{ "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": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "df <- read.csv('../examples/example_wp_log_R.csv')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df = pd.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": [ "%%R\n", "df$cap <- 8.5" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df['cap'] = 8.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The important things to note are that `cap` must be specified for every row in the dataframe, and that it does not have to be constant. If the market size is growing, then `cap` can be an increasing sequence.\n", "\n", "We then fit the model as before, except pass in an additional argument to specify logistic growth:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.9808\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, growth = 'logistic')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(growth='logistic')\n", "m.fit(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We make a dataframe for future predictions as before, except we must also specify the capacity in the future. Here we keep capacity constant at the same value as in the history, and forecast 3 years into the future:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "image/png": 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kV/t18Re0OsFegSOvWtokV/vyLa4+dTL1vjwzZhqCJOdnFEuUxK1qg6DT+7qC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\nTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "future <- make_future_dataframe(m, periods = 1826)\n", "future$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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Iz7BsryyPz+Cwco65R6TJXOUMIZkhgFVVXAlp5ftV41EjyZyDanKB/6xrsF//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\nqMixsAAOe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p+tXRUjZAAlhhszQIkX3edj3OnTeac6dhNd16mt2Q777yZ7eBOyb2+/+6Ar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\nu3a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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", "fig = 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 = -109.241\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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HeNzOpIXdVbfBhBBCSIWitT0c3bp0ls8AZWBVtVrujeJu93nh8iU2kZYtHfHn\n8UHuLvxoo4qVdVuPLuv3H+eiDQD/+V7lOlNiExJv3rzJpgsMICiqIIQQosW0NuCYN2+ebnYqAN1m\nXWSuA0v+wJMnT3PpVEacwJ69kqOBW4e+c1c1bNqcn2lrZw/bnNmpIt20tLQCn6xWqFHsuCQ0NHTO\nol/XrFmTkJBQvCcQQgghxaa1AUeTJk0mdGwEIFMk3v/0U8kfmCLlfVZV7OAxln+3mde4BVdDtt77\nyM9s3f9LNOvGpnV09Tp06KD8JfjBROl2eMTExDg7O+9Yv3LOnDkjR46USCSl+HBCCCGkSFobcISG\nhl7Ys6m0nsYwqGJfL0+WqS2XbNplwJYXWVkS2eGn0RvuhKdmSdn8dj1ze1YcXVuLxWLusrB4QpU4\noxizR7nRHADXrl0LCgpSqzohhBBSQlobcCxfvvz188el9TRDHaFbV688WdUbo24bAC3c2oz+bi6b\nJ5Hh2LPYE8/l57OI9HLX31pYWrGJ/GtPVGlAQvynA9s27t60JjI8rBjtr1o1z37tVlZWxXgIIYQQ\nUmxaG3DEx8ej9A5nNdMXpims6NEzgF0zAKOmfK9nkGdHr5ex6RnZUgD802ElEqmKr5W/AyM7K2vJ\n7Gl/r/tj96a1I3q0T4xXe4SoVatWrq7yE+bc3d3Nzc3VfQIhhBBSElobcHTu3BmlF3GY6Yvi07IU\ncw1M23bu8TooaPrZ1/zsGyEJ/qGJAGS8Blw9d3Lfvn38YqqPjIQEvQ64nTsm8vjBXag5yePt27fc\nWbW+vr4PHjxQvS4hhBBSclobcIwdO/bLCVNL62lmYlF8Wr6Jlg06vMg03bhiebZM8WN8/e4DgKiP\nEfzM77//PjMzsxivbmFlzb+0qiqfPqJ6zJGYmKjkkhBCCNE0rQ04YmJi7vheLq2nmemLPqVn58+P\nYwxQo0n+/IO7/vp+1JBf583IzWIYAHeC1d5vNDMj4z/fK+279GAvR02ZXr9xM3Uf0qRJE09PTzZd\nvXp1BwcH5eUJIYSQ0qW1AceGDRtePQ0supxqzPRF8QUFHHAdgH7zCsgX6j4JuJd3kzHGo0cfY1Mz\ndV962Q/frVz4A7vJ2L7zfl9N+pZ/V8VODpFI9N1337HpsLCwOXPmqNsMQiqpuLi4+Ly75hBCyoXW\nBhyxsbEovd0mbp4+lJ6t6qxPAOgwElVq8g9tqWJd9buflqj7uonxn25cucBdji0OCGgAACAASURB\nVOjRoYujg++FM8prFTg7hJvDAeDq1atJSUnqNoaQSufHH39s0KBBvXr1li5dWt5tIeRzp7UBx+DB\ngyEtqE+iWN4G3lazBgNTG9g15a5joyO3//mHuq9rYFjAASu/zJ6a8CmOu1RxS4/g4GD+pbGxMQjR\nagEBAdu2bWPTa9asefv2bfm2h5DPnNYGHG3atIG09PbTzEoXQZ0eDqCOczu0Gpp7zTCnDu4rsGTC\np7h7/n7RkR/z3xLp6Py4fHX+/MiIQnfjKDD+SEtL46+RmT9/fuENJ0RLKEyOpk39CSlfWhtw6Ojo\n1GvQsOhyKpJJ9WTqLTCp26ZL3gymipVN/mIvngQOcnf5YdLI4V3bbFmxNC5acVZp595e/1u1USGz\nVp36/EsuyChsV7H09HR+fkREnuUzhGilli1bduzYkU17eno2aVLA/G5CSJnR2oAjIyPj9ZNSmzTa\na+DQlKgPalW5EKbYIxIbHZmakqKQeXTvDi59aPc2786t3gW94nJ83yXIZKhmV4tfpblrK109PbUa\nY25u3tq9M3f5999/08pYovXEYvGuXbvWrVu3cePGXbt26ejolHeLCPmslWnAERgYuHp1AQMEmhAZ\nGYnsjFJ7WvgHpJXsF7p+O9RtExL8WiGbybOSBQDOHzvEJhZeDvrF533Xjm2mj/bmFwi8dzspQe1Z\n9+09u/Iv79+/r+4TCKl0jIyMhg8fPmTIEH19/aJLE0I0qewCjtTU1AMHDshkpbffuFI1atSwtqxS\nWk+rXrMWUks8AGxoXsNecQOMrn0HKOQEvXjmf/VSfFzsvZA4ANAVp6YoTsswMFKcTFrkvqVmFlao\nWg815PNYU/L1tRBCCCGaU3YBx65duwYPHlxmLycQCBYs+6O0djdv26lzgzol3SyrdtMWxiamCpnh\noSEKOQF3/Bd8P2Gwh2t6RjoAOPWV37BrBqvaAOYuXSVgVP0Px0Uhji4t4eCKFr3ZSxcXl2K8BUII\nIaR4REUXKQ137961sbGpWbMml/PixYu5c+cC8Pb2HjZsmEJ5gUCgq6tbwhe9deUc4AJjyxI+B4C5\nqUnnTu4v/RWDA7WYWdmamJgoZppbFF6DAYCmnXF1M8xroOPXiHztEHL1t59m/PbTjB0nLjVp7qzK\n65qbmwJ4cOtQ1Ro144Wm7t27z507t3HjxsV9H6QA7NCYgYFBeTdECwkEAjpuUBNK5c8syU8gEMhk\nMj01Z9pVLsUbrCijgOP48eP6+vqBgYGhoaEXLlzo3r17zZo1f/31VwCWlpb5N6ESi8VpaWklfNE3\nL58j6T06jS/hcwBkpWcYCNRbFptf3cbN8g9kvH39EvXa4t0DZOVZSIKeM2DARicMRLqo7QqburCp\n+/b9Y+AlgK2rf1u6Ybsqr+v3MiXgjv/CmVPQbgSs9D6lpDs5OdHGX6VLKBQKhcLinZVDlBAKhUZG\nRvR11YRS+TNL8hOLxTKZTGFtoPYxM1N74+wyCjjYbf6ioqL27t3bvXt3AAYGBo0aNWLvxsTEKJSX\nSqXZ2SXdtquWrdXtRDWOVFVCAJmxbkmHn3T19CUSSUKGZK3/h9nt7cQ6gtvXr+7Z8ifGbEETT5z+\nHdm8nyvzarkblfacCUMzXj4AhIWG/LX61w5deqhytMq+vzaAYSA2A4M7N3wTExNL/m/x9PR0XV1d\ngUBrFzoVQ8m/tESBTCaTyWT0wWpCqfyZJflJpVL60hZIm38tYmJiUIxun/QkB0PFzgyhgDHVE5aw\nPff/uwEgPi3rekji7AvBAN6/DYKLFwzNUbsl6rXNW5y3esXBBdZ15GljKzACACFBrw9s2zhlWL+g\nl8+Vv25mRsb9W36o2RyO3QHGxrZ6MaKNzMzM2bNnW1lZjRkz5t27d998842dnZ2Njc2pU6fUfRQh\nhJDPUJkGHNbW1jNmzCi6XCm5cuVKMSaNGkrTWtgpTvsQCiDOTi3h1qXPHz18EnCPbdDH5CwALVq2\ngYMrdPQBoMd0eP2M6jlTK/Itl5Vz7A77FvyMWz5FHIqblJgAAEZV2MfaVKtWjMb/7491O3fuBHDq\n1KkJEyYcPHiQzR8zZoyk9M6sIYQQoq20uYdj+vTpxVik0irjWfsaBhYGefYIEgkEtmYGiAwqWYuY\nT7HRbNcF24ViW6OmgVHOmSYMg9pu6DIFAKzrwKDw4TE7R37/x+MHd2RSZfNLqlhZV7GyZvtFIDbp\nPnRMMZr+PvgNlw4ICODfqrxDlbdv3/b29rayslq4cGGZLdgmhJDPkzYHHD/88APUPAAFwNUDW/32\nrq1pKp9g7FTVCICpnvCO37XiLbI1SXgvTzFMC7c24YkZyJnie3z/rtTUvNNILezQeTJaDla2uMZt\noO6wZajZnL26f+vGlbMnlbdhwz8na9VtAAA2dZPsWxbjXTi3bl9gvpeXl6GhYTEeWBH06dPn2rVr\nADZs2HD69Onybg4hhGgzbQ44ABTnhPrsjIjQ93pC+SczxsVmTvsaxnrCJXOmFS/gaN1CfoKD1/BR\nBiamS6+HAkjJlO4MiLyTZYPqec93YBg07iR0KGK9a2a1JvD6GQL5tJKw94UegymRZJ87+u+hnVud\n27Rjc1IyirPcpksfrz///NPd3Z2fOXny5A0bNhTjaSj8kNsyozA/PyiohN1XhBBClNHmgEMgEHh0\n7V7o7aToAjIl2cjOtLWr2cbOWF8kmNzStpGVQbe65vIxi2LN4TA3lO+prG9gkJkty8iWApDKZPfD\nk4xrNSpgroaOvkRHXPRzRboYsoRNtmzvUVipbWt+X7nwhyN7/j66byebk5at9rtgg4NG7n12797N\nz58+fXrlXccvFot79uzJXXp6epZjYwghROtpc8ABoH0n3gEi7x8hk/eP2n0z8URxuqVxWvTAEV/3\nHDD02Z6lDRICG5vLZ3IwAkE/7y8hKc4yJwNdgVhHAEAmy9ND8jriU2h6yZYlm1WzqVZj8dq/Gjk6\nFVbk0K6tOUn5f2uJ0skKyjseDAwM7t27N+irsQNGjL5161Zl345p3bp1s2fPHjly5IkTJxwdHcu7\nOYQQos20POAQce8vNQHXtyMzNedahvQkPDyD6GB++d+Hd+g37KuJQ3pdPHk0cMtPi77qIc3p1fDs\n3R/ZWcVoQ3py0nBHKwD+oYkfk3LPk8sW6Ycnl2yhtoFZZOP+L58+UlKkLRdy5fSkKIk3ihzmCIxI\njsgWN2rWwrVNhySxlTptVe+FyoaZmdmcOXNWrlzZtm3boksTQggpgTLa+Ku8CLltqRIjERUMSU7E\n8OAUpBJEBeHwAtRyhuck6BkAOLFnq05yFFc9Jurjy8ePGjV3AmBbww6SB8Vow/3rl72HDgMQmpDx\nKja1yPJqYBhYOcRG31HIvnPD59S/exmBYMio8WO+nZWZkXHP/3q9Rk3Zk2rv/3fjP5uY1q1bAwiM\nSG5uW8A5cPkzWanJyf/7fmLAHX8AHbv2/HnFhhbVjAssSQghhPBpeQ+HjjDn3/VsqJHySX752l+e\nSEvEcx8EyHevOv/Pdl29PMdYT/tq4I+TRz+8c+vuTV/F3cdVExb0PPiVfG+uoE8ZygurzaqWbquB\n/IyDl/3nXQu/FZbif+3S9NHeVaxsft286/Kjt67tPNgCoe/e9u3b98WLF0qeWtjZs/f/82OjDQDX\nL52L+PC+gvRVEEIIqeC0POAQi7iAIxsArmySX2bmPUHAfz/Sk3BzL1IT+w8faVujJv/m3Zu+s8Z9\ncenUMTw6j8QoqCklLnr/1vVs+tizWHWrF0GkGykwjfggX3l7aNfWv3bvh10zdJrArptl989ISU66\ndp5bOssA8PPzU/EV+CGFnn6e2awje3s8CbhHMQchhJAiaXnAYaovn/UpZhdTRIfIl7amK5wFJcOO\nKbh9EJDt3bxuz1nfbUfOj/l2Nr+EjW01hD/HjT3IVrOXIrm0g4y8br+O+GrcpJULf5DJZFv2/AvP\niQBgbIlBi9CwY0xUxKpFP/bv1uljnTyTOerVq8deceFC/rghfz+Ha9sOzZzd+Dnb1/1R2m+IEEKI\nFtLygKOGiW7fBlUApCUnAABkguwMXFiHJMXj4pDGFsDFk0cC7/5Xq16D9p7duJseHh4bVv5mam6B\nF75IUieAePcAES+hdCfQkjK2RG23c0f/fRb4ACLeBqmMAA09fpk39+yRf2BqAxG3fpUBYN7AtRg9\nEwKBcNjYyfycR/cVZ5AQQggh+Wl5wAHAykjEAHgn341bemalm1URx7C9f/sGQFDOxAs7h9qrV68W\ni8VNmjsDwP0Tarw8O3Yj1fCxgfqGALNn05o8R74BqO0K2/oAeNEGwDCtO3bilypsxkaBXNp0aOaS\nu1fpoC/HoMKsOiGEEFJhafkqleP7d22/HIhWQ/HoHJszoX/nlu3dBdKs29evFlarhVsbmVS6dM63\n7GXo22BfX99Nmza9fPkSAB6dh+cEbpfPIrCrakt26lvRHHvi7YN7Dx5gzBbFW+wRKnkCEaaNRxd1\nX8H3wplfZk8FMHzclFXb/7l29uSzxwGNmzt36t6n2K0mhBDy+dDmgCMkJGT9rwvh1IddojJx5rzm\nrq3rN2kGYPjYyUoCDjuHOhkZeRakPHr0SB5tAIAML66jcSeFWt5NLQ8+yTdSUzYBBwBTa0QZQGyq\nmM8GHPz9TBm1j1tLT0tlow0AB7ZtdG3TwbN3f8/e/YusqGSFLSGEkM+KNg+phIeHA0BmOtITAdRt\n1ISNNgC8fa1sUWhGRrqenn7XvgO4HBcXlzwlbu5RqFLDUNC1jrlIkG+fchkbcGh4SAWA22CYVi0g\nv5F7nvEUAGCePLin1rPjP8XxL7nBJr784zI0zkIIIYSjzQFH8+bNASD4Lm79A6BBk+bcrWbOhZ6Y\nWq9RU11dPQCzFv8+77e1k2fP33veb/DgwdWrV88tlByHT2H8Wh/8jsc+v/OTux0jyzs/lJ0uWowz\n5NRlaA7r2gXkN3SHiXXeHg7G7/K5n6aODX6lLOris7GtzsVqAP7zvaJ6u9hARCH4kEol0jLo9SGE\nEFJhaHPAYWBg8OjRo5GjR3/VyenApVsGvFPUa9Wtv3T99gJrvX7+5MzhAwCEQpFnz36DvhpbtVoN\ngUBw8uTJ3CNLZFJcWp9bRypB9NsfJo3qYG/a6PXxPI8rsx4OcNM1FNVv2nzhasW5HbevX9225jcV\nHxwe+t7UvAp3+eC/m9lZxdnlnbV27dpuLep2a1F37dq1xX4IIYSQykWbAw4Atra2Iyd/P2rKdCsb\nxeGGVh07tXYv+IDQgNs3FXIkEsn333///FFAblYabyePsGd4egVA2Pt30fcuIeB07q2sTABqb91R\nPIKC/2u+evZEpMObrFO3Dao1AnDnhk/0x4hH926npqQoeeqTgHuj+njcveHD5VStXkMoKnj2T5HD\nKEFBQUuWyA+5XbJkCR0KTwghnwktDziUm/G/X72+GJU/36FeQwAfwz88unc7LTUVwJYtWxS35owL\n5Va+cGfCbV6xNPpjGGLf5xbLTgeArDIJOArp4ajjMeA3P94AkK4YZrYAmjq7De/WdsaYYf3aNA0P\nDQGQlZm548+V86Z8/deqZewbB3D+2EGFB34M+3Dt3EkUS2RkpJJLQggh2kqbV6kUycLSauoPCyPD\nQm/55q5YcXR0/OWH6Wv+3rdy4Q9sTseuPXVl+UYQZDKEPoFjTwBIkc+pTPgUCwDpvH/lZ7IBR3EO\nYVEbk2/KKgAgqKYnMvNOmNDRB/DkwV0u48Q/eybPnr9/24Z9W9cDuHPDJysr65u5/wMQ/uE9hDoY\ntQG7p3FdNSFBb9RtHbtixcnJCQAMzQG0aNJQfkmIZhw9evTQoUPGxsYzZsxo2LBheTeHkM/aZx1w\nsEZ9M+Pl0ydxMfJDUszNzRmG4aINANcvnWvatGkBNaOCkZaIlE/i2/vTgIkz5z25fxcAwp8j9j2q\n1ARyYpH0JEiyINQp4CGlqJAejgLo6Lu1c7970zc3RyYDwB8zenz/LoB3b15Fhn9Ay8EwqwrjKvgU\nzt5t5uxa2LOVj6qIxeIjvvd/OX47ldH7uX8LsVispDAhJREQEDBx4kQ2fezYscjISEEhw46EkDJA\n//dD3YZN9l+4wV36+vru2aO46vXJkyfjxo0DUK9R05btPeS5n8JwYgmCbqclJQB4eOdWNrvyIjkW\nIQ8BIDoYr272HvzFMb+AHrUMoWmqBxwCwd2bvr0GDuUy+g79MiTo9T3/3GGjNy+enjv277iB3SPD\nw+DcDwCa9+JeKSkpsdjNNDW3sLV3MDK3MjE1K/ZDCClSQEAA/5LG7wgpXxRwAIDCFMjIyEhHR0d+\njpOT0/Lly6Ojo4eNnXyHN30S4S9wcy+bvO13zczcQp4vyQKA1ERkZ0Z/DDc2Ma1pUwWaVsiQSmHO\nHv13x8nLyzbuOH4zsIa9A7s2h+/q2VPcowGgeS/5S3hOuJtqUuxmblm57NzRgw/u+M//dnxGhtqz\nW2h7D6IihQE7Gxub8moJIQQUcLAYhunJ++d+nz59FP42GRgYsIngV8+UPGfc93M9e/UHAEk2IN9g\n1MCwjLbaNLe0UrVoTmhiYWndsr2HkbEJ8kVdABzq1c8pDwAQiiDUgZmtuH6rVNOayZnF2UgjLi7u\n0K6tYBiAuX396sWLF4vxEEJU4eTktHnz5q5du3p5efn5+dF4CiHli+ZwyH03f0kzZzdZQmTv3r2b\nNGnSuXPnS5cucXf19fXZRFxMdGFPmLX4d/MqlvN+XTNwxOipv20GgOxMAJ49+wFI/KTZQ+oBePTo\nf+yNiv/6ZwB49OjzKTZm9eJ5aampbu3c+w8fecjnHj48ZqOlvkO/nDTzJ4YRHLnoC4H8ezJ63fG0\n9LR/P+jcCE1u9ubToMaW6jYyOztb3gBTGxhbSspgSzTyGRs0aNCgQYPKuxWEEOCzCjjYQz24DnmF\nS5FI1K3fIO7gj7FjxwoEgjlz5rCXQ4YMYRNicaFTMa6cPt6pZ189Pf1ngQ/w7Bpqt0R6EoAebVuk\nfXr/z/bNcB+jkTeWQ08sBlQNOKpWr5GSnDxr7o8xWQK8vnX7+lXbGnaWXy7JzMpe5CRs2rgxwzCR\n4WFiAwPLLxbFMPLN0fe8yZQkJ8KoCoD38RkSmUyozjhOYERyarK0ik21WENzWNc2cO7erVs3td9n\n3gfSWS2EEFIpfEYBB58qv1Jff/11375979+/37BhQ3t7ezaz58ChR/ftKLB8wB3/oBfP7t+6sWvj\nagDw38d2DAiFwuPHjwOyUmt9IaQylV+CwcewDx/TGIzegLhQvL4F4OnT5xLzqonZzK00i2YMk5SY\nMKJHewAYWR+Wxmw9CQRstAHgzKu4Tg6mLdT8vf/P72qskR0adgSQmimNi4vjhqtUx48zKOYghJBK\n4XMZ1CzsN0n5b5WlpWX37t25aAOAQ70Gru06FlY++mOEPNoAEBWMj696eA2pWbOmhYWF/FAVdTBJ\n0XhyqehyOWRQvbOBAQAdPQDQkS9M3R9p/CktG8DBJzGDdt5deTJnu9XC+zDCkzJVbx5LV0cXhjlT\na3X0Z82ape4TWPzzWWgaKSGEVHyfS8ChRHNbI7X+iWxbvSaXdnRtNfbb2Wx6xsJfuTPcWf2GfjVr\n8e8ARo4cWbtOHXUbJktPwgtfdlxGFVKp6j0cTAFp3dwtMRKgfyPeEFXrQShSstp29a2wM6/i4lLV\nOFeltXtn62o1uJe+cuVKaGhogSULDCMotiCEkEqKAg451WMOr+EjTXOWv3r26jd83JTLj95efvS2\nh9dgfrGq1WqM+mY6mzYwMPAa9pXabQo8j/ePuL22ivTgjr96z2dDDV0xarLn6ObtyTCyQJvh6DUb\nFjXyV2XJZFjtHzZ8951l82Y85u1bqoRIR6dBM+7YXgaAiUmhK2xVDy8oECGEkAqu+AFHdHSh6zUq\nMiWBhSoxR3Nbo+c3LyZ8ku9lvmbxT9wtgUDYvnN37nLOkhWmZubcpVCg3iYZAPDCF5AvdQGAWwcQ\npeyos7dvXhfxwPDn8gQbasgDDgO49IfYFHr5Nv10cEW9NkU2U6JvclXfefpo76AXytYMc9LTc/be\nYBgAyjcb5UcSyqMKijkIIaQiK37A4erqOnDgwJMnT2aV4KTyMqBKGCGVSo8dO7Z8+fKbNxXPic0v\nObnQHzaGN1Tx5OE9/quLihFwsJt5fHwFmRQA3tzCvWPKyhe502jIQ0S8AABdQ4BBt2/l+XpG8BgL\nCzu1W8gxs4VI9/5/N4ouCZiYcRuMMgB0dXXzlyle9MCf2EEIIaRCKX7AERwcPHHixIMHD9avX3/G\njBmBgYGl2CyNyh+C/PrrrxMmTFi1apWXl9f58+eVVx82bBiXHjVlOv+W3+Xcuu/y9jeI+NMmYkPl\nwQQr4HQBXReSLPl2pX678CkMF9Yh+h1SPilrWZErVKUSBJ4HAOe+Bk3d5ae9ADCzhW3JzrUysUaX\nKTXsHVQpW69xzsE0DE6dkm9mSrECIYRot+IHHEKhsHv37hs2bJg9e/a2bds8PDxcXFz8/dWcRlAm\niuzkWL16NZc+ceKE8sJNmjR58ODBrEW/rdrx71eTvuXf6us9gku7tGnPvyUS8qKBkADuRHsAuLkH\nj87nCUEApCbkpi+sQ9B/APDhKR4XvjVnkQGHLHeljF1j59x8A1OYVS2iblGs67do49FFlZJMTk+M\n1xejW7duXWR5NhYpYThC0QwhhJSv4u/DsX///n///TcgIKBPnz6nT59u3759YGDgkCFD3rxR++Dy\nctejRw+uY8PW1rbI8nZ2dj0GeOfPnzTrJwtL63dBr1zadOjWL8/+hu9fPgZMAEAmQ1RQ7twIqQSZ\n6Xh0AWDgNhCmOT/8vttzK0e8lCdkUsQVvKYDUGFIRSrhtgOR6ZbyMa1RIov9j6NHOFpzOffDk9ff\nDu9Q03SMS5594tVYTVOIxw/uhr1/16Jlm6rVCp3QSgghpEIpfsBx9erVqVOnenp6CoVCNsfJyWnZ\nsmWl1LAy9eOPP6alpfn6+vbo0WPatGmqVGlua8T/R3POvqVQ6PPg3L1yHg29ASDmHZ5dQ4MOMLYC\ngJAAeRDw6DweXcCIlbCpCwAfXxX8wh+eIjmW232Lz8SsShFHuEqzkbM5mEBY+nu+fUjIcxJbTGpW\naELG/sdRsWlZE9xsTfXk3xNuvxCZrDjbdu3bun7Hnyv5OVPmLhg44mvusrBnsv+9CrtFu4cRQohG\nFX9IZdu2bV27duWiDZa3dwH/7q/4GjdufPjw4bCwsD179pibmxddoXCpKSkF5osz4pDwEZCf6Iaz\nOT+Z/vt5pWQ49JM8/ihs+43IN7i2FYlR+e+IdHWKaFx2Jjdw8+Lp4yIKq+9a8KcbIfKYJyo568Rz\n+fExF958Ovw0Jv8+qIV1dCgf/lCINgBs/G1xxIf3SqqovtSFEEKIhtA+HLkKXC6huri4uOXTx/Vr\n07SLo8PzRwEKdwcPH4E3t4GcgEOSs7QnKz1Pucw0q9eXcHYlMtMKfaXX/tg+Ec+uKvxkx8UWdT5c\nVgZkOYelqXmWvSqyZcyzj/FsOiw541Vs7ls48CgqICIZQHKmxC9EPj0l+NWLxPg802BVmavh2rZD\n/szoyI8Kz1G/+eWvkjabEEJUQQFHKWB74zdu3HjlyhU2Z++WPxXKOLVs6zVsBACxrggAJFnyyCNN\n3iUgEAg69+q/Yf+JXnY68h04AAAinYL6LaQSnF+TZ2IpVIghstKRczprl34DVXhnajvr//BTcjqA\nlCTF3864tGwAwXHpz6PlE2afPLy3eNY3d95Gq/VD6zV8dP7M8NCQ18+f8HPox5sA+PTp09q1a5cv\nX/7u3bvybgshnzsKOIpPYdSfvxPabb9r+csbGRgAkKYnA4BMhrtHcfhnLuCQSqXeX09s0NTxypnj\n/FrZSrY5Cbqd57LISaNpST295HFGZoZGdk9JNndYumnnxZNHF67epHCL7Y1JyeKdKcMIH9659fzR\nQxUfnpqSkpSYYGBktOes767T1/ZfvOnZs18VKxsAKxbMmTy075G924t8CHixCAUl2k0ikYwfP37J\nkiWrVq1yc3OrpHsVEqI1KOAoNQMH5vYZjJgwNX8BHYEAQEZsTuf/zT14n2fzEiubqgA+hLxV9SWv\nbc1zqXweaNyHlg3sszPkIzjXLxex3UixPXz6/PcVK9BysEL+X9df/DT9mxtXLuRmNeuGmo5mVQqY\nAKsgNTl5/rSx/do0HdC+xYyvh37Vyz30bXDo2+Cr507GRkdyxTb9/kspvQmVVOR45Z9//vH29h46\ndGiR+8poseDgYF/f3M7CGzdU2piOEKIhn+nx9EXy9fX19/dv2rRpnz59GNWmO7i7u1+8eNHHx6dB\ngwbVWhQwz0AkhK4sK/P2wQKrd+zWy8TMHEDjFs7PHj5QuFuvUdNFa7d80a1dntzsTMSGokrODqEC\npf81P77+ZsasPzbvRH1nQCNzOOQ8xha4iOYTY3j76Wu8i0X/3P3gO/YbVqtO/SIfefyfXf/5XuXn\n/D5/ppVtNYViFpZW+esqDwsiIyMPHDgQlSqxm/S1hYWFkpKVyJs3b7jFVlevXn358qXWvDW1WFnl\n+T7UqEGLqAkpT9TDUYAjR44MHjx41apVY8aM4e8Jlp/CSbNOTk7Tp0/v1atX/hilua3RXZ9LWQnR\nSCq4X7fXwKFsYvSUGfnvTvtpsXXVamt2HbKvUzfPjZO8dchcD0dEAUtqW3f0qF7TQVeQ81+8yPGX\n4mPgOqDgOyJdhde1rqnSIbrx/PmwtvUBJCbE5z+6RSgSyaS5QzZFTkFNTUlp2rTp0q3/bN2yady4\ncRkZGUoKVyIKe+F8ttMXzMzMNmzYwKZnzpzp5uZWvu0h5DNHAUcBVq7MXXh59OjRYjyBjUL4sciZ\nM2centwpe6e4eoXzLFB+684NH4VbNtWqN3Z0AtDUyXXqDwvz3EuOzT3dJ4Dx8gAAIABJREFUTc8Q\nAF764cBsPL2i8BALCwuZVBr+LmcPMQ0GHIVjBApH0r4LCVGlXqeefeUpsSmG/wF94wKLRX+MmPbV\noEyV4wb5YqLW3qjb1s/P79GjRypW5PADmofhhaxkLnPOzs78y4YNS7ZvfWXm7e0dHR0dFRX1ww8/\nlHdbCPncUcBRgPT03KWq8fHxJX/g0qVLR48ejY+vcXVLYWV2b1pz+tD+N8+fHt69TeFWZHjYmxdP\n2bRTq3YjJvC2JstKx5nf5emq9QEgIRKQ4eI63D3Cf4iQEYQEv/n4LufQFs0NqShhWQt5Iw5Lm4K3\nVP8Y/mHxzCldHB3WLpmflZnZyNGpjXtnADC1AZj8E0Q4Lx4/3PuX4hKh/NjOjyrW1gDACCA2AlC1\nakn3d68gszqsra2vXLkyfPjwUaNG3bp1y8DAoLxbVM5UHBUlhGgUBRwFcHJy4tKenp4lfNrjx4/X\nrFmjSsk1v/w0aWifAm9xG3v4+1z2vXDaxra6sWnOmasKi2PjIwBAJsPNvfzltUIB9PT1kRovXy9S\nLj0cncYpjLaYmBU8Y3T1onnXL50DcOrgviVzpgEY+/0cABi4EACa95SXcx8Dz4kQm/Lr7t+6ISFe\n6Sl3Oexr13NxcQEYiHS9vb3t7Ip/Xm7JuzdKN1hxdHRct27dihUr6tatW3RpQgjRPAo4CrBkyZI+\nffoA8Pb2XrJkSfEewo2nxMTElLxJDZo0B5Celrrg2/EfQt5GRoQlJeR0vUQF4dVNeTokAE8uydNS\nSe4hLEBGWqptjZp169bDMx+gnHo4wMC2Af/64K6/fv52vEKhwLu37t/y4y5vXr14y/dKrTr1T99+\nyujqA4COHgAIdWBWDS16w8FF4Qk3+WthCnf7+rX79++DYQDm4MGDxZvDoZXn3GrfOyKElDsKOApg\na2u7Y8eOV69effHFF2lphe/4qRpVpqq18+zGv1y141/+5YQZ8+o3aQYg9G1wAZUl2Xh3X55Oz/s7\nkRzHJQ319T/FxtjYVmN3WG+t2smumsfc8rnMX9oK4K9VvyoUevHoYUpy0i+zpuacw8KgoTtaD0Od\nlgCgb6hQXihSaflVVHSUfIwGDICEhIQiq3CU/yTTDzYhhCiggKNgT548qV+/vpeXV9OmTc+ePVuS\nRxkZGdWpo2wtxqCvxv6wbDV3nP2wsZMFgjz/Xeo1aswmHOo1UKzM+hQuT/AiDAAIvoPgu2zS2EB3\n96a1N69dYs9v+++6j1rvQqN8zp8BkJmRcePy+f98r0ZGhCkUiImJ+m3+zDzbqXX8GtXlHws8xsEi\nz2hIomozb2S1W6HrVDAAw3Tr1s3a2rrAYmpFD1rZ4UEIISVH+3AU4NmzZ6NHj+Yu9+zZ06tXr5I8\nsGPHjkFBQQXemjR7/uCvxgJYumHH80cBJqZm9nXqZaTn6VZp2Ew+pyT49YuCXyDsGa5ugaEFbu3P\nky/J5lbhGoiEcTFRAOQHxlaQaXQMA2DTH7/0Hjxs/rRxD+/ckudb2kNsgtDHYgPDtNSUC8cOAkAj\nj9ypJ0YWMOL2lmBgZoO4UO6p8ndalGx944aOzkmxUVXr1Ng6rbuSkkpOmiWEEKIK6uFQlJqa6u7u\nHqLack0V/fzzzwp7EHE2/yGfIyISiZo5u9nXqQdAT1988OqdefPm/fjjj0+ePBHnrDJIytvnv/HA\nyQ5dc6ZPPjyDm3vk57Pw5RwPW81EJ2fgpiIFHDmLVvq4t34YyttsY8gSDFkKU5u0VN7pu62HFtrs\n9qOgo5971bl7dlZW0Itnn2KVTaCRSKGrp29rZ1+vSTNuKYdC/0RYWNidGz7xcbltU7EPo3j9HNQ7\nQgjRVtTDoSh/V8SIESNK+Mzk5GQl5zhkZKTr6ekrZFpYWk2fPp1Nf8z5EWrq5OLUsm3AHX8Arm07\n1G7QKDM9HUrVdnAIBtyqG7esbpJsws7bKL9VKvlx8YN9C7gOwL6cTc8YIQB8sQI+fyP6LWJCcjML\nZGmPCTsR+Qanlnt4dKph7/Dj5NHsBzVr8e89vIYUWEkGmQwyMIwsz7G7CIxIZjszLly48OWXX7KZ\na3YdAlyL+z4Vnw/qLyGEfGYqxq9ORVKrVi3+5YkTJ9gVKyXx7Jninph8Tx7cU+UhzW2NWjpYLVyz\nefqCZbMW/bZw9WaRSMSf1mBgaFTD3kGhVh0Tob5IoC8SMAza1K0KVKwhFSNjUwAwtUG3adDN2S7C\n3gkiXQAQm6LnDPSZA0t7QGELj3z0DFDTEX1/8LlwevLQvmy0AWDFgjmF1ZDJcv4HWYFdC7t37+bS\nx/bvVP19sQp8piaOjqN+EUJIxUcBhyJjY+Njx45169atc+fOf//9d9u2bUv+zEaNGvEv/zp8rrlb\na+7y0K6/8lfh//OXv4G6oZFx78HDewzw1hcbSKUSA6PcYqkpyezBb8am8n0pWnbo9P2Ifq7VjcU6\nAgBCobBNmzbyYZeK0cNhVsXSvVsvGFWBjn5uDNRhpDzgYFnYoZU3GnkUtsFoHlVqwsoh6mM4P0+m\n0IPBv8Uw0kJv5tkwKujFM243lPDQkKtnT4S+K2jRECGEkIJUiF+diqZ9+/b79u37559/+vXrVyoP\nrFat2sGDB9t6dGnbqeuqHf8OcHd1dWzC3b3n76d67zq/5Ml/96UmF/BPW9c2HdnEHb9roe+CrQ10\nLMU6bI6joyOk2YCaAYckW3HBbSn5EPJ20qyfnFq1AwATa7QZXnDbGnRAz+nyvduVMzRHK29+Rrd+\ngxiGyZTIMiRShbIymQwyQAZZIZ0nnQZ8wW/qtC8HBr14dvem78jeHst++P7rfp3Z3ck4Uqlk+7oV\nXRwdujg6rFr0o0SSrdD3oPySEEK0GAUcZaRTp06L121dvPYvR5eWAIYMyZ1VMGvWLBRrRP/N8ycF\n5ge9es6ld65fPcGt6kgn+YLPefPm6bB7VKg1pJIcA5+tyC79s83smrcZ3r29fPhDIETVegAKGTtR\nucGW9jCvzl1dPHlkxz9HZl0IXnztfUxqFr+gjIFUJpMxBXSBsDNDXdt23Hc+z5nmt29cO3PkH97D\nDwOQSaVvX7+M/hixdfVv+7fJTws7e+SfS6eOqdrmUkVxDN/Hjx+fP38ukeSbT00IKVsUcJQ1NrBw\ncXHZcfLK1B8WHjp0aO7cudwttcKOJi1yd9h0bi0/ub5Dl57ZWZlc/psXT0UCRiSQ/1obGhpmpacC\nagYcGal4dg2fItSoUqSoYAChxvVgVTs3mBDqoHpjGJgqq1gkixpw7MHPuHT/xbOo1NsfkiYcefos\nKpXLl8kglcpkMllIfEZalmL/B8umWnX+pZ6evjQ796dLKBRlZKTP/3b8GK+ugzxcD+3amuctRoRB\n5Z//1CxpQkZxfhSVzxQptgoStZRwz/itW7c2a9asY8eOw4cPT0qqKKfrEfJ5olUq5cauVm27WrWL\n0bHR3NaI/THoMcA7JTnp4d1btjVqjpz0nbGpWUZ6mp6++LuRg8ND37OFY6I+8usaGBhAov4cjqQY\nAJDI4xiRgGljZ+IXosa+nIqyM/HcB9a1AUDfCLKcH3szW3SdCkPz4j+ZZdcUJtZIlO/GEfUxHE0A\nIFEinH4+eEu/erXM9G5evbjjn6uo7WZuavpJbPMkKqV1TZMCH7by7wMzxw4HUM3OftMfeba6H/r1\nRL9L529fv1pgxdYdO7MJbtmLEvsCo868ilvYqWbxVq+U4sqXChJqlJxEIpk3bx6bvnbt2qFDh8aM\nGVO+TSLkc0Y9HGVH4cegsN8GVX4z2L4QhmEGjxy35M+/v5n7P/YsNz19MYA+Q3JnHgwZleekkpCQ\nEMjUDzgurQeAWPnOWsu71mpVQ4X5m0rcOYzMnJ4GsQn6yX8VYGINixolejLLug7qtZGnbevDcwJ3\nRyKVhSaky6TS/30/kd3U/FNcDID0bGn+DTYkkux9f60/uPOvHl5DnFq1DQ/NsztLm05dGzd3zszM\nM9LU1NkNQPWa9r9v3ctuSM9SvntHYERyUmZ2cqbkXXyJxq24V5HJZJv2H9u0adPz58+LrJXfx7DQ\nxw/uphe16LqCUxhGKd5ZOYSQ0kI9HIWKjY319/e3s7Nr0aJFGb+0iv9O5bo6FHTtO1CkoxPw383a\n9Rvxgw8AUqkU2ZmAmkMqaQkAcGGtQTMPCaNja6yrZGWHSiRZkOb0ahiaqTQbVE21W3dd9ts8n/Mn\nNx+9qBBdxadkpKfrQN8YtV3Zk9sARMXGw15xKOfo3h071q8s7CVuXbuUmZHR3rPbqoU/sDm9Bw+f\nvmBZdna2UCh88fjh04f3Gzv+n73zDmjqevv4N2FvQQVEAVFUXLhF3OCoo9aqraNarauO2mGto0Or\nVjucba21WvderXugOEEQRAEFRfbem4Ts3PePm9zcJDchCUH49c3nj/aOc889SeSe5z7neb5PLxZb\nJ9uODFytFRsn1ODvnT+fPSzLfrp+/bouBX0oLp0+uuvH7wEsB168eOHu7m6UIb15LC0tlyxZsmfP\nHnJ30qRJ2tubMGGiQTEZHMxkZGT079+f3P7666+//PJL7e21ExERcerUKWdn5+HvzUH9nN5PnjxJ\nS0sbOnSoh4eHlmZBYyYEjZmgftzX19fZwbYCANscACry4OQOtlxQKy8RYiG8eyldIxFBHlPp19xq\nbn9vd3tLNzuLcR2dryfrVAWeAUIqS5aBVjmvepBu5XX05sPr2zajXX+VU79HFw32cXHrHVTk3hFF\nqaTtFXLl3ym9l6u0fBkfq/0ullZWllZWlyMTnj0Od2nRokuPPiWFBX9t3fTgtqz+zuCRY9Zt+4PN\nrvszkt+x5gRe/aCsDQD7jp/Ry+AgrQ2SEydOrFixwjhjagw2btw4fvz4oqKiYcOGOTnVLzbIhAkT\n9cNkcDBz6tQpavunn36qj8GRlJQ0ceJEcjs67kXw5QsApFLpyZMno6KievXqNXv2bHPdqpv++uuv\nmzdvJrfv37/ftWtXHzvp9ch4T5/29g7M8QcUpNeExWJVFOQAgJk5AGQ/h58zrOSKW/9ugJuvtUdH\nvgXN5SDgAvDp0GnRim/7DpQJiiTExTw4F4IeE3UZNgNSiUKFvcEkyJ48i4OlDbqNUDlOAGl5xUWl\n5bK7s1gA0lNeE1KpijeiY5duYaE3wIiVnc+XhyQEYcZi2drZDRs9zszMrLqqcsvar2KjIqhW4aE3\nE2KfkqlJjNB8VKTFYZxvo+/AITERYeR2LZcrEoksLCwM6EcqZY6lfTMIBIKczPRIS4tOzoYMniQg\nIKD+IykrK4uNje3UqZOnp2fdrU2YMMGEKYaDmfpXpaeIiFBMP08jwzMyMgDs27dv+fLlp0+fXr16\n9Y4dO3TsirI2AJw8efLp06ft27f/dNbkdwf1SIjVSa4UQHdvd9SUwMYBAARccORVQggCYgFyEz7w\ntfAQFioMgux4ADMXLus7cAh5QCIRL58zlZscDb6hYf9SicLD0au+Qq6aKOkwGu4d4Ruofqq6ulpm\n6MiXVHw6+qmvfbi0dGvj3a5VG69+g4b2CRzs6k7zKlnZZQis3/r2r5H+Pn/v/JkgiLs3Lr8d0JVu\nbZAk6vbTyDwc0Obi0D2cc/q8JdT2rUvnR48efefOHS0CaHQWrfiG2v7ggw+0tGxQXrx40aZNmzlv\nBw3u6JGYmNhYwwAQFxfn5+c3Y8aM3r17X758uRFHYsLE/zQmg4OZ58+fU9tUTRPD6NixI333n3/+\nARAWFkYdiY2tw2/PiK2t7R9//EHtUgmZdebW9uvXFxnP0MoPAGpKEPKr7ISA69up8+Y/DnwQ1Mc7\n4Swen5Edf3CwW+9+w0Yr6uVmpiQDQM4LxF41YOQAQEhBBfQ5MJe1MwJ2zpiwhvFM6utE3y5kRCfL\nzMwcQNBbSiJv5SXFv21au3XtV7lZ6QW52bb2Dr/sPbZk5XeKFpY2ANC2N4Azh/au2XVs/a0UNGMI\nd6ipqtRlsKQtUKdJQIaF1llArmf/wJU/bKF2ExISpk+f7uPjs2zZsvLycqqr3w6dfnvKtOkfLUxJ\nSSEPRkdHJ8Y97T1g0MfL12RkZLRu3Zqhd63D06u9FuiG+M6dO43VrQHs37+f2qb7Pk2YMKEXJoOD\ngczMTLpbwt6+XlEXgwcPpu8WFRUB8PLyoo60aNFCx66o0h5Dhgz5+OOP6S+shLLrW4vN0TdwCCAF\ngNIsvLhF6mEAwLNL7Tt1CRgaDKBbr76I+VcWXsqv2XnoDP3t385BnqISdRbHlyNPW6UYZsQihYej\nQdEQjnr2RYmDgxOAlu4e7f26AHBopljgv3nx3NQRAVfOHqeOPAi5Nn1U4Ja1Xym6eH8zIA+FAaKL\nhOg8HB5dGO515O+ykqI6R0r+mnqFcGgyO2KjI9YsnrN1rWoRGS6Xe+bMGSpTNCkhftOqT6Me3r1z\n7eKqVasIgqioqBg/fnz4nZBnjx/t2/kzl8tV6/vNIRIpVNqM6HE0AFbTKDxkwsT/OiaDg4E1a5Re\ni3v37l3PDj/+WJGWScqlr1q1avLkyQAmTJiwdu1aHfsZO3Zsenr6o0ePzp4927Jlyzlz5lCnxr+v\nq+u7W6++3Xr0BgBhrSyWgixh/zo8cDhZThYTp384eFgQDi7CzV+37T2q8sB1b+05Y/4SAJBKUJyG\ns9+QcR56IOJDIqq7WcPRcVBsfBwAe0enqqoqAKFXL5GaJXnZmYz13kqLCnm18lReFgs2jgBgZoHA\nGfDuKcvm9RsKcyv1a1OT6rbJ5KYGcxk53bl/8+rKBTNjIh5qakD62P69/+TbTxSiFOHh4SUlJcnJ\nyfSW9CU8w6jTE6OFqVMVEvW3bt3Kycmp52AMZskSxfoU/Y/OhAkTetEkgkZtbGxUjpibm6sffDNU\nVVXduXOH2h05cuSoUaPq2efWrVv79euXmpo6atSoAQMGALCxsTl69Ci9GKmO2NjYuLrKdMrHjRv3\n8uXL+Ph4f3//cnNnqgG5MaCdDYDYvGr6cTab3b9t87Y+PgnptVSUhiVLKgS+Wb95xJjR5BErK6uf\n/jzE59VaWdswvt5Z29gqdggpEu+gtz51Z8QCCBvznRUAghcD4HG5Rfm5cPNNjH+2K+fxz3uOZKa+\n1uFi+XfCYqHzcLRoK1tMadsbLX2aCUoqy8vorTt362FlxWCIUDzIqAhNqwTANjO3srKifsTYvOpe\nrR2pbe2dkITduam9waRJk2pqaha9P07luJeXl8KZN2weXoedOnXqxx9/bNlSjzUvKysR/S/XykoE\npj9wXZg2bdr+/fsjIyPJ3f3792/ZskX7JQ1Enz598vLyXrx40aFDBzc3t0YZQ0PQiI/Z/zbm5uYE\nQfy3v1sdA8JUaBIGh7q+EJvNbizRIUtLS/qutbW1UUZCaQAY93O5urqS9lChXGhSpX+hUEi/r6Wl\npVAodLCzA2pJH8OAYSM4qVcSJM1/3Pmr1c49g0e8RV2b/DIx8kGoe2vPURMmq+TRvIx/pjSOyFP6\nGRyCWogaW1SKxQJQKgCcZIEXj+7eTn398up5HRbp6UZYs1Zo1kqx6+xR+TKJ2vPw9J44/UMnl+bU\nD8FIToXMdyKWiIVCIfljkb4B6gfV3gOA0KsXQq9eyM7QVsO2ZcuWq1atCg8PVz8lEAjs7OxWrly5\ndcev8OiCinwUppSWljo46CryRg44KqMU8kU9csz0I3pBWRsAOBxOIwqRJSUlnTx50t3dfeHChc7O\n9VbCbRo04mP2v42ZmZlUKv3Pf7cGBBs0CYOD0VYyzIAyOmKxuImMRDuyCAC1oVJH6KfMzVgA+vTu\n89HkC8mJzyndhe+/WBT6PIPcTox7+vns98jtl/HPvvz+J3q3Zip5vAIuchPQppsuQ2Wx0MySqCgp\nBwg9SrI1DGKWGaztyWEFDAn646f1TyOVJ2O2GfpNQdRZ+rEfj1z+JlaDQtdbn6M0C9xycCsA5Odk\n7dm6qaSocPFX32oZhkAsC8EhpCAIgv5rMv6C6mSmJv/0dd3RzSUlJRs3bpy84HP1U2T/EU/jETgD\nrToiOczBwcHb21v3f//0luo1UPT9O6qoqPD19U1NTSV3Z8+e3Vh/iS9evBgxQpZcHRISEhoa2ijD\naAj+Jx5u/3NoehqbMMVwMECvSn/zZh0O6v9FyFpurVo069y9Z02VUkkUiUQWy3nz4jnq4HVafVQS\nD09v1U7v7VM9AgzwdFA3KIjntyoyXkJYi0TmEiSNgntrr6iwe08jw2FuqVTMZc4fGDQLfsMABI+b\n+PGXX58OjdyboVkWgsXCrJ2Y9Su6jqSOnT+6X6TVP0E9mqLzaip4eofThofeXDD5LfqRFm7u7Tr4\nMTa+ceNGG2+fZWvW0w/+dvQ8ufHo7i04kFHMrJqaGiO+pekbzHHq1CnK2gDg7+9vrJHoy/btCrXZ\n+Pj4kpKSxhqJCRP/0zQJD0dTQ8VlWl5e7uLiYsT+L168eOLECRaL9f7779Pr1NcTRpc1o/y5g6WZ\nm73FlC4tAAwdNfbwbln+4fj3ZpA5ogAyU5OhGQadsYoCVBVSyxMA/FrYLB/Y+tr9qKOFjkprEJTC\nB9dQodIGoDBfHpPYcTC6jsA5uUPCoSUA9pjPfUbN6DO831sdXABwBHWN3M4ZPcch6QEVG8s202bc\nU/IbKWW8zCqlOb7OeVooEKz/conKwdKiQi0mTnZ6amLc06Gjxnbt2bdj1+7devWlInW69+7/Qt7M\n29u7EdehVZaQpFKpmVmDiNLWicp6YlNYUtGlHKAJE00Nk4eDAZUHSlZWlqaWBlBQULBw4cL79+/f\nu3dv6dKl2dnZRulWr6dP39b2c3u5ezpZAfBq53v02v0lK79bu233F98pSqG6tVIIMHTx76XSQ/OW\naqFzYgHuH6AfSLp+bFpAR+uilzj6qazeLIlUYmtn/OIp9UZuErHZsFaNWpCyzdMsPLZF5B+PLwZQ\ny9XhZd3NF0M+Ijenz1tMWXIVPHE1X9WHQfe98kR6iHumvX61Yv50xlNVFeXqBwcMDd55+OyiqePv\n3bzy8PaNPVt/WP7R1B9Xf045gV3dPUjr0NrG9siRI5rua1juiaarGJNZ6FkqX331VWNZG1BW4hk7\ndqyOusAmTJhQwfSXw4C1tTV9V3edDF1QMV/S0tLomhxvBg8HKw8HRb6Dh6f3lA/nq7SZMHXm/RCZ\nrtfYydNUzjoxunzoVgUAAQfAvh0/jZ8y/VrcVWr2hVRSSwo8NKk1TvIV39YJfSfB0g6u7VCcjgHT\nYKZYPSEI4lZqZQlXJNDxD6dlW5hbQiycs1Q2Y3GEkj3RBWkV/EX93Pt5OFB+H/o3wRfrYXAc/mP7\nq+dxdTbr0qPXO9Nmj3z7XYlEnJakWj/23s0rsxZ9ymJ1iI16dOf6RYxfCYAv4Our+qULWl7NKZuD\nbODh4XHxUfzzmChvn/bjAg1ZT4kv4HjbiDds2HD8+PF58+aNn/OJjwPLw8NDX9ula9eujx8/PvLP\nVffWnks+MFWAM2HCQEwGBwMDBw6k77ZpY4yC6XK6du1K330DpWgNc7326Dfg6LX7CbEx7Tt2JqWx\nKKRSScil8wzXFKfh8RkMmAYAVUVIjSIPRz96gGYdFM0IKtyyKRkcAVOR9BDNveDiCQC93xkoSEwN\n/KCYrxSFkl8jyK8RUHpfdeDZvf301WsmDcpIfZ2enNS1Z58nPMe7GZUAvrmdGdyu2ReBrW0t2FBW\nNJfUZW/UVFc9CLlmbm4+fMzbkQ/uaG/c1rfj9zv2eLZtV1JY8M3SudHh93v1Y9B6P7b398++2Vih\nlM3LqqysbNasmaaeVewD3dF9OcDewXHwiLfs7e1lUnV63gXApk2bjh8/DuDgwYMHDx4E4O7u/s8/\n/6jo/2qnsrIyLCzMzsGx78AhJhEwEyYMxmRwMBAYGLhixYoTJ04IhcIJEybw+XwjrmQ7ODhERETs\n27ePIIgFCxY0hfVgTXh4ejMEhwKxUZGP7oQwX1Mjj6crTEZFHrkpEYuR/Ah+Q2WFW6VSAHOWfH63\n2rHRtJzUsXaAfXNFrIm1Q8TN2837LQYMLxsGoHnvoCP7d4XfuEDuvv3zWUDmP7ubXjnG17m3hz2A\nilLFTC+RaKtQz6ut3fDlkrjoSACH/9xpZ+/A5QvgNxSFKShlWPuzsrKurqwAcHj3jujw+wBin0Sq\nN7t/86qVlfXHZBUVFguAk0vzKw+ffOLlxWazoWwlqCx/GFHOnKSsrKygoIC0Ca69LgvqZOljZ+CT\nKi8vT+VIYWHhokWL7t27p2MPXC537ty5ZCLx/ZtXr/xzxrSkYsKEYZhiOBjg8/nbt28vLCwsLy8/\ncuTIlClTjKvx3KFDh61bt27bts3PjzmPoIkjFAo0nstNRFUhAGuWYtYsLy2BVIJaeTqMWADg1pV/\nczLSGnScukIZSVa2YFF/ESwAkjq9DXURncsJz5HPx2YWMcmZ9LM51bJvMjZaYQRcPHVEi0BnQuyT\nOHnj0qJCLqcGjq4Y/ZlS1Rj/MVQYyuvE55/Pfi8t6SVpdpC4tqJVoZMTcum8UzPns3eiPDzbAqiq\nKN+4YumGDRv0+LTK1HK5z59Gk/qtKtA/nconfRByzc/PLygoaNq0aekpSWdiMkNiUwweA6Mng6om\nowuPHz+mZEtiIh4mJSVpb2/ChAlNmAwOBtLTlaSTnjx58uDBg8YaTFNApSBc74CBvQcMYm5akYeE\nUJRk8J9ctlSRxZQn3JIaowW5OYp0lcYlR56WQV8oce+ASd9zWXUre9ZNy7Yyx4lP38JmSibmrsf5\nZABpQZ7C15Oa9FKLMLmDk9oaB9m5jTxvKHgRhi+Ap5ImypNHDwKDFIK5789esHX/iW+3/D4oWCmZ\nFoBLS5mOLVp3hYX1n3/+WdfHYyYvO+udwG5fzp02fWTgnWsX1Rtosqh+WLmM3AgPD/94ytjc7Mxd\nW386ffo0gJycnMTERKlUVyvw6rmTjOMfNmyYjj0AUFlU0rLG9MZPphCoAAAgAElEQVQwukupPjSp\nwZho4pgMDgbUozj/2yK1OkLZHFbWNj/s2r9+x57+g5ke3PE3cG0rilKFAmVHCFVvRSivSNJEDA6+\n7Inp3aGTYknF1gk+ffTJF9FMrwkySTQ2w59bOV9czhPbd6d/k6yMFI3y6g6OTqoCG2aWAGBuCc/u\nAODiCXNLyxEL6YXrWnl6j5s8bcqH89u27xg09p0xk6b16j8waMyE1sr/1I/v3VVTVVlbywUAnz5o\n4R0UFAT9J5ULJw7PeXs4tXv7yr96Xa4Ki3XhwoXt27f37t17+PDhM2fOrFMdJL6Ak52e+usPDGJr\nixcv3rZtm+6fqE+fPlQtpLnLVhg3osuEif9XmAwOBuzt7c+cOWNhIVu8b968uUrFV32RSqXXr18/\ndOhQQUGBMQbY+FhZWQ8eOebdmXMZzvFrUJ7LcDztMTjl4FaQ1WVburUyxOCQSlCRZ+T0FrkcyMfL\nv164eY8xe6awcQIwZtJU9TMEgYTiWo4NrV4JC116MNcLFAoEc94OSk+hefXZZnhvIwCYWyFwBtr1\nM2vRBoDQtgWcZTkmU2bNGzpq7N0bl/85diAzLfnejcu7f5EtlPQfHETv//DuHQs/XV5pIxdTsbCm\nZ4TqSH5OFtU/SUxEmO6XL1n5nWJnwHS4tQeLJZFIfv75Z/JYaGjolStXdBgGc8L5e0tXvyqTKXxw\nuVx1OUj19azNmzdffBR/5XHizI+X6fw5TJgwoYrJ4GAmKSmJqo5dVlaWmJhYn96WL18+Z86cVatW\n+fv716foJUEQDx8+PH/+vF6L0EaHWmHJy8zQ47KCZJRmIisWFfkASooKDKlQX1WEQ0tQma/3hZrI\nTQRX9mVmFJT8HcMQcGAEghbCzfd2rav6mVMH91RWqaiAs3z9GMrcA8jJVKuTYmahUA1x8cTg2RJb\necayTx8Aoc8zlqxay2KxYqMiqItuXpAptffsH/jpN0rGQamFC2ydyO3B4yYFBipSWnT0CoTfuaVy\nZNGXX//8zfJvl80/tf/POvWep3w4/969ewcOHPj92D9o7kkG0wSOnkhvU2dZGQCd/VXzv7r37vfX\n2asACKm0lsv98MMP27Zt6+rqylhZBkBubu6qVavmzZt3584dewdHG1tbxmZ1Up+SuSZM/JcwGRzM\nFBYqTTyU8WEAAoHg5MmT1K4uL2eaWL169ZQpU5YsWdKpU6c35iyhR2+oZDP6de+hX19iAbV+AcjS\nVfTuAYCYNt8wpWboQVoUFVySnmkcETYG7JwR/LHEgkHu7C46XlEuF+fexsvKmnkJz721Vn++rRNa\n0LKKAmfAp09yGU8kIQB4t/Olztg7Ol47f5IMI42LfqzUiZXiJ2aIF9FMXnZmeOjN3MyMfTt+pB//\ndsvvd25cDr16Merh3QO/bw29qojn0DQTd+vWLSgoKDMtxbdLDwBLVq0dOWESvS78+PHj6Z2obJA4\nObvsvxDi6q4Ij62qrMjLyhzp7zOqZ/u5E0dQVQt+++039THEF3A+//zzQ4cOXblyZfr06cs/mrpx\nxVItS116YbI/GgLTt9r0MRkczNBVDj09Pfv27WtwV9TSDImTk5Nh/fD5/EOHDlG7ly9fNnhIRqFH\nK/vO/r2+/mlnwJCgoDET5n32Vd3XPA9BCi0n0wAPBxkIkv9KpuHx6Dhi6hcfQEioYRSZN69XV9pp\npSEjqblXRmYm/UBlRZkmVXI7e4cf/zzUb9Cw3gMGtXRrBSjXrVVn0vefXE3dGp4L4N0Zc9w8ZIss\nnOrqnRu/nTy0d35OlkikMefoxsV/VHxpmkyEh7dvzHk7aP2XSz56J5h+fODwUZtXfZb6SuEgjLx/\nu04nB4/HmzNnzo71a1JfJwIIuXh+346f1q1bd/ny5SNHjmRlZVGRm0Kh8OCubT379GvZsuVf2zbH\n5VXT+2nj5VNcqHCGZaenUhGpZcVF1PH79++rj6GyvOzhQ0Xo7otnTx7evrFwyphz586pN9YL07xo\n4v8tJoODmW7dup05c2bUqFHTp0+/fPlyfdR+2Gz27t27ye3x48e/9957hvWjkv3fEHGs5FqJdlEm\nlbMjxr+7effBdp06H/x9W903yHyGPNrilFh/v1FhMgDc+QvkNJkWhYynyFeVztQDqZTycCRWaW/a\nUFj69qfv8nm8hNgn6s0IAukV/P6Dh3+75fdnjx+VFBUAdRkcAEEgMrc6JLXC3MLCu10HpXMenQ9c\nuDFoxFjqgGsrD5UOb9y4octHuHWZSQgOKCpQjeZ5ePsGpaSuiTMhD8PCyLAPFoD0SuHZowe+/fbb\nwMDAcePG2dKWNj777LOTf+/Oy84EcP7o/ns3Fe5DgiA2rliqy+C7dOlSWVlJbpPWgFgsfnDrmmq7\nid/BzXfp0qX1cVL+xzAZTyb0wqRgo5Hg4ODg4OC62+nA1KlTO3ToUFZWFhwczGZKVdAFc3PzX375\nZfXq1QBGjRpllKpvpPVg8FMjLfLW30dOmJmZxUZH1N1aHRFPv/aEFA8PW1paCYUCcMqQ/RyVBRAL\nkZsIj86GDACAVEqm6TYiQi+VUjWskiKGUJIynmjJ5ZSlndiFj2hZppM31tk/TyR9msd5y9c5cPgI\nUvtLRpegB46Dqm3sl+25QGTGdevdt0Pnbj9fjw8tpgbCttOt6g2b0i8xs4B9c1KLBUBNNYMRd+/m\nlZmLlrVtr1HrU7GUQ1o/3Ubi2aXTp0/v2rWL3kwoFP7zzz/0I7lZGfEFnFfPYz+dNVmXYZO8fPly\n/fr1s2bNqq2tfZlX/vD2jdysjFfPY1XbObmhuReKUu/fvz9hwgTd+ydR0Vc1VV8z8f8Qk8HxJli1\nahW5GvLWW28dPHjQ0tLSsH7mzZv37rvvlpeXt2vXzmDDBRpKyKrEakil0qi0Ylt7jc/EtLS0RYsW\nGTwGANDszGdGIgYlO3ZqFfgc2cJKVT0iPQmJIk23qcDy6dBJ/eiCf5MkBHY95yLfGgM/QEIoqovh\n3EqXHu9mVPb0sJ8wdZZzixbrv1gCAD3Hw/8tALEFnFiY/fXONF8XGwAurq4oltXE6dC1u2fvYbrY\no1M+nB9xPxQ2TnhnDSxtcOwL8nixeXOwi9TTkahSdoz4+nUdNnr8g1vXFBX1LG3fffddcpOaqtX/\njvoOHArgyJ87tXRu7+DIqalWOXjixIkTJ05ouQoAWGzSAOrc2UDr1uQP+H9CbF51Tw/VApAmYFpS\neQPk5uZSsRchISH11BBzcXHx9fWtj7VBoeUF6+HDh25ubu8M7L720wUcDvNTsv6Si94tNYezFKUi\nTs2nLZKpL7RwdQe/RlGKJeE2kjQqZdWBVILqkiZVRm5g8KgOnbsBuJte+dNDRU4Th1z5sbRB99EY\nMB0DPwDbTDEl18XT/JonjyNl1gYAKzv6tfczZK6IvGxFEK6dvaO5RR3K7mmvXyW/fOHfN+Ds3Wg4\ntEDrrmQOMAA4umLcVzINEqCZiyxEZsT4dz3bttPSp4DPk61oUOs7ljYrVqxQb/nD73+TG629vH/a\nc6RVGy+RUKiehds3cAhpiwCgrA0HRz2iqYLHvWNrbwew3v1gDj18tU60GBlkQEx9GhiAyegx0YiY\nDI4GR2W5WnuljEZB3fKYMmUKuRH54M6BAwfUrgCAXr2UFgL8uutXhW7z5s0bv1+niCFNj5ZloJCE\nH8X9/UiPVirwJs9wUVXLJgg8vYi4awqRct2RiMGvwQvVTM5GJN2xC0coAVAjlGRVCsgcEwaLqEsw\nPj4MK11zNR9kVB25pYjYdWullPBy+kXJ0cOHtn2/OiVJEWQT90SWwHLv5pWFU8aM9PdZPHU8GSch\nFokqykq3fb960fvjlk5/Z+OKT8zMZA4AWNujSxAAjP0Sds54dy2s7QFUlpe19moL4M61i/t2/MSp\nqT6657cd69fERIRdOHF4waTREwf6fzHn/aL8vOICKtJTbnCwzdLSVIXww8LC1n62EEDvAYO2HTh9\n9dyJ94P6je3bqWd/RSrv8u9/BBATGRYT8XDz7oP0yxmXezRx9/plGzuHz9duWrZmvUVdRliDoikr\nx4SJpo9pSaXB8fT0nD59OqnNHBwcTEo3/g9RWlrKeNzDw+PatWv79u2ztrb+5JNPQh7HbV71mfau\nho8ZP/69mWZmZsP8fb28vNZt+Y1yWqCmDCUZilSO7HgQBK5tg6MrAqej42AAiGaOTASAotQPJ40X\nEy9OCQNhqU84rVgAoLlzs7I6W74pCjnCCp7Y3tKMIJBazjscW7Swr3t6BZO2pq1+GU9VDm3ANoNU\nghbeVa1VtcWOHvwblQUYNh/yTFKySnBBbjb1y6Ymvdy86jM+r3b792vo14aF3uBS6xTmVmbdR0te\n3gPbDADMLeHgShqLZHQngLOH96WnJMU8egjg+r9nqH4SYmO+mj/j0JW7sn2FC4b14sWL8ePH7ztz\n+cq5Ey0cbJctW0aFdDx7/Gjnhq+p8JS46MiZC5eJRMKBQaPoquqXTh0dNnrcg1vXtXxFLBaLOaDV\nu2cZh//b5nVdv1/eo5XhOWuMvLF4DhUbJTavmsfjmUJJTLwxTAbHm2DXrl2zZ8/m8XiBgYGN+3qk\nCZWHzqJFi/bu3UtuT5o0SdNV/fv3799flmGxfDWDjHSHzt1SXiVQu7MWfUaGCnq1sgewZ+smjJEt\n9kPIw40dmLcPAER82Ru9iI+ybNzaBd9AsNl4pbHC59LV6ybPnEtIpadmf4KROuUmyBDxAfQKGBia\n34Q8T7UiKV8sfZJXA6CYKwLww/36yY0AAAqcO6NVJ+S9hGs7vpWj6mky8JOWpcLh1Kz7/GPHZqoF\njVWsDZJn0RF4bxO5LbFzwfiVaOkjO9d9FO7uVWlPWhsMg8zLEfB5vx//97NZkxUWBwvbt2+Pi4u7\nc+cOeeDq1av0q14nvqDv3rl+8fiNMAA3aNYMgOXf/+TYzPnKWY3hGhrTZ7qOgLUDhi84euTIpGHa\nDA5qUtdrIle3OVTq2xnRLDDFq/7/oan91iaD4w3Rr1+/xh6CHmzcuDEgICAzM3PkyJE6hsg9jWSQ\nr3Zp6Qp5ymqvgIFt23fMyUyvSI0X+vl16tQJAAi59pewVlHdja+svCnk4ciyjnM3JEslAPoOHJry\nKqGqQqYP0av/wK37ZfMHi83u60LEgNA9sgFCfp/AwVlpybBpr+slDY9ALE0oro3KrQEgkUoBCKXG\niTJZueNAa35uurnH70/VfDqe3WBpg64jqQNFBQVFL27r2rWVvayYC4BmrdCMFs3acxziroFbDiFf\n8Ytrxs7egcflwrM7WlGZLCwAlLVB4uTsQv0zqKpQ+jiFebkiodDC0vLtqTNDLskcY0NHjbV3cJw4\nY7YWg4MRSysrIVmYxsKax9L4zKznGofuc8OOR7mTurTwcbauz70gT61vanOSif8wphgOEwyw2ewJ\nEyZ8+umnugfk//rrr+oHR09QZCeOGP/u86fRc98Z8eWXX44bN07WXmZkECjJhEQuy/HwsGpHFXkL\nO1uHPs+4FZf6819HevYbQJ1p6a6UprH4sy/b5DHl6KZEopZpzZ5bnpuVkfLyBcOpxoMAhBLZxFwl\nkPBEUsJIBsf2qOIWHfwTKpjcOUPnwq297kEhqrC0PExY+Gg3Fh/HyCWa28j4Yu1mAG282qJNN4Vq\nO5PcCGVtkLh7KEWlVFWWEVJp5+49T92K+G7Lrv0XQshaNt7tOrw1UaGFM/79D6hoVpLZSz7366aQ\n0PVq59vG24cyYQNGvF3nR2ho4gprsyv1zPBqephiUP4fYjI4TDBTXFwcGRlJCSLVycyZM49cvbfx\nt78Hj5BVPF+wYMH+HZvJ7TWbd4x59/2QiwqVxsjISEBeMDYnAenR4FXLJDFyE6DGuSP7AbDZZgA+\nWraiV/+BAPoEDp699At6s7a+HX9YxlRS7tllHFqMrDilgy/vobq4KD9Px8/Y4GQ/J/9PEAQVLBtf\nyF0TmskxTuFaSMH6ITT1bjrTz2ppC3PlRFNtNoQadTiVWDAzR7dR6KVQsDh48XbfgUMAoFVH+A6A\npe0HC5e2dHMf6e8zc+wQerVbXVxWhfm57Toq5Fynjxo0qn/3b5fOvXb+pEDAb+Mty4thsVgrf9i6\n9+y1P09dvh2fXlVRXlmu8I60dHNPehG34IvVF8Jidxw6s/PQmez01PTkJMri8enclfHu6tOnAQkm\nOrYnQEhhzLwqXdJhtGfTGGUM9e/ERBPHtKTy/xTtTtTQ0NAZM2ZQ2z166FQzZVxAt3ivtgODRhbm\n59rY2q2a+z5V8OX0wT0jJ0yiq3o4OjoOGTIkjPRqSCUAXN1aFf+zFtO3gKcqkwCArljl2bbd1v0n\neLW1jPW02jhaTe3W4mwCLdb16UWZwum/3yN4MXrItTVr5fOuAVVdGgKObOb7auFMt7Yd0Xc2uZtY\nxDXiTV5Xao5WcVGu1aJJxtTKDoNm4cEBxSoYoNMyFosN7554EUJWw2nh1qpT1x4xEWHoMQ5dglGW\nffJZKA5Q0R6KDgeOGC1pLo2KitLe/aDgt+YsXX7l7PGYiDC0H4DeE6LOfhMVfh9AbPzzNetkImmc\nmmpXj9ZkWmx46E16DyVFhSVFhdHhD1as/3ns5Gnhd0JU70Gb6BtuMUL77EsQKOfpXRZAlxld0ydq\n+tZA0x+hCZg8HCYYOXhQkUD4119/6Xu5u0cbp2bO9DzG2poqAFM/WkR6JgB89tlne/fu9evaHZAZ\nHMWF+ShIxuFPIJWolw1ro6bcoKl6J4uFXioPTapiHEEouU8oQSoDqro0BFTODliN43fxH6u02yUI\nZkwxzrbN0HM8PtgBR1fFqsdQJseSOu36UWEiOzasOfH3H3DvANf2ANDcC8PmwU2uv04zYEa9PYlu\nbfh06LTwy6/V+z7212/ff7EoIfYpHF0RtBD2irWSUJdgMgj30B/b3x3UY9Lgnn/+srG8pFjTv6Lt\n69fUcrmK8oRyZ09jKbbQnRAEiD3RBVpsjvrMvg3tyWDsymQu/D/BZHCYqAOpPm//9NcjulAHWf+i\npZv7z3uPxMTE5ObmDho0qGXLlu3b+wJQUuCoyANQU1XZo28AvdRnK+2FUpXxd7Mb6EnLwqBHob4O\nQ/Ij2TZBGRxNI0WFXkrX8Oo9xqOVn3uHrgC8fGgRtSw2Jq0DgJZtseBvLD7aY8kvy9f9yPYbomu3\nHQfB2mHHoTP3b14FgPb9lYrcvrdRlk9L+wr+2qZUgXZQ8OiEZwzlZkj4vFrYN4dDCzi6YuAHANB9\nNKztvwnNSk7PPLHvD7LZvycObV+/hlerUWf252+WTx8ZOHjEmKAxE5q7uZMHVWJpjD5T6rIQQw6h\nWqDNSv6fmML/JwZpwoiYDA4TDMyaNYvaXrhwoQE99Ghl7+/vT+1myguimpmZe3t7W1lZkbterdwA\nQMDw0G/t7fPuBwpJx87+vdTbaMLKnO3vLo8AKErF63Cl01R1e8qWaiIGh0C+dGJpi8APGnUoMn7c\nd/qPExcClmzque6MbIXFzJyWgcIC2+yVXWeu3ygzc53XZz27f3cmzL8PVbJO2baysCb1RVp7K3xa\nRQVK/p7je3dF3g+ldnvK3WYKyKGyzdCqEwD0GAdzK4Igdv+uFNqsEnZKp3lLt4h7twGE37np6dPe\ny8eXcbCNAull4ekT1tMQPo/4As7L4tpaYb2WI+kGVmPZHya7541hMjhMMDBu3LjY2NiTJ0++evWq\nb18DZY7atFH4JIKCghjXhvt7OvZxtx3Rp/Mnq79v36kL/VS/QUODx77j171Hc1e3Hv0GTJu7WK+7\n+7W0tWITAFCUpppnS6XDUCsphhkchBTGi91jsdCnuzwnqO+7Si/9jcfpY4eWzZx07uzZOI7NsO8O\nDxs9zr21l0oboRT7Ygr0imq9+Kq0ViRdu213h85dYaEm1MZiA2jdti39EPm/Lv69fP1Uwza92qmn\nNMva27T0/O5MeKv2smDSRCdFNFKvgEHdejMnq0/64KOyEkX9+oyU19TvrL3O7RvgRHxJea0IgLQx\nRqIyN//4MOe5UQOMqJUjw4wAk+nQxDEFjZpgpk2bNnSLQXeoynALFy6Mi4u7du0aAMZCGAA8nax+\nGdMeaA8gaOyEI3/ujH/y2KWl6/j3ZgwZOfbH1Z8nvYgHUFZcdOHk4enz9LA5urnaju/U4t9XZeCp\nZWRUyxXQhfKYCQMMDrEQIb9hyBw4uup9LRMBbRwEWaUgRbYMLn5rbG5dvQCAnL9LBNLft+3mi6Vv\nH0/UflWdJBTXnrp889SGT9BhIHqrVV5174CaUgsLK8URefiqe+s2d28oVYc/dv1Bfk725dPHqCM9\n+we+bt6PLAHMs22xKYrmxvDpA/vm4JT17Ddww697LS0tW7i6pbxKbN+p874dP1GtYqMj3Fq1ptwq\nvQICH8odG+qT/Bue5F6W1EoIQIdoEoMHpnswrEhC7IzIO/qexsK/RscwXTV9+69P5/EFHFLgxIQ6\nJoPDhOHweLzIyMgWLVrQV08g/3O1s7M7fPgwn8+3ttZJoaiZS/PPv9tEP3L3xmVqOy3ppb7DG+bj\nlBYZGh/9j+qJmH/RIRCu7RR1Yg0wOCoL8DoMAVMVR0qz6uOW6Nfa4aWBVYQbFBb1HwJmANbfM4Lm\nKYD7rwsAwIapqGbwYqREZqS+hrPM6eXdvoO7q3mHLt18/bqqGBwtXN3dW3uOfHtS6NULAAKGBEU9\ni8MihpBS2ceZ9xcEtYXcLCtbWzMW673ZC8gT1jY2v29eR25npiaTG81bus1YsKRVa8+qnHLAErRp\nvrFepgVygRZNOUTGSlLVZdIlQJTzxBX6p8wYcQz1v8sbu5cJ05KKCQOpqKjw8vKaNm3aiBEj1q1b\np6kZ3drQ90963JTpimtpYl86IsyMjz/4PS31Q45EBGEtxEKUZALoFTBQKWpVR8h1mWeXZLsl6Qg/\noncnNMxYrHmzP3QueVV30zeIf58AWDug/QAAlZxasZRIKeMZpecCj/6wc4YZk5Fl64SW7crsFdZb\nTa/31v9+4KNPvuwTOESl0qxAwOfzeKEyTwyiwuQ1XDRhbgU750LXnufoidNAhy7dAcClDfzHwk6m\n5l5WUvQ8JurrHfsyaiiTVO+FjNgCzp7oAn2v0gS1pvNmVlTqSNAFAHD1DONomgsfTSGaxLg0wU9h\nMjhMGMiVK4oXzT179tRqjvano5fNsfir76bPXxI4bMQnq78fP2U6ebnuPcRFRWo8JxIg7iqK03r2\n7Onv14HBKKkTMsAzIVT24L+xE+kxiL+hdz9y2GyWm0frgYPU4h8bFTNzM7TpCg8/AAXWHruvhBlT\ncWrC1whiDElmwbObwEIh/FXOE2/8dmVleZmNre2mXfup46MmTLKwtU97/VL1ch2IzK2hZ5ZWlpc5\nN2+BwBkYuQQf7cGYL2Bm0cyl+cPbN9C6M1URkCD0jhot4gif5NdQnokfH+bEFxoe90AoNhS/hNGr\n2GvpUylBl1AdiY6dGDwkxm0S44bX1CeUpD43VRnAm7z7G8C0pGLCQMzMlN4j2WzjG6+2dnYLPl+l\nfpwKE9GOd3tfjede3SOVzg8ePPjWW2/BwUdjS01QomGcUljYgFMO0NJM9MeMzKtgN4EsCAAFyWQd\nE4dmLnQpjvsVtjy28UTSPPyYj7NYLsNmqCSQRD56dOD3rSvW/9za2+f8/ZiI+6HNnF08ew2ZfjZp\nmIeTyuW63DyxiBuWVTXRrzkAAZ+39tMFYLFkWqtWtugSDLFwgEPJzQvnYKHw0hF6vjjmVAn2RBdy\nRZJ9Two/HeAB4FF29b2MyosfdLGz0OqJ0YBiWm3k6FVyCAT0iSbR18ep40pHfAEnMqdmS3jO2alN\nJfjJBCMmD4cJA5k4ceLw4cPJ7VWrVukYqGFctDs8gsa+M2PBUgCu7q1USq4g6SGy4wE4ODiUlJSg\nuoixB42IhQiXRymeWIE/Z8oSYVIiUF2sX1dyrp09/ucvG8uK9BxJA1GRS/5fIBB0oIl518BKbKSq\nLtopZ9mpHrKwKi+RfbfNXJqPmzxtYNAooQQ1AsmtbEH7VScx5gu06QoA/afoeJeLr8qKOSIApcXF\nANB/KtoHKE77v7V4zaYps+bRXSZa3uYZKeGKuCIJgCKuEMAPD7KFEoIgUCMwMBO7KdkbskE01kjo\nlt9vkXk1AokBAqx63UX9VEM4lozbYZPCZHCYMBB7e/uTJ0/euHHjyZMnK1eufMN3p9sZmmwOFos1\n/7OVoc8zTt6KKClkXkR3cnJ65513UJqF9Bg9bi8RKwyL2krFI7coVbVci868jIv598Sh2OhHdTd9\nA4hkQS35OVkp+ofrNggsVpeevekHxFLi9+h8AEIJkSa2R5dgj/k7lm45oKqXqpmcKkFSGQ9AqzZt\negUMgrWKlcOSsthLVq0NGqso2FZQI4Q+UJNxWa24vFaUXs4nXRSrQzL06kfRodx/o76C8Oad8LLB\naLA4jFJfRkcEYiloJQ91RMfBaFpa0uteTeQujYvJ4DBhOBYWFn379m2rpJfQgNQnjHzc5GnUtmMz\nZwCBw0bsPnmJxWLJ69ZqmEgKU3pXPbW1UP5L0RJkGn4MN3YYEswhlQDgcY2pamA48rWhnMz0JqF1\nBYyaMGXG/CV30ytnnH11KakMAE8kVakyk18jOF3toaEDZrY8zNy/76/osAerNm3r2MVf5WxmpQCA\ntZ0ileavJwV6+XgoqyCljLf4ahrpUAGQVyOs5hv0Ok55OBr7Z9n/tJD009C/jsaKPCDH0CgiKSqf\nlyBwN02joJyOHaoHcxhcWq9JYYrhMPH/gsVffWfv6JSTkebfN+C9D+ez2FRpDGLZsmXklqypVAIW\nS1Eotbp4yqBOL2yb30ypqBJIZK+VfM1/3rwqvLqPV/fh7AEvnYreySCdCk2jjFxzO0tZHbm+k/E6\nrHEHQzIwaDSbbZZfIyypFWdWCKAhSJAUxdIdvoR1+t9LyP4hIgAAACAASURBVE/6YPla67bDoWzB\nbH2Ue2xKJ4lYsfxBEOAJxQ7WTCVmmCjnKcajMrb5l1K8m1n7u9lO69bSylzXdz/Fmo7+CbplPFF5\nrbhDc+OoRLwu5ZE/QYPO8lQYR50F7VDXghe9h3pGk2gZTLVQsvZW6sf9Wxv9bf4/kLtrMjjeBI8f\nP75x44aXl9esWbMoVW8T0Dn8U9O1uje2tbf/mFbuSywShV67WFleVhs86Pr160pNn9+ESIB+kwGA\nkC7tbh8wJCgAmNfbLSqXs/ZOJoBJ/q3yhwRFhd3TcseWz8+V6GVwkF4TokmIrJfF3oXnADi6ol0/\neHZv7OEAgHubNmKxOCstBXAUicWgLS7Ul2HzcGr1oxxOFkvVvVRUxf1m6dyy3tNg3po6+DoltW93\nnYITK/nibY80FuGr4IkreJy4Ao6lGXt695YqZ/li6cVXZYO8HD2dlJ4YihgO/ef5R1nVN1Iqtoz2\ncbAyA5BVya/l8ds2MzD6ii+WGcf6xrXoiy715GThqzp30nAuAdIIq+CJmzeArI4Wm+N/whwxLak0\nOFFRURMmTPjzzz/XrFnz1VdfNfZw/jfQK/0V+r+v/PTN8m3rVu3/9Zd33nlHdkhROVaKxDvkpqW5\n+eQZsrIybBZrQBuHiX7NbS3Yn4zqtXn3wb1nr1Edzlm6vHfAIPotpk2Z7C5kCiDNiEHGU/XDrdxd\nASgXfG88qkuQKq/OatEI4cDqJMY927B88b2QawAeRz/h8njXksuM03UrP9g7M9aCkUok0eH3014n\n0Q+yzHR9T+MIpboIkN9Kq8hTCw3ZEpaz/2nhvIvJK0Myamm68ZRf53ZahY7DUFwLpJTxjsTJApM/\nPP1i8eVUgZ5xD0rdqWzIaYRoEtn/G2edif5hdzzKA5BQ+OY+vpavutGV+FUwGRwNzs2bN6nt06dP\nN7V/AU0ERgtDX5tDRzOllst9EHJN9ShVV0UihFTm+razUHp+sVhY0r/Vd8O9ABAEER1+v0/g4IAh\nQfsvhHz0yfKNv+2lN372+FHhv9sYbh93DZc2NU+4AI7SfCmpLgOaRhk5QgoB18qqaemeZqenRz6Q\nGYKVzTsevx9/+nmJ9kt0x2bmliofpmq3bDP0moAOSuIo9k7N1BuKJMSj7OpY1eV8nf7YsysFsfmq\ncwaZxUIQiC3gfHRBpnx6KamMEl4LTa/Uq5xKfo3gTEIJ5Cs7AolUCkIsJQpq9FuEoqAcG03hkSZb\nUmkCQ4kt5KDhvT6MqFgeVQLJ+2eSJG8krUxHTAZHg6NSkYRlLD/wfxfGDBQjegutbZRe2QMCAgDa\nTC+sparXNrdVnXTN2az+rR0A3Lr8z4Hftz6NDI8Ku3d4904Ajs2c9569NmrC5Lcmvrfv/I2Ie7dR\nnK7qzChJR2EqpJKyW4cQfV5xPD2mODleaRh6IeAa01LJTQQhDRgSZLQOjYFfd384usJvKLlbBSsj\nPkh5dq5ljHHAZhYIWkipfpFc++eMesO0Cv73d7O2Psp9ls9JKePpW0N1X0wB3cmRVsbPq1aI0ZXX\nikg/RHo5X0JbUonOqdHdkZBdKSRDVou5onKeeMmVVHJ2/i40U6+hUjBKkDUWBO2/FMZVDtWlt/gC\njmETvO4j1L2lQCSt5Isr+U3gHUaOyeBocD788MNp02QpEqrhAiZ0QF9To872bLbZ2m27ye1p06ad\nO3du586drVvL7UI+F7xqpEUB+HaYp6ZOXic8p7bDQ2VOrPZ+XVZv3r7yh63tOvr1GzQMYiESQ5Uu\nS4kEr0q2/SKE1AIBgOJU8h2tW49eOn1IFRLvgKu3g10jr+4DEAr0V19tCMSyadjbt1PAjE/gLIul\nuFVkTsUQvGFqOTXqB8l362KOaNWtjCVXUjc/zK7giU+/0NUHUyuSxuQpur2eUp5brbTIUsmTABAp\nT2Z6fQPUlUmlvH0xBZQQSGmtSGDQN0l1eCLeaK4mw1EraEcVSTGu1GmdvZFD0OJ8olfEbVA9U7kR\n1vjmIIXJ4GhwLC0t//jjj5KSkpKSkn79mMthm9CO0YOhho0edysu9dqTV3/88YeNjc2sWbP6DxoM\nALWVpBFg9yqExWK1dtS4rNDZvxe9N/UGi7/6tke/AciOR26C4qiAJgAvESuyXeT+ib6B+kub86qR\n9ACFKfJ9Ate3y0q9GIZUAiA7LaXOhm+Cl7JlFAIY+pZaXdnGYOjo8eTGhZdlMfmkwjdx5bVSJmRU\nbs0f0fkhqXpYgbse55fUytb11F+Sv7+bBbUlA7E+Uwn92tC0SqrimlhKLLuWdjSu6H5GlWEZv8/0\nny9fldTeTKkwlojcnfRKmSnWeHOrqtw7oXrWuPfS1DPdDaOjDuybxGRwmGh8jG5PMIaDqBxks82s\nrBRrK+ZkomxhCiryAHDT4j8NaMXWvP418u13F3/1bcCQoHFTpi/7eoN6A+/2HTy924HPQVas4ihX\nOUFfJC+EJpW0cHXftOuAk53+KYtVRShMwY3tst2sOCQ9wMu7evdDQUgBCPnGKdJWX7gyCfmXJdwm\n8uhs69sJwPNC7tmE4mf5NQDK+eJbarbFg4wqhou1klsl9yqxVD9qaa0I6vOpPt+IlqYZFfyjccWb\nHmRffc0sIHEmoYSUJGG8uVhKiCRS6DOtJhRxtz3KPRYni6o+m1A6+59kg3/fm8kVpEfhZv0EMIxC\nU4gjISF/Tb0CfRoak8FhognR0GldKv3Td21JIQS5p2HJijXv+DXX0hWLxXpv9oLNuw9++f1Pzs1b\nMLa5ev4kAOS9kuloJT9CcoRSi7yXMleEVFJaXBj5INTMgLRYMtxVIpIN/s4eAKit1rsfRYcSAPaO\njob3YEQyn9pU5gDYF5UnFtfDbWM8yBfHmDxOSa2YVOiQGkmEa+2dLClBROXWPMhU/flkiheEykFd\ne64VSQ/H1q2afy6xJKdK1bA4l1ByMr5kwcXklSEZr0sVZihBs4roeTS6QIAFoJgrBCCUEPtiCvJr\nBIUc/VRcKapFMm9NaGql9pZvAPKjEY0nl0f5Wi4nlaGJSODLMRkcJpoWDWFzqEShMt7C3cESQOCQ\nYd/8/OueM1emzJpX//t279MfAHIT8DocACoLVP/8E0JRngPIIhWunT/19F6I3rcR8gAyhvAcilLB\nqQCA2CuKABF9IaQAPL3bGni5UWnh5MgrzgIgBvvk4YONPRyAWhpnAUAhR8gXS43ltuaLpWU8SUYF\nX12ElBQdUbmN7nct5AgzKuoOyiniiF4UqYqRROdxyHIwsQWc1bdoiuy02z/XJxCBJ5I+L+IAKOWK\nuSJJlfzDfncnS8ceVCDk1g6vkcJ66JDfytpbqYxnjbW2UncoCSGzApuSg8Mk/GXiP4q+kmKj2jd7\nlF3lZGUePHCiXjcqKykyt7B0YXJy5GfLH6CZT2HjyGwBkMIbQllsR8GLCKvA3vpJI1CBIBEnEXFS\ntl1biZJM/aROKaRSL5/23u18w+INLERnRNxbty6VPzKL7dpob/ymYEHucojIqY7Irra3MqTuKyOf\nXU1pac8QOVQjEG+8l8VVdiQwxgNyRZL9MUVlPNGGIC+WovCKrgPYGZnv727fhh69RLuWI5QQBFgs\niKUEPYJVLxG2p/mcxzk1AGILOTdTKs4nyGJOy/RUiVUfoFhKCCVSS7PGfZEmAJRwVb01b7zMG6H0\nv6aBycNh4j+O7i4TV1vLNpqjRNXxd7c79Mt300YMmDK098FdqpIbXE5NWYnciZ36GFd+YjY4SEXz\nSlltueKXT3q4qxVK1YJYiHjm1Kc+0szFbfnfDPO00vP5a8Zmf/bdpiaSvt2tO03n1DD7ydiorG5U\n8MUb7mUbq/OSWvHL4lr14wSBh1nVT9XkOtRJLeNfeV0WkV297Fra+ntZt9MqpQShe6oCQRB30xUL\nE7fTKl+XK41nZ0QugMOxRdn0qA59pjV64uj5xNJKeb4MVyTZGp5bxhPpvUBDs6f0lTHLqODvjSmM\nyZN9sWIpocuXrHUwAMATNXIyqiJpuSm5OEwGh4n/LPquziwNaPV+N1WFaS08fvz4xIkT5Paxv34v\nKlASsTZnUq5kID0alzYhX6ZlWVlept9ML+Aij7maq42F+XvD+wX7NFs73EufHiHhc76aP+P6P6f1\nuqqBmDxtpkcbjcnJjYJKtmFkTo1Q0jjPdGoqyazkV8mnbWqCeV3KC8+q/iUs515G1aFndQdwUByN\nKyqTl4CJL+SoaIrEF3EBUFXoZDfVx+KgNy3hikTyb48gEJJaMePs62lnX0XkMAchxRZymL5txd+M\nvr9ERE71uYSSx7nV5ADOJ5Z+dyfT4Emauo4+yEasZocmtqRiMjhMNDJNX/9fExyO0nNERZ7Bytpm\n+tzFdffy9BLSoqk9e0cnjfLM/Bokh1O6FDLEGuPswu+GpCcnAejVyq6lHUOxscHeTmuHebnYqp0S\nCQCUFebXPfiG548Na7y8vRt7FErEFXIyKwV30mRJKHEFnMZ6iaSm+aOxRTeSZQkaOdWqUZ8/PcyJ\nymXQDtFCdI6svfonI6dSifIJvb4A7daJlCB4IumhZ0VUkjCFhCC2hudOPJm4L6YgrUwRkkLv7rm+\nyhYECwBfTIBcjXpaKJIQP4Xl6nq5MhvvK3xdjTvTK2ruNOYoVDEZHCb+yzSoNTNo0KAhQ2R62AOH\nj/Ru31GlwYLlq/86e61Tdz0WAoLHTWSppUTKKM/F1S1IuA1+jUJmQ6DtwVqQmw3Aypy9YiBD9MPb\nnVyG+TidfK/T5M7KAShiPgCIDBL+eh0GXj0SZFQQ8R/evPT4fmjdLd8AWXGoLgZwPL7kZTG3jNf4\nKTMEwQLAEUrKeWIyvKO0VvT7YyNYir9H5UsIQkIQDKsbshUlZYNDn84zK+v+p5VRwX+pFr76bWhm\nMUckkhBnE0q/DlWEr9ItGH3nV1k+bUr5g8wq6jM9L1S9tY7kcxTWXpNS3GoimAwOE02aoqKiFy9e\nCIUG5stpwiiGiK2t7bFjx1Zv3r522+4Nv+5lsxn+mnz9uvTsG8h4ub2Dat6pg4PDz+vWaFxR4dUA\nwN292DsHBxZCLIREjOfaslq69epLbnRqadOpuZKgO4uFFrYWAMzZrAV93bu60QJHaqsAQw2OqiIk\nPVDsxl2TJdEYRmYsQCtz07g8PISSTAAcgUTUROpTsADgXGJJQnFtejmvVigViI3jbRFJiOxKwT+J\nZWFZqmoi1QLprdQK1bRPDXctrxXRM2kBpFfwdVQm3RKeW6ocRsoTKe5SLZBQhovSzfX5+FmV/Gty\nz1BGBX/xFZnYHUcoUf/guiBQKrOn9+Unnhc/yJTdVyghDLZ7QNOOaxr/UmWYDA4TTZejR49269Yt\nODh4+vTp5eVGlvSpp81BXm5nZzdqwuRho8f19Xbp6eGg3md0+P3bV/5h7KGFm7vKkS1btvB4vJRE\nuWi6kIf7+2XbEjEeHVNsc8pxcgXKshyzowYMC3Zr1Zrez4z5S96fs/DwlbtOzi7kEQdLs1FeSlXO\n+1uUtG0mO2JpxnKi8ixSI8GtHDzire7duuryPSgh5CErFpGnZLsiPu7uRepjvfuhSIkAAGnj5zoC\npDwJAUBKEMaSyKwn5JTGFxEAonJrYgo4RlR/+O5O5ssShvBVgUR6N6NSNUGX6b58sfTY8+LND3IS\ni7k1QglpCukuoy6QSKnZl4SuYSWWEr9GyKKm6EYWoclByERyGZ+yaY7HFxdzRdTIDz4ruvCy7EpS\neZU+tUjoRoa+/0SuJJWfiC+mQobTKnjf3snMqzbwXatJldajMBkcJpouK1asIDfCwsKOHz/euIPR\nhBbDpbqy4pulc8tLmd/nVqz/pe9AWSky7/Yd79696+XlNXfu3NIC+foxvdiKRIhSZZWC0iwcXx44\nbMSmXQdGT5xCHe4/ePj8z1ctWvFNG28fevMRfq0daxQr053aKQVG2LLkr5L5Sd7tfRcu/3pA5/Z6\nOydKMpDzAiKB7CH3+DQAVOsRrqiKVALAxdnZ8B6MiFTSSl5wR9pUDA6lfJkqvsiIAyviiMI1vOU/\nL+SSEqu0kTA0e1HEvZJUnl8jWHEzY8bZpCVX0oo4Ir3mv7+eFNQIZfP9Py9L08uVvG6VfDGA8loR\nn6bxrl80ieZIlJwqwe7o/N8e5x2JK2K0L398kPNHVL6qWBnN8NK3TkoJVySUEEmlvPJaEUcoWROS\nyRNJf3poaAKUwsPRJP6tkpgMDhNNFKnye63RV1WMCGN5WwAFuTlarhLweRt+/Wv15u2frPl+8x8H\nQkJCxo8f//z5c0XdV6lUERMqZFjgCBw2Yv7nqwBM+XD+gGHB5MGZHy9jvJ2Dldnbgf7Urp2FknSE\nS2aEbCVFKslKS/Fo4xkXcg7FaVrGzwA5cokITy8CkC33PD6Dgtf69UNBSADwaowXFFIPlq76rqNf\nF3L7WYHhvm4jciy+GLR3+mq+9LPrev5kBiGUqMZ2UCssd9MrKa1SapoWSwm+WJpaztsZkbs3plD3\nGxEEwuROjqQSnoo+DWkfHIorpq+86DW76tL4clKZuhiaWEo8za+5+Kps7oXklTdp0ST10JwlL00s\n5j7O4wgkUlJszeBar9Sqn8nDYcJE3bDZ7FWrVlG7VMXdBkKvFRYdG3u399Vy9uLpo1bWNlnpqbt/\n3jBr7JBffvlFdoIKWZBKUFMqi8EUqD7y1u/864dd+11atARg7+C4adeBK48TQ59ndO3ZR9Mdh7Zz\nsRLWAEB18Z4vZ5YWKx79zVh88KtlNwUAPHn0QO9nFRX28fAQLmyQjVkqIcvTGIJUAsDK0miyWvVB\nxOeZsWXTyZM8/ZI+Gog4WrUwAIdiC6kasG8a+SDupFeGZVcpH1MQk89JLNbPVvszukBWDk3NPBBK\npOW1okqV6N16eDg0ceJ5iUou7sqQdDIPWSQhXpXWviqtld/cQF8LfTD51YLziWXkdhFXtC+mQL+O\nAAA/yPNlmpK9YTI4TDRhVq5cefv27cOHD6ekpHh6No4YAymFrq85Qra3trE9cOHWmHffHzJyrG/n\nrp5t27VwdaOasVmsvOys0wf2qF4vkc8ZIh4kIoT8CgBPVANBLp85VlWpVDDMxtZW+8BasniClGgA\nePUAFfmPHygKvI1+Z4pM81Qi+vjLr1lsthbDRSN0qyjjqWI7dA/u/Y2Ik1qSeJkhpAB8vPTTEWkg\n/t6+2axpPL2drM3aOVsD4AgbWV2KQpGESSCjXCCUEDyR9Fh8PVbT5PDF0pwqQRlPVMpVTQsqqRX/\n/bRQNZpEwzyfUyWIU17dqBVKQ9N1igyNK+CoZNbQw1f5Yul+udvG4BiOzErB3QyZ3trpFyXn5Oqr\nBEE8yKw6m1B66nmxXolRhTVC9SE1OiaDw0STpmfPnuPHj2/WrFljD0RvSJvDu32HrzZuadfRL/VV\nYk5memmx4hH83uwFXA7TYgHl4SBDKAS1EAvUq78+e/zo2J5f9RqSja0dksNRkEy6HJq5KKrTNXNp\n3r1rFwDLvlw59aOPT+3/MzHuqX7PKqkEuQnMp8QCxF7B49O4tEmvAUMqffv9D4YFBet3VQMhFsKA\n0noNgKOVuYuNOQCRFEmlvHsZjV+xLKuKDyC5lJddJbiXURlbwCniquanGMymB9nnE8sSmARYK/hi\nlVUMTSLr0Xk1G+5lX31dnlct5IulAFLKeXE6B1isCsmgS4+ouFsoy085QVePP5+EIq6KlhpFEUe0\nL6bgwLOizQ9yGE3MDfeyF11OiciupvcgVCypNCGLw1RLxYQJnSANCMNEA9NeK4mB7jh0xse3o4NT\nM4lE3H/w8Ojw+wACAgIKCwuzsrIUfgKyln3Ba1z9BUwUF+inuGBpZTXU1+3hqa/I3YzkpMEj3qLO\nTvd3tX9d3se3FYC4J2RqiT6PqppSvLhVR5u8l8h/BY/OqsdLs3D3LwyeAw8/+uGt+4708XCMKjAo\nQbciD/bNYWFdd0vdCBo12trSCmgE1UgV3OwszM3IaZV4WcLVK42igdjzpKBfa4dbaRVkEGUlX8yo\nNWcY6RX8DA3SHZkVAlXhfqZ/s4nF3CNxRbVC6a+ReSwWiwX89Y6vXjMxRyhJKeP7tbAB8DCrWlVo\nlTEHVb/FnbrbPC/kJpXy+nqoeluf5NXwxdJ1d7PaNrPeO9HXjDS55D02jfhmGSYPhwkTStAXUBhX\nUnRfXqFaUnoYAObPn//h28EOTs0AmJmZr9/51zc//7p68/bOnTtnZWUBAKcMAPJeIj0GAKQS2YYa\nAUP1e/UPC73x8Lai8MoRZQdJQBvHH0a09XSyApCVngLQqnCqUF2MM1+jTDkkVpflErEQUWcZjj88\nhNxEnF6Nq1vYYsXUkpv8CkA/z2au9vrPXhlPle5VXQwBwyuyrhDSz1atNW8SwST4qLe7OZssINdU\nHOak/LmYFqho3IFp6q20VlSkQWQ9vlBhipXzxJRAO0EQUoL44kbaMT1rE264J0sTC02rqFH2NJTV\nip7mczIrBUr5Mnr1rls277o7mVzlKi0nnhdT8SWZlfyt4bnyu8vr9jWNdUASk4fDhAk9MEy9Y/Ks\nuRKJJOHZk7YdOq39bhVo/hJLK6vgcRMBjPSX5QAj/ia6BKGmVCEnqkyfwCEenl49+wUOHT1Or2HE\nRITRd/sOHKKpZWlRIUCLJlGhuhh5ibi4EZ2GwNwSA6YDAF+3OMrcRKRFo31/pYMyvVQCyeHS7qPh\n3ZM8/Nv6lb0OHuzi39PF2lyTw1kjAi4S72DwbAAQC7F/AcavRCeNH7kO+DUn/t7FHjzHwMuNir2l\nmZl84aCJJOjWiiWgmQWXksocjVdBVy92RxV8O8wTwPG44gBPh/e6tgBt9qWoFUrj9ZTVquCJRRLC\nwoylPoNXCSS3UisEEmk1XyFSp8lIqhVJRVLCSfn70fFnFEqIu2lVE/xcqCOhaZV0eZJ8tdCNJmKS\nkpg8HCZMNDhsttm0uYt+2LV//mcr7eyYi8HOmjVLvklAJNAkr9m1V5+Nv+39/LtNw94az9KzoquK\nIoh/3wGMzXq0su/Xrx+gLPFZmKLYJhd9qooQfR4RJ3Hvb/Cq8fSSToMQ8ZEcrjysHJTT0ljohouQ\n9+2yeXHRkQK+vqsqBEozIaiVvWeSmT65CZpsuLrJeHr+6IHEqPC6WzY8ZixQ+TIXksoacSQWZiyy\nFg+Zw069TKeU8epZc9Vg0itk/1SkIPbGFKSV8wEQxjDLxFJi7d3MQo6QMXizViRRSRVmlE0DcOV1\n2aJLKXRNs/Ja0fUUXYUNd0fna9Gdo5ySVGRLU7I3TAaHCRNMGKsIi0o/mnZ7tLJft25dcLB8iUQs\nAp/59WvqnIVW1jbqd9FlwEKB0rRt7+CgqeW8efMARYosAIWVIJUgJVKp9YsQXP4JqcoHtfA6DK9p\nvpb4G0rpLfHXZdGyfA44ZXnZWR9PfTsjJUnXzkmynyMlEmIBIk8DwL/rZTcqydB6mWZSHwNIeqbz\nZ2xIzFgsc7nBobfjx6jYWrBJvVr5UkojjkUGT0zFb4IgkFcjLOGKfg7XpoijO69LeBvvZTMGw5bz\nxCo5yUfjGJZsCAJVfHFprejnsJxJp15OOvkyr0aYWsGn16LTjlhKnHxeQm0rS5OgiCskBdGbVKwo\nhcngMGFCgSYJL2P1qQVnZ+fPP/9ctpOXqEl0q413O4NHMjB4NH13xPh3NbUsKioCaB6OwmTkJsq2\n+RzVlBmxEHmJ0B2pxI5Pe59T0TPNTZQ5OR4dp1k8ej49qQtjLrSoSFGEm5TXSxGkd5cOBl5uVNhs\nmBtPwrw+WJuzLUjTh5TK0NPl1hCQ0ukZFXzSFJNIpWU8sYihor0h1AglyWXMqTevS3kpyqd4IoYV\nyUfZ1WcTSgGIJESNQFIjlHx86f/aO/PwJqqugZ9ZMtmTpkuatnRfKKWUrWwFCm1BQRQBARFfZBFE\nWVRAEUEUVxblVQFFcUFRFPFzRUR42UEWUSmICigIyE6B7muW749Jb6ZJGpI0aYb2/B4ensm9c2dO\n7tzOPbn3LH/t/9ezsC7f1i5rLdp99nxJneTA1yqMm09cB8wWiyCIa7KysvR6PQDAgS+Ek3pCitV3\nY+KM2bGJ9c55wvUSp1rOwGH35vS7nT+e9dKrSlW9KxxXr14FEEzbpw/B1TM0vzFh8kHI17If16pK\na8MZOWaX5Tc+hBs6nr41jbVv4ZrK8rVP29pvfB0OroM/tnocEcRsAoCnJo6KCZLe8Fx/w1CUVCKK\nV7ecZfjNHQtY/rhcvveMCGLCWgAAvj12lfeXuVJmDJTVZEVt1pj3f7m07ug13qu20iGVTJXR/I2H\n+2JlNaYfzxQDQHGVk43XMqP55PXKajMxkvVUcD/SSEaj5eXl8+fPNxqNSqVy5syZHMc1zn0RRDzU\n5/MidLV98sknp02bJjyhU/de85d/4P5lXSyoUDQ9Z9HSOYuW3lDU5ORkACAWD1m9c4c/MPCiKm7B\njxc4i1saR1xiStvOXb/5dBUAsBKJsabuyn9liRYqSgHg981w6lf7xvyah3BDx9MAGAKHlPIywX6N\nxQzb3gEAOPI/GD7fgwuaTUqVWhMUxFBuZTr1KwwFCnE4zCilDFu7wHH4UllhZeDz+vLTbGWtOcWK\nny/cmRri4nz/QSwtDl4s/fNKeUKwtLVe6ZPZv8ZkWXP4SmaUyvnKjQXeOnBB4JXji1v6iEZSk7dt\n29auXbv58+cnJibu3LmzcW6KIDcXCxYssNM29BFRsxd4Ft3LJ1jjrNeaVrRMbZ3ePlMu5RgKslrc\nIJ4pT2lp8cnjVsMLe20DAADOffUaXPobLhyro1jw/L0XLGaOMnXu2XvAgAEA9fvL1EfhjRJ2nD9a\nx46EYDbB+xPhyP9sYdp5LOay0pKd/9vgxZ5BTnzQhExbZmApS0vtY0d4hlRCK8UR7j09TMHSNACY\nzRZirRkQOIay+k47zK+erh/4jLq7GkU+jTp/8nrlQc8mAAAAIABJREFU2K+OO3W0+flc6VGBvaqo\n3GIbSeFITk7u3bs3AKhUKonEZwFhEMSH+Mpow7srHz58ePHixXaFly+cq/TEQcMnNig//fTTuXPn\nAMCazg1AJqEAIF4nbR2ufGpI97tGjVNrta4vUnDp4m+//OS0KiRMn3vbnXDlFHw+B45sdnLG/s+h\n6FL11fM/7dqenp6+YsWK8PBwJ6fxXDgK1XXdAa6fg58+dy0emE3w+xYn5esXQeEF2LQUPnoECgU5\nLMxmADh0YJ8XVgp6paRXnLW7GApm9mjRpYX3I42iKI6mU0JkxG40gNzeMljCUABgssDWk4EMeCqX\n0NEam/mqGOZY4otrtlq4wIWS6iX7vLUiqkuVyVyfvXBZXX8ZUa1wNNKWSkpKCgAcOHBgz549c+fO\nBYCzZ8+uWrUKALp3796lSxd7sVhWpfLX2785wzCMTCZDnc/n0DRNUZSLju2eXO94VijMKpWqsND5\n+zoyqoXE5Raki78U/qYHz3m2s64KqV2CPrgO2t4G2nCtUq5QKJIUireG6H7d9+MXH71fX9v5b640\nGmvmPvyAi+urtUHHjhwCqGMuKpMrKisEesMHk/iVj4MHD+p0OspST4b6gtPwzYuQ0Bl6jgazCZQ6\nAICq8npDlgk5nQ+Hf4CMfnUKS2vT0xRegMILEBRh/WiqAYDwyKg/aI9/pAWpZBE6NU1RZotFI5P0\nT4vQKOS/XiwvdbYBf0NkDKVUKrISFYZ9F84WBXJRAQBUCoVGEXijFgBgGUZq/eujFAoFw4hhBYhS\nKBQAQNEMAPx4tixYraiocWNk+hS5QuGPydQ7L5jGC/z1+eefnz179qmnnuKfAcdxUVFRAKDRaEwO\n66UMwzgWIg3HYrGYzWbsW59jsVhomvaiY7/++us1a9YYDIaJEyc61i5Y/iHt8m+hfZSTPx87PJUq\nPS2tW7due/fuBZNRYqmpAdBJbV/t4E976ms49L77+Vjp/YfcveHLz+xqe+TdWlVZceDHnaf+Pu7Y\nto62ATYDjmPHjm3atAkGPglJEY6toLwQyovgyP/g6A6wmKHvVEjLgQr7jFw0w5gdO8FihpM/Qes+\nwAheg8IoIMd2QXSGtbamAgDOnPwbQvOcf/n6CZExHA3TekQv3nWmdbjSZDJ1jVaHKyXeKRwaOWt9\nFqL46WpWsqIwX5VQwFAWALCAxWQymUXQORYAk8n0wa/nj18pA4CNxwva+W0N1QVGo9EfL3xRKxx7\n9+4tLS0V7k/r9frRo61h+woKCuzOp2m6osI3iX8QIRzHVVdXV1VV3fhUxBNYlmUYxtOO3b9/P4n3\ndfLkyd9++23NmjUcx2XkDuRjnwOA62u682eSGiwhdqnGmpqPVyw9/vtvcUkp9z30iEzuxCCjqkry\n9ddf7969+68rpR9cjZRzTFu9jIgRm9TS7vynF7/ZJTvHVGNUqFT8aRNnzK4oK9u+8TtyTp/bB896\n6b9nTv594Me+9cmZ2LLViWN/2hVaw70L7Tz2rbHGNgVBflre6+THj6D4Evy5w+4iTrQNnpM/w+//\ng4z+1o+/bYLrgvQ0v2+BnqNBEQRgXYypKC+jPVytT9MrekarqqqqOoQrgmTsvN7RfBe1CpOfvF7p\nxVu7U6Sq9lkEfk411VQnBEkoigp41AcpS1vNVy2W/HPXD1/wzNHUH1gs5qqqqhMFZUT7ef3HM40v\nRllFZUWFX5a0vVg4aSTl9NChQ/n5+bNmzZo1a9auXc5stRCk+bF3ry2Q1NatWzmOk0gkp06d+j3f\nwXGj1tmV/PPoRuT8T9598+O3l/60e/vaD1Z88+5r9V2Kpuns7OzMrGwJS0WoJUJzgazefR6Y/mRC\nii0BW+G1AqlUphC8fVRqzbiHHxNecPiYBwAgooWrRPOduveqt84kWAwoFyxgFNU1Di0pgD2f8Llw\n3eXSCZs2c+4P+1mcv6/ZxN908vgxjIeWEzoZy1s5hKska++2paZ7tFtUx0hlSqjcU1OMnrFWcxBP\n48z6AxogK0YTIg98igw5Syk5GgDKa8wPrz9xKXDx0BQcnRSiAGJNIhhQjj6xjUCNOILf8zTSQHnw\nwQcb50YIchPRpk0b4cdnn332k08+AQBYufLFN97v0jPHdXOP1A7e//b4H4dJyT///CO8jtNEuBKG\nVjk4RAwf88CRgz+fPG5djdi/a/vAu0fZXSoyOnbslBkrly0GgJHjJ/OhRFwYo/S6ZcDoSdO2//Dd\nxfNnnVQLfUbOH4WrZyAkBkqvBf3xvSG97VHeIsQ7ftsEyVkQ1wEA6gQ8BQAA2lxjBhgUyyTOfX5I\n354pKSkv/HPYyUXqpzatKwAAXVdFWNA3HgAOXyqbvuGk07YU5WTbhGmYmtE1Wr3PwzBTLmAYCgCc\nJBdpdJQco6vVewK72iJjmVCl5O+rVjECvvZTHQgtpz5Esf2GIM2TvLy85557Licn5/bbb9+5c6dV\n2wAAgP07t/njjokt08hxTIyT9Qb7qB4GZVKwfSR1ANDU7vgAgEzmPAX8omdmnT17dv1PfwhXOxRK\nJ0rSohUfzX1lmYTjPtqwM8zgzFaD+KH8vgUun4CfvwYAMFYVFlxukLbBU3wZAODaWSg4bVeToDAD\nQFp8dP8hd/OW756ucChvFKGrjV4xOM15oIg1w1PHdgi3y/PO1FqterHAMaRV6MRMW/d2aqHNjGqQ\nVQHLCyGCtZbEYNmAlGCZCAxKGAoUHAO1/qiOeeMamUa3UnVF4B8PgjRnHnroobVr165cubJVq1Z9\n+vQh5VExsa63Trzwem0boRo5YfLQ+8Z37ZV7//33z5kz54bn35uhz00Icqwa9eAjHbp2B4D2nbNG\nT5rmeAKPVCrtHB9GRK2uqiovc7KO8vxjU5bNn2cxmymKSkpt7eRCl/+x/mDkXVX5iGSV1kvNWfB6\niL5+v9kbsv09uHAUDnxpt0Ejk8k7lh6iKJBLbGs8nu6ABMtvsH1OUVT3aI1j+Z2pISFyyb0Z+g8G\npySG2FQ6ssLBeD7NyyV0iFzCL7SoOObJ3vEj2+jV3ob0oCjg+BWOwOsbcFfr0FCFhBOFwkHpZCwA\nlFSZV+VfDvjiT7VJRBpH4B8PgiA8Tz/9dF5eHgD0GzSMbFLw+CpGiFQqe/CxOS8sfW/BggUaTZ15\nzqNbhEdGLVrx8Td7Dr/87uqYhCS7K9R3qfrchkuKi77+9MNv1nwEAKMefJiUDxs2zHp0dAeUCqKt\nl12Dmko4nc9Xrln59tXLl1xIm3vbnS+9ufKr3fnDRk9wUm2sgm9egqPb7YorKys+W/mWpLJEJ7XN\nqC5mtDHtw3vE1glPEq2VDm8d5kIwnnYRqnsz9HaFebV6npSlU0Jstr1kicWLOBxyCa3g6Jk9WgCA\nVsaEq7kMgzLIWwsMjqZ5OxIR6BtW9YsK9P4FALA0DM8wsDRttlj2nCm+UBpIC32KohrfEdcFqHAg\niFhITU0dPHjwvHnzJkyb5Tr2hkhwkY3FKRRNz3rp1fpqj+T/DAApaW1W/N+GMZOnPzn/1SVLlgwf\nPtxazasa/P9nj8BHj8CPH/E1J479YXep1u06Cj926Nq9c4/efx/9/fMP33G8rzZIB+WFdexSBVSv\nuF9eYosAxtQThyNeJ7szNWReTsyULpFP9IyO18kAIFQhUXBuvWO7tFDzed4JSkHDGVlRitqtGRKk\n1AtjDrWUAYAWWqmUoQelhvKFHSNV3tmfknwulAhUDut6T+AFAamEbqG17u38fa3C/TSwPidELhmZ\nESoXR9odnsBbFyMIwpObm3vkyBEAgHnzPtn4I0SkgEOylQbi26t5dF8AOHShtM/tgwxRUY+OHu54\nTkpaBn+QkJLKG5myLDt+/Pi1a9cC1OZy461HLZY6YUAF5PS/o3OPnJ92b/s9/xe+JCom9vy/p195\neua1q/bu9zxFhdeFHyc/8fTVK5fWvP+29XNNZWi4LTC5XJCnNVItJbk6QxUSfjof1CoEACLVkkW7\nz0aq3dUa0/SKri1U3x+3SsIxlJ3+wTI0vxsvq82iwngYHz1cJcmMVANAyxDZf/sntAy1muZM6RK5\n79+Sy2U1Fg8NHNW1KpF3dqxKCVPmLJ+qd/B6oBhUH/4BicGHiGVgbHuD/wIoewEqHAgiCk6ePGnV\nNgAAYM37b/Xt8F9/3KhxdA4Xmepefa6O7UhkTKxCoezYreeQ/4x1bJKZmdmvX78ffvgBjDUAYB/F\nvC7BoWHbNqzbtmEdx9nCX5aXlX3yzht2Z2Zkdhkzedr0sSNIiSZI165Tt/GPPhEZHQMAWl3I24tf\nAoB5r74lXMgR2nPkxGtXH77MH9utZLTWKz8cYh+wxDV9EnR7/y25XmEEgCldo+xMK6S1s7qCpfi+\n9TRDfVqYMlwlAQCKooi2wbP8jiSg4Nfzpc9v9yBQRIcIa7ewXqWGGdshfNl+a9STMKWEpqAhvqz8\nCocIor2DnBHPNpOI1jZ4RCcQgjRPjMY6S/q04CXu898o/vjR4+Y1T+zddPrEX8KSxJS0t9auX7bo\nhY7RQT9u3fTy3MdXv7OMpHg9derUDz/8AFC7wuGwsNG1V97sha/zx9cKrKlcq6ttG+fXnS1ssKwk\nSFfHN6S48PrTi9/gtQ0AGDZ6wubD/2w+/A8fO5V8uyCZ7UdaapiiVZjVukIrbeiPtwyDMi7Iahwa\nJLU35IzRSgGApSl17Y08teFwYX2iljJqjsmO1d6VFur0hLcGJj2QGRGprhPFvE+iLUGMp/RL1uXE\nB5FVgHS9cnLnyIb4mPAKRwN9hn0CbxMjggUOaFiKQL8gPokQpFmSnJyckWHdU9DqghfNu4ELiT9w\nXxHxIvgYz4EDB+xKgoJD+Ett2bLlmUcnbvzm/1YuXbzkxaf42v3791vPMxkhfz1c/Muu+X0PPvLS\nE494KoaE46LjEhJb2sKXZWb1dKfh7Sk6Mi+GKNi+iUEAoJUxg1v5IAd6ZpSKjxKmldkrHM/0jgWA\ncR0MEsZLo1Hh2oxTKAq6x2o4h0lbxTFJwfLh6aEfDEkmChYIzFm8MF/VKzmtjHm0WxQAhMgl07Ki\nsmI0Godv7T785FqfhU1jcnvLEBDHWosXfkz+JvCPB0EQAKAoauPGjStWrFi4cOHqH3bpdPWkK7vJ\n6dq1q11Jt97W7CRbt24lhZu/+5o/4KNfAABUFlsdVQAyu2fzB/c//LhS7cpwtUvPnGWffM2HUBN6\nHYdHRFI0vXT1V1175fKnPfT4XHfkD1ZI+N0NmqLCVRy/m6CTsdFaH+Qwuzs9LEknn5hpSAtT2lXx\nekZSsM0/1sV6QEqI3NHZVS298ds+I1w5NM3erWZ2r2j+gKaocR3CiXWCzUHX89lVylIAwIcYCVIw\nvElsusO3dhOWpmjRrHDE6/i1qMDPraJIYFcXtOFAELHAsuzgwYMDLcWNuaH7qwtuvfVWuxJtUDB/\nkJSURAo79+jNH7Rv337JkiUPP/ww/LgaKqxpb+e/+QGZ9pYtmCe8Wnr7TI6TpqRnsFUler2++6D/\naIN03325lq995pln3nzzTQD49rOPY+KTBo0c/cLS9wCgpKhw+csvbPr2i/5D7n7osacULpNE8Le+\nt22YVspoOAZqvT98wrO5MRoZ6/jTVMJQScHyCIEVqgvvg17x2m4tNI/+cJKjqYLyGgCI1koHprq1\nBtMrTrv1n8KLpdWkJFRgvto+QsXRVJXJAgI9w4tpXilhACAtTHFPhr6twapnzO4VvftMUbXJY9dW\nae3mgXfWJCkh8uNXfZa6i19XEEFAEJt9sXhAhQNBAonFYjly5IhCoUhMTAy0LI2BTCZbvnz5o48+\nymcg65F3a0paOl81atSoY8eOvffee1m9+4x7+HHSZPLkyd99992mTZv4j63atBO6ABhrbJaGrTLa\nv/bh51BXExJayJ48aQsifmDPjkEjrfkj33190aZvvwCADV9+plAoH5ppW+0wGo3bNqzbay4bMGBA\ndHQ01O4g8FNmx0jVuI7hPoz+YOecIuStgUnCj5p6tJxItbRXnNag4v7v7lSaotYfv/bqnnOxQbKQ\nG4Ug40kMkbWPVG04fo2U2C2WcAxVZQIAYChrP0s8n+b1KgkAqDjm/g51IrbNyo45fb3ySnk1cdhx\nB+Kg6900f1tK8PG91vw7cUHSSLV079lir59prcIReI1DJoYFn7oEvlMQpNlSU1MzZsyY3Nzcrl27\n3jDuZwARWmw03OB07dq1JPfsgKEj20VZ44+xLLtgwYIrV6588/mncUkpwhv17WvLMds9r84aSZsO\nnclx+y5ZToUnx9XVth/u58/YApkXXLLFGD175pSw+cLZ0xfOmT537twOHTr8+++/UKtw8POKXEKP\nbKN3DNvVCPSODyITSnKIzeskLkhqUHFQm7qlX7LuubzYnDits2s4Z1haKO/Pwl9NVzcyWIjC+lFa\nO73LPZznu8doOkU63wjLjtWMaqef0iUqJ95JfFsAuCdDf2uSTlr3jiqbg67HU2yEmusZp72jpXX5\nJzFY/lxerLoBJsC01Zok8JO9qCJw8IhOIARpPuzYseP777/nj1esWHH+/HnX5zcBqqurt22zpYk5\n5l4mlNGjRz+9+M0h9459cv6rd495QFi1e8tGcnz2lPMsaISQENu2wr+Ck4UpZtLatifH5WVl235Y\nRz7yD4uf7LywlPQtKSFysoNwd3oY0TnsbDsYisqK1vSK90DhiKlVWQBgXEeD3Td9oqfVpENZa4Xq\nqXeJ0z0jIRxD5SYEOZ7D0tS49uGP92ixZnhqisCzt1Wo1ZTVi7WW25J1WinTxqAAgFCF5L524QAQ\n6m30VYoS0ZaK0KNKJIigVxCkuVJTUyfwgJ1nrNjwiTMtx3E5ObYsuKlt2rnTiqKo7L79Jz3xdN6A\nQVTdxWqT0daHN+zA+Ph4ckzMRADgvoceuf/hx7Ny+k6cMXvEOFtqa6msjiloSEhI2wgVPwG7GULU\nr5AZWStncmtVCqW3uVGEDGoVwq8iqDn7SUuv4gBAxtIkFqqnJiwyN0KIdItWD06199GNUHO8FqLm\nmKd721IP3tU61P0r28E7tvAev3qVJErDAcC8XCd5Dd2BjAnvYmAQPc8nDGrl3Mk5gAT+bwZBmi05\nOTm9e/fmj4cNG+Y0fWvTY9GiRUOHDs3Ly1u8ePH9d/V3eo77yk2/IXeT4/6CY6dMnDixf3/rHYVJ\nW1iJ5J7xk557fcWw0RMYhiVbSAzDzl7wGn/O0KFDBw0aBLU/o1VuKxxeuxDfELIGoGAZXiqOodpF\neOnrIaRnrDZKzWUYlDEO3je8ZcCsntF07e27xzhJPsfTLVqd67A5onJPJeoZp7WzO5lT6y8DAAYV\nJ8hjZ+1kLyJ5yCUUAKSGyj8e2nJsrUFJpFoaEyQFz8NpENMNmVfbGfe10xMD2DAF2z8lmG6Aa2sL\njejSI4huyQVBmg8ymWz16tW7du1SKBSO/qIixCcTZ1xc3PLlyxt+HZ6s3n0+WLf12JFDqW3aRcXE\ngUshNRrNqlWrKisrZTKrf6ld0FXHtrm33Zl9y4BkLU1y3WmkTGqo3NFz1R3I9b0O9iqUkJgsKCQ0\nP4vH62S9PDHXcMHzeXEhCtZx50jK0ne0DBGqNR0i6+3wjHDl0NahIUpJtdF8/GrFn1fKDSquR4xb\nErYJV7SLUG45WUhK5HXdLlQcU1RlAkH4DTdVGSFkY8ig4oQLDO8PSvn7WoXJDM9uP33ZWQhUuYSW\nMHRxZZ1FNWK+esOoJ06J08kmdYl4dc85AGhjUM3Iitp1qqi02ssA8CKMw4EKB4IEEo7j+AyxiHe0\njVC1jWjTIjb+xqfWQrSNG16ZVwtYltVobHPqkLTQKI3U030Eu4jyPgkwz2sDEoYKU0pUHNM6XCn3\nnWMCsRt15JFukXYlFAWObh0MBfE6OUVREzMNAHC2uHr+zjPxOnlisFv9DwAjM8IOXSzjPXtBkL2F\n585WIavyL4PAL7ddhGrj3x64t8hYOqF+YZKC5QAwLC3sjZ+cGFfN7xsfLGf2nClZe+TKtQpj7QWJ\nCujxg0gMlsUGSc8UVgEAx1BpYQoAyI7TeOSwQ6AoMaRzsQe3VBAEqReRZH6qrKxcMHtan4z4WQ+O\nPnHsT1IuFM+7nQsvmnRpoRbDYjWxJhnXPlzG0jo5O6GjIdtHyxueY53cdHKWuNH2iNVmRtm6t4WG\nez43dmSGB4YFsUGy8NpVh/YGlZ2Sd0uSNTgeib6aHVvv5o5TbknSkXDy9XFrkq6jwxKOjKXT9YpI\ntXRo61ChNQlZg7ELA++mMFKGbqVX6FWSlBA5nwVwQmaEp9fhEZ9LLAAqHAiCiJ8VK1bwsUd/3rPz\n/SUvO57gQ69d/+Fz2XiFg8R3StcrbksJ9u0t3ITMbrOzo4kJp+N2TLBC4ulMfE+bMN5Y4z/t9Ha/\n2cn1ybaIpznTJG64Gik4uku02u7WxDcYANL0tnDvZFNmZDuPFQV+ByRKzT2XG5uXaDV8UXNMj1it\nF2sVYvDLdQQVDgRBXCGGKZwPgMGzf9c2F2c2BMdvypc0pAdctG14x/Imkkygf8y2jVARd1SGpsh6\ng0/8ZbpGq/lAII75ZVQcQ1EQJGOJraiL9PRtDcpxHcPtCt2UcEir0M5RdR7W4z1s5qs0RREH1Acy\nrbfwYr4n3yIpWE7iggDAvJyYZQOSVt2VIkxkI0QnZxN09us0IszcBqhwIAgifvr160eO7xh+L3/g\nK00ogBpVAx1YON4zRQS/ZclSAUtRitoVF1/FgZidHb3ktsRYR38Zlp7eLWrVXS3JAoCLjujSQnNP\nuv7J7Ogx7cP5qGIShooNcne55ZYknULgeBKurGPg8nC3KP6AbKl4YUDhwu+pZag8Ui0d3CrEcdGI\noqhJnSOW3Z702m2JQutddxZvGh80GkUQROzk5eUteOvDfTu3Rscl3DZkRKDF8TFeG5Dq5Cxc9yAi\nCK/ckHu1j9KUlTG+8Zepnd7kErpdhDJKw3EMfVdrH2TQBYDW+nodgvrX3UJyMcurpAxFQV5CEABU\nmcwsDRop675HT6847Uf5l04VWiPk2i2NxNUqQwwDbSNUSqVyx4lr9pdwiYyl43Ry1+fkJgQdOFfy\nvxOFwkIZS/H6U7peMS8nduDq3/lyufgSqQAqHAiC3BRkZmVnZmU33K3UUxpn/cOpzlFfRhjCg50i\nHtt4MqJh0aJ86C8DAHIJbVBx3aI1F0urlV65hjaEDoKI6SxNtQlXHrxQCgAGFddR0JlShn60W5TZ\nw2wp/ZKD3/75osViSQqW20VzJ7tILEU2dzxjYGqwO5bItyTpDpwrLRT44go9geUsJWXoKpMZPA//\n2jiIUSYEQZDGxCexuRwv4ifjD0K8TvbZ8FbxDvv37lzZt4oU7w3K0lSwXAIAfRKDiAtJY0JRNu+M\nzChVerjV6CHDoLTz8pWytKepRoa2DuW9XqdnRdktpWil1mDtJPqqi7UWigLHYGicezYX7SNUQhtV\nAOghcMyhKGp8R4NVJBnjv4hzXoMKB4IgNwE+nMv9gdBNxh8v+vouGPCULjx8VpdxHQy8R0lSsDwr\n2jMPVZ9JUhsEbER6GInayfnIrnZIWohGxoYq7HcGFBz9cNfIKA1HHoeLoFtjO4TPym7xQGZEt2h1\ne4P1sbof1mVql0ih/ew96WHCWqJjDUkTXVxzwC0VBEEQMSDc2mhkdarhuyr8wr7O25xnPoRhAEz8\nARWvk7E0ZTRbvIhA6pSx7Q33tQt3qkzc0TJE6FqSWb++pZQwNEUNTw8dnh5aY7Is3P1vYaWpawt3\n9bMwpSRcxRVVVvAf7UKakvR1bfTOXVoCC65wIAjiR4xG42effbZo0aLffvst0LI0KqJdgwFnsjVQ\n2uRgGTTAFdOHa0JkhYOlqC4t1HkJQVKWTg312ezrZrxwCWPLgkJR0CbcJoBQ+5Ew1NSuUc/0jony\nJJQcCTUmYSi7jSHi6hJwZ2mnoMKBIIgfeeKJJ6ZMmfLyyy/n5ub+8ssvgRZH1ARWR3EdMsS1bLxf\nqHeGij6xniHHJF8sL4xcQneP0fTwMAKpTyCqiYyl08OtEhpUXEZ4HacbrZTxNEy+QcXx4VznZNun\newyRS/omBlEUJUejUQRBmhurVq0ix+vWrWvIpUS4ZtD4ex9unuadYE5b2ZmnOG3I0hRDOcll75GE\nPulMMtHyP/37JwfflhwA81UQuApH1OoHANApSh2mrDdJjfu82CdOKWHaGuwdhikKBrUK1UqZhqSZ\n9R+ocCAI0kgYDIZAi+AD/KpkiE2pcp8X+8Snht4gkoQd/viyGikLABRF8XN8YrCsXYC6lK2d8qd2\njeoZq+Hz3UtZ3+gBaXrFF/e0cro00jJUvnJwik/u4nMCb+PjPyorKysrK/ljlmVVKtuwKyy0xU5R\nKpUSiVXlrKqqqqiwGuMwDKNW27y6i4uLzWYzf6xQKDjOuuVWXV1dXl7OH9O0LYc1AJSUlJhMJscm\nNTU1ZWVl/DFFUVqtLfhMaWmp0VibeFAmI2ktjUZjaanNqkur1ZJIdmVlZTU11myKUqlULrf+zZtM\nppKSEtJEo9HQtbub5eXl1dXV/DHHcQqFdX/RYrEUFRWRJmq1mmEYx86USCRKpU2zFnamSqViWdax\nM+36v6ioyFKbXNLNznSn/+06U9j/crlcKpU67cygIJuLmrAzhf1v15nC/uc7k2VZvq9I/5vN5uLi\nYqedWVFRUVVV5diZdv0v7MybdzB//PHH//nPfwDgjjvuGDNmDPh6MAs7s9EGMwgmy9LS0tZhMr6h\nTwZzrBwKCwsdB3Os3MTfRTiYTSYTuQv/NclxRUUFeZmQ84WdyT87u8EcKzceuVzBdyZpJRzMJSUV\nSqXSrv9LSipaasBYXSmpfWQWi0X4lBUKBen/6upq0s+J6jpzkPApy+Vy0v81NTXkkTEMQ54yAJSV\nlRUWGsldJnQyTN9w8s7UYNpiKimxjkyapoVjQDZSAAAN20lEQVRPuby8nAxmmUxG/mSMRiN5ynad\nKWwilUrJI7Prf+EfppShymoAACzVFcFBqkSd/ExhlZpjzWYz+ZMBAGFnVlVVkTezRCIh7x+7zuSb\n8B4x1dXVZPyzLMv/yfCKiOMoCjwWEXDFgfLycsdCT5k+fTr5mllZWcIqMsIA4NNPPyXlzz33HClv\n1aqVsIlerydVb775JilfunQpKY+IiBA2admyJal66aWXSPnHH39MyqVSqbBJly5dSNXjjz9Oytev\nXy98amfOnCFV/fv3J+Xjx48n5Xv27BE2OXTo0JUrV6qrq4uLi++55x5SPnToUNLkzz//FDbZvn07\nqZo0aRIpz83NJeUXLlwQNvnqq69I1Zw5c0h5hw4dhF9T+PJduXIlKX/5ZVterri4OGGTmBjbbuXi\nxYtJ+bvvvkvKg4KChE3atm1Lqp566ilS/sUXXwhlvnz5MqnKyckh5VOnTiXlW7duFTY5duwYqRo8\neDApv/fee0n5r7/+Kmyyb98+UjVu3DhSPmDAAFJ+6tQpYZMNGzaQqhkzZpByu8FM3n0A8Mknn5Dy\n559/npS7GMxvvPEGKRcOZoPBIGySmppKql588UVSvnr1alJuN5i7du1Kqh599FFS/v333wu/5unT\np0mV42C+du2ayWTau3evsEl+fj5pMnLkSFJ+1113kfKjR48KmwgH8+TJk0l5Tk4OKb948aKwyZdf\nfkmqhIO5ffv2mw//Q6qEL/T333+flL/yyiuk3G4wx8bGkirhYH7vvfdIuVarFTZp164dqZozZw5f\nuPnwP4s++AL0ieTfpvwTRDbbYNYnTpkyhVxq27Y6yWiEg3nIkCH8+aBP7Hff5M2H/+GvdvDgQWGT\nlet3krvcf//9pEn3wffxTTYf/mfd/j+Egi1Zs55UjZoxj1yqW7duwq/JcRxp8uI7a0iTSfMWk/K4\nznmkfPPhf4JTO5GrLVu27Iuf/obp3z6zLn/mK2+TJsGpnYRN4jrnkapJ8xaTznzxnTWkXBKVKmyS\n0WcwqRo1Yx4pX7JmvfBrnjp16sqVK+Xl5WVlZfKpH8P0b2H6t5DS484J0/u/tTvymY1vbP1j5fqd\nwiafbN5PrtZ/9BRSnjtiAin/cvchYZO3v9pMqoZPeZKUZ952NynflH8CAIKDg6/4DS/mespi8TDc\nmh8oKCiwK1EqlUIdEPEVWq22srKSaMSIr+BXOLBjfQ7DMFqt9to1zwJF+5tDF0pFsvfhOj4pOcep\ntK5fs/yVnTZ0rPLIq9adrqvvgnbR2R0vuPd08cBPfn8uL9b9QCDCazYwlC3fXKlUWiyWER/nrzt2\nFQA+GNKyhYbLv1BaZTJ3cdv9teH4e4iGhnoc6gNtOBAEQZoyItGNPMJr81U+yrhH5quub+o1g1pZ\n87zIJRQAtItQNaa2IU5Q4fA7Fy9eHDt2bFhY2IMPPijcIUYQBLlJaQQl5oa3cHqChKH6JgZ5FNbC\nT5CIIApR5lELCKhw+J3nn3/+u+++A4AvvvhCaKOAIAjiE0SYNYMnIII90TM62POYpz6Pnc/HU49Q\nc54mbfEJ4hwPqHD4HeH28+nTpwMoCYIgPkGcb3Pf4pGu4M5qhBeddlP3M+9F8nDXSPebCHtJtEpk\nQ0CFw+8IfSV69+4dOEEQBGniNM4U5eld/Gcn4VcamIePZSgAkHoV712odnh3d3HSlONwiITHHnss\nLCwsPz8/KytrxIgRgRYHQZCmiRgmJ6ceH3a1nl6wgYnlXF/cOxnsGjqVUCmhVRwTonA3rqgYHp+/\nwRUOv2M2m8+dO3ft2rVffvnl+vXrgRYHQZAmRZOfqPgvKOav6VQ2mqI+uqulF+arYv6mDQRXOPzO\n8uXLSTylqqoqYWwlBEEQxGv8uv7RcDzNyuYUkX9Hj8AVDr+Tn59PjtesWRNASRAEQW5GXGeydedM\noUGGF5YZAU/kW5/MpOqmWBdBhcPvdO7cmRyPGjUqgJIgCII0c26Kibk+XAsv/q+GWyp+Z8KECRUV\nFQcOHEhMTHziiScCLQ6CIE0Hcc4x4pSqgRB7WH98O488kG/eHRZUOPwOy7LCNHIIgiCIv3HtL1Nf\nYcPvGFhEro6gwoEgCIL4ADHMuIHCuyBpYlYO/AHacCAIgiCIj/Gf+nXzKnaocCAIgiBNE5Hvm3jt\nYCL+2CROQYUDQRAEabIEfFa+WXxWGwG04UAQBEEaCs6p7uDDXnIRccRXt/A5uMKBIAiCIP5FzHpA\no4EKB4IgCNKkEOfsLk6pGhNUOBAEQRAE8TuocCAIgiAI4ndQ4UAQBEEQxO+gwoEgCII0HdBUQrSg\nwoEgCIIgfgG1HyGocCAIgiAI4ndQ4UAQBEEQxO9gpFEEQcSF0WjcuHFjRUVFv379tFptoMVBEC/B\n/RQ7UOFAEEREWCyW8ePHr1+/HgB69OixevVq1DkQpGmAWyoIgoiI06dP89oGAOzevXv79u0BFQdB\nEJ+BCgeCICJCoVAIP6pUuCiNIE0EVDgQBBERer1+5syZ/PGwYcN69eoVWHkQBPEVlMViCbQMUFBQ\nYFeiVCrLysoCIkzTRqvVVlZWVlVVBVqQpgbLsgzDYMf6ioKCgoqKiujoaIZhtFrttWvXAi1REwRf\ns35CqVRaLJby8vJAC+JfQkNDPW2CRqMIgogOL95lCIKIHFEoHCxrLwZFUY6FSMOhKIqmaexbn8Mw\nDMMw2LE+h2EYfBv4CexYP0HTtMViwb51RBQ9wjCMXQlN046FSMPhFQ7sW59D0zR2rD+gaRqcvSKQ\nhoMj1k9QFAVNfdB6Z4whCoXDceebZVncDvcHMpnMaDRi3/oclmXNZjN2rM9hGEYul7vZsSUlJVev\nXo2JieHVFMQ1+Jr1EyzLWiwW7FtH8M8SQZCmwJdffpmQkNCpU6cRI0YUFRUFWhwEQexBhQNBkKbA\nxIkT+YNt27Z99NFHgRUGQRBHUOFAEOSmx25HubS0NFCSIAhSH6hwIAhy00NR1JQpU8jHYcOGBVAY\nBEGcIgqjUQRBkAbyzDPP5OTknDt3Licnx2AwBFocBEHsQYUDQZAmQnZ2dqBFQBCkXnBLBUEQBEEQ\nv4MKB4IgCIIgfgcVDgRBEARB/A4qHAiCIAiC+B1UOBAEQRAE8TuocCAIgiAI4ndQ4UAQBEEQxO+g\nwoEgCIIgiN9BhQNBEARBEL+DCgeCIAiCIH4HFQ4EQRAEQfwOKhwIgiAIgvgdVDgQBEEQBPE7qHAg\nCIIgCOJ3KIvFEmgZkMZj7ty5/fv3z8rKCrQgCOIWZ8+enT179qpVqwItCIK4y4oVKzQazYgRIwIt\niOhgAy0A0qgUFBRUVFQEWgoEcRej0Xjx4sVAS4EgHlBUVBRoEUQKbqk0L0JDQ+VyeaClQBB3YVnW\nYDAEWgoE8QCtVqvRaAIthRjBLRUEQRAEQfwOrnAgCIIgCOJ30IajCVJeXj5//nyj0ahUKmfOnEnT\n9JIlS0pLS2NiYsaMGcOf88ILLzz22GMymcxoNDrWIkhj4tGILSgomDFjhl6vB4Bp06ZFRkYGUnSk\nueJ60LozpJshzLx58wItA+JjNm3aFBoaOnXq1HPnzhUUFFy8eNFisUyePHnDhg3x8fE0Tc+ZM+fw\n4cPDhg1jWXbPnj3CWtx6RBofj0bs6dOnNRrNtGnTbrnlFrVaHWjZkWaK60G7b98+F7XN9jWLWypN\nkOTk5N69ewOASqWSSCR//fVXQkICACQkJPz1118qlWrhwoUZGRn8yXa1gZMaab54NGIvXbp0/vz5\nZcuWbd++PXAiI80d14PWdW0g5Q4oqHA0QVJSUkJCQg4cOLBnz55OnTqVl5eHhoYCQEhISGlpKQDQ\nNE1RFH+yYy2CNDIejViFQpGenj5ixIgtW7YcPnw4kHIjzRjXg/aGQ7p5ggpH0+Tzzz/fvXv3U089\npVAoFArF1atXAeDq1asqlcruTNe1CNI4uD9iO3fu3Ldv39DQ0Nzc3OPHjwdCWAQBuNGgdX9INx9Q\n4WiC7N27t7S0dNq0aUqlEgCSk5NPnToFAGfOnElKSrI72XUtgjQCHo3YTz/99NChQ3xtREREowuL\nIAA3GrQeDenmAxqNNkHWr19/5MiRHTt2bN68WSqVduvWbcuWLbt27dLr9dnZ2fw527Zty87OZlk2\nMjLSsRZBGhOPRqzBYHjnnXd27NhBUdTQoUPJVguCNCauB607Q7oZgoG/EARBEATxO7ilgiAIgiCI\n30GFA0EQBEEQv4MKB4IgCIIgfgcVDgRBEARB/A4qHAiCIAiC+B1UOBAE8T0LFy58/fXXAy0FgiAi\nAhUOBEEQBEH8DiocCIL4hpqamoceeiguLq5Lly58lpPi4uI77rgjOjo6OTl569atgRYQQZBAggoH\ngiC+4b333jt16tTx48fXrVu3e/duAFi9erVOp/v333+XL1/+7bffBlpABEECCSocCIL4hh07dkya\nNInjOL1eP3z4cADIysratWvX3LlzVSrVa6+9FmgBEQQJJKhwIAjiG4RJ5BmGAYC2bdsePHgwKipq\n3rx5Q4YMCah0CIIEGMylgiCIb1ixYsW6deu++uqr4uLizp07T506taioyGQyPfvssxcuXEhJSSku\nLsZcawjSbGEDLQCCIE2EsWPHHjx4sGXLlmFhYaNGjdLpdAMHDhwxYsSHH34okUiWLl2K2gaCNGdw\nhQNBEARBEL+DNhwIgiAIgvgdVDgQBEEQBPE7qHAgCIIgCOJ3UOFAEARBEMTv/D/xsI+XzjFbswAA\nAABJRU5ErkJggg==\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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O237PLy4cD7DN1m2pEO33+7EsC9u2McYQi8WYOXNm1r6frduM7Rislt1bKCIiIiKNdOoZ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JRpmxJkiWPHJ2v9UBTa7GBNR0BnTTA8WNI5KruGCXIYZxQUrPCHu5nZKBkZGa32ZL7ylxdjyKgL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\nGMLm8ERSQoam8n6zYeocNUVB5XucDRlBlgubuGPtVR0NQucM0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tBHcVAHc9o8qyuz0mF5\n2ITGGW48snE/ey0oDYv0JbkA88tzxsHUOAI6R2P14C4g+4J745vfkEAmCIIYBoK6iHTOqNt9JDef\nWP3Xv2TarHkWrHkXGDZUx1ARMTG1MuKIyX37EIwGdFQ41eU0LkQyZ9nTNSKmiCRrnEFLT6OAK5DS\nF6e5i+KgnDiYRzhyBkyrikLXhPgrCRkwNO6zDAvoTOWx6o67hZJvHqEsxZHmCHmfSHb28aa2eFNu\ndM0VgxFTdx5Py/G5Y1GvOD/LFBHpMCHHJn9WUtMTzVNR5Cyq2Cdq0zbLro8r9S8mrIqaGdd72OSe\nY3na9LSdzT/aK2a975S/ttUV+ywgS8OG7ybAL6n973fnJEfsoilvX5Ye0zLofrPGlqj9TT2zwc4x\nxQjoPGPh4b4i/x1PrYzg3lPaVP45A3D5gqk4d/ZYHDihLCfHku3uap7yARLIBEEQw4CMVIZyZCk1\nXLTNPsBjs2ai6wBpswaA+SNhkYAOWfq7oTqGttH7Xg53fFkIYUNTlf2y2ckBQtwYmvialuZ3m5nm\n4P4uRTfnIlrM4UarAZEO4T3a2NIQGmtiqnAGALTWFsPgHIbGHLHsEXPwizLuiH1ZQdErVAG3hDYA\nX4qFe5OR5rIxiLrwikzd40oio8i6xkU/mSuOGTJtw9z+M3dfz3G922X0O/0RPQPzRcMBIKBpGfOT\nbSTp3tLpIlqJZU9k9pojpmFqZUQtYswYEIDLeiZjbEkIN3yhXh1HLqLdHc2jYrjeY3HnZe6EMne+\nZK/lDQfLPs6KiInZjhD2Mmd8KQzNvf4YY1jcVKO2TywPg3GGooCeM7u3qKmrfsonAbLpgM5x2PQq\nXHTQJNx/attu2zqjcwy+Onf8LvZgysc8nyGBTBAEMUzouSzZNUy0tHfh2tsewMkXXIJb/vt/cMxh\nB8Nw0h8YMKiNWyyo71dULqBrqCsOOZFooCyc3YGjJKSr4hURz+N8X94s84sqlaPLnJQD7qQjKLHI\nMgSToXFE09IFdI1jRp0o6FITC0Ln3CM8nS+40Vudc+iaXPznWsMx5hf3FR7fXK/oVI/pfdFXR5b5\nIq5C+IcMzY1YMyHCg7p77phzY6B8qwFfO+4xnLQMj9jzqRvm+6bgHDiysVr9vqixWqUTZTuGK4Az\n88m985oNBmByeQTXfr4en6+vUrLa11cmFsbe+MVGTK6IivFzkSevDdKul7CpYVJ5GA+e3oEHT+/A\ntUe43soXZBGEPnHvO2fu16U9U7Ieh3l2ZgAOn+46ishLU163uUCJ4jQxn/49oGs4fzeFT45sqsFB\nkyvw4OkdqC3K7lmf7TrLN0ggEwRBDAOmxguyCuCM2iI0t3fh+HO+hrkHHICQoSnXgj0RFfuDoTE1\nb+nFMyRhU0fU1DKcHrxiUfzO/B/8Mi1CpkhwNx1BuFbwDFuwbIQMDSHHJzmgc1VYxC/IhcAsDYs0\nDYM7x+PZMmqBf+0ao34uCerZRatXEDPvuKBysseVhhyBLI4fMjRMqoio/nK4+dOeuKfbn/QbC+Z6\nNav92OBCQuMMUyujqpjH4dOrPO/MHlWVNy7pKRXe9BefmPaGkLO06U3TkDuoGwGICH2JYx+4O45t\nqfX0HpheHcUNixrwX19qVvnHWW/KZK9Y9vFOrYj4XuvypFcw34wJZBU9eV73l0t7JsveZBzL+7uc\n2wPHl2JXeM/RpLSxye16Nj/DPKPw/loTBEEUILGgjo4xmY9T852wE51lYCgPG+CcYXxZ2Pf4fqio\njAZU7u+uImVBQ8u4+WDwexaLlApPnjHETUtQF1FWU+NOWWmnSp+GrIvOBqM6FoDOmaq0J1M2ACH4\nQqaGieVhxAI6IgHRX/lAIV0AFwV13HPSTNxyVLOqZCfHJEWT/Nn7qFrKGyl4a4qCqIkFVHpHdUzM\nZ2XUVNFHjcO1VvOIR+88yrLgciyu6BPwQbyzG6tjAIDLD5mC+ZPKnQWV3pbTx+XeyHC4vuFSCKo0\nGO97PYNPF8bMUfmuyEy7iQJTVe52dy1rjGFCub9ACwPDlIoIRsXcPOAMgQ7/fHp3kD9e6RQWAcTT\ng47RboEWOY6ikPv0QqZp7SqivjeUhc20s+G/SYL3O4CgqeEb8yZkbeuQKRW+8Z/pudnzHsGbS5+v\nkEAmCIIYJgph5fZgyDxgQIgJkfc79B8hE8vDaHCE1mBMKAtn5DvLSKRE9l9W6eNMVDobXxaGrjHH\nsYKrnOSqaCAjpWJXaM6NQ0B3hDZ3F8VpnKGhOgZD46ivjqFjTCkaa2JqEV1mdFhEe6XPMJBFuKqI\naqZg5I7gB4DJlVGVjyxLtLvRR0BnTN0YpCNTKlQRE+amh8goqebzyPNz1qyxKop4wYETlAj1RlnT\nVZIUxMqFwzmez2mESdmbKXyzNKmOmX4cxoC6IiFu073Ib1jkzzU2NJahFX2Re898uf3zRIDTbiq8\nP8YCulN+GfiiJ9fYu0/E1HGUs+2gyeXqvOzpQthfHNOC87rHZd1WlPaUImMOmX8cAHDghDIEs7jU\nyNxj2UZx0PA5mXz9wAlgYEPi45xryAeZIAiC2CUi4uN+OJaEDEyuiGBrPDXkxza07PZhXjh3o7US\nN4+VgTFbFPqAWwWQM+F0EDY0xJNBmDrHOxu3wUrY2RXWHlAeMfHJwE5Yto1t8RRSzrFMjWcsYFP2\nfikbHP6bJ+6oC8fCGJwxJ91DvOiPjrriS3owawyoibl5zLqziFEewtCEAFcpJCkg6RzM9YN2jaE1\nJw0DzBZRZ9v1SjY4d6vypc1bunhjnv/L3ttppfEYhDAO6hoSVhKATAUBmFPYJGXZ6ljOFIq2lLmz\nf24spl5yiqO475ffU+lV9phIUXl303YAbpU88e7MaLX7drnF9gh6Bp7mjy3HLd/7nUOnYtP2hD//\nOG3OTu0cjWNaa8VNmHMjNKN2z1xxyiMmjqivwqHTKmEB+MlTb2P5PzfggPFlKA8b7pGkspWXm3OO\n/AJaXEsnttXhthXv+47jPrVxqzx6U5U6xxQLcc+BYBZ3jnyCIsgEQRAFTm9vL5YsWYLe3t6hOQDL\nLEFdGjYxuiQ3FciGAhGJdD+sNS4WqBmam3sr7dnGlIZQHQvAdHKeg/q+O41MrYyifXSJkycqjl1b\nHMwaLZM5z+mOGd5obnqUVH7nEKLVTRtxo7xgwPhyN/dzXGkI0ypjCDjjqi0KYmZdMWpiAQR0rlIs\nOHcj797oscbc8sC6iuqKfQyNoSrqivEFUysyToQ3IsnSfveOSW7XOUNl1HQrGXIG3emHG3WX7hlp\nEfh0sc1coQzPd/E+d+dkWt1jnTPc4HGs+PKccWnRYn/0WIpdTUXZ/V1iGa95YszO69GA7uYUe86B\nV5iaThVFzvwFZXaH93pkEJHeGxY14ML5E33/TuRx0ufRM1K17+frqzKOk34qGICqmLtQT940Ta+K\nYcog6wryBYogEwRBFDC9vb3o6elBPB6HaZpYtmxZzqsQcvgfMRcC0lINcMVJ0OCIpywhuBzB56Wx\npgjxlIWkZSNq7ptI1pzcbEPjSFkpaJyhMpK9CAV30hsMzZ/P7S6Zs53+O1FP9T64bhBwBUsKQjSl\nR75Gl/j9iTlnCHINkyqEQFnx3iYknRwDmwN2CpDxP86ZyINmgGWJ6oJJZvv6VOOkKTDGcP6c8fjD\n39ervqkfbL8Ak1FJWe5aCX8myrKHDE1FrjkTTxIs20bSsmEzW1UB5JanxLZT4tuX6sBcIcyZnbUc\nN4AMsRk2XB/v0pCB9tElvrEAaRFz72u2PHfujYvGRClyWV7ctpEpon0/+0Up0n6TN6x7kqVwhHL1\ncPvPGcOEsjC8o2a+uK8r0G1fkN+9LjljOHx6FX73+icAgJu/2Kj2UaUaAVx68GScff9LAET+NGPi\nxirfoQgyQRBEAbN8+XLE43GkUinE43EsX74858eQlexKQtmt1vIRw6m8xyAcKTTG0FZX4vzuWK6l\nRcVNXVi5lYSMQe3r9pTJFRFfLm02TE1ERg3N7whiw1biXS7Ck1FlKfo0J1da425Otbab4w1G19hS\nJey90U/OAIM7FQU1hqKggbriIHTNderwRxpdK8MDJ5Y5r3mEvPyS0VFkCjzOhHWfZdtqAaVcZNg8\nqkilijAGVdExPfrpbdMf9XYXbbpRcEEg7XyHDA26xnDVYdNwzeHTVJTYNxiPrJXj8S54lOeOQebD\nu331R7TdPvsisD4h7//d1NmgT3A60vLxD51WmdGeOob3y9Mn33lj6f112zijawx6plRgXGkIo0tD\nnnbdwVdGTPRMqcDo4qB7jRXA7TZFkAmCIAqY+fPnwzRNFUGeP39+zo/BmMg7zvdFNemMLw1j3UDc\neWzP3YV6sDG+LOyrAphrqmMBvP6JKzqz0Ta6BM++uwkN1TGfqFUi18m15V6hBDEWg3Mn/9aGzjlS\nlg3bssCRmfu7J9QWBfFx/06kPCkCjDGYurCGkzdHOxIprN2yA4xZaZFOWbRFw9IvNYsFjqrfbq6x\nb9FaZngSGmcYVSRywj/aslNFjzkDikMG6qtjeGnNFhEp5wy6DSQtkWfO4DYnhJ0zFo3BTor2LQbI\n0KZXFLZU+6Pssqx5a22Riq77xuJDHJ9L8ccZLNu1DPSmXqjIcUZ2hBuZhUe8e0+l936EQeSRx9Nz\nQwD8R89kfOnOVep3EbX191+242aaO9FuG2qEShjbcozOvp7rUecM5x8wXsbLPZF7/9rN8+eMQwru\n+wrhT8lnXiD39fXhxBNPzHj99NNPxzHHHIO1a9firLPOytj+5S9/Gf/yL/+Ct956CxdccEHG9gsv\nvBA9PT149dVXcfHFF2dsv+yyyzBnzhysWrUKV1xxRcb2q6++GjNnzsRTTz2Fa2bmVT8AAB/xSURB\nVK+9NmP7DTfcgOnTp+PJJ5/EXXfdlbH9pz/9KcaNG4dHHnkES5cuzdh+++23o6qqCvfeey9+9atf\nZWy/9957EYvFcPvtt+OBBx7I2P7oo49C0zT89Kc/xWOPPebbZhgGHn74YdXPP/3pT77tRUVFuOee\ne9Q40/Mma2pqcOuttwIQ87R69Wrf9gkTJuDmm28GIOb5jTfe8G1vaGjA9ddfD0Ccp/fee8+3va2t\nDVdddRUAcZ7XrVvn2z537lxceumlAIDjjjsOAwMDvu1dXV34zne+AwD4whe+AMvy/4FatGgRzj33\nXMTjcSxevBjpHHfccTj11FML/tp74okncNNNN2VsH4prb8eOHQgGxWPcz/K1t2DBAnzjG98A4L/2\nWltbsXHjRhx55JHo7u7O2bUn533z9gRMjeObX/9qQV178aSFvh1JMCYKjdx5xx3QuIY//uZ/cM1v\nH0IgTSDn+u/epm0JMCZcAkqKi7Nee4mUBUPjvmvv5muvwksvvQjLtpW4qhk9FuddtgSM2Vh67eVY\n8+5biJgatu5MgTNg3ORpOOeS7yBl2bjh8ovwvU0f+/q3J9feF04/H5u2J3Dl187C1q0DkDnGJSFD\nXXtBQ8O3zz0Zm7fHYdk2dM5QFjaxaNEinHHW2Ugl4lh6yVke4SX01dxDF+GgI4/BtoEtuO6iLwMQ\naQ1yv54jj8OBh30BfRs+xnEXnAqNM2xPpLA9kYLGGP7tgvPROfZIbFzzPi49+zzVb9sWi8COPO08\ntM6ei3fefAN33HCVJydb9OGYc76BhpmdePOVF/GrH39f5WuXhg1wxnDUqedgYlkUb730HEb//TFc\n/VxAiUMbwL/++xUYM3EqXnhmOX5z1y/E2Dwi77xvL8HoMeOw4s+/x8P/fScs2xW5jAHfuu4nMIvK\n8OffPYw//+b+jGvr4h/8DEYwjGUP34vePzymAtTyhuKKW+4E4xy/u/cOrHpqGQxNzLtt28DfNwJH\nXiYaWvk/WPLcTYh8MqAW0d7xai2+9cOfAWD49dIf4vXVq3zHLqmoxEXfuwkaA26/6Xt487VXvMoZ\n1XVj8ZXLlwAAfn7dd/DB22/6xO/oiVNw6jfFv+db/vMSrFv7oZo3AJhY34wTv3oxNAA/+tbXMbB5\nI+Z2tuLCf/u3jHnIJz7zAtmyLHzyyScZr2/dunWX27dvFytbk8lk1u07duwAACQSiazbd+7cqb5n\n255IJPZrezIpbpe3bduWdbv8YN26dWvW7TIfa3fb+/v7M7abpptvt2XLlozt8Xhc/dzX15exXdfd\ny3LTpk0Z24uLi3e5fdSoUernjRs3Zmzv6+tTP69fv36X29etW4f+/n7fdq9oWbduHVKpVNbttm3v\n07VVKNfejh07hu3aSyQSMAzDt/2zeO1t2bLFt9177cViMVRViUUzubr25LynLBs7GSu4ay9p2dga\nT4EBsLbqsCwLlZEQ4tu3Y/26dRl5kLn+u5e0RKQu3s+QdPoO7P7a27JlM/o2rlcCmTOGaKxIPfoe\n2NKHzRvWI2Fq2BpPIaBzWNv7YWocO20LyW2Z1/6eXHvTqqJ44cM+9G3agK3O3zFTY4gbmu/a27B+\nPQZ2xmFZNjTOkBzQMTAw4Ig6G30b12cESHds3yail7aNzRtEjrIwdhB77ty+TeSmcmDDeiHe4ykL\niZSNiKnBSop/u5aVwpaNG2B7zodlA4n4DgAMqWQCfRvXA4ypCCxnDFYyDo0zpBIJbN64Xs1raquY\n91QyIfyFUwlYWzejL6H5oqzJhLi2EvGdon34BbKVTEHnDGGWxOaN65WAlMeRCx137tim3u/ePoh5\nYM48+Nt3Iu7Obju2DaBv43rozrwDALZ7bqTj29HXvx76jjiwI4GKiImtfZtUO9v6+z3HF2ia9FUG\nBrb0ifMnA/uMIRIrUnMx0LdZbZeUVlSpG4Fs27cN9Kv3b9m8EVs2rkff5s3Id5i9N8sgh5iOjg6s\nXLlypLtRUKxZswa1tbUj3Y3PFDTnww/N+chQ6PO+YWscz3/QB86Bniluqd4XP+zDxPIIYsH8ixGt\nWbMGxeVV+Ot7m9C/M4mApqE8YiCesjCwU9wQBXSOKZUR1BWHsCORQtDQsHFbHP9cvxU7khYOnFi+\nz8d/f9N2/HPDVqSctIJRRUE01Ph9qPt3JPHqR/3YuD2OooCOuc7xLMvGU29twEA86dwcyMWHYnEd\nZ8K+zdCEbZ1liwi6hDOG1rpiVDuuB5Zliyh1lnzwjdvieGvDVtg20L8ziZ1OqoG0w9Mdr+5oQEdp\nyMC6gTgSzgLMHckUNMYRC+o4YILIlf7Ly2/i9P99F2+u34bvHTEdTTUxaFwIepliIR0xpGiSqSxS\nrIcMDQdPqcRf3t6AhON9Z2ocDTUxrN2yAx/37/T1U+MclmXDdlIaEilLLGZ0csx1zj0Wf0DSspFM\nWWBMFO05YGI5LMvGzU+/ja8/8qqam4dP70DCsvDaJ1vRWBODBlEWXSy0tIWlndTlzriChoaAxpCw\nbCRTtrK90zlTaSG2eo+NeMpSNzze+ZBpLfL8AuJ9UmoaurA8/NykihH7+7KnWpMW6REEQRCfSoTb\nQ+YH3Yy64rwUx5JIwK1eyBgwsTwiKv0xpr7qisWCqKBTVa0kaKAyGkBxcP8WUgYNrhxAdM6U/6+X\nWFAX1fgY80VROWeOmGW+fFR3IRvUgjtZvMQ7pnTrMre9TMrCJtpHlyBs6mpuvLZpshR6Y3UM40rD\nGFUURCSgOfm9zMlLdzvPmFs0pCRkpC1kc/vvzQ1mvnG52dim5s6hqYsUldKQoRwc5LjTc3HlwjaZ\nny0XKMq5Yf5OqX43VLt2aXJMBudokjc2npxm1YaT0Cxfk84obv453POT5gbjWtS5baRvd/+PjMWc\nxiCVF/ONwuglkZXe3l785Cc/GTrvU4IgiALGhqgUpxXIB3I2ZCW+caVh4VjBs5dFliXAW/awcMRg\nJC0bBhfFWXRNFMvIhut64e+LdOOQgkyKaLkIjDM4hS6Ysrdz/aD3rq+MMYQNTfVVCT1HJGuOwDd1\njgnlYXSMKVUlrMUY/P3++oET8e1DpqAmFvA4XKQ7XzAl+n03B8y1k5teFYOpCZeUKY6VXnUsIKzr\nmLgJMTRh8ee0hPQzyuEu8BQ3FTLlwbN4zpkD7wLPuuKgT4y6UtV9Jf1orkh2z4es0iccVrwuKv6F\neN423POS9uXZiQEFYfEGkEAuWKT36fXXX4+enh4SyQRBEGkkUzZMne+Tq8NII0WLtHGTvsAcwNTK\nyO7evs8UBXQEDQ5TF+WxB3MuSaQsFbn1onG/eBOuIa5o1jjHmJIQDFWUhUNzvKB1zvfaKWV0SRBV\n0QACjkj2lqTOVs5YCkrGGCZXRD2vi2p5bsnybLKVOeLbdSbxRlPldRYL6qiKBqBr7s2MKB/OHYs8\nDlPjCGhukRYlwGXklUn3Dua7GXGj1m7fvDdMVy6cKjvmj+ymvUf125kr6XUu3VHkMcOmpkS6dOVQ\n0W/ZJvO26qSIOGFjOf/M89/4Mr9jSL5CArlAGQ7vU4IgiEJG5HkWRlGCdBhzfXU1lZMqxF1lNLDb\n9+8rkYCO1rpidIwpRWk4e4ETABhfFkbIEALX935Tpoe4/sxMiTAhumIBHYYm8l4NjSOga25EeS9P\nlaGJ6HDE1KE7glzjwl96YnnmjYRaMOfVdUgrLIPMCGj67yothLspHV5f7QnlYcysKxF2d55jBzQN\nRUENAZ2LKoaeqLQraMVcBHWOSEDzpaMAbpqK6rvnJkCkh3jGIdv0pLxk3oOItmuLgigOGdC5u6hw\namVU3XTIcynTMdJTPqTAd9No3Gi+9yvdPSZfyd8kLGKXDIf3KUEQRCFTEjKwPWFhTElwpLuy10hR\nZmqOfzOcn1l+rKs3NI6W2qKMKGttcRDvbtqmRKMhRWdKiKrioI6IqaFjTCne27QN8aQFjQPxpBDX\nZbsQ5buita4If3l7IzQnh1njDKVZCtvonCFpuQVGJLGAjv6UOxruFZkMovqcjB477YA5NnOOKEyv\nUJ6eCjOuNISKiIloQAdnwM6khRXvbUbKtlSFPQYheAO6honlYZSEDDz77iZHjFtqXr2Re8OTK+IV\nxHL5nBqDM66UU8VQOFWIvps6R0XEhGXbGNipYWfSQtQURXOChobtiZRqz2ayHYAxW1VDBDJvImRf\nWP74QewxJJALlO7ubixbtgyPPvooFi1alPPSsgRBEIVO0NAwobwwHudmwMT/ZJU9UxeCNGXlj9AI\npCvCNDhjCJkaEE8hzkUUfFRRUD12H1saxthScX4+2LwdsYC+11UAJcyZI2mtZziuDelETA2JlAVd\nY/BOZTSgg21z2oIUekzVsWbM9kRRmfqegu1U9ANm1BZnHtCDrnEUh1wxGzQ0kZJiCTGdtISsFaki\nUBF8+QREY0wJT8MzT9WxAK5YMAVFQUNFcpXNHDzimDFYTpEQxgALYj/OGKZURBA0NMQCOtbxOCyN\nYaaTbtI5pgRPv70RYG4p7yS3YFuidLfX81reQIhFhk5pbdsjyD1pIvlOYcS5iax0d3eju7sby5cv\npxxkgiCITxEMQhhXRgKq4l9A1xA28z+u5XWTmFlXrHJSTY0PKvBHl4RQvJ+lzFtri52UGi5ygLOI\n7eZRRdC46IuWRUF70xxUnrEjhmXagMjP5Sp3V6YcGHu7yhDOUwHIMuHuUwNv9HlGbTEaa4pURTzT\nsa+TlIdNdI0t9eWmM29+Bfyinjkb3fQXd8fSsIn66igmePKEuRONDxmigmPIcFJD0tMn4OYoG84Y\nRA69ez3IYxYC+f8vjRiU3t5eHHfccUgkEjBNE8uWLaNIMkEQxKcAxtyFUoWEylMFVCRX4wy6s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" ] }, "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", "fig = 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 }