{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true, "collapsed": false }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import logging\n", "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "df = pd.read_csv('../examples/example_wp_peyton_manning.csv')\n", "df['y'] = np.log(df['y'])\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(periods=366)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true, "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "library(prophet)\n", "df <- read.csv('../examples/example_wp_peyton_manning.csv')\n", "df$y <- log(df$y)\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, periods=366)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Specifying Seasonalities\n", "\n", "Prophet will by default fit weekly and yearly seasonalities, if the time series is more than two cycles long. It will also fit daily seasonality for a sub-daily time series. You can add other seasonalities (monthly, quarterly, hourly) using the `add_seasonality` method (Python) or function (R).\n", "\n", "The inputs to this function are a name, the period of the seasonality in days, and the number of Fourier terms for the seasonality. Increasing the number of Fourier terms allows the seasonality to fit faster changing cycles, but can also lead to overfitting: $N$ Fourier terms corresponds to $2N$ variables used for modeling the cycle. For reference, by default Prophet uses 3 terms for weekly seasonality and 10 for yearly seasonality. An optional input to `add_seasonality` is the prior scale for that seasonal component - this is discussed below.\n", "\n", "As an example, here we fit the Peyton Manning data from the Quickstart, but replace the weekly seasonality with monthly seasonality. The monthly seasonality then will appear in the components plot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hBtIdUQJibW0tPv74YzEObdQUchl+eCgePUOc8ezqY4iZuQPfP9gG90d6iF2a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BiEEEIIYRhSIJqoS7UN3PPFXmytLJg5MIIQDwejxqPRaBjb3o+dZ8vIuXjZqLEIIYQQQl1SIJqo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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = Prophet(weekly_seasonality=False)\n", "m.add_seasonality(name='monthly', period=30.5, fourier_order=5)\n", "forecast = m.fit(df).predict(future)\n", "m.plot_components(forecast);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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u3LlHHt4sln39oi/HWqfNKm9QT9ib2ceTt3a4Dwbz4QIATMGdR1873Oe1GPf1\nV4rifrw7Ldz59ThPoYlWpQNG6UIzf7WTVKFZ8svjR9WN2xIDgwTstn+gEzrQPVIqUyXuyRzobb9m\nqA8poQxd2RYDXdkW08W7sp+VV6tYd7nol4fVs6JclsR4OLFNNvgGurJb1PY9ZgRBXnnllW+//fbp\nt7Nnz/755587f2zz/WKG9ZhNtcanXo/890rBl3/mbRgdlBTmYpJ9tohOpxu12m6RVJHwU2pCkOCz\nEQFkXSobllNVKBTkHL6jjG1qa2BYj5mKK9dSrqkN6zHDu7oZSaV8zaXcs9mV/9dHtCRO5Mg2wdUz\n/AF5lkajsbf/13zmzYO5W7duCIIUFBR4eXk9/Rk+n3/79u3OH54SV8xPXSusW3BMMirI8aMXvM30\nfLBRn8IKpcrEPRljgwXvD/QyRzHtBFfMFgNXzBYDV8ytyKqQr00p/COvbmFv10W93Tq5YB1cMbeo\njStmQ3Y2u2Lm8/kEYYKuDGoFM4Ig5Q3qhceyGzW6reMCPc0wUrH9Jzu/Vpm4JyMpVPBOfzJTGYFg\ntiAIZouBYG7T/TL5FymFN4rqFvV2X9jbtcMr10Ewt6iNUdkCgUAgEBw4cEDQhElSmYqEHNrhqd3j\nxfYv/JRG4uKmOTWKMbvuTwsXkp7KAICuKdSFvXNi0P7JwbeK63p++1fy9WK52nbWGrA2MFdUG3AM\nXTXQa+NI/5dPPvoipVCrs/QEYY+qGsfuypjX03VFP08LHxoAAJqKcuPunRS8a2K3P/Lqen331/e3\nShQaiGfTg2Bul+EBDudnh51/VDPlQFaVXGOx42ZVyMfuzlgU7bY01sNiBwUAgFb09uQdmhK8NTHw\n9MPq3t+lbrldotJSckpjqwXB3F5iPuP0rDAve8bgbfduFVvitl9mhTxxT+bSOI9X+7hb4HAAANB+\nsSK7EzNCvhnldySzKvr71J9Ty2xpIV1yQTAbgYGj61/0fae/aMr+rB9vl5h12Yv0sobxezLe7Oe5\nsJebGQ8DAACdMMCHf3pW6PoXfXffK4/94e7etAqNxe/32R4IZqNNCReenBmy7U7p/GPZMpXWHIdI\nLZFN3PfgvQFe83q6mmP/AABgQi/48s/NDvt0qPePt5/0/fHuwfsVlh+OY0sgmDuiuzP71znhOr1+\n6Pb0B6Ze0PR2cf3k/Q8+HCyeGWnGuU0AAMCEUBQZEeB4cW7E+4PEydef9N9679JcSAMAACAASURB\nVNiDKooup0s6COYO4jHwbYlBs6NcRu3MOHC/wlS7vVFUP/VA1qdDvKeEOZtqnwAAYBkoiowKcvz9\npfA3+np+kVI4cGvaLw+rIZ2NBcHccSiKLOrttndSt09+L1hxNqfz4xKvFtRNP5j15QjfpFBIZQAA\nVWEoOr674PL8iFf7uH9wMX/I9rTzj2rILopKIJg7K9qTd3FeeG6NImFHeoG049Ma/5knnXno4YYE\nv3HBTiYsDwAASIFj6OQw56sLI+b1cH37fO7wn9Mv5VJsbjWyQDCbgIBNOzA5+AU//tDt6R37YHgp\nVzr3SPam0X6jghxNXh4AAJCFhmPTI4TX/y9yapjw9V8eDduW+ntONdlFWbsuOtemyeEY+k5/r94e\ndq+elMyKcn073hPH/l73olGtU2p1DSqtRofUKTU6PSJVaHR6fZ1SixH11TJ5baPmv9ee/DA2YIgf\nn9zfAgAAzIGOY3N6uEyLEO5Or5q9L83PgfF2f68YEY/suqxUy8s+mgnlFrHogEKp8qWj2Xm1Cr0e\nUWp1jf9MJ8umYXQc4zFwDEX4TAJFUXsmQSNwNo7QcXRquLC/t33re7YSsIiFxcAiFhYDi1hYDIPB\n0KJE8p+PNl4rDnPlrOzn2cuDAvFs4UUs4IrZxET2jFMzQx5XK9g0nEGgTAJj0XDGc1aNpOK/KwAA\n6Aw2HX852m1WpHDLndLphx72dOO+1V8U4cohuy4rAveYTY+OY8HObDGf4cql85nE81IZAAC6LA4d\nXxrrcXtRVE8P7sS9mbMPP8w09ZwQ1NXxK+aDBw/euHEDQZCGhobevXvPmzcPQZDKysrly5cLhUIE\nQZYtW+bhAUsvAAAAaBmPgb/R13N+T9fvbpYk/Hz/BT/+ynjPIAGb7LpI1vFgTkpKSkpKQhBk06ZN\nCQkJho3l5eUjR46cPHmyaaoDAABg6+yZxNv9RQt7uW66WTJse3qsiPfpUF8/RybZdZGms13Z+fn5\nLBbL1fXvKZ3Ly8uLi4uTk5MvXbrU6doAAAB0FY5s2vsDve680sOBSQzeem/6gQdns63iwap7JbLU\n4rp7JTLDfxY4YmdHZa9fv37hwoU83t/D6m7cuCGVSnv06LFhw4akpKSIiAgEQT788MOysjI+n//h\nhx+aoOSWYBiGoqhWa5YlJcwHx3HK1YxhGIZhGo3lFqU2CYo2NbyrLQPe1RbTzqYuqVO8eSrr1IOK\noQFO83qLXHh0w/YenhZ6euWvon8N0ccwTKfTmakGpVLJ5XKbbunUqGyZTNbY2Pg0lREE6dOnj+GL\nwYMHZ2dnG4J56NChcrmcwWAoFIrOHK4VdDodwzDz7d9MGAyGUtnxycJIQRAEnU6HprYAGo1GEAQ0\ntQXAu9pi2vmudqAjW8Z3O5ct2JlaOmV36ohApxmRrs5c+vWcthcmiHR/7vNXd5/UP32B4ev2l61W\nqw1fm/x98uzHlE4F8507d8LDw5tu2bNnT/fu3SMjIwsKCvz9/Q0b4+LiDF+Y7zlmDMMIgqDce5SK\nNSPULJuKNaMoiqIo5cqmYlPr9Xoqlk3FmhEEwTCsnWUPFPMGinnnJdU775bPOJDxYoDDlHChI6uN\n2LqZV9XJFzwLx3GVSmX42gJt3ql7zLdu3YqMjDR8nZ2dnZycPGTIkH379q1ataq2tjY2NtYUFQIA\nAOi6hgU4rujn+cOYgHqlds7hhz/eLpEqKNaBbyyY+YtMVJxgBGb+shiY+ctiYOYvi2EwGAwGo66u\nztgfNIy6KpAqd94tu1FUP66b08RQZzsGboYaW8BisRobGw1fR7hxW39xBzSb+QsmGAEAAGDtDHHo\nZc94b4DXfxP8CqXKWYcf7kgta1DZ4NUzBDMAAAAKiHDjGuLZx4G5erB43QgfSXXjzEMP96SVy/9Z\nlcA2QDADAACgjKc9yf6OrI9f8P5smHd6acOMg1kH0iuUGhuJZwhmAAAAVNL0Lm+QgP3ZMJ9Phnjf\nflI/41DWkcxKlc5yA6fMBIIZAAAAxTQbgdVdyF473Pf9geKUPOnMg1nHH1SpqRzPEMwAAACo59nR\n0eGunK8T/FbGe17IrZ19+OEv2dUaHSU7t2E9ZgAAAJRkyOZm81f3dOf1dOfdLKrfnlq29175rCiX\nF3z5OEal5XchmAEAAFBYhBv32bUloj15vT141wrrtqeW7r5XPivKZZCPPYZSI56hKxsAAAC1tTjp\nB4oicV52P4wJfKmX29608gXHJH/kSnUWnFOrwyCYAQAAUN7zJuRCUaS/2O7HsQHTI4TbU8sWHZdc\nKaiz8nSGYAYAAGALWpksE0PRwb78reMCJoY6/3Cz5JWTkhtFRk8LajFwjxkAAICNaPF+81MYhg7z\ndxjsa3/+Ue3Ga08cWRWzo4S9PJ67TCRZIJgBAADYjtazGUEQAsMSAh2H+vPPZNesu1LkyqXPiXKJ\nNMPSFB0GXdkAAABsSnsWgKJh2JhuTjsmduvvbb/mj4IVZ3Pul8stUFt7QDADAACwNe1cnJGOoeO7\nC3ZO7NbHk7f6Qt7b53MeVJAfzxDMAAAAbFD7F05mEFhSqPOuid3CXbnv/Za36rc8SVWjWWtrnUXv\nMaNmfrjb3Ps3ByrWjFCzbMrVjP6D7EKMRrmaoaktxlCwxcqOdOe1fr+5KTYdnx7hMi5YcDij8s1z\nuZGunFlRLn6OLMP/fVqzBYpH9RZ8nquhocFMe6bRaBiGKZVKM+3fTOh0ukqlIrsK4xAEQRCEQqEg\nuxDjULSpcRyHd7UF4DhOo9HgXW0BpPwBSS02+smoepV2/73SQ+nlfUR283p5+At5arXa8L+iPOxM\nW55Go7G3t2+6xaJXzI2NZuwcIAjCrPs3BwzDKFczg8GgYtlUrJnJZCJm/ldjDlRsajqdjuM45cqm\nYlMzGAwURS1cdjdHWvuvmw3oCDIzXDA2yGF/esXCI5nxvg7TQgUednTEIv8k4R4zAAAAG9f++81N\n2THwBb1cd0wM4jOJRScka1MKS2WW6KKAYAYAAGD7OpbNCILwmcSSvuLt4wPZdHzxyUdytdmXkoRg\nBgAA0CV0OJsRBHFi0xb3cd85sRubZvbchGAGAADQVXQmmxEEYZk/lREIZgAAAF1KJ7PZAiCYAQAA\ndC1Wns0QzAAAALoca85mCGYAAABdkdVmMwQzAACALso6sxmCGQAAQNdlhdkMwQwAAABYEQhmAAAA\nXZq1XTRDMAMAAOjqrCqbIZgBAAAAK8pmCGYAAAAAQawmmyGYAQAAgL9ZQzYTHf7JgwcP3rhxA0GQ\nhoaG3r17z5s3D0EQtVq9ceNGmUwmFovnzJljqioBAAAAy4hw494rkZFYQMevmJOSktatW7du3brQ\n0NCEhATDxuvXr7u7u69evbqkpKSwsNBERQIAAACWQ+51c2e7svPz81kslqurq+FbiUTi5+eHIIiP\nj49EIulsdQAAAAAZSMzmjndlGxw6dGjhwoVPv5XL5U5OTgiCCASChoYGw8YJEybk5+cLhcLTp093\n8nCtYzAYZt2/ObBYLLJL6AiBQEB2CUajaFPDu9pi4F1tMVRp6hcEgjuFtYavn/5LFAj4pj2KXC5v\ntqVTwSyTyRobG3k83tMtbDa7qqrKz8+vqqrK2dnZsHHHjh1arRbDsKqqqs4crhVMJpMgCJmMzLsC\nHcDhcJ5+fKEKOp3OZDLr6urILsQ4VGxqJpNJo9Hq6+vJLsQ4VGxqOp3OYrGkUinZhRiHik3NYDDo\ndDqF3tVSqQxBEBaL1djYaNhSxdaa/ChsNrvpt50K5jt37oSHhzfdEhAQkJeXFx0dnZ+fHxcXZ9jI\n4XAMXygUis4crk16vd6s+zc5vV5PuZoNKFc2FZta/w+yCzEOdWumaNlkV2EcQ8EUKjvclXOvRNa0\nqS1QfKfuMd+6dSsyMtLwdXZ2dnJyckxMTHFx8dq1a4VCoUgkMkWFAAAAAGksf7MZteQnl8rKSjPt\nmcViEQRBoe4RA4r2RDGZTOj0swDoyrYY6Mq2GAaDwWAwqHgv7OqjMsPX5sjpZjfdYYIRAAAAoA2W\nvG6GYAYAAADaZrFshmAGAAAA2sUy2QzBDAAAAFgRCGYAAADAikAwAwAAAFYEghkAAACwIhDMAAAA\ngBWBYAYAAACsCAQzAAAAYEUgmAEAAAArYtG5ss3nl19+efjw4fLly8kuxPZdvXr1zJkzH3/8MdmF\n2L7z58/fvXt35cqVZBdi+27dunX48OHPP/+c7EJs36VLl65cubJq1SqyC7FqNnLFLJPJampqyK6i\nS2hsbDTfYiSgKZlMZr4lzEFTjY2NFRUVZFfRJcjlcnhXt8lGgpnL5To4OJBdRZfAYrGaLYQCzITL\n5To5OZFdRZfAYrGcnZ3JrqJLYLPZ8K5uk410ZQMAAAC2wUaumAEAAADbQJBdgBHkcvlnn32m0WjY\nbPbKlSsxDNu4caNMJhOLxXPmzFGr1U2/bWho+Pzzz7VarVAoXLp0KYqiZJdPJa03teE1H3/88Ztv\nvslkMpu1PJl1U5BRTd3sxQwGg9TaKcaopjZ8e+/evQsXLsCoUmMZ1dQ6nW7z5s0VFRV2dnavvfYa\n/K1GEAT/4IMPyK6hvc6fP+/k5LRkyZLi4uLKysrS0lK9Xr948eIzZ854e3vfv3+/6be3b98WCASL\nFy++evWqQCCAuxpGab2pMQx777330tPTk5KSCIK4evVq0/9rb29PdvlUYlRTN3uxn58f2eVTiVFN\njSCIXC7/5ptvuFxubGws2bVTjFFNfevWrfr6+sWLF6tUKjqdzuPxyC6ffFTqyvb39x84cCCCIDwe\nj0ajSSQSwx8mHx8fiUTS7FtnZ+eCgoLq6uqqqio+n09u5ZTTelNzudwvvvgiLCzM8OJm/5e8qinJ\nqKZu9mLSiqYmo5oaQZDt27dPnDiRrGopzaimzszM1Gq1GzdulMvlrq6uJJZtPagUzEFBQQKB4ObN\nm1euXImOjpbL5YbrYIFA0NDQ0Oxbf3//x48ff/nllziOQzAbq/WmRlEUx3EM+/vN0+z/klk3BRnV\n1M1eTGrh1GNUU9+8edPFxUUsFpNaMlUZ1dQymay0tHTKlCk3btxITU0ltXBrQaVg1uv1Bw4cuHz5\n8qpVq9hsNpvNNjwPV1VVxeFwmn174MCB2bNnf/bZZxEREb///jvJpVNN603d7MWt/1/QOqOautmL\nyaiXwoxq6mPHjmVkZHzzzTfp6ennzp0jo14KM6qpORzO0KFDhUJh//79Hz9+TEa9VodKwXzt2jWZ\nTLZs2TIul4sgSEBAQF5eHoIg+fn5AQEBzb7VaDQ6nQ5BEJ1Op9FoyKybglpv6mYvbv3/gtYZ1dTN\nXgyMYlRTr1mz5j//+c/ixYvDwsKGDx9u+Wopzaim9vf3N9wCy8nJcXFxsXix1ohKg79OnTp1//79\nP/7447fffmMwGLGxsRcuXEhJSREKhQMGDHB3d2/6rVgs3r59+++//y6VSqdPn24YzQHaqfWmNrzm\n0qVL/fv3JwiiWcuTWznlGNXUzV4MHa1GMaqpDd82NDSkpaXB4C9jGfsH5MyZM7/88oter588efLT\nLu6uDCYYAQAAAKwIfDYBAAAArAgEMwAAAGBFIJgBAAAAKwLBDAAAAFgRCGYAAADAikAwA9C1fP75\n5xs2bCC7CgDAc0EwAwAAAFYEghkA26dSqRYtWiQWi6Ojo9PS0hAEkUqlo0aN8vT09Pf3v3DhAtkF\nAgD+B4IZANu3devWvLy87OzskydPXr58GUGQ3bt3Ozg4FBYWfvfddydOnCC7QADA/0AwA2D7/vjj\nj1deeYXBYLi4uEyaNAlBkLi4uJSUlPfff5/L5cItZwCsCgQzALYPwzAURQ1f4ziOIEhkZGRqaqqH\nh8cHH3wwfvx4UqsDAPwLzJUNgO374YcfTp48efTo0bq6uujo6Ndee00qlWq12o8++ujJkyeBgYF1\ndXWweAAAVgLWXALA9s2dOzc1NTUoKMjZ2XnmzJkODg5jxoyZMmXKzz//TKPRkpOTIZUBsB5wxQwA\nAABYEfiYDAAAAFgRCGYAAADAikAwAwAAAFYEghkAAACwIhDMAAAAgBWBYAYAAACsCAQzAAAAYEUg\nmAEAAAArAsEMAAAAWBGSp+RsaGgw4d4wDMMwTKPRmHCfZMFxXKvVkl2FCdjSSUFs6LwgCEKj0TQa\njc3M/WdLpwaBs2PdaDSaVqvV6XSm2iGHw2n6LcnB3NjYaMK9MRgMJpNp2n2ShcPh2MYvYksnBbGh\n84IgiOG8qNVqsgsxDVs6NQiCMBgMtVoNZ8c6MRgM0/7baRbM0JUNAAAAWBEIZgAAAMCKQDADAAAA\nVgSCGQAAALAiEMwAAACAFYFgBgAAAKwIyY9LUY5MpT2cUXnyYXV6WUO1XM1j4D3ceWO6OU4Nc6bh\n8CkHAABAZ0Ewt5dWp99yp/SrK0UhQs7EUMFnQ72dObQ6pfZqQd1Pf5V+c/3JptH+vT14ZJcJAACA\n2iCY2+VxteKVkxKtTr9zYrdoz/+lL59JeIU5Tw513pdeMWV/1qdDxFPChSTWCQAAgOogmNt2TlKz\n+NSj/+vt9nqcB4Ghz74ARZGp4c5BAtaUAw9YNHxssJPliwQAAGAbIJjb8NNfpZ/9WfjD2IDBvvzW\nX9nDnbtjQrfpB7PcefTentCnDQAAoCNgvFJrvr5a/NWV4uPTQ9pMZYMYEe/jIeJFJyT1StuZrh0A\nAIAlmT6YP/74Y4VC8fRbtVq9fv36Dz/8cPv27SY/llmtv1L0c2rZyZkhwc7s9v/UtHBhpBv33d/y\nzFYXAAAAW2bKYK6vr1+xYsWtW7eabrx+/bq7u/vq1atLSkoKCwtNeDiz+vbGkx2pZcenh3jzmcb+\n7JcjfM9Jqm8U1ZujMAAAALbNlMHM5XK/+OKLsLCwphslEomfnx+CID4+PhKJxISHM5+9aRXJ158c\nmtpdzGd04McdWcTKfp7vnM/V6mxkLVUAAAAWY8rBXyiK4jiOYf8Ke7lc7uTkhCCIQCBoaGgwbFy/\nfn1FRYW9vf3y5ctNWACGYTiO83idGnh1LrvyPxfzf5nbo4enfYd38toA7q60ytO5DdMi3Tq2B4Ig\nmrUkRZnkpFgPmzkvCIJgGMZms0242Du5bOnUIAiC4zicHatl2rOjUqmabTH7qGw2m11VVeXn51dV\nVeXs7GzYGB4eXl9fz2KxTLsMuOHcd2af6aWyWfvStk7oHu7C7mRt7wz0/uC3R+ODnfCWnrBqUyd/\nEevR+ZNiVWzpd6HRaBqNRqu1kYGKtnRqEDg71s20Z+fZ/Zg9mAMCAvLy8qKjo/Pz8+Pi4gwbhw4d\naviisrLShMdiMBg4jjcdemaUUpkqaff9d/uLBnhxOryTp4b6cD/F0D1/FSWFOnfgxzvzi1iVTp4U\na2NLvwuLxVKpVDbz59KWTg2CIEwmE86O1TL32TFj30J2dnZycnJMTExxcfHatWuFQqFIJDLf4TpJ\nqdXPPvwwIdBhXk9Xk+wQQ9E3+nomX3+ihxvNAAAA2g3Vk5obJr9iZjKZUqm0Az/76slH5Q3qvZO6\ntTi3V8dodPre36f+N8Gvv7fRt6s5HM7TW/KU1pmTYoVs5rwgCOLg4CCTyWzmmsyWTg2CIHw+v6Gh\nAc6OdTL52REIBE2/tZ278Z3xw62Sm0X1P44NMGEqIwhCYOjcKJfNt0tNuE8AAAC2DYIZuVJQ9+Xl\noh0TgxxYpr/jPiNCmJIvLZAqTb5nAAAANqmrB3NJvWrBsex1I3yNmt6r/RzZtFFBjrvvlZlj5wAA\nAGxPlw5mtVb30tHsCd0F48y5HtS0cOH+9EodjAEDAADQDl06mD+8VIChyOrBYrMeJVZkR8PQP3Jt\nZPQTAAAAs+q6wXzqYfWRzMotiYGmHfD1LBRFpoYL96ZXmPUoAAAAbEMXDea8WsWy04+/He3vyqVb\n4HCTQgXnJNUNKhuZxAcAAID5dMVgVmn1Lx3NXtDLdaBPu1ZZ7jxPe0Z3Ief8oxrLHA4AAAB1dcVg\nXn0hj0vH3+jracmDjgt2OvagypJHBAAAQEVdLpjPZFcfe1D1w9iAjq0t0WFjg50u5tTWKTWWPCgA\nAADK6VrBXFynfP1MzjeWurXclCuXHuXGPSeB3mwAAACt6ULBrNXpF52QTAlzfsHXQreWm0kIcjyd\nXU3KoQEAAFBFFwrmr68WN6p17w0gbYWrhEDHS7lSpRZmGgEAAPBcXSWYbxXXf3ez5IexgXSctF/Z\ny57hzWf8nlNLVgEAAACsX5cI5nqldtFxySdDvP0cmeRWkhDoeEYCvdkAAACey/TrKRmFw+GYcG84\njuM4/uw+Xzt9v5eIPz/W24TH6phx4R7jd6Sy2Ry0rSHhNBrNtI1DluedFIqymfOCIAiKokwmk063\n9EBIM7GlU4MgCIZhcHaslmnPzrPrOpMczKZdOpvBYKAo2myfhzMq/8yp/mN+hDUs0x1ghyEIcvVx\nWaQbt/VX2sy64i2eFOqymfOCIAidTlcoFCZc7J1ctnRqEASh0WhwdqyWuc8OycFsbkVS5dvnc7eN\nD+QzreI3RVHkBV/+b49r2wxmAABFNai06WVyqULjxqN3c2bTcYtOmQBsgFXElZno9PrFpx5NjxDG\ni+3JruV/hvo7fHP9yYp+Fp13DABgAYVS5ad/FJzOrhbZM/hMorhOVa/UTgpzXhLj7sazkU5pYAG2\nHMybbjypVWjeHeBFdiH/MsDbftHx7Cq5xolty40PQFezL6383d/ypoULry6I9LRnGDZmVch/vF0S\nv+XeewNEc3u4klshoAqbzYaMcvnXV4t/mRlqbf1IPAbey4N3Kbd2YoiA7FoAAKax/krRtjulB6cE\n93TnNd3ezZn91Yt+MyJc/u+45M4T2Vcv+lnbXyRghWzzcSmlVv/yCcnKeFGwM5vsWlow0Jf/ey48\nzQyAjdh8u3Tn3fIzs8OapfJTPdy55+eEPalTTT+Y1ajWWbg8QDm2GcyfXMp35tAW9rLSjqOB3va/\n50r1MAMYANR3/lHNl5cL907q5vVP93WLHFjE3snBDAKdeuABTP8HWmeDwfxnnnT//YrkUf5Ymw8L\nkyTclaPW6rIq5WQXAgDolFKZaskvj74Z5d+ezjkGjm5LDKTj6IJj2RodZDN4LlsL5ppG9WunHn0x\nzMfdisdAYija39v+EszNCQCV6fXIa6ceJwYLhvk7tPNH6Di2fUK3cpn63V/zzFkaoDZbC+bFRzPi\nvOwSu1v7uKpBcJsZAIo7lFGRX6tYPVhs1E+xadjOiUG/Pa754VaJmQoDVGdTwSxVaGQq7efDfMgu\npG39xfY3iupVWhgGAgAl1So0qy/mfzHMh0kY/VfUmUPbk9Rt3eUi6DYDLbKpYLZnEsfn9LS3jkm+\nWudpz3Dh0v96Yjtz1AHQpay/XBQrshvU0cXduzmzN470W3TyUV6twrSFARtgU8FMLfFi+z/z4PMy\nANRTKFXuulf+/qBOTV70YqDjgp6usw49lMMDVM9Xq9CklzWklzVUy21k2vD2oMDFpa2K97bfeqdk\nZbyI7EIAAMZZ80fB1HBnb35nl5F9o6/nvdKGJb882jw20FofIiFHbo1i593yk1lVhXVKw0jeknqV\nC5c+PMBhRoQwzIW0hareOJMTI+It6NfBnpJ2gitm0vQT2/31RAYflgGgluzKxnOPat7oa4KP1CiK\nfDvaP7Nc/t9rRZ3fm22obtQs+eXRoG1pdUrNhpF++Sv6/PVKj79e6VGwInprYgCLwCbszZy8/0FW\nBQmPmx5/UHX+Uc1g3/YOwu8wuGImjYBN83Nk3SiqH+RjRWtsAABa9/XVolmRLqaa657HwHdMCErY\neb+7kNP+x646oLxBnV7WkF+jkKm0DizCx4HZy4PXgZFrZnVWUv366cdD/R1v/F+kC/dfj7zScKyn\nO6+nO+/Nfp6bbjxJ2Hl/QS/XFX09abiFfoW8WsWKsznbxgdaYJkDUx5ArVZv3LhRJpOJxeI5c+YY\nNlZWVi5fvlwoFCIIsmzZMg8PDxMeker6etldyZdCMANAFY+rFWclNTcXRZlwn/5OrO/GBPzfccnJ\nGSEmn0VYptLuT6/Yn16RWd7QXcjxdWRyaHhqSYOkqjS3pnFEgOOCXm4xopZnErUkvR75PKVg+19l\n34z2H+rX2gcUDh1fGS+aFOb86slHF3MytiUGilqdc80kVFr9S0ezF/RytcxahaYM5uvXr7u7u0+d\nOvWzzz4rLCwUiUQIgpSXl48cOXLy5MkmPJDN6Cu233TjCdlVAADaa9ON4qnhzs4cmml3+4Ivf2W8\n5/SDWadnhbpyTTM5UoNK+/2tku9vloS7cl7t4z7Ej8+h401fUFKv2ptWMe/owwhXzpqhPj4Onb1l\n3mFqrW7p6Zz0sobf5oa3M2W9+cwT00M+Tyka8lPa1sTAfmbOy3d/zeUziTf6Wmi5XlMGs0QiCQ0N\nRRDEx8dHIpE8Debi4uLk5OTQ0NBBgwYZXnn06NG6ujo2m52QkGDCAgiCwDCMxWKZcJ9mNThQ+H/H\nJTqc3uwfDIIgBEFQ6BdpBeVOSuts5rwgCIKiKIPBIAgbuZ9lgVNTJlMdyay6+Wq0OQ60NN73iUw7\n7eDDcy/1sGMQGIZ15uzsTytbde5RiAvnxOzIHh52Lb7Gl8V6b4j96/191v2ZP+Sn9A+H+i2INleP\nZitnR6XVzT2QUS1X/bagF9/Ih10/GREYLXaYc+TBZyP8Z/VwN0WlLdjx15MLOdLLi3pz//lA1smz\n04xGo2m2xZT/JuVyuZOTE4IgAoGgoeHvJ3RZLFZoaGiPHj02bNjg6OgYERGBIEhZWVl1dTWPx8Px\n5oHUGRiGoShq2n2alZCHBzpzbhTVDw1wava/qPWLtIJyJ6V1Nva7YJh13WLsDAucmh9vFo/s5uwr\n4Jpp/2tHBs07eD9x572Tc3qwO3p2HlfJl5zIyqtu3JQY/GKQc5uvt2PhcVh3BQAAIABJREFUHw0P\nSAxznbkv7Uah9NvE7iya6ZvxeWdHrdXNOpBZp9CcmNPz2euT9kgMdRU7sMfvSH1Sr35vsG+nK23u\nRoH0nbOPT83t4WL3vx4F0/7b0Wq1zbagetMtcrRt27bQ0NDo6Oj9+/c7OzsPHjy46f+9ePFiVVVV\nUlJS042VlZWmOjqCIAwGg8lkSqVSE+7T3N45n8uh46sGNn8gksPhPP1wQ2lUPCmtsJnzgiCIg4OD\nTCZTq23k8VBzn5pGtS7y278OTA6OcDXjszoanX7hsexSmfrU/D4Mvcqos6PR6b+/WfLV1aKXerq9\n0dfD2IFdUoVm0QlJrUK7O6mbI8vE/Sgtnh2dXv/yiUfFdcqDU7qzaJ3Kufxa5eT9mX297NcO98Ex\nkz15VihVjvg5/YPB4qTQf33E4fP5DQ0NJvy3IxD8axppU35eDggIyMvLQxAkPz8/ICDAsHHPnj13\n795FEKSgoMDNzc2Eh7MNfcX2VwvryK4CANCGQxkVgU5Ms6YygiAEhv44LtDPiTXwu+t5NUZMCpZa\nIhv+c/rxrKqTM0LfGyDqwHBreyaxc2K37s7skTvvF9cpjf3xDnjn17xH1Y17JnXrZCojCCLmM36Z\nGZZe1vDSsWxTrapZ06iZeiBreoSwWSpbgCmDOSYmpri4eO3atUKhUCQSZWdnJycnDxkyZN++fatW\nraqtrY2NjTXh4WxDrMjuXkkDrJ0OgDXT65HNt0sX9jbXXcymCAzdmOCXFOE2aMtfJ7Kq2nx9qUy1\n7PTjpH0PJoc5n50VGiLs+LhuAkPXv+ibEOg4eldGgdS82fz11eKLj2v3TQq2Y5jm6tyJTRyd1r1R\nrZu4N6NW0fyurbHkat2MQ1mRbpx3+ndqfreOMWVXdgdAVzaCIP0231sz1Lu/979GFdpMlylFT8rz\n2Mx5QaAr2xgp+dIlvzy+tSiKMF03aev4fP6p9KLFJ7K7CVjvDPBq8Ur9cbViy53S/enlY7s5vd1f\n5GKi4dwIgnx5uWhvWvmx6SFeJnoSqdnZ2ZdW/uGlgtOzQk0+FFyt1S07k5NaIts7KbjDxTeqddMP\nZnEZ+NZxAS0+J23urmwbGZBJabFevGuFdc2CGQBgPbbdKZ0d5WKxVDYY5OtwdWFk8vXiSfsyRfaM\nwb58fycWj47LVNrMCnlKnlRS1ZgU6vzrnHA/RxPH25v9PPV6/bjdGSemh3ia+inhS7nSVRfyD0wO\nNscDWjQcSx7p/+XlwuHb07cmBsZ5tTwivRVShWb6wSw+i9jynFS2AAhm8sWK7HaklpFdBQCgZSX1\nqgs5tV+OMP2I3zaxadhb8aKlsR4XHtem5EuPZVbVqzRcOh4oYC/v6znIh9/5u7PPszJepNHpE/dk\nnpgR4sYz2bV4WmnDgmPZ34727+FursHtKIqsjBcFCdgzDz18o6/Hy9Hu7Z+HPK9WMevQwxAhe+NI\nP7JSGYFgtgaxIrulvzxWafV0HKaxB8Dq7LhblhDoKGCbeFKR9mMS2Mggx5FBjhY+7rsDvFRafeKe\njOPTQ0zST55bo5h64MEHg8VmnXzUYGywU6CAteCY5Pfc2vUv+rVn3pKTD6tXnM2Z39N1RV9PctcU\nsZ2nGKnLjUd35dJTS2RkFwIAaE6t1e26Wz63hyvZhZDjg8HiF3wdxu/NLG/o7P3UUpkqaV/m/F5u\nMyKEJqmtTcHO7F/nhAULOQO3pn2RUlinfO6IMElV45wjD1f9mvvdaP83+5GcyggEs5WIEfGuFdjI\n8CgAbMm5RzV8FtHHk/zZpMnyyRDvAd7243ZnlMpUHd5JuUw1fk9mQqDjsjiLLpfAomEfDhafmhly\nv0we8c1fr59+fCa7ukym0un1Wp0+v1Z5KKNyxqGsYdvTfR1YKQsiBvuadz3HdoKubKsQ62V34kHb\nz0UAACzs59Ty2VEuZFdBJhRFPh3is/pi3qid9w9N7d6BVahLZapJ+9MH+PA/HOxthgLbFuzM3jkx\n6HG1Yn96+ddXizPK5SqtDkEQDh2PdOUkBDn+N8HfAmtGtZ8VldKVxYjs3v8tX6vTm3DOGgBAJ+XV\nKm4V128ZF0B2ISRDUeSjF7z5TNrIHfd3TAzq6W5E/0FujSJpX+aY7i7v9/cgt4vYz5H57gCvdwcg\nCIJIFRoMRXkMK51eF7qyrYKvA5NJoJlkLP0NAHienXfLx3RztDdyZQVbtbyvx38GiSfty9qTVt7O\nH/kzTzri5/QZEcIvEgJJv3HblD2TsNpURuCK2XrEiOyuF9aHuZh3wj8AQDuptLq9aeU7JgSRXYgV\nmRzm7OfIXHhccimnds1Qn1aWv1Rp9V+kFO5ILduQ4Gf58eRUB1fM1iLWyw7GfwFgPc5KapzZtF4e\nXXfYV4t6efAuzgvn0vG+m+9+ebmourH5UGeFRrc3rSLmh9S/nsguzguHVO4AuGK2FjGedl9dKdLr\nEavq8AGgy9pxt3xW1x729Tx8JvF1gt/sKJf/XnsSlnw72tMuzIUtYNMaNbr7ZfKrBXUBTqxPh3i/\nGAiR3EEQzNYi2Jml1OhzahQmn10PAGCs3BrF7eL6bYldfdhXKyLduD+ND6xu1FzMqX1YIc+vVbJo\n2BA//upBXv5OLLKro7aWg7m8vFwotNAz4MAAx9DeHtwbRXUQzACQbsfdsnHBTqZa+MiGObKIiSGC\ntl8HjNHyPeZevXolJiYeP35cper4E+XAWDEi3rUCWJsZAJKptLp9aRWzIqEfG5Cj5c+DOTk5v/32\n286dO5cuXZqYmDh79uzIyEhzHJ7DMeUgZBzHcRw37T4taVCgy97DmYb6aTQadX+Rpqh+UpqxmfOC\nIAiKokwmk0432foE5DLhqTmTXuZuz4gPIDOYMQyDs2O1THt2nl0+suVgJghixIgRMTExu3fvfvvt\nt3/66SdfX9/k5OS+ffuapI6nTLt+KoPBQFGUusvlBjsQxdLGx2U1rly6zaz7S/WT0ozNnBcEQeh0\nukKhgPWYn/X9tfzZkUJyTzSNRoOzY7XMfXZa7srevXv3mDFjwsLC7t+/f+rUqaqqqi1btsyaNctM\nRQADOo72cOddL6wnuxAAuq7sysb7ZfIJ3eG+KSBNy1fMFy9eXLx48eDBgwni7xf06NFjzZo1Fiys\ni4oR8a4X1o0LdiK7EAC6qO2ppUmhAg7deqeFAjaveTBPmTLF8MW2bdu2bdv2dPu+ffsmT55subq6\nqliR3eqL+WRXAUAX1aDSHrhfeXJGCNmFgC6teTDPnz+flDqAQbQn73G1oqZRY0PjJACgjP3pFWEu\nnGBnNtmFgC6teTAPGTKkqqrqxx9/fOedd0gpqIvj0PFgZ9bNonpPgT3ZtQDQ5WxPLVsZLyK7CtDV\ntTD4y97efteuXTk5OZavBiAIEiuyu1YITzMDYGmX86VShWZEgAPZhYCuroXBXwRBhISEREVFxcXF\nPX3y7NChQ5YtrOuK9bLbeO0J2VUA0OX8cKt0Xk9XAtZEB2RreVT2kiVLlixZYuFSgEGsyG7BMUm9\nUgMrfwFgMTk1ipR86X8TfMkuBIDnPMccFxcnEAi4XC6Xy2UwGJ9//rmFy+rKHFiEnyPzBiwBCYAF\n/XirZHKYsyP7uQsMA2AxLV8xL1u27PTp06WlpVFRUZmZmYsXL7ZwWV1cnJfdlfzaWHdXsgsBoEuo\nbtTsT6/4bW442YUAgCDPu2I+f/58RkbGsmXL1q9ff+fOnfv371u4rC4uVmSXkltDdhUAdBU/3ioZ\n5GMPC7sBK9FyMNfW1iIIEh0d/eeff4rF4tzcXMtW1dXFetndLqprVOvILgQA2ydX6376q3RJrAfZ\nhQDwt5a7ssePHz969OidO3euXLmyvLxcIIBpYy1KyKH5OLLuPKnvJ4anmQEwry23SyLcuJFuXLIL\nAeBvLV8xJycnr1u3TigUbt68mcPhbNq0ycJlgXgf/lVYmxkAM2tQab+9+WR5nCfZhQDwPy0HM4qi\n9+7dW7p0aXR0dEhIiJ+fn4XLAv19HC/nQzADYF4/3CqNdOXGiHhkFwLA/7Tclb169epbt27l5eWh\nKLpp06YbN26sXbu2zX2p1eqNGzfKZDKxWDxnzpxWNoI29fdxmH/ofqNax6LB88wAmEW1XP39rSf7\nJweTXQgA/9LyH/19+/YdOHDAw8ODIIizZ8/u37+/Pfu6fv26u7v76tWrS0pKCgsLW9kI2iTk0n0c\nWLeKYW1mAMxl3ZWiwb78KLi7DKxMy1fMKpVKrVYbvlYoFCwWqz37kkgkoaGhCIL4+PhIJBKRSPS8\njWlpaQqFgkaj+fqacp4dHMdRFKXRbGGKAAzD+vvwrxXJXgig9sg7WzopCIJgGPb/7N1nXBTX2gDw\nM9sbsMCy9F4EAUEsIKJi773G3hITY4wavTfFRI1JbjQmMTGmqVeNvcZeETWIvYug9Cptd6m7sP39\nsLm8BpY+uzOzPP9fPuBkdubZOTPz7Jw5xWK+C0KobsJ1C9DaosmQ1Rx4Wnrz7W7kLFAMwzpy6ZAc\nvqWj09XvgGN80+++++6QIUPKyso2bty4b9++d955pyVbVygU9vb2CCGRSCSXy5tYuHfv3sLCQltb\n2++++65t38QoDMNoNBrfImZMpNFogzo5fp+QRfWvY0mFghCi0Wh0Op3oKPBBo9E4HI5eryc6EHy0\ntmj+fSB5SW+vIFd704XUHh28dEgO39Kpra2tt8R4Yl61alVERMS1a9e0Wu327dt79OjRkq3zeDyp\nVOrr6yuVSh0cHJpYWPfGWiKRtOV7NILNZnM4nIoKSxjMks/nh9vTH+ZX5hZLrNkU/uFsSYWCEOLz\n+XW/L6nO1ta2urq6rm6M6lpVNMeeS16WVO0Y62sYs4GEhEKhXC7vmKVDfriXjkDwj/cpxu/4JSUl\nAwcOHDhwYKs27e/vn52d3bNnz5ycnOjo6CYWgpaw4zGDHLi3cquGwjx0AOCnVK5eHZe9dbQfD1pW\nAlIyfl527959/PjxJ0+eVKlULd9WVFRUQUHBxo0bxWKxu7t7amrqli1b6i3EKeyOop+38K9sC3nW\nBIAM9Hq07FzGyE52A3yERMcCgHHGn5gzMzPj4uL27Nnz/vvvjx8/fs6cOeHh4c1ui8lkLl++vO6f\nAQEBAQEBCKHXF4JW6eNpvTouh+goALAcv94rzJDVbBsXQHQgADTK+BMzg8EYNmzY1q1bV61atX37\n9tjY2IiIiMTERDMHB6LcrbPLaoqqW1FvAQBozNWsim8T83dO6ASV2IDMjJ+d+/btGzNmTGhoaFJS\n0pkzZ6RS6fbt22fPnm3m4ACHQYvysLmWSdL2KQBQyMNX1W+dSP1plG+QA4/oWABoivGq7Pj4+CVL\nlgwYMKCuq1ZERMRXX31lxsDA3wZ421zNqpjWRUx0IABQ2P2CqhlHX34xyGuYvx3RsQDQDOOJeceO\nHQ0XTp061cTBACP6+wh/uP1Kq9PTaRjRsQBASUeSSj+8lL1hqPekYGoP1wM6CAp3kO0gghx4HDr2\nuKi6mwuMsw9A6xRVq1bHZd/Nr9o/JTDSDa4gQA3QAoICBvgI4zOh0xQArfCosPrfl7J6/fbYmk1P\nWBgGWRlQCDwxU8BAX9ufbr9aFQNTxgKAEEIlcnVJtVpWo1ZqdTXqv8cZVurLZdU1xdXqDFmNYfaX\ncUH28fO7eNtyCA0WgFaDxEwB/bxs3j6ZWlytchSwzLPHdGnNo8JqWY3GxZrdx9NayIHzBBDspURx\n5qXsr+yKpGJFrUYnFjDtuQw6DbP634C1VhymgIk58JiDfIX/6uMe5MClYdAsA1AS3HApwIpNj/a0\nuZxRPjPM5G2zHxVWf3Et90mRPMJF4MBjnnohXXI6bXKIw6exHjaQnoHZ6fXoQprsx9uvUiU1IzvZ\nzunqGOEi8LBhN0y6FjYaM+jI4FZLDUP9bC+kyUyamPV6tPlWwU+3X33Q2/WPiZ34rL+ngsmrUH5+\nNafP9ic7JwRAAzRgTs9LFKsuZJbK1e9Hu04KFnEY0CYGdAiQmKlhqJ/tuqs5NWod1zQjFml1+pUX\nMu/kV12aG+pr9493cu427G3jAg4+K5166MXOCQF9PG1MEQAAr9Pr0dY7r767mb80ymVxpAuLDikZ\ndCCQmKnBzYbta8e5mlU+IgD/4RH0erTifGZyqeLMrBA7rvFTYlqogzWbPu946onpwSGOMHASMCGF\nWrf4dFqGrPbsrBAYpQt0QPA7lDLGBolOvZCaYssbEvLuFVQdmhLYWFY2GBFgt7qfx4wjKSVyC5kj\nFpCQrEYzZm+SRqe/MBuyMuigIDFTxphA+4tpZUqtHt/Nnnkp2/Wo6NDUIDses9mV50Y4DvW3W3I6\nTY9zFAAghFCpXD1u3/NQR/7uCf/fygGAjobgqmwOB88uhgwGg0aj4btNotDp9HpfpLMzx8ee+1eu\nfHQQbsMKpkkUy85l7J0a4u/Y0jfHG0YE9Pv9wX8fl77bq0Wza1tSoSBj5UJdGIaxWCw6nSz5r6xG\nM+XQsxhv229HBLSho5MlFQ1CiEajkap02glKpwkajabeEoITs1qNZ6UohmF0Oh3fbRKFwWA0/CJj\nAu2PPSsa5odP8yuVVjf3yPN3I117uwtaftAYCP06JmDUnqdDfIVeLRi6wZIKBTVSLhSl1+s1Gk3D\nmwIhajW6iXufhTrxvx7srdG05QhbUtEgkpVO+0HpNEGn09VbQnBi1mq1OG7N8PXw3SZR9Hp9wy8y\nPsj+uxt55QqVFRuHX2qfx+fwmbSlUc6tPWKdHTjzIpw+OJ9+eGpQsytbUqGgRsqFunQ6HRm+jk6v\nf+vPVBs2/bth3jpdG+OxsKLR6/UkKR1cQOm0CrTKphIPG3ZXZ8HJF9L2d2i+mVu5/0nJ1fld2jZp\n1aoYt5htj0+mSMcG2bczErzkVyhPv5Tdy68sr9Xa8RghYt7EYAd3GzbRcYHm/ed6XlZZ7ZlZIQyY\nQg0AaPxFOdNCHQ48LWnnRqpV2vfOpK8f6OnW1rzFYdA+H+i17mpOraZ+JYz5ldVo/n0pK2b7k7v5\nlX28bOZ1c+rtYf1CUhOz7fF7ZzOKq1VEBwiacuqFdO+Tkj2TAgXQ2gsAhBAkZsoZHWifXKLIkNW2\nZyNr43M6i/nTurTrsXtEgJ23LWfrnVft2Uj7PXhVNXDn07IazY2FYTsndJoX4TS6k928CKdfx/g/\nWBzBwFDf7U/iM8uJDRI0JlVSs+J85vbxAVC3AUAdSMwUw2fRJ4WIdjwobPMWrmeVn34p2zTMu/3B\nrB/k9fOdwlLiujXHZZRPOfhiZYzb72P9Gz79i3jM70f4/jDSd9HJtP8+KCIkQtAEhVq34ETq+71c\nentYEx0LACQCiZl63uzmfOiZpErZlnYHVUrt8vOZXw3ywmWiqs4OvOEBtpsS89u/qTa4nFH29qm0\n7eMDpjf56D/M3+7UzOBvE/N/JvrhHtTzr4uZnkL2kkhXogMBgFwgMVNPgIjbzVVw4Flb3jSvjssO\ncxJMDMatJ/SHfdwPPyvNKmtX1XobPC6sfudU+u9j/ft7N995LMiBd3JG8E93Xh18VmqG2EBLHHpW\neiOn8scRvjA3IwD1QGKmpLd7OP96t1DVylHALqaVXUov2zTMB8dI3GzYM8PEGxLycNxms4qrVTOP\nvvx8oOcAH2ELP+Jnz90/OfDTuOyr8L6ZBDLLaj+Jy/5trH9LxpsDoKOBxExJA3yETlasPx614r1p\ncbVq2bmMzSN87Xk495FbFu12Kb0spVSB72Ybo9bqFp5IHd3Jruka7IbCnQVbRvm+fTrd/M/34HUq\nrW7RybRFPZwj3WAWUQCMgMRMVR/1dd9861WNukW9lbQ6/btnMsYE2Q/1t8U9Ense483uTmZ7aN54\no0CrR+sGerbhs8P87d7q7jTn2Esy9PLqsDYk5LPp2IpoeLUMgHGQmKmqj6dNZwfuNzda1PDq67/y\nymrU6wa0JZm1xOKeLjdzK58UyU20/Tq38ip3PSz6bYx/myfoXR7t6mzF+uhSFr6BgRa6kVOx53Hx\nL2P82zayDQAdASRmCvtmmO/uR8XNpsMTKdI/HhfvmtCJwzBVcdtwGO/0dPnP9VwTbd+gSql993T6\nV4O92tPnlYZhP4/2v5JZ/meyBMfYQEuU1WjePZ3+9RBv6LUMQBMgMVOYp5D9775ui0+nVdQ2Opb6\ntazyD85n7p4YaOpb4ZvdnR4XVd8rqDLdLtbEZ3dx4k8OcWjndux5jK2j/f59KSu/QolLYKCFVpzP\njPG0mdAZt04BAFgkSMzU9mY35zAnwbzjqUZbaJ95KVt4Iu2XMX5R7iZvZSNg0d+Lcv3quqneNF/L\nKj/7UvbNUHyalPfxtJkRJn73TLoOZpY2lz2Pi5OK5V8PwWFkGwAsGyRmasMwtHmED5OOjdyTlPva\n81+1SvvZlewPLmTunthpiB/+Db6MWtDNKV1acz0L//5ICrVuxfnMLwd7O/Bx613zUV/3ilrNL3fb\nPoYaaLmXEsXa+NzfxvrjMjEaAJYNz54zarX6xx9/rK6u9vT0nDt3rmGhRCJZsWKFWCxGCC1fvtzV\nFZpi4oxFp+2fHLghIS9m2+P+3kI/e+6rSuWVzPKeblZxc0PN+TKPw6Atj3b9z1/5fb2E+I4a8eW1\n3EARbxJ+46IghFh02i9j/EfuSRrgIwxy4OG4ZVBPrUb31om0ZdEuES4ComMBgALwfGK+ffu2i4vL\nmjVrCgsL8/L+rtIsKSkZOXLkpk2bNm3aBFnZROg07ON+Hg/eiejtaY0QChbzT84I3jvJ5O+VG5oV\nLpYq1GdTpThu835B1aGk0m/wGNy7niAH3vJo18Wn01Ra6D1lQp9cznYUMN+NdCE6EACoAc8n5rS0\ntJCQEISQt7d3Wlqau7s7QqikpKSgoGDLli0hISH9+/c3rCmXy7VaLY1Gw3B9sDJsDd9tEgXDsNZ+\nEbGAtagHwfc+FoP+cazHV9fzhgfYvz63bpsLRaXVrTif+XE/DzcbDk4x/sO7ka4X08u/TSz4uJ9H\nS9ZvQ7mQmRm+zrHnkkvpZdcWhtFppn1xZpFFYzHfyJK+i4FJvxGeiVmhUNjb2yOERCKRXP53Hx4u\nlxsSEhIREbF582Y7O7uwsDCE0OzZs3NycsRi8blz53AMwMAQgwXgcEySikxtQYzdr/eL/0yTvx39\n/92m21wo6y6l2gk4Kwd3ppnsGtg3q3u37xImd/OK8mzRy3iKlotR1tamndbpeVHVvy5mnVrQo5O7\nOa5KSyoaZPrSMTMoncYoFPWHTcQhMcfFxSUlJUVFRfF4PKlU6uvrK5VKHRz+7tMSGRlp+GPAgAGp\nqamGxHzs2DHDQokEz76kbDabw+FUVFTguE2i8Pn8uh83lPNZP7eFf6YM8WRbsxntKZSUUsW319Iv\nzgmVSfGsG6/HBqHP+rvP2HP/6oIwHrOZpzpKl0s9tra21dXVarWpZu2sVGrG7U5aEe3S2VqP75Vu\nlCUVDUJIKBTK5XLTlY6ZQek0jcf7RzMXHCqXBg0atGzZsqioKH9//+zsbIRQTk6Ov7+/4f/u37//\n8ePHCKHc3FxnZ+f27w6QX28P60h3q+8SC9qzEY1Ov/Rsxvu9XP3tuXgF1phZYY6+dtzPrmSbekcd\nh06vX3QyrYsj/52e8GoZgNbB861PVFRUQUHBxo0bxWKxu7t7amrqli1bBg0adPDgwdWrV5eXl/fq\n1QvH3QEyWzvA84/Hxe2Z2WLzzQI6hpmnxRCGoR9H+Z5LlZ1PlZlhdx3Buqu5JXL1ZpjVEYDWw/SE\nDrAAVdmNsYCan+8SC+Izyy4t6MbltrpQHhdWTzyQcnFOiJ/pH5frxGWUv3s67eqCMBcrVmPrWEC5\n1DFdVfbOh0WbbxZcmBPq3PiRxJ0lFQ2Cqmxyw710RKJ/9AWFAUaAqSyJci6r1Wy/1+oK7Sql9q2T\naatj3c2ZlRFCg3yF07qI3zqRqtHBcGBtd+al9KvrefunBJkzKwNgSSAxA1Nh0WlbR/mtu5KVJmlF\nhbZej1aczwgR8+ZFOJkutsZ80s9do0Prr5l2Ng4Ldi2r/P2zmbsmdgoWw5gtALQRJGZgQuHOgiW9\n3GYeeNzy+Y9/uJWfVKLYPNLXpIE1hkWn/XdCwJGk0hMpJmwHbqn+yq4wjM3e28Oi+vkAYGaQmIFp\nrerr6ShgLzuX0ZKVT6ZIf7lXtHdSoDUbzx72reJixdo+LuCD85kPX1UTFQMVXUovm3c8desoP7ON\nzQ6ApYLEDEyLTsP+mNblWbF8TXxO02ueT5V9cCFz94ROvnYED0QQ7WH95WCvWUdf5JTDvJAtsv9p\nyeLT6TvG+w/1h6wMQHtBYgYmJ+Qyj07rfDFN9uGlLHUjo1Jvv1/43tmMXRMCzDBDZUtMC3WY381p\nwv7nhVUqomMhNa1Ov/5a7lfX845MC4r1FhIdDgCWABIzMAdnK9bJGcHPiuVj9iU/LvxHFXF2ee2s\noy9/vlt4amZwjKcNURE29EFvtzFB9uP3P8+vgOdm4yQK9dTDL65llV+YHdLVGWaOAgAfhL3JAx2N\no4B1ckbwj7deTTmU4mPL7eoiQHp9cqni4avq+d2cfh7tR8KZetf092Rg2Ki9zw9MCYSpIeuJyyh/\n/2z6MH+7fZMD2XQYRgQA3EBiBubDoGEreru+1cPpelZFUomcjmGzwh33TOpEYFOvZn0S6+FoxRq9\n9/n3I3xHd7IjOhxSkNVoPo3Ljs8s/3a4z4gAOCYA4Iy8N0RgqQQs+shOdiOpk+QWdnMKsOe+cyrt\nUprs2zHBHXnUDI1Ov+dx8dcJ+YN9hYlvhdtx4QYCAP7gHTMAzevrZZPwZrhKqw/9PvGXu4VylZbo\niAhwPlUWu+Pp3iclf0zs9NMoP8jKAJgIXFoAtIgdl/HbWP+nEvW6y2nfJeZPCBaNCbTv4Spg0S3/\n1+3VzPINCfklctWHfd0nBYtMNzc2AABBYgagVXp5Co+90Tm5VHFgEhJcAAAgAElEQVT4WenycxnF\n1apQR35nMd9TyHYUsEQ8hj2PKeQwbLkMAYt0bdna4Gpm+abE/LwK5bJerjPDxR3hVwgAhIPEDECr\ndXbgrR3guXaAZ0Gl8lFhdaqk9qVEkZBdIVGoZTWa8lpNlVLLomOOApaHDdvXjhss5vVwswoW8yj0\nrHk9q3zjjfz8CuXSXq6zwh1Z0O4aAHMhODEzGHgGQKfTMQzDd5tEsZgvQqPRLOa7oAbl4mnH8LTj\nN1xNrdXJajSvKpV5Fcp0Wc2N3KpvE/M1ejTU325isEN/HyFJMjSdTm848eudvMrP47MzZTUrYtxn\nd3ViM6jxlGxJpxlCCMMwo6VDUVA6TdDp6g+7RPCRotPxrO7DMAz3bRKFRqNZzBcxnMREB4KPFpYL\nnU53YTFdbLjd3f9/YVJx9ekUyarzGVq9/p0ot7kRznxCq7sxDKv3dV6WKtbEZd7Jq1gR47GwhwuX\nSaVSs5hLxqBh6VCaJX0XhHfpNEzwGLG/yCQSCY5bY7PZHA6noqICx20SxWLmFbekQkF4lItej65l\nlW+9W5hUXL082m1ehCNRL25tbW2rq6sNk72X12o2JuQdfFa6oJvze1HOZO5Z3hiLuWQMhEKhXC43\nlI4FgNJpmkgkev2f1Lv8AKA0DEP9fYT9fYR38qvWxefsfFj0nyE+/b0JG4tUr0eHkkrXxef09rT+\na0GYmw2bqEgAAAaQmAEgRqSb1dlZIUeely4+lRbrbfPlYG/z9wxOkyjeP5NaIlf/Nta/rxeJBioH\noCOjRrMOACwShqEpIQ433wqn07A+2x5fTCsz2641Ov1/4tMH7HjU28P6+oIwyMoAkAc8MQNAMFsu\n46dRfudTZcvOZYwIsFs/yIvHNO0v5pRSxXtn0llMxqX5Xf2ETJPuCwDQWvDEDAApDA+w+2thWGGV\nauDOp0+KTNVMRqPTb75VMHJP0phA+4R3o2HKLABICJ6YASALBz5z3+TAnQ+LJuxPfr+Xy5IoF3y7\nOxselGkYdn52SCcRj0EjRV9qAEA98MQMAIlgGJrfzenc7OA/UyRj9j7PKVfislmVVr8xIc/woHxu\ndkgnETwoA0BekJgBIJ1OIt7FOaG9PGwG/PfptvtFuvYNNnAjpyJ2x5OEnIpLc0KX9nKFB2UASA6q\nsgEgIxad9kk/95EBtu+fzTicVLphiHeEi6C1G8kur11/NTcxt+LTWM/pXcTkGAYUANAMeGIGgLzC\nnQVX5neZFCyaeihlwZ+pKaWKFn4wu7z2g/OZ/Xc8dbVm3V7UdUYYZGUAKAOemAEgNQYNW9TDeUqI\nw9Y7r0bteR7hIpgW6jDYT2h01MxqlfZyetnhpNKbuZVvdBEnLISRvACgHkjMAFCALZexOtbj/V6u\nR5JKdzwsWno2I9SR31nMdRKwOAyaWqfPq1CmlCqSihVdnPjjO9v/MsZfyIGrGwBKgksXAMqwYtPn\nd3Oa381JVqO5m1/5QlJTWq0u1qhZdMzPjjvc366Hq8COBwOGAEBtkJgBoB47LmOYv90wf6LjAACY\nAP6Nv9avX19bW1v3T7Va/e23365bt27Xrl247wsAAACwMHgm5qqqqpUrV967d+/1hbdv33ZxcVmz\nZk1hYWFeXh6OuwMAAAAsD56JWSAQbNiwITQ09PWFaWlpvr6+CCFvb++0tDQcdwcAAABYHjzfMWMY\nRqfTabR/JHuFQmFvb48QEolEcvnfQ/MvXry4oKDA3t5+27Zt+AaAYZitrS2O2yQKjUZjsVhER4ED\nSyoUZEHlghCi0WhWVlb69g0rRh6WVDQISofc8C2d11/+GuCQmOPi4pKSkqKioqKiohr+Xx6PJ5VK\nfX19pVKpg4ODYeHKlSuVSiWTyayqqmp/AHVYLBaLxaqursZxm0Thcrk1NTVER4EDJpPJZrMto1CQ\nBZULQsjKyqqmpkaj0RAdCD4sqWgQlA654Vs6Op2Oz+e/vgSHxDxo0KBBgwY19n/9/f2zs7N79uyZ\nk5MTHR1tWOjj42P4QyKRtD+AOnQ6Xa/XW8aprNPpLOOLWFKhIAsqFwOtVmsxX8fCikav10PpkJap\nS8eE3aVSU1MvXrz49ttv//TTTxs3bhSLxe7u7vXWEYlEOO4xISEhLi5u3bp1OG6TQFwul+gQcJCY\nmHjx4sXPP/+c6EBwYxnlghBaunTpokWLgoODiQ4ENxZTNAhKh9yWLVu2YMGCeg2qcIR/Yl6/fr3h\nj4CAgICAAITQ8uXLcd+LUTU1NVKp1Dz7Ai2kUCjwrRcBeCkuLlYq8ZlWEuCupKQESoe0TF06FjWJ\nBZfLNTQ0A+TB4/HwrRcBeHF0dGSzYSRtkhKLxVA6pGXq0sEsptUfAAAAYAEs6okZAAAAoDr62rVr\niY7BiMrKynXr1g0cONAUG1er1Zs3b758+XJ2dnZ4eLhh4fr16yMjIxkMGDy8FT799NNHjx7VNbY3\n6sSJE1lZWenp6SUlJR4eHgiOv7kYvYjOnz9fVxCvg0IxhadPn/7444/x8fEJCQleXl5CobDZj+ze\nvVsgENjZ2bVk+1Bq7UTaRGPhT8wKhZGJ5euNEmp0JFHQrKqqqpqamvT0dLVa3dg6CoVi3Lhxw4cP\nf30hHH8SgkLBXVFR0R9//PHhhx9++eWXb7/99vfff1+vI++TJ0+OHj3ahi3X3dag1EgC90RD6l9V\nUqn0119/RQix2ezly5dfuXIlMzOTyWSWlJR88MEHFy5ccHZ27tGjx4EDB8LCwhwdHeut/OjRIzab\nXVtbu3DhQpFItHr16o8++ojP56elpYWEhKD/jRLav3//DRs2fPbZZwR/W6q5fft2ZGRkUVHR06dP\nu3Xrtnv37traWhqNJpPJli5dmpCQYDj+nTt3rtdNAo6/OZ06der1y8Sw8Ouvv4aLwtSuXLkyYcIE\nKysrhJCTk1N0dPSdO3fCwsK2bt2KEPL19S0oKHj16lVwcPCRI0cwDBMIBEuXLkUI/fnnnyqVSqPR\nrFq1SqfTbd68WaVS2dvbL1mypO62tmzZMgSXEk5ImGhI/cQsk8kmTpz4ySef6HS60tJShBCbzV6w\nYIGnp2dycnKzKwuFwmXLlkVGRt67d6+srIzL5RpGV6k3SqjRkURBsxITE6Oionr06HHz5k3DEgcH\nhzfffLNz585xcXHof8e/4Qfh+BMOLgozKC4udnV1rfunq6trUVHRn3/+OWTIkNWrV9fU1PTp0yc6\nOvrBgwd9+/b99NNPBQLB/fv3EUKenp6ffPJJcHDwlStXzp49269fv88//9zV1TUhIQH987KCUsMF\nCRMN6YrwyZMnCCFDW3GhUHjp0qWff/45Ly/PsMQwZBiXy9XpdHUf0Wq1Rlf29/dHCHXv3v3hw4c3\nb97s3bu3YX3DKKEIIalUWm8gNNBC1dXVSUlJ+/btu3jx4p07dwxFYCgdHx+foqIi9L/j3xAcf1N7\n/SKqYygjA7gozEAkEhlu3AYlJSX29vb5+fmG62L+/PkcDgchVFhYaBjvISAgoLCw0PAHQigwMLC4\nuLiwsPDGjRtbtmwpLCwUCATon5cVlFqbkTzRkC4x7969u6ysrKCggM/nnzx5MjY2dvHixUKh0HAI\nXv+5QafTq6ur9Xr9y5cvEUINV2YymQghKysrrVabmJgYGRlp+KBhlFCEUE5OTmPJAzTt7t2748aN\n+/DDD9esWRMaGmr4XZmamooQSklJcXFxQf87/g3B8Te11y+iepeJAVwUZtCvX79jx44Z3j5KJJK/\n/vorMjLS0dExIyMDIbRr167KykqEkKOjY3p6OkIoLS3N0dHR8AdC6MWLF66uri4uLt26dXvvvfci\nIiKcnZ3RPy8rKLU2I3miIV2rbB6P9/vvvz9+/HjGjBkuLi4nT568f/++UCgsKSnh8XhMJtPT0zMz\nM9PR0dHf33/fvn137twRCoWBgYFOTk5GV0YIVVZWVlRU9O/f37ALFxeXK1euJCQkiMXifv36GRZe\nvXq1b9++0JSxhfbu3Ttq1CjDnFF6vf7hw4cMBiMnJ+fGjRulpaUzZszIzc01HP+MjAwmk6lSqdhs\ntqExMBx/U3v9Iqp3mchkMkNBwEVhakKh0Nraetu2bX/99dfdu3cXLlzo4uLi5eW1f//+q1evWltb\nd+/e/ciRIyNHjjx//nxiYqJOp5swYUJmZmZhYWF8fLxMJps+fbqvr++hQ4du3Lghl8tjY2MN7z4N\ntzUEpdYOJE80HWKAkePHj4vF4piYGKIDsWS7d+/u3bu3n58f0YGAFoGLAgB84XhNka4qG3fx8fGG\nWSmJDgQAsoCLAgB84XtNdYgnZgAAAIAqLP+JGQAAAKAQSMwAAAAAiUBiBgAAAEgEEjMAlFFbW4th\nmJOTk6Ojo4uLy4IFC6qqqnDZ8ty5cydOnIjLpgAA7QSNvwCgjNraWi6Xa7hmFQrFypUri4uLjx07\n1s7NyuXygICAgoICPGJEGo2moqLCMBghAKAN4IkZAEri8XjfffddQkJCfn6+TqdbsmSJi4tL586d\n33//fZ1Ot2DBgn379iGENBqNh4dHSUlJ3Qf1ev2aNWt8fX39/PzWrVun1+uXLFkilUrnzZtXt47R\nj2/atMnb27tTp05r1qzR6/UNd3rjxo0pU6aEhYX9/vvvZj8eAFgQPQCAIgzzBr6+pF+/fnFxcU+f\nPh0yZIhSqVQqlX5+fikpKRcvXhw9erRerz9//vy4ceNe/8iZM2ciIyOrq6urq6t79Ohx/vz5qqoq\nT0/P19dp+PG4uLhu3bpJJJKKiophw4bt2bOn4U4TEhKsra3T09NNfRwAsGwwbBsA1IZhWGho6J49\ney5fvnz37t2ioqLa2toBAwYsWLCgvLx8z549c+fOfX39a9euzZkzxzCq/syZM69du9ZwrKKGH792\n7VpZWdnUqVMRQgUFBffu3Zs5c2a9nSKEoqOjfX19zfK9AbBYUJUNAFUplcrk5OSAgICbN2/Gxsam\npKSMHDmya9euCCEGgzFq1Kh9+/YlJiYOHz789U/p9XoMwwx/Yxj2+qxTdRp+nMfjLVq0KC4uLi4u\n7tmzZ5s2bWq4U4QQzHEEQPtBYgaAkpRK5apVq2JiYtzc3OLi4kaPHr1y5UpHR8eUlBS1Wo0QmjZt\n2ocffjh+/HgWi/X6B/v167d3796amhqFQrF3797Y2Fij26/38YEDB+7fv7+yslKlUg0ZMuTkyZNG\ndwoAaD9IzABQjJubm6urq4+PT1VV1a5duxBC06dPf/ToUURExIoVK959913DlHExMTF0On3OnDn1\nPj5q1KjY2NiwsLCwsLBhw4aNGDHC6F7qfbxnz55z5szp0aOHn59fRETExIkTje4UANB+0F0KAMv0\n8OHDhQsXPnz4kJCPAwDaDJ6YAbBAhw4dmjx58pYtWwj5OACgPeCJGQAAACAReGIGAAAASAQSMwAA\nAEAikJgBAAAAEoHEDAAAAJAIJGYAAACARCAxAwAAACQCiRkAAAAgEUjMAAAAAIlAYgYAAABIBBIz\nAAAAQCIMogP4B7lcTnQIiMlkarVanU5HdCCtRqPR9Ho9FcdYpdPpCCGjEwOTHIZhGIZR9Gyh0+kU\nnauRTqdT8WxBCLFYLJVKRXQUbUHdY85gMHQ6Hckv0noTmZMrMdfU1BAdAmKz2TU1NVS8YXE4HJVK\nRfLzzyjDSUmG0m8tOp3OZDJra2uJDqTVmEwmn8+n4jFHCFE68qqqKopepBQ95tbW1hqNRqlUEh1I\nU+olZqjKBgAAAEgEEjMAAABAIpCYAQAAABKBxAwAAACQCCRmAAAAgEQgMQMAAAAkQq7uUgC0WWZZ\n7ZGk0qRihUShlsjVbjbsQBE33FkwJtCey4QfoAAAyoDEDCjvalbFNzfyUkoUowLtR3ayE/GY9jxG\nXoUyuUSx90nxp1eyZ4Y5vtndydmKRXSkAADQPEjMgMJkCvVn8TlXMspXx3pM6Cx6/cm4q7NgTKA9\nQu5JxYrf7hf22f5k7QDPGV3EGEZgvAAA0Dyo4gNU9biwus/2Jzo9SnwrfEaYuLH66hBH3paRvvsn\nB265VfDG4ZRSOfXGdAMAdCiQmAElJeRUTD6Y8kmsx8+j/ey4zVf89HSzurYgzMWaNfyPZ1ll1BtB\nEwDQcUBiBtRzLlU291jqDyN9p3cRt/xTXCbtu+G+M8MdR+5JelJE/HQpAABgFCRmQDF386veO5Ox\na2LAiAC7Nnx8WS/X1bEeEw8kP3xVjXtsAADQfpCYAZXkVSjnHn/59RCvPp42bd7I9C7ir4d4Tz+S\nkial5Gw5AADLhmerbLVa/eOPP1ZXV3t6es6dO/f1/7V+/fpVq1ZxOJwm1gGgadUq7cwjL2aGiSeH\nOLRzU5OCRa8qlZMOJJ+bHeJqzcYlPAAAwAWeT8y3b992cXFZs2ZNYWFhXl6eYWFVVdXKlSvv3bvX\nxDoAtMTKC5k+dtwP+7rjsrWlvVxHB9rPOvqyVkO9yXEBABYMzyfmtLS0kJAQhJC3t3daWpq7uztC\nSCAQbNiw4bPPPmtinczMTKVSyWQyRSIRjvG0DYZhdDpdr9cTHUir0Wg0BoNBxTnYaTSaXq9nMJo6\nG8+8kN7Mrbz5djcWE7eT9quhvlMPPF9xPvP38YFt2wKNRjMcdrxCMhs6nY5hGBUjR/871YmOoo3o\ndDqNRr13iNQ95oZbOpmDb3jTxjNWhUJhb2+PEBKJRHL5361eDQel7kQ0us6mTZsKCgrs7e23bduG\nYzxtQ6PReDweFRMzhmEIISpGbjg9mExmYysUVtYuP5e+e1qYu4Mtvrs+MLt7zx8SDyaXvRnp0YaP\nG445m029ynAMwzAMs7KyIjqQtqBukkAICQQCokNoC+oecxqNRqfTyXyR1tbW78CJ54Hm8XhSqdTX\n11cqlTo4GH8LaHSdn3/+2fCHRCLBMZ62EQqFcrlcrabeMBQcDkelUlHxiZnP5yOE6n6o1aPXo3lH\nUsYF2fcUM8rKynDf+29jfCcdSPG3poU58Vv7WTqdzmQyG15X5MdkMvl8fnl5OdGBtAWfz2/sbCE5\nkUhUUVFB0YuUosfc2tpaqVQqlUqiA2mK4R5YB88aFX9//+zsbIRQTk6Ov79/m9cB4HVHnpdmymo/\ni23LE21LdHUWfNLPfdHJ1Bo19W6XAADLg2dijoqKKigo2Lhxo1gsdnd3T01N3bJlS9Pr4Lh3YJGq\nVdr1V3O/HOxt0hmi5kU4+dhy113NMd0uAACghTBSvZKEquz2sMiq7M+v5qZKFXsntbFxVstJFOo+\n2578NNpvoI+w5Z+CqmxCULdaVSQSyWQyil6kFD3mlKjKrtfwmXqNA0HHkSGr3fmwaP1ALzPsS8Rj\nbhjqvfxcRnmtxgy7AwCAxkBiBuS1Oi5rYXdnb1uOeXY3JtC+l7v12nio0AYAEAkSMyCpm7mVT4rk\ny3q5mHOnXw72Op9WdjO30pw7BQCA10FiBiS1ISFvebQbn0U3505FPOaa/h4rzmcotSRqewEA6FAg\nMQMyupJZnimrnRXeilkd8fJGqNjVmr35Zr75dw0AAAgSMyAhvR7953ruv/q4cRgEnJ8YhjYO9fn1\nbmE6zD0FACACJGZAOmdTZZVK7bTQ9k4h1Wa+dpw3uzt9dDmbqAAAAB0ZJGZALno92nQj74Pebkw6\nkSfn8mi3dFnNuVQZgTEAADomSMyAXK5klpfXaid0tic2DC6Ttm6A5ydx2TBOJwDAzCAxA3LZcrtg\nSZQLsY/LBmMC7X1sOVtuFxAdCACgYyH+9gdAnXv5VS8lihldCGiMbdSXg7x+uVtYUEnqwfwAABYG\nEjMgkR9vv3qru4tJ56tolUAH3pRQhy+u5RIdCACgAyHLHRCAlxJFYm7FvAhHogP5h3/3cY/LKH/w\nqoroQAAAHQUkZkAWv98rmt5FbMtlEB3IP9hxGcujXT+NyyHTNGwAAEsGiRmQQlmN5liy5M3uzkQH\nYsTC7k4ShfrkCynRgQAAOgRIzIAUdtzL7+tl4ylkEx2IESw67bP+np9fzVHBANoAANODxAyIp9Hp\nf7+T/1Z3J6IDadSoTnbOVqwdD4qIDgQAYPkgMQPinXxeYs2m9/awITqQpnw+0PP7m/llNRqiAwEA\nWDhIzIB4P9/OW9LbE8OIjqNJ3VysenvY/HALxhsBAJgWuVrAstnEv2Kk0WhMJpNGo95PFgaDgWGY\nTkexISSfFla/LJVP7+pC05H9YXT9UL8+v95fHO3pbvP3iUqj0eh0OhnO29YynC1UjBwhRNFjbsBi\nsfQUbOJP3WNuuKUTHUVTNJr6tz5yJWatVkt0CEiv1+t0OjJE0loMBkOr1VIuMe+4XzArwoVNx2rV\nZD/mXjasaV3En8dl/Dquk2GJXq/HMIyKZwuGYYgcV1wbUPQKNdBqtVRMzNQ95uS/pTc8H8iVmBv+\ncDA/vV6v1WrJEElrMRgMjUZDrcQsV2mPJpVcW9RDr9dT4piv7O0W+dujRwUVoY58hBCdTqfRaJSI\nvB4Mw6hyzBuibuQIISr+ekZUPuZUvKVTr8IWWJLDSaXhToIgsYDoQFrKnsd4u4czDNIJADAdSMyA\nSHsel8zpSq4xOJu1ONIlqVh+Pauc6EAAAJYJEjMgzP2CqqJq1fAAW6IDaR0ek7Yyxu2L63kUfFEI\nAKAASMyAMLsfl8wIc2SRYOrl1poZJq5SamCQTgCAKVDvnggsQ6VSc/qFdFY4WaZebhUmnfZJrOdX\n13PVWuq14gEAkBwkZkCMP5Ol3VwEHjaU7BmJEBoVYCfiM3c9hEE6AQA4g8QMiLHvScmMMEo+Lhtg\nGPo01uObG3lVSvL2jwQAUBEkZkCAlFJFVlntyE72RAfSLr3crcOdBFtuQtcpAACeIDEDAux9XDIp\nxIFNJ/fo2C2wdqDXT7fySuRqogMBAFgOSMzA3FRa3bHk0uldHIgOBAedxfwxQQ6bbuQTHQgAwHJA\nYgbmdj61zNWabRjS0gKsHuB9JKk0XVpDdCAAAAsBiRmY2/6nJW+EWsLjsoGbDWd+N6cvr+cRHQgA\nwEJAYgZmVVStupVXOaGziOhA8LQ0yuVmXuW9giqiAwEAWAJIzMCsDj8rHeQjtOORenrU1rLhMFZE\nu34alwODdAIA2g8SMzCrQ0ml07pQuPtyY+ZHOJbVqE+/hEE6AQDtBYkZmM+DV1Uyhaa/tw3RgeCP\nSaet7u+5Lj5HpYWnZgBAu0BiBuZz6JlkSqgDk4KzVrTE6E52zlasHQ9gkE4AQLtY5i0SkJBSq/8z\nWTLVgtpjN7R2gOf3N/NlChhvBADQdpCYgZlcTJN5CNmdHXhEB2JC3V2tYr2F3yQWEB0IAIDCGDhu\nS61W//jjj9XV1Z6ennPnzjW6UCKRrFixQiwWI4SWL1/u6uqKYwCAzA4nlVr247LB2gGeMdsezw4X\nB1n0TxAAgOng+cR8+/ZtFxeXNWvWFBYW5uXlGV1YUlIycuTITZs2bdq0CbJyxyFVaK5nVYwPsqju\ny0a5WLHe7O60Oi6b6EAAAFSF5xNzWlpaSEgIQsjb2zstLc3d3b3hQhqNVlBQsGXLlpCQkP79+xs+\nKJfLtVotjUbDMFLMaoBhGEkiaRXsf4gOxIjjyZK+XjZiAauJdcgZedOMHvPl0e5Rvz26klkxyFdI\nVGDNMsRMxWOOKHuF1qFi8NQ95mS+MTYGz8SsUCjs7e0RQiKRSC6XG10oFotDQkIiIiI2b95sZ2cX\nFhaGEJo9e3ZOTo5YLD537hyO8bSZtbU10SG0EZ9P0gGoj79IXhXrazgTGsPlcs0WD74aHvYvRwSt\njU8f382bRe4m6E2XCJlxOByiQ2gjOzs7okNoI+oecyaTKRAIiI6iUQqFot4SPBMzj8eTSqW+vr5S\nqdTBwcHowsjISMPyAQMGpKamGhLzsWPHDAslEgmO8bSNUCiUy+VqNfUa1nI4HJVKpdPpiA6kvlRJ\nTWpJdbQTo7HyNSS2uh9zFEKn05lMZm1tbb3lI7y4v7Kx/1xIejfShZDAmsVkMvl8fnl5OdGBtAWf\nz6fi2YIQEolEMpmMhBdps6h7zK2trZVKpVKpJDqQpvB4/2iSgufPeX9//+zsbIRQTk6Ov7+/0YX7\n9+9//PgxQig3N9fZ2RnHvQPSOpxUOjbIjsMg9bMjvjAMfTnI+7vEgqJqFdGxAAAoxvi9sqSkpA3b\nioqKKigo2Lhxo1gsdnd3T01N3bJlS72FgwYNOnjw4OrVq8vLy3v16tW+4AEF6PT6o88lU0IscBjO\npnVx4o/vbL8uPofoQAAAFIPpjY277+Hh0a1bt7lz5w4fPpzFaqrBDr6gKrs9yFmVnZBTsexsxv13\nIppoe2F5VdkGMoW617Ynuyd0inK3MnNgzYKqbEJAVbb5UaIqWyT6R48V40/MmZmZixYtOnz4cEBA\nwPLlyw2VzwC0weFnpZNDHCjVIhI3djzmx33dV13MVGupdyMGABDFeGJmMBjDhg3bunXrqlWrtm/f\nHhsbGxERkZiYaObgANXVanTnUssmBVt+9+XGzAoXW7HoP98tJDoQAABlGE/M+/btGzNmTGhoaFJS\n0pkzZ6RS6fbt22fPnm3m4ADVnX0p87fn+tlTtR9U+9Ew7NvhPj/cKsgpJ3VNGgCAPIx3l4qPj1+y\nZMmAAQMYjL9XiIiI+Oqrr8wYGLAEh5NKJ4d03MdlgyAH3uxwx39dzDw0NYjoWAAAFFC/8de0adOM\nrnfw4EEzRAONv9qDbI2/SuTqbj8/fLKkmx23me7yltr4q45CrYvZ9vjTWI/xncnyMwUafxECGn+Z\nHxUbf9W/Yy5cuNCMwQBLdjxZ0t9H2GxW7gh4TNoPI30X/pnax8tGxGMSHQ4AgNTq3zQHDRqEEKqq\nqoqPj6+pqSEiJGAhjiSVLot2IzoKsujjaTPU3/bjy9m/j/UnOhYAAKkZf5qZM2dOcXFx165d65Y0\nVsUNgFEvJYrsMuVgEs/iYH5fDPLqs+3J2ZeykZ2oOloyAGPg/sYAACAASURBVMAMjCfm58+fp6Sk\n0GgdaAxFgK/DSZJxQfYdahjOZlmzGV8P8V51MauXu5UdVGgDABph/L4ZHh6ekwNDCYI20un1x55L\npoY6EB0I6QwPsIv1tllxIZPoQAAA5FX/iXnSpEkIofLycj8/v169ejk5ORmWHz161NyhAcpKyK6g\nYaiHK+nGoSSDrwZ7xe54eiSpdHII/HABABhRPzEvW7bM8MfatWvNHQuwFEeeS6aFdtBhOJtlzWb8\nMsZ/1tEXvdyt3WzYRIcDACCd+ok5JiYGIbR48eKff/65buGcOXMMywFolkKtO/tSFj+/C9GBkFek\nm9W0UIclZ9KPvdGZToPfLwCAf6ifmAMDAxFCubm58fHxhiUajUYohLa1oKXOvpQGiXnethyiAyG1\n1bGeI/549m1i/r/6uBMdCwCAXOon5hs3bqAGT8yQmEHLHUqSTIW3p81h0bHt4wMG73wW5W7d18uG\n6HAAACRSPzEbBgbbsWPHlStX6gYaZDAYhkZhADStoFJ5N79y+zgYQ6N5XkLOhqHe755Ov7YgzJ4H\n46MBAP5m/HYwf/58pVLp4+Nj+CeNRoPEDFriSFLpYF9bIQfSTItM6Cy6kVPx1snUw1OD4GUzAMDA\n+A1Uo9GcOnXKzKEAC3A4SfL5QC+io6CSr4f4jN6b9MX13DX9PYmOBQBACsYHGPHz8ysrKzNzKIDq\n7hdUlddqYr3hjWkrsOjYf8cHHHxaejJFSnQsAABSMP7EXFBQ4OLi0qtXLzu7vwf1Nc8AI3XTPxMI\nwzA6nV5vNkxKoNPpDAaDwBnljjyXTu3iyGG1erBJGo2m1+vJUPqtRaPRaDRaOyP3tGP8d2LgrCMp\ngY6CYDEfr9iaRqfTMQyj4jFHCFE3coQQnU6n4mjH1D3mhls6mYNveNM2HuvixYsXL15s+njqo9Pp\n5t9pPRiG0Wg0MkTSWobzDyNoXI9aje7489Lz88LbcOgwDDMEb4rATMqQmNsfeayv/WcDvKcdfH71\nzW6OAhYusTXNEDMVjzlCiKJXqAFFf/dT95iT/5be8Hwwnph79+598eLFa9euabXa2NjYESNGmD42\nhBAiw1zWXC5XrVar1WqiA2k1DMNUKhVRT8wnU6QeQrafkNmGQjT8mCVD6bcWnU5nMtvylRuaHSZ6\nUVI1df/TkzOCzTD5h06nwyty82MwGBSN3MrKisCLtD2oe8zZbLZaraZW8Mav/3Xr1n322WcuLi4e\nHh6ff/75unXrzBwWoJz9T4rfgFkr2mf9QC87LmPxqTQdBZ+oAAB4MZ6Y9+zZc/Xq1aVLl7733nvx\n8fH79+83c1iAWgoqlbfzqyYGQ2JuFzoN+31sQHa58uPL2UTHAgAgTKM1ZnWvKqnYTgGY2cFnpcP8\n7Wy55G1eQRVWbPqRaZ2vZZV/m5hPdCwAAGIYv5POmDFj4MCBs2fPxjBsz549U6dONXNYgEL0enTw\naenGYT5EB2Ih7HmMg1ODRv6RJOIx53R1JDocAIC5GU/M69ati4yMvHbtGkLoww8/HDVqlFmDApRy\nM69SrdP387ImOhDL4SXkHJraeeLBZDYdm9ZFTHQ4AACzMl5NbWjAFhYWFhYWVlFRcejQIfNGBahk\n/5OSqaEiGky/jKsQR97BKYGfxeccT5YQHQsAwKyMPzGPHz+ex+O5u/89IR2NRps2bZoZowKUUanU\nnE2VXV8QRnQgFqirs2Df5MDph1/QMGxckD3R4QAAzMR4YmaxWMeOHTNzKICKjiRJerhaeQrZRAdi\nmXq4Wu2bHDjjyAulRjcVeqMB0DEYT8z+/v7nzp0bOHBg3WgpZB7PDBBoz+PiD2LciY7CkvV0szo0\nNeiNIy9UWt2scGgLZlpKrf7Rq+qUUnlyqaJWo2fRMCYdC3Hkd3cRBIi48L4GmEej6XbChAmGuZkN\n8vOh8wao78GrqhK5eqifkOhALFyEi+DotKApB1PKazXvRbkSHY5lup1XdTip5NQLmT2XESzmBYn5\nfCZNo9MrtfoLabIvruXQMGxWuHhehJOTWcZMBR2Z8cR869YtqVTK55tpPH1AUXsel0wLFbPo0NPd\n5EId+WdmhUw+mCxRaNb294QnNxzdy69afy03q6x2aqjD2VnBnUQ846sVVG2/X9Tz10eTgx0+7e8B\nk44D0zF+bgUEBJB5yG9ABlVK7ckUafz8LkQH0lH42nHOzgqZcihFIld/P8IHfg+1n0Sh/teFzMS8\nqqVRLgu7O7PpTf3e6eFq1cPVqrBKtTY+p/fvj78c7A0t8oCJGE/MMpnMzc2tV69eden5xIkTZowK\nUMCx55KuzgJvWw7RgXQgzlas0zODZx99Oe3Qi50TAmzgoa0dzqfKVpzPHBFgd3dReMuPpLMV67ex\n/lcyy1ddyLySUfbtcF9Wk+kcgDbAjE5AduPGjXpLYmJizBCNREJ8l02hUCiXy6k4uxSHwzHnxDX9\ntj9Z0dttLB4PDYaXJnK5vP2bMjPD7FK1tbXm3KlKq3/vTHpKqWLf5EB3mza2h2cymXw+v7y8HN/Y\nzIPP57fnbFFrdauv5Jx5If1+hO8QP9u2baSsRrPgz1SlVrdrQicHfkvnIBeJRDKZjIqzS7XzmDer\nuFqVXa7MLqtVaXV2XKYdjxHqyBewcKi4tba2ViqVJJ9d6vUWXaixJ2bzpGFAXbfyKmU1mhEBbbyp\ngfZg0bFfx/h/9Vfe0N3Pdk/o1MPNiuiIqESmUC84kabW6q4vDBPxWppQG7LlMg5PC/okLnvo7mfH\np3f2EkLVUVtkl9cefy79M0WSJavxsuV6CtksOlZWo5HWaDJlNT1crQb52s4IE3e0cfg71rcFeNnx\noGhOV0cmvOYkCIahT/q5+9lxph1+8fUQr8kh0MW5RTJktW8cTolyt9o0DIcqaAYN2zDE25HPGr8/\n+eSMYI+21l50TEXVqq//yjuZIh3mb/tprEest029ZhNSheZaVvmpF9LvbubPCndc3NPZscO0h4fE\nDFqtqFp1Kb3sy0FeRAfS0U0NdfC25cw9/vKlpObjfu7Qy7ZpKaWKSQeS3+zutCzaDcfNrujtqtXr\nx+17fnJGcJvfLHQoOr1+y+1XP9wqGBdkf3tReGPp1p7HmBgsmhgseilR/HjrVe9tTz6N9Zgd7tgR\nTnN44gGt9sej4mH+dh3n1yuZ9XSzujQnND6zfOaRl5VKDdHhkNfDV9Xj9j3/oLcbvlnZYFWM25QQ\nh0kHkmUK6rVNMTOJQj310IsTKZKzs0K+G+7bkttIJxFv62i/A5MDf79fOOFAcl4Fqd8W4wISM2gd\ntVb3x+OSBd2ciA4E/M3Nhn12VoiATR+2OylNWkN0OGR0v6Bq6qGU9YO85pvsvP2wr3uUu/W8P1NV\nWuo17DKbB6+q+u946ilkX5jTJcjBeH/xxvRws4qfH9bVWTB419PE3EoTRUgS9LVr1+K1LbVavXnz\n5suXL2dnZ4eHhxtdaHSdOgqFAq9g2ozD4ajVaio2m2QwGFqt1mgzexydSJE+L5F/0s8Dx22yWCyE\nEBVbwtNoNDqdrtEQ/KjKpGOjOtkr1Nr3z2b423P97bnNfoROp7NYLDO3J8cLi8Vq+dnytEg+9XDK\nf4Z4m/pN/EBf4ZEkyd38quEBdo2tw+PxampqTH2RmkKrjrlRCTkVM4++XNvfY0VvNwatLfXRDBrW\nz9vG05b79qk0AYve1UXQkk+x2WytVqvVatuwR7Ph8f7xMwXPJ+bbt2+7uLisWbOmsLAwLy/P6EKj\n6wAK+eXuq0XdnYmOAtSHYWhpL9ffx/ovO5exISFPR8FbvymklCqmHEpe099zUrCo+bXbh0Wn7Rwf\ncCev6td7habeF+VcTCubeyx1y0jf9s8vPrqT3YnpwVvuvPryWi4usZEQnok5LS3N19cXIeTt7Z2W\nlmZ0odF1AFXczK0srlZPMP09DrRNfx/hpbldzqfKZh55WVHb0V8551YoJx9MWdnbbUZYe5NBC9nx\nmLsmdvomIf9+QZV59kgJcRnl755J/+94/ybqElolxJF3ekbwyRfS1XHZFvkTFM9W2QqFwt7eHiEk\nEonquqLXW2h0ndmzZ+fn54tEokOHDuEYT9tgGGZtbU10FG1k6uHNt5/KfK+Pt7MY5ypBDMMQQhwO\nVXuCkmpUeXt7dGeZ41tHnw7bk3x8bvcQp0Z7OWMYZrgYqajZs6W0WjXt8NNFvTz/PbSTeUIyiLG3\n/34sWnQ69eHyvnbG+knb2lK193/brtC7ueXvnE4/MDNiWCCeP4/s7dGN9+wG/3ZnzV+FP40PaaKp\nNoZhTCZTIGhRvTchamrqNw3BMzHzeDypVOrr6yuVSh0cHIwuNLrON998o9Fo6HQ6GcYhsra2VigU\nhL81bAM2m61SqUz3+ipdWnM1TbJ5mDfuxcTlcpGxs5P8aDQak8kk4aBCP43w/uVOQcyWxO9H+o3v\nbKSGg8lkcrncykpKNqLhcrlNny1ylXbMnme9PayWRTqa/64yPsDq8gurmXvv7ZvcuV7CsLW1raio\noOI75maPuVEZstrRu59+OcgryomF/30DoRPTO4/e82zZ8UfrBno3tppAIFCpVCqVCt+940in09V7\nx4xnYvb398/Ozu7Zs2dOTk50dLTRhUwms+E6jo5/zzJLhiE59Xq9TqcjeUsBo3T/Y6Ltb72dP62L\n2JqF4X5wDPcpKh5zhBBpz5a3ujuFiHkLT6Tez6/4rL9nveY2NBpNr9eTM/JmNR25Rqefe/SFizXr\n68FeRH3BDUO8B+18uu1eQcP+Cya9SE2nDWdLea1myoGkRT2cpoSITFQQthza4WlBo/Yk2bDp7/cy\nPiMqFW/peL5jjoqKKigo2Lhxo1gsdnd3T01N3bJlS72F9f6J496BSZXK1UefSxb1gF5SVBLtYR03\nr8vd/OrJB1OkCupVArXNvy5mVqq0v47xp7ep6S8ueEza1tF+X13PyyyjZLv39tPp9YtPpfdwtWos\nX+LFxYp19I3Ov90r3PukxKQ7Mifjk1gQhQxPzDCJhVHrrua8qlT9NtbfFBuHSSxMSqXVf3Qp60pm\n+c4JAV2d/37TZqmTWGy+mb//aen52aH2POKHNdyQkHc9q+L0zOC6nwgdZxKLjQl559Nk52aFcpnm\nGC3jaZF8woHkbWP9+/sI6/0vKk5iAQOMgObJFOrdj4qXR5v2ly8wERYd+3a4z8oYt0kHUg4+KyU6\nHBM6niz59V7hwalBZMjKCKEV0a5Kre6nO6+IDsTcLmeU7XhYvGtCoHmyMkKoixP/p1G+i06lvSgl\nfjCM9oPEDJr32/3Cfl42ga0cqQeQysww8eFpgV9dz/3wUpbaEkenupNftepC1u6JgT6kmSOcSaf9\nNMrvh1sFHWpEtqJq1Xtn0n8a5espNOvI4cP87ZZHu00/8kJC/YFRITGDZlTUanY8KF7RG/8RhoGZ\ndXOxipvXJalYPvFASqmcvI1U2yCrrHbOsRffDPOOJNkkmEEOvHd6uqw4n9FBhnzR6fXvnckYHyQa\n7EtAr7B3ejr39xbOP55K9Z+ekJhBM7Y/KIp0swp1JFFXXdBmYj7z+PTOgQ682G2PHuRXEB0OPmQK\n9RuHU97q7jLBWMcwwr3fy7WsRvvHI8tpmtSEX+8WFler1g70IiqA/wzx0un1q6/kEBUALiAxg6aU\n1Wh+vVu4KgYely0Hi07bONT73/08h267dziJ8q+cVVr9nOMvI92sV/QmaRsIFh37foTPl9dzC6ss\nqpaioaRixbeJBb+N9We3e67rNmPRaTsndLqQKqN0I21IzKApP94u6OtlE+5M3kFzQNvM7up0Zn73\nz6/mfhqXrdFRtZZVr0fvnUnnMOibhjU6vgQZ9HC1mhgs+vhyNtGBmJBKq1tyJm1ljFtrp43CnQOf\nuXtipzVXch68ourAqJCYQaMKKpW7HhZ/jOtEUoA8ojyFcfNC7xVUTz2UQtGJhL+8nptSqtgx3p9J\nJ/ut7ON+7nfzK8+lUPgxrmnf3yzgMekkGeog3FmwfpDngj/TKNp9n+xnMyDQxoT8icEiXzuytHEF\nuHMSsE7NDHa1Zg3Z/SyZav1MdjwoOpxUun9yoDWbFJ2jmmbNZnw+0Gvpn0m1Gmq3SzLqWbH8t3uF\nP470pTUxaLV5Te8iHuBj89bJVC0FK4QgMQPjXkoUp19K4e2yxWPRsR9H+r3d02XM3uenXkiJDqel\nzryUbkjIOzg1yM3GrH1y2mNisMjTlrv5Zj7RgeBMrdW9dyZ9VYy7XwsmAjen/wzxqVRq11yi3jSG\nkJiBcavjct7s7uQoYBEdCDCHhd2cdk/s9O+LWV9cyyX/E8aN7LL3z2b+d3xAZ6JfZ7bW1omhv9x5\nZWHjdP58t5DLpL/VnRSV2K9j07H/jg/Yeb/g7Avix5RsFUjMwIhTL6QZspplveBxuQPp7WF9aW7o\n1azy6UdelJN4LuenRfIpe598P8InxtOG6FhaLVAsWNjd+ZPLWUQHgpusstofbhV8N9yHwJHJm+Bu\nw945JXTxyRdZlPoxBIkZ1CdXaT+Ny/5ikJfZhtMDJOFuwz47K0TEYw7e+ex5CRlfOadKaqYeSvlq\nmP+YQKrOJP1BjHtyieJCmozoQHCg16OVFzIXRDgR3hK7CUMCRG9Hus07/pJCb/fhzgvq+zaxoLOY\nNyLAjuhAAAE4DNrW0X6LejiN3ff8CMl6OWeX104+mLy0l+vc7iTtstwSPCZt3UCv1XHZSi3ZXxk0\n61BSaUGlcmUfss8T+O9+no4C1qqLlKmogMQM/iGlVLHzYdF/hpC6VygwtYXdnfdPDvz8au6qi5kk\nyR9ZZbVj9z6f183pnZ7ORMfSXuOC7N1tOD/dLiA6kHaR1WjWXMneNMyHwOFEWoiGYb+O8U/Mqdj5\nsIjoWFoEEjP4fyqtbvHptA96u3kJoYtUR9fTzSp+fpcMae2IP57llBM8ZV5mWe3Yfc/nRTguM/Hk\nvmbz1WCvrXde5VWQei7Cpq2Nzx7ka0uVN/22XMauCZ2+uJZHiVFHIDGD//fNjQIBi744kvJPJAAX\nDnzmkWlBg31tB+96ejKFsJ5UScWKMXufL+zmtCzaclojBjnw3ggVf3Ylm+hA2uhWXuXF9PJ1Az2J\nDqQVujjx1w/ynH88lfzTT0FiBn+7V1C182HR1tH+5BkiABCOTsM+7Ov+3/EBq+Oyl53LUKjN3Xwm\nIadi/P7nq2LcllrKs3Kdf/Vxu51X9Vc29aYSUWl1qy5kre7nLuIxiY6ldaZ3EQ/2s13wJ9mnn4LE\nDBBCqLxWs/hU+toBnh7UGa4BmE2Mp831hWEShTp2x5O7+earCTySVDr3WOoPI33ndHU0207NxobD\nWB3r8fHlbJIniYZ+uVtozabPCBMTHUhbfDXYS6PTf0ru6acgMQOk1enfOpHaw81qJjWvNGAGdlzG\n3kmB7/dynX7kxdr4HFP3PNHo9J9czl53Nffg1EAL7iDwRhcHPou242Ex0YG0Ql6F8odbBd8O96Fo\n1Zph+qnzqbL9T8k7bjm5xpjFyFHSGIaRJJJWwf6ntR/88nqurEazZ3IQsd+6Qx1zwhlibm3kM8Md\n+3kLl5/LiNn2eONQn4G+tqaIraha9daJVLVOf2V+F6dGxp6j4jGvUxc8HcO+HuIz5WDypGAHBz7Z\nq4UNYX90OWtWuGNnMWUmaG94kToKWLsmBk46kOxrx41ytyYwtsZgej0p+kIYyOVyokNAXC5XpVJp\ntVqiA2k1JpOp0WhaW6CHnhZ/dCHtr0Xd3WwIa4nNYrEQQioV9WarpdFoNBpNoyHvOFmNodPpLBar\npqambR8//LT4owtpvTxs1g/x87bDc4Tkg0+KVp1LfSPM+YuhvqxG5oxisVhUPFsQQnw+X6FQ1LtI\n3z35QqPT/zY+iKioWsJwzE+nlK46l/bgvUg+i050RC3F4XA0Gk3Di/RYUskHZ19efau7ty3BQ3xr\nNBobm380bidXYpZIiB/RVCgUyuVytZrszfYa4nA4KpVKp2tFHeP5VNl7ZzMOTAns4WplusCaxefz\nETl+lrUWnU5nMpm1tVQa7c+AyWTy+fzy8vI2b6GiVvPNjfy9T0pmdBF/EONmx21v9VtmWe1nV7JT\nShQ/jvLr7dHUcwyfz6fi2YIQEolEMpms3kUqVWh6/f5o36TAHm5EXoZN4/P5JWWVMduffDHQa2Qn\nKr1csLa2ViqVSqWRnmnfJuYfey45NztEyCG48lgkEr3+T3jH3HHFZZQvOZOxc0IAsVkZUJQNh/HF\nIK+/FoZJa9Tdfn744aWsNnd3lijUH13OHvjfp3523L8WhjWdlS2PPY/xrxi3Dy9nkXz6kI038oNE\nPGpl5aatiHbr6iyYe+wlSUbRqQOJ2UxUWl1xtSqlVPGkSG74L7dCKVcRVmF+PlW26GTa9vEBfSgy\nPgAgJw8b9q9j/K/M76LR6fvteDLtUMrR55KW96q6m1/1zqm0iJ8fVtZq/loYtnaAJ4XqSHE0N8JJ\nq9PveUze5khPC6v3PC7eMNSixgTEMPT9CB8Gnfb2yTRS/SqCquz68KrKLqxS3cqrvF9QlSqtTZMo\nXlWp2HTMjsdk/W/4urIabaVSw2HQ/Ow5vnbcQBGvq4ugq7OgzVWCLazK1uvRD7cLfrlbuG2sf18v\nUmRlqMo2v/ZXZTckq9Ecf156LFmaXCLv6WYd7WHd3VXgJeQ4W7EY/5t6SK7SZpcrX0oU17MqrmWV\n6/RoRph4VrjY1boV/fQsrCrb4G5+1cyjL26+FU7CzsE6vX7k3uSR/rZLolyIjqXVmqjKNqhWacfv\nT+7iyP92uI85A3tdvapsSMz1tScxa3X6uwVVF9LKLqTKXlWpujoLotytghx4fvZcb1uOoMGjgFqr\nK5GrM2S16dKa5FLFw1fVKaUKXztujKd1jKd1H08bm9a8+WhJYq6o1ay6mJVULN87OdDHlizjbkJi\nNj9TJOY6+RXKGzkVibmVT4rkOeW1Kq3ecPLrEapUapwFLF87bm9P635eNl2dBW2YLtAiEzNCaNm5\nDLVWv3W0n5mjataOB0V7n5RenhvCIOXcjk1rNjEjhKQKzai9ScP8bdf0J2YsM0jMzWhbYn4pURx6\nJjmSVMr8v/buPqqJK20A+E1CQsgXCQkhBlIgEJCCoNjypYsWcY+KVdFta7dq8aNdl113sa9afV+q\nte1Wpda1wFlrra6060fd3WOR7dnWalkVBK0WUBFNBEEIRCB8hJCEfL5/0MNho2IIITNDnt9fepkh\nz3nIzDNzZ+69FNI8GW9+hF9iEPtJ75SOwGC2Xm3pK2vqvdSkuaHSxotZc8J46VJeTMDTV1V7amH+\nuk6de64xScLeN1/K8cbRSDkozO43roXZTpfe3Dfw81MbEZs29jUPJmph7tKZkj+rPrI0EldP2Vv7\njKmf1xS/Pi3aD0cnDcc5UpgRQq19xsxjtfMi/HamYVCb7QozIRONHyaL9Rt59+Hrbbfb9Uui+Icz\nI54PZI9lgCXdi5wa4jvYw9ytN19o7D1X3/3p1VZvCjk9jJcm5aaG+LK9R/cQzmZD/7nfU3il9X63\n4c8LpHPHZ+wpAE/i5+M19ne2PYEfg7ojLXjLdw2la2KduKwfJ1u+a3gpWpAg8SXoxZCDxGza169F\nZx6vtdlsO9NCsB0nD0eLk3oN5qKqh4euqfgMr7XTRb+K9vehuvhA4vl4LYniL4niW222n1q15xt6\n8iuVbxbLY0WsZAkn+Rl2nIglHHFSgroOXWlDz8mbHVqjZd10UVa8iOHqIAEALvTqFOHxmvZPKlo3\nz8TFih2nb3fWtus+XSTDOhB3mMSmff1a9LITt7v09/bNl2J4bQRd2fae2pXd1mc8cLX1bzXtyRJO\ndqLYzZ1OXTpTRXNf+YPeqy19dR06Lt0rQsAQs2mT2DQ+i242m00Wm1Iz0KwZqGvXGa221GDOoijB\nfBkPzw+HoCvb/dzZle1yE7Ure5C8Uz/vi5v/XhUTKXj6A6xx1aUzzThUU/hi+Bwpl7g5d7Are0i3\n3rzqn3doFPJfl0a47ZEfPGN+ihEKc32XobBSebpO/WKk3++TxJgfNmarTaHWK9R6ldbYqjHqzMhq\ntVLISMymPePrHebnExPAIMR8tlCY3Q8KMyYcKcwIoY/LW8439PxrRTS2x+9vzyhIJNJfXgxHRM75\naAszQshosf2uRHGnU394SUSEwB3zgsEzZmfUqPo/udzyw/3eX8f6l62LC8LHEkxeZFKUPyPK/+fr\nAydm/gIA4NAfksTFderD1x++8ZwIqxj+dVdd1qS5uC4OqwAwRKOQPlscUVCpXPDlrT+lh7wyxd/N\nAUBhHonNhn643/OXK603H/avjg/4aF4YnwEZAwCMLyqFvH9B2Esn6+aGc0O4GAxr7Og3bfq2oXCh\njOepb+2RSOgPyYFJEs6bxYpz9d0fpIcEPGE9lfEArwI9nmbA/Pl11czPq9/+rmF+hF/176ZvS30G\nqjIAwD3ixax1zwVkn7mHyYxU//Ntw4IIv/Qwrvs/GlcSgtj/WRvL8faacajms2ttbls5Gwrzf7FY\nbd/LO7OL78YV/nT2Xvf/zXrmym+mrZsOLzMDANxt04wgo8WaX9nq5s89VtNe+7D/vTkhbv5cfOLS\nvT6eL/3qlcl/v9WZcLD60DWV4zPOOm0i3wLqTNblX9X9Mpz34mR+MHekp8JdevOF+z2l93vO1fdw\n6NRfxfj/sCY2FDcTYwEAPBCVQj6wSDav6NYcKTdW5Kb1j+906Lafb/rqlcmPzlToyaaL2d9nTfmh\noSe/QtlvNOekjO9gtolcmL3IpLXTRSV31XvLW1g0SrSQESnw8fPxYtEoJBKp12Dp1pvquwx1nTpV\nn3G6mPWClHvi5ahZkwMJuuwjAGCCkfF9/neW5M1i+fdZsaOdWcgJepP1jWLFWzMCn4MV5x4nTcpN\nk3Kt4z+UaSIXZhqFtDiKvziKb7JY5WrDrYf999R6sOMmxAAACslJREFUZZ9RO2CxIcSle3HpXoui\n+Fv9JZH+jLFPEwgAAC63drro8gPNH7+5dzgzcrwHT209ez+IQ8tOIN5KFe7khjFsE7kwD6FSyNFC\nRrQQ42HHAADghE8ywuYevXnwWtv65yeN36cc/enhxabe86tjiTD3wQQH7zQBAACusWiUI5kRe8ta\nKpv7xukjLjX1fnDhwZfLJsOs5ngAhRkAAPAuyp/x8Tzp6/+8o1DrXf7L73cb1p2W718gdWQVO+AG\nrrw4MplM+fn5Wq02ODg4KyvrsY2dnZ1vvfWWUChECG3cuDEwMNCFAQAAwES1OIqv1Ay88lXdt69P\nGXn1mlFp7ze9eqpufYJ4YSTfVb8TjJEr75grKyvFYvGOHTva2tqam5sf29je3p6RkbF37969e/dC\nVQYAAMdlJ4rnyXivnqrrNZhd8gvVOvOyE7fTpNyNKXA2xhFXFmaFQhEWFoYQCg0NVSgUj21sb29X\nKpUFBQWlpaUu/GgAAPAEH6SHRAoYmcdvq3Vjrc3devOyE7WJQew/pYe6JDbgKq7sytbpdHw+HyEk\nEAiG1iGxaxQKhTExMfHx8fv37/fz84uLi0MIbdmypa2tjcfj7du3z4XxOIdCobBYLFwtuuUgMplM\npxNyUhQymYwQolJd1jvnNiQSiUQiETHtJBKJTCZzuYScc5FMJhPx2zKIwxnrQrF/WzH996drl5y4\n/e26hEBfJ797DV26xcdvJAf7fbosxpHxP8TNOYVCoVAoPj7uWCTKOY8uT+eCwnzu3Llbt24lJSUx\nGAy1Wh0WFqZWq/39f16Ow64xMTFxsD0tLU0ulw8W5hUrVhgMBiqViodlxVgslsFgMJtd01PkTjQa\nzWw2E3F1qcHCRsTFEwePeaPRiHUgo+bl5UWn0/FwxDmBTqcT8duCEPL19dXpdGO/7s/7Zej2c7YZ\nhZePLJucKPEd7e4VDzQr/1775vPizb8I1ut0juxC3JwzmUyj0YjnOaMePWm7oDCnp6enp6cjhEwm\nU2NjY0JCQlNTU0pKyuBPZTLZ8Mbjx48/++yzU6dOffDgQXh4+OA2sbGxg//Aw3rMNpvNbDbj+a/4\nJBQKxWQyEbEw02g0hBARcz6YbSJGjhCy2WwEjZxGoxE0coSQq66et8+WRPDpLx2v/WOyeENSoIOD\nj00Wa+GVtsLK1n3zpYuj+Gazo2kkbs6tVqvFYiFW8K58xpyUlKRUKvPy8oRCoUQikcvlBQUFdo3p\n6eknT57Mzc3t6elJTk524acDAIBHWT7F/9+rYv5R25nx5a3LDzRP3f5KS9+cv948V9/9zcroxVHw\nDjZ+kXD1MBUPd8xcLpegc2XT6XSj0UjEO2Ymk4kQImK3KoVCoVKpROzio1KpTCazp6cH60CcwWQy\nifhtQQgJBIKuri7XHqRGi62o6uGfL7fEBDBXxAlnh/pyvP+rK9RgthbXqYuqH9Z3Gbb9QrJqmtCJ\nSSWJm3MOhzMwMDAwMIB1ICMRCATD/wuTvAAAAIHRKKQ3nhO9Fic8+pPq0x/bfntGETeJJWRS2TSK\nwWy906m/p9ZPncR6faowM9ofFgUgBCjMAABAeAwqOTtRnJ0o7tKbr7ZouvRmzYCFSiZlxYue9Wfw\nYKJNQoG/FgAATBx+Pl7zZH5YRwHGBObKBgAAAHAECjMAAACAI1CYAQAAAByBwgwAAADgCBRmAAAA\nAEegMAMAAAA4gq+Zv/AgJydn7dq1U6ZMwToQD3L06FEymbxq1SqsA/Eg1dXVX3zxBR7Wc/MomZmZ\nRUVFY19gCjhu586dL7zwQmpqKtaBjAKMY7bX3t6O88nbJh6NRkOhULCOwrMMDAx0dHRgHYXHUSqV\nRJw0l9DUarXOsRW08AMKsz2hUOjt7Y11FJ6Fw+EMLskM3Mbb23tobVbgNoGBgfBVdzM+n89gMLCO\nYnSgKxsAAADAEbh2AwAAAHDEE7uyTSZTfn6+VqsNDg7OysoabHz//fc3b95Mp9MRQiqVqra2trq6\nemgbnU63a9cus9nMYDC2bNkCfd2j5UTO+/r6PvroI4PBMHny5DVr1mAZPTE5knO5XJ6amjrUaLVa\nDx061NHRweFwNmzYQBr94oDAkbRXVVVdvnx56Hyi0+l2795NJpOFQmFOTg6kfbQcyXllZWVFRcVQ\nks1m86O74Icn3jFXVlaKxeIdO3a0tbU1Nzf39fVt2rTpxx9/HNrg+vXrRqNx+DalpaVxcXG7du0K\nCwu7ePEihsETlBM5LykpmTlz5p49ezo6OpqamjAMnqAcyblMJhveeO3aNSaTmZubO23aNJVKhVHg\nxOZI2nt7e4efT86ePTt37txdu3YNDAzU19djGDxBOZJztVo9PMl2u2AY/GN5YmFWKBRhYWEIodDQ\nUIVCwWKx9uzZM3x8lFarbWtrG75NeHj47NmzEUJsNptKpWIUOIE5kXOVSiWVSkkkkkwmUygUmIVO\nWI7kXCQSDW+8ffu2xWLJz8/X6XQikQibuAnOkbRPmzZt+Plk1qxZKSkpnZ2dGo2Gy+ViFTlxOZLz\njIyM4Um22wWz0J/AEwuzTqfj8/kIIYFA0N/fTyKRKBTK0KuSOp2OwWDYbRMZGSkQCK5evVpeXp6Q\nkIBl9MTkRM6lUmlpaalKpSovL9dqtVhGT0yO5NyuUavVqlSq5cuXX7lypaqqCrPQicyRtNudT0Qi\nEZlM3rNnj81mYzKZmIZPSI7k3C7JdrtgGf3jeGJhZjAYarUaIaRWqx89DKqqquLj4+22sdlsp06d\nKisry83NJdyb93jgRM4zMjLYbPbJkyclEgmbzcYgaIJzJOd2jUwmc+7cuUKhMDU1FfpUneNI2u3O\nJ1ar1dvbOy8vLygoqLy8HIuoic2RnNsleeRdMOeJhVkmkzU2NiKEmpqaZDKZ3U9bWlrEYrHdNhUV\nFVqtduPGjSwWy+3xTgRO5Fwul8fGxubk5BgMhqioKLeHTHiO5NyuMTw8fLBbr6GhISAgwC1hTjSO\npN3ufFJYWHj37l0SicTlcmGUsxMcybldkkfeBXOe+CVISkpSKpV5eXlCoVAikQz/kdVqJZPJJBLJ\nbpuamprq6uqtW7e+/fbb8PKXE5zIeUhISHFx8YcffhgeHv5oCQFP5UjOH92lsbFx27ZtnZ2dM2bM\ncGOwE4cjabc7n2RmZh45cmT79u1KpXLmzJlYRU5cjuTcLskj7IIHMMEIAAAAgCOeeMcMAAAA4BYU\nZgAAAABHoDADAAAAOAKFGQAAAMARKMwAAAAAjkBhBsDT7d69e//+/VhHAQD4GRRmAAAAAEegMAPg\niYxG4/r164ODgxMSEm7cuIEQ6u3tXbhwYVBQUHh4+Pnz57EOEADPBYUZAE90+PDhxsZGuVxeUlJS\nVlaGEDp27BiPx2tubj5w4MCZM2ewDhAAzwWFGQBPdOHChezsbG9v74CAgJdffhkhlJKScunSpXfe\neYfFYsEjZwAwBIUZAE80fK5sCoWCEJo6dWpVVVVgYOC77767dOlSTKMDwKPBXNkAeKKDBw+WlJSc\nPn1ao9EkJCRs2LCht7fXYrG89957ra2tERERGo0GVjoCABNeWAcAAMDA6tWrq6qqIiMj/f39V65c\nyePxFi1atHz58qKiIiqVWlBQAFUZAKzAHTMAAACAI3BRDAAAAOAIFGYAAAAAR6AwAwAAADgChRkA\nAADAkf8HcvP2tbCmzdcAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 9 -u in\n", "m <- prophet(weekly.seasonality=FALSE)\n", "m <- add_seasonality(m, name='monthly', period=30.5, fourier.order=5)\n", "m <- fit.prophet(m, df)\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modeling Holidays and Special Events\n", "If you have holidays or other recurring events that you'd like to model, you must create a dataframe for them. It has two columns (`holiday` and `ds`) and a row for each occurrence of the holiday. It must include all occurrences of the holiday, both in the past (back as far as the historical data go) and in the future (out as far as the forecast is being made). If they won't repeat in the future, Prophet will model them and then not include them in the forecast.\n", "\n", "You can also include columns `lower_window` and `upper_window` which extend the holiday out to `[lower_window, upper_window]` days around the date. For instance, if you wanted to included Christmas Eve in addition to Christmas you'd include `lower_window=-1,upper_window=0`. If you wanted to use Black Friday in addition to Thanksgiving, you'd include `lower_window=0,upper_window=1`. You can also include a column `prior_scale` to set the prior scale separately for each holiday, as described below.\n", "\n", "Here we create a dataframe that includes the dates of all of Peyton Manning's playoff appearances:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "playoffs = pd.DataFrame({\n", " 'holiday': 'playoff',\n", " 'ds': pd.to_datetime(['2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "superbowls = pd.DataFrame({\n", " 'holiday': 'superbowl',\n", " 'ds': pd.to_datetime(['2010-02-07', '2014-02-02', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "holidays = pd.concat((playoffs, superbowls))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [], "source": [ "%%R\n", "library(dplyr)\n", "playoffs <- data_frame(\n", " holiday = 'playoff',\n", " ds = as.Date(c('2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "superbowls <- data_frame(\n", " holiday = 'superbowl',\n", " ds = as.Date(c('2010-02-07', '2014-02-02', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "holidays <- bind_rows(playoffs, superbowls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we have include the superbowl days as both playoff games and superbowl games. This means that the superbowl effect will be an additional additive bonus on top of the playoff effect.\n", "\n", "Once the table is created, holiday effects are included in the forecast by passing them in with the `holidays` argument. Here we do it with the Peyton Manning data from the Quickstart:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "m = Prophet(holidays=holidays)\n", "forecast = m.fit(df).predict(future)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|============================== | 57% ~2 s remaining \r", "|====================================== | 71% ~1 s remaining \r", "|============================================== | 86% ~1 s remaining \r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays)\n", "forecast <- predict(m, future)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effect can be seen in the `forecast` dataframe:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ " ds playoff superbowl\n", "17 2014-02-02 1.226064 1.197367\n", "18 2014-02-03 1.903705 1.455035\n", "19 2015-01-11 1.226064 0.000000\n", "20 2015-01-12 1.903705 0.000000\n", "21 2016-01-17 1.226064 0.000000\n", "22 2016-01-18 1.903705 0.000000\n", "23 2016-01-24 1.226064 0.000000\n", "24 2016-01-25 1.903705 0.000000\n", "25 2016-02-07 1.226064 1.197367\n", "26 2016-02-08 1.903705 1.455035\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.226679 1.192500\n", "2191 2014-02-03 1.911294 1.373781\n", "2532 2015-01-11 1.226679 0.000000\n", "2533 2015-01-12 1.911294 0.000000\n", "2901 2016-01-17 1.226679 0.000000\n", "2902 2016-01-18 1.911294 0.000000\n", "2908 2016-01-24 1.226679 0.000000\n", "2909 2016-01-25 1.911294 0.000000\n", "2922 2016-02-07 1.226679 1.192500\n", "2923 2016-02-08 1.911294 1.373781" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effects will also show up in the components plot, where we see that there is a spike on the days around playoff appearances, with an especially large spike for the superbowl:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "image/png": 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i/HKkBH1CnTGrbxinyNBd08rVwYMGDcKGDRu0sSuj8FLPYGye1BFqjYhOC/7A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\nhBBCmA4znZZPuzixYZgvVSvpCJm9k+E/HeR6XoGxQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.plot_components(forecast);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+aiRJ5G/tkubw+B/6Yn/7FGvHNO2uQpozm4yisD9//euagxVL7+ym5XhLTNyj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sAavyvfXrgTf61s78xw470c9SBCHj3Q1/5QVtULvTuaeNUAYDx1at3CPZnp5XVfjfEf0tmhcfqt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\n8BU3C1P4quujAw/KC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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "prophet_plot_components(m, forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Individual holidays can be plotted using the `plot_forecast_component` method (Python) or function (R). For example, `m.plot_forecast_component(forecast, 'superbowl')` in Python and `plot_forecast_component(forecast, 'superbowl')` in R to plot just the superbowl holiday component." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prior scale for holidays and seasonality\n", "If you find that the holidays are overfitting, you can adjust their prior scale to smooth them using the parameter `holidays_prior_scale`. By default this parameter is 10, which provides very little regularization. Reducing this parameter dampens holiday effects:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative change in objective function was below tolerance\n", "\r", "|============================== | 57% ~2 s remaining \r", "|====================================== | 71% ~1 s remaining \r", "|============================================== | 86% ~1 s remaining \r", "|======================================================|100% ~0 s remaining ds playoff superbowl\n", "17 2014-02-02 1.204637 0.9667315\n", "18 2014-02-03 1.861227 0.9152529\n", "19 2015-01-11 1.204637 0.0000000\n", "20 2015-01-12 1.861227 0.0000000\n", "21 2016-01-17 1.204637 0.0000000\n", "22 2016-01-18 1.861227 0.0000000\n", "23 2016-01-24 1.204637 0.0000000\n", "24 2016-01-25 1.861227 0.0000000\n", "25 2016-02-07 1.204637 0.9667315\n", "26 2016-02-08 1.861227 0.9152529\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays, holidays.prior.scale = 0.05)\n", "forecast <- predict(m, future)\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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29012016-01-171.2006310.000000
29022016-01-181.8419060.000000
29082016-01-241.2006310.000000
29092016-01-251.8419060.000000
29222016-02-071.2006310.957093
29232016-02-081.8419060.979777
\n", "
" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.200631 0.957093\n", "2191 2014-02-03 1.841906 0.979777\n", "2532 2015-01-11 1.200631 0.000000\n", "2533 2015-01-12 1.841906 0.000000\n", "2901 2016-01-17 1.200631 0.000000\n", "2902 2016-01-18 1.841906 0.000000\n", "2908 2016-01-24 1.200631 0.000000\n", "2909 2016-01-25 1.841906 0.000000\n", "2922 2016-02-07 1.200631 0.957093\n", "2923 2016-02-08 1.841906 0.979777" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(holidays=holidays, holidays_prior_scale=0.05).fit(df)\n", "forecast = m.predict(future)\n", "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnitude of the holiday effect has been reduced compared to before, especially for superbowls, which had the fewest observations. There is a parameter `seasonality_prior_scale` which similarly adjusts the extent to which the seasonality model will fit the data.\n", "\n", "Prior scales can be set separately for individual holidays by including a column `prior_scale` in the holidays dataframe. Prior scales for individual seasonalities can be passed as an argument to `add_seasonality`. For instance, the prior scale for just weekly seasonality can be set using:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet()\n", "m.add_seasonality(name='weekly', period=7, fourier_order=3, prior_scale=0.1)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%%R\n", "m <- prophet()\n", "m <- add_seasonality(m, name='weekly', period=7, fourier.order=3, prior.scale=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Additional regressors\n", "Additional regressors can be added to the linear part of the model using the `add_regressor` method or function. A column with the regressor value will need to be present in both the fitting and prediction dataframes. For example, we can add an additional effect on Sundays during the NFL season. On the components plot, this effect will show up in the 'extra_regressors' plot:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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v6GbDwzrgz1fsMW51Ol7aeBK/nS7Gusc6w8nKVOrSJFNUWY+Bn6fhbHE1Pngo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\n2KtDzkaJY5Znhb6wmVOW7LMTZ86cKfcmiFqS8Nskv5jqD+uUy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def nfl_sunday(ds):\n", " date = pd.to_datetime(ds)\n", " if date.weekday() == 6 and (date.month > 8 or date.month < 2):\n", " return 1\n", " else:\n", " return 0\n", "df['nfl_sunday'] = df['ds'].apply(nfl_sunday)\n", "\n", "m = Prophet()\n", "m.add_regressor('nfl_sunday')\n", "m.fit(df)\n", "\n", "future['nfl_sunday'] = future['ds'].apply(nfl_sunday)\n", "\n", "forecast = m.predict(future)\n", "m.plot_components(forecast);" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|==================================== | 67% ~1 s remaining \r", "|============================================= | 83% ~1 s remaining \r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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P/vrqq6+2bt1aUlLyxhtvbNq0aerUqe+8807zn6yysrL5O6kTwzB1TsnZWOfS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\n/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H61kDBueGQszyRLeQYhtbpjqti4PEP6+6jOzsoFmiU7c3lWWkG925mJTLs4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\n/Ltr166NGzfefvvtponmk7xMLcvyU0899fXXXw8cO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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "nfl_sunday <- function(ds) {\n", " dates <- as.Date(ds)\n", " month <- as.numeric(format(dates, '%m'))\n", " as.numeric((weekdays(dates) == \"Sunday\") & (month > 8 | month < 2))\n", "}\n", "df$nfl_sunday <- nfl_sunday(df$ds)\n", "\n", "m <- prophet()\n", "m <- add_regressor(m, 'nfl_sunday')\n", "m <- fit.prophet(m, df)\n", "\n", "future$nfl_sunday <- nfl_sunday(future$ds)\n", "\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NFL Sundays could also have been handled using the \"holidays\" interface described above, by creating a list of past and future NFL Sundays. The `add_regressor` function provides a more general interface for defining extra linear regressors, and in particular does not require that the regressor be a binary indicator. Another time series could be used as a regressor, although its future values would have to be known.\n", "\n", "The `add_regressor` function has optional arguments for specifying the prior scale (holiday prior scale is used by default) and whether or not the regressor is standardized - see the docstring with `help(Prophet.add_regressor)` in Python and `?add_regressor` in R." ] } ], "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": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }