{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ad Campaigns Effect on Release Level Streams\n",
    "\n",
    "### Explore how ad campaigns may (or may not) effect streaming volume for album releases\n",
    "\n",
    "A few notes: \n",
    "\n",
    "Ad campaign data is collected from Datorama.\n",
    "\n",
    "A typical ad campaign is given a named when added to Datorama. These should follow a standard naming convention (see [reference document](https://quip.com/nq5CAwfPmjMn)), however minor variations to this naming convention present major complications when trying to extract meaningful information from these names. Every effort has been made to properly match campaigns with orchard structured data so that campaigns can be matched with streams. \n",
    "\n",
    "All in all, the dataset examined in this noteboook contains: 1542 unique capaigns, across 435 different releases. \n",
    "\n",
    "Campaigns are run across multiple days, and as such we have just over 3.2K day data points to analyze (with active campaigns), along with days without active campaigns, totalling just under 200k day data points. \n",
    "\n",
    "The starting point for this data is the complete daily summaries for the 435 releases that have been matched with the ad campaign data.\n",
    "\n",
    "The intent of this notbook is explore the relationship between streaming volume and active ad campaigns.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "# base python library imports\n",
    "import requests\n",
    "import urllib\n",
    "\n",
    "# plotting, vector operations, data objects\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# db connections\n",
    "from snowflake.sqlalchemy import URL\n",
    "from sqlalchemy import create_engine, Table, MetaData, Column, String\n",
    "from sqlalchemy.sql import select, text\n",
    "\n",
    "# statistical tooling\n",
    "from statsmodels.sandbox.stats import multicomp\n",
    "from statsmodels.stats import weightstats\n",
    "\n",
    "\n",
    "metadata = MetaData()\n",
    "\n",
    "engine = create_engine(URL(\n",
    "    user='',\n",
    "    password='',\n",
    "    account='orchard',\n",
    "    database='dev_engineering',\n",
    "    schema='events_streams',\n",
    "    role='dev_engineering',\n",
    "    warehouse='dev_performance_warehouse'\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define table for selecting data from snowflake\n",
    "\n",
    "table_name = 'fact_analytics_join_campaign_data'\n",
    "table = Table(table_name, MetaData(), autoload=True, autoload_with=engine)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# read table into dataframe\n",
    "df = pd.read_sql(sql=select(table.columns), con=engine)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "releaseid                          int64\n",
       "download_activity_date    datetime64[ns]\n",
       "units                              int64\n",
       "active_campaigns                   int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['download_activity_date'] = pd.to_datetime(df['download_activity_date'])\n",
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# adding a new column to the main dataframe duplicating the stream count for that day if there was an ad campaign\n",
    "# this is a simple way to plot two series on the same chart, one with all the daily streams, the second with \n",
    "# only the daily streams where an ad campaign is present\n",
    "\n",
    "\n",
    "def active_ad_campaign(row):\n",
    "    if row['active_campaigns'] > 0:\n",
    "        return row['units']\n",
    "    return None\n",
    "    \n",
    "\n",
    "df['streams_with_ads'] = df.apply(active_ad_campaign, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>download_activity_date</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>releaseid</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>26656678424</th>\n",
       "      <td>2018-09-27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26656954023</th>\n",
       "      <td>2018-09-20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97037066475</th>\n",
       "      <td>2018-06-22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181475704720</th>\n",
       "      <td>2016-02-25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184923125368</th>\n",
       "      <td>2018-03-09</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             download_activity_date\n",
       "releaseid                          \n",
       "26656678424              2018-09-27\n",
       "26656954023              2018-09-20\n",
       "97037066475              2018-06-22\n",
       "181475704720             2016-02-25\n",
       "184923125368             2018-03-09"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# generate min_release_date df\n",
    "min_release_date_df = df.reset_index().groupby('releaseid').first()\n",
    "min_release_date_df = min_release_date_df[['download_activity_date']]\n",
    "min_release_date_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calc_days_since_release(row):\n",
    "    row_date = row['download_activity_date']\n",
    "    \n",
    "    release_date = min_release_date_df.loc[row['releaseid']]['download_activity_date']\n",
    "    \n",
    "    return row_date - release_date\n",
    "\n",
    "df['days_since_release'] = df.apply(calc_days_since_release, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>releaseid</th>\n",
       "      <th>download_activity_date</th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>streams_with_ads</th>\n",
       "      <th>days_since_release</th>\n",
       "      <th>diff</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>192099</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-28</td>\n",
       "      <td>13278</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1 days</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192100</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-29</td>\n",
       "      <td>15389</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2 days</td>\n",
       "      <td>2111.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192101</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-30</td>\n",
       "      <td>8734</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3 days</td>\n",
       "      <td>-6655.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192102</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-01</td>\n",
       "      <td>7037</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4 days</td>\n",
       "      <td>-1697.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192103</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-02</td>\n",
       "      <td>7846</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5 days</td>\n",
       "      <td>809.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          releaseid download_activity_date  units  active_campaigns  \\\n",
       "192099  26656678424             2018-09-28  13278                 0   \n",
       "192100  26656678424             2018-09-29  15389                 0   \n",
       "192101  26656678424             2018-09-30   8734                 0   \n",
       "192102  26656678424             2018-10-01   7037                 0   \n",
       "192103  26656678424             2018-10-02   7846                 0   \n",
       "\n",
       "        streams_with_ads days_since_release    diff  active_campaigns_binary  \n",
       "192099               NaN             1 days     NaN                        0  \n",
       "192100               NaN             2 days  2111.0                        0  \n",
       "192101               NaN             3 days -6655.0                        0  \n",
       "192102               NaN             4 days -1697.0                        0  \n",
       "192103               NaN             5 days   809.0                        0  "
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.sort_values(['releaseid', 'download_activity_date'])\n",
    "df['diff'] = df.groupby('releaseid')['units'].diff()\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'total days in data set: 194712'\n",
      "'total days with active campaigns in data set: 3204'\n",
      "'total releases in data set: 430'\n"
     ]
    }
   ],
   "source": [
    "print('total days in data set: ' + str(len(df)))\n",
    "print('total days with active campaigns in data set: '+ str(len(df[df['active_campaigns'] > 0])))\n",
    "print('total releases in data set: '+ str(len(df.groupby('releaseid'))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A good place to start with any analysis is to start plotting some data points. The basic time series with day on the horizontal axis and streams on the vertical axis is our standard visual. We can find some interesting examples by identifying releases that are popular and releases that have lots of ads, or lots of days with ads...all interesting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>releaseid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>26656678424</th>\n",
       "      <td>247321</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26656954023</th>\n",
       "      <td>140711</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97037066475</th>\n",
       "      <td>160088</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181475704720</th>\n",
       "      <td>1891000</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184923125368</th>\n",
       "      <td>209015</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                units  active_campaigns  active_campaigns_binary\n",
       "releaseid                                                       \n",
       "26656678424    247321                 8                        8\n",
       "26656954023    140711                 8                        8\n",
       "97037066475    160088                 5                        5\n",
       "181475704720  1891000                 2                        1\n",
       "184923125368   209015                 7                        7"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "summary_df = df.groupby('releaseid').sum()\n",
    "summary_df = summary_df.drop(['streams_with_ads', 'diff'], axis=1)\n",
    "summary_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>releaseid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>697691884080</th>\n",
       "      <td>3738553656</td>\n",
       "      <td>59</td>\n",
       "      <td>26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>886445056839</th>\n",
       "      <td>941008116</td>\n",
       "      <td>22</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192562519394</th>\n",
       "      <td>749773568</td>\n",
       "      <td>36</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   units  active_campaigns  active_campaigns_binary\n",
       "releaseid                                                          \n",
       "697691884080  3738553656                59                       26\n",
       "886445056839   941008116                22                       16\n",
       "192562519394   749773568                36                       13"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "summary_df.nlargest(3, 'units')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>releaseid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>191773226336</th>\n",
       "      <td>616115</td>\n",
       "      <td>357</td>\n",
       "      <td>357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>781676734320</th>\n",
       "      <td>901935</td>\n",
       "      <td>178</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>844942051009</th>\n",
       "      <td>48475830</td>\n",
       "      <td>109</td>\n",
       "      <td>50</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 units  active_campaigns  active_campaigns_binary\n",
       "releaseid                                                        \n",
       "191773226336    616115               357                      357\n",
       "781676734320    901935               178                       40\n",
       "844942051009  48475830               109                       50"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "summary_df.nlargest(3, 'active_campaigns')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def plot_streams_with_ads(dataframe, releaseid):\n",
    "    plt.figure(figsize=(8,5))\n",
    "    plt.xlabel('streams with ads')\n",
    "\n",
    "    filtered_df = dataframe[dataframe['releaseid'] == releaseid]\n",
    "\n",
    "    ax1 = filtered_df.units.plot(color='blue', grid=True, label='Streams')\n",
    "    filtered_df.streams_with_ads.plot(color='orange', grid=True, label='Ad Campaign')\n",
    "\n",
    "    h1, l1 = ax1.get_legend_handles_labels()\n",
    "\n",
    "    plt.legend(h1, l1, loc=2)\n",
    "    plt.show()\n",
    "    \n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create a copy of the dataframe with the download_activity_date as index for purpose of plotting\n",
    "df_copy_dates_index = df.copy().set_index('download_activity_date')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119feeeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfYAAAE6CAYAAADkwXBzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzt3XmcFdWZ//HP0ws0OyjSEkABAZEloIDiuNAmKigxJtGMOoli9CdKXBInmUQnjho16yQaHYOJxgUz7kyMxJgYFFo0orIEFRcCIkILgrJ2gw29PL8/TjV9gd5v07e6+vt+ve6rb506Vfc8fevep86pulXm7oiIiEgyZGW6ASIiItJ8lNhFREQSRIldREQkQZTYRUREEkSJXUREJEGU2EVERBJEiV1ERCRBlNhFREQSRIldREQkQZTYRUREEiQn0w1oqp49e3r//v0z3QwAtm/fTqdOnTLdjLQlIQ7FEA9JiAGSEYdiiIfmiGHRokWfuPtB9VZ093ofQHdgJvAu8A5wLHAAMBtYHv3tEdU14A5gBfAGcFTKeqZE9ZcDU1LKxwBvRsvcAVh9bRozZozHxdy5czPdhGaRhDgUQzwkIQb3ZMShGOKhOWIAFnoDcnZDh+JvB/7q7kOBUVFyvwZ43t0HA89H0wCnAYOjx1TgLgAzOwC4ATgGOBq4wcx6RMvcFdWtWm5SA9slIiIiKepN7GbWFTgRuBfA3Xe5+xbgTGBGVG0G8KXo+ZnAg9EOxitAdzPrDUwEZrv7JnffTOjlT4rmdXX3+dEeyYMp6xIREZFGaMgx9oHAx8D9ZjYKWAR8C8h393UA7r7OzHpF9fsAa1KWL4rK6iovqqF8H2Y2ldCzJz8/n8LCwgY0f/8rKSmJTVvSkYQ4FEM8JCEGSEYciiEeWjKGhiT2HOAo4Ep3f9XMbqd62L0mVkOZN6F830L3u4G7AcaOHesFBQV7zC8rK6OoqIjS0tI6mtf8unXrRl5eXou+5v6wv+LIy8ujb9++5ObmNvu691ZYWMje20VroxjiIwlxKIZ4aMkYGpLYi4Aid381mp5JSOzrzax31FvvDWxIqd8vZfm+wNqovGCv8sKovG8N9RutqKiILl260L9/f8xq2l/YP4qLi+nSpUuLvd7+sj/icHc2btxIUVERAwYMaNZ1i4jIvuo9xu7uHwFrzOzwqOjzwNvALMJZ7kR/n4qezwIusGA8sDUasn8WONXMekQnzZ0KPBvNKzaz8Ray8QUp62qU0tJSDjzwwBZN6lI3M+PAAw9s8VEUEZG2qqG/Y78SeMjM2gErgW8QdgoeN7OLgdXAV6O6zwCnE366tiOqi7tvMrObgQVRvZvcfVP0fBrwANAB+Ev0aBIl9fjReyIi0nIalNjdfQkwtoZZn6+hrgOX17Ke+4D7aihfCIxoSFvi7kc/+hEPP/ww2dnZZGVl8dvf/pb58+czdepUOnbsmOnmiYhIwumSss1o/vz5PP300yxevJg33niD5557jn79+vGrX/2KHTt21LhMRUVFC7cy/szgm9/MdCtERFonJfZmtG7dOnr27En79u0B6NmzJzNnzmTt2rWcdNJJnHTSSQB07tyZ66+/nmOOOYb58+ezaNEiJkyYwJgxY5g4cSLr1q0D4J577mHcuHGMGjWKs846a/fOwYUXXsi0adM46aSTGDhwIC+88AIXXXQRRxxxBBdeeCEQdhguvPBCRowYwciRI7ntttta/h+ShrvuynQLRERap1Z7rfj6fPvbsGRJ865z9Gj41a9qn3/qqady0003MWTIEE4++WTOOeccrrrqKm699Vbmzp1Lz549gXDN4BEjRnDTTTdRVlbGhAkTeOqppzjooIN47LHH+MEPfsB9993HV77yFS655BIArrvuOu69916uvPJKADZv3sycOXOYNWsWZ5xxBn//+9/53e9+x7hx41iyZAkVFRV8+OGHLF26FIAtW7Y07z9DRERiKbGJPRM6d+7MokWLePHFF5k7dy7nnHMOP/3pT/epl52dzVlnnQXAsmXLWLp0KaeccgoQetq9e/cGYOnSpVx33XVs2bKFkpISJk6cuHsdZ5xxBmbGyJEjyc/PZ+TIkQAMHz6cVatWMWHCBFauXMmVV17J5MmTOfXUU/d3+CIiEgOJTex19az3p+zsbAoKCigoKGDkyJHMmDFjnzp5eXlkZ2cD4Xfew4cPZ/78+fvUu/DCC/njH//IqFGjeOCBB/a4alHVcH9WVtbu51XT5eXl9OjRg9dff51nn32WX//61zz++OPcd98+5y2KiEjC6Bh7M1q2bBnLly/fPb1kyRIOPfRQunTpQnFxcY3LHH744Xz88ce7E3tZWRlvvfUWEC4Y07t3b8rKynjooYca1ZZPPvmEyspKzjrrLG6++WYWL17cxKhERKQ1SWyPPRNKSkq48sor2bJlCzk5OQwaNIi7776bRx55hNNOO43evXszd+7cPZZp164dM2fO5KqrrmLr1q2Ul5fz7W9/m+HDh3PzzTdzzDHHcOihhzJy5Mhadw5q8uGHH/KNb3yDyspKAH7yk580a6wiIhJPSuzNaMyYMbz88sv7lF955ZW7T3qDsAOQavTo0cybN2+f5aZNm8a0adP2KX/ggQd2P+/fv//uE+T2nqdeuohI26OheBERkQRRYhcREUkQJXYREZEEUWIXERFJECV2ERGRBFFiFxERSRAl9v3gySefxMx49913a61z4YUXMnPmzBrn/eIXv2Do0KGMGDGCUaNG8eCDD+6vptbp+uuv57nnnsvIa4uISNMose8HjzzyCMcffzyPPvpoo5f9zW9+w+zZs3nttddYunQp8+bNI9zivuXddNNNnHzyyRl5bRERaRol9mZWUlLC3//+d+699949Eru7c8UVVzBs2DAmT57Mhg0balz+xz/+MdOnT6dr164AdOvWjSlTpgAh0Y4bN44RI0YwderU3Qm/oKCAq6++mhNPPJEjjjiCBQsW8JWvfIXBgwdz3XXXAbBq1SqGDh3KlClT+OxnP8vZZ5+9+zawVes95phj9lhv6qjCM888w9ChQzn++OO56qqr+MIXvgDAjTfeyEUXXURBQQEDBw7kjjvuaO5/qYiINEJyrzy36NuwuZnv29pjNIyp++4yf/zjH5k0aRJDhgzhgAMOYPHixRx11FE8+eSTLFu2jDfffJP169czbNgwLrrooj2WLS4upri4mMMOO6zGdV9xxRVcf/31AJx//vk8/fTTnHHGGUC4NO28efO4/fbbOfPMM1m0aBEHHHAAhx12GFdffTUQrmV/7733ctxxx3HRRRcxffp0vvvd7+5eb3FxMd/85jf3WC9AaWkpl156KfPmzWPAgAGcd955e7Tr3XffZe7cuRQXF3P44Yczbdo0cnNzG/e/FRGRZqEeezN75JFHOPfccwE499xzeeSRRwCYN28e5513HtnZ2XzmM5/hc5/73D7LujtmVuu6586dyzHHHMPIkSOZM2fO7pvFAHzxi18EYOTIkQwfPpzevXvTvn17Bg4cyJo1awDo168fxx13HABf//rXeemll/ZY7/jx4/dZL4TEPXDgQAYMGACwT2KfPHky7du3p2fPnvTq1Yv169c3/B8mIiLNKrk99np61vvDxo0bmTNnDkuXLsXMqKiowMz4+c9/DlBn0gbo2rUrnTp1YuXKlQwcOHCPeaWlpXzzm99k4cKF9OvXjxtvvJHS0tLd8+u7jWtNr29me6y3e/fu/PKXv9xjvUC9x/hTXy87O3v364mISMtTj70ZzZw5kwsuuIAPPviAVatWsWbNGgYMGMBLL73EiSeeyKOPPkpFRQXr1q3b5y5vVa699louv/xytm3bBsC2bdu4++67dyfbnj17UlJSUusZ9XVZvXr17tvDVp3g15D1Dh06lJUrV7Jq1SoAHnvssUa/toiItIzk9tgz4JFHHuGaa67Zo+yss87i4YcfZvr06cyZM4eRI0cyZMgQJkyYUOM6pk2bRklJCePGjSM3N5fc3Fy+853v0L17dy655BJGjhxJ//79GTduXKPbd8QRRzBjxgwuvfRSBg8ezLRp0+jYsePu9fbr16/G9Xbo0IHp06czadIkevbsydFHH93o1xYRkRbi7q3yMWbMGN/b22+/vU9ZS9i2bVtGXrcx3n//fR8+fHiddeqKo7i42N3dKysrfdq0aX7rrbc26vUb895AeDTF3Llzm7ZgjCiG+EhCHIohHpojBmChNyA/aiheGuSee+5h9OjRDB8+nK1bt3LppZdmukkiIlIDDcW3Ef3792fp0qVNXv7qq6/e/bM5ERGJL/XYRUREEiRxid0zdPlVqZ3eExGRlpOoxJ6Xl8fGjRuVSGLE3dm4cSN5eXmZboqISJuQqGPsffv2paioiI8//rhFX7e0tDQRiWt/xZGXl0ffvn2bfb0iIrKvBiV2M1sFFAMVQLm7jzWzA4DHgP7AKuBf3X2zhcub3Q6cDuwALnT3xdF6pgDXRau9xd1nROVjgAeADsAzwLe8Cd3u3Nzc3Zc9bUmFhYUceeSRLf66zS0OcWiwRUQkPY0Zij/J3Ue7+9ho+hrgeXcfDDwfTQOcBgyOHlOBuwCiHYEbgGOAo4EbzKxHtMxdUd2q5SY1OSIREZE2LJ1j7GcCM6LnM4AvpZQ/GP2e/hWgu5n1BiYCs919k7tvBmYDk6J5Xd19ftRLfzBlXdLGqMcuIpKehiZ2B/5mZovMbGpUlu/u6wCiv72i8j7AmpRli6KyusqLaigXERGRRmroyXPHuftaM+sFzDazd+uoW9MtzLwJ5fuuOOxUTAXIz8+nsLCwzka3lJKSkti0JR1xiKOiAqAAoEltiUMM6VIM8ZGEOBRDPLRkDA1K7O6+Nvq7wcyeJBwjX29mvd19XTScviGqXgT0S1m8L7A2Ki/Yq7wwKu9bQ/2a2nE3cDfA2LFjvaCgoKZqLa6wsJC4tCUdcYgjJPagKW2JQwzpUgzxkYQ4FEM8tGQM9Q7Fm1knM+tS9Rw4FVgKzAKmRNWmAE9Fz2cBF1gwHtgaDdU/C5xqZj2ik+ZOBZ6N5hWb2fjojPoLUtYlbYyOsYuIpKchPfZ84MmQc8kBHnb3v5rZAuBxM7sYWA18Nar/DOGnbisIP3f7BoC7bzKzm4EFUb2b3H1T9Hwa1T93+0v0EBERkUaqN7G7+0pgVA3lG4HP11DuwOW1rOs+4L4ayhcCIxrQXkk49dhFRNKTqEvKioiItHVK7BIr6rGLiKRHiV1ERCRBlNglVtRjFxFJjxK7iIhIgiixS6yoxy4ikh4ldhERkQRRYpdYUY9dRCQ9SuwiIiIJosQusaIeu4hIepTYRUREEkSJXWJFPXYRkfQosYuIiCSIErvEinrsIiLpUWIXERFJECV2iRX12EVE0qPELiIikiBK7BIr6rGLiKRHiV1ERCRBlNglVtRjFxFJjxK7iIhIgiixS6yoxy4ikh4ldhERkQRRYpdYUY9dRCQ9SuwiIiIJosQusaIeu4hIepTYRUREEkSJXWJFPXYRkfQosYuIiCRIgxO7mWWb2T/M7OloeoCZvWpmy83sMTNrF5W3j6ZXRPP7p6zj2qh8mZlNTCmfFJWtMLNrmi88aW3UYxcRSU9jeuzfAt5Jmf4ZcJu7DwY2AxdH5RcDm919EHBbVA8zGwacCwwHJgHTo52FbODXwGnAMOC8qK6IiIg0UoMSu5n1BSYDv4umDfgcMDOqMgP4UvT8zGiaaP7no/pnAo+6+053fx9YARwdPVa4+0p33wU8GtWVNkg9dhGR9DS0x/4r4HtAZTR9ILDF3cuj6SKgT/S8D7AGIJq/Naq/u3yvZWorFxERkUbKqa+CmX0B2ODui8ysoKq4hqpez7zaymvauaix32ZmU4GpAPn5+RQWFtbe8BZUUlISm7akIw5xbN6cCxwH0KS2xCGGdCmG+EhCHIohHloyhnoTO+Fb9otmdjqQB3Ql9OC7m1lO1CvvC6yN6hcB/YAiM8sBugGbUsqrpC5TW/ke3P1u4G6AsWPHekFBQQOav/8VFhYSl7akIw5xbNhQ/bwpbYlDDOlSDPGRhDgUQzy0ZAz1DsW7+7Xu3tfd+xNOfpvj7l8D5gJnR9WmAE9Fz2dF00Tz57i7R+XnRmfNDwAGA68BC4DB0Vn27aLXmNUs0Umro2PsIiLpaUiPvTbfBx41s1uAfwD3RuX3Ar83sxWEnvq5AO7+lpk9DrwNlAOXu3sFgJldATwLZAP3uftbabRLRESkzWpUYnf3QqAwer6ScEb73nVKga/WsvyPgB/VUP4M8Exj2iLJpB67iEh6dOU5ERGRBFFil1hRj11EJD1K7CIiIgmixC6xoh67iEh6lNhFREQSRIldYkU9dhGR9Cixi4iIJIgSu8SKeuwiIulRYhcREUkQJXaJFfXYRUTSo8QuIiKSIErsEivqsYuIpEeJXUREJEGU2CVW1GMXEUmPEruIiEiCKLFLrKjHLiKSHiV2ERGRBFFil1hRj11EJD1K7CIiIgmixC6xoh67iEh6lNhFREQSRIldREQkQZTYJVY0FC8ikh4ldhERkQRRYpdYUY9dRCQ9SuwiIiIJosQusaIeu4hIepTYRUREEkSJXWJFPXYRkfTUm9jNLM/MXjOz183sLTP7YVQ+wMxeNbPlZvaYmbWLyttH0yui+f1T1nVtVL7MzCamlE+KylaY2TXNH6aIiEjb0JAe+07gc+4+ChgNTDKz8cDPgNvcfTCwGbg4qn8xsNndBwG3RfUws2HAucBwYBIw3cyyzSwb+DVwGjAMOC+qK22QeuwiIumpN7F7UBJN5kYPBz4HzIzKZwBfip6fGU0Tzf+8mVlU/qi773T394EVwNHRY4W7r3T3XcCjUV0RERFppAYdY4961kuADcBs4D1gi7uXR1WKgD7R8z7AGoBo/lbgwNTyvZaprVzaIPXYRUTSk9OQSu5eAYw2s+7Ak8ARNVWL/lot82orr2nnosavdzObCkwFyM/Pp7CwsO6Gt5CSkpLYtCUdcYhj9eqOhEEcmtSWOMSQLsUQH0mIQzHEQ0vG0KDEXsXdt5hZITAe6G5mOVGvvC+wNqpWBPQDiswsB+gGbEopr5K6TG3le7/+3cDdAGPHjvWCgoLGNH+/KSwsJC5tSUcc4njnnernTWlLHGJIl2KIjyTEoRjioSVjaMhZ8QdFPXXMrANwMvAOMBc4O6o2BXgqej4rmiaaP8fdPSo/NzprfgAwGHgNWAAMjs6yb0c4wW5WcwQnIiLS1jSkx94bmBGdvZ4FPO7uT5vZ28CjZnYL8A/g3qj+vcDvzWwFoad+LoC7v2VmjwNvA+XA5dEQP2Z2BfAskA3c5+5vNVuE0qroGLuISHrqTezu/gZwZA3lK6k6GLpneSnw1VrW9SPgRzWUPwM804D2ioiISB105TmJFfXYRUTSo8QuIiKSIErsEivqsYuIpEeJPSaWvbKEnTPas+69okw3RUREWjEl9phY/9KvaZ+7i+UvtO1zCNVjFxFJjxJ7bFRdmE+ZTUREmk6JPTaixN7Gu6xtPHwRkbQpsceGeux7U5IXEWk8Jfa4sJDYbfOCDDcks1KTuRK7iEjjKbHHRkjsJ3zmfirKKjLclniorMx0C0REWh8l9pjwlLva7tq5K4MtySz12EVE0qPEHkO7SttuYk+lxC4i0nhK7LFR/VaUqccOaCheRKQplNhjo3oovi0n9lTqsYuINJ4SewyVt+HErh67iEh6lNjjwlKG4ne13cSeSj12EZHGU2KPjeqh+PI2nNjVYxcRSY8SewxVtOHEnko9dhGRxlNijwlXjx1Qj11EJF1K7HFh1Ym9YtfODDYkPtRjFxFpPCX22EhJ7GXqsYN67CIiTaHEHhtK7HtTj11EpPGU2GOjOrFXlrfdxK5rxYuIpEeJPS5MiX1vGooXEWk8JfbYqE7suUUzMtiOzFKPXUQkPUrssVGdxcb1+WsG2xEf6rGLiDSeEntcuLIYqMcuIpIuJfa48IrdT9/fODiDDYkP9dhFRBpPiT0mjOoslm3lGWxJZqnHLiKSnnoTu5n1M7O5ZvaOmb1lZt+Kyg8ws9lmtjz62yMqNzO7w8xWmNkbZnZUyrqmRPWXm9mUlPIxZvZmtMwdZimniLcVKT327Ky2m9hTqccuItJ4DemxlwPfcfcjgPHA5WY2DLgGeN7dBwPPR9MApwGDo8dU4C4IOwLADcAxwNHADVU7A1GdqSnLTUo/tNbFqE7sWVZRR81kU49dRCQ99SZ2d1/n7ouj58XAO0Af4Eyg6ndZM4AvRc/PBB704BWgu5n1BiYCs919k7tvBmYDk6J5Xd19vrs78GDKutqOlB57jnrsgHrsIiJN0ahj7GbWHzgSeBXId/d1EJI/0Cuq1gdYk7JYUVRWV3lRDeVtTMox9jac2NVjFxFJT05DK5pZZ+D/gG+7+7Y6DoPXNMObUF5TG6YShuzJz8+nsLCwnla3jJKSkrTbsmtHMR9u7sM/Nk7ihD5PZCS25ogjXW++2RUIp2XMn/8qH374aaOWj0MM6VIM8ZGEOBRDPLRkDA1K7GaWS0jqD7n7H6Li9WbW293XRcPpG6LyIqBfyuJ9gbVRecFe5YVRed8a6u/D3e8G7gYYO3asFxQU1FStxRUWFpJuW15acD9ODp279CAnqzzt9TVFc8SRrpyULfLoo49h6NDGLR+HGNKlGOIjCXEohnhoyRgacla8AfcC77j7rSmzZgFVZ7ZPAZ5KKb8gOjt+PLA1Gqp/FjjVzHpEJ82dCjwbzSs2s/HRa12Qsq42pJIKzwbL0TH2iIbiRUQaryE99uOA84E3zWxJVPafwE+Bx83sYmA18NVo3jPA6cAKYAfwDQB332RmNwMLono3ufum6Pk04AGgA/CX6NGmGBW4Z4Flk52ls+JBJ8+JiDRFvYnd3V+i5uPgAJ+vob4Dl9eyrvuA+2ooXwiMqK8tSWZUUOnZkJVDTnYFXulYVtv7OX8q9dhFRBpPV56LCaMyJHYL+1oV5W2z164eu4hIepTYY2L3UHxWSOzlZTrOrh67iEjjKbHHwIJZf+Gwri/t0WNvq4ldPXYRkfQoscfAuJLTOajLx1SSjUU99oo2mthTqccuItJ4Suyx4ruH4nWMXT12EZGmUGKPFVOPPYV67CIijafEnmFeuVf2ysoGoLy8bSZ29dhFRNKjxJ5hZbvKdj93V489lXrsIiKNp8SeYbtKd6VMGZZddYy9bSZ23d1NRCQ9SuwZVpaS2B0jK+qxH/r6IEq3l2aqWbGgoXgRkcZTYs+w8tSh+JQeO0DRu+9lokkZpR67iEh6lNgz7N05T+8xnZrYP3prYUs3J1bUYxcRaTwl9gzySueEdv8vpcTISkns3T+5q+UblWHqsYuIpEeJPYPWrSzap8yin7sBHNhhTUs2J3bUYxcRaTwl9gzauePTPabdjXaduuye7tJ+a0s3KePUYxcRSY8SewbV9JO2rr3ydz/vnLedirK2eWlZUI9dRKQplNgzqLJiz6S9sd1EDujda4+yki3bWrJJGaceu4hIenLqryL7S2VKj/3Fnfdw4jcvwsz2qFO8aRvdDurR0k2LBfXYRUQaT4k9g1J77O27H0xW9r4DKJ9ubXvH2auoxy4i0ngais+g1MReWV59BboPx37Ay1mPAfDpNg3Fi4hIwymxZ1DqUHxuh867n/cZcghdex8KwM7tbbfHrqF4EZHGU2LPIK8MPfZ5ay/hqNNP2WNeh65dASjbrh67iIg0nBJ7BlX12LuN+jqWtedJc526dwOgvFQ9dhERaTgl9gyqjHrsqVebq9K5R+ixV5aqxy4iIg2nxJ5BlRWhx56VvW9i79S1ExWVWVDWthJ7KvXYRUQaT4k9gzw6Kz4rZ99fHVqWUVzaFStvW0Px6rGLiKRHiT2DvI4eO0DJzm5kV7adHvuuXXDZZdXT6rGLiDSeLlCTQVXH2GvqsQPMevN8srseyvEt2agMeuYZWJNyQzv12EVEGk+JPYOqfu5WW4/9znk3M3w4XNqSjcqgrL3Gj9RjFxFpvHqH4s3sPjPbYGZLU8oOMLPZZrY8+tsjKjczu8PMVpjZG2Z2VMoyU6L6y81sSkr5GDN7M1rmDtv7YukJ5pVhKD67lh57djZUtKGbu+39b1CPXUSk8RpyjP0BYNJeZdcAz7v7YOD5aBrgNGBw9JgK3AVhRwC4ATgGOBq4oWpnIKozNWW5vV8rserrsbf1xK4eu4hI49Wb2N19HrBpr+IzgRnR8xnAl1LKH/TgFaC7mfUGJgKz3X2Tu28GZgOTonld3X2+uzvwYMq6Eq/84zcAyK4lsWdlte3Erh67iEjjNfWs+Hx3XwcQ/a26iXgfIOX0J4qisrrKi2oobxMK8n8BQHZu7UPxbanXuvf+TVuKXUSkuTT3yXM1HR/3JpTXvHKzqYRhe/Lz8yksLGxCE5tfSUlJk9pSEP1d/I/FdFqzYp/527cfBZRTWPhGOs1rsKbG0VzefLMbcOTu6aVL36Ww8KNGrSPTMTQHxRAfSYhDMcRDS8bQ1MS+3sx6u/u6aDh9Q1ReBPRLqdcXWBuVF+xVXhiV962hfo3c/W7gboCxY8d6QUFBbVVbVGFhIY1tS/mucpgZnh9z7LH07HPQPnV69IAOHWj0upuqKXE0p7177IcdNpSCgqGNWkemY2gOiiE+khCHYoiHloyhqUPxs4CqM9unAE+llF8QnR0/HtgaDdU/C5xqZj2ik+ZOBZ6N5hWb2fjobPgLUtaVaDs/3bn7eW3H2NvayXN7D73v2lVzPRERqV29PXYze4TQ2+5pZkWEs9t/CjxuZhcDq4GvRtWfAU4HVgA7gG8AuPsmM7sZWBDVu8ndq07Im0Y4874D8JfokXg7d5TSKXqelaPEDvvGWlaWmXaIiLRm9SZ2dz+vllmfr6GuA5fXsp77gPtqKF8IjKivHUmzc8enu5/n1HHyXFvqtarHLiKSPl0rPkN2fVq6+3m2euyAeuwiIs1BiT1DdpVWJ/a6euxtKbGrxy4ikj4l9gwpK1WPfW/qsYuIpE+JPUPKUxK7ZdV8efy2ltjVYxcRSZ8Se4aU7fy03jpZWW3r6mvqsYuIpE+JPUMqdpXWW0c99sy0Q0SkNVNiz5BqcHeWAAAgAElEQVSqxP5Cye211mlriV09dhGR9CmxZ0hlWbjy3KHHnlZrnbaW2NVjFxFJnxJ7hlRWhO5oTm5urXXaWmJXj11EJH1K7BniUWLPbqfEXiW1x26mHruISFMosWeIV0Y9diX23VJjbddOPXYRkaZQYs+UqMeeq8S+W2qPvV079dhFRJpCiT1D1GPfl3rsIiLpU2LPlEr12PeW2mNv3x5K6/+pv4iI7EWJPVOqEnv7uhN7W73yXOfOUFKSuba0lC1bYN68TLdCRJJEiT1TKsuoqMwiK7v2tyArq+322Lt2heLizLWlpXz5yzBhQtvYiRGRlqHEnileRllF7b112Hco3h2GDIGf/Ww/ty1DUmPt0KFtJPYlS8JfHXYQkeaixJ4plY1P7Lt2wfLlcM01+7ltGbL3MfZt2zLXlpaSFX0CldhFpLkosWeIeRllFe3qrLN3Yt+xYz83KsNSY83LC2fF79yZufa0hOzs8PfT+m/2JyLSIErsGWJeRnkje+ypid19PzUsg1J77Hl54W/Se+1K7CLS3JTYM8Qoo7yy/sQO1QkvNbFv376fGpZBqTsx7duHv0lP7FVD8UrsItJclNgzxLzhib0q4aV++SfxxLLUHvvxx4e/f/5zZtrSUpTYRaS5KbFnSBZlVDQysaf22JOY2KviXLwYLrsMhg2Dv/0ts23a3zQULyLNTYk9Q4wyyr3uxF7Vm7v00nAiWeqwdBKHqKt67KNHh79jxoQkn2TqsYtIc1Niz5CG9NirbtX+4IPwwx/CxInV85LaYzcLD4Ajj4R162D9+sy2a39SYheR5qbEniFZlFFRT4/9oovgj38Mz3/0oz3nbd68nxrWRGVl8N3vwtq1TV9HRUX10DTAUUeFv7/9bXpta4qWupSvEruINDcl9gxpSGLv3h3OPBN+8APo0WPPeS+/DOXl+7GBjfTKK/DLX8K55zZ9HZWV1YkOqofkb7ihZa+nvnx52MGo2qnaXyoqwmtBuGa8iEhzUGLPkBzbSYXXfYGaKrfcAps2hWPOAAcfHJLo979fPSQ/bx6sWRN+3z59esufTV5UFP7On193vRkzwlB7TRfb2bvH3q1b9fMJE6ovVrO/b+f6j3+Ev/ffv39f59e/rn7+yiv797Vq89574VCPiCSHEnuG9Oy4iu3er1HL/OUv8PHHcOedYfrWW0Pyu/POkPgOOQT+67/g8svhC19omeT+wgvwySfw/vthurw87IRAzcPZN9wQ/i5YsO8JgJWVeyZ2gH//9+rnffuGnYJ27eDmm0PiXbYsrGf2bPj5z2tv59KloZ2lpeGY/erVoXz9+j3bsXMnvP56eJ46PL56NaxcWfv6m+Kf/6x+Pndu3cP/O3fCM8807+sD/Mu/wJQpsHFjMi96JNImuXssHsAkYBmwArimvvpjxozxuJg7d26j6m/fut39IXzu/9zU5NecMcM9fBXX/jjrLPdbbnG/4gr3n/3M/dhj3c8+272kJKyjosL9oYfcN21yr6x0v+SS9/z736+eX28c26tfq6Cg+vnXv+4+dmx4PmOG+3e+4/7qq2GZoUP3bOPOne6ffur+8cfVZXu74Qb3MWNqjzMrq/r5xInr/IIL3IcMcb/44tCWM86oebnTTqt+/pWv1Fynf3/3Bx6onr7zTvfCQvfi4tC2Xbvc77vPvazMff589y98wX3jxj3bv25d+P9WqXo+bVrNrzdgQLF//vPu778f6j33nPuXvhTm9+rlfvLJ7ldf7V5eHuZ//LH7n//csPesyvr17kVF+77+jh2NW8/eKivd3357z8/Epk0N36Ya+hqzZ1fHvz819rMdR4ohHpojBmChNySfNqTS/n4A2cB7wECgHfA6MKyuZVprYi/dXuqvz37R/SH85Ucfb/JrVlS4P/GE++bN7t/7nvvUqe5/+pP7KafUn/AHDHA/6ij3446rvc5JJ7l/97shiVx2mfuIEe7DhrlPmuT+n//pft55+y5z+ul1r/P3v3fv0qX+9tWmqCgkuG7d3HNyQqw9e9a/vv31yMmpfj5+/J7zpk5179w57EyB++TJ7hdcEP6fAwaE/+Xhh1fXHzSo5tcYMqT21z/hBPdrr63esTn/fPd33w3bw4IFIfFt3uy+fLn744+7r1zpvmJF2LmrLY7DDnP/1rfcb77Z/S9/CTtihx/u/sor7tdc437//e4jR4YdkF/9Kuw8nnVW2EFbs8b9ySfDei6/fLnfdpt7795hulOn5kvuVTtqP/95/XWrdqLKy8PnZcOG8D9I3dGqS9Vne9eu2nck/vlP923bGra+TGiupFhZ6b54sft//3fN8ysqmuVlatSYGDZsaNj7u2PH/m3z3loysVuom1lmdixwo7tPjKavBXD3n9S2zNixY33hwoXN1ob33w/HVvv0CfcCP+KIhi33ySewZMkLnHzyhH3mrXnnfcpnT6Koy3/QKX8Axe/OYkz3e+mcF64H+8mEDfTsc1CzxZDqD3+As84Kz198EU44ITw//PAwfJ3q0EPDneM2b66gtHTPsfAOHeo/Y/sPf4DvfS88du2Cq68Ow7szZlQfDx86FN59t/Z1HH98GGafORN69WpEoCmefhqWLFnK4MEjeOUVeO218Bg1ChYtgnvuCW3cvBleegnGjQsnIU6YAD/5CXz0EXzmM7B1KwwaFIbpL744rON73wvtnzgRnn22ae2ryamnwk9/Gi7Gk5sbhtwffHARl102huOPD+2s0qVLOKfi978Px8ZvvDH91//JT8LdAl9+Gb797RDj/vwp5eGHh/V/7nPh7yuvhBMmu3UL7/ugQeFQzqGHwsCBcOCB4fN49dVh+xg+HJ56KqzrqKNg7FiYNSu8d+edB2+9FQ6tDBsWDrssWBBO6CwqCoeyqnTrFn5O+ckn4XPyyitw3HFwwAFw++3hpMazzoIJExazY8dR/PznkJMD//ZvoQ07d8LvfhfOC3nzTejUKRxm6twZOnYM7+UTT0BJSWj3xRfDYYeFdr7xRohr5crQ3oMOCttdfj5861th+alTQ/lhh4XP70EHhe34hRfCa23eHHbFTjoptN09vH+PPRb+X+Xl4RoQ27fDBx9s5OCDD6SsDE4+Oax/6dLQxvz88H95552wXLt24dbQGzaEX+V06warVoVt9JNPqv9/114b3p+5c8Nnu2vXsB0ddxwMGBDeg02bQtv79YPTToNJk8I6uncP633iifB/Puig8Bg6FHr3hp49w7LvvBO+h1euhJycRaxdO4YdO2Dw4FBn6NDw2Vy1Kmw7W7eGQ5V33BHqTJgQDt9t2RIOOQ0eHNq5cWN4/ZEjw/b27/8O48eH5d94A84+O/w/n3km5IQrrwzb0vDh4f3bujUcMrz11vDdeOKJ4VFWBr/4RWjzZZeF9ylVYWEhBQUFaX1+zGyRu4+tt15MEvvZwCR3/3/R9PnAMe5+RW3LNGdiHz26+rhqlc6dw4ctLy98oXbrFr6AcnLChpmbG5Z57bVQ/4tfDAmzd+/wwXnzTbj8uO/z/TNqPvBbuP67FFz9383S/pp88AH07x+eu4d2du8ePrQvvRROvlu9Ony4Bg6M2hRteO+9BwsXhiT9ta+FDXbjxvBFnJ0NDz8MkyeHL49334ULLghfXu7Vv0Gvet2qD+eOHXDXXVBYGL7Uv/jF6i+G7t2rTwxMV20fnvLy8N6VlsKHH4YvzMZwD+/v0KHV06tXhw/6+PGhbPbs8MX27rvw0ENwySXhC6tDh7DzM3p02K5eey186PPza447NYaVK8P/6IwzwpdX6v/4lltCoqyshC9/Gc45J/y/zz8/3Of9ww/DNtyzZ/hye/318H/44Q/DtjF3bvjFRapdu8L/6Lbbwnt90UXhPZs9O3wG3nwzJLD27cMORm5uiPGxx8KXIsC0aVBWtpJRowbSv39IwP/xH2E7KinZM8HuL+3ahaSbev8BCNt/1bkNPXvumaz2l06dmv/eDlU7efVp377+OyQOHNh854/k5IRtLCsrvAdt9XbEgweHjsMFF1Rff6QtJvavAhP3SuxHu/uVe9WbCkwFyM/PH/Poo482y+vfe+8AVq7sxLBh2+jd+1NWr+7ERx/lUVqaxebN4cz1bdtyqfpXffppNuXlxo4dObt7uIccsp1evXZSXJxDSUkOQ4aUcPFnf8DXjv4di9eMJzdrJx3blfBh8SC2DrmULr261dacZvP0073p1q2ME05o2LdXSUkJnTt33s+t2r8yEcN99/UnP38nkyeva5b1teb3oWrHo64Ytm/PZsOGPDZubMfq1R3p3r2Mvn13kJUFH33Ung4dKhg0qIQPP+zI0qVddy83evQW5szpxamnrmfgwO0sXNiDDz7oyMSJ66OdyC507FhBp07lHHxwKRUVWXTsWM4LLxxEVpYzZsxmOneuYO3aPDZtasegQSWsW5fHp59ms21bLsuXd6GyEgYPLmHt2g507FjOli0V7NrViXPOWcOyZZ054ohiVqzozDvvdKVz5zLA6N9/O+3aVfLPf3Zm4MDtFBfn8vHH7di2LZdx4zbxmc+U8te/Hkz79hV06lTB8uWdWbq0GwMGbGfUqC18+GEHDjlkBy+8cBCnn/4Rw4dvZcGCA9iyJZcuXcrp0WMX/fp9yocf5rFxY3t69NjFEUcU88EHHXnrra4cdlgJTzzRjwMO2EVBwQbmzMnnoIN2Mn78Rnr02MUbb+TQr18WvXqVsnp1R0pKcjnssBLy8iooK8uiW7cytmzJJSfHeeedLrgbBx64k40b29O5czldupTRrl0l2dnOxo3t6dKlnA4dKpg//0DGj9/IJ5+0Z8mS7kyevJZOncKeVHm5kZPjlJTksHhxD8aM2cTy5V3o0KGCDz7oyPLlXejTZweHHrqDnj13kpdXyZ//3JvsbOfAA3eRl1dBRYWxZk1HzJwuXbYxbFg5PXvu5Pnn8znwwJ3s3JnNsGHbWLasC2VlRv/+Ozj44E/ZujWXXbuy2bgxfHe3b1/JqlUdee21A8jP30nfvjtYvz6PQYNKMIODDipl/vyeDBpUQm5uJStXdmL9+jyOPHIzRx65hdmz89m6NZcOHSro0aOM7t13UVycy8CBJfTrt4P33uvM8uVdWLmyEz177uTII7fwyCOHsHVrLuef/wGTJn0ENM/n+qSTTmpQYq93rL4lHsCxwLMp09cC19a1TKs5xl6+s8XakS6doBIPiiE+khCHYoiHljzGHpefuy0ABpvZADNrB5wLzMpwm5pHdsN+qy4iItIccjLdAAB3LzezK4BnCWfI3+fub2W4WSIiIq1OLBI7gLs/A+yHS3CIiIi0HXEZihcREZFmoMQuIiKSIErsIiIiCaLELiIikiBK7CIiIgmixC4iIpIgsbikbFOY2cfAB5luR6Qn0AJXnd7vkhCHYoiHJMQAyYhDMcRDc8RwqLvXe+ewVpvY48TMFnpDrt8bc0mIQzHEQxJigGTEoRjioSVj0FC8iIhIgiixi4iIJIgSe/O4O9MNaCZJiEMxxEMSYoBkxKEY4qHFYtAxdhERkQRRj11ERCRBlNgbyMws022QIAnvRRJiSIKkvA9JiEMxNB8l9obrDmBmsbnVbWOZWfeU57HYAJuoXaYb0Ay0PcVDErYlgM4AZpad6YakoUPVk1a8PcWi3Urs9TCzbmb2N+CvAO5enuEmNZqZnWZmLwC/NrNrAbwVnlxhZqeb2V+B283s/Ey3pym0PcVDQrYlM7NeZlYI/A7A3Ssy26rGM7PJZvYccIeZfQ1a7fb0FPDfZlaQ6fYosdevFNgMjDCzr0Lr2is2s6OBG4FfEs7KPMrMRmS0UY1kZjlm9p/AD4FfAS8Cp5vZGZltWZNoe8qgJG1LUfIrjR6fNbPTAMys1Xyvm9mphO3pduA14HNm9pmMNqoRzCzXzH5JiOE3wFbgPDM7JpPtajUbQCZEX7jdgVeAc4D/gbBX3IqGio4D5rn7LGANUAG8V/Xhbw1xRL3alcC57v5XYBawllY2jKrtKfOSsi3B7gTeF1gCXANcD+DulZlsVyNNAJ519z8BC4Fcd1+b4TY1mLuXAcuA89z9L4SRk+6Ez0XGtNrje/uDmV0FjATmA/dHX7jbgMnufrKZvWFm1wN/cPelZmZxGzJKieE1d78HeA74q5nlAV8mfKndRfhS/q+MNbQeZjYFWOvus6OiPwDlZpbr7sVm1hfomLkW1k/bUzwkYVuC3e/FZ4AF7v5/7l5pZmuBIcAvgHVmdhnwvLsvz2Rba5MSw2J3fxz4M/A3M8sFpgDLzOweQox3x/QzcTawxt1fjYoeIGxP7dx9rZl1AQ7MWAMB3F2PsN1cSOhJTQJeAP4TOAzoBdwS1bkIKAcWRtO5mW53PTH8F2HvsQdwK3BGVO8IYCkwPNNtriGGHsBMYB3wBpAdlWel1MkD/ggcnun2anuK7/aUoG3JgKuBvwNnA+9E780BwFjghqjed4HtwJ+i6ZxMt72eGP4foXM5CLgPOD6qezrwF6B/ptu9Vwy9os/B2mibyaphe+oBPA8cnMm2aii+2ueBn3kYnvsO4QP/VeBT4LTohKergDlU31Uubic+7R1DLnCFu28m7NVXtftdQi+yfUZaWYeorX8jJItFRMOLe+kO5Ln7MjPrZ2ZntWQbG0jbU4YlZVvykDFOAq5z95mEBDkaOAX4CDjRzJ4BvkFInCujRWNzIl0tMYwAznH3FcAAwg4YwJvAeiBWPXV33wA8RdjRXQdcWjUrpdqhwFZ3/8jM+prZ51q4mYCOsaeeaPIP4AsA7r4QeJmwsR0PzCYMRY5291OBAjMbEG2sGVdPDP3NbBghgfzOzDoC1xE+VEUZaG6tUo7PPujuW4DpwFfM7FAPw45Vh44GAl3M7NuEY6T13sawpWh7iofWui3tfY5CynuxEDgBINrRWgZ8lpDg1xCGrocD5xK2pz6Z2p4aGcNoMxtE6OX+PKr3DaAP4STTjKgjhv8B3ibsME42s97u7inbUx8g28yuJBxmOLil2pyqzSV2MxseHR8E9jjR5O9AlpmdGE2/BXwIdAGud/frUlZziLu/3yINrkEjYlhK+LId6u63Ej5IM4FhwFeiPdCMqSEOj/6WRn8XEIbkfhRNV/VoxwDHEobwJrv7b1qy3anM7DgzO6xqupVuTw2NIbbbUw0xtLptKdIhdSLlvVhB2AEZGU3PA7oCHwOXufsNUf1NwHHu/mELtbcmDY3hBaATYdRkOpBj4ad7w4Hz3X1byzS3RjXG4O5l0bbzMmGk6qqovGp7OgU4g7A9ne7uD7dYi1O0mcRuZp81s5eAW0g5sSFlT2w54cv3HDPLdvc1hJM8DnX3XWaWXVXX3be3cPOr2trYGIqAfODwaP7FwL+5+3nuvo4MqSMOs31/qnMnMCjaCcg3swOBucAEd7/CM3QGrZkdFQ2nzwG6pZS3pu2psTHEbnuqI4ZWsy0BmNl4M/s/wrUBTrXoJ5ApPcHXCEPrp5hZjru/RRj2PdLdS6PtyQDcvaSVxPA20A84OtohOQ/4V3c/x90/ilkMtlcv/hPCCM/h0ZB7flT+KHCqu38rkztXbSaxE4YLZ7r7l6v+4dGXVdXeZDHhN63tgF9YOEuzO7ARwk+SPPM/I2lKDD0Ix6tw913RsGSm1RaHR8OkHcysM4C7rwaeJBx3m0dIjEvd/cVMNNzC71Z/S/gN9x3As0BBSgyx357SjCEW21MDYoj9tlTFwgVNphPO1l8GfB3oYWZZVT1BD8ehFxB6gtdEi+4EVkXzKzJ5KCeNGEqJzglw9x0ZHvUpoPYYPBpyb29m7aP/9zzCju9SoNDMBrv7K+7+XKZiqJL4xG5mWdEQXYm7/yoqO8XC5TAtmr4FeJhwcYHrCV9eL0bTMzLS8BRJiAEaHMfNwEOEY5+Y2XnANwk/5xnh7osz0vhq7QlJ4QR3f5rwJXBE1AOpADCzHxLv96KtxHAD8d6WqnyWcIz8IeB/CScpllTtYJnZLWZ2L+EEwDuAo81sEbCJcKw3DtpCDDcRfqfeO5q+jHAC3W+Bz3qcfmLoMfgZQXM/gPHAkJTpLoRhxS8QfqbwLPAgcC3Qn/AFNiilfhbQRTHEIo7xwIC4xEB0q+OUeRcDv6maR/hyeBg4LE7vhWKIx7a0dxzR9GhCgruBMBpSSPj51znAv9TwmegMdFcMGY/h5NTpOD0y3oBmfqO6E85ELCYM93ZKmfefwGLgi9H0iYSfLhybUierJdub1BiaKY7suMYQJY6q37AOir4EelTNi9N7oRjisS3VEkfnlHlHR0nkrGj6YuAeYFTM34u2GEMstqe6Hkkbiu9E6AFeGT0/MWXe04Qe4QHR9ELCb0BLIQwTe+aPoUMyYoD044jDb3BrjMGDyujkrFVRnQlV8yBW74ViiMe2BPvGcULVDHd/jfBTu6prA8whJKDNEOv3oi3GEJftqVatPrGb2QVmNsHMuno4Eetu4HFCkjjGzPoAuPsbwH8Al5tZT8KJESOpPpkpYxtcEmKAZMTRgBg+E9WzqJ1VP9er2impOjNZMaQhCTFE7WhoHO0JP6H6ZrTo5wk7vlU/12sN74ViiAmLdmxblehDezDhmEcl8B5hz+tb7v5JVOc44F8Jl+v8fcqy/044mWYwcLWHn1y0uCTEELWl1cfRyBgWuPv/RmXZHq7//nvgPXe/MRPtj9qiGGIQQ9SeJn0mzGw44fjuwUAZ4Sp/77R8BIqBmMTQZJk+FtDYB9XXex4C/G/0PIdwRaA/7FX3asJvpbuRcuIPGb4mdxJiSEocacTQUTEohmaKozvQISrrAAxUDIohnUerGYq3cB/lHwM/NrMJhItkVMDuq/5cBRwbzatyD+Hsy9nAiqrhFg+32mtxSYgBkhFHM8TwvmJIXxJigGaJY5WFy8B+6u4ryQDFEI8YmkOrSOzRm7CI8FvaFcDNhCGSk8zsaNh9ssxNhBveV5lMOFbyOjDSM3tlqVYfAyQjDsWgGJpTM8SxhBBHxq5UphjiEUOzyfSQQUMehLMWz0+Zng5MI9y6cFFUlkU4JvI40e3+gDOBEzPd/qTEkJQ4FINiUByKIY4xNNejVfTYCXthj1t03V7CzSkOcfcHiO6k4+Fsxb5AhbuvAnD3pzxc9i8OkhADJCMOxRAPSYgBkhGHYkiQVpHYPVxDeKdX/37wFMJdjSDc4u8IM3saeIRw4ZPdP3eJiyTEAMmIQzHEQxJigGTEoRiSJaf+KvER7Yk54Q5Ts6LiYsKVzEYA73t0fMSjMZa4SUIMkIw4FEM8JCEGSEYciiEZWkWPPUUl4cL8nwCfjfa+/guodPeXvHWc9JCEGCAZcSiGeEhCDJCMOBRDEvh+PIC/Px6EC/dXAi8BF2e6PW01hqTEoRji8UhCDEmJQzG0/keru/KcmfUFzgdudfedmW5PUyQhBkhGHIohHpIQAyQjDsXQ+rW6xC4iIiK1a23H2EVERKQOSuwiIiIJosQuIiKSIErsIiIiCaLELiIikiBK7CIiIgmixC6yH5jZjWb23f2w3v5mtrSZ1vWAmZ3dTOvqb2b/ljI91szuqGeZy8zsguj5hVX3VU+zHRea2Z311Ckws39J97VE4qpVXSteRGKrP/BvwMMA7r4QWFjXAu7+m5TJC4GlQEvcW70AKAFeboHXEmlx6rGLNBMz+4GZLTOz54DDo7LRZvaKmb1hZk+aWQ8z62Vmi6L5o8zMzeyQaPo9M+sY9abvMLOXzWxlTT1rM8szs/vN7E0z+4eZnRSV9zezF81scfT4l6jczOxOM3vbzP4M9KonnuvNbIGZLTWzu6vuhGVmg8zsOTN7PVr/YcBPgRPMbImZXR31ip82sywzW2Vm3VPWu8LM8qtGNaLYxgIPRctPNrMnU+qfYmZ/qKOd3zCzf5rZC8BxKeVnmNmr0f/mueg1+wOXAVdHr3WCmR1kZv8XxbrAzI6r5aVEWgUldpFmYGZjgHOBI4GvAOOiWQ8C33f3zwJvAje4+wYgz8y6AicQerYnmNmhwAZ33xEt2xs4HvgCIXHu7XIAdx8JnAfMMLM8YANwirsfBZwDVA2Jf5mwwzESuASobzj6Tncf5+4jgA5ROwAeAn7t7qOidawDrgFedPfR7n5b1Qo83P/6qei1MbNjgFXuvj6lzszof/A1dx8NPEO4xeZBUZVvAPfX1EAz6w38kJDQTwGGpcx+CRjv7kcCjwLf83AP7t8At0VtfRG4PZoeB5wF/K6e/4tIrGkoXqR5nAA8WZWUzWwW0Ano7u4vRHVmAE9Ez18mJKMTgR8DkwADXkxZ5x+jxPi2meXX8JrHA/8D4O7vmtkHwBDgA+BOMxsNVERlRK/1iIf7Va81szn1xHSSmX0P6AgcALxlZoVAH3d/Mnrd0ijeutbzGHA9ITmfG03Xyt3dzH4PfN3M7geOBS6opfoxQKG7fxy14zGq4+0LPBYl/3bA+7Ws42RgWEoMXc2si7sX19VOkbhSYhdpPo258cKLhJ2BQwk92u9Hyz+dUif15hU1Zc7asunVwHpgFGFUrrSxbYx6/tOBse6+xsxuBPLqeM26zAcGRT3wLwG3NGCZ+4E/Edr+hLuX11G3tpj+h3ATkFlmVgDcWEu9LOBYd/+0Ae0SiT0NxYs0j3nAl82sg5l1Ac4AtgObzeyEqM75wAsp9b8OLI965ZuA04G/N/I1vwZgZkOAQ4BlQDdgXbTe84HslPrnmll21Is9qY5150V/PzGzzsDZAO6+DSgysy9Fr9vezDoCxUCXmlbk4U5TTwK3Au+4+8Yaqu2xvLuvJZxIdx3wQB3tfBUoMLMDzSwX+GrKvG5A1b23p9T2WsDfgCuqJqKRDpFWS4ldpBm4+2LCEPMS4P+oHlKfAvy3mb0BjAZuiuqviubPi/6+BGxx982NeNnpQLaZvRm99oXRLSqnA1PM7BXCsPT2qP6TwHLCsf67qN7JqCmeLcA9Ud0/AgtSZp8PXBXF9FTDcFgAAADISURBVDJwMPAGUB6dUHd1Dat8jLAjU9sw/APAb6IT2jpEZQ8Ba9z97TrauY7QE58PPAcsTpl9I/CEmb0IfJJS/ifCTtiSaKfrKmBsdILj24ST60RaLd22VURiycLv0f/h7vdmui0irYkSu4jETvRzwO2Es/t31ldfRKopsYu0cdFvxgfsVfx9d382E+2pjZm9CrTfq/h8d38zE+0RiSsldhERkQTRyXMiIiIJosQuIiKSIErsIiIiCaLELiIikiBK7CIiIgny/wEfzAsrwye00AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116bae908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAFNCAYAAACdYWzWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzs3Xl8XVW99/HPLyfz0LmU0ta2UGihLRQqkyCkiFBARAUeQJEiCshluPA81wEvjyKIolfhyuNYBi1XZLAK9HJRRGgYlBkZylAppYXSSumQNkmb4Zzze/5Y+2RoTpqT3fSEJN/365VXTtZee+91VtPs71l77b3N3REREZHBq6CvGyAiIiJ9S2FARERkkFMYEBERGeQUBkRERAY5hQEREZFBTmFARERkkFMYEBERGeQUBkRERAY5hQEREZFBrrCvG5Avw4YN8ylTpnRbr6GhgYqKijy0aHBTP+986uP8UD/nh/q55xoaGnj99dfXufvo7uoOmjAwZswYnn322W7r1dTUUF1dvfMbNMipn3c+9XF+qJ/zQ/3cczU1NcyZM2dlLnV1mkBERGSQUxgQEREZ5BQGREREBrlBM2cgm5aWFlatWkVjY2Nr2dChQ3nttdf6sFWDw/b6ubS0lPHjx1NUVJTnVomIDE6DOgysWrWKqqoqJk2ahJkBUFdXR1VVVR+3bODrqp/dnfXr17Nq1SomT57cBy0TERl8BvVpgsbGRkaOHNkaBKTvmRkjR47sMFojIiI716AOA4CCwAeQ/k1ERPJr0IcBERGRwU5h4APgmmuuYfr06ey7777MmjWLp556iv/8z/9ky5Ytfd00EREZBAb1BMIPgieeeIL77ruP559/npKSEtatW0dzczOnnXYaZ555JuXl5Z3WSaVSJBKJPmitiIgMRBoZiKm5sZkt/3yNluaWHdrOmjVrGDVqFCUlJQCMGjWKhQsXsnr1aubMmcOcOXMAqKys5Jvf/CYHH3wwTzzxBM899xxHHnkks2fP5thjj2XNmjUA3HjjjRx44IHst99+nHzyya2jC2effTYXXHABc+bMYffdd+eRRx7hnHPOYe+99+bss88GQsg4++yzmTFjBjNnzuT666/fofcmIiL9g0YGIpdeCi+8AKlUGbl86E4lC0j4eNIFBRR0UX/WLPjP/9z+do455hiuuuoq9tprL44++mhOO+00LrnkEq677joWL17MqFGjgPDAiRkzZnDVVVfR0tLCkUceyb333svo0aO58847+fd//3duueUWPvOZz3DuuecCcMUVV3DzzTdz8cUXA7Bx40YefvhhFi1axIknnshf//pXbrrpJg488EBeeOEFUqkU7777LkuWLAGgtrY2t84TEZF+TWFgh/kOrV1ZWclzzz3HY489xuLFiznttNO49tprO9VLJBKcfPLJACxdupQlS5bw8Y9/HAif6MeOHQvAkiVLuOKKK6itraW+vp5jjz22dRsnnngiZsbMmTMZM2YMM2fOBGD69OmsWLGCI488kuXLl3PxxRdzwgkncMwxx+zQexMRkf5BYSCS+QRfV7c1p5sONdQ2UJF6gy2FUykfumM3KUokElRXV1NdXc3MmTNZsGBBpzqlpaWt8wTcnenTp/PEE090qnf22Wdzzz33sN9++/HrX/+ampqa1mWZUxEFBQWtrzM/J5NJhg8fzosvvsgDDzzAT3/6U+666y5uueWWHXpvIiLywac5A3F5ZkRgx0YGli5dyhtvvNH68wsvvMDEiROpqqqirq4u6zpTp07l/fffbw0DLS0tvPLKK0C4s9/YsWNpaWnhtttu61Fb1q1bRzqd5uSTT+bqq6/m+eefj/muRESkP9HIwA7asSgA9fX1XHzxxdTW1lJYWMiUKVOYP38+t99+O8cddxxjx45l8eLFHdYpLi5m4cKFXHLJJWzatIlkMsmll17K9OnTufrqqzn44IOZOHEiM2fO7DJQZPPuu+/yhS98gXQ6DcD3vve9HXx3IiLSH5j7jh7O+oepU6f60qVLO5S99tpr7L333h3Kcn02QcPGWirSy2hI7EXFsCG92tbBoLt+zvZvIz1TU1NDdXV1XzdjwFM/54f6uedqamqYM2fOc+7+4e7q6jRBTJ7llYiISH+kMCAiIjLIKQzENUhOr4iIyMCnMLCjFApERKSfUxjYQYoCIiLS3ykMxBbFAI0MiIhIP6cw8AFw9913Y2a8/vrrXdY5++yzWbhwYdZlP/zhD5k2bRozZsxgv/3249Zbb91ZTd2ub37zm/zlL3/pk32LiEh8CgM7bMdHBm6//XYOP/xw7rjjjh6v+4tf/IIHH3yQp59+miVLlvDoo4/SV/eOuOqqqzj66KP7ZN8iIhKfwkBcvXS8ra+v569//Ss333xzhzDg7lx00UXss88+nHDCCaxduzbr+t/97nf52c9+xpAh4cZHQ4cOZd68eUA4OB944IHMmDGD8847rzUkVFdXc9lll3HEEUew995788wzz/CZz3yGPffckyuuuAKAFStWMG3aNObNm8e+++7LKaec0vo45K6223704v7772fatGkcfvjhXHLJJXziE58A4Morr+Scc87h+OOPZ/fdd+eGG27onY4UEZHYur0dsZmVAo8CJVH9he7+LTObDNwBjACeBz7v7s1mVgLcCswG1gOnufuKaFuXA18EUsAl7v5AVD4X+DGQAG5y92uj8h7vI7bnLoWNL1CWSpHLM4zLWpLAVsoog6IuunH4LJi9/WcY33PPPcydO5e99tqLESNG8Pzzz3PAAQdw9913s3TpUl5++WXee+899tlnH84555wO69bV1VFXV8cee+yRddsXXXQR3/zmNwH4/Oc/z3333ceJJ54IhFsaP/roo/z4xz/mpJNO4rnnnmPEiBHsscceXHbZZUB4bsLNN9/MYYcdxjnnnMPPfvYz/u3f/m272wVobGzk/PPP59FHH2Xy5MmcccYZHdr1+uuvs2jRIiA8Z+GCCy6gqKhou/0kIiI7Ty4jA03AUe6+HzALmGtmhwDfB6539z2BjYSDPNH3je4+Bbg+qoeZ7QOcDkwH5gI/M7OEmSWAnwLHAfsAZ0R16ek+8qt3HlR0++23c/rppwNw+umnc/vttwPw6KOPcsYZZ5BIJNhtt9046qijOrfAHTPrctuLFy/m4IMPZubMmTz88MOtDzMC+OQnPwnAzJkzmT59OmPHjqWkpITdd9+dd955B4AJEyZw2GGHAXDmmWfy+OOPd7tdCAf73XffncmTJwN0CgMnnHACJSUljBo1il122YX33nsv9w4TEZFe1+3IgIcx4Prox6Loy4GjgM9G5QuAK4GfAydFrwEWAj+xcMQ6CbjD3ZuAt8xsGXBQVG+Zuy8HMLM7gJPM7LWe7sN35GR59Al+a47PJti6fj2VvMVWJlM5cmSsXa5fv56HH36YJUuWYGakUinMjB/84AcA2z3QAwwZMoSKigqWL1/O7rvv3mFZY2Mj//Iv/8Kzzz7LhAkTuPLKK2lsbGxd3t3jjLPt38y63S7Q7ZyF9vtLJBKt+xMRkb6R05yB6BP8C8Ba4EHgTaDW3TN/xVcB46LX44B3AKLlm4CR7cu3Waer8pEx9pF3vgMjAwsXLuSss85i5cqVrFixgnfeeYfJkyfz+OOPc8QRR3DHHXeQSqVYs2ZNpycXZlx++eVceOGFbN68GYDNmzczf/781gP0qFGjqK+v7/JKhO15++23Wx+TnJnkmMt2p02bxvLly1mxYgUAd955Z4/3LSIi+ZPTI4zdPQXMMrNhwN1AtsfJZY6K2T7O+nbKswWS7dXf3j46MLPzgPMARo8eTU1NTYflQ4cO7fSI31QqldNjf1tamqEIWppbevSY4PZ+85vfcNlll3VY/4QTTmDBggVcd911/OlPf2L69OlMmTKFww47jK1bt3ba15lnnsn69euZPXs2RUVFFBUVcdFFF5FIJDjrrLOYPn06EydOZNasWTQ1NVFXV0cqlaKhoYG6ujq2bNlCMpls3W5mWWlpKVOnTuWmm27i3HPPZY899uA73/nOdrfb0tLC1q1bSSaT/OhHP+KYY45h5MiRzJ49m5aW0E9NTU0UFRW19nM6naa+vr7T+2psbOz07yU9U19frz7MA/Vzfqife66+vr77Shnu3qMv4FvAV4B1QGFUdijwQPT6AeDQ6HVhVM+Ay4HL223ngWi91nWj8sujL+vpPrbX7r322su39eqrr3Yq27x5c6eybDavW+e+7hnf/P77OdXvb9566y2fPn167PXr6urc3T2dTvsFF1zg1113XYfl3fVztn8b6ZnFixf3dRMGBfVzfqife27x4sUOPOs5HNu7PU1gZqOjEQHMrAw4GngNWAycElWbB9wbvV4U/Uy0/GF396j8dDMria4S2BN4GngG2NPMJptZMWGS4aJonZ7uI496ZwLhQHXjjTcya9Yspk+fzqZNmzj//PP7ukkiItKFXE4TjAUWRLP+C4C73P0+M3sVuMPMvgP8Hbg5qn8z8F/RBMENhIM77v6Kmd0FvAokgQs9nH7AzC4ifNpPALe4e2Z6+td6so+86upExgAxadIklixZEnv9yy67rPUSRRER+WDL5WqCl4D9s5Qvp+1qgPbljcCpXWzrGuCaLOX3A/f3xj56yru5PE/yL++DPCIig9ygvgNhaWkp69ev37GDjw5cvcrdWb9+PaWlpX3dFBGRQSOnqwkGqvHjx7Nq1Sref//91rLGxsacDkSN9fWU2noa02lK163fmc0ckLbXz6WlpYwfPz7PLRIRGbwGdRgoKipqvUteRk1NDfvv3+msSCeP/eom9i85l0cabmD/cy/eWU0csHLtZxER2fkG9WmCHdF6syFP921DREREdpDCQFzRXAFXGBARkX5OYSA2jQyIiMjAoDAQlysMiIjIwKAwEJvCgIiIDAwKAzG5RgZERGSAUBiITWFAREQGBoWBuFrvPKgwICIi/ZvCQGwaGRARkYFBYSAuzRkQEZEBQmEgNp0mEBGRgUFhIKbWOw9qZEBERPo5hYG4dJpAREQGCIWB2HSaQEREBgaFgbhaRwZ8+/VEREQ+4BQGYtPIgIiIDAwKA3FpzoCIiAwQCgOxhTBgGhkQEZF+TmEgNo0MiIjIwKAwEJeeTSAiIgOEwkBsOk0gIiIDg8JAXJpAKCIiA4TCQGw6TSAiIgODwkBsOk0gIiIDg8JAXK2nBxQGRESkf1MYiC0aGdCcARER6ee6DQNmNsHMFpvZa2b2ipn9a1R+pZm9a2YvRF/Ht1vncjNbZmZLzezYduVzo7JlZvb1duWTzewpM3vDzO40s+KovCT6eVm0fFJ3+8gbXVooIiIDRC4jA0ng/7j73sAhwIVmtk+07Hp3nxV93Q8QLTsdmA7MBX5mZgkzSwA/BY4D9gHOaLed70fb2hPYCHwxKv8isNHdpwDXR/W63EfsXohFcwZERGRg6DYMuPsad38+el0HvAaM284qJwF3uHuTu78FLAMOir6Wuftyd28G7gBOMjMDjgIWRusvAD7VblsLotcLgY9F9bvaRx5pZEBERAaGHs0ZiIbp9weeioouMrOXzOwWMxselY0D3mm32qqorKvykUCtuye3Ke+wrWj5pqh+V9vKH9fIgIiIDAyFuVY0s0rg98Cl7r7ZzH4OXE34iHw18CPgHMCyrO5kDx6+nfpsZ9n21mnf5vOA8wBGjx5NTU1NltU6qq+vz6nepk21MBqaGrfmVF86yrWfJT71cX6on/ND/dxz9fX1OdfNKQyYWREhCNzm7n8AcPf32i2/Ebgv+nEVMKHd6uOB1dHrbOXrgGFmVhh9+m9fP7OtVWZWCAwFNnSzj1buPh+YDzB16lSvrq7u9r3W1NSQU70X/wxAaWkxh+ZQXzrKtZ8lPvVxfqif80P93HM9CU+5XE1gwM3Aa+5+Xbvyse2qfRpYEr1eBJweXQkwGdgTeBp4BtgzunKgmDABcJG7O7AYOCVafx5wb7ttzYtenwI8HNXvah/5o9MEIiIyQOQyMnAY8HngZTN7ISr7BuFqgFmE4fkVwPkA7v6Kmd0FvEq4EuFCd08BmNlFwANAArjF3V+Jtvc14A4z+w7wd0L4IPr+X2a2jDAicHp3+8gfTSAUEZGBodsw4O6Pk/0c/f3bWeca4Jos5fdnW8/dl5PlagB3bwRO7ck+8kcjAyIiMjDoDoRx6TSBiIgMEAoDsSkMiIjIwKAwEJseVCQiIgODwkBcOk0gIiIDhMJATKbTBCIiMkAoDMQWhQFTGBARkf5NYSA2jQyIiMjAoDAQl+YMiIjIAKEwEJtOE4iIyMCgMBCbRgZERGRgUBiITWFAREQGBoWBmEynCUREZIBQGIgthIECjQyIiEg/pzAQl2ceYezbrSYiIvJBpzAQm04TiIjIwKAwEFsIATpNICIi/Z3CQEyaQCgiIgOFwkBsCgMiIjIwKAzEpqsJRERkYFAYiMs1MiAiIgODwkBMmjMgIiIDhcJAbDpNICIiA4PCQGwaGRARkYFBYSC2aGRAYUBERPo5hYGYNGdAREQGCoWB2DRnQEREBgaFgdg0MiAiIgODwkBMpjkDIiIyQCgMxKaRARERGRi6DQNmNsHMFpvZa2b2ipn9a1Q+wsweNLM3ou/Do3IzsxvMbJmZvWRmB7Tb1ryo/htmNq9d+Wwzezla5wYzs7j7yBfLPLVQYUBERPq5XEYGksD/cfe9gUOAC81sH+DrwEPuvifwUPQzwHHAntHXecDPIRzYgW8BBwMHAd/KHNyjOue1W29uVN6jfeSXThOIiMjA0G0YcPc17v589LoOeA0YB5wELIiqLQA+Fb0+CbjVgyeBYWY2FjgWeNDdN7j7RuBBYG60bIi7P+HuDty6zbZ6so88ypwm8PzuVkREpJf1aM6AmU0C9geeAsa4+xoIgQHYJao2Dnin3WqrorLtla/KUk6MfeSN7jMgIiIDRWGuFc2sEvg9cKm7b45O62etmqXMY5Rvtzm5rGNm5xFOIzB69Ghqamq62SzU19fnVK+gqTF8t3RO9aWjXPtZ4lMf54f6OT/Uzz1XX1+fc92cwoCZFRGCwG3u/oeo+D0zG+vua6Ih+rVR+SpgQrvVxwOro/LqbcprovLxWerH2UcH7j4fmA8wdepUr66u3rZKJzU1NeRS78lnfgyEMJBLfeko136W+NTH+aF+zg/1c8/1JDzlcjWBATcDr7n7de0WLQIyVwTMA+5tV35WNOP/EGBTNMT/AHCMmQ2PJg4eAzwQLaszs0OifZ21zbZ6so+80X0GRERkoMhlZOAw4PPAy2b2QlT2DeBa4C4z+yLwNnBqtOx+4HhgGbAF+AKAu28ws6uBZ6J6V7n7huj1BcCvgTLgj9EXPd1HfikMiIjIwNBtGHD3x8l+jh7gY1nqO3BhF9u6BbglS/mzwIws5et7uo/8URgQEZGBQXcgjKn1NEGBwoCIiPRvCgOxhTCQUBgQEZF+TmEgJmt3JaOndeMhERHpvxQGYmsLAOmURgdERKT/UhiIKfOgIoB0WmFARET6L4WB2DQyICIiA4PCQEzt5wxoZEBERPozhYHYNDIgIiIDg8JATO0fXayRARER6c8UBmLTyICIiAwMCgMxtZ8zgOs+AyIi0n8pDMSmkQERERkYFAZi0tUEIiIyUCgMxKYwICIiA4PCQEwdnk2g0wQiItKPKQzEpUsLRURkgFAYiKnjUwsVBkREpP9SGIipw4OKdJpARET6MYWB2DQyICIiA4PCQEy6HbGIiAwUCgOxaWRAREQGBoWBmHTTIRERGSgUBmLS1QQiIjJQKAzEppEBEREZGBQGYmo/gVAjAyIi0p8pDMSmMCAiIgODwkBMmjMgIiIDhcJATLqaQEREBgqFgbjMSaYS4bX79uuKiIh8gHUbBszsFjNba2ZL2pVdaWbvmtkL0dfx7ZZdbmbLzGypmR3brnxuVLbMzL7ernyymT1lZm+Y2Z1mVhyVl0Q/L4uWT+puH/lkOMl0IQCpZLIvmiAiItIrchkZ+DUwN0v59e4+K/q6H8DM9gFOB6ZH6/zMzBJmlgB+ChwH7AOcEdUF+H60rT2BjcAXo/IvAhvdfQpwfVSvy3307G3vOLM0TckSAFItzfnevYiISK/pNgy4+6PAhhy3dxJwh7s3uftbwDLgoOhrmbsvd/dm4A7gJDMz4ChgYbT+AuBT7ba1IHq9EPhYVL+rfeSV4TQnSwFINTfle/ciIiK9ZkfmDFxkZi9FpxGGR2XjgHfa1VkVlXVVPhKodffkNuUdthUt3xTV72pbeWU4TZkwoJEBERHpxwpjrvdz4GrCxfZXAz8CzgEsS10ne+jw7dRnO8u2t04HZnYecB7A6NGjqampyVatg/r6+pzqjfdU62mCt958g4Yc1pE2ufazxKc+zg/1c36on3uuvr4+57qxwoC7v5d5bWY3AvdFP64CJrSrOh5YHb3OVr4OGGZmhdGn//b1M9taZWaFwFDC6Yrt7WPbds4H5gNMnTrVq6uru31vNTU15FJv+UtGSzqMDIwfO4aP5LCOtMm1nyU+9XF+qJ/zQ/3ccz0JT7FOE5jZ2HY/fhrIXGmwCDg9uhJgMrAn8DTwDLBndOVAMWEC4CJ3d2AxcEq0/jzg3nbbmhe9PgV4OKrf1T7yyvDWMJBu0ZwBERHpv7odGTCz24FqYJSZrQK+BVSb2SzC8PwK4HwAd3/FzO4CXgWSwIXunoq2cxHwAJAAbnH3V6JdfA24w8y+A/wduDkqvxn4LzNbRhgROL27feSVOclMGEgqDIiISP/VbRhw9zOyFN+cpSxT/xrgmizl9wP3ZylfTparAdy9ETi1J/vIJ8NJeggDnlIYEBGR/kt3IIzJcFJEYUAjAyIi0o8pDMRlbWEgUf8KL/ywmn++lXUeo4iIyAeawkBMhpOmGIADRt3FrN0eYdnCy/u4VSIiIj2nMBCTRbdPaGwpYWtLOQAHjbmddEpPMBQRkf5FYSAms3D/o6ZkCcPKNgJQXNjCs9d9kuZG3ZFQRET6D4WBmMzSOEZzsoTCRLiysWb9tzlo3P/wzB8WdrO2iIjIB4fCQEyGgxktqZLWso9++d9ZuWF3Klb/sg9bJiIi0jMKAzFZ9JiETBjY2lxKoijBW/ZFZu32qK4sEBGRfkNhIK5ozkBLOgoD0STCktF7AbD5/XV91TIREZEeURiIyXC8XRhojMJAYWkFAE0NDX3WNhERkZ5QGIgpczVBMgoDTckQBorLKwFo2aowICIi/YPCQEyZOQMpD2GgOVUGQHF5GBlo2ZL7c6RFRET6ksJATK0jA5kwkI7mDFSEMJBs0siAiIj0DwoDsYVLC1OEMNDiIQyUVYXTBKkmjQyIiEj/oDAQU2ZkIL1NGCivCiMD6WaNDIiISP+gMBBT5mqCTBhIEYWBISEMkFQYEBGR/kFhIKYwMlBA2qIwYCEMFJUU0dRSDEmdJhARkf5BYSCmzNUEHoWBtJW1LmtorsRSGhkQEZH+obCvG9BfmYUJhB6dJvCC8tZlW1sqSKQ1MiAiIv2DRgZiMksDhhdEDypKtIWBxmQFCTQyICIi/YPCQEyZ0wRkwkBhWxhoSlZSqDAgIiL9hMJATGbhagISIQxYUVsYaE5XUGw6TSAiIv2DwkBMFt10KBMGCgrbJhA2eyXFCY0MiIhI/6AwEFPmpkOWCQMlbSMDSSooTWhkQERE+geFgZgycwasMISBwuK2MJCySkoLNTIgIiL9g8JATJmRgYJMGChtCwNpq6CsuOdhYPP6zbz7j7d7q4kiIiI5URiIKXOfgUwYKGoXBjxRQUVxz08TPH/r1aT+XN1bTRQREcmJwkBMmdMEpUNHAVA5alTbwsJKigqTNDc2A+Bp55Ff/id//+FRJJuTXW6zOLmKMVXv7sxmi4iIdKIwEFPmNMH+c4/i9cnPs/usaW3LisLDihpqw+jAkwv/wJFVl7H/botZ+/aaLrdZRC0lRc00bWnaqW0XERFpr9swYGa3mNlaM1vSrmyEmT1oZm9E34dH5WZmN5jZMjN7ycwOaLfOvKj+G2Y2r135bDN7OVrnBjOzuPvIp3BpYQFWYEw7dP8OywqKKwHYWh/mDTS9v7R12YZVXX/yLy3YBMDmDZt6u7kiIiJdymVk4NfA3G3Kvg485O57Ag9FPwMcB+wZfZ0H/BzCgR34FnAwcBDwrczBPapzXrv15sbZR75lRgayyVxm2NiwJRS0e4Jh/furu9xmWWEIAVtqN/dOI0VERHLQbRhw90eBDdsUnwQsiF4vAD7VrvxWD54EhpnZWOBY4EF33+DuG4EHgbnRsiHu/oS7O3DrNtvqyT7yKjOBMJvMZYbNW0IYsHZhoKm26zBQURSFgU0aGRARkfyJO2dgjLuvAYi+7xKVjwPeaVdvVVS2vfJVWcrj7COvEgXhQUXZZC4zzISBAm9gzabdaE4W4Q1dnyaoLA0hoHGzwoCIiORPbz/CONvRsavx9O2Vx9lH54pm5xFOJTB69Ghqamq62TTU19fnVK8aqK3dlLXuundWMXsoLH31ZTYkWvCt62gorCSVStCy+c2s66STKY4qDSMIb7z2MpvKBvbczlz7WeJTH+eH+jk/1M89V1+f+yXuccPAe2Y21t3XREP0a6PyVcCEdvXGA6uj8uptymui8vFZ6sfZRyfuPh+YDzB16lSvrq7OVq2DmpoauqvnaYc7YNjw4Vnrvl4yFN6CD+02loOrq3nmmf+gOV3F1qYRjCjbyOws62z85wZ4OLzebdQwDs+hrf1ZLv0sO0Z9nB/q5/xQP/dcT8JT3I+fi4DMFQHzgHvblZ8Vzfg/BNgUDfE/ABxjZsOjiYPHAA9Ey+rM7JDoKoKzttlWT/aRN2F6A3R1mqC4PJwmSDaFqwmKrIHmdCX16XEMK85+mqB+Y9upgVRTxwmEj/zoIp74j1N2sNUiIiLZdTsyYGa3Ez7VjzKzVYSrAq4F7jKzLwJvA6dG1e8HjgeWAVuALwC4+wYzuxp4Jqp3lbtnJiVeQLhioQz4Y/RFT/eRT57efhgorQhhIN0U5gwUF9TTkBpDc8FujKr4S9Z12k8a9Ka210ufepGPjvkZBQXOeyvWMGZS3udKiojIANdtGHD3M7pY9LEsdR24sIsgmEzDAAAgAElEQVTt3ALckqX8WWBGlvL1Pd1HvrSODHRxNUFrGGgJYaC0sJ7a1B54+QSGlm9i07pNDB01tMM6W9tPGmxpGxlY+9iPmTi6mNKCJpY+vIgx55zfi+9EREREdyCMpbvTBGVVIQx4MhMGGkhZJeW77g3A2y+90mmdpvq2MFCQantd6v9k+foZrFg/hbL193ZaT0REZEcpDMTQXRgoLS8NL6IwUF5cT7qgkt32DgMgG1cs6bROS0Nt+J4spNDbwkCx1dOUruK9xukMKdJzC0REpPcpDMTQOmegi9MEVmA0NJVDaguediqK6/FEBeP2mkhdYyW+sXMYSDWGAPDPzeMpou00QXGinhavJE0RCev6IUciIiJxKQzE0N3IAMDWlnIK0ltobmymqDAJhZVYgbFi4wyGeOcwkJk0uKFxAiUF7U4TFNaTpBKnkERBS6++DxEREej9mw4NCt1NIARojMLAls0NlABWFB5etNFnsHdVlnP/LZvY2lzKVh/FyMI3eGzBr0itf5lpZfUkrYoCb9TIgIiI7BQaGYih7dLCrruvKVVOgi1s2RzuAFVQEsJAunwPRle9T8Omhg71S5PLWVs3jhaGUl68iaK197FP+W+pKKkjXVCJWyGFGhkQEZGdQGEghlxGBpqjMLA1uh1korgCgIKSYQDUbfOY4gkVz/Bu44GkE8OoKqml2GoZWraRiuIGKKzEKSJRoJEBERHpfQoDMaTT6ejV9sJABUW2heaG6C6EZWFkoLA8hIGG2rYw8P7b7zFu2Ds0Vx2IFw1nSFkdFYXrKClqpqDAQxiwIo0MiIjITqEwEEN3VxMAtHg5RQUNNDWEkYGi8hAGiirCzYa2trvj4FvPhRszDp9yIFY6HIBdq1a0LrfiSrBCCjUyICIiO4HCQAy5XE2QpJySgi20bA1hoLg8nCYorQojA42ba1vrblnxKKl0AVMOPIBEWVg+tKzt8sJEaVUYGUhoZEBERHqfriaII4c5AynKKS7cQrIxnCYorQwjA2VDh8IaaG7YxOO/+S/Gb7yKDw9dwzNrTuKQoRUUVwyHrR23VVhaSVIjAyIispNoZCCGzMiAbWdkIGXllBZuIdUYRgbKqkIYqBwePvknt9bi/1zMpJHLKC5sZuxxPwCgdMjwTtsqKquEgiKKNDIgIiI7gcJADLnMGfCCckqLtpBqrgOgfEgIA1UjwpyBdOMmzFvYtGUob0//OxNnTAn1hncOA8XlYc5AQYGTTqU7LRcREdkRCgMx5DJnwBPllBdtgaZa0mmjasQQAMqrymlJFkJLLcXUsrpuD6bMnt66XtWIzmGgpDKMDAC0NGl0QEREepfCQAy53GeARDlFhUmsZR11jUMoSISutgJjc+NQLLmJkoJatqaGdVhtyKhhnTZVXlUFBWF6R7JF8wZERKR3KQzEkMvIAIXhMcYl6dXUNXU8wNc3DaMwXUt5opZmH9phWVllGY0tJR3LhlRi0chAslkjAyIi0rsUBmLIZWSgoCiEgSGJVTQ0dwwDW5JDKWITFcW1tFjnkYBNWzueKqgYWqmRARER2WkUBuJIdz8yUFQ5EoCxVW+yNdXx0//W1DBKC2qpKq0lVdA5DNQ3hTDwft0uJFMJSspKsIRGBkREZOdQGIih9dJC67r7yobvAsDwio00eccDfrMPpaJwA1Wl9VDUOQw0JEMYWNswkYam8Ohjy4wMKAyIiEgvUxiIIZfTBFWjd2l93ULHA36LDWNM1dthEyWdw0BjejgNTeU0pHahobkq1ItGBlJJnSYQEZHepTAQQy4PKhq+a1sYSCU6HvDTBUOpLA13Jszcfri9ZkZRu3UkW8oOZmXDwWFPicycAY0MiIhI79LtiOPIYWRg2C7DSaYSFCZSeGHHA74Xj2x9XVQ+dNtVmXDcFaxbcw7VHz+itawgUQQpSGtkQEREeplGBmLI5XbEBYkC1jeMDj8Ub3P54K4zWl+XVHUeGZg4Ywr7tQsC0DYykNLIgIiI9DKFgRhyuR0xQG1jOFWw7amAcTNmtb4uG9o5DGRToDkDIiKykygMxJDTHQiB+pYQBorKtwkDe01sfV0xLNcwoJEBERHZORQG4sjlDoRAIyEMlFR2POBbQdt6VSNzDAOFYWQgndLIgIiI9C6FgRja7jOw/TCQTIQwUJrlVMDKDbsDUDW8Kqd9FhSGkYG0RgZERKSXKQzEkNOzCQAvCRMIy4d2vmKg4tNP8vcRD7c+wKg7CY0MiIjITqJLC2PIdc7A8L0O57UlBzBp4m6dlo0aN5pR4+bkvM/WkYGkRgZERKR37dDIgJmtMLOXzewFM3s2KhthZg+a2RvR9+FRuZnZDWa2zMxeMrMD2m1nXlT/DTOb1658drT9ZdG6tr195E2OYWC/jx/B3pc9R1ll2Q7vMlGkkQEREdk5euM0wRx3n+XuH45+/jrwkLvvCTwU/QxwHLBn9HUe8HMIB3bgW8DBwEHAt9od3H8e1c2sN7ebfeRFLvcZ6G2tIwMpjQyIiEjv2hlzBk4CFkSvFwCfald+qwdPAsPMbCxwLPCgu29w943Ag8DcaNkQd3/Cw9H31m22lW0feZHraYLeVBiNDLhGBkREpJftaBhw4M9m9pyZnReVjXH3NQDR98xN+scB77Rbd1VUtr3yVVnKt7ePvMjlqYW9LaGRARER2Ul2dALhYe6+2sx2AR40s9e3Uzfbx2iPUZ6zKKCcBzB69Ghqamq6Xae+vr7berUr32P3Ilj17rs5bbM3bF6zgYnAmlXv5G2fO1Mu/Sw7Rn2cH+rn/FA/91x9fX3OdXcoDLj76uj7WjO7m3DO/z0zG+vua6Kh/rVR9VXAhHarjwdWR+XV25TXROXjs9RnO/vYtn3zgfkAU6dO9erq6mzVOqipqaG7esuefxVeh/HjJ/CRHLbZG9YsfxeehDG7jOKIPO1zZ8qln2XHqI/zQ/2cH+rnnutJeIo9zm1mFWZWlXkNHAMsARYBmSsC5gH3Rq8XAWdFVxUcAmyKhvgfAI4xs+HRxMFjgAeiZXVmdkh0FcFZ22wr2z7yoy/mDBRHcwbSmjMgIiK9a0dGBsYAd0dX+xUCv3X3P5nZM8BdZvZF4G3g1Kj+/cDxwDJgC/AFAHffYGZXA89E9a5y9w3R6wuAXwNlwB+jL4Bru9hHXuR6B8LeVBjNGSCtOQMiItK7YocBd18O7JelfD3wsSzlDlzYxbZuAW7JUv4sMCNLedZ95EufXE1QkrmaQGFARER6l25HHEeOtyPuTYVFUW5znSYQEZHepTAQQ1+cJiiK5gzoNIGIiPQ2hYE4+uA0QaIwEV5oAqGIiPQyhYEY+uJ2xFZgtCQLwTUyICIivUthIIa+mEAIkEwXamRARER6ncJAHH0UBlpSRZhGBkREpJcpDMTQFxMIAVLpQl1NICIivU5hII4+eFARQDKtkQEREel9CgMxpNPp8KIP5gwYGhkQEZHepTAQRx/NGUhpZEBERHYChYEY+uLSQghzBjQyICIivU1hII6+urTQiyhAIwMiItK7FAZi6KurCdIaGRARkZ1AYSAOjQyIiMgAojAQg9NHIwOukQEREel9CgNx9MEjjAFSXkTCNDIgIiK9S2Eghj6bM+CFFJCk5uc/pOb/XZnXfYuIyMBV2NcN6Jf6aM5AmiIKbSvVQ78CwNInP8XUQ2Zlretpxwry2z4REemfNDIQQ589m8BLGFX2duvPw144jprr/jfLX3i9Q72an1xD3a+GUvPjb3TaRu3ajTx993/z1wXzqX3z6Zz33dAAP/sZrF8fv/0iIvLBpDAQRx+NDDSUHcpuw1YBULPhalbUHcyhI3/Krn8/gKd+fy8AT/7uD1SPuIIhZXVMLrirw/qrXl9B6p49OWjrJzms6HwW/ngRW7eGZfX10Nwcvi9cCLW1bevV1cHHPgYXXghHHQUbNmRvX4umM4iI9EsKAzH01cjA+I98pvX1AWdcwsFfuYdN1StZtWkKu6z+Cp52xr73FV57b39qaq9l4sg3WbP83dZ1NvzP5ygsSPL8sAe511Zx8S/+nR/+MBz4d9sNSkpgyBA49VQ48khYty7knvPPh2eegf/7f+G11+CssyCdDstuuAGmTYMLLoBhw+DPf+7c7kcega9+FX73u7Yc9Ze/7ML06bBp087uNRER6Y7mDMSw/9yjSKWS7JvIb5baY9beLH98KgC7jxwCwC4Td+X1qn/hiLILeOqe/+bgEct5ZMtPGLPPobDi66z4/aXwmetJtSTZd+zfqNn8Q6qPP5oDgENvhNtug5kzw6f/o4+GQw8NweDii+E734HPfx5uvx2uvBK+9S0YMwYuuggWLAj1/vVfQ4D4xS+gqAg+97kQGEaNCm3+r/8K4aGgIASIX/wCjjsOfvObiaxcCd/7Hlx7bV67UUREtqGRgRiswEgUJfI+Qc8KjC37LaB++s0dyqcd/SnSaWPie18GYNwBc9jrwP1YXz+SQ8ctpHbRJ1n+xINh2YePbV3v9NNh6VL40Y+grAzuuw+uugq+/GX47GfhxhvhN78JdS+4IHz/l3+BAw8M4eDee6G0FF5/HebPh8ceC6MJv/pVqJtMhnqzZ4cRgMMOC9veay9Yt64EgOuvhxdf7PxeX38dnnyy6754+21YubLHXSgiIlkoDPQzM448mH0/dliHsl0m7sqza05g16FrgDCCkChKsOGAGmo2/4i9x/ydI0rO4/260Uw5YHrreiefHA7mjz8eDvAlJW3b/OpXYetW+PGP4YADYJddQrkZfPe74WD8y1/C4YfD2LFw7rlw8MHh51/+MowC3HMPLF8OV1wBlZXhNMH3vgdNTdDQUMi118KIEfC//lcYTYAwb+HKK2HffWHOHLj11hBKMpYvh5//PIxmfPSj0Ni4M3pZRGRwURgYIKac+Wve2TCJR1ef3zpiseeHZ3DkeZfx6JowYrBi84c7jGaMHBkO0BCG99ubPj18ineHY4/tuOzoo8NEwnQ6TCxs78IL4c03Q5hYtCjs48QTw7KxY+HrX2/b3qc/DXfeGa5QOPRQWL0avvIV+Pa34YQTQmiYNy+0Y9myEC5mzgyjE1VV8M47HYMCtLsflIiI5M7dB8XXXnvt5blYvHhxTvU+iFqaWjydSncqT6fS/tfb7/S3X12edb0tW9zTnVfzDRvczzjD/R//6Lzs2WfdP/Qh99df32ZfafcLL3QH9+Ji989+tvO6f/+7+2c/u6J1n//4h3tJiftJJ7kPGeL+uc+F8nnz3MeNC9v5whfcd9vNfdYs9yVL3Jub3aur3ceMcW9ocL/5Zvfx492HDnUfNizUu+++sJ3Fi92PO8592jT3iRPDdn7+86xdMaD059/l/kT9nB/q555bvHixA896DsdITSAcQAqLs/9zWoHxkdP/V5frlZVlLx8+HH772+zLZs/Ofs7eDK67Dh54IHyanzu3c51Zs+Dcc9/CbCIAe+4ZTg1cfnlYfu654fvNN4fTBl/9KvzkJ6Hsl78MoxYAV18dThV84xthYuJ++4XTHek0LF4cror43e/glFPChMZDDoHy8jAf4ZJL4CMfgXHjwgTIoqIuu0dEZMBTGJBeV1wcLjm89FI4/vjc1vna18L5/xdfhCOOCGWJRAgqP/gBPPUUbNkSrkTIOPxwOOmkMK+hoCAElz32CMveey/MdfjEJ8KB/rHHYNKksGzduhAoTjkF3n03XBJ51FEhFHz2s2GiY3vusHZtmDeR56tJRUTyQmFAdorjjut44O6OWRgdyKasDP72txAWEomOy377WzjvPJg4sS0IQLgE8rHHwsF97ty2IABhlODGG0OQmDQpTFZ85BHYuDFMTrz22jA6cdFFMHlyuDpi9eowsjB/fpi3cP/9ob3V1W0h5fjjw/tYsQL+53/Cfp55JizLzK1obAwBZNKkcIOnoUPb2pVMwubNIZw0N4fJnRn19WE/o0eHkY9t+6Er7gowIpKDXM4lfFC/gLnAUmAZ8PXt1R0Mcwb6kw9CP999t/uKFW0/19W5n3ZamO+w667hO7jPnu1+1VWhrKzM/dOfDuVjxrTNjQD3o492/+Y3w/yHzLpm4fuXvuR+yy1hDgSEuRFm7sce675wofujj7rPmBG2tfvu7kVFYb7FsmXuf/5zWK+sLMx5GD7c/dvfDnMlnn7a/Ygj3A8/3P3KK90XLHBvagrv55ZbnvapU90/+tGwrQsucH/55bDsjTfczznH/YorwhyPH/zA/f3325Z97nPuDz3kXl/feT7Jpk2h7J13ss81Wb/e/aabwroZGze6L1rk3tLSsdzdfevWsM9ksvMy9+z7cA/vv7a2y3/eLnW1vbg+CL/Lg4H6ued6Mmegzw/ocb+ABPAmsDtQDLwI7NNVfYWBD5YPaj8nk+7f/3446P7qV+4vvhgmK7q7//Of7qeeGg7iX/5yOIht3hyW//SnYeIiuH/yk+4vvOD+l7+E5V/7WlsoOPBA92uucT/rrFA+YUJbcJgwIYSRQw8N2y8vb1s2bVoIIYcfHrYP7pWVYbu77homT2bqVlS4f+IT7qWlSd9119CuESPC9hKJEEBKSkK4gLbwMmSI+9lnt+23qChsf//93W+7LUz0PPPMsGzs2Lb3c8cdYULp97/v/tWvtrVlyhT3H/0ohIA99mjbR0FBCBt/+pP7U0+FEAQh8BQWhpDy6qth4ud++7lXVbnvs0/4N7n2WveVK91XrQp9MmSI+9y57ief7P6734VA97e/hQA3c2b4PmdOaOOWLe5//GPYzkc+4n788e5f/GIIVO7uL70U3t93vxvey333hfDSnQ/q7/JAo37uuZ6EAXPvn9dimdmhwJXufmz08+UA7v69bPWnTp3qS5cu7Xa7NTU1VFdX92JLJZv+3M/19eG+CdvauhXeeCOcRth2aH75cnj11XDKoP0QfyoVLsFcuRK+9KWO23333XCnR4DLLus40fOvfw03hBo5MkywrKgIz4aoqYH//m/4wx9gzJha7r9/GKNHh5hQXw/XXBOWH3gg/Md/hP0PHx5ObXz72+FGUh/7WLgfxPe+FyZY/vGPYdIlhPkgZ58Nb70V5mTceWdYNyORCKdT5s0Lkz2fey6UT5gQLjt97rnQ5ttuC3e9hHDq41OfChNOp0wJ95ZoagrLPvShcP+KtWvDz4880raf0tIwb2TVqvC8jDVr2toxdiyMHx/mkqxdG9qbuQvmlCnhNExxcZhbUlcXTjOtXBn6OPO8jsx29t033Adjy5a28oKC8J4mToQ336ylqWkYlZVtt+keNSrMQVm1KtQtKgr7Ky4Ol8V+6EPh1NM774SHgA0dGv4dMnfu/Mc/wimlxsbQF8XFsPvuYVurVmViX6hbURHeq3u4tbh7WzsgbHflynDjr5Ejwza2bAl3EJ04MfyeNTRAYWH4KiqCXXcNy5YvD8syv89moe/Hjm37nWpoCH02YkRYb8iQ8DvR3BzakUqFfY4bF977iy+GeTuJRHhf5eWhLwsLw/+fRCK0oagoLNt117CvJ598hwkTJrT+G5SXh37cvDm0M5Vq+xo+vO29vf9+W9vNwmm43XYL//a1taEs829UWhp+P9au7dwnY8aE971yZei/zL+BWSjfbbfQx+vWhbLMepntbtgQ9ldSEtpWUhL26x5+B8vKwr1VCnrxgv+amhrmzJnznLt/uLu6/TkMnALMdfcvRT9/HjjY3S/KVl9h4INF/bzzxenjVKrzfITM1RkvvBDmWUyZ0rH+3/4W/vgffXT4g9n+j9myZfDyyyEEtZ8D0dgIDz4Y/rB+/vMd506sWQN33x22/aUvdQxBb74ZrhCpqwvrTZvW1o7Fi8NE09Gj4bTT2raZTsNDD4WgNHlyuKdGZpt1dXDTTeE9ZO5h8c9/hoPJ00+HW3G/8QZMnRoOpBnJZHjPb78NRUW1TJ06jIaG8N7NwgGotjYcrCAcGDNfGzaEEDBuXDgIVlWFg8jGjWG95uYwwbWiIvRZaWk4+Lz5Zgh8mVCQObht3twWEEaN6rgMwjZHjw6BYf36UK+0NPT96tXhYDt8eHhPyWTY/7vvhgN9VVU4eELbwS+ZDAdSs9DGiopwYNuwIawD4SBfVhbaUlAQ1sk8h2TkyHDwTKXC+6mrC9uD0CfuobylJRyQMw9AKylJUVjY9su5dWv4t4XQ/sLC8LubSIQDclNTOBBnbpiWaf/GjeH3r6govLdMeUtL2GZmf4WFod35tP/+IZC3yzw7ZLCEgVOBY7cJAwe5+8Xt6pwHnAcwevTo2XfddVfWbbVXX19PZbaPfdKr1M87n/o4P+L0c+YT5QeVO2zeXERlZUvWyarJpJFIeKf3sHVrAfX1hYwc2dzpE+6WLQkaGgoZNaqp03rNzUZzc4LKyo5H3/CpuZB02igs3Nihn5NJY926EhKJNKNHN3dYL5WC+voiyspSFBens26ztDRFcXHH4186DatXlzFsWEtrW1IpSCYLWL++mHXrSthll0YqK1NAeP/ptLFuXTHr15dQWZlk2LAWwEmlCkilLHpvBVRVJamqStLUVMDatSXR8vB7UFaW4u23y3n44V347neXkEj0znG5vr6eE088Macw0J+vJlgFtM9P44HV7Su4+3xgPoSRgVw+JekTa36on3c+9XF+qJ/zY/D085G9tqWampqc6/bn2xE/A+xpZpPNrBg4HVjUx20SERHpd/rtyIC7J83sIuABwpUFt7j7K33cLBERkX6n34YBAHe/H7i/r9shIiLSn/Xn0wQiIiLSCxQGREREBjmFARERkUFOYUBERGSQUxgQEREZ5BQGREREBjmFARERkUGu3z6boKfMrA7o/klF8CHg7Z3cnGyGApsG0X77qp8hv++5r/oX+qaP+/L9Drbf5cHW14Plb0Zv7nMUUOHuo7urOJjCwLM5PbnJ7P1cOq63mdl8dz9vEO23T/o52nfe3nNf9W+077z3cR+/30H1uzzY+nqw/M3ozX3metwDnSbIpraP9vvfg2y/fdXPkN/33Ff9C33Tx335fgfb7/Jg6+vB8jejT/apkYGY9WTHqJ93PvVxfqif80P93HMaGchufi/Xkx2jft751Mf5oX7OD/Vzz+XcZ4NmZEBERESyG0wjAyIiIpKFwoCIiMggNyjDgJmNN7N7zewNM3vTzH5sZsXbqX+pmZXns40DhZnV93UbBjIz+7SZuZlN6+u2DAbd/T6bWY2ZaZJbTPrb3HcGXRgwMwP+ANzj7nsCewGVwDXbWe1SQL9w8kF0BvA4cHpPVjKzxM5pjkg8+tvctwZdGACOAhrd/VcA7p4CLgPOMbMKM/uhmb1sZi+Z2cVmdgmwG7DYzBb3Ybv7LTOrNLOHzOz5qG9PisonmdlrZnajmb1iZn82s7K+bm9/YWaVwGHAF4nCgJlVm9mjZna3mb1qZr8ws4JoWb2ZXWVmTwGH9l3L+7eoj+9r9/NPzOzsPmzSQKG/zX2osK8b0AemA8+1L3D3zWb2NvAlYDKwv7snzWyEu28ws/8NzHH3dX3Q3oGgEfh01M+jgCfNbFG0bE/gDHc/18zuAk4GftNXDe1nPgX8yd3/YWYbzOyAqPwgYB9gJfAn4DPAQqACWOLu3+yT1opsn/4296HBODJgQLbrKQ04AviFuycB3H1DPhs2gBnwXTN7CfgLMA4YEy17y91fiF4/B0zKf/P6rTOAO6LXd0Q/Azzt7sujT1a3A4dH5Sng9/ltokjO9Le5Dw3GkYFXCJ8+W5nZEGACsJzsv4yyYz4HjAZmu3uLma0ASqNlTe3qpQCdJsiBmY0kDKvOMDMHEoTf3fvp/Duc+bkxCgiyY5J0/CBV2lVF6RH9be5Dg3Fk4CGg3MzOgtaJVD8Cfg38GfiymRVGy0ZE69QBVflv6oAxFFgbBYE5wMS+btAAcApwq7tPdPdJ7j4BeIswCnCQmU2O5gqcRphgKL1nJbCPmZWY2VDgY33doAFCf5v70KALAx5uufhp4FQzewP4B+Gc9jeAmwiPyHzJzF4EPhutNh/4oyap9Ez0H7cJuA34sJk9SxgleL1PGzYwnAHcvU3Z7wm/s08A1wJLCAFh23oSQ+b32d3fAe4CXiL8bv+9Txs2QOhvc9/S7YhlpzGz/YAb3f2gvm7LYGFm1cC/ufsn+rotA41+n2UgG3QjA5IfZvZlwuS1K/q6LSI7Sr/PMtBpZEBERGSQ08iA9Aozm2Bmi6ObCL1iZv8alY8wswej24s+aGbDo/JpZvaEmTWZ2b9ts63Lom0sMbPbzUyztUVEdiKFAektSeD/uPvewCHAhWa2D/B14KHo9qIPRT8DbAAuAX7YfiNmNi4q/7C7zyBcMtejW+2KiEjPKAxIr3D3Ne7+fPS6DniNcHOhk4AFUbUFhLvm4e5r3f0ZoCXL5gqBsmj2djmweic3X0RkUFMYkF5nZpOA/YGngDHuvgZCYAB22d667v4uYbTgbWANsMnd/7wz2ysiMtgpDEivih6e83vgUnffHGP94YTRhMmEh5BUmNmZvdtKERFpT2FAeo2ZFRGCwG3u/oeo+D0zGxstHwus7WYzRxOeV/C+u7cQHmn6kZ3VZhERURiQXhI9i/xm4DV3v67dokXAvOj1PODebjb1NnCImZVH2/wYYf6BiIjsJLrPgPQKMzsceAx4GUhHxd8gzBu4C/gQ4UB/avTo0V2BZ4EhUf16YJ/okaXfJtxTP0m41euX3L39A41ERKQXKQyIiIgMcjpNICIiMsgpDIiIiAxyCgMiIiKDnMKAiIjIIKcwICIiMsgpDIiIiAxyCgMiHxBmduW2j3Pupe1OMrMlvbStX5vZKb20rUlm9tl2P3/YzG7oZp0vm9lZ0euzzWy3XmjH2Wb2k27qVJuZ7oQpA1ZhXzdARAatScBngd8CuPuzhBtRdcndf9Hux7OBJeTnqZbVhBtj/S0P+xLJO40MiPQhM/t3M1tqZn8BpkZls8zsSTN7yczuNrPhZraLmaoEGkQAAATESURBVD0XLd/PzNzMPhT9/GZ0++Zfm9kNZvY3M1ue7RO8mZWa2a/M7GUz+7uZzYnKJ5nZY2b2fPT1kajczOwnZvaqmf0P3Tx10sy+aWbPmNkSM5sf3VIaM5tiZn8xsxej7e8BXAt81MxeMLPLok/f95lZgZmtMLNh7ba7zMzGZEZPovf2YeC2aP0TzOzudvU/bmZ/2LZ97ZZ/wcz+YWaPAIe1Kz/RzJ6K+uYv0T4nAV8GLov29VEzG21mv4/e6zNmdlgXuxLpFxQGRPqImc0GTic87vkzwIHRoluBr7n7voTbO3/L3dcCpWY2BPgo4RP0R81sIrDW3bdE644FDgc+QTjYbutCAHefCZwBLDCzUsIDpD7u7gcQbgWdGa7/NCGkzATOpfuHRv3E3Q909xlAWdQOgNuAn7r7ftE21gBfBx5z91nufn1mA+6eJjzD4tNRPx0MrHD399rVWRj1wefcfRZwP7C3mY2OqnwB+FW2BkYPzPo2IQR8HNin3eLHgUPcfX/gDuCr7r4C+AVwfdTWx4AfRz8fCJwM3NRNv4h8oOk0gUjf+Shwd+ZAbmaLgApgmLs/EtVZAPwuev03wgHsCOC7wFzACM+EyLgnOpi+amZjsuzzcOD/Abj762a2EtgLWAn8xMxmAamojGhft7t7ClhtZg93857mmNlXgXJgBPCKmdUA49z97v/f3h28RBVFcRz/nqTUyFy0aRFEEC3a1EIIF4FBqyAwKBBysj8gBFduIiTaBW4CCyIUooVIGNmmaFFamQQmCkK4KLCSyFISyUA4Le4JXzIzOavR5vfZjPPeefeeu3rn3bnPG/2uxHiLtdMPXCHd0Fvie0Hu7mZ2F2g1s16gEbhQIPwY8Mzdv0Ye/ayNdx/QHwXDDuB9gTZOAoczY9htZnXuvlQsT5HNSsWASHmVsjnICKmA2E96cu6M6x9lYrIbOuW72xa6A3cAX4AjpBnDlVJzjBmGHqDB3WfNrAuoKdJnMaPAwXjSbwaubeCaXmCIlPuAu68WiS00phtAt7s/NLMmoKtA3Dag0d1/biAvkU1PPxOIlM8wcMbMas2sDjgNLAMLZnY8YnLA80x8KzATT//fgVPAyxL7PA9gZodIu0m+A+qBuWg3B1Rl4lvMrCqelk8UabsmPufNbBdwFsDdfwAfzaw5+q02s53AElCXryFPO6gNAt2kbbG/5Qn763p3/0xaTHgZ6CuS5xjQZGZ7zGw7cC5zrh74FH+3ZY6vz/UJcOnPl5hREdmyVAyIlIm7j5OmvyeA+6xN97cB181sEjgKXI34D3F+OD5fAIvuvlBCtz1AlZlNRd8XY3voHqDNzF6TpsyXI34QmCGtXbjJWmGSbzyLwO2IfQC8yZzOAe0xplfAXmASWI1FhR15muwnFT+FfiLoA27For7aOHYPmHX36SJ5zpGe+EeBp8B45nQXMGBmI8B85vgQqXCbiEKtHWiIRZ7TpAWGIluWtjAWkf+Gpf8X8Nbd75Q7F5GtRMWAiPwX4tXLZdJbEb/+FS8ia1QMiEjJ4p3+A+sOd7r743LkU4iZjQHV6w7n3H2qHPmIbFYqBkRERCqcFhCKiIhUOBUDIiIiFU7FgIiISIVTMSAiIlLhVAyIiIhUuN+oAZUTP34yywAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11aab22b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1250fae80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116ae5160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12535cda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11617ff60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1180b9ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11619e6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAE6CAYAAACLRlGvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzt3XmcFOW1//HPmYVNVkERQVkElVUUcFeGqIga437V5CouiYa4JF7NT02MGqNmd0tCvBqM6FXRoEZiSIwLIy6oLKKCSERFZYkioMwoA7Oc3x9P9UwDs9QMM73N9/169au7n3qq6nRTTJ0+9VSVuTsiIiLSeuWlOwARERFJLyUDIiIirZySARERkVZOyYCIiEgrp2RARESklVMyICIi0sopGRAREWnllAyIiIi0ckoGREREWjklAyIiIq1cQboDSJUePXp4v379YvX98ssv2WGHHVo2oBaSrbEr7tRS3KmXrbEr7tRq7rjnz5//mbvv1GBHd28Vj1GjRnlcs2bNit0302Rr7Io7tRR36mVr7Io7tZo7bmCex9hH6jCBiIhIK6dkQEREpJVTMiAiItLKtZoBhLUpLy9nxYoVlJWVbdHepUsXlixZkqaotk+2xp4cd7t27ejTpw+FhYVpjkpEpHVo1cnAihUr6NSpE/369cPMqttLSkro1KlTGiNrumyNPRG3u7N27VpWrFhB//790x2WiEir0KoPE5SVldG9e/ctEgFJLzOje/fu21RrRESk5bTqZABQIpCB9G8iIpJarT4ZyAQ33XQTQ4cOZcSIEYwcOZJXX32V2267ja+++irdoUlCZRlsXg/u6Y5ERKTZKRlIszlz5vDkk0+yYMEC3nzzTZ555hl22223epOBysrKFEcpsyb/BqbvSEV5RbpDERFpdkoG0mz16tX06NGDtm3bAtCjRw+mT5/OqlWrGDduHOPGjQOgY8eOXHvttRxwwAHMmTOH+fPnM3bsWEaNGsXRRx/N6tWrAbj33nsZM2YM++yzD6ecckp1QnHOOecwadIkxo0bx4ABA3j++ec577zzGDx4MOeccw4QkoxzzjmHYcOGMXz4cG699dbUfyEZqvj58F9l86aqNEciItL8WvXZBMl+8ANYuDC8rqxsT37+9i9z5Ei47bb6+4wfP54bbriBPffckyOPPJLTTz+dSy+9lFtuuYVZs2bRo0cPIFyvetiwYdxwww2Ul5czduxYnnjiCXbaaScefvhhfvzjH3PPPfdw/PHHc8kllwBwzTXXMGXKlOr369ev57nnnmPGjBkcf/zxvPTSS/zpT39izJgxLFy4kMrKSlauXMmiRYsA+Pzzz7f/S8gR7iEZqKrSYQIRyT1KBtKsY8eOzJ8/nxdeeIFZs2Zx+umn84tf/GKbfvn5+ZxyyikALF26lEWLFnHUUUcB4Rd9r169AFiyZAlnnXUWn3/+OaWlpRx99NHVyzj++OMxM4YPH07Pnj0ZPnw4AEOHDmX58uWMHTuW999/n0suuYTjjjuO8ePHt/THzxqJK3d7lSoDIpJ7lAxEkn/Bl5RsTOm5+vn5+RQVFVFUVMTw4cOZOnXqNn3atWtHflSucHeGDh3KnDlztuk3adIknnjiCfbZZx/uvfdeiouLq6clDkXk5eVVv068r6iooFu3brzxxhs89dRT/OEPf+CRRx7hnnvuaeZPm52qSFQGlAyISO7RmIE0W7p0Ke+++271+4ULF9K3b186depESUlJrfPstdderFmzpjoZKC8vZ/HixUC4eE+vXr0oLy/ngQceaFQsn332GVVVVZxyyin87Gc/Y8GCBU38VDnIVRkQkdylykCalZaWcskll/D5559TUFDAwIEDueuuu3jooYc45phj6NWrF7NmzdpinjZt2jB9+nQuvfRSvvjiCyoqKvjBD37A0KFDueaaazjggAPo27cvw4cPrzOhqM3KlSs599xzq3/9/vznP2/Wz5rNqnSYQERymJKBNBs1ahQvv/zyNu2XXHJJ9cA/CElDspEjRzJ79uxt5vv2t7/NZZddtk37vffeW/26X79+1YMEt56makDtXJUBEclhOkwgEkP1AEJXMiAiuUfJgEgs4RLJGkAoIrlIyYBIDInKALrOgIjkICUDIjG4Ti0UkRymZEAkBiUDIpLLlAyIxKCzCUQklzWYDJjZbmY2y8yWmNliM/t+1H69ma00s4XR49ikea42s2VmttTMjk5qnxC1LTOzq5La+5vZq2b2rpk9bGZtova20ftl0fR+Da0jGz3++OOYGe+8806dfc455xymT59e67Tf/OY37L333gwbNoyDDz6Y++67r6VCrde1117LM888k5Z1tziLKgOVSgZEJPfEqQxUAJe7+2DgQOAiMxsSTbvV3UdGj5kA0bQzgKHABGCymeWbWT7wB+AYYAhwZtJyfhktaxCwHjg/aj8fWO/uA4Fbo351rqPJ30KaPfTQQxx66KFMmzat0fPeeeedPP3007z22mssWrSIf/zjH7inZ5DbDTfcwJFHHpmWdbc0VQZEJJc1mAy4+2p3XxC9LgGWAL3rmeUEYJq7b3L3D4BlwP7RY5m7v+/um4FpwAlmZsDXgMTP3qnAiUnLSlyofzpwRNS/rnVkndLSUl566SWmTJmyRTLg7lx88cUMGTKE4447jk8//bTW+W+++WYmT55M586dAejSpQsTJ04Ews55zJgxDBs2jAsuuKA6SSgqKuKyyy7j8MMPZ/DgwcydO5eTTz6ZQYMGcc011wCwfPly9t57byZOnMiIESM49dRTq2+HXNdyk6sXM2fOZO+99+bQQw/l0ksv5etf/zoA119/Peeddx5FRUUMGDCAO+64o7m/0hZRpesMiEgOa9QVCKMy/b7Aq8AhwMVmdjYwj1A9WE9IFF5Jmm0FNcnDx1u1HwB0Bz5394pa+vdOzOPuFWb2RdS/vnU0zfwfwPpwD+P2lZU0yz2Mu42EUfXfw/ivf/0rEyZMYM8992THHXdkwYIF7Lfffjz++OMsXbqUt956i08++YQhQ4Zw3nnnbTFvSUkJJSUl7LHHHrUu++KLL+baa68F4KyzzuLJJ5/k+OOPB8IljWfPns3tt9/OCSecwPz589lxxx3ZY489qq9guHTpUqZMmcIhhxzCeeedx+TJk7niiivqXS5AWVkZF154IbNnz6Z///6ceeaZW8T1zjvvMGvWLEpKSthrr72YNGlSI77UdAnXGVBlQERyUexkwMw6Ao8CP3D3DWb2R+BngEfPvwXOI/FXc0tO7VUIr6c/9Uyrb57kmC8ALgDo2bPnFnfwg/ArOnHt/rabN5NXWRktyalIvN4OVZs3s6mBewPcf//9fO9736OkpIQTTzyRqVOnMmjQIJ555hlOOukkvvrqKzp16sThhx/Oxo0bt7jXwIYNGwC2aKusrKx+P3PmTG677TY2btzI+vXrGThwIEVFRVRWVnLkkUdWJxJ77703HTt2ZPPmzfTt25d33nmHLl260KdPH0aMGEFJSQknn3wyd955JxdeeGGdyy0vL2fjxo3Mnz+fvn370qNHj+rP9ec//5mSkhI2bdrEkUceyebNm2nbti09evTgvffeY5dddtnic5SVlW3z75VO5eUhV3399YV88NnK6vbS0tKMijMuxZ162Rq74k6tdMUdKxkws0JCIvCAuz8G4O6fJE2/G3gyersC2C1p9j7Aquh1be2fAV3NrCCqDiT3TyxrhZkVAF2AdQ2so5q73wXcBTB69GgvKiraYvqSJUtqblV80OTq9pKSkma7hXGbeqatXbuW2bNn884772BmVFZWYmbcdttttGnThvbt21fHUVBQsMV7gE6dOtGxY0fWrFnDgAEDtoi9rKyMyy+/nHnz5rHbbrtx/fXX4+506tSJ/Px8unXrVj1/hw4dqpdbWFhI27Zt6dixI3l5edXtHTp0oLCwkMLCwjqXW1hYSPv27enQoQP5+fnV87Zv356CggI6depUvezk9SVuz5z82dq1a8e+++7bLP8GzeHx28IhnBHDhzNg5N7V7cXFxWy9XWUDxZ162Rq74k6tdMUd52wCA6YAS9z9lqT2XkndTgISd76ZAZwRnQnQHxgEvAbMBQZFZw60IQwAnOHhgPMs4NRo/onAE0nLmhi9PhV4Lupf1zqyyvTp0zn77LP58MMPWb58OR9//DH9+/fnxRdf5PDDD2fatGlUVlayevXqbe5cmHD11Vdz0UUXVVcJNmzYwF133UVZWRkAPXr0oLS0tM4zEerz0UcfVd8mOTHIMc5y9957b95//32WL18OwMMPP9zodWcaXWdARHJZnMrAIcBZwFtmtjBq+xHhbICRhPL8cuBCAHdfbGaPAG8TzkS4yN0rAczsYuApIB+4x90XR8u7EphmZjcCrxOSD6Ln+81sGaEicEZD68gmDz30EFddddUWbaeccgoPPvggkydP5rnnnmP48OHsueeejB07ttZlTJo0idLSUsaMGUNhYSH5+fn88Ic/pGvXrnznO99h+PDh9OvXjzFjxjQ6vsGDBzN16lQuvPBCBg0axKRJk+jQoUODy23fvj2TJ09mwoQJ9OjRg/33z8qxnVtw3cJYRHKZu7eKx6hRo3xrb7/99jZt7u4bNmyotT0bNFfsH3zwgQ8dOrTJ85eUlLi7e1VVlU+aNMlvueWWevtvHXdd/zbpcvEJj7o/gC999Y0t2mfNmpWegLaT4k69bI1dcadWc8cNzPMY+0hdgVBaxN13383IkSMZOnQoX3zxBRdeeGG6Q9ouqgyISC5r1KmF0nr069ePRYsWNdyxDpdddln1KYq5IHHRIY0ZEJFcpMqASAzVRTRddEhEclCrTwY8TZfulbpl5L+J6aJDIpK7WnUy0K5dO9auXZuZO59Wyt1Zu3Yt7dq1S3coW0rcqKhK24qI5J5WPWagT58+rFixgjVr1mzRXlZWlnk7o5iyNfbkuNu1a0efPn3SHNGWdKMiEcllrToZKCwspH///tu0FxcXZ9TV7xojW2PP+LhNyYCI5K5WfZhAJC7XXQtFJIcpGRCJRZUBEcldSgZEYtBFh0QklykZEIlFyYCI5C4lAyKxWPSsZEBEco+SAZEYvPpsAl1nQERyj5IBkVh0mEBEcpeSAZE4TKcWikjuUjIgEoPOJhCRXKZkQCQWVQZEJHcpGRCJofoWxqoMiEgOUjIgEoNpzICI5DAlAyJxWLjOgJIBEclFSgZEYqg+TKBkQERykJIBkRhqzibQRYdEJPcoGRCJITFmQJUBEclFSgZE4tAAQhHJYUoGRGJwXWdARHKYkgGRGKoPE+g6AyKSg5QMiMSgyoCI5DIlAyIxaAChiOQyJQMiceiiQyKSw5QMiMRQc2+CyvQGIiLSApQMiMRhBQC4KxkQkdyjZEAkBsvLDy9UGRCRHNRgMmBmu5nZLDNbYmaLzez7UfuOZva0mb0bPXeL2s3M7jCzZWb2ppntl7SsiVH/d81sYlL7KDN7K5rnDrNwgLYp6xBpCYlkQJUBEclFcSoDFcDl7j4YOBC4yMyGAFcBz7r7IODZ6D3AMcCg6HEB8EcIO3bgOuAAYH/gusTOPepzQdJ8E6L2Rq1DpMWYKgMikrsaTAbcfbW7L4helwBLgN7ACcDUqNtU4MTo9QnAfR68AnQ1s17A0cDT7r7O3dcDTwMTommd3X2Ouztw31bLasw6RFpE9WECVQZEJAc1asyAmfUD9gVeBXq6+2oICQOwc9StN/Bx0mwrorb62lfU0k4T1iHSMkzJgIjkroK4Hc2sI/Ao8AN33xAd1q+1ay1t3oT2esOJM4+ZXUA4jEDPnj0pLi5uYLFBaWlp7L6ZJltjz/S4//PpAADWr/tsizgzPe66KO7Uy9bYFXdqpSvuWMmAmRUSEoEH3P2xqPkTM+vl7qujEv2nUfsKYLek2fsAq6L2oq3ai6P2PrX0b8o6tuDudwF3AYwePdqLioq27lKr4uJi4vbNNNkae6bH/dBDIdfs1rXzFnFmetx1Udypl62xK+7USlfccc4mMGAKsMTdb0maNANInBEwEXgiqf3saMT/gcAXUYn/KWC8mXWLBg6OB56KppWY2YHRus7ealmNWYdICzGqqkyHCUQkJ8WpDBwCnAW8ZWYLo7YfAb8AHjGz84GPgNOiaTOBY4FlwFfAuQDuvs7MfgbMjfrd4O7roteTgHuB9sA/ogeNXYdIS6qsylcyICI5qcFkwN1fpPZj9ABH1NLfgYvqWNY9wD21tM8DhtXSvrax6xBpCe5QUVUAVRXpDkVEpNnpCoQiMVVW5QOqDIhI7lEyIBJTZVU+psMEIpKDlAyIxOCuMQMikruUDIjEVFmVj+kwgYjkICUDIjGoMiAiuUzJgEhMqgyISK5SMiASgyoDIpLLlAyIxKTKgIjkKiUDIjEkLjqkZEBEcpGSAZGYQmVAVyAUkdyjZEAkhsSYAVUGRCQXKRkQiUnJgIjkKiUDIjGoMiAiuUzJgEhMlVX55CkZEJEcpGRAJAZVBkQklykZEIlJyYCI5ColAyIxJCoDeaZkQERyj5IBkZhUGRCRXKVkQCSGxBUI80wXHRKR3KNkQCSmikolAyKSm5QMiMTgDpsr2pBv5ekORUSk2SkZEIlpc2UbCvI2pzsMEZFmp2RAJKbyikIlAyKSk5QMiMSQOExQoMMEIpKDlAyIxLS5sg0F+aoMiEjuUTIgEkOiMlCoZEBEcpCSAZGYlAyISK5SMiASQ6Iy0EbJgIjkICUDIjFtrmhDmwIlAyKSe5QMiMRQfdGhvCoqy3V/AhHJLUoGRGLaXNEmPG9SdUBEcouSAZEYEpUBgM1lSgZEJLc0mAyY2T1m9qmZLUpqu97MVprZwuhxbNK0q81smZktNbOjk9onRG3LzOyqpPb+Zvaqmb1rZg+bWZuovW30flk0vV9D6xBpSZsrQzJQrsqAiOSYOJWBe4EJtbTf6u4jo8dMADMbApwBDI3mmWxm+WaWD/wBOAYYApwZ9QX4ZbSsQcB64Pyo/XxgvbsPBG6N+tW5jsZ9bJHGSa4MVGzWVQhFJLc0mAy4+2xgXczlnQBMc/dN7v4BsAzYP3osc/f33X0zMA04wcwM+BowPZp/KnBi0rKmRq+nA0dE/etah0iLqk4GVBkQkRyzPWMGLjazN6PDCN2itt7Ax0l9VkRtdbV3Bz5394qt2rdYVjT9i6h/XcsSaTFbjBnYtCnN0YiINK+CJs73R+BngEfPvwXOA6yWvk7tSYfX0596ptU3zxbM7ALgAoCePXtSXFxcW7dtlJaWxu6babI19kyPe82aIXQrbwfAwnnz+Gj9aiDz466L4k69bI1dcadWuuJuUjLg7p8kXpvZ3cCT0dsVwG5JXfsAq6LXtbV/BnQ1s4Lo139y/8SyVphZAdCFcLiivnVsHeddwF0Ao0eP9qKiolifr7i4mLh9M022xp7pcffoASXrOgAwaMAAhhcdBGR+3HVR3KmXrbEr7tRKV9xNOkxgZr2S3p4EJM40mAGcEZ0J0B8YBLwGzAUGRWcOtCEMAJzh7g7MAk6N5p8IPJG0rInR61OB56L+da1DpEVtLG8PQEXZxjRHIiLSvBqsDJjZQ0AR0MPMVgDXAUVmNpJQnl8OXAjg7ovN7BHgbaACuMjdK6PlXAw8BeQD97j74mgVVwLTzOxG4HVgStQ+BbjfzJYRKgJnNLQOkZbiDl9tCpWB8rKv0hyNiEjzajAZcPcza2meUktbov9NwE21tM8EZtbS/j61nA3g7mXAaY1Zh0hLKosqA5WbVRkQkdyiKxCKxOR5UTKwSZUBEcktSgZEYnAH8sNhgqpyVQZEJLcoGRCJyQpCZaCqXJUBEcktSgZEYnAHKwyVASqUDIhIblEyIBJTXkEhFZX5UKlkQERyi5IBkRg8usbl5oo2UKUbFYlIblEyIBKTGVR6PlCV7lBERJqVkgGRGBKVgSrPw3SNKxHJMUoGRGIyg6qqfHBVBkQktygZEIkhuTKgwwQikmuUDIjEZBYdJkCHCUQktygZEImhpjKgwwQiknuUDIjElKgM6DCBiOQaJQMiMSQqA67DBCKSg5QMiMQUKgP5mA4TiEiOUTIgEsOWZxOoMiAiuUXJgEhM1ZUBjRkQkRyjZEAkhi3HDCgZEJHcomRAJCYzqEIDCEUk9ygZEGmEKt2oSERykJIBkRh0mEBEcpmSAZGYzHSdARHJTUoGRGKoPrUQnU0gIrlHyYBITKoMiEiuUjIgEkNNZUBjBkQk9ygZEIkpVAZ0mEBEco+SAZEYqs8mIA8zHSYQkdyiZEAkJl2OWERylZIBkRi2qAwoGRCRHKNkQCQms5AM5OkwgYjkGCUDIjHUXIFQhwlEJPcoGRCJKVEZ0ABCEck1DSYDZnaPmX1qZouS2nY0s6fN7N3ouVvUbmZ2h5ktM7M3zWy/pHkmRv3fNbOJSe2jzOytaJ47zMyaug6RlpI8ZiBPlQERyTFxKgP3AhO2arsKeNbdBwHPRu8BjgEGRY8LgD9C2LED1wEHAPsD1yV27lGfC5Lmm9CUdYi0tFAZyMdMyYCI5JYGkwF3nw2s26r5BGBq9HoqcGJS+30evAJ0NbNewNHA0+6+zt3XA08DE6Jpnd19jrs7cN9Wy2rMOkRazJaVAR0mEJHc0tQxAz3dfTVA9Lxz1N4b+Dip34qorb72FbW0N2UdIi1KlQERyVUFzbw8q6XNm9DelHVs29HsAsKhBHr27ElxcXEDiw5KS0tj98002Rp7pse9fv0+VFUZZZvK8YKK6lgzPe66KO7Uy9bYFXdqpSvupiYDn5hZL3dfHZXoP43aVwC7JfXrA6yK2ou2ai+O2vvU0r8p69iGu98F3AUwevRoLyoqqq3bNoqLi4nbN9Nka+yZHnfXrlBVBW3btqcg36tjzfS466K4Uy9bY1fcqZWuuJt6mGAGkDgjYCLwRFL72dGI/wOBL6IS/1PAeDPrFg0cHA88FU0rMbMDo7MIzt5qWY1Zh0iLqRkzkK+zCUQk5zRYGTCzhwi/6nuY2QrCWQG/AB4xs/OBj4DTou4zgWOBZcBXwLkA7r7OzH4GzI363eDuiUGJkwhnLLQH/hE9aOw6RFJBVyAUkVzUYDLg7mfWMemIWvo6cFEdy7kHuKeW9nnAsFra1zZ2HSItqeaiQ6oMiEhu0RUIRWLw6iGq+eQpGRCRHKNkQCQmM3DTYQIRyT1KBkRiqKkM6DCBiOQeJQMiMSUuOqTDBCKSa5QMiMRQXRnQYQIRyUFKBkRiMoOqvI50bFuS7lBERJqVkgGRGKorA227075NGV9t+Cqt8YiINCclAyIxmUFe++4AfP7p2jRHIyLSfJQMiMSQqAy06RiSgZLPlAyISO5QMiASkxm06xKSgS/XKRkQkdyhZEAkhkRloKBTb4rfHstXm9qlNyARkWakZEAkJjOoaD+QcTcVs4ZD0h2OiEizUTIgEkOiMpCfH54rdakBEckhSgZEYjJTMiAiuUnJgEgMqgyISC5TMiASkyoDIpKrlAyIxKDKgIjkMiUDIjGpMiAiuUrJgEgjFBSE54qK9MYhItKclAyIxKDDBCKSy5QMiMSkwwQikquUDIjEoMqAiOQyJQMiMakyICK5SsmASAyqDIhILlMyIBKTKgMikquUDIjEoMqAiOQyJQMiMSVXBnSdARHJJUoGRGJIVAby8kJSoMqAiOQSJQMiMZmF5/x8JQMikluUDIjEkKgMgJIBEck9SgZEYlJlQERylZIBkRhUGRCRXLZdyYCZLTezt8xsoZnNi9p2NLOnzezd6Llb1G5mdoeZLTOzN81sv6TlTIz6v2tmE5PaR0XLXxbNa/WtQ6QlqTIgIrmqOSoD49x9pLuPjt5fBTzr7oOAZ6P3AMcAg6LHBcAfIezYgeuAA4D9geuSdu5/jPom5pvQwDpEWoQqAyKSy1riMMEJwNTo9VTgxKT2+zx4BehqZr2Ao4Gn3X2du68HngYmRNM6u/scd3fgvq2WVds6RFpMojJQUKDrDIhIbtneZMCBf5nZfDO7IGrr6e6rAaLnnaP23sDHSfOuiNrqa19RS3t96xBpEaoMiEguK9jO+Q9x91VmtjPwtJm9U09fq6XNm9AeW5SgXADQs2dPiouLY81XWloau2+mydbYMz3uL78czdq1GykuXkxFxYGsXLme4uKlGR93XRR36mVr7Io7tdIV93YlA+6+Knr+1MweJxzz/8TMern76qjU/2nUfQWwW9LsfYBVUXvRVu3FUXufWvpTzzq2ju8u4C6A0aNHe1FRUW3dtlFcXEzcvpkmW2PP9Lh32AF69OhIUVERHTrATjv1oqioV8bHXRfFnXrZGrviTq10xd3kwwRmtoOZdUq8BsYDi4AZQOKMgInAE9HrGcDZ0VkFBwJfRCX+p4DxZtYtGjg4HngqmlZiZgdGZxGcvdWyaluHSIvQYQIRyWXbUxnoCTwene1XADzo7v80s7nAI2Z2PvARcFrUfyZwLLAM+Ao4F8Dd15nZz4C5Ub8b3H1d9HoScC/QHvhH9AD4RR3rEGkxOrVQRHJVk5MBd38f2KeW9rXAEbW0O3BRHcu6B7inlvZ5wLC46xBpKaoMiEgu0xUIRWJKVAY6d4b169Mbi4hIc1IyIBJDcmVg993h44/r7isikm2UDIjElKgM7L47/PvfcPPN6Y1HRKS5KBkQiSG5MrDXXuH5xz9OTywiIs1NyYBITInKwGlJ566sX1+YnmBERJqRkgGRGJIrA127wsyZ4fXKle3TE5CISDNSMiASkyVdILtXr/C8bl2b9AQjItKMlAyIxOBb3RVjl13C89q1SgZEJPspGRCJKbkysFP3cm4+/UfswmvpC0hEpJls710LRVqFrSsD+VbO6Yf8lbZ59+FV38LyarvJpohIdlBlQCSm5MoABR1Y0eFSendbycfvfJC2mEREmoOSAZEYtq4MAOy09xgAVi56PcXRiIg0LyUDIjHZVkcCeg0aAMCmdR+mIRoRkeajZEAkhtoqA116dAWgqPPlvPrYjBRHJCLSfJQMiMS0dWUgedDg7p9MwqtqyRhERLKAkgGRGGqrDAA8smYyc1aeRq8uq1j57kepDUpEpJkoGRDZDjvvM5iuh1wFwEcL5qQ5GhGRplEyIBLT1ocJEgaxE4ehAAAfR0lEQVSNHsGXmzpQvnr7k4HHHoPf/W67FyMi0ii66JBIDJs3Q2EdNygsaFPAorVj6JG3/cnAKaeE5wED4LjjtntxIiKxqDIgEsOGDdC5c93TPy84iKG7zKX49zdSWV7Z5PUMGhSev/51OOoomDevyYsSEYlNyYBIPYon/4riO29pMBlou+toAIp2/AlvPD2ryevbvBnatg2vn3kGxoyB+fObvDgRkViUDIjUwaucoq5XUtT5ctzrTwYGHngoVVVhUEHp2480fl0Ozz4Lq1bBpEmwcSOcdFKYtnRpU6IXEYlPyYBIHVa/v2KL9/UlAzvt3hPOrODFlWcxpsf9zH1iZqPWNW0aHHkklJdD9+7Qrh1MnRqmffxxYyMXEWkcJQMidVj7Uc1euG1hGZ061d8/Lz+P/ifcyOoNfRnz5XF8NHlP3pz2S6hqeAzBX/8anocNg8MOC687dYIdd4SrrgpnMpx6KpSUQFlZUz+RiEjtlAyIJKmqrKJ48q947/UlFLxxSXX7/BtH0XuHtxqcv/eeu9P9m68yb+V4du/6Lu1WTmH9uk0sWQIrV9Z+8aJ33oHXX4cTToC33oKxY2umfetbNa8ffTRUJ9q3D5UEEZHmomRAJMm7896iqOuV7LFkCIN7LqhuH9rnbXr3jne54S49ujD8ohnct/h2vvHbGUw4rgNDhkCfPmFnXlAA3/kOTJwIt98OgwfDu+/CAQdsu6xbboEVK+D99+G//7um/cwzoUMHeOKJ7f3EIiK6zoDIFjaVlGzT9trKr5NPGfudMTz2ctp2aMuZ11/KxJuB1TXtpaXh+U9/Cs/33Vcz7dvf3nY5BQXQu3d4ff/98Mc/wurVcMQRYSzBiSeGpGLDBthll5BsHHMMHH54SBT+8Q/YeWc46KBQcdhhh9gfQURaESUDIkk2fbVlMrCk7zz2/+aoJi2rsBD23jscBpg2Dc44A/baC+6+Gx56CK68Ev7+d9h111AV2GmnhpfZsWO4FsFHH8F//gPnnFMz0DDhl7+E44+Hv/1t2/kPPTRUGPbaKyQmeXmhwuAeEoj8fCgubtLH3UJpKdx8M1x9NQ2OtUgoKYFjjw3JTW2J0fr1MHPmLowdW/fVIEWkaZQMiCSp2Fi6xfu9D9pvu5Y3c2a4xPB//RcMHRp2vAMG1AwS/N73mr7sXXYJv/zffRe6dIG//AV69IA774R//jOs4+mn4eWXww5+9Wp47TX47ndhwIDRrFoFu+0GF1wQEpYXXwzL/dWvwliF8vKQLOy6a9j55ufDpk3hsMW6deEaCMnKy+GFF0L/v/8dfv7zML7hJz+p/3MsXw7LlsF774UYXnwxVER22AG+9rVwdgXARRfBQw/tzcEHh8++cSMMHx6SjU2bQlXkuefgwgvD2RgbNoQrOrZpAzNmhIrJ7NlQVRUOsyxfDl9+Gf49AK64IsQr0hopGRBJUlFWCoXwarsnaNO+I/vmbd9P0P794fLLw+thw5ohwK2YwZ57htcXXxyezzgj7PDyohFB48aFB0BFBVx6KcyeXckRR4Rk4Yc/3HKZV14ZHgnt24cd8oknwr/+Bf/+d2ifPBnOPhteeQVuuw2efLImpsRAyYcfhq5dQxLy/e/DJ5/AfvuF96tWhR3xjTfWJCKJec89N7wvLISRI+Grr2Dx4tCWuP5CbfLywmdPuPXW8Ny1axh/0bUrfP45LFiw7bz33x8u+LTHHtCzZ0iuOnYMj969YdSoEH///tCtWzir44MPYNGikAS1aRNiO+20kJy9/HL4bv/wh7DOnXbqwvTpMHp0+JwlJWGZjz4aErSBA+HDD+HTT6FXL1i7NlSL/vKXkERu2BCSnj32CGeZfPhh+C4XLQrjUfr2hTfegAkTQn8ISdudd4aKUJcu4YqWp5wSrmlhFuJdvz4keu3bh8+09Sm07ltuT5KblAyIRMo3lVP55RroCgMPPJjuu/ZId0hNVtcf7oKCsBMvLn6doqIi1q4NO6U334Tf/jbsDEaPDhWG3r3Dr/VPPw3Tf//7sIzu3cOO6nvf27ayceSRYYf1wguw++5hB37ppWHa//1fw3GffTYcckiophxwAPz0pzB3bthpAowd+ynDhu3MW2/BWWeFKsCoUeFwzLRpcP758ItfhB1c586hcrLjjnD00eFKjiNHhoSmpAROPz2sp3//sMO+555wCObvfw9JU79+oXoAsGRJuCJkfTZvDsnPww/XtN16a0gEgn3rnPe3v234u2mMLl1CPBs3bjutrrEpZjVVk/nzQ2Vmr73gb387hEGD4BvfCGe7jBwZkpThw2HECHjqqdDvo4/Cd3vttSGJa9u27vt5JHv++bC9DR3a+M/pHrbNESPCej/6KGzfn31W923HpXZKBiTnrV4d/qiPHl33H6dl8xfTee4RFHX9BICOXWMe6M5y3buHR79+4Y99XdzDgMX8/JAkrFoVfm1u2hTGBUyYAF98UVP9WLgQ9t8fZs0Kv6zz8kK14cADwyGBL76Am24KhxA6dYJf/zr8cv/+98PO+TvfCcuZMCHMP3RoSCzWrHmbceN2ro7rlFPCr30zmDKl5t+3S5fwnHxqZuKwRvINoBI3hvrf/4Uf/ShUKpYuDTvFwYPD5xg2LPwKf+SREN8dd4TP/81vhn777huqAosXh7433RSqJ++8E04n/fOfwy/1W29dy7Rp3fn5z8P3eNFFoZoyenRIYJ5+OsTSrVtIZk44Icx3ySXhe37xxXC/iqlTQyXgkEPCINHjjgs7wRdeCLFMmRISod69w+GRX/86JAWvvBJ2mq++Gta5665hx/mNb4TPWV4OlZVbJm3z5kGXLs78+SFB6NgRpk+vf5u67bbw3LZtiHP9+jCIdejQsIwDDgjfVXl56PPmm6F/585h+fvtB+PHh+90113hpZfCgNn33gv/l887L3z/hYUhQbv66lDhePzxsJxHHw2Hf3bffQzf+hasWRMGzyYu8z12bDg7xz0kg/vuG6o5ZWUhgerePWyf7dqF7+Ptt0P1zT0so127+j9/tjLP4vTJzCYAtwP5wJ/c/Rd19R09erTPi3nXl+LiYoqKipolxlTL1thbMu4hQ8IvOwh//K+4Igy+O/TQ8IsEoPi2Kyna+VfV8/gZVViMQwSt+ft2T/1Avmz9vqH+2N3Djvmoo0K5f/HisFPcXpWVIfFojBdeCDvx0tKQzO2112zatz+cDRvCTvmOO0IFZd68kOjcdFNIlD76KFRCLrwwJILuIVk54YRQMSgoCAnZM8+E5e+wQ9jRnnhiqDisXRuqDk0dwFpYGAatPvtsWP/tt2/miy/a0KFDOMxUn8Rhmc2bw+vVq0NSUFEREoM2bcLr9u3D35O33gqVkbKykNQcfHCYt0OH8H7OHNhnn/A516wJidlzz4Vp3bqFZe6zTzgc1qFDSJQWLQqJyfPPN+82bmbz3X10Q/2ytjJgZvnAH4CjgBXAXDOb4e5vpzcyySRlZTWJAIRfDY8+Gl7n54dfgicd/hqX7DuNLzZ2pkv7DQCxEoHWTiP6m49ZqBQkNEciAI1PBKBmcCuEHV5xcRWHH17TlhhPcvLJYecL4dd6YlzBBx/UbBvl5WEnnfjNaRbGMeywQ4ht5cqQ/GzcGKofXbqEZKF37zDt0UdD9ShxKu7AgaGacuSRIfl4/vlweGjOnFBRGjkyJPsAY8a8Su/eh7HPPuEKn6WlYUd/772h8vCf/4Rf/G3ahHEVO+8cdvYzZoTxN++/H6pWEyaE+QcNCoNnX3klVJxeeikcbtpzz7DMwsLweauqwt+VJ58Mn2vnncO6+vQJ38+CBaEKsmBBqOIk/p0qK8M86Tr9N2uTAWB/YJm7vw9gZtOAEwAlA1JtRXR7gXvvDaesvfpqKN8WFISy6/PPwwCfQp9uHzF79SR22vAqnxSeRFE6gxbJQolxKslJYuKwTXLbjjvWvO7bNzy3b19zJsdRR4XnIUNqXl93Xc08yYd+EmobVNqxYyX7RsM0Tj65pj2xzGTJh44SY2OSnXPOtm3JlbGysnAIobw8DBw99NCQCFRUhErAhg1hJ5+XFw4h9eoVkp033wyHfdauDYNqn38+nF6bDtmcDPQGkm/hsgKo5Rpuze+998Jgo0z04Yf9q489ZpOWivuNN8Jznz7h+YADaq70l/ij8v6Sm1n65f9w6OmDyMvPY3DzhyEiOSY5wUmMI2jTBhIV/uTraySfobHXXjVtgweHgawQzvh55BEYPz49JbesHTNgZqcBR7v7t6P3ZwH7u/slSX0uAC4A6Nmz56hpMS/oXlpaSseOHeuc/vrrXfnhD0dsR/SSSv37f8ntty+kQ4eGbxjUWA1tK5lKcadetsauuFNjzpzuPPjg7lxxxVz69m2+3+njxo2LNWYAd8/KB3AQ8FTS+6uBq+vqP2rUKI9r1qxZsftmmmyNXXGnluJOvWyNXXGnRlVVeG7uuIF5HmOfms2XkZgLDDKz/mbWBjgDmJHmmERERBot3QNys3bMgLtXmNnFwFOEUwvvcffFaQ5LREQk62RtMgDg7jOBmemOQ0REJJtl82ECERERaQZKBkRERFo5JQMiIiKtnJIBERGRVk7JgIiISCunZEBERKSVy9rLETeWma0BPozZvQfwWQuG05KyNXbFnVqKO/WyNXbFnVrNHXdfd9+poU6tJhloDDOb53Gu5ZyBsjV2xZ1aijv1sjV2xZ1a6YpbhwlERERaOSUDIiIirZySgdrdle4AtkO2xq64U0txp162xq64UystcWvMgIiISCunyoCIiEgr12qTAbN03z26abI17myWrd95tsadrbL1+87WuCF7Y8/EuFttMgC0SXcATdQVwMyy7vbTZtY16XXG/Weoh7aVFNJ2knIdAcwsP92BNEH7xIss21YyLtZWlwyY2bFm9k/gdjM7K93xxGVmXczsX8A/Ady9Is0hxWZmx5jZ88AfzOxqAM+CwSraVlJL20nqWLCzmRUDfwJw98r0RhWfmR1nZs8Ad5jZtyCrtpUngF+bWVG640nWapIBMyswsx8BPwVuA14AjjWz49MbWWxlwHpgmJmdBtmRyZvZ/sD1wG8Jo2T3M7NhaQ2qAdpWUk/bSWpFO86y6DHCzI4BMLOM3yeY2XjCtnI78BrwNTPbNa1BNcDMCs3st4S47wS+AM40swPSGliSjP+Hby7Rr6P3gTPc/Z/ADGAVWVDai/6QdwVeAU4Hfgchk8+C0tghwGx3nwF8DFQC7yX+6GRi/NpW0kLbSQpF32sfYCFwFXAtgLtXpTOumMYCT7n734B5QKG7r0pzTPVy93JgKXCmu/+DUI3pStjOM0JWHUtsLDObCKxy96ejpseACjMrdPcSM+sDdEhfhLUzs0uB4cAc4M/RH/INwHHufqSZvWlm1wKPufsiM7NMKZElxf6au98NPAP808zaAScR/nj+kfAH/ydpC3Qr2lZSS9tJakXf967AXHd/1N2rzGwVsCfwG2C1mX0XeNbd301nrFtLin2Buz8C/B34l5kVAhOBpWZ2N+Gz3ZVB2/ipwMfu/mrUdC9hW2nj7qvMrBPQPW0Bbs3dc+4BdAOmA6uBN4H8qD0vqU874K/AXumOd6vYzyH8qpsAPA/8CNgD2Bm4MepzHlABzIveF6Y77jpi/wkh++0G3AIcH/UbDCwChmZAzNpW0h+3tpOWi9uAy4CXgFOBJdH3vyMwGrgu6ncF8CXwt+h9QYbG/m3Cj9iBwD3AoVHfY4F/AP0yIO6do+16VbQ95NWyrXQDngV2SXe8iUdOHiZw9/XAvwh/TOYTlcC20hVo5+5LzWw3MzsllTHW4wjglx7KjpcT/sCcBmwEjokGhl0KPEfNXRgzZYDY1rEXAhdH/x57UhPvO4Rfsm3TEmUSbStpoe0kRTzsecYB17j7dMLOdSRwFPAf4HAzmwmcS9jpvh/NmvbydR2xDwNOd/dlQH9CcgbwFvAJkPaKgLt/CjxBSHZXAxcmJiV16wt84e7/MbM+Zva1FIe5jZxLBpKOLd7n7p8Dk4GTzayvh9JY4tDIAKCTmf2AcKyvwVs8tqSkgTuvA18HcPd5wMuEjf5Q4GlCWXWku48Hisysf/SfJm0aiL2fmQ0h7JD+ZGYdgGsI/6lXpCHcatpWUkvbScriTLxPfN/zgMMAogRsKTCCkBR8TCivDwXOIGwnvVO9nTQy9pFmNpDwy/pXUb9zgd6EgbMpU0/cvwPeJiSQx5lZL3f3pG2lN5BvZpcQDnvskqqY65L1yYCZ7RI950HN6SXuXhY9zyWUj26K3id+GY0CDiKUm45z9ztTHPfQ6PgoUVyJgTsvAXlmdnj0fjGwEugEXOvu1yQtZnd3/yAlASdpROyLCH/I93b3Wwj/kacDQ4CToww6ZWqJO1u2lUPMbI+kuLNiW2lE3Jm2nWwdd1ZsJySdcx/Flfi+lxGSlOHR+9lAZ2AN8F13vy7qvw44xN1XpijeZHFjfx7YgVCFmQwUWDg9cihwlrtvSE241WqN293Lo+3iZUKF69KoPbGtHAUcT9hWjnX3B1MWcR2yNhkws33N7FngZ1Dzj2DB1p/r98DAaGfQ08y6A7OAse5+sadwJKqZjTCzF4EbSRo8khTzu4Q/6qebWb67f0wYPNPX3TebWX5S4vNlquJuYuwrgJ7AXtH084FvuvuZ7r6aFKkn7kzfVvaLSv3PAV2S2jN6W2lC3JmyndQVd6ZvJwea2aOE6zOMt+g00qRfoa8Ryv5HmVmBuy8mlKn3dfeyaDsxAHcvTVXcTYz9bWA3YP8oeTkT+C93P93d/5MBcdtW1YLPCFWivSwcDugZtU8Dxrv799OUfG0j65KB6Lu+FbgPmOru30maludBlZm1N7OOAO7+EfA44bjSbMIfy0Xu/kIaPsI1wHR3PymxEUR/EBOZcAnhfOU2wG8sjJjtCqyFcIqYp+/0n6bE3o1wLA933xyVWTMl7ozcViyck/y/hPPt7wCeAoqS4s7IbWU7407bdhIj7ozcTqL4igi/kB8jVFT+G+gW/S2siGJdBswl/Aq9Kpp1E7A8ml6Z6sMCsF2xlxGNbXD3r9JQOaovbnd3N7O2ZtY2+m5nE5LfRUCxmQ1y91fc/ZlUxt2QrEsGoo22E/C6u98HYGZ7RP8QierAT4EHCMfwMLMzge8RTqEZ5u4LUh23meVFpcdSd78tajvKwqVXLXp/I/Ag4YIU1xL+QL4QvZ+a6pgTsjX2mHH/jAzbVggD5mYDh7n7k4Q/OoOjX0aVUZw/JcO+b3I77uvIvO0EwrH/ue7+APB/hMGYpUl/C280symEQY93APub2XxgHeF4djpla+wNxX0D4ToCvaL33yUMIvxfYIRn2Kmb1TwDTmlo6AEcCOyZ9L4zISO7lnD88TFCpWA/wmjkB4GBW83fPwPi7kQokX6dcMrJU1HcVwP9aok7D+iUId95VsTeDHGnfVuBcGvxpGnnA3cmphH+GD0I7JFJ33crizvt20n0fiRh53gdobJSTDjl7nTg4Fq2745A11THnc2xN0PcRya/z9RH2gNo4B+hK2GkZQmh1LtD0rRLCVfPOpyQ2f8S+DmwU1Kf/AyM+0fAAuAb0fvDCaehHJTUJy+V8eZC7M0Qd0ZtK4SdUOL85IHRH51uiWmZ+n23grgzZTvpmDRtf8LO6JTo/fnA3cA+6f6+szn2Zog7LdtKUx+ZfphgB8IvuUui14nRx7j7HcA4d5/t7psIv/pGA19B9fiBdJ0rW2fcwJOEX6Q7Ru/nEc73LYPquNN5SdBsjX17486obcWDqmjg2vKoz9jENMjM77sVxJ0p28lhiQnu/hrhNMbE9RmeI+zI1kPav2/I3ti3N+60X6uhMTIuGTCzs81srJl19jDY6y7gEcIf7gMs6YYUHi4EkjCKmmuak+oNKEbcvaO43gR+CFxkZj0Ig0+GUzPoK+UbfrbGnsNx7xr1syi2xOmQieQlMfJbcStuzKwt4RS270WzHkFIfBOnQmbi35SMjD1b424OFiW96Q0i/GfbhXCspQp4j5CJfd/dP4v6HAL8F2Hgxv9FbW0J5/X+hnClp8vd/d8ZGvc8d78/ad7/IQxGGgRc5uGUmZTJ1thbSdzJ23i+h/sN3A+85+7XpypmxZ3xcVdv32Y2lHAMexegnHBFxyWKPXfjbnbpOj6ReFBzje89gf+LXhcQruD02FZ9LyOcK94FaB+1HQycmEVxd0pqT8t14rM19lYYdwfFrbgbiLtr0t/C9sCAVMedzbFna9wt8UjbYQIL9wK/GbjZzMYSLjiSKPFXEAYIHhRNS7ibMKL0GWC5me3q7i+7+1+zJO6ngWWJUpOH21qmTLbG3orj/kBxK+4YcS+3cAnhje7+PimUrbFna9wtKS3JQPQFzyecY7yMcBXBcmCcme0P1YN2bgCuT5r1OMIxmoXAcE/xPaybIe43SEPckL2xK27FHUcrjjvxtzDlV7HL1tizNe4Wl45yBGFU5llJ7ycDkwi31pwfteURjsU8QnRbSuAE4PB0lVGyNe5sjl1xK27FnXlxZ3Ps2Rp3i38vafrH6EC4NkDieM23gJ9HrxcCl0SvRwMPpftLyva4szl2xa24FXfmxZ3NsWdr3C39SMthAg/Xk97kNedhHkW4gxaEW1EONrMngYcIF4upPr0nnbI1bsje2BV3ainu1MrWuCF7Y8/WuFtaQcNdWo6FOz054Y5lM6LmEsIV44YBH3h0XMajVC0TZGvckL2xK+7UUtypla1xQ/bGnq1xt5R0X3SoinCTh8+AEVE29hOgyt1f9MwdoJGtcUP2xq64U0txp1a2xg3ZG3u2xt0y0n2cgnATiCrgReD8dMeT63Fnc+yKW3Er7sx8ZGvs2Rp3SzzSfgVCM+sDnAXc4uEeA1khW+OG7I1dcaeW4k6tbI0bsjf2bI27JaQ9GRAREZH0SveYAREREUkzJQMiIiKtnJIBERGRVk7JgIiISCunZEBERKSVUzIgIiLSyikZEMkQZna9mV3RAsvtZ2aLmmlZ95rZqc20rH5m9s2k96PN7I4G5vmumZ0dvT7HzHZthjjOMbPfN9CnyMwO3t51iWSqtN6bQERatX7AN4EHAdx9HjCvvhnc/c6kt+cAi4BVLRPeFoqAUuDlFKxLJOVUGRBJIzP7sZktNbNngL2itpFm9oqZvWlmj5tZNzPb2czmR9P3MTM3s92j9++ZWYfoV/sdZvaymb1f2y94M2tnZn82s7fM7HUzGxe19zOzF8xsQfQ4OGo3M/u9mb1tZn8Hdm7g81xrZnPNbJGZ3ZW425uZDTSzZ8zsjWj5ewC/AA4zs4Vmdln06/tJM8szs+Vm1jVpucvMrGeiehJ9ttHAA9H8x5nZ40n9jzKzx+qJ81wz+7eZPQ8cktR+vJm9Gn03z0Tr7Ad8F7gsWtdhZraTmT0afda5ZnZIHasSyQpKBkTSxMxGAWcA+wInA2OiSfcBV7r7COAt4Dp3/xRoZ2adgcMIv6APM7O+wKfu/lU0by/gUODrhJ3t1i4CcPfhwJnAVDNrB3wKHOXu+wGnA4ly/UmEJGU48B2goVL57919jLsPA9pHcQA8APzB3feJlrEauAp4wd1HuvutiQW4exXwRLRuzOwAYLm7f5LUZ3r0HXzL3UcCMwm3nt0p6nIu8OfaAjSzXsBPCUnAUcCQpMkvAge6+77ANOD/ufty4E7g1ijWF4Dbo/djgFOAPzXwvYhkNB0mEEmfw4DHEztyM5sB7AB0dffnoz5Tgb9Er18m7MAOB24GJgAGvJC0zL9GO9O3zaxnLes8FPgdgLu/Y2YfAnsCHwK/N7ORQGXURrSuhzzc+32VmT3XwGcaZ2b/D+gA7AgsNrNioLe7Px6ttyz6vPUt52HgWsIO/YzofZ3c3c3sfuC/zezPwEHA2XV0PwAodvc1URwPU/N5+wAPRwlDG+CDOpZxJDAk6TN0NrNO7l5SX5wimUrJgEh6NebmIC8QEoi+hF/OV0bzP5nUJ/lmK7XtbevaA18GfALsQ6gYljU2xqjCMBkY7e4fm9n1QLt61lmfOcDA6Jf+icCNMeb5M/A3Qux/cfeKevrW9Zl+R7hpzQwzKwKur6NfHnCQu2+MEZdIxtNhApH0mQ2cZGbtzawTcDzwJbDezA6L+pwFPJ/U/7+Bd6Nf/+uAY4GXGrnObwGY2Z7A7sBSoAuwOlruWUB+Uv8zzCw/+rU8rp5lt4uePzOzjsCpAO6+AVhhZidG621rZh2AEqBTbQvycAe1x4FbgCXuvraWblvM7+6rCIMJrwHurSfOV4EiM+tuZoXAaUnTugCJ+9hPrGtdwL+AixNvooqKSNZSMiCSJu6+gFD+Xgg8Sk25fyLwazN7ExgJ3BD1Xx5Nnx09vwh87u7rG7HayUC+mb0Vrfuc6Natk4GJZvYKoWT+ZdT/ceBdwtiFP1KTmNT2eT4H7o76/hWYmzT5LODS6DO9DOwCvAlURIMKL6tlkQ8Tkp+6DhHcC9wZDeprH7U9AHzs7m/XE+dqwi/+OcAzwIKkydcDfzGzF4DPktr/RkjcFkaJ2qXA6GiQ59uEAYYiWUu3MBaRnGHhegGvu/uUdMcikk2UDIhITohOvfyScFbEpob6i0gNJQMi0mjROf39t2q+0t2fSkc8dTGzV4G2WzWf5e5vpSMekUylZEBERKSV0wBCERGRVk7JgIiISCunZEBERKSVUzIgIiLSyikZEBERaeX+P9Q6TqqsX9EcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1251f41d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "releases_with_most_campaign_days = summary_df.nlargest(10, 'active_campaigns').index.values\n",
    "\n",
    "for release in releases_with_most_campaign_days:\n",
    "    plot_streams_with_ads(df_copy_dates_index, release)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116199d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11748fb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1157e2a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118171eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1191325c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1192a6f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11929c8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119255cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124bdb5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124c93940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "most_popular_releases = summary_df.nlargest(10, 'units').index.values\n",
    "\n",
    "for release in most_popular_releases:\n",
    "    plot_streams_with_ads(df_copy_dates_index, release)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "data analysis questions\n",
    "\n",
    "for normalizing, should we look at data sets that have same number of days since release, \n",
    "\n",
    "for example, look at only 30 days, 60 days, 6 mo, etc\n",
    "similar genre\n",
    "only popular songs within a release (requires another table from snowflake)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To analyze the effect of ads, first I'll consider the ads as either running or not, a simple binary classification. For this a new column is added that will be indicate if there is an active campaign or not (currently active campaigns counts the number of campaigns running, which is not that great of an indication since there is no magnitude referenced, i.e. a small expesinve campaign could be much larger in terms of impressions than several small campaigns)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>releaseid</th>\n",
       "      <th>download_activity_date</th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>streams_with_ads</th>\n",
       "      <th>days_since_release</th>\n",
       "      <th>diff</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>192099</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-28</td>\n",
       "      <td>13278</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1 days</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192100</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-29</td>\n",
       "      <td>15389</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2 days</td>\n",
       "      <td>2111.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192101</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-30</td>\n",
       "      <td>8734</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3 days</td>\n",
       "      <td>-6655.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192102</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-01</td>\n",
       "      <td>7037</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4 days</td>\n",
       "      <td>-1697.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192103</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-02</td>\n",
       "      <td>7846</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5 days</td>\n",
       "      <td>809.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          releaseid download_activity_date  units  active_campaigns  \\\n",
       "192099  26656678424             2018-09-28  13278                 0   \n",
       "192100  26656678424             2018-09-29  15389                 0   \n",
       "192101  26656678424             2018-09-30   8734                 0   \n",
       "192102  26656678424             2018-10-01   7037                 0   \n",
       "192103  26656678424             2018-10-02   7846                 0   \n",
       "\n",
       "        streams_with_ads days_since_release    diff  active_campaigns_binary  \n",
       "192099               NaN             1 days     NaN                        0  \n",
       "192100               NaN             2 days  2111.0                        0  \n",
       "192101               NaN             3 days -6655.0                        0  \n",
       "192102               NaN             4 days -1697.0                        0  \n",
       "192103               NaN             5 days   809.0                        0  "
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['active_campaigns_binary'] = np.where(df.active_campaigns > 0, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>releaseid</th>\n",
       "      <th>download_activity_date</th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>streams_with_ads</th>\n",
       "      <th>days_since_release</th>\n",
       "      <th>diff</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>192099</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-28</td>\n",
       "      <td>13278</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1 days</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192100</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-29</td>\n",
       "      <td>15389</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2 days</td>\n",
       "      <td>2111.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192101</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-30</td>\n",
       "      <td>8734</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3 days</td>\n",
       "      <td>-6655.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192102</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-01</td>\n",
       "      <td>7037</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4 days</td>\n",
       "      <td>-1697.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192103</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-02</td>\n",
       "      <td>7846</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5 days</td>\n",
       "      <td>809.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          releaseid download_activity_date  units  active_campaigns  \\\n",
       "192099  26656678424             2018-09-28  13278                 0   \n",
       "192100  26656678424             2018-09-29  15389                 0   \n",
       "192101  26656678424             2018-09-30   8734                 0   \n",
       "192102  26656678424             2018-10-01   7037                 0   \n",
       "192103  26656678424             2018-10-02   7846                 0   \n",
       "\n",
       "        streams_with_ads days_since_release    diff  active_campaigns_binary  \n",
       "192099               NaN             1 days     NaN                        0  \n",
       "192100               NaN             2 days  2111.0                        0  \n",
       "192101               NaN             3 days -6655.0                        0  \n",
       "192102               NaN             4 days -1697.0                        0  \n",
       "192103               NaN             5 days   809.0                        0  "
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "before analysis, I will remove any `NaN` values from the diff column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>releaseid</th>\n",
       "      <th>download_activity_date</th>\n",
       "      <th>units</th>\n",
       "      <th>active_campaigns</th>\n",
       "      <th>streams_with_ads</th>\n",
       "      <th>days_since_release</th>\n",
       "      <th>diff</th>\n",
       "      <th>active_campaigns_binary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>192100</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-29</td>\n",
       "      <td>15389</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2 days</td>\n",
       "      <td>2111.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192101</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-09-30</td>\n",
       "      <td>8734</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3 days</td>\n",
       "      <td>-6655.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192102</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-01</td>\n",
       "      <td>7037</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4 days</td>\n",
       "      <td>-1697.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192103</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-02</td>\n",
       "      <td>7846</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5 days</td>\n",
       "      <td>809.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192104</th>\n",
       "      <td>26656678424</td>\n",
       "      <td>2018-10-03</td>\n",
       "      <td>7414</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6 days</td>\n",
       "      <td>-432.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          releaseid download_activity_date  units  active_campaigns  \\\n",
       "192100  26656678424             2018-09-29  15389                 0   \n",
       "192101  26656678424             2018-09-30   8734                 0   \n",
       "192102  26656678424             2018-10-01   7037                 0   \n",
       "192103  26656678424             2018-10-02   7846                 0   \n",
       "192104  26656678424             2018-10-03   7414                 0   \n",
       "\n",
       "        streams_with_ads days_since_release    diff  active_campaigns_binary  \n",
       "192100               NaN             2 days  2111.0                        0  \n",
       "192101               NaN             3 days -6655.0                        0  \n",
       "192102               NaN             4 days -1697.0                        0  \n",
       "192103               NaN             5 days   809.0                        0  \n",
       "192104               NaN             6 days  -432.0                        0  "
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.dropna(subset=['diff'])\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "releaseid                            int64\n",
       "download_activity_date      datetime64[ns]\n",
       "units                                int64\n",
       "active_campaigns                     int64\n",
       "streams_with_ads                   float64\n",
       "days_since_release         timedelta64[ns]\n",
       "diff                               float64\n",
       "active_campaigns_binary              int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "releaseid                            int64\n",
       "download_activity_date      datetime64[ns]\n",
       "units                                int64\n",
       "active_campaigns                     int64\n",
       "streams_with_ads                   float64\n",
       "days_since_release         timedelta64[ns]\n",
       "diff                               float64\n",
       "active_campaigns_binary              int64\n",
       "days_since_release_int               int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# for some plotting below the days since release should be in the form of a float, rather than a timedelta\n",
    "df['days_since_release_int'] = df.days_since_release.dt.days\n",
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhAAAAEgCAYAAADlkkq5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzt3X+UXWV56PHvQwKIiWQ0CNiEa9JFrKK03jJG77Jq4g8IrRhbSYlVgVYurQq390qxsSqtLKzS1torgpqKghEFi0ZiiY1aiF31IhIkEoJFA2IZqCCGRkL5YfC5f+x35HiYH2dn9pk5c+b7WWuv2fvd737Ou8+c884z7/4VmYkkSVId+0x1AyRJ0vRjAiFJkmozgZAkSbWZQEiSpNpMICRJUm0mEJIkqTYTCEmSVJsJhCZNRDwlItZHxAMR8YOI+L2pbpOkqRERp0XEloh4OCIumur2qL7ZU90AzSjnA48AhwDPBa6MiG9n5vapbZakKXAXcA5wDHDAFLdFeyG8E6UmQ0TMAe4DnpOZ3y1l64A7M3PNlDZO0pSJiHOAhZl58lS3RfV4CEOT5RnAo8PJQ/Ft4NlT1B5J0gSYQGiyzAV2tZXtAp40BW2RJE2QCYQmy27gwLayA4H7p6AtkqQJMoHQZPkuMDsilrSU/RrgCZSSNA2ZQGhSZOYDwOeBsyNiTkS8EFgJrJvalkmaChExOyKeAMwCZkXEEyLCKwOnERMITaY3U12udQ/wGeBNXsIpzVjvBB4E1gCvL/PvnNIWqRYv45QkSbU5AiFJkmozgZAkSbWZQEiSpNpMICRJUm0mEJIkqbYZcc3tQQcdlIsWLRqzzgMPPMCcOXMm/Fr9GqfJWP0ap8lYkxnn+uuvvzcznzrhF5smpmN/0GSsfo3TZKyZHqfjPiEz+3466qijcjxXX331uHU60a9xmozVr3GajDWZcYAt2QPf08mapmN/0GSsfo3TZKyZHqfTPsFDGJIkqTYTCEmSVJsJhCRJqs0EQpIk1WYCIUmSajOBkCRJtXU1gYiIFRFxS0TsiIg1I6zfPyIuK+uvjYhFpXxpRGwt07cj4rc7jSlJkrqvawlERMwCzgeOBY4AXhsRR7RVeyNwX2YeDnwAOLeU3wQMZuZzgRXARyNidocxJUlSl3XzTpRLgR2ZeRtARFwKrARubqmzEviLMn858KGIiMz8r5Y6TwCyRkz1uG137uLkNVdOOM5FK5q5e50kqb5uHsJYANzRsjxUykask5l7gF3AfICIeH5EbAe2AX9U1ncSU5IkdVlUd63sQuCIVcAxmXlKWX4DsDQzT2+ps73UGSrLt5Y6P26p8yzgYuDFwHHjxWzZ7lTgTGBgYGDgoPXr14/Z3t27dzN37tyJ7HJfx2ky1j07d3H3gxNvz+J5s/r2PZrMOMuXL78+Mwcn/GI9bLr3B03G6tc4Tcaa6XE67RO6eQhjCDisZXkhcNcodYYiYjYwD9jZWiEzvxMRDwDP6TDm8HZrgbUAg4ODuWzZsjEbu3nzZsar04l+jdNkrPMuuYL3b5v4R++iFXP69j3qtTjT3XTvD5qM1a9xmoxlnM508xDGdcCSiFgcEfsBq4ENbXU2ACeV+eOBqzIzyzazASLi6cCvALd3GFOSJHVZ10YgMnNPRJwGbAJmAR/PzO0RcTbVk742ABcC6yJiB9XIw+qy+W8AayLip8DPgDdn5r0AI8Xs1j5IkqSRdfMQBpm5EdjYVnZWy/xDwKoRtlsHrOs0piRJmlzeiVKSJNVmAiFJkmozgZAkSbWZQEiSpNpMICRJUm0mEJIkqTYTCEmSVJsJhCRJqs0EQpIk1WYCIUmSajOBkCRJtZlASJKk2kwgJElSbSYQkiSpNhMISZJUmwmEJEmqzQRCkiTVZgIhSZJqM4GQJEm1mUBIkqTaTCAkSVJtJhCSJKk2EwhJklSbCYQkSarNBEKSJNXW1QQiIlZExC0RsSMi1oywfv+IuKysvzYiFpXyV0TE9RGxrfx8acs2m0vMrWU6uJv7IEmSHm92twJHxCzgfOAVwBBwXURsyMybW6q9EbgvMw+PiNXAucAJwL3AcZl5V0Q8B9gELGjZ7nWZuaVbbZckSWPr5gjEUmBHZt6WmY8AlwIr2+qsBC4u85cDL4uIyMwbMvOuUr4deEJE7N/FtkqSpBq6mUAsAO5oWR7iF0cRfqFOZu4BdgHz2+q8BrghMx9uKftEOXzxroiIZpstSZLGE5nZncARq4BjMvOUsvwGYGlmnt5SZ3upM1SWby11flyWnw1sAI7OzFtL2YLMvDMingR8DvhUZn5yhNc/FTgTGBgYGDho/fr1Y7Z39+7dzJ07d8L73a9xmox1z85d3P3gxNuzeN6svn2PJjPO8uXLr8/MwQm/WA+b7v1Bk7H6NU6TsWZ6nE77hK6dA0E14nBYy/JC4K5R6gxFxGxgHrATICIWAuuBE4eTB4DMvLP8vD8iPk11qORxCURmrgXWAgwODuayZcvGbOzmzZsZr04n+jVOk7HOu+QK3r9t4h+9i1bM6dv3qNfiTHfTvT9oMla/xmkylnE6081DGNcBSyJicUTsB6ymGk1otQE4qcwfD1yVmRkRA8CVwNsz8+vDlSNidkQcVOb3BV4J3NTFfZAkSSPoWgJRzmk4jeoKiu8An83M7RFxdkS8qlS7EJgfETuAtwLDl3qeBhwOvKvtcs39gU0RcSOwFbgT+Ptu7YMkSRpZNw9hkJkbgY1tZWe1zD8ErBphu3OAc0YJe1STbZQkSfV5J0pJklSbCYQkSarNBEKSJNVmAiFJkmozgZAkSbWZQEiSpNpMICRJUm0mEJIkqTYTCEmSVJsJhCRJqq2rt7JWf9l25y5OXnPlhOOccWQDjZEkTSlHICRJUm0mEJIkqTYTCEmSVJsJhCRJqs0EQpIk1WYCIUmSajOBkCRJtZlASJKk2kwgJElSbSYQkiSpNm9lLUmaMk3dIh/gohVzGomjzjgCIUmSajOBkCRJtZlASJKk2rqaQETEioi4JSJ2RMSaEdbvHxGXlfXXRsSiUv6KiLg+IraVny9t2eaoUr4jIj4YEdHNfZAkSY/XtQQiImYB5wPHAkcAr42II9qqvRG4LzMPBz4AnFvK7wWOy8wjgZOAdS3bfBg4FVhSphXd2gdJkjSybo5ALAV2ZOZtmfkIcCmwsq3OSuDiMn858LKIiMy8ITPvKuXbgSeU0YqnAQdm5jWZmcAngVd3cR8kSdIIuplALADuaFkeKmUj1snMPcAuYH5bndcAN2Tmw6X+0DgxJUlSl0X1j3wXAkesAo7JzFPK8huApZl5ekud7aXOUFm+tdT5cVl+NrABODozb42I5wHvzcyXl/UvAt6WmceN8PqnAmcCAwMDAwetX79+zPbu3r2buXPnTni/+zUOwD07d3H3gxOPc8gBNBJn8bxZPfce9drvrZM4y5cvvz4zByf8Yj1suvcHTcbqtThN9SvQe33CdI3TaZ/QzRtJDQGHtSwvBO4apc5QRMwG5gE7ASJiIbAeODEzb22pv3CcmABk5lpgLcDg4GAuW7ZszMZu3ryZ8ep0ol/jAJx3yRW8f9vEPzJnHLmnkTgXrZjTc+9Rr/3emty36Wy69wdNxuq1OE31K9B7fUK/xhnWzUMY1wFLImJxROwHrKYaTWi1geokSYDjgasyMyNiALgSeHtmfn24cmb+B3B/RLygXH1xInBFF/dBkiSNoGsJRDmn4TRgE/Ad4LOZuT0izo6IV5VqFwLzI2IH8FZg+FLP04DDgXdFxNYyHVzWvQn4GLADuBX4Urf2QZIkjayrz8LIzI3Axrays1rmHwJWjbDdOcA5o8TcAjyn2ZZKkqQ6vBOlJEmqzQRCkiTVZgIhSZJqM4GQJEm1mUBIkqTaTCAkSVJtHSUQEfG5iPitiDDhkCRJHY9AfBj4PeB7EfG+iHhmF9skSZJ6XEcJRGZ+NTNfB/w6cDvwlYj4fxHx+xGxbzcbKEmSek/HhyQiYj5wMnAKcAPwf6kSiq90pWWSJKlndXQr64j4PPBMYB1wXHmoFcBlEbGlW42TJEm9qdNnYXysPNfi5yJi/8x8uJNnhkuSpP7S6SGMkR5sdU2TDZEkSdPHmCMQEXEosAA4ICL+OxBl1YHAE7vcNkmS1KPGO4RxDNWJkwuBv20pvx/4sy61SZIk9bgxE4jMvBi4OCJek5mfm6Q2SZKkHjfeIYzXZ+angEUR8db29Zn5tyNsJkmS+tx4hzDmlJ9zu90QSZI0fYx3COOj5ee7J6c5kiRpOuj0YVp/FREHRsS+EfHPEXFvRLy+242TJEm9qdP7QBydmT8BXgkMAc8AzuxaqyRJUk/r9E6Uww/M+k3gM5m5MyLGqi9J6mPb7tzFyWuunHCcM45soDGaEp0mEF+MiH8DHgTeHBFPBR7qXrMkSVIv6/Rx3muA/wEMZuZPgQeAld1smCRJ6l2djkAAPIvqfhCt23yy4fZIkqRpoNOrMNYBfwP8BvC8Mo37FM6IWBERt0TEjohYM8L6/SPisrL+2ohYVMrnR8TVEbE7Ij7Uts3mEnNrmQ7uZB8kSVJzOh2BGASOyMzsNHBEzALOB15BdeXGdRGxITNvbqn2RuC+zDw8IlYD5wInUJ1f8S7gOWVq97rM3NJpWyRJUrM6vYzzJuDQmrGXAjsy87bMfAS4lMefN7ESuLjMXw68LCIiMx/IzH/FEzUlSepJnY5AHATcHBHfBB4eLszMV42xzQLgjpblIeD5o9XJzD0RsQuYD9w7Tns+ERGPAp8DzqkzMiJJkiYuOvnbGxEvGak8M782xjargGMy85Sy/AZgaWae3lJne6kzVJZvLXV+XJZPprry47SWbRZk5p0R8SSqBOJTmfm4kzkj4lSqm10NDAwMHLR+/fox93H37t3MnTvxR370axyAe3bu4u4HJx7nkANoJM7iebN67j3qtd9bJ3GWL19+fWaOe07TdDbd+4MmYzUVp9f6A+i9PmG6xum0T+hoBCIzvxYRTweWZOZXI+KJwKxxNhsCDmtZXgjcNUqdoXJ1xzxg5zhtubP8vD8iPk11qORxCURmrgXWAgwODuayZcvGbOzmzZsZr04n+jUOwHmXXMH7t9W5cGdkZxy5p5E4F62Y03PvUa/93prct+lsuvcHTcZqKk6v9QfQe31Cv8YZ1ulVGP+T6hyFj5aiBcAXxtnsOmBJRCyOiP2A1cCGtjobgJPK/PHAVWMdjoiI2RFxUJnfl+rW2jd1sg+SJKk5naZ9b6H6T/9agMz83niXT5ZzGk4DNlGNVnw8M7dHxNnAlszcAFwIrIuIHVQjD6uHt4+I24EDgf0i4tXA0cAPgE0leZgFfBX4+053VpIkNaPTBOLhzHxk+PkX5XDDuCdPZOZGYGNb2Vkt8w8Bq0bZdtEoYY/qrMmSJKlbOr2M82sR8WfAARHxCuAfgC92r1mSJKmXdZpArAF+BGwD/pBqVOGd3WqUJEnqbZ1ehfGziPgC8IXM/FGX2yRJknrcmCMQUfmLiLgX+Dfgloj4UUScNdZ2kiSpv413CON/Ay8EnpeZ8zPzKVR3k3xhRPyfrrdOkiT1pPESiBOB12bm94cLMvM24PVlnSRJmoHGSyD2zczHPZeinAexb3eaJEmSet14CcQje7lOkiT1sfGuwvi1iPjJCOUBPKEL7ZEkSdPAmAlEZo73wCxJkjQDdXojKUmSpJ8zgZAkSbWZQEiSpNpMICRJUm0mEJIkqTYTCEmSVJsJhCRJqs0EQpIk1WYCIUmSajOBkCRJtZlASJKk2kwgJElSbSYQkiSpNhMISZJUmwmEJEmqrasJRESsiIhbImJHRKwZYf3+EXFZWX9tRCwq5fMj4uqI2B0RH2rb5qiI2Fa2+WBERDf3QZIkPV7XEoiImAWcDxwLHAG8NiKOaKv2RuC+zDwc+ABwbil/CHgX8CcjhP4wcCqwpEwrmm+9JEkaSzdHIJYCOzLztsx8BLgUWNlWZyVwcZm/HHhZRERmPpCZ/0qVSPxcRDwNODAzr8nMBD4JvLqL+yBJkkbQzQRiAXBHy/JQKRuxTmbuAXYB88eJOTROTEmS1GVR/SPfhcARq4BjMvOUsvwGYGlmnt5SZ3upM1SWby11flyWTwYGM/O0svw84L2Z+fKy/CLgbZl53AivfypwJjAwMDBw0Pr168ds7+7du5k7d+4E97p/4wDcs3MXdz848TiHHEAjcRbPm9Vz71Gv/d46ibN8+fLrM3Nwwi/Ww6Z7f9BkrKbi9Fp/AL3XJ0zXOJ32CbMn3KLRDQGHtSwvBO4apc5QRMwG5gE7x4m5cJyYAGTmWmAtwODgYC5btmzMxm7evJnx6nSiX+MAnHfJFbx/28Q/MmccuaeROBetmNNz71Gv/d6a3LfpbLr3B03GaipOr/UH0Ht9Qr/GGdbNQxjXAUsiYnFE7AesBja01dkAnFTmjweuyjGGRDLzP4D7I+IF5eqLE4Ermm+6JEkaS9dGIDJzT0ScBmwCZgEfz8ztEXE2sCUzNwAXAusiYgfVyMPq4e0j4nbgQGC/iHg1cHRm3gy8CbgIOAD4UpkkSTPctjt3cfKaKycc56IVcxpoTf/r5iEMMnMjsLGt7KyW+YeAVaNsu2iU8i3Ac5prpSTNHE39kT3jyAYao2mtqwmEpl5TnQX0XofhfxuSNHW8lbUkSarNBEKSJNVmAiFJkmozgZAkSbV5EqUkSS08QbszJhCS1CVNXgXV73+MNP14CEOSJNVmAiFJkmozgZAkSbWZQEiSpNo8iVKSpgGfYaFe4wiEJEmqzREISZJ6WK/el8IRCEmSVJsJhCRJqs0EQpIk1WYCIUmSajOBkCRJtZlASJKk2kwgJElSbSYQkiSpNm8k1aO8ba00dfz+qQn9/jkygdCM19SXHJq/05sk9SoPYUiSpNq6mkBExIqIuCUidkTEmhHW7x8Rl5X110bEopZ1by/lt0TEMS3lt0fEtojYGhFbutl+SZI0sq4dwoiIWcD5wCuAIeC6iNiQmTe3VHsjcF9mHh4Rq4FzgRMi4ghgNfBs4JeAr0bEMzLz0bLd8sy8t1ttlyRJY+vmCMRSYEdm3paZjwCXAivb6qwELi7zlwMvi4go5Zdm5sOZ+X1gR4knSZJ6QDcTiAXAHS3LQ6VsxDqZuQfYBcwfZ9sEvhwR10fEqV1otyRJGkdkZncCR6wCjsnMU8ryG4ClmXl6S53tpc5QWb6VaqThbOCazPxUKb8Q2JiZn4uIX8rMuyLiYOArwOmZ+S8jvP6pwJnAwMDAwEHr168fs727d+9m7ty5E97vpuLcs3MXdz844TAccgCNxGkyVr/GAVg8b1ZPfY46ibN8+fLrM3Nwwi/Ww+r2B37/pl+cJmP1a5xO+6dO+4RuXsY5BBzWsrwQuGuUOkMRMRuYB+wca9vMHP55T0Ssp0o4HpdAZOZaYC3A4OBgLlu2bMzGbt68mfHqdKKpOOddcgXv3zbxX88ZR+5pJE6Tsfo1DlSXcfbS56ipONNd3f7A79/0i9NkrH6N01T/NKybhzCuA5ZExOKI2I/qpMgNbXU2ACeV+eOBq7IaEtkArC5XaSwGlgDfjIg5EfEkgIiYAxwN3NTFfZAkSSPo2ghEZu6JiNOATcAs4OOZuT0izga2ZOYG4EJgXUTsoBp5WF223R4RnwVuBvYAb8nMRyPiEGB9dZ4ls4FPZ+Y/dWsfpLqauimVN6SS1Ou6eifKzNwIbGwrO6tl/iFg1Sjbvgd4T1vZbcCvNd/S5vT7rUslSQLvRClJkvaCCYQkSarNh2lJPchzKST1OkcgJElSbY5AFJ78KElS5xyBkCRJtZlASJKk2kwgJElSbSYQkiSpNhMISZJUmwmEJEmqzQRCkiTVZgIhSZJqM4GQJEm1mUBIkqTaTCAkSVJtJhCSJKk2EwhJklSbCYQkSarNBEKSJNVmAiFJkmozgZAkSbWZQEiSpNpMICRJUm0mEJIkqbauJhARsSIibomIHRGxZoT1+0fEZWX9tRGxqGXd20v5LRFxTKcxJUlS93UtgYiIWcD5wLHAEcBrI+KItmpvBO7LzMOBDwDnlm2PAFYDzwZWABdExKwOY0qSpC7r5gjEUmBHZt6WmY8AlwIr2+qsBC4u85cDL4uIKOWXZubDmfl9YEeJ10lMSZLUZd1MIBYAd7QsD5WyEetk5h5gFzB/jG07iSlJkrosMrM7gSNWAcdk5ill+Q3A0sw8vaXO9lJnqCzfSjXKcDZwTWZ+qpRfCGykSnjGjNkS+1TgTGAAmAtsH6fJBwH37v0e932cJmP1a5wmY01mnKdn5lMbeK2e1Qf9QZOx+jVOk7FmepyO+oTZE2/PqIaAw1qWFwJ3jVJnKCJmA/OAneNsO15MADJzLbC208ZGxJbMHOy0/kyL04tt6rU4vdimJvdtOpvu/UEvtqnX4vRim/o1zrBuHsK4DlgSEYsjYj+qkyI3tNXZAJxU5o8HrspqSGQDsLpcpbEYWAJ8s8OYkiSpy7o2ApGZeyLiNGATMAv4eGZuj4izgS2ZuQG4EFgXETuoRh5Wl223R8RngZuBPcBbMvNRgJFidmsfJEnSyLp5CIPM3Eh17kJr2Vkt8w8Bq0bZ9j3AezqJ2ZCOhzdnaJwmY/VrnCZj9VqcmaYX3/9ea1OvxWkylnE60LWTKCVJUv/yVtaSJKk2EwhJklRbV8+BkCLimVR3C10AJNVltxsy8ztT2jBJU8I+oX84AqGuiYg/pbrdePDYZbgBfMYHoUkzj31Cf5mxJ1GWZ24s5Rez4G/mXrwhEXFIa5zMvHsv29RUnEb2baJxIuK7wLMz86dt5fsB2zNzSZ32NCEi5gFvB14NDN9p7R7gCuB9mfmfHcaZTfUwuN8GfonH3p8rgAvb97nbcUqsRvZtJmqyPyjxeqZP6JX+oMSwT5i8OF3vD2ZkAhERRwMXAN8D7izFC4HDgTdn5pc7jPNc4CNUd9BsjfOfJc63JjNOidXUvk04TkT8G9Wtx3/QVv504MuZ+SudtKVs09SXfBNwFXBxZv6wlB1KdUOzl2fmKzqM8xmq38/FVHdOher9OQl4SmaeMJlxSqxG9m2maeo7U2L1VJ/QS/1BiWOfMHlxut8fZOaMm4DvAItGKF8MfKdGnK3A80cofwHw7cmO0/C+TTgO1aPYdwBforr+eC3wT6VsRc392gT8KXBoS9mhpewrNeLcsjfrasb57mTHaXLfZtrU1HembNNTfUIv9Qelvn1Cb8RppD+YqedAzOaxzK7VncC+NeLMycxr2wsz8xvAnCmIA83t24TjZOY/Ac8A3k31Zf8y8BfAr5R1dSzKzHOzZNIl/g8z81zgv9WI84OIeFsZGgaqYeJybPaOMbZrd19ErIqIn3+HImKfiDgBuG8K4kBz+zbTNPWdgd7rE3qmPwD7hEmO0/X+YKZehfFx4LqIuJTH3sjDqG6lfWGNOF+KiCuBT7bFOZEqq57sONDcvjUSJzN/BnyjxuuO5gcR8Taq4bi74efHh0+m3pfhBGAN8LWyfQJ3Uz1T5XdrxFkNnAucHxHDQ6UDwNVlXd04F0TEfVQnlM3bizjQ3L7NNE19Z6D3+oSe6g/APqFGnIn2CV3vD2bkORAAEfEsHruUKKiy6w2ZeXPNOMeOEqfW7bYj4jeBV000Tol1xCix6u5bI+9REyLiyVRfhpXAwaV4+MvwvszsODOP6jKyhcA3MnN3S/mKOv8FRcTzqb6UtwLPohpevnlvfmcl3nyq9/nvMvP1exOjLd6LqE5625Y1juPPRE1+1nutT+jH/qC0xz6hXqzG+4MZm0B0S0QcnJn3THU7ZpKI+P3M/ESHdf8X8BaqY7rPBf44M68o676Vmb/eYZw/B46lGsX7CtUX82vAy4FNWT3LpZM4Iz1N9qVUJz+Rma/qJE6J9c3MXFrmT6Hazy8ARwNfzMz3dRpLzbFPmHz2CZPUHzRxIsV0m2g5WYdqaOhjwI3Ap4FDasR5ygjT7cCTqc6W7TTOocCHgfOB+VTHBG8EPgs8rea+HQi8F1gHvLZt3QUNvX9fmurfYVt7/r1G3W3A3DK/CNhC1WEA3FAzzizgicBPgANL+QHAjTXifAv4FLAMeEn5+R9l/iU134cbWuavA55a5udQ/dcx5b+rXpya6g/K9j3VJ8zE/qC0acb3CZPRH8zUcyD+kseOI74f+CFwHPA7wEepLgvqxL3AD9rKFlB9ABL45Q7jXARcSfWLvRq4BHgl1dDcR8rPTn2C6lKrzwF/EBHHA7+XmQ9TDad1JCJGy7qDKkufVBFx42irgENGWTeSWVmGKDPz9ohYBlxeLiOLGnH2ZPWI+f+KiFsz8ycl5oMR8bMacQaBPwbeAZyZmVsj4sHM/FqNGMP2KcO6+1CNLv6otOmBiNizF/Fmiqb6A+i9PqEv+wOwT+hA9/uDqc4Up2ICvtUyv7Vt3dYacf6EquM5sqXs+3vRntZM8d/3tj2j7M87gK9T/RfzrRpxHqUaMrt6hOnBKfid3U3VUT29bVpEdYOdTuNcBTy3rWw21clqj9aIcy3wxDK/T0v5vDrvc8t2C4F/AD7U/hmoEeN24Dbg++XnoaV8bt3P0UyamuoPSv2e6hP6tT8obbJPGHv7rvcHM3UE4uCIeCtVdnlgRESWd5Yat/fOzL8pZyV/ICLuAP6c6r+Mulpf85NjrOvE/hGxT1ZnOpOZ74mIIeBfqD44nfoO8IeZ+b32FWVfJ9s/Ug0zbh2hPZtrxDkR+IXsOzP3ACdGxEdrxHlxVv/FMfxeF/tS3aillswcAlZFxG9RDX/WlpmLRln1M6q72mlkjfQH0JN9Qr/2B2CfMN72i0ZZ1Vh/MCNPoiwnu7S6IDN/FNVduv4qM0/ci5jHUWX3izLz0Jrbnl1ed3db+eFUZxMfXyPWX1Hd0e2rbeUrgPOyw1vFlqHObZl5ywjrXp2ZX+i0TVIv60Z/UOJOeZ9gf6BumpEJRLuIOC4zv9hAnFcBt2XmTb3QniZjNdkmqZc1/P3rqT6h1+JoejOBoDoZJzN/td/i9GqbpF7Wz9+/Xouj6W2m3sq6XZ0zbadTnCZjNdkmqZf18/ev1+JoGjOBqDQ1DNNrcZqM5VCVZop+/v71WhxNYyZVdiIEAAAEd0lEQVQQkiSpNhMISZJUmwlE5e4+jdNkrCbbJPWyfv7+9VocTWNehSFJkmpzBEKSJNVmAiFJkmozgehxEfFoRGyNiO0R8e2IeGtE7FPWDUbEB8v8/hHx1VL3hIh4Udlma0QcMLV7MbKIODsiXj7BGAMR8eam2iT1MvuDcWPYH0wiz4HocRGxOzPnlvmDgU8DX8/MP2+r9wLg3Mx8SVn+CHBtZn6iw9cJqs9DncfOTrmIWAT8Y2Y+Z4R1s7J6vK7UF+wPxmZ/MMmaeKSnU/cmYHfb8i8DP6a6E9wyqifSHQzsAHYBW4E/BHZSPcb1krLdmcB1wI3Au0vZIqqn7F0A3ED1KNyjgWuAb1E9SnZuqXs78O5Svg14ZimfC3yilN0IvKaUjxinbV8uAo4fK35b/WcD3yz7eCOwBLgUeLCU/XV5T66m6lhvLtu9vmW7jwKzSvmHgS3A9uH3pKUtf1navwX4dWATcCvwR6XO06ieaLgVuAl40VR/Vpz6f7I/+IX69gdT/Xmc6gY4jfMLauswStl9wCHDHUYp+/l8WW79Mh4NrC2dzD6lk3lx6TB+Bryg1DuofAnmlOU/Bc4q87cDp5f5NwMfK/PnAn/X8rpPHitO2360dxiPi99W/zzgdWV+P+CAsg83tdRZBjwALC7LzwK+COxbli8ATizzTyk/ZwGbgV9tacubyvwHqDqnJwFPBe4p5WcA72jZ/klT/Vlx6v/J/uAX6tsfTPE0G01Hde9Df3SZbijLc6my9X8HfpCZ3yjlLwCOAL5ejWCyH1XWPezz5ef1wO+U+ZcDq4crZOZ9EfHKceKMZqT4ra4B3hERC4HPZ+b3Svx238zM75f5lwFHAdeVugcA95R1vxsRpwKzqf6DOIKqcwDYUH5uo/pv6X7g/oh4KCIGqP57+3hE7At8ITO3drB/UjfYH9gfTAkTiGkmIn4ZeJTqQ/+sTjcD3puZH22LtYgqO2+t95XMfO0ocR4uPx/lsc9O8Pj74o8XZzQjxf+5zPx0RFwL/BawKSJOAW4bIU77Pl2cmW//hQZGLAb+BHhe6eQuAp4wQlt+1jI/vDw7M/8lIl5c2rIuIv46Mz/Z4X5KjbA/sD+YSl6FMY1ExFOBjwAfyjJW1qFNwB9ExPDJVwvKCVjtvgG8MCIOL/WeGBHPGCf2l4HTWtr45L2MM67SWd6WmR+k+o/gV4H7qYYTR/PPwPHD+xsRT4mIpwMHUnUsuyLiEODYmm15OtXw5d8DF1IdF5Umjf2B/cFUcwSi9x0QEVuBfYE9wDrgb+sEyMwvR8SzgGvKsN1uqhOJHm2r96OIOBn4TETsX4rfCXx3jPDnAOdHxE0l3rsz8/N7EacTJwCvj4ifAj8Ezs7MnRHx9fL6XwKubNunmyPincCXy+VuPwXekpnfiIgbqE6Yug34es22LAPOLG3ZDZw4kR2TOmR/8Bj7gynmZZySJKk2D2FIkqTaTCAkSVJtJhCSJKk2EwhJklSbCYQkSarNBEKSJNVmAiFJkmozgZAkSbX9f45DhcDQmhR8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124c30e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "# plot probability densities of difference in streams when touring and not touring\n",
    "bins = range(-50, 60, 10)\n",
    "\n",
    "axes = df.hist(\n",
    "    column='diff', by='active_campaigns_binary', bins=bins, density=True,\n",
    "    sharey=True, figsize=(8, 4))\n",
    "for ax in axes:\n",
    "    ax.set_xticks(bins)\n",
    "    ax.set_xlabel('Difference in streams')\n",
    "    ax.grid(True)\n",
    "axes[0].set_ylabel('Density');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Test Multiple Comparison ttest_ind \n",
       "FWER=0.05 method=bonf\n",
       "alphacSidak=0.05, alphacBonf=0.050</caption>\n",
       "<tr>\n",
       "  <th>group1</th> <th>group2</th>  <th>stat</th>   <th>pval</th>  <th>pval_corr</th> <th>reject</th>\n",
       "</tr>\n",
       "<tr>\n",
       "     <td>0</td>      <td>1</td>   <td>0.2013</td> <td>0.8405</td>  <td>0.8405</td>    <td>False</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.table.SimpleTable'>"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# perform hypothesis testing\n",
    "alpha = 0.05\n",
    "\n",
    "sumtab = multicomp.MultiComparison(\n",
    "    df['diff'],\n",
    "    df['active_campaigns_binary']).allpairtest(weightstats.ttest_ind, alpha=alpha)[0]\n",
    "\n",
    "sumtab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Test Multiple Comparison ttest_ind \n",
       "FWER=0.05 method=bonf\n",
       "alphacSidak=0.05, alphacBonf=0.050</caption>\n",
       "<tr>\n",
       "  <th>group1</th> <th>group2</th>  <th>stat</th>   <th>pval</th> <th>pval_corr</th> <th>reject</th>\n",
       "</tr>\n",
       "<tr>\n",
       "     <td>0</td>      <td>1</td>   <td>-4.5992</td>  <td>0.0</td>    <td>0.0</td>     <td>True</td> \n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.table.SimpleTable'>"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# perform hypothesis testing\n",
    "alpha = 0.05\n",
    "\n",
    "filtered_df = df[\n",
    "    (df.days_since_release_int > 365) &\n",
    "    (df.days_since_release_int <= 1095)]\n",
    "\n",
    "sumtab = multicomp.MultiComparison(\n",
    "    filtered_df['diff'],\n",
    "    filtered_df['active_campaigns_binary']\n",
    ").allpairtest(weightstats.ttest_ind, alpha=alpha)[0]\n",
    "\n",
    "sumtab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1192e04e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot probability densities for different release dates\n",
    "bins = range(-200, 210, 100)\n",
    "\n",
    "fig, axes = plt.subplots(4, 2, figsize=(10, 20), sharey=True)\n",
    "\n",
    "# released less than a month\n",
    "df[df.days_since_release_int <= 30].hist(\n",
    "    column='diff', by='active_campaigns_binary', density=True, bins=bins,\n",
    "    ax=axes[0])\n",
    "axes[0, 0].set_ylabel('< 1 month')\n",
    "\n",
    "# between one month and one year\n",
    "df[\n",
    "    (df.days_since_release_int > 30) &\n",
    "    (df.days_since_release_int <= 365)].hist(\n",
    "        column='diff', by='active_campaigns_binary', density=True, bins=bins,\n",
    "        ax=axes[1])\n",
    "axes[1, 0].set_ylabel('1 month - 1 year')\n",
    "\n",
    "# between one and three years\n",
    "df[\n",
    "    (df.days_since_release_int > 365) &\n",
    "    (df.days_since_release_int <= 1095)].hist(\n",
    "        column='diff', by='active_campaigns_binary', density=True, bins=bins,\n",
    "        ax=axes[2])\n",
    "axes[2, 0].set_ylabel('1 year - 3 years')\n",
    "\n",
    "# more than three years\n",
    "df[df.days_since_release_int > 1095].hist(\n",
    "    column='diff', by='active_campaigns_binary', density=True, bins=bins,\n",
    "    ax=axes[3])\n",
    "axes[3, 0].set_ylabel('> 3 years')\n",
    "\n",
    "for ax in axes.flat:\n",
    "    ax.grid(True)\n",
    "    ax.set_xticks(bins)\n",
    "\n",
    "axes[3, 0].set_xlabel('Difference in streams')\n",
    "axes[3, 1].set_xlabel('Difference in streams');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11616f780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot scatter of difference in total streams against days of release when touring\n",
    "# and not touring\n",
    "fig, axes = plt.subplots(1, 2, figsize=(8, 4), sharey=True)\n",
    "\n",
    "df[df.active_campaigns_binary == 0].plot(\n",
    "    'days_since_release_int', 'diff', kind='scatter', xlim=[0, 5000],\n",
    "    ylim=[-100000, 100000], grid=True, ax=axes[0], title='No Active Campaigns')\n",
    "df[df.active_campaigns_binary == 1].plot(\n",
    "    'days_since_release_int', 'diff', kind='scatter', xlim=[0, 5000],\n",
    "    ylim=[-100000, 100000], grid=True, ax=axes[1], title='Active Campaigns');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1192fdef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot scatter of difference in total streams against days of release with and without ad campaigns\n",
    "fig, axes = plt.subplots(1, 2, figsize=(8, 4), sharey=True)\n",
    "\n",
    "df[df.active_campaigns_binary == 0].plot(\n",
    "    'days_since_release_int', 'diff', kind='scatter', xlim=[0, 365],\n",
    "    ylim=[-100000, 100000], grid=True, ax=axes[0], title='No Active Campaigns')\n",
    "df[df.active_campaigns_binary == 1].plot(\n",
    "    'days_since_release_int', 'diff', kind='scatter', xlim=[0, 365],\n",
    "    ylim=[-100000, 100000], grid=True, ax=axes[1], title='Active Campaigns');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
