{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# COVID-19 Data Analytics\n", "### Annie Bryan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import csv\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import numpy as np\n", "from scipy.optimize import curve_fit\n", "from scipy.signal import argrelextrema\n", "from datetime import datetime, timedelta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Obtaining data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "url = \"https://raw.githubusercontent.com/CSSEGISandData/COVID-19/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_US.csv\"\n", "df_raw = pd.read_csv(url)\n", "df = df_raw.iloc[:,np.r_[6,11:len(df_raw.columns)]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Cleaning data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# aggregate by state\n", "aggregated_df = df.groupby(by=\"Province_State\").sum().reset_index()\n", "states = set(pd.read_csv(\"https://raw.githubusercontent.com/jasonong/List-of-US-States/master/states.csv\")[\"State\"])\n", "is_state = aggregated_df[\"Province_State\"].isin(states)\n", "df_by_state = aggregated_df[is_state].reset_index().iloc[:,1:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exploring data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# new daily cases\n", "states = df_by_state.iloc[:,0]\n", "daily_data = df_by_state.iloc[:,1:len(df_by_state.columns)].diff(axis=1).iloc[:,1:len(df_by_state.columns)].applymap(lambda i: int(i))\n", "daily_cases = pd.concat([states, daily_data], axis=1)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def df_n_day_avg(df, n):\n", " states = df.iloc[:,0]\n", " data = df.rolling(n, axis=1, center=True).mean().iloc[:,int((n-1)/2):len(df.columns)-int((n+1)/2)].applymap(lambda i: int(i))\n", " return pd.concat([states, data], axis=1)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# 3 day average\n", "df_3_day_avg = df_n_day_avg(daily_cases, 3)\n", "\n", "# 5 day average\n", "df_5_day_avg = df_n_day_avg(daily_cases, 5)\n", "\n", "# 7 day average\n", "df_7_day_avg = df_n_day_avg(daily_cases, 7)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def series_n_day_avg(series, n):\n", " return series.rolling(n, center=True).mean().iloc[int((n-1)/2):len(series)-int((n-1)/2)].apply(lambda i: int(i))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# aggregate across country\n", "us_daily_cases = daily_cases.sum()[1:]\n", "\n", "# 3 day average\n", "series_3_day_avg = series_n_day_avg(us_daily_cases, 3)\n", "\n", "# 5 day average\n", "series_5_day_avg = series_n_day_avg(us_daily_cases, 5)\n", "\n", "# 7 day average\n", "series_7_day_avg = series_n_day_avg(us_daily_cases, 7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualizing data" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/anniebryan/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:35: MatplotlibDeprecationWarning: savefig() got unexpected keyword argument \"optimize\" which is no longer supported as of 3.3 and will become an error two minor releases later\n" ] }, { "data": { "image/png": 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HDRs2pFOnTowePbrUe0+aNImRI0fStWtXevfuXSzh1aVLF9LS0mjatCmNGzcGYOjQoWzevJn+/fsDEBQUxIcffoinp2exdbt3707Pnj3p2LEjzZs3Z8CAAQD4+/vzyiuvFMXZp0+fojn/+c9/uO222+jWrRuFhYW0atWKr7/++gR/TRERERERERGpLszh3SWni969e9uoqKhibZs3b6ZTp05uisi1MjMz6dq1K3/88QchISHuDgdwPEkvKCgIay0333wz7dq14/bbb6/Q3Nr8txIRERERERGpqYwxa6y1vY9t11G7Wmzx4sV06tSJf/3rX9Um6QTwxhtv0KNHD7p06UJKSkqJelEiIiIiIiIiUjtoxxPaRVOT6G8lIiIiIiIiUv1ox5OIiIiIiIiIiFQpJZ5ERERERERERMQllHgSERERERERERGXUOJJRERERERERERcwsvdAYhDREQEwcHBeHp64uXlxbEF0EsTFBREenp6FUQnIiIiIiIiInLilHiqRpYuXUq9evXcHUalKCgowNPT091hiIiIiIiIiIgb6ahdDbJjxw769+9P165dmTFjRlF7eno6gwcPplevXnTt2pUFCxYAcP/99/P8888Xjbvvvvt44YUXSqw7evRozjjjDLp06cKsWbMAeO2115g2bVrRmHfffZdbbrkFgA8//JC+ffvSo0cPbrjhBgoKCgDHDqx///vfdO/end9++42HH36YPn36EBkZydSpU7HWArB69Wq6detGjx49mDZtGpGRkYAjWTVt2jT69OlDt27deP311yvx1xMREREREZETYkzxl8hJMIeTAaeL3r1722OPsW3evJlOnToBcNv3t7HuwLpKvWePRj14fvjz5Y5p1aoVYWFhGGO44YYbmDp1aokxo0aNYty4cUyePJmZM2dy9913k56eTn5+PpmZmdSpU4eEhAT69etHdHQ0O3fu5JJLLuGPP/6gsLCQdu3asWrVKsLDw4ute+jQIerWrUtWVhZ9+vRh2bJlFBYW0r9/f7Zt2wbAiBEjuO+++wgPD+euu+7iiy++wNvbm5tuuol+/foxefJkjDF8+umnXHrppcXWBbjyyiu59NJLGTlyJJGRkbzxxhv079+f6dOn8/XXX7NhwwZmzZpFXFwcM2bMICcnhwEDBvDZZ5/RqlWroliP/luJiIiIiIiICx2bbDrN8gdyYowxa6y1vY9t11G7auLXX3+ladOmxMXFccEFF9CxY0fOOeecYmOWL1/O559/DjgSOXfffTcA1lruvfdefv75Zzw8PNi7dy8HDx4kIiKC8PBw1q5dy8GDB+nZs2eJpBPAiy++yLx58wDYvXs30dHR9OvXj9atW7Ny5UratWvHli1bGDBgADNnzmTNmjX06dMHgKysLBo0aACAp6cnY8eOLVp36dKlPPXUU2RmZnLo0CG6dOnC2WefTVpaGv379wdg4sSJfP311wAsXLiQP//8k7lz5wKQkpJCdHR0scSTiIiIiIiIiNQcSjwd43g7k1yladOmADRo0IAxY8awatWqEoknAFPK9saPPvqI+Ph41qxZg7e3NxEREWRnZwNw3XXX8e6773LgwAGuueaaEnN/+uknFi9ezG+//UZAQADnnntu0dzLLruMOXPm0LFjR8aMGYMxBmstU6ZM4fHHHy+xlp+fX1Fdp+zsbG666SaioqJo3rw5Dz74YNG6ZbHW8tJLLzFs2LDj/FoiIiIiIiIiUhOoxlM1kJGRQVpaWtHnhQsXFtU9OtqAAQOYPXs24Eg2HZaSkkKDBg3w9vZm6dKl7Ny5s6hvzJgxfP/996xevbrUhE5KSgphYWEEBASwZcsWVq5cWWzuggUL+OSTT7jssssAGDx4MHPnziUuLg5wHKc7+n6HHU4y1atXj/T09KJdTKGhoQQHB/P7778DFH0fgGHDhvHqq6+Sl5cHwN9//01GRsZxfz8RERERERERqZ6046kaOHjwIGPGjAEgPz+fiRMnMnz48BLjXnjhBSZOnMiTTz7JxRdfXNQ+adIkRo4cSdeuXenduzcdO3Ys6vPx8eG8884jNDS01KfMDR8+nNdee41OnTrRoUMH+vXrV9QXFhZGp06d2LRpE3379gWgc+fOPPLIIwwdOpTCwkK8vb2ZOXMmLVu2LLZuaGgo119/PZGRkTRq1KjoaB7AW2+9xfXXX4+HhweDBg0iJCQEcOzOio2NpVevXlhrqV+/PvPnzz+JX1REREREREREqgMVF6d2F6wuLCykV69efPbZZ7Rr187d4QCOp/AFBQUB8MQTT7B///5Sn7ZXmtr8txIREREREalWVFxcTkBZxcV11K4W27RpE23btmXw4MHVJukE8M0339CjRw8iIyP55ZdfmDFjhrtDEhEREREREREX0FG7Wqxz587ExMS4O4wSJkyYwIQJE9wdhoiIiIiIiIi4mHY8iYiIiIiIiIiISyjxJCIiIiIiIiIiLqHEk4iIiIiIiIiIuIQSTyIiIiIiIiIi4hJKPFUDW7dupUePHkWvOnXq8Pzzzx93XlBQkOuDExERERERERE5SXqqXTXQoUMH1q1bB0BBQQFNmzZlzJgx7g3qFBUUFODp6enuMERERERERETEjbTjqZpZsmQJbdq0oWXLliX6duzYQf/+/enatSszZswoak9PT2fw4MH06tWLrl27smDBAgDuv//+Yjun7rvvPl544YUS644ePZozzjiDLl26MGvWLABee+01pk2bVjTm3Xff5ZZbbgHgww8/pG/fvvTo0YMbbriBgoICwLED69///jfdu3fnt99+4+GHH6ZPnz5ERkYydepUrLUArF69mm7dutGjRw+mTZtGZGQk4EhWTZs2jT59+tCtWzdef/31U/kpRURERERERMTNzOFkwOmid+/eNioqqljb5s2b6dSpEwC33QbOzUeVpkcPqMDJOQCuueYaevXqVZTkOdqoUaMYN24ckydPZubMmdx9992kp6eTn59PZmYmderUISEhgX79+hEdHc3OnTu55JJL+OOPPygsLKRdu3asWrWK8PDwYuseOnSIunXrkpWVRZ8+fVi2bBmFhYX079+fbdu2ATBixAjuu+8+wsPDueuuu/jiiy/w9vbmpptuol+/fkyePBljDJ9++imXXnppsXUBrrzySi699FJGjhxJZGQkb7zxBv3792f69Ol8/fXXbNiwgVmzZhEXF8eMGTPIyclhwIABfPbZZ7Rq1aoo1qP/ViIiIiIiIuJCxhS/Ps3yB3JijDFrrLW9j23XjqdqJDc3ly+//JLx48eX2r98+XIuv/xywJHIOcxay7333ku3bt0YMmQIe/fu5eDBg0RERBAeHs7atWtZuHAhPXv2LJF0AnjxxRfp3r07/fr1Y/fu3URHR1O/fn1at27NypUrSUxMZMuWLQwYMIAlS5awZs0a+vTpQ48ePViyZAkxMTEAeHp6Mnbs2KJ1ly5dyplnnknXrl358ccf2bhxI8nJyaSlpdG/f38AJk6cWDR+4cKFvP/++/To0YMzzzyTxMREoqOjT/2HFRERERERERG3UI2nY1R0Z5IrfPfdd/Tq1YuGDRuWOcYcm3EGPvroI+Lj41mzZg3e3t5ERESQnZ0NwHXXXce7777LgQMHuOaaa0rM/emnn1i8eDG//fYbAQEBnHvuuUVzL7vsMubMmUPHjh0ZM2YMxhistUyZMoXHH3+8xFp+fn5FdZ2ys7O56aabiIqKonnz5jz44INF65bFWstLL73EsGHDyh0nIiIiIiIiIjWDdjxVI5988knRjqbSDBgwgNmzZwOOZNNhKSkpNGjQAG9vb5YuXcrOnTuL+saMGcP333/P6tWrS03opKSkEBYWRkBAAFu2bGHlypXF5i5YsIBPPvmEyy67DIDBgwczd+5c4uLiAMdxuqPvd9jhJFO9evVIT09n7ty5AISGhhIcHMzvv/8OUPR9AIYNG8arr75KXl4eAH///TcZGRnl/WQiIiIiIiIiUo1px1M1kZGRwaJFi8otqP3CCy8wceJEnnzySS6++OKi9kmTJjFy5Ei6du1K79696dixY1Gfj48P5513HqGhoaU+ZW748OG89tprdOrUiQ4dOtCvX7+ivrCwMDp16sSmTZvo27cvAJ07d+aRRx5h6NChFBYW4u3tzcyZM0sUQw8NDeX6668nMjKSRo0a0adPn6K+t956i+uvvx4PDw8GDRpESEgI4NidFRsbS69evbDWUr9+febPn39iP6SIiIiIiIiIVBsqLk7tLlhdWFhIr169+Oyzz2jXrp27wwEcT+ELCgoC4IknnmD//v2lPm2vNLX5byUiIiIiIlKtqLi4nAAVFz8Nbdq0ibZt2zJ48OBqk3QC+Oabb+jRoweRkZH88ssvzJgxw90hiYiIiIiIiIgL6KhdLda5c+eiJ85VJxMmTGDChAnuDkNEREREREREXEw7nkRERERERERExCW040lEREREREREaq5ja1GB6lFVI9rxJCIiIiIiIiIiLqHEk4iIiIiIiIiIuIQST9WEp6cnPXr0oEuXLnTv3p1nn32WwsLCcufs27ePcePGAfDTTz9x0UUXVUWoIiIiIiIiIiIVohpPpSntfOipqMDZUn9/f9atWwdAXFwcEydOJDU1lYceeqjMOU2aNGHu3LmVFaWIiIiIiIiISKXSjqdqqEGDBsyaNYuXX34Zay2xsbGcffbZ9OrVi169erFixQoAYmNjiYyMLDa3sLCQdu3aER8fX3Tdtm3bouvD0tPTufrqq+natSvdunXj888/B+DGG2+kd+/edOnShQceeKBo/PTp0+ncuTPdunXjzjvvBCA+Pp6xY8fSp08f+vTpw/LlywFYtmwZPXr0oEePHvTs2ZO0tDTX/FAiIiIiIiIiUq1px1M11bp1awoKCoiLi6NBgwYsWrQIPz8/oqOjufzyy4mKiip1noeHB1dccQUfffQRt912G4sXL6Z79+7Ur1+/2Lj//ve/hISE8NdffwGQlJQEwKOPPkrdunUpKChg8ODB/PnnnzRt2pR58+axZcsWjDEkJycD8H//93/cfvvtDBw4kF27djFs2DA2b97MM888w8yZMxkwYADp6en4+fm57ocSERERERERkWpLiacaIC8vj1tuuYV169bh6enJ33//Xe74a665hosvvpjbbruNt99+m6uvvrrEmMWLFzN79uyi67CwMADmzJnDrFmzyM/PZ//+/WzatInOnTvj5+fHtddey0UXXVRUS2rx4sVs2rSpaI3U1FTS09MZMGAAd9xxB5MmTeKSSy6hWbNmlfEziIiIiIiIiEgNo6N21VRMTAyenp40aNCA5557joYNG7J+/XqioqLIzc0td27z5s1p2LAhP/74I6tWrWLEiBEVuueOHTt45plnWLJkCX/++ScXXngh2dnZeHl5sWrVKsaNG8fXX3/N8OHDAccxvpUrV7Ju3TrWrVvH3r17CQoKYvr06bz55ptkZWUxYMAAtmzZcsq/h4iIiIiIiIjUPEo8VUPx8fH885//5JZbbsEYQ0pKCo0bN8bDw4MPPviAgoKC465x3XXXccUVVzB+/Hg8PT1L9F9wwQXMnDmz6DopKYnU1FQCAwMJCQnh4MGDfPfdd4CjHlRKSgr/+Mc/eO6551i/fj0AQ4cO5aWXXipa43Bx9O3bt9O1a1fuvvtu+vTpo8STiIiIiIhIDWU9oMDX3VFITabEUzWRlZVFjx496NKlC0OGDGHo0KFFxb1vuukm3nvvPbp3786WLVsIDAw87nqjRo0qKiBemhkzZpCUlERkZCTdu3dn6dKldO/enZ49e9KxY0cmTpzIgAEDAEhLS+Oiiy6iW7duDBw4kP/9738AvPjii0RFRdGtWzc6d+7Ma6+9BsDzzz9PZGQk3bp1w9vbu8I7rkRERERERKT6sMCfj8PqtyDf393RSE1lrLXujqFK9e7d2x5bmHvz5s106tTJTRG5RlRUFLfffju//PKLu0OpVLXxbyUiIiIiIlId7R9h2Hq343PTL6Ddi9U0f2BMybbTLNdRHRhj1lhrex/brh1PtdATTzzB2LFjefzxx90dioiIiIiIiNRAubkH2X4jhKyHJvNg72hISfnN3WFJDaTEUy00ffp0du7cycCBA90dioiIiIiIiNRA0dH/R4EftH8WWr8BvvGwdeu1FBbmuDs0qWGUeBIRERERERGRIgkJXxMf/yktP4DA3eCVBe2fh8zMzeza9YS7w5MaRoknp9Ot1lVNpL+RiIiIiIiIa+XnpxEdfSOBgZG0mH2kPXwlNGhwOTujHyQjwjjqKh1+iZRDiSfAz8+PxMREJTaqMWstiYmJ+Pn5uTsUERERERGRWmvHjnvJydlL+/Zv4JFfvK9t2+fxzIStd4J1Y74pLu4zYmLudV8AckK83B1AddCsWTP27NlDfHy8u0ORcvj5+dGsWTN3hyEiIiIiIlIrpaT8xt69M2na9F+EhPQr0e/j04C2r8CWe2DfxdB0vosDOnY3lXOzyO7dz5CWtop69cZQp04fFwchp8pliSdjTAfg06OaWgP3A+872yOAWOBSa22SMcYALwD/ADKBq6y1fzjXmgLMcK7ziLX2PWf7GcC7gD/wLfB/9iS2LXl7e9OqVasTnSYiIiIiIiJSa0RH34yvbzNatXqkzDENF8LBIRBzPTRYBN4ZVRggkJ+fQlpaFAC7dj1GZOS8qg2gjGSYlM1lR+2stVuttT2stT2AM3Akk+YB04El1tp2wBLnNcAIoJ3zNRV4FcAYUxd4ADgT6As8YIwJc855Fbj+qHnDXfV9RERERERERGqrgoIs0tPX0rjx9Xh5BZc5zgDNPoOCAMhoU3XxHZac/DNQSGjoeSQkzCc9fUPVByEnpKpqPA0GtltrdwIXA+85298DRjs/Xwy8bx1WAqHGmMbAMGCRtfaQtTYJWAQMd/bVsdaudO5yev+otURERERERESkgrKzYwHw9z9+Nilgt+M90w2VUJKTf8TDw49OnT7EwyOQXbser/og5IRUVeLpMuAT5+eG1tr9zs8HgIbOz02B3UfN2eNsK699TyntIiIiIiIiInICsrNjAPDzO34ZGr84MLmQ1dzVUZWUlPQjdeoMwNe3CU2b3khc3Gwym1R9HFJxLk88GWN8gFHAZ8f2OXcqufxApDFmqjEmyhgTpQLiIiIiIiIiIsVlZe0AKpZ4MoXgvxcyqzjxlJsbT0bGn4SFnQ9As2Z3YIw3uy+v2jjkxFTFjqcRwB/W2oPO64POY3I43+Oc7XuBo/9n28zZVl57s1LaS7DWzrLW9rbW9q5fv/4pfh0RERERERGR2iU7ewceHv74+DQ8/mAcx+2yqvioXXLyTwCEhjoST76+jWnc+FoODINs/ad+tVUViafLOXLMDuBLYIrz8xRgwVHtk41DPyDFeSTvB2CoMSbMWVR8KPCDsy/VGNPP+US8yUetJSIiIiIiIiIVlJ29Az+/Vphjn9pWBv89kNUECquqgA+O+k6ensEEB/cuamvR4i4wsHtC1cUhJ8al/xMxxgQCFwBfHNX8BHCBMSYaGOK8BvgWiAG2AW8ANwFYaw8B/wVWO18PO9twjnnTOWc78J0rv4+IiIiIiIhIbXQ48VRRAbvBekNOIxcGdYykpB8JDR2Eh4dXUZufX0saLoL9F0JuaNXFIhXndfwhJ89amwGEH9OWiOMpd8eOtcDNZazzNvB2Ke1RQGSlBCsiIiIiIiJyGrLWkpUVQ0jIwNL7gWP3QQU4H/WV2Qz8XRqdQ3Y9yMr6myZN/lmir8UncGAY7BkHrd+sgmDkhFThpjgRERERERERqW7y85MoKEgtseMp3wPGXQpnXg85nsXn+DufPV9VBcaTezreDxcWP1rAbqj/M+wdDfkBVROPVJwSTyIiIiIiIiKnsezskk+0s9Zyyz/g886wuik8ek7xOd4p4JUGWVWUeErqBV5e4QQGdi21v/E3UBAIaR2rJh6pOCWeRERERERERE5jWVklE09PLX+K13vD3b/Clevh8YHw58E/i/oNjl1PmVXwZDuLY8dTWNh5GFN6GiNwu+M9I8L18ciJUeJJRERERERE5DR2eMeTv78j8TR7w2ymL5nOZX/BY0vgue+hbhZcs+Aa8o/KIgTsgawqSDxlNYGchhAaWvKY3WE+SeCVAhkVr48uVUSJJxEREREREZHTWHZ2DF5edfHyCuGXnb8wZf4Uzm5xNu8sAA8L4Vnw8rewZv8anut3ZJ7/bkdCqKAgw6XxJfdyvB+u75RbkEtiZmKxMQYIjNWOp+pIiScRERERERGR01hW1g78/FqxJWELF8++mFahrZh/2Xz88o+MGbcJRncczf3nwd/OZ9cffrJdVtY2l8aX1BN84sHfvz1ZeVkMfHsgPV/vSV5BXrFxhxNP1qXRlC4/P4WcnANuuHP1p8STiIiIiIiIyGksO3sHvn4RjJ49Gi8PL76d9C11/esWG2OAV/7xCr4FcP1IKDSOp8kBZGb+7bLYiuo7rXVc//Obf7J632p2p+5mwdYFxcYG7oCCIMip77JwSigszGPPnpdYubIVf/zR7/gTTkNKPImIiIiIiIicpqwtJDs7lr8z/NiauJWnL3ia1mGtSx3bOLgx//sBfo6AWWeA/15He1aW6xJPGRGQFwahf8ALv7/A++vf5/6foGUyvPbk+GJjA2OPzKkKiX0hKqob27bdioeHLzk5O8nNPVg1N69BlHgSEREREREROU3l5u7H2lyW7IvHy8OLUR1GlTv+6rUwZDvcdQHs8wHfOMjM3Oqy+A7Xd1oXD3cuvJPRm+GBZTB1DSxpDX8nHkl6BThqpLu8wHhmc/jzCfjrSbC2gMjIL+nU6SMA0tP/PM7s048STyIiIiIiIiKnqaysGKyFH3Zu4PxW5xPmH1bueAPM+goKDNwwEvx2u/aoXVJPOBQLVwyBjvU68v48R8Hza9aCVwHMWjOraKxPKvgkQmaEy8LB4kg6pXSBNjOhT58N1Ks3ksDAbgBkZCjxdCwlnkREREREREROU9nZO9iRATEp+7ik4yUVmtMqGR5bAt+1g8UHIStrK9ZWfknvQm/Y3xXujXHUlJp/2XyCcx19jdJh9BZ4d927ZHsdmRMQ69odTzn1ILsJtHobms8FDw8fAHx86uHj05j09L9cd/MaSoknERERERERkdNUdvYOfkkAg2F0x9EVnnfLKui/Gx7zhfjMZPLyEis9tqRe8PQ+iPaA2XOhbd22xfr/GQWJWYl83ulIW+AOyGjpqF3lCmkdHe/BW0r2BQZ2046nUijxJCIiIiIiIlIdGVP85QJZWTv4NdGLgS0G0jCoYYXneVp4awFkesBL21xTYHzDIFgcB3f+BsO2l+w/Lxba1W3Ha72PtAXGQqE/ZGfHVno84Eg8mXwI2nZUo/PvE/TqD2QcWkthYb5L7l1TKfEkIiIiIiIicro4Jpn193fvsS09n0s6VeyY3dE6JcA9a2BpPHyxaXalhllYmMe8do7P16wpfYyHhRvOuIFfW8KGBo62wMMFxjM2Vmo8h6V1gMAY8Mwr2RcYA9YHsrKiXXLvmkqJJxEREREREZHT1CJ/x/uYjmNOav49P0CbQJj+yzskZyeX6C8ogPyT2ACUnLyMpenQKQ06lHOKb0qPKfjmw+tnOK4DdzreMzI2nPhNj8NaS1oHCC7jIX5BMYfvreN2R1PiSUREREREROQ0VOgNS7MgMrwxLcMiKnSsLwcfPmMc9/AYO4jANx/u7x5BYnYGdy68s9jYhQshIgKGD4fCEyy5tGnX+/yVAuPXlj+uXkA9xm2CD7pDhjd4ZYDvQdfseMrK2kZ+cOn1nQACdjmO4aWnK/F0NCWeRERERERERE5DMRGwKQ0uan3WccdupiP//jc0Yw+X8hlPcA+d2cQDPEjHkN5MahXOW2vf4uedP5OeDjfdBMOGQW4uLFkC775b8bisLWD+1nlY4NIKPCTun1GQ4gefRjquA2Nds+MpLW01AHXK2PHkkQf+uyEjQ0+2O5oSTyIiIiIiIiKnoS+6Od7HdLy41P48vPiYyxnIL3RmMy++CINYxvcMI5aWXMwCHuYBxoyZRYvt5xPiG8oTHy2ne3d47TX4979hxw445xy4806Ii6tYXCkpv/LjgXTaZUDn+OOPH7ALusRRVGQ8cAdkZm6p9CLfaWmr8ciGgB1ljwmKce54OrYwvIuKw9cESjyJiIiIiIiInIa+bAktA6Bbk/OKtacRxHPPQVu2MYmPiaMBTzGNvXthLuMZxkJasovZXM5PDCIkxPLIQ59iXlvDdzPuBizLlsEzz0BAgCMJlZ7uSERVxJbdH7A+GS5dB/HUJxfvcscb4IYoWN0UNtZ37HiyNofs7FIehXcKUlNXE7QNPMo5NhgYAzk5O8kPrNRb12hKPImIiIiIiIicZhICYGUwnB0Gvr5NADhAQ+7lUVqwizvugJbs5EtGsoWOTOMZGjQouc4gfubnnzdw6623YNPrwRmvM+ubVZx99pExnTrB9Onw4YeweHH5cVlbyLzNcync15M1P39ME/ZxId+Qj2e580Y76y4tbHNkR1Jl1nkqLMwnPf2PMus7HVZUYLxVpd26xlPiSUREREREROQ081V7KDAwBCgo8OBZ7qAN23mC6QxmCStXws8MYiRf44Etd63g4PaMGTOT5b+/hteoW1m8Z36JMffeC23bwo03QlZW6etYC/PmbeHVGZ/DrD9YnnMho5nPYi7gHh4vN4bmqdAhARa1gcBdAKZS6zxlZm6isDCrzPpOhwU6N1mlt660W9d4SjyJiIiIiIiInGa+6ASNPcBzfR/69IE7eZbzWMpWOjCX8Zx5ZsXX8vFpiKdnMD6Fuzmn5Tl89fdXJcb4+TmO3G3bBo89VrwvNdXR1707jB3bmbQDHTn3uq/YTXPmMp6bmMkzTOOTT8qPY0gMLGsJBXng59eqUnc8HS4sfrwdT77x4OkZQoYST0WUeBIRERERERE5jaT5wA/Ngglc8gKTX17JwYMwl7F8xUjase2E1zPGEBDQgczMvxnZfiQb4zcSkxRTYtzgwXDllfDkk7BpE6xeDddfD02aOHZCeXhYLrzpFvi/Vvzv4WaEkArAc9zOQH7h2mthHd3LjOOC7ZDpA781g8DAyErd8ZSWFoWnZwj+e8sfZ4CgoG7a8XQUJZ5EREREREREThMWeCx8DHmvbWb7z7cwud1MNm+GsXzBqTx3zd+/PVlZjsQTwFdbS+56Anj2WQgOhj59oG9f+PhjuOwy+P13WLZsDfEdZtIyLJQejXoUzfEhj7mMo25dGMM8Eqlb6trnxoJnofO4XWAXslI3UehdOU+VS01dTXBwb0z5pw4BCAzsRkZrjnNA8fShxJOIiIiIiIjIaWDXLriYBTyx/wsIiOf5l/rxVJNbCQk59bUDAtqTnb2TiJCmdK7fmS///rLUcfXrw+uvQ69e8MorsG8fvPmmIwkVs+8j1iTDuC6XYY5JFDUkjs8/h300YQKfllpsPCQH+u6Fxa0dO56sF2Q2O/XvVliYQ0bGn9Sp06dkny1kdRP4z3lw3ShHW1BQVwoCIbvhqd+7NlDiSURERERERKQWy8+H556Dzp1hCYOJ6PNvek3oTbcuq/HbXzn38PdvD1iys7czqv0oft75M8nZyaWOHTcOfvnFcbzucNLLWssXmz6mwMKEyCtLnXfmmfAqN7KEIdzJM6XuKLpgO6xuArmeLQDIrISny6Wnr8faPIKDHYmnLC/4uj1MHQlN/9eUvlPhsbNhRyjkezh2PAGq8+SkxJOIiIiIiIhILbVtmyNhc8cdMGgQ/OHRhf3D/kfvwgIA/A9Uzn0CAjoAkJm5lVEdRpFfmM/3276v8PzMzE0s3hdHs6C69G7Su8xx1/AOt/ICL3AbN/A6+fnF+4fEQKEH/H5wLxRARsTJfBuOHM8zhrQpjkrrwcG9scA5V8PIiTA7Es5ucTYffAFxT8OS98Gr0LHbCpR4OkyJJxEREREREZFaato02L4dPvsMvv4aDjXZSY4XdPMFzwzwSq2c+zh2PHmQnr6evk37Uj+gfqlPtytLzIGviEqCsZ0uKXHM7ljPcxsz+C9vMJXRoyGDgKK+fnsgKAd+jF1GwJ5TSDwdJbUDeB8CX9/m/NkQoprCQ0sh/imYM34OV/wJ4VlHxnt5BeO3D9LbnPq9awMlnkRERERERERqof374auvYOpUx/E2Y2C54wQaneuC335OqaD40by8gggK6k5Kyq94enhyUfuL+Db6W/IK8o47t9AWcuuSF7DA1b1uOe54A/yX+3mNG/juOziPpcRRHwDvQkeR8UUxi/CLMfzl3Zk/6cp2WnPgAKSnQ2HhiX23tI4QvNXx9L55ncBYuCEKfAvKnhMYAxmVcMyvNvBydwAiIiIiIiIiUvnefRcKCuC66460LW8ObRMhsBf4767c+4WEnM3+/W9SWJjHyPYjeWfdOyzfvZxzI84td96DPz3IT/sPcF/PvnRv1L3C97uBWTSe9zqXXRzJWazgO0aQjR/eK85j29rzGBgziLTco56A1/jIx/BwaNXK8Wrd2vHep4+j6PnR8v0hswU0WOq4ntcRBuyChhnlxxYUA4n9ocAbPI+fe6vVlHgSERERERERqWUKC+GNN+Dcc6F9e0ebtZblLWBENGSPgLqrK/eeISED2bv3RdLT13JBmwvw9fTly61flpt4mr9lPv/9+b8Mbwg39b7hhO85apSjYPpIvqI90Y7GnUBoDB2bzuf8S5cR+V46hQcCyXjlfdLTISMDDhyAHTtg3TqYPx/y8hw7wj7/HMaMObJ+uuMEIcFbISYphj8bwbM/HD+uwBjAEzIjIDj6hL9WraLEk4iIiIiIiEgt8+OPjsTKI48cadt2aBvxgXBmIhT6U2lPtDssJGQgACkpv9K8Tl/Ob3U+X279kmeHPltq3aZN8Zu4ct6VdK/fktvb7yQs7NyTum9/VrKCs3iT6+jCRgbxEwP+k0/z9fsYPhw6/gGNDgA3vl/q/IIC2LsXJkyASZNg2TLo4+xLddRMJ3gLvLt5HgBjNh8/pqAYx3tGayWeVONJREREREREpJZ54w2oWxcuueRI2/LdywHo6axNVNmJJ1/fxvj5tSEl5RcARnUYxfak7WxJ2FJibHJ2MhfPvphA70Ce7RNJsH8z/PxOvihSe6J5iruZwvtEsIshrYewrBEU5kNm8/LnenpCixawYAE0agQjR8JOHMWw0jqC7wHwSYF5W+bR/QC0Sj5+PP57wSMH0vVkOyWeRERERERERGqT+HiYNw+uvBL8/I60L9+1nNAsaNAOKISQTZV/75CQgaSk/Iq1lovaXwTAzNUzWbF7BRviNrArZReHsg4x8fOJ7Ezeydzxc/HLXU1o6LnHfZrdibig9QUkBsDunZDdpGJzGjSAb76BnBy4kG9IoQ5pHaDOFjgYCCt2r6jQbicAUwgBsY4dT6c7HbUTERERERERqUXef99Rs+j664u3L9+9nLN2Q/JAx9Ex79TKv3do6NkcPPgemZlbaVanI2c2PZOZq2cyc/XMEmNfu/A1etarx+odcYSEDKrUOAa3GgzA2oMQ2bTi8zp1gi++gKHnd2Cc52fc3eBCmnyVz4KOYLGMKbl5q0xBMZB45gkGXgsp8SQiIiIiIiJSS1jrOGZ31lnQpcuR9kNZh9icsJnL4yCtA0S855r7H13nKTCwI99f8T2b4zeTmpNa7NWsTjPGdxnP3r2vARDa93rYe1SmzNpTiqNxcGMiD8LqujAu8sTmnncevMH1XF3wLr7Pv8J7B6YyryO0DmtN14MxFV4ncDscGAG5YeCTdIJfoBZR4klERERERESklvjlF9i6Fd55p3j7it0rAIisA3hA3VWuub+/f3u8veuTkvILTZpcR6hfKP2b9y9zfErKMnziHTWRKtuQGHi1PmQEQl4weJ/A3Kt4j3Vt2/DCN//h3bDfWfKPt7i14xgMz1Z4jaAd4H0Icuqd3okn1XgSERERERERqaYKPSG7QcXHv/EG1KkD48cXb1++azleHl607ABeKRD8d+XGeZgxpqjO0/FYa0lOXkbon1B51Z2OuCAGcjxgfQpkVbDO09FuPv8Benb/kftTniEvozFjOo45ofmhf8CAsXqqnRJPIiIiIiIiItVQUi+IehNWfgypHSowPgnmzoVJkyAwsHjf8t3L6dWoF1l9oO5qR/FrVwkJGUh2dgw5OfvKHZeVFU1u7n5C17smjkGxEJ4ND2+Cj7uf+PycZpZ7L7uBbHzx/eqlcndulcYVybSaSIknERERERERkWokKyuWDRvGsv5ZKPQBr3SImerYIVSeDz+E7GyYOrV4e25BLqv3raZ3wzbkhUHd310YPBAScjbAcXc9JScvAyB0nWviCMyDlW9DRCDc2Bmu+OIKUrJTKjw/szlE5G3D65wHyYkey/x5SqGcDP1qIiIiIiIiItVAQUEmO3Y8wOrVnTh06HtavQl9roKI9yG5FyQlLSpzblYWvPgi9O4NPXoU7/tj/x9k52fTpY5jm1PdKBcEb0zRK6huXzw8AiqUePL2boj/bhfE49Q2Dl5pCrfkwuwNs+n+Wnd+3VWBY4DGcTxvbQLknv0sbXz/4OabIYlQ1wVbSynxJCIiIiIiIuJuxrD1gUB27nyYeouy6dt3Ky0/As88aPIV+O2DmJi7sbb0M3IPPwzbtsFjj5XsO1xYvI3PNoK3gE+yC78H4FEAder0JyXllzLHOOo7/URo6CCXH0kL3g/XNIBfr/kVTw9PBr07iPuW3EduQW6Zc3IagPWBHwugTl4BH+VdR3w83MVTLo629lHiSURERERERMTNCnwgYQA0/hI6PwJ+fs2K+jzyoNXbkJ6+jri42SXm/vEHPP00XHMNXHBBybWX715Oq9CW+OauddnT7I4VEjKQ9PQ/yc8v/WhbdnYMubl7CQ091+Wx+O+DrKbQr1k/1t2wjindp/DYr4/R540+rD9QeoGpzGaQUwCL6sCF0XBm4Vr+/W94k+tZiutjrk2UeBIRERERERFxs6QzoNAf6pexSajBjxAU1IMdO2ZQWHhkp05eHlx7LdSvD888U3KetZblu5ZzRoPmQGGVJZ5CQ88GCklJ+a3U/qL6TqGDXB6L/17Irec4yhjsG8zbF7/NV5d/RVxGHH3e6MMjPz9CfmF+0fgdSTu4ry9cuhISfWHSn472Bx6ANmzjet4gE3+Xx11bKPEkIiIiIiIi4mYJA8AzvexC28ZC69ZPkJ29g337Xi9qf/ppWLcOXn0VgkPySc1JLTYvJimGgxkH6RyUj5dXGHU2u+47HC04+EzAs8w6T476TvUJCOjk8lj8nA/Xy8qKKWq7qP1FbLhxA+M6j+M/S/9D/7f68/FfHzPyk5G0ebENbzSAnsGw9B3HjieAgAB4g+vZTlse4gGXx11beLk7ABEREREREZHTmbUFJJ4F4b+DR37Z48LChhIaej47dz5Mo0ZTiI6uw0MPwfjx0HfwPrq8ch5/J/5NiG8ILUNb0jKkJXmFeQC08fmbsLChmMJPq+Q7eXkFERzcq8w6T0X1nYyrKzw5jtoBZGVtIygosqg9PCCcj8d+zCWdLuHGb25k0heTaBDYgBnnzODslf8lNAD67Cy+1nn8xD08Rh9Wuzzu2kKJJxERERERERE3Sk1dSV4YhC8vf5wxhtatn+CPP/oSG/s/rr32QYKC4KEnDzH0g6HsS9vHw+c+zMGMg+xK2cXOlJ3sStlF27CWNPPZSd26w4GqSTyBo87Tvn2vUliYg4eHb1F7VlYsOTm7CAmZViVx+O91vGdnby+1f1zncQxqOYj1B9dzdouz8fXy5fc9/yWg9OE8xn0uirR2UuJJRERERERExI0SEhZg8iC8AvWX6tTpQ/3643nppXR++w1efyuLKYuHs+3QNr6/4nvOjTi3xJzY2EeJjZ3hTDxVnZCQgezZ8xxpaWsICTkLay0ZGRvZu/dFoGrqOwF4p4NXKmRllZFJAuoH1mdI6yEAFBbmkdUE6i+rkvBqPSWeRERERERERNzEWktCwnxC14FXRsXmFBQ8yaxZ9TlnUDQfe0xl7d61zJswr9SkE0BS0g8EBfXE17dRpcVdESEhAwHYt28WcXGzSUz8iuzsWADCw0cSGNilymLx3wdZLbdVaGx2dix4gv8e18Z0ulDiSURERERERMRNMjO3kJUVTbPlML8jLG4Nw7fB+XmZBJQyPjsbpkxphY9PMjnDLmHVzo18dMlHXNT+olLXz8tLJiVlBS1a3OXaL1IKH58GBAR05ODB9/Dw8CMsbAgtWtxDePiF+Po2rdJY/PdCajk7no6WleWoJh6w15URnT6UeBIRERERERFxk4SEBYCjvtOD42B9I5jZF/yeCmfwRBi5Fc7eBdlecChmMc/MiGDdurZ0v/VOfs/dwCsjXuTyrpeXuX5S0mKggLp1R1TRNyquc+fZ5OTsITT0PDw9S0ulVQ2/fRCXvZPCwjw8PLzLHZuZ+TcA/rurIrLaT4knERERERERETdJSJhPcHBvMjKiWN8IZiyDc3bC1y9P5av4F/mm/VGDp78Gn82F/s/wV/g7/LMVXNqmXbnrJyZ+jZdXKHXq9HPtFylDUFB3goK6u+XeR3M82a6A7OydBAS0LXdsVlY0nungnVIlodV6Hu4OQEREREREROR0lJOzn7S036lXbzQ/t3S0DdsOF8TACyNeYPsLsOlleP8LePX9VgR+P5tuvTKJ+fJyUu6K57IWviQlLSxz/cLCPBITvyQ8fORxd/nUdsd7st3RsrKiCdgDxsUxnS6UeBIRERERERFxg8TErwAID7+YnyLAPw/6HlVXyACdEmDCn968HTMbLw8vFnweQKt6TQnyq0to6NkcOlR24ik5eRn5+UnUq3eJa79IDeDY8QRZWccvMJ6Z+bcKi1ciJZ5ERERERERE3CAhYT5+fq0JDOzCTxEwYBf4FJQcN50nWE1f3nkHIiKOtIeFDSUzcyM5OaVXwU5I+AIPjwDq1h3qkviPy5jiLzfySQQPD3+yjlNgvKAgm5ycXUo8VSIlnkRERERERESqWH5+GklJS6hXbzSJWYn82QjOjS057kfO4znu4F+8yJgxxfsOJ5QcBcSLs7aQhIR5hIf/w61FvUtwUzLKAP7+bY6beMrOjgGsnmhXiZR4EhEREREREalihw79gLW51Kt3MT/v/BkoPfH0MrfQgIM8zbQSfYGBXfH2blDqcbvU1N/IzT2gY3ZH8fNrc9yjdnqiXeVT4klERERERESkiiUkzMfbux516pzFT7E/EZALffYVHxNPPb5iJFfyAb7klljDGA/Cwi4gKWkR1hYWnxv/Bcb4EB5+oSu/Ro3i79+G7OyYEr/V0bKyoh1jddSu0ijxJCIiIiIiIlKFrLUcOvQddeteiIeHF0tjlzJgd8n6Th8xiXy8uZp3ylyrbt2h5OXFk57+Z7H1ExK+ICxsCF5edVz1NWocf/+2FBZmk5u7v8wxWVl/4+1dD++MKgyslnNp4skYE2qMmWuM2WKM2WyM6W+MqWuMWWSMiXa+hznHGmPMi8aYbcaYP40xvY5aZ4pzfLQxZspR7WcYY/5yznnRGDdXKxMRERERERE5jry8RPLzDxEc3Iv4jHg2xG0occzOWniHq+nDKrqwqcy1wsKGAJCUdOS4XXr6OrKzY6lff6wrwq+x/P3bAOU/2S4zMxp///ZVFdJpwdU7nl4AvrfWdgS6A5uB6cASa207YInzGmAE0M75mgq8CmCMqQs8AJwJ9AUeOJysco65/qh5w138fUREREREREROSXZ2LAB+fhFF9Z3O21F8zNq18Cfdy93tBODr24TAwMhidZ4SEr4APAgPH1WZYdd4RxJPZRcYz8qKxt+/XVWFdFpwWeLJGBMCnAO8BWCtzbXWJgMXA+85h70HjHZ+vhh43zqsBEKNMY2BYcAia+0ha20SsAgY7uyrY61daa21wPtHrSUiIiIiIiJSLR2dePop9icCvAPofUx9p3ffBV+yuYzZx10vLGwoKSm/UFCQCTjqO4WGDsLHp14lR16z+fq2xBivMnc85eenk5u7j4AA7XiqTK7c8dQKiAfeMcasNca8aYwJBBpaaw8fqDwANHR+bgocXTd+j7OtvPY9pbSXYIyZaoyJMsZExcfHn+LXEhERERERETl5RxJPLVkau5SBLQbifVS96xx8+OgjGM18wkg+7nphYRdgbS4pKb+QkbGFzMxNeppdKTw8vPD1bVnmjqfDCSnteKpcrkw8eQG9gFettT2BDI4cqwPAuVPJujCGw/eZZa3tba3tXb9+fVffTkRERERERASMKfnCkXjy8grjUE4OG+M3cm7Lc4tN+4qRHDpE2cfsjlkzNPQcjPHh0KGFJCTMA6B+/TGu/GY1lr9/m3IST84n2inxVKlcmXjaA+yx1v7uvJ6LIxF10HlMDud7nLN/L9D8qPnNnG3ltTcrpV1ERERERESk2srOji1e36nVecX63+FqmjaFISyu0HqengGEhJxNUtJC4uM/p06dfvj6lnog6LTn79+WrKxtOPbBFJeV9XfRGKk8Lks8WWsPALuNMR2cTYOBTcCXwOEn000BFjg/fwlMdj7drh+Q4jyS9wMw1BgT5iwqPhT4wdmXaozp53ya3eSj1hIRERERERGplg4nnpbuWEqgdyBnND6jqG8fjfme4UyeDJ4UlrNKcXXrXkBGxgbS09fomF05/P3bUFCQQn7+oRJ9mZnR+Pg0wcsryA2R1V6ufqrdv4CPjDF/Aj2Ax4AngAuMMdHAEOc1wLdADLANeAO4CcBaewj4L7Da+XrY2YZzzJvOOduB71z8fUREREREREROmrW2KPH0086fHPWdPL2L+j/gSgrx5KqrTmzdsLChRZ/r1dMxu7KU92S7rKy/dczOBbxcubi1dh3Qu5SuwaWMtcDNZazzNvB2Ke1RQOSpRSkiIiIiIiJSNfLyEigszCDdhrMpfhOTu00u6rM4jtkN4Ffatx94QusGBXXH27s+Pj6NCQjQUbGyHD5Gl5W1jTp1+hbry8qKVtLOBVyaeBIRERERERGRIw4/0W5NYioA50acW9T3O2eylY5M41rgxBJPxnjQqdNHeHnVqaRIayc/v9ZAyR1PeXlJ5OUlaMeTC7j6qJ2IiIiIiIiIOB1OPK08EEuQTxC9Gvcq6nuNfxJABpcy56TWrlv3AurUObMywqy1PD398fFpQlpaFLm5B4va9UQ719GOJxEREREREZEqcjjxtHzv+mL1nX6nL+8zmdt4nmDSK+dmxhS/LuVJbqejoKDuJCZ+yYoVX+LtXZ/AwK4Y4/g7BAS0d3N0tY8STyIiIiIiIiJVJDs7lgwbyuaErVzZzfHA9/x8+Cev0YR9PMQDJ7ewkkwV1qXLZ6SmriQ9/S8yMg6/NuLlFV5UfFwqjxJPIiIiIiIiIlUkOzuW6L+SATjrynth5728/JxlHT35jHGVt9tJyuTpGUhY2GDCwo4898zaAqzNx8PD142R1U5KPImIiIiIiIhUkezsWDYlgWch9N4He2nCf/4Dw/mOsXzu7vBOW8Z4Yoynu8OolZR4EhEREREREakCFkfiaUMOdDsEgXlwNc+Rnw8vcwvmuCuI1Dx6qp2IiIiIiIhIFcgLgbyCTP70gv674XuG8RmXct990IYYd4cn4hJKPImIiIiIiIhUgexGEJsBGZ5wxi4/bmYmHdjCtGnujkzEdXTUTkRERERERKQKZDeGjamOz2u33UMMbVjC+fj6/ujewERcSDueRERERERERKpAdiPYnAp1E8N4I/suLudjzmepu8MScSklnkRERERERESqQHYj2JTmQZMVk8jBj7t4yt0hibicEk8iIiIiIiIiVeBgA9iVUUjC5us4gyh6sN7dIUlVM6b46zSgxJOIiIiIiIhIFYgKBfadwYHM7lzLW+4OR6RKKPEkIiIiIiIi4mIWWOcNrL0OP7K4nE/cHZJIlVDiSURERERERMTF8kLhryR/PDZMZBxzCSXF3SGJVAklnkRERERERERcLKMxbPx9LIXZdXTMTk4rSjyJiIiIiIiIuNj61pAbdS31myUxiGXuDkekyijxJCIiIiIiIuJi3wS3hZ3nMmlyFqfHs8xEHJR4EhEREREREXGxL3deA6aAO29q7O5QRKqUEk8iIiIiIiIiLpSPJ9s3TCGsw7c0bar9TtWOMcVfUqmUeBIRERERERFxoc+8R1CQ1oSzuquouJx+vNwdgIiIiIiIiEht9qLPteBzgHH1vnF3KCJVTjueRERERERERFzkAA35PfMi6P4+/ffnuzsckSqnxJOIiIiIiIiIi7zHFKz1ovmAtwnf5+5oRKqeEk8iIiIiIiIiLmCBt7kGz+a/0LPtVvwOuDsikaqnxJOIiIiIiIiIC/zKQP6mAwW93qJzHZR4ktOSEk8iIiIiIiIiLvAW1+LnkQpdPqObAa9sd0ckUvWUeBIRERERERGpZKmp8BnjadF8NmE+mbQ75O6IRNxDiScRERERERGRSjZ7NmQSSFaft4j0B/+D7o5IxD2UeBIRERERERGpZG++CR3NBnZ3WUXn+qrvJKcvJZ5EREREREREKtFff8Hq1TCg3ptgoEtd8NOOJzlNebk7ABEREREREZEqZUzxa2srdfm33gJvbwjs+CHeBdA+CHy146l6cPHfXkpS4klERERERESkkuTkwAcfwOjRsC4wkcgc8PWE4G3ujkzEPXTUTkRERERERKSSLFgAhw7B5KvyWNUUutSBgFjwTXB3ZCLuocSTiIiIiIiISCV56y1o3hzCI9eS7Q3tIiBsjbujEnEfJZ5EREREREREKsHOnbBoEVx9Nfy+bwUAnetBWJSbAxNxIyWeRERERERERCrBK6843q++GlbsXkHTfKjvCaHr3RuXiDsp8SQiIiIiIiJyijZuhP/9D664Alq2tCzfvZzIIKizCbyy3B2diPso8SQiIiIiIiJyCgoLYepUCAmBZ5+F3am72Ze2jw5NVd9JRIknEREREREREWOKv07ArFmwYoUj6VS/vuOYHUBkiBJPIko8iYiIiIiIyGln12Ww7Z+nvs6+fXD33XD++TB5sqNt+a7lBHh50dZA8OZTv4dITebl7gBEREREREREqpL1gN0TIK8ONPkKAk5hrf/7P8jNhddfP7JRasWeFXSq40W99fl4FFZKyCI1lnY8iYiIiIiIyGklpTPkhQIesGfsya/z1Vcwdy785z/Qtq2jLT03nfUH1tM5KJuwqMqIVqRmU+JJRERERERETiuJA8DkQb2f4cBwyMs7dMJrpKXBzTdDZCTceeeR9tV7V1NgC+hSB+qqvpOIEk8iIiIiIiJyekk4C0LXQsT7UOgP+/e/ccJrzJgBe/Y4Cov7+BxpP1xYvEf9JvjvrqyIRWouJZ5ERERERETktJGRsYWsFlBvBQRth9A1sGfPSxR6VnyN77+HF1907Hjq379434rdy4kI9KBlg2Gc2LPxRGonJZ5ERERERETktJGY+CUA4csd180/g9zcvcSfW7H5+/Y5nl7XtSs89VTxvkJbyPLdv9IluJCwsCGVF7RIDabEk4iIiIiIiJw2EhIWEPQ3+CU4ruuuAn//Duy+FOxx5hYUwBVXQEYGfPop+PsX79+SsIWUnDS6hKDEk4iTEk8iIiIiIiJyWsjNjSM19TfqLT/SZiw0b3476e0hpVv58x97DJYuhZdfhk6dSvYfru/Up2FHfHwaVGLkIjWXEk8iIiIiIiJyWkhM/BqwRcfsDmvY8Eq8UmDPuLLn/vILPPggTJoEV11Vsj89N51nVjxNQ1/o3uwflRi1SM2mxJOIiIiIiIicFhISvsTXtwVB24u3e3oG0ORLSBgAmU1KzktMhIkToXVrePVVMKVUDb/l21v4OzGauzpAePhQ13wBkRpIiScRERERERGp9QoKskhKWki9eqNKfdpc0/lgCmDv2OLt1sLVV0NcnKOuU3BwybkfrP+A99a/x81d+3NGXW9CQs52xVcQqZGUeBIREREREZFaLylpMYWFWYSHjyq13/cQNPgR9o+AvDpH2pctg6++gscfh169Ss7bmrCVG7+5kbNbnM3VrYMJCOiEp2eAi76FSM2jxJOIiIiIiIjUXsaAMSQ+MQrPdAgNHVTm0BazId8Hdl96pO3tt6FOHfjnP0uOz87PZsLcCfh5+fHx2I/JydpMYGAXF3wJkZpLiScRERERERGp1ayBhLOg7irw8PApc9yzLWHCLxB1oeMJeCkpMHeuo75TQCmbmO5ceCfrD67nvdHv0SgghJycXUo8iRxDiScRERERERGp1VI7Ql5dqLe87DHP9YMHzoMEA6/uhV27nuTTTyErC665puT4LzZ/wczVM7mj3x1c2P5CMjM3AxAQoMSTyNGUeBIREREREZFaLXEAmHyo+3vp/e+sfYc7hsO4jfCfZfBTAny36WXeeiuXyEjo3bv4+N0pu7nuy+vo3aQ3jw95HICMjI0A2vEkcgyXJp6MMbHGmL+MMeuMMVHOtrrGmEXGmGjne5iz3RhjXjTGbDPG/GmM6XXUOlOc46ONMVOOaj/Duf4259zSHk4gIiIiIiIip7GEARCyHrwzSvbN6wjXfXUdF2yHD7+A6b9CszR4+pe2rFrlwzXXOMpEHVZQWMCV864krzCPT8Z+go+n4+heRsZGjPHF3791FX0rkZqhKnY8nWet7WGtPZwjng4ssda2A5Y4rwFGAO2cr6nAq+BIVAEPAGcCfYEHDiernGOuP2recNd/HREREREREakp8oIhMwLqRpXsW9IKLhsHfZv25YtPwbcAAvLg6R9g9/Jr8PDMZdy4vcXmPL3iaZbtXMZLI16ibd22Re2ZmRsJCOiIMZ4u/kYiNYs7jtpdDLzn/PweMPqo9vetw0og1BjTGBgGLLLWHrLWJgGLgOHOvjrW2pXWWgu8f9RaIiIiIiIiImS0crwHbS/evqopXHw5dEiEbyd+S1Dukb4xG7zx2nA1nh2/5GDyjKL21XtX85+l/2F85/FM6T6l2HoZGRt1zE6kFK5OPFlgoTFmjTFmqrOtobV2v/PzAaCh83NTYPdRc/c428pr31NKewnGmKnGmChjTFR8fPypfB8RERERERGpQTKcJ98Cdxxp2xcMoy6HhunwwwcQ5h9WbM63XEh+Wl3yur/N06veIytrB+m56Uz6YhKNgxrz+kWvc3Sll/z8VHJydivxJFIKLxevP9Bau9cY0wBYZIzZcnSntdYaY6yLY8BaOwuYBdC7d2+X309ERERERESqh4wI8EoDnwTHdW5BLuPHQ7oPLHkPGqeXnPMW19KkCQweE8onmyxXbbiTz/eHse3QNpZOWVoiUXX4iXZKPImU5NIdT9bavc73OGAejhpNB53H5HC+xzmH7wWaHzW9mbOtvPZmpbSLiIiIiIiIAJDeGgJj4PD+pDsX3smKFvD2AuhSyoGYfTTmO0YwZQo8Nfx/+Hr6MHXpF7y19i2mD5zOoIhBjmrjR70OP9EuIECJJ5FjuSzxZIwJNMYEH/4MDAU2AF8Chw/DTgEWOD9/CUx2Pt2uH5DiPJL3AzDUGBPmLCo+FPjB2ZdqjOnnfJrd5KPWEhERERERkdOctZaMVhAY67j+sBu8tOol7lgBl24sfc77TKYQT66+GhoFNeLegdPYkwXdwpvy0LkPlTonI2MjHh5++Pu3cs0XEanBXHnUriEwz3nu1Qv42Fr7vTFmNTDHGHMtsBO41Dn+W+AfwDYgE7gawFp7yBjzX2C1c9zD1tpDzs83Ae8C/sB3zpeIiIiIiIgIOTl7KQhy1Hf6syFMHQnntDyHJx7+udTxFnibaziHZbRrNwiAfw/4D3v3v8OFzZvh7eld6ryMDD3RTqQsLks8WWtjgO6ltCcCg0tpt8DNZaz1NvB2Ke1RQOQpBysiIiIiIiK1TkbGXwDk74ZLJkBYFswZNwfvqxuVOv4LLiGa9tzHo4Aj8eTr5csdfSaxZ8/zFBRk4OkZWGJeZuYmQkLOcdn3EKnJXP1UOxERERERERG3yMjYAMC/OsOuEPjsM2gY1LDEuKQkuJ5ZjONzOrCFccwt1h8WNgRr80hJ+bXE3PwA9EQ7kXIo8SQiIiIiIiK1UkbGBuL3wldt4f5lcNbu4v0WmMtYOnWCd7iau3iSP+hFIJnFxoWEDMQYH5KSFpe8R0vHuxJPIqVzZY0nEREREREREbfJyPiLP3Y6Pl+2oXjfPhpzE6+wgNH0bALfHuxLL9aWuo6nZwB16vQnKWlJib5MZz3xgIDOlRm6SK2hHU8iIiIiIiJS61hbQEbGJlamQdtEaHvoSF8hhpF8xQ8M4ymmsWoVZSadDgsLG0J6+lpycxOKtWdEoCfaiZRDiScRERERERGpdbKytpNTkMNKbxixrXjfp0zgD87gDa5nGs/gVYGzQGFhjmdkJScvLdae0RICAjrpiXYiZVDiSURERERERGqdjIy/WJcM2Z7wj+gj7bm5MINH6M46JvJxhdcLDu6Dp2dwiTpPmRGq7yRSHtV4EhERERERkVonI2MDqw6BXx4Mij3SPmsWxNCGbxmBB7bC63l4eBEaem6xOk/5gZDTAAIClHgSKYt2PImIiIiIiEitk5GxgdVJ3pwXC/75jrZ0Avnvf+FcljKc7094zbCwIWRnbyerofMeeqKdyHEp8SQiIiIiIiK1zpa4NezKzGPEUcfs/scdxMXBE0zHnMSaRXWeznBcZ0Q43gMD9UQ7kbIo8SQiIiIiIiK1SkFBNj/viwWOFBaPpx5PM41LLoEzWXVS6wYEdMbHpxFJvRzXmRHgkQ1+fnqinUhZlHgSERERERGRWiUzcwu/H7K0DmlM20OOtkeYQRb+PPbYya9rjCE0dDBJPcHi2PEUsAuM0X9ai5RF/3SIiIiIiIhIrZKQsoa1yTCsjeNo3A4ieJUbuYa36dDh1NYOCxtMXl3IaOVIPAXGnmq0IrWbEk8iIiIiIiJSqyzd8T25hTCy42UUYriXx/Ainwd46JTXPlznKf4cyK0PgTtOeUmRWs3L3QGIiIiIiIiIVKYlO6Pw9TAExQ9hAMtZSX9m8F+asu+U1/bza4H/btg3ynEdEHvKS4rUatrxJCIiIiIiIrXKT1vzCf3uE84Z4EssEbzLFB7igUpbP+wPyKvr+By4s9KWFamVlHgSERERERGRWqGgAKY9sJd9T20iYfUl3HUX/E17pvA+HthKu0/YH453jyzwO1Bpy4rUSko8iYiIiIiISK3w2GPwzMNNIeIn5nw/jyefhGDSK/0+oWuBQucT7SovnyVSK6nGk4iIiIiIiNR4a9bAww9Dw35f4zNmFCPOcl3Vb+80qPeLCouLVIQSTyIiIiIiIlKjZWXBlVdCg4aWhPOvYlS4N35+LV16z8gHXbq8SK2ho3YiIiIiIiJSo82YAZs3wz8fXkWuTyKDmrbBGOPusEQEJZ5ERERERESkBlu2DJ57Dm66CbbXfZUgL8OgFv3dHZaIOCnxJCIiIiIiIjVSaipcdRW0aQOPPJ7Lgi3zGRBuCavT3d2hiYiTajyJiIiIiIhIjXTHHbBrF/zyC/x2cDHJOSkMqg+BgZHuDk1EnLTjSURERERERGqcb7+Ft96Cu+6Cs86CORvnEOztR+8wCArqWXk3Mqb4S0ROiHY8iYiIiIiISI3z2GPQti08+CDkFuSyYOV7nOcPwfvB2yfcMchat8YoItrxJCIiIiIiIjXM33/D8uVw3XXg6wuLYxaT7A9nN4Xgre6OTkSOpsSTiIiIiIiI1CjvvQceHnDllY7rORvnEJIN3Vsr8SRS3eionYiIiIiIiFStY2slncCRuIICR+Jp+HBo0sR5zG7rAkbEg7eHEk8i1Y12PImIiIiIiEiNsXgx7N0LV1/tvI5ZTHJ2Mhd4Oq6Do90Xm4iUpMSTiIiIiIiI1BjvvAN168LIkY7rORvnEOIbQo/m4L8LvDLdG5+IFKfEk4iIiIiIiNQISUkwfz5MmuQoKn74mN3ojqPJ7qBjdiLV0XETT8aY8caYYOfnGcaYL4wxvVwfmoiIiIiIiMgRn3wCOTlw1VWO68PH7Ea3O5/c+lBHiSeRaqciO57+Y61NM8YMBIYAbwGvujYsERERERERkeLefRe6dYOePR3Xh4/Z9a0XBGjHk0h1VJHEU4Hz/UJglrX2G8DHdSGJiIiIiIiIFLdxI6xe7SgqbkzxY3Y5meuhAIK2uTFAY4q/RASoWOJprzHmdWAC8K0xxreC80REREREREQqxTvvgJeXo74THDlmN77zeNLSogjcCZ7Z7o1RREqqSALpUuAHYJi1NhmoC0xzZVAiIiIiIiIih+XlwQcfOJ5kV78+FNpCnlnxDGF+YQxpPYS0tCgdsxOppo6beLLWZgJxwEBnUz4Q7cqgRERERERERA777juIi3McswN4Pep1lsYu5ckhT2Lz48jLiyP4b/fGKCKlq8hT7R4A7gbucTZ5Ax+6MigRERERERGRw959Fxo2hOHDYUfSDqYtmsbQNkO5rtd1pKVFASosLlJdVeSo3RhgFJABYK3dBwS7MigRERERERERgORk+PprmDgRPL0KufbLa/EwHrwx8g2MMaSlRWGMF4HuLCwuImWqSOIp11prAQtgjAl0bUgiIiIiIiIiDvPnO2o8XXYZvBb1Gktjl/K/Yf+jRUgLANLSVhMY2BXPPPfGKSKlq0jiaY7zqXahxpjrgcXAG64NS0RERERERATmzIGICKjXdgd3LbqLoW2Gcm3PawGw1joKiwf3dm+QIlKmihQXfwaYC3wOdADut9a+5OrARERERERE5PSWmAiLFsH48ZZrv7qm2BE7gOzsHeTnJynxJFKNeR1vgPNo3Y/W2kXGmA5AB2OMt7VWGxlFRERERETEZebPh/x88Iicw087fuKNkW8UHbEDjhQWV+JJpNqqyFG7nwFfY0xT4HvgSuBdVwYlIiIiIiIitZsFcuqCLee/Sj/9FFq2yuXF3dcwrM2woiN2hzkKi/sQGBjp2mBF5KQdd8cTYKy1mcaYa4FXrbVPGWPWuTguERERERERqcX2jYLo28Hkgd/v7fH/KRq/fRC4Exp9C4fy6vGjZxyNhn2Cr5cPb456s+iI3WFpaVEEBXXHw8PHTd9CRI6nQoknY0x/YBJwOL3s6bqQREREREREpLaLOw/89kKDnyDrth5khUWT0gUKgiC7ASx+4xIKCgx7WzzLR/+YSbM6zYrNt7aQtLQ1NGw4yT1fQEQqpCKJp/8D7gHmWWs3GmNaA0tdG5aIiIiIiIjUVnl1IKUrtPwIWr0DvDEHIg0W2HIP7B0Lb3w0AQK2Mv78TlweeXmJNbKytlFQkKr6TiLV3HETT9ban3HUeTp8HQPc6sqgREREREREpPZK7At4QviK4u0GiHgX1ndtyJqsQQQOeJ5XL3ylxBE7OLqweB+XxysiJ68iT7WrD9wFdAH8Drdba893YVwiIiIiIiJSSyUOAJ8ECP67ZJ//fnjxnbFgPXnkppaEB4SXGGOtJT7+Mzw8AggI6FQFEYvIyarIU+0+ArYArYCHgFhgtQtjEhERERERkVqqsDCHQ30g/DcwtmT/Ly3gt60TCG68gaHtPy91jT17niMhYT4tW87Aw6MiFWRExF0qkngKt9a+BeRZa5dZa68BtNtJRERERERETlhy8jIKAqHeipJ9aT4w6YImsGsgk5t8SlzcbNLS1hUbk5T0I9u330W9epfQosX0qglaRE5aRRJPec73/caYC40xPYG6LoxJREREREREaqmEhC/xyILQP0r2TR8Cu/eMAzz456Y5eHmFsWPHvUX92dk72bRpAgEB7enY8d1Saz+JSPVSkcTTI8aYEODfwJ3Am8DtLo1KREREREREah1rLYmJXxG2Bjxzi/ctjYBX+kLj3yfQnXVEZv1Nixb3cOjQdyQn/0xBQRYbNlxCYWEukZHz8fIKdst3EJETU5Gn2n3t/JgCnOfacERERERERKS2ysj4k5ycXUQcc8wuPTeday+G5jFt2Z18Fv/iHgCaNr2FPXueJybmHvz925Ke/geRkV8RENDeDdGLyMkoc8eTMeZpY8wNpbTfYIx5wrVhiYiIiIiISG2TkPAlYAhfWbz93iX3EhsKHeY+RAAZXM07AHh6+hMR8QCpqSs4ePB9IiIeol69i6o8bhE5eeUdtTsfmFVK+xuA/kkXERERERGRE5KY+CV16vTDJ+lI288t4aVVLzFhUQ8WZ07kdp6jEQeL+hs1upqgoDOoX38CLVvOcEPUInIqyjtq52utLfFwS2ttoVEFNxERERERETkBOTl7SUuLolWrx4HfAMj0hmsuhtZhrUn87THqksg0ni42z8PDmzPOWIUxFSlRLCLVTXn/5GYZY9od2+hsy3JdSCIiIiIiIlLbJCY6ygfXqzeqqO2+82F7XfhXg89ZZEdwD48TQmqJuSWSTsYUf4lItVVe4ul+4DtjzFXGmK7O19XAN86+CjHGeBpj1hpjvnZetzLG/G6M2WaM+dQY4+Ns93Veb3P2Rxy1xj3O9q3GmGFHtQ93tm0zxkw/we8uIiIiIiIiVSQh4Uv8/NoQENAJgGUt4YV+cNPv8OkLPWjGbm5mppujFJHKVmbiyVr7HTAax5Ps3nW+zgXGWmu/PYF7/B+w+ajrJ4HnrLVtgSTgWmf7tUCSs/055ziMMZ2By4AuwHDgFWcyyxOYCYwAOgOXO8eKiIiIiIhINZKfn05S0hLq1RuJMYbN9WDMZdAuEQYuupiVK+FBHsSfbHeHKiKVrNxDstbaDdbaKdbaM5yvKdbavyq6uDGmGXAh8Kbz2uAoWj7XOeQ9HMktgIud1zj7BzvHXwzMttbmWGt3ANuAvs7XNmttjLU2F5jtHCsiIiIiIiLVSFLSIqzNITx8FPvS9jH8CvApgG8+8OC/+Y/RoQNMKfrPQRGpTVxdne154C6g0HkdDiRba/Od13uAps7PTYHdAM7+FOf4ovZj5pTVLiIiIiIiItVIYuKXeHmFgm9XRnw0gkP+8O1H8GvKlWymM48+Cl4UuDtMEXEBlyWejDEXAXHW2jWuuscJxDLVGBNljImKj493dzgiIiIiIiKnlaSkpQTWOY9xcyewKX4Tn8+Bzvt9eYCH6MMqLrnE3RGKiKscN/FkjAk/ybUHAKOMMbE4jsGdD7wAhBpjvJxjmgF7nZ/3As2d9/QCQoDEo9uPmVNWewnW2lnW2t7W2t7169c/ya8jIiIiIiIiJyq7viEreycPvzOPH3f8yNuj3mbodniVG9lFS55guh5MJ1KLVWTH00pjzGfGmH84ay5ViLX2HmttM2ttBI7i4D9aaycBS4FxzmFTgAXOz186r3H2/2ittc72y5xPvWsFtANWAauBds6n5Pk47/FlReMTERERERER10vtCh/shPmh8PhiuLL7laQSzKPcxwUs5HyWujtEEXGhiiSe2gOzgCuBaGPMY8aY9qdwz7uBO4wx23DUcHrL2f4WEO5svwOYDmCt3QjMATYB3wM3W2sLnHWgbgF+wPHUvDnOsSIiIiIiIlJNJEbCvL1w8Ra4+1dH27P8m0Tq8Rj3Hn8BY4q/RKRGMY5NRRUcbMx5wIdAILAemG6t/c1FsblE7969bVRUlLvDEBEREREROS288rLh5kT4YjaM2QIHD1jaNErnH3zLHCY4BllbelKptPaKtp3q/MP/rXwq80+HmE51vmIqOa6GMsassdb2Prbdq7TBx0wMB67AsePpIPAvHEfaegCfAa0qNVIRERERERGpFfLzU/nBGwIKYfg2R9ujj0I2fjzCDPcGJyJV4riJJ+A34ANgtLV2z1HtUcaY11wTloiIiIiIiNR0ScnL+SURLjgA/vmwgwheew2u5S3aE+3u8ESkClQk8dTBlnEez1r7ZCXHIyIiIiIiIrXEj9s+JSkPJqx2XD/AQ3h6wv15D7s3MBGpMmUmnowxXwHW+blEv7V2lOvCEhERERERkZpuQfQSfIGRG+FPuvIhVzDtVmj61D53hyYiVaS8HU/PVFkUIiIiIiIiUqvkF+SweO9ezs6FoFy4j0cJIYXp08PgKXdHJyJVpczEk7V2WVUGIiIiIiIiIrXHsm0fE59jGbMdfmUAXzOSx5lOWNgT7g5NRKpQeUft5lhrLzXG/IXzyN3RrLXdXBqZiIiIiIiI1FhzNryPl4Fxv8DlPEQj9nMrLwJKPImcTso7avd/zveLqiIQERERERERqR2stXwTs4q+4f7E72vFjwzmCe4mgCx3hyYiVay8o3b7ne87qy4cERERERERqenW7FvD3sxMbuzSn5lcgS/ZXMtb7g5LRNzA43gDjDH9jDGrjTHpxphcY0yBMSa1KoITERERERGRmufTDW/hAZzf9HLeZzKXMZt6JLo7LBFxg+MmnoCXgcuBaMAfuA6Y6cqgREREREREpGay1vLF5nn0CoPli8aSQRC38LK7wxIRN6lI4glr7TbA01pbYK19Bxju2rBERERERESkJtoQt4GYlIOc28CfN99sTF9+pzdr3B2WiLhJecXFD8s0xvgA64wxTwH7qWDCSkRERERERE4vczfNxQNomHgLW7ca3tduJ5HTWkUSSFc6x90CZADNgbGuDEpERERERERqps82fUq3EFi44Drq14fxfObukETEjY6beHI+1S4Y8LXWPmStvcN59E5ERERERESkyL60fWxO2EqkbcGSJe247jrwI8fdYYmIG5WZeDIODxpjEoCtwN/GmHhjzP1VF56IiIiIiIjUFKv2rgIgbvlNAPzzn+6MRkSqg/J2PN0ODAD6WGvrWmvDgDOBAcaY26skOhEREREREakxVu9djUe+H6uWTOXiiw0tWrg7IhFxt/IST1cCl1trdxxusNbGAFcAk10dmIiIiIiIiNQsv+9dSf1tl5KcHMbNN7s7GhGpDspLPHlbaxOObbTWxgPergtJREREREREappCW8jqvavIXnkz7dqlc/757o5IRKqD8hJPuSfZJyIiInL6Mab4S0TkNLPt0DZSNw4kJbYvt97qqf9TKCIAeJXT190Yk1pKuwH8XBSPiIiIiIiI1EArd62GRU/SoPFupk5t7u5wRKSaKHPHk7XW01pbp5RXsLVWR+1ERERERESkyAfvF0BcN+65exk+Pu6ORkSqi/KO2omIiIiIiIgcV1YWLHt3KP4tVnHlFfXdHY6IVCNKPImIiIiIiMgp+d9zBeQlN+LMCXcREjLA3eGISDWixJOIiIiIiIictIQEePwJoP1XDDt7H15eQe4OSUSqESWeRERERERE5KQ9+ihkZhgYMp1+LYa4OxwRqWaUeBIREREREZGTEhMDM2dC60E/UKfJJro2G+PukESkmlHiSURERERERE7KjBng5QV20F10rGMIDVV9JxEpToknEREREREROTHGsM704JNP4JacR4hlA93rNcfTM8DdkYlINaPEk4iIiIiIiJywmdxMABmc3eoZCoG+zc4CY4q/ROS0p8STiIiIHKH/YBARkQpIJZhPuJzL+YS1fVMAOLv1eDdHJSLVkRJPIiIiIpVkx9Ww9Q53RyEi4nqfcDkZBDGVWaxqCQ19oW2jf7g7LBGphpR4EhEREakEWY1g10TYfyFk13d3NCIirmMtvM4NdGcdfVjN2kDoWgCenn7uDk1EqiElnkREREQqwa5JQCHgAQcvcHc0IiKus2YNrKUXN/A6BxrAvgLofdDdUYlIdaXEk4iIiMgpysqK5cBwaPI1hPwJB4eCtdbdYalml4i4xKxZEEAGE/mYZWc52gZscG9MIlJ9KfEkIiIicqKOSejs2vUYFEKLT6DhQshsCWlpUe6OUkSk0qWlwccfw2XMJoRUfmsPBjj7d3dHJiLVlRJPIiIiIqcguyEcOPAOjb8B3wRo8BOYXDhw4D13hyYiUuk+/hgyMmAqswBYUxdaGQjJdHNgIlJtKfEkIiIicgp2TgLwoMXHjmuvDKj3K8TFfUJhYa47QxMRqXSzZkH37tCXVeSEwqYC6JXs7qhEpDpT4klERETkJGU3hAPDoXHj6/BLONLe6AfIzz9EYuI37gtORKSSrVkDf/wBU6c6jtdt6AdJedBvm7sjE5HqTIknERERKZJdD9a8CtunQqGXs1EFqsu0cyJgoUWL6cXaw6LAx6cRBw++757ARERc4PXXwd8fJk1yXM/v5XgftMZ9MYlI9afEk4iIiACQn5/GhscgvTXsvhz+mAkZGVvcHVa1ld0ADoyAxt+Bn1/zYn0ehdCgwSQSE78hNzehjBVERGqOoqLil0FICKT5wCsB0NvCGfvcHZ2IVGdKPImIiAiFhfls2nQZ6a2h6wyInOE4RrZmTS/2jQTr7gCroV0THe8tPiq9v1GjyVibR1zc7KoLSkTERT75xFFU/IYbHNdPjYBD+fDAJsexOxGRsijxJCIiUt25+KibtZZt227j0KFvaf8C1F0N9ZZDn2sgJGQgf98BG/4LuXUq/dY1VoE37B/hqOXkF1/6mKCgbgRFw8Gv/qVjiiJSo1kLL7zgLCreF+Iz4nm+GwwMhwuWujs6EanulHgSERE5ze3Z8wL79s2kefM7afLVkXbfQ9Ct2/e0mQmH+sLGh90XY3WT3g6sD9RdWf64hgshrRNktKiauEREXOG772DTJrjzTkcO/bFfHiPTE/7lDb46TSwix6HEk4iIyGksIWEB27ffQb16l9C69ZMl+o3xoPlcaPU2pHSHzOalLOIObi54ntrZ8V5nc/njGi4BCuDgUJeHJCLiMs88A82awYQJsDN5J69EvcLwBnDGWndHJiI1gRJPIiIip6mMjE1s2jSR4OA+dOr0AcaU/a8FDRcCBXBgWNXFV52ldgbfA45dYeXxSYK6q+DAULD6ty4RqU6OTeCXkcRfswaWLoXbbgNvb7j/p/vxAK5q7TiaLSJyPPpXIBERkdPUzp2PYIwnkZEL8PQMKGrP9Sw51jcJwn93JlBsQRVGWT2ldjr+bqfD6i+D3PrVaLeYiMgJeOYZqFMHrr8e/jr4Fx+s/4BJ7brQsBBC/nJ3dCJSE3i5OwARERGpellZO9i6ZzZfJvXkf/Nv5GD6QQ5mHOTAvZDpA0O3wXM/QOej5jT6HhLPgkOHFhIePsJtsbtbTs5+chpBnc8rNj5ou+M9IwICXRaViEjli42Fzz6DO+5wJJ/u+foeQvxCGN84ibBfwSPP3RGKSE2gHU8iIiKnoV27nuHxLfDR338RnRiNv7c//Zr144Y1cNevsKopdLsR/vXtvzjk75gT/ht4J8OBA++4NXZ3S039HSh9x9PBQNgXXLwtYBdQ4Eg8iYjUJM8/7ziBd+ut8PPOn/km+htu73sdvoWxhOmYnYhUkHY8iYiIVCfGEHMNFARC25lgCmyl3yI3N55X17zB6iTLzH88z019bjrSOfZjAKatgPvPg1c8X+GjW+HhpfDPKGiwGPaFLSAv7xDe3nUrPbaaIC3td0weBEUfaYvPiOeJoTCzL4Rkw4ZXoL6zzzMX/PdBRiu3hCsiclKSkuDNN2HiRNhlVzB2zlia1WnG5a0aszfWUb9ORKQitONJRESkGinwgz2Xwt5L4O//A2tPPfEUFwcffuh45eXBso338+r2PIa2Opsbe99Y6px6mfDKN7DuhnX03A//+geMvNxx3M7aXA4e/PiU46qpUlNXErTdkVBK9YUHzoXWL7bm+X4wegsk+8ENI4v/7QJjITPCXRGLiJy4116DjAzoevFCzn/vfEL9Qvlx8o9kpf6In18bAva5O0IRqSmUeBIREalGDvWGQl+o+zvsHwU7dtx3wmvk5sJPP8E990CvXtCwIVx5peMVGVnAVS8dwL8A3r35F4yHR7lPM+rasCuL34enF8L37WBBIAQF9eDAgXdP7YvWUNYWkJq6mjqb4JU+0Or/4OFzYXjb4Wx4BWbPhf8uhXmd4IM/PyiaFxALmc2gsDDHbbGLiFRUTg68+KKlfd8Ypv01jDOanMFv1/5Gm7AWJCcvpW7d4e4OUURqECWeREREqpGEgeCVCpH3QeMvYdeux9k1oeLzf/8d2raF885zPIkoOBgefRSiomDBAojL2Mu+d+bR6IWf2JPeu8T8DALYQQSFHElEGeCO36DfbrhjGPiGXUp6+hrS00+/xxllZGyksDCD/2fvruOrqv84jr/OXbJgPUZ3d2MAFi2CooAggoLY2B3Y+TNABSVEEBVQFAkpFZDu7mbEYN2s7vf3x510DNl2L+z9fDzuA3bO95zzPrF7t8++53sWHoNHO0GDKFj1Dfx818/UjHG0eWYJtNwPj898nAMBjmm+ewE3SEvb4bTsIlKE/fsHhgv8oeFU477PISrKYkf1gfSo3YO/7v2LUJ9QEhMXYbenERzcrhBCi8jVQoUnERERF2G3ZxPbAkKWgS0Hqg2BsLAe7HkIDne68LLGOG6LaNkS3N1h8mSIjYUFC+Dll6FxYwiqv4DE+ytTr88LxCXUpBkr6cR0OjGdeqwnKAj8SKUSe7mZvzhK+In12wx8PR3iisGQTduwLI/CG2T8En9hKkhJScuIyYDnKkKTQzBrPDQ+cnobNwNjfwO7sdOvK9gtx612AKmpmwo7sojIJcnMNDw9OAoi1vJCn6b82O1HvN29AYiLm4VleRAYeKOTU4rIlUSFJxEREReRmLiI7AAIXeT42rJDzZrjCF4GO56GY63PvVx6Otx3Hzz8MLRpA6tXwx13OB59/a+kjCTumXwXJX2z+f3DpuyiCq/wDpupzRFKUpG99OoF7/Mi7/ESy2hBY1azbNnJddQ/Ck8ug9HrxhHJdRw9Oh67veCfpW2AvffBgZ6QVrrAN3dBCYnL+GiHB8dtMP5X8LCfu13FBPi83efMqwhDm4PPQRxPtkvdXJhxRUQu2eNvbiPlcGl6D9rJB23ex2ad/JUxLm4WAQEtcXf3c2JCEbnSqPAkIiLiImJipmDLgOBTHlFts3lS+w0ovhm2vgLR15++zN69cO21MG4cvPEGTJsGQUEn56dlpTFqzSiuHX0tB5OjeathJcpHdKM4ybzDa+yjImtozO905auv4EU+5CU+YCnX4EUGrVrBcB7i32Gy35gPZYuX5b0Ne0nPiCY2dkbBHhQgsT7svxf2PAgrxsOKFXXYex8kV4H8f+bfhY3a+Acr47L4dDZUj71w2/sb3k/n7fDiLbAt0FF8Sksr3MLT8RKw8R3Hyzi3s5iIXAEOH7Ez6tMyFKu5gNHPdT1tXkbGIVJTN2l8JxG5ZCo8iYiIuABjDDExUwhaDW7HT5/nlgH1XgL/7bD5DTh2bBLGGP5ZlkzDRjns3Wfn96k5DB4MttxP9v0J+3lh7guU/awsD0x7AOypvF4LOtV7EysPt6s1YD2raEKbNvAIw7mPMaTjjV8mfNHhC7bG7ee3KP9Cud3uUFfHuFfN7oUqX4CHRyj7e8PqkbDl9QLf/AnrDi/ly21HualMNQauvnh7y7IYORX8M6DP7eC1t/B6PBmTw8GDX7BiDMQ1g9jrIEpDsojIRfR8aB/2TC/e/jAJL3fP0+bFxc0GUOFJRC6ZCk8iIiIuICVlPRkZ+wldfO75S0Lh1RXw8FKo820PvJ6tQus2KSTaD5F4b1VuW+1O4AeBVBpSiQZfN6DS0Ep8svQTbqp4E/PGwrfe+2ibA+Fl+uQ5UxAJTJsGbzCYcdxLU1ayisZ0qdGFLtW7MGbPcTYfmk5WVlw+HYWzZWQcJuZ6iJgJPpFQ5ldo2HA+13aDUlMg+kZIqVRgmz+ZIzuDe369Bz93GNbubfLaeahEKgydCWtKwfJjkJ6+i5yc9ALNmpq6hbVrW7Jr1yACN0DzPlB8E+wZCFlZCQW6bRFxXZmBEHUL5Hice/4C2zUsnFqJ8DbjeerW0wcWzMg4wv797+DtXQFf3zoFH1ZErioFVniyLMvbsqwVlmWttyxrs2VZb+ZOr2hZ1nLLsnZZljXRsizP3OleuV/vyp1f4ZR1vZQ7fbtlWe1Omd4+d9ouy7JeLKh9ERERKWgxMVMAi5AlZ89bUhY69IYNYVBxOzT2qUGxn6bjjT9vj17NF72f4o3Wb9C3fl+uLXstpfxL8cJ1L7D3ib38fNfPVGoGaVWgypeOQcsvhc0Gg3mLmXQgniBasIxXXoGPbxqKzebO0J124uPn5schOKfDh0dgbFB66unTPROh4rdgS4eDdxbY5k945e9X2By7h+eqQ6USbS9p2bu2QJlE+MkDwJCWtq1AMgIcPDiEVasakpa2nRo1vqfui+B9FKoOgawA2LdvcIFtW0Rc275+sO0VWDEOjh2beNqtyjnY6OP9Bfgf5OsPy542rlN2diIbvi9FZvxeavXbh2VT3wURuTTuBbjuDOAmY0yKZVkewCLLsmYCTwOfGWMmWJb1NdAfGJ77b7wxpoplWT2BD4EelmXVAnoCtYFSwJ+WZVXL3cZXQBvgILDSsqypxpgtBbhPIiIi+eeUW95iR0BAk+vxTFh0WpN1Uevo2BtKJcPCMRCY4sUtezeRHpPDRx+1pfu191Cq1GPn3cTx4/vZ1xdCFkPYeXpT5UU75rCZ2jzNp7z33v1MmVKO+54azpeH+jFjyyjuC+/x31d+HnZ7FkeOjCB4BRQ7fPZ8j2SImA1HOkKlzKN4epbI9wwAqw+v5pOln3BXxfK0LlmchQsDmcpnzONGujKFwbx5wb/kudvhwdXw2k3QPw1qpG7G379hvufMzk5k166nCQq6hZo1v8fTMxxw9HDz3wWlpsGhLl9SsmR//Pzq5fv2RcR12W0Q3crR+zHHG7Zs6UnxL6HyMAjYAl+5DSAyrTE1H3qLrvVeO7FcTs5xNm3qSloFqPsSFN/uvH0QkStXgZWrjUNK7pceuS8D3AT8kjt9LNA19/9dcr8md/7NlmMQii7ABGNMhjFmL7ALaJb72mWM2WOMyQQm5LYVERG5oqSXgJSqEBJy+sfY9hBo+31bimfAn+MgPMXiHsazeLEb48bBTTf5sGPHAxw6NPyc6zXGsHPn4wBUHXr5OQNJ5Fv688cfkJgIwx68F5+/P+XjxRuw2y+xK1UexMT8RmbmEUr/fv42ZSaD8eS8xyA/fLNyFB5bexM97n+0b7+Mm2+Gb3gQN3J4i8HcyzgyMy+8jgFrwD0Hph6xFdgA44mJiwA75cq9kFt0Ol3F0eDuHsTOnY9jTGEPyy4izpTQELKCoOxEaPIgVK/+LcdLwNqvYPGzwbzo9h6Un8/ol9ueGAfQmBy2br2HhIT51PgAglc5eSdE5IpVoP0kLctysyxrHXAMmAvsBhKMMdm5TQ4C/z4YuTQQCZA7PxEIOXX6Gcucb7qIiMgVJTb3SXWhoScLTwcCoM29jv/PHQflEuFpPmUyd/Lpp9Czpyd16vxGSEhndu58hIMHh5y13piYKcTGTqPCd+B9LP/ydugAmzfDffdZpP3zFFvf3E2Xvus5dCj/tgFw6NBXeHtXJHjF+dv4HISQJXD48DByco6fv+F/dDQ2nTEvdCVr4njWrW5Fp04HmDIFYghlNY15l5f5gXvo0AESKX7e9USkQLetMCsKYhLX53tOgISEBViWB8WLtzjnfI9kqFTpPRIT/+HYsQkFkkFEXNOxG8EtFYKXg2WHkiXvo1kfKP8dvLPpHdKzA2hy++OUNgvJyDiS+4eLx4iJmUzlyp9S4i9n74GIXMkKtPBkjMkxxjQAyuDooVSjILd3PpZlDbQsa5VlWauio6OdEUFEROS8Yq4Dn73g41MVgKO+cMu9kOQFc/rMoVosvMbbDOFJnuQznnrKsZzN5kXt2r8QGnoHu3Y9yYED/zuxzuzsZHbtGoSvbz3KTM7/zAGBFqNGWyz3r4N37d+Y/mM9KlY0DBgAO3Zc/vpTUjaSmPgPpUo9jGW/cNsyv0BWVjTHjv1w+Rs+xd690KR5Btk7bqb/C1P55ZeSjByZQZcu4EsaFvAy7zOOPvzzD1zPIiIpc971PbISkrPt/L57Zb7m/FdCwgL8/Zvh5uZz3jaO2+was3v3s2RnJxdIDhFxLXZ7JjEtIXQxuGWdnO5+HFLH1mbWrAehyVe8WH4Te/Y8z9KlZVi9ugmHD39N2bLPU7bsU84LLyJXhUIZGc4YkwDMA64BAi3L+ndsqTLAv38fPQSUBcidHwDEnjr9jGXON/1c2x9hjGlijGkSFhaWH7skIiKSL7KKQ0I9CF0EqZmpfHoNNHwIDvnDHz9AzaAG3Ms43uVV+jOKT3jmtOVtNk9q1ZpAWFh39ux5jv373wMcg0hnZByiWrVvLnlA8UvRLHkzL/S+Fx6vys137mX8eKhRAx57DJKS/vt6Dx8ejs3mTcmS93PUFwZ2hqfbwZzKcDz79J5NgWvB17cekZGf5dstZAsXQrNmEHXEjfAH7+W5++fi4eGNj0/ts9r2YTwzZ8J+ynMNS/mHlmRy9mOjWu6HaoHh/Lw/huzslLPmX47s7GSSk1cTGNj6gu0sy42qVb8kM/Mw+/e/k68ZRMQ1xcf/SXZxCJt39rwXvV4Gz1R6B79Ft6egWbNtlCv3AllZsZQs+QCVKn1Q+IFF5KpTkE+1C7MsKzD3/8VwDAK+FUcB6t/nz/QF/h25YWru1+TO/9s4fnqcCvTMfepdRaAqsAJYCVTNfUqeJ44ByM945o2IiIhri20BKQbGxEP5z8vzTDuoEQPzxkKNyCDatoXx9OEdXmEkD2Dj7MKKzeZBzZo/EB7em717X2Hb8xYH939GyamGgIBz33aVn/qsg7Kl9hF5fSf27rPz6KMwbBjUrAm//gqXWgvKzk7i6NHvCQ/vybLDW2j4EIyrD8OaQrs+EPxhMB17w5DmsD8ALKBs2adJS9tMfPyfl70/330HN98MxQOzyL6/CQ92r0JK8nL8/Ztis537uSy33AKLcNwz2Zp/8COFBg2gH2P4jCf5k5vZQyXurXkHO1Ng4Z5fzrme/yopaQmQc9HCE0BAQAsiIu7n4MFPycw8mq85RMT1HDs2Effks8doWutRhRmZPfCpP5yPF8UB4ONTnUqV3uOaa/ZRvfqIE+M9iYhcjoLs8VQSmGdZ1gYcRaK5xpjpwAvA05Zl7cIxhtPo3PajgZDc6U8DLwIYYzYDk4AtwCzg0dxb+LKBx4DZOApak3LbioiIXBEM8N610HMpvFMfril7DUtGwd9jIfRQRa5lCcuWwY/czSu8x4V+/LfZ3KlZcywRMyGqI3gkQqWRhbMf4cuhXwXYHL2NBTGT+OILWLYMwsKgWzfo0gUOHMj7+qKixpGdncLPh4tz49gb8cuE5SMh7kP4Yzw80OgB9gTBkx2g0hPQrTvsOF4Wd/dwDh787D/vR2oqPPoo3HcftG4NvYd8CaE7uKdOT1JS1p137KR/1WMj66nPBHrwDJ9QsiTMph1P8xlt+JMq7Oa19sPgk4PcdWtj7rkH1ufTcE8JCQsgB4qXbud4WuJFflksWbI/xmSTlLQ8fwKIiEvKyTlOTMwUQheBLfvkdLux07XMi+CWyfdHPqVk/nbCFBE5jVXUnmrSpEkTs2qVHskgIiLOt7yiRYt+cEMmfD4a6kcZsCyW04zOTCMbd37/J5iWrc4oIlzgs9vYLCK7Q/GtELght+2ZRYhzTTvf9DxMM8DiRRHcvyIdy6MEmx/ZjLvNnexs+PxzGDzY0fyuu6BKFahc2fGqVAmCg09fvTGGv5fU4O2Nx1hwNIE7a93J6D6/UDzj7O3vCYJRjeCbxhDnA/VCSnFr2GGe7bCOoOL1z3uMzmXRIujXD/bsgaeegvffN9QdUYMIvwh+7/ou69a1pHbtXwkLu92xwCUcp6OEs5na7Kc8+14fzZg/x3HwSHkCE1uTcdzG2LFw551cljVrrsMsW0LjR8/efrQP2AyEpHPi2snJSWPhQn/Kl3+VihXfvLyNi4jLion5nU2bulLveQg+ZXi55yd9ycc9B3J9+HAWRj1xcsb5Pl8K+HOkwNaZH5nAtfbJFTNd7vLKdHa7K5RlWauNMU3OnF4oYzyJiIjI2b5rC+4WjJkF9XPveIomlM5Mw59klnINLVte2jotA+Um5hadCokFhIZ0pF+FLHbE7mD8hvEAuLvDs886noDXsSPMng2vvgp33+0YPyk0FEqXhgcegGnTIC0NVu8bT59FO1gcncyQ9kOYdOek04tOp6gUD+/9BZGfwfBOwzlufHhvG9Qb0ZKolKg8ZU9Pd2Rs1Qrsdpg/Hz75BFYfXcaO2B30q9+PmJjJWJYngYE3/KfjU4Jj3MQ87uM73nzTxodvvY/pexOPffc19es7CnKDBzu2/1/k5KSRnLySwNzeUwne8Ht1eGLmE9R7GMKfhzqPwGH/k8u4ufng61uL5GT9MU7kanbs2ETc3UMIXHNy2pzK8PH/wGYMP0R97LxwIlJkqPAkIiLiBMYYppSB5t5Qfs2/0+BhhpNIAL/Therkw+PhCklISEeuCUyjQXh13lzwJpk5mSfmVagAkybB4cOO29k2boQpU+DTT+H662HiRLjtNgjxTeP69gEkLLufP0Z7MajFE3kaX8QnCx5q8hBbH9vOsJZtOJaezP1T7r3oQOPLlkGjRo5C04MPwoYNjgIUwHfrvsPHw4duNW/n2LEJhIR0xMMj6DKO0En1SzalfqAXP+z9hL/+ttOvH7z1lqPXU8p/uN0lKWkpxmThtwG69ISQ56Hr3TByzUgiUuD1+ZDsBd3vgqycrBO34vn/sonkXX/k24DsIuJacnLSiImZSlhYtxMPmdgXCD3aRWCtGcC9jKUcB52aUUSKBhWeREREnGDerh+JssOdOzkxdtOECTCZO3mL16nDlTVsYVDQLdhs7gyqU599Cft48c8Xz9nOxwfq1HGM+/TUU46CVEwM/DI1iWL1RpF5rB7pU0bTY38kr/I2UefouJSQACMZQGvm05hVPM+H/PknZGbYuLf5ZzxQEWbunsuoNaPOmWHdOujaFa65xlHomTMHhg8HPz/H/PSsdCZsnsCdte4kJ301mZlRhIf3ypfjBODrW5vbSmawJ34P8yNn8+238Nln8PvvcO21sOMS640JCQsAG+M9YGoNeGI5LBgD8S/EM+d7eHM+jJoKi8vBc3OfO7Gc/w7ICoaMDP3iKXI1io39A7s9lfDwHgCku8MdPSBt1TNYdk9eMR86OaGIFBUqPImIiDjBuNX/w8OCe3Kf7XqECB59FFqwlGf5n3PD/Qfu7gEEBFxPba9tDGo2iM+WfcanSz/N07IZJpmPjrYhresTfPJtReZGXMcNzOc9XqZ8eXiAEWykDtPpRA8mEBEBAxnJMcLxI4XPeZI2bSAoCG6/vTa2FaOocrgrT/w0hB3Ru09sZ9MmR6+ihg0dt9S99ZbjNsA2bU7PM2XbFJIykuhXvx9Hj/6Im5sfISG35tux8vWtTctQKOETwpDlQ7AsePJJmDkTIiOhRg249VaYNStvt98lJPzDcfc6vHk9dNgJn8yGVvvBy93rRJuem+DJpTBk+RB+quOY5rfd8W9y8up82zcRcR3R0RPx8ChBYGBrtodA6/tgbfEQbCsf4u67Laqw++IrERHJByo8iYiIFLLMrFSm711PSzuERjsG5x7ICNLT4Tv64cZ/HOzHyYKDO5KWtoH3b3iGO2vdyTNznmHCpgkXXCYjO4PbJ97O6sOreacktD4Et0Qt4Ve6sZ3q9O8P47mHemykM9P5m5sYOBBW0oQt1GIBNxBHMDNmwEMPOW7n++KL/uwa8Rvpn2yiRuky1G9guPlmqFfP0bvp9ddh3z547TUoXvzsTGPWjaFCYAValmtBdPRkQkPvwM2tWL4dJ1/f2njYoG+tlszePZst0VsAaNvWUQh79VVYtQo6dIBq1Ry3AsbFnXtdOTnHSUpaxvDdmWS4wdCZnPfphx/NhevLXc+A22BzGPjtBnLQOE8iV6Hs7BRiY2cQGtqNYSu/puFDsDsIun37BMeNHy+95OyEIlKUqPAkIiJSyGZs+oDYTEOv3I4mY+nLdDrz/vtcUeM6nSmk9fMAJNxZnu97/ULL/dB3Sl/m7Z13zvY59hx6/9qbv/b+xZdtXqBJDSg1/eT8quxi2DA4QDmGMIjfuY3DlGLoUGjC6hMFFj9S6djRcbvapk0QG2sYNaoXXR99HtPkC4577yYqCl56yVFwevNNCAw89z5EJkby554/6Vu/L/Fxs8nJSaREify7zQ7A27siNlsx7igfjre7N58v+/zEvFKlHD2xDhyAn36CkiUdg59XqgQ//nj2upKTV7A2PoOp+7bxwmKocp4CFYCHnRODtd/RA1Is8N2rwpPI1Sg2dhrH0tN5dOkqHpv5GK33wZKvivNn7OPcwWRq13Z2QhEpSlR4EhERKWQ/bfgWbzeLHnMgkjI8wRBasYBBg5yd7PL47AOvKIhrAd7Z8PtPUCW4Cl0ndmXD0ZOP2dsavZV3/nmHht80ZPLWyXze7nNaBezHLQXC5p+93jBiGMQX3MY0PMg+f4DcQbODQ2x0+O0nBnX7mK6PzWBPp5qM/3Mt774LwcEX3odvVn+DwXBv/Xs5duxHPDzCCAy8+T8dj/PHtOHjUwvvnL3cU/cevt/wPTFpMae18fSEnj1h4ULHmFS1a0Pv3o5XQsLJdtFxfzNkJ1QIKMdLCy++7ZL+JZn0M+wOhn5dHbfbJSev0gDjIleZXzd+wf2rLJYe3sTwTsP54wf4JfUxEgnkZd5zdjwRKWJUeBIRESlESSlbmXvoMDeXrYNvJgxgFDm4MYb7sF3hn8oWELIc4huD3QOCjsOs3rPw9/Snww8dePmvl6n5VU1qDavFa/New8/TjzFdxvBI4z5ER/9CibnglpE/WUrMBU/PUJ6p7k2YTxj3/HYP6VnpF1xmfdR6Plr8ET1q96CcfyixsdMInxiNzc3jRFGLPDxlLy98fWuTmrqZJ1s8yfHs43yz6pvztq1fHxYsgLffdjwBsF49xxhVAMPX/MC+NBja4UuKXaAmd6qWBxy33U2pCT/HQ3Z2LBkZBy5/p0TEJWRnp/HW6mWU8Alk7YNreajJQyRRnE94hluZRmPWODuiiBQxV/iPuCIiIleWKeveICEL+jR8gnHcyxza8RHPU4m9zo6WL4KXQ44PxF7j+LpsQFlm9p5JamYqHy7+kFL+pfiyw5ccevoQS/ovoV+Dfhw9+j3GZFBqRv7lcMuEUqUeJjt5NsPbv8OW6C08MO2B8/bsycjOoM9vfQjxCeGrjl8REzMFu/044X/lX6ZT+frWJjPzMNWCStG2clu+WvkVmTmZ523v7u4Y+2nJEvD2hptugocGJTB8TSw3lqpA5+qdL2n7Ty2FW7fDu6VgV4putxO5mizeNZqo44bHm/SjWkg1AIYyiHiCeYM3nBtORIokFZ5EREQKid2eyS9bp+Lj7sY1ob14mk+5jkU8xNeXvrJTe+DkY0+cyxW0Cnz3wPZnIL2UY1rdEnXZ+uhWjj57lL/u/YtHmz1KKX/HTGMMhw+PwN+/uWOw63xUqtQjWJYHNT3W8O5N7/LDxh8YPH/wOdsOnj+Yjcc2MqrzKEJ8Qjh69Ee8vStQfEv+ZvqXr69jgJXU1M082fxJjqQcYdLmSRddrlkzWLMGHngAvvkikOMfHcFtylxmzYKcS/ixzgLG/A6hafDWFjgat+S/7spFNuR616jI1e7XzWOxgLvqPwU4bs/9lKe5jd/V20lEnEKFJxERkUJy5NivLDh2nI6VWvLqi8VIxp8RDMTG1TO+jlsW1HkVMLDxHcjOTgYcYwuF+oSe1T4paQlpaVsoVeqBfM/i5RVBePjdREWN4dnmD9G/YX/e/udtxqwdc1q7xQcW89HijxjQcACdqnUiM/Mo8fF/Eh7e67xPiLtcvr51AUhJWUO7Ku2oEVqDz5Z9lqexlvz8oPsLf8GDDah549esXV6JDh2gPPt5mXf5gV6O1w+c+P9k7mA+rdm0CaIoQSYehKbB+MlwMB1eW3Lhpw+KyJXBGDtzdq+mnoGSAeXAsvj8c0ggSL2dRMRpVHgSEREpJL+t/5ikbKib9g7ffw8v8gG12OrsWPmu2BGo9RaklYNt2/pijP28bQ8fHoGbmz9hYT0KJEvZsk9ht6cRFTWK4Z2Gc0ulWxg4fSB/7XHcQ5eSmULfKX0pH1ieT9t9CsCxYz8DOfn+NLtTeRcrj/chiPv+CWw2N55s/iRrjqxh0YFFF102MyeTx2Y+RpnKO/j6rW84dMjGL79AA9bxIS9wDz84Xvdw4v93MpkbmU/dulCSKLzIJIIjzNj3MT2DOzPlwGF+2vhTge2vS1EvLLmKbT8yg23pcOt+x9fxBPLZZ9CV32jIOqdmE5GiS4UnERGRQnD8+H6m7V2DP0F89961VKvGVf1koeA1UHk4xMT8xv79b5+zTVZWPNHRkyhRojfu7n4FksPPrz6BgTdy6NAXuFnwy12/UCO0BndMuoPNxzbz3Jzn2BO/h7Fdx+Lv5Q/AsWM/4etb78TtcAUleAUkNIAcD+hTvw/BxYL5bNlnF13u89ZebIvZxuOl04mYuBUvb4tu3WA6nTlGODupwk6qsGMH7KAqO6jKOurzFzcxcSIM42He4jWuYzFDeIKfBk3F76eZ9P94Crtiro6xxkSKql82DAPgrnmOrz/jKZKSUG8nEXEqFZ5EREQKQeSRiSyOgXLrR7N3j8U334A3+fQINxdVZjKUKNGXffveIDp6yonp2dmJxMRMZ8eOh7Dbj1OyZP7fZndajjJPk5FxkIMHhxDgHcCMXjPwiUnixv/V4evVX/P0EkOr8q0ASE/fS1LSkgLt7fSv4BVgLwaJdcHHw4cHGz/IlG1T2BO/57zLRCZG8lZr6HgQmpWCwPWnzw8hjirspgq7qVoVqrKLquyiPhu4iXl07w4P8zWv8Q6TuZP9lOfllw/jEVOX9O8nUru6N888m8OiRZCTU8AHQETy3cw9iyhrQb39EEcQn/Mk3bpBfTY4O5qIFGEqPImIiBSCmTsmkXqoLlunduG+++CGG5ydqOBZQLVqX+Pv35Rt2/qwa9dTrF7dlEWLgtm0qTMxMb9TsuQD+Ps3KtAcISEdCQ29nT17nicm5nfKBZRj+o+Q6gG1jsE7fzvaGWOIjPwfAOHhPQs0E0DQOrAyIa654+tHmz6Km82NV/5+hWx79jmXeWbOM+RY8LwnWFmOwdwvRymO8Pbbofw8sRr933ifzKD1DBkCLVtCRATcdx/89hukp1/edkSk4EUnbmRlTArtjznefz/laZIpzuBzP1NBRKTQqPAkIiJSwOz2TGbu2YhtxkhCgi0+/tjZiQqPm5s3der8hpubP4cOfYXNVozy5V+l/lNwfZsMqtcYWeDj7FiWjZo1x+Pv35QtW+4mKWkljY/AhuGw4DvwznYMyLtz5+McPjyMUqUewdu7fIFmAnA7DoEbIK6Z4+vSxUvzastXmbBpAl0ndCUlM+W09nN2z+HnLT/z8kLwbAlBq8Ej5RwrvkQ2myeBgbV4rMuftHr1fUq91YAffsyhbVuYMgXuuANat4bjx//7NowNUivAkSOj2f6sxcrRFpsHa4wlkfw0ZeNnZBm4cxnEEswQnuAuJlG3rrOTiUhRp8KTiIhIAYtPWMI/f3fHHtmczz6zCAlxdqLC5eVVmmbNtnP99Qk0bPgPFSu+SdA6xxPwCoubmw91607F07MEGzd2Jr0EVI6H0DSwuzkGQT98+CvKln2WqlW/LLRcwSsgrQIcP34AgME3DGZ4p+HM2jWLlmNacjDpIAAZ2Rk8PvNxqgRX4cEYyIiA8Pn5l8PfvwnJyat5svkTRGZuwrP+b/zwAxw7BmPGwMqVMGjQpa/X7gZbX4RFU2HlGNi+fQDRrcDuAdE3QkZw/u2DSFE3dcdMinu4cdNa+IjnScWXwbzp7FgiIio8iYiIFLS/d44jbeljlKyQQK+CHzrIJbm7++Pm5uPUDJ6eJahb9w+MyWDjB5Dl6xjYe/ObcPToeCpWfJdKlT7CKsReOMErHP/Gxc0+Me2hJg8xvdd0dsftpvmo5qw9spZPl37KjtgdfNHhC5JaOW6zC7n4A/DyzN+/CTk5idxSthaVgiqdGOTcwwP69YMXX4SRIx1FqEux+xE42g7C/oEa70OzZtu4rivUzv1d+N/eXiJyedIzovnnSBQ3lanBXHt7/sez3Ms4arPF2dFERFR4EhERKWhj5xyBQ8154jEv3VnkZL6+Nald+zfSS8Pmt2DjhxB7DVSt+hXly79cqEUnAJ/94HUU4uJmnja9fZX2LLp/ETbLRssxLXn7n7e5vcbttKvcjujWjrGdPFLzL4e/fxMA0lLXMajZIJZELmHFoRUn5r/9Ntx0Ezz8MKxZk7d1HjnyHYfugDI/Q42PIGIO+PhUxzLguwc8oyG2Rf7tg0hRNmfrlyRlQzPvx+jJBOqxga941NmxREQAFZ5EREQKVHZ2EvOndcPmmcZDA4o5O44AQUE3UP1jSGgECfWg5ntQuvQjTsliAcErIT7+T+z20+89rFeiHssHLKd6aHXcbG583v5zkpNX5PttdgA+PrWwLC+Sk1dxf8P7Ke5V/ESvJwB3d/jpJwgLg27dIC7uwutLSlrJjh0PEbgGKn199nwLCFkO8U04a79F5NL9vnUS7unBjHzpAYqRzu90wZe0/7Yyyzr9JSJymVR4EhERKUB/r/uF1LW9aNp2LQEBzk4j/4qYC7XegvrPQIm/nJsleAXk5CSTlLT0rHml/EuxtP9Sdj2+i3IB5Th2bBJWJoQszt8MNpsHfn4NSE5ehb+XPwMaDuDnzT8TmRh5ok14OPzyCxw6BPfcA3b7udeVmXmUTZtux9Mzglpvgu087YKXQY4vJCbm886IFDE5ORnM2bcH3ym/c+igG79xO+WIvPiCIiKFRIUnERGRAvTB8GTI9uG1Z8s4O4qcIXweBK13dgoIWgOW5U5c3Kxzzvd086SEXwmMMURH/0xwPt9m9y9//yakpKzBGDuPN38cg+HLFacPtN68OQwZAjNnwhtvgDGnr8Nuz2Tz5jvJzo6jTp0pbPeGmo/CYx3hjKaO/c6CuLg/8n9n/oPExKVERY11dgyRS7Zy7w8c+u0TErdfz4gRcA3LnB1JROQ0KjyJiIjkp1NuT7BbNhZP60ixCsvo1Lq8s5MVTWfeMuKCt424p0Lx4teeNc7TmZKSlpOREUnY/ILJ4RhgPJn09J1UCKzAHTXvYMSaEaRkppzW7qGH4N57HeM+tW8PO3acnLdr11MkJi6ievVvmX84kmv7w4EA+KoZDL7x9O25p0PABoiNdX7hKScnjS1burN9+wPk5BRAVU+kAL3+SSysfIwHHoujb19npxEROZsKTyIiIgVkQshNZEZXpfXt85wdRVxccHB7UlLWkZFx5LxtoqMnYVmehC4pmAz+/o0BR88fgKdaPEXC8QTGrju9F5BlwejRMHQoLFsGderASy/BwYMLOHx4GGXKPMPYXQfoMqELNWJgxxfQfw283RqGrxx+2rpClkNa2maOH99fMDuVR5GR/yMj4yDGZJGQsMCpWUQuxcKFhrkjnsS31myGfx7s7DgiIuekwpOIiEgB+cDnEfCJ5rkBFZwdRVxccHB7AOLj55xzvjF2oqN/ITi4He4F1CHH17cWxYpV5dChLzDGcE2Za2hWuhlDlg/Bbk4fqMndHR5/3NHbqVcv+OADaNKkFvMX3sdbG47ywp8vcFftu1jwHZROhq+nQ+ft8OgfjzK55sn1hOTeERTbvYLTeqYdP36QAwc+JCTkNmw2b+LiZhfatkUux5Ej0O3OTAjcR99Xx+Dm5uxEIiLnpsKTiIhIAThIaTYe7IJPs9HcULeXy9/uJTj1HPn5NcDTM+K84zyduM0urHuBZbBs7pR7cycpKWuIa27DsiyeavEUO+N2Mn3H9HMuU6IEfPcdzJl7ALdih3jz9W/5fmgV3rzhTSZ0m4BP7gPr3O0w4RdoUaYFvbrBgtw7T4tFgrd3JeKaF9huXdTevS9hTA5VqgwhIKD1eYt/Iq4kKwt69ICEuGzocQcD3piozxYRcVkqPImIiBSAL20DAYtbbpt53qd6FRkqul2UZVkEBbUjLm4OxuScNT86+mcsy4vQ0NsKNEeJueB1FPb3AWMM3Wp2o1xAObpN6sbN427m82Wfsyd+z4n2BxIP8PaCt7l/XV0O92mCZ5PvYcFgfFa+jnXGufbJgum9plM5Hm67GzaUAAsICelIfCPI8SjQXTunxJpw9Oh4ypZ9hmLFKhAc3I60tG0cP36gcIPoe+Tql8/jzb3wAixcCKVvH0DF0ptouOPiy4iIOIsKTyIiIvksEw++cXsAqs7g7usaODuOXCGCg9uTnR1HUtLK06Y7brP72XGbnXvxAs1gy4ayEyCpLiQm/oOHmwd/3fsXz17zLFEpUTw1+ykqD61MnWF1uGXcLVT4vAKvz3+dEm5JfJydQ+zafvRgAs89B8OHn73+4GLBzBoP/pmO4lOKJwQHd8ReDBIbFOiuncUAux4DT88IytV5DyyL4JZPAxAXp15PchkKuJA4cSJ89hn0GxjL/toTuC023zchIpKvVHgSERHJZ1PoSkJWSbyaD6N9zQedHUeuEMHBbQAbBw68y8GDXxAVNZbo6CkcOTKKjIyDhIcX3G12pyr5B3jEwf797wJQJbgK79/yPpsf2cyux3fxWbvPCPcN52DSQV5r9RoL73yR/zWEhyaBX46d7+nDrUzjkUfge+45a/3lEmHiz7A/EN5qDYGBN2DLgNhCvt3u2C2QXAsqVnwf93THNJ/94BkN8fGzr4gnIgpF7hxt3gz9+8N110HF21/AAL2WOjuViMiFuTs7gIiIyNVmGA9jC9zDdfVmE+Dn/EfFy5XBwyOEkJDOxMb+Tmzs6WMq2WzFCAnpXCg53DKh7M+w58G5JCWtpHjxpifmVQ6uzJMtnuTJFk8CYLdns3x5JfzWgN/u3P0gm5+5i043Haff39/hSyp38Ntp27gu0vGku89aQJ+YXQSuxTHO05eFsovkeMPugeC3HSJa3wvcBzhu/QteCTEl/8TYwCrqt8mKS0lKgjvuAD8/mDQJOv82jUre0HSFs5OJiFyYejyJiIjkox1UZQE3Ym88go6x5qxxbkQupG7dKbRqlcG110bTvPkuGjdeQ/3682jceFWB32Z3qlK/g7t70IleT+cTE/MbGRmRlJl8+nRvMvj9d2jOcnoygUncddayH86FgAx4eMbDBC2H9DKQVjo/9+L8DvSAzDCo8iVY1uk/DgevguzsBJKqF04WkbzIzIRu3WDPHkfRye4byZqYY3RKVYFURFyfCk8iIiL5aAQDsVlZ2Bp+R+dVzk4jVyKbzRNPz1CKFauMv39DgoJuwNe3VqFmcE+H0qUHERv7OykpG8/b7uDBz/D2rkzIsrPn+fnBH3SkIWvpwSR6MIFjx07OD0mHj+fA4sjFTE9wTItrkb/7cS5J1eFALwj7GwI3nT0/aDWARXzTs+cVJLubY9wpuToc7ggrvoXMoMtflzHwwAPw558wciS0agXj134KQI91l79+EZGCpsKTiIhIPsnIgO/oh2f1KTQpe5QKKjzJ5XLi+DVlygzCzc2PAwfeP+f8pKTlJCUtpUyZJ87b4yKQRBZxPe/wClPoSu3aMIEeJwosfddDy3ItebUZZO4p+HGeMjNj2PwmeMZBtSHnbuORBP7+TYgrxMJTjjesGg1rh0JmYOFtN19oLKyzZHvD3gcgrSJsfcnxgIDL8frrMG4cvPkm9OvnmPbzll+o7AvNFlx+XhGRgqbCk4iISD759VeIJZTjTUdwmwHPBGcnEvnvPDyCKVXqYY4dm0ha2q6z5h88+DlubsWJiOh34fWQzSu8xxoaUakS3M0EujKFQ5TCZmB4p+EkecGIHZBQ31GEKQjG5LB1690cD4SR0+Gj+mA/T40kOLgdSTUhy7dgspxpT39IKw8p1WDNMEhJOUdXLFegAlOeHO4CWYFQchrEN4XIyP/953WNGAHvvOMYUPy11xzTDiQeYE30QdqXLYdHUv5kFhEpSCo8iYiI5JMRI8DPbzc+Vf6i+yJnpxG5fGXKPI1lebB+/S1s2nQHu3c/z+HbLKJbWhw7MoGSPybh7u6fp3XVZgtLlsDHPMsc2lKRvXRhCpvn12bQIm8mF4N1aRDfqGD2Ze/ewcTH/8nqn2BMVXj1Zri9ByRlnP2be1BQW3CDhALKcqrExCUcugNK/woNBoHdA9auvZbY2FkFv3HJdzk5qUT2gKCVUO1TCJsPe/e+QmLNS1/XjBnwyCPQoQMMH36y1jdh4xgA7qrVLf+Ci4gUIBWeRERE8sH27TB/PmQ0G8kNYYbyc52dSOTyeXlFULPm9/j61iEtbSsHDw5hx9Ow+W3H/NK/XXj5M7m5wbN8wkbqMoihrKIJPXrAyHlH8Z04hvdn3MiRArjdLiZmGgcOvItbwN28GwGt98HnM2FGNbhm9DXsCj69ffHiLXBLhbgm+Z/lVDk5x9m+vT9ex6DiKCi+Axo9DMWKVWbjug4cvMPCuFjvoozggj8uV7JDh4aTFQQVxjqekljtf+DlVYatr11aD7oVK6B7d6hf3zGYuIfHyXkTNoyjqh80qtAn3/OLiBQEFZ5ERETywciR4OZuJ6vRGO6KBs9EZycSyR/h4XdRr950mjXbSqtWabToAfWfgoaPQ7Gj/22dVdjN/3iOA5Tjr7/gLn7GbL+do6P+5o5lI0nHK9/yp6fvZuvWPvj5NeLLXVmke8CIafDEcpj9PUSlRNH0AZhT+eQyWXY7h9c4eka91QqOu+dbnNPs3/8OaWnbqP6pY0B3AO8YaNBgISFLYdcg2P1wwWz7v9rxNGz4GI7e5OwkricnJ43IyI8JWgkBmx3TPFKhZs2fyAiDHc/mbQD5WbPg5puhRAlHryc/v5Pz9iXsY230Hm6J8MfPr0FB7IaISL5T4UlEROQyHT8O330HwfX/omToMTrOcXYikYJhWW54H4OgdRCw9fLX54adm26C0Qwg1l6CWo3fZdfSAdTzWczevZe/frs9g02bumFZNiK9H2XSll945R+oFuuYf/NeWPnASsokQYfe0P0uaPQg+L/vT087fHgMBt8EQ/OrF9Yp4yMlV7E4sPddSpToS/DK05u5u/tR53Uo9Tsc7A5JNfJp+5cpIwhiW4CVCdufh6QkPUHhVIcPf01W1jEqjDt9ekBACyqOhugb4MitF17HyJFw661QpQosWgQREbkzcq+bSZ0rAnDH+mQsF+oJJyJyISo8iYiIXKZff4XYWIiu9SHti0PoOR4tLyIX5k0GCw6/StC9ndmdU5lGjQ0zZ17eOuPi5pKaup7SFYfw1J9vUSusFi8sPr1NpaBKLB0NPTbDgvIQmgZPX/M04+fCD83gpkR4ryXEFru8LKey2xyFG49EqFLl03O2sQxU+ho8EmDv/fm37ctxtA3gBvWfBY942LSpKxnBF12sSMjJSePAgQ8JDLyZgHOMDV92omPcp12PQVrps+cbA6+8AgMHQps28M8/UKrU2e0mNIYa/lB/af7vg4hIQVHhSURE5DKNGAHBpeKg4t/03gq2HGcnErkyhR6BD5tNxzzYGFvgQTp1gsGD4eBBSEoC+yU+lT4+fg42WzG+2LSa/Yn7GXHrCDzP8f3plwk/Toaj/4M538MHt3xA78VQKQ4eC4ZkT3inlaNtRgZMngwbNvz3/Yzs4XiCXbXPHU8PPB/341DuR8eT0RIS/vnvG8wHxhiiOkDxTRC4Eeq+AtnZCWx6G3I8Lr781e7w4W8cvZ0qDD7nfMtAjffBWHDwztPnZWRAnz7w3nswYABMnQr+5xizf0MJWBsENwRD0OoC2AkRkQKiwpOIiMhl2LYNFiwAW6Nh1Ak0NJ/h7EQiV7ab18Hd9fYQd3d1buwSyVtvQdmyEBDgGJy8eHEoUwbatoVRoyAu7vzrio+fyxEaMGT5FzzY+EGuK3fdeduuphET6U48gSemBa+E0EZw33r4srE7735+jGrV4M47HYM+X3MNjB0L6el537+0srC6F8QvgCM7YO2RtawqBctLw6wq8F0D+GDRBzzZHnreCcMTwD0a9u59FWPyMkJQwUhKWk5aBSiZ2wvNbw/UrDmO5Fp5H7voapWTk05k5EcEBt5EYGDL87bziocSf0FUO8jOHWg8Ph7at4cffoB333X8IcPjjEJeamYqr98IzQeAjwVdo0+OCSYiciUooKESRUREigbHoOKGmBpf8ED5svjtiXR2JJErWvAy6Hc3bEgPZ2NgE37uv42EqCASEx29npKSICHBMf7NAw/Aww87bk3q3h1uuw2CczsQHT8eSXLqNt7ZXIZw33A+uOWDc25v0yZ4jV+Zwu0AuJPFze2hGwNo9c8UMjvHU/pIb3IWvM6rCeE0awZffgm7dsE330C/fvDkk9C3L9x9NzRoAF7nGRvdWDDqCXh6NeQAPAyMaAQDz2j410v4N4SQNJhYB1L/htvDFhIfP5fg4LaXe4j/k6iob7GlQ9i8k9PCwu6gwhjYdx/47oZyk5wSzekOH/6GzMwoatWaeNG2pX+DqA6O4lPOfujQwXEtjR8PvXuf3tYYw8TNE3lu7nMcbA3dd8KdfaDW6ALaERGRAqLCk4iIyH+UluYYVLx8sxVE+h+jd/33gZecHUvkilZ8C/ikwHtNGnLXn38wPuU+fuv/21kDKRsDa9fCxImOx83fd59jenAwlCsH4eF2DtiHsM22n+du7cah3YF4Vwbv3OV3U4k3eIMf6oE/N/EWr3ETfzOV25i86wUGMhLb2q8J7nqMmJSSlAhYw9G7b2XoR6/TvEwzwFFwWrDAUYAaNgyGDHH0VqlfH5o1g6ZNoWVLqJz7xLyld8Erx6FmKrw+A2wG3H79Dbcut+NmIOA4lEyBElEp+Hr5YYCBnWFoYwiLD8V/76sEBbUp9EGlc3JSOXZsAuHzz+5pU34cpFaEPQ9C8Grw212o0QBIqO94lf8eCnu4bWNZHBoPATEQeGNrx4UJbA+BjSXg+gMQcUp7/52O2xX/qt+IF1sY0tMtZs+GVq1ziEqJ5mjKUY6mHuVI8hFGrx3NwgMLaRDRgB8/P0j5FrDHC0I0vpOIXGEsZ3bZdYYmTZqYVav0BA4REbl8X3/t6G3hN/AWmtb/m1kDjuHpFXZ6I2McTyM607mmX840Zy+vTHmfBueffqYimmnLqxDfvgRLrWd5bu5zjOkyhn4N+p07T+4qVq6EefPgwAHYvx/Wb9nDwUOhkFn8tOhlzAHKcYDlNMeDLB5/3ofnPwohhJP37Bm7Yb2tAZPpxlqP+lz7zBiuKzWF7hnh1Aitwfy+888q/sTEOAaEXrHCkWXlSkhOdmxz4EB4/qWdtJ9Ujag0WDsEKsfn7ZhkusFNfWFNJU+G1s+ka4vfCQ297bzHoiBERY1j27a+NBjkGN/pzJxZ/rDkVyjzM1QewfmvnQKQWNti/Sdg94ZK30C5nwr3d5vkaharR0D1jyBiJszdNZvPB7djZtWTbeqG16XtlI203Q3XRsLweh15ZeMkvIun0fDZwez1mM6h5EPYzemDmIUUC+G9m9+jf8P+2NzdWTEOPOOg4RO5Da7G90dXzASutU+umOlyl1ems9tdoSzLWm2MaXLWdBWeRERELp3dDjVrgt0rjl13hPDVddfwSJslV+cPQ8qUv5nApYo8rpgpqg1sexkaNlrBrZOfZvOxzWx5dAsRfhHkRVxaLDWHhuPt4cvC3oc4GunPzp2OW5p2Dv6e3VSmEWt4mfcoZQ5fNNPRG2Hr67A4oyuvLpvC7z1/57bqFy7+2O2wfbtjzJ4vvjDYvBPIuul5fjkymm6rTh7btFTDLN87mM6tVGAfgxhKoEk4ffu+0PTtsmRlHuG766rR9rqNWFYBD9V6yvbXfgaZ11ShWYtdp/coOuU4bfgA0spB815gFdLvF6mpm1n7Vx08ksBnP8Q1hwZNlxIQ0KJQtg+w5wGLHXfBnrfgywawNQxKpMAjK+GWPbCwHMwdeDMLd/5Fpjuw8kH44yuIWIdb787UrBRCvRL1qBRYiQi/CEr4lXD861uCsgFl8XZ39NGLa2yx4ROo+S6U+DN341fj+6MrZgLX2idXzHS5yyvT2e2uUOcrPOlWOxERkf/gjz9gxw5o+MjnBHnC7fWec3YkudJdxT+IXqrglQAW8XGzGNl5JPW/rs8Ts55g4p0XH0PHGEP/KT2IzbQzveOzlIvwp1yE47Y3AAbfe8l5wudBTCto0Xo6VYMq8MKfL9Cxakfcbef/UdpmcxSnP/sM3Oq8zidv3wLTRvIRAwjjOQ5Shl+5g5lhkMavBJBAIoF8xlM8/TY8gT/FSQagRCpM6TmF67+9hudXbaF25Z8oU7L3ebedn9JKQWIDqBhxPxYvn7dd2HzY/gIkV4Pi522Vf9LT97F+fVtsmVDvWXBPgdUjYcuWnjRpshYPj6ACz2CM4VgreHE5rG8DjQ7DuK7j6N74Xrxyn554bSS8sOhP0jwtnij+DKNi/0c9/xm82q4HAR1SaXnNQooVq3zRbR2+DdwTIXRBAe+UiEgB0FPtRERE/oNPP4WSpbPYEPoB7UoWo0TYrc6OJJL/LOv0VyHxTAB//6bExf1BjdAavN7qdSZtnsTU7VMvuuzotaOZsvMv+leAG6ufOWr3f2MBVT8Db89gHqxksS1mGx1/6MikzZM4nn38gssu2z+HLw6/Q/PnujLW6s0BytGaf+jNjyzhWvr1g7+4iRhCWUsDWrOA11+HCuzjXV4mGT8AGpVsxOjbxrAhEQbNfBS7PTtf9u1iotoDORARceGCXehisLIh+oaCz5SZeYwNG9pit6dR7zkodhQ8UqHWW5CZeYjt7wdjCuHaTU3dwHwfWG+HITNh1QjoU7/PiaLTqUZlPc6o2P/RnYmsTu7CbdNS8XJz59Chry66nYyMw8Rc73iioFtWAeyIiEgBU+FJRETkEq1d6xhLJuSG7/H0yOKJJn2x2TwuvqCI5FlISEeSkpaTmRnD89c9T93wujw842ESjyeed5mt0VsZNHMQzcOCuL9GXby88nZrXl54JkH16iNp5LuXZxreyJboLfT4pQcR/4tg4LSBLNy/kPSsdKJSotgWs41lB5cxc+dM7px0O4EeMKnHTO41P7Kd6nzDQBZxHQcpw1dfwU3Mw50cGrCeKdzOqlVwHYt5lXcpwVE6MoOhQ6GRZy8eb3A7v0UmMmZ5wfeyNDZH4Sl4JXh5lb5gW49kCFrtKDwV5FAe2dlJbNjQgYyMg9StOwO/fSfnFd8GFSu+T0wrONylwCKccPToJL7fD+UT4eGVnHdg82++gScYyu38ynjuwZ0cvGIhLOxOjhz5lpyc1Atu58iR0eAGJafl/z6IiBQGFZ5EREQu0aefgo9vDpvKPE2PMlCn4iPOjiRy1QkO7ggY4uNn4+HmwejbRhOVEsWLf754dmPL4riHxd2v18I3KZ3nq6QQGtIu3zOFht5GRERfbi3+Dxvvn8yfff6kS40u/LjxR1p91wqf93wo+UlJan5Vk2tGX0PHHztyLD2NEW0eoVyoY9yh4iQzkJFcxxJsnLtA07gxTOM2VtCU/oxmF1V44gmoUQOmPjGZgLnDeHH2eJIzkvN9H08V1xgywxw9bezGzoYS8FkLeOlmmFod4tLjTmsfNh+Ol4Tk5NUFkscYw8bNPUlJWU/t2r8QEHDtWW3Kln2a4GWw6xFIvvgdbJeV5Y9tY9mSDC8uBA/7uduNoR8PPQSdmM4EeuLByZ5qpUs/Rk5OIkePjj/vduz2bI4cGUHQSvA5nN97ISJSODS4uIiIyCU4dAgqVDCUuPEX0m/sxa831qF1i7UnG1yNA14qU/5mAtfaJ1fMBBh7DkuWRBAU1IZatX4A4JnZz/Dpsk/5p98/tCzfEoCM7AzGN/Pmf9fCtjD4YRWUegbq1ZtDcHCbs3Nd5j5lZSWwYkUNfH1r06DBXwCkZqYyZdsUDiQeIKhYEIHegQR4FefI3kFEeEP767dhs7lf1nHau8cwezbMmgXTZ+SQU2IVA/83jG96jj17nfnBslgwGP4oC/tmw7ymYUSnRQPgngPZbo5mdY5Cq/1wwz7ocBhW/wxlKj5P5cof5nukA1G/cssP3fArVo7fey+ibEDZcx67zECLVSPBLR2aPAhux8n3MdNSUjZy3ah6HIuGfR9y8va6U87dD/SiD9/Tpq2N3+d4403G6VHtdlavbowxWTRpsoEzn5QIEBMzjU2bbqP26xC28IyZV+P7oytmAtfaJ1fMdLnLK9PZ7a5Q5xtcXD2eRERELsGXXzqeVnWo5gv0KZdN5TL9nR1J5KpkWTaCgzsQFzcLYxy/1b9141tUDKzIgGkDiEqJ4oNFH1BhSAUGdAHvbJg8EZqVA8vyIiDg+gLJ5eERSLlyL5CQ8DcJCf8A4OvlR+/69/BSq5d5qOnD9KzTkyaBGVTy3E3j6m86ik6XqWJFeOhhiym/W/xs7sCKasiIZx9m2a6tl73uc4ksA3d4wkcHYVFZaF+lPd/9BpGfQvL78M+38M6N71AqGcbVh+7docb9MGM5REZNyPfb7ez2bB6Z3p9dKbAzMY4mI5uw6MCic7b1TIQaH0F6OTjWOl9jnDB94//YkAjPL+GsMZ32U46XeZd7GccNzGfKFM4qOgFYlkXp0o+TmrqJhIT559zO4cNf4+lZkpAl+b8PIiKFRYUnERGRPEpJga+/NvjVm0v58vF0LuVBiRJ3OzuWyFUrJKQj2dlxJCUtB8DX05cRnUewI3YHpT8tzUt/vUTd8LrMGQdrvoE7tkJcEwgMbIWbW7ECy1Wq1EN4ekawb98b55xvjGH//rcoVqwqYWE98n37t+dM5ZPr7oIjjWnbLovExHwu8hg7fXpBcjb89Tsc/BTG3T6OvuuhTJKjyNfyALzS6hVmj4f4D2HW91AlDj7OhtsXHOCNvx674Hhcl2rIPw8w41ACTze5ixUDVhDgFcCNY2/k6yac84bFoFXgGQ2xZ9+Nly8+Xf0LIV4ePJRb+8rGjal0plMnqMhePuBF7uBXptGZYhe4FMPDe+LhEc6WLT2Ii5tz2rz09L3Exc2kZMkHsJ1jwHIRkSuFCk8iIiJ5NHYsJCRYJDUeTP8KOUQsyMLDM7TQn/glUlQEBbXFZvPmwIEPT/SguaXSLbze6nXuqXcPawauYU6fObTZ4xjYOSME0ipCUNA5brHLR25uxShX7kUSEuaRkHD28+1jY6eTkrKO8uVfyZfeTufy+KqpdHm4O8n7atKkdQxJSfm37qHLPmOBDzxnwU1rzz9o9r/c7dBuN8z/DuZNgIq2EN4alkjYtX/Q7aHNbN58eXnWHV7BSwu/o2loAB+0/5GaYTVZ8cAK2lZuy8O3woOdIcPt9GUsIHQJxDWFnHx+9sPfO39kZWwaj9S/lcPZlRjMG1RkL12Yytq18ArvspeK/Ex3fEm74Lrc3IrRoME8PDzC2bChPXv2vHLiiYVHjowELEqWHJC/OyAiUsg0xpOIiEge5ORA9Rp2IrPWUueFu/lfjZ3UexlClp3S6Godd0CZ8jcTuNY+uWKmU3IdOPA/9ux5jpo1fzx/D8Pc5aPawbYXoUmTdfj51b9g28vJBJCTk87y5ZUpVqwaDRudLD4ZYM2qJmRlxdGs2bbTn3iZz8dp5wNwY+btHPp+Is2aWcye6U5g4NmbuJhNm2DMGAgIgGIl9/Ly+ttpUnkr03/MJOTfH5svkmkHVZnKbUzlNhbbrsNud8PdN5HsNH8wNmrVgh49HLfkVakCkZGwa9fJV3Iy3HortG8Pnp4nN5GSmUKDYRWJS4thWb9pVCt164l5OfYcBrdx591W0OwgfDcFakafzBTbFDZ+BHVfgJDl+fc7T8uhjVg9rzH1jw5l2dJiWNhpw1we5Bs6Z/6Kh+d/uZ7S2LXrCY4cGUVAwPXUqDGWNWuuoXjxFtSt+3vReX90xUzgWvvkipkud3llOrvdFep8YzwVzJ9gRERErjIzZ8LuXTa480Meqx6Op2cSQSuOOjuWyFWvbNmniImZzM6djxEUdBOeniXO2zauMXjEga9v3QLP9W+vp127niC+PgStz83QDJKTV1G9+qjTi04FoNxkGDx2Gg8ev5uVP0+kYkV45BEYNAhKnP8wnbB8Obz/Pvz+u6PYk5kJUBFYxworhxZmDy1Yxm1MpV0SFD9j+aNH4SeeYBz3spZGANRnHYMGbaRatYF0uP1D2o15gwPLmuB97C3eeMOXwYPBzc1RzP+Xt7dj+yNHQlAQ3HUX9O4N111neGBqX/YmxjCqVavTik4AbjY33vkbGh6BgZ2hwUPw8vw3edHNMe5S0DpwS3PcbhdyGcf5X9u3w5MvxbJo2mLILkZ8dXiPl7iH8ZTloKPRfzzlbm4+VK8+ksDAG9mx40FWrKiJMZmUKvVQPiQXEXEu3WonIiKSB0O/zMTyP0K7TklUcltOREQfbOd5fLaI5B/LcqN69W/JyUllx45Hz9vOWBDfGIJWOwYmLwwlSw7E07Mk++5z9HQywL6+4OVVnhIl+hT49r3ioFXVfnS9ZQo80ILG18Xz/vtQoYKjALVnz+ntjXGMVffXX3DLLdCiBfzzD7zxBhw5Avf//Bg82IjeT93N49XepT7rmUkHuvMzoaHQltl8wWP8yN10YjqlS8NTfI4bOXzOE+ynHOtoyEcflaNWrbXkpM7iz0fGE9x6Akfvqs7yLYcZMgSeew5GjYL58+HgQUhNhZgYmDEDOnSA8eOhdWsIK53KhC8a0M23Ij2ajz7vcei2FbZ+5fj3jQVv0OhBWFIWbFmOsZ5iruWyBjs/fBgefBBq14a5M4vh0fhbJv76PVu3wkt8cLLolA9KlOhF48ar8fWthY9PbYKD2+bbukVEnMYYU6RejRs3NiIiIpdizx5jsHIMrd40s9c9a+bNw6SkbDLG8XvcyZcxeZt2KW0La53KVHiZXG2fXDHTqbly7dv3vpk3D3P06KSz5hkwyZUx8+ZhjrQrvEzGGBMZOdTMm4eJa4iJbezIcOjQ1+dsWxCZUlO3mWlzMWEf+pl6w+uZDZszzIABxnh6GmOzGVO7tjHlyxsTGOj4+t9FIyKM+fhjY5KSHKuevGWy4Q1M/59qmX/+8TdZxRwNs7GZhVxnnnvOmBpsObF8GQ6YF180ZjM1z5l1/fr2ZunSCsZut5t1R9YZ//f8Td1hdU1CesKFj4kxJiXFmPeH7TO2qjMNVo6xrBzTvr0xv9LVZOJ+wWMyY8cMU/YpjDUY82hHzK4OjnOSlLT63OfkAhISjHn5ZWOKFTPGw8OYnv2jDM+GmX5jMMePH7zsc3chdrvd5ORknP845cf3fUF9j7jSOvMjk6vtkytmulrPfWFmukoAq4w5uw6jW+1EREQuYuiwdMCTjj0OE5S5BJt/U3x9azs7lkiRUrbss7m33D1CYOANeHqGAWCMIaER7MkdfzlodeHmKlnyAQ4sHcS+foABr2MQ0apfoW3fx6c6FZbAMxVTeHHPBiY95sXIvw1vvglffAFbtzrGbvr3Vbw4lCkDt9/uuMUNYH3UegZMHUDjiPr0LLGZiIhHcU8fAoAbdq5nMdd/BB99XIudVCGaMJqzHLf3c+CDrefMFRbWne3b7yc5eTX1I5owuftkOv7YkW6TuvFH7z/wdPM853IAOe5JfJvdhpD+B3i/bCX2bV3FmDE+3MFvRHCExqwmG3eyboZs5pOFB+Ec4wU+pGPVjmz+Cl69Cb5oDnPj4blEKB8zFX//RqdtxxhYtMjx4IiNG8Fud0yz2x2v/fshIQF69YK334ZHlvQl4EAc99VshpdX6Xw5f+djWRaWdf5jJCJyJSmwfsiWZZW1LGueZVlbLMvabFnWE7nTgy3LmmtZ1s7cf4Nyp1uWZQ21LGuXZVkbLMtqdMq6+ua232lZVt9Tpje2LGtj7jJDLUuPFBIRkfyVmQkjR+dAtem81v4mUlM3EhHRz9mxRIocm82d6tXHkJ2dyM6djwMQHz+Pdetas/4TyAyBGu+BV0zh5nJz86b8j5BYDxLrQ7mfwGbzKtQM5SZA87LQLRnebwkrD62kVCnH+E1TpjgKK0OHOoonzz0Hd999sui0cP9CWn/XGl9PXz65pjXuVjalS5//lsaq7OJaluLGhe81Dg3tgmV5cOjQFwC0qdyGUZ1H8dfev+g7pS9ZOVnnXM4Yw8BpA9kTv5tXqmfQ5vp+vP22D/v2wTRupQXLOEJJ4gkiIwMsDL6ksoRruZal3Hor7MpswJBZ8NdYSHGHR9bBsFWjcfwx3lFQevttqFoVWrWCiRMdRbnwcIiIcBTmKlSA226DNWvghx8g0raA2btn06tsDpU+XqEnmYqIXIKC7PGUDTxjjFljWZY/sNqyrLlAP+AvY8wHlmW9CLwIvAB0AKrmvpoDw4HmlmUFA4OBJoDJXc9UY0x8bpsHgOXAH0B7YGYB7pOIiBQx309MITXej2sf2kBITgyHLU/Cw3s6O5ZIkeTnV4fy5V9n377XWLVqOykp6/D0LEXVIVByhmNMH2eImAH7ewGW4/+FrfhWCJ8L/drC0r+h75S+rB64mmIexS643PQd07nr57soH1CeWb2nc2jL9fgHd8THp+plZ/LwCKZs2Wc5cOB9wsN7EhLSgb4N+nI09Sgv/PkC8enx/NL9F/zOWO7rVV8zcfNEHqriz7WlK1CmzJMAuLvDrczgVk45wIsMWDcCkIIvX/IYHy35gEaspRu/8NK+9xn7lcWTt1ThfwuqMOGLuYSn38iaVY4RwG+6CQYPhjvuAF/f8++LMYaX/36ZEna4PRRKzLnswyMiUqQUWI8nY8wRY8ya3P8nA1uB0kAXYGxus7FA19z/dwHG5d4auAwItCyrJNAOmGuMicstNs0F2ufOK26MWZZ7L+G4U9YlIiKSL97+JBoC9zD0kQ4cPfoDoaFd8fAIdnYskSKrXLkX8PdvRmZmFFWqDKF5892UnuK8ohOAWxbUex7qveD4P+DoEXPqq4BV/wQi9sPT9WBrzFZem/faBduPWz+OrhO6Uie8DgvvW0ixzOVkZR2ldOnH8y1ThQqD8fGpxfbtD5CdnQjA89c9z8jOI/lzz5/c8N0NHD2l4LOmJDw5+0lalSzDXaVSqVFjDDZb3m438yOVF/mQvXthMG8wh7Y0YTVtMlaxecYEmPcOB9fXYlPcah545iB79zoGWe/T58JFJ4AZO2ewJHIJ91SCsn+DR/J/PSIiIkVToTzyw7KsCkBDHD2TShhjjuTOigL+fdhraSDylMUO5k670PSD55guIiKSL5avS2L/+orU7rCYkOxZZGfHUrJkf2fHEinSbDYPGjZcRIsWkZQpMwg3N29nRwLAbx/47bloswLjlgF1XoMWPnB72UA+Xfopiw4sOmfbz5Z+Rt8pfbmhwg38fe/fhPmGcfDgFxQrVjVfn6Jms3lRo8Z3ZGYeYdeuZ05MH9BoAFN6TmFL9Bau6w+7giHRC+66C0KLFefpigepUP55/P0bX/I2AwLgDd5kLxUZyQB+oysbqcP8+fX5aWp3Sg/qxeTw+hz325an9dmNnVf+foUKxUNpXxZK/3bJkUREirwCLzxZluUHTAaeNMYknTovt6eSKYQMAy3LWmVZ1qro6OiC3pyIiFwlnnh7K9gyeW+QJ/v2vUF4eC+Cgto4O5ZIkWezeWCz6Rk5Z/I+CrXehAHlkijlU4x+U/qRmplKVEoUEzdN5JEZj1B7WG2envM03Wp2Y0avGfh7+RMbO4vk5OWULv04lpW/vx4UL96UcuWeJypqNHFxs09Mv7XarczrO48Eb7i2P9zRAw4EwOBabkQUr0758oMva7shxDGA0XTld+qwmTJl2lKSVczq9RvuNnc6/NCBqJSoi65n4qaJbDi6gfsq2AjZBP67LyuWiEiRVKCFJ8uyPHAUnX4wxvyaO/lo7m1y5P57LHf6IaDsKYuXyZ12oellzjH9LMaYEcaYJsaYJmFhYZe3UyIiUiQcik1g+R81KN1iCeG8iLd3WapVG4aeYyEirixoHdSr8RnPVk1jd/xuyn9enpKflKTn5J58v+F7ygWUY0j7IUy8cyJe7l7k5KSxc+cjFCtWnVKlBuZfkFNuMyxf44PcW+4GnLjlDqB5meYsGQ1+mfB3JXjmOFQrdowaNUbj5l4sX29VDAm5DWOyCDQ7mX73dI6lHuPWH28lJTPlvMtk5WTx2rzXqB1SgesDj6m3k4jIf1SQT7WzgNHAVmPMp6fMmgr8+2S6vsDvp0y/N/fpdi2AxNxb8mYDbS3LCsp9Al5bYHbuvCTLslrkbuveU9YlIiLy3+T+kvPotU/D8QAe7PUHx49HUrPmj7i7Bzg7nUjRUsjjJF0tSpd+nHbV+zKwIjQpUYmP23zMigEriH8hnpm9ZzKo+SDcbG4A7N//LseP76Vata8L7Gl8bllQo8YYMjIOs3v3s6fNqxYLy0bB6OXQroMje0DAdfmeoXjxa3B3DyE2dipNSzdl0p2TWBu1lu4/dyfbnn3OZcasG8Pu+N08WDUIb69ShC7M91i6xkWkSCjIPsrXAX2AjZZlrcud9jLwATDJsqz+wH6ge+68P4COwC4gDbgPwBgTZ1nW28DK3HZvGWPicv//CPAdUAzH0+z0RDsREblsiV4wPelhfIM3c32tj6lQ4S0CAq5xdiwRkTyxLItq1b5mYNoWUlM3Ua/WpwQGNj2rXWrqFiIjP6ZEib4EBd1QoJmKF29G2bLPERn5IcWLX4ePTw3ADnXA0wa17wZzBCq1eq9Atm+zuRMS0onY2OnY7dl0qtaJ4Z2G8+D0B3l4+sOM6DziRI/WbHs2kYmRvLXgLVqUakgdz7WUKvUWtpzXCyTbWc4sQJkCH5lERKRAFVjhyRizCDhf2f7mc7Q3wKPnWde3wLfnmL4KqHMZMUVERM7ySo3G5KxvSud+jxMY2JLy5V92diQRkUvi5uZN3brTWbu2FRs3dqJBg3n4+zc6Md8YOzt2PISbmz+VK39cKJkqVHiD2NipbN9+38mJX5z8b/1nwK3XRR4xdxlCQjpz9Og4kpKWEBjYioGNB3Ig8QDvLnyXyKRIMnIy2Jewj8jESHJMDgAfNmuOLWcTJUs+ABRS4UlE5CqjURlFREROkWPBd+Z+bB5p9Gn3PTVrbsCy3JwdS0Tkknl6hlO//lzWrr2eDRva0aDBQnx9awAQFfUdiYkLqV59FJ6ehTMGqpubNw0bLiEpaQlgc/Qwatsey4BnNPhGXnQVlyU4uB2W5cnRoz8QGNgKgLdvfJvkjGR+2/Yb5QLKcV3Z66hQtwLlA8pTL7w6mftuJSTsLry8Igo2nIjIVcwyRazrZpMmTcyqVaucHUNERFyQMXbGdvbivr+PUKfhXP7y7EX4PHPucTfMOabnddrlLl8Q61SmwssErrVPrpjpYlnPVJiZ/uv2nXic0tJ2snZtS2w2Dxo2XITN5sOKFTXw9a1FgwYLzv0kO2eeu8vZ/kXO3Y4dj3DkyEiaNdtGsWKVz50p16FDw9i581EaNlxKQECLK+d7RJnyNxO41j65YqbLXV6Zzm53hbIsa7UxpsmZ0wv0qXYiIiJXArs9k6iocaxcWY/3SreB9FCezPqJ8PnOTiYiLudKGQz6lIw+vtWoX38OOTkprF9/Czt2PEROThLVqn197qLTVax8+dewLA/27r3wbXPGGA4d+hI/v8YUL968kNKJiFyditYnjYiIyBmioyezfHlltm3ry8G0THYu7YW3exx9Vs5ydjQROZcrpfDjYvz86lH3wQQy4nYRE/MrZcdn4+tb29mxCp2XV0nKlHmCY8d+IiVl/XnbxcZOIy1tK2XKPI6l60xE5LKo8CQiIkWWMTls3/4gbm4B1K07g/mJ3WBbV7pZv+BJlrPjiYjkq4AtUPcliJgB5b93dhrnKVv2edzdA9iz55Vzzk9P38e2bffj41ObsLAehZxOROTqo8KTiIgUWYmJS8nOjqVChdfxKX4j306Mhiw/BmT96OxoIiIFImg91PgfuGU4O4nzeHgEUa7ci8TFzSAhYeFp83Jy0tm8uRvGZFGnzm+4uXk7KaWIyNVDhScRESmyYmOnYlkeBAe3Y9LmSaSuvo1Qt4O0ZOHFFxYRkStW6dKP4+lZkj17XuLfhy0ZY9ix42FSUtZQs+YP+PhUdXJKEZGrgwpPIiJSZMUs/pjAFVm4ewQy5JOnYVcH7s2ZgBt2Z0cTESk8RXDcLDc3HypUGExS0mJiY2cAcPjwcI4eHUv58oMJDb3VyQlFRK4eKjyJiEjRcMYvVmlp20kvByFLYFUpWJvQDewe9Ea32YmIFAUREfdTrFgV9u59iYSEheza9QTBwR2pUPnNIleIExEpSCo8iYhIkRQTMw2A0KUwvAnYNvSiarUcGrLWyclERKQw2GweVKjwNqmpm9iwoS1eXuWpWXM8lnF2MhGRq4sKTyIiUiTFxk7FdxekJ8IP5UtjP9CKe3q7ob9ti4gUHeHh3fHzawjYqFPnNzw8gpwdSUTkquPu7AAiIiKFLas4JCYupvwS+K4BZGzvAdi4+25gsJPDiYhIwTjztjljsCwb9erNJjs7Hh+fas7JJSJylVOPJxERKXJimwPYCVoCw5qC7+peNGUFVfUAIxGRIsfTM0xFJxGRAqTCk4iIFDmx14KnZ0kWALvs1UmNbUwvDSouIlKwXPHpea6YSUTkKqPCk4iIFCl2D4hrBiEhnfnsGii+6m4s7PRgorOjiYiIiIhcdVR4EhGRIiWhAeT4wCF7LRaU8cC29j5u4m9KEuXsaCIiIiIiVx0NLi4iIkVKzLVgS4dRW5bjtfpeEjLL8QwPOjuWiIiIiMhVSYUnEREpMgyO8Z2yVsIE+6/4zd9MXVbSnlnOjiYiIiIiclXSrXYiIlJkpFSBjHD4/SDYN/QkMb0yr/IOGk5WRERERKRgqPAkIiJFRuy1kJ4F3wfZ8F32LvVYz21MdXYsEREREZGrlm61ExGRIiPmWvhnPSTsvguOlOY1nlBvJxERERGRAqQeTyIiUiRkhEJSNZgQZ1Hs71epVctwB786O5aIiIiIyFVNhScRESkSYlvA8jjYt7sr6fF1eOUVCxvG2bFERERERK5qKjyJiEiREHsN/LILPOa/ShV20KOHsxOJiIiIiFz9VHgSEZGrXk5OGqtqwpr1ncg61ohXeA83N2enEhERERG5+qnwJCIiV72EhHn8Fg3WgtcoZ+2lNz84O5KIiIiISJGgp9qJiMhVb3/Ur8xe3AZzuDmvMBAPsp0dSURERESkSFDhSURErmrGGCZs+pXM+VMJd4ukb85YZ0cSERERESkyVHgSEZGrWnLyOn6YXx8OtORVHsOLTGdHEhEREREpMjTGk4iIXNX+3Dacw7Nfo7jHEQYw2tlxRERERESKFPV4EhGRq9rHvx6CvTfzotvTFOO4s+OIiIiIiBQp6vEkIiJXrSMJW1k++XG8/OMZlPONs+OIiIiIiBQ5KjyJiMhV69Wx32N2taf/QwfxJc3ZcUREREREihwVnkRE5KpkN3Z+GnEdbj5xvP9qHWfHEREREREpklR4EhGRq9LX0xaTvqUTN3ebSvHilrPjiIiIiIgUSSo8iYjIVentd7LBK5HPXwtzdhQRERERkSJLhScREbnqzFtxlKiVN1K7zVdUq3STs+OIiIiIiBRZKjyJiMhV5/l3IsE9nVcfXYGbWzFnxxERERERKbJUeBIRkatKfIKd1bNrEtLoJ1rV6+jsOCIiIiIiRZoKTyIiclUZPGQXJtOX27oMJySkk7PjiIiIiIgUaSo8iYjIVcMYGDfKB1vpldx/cxZeXqWdHUlEREREpEhT4UlERK4af/yZTOLBMtS7ZRilw29zdhwRERERkSLP3dkBRERE8svgj46Cdzb33zqRkJAFzo4jIiIiIlLkqceTiIhcFaKiYM3fFQhs/iMNI/zx92/s7EgiIiIiIkWeCk8iInJVeOfzKIzdnc6dvyY09FYsSx9xIiIiIiLOpp/KRUTkipedDWNHe2FVnku3epsICens7EgiIiIiIoIKTyIichWYMjWLlJggGrSfQqCnJ0FBtzg7koiIiIiIoMHFRUTkKvDOJ7Hgn809baYTGHgj7u5+zo4kIiIiIiKox5OIiFzhdu6E9UsiKH7dj9QvfoDQUN1mJyIiIiLiKlR4EhGRK9r/hiaDLYvu3dfgZkFw48fAsk6+RERERETEaVR4EhGRK1ZqKoz7zh1q/kqXavvx9a1DsaPOTiUiIiIiIv9S4UlERK5Y339vOJ5SjHqd5+GfvYqQkFudHUlERERERE6hwpOIiFyRjIH/fZ4BJVfT65ZsjMkmJETjO4mIiIiIuBIVnkRE5Ir099+we7s3VosvuTY4AXf3EIoXb+7sWCIiIiIicgp3ZwcQERH5L4YMMbj5xdGy4xGs1JWEhHTCstycHUtERERERE6hHk8iInLF2b0bpk+HnEbD6FqjHtnZcbrNTkRERETEBanwJCIiV5yvvgLLZsfWdCTXBqVjWe4EB7d1diwRERERETmDbrUTEZErSkoKjB5t8Kn/By3qVeJ43FhCQm7F3T3A2dFEREREROQMKjyJiMgVZdw4SEqyoOF7tA6xsNszqFTpI2fHEhERERGRcyiwW+0sy/rWsqxjlmVtOmVasGVZcy3L2pn7b1DudMuyrKGWZe2yLGuDZVmNTlmmb277nZZl9T1lemPLsjbmLjPUsiyroPZFRERcg90OX3wBEdUicSu3krqeSylb9ml8fKo6O5qIiIiIiJxDQY7x9B3Q/oxpLwJ/GWOqAn/lfg3QAaia+xoIDAdHoQoYDDQHmgGD/y1W5bZ54JTlztyWiIhcZf78E7Ztg+xmn9Is1JewBChX+wOwLMdLRERERERcSoEVnowx/wBxZ0zuAozN/f9YoOsp08cZh2VAoGVZJYF2wFxjTJwxJh6YC7TPnVfcGLPMGGOAcaesS0RErlJDh0JwWBYxFYbRKjiJyl+D+3FnpxIRERERkfMp7KfalTDGHMn9fxRQIvf/pYHIU9odzJ12oekHzzH9nCzLGmhZ1irLslZFR0df3h6IiIhT7LSqMmMGVAt8F3ePTDpUbEH4385OJSIiIiIiF1LYhacTcnsqmULa1ghjTBNjTJOwsLDC2KSIiOSzr3gUDzLZ2+kbmgRC49pfo5vrRERERERcW2EXno7m3iZH7r/HcqcfAsqe0q5M7rQLTS9zjukiInIVSk6Gb7mfViGTOBoYxe0Hwc+vvrNjiYiIiIjIRRR24Wkq8O+T6foCv58y/d7cp9u1ABJzb8mbDbS1LCsod1DxtsDs3HlJlmW1yH2a3b2nrEtERK4yY8dCMsVx7z4UDwvu/9bZiUREREREJC/cC2rFlmX9BNwAhFqWdRDH0+k+ACZZltUf2A90z23+B9AR2AWkAfcBGGPiLMt6G1iZ2+4tY8y/A5Y/guPJecWAmbkvERG5ytjt8MUX0KD4MlaXXcmNxyA01tmpREREREQkLwqs8GSMufs8s24+R1sDPHqe9XwLnPW3bWPMKqDO5WQUERHXN2cO7NgBN943lHWZ8Nw0ZycSEREREZG8ctrg4iIiInkxdCgEhyawuOwvdN0Pt+x2diIREREREckrFZ5ERMRl7dgBM2eCX/NPcbOyGPKrsxOJiIiIiMilUOFJRERc1hdfGNzcszhQ8xteWgTlEp2dSERERERELoUKTyIi4pKSkmDMmCy86v1ExVLw/HxnJxIRERERkUulwpOIiLik0aPTSE31JK3xF3zZ6Vu8cpydSERERERELlWBPdVORETkv7Lb4ZPPkrCVXUf7Vr50rNbJ2ZFEREREROQ/UI8nERFxOePG7edQZARW86/4otO3zo4jIiIiIiL/kQpPIiLiUpKT4clnfaDkap5/oAyVgio5O5KIiIiIiPxHKjyJiIhLebzSxyTGhlGhzSO81ukjsCxnRxIRERERkf9IhScREXEZq9alMzbuSTwaj2T2Xysolu3sRCIiIiIicjlUeBIREZdgtxs69t4Fnsl8Uu8lqh1ydiIREREREblcKjyJiIhLuO+dOURvqct1d77EQ5NjnR1HRERERETygQpPIiLidLM3L2Xcx/XwLbeS0Z6j8EhydiIREREREckPKjyJiIhTHUk+wh2PbIDUErzzwtNU/MXu7EgiIiIiIpJPVHgSERGn6jvif6Qt6s8N7UbSud21eKq3k4iIiIjIVUOFJxERcZqlB1Yw9/M78fZN5ulH3qFs2WecHUlERERERPKRCk8iIuIUxhjufXk5HLyGxx59nJo1e+DpGe7sWCIiIiIiko/cnR1ARESKpnEL/mHXpPup1Gget7b/lXLl9jo7koiIiIiI5DP1eBIRkUKXY7fz2COeWDY7bz3bl5o1x+DpWcLZsUREREREJJ+p8CQiIoXu4XeXkbL1Gtr3foGWUyIJL9ETLMvZsUREREREJJ+p8CQiIoVq/8EMRr1fC++KC/nE52vKTnJ2IhERERERKSgqPImISKHq2GsjJtObl18fRo1hBvVzEhERERG5eqnwJCIihebrb9exZWETynb6gJf7jMayOzuRiIiIiIgUJBWeRESkUERHx/P00xEQsZafPm2Fm5uPsyOJiIiIiEgBU+FJREQKRd8HV5CeFMbNj3/LdZVvcnYcEREREREpBCo8iYhIgZs2fTEzf2uH53VfMn7QK86OIyIiIiIihUSFJxERyX+WdeKV4uvFfQ+FQMA+Pk59hQj/ko55IiIiIiJy1VPhSURECtSTjZ4n9lANal33CI+vTXV2HBERERERKUQqPImISIFZVqca3y57FVudify2fCbq5yQiIiIiUrSo8CQiIgUiywd6Z36DcU/jmTcjqRbr7EQiIiIiIlLYVHgSEZEC8fb197Fnxw2UvP453ukyyNlxRERERETECVR4EhGRfLelbgQfLPoflF/A5C3f4unm6exIIiIiIiLiBCo8iYhIvsrMTOYO+3dkZXrTu8JArjlsnB1JREREREScRIUnERHJV0+/8hvbN7ejZKun+WbJDmfHERERERERJ1LhSURE8s3f//zDsM+74151GgvXfINvlrMTiYiIiIiIM6nwJCIi+SIlJZkuvYMwXol8R38qJzg7kYiIiIiIOJsKTyIiki/a3DudlIN16f78JHrvjHZ2HBERERERcQEqPImIyGV7b/SvLPutB6VvGM9Prz3q7DgiIiIiIuIiVHgSEZHLsmHPHl59uhnuYTtZNulmbJY+WkRERERExEG/HYiIyH8WG5/FtbfEY1LDGTFiB2XCSjo7koiIiIiIuBAVnkRE5D9JSYF6LfeSuq8+fV9+i/u6dnZ2JBERERERcTHuzg4gIiJXnrQ0uObmGA5vqUSTgfcy4tWhzo4kIiIiIiIuSD2eRETkkqSnQ9uO6WxaGURErz5MfLklnp6hzo4lIiIiIiIuSIUnERHJs+PHoUtXO4v/8cLz9vv5uukEKlZ4BCzL8RIRERERETmFCk8iIpInSUlw220wd44NOg/g5Z7jufkLsIyzk4mIiIiIiKtS4UlERC7qwAG4/nr4e54dutzH7Z3H0LvhE/jtdnYyERERERFxZSo8iYjIBa1eDc2bw5592bj3uY3aN05iUI2SVKjwhrOjiYiIiIiIi1PhSUREzmvqVGjVCtw8svEeeDNhtZfwVs00alX7HHf34s6OJyIiIiIiLk6FJxEROYsxMGQIdO0KNWpm4/PwjWSFrOadmklUiehEWNhdzo4oIiIiIiJXABWeRETkNNnZMGgQPPkk3NYlB9+Bt7Ivexlv186hVlhtatX6EUtPsBMRERERkTxwd3YAERFxHSkp0LMnzJgBzzxjONKiH79vns3rdQJpmp5AvY4bcI8JcDQ2epydiIiIiIhcmApPIiICwKFDcOutsHEjfPWVnf1VX+LHJeN5qGoYt4RnUu9e8IpxdkoREREREbmSqPAkIiKsXw+dOkFiouGNEasZvqopm6Lhdk/oERJNnTrz8N13o7NjioiIiIjIFUZjPImIFGGHDsGrr8L110O2yaT2iw/xWmRT0rzhExs83gJqfgRBQTc4O6qIiIiIiFyB1ONJRKSIMQaWLYOhQ+GXXww5OVCm2Roir7uNTPdknq9Vh1v8N+EJVPoKSvzt7MQiIiIiInKlUuFJRKQIMAZ27YJZs2Dc94ZVKy08fdPwvu57Uup/yLGwSO4pF0j3kskE+0RRajSUmqYxnURERERE5PKo8CQicpXJyUkjLW0H0dG7Wby4FP/8U53Zc/2I3O8JgFv4Dug4BKvRTzQt68k1AbFcE5JDiYDSlCnzEeHhd+N2fTEn74WIiIiIiFwNVHgSEbkC2e129sSuYf2hv9l0dCU7YreTFO1BzPZaxO5oQuyu64k/0BVj3MAzBSrMgo6zKV55Ni1K7KZFZWgRBkG+lQgL60tY2J34+zfFsixn75qIiIiIiFxFrvjCk2VZ7YEhgBswyhjzgZMjiYj8Z8ZAXBwcOmTYtT+dLbtj2bIrir2RaRw57E5CtD9pycXJtoMxoWDdBdyJleOFSS7tWIlHGpReBi3fJajkfK4PXEyzrrdQf/EfRJQB3CF0DoQOWYufX30Vm0REREREpMBc0YUny7LcgK+ANsBBYKVlWVONMVucm0xEijK73c7xzHQSklOITzrOsegsYuPtxMQaYmPtxCUYoqIzOBqTTVwcJCS4kZzoRWpcAMcTQjHZ3oAF+OS+yoJPNPgfxivgIAGBMRTPsRMQUZHAzfsJSgT/NDv12MD1LKJh6go8PG8mZz/YjGNNfD0DOpxRYPq2QSEfGRERERERKWqu6MIT0AzYZYzZA2BZ1gSgC1BkC092exaHDg09a/rUPWs5kpp42rRD26sSuanOadMM5owlz90TwpzazJy/t8TJ9V24R4WxX7zHxZnJLprrvI1Obuu8zc0Fv8zdlnWRFhfLY85Yx7lDXLjNxbZzyozc9Vwk0gUnmFPWc95FMOe8Jsx5vzhfO+usKWc2ysv5NsYiJ8eG3W4jJ8eGybGRk+N24mu73YY9O/ffHDfsdguT44bd7niZE9Md/xq7Gyb3X7vdHWO3gd3dMT3bC7K9HS+7L+B74XBeieAdDz5xeBSLwrvsOkrUO0xgyDHCPPZT2vMQleyHaZR4mNrDfqNi1U54HT1l+Y0GztVbycPxj1tevh9EREREREQKkGXy9Ju6a7Is606gvTFmQO7XfYDmxpjHzmg3EBiY+2V1YHuhBi1YoYCrPXdKmfLGFTOBa+ZSprxRprxRprxRprxRprxRprxRprxRprxRprxRprxRprxxxUyFqbwxJuzMiVd6j6c8McaMAEY4O0dBsCxrlTGmibNznEqZ8sYVM4Fr5lKmvFGmvFGmvFGmvFGmvFGmvFGmvFGmvFGmvFGmvFGmvHHFTK7A5uwAl+kQUPaUr8vkThMRERERERERESe70gtPK4GqlmVVtCzLE+gJTHVyJhERERERERER4Qq/1c4Yk21Z1mPAbMAN+NYYs9nJsQqbK95CqEx544qZwDVzKVPeKFPeKFPeKFPeKFPeKFPeKFPeKFPeKFPeKFPeKFPeuGImp7uiBxcXERERERERERHXdaXfaiciIiIiIiIiIi5KhScRERERERERESkQKjyJiIiIiIiIiEiBUOFJREREREREREQKxBX9VDuR87EsKwBoD5TOnXQImG2MSXBipnZA1zMy/W6MmaVMJ/K4A/2B24FSp2YCRhtjspyUywKacfpxWmGc+HQGVzt3ynRJmVzxenLFTK547moAXc7INNUYs9WJmVzu8w5cM5erXVMu/JnnUscpN5NLvUfp3OU5j6seJ1d8f3KpTC587lzqGs/N5HI/G7giPdXuCqRvuItmuRcYDMzJzQFQBmgDvGmMGeeETJ8D1YBxwMFTMt0L7DTGPKFMYFnWT0ACMPaMTH2BYGNMDydkagsMA3Zy+vVUBXjEGDPHCZk+x/XOnTLlLZMrXk+umOlzXO/cvQDcDUw4I1NPYIIx5gMnZHK5zztXzeWi15QrfuZ9jusdJ1d8j9K5y1smVzxOrvj+5IqZXPHcfY7rXeMu97OBq1Lh6Qqjb7g85dkOND/zLwSWZQUBy40x1QozT+62d5xru7l/wdthjKmqTOfPdLF5BZxpK9DBGLPvjOkVgT+MMTWdkOmKOXfKdNa2XfF6csVMrnjudgC1z/wrr2VZnsBmJ2Vyuc87V83lqteUC37mueJxumLeoy42zxmZdI2ftV1XfH9yxUyueO5c8hrHxX42cFUa4+nK09EY09EYM8EYsyj3NQHoBHR0Uqb+QFNjzAfGmPG5rw9wdInu74Q8FnCuiqo9d54zHLcsq+k5pjcFjhd2mFyumCnOsqy7LMs68d5kWZbNsqweQLyTMrlzsqB6qkOARyFn+ZcrnjtlyhtXvJ5cMZMrnjs7J283OFXJ3HnO4Iqfd+CauVzxmnLFzzxXPE6u+B6lc5c3rnicXPH9yRUzueK5c8Vr3BV/NnBJGuPpynPcsqymxpiVZ0x3hW+4/WdMd9Y33LvAGsuy5gCRudPK4eiu+rYT8gD0A4ZbluXPyR+eygKJufOUyaEn8CEwzLKsfz/UAoF5ufOc4VtgpWVZEzh5PZXNzTPaSZn64XrnTpnyxhWvJ1fM1A/XO3dPAn9ZlrWT0z9bqgCPOSmTK37egWvm6ofrXVOu+JnXD9c7Tq74HqVzlzeueJxc8f3JFTO54rnrh+td40/iej8buCTdaneFsSyrETAcONc33KPGmNVOyNQe+BLHvfdnfcM5Y+yp3K6p7Th7gD5nVegBsCwrglMyGWOinJkHXDMTgGVZIQDGmFgXyFILuI2zxzDb4rxUrnnulClPeVzuenLFTOCS587G2QMcrzTG5Dgxk6t+3rlqLpe6pv7lSp954HrHyVXfo0DnLq9c6Ti54vuTK2b6lyudO3C9a9wVfzZwRSo8XaH0DXdlsizL4xz3AIcaY2KU6cS2iwNhxpjdZ0yvZ4zZ4IxMrsrVzp0ySX7TuZP85mrXlKt+5rnacXJFOnd5zuOSx0kuzlXPnatd45I3GuPpyhVrjFmd+4oCxzecs8IYY+zGmGXGmMm5r2XOKjpZllXWsqwJlmUttCzrZcuyPE6ZN8VJmW60LOsgcMSyrDmWZVU4ZXahP43FhTN1B7YBky3L2nzGfdzfOSlTccuy3rcs63vLsu4+Y94wJ2VyxXOnTHnL5IrXkytmcsVzV8+yrGWWZUValjUi96/T/85b4aRMLvd556q5XPSacsXPPFc8Tq74HqVzl7dMrnicXPH9yRUzueK5c8Vr3OV+NnBVKjxdYfQNlyffAvOBx3GMM7XAyu0iCpR3Qh6Aj4B2xphQYAQw17KsFrnznDVooCtmehlobIxpANwHfG9Z1u1OzjQmd9uTgbsty5psWZZX7rwW51+sQLniuVOmvHHF68kVM7niuRsGvAHUBXYAiyzLqpw7z1kDHLvi5x24Zi5XvKZc8TPPFY+TK75H6dzljSseJ1d8f3LFTK547lzxGnfFnw1ckzFGryvoBazE8chGgDtxjKvUIvfrtU7KtAhoj2PAuWeBzUBlZ2UC1p3x9T3/ZgLWOOkYrT/j69rAdqCrMp2WYeMZX5cEVgODnJjpzOvpFWAxEKJzp0xXyfXkiplc8dydmenGfz+DXejcOf3zzlVzueg15Yqfea54nM68nlzhPUrn7so9TmdeT67w/uSKmVzx3LniNe5yPxu46ktPtbvyeBpjNgMYY36xLGsr8KtlWS9w7sdwFgZ/c3IA8f9ZlrUamGVZVh8nZfKwLMvbGHMcwBgz3rKsKGA24OuEPABZlmVFmNzbIo0xmy3LuhmYjuNDRZkcki3Lqmxy7yU3xhyxLOsGYAqODxdn8LIsy2aMsedmeteyrEPAP4CfkzK54rlTprxxxevJFTO54rnDsqwAY0xibqZ5lmV1w9ELI9hJkVzx885Vc7niNeWKn3mueJxc8T1K5y5vXPE4ueL7kytmcsVz54rXuCv+bOCSdKvdlSfLcgwsDji+4YCbcXTxq+qsUJZlBZySaR7QDfge53QPHQU0P3WCMeZP4C5gkxPyALwIlDh1gjHmINAa+MApiVwz08Oc0VXWGJOMo0fd/U5JBNOAm06dYIz5DngGyHRGIFzz3ClT3rji9eSKmVzx3H0I1Dx1gnEMrnoz8KtTErnm5x24Zi5XvKZc8TPPFY+TK75H6dzljSseJ1d8f3LFTK547lzxGnfFnw1ckp5qd4WxLOsWINoYs/6M6QHAY8aYd52QqRewxxiz7Izp5YDXjDEPFHKeu4E5xkUe+QlgWdYIYCbwZ+6bttO5aKbZwCxgpjFmm7PzAFiWdQ2wzLjQm6WLnjtlygMXvZ5cMZMrnruXcbw3rXV2ln+54ucduGYuF72mXPEzzxWPkyu+R+nc5YGLHidXfH9yxUyueO5c8Rp3uZ8NXJUKT1cYfcNdXO5th+1wDOj2F47jtcKZP7BYltUc6ICj+p2JYyD4WWcWEJXJisDxl5T2QDVgOY4PvT+NMalOyjQcx1+hduRmmfVvF19ncdFzp0x5y+SK15MrZnLFc9cjN1N9YD2Oz5Y5xph4J2Zyuc87V83loteUK37mueJxcsX3KJ27vGVyxePkiu9PrpjJFc+dK17jLvezgatS4ekKo2+4S8rlD9yC4w2zGbAVxxvmbGPMUSfmCgHa4jhm9YA1OM7hJGU6LZMNxw+a/17v6Tiuq4+clKdGbpZ2QAAwD8f1tNgYk+OMTLm5/t/emUfdVZV3+PllgAYDAWQQi4BiEQkyBYIWrSAiQSkiojhhpQzLqstUrYtJpAoiVarFtrQqaEURFXCIFjAoQhsVEshAEiPYUMYiIoKIwULCr3+8+yb3u9+X8MUmd+8b32etu3JybrLus87e5+yzp/ftLrsXAPOoX3atO1Wv4y3WpxadildTZVec9iballcAY4HvFacqqZMbbu9a9WrxGdVUm1ecmrr3Gn5GZdmNzqmp69Ti86lFp+LVVNkVpxbreFPvBq2RA08DTN5wa4ek3Yhr9Qrbh9b26SBpCjCtxjbJ1dGo01ZECtVLGnCZQGStOAx4ke19KyutpNGyS6c1uzRXn1p06tBS2QFI2gw4hHg+nVTbB5pu71r1aqpOQVttXoeWrlPjz6gsu1HQ2nVq8fnUohO0V3bQXh1v8d2gNjnwtAGRN9zK390IeKKzPFXSQcA+wE9sX9Uvjx4nEQECDVxOBMl8NTGT8WmXTC0VvA4lUpD+cTl1L/BN29+t5PMJ4ArbP6zx+6NF0pa2f1XZYVei3G60/WjX+WlelWWy307PAY4CngWsILZFXFJrW3BZIbrE9iOlk3IK5VkAnOOSgSQJJG0NbE+U3e3d9aqCS5NlJ2kqYNtzSodgGvBT21fW8ClOk4pH93P8u7Yfrui0hyO4atNIutb2y576X/YfSR+0/eEKv7sl8C7gf4CLgFOBPyXeV86pvZq9g6R32L6gtsdIZNkNcdrK9i+7/v4WYiXPQuDCylvJxtt+oufcEN8KTvvS9Q7lirGVJL0GuN72ryRtA5wH7E20w+9zBPXut1Or/aldi0d3OzzD9pIaPq2SA08DRt5wo3JZABxo+yFJ7wdeA1xJZDy4yfapFZwuALYBNgIeATYGZgCvAu63Pb2C0z8Qe7YvBjqNx/bAW4GfVXJ6ALgT2Br4KnCpK8cOk/QB22eX492INLLjAQHH2L6xgtO7gXcS9/1ewHTb3yrfzbW9TyWnw4n01q8ktq48TNx/77B9XQWnxcCetpcr4uMtI56bB5fzR1VwegHwWeJZeRVwcqczIGm27akVnHYDPgXsBOxAlN02wPVE3er7IE+jZXcmMfM8DriG2HbwA2KC5bs1Jn0kvRU4k9h2f285vX1x+pDti/vtVLxWALcDXyGe4z+p4dGNpN6BMBFt4K0Atvfou9QakHSX7R0q/O6VxKDAZkSmpoXA14g6taftV1dwem/vKWJQ5RwA25/ot9OayLIb4rTynUTSB4CXAF8m3hfusf2eCk4HEZm3/4jYLXKS7Tt6ffvs9FLg74n3pinAD4EtgCeAY23fXcHpJ7Z3K8dfBW4ALiO2Ar7Z9iEVnFrsT50MvJFo77r7U28AvmK7Vra99rCdnwH6ABcQL98zgC8RD4Bjicp+fiWnk4H5xIz0W8rnlM65Cj6Luo5vAiaU43HALZWu0cLy53jgQWCjBpxuW815EQNPNZzmlT93Ac4AFgM/JTpWu1Rymtt1/O/AYeV4KvCjWvUJmFiOdyr1fHr3NazkNLYcbwJcV453qOi0ZKRyLH+fX8lpFrE6ZXPgb0od37ly2d0APK8cTwW+UI5PBC7Pslv5uwuJLeSbEC+8m5XzEyo+x28FNh/h/Bare8b3yWsesDvwEeC/iPiPpwA7VXTqvDftCuxYnp13l+MdKzk9sprPb4DllZzmlz8F3DvSdxWcfkNMRn2wvA+cCTzUOc6ya7rs5nUdzwWeVo7HU96NKzjNASaX46OBnwEv7PXt93UCti7Hzwa+UY4PIWIp1XC6tev45p7vatWnJvtTwPgRzm9Epf5Uq58xJIPGS2wfDbyWmHl9s+0vEoM9B1VyOh7Yz/a5tr9UPucSHZjjK/g8Imn3cvxLYkYD4qFUq84vB3As6Z1j+/Hy9+VAlVVqwO8k7TfC+f2A3/VbpmAA27fZPsv2ZOD1RBlW28rSxTNdtms64pZNqOQxxmUblGOW7kDgsLJVUZWcIO4xiBmoiQC27yJeEGqwSNJx5XhBWcKOpF2IWcQabGr7atsP2z6P2BZxtaQXUup/BSbY7qz6mE0EW8b2Z4HJlZxaLLvltlfYXgYstf0IgO3HqPccFyPXmyep+yyw7UW2T7f9XGIQcxtglqQfVRI6ArgC+Ayx+uMOYlv+nbbvrOFErG74E9ub9Xw2Be6r5DRG0hbEdp+JknaClXFFN6rkNJl4f3sa8HHbHwIesv2hclyDh8myGw0TJO1dwoGMdcmGVt6HawWE38j24uJxORFy4guSjqReOzzW9gPl+C5iQBzb17BqN0m/uU7Sh8t29+vK1rvOirFaoQpa7E89CTxzhPPbUc+pScY99T9JGmPlDSdpyA0nqfYN1/viVuuGeztwSdly9wvgJkn/QXSmzqngA/BzSRNtP2p7WuekIlXp45Wc3gb8iyKDRmdp6LOIxuRtlZyGdZQccUJuIZbV1+A5kmYQbttL2qR0PKHegMr9kvayPR/A9qOSDgc+Rxk0qMCFwBxJNxJL6f8OVsYNqhUP6wTg/LK8/5fAjyXdTaxyOKGSE5ImuWxfs/0DSa8lOsRbVlJaKukM4FoiRtf84jmeeoP1LZbd4133/5TOyRJjqVb7+xFgrqSZxLWBWGV4CHBWJSfoeZaXAc3Zkt4H/FkdJbD9jXKtzpJ0PPU64x0uJjqYI2Wr+nKfXTp8lFhpDPCXwIWSDOwGVBnkKRMYr5P0auAaSZ+s4dFDlt3ouA/obIX8laTtbN9XBsOWV3J6QtIzbP8cwPZiSQcD3wF2ruR0k6SLiHb4COA6AEmbECtta/Au4HTKdmTgPZJ+C3yb2G1Tgxb7U38NfF/SzxjaDj+XuIZJIWM8DRiSrgJe556gr+WGm+E68UGmAf9ELFUddsO5QqBjSWOJzHq7EAOs91A52OpISHoasez4FxUdnkFXbK5OQ1zJZWJv3a5N2Xffzc1loGdb4Gjb/1zBaXti9cWwspJ0gCsFZ5c0mYgrscgVA2L2okh08GzKs8B1UxK/iQjcfUPP+R2AM2yfWMFpc+A0onOyADjX9m/KgMrze1377NZS2W1s+39HOL8VsJ3thRW0KCscDmV4cPFqQaAlvcl2rc73qJC0J5EN7V9ru7RGeYdSmdQcR8QSvNd2rZU8K5E0kdhit7/taoOYrdJy2XVTPDfumsjr52+/HHjA9oKe85OIfkuNeH3jiZWhnXb4c7ZXlNVG21RcldnxmwSMs/1gTY/VUbs/JWkMsdOnux2eY7vWqr4myYGnDYS84Ya4fIYI2vs9V8qmtTZI2rVmJ11tZvVoxknSqcDVrhzkfLQ0OnjXnFMtJJ0GXNVSfco6vmGhNrJuZju8dr/fTJvXolPWp/8/tZ2yPq0ZSZ8GrqYhpzWR9WmYzxgA208qsqvvDtxRuy1ujYzxNKCUkfGVlD3TtfeRzrZ9BbEE83FgUiWPi4A9gSslfV/SyWVms1Vm1vhRSQdJuge4T9JMlVgA6TSM24HpkuZJ+jdJx5QVBq1SPXvUCFRxkrSHpBsk3S3pM93lJml2DSdgKe3Vp6zjo6DF+iTpAElLJC2WtL+ka4gtr3dLelENp0K2w6OgxTavRSeyPq0Lsj6tosX69LkGndZE1qdVTkcSW0rvVWwH/k/g48Atkv68hlOr5IqnAUNtpgA9Evg0MfD1dmLLxqPA84C/sv3tfjt1uT2d2HJ3GBH7Zh4xs/+1Pnt8anVfAX9he7N++gBImgO8rextP5qIDXCs7RskzbO9dzoN89ubyEh2CLH153tEfeprp1PDU0uv/Ao43XbfYwU16jQLOJvI2nYCcBxwhO2lWZ/adsr6NGqn2UQSj4nEpM+RtmdJ2gf4R9sH9Nupl2yHV0+LbV6LTj1+nfo0DdiDrE+rfrhNp0GpT1WfTy06ZX0atdM8oqwmENsk97N9q6QdgSts79tvp1bJ4OKDx8eAQ7tuuGskHVticNTKYHMmMUo/4g1HvAz3FUm7Etv+brR9KXBpOX8GEXuq3xwHvA8YFh8EeGOfXToMyeohaQnwdUknUy+rR4tOSJoaSp4j6XFiRd9tRGDaE4B+DxScQ8ymjBSYs9ZK1hadNvWqGHPnSbqZyCB3LBXrU4eytW2epOcD7yReNGvUpxadsj6NjvGd2FKSHrA9C8D2XEVskOrYflARGH4BcAkRLH7amv/XeiHb4QF1krQ/sMSRSXIZEUvw6cQKh8uIGGf9psX61KJTi/Xp3cDXbd9TYhZ19xOmUOH51KITWZ9GjUvMVUl3eVWW4DtVtuAlQQ48DR55wz0F5eH9TmAJcJGk6ba/Vb5+TY1VYcAcIuDysDTSkv62/zpAm1k9mnOSdCYxkzFOsY1lKpFt5P3ATNsnVdCaC3zT9s29X0iqlfGrRSfUWAY5RYbEXl4GbA4rU773lRadyPo0Wrrb2N7Mn9Uytkma7ZLsRNKJwDuAbwIfBL7tCsF7yXZ4kJ0625AAzicGn84FDgZOs31UBacW61OLTi3Wp7OAUyQtJQZ3LrP9QPG7GRjW7vyBOmV9GiWSxth+ksgm2Tk3lvqZU5sit9oNGJJuAg53VzYrRYar7wA72960gtM8YIojoNrUzpaMcsMtsL17n30WEplqHlXs/b0c+KLt8ysuw9wSeMz2Y/3+7dWhNrN6tOi0kMgKszHwc2B724+U1QQ32t6jgtPzgAc9QhBFSdu6QuavRp1azCA3l4hRdCExWSDiJfMNALavT6esT2vhdAQRjHZZz/mdgdfa/li/ncrvr2xry9aIV9p+QJEI5QbbL6jglO3w4Dotsf38cjwkrISk+bb3quDUYn1q0anF+jQPmAK8HDgGOIIY2LmUWHXU9+DejTplfRqd037AQtu/6zm/E/Bi21/qt1Or5PKvweMUYNvuE7bvAV5KzP7U4CTKiK6HxgF5FnWcxrhkPHLEvzoQOEzSJ6i3HfGjwDRJfR8YXAOvB57T62T715Vmo1t1Wm57RenYLS1L/SkNca2A/kcR99cwanTICy067cQIS8Rt31VjkKCwL/EyeTrwa9vXES9219cY4GnYKevT6JhMxFMcgu2ltQadCmMkbaGIVaKumfvfMvL2yX6Q7fDgOi2SdFw5XiBpXwBJuwBPrP6/rVdarE8tOrVYn2z7SdszbR8PPBO4gNjOdns6rSTr0+g4kehn9jrdkYNOQ8kVTwOG2kwB2pSTpGuB99qe33VuHLFU+822x1Zw2p/YrnUwER9oJhEocMEa/2M6teB0I3CQ7WVdS2k7sys/cJ2A/scQ12kvYD5x/820/VC/XdLp96OsVP0kcD8RoHqHykpNOXWV3Z5EbKDqZZdOa+V1BzEwL2IV3QG275M0EZhVaYVKi+1LOo3OaRKxxe4lRIywfYC7y+fdNdwavU7pNDqn1e5+kLRJ7wrSP2CnFssunQaYHHgaMFqs3K05lc7TcndtR+z67gDbP6yg1e3QRLaKdBq1x8a2h61ykLQVsJ1LYN9aqJEsZOn0e3u9iuiUn1bTo5vWnFosu3T6/ZC0CbCt7f+u7NFE+5JOa+2zGfBson7fU3H14xDUSKa9dBq1xy62b+vnbz4VLTp109qzIJ0Gkxx4GmBarNwtOrWChmbae7Tr/BnACtvnpFObTi2ioZn2JhMvcp1Me4e6QtDzdErWJ5IuZlWmvSbKLp0GF0kvBvYHFlEy7VXcqpFOA4a6Mu0pYj6eSqzEWkzJtNfv65ROybpEXZn2RvhuChWeBek02OTA0waCJBFZtsa10jFv0akWGpppby9gukumPfUEykyntpxaRF2Z9oDuTHuHENtszk6nNp2S0aHVZ9q7FprL/pdOA4BWn2nvFUSmvb7HpEynwUXSYmBP28tLyIllRDKbg8v5vmfaS6dkXSLp18BvgWGZ9tKpbadWyYGnDQhJd7mBOCHdtOhUA7WZaS+dBhS1mWkvnZJ1htrMtJdOA4zazLSXTgOK2sy0l07JOkNtZtpLpwFmXG2BZO2QdMvqvqIn212/aNGpQYZk2pN0IHC5pB2hWqa9dBpcltteASyTNCTTnqRamfbSKVmX7AtMJzLtvd/2fEmPVR5ISafBZoykLYiMzkMy7UmqlWkvnQaXRZKOs/15SqY92zepbqa9dErWJXYk1JkJzJQ0nlhF/kbgPGDrdGrWqUly4Gnw2BY4FOjNWCPgR/3XAdp0ao37Je3lkmmvrOg5nMi0V2v2MJ0Gl8e1KsvJlM5JReafWgMq6ZSsM8pL3CclXVb+vJ/K7yzpNPBMImahBVjSdl6Vaa/WxEY6DS4nAOdL+gAR++rHkjqZ9k5Ip6adktEx5H63/QQwA5ihSBRRg3QaYHKr3YAh6SLg87ZnjfDdl22/KZ3aQw1m2kunwUUNZtpLp2R9osYy7UE6bSiokUx73aTT4KAGM+2lU7IuUIOZ9tJpsMmBpyRJkiRJkiRJkiRJkmS9MKa2QJIkSZIkSZIkSZIkSbJhkgNPSZIkSZIkSZIkSZIkyXohB56SJEmSJEmSJEmSJEmS9UIOPCVJkiRJkiRJkiRJkiTrhRx4SpIkSZIkSZIkSZIkSdYL/wfwnvMIX29ZhwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# initialize plot\n", "plt.figure(figsize=(20,10))\n", "\n", "# plot daily cases as bar graph\n", "dates = us_daily_cases.index\n", "cases = list(us_daily_cases)\n", "plt.bar(dates, cases, color='r')\n", "\n", "# plot 3 day average as line graph\n", "dates_3_day_avg = series_3_day_avg.index\n", "cases_3_day_avg = list(series_3_day_avg)\n", "plt.plot(dates_3_day_avg, cases_3_day_avg, color='y')\n", "\n", "# plot 5 day average as line graph\n", "dates_5_day_avg = series_5_day_avg.index\n", "cases_5_day_avg = list(series_5_day_avg)\n", "plt.plot(dates_5_day_avg, cases_5_day_avg, color='g')\n", "\n", "# plot 7 day average as line graph\n", "dates_7_day_avg = series_7_day_avg.index\n", "cases_7_day_avg = list(series_7_day_avg)\n", "plt.plot(dates_7_day_avg, cases_7_day_avg, color='b')\n", "\n", "# define x-axis ticks\n", "ticks = list(us_daily_cases.index)[::7]\n", "plt.xticks(ticks, rotation=90)\n", "\n", "# define title and labels\n", "plt.title(\"COVID-19 US Cases\")\n", "plt.ylabel('Daily Cases')\n", "plt.legend([\"3 day average\", \"5 day average\", \"7 day average\", \"Daily cases\"])\n", "\n", "# save to png\n", "filename = \"us-covid-cases.png\"\n", "plt.savefig(filename, bbox_inches = 'tight', optimize=True)\n", "\n", "# plot chart below\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# get local maxima\n", "maxima = argrelextrema(np.array(cases_7_day_avg), np.greater)\n", "\n", "# get local minima\n", "minima = argrelextrema(np.array(cases_7_day_avg), np.less)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on visual observation of the plotted data along with the maxima and minima values, I was able to divide the time series into 4 groups.\n", "\n", "I will analyze these 4 groups separately in order to more accurately model the data with best-fit curves." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# initial rise (feb 25 - apr 7)\n", "initial_rise_dates = dates_7_day_avg[30:73]\n", "initial_rise_cases = cases_7_day_avg[30:73]\n", "\n", "# first decline (apr 7 - june 6)\n", "first_decline_dates = dates_7_day_avg[72:133]\n", "first_decline_cases = cases_7_day_avg[72:133]\n", "\n", "# second wave (june 6 - july 19)\n", "second_wave_dates = dates_7_day_avg[132:176]\n", "second_wave_cases = cases_7_day_avg[132:176]\n", "\n", "# second decline (july 19 - present)\n", "second_decline_dates = dates_7_day_avg[160:]\n", "second_decline_cases = cases_7_day_avg[160:]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# defining functions to represent data\n", "\n", "def logistic(x, yo, k, r):\n", " return (k*yo)/(yo + (k-yo)*np.exp(-r*x))\n", " \n", "def exponential(x, a, b):\n", " return a*np.exp(b*x)\n", " \n", "def parabola(x, a, b, c):\n", " return a*x**2 + b*x + c\n", " \n", "def linear(x, a, b):\n", " return a*x + b" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def get_best_fit(data, best_fit_fn):\n", " popt, pcov = curve_fit(best_fit_fn, list(range(len(data))), data)\n", " best_fit_vals = [best_fit_fn(t, *popt) for t in range(len(data))]\n", " \n", " residuals = [d - b for d, b in zip(data, best_fit_vals)]\n", " ss_res = np.sum([i**2 for i in residuals])\n", " ss_tot = np.sum((data-np.mean(data))**2)\n", " r_squared = 1 - (ss_res / ss_tot)\n", " \n", " return best_fit_vals, r_squared" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Initial Rise\n", "\n", "plt.rcParams['figure.figsize'] = [18, 5]\n", "\n", "fig, (ax1, ax2, ax3) = plt.subplots(ncols=3)\n", "\n", "best_fit_vals, r_squared = get_best_fit(initial_rise_cases, logistic)\n", "ax1.plot(initial_rise_dates, initial_rise_cases, color='k')\n", "ax1.plot(initial_rise_dates, best_fit_vals, color='b')\n", "\n", "ticks = list(initial_rise_dates)[::7]\n", "ax1.set_xticks(ticks)\n", "ax1.set_xticklabels(ticks, rotation=90)\n", "\n", "ax1.legend([\"7 day average of daily cases\", \"logistic best fit\"])\n", "ax1.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "best_fit_vals, r_squared = get_best_fit(initial_rise_cases, parabola)\n", "ax2.plot(initial_rise_dates, initial_rise_cases, color='k')\n", "ax2.plot(initial_rise_dates, best_fit_vals, color='b')\n", "\n", "ticks = list(initial_rise_dates)[::7]\n", "ax2.set_xticks(ticks)\n", "ax2.set_xticklabels(ticks, rotation=90)\n", "\n", "ax2.legend([\"7 day average of daily cases\", \"parabolic best fit\"])\n", "ax2.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "best_fit_vals, r_squared = get_best_fit(initial_rise_cases, exponential)\n", "ax3.plot(initial_rise_dates, initial_rise_cases, color='k')\n", "ax3.plot(initial_rise_dates, best_fit_vals, color='b')\n", "\n", "ticks = list(initial_rise_dates)[::7]\n", "ax3.set_xticks(ticks)\n", "ax3.set_xticklabels(ticks, rotation=90)\n", "\n", "ax3.legend([\"7 day average of daily cases\", \"exponential best fit\"])\n", "ax3.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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KJEr0F1999Qki7/Hllx9ZvRtjjPEyly9fZtmyZfccoA4wYsQIXnnlFQYPHkzt2rVD25s0aULNmjXx9/enaNGi5M6dO3RbggQJKF++PKlSpQp3FmPVqlUZM2YMefLk4ZlnnqFkyZKh21KnTk2ePHnYtWsXxYsXByBv3rz079+fypUrExISgq+vL6NGjbprckGqVKlo06YN+fPn5//+7/8oVqxY6Lavv/6aNm3a4OPjQ7ly5UIfsbVu3ZrDhw9TuHBhVJV06dIxb968285buHBhXnvttdB4WrduTaFCd5UbvU2HDh1o0aIFefLkIU+ePBQpUgSAAgUKUKhQIXLnzk3mzJkpXbr0fc8Tka9nvnz56NOnD+XKlSNevHgUKlSIiRMn0q9fP+rXr0/q1KmpUKEChw4dApw7sCtXrsTHx4d8+fJRrVo1EiZMyO7du0Mf3yZLlowpU6awf/9+unXrho+PD76+vowePfqB8T6IxNY7PEWLFtUH1SCJLIGBMGCAMneuAJcoWXILc+aUIUOGaLm8McZ4vd27d5MnTx63w4gSISEhFC5cmFmzZpErVy63wwGcWZ63aqANGjSIkydPhjv7MCaKiV/PO4X371lENqlq0Tv3tUeTEVC0KMyZI2zfruTMuYN160qRJUsQHTvC4cP/7aeq7Nu3j6lTp9K5c2eeffZZevbs6Vrcxhhj3LVr1y5y5sxJxYoVY1TSsGjRIgoWLEj+/PlZvXr1baU4YrKY+vV8HHZH7CEFBwfz0kvdWLAgN/HitQKEfPm2kDz5KHbtmsu///4LQJIkSciUKRN79+5l4cKFVK9ePdpjNcaY2MKb74iZuMfuiEWhePHi8f33Q3j55aUEB2clOHgk27bl5tdfx5E69VL69p3Dtm3bOH/+PNu2bcPf3582bdqEDhY0xhhjjLnFErFHED9+fKZNm8bs2SNYs6YYhw5Br14+/PNPUT78sC69evmzcWN8EiZMyKRJkzh9+jRvvvmm22EbY4wxJoaxROwRJUiQgJdffpnSpUvj55eEAQPgyBH46CNYtw6efRYqVICzZwvRp8+7TJ06lblz57odtjHGGGNiEEvEIlGqVPDuu84A/k8/hT174IUXYPHi98ievTNt27bj9OnTbodpjDHGmBjCErEokCwZvP02HDwIo0fD33/7cPDgcM6cWU6NGt8SFBQ7J0gYY4w3u1XO4cSJE9SrVy9ar92vXz+GDh362OcZPnw4V65cCXfb6tWryZcvHwULFuT48eOhfdyyZQs//vjjY1/bPBpLxKJQokTQvj3s3essmZQ27VNs2PA2WbJc5JtvwFO42BhjTAzy1FNPhVahjypRtX7x/RKxqVOn0qtXL7Zs2ULGjBlD+2iJmLssEYsGvr7QrBkcPZqKnDl78fffh2nZEnLmhFGj4OpVtyM0xhhzy+HDh8mfPz8AEydO5KWXXqJq1arkypWL7t27h+63dOlSSpUqReHChalfv37ocjgffvghxYoVI3/+/LRt2zZ0abznn3+eLl26ULRo0XCLp27dupVSpUqRK1cuxo0bF9r+ySefUKxYMQICAnj//fcBZxWA6tWrU6BAAfLnz8+MGTMYOXIkJ06coHz58pQvX/62c48fP56ZM2fy3nvv0aRJk9A+3rhxg759+zJjxgwKFizIjBkzIveLaR7IljiKRgkTxmfhwtcoUKAghQv3wNf3fd54Q/joI+ja1bl7ljy521EaY4y7unSBLVsi95wFC8KjriW+ZcsWfv/9dxImTMgzzzxDp06dSJw4Mf3792f58uUkTZqUwYMH89lnn9G3b1/eeOON0IWgX331VRYuXEjNmjUBuHHjBveqgblt2zbWrVvH5cuXKVSoENWrV2fHjh3s27ePDRs2oKrUqlWL//3vf5w+fZqnnnqKRYsWAc46iilTpuSzzz5j5cqVpE2b9rZzt27dmjVr1lCjRg3q1avHYU818gQJEvDhhx8SGBjIF1988WhfIPNY7I5YNHvmmWcYOHAAGzd+QOvWk1i5Evz9oXt3yJoVPvgArOSYMcbEHBUrViRlypQkSpSIvHnzcuTIEdatW8euXbsoXbo0BQsWZNKkSaELb69cuZISJUrg7+/Pzz//zM6dO0PP1bBhw3tep3bt2iROnJi0adNSvnx5NmzYwNKlS1m6dCmFChWicOHC7Nmzh3379uHv78+yZcvo0aMHq1evDl0r0sQ+dkfMBZ07d2bu3Ll06dKZHTsqsmxZZtavhwEDoF8/GDrUWXD87bchfXq3ozXGmOj1qHeuokrChAlD38eLF4+goCBUlUqVKvHdd9/dtu+1a9fo2LEjgYGBZM6cmX79+nHt2rXQ7UmTJr3ndUTkrr+rKr169aJdu3Z37b9582Z+/PFH3n33XSpWrBh6F87ELnZHzAU+Pj588803BAUF0bp1a1SVEiVg/nzYuhVq1HCSMT8/6NQJjh51O2JjjDFhlSxZkl9//ZX9+/cDzpitvXv3hiZdadOm5dKlSw816H/+/Plcu3aNM2fOsGrVKooVK0aVKlWYMGFC6Piz48eP8/fff3PixAmSJElC06ZN6datG5s3bwYgefLkXLx48aH68ijHmMhjiZhLcuTIwdChQ1m6dClDhgwJbQ8IgO++c2qQvfIKjBkDOXJAq1awb5+LARtjjAmVLl06Jk6cSOPGjQkICKBUqVLs2bOHVKlS0aZNG/Lnz0+VKlUoVqxYhM8ZEBBA+fLlKVmyJO+99x5PPfUUlStX5pVXXqFUqVL4+/tTr149Ll68yPbt2ylevDgFCxbkgw8+CF20u23btlStWvWuwfr3U758eXbt2mWD9V1ii367SFV55ZVXmDFjBosXL6ZKlSp37fPnn/DJJzB+PNy4AQ0aQO/ezrgyY4zxFrbot/Emtuh3LCEijB8/Hn9/fxo3bsyBAwfu2idLFvj8c6da/zvvwMKFzl2z2rVhw4boj9kYY4wxkccSMZclTZo0dA3KunXrcvny5XD3S58eBg921rPs1w9Wr4YSJaByZfjlF4ilNzaNMcaYOM0SsRgge/bsTJ8+nZ07d9KqVSvu97j4iSfg/fedhGzIENi2DZ5/HsqWhR9/tITMGGOMiU0sEYshKleuzIABA5gxYwaffvrpA/dPnhy6dYNDh+CLL5yZldWrQ5EiMHs2hIREQ9DGGBOJYuuYZWPCeth/x5aIxSDdu3enXr169OjRg+XLl0fomMSJ4fXXnRmVEybApUtQvz7kyweTJ9t6lpHtxIkTvPbaa+TMmZPjx4+7HY4xXiNRokScOXPGkjETq6kqZ86cIVGiRBE+xmZNxjCXLl2iZMmSnDx5ksDAQLJly/ZQxwcHO3fEBgxwHlv6+UGPHtCiBYSpSWge0rVr1xg2bBgff/wxNz3Z7UsvvXRXMUdjzKO5efMmx44du634qTGxUaJEiciUKRO+vr63td9r1qQlYjHQ/v37KVasGH5+fvz6668kSZLkoc+h6syw7N/fmV2ZIYMz67JdO7hPYWdzB1Vlzpw5dOvWjUOHDlGnTh2GDh3KlClT6NevHytWrKBChQpuh2mMMSaGe+TyFSKSSEQ2iMhWEdkpIh942rOJyHoR2S8iM0Qkgac9oefv+z3b/cKcq5en/Q8RqRKmvaqnbb+I9IyUHsdiOXPmZNq0aWzdupU2bdo80q16EahZE9atg2XLIHduZ2FxPz/4+GM4dy7Sw/Y6W7dupUKFCtSrV4+kSZOyfPly5s6dS44cOejevTvZs2fnjTfe4MaNG26HaowxJpaKyBix60AFVS0AFASqikhJYDAwTFVzAv8CrTz7twL+9bQP8+yHiOQFGgH5gKrAlyIST0TiAaOAakBeoLFn3zitWrVq9O/fn2nTpvHxxx8/8rgJEXjhBfj5Z/j1VyheHN5911lgvHdvOH06kgP3AqdPn6Z9+/YULlyY7du3M2rUKH7//XcqVqwYuk/ixIkZOXIku3fvZuTIkS5Ga4wxJlZT1Qi/gCTAZqAE8A8Q39NeCljieb8EKOV5H9+znwC9gF5hzrXEc1zosZ722/a716tIkSLq7UJCQrRJkyYKaJcuXTQ4ODhSzrt5s2r9+qoiqokTq3burHrsWKScOta7ePGi+vn5abx48bRz58569uzZ++5fs2ZNTZo0qR49ejSaIjTGGBMbAYEaTj4ToVmTnjtXW4C/gWXAAeCcqgZ5djkGZPS8zwgc9SR5QcB5IE3Y9juOuVd7eHG0FZFAEQk8HQdu5YgIkydPpnPnzgwfPpzGjRtHykDWQoVg5kzYtctZMumLLyB7dmf82MGDkRB4LPbuu+9y5MgRVqxYwfDhw0mdOvV99x8xYgTBwcG888470RShMcYYbxKhRExVg1W1IJAJKA7kjsqg7hPHWFUtqqpF06VL50YI0c7Hx4dhw4bxySefMHPmTKpWrcq5SBrglTs3TJwI+/c7i4pPmgRPPw2vvuokaXHNhg0bGDlyJB06dKBcuXIROiZbtmz06tWLGTNmsGLFiiiO0BhjjLd5qDpiqnoOWInzODGViMT3bMoE3CqqdBzIDODZnhI4E7b9jmPu1W48RIR33nmHqVOnsnbtWsqWLcuxY8ci7fx+fvDll05x2C5dYM4cpw7Zyy/D5s2RdpkY7ebNm7Rp04YMGTIwYMCAhzrWBu4bY4x5VBGZNZlORFJ53icGKgG7cRKyep7dmgPzPe8XeP6OZ/vPnmejC4BGnlmV2YBcwAZgI5DLMwszAc6A/gWR0Dev88orr7B48WKOHDlCqVKl2LlzZ6SeP0MGGDrUWT7p3XdhxQqnUn+1arBmTaReKsb57LPP2LZtG6NGjSJlypQPdWyiRIkYOXIke/bsYcSIEVEUoTHGGG/0wDpiIhIATALi4SRuM1X1QxHJDkwHngB+B5qq6nURSQR8CxQCzgKNVPWg51x9gJZAENBFVRd72l8EhnuuMUFVP35Q4N5cR+xBtmzZQrVq1bh27RoLFiygbNmyUXKd8+edO2XDhjmzK597Dvr0gUqVnNmY3mL//v34+/tTrVo15syZ88jnqVOnDsuXL2fPnj1kypQpEiM0xhgT21lBVy9z+PBhqlatyuHDh5kyZQr16tV78EGP6MoVGD8ePvkEjh2DokWdhKxWLfCJ5YtkqSqVKlVi48aN7Nq1i4wZw50nEiGHDx8mT5481KpVixkzZkRilMYYY2K7Ry7oamKmW1X3ixQpQsOGDVm4cGGUXStJEnjzTWdQ/7hxcPYs1K0LAQEwbRoEBT34HDHV5MmTWbFiBYMGDXqsJAyc70nv3r2ZOXNmhNcKNcYYE7fZHbFY7vLlyzz33HPs3buXX3/9lYCAgCi/ZlAQzJjhrGe5axfkyAE9e0KzZpAgQZRfPtL8/fff5MmThzx58vC///0Pn0i4vXft2jXy589P/Pjx2bZtGwli0xfEGGNMlLE7Yl4qadKkLFiwgBQpUlCzZk1OnToV5deMHx+aNIHt250ZlqlSQZs2TkI2cqTzKDM2ePvtt7l48SJjx46NlCQMnIH7n3/+OX/88QeVK1fm22+/5eLFi5FybmOMMd7HEjEvkDFjRn744Qf++ecf6tSpw9WrV6Pluj4+ziPKjRvhp58gWzbo3NkphzFwIFy4EC1hPJIlS5YwdepUevXqRd68kbuiVrVq1fjkk084dOgQzZo1I3369DRq1IgFCxZYeQtjjDG3sUeTXmTu3Lm8/PLLNGjQgO+++w5xYWrj6tXOouJLlkDKlNCpk5OcpU0b7aHc0+XLl8mfPz8JEyZk69atJEyYMEquExISwtq1a5k2bRozZ87kzJkzpE6dmvr169OkSRPKlCkTaXfijDHGxGz2aDIOqFu3LoMGDWLGjBn069fPlRjKlnXujm3cCBUqQP/+zh2yrl3h5ElXQrrL+++/z+HDhxk3blyUJWHgrIpQpkwZvvzyS06ePMmiRYuoVq0aU6ZMoVy5cjz11FPUq1ePYcOGsX79ertbZowxcZDdEfMyqkqrVq345ptvmDJlCk2aNHE1np07nceU330Hvr7QsiV07+4kZ25Yv349zz77LK1bt+arr75yJYbLly8zf/58Fi1axNq1azl8+DDgjC8rWrQopUuX5tlnn6VUqVLElaW8jDHG21kdsTjkxo0bVKpUiXXr1rFy5UqeffZZt0PiwAEYPNhZ2zIkBJo2hV694Jlnoi+G06dPU6RIEXx8fNiyZQupUqWKvovfx4kTJ/jtt99Yu3Yta9euZdOmTdy8eROAMWPG0K5dO5cjNMYY87gsEYtjzpw5Q4kSJbhw4QIbNmzAz61bUHc4dsxZRmnsWLh2DerVg969oWDBqL1ucHAwVapUYc2aNaH112Kqq1evsmnTJvr27cv69evZsWMH2bJlczssY4wxj8HGiMUxadKkYeHChdy8eZMaNWpw5swZt0MCIFMmGD4cDh92ao8tWQKFCkGNGvDbb1F33ffee48VK1bw5ZdfxugkDCBx4sSUKVOGSZMm4ePjQ9u2bYmtvzAZY4y5P0vEvFju3LmZPXs2e/bsIX369JQsWZLevXuzbNkyrrhc7OvJJ52CsEeOwEcfwbp18OyzzgD/FSsgMvOOefPmMXDgQNq0aUPLli0j78RRLHPmzAwePJjly5czadIkt8MxxhgTBezRZBywadMm5s2bx88//8yGDRsICgrC19eXUqVKUb58eSpUqECJEiWidAbhg1y65DyuHDrUmV1ZooSznmWNGo+3wPjevXspWrQouXPnZvXq1a728VGEhIRQrlw5duzYwe7du/m///s/t0MyxhjzCGyMmAHg4sWLrFmzhpUrV/Lzzz+zefNmVJU0adLwwQcf0K5dO+LHj+9afNeuOQP6Bw92Hl8GBDhjyOrVg3jxHu5cly5domTJkpw6dYrNmzeTJUuWqAg5yv3xxx8UKFCAmjVrMmvWLLfDMcYY8whsjJgBIHny5FSrVo0hQ4YQGBjImTNnmDt3LgUKFOCNN96gQIECLF261LX4EiWC9u1h716YNAlu3IBGjSBvXvjmG/BMJnwgVaV169bs3r2b6dOnx9okDOCZZ57h/fffZ/bs2cydO9ftcIwxxkQiS8TiuNSpU1OnTh2WL1/O3LlzuX79OlWqVKFmzZrs3bvXtbh8fZ1FxHfsgFmzIEkSpwZZzpwwahQ8aBWnESNGMGPGDPr3788LL7wQPUFHoXfeeYeCBQvSsWNH/v33X7fDMcYYE0ksETMAiAh16tRh586dDBkyhF9++YV8+fLx9ttvc+7cOdfiihfPeSy5eTMsWuTMunzjDWddy08+gfDW0169ejXvvPMOderUoWfPntEfdBTw9fXl66+/5vTp03Tr1s3tcIwxxkQSS8TMbRImTEi3bt3Yt28fLVq0YPjw4eTKlYvRo0cTHBzsWlwi8OKLsGYNrFwJ/v5Ohf6sWeGDD+DsWWe/kydP0qBBA7Jnz87EiRNdWW8zqhQuXJh33nmHr7/+mhUrVrgdjjHGmEhgg/XNfW3ZsoUuXbrwyy+/ULVqVWbMmEGKFCncDguA9eudEhgLFkCyZNCy5TV++aU2+/atYf369eTPn9/tECPd1atXKVCgAMHBwWzfvp0kSZK4HZIxxpgIsMH65pEULFiQlStX8tVXX7F8+XLKlCnDn3/++dDn2bx5M40aNWLUqFFcv349UmIrUQLmz4etW6FSpWuMHJmArVvnUb78DlKk8L4kDJxir+PGjePgwYP07dvX7XCMMcY8JkvEzAOJCG3btmXx4sX8+eeflChRgojejQwKCqJ///6UKFGCBQsW8MYbb/D0008zbty40PUUH1fatCfYs6cwCRIUoHLlMyxZko0cOaBVK9i3L1IuEaOUK1eOdu3aMWzYMDZu3Oh2OMYYYx6DJWImwl544QXWrl1LokSJeO6555g3b95999+7dy9lypThvffeo379+hw7doylS5eSIUMG2rZtS+7cuZk0aRJBQUGPHNORI0d47rnnOHr0KEuXfsGSJZk4cMApgTFtGuTODY0bw/btj3yJGGnw4MFkyJCBJk2asH//frfDMcYY86hUNVa+ihQposYdp06d0hIlSqiI6NChQzUkJOS27SEhITpq1ChNnDixpk6dWqdPn37X9oULF2rhwoUV0KefflqnTp2qQUFBDxXHvn37NHPmzJoqVSr97bff7tp+8qRq9+6qyZKpgmqtWqrr1z98f2Oq1atX6xNPPKEpU6bUH374we1wjDHG3AcQqOHkM64nVI/6skTMXVeuXNH69esroO3atdObN2+qquqxY8e0SpUqCmiVKlX0+PHj9zxHSEiIzp07VwMCAhTQvHnz6sSJE/XMmTMPvP7OnTs1Q4YMmjZtWt28efN99z1zRrVfP9XUqZ1/8S+8oLpypeod+WOsdOjQIS1UqJAC+v7772twcLDbIRljjAmHJWIm0gUHB2uvXr0U0MqVK+s333yjqVOn1iRJkuiXX355152y+51n5syZmidPHgU0Xrx4Wq5cOR06dKju3bv3rv1///13TZs2rf7f//2f7tixI8LxXrigOmSIavr0zr/8Z59VXbQo9idkV65c0ebNmyug1atX17Nnz7odkjHGmDvcKxGz8hXmsU2YMIF27doRFBREyZIlmTx5Mrly5Xro84SEhLBp0yYWLFjAggUL2LZtGwC5c+emVq1a1KpVCx8fH1588UWSJ0/OihUrHuk6V6/ChAkwZAj8+ScUKuSsZ/nSS+ATS0dNqiqjR4+mc+fOZM2alblz5+Lv7+92WMYYYzxs0W8TpdasWcP27dtp06ZNpC0afvjwYX744Qd++OEHVq5cGTqoP3v27Pz8889kzZr1sc5/4wZMnQoDBzqzK3Pnhl69nMH9vr6R0YPot3btWurVq8f58+cZP348jRs3djskY4wxWCJmYrnz58+zZMkStm/fTvv27cmYMWOknTs4GGbPdorDbtsGfn7Qowe89pqzCHlsc+rUKerXr8+aNWt46623GDJkSKQlx8YYYx6NJWLGPIAqLFwI/fvDhg2QIQO88w60awdJk7od3cO5ceMG77zzDp9//jldunRh2LBhbodkjDFxmlXWN+YBRKBmTVi3DpYtcx5Vdu3qrGfZvz+4uPb5Q0uQIAEjR47kjTfeYPjw4Q+s+WaMMcYdlogZcwcReOEF+Pln+PVXZyml995zErLeveH0abcjjLihQ4dStGhRXnvtNQ4dOuR2OMYYY+5giZgx9/Hss7BoEWzeDFWqwKBBTkLWpQscO+Z2dA+WMGFCZs6cCUCDBg0ibZ1PY4wxkcMSMWMioFAhmDkTdu2CBg3giy8ge3Zo2xYOHHA7uvvLli0b33zzDYGBgXTv3t3tcIwxxoTxwERMRDKLyEoR2SUiO0Wks6e9oIisE5EtIhIoIsU97SIiI0Vkv4hsE5HCYc7VXET2eV7Nw7QXEZHtnmNGiohERWeNeVy5c8PEibB/v7Oo+KRJ8PTT0LQp7NzpdnT3VrduXbp06cLIkSP5/vvv3Q7HGGOMR0TuiAUBXVU1L1ASeF1E8gJDgA9UtSDQ1/N3gGpALs+rLTAaQESeAN4HSgDFgfdFJLXnmNFAmzDHVX3snhkThfz8YPRoOHTIeUw5dy7kz+8Uhd20ye3owjd48GCKFy9Oy5YtORDTb+MZY0wc8cBETFVPqupmz/uLwG4gI6BACs9uKYETnve1gcmeiv7rgFQikgGoAixT1bOq+i+wDKjq2ZZCVdd5lgCYDNSJtB4aE4Weego+/RSOHIF333UG+BctClWrwpo1bkd3uwQJEjBjxgx8fHxsvJgxxsQQDzVGTET8gELAeqAL8ImIHAWGAr08u2UEjoY57Jin7X7tx8JpD+/6bT2PQQNPx6apa8brpU0LH33kJGQDBzqD+8uWheeegyVLnBplMYGfnx+TJk1i8+bNdO3a1e1wjDEmzotwIiYiyYDvgS6qegHoALylqpmBt4CvoybE/6jqWFUtqqpF06VLF9WXM+ahpUwJPXvC4cMwYoTz6LJqVShe3Hl8GRLidoRQq1YtunbtyqhRo0JnVBpjjHFHhBIxEfHFScKmquocT3Nz4Nb7WTjjvgCOA5nDHJ7J03a/9kzhtBsTayVJAm++6QzqHzcOzp51xo8FBDjrW3qWzXTNwIEDKVmyJK1bt2bfvn3uBmOMMXFYRGZNCs7drt2q+lmYTSeAcp73FYBbP80XAM08sydLAudV9SSwBKgsIqk9g/QrA0s82y6ISEnPtZoB8yOjc8a4LWFCaN0a/vgDpkxxHlE2berMvhw3DtwapuXr68uMGTPw9fWlWrVq2HJhxhjjjojcESsNvApU8JSq2CIiL+LMcvxURLYCA3BmSAL8CBwE9gPjgI4AqnoW+AjY6Hl96GnDs894zzEHgMWR0DdjYoz48aFJE9i+HebMgVSpnBpkOXI4jzCvXIn+mLJkycLChQu5fv06pUqVYvDgwYTEhGenxhgTh9ii38a4QBWWLoWPP4bVqyFdOnjrLXj9dUiR4sHHR6azZ8/Srl07Zs+eTfny5Zk8eTKZMmV68IHGGGMizBb9NiYGEXGWTPrf/5xX4cLOOpZZsjjrWv7zT/TF8sQTTzBz5ky+/vprNmzYQEBAAHPmzHnwgcYYYx6bJWLGuKxsWfjpJ9i4ESpUgP79nYKxXbvCyZPRE4OI0LJlS37//Xdy5MjByy+/TJs2bbh8+XL0BGCMMXGUJWLGxBBFizrjx3bsgDp1YPhwyJYNOnZ0ymFEh1y5cvHrr7/Ss2dPvv76awoXLsymmLpUgDHGeAEbI2ZMDHXgAAwe7KxtGRLizLbs2dOZcRkdVq1aRdOmTTl+/Dg+Ps7vbLeWgRWR294/8cQT5MyZk1y5ct32ypEjB8mSJYuegI0xJga71xgxS8SMieGOHYOhQ2HsWLh2DV5+Gfr0gYIFo/7aZ8+eZezYsVy+fBlV5dbPi7B/qiqnT59m37597Nu3j1OnTt12jgwZMuDv789nn31Gvnz5oj5oY4yJgSwRMyaW+/tv53HlqFFw4QK8+KKTkD37rNuR3e7ixYvs37+f/fv3hyZnixYt4sqVK3z99dc0bNjQ7RCNMSbaWSJmjJc4dw6++MJJys6cgeefdxKyihWd2Zgx0fHjx2nQoAFr167lrbfeYvDgwfj6+rodljHGRBsrX2GMl0iVCt591xnA/+mnTtX+SpWgZElYsCDmLDAeVsaMGVm5ciWdOnVi2LBhvPDCC3c9wjTGmLjIEjFjYqlkyeDtt+HgQRg92nl0Wbs2FCgA06dDcLDbEd4uQYIEjBw5kilTprBx40YKFy7Mr7/+6nZYxhjjKkvEjInlEiWC9u1h716YNAlu3oTGjSFPHpgwAW7ccDvC2zVp0oR169aRJEkSnn/+eT7//HNi6xAJY4x5XJaIGeMlfH2hWTOnDtmsWZA0KbRqBblyOQP8r151O8L/BAQEEBgYSLVq1XjzzTdp2rSpFY81xsRJlogZ42XixYN69WDzZli0CDJlgjfecIrDfvIJXLzodoSOVKlSMW/ePD7++GO+++478ufPz/fff293x4wxcYolYsZ4KRGnxMWaNbByJfj7Q/fukDUrfPABnD3rdoTg4+ND7969WbVqFSlSpKBevXpUqFCBrVu3uh2aMcZEC0vEjPFyIk6Ji2XLYN06Z23Lfv2chKxHD/jrL7cjhOeee45NmzYxevRotm/fTuHChenQoQOnT592OzRjjIlSlogZE4eUKAHz58PWrVCjhlOx388POnWCP/90N7b48ePTvn179u3bx5tvvsn48eN5+umnGTFiBDdv3nQ3OGOMiSKWiBkTBwUEwHffwZ498MorMGYM5MjhDO7ft8/d2FKnTs2wYcPYtm0bJUqUoEuXLgQEBLBs2TJ3AzPGmChgiZgxcViuXPD1184C4+3bw7RpzqLijRvD9u3uxpYnTx4WL17MwoULCQ4OpmrVquzZs8fdoIwxJpJZImaMIUsW+Pxzp1r/O+/AwoXOXbPatWHDBvfiEhGqV6/OmjVriBcvHmPGjHEvGGOMiQKWiBljQqVPD4MHw5EjzoD+1audcWWVKsGqVe4tn/Tkk09Sr149Jk6caPXGjDFexRIxY8xdnngC3n/fSciGDHEeU5YvD2XKwI8/upOQdezYkfPnzzN9+vTov7gxxkQRS8SMMfeUPDl06waHDsEXX8CxY1C9OhQpArNnQ0hI9MVSunRp/P39GTVqlBV9NcZ4DUvEjDEPlDgxvP66M6NywgS4dAnq14d8+WDyZGd9y6gmInTo0IHff/+dDW4OXDPGmEhkiZgxJsISJIAWLWD3bpg+3fl78+bw9NNOCYxr16L2+k2bNiVZsmSMHj06ai9kjDHRxBIxY8xDixcPGjaELVtgwQJnkH+HDpA9O3z2GUTVePrkyZPz6quvMn36dM6cORM1FzHGmGhkiZgx5pGJQM2a8NtvsHy5U4Osa1dn+aT+/eHcuci/ZocOHbh+/ToTJ06M/JMbY0w0s0TMGPPYRKBiRfj5Z1i7FkqWhPfecxKy3r0hMpeM9Pf3p0yZMowePZqQ6JwtYIwxUcASMWNMpCpVyikI+/vvUKUKDBrkJGRdujizLiNDx44dOXDggC17ZIyJ9SwRM8ZEiYIFYeZM2LULGjRwyl9kzw5t2zpLKj2Ol156iSeffNIG7RtjYj1LxIwxUSp3bpg4Efbvh9atnXIXTz8NTZvCzp2Pds6ECRPSqlUrfvjhB/78889IjdcYY6KTJWLGmGjh5wdffukUh33rLZg3D/Lnh5degk2bHv587dq1Q1UZN25cZIdqjDHRxhIxY0y0ypABhg51lk967z1YuRKKFoWqVZ21LSMqa9asVK9enXHjxnHjxo2oC9gYY6LQAxMxEcksIitFZJeI7BSRzmG2dRKRPZ72IWHae4nIfhH5Q0SqhGmv6mnbLyI9w7RnE5H1nvYZIpIgMjtpjIl50qSBDz90ErKBA2HzZnjuOee1ZEnE1rPs2LEjf/31F3Pnzo36gI0xJgpE5I5YENBVVfMCJYHXRSSviJQHagMFVDUfMBRARPICjYB8QFXgSxGJJyLxgFFANSAv0NizL8BgYJiq5gT+BVpFWg+NMTFaihTQsyccPgwjRjiPLqtWheLFYe7c+69nWaVKFbJly2aD9o0xsdYDEzFVPamqmz3vLwK7gYxAB2CQql73bPvbc0htYLqqXlfVQ8B+oLjntV9VD6rqDWA6UFtEBKgAzPYcPwmoE0n9M8bEEkmSwJtvOjMqx42Df/91xo8FBMC0aRAUdPcxPj4+tG/fnl9++YWdjzry3xhjXPRQY8RExA8oBKwHngbKeh4p/iIixTy7ZQSOhjnsmKftXu1pgHOqGnRHuzEmDkqQwJlduWcPTJ3qtDVp4sy+HDcOrl+/ff8WLVqQIEECxowZE/3BGmPMY4pwIiYiyYDvgS6qegGIDzyB87iyGzDTc3cryohIWxEJFJHA05FZqtsYE+PEjw+vvALbtjmPKFOndmqQ5cwJI0fClSvOfunSpaNBgwZMmjSJS5cuuRu0McY8pAglYiLii5OETVXVOZ7mY8AcdWwAQoC0wHEgc5jDM3na7tV+BkglIvHvaL+Lqo5V1aKqWjRdunQRCd0YE8v5+ECdOrBhgzOIP3t26NzZKYcxcCBcuOAM2r948SJjx451O1xjjHkoEZk1KcDXwG5V/SzMpnlAec8+TwMJgH+ABUAjEUkoItmAXMAGYCOQyzNDMgHOgP4FqqrASqCe57zNgfmR0DdjjBcRgcqV4Zdf4H//gyJFnHUss2SBRYtKUr58fXr06GHLHhljYpWI3BErDbwKVBCRLZ7Xi8AEILuI7MAZeN/cc3dsJzAT2AX8BLyuqsGeMWBvAEtwBvzP9OwL0AN4W0T244wZ+zoS+2iM8TJly8LixRAY6Cw2/vHHwoYNM0iV6mvq1n2dLVu2uB2iMcZEiGhEivXEQEWLFtXAwEC3wzDGxAC7dsGAAfDdd0pIyA2SJJnOkiUVKVMmk9uhGWMMACKySVWL3tlulfWNMbFe3rwwZQrs3SvUq3eZK1caU7bs/9G48XX27HE7OmOMuTdLxIwxXiNHDpg16wlmztyEj89oZs5U8uZV6tcHe1ppjImJLBEzxnid+vVLMW3ak4SEZOHpp+eydKlSqBBUrw6//eZ2dMYY8x9LxIwxXqlhw4Z8+mlP/vjjZV55pTf9+8P69fDss1ChAqxYEbH1LI0xJipZImaM8VpvvfUWnTt3ZsyYQSRO/BlHjsBnn8Eff8ALL0CpUvDDD5aQGWPcY4mYMcZriQifffYZ9erVo2vXrixcOIO33oKDB2HMGPjrL6hVCwoWhBkzIDjY7YiNMXGNJWLGGK/m4+PDt99+S9myZXnttdc4ceIECRNCu3awdy9MmgQ3bkCjRs7sy2++gZs33Y7aGBNXWCJmjPF6iRIlYuLEiQQFBTFo0KDQdl9faNYMdu6E2bMhaVJo2dJZz3LUKLh61cWgjTFxgiVixpg4IXv27DRv3pyxY8dy/Pjty9n6+MDLL8OmTbBoEWTKBG+8AdmywSefwMWLLgVtjPF6logZY+KMd999l+Dg4NvuioUlAi++CGvWwMqV4O8P3btD1qzwwQdw9mw0B2yM8XqWiBlj4gw/Pz9atGjB2LFjOXbs2D33E4Hnn4dly5ySF2XLQr9+TkLWowecOhVtIRtjvJwlYsaYOKVPnz6EhIQwcODACO1fvDjMnw/btkGNGjB0qPPIslMn+PPPKA7WGOP1LBEzxsQpWbNmpWXLlowfP56jR49G+Dh/f/juO9izB155xSl/kSMHtGoF+/ZFYcDGGK9miZgxJs7p06cPqsqAAQMe+thcueDrr+HAAWjfHqZNg9y5oXFj2L49CoI1xng1S8SMMXFOlixZaNWqFV9//TV/PuLzxSxZ4PPP4fBheOcdWLgQAgKgdm3YsCFy4zXGeC9LxIwxcVLv3r0RkUe6KxZW+vQweDAcOeLMrFy9GkqUgEqVYNUqWz7JGHN/logZY+KkzJkz07p1ayZMmMCRI0ce+3xPPAF9+zoJ2ZAhzmPK8uWhTBn48UdLyIwx4bNEzBgTZ/Xq1QsR4eOPP460cyZPDt26waFD8MUXcOwYVK8ORYo41ftDQiLtUsYYL2CJmDEmzsqUKRNt2rThm2++4dChQ5F67sSJ4fXXYf9+mDABLl2C+vUhXz6YPNnWszTGOCwRM8bEab169SJevHiRelcsLF9faNECdu+G6dMhQQJo3hyeftopgXHtWpRc1hgTS1giZoyJ0zJmzEjbtm2ZNGkSBw8ejLLrxIsHDRvCli2wYIEzyL9DB8ieHT77DC5fjrJLG2NiMEvEjDFxXs+ePaP0rlhYIlCzJvz2Gyxf7tQg69rVWT6pf384dy7KQzDGxCCWiBlj4rynnnqKdu3aMWnSJA4cOBAt1xSBihXh559h7VooWRLee89JyHr3htOnoyUMY4zLLBEzxhicu2IJEyakWbNmXL9+PVqvXaqUUxD299+hShUYNMhJyLp0cWZdGmO8lyVixhgDZMiQgQkTJrB27VrefPNNV2IoWBBmzoRdu6BBA6f8Rfbs0Lats6SSMcb7WCJmjDEeDRs2pGfPnowdO5YxY8a4Fkfu3DBxolP6onVrp9zF009D06awc6drYRljooAlYsYYE0b//v2pVq0anTp1YvXq1a7G4ucHX37pFId96y2YNw/y54eXXoJNm1wNzRgTSSwRM8aYMOLFi8e0adPIli0b9erV41gMGKSVIQMMHeosn/Tee7ByJRQtClWrOmtbGmNiL0vEjDHmDqlSpWLevHlcuXKFunXrcvXqVbdDAiBNGvjwQychGzgQNm+G555zXkuW2HqWxsRGlogZY0w48ubNy5QpUwgMDKR9+/ZoDMpyUqSAnj3h8GEYMcJ5dFm1KhQvDnPn2nqWxsQmlogZY8w91K5dm379+jF58mRGjBjhdjh3SZIE3nzTmVE5bhz8+68zfiwgAKZOhaAgtyM0xjyIJWLGGHMf7733HnXq1OGdd95hxYoVbocTrgQJnNmVe/Y4CRg4Myxz53YStGgui2aMeQgPTMREJLOIrBSRXSKyU0Q637G9q4ioiKT1/F1EZKSI7BeRbSJSOMy+zUVkn+fVPEx7ERHZ7jlmpIhIZHbSGGMelY+PD5MnT+aZZ56hQYMGHDp0yO2Q7il+fHjlFdi2zXlEmTq1U4MsRw7nEeaVK25HaIy5U0TuiAUBXVU1L1ASeF1E8oKTpAGVgT/D7F8NyOV5tQVGe/Z9AngfKAEUB94XkdSeY0YDbcIcV/XxumWMMZEnefLkzJ8/n5CQEKpWrcrmzZvdDum+fHygTh3YsMEZxJ8jh1Ol38/PGeR/4YLLARpjQj0wEVPVk6q62fP+IrAbyOjZPAzoDoQdxVobmKyOdUAqEckAVAGWqepZVf0XWAZU9WxLoarr1BkNOxmoEzndM8aYyJEzZ07mz5/PpUuXKF68OO+//z43btxwO6z7EoHKleGXX5wyF0WKOOtYZsnilMH45x+3IzTGPNQYMRHxAwoB60WkNnBcVbfesVtG4GiYvx/ztN2v/Vg47eFdv62IBIpI4GlbEdcYE82ee+45duzYQZMmTfjwww8pXrw4W7fe+SMwZipTBhYvhsBAZ7Hx/v2dO2Rdu8KJE25HZ0zcFeFETESSAd8DXXAeV/YG+kZNWOFT1bGqWlRVi6ZLly46L22MMQCkTp2aSZMmMX/+fE6dOkXRokX56KOPuHnzptuhRUiRIvD9985SSXXrOmPHsmWDDh2cchjGmOgVoURMRHxxkrCpqjoHyAFkA7aKyGEgE7BZRP4POA5kDnN4Jk/b/dozhdNujDExVq1atdi5cycNGjSgb9++lCxZkh07drgdVoTlzQvffgt798Jrr8GECZAzp/N+zx63ozMm7ojIrEkBvgZ2q+pnAKq6XVWfVFU/VfXDeZxYWFVPAQuAZp7ZkyWB86p6ElgCVBaR1J5B+pWBJZ5tF0SkpOdazYD5UdBXY4yJVGnSpGHq1Kl8//33HD16lMKFCzNgwACCg4PdDi3CsmeHr76CgwehUyeYOdNJ0urXhy1b3I7OGO8XkTtipYFXgQoissXzevE++/8IHAT2A+OAjgCqehb4CNjoeX3oacOzz3jPMQeAxY/QF2OMccVLL73Ezp07qVu3Ln369KFv32gdtREpMmaEYcOc5ZN69YKlS6FQIaheHdaudTs6Y7yXxKRlOx5G0aJFNTAw0O0wjDHmNi1atGDy5MmsXbuWEiVKuB3OIzt3DkaNcpKzM2fg+eehTx9noL9VejTm4YnIJlUteme7VdY3xphINHz4cDJmzEizZs24EosrqKZK5SReR47AZ585Y8kqVYKSJeGHH2yBcWMiiyVixhgTiVKmTMk333zD3r176dWrl9vhPLakSeGtt5wxZGPGwN9/Q61aULAgTJ8OsWg4nDExkiVixhgTySpWrMgbb7zByJEjWblypdvhRIqECaFdO+fO2KRJcOMGNG4MefI4My5jeG1bY2IsS8SMMSYKDB48mFy5ctGiRQsueNGaQr6+0KyZU4ds1ixIlgxatYJcueCLL+DqVbcjNCZ2sUTMGGOiQJIkSZg0aRJHjx7lrbfecjucSOfjA/XqwaZN8OOPkDmzU/4iWzb45BO4eNHtCI2JHSwRM8aYKFKqVCm6d+/OhAkTWLhwodvhRAkRqFbNWcty1SoICIDu3SFrVvjgAzh79oGnMCZOs/IVxhgTha5fv07x4sX5+++/2bFjB2nSpHE7pCi3YQMMGADz5zuPLjt0gLffhv/7P7cjM8Y9Vr7CGGNckDBhQiZPnsyZM2fo2LGj2+FEi+LFYd482LYNataETz91Hll26gR//ul2dMbELJaIGWNMFCtQoAD9+vVj5syZzJgxw+1woo2/P0yb5qxd2aSJs5RSjhzO4P59+9yOzpiYwRIxY4yJBt27d6dEiRJ07NiRkydPuh1OtPjxxx/p2LEjTzxxhvHjYf9+5zHltGmQO7dT/mL7drejNMZdNkbMGGOiyR9//EGhQoVIkyYN+fLl46mnniJjxoy3/fnUU0+RPn164sWL53a4j2XmzJk0adKEoKAgsmTJwqxZsyhevDgAf/3lLJ00ahRcuuQUiO3Tx3mkaYy3sjFixhjjsmeeeYYZM2ZQpEgRzpw5w5IlSxgwYAAdO3akdu3aFCtWjIwZM5IsWTLef/99rl+/7nbIj2Ty5Mk0btyYkiVL8vPPP+Pj40OZMmX4/PPPUVXSp4dBg5zxYv36OTMuS5RwllBatcqWTzJxi90RM8YYFwUHB/PXX39x4sQJTpw4wfHjx1m1ahUzZ84kT548jB8/nmeffTba4/rll18YP348PXr0IH/+/BE+buzYsbRv354KFSowf/58kiZNyr///kvz5s354YcfqF+/PuPHjydFihShx1y86Cyf9Omnzt2yZ5917pBVq2YLjBvvca87YqhqrHwVKVJEjTHGWy1evFizZs2qIqKvv/66nj9/PtquvXz5ck2cOLECGj9+fO3evbteunTpgceNHDlSAX3xxRf1ypUrt20LDg7WwYMHa7x48TRXrly6devWu46/ckX1iy9Us2RRBdVChVRnzVINDo60rhnjGiBQw8lnXE+oHvVliZgxxttdvHhRu3TpoiKiGTNm1AULFkT5NZcsWaKJEiVSf39/3bVrl7Zs2VIBzZIli86bN++exw0ZMkQBrVOnjl67du2e+/3yyy+aIUMGTZQokU6YMCHcfW7cUJ0wQTVXLud/qdy5VSdNctqNia0sETPGmFhq3bp1mj9/fgW0QYMGeurUqSi5zuLFizVhwoRaoEABPX36dGj76tWrQ69fs2ZNPXz4cOi2kJAQ/fDDDxXQRo0a6Y0IZEunTp3S8uXLK6AtWrS4592+oCDV6dNVAwKc/638/FRHj1a9evXx+2pMdLNEzBhjYrHr169r//79NUGCBJo6dWr94IMPdOXKlRF6ZBgRixYt0gQJEmihQoX0n3/+uWv7jRs3dMiQIZokSRJNnDixDho0SK9fv669evVSQJs3b65BQUERvl5QUJD26dNHAU2SJIm2bNlSf/vtNw0JCblr35AQ1QULVEuUcP7XypBB9dNPVSOp68ZEC0vEjDHGC+zevVsrVKiggAIaL148LVy4sL7xxhs6depUPXToULjJzP0sWLBAfX19tUiRInrmzJn77nvkyBGtU6eOApo+fXoFtF27dhr8iAO5AgMDtVWrVpo0aVIF1N/fX0eOHKlnz569a9+QENXly1XLl3f+90qTRvWjj1T//feRLm1MtLpXImazJo0xJhY6e/Ys69evZ+3ataxdu5b169dz+fJlAP7v//6P0qVLU7FiRSpXrkyOHDnueZ758+dTv359ChYsyJIlS0idOnWErr9w4UK6d+9OjRo1GDx4MPKY0xsvXLjA9OnTGTt2LJs2bSJRokTUr1+fNm3aUKZMmbvO/9tv8PHHsGgRpEgBr78Ob70F6dI9VhjGRJl7zZq0RMwYY7xAUFAQO3bsCE3MVq9ezZ+ehR2zZctGpUqVqFy5MhUqVAhNtubMmUPDhg0pUqQIP/30E6lSpXKxB//5/fffGTduHFOmTOHixYuUKlWKn3766baSF7ds2QIDB8KsWZAoEbRtC++8A5kyRX/cxtyPJWLGGBOHqCr79u1j2bJlLFu2jJ9//pmLFy/i4+NDsWLFKFKkCF999RXFixe/Z5LjtsuXLzN58mQ6depE+fLlWbRoEQkSJAh33z17nCKxU6aAjw+89hr06OGsbWlMTGCJmDHGxGE3b95kw4YNLFu2jKVLl7JhwwZKly7NwoULSZ48udvh3dfEiRNp0aIFzZo1Y+LEifd9DHr4MAwZAhMmwM2bznqWvXpBvnzRF68x4bFEzBhjTKirV6+SKFGixx7bFV0++ugj+vbty7vvvstHH330wP1PnnQq9Y8ZA5cvQ926TrX+IkWiIVhjwmFrTRpjjAmVOHHiWJOEAbz77ru0bt2a/v37M3bs2AfunyEDDB0KR45AkyYHWbr0JkWLQtWqztqWxsQUlogZY4yJ8USE0aNH8+KLL9KhQwcWLlz4wGP+/PNP2rR5ialTc3D5chpq1fqNzZvhueec15IltsC4cZ8lYsYYY2KF+PHjM2PGDAoVKkTDhg3ZsGFDuPvduHGDwYMHkydPHpYsWcLAgQOpXbsCCxY8S6dOnzJiBBw65NwdK1YM5s6FkJBo7owxHpaIGWOMiTWSJUvGokWLSJ8+PTVq1ODAgQO3bV+1ahUFCxakZ8+eVK5cmV27dtGzZ09mzZpF48aN6dv3HU6ffo/9+5Vx4+DcOXjpJQgIgKlTISjInX6ZuMsSMWOMMbFK+vTp+emnnwgJCaFq1aqcPn2aU6dO8eqrr1K+fHmuXr3KDz/8wNy5c8maNSsAvr6+fPvtt7Rq1Yr+/fvTq1dXWrVS9uxxEjCApk0hd24YNw6uX3exgyZOsUTMGGNMrPP000+zYMECjh07xvPPP0/u3LmZMWMG7777Ljt37qRGjRp3HRMvXjzGjh3Lm2++ybBhw2jfvj0+PiG88gps2+Y8okyd2ikKmyMHjBgBV6640DkTp1giZowxJlZ69tlnmTZtGn/88QdFixZl+/btfPTRRyRJkuSex/j4+DB8+HB69erF2LFjad68OUFBQfj4QJ06sGGDM4g/Rw7o0gX8/JzK/RcuRFevTFxjdcSMMcbEav/++y+pUqV66HIcAwYMoE+fPtStW5fvvvuOhAkT3rZ9zRpnPcuffoKUKaFTJ+jcGdKmjczoTVzxyHXERCSziKwUkV0islNEOnvaPxGRPSKyTUTmikiqMMf0EpH9IvKHiFQJ017V07ZfRHqGac8mIus97TNEJPw1LIwxxpg7pE6d+pFqovXu3Zvhw4czd+5c6tSpw5kzZ27bXqYMLF4MgYFQsSL07+/cIevaFU6ciKTgTZwXkUeTQUBXVc0LlAReF5G8wDIgv6oGAHuBXgCebY2AfEBV4EsRiSci8YBRQDUgL9DYsy/AYGCYquYE/gVaRVYHjTHGmHvp3Lkz48aNY+nSpWTPnp2PPvqIixcv3rZPkSLw/fewc6dToX/ECMiWDTp0cJZUMuZxPDARU9WTqrrZ8/4isBvIqKpLVfXWRN91wK217msD01X1uqoeAvYDxT2v/ap6UFVvANOB2uL8GlMBmO05fhJQJ1J6Z4wxxjxA69at2bZtGxUrVqRv375kz56dYcOGce3atdv2y5sXvv0W9u51FhWfMAFy5oTmzZ1Fx415FA81WF9E/IBCwPo7NrUEFnveZwSOhtl2zNN2r/Y0wLkwSd2tdmOMMSZa5MuXjzlz5rBhwwYKFizI22+/Ta5cuRg/fjxBdxQXy54dvvoKDh50xo3NmuUkafXrw++/u9QBE2tFOBETkWTA90AXVb0Qpr0PzuPLqZEf3l0xtBWRQBEJPH36dFRfzhhjTBxTrFgxli1bxooVK8iYMSNt2rQhX758zJgxg5A7yu9nzAjDhjnrWfbqBUuXQuHCUL06rF3rUgdMrBOhRExEfHGSsKmqOidM+2tADaCJ/jf98jiQOczhmTxt92o/A6QSkfh3tN9FVceqalFVLZouXbqIhG6MMcY8tAoVKvDbb78xf/58EiRIQKNGjWjWrFm4+6ZL58yuPHLEGdC/fj2ULg3ly8Py5baepbm/iMyaFOBrYLeqfhamvSrQHailqmFL3i0AGolIQhHJBuQCNgAbgVyeGZIJcAb0L/AkcCuBep7jmwPzH79rxhhjzKMTEWrVqsWWLVvo2rUrU6dOZf36O0fm/CdVKujTx0nIPvvMGUtWqRKULAkLFlhCZsL3wDpiIlIGWA1sB27dl+0NjAQS4tzRAlinqu09x/TBGTcWhPMoc7Gn/UVgOBAPmKCqH3vas+MM3n8C+B1oqqr3XWDC6ogZY4yJLhcvXiRHjhz4+/uzYsWKCB1z/TpMnAiDBzuLjPv7Q+/ezliyePGiNl4T89yrjpgVdDXGGGMiYMSIEXTp0oXly5dTsWLFCB8XFATffedU6N+9G3Llgp49nbUtE1jVzDjjkQu6GmOMMQbat29P5syZ6d27Nw9zEyN+fHj1VdixA2bPhmTJoFUrJyH74gu4ejUKgzYxniVixhhjTAQkTJiQfv36sWHDBubNm/fQx/v4wMsvw6ZN8OOPkDmzU/4iWzb45BO4o46siSPs0aQxxhgTQUFBQfj7++Pj48O2bduI9xiDvVThf/9zZlwuWwapUztrWXbqBE88EYlBmxjBHk0aY4wxjyl+/Ph89NFH7Nq1iylTpjzWuUSgXDmn/tj69fDcc9CvH2TNCj16wF9/RU7MJmazO2LGGGPMQ1BVihUrxj///MMff/xBwoQJI+3c27c7g/pnzHAG8rduDd26QZYskXYJ4xK7I2aMMcZEAhHh448/5siRI4wbNy5Sz+3vD9OmOWtXNmniLKWUIwe0bOnUJTPexxIxY4wx5iFVrlyZcuXK0b9/fy5fvhzp58+VC8aPh/37oUMHp/xFnjzQqBFs2xbplzMuskTMGGOMeUgiwsCBA/nrr78YMWJElF0nSxYYORIOH3YeUS5aBAUKQK1azrgyN4SEhLBmzRquWt2NSGGJmDHGGPMISpUqRc2aNRkyZAhnz56N0mulTw+DBsGff8IHH8CvvzpLJ73wAqxaFX3LJ61Zs4YSJUpQtmxZAgICWLlyZfRc2ItZImaMMcY8ov79+3PhwgWGDBkSLddLnRr69nXukH3yiVMktnx5KFPGqU0WVQnZoUOHaNCgAWXLluXkyZMMGjQIVaVChQq0bt2af//9N2ouHAdYImaMMcY8ooCAABo3bszIkSM5efJktF03eXJ45x1nDcsvvoBjx6B6dShcGGbNguDgyLnOhQsX6NWrF3ny5GHRokX069ePP/74gx49erBt2zZ69OjBxIkTyZMnDzNnzozwigOqypkzZx68YxxgiZgxxhjzGD788ENu3rxJ//79o/Q6W7ZsIWfOnOTKlYu3336blStXEj/+TV5/3RnUP2ECXLkCDRpA/vwweTLcvPlo1woODmb8+PE8/fTTDBo0iAYNGvDHH3/w/vvvkzRpUgCSJEnCoEGD2LhxI5kyZaJhw4bUqlWLo0ePhnvOI0eOMGHCBF555RUyZMhA2rRpady4Mf/888+jfkm8g6rGyleRIkXUGGOMiQnat2+v8ePH12XLlkXJ+VesWKHJkyfXzJkza9WqVTVBggQKaMqUKbVhw4Y6ZcoUPXPmjAYFqc6YoRoQoAqqfn6qo0erXr0a8WutWbNGCxQooIA+++yzumHDhgcec/PmTR06dKgmSZJEkyVLpiNHjtS///5bZ82ape3atdOcOXMqoICmT59emzRpol26dFFfX1998skndc6cOY/x1YkdgEANJ59xPaF61JclYsYYY2KKv//+W/Pnz6/x48fXyZMnR+q5Z8yYoQkSJNB8+fLp0aNHVVX14sWLOmfOHG3ZsqU++eSTCqiPj4+WLVtWR44cqVeuXNUfflAtWdL5nz5DBtVPP1W9dOne17l27Zp2795dRUSzZMmiM2bM0JCQkIeK9eDBg1q5cuXQpAvQ5MmTa82aNXX48OG6Y8eO2865detWLVSokALaqFEjPX369CN9jWIDS8SMMcaYKHTu3DmtUKGCAtq/f/+HTmLCM3LkSBURLVOmjJ49ezbcfYKDg3XdunXap08fDQgIUECzZcums2fP1uDgEF2xQrV8eed//DRpVD/6SPXff28/x9atW0OPbdOmjV64cOGRYw4JCdGZM2fqxx9/rL/++qveuHHjvvvfuHFDP/zwQ6+/O2aJmDHGGBPFrl+/rk2bNg1NaG7evPlI5wkJCdHevXsroHXq1NErV65E+Nhly5Zp/vz5FdDnnntON2/erKqqa9eqVq/u/M+fIoVqr16qJ08G6eDBgzVBggSaPn16/eGHHx4p3sjg7XfHLBEzxhhjokHYJOrFF1/UixcvPtTxN2/e1BYtWiig7dq106CgoIeO4ebNmzpmzBhNmzatioi2bNlST548qaqqv/+u2qCBqkiI+vhcVRimVau21r///vuhrxPZ7rw7Nm/ePLdDijSWiBljjDHR6KuvvlIfHx8tUqRIaBL0IJcvX9bq1asroP369Xvsx5v//vuvdu3aVX19fTVZsmQ6cOBAvXr1qo4fP16TJCmsvr5T1McnWH19Q7RNG9X9+x/rcpFm69atWrBgQQW0S5cuev36dbdDemyWiBljjDHRbOHChZokSRL18/PT3bt337X95s2bevToUV23bp3Onj1bS5YsqT4+Pjp69OhIjWPv3r1au3ZtBTRFihQKaIUKFfTIkSN66JBqhw6qCROq+vioNmmiumNHpF7+kVy7dk07deqkgBYrVkwPHTrkdkiP5V6JmDjbYp+iRYtqYGCg22EYY4wx9xUYGEj16tW5efMmr7zyCidPnuTYsWMcO3aMU6dOERISErpv4sSJmTp1KnXr1o2SWFasWMHAgQOpWbMmnTp1wsfnv3KiJ0/Cp5/CmDFw+TLUrQt9+kCRIlESSoTNmTOHli1bIiJ888031KlTx92AHpGIbFLVone1WyJmjDHGRK2DBw/y0ksvcejQITJlykTGjBnD/TNbtmykTJnS1VjPnIERI+Dzz+HcOahSxUnIypZ1L6aDBw/SoEEDNm3axFtvvcWgQYNIkCCBewE9AkvEjDHGGBNhFy7Al1/CZ5/B6dNOItanD1SuDCLRH8/169fp1q0bn3/+OcWLF2fGjBn4+flFfyCPyBIxY4wxxjy0K1dg/HhnkfFjx5xHlX36QO3a4OPCQonff/89LVu2xMfHh1GjRpEzZ06uXbvG1atXuXr1auj7a9eucf36dapUqUKePHmiP9A7WCJmjDHGmEd244azfuWgQXDgAOTLB716QcOGED9+9MZy4MABGjZsyKZNmx64b/Lkyfnpp5949tlnoyGye7NEzBhjjDGPLSgIZs6EAQNg507IkQN69IBmzSBhwuiL4/r16yxfvhxwJjkkSpSIxIkT3/b+woULVK9enRMnTrBo0SLKlSsXfQHewRIxY4wxxkSakBBYsAA+/hgCAyFjRujWDdq0gSRJ3I7uPydPnqRixYocPnyYBQsW8MILL7gSx70SMRee7hpjjDEmtvPxgTp1YMMGWLLEuTPWpQv4+cHAgXD+vMsBemTIkIFVq1aRM2dOatSoweLFi90O6TaWiBljjDHmkYk4Myl/+QVWr3YG8/fuDVmzwnvvwT//uB0hPPnkk6xcuZK8efNSp04dFixY4HZIoSwRM8YYY0ykKFMGFi92HlW+8AL07+8kZF27wokT7saWJk0aVqxYQcGCBXn55ZeZPXu2uwF5WCJmjDHGmEhVpAjMnu0M5n/pJadAbLZs0KEDHD7sXlypU6dm2bJlFC9enEaNGjFt2jT3gvGwRMwYY4wxUSJvXvj2W9i7F157DSZMgJw5oXlz2LPHnZhSpEjBkiVLKFOmDE2bNmXSpEnuBOJhiZgxxhhjolT27PDVV3DwIHTqBLNmOUla/frw++/RH0+yZMn48ccfqVixIi1atGD37t3RH4THAxMxEcksIitFZJeI7BSRzp72J0RkmYjs8/yZ2tMuIjJSRPaLyDYRKRzmXM09++8TkeZh2ouIyHbPMSNF3Fg8wRhjjDFRKWNGGDYMjhxxisEuXQqFC0P16rB2bfTGkiRJEn744Qe+//57VyvvR+SOWBDQVVXzAiWB10UkL9ATWKGquYAVnr8DVANyeV5tgdHgJG7A+0AJoDjw/q3kzbNPmzDHVX38rhljjDEmJkqXzqk/duSIM6B//XooXRrKl4flyyG6SpwmSpSIunXrRs/F7uGBiZiqnlTVzZ73F4HdQEagNnDrweokoI7nfW1gsjrWAalEJANQBVimqmdV9V9gGVDVsy2Fqq5Tp7rs5DDnMsYYY4yXSpXKWbfyyBFncfG9e6FSJShZ0ikWG0trzj+UhxojJiJ+QCFgPZBeVU96Np0C0nveZwSOhjnsmKftfu3HwmkP7/ptRSRQRAJPnz79MKEbY4wxJoZKmhTeessZQzZmDJw+7SwqXqAATJ8OwcFuRxh1IpyIiUgy4Hugi6peCLvNcycryvNWVR2rqkVVtWi6dOmi+nLGGGOMiUYJE0K7ds6dscmTnXUtGzeGPHmcGZc3brgdYeSLUCImIr44SdhUVZ3jaf7L81gRz59/e9qPA5nDHJ7J03a/9kzhtBtjjDEmDoofH159FXbscOqRJUsGrVpBrlzwxRdw9arbEUaeiMyaFOBrYLeqfhZm0wLg1szH5sD8MO3NPLMnSwLnPY8wlwCVRSS1Z5B+ZWCJZ9sFESnpuVazMOcyxhhjTBzl4wMvvwybNsGPP0LmzE75i2zZYMgQuHjR7QgfX0TuiJUGXgUqiMgWz+tFYBBQSUT2AS94/g7wI3AQ2A+MAzoCqOpZ4CNgo+f1oacNzz7jPcccAGLWipzGGGOMcY0IVKvmrGW5ahUEBECPHs7ySR98AGfPPvAUMZZoLJ2SULRoUQ0MDHQ7DGOMMca4YMMGGDAA5s93Hl127Ahvvw3p0z/4WDeIyCZVLXpnu1XWN8YYY0ysU7w4zJsH27ZBzZowdCj4+TmPLv/80+3oIs4SMWOMMcbEWv7+MG2as3ZlkybOUko5ckDLls7sy5jOEjFjjDHGxHq5csH48XDgAHToAN9955S9aNTIuWsWU1kiZowxxhivkTkzjBwJhw9Dt26waJFTGLZWLWcppZjGEjFjjDHGeJ306WHQIGe82AcfwK+/OksnvfACrFwZc5ZPskTMGGOMMV4rdWro29e5Q/bJJ7BzJ1So4CwyvmiR+wmZJWLGGGOM8XrJk8M778ChQzBqFBw/DjVqQOHCTpLmFkvEjDHGGBNnJErk1Bzbvx+++QbSpoWnnnIvHkvEjDHGGBPn+PrCa6/BsmWQIIF7cVgiZowxxhjjEkvEjDHGGGNcYomYMcYYY4xLLBEzxhhjjHGJJWLGGGOMMS6xRMwYY4wxxiWWiBljjDHGuMQSMWOMMcYYl1giZowxxhjjEkvEjDHGGGNcIur2suOPSEROA0ei+DJpgX+i+BoxhfXVe8Wl/lpfvZP11XvFpf5mVdV0dzbG2kQsOohIoKoWdTuO6GB99V5xqb/WV+9kffVeca2/4bFHk8YYY4wxLrFEzBhjjDHGJZaI3d9YtwOIRtZX7xWX+mt99U7WV+8V1/p7FxsjZowxxhjjErsjZowxxhjjEkvEjDHGGGNcYomYMcYYY4xLLBEzxhhjjHFJfLcDiElERIDiQEZP03Fgg3rhjAYRyQ3U5va+LlDV3e5FFTVEpApQh9v7Ol9Vf3ItqCgSl76vACKSEqjK7f1doqrnXAsqCohIfKAVUBd4ytN8HJgPfK2qN92KLbJZX72zrxB3Pq8Py2ZNeohIZeBLYB/OPw6ATEBOoKOqLnUrtsgmIj2AxsB04JinORPQCJiuqoPcii2yichw4GlgMrf3tRmwT1U7uxRapItL31cAEWkGvA8s5fbPbCXgA1Wd7FZskU1EvgPOAZO4/XvbHHhCVRu6FFqks756bV/jzOf1YVki5iEiu4Fqqnr4jvZswI+qmseVwKKAiOwF8t3525aIJAB2qmoudyKLfCKyV1WfDqddgL3e1lfiyPcVQET+AErc+du0iKQG1of3fY+t7vXv+EHbYiPr64O3xUZx6fP6sGyM2H/i899vJGEdB3yjOZaoFsJ/t8HDyuDZ5k2uiUixcNqLAdeiO5goFpe+rwAChPebZIhnmzc5KyL1RST0Z7aI+IhIQ+BfF+OKCtZX7+xrXPq8PhQbI/afCcBGEZkOHPW0ZcZ5rPO1a1FFjS7AChHZx399zYLzGPYNt4KKIq8Bo0UkOf8l2pmB855t3qQLcef7CvAxsFlElnJ7fysBH7kWVdRoBAwGvhSRW/9BpwJWerZ5E+urd/Y1Ln1eH4o9mgxDRPICtbh7oPMu96KKGp7fwO6cmLBRVYPdiyrqiMj/EaavqnrKzXiiShz8vqYGqnD34F9vu5sQSkTSAKjqGbdjiWrWV+8SFz+vEWGJmIkTRMQ3nLFTaVX1H7diMuZhiEgKIJ2qHrijPUBVt7kUVpSwvnpnX034bIyYh4ikEJGBIvKtiDS+Y9uXbsUVFUQkQETWichRERnr+S3l1rYNbsYW2USkvIgcA06KyFIR8Quz2WtmwkLc+r4CiEhmEZkuIqtFpLeI+IbZNs/F0CKdiDQA9gDfi8jOO8Y9TnQnqqhhfQ010Z2ookZc+rw+LEvE/vMNzoDB74HGIvK9iCT0bCvpXlhR4kugH+AP7AXWiEgOzzZvm5gwBKiiqmmBscAyEbn1/fS2AaJx6fsKzrjOVUAnnAkJv9x6vANkdSuoKNIbKKKqBYEWwLciUtezzdv+HVtfHd7W17j0eX0oNlj/PzlU9WXP+3ki0gf4WURquRlUFEkeppjpUBHZBPwkIq8S/qyW2CyBqu4EUNXZnjIlczw1t7ytr3Hp+wrO45wxnvedRKQp8D/PZ9bb+htPVU8CqOoGESkPLBSRzFhfY7O41Ne49Hl9KJaI/SehiPioagiAqn4sIseB/wHJ3A0t8olISlU9D6CqK0XkZZy7gU+4G1mkuyki/3drcL6q7hSRisBCIMf9D4194tD3FcBXRBKp6jUAVZ0iIqeAJUBSd0OLdBdFJMetcUSqelJEngfmAflcjCsqWF+9s69x6fP6UOzR5H9+ACqEbVDViUBX4IYbAUWhwcBtBWo9g0IrAnNciSjq9ATSh21Q1WNAOcCrKs0Tt76vAOOBEmEbVHU5UB/Y4UpEUacDdzyqUtWLOMvFtHQloqhjffXOvsalz+tDsVmTHiJSCljnjetK3klEegOLVfV3t2OJaiIyFlgMLPf8gPNacen7CuCZVLPUm6f73yIiS4CfcL6/e9yOJypZX71TXPq8PixLxDxEZDROtr4X54PxkxfXmmoIVAMKAFtxEpWl3ljLRURK4PS1Is6dzaU439utrgYWBeLS9xVC19asgjMRYQVOfzd44y9Tnjp4VT2vp4H1OD+nlqvqZTdji2zWV6/ta5z5vD4sS8TuICK5cf4zqwKkxKlw/BPwqzcWxRSRQjg/BCoD8YDlOImKN5Y7SIPTz2o4Mwt/x+nrTFcDiwJx7PuaHHgBp7/Fgd04n9klqvqXm7FFBU/R3rC/YFzFSbiHuBpYFLC+el9f49rnNSIsEbsPEUkMlMf5YJRS1aIuhxSlPIUFK+GUe2jrdjxRTUSKAFVV9WO3Y4lKcfD7mhfnM1tZVau4HU9UE5G0ON/bqW7HEtWsr94nrn1ew2OJmIeIpLpzVfi4REQmq2ozt+OITiLSQlW/cTuOyCIiCXDWpzuhqstF5BXgWZzfOMfeubKAtxGRZDiPdw5642dZRKoAmYAVqno4THtLVZ3gWmBRwFPG4WWcdWGDcYaMjLuz+nxs56kZ9ouqnhWRJ4GhQCFgF9DVM7HIq4itcnIXS8Q8RCQIp9jcd8D33viD/BYRWXBnE86dv58BVNUba6fdRUT+VNUsbscRWURkKk5JmiTAOZyyK3NwHnOIqjZ3L7rIJyJfqmpHz/sywDTgAM4i5+1U9Uc344tMIjIAKANsBmoCw1X1c8+2zapa2M34IpOIDAT+D2ccUR3gEE4i1hEYoKqz3IsuconILlXN63k/A1gHzMJ5dNdEVSu5GV9k8iTX3wKJcP4dt731C4W3/Rt+WJaIeYjIdqAX0Bjn2fUanKRsvqpedTO2yCYim3F+4xqPU0hPcPraCEBVf3EvusglIvdaq02Ap1U14T22xzoisk1VA0QkPs5iuk+parCICLBVVQNcDjFShf3hLSIrce4gbBaR7MBMbxpK4Pn5VEhVg0QkFU7S+YeqviUiv6tqIXcjjDwisl1V/T3v4+PcMSotzpJdq1U1v7sRRh4R+UNVn/G836SqRcJs26JOxX2vICIbgdc8tRzrAQOBV1V1nbf9G35YVkfsPzdVdaGqNsG5/T8VaAAcE5Fp7oYW6YoCm4A+wHlVXQVcVdVfvCkJ80gPNMO5i3Dny9umUft4Hk8mx7krltLTnhDvXOIorBSquhlAVQ/ifT/b4qtqEIDnbn1NIIWIzAISuBlYFAgRkVsFiJ/CmWyCZ/avty37s0pEPvSMR17leVR56+7ReXdDi3S3rXKCc7dzkojUwSrrG4/QD7jnDthMYKaIpMT5B+M11Fk9YJjnh/gwEfkL7/23sBBIpqpb7twgIquiPZqo9TXOAsLxcJLsWSJyEGet1OluBhZFcnvueArgJyKpVfVfz+wzb0tODohIuVu/KHlmcLcSkf44Y6m8yQDgdxHZCzyDU/QUEUmHU5bFm7yB81n9w/P3t0TkMk6B8VddiypqxKlVTh6GPZr0EJF3VHWo23G4QUSqA6VVtbfbsZjHIyJPAajqCc8jrBeAP720bMWdCwWfVNUbntlmz6mq16wm4LljcuuXxDu3ZVTV49EfVdTx3BHLDuz35vG6YXl+6Y/vrQVPReQF4PSdNRw9/X7D22ev348lYh5xrSr5vYhIMlW95HYcxjyIiHzFf8UvvXrVhPsRkdzeXpX9Fm/ta1yYSRiXVjl5WN42juJxHAA6i8jvIjJRRBp6BofGNbvcDiAyiUiAiKwTkaMiMjbs91REvOouUVzqq8cEnFUEfhSRFSLSQ0QKuB2UC5a6HUA08qq+ikh5ETkGnBSRpSLiF2azV/UVZ+iEfV7DYXfEwiH/VSWvhDN2yquqkovI2/faBPRR1SfusT3WEZE1QH+caeGtgRZALVU94G0zdeJSX+8kXr5qgoiMvNcmoLmqpojOeKJSHOtrnJxJGObzWhUIwMs+rw/LWwdoPxbP48nfRSQP8DrOP5jWgFckYjiDYT8BgsLZ5m13SZOr6k+e90NFZBPwk4i8ivfN1IlLfb2Nqp4RkaM4g7mnAv/g/JD3Fi2ArsD1cLY1juZYolpc6uttMwlFZDcwR5x1Gb3qMyvOur+7VfUCcAXIA6TBufM3C2dZwTjJ7oh5yN1FTgEq4IVFTkVkLdBJVTeFs+2oqmZ2IawoISJbcQZunw/TFgB8DzyhqmlcCy6SxaW+gvO4VVWLe963wSn4OQ/nF6cfVHWQi+FFKhH5GXhXVdeGs+2QqmZzIawoEcf6GgjUuDWT0NOWCc9MQlVN7lpwkUxEdgIFPLXwxuIkY7NxCk4XUNWXXA3QRZaIeUjcKnL6DHAmvIGgIpJevWjhVXGW+TmoquvuaM8CvKeqbdyJLPLFpb4ChH1043nE86KqnhaRpMC6W0VBvYFnFuFVbysuHZ441tc4M5NQRHarah7P+9sq6YuXFa99WN72GOpxxKUipy/hrOF2F29Kwjz8COcRh6r+6W2JCXGrr+AUsE3tGW8iqnoaQFUvE/5j99hsIFBVRLzmDsl9xKW+NgCy39lXVT3vTUmYxw4RaeF5v1VEigKIyNOAV6+D+yB2R+wOntvCw4C/cAY6e81ahLeISEOcQc0FcMbULAaWeipXexXrq3f2FUBEDgMhOHevFacW3klxFv9e402/YXvG11TDeYxzA2dczU933knxBtZXr+1rSmAEUBZnDGdh4Kjn9aY39jmiLBG7h7hS5NTbZ4iGZX31zr7eSUSSAOlV9ZDbsUQFb58hGpb11fv6KiIpgGw4P5eOeeFTmIdmiZgBQEQm898M0Sqq2tblkKKM9dXEdiJSBigB7MAzQ9QLH2UB1ldv7av5jyVicVAcmyFqffXCvsY1cWyGqPXVC/tq7s0SsTgojs0Qtb56YV/jmjg2Q9T66oV9Nfdmsybjprg0Q9T66p19jWvi0gxR66t39tXcg1XWj4NUNQQYJiKzPH/+hZf+W7C+emdf46CUOEm2ACoiGcLMEBV3Q4t01lfv7Ku5B/shHYep6jGgvmeG6AW344lK1lcTm6mq3z02hQB1ozGUKGd9Bbywr+bebIyYMcYYY4xLbIyYMcYYY4xLLBEzxhhjjHGJJWLGGGOMMS6xRMwYY4wxxiWWiBljjDHGuOT/Ac0J57cgP0WuAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# First Decline\n", "\n", "plt.rcParams['figure.figsize'] = [10, 5]\n", "\n", "fig, ax1 = plt.subplots(ncols=1)\n", "\n", "best_fit_vals, r_squared = get_best_fit(first_decline_cases, linear)\n", "ax1.plot(first_decline_dates, first_decline_cases, color='k')\n", "ax1.plot(first_decline_dates, best_fit_vals, color='b')\n", "\n", "ax1.legend([\"7 day average of daily cases\", \"linear best fit\"])\n", "ax1.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "ticks = list(first_decline_dates)[::7]\n", "ax1.set_xticks(ticks)\n", "ax1.set_xticklabels(ticks, rotation=90)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/anniebryan/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:4: RuntimeWarning: overflow encountered in exp\n", " after removing the cwd from sys.path.\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Second Wave\n", "\n", "plt.rcParams['figure.figsize'] = [15, 5]\n", "\n", "fig, (ax1, ax2, ax3) = plt.subplots(ncols=3)\n", "\n", "best_fit_vals, r_squared = get_best_fit(second_wave_cases, logistic)\n", "ax1.plot(second_wave_dates, second_wave_cases, color='k')\n", "ax1.plot(second_wave_dates, best_fit_vals, color='b')\n", "\n", "ax1.legend([\"7 day average of daily cases\", \"logistic best fit\"])\n", "ax1.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "best_fit_vals, r_squared = get_best_fit(second_wave_cases, parabola)\n", "ax2.plot(second_wave_dates, second_wave_cases, color='k')\n", "ax2.plot(second_wave_dates, best_fit_vals, color='b')\n", "\n", "ax2.legend([\"7 day average of daily cases\", \"parabolic best fit\"])\n", "ax2.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "best_fit_vals, r_squared = get_best_fit(second_wave_cases, linear)\n", "ax3.plot(second_wave_dates, second_wave_cases, color='k')\n", "ax3.plot(second_wave_dates, best_fit_vals, color='b')\n", "\n", "ax3.legend([\"7 day average of daily cases\", \"linear best fit\"])\n", "ax3.set_title(\"R2: \" + str(format(r_squared, '.3f')))\n", "\n", "ticks = list(second_wave_dates)[::7]\n", "ax1.set_xticks(ticks)\n", "ax1.set_xticklabels(ticks, rotation=90)\n", "ax2.set_xticks(ticks)\n", "ax2.set_xticklabels(ticks, rotation=90)\n", "ax3.set_xticks(ticks)\n", "ax3.set_xticklabels(ticks, rotation=90)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analyzing the effects of a state-mandated stay-at-home order" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Null Hypothesis:** Stay-at-home policies do not slow the rate of spread of the COVID-19 virus.
\n", "**Alternative Hypothesis:** Stay-at-home policies slow the rate of spread of the COVID-19 virus.
\n", "**Significance Level:** $\\alpha$ = 0.05" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "States that did not implement a stay at home order:\n", "
    \n", "
  • Arkansas
  • \n", "
  • Iowa
  • \n", "
  • Nebraska
  • \n", "
  • North Dakota
  • \n", "
  • South Dakota
  • \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### \\#TODO calculate each of the following\n", "growth rate before policy
\n", "growth rate during policy
\n", "growth rate after policy
" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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StateDate EnactedDate Lifted
0Alabama4/4/204/30/20
1Alaska3/28/204/24/20
2Arizona3/31/205/15/20
3California3/19/205/7/20
4Colorado3/26/204/27/20
5Connecticut3/23/205/20/20
6Delaware3/24/206/1/20
7District of Columbia4/1/205/29/20
8Florida4/3/205/4/20
9Georgia4/3/204/24/20
10Hawaii3/25/205/7/20
11Idaho3/25/205/1/20
12Illinois3/21/205/29/20
13Indiana3/24/205/4/20
14Kansas3/30/205/4/20
15Kentucky3/26/205/20/20
16Louisiana3/23/205/15/20
17Maine4/2/205/1/20
18Maryland3/30/205/15/20
19Massachusetts3/24/205/18/20
20Michigan3/24/206/1/20
21Minnesota3/27/205/18/20
22Mississippi4/3/204/27/20
23Missouri4/6/205/4/20
24Montana3/28/204/26/20
25Nevada4/1/205/9/20
26New Hampshire3/27/205/11/20
27New Jersey3/21/206/9/20
28New Mexico3/24/205/16/20
29New York3/22/205/29/20
30North Carolina3/30/205/8/20
31Ohio3/23/205/12/20
32Oklahoma3/28/204/24/20
33Oregon3/23/205/15/20
34Pennsylvania4/1/205/15/20
35Rhode Island3/28/205/9/20
36South Carolina4/7/204/20/20
37Tennessee3/31/204/27/20
38Texas4/2/204/30/20
39Utah3/30/205/1/20
40Vermont5/25/205/15/20
41Virginia3/30/205/15/20
42Washington3/23/205/26/20
43West Virginia3/24/205/4/20
44Wisconsin3/25/205/13/20
45Wyoming3/28/205/1/20
\n", "
" ], "text/plain": [ " State Date Enacted Date Lifted\n", "0 Alabama 4/4/20 4/30/20\n", "1 Alaska 3/28/20 4/24/20\n", "2 Arizona 3/31/20 5/15/20\n", "3 California 3/19/20 5/7/20\n", "4 Colorado 3/26/20 4/27/20\n", "5 Connecticut 3/23/20 5/20/20\n", "6 Delaware 3/24/20 6/1/20\n", "7 District of Columbia 4/1/20 5/29/20\n", "8 Florida 4/3/20 5/4/20\n", "9 Georgia 4/3/20 4/24/20\n", "10 Hawaii 3/25/20 5/7/20\n", "11 Idaho 3/25/20 5/1/20\n", "12 Illinois 3/21/20 5/29/20\n", "13 Indiana 3/24/20 5/4/20\n", "14 Kansas 3/30/20 5/4/20\n", "15 Kentucky 3/26/20 5/20/20\n", "16 Louisiana 3/23/20 5/15/20\n", "17 Maine 4/2/20 5/1/20\n", "18 Maryland 3/30/20 5/15/20\n", "19 Massachusetts 3/24/20 5/18/20\n", "20 Michigan 3/24/20 6/1/20\n", "21 Minnesota 3/27/20 5/18/20\n", "22 Mississippi 4/3/20 4/27/20\n", "23 Missouri 4/6/20 5/4/20\n", "24 Montana 3/28/20 4/26/20\n", "25 Nevada 4/1/20 5/9/20\n", "26 New Hampshire 3/27/20 5/11/20\n", "27 New Jersey 3/21/20 6/9/20\n", "28 New Mexico 3/24/20 5/16/20\n", "29 New York 3/22/20 5/29/20\n", "30 North Carolina 3/30/20 5/8/20\n", "31 Ohio 3/23/20 5/12/20\n", "32 Oklahoma 3/28/20 4/24/20\n", "33 Oregon 3/23/20 5/15/20\n", "34 Pennsylvania 4/1/20 5/15/20\n", "35 Rhode Island 3/28/20 5/9/20\n", "36 South Carolina 4/7/20 4/20/20\n", "37 Tennessee 3/31/20 4/27/20\n", "38 Texas 4/2/20 4/30/20\n", "39 Utah 3/30/20 5/1/20\n", "40 Vermont 5/25/20 5/15/20\n", "41 Virginia 3/30/20 5/15/20\n", "42 Washington 3/23/20 5/26/20\n", "43 West Virginia 3/24/20 5/4/20\n", "44 Wisconsin 3/25/20 5/13/20\n", "45 Wyoming 3/28/20 5/1/20" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# reading in CSV file as pandas dataframe\n", "stay_at_home_df = pd.read_csv(open('stay-at-home-orders.csv'))\n", "states = set(stay_at_home_df['State'])\n", "stay_at_home_df" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Province_State1/22/201/23/201/24/201/25/201/26/201/27/201/28/201/29/201/30/20...7/23/207/24/207/25/207/26/207/27/207/28/207/29/207/30/207/31/208/1/20
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2Arizona000011111...152944156301160041162014163827165934168273170798174010177002
3California000022222...430773440185446452452288458121470762484913492934500556506613
4Colorado000000000...42295429624377144318445474529645778461864679147249
5Connecticut000000000...48232487764877648776489834907749540496704981049810
6Delaware000000000...13924142021417514290144061447614602146891478814877
7District of Columbia000000000...11571116491171711780118581194511999120571205712057
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12Illinois001111111...168096169696171122172663173894174968176363178135180115181754
13Indiana000000000...59602605986152062372629076367864299652536615467122
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15Kentucky000000000...25147259322676427082275862811128727293863015130723
16Louisiana000000000...101650103734103734107574109917111038112773114481116280116280
17Maine000000000...3737375737903814383238383866388839123937
18Maryland000000000...80836817668305483748848768552486285871778834689365
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22Mississippi000000000...48053495855098152154527815408555804575795874759881
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25Nevada000000000...39919408854181642843438314493645806468244808849074
26New Hampshire000000000...6318637564156436644165006513654465836614
27New Jersey000000000...177887178345178858179363179812180295180600180970181660182029
28New Mexico000000000...18163184751878819042195021979120136203882060020796
29New York000000000...409697410450411200411736412344412878413593414370415014415767
30North Carolina000000000...107125109728111421112937114916116700118387120532122298124006
31Ohio000000000...80186817468318484073851778649787893896269115992087
32Oklahoma000000000...27969291163008131285326853377534623357403648737731
33Oregon000000000...15713161041649216758170881740817721181311849218817
34Pennsylvania000000000...109105110292111115111745112995114083114939115807116787117468
35Rhode Island000000000...18148182241822418224185151872518800189501902219022
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37Tennessee000000000...869878907890796939369648999044100822102871105959108184
38Texas000000000...373037380364390286394084400336408493418995428229438293444738
39Utah000000000...36099369623762337973384093885539194396964019640702
40Vermont000000000...1377138513961400140214051406140714141421
41Virginia000000000...81237823648360984567860728699487993889048988890801
42Washington111111111...50009508245184952635533215420554985558035580357541
43West Virginia000000000...5452565357755889599961206277637565796738
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45Wyoming000000000...2347240524462475252025892628268627262769
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46 rows × 194 columns

\n", "
" ], "text/plain": [ " Province_State 1/22/20 1/23/20 1/24/20 1/25/20 1/26/20 \\\n", "0 Alabama 0 0 0 0 0 \n", "1 Alaska 0 0 0 0 0 \n", "2 Arizona 0 0 0 0 1 \n", "3 California 0 0 0 0 2 \n", "4 Colorado 0 0 0 0 0 \n", "5 Connecticut 0 0 0 0 0 \n", "6 Delaware 0 0 0 0 0 \n", "7 District of Columbia 0 0 0 0 0 \n", "8 Florida 0 0 0 0 0 \n", "9 Georgia 0 0 0 0 0 \n", "10 Hawaii 0 0 0 0 0 \n", "11 Idaho 0 0 0 0 0 \n", "12 Illinois 0 0 1 1 1 \n", "13 Indiana 0 0 0 0 0 \n", "14 Kansas 0 0 0 0 0 \n", "15 Kentucky 0 0 0 0 0 \n", "16 Louisiana 0 0 0 0 0 \n", "17 Maine 0 0 0 0 0 \n", "18 Maryland 0 0 0 0 0 \n", "19 Massachusetts 0 0 0 0 0 \n", "20 Michigan 0 0 0 0 0 \n", "21 Minnesota 0 0 0 0 0 \n", "22 Mississippi 0 0 0 0 0 \n", "23 Missouri 0 0 0 0 0 \n", "24 Montana 0 0 0 0 0 \n", "25 Nevada 0 0 0 0 0 \n", "26 New Hampshire 0 0 0 0 0 \n", "27 New Jersey 0 0 0 0 0 \n", "28 New Mexico 0 0 0 0 0 \n", "29 New York 0 0 0 0 0 \n", "30 North Carolina 0 0 0 0 0 \n", "31 Ohio 0 0 0 0 0 \n", "32 Oklahoma 0 0 0 0 0 \n", "33 Oregon 0 0 0 0 0 \n", "34 Pennsylvania 0 0 0 0 0 \n", "35 Rhode Island 0 0 0 0 0 \n", "36 South Carolina 0 0 0 0 0 \n", "37 Tennessee 0 0 0 0 0 \n", "38 Texas 0 0 0 0 0 \n", "39 Utah 0 0 0 0 0 \n", "40 Vermont 0 0 0 0 0 \n", "41 Virginia 0 0 0 0 0 \n", "42 Washington 1 1 1 1 1 \n", "43 West Virginia 0 0 0 0 0 \n", "44 Wisconsin 0 0 0 0 0 \n", "45 Wyoming 0 0 0 0 0 \n", "\n", " 1/27/20 1/28/20 1/29/20 1/30/20 ... 7/23/20 7/24/20 7/25/20 \\\n", "0 0 0 0 0 ... 74212 76005 78130 \n", "1 0 0 0 0 ... 2193 2249 2339 \n", "2 1 1 1 1 ... 152944 156301 160041 \n", "3 2 2 2 2 ... 430773 440185 446452 \n", "4 0 0 0 0 ... 42295 42962 43771 \n", "5 0 0 0 0 ... 48232 48776 48776 \n", "6 0 0 0 0 ... 13924 14202 14175 \n", "7 0 0 0 0 ... 11571 11649 11717 \n", "8 0 0 0 0 ... 389868 402312 414511 \n", "9 0 0 0 0 ... 156607 161420 165188 \n", "10 0 0 0 0 ... 1490 1549 1620 \n", "11 0 0 0 0 ... 16737 17265 17826 \n", "12 1 1 1 1 ... 168096 169696 171122 \n", "13 0 0 0 0 ... 59602 60598 61520 \n", "14 0 0 0 0 ... 23956 24554 25009 \n", "15 0 0 0 0 ... 25147 25932 26764 \n", "16 0 0 0 0 ... 101650 103734 103734 \n", "17 0 0 0 0 ... 3737 3757 3790 \n", "18 0 0 0 0 ... 80836 81766 83054 \n", "19 0 0 0 0 ... 114647 114985 115268 \n", "20 0 0 0 0 ... 84431 85072 85622 \n", "21 0 0 0 0 ... 48721 49488 50291 \n", "22 0 0 0 0 ... 48053 49585 50981 \n", "23 0 0 0 0 ... 38060 39635 41034 \n", "24 0 0 0 0 ... 2909 3038 3259 \n", "25 0 0 0 0 ... 39919 40885 41816 \n", "26 0 0 0 0 ... 6318 6375 6415 \n", "27 0 0 0 0 ... 177887 178345 178858 \n", "28 0 0 0 0 ... 18163 18475 18788 \n", "29 0 0 0 0 ... 409697 410450 411200 \n", "30 0 0 0 0 ... 107125 109728 111421 \n", "31 0 0 0 0 ... 80186 81746 83184 \n", "32 0 0 0 0 ... 27969 29116 30081 \n", "33 0 0 0 0 ... 15713 16104 16492 \n", "34 0 0 0 0 ... 109105 110292 111115 \n", "35 0 0 0 0 ... 18148 18224 18224 \n", "36 0 0 0 0 ... 76606 78607 80008 \n", "37 0 0 0 0 ... 86987 89078 90796 \n", "38 0 0 0 0 ... 373037 380364 390286 \n", "39 0 0 0 0 ... 36099 36962 37623 \n", "40 0 0 0 0 ... 1377 1385 1396 \n", "41 0 0 0 0 ... 81237 82364 83609 \n", "42 1 1 1 1 ... 50009 50824 51849 \n", "43 0 0 0 0 ... 5452 5653 5775 \n", "44 0 0 0 0 ... 45899 46917 47870 \n", "45 0 0 0 0 ... 2347 2405 2446 \n", "\n", " 7/26/20 7/27/20 7/28/20 7/29/20 7/30/20 7/31/20 8/1/20 \n", "0 79294 81115 82366 83782 85762 87723 89349 \n", "1 2525 2623 2730 2798 2879 2990 3136 \n", "2 162014 163827 165934 168273 170798 174010 177002 \n", "3 452288 458121 470762 484913 492934 500556 506613 \n", "4 44318 44547 45296 45778 46186 46791 47249 \n", "5 48776 48983 49077 49540 49670 49810 49810 \n", "6 14290 14406 14476 14602 14689 14788 14877 \n", "7 11780 11858 11945 11999 12057 12057 12057 \n", "8 423855 432747 441977 451423 461379 470386 480028 \n", "9 167953 170843 175052 178323 182286 186352 190012 \n", "10 1683 1711 1757 1865 1989 2111 2197 \n", "11 18178 18692 19220 19674 20242 20716 21110 \n", "12 172663 173894 174968 176363 178135 180115 181754 \n", "13 62372 62907 63678 64299 65253 66154 67122 \n", "14 25290 25804 26058 26591 26885 27364 27592 \n", "15 27082 27586 28111 28727 29386 30151 30723 \n", "16 107574 109917 111038 112773 114481 116280 116280 \n", "17 3814 3832 3838 3866 3888 3912 3937 \n", "18 83748 84876 85524 86285 87177 88346 89365 \n", "19 115637 115926 116182 116684 117098 117612 118040 \n", "20 86661 87173 87958 88974 89781 90574 91332 \n", "21 51153 51803 52281 52947 53692 54463 55188 \n", "22 52154 52781 54085 55804 57579 58747 59881 \n", "23 42160 43489 45181 46942 49139 50616 51632 \n", "24 3341 3380 3474 3676 3814 3965 4081 \n", "25 42843 43831 44936 45806 46824 48088 49074 \n", "26 6436 6441 6500 6513 6544 6583 6614 \n", "27 179363 179812 180295 180600 180970 181660 182029 \n", "28 19042 19502 19791 20136 20388 20600 20796 \n", "29 411736 412344 412878 413593 414370 415014 415767 \n", "30 112937 114916 116700 118387 120532 122298 124006 \n", "31 84073 85177 86497 87893 89626 91159 92087 \n", "32 31285 32685 33775 34623 35740 36487 37731 \n", "33 16758 17088 17408 17721 18131 18492 18817 \n", "34 111745 112995 114083 114939 115807 116787 117468 \n", "35 18224 18515 18725 18800 18950 19022 19022 \n", "36 81199 82417 84109 85846 87572 89016 90599 \n", "37 93936 96489 99044 100822 102871 105959 108184 \n", "38 394084 400336 408493 418995 428229 438293 444738 \n", "39 37973 38409 38855 39194 39696 40196 40702 \n", "40 1400 1402 1405 1406 1407 1414 1421 \n", "41 84567 86072 86994 87993 88904 89888 90801 \n", "42 52635 53321 54205 54985 55803 55803 57541 \n", "43 5889 5999 6120 6277 6375 6579 6738 \n", "44 48827 49417 50179 51049 52108 52940 54002 \n", "45 2475 2520 2589 2628 2686 2726 2769 \n", "\n", "[46 rows x 194 columns]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "is_state = df_by_state[\"Province_State\"].isin(states)\n", "df = df_by_state[is_state].reset_index().iloc[:,1:]\n", "df" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def get_enacted_dates(state):\n", " dates = stay_at_home_df.loc[stay_at_home_df[\"State\"]==state, [\"Date Enacted\", \"Date Lifted\"]].values.flatten().tolist()\n", " return dates\n", "\n", "def get_all_state_data(state):\n", " is_state = df_7_day_avg[\"Province_State\"]==state\n", " all_state_data = df_7_day_avg[is_state].reset_index().iloc[:,1:]\n", " return all_state_data\n", "\n", "def get_data_before_enacted(state):\n", " all_dates = list(df_7_day_avg.columns[1:])\n", " date_enacted = get_enacted_dates(state)[0]\n", " dates_before_enacted = all_dates[:all_dates.index(date_enacted)+1]\n", " \n", " all_state_data = get_all_state_data(state)\n", " state_data_before_enacted = all_state_data[dates_before_enacted].values.flatten().tolist()\n", " first_non_zero_day = next((index for index,value in enumerate(state_data_before_enacted) if value != 0), None)\n", " return state_data_before_enacted[first_non_zero_day:]\n", "\n", "def get_data_while_enacted(state):\n", " all_dates = list(df_7_day_avg.columns[1:])\n", " date_enacted, date_lifted = get_enacted_dates(state)\n", " dates_while_enacted = all_dates[all_dates.index(date_enacted):all_dates.index(date_lifted)+1]\n", " \n", " all_state_data = get_all_state_data(state)\n", " state_data_while_enacted = all_state_data[dates_while_enacted].values.flatten().tolist()\n", " return state_data_while_enacted\n", "\n", "def get_data_after_lifted(state):\n", " all_dates = list(df_7_day_avg.columns[1:])\n", " date_lifted = get_enacted_dates(state)[1]\n", " dates_after_lifted = all_dates[all_dates.index(date_lifted):]\n", " \n", " all_state_data = get_all_state_data(state)\n", " state_data_after_lifted = all_state_data[dates_after_lifted].values.flatten().tolist()\n", " return state_data_after_lifted" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }