simple_case.ipynb
190 KB
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"modules/observables.py:26: RuntimeWarning: invalid value encountered in divide\n",
" ampl /= nb\n",
"modules/observables.py:17: RuntimeWarning: invalid value encountered in divide\n",
" return thetacenter, dt/dN\n",
"modules/analytic.py:29: RuntimeWarning: invalid value encountered in arcsin\n",
" delta_ic = arcsin(distSource/lgg*sin(theta))\n",
"/usr/lib64/python2.7/site-packages/matplotlib/scale.py:100: RuntimeWarning: invalid value encountered in less_equal\n",
" a[a <= 0.0] = 1e-300\n"
]
},
{
"data": {
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Hu2yZdv19bdlrqTXUTMWW62/pJ8TnifXbuPy6ruu/JeuanNpIHSkm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\nDMMwjLQwA2IYhmGkhRkQwzAMIy3+H+w2jFAk3JuUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f888c5c1510>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Dk1eeX89Jv7Klmb8qEk2eZLKahFcsh/u4j9nM7nCSu2p3QKcZyaVM8jrNs+hI\nt45bcdjKYzCUMhdWt5gPxJiq9OsniZ7fMldl/PpeD9wM3AQojDHG6ZzOId4hiack7bQadPXANHNZ\nHFMenVR1G69hGDnIqzxcO6mjZWab23PjuNrW4WfQVWAenMEZzGFOsoxey4yUpDx63W2Vd8eWa0WT\n5P8xisMUyBCpil3U5CyWYciZtEU3c9URbQ8jsjcADgWOBN5JMwW7azXhvHF77eakfnZedZi/HHGK\n8Vrl8ViP6GNYVOW72S+l84GIuybIe4ADgM3xt/z+cIQiGsZIcUWPN/tCk5WnwY00ojxybM+F5ESI\neRzVWUqmH+JpSVwKoznWzFVDobQ+EFdGXhGZBZyhqsfF2s0HYkx50vwhzRVHXEdkKY3nwfu2x/zV\n81OHzWEVu3BKLoWRZ4ttt6RlzY1mDE7bwmx00q8PJFGBBPmqlI6d3208q6qZNTpE5GL8FcQfwnxY\nQftCWsGEF6rqVyJ9LgVyBvBvqjoRazcFYkxrmrurorXJsxzmjwLfhn0e24fTOM1PnBgQDwoMcd7A\nvY5hfSuLXgICTXl0zyCd6OcDBwEHJjwOAr6a8zrfBBZGG8SvCfK1oH1n4AgR2cl1svh8Bfh+XHlU\niarYRU3OYkmTszDHbh6FQZCCxKtzsncyG35jQ3gMJpnkaZ6mNl6j5vmPuPKIpkQPj6N/43SjPJKU\nhNMhP9k+JinWZdRU5bvZL2k+kBtV9Zi0k0XksjwX0T5rggAfB94JbC4i26vq/x+/hiudexnSJ0eP\nQ8oiT9LxxMREqeQpy/tZqy1Atdj3Uxdrrvlqy2roMm3rr9UWhO8AhL4BT/2AwElayiSSrny3e3bj\nc3yOn/JTAPZjP/ZhH67d+lqaTEJ9OdQ8/7Du+QF8Na/lh2jQuqk3gtMi0nR1HM6/gEBpTPrXaCqs\nyXbfR92DWpD+XZb4r7W+qBXcWIbv58TExMj/f0yZdO4A0pnS/X3AflpASnczYRnTiY4Icsidw2qR\nt4hlLPN/Ou4P7EaikToaoOdKhZ4VIJiXuMkqK54D2gMDzWTVOwOPAxGRQ0Vk8+D56SLyXRF5c68X\njGCfuGH0QrQ+R7QtoUZ5lMM5nHfwDjgOeDPoEnfac1c1wHieqSj9pirJU1q2KdtibftrjI48cSCn\nq+r/iMje+Gaki4BvFHDtodUEKQtVsYuanMVSpJytrLnSqUhyrEA2ZEOWsAReEcznRWIowkqB0TZa\n41KLMXlHXzh5AAAgAElEQVTp/pCkLcDxa2RGsU92+o3KqEiq8t3slzwKZF3w90DgAlW9DphZwLWH\nUhPEMKpKdEuuLJFIUGDshulakUBPa/x4YGD04cptlXeXVFyJdLMqiRL1dRijJ9MHIiLX468W/gbf\nYvoc8FNV3TX3RQZcE8R8IMZUpM3XEU21HraFuPwf9wIrYPEGi1lw34KOueNp2KNk1e5w+SzykOZP\nCa9ruayGyzDqgRyKv9X2X1T1SRF5JfCZbi5iNUEMozucyiM8jhNtWw+sCB7A7/l9x/B4Ft1ulUF8\nldKLEonPl5SS3ZRGuck0YanqM6r676p6T3D8e1X9z8GLNvWoil3U5CyWbuRsJj4MSdpdFaxEwriO\nulfnau9q3vKPb2kqD2pwGIf5T73kGA+IbJf1Wm0uR3la+pDE1+R1zpfXnNU03QVMxc+8yiQqEBG5\nLevkPGMMw8hHM2Num4M8QXkE7WHOqj/zZz7Mh/kFv2AWsziDM6jX67wo5TeiK9o7bSURdZSn1TqP\n/3X1Z61Y4kkQLZNuOUlLZfIsviU1jS1UdZuMMQPHfCBGFWkrP+tKRRLHsRoJqwPWvBp8D3a7bS6n\n8L/Ziq2aY1xpSZKc4m3yZfS7xheRwj1eq93MWINjkLmw5uY4f62qjnzrrSkQo8yk3QQ7FEdIzsy5\nbQpkLX5Q4Az3WNfN3eXDSDI59aJInH4NL3+shzFYBhZIqKr353iMXHlUiarYRU3OYqnP92/yUTNM\nh68jSk7l0cGLQb/o7koq+hR93oiMjTu2u/VfpMWL5FUeLrNVVT7zqsjZL6WqB5JQC6SjzTCqSNuv\n6vi2XMinOBT4BfBqmsGAUfKkHHG1hU50XZ4+rm187Hl8i26u+iEpqUhsFVJ+SlkPJCGVe0dbpM9M\nWEbpSazVkTeS/AXgOuAOYA7wEah/OWLCcpDXUd5tDY+smI7otcxcVV6GkQvrEyIyu9cLiMjFIvKo\niNwZa18oIr8RkXtE5ORe5zeMURM3tcS3nkLU1xFLQdKx6yrhZvpH4AJ85bEBfuraDXLI5iX7OPLs\nvkpSHtF+l5kr1QdiuaymDHlSmbwcuFVEvh3c9LvVVn3VAplKVMUuanLmI/yfEL8Rxutvy6K4wkgJ\nDHStQn6FX53nj8BLgeOBXbqX15WWxOUDibeT0J7mT8k0ofWoREb9meelKnL2S6YPRFVPFZHTgf8F\nLAK+JiLfxk89sjrH+b3UAhkLa4GIyJx4m+s6Vg/E6oEM4noiUK+7+1WTz6/VoFnxYj84nos4ku0A\nmGACvLN4jjs4BdrqdRA5XnqLX5v8Ii7i3/g33sk7+fSfPs3dX78bgDHGWvNF/BfN2hnBfHXPbwv7\nG+E1tm0d18b9GiDhcd2LmKeC+cLz657/N6wXEpW/rW75thF5guvlrX9S9WOrBxIfKDIGHIO/argJ\neBvwX6qamdZkkLVAgvPNB2KUhvZIcv8g3G6bRTRmI3rOL/klu7BLW9nZkDmsYlfvlFx5pvLEfzRf\nR6TfVa8jj3+jTQZH7XJjtAw8F5aIfBI4GngMuBA4SVXXiMiLgHvoMi9WgH17jMojAvHfLVkG3ppX\nA09Zyh28jcc7+sPI8o5zMkjaaRWv4dGVmSkyvpvU7s3zHTusTHFMLfL4QOYA71XV/6Wq31bVNQCq\nuh6/LnovTLtaIFAdu6jJmY+o8hBxrDziJWUjfaewS1t+qppXYx3ruIu70q/pudvjeaqSlEU8HUl0\nZREtGxudJ+l6WbRF2heUimTUn3leqiJnv+RJprhYVR8QkZeJyDbhI+hL/7YnY7VAjCmDX6cj4Qbp\nKSx3mK/i4/8H/oF/4O/5exwJdFvX8vy/UYd4SFLkeFZsSDhPfXmnEoqPzYtrY4Ex9chTD+TdwJnA\nq/BrebwW+LWqvjHXBQZcCyS4hvlAjKGTnHI9I2dVnPuAfweegS3ZkiUs4Y20/nu5zkkyIWUVfspK\nv+5KQ9KtrwNMYVSFYdQD+RLwduCHqrqbiNSAD+a9gNUCMaYaHYojfN4t64GV+NueFLbbeDv+5dl/\nYTatsCtX7Y54bEfaVtokU1aSEnEpi24d5cb0IY8PZI2q/gl4kYjMUNU6sPuA5ZqSVMUuanK66fRz\n5LxZxn0gIX8GbsbfUvIOWP2Z1bzXe29q7Y4kv0aUuG/D5fOIzyleey6sOGmxHPHng8S+m+UijwJ5\nQkQ2w/+tdJmInAs8PVixDGN05Hb4Jvo9cp4/G/hb4ChgHzr+Nyb5N+KKIG03VZ4I8w5nuuMcZ1tk\nS+4gHOZG+cnjA9kUeBb/630UsDlwmao+Nnjx8mE+EGNQOPNXpdUnTyDVBxKQa2ts0J+VeyrJj5GW\nvr1XzGxVXQZWD6RKmAIxBkFm0p64MklRJN/3vs+GbMg+3j7O/rTgv6TxkO4wj7fH++Lz5HWWp2XQ\nNarFwJIpisjTIvJUwuN/er3gdKYqdtHpLmfT1xGN5YiwdId/pk7Dr0Ue+bv0soSNhL+A4zme67jO\n2Z2lPFxbdqOO9KT06XliQdriR2JxIEm4kkcOi+n+3SwbaQWlNlXVzRIemw9CGBHZVkQuFJGrIm0v\nEZHlInK+iBw5iOsaBjic5OA0U7mixRPbbwOuh4d4iBu4wd95Fb+ul71SiCuIuBII2+JzxZVLlgks\njaQEiLYSmb7kMmGJyDxg+yB+YytgU1VN2lvSv1CR2h8i8kHgcVW9XkSuUNXDHePNhGX0hdNclWCa\ncvkz4m1LLl3CT1b/hBu5EYB38S4+ySdZ6LUlpm7STaxFVor1oomarMx0NbUYRj0QDzgZCPcTzgQu\ny3uBAuqBbA08GDxfl/e6hpGHtlVHr6VkHaxYvYIbuZEN2ZCTOZnP8llu3+H2ZDm8zrakHVXhiiKP\nwz0pmrzbKHNTGoaLPNt4DwbeDTwDoKq/Azbt4hr91gN5iFberDzylpaq2EWni5xOc1VafY4ccR91\nr07dq7OIRbye1/P8R57nK+NfccZ0dC2vl9yWFt+RFhzY1u6wKbTVNSnB6mO6fDerQp4b8vNB4kTA\n90l0cwFVXQk8EWtu1gMJkjOG9UDmiMh5BLU/grFXA4eIyNdJyZc1NjbGokWL8DyPs88+u+0DbDQa\ndtzF8cTERKnkKfpYpIFII6IcGjTD6Dz1n49H0pJM4j+C8RPBvyaTcPnWlzcPJ5jgMR5jfPtxvxzb\nI7TfnCfbj+te+nF0vHqt/uaKZLwVBBiOD2t2hP1p1886Dt+/UHmM+vOrwnFYU6cs8oTHjUaDRYsW\nsXDhwma9kH7IEwfyGWB7/IJSS4FjgctV9dzcF7F6IEYJSN2WG89jlZLbKk9MxyBIq+mRtHU3t18l\n5ueItxlTk4H7QFT1X/BTvf07sCNwejfKI2naPs83jK5I9XM0FYa2t7mex7kHuJ7c3+ikdCLR/qTj\ntAy5rl1c3TjWo1txw5K8pjyMLHL5FFT1P1X1pODxwwKua/VASsxUkrPDSZ7kxwhjPnL6PNaxDn6E\nv53kVuDuFCEi5qC0G3taAaik7bcuh3rPO7JiPpAyKo+p9N2cCowqkNDqgRgDJzGmA/IpjISVx+M8\nzmf4jJ8dTvDzWO3o97lWF2Gt8STiyiGeciTJCV5EvY6okqgvyld21zBC8vhAvgQ8DPxb0HQU8CpV\nPT3XBaweiDECcqUhaTtOTkmy9LKlzSDB+7mfkziJx3iMlwOPjgPbFiNz3loeeefIdc0SrjKM4THw\nXFgicoeq7pLVNkpMgRghnWVlHQkPc+avCgmd5gDP8zx/x9+xfuP1TH50EjbrHJ+n2FN4DNkmrehz\n1xy9mqxMeRgDd6IDz4jIB0RkRvA4Ckvn3hNVsYtWUc7UNCQFUfNqLPQWsvqk1Uye5FYe4LihT7rb\n44WhwF3LI6okilAeoZM8ThU+9yrICNWRs1/yVCQ8EjgH39wEfgkcy0lllIbElOvh8zgZq4+oycpJ\nN2G0KeRdTSStWtK29DoTNEa26BpGEVg6d6OypOavih5D17U7FOU/+U/mMY9N2IRVO6zqO5I8D0mm\nKteY3HPGYjugHFHlxuixeiCYAplOtFW+6yYwMHwe7cO92niWZzmDM7iJm+CNwPvwd1v1Sbc1P7oZ\n03GOQ2mEmPIwQobhAzEKoip20VLL6WnE39GI9Tm25XZEmLf/X4krj0kmOZETfeWxAfAG+lceER9I\nfOttUor2KK5072kkpV2P98cp9eceUAUZoTpy9kvpFYiI7CwiV4rI10XkkFHLY4yGDie5K1LcFceR\n03RV82rUDq5x7AbH8lt+C1sBHwbe5Pf3EmsRJ8kZHtJNJcE0ZIk0H/FkiIZRJHm28b4C+DKwtaou\nFJGdgber6kVDEVDkH4Cfqep/i8h/qOp7HGPMhDWFyYzpCEmK7YiQ5CCveTU/lPU2YBfgQPzCBRn0\napZyje1nS27HvGaiMnIwjDiQG/FTsp+qqruIyAbA7ar6Vz1fVORi4ADgD2GCxaB9Ia3gwgtV9StB\nAavFwF+APVV1b8d8pkCmILkVB+RebURjOkKaDvI1+ClJ3kjXZqskRQLFKYVccpjiMLpgGD6Ql6rq\nlQTFnIL062t7vWBA7hohqvpHVf0YfkGrP/V53ZFSFbvoKOUMlUYuB/m4uJ3lzXHJN9OaV2s+mrur\nNgD9Dj35PJJWIeLRlmOqCFPYoKjC97MKMkJ15OyXPHEgT4vIluGBiLwN+HM/F1XVlUGK9yjNGiHB\ndcIaIX8BPg+8BPjfSXOOjY0xNjbG3LlzmTVrFmNjY8189+GHOerjkLLIk3Qc1jIY1fVF/GNYEPyN\nHXv1SBvtzz1p3bA9YellS9nono0AGGMMgF/wC7iTpn+jOX7b2A1/287+vMcy7j9VD2S/9PnrHtTG\nQZf3dv36fH9V1Xz/Fgn1RfUp+/2swvHExESp5AmPG40Gy5Yt45FHHuG5556jX/KYsN4CfBV/Yf9/\n8N2L71PVX/Z14QJrhJgJq/r0bK6Kt0PbaiRusvojf+QzG32GBzZ5wHeSb9Q+RU9bZhPOyQoUzJNt\nN/PaFtdh9EG/JqzMFYiq/kJE5uPnGxXg7sCMVTT27Z+G9KQ4snJZOdpqXg1W41e1+Qv+Ft0/06FA\nevFXJJ2TVm42fl5mLEgsirxspWaN6UmmD0REXgzsD+wL7Ad8ItgZVTRTvkZIVeyiw5Kzq91V8W27\nnrbKzkZYetnSZl3ycPWxjnW+letSfOWxHXAifrnZgK7iLLoYCy0DW6+rC2hXEtFVR3xcP1Th+1kF\nGaE6cvZLHif6tcA4MAc/C9CmJKaR6wurETJNcCY+dNGs2eFKTSKwvHNHlWuL7uWvurzdjXIUvkct\nKpOXQ54exvZzThRXcKCtOoxR01M6974vWnCNEPOBVIeuTFbg9ncESiQt6WFHvfL/wnc6b9fl9XPQ\nbTqSflKTmNIwimQY23hvFGnuIykEVT1CVV+lqhuq6mtU9ZtB+/dV9fWqun0/BaaM8pG66ujYfhtZ\nZURTkGSkIQlZtcOqzsZ9KUR5JKUaifZnjem14JMpD6Ns5FEgPwGuFpHnCixpOy2pil20SDnzmari\nK4x46VmHCQuYwN9uHI3pqH2hNpSsuUm4lEPd0ZZFtGbHsBRHFb6fVZARqiNnv+SJAzkLeDvwK1Vd\nP2B5jClErqDAKB2JD9sTIMZNVqECafJ74GrgvcAr+5E8mTyrh/iY2ni+ua1eh1E18vhAfgzUVHXd\ncETqHvOBlIvMKPKkCPF4OpJYapLENCRHnuLnsLoBP1/CTvhbMAZEkWVlM69lZitjgAw8DgQ/7rUu\nIt8HXgjaVFX/tdeLGlOTxHrkUbKUR5ISidDmIH8B+C5wR3D8FmJJcorHVZq2V6USDwQ0R7lRJfL4\nQCaBm/Bzk4ZbeAexjXfKUxW7aCFydluP3DF+6WVLqdNoi+loYxK4BF95bAAcDBwUPB8AafEfqcpj\nkkTCtOvNc0eYfr0K388qyAjVkbNf8kSie0OQIxER2Qa/JvvjwP9V1a+MUh6jnZ635SYVforg2mXV\nscNqD+A54FDgZV3K0iV5S8wmjkuJJm+7TrAKsZWIUXYSfSAi8jVV/ZiIXOvoVlV992BFa8qxPzBb\nVS8TkStU9XDHGPOBjIhMBdJF3qo44aqjI6YjzlryGWMLpNc8Vnnqk5sZyxgWA6sHIiJPqepmIrLA\n0a2quqLni3ZXD2RL4Cr8XFmXquoyx3ymQIaMCLn8FW0kVQ4ElnIHb+Nx52k1FmRWFOyFfp3f3Z5v\niQ+NsjHIQMJ7AVS14Xj0rDwCctcDARYBi1X1nfhKp7JUxS6aJmdbQGCvfo5oYGDwSFIeq3ZY5Y/5\nvxDftZvmW4B2n0VWcF8v5D4/JmdZt+tW4ftZBRmhOnL2S9rCf6sgaaLrm97XLqxu6oHg5+LyRORI\nUm4ZVg9ksPVAajVQXRC+guBv5LjNyR30h6anSYK8VQtaxwDLA4UyLkwwwRhjvrkqWu9iHfAd4Ff4\n69JXA0/RTkK9jOYNfrK9ekjeehu91ueIHuti5eyzz2ZsbKy58mg0Gs0aHjD6z7tq388qHE/7eiAi\n8nvgvKQTVXVJXxe2eiCVoWtHeYgrijzweaTWJg95Cl95PID/M+adwJ4krpsHGY+Rl+hW3LjD3ExX\nRtkYZBzII/0qiS6x/1klQgR61snRuh1t7S2HeeYOq98CVwLP4G8efx8wN0Nmr0d5CySuJCyXlTGV\nyRMHMiysHkhJCOXMnXY9ixQHuLM2OcAmwBp8pXECbuWR4QNJwuUPKXKzehjb0XSaL5K2vrJShe9n\nFWSE6sjZL2krkH2HJoVPsx4I8DB+MoojhizDtKcnhZFjB9bSHf7ZX3W4AgJdvBQ4Fj+2o+CfOa6V\nShGrlyTzVX1RvW2MYUwVMnNhDeSiVg+kdPS10nBtz43FeSTmsbrncwPZojto1AO03a9hPg6jagws\nDqRKmALpj56CAR3JDv3n2lptOGg6yUN/iOJvGN8e936/ginS0e4qLZsVJGgYZWIYBaWMgiijXdSt\nPBrthwkVAdueR5RJrkJPnvgpSK4CLsM3YHZLxAcyyIQ7Lke4S1mEz+PHZfzcXVRBzirICNWRs1+G\nnADCKAOFOMZDYjU7fEXSAGJbcj2FoyLHj+LvsnocP03nJv2JkXdV0VM985jjO65ELG+VMV0xE9Y0\npFgFkhHTEc11FT6/HbgeP4fVy/ATIb60QJn6wBUlHl9txJ/HYzzMbGVUBfOBYAqkG/pWHo66HfW4\nyYvAQe4qLbsWuAB/BTIG7I+/AikZltzQmA5MeQUiInsDR+Gb23ZW1b0cYyqhQBqNRjO9wDDpXmk0\naKUpySZUILXwnKxdVY/hBwru1q1cMSZppQ8ZIP0qj1F97t1SBTmrICNUR84p70RX1f9W1Y8A1wHL\nRixOpUgMBMyzbTZlzFLu8As9BY+u596S/pVHhCIc6FG/Rry9zMF/hjFKRhUHkjude6TvSuBYVX3G\nMV8lViDDJExF0nO9DteYrNrkcZPVWmA9pTRRhaTlrjKMqU4lTVgiMg94GrgkkkxxBnA3fgT874Bb\ngSNU9ddBVcLTVPXDCfOZAonQd1BgmkKJBAV2FHqKOsz/jL9Fdwv8PFYl+xGf11luisSYylTShKWq\nK4EnYs3NdO6qugYI07mDn9Ti4iGKOBAGvTc8V+6qLBNTZBtuSJvJKikVSVR53Iufx/kh4EH8nwqD\noMdcWODemjsoU1VVYgKqIGcVZITqyNkvZYoD2Rr/dhPyEH7F61x12ad7PZCwXoevQMLrLQivCOM1\nv/5GVEGE22w7xk+0+oGNvLOYAMYYC3onuGvru4IxCuPiP9YHU/04mGY74L34yWr+RE/1NFKPyehP\nOK7Pr1NbVkOX+auLRqOBLJLE4zAZYrQf+quvUsbjkLLIU+XjaV8PZNA46oEcAiy0eiDdU9jWXDJK\nyyaZrMK/PwF+gG+uWgDMo1TbNJJSj5iZypiuDLIeyLCZ8unci6RIpRH1eSSWlmVO7PyY8vAUThXf\nfLUX8Lo+5RsArtQjhmH0Tol+H7bSuYvITPx07t8bsUyFUoRdtMPPkTeTbTx/VYqjfIIJaixor9Xh\n7Rqcq7Ho8sjfDYAPkqg8Cs9XlcMH4spTNezdVlWxh1dBzirICNWRs19GokCCdO63ADuKyIMicoyq\nrgU+hm8EuQu4UlV/PQr5yopTcWRtwW2OzzHOpYxc56VdO+U6w64YmOQYtxWIYRRD6SPR8zCVfSBd\nmaryxHTESEq93uHvgIi56uew3e7wfmCjri43UFw5qVx9rrxV5gsxpiOVjAMpmqmoQOKBgLmCAl04\n0q1HlYwzjxVzOIVdOgIIUXxD443AOnwn+Tt7kGkAJMV1RDElYRjtVDIOZLqS1y4aKoqowugpRqGp\nAFpKYKn3S2cakhoLmn6PU8Z37SgSxfPA1fhZdNcBuwPv6F6kQv0gk52Fm9IUxKiUR1Xs4VWQswoy\nQnXk7BdTICUiutroILevI0HRBOe7dlm1FXpyXe9z4mfQvRPfUf5e4MDgeZcU7QdxmaysPodhDAcz\nYZWIQut0RHGkXm9mzk0aH+da4AH8vXFbpV1Lk5VYl3QTHW61OAyje8wHQrUVSO6kh3FyOMxTa5NH\nFUjcXBVvA1iDH2m+tAsFUaAyiWKOcMMohinvAxGfL4vIuSJy9Kjl6Ycku2hvzvHsG2VibXLmtMrQ\nxhWRF6QlibMBsCHdKYSMsdEU6qFvpK3NUV88uioJ38+yK4+q2MOrIGcVZITqyNkvpVcgwN/i58l6\ngSkUmV64uSrlZt10kAcPf4dVQgzHb4DlF7S3FUzcZyFLpOkbaWsLHtHxUZNWbVmt2R6vIGgYxuAp\nfT0QETkZeFxVLxCRq1T1/Y75KmHCCs1V0WMnjrKxeUjKY9WsTR7ODZ2rjnXAj/DDO9kOTlntrzic\n8mn7PD2aqdLiNVxjXYrCtuoaRu9U1YT1TWBhtCGoB/K1oH1n4AgR2Ql/1fFkMGzdMIUcBGEqktQV\niCNHVR6cO6yiOaxcMSEA/wMsx1ceAvzN6vYiUHE54mlReiS+oogTNWdF/Rxp57mUkmEYg6EK9UCu\nBvYTkXOBFcOVtHfiCqI9zXoGOW/KSaVl22I6vF3dq5nmNX4E/7qVX6N8M2AR8Cp8RZLkUG/O0f8v\n/bivIykYML4C0cVKfX5CbRJGF/Phoir28CrIWQUZoTpy9kuZsvE664Go6rPAcVknl7EeiMiCQLpG\nTNrwON4fHHv1oC2hf1xgeZ3QRT4R1O8YY8xfcQT9zRv8uPiJB5tKpOFfw6vBIfvCvwOvBI4CNsVP\nyw4txZFUXyOhP1pvQ5ZIZn2OsN5G/HzwFUqoKEKlUJ9fb/sPWqZ6C65jqwcy/Y6tHsiAmer1QAYW\n0xGhGdOR5uOIb9F1+S68a+ELB7nXo3l9HMG4tBrjaWantBodri27hmH0T1V9IC4qXw8kmoJENSGi\nPKQH30GSyardNKXJpqe2GiBRk9aByd+EHhI0Qn4fRFoCxPDYlIdhlJMyKZApUQ8kGhjYuQpptJ72\ncFPOdJJHacuDpX4iRO/O9usnKbHJ2HGuFUjnqiMkK04j2u+K/UiiKnZmk7M4qiAjVEfOfhmJDySo\nBzIf2FJEHgS+oKrfFJGwHsgM4KKq1ANxO8xzkvALP7W0rCsNSYfpKrrSeBKWHALsDh9+PvncRBnT\nzVjR3VGuvpC0iPGk7bhxx7lhGOXBUpkUcv3i53SlWYdIqvWQLB/HI8C3gcfx4zqevx68A9IvHt+1\n5bhGkt/C5f+Ijokeg5mlDGOUTKWa6JWm53odGWQmPeyI0QiViMJtwA3AWuDlwKP3gLdD+9hwnui5\n0TK1KTEgSTf+NOd51srDMIzqUCYfSKXJpzwaiT2JDvIo8TrkSWM8BR7xCz+tBTgOHv0LsL1jbFx5\naLCNOD6fmzSzVdKOqrQ5ugkArIqd2eQsjirICNWRs19sBVIARaw+Eh3kbaYkx9+OnVZRM9a34W8P\nhbELgQvdF3atOiZb7bpYEZJv+lkrjChJZqs0c5aZuAyjvJgPpDAZ+js/V52OJBKjzImtLBLyV+V0\nkuetOR72ZeWtMgxjtFg9EEavQHpRHomJD5N2WCWlI/EUv1jHi4HIKqJfoisQyYhpIV1h2MrCMMrJ\nVAokdCIiC0RkpYh8Q0Tmj1qe/mg0n3UV0xHi8kV8UuBVM4HzO1cVrr+uueJ9k0EgZGieciikuN8i\nbbXh8oEUoTyqYmc2OYujCjJCdeTslyr4QNYDT+FvQq1UZHpIuNqYYIKxWF+mySrVYX4tcDTwBGx5\nIngvuKPPM+ZVBVnS6qovajnRXVtyozU7ulUEtuowjKlDFeqBiKqqiLwM+FdV/YBjvlKbsHLHdCQR\nj8lYB9wE3BwOOBA/H/uczvOaz5O27Lb8H/HYjpCsPFXx8YZhVIN+TVio6tAfwDxgN+DOSNsM4F5g\nLn4B1Qlgp0j/TOCqhPl0lIAqHtrKgNX+qFPXOvXE/o7zw+eJc56ogMIMZV+UL9B5TtK5Hs2Hqjb/\nhs/jx4mvOaXPMIxqENw7e76Xlykb79uBxaq6MDj+XDD0bmA/YBbwdVX9sWMuHdXr8K/ffpzsIAdY\nkJzUMG03FURWDXfDlq+Hx1YA72gfn1b8CZpO8biDvM3pvUhgW3d6kXCOMtBoNJopq8uMyVkcVZAR\nqiPnVIpET6oH8s/Ad7NOHmU9kHi9jo24iQn8+hzg1+u4i82A7fxhk8E5zTTswfnR+h1hPY8wLmN5\nJLhv/PV+csTXzY/MFxCOB7++RjB/vQ61FTVfeYy3amzgCbKo3e9x1thZfGriU4C7HkdZ6huElEWe\npGOrBzL9jq0eyICpcj2QhjRyjUt0kPeSIj3vOWkxII6aHSFpiQ7jY5LabGuuYVSLqbSNt/L1QKI0\nt+T2FZPxE+Af8JcbXeBIgqiLk5VHs592R3pWQsToefHnhmFMA/pxoPTzwHeWR53oLwZWB+0ziTnR\nM9ikjAkAAAo+SURBVObq2YlUBLkc46iS5kj3Io5w1iv7ofDiwFl+RaqTPstBHm13Oc/jx4yT2l8W\n6vX6qEXIhclZHFWQUbU6ctKnE30kK5CgHsgtwI4i8qCIHKOqa4GwHshdwJVakXogiXRjpmqO/TPw\nfv9dYC28DTjtcPdcYQ6rtq25bsd3iKu2RjwFe31R3dKQGIaRiaUyKeT6fU4Q+ic+IXDu9vi7mTcH\nLgYOaR+TQbijCvqLAC/bjivDMIrHcmFRUQXiVAjPwis2gUd2Bb5DR/r16LmQuCpx3fS7dY4bhjH1\nmUpO9GqTK4VII9KvnSYoNoZHHsJ3nm/fPk+KqUrV71dNXjF0ozzi2zrj48tCmpxlwuQsjirICNWR\ns1/KFAdSbZKSFaauFlw39a1b50UVhae+ecprHx0uvHpdQWRt3XWNNwzDADNhFXT9LgY3TVfXAPvg\n+zqSxjjaIn15XrLFaRiGkYSZsMpErpKzzwF/BxwMHAeLHWOTlAeReI7IEFkiqbEbrufRcw3DMHqh\nEgpERF4iIreKyAGjliUXifmsrgD2Br4OzIT9r4Il6x2+ENrPz1hx6GJNXVmkKQnXeVWx35qcxVIF\nOasgI1RHzn6phAIBPgtcOWohMkn1c1wLHAf8HD9W8ma4QYGIr8MRQe6aM/RbuBRDVrS4YRhGUVSh\nHsjf4Be62Aj4k6pe75hv9D6QxHKzIScA5wMH4dfumJ0ylq59HZDt4zAfiGEYUSoZByIi84CngUu0\nlUxxBn7q9n3x82LdChwBHAW8BNgZeBY4OK4tSqFA0vAEvGeBy4Bj6GbhNwX2OBiGUVIq6URX1ZXA\nE7HmvwbuVdX7VXUNvsPgPap6mqp+CrgcOH+kmqIbOsxQGwHbgTcD6FQM0axWo6Yq9luTs1iqIGcV\nZITqyNkvZYoDcdYDCQ9UdXnayaOsB1Kvt47Xr1/Pd7/7Xbbcss6CQBlEv0wLFiiN+Q0aDVBtzddo\nuOcbhvzxY6tfUeyxvZ/T79jqgQyYKtcDSeJPf/oTH/zgB7n33nv5+c9/zhZbbDFqkQzDMBKppAkr\ngUrXA1m1ahVvfvObufHGG3niiSe45557Ri2SYRjGQCmTAvk5sIOIzBWRmcBhwPdGLFMmqso555zD\nvHnzePDBB3n729/O7bffzu67794xNm4qKCsmZ7GYnMVRBRmhOnL2i9UD6ZMf//jH/P3f/z1r167l\nU5/6FI1Gg9e85jXZJxqGYVQcy4VVAJ/97GfZY489OOSQQ0Ymg2EYRrdUMg6kaEatQAzDMKrIVHKi\nT3mqYhc1OYvF5CyOKsgI1ZGzX0yBGIZhGD1hJizDMIxpipmwDMMwjJFQegUiIm8QkW+IyFUicuKo\n5emHqthFTc5iMTmLowoyQnXk7JfSKxBV/Y2qfgQ/sHCvUcvTD2FOpLJjchaLyVkcVZARqiNnv4wq\nkPBiEXlURO6MtS8Ukd+IyD0icnKk/SDgOuCGYctaJE8++eSoRciFyVksJmdxVEFGqI6c/TKqFcg3\ngYXRhqAeyNeC9p2BI0RkJwBVvVZV98evDVIIvSwx085x9RWxjO12jqzxJmd3c4xCzmF8N3u9Tr/n\nV+H/UNY5013OKKWvByIi80XkHBE5D+ioRtgro/iw7r///kKv2ct4kzP9ut2OH4Sco1IgZZRzFJ95\n1jlTSc5+KVM69/cB+/Wazn2AohqGYUxZ+tnGW6aCUj0rgX7eAMMwDKM3yrQLq9L1QAzDMKYbZVIg\nlawHYhiGMV2xeiCGYRhGT0yJXFiGYRjG8CmTCcswDMOoEFNagYjPl0XkXBE5etTyJCEiC0RkZZDz\na/6o5UlCRF4iIreKyAGjliWJquROE5H3iMj5InKFiPzNqOVJQkS2FZELReSqUcviIvhOLg/eyyNH\nLU8SZX8fQ7r9Xk5pBQL8LbA18ALl3tG1HngK2JByy/lZ4MpRC5FGVXKnqep/qOqHgRPxZS0lqjqp\nqseNWo4U3gt8O3gv3z1qYZKowPsIdP+9rIQC6TZ3VoQdgZtV9STgIyWWc2WQquVzwJIyyhj8GrkL\n+OMg5etXzmDM0HKn9SNnwGn4KXwGSgFyDo0uZd0aeDB4vq7Eco6MHuXM971U1dI/gHnAbsCdkbYZ\nwL3AXGADYALYCfggcBbwKvzcWe8Pxl9RVjkjY2cCV5VRRuBLwfMfANcQbMAom5yxOa4r62cOCPAV\n4J2DlrGg7+ZAv5d9yPoB4IBgzLeGJWO3co7ifezx/ezqeznUF9LnmzA39ga8Hbgxcvw54HOxczYG\nLgTOBT5SYjkPBs7Dz//1jjLKGOkbB/Yv8Xs5HzgneD/L/Jl/Aj/26RvACSWWc07wXt4DnDwMObuR\nFdgEuBj4OnDEsOTrQc6RvI89yPnxbr6XZUpl0i3RpSv4voM9ogNU9Vlg1HbHPHJ+F/juMIWKkSlj\niKouH4pEbvK8lyuAFcMUykEeOc/F/2EzSvLI+Ti+PXzUOGVV1b8Ax45GJCdJcpblfQxJkvPjwFfz\nTlIJH0gCVQlgqYKcVZARTM6iqYqcUB1Zp5WcVVYgVcmdVQU5qyAjmJxFUxU5oTqyTis5q6xAqpI7\nqwpyVkFGMDmLpipyQnVknV5yDtuZ06MD6FvAw8Dz+Ha7Y4L2dwF34+8mOMXknBoympzTV84qyWpy\nquXCMgzDMHqjyiYswzAMY4SYAjEMwzB6whSIYRiG0ROmQAzDMIyeMAViGIZh9IQpEMMwDKMnTIEY\nhmEYPWEKxDAMw+gJUyCGYRhGT5gCMYwMxOcEETleRLaLtM8VkWdF5LaE8zwR+XSP19xIRCZE5HkR\nmdOr7IYxSEyBGEY2nwR+CtSB98X67lXVNyec13OeIFV9TlXH8HMYGUYpMQViGCmIyAbAgao6AbwW\n2CJj/KkicreIrAReH+v7gIj8VERuF5HzRORFQfvpQW3qlSJyea+rFsMYNqZADCOdfYCnRGQc+Ajt\nVdzaEJG34KfF3hXYH3grwSpERHYCDgX2VNXdgHXAUSLyVuC9wC742VF3pzpFiYxpTpVL2hrGMHg7\ncJGqXici7wd+kjJ2HnC1qj4HPCci3wMk6Hsn8Bbg5yICsBHwKH6t7GtU9QXgBRG5NnKOYZQaUyCG\nkc4rgftEZEPglYEpKwml/eYvtK8mlqvq56MniMgnHecYRiUwE5ZhpPMYfiGe9wL/mjH2x8DfBjuo\nNgMOjPT9CHifiGwFICJzRGQb4GbgIBHZUEQ2BQ7ATFhGRbAViGGk8y185fG0qn4jbaCq3i4iVwK/\nBP4A/CzS92sROQ34z8B5vgb4qKr+LDB13YFv0roT+PNgXophFItVJDSMHhGRucC1qvqmPud5iao+\nIyKbACuA40NTmYhMAm9R1cf7ldcwisZMWIbRO2uBLZICCbvgfBG5HfgF8B1VnRCRjUVkAt9KsL5f\nQQ1jENgKxDAMw+gJW4EYhmEYPWEKxDAMw+gJUyCGYRhGT5gCMQzDMHrCFIhhGIbRE6ZADMMwjJ4w\nBWIYhmH0xP8DBpnv4KaoIjYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f886cdc2890>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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lNuU+12CfG3KIsUgEchG8fQywZXytP4e9gd8787rj56m5QmVuvQ2Jwu7CZzMn\n2VDL19cdx8dEimw3ZRlE6p6EbHzuHNamWK4LcN7+JJWNpH+x0jGSfrORGCgFY8eOTRfe+MFg+w03\n3BBuhz1u2IPrrrtOF24GT35Ch9Rst13E6+MC4kEr2DKnTptm2GuLvfRBbOw/+OCDG67CdbQnFqQZ\nyceBL1jjrxEvPvuiXc92hIMjkPuB2JCfWuTfBWwCJ0/zv3kXGZ1DbrEuY0m1Px9W/BnmAbxDh85c\nS/7iGnK9daUeH60+aUdF6T3kfUwlxBDy7CYufDS79JVBO6qvvFTydnmZ+BG7rMrFVYzKRuJBP9pI\nbCiV/mNPnjyZhx56iJ122ol773UjAbO466672PWCXeFC2Hnnnfnd7wbQxogeIEKvrIto+ABPRvvm\n/l/c5gPA7cI0FNcBfJaGxfxi4M9oI8lm5fTubhvfOfgN23mLrI2QLcGUvRhp7+d/+xrIfxS/ybvj\nho6bsbe48+RFyOeps3xMoxV7SqvIkzbcdpBlBJ1QV1W2Ez8qG8koxuOPPw5oplAmgHLXH+7Kgs/p\nN9Px48fzqU+N0xUfh+XLl/Paa69x6qmn6mBBQPsnfTYzzmc/+9k4EOWd2Unei07sD2h3gBhP0Ii+\nj/9uQ+8c0mlaYnz1duCjius2ReuDNrLG/Rw6qHKTeIhIf5dVodgL3e8i4K/5TMZnuzDlRWomm6YJ\nwFcBxvqlmjx7iE8a8amOytBte6D5pBO3j0/l5iv3MZ5mfpNmUJaJ+PaGt5lL0ThlN9Kq0DlUjKQH\nUKru/XO/+eabgE4uufvuuxeO8+jJjzL1Ar1o3H777fzkJz/RFavB+NPGs+aaa+gI1YcFEWHFile4\n6KLBzDiXXXYZ/BneeOMRrXY6yKpcAfzfy8BjcOQvG+U/ROcZgJhBXE3t3TXYER24CJzG6XAn2jD+\nPuBs56Edoz+ueimBpWPPe0PeeX3gDG23MGjlDT9vETXj1a36zBv+YTqrjI8pFM0XOvfdG1eNN/Wh\nWQxFfnfhe0mnWvEx0JD05R67KPQYK2kjCcEnsdhuwd7Nsjw8w67vRzV3P9LULipG0gPUanD5tpms\n9+y0005MnTqV448/ng033JD3vve9ueOsscYaDanAxk9/yrKvLGPBgtu466679AOnFGP+fQwzZ+rA\nj5kzHQ+vZbD66asjc4QHLe3YtHdNg2g9iAZgNWee2EngimsA/g7eGT+0JrZk/1n8zVaxAeUtsnux\nxMhTv5h3Xdi9AAAgAElEQVSy0GL2fISOWxkHO3zNLyXkzVfU1qVhaLq/nNdgo8u1iUjtrMNtXFWR\nLUUU0eNjhD7VHTRykoWkE8NUTr/s9FRfr3OBVV8kcRV5gdXm0RaK0s3bkklSFhAwKvtIb1Exkh5g\n6Oah2PMqja9//ev89re/5d0ffTdf+tKXeODtB8KD7AubbropV/3dVTqTr8EuIHIQzz77LFOnTmW3\n3XZj/r7zG0/YR48BjKG/wTFuOuUmiISHH36YbT/SGO66697SD2sk4D6k44CPwGcOBHgKloBSS+G2\n/0/Xj4E7lsRZI03A4tvASzSi3Q0iQZ0A6hDgt/CrCO+OjQZmEdvwiLhgY7T7r1VfVsdvSw0hlVhS\ntnW6zPR581vw3L4xDb+D9daFXwZodo/tOX3qL1+/1P3YutFn1mcb7sIuUzHxKO5cLo1Fhngzv0uj\nez7oH6YtGJuGq9ryGdR9Xl39kHPPRT/S1C4qRjKC2GGHHQD4xDaf0AUP+dtde+21yK/0plhf/OIX\nk5gKgPe+9l6UepStzt4qKfvQDz+UPIDfmabzoJx//liIDtJeUGibigiccsopOruvwYRfceyxx8Kh\nCjaBFSssEegtdNubgb95p85K/NGJLF9+NvBX2BXNbIBr58Z9nkdnTXMFskjp9CtXAtfDR7ZtVGUW\nt9fh2gh4hAZD2sB/r2xpwIfQghha9E0fe1wV6YB9PgQcDbsB/EVblE5z2rv0hN76Q4u871rsPnad\nYSq2yit0TaHxQ7arEH1Fc7QCn3rLhiul+I7Ljl2hM6gYSZdhb8DjwizSN998c+4YBxwQx1dHijUe\neyxV98ADD3DMMWekf0nrWTnggAO48sorufvuf9ZSRhwYuP/+/42arRg3blxqvIP3PZjvfve7OpXJ\nN2HMbp6/yFjgjqP18RhtnyFaC8bBgTvo9C0HfDp+sGP12AZvbwDRm+mHfXVrzDUI6thv/macTfgm\nGoxkor8t5C9o9oLo86qyIVGaJp8dQb4Xx5R+GBgHQ2SZiDuncupMuaty8xnGJQI1PUtziHnWohq1\nSKu5fNfnU1flMVW7XaasTRsJFDMDX7BingHetUf4XI3LGPA7icpGMgrQb3Ek5o87f/58Dj/8cH76\n058mdYaR/OUvf0n1Of7447njjjt417vexQ477MB9xPEmkbDGLrtk5lhttdV45ksNMeXWI29NMq5+\n61vf4pB/PoRdvr0LIrD99tvHrbaGGg2DfYyrrrqqcfI6OmjSxQs7wc4XxBeIVl29pK/1H/5B7wbI\nAlCRil/dYenSpbDVaukH1mUkAezzBf296VNxu41Je4TFCKleQtKJa4x2x1FRYx95u48rnYwD7aX2\nBdgzCs/no8c1htvHrhRg5rNtET7aVJRNBDn1oakphuKq13xjheBjvN2SRuxyn+HdVn35+g7NzUpn\nBjZTWlW9uToVR7JSMpJ+00EODg6y1157cemll3LQQQexzTbbALDNd7bxtt9oo43YbbfdeOSRR7jv\nvvvYIbZ3iMQGdwfjx49P7Xuy58V7opR+uC+af5HOyfUILFiwgPvvv5VbbrmFFStO1SqqUthFq5KM\nt/Cm98Lv4uOX0KqrS0GpOEgRdMyIImXHSB1Hkjbm//a09I6NNuIdGZ9R6AyNn0enRrGQZ6D3qap8\ni7nPOD7ojOWqolJSxZn+cY2tqWjB9qmrfIxuKMq2dcfZiYZnl207ce0mPjrscfKYcAb5ia4zYxe2\ncQ3rBQu+l5k0QVOv0E/r0+DgYMVIRhvU3yqOO+44nn5ap47/w+f/4H2LuvXWW5Pj5cuXs3TpUpYv\n1y5T73iHDtz4/ve/n0gXr7zyCqut1liVbzvqNkT0g3Xw9vHC/lv44Ac/CNEE9vrVXpngyFx8+G5Y\nKjrxInDIXoc06uJpt1pb22jGjYut7GZ4m3kYLVok2kZiM5KPfTU5zCwgX0dLIkIw11fIBpCMEYXf\n/u32PhtByLPJt/B7F+jr4s9yP32+N/wiqSZEj09SMLYTA6Puuic6PdPP1z+oysqhswgZ5l4iaj3k\nyeXL0+XbkbFC9zBqGIlSamul1A+UUj8pbt1fMKq2Kc9P4bzzzuOVV3QOkTvvvBMZFm2TAJ1HC7ju\nrut4+WWd2ve+++5j4sSJ7LbbbgAJA3jhhRd48cUXAbjwigtZb731ePnll3nuuefYeeedk7ndtCzm\nra4Z9V+0d6QX/jf0+ZVPXtmoXEd/Pf784xApXn01ZiTmn+WTSIxbcGww3xi0J9oitDeXJ7kfa8Un\nr5ajueit3q4LGdehYY+w+/vUTqbcXVgfj2DcbcAC2OY0WEB2EXYlHHdMFzWnvasKCzFVn6uw28cn\nLeXeH7tuUaPehzymU2SjsNVXoezAblmz//NeoR9pahejhpGIyCIROXKk6WgH7qL+5z//GWgwh0Sq\neA4m7DcBlGLOnDkA3HvvvajZikMPPRSARYsWcd111zFt2jTuu/U+QCeI3HDDDRk/fnw8Lt6tfn0P\n7UEHHZQpM4iiCBkW3r7ube6++25Y8EZSt3RubP3+K/AwrP31WA81Bi15/Ic0Ah7H6bLEvfjDQARL\nIvReuPNqwdgTJqPVWeP81TbKeByZdj4JJOS5FELITgGwVQRvzdTxmX8CPqjgXwHeyqrGXFptacFu\nZ8e2qCjbzi03sHN3GbjG+Dw7ju96fSirYmwGPoN4SvpQ5EoglbdWd9FzRqKUulgp9axS6j6nfJpS\n6gGl1ENKqS/3mq5uwuhEn38+nerXLPKff+jzXH/99ZxwwglJ3Y6v7wgi/PWvjXS7Miy89ZZ+4x8/\nfjw77rgj1157beJGDKTFfIErr2xID6ecckoyjqunXXvttcMXEJtlxo4do6WdaHWM7mqDMx0/3Nhb\neP211k8xhTXXXJMjdz+yQaPNMKL44bdSp7uQ36L3tHe8tcqqhOx6ny3EZ5tQEbmxLXmeVmZMALlI\nbzrJnoCgY8/radVYkQE+Nce87HXkqfF8Y+bFnJRRb3nv89atq7rKwpVMkjJjh3IYjvmf95OKq59s\nJJ3CSEgklwDT7AKl1Fj0FhDT0C9vhymltlNK/aNSao5SavMRoLPjMLm1DP71Jr0doHxb2G+//dhx\nxx2TuocffhiAPffcE4BJkyYBJLYS123XwHWP/Nzn9Pa8p5xyCt9a81uph8y2q1x66aVstdVWPP/8\n8/zyl79MD/r6DqgjFWY3RxkWVltNSz22q/GNR9wI37oW1oQXJ2m1G5FCfgavnfIaP3jnD/w3JiSF\nJPWiF8TX0eqTFxpVPhtFaFG164skkZB6yDeWT9XjLubvAORWnUmYLeGFW9Lzu3O7hnRXreb2sc/d\ndi6tkA5kNDDSyX9OTksnPvjUXb7yTiOUKiWhwzHIV5mAe4OeMxIRmY9OcmHjA8DDIvKYiCxHb+F9\noIhcKiInishipdQGSqnzgSmjTWIxOtGPfvSjqfIz9j8jdb61tb+7UXcdf/zxzJs3j9tvvx0gkUjO\nO+88Tj75ZF566aVGH8/DcuGF+hV+3XXXTb3N1et1Xn75Zf70pz8lXhuPj3+ciRMnaub1BdARhwC/\nhx/COedckTzIb775M50P8rTlmGRbmjHdBa/BrE/MSlRYqcUlsiKVI2chiG0kNiQiYTQ3fhOdgfgX\n6W55hvbQW31RX9OuFvmZjT1WkaHfpmOvCOTPMDHKt2nkGrOd2JaQwd+VclxVnjn2SScusy2lzupA\nHEkz8OXgykS6G7tNH6m8KhtJ9zAJnV/W4Mm4LIGILBWRY0Rksoh8MzTQjBkziKKIKIo4++yzUz9a\nvV4f0fMvfvGLKVofffTRVP2iRY0nUSm92N9666380z/9E5tvvjn1ep0HHmikUTnrrLMa6ioRvrvR\ndxPDvZn/M5/RY44dO1Ynj5zR0CMvWLCAp556iujBSHdYpvusscYayByBvT+foveEr51AbZ9azAQ+\nRu3IGrXaLbD5bwBtxznqKG33Of3m01EzFEyPH9RIdGDmIuutcrpKLz7z5ugyw0wWgYrtATIs7LtP\n3G5NkvqUgbfEuRnP7e+em4VxaP9GdS0uSxjI9LgsHt/Um/M6eOlJFmWHvp9HekyzcNdJ01unMZ/p\nb5/XrP4SNeiz6bWvrxZ/vhIngRyaPsRCFsZj1ZgTzWHmRTOD9Gbu3zNZ+kL3txPn5v9kUK/Xqe1T\nazCHRTBnypxUvZqhMu3t835aL7p5Xq/XmTFjRrJetosR2Y9EKTUAXCMiO8bnBwPTRGRmfH44sLuI\nHNfkuH29HwnArrvuqg3WwC9+8Qs+8YlPcMopp3DWWWdx+umn8+Uva2Frs802Y/HixZn+N9xwAz//\n+c/5/ve/D8CRRx7JRRddhBpW8O+6zcMPP8y7361zyZ988smcddZZfOtb3+KU105pGCgVDb3y3yu4\nGqZMmcLCv1/YaHOwgkb8JNtvvz2///3vAXjkkUdYtmwZAwMDrL32h9CBJXfy7W//mpNOOokTTjiB\ns88+W49zkoI5D6INDuMRid8E/4rW9YyDpVcvZYPvbNBwDfZgbgQzQO8N7/ENcN+cbRsE5L9V223L\nqGd8b/d5fd02Lm3LgdU2A9aAJx6FLayxDe2h6wjNW3QtvvrTL8vuGT+UY7sqg7L3tK05cvZ1932H\n+qyqWFn2I3kK7bdjsAVaKmka/RbZ7mKrrbZKjjfYoGGoXrFiRZJWHjQD8Ind++23H9/73vcy5Sui\nRk4sm5m+/bZOzTt27Ni0/731DP3Tev8EwMKFCyH6CUodqyWXq0RH32+n2xl7i5qteM+H38MOO+zA\nXXfdBf/2O1599VVgCiedpG0n55yzvDHBJaB3a38SolgaiYTztjpP5xeZD0uWaPsLUUMiSal1lsIM\nc+vGZy5f0xX5z4sWU9PGXdxDbX2GensMu31ofJe21f4FJj4NPApbrA7cAyuirB0mT43mswc1Y+cA\nSzrx2E58aVbKoFdMJOTV5fsuu9viyo76ShbZficwWSk1oJRaDfg0GU14OfRjZLvN2Gx3XJMi5fLL\ndUbDefPm8Xd/93dMnjyZ/fffv6k3plCA4RFHHMGVV17Jxz/+8SBN3/jGN9h1112Byzn22JuB78I8\nUHsplFIs+90yOBK+8IUvaElmWBLvrHHjxiH/Iay11lqIjOX88/UqP3OmxUgMfzz2XY1rihTHXnds\n0uS9578XolpKIkktQI8CxlfBw0iKvIXKLGZexmOpclwmYDOWZryVvAxvE7gf9I6TbwA/gzHbAX/N\n2kts9VGeh1aozD330S5R2LMriB7bSAzc2BLbblKv10sziF5JKP30ojtqI9uVUpcDvwG2UUo9oZQ6\nQkTeAo4Frgf+APyPiPyx17T1AieffHJybBjJk09q4evRRx/l6quv5k9/+pOVE6s97LTTThx88MFJ\nWhYb5gGbNGmSDo6Uz3Deeecl9Vs9uRVqtmL11VdHLhLGjBmTqKX+ZjO978i4ceMaD6pSHFPXaesv\nuvaixgP9Wjzged9IE+AGK04fyrgFJ0Z5m3ms36hPriUi1a8sQm/tRS6wrlQRkn7KqskANo1gxZ+A\nA9FR/38EHsyOY/YjCc1n05rXzj12meWsz2alk1JuwB406xbcTHtXwnAllLwtfldFKaQbGAmvrcNE\nZHMRWV1EthCRS+Lya0VkWxF5j4i0JkPTn6otW0KaOnVqcm4YibF3nHrqqZx66qnJuYEJuLIxYYLO\nCDxxYk4aXPDuIGdoKnoDc92Vbdxxh9535Kmnnmo8uAisFzd4y6dCWD89iM1IzlqazosUWYuBlfyR\n96J9/KDQbbhoMSrjdSXzGm1DqqUQ8uw1ofIxEbAzOp/Y3vo4Y3/ZOt8WY89t+rrSk+/ehFR0Nuqk\n1VwpOnLyWjWr3mrqPltSiMs0hm4eCkorMDJ2kn7SmHRKtTUixvZuYTQY2wH23XdfbrrpJn71q1+x\n7777AjoD8MMPP8yuu+7KzjvvnBjkQ3jwwQd59NFH2WabbRLDulFvPfLII7zrXe9K2tqG9SK4KjJz\nP5OHL9LBX6bdr4G9sQLCjlJwEey2227ccccdKAXfRvHTvfbi+uuvZ60z1krGvuK9V/CZz3wmPnsT\nkfEJvTaTkGFBHa7gMth///25/vrrsgGNRbEobaAVA7xb1ozBOc+QX2ackItzGaeDEDpphO+F8T2Z\nK2BkL5uHa1XJ17WyGNtXatgS0rx587jpppsAeOaZRur3ddddN7GfpDaTCmDbbbflgAMOSJgI6FTt\nzz33XMqgD34mUkZ3vP76DQnCSBdmrAULFnD++efzIXfwi7QrcBIwGSlOiuCWj9zCWmeslXooP3PN\nZxr9otVQM1RDArHmVIpEIrn++teyTCNqMLnUdyeQo/fPs5H4JIM8uKooA2//22nYnQJ97I9Niysl\n5c1tl/nUXBkjfOBeha6pF7CfPTuOKmSgd9ENJtJvGpNOoGIkPYYdK2KCCw18jKSZJL3rr78+G264\nYSanVxCeBXeddXQWxqOOOirJBWbDPHhTr5vKMcfoza2M3UTNVnCEDk4cN25cYphvGNid+S4TiNCf\nGHagYkqlN/dPsD189at751yPals68RmhQwZrn40kz0U3DyGGY6uiJAJ1AnADcAHwZLm3e59zgG/O\nPGO9jTwjfJ7KbCRg9iNx1V8Gq4K00QtUjKQHsHWiNpNwEyouW7YM0Bl/DVrR1PneslyGNDg46B17\nv/32Y9y4cUybNs2bfyvlQil63BTDsL25JNsvhSi9H7fMlYZEEkmiRhMBom3gU3Da+NPyH/6Q+7B7\nHYE6V6Vk6/2LPKDyFsxWbSuudMFytKnpBRjzA1Afgjes9mUcB5qZ34egdDKvkV6laO5maWoZOXab\nsui0Qb6fbCSdwkrHSPrR2G7j3HPPTY5DjMSHZv7M3hxEZRiSUlx55ZUsX76cgw46KGE+ybePBuvt\nX81WPHnak1xwwQWceOKJ9rBeu4croWTSgovdV+A5IPo16ksevbU9VkAiKXrTTtHiqfcxDNdY7sZ0\ntLqwh+JR5HvAUcAeMc+eD6tvikmDlhus2KytpgzNvp0YfXO76KWNxP4k85fIwbUqBC5WxnYP+tXY\nXq/Xk7cQ25h9+eWXW8ZmuP/++5NMvkXX8e1vf5vFixdz0kknsfnmzee0VKqOyGC6rMCw6DPalzXk\nuxKRYRJGKgF0EOTccCQyVwK/Bw4GdsSPxE7SnporWQQX0fRbrc9Y3mw7H2Myx7VI75LI47D1JbBo\nDJq5bNo9Q3aZcedEc5jClLYj4TuJ2j41BgcHi//bPWQa9nrQL6iM7aMYrkRiXHk32WSTwr5f/OIX\nOeuss7j44otLz2e/fdXiFEP2Al/0oKVSdat0Waqt5+9oVFRaTaUaZZFlX/HQai8Ah75P78VyubWt\nfEhllvr2oEjtlSza88LtQvDFaBTRURSx7saRALAV3ANwGHpjsIJ5WlUnhZhcCO1GwrcKn+3D3bM9\nk9TRah8ywDdjp1xVUSiRKKU2yG2gsUJEXipu1l30q0Ri4yMf+Qg33ngja621FnfffXcqUHDx4sVM\nmjQpmGfLhpFsTK6tdtGMm2Oora885XJpSS++YDE3D1jyACeM4VPAT/S+JDs0xuyGK3BZqcJuD/mq\npU4g5Brsm7sbc+bB5yJssGDyAmZ9dlZH6SqDMu6/oWODVcEFuBcSydPofXnyPvcFe1dI4T3veQ8A\nZ555Ziba3BjifbsadhtFKq0ybW1G4G55ClkVWFHuo0SKGZZ4r/Z4l2VlMSDLMA8gpIlNvT27XmO+\nlPUxmpEqTJs8qSJDSw7y0pf4mFswUPK3wF/KzZk3d1kGZRvhm06v0iX4bCHNGs99tpUKaZRZsf4o\nIlvnfUhtNVTBhS/Xli9WZN111+XrX/96khq+HfjEcfshcB0S8sT3ZoW8ZPEPzJ8Yz2motcweKYY5\n2OVqtkoviA6jAhKGkpuiJBR/kgxrqUZMv5w4kiK0Ej/hvv17GdGiNEPx4o/ohEPfQ9uVPHQVueo2\nI+FIlM4B5vPsGhHEv5/vZcVnFyliGp2QTPrZGahVlGEkZV4lPtguIasKZs6cyVVXXcX++++fqVt3\n3XX56le/yvHHH9/2PL7FP+8haMnNuOTLme0i7M6V8agx0kXUkFYA7j/2/kanNRuHGdWWGYPmbQK2\nNOOzkTQrURQu9p5xm3EhzlU5vRN4D7AM7aRwJUnOs7y4kSL68miz95JvdZxuIZQZ2JaeXazs6qxO\nopCRiMgyAKXUF5VSJ8Xf5viflVJTROT17pM6emF7aOy888588pOfTEWktwKzTe4WW2xR0LKYprLw\n5fwKtrWN+JJlVPa5aTt081Cj3EgYcd3239NJLLfddlsYsAayo9ptI7tHOsmLeA8tykNWWZ5LsH3s\ncw/OQ9O2jQIvMomAddA7WH4cnRXg98D3gWf983dikZd5+fVunq5eQOamJQxX+nCl5zJuwTZ8jiJF\n6DePrU6gtPuvUuq/gd2AawAFfAxtG9kKuDJv18JeQSklw8PDDA4OrpQ/lo3f//73PPHEE2y//fZs\nueWWPZu3tLtvwLBpj5O4/lrW9eQt2TLOa2byIDpj42TgT6nAQyBrcKcxfvBBdwzz7cRYdDsuIiTl\nlJr3BeBn6I3E/gWdWbjEfO1ck92/2TxdPbmfzv/Cx0xWBYnE7Jo4e/bstoztzTCS+cABIvJqfL42\n8P+AacBdIrJdq0R0Cv3qtdVPfuNmUR9xmgzTMGoo0fdpaGgwzQBMksjjFZwLbAAslTQjacZrK65P\nLVaRNZ7bt4U4knYRWkibiW3JMJq3gVeACcXjt7yQl6CrFmm/857ZTgI0hTy2kv9HgIl0woNrxJ89\nD3oZR7IRqVRxLAc2EZHX0JrYrkMpdaBS6kKl1BVKqb/txZwrG7xG8Bb/Pm15sEiaCWRcfWmoHgA4\n92kOPfRQWHp8Wh3hRsvbU+TEmGSYiDNWP6Kssd60TbUfC0woN35ZV+d2YMeahFLOdBM+lZTOtpAv\nxZYJalwV0YxE8jXgk8DP0aqtT6B3MTwTuFBEPtstIj20TADOFJEjnfK+lEhGM5pNt20bv0NMK4kl\n8RynpBBLtZWJqPc9tCFpxJY4krLAQhF1V63Szvhdoe1N9FO8D/pVscsYqVgTH3PIixdpJlZqZUC7\nEklTKVKUUn8D7BGf3ioid7Y0qVIXo20sS0RkR6t8GnA2+v3pByG7i1LqTOC/RGShU14xkj6ElxHk\n2FpsppK2ldzHr3/9Env/397IfzoBZiHvLcsYnzCqUYhCdVeJ/uBpexN6U5lxwEfQm4Z1OYzJ0NzJ\nPU5KzRuQNEIuv80ymtHMZHqm2lJKjUFbO9cTkXOAJUqpDxR0C+EStG3FHn8scF5c/j7gMKXUdkqp\nf1RKzVFKba40vglc6zKRfkY3/MbPP/98Tj75ZB555JGW+vfSl93noWXDlClVT0shlvpKKdh33xPZ\ne++9IRD0n0oEmbJ7CELz3jWA1rF3cn+TFpBhFlZsS1kX3lB6evYApgBvAdcBlwIvt0joovKuwtCj\nWBP7XgV+f9/OiW49hONN8sp8WFXjSAy+h44pOSw+fzUuaxoiMh940Sn+APCwiDwmIsuBK4ADReRS\nETlRRBYDxwH7AocopY5uZe6VBf/yL//CWWedxY9+9KOuzlPGflJmgTbjGKaSkkZsO4en3uiukyDO\nxJ6Szeiach82/VHht/YyTMKjBms6RqWN9mWi48tG39vHKgLeAfw98Gl0fM4i9FMdSHhUlLNrJPce\naQZee1rkzxQ8WqWMXmJcE213F5GdlVK/AxCRpUqp8R2kZRLwhHX+JLC73UBEvgN8J2+QGTNmMDAw\nAOh9zadMmZJ4SJg3gZXlHODOOxvaxWb6Dw4Olmqvkzvmj2cetLzxjFeWWz80RJLpuFbTUgnRkFZD\nzFDUZtSS/eWnTJmiLzQJIquhZgxpr5wIiGrU96kn94NFUKvVUTfH51ENpg/BPGODqcN0Kw5luoJ5\nNYiGGuc2zNvt1pb3VHyezDfPij2J62VeuH3oPNReTS83nkS6bZn5kvEEnVZlPbRhPjB/cDxTVuL6\nfOcLWZhkEF4weQGz9pjVVP/gOaR/z63j/4/bfrpCzdDnxrMR+ud57+R5vV5n7ty5AMl62Q6aMbbf\nhhaE74wZykbADSKyc0sTKzUAXGNsJEqpg4FpIjIzPj8czbyOa2LMVcZG0umkjd1GSr8c2zPKuFia\n49dff50119Qh7fV6nX322Sc1luvCm8nkWjaZo8+lONSuxHidjMfoxvjZAdFqrk6+IpZAz+wlbuzQ\ncHbbAoPRbPNoFr10/z0XHda0sVLqG8CtQCdDVJ8C7DDtLdBSyahHP+pEu0mTVx1mqZCM+66rErMl\nnIY7sO73l780km0pFYiwt5iJUpadxeu1ZdtSHG+uVFxKLUN/MxmG213kvTaQRZ6GnYICOS1Ql00P\nl0aTdNnXVGZP+JbcgnNosv+DqTxweOJLOoh+XA/aRWlGIiL/BXwZzTwWo+0XP+4gLXcCk5VSA0qp\n1dBa2180O0i/75C4KqCsh1auv75jK9n0rMaGG/vss17Dq0ss/3+rT+JWXGYRsLfndfTjTB/KMiJf\nFL3vGqL0dzvo5U6D3jGXoFOs/LnL8xDeE74j1+rs6AmODcRTvzJjVO+QqJS6HO25PhH9Fz1VRC5R\nSh1Aw/33hyLSlMSzKqq2zjjjDE4++eQRmL9cqpSmx3VVYBgvrheADdlggw144YUXgq6/aWnGs/hb\n0kSqrd3GQtC12IVPSumA+qubcS1NpVn5KXAv2tFhT7TZrBkLaxM02fR0JBI+8DuEJI6Qi68d41SE\n0aYW63ociVLqi9apoP9KSScR+Xark3caqxIjufvuu3nmmWfYZZdd2HTTgu3xmkAnGUTew1RUZ6dO\nUQpeeGEpEydOZMKECbz44ot+O4tSOhV8lGVGGYRSouQt/s3YWQKeXp1mCr3ISwVou0kdrdAW9I6M\nB8sijRoAACAASURBVAHFm3m2BcNIDLoRtFiUd6soSHFlQC9sJOsAawO7olO+bY5OUn0MsEurE3cL\n/aja6gY9u+yyCx/96EdbZiIhmjrJh3PT1tsPq0rTlGRltVRVZh+Xl15qMBh3DEUjm6uxkdjb+rrZ\ngVNSioEv15bbJu+aI88Yhsao1BDFWNRww+2Zu60JWDwCWB94BphLOmmSZY/oVJqTtjfICtlILNtY\ncJtnlf6PdYqJ9NP61CnVVqFwKqL/EnHSxl1E5JX4fBidtLGv0ImbUqE8OiHBlOm/2mqr8elPf5o1\n11zTm1rFDXps1FuLhQlMDBnfQ3YQc+4GO3rQq+1uRyxeY0v0K+QNwGYEMwl3ij5b+nClk7bgpPFx\ns1VnsiuspNKICQWYPXt2W+M04/77IPB+a3+SdwD3iMi2bVHQQaxKqq1+QCsPVxHjcW0kRW1dnbXX\nHThGKkWKzTBCx247F3lZg8uiQ6nsVwV0RM1V1m7lcQQJ2k66ZC/sJXrp/vsj4HalVKSUmg3cBsxr\ndeIKox+tvKHZkoSBfZzHRO6++27mz5/Pq6++mqgdvEzEzJMs9JZrZ0BFlYqI96m8vOcq/e22CanD\nbObm7DE/Ekyko9l2BejSNncd2Qc+sJumDdf93BcFn/rPjnIm0gk04/57GlpD+hKwFJghIt/oFmGt\nYlWxkRShyHVxpO9RKgVKfGzT5Hs4jzjiCPbee28eeeQRvzuxsakMO3aUTJxIWgIxBv3MNr+CjobO\nBDzaKi7P+L5jG7aLaeRvkouQ3r9FlKWhkOEsAhaiI84eaIciP1rKzeXeK9/LgI+ZJP8dlVJv2fWt\nugeP9LNno1M2kqbyfIrIXSJytoicIyK/a3v2LiCKor7bNGYk0O/6XKWyQWDBtnE7k2tLeTokrsKO\nztt13TWLg/Hs8kkiRppJBUWmmIl73LJGYFShFMN5AL03/BXA1cAb3aQoG7RYiAIvvcRGMlul/lO+\n/2jZ7RX6GYODg72JI1FK3S0iud5ZZdr0ApWNpP9QRn+cMo4H3C2Vgu2334H777+f++67jx122KH8\nXinGVThqeHblzZnAtZ0437nJIH1ox5YyWrACrfT+FXpXxgloN+GtOjtNN1OqZGKHPOl33C0ORjt6\nEUfyOvBwwTjriUjvNg4PoGIkKy+UWoGOUwW4H5H3WXV+r61MsKG9EDg67pT6ImQLgXxjvFGJFTGY\nHjIU13jfM2P+EnRCpafRMSdH0bV9TloOWvS5gOc5VVjHvqBZGL1eXr0wtm+H3g0x77NHsHeFvtKJ\nGow2mt5+u3H8hz843jTWQ2wzldQ7heXdlbSJ06ok+ZUSO4k9fpamhjrM7+1l70Xvz+/VJhNpwkbi\nMo2uMhGbro2Bfwb2RkskXd4sK4i8e2XbvHLS3hh7SaIWjRFiIpCv9urHZ69dFP688f4gRZ+VIrli\nhd4gCRYsamfpqW27yPsufF+2rfI/vDZTMQ96hhFAtjyTvLGx4KRTsKjsG6vdx0bJHF2dQi/2Ps+d\nexzwYboe/W5g7CX2Z+avZhZ3LPC+S/6DvtxcVn2ofFXASL0nrFLoR+P/SNJkBxDaD6lLk1ncNeNR\nCTN5+6y3Mw+pVwqJx3W9uWxGZtdnHvxIgMGGOsNd+0MZgb35vTweXnnIa7d1uSGK0s93HBZdhZLP\nMvTWeB2A6xZs4x+e+of8zl5VVpqhJDY1R52VOG1I+qXHIPS/6sf1oF2UsZG8GzgEvd3NE8Bv+3Wb\n28pGsnLBjWAfM2YsK1asYPny5Ywb50/KUBQsVrTnhDcxn4pzeEHWAGtQdF5U3gZGZRDjT4FH0Lsz\nTu7OFEHbicdxovC3C7gI2wGwo3np6YWN5MPAVcCN6G1uv66Uuksp9dlWJ+0mqjiSchgNNLmxJibf\nlu9lIaR2cJt6g8s8bshJ2QzLcG7p1JOAR3AWpBJG20gaEkEzUoqBo/fvGyaSY49ISUDL0fvC/xW4\nDJ1oaXl3SFqI553XVWV5nSka37bLuO0ibv/nMoGxeCTcGP307PUs1xaa2awtIjcqpd4pIvOUUqsD\nn1RK/YuIfL9tKjqIKtfW6EArXi2HHnqoFUviMBrPWG6+pFA9kaBQgF40FA3GUqvVGLp5KH77tAzq\nKrvgZIy3OUxFSzg+O0xA4hnlSDG78cB04DfATcDtaCb0SXT+rl4hKDWmVZSaIUhKAtG/f1wf+H+5\nbub9iJ7l2lJaMX0C8HHgFeCHwKPoUKNPisgZbVHQQVSqrf5GLx8qVy2W91D70l2k9OCQihlI68gl\n3324BWZg4l0K+64MzGYxWt/xArAbepXpEDq+l0nA9dv9T5TNFddP6LpqSzTOBg4Azkf/3Cegnfuu\na3XiZqGUeq9S6vtKqZ8opY7p1bwVOgefIbwZz5bbbruN+fPn88Yb6XBpYzxPpf/2PMCJ4d60s9yF\njTuwGatR1njrdMdOLRhJEJvDRFwju0+N5bRpmYn0wBOs49gcOBq9zd1+I0wLZH6rtApTEZIY7f+E\n/R9aVTAiOyS2A6XUGGCeiPyjp64vJZJ6vd53nhqjiSbztr/55pvz9NNP8+STTzJp0iTvGLnBiW5k\nukeScP8+9Xpdq7acIDM7Wh7xBzgGVVW+iPlmsIh8z62RklSK6OoxalGNhSzkxOjEcKOy98qSPiAr\nlRq49T5J2P6f9wvD6WX2345AKXWxUupZpdR9Tvk0pdQDSqmHlFJfDvT9BPC/9OE+KBXKo9n8Q2bx\nNvYRY3T3jZMxrttqBxpShitVuG/zZuyhuUOpN1Q3hYrCSqcRZY32Xmkkk68rZyVpRcroEhMZkbiU\nF+huvi5frFBOOzcGyhjiff+7VAyT5yfJqEpHMXoukSilPoT2IP+RiOwYl40FHkTvwfYUcAdwGFqN\ntgtwhogstsb4XxHJaFP7VSKp0BlssskmLFmyhGeeeYZNNulOlFveG6JrN/G6j/qCEPPq7XZYrrw+\nQ30Zl+KVwW5i8CZwAdqmfQhaDdYECvcvaee+eX7TTOaEAPpFCrEx6iQSEZkPvOgUfwB4OI6SX47O\nHXqgiFwqIieKyGKl1D5KqXOUUucD/9druit0H0VvZkuWLAFg+fLyvqJe117l/waPHcdpY9JlGKnG\nTZuRoCjS3Y2cN/PhtrGkmVWJiYDOIjwWvWnFD4EFQBMLcOH+JSHPOp89y5UsjXrUiVmyj93/s/0f\nctuPdoyIjUQpNQBcY0kkhwD7i8jM+PxwYHcROa7JcWX69OkMDAwAMGHCBKZMmZLoI43/dq/PTdlI\nze87d2kbaXoAzj777NTvpWYoajNqDA0NxiqA+Mn7AsgcSfVXsxW1fWpNzz80BCLxfKpOrZYeb+HC\nhZz4stax1/apJe01KeYeDsbf1nmk+w/NHdJ2g0ga9caLKKrBdKt+enx9xs5g3qjd9gDznPa+/oto\ntI1U49yt79T5b9EJGjs5/ttoXcUdcdk70bqKtUr2fwb4YMNeAjCFKVo62WNWuL/7e5nz6UP6fgL2\n763/n41zu979f5n/UL1eZ2juEDJXUvW9ev7nzp0LwMDAALNnz+5u9t9uwMNIDgamdYKR9KNqazQZ\ntkcSRTRdfPHFPPXUU3zta18rPaZPjeBGI7sGefst09DkM8qnbSGxamo4nWI889Ybii3xqcRMufu2\nPF01mEMefPEsoWjuTqCbxvY/AL9Ap1Y5BNihoL25vpimUmnn85wjytq0LPj+dyL9+ex1PY18N+Bh\nJFOBSESmxeezgBUi8s0mx5Xh4eEkyKbC6EPI66oTY5VpZ8eB2MwipY5wUmKE+gfTb9h1SbnK1of6\nhOp6jV6r0l4Cfg/s1d4w3vgS3331nZdgIu7/ph9tIgb1ep16vb7SSCTj0ALsvugQpduBw0Tkj02O\n25cSSYWRhy8oMXRszsHTx3UBtmC7/WYWk9mWxGJLKj6GEpJOkvMCZuO2zZNuyhjzRyNCEgVQi1VO\nCSPJc4AIOU+E6innAtxvGHUSiVLqcnT40UT09jenisglSqkDgLPR5rUfikjJvTNTY/clI+lHUXZV\noikUIxJsbz30PppcKcXMkdlZD/LfYH2qrpD0YR8vIqzaGklm0E3VVhFeRqeVdeGhKejNlRfr40MJ\nCcUfd1LD2FVcjBTDGY1eW4eJyOYisrqIbCEil8Tl14rItiLynlaYiEE/Jm2sMMJogolA+kEemjuU\nWw9G3eUEJcaeXXp+1fhOHecxmZw3YXtMt0+K8bhjSPq7aM6i8lbR6fGeAc4FbkAb5wsQ9OZqljEn\nko6/PpNOJ+5Tq4WZRa+ZSKeSNo66yPY89KtEUsGPbr19lUkI6W6Jmhs/YqmlUuUBQ35mAfEwhUIV\nV4xk296y9hQX7dpQummc7xQWAlejXYO3Qhvj1ynXNVc6gXz1VhOGdwNvgGwfYNRJJBUqGHTrISq1\nU50xqMdtXftIULrwjOf13jLNbWnIREA70kvKU8yRWrwp4o20kWqbJ4G40kyJY+d6vOP2C6YAM4C1\ngcfRGQEfK9fVK514vdzCkkczsF8+QjFLoxEVI+kB+lHVtirR5GNYeUzMTm9haPJ5cCWw0mckSftm\nq0w/m4GEFpGEaeUa0uvO/B5pIbUAOm/PSVnABuNTgZUJelzkL86M1Q1sBbz6NAyg9zmZuy68XkAT\nMOuzsxiKhjyuwM59SzHv9q7FxJuYF5bg/2oUoWIkFVZqNJvXKw8+t+TEPjJbpb1znBgVIC1pWMzF\nrksZ610pw+tlJdm6TDuV/jbHobiWkB0ntJAWLay9UotFm8E/ot2DP/kXWKNsP4/qyq5zJT+7TYaB\nF19nrVbYZNRhpWMk/Whs7zfvKBhdNLUj8me20W0SSZT9bGuhp+HSa6SXUKoMItWY11pQXeYSSv5n\nt2mMMZRRgXkZgd3H953X1gd38YzinR7N+dYF/crMUQY+dZz5HgvcIrATYZqanT+kNsxTJ+bA/Kds\nyXek1FqVsd2DytheoR34jPRFDgFuNLxrZE8Yjqn3BSy6xy4C8RC5bsZ58SllY0dCKjN3jD5Dag/7\n0PV5rqOUW3BojA6o7kZy6aqM7aMA/SYhQX/S1MhV1KP5HAnF5+lVq9V127ip/e0GNAK5C45tN0nK\nbYnE6p9aVNwFa3rB854nnSTzuioa8Xx8fV3px2ZWtY4sqO0ilfjStictBG5Ge3d5VIQL2CA1Tiql\niu/+2HXgv19e1DMlmZQ7owyVRNIDrErBf+2gmzQ142ps2z9qtXqSNLJovNAc3gh4X1koj1cGdQht\nHxuSdkydV//fhA0jzxaziJELSAzB0BQ9DeM2g7cAPgX/+hP4huf64+OMdMIGzEr0Ze2iTiOxo8ZI\nL1ujLrK9m+hXRlJh5NDpWJXceBOVNcj71B7BvFyQVV9BmCkUIWggDrxBl2E0zarCyqJdg3wZNdyD\n6P3h30RnKX7mMYgG0v3jPqdzL1NZmhpuyCz+GY+uArVkid8qlKqnV6gYiYWKkVToJPJsJm5QWSgI\nMu3dZQUikpZCbKQYDST1oXFSyHP3devN2HkLY56hPNe1uMSa1CtvLhvPAZej9zhZC/gH4CLnfkDq\nPMnNFW8P0Gn1XSYvm/Pf6gUqG8koQD/aI1Z2mpr10PJtgCXDkqHJfrBtrxs3fsQex138TT/jOiyO\nzj4VEGktWo2ymrPlr2p8eyUa59gnXXiZiWM/sefzSS7TA4tsN+0mha7HaRUVGwFLl2p111vARfek\nx8pcd+M6a9SpRTVO517PPDn/t0xdPdPEZRj2f2s0oGIkFVZKFKVICbV3H96hIU8kuxUzkhpDSDEL\nm2nYxnQ3CM0wlAw8ZSlDvd0usqPj89RPHgaUGU+lmYdZXL3qo4JzbxuPtJPn0utzs03K8yQmaWwE\nlsL6sOgNOAKI3p+m0+POmzHCOyqvzLxNws2kMBqx0qm2qv1IVj20k903NJ7tztuxcR3m4fu2x0ll\nFC6DPPuJVwrJsbv47DSp8TxqM7dd3ly+Nt5r6rD6K0RTyDZlt4P21FxNtM8Es3YJo3o/km6hspFU\n6AbcWJGitkV/QZ/bcJBx5L1xm/oixlFmLO/buE+6CKjGfO2Kxioaw9euFc+zMszT7ivAbL/tp+ao\npXK9uVpgHOa411ilbCRKqbWUUncopT420rQ0g5XdHtEplKWprP0jZadoMVVKvV7PRK6H5oBwPIBt\nP7H7eT24bERi5d8yUlc9VZ9u71tkfUylSBpx1FupOsG7cC/yjOPS1CqKpAZvH4lpKmm/iASiC2D2\n4cBb3t/Dp+aqUadGPWs7Cfw2JjbJxmhXbY0qRgKcAvzPSBNRobNodpEva/9IGcabtJm0ghSj8KRU\nMecpY7uBtTAnBnynjznOzdVUythe4l6E7A8uc7Ixr5aVDlyDfZ7hv5CmAobgzpGROgLqOIMvKeBL\nwH8BnwbezEhfs9iJIQYZiobybSchaQ5tdwvB/C9Gm91kJHZIvBj4GLDEbLUbl0+jsUPiD9z92pVS\nfwtsALwDeF5E/s8ztle1pUbTL7ISYFVWL/rsKz47SLC/q/ZyFr08V9EEZVUqRcZ2+7jIbdguy8yT\no5YK0VOmf2gc9zpCNHuN/r+Fd3wQlgGTgYeWAasX3tOmVF4BuDFIvXyMRqNq6xJgml2glBoLnBeX\nvw84TCm1nVLqH5VSc5RSm6O3552K9vyeqZrkDiJSfXrwWdVhSz6uZOEuFGq2Sr192gwnFMyYLDAe\nb6lk/DybiX2cp4YKvs3nSBQZNZErGXjUbnk0pej3q/2SvvYcIVVeKWY0FZb9DtgQHgI4jJCay6a9\nlGdXCYyknaQdjMRWu/OBF53iDwAPi8hjIrIcuAI4UEQuFZETRWSxiPybiJwI/DdwYWVVX/nQD3Yb\nN/6jGzQlWYOHJVFzmY8Nn0uyZjT1DBPI7BfvqMlS8Li4phiFT4UVsr2k6MjTuUGQKfkYSqpfQJXm\ns5e4zMWNbcn1XjPtpsDRz2vdxxo/g+PGF17XrOj9icorv63CF0diw325GA0YN9IExJgEPGGdPwns\n7msoIvPyBpoxYwYDAwMATJgwgSlTpnSIxArNwizCxhW76HzhwoVNte/GubY/6PNarc7ChQubHm9o\nqNHfV28YRKi/yCBqtqJeNwuzzvWlZuiyWs3Et9TjY4mz3dadxbyOHnIwOWf6EMwzjKDWaG/Osdrb\ndaa/qY8kTh5pygAWxmPGi+l0pY3d86Rxbo+5yOoaiTO+Vb816fHM+SIaCSwNPfY5ddh/qMFgFhHb\ncYas66vr8+R6Yno3A5Z9F1gDzj0ie/2+++Hc/zmcDcAyPhyrueqZ38cer/F7DiYvDOb/qG1jun0n\n/u/1ep25c+cCJOtlOxgR91+l1ABwjbGRKKUOBqaJyMz4/HBgdxE5rslxgzaSSoDpDVaFe10mHYp7\nC0J1PjsKZN2Bm+kLeN7OXTVTvqom10OqyGjdrpuxT1Ix5WVcf/Pa+dCMwT90HdZ5bp6ukvA9Qt20\nm4zKXFseRjIViERkWnw+C1jhGtxLjFsxkhHGynivywQalr3kEBPKa+djKAYhBhNEnn3ELc8bI89w\nnrfYFxn1fXQWuQ/nMbsQ/S5teW2LGGEO2jHC9/IxGo3Gdh/uBCYrpQaUUquhfe9+0cpA/bhDYoVy\n6MffzcSR5KGZBz4YjzK7sf2uUnGqldnpRdFIKbVag6bEzdhxNw7CZwS35kjKPcb84HgJ6v6xgnO4\nzEj5587MY11HrseWpXoL0lGScdo081qazhxG5zPCz+HsVNxJ6P9j/5b3fuxe6qqe+nQCndohcSS8\nei4HFgNvoO0iR8TlB6ATPT8MzGpxbPEhVF6hHO677z7Zb7/9ZMMNN5RY6guinXtdq9Va7tst2DR1\n4m9kj2FM7EX1RDSOEYFaui7CS1+6T87HjG/Pk5kz0M/+TMffzy3zzVc0h+/cnd9XH6LJR0eIzuTz\ntuhNTLYUWFLunlqf07lHatRkDnOkRi31OZ17Um3d/4fbvkZNOon4uW19XW+nc799KkbSHTz44INy\n8cUXy9VXX91VRjJS6BXJLpNouk9EpjzETNy2pRlCmcWx2QXYZQSh8XIW4VzmUTS272PXlb6GNwX2\nFEDgb4VTSzDCwMcwFfsTaisiXWEe6f8ZIu2sve107rcPIMPDw5k3235f3O666y6ZMmWKrLPOOvKp\nT31KDj30UPm3f/u3pP6aa66R97///TJhwgTZY4895N57703qttpqKznzzDNlp512kvXWW08+/elP\ny7Jly7pC50MPPbRSMpKRQuhW2QtZqJ3LlIILcF552Xrf4hzql7eY59W7Y7iMooh5hOrzrjGvffDz\npMBGMTP599buo/PxSRvmc89H7xGR7jGS66+/XmbMmFExktTFBJ7MMotbJ9a/VsZ44403ZMstt5Tv\nfOc78tZbb8lPf/pTWW211eRrX/uaiIjcfffdsvHGG8vtt98uK1askHnz5snAwIC8+eabIiIyMDAg\nu+++uzz99NOydOlS2W677eT888/3zjV//nyZMGFC8HPrrbfm0tptRtLvqq120OptcRmG/q41jqNG\nA5f52B97jODinbe4htrb59NLMAwfgyhqX4bOEN3TPXMWjZ13jAjcEDOScQJ3tcA8aqlzn3TiSirN\nMJJXX31V7rnnHrnqqqvkjDPOkBNPPFE+//nPe9suWbIkvhZE2ll72+ncb5/RqNq6+eabZdKkSamy\nvfbaK2EkxxxzTHJssO2228qvf/1rEdGM5LLLLkvqTjnlFDnmmGO6QutIMpKR+glHmrn5rrtWq6UY\nhvn2Mgz341lsc9v7+gcZTS1f+nDLQ2198/jGijxMIjNerdx1lbneFI0nxAvwnm0zEve3ML9HK4zk\nxRdfTBiD/Rk3bpy8/fbbmfbLly+XPffcs21GMq59c32FdrB48WImTZqUKttiiy2S48cff5wf/ehH\nnHvuuUnZ8uXLWbx4cXK+6aabJsdrrLFGqm40IW8PGf2e0Ht0cl+bVvc2cfcnMQGPblvb68uGXed6\ngBGJ15046EbrnvvKIylw7ZV0u9A8dvS82zbkVWaPDSTBhl6aS7jyBuu/AfwVOLXc2KnzweB0RV53\njz76KDfccAO/+c1vuOSSSxg7dmyqfsKECWy66aast956TJ48mXe/+91MmjSJzTffnBUrVjBmTNpR\nd9y4cdxyyy3t5yNshwv12wdGn42kXq9nJJI999wzkUKOPvpoOe2004L9BwYG5MYbb0zOoyiSww8/\n3Nv217/+tay99trBzy233JJLa2UjKYataipsW7Kp2873Bm+XJ8eet13vW7vbxydxhOry2pb5FPX3\nSRx5NJh6X7tWaWt3nCY+9u9gpJAf82M5mqNlMpMFGlLG7bff7v2/+CSPEGq1mgwPD5vntvW1t53O\n/fYJLWL9vLi9+eabsuWWW8q5554ry5cvl5///OcpG8mdd94pW2yxhdx2222yYsUKefXVV+V///d/\n5ZVXXhGRLCMZHh4OMpJ28Prrr8v9998vSilZtmxZ0KDfzr0eaTWSD92iqYjh+JiHgVFtFd1qd2EK\nHeca0T2LqKE/uxDWPGVSvKg3s1D7aM1jLEU0NcMsOsZQAjQ5n3s+qm0n27JtwjzWWWcdOeSQQ+T8\n88+XJf9/e+ceJUV15/HPD4VE5GlEonFwNkYiCQm4ElheZrJJFKKoBJbHKoK6ExIPutm4R1wfx+Gs\n68azEl/khGV8DHqIGFiCCYqE1RlECK9FIoZgFER8gLo89gxqYIDf/lHVTU9PVXd1d3VXdc/vc06d\n6brP79yqvr++t+6t34cfBrzbslOoIYnLhsR2S8eOHVmyZAmPPvooPXv2ZMGCBVx22WV06tQJgAsv\nvJD6+npmzJjBaaedxnnnnccTTzzhOxQVkdBfm79r1y46d+5M//79ERFOOeUU+vXrF2od5UbBMwF3\ntZ5SSp+WUm27gz09PhHmp80vvk14+lST1zSUR/mBSZ+aSoZn2WXvW176zvk0jannCZ/tbTY+atu0\n2TRkmwYLmQHPfZ0areH2J25n3LhxLFmyhA8//JBFixYxffp0evXqVVI9GSnECsXtoAxHJF4MHjxY\nGxoaopaRF+XW1lHgNdrwHCnQNq1XGdnyZor3TJPPL2+/PHUeoxuvsCBlZSo337JDG2WEd3hds2Lj\nfm/z73sLyRy3o1wNyapVq3TPnj3a0tKiDQ0N2rlzZ927d2/UsvIi7m1dzqQblvTpMa/pMq/OKKvB\nCNopZzu8yimkvFzzpRoYr7yF/n+tjg0KYxTW5Zl/j8LVCh+3MRxmSEp8lKshmTdvnvbu3Vu7dOmi\nAwYM0Oeeey5qSXlTSFu3p2ckqv4dhN+v0cTnXDSlPkhPLye9M/MKy6lDnxpgVJLrESSvV5pkWGNx\njFSbY6YCClcESJuuaZs6r11B4V/MkER9lKshqSTMkLSmzaghS/MEiSeHHc6pRiL9PJPxSGjP1CG2\nzZvWQWbs4DW/h/DZ8rTJ2xjMSPjFp9fn95kPFDopdFB4OwdDslPhTNeI/I1bTvb7IGzMkKT+M2ZI\nIsfaOhz8fpWmG4VsZfgZgPQ02fLk1QnnmicnAxFinFd8Pv8Tk1yDcGfA9PsVznXz1Ch84nudio0Z\nktR/hvLbR1JpWFuXBr/lw17Nn80o5dJZZk2fVwecZ3m5GqM6v9FEWEeTaxTOVDgaIP0tbvqBCv/n\n297FxPaReP0zPi1vnVvpaK9TW6W4xRJ1hDndlm5UEp8zdWqtDEqrDrmxcIMRRmcflqacj+MKX1T4\nrMJrGdIlNH2qcLPCjkiMSCqFGhLbR2IYIeD8jgkHr30aWb00zmqdKXVfSuJIkPS8KN55oXVdic+p\n5ST1uHsrAv//uezRyLRvI5NTqWLv9/Dd6yLAUuAj4KsBCvoscB/wxTYxYd5PpSASV7v5ICI1wL8C\nrwELVXWVRxr1+n8q0f1rXKnkti6Wz+x8yvXbdOj1jq70PIl8QcvwIjV/qGTyA5+rgcjXTW4+Ffa9\nhgAAEyZJREFUdRUBv+tYDCrF1W4QjgPNwGeAdyPWYlQ4Xp1ksb7MXh15kDxeerxGEl750utIH7Wk\nn6eX6akxyK70bCR3nKfvgk8zCEHqTt9NH9Q45LLTPoz/2YPENSqFEQmDkhsSEXlMRD4Qka1p4aNE\nZLuIvCEiMz2yrlbV7wG3ArNKItYAYP78+QwaNIju3btTVVXFzJkzOXbsWOj1xMlne+LLG4Umv44j\n0XmnavLq8NNft5LaIfm9YiXVwLSKS+kos3Zob2WJ98LPKLR57UkWg+BnJOoaM9eVVZ9mzpfXyKUp\nY2zRRntFJIoRyePAqNQAETkJmOOGfwWYLCL9RGSKiNwvImelzFkdxBmVGCXi008/5cEHH2Tfvn2s\nX7+eF154gfvuuy9qWe2O9GmqNp1+WjpPw4D/aCM1Pr281F/IvsxvzBBJ8OcZfmG5GIIwn52EOs01\nE3gO+CRrSr/RYywp5El9vgdQDWxNOR8KPJ9yfitwa1qescBcYCFwkU+5mVYkxJZycbWb4Gc/+5mO\nGTPGMy7ubd0eSL0EXiuAEudeq4TS8/qFeeW3I/X4QOF5dVZyJcLeVxB1Ni7u923/TNekWLjf27z7\n9Lg8I/kC8E7K+btuWBJV/bWq/lBVJ6nqS34FTZs2jbq6Ourq6njggQcCT014rVzJlXzKOHLkCGPH\njuW6667jwIEDTJ48maVLlybf4PvKK69w/fXXU19fz/79+5k+fTqXX345LS0tTp0iLFq0iBUrVvDW\nW2/x6quv0tDQ4FnXyy+/TM+ePX2PtWvXBtK8atUq+vfvnzVdU1NTq/a383DPRU6cO6MF51zdX7FN\nTU00NrY+T42HE/GqJ9Kf+AXchEjr+pwwJ39jo3N+giaYKq3P0+KdPP7xvud1klv6SM8V6I8zwfJ0\nSvz9btzFQM9W+Z1rcuJ6JMpLv55h3T9NTU1MmzYt2V8WTCFWKN+DtiOScUB9yvnVwMN5lJvJ2saS\ncnK1q6r66KOPalVVle7bt88zvpC2Lud9JKXET1Or0UIdnuFt0nnEBQ1L/9vKl3zYv/Dr8nyP19So\n3u47SgGFRSlhV7thM3zzZbs+xYIKGZG8B1SlnFeR58qsurq6wKOQOBDE1e7s2bNbjRzefffdjK52\nDx06VBStS5cu5bbbbmP58uWcdtppRamjvRB03tvLZ4kfqifSJPaKJMJT86t65/ELS82fvpfES1d6\nXlUKX93k+zDdI7xIK6lyq2OQ+3eT+1eBRvfzBb65vK5FMWlqaqqoEcnJwA43vBOwBeiXR7mZrG0s\naSoTV7vLly/XXr166caNGzP+P3Fu60rEq7n9LkHQS5P4lZ+trCBHkLS5lJfTaCTS47/c0cdo93yH\ne366wrFA7ZHLNSsUym1EIiJPAWuBviLyjohcq6pHgRnACmAb8LSq/qnU2qJg2LBhnHTSScyZM4ej\nR4/yzDPPsHHjxmR8bW0tc+fOZcOGDagqH3/8Mc8++6zvqMO5J7wZOXIkzc3Nvsfw4cM987344otc\nddVVLFmyhEGDBnmmMUpLptGJ3y2Q4dZoNdLINJpJpgv4qz/IyCvvVUlhraYqyl6Rvu7fN9y/ZwDP\nAj9H1b/bVZ/RYNwpuSFR1cmqepaqfkZVq1T1cTd8uap+WVW/pKr/nm/55Ta1VQ6udu+++26am5sZ\nPXo0Xbt2pWvXrlx66aWh1gHx2keSICxNfpckn0uVeAAL2TuaoFNjid/DfrvdU+tTdYxN6u9ooNWD\n4vS4bPX6xeVKMk+y82/KnimbQcrLYJ2LM4U1GGdaqwvwPWBCqwUMXgRpt7AIa2qrbF6REoRKeUXK\nkCFDuOGGG5g6dWrUUnKmkLZuamqipqYmXEEFYpqCE0ddpikYhb4ixQxJDHjppZfo27cvp59+OgsW\nLOCGG25g586d9O7dO2ppORP3tjYMoy2FGpKTwxRj5Mfrr7/OhAkT+Pjjjzn33HNZvHhxWRoRwzDa\nJ3FZ/tuuqa2tZe/evTQ3N7NlyxZGjx4dtaRIqORnJGESR00QT12mqTRUnCEpt4fthmFUNtu3b2fo\n0KHcfPPNUUtpgz1s96Bcn5FUEtbWhuGwb98+1q1bR2NjI7Nnz+aSSy7h+eefj1qWJ/aMxDAMI4Zs\n3ryZyy67LHme+gaKSqPipraM8iWOU5KmKThx1BWlpnTD0aNHDyCe7VQoZkgMwzCKQPr76Lp37x6R\nkuJjz0iMULG2NgyH5uZmunXrljyfPXs2P/nJTyJU5E978tluRMTChQs5//zz6dGjB71792batGk0\nNzdHLcswYk2XLl3o0MHpYleuXMm4ceMiVlQ8zJAYWRkxYgRr167l4MGD7Ny5k6NHj3LHHXeEXk8c\n545NU3DiqCtKTSLC2LFjmThxIsOGDeOcc86JXFOxqDhDUo77SDZv3swFF1xAt27dmDBhAhMnTuTO\nO+9Mxi9btoyBAwfSs2dPhg8fztatW5Nx1dXVzJ49mwEDBtCjRw8mTZrE4cOHQ9V39tlnJ+d7VZUO\nHTqwY8eOUOswjEpk8eLFLFy4kM6dO0ctxZOy9kdSrINC/JGE8eL/PMo4fPiw9unTRx966CE9evSo\nLlmyRDt16pT0R7J582Y944wzdMOGDXr8+HGdP3++VldX65EjR1TV8UcyZMgQ3bNnj+7fv1/79eun\nc+fO9axr9erV2qNHD99jzZo1vjpXr16t3bt3VxHRU089VVeuXOnTBCVyoGAYRmhQoD+SstlHIs67\n0e8GugKbVPWJUCsI4wFxHmWsW7eOY8eOceONNwIwduxYBg8enIyfN28e06dP5xvf+AYA11xzDffc\ncw/r1q1j5MiRANx0003JpYZjxoxhy5YtnnWNGDGCAwcO5KwxkffgwYO8//771NfXJ4fphmEY5TS1\ndSXwBeAIebrhjSPl5GoX4KyzzmLUqFFMmjQp9LLjOCVpmoITR12mqTRE4SHxMRH5QES2poWPEpHt\nIvKGiMz0yNoXWKOq/wz8qCRiS8CZZ57Je++91yps9+7dyc99+vTh9ttv58CBA8nj0KFDTJw40bO8\nTE6tVq9enXRM5XWsWbMmkOaWlhZ7RmIYAampqWHkyJH85S9/iVpK8ShkXiyfAxiJ4zos1Wf7ScCb\nOD7bO+L6bAemAPcDZwFXAX/npl/oU3am+b9YcuTIEe3Tp48+/PDD2tLSokuXLm31jGTTpk1aVVWl\n69ev1+PHj+uhQ4d02bJl2tzcrKptfbbfddddvj7b82XBggW6e/duVVXdtWuXXnTRRTpu3DjPtHFu\na8MoNevXr3d9taOHDx+OWo4vlJvPdlVdDaRP1A8G3lTVXaraAiwErlDVJ1X1n1T1fWAJcImIPASs\nKq3q4lEOrna3bdvGsGHD6NKlCyNGjKBfv37U19eHWodhVCL33ntv8nPHjh0jVFJcItnZLiLVwG9V\n9Wvu+XjgElWtdc+vBoao6o05lqtTp06luroacN5tM3DgQL71rW8Rxf+ZL5XiajcxF5xwK5rt/IEH\nHmDgwIGB05fifMuWLfz4xz+OjZ4ENTU1sdFj18//fNasWcnwxsZGEkR9/ZqammhoaACcLQSzZs1C\nC9jZHtUy3WpaT22NA+pTzq8GHs6j3EzDttiyatUq3bNnj7a0tGhDQ4N27txZ9+7dG7WsvCikrRsb\nG8MTEhKmKThx1BW1psmTJyenthJErckLKmT573tAVcp5FRW0Misb5mrXIfHLKU6YpuDEUVfUmk4+\nuW0XG7WmYhAXQ7IJOM+d8nofmAhMzqeguro6ampqyupi1dbWUltbG7UMwzBCJvFGiCuvvDJiJd40\nNTWFshw5iuW/TwFrgb4i8o6IXKuqR4EZwApgG/C0qv4pn/IThsQoP+K4vt40BSeOuqLWdOGFFzJ+\n/PhWzzuj1pRKTU1NKK9IKfmIRFU9RxqquhxYXmI5hmEYRWPKlClMmTIlahlFp+L8kdx1111tprbM\nR0bpsLY2jPIhMbVV6KqtijMkXv9P2PsqjMxU0j1lGO0Bc2wVgEKWtYVxNDY2Rq6hlJryJU5zxwlM\nU3DiqMs0lYZ2YUiixu9tvFFimoJhmoITR11Ra/rzn//M0KFDue6665JhUWsqBhVnSOLo2OrgwYNR\nS2iDaQqGaQpOHHVFrWn79u2sW7eOxx9/PBkWtaZUmkJybFWRhiTo8t9cDI5fWq/wQgxZGJq84kxT\n8Lh8deWar5zuqThq8oqLm6b169fnrSdbPbmk9bt+YS3/rThDkgul+oLt2rWrpJq84kxT8LjUsGJp\nypQ+TE2Z6glTE8Tj+sVN0ymnnNImPmpN+ZSdjYpbtRW1BsMwjHLElv8ahmEYkdGup7YMwzCMwjFD\nYhiGYRSEGRLDMAyjIMyQGIZhGAXRbgyJiJwqIhtF5NKotQCIyPki8gsRWSQiP4xaD4CIXCEi80Rk\noYh8N2o9CUTkr0TkERFZFAMtp4rIfLed/j5qPRCv9kkQ43spdt87iGX/VCMiq922+ma29O3GkAC3\nAE9HLSKBqm5X1R/hOPEaHrUeAFV9RlV/APwQR1csUNW3VPUfotbh8n3gV247XR61GIhd+wCxvpdi\n971ziVX/BBwHmoHPEMBbbVkZEhF5TEQ+EJGtaeGjRGS7iLwhIjM98n0Xx2HWR3HR5KYZAywDnouL\nJpc7gDlhagpJV1HIUdcXgHfcz8dioqkk5KmpKPdSIbqK9b3LV1Mx+6d8NQGrVfV7wK3ArKyFR/0W\n2hzfKjsSuADYmhJ2EvAmUA10BLYA/YApwP3AWcDd7ucVwFLc/TNRakorY1lM2kmAe4Fvx+n6paRd\nFANdVwOXummeisO9Xuz2ybOdinovFdpWbppQv3cFtFXR+qcQ7qlOQe6ruPhsD4Sqrnb9uqcyGHhT\nVXcBiMhC4ApV/SnwpJvmDjduKvCRui0UpSZ33vH7OEPHZ8PSU6Cmm4BvA91E5Euq+p8x0XUacA8w\nUERmquq9UekCHgLmuHPZvwlTR76aROQDitg++WgCvkMR76V8dYnIGRTpe5evJlUtWv+UryYROR+4\nBOgBPJyt7LIyJD6kTjWAM583xCuhqs4viaIAmlR1FbCqRHqCanoIp6MsJUF07ceZay8lnrpU9RPg\nOu8sRcdPUxTtk8BP040E6ICKiJ+uUn/vUsl4r5ewf0rFr51+Cvw6aCFl9YzEhzi+48U0Bcd0Bcc0\nBSeOuipWUyUYkveAqpTzKgKsMigypik4pis4pik4cdRVsZoqwZBsAs4TkWoR6YSzrK9oc9emKXRM\nl2kqBnHUVbmairmaogirDp4C3gcO48zrXeuGjwZex1l98C+mKX6aTJdpak+62psme428YRiGURCV\nMLVlGIZhRIgZEsMwDKMgzJAYhmEYBWGGxDAMwygIMySGYRhGQZghMQzDMArCDIlhGIZREGZIDCNC\n3B3Fn4rI5pSw3iLySxHZISKbRGStiFyZpZwdItI3LewBEblFREaIyLZ0PxSGERZmSAyjAEQkjDdo\nv6mqf+2WJzg+KZpU9VxVHQRMAs7OUsZCN11CVwdgHI7PlJdxdi8bRlEwQ2K0G0TkahFZLyKviMhc\nt7NFRA6JyN0iskVEfu/6rEBEeonIYhHZ4B7D3PA6EXlSRF4G5ovI6SKyUkReE5F6EdklIp8TkVki\n8o8p9f+b6/MlE38LHFbVeYkAVd2tqnPcMk4Skf9w9fxBRH7gJnuK1i5tLwLeVtXEK8Il/5YzjMyY\nITHaBSLSD5gADFPVC3B8Ul/lRncGfq+qA4GXgFo3/EHgflUdDIwHHkkp8nwc739XAXXAf6tqf2Ax\n0Afn9dyPAde49XfA6eifJDNfBTZniL8eOOhqGgzUisg5qvoacFxEvu6mmwT8MktdhhEKleDYyjCC\n8G3gQmCTM3vEKcBeN+6Iqia85f0P8F3383eAfm56gK4iciqOkfiNqh52w4cDVwKo6goROeB+fltE\n9onIQODzwGZVPZBFZ6uX34nIHGCEq3EwcDHwNREZ7ybpBpwHvI0zKpkkIn/E8VJ4Z/ZmMYzCMUNi\ntCfmq+ptHuEtKZ+Pc+J7ITje4o6kJnYNyydpZfhNHT0CXAv0xhmhZOOPOM82AFDVGSLyOZzXfSeY\noaorPfIuBH6H4wHwVVX9KEB9hlEwNrVltBdeAMaLSC9w/MCLSJ8seX4HJJ9piMgAn3RrcKbNEJGL\ngZ4pcb8GRgGDgBXZRKrqi8BnRSTVde6pKZ9XADckHvKLSF8R6ezm3Qn8L/BTbFrLKCFmSIx2gar+\nCbgD+J2I/AHHSHw+EZ2aNOX8JmCQ+1D7j8D0tHQJZgEXu8trx+NMmTW79bYALwK/0uA+G64Eviki\nO0VkPdAA3OLGPQJsAza79f2C1jMLTwFfBpYErMswCsb8kRhGgbie5Y6p6jERGQr8PGU5bwec5y7j\nVXWHR95q4Leq+rUiayxJPUb7xEYkhlE4fYCNIrIFZ6VXLYCIfAV4A2dFVxsj4nIU6J66ITFsRGQk\njvtUe2ZiFAUbkRiGYRgFYSMSwzAMoyDMkBiGYRgFYYbEMAzDKAgzJIZhGEZBmCExDMMwCsIMiWEY\nhlEQ/w9nPWqJ75y+NAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f886cd41050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.observables\n",
"modules.observables.drawObservables(\"simple case\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### distributions"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f888c5c1950>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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F64r49fIqxopMAB4QkefJ2zumA0/Vc2FVne9x/B7gnnr6HN1Xgx0EzZnlOOWV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\nwzAMIxRMoBiGYRih8P8DQ09nsN24vAwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f88673cbb90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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1SagebAPyr8PHmwHwmfdnKQoPzpqFwVmz8tY1OGtWtlxKHtIDAzk9HNtY5TMm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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f886c431f90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import modules.timing\n",
"import modules.spectrum\n",
"import modules.arrival_angle\n",
"\n",
"modules.spectrum.drawSpectrum([\"simple case\"],plot_gen=True)\n",
"modules.arrival_angle.drawArrivalAngle([\"simple case\"],plot_gen=True)\n",
"modules.timing.drawTiming([\"simple case\"],plot_gen=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### time delay using convolution"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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E6oCdgbUFqpOIiBRR2MAwyN0vB9a6+xTgGODAwlVLCknjuBFSjiFSapulIWxg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\nSaPAICIiaf4/y+YQ7MqVr6MAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f888c5c1610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"reload(modules.timing)\n",
"modules.timing.drawConvolveTiming([\"simple case\"])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}