{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "import logging\n", "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%%R\n", "library(prophet)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Forecasting Growth\n", "\n", "By default, Prophet uses a linear model for its forecast. When forecasting growth, there is usually some maximum achievable point: total market size, total population size, etc. This is called the carrying capacity, and the forecast should saturate at this point.\n", "\n", "Prophet allows you to make forecasts using a [logistic growth](https://en.wikipedia.org/wiki/Logistic_function) trend model, with a specified carrying capacity. We illustrate this with the log number of page visits to the [R (programming language)](https://en.wikipedia.org/wiki/R_%28programming_language%29) page on Wikipedia:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('../examples/example_wp_log_R.csv')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "df <- read.csv('../examples/example_wp_log_R.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We must specify the carrying capacity in a column `cap`. Here we will assume a particular value, but this would usually be set using data or expertise about the market size." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df['cap'] = 8.5" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "df$cap <- 8.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The important things to note are that `cap` must be specified for every row in the dataframe, and that it does not have to be constant. If the market size is growing, then `cap` can be an increasing sequence.\n", "\n", "We then fit the model as before, except pass in an additional argument to specify logistic growth:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(growth='logistic')\n", "m.fit(df)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -67.9808\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, growth = 'logistic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We make a dataframe for future predictions as before, except we must also specify the capacity in the future. Here we keep capacity constant at the same value as in the history, and forecast 3 years into the future:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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LXzAw0olb0RFO322lfBfo0RkVLYomudqXq3u3n7rTsvhw6ZBYcUpwtJ0jb7pU\nU1Cns6TsuFE/s1cwNRoAXNCbbKhgVEeVPRfKJVUSZajQqnhd3qr8zZItgyBgxtZ8wLAGqVFZWko8\nUjsuBW65XpsVJ/7f9ToAkKm0x0ua00KFzfYZfSxCOtZ0vHRLx2kx0055HCRwIBCIDkHqPOzMMFFe\nXv7nn3/St+Tm5g4ZMgQA/vjjD2rjpjWrn5j3MgBIpdLHHnssJycHhs2D6iLIO1RbVdnc1Jh76bxS\nqeifNaJHWt8Du7dTHec+MgoAFgUENtbXAcD7K9YMHfvQ5cuXa2pqkpOTm+p1qRh79c2cPf8NAJC0\ntly/fCGmS8L3Ow7cvJ7TvVd6RHSs7Usgs0mS+upr1dKjJc09QlxWFlWlIZi4ZVe/FSfKnukT6q/P\ntmnNdFLSpDhwq3F0ov+7B4pFbEZ+rYwgoLpVqdIQJu6fFlGotfn1RuqQVoWGLnBQ+gzqc1zlYM6H\nOqnqWlVbaAIbAKRKLZ9tULQvOXwnv1aq1BItVgrENFhKx0mZPzSOqwgIAi5VSAr19diuVUtf+vuW\n1A6jjzXIm+ENAodzViG3ggQOBMJbOHHixHvvvSeXy8dNffLDN+d7ejrt4Jxt5fMNP5psOXX9Filw\ncDgWgj6ys7MPHjwIABDUBVQ6g8jkIb3JRnrGgMWfffvfj01zjzbqBYtP3p5feCP3j03rTA4Ii4wO\nj4o5un/Px2++RG557o33Hntqnl3XQAAAHChqeio9hKxj0ua6T8n3skse6uqfZVZYXK0lDhQ1jk3w\nowQOG3qFc2WSrdfr6Gtzfp1sW16dPbEhO/LrTfJnm6xbVCJRjYYgnwEnDAESlQYAbjXIXttzu1+U\n6P2saAAobZKfvNPshKlKoTGVgRyC8tMEgCanKuHRIY0p3pB3S+59XqPIhwOB8AqkUumjjz5648aN\n4uLib5Z/tPF/f3f+HOyUIToSdiGXmjoTnD9+mBxtzpw56RkDyI0LV3xJNphM/UcRgwWxvYFrpEe5\nfO7UqcMHRk141MYZzaUNAGisr5O2tVHSBgCsW73UnvnnVEup+JQmuYb0oqiXqQrMSpY7QXZRU36d\n9OMjd8jiZ3RUGoIggK7qtyFwXK6SmGsC6mUqiwfTqZOqjpc0m2zcnGNYjz85eof6dqdcMZz4mpcp\nCQColqjkai1lD/q/Y2XOOcZQwajOLfOu1QSQt8UbMosrvE/DgQQOBMIryMvLozi1DisAACAASURB\nVP88+NcOT83ErTw4ebrJFh9f/9Kiwot3m8pV3GXrftywbd/245eHjZ1A7h05cmRqaioAAJMJwV0g\noodJ9z9//T44LDKmS2J4VIz901AqFZV3TYOQFXKD0KBWqy+ePnH9ykXyJyVgnb7bTK2vla2K36/V\nAkCrQvO3vnxXR8guaiQXvzqZafDOd5eqAOC/p8qpqmAqB5d5e2JDzpW15teZSk7H77QSBNEs1+wr\nbLxSaXDkpAQOJxwk1YRWQxB7ChoBoKZNdaK0GTqgXSAIQrfME55fYvNrZeAFPsXgHWYdE5DAgUB4\nBcnJyfSfXVN6UW3XZnHwbNmRiOjYqU8/S9/y19bf5j46emzvxKryuwwGMy6xKz1+BMdxHMcBAHAW\nAADH1FviVn7er+vXlN4urLhbGhoeSZ2FOiC6SwLZCKR5iV4+e+rwP7tNhhqf0X3958sIglAo5O+/\nPPc/zz356qwpK95/k34MfdkurJfV6b0XJXbXiLdGWYuyUp/R0lw4OHO3FQCaFZoWhd584OByom5P\nwV4lUf5wudp8O0EQC7NLn9tVuOpkGV0moJxInNArHCluzquRnS1rAQCFWrvvVuPX5yrq2yuXagO9\n54TTA7iM/UWNAOAFCg6vEHpMQAIHAuEVCASCTz/9lGxnDh72yOOzyLaXlE9zCVcrJRqNOjQ8ki5S\nUGz5YYP5xq1bt165cgUAgMEEAODYysRaVVHWp//gFet/6d1vILVR0tK8buueb37fNWL8w9RGvkC4\n+Ttd7o3A4BDDHDate3bKg68/NfXCqWPklv27tlXR8onRQ0D/KjBoNUzcDK/XtM3aVmCe88oGO27U\nlbfoBI4fL1eb5P+m1Q3RkFKjo+XHq6UqlRWZ46crNf89Xf7RkTsWXTIB4Fx5a53U1CJDSSdOmA/u\nNivoQZtny1q359U7UdKdggzY0XrBNz2Z1szz8/AOPxITkNMoAuEtPPvss2PHji0rK8OC4zHcjR8D\nLi9b2u4pKLFp9eJ39u/aZrGLXCYFAIIgflm35sa1yzyBYOXHizdt2qTbjTMAABhsAACuCJKHwrV9\noDFdBS+ePn7x9HH6loa62uPZe59+aUFIeETe1Ys5ly4AgLTNIMbV1Rh91hcX5huNyGAyyFMDAK1Y\nBhgLGTVtqgaZ2p/H/N/1Ol8uc+v12opWRYiQZfFKzamSKHNoaSfKW5W1UnWkjyFwlMpoZQgScXA9\nuV7ddqy0eUQX32qJavGh0iXDo+N4PADIr5NtzqlxIoNFvb4YunO+iQdp+Uk7/ilOfs3bKE/fachU\nZA1bz89E6wVzMAEJHAiEt/DLL7+8/vrruvbeY73Ckm0f7xwEQTTW12lD+LixTOOoKuVuye38nCuJ\nySmxCUkmu6wNpVQorEkbADB+yuMA8M/O//34zefkludrK3VJwIQBwOYDAJBzjugOw+ZBbG/Y/iEA\nTJz+5K7NP9uY6rUL57745P2+A4ZExnQhBQ5ThP4gl4DaQtpT/ss/t7D8qOgOa2rq0ib5zhv1N+ul\nF8oN194oUys1BNuOYNTDt5tMHEXpUa9/FzRQOTQpy4gTyzxZy/Rus+JWg2zRwdJfpqcCwJoz5c6l\nxaR8Lb1hYdNoCGB5hWJBrtEAAGAAABjmAlnKaTRa7VdnK8Yk+k/pEeixSRiDTCoIhIeprKyUSqUA\nQEkbALB7y68uP9HVSknF3dK3582cOjwjJCTExE3V4vG5NUYVxinOHj88e+KI5QvfeGbSmMP7TJ0h\nTAah5A8Wy/IXf7+sEd/t2N8jrQ8A7Nm2mdpuSDnac7QuPoVUNrB5AAD6LF5iSwYaOtcunt295dfF\nrz23d/sWC7tZXJjwHnQbYr5n5cbfZExBLc2aYMMT4tdrNXRpAwBKmuR/2FGMo6RJsT3f1Oe0lHbb\ns4saqdN2JDZEqtJoCIKsOtas0AAAQTifHooKRvWCVd6L6oYoVNoLZS2kDNc/0icz0sdTM6mVqv+6\n2YB7U/k2JHAgEB5DoVDMmjUrNTU1JiZm8+bN9F0EQdhIKE7uckgnQR78y7o1l8+dIresXLmy3V6b\nc2qOFJvGSQIAfeU++LflgBq1Wn3gwIHTRw9SycIxHBf5mGaYAIDouC6+fgEAUHQzr+TWTfquiIgI\nADBEwyb0ByZb95PNB4BuqWk/r1vT7oXYImsuhCVB30kgDjHZ89nxYoLQ1fcicdQubk8w6pVKSYOZ\nh8Tqk+VagrjTpPjiTHkBTflhLnnYj1JD1LapbtbJAKBJpt54vnzN2YpK+8rZmKPWEqTQ4wUKDl12\nEMILiqOqtXCwqF6rJbhM/OHkAHuSrblzMgSX6UWrfCeZVKRS6bJlyzQaTVBQ0KuvvuptNXMRCI+w\ndevWvXv3ku358+evXLnyrbfeIn9OmPqEtV4dcSOl+y7QC4vQJRu674VMpbX4BYyB4U+YwWCa99Vq\nNZMff/LUkWwAyBg09KMv1jNZLABobbEgvmz5YcPpIwdXbPjlucfGm+wqLy8H0Ks0ACC4C0SnwdB5\nAABsfkBccmuT1VKl9uITBADgHwmBMdBs5M9RifkCwLEjR86sPTxm6MCnn37a0cDLdoNR7zQpvqZV\nXqXQEsTre4vN64lQfpFOLPMn77TE+XGp8Xfl1RIdiyMl86J6g8Tx09WaobHitg6kJHcVGoIgq9lx\nmFifcOFfroiX7ghsxr9P4Dh+/HhaWtqkSZM+//zzwsLCpCRToy8C8S+kpaWF/nP69OlZWVklJSWc\nyG4CochiF+ekDarXiPEPnzj4D9keO3Zsu2OqtISJgV+pUCx997UT2fsM0577gnnHW/l5pLQBAOdO\nHMm5dD49c4CktcX8SJK7Jbc3fPZ/Vi+ASUtC6h8B5BcLz6c+fjhkf221lz10Hw5RPXVtjpkjLYsH\nACc0kfDP34f27lKr1RpGpkPDK62rRLbl1bUpNSdKW6yt1+bSBnQs1vFus+L/jhnq29VLndRtmEyG\nAM9/QFa3Ki9UtHqDYUVD6HKykUI55mmLE8uL5I3OEjiCgoJu3LjR2NhYV1fn69uOwRWB+JcwYcKE\nxYsXk+2ZM2eeOXPmu+++YzKZAx6c7Osf6B8YSE8d4ZL42MEjx339287cy+eTeqT27P2AtTGrq6u/\n+eabOzVNspQnTjQppqUERol1S/6B3X/SpQ0A2Ld9i0qhUCqVaRn9yQFLigq+XvYR/Zif137Rq29m\n5d07NuaWn3vNZAuLxVKR5hiM9tYMpX2u8I0NNAHR0G8aXNkD5dfBTsK6AkPvWRIUa7qXVN4wOcD3\nBUn93wcOq0dn2DsyANCiWlrk6qXH7i4brauOe+h20/eXTGNf7aFRH7nqDXEQGgKqJEqp40XhXU6b\nWkNWfGXiWM8QwWXPBZMrVNq6NiWATir2uDqf/S80qSQkJPzwww8rVqxgs9l+fn4AUFpa+u233wLA\n8OHDs7KyTKfFZOLuDAv818JgMLhcrteWQb93wXEcwzBHb2z37t2Li4u//eV/md279OjRo1u3buT2\nv/76i2zMe+0/s19eYGMEkciyIoTOpbJmPt+QviI9o196Rj8bx7NYrIkTJ96+fRsAgN8fAmNKWjVd\nw3QjyKSmr/K///f73//7HQD6DRm+7Nsf2BzOj19/fv2KUTDItYvnRqcnAIDYz7+50bKSucIs9adK\nperZs2dOTg4waG+qJEOODUMeMN8wkEtg6FyISQeuELYttnGBBqJTIXmo4WefR+DqHmjS1TqHLg/o\nQmMAgMUFgKi4+DoH/d4uVEjOVcqHxvvn1jdfqJD8fr1x7gMRALDj5m0npA0A+D2n7qGUcADAMM+/\nITkc7sHi2o6UOnMVSg1Bmv44THz1Q8lv7715ocyqOs2ttKk0t+qlAIBjGJ/PZ7MMj24gn13XYa2S\no/iKhPa8JRzFOXm3kwSOLVu2zJo1q2/fvn/++eeRI0dGjRolEokyMjIAIDIyUqUydZjCcdx8I6Lj\nMJlMjUajVnve0umFXC5vSY9w0qWcTIhp48ZaGzwwMPChx2akR/j8/beF4ikb/rt80szZ1swrAHCu\npN72nC+XO/zaPXPmsk7aiOpJ+lG2yFRqtVqrJQrqpYNHjlu7ynLZkTPHDv2y/itpm+S4sQqETnNj\nQ3JqGqEl8nOv0rdzuFyFnBYOwxGAog0AYmJifvzxx+nbigos1ioRh0BgDHQfDmnjgcHUKUK4dr5e\nMYjra/AOIeH5GASO1HHA1EuQbB4A8Ph8AhxeXEsbpTKl6J29BQCwK6/6qfSQKomyvs3J91u9VEk+\nZt4QjKpQqRs6fQW1iEylpaxXTExLL2/rQdRqdUak6ERJk0ylAYBnMyKWHinu5DkQGrU7FlOCILhc\nrqO9OulfRaVSEbpMcFryr8Xf33/SpEnk3rq6OpPjGQyGXG4hGA/RQTgcjkqlonsLIiiUSqXTTx2T\nyWQwGDZurI3ByV2JiYkW90rb2lhsC2VUKawN67QJxsdHL8FEp5Jf9q1ypVKpvFbd9uGh0l+nJE2c\n9uTx7H2N9RYCPjd+saLd8ctKitP7DczPvQo+wSCXgFIKAAqTq5i1BvasgvK8kSNHrl+/vlqdAj7R\nluYaDI8sAoGfwSwCAGw+MFjmOcFMiU6FPo+YbqRUGhwBiAIM25lsAGhpatKGObzMt8hV1U1S0q7f\nItcU10l+u1ZTLXFynZaqtEqlsqRJ3mBH/Iu7kSuUrXLPTwMAVFpCpdYAAAagVCoJb0gtToBSqRwW\nI9qawy6okz2WEhTI9YB5RaVSuWkxdUJx0klKucmTJ+/YseODDz4oKCgYPnx455wUgfASbKz91K7o\n6OjffvutT58+9L2BIaEtTY3unZwZiYmJmZmZAAYnStJvtEWublZoXvj93K4/frYobXB5RtqCByeZ\n1mkjaW1pPrZ/D0T1hCmfQA9Lb4OsOSAM4AVEZAweuubb9WvXrm1uthDbosMn2EjaAAC/cMh8zMYF\nAgBguJFpxjDpN4EjgD4PwxOfQ1Cc0fEAw8ZNcKZ4ukpb1qKTRBUa7X/2F1+tsuANaidqLaEhiEuV\nEtfWOHUOpUarc5DEsDCRJw21Gq1WTRCgS7gF3pB8gnLeIFfZnsH8ECHbp9NVL15wJwx00sUHBwdT\ndSIQiH8n7SYUHzVqVFFR0cWLF6ktddVV//fu699s3tXUUK/Vav0Dg2x0t+cUBEHUVlUKRT58oa3D\npk+ffvbsWWDpNCuXzp4KvK0oDe4LAJVNVoUnucxg9ggJj7xdkG/tSACIefjFUnYoRPSAnP2mKT6j\nUgHDZBri3PEjui205OJ2IWrnRkFQLKSOtbCd5wNz11swyuAMAEhOTSeKCx2bCcCO/PpdtLohVc7q\nNigUKqLV2WxdruWHK7ooYgYGDyb6fXfJQu23zqFNqS1qkAF40QJLxafoYsgxCBGyXnggbPnxu7a6\n2QeOYSwGZs0NCMcwyuLmaadVIzzvdoRAIEjUavWiRYsAAMShINJlIy7Iy5mc1WfK0L5Th2d88cki\nG93pehSLOhWFXPbyjEdmjBk4cUDP9ast+2GQ3Lp1CwAA132Q5F69/NnK5dtuSQFAjduy71BUV5Tl\n516xulvgV6NkAAAkDYSYdNO9pKBDdxt31EGSVuMtLqGr0a70h6DfdJjysdW+Fl1AcAYAVJbddSK/\np5YgXFsoXKUlvMFPEwCqW5Vk0VoMAyHHQaHQpai1RLNcA/qoECo2hM3AXs4M98ycqKUeAwAI4Nlb\nWMce4v25P01O6hbIM9+VFStOCTE8/5j3iGBI4EAg6LS7ZndwTNscO6arUAqDn4JeD1LbqbCO3Vt+\nMfG1dGj8LT9uuHn9GtWuq6mydmRsbCwATa/Q52EI00XQAJPV8a9IQf8pMqE+4td8gSdNJDhN/+ro\nCfV5O8RBoZLMmT5+/rrtA2fCkDkwYIbdjqV6cBwAln+/+W6z5/2fNFqdIcPjSNVaUpbCAEbH+z0Q\n4fpoCEfBCAIAfLm6R/fNQZFdgyysyp0AW2/XGR7n+8mI2KQAHrhI/8LEsRFdfAN4LAHbkpCHwcPd\nAqgKPkjDgUAgTCkrK/vss890P9g8aytiZZkFfaxJEnRrIkjOhXP0n8ez/7E2GV3RE0rgYLAMOSq4\nIsiabXQ0Twy9J1gbygIMVhvX3/CTbezrHtVTd+39ptEsKQ6+NfUdm6P71Yb0aqH8GqN7GUXY2g/G\nAIBWcNgt3x1oAOtI+i8XIlNpyeIyGGAcJh4ocOVHvHPgOAYAM3uFJOoXeE994nPZuuX10e4B/aJE\n5MJvnmicxcDGJfmDI/BYOFmPjWkpeQSHgWfFivks3Z8AEjgQCG/HTeoNGz8/+eSTs2fP6n4wWJT/\nhAmfvj3fRr5O2wiN65i0NltNCv7aa68BGOsYHphsaPtFGto4AwbOhIFPGh1gm6SBRg6baeMNpVIA\nIHWsLlRV4AcC/649UrOv3Oqa0svewUkiU6DLA8Bkw5DZAADTlgEAxGeCX4Rj41D4hgGAb4iz3V2K\nRqt1rY3GaRQaQheLSnopeIEYRK7ofBbOY+EAwGbgIQKWq8wZfDYe42tZ6Izz45rsEjAtqB8GRvuQ\nsgKOYVwmzmJgXz2YMDjGsWj81BBd+pn5/cIC+UaXxmXiaaECMLXneAtI4EAg3I5KqVy3eunCl+d+\n9uG7DQ0W0l5drZQYAjECosE3zIab5Fvznljy+vM7fv9Jq3XMc1Ds50f/+dO3/22nA30OTFoMAukh\nkdAPHl4IE9+F1DHA4kKCfTm/WVzoalyX1S8C/GhWdrpqh8379OvvfXz9HE7XiDMgJAE4At17V+AH\nAJA00EiycYjeE199/5NuvW0lTOs06E4hs3ubFpzrTFoVmpyaNqBWNS9Y3Hh6FQIGEMhnxftz/XjM\nFzPDXDJ4gh/vvSFRXfwsyByhQlYA30h59kp/C74jGAZ+PKY/j7lwSNT2x7vvmNE9PoAbLeaECu2N\n8cEweC8rSn9SNs84dXmcL3d0gh94xT+FBbwiOwoCca/QbhiIycFk449N67b+uIFsazWaNz8yJKuQ\nSiTZf2/XqDVJSUnZ2dkAAAmZIAqE8GQQh5jUEiMpzMstzMs9cfAftUo5ZdYz9k9+yKhxdla9j4iI\nKC8vtyr0BERBv2nQ60HdQk5iXojEIpE9oEtf041U37g+zIiuVPa0RV9u9A8MqmiRV0gcT/bA5kO8\nPg05kwNTPnZevQEAfPGQ0Wm/WM4+1tlotEC5cHi2FihBEGoCAIDDwAAA18uFE7oGBAqYmzwRtEIu\ntwDAwLEnUoPJhdwl+cWZOLZ4WIyYywgVsm83mma24DBxk1RsIQLLMsRDXf1Hx/v58cjFFwOAUCH7\nsZTANWcs1PAzZ1yCH8dGPTbqQjHvEQINIA0HAmEVixYQJ6wtt/INpT327dh69tihhtoaAFCrVEsW\nPP/lpx98vfzD8+fPx8XFAeg/8UWBEJkCAMAR6Iqjmk/v/BmHppGeOXD0w1OAySaDPl5ZaBSpsa+w\n8cW/bt1ulF+tlITHJQJYN/9yRTDgCSNpA4xVINZgsqHf4xa2D5oFwfEwaQk8uljNNLj4iQPDACCn\nqrVF7nhu3KgUGPy04Wd0LyrwxxkYrM8+ft8LaoYAAFypbNPqY0O8BB6LAbT5dA3k9Y9yMmlvBxkZ\nr6vV9dbAyLGJukfUvIKamMPoG+6YukvAxsWkL6rZbeex8MxIn4nd/Oj6Bmv/OgIWQy9tGLD/X/Ip\nY51WiIBFP5FI70aK6a/Yex4SQAIHAmGCNafLjnh19EgzSue18OW5U0dkXjl3uujmjUtnTpIbz58/\nX1xcDECrjEoWCglNhLQHLb6RouLiHZqGQi7bX1gPs9dC2oMAIPY1khj2FtQV1Mku3SwGgIHDRgGA\nY19HPsHwwKR2jolMgTBLlaKDu8DMzyG2t8nmN5+dtXzhGzUNTvmsBMcbKq24gpNHj8iVXpH++J9b\nDXqTCma+dHmE5CA+APjoI2OZuIuXOWvD+fNZwUIjJwbKRTRIwGLpIzVCBGx//Y3CMQzHsNXj4qf3\nbC9ZizGv9ddpyHqFCkx0DGFC9qh438xIHxEtNtihO2CnZ+vzD4SZ+KMsGx1HTcaXy3ymry74i+bD\n4UUSh1c8rAiENS5cuFBRUTFo0CB/f8ccuV2L/dKGyZG3C/L/2LROJm3r1jNN0tKiVMprKnWK0x2b\nf3r+zYUWhqAMGWSabf8owBmQNRuOfk8/qv/QkTOfe8Whq1DI5boPfYE/ALRJWqld9bXV1/NuQFDc\n2jX/lV9Nmfnc/CP7dl9xdNWgp+akg+GQPBQEvtB/hmMD4ox/dv6vMuwB4Cc71tEdsDgY7hUvzBaF\nVsghAICBQVas+PSd1sPFVv1/O4d5fUIBYEbP4CtV0rwaabSY48Jcn/EB3L5hoj9yLSS3jfPlMHG8\nhm5xs3TepEDetJ5Bf+TUvpgRnhzE9+UyOEz8qiNqMyaOZUbqdDaTuwfuv9VY1GCQPi17aDpyB+z5\nUxNxGINjxObbOQxMqcGGxYn7Rogo/xLDlLxI3kACB8KLWbp06eeff062L168GB1tqZqGm+mIYkMm\nlT47ZZy1vTiGhYZHzn3lre++XGm0g4rbZLKBw4dhzwAAdHnAROAY9+hUvsDoC14mlfJoVWHNuaNg\ns5P6KQGgxwjIPzpAp8YAADiwezswogEAGKwfvv5sxrwXr5w/A7GOBLsCAJs2n/hMKNIH3Yx8AXqO\ncWwoEhwHgDtlZZDkeYHjlQ/+7zrhFS/vWqmySaECAD6bwcAwMdeTGbdIyFWNw8QFTPyptOCkQJ6W\nIEYn+O2/5YLE/O8Pieax8Os1bbk1UpNdfjymRGlk6LIWKTMw2qd7MD850PAHEu/P7REiuF5tV5r5\n97OiqMwWAKbCBMfgqYrRDnHgaYn0YTNxzGLwEZuBxflxcQyb3y88RGgh3Obnyd0a5eoIHyObJm5R\nBvI0yKSC8FK0Wi0lbQDAli1bPDgZ57hz+5aNvVNmPaNQyEPCI978cPmfxy4uWbJEt4PScOAMEPjr\n3hhm1oEPXn120fxnGupqAUDS2vL+/LkT+vUYmRp3/cpFsMK5u01KJh8AQOA3/7+/+PobipM14j7A\nE1NnxwDLHDzMLrcMOlQo77Bn4eGFhpAQ/0hrPdoBZwCAwjtcJ7QEptGXBOsebEuwczcqjS7TqNg4\nuSdp1/AM+u9oHAcBiwEAOIZlxbrAjYPDxCN9OIF8lnmSj0A+6+n0EJMF1Zp/aKiQTZc2AEDIZoxL\n8LVnDiFCVu8wo7w4DNpZWAzswUQ/s06OrfRpYUIyXBYAsmLF9BSimZE+Xz+UsGZ8PJk6zBw+GzeR\nNgBAzNF9t7jEYdZVIIED4aXgxjltOBy7Mmo7jUOaDNvZNSjCo2NsDILh+JLXnl/6zmurFv/njblP\njBgx4tChQ3369DFkv+CLDWXJmBYu//TZc999uQIAtv383Zmjh8iNv6xbY/F0zXLN7jO5hp8yo4oe\nzTH9gOcDAIAzuiR1q6oo6zp6OoR1BYcgRSUGC9LGAwCkjAYAyHwMIno4Ng4FhgMAX2jXquBuvlr+\nUUG+rjrM4GjPeESa8O7gKADA9UvbqHjfyd074BjbASivzJcywscl+Rk2GzMuyT8rzoJRwAbP9A7F\ndKVITEfjMLBQIVtokm3TseXVrqNf6RfBZxu9jv4zKFKgz6wVLGCNTdQZfE0W915hQvuD2ijJIDVU\n8OEI3avDn8d8Vu+W4RAzUoMtTsmzIIED4b188cUXZCMrK2vmzJmenYwTiHzEy9f9HBAUbHHvZ0ve\nPX/yKNkuLswfPHhwcXHxxo0bA8P00Zvdh0PGFF2byTb1qezyAMz8/MyRQx+8Mm//rj+pzedPHv11\n/Vc/fP1ZVUUZ/fDDN8tbhYbEAPlFpfS9UkL/1g5JuF2Qv2710is3bzt4uQDBXSC6F7A4updc/+kA\n0KFgVJwBAPUN9e0e2BlgeEW5Ls0r7g3VSAH4bKPYEDYDm9AtwFYHFyFgMXyNq55ScwgTsalIXcoG\nEcBjBQtZA6N9nukdOjnZMZFouD7qJFrMYRrfdvKk03oG0yfj0D+MPf+MGRGinsGm+sUYX64PlxHr\ny/3P4KhlowyuS3SpKDXMMZ9lMq4kkM/qEcynhEghh+FcGd4HIoT6KXkRSOBAeC8zZsy4cePGsWPH\nNm/e7OdnQWnpcZRK5be/77hw6rhWqwVLqo4+/QeNmmA5dqOu2jTsfsGCBXw+P7F7T8OmroN1DZwB\n6RMAADAMRIEQkgCPvA+iwObkMaeOZFcbyxabvlr9y7o1M8cOpkrbtyo0/5QaFQE5pwwsadJtUWkI\nCVV9tOtg4PueOPjPtWvX7LkDRrC4EN0L+k03/Bw0C+LMsm7YT3A8gOOlYt0EjpNvbwzDmN4hcNA/\nXvlsvIsfz4Wfs138uBO6WfbU7h7MTwlpfzVNCxU+0ye0WyDvi/FdfpvS7cPhMWIuw6EZPpUWQpmN\nnkwLTjS2KYjYTACI9eUI2e0Ho1rEhrlBxGH0jxKNjPd9ISPMRL1B8sOkpI2PJI6K96ULBPT4W4fr\n/zAAAIbEiBP8eX485oKBkTiGOa+y0p/e1QFDHQIJHAivJjAwMDk5mcl00rvZhqGkg8nLr1ZK5HL5\nzJkzP3hl3jvPz5ozZw5hyVutrrq6MD/P4gitLabRns3NzQs/Xam15pnIFQAAPLoY5m6AJ1YDYIDh\ntvN75l6+QDZu1skKG0xDOuukKgDQEsSmy1XX6K5zfDEAWMut3g4+QZA81PAzY4rOUuMcKaMAvEbg\nCE0Cvg8ACFg47iXfjQQAQO9woQ+XObFrQFIgzyzfhPOsHNMlzpdrvlrxWPhDXf1NPScsnRfD4NHu\nAR+PiKWn0eSz7F10MAyjsnhRA1IwcWxO3xDqSNpMHHHVFLMpf88Hk/wo6wyOYQ91Dfh4ROw7g6Oi\nxJb/ECyKTvRtjjpPTOkeNCjGx1+frjQzUjipe8B4B8usGM5OZX/1jkeVbq/0PAAAIABJREFUBAkc\niH8jLimVcvLkycOHD5PtnTt37jpx2eSALT9smD6q38VTx8y6WmX/rm1gbdEIjIWnvoLYdMAZhu8X\nm/k9g8PCAUCu1q46WWa+d29hw6m7LbO2FWzJrTPaweICOCtwdMvqkIRhAlcwePT4jCEjXDZgRxg9\nnyyZ+2CSX5TYGS23y8EwAgAyI0W9QgSkDOTHY9qfJNsGXCbuw8EndgsYFW+qWRSy8IHRPqaptKws\naxwGbpIpJMaXO9e+dOxvDYwwCcqgK5Z4LDw9VG81oJ28Z5jAfreJ5ED+9JQgqr16bBey7ctj2jlJ\nExg0zzNHF3o+G39zYCSl0gjgsZ5/wPmM7JhZwxtAAgfiPsd+2cLRylN3JUbREyy20YteqVCs/2xp\n+6P0ehBi0qhfLU2NVqfB4kJAtOkLhGG1KlXmkOEJ3XoAwJXKNlKZYcLR4uYPDpZWSZSmO1gcAPAL\n9GSRDj3YG0s/r6nxQIZsG4yM90sLE05N0S0MQrZjZgIXQn3FRos5ycF8AOCz8DcGmTrNOCGCvDM4\nivxAt/YVb/L57tANCLXDKSFUyE4NNYvMGhpNpr3KjBQtGGC4TONgVMcgr2NAtM+IeD8qh1igs+nU\n6HFDTjwVQjaDxXDNw+RVig0KJHAgPIyr6rJ2fOTPT5f9fKXG/uPT+vYbNlaXqWLKrLnhUUYxKQq5\nfXU3kgbCo4shJIH85esfoHSoEChHAFE9Le4R+YiPX715+m7rx0fuODAgAJsvWvrNpvGPOZikyz3s\n3PJHSZGt6OLOB9P9V/dGn9kr2FPJHKlFZXbvkP5RurhNE+sGl4l/MCza0RpvPfRxv+brFtu4bIq1\nw2zQ7u3CMJjTJ8RcTvLlMmf3Dv7+kaRPR8bSU2BhRn0dDFPBAAAC+Ew2A+Oz8KxYMYbBxyNtxZfZ\nYE4fQ0QJdZn2a1zcgVcJHijxF+Jfh0VBhCCIeqkGwOxz3zoYji9c8eXM5+ZzuNyI6FiTvSKxr59/\nYGNDHQBAbG9IGgTXs6HczJ+DyQGcAf6RUH0LAPxTBl5xSE5isiF1LNzNMd+T3STKvqQArMSB0QAA\nQKnW/LFpXcrLn7d/qPu5dPkisBN1P0ovQ0y6R6cDoF/SqHWNx8JHJ/juK3RBhivbsBiYWgsWXYVM\nDgMAEZsxrWeQiMPoEy4MFbIZgNlfSu25vqGUHaRvuOjknZZWhUGZ1ztcCABBAuMoFUfWNfqhvlym\nRKmhEl71ChU8nR4aJLBqGKICUI1x3lWzayC/R4ggyZ8HAAwMe21ARKSY7XQ5+x76VCgs3FTyIcUO\n931fmeCdmUaRhgNxf+LoH/beW01ny1pa5eqi/DwquMMeYuITQyOiLO6K69pN10rIhJSRluM1SH9Y\ntu49Fdw1zcIxtqFygvV/HB5focvYweZBQJSTLxuccfX8maoyC24fnU91dQ11FX7NJR6dC4VheYsS\nc9LChE+lucz8NCre98EkCwFZTByb1zd0WKxREguLy3yPYMHqsV1m9w6Z3jNofJK/buW2+0FgMbDB\ntLMMjRMn+BnFhrySGQEAT6WFGHlTOvKg0euQTEsJ9NEHtfLZ+CcjYnuG8B21AdHXdnJw+5UKfcOF\nX4zrMk7vmyliM2anO5P3Qj8TXYNnt2+sm6BOjxJ/IRBWcccXgD1j1rWpAOD4oQPPTR0/aUjv49l7\nO37eS6dPAACEJECXTAB99AedpIHgGw6gc5sYPHLsA0NHO3waNg8AAMMgcyqEddMVce3zCMTbCmCx\nBYYDQOntIie7u5SqinJBQAgAMEAzc84znp6OAfI9/kC4KELEduFX5IuZ4eEiC+66fDZjUnKgybpu\n7ay9QgUTjRNyMOyO4329f4Tpek/rKmAxqCzm9FTfKcF8+9f49HBh3wghAPQIEYxO8F82KpbcLuYw\nnVunqXkwcYxto3R7p0DeHwHbsvWgE80rmNH/vAMkcCDuQ8wlDLIGrEklWHpbptYCGCIwd2z+5Uhx\ns+2zXDx94qtlS3b89qNSobB4wLCxDwEARPcCoT8AQMooiDMqGwuxvXUhITgjOCx81guv6X46BJmZ\nlMHSTT5rNgDozugcOAMAmhobnB/BhcT1bQtIBIDnM6I4HMupnTsZ8g0ewGOCfnUxr37uHEkBPBGb\n0T9KFO9v+hiQJULM0njbO3KkD3uAHfXio8ScnmYJNjIihGQiih7Bgk/1wgEYz4blyDIvYDHITOHh\nQpaYy4j00QlYbw50MgU+dR+onGMehFQ7LRwe1+6RHcFGDlNyF4aZ2v68AeTDgfAiOs3AaY6aLJMR\nHA++YdBUefVufc6xu1mxPtYUkhdOHX/n+Vlk+3bBjbc+XmlyQHNTI5vDY/EEKr1DKACA2Fhby9av\noBijprJi3uSxc3465fDUfYIhKA76Pqr7Gd8PontB4gCHx6HAcABgcRwXfdyBSBcMkhzML23yiurw\nNZWVMb5xjyQHFNTLAvlMAOAzGRwmrlBr6YdhmMNxTwsGRgBAjC+3ezC/yDhvCoOBg/niYfdiwsSx\nMYl+p+6apn4xYVJyoHley8dSgjQE9AkXmuTdome8sD+7hq4vEABAeoqwcGxit4Ds2409Q5ysBcNl\n6r4ThjqYN90dkJcWyDfyAnGTYqNXmNDGOzOQz6xtU3mTvIE0HJ3C2rVrp02bNn/+/PLyck/PxRvp\nfDmj8EbuB6/Me/eFp7/55hsAyMvLu114CwBA6K8LUk0bryWIJrnVsmFnjmZT7T1//mF+wH8/WvjP\nzq2q8B6QNNCw1aQGG1U2RR++X3jzhsMXwxdD9+EQmaL7iWEw5WPgimz2sQmOA0BYpAdq81ogOpX8\nPwaQd+WCZ+dCcmTfLrIxPzP80e6BAMBn45+OMI1r+Gh4rENJHjlMPISyZZhlr4rz5YC5hsMRzYqN\nqcT6cp9MC/5weMyDXS3n853eMyjRrHIYPaU6abKxf1mN9+fN7h1C1vvAMHilX/gvk7o6nRMzzo9D\ndp2QZDAkkZNxqJqJS/ASn4leYcKFQ6LAa+ZDgjQcbmfnzp2LFi0i201NTT///LNn53MvcrVSYv9b\nwx7x5YVpunDW8yeP5ubmbt26FUbP1+W15AiAKyLTZX50pPTzcfEWR6A7imYMGko22iSth/fuxnE8\na8xDx7P3AoZDrLENJTwZWFxQyQEAumUZ3CwEuoIRxw8egAGOx6N2G9IhCcOE8O6Qm+0fHAKVrstb\n6TT+uvvcUFv991cfw9SlpCvMgGD8Yj0oNFqbnd2CUqmzoNEdDsiElTiGdQ3gsZnYI8kB/aNES0fF\nvrO/2M5hPxgaJdJnumSa5Vb9aHgMmC0eHEcMGfS+E7sFnLjT0iBVAQATx758MN5i9u52BtQ3zJOD\ntUvvcCEZ7ULhw3V+MXqtf8T+W41KDeFuhwX7I03cusrb+TIk6+t6kbiBNBydwKVLl6j2vn372o1q\nQ1jEhVqQNkkr/efWrVsBaPmz2XxKD1HRYiFKtqRJDgATpz1JFknpO2DI3FfeAgCFXL7o5Wf++/HC\nzz58970Xn+o7YAgExUGvcUad4/pAeDeBUAShiVifhw2vpdRxwfHdAQAYTqXxFvgBw3UfD8lZANjZ\n40dcNqAruHjmBDTchat7yJ+B2ma8E95eBAFtpiFL4x5+zPxAPx4zPoCbFSte81D86rFdyCwRIWYV\n1a0R68tJCjAYFJ5IDe4aaGy/wDAA4DCNlo+MKB8HipHqGz1D+LN7G2qUBPJZTkgbQFtTR9tX5N2t\nYOAt/grWatua4CrVi8kg9J/ec08okMDhdvr2NQRDjhs3zqsUXN6PiZunPce3e4xAKOo7YIjpVsq6\nweRQi3ebytSksjW39vU9twGAzeE8/+bCvgOGXDh1bOUHb9/Kz9v2y/fXLp0jD7t+5dKAoSPDx862\ncPouD7SlPQozVhN03w4AhjgYAADzgrohDBZweOalXjyLnz+tilXZ9UkZXamcBy7gwFcRLZbSi2mU\n8NubUGMUsMPmWYgiCRWy101IXJhlOUC6Xab0CKKnAPflMuk/4wO4ZEhIciCfykTJxDG2I1kp4wN4\nsb5cAPDnsURsxvqJCeSraMlwJ21ntOTZptPwhCHDaEomdMJkqEvGaPOxfSTVdmh6joqYDqnB3I0X\nTeV+ZcKECUuXLh0xYsTjjz++bNkyT0/nHsA5ZYZDoskbHy6fOO3JQSPHrlq1SreJ0nDgOMRnkE2F\nSlNeWkL1Km2Sr7tQJVFpDudXbvpq9euzp144dQwAbuVfnzd57NpVn9JPsXf//orAVAvnTp9gKDpP\nQ4OzAcCVioqOIAyEuN66ttxjnrx00jP7b84+ndr7AQAYmpEeGRzwbparvEwIuHmi/NJhS3sIaK0N\nYanp25pr7U1Ha2cV+/Qw4YAoU4uYP4/JxDE+Cx+T4PfNQzrZdHSCH5UVg57b2x6C+Eyy+ivpz4hh\nGA4YE8eifJwqmuNl5cF0AofxVFwrZ9g5GlUBzh2DO4QfjzmnT4iI4wXfMHq84+12vzNv3rx58+Z5\nehbeCCUiWJQVXOtMeuXc6ZJbBWmZ/WPjk4JCQl9Z+BEA9Aji7ty58/jx44bjkocCU+e7R2D4U6t/\n/e7VqddUAUdLm/NrpQBAELD6YJ58/Ve2T1co7Gb7ABNq6uoAvEPDAeCbmtXkFwEAkH8Mii/AuAWe\nnhHIJW2BCeG9+w28drlaKBKCPlLUBRz9HpTS3qmpl8z2CAWCLefzV5+qqC41PIqJiYlmB1omkM+M\nEnPuNluOmibBMBgeJzb3YFgwIDI9TNg3XGS6YOiXVJM4CHvAMUgO5D+VrktT9sv0ni0SGcfpUFJv\nqg+mn4K9j0RH8n6ax4bQNRbz+4V/ePiOm7LdOySXsBjYjJ7B7piG0yCBA3E/0O6LY8sPG6hSaqMe\nelToIw4OCx8/ZQYzTPjFF18MGjJESn0bmQSShHX9ac+xa8EDGmWGz1y51uY7WuAHEd0h/SHHroHM\nENoZjgnt06TUv7iv7QVhoM1jO4mCvGu9E8LJRAv+PN03uktG7hnM6zHn+RnzHl9xqOBEvdErMSmQ\nx+Zw2ByjSFGxwN50IBwG/lJmuDW/0WhfTlqosHeYYFCM5WDOYXEWfCM6krJ6ULQ4JVhAhbBG+3Jl\nHOeFNsq446lSMkbYNKmAG7Qd1t45qSFCAOgd6QOgtnhAR05qezKeLdpiD0jgQNwzmMSqOBS6cuWc\nIb/Fgb+2k42ci+d2bv19165dUonE6ssquMsJIDQy43eHjfRcD0yGzKmGBBv2QxpTvEE9DQapKygk\nrLbNgfoy7mPjF8vjfNmTBg/LivMVsHAAYDEwJo6pjWvdzUrx/Sm3yf5hB0T5fDBrKRPHVrz/5olm\nMfR5hL53YVY0GKtSMiJEjuWypM0uPVRY1CRvkasBAMOw7x5OdEJmMqzu+v/bTsZAx4/H9HO2Dqo5\nlIrFrY8s9Tdu8RopRQWZFMQbRB8OE0sKFAQJWHKZiwUO23i/tAFeInBwOKZGRAaDYb4R0XFwHGcy\nXfaPvnTp0mXLlo0cOfKNN94YOHBg+x3MYLMtL2Y36pUAwGab5iCinoorFa1sNpv6aXWca1eO7v9b\nJpU2N1nIm3nqSLZcLl+yZAn4hlF+G6YwWBZycTCYgOFAmMVkcvjQpa8z0gbonEiSU9MdT8ThBli6\nGxseFRMu8L/q2cmQEMSeP/8YPHJshP7FwGbDqgcTX/urAMiVhtDG1l3+ac6H8OKvwLX35ftISjCf\ny6mtrtq/axtkzTHZy2GxLp05duHUHQjSleR9NCWYw3Gg0gebpa+CFumzamzCrP/lkQJHWqjAuVcc\n5RfCZrJMnv+0cBEAXKlotdbXbCjc/E/Mfv6TFXuuPEei0LBYTGomGbGGi8qI5dg/GWvQRzYfjdzL\nZisxHACAzWY5dFetvTdMIG+sjb70k/rwuT9O68liMgkH/32tTcbi2U2g33aTAd20kjoXbukVAodG\nY/pK12q15hsRHYcgCFfd2wMHDpA+sNnZ2dnZ2fX19bjj5oD/Z++8A5pI9jj+TQi9996liiiKBQti\n77333ruevZy9nu88vdM7Tz31zq5nRVERO4qKimID6UiV3iHJvj822SxJCElA8HQ/7z3f7Mzs7GQT\ndn77m19RdCZUf7JA/lvVQ+19ZAQVb0McdW3wKsAt19LSMjEx+axrLTIalQdVDQRMwu0/AWDAGpSX\n4PpucMvQpBesGyowDo1lW3Z1czH6OTTp3bss5UaoTYTJ5Gxs7QJvBKNXO/KQw+LzWSp8fn24dnPL\n2Ww29QMoKy1VVVXVUWUBcDZUj9kyFDxuXHkJQODUMoyrxsKGpJOTYWNzbR6PJ1jFkyLh3l6QjAYA\nn/fwxqUtS+ag8yxK4ODzCYV+tNRzWV2FRRD8zk6GR16k8Qhiqb+9kn+GwgH5BF/qn4P8w3I4nJo8\nCtTYgiT1RNX3pOaPGvoIYqM1sdKlPrJACiMUe7g1MteqViSirlLVxMQ68Hg8DodDEIr9TuiToQuO\nVV1dHhT9PdQBX4XAweWKq54IgpCsZKg5pMBRK/c2KiqKfvj582cjI4Xzd1T7xxD/MSoh9qNn46am\n5hag/VTIE8OTZCnPH4bcqLKtwxTkfELYmSlTpri4uHzOVvwPwVDoI2DvA7YKHp1AdjK0lA9IwOXx\neDxe/azlkggjo39KjANf9Gtpw0l5ybbPK/vSjzDC4fPLeJPKmegrSgeNmcTj8fh83o7VS25e/hfA\nkm2713Ror5n5YXlxHr2nnJdpbaurAj6PB119w6Hjp54+vB+fOogiw17736H8WACASJVF8PleZpqQ\n297QTk/VzUQzJrvU3ViDx+ON9DY59iqdxYeuqtIrgeAXQvD4Yn8O5KH8wyqxKIpBhjrl83lVPVJq\nvtrRR/Yy06TfdvrHb2qpczc+T0+VrejDrdoZVjUg+TOQ7MDj8ZR+zEp+jzV5Vtd8hFrnq7BQY/gv\n4u8vCmXRqVMnJaSNarn676nJA7tt+GHWiC5+7yNFen05n/Wm5pZVtumYwMYLHLV///23TZs21A6C\nApBWDsa2AtWIdw8Y2cKpucLjCOER4PG4H969UXqEL4GauoYluxifEwDo5sZP7d6qNnfJz65GzBMp\n9QTiw+/RK1jAqWt3vHx8AaxbOJOUNgBsXzq3tbWWg23l6BfyKXt7uRr50/Kw9x02GgDKi8HnIeEF\nrv6ED/fTUz8BQGmRaCYsxSRCQ01OHzdje0P1Ed4Cf4ERjUwPD3RV2jdEZPZR+Yuoyy18WsyJ6kNL\nUaEmlIg5If98VgfYbe3qqFwEM2oQybnVvWHEf8IUQ2kYgYNBSTw8PC5dujRq1Kj58+f/9ttv8pyi\naBSvB8FBVPnK6WOKjtCt/5CGTZpJb1PhwN6HzN36008/CTxEFII8pescwWHTPvDtL56bTRF4fOLo\n38ejWcqP8CV4cv926ocIvLsNwMnawtzYUEe1lhx3c1Lw6Q3inkpp4pXjw32jPJFzxxCbinfPQlOS\nEt5HRogprkqKCk3NLUZNFXwRrp6N5PGNVOUWt7HXo6+UyfFxAHDjVxyahvPr8f4eAFsHpz3Hzre2\n01Pnlgg7KixwuRhp9nYR5fgY3dhMPP+7IsgIt1W7yCMcCKJfSGR+oQ/yRSdAx9eqlpfqb3vtrxe+\nii0Vhv8ofn5+fn5+MjpcuXLl+vXrzs7OU6ZM0dYWT3stSWpyYkJMtKa2jruXt7pGJdNLVTWFZYKr\nH/NyOi5A6lqkVw4iaeEKA0sA0BQm7FYi3JaWPgytoUXLIkGmYlGW/DLe65hEOPtU37VOIah/SooK\nAGzr5jj67Ieaj9uq4sNjHle6NiLxNbjlVoY62cKtjNN/7MKH+wBGTZlF76inb6Crb/ApMeHY/j1k\njZq6urdXw1cVpVV6EiW/QVaiu4lqC+uWAPJyspPiY20cHE8d/gPkR80XxfVKio+dM2rAvlOXixK0\nItKKoJQXkbOxhrNxraXepTQcdZOtQ0bMCQilH021+vcNqXXqRdqgX/SbFHcYgYOhlqG8Va9fvz5h\ngiC2d0xMzJ49e6T25/IJEDwQOLrv5+N/7qXq/wm632/E2CcP7pCHg8dOVmgafIJ4EpueAj24+4sL\nHG5tBYaBqkKZRiGLURJtQ/RdQSYSqxWOvcoIcBAGO0//iMqBz+sLT2+ft6lRpMRhb24c9eZ1XlER\nUL3sWC0Txo9z0yMePH2ZXpxRqFU5PNGtvQAsbWwiE4Uhs4RySdTbSHrH/LzcDYtne3o3pWoiXzwD\ngE85GLwRAJsFY01OdgmXRw7A5+HsKvB5r4Hj5mqunt7Lpo+VnNvK7b8Enj1FuVKfP3aY1U4g6Egu\nrTUJIaUEalT0UpqsJrZQ1V36ZRZLhQUDDcVCkNXKDGtrPZY6mW9jsa/TX4J8MFsqDFL4/PnzzJkz\nTU1NFy1aVFxcrNwgt2+LYkWfPHlSap/IjOLBfz/vPmN196YudGkDwMUTRw0MRYro7M/yxpMmuRuf\n9ziDB0CKhySVWJXaSVFC4ABgbCsrIIeCVPCIm/ceCg6enkOhFD/eumfyzLkDR01wdXO3VytNu/DL\nzBF9l08fJ9mtsYW2Imk9MM3XwtlMPyUpIebpncLXd6X2if9It0oWLK4f37/t0KOS59Hd64FPhVKp\nCKElID/hlcOd7QYQGmE8PgW+oOnQ7p+OH5C+Fbhpybzc7M/UIYslstyo91xItvrqwjDecvX/omlN\nWARWtLfTUq1ly4lq+9f6J/o2JIyvH0bgYJDCunXryByqR48e/fnnnxU9nRSrs7JE7p3e3tKyigDP\nYtMKCTXom0s2FRcWHNkruvSZI38qNIfMIqFttn1TmDpUaqM2UCg/3q8joLhIEiotxO399ToVAe/C\nH/N4vC72WtrBu18/ug0ABF8sAImnat6WLo4syagkVZPzJrSstOTmZTICm8SuSkUZgNTkRCknZmXe\nvnZ52ISpljaiRCrPHt13aOBaqR81mYqSpw/uZKWlkkc/jKwkrJSXVunPQhd3WrbrUFYmtOEQTra+\nlqgZLSzJiFtsmRKH2ML8hdKD9fcwamCkVNQZmVev+9xvYlevl0t/DzACB4MU6AqJ9+/fKzFCRGrh\n06cie8CMjIyI1EKCIK6eOzllypSdO3eWlJQAyMwrAAB1KWk/A8+dfEJ7c82WO2MWgNxS7u04oces\njhFsG4naNPUEBhygKTaUSwpf66jTn3T17x/LKcj8c/OKiyeP/rZ59dtnDwS1PC7O/QgAxXm4ewg3\nf82/uqenjxO/WO7ssqHHT2+av2fzj4JDbuVUIx/uo7QAQGGeyNN14ZrN9C652dnDJkyl11RWh0Bw\n90oL8eIKAFzeirIiMx3Vti2b+rRoTXUaMEpaOl8hvx67sOPPY206dl3/w6y3EYJEK19awSG/qaYM\nvcKXS1omNvIIbzNrPeUNYGVfq85Or5ccb98njA0HgxSmT5/++++/k+W2bdsqN0hFRQVVJmOCXb9w\n5n/rlpM16enpVlZW1+99QvOBUKE9swytkJMiOZpC3uRvM4qjs0pEx/SF3N0fFsK3YSol/Vei4RAJ\nXgSHw6kH9/nPCTCxp464T86KSwMk2cko+IzAHUh5ByAZAMA/vQLj90rpLEZRDhIjAARdOLN9/z9L\npo7G039h6iSIfkHwce+wsKtI5NLU0urateuNGwL/lOsXz74Kl+JP6+Xj6+zm+fFd5Ju3b/HuDixc\nyGshPwOJEXvGTtTRVF21Y8+186d5PG73/kOMTc23LJ8vdZq+rdu5N2r84kmowClGqDIRkzfqbHWh\nR/hmASwW9CXyvdUxNTERIM8Vu3vMUv3Nwwgc3ymyE5GsWrXK0NAwIiKibdu2EyeKx3uWPezbiOdX\nz53U1Nbu2rXrP//8Q9b37t0bwPMwUUKTv/76CwDaTwIEmgZNbe0SXWuM2I5fBlEb7RQf34sCVBAE\ncfd64PvICC8f37aduon15BHEnfi8SlVGNlDhgMeFhi6cW4rqqS0V5Ww4ah1hltqhYyeb27vseSeQ\n2LRUWaUVfH4tuUGyWagyuljkTQTQjHOrCmhRmIU/JX4VpfIFsY4OJcUUAE1btVm3648f509DcS6K\ncvDySkNkWLZvG0wmu6FdfNOSufj4yMzMLCNDoOiSuuHSom3A24jnPB4PFaV4cZn6rn1b+48f0cpY\nUxWAvqHR8InTZc/Ru1mL9b/8CYBHibnCW1HfJhwAwAJrTksrg/oWOBgYFIX5yTJIQV1dfeFCxTKS\nZ2Zmbtiw4cHjp0lxApcQnxat//e//+3evTs+Pj46MTU7M8PeWeR54e/vf+/ePYE5hYoqgJLiYkzc\nCBYbGrooFg8hOmLyTKp85sgBMvXr2aMH5q3a2GfoKHrPGw+ehMRW3qNxa4d3t1Fegv6rqaDdAGDu\nArYK+LyvYhkByLggAFr6dyyq4OFdAgAHA/V1HR1+CIrJLK4dlceqdla7n2TklkqMRvAl5DxFtnXk\n6ZvzCa9EsVXWLZxxnwy1ErIfIX8AMOvZd+6qDS39O8RHRx2LolsrEwAoaUMqDg1cDu35iSxb29rb\nOtqamPNH3XxExqil8z4y4vifv6anpDRv4z935Ybdm1bTBnGbsXhlWWnpb9vWvX8doamt7dnY523E\nC6pDeblI5VNfpossFsRz1ss3eLUKCdn5SL+cBuIr9Kdg+BIwAgdD7bBy5crz58/Ta148CbW0tYuP\njwdwO+gyR5WzYM2WzLTUK2eO9+vXb9q0affu3RNsatg0hEtrfHojcPqwcEWsuMJ86Lipx//8LT83\np//IcXevX6Hqn9y/TRc4/vp157EYLhr3FJ9f+0kwtBLXiNs0hIFV9wC/oKyvQ+AQCkMsgHL6sNNX\nt9ZTqy2RqKO9TjtHo1I+e/uDZPG2T+/EtRSK5WeS2TnpNfLTEf2YDFpKcl8U2E1w7u2rlxI+Ru0/\ney3S/NmxiFMKzSQ95RNV/pSU8MfZqxqaWtyKij92bk6M/WhgZDxTbwF1AAAgAElEQVR5/lJDY5Oi\nwoLZIwUpYWM+vNXV07d1cEqKJ0OYI/7jh6XTxB1lbR2dk4QTuH3536mtFlQ7GSWQfzlngVWLUb8o\nt17ZE5DRWiuWE8x+yvcAYzTKAEhEEXj79u2IESNMTU0XLlxIN8WQgZi0QUJfA96+fK6qqjp/9abg\nV3EHDhxo2rQpQHMYMbIh9RwA0HGq2DhqZvbDfzpxaM9PZ/8+OLqH/4c3r6immKj3929eKysVWGwc\nO3pEirQBMvWJtGe0pl7Qv6e79B0kz2esM1Q5LFdjLXsDDQj9MNm1tL5oJIavXTA97G6IlLabvyL2\nmcDogUQhgaOiTKQg4XErJTThluPcGlzfLSlHShIb9b68rIyjqooP95FNSUVSZuLg4EA/LKnsv62h\nqQXg7N8Hzxz5M+z+7esXz/7+0yYAcdGVopYV5OdR0kZVJMXFUBPITIyS2kdqVGylF1HZJ5prq5pp\nKxb6ooZX/Pr5r8//O4EROOqCt2/fTpkyZfz48fTQFF8z69evDw4OBvD3338fOXJERs/MzMycnBwA\nnXr1l2wVe+kMunCGOlRRUfFs7CN6cVfTEgkfGpXTMatqlI/cVebcWqqlRUbqp3WLZs4dM7ggLy/t\nUxKa9JLnA9IGVweQkZam2FlfGC0O21CT08fNCBDYBvZzN6mFYYnyq/u3PQy5cTfoorR2AuXFdA2E\nd9Pmf54L2rz3L7F+3r4tIQm3DEG7BOX0j/h3LfKEdzVwu6RRjgxYLFb4o/vIS0deOjW1Nm3aBAUF\n+bXvRFb06dOHVJ6RiLnFdu03mCzQTX9uBV4IvRM8f9wQ+WciorQQADJimri7VtWF7s+p6PqnUP8d\n3R09zbTqMmo4A0OtwAgcX5yysrL27dtfuHAhMDBw6NChcXFx1Z9T39y6dYsqx8ZKf/8jCGLhwoWe\nnp6urq5bt24dMm4KhyO+Q5ecUOncEwf3zRs7eOm0sWvXrs3Ozl62ZZdI66CmiW7zhGUNgSDCVoGu\nCTpOA1sFYFEpTCWJ+fB28dRRK3+YjxYK6ipU1QFEPHuk2FlfEhWhAwKLBUtdtYGeJgCGNDSu7rzq\nMU+6j4LPABAdavo5UryZzwOgqSkKq/Dq2WNHF7cmzf18WorufDO/tut+/mPCnEXd+1dauWct/RE5\nQvmyMAuf3ooMcXJTJSezaN02suDs5kmv7z9yXHFR4V97dgKgKTaILl26NGvW7PypYz8fPr33xKVD\nhw6NGTOGOqszTd51aOCWlZHW2dtx28pFHt6iUPE9Bw5bM3eKlPsiD69vsCuK/U2JkeNkedKSfOVh\nqRhRg6G+YGw4vjhiEsbz588dHR3razJSkTTXGj58OBWKo0sX6SlCnjx58vfff5PlnTt3AjuldjO3\nsklPESjGU5ISUpISAIQ/uh8fH+/evB00hEGytQ1owbxZMG+A9I/o+QNc/MASisWtR5IJNRwbuMV9\nrJzOw9Tpo3lruLVVOA0bRx1sFdh4KXbWl2RKU1PSAYENloWOmo0gzoHEnkpmHB6fRLf5UJMr8pKB\nBqeBvqrgt8jnlaUnwET0qXXUVI5dD8nLytx09SV1Zx1d3ACoqatv/PXgveuB716/dPHw6tizr7qG\n5qgpswH0GDjs9OH9BJ/fd/iYxr6tfvvrHwAozsOtfQCQ8h6mTkh6hZyU1gGdVdXUCwvyMlJTHF3c\nx82cb+/s0r5Lz/y8HHNL6+LiomcP7xUW5jdt2cbSxk7kgSLa0yHI7MQqKiqNmgpS8m7atEnN0CL8\n8QNLa9v2XXu5NvQOuXbJ1Nzi9fOn4Y8eALh5+d/C/NymrdoSBN/MwqqBuxdAswtRhIYm6ll62mb6\nViXFxYCBcoNUhVQJ4AvZUdKv5WOtF/qxREZnhv86X5twyQgcXxx7e3v6YaNGjarqWcfIMBMbs3CN\njoV9anJi64DOHTp0kNonP1+uQE+UtCFGYGBg4OPXGPer4LhB5SRwHaYi6bUgNgOFMEi5uLQBoGlv\nNOwsz3zEYXOgbwHTr0gEDDz9T+8GMzU0tQKc9H2tBR+ZxQJACMQOPg9F2Qg7g+hH6DJbzmH7uhsN\n7jNeNSfp6r+nAOTnVgqdvq6jvbaWlraWvasH70OsIBC4q0dDoUUhuvQdJGnp0rBJs3W7/gDA43Gv\n/XtaEKyCV46SfAC4ewg2Xrh3GHxe6J1g6qyk+Nilm34CoKWjo6WjA0BbR7d9N9FemIW1bct2HcLu\n3xZpOLjl0dHRYn87mpqaKcmJL588eolH186fbt2hy5qdezkcTmdv0bf5iGatcv3iWfrpdo7OiXEx\nct69vJzstE+JZy+cP7skOCwszMnJSc4Ta50aRr+otoaB4cvBbKl8cTQ1Na9evdqzZ8/OnTsfPHjQ\n1bXKPeBqKS4u3r9//6ZNmyIjJfThilDtA0tdQ3P4xOkL1mxu6d+xqj5t2rShB21UBt2q7RIsXdFi\nsHilKu1VXoVmNOfZUUlpAwCbLSXZSr2SFBf7IiwUgK6aiqWuKCTaotZWALTjH1mcX4TDsxD1AICc\nthE2emr+Dvo8HpdPheCIf4HMOKrVTl+gGdLUEt3k6xfOJCZKCXchyT9/7Nm1YSU+xyNwBz6GiRqO\nLUSWlBHiP0bLGK20pCTsPhlGXVhVXiKZjqe8vPzavyKNRejtmzcvnQPQY+AwGYNTWYvp0kazZs06\nd+7czK+dvZOL1LOSE+JAEOSEDh8+LGN8Mapd0WV7fzDGFgzfEoyGQxbl5eUcDofNrqlY1qRJk169\nemVmZlaVUkROZs2adeXKFQC7du168OCBm5tbDSdWE7S0tNb9sv9+8DU1dfWDv+xI+5Sk8BCyMp9J\n88pgqwBQU1MvLy/DqP8h5gkenwCPCyMbhS8tuo6KnFsSXxKi8uclCvLEw5AA6OhslJBXMX381BdP\nvBZPFnoC3/odfZZVewEfS10HA42f1qwR2e2mf0RihI6u7qwOnu/O7d0SFKOjqz962uznjyKh607N\nJCQkZPz48dWOH/XmNQAQBD7cJ7e9SBq4e358/1ayv4WNrYzR3r2i4l4QAFBWjMJsFkt0CrkGq6qK\ne2p8zkgHMHfF+gbunvEfoy+f/kdy8KKiIsnKcePGjRgxAkB4Um78xw/JCXEbF88R70QQ5BaP0vnb\n6jivLEN94WOtRyjmUv69wGg4pMPn82fMmGFtbW1ubk6Fy1SauXPnzpo1a+3atc2bN1faaLS4uJiU\nNkioMM+1RURqIfVf2d2ospa2drd+g31atF6/63dlLqloqlW2Cpr1F0Re0jdHyyEwtIa6Fsydlbm6\nYEw2ZfahwamfaBxG765VriAa+vhKdlNXYU9vbgnAxMyiaz/h7kbCy2rHdzDQGNbIBADdSwgA7h+Z\naJTy4d+9l04eff744b2bV6cO7kl36wBB2NjIJczp6utLrZd86lrbOazb9Ye+gaGM0QyNhaov8vxH\nx1CY1bdvX7KOeuNnsVh//lkppV+bjl0bW+r42hv1Gz523qoNizfskGfyrVu3JqUNABwOp4F7w4Bu\nvU+HPBXvl5NCuvAoFHuXQjLsxDegvfivz5+hjmEEDumcP3/+7FnBju+CBQukvhXJSWlpKTUUgMDA\nQOXGobsPAJBzJZBNteKFbLhc7sYlcwYH+E4d0mvcTDmiIemaQJu20nAUjyXg1BwA/EYIpATrhnD0\nhb2P7JNkwVah3HHb68qdfqwW4fOykyv58ugbGFrbOVTV/dctP07o2+nGxXMW1uQbv6wXKU1+iauJ\n5ghvUwsdNUkVVK+BQ3sOHJaaXLmeJiM0bdm6U6dO8nyISfOWkjHmxfbgbB2dmrdpT69p07FLm45d\nZY/m6OI2dgbpskQA6DdszOHLIR06dFi+fPnMmTPv3btH9ezfv39cXNy6devGTJ979+7dAe0rCWrd\n+onvyjWW5tAbGhoqWamhISENX97i28AqPj5ezCqLgYFBTpgtFenQM52ShwEBAcoNpaZWKZuiiYmS\nARVYLNapU6eGDRsGYNy4cf369VNunJpAl04iUgvvB1+7EyRQutBTyVdJmzEozMKDo4JDJVKmkenN\nnFsI/GY7TacScygJiy1K4fZFCTuNlkOl1D8779+p2z1ahaaWtpRuAIC0lOQLJwR3TyBAyNDccstK\nfhu994UgUNX546J4KpY2docv31JR4QCwcXASGEyQECKjEH0DQzm3D0zNLdb+/DsAgiAWTRxOZVa7\nE3Rl9LS5Dg1czxwRqCI69Rogz4BjZ8wfOXnWoguv3hShrLTEytZu7txJd+/eBXDmzJl79+55eHiQ\nPXV0dGbOnCl1EOpekQR07z1zyZp//zmUn5erqaV17u9DZP3AgQMlz9XS0Zk8efKBAwfIw5lL1phb\nWbcO6EyZgDB8bTDqlq8fRuCQTqdOnQ4ePEgdNmjQQEZn2bDZ7IMHD06aNAnAgAEDBg1SPqhlx44d\nMzMzCYJQehdZCWQ4sxTK56giQlMPfEEKD21t7SIlksKTuzD0vRgrD4UHodOwE8IvkEVfL7f3r7MT\ncktln6EMH+4j/KKxW9MsA/Ef0sqJgysMbO7RAo2nJSfm52TrGRpJDsOrnDLXxt4x+ZMotBo+JyAj\nFp5Cr6KLm8CrePMy3K2hN0dVlccVRYxNTU4kpQ0ej1taUilAp8DBBABQnJclNoFqrRBYLNbQCVPp\nqVz/+WN3n6Gjtv5+JCUpoXmb9pY2dlWdK7h+cfHDC3/HxsZCy+BNhh7c/YPOn1Z7e5OUNkgePnxI\nCRxVkRAT/euWH+k1d4KuNG7WcvL8peShk6vHm0e3nZyc5s2bR/Wh+4Bs2bJl0KBBOTk5bdu2jcpV\nIHCZGEwMbwYGEmZLRToRERH0wxq+1vTt2zc1NTU2Nnb//v2Slm6KUpfShlSojRhzS2sFTtPQhbYB\nDK3J3RANLW1lNBw6xui9BLqmCp9YFSb20BHqnCrKB9jwa21kOtGhKC1opFMu2eLg7GKgKSb3ExHP\nwiR7ArCyte/Yoy91mJwQB245Iq4KjrMSEfIHUt4LDotyAMwbO3j5zAmFBfm9h4gyzsxbtYEsXL94\nLvDsCfolApxNkBlPlsOCr/72228QrpFyrpRePs3Fai6fPubb2r/vsDHVShsAft3y49atW0+fPn36\n8H4kR4JbDoK4dKqSHVW10gYA8a0iAMAvm1ZT1nxLpo8/cuTIjz/+aGAgJa4G+WF9fX27dOnCYrHu\nXg8MvX2Ty62d/HkMDN8njMAhhbS0tG3bttFrHjx4UMMxORyOrq5u9f3+I8R8eLd705rdm1dLaVPV\nkO7v2rgHzJxh7QknXwBZmRmiWObyo6oB17ZUGvfaQUtg8Lhp6Zxd61fU5sgk5SWkseGdoMuSjRw2\nq6mljmHWe1EVgYy0FKkjsVisheu2unpWDuXyMhAASgtwdSfKi8EtB6D76TmViORF2MNbgRcsbWx7\nDRrh2rBRp579qH2N2A+VNqQOnr+xavUacy0WAFSUoihr7dq1in5cHV29A+evu3s1pmpaB0hxWq7K\narJStIxXQchKBIju3bsHBgZ27twZwPr169u0aYPq8Ggs3bJn+tBememp1TqjUoelpaWjR4/esHj2\nmnlT1y+cweMpr+pgYPjOYbZUpFBQUCBWo7ThxbeBmAo9KzN92hBpCdJIfHrDqQWu/U+fXZ6XQ4su\nRZmLaglfKJXQcHwJqDgcdHuI9I8Iv6jTb1GhXKnrZPLohGDtL8oV84A11OSY6ahy2KycmEgYi5xR\nW7QNqGqwNy/Co96+rlRFzprgC+JuPb8AI5uCR+fpITr4PP7Rfb8EnjsBIOrNa3VNTUNjk7yc7OR4\nkc+UibmFvbMLADU1dQAIO43ctKrCvsnGwdl1518nd61fefPyv63ad6R2MShkrPd+7Ts9uiuIrO/k\n6hELODZwWzFvoIeHx4kTJ6o6SxJ9A8PDl0N+27bu6YO79PqYD+92rVrQmebwJZtHjx5Ruzmhd4I/\nfPjg6ekp+xQGBgapMBoOKTg7O3fr1o06HD9+vJ+fn4z+3xuRL8KrbNM3h0cArNxVWw6ipA19Q2OA\nlhhWVQOkO4MSNhxfAmeh50J5iUjmKMrB+7ucirJaGD9fmIHs0xv3nBf0lh/a2KirsAE4OIviTXXu\n1c/WsUpHX3VJ7wluGSpKkSx0Z419hhM/IPEVvUvHXv3iY0SxtkJDbh7b/+uVM8dfPhUlkXFwdgXw\nLPR+EU3gHjtWkKtdUcsDdXWNpZt2Br+K27jnoJ2TAiZQ035Y2aNHDwATJ07ce/KSu5f3pGnT5dlD\noUPO1sbeUU9fiv+tnNHMSLS0tOiHjNGoGIxJCoP8MAKHFAiC0BfGFdi+ffuOHXJ588vPlStXhg0b\nNmzYsAsXLtTuyFKp9UBDNlU7bcLWG8Z2ACpURDlNBDYnVGxQNQ0AamrqphaWtTsxJaECf5UXi7xM\n+TwAauo13bvp4260cpIgxoNPy9bNWrWlt2qrCv4AW7QV+Y4282snI0JDwybNug8QeLt06zfY3qkB\n8jPw+1hc3irqVPCZ+iC+bfwDn7zVNzBs4C56L8/NEbcGJUdOTohbNn1s9ud0ACCId+/e9e7du9rP\nWMOQEmIn2tg7Hj16NDMzc9u2bRwOZ4qvZWsHWUE7ZMMqk/LjVyi9QIsWLagoHUPHT/0afGKZNZ7h\nPwqzpSKFq1evnj59miwvWbJk9OjRNbf0pEhLS5swQZBwMiQkpFmzZra2sqIu1iMPgoNePnvs7OrR\ntd8gFZq9hbO757gZC47sk+YHqy58/zOygYYOmdRbW0c3V9UQjs0ETWwOgPvB19DGGA5f9BMoQkwY\nclKo+bPyM7r0GfisvBSoQRxSPu/yLz/6TBx0/UV0bnaWkYnZ9Y85rKgSgiD0NDgTfMw8zQRvz6pq\n8v7AWCzWD+u2jZ42h8PhmJhZCPKGVFTpWZMY+/HR7eB2XXuMnjoHQPTbSAsb20sn/xbrNm3R8sFj\npwRfuQBQW0tETk6O1M1EuiuHEoufQqf4WOroqHEAJY15/fz8goMFaVwsbWxTk5M6dOhw6NAh+Udg\nsVi7d+9evHhxVHaZiZmFctNgYGAAI3BI5c2bN/TDpKSkWszVJBZp9OPHj3UvcLz/XPIoMX9CU3MZ\nfW5e/nfbykVkOTU5aeLcH+it9lL9hI1s0V6YvNu8ATw74PllAAHdex97lgBNYTBKtgpHVZVbUSE9\nfnl9kRwJXgVSPyAyGJZuxL2/bvB5sInC4A1kSHUSHwudwV4mPwa953LkCJMaE4Y3t9YvunXx4Stj\nU3MA3V2MMooqEnLLprewMtUS/fWxaLdCnoCnFlaCsG9d+gy4efm8jJ4ZqSkbl87FUgwZN2XU1Nma\nWlrx0VGSAkdAtz4sFsvZzQMQChwE7OxkOZV8ofds+rAx798+vH3D1t5x5pghYvFs5Byq0ezZlpaW\nL168sHBr4t+lRxMrJQ23X79+/efRYzb2TptWLtbT01NuEAaG7xxG4JCCmCF6Xl5eLQ7esGFD+mHj\nxo2r6lmLiMXSeJtZFBiV3cpW18NUC8CTB3fuXg80s7QaOHqirp5ALLh7QxQRNexeiJjAUSRhVwsA\nBpZ0GULX3LZBy9YDR01YvXAWus8XdWOpqKmpcSsqUN/+vZUgV1k+DylvYe4ssLhMjgSfRwkcxpqq\n/T2NW9roqnNUqveP5JZTdhU/r1+xascesjy2iRQ5j027ExocBTY6ZyxezePxQ65erLbnmSN/ktG3\nVu/Y08yvLZnAnWTqwhWmFpaNLXUaW/renjzrRIpAwxEUFFRVfLna2kChKiU3/iIjI6cNFaSQ/fji\n0a+//ipxXvUXYrPZQ4YMGTJkiFKTFXDz5s1x48aR5bfPQm/dulWT0WoFZleF4b8II3BIITe3Uuos\nd3f3qnoqgZ6e3r179/bt20cQxLRp04yMpMR3UgLyeS3nY6iknMgt5QZG5XiYakW+eLZipkAtEfcx\nau3/9pHlwnyRmBUTJR7NM40eb4pERRUtKz3Wm/cavqTtDw/u3ELfFXBoKmpgs4trECr+iyG03ijM\nxieJfGNFOZ454dMmjm9opQdAU0urqLg695W0aLwQ+MHeuX5l8cYd6upyJavTUVPAllbPwHDZ5p1S\nBQ4TM4vPGWmS9RsWz7kY+urm5fNFhfltO3UHQZiai4xpnj68A4duAEAQkydPrrOAtpI/3atXr1Ll\nU6dO7dq1i8Opn+cVPT3sq1evSkpKxPIMMDAwyEMd/QGfPXs2LCwMQGFhYYsWLSgjhq+TT5VX01p/\nuHh4eOzevbt2x6wKqRajFXw+gKJyHoDwR6Lcng+Cg3g8Lmmu4eHdVIY3SkW5hPuGgSUsK2WvDYnN\ndTLUuJhhCYfK7/RU9t2vScNhbWtvqeH/LPQe4p8j/rmo4d1teHXFicVv8zMOfHxk6+jca9AIewPd\nzzIEDm45clNFEdwBSEttSoe6Ef09jEm1Ex3Z8T3ZbJU/zwX9vG75W1GSVRibmn/OSNPQ0iotLpY8\nRV1d41Ni3Pljh//as5OsWb3j18bjhwEoKymhuwfX4uKq6Eu5hUUlg4n6kjYAGBpWslotLS1lBA4G\nBiWoIy+VwYMH79ixY8eOHV5eXqTP29fMzZs3qfKAAXKlfqhfFPJDeZlSwOUTAFIyMu8EXTG3soGR\nLfxGkKseZRxKD0w5ae5isUES4qLFauA3XPJaB8LTMkvFzf3smncyt3WAiip8qveAqDM+JcY/C73X\nvqtEfJGbv+H4IuRnAHj9/OnVcydnjezXSyWqqnHYBA8HJuPoHHqSl4Vrt7LZsvQWlOilrSb+JynP\nOu3o4rZqR6Udh6zMdABSpY0RI0ZEvX19/thheuWGxbPJQtNW7ZAZB4IPEPr6+rVlLq3EFsDw4cPp\nysXbt2/L6PxFWb1aFOCuW7duYvIHAwODnNTpS0NiYqKmpib54pKRkXHt2jUA3t7erq6u4tPicOrr\nHULMgIPH4339bzPq6oK3bbGpvviUr66uTm9is9kcDodgsQDEREdtPL2iaau26mN/LmOrNdcqmDZr\nNtXfycX18qPXEU8fW9rYuTYUdyNksyqvi2qacG0L+UgsU0MpG7rGVF74eoQDHresFOra5Gv94vXb\n9QwML58+VqlT+kexs9YvmoX5dFNNUTgv/sUtKK60JbdgzeYBI8bKnoaOhsAiUlVFVV1dnfyyyK+V\n+k5bOWm++FRl8hpbB8f9Z69ePHE08mV4QoyEOCjEwsJi6dKl0dFSOpAXsjLUQvgROLdEaWFeXl5K\nSoqbm5tkZ6lQv0Mfaz0A1GzJQ0XR1NR8/14UgPXSpUs9e1Ydbu5L4uDgkJiY+Puxc3oGRjNHDWCz\nv5FoAvX4mP224XA4BEF82/eWkJE2smrqVOA4e/bslClTyHJ5eTm5c+Hg4KAiEQCKxWJJVtYNYpno\n8/Lyaj6T4uLiffv2RUdH9+jRg74pzufza/jwevny5ePHj/UdPN0bNQHwKq2I/nCnz5wss1gsNpud\nl18AgLSFfP74AdtvEYAm/p09GjWhErXwebyyslK/gE5Sk5e279aLCgcJAE0V3OnX0oOUd+96wFxL\n5VN6KswbAOjad6CRiWnLdgHiAock9D+2zDikRaGRMFJcZWkDwM/rV/i172hj7yhjvAYm2moqrHIe\nwVZhqaiokF+Wr53hi0/5kl9iVXg1aebVpNma+dNkCBxpaWnLly+nGyXQycjI2LdvHwBE3kRyJAAr\nKyv5f/9UT/r8q522DJo3b07lbba0tKyvZwKAkpISDU2tLi28atFDvt6px8fstw2bzSYI4tu+t1+7\nwFFUVFRSUkLlE7GxsVmxQpC34vPnz2KdtbW1i+rJrpDNZvfp0+fyZYG53927d8+dO0cPPKoE8+fP\nP3bsGIAjR44cOXKkZ8+eaWlpCxcuvHnzZqdOnbZt2yZ/NKGUlJTExMTGjRtrampevHhx8uTJZP3y\nLT936tUfQGEhG9I2Wch6fX398vLymOhoqNpAVZOUOfgsFQB/HjtjqMLt2ncQgIK83I1L5oTr+8LW\n+0eP8nadxT8+PUIlADTto9ANgaoG1KRkMqtT7h5C+4lq6hq2Dk5JJWjbsevcYZ2Li4sbeHjJcbLw\nj43g4/llpEfDwhWmjvhwH5mxkr0/fnhnZCrLCdnLWNXfQT84JpdbUeGizy4sFHx99DKAYtoWSVWG\nHd36DxGE06iCa9eusdnsDx8+dOraIzlBNNvExESRz/bbEADz5s3jcDj0CcjGRZ9Nzof8sVETpg4V\n4ujRo5S04eXlNXXqVPlnUruEhYWRAdDWAHv27Bk+XMru4X+RenzMfttoa2sTBFEsbUPzW0IJFU7d\n6QbDw8O9vb3r7HI1Yfv27fTDqKgqN+zlhJQ2SEifum3btpGWIrdu3dq0aZOc45w6dapx48Z9+vSx\ns7NLSko6e1aU5uq2MDEYlcq1Kp6F3o9+9wYATB3g1RX6QtO8DlNfPhGIERdOHA2PSoBnR+iarFu+\niM+vtM2UFB8bdP6M4EDPDP1Xi9KRyAlHvZ73UxJetmrmAyA/J4fcRWrm10ZDUwuAiZnFzkNScna4\nNvTW0xdmgSEIZCcBAI+LN8H4nICCLACIfQqeFIdZeiazqmCJ/X8ViMX0lLSN8GnR+siVO32Gja5q\nBNLD08jIaN2u36nKDh06mJqaimUJmTVrVrXTljrDqmarENevX6fK1tbWUnO61g10hVDdRAdmYPgm\nqTuB4+nTp02aNKmzy9UEExOTdu3aUYdiXrKKIua17+joiMpKHclccVUxe/Zsqnzo0CG6gCnT5bIS\nT56Fw8VPECJCzxR9lgkaNPWi30XeDrqcW8oNS8rD4I2CejOnmSP68WjrKI9K0t1iMCb9CafmCofw\nUlWv30Qq0/zsMtI+AcjKTPv47g2AnM+iaN+NfVsFPnk7ZcEyqqZbv8F7T1xcsGazaIjz6wGAJ7Ba\n6OdpgidnkVQ5rRoAYMz0eXoG1ZsZkptZct5H2au4tZ39vOqj8ooAACAASURBVJUbtv5xVKz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XWysXcyNjW/+vS9aM/j4iYkvUJhNgBEBqO0kmNLQZ5cqUHNNdl4fYMMcA5ATZoxDaqQNr5t+4xv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\nAOAcEg4AAADg3P8BofC0Xom5iUcAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "future <- make_future_dataframe(m, periods = 1826)\n", "future$cap <- 8.5\n", "fcst <- predict(m, future)\n", "plot(m, fcst);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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GErqBuGpAM5PTMlWX2NN4rf14xSullcgTdim19ChrcySJSFLHhuaIU8uZrH2Yn7e2D7LF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\n3dIspw8Xl58CrkBOA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LPO54EX3uSSa2/k1X+9zcmTDIFcNCbAPc+8xkVX38A9z73BlFl7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\nRER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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "future = m.make_future_dataframe(periods=1826)\n", "future['cap'] = 8.5\n", "fcst = m.predict(future)\n", "m.plot(fcst);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The logistic function has an implicit minimum of 0, and will saturate at 0 the same way that it saturates at the capacity. It is possible to also specify a different saturating minimum.\n", "\n", "### Saturating Minimum\n", "\n", "The logistic growth model can also handle a saturating minimum, which is specified with a column `floor` in the same way as the `cap` column specifies the maximum:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -157.241\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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YoJiDEEJIJaW2AUdv557ys2IZmFtVL/kDb9y8xSbSxNKpOy8Pd3S4d+sad7ea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Dd91RuSZAGoEUhKeRKehARQypPsi6w7G6VO9j8vlJKkWEpqWN2QrSgpGxx690ySSCmv+6uVVyNK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\nrkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "df$y <- 10 - df$y\n", "df$cap <- 6\n", "df$floor <- 1.5\n", "future$cap <- 6\n", "future$floor <- 1.5\n", "m <- prophet(df, growth = 'logistic')\n", "fcst <- predict(m, future)\n", "plot(m, fcst)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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9sC0aI+ZqaRMRERHpuDp9isU/zz8mtdGle1avFWsmKnxhY3c+/+i/GftWfvNM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\nH/upp3mq9vDked6iJL69Pz62LE4Y913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NBp94eDr+g+Fo0XmPvDU9YlljetfYgwcPxyK8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k8pxa6MdMSr0glCgPjEZDw/dwl2ZmzAiNSxOHfEaMhUS+ZRP/4IMP/mREz/JMve6dcvA3IAOLoV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\nfby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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df['y'] = 10 - df['y']\n", "df['cap'] = 6\n", "df['floor'] = 1.5\n", "future['cap'] = 6\n", "future['floor'] = 1.5\n", "m = Prophet(growth='logistic')\n", "m.fit(df)\n", "fcst = m.predict(future)\n", "m.plot(fcst);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use a logistic growth trend with a saturating minimum, a maximum capacity must also be specified." ] } ], "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": "2.7.14+" } }, "nbformat": 4, "nbformat_minor": 1 }