{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] } ], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "df = pd.read_csv('../examples/example_wp_peyton_manning.csv')\n", "df['y'] = np.log(df['y'])\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(periods=366)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: Loading required package: Rcpp\n", "\n", " warnings.warn(x, RRuntimeWarning)\n" ] }, { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "library(prophet)\n", "df <- read.csv('../examples/example_wp_peyton_manning.csv')\n", "df$y <- log(df$y)\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, periods=366)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Specifying Seasonalities\n", "\n", "Prophet will by default fit weekly and yearly seasonalities, if the time series is more than two cycles long. It will also fit daily seasonality for a sub-daily time series. You can add other seasonalities (monthly, quarterly, hourly) using the `add_seasonality` method (Python) or function (R).\n", "\n", "The inputs to this function are a name, the period of the seasonality in days, and the number of Fourier terms for the seasonality. Increasing the number of Fourier terms allows the seasonality to fit faster changing cycles, but can also lead to overfitting: $N$ Fourier terms corresponds to $2N$ variables used for modeling the cycle. For reference, by default Prophet uses 3 terms for weekly seasonality and 10 for yearly seasonality.\n", "\n", "As an example, here we fit the Peyton Manning data from the Quickstart, but replace the weekly seasonality with monthly seasonality:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] }, { "data": { "image/png": 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168RYtUkL83DA3uk98WDHAMzJLMRd//0DpRebxB5LFBn7SjDq671o7+WIL0cn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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = Prophet(weekly_seasonality=False)\n", "m.add_seasonality(name='monthly', period=30.5, fourier_order=5)\n", "forecast = m.fit(df).predict(future)\n", "m.plot_components(forecast);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FPErIY/0EWCVK3Ufns06mlr/Rz29eN08ublOG/xcmFX73XOiDEtWa+Jye395e2MNzcYyP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\nGh44q4vnV5fzum64Ee0lifYSeznwy6v1KaWqKzn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u5nd+Ux0Qm1W94HjaT+O85/Ro7dF/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\n0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LxJzPP9w8/E7txbQjCPY9xg7h4wfnWlu/xmT2aE/4bUKenhbr3opNab6zoHLndqrnYN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\n7zgAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 9 -u in\n", "m <- prophet(weekly.seasonality=FALSE)\n", "m <- add_seasonality(m, name='monthly', period=30.5, fourier.order=5)\n", "m <- fit.prophet(m, df)\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modeling Holidays\n", "If you have holidays that you'd like to model, you must create a dataframe for them. It has two columns (`holiday` and `ds`) and a row for each occurrence of the holiday. It must include all occurrences of the holiday, both in the past (back as far as the historical data go) and in the future (out as far as the forecast is being made). If they won't repeat in the future, Prophet will model them and then not include them in the forecast.\n", "\n", "You can also include columns `lower_window` and `upper_window` which extend the holiday out to `[lower_window, upper_window]` days around the date. For instance, if you wanted to included Christmas Eve in addition to Christmas you'd include `lower_window=-1,upper_window=0`. If you wanted to use Black Friday in addition to Thanksgiving, you'd include `lower_window=0,upper_window=1`.\n", "\n", "Here we create a dataframe that includes the dates of all of Peyton Manning's playoff appearances:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "playoffs = pd.DataFrame({\n", " 'holiday': 'playoff',\n", " 'ds': pd.to_datetime(['2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "superbowls = pd.DataFrame({\n", " 'holiday': 'superbowl',\n", " 'ds': pd.to_datetime(['2010-02-07', '2014-02-02', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "holidays = pd.concat((playoffs, superbowls))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "output_hidden": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: \n", "Attaching package: ‘dplyr’\n", "\n", "\n", " warnings.warn(x, RRuntimeWarning)\n", "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: The following objects are masked from ‘package:stats’:\n", "\n", " filter, lag\n", "\n", "\n", " warnings.warn(x, RRuntimeWarning)\n", "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: The following objects are masked from ‘package:base’:\n", "\n", " intersect, setdiff, setequal, union\n", "\n", "\n", " warnings.warn(x, RRuntimeWarning)\n" ] } ], "source": [ "%%R\n", "library(dplyr)\n", "playoffs <- data_frame(\n", " holiday = 'playoff',\n", " ds = as.Date(c('2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "superbowls <- data_frame(\n", " holiday = 'superbowl',\n", " ds = as.Date(c('2010-02-07', '2014-02-02', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "holidays <- bind_rows(playoffs, superbowls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we have include the superbowl days as both playoff games and superbowl games. This means that the superbowl effect will be an additional additive bonus on top of the playoff effect.\n", "\n", "Once the table is created, holiday effects are included in the forecast by passing them in with the `holidays` argument. Here we do it with the Peyton Manning data from the Quickstart:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] } ], "source": [ "m = Prophet(holidays=holidays)\n", "forecast = m.fit(df).predict(future)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays)\n", "forecast <- predict(m, future)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effect can be seen in the `forecast` dataframe:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ " ds playoff superbowl\n", "17 2014-02-02 1.227333 1.190688\n", "18 2014-02-03 1.902392 1.468285\n", "19 2015-01-11 1.227333 0.000000\n", "20 2015-01-12 1.902392 0.000000\n", "21 2016-01-17 1.227333 0.000000\n", "22 2016-01-18 1.902392 0.000000\n", "23 2016-01-24 1.227333 0.000000\n", "24 2016-01-25 1.902392 0.000000\n", "25 2016-02-07 1.227333 1.190688\n", "26 2016-02-08 1.902392 1.468285\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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29012016-01-171.2266790.000000
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.226679 1.192500\n", "2191 2014-02-03 1.911294 1.373781\n", "2532 2015-01-11 1.226679 0.000000\n", "2533 2015-01-12 1.911294 0.000000\n", "2901 2016-01-17 1.226679 0.000000\n", "2902 2016-01-18 1.911294 0.000000\n", "2908 2016-01-24 1.226679 0.000000\n", "2909 2016-01-25 1.911294 0.000000\n", "2922 2016-02-07 1.226679 1.192500\n", "2923 2016-02-08 1.911294 1.373781" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effects will also show up in the components plot, where we see that there is a spike on the days around playoff appearances, with an especially large spike for the superbowl:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "output_hidden": true }, "outputs": [ { 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Aj70lIjxs4WpjDjsLMygNfBjWTKXEy12D8FKXQPyQnovPt5/Ga2uOYsqGLDz/gD/GdwmC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3pWpvw0MJgXwxtgVeP+87XVsTDh92FNeL+dB+tSLtN9bgLFpdITWJ39sOccm05kMzqiId3/b85O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\nEELUcS0bN2BtdFfiI904mXcJtzk/8UHSCZkCto6R4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MXdu9n+mp6efldfBIuLizExMcg/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\nQEAAvXr1Ii0tjbS0NH7++WeUUkRERLB161batm0LlE1Z9fjjj7NgwYIKM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.plot_components(forecast);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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obM1E36jsRip2et/dfOKDX08MzIh9fEiGBufCMCq7Xhe+iUVJScl///vfv/71\nrxH/bMMW5oBZv5x4ed3RV2/IuqN7yoXfHQnN+bLnbi96fs2R+aO79m2jXVVmKMwaQmHWTIstzAEV\nbt/7W068u/lEp2Tr40Myrumo4jQPKMz1uvDlUvHx8R9//PGBAwfUC8KYfj+g9ZyRXf7+3aGpqw/7\nZEOfcp6z7eTza44sHNNN46oMANEnThIfH9L218n9b+2W/MdvDlz7wY4v95XSHXYTBervyh49evSK\nFSuGDBlit9sDr0Rk5i/1dkjNZrMoik5nBM6UHKv0TFiw22biPxjZLdlmav4CG2CxWFyusAdffLDl\n+P99f2jx+F69W+tQlU0mk9lsJndI1LRU6yuCrVpLFFNtMpkkSaqqqtI7kPCokWqvX16Ye2r6+qMK\nY48PaTe6V6pJiOT9Bcxms8lkwgYkmCzLiYmJwa9oOvMXicLMGHP75D9//dv3B8rmjO6h6iFpE77s\n9385/s81h5aM792rtV2lqBqGwqwZFGbNoDCHkBXlq70lr/94pNjpfWRw2wn92lgjdPsfFOa66hbm\n+ufKnjdv3ltvvVXzdOLEiREpzDWXYEWcKIqyLEdq+Txj/7ox66Nttls/2vHP6zLH9k6LyGLrMpvN\nYcX83pYTr/549PNxPbomh/cPI4jneUVR9Pr0Jgs31UYgCALP8+TCpphqjuNMJhO5sFVN9U058Tfl\n9Pr+YPn0DQWvrj3ywMA2k/q3ipPqLxmNx/O8IAhIdcNCs9y1a1fG2JEjR1avXh14xefzJSRE7S0f\nGjChb6vuqbZJi/O2n3Q+f037yPbnNMH/tpz4148Fn4/r0V3DceMA0JJdnRV/dVb85sLK6RsK3/jp\n2H39Wz9wcesUlc/xQWhXdmDg9OTJk4OPmBMSEkSxuTtKzPCjsutV5PBO+nwfY+z9O7uk2SPcHBs/\n0m/WLydeX1/w+bjuWl7NVS+MytYMRmVrpoWPym6k3aec0zcUrvyt7K7eaZMHtmkXLzVhIRiVXa8L\njMpOSUlJSUlZsGBBSpCIVGWi0uymxeO692odc+37OzYX6LOJfHfz8X9vKFhsgKoMAC1W91Tbf2/r\n9P2k3i6v/7JZ2x5Ztj9q7jVgNDp3z5JgEvhp13f4+5Xtxi7Y++HWkxp/+ts/H5+xsXDxuO5dUZUB\nQG9ZiZZ/D8v+6YF+CZIwdPbO+z7ft/0EsQ4S40NhbqyxvdM+H9f9PxsLpyzf78etkBMAACAASURB\nVPFrdIXfm5uOvbnp2JK7e3RJQVUGAKNoE2t+4boOWx7q1zXVNurT3aPn71l/hFjvtJGhMIehT2v7\nd/f1PnzafevHuzS4N8vMnwrf+fn44nHdOyVH4U1EAIC6JJvpL5e3+3Vy/ys7xD/wRf6wObkrfyvD\nxCTNh8IcniSruGBst0vaxV73wY6NR1XcQ/zPxsL/bj6x5O4eqMoAYGQxZuEPl6Rvmdx/dI/Uv317\n8Kr3tn++u9hv7MkTDQ6FOWwizz13TeaL12fds2jfrF9OqPER0zcWvrflxBfje2QnWdRYPgBAZEkC\nd2//Vj890O+RwRnTNxQOenfbnG0nNTvrF2VQmJvo9m7JS8f3+O/m43/48jeXT47gkl9fX/jBlhNf\n3N2jYyKqMgBQIvLcyB4pP/y/Ps9fmzl3+6kBb//69s/HHR6/3nERg8LcdN1Tbd/e16vE6R32Ue7R\ncndElvnajwUfbTu5dHzPLFRlAKCJ49hNnZO+mdjzzVtyVh043f/tra/+WFBWTe+G93pBYW6WBIs4\nb3TX67ITrvtgxw8HTzdzaS+vOzp3R9EXd/fITGjKlfsAAIZyeWb8orHdPh3dNfek46K3f3129eET\nlZE5holuKMzNxXPc365s/+9h2b9bkj/zp8Imj0h8ae3R+TtPoSoDQJTp1ybmwxFdvp7Q85TD23fG\npoeX7D58GuW5ISjMkTGsc9LyCT0/2XHq91/kNeGEyj/XHFmQe+qLu3u0b9IsdwAABtclxfbmLTk/\n/2GgwHNXvrf9oaX5e04Ru3OaZuq/7aNKKM6VHZZKt/8PX/12qMw1bWiWzy8zxio9sqwoDo/sleVq\nr+z2ydU+2eNX3D652ivzolha5Sp3+w+WVi+5u0fT5p7VGObK1gzmytYM5srWTGCu7N+Ol7zz8/EP\nt54c0j7uscHpAzJi9Y7rAjSeKxuFOcIUhU3fWDhve1GsJPAcs5sFk8DbTbzIczYTbxZ4s8DZzILA\nsRizYLNIZs4vcNy12QmtY8x6x94oKMyaQWHWDAqzZoJvYnHa5Xtvy4n/bj7ePc3++OD0K7OMexvD\nvNP+6uozE4P3aRMT8eWHFOam351i4cKFmzZtYow5HI6LL7540qRJjLHi4uInnngiLS2NMTZlypSM\njIzmRUsPx7EpQzKmDGnUilP8XQEARESCRfzjpW0fGpg+Z9vJR5ftbxVjfmxwxk2dE3mO0zew7cer\nQl6xWjWd6CkCR8xvvvnmiBEjWrduzRjbvXv3zp07x4wZU+87W8IRc1goFmYcMWsGR8yawRGzZs53\n20ePX16YWzxjY6FfVsb2Tn18SFuRV7c8162+DbBarTSOmAMOHz5stVoDVZkxVlRUVFhYOHPmzJ49\ne1599dWBFzds2OB0OiVJ6tu3bzM/7nxEUeR5XpIInKMNJggCuZiRas2IokgxbIoxo1VrxmQy1Ztq\nibFJA9tNHNB2ye5TL35/8MOtRXf1bjWsa4oknhmh3De9Keehtx07736t2RzG2UOe52veH/Gc+3yh\nV3g3tzAvWrTo/vvvr3lqtVp79uzZv3//6dOnJyUl9enThzH27bffnjx5MiEhYdCgQc38uPPheZ7j\nOIuF2KQcgiBwenfahIvneZ7nkWoNoFVrBq1aMxdM9d0D2o+7qP03+049syLvw20nxvZpM6JXa7tZ\n2F3clCuswqq+DQj8GAOPI95O3O7QVWtWV3ZVVdX06dOffvrpun9avXp1SUnJqFGjgl9EV3YIoj1R\n6MrWBrqyNYOubM2cryu7Xh9vK5q3/eTe4upbuybd2T013iKoHd75aNyV3azrmLds2dK7d+/gV+bN\nm7dt2zbG2JEjR9q0adOchQMAQEs2vm/a8om9Xr0x62i5555Fe9/adKzIofr9do2gWV3ZmzdvHj16\ndOBxXl7eihUrxowZ8/rrry9atCglJWXw4MGRiBAAAFquET1Sc5KsR8vd83eemvR53lVZCWN7p7WN\no3F9adPgOmY9Ee2JQle2NtCVrRl0ZWsmrK7sENuPVxU5PAtzi7/JLxvYNnZc7zTNboxLqSsbAABA\nG33axKTZzX+4JP3jkV0z4sx//ObA3749mFsUhfN6ojADAAANgaPVeIswqX/reSO79mplf271oSnL\n9/9cWKlh56/qmnu5FAAAgGb6tIkJzA1iM/N39U4b0SPl67yy/2wojJWEu3qlXd4hTveJw5oPR8wA\nAEBJ8Fles8Df1i35wxGd7+yW/OG2k5MW532TX+qVZR3Daz4UZgAAICZkBJbI80M7Jf3v9k7/76LW\nS/eWTlyU9/nuYrePanlGVzYAANBT06ddg+e4yzPjL8+M33Ksct72U3O3F93ZPeW2bskxZt1mJmka\nFGYAACCpbm0OuCg99qL02N1Fzk92Fi1YWHxL16QR3VMSrWTqHbqyAQCAqgauKu6eZnvh2g7Th3Us\ncngmfLZv5k/HTlbRmDgMhRkAAAhreMaPrETL365o/+5tnXyy8v8W572y7ujh0y7NYmsaFGYAAKDt\ngrNxpceapwzJ+HBEl3iL+Miy/c+uPryv2Lgzk6AwAwAAeY2ZKTPZZnrg4jYfj+jSMdHy15WH/rLy\n4Lb6TlHrDoUZAACiQSNnsY6ziBP6tZo7quuA9Jhpa48+umz/hiMVhpo4DIUZAACiROPvMGE18aN6\npn48quvQnMR3fj5+/xd5qw+c9suGqM8ozAAAED3CuvuTieeGd0mafWfnu3qnfbKj6N7P9321r9Sr\nd3lGYQYAgKgS7p0ZeZ67pmPCf2/rPHlg+sr9ZXcv3Lsw91S1V7eJwzS9H3PN/SwjThRFnuc9HhrX\nqNUwmUxer1fvKMIjCIIoim63W+9AwkMx1WjVmkGr1owgCIIgaNOqtxY25a7PjLEtheUf/3pib1HV\nyN6tR/ZqFW8RRVH0+XyBv/bLiItcjIwx5vV64+LOWaamhbm4uFilJVutVlEUcUt5DUiSZLFYcEt5\nDVgsFpPJhFatAbPZbLVa0ao1IEmSJEkVFU0smeGqd16wRsordn6yo3jLscphnRPvGdDOzvsDr4d7\nON4YKSkpwU/RlQ0AANGpOUW0c4pt6jXt3xieU+H2j523498bCo9VatR9hcIMAABRq5kHuO0TpCcv\nb/fx2F4izz3wRf6LPxzR4NwzCjMAAESz5nc+t46VHhmU/tGILt3T7FaT6nUThRkAAKJcRE4MJ1rF\n27slN385F4TCDAAA0U+NQVsqQWEGAAAwEBRmAABoEagcNKMwAwBAS0GiNqMwAwBAC2L82ozCDAAA\nLYvBazMKMwAAtDhGrs0ozAAAAAaCwgwAAC2RYQ+aUZgBAKCFMmZtRmEGAICWy4C1WWzyv1y4cOGm\nTZsYYw6H4+KLL540aRJjzOv1zpgxo6qqKjMz8957741UlAAAACrp0yamOXdujrimHzGPGjXqtdde\ne+2113r27Dls2LDAiz/99FN6evrUqVOPHz9+9OjRCAUJAACgIkMdNze3K/vw4cNWq7V169aBp/n5\n+dnZ2YyxrKys/Pz85kYHAACgCePU5qZ3ZQcsWrTo/vvvr3nqdDqTk5MZYykpKQ6HI/DihAkTCgoK\nUlJS5s+f38yPawDHcWazWb3lq8RisegdQtg4jgt8y7QQTTVatTbQqjVj5FRfk5y85ejpev9U80tM\nTk6I7IdWV1eHvNKswlxVVVVdXR0bG1vzis1mKykpyc7OLikpSU1NDbz46quv+nw+QRBOn65/hZtP\nkiRRFGt2BaiwWq11vxKDM5vNkiRVVlbqHUh4KKYarVozJpPJYrGgVWvAbDabzeaqKgOd0A2RHcu2\nHQttCRaLxeVyBR5HvI7Jsmyz2YJfaVZh3rJlS+/evYNf6dSp06FDhwYOHHj48OEhQ4YEXmzVqlXg\nQXFxcXM+rgGKoiiK4vf7VVq+SijGLMsyxbApxoxUa0YQBIphU4yZRKvu1coWMhZMURRZlgOPNQi+\nWeeYN2/e3Ldv38DjvLy8mTNnDho0qLCw8JVXXklLS2vXrl0kIgQAAGhBOEVRNPsw9Y6YrVarKIrk\neqLsdju5jkpJkiwWS3l5ud6BhIdiqi0Wi8lkQqvWgNlstlqtaNUakCRJkqSKigq9A7mw4IPm4LMG\naowRS0lJCX6KCUYAAABC6ThIG4UZAACgHnrVZhRmAACA+ulSm1GYAQAAzkv72ozCDAAA0JB+GXFa\nfhwKMwAAwAVoedyMwgwAAHBhmtVmFGYAAIBG0aY2ozADAAAYCAozAACAgaAwAwAAGAgKMwAAgIGg\nMAMAABgICjMAAICBoDADAAAYiKjlh1mtVpWWbDKZeJ5Xb/kqEUWRYsxItTZEURQEgWLY5GIWBAGt\nWhto1XX5fL6QVzhFUVT6MC0tW7Zs3759TzzxhN6BRL8NGzZ8/fXXL7zwgt6BRL+VK1du27btySef\n1DuQ6Ld58+bPPvvspZde0juQ6Pf999+vX7/+6aef1jsQQ4uSruyqqqqysjK9o2gRqquri4uL9Y6i\nRaiqqiopKdE7ihahurr61KlTekfRIjidTrTqC4qSwhwTE5OYmKh3FC2C1WpNSUnRO4oWISYmJjk5\nWe8oWgSr1Zqamqp3FC2CzWZDq76gKOnKBgAAiA5RcsQMAAAQHTQdld1MTqdz2rRpPp/PZrM9+eST\nPM/PmDGjqqoqMzPz3nvv9Xq9wU8dDsdLL73k9/vT0tIee+wxjuP0Dp+ShlMdeM8LL7zw5z//2WKx\nhGRez7gJCivVIW+WJEnX2IkJK9WBp9u3b1+1ahVGlYYrrFTLsjxr1qxTp07FxcU98sgj2FYzxoRn\nn31W7xgaa+XKlcnJyY8++mhhYWFxcfGJEycURXn44Ye//vrrDh065ObmBj/95ZdfUlJSHn744Q0b\nNqSkpOCsRlgaTjXP83//+9937tw5atQoURQ3bNgQ/Nf4+Hi9w6ckrFSHvDk7O1vv8CkJK9WMMafT\n+cYbb8TExAwePFjv2IkJK9WbN2+urKx8+OGHPR6P2WyOjY3VO3z9UerKzsnJueqqqxhjsbGxJpMp\nPz8/sGHKysrKz88PeZqamnrkyJHS0tKSkpKEhAR9Iyen4VTHxMS8/PLLvXr1Crw55K/6RU1SWKkO\nebNuQdMUVqoZY7Nnzx45cqRe0ZIWVqp3797t9/tnzJjhdDpbt26tY9jGQakwd+nSJSUl5eeff16/\nfv3AgQOdTmfgODglJcXhcIQ8zcnJ2b9//6uvvioIAgpzuBpONcdxgQkZAm8O+auecRMUVqpD3qxr\n4PSEleqff/65VatWmZmZuoZMVViprqqqOnHixNixYzdt2rR161ZdAzcKSoVZUZQFCxb8+OOPTz/9\ntM1ms9lsgevhSkpK7HZ7yNMFCxZMnDhx2rRpffr0WbNmjc6hU9NwqkPe3PBfoWFhpTrkzXrES1hY\nqV6yZMmuXbveeOONnTt3rlixQo94CQsr1Xa7/frrr09LS7viiiv279+vR7yGQ6kwb9y4saqqasqU\nKTExMYyxTp06HTp0iDF2+PDhTp06hTz1+XyyLDPGZFmuO+EZNKzhVIe8ueG/QsPCSnXImyEsYaX6\nxRdffOaZZx5++OFevXrdcMMN2kdLWlipzsnJCZwCO3DgQKtWrTQP1ogoDf766quvcnNzf/jhh+++\n+06SpMGDB69atWrdunVpaWlXXnllenp68NPMzMzZs2evWbOmvLz87rvvDozmgEZqONWB93z//fdX\nXHGFKIohmdc3cnLCSnXIm9HRGpawUh146nA4duzYgcFf4Qp3A/L1118vW7ZMUZQxY8bUdHG3ZJhg\nBAAAwECwbwIAAGAgKMwAAAAGgsIMAABgICjMAAAABoLCDAAAYCAozAAty0svvTR9+nS9owCA80Jh\nBgAAMBAUZoDo5/F4HnzwwczMzIEDB+7YsYMxVl5ePnz48LZt2+bk5KxatUrvAAGgFgozQPR77733\nDh06lJeX9+WXX/7444+Msblz5yYmJh49evTtt99eunSp3gECQC0UZoDo98MPP0yePFmSpFatWo0e\nPZoxNmTIkHXr1v3jH/+IiYnBKWcAQ0FhBoh+PM9zHBd4LAgCY6xv375bt27NyMh49tln77zzTl2j\nA4BzYK5sgOj37rvvfvnll4sXL66oqBg4cOAjjzxSXl7u9/uff/75Y8eOde7cuaKiAjcPADAI3HMJ\nIPrdd999W7du7dKlS2pq6j333JOYmHjrrbeOHTv2ww8/NJlMM2fORFUGMA4cMQMAABgIdpMBAAAM\nBIUZAADAQFCYAQAADASFGQAAwEBQmAEAAAwEhRkAAMBAUJgBAAAMBIUZAADAQFCYAQAADET1KTkd\nDodKS+Y4ThRFr9er0vLVIwiC3+/XO4rw8DzP87zP59M7kPBwHMdxnCzLegcSnsB9Jig2EkVRyE0m\nKIqiLMsUGwm5FsIYM5vNXq+XXCNRO9t2uz34qeqFubq6WqUli6IoSVJFRYVKy1eP3W5XLy0qkSTJ\nYrGQC1sURUEQ3G633oGEJyYmRpZlctm2WCxer5dctYiLi/P5fOQaCcXNCGPMZrNVVlaS2w1SO9sh\nhVn1ubLVWxme581ms8vlUmn56jGZTOQO9AVBEEWR3MYrcLtDcqXCZDIpikKuf0IQBFmWyR0Mmc1m\nv99PsZGQ24wwxqxWq8vlItdIVM221+uNi4sLfoVwV7YoiqIoqrd89djtdnJhS5LEcRy5sEkfMTud\nTr0DCQ/RI+ZACyHXSChuRhhjFovF6XRSPGLWMtsY/AUAAGAgKMwAAAAGgsIMAABgICjMAAAABoLC\nDABQq6DcPfGzfXpH0YK8vr5w2b5SvaMwFtVHZQMAEFJS7dt5kt5oZ7r2l1bbzThEPAfSAQBQi9wl\nttTJSHgdKMwAALVQJTSGhNeFwgwAUAvHbxpDwutCYQYAqKXgEE5zyHgIFGYAANANqnJdKMwAALXQ\ns6oxjLarC4UZAKCWgr5sbSHbdaEwAwAE4fQOoIVRFPRShEJhBgCohSKhMXRl14XCDABQC1VCY0h4\nXSjMAAC10LOqOZw8CIXCDABQC2O/NKYwBb3ZIVCYAQBqoUZoDAmvKwJ3lyorK3vppZd4nk9LS3v8\n8cc5Dv0SAEAVyoTGkPC6InDEvHLlyuuvv37atGlut3v//v3NXyAAgF4UBT2rmkKy64rAEfOVV14Z\nFxdXXFxcUVGRkJDQ/AUCAOgFZUJjGGxXVwQKc+vWrV0u18svvyyKot1uD7w4YcKEgoKClJSU+fPn\nN/8jzofjuOTkZPWWrx6LxaJ3CGGjm+2YmBi9QwgPx3GKolitVr0DaRE4jjOZTDWNJLZU4XmeRFMn\nuhlJTEwMfsVkMttsNuMnXL1sV1dXh7wSgcIsy7IkSa+88spbb721fv366667jjH26quv+nw+QRBO\nnz7d/I+olyiKNputoqJCpeWrx2q11v0mDM5sNkuSVFlZqXcg4REEQRAEj8ejdyDhsdlssiy7XC69\nAwmPJEler1eWZb0DCU9MTIzH46lpJFVVVbIsq7fhihSKmxHGWEJCQkVFRXAj8Xi8LpfL4AlXNduy\nLNtstuBXIlCY33jjjaFDh3bt2jUhIYHnz5y0btWqVeBBcXFx8z+iXoFRZn6/X6Xlq0dRFHJhy7JM\nMWyO4ziOIxd24DQnubBlWZZlmVzYiqIEh+3z+xUKGxaKLSTA7/cHF+aQ/BuTxtmOQGG+4447Zs6c\nabFYYmJiRo0a1fwFAgBAC6FgUs46IlCY27Vr98orrzR/OQAAukOR0BgSXhcmGAEACMJxKBVaQrLr\nQmEGAKiFflWNKQpugR0KhRkAoBZKhNYwWWQdKMwAALVwwKwxJLwuFGYAgFqYiEpjyHZdKMwAALVQ\nljWGucnrQmEGAKiFIqExJLwuFGYAgFoYIawxpLsuFGYAgFoKZqLSFrJdFwozAEAtVAmNKch5HSjM\nAAC1cPymMSS8LhRmAIBaOMesMSS8LhRmAIBgHAoF6AuFGQAAdIPRdnWhMAMA1EKJ0BgSXhcKMwBA\nLRy9aQz5rguFGQCgloLJsjWGm0vVgcIMAFALRVljioI7P4ZCYQYAqIWubI0h33WJan+A1WpVack8\nz3Mcp97y1SOKIrmwRVHkeZ5c2PxZegcSHlEUZVkml21RFAVBkGVZ70DCIwiC2WyuaSQms5nEhoXi\nZoQxxnGcxWIJ3vvheM7466JqhD6fL/TjVPqkGi6XS6Uli6JoNpvVW756eJ4nF3Zgy0Uu7MD+hMfj\n0TuQ8ATKG7lsS5Lk8/n8fr/egYTHZDJ5vV632x146vF4ZYVA8in+HhljNpvN7XYH7735/bLP5zP4\numicbdULs3r9QoElE+13QtjaQCPRmELz5rrBYct02gyJIOsKaSQKkUuZtYyQWBcfAICqjF8hogwS\nXhcKMzTRaZfvr98e0jsKgMhDpdAYEh4ChRma6JTDu3j3Kb2jAIgw1AjQHQozNBF2ciEqoWFrDPmu\nC4UZmg6bMABoJmxG6kJhhiZSmIL5eiD6YCwS6A6FGQDgXNjjBF2hMEPT4dgCAJpJYYqCE83nQmGG\nJsJNeCA64XAZ9IbCDE2HugwAzYT9+7pQmAEAapGYHhKiGwozNJGCXV0AiARsSUKgMEPTYcgGADQT\nqnJdKMwAALXQkw26Q2GGpsP2CwCaDxuSECjM0HT4OQFAM2EzUhcKMzSRgglGIBqhUYPuLlyYZVnW\nIA4AAINAaQZ91V+Yv/vuu8cee0xRlNtvvz0uLu6DDz7QOCwgAdsvAGg+9L2FEOt99YEHHnjnnXc2\nbtzocrn27dt35ZVX3nfffedbhNPpnDZtms/ns9lsTz75pCRJqkULBoIpOSEqoVGD7uo/Yna73ddd\nd92yZctuv/32jIwMr9fbwCK+//77Pn36TJs2LTs7e+3aterECUaE/VwAaCZsROqq/4i5T58+EydO\nXLt27datW5955pk2bdo0sIicnJzk5GTGWGxsrMlkCry4ePHiiooKm802bNiwiAcdwPM8x3FWq1Wl\n5atHFEVyYYuiyPN8cNiS5Dd+/vmz9A4kPKIoyrJs8NzWZTKZBEEgNypFEASz2VzTSERRVBRm/ORT\n3IwwxjiOs1gswfv0HMeZTCaDr4uq2fb5fKEfV+/75s6dO2/evCeeeCIxMVEQhE8++aSBhXbp0oUx\n9vPPP69fv/6ZZ54JvHjy5MnS0tLY2FhBECIReT0ChVm95auHYth1s83zgsKYwVeEaCPhOI7neaJh\nc9TuzhSSbSpthkSQ9RIEIaQwG39dVI3Q7/eHvFJ/YfZ4PJMnTw48njp1asMLVRRl4cKFBQUFTz/9\ntM1mC7z44IMPBh4UFxc3Pd4GiaIYGxtbVVWl0vLVY7fbHQ6H3lGER5Iki8USnG2n06kozOD5F0VR\nEAS32613IOGJiYmRZdnpdOodSHgsFovX6627lTG4uLg4t9td00jcbreiKAZv2IzmZoQxJkmSw+EI\n7lbx+2WPx2PwhGuc7fq7+AYMGHDHHXd88cUXHo/ngovYuHFjVVXVlClTYmJiIh0eGBpODkH0QasG\n3dVfmA8cOPDAAw8sWLCgc+fOU6ZM2bZtWwOL2L59+7Zt25566qm//OUvGPzVcuAOFhCt0LY1hnSH\nqL8rWxTFG2+8cdCgQXPnzn3qqac++OCDjh07zpw589JLL6375oceekjlIBvik5VHvvrtrVs6ETqx\nNXPDkd4p5gEZsXoH0hTvbTnBGCt3+a/PSSAxKrvS7X9y+f7pw7L1DqSl+GxXsc3E39Q5Se9AwvPW\npmOnnN5+bYh1+03+8rfpwzqaBWLDGyvcvmdXH/b6lVdu6Kh3LEZU/9c5d+7cW2+9tVevXrm5uV99\n9VVJScn//ve/CRMmaBxcY1R75UW7in2kBoKuO1iWV1KtdxRN9NPRivk7itYdLmdE9nNLq71L95bo\nHUUL8uuxqu0n6J37XH+kYt62k1uPG/pMZwhFYQtzTzk8lLZ+ASVO35d7Sz/fXVzu9jFMg1pH/UfM\nq1evfvjhh6+55hpRPPOG/v37v/jiixoG1lgUO51kys1QVphfYYpC4miZMUyEojmizVtWFFlhjFSR\noLj1C1DO/McxxhSmEOrv1Eb9R8yzZs1q3759bm7utm3bNm/ePHz4cMbYmDFjtI2tUc78lvQOIyyk\nS4USVJNJrAXROkEYza2sopzZmDAiDZvVbP2ohBtElhV2ZmNCe3uokvqPmKdMmbJ8+fITJ07069dv\n9+7dDz/8sMZhNR7Fb5R0qVAYp5x5QGOHnUCI0YVo85ZJ7W4GUCzJAYG4Zarhq67+I+aVK1fu2rVr\nypQp//rXv7Zs2ZKbm6txWI1HsWkSDLmWwhT5bEEmsSIKid2HKKIoNPbYQnGcQqRJ1yAV7DnOHCgz\nhVFeC/XUX5hPnz7NGBs4cODatWszMzMPHjyobVRhCJylYIxS75lCuS3S2nIxsgdwdJGsykFd2YTi\nP7P1I3ju4ExJJpRrbdXflX3nnXfecsstc+bMefLJJ4uKilJSUjQOq/EofrP0Ig4iK0w+c2aIxnoQ\nCjU6yDK9vTcW2F0+21CohK+QPT0b2IzUPKW4GVdV/YV55syZu3btSktLmzVr1qpVq958802Nw2o8\nhergL1oh1wp0Zdc+VYy+v47fvMaIJlyWFXKdKwq1YeTBAtlWCF3goaHQwjx9+vSax6tWrWKMxcXF\nrV+/PicnR9O4Go3cb4lR240IoShndtTPPGUKZ+zzCDLRQkEW0aM4JdBUSJUJilu/AAUjvxoUeo7Z\n5XK5XK6ff/759ddfLygoOH78+IwZM4x9jpkxakPAZLq/p8Dlnoyx2szrGUxj0GobUYDoBldR6J3x\nPNvxTixsxpgs1xwx6x2KIYUeMT/11FOMsYEDB/7yyy9paWmMsSeffPLmm29+9tlntQ+uMSh+rwRD\nrqWcPcdMBbmhttQpzPCnN+ojK4wx7mznMI0WQyTMeihMYYxjNUPAyK6IP0wsiQAAIABJREFUSuof\nlX3ixImEhITA49jY2KKiIg1DCo8cOGFL6nul1V0WIqTOGX89SM3WGg2Itm2FnTnHTCh8ugedytnB\nXwRj10L9g79uvPHG22677aGHHuI47t13373hhhs0DqvxKDZKon19AUrNf7XHFoY+PKK340acQueI\nM9jZK2spoRVtMCUw+Rdq83nUX5jfeOON9957b968eTzP33LLLffdd5/GYTUercsbahDccNWSSR0x\nG3y/ISpRaBWhlDP7cGcek0Ar2mDBZ/Q54ttDNYR2ZQ8YMODQoUPjxo1btWqVz+fzeDzffvvtuHHj\ndAmuMSh+oZTHfgVGrlKa3Yl0tiki2iF0bicQDWQCrUMOOq9Mdy3UE3rE/Kc//SkpKenxxx/XJZom\noPMjqkV0yxVQ53JPox+Pkp5njSKie0IUoya3J1Ej6HpLkplXW2hhXrJkyZIlS+q+77LLLtMknrCd\nndqN0ndL8GRWrTN1jqt9anCkmkY0IDrI9my3MKUh5XQ3IxiS2bDQwvy73/1OlziajO4mgKiamXqo\nrMXZCzNAI0TaRSiKB/p0zzHX7tmTjF51oYX5uuuuY4wpirJixYo1a9b4/f6rrrpq2LBhesTWKLgf\ns8bOmbLnTJE2dNnDvrnGaHVf1QgOmsoaUNyZCDj3kktKvRTaqH9U9nPPPbd8+fLx48dzHPf8889v\n3ry5yROM2O32pkfXIJ7neZ63WCyMMZvNZpfqXxcDUhiTJEm9zKhBEARBEOx2O8fzjOM4jrdarYwx\nq9VmMwt6R3dePM+LJreiZjtUgyiKiqLQipkxJgiCKIq8IIomkVDwgiBIksRxHGNMFE0mk5njOOPH\nbzKZrDYbC2z97JLe4TQWx3E2m02yuANPrVYrz/Mmk8ngCVc1Qq/XG/JK/cVszpw5O3bsCMQxadKk\nfv36NbkwOxyOpv3DCxJFURRFZ3U1Y8zhcPI+45aHELKiuNxu9TKjhsCWy+Fw+Hx+WZZlWXY6qxlj\nDqdT8dY/TY0RiKLo8XiZmu1QDTExMbIsO51OvQMJj8Vi8Z4hEEq4IAhut9svy4wxr9fr8XgURTF+\n/Ha73eFwMsYcDqeD9+kdTmNZLBan0xnYbjPGnNVOWZa9Xq/BE26327WM8LybVO5s3wLPG3ezy2h2\n5hDt6wsInl2EBJnyvbwootU8apzZknAco/MLpbj1CzinKxu/0DrqP2K+++67r7322gkTJnAcN2fO\nnDFjxmgcVuPVjqWkg3SpUEImGDH8itBqG1GAaLqDLqslswZ0B38FDVPRMwzDOu855ksuuWTNmjWM\nsaeeemr48OGaBhUOil8roV9+XWfnJlcCQ76MvyaEL02jiWjCKV4TTCnWcwUf69NdC/XU301dVVXl\n8/kuuuiiiy66yOFwzJ8/X+OwGu/MlJykvltFYXRHISpKyBGzfqE0Dt3uPqKIppviMdzZrR+diM/C\ntF8Nq/+IeeLEiSdPnuzXr1/NK2PHjtUqpPAQbJPEZ/5SFFonEelEGiVkmndPU+r83/gIpvmMkBZC\ndj3UUn9h3rVr1549eww+7CuAYtOkuNmqETSlcOCp0deF9FXjFBHNNsWwz857qHcc4aPYP6Gl+ktv\n3759Dx8+rHEoTUPxpp60jjhDKIoiK5R+V4YPMNoQ3ROqKXKEYqfb96YYe1Yi3YUeMY8cOZIxdvr0\n6ZycnMGDB7du3Trw+qJFi7QOrXEotkyKMdeoGVJOpdOP0I2wogPRk/oUixzhUdlnGwnp7kP1hBbm\nmvtKNXlGEY3Rmrc5gHSpCBwOEfo5kQk0Wig0c352dzMQO43jOUI/wxDKuY/JrodaQguzYe8idT4k\n93P1DqA5FOXcSx0MvzIyyaFIhBFNd+04YTrhU9z6BdRsQ8iugboIDO9qGMXbPsoyrXjPIZ+5jpnM\ndZ+GDzDaKIyjmHM5aEgjFYQ73qgGrhH6hflMzxONrqcapJvlOcEbPvN0R66CXqg0FsrnmM95QHcP\nQyXRUphJodsBxepMyWl8FFsIaWQHf9EbjkQm0DqCKzGdfGuHfGEmMkojqihB49eM/6MyfoTRh+4B\nEFqLNs69iQWSHop+YWaMUfs5Ub6HReitYKhsgqnEGQWItm2lzgMqiCY8AD/MepEvzERPURCuzOde\n7mX89aByZB9N6GZbYQpH5+d5di4BGtEGC5mhiEi+tUO/MDPGGONI9WgrSu3trskhVJIDgm6zC1og\n0i7Oi1D8VH6DdZ3Tla1fGIZFvjAH0NpnpDVBR4iQPVwqq0E23/QoikJxP+jM0SfN+UQhypAvzBR/\nRXSrMqtzKs7462L0+KIO0YQbviHXg24/cG3Hm75xGFXECvMLL7zgcrkitbTGo3gGkeichQHk5kCl\ne60nUQrNwY3BM8BTQaun8Fy1fSoEG4vq6r/tY1gqKyufe+65vLy85i+qCfCl6sv46ae88QIdEOrM\nprvTqTT4FCJQmGNiYl5++eVnnnkm+EWHw+H3+3meV2+UU2DJZ5bPcYSGUykKC0SsdyBh47izsy3W\nBm/oFeGCGoaR46wXxYA5jgsUNlrBcxyn1D4M2rAYWE3b5kht/Vid3Cr1vWg0Gic5AoWZ4zhBEHj+\nnF7xCRMmHD58OC0tbfny5c3/iAbExsUxxhITE5NjJVU/KLJsNltycrLeUYQtOTmZFwTGmCAIcXFx\njLGExMTkeIvecTVEkpyMseTkZJNAbESFzWbTO4SmEEWTxWKh1bzNZjPH8YwxSZKsVhtjjET8cfHx\njLH4+ITkZLvesYQhMTExJqY68Dg+IYHneavVavyEWyxqbeicTmfIKxEozPX67LPPAg+Ki4tV+ghR\nFGNjY0+fPs0YKykpEd1mlT4o4mRFqXJUqZcZNUiSZLFYysvL/X4/Y8zn85WXlzPGSktLLV7jZl4U\nRWd1NWPsVHGxmU5hjomJkWW57s/V4CwWi9fr9Xq91dUuQs07Li7O7Xb7ZZkxVu2qdjgYU3PDFSl2\nu72srIwxVlZWVsxV6x1OYyUnJ5eVlVVUVAaenj59Wpbl6upqgyfcbrc7Ai1DHSF74WQ2VeeDkxMa\nC7lQyvjDfIwfYZSJgnTTajIUW3jwBCOKgjuzhiJfmANofaukr5U8Mwy+5imZFTH0GaxoEjwxHCE1\nlxsQCp1QqBCWiHVlv/DCC5FaVFjoFIZaBEM+L+OvC8UWAtqj2EwIj8quvZeXvoEYFPkjZvSBaCzk\nRqrGRyTMKIK+CbgQ5TyPIYB8YQ6gUiQCSJ9RqZm5kBZq8RJG9ExNzXWAikKmP5tKnBdEscGoinxh\npviFUoz5fIy/LpT3gkgimm+KRY7wlJy1Y0gJRq8++oWZ4FkWonMWBlMIHfZzHEN51hbFZJ8tcpRC\nJxXsOc7pyia7FuohX5gp3seGtNC59Az/o1IUClFGEfLHQNQ2KRQTjsFfDaNfmBlj5PZzGcn74gXU\n9J6dOdlMZKNAqoHQRvRyqbM9K4wRai1UtyLnoDkmQV3kCzOtkhxAMOTzMv66GD5AMASKx3DEdiOC\nKHUeQDD6hTnwf1JfL+m+VXJ3xyMXMHVEmzfF0Sp0UWwhWqJfmPEFaytkzi/jp9/4EUYZip1YRClB\n/6clqH9CIXp9narIF+YAWl8r6alhQwavUlkRwhmnRqH2ewyomfudUP8wiSChCcgXZorDTKLp52T8\ngmf4AMEQKLYTilu/M86OfiW7AuqiX5jxxWqr9qQ+kYHlxt91iDKkeybJBk7MOS2EyJZES+QLM0UK\n5V3dkDpHZTWoxBkFiLbtmrAJxU9lnEcDzq4C6ZWIPPKFmeK+OcWYQ4QMATMywwcYhShuZ0NOLZNY\nBQIhnkdwetGnVRf9wnzu7YFp4AjUs/MJKsmBzBt9TQiN5YkORFNNaF8zBLmAGbUdIO3RL8z4WrVF\nLuH45WuMXAuhi+6xJtW4tUK+MAfQap9k7ip3fgTvykwk0KhApVUEozgRDa1oz4f0aEGVkC/MFL9Q\nijHXCBojU/t/I8NvXmNE8x0ySSShZkMo1BrkJkLQGP3CTHNQH+E+KGoJJ7edjQZkL4Ch9cMkFew5\nyAauEVHtD7Db7Sotmed5nuctFgtjzGq12u02lT4o4hRFMZvN6mVGDYIgCIJgt9sD21ye5yWpJvPG\nXRGe50VRZIzZ7Xa7RfXWHimiKCqKYuTE1ksQBFEUGceJokgoeEEQJEkK3KpJFEWTycQYs9vtAm/o\n3QuTySRJEmPMYrUQyjbHcTabLRA5Y8xisSqMmUwmg6+CqhF6vd6QV1TfVDkcDpWWLIqiKIrVrmrG\nmNNZ7ZDI7IQpjHk8HvUyowZJkjiOq4nZ75ddLhdjzFld7XAYd/slimKg0Vc5HKKfTGGOiYmRZdnp\ndOodSHgsFovX61UUxev1EmregiC43W5ZlhljXp/P4/EwxhwOh8ELs91ur3a5GGPV1dUOB5m+T4vF\n4nQ6XS534Gl1dTVjzOvzGbzB2O12LSMk83Wen6F/PPWi2wHF6k4wYvh1MXyA0cb4TaJeSoNPjYxi\nwmtjprf91gL5wkywTTJGNmwWNNkQldPMFDdbpCnETtSeg1bktKINdu4EIzoGYlDkC3MArW+W8Har\nDiqrQiVO0A/BYzeOY9S2fiHww6wX+cJMscgplJtjnR4/o68J3VQTRfQy/bOj99FetBCcZQVZryMK\nCnPt/6mgFW2IkKlFjL8uZyZtNX6g0YJoousMniCwHmcmRaEQagilzgMIRr8w6x1A09A8qGCM4OTk\nBLdatCkK4QMgWnHTijYY3RaiDfKFOYDW10wp1gshsy5kp7wAbVC8iUV03PaRUMI1Q74w0yrJAZSP\nKGp7sM8+MPqaGD2+qEP1HPOZoLEDp4lzd5QpNhhV0S/MQf8HDRC93NPw+w/RIzoyTWItzo6f0DuO\n8OG2jw0jX5gpIj0quwZ+URBNgu7OQqZhR8FmhBHZB9IY+cJMZWxwMFrRhggZCGr8dTnbp2L4QKMF\n0bOG5O7OQhry3DD6hVnvAJpAYQrdsUi4jhkaZvwmETXo7kyQu+pSY/QL85nbm+OL1RSh3ni65+Ho\nIpfs4DpBaBQY3e1ecNzGH0CqPfKFmSLS7TAkeNLrAmpAk9AY6YRTjl1F5Asz0e+V7k7i2XPMNU/1\nDKYxjB9hlFEINu+gkV+UGgyhUEOcOyUnhKJfmKmdoiAUar1C59IzfIcfLqiDCyL6qzw7v7fOYTRB\n0OhRnIusB/nCTBT1Zkg9flAV3eYRdH0tARRLMjQG+cJ8doeLDPr7hudO2WP4taEyQ1nUoJjoc2Im\nd8UEtXjZuR1v+GnWRb4wk/sVket7D3G290yhMk8vSrLGKF7HXNuzSqBF16IVbTByLURjYvMX4fV6\nZ8yYUVVVlZmZee+99zZ/gWEh9wVTi/cCjJ9/nGOGCyLbPDhG4TdYV+1oO+IHKiqJwBHzTz/9lJ6e\nPnXq1OPHjx89erT5C2wJKO/qEjt3ABqjfdtHhfBNjolCquuKQGHOz8/Pzs5mjGVlZeXn5zd/gWEh\neHtgQsHWI+jkEI3hlNgl1xjFTBNtHnR7g4Kut6QYvuoi0JXtdDqTk5MZYykpKQ6HI/DiO++8U1pa\nGhsb+/vf/775HxHsl4KK2b8UMsY4juN5fs/JCsbYvzceT7aZI/tBKpEVhTH2w6HKp76j1LvAcRzH\ncbIsB+Kv8sgf7yhhjL27peiLfeV6R3deHMftOF7JGHtxXaHdHIHWrg2e5yked3IcpyhKhdu/s6ia\nUPPmed4ny4HHe4qrTzi8jLGnVxeIvKHHr3Acd6DUyRh755eixXtP6x1OYwnCMb/fv/14ReDpe1uL\nfQrbVFhl8AYTaNuMsexk25TLMyO7cI/HE/pxzf/xv//++z179hw4cOD8+fNTU1OvueYaxtjixYsr\nKipsNtuwYcOaufwQe085lu8tZoxxHCeKotfrFXjOL1PahJlNosfr0zuK8PA8z/O8z+cTeE5RmMBz\nXr9s/MwH9ic4phg8zhCiKCqK4vf79Q4kPIIgyLLMc4xctmVZ5pjC2JnIjd+wGWOCIPj9fhKhBjOb\nzV6vV1EUgecYY35ZIbEKgWwzxjLiLWN6t4rswn3/n737DIjiWvsAfma2six9AQFpUqVYUBGMLcbe\nEivYNTFRE5Nc8yYmNzHRFPXGmJtE068ao6KIsWFiL1hQIxZUBCkiVToILAtsfT+sIQSxALs7s7v/\n3yd2GGaeM2eZZ+p5lEobG5vmU3RwDuHn55eTkxMeHp6bm9uvXz/txAkTJmh/KC8v7/gqmvMU04t6\nOxFCuFyulZVVVVWVbpdvAJaWlk2XFoyFQCAQCoXV1ew9OW4Vl8vlcDiNjY1MB9I2YrFYrVbLZDKm\nA2kboVCoUCiM7njC2tq6sbHR6L4kxrgbIYQ4ODhUVVWp/7pEYSyab+36+np9r04H95gjIiIKCwvX\nrFnj5OTk7u7e8QUCAACYLR2cMfN4vCVLlnR8OQAAAGD8A4wAAACYECRmAAAAFkFiBgAAYBEkZgAA\nABbRwXvMTMnIyPj666+///57pgMxC+fPnz948OBnn33GdCBm4YcffnB0dJw8eTLTgZiFzz77rF+/\nftoBGEDfpkyZ8tNPP9nb2zMdCKsZzVhID2tsbCwuLmY6CnPR0NCg81fS4VHu378vEAiYjsJcVFZW\nGt0r48arsLDQ6N50NzwjvpQtEAg6derEdBTmQigUSiQSpqMwF7a2ttbW1kxHYS7s7e1FIhHTUZgL\nNzc3DofDdBRsZ8SXsgEAAEyPEZ8xAwAAmB6232OWyWSrV69WKpUikWjp0qU0Ta9bt04qlXp6es6d\nO1ehUDT/WFdX95///EelUjk5Ob355psUxeriMCz0+K2tnefTTz995513tKMiP/xbeHpt2totZsYd\n6LZq09bWfrx+/fqJEyfeeustxoI2Wm3a2mq1+n//+19ZWZm1tfXrr7+O/TYhhLNixQqmY3ico0eP\nOjg4vPHGG4WFheXl5cXFxRqNZvHixYcOHfLy8kpJSWn+8fLlyxKJZPHixefPn5dIJNpilPD0Hr+1\naZr+4IMPbt68OWXKFC6Xe/78+ea/bVEdBZ6oTVu7xczaCujw9Nq0tQkhMpns22+/FYvFkZGRTMdu\nfNq0tZOSkmpraxcvXiyXy/l8vpWVFdPhM4/tl7J9fX0HDx5MCLGysuLxeJmZmdpdkre3d2ZmZouP\njo6OeXl5lZWVFRUVtra2zEZujB6/tcVi8eeffx4aGqqducVvmYvaWLVpa7eYmbGgjVabtjYhZPPm\nzXhdrd3atLVTU1NVKtW6detkMhme59Vie2IOCAiQSCSXLl1KTEwMDw+XyWTa82CJRFJXV9fio6+v\n7507d7744gsOh4PE3A6P39oURXE4HJp+8J1p8Vsm4zZObdraLWZmNHCj1KatfenSJWdnZ09PT0ZD\nNmJt2tpSqbS4uDg6OvrPP/+8du0ao4GzBdsTs0ajiYuLO3fu3LJly0QikUgkqqioIIRUVFRYWlq2\n+BgXFzdnzpzVq1d37949ISGB4dCN0OO3douZH/9beKI2be0WMzMRr3Fr09bet2/frVu3vv3225s3\nbx45coSJeI1bm7a2paXlsGHDnJycBg4ceOfOHSbiZR22J+YLFy5IpdIlS5aIxWJCiJ+fX05ODiEk\nNzfXz8+vxUelUqmtv61Wq5VKJZNxG6fHb+0WMz/+t/BEbdraLWaGtmrT1l61atVHH320ePHi0NDQ\nESNGGD5aY9emre3r66u9F5adne3s7GzwYNmI7Q9//f777ykpKadPnz5+/LhAIIiMjDxx4sTZs2ed\nnJwGDRrk6ura/KOnp+fmzZsTEhKqq6tnzJihfYgDnt7jt7Z2nlOnTg0cOJDL5bbY+MxGbozatLVb\nzIyrrG3Vpq2t/VhXV3fjxg08/NUObd2THDp06I8//tBoNFFRUU2XuM0ZBhgBAABgERybAAAAsAgS\nMwAAAIsgMQMAALAIEjMAAACLIDEDAACwCBIzgLn4z3/+8/XXXzMdBQA8ARIzAAAAiyAxA5gyuVy+\ncOFCT0/P8PDwGzduEEKqq6vHjh3buXNnX1/fEydOMB0gALSExAxgyjZu3JiTk5ORkXHgwIFz584R\nQmJiYuzs7PLz83/44Yf4+HimAwSAlpCYAUzZ6dOnX331VYFA4OzsPHXqVEJIv379zp49++GHH4rF\nYtxyBmAhJGYAU0bTNEVR2p85HA4hpEePHteuXXNzc1uxYsXEiRMZjQ4AWoGxsgFM2U8//XTgwIG9\ne/fW1NSEh4e//vrr1dXVKpXqk08+uXfvnr+/f01NDcoGALAK6i8BmLJ58+Zdu3YtICDA0dFx1qxZ\ndnZ248ePj46O/vXXX3k83vr165GVAdgGZ8wAAAAsgoNlAAAAFkFiBgAAYBEkZgAAABZBYgYAAGAR\nJGYAAAAWQWIGAABgESRmAAAAFkFiBgAAYBEkZgAAABZheEjOuro6ZgN4mHagf5VKxXQghkZRFJfL\nVSgUTAfCAC6Xq1ar1Wo104EYGk3TNE0rlUqmA2EAj8dTKpVmOPSh2e7iCCF8Pl8ulzMdRSssLS2b\nf2Q4MdfX1zMbwMPEYrFarWZhYPrG4XCEQmFNTQ3TgTDAxsamsbGRnf+xeiUQCIRCoRl+2wkhFhYW\ndXV1ZpifRCIRTdNm2OkURVlaWlZXVzMdSCtaJGZcygYAAGARJGYAAAAWQWIGAABgESRmAAAAFkFi\nBgAAYBEkZgAAABZBYoYHNl4ucl5x7MekIoXK7F7nBQBgDyRmIISQby4UfnE276vng3ffKn92080z\nOWx81Q8AwBwwPMAIsMG6C4Wbr5X8Mad7mLfzCA9hXErZgv2ZYa7i/wz3drcRMB0dAIB5wRmzWdNo\nyLLjOTtulv0+M9jHXkgIoSgSFep4cUEPT1vBwA3X15zNb1SZ3ZiFAAAMQmI2Xyq15s2DWadzqvdO\nD3Kz/seZsY2Qu2qY99G5oUmF0v4/J8ffrmAqSAAAc4PEbKbkKvX8fRm3y+r3Tw/qJOa3Oo+fg8Wu\n6K6fDfVafjJ30o7U9HKZgYMEADBDSMzmSKZQz/wtvapeuWd6kL2I9/iZR/jZnX+5R9/OViN+TXn/\n2F2p3OwG/QcAMCSK2apntbW1DK69VUKhUK1Wm3ChoeoG5eSYm/Yi7q9TgoXcv4/MaJoWiURSqfRR\nf5hdWf/uoawbxdIVQ7tEd3OmKIOEaxAikUgul5th9UMul8vn82Uyc7wWIhaLZTKZGdb65PP5NE03\nNDQwHYihURQlFotZmHSUSqWdnV3zKQw/lc3CmmtqtVqj0bAwMJ0oq5NP2p4SIBF9P96fR7Vs5uMb\n7mnDj40OOpxR+e+jd369cm/NKJ9gJ8tHzWxcNBqNWq021U5/DJqmTfjb/kTm2elm+22nKIqwMuk8\nfHrMcGJm4TmK9lvLwsA6rqC6cXJs6gAvm8+He1MatVL5j3MF7ZfjiQ0f2sV64MvdN18rGbX5+ig/\n+0+HetlbGP1Ld9rkZJKd/ngcDkej0Zhhwwkh2oazcDetb2q1mqZpM+x0bWI2iobjHrO5yKtufGH7\nrTEBDl+M6EJ37DI0n0O/0tsl8eUehJDIn5N/vlykUuOVKgAA3UBiNgu3y2RjtqREhTp9ONhDV8t0\nseJ/N8530wT/bcmlw3+9mVTIujs3AADGCInZ9F0rkj4fc+v1SNd3+nfW+cKf8bA++WK3qFDHaXG3\nXzuQVVan0PkqAADMChKziUvMq5kam/bxc16v9HbR0yq4NPVKb5dLC3rYCDnP/C953YVCOcpgAAC0\nFxKzKTuaVTX7t/SvRneJDnXU97rsRbxVw7zjoroeyqwatPHGqbsogwEA0B5IzCZrT2r5qweyNk7w\nGxvgYLCV9nAR/zEr+F+Rbq/GZ87YdTu/utFgqwYAMA1IzKZp89WS947e3TE1cLC3rYFXTVNUVKjj\nBZTBAABoFyRmE7TuQuGac/l7pgX3cbNiKgZbIXfVMO/fZ4Wcza1GGQwAgKeHxGxq1l0o/OVayYGZ\nISHOIqZjIcFOogMzQ7RlMCbHpmWU1zMdEQAA2yExmw5tceUtySX7pj8orswSI/zsEl/uEe4mHv7r\nTZTBAAB4PCRmE9FUXPn3WSGetoIn/4FhiXj00gHuJ1/sdreqIfKn5J03yxgtngIAwF5IzKbgaYor\ns0EXO+GOqV3Xjuzyxbn8F7bfSi0zx6JGAACPh8Rs9NpUXJkNRvjZnX+lx5gA+/Hbbv3foexKGQYL\nAwD4GxKzcatuUE7ekcqjqZ3RQWI+h+lwnpa2DMaZ+d0blOrI/11HGQwAgCZIzEasXKZ4YfstD1vB\n5on+Ak6HCkYxwtWK/904340v+G1LLh3x682kApTBAABAYjZaBdWN47bd6u1m9f04Xx7HiPuxv6fN\niXmhU0Mdp+1CGQwAACRm46Qtrjza377jxZXZgMehX+ntcv6VHkIujTIYAGDmkJiNT3q57osrs4GT\nJe/LUV12RnU9mFE1eOONU9n3mY4IAIABSMxGJrlIOn6bvoors0FPF/HB2cFvRrotOoAyGABgjpCY\njcn5vJopei6uzAbaMhgXF/REGQwAMENcHS5LoVCsW7dOKpV6enrOnTtXO1Emk61evVqpVIpEoqVL\nlwoErBuUylgczapaFJ/1zZguhizjyCBtGYzp3ZzfO5r9263yz4Z6Dfe1YzooAAC90+UZ88WLF11d\nXZcvX15UVJSfn6+deOrUqe7du69evdrHx+fMmTM6XJ1Z0RZX3vCCQYsrs0GIs+jAzJBlgz2WHrk7\nOTYtswJlMADAxOnyjDkzMzMkJIQQ4u3tnZmZ6e7uTgjx9fV1cHAghFhZWfF4D8al2rZtW1VVlVgs\njo6O1mEAOsHlcjUajaWlJdOB/G1jUuFHR+/und0jwkOPxZVpmqYoilUNbzKtl+X4ULevz+UO/zVl\ndpjL8qE+VgJdfnU5HI5QKGz6fpoPDofD4XDY2en6RlGUhYWFxvyI5mRyAAAgAElEQVQGbedyuaz9\nT9criqIIISxsuELR8h1RXZ4xy2QybQ6WSCR1dXXaiQEBARKJ5NKlS4mJieHh4TpcnZn48kzOpyfu\nHHqxt16zMvtZ8jkfDOly/tXwrHJZz28uxFwrMr89KgCYBV2edohEooqKCh8fn4qKCkdHR+1EjUaz\na9eugoKCZcuWiUQPKgTPnDlT+0N5ebkOA9AJsVisVqtlMlbUV9AWV46fEexjTTUd6+gJh8Ph8Xj6\nXksHuQhJzGT/I5lV7x/L2pyUv3q4d1dHHZSd5nK5DQ0Ncrm844syLgKBgKL0/tViJ4FAUF9fr1KZ\nXRFSkUhE07QZdjpFUUKh0CgarsszZj8/v5ycHEJIbm6un5+fduKFCxekUumSJUvEYrEO12XyWFtc\nmQ1G+NklvtJjSBfbcdtuvX/sbk2jkumIAAB0htLhLRaFQvHtt98qFAonJ6e5c+dmZGQcOXKEy+Wm\npaVZWFgQQsaMGTNw4MDmf4Iz5lap1Jolh+5cK6rbFd3VYGUcORyOjY1NZWWlYVanE/dq5SsT8o5n\n3/+/Z9zm9+rU7kHQbGxs6uvrzfOMWSgUVldXMx0IA+zt7aurq832jFkqlTIdiKFRFOXg4MDCpEMI\nkUgkzT/qMjG3Awu3EeOJWa5SL9ifWVgjj50aaMgyjsaYmLXO5la/fyxHwKH+M9y7t5tVO5aAxMx0\nIAxAYmY6EEMzosSMAUbYpd7YiiuzwQBPm5PzQqeGOkbH3X7tQFY5CjwDgDFDYmaR6gbl5FjjK67M\nBtoyGIkvdyeERP6U/PPlIiUKPAOAcUJiZgttceXO1sZaXJkNnMX878b5xkV33X2rfOCG6wl3UQYD\nAIwPEjMrlEjlE7an9naz+mG8cRdXZoOeLuJDs0PejHRbGJ85Y9ftApTBAACjghzAvLzqxjFbU4b7\n2q0ZbgrFldmgeRmMARuurzmbL0cZDAAwEkjMDNMWV36+q+TDwR5IyrqlLYMRPzP4dE51//8lH7tT\nxXREAABPpsuRv6CtkoukUTvT3nqm84I+plzGkVmhzpa/zww5kF7xzuG7wU4lq4Z5e9qixBkAsBfO\nmBmjLa68YogXsrK+URQZH+hw/pUe3TtZDtp4/f1jd+vkZvf2KgAYCyRmZhzNqpr1W/pXo32mdXNk\nOhZzIeLRSwe4n5jX7U5lQ+TPyTtvljEdEQBAK5CYGbD37+LK9kzHYnZ87IU7o7p+MaLL52fzJ2xP\nTStjRbUSAIAmSMyG9uu1kneP3t0xNfDZLmZdxpFZI/zszr/SI9LdavSWlPeP3a1uwGBhAMAWSMwG\ntf5i4edn8/dOD+7TriGdQYeEXHrpAPeEl7oX1MhDvzy39VqRGhWeAYAFkJgNZ2VC3qarJQdmhgQ7\n6aCEMOiEp61gy6SADVNCv79Y+NwvN87kmGM5BwBgFSRmQ9AWV96TWo7iyuw03F+SuLDXwj6ui+Iz\nJ8em4cYzADAIiVnvVGrNvw7eSbhb/cfsELxBy1rawcKSFoUN9LQet+3W/x3KLqvDjWcAYAASs37J\nVeqX92WklcniZwR1EvOZDgeeQMSj34h0Ozu/OyGk70/X1pzNb8RYngBgWEjMelSvUM/cdbsSxZWN\njYsV/8tRXfZOD07Mq+n747WdN8vwWBgAGAwSs748KK7MoWOjuqK4sjHq3sly/4zgz4d7f5lYMOLX\nmxfza5mOCADMAhKzXjQvrizkYiMbsRF+dokvd5/Zw2nuntszdt3Oud/AdEQAYOIYLmLB4bDuVJKi\nKIqiOhJYiVQ+cXtqhIf1FyN9jKiMo7bJLOwRA6AoiqbpR7Wdw+HM6+U6Idjpm/MFz268MaOH83sD\nPWyEplAAhqbpDn7bjZp5NrzjuzgjRVEUYWWnq9XqFlMoDaN3z6RSKYNrb5VAINBoNHK5vH1/nnu/\nYdzm5BeCHT8e6mM8SZkQQmiatrCwqKurYzoQBlhYWCgUCqVS+cQ5syvrVxzPPn236l/PeLwW2ZnP\nMe7LIVwul8fj1dfXMx0IAywtLevr6x/eJ5o8Pp9PUVRjYyPTgRgaRVGWlpYsTDpKpdLW9h8DQTKc\nmMvLyxlce6vEYrFarZbJ2vMma3q5bPKOtKmhjh8O9tB5YPrG4XBsbGwqKyuZDoQBNjY29fX1T380\nduVe7YfHcyvrFe8P8hgf6KDX2PRKIBAIhcLqanMcVsXe3r66ulqlMrs6YyKRiKZpFuYnfaMoysHB\ngYVJhxAikUiafzTu431WSS6SPh9za3GEqzFmZWiTXq5Wf8wKeX+Qx8cncydsT71ZYo6XGQBAT5CY\ndUNbXHn5syiubC60NZ4TX+nxrLfNhO2pL+3NyK82u2uDAKAPSMw6cOwOiiubKSGXfiPS7dLCns5i\n3qCN1z9NyJPKze7SKADoFhJzR+1NLV+4H8WVzZq9BXfVMO8jc0Jvl8kif0reklyiUmNEEgBop9YT\nc2lpqYHjMFIorgxN/BwsYqYEfjvWZ+Pl4kEbbxy/c5/piADAKLWemHv37j1hwoT9+/e3+60hc/C/\ny8Wfn83fMy04vDOKK8MDg7xtT73U7fUI1zf/yEKhKgBoh9YTc3Z29oIFC+Li4vz9/ZcsWZKcnGzg\nsNhv3YXCby4U7pkWFOKM4srwD02FqsLdxKO3pKBQFQC0SeuJmcvljhw58rvvvnvnnXc2bNgwePDg\nsLCwxMREAwfHTtriyr9eK/ljVkigI7IytE7Eo5cOcD//Sg+CQlUA0BatJ+aYmJjx48eHhoampKT8\n/vvvFRUVGzZsmD17toGDYyEUV4Y2QaEqAGir1sf7PXny5OLFi4cMGcLlPpghLCxs1apVBgyMjeQq\n9cL9mfk18vgZKOMIbaAtVHUks+rDEzkbrxR/8pxXhDueSwCA1rUckjM6OrrV+WJjY/WxehaOjvao\nITnrFeo5u283qjQxUwJNsowjhuQ0wKOOCpV6x82yVafzerlarRzm5WUr1PcaHw9DcmJITvNhRENy\ntjxjnj9/vgGDMRo1jcppcbdthdwtk1HGEdqPx6Fn93AeH+iw/uK9ZzfemNbN8d0B7qZRqAoAdKXl\nHmHo0KGEEKVS2XQRmxBy4cIFgwbFMuUyxdTYND8Hi2/H+vCMvJoQsIGtkPvhYI8Z3Z1WJuSF/5T8\nWrjLwnAXYy9UBQC60vq+YPr06QqFghBSVlY2f/78R13fNgfa4sphruIfxvsiK4MOdbETbpzgHzM5\n4HBm1cAN1+NvVzAdEQCwQuuZJjg4eNKkSd9//323bt2cnJxSU1MNHBZL5FU3jt16a5iv3RcjutDG\nVV0ZjERvt78LVU1EoSoAeNRT2cuXL//iiy/efffdP//8MygoyMAxsUR6uWxKbNqUEKMsrgxGRFuo\nariv3c9JRRO2pw7yslkxxNPdBi/jAZiplon57bffbvrZycnptdde69WrFyFk7dq1Bo2LaclF0ui4\ntCX9OqOMIxiGtlDVzB7Oa8/lD9p4fV5YpyX93Ezy+X8AeLyWiTkkJKTVn83K2btV0bFpnzznhTKO\nYGDaQlXzwjqtOJkb+VPyOwM6z+jmxKFxGwXAjLR8j1lLo9HExMQkJSWtXbs2Pj5+4sSJlH7usLLw\nlbIcqea5ny+vH+sz2t+8yjjiPWa2lWw5mX1/xclcDk0+HuI10MtGH6vAe8x4j9l8GPF7zFrLly9P\nSkrKycmhKOq77777888/16xZY5DwmBfsbHXild5eYpyjAMOGdLEd5GUTc6N0YXxmTxfxiiGefg4W\nTAcFAHrX+hmzv7//lStXJkyYcPz4cblc7ufnl5ub+8RlKRSKdevWSaVST0/PuXPnPmZiExYevDxq\n5C+ThzNmtp0xN5Ep1N9eLPzhUtHEIMl7A90dLXU2HCzOmHHGbD6M6Iy59del5HK59j1mQkhDQ4OF\nxVMdp1+8eNHV1XX58uVFRUX5+fmPmQgAT09bqCoRhaoAzEPrl7Jfe+214cOHV1VVrVmzJiYmZtGi\nRU+zrMzMTO3zYt7e3pmZme7u7o+aeP78eZlMJhAIevToobOm6AiHw6EoSiAwu5dVaJo2z4YTQmia\n5vF4enqQQle8BYJvX+g6v6/0/SNZO35K/nCId3Q35w6GzOVyaZo2z06nKIrP56vVaqYDMTQOh2Oe\nna79B2dhw5VKZYsprSfmd955JywsLCEhQaVSbdiwoU+fPk+zdJlM5uDgQAiRSCR1dXWPmXjs2LGS\nkhJbW9uIiIj2tUR/tN9amja7Qb6031qhkOGyCoygaZrP5zcfhpa1IryFJxdK/kgre/v3tP8l3Vsz\nJrC/t127l6b9qptnp2sPQ1u9l2fatIfg5tnphJW7uMbGxhZTWt8TaTSaoqKimpqajz76KD4+vnfv\n3k9zMiESiSoqKnx8fCoqKhwdHR8zcfny5dofWHi538zvMZvn7UaW32N+WH9X/tmXQnfcLJuy9UpH\nClWZ+T3m2tpa3GM2H9p7zOz8tovF4uYfWz8vXL58eUxMzNGjR7VPZb/77rtPs2g/P7+cnBxCSG5u\nrp+f32MmAkAHaQtVXVzQM9BR9OzGG+8fu1vd0PKCGAAYo9YTc2xsbFxcnJubG5fLPXz48M6dO59m\nWREREYWFhWvWrHFycnJ3d8/IyFi/fn2LiToNHsDcaQtVnXixW4lUEf5T8roLhXKV2d00BTAxrV/K\nbt9T2Tweb8mSJU0f/f39/f39CSHNJwKAzmkLVV0urP3oRO72G6XvD/IYH+jAdFAA0E6tnzFrn8q+\ne/fumjVrBgwY8JRPZQMAg5oKVa1AoSoAY6bLp7IBgFkoVAVgAlpPzDNnzhw1atTrr7/u5ORk4IAA\noINQqArAqLV+KXvo0KEnTpx45pln+vTp8+GHHyYmJho4LADoIG2hqiNzQm+XySJ/St6SXKJSm907\nuwDGqPWxsrXKyspiY2PXrFlTUFCgp9fw8R4ze2CsbCN6j7mtTt+9/9GJXJWGrBjiOdTHtmm6mb/H\njLGyzYrRj5W9aNGikJCQIUOGpKenf/XVVyUlJQaJDQD0YpC37amXur0e4frmH1mTY9PSyszuuBPA\niLSemK9fv97Q0NC/f//IyMjw8HDcaQYwdjRFRYU6Ji0KC3cTj96S8n+HssvqFEwHBQCtaD0xnz9/\n/ubNm9OmTcvOzn7mmWc8PDwMHBYA6EOLQlWrE3IalBiQBIBdWn8q+/Lly6dPn05ISEhOTu7Vq9eI\nESMMHBYA6I+rFf/LUV1m9nBacSpv9bKjFjxawHlwjG4l4NAUIYRwKMpK8OBBbgGXtuA9+FnMpzkU\nRQihKWIteLAD4XMo0V9PfVvyONy/DvhtLR7MwKNpS/6DqRY8mk8/GHvfWsilKYoQwqWppufGhVxK\n8NcirPgcDs3qql+MkKvUMkUrR1R1ctXDB1oaoqlu+PtWulCo8pFYGkHBFjPW+sNf2mQ8YsSIfv36\n8Xg6q8r+MBbeh8fDX0wHwgCTf/jrUQQCQYOGU1BWpX1eW63R1DQ+2IPLVWqZ/MHPdQq18q8nuu//\nNSK3QqWp+2uGeqVa/leJ6OoGpXanolRrpH/N0KBUN9WQrm1Uap8PV2tITaPyr9Vp6v/KNHUKteKh\ngUVpirL+60CBz6EseA8ytyWPw+M8yNy2Fg92VjyaiP46khDxaP5fhx02Qi714LCDONlaNTQ01MmV\n8taKWze1ojmFWl0nbyUdyhSq1rKkdiEtl6JQaeoUrTxxJlOoFa1Fcr8tQ6DzOLQlr5XroBY8mv/X\nVqIoul6h+ul5v2c8rJ9+ySbAiB7+av2w6cqVKwYJBgAYZmvBo9g6AolGQ6ob/z4OaDpHlClU/zwO\n0BBCVBrSdBxQr1A3/pXaaxtVD44DCKn967CjTq7OrpDJ5XKaIk0XBppzFvMFnFbO1K0ErZzBN7+6\n0JyQS7e6kKbrBM01v2bQXPOc2pyNgNu+atwikWh3Sumc3WmL+7q8GdmZ3VXIzRSuZwAAS1EUsRXq\nax9ltq9LEUKmdOvkb8udtyf9UoH0u3G+dhZIBOzS+sNfAABgwnzshUfnhjqJec9uunG5sJbpcOAf\nkJgBAMyRkEt/Pdrn3wPdo+Nu/3y5iOlw4G9IzAAA5isq1HHv9KD/JRXP3ZPe9CweMAuJGQDArIU6\nW558sRtNyIhfUzAqHBsgMQMAmDsrAWfjhIB5Yc5jtqbEXC9lOhxzh4fxAACAUBR5pbdLN2fxy/sy\nzufVfDmqi5CLMzdmYLsDAMADEe5WCS91L5MpRm9JybnfwHQ4ZgqJGQAA/uYg4u6YEjjSz27oLzcP\npJvjUICMe1w9ZgOor69ncO2t4vF4Go1GqTS7pxNpmubz+Q0N5niMLBAIlEqlGY41weFwuFxuY2Mj\n04EwQCgUNjY2MrsDZASXy6UoSqF4cm2xhOzKuXEpk0OdV4/043GM/iyOoiihUMjCpKNQKKyt/zE8\nKsOJmYXDlmKsbKYDYYA5j5UtFAqrq6uZDoQBZjvyl0gkomlaKpU+zcz3auXz92VwKPK/F/w7ifn6\njk2vjGisbKM/CAIAAD1xteLHzwgO72w9eOP1U9n3mQ7HXCAxAwDAI3Fp6sPBHv8d5bPwQNaas/lq\n87v4b3hIzAAA8ASj/e0Pzgr5I71ySmxauezJ96ehI5CYAQDgyXzshUfndfOwEQz95WZSAepe6BES\nMwAAPBUBh/pqtM+/B7pHxaWtu1DIdDgmC4kZAADaICrUMX5GyLbrpXN2o+6FXiAxAwBA24Q4i07M\n68alqeGbb6ai7oWuITEDAECbWQk4G17wf7FXp7FbU7ah7oVOoYgFAAC0h7buRR83q5f2ZlzIq1k7\nsosFDyd7OoCNCAAA7dfTRXx8XreyOvnorTdR90InkJgBAKBD7C24O6OCJnSVoO6FTuBSNgAAdBRF\nkTci3Xq6ihfuz7yQV/3xEE8TqHvBFGw4AADQjQGeNsfmdUsuqpuwPbVYanZVYXQFiRkAAHTG1Yof\nPzO4rzvqXrQfEjMAAOiStu7FV6N8Xtmf+WlCHupetBUSMwAA6N4of/sjc0OPZ1VN3pFWVoe6F22A\nxAwAAHrRxU54dF43LzvB0F9uJBWi7sXTQmIGAAB9EXCo/47yeX+QR9TOtHUXCnFV+2kgMQMAgH5F\nhToemh2yM6Vs7p706gbUvXgCJGYAANC7AInoyJxQHgd1L55MlwOMKBSKdevWSaVST0/PuXPnaifK\nZLLVq1crlUqRSLR06VKBQKDDNQIAgLEQ8zkbXvDfklwydmvKx0M8Z/VwZjoiltLlGfPFixddXV2X\nL19eVFSUn5+vnXjq1Knu3buvXr3ax8fnzJkzOlwdAAAYndk9nHdPC/rqfOFrB7LqFWqmw2EjXZ4x\nZ2ZmhoSEEEK8vb0zMzPd3d0JIb6+vg4ODoQQKysrHo+nnTM7O7uxsZHH40kkEh0GoBMURdE0zeWa\n3WClHA6HEGKGDSeEUBTF4XDMsO00TVMUZYYNJ4RoG05RFNOBGBobOr2Pu+2p+T0X7Esfsy1l86Su\nXewtDLBSbV+z8NuuVrc8OtFliDKZTJuDJRJJXV2ddmJAQAAh5NKlS4mJiR999JF24ooVKwoKCiQS\nyc6dO3UYgE5QFKXRaMzzkjtFUTY2NkxHwQBtYmY6CmaYc6eLxWKmo2AGRVF8Pp/ZGGxsyNGFkjWn\nsp7bdP2nyaFTursaar2s+7bX19e3mKKDxHz8+PGUlJSIiAiRSFRRUeHj41NRUeHo6Kj9rUaj2bVr\nV0FBwbJly0QikXbili1btD+Ul5d3PADdEovFarVaJjO7ZxM4HI6NjU1lpTlWhrGxsamvr5fLzW5o\nX4FAIBQKq6urmQ6EAfb29tXV1SqViulADE0kEtE0LZVKmQ6EEELmd7cLtPVbsOfmHzcLVw/34uuz\n7gVFUQ4ODhUVFfpbRbs1JUctHWyFoUOH/utf/4qIiPDz88vJySGE5Obm+vn5aX974cIFqVS6ZMkS\nsz04BQCAR+nvaXN8Xrfb5bKxW2/lVzcyHQ4r6PLwJCIiorCwcM2aNU5OTu7u7hkZGevXr79+/Xpy\ncvJ777337rvv4uEvAABowcWKv39G8AAvm2Gbb5y6a47Xb1rQ5T1mHo+3ZMmSpo/+/v7+/v46XD4A\nAJgkbd2L3q7iBfszZvVwfn+gO4c2u+fymmCAEQAAYIVR/vaH54SeuFM1Odas614gMQMAAFt0sRMe\nmdutq6PF0F9uXCow07oXSMwAAMAiAg61apj3+4M8ouPMtO4FEjMAALBOVKjj4dmhcSnlc8yv7gUS\nMwAAsJG/xOLwnBABhxq++eatUjMaWwKJGQAAWErM5/zvBf/XIlzHbUvZklzCdDgGwrpRQwEAAJqb\n3cO5m7Pli3sz/syvXTuyiwXPxE8pTbx5AABgAnq4iI/PDS2XKYZuvpFebuKXtZGYAQDACNiLeLFT\nu0aFOI7Zemt/GhuHvNYVXMoGAADjQFHkjUi3Xm5Wr+zLOJNTre+6F0wxwSYBAIAJe8bDWlv3YoyJ\n1r1AYgYAACOjrXsxzMd22OYbJ7PvMx2OjiExAwCA8eHS1NIB7l+P9lkYn/lpQp5KbTojhCExAwCA\nsRrpZ39iXrdzudWTY9NKTaXuBRIzAAAYMXcbQfzMEFOqe4HEDAAAxk1b9+LDwR7T4m6bQN0LJGYA\nADAFU0IcD88J2XWrfPbu9PvGXPcCiRkAAEyEn4PFodkhFjx6yKYb14qkTIfTTkjMAABgOsR8zs/P\n+/2rn9ukHak/Xy5iOpz2wMhfAABgamb3cO7eSfzinvTrRXVfjOwiMqq6F5SG0bvk9fX1DK69VTwe\nT6PRKJVGfH+ifWia5vP5DQ0NTAfCAIFAoFQqVSoV04EYGofD4XK5jY0mOHbSEwmFwsbGRmZ3gIzg\ncrkURSkUJvJm0eNVyhQv7krJq26Iie4W5CwWCoUsTDoKhcLa2rr5FIbPmOvq6pgN4GFisVitVstk\nJl695GEcDofH47GwRwyAy+U2NDTI5XKmAzE0gUBAUZR5drpAIKivrzfDozGRSETTtJl0uoCQbZP8\n118sHPJz0tqRXeYPCDCKhuNSNgAAmCxt3YseLuKF8ZkVCs5L3WyZjujJkJgBAMDEDfSyOfVSd0oo\nJsQIbtwY0/1wAACA9ukk5gc5WzEdxVNBYgYAAGARJGYAAAAWQWIGAABgESRmAAAAFkFiBgAAYBEk\nZgAAABZh+D1miUTCbAAP++GHHxwdHSdPnsx0IIaWl5f31ltv/fLLL0wHwoAPPvhg7NixkZGRTAdi\naOfPnz906NCnn37KdCAMmDNnzsqVKzt37sx0IIYWFxdXVVW1YMECpgMxNKlU+vzzz+/bt4+iKKZj\neQIMMNLS/fv3BQIB01EwQKFQFBcXMx0FM8rLy1k4gq4B1NfXl5eXMx0FM4qKisxkvOgWampqqqur\nmY6CAWq1urCwkOkongoSc0u2trYtxhM3Ezwer1OnTkxHwQyJRGJhYcF0FAywsLBg4VUrw3BxceHx\neExHwQBra2szHCGcEELTtJubG9NRPBWGq0sBAABAc3j4CwAAgEXM5VK2Wq3+8ccfCwsLGxsb+/bt\nO2XKlKf8wxMnTvD5/AEDBug1PP05e/bsjz/+uGXLFg6HQwj5/vvvq6qqPvjgg6f5W6Nu+/r160tL\nS7Ozszt37szn81955RV3d/en/3OjaPunn346bdo0X1/fI0eOnD179rPPPiOELFq0aO3atZaWlg/P\n3+5GsX9rtOhuLy8vf3//9gXM/sY+Xnp6+qpVqzw8PLQfly5damVlRQjZt2+fQCAYNWqUdrqxN5N0\nYK/eAgs3hbkk5suXLxNCVq5cqdFoli1bNmDAAPO5nyoQCNLS0kJCQjQaTXZ2tp2dHdMRGcLrr79O\nCPnkk09effVVU72NGhQUlJGR4evrm5KSUlVVJZfL5XI5l8ttNSubthbdffTo0Sf+iUwmE4lE+g+N\nAb1799ZukCYymeyFF15gKh49eeJe/fr165mZma2+YsPy3jeXxGxra5uVlZWamhoYGLhy5UpCSHx8\nvIuLS58+fXbs2NG9e/eCgoLs7Gwej1daWvp///d/lZWV69atE4lEcrl82LBhFRUVP/74IyFEIBAs\nWbLkiy++mD9/vkQiWbZs2b///W+W7wf79u178eLFkJCQrKwsPz+/8vLy6urqb775hqIosVj8xhtv\nnDhxwlTbrtWirz08PL7++mu5XO7g4LB48eI7d+789ttvKpWqd+/ePXv2NKK2BwUFHTlyZNSoUeXl\n5ZGRkenp6SqVKigoSCqVNm9gWVlZ80YdPXq0eXfL5XLT2BotnDlzJiEhQalULlu27NChQy3+2a9d\nuyYQCEaPHm0ajX2Mo0ePahsbFBRkYWHh5+dnMs18eK/eojnHjh27d+9eeXl5r169Hu796Oho1m4K\nzooVKwy5PqY4ODh4eHicPHly27ZtJSUlwcHBWVlZVlZWbm5uKSkpnTp1qqmpkclkL774Yn5+PiHk\n4MGDI0eOjIqKunTpkru7O4fDCQwMnDhx4rlz5/z8/AQCQV5enkQiSU5Ofu6555hu3OPk5eUJBILb\nt28PGjTo0KFDYWFhmZmZJSUloaGhc+bMSUlJUalUjY2NJtl2Qsjp06f79OmTn5/fvK/PnTsXGho6\nd+7cgoKC8vLy1NTUnj17Tps27d69eydPnjSittva2sbFxWn3NX379r1582ZNTY2np+e1a9eaN7BF\no5RKZfPuvnDhgmlsDfJXd4tEojt37sjl8rfeeisvL4/H492/f7/FP3tDQ8PixYsPHjxovI19lIqK\nip07d169evXUqVMlJSUikUjb2Dt37vB4vBMnTphGM0lre/Xi4uLmzXF2dra0tLS1tW219zdt2sTa\nTWEuZ8zFxcVeXl6LFy9uaGhYuXLlpUuXmn7V9OZAly5dCCEWFhZqtVrbwYSQgIAAQoitre2OHTtO\nnjyZn5+v0Wh69+69bt06tVr9zDPPMNGaNvP29s7JycnOziy88lcAACAASURBVB43bhwhpKioaMiQ\nIYQQf3//oqIikUhkwm1vTtvXRUVF2dnZycnJhBAvL68RI0Zs27bt0KFDI0eONK6283g8kUh08eLF\n0NDQwMDAuLg4S0vLgQMHJicnN29gi0aRf37VTWZrtKCN2draWq1WN01s+mf38/MjhJhMY1tofin7\n6NGj2sZqmVIzH96rBwQENG9Oi/lb9D6bN4W5PJWdlJR0/PhxQohQKPTx8VEoFBwORyqVajSa9PR0\n7Tw0/ffW6NSpk3Z6ZmYmIWT//v2DBw9+9dVXbW1tNRqNlZWVSqVKTEzs27cvE61ps4iIiP379zs7\nO2uHvHF2ds7KyiKEZGZmOjs7E5NuOyGkRV+7urr26tXr9ddfDwsLc3FxSUlJmT179ocffrhr1y6j\na3vXrl3j4+NDQkL4fD5N0yUlJY6Oji0a2KJR5J/dbUpboznt045NP7f4Z9e+wWwyjX285q9rm1Iz\nH96rt2iOdrZH9T6bN4W5XMr29vY+fPjwwYMHDx8+LBAIJk+e7ODgEBMT8+eff9ra2gYGBt6/f5/H\n43l6emZnZzs7O/fq1Wvz5s1JSUkCgcDb29vLy2v//v2XL1+2tbUtLS0NDQ3Vjp7z7LPPMt2yJ8jL\ny2tsbIyIiPjxxx+nTJliZ2d36dKlmTNnxsXFJSYmqtXqiRMn3r171yTbTv66tunm5ta8r8PCwnbu\n3Hnu3Lm6urrBgwdXVlbGxsZeuXIlMDBw3LhxxtV2hUKRnJwcFRVFCCktLVWpVP379/f09GzeQC8v\nr+aNamhoaNHdJrM1ml/K1rbx9u3bdnZ2gYGBrf6zV1RUGG9jH6WiouLOnTtN6aRpU2h/GDhwoGk0\nk7S2VxcIBM2bExgYuGvXrgEDBsTHxz/c+56enqzdFBhgpJ327Nnj5OTUv39/pgNhANpunm1/mFlt\nDTNprJk082kwuCnM5VK2bp08eTIlJSUiIoLpQBiAtptn2x9mVlvDTBprJs18GsxuCpwxAwAAsAjO\nmAEAAFgEiRkAAIBFkJgBAABYBIkZwAg0NDRQFNWpUydnZ2dXV9eXXnqptrZWJ0ueO3fupEmTdLKo\nzZs3v/322zpZFIA5Q2IGMBrFxcUlJSVZWVkCgWDu3LkdX2BdXd2xY8d2797d8UUBgK4gMQMYGZFI\n9N///vfs2bMFBQVqtXrx4sWurq5BQUFvvvmmWq1+6aWXYmJiCCFKpdLDw6O0tLTpDzUazfLly318\nfHx9fT/++GONRrN48eKKiop58+Y1zdOrV68rV64QQiIjIxctWkQI2bx586xZswgha9eu9fb2DggI\nWL58ufZtjoenaK1YsWLq1KlKpdJQmwTApJjLWNkApkQoFAYFBaWnp1dVVWVmZubk5BBCgoODFy1a\nFBUV9e23386YMeP48eO9evVycnJq+quDBw8eOXLkxo0bhJBnn322b9++69evP3Xq1C+//NI0z4gR\nIxISEoKCgsrKys6ePUsIOXPmzMiRI0+cOBEbG3v58mUejxcVFRUTE+Pi4tJiinYJa9euvXr16u7d\nu7lc7F4A2gNnzADGiqKo0NDQrVu3Hjt2bOXKlcXFxQ0NDUOGDLl27dr9+/e3bt3a4nJ3QkLCnDlz\nLC0tLS0tZ86cmZCQ8PAytYk5KSlp2LBhFEVp0/OwYcMSEhKqqqqioqImTpyYk5OTlJT08BRCyL59\n+z7++OORI0c2H58ZANoEh7QAxqexsTE1NdXf3//8+fPz589/8cUXx4wZc+rUKUIIl8sdO3ZsTExM\nYmJi81NhQohGo9FWMSGEUBTVVGynuX79+iUnJ58+fbp///4cDic2NtbW1tbJyUkkEi1YsGDp0qWE\nEKVSqdFo1q5d22JKTEyMu7t7fHz8c889N2XKFEdHR71vCABThDNmACPT2Nj4zjvv9O/fv3PnzseP\nHx83btzbb7/t7OyclpamUCgIIdHR0e+9996ECRP4fH7zPxw0aNC2bdvq6+tlMtm2bdsGDx788MJ5\nPF6vXr1+/vnnAQMGDB48eM2aNSNHjiSEPPfcc9u3b6+pqZHL5cOHD9+/f//DUwghvXr1CgoKmjdv\n3r///W9DbAsAU4TEDGA0Onfu7Obm1qVLl9ra2s2bNxNCpk+ffu3atbCwsLfeeuu1117TFovTnuzO\nmTOnxZ+PHTt28ODB3bt37969+8iRI0ePHt3qWrSZ2MPDY+DAgQUFBSNGjCCEhIeHz5kzp0+fPr6+\nvmFhYZMmTXp4StMSPvjgg2PHjl24cEEvWwHA1GGsbABTc/Xq1fnz51+9epXpQACgPXDGDGBSdu7c\nOWXKlPXr1zMdCAC0E86YAQAAWARnzAAAACyCxAwAAMAiSMwAAAAsgsQMAADAIkjMAAAALILEDAAA\nwCJIzAAAACyCxAwAAMAiSMwAAAAsgsQMAADAIgzXY66rq9Ph0miapmlaqVTqcJlM4XA4rZbLNTqm\n1CnEhPqFEMLj8bR1lJkORDdMqWsIeofdeDyeSqVSq9W6WqClpWXzjwwn5vr6eh0uTSAQCIVC3S6T\nKZaWlqbREFPqFGJC/UII0faLtoSzCTClriGECAQChUKB3mEngUCg2/+dFokZl7IBAABYBIkZAACA\nRZCYAQAAWASJGQAAgEV0n5g//fTThoaGpo8KheLLL7/8+OOPN2/erPN1AQAAmBhdJuba2tq33347\nKSmp+cSLFy+6urouX768qKgoPz9fh6sDAAAwPbp8XUosFn/++ecfffRR84mZmZkhISGEEG9v78zM\nTHd3dx2ukUEKlTr+duXOlLLrxXXVDcpOYv4wX9uXwjoFOoqYDg0AAIyYLhMzRVEcDoem/3EWLpPJ\nHBwcCCESiaRpOJFt27ZVVVWJxeLo6GgdBsDhcDgcTosXwvThzN2qfx24zedQL4e7/3ecrb2Il3e/\nIe568Zitt94e5PXWAE+aojq4Ch6PZ4CGGIDBOsUwTKZfCCEURQmFQj6fz3QgumFKXUMIoWkavcNa\nuu2dh9+H1vsAIyKRqKKiwsfHp6KiwtHRUd+r0ze1RrP61N3vL+StGuk3O8ytKf86WvJ7uVnP6+02\nM/bG3UrZt88HdTg1AwCAOdJ7Yvbz88vJyQkPD8/Nze3Xr5924syZM7U/lJeX63BdAoGAoijdDvPZ\nnFylXvz7nfQy2ZE5od52Qpms5YrcLcne6UHPx9xa+nvqiiGeHVmXpaWl/hpiSPruFAMzmX4hhPD5\n/IaGBlMaW8pkuoYQwuPx0Duspe/e0ePrUhkZGevXr4+IiCgsLFyzZo2Tk5NR32CWqzRzdqcX18oP\nzAr2thM+ajZ7C+6u6K47b5Ydzqw0ZHgAAGAaKGYHSdf5GbNQKKyurtbhMrUUKvX8fZlSuSpmSqCQ\n++SjmWN3qhYfyDr7cg8nS1771mgyB5j66xRGmEy/EELs7OykUinOydjJ1ta2rq4OvcNOOu8diUTS\n/CMGGHkyjYa8dSi7rE6xdfJTZWVCyDAfu9H+9p+eytV3bAAAYGKQmJ9szbn8q0XSmCmBIl4bNtcH\ngz0OZ1ZdK5LqLzAAADA9SMxPsCul7NdrJbFTu9pZtO1BOYmIt6Sf2/ITOGkGAIA2QGJ+nMuFte8d\nzdk8McDdRtCOP3+xV6esyvqL+bU6DwwAAEwVEvMjFUvl8/ZkrBzqGd7Zqn1LEHLpReEuX50v0G1g\nAABgwpCYWydXaebtyRgf6BDdzakjy5kX1ulakTSlRKarwAAAwLQhMbfuvaPZQi798XMdGiSEECLm\nc6Z3c9p0tUgnUQEAgMlDYm7F1uSSU3erN7zgz6V1MK7mnJ7Oe1MrahqVHV8UAACYPCTmlq7cq11x\nMm/TBH8HkW7GK/W2E/Z2s9qVosuhVAAAwFQhMf9DaZ1i3p6Mz4Z69XQR63Cxc3o6b00u0eECAQDA\nVCEx/02hUs/fmzEmwGFaNx1XwRrua1skVaSV4REwAAB4AiTmv/37WA4h5JMhHjpfMp9Dj/W3x9Vs\nAAB4IiTmBzZdKT6ZfX/TRH8eRy/bZEqI4+5bZWpGS4YAAAD7ITETQsiZnOqVp/O3TAqUiNpZDOqJ\n+na24tAURgEDAIDHQ2ImdyobXt6f+c2YLiHOIv2thaLIuECHA7cr9LcKAAAwAeaemCvrldPi0l4N\ndxkb4KDvdY0NsD+YUYmL2QAA8Bi6eVW33SwsLHS4NC6XS9P00y+zXqGasyd1UBf794b46jCMR+nv\nI9SQzJQKebi7zRNn5nK5ut04TGlrp7CcyfQLIYSiKIFAwOUyvBPQFVPqGkIITdPoHdbSbe8olS2H\nn2K41+vr63W4NIFAQNP0Uy5Tpda8tC9DxKVWPeeu2zAeY7S/3Z6bRaES/hPnfPqGsFybOoX9TKkt\nQqGwsbFRoVAwHYhumFLXEEIEAgF6h7X03Tvmeyn7vWN3C6obN03Q12PYrRrtb384s8pgqwMAA5Or\nNKey76+/WLjuQuGB9MoKGcbihTYzkeskbbX6TN7ZnOrfZ4VY8jmGXG+Eu1WJVH63qsHbTmjI9QKA\nvqnUmpgbpatP59uLuH3crGiKHM2qWnwgc1Kw5N0B7s7iJ18nA9Ayx8T83Z/3Ym+U/T4rRH8vRz0K\nn0MP8rI5dqfqld4uBl41AOhPnVz18r7MgprGDRP8n/GwbpqeX93438SCgRuufzmqiwGeMAXTYHaX\nsn+5Wvzdn/d2TwtytxEwEsAwX7tjWfcZWTUA6EOdXDVheyqfSx2ZE9o8KxNC3G0EX432+XG839uH\ns78+X8BUhGBczCsxb7te+vnZ/N+mBfk6MPZ84FAfuwt51VK5iqkAAECHlGrNi3sz3Kz5myb4W/Ba\n36M+28X20OzQ7TfKVpzMNXB4YIzMKDHHXC/9NCFvV3RQkKMeBxJ5IidLXqCj6GxONYMxAICurDqd\nXytX/TDej6YeV77d2064f0bwH+mVq8/kGSw2MFLmkpi3Jpd8cip3V1TXUGdLpmMhz3axS0BiBjB+\nZ3Ort10v+Wm8n5D75H2pixV/z/Sg7dfLNl9FEVh4HLNIzJuuFH+WkPfbtKBunZjPyoSQwd42Cdm4\nzQxg3GQK9Rt/3PnPcO+nf2DF3UawY2rXlafzTt3FoTk8kukn5h8uFa1NLNg7I5gN58pafdzExVJ5\nXnUj04EAQPv9N7EgwMFiYpCkTX8V4iz6dqzvgv0Zdyob9BQYGDsTT8xfJhb8cOne/hnBzN5XboHP\noft5WCfcxUkzgLHKqqjfdLV49XDvdvztCD+7V/u6ztmdXoeHQKE1JpuYNRryyam87ddL42cG+zH3\nDPajPNvFFlezAYzXytN588I6tXukoDcj3PwcLN744w6q2sDDTDMxqzWapUezD2dWHpgV4mXLxjG2\nBnraJObVqPFPCWCErhVJz+XWvB7h2u4lUBRZP9YntUz2/aV7OgwMTIMJJmaFSv3qgawrhdL4mcGu\nViwdBi9AIuLQVFqZ6YzqDmA+Vp3Ofy3C1VbYoZETxXzOLxP8vzpfeD6vRleBgWkwtSE56xWqeXsz\nquqVe6cH2XTs30avKIo842F9Nrc62IlFN78B4Imu3pPeKKnbPNG/44sKdBR9McL75X0Zx+d1c2Hr\nWQQjMsrr96SWn82tzqlquN+gEgs43rbC3m7isQEOfTtbPfaNcVPA3tTVDg1K9eQtV7hE81t00KOG\n4GGPAV42R7OqFvbBoNkAxuSbC4Uv9+qkq/o3E4IkV+9JX9ybsX9GEN+Ale5YK61M9vHJ3EuFtc8H\nOiwMd/V3ENpb8GoaVVkV9edyqxfsz7ARcpf0c3uhq8SE0zOlYfQ2Z3l5uQ6XJhAIdqdVDve0MIrv\nd3ZVw7Bfbmb8qzeHbuX7ZWlpWVdXZ/iodE4gEAiFwupqE3lr02T6hRBiZ2cnlUpNpuKvYbrmdpls\n9NaUK4vC7Cx0dlajVGumxKZ52Ai+GePTNNHW1raurk4nvZNUUHsos+p8Xk12VX1VvZJLU952wp4u\n4jEB9sN8bA1T9/ZpekehUq85V7jxStHCPi4Lw12sBa1sYaVaE3+74otzBbZC7tqRXZi64qjD3tGS\nSP7x0p0uz5gVCsW6deukUqmnp+fcuXO1E8vLy9966y0nJydCyJIlS9zc3HS4xofN6OlqLDmgi51Q\nzKevF9eFuYqZjgUAnspPSUUzujnpMCsTQrg0tfEFv+G/3vwxqUiHl9CUas3uW+Xf/nmvUqZ4vqvD\nv/q5+jmIHERcpVqTWVF/Mb/2P2fylx3PeSPCbVYPp1ZPDwypWCqfszudS1MJL3X3ePSALVyamhgk\nGRdg/2NS0bhtKa/1df1XpJshg8+qqO+s/wJIuvx6Xbx40dXVddq0aatXr87Pz3d3dyeElJaWjhkz\nJioqSocrMhn9PKzP59UgMQMYhQqZck9q+dmXe+h8yfYi3rbJgeNjbnW2FowNsO/4Ao/fub/8ZA6P\npt5+pvOYAHvuP1OXRMSLdLde0s/t1N3qT07lbLtesn6sb1fmBnu4WVI3Pe72hCCH5c96Pk2W5XHo\n1yPcRvrZL4zPPJdb89Pzfk6Whqjh+2dB7ezd6etG+0RJdNBHj6HLixiZmZk+Pj6EEG9v78zMTO3E\n0tLSwsLC9evXnzp1SofrMg2RHtYX8vFAJoBx+PVayZAudo85n+uIQEfRLxMD3vzjzrncDl3zK6xp\nnL07/a1Dd96MdDv5YrfnuzpwH53qnvW2OTa32wtdJWO33oq5XtqR9bbbnwW1k3akvt2/8yfPebXp\n3NfPweLQ7NAAicVzm24kFdTqL0KtgxmV0+Nufz7ce4Sfnb7XpcszZplM5uDgQAiRSCRNtxMsLCxC\nQkLCwsK+/vpre3v77t27E0ImTZqUm5vr5OR08OBBHQag1eJiPZuN6Sb8NCHf3sGh1bo0FhasGxel\n3YyoU57IlPrFxsaG6RB0Sa9do1Rrfk2+tmNWmETioKdVPC+R/MoXzYtN3v9in4ESblt7R63RfJeY\n89Hh9Ll93HfO7WvV2j3aVq0Y6zimu8fEX5JypJq144L0dGW41d45k10x87f0nyZ3n9qjnS+Fb5ju\n+GtS/rRdt756PnheuHvHYnyk7xNzlh3K3vtinyG+D3ZlOvzfkclkLaboMjGLRKKKigofH5+KigpH\nR0ftxL59+2p/GDJkSEZGhjYxb9myRaVS0TRdUVGhwwAEAoFAIKipMZpzUAea8GlyJi3/4XG8TeYh\nIz6fLxQKjahTHs9k+oXo4QEWZum7aw7crrAR0ME2RLd7rRYGuPC+Ht1l/MZLm6K6D/USP33vpJXJ\n3jp0RyZX74ru2tNFLJdWV0jbsN4uInJkTsj0uLSJG6t/fN5P58/Ptto7SQW10XFpX432ec5d0JGt\nOraLyCU6cPZvqZdzSp/yYvjTU6k1H5/K3Z9WsW9GULAdpY3TxsZGJpPp8H9HJPrHfQRdJmY/P7+c\nnJzw8PDc3Nx+/fppJ27fvj0oKKhHjx55eXm+vr7aiZaWD/JQQ4Muh3HXPmHO7HPmbRXhbn0+rzrk\noWcLNRqNcTXk8UymLabXLybTHH235ZerxXN7Ohtgc43xt7cWcObvurEw3PWNvi5PTDPVDcr/ni/c\nmlzyRqTba+EuPA7dviCdLHn7ZgTP+i195q7bWyYHCji6TG8P905qmWzGb7c/H+49LsC+41s1zEV8\nbG7onN3p0+LSfn7eT1eDWNQ2qhbGZ5ZI5YfnhHQS85vHqdfvmy4PiyIiIgoLC9esWePk5OTu7p6R\nkbF+/fqhQ4fGxsYuW7bs/v37kZGROlydaejnYX0hT+93RwCgI7Iq6q8VSaeEOBpmdQM8bRIX9zuY\nXjFu263rxY+8DCCVq9ZfLAz/8Vre/caEl7r/K9Ktg+8+ifmc2KiuGo1m1m+3G1V6PATJvd84NTbt\nvQGdJwXr7CaXixU/fmawvQV3+Oabt8taXhxuh4zy+hG/3hRy6QMzQzqJDTr8i6m9x2x0r8ymlskm\nbU9NfaN3i7vMJnPJ1Bg75TFMpl8I3mNui+Unc6WNqi9HddHT8h9ma2tbVVO7LjFv3YV7vd3EU0Mc\nwztbdbYWaIimRKq4ek96NKvqQHpFHzert/t37uNmpcNVN6o0s3alcWjq10kBurqm3bx3ymWK0VtS\npoY4vt2/s04W3sIPl4q+TCxYNcxragcOpHbeLPvgeM6bka6L+7o9/AiQMb3HDO0QKLFQqDV3Kut9\n2VcCCwAIIXKVeufN0tipXQ28Xj6HfjPSbU5P510p5VuTS5YculOvUFMU4dF0t06Wg7xsjs4J1cd+\nQ8ChtkwOnBZ3++V9mRsn+D/moe52qJOrpsXdHuxtq6esTAhZFO4S5ipesD/zVPb91cO92zqkeYVM\n+e7R7MuF0pgpgX076/KI5+khMTOMpqhwN6s/C2qRmAHY6XBmlYsVv4cLM+MN2Aq5L/fu9HLvToSQ\n6galWkN0O7xJq4RcetvkgCmxaa8dyPp+nK+uHqeSq9Rz92R0tuavHualkwU+St/OVgkvdXvv6N1n\nfk7+5DmviUFPNX6nSq2JuVG6MiFvuK/d6Ze6MVhtwQiGrjR54Z3FF/E2MwBbbbteOrO7M9NREEKI\njZBrgKysZcnnxEYF3qmsX3Lojk4K1Ko1mlcPZClU6h+f9zfAWF22Qu6P4/2+GeO75mz+8F9v/pFe\n+ZhWNKo0sTdKB2y4vvFy8aaJAevH+jJbAwlnzMyL9LDZfqOM6SgAoBX51Y0X82t+ft6P6UAYYC3g\n7ooOmrD91tIjd78Y0aUjRSM0GvJ/h7Jzqhr2Tg/W7fPejzfUx3aQV/cdN8s+O533wfGc0f52/Tys\nAyUiBxFPrSHFUnlamexMzv3DmVVetsJ3B7iPC7RvdVQJA0NiZl5PF/G9msYSqdzZsA/+AcAT7bxZ\nNsrPvoOll42XnQV3z/TgF2JuvXXozpejurQvaWk05K3fb1+5J903I9hKoJuqXE+Px6Fn93Ce1d35\nUmHt4czKHy4VZVXUVzUouTTtYMENcBT1c7feN8M1iLkRSR9mpt82VuFzqB4u4kuF0nG6GCMXAHRF\nrdHsuFFqyIexWcjegrtvRvDkHamL4rPWj/Vp63Paao3m7cPZl+/V7Z4WZG+o6/APoyjSt7MVUw9z\ntRXuMbNCX3frP3GbGYBlEvNqNIQM9DKpgUvbwd6Cu29GUFGtfMau9PsNyqf/wwal+qW9GdeL647O\n7+1okDoTpgGJmRXC3awu6X8QdgBok9gbZVGhjmy46cg4awF317QgR0veiM03b5U+1fAdufcbx227\n1ajUxM8IdhAhK7cBEjMr9HET3yqVyRRqpgMBgAdqG1V/ZFRGhzoxHQhbCDjU9+N8X+rdady2lK/P\nF8gfPTSYWqPZdr106C83nvW22To5wJJv6PvKxg73mFnBXsTzshNcvVfb39PcL5oBsET87YrunSw9\nbfVS5NF4vdLbZYCnzduHs7ddL3013HVKiGPz57kalOqDGZXf/XlPrtJsmRwQ6W7NYKjGC4mZLfq4\nWV0qkCIxA7DEjhulM3uw4vVltunqKPpjVsihjMoNV4o/PJET6iz2sBXwaCq/uvFakTRAYvFyb5dJ\nQQ4dHLjbnCExs0Xfztb708oJcWM6EAAg2VUNt0pleFHiMUb524/yt6+sVyYV1N6rbVSoNSP87Hq5\nit2scY2ho5CY2SK8s9WHJ3LUGg2eNAFg3I7rpeMC7XFz9InsLbgj/OyYjsLU4FIDW3SxE/JoKr28\nnulAAMydWqPZdat8Wjc89gXMQGJmC4oifTpbJRXipSkAhp2+W82jqYjOeHAJmIHEzCJ93MR4mxmA\ncdtvlEZ3c8Q9JWAKw/eYLS0tdbg0DofD4XB0u0xDGuTrFHMjVRs/j8cz3oY0Z+yd0oLJ9AshhKIo\noVDI55vICO266pqqeuXRO/c/H9PV0lLY8aW1G03T6B3W0m3vKBSKFlMYTsx1dXU6XJpAIKAoSrfL\nNKRAO27B/fq7pfedLHmWlpbG25DmjL1TWjCZfiGE8Pn8hoaGh3cKRkpXXbPlclFfN7E9T8VsR/N4\nPPQOa+m7d1q/lF1aWqqn9cFj8DlUNxdxEq5mAzBnx82y6eyovgxmq/XE3Lt37wkTJuzfv18ulxs4\nIDMX7mZ1Cc9/ATDkVqmsoEY+2h+vLwOTWk/M2dnZCxYsiIuL8/f3X7JkSXJysoHDMlt9UM0CgDmb\nrxVHhUj4HDz3BUxqPTFzudyRI0d+991377zzzoYNGwYPHhwWFpaYmGjg4MxQX3erG8V1DUpUswAw\ntAalem9qxXS8vgxMaz0xx8TEjB8/PjQ0NCUl5ffff6+oqNiwYcPs2bMNHJwZkoh4btb868Wm85QE\ngLHYm1oRILEIdBQxHQiYu9afyj558uTixYuHDBnC5T6YISwsbNWqVQYMzHz1dbf+M79mSEAnpgMB\nMC+brhYv6OPCdBQADyXm6Oho7Q+bNm3atGlT0/TY2NioqCjDxWXG+riJj2ZVMR0FgHm5Xvz/7d15\nQBPX1gDwm42QECAhYTFhDyCCiKICRRBEiljUulWt2mqLra1albpUX22t+tpai9bK069PbatVbH2u\nuFYFoQLWFXcRAmEXCIQ1CSEJme+P9PkoRECYrJ7fXzjO3DmZw3AyM3fulZY1yif6sg0dCABdCvOC\nBQsMEgd4Jphn/eUf5dhz5yAHAOBvX2717EAHKnT7Akagc2GOiYkRi8W7d+9eu3atQQICAzl0DMOe\n1EpcreBvBAD6UC9TnsgT/5EQaOhAAEBIa+cvW1vbgwcPCoVC/UcDEEIEAgp2tr5W1mToQAB4Wfxy\ntybS3daNCRMJA6OgpfMXmUz29/cfNmxYWFjYs9FNjx49qt/AXmrBPOs/y5pmDGIaOhAAzJ9Kje27\nI9o50cvQgQDwF+29spcuXbp06VI9hwKeCXGxSTkrRMjN0IEAYP5OPRHbUkmjXGGSR2AstL/HHBYW\nxuFwGAwGg8GgUqmbN2/Wc1gvuWEDGE+b5dUSGA8V+HGx2QAAIABJREFUAJ3bef3p4lCuoaMA4H+0\nXzEnJiaeO3euurp62LBhjx8/XrJkiZ7DeslZkAhBPJsbFS2T4OUNAHTpsrCxoVU1ZRCcaMCIaL9i\nvnjx4qNHjxITE7du3Xr79u2HDx/qOSwwyp31ZzkMmg2Abn3/Z+UHwQMoJO1/CQEwCO2/jo2NjQih\n4ODgK1euuLm5FRcX6zcqgEa5M6+VQ8dsAHQoq7SpUNz6FkzyCIyM9lvZU6dOnThx4oEDB1avXi0S\niTgcTm/aUiqVO3bskEgkbm5u8+fP72Yh6FGoi21+nbxJrrK11J4jAEA/fZtVsTzMmUaBy2VgXLT/\nRiYnJyclJTk4OOzZs8fKymrnzp29aevatWtcLnf9+vVVVVXl5eXdLAQ9srEkD7KnwdzMAOjIZWFj\nSaP87WFwuQyMjvarMQKBcO/evb179yYlJVVXV/P5/N60JRAIBg8ejBDy8PAQCAQuLi7PW3jp0qWW\nlhYajRYREYHbR0GITCYTiURLS0sc2zQUMpkc7m5386lsor9pj6pvTklBCJHJZLP5LAQCwcLCgkQi\nGToQfLxQatrV2MbM8s/H8m2taDqNqs+IROJLmx3jh292VCpVpyXaC/P69etv3rxZUlJCIBB27tx5\n/fr1LVu29Ni6TCZjs9kIIQ6HI5VKu1l4//792tpaW1vb6OjoPn+YrohEIoFAoFAoOLZpKEQiMZLP\n3pZVbOofx5ySghAiEolm81kIBILma5OhA8HHC6Vm3/UKCok4b6QzkWCkA9++zNkxfvhmB+syNYL2\nwvzbb7/dvn17ypQpZDL5999/9/b27k1hptPpYrGYz+eLxWJ7e/tuFq5YsULzQ11dXR8/ijZUKtXS\n0rKlxRxu/1pZWQ3lkO9UNleLG60sTPhbszklBSFkZWX17PulqWOxWDKZTKlUGjoQfPQ+NWKZav3F\ngp+mDpRKJLqOqs+YTObLmR2TgHt2rK2tO/5Te8FXKBTPdimXy2m0Xt3t8fb2LikpQQiVlpZ6e3t3\nsxD0hh2d4mVHu1FpvH87ADBF/7hUPM6bBUN9AaOlvTAvXrw4Nja2uLh4y5YtERERH374YW/aCg0N\nrays3LJli4ODg4uLS0FBQXJycqeFuAZv/sLdbHNK4aUpAHBzvqA+q7RpQ7S7oQMB4LkIXe9ua6Sn\np2dmZtLp9JiYmJEjR+po97q4ld3UZA6VTHPn52x+/b+uPz3/9mBDh9N35pQUZF535FgslkQiealu\nlj5tUYz58d738fw4bzv9RNVnTCZTKpW+VNkxIbhnp9M7ydqfMYtEorFjx44dOxavvYK+CXO1eT9V\nIFG0M0z5MTMAxqCtHVtwsuDNIQ7GX5XBS077rewRI0ZMmTIlNTVVoYB5FAyJRSP7cCyvwdicAPSP\nGsM+TC1gUIifRsIDNWDstBdmoVC4cOHC//znPz4+PomJiXfv3tVzWOCZSHfmH8WNho4CABOmUmPL\nzglLm9p+mjoQhsUGxk/77yiZTI6Li9u5c+eqVav27t0bFRUVFBSUk5Oj5+AAQijSg/lHiZk8oAVA\n/5rkqvnH8wvFrUdn+cEjIWAStBfmlJSUSZMmBQQEPHz48MyZM2KxeO/evW+//baegwMIoVBna2F9\nq0hqJn1AANCnDGHjmJ/uW1FIR2cNYtFg2HlgGrT/pl6+fHnJkiXR0dFk8l8rBAUFffXVV3oMDPyF\nRiGOdLa5UtI03b9XU4kAANrasbTChp9yqwvqWj8b4zpjsL2hIwLgBWgvzD/++GPXhTNnztRxMEC7\nSA/bP4ob9VmY1RhW2ayQKto97Swt4JkcMA7KdvUjkay4QV4tUUoU7XKVmkggWFv89ftpYWHRLJOL\npMpCcevtpxJPluXcoY4HpjvQYfIoYGrg3o4JGOPB3HurGsOQHob1rZcpd92oOnBP1KZS08jERrlq\nki87MYzna0/X+b4B0EbRjp14XHcyry67tJlNp3ixaVxrCsOCRKOQ2lTt9bK/nvKQye1kpObZUCPc\nbHdNsuZaWxg2bAD6DAqzCQhwpKsx7KFIGuBopdMdZZU2LTpVGOxsfXiG79ABDIRQtUSx51Z1/IFH\nn49xnQcT5AH9Uqmx/XdqtuVU8GyoswLst47nd1NuzWwIC/Ayg8JsAogEwlg+K62oUaeF+dQT8cfn\nhUlxnpMHsZ8tdGJYfBblOsmX/c7x/GqJ4pMIeAcU6ElerezDUwIykbB7sg+Maw1eKvD0xTSM9WSm\nFTXorv0z+eIV54UHp/t2rMrPBDpZpc7xP3RP9H83qnQXAwDPpNwTTTjwaMZg+4vzA6Aqg5cNFGbT\nEOVhe7dK0tDaeT5tXNyrli47K/xpqk+oi/Xz1nGxpR6Z5bc1p+IKvFQNdAnD0IaM0s1Xyo++OWhR\nCNdo50sGQHegMJsGpiV5ONc6XYj/EGANrap5x/K/iHaNcLPtfk0fDm1rnOeHpwTwUjXQEQxDqy8K\nLxU2XpgfMGwAw9DhAGAYUJhNxmsD7c7mi3Fvdvm5ogh327eG9qpj1+uD2OO8WWsuCHEPAwCE0D/S\nSm6Ut5yc4wd9qsHLDAqzyYj3scsobpKr1Di2eeBuzZNa2eZX3Xu/yRfRbreeSs7m1+MYBgAIoaTs\nivSihqNv+nHoFEPHAoAhGbhXNpVKxbE1MplMIBDwbdNQSCRSpw/i5UDl29Gyy6XxvviMNFLR1LYh\no+zonAA76xd4R9meSt0a77PqnGD8IEdaL4ZuIJPJRCLRPJKCtOXFdBEIBAqFQiQaxbfzow9FP+XW\npC8IcmZZ9q0Fc0oNQohIJBpPdvoPstMNlapz5yEDF+b29nYcWyORSLi3aShqtbrrB5ngyz6VVxvn\nzcJlFx+dejJ3qOMILuNFj9h4b9ZuDn1bVsmaSLceVyYSiRiGmUdS0HPyYqIwDDOSj3Pnacvy0wWH\n3/R3saH0OR4j+Sx4MZ7s4MKcPgvCOzsYhnVaYuDC3PWbQn+QSCQMw/Bt01C0fpB4b9b4Xx5Kxymp\npP52VT3+uE5QJ/t5ik/fDtfGaNfXfnk4e4h9j88C9ZaUvFrZuYL6BzVSiULtZkt9xdVmki/bot8H\nqhOz+QXTaG9vN/jHaWhVzTua90W064gB9P4EY2ap0XydNZtPBNl5IWZyn+Ql4cOhubOoFwT9fb7b\nKFetSyv5Ns6zN/eitRpkT5/ix/42q7yfkeCiqkXxfqpg4sFHpY3yV/msuYEOPBvqnltVgf+6nXJP\n1OXLKDAiGIYWnRaMcrXpZfdDAF4GMPKXiZnub3/0Ud0kXy3DgPTel3+UjXK1ifZk9qeRleEuYbvv\nLgnl8e36+FAQF1mlTQtTBRN92TcWDrXr0Gno41G8nLLmFeeLzuSLd7/uY02FiXiN0Q83qyqaFT9P\nHWjoQAAwInDFbGKm+LEzhI39GWkk96nkxGPxphj3fkbCtbaYN8xxi0Evms8V1L9zvGDLOM9vYj3s\nunTlHeVqk5kQSKeQ4g88rJYoDBIh6Mb9amlSdsXu170tyfCHCID/gfPBxDgxLMJcbY48qu3b5u1q\nbNUF4eoIZycGDu+JLg3lXSpqKKhr7X9TfZBW1Lj0bNG+qT4TBto9bx1LMnHvZJ9wN5tpvz6uk8G4\nKEZErlJ/eFqwdrTzIJi4DIC/g8Jset4JctyXW9O3R6c/5lZjGEoIcsIlEjadPG+Y47arFbi09kI0\nMxzsft07vKcBywgE9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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "prophet_plot_components(m, forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prior scale for holidays and seasonality\n", "If you find that the holidays are overfitting, you can adjust their prior scale to smooth them using the parameter `holidays_prior_scale`, which by default is 10:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", " ds playoff superbowl\n", "17 2014-02-02 1.315141 0.7989651\n", "18 2014-02-03 1.987399 0.6608394\n", "19 2015-01-11 1.315141 0.0000000\n", "20 2015-01-12 1.987399 0.0000000\n", "21 2016-01-17 1.315141 0.0000000\n", "22 2016-01-18 1.987399 0.0000000\n", "23 2016-01-24 1.315141 0.0000000\n", "24 2016-01-25 1.987399 0.0000000\n", "25 2016-02-07 1.315141 0.7989651\n", "26 2016-02-08 1.987399 0.6608394\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays, holidays.prior.scale = 1)\n", "forecast <- predict(m, future)\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.222176 1.201116\n", "2191 2014-02-03 1.899859 1.459466\n", "2532 2015-01-11 1.222176 0.000000\n", "2533 2015-01-12 1.899859 0.000000\n", "2901 2016-01-17 1.222176 0.000000\n", "2902 2016-01-18 1.899859 0.000000\n", "2908 2016-01-24 1.222176 0.000000\n", "2909 2016-01-25 1.899859 0.000000\n", "2922 2016-02-07 1.222176 1.201116\n", "2923 2016-02-08 1.899859 1.459466" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(holidays=holidays, holidays_prior_scale=1).fit(df)\n", "forecast = m.predict(future)\n", "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnitude of the holiday effect has been reduced compared to before, especially for superbowls, which had the fewest observations. There is a parameter `seasonality_prior_scale` which similarly adjusts the extent to which the seasonality model will fit the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Additional regressors\n", "Additional regressors can be added to the linear part of the model using the `add_regressor` method or function. A column with the regressor value will need to be present in both the fitting and prediction dataframes. For example, we can add an additional effect on Sundays during the NFL season. On the components plot, this effect will show up in the 'extra_regressors' plot:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] }, { "data": { "image/png": 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8dOlSXazepAS52GDfM13x4m8n8Mmu84i6tAOrJySiQ6B5TCV3O1er6jDwy31I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\nnVlM6uhHlKedBiPVvrp6NZtOFrI98yLnS6txsTYjztuegeFumJvICmd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MAAAg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\nxYoVmDBhAmpqanDvvfeKDoxITtz/ExGRnokqAC0WC4YMGYLvv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ADdu3dHbGwsSkpKkJOT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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def nfl_sunday(ds):\n", " date = pd.to_datetime(ds)\n", " if date.weekday() == 6 and (date.month > 8 or date.month < 2):\n", " return 1\n", " else:\n", " return 0\n", "df['nfl_sunday'] = df['ds'].apply(nfl_sunday)\n", "\n", "m = Prophet()\n", "m.add_regressor('nfl_sunday')\n", "m.fit(df)\n", "\n", "future['nfl_sunday'] = future['ds'].apply(nfl_sunday)\n", "\n", "forecast = m.predict(future)\n", "m.plot_components(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NFL Sundays could also have been handled using the \"holidays\" interface described above, by creating a list of past and future NFL Sundays. The `add_regressor` function provides a more general interface for defining extra linear regressors, and in particular does not require that the regressor be a binary indicator. Another time series could be used as a regressor, although its future values would have to be known.\n", "\n", "The `add_regressor` function has optional arguments for specifying the prior scale (holiday prior scale is used by default) and whether or not the regressor is standardized." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }