRh0t\nOQAADqZJREFUMPtYOUUVfLPhCBMGRTM4NsxkeRqNDmdnO+rqNGg0Olxc7Bl7Q3c2b0lCp9MjhKC2\ntpETiVmoVAJXVwcmTYzD1VXZ0ID4dQk8fcsnJslol0bFRu1DQe0aEgruRKMvVVz+CO+ZPBz1NrOD\nFzHYaxISSK9JYqTPrOZjkir2UtyQo1j8ylCvWAZ4dOPrzE2UNpo38S/KxYtgRzd25pk3U9vS7Dl3\nHoOUjO5m3vq7UkreXRqPlZWKx+abtuy5KM/e3obwMG/27kuhpMlfMn5cLNXVDcTvMi5Vz58vJi3d\nPAmBBoOBr/+9mbeeXE50r+uwmr6t2odY7/ep1pzmaN5N1GiUdzraqR1wtzEWXVILNa7WXhikcWlS\nqSlha8EypgYuBFAku1gIwSORs9AadHyR/rPJ8loaa0xAJPuLMqnXma84lKXZdTYDL2cHuge0FC5l\nGntOZLAv6Tz3zRjSXA7SFAwG4/J56hRj+YujR8+TmWXcoh40sAv2TUur2Ngg5s4eYPJ4l9NQp+H1\nvyzl+092cuNNA3h9yX0myWuXRgXAx3ESff2WYUDLsfxbKK3bbdbxnK3c2Vn4A6sufMT2wu/p6TqU\nGJf+xrWuQtnFgQ7e3BxyAzuKjpFUka6IzCsxNiCKRr2OfYXnzTqOpdDo9OxLyWJUjHnrvDZotLy7\nLJ7wAE/mjVemGr9abfz+bN6SRFFRFeUVtXz2eTwffLiV9RsTCQhwa0HCtVNWXM3TCz7hwPZT3P+3\nqTz22lysTWyv2m6NCoCLbSwD/H/C3jqUpKKHKKhZZ7axBniO59awZ/G2C2SM702M8zOtN8qVmB8y\nDm9bNz5JW23WlqkDvUNxsLJmT0GG2cawJEkX8qlp1DDSzI3Bvt+aQH5JFU/dNkbR4LKNmxLZdyCV\nxx+7kTtuG8bUKb3x8nTmf5/dQ5dw5YuiA+RllfLkvI+4kFHEPz+9i1l3j1RkF6ndl5O0tfKlr9+3\nJBU9zOmSp9Hqywh2vcssY/naheBrFwL8WqpA6a08O7UNC7tM5Y0zS9lReIzxfspPd8HY0XCQd2iH\nMSr7UrNQqwSDIkzzB/wRZVV1fL3+MCP7RDCge4iisseM7sbkSb2a7w8bGsWwoVGKjnEpaadyeXHh\nYnQ6A29+8wAxvZU7n3Y9U7mIlcqZXj7/w9thAqnlb5Be/q5Z65NUa8v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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "curves = plt.contour(x, y, z, np.linspace(-1, 1, 11))\n", "plt.clabel(curves)\n", "plt.axes().set_aspect(1)\n", "plt.title(r'$z=xy$', fontsize=20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А здесь высота даётся цветом, как на физических географических картах. `colorbar` показывает соответствие цветов и значений $z$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.contourf(x, y, z, np.linspace(-1, 1, 11))\n", "plt.colorbar()\n", "plt.axes().set_aspect(1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Images (пиксельные картинки)\n", "\n", "Картинка задаётся массивом `z`: `z[i,j]` - это цвет пикселя `i,j`, массив из 3 элементов (`rgb`, числа от 0 до 1)." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 256\n", "u = np.linspace(0, 1, n)\n", "x, y = np.meshgrid(u, u)\n", "z = np.zeros((n, n, 3))\n", "z[:, :, 0] = x\n", "z[:, :, 2] = y\n", "\n", "plt.figure()\n", "plt.imshow(z)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно загрузить картинку из файла.\n", "Это будет обычный `numpy.array`.\n", "Размерность картинки $280 x 280$.\n", "По последней координате цвета RGB и прозрачность." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (280, 280, 4)\n" ] }, { "data": { "image/png": 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fft7m1HnGWRlXI3nkPJ11k6UKBf/JOenDhOWUL/nc8tQZa+30rB+XlZyKuSXrJksVCsVi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\nKBREJEGhICIJCgURSVAoiEjC/wPLlqj/zpvGOAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "picture = plt.imread('python.png')\n", "print(type(picture), picture.shape)\n", "\n", "plt.imshow(picture)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Трёхмерная линия\n", "\n", "Задаётся параметрически: $x=x(t)$, $y=y(t)$, $z=z(t)$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 4 * np.pi, 100)\n", "x = np.cos(t)\n", "y = np.sin(t)\n", "z = t / (4 * np.pi)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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B6X75ysoK5ubmciaOCJ/pdDpdcDwXgIJiubCwgCeeeALf/OY3a/ONbhOIKDY4pcQwEAjA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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot(x, y, z)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "К сожалению, inline трёхмерную картинку нельзя вертеть мышкой (это можно делать с трёхмерными картинками в отдельных окнах). Но можно задать, с какой стороны мы смотрим." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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WpRSjQwDwrKbx4+thvHQ9jG+f8+PJk17QCgoHBy24a7wD79jbiUGbvqZ9b1cq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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.elev, ax.azim = 30, 30\n", "ax.plot(x, y, z)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Поверхности\n", "\n", "Все поверхности параметрические: $x=x(u,v)$, $y=y(u,v)$, $z=z(u,v)$. Если мы хотим построить явную поверхность $z=z(x,y)$, то удобно создать массивы $x=u$ и $y=v$ функцией `meshgrid`." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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UPrd4PI7R0VFIkoRTp06ho6MDsiyDEIKOjg7s3r3b3E5RFLONwNpzRy8eq6ur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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = 10\n", "N = 50\n", "u = np.linspace(-X, X, N)\n", "x, y = np.meshgrid(u, u)\n", "r = np.sqrt(x ** 2 + y ** 2)\n", "z = np.sin(r) / r\n", "\n", "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot_surface(x, y, z, rstride=1, cstride=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Есть много встроенных способов раскраски поверхностей. Так, в методе `gnuplot` цвет зависит от высоты $z$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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70zS9NAJ/zp07eaysrLRUTBvAWnkPcyZLdD2DYVPkaY1LSNi92MkM2gnfOUbB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d9+7dy7vvvktBQQFTp05lyZIlzJ8/n0WLFkm2feeDnTt3sn37dg4cOODRtXkqmpMZN2ShzWTC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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot_surface(x, y, z, rstride=1, cstride=1, cmap='gnuplot')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Построим бублик - параметрическую поверхность с параметрами $\\vartheta$, $\\varphi$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ml5eXOXHiBF/+8pfZuXNnDykeO3Zsqyi57FP8QUe3cGZjYwNjDJdddtmW6xYd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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 2 * np.pi, 50)\n", "th, ph = np.meshgrid(t, t)\n", "r = 0.2\n", "x, y, z = (1 + r * np.cos(ph)) * np.cos(th), (1 + r * np.cos(ph)) * np.sin(th), r * np.sin(ph)\n", "\n", "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.elev = 60\n", "ax.set_aspect(0.3)\n", "ax.plot_surface(x, y, z, rstride=2, cstride=1)\n", "plt.show()" ] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }