{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MLCwscPZwIi4inoSoRCklj5C7k6utvQ1Obo9e+fRSJ/+cUrL6MP0mvVFQ8R7r6NaTZKRl4lnSnbI1Sj/y4/J2dQ2TkZLHSYjOLSWGNefL2d2Jdu+1pN17LYm/MzF2x+K9hOw7z/EdIRzfEcKsQQsI7ORPyz5NqNuqhqqjtOL5SCkRD5WZkcX+1YfZ9NsOjmw6jk6nAGBta02DDnVo2bsxddvUNIrHIUU8c0pJ7kiAeNC9j24etwrKv01NrKwtCTt3g/ALN/GuULygIj5S0Mq7j24el/3uXiVSSh4n9+vE0ErJvVw8nek0sA2dBrYh8loU2//ey7a/dhN69gY7lwSxc0kQrkWL0LJPE1q/04ySlUqoHVk8JSkl4j7XQsLYsGAbWxftvm/lTJWXKvJynyY06RFI4SLGNTzqXsKVKyeu540GiAc9bo+Sezk4O1C9aRWObjnJvpXB9PysU0HEeyStVsvBdTmbcQV2fvR8EpBdXZ9W7teJewlXlZM8naKlPen1RVdeH9mFi0evsOWPXez4Zy9xkQksnbqKpVNX4RdYkbZ9W9CkRwD2DnZqRxaPIaVEkJGWwa6l+1k3fytngs7nvd29RM7mR63eboZ3ecM/sv5RPGXY/onu7lHy5D0hAjv63yklB+k4sLW+oz1WVGgMdg62FM5yoFqjyo/92NwJvPG3EsnMyDKKUb6CpigK0eFxwKMnPBsqjUZDhTplqVCnLO9P7cPBdUfZ9OsODm04xpmg85wJOs/cT36lRe9GvPLBy4991CfUI6XEjIVfjGDt3E1s/n1n3uoZC0sLAjrWpW3fFtRtXcMg54k8K5lL8GS5p+c+aaQEcpYGzx78C2cPXKSjYx99R3uizdqlxNyIu++8nodxdnfC1t6GjLRMYsJjZc+Lh0iISiQrIwuNRmM0IyUPY21jTcMu9WnYpT6xEfFs/m0nGxdu4+blW6z5aTNrftqMX0AF2vdvRZMegVJQDYiUEjOj0+k4tP4Yq+Zs4PCmE3lv9yrlQbv3WtL6nWYmt7FUUV9PACKvRKmcxHDlnp77NKXE08edWQe+ZXCDL/Qd66loNJqnmsCs0Wjw8HEj/EIEUaExUkoeIuLKLQDcvV1N5iwat2IuvD6yCz0/78TxHSGsm7eFfSsOcWb/Bc7sv8DPw36nbb+WdPiwleweawCklJiJ28lpbPp1Bytnb+DmpUgg55u0f9uadPywNXXb1DSJUZGHKVEu58Xnxp3PWzzoSXuU/L9K9cqzOvlPfUbSC8+S7oRfiJBlwY+Q+zWS+zVjSiwsLKjdohq1W1QjLjKeDQu2s27eFqLDY1k8aQVLp66iYdf6dPmoHVUCK8qxFyqRUmLiokKjWTFzA+sXbOV2UhqQs3dHm3eb03FAa7PYFbH4nW+wcRHx3E5Oo5CjvcqJDIuiKE890fVexjhhMHfOjEx2fbgbFyMATH4UybWoC72/7MZrIzoTtPowq2Zv4MTOkLzzdyrVK0e3Ie1p1K2BLCsuYFJKTNSl41dZ9t1qdi4JQqfVATlHhXf5qB0t32xilC8oz8vRpTBFPJ1JiEok7NwNKvqXUzuSQUlNvE1aSjpwd/6NqZJlwY8Xeu4GACUre6ucpGBYWlnSqGt9GnWtz5WT11kxcz3b/trDuUOXmPD6DLxKedD1k1do27c59oXlh5mCIKXEhCiKwsndZ1g8acV980VqNq9K96Ed8G9T02B2Wi1oJSuXICEqketnwqWU/J/cUQMnN0fsChXs2UQFLffxlEx6frjrITmbI5asbH77epSpXophCz7k3W97sXbuZlb/uJFb16OZO+Q3Fo1fTudBbek8uO1jNxcUL05KiQlQFIVDG47x97f/5S3ptbDQ0LhHID2Gd6R87TIqJ1Sfb9WSnNx1hisnr6sdxeA8z6MbYyV7lTxaZnom4RdyHt/4Viupchr1uHg60+erV+nxWUc2/76L5d+v5ublW/w5bhnLvl9N+w9a0X1YB5NbEGAo9Ppj88SJE/H398fR0RFPT086d+7M+fPnn/wbxVNRFIWgVcEMrDeCL9tP5EzQeaxtrWn/wcv8dmEWo/7+RArJHWXu7EkgpeRBuY8yjG1fiueR+3hKJro+6FpIGDqtDic3R9yKG+9y4Pxia29Lh/6tWHjuB75cPIRytXxJT81g+bQ19CkzkNmDfyHmhvw7ym96HSnZtWsXAwcOxN/fn+zsbEaNGkWrVq04c+YMDg7GtSuoIVEUhQNrj/DH10u5dOwqAHaFbGnfXxr8o1Sok1POLh65gqIoMrP+HnkjJSY+nwTujpTcTk4jJSHV6HYn1qeLR64AUK5Wafn6uIelpSVNegTS+NUAgjce568J/3Im6Dyr5mxk/fyttHuvJa+N7IK7FLl8oddSsnHjxvv+/6+//oqnpydHjhyhcePGD3x8RkYGGRkZef8/KSlJn/GMjqIoHN16kt9GL+bcoUsA2Be2o9PANnQb2p4iHoZ7VoXaSlXxxtrWmpSEVG5cijTqHWrzW+4eJaY+yRVyyruTmyNJsclEhcZIKblH7veUCnXKqpzEMGk0Guq1rYV/m5oc236aReOWcWrPWVbN2ciGX7bRcUAbXhvRGWd39U9XNmYFOusxMTHnoCdX14c3yokTJ+Ls7Jz3y8fHpyDjGbSzBy/yWcuxjGj9DecOXcKukC09Pu3En1fm0HdibykkT2BtY025WqUBOHvggrphDIw5zSmBu4+pZAXO/c4dughApfrlVU5i2DQaDbVbVOP7nWOZvGUMfoEVyUzPynus8+fYZdxOTlM7ptEqsFKiKApDhw6lYcOGVK1a9aEfM3LkSBITE/N+hYWFFVQ8gxV+MYJxPb7no4AvOL4jBGsbK7p81I4/Ls/mvclvSCt/Bn4BFQEI2Sfzmu71rBunGTuZ7PqglIRUroeEA+AXUEHlNMYht5zM2DOeCeu+oHxtX9JS0vlj7FLeKjeIVXM2kp2VrXZMo1Ngq28GDRrEyZMn2bt37yM/xtbWFltb016S+LQSY5JYNG45a37ajDZbi0aj4eW3mvDW1z3wLOmhdjyjVLVhJf6dvpbTe8+qHcVgaLVaYm7kHMBmLiMldw9olEmKuU7vPYeiKJQoXwwXryJqxzEquY916rauwZ7lB1j45T/cvBTJ7MG/sGLmet6b/AaBnfxlns5TKpBSMnjwYFavXs3u3bvx9jaPTXmeV1ZmFqvnbGLR+OWkJOQcklevXS36TXoD36rmu0wvP1Rv7AfA9TPhxN9KkG++QHxkAtpsLRaWFmYzQVo2UHvQ8R2ngbtfI+LZWVhY0KRHIC91qcf6+dv4c+xSblyM4OuuU6nRtAr9p71FuZq+asc0eHp9fKMoCoMGDeK///5j+/bt+PrKX8jjBG88xgc1hvPTsN9JSUilTI1STN4yhglrv5BCkg+c3BwpW7M0AMe2nVI3jIHIHS1wK+5iNttp550aLY9v8hzbnvP1UKtFNZWTGD8rays6DmjNbxdn8frILtjYWXNiZwgD6nzOjP7zSIyRBRyPo9dSMnDgQBYtWsTff/+No6MjkZGRREZGkpYmk4DuFXH1Fl91mcIX7b4l7PxNing6M2Ref348PJna8k0iX9VpWR2Aw5tPPOEjzUO0mU1yBZno+v/iIuO5ciJn/55aLR4+3088OwenQrw7oRcLz/5A056BKIrCunlbeKfiR6yZuwmtVqt2RIOk11Iyd+5cEhMTadq0KcWKFcv7tWTJEn3e1mhkZmTx97f/0a/KEIJWBWNpZUm3Ie357fwPtOvXwmRP7VVT3TY1AQjeeBydTqdyGvXljpSYw3LgXHmPb8Lj5IUBOLT+GAAV6paVVXx64FXKg1H/DGHarnGUqVGK5PhUZg5cwOAGX3D+8GW14xkcvc4pURRFn5c3aqf2nGX6Bz8TducArJrNqjBoVl9K+ckyaH2q2rAShZzsSYhK5NyhS/g1MO+VBlGh0YB5bJyWy62YCxaWFmiztcTfSjT7Ta8OrD0MQINX6qicxLRVa1SZH4Mns+anzfw2ejEXj1xhcP2RdBzQmncmvI6DUyG1IxoE8zydTUUpCanM+OBnhjYZQ9i5GxTxdGbEnx8xZetXUkgKgLWNNfXa1gJg34pDKqdRX+4jDHN6fGNpZYlb8ZxJveY+ryQtNT3v8M6ATnVVTmP6LK0s6TyoLb+e+4EWvRuhKAqr5mzkvapD2b/msNrxDIKUkgJ0YO0R+lUdwrr5WwFo168FC8/OoEXvRrJcrAA17NoAgD3/HjD70Txz2zgt190VOOa9LDh4wzEy0jIp6utJ2TvnQwn9c/Eqwog/P2Ly5tEUL+tFdHgsYzpN5tveM8x+IqyUkgKQHJ/ClLdnM7rjJGJvxlOifDG+2/E1Q+b1x9GlsNrxzE69drWwK2RLxJVbnA++pHYcVUXnzSkxj43TcskKnBw7Fu8DoHH3APnBSAW1W1bn5xPf02N4RywsNOz4Zx/9qgxh74qDakdTjZQSPTu8+QTvVx/Glj92YWGh4dVhHfj5+FRqNKmidjSzZe9glzdUvW3RHpXTqCczPZOE6JyfysxupCSvlESrnEQ9yfEpHFx7BIDmvRqqnMZ82RWy5b0pfZi5/1tKV/EhITqJsd2+Y9KbM/P2qjInUkr0JCMtgzkfLWRkm2+IuRFHifLFmL5nPO9PfRNbe9m1Vm0t32gCwPZ/9pKZkaVyGnXkrryxK2RrdiN2soEa7PhnH1mZ2fhWKymPbgxARf9yzDk8mddGdMHCQsO2RXt4v8YwTuwMUTtagZJSogdXT4cyqP5IVs7eAEDHAa356djUvLNXhPrqtKqOW3EXkmKTCVppnhNe8868KeludkP3uY+rzHWreUVR2PDLNgBav91M5TQil42tNX2/7cX0PeMpXq4o0WGxfNpiLL+M/MtsztGRUpKPFEVhzU+bGVRvBNdOh+Hi5cyEdV8weHY/7ArJ6IghsbS0pM27zQFY+/MWldOow1wnuYJMdD0ffIlLx65ibWvNy282UTuO+D9+ARX56egU2rzbHEVRWDx5JUMajyHyWpTa0fROSkk+uZ2cxre9ZjBzwHwy07Pwb1uLn098n7f8VBiedu+1xMLSghM7Q7h66rracQpc7qMLD2/zmuQKd+eUJEQlkpmeqXKagpc7itukRwBObo4qpxEPY1/YnmELPmT00qE4OBfi3MGLfFj7M4JWBasdTa+klOSDayFhDKo3gp1LgrC0suT9KX34Zs0IXDxld0RD5unjTsOu9QFYPn2tymkKnjmPlDi6Fs4bvTS3RzjR4bHsWhIEQOfB7VROI56kcfcAfjo2lUr1y5OSkMpXXaYw/7M/0Wab5m7EUkpe0K6lQQxuMJKw8zfx8Hbj+51jeXV4Ryws5I/WGHQb0h6A7X/tITrc/F6cwLy2mM+l0WjM9gycf6evJTtLS7XGlalYt6zaccRTKFrak2m7xtLtk1cAWPrdaka0Hk9CdKLKyfKfvHI+J61Wyy8j/+Kb16aTnppBrRbV+PHIZKoEymRWY+LXoALVm/iRnaVl6ZRVascpUOY8UgI5E3zBvPYqSYhOZN28nDlUPT/rrHIa8SysbazpP+1tRi8din1hO47vCGGg/wguHbuqdrR8JaXkOaQm3ebrLlNZPHklAD2Gd2TihlFymJWR6v1ldwDWzd9qNqMliqKY5Rbz98qdV2JOk12XTV1NemoG5euUkfluRqpx9wBmHfiWEuWLERUawycNv2T38v1qx8o3UkqeUVRoNEMajebA2iPY2FkzctFHvDelD5ZWcqKvsarVvCrVGlcmKyOLP8cuUztOgUiOTyE9NQMAD2/zPJDO08xGSqLDY/MmuL71dQ+zWwZuSkr5+TD74ETqtq5BRlom43tM468J/5rEsRlSSp7BxaNXGNzgC66eCsW1aBGm7RpH816N1I4lXpBGo6Hvt70B2PTrdq6eDlU5kf7lvhA7uzua7WZ+eVvNm8mckl9H/0NmehZVG1aiXrvaascRL6hwEQe+WTuSLh/lTFb+bfRipvWba/T7mUgpeUrBm44ztMkY4iIT8K1WklkHJ1LRv5zasUQ+qRJYkUbd6qPTKfz4ya8m8RPH4+Q+sjDXRzdgXru6nj14kS2/7wLg/alvyiiJibC0tGTAjHcYPLvkKKFMAAAgAElEQVQfFhYaNv66g9EdJ5GWkqZ2tOcmpeQpbP97D6M7TCI9NYPaLasxffe4vOfRwnS8N6UP1rbWHN9+Ou+gMlNl7pNcATxzd3UNjTHpEqrN1jJr0AIAXn6zCZXrl1c5kchvHQe0ZuzKz7ErZMvhTScY3nys0Z42LKXkCVbN2cjEN2aizdbSvFdDvlk7EgdnB7VjCT0o5utFry+6AjB3yG8kxSarnEh/8raYN+NynbskOD01g+T4FJXT6M+Kmeu5eOQKDs6FeG/yG2rHEXrSoH0dpm7/Cic3Ry4cvsyQxmOMcuK+lJLHWDJlFbMH/wJA50Ft+fyPwVjbWKucSuhTj886UcrPm4SoRGbd+bs3RbnzKMx5xM/W3hZn95zdTE11BU7Y+Rv8+uU/ALw/pQ8uXkVUTiT0qVK98kzfMx4PbzfCzt1gaJMxRFy9pXasZyKl5BH+mvAvC0YsAqD3qG4M+OEd2RDNDNjYWvPprwOxsLRg5+J9bP97j9qR9MLclwPnMuUVOFmZWUzqM4vM9CzqtKpB234t1I4kCkDJSiVyDvQr60Xk1SiGNf2Km5cj1Y711ORV9iH+mvAvv41eDMA737zO2+Nfk4lhZqSifzl6j+oGwA8fzif8YoTKifLfvScEmzNTLiW/jPiLC4cv4+jiwPBfPpTvYWbEq5QH3+8ah0+lEkSHxTK82ddEXDGOERMpJf9n2Xer8wpJ32975c0xEOal95fdqNaoMreT0xjbbapRz2b/f9psLbE34wEZKfHwNs0VOLuWBvHvjHUADF84EPcS5nfoorlzL+7Kd9u/yikm4bF82mIsUaHRasd6Iikl91j78xbmffYnAG+Pe43XRnRROZFQi6WVJaMWD8G1aBGunQ5j8puz0GpN4wCsuMgEdFodllaWuHiZ9y7EeSMlJlRKLhy5zNR35gDQ49NOBHbyVzmRUItrURembvuKEuWLcet6NJ+3Gk98lGGflyOl5I5dy/Yzc8B8AF4b0YXeX3ZTOZFQm1sxF776dzjWNlbsWxnMT0N/N4mlo7mPKtxLuGJpad47EXvcsyzYFERcvcXoDpPISMukbusavPvt62pHEipzK+bClK1j8CrlQfiFCL5oO4HUpNtqx3okKSXAiV0hTO4zE0VRaP/By7w7Qb6QRQ6/gIp8+tsgAFbO2sCi8ctVTvTiZI+Su+5uoGb8q29iI+IZ0Wp83gaPXy4ZavalU+Tw9HFn0ubRFPFw4tKxq4zt9h1ZmVlqx3oosy8loedu8HWXqWRlZtOwa30Gze4rE8LEfZq99hIfTn8bgD++XspfE/5VN9ALkpU3d+Xu0xJzI86oH8/F3Izj0+Zfc/PyLYr6evLthlE4OBVSO5YwIN7lizFh/RfYOdhybNsppn/ws0GO/Jp1KUmMSeLL9hNJSUjFL6ACI/4cLD9ZiIfq+vErvDuhF5BzxsT8zxcZ5Bf005CN0+5yLVYESytLdFodcREJasd5LjcvRzK08RjCzt/Ew8eNKVvH4F7cPA9ZFI9XoU5ZRi8dhoWlBVt+38U/E1eoHekBZltKsrOyGd9jGhFXcn6yGLvyM7M9mEw8nddHduH9KX0AWDp1FRPf+IHM9EyVUz279v1bMfKvj2nyaoDaUVRnaWmJe4mcF3BjnFcSEnSejwNHEXHlFsXKeDFt1ziK+XqpHUsYsHptazFo5rsA/PrlPwStClY50f3MtpT8PPwPTuwMwb6wHeNXj6CIh3mvQhBP59XhHRm+cACWVpbs+GcfQxqP4dZ1w19md69Sft40f70h5Wr5qh3FIBjjwXyKorDmp80Mb/YVCdFJlK/ty4y94yla2lPtaMIIdPiwNR0HtAZg8puzuH42XOVEd5llKdn+z15WztoAwIg/P6J0FR+VEwlj0vrtZkzcOApH18JcOHyZ/rU+Zdey/WrHeioxN2LZ+udutWMYlNwVOCd3n0Gn06mc5smS4pKZ8Pp0Zg6YT3aWloZd6/P9rnG4FnVRO5owIh9Of5vqTfy4nZzGuO7fGcxeTGZXSsLO32D6+z8BOcPxsoZfPI9azasx98gUKtUrR0pCKt/0nMY3r00jNiJe7WgPFXMjljkfL+TNcoP57t05XD8TpnYkg9FpUFsGznyHtT9t4YMaw9m1NMggJ70qisKe/w7yXrVh7Fq6H0srS96b/AZjlg3D3sFO7XjCyFhZW/Hl4iG4FXch9OwNfhgw3yDmyZlVKcnMyGLC6zNIT82gRtMqvDWup9qRhBHzKuXB9D3j6fVFVywsLdi1dD/vVvqYJVNWGcxckysnr/Pduz/Sp8xAVs7aQFZGFn6BFdFmG/6IQEHxa1AB16IuFHKy51pIGN+8Np2+fkNYM3cTaanpascD4Oqp64xsO4Fx3b8jLiIen4rFmbF3PD0+7SSrBcVzc/EqwpeLh2BhacG2RXvY8scutSOhUQyhGj1CUlISzs7OJCYm4uTk9MLXm/fpHyz7fg3O7o78dPw7maEu8s3Fo1f44cN5nA++DORsTNbzs860frdZgf8Um347g73/HWT9gq2c2n027+3VGlem96hu1G5ZXV7IHiIlIZUVP6xnxcx1JMenAuDgXIiX+zShTd/mlK1RusAzXT5xjcWTV7JrSRCKomBtY8WrwzvS+8tu2NjZFHgeYZpyz3uzL2zHz8e/o1iZF58s/byv32ZTSk7uPsPwZl+jKApjV35GYEd5bCPyl06nY8sfu/j9qyV5m3EVLuJAq7ea0vqdZpSpXkpv985Iy+Do1lPs+fcA+1Yc4nZyzvNhC0sLXupSj+5D2uMXUFFv9zclaSlpbFy4g5Wz1nPz8t1DzMpUL0WTHoE06lYfn4ol9Hb/9NsZBK0KZv38rZzYGZL39savBtD3214UL1tUb/cW5kmr1fJp87Gc2nOWqg0r8d2Or194ewwpJY+RfjuDD2oM4+blW7R5pxnDfhmQjymFuF9mRhabft3B8u9X3/eiVrJyCQI7+lO3dU0qNyj/Qj/pZmVmceXEdU7tOcux7ac4sSOEjLS7j4yK+nrS6q2mtO3bXA5je046nY4jW06yYcFW9q8+THbW3Xkmxct6UadVTWo0rUKVwAov/GccFRbDsW2nOLThGIfWHyU9NQPIKZWNuzeg5+edKVdTVksJ/Ym4eosPagwnLSWdD6e/TdePX3mh60kpeYzcxzYe3m7MPz1NdjoUBUKr1XJ40wk2/LKNQ+uOkpWZnfc+K2tLfKuXomz1UpSoUByvUh64Fi2CQ5FC2NrboLGwQJutJT01g+S4FOIjE4gKjeHGpQiuhYRx7XQYWRn3bxPt4ePGS53q0aRnIFUCK8ojmnyUFJfM3v8Oseff/Rzffvq+ggLgWsyFMtVLUrKSN8XKeOFWwpUiHk44OBfCxs4aNBq0WdncTk4nKTaZ2Btx3LwcyfWz4Vw+do3o8Pu3uS9a2oOWfZrQtl8LPGWTO1FA1vy0mZkD5mNXyJb5p6e90BJzKSWPcPnENQbU/RydVsc3a0ZQ/5U6+ZxSiCdLSUjl4LqjHNpwlOPbTxMX+eK7hzq6OFA5oAI1m1alTqsa+FYrKUWkANxOTuPYtlMc23aKU3vPcu1UKDrdi30btbC0oEKdMtR5uQYNOtShon85+bsUBU6n0zG8+dec2n2WBu3rMH71iOe+lpSSh1AUhaFNxnB67zkadavPmGXD9ZBSiGejKAqR16K4cPgK10PCuHk5kqiwGBKikkhNSCUjLRNFp2BpZYGdgx2FXRwo4umMp487xcp6UbKyN2VrlKJYGS954TIAaanpXDlxnWunQwm/EEHktShib8aRFJtCauJtsjKycv4+rS0p5GiPo2th3Iq74FXKA5+KJShToxTla/tiX9he7U9FCELP3eCDGsPIztIybtXnBHSo+1zXkVLyENv/2cvE3j9gV8iWX87OkGFQIYQQ4gkWjFjEkimrKF7WiwUh07G2sX7mazzv67fJ7lOSmZ7Jwi/+BqDn552lkAghhBBPodeobrgWLcLNy7dY8+PmAr23yZaSNXM3c+t6NO4lXOk+rIPacYQQQgijUMjRnrfGvQbk7GGSmnS7wO5tkqUkLTWdxZNyjmTu81UP7ArJ6b9CCCHE02r9dlN8KpUgKTaZ/2asK7D7mmQpWTt3MwnRSRQv60Wrt5qoHUcIIYQwKpZWlrz51asA/DdjXYGNlphcKcnMyGL59LUAvD6yK1bWVionEkIIIYxPo+4N8KlUgpSEVNb+tKVA7mlypWT733uJi4jHw9uNFm80UjuOEEIIYZQsLS3p+VknAFbMXEdWZtYTfseLM6lSoigKK2bmPPvqPLjtcy1jEkIIIUSO5r0a4lrMhdib8exZfkDv9zOpUnJm/wWunLiOrb0Nbfu1UDuOEEIIYdSsbaxp/8HLAKyeu0nv9zOpUrJ+wVYAmvZ8CUeXwiqnEUIIIYxfu/daYmFpQci+81w/G67Xe5lMKUlLSWP3sv0AtOnbXOU0QgghhGlwK+ZCvXa1ANjy+0693stkSsn+1YdJT82geFkvqgRWVDuOEEIIYTJavdkUyDm+RafT6e0+JlNKdi/PGSVp2vMlOaRMCCGEyEf1X6lNIUd7osNiOXfokt7uYxKlJP12Boc3nQBy1lULIYQQIv/Y2NlQ75XaAOxbcUhv9zGJUnJix2ky0jLxLOlO2Rql1Y4jhBBCmJzAjv4AHFp/VG/3MIlScnhzziiJf+ua8uhGCCGE0IM6rapjYaHhWkgYMTdi9XIPkyglJ3aGAFD75eoqJxFCCCFMk5OrI+VqlwHg+I4QvdzD6EtJcnwKV0+FAlCtsZ/KaYQQQgjTVf3O6+zpvef0cn2jLyXngy8DULysFy6eziqnEUIIIUyX350tN84duqiX6xt9Kbl45AoAFfzLqZxECCGEMG0V6+Y8vrl2OozMjPw/oM/oS8nV09cBKFu9lMpJhBBCCNPm4eOOo4sD2mwtoXrYct7oS0no2RsAlKrio3ISIYQQwrRpNBpK+nkDEHbuZr5f36hLiaIoRFy+BUDxckVVTiOEEEKYvhLliwFw81Jkvl/bqEtJcnwKt5PTACha2kPlNEIIIYTpK1rKE4Co0Oh8v7ZRl5K4iAQAHF0LY2tvq3IaIYQQwvS5lXAFIOZmXL5f26hLSWJ0EgBFPJxUTiKEEEKYhyKeOa+5STHJ+X5tvZeSH3/8EV9fX+zs7KhTpw579uzJt2snx6cAUNjFId+uKYQQQohHc3QpDEBKQmq+X1uvpWTJkiV88sknjBo1imPHjtGoUSPatm1LaGhovlw/43YmAPaF7fLlekIIIYR4PDuHnOkSaSnp+X5tvZaSadOm0bdvX/r160flypWZMWMGPj4+zJ0796Efn5GRQVJS0n2/HifrzsYtVjZW+Z5dCCGEEA+ytrUGIDszO9+vrbdSkpmZyZEjR2jVqtV9b2/VqhVBQUEP/T0TJ07E2dk575ePz+P3HlEUBQALC6OeGiOEEEIYDY0m53/vvATnK729msfExKDVavHy8rrv7V5eXkRGPnxt88iRI0lMTMz7FRYW9th7WFjmxNdma/MntBBCCCEeS6fVAXdfg/OT3p97aHIr1R2Kojzwtly2trbY2j790l4bOxsAMtIynz+gEEIIIZ5a7muujZ11vl9bbyMl7u7uWFpaPjAqEhUV9cDoyfMq5JgzwTXtzgZqQgghhNCv20k5r7mFnOzz/dp6KyU2NjbUqVOHLVu23Pf2LVu2EBgYmC/3cHRzBCApNiVfrieEEEKIx0uKzdmfxNG1cL5fW6+Pb4YOHUqfPn2oW7cuAQEBzJs3j9DQUPr3758v13fxcgYgLjLhsY+FhBBCCJE/4m8lAuDiVSTfr63XUtKzZ09iY2MZN24cERERVK1alfXr11OqVKl8ub5b8ZytbrMyskiMSaKIh3O+XFcIIYQQDxcVGgOAx53t5vOT3ie6DhgwgAEDBujl2ja21riXcCXmRhwRV6KklAghhBB6FnH1FgBepT3z/dpGv8FH7hHK4edvqpxECCGEMH25r7feFYrl+7WNvpSU8vMG4Oqp6yonEUIIIUxbZkYW4RciAChV5fEbnD4Poy8lZWuUBuDS8Wuq5hBCCCFM3bXToWiztTi6FsbD2y3fr2/0paSCf1kAzgdfQqfTqZxGCCGEMF3nDl4CoELdsnpZ8Wr0pcS3aknsC9txOymNq6fy5/RhIYQQQjzo9L6zAPg1qKCX6xt9KbG0sqTKSxUBOLEjROU0QgghhGlSFIUTO88AUL2Jn17uYfSlBKBW82oAHN5yQuUkQgghhGm6FhJGXEQ8NnbW+AXISMkj+betBcCJHadJS01XOY0QQghheg6uPQJAjWZV8w7EzW8mUUpKV/GhqK8nmelZHN4koyVCCCFEftu38hAAAR3q6u0eJlFKNBoNDbvUB2D3siCV0wghhBCmJfJaFOcOXUKj0fBSZ3+93cckSglA0545Jw/vX32Y28lpKqcRQgghTMf2v/cCUKOpH65FXfR2H5MpJRXqlsWnYnEy0jLZuURGS4QQQoj8oCgKW/7YCUCL3o31ei+TKSUajYbW7zQHYMOCrSqnEUIIIUzDyV1nCL8QgX1hOxq/GqDXe5lMKQFo9XZTrKwtOXfoEucPX1Y7jhBCCGH0Vv24EYDmvRpRyNFer/cyqVLi4ulMkztzS/6bsVblNEIIIYRxu3U9mn3/HQSg08DWer+fSZUSgG6ftAdg55Igbl2PVjmNEEIIYbyWT1uDTqdQu2U1fKuV0vv9TK6UlK9dhtotq6HT6lgyeaXacYQQQgijFH8rgQ0LtgHQ49NOBXJPkyslAL2+6AbAxoXbiQqV0RIhhBDiWS2ZsoqMtEwq1StH7ZbVC+SeJllKajStQo2mVcjKzObPscvUjiOEEEIYlejwWNbM3QTAm1/3QKPRFMh9TbKUALw74XUANv++k6unQ1VOI4QQQhiP38YsJjM9i2qNK1O3dc0Cu6/JlhK/gIo06lYfnU7hp2G/oyiK2pGEEEIIg3fhyGW2/L4LgPcm9ymwURIw4VIC0G/SG1jbWHF0y8m8g4SEEEII8XA6nY45Hy1EURSa92pI5frlC/T+Jl1KipctSvdhHQD48ZNfSUuRM3GEEEKIR9m4cAdn9l/AzsGW9ya/UeD3N+lSAtBrVDeKlvYgOiyW30YvUTuOEEIIYZDiIuOZ/9mfALw1tifuJdwKPIPJlxK7QrZ89ON7AKyYuZ6QoPMqJxJCCCEMi6IozBy4gJSEVMrX9qXLR+1UyWHypQTAv00tXn6rCYqiMOXt2aSlpqsdSQghhDAY2/7aw74Vh7C0smTYLwOwtLJUJYdZlBKAAdPfwcPbjZuXIvl56O9qxxFCCCEMwq3r0cwatACAPmNepWyN0qplMZtSUriIA8N/HYhGo2Hd/K3s+feA2pGEEEIIVWVnZfNt7x+4nZSGX0AFXhvRWdU8ZlNKAGq3qEaPTzsC8H2/uURcuaVyIiGEEEI9v365mDNB5ynkZM+IRR+p9tgml1mVEoC3x7+GX0AFUhNvM7b7d2SkZagdSQghhChwQauCWTp1FQDDFnxIMV8vlROZYSmxsrbiyyVDcXZ35PLxa8zoP092exVCCGFWrp8NZ/KbswDo8lE7GncPUDlRDrMrJQAe3m58uWQoFpYWbP1zN8u+W612JCGEEKJAJMen8FXnKdxOTqNa48q8P7WP2pHymGUpAajZrCofTnsbgAUj/iJoVbC6gYQQQgg9y8rMYlz377hxMQLPku6MXjoMK2srtWPlMdtSAtBpUBvaf/AyiqLwba8ZnDt0Ue1IQgghhF4oisL093/m+I4Q7AvbMX71CFw8ndWOdR+zLiUajYZBs/ri36YmGWmZjO4wifCLEWrHEkIIIfLdwlH/sOWPXVhYWvDlkqGUqV5K7UgPMOtSAmBpZcmXS4ZSvrYvCdFJjGw9npgbsWrHEkIIIfLNfzPWsXjSCgA++el96rWtpXKihzP7UgJQyNGeCeu+oHi5okRei+bzVuNJiE5UO5YQQgjxwjb8so25Q38D4J1vXqdt3xbqBnoMKSV3uHgVYfLm0Xh4uxF69gafvzyepNhktWMJIYQQz23rot1Mf/9nALoP7cDrI7uonOjxpJTco2hpT6ZsHYOLlzNXTl7ns5fHSTERQghhlLYu2s3Ut2ejKAod+rfi/al90Gg0asd6LCkl/8e7QnGmbvuKIp7OXD5+jeHNvyY+Sh7lCCGEMB4bf93BlLdmo9MptOvXgkGz+xp8IQHQKAa8nWlSUhLOzs4kJibi5ORUoPe+fjacz1qMJS4yAZ+KxZm8ZQwe3m4FmkE8u+jwWM4dvMiVk9e5eTmS6PBYkuNSyEzLBMC2kC1Obo64e7tSolwxytYoTeUG5XHxKqJyciEKjjZby9VToZwPvsT1M+FEXosiPjKB1MTbZGdpsbSywN7RHhcvZ7xKelDSz5vytctQvrYvNnY2ascXT7By9gbmfLQQgPYfvMzgOf2wsCjYMYjnff2WUvIY4Rcj+KzlWKLDYvEs6c7kzaPxrlC8wHOIR9PpdJwJOs/u5Qc4uP4oNy9FPtd1Slf1oUH7ujTtGajqsd1C6Etaajr7Vx9m74qDHN1yktTE2898DWtba6o1rkxgR38ad28gZd7AKIrCovHL+ePrpQB0/fgV+k97S5UREiklehIVmrMaJ/xCBM7ujnyzdiSV6pVXJYu4Kzk+hfXzt7Fu3pb7Tnu2sNDgW70U5Wv54lOpBB4+7ji7O2Jjn/PTXcbtDBKjk4gKjSH0/A0uHr7CtZCw+65drpYvnQa2oXnvRtjYWhfo5yVEfgu/cJP/fljPtkW7uZ2clvf2Qk72VKpXjjLVS1O8rBduxV1xKFIIK2srtNlabielEReZQMTlSK6FhHHu0CUS7nmUbWFpQUCHOnQc2JZazasaxaMBU6bVapnz0a+smbsJgD5jXqXPV6+q9vcipUSPEqIT+aLdt1w8cgVbextGLR5CQIe6quUxZ0lxySybuppVczaSlpIO5CzpfqlLPV7qXI+azavi4FTo2a4Zm8zhTcfZ899BDq49QlZmNgDuJVzpNaob7fq1UP04byGe1c3Lkfw2ZjE7FwflHTparIwXTXsGEtDRnwp1y2Bp+fT/rhVFIfRsOIfWH2PXsiDOB1/Oe1+FumV58+se1GtbS8qJCtJvZzDpjR/YtzIYjUbDgB/eofOgtqpmklKiZ2kpaYzvMY3gjcexsNDQf9rbdB7cVr4AC4g2W8uauZv54+slJMenAlCmeim6fPwKTXsGYlfINl/ukxSbzMaF21kxcz0xN+IAKOXnzeA5/ajRpEq+3EMIfUq/ncFf45ezfNoasrO0ADRoX4cuH79CzWZV8m1uwfUzYaz+cRObf9tJ+u0MAGo2r8rAH96ldBWffLmHeLK4yHjGdJrM+eDLWNta8/kfg2nyqvon/kopKQDZWdnMHLCADb9sA6BD/1YM+OEdgzrMyBRdPR3Kd+/+yIXDOT+Zla7qwzvfvE5Ah7p6K4WZGVmsn7eVP8cty1sW3qF/K96b2gd7Bzu93FOIFxUSdJ4pb83i5uWcR5p1W9eg77e9KVfLV2/3TIhOZOmUVaycvZGsjCwsrSx5fWQXeo3qirWNPP7Up0vHrzKm02Siw2JxdC3MuJWfUbVhZbVjAVJKCoyiKCz7bjULRvyFoijUaFqF0UuH4uxuGPlMiaIorJq9kXmf/UlWRhaFizjw7oTXafd+y2cadn4RyfEp/DLyb9bN2wJAycolGLN8OKUqexfI/YV4GjqdjiWTV/Hb6H/Q6RQ8vN0YNLsvgR39CyxDxNVbzB3yG/tXHwZyHul88ffHlChXrMAymJPdy/cz9e05pN/OwLtCMcavGYl3ecP5s5ZSUsD2rznMxN4/kJaSjlcpD776dzjla5dRO5bJSEtNZ1q/uexcEgRA/VdqM2Ref9yKuaiS5+i2U0x5axaxN+OxL2zHF39/QoP2dVTJIsS90m9nMOWtWez59yAALXo3YvDsvjg4OxR4FkVR2LU0iJkD5pMcn0ohJ3tGLvpYvlbykVar5bcvF7N48koA6rSqwah/PsHRpbDKye4npUQF10LC+KrLFG5eisTa1pqP5vSjzbvN1Y5l9GIj4hndcRIXj1zB0sqS96f2octH7VSfvxMflciE16ZzYmcIFhYaPp77Pu3ea6lqpuysbG5ciuTWtWgSohJJS0lHURRs7W1wdC2Mh7cb3hWKqfICZcx0Oh23rkUTcTWKhFs5+3dotTqsbawoXMQBt+IulKhQXPVj35Pikvmy/UTOHriIlbUlg2f3U/3fJOTsFzTh9emE7DuPRqPhg+/epNuQ9mrHMnoJ0YlM7P0DR7eeAnK2je83qbdBTsSXUqKSlIRUJvWZycF1RwFo/XYzBs3um28TL83NzcuRfN5qPJFXo3B2d+Tr/z41mGekkFMCfvhwPhsXbgfgw+lv0/XjVwrs/oqicOHwZYJWBXNs+ykuHb2at1rocbxKeVA5oAI1m1ahXrvashHg/9FmawkJOs/hTcc5tecsl45ezZu8+TiuxVyo1qgSdVvXIrBjXZzcHAsgbY7EmCQ+azmOKyev4+jiwNiVn1OtkeF8rWRlZjHno1/zHn32+LQT/Sb1Vv2HC2N1et85Jrw2nZgbcdgVsmXogg9p9tpLasd6JCklKtLpdPwzcQV/fLUEnU6hdBUfRi0eIjPQn1H4xQg+bf41MTfiKF7Wi4kbv6R42aJqx3qAoij8MvIvlkxZBcBHP75Hh/6t9HrP28lpbFiwjTU/bebGxYj73mdf2I5iZbxwLVYE+8J2aCwscvZjiUkm6no0cZEJD1zPL6ACLd9oTPNeDc16FOXCkctsXLiD3cuCSIy5/5wra1trivp64lasCA5FHLC0siQ7M5vkuBSiQmOICo3h3m+fVtaWBHTyp+tH7fRepFMSUhne/GsuH7+Ga9EiTN4yxiC/3yiKwtKpqx0lkU0AACAASURBVFkwYhEAnQe3ZcCMd6SYPIO8+UJjFqPT6vCpWJwxy4cb5N/3vaSUGIDjO04zsfcPxEUmYGNnTf9pb9P+g5flC/ApRIVG80mj0USHxVLKz5spW8fgWlSd+SNPQ1EUFo76h8WTVqDRaBi9bBiNutbP9/tkZmSxcuZ6Fk9akbcU2q6QLfVeqU29trWo2rASxcsWfey/sZSEVC4evcLpPec4vPk4Zw9czHsxtXOwpc27zXl1WAc8S3rke35DpNPpCFoVzNKpqzh74GLe2x1dC1OvbS1qNqtK5Qbl8a5Y/LETqtNS07l45ArHtp0iaHUwV05cz3tfzWZVeG9KHyrUKZvv+TMzshjZ5htO7jpDEU9npu0ai0/FEvl+n/y0fv5Wpn+Qc1Jtj0878d7kN1ROZBxibsYx5a3ZHNuW87imea+GfDz3fQo52quc7MmklBiI+KhEprw1i8ObTgAQ0LEuQ+b1V/3ZsyFLjk/hk4ZfEnr2Bj4Vi/P9zrFGsX21oijMHDCftT9vwdbehul7xufrZOfT+84xrd9cws7fBMC7QjG6D+1A814NsS/8/N+UYiPi2fHPXjb8so3QszeAnJ/y2/ZrSZ8x3Y3iz/55KIrCofVH+eWLv7l6KhTI+bwbdW9Aq7eaUat51Rd6Nn/l5HVWzd7Alj92kZWZjUajocOHreg3qfcL/X39/+fwfd+5bPptB4Uc7fl+11jK1dTfct/8dG8x+XDa23T9pOAeexqjvSsOMv39n0mKTcaukC0DZ75L63eaGc0PuVJKDIhOp+O/GetY+MXfZGVmU8TTmSHzPijQ5XnGIjsrm5FtJ3B8+2ncS7jyQ9AEPH3c1Y711LTZWkZ3nETwxuN4lfLgxyOT/9fenYfVlP9xAH+fe0sKFbJFSPY9RZYoW3bDkD1blii7yTZ+GoMMGUuGxEyWYWTfsmXJvoylkH2JCFlSSdru+f0RdzQZKnXPufV+Pc99njr33Hs/cyb3vM/3fBcYFvm2fgUqlQrrZ23FnzM3Q6USUaSkMQbP6YNWTs2ydSi0KIq4dOgKNs7djuCjoQBSZ8d1muGIrqPby7LzXFY9vvMUS0f9josHUy8WDAz10cWtHbqMapftISzy0Qv8Me0vHF5/AkBqmPzf5gkwr1Xum9979/IDWOK6CgqFgFkBU1G/Td1vfk9N2vjLDvw+ZT0EQcBPO9w5M/ZnxEXHYdm41Ti4OghA6rIXU9aPQdmq8m4N+zeGEhm6FxKGuU5LEHYtdW2V1gPsMHLhIBQ0zrv38P/NZ/xqbF0UAP2C+bHo5CxUqP3tX9ya9vZNHFzrT0LEvedo/F19eGz7IctXM59OFw0ArfvbYeSinP+bCQkKha/7OvUEdRUtzfGDn6tW/v/4VEpyCjYv2I21HpuQlJAE3Xw66Dq6PXpO7vLN4fFrLh26gvmDflN3TJz619hvOgnfv/IQbg0mIykxGcPmOcFxYudsrFYzRFHE4hErEeAbCINC+lh63lP2t5406WJgCBYMWY4X4a8gCAJ6/NAZA2b21MpJ6BhKZCrxfSLW/M8fmxfshiiKKGpaGKOXDWWrCVKbJ3/q5gUAmLF1Imy7Zn+fDE25e/kBRjeaiqTEZExYNSJLQ8PfxcZjWoc5uHbyJnT1dDHWZxgcBthnf7H/QaVSYf8fR7Fq0jrERsVBR1eJwbP7oNv4jhpf9jw7PAuLhGe/Jbh++haA1NlN3bydNTqZV8yrWMzuvRCXDl2FQiFgop8rWjvZZfp9EhOS4Fp/EsKuhaNhJyvM3DFJa5rx/y05KRnurWbi6okbqFC7HJacmQ09/bw9WvHtmzj4/rBOPVu4qUUJ/ODnKquRh5nFUCJzoadvwWvwb3h8O3XkhH3Pxhi5aFCuvX//NS+fvMKw2hMQGxUHxwmdMGx+f6lL+mb+83Zi1eQ/UcDIAL9fX5Spid4S4hMwpe1sXD1xAwWMDDBr92TJvpCinr/BIhdfnN6Z2lpj06EeJq0dJbvJmb7k7J6L+KW/N96+SZ3Aa+SiQXAYYC/JiTw5KRmLhvviwOqjEAQB0/4aC7sejTP1Hms9NmHdzM0wLmYI36u/an0ftVdPo+Bi+QPeREajy6h2cF08WOqSJHNqx3l4u63Cq4goAMB3rm3hPLev1i9nkdXzt/Zd/mipGo2rwOfyfPSY2BkKhYAg/9Nwrj4We1cdhkqlkro8jRJFEQuHr0BsVBwqWVXAoNm9pS4pW3Sf0BFV6lsgLvodfCasyfDrVCoVfhmwVB1I5h36n6RXSIVLGMNj2w8Ys3wYdPV0cS7gEtxspuDRzSeS1ZRRoihi/eytmN55Lt6+iUNVm0pYEeyFNgOl6yCoo6uD8atc0GFoK4iiiLlOS3D1xI0Mv/7xnafYOHc7AMDN21nrAwkAFC1VGO6rXQEAO7z3ISQoVOKKNO/F41fw6DYfHt/Px6uIKJSuVAoLgn6Cm7ez1geSb8FQokF6+noYOs8J3uc8UdHSHLFRcVg4zAfj7f6HB1cffv0Ncomjf53E+b2XoZtPB5PWuGnl/dLPUSqVGOszPDV0bjyFa6duZuh1f3lux4ktZ6GbTwczd07KkWGkmSUIAjoOb40lp2ejRLliiLj7DGMaT0PIMfmePJKTkjF/8G9YPX0jAKDTiDb49dhPKFm+uMSVAQqFAqOWDUHTbjZITkrBTMcFePnkVYZeu2LiGiQlJsO6TR00k8Hqr9mlfltLdPgw++yvw3yQ+D5R4oo0IzkpGVsX7oFz9bE4tf08lDpK9JrcFSuC56N2s+pSlyc5hhIJVLaywNJznhju1R/5C+gh9NQtuNRzx/JxqxEXHSd1eTkqLjpO3YrQ98fuKFdd3hMAZVZFS3N1f5KV7uvwtbujoadvYe0MfwDAqN+GyO5LqaKlOZae90T1xlXw9k0cprSZhVM7zktdVjoJ8QmY0XUeAtccg0KpwJjlwzD6tyGyCrxKpRLua0ahQp1yeBMZjV/6e3+1lfTqiRs4u/siFEoFRizMfZOODZ3vhKKmhRFx95l6MsLcLORYKEZaT4LPhDWIf/se1RtVxvKLv8B5Tp8836/mI4YSiSh1lOg+vhN+v74Itt/bQJWiwrbFARhYZQz2/3Ek197S2TBnO6KeR6N0pVJw/EH7Rg9khJNHD+jp58P1M7dx4UDwf+6XEJ+A+YN+g0olomW/pmjn3FKDVWaccTEjzAucjiZd6iMpMRkzHRcgyP+U1GWpxce9x7QOnji/9zL09PNh5g53dBzeWuqyPiu/gR6m+49HfgM9BB8Nxe7lB7+4/+r/pbb6tBvcQuuGhGZEAUMDuCwYAADw/2UHXjzOWOuRtokMf4nZfRZhYnMPPLj6CIWKFMQ4XxcsPPFztgwVz00YSiRW3MwEM7ZMhOf+H2FWxRRvIqOxYMhyuNlMydR9Z20QGf4S25fsBQC4LBiAfHryuYrNTiamRdDxw7TzG+Zs+8/9Ns3bhSd3nqKoaWG4LXHWVHlZoqevh+mbJqB1fzuoUlTw7LsYxzafkbosJMQnYHqnuQgJCoVBIX3MPfAjbDrIe0XaMpVNMeTDjKZ/TN2A18+iPrtf6OlbuHLsOnR0lejzYzdNlqhRdj0ao6ZtVSTEJ6pbDXOL+Lj3WOuxCYOrjkHQxlMQBAEdhrXG6ltL0H5IS60c1ZbTeERkwtqhDlaEeGHY/P4wMNTHnYv3Md7uf/ipuxce/2utE221YdZWJCUkoVazarDpUE/qcnJU9wmdoKOrxLWTN3Hz/J10z7+MeA3/ealLj4/4daBWzF2j1FFi4h8j0WZgc6hUIjz7Lsbf+y9LVk9yUmqrzcdA4nngR60ZQtnRpTUqW1vgXWw81s7Y9Nl9ti7cDQBo1a+ZVk0omFmCIGDoPCcAwME1QXh8O0Liir5dSkoK9vsdxaAqo7Fu5mYkxCeiVtNqWHbhF4z1GabRhRu1TY6FkrCwMDg7O8Pc3Bz6+vqwsLDAjBkzkJiYNzozZYVuPl04TuiE1be90WFYaygUAk5uO4chNcbB220VoiKjpS4xy148foUDq48CAAb93DvX3Rv/NxPTIrD/sILnrmUH0j2/YfY2JMQnonrjKlrVeVGhUGDcyuGw79UEKckpmNl9AW79fVfjdYiiiF+H+ahv2cwOmILqDStrvI6sUiqVGPFr6m2LfX8cwdP7z9M8//LJK/UEet+P66jx+jStesPKsOlQDyqViL8+jDTSRqIo4vy+yxhRzx0LnJfhVUQUSpYvhh/9x2NB0E+oaKkdSwJIKcdCyc2bN6FSqbBixQqEhoZi4cKF8PHxwdSpU3PqI3ONwsWNMNZnGHyCvdCgvSVSklOwa9kB9LdwxZoZ/oiLeSd1iZm2fXEAkpNSUKtZNVktr56TPq4cfHzzmTQdmKMio7H/jyMAgIEze2pdQFMqlXBf7QrrNnXw/l0Cpneei8hHLzRaw/pZW9WdWqdvGq81LSSfqmlbDVYOdaBKUWGz1640zx3wC4IqRYVaTavBvGZZiSrUrD7TUm9RHVl/Ai8jXktcTeZdP3MLE1t4YFqHOXhw9REKGhfAsHlO+P3GYtg5NtK6f+dSybFQ0rZtW/j5+cHBwQEVKlRA586dMXHiRGzb9t/32BMSEhATE5PmkZeZ1yyL2XumYv7hGahsbYH3cQn48+ctcKrgCv95OxEf917qEjPk/bsE7Ps99STsOCF3dm79nGoNK6NstdJIiE/EiW3/jFjZ63sISQlJqNqgIuo2rylhhVmnm08X0zdNQIXa5RD1PBr/6zIP798laOSzT2w7hzUfRywtHSL7PiRf0ntyVwCpty3evkkNrqIo4vD64wCQpZmBtVX1hpVR07YqkpNSsOcrHYDl5O7lB5jeeS7GNPkRV45dh66eLrqP74Q1d73hOLFzru07l1M02qckOjoaRYoU+c/nPT09YWRkpH6YmeWu4aJZVbd5TSw954npm8bDrGppxL5+i1WT/0R/CzdsXbhHYyeDrAryP423b+JQqkKJXN+X5FOCIKBFn6YAgGObUkerqFQq9VTS37m10+qrJ4NC+vh51yQYFzfCveAwLBq+4qtDoL/VwxuPMX/gUgBA19HtZTvKJqNq21WHea2ySIhPVC/g9+DqI4TfioCuni5sv9fepReyootbOwDAvt8PIzkpWeJqvuz+lYf4qbsXRli54+ye1GHbbQe3wOrbSzDcq3+Or62UW2kslNy7dw/e3t5wcXH5z32mTJmC6Oho9SM8PFxT5cmeIAho1r0RVl5ZgB/8XFHSvDjeREbDZ8Ia9LdwxeYFu2XbcnLAL7WVpJ1z3utt3rRbQwBA8JFriIt5h2snb+L5wxcwMNRH027af8IpXrYYpm8aD4VSgcPrTyDA91COfdb7dwmY1eNXxL99jzr2NTDcS/uXJhAEAW0HpbaGfGwd+TgPTP22dWFQSF+y2qTQuEt9GBczxOtnb3DhQIjU5XzW3csP8FN3LwyvOxEnt52DIAho3rsJfg9diAmrRuTqTsmakOkzhIeHBwRB+OLjwoULaV4TERGBtm3bwtHREUOGDPnP99bT04OhoWGaB6Wl1FHCYYA9/G4uxrgVw1GiXDFEPY+G7w9r4WQ+Eutnb1U3A8vB84cvcO3kTQiCgNb9m0ldjsaVrVoaphVLIjkpBcFHruHE1rMAgCZdG+SayZJqN6sO5zl9AADLx/khLDRnLiZ8xq1GWGg4ipQ0xtQNY6DUUebI52iaXc/GEAQBN87ewcsnr9Rz22jzbams0s2nq25dPLzhhMTVpHX9zC382MkTI6zc1WHErkcj+F5ZgKnrx6JMZVOpS8wVdDL7Ajc3N/Tq1euL+5QvX179c0REBJo3b45GjRrB19c30wXS5+no6qD90FZwGGiPwLXHsHHudkTce47V0zdi07yd6DTCAV3HdMjUonA54fiW1JNwHfvqMCldVNJapGLVug4i7j5D8NFrOL/3EgCgyXcNJK4qe3Wf0AnBR6/h7/3B8Oy3GEvPeWbrbKpndl9AwMpDEAQBk9aNRpGS0v5dZ6eipQqjqk1F3Dh7B0H+p3HzXOoQcmuH2hJXJo0WfWyxbXEAzu6+gIT4BEnDuyiKuHAgGBt/2YErx64DABQKAXY9G6PP1G4oX4NdDLJbpkOJiYkJTEwy1jz15MkTNG/eHFZWVvDz88tzTfeaoKOrg3bOLeEwwB5B/qexce52hIWGw3/eTmxbFICW/Zqh+4ROKFetjCT1nd6Z2hRt+31DST5fDurYVcfu5QdweP0JxL5+C4VSAcuWtaQuK1spFApM/GMkhtaagPshD7H+560Y+POXL14yKuZ1LBYO8wEAdBvXEfVy2bEDAGuHurhx9g42zNkGlUpEyfLFULxsManLkkRlawsUMyuKF+GvcPnwNTTsqPkWo6TEJAT5n8aWBbtx/0rqumQ6ukq06tcMPSd3RZlKpTReU16RYykhIiIC9vb2MDMzg5eXF168eIFnz57h2bNnOfWReZpSR4mWfZtiRYgXftrhjuqNqyApMRn7/ziCITXGYVrHObh0+GqOd0T81Ns3cbh++hYASPLFIhfVGlYCAMS+fgsAqFTPPFf2FShSsjBGLxsKANj4yw71l/m38pmwBlHPo1G2WmkMmpU9QUdu6tjXAPDP30hVLZpzJbsJgoCGH25dnd+n2cn5Yl7HYuPc7XCq4Ip5A5bi/pWHyF9AD93GdsDae79hwu8jGUhyWKZbSjLq4MGDuHv3Lu7evYsyZdJepWvyxJjXKBQKNO5cH40718e1UzexZcEunN55Aef3Xsb5vZdhXqssuoxqj5Z9bXO8WTQkKBQqlQizKqYoUS5vXvUBQDEzExgXM8SbF6lD3KvZ5N4Tjp1jIwT52+DktnNYOHwFFp+a9U0tpMFHryFwzTEIgoAJq0YgX/582VitfFS2rgCFQoBKlfrdWLleBYkrkpZ1m7rY7XMQlw9f0cjnPbwejh3e+3Bo3XH1aMYiJY3RZVR7dHRpjUKFC2qkDsrBlpKBAwdCFMXPPkgzajapCo9t7vC7tRidR7ZB/gJ6eHD1ERYO80FvMxesdF+Hpw+ef/2Nsujj2j217Wrk2GdoA0EQYFbtn8XUzGvn7gW4XJcMhkEhfdw8dwf7/zia5fdJTkqGt9sqAEBHFwdUb1Qlu0qUHf2C+ihpXlz9e7k83lehVrPUyfAe336KqOdvcuQzUpJTcGrHebi3nokhNcdjz4pAvH+XgAp1yuEHP1ese7AMvad0ZSDRMHbyyANKVyyFUUuH4K/wFRg2vz9Kli+G2NdvsclrFwZUHIVpHefg7J6LSElJydbP/bjmS40mufdkklFlKv3TM79s1dzdS9/EtAj6e/QAAPhN25BmNtvM2PXbATy68QTGxQwxeHbv7CxRlspW/6dFuXSlkhJWIr1ChQui3IfjcfN89i5j8OpplHoSSo/v5+Py4atQKAQ06doAXkc84HNpPhwG2HPSM4nk2O0bkp+CxgXgOKETvh/bHucCLmHXsgO4eDBEfWunmFlRtHNuibaDW6BYmW8bKaNSqXAvOAwAUNkqbzdFA4Bx8X+GtxeReESUJnzn1hYBvoEIvxWBjXN3wNmzb6ZeHxv1Fn/+vBkAMPDnXlqxYOG3KmBkoP7ZuLiRhJXIQ2VrCzy8/hh3Lz1Ao07W3/ReKSkpuBR4BQErD+HMrgtQpagAAEYmhdDOuSU6ujjk6VvMcsJQkgcplUp1v5PHd54iYEUgDqw+ihfhr7DWYxP+nLkZ9dtZos2gFmjYsV6WhnZGPnqJ93EJ0NFVcvw+UpvnPypYOPefYHV0dTDkl36Y0WUeti0OwHej2sHE9L9nc/43/192IDYqDuVrmKGtc96Zav2j3NgROrPMa6Xe5gy7nvV5b54/fIGDq4Ow3+8IIh+9VG+v0aQKOg53QLPuDXNtPyVtxVCSx5WpVArDvfpj0KxeOLH1HPauOoQrx67jXMAlnAu4BONihmjRpynaDGqOCpnoC/Fx1dPSlUrlmkmussunV8S5WaNO1qjRpApCT93ChtnbMPq3/5448VNRz99g59L9AIBBs3tDqcwbfz+fLjmgzcsPZBezKqkXM49vR2Tqde/fJeDU9vM4sPoogo9cU/djLGhcAK2cmqH90FZ5ZpFDbcRQQgCAfPnzoWXfpmjZtyke347A/j+OIHDtMbx+9gbbFgdg2+IAVKhTDq2d7NC8t+1XJ2WzbFELu2LWqkec0D/y0kl20M+9MbGFB/b/fhh9pnbN0AR6Wxbsxvt3CajaoOI3N9uT9ipRPvV2ysvHX18xWKVS4erxGzi07hiObzmLd7Hx6ufqtqiJdoNb5KpZlHMzhhJKp0xlUwyZ2w+DZvXG3/uDcXDNUZzdfRH3Qx5iRcharHRfB8tWtdGity2adG2AAoafv/LXL6if5rZFXlbQOG+0jvxbbbvqqNW0Gq6euIEtv+6By4IBX9w/5nUsdvukrhDb98fuearFwLgY+5F8qtCH25xv38RBFMV0fwuiKOLB1Uc4vP4Ejm48iRfhr9TPlTQvDof+9mjVvxlKmZfQaN30bRhK6D8pdZRo2NEKDTtaIeZ1LI75n0bgumO4cfYOLh4MwcWDIVjk4gubDvVg37MJbDrUQ34DXol8jsNAe5zZcxH129SVuhSNEgQBvSZ3xdUTN7B35SH0m979i51WA1YcQvzb96hQu1yeWlEaAHpP7Yp7IWFo7WQndSmyUPDDUFxVigrxb9+r+9k8vh2BIP/TCPI/hYfXH6v3L2BkgGbdG6GVUzPUtK3KGcS1lCDKeOKQmJgYGBkZITo6movzyUjEvWcfrk5OIfzmE/X2/AX00LCjFZp1b4T67SwZUAhA6hXtsNoTEBYajuFe/dF9fKfP7peclIx+5iPxKiIK7qvd0Lo/T855mSiKaJ+/N5KTUuAV9BNCT97E8S1n1KP6AEBXTxcN2luiZZ+msOlQj51WZSSr52+GEsoyURRxLzgMRzeewvHNp/Es7IX6ufwGevhp56RcuU4JZV6AbyAWufjC1KIE/G4t+exV7PEtZ/Bzj19RuIQR1j9cnq0L+pF2cizhnK5fmkKpgFXr2rDr0Ri2XRuggFHuH82mjbJ6/ubtG8oyQRBQ0dIcFS3NMWRuX9z6+y6Obz6DE1vPIjL8FSrWLS91iSQTLfo2ha/7OkTce47gI9dQr1X6FXADfAMBAG0Ht2AgIQDAMK/+OL75DM7vu4x6rWqhabdGsO3aAIZFC0ldGuUQtpRQthNFEU/uPOX8JJTGkpErsdvnIFr0scWUP8ekeS7y0Qv0M3eFKIpYe28pOyeS2psX0VAoFTAswiCiTbJ6/mZPIMp2giAwkFA6DgPtAQCntp9H/Nv4NM8dXn8Soiiijn0NBhJKw7iYEQNJHsJQQkQaUaV+RZSuVAoJ8Yk4s+tCmueC/E8BAFr2bSpFaUQkEwwlRKQRgiDAzrERAOD41rPq7Y/vPMX9Kw+h1FGiSdcGUpVHRDLAUEJEGmP7vQ0A4OKBECS+TwQAnNn5NwCgjn11NtMT5XEMJUSkMRUtzWFSugjev0tAyLHrAIDz+y4BABp25JTyRHkdQwkRaYwgCLD+MKvtpcAriI97j9BTtwAA9dvmrdluiSg9hhIi0ijLDxPqhQRdw40zt5GUmIxiZYqidKVSEldGRFJjKCEijardrBoA4F5wGP7eH5y6za56nlp8j4g+j6GEiDTKpHRRFDMrCpVKxM7f9gMAqjWsLHFVRCQHDCVEpHFV6lcEACQlJAEAKltbSFkOEckEQwkRaVyF2uXUPysUAsxrlZWwGiKSC4YSItK4stXKqH8uXq4Y8hvoSVgNEckFQwkRaVzpSiU/+ZmjbogoFUMJEWlcsTJF1T8XKWksYSVEJCcMJUSkcQWMDKQugYhkiKGEiDROR1dH6hKISIYYSoiIiEgWGEqISFqcyJWIPmAoISJJmFUxBQA079lE4kqISC54Y5eIJOF9dg4e336qnt2ViIgtJUQkiQJGBRhIiCgNhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBY2EkoSEBNStWxeCICA4OFgTH0lERERaRiOhxN3dHaamppr4KCIiItJSOR5K9u3bh4MHD8LLy+ur+yYkJCAmJibNg4iIiPKGHA0lz58/x9ChQ7Fu3ToYGBh8dX9PT08YGRmpH2ZmZjlZHhEREclIjoUSURQxcOBAuLi4wNraOkOvmTJlCqKjo9WP8PDwnCqPiIiIZCbTocTDwwOCIHzxceHCBXh7eyMmJgZTpkzJ8Hvr6enB0NAwzYOIiIjyBkEURTEzL3j58iVevnz5xX3Kly+PXr16Yffu3RAEQb09JSUFSqUSffv2xZo1a776WTExMTAyMkJ0dDQDChERkZbI6vk706Ekox49epSmo2pERATatGmDLVu2wMbGBmXKlPnqezCUEBERaZ+snr91cqqgsmXLpvm9YMGCAAALC4sMBRIiIiLKWzijKxEREclCjrWU/Fv58uWRQ3eKiIiIKBdgSwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJAkMJERERyQJDpQgT9QAAB5ZJREFUCREREckCQwkRERHJAkMJERERyQJDCREREckCQwkRERHJgo7UBXyJKIoAgJiYGIkrISIiooz6eN7+eB7PKFmHktjYWACAmZmZxJUQERFRZsXGxsLIyCjD+wtiZmOMBqlUKkRERKBQoUIQBEHqcr4oJiYGZmZmCA8Ph6GhodTlSI7HIz0ek7R4PNLjMUmLxyM9bTkmoigiNjYWpqamUCgy3lNE1i0lCoUCZcqUkbqMTDE0NJT1H4qm8Xikx2OSFo9HejwmafF4pKcNxyQzLSQfsaMrERERyQJDCREREcmC0sPDw0PqInILpVIJe3t76OjI+q6YxvB4pMdjkhaPR3o8JmnxeKSXm4+JrDu6EhERUd7B2zdEREQkCwwlREREJAsMJURERCQLDCVEREQkCwwlREREJAsMJTkkICAANjY20NfXh4mJCb7//nupS5KFhIQE1K1bF4IgIDg4WOpyJBEWFgZnZ2eYm5tDX18fFhYWmDFjBhITE6UuTaOWLVsGc3Nz5M+fH1ZWVjhx4oTUJUnC09MT9evXR6FChVC8eHF06dIFt27dkrosWfH09IQgCBg7dqzUpUjmyZMn6NevH4oWLQoDAwPUrVsXFy9elLqsbMdQkgO2bt0KJycnDBo0CCEhITh16hT69OkjdVmy4O7uDlNTU6nLkNTNmzehUqmwYsUKhIaGYuHChfDx8cHUqVOlLk1j/P39MXbsWEybNg2XL19G06ZN0a5dOzx69Ejq0jTu2LFjcHV1xdmzZxEYGIjk5GQ4ODggLi5O6tJk4e+//4avry9q164tdSmSiYqKQpMmTaCrq4t9+/bh+vXrWLBgAYyNjaUuLfuJlK2SkpLE0qVLi6tWrZK6FNnZu3evWLVqVTE0NFQEIF6+fFnqkmRj3rx5orm5udRlaEyDBg1EFxeXNNuqVq0qTp48WaKK5CMyMlIEIB47dkzqUiQXGxsrVqpUSQwMDBTt7OzEMWPGSF2SJCZNmiTa2tpKXYZGsKUkm126dAlPnjyBQqGApaUlSpUqhXbt2iE0NFTq0iT1/PlzDB06FOvWrYOBgYHU5chOdHQ0ihQpInUZGpGYmIiLFy/CwcEhzXYHBwecPn1aoqrkIzo6GgDyzN/Dl7i6uqJDhw5o1aqV1KVIateuXbC2toajoyOKFy8OS0tLrFy5UuqycgRDSTa7f/8+AMDDwwM//vgj9uzZg8KFC8POzg6vX7+WuDppiKKIgQMHwsXFBdbW1lKXIzv37t2Dt7c3XFxcpC5FI16+fImUlBSUKFEizfYSJUrg2bNnElUlD6IoYvz48bC1tUXNmjWlLkdSGzduxKVLl+Dp6Sl1KZK7f/8+li9fjkqVKuHAgQNwcXHB6NGjsXbtWqlLy3YMJRnk4eEBQRC++Lhw4QJUKhUAYNq0aejWrRusrKzg5+cHQRCwefNmif8rsldGj4m3tzdiYmIwZcoUqUvOURk9Hp+KiIhA27Zt4ejoiCFDhkhUuTQEQUjzuyiK6bblNW5ubrhy5Qr++usvqUuRVHh4OMaMGYM///wT+fPnl7ocyalUKtSrVw9z5syBpaUlhg8fjqFDh2L58uVSl5btct9qPjnEzc0NvXr1+uI+5cuXR2xsLACgevXq6u16enqoUKFCruvEl9FjMmvWLJw9exZ6enppnrO2tkbfvn2xZs2anCxTYzJ6PD6KiIhA8+bN0ahRI/j6+uZwdfJhYmICpVKZrlUkMjIyXetJXjJq1Cjs2rULx48fR5kyZaQuR1IXL15EZGQkrKys1NtSUlJw/PhxLF26FAkJCVAqlRJWqFmlSpVKc04BgGrVqmHr1q0SVZRzGEoyyMTEBCYmJl/dz8rKCnp6erh16xZsbW0BAElJSQgLC0O5cuVyukyNyugxWbJkCWbNmqX+PSIiAm3atIG/vz9sbGxyskSNyujxAFKH9zVv3lzdkqZQ5J1Gy3z58sHKygqBgYHo2rWrentgYCC+++47CSuThiiKGDVqFLZv346goCCYm5tLXZLkWrZsiatXr6bZNmjQIFStWhWTJk3KU4EEAJo0aZJumPjt27dz3TkFYCjJdoaGhnBxccGMGTNgZmaGcuXKYf78+QAAR0dHiauTRtmyZdP8XrBgQQCAhYVFnrwijIiIgL29PcqWLQsvLy+8ePFC/VzJkiUlrExzxo8fDycnJ1hbW6tbih49epRn+tV8ytXVFRs2bMDOnTtRqFAhdQuSkZER9PX1Ja5OGoUKFUrXp6ZAgQIoWrRonuxrM27cODRu3Bhz5sxBjx49cP78efj6+ubKFlaGkhwwf/586OjowMnJCfHx8bCxscGRI0dQuHBhqUsjGTh48CDu3r2Lu3fvpgtloihKVJVm9ezZE69evcLMmTPx9OlT1KxZE3v37s2VV35f87FfgL29fZrtfn5+GDhwoOYLItmpX78+tm/fjilTpmDmzJkwNzfHokWL0LdvX6lLy3aCmFe+BYmIiEjW8s6NbCIiIpI1hhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKSBYYSIiIikgWGEiIiIpIFhhIiIiKShf8DqyCSPCFshI4AAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x121445f28>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "source": "julia"
    }
   ],
   "source": [
    "using PyPlot\n",
    "using PyCall\n",
    "\n",
    "@pyimport numpy as np\n",
    "\n",
    "xs = np.arange(-7.25, 7.25, 0.01)\n",
    "ys = np.arange(-5, 5, 0.01)\n",
    "x, y = np.meshgrid(xs, ys)\n",
    "\n",
    "eq1 = ((x./7).^2 .* np.sqrt(abs.(abs.(x)-3)./(abs.(x)-3))+(y./3).^2 .*np.sqrt(abs.(y+3 ./7 .* np.sqrt(33))./(y+3 ./7 .* sqrt(33)))-1)\n",
    "eq2 = (abs.(x/2)-((3*np.sqrt(33)-7)/112).*x.^2-3+np.sqrt(1-(abs.(abs.(x)-2)-1).^2)-y)\n",
    "eq3 = (9 .*np.sqrt(abs.((abs.(x)-1).*(abs.(x)-.75))./((1-abs.(x)).*(abs.(x)-.75)))-8.*abs.(x)-y)\n",
    "eq4 = (3 .*abs.(x)+.75 .*np.sqrt(abs.((abs.(x)-.75).*(abs.(x)-.5))./((.75-abs.(x)).*(abs.(x)-.5)))-y)\n",
    "eq5 = (2.25.*np.sqrt(abs.((x-.5).*(x+.5))./((.5-x).*(.5+x)))-y)\n",
    "eq6 = (6*np.sqrt(10)./7+(1.5-.5.*abs.(x)).*np.sqrt(abs.(abs.(x)-1)./(abs.(x)-1))-(6*np.sqrt(10)/14).*np.sqrt(4-(abs.(x)-1).^2)-y)\n",
    "\n",
    "for f in [eq1,eq2,eq3,eq4,eq5,eq6]\n",
    "    contour(x, y, f, [0])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x131a4a550>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "source": "julia"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x1278ceb00>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using PyPlot\n",
    "\n",
    "t = collect(0:0.1:2π)\n",
    "x = 16 .*sin.(t).^3\n",
    "y = 13 .*cos.(t)-5.*cos.(2t)-2.*cos.(3t)-4.*cos.(4t)\n",
    "plot(x,y,color=\"#ffc0cb\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</svg>\n"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import Plots\n",
    "\n",
    "f(x) = abs(x) ≤ 1 ? x^4-x^2+6 : 12/(abs(x)+1)\n",
    "g(x) = 1/2*cos(2π*x)+7/2\n",
    "\n",
    "p1 = Plots.plot(size=(500, 250), legend=false, ylim=(0,7))\n",
    "Plots.plot!(p1, f, -10, 10, lw=2.5)\n",
    "Plots.plot!(p1, g, -2, 2, lw=2.5)\n",
    "\n",
    "Plots.plot(p1, aspect_ratio=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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