19. Subscription Retention Rate.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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>user_id</th>\n",
       "      <th>subscription_monthly_cost</th>\n",
       "      <th>country</th>\n",
       "      <th>source</th>\n",
       "      <th>billing_cycles</th>\n",
       "      <th>is_active</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1459</td>\n",
       "      <td>29</td>\n",
       "      <td>Spain</td>\n",
       "      <td>ads</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>12474</td>\n",
       "      <td>49</td>\n",
       "      <td>France</td>\n",
       "      <td>ads</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>12294</td>\n",
       "      <td>49</td>\n",
       "      <td>Germany</td>\n",
       "      <td>ads</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3878</td>\n",
       "      <td>49</td>\n",
       "      <td>China</td>\n",
       "      <td>ads</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9567</td>\n",
       "      <td>49</td>\n",
       "      <td>UK</td>\n",
       "      <td>ads</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   user_id  subscription_monthly_cost  country source  billing_cycles  \\\n",
       "0     1459                         29    Spain    ads               4   \n",
       "1    12474                         49   France    ads               5   \n",
       "2    12294                         49  Germany    ads               2   \n",
       "3     3878                         49    China    ads               1   \n",
       "4     9567                         49       UK    ads               5   \n",
       "\n",
       "   is_active  \n",
       "0          0  \n",
       "1          0  \n",
       "2          0  \n",
       "3          0  \n",
       "4          0  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv('./data/subscription.csv')\n",
    "data = data.drop(labels='subscription_signup_date', axis=1)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 500000 entries, 0 to 499999\n",
      "Data columns (total 6 columns):\n",
      "user_id                      500000 non-null int64\n",
      "subscription_monthly_cost    500000 non-null int64\n",
      "country                      500000 non-null object\n",
      "source                       500000 non-null object\n",
      "billing_cycles               500000 non-null int64\n",
      "is_active                    500000 non-null int64\n",
      "dtypes: int64(4), object(2)\n",
      "memory usage: 22.9+ MB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Question 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>subscription_monthly_cost</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.607542</td>\n",
       "      <td>0.458473</td>\n",
       "      <td>0.376232</td>\n",
       "      <td>0.323028</td>\n",
       "      <td>0.285416</td>\n",
       "      <td>0.257157</td>\n",
       "      <td>0.235901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.383666</td>\n",
       "      <td>0.206247</td>\n",
       "      <td>0.134043</td>\n",
       "      <td>0.096466</td>\n",
       "      <td>0.074072</td>\n",
       "      <td>0.059408</td>\n",
       "      <td>0.048845</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.158769</td>\n",
       "      <td>0.070040</td>\n",
       "      <td>0.042411</td>\n",
       "      <td>0.029676</td>\n",
       "      <td>0.022182</td>\n",
       "      <td>0.017937</td>\n",
       "      <td>0.015007</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             1         2         3         4         5  \\\n",
       "subscription_monthly_cost                                                \n",
       "29                         1.0  0.607542  0.458473  0.376232  0.323028   \n",
       "49                         1.0  0.383666  0.206247  0.134043  0.096466   \n",
       "99                         1.0  0.158769  0.070040  0.042411  0.029676   \n",
       "\n",
       "                                  6         7         8  \n",
       "subscription_monthly_cost                                \n",
       "29                         0.285416  0.257157  0.235901  \n",
       "49                         0.074072  0.059408  0.048845  \n",
       "99                         0.022182  0.017937  0.015007  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def retention_rate(df):\n",
    "    total_num = len(df)\n",
    "    rate = []\n",
    "    for i in [1, 2, 3, 4, 5, 6, 7, 8]:\n",
    "        rate.append(len(df[df['billing_cycles'] >= i]) / total_num)\n",
    "        \n",
    "    return pd.Series(rate, index=[1, 2, 3, 4, 5, 6, 7, 8])\n",
    "\n",
    "# calculate the retention rate for each montly cost\n",
    "grouped = data.groupby('subscription_monthly_cost').apply(retention_rate)\n",
    "grouped"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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VVwgLC+O9995j+PDhPPXUU1x55ZUEBAR4NJ830RUsN3JEOci3+fzYsBMcSodln1Kvcjle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\nQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualization\n",
    "fig, ax = plt.subplots(figsize=(12, 6))\n",
    "grouped.T.plot(kind='line', ax=ax)\n",
    "ax.set_xlabel('Billing Cycle', fontsize=12)\n",
    "ax.set_ylabel('Retention Rate', fontsize=12)\n",
    "ax.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's add some non-linear component. For features, we add $x$, $x^2$, and $log(x)$ as the feature. For the target, we fit $log(rate)$ instead. \n",
    "\n",
    "Reference resource: [Online link](https://github.com/stasi009/TakeHomeDataChallenges/blob/master/19.SubscribeRetention/subscribe_retention.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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>x</th>\n",
       "      <th>x2</th>\n",
       "      <th>logx</th>\n",
       "      <th>y_29</th>\n",
       "      <th>y_49</th>\n",
       "      <th>y_99</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>0.693147</td>\n",
       "      <td>0.607542</td>\n",
       "      <td>0.383666</td>\n",
       "      <td>0.158769</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>1.098612</td>\n",
       "      <td>0.458473</td>\n",
       "      <td>0.206247</td>\n",
       "      <td>0.070040</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>16</td>\n",
       "      <td>1.386294</td>\n",
       "      <td>0.376232</td>\n",
       "      <td>0.134043</td>\n",
       "      <td>0.042411</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>25</td>\n",
       "      <td>1.609438</td>\n",
       "      <td>0.323028</td>\n",
       "      <td>0.096466</td>\n",
       "      <td>0.029676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>6</td>\n",
       "      <td>36</td>\n",
       "      <td>1.791759</td>\n",
       "      <td>0.285416</td>\n",
       "      <td>0.074072</td>\n",
       "      <td>0.022182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>7</td>\n",
       "      <td>49</td>\n",
       "      <td>1.945910</td>\n",
       "      <td>0.257157</td>\n",
       "      <td>0.059408</td>\n",
       "      <td>0.017937</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>64</td>\n",
       "      <td>2.079442</td>\n",
       "      <td>0.235901</td>\n",
       "      <td>0.048845</td>\n",
       "      <td>0.015007</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   x  x2      logx      y_29      y_49      y_99\n",
       "0  1   1  0.000000  1.000000  1.000000  1.000000\n",
       "1  2   4  0.693147  0.607542  0.383666  0.158769\n",
       "2  3   9  1.098612  0.458473  0.206247  0.070040\n",
       "3  4  16  1.386294  0.376232  0.134043  0.042411\n",
       "4  5  25  1.609438  0.323028  0.096466  0.029676\n",
       "5  6  36  1.791759  0.285416  0.074072  0.022182\n",
       "6  7  49  1.945910  0.257157  0.059408  0.017937\n",
       "7  8  64  2.079442  0.235901  0.048845  0.015007"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's create features\n",
    "x = np.array([1, 2, 3, 4, 5, 6, 7, 8])\n",
    "x2 = x ** 2\n",
    "logx = np.log(x)\n",
    "rate_29 = grouped.loc[29].values\n",
    "rate_49 = grouped.loc[49].values\n",
    "rate_99 = grouped.loc[99].values\n",
    "\n",
    "features = pd.DataFrame({'x': x, 'x2': x2, 'logx': logx, 'y_29': rate_29, 'y_49': rate_49, 'y_99': rate_99}, \n",
    "                        columns=['x', 'x2', 'logx', 'y_29', 'y_49', 'y_99'])\n",
    "features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Fit linear regression model\n",
    "model_29 = LinearRegression()\n",
    "model_49 = LinearRegression()\n",
    "model_99 = LinearRegression()\n",
    "\n",
    "model_29 = model_29.fit(features[['x', 'x2', 'logx']], np.log(features['y_29']))\n",
    "model_49 = model_49.fit(features[['x', 'x2', 'logx']], np.log(features['y_49']))\n",
    "model_99 = model_99.fit(features[['x', 'x2', 'logx']], np.log(features['y_99']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Question 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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>x</th>\n",
       "      <th>x2</th>\n",
       "      <th>logx</th>\n",
       "      <th>pred_29</th>\n",
       "      <th>pred_49</th>\n",
       "      <th>pred_99</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.999502</td>\n",
       "      <td>1.003844</td>\n",
       "      <td>0.992027</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>0.693147</td>\n",
       "      <td>0.608619</td>\n",
       "      <td>0.378064</td>\n",
       "      <td>0.163419</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>1.098612</td>\n",
       "      <td>0.458101</td>\n",
       "      <td>0.208259</td>\n",
       "      <td>0.069098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>16</td>\n",
       "      <td>1.386294</td>\n",
       "      <td>0.375765</td>\n",
       "      <td>0.135129</td>\n",
       "      <td>0.041513</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>25</td>\n",
       "      <td>1.609438</td>\n",
       "      <td>0.322898</td>\n",
       "      <td>0.096500</td>\n",
       "      <td>0.029441</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>6</td>\n",
       "      <td>36</td>\n",
       "      <td>1.791759</td>\n",
       "      <td>0.285608</td>\n",
       "      <td>0.073590</td>\n",
       "      <td>0.022695</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>7</td>\n",
       "      <td>49</td>\n",
       "      <td>1.945910</td>\n",
       "      <td>0.257606</td>\n",
       "      <td>0.058968</td>\n",
       "      <td>0.018197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>64</td>\n",
       "      <td>2.079442</td>\n",
       "      <td>0.235610</td>\n",
       "      <td>0.049174</td>\n",
       "      <td>0.014781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9</td>\n",
       "      <td>81</td>\n",
       "      <td>2.197225</td>\n",
       "      <td>0.217726</td>\n",
       "      <td>0.042412</td>\n",
       "      <td>0.011960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>10</td>\n",
       "      <td>100</td>\n",
       "      <td>2.302585</td>\n",
       "      <td>0.202786</td>\n",
       "      <td>0.037674</td>\n",
       "      <td>0.009529</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11</td>\n",
       "      <td>121</td>\n",
       "      <td>2.397895</td>\n",
       "      <td>0.190026</td>\n",
       "      <td>0.034361</td>\n",
       "      <td>0.007414</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>12</td>\n",
       "      <td>144</td>\n",
       "      <td>2.484907</td>\n",
       "      <td>0.178925</td>\n",
       "      <td>0.032107</td>\n",
       "      <td>0.005599</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     x   x2      logx   pred_29   pred_49   pred_99\n",
       "0    1    1  0.000000  0.999502  1.003844  0.992027\n",
       "1    2    4  0.693147  0.608619  0.378064  0.163419\n",
       "2    3    9  1.098612  0.458101  0.208259  0.069098\n",
       "3    4   16  1.386294  0.375765  0.135129  0.041513\n",
       "4    5   25  1.609438  0.322898  0.096500  0.029441\n",
       "5    6   36  1.791759  0.285608  0.073590  0.022695\n",
       "6    7   49  1.945910  0.257606  0.058968  0.018197\n",
       "7    8   64  2.079442  0.235610  0.049174  0.014781\n",
       "8    9   81  2.197225  0.217726  0.042412  0.011960\n",
       "9   10  100  2.302585  0.202786  0.037674  0.009529\n",
       "10  11  121  2.397895  0.190026  0.034361  0.007414\n",
       "11  12  144  2.484907  0.178925  0.032107  0.005599"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# make prediction\n",
    "x = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])\n",
    "x2 = x ** 2\n",
    "logx = np.log(x)\n",
    "\n",
    "pred = pd.DataFrame({'x': x, 'x2': x2, 'logx': logx}, columns=['x', 'x2', 'logx'])\n",
    "pred['pred_29'] = np.exp(model_29.predict(pred[['x', 'x2', 'logx']]))\n",
    "pred['pred_49'] = np.exp(model_49.predict(pred[['x', 'x2', 'logx']]))\n",
    "pred['pred_99'] = np.exp(model_99.predict(pred[['x', 'x2', 'logx']]))\n",
    "\n",
    "pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RUVGoZh7XiIqKIjY21qRswIABLFq0yOxnOXHiBL169cLFxQV3d3fm/byZWVlZ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\niIiIiIi0kP8fO78awSUXdCIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualization\n",
    "fig, ax = plt.subplots(figsize=(12, 6))\n",
    "ax.plot(features['x'], features['y_29'], 'r:', label='Monthly cost 29 true')\n",
    "ax.plot(pred['x'], pred['pred_29'], 'r-', label='Monthly cost 29 prediction')\n",
    "ax.plot(features['x'], features['y_49'], 'k:', label='Monthly cost 49 true')\n",
    "ax.plot(pred['x'], pred['pred_49'], 'k-', label='Monthly cost 49 prediction')\n",
    "ax.plot(features['x'], features['y_99'], 'g:', label='Monthly cost 99 true')\n",
    "ax.plot(pred['x'], pred['pred_99'], 'g-', label='Monthly cost 99 prediction')\n",
    "ax.set_xlabel('Billing Cycle', fontsize=12)\n",
    "ax.set_ylabel('Retention Rate', fontsize=12)\n",
    "ax.legend(fontsize=12)\n",
    "ax.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that, our model works pretty good."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Question 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Influence of `Country`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>country</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>China</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.514831</td>\n",
       "      <td>0.402777</td>\n",
       "      <td>0.360426</td>\n",
       "      <td>0.336274</td>\n",
       "      <td>0.319856</td>\n",
       "      <td>0.307084</td>\n",
       "      <td>0.295453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>France</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.334946</td>\n",
       "      <td>0.177732</td>\n",
       "      <td>0.119004</td>\n",
       "      <td>0.088479</td>\n",
       "      <td>0.069935</td>\n",
       "      <td>0.058341</td>\n",
       "      <td>0.049688</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Germany</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.451284</td>\n",
       "      <td>0.278411</td>\n",
       "      <td>0.195910</td>\n",
       "      <td>0.146474</td>\n",
       "      <td>0.115151</td>\n",
       "      <td>0.093868</td>\n",
       "      <td>0.078465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>India</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.446728</td>\n",
       "      <td>0.326962</td>\n",
       "      <td>0.284527</td>\n",
       "      <td>0.261603</td>\n",
       "      <td>0.246736</td>\n",
       "      <td>0.234847</td>\n",
       "      <td>0.225769</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Italy</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.341684</td>\n",
       "      <td>0.179502</td>\n",
       "      <td>0.119914</td>\n",
       "      <td>0.090015</td>\n",
       "      <td>0.071135</td>\n",
       "      <td>0.057523</td>\n",
       "      <td>0.048695</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Spain</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.339098</td>\n",
       "      <td>0.178985</td>\n",
       "      <td>0.119879</td>\n",
       "      <td>0.088648</td>\n",
       "      <td>0.070065</td>\n",
       "      <td>0.057617</td>\n",
       "      <td>0.048503</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>UK</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.458938</td>\n",
       "      <td>0.285133</td>\n",
       "      <td>0.198067</td>\n",
       "      <td>0.149421</td>\n",
       "      <td>0.117356</td>\n",
       "      <td>0.095735</td>\n",
       "      <td>0.079494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.456509</td>\n",
       "      <td>0.284255</td>\n",
       "      <td>0.198853</td>\n",
       "      <td>0.149284</td>\n",
       "      <td>0.117398</td>\n",
       "      <td>0.094875</td>\n",
       "      <td>0.078981</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           1         2         3         4         5         6         7  \\\n",
       "country                                                                    \n",
       "China    1.0  0.514831  0.402777  0.360426  0.336274  0.319856  0.307084   \n",
       "France   1.0  0.334946  0.177732  0.119004  0.088479  0.069935  0.058341   \n",
       "Germany  1.0  0.451284  0.278411  0.195910  0.146474  0.115151  0.093868   \n",
       "India    1.0  0.446728  0.326962  0.284527  0.261603  0.246736  0.234847   \n",
       "Italy    1.0  0.341684  0.179502  0.119914  0.090015  0.071135  0.057523   \n",
       "Spain    1.0  0.339098  0.178985  0.119879  0.088648  0.070065  0.057617   \n",
       "UK       1.0  0.458938  0.285133  0.198067  0.149421  0.117356  0.095735   \n",
       "US       1.0  0.456509  0.284255  0.198853  0.149284  0.117398  0.094875   \n",
       "\n",
       "                8  \n",
       "country            \n",
       "China    0.295453  \n",
       "France   0.049688  \n",
       "Germany  0.078465  \n",
       "India    0.225769  \n",
       "Italy    0.048695  \n",
       "Spain    0.048503  \n",
       "UK       0.079494  \n",
       "US       0.078981  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# calculate the retention rate for each montly cost\n",
    "grouped = data.groupby('country').apply(retention_rate)\n",
    "grouped"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2jiciIiIiIvLX/dWdD283+f32kQtUrQMD519dpivUpEmTP32IZ1BQUIm2p556ig8//JDx\n48fTpk0bvL292bdvH3fffTe5ubk2Y2vUKPm9z83NzWbciRMnSrwJ5XxpaWkAPPTQQzz00EMl+uvV\nq3fRYx2ZChgOqHn0zSxfOJ+qOQWku8FAp928ssCXWSPaYRiGveOJiIiIiIiUr84vnH3mRUHOH20u\nHmfbHUxp39lmzpzJoEGDGDduXHHbhQ/wvBK+vr5/+hwLX19fAP7973/b3LpyTkV9M4oKGA6oaf+B\nrFySQMbxffh6hpPnnE1S6nEW/HqEnjeWrOaJiIiIiIhUajfec/a/P/wDTh6AqrXPFi/OtTu4nJwc\nXFxcbNo+//zzvzxfXFwcc+fOJS0tjYCAgBL9jRo1ok6dOmzbto0xY8b85fM4GhUwHJDF1Z16oSHs\n2J1EnYJQtrnCENdU/r3Ym66NauLqrEeXiIiIiIjIdebGeypMweJC3bp147PPPqNRo0bUr1+fr7/+\nmg0bNvzl+f75z3+yaNEi2rZty9ixYwkPD2f//v0sWLCAGTNmYLFYmDhxInfeeSe5ubncfffd+Pr6\ncuTIEdauXUu9evUYNWrUNbzC8qFvwg4qeuD9gIUzZ05RI98FgyyOHD/D9PX77B1NRERERERErsAH\nH3xAz549GTt2LP369SM3N5fp06f/5fnq1avH+vXradGiBU8//TTdu3dn/Pjx+Pv7F4+5/fbbWbFi\nBadOnWLw4MF069aNZ555hrS0NFq3bn0tLqvcaQeGg6oeeRPVvAM4cWIfYd6ebHF1ZrjHAd77wZU7\nm9emqofLpScRERERERGRayI+Pp74+PiL9nfp0gXTNEvt8/f356uvvirRfuH4adOmlXr8+a9pPSc8\nPJwvv/zSpi0rK8vmc/v27Zk/v3wfclqWtAPDgbWMbQlmHs4eXlQvcMEsyiQ7O58PE3bZO5qIiIiI\niIhIuVIBw4HdcO9AnJ282LsrmZD8LE5ZcnnM5yifrdnDwcycS08gIiIiIiIiUkmogOHADGdXwuuF\nUpB/jDrNbqZqgQsFucdwNk3eXJxs73giIiIiIiIi5UYFDAcXPfABwInfVicSmnuSk5ZcRlU/zuyf\nD/LbwZP2jiciIiIiIiJSLlTAcHA+9ZvgWzWA48f30KzvHfgUupB76hC+bs5MWLj9og+JERERERER\nEalMVMCoAFp1bg0UsG35OuqeziTDksOjvhms3pnOipRj9o4nIiIiIiIiUuZUwKgAGt71EC7O3uzc\ntoVWD92Jd6Ezp46lElbdg1cXbKfIql0YIiIiIiIiUrmpgFEBGM4uRIaHUlhwnBMHT1P3VCYnLNkM\nr36S5KNZfLvpgL0jioiIiIiIiJQpFTAqiOhBDwJO/Dh/Pi3734ZXkTNpB3bQrJYPb36fTHZ+ob0j\nioiIiIiIiJQZFTAqiCqhjfCvFkDGiX34hDShbkYGxy3ZDK6WxdFTeXy6ao+9I4qIiIiIiIiUGRUw\nKpA23doDBaz89HNa9O2CZ5Ez+3ZspVuUPx+t2EX66Tx7RxQREREREanUEhMTuffee6lduzaurq74\n+PjQsmVLnn/+eQ4fPmzveJWaChgVSMTtA3B19mH39l8Jie5G2IkMjlnO0M8ri9xCK+8u3WHviCIi\nIiIiIpXWm2++Sfv27Tl27Bgvv/wyS5cuZebMmXTr1o3JkyczaNAge0es1FTAqEAMZxeiokIpKjzB\nz/9bQtOe7fAocmL7ls30b1mH/25IZdex0/aOKSIiIiIiUuksX76cMWPGMGrUKH744Qfi4+OJiYmh\nR48evPzyy+zevZt+/fpd9Xny8rSz/mJUwKhgOgwaBLjw06KFhN96J/XTM0mznOZWp0zcnS28tnC7\nvSOKiIiIiIhcc/N3zyfumzhunHojcd/EMX/3/HI9/2uvvYafnx+vvfZaqf1VqlQhPj6++HN2djZP\nP/00YWFhuLq6EhYWxr/+9S+sVmvxmISEBAzDYNasWQwdOhR/f39q1qwJwPjx4zEMg+3bt9OtWzeq\nVKlCSEgIn3/+OQBffPEFUVFReHl50bFjR3bt2mWTZ+bMmXTq1Al/f3+8vLxo1qwZU6dOLZHbMAye\ne+453nvvPcLCwvD29uaWW25h69atxWMeffRRatasSUFBgc2xp0+fxtvbm7Fjx17ZL/MvUgGjgvGo\nFUHNGv6czNzLif1HaRzXFHerE1t+3MDwmHos2XaUDXtO2DumiIiIiIjINTN/93zGrx3P4TOHMTE5\nfOYw49eOL7ciRmFhIStWrKBr1664urpe1vhu3brxySefMGrUKBYuXMiQIUP45z//yZgxY0qMf+yx\nxzBNky+++IIpU6bY9N1999307NmTOXPmcPPNNzNo0CDGjRvHhx9+yIQJE/j8889JTk6mf//+Nsft\n3r2bvn37Mn36dObMmUOvXr0YMmQIH330UYnzT5s2jfnz5/Puu+/y+eefk5qayh133EFh4dm3XT7y\nyCOkpaUxe/Zsm+OmT5/OmTNnGDp06CV/J9eCc7mcRa6ptj2imTPtS1Z+OoXeLz7Fb4vHsDWwiDus\nmUzzceOVBUnMfqQdhmHYO6qIiIiIiEix1za8xvYTV75rfMuxLeRb823acotyeWHNC3yT8s0VzRVV\nI4qnWz19RcccP36c3NxcQkJCSvSd+5J/jrOzMzNmzGD16tWsWLGCmJgYADp37gzASy+9xNNPP01A\nQEDxMa1ateKTTz4p9dxjxozhwQcfBKBFixbMmzePSZMmsWfPHnx8fAA4fPgwo0aNIjU1lcaNGwMw\nbty44jmsViuxsbEcPnyYDz/8kOHDh9ucw8XFhe+++w4XF5fitrvvvpsNGzbQrl07GjVqxC233MKk\nSZO45557isdMmjSJuLg46tWrd4nf4LWhHRgVUP0e9+HmUpV9O37DajWJimmAm9WJDWtW82SXSH7e\nn8mCX4/YO6aIiIiIiMg1cWHx4lLt15ppmqW2HzlyBBcXF5ufwsJCFi1aRGhoKO3ataOwsLD4Jy4u\njoKCAtatW2czT58+fS567ltvvbX4z9WrVycgIIA2bdoUFy8AoqKiADh48GBx244dO7jvvvuoVatW\ncbZPPvmE5OTkEufo2rWrTfHihhtuACA1NbW47ZFHHmH58uXs2HH25REbN25k8+bNDBs27KLZrzXt\nwKiInJxp1CiUzb9sYdOshbTsN5ikkU+xLbCIDmfSiQr05t+Lt9O1UU1cnVWjEhERERERx3ClOx/O\nifsmjsNnSr6iNKhKEJ93//xqY12Sn58f7u7uNl/oz7Vv3LgRgMmTJ/Pxxx8DkJaWxr59+2yKAuc7\nfvy4zeegoKCLnrt69eo2n11dXUttA8jNzQXOPpuia9eueHp6MmHCBOrXr4+rqysffvghn332WYlz\n1KhRw+azm5ubzXxwtsgSGBjIpEmTeOONN/joo48IDg6mV69eF81+renbbQXVfuBgDMOFn79fguHk\nRGSrEFytTqxdsZJnujdg3/Fspq3bZ++YIiIiIiIiV21U81G4O7nbtLk7uTOq+ahyOb+zszMxMTF8\n//335Ofn27S3aNGCFi1aEBwcXNzu6+tLWFgYGzduLPXnwi/91/r2/8TERPbt28fkyZN54IEHaNeu\nHS1atChxu8uVcHFxYciQIUyZMoW0tDRmzpzJ4MGDcXYuv30RKmBUUG5B9Qn09Sfr1D7Sdh3kpvtH\nEJ52koNkEpx+lA7hfry3bAcncwouPZmIiIiIiIgD61mvJ+PbjSeoShAGBkFVghjfbjw96/UstwxP\nPfUU6enpPP30pXeRdO/enf379+Pl5VVc4Dj/x8/Pr0yzZmdnA9jsAMnIyGDu3LlXNe+wYcM4efIk\nd999N3l5eeX28M5zVMCowNr3ugUoYuXnUzFcXal3QwAuVgsrly7nme4NOJlTwAcJO+0dU0RERERE\n5Kr1rNeTJX2XsOWhLSzpu6Rcixdw9iGcEyZM4N1336Vz585MnTqVlStXsmTJEiZOnMjMmTOpUqUK\nhmEwYMAA2rVrR+fOnXnrrbf44YcfWLhwIRMnTiQuLq64wFBW2rVrh4+PDyNHjmT+/Pl89dVX3HLL\nLVddOKlVqxa9evVi5cqV9OjRgzp16lyjxJdHBYwKLDTuXjxcq7J/91YKC4poPvhxwtOyOEAGVQ4c\npk/TWny+Zi8HMsr2L4eIiIiIiMj14KmnnmLVqlX4+voybtw4unTpQt++fZk6dSr9+vVjx44dODk5\n4eLiwuLFixk6dCiTJ0+mR48eDBgwgKlTp9KuXbvLehXr1fD392f27NkUFRXRt29fxo4dy5AhQ7j/\n/vuveu67774boFwf3nmOHuJZkVmcaNIkjI0//cyGL+fR7v7ehEV6s+MkLF/8PaMfH8J3vx7mrSUp\nvNWvqb3TioiIiIiIVHjt27enffv2lxzn7u7O+PHjGT9+/EXHxMbGXvQNJxc7du/evRedJysrq7it\nU6dObN68udR5z1fa+evWrXvRXN999x2hoaE2b0cpL9qBUcG1GTgYw3Bly/KlANz88GjC006Taj1B\n0c6DDGofxuyfD/LbwZN2TioiIiIiIiIV1bp16/joo4/48ssvGT16NBZL+ZcTVMCo4FwDwqjl78eZ\n06kc2r4PJy8vQkJccMbCsoWLeKRjfap5uPDqwqSLVtBERERERERE/kzbtm0ZM2YMDz30EI888ohd\nMqiAUQl06N0ZsLJ66hcAtHrkKeqnnSa16DintqXyeOcI1uw8TkLKMfsGFRERERERkQrp3C0qn376\nabm+OvV8KmBUArU69sXTrRoH9m6lILcA56pVqV2zCAsGP8xfxIDWoYT6ejJhwXaKrNqFISIiIiIi\nIhWPChiVgcWJm24Kw7RmsW7G2ff6tnlsHPWPZbO3MJ3jW1N5qlsUyUez+GbTfjuHFREREREREbly\nKmBUEi0fGoJhuPHbquUAuPj6UtsnGwNY+t1CetwQSLOQary5JIXs/EL7hhURERERERG5QipgVBIu\nfqHUCfAj+0wq+7fsAqD138ZRPz2XPflppG3dz7M9GpKWlcenq/bYOa2IiIiIiIjIlVEBoxKJvqsr\nYLJm2nQA3AKDqOWeAcDS/y2kRd0adGtck49W7OJYVp4dk4qIiIiIiIhcGRUwKpHA6Dvxcq/Gof3b\nyM0+W6BoPeoZ6h3PY1feEdKTDvJ09yhyC628+0OKndOKiIiIiIiIXD4VMCoTi4WmzethWk+zbvps\nADxC6hLMUUxMlsxdQD1/L/q3CmHGhv3sTDtt58AiIiIiIiIil0cFjErm5gcexmJxZ+uaFcVtrf/2\nNPVOFLAr5zDHU44wqksEHi5OvLZoux2TioiIiIiIVBxTpkzBMAx27tx5TeaLjY0lNja2+HNCQgKG\nYZCQkHBN5q+MVMCoZJxr1Ca0pi+5OQfYsykZgCrhkQTnH8CKlaWz5+Pn5cbwW+rx/bajbNhzws6J\nRUREREREpHnz5iQmJtK8eXN7R3FYKmBUQtH3dAdM1v53RnFby8efpG5GITuyD5Kx6yiDO9Qj0Med\nfy1IwjRN+4UVERERERERfHx8aNOmDT4+PvaO4rBUwKiE/NvcgY9HNY4eTCI7KxcAn8Y3Enx6N4VY\nWTp7AR6uToyOi+SX/ZnM//WwnROLiIiIiIj8uZPz5rGjU2eSGjZiR6fOnJw3z655YmNj6dChA0uX\nLqV58+Z4enrSpEkT5syZU2LszJkziYqKws3NjcaNGzN79uwSY0q7hWTJkiX06NGDoKCg4vnffPNN\nioqKyvLSHJYKGJWRxULzFvUxzTOs/eKb4uYWI0dRN7OQlKwDnNybzl3NaxMV6M2/FyWTV3h9/gUQ\nERERERHHd3LePA4//wKFhw6BaVJ46BCHn3/B7kWMXbt2MWrUKEaPHs2sWbMICgqib9++Ns/JWLp0\nKf379yciIoJZs2YxZswYRo0aRXJy8iXn3717N507d+azzz5j/vz5PPTQQ4wfP55nn322LC/LYTnb\nO4CUjWYPDGfVmsfYvn41nUcMwDAMqt/cmtrvvsXe6g1Z+u0C7nryQcb2aMhDn21g2rpUBncIs3ds\nERERERGpxI688gp5SVf+MoGcX37BzM+3aTNzczn87HNkfvX1Fc3l1jCKwHHjrjhDadLT01m5ciUR\nERHA2edYBAUF8dVXXzHu93O8+OKLREVFMXfuXCyWs3sIGjZsSJs2bWjQoMGfzj98+PDiP5umSXR0\nNPn5+bzxxhu88sorxfNdL67/deI1AAAgAElEQVSvq72OWKoGERbsS17uAXau21rc3nTYI4RkFrH9\n1D5OpR4nJsKPDuF+vL9sBydzCuyYWEREREREpHQXFi8u1V5eIiIiiosXAAEBAQQEBJCamgpAUVER\nGzdupG/fvjbFhtatW1O3bt1Lzn/48GGGDRtGaGgorq6uuLi48Nxzz5GZmUlaWto1vx5Hpx0YlVj0\n3T3Y+fYnrPvySyLaNgHAt10MIf83kdRqjfnh24X0eeJ+xvaI4rb3V/PB8p2M7dHQzqlFRERERKSy\n+qs7H3Z06nz29pELOAcHE/rFf6421l9Wo0aNEm1ubm7k5p59FmF6ejoFBQXUrFmzxLjS2s5ntVq5\n/fbbOXToEOPHjycqKgoPDw/mzJnDv/71r+JzXE+0A6MSq9GqF9U8q5J2ZDtnMrMBMAyDGwYPovZJ\nK0mZezl9IIPGwVXp06wWn6/dy4GMbDunFhERERERsRXwxN8w3N1t2gx3dwKe+JudEl0ePz8/XFxc\nOHr0aIm+0trOt2vXLn788Udee+01hg4dSnR0NC1atMDJyams4jo8FTAqM4uFm1tHgJnD6v98Vdwc\n0Kk7dQ9uJd8oZNm3iwD4e1wDDODNJSl2CisiIiIiIlK6qr16EfTPf+AcHAyGgXNwMEH//AdVe/Wy\nd7Q/5eTkRMuWLfnmm2+wWq3F7evXr2fv3r1/emx29tl/XHZxcSluKygoYPr06WWStSLQLSSV3I39\nh5Ow4jdSflxLnPkQhmFgGAaNHhrAnmW/sNXcRedDmQQHV2NQhzA+TNjF4A5hNKlV1d7RRURERERE\nilXt1cvhCxaleemll4iLi6N3794MGzaMY8eO8eKLLxIYGPinxzVs2JDQ0FCeffZZnJyccHFx4e23\n3y6n1I5JOzAqOYtPTcJr+5Kfd4jtq7YUtwfd2pu6e7eQZxSS8O1iAEbE1qe6pwuvLEjCNE17RRYR\nEREREak0unTpwvTp00lOTubOO+/k9ddf55133rnkG0hcXV2ZM2cOgYGBPPjgg4wcOZKYmBieeeaZ\nckrueLQD4zoQ3e82kl+fxPpvvqJhzE0AGBYLUff1Zfe6FH41d9LpyCl8An14vHMEL83bRkLyMTpG\nBdg5uYiIiIiIiGOIj48nPj6++HNCQkKp40q7NeS+++7jvvvus2nr06ePzefY2NgS/5DctGlTVq9e\nXWK+IUOGXF7oSkY7MK4DVW/uSfUqVTmelsyp46eL22v37kfYri3kGgUkzFoCwIDWodT19eTVhUkU\nFlkvNqWIiIiIiIhIuVIB43pgGLRqFwlmLqunfPlHs7MzkXf1JPAMbDmaQk5aFq7OFp7qHkXK0dN8\ns+mAHUOLiIiIiIiI/EEFjOtE437DcXbyYOfP6zCtf2xLCr3nQeqn/EyOkc+qWUsBuLVJIM1DqvHW\n9ylk5xfaK7KIiIiIiIhIMRUwrhOGdwARITUoyD/Mr8s2/dHu6krYbZ0IyIafD28nN/0MhmHwbM+G\npGXl8cmqPXZMLSIiIiIiInKWChjXkej7+gAWfpzzrU17vQceJjx5C9lGHmtm/QDAzaE16N44kEkr\ndnEsK88OaUVERERERET+oALGdcT7xm74efmQkZ5CxtGTxe0Wd3dCu7TGL8fgp4NbyT+RDcBT3RuQ\nV2jlnaUp9oosIiIiIiIiAqiAcX0xDFpFR4GZZ/MwT4DwgY8SmbSFM0Yea2ctA6Cevxf9W4cwc+N+\ndqadLm1GERERERERkXKhAsZ1JqrvcFycPNn963qs570m1cmrCnWib8Q3x+DH/b+Rn5EDwKjOEXi4\nODFh4XZ7RRYRERERERFRAeN6Y3j5EVW3BoUFR/ll8Qabvsiho4jc/iunjVzWz04AwNfLjRGx9Vma\ndJT1u4/bIbGIiIiIiIiIChjXpQ797wQsbPputk27U7Vq1G4RQfVcg437tlBwMheAQe3DCPRx55WF\n2zFNs5QZRURERERERMqWChjXIc/GXQnw9uHk8R2kHzhh09fgkb/TIGkrp4wcNsxZCYCHqxNPxkXy\ny/5Mvtty2B6RRURERERE7GrKlCkYhsHOnTsBeOedd5g1a9Zfni8+Pp66deteo3TXBxUwrkeGQdvY\nxkA+q6fOtOly9vUluEktquZZ2LD7ZwpOnd2FcWfz2kQFevPvxdvJKyyyQ2gRERERERHHcbUFDLly\nKmBcp+r3eRg3Z0/2bttIUaHVpq/hY0/TcNtWThrZbJq7BgAni8HYHg3ZfyKHLxL32SOyiIiIiIiI\nXMdUwLhOGVV8aVivBkWFx/jpuzU2fS6BgQSGV8cn38L6nT9ReDofgFsi/YmO8OP9ZTs5mV1gj9gi\nIiIiInKdSll/hKnj1vB/w5cxddwaUtYfsVuWunXrsm/fPqZPn45hGBiGQXx8PAA7d+7kgQceICws\nDA8PD+rVq8eIESPIyMi46Hx5eXn4+/vzxBNPlOg7d+vK9u16M6QKGNex9v3vBpzYvHBeib6Go8bR\nMGkbGcYZNv9vbXH72Fsbciq3gA8SdpZjUhERERERuZ6lrD/C8unbOX0iD4DTJ/JYPn273YoYs2fP\nJjAwkG7dupGYmEhiYiLPP/88AIcOHaJ27dq88847LF68mBdeeIEffviBHj16XHQ+Nzc3Bg4cyNSp\nU8nNzbXpmzRpErfccgtRUVFlek0VgbO9A4j9uEd1IrDq5xzJ3MHRPceoGeZf3OcWEkLNWh54F1hI\nTP6R5mfa4VTFlUbBPtzZrDafr93LA21DqV3d045XICIiIiIiFcmqr1JI33/6io87uuckRYW2b0Qs\nzLey7Isktq4+dEVz+dXxIvqeyCvOcL5mzZrh5uaGn58fbdq0semLiYkhJiam+HO7du0IDw8nOjqa\nzZs306xZs1LnHDFiBG+++SZff/01DzzwAABbtmxh3bp1zJgx46ryVhbagXE9MwzadboBKGD1f2aW\n6G40ahwNk5I5YZzm53nritufjIvEAN5YnFx+WUVERERE5Lp1YfHiUu32lJ+fzyuvvEJUVBQeHh64\nuLgQHR0NQHLyxb9DhYWF0a1bNyZNmlTcNmnSJPz9/bnzzjvLPHdFoB0Y17m6vYbg/t1PpCb/SEFe\nIS5ufywJ94gIAmpY8SqwkJi0kaY5bXHycCG4mgeDOoTxYcIuBneoxw21q9rxCkREREREpKL4qzsf\npo5bU3z7yPm8arjR58nmVxvrmho7dizvv/8+L7zwAu3atcPb25sDBw5w5513lrg95EKPPPIIvXr1\n4rfffiMsLIxp06YxfPhwXF1dyym9Y9MOjOucUcWXxuE1sBYdZ9P/Vpbob/TEczTcvoN0I4tfv1tf\n3D4itj41qrjyyoIkTNPxqp4iIiIiIlJ5tL2jPs6utl9fnV0ttL2jvp0SXdzMmTN58MEHee655+jU\nqRMtW7akWrVql3Vsjx49qFu3LpMmTWLGjBlkZWXx8MMPl3HiikMFDKHtff0wDGd+XrKgRJ9n48YE\neGbjWWhhzW8bKMo5+/YRH3cXHu8UTuLu4yxPTivvyCIiIiIich2JbB1IxwFReNVwA87uvOg4IIrI\n1oF2y+Tm5kZOTk6J9uzsbFxcXGzaPv/888ua02KxMGzYML744gsmTpxIly5dqF/f8Yo09qJbSAS3\nyFsIrvoxBzN3cDDlCLUibf9PoOET4zj66nv82DiMrQt/5MY72wLQv3UoU9bu5dUF24mJ8MfZSfUw\nEREREREpG5GtA+1asLhQo0aNWLVqFd999x2BgYH4+flRt25dunfvztSpU7nhhhsIDw9n1qxZrF27\n9tIT/m7w4MGMHz+eX375hW+//bYMr6Di0TdOAcOgfZemQBFrppV8mKdX85sJsJzAo8jCml/WY80r\nAsDV2cLT3aPYkXaabzYdKOfQIiIiIiIi9vPqq6/SoEED7rnnHlq2bMn48eMBeP/997n99tt59tln\n6devH1lZWVf0FhF/f39uueUWgoKCuP3228sofcVUbjswDMPoDrwLOAGfmKY54YL+EGAqUO33Mc+Y\nplnyngYpE3VuG4Ln3B85uHMTeTkFuHnYbnmKGvUMR979hJ8ahpK0cBONe7cCoHuTQJqHVOOt71O4\nvWkwnq7a1CMiIiIiIpVPfHw88fHxxZ+joqJYtWpViXF+fn7MnFnyH4YvfHbglClTSj1PRkYGa9eu\n5W9/+xvOzvp+db5y2YFhGIYT8H/ArUAj4D7DMBpdMOw54CvTNJsB9wIflEc2+Z1HdW6IrIG1KION\ns5eX6PZu247AvMO4F1lY/XMi1vyzuzAMw+DZng1Jy8rj45V7yju1iIiIiIhIpXDs2DFWr17Nww8/\njNVq5ZFHHrF3JIdTXreQtAJ2mqa52zTNfGAmcMcFY0zA5/c/VwUOlVM2+V2r/v0xDGd+XbawRJ9h\nGEQ+PoaGO/dxmAySF20u7rs5tAbdGwcyaeUu0rL+/LVAIiIiIiIiUtL8+fOJjo5mw4YNTJ06laCg\nIHtHcjhGebwC0zCMvkB30zSH/P75AaC1aZqPnjcmCFgCVAeqAF1M09xUylwPAw8D1KxZ8+bStuY4\nutOnT+Pl5WXvGCWZJodnTOLQyRwiez+Md1CVEv2Wfz3PmrZx+Fqq0iDmJkyns11Hzlh5dnUO0bWd\niW/sVv7ZKzCHXQ9iF1oPcj6tBzlHa0HOp/Ug53PU9VC1alXCw8PtHeO6U1RUhJOTk71jlLBz505O\nnjx50f6OHTtuMk2zxaXmKa8baoxS2i6snNwHTDFN803DMNoCXxiG0cQ0TavNQaY5GZgM0KJFCzM2\nNrYs8paphIQEHDX3oZObmTFjGad/206v+54s0X885xlOTJ/LzxFWYnOrEtmzWXFfUuFvTFufynN3\n30x4gHd5xq7QHHk9SPnTepDzaT3IOVoLcj6tBzmfo66HpKQkvL31naC8ZWVlOeTv3d3dnWbNml16\n4CWU1y0kB4A6532uTclbRAYDXwGYppkIuAN+5ZJOigV3G0QV1yoc3r2Z3OyCEv01uvcg+FgKrlYL\nKzeuwSz4o770eOcIPF2cmLAwuTwji4iIiIiIyHWgvAoYG4EIwzDCDMNw5exDOv93wZhUoDOAYRgN\nOVvAOFZO+eQcj2o0bVgD05rJuq+/L9FtWCzUHf4oUbsPcoB0di/7rbjP18uN4bH1WZp0lPW7j5dn\nahEREREREankyqWAYZpmIfAosBhI4uzbRrYahvEPwzDOvdj2SWCoYRi/ADOAeLM8HtAhJdx87wNY\nDBe2rlhS4lU/AP6396H2wa24WC2sWLcKs/CPXRiDO4QRVNWdVxYkYbXqfz4RERERERG5NsprBwam\naS4wTTPSNM36pmn+6/e2F0zT/N/vf95mmmZ70zRvMk2zqWmaS8orm9hyCWtLSA1Pcs/sZs8vqSX6\nDWdnQoY+TIO9h0k1j7Fn2bbiPncXJ0Z3jeSXAyf57tfD5RlbREREREREKrFyK2BIBWIYtL+1BWAl\nccaXpQ4J6HsvIXt/xtlqsDJxpc0ujDub1yYq0Jt/L9pOXmFROYUWERERERGRykwFDClVYNdBeLtV\n4Wjqz+ScyivRb3F1pVb8QBqkprHXmsa+FUnFfU4Wg3E9GnIgI4cvEveVZ2wRERERERGppFTAkNK5\nV6VZ4xqY1lOs/WpxqUOC7nuA0B0/4ozByjWrMIv+2IURE+lPdIQf7y/byclS3mYiIiIiIiJSkcyZ\nM4eYmBgCAgLw8PAgNDSU3r17s2jRojI7Z0JCAoZhkJCQUGbnqEhUwJCLatYvHovhQtLqpaU+zNPi\n4UHQgP5EpB5jd9ERDqxKsekf16Mhp3IL+L+EneUVWURERERE5Jp777336NOnDxEREXz66afMnz+f\n5557DoBly5aV2XmbN29OYmIizZs3L7NzVCTO9g4gjss5tBVhfh7sOraHHRt2Edk6vMSY4AcHE/af\njqSE3MaKVSsZEN0Aw8kAoGGQD3c1r82UNXt5oE0odWp4lvcliIiIiIiIXLU33niD3r178+mnnxa3\nderUiaFDh2K1Wv/kyKvj4+NDmzZtymz+ikY7MOTiDIMOPdsAJuu+/qbUIU5eXgTc3ZeIA8fZVXiY\ng2t22PQ/GReJYcAbS5LLIbCIiIiIiFRWSauWM3nkQN68txeTRw4kadXycjv3iRMnCAwMLLXPYvnj\na/WUKVMwDIOVK1fSu3dvvLy88PX1ZeTIkeTk5Ngc9+KLL9K8eXOqVq2Kn58fnTp1Yt26dTZjSruF\nJDY2lg4dOrB06VKaN2+Op6cnTZo0Yc6cOdfugh2UChjyp/w6xuPj5kn6wV/IysgudUztQQ9T79dE\nDGDlihWY1j9uNwmq6sHgDmHM/fkQWw5kllNqERERERGpTJJWLWfJ5IlkpR8D0yQr/RhLJk8styJG\nq1atmDp1Kq+//jopKSmXHH///fcTHh7OrFmzeOKJJ/j4448ZMWKEzZiDBw/yxBNPMGfOHKZMmUJA\nQAAxMTFs2bLlkvPv2rWLUaNGMXr0aGbNmkVQUBB9+/Zl165df/kaKwLdQiJ/zt2HFjf6sWxjKmtn\nLqLbiDtLDHGuXh2/O3oSvjeDHcFwJHEXQe3/uN1keGx9Zm7czysLkpgxtA2GYZTnFYiIiIiIiINY\nPmUyaft2X/Fxh1OSKSq0fTlAYX4eiz96jy3LSn/pwMUEhNajY/zDV3TMRx99RN++fXnqqad46qmn\n8PX1pWvXrgwcOJC4uLgS43v06MEbb7wBQFxcHIZh8MILLzBu3DgiIyMB+OSTT4rHFxUV0b17dxo3\nbsynn37Ku++++6d50tPTWblyJREREcDZZ2UEBQUxe/ZsmjZtekXXVpFoB4Zc0o33DMTJ4krKumVY\nrSUf5gkQ8vBIwn9egwGsWG67C8PH3YVRnSNYt/sEy5PTyim1iIiIiIhUFhcWLy7Vfq1FRkayefNm\nVqxYwbPPPkvTpk2ZPXs23bp14+WXXy4x/p577rH5fO+992K1WtmwYUNx29KlS+nYsSO+vr44Ozvj\n4uJCSkoKycmXvv0+IiKiuHgBEBAQQEBAAAcOHLiKq3R82oEhl+QU0pJ6/u7sOLqX7WuSaRQdVWKM\ns78/Nbp3pt6RTFIC4ej6PQS2rVfc3791CFPW7uXVBduJifDH2Um1MxERERGR682V7nw4Z/LIgWdv\nH7mAt58//V6ccLWxLouTkxMxMTHExMQAcOjQIbp3785LL73EyJEjqV69evHYmjVr2hx77vPBgwcB\n+Omnn+jRowfdunXj008/JSgoCCcnJ4YMGUJubu4ls9SoUaNEm5ub22UdW5HpW6Rcluhe7QDYMOvb\ni44JHfE4kT+txsRk5TLbXRguThae7t6AHWmn+XpT5a4KioiIiIjItRV974M4u7rZtDm7uhF974N2\nSgTBwcEMGTKEwsJCduywfZnB0aNHS/1cq1YtAL799lucnZ2ZNWsWvXv3pnXr1rRo0YKMjIzyCV9B\nqYAhl6V6zENU8/Dk+OEtnDx2utQxLsHBVO3YjrC0LJLz95P24z6b/m6NA7k5tDpvfZ/CmbzC8ogt\nIiIiIiKVQMPojsQ9/Cjefv5gGHj7+RP38KM0jO5YLuffv39/qe3bt28HKPGGkq+++srm88yZM7FY\nLLRq1QqA7OxsnJycbJ4PuGzZMlJTU69l7EpHt5DI5XHzptVN/ixZt481MxfQ47F7Sh0WNnI0mXf1\nZU/PnqxauoK7WoRiWM7+pTQMg3E9orjrw0Q+XrWbv3WJLM8rEBERERGRCqxhdMdyK1hcqEmTJnTs\n2JE+ffoQFhbGqVOnWLBgAR999BH33HMPISEhNuMXLFjAmDFjiIuLY8OGDbz00ks8+OCDxQ/w7N69\nO++88w7x8fEMHDiQlJQU/vnPfxbv0JDSaQeGXLbGfQfhbHFl58YErEXWUse4hobi0645oemnScrb\nR/pm2wrizaE1uLVJIJNX7iYtq3LfnyUiIiIiIpXDa6+9htVq5YUXXiAuLo5+/fqRmJjIhAkT+OKL\nL0qMnzZtGikpKfTp04c333yToUOH8sEHHxT3d+vWjffee481a9Zw22238dlnn/Gf//yH8PDwEnPJ\nH7QDQy6bpc7NhNd0Y/vhVLau3MYNHZuUOi7s0SfJGvAA+3rcyqolK+jT/AGbrVFPdY/i+21Hefv7\nHbx65w3lFV9EREREROQvGT58OMOHD7/s8cHBwcydO/dPxzz22GM89thjNm1dunSx+RwbG4tp2r4J\nMiEhodT59u7dS1ZW1mVnrIi0A0OuSIfbowGDjXNmX3SMe2QkXs2iqHPiDNty93Ji80Gb/jC/Ktzf\nJpQvN6ayM61y/wUTERERERGRa0MFDLkiVds/iK+HOxlHf+XE4VMXHRf2+FM0Xr+aQqys+j6hRNXw\nsU7hVHF1ZsLC7WUdWURERERERCoBFTDkyrh50ap5TTCzWTPju4sO82jSGK+GodTKyGZr9h4yfj1s\n0+/r5cbw2PosTUpj3e7jZZ1aRERERESkzMXHx2Oapp5lUUZUwJArFnXXYFwsbuzevJKiwtIf5gkQ\n9vgYmmxYTYFRxJpFJXdhDO4QRlBVd15ZkITVal5kFhEREREREREVMOQvsNRqRmSQC4X5B9jyw5aL\njvO8+Wa8QmsSnJnDr2d2c3LrUZt+dxcnnoxrwJYDJ5m35VBZxxYREREREZEKTAUM+Us63NERMNg0\nb86fjgt77O802bCGfKOQNQtL7sLo06wWDYN8eH1xMnmFRWWYWERERERERCoyFTDkL/Fqez/+nu6c\nTP+NY/szLjquSvt2eAX4EHgqjy2nd3IqKc2m38liMK5HFAcycvgicV9ZxxYREREREZEKSgUM+Wtc\nq9CmZU0wc1kzY95FhxmGQd3HnqTJ+jXkGYWsXbCixJjoCH9iIv15f9lOTmYXlGVqERERERERqaBU\nwJC/LKL3UFyd3Ni7ZTWF+Re//cO7Y0d8qrrin5XPL1k7yEpOKzFm7K1RnMotYOLyHWUZWURERERE\nRCooFTDkLzOCb6JhsDNFBYfYvGTzxcdZLISMfIIbN6wl1yhg7fyVJcY0DPLhrua1mbp2H/tPZJdl\nbBEREREREamAVMCQq9K2d1fAwuYFc/90XNXu3anqasXvdD6bTyZzemd6iTFPxkViscDri5PLKK2I\niIiIiMhfEx8fT+3atUvtS0hIwDAMli5dCkBsbCwdOnQoMe7555/HMAyee+65Ms1aWamAIVelSqv7\nqFnFlawT2ziy+/hFxxlOTtR+ZBQ3blxHrlHAunkld2EEVfVgcIcw/vfLIbYcyCzL2CIiIiIiIuVq\nzJgxvPzyy8U/cuVUwJCr41qFtq2DwMxjzcz//enQ6rffTjUzl+rZBfyUuZ0zu06UGDP8lvr4VnHl\nX/OTSrxyVUREREREpKIxTZPHH3+cN954gzfffJNnn33W3pEqLBUw5KrVu2MYbk5upG5dQ35u4UXH\nGS4uBA8fyU0b1pNt5LP+u5K7MLzdXRjVJYL1e06wbHvJh32KiIiIiMj16czmNA5P2MCBZ1ZxeMIG\nzmx2/O8LpmkyfPhwJk6cyMSJExk9erS9I1VoKmDIVTMCm9C4jjPWwiNsWvjjn46tcVdfquefolpu\nIZtOJJG9N6PEmPtahRDmV4VXF26nsMhaVrFFRERERKSCOLM5jcxZOyjKzAOgKDOPzFk7HLqIYbVa\nGThwIJ988gkff/wxI0eOtHekCs/Z3gGkcmh9ezd+em8OvyyaR5verTEMo9RxFjc3gocM56bpM1gR\n3Z4N81YR+9jtNmNcnCw83b0Bw6f9xFc/HqB/65DyuAQRERERESljmfN2kX/ozBUfl596CopsbzE3\nC6xkfJPCmQ1Hrmgu1+AqVOtV/4ozXKnExEQSExN5/vnnGTx4cJmf73qgHRhyTXi2vJcgLxfOZCZx\nMOXYn471vfdefLNO4JNXxI/p28jZf7LEmG6NA2kRWp23vk/hTN7Fb0sREREREZHrQNFFno93sXYH\n0KBBA8LDw5k4cSKbN2+2d5xKQTsw5Npw9aR921p88/1u1s6cyz0vDr3oUIunJwEDB3HTt/NY1aEN\nG+euIubR22zGGIbB2B4NuevDtUxeuZsnukaW9RWIiIiIiEgZ+6s7Hw5P2FB8+8j5nKq5ETDsxquN\ndVmcnZ0pKioqte9cu7PzH1+x/fz8+O9//0tMTAxxcXEsX76cJk2alEvWyko7MOSaCbltGO7ObhxM\nSSQvu+BPx/rf/yD+J47glW9lY9pWcg+cKjHm5tDq9LghkMkrd/8/e/cdHXWV/3/8eWcmjQQSIIVe\nQgm99yKEIk0EsYsoIM3VdVG3qPvd+vWLZd1V191113XXsuq6Voo06S2k0gMJBEgICZCQENLrfH5/\niPtDhGTSA7we53wOM5+5935ekzOHc+Y993MvadmFtRVbREREREQauCaTOmDcvvv11bjZaDKpQ51l\nCAwM5Pz58xQXF3/vtdTUVACCgoK+c75du3Zs3rwZT09PJkyYQHx8fJ1kvVGpgCE1xrToSZ92Npyl\naUSuiii3rb1xY/wffJA+MTHk2AqIWbnzqu1+OqkbpU4nr248VhuRRURERETkOuDdPxC/WV2w+3kA\n38y88JvVBe/+gXWWITQ0lNLSUlauXPm91z7//HNatmxJSEjI914LDg5m06ZNGGMYP348x48fr4u4\nNyQVMKRGDZlxGwY7hzZ+hWWVfz9a4LxHaHn2FN4lTiLPHqIoNed7bTr4ezN7aHv+E3WKY+e+/7qI\niIiIiNwcvPsH0vKZIbR5cTQtnxlSp8ULgAkTJjBx4kTmzp3L888/z4YNG/jiiy+45557WLFiBcuW\nLcNmu/pX7K5du7Jp0yaKi4sZN24cSUlJdZr9RqEChtQoj4H30LqxnfzsOJJiz5Tb1tG0KU3vvZc+\nMXu4aMtnz8pdV233xPgueLs7eHFtXG1EFhERERERqZAxhpUrV7J06VLef/99brvtNh5++GHOnDnD\n8uXLmTt3brn9e/TowfOdYS4AACAASURBVIYNG8jNzWX8+PH/ve1EXKcChtQsNy9GjmwHlLL7k+9P\nrbpS0IJFtEpJpFGJk4jUgxSfzf1em2be7jwa2olNcWnsPp5RC6FFREREREQq5unpyfPPP8/Ro0cp\nKioiJyeHHTt2MGPGjO+027p1Kzt3fv82+b59+5KRkUFCQgKtWrWqq9g3DBUwpMa1nrqYRm4enEkI\nJz/n+ysFX84tMJAms2bSa99+smx57F25+6rt5o/sSCtfT5atOYLT2XC3ShIREREREZHaoQKG1DgT\n1J2+7W1YZeeJXBFWYftWix6lXWICnqUWEaf3U5yW9702nm52nr41hIMpF1l1QFOtREREREREbjYq\nYEitGDRjBsbYid2yFquCGRNurVvjfdsUeh7YT6Ytl/0rw6/a7o7+renRsgkvr4unqPTq+y+LiIiI\niIjIjUkFDKkV7v3vpG1jQ2FuPCf2n66wfaslj9Ex4RieZRbhp/ZRkp7/vTY2m+G5qd1JySrg/TCt\n2isiIiIiInIzUQFDaoebFyNHdwTKCP90RYXNPTp2xGviWLofOkSGLYcDqyKu2m5UF39u6RrAG5uP\nkZVfXMOhRUREREREpKFSAUNqTaspS/B28+DcyUhysworbN/6Bz+ic9wRPMogPHEvJee/PwsD4Nkp\n3cgpKuVPmxNqOrKIiIiIiIg0UCpgSO0JCGFAsA3LmUn4FzsqbO4Z0hX3W0YQcuQQ6bZsYr+Kumq7\n7i2bcNeANry/O4nkzKsXOUREREREROTGogKG1Kr+M+7AZhzE7Vjv0vanbR7/EV0PH8HdCWEn9lCS\nWXDVdk/fGoLNBi+vj6/pyCIiIiIiItIAqYAhtcqtzyza+1oU5R/jWFRihe29evfGfXB/usQdIc12\nkSNfRV+1XQtfTxaMCmbV/lT2J2fVcGoRERERERFpaFTAkNrl5snIMZ2BMiK+WOlSlzaP/4juhw7h\n5oSwhBhKs4qu2m7xmGCae7uzbM0RLKvi2R0iIiIiIiJy/VIBQ2pd0K1LaOzuwflTUWRfY2HOyzUa\nPBhHn+50SojjrC2LuNVXn4XR2NONH03oQsTJTDYdSavp2CIiIiIiIv81d+5c2rRpc9XXtm7dijGG\njRs3ApCdnc2vfvUrevTogbe3N02bNqV3794sXryYtDR9d6kqFTCk9vl3YWAng+XMYvcXW13q0uax\npfTcfwg3C8LiYyi7ePVZGPcPaUewvzcvrD1CaZmzBkOLiIiIiIhUXllZGRMmTODNN9/kkUceYeXK\nlbz33nvcf//9hIWFkZqaWt8Rr1sqYEid6DvjLmzGwdGwDZS5UGjwHjUSR5eOtD9xlFRbJvGr91y1\nnZvdxk8nd+N4eh7/iU6u6dgiIiIiIiKVsm3bNqKiovj73//O008/zfjx47n99tt57rnnOHjwIH36\n9KnviNctFTCkTjh630Gwn5PiguPEh52osL0xhjaP/4g+ew/isCAsLpqy7OKrtp3UM4hB7Zvy6oZj\n5BaV1nR0ERERERFpAA4cOMCrr77Kr3/9a1599VUOHDhQ35GuKjMzE4AWLVpc9XWbTV/Dq0p/Oakb\nDg9GhoYATqKWu7aYp8+4cTjataJt0nFO2zI4tnbfVdsZY3huWnfO5xbx1vaKiyMiIiIiInJ9OXDg\nAKtWreLixYsAXLx4kVWrVjXIIsaAAQNwOBwsXryYL7/8kgsXLtR3pBuGo74DyM3Df/xifFf/lIzU\naLLO5eEX5F1ue2Oz0foHT1D6zDOcat+ZsMORdMnph72x+/faDmjXlGm9W/L37Sd4cGg7Apt41tbb\nEBERERGRKlq7di1nz56tdL/Tp09TVlb2nXMlJSWsWLGCmJiYSo3VokULpkyZUukMrgoODubNN99k\n6dKlzJo1C2MM3bt3Z+rUqTz55JO0atWq1q59o9MMDKk7/p0Z1NlgObMJ+2yTS12aTJmMvYU/rU+f\n4JQ5z/F1166w/mRSCKVOJ69uPFpTiUVEREREpAG4snhR0fn6tmDBApKTk/nggw9YtGgRTqeTV155\nhZ49exIbG1vf8a5bmoEhdarX7fey9chHJERuomzRbdjdyq+hGbud1o8+zsBf/4aUNsHsOhRJpyl9\nsPt8fxZGB39vZg9tz/u7E5k3siNdgxrX0rsQEREREZGqqOrMh1dfffW/t49cztfXl3nz5lU3lksc\nDkeFhRSH4/9/xW7atCmzZ89m9uzZAKxYsYJZs2bxq1/9is8++6z2A9+ANAND6pSj10w6Ny2lpPAE\nsTtcmynhO306jmZNaJGaSJJJI/HrQ9ds+8T4Lni7O3hxbVxNRRYRERERkXo2fvx43NzcvnPOzc2N\n8ePH11mGwMBAzp8/T3Hx9zcX+HZr1KCgoGv2nzFjBn379uXw4cO1lvFGpwKG1C2HOyNDewAW0Std\nW8zTuLvTcuGjDI7Yg80y7NofQVleyVXbNvN25wehndkcl0bY8fM1GFxEREREROpLnz59mD59Or6+\nvsA3My+mT59ep1uShoaGUlpaysqrfI/5/PPPadmyJSEhIZw/f57CwsLvtcnLyyM5OZmWLVvWRdwb\nkm4hkTrXdNximq76MRfO7iEjJZvmrZtU2Mfvrjs585c/Eph2ihOBFkkbYgme2e+qbeeN7MC/diey\nbM0RVj42CpvN1PA7EBERERGRutanT586LVhcacKECUycOJG5c+cSFxfH0KFDycnJ4eOPP2bFihW8\n88472Gw2tm7dyqOPPsrcuXMZPXo0fn5+JCUl8cYbb5CZmclTTz1Vb+/heqcZGFL3mndicIgNrFzC\nPt3oUhebpydBjyxi2K5obMYQtjcCZ/7VZ2F4utn58aQQDqVks+pAak0mFxERERGRm5QxhpUrV7J0\n6VLef/99brvtNh5++GHOnDnD8uXLmTt3LgDDhg1jwYIFbN++nQULFjB+/Hieeuop/P392bBhA9Om\nTavfN3Id0wwMqRc9pj/A5kMfcGLPFkqLZ+Bwt1fYp9l993Hur3+hWfppjvtbnNp4hA63X70CO7Nf\na97ecZKX18UzqWcLPN0qHl9ERERERKQ8np6ePP/88zz//PPXbNOmTRteeOGFOkx189AMDKkX9h7T\n6dqsmNKikxzYcsSlPjZvbwLmzmfkziiMgV17wnEWll69rc3w3NTupGQV8P7uxJoLLiIiIiIiIvVC\nBQypHw53RozrDcCe1atc7tZ8zhzc7Qa/zFQSrDOc3njt3UZGdfFnTNcA/rQ5gaz8768ULCIiIiIi\nItcPFTCk3viGLqK5p4OLaftIS7rgUh97kyb4z36QETuiwFjsit59zVkYAM9O7UZuUSlvbE6oqdgi\nIiIiIiJSD1TAkPrTLJih3exg5RH2iWuLeQI0nzcPL2cZTbLOctRKJXXL0Wu27daiCXcNbMP7uxM5\nlZFfA6FFRERERESkPqiAIfUq5LbZuNncSDywleJyZlJcztGsGc3uvZeROyK/mYURsRtnUdk12z81\nMQS7zfC7r+NrKraIiIiIiFTAsqz6jiANQE1+DlTAkHpl6zGdbv6FlBUnsX/jIZf7+T+yAO+iYhpn\npxFvnebs1mPXbNvC15OFo4NZtT+V/clZNRFbRERERETK4XA4KC117QdKubGVlpbicNTMBqgqYEj9\nsrsxbPwAwLB37VcuV+fcgoLwmzWLETsisIzFrvAwnMXXnoWx6JZgmnu7839rjqgSLCIiIiJSyzw9\nPcnNza3vGNIA5OTk4OnpWSNjqYAh9a7JmIUEetnIydjPmeOuLeYJELBoEU3yCmiUe54452nObT9+\nzbaNPd1YOqELkScz2XgkrSZii4iIiIjINQQEBJCenk5+fr5+QLxJWZZFfn4+58+fJyAgoEbGrJl5\nHCLV0bQDQ3s4WBVTwO5P13Hnsw+41M29TRsa3zaNEdu3sHHybYTt2sWsMZ0wbvartr9vSDve2ZXI\ni2uPEBoSgMOu+p2IiIiISG3w9PQkKCiIs2fPUlRUVN9xbhqFhYU1NtuhJnh4eBAUFFRjmVTAkAah\n89Q5uO97j+TYHRTl341HIzeX+gUueZScVV/hlZ/BYS8bo3acJGhc56u2dbPb+NmUbiz+VwwfRyXz\n4LD2NfkWRERERETkMr6+vvj6+tZ3jJvK1q1b6d+/f33HqDX6CVoaBFv3afTwz6esJJk96/e73M8j\nOBjviRMYtiuSMuMkbOcurBLnNdvf2iOIwR2a8trGo+QWaVEhERERERGR64UKGNIw2N0YNnEIYNi/\nfnWl7pML+sFjBGRk41l4gdiyU6SHJV6zrTGG56Z253xuMW9tP1H93CIiIiIiIlInVMCQBsN71AJa\nNIK8rIOcjkt3uZ9nt2543jKKIWERlJoydm/fhVV67VkY/ds1ZVrvlvx9+wnOZRfWRHQRERERERGp\nZSpgSMPRtD3DenmAVcjuz9dXqmuLHzxGy7SLeBRd5FBpIhm7T5Xb/qeTQyh1Onl1w9HqJBYRERER\nEZE6ogKGNCjBkx/Gw+5GypEdFOQWu9zPq18/3IcOYmB4OCWmjN1bd5Y7C6N9c28eHNaeT6KTOXou\npyaii4iIiIiISC1SAUMaFNNtCr0D8nCWphK9Zk+l+rb4wQ9peyYL9+JsDpYmciEiudz2T4zrgreH\ngxfWHKlOZBEREREREakDKmBIw2J3MPjW4YDh4Ma1WE7XF/NsNGQwbn170zcynGJTyu4tu7DKrj0L\no6m3O4+FdmZLfDphCedrILyIiIiIiIjUFhUwpMFpNPIRWnlbFGQfIvHQWZf7GWNo8djjBJ++gFtp\nLgdKTpAVdbrcPnNHdKC1nxfL1h7BWYliiYiIiIiIiNQtFTCk4fFrx/A+XmAVEf7Fukp19R49Gnu3\nrvSMCafIlBK+KQyr7NqFCU83O0/f2pVDKdms3J9a3eQiIiIiIiJSS1TAkAap/aS5eDrcOHtsF3kX\ni1zuZ4yhxQ8eI+RkBo6yPPYXHycrOqXcPjP7taZnqyb8bn08hSVl1Y0uIiIiIiIitUAFDGmQTNdJ\n9A3MwVl6lqhVUZXq23jCBGzB7em2N5xCU0LkprBy19Kw2QzPTe1OSlYB74UlVjO5iIiIiIiI1AYV\nMKRhsjsYeOtoDDZit66r1PoUxmajxaOP0TPhPHZnAfuKEsjee6bcPiM7+zM2JIA/bUngQp7r27eK\niIiIiIhI3VABQxosrxGP0ManlMKcw5zYW/5tIFdqMmUKpnVLOh8Ip8AUE/n1rgp3NHl2Snfyikp5\nY3NCdWKLiIiIiIhILVABQxou3zYM7+sDFBPx5dpKdTUOB0FLHqVfXBp2q5C9hQnk7Ct/R5OQFo25\ne2Bb/hWeyKmM/GoEFxERERERkZqmAoY0aG1unUsjNzfOndhNTmZhpfr6zZgBgf60i40g3xQR9XX5\na2EAPDmxK3ab4eX1cdWJLSIiIiIiIjVMBQxp0EyXW+nX4iJWWRoRK8Mr19fdnaCFixl86Cw2itlT\ncJTcg2nl9mnh68nC0cF8deAM+5KzqhNdREREREREapDLBQxjTHNjzBxjzE8vPW9ljGlTe9FEALuD\nARPHYYyNuO3rKStzVqq73913YZr60iounDxTRPS6imdhLB7TCX8fd5atPoJlub54qIiIiIiIiNQe\nlwoYxpgxQDwwG/jFpdNdgDdrKZfIf3kMm0c7nxKK8o6QEJlcqb42T08CH1nAiH1nsFFCTF48ebHl\nz8Lw8XDwowldiUzMZMPhc9WJLiIiIiIiIjXE1RkYrwH3WpY1GSi9dC4CGFIrqUQu59uaEf0aA6VE\nrKjcYp4AfvfdD429CUyIJNdWSMy63RXOrLhvcFuCA7x5cV0cJZWc9SEiIiIiIiI1z9UCRgfLsjZd\nevztN79iwOHqhYwxk40x8caYBGPMM9doc48x5rAxJtYY85GrY8uNr+XE+fi4OTh/KpystLxK9bX7\neBPw8DxuiT6NzZQSkxNP/uHz5fZxs9t4ZnI3TqTn8XFU5WZ9iIiIiIiISM1ztYBx2Bgz6YpzE4CD\nrnQ2xtiBPwNTgB7A/caYHle06QI8C4y0LKsnsNTFbHITMF0m0r/lRayy80SuCKt0/2YPzgYvT5qe\niCTbVsCetRXPwpjYI4jBHZry+saj5BaVlttWREREREREaperBYyngQ+NMe8BXsaYvwHvAj9xsf8Q\nIMGyrBOWZRUDHwMzrmizEPizZVkXACzLKn+hArm52Oz0u3UiNmMjPmwDZSWVu63D7ueH/4MPMi4y\nGZspIzo7jvy4jHL7GGN4bmp3zucW89a249VJLyIiIiIiItVkXN1lwRjTCngQaA8kAx9YlnXaxb53\nAZMty1pw6fkcYKhlWY9f1mY5cBQYCdiBX1uWte4qYy0CFgEEBQUN/Pjjj13K35Dk5ubi4+NT3zGu\nO+5FGZz79C1O5HjSceISmnX2qlR/W3Y2zX7+HBuGtuFim2GMcvTEMTIATPn9/rKvkH3pZbw02oum\nnjW/87A+D3I5fR7kcvo8yLf0WZDL6fMgl9PnQS53vX4eQkNDYyzLGlRRO5fWsDDG/NiyrFeAl684\n/5RlWX9wZYirnLuycuLgm51NxgJtgB3GmF6WZWV9p5NlvQW8BTBo0CBr7NixrryFBmXr1q1cj7kb\ngnMnPuHE1jyy444za8HjFXe4wtmDB5nw0Yd8ec8QYosTWdRqPF4hzcrtE9w7n/F/2Ep4rj8vTe5T\n1ejXpM+DXE6fB7mcPg/yLX0W5HL6PMjl9HmQy93onwdXf07+5TXO/4+L/U8DbS973gZIvUqbFZZl\nlViWdZJvtm3t4uL4cpMImrCAJu4OMlMiyUjNrXT/5o88gt3Y8EqN5oItj31rwitcC6Nd80bMGdaB\nT2OSiT+bU9XoIiIiIiIiUg3lFjCMMeOMMeMAuzEm9Nvnl44FgKvf5qKALsaYjsYYd+A+YOUVbZYD\noZeu6w90BU5U5s3ITaDTOAa2ysJyZhLx5c5Kd3dr0QK/O2YxaVcSNptF1IXDFCZkVdjvh+M64+3h\n4IW1R6qSWkRERERERKqpohkY/7h0eAL/vOz528B84IeuXMSyrFLgcWA9cAT4xLKsWGPMb40xt19q\nth7IMMYcBrYAP7Esq/xVFuXmY7PTe+JkbMZOQuQmSovLKj2E/8IFOJwWbmdjyLTlcmBNRIV9mnq7\n81hoZ7bGp7MrofwtWEVERERERKTmlVvAsCyro2VZHYEPv3186Qi2LGuEZVlXzqIob6w1lmV1tSyr\nk2VZ/3fp3C+/HcP6xlOWZfWwLKu3ZVnX3+qcUifchjxMpyb5lBQe5fDOyu8O4t6uHb7TbmPyzpPf\nzMLIiKXw+IUK+80d0YHWfl4sW3MEp9O1xW9FRERERESkZri0BoZlWQ/VdhARlzVpyfCBzYEyolat\nrdIQ/osX4VnsxJa+l/O2HA6uiaqwj6ebnR9P6kpsajYr9qdU6boiIiIiIiJSNS4VMIwxTYwxfzDG\nxBhjkowxp749ajugyNUEjF+An4edi2ejSD91sdL9PTp3xufWiUzeeQKbDSLTD1F4suK1MGb0bU2v\n1k14Zf1RCksqf/uKiIiIiIiIVI2ru5D8BRgA/BZoxjdrX5wCXq2lXCLlCx7HoNYXsJxZhH+5vUpD\nBCxZgndBGdaF/aTbsjm8JrrCPjab4bkp3UnJKuDdsMQqXVdEREREREQqz9UCxq3AnZZlrQDKLv17\nLzCn1pKJlMdmo+fEadiNnRMxWyguLK30EJ49etDoltFM2pGAzQYR5w5SmFjxbI4Rnf0JDQngz1sS\nuJBXXJX0IiIiIiIiUkmuFjBswLff7HKNMX7AGaBzraQScYFj8Fy6+OZSWpTAoa1HqzRGwJJH8c0t\npfTiAc7ZLhK3Nsalfs9M6U5eUSlvbE6o0nVFRERERESkclwtYOwHxlx6vAP4M/AmULVvjSI1oXEQ\nwwYFAk5i1qzFsiq/M0ijAf3xGjKYSTuPYbcZIlIPUpycU2G/kBaNuXtgW/4VnkhSRl4VwouIiIiI\niEhluFrAWAgkXnr8BFAA+AHanUTqVfPQBTTzsJGTHsO5E5VfzBMg4NFHaXaxlILcg5yxXyButWuz\nMJ66tSsOm42X18dX6boiIiIiIiLiOle3UT1hWdbxS4/TLctaYFnWvcCxWk0nUpHgUAa3vYDlzCb8\nyy1VGqLRsGF49O3NpJ1Hv5mFkXKA4pTcCvsFNfFk4eiOrD5whr2nLlTp2iIiIiIiIuIaV2dgfIcx\nxsMY80PgRA3nEakcm43uE2fgsNlJ3L+NovySSg9hjCFgyaMEZpaQlx9Lij2To6v3utR30ZhO+Pu4\ns2zNkSrdwiIiIiIiIiKuKbeAYYwJMcbsMMbkGGP2GGN6GWPu5JvCxRzg6TpJKVIO+8A5hPhepKz4\nOPs3xVVpDJ+xY3EL6cqEsHjsxhCRvI/i1IpnYfh4OFg6oStRiRf4+vC5Kl1bREREREREKlbRDIw/\nAgnAPUAssAL4DfCwZVlDLMv6pJbziVSscRDDhrQGLPauq9pinsYYAh99lNZpxeQUHyHZnkHCmn0u\n9b1vcFuCA7x5aW0cJWXOSl9bREREREREKlZRAWMgsMSyrLXAEqADMNmyrI21HUykMvzGLMDf05Cb\nsYeU+MwqjdF44kQcHTswdnccNmMIT9pHydmKdxhx2G08M7kbJ87n8XFUcpWuLSIiIiIiIuWrqIDh\nbllWEYBlWXnARcuyTtd+LJFK6jiGIe2ywMolYvnmKg1h7HYCFi+mY2oR2aXxnLKf5/ia/S71ndgj\niCEdmvH6xqPkFpVW6foiIiIiIiJybRUVMDyMMb/99gC8Ln9+6ZxI/bPZ6DphJm42O6cObacgt7hK\nw/hOm4a9dStGRRz+ZhbGyb2UnKt4FoYxhuemded8bjF/23a8StcWERERERGRa6uogPER0Pay4+Mr\nnrep1XQilWAf+BDd/S7gLDnJ3vWxVRrDuLkRsGgxIaeKyHIeI9Gezsl1B13q26+tH7f1acnfd5zg\n7MXCKl1fRERERERErq7cAoZlWfMqOObXVVCRCvkEMHRoewAObFyH5azatqa+d8zEFhjAsKjYb2Zh\nJOylJD3fpb4/ndSNMqfFHzbEV+naIiIiIiIicnUVzcAQua40uWUBgV6Qd2Efpw6nV2kMm7s7AQsW\n0PtEIVmc4ITtHElrXZvR0a55Ix4a3oFPY04Tdza7StcXERERERGR71MBQ24sHUYztN0FsPKIWL6p\nysP43X03pqkfA2IOYrMZwo/FUHq+wKW+j4d2xsfDwYtr46p8fREREREREfkuFTDkxmKz0XniXbjb\n7aTE7STvYlHVhvHywn/efAYeLeCCLZHjtrOcWufaLIym3u48HtqZrfHp7Eo4X6Xri4iIiIiIyHep\ngCE3HNuAOfRqmoGzJIk9aw9UeZymD9wPjX3otXc/xhjC42MozXBtFsbDIzrQ2s+LZWuO4KziWhwi\nIiIiIiLy/7lcwDDGhBhj7jHGzL/8qM1wIlXi7c+gYZ0Aw8HN66tcQLD7+OA/5yFGHC4g03GKY7az\nnP7atdtCPN3s/GRSCLGp2Szfl1Kl64uIiIiIiMj/51IBwxjzHLAfeBqYc9nxYO1FE6m6xqMeoUWj\nMgqy95N44FyVx2k650Hw8qTbwX1gYPfhaEovuLZF6u19W9GrdRNeWR9PYUlZlTOIiIiIiIiI6zMw\nlgJDLMsaallW6GXHuNoMJ1JlHUYzrMNFsAqIWL6xysM4mjal2QMPMPpAPlnuKRyzpZLi4iwMm83w\n3NTupF4s5J1diVXOICIiIiIiIq4XMAoAbakg1w9jCJ5wLx52O2eP7SIn07VZE1fTfO5cbG5udIzd\ng2Ug/FA0pVmuLQ46opM/oSEB/GVLApl5xVXOICIiIiIicrNztYDxC+ANY0xLY4zt8qM2w4lUh+k3\nmz7N0nCWJhO9Zm+Vx3EEBND07nsYty+fLI+zxNtSOLMh3uX+z07tTl5xKW9sPlblDCIiIiIiIjc7\nVwsQ7wILgdNAyaWj9NK/Ig2Td3MGDgsBDIe3fk1ZmbPKQzV/ZD52bLSOi8YyFuEHoihzcYvWrkGN\nuWdQWz4ITyIpI6/KGURERERERG5mrhYwOl46gi87vn0u0mB5j1pA60alFOYe5PieM1Uex61VK3zv\nmMmkPflc9EwnzpbC2Y2uz6h4amJXHDYbL69zfeaGiIiIiIiI/H8uFTAsy0qyLCsJSAaKgeTLzok0\nXO1HMiw4G6xCIldsqNZQ/gsXYi+z8D8WRZlxEr4/irJs19a1CGziycJbgll98Ax7Tl2oVg4RERER\nEZGbkavbqDYxxrwPFAIpQIEx5j1jjG+tphOpLmNoP/5+PB120k7u5mJ6fpWHcm/fHt+p05gWnU+u\nVyZHTDLnNrk+C2PRLcH4+3iwbPURLMuqcg4REREREZGbkau3kPwR8AZ6AV5Ab6DRpfMiDZrp9wD9\nmp3FKk0h6quYao3VfNFC3IvKaHwiglLjJGJvFGU5rs3C8PFwsHRCF6KTLrA+9ly1coiIiIiIiNxs\nXC1gTAbmWJZ11LKsIsuyjgLzLp0XadgaNaP/8F4YDEd2bqCspOqLeXp27UrjiRO4PTKPPK8sDptk\n0jYfd7n/fYPb0inAm5fXxVFSjUVFRUREREREbjauFjAKgYArzvkDrm3DIFLPGo18hDbexRTnxRIf\nlVytsZovXoJnQRkeyRGUmDIiYyIpy3VtFobDbuOZKd05cT6PjyNPVSuHiIiIiIjIzcTVAsbbwAZj\nzBJjzBRjzBJgPfBW7UUTqUHthjM8OA+sIqJXVm8xT69ePfEePYqZ4bnke2VzyJzi/NaTLvef0D2Q\nIR2b8drGY+QUaidiERERERERV7hawPg/4EXgLuD3l/59+dJ5kYbPGNqMu59GDjvnT4WTeSavWsP5\nL1mCd24pJjWcElNGRGQkZXmuFSOMMfx8ancy8ooZ8cJm5q7LY+SLm1m+N6VamURERERERG5krm6j\nalmW9U/LsiZYrxMp7AAAIABJREFUltXj0r//sLSVglxHTL/76d88FavsLJGrIqs1VqOBA/EaPJhZ\n4bkUNsrjkEkiY5vrszBOns/Dbgw5RaUApGQV8OwXB1XEEBERERERuYZrFjCMMXMuezz/WkfdxBSp\nAY2a0W9EPwyGY7s3UlJcVq3h/JcspsnFEkrO7abYlBIZEYkz37VZGL9bH0/ZFfW/gpIyfrc+vlqZ\nREREREREblTlzcC4/7LHc65xPFh70URqnueIR2jvU0hx/mHiwqq3iKb3iBF49unNrN3ZFDcq4CCJ\nZGxLcqlvalbBVc+nZBVQVFq9woqIiIiIiMiN6JoFDMuypl72OPQax7i6iSlSQ9oOZVinfKCE6NXr\nqzWUMQb/JUtolllC7vkwikwpUREROAtLK+zbys/rmq+NeGEzv1sfR8o1ihwiIiIiIiI3I5fWwDDG\n7L3G+eiajSNSy4yhVeiD+LjZuJASSXpyTrWG8xk7FveQrszafZGSRkUcsBK5sL3imR0/mRSCl5v9\nO+e83GwsGRNM/3ZN+cvW44x+aTOL3o9mV8J5tNyMiIiIiIjc7FzdhaTzlSeMMQYIrtk4IrXP9LuP\nAf4pWGVpRK6MqN5YNhsBixcTlF7ChaxdFJoSosIicBaVPwtjZv/WvDCrN60vzcRo7efFC7P68MyU\n7rz98CC2/ySURbd0Iioxk9lvRzDhD9t4LyxR266KiIiIiMhNq9wChjHmfWPM+4D7t48vO7cNiK2T\nlCI1yaspfYYPwmZsHI/aRLELt3yUp/GkSbh1aM8du7Mo8yphv3WSCzuSK+w3s39rdj0zjncne7Pr\nmXHM7N/6v6+1bdaIZ6Z0Y/ez43nl7r54ezj41cpYhi3bxC+WH+LYuerNHBEREREREbneVDQD4/il\n4/LHx4EE4ENgRu1FE6k9HsPn09Enj5KCI8TuSKzWWMZux3/RYtqcKeFc7i4KTDExuyJwFlV/MU5P\nNzt3DWzDysdHsfyxkUzq2YL/RCUz8dXt3P9WOGsPnqG0zFnt64iIiIiIiDR0jvJetCzrNwDGmHDL\nsqq34qFIQ9J2CEM7F3F8rxd71qyn34ROfHNXVNX4Tr+N9D/9iRnh6UROKGNf/kkGh52maWj7Govc\nr60f/e7tx8+ndefjqGQ+ijjFox/uoaWvJw8Macd9Q9oR0Nijxq4nIiIiIiLSkLi0BoZlWeuNMSHG\nmHuMMfMvP2o7oEitMIaWoQ/RxN1w8VwU505mV284Nzf8Fy4gOLmE5IKd5JsiYrZH4Cyu+S1Rm/t4\n8FhoZ7b9ZCx/mzOQTgE+/H7DUUa8uIkffbyXmKQLWvRTRERERERuOK7uQvIcsB94Gphz2fFg7UUT\nqWV97mFg8xSssvNErgqr9nC+s2ZhD/DntohM8HKyz3mC7N2nayDo1TnsNib1bMEHC4ay8akxzB7a\nnk1H0rjzzTBue2Mnn0QlU1hS8wUUERERERGR+uDqLiRLgSGWZQ21LCv0smNcbYYTqVVefvQaOQSb\nsXFyzxYK86q3w4fNw4Pm8x+h+8liThaHkWsK2bMtCqsOigidA3349e09CX9uPP87sxclZU5++vkB\nhi7bxLI1RziVkV/rGURERERERGqTqwWMAiCuNoOI1Af3YY/QuXE2pYXxHNp2vOIOFWh67z3Y/HyZ\nEpmG8bTYW5rAxfDUGkjqGh8PB3OGtWf90lv498JhjOzcnH/sPMmYV7Yw/90otsSn4XTq9hIRERER\nEbn+uFrA+AXwhjGmpTHGdvlRm+FEal2bQQzt6gTK2Lvu62qvHWFr1Ijmc+fS91gJx5xh5NgK2bc1\nEqukbncKMcYwvFNz/jJ7IDt/FsoPQztz4PRF5r0TRejvt/L2jhNczK/ejBMREREREZG65GoB4l1g\nIXAaKLl0lF76V+T6ZQyBY+bg527ISY8m9VhWtYdsOns2prEPt0afw+YJe0oSyImqu1kYV2rp68VT\nt4YQ9sw4Xr+vH/4+Hjy/+ghDX9jIM58fIDb1Yr1lExERERERcZWrBYyOl47gy45vn4tc3/rcw6CA\nZCxnJpErdlZ7OHvjxjSbPZtBR0qIYzfZtgL2bY7CKq3bWRhXcnfYmNGvNZ8/OoLVT4xiZr/WLN+X\nwrQ/7uSuN8NYsS+F4nrOKCIiIiIici2ubqOaZFlWEpAMFH/7/NI5keubpy89Rg7HbmwkHdxGQU5x\ntYds9vDD2Dw8CY05g93DsKf4GDlRZ2ogbM3o2cqXF+/sQ8SzE/ifad1JyyniRx/vY8SLm/nD1/Gc\nvVhY3xFFRERERES+w9VtVP2MMR8BhUDCpXO3G2Oer81wInXFbegCujbJoqzoGPs3H632eI6mTWl6\n332MiC0l1hZOli2fA5uj630WxpV8G7mxYHQwW388lnfmDaZ36ya8sSWBkS9t5gcfxhB+IqPa64KI\niIiIiIjUBFdvIfkrcBFoD3z78/Ru4N7aCCVS51oPYEgIQBn7v/4aqwZ26mg2bx42hxuj9p3G7mEj\npugYeTHnqj1ubbDZDKEhgbwzbwhbfzyW+SM7sCshg/veCmfSa9v5IDyJvKLS+o4pIiIiIiI3MVcL\nGOOBJyzLOgNYAJZlpQOBtRVMpE4Zg/8tD9HMA/Iy95B8JKPaQ7oFBeJ35yxCDziJdYvkgi2XA5ui\nsMoa1iyMK7Vv7s3Pp/Ug/NnxvHRnbxw2G/+z/BDDlm3i1ytjOZ6eW98RRURERETkJuRqAeMi4H/5\nCWNMO6Dh3NQvUl2972FwwCksZxaRK3fUyJDNH1mAzRgG70/C4W4jpvAoeXsa5iyMK3m527l3cDtW\nPzGKzx8dzrjugXwYkcT4329jzj8i+Dr2LGU1MFNFRERERETEFa4WMN4GPjfGhAI2Y8xw4D2+ubVE\n5Mbg2YRuo0bjsNlIPrydvKyiag/p3qY1vtNv59b9Fgc9o8mw5XJwYwxW2fXzxd8Yw8D2zXj9vv6E\nPTOepyd25di5XBb9K4ZbXt7CX7YmkJFb/b+ViIiIiIhIeVwtYLwEfAL8GXAD/gmsAF6vpVwi9cIx\n5BG6NcnAWXyc/ZviamTM5osW4ihx0u/gSRzudvYUHCVv3/UxC+NKAY09+OH4Luz8WShvzh5Au2aN\neHldPMNf3MxTn+xjX3JWfUcUEREREZEblKsFjCDLsl6zLKuHZVnelmV1tyzrNSCoNsOJ1LlW/Rkc\n4gCc7N/4Nc4auEXCo2NHmkyZzLS9cMhrL+m2bA5v2FMjC4XWF4fdxpTeLfn3omF8/eQt3DuoLesO\nnWXmn3cx4087+SzmNIUlZfUdU0REREREbiCuFjCuta/k4ZoKItIgGEOzWx7G39NJQdZekg6l18iw\nzRcvxq2wlG6Hj+FwsxOdH0f+/rQaGbu+dQ1qzP/O7EXEc+P5ze09ySkq5cef7mf4C5t4cW0cyZn5\n9R1RRERERERuAK4WMMz3ThjTBGjY2ymIVEXvuxkcmIzlzCZyxbYaGdIzJASfceOYGWOI9dlPmi2b\nI9f5LIwrNfZ04+ERHdj01Bg+XDCUwR2a8db244z53RYWvBfNjmPpNTKjRUREREREbk6O8l40xiTz\nzbapXsaYU1e83Bz4d20FE6k3Ho0JGRnKxtOJpMbvJDvjNpo096r2sP5LFpO7eTPBcfE42vQlOjee\nHgcH1UDghsUYw8jO/ozs7E9KVgEfhifxcVQyG4+cI9jfmznD23PnwDY08XSr76giIiIiInIdqWgG\nxoPAQ0AxMOey40FggGVZC2o3nkj9sA+ZRw/fdJwlJ9i34UiNjOnVpw/eI0YwK8bG4caHOGvLIvaT\ncDqts3HmxUjy9t4Yt5RcrrWfFz+d3I2wZ8bxh3v60sTLjd+sOsywZZv4+ZcHiT+bU98RRURERETk\nOlHuDAzLsrYBGGP8LcvSjexy82jVn0HdPNi/2+LQlq8ZeXc/7HZX77i6Nv9Hl5A35yHGnmhEuq+d\ndY69lDmc+OR7MvjLzgziFrz7B9bAG2hYPN3szBrQhlkD2nDgdBbv707i05jTfBhxiiEdm/Hw8A7c\n2jMItxr4G4uIiIiIyI3J1W8LZcaY/zPGnDDGXAQwxtxqjHm8FrOJ1Cu/0XMJ9Cqj4OI+TtTQtqeN\nBg/Ga+BAOrndQhlOyowTDOTaCtluDhOzeleNXKch69PGj1fu7kv4s+N5Zko3Ui4U8NhHexj10mZe\n33iMtOzC+o4oIiIiIiINkKsFjNeAXsBsvlkTAyAWeLQ2Qok0CL3uYkjgKbByiVq5tcaG9V+yhD1e\nZ3Ga7y5oWWacRBbH19h1Grpm3u4sGdOJ7T8N5e2HBhHSogmvbjzKiBc388N/7yUqMRPL0qKfIiIi\nIiLyjXJvIbnMTKCzZVl5xhgngGVZKcaY1rUXTaSeefjQeeQE3E+f5FxCGFlpM/ALbFTtYb1HjSRv\n48arvpZrCsmLOkujQUEY873Nf25IdpthQo8gJvQI4kR6Lh+En+LTmGRW7U+le8smPDS8PTP6taKR\nu6v/XYmIiIiIyI3I1RkYxVxR7DDGBAAZNZ5IpAGxD5lPL9+zOEtPsnfdoRoZ0xiDnbKrvwbEfxHN\n+X8cojTz5ruVIjjAh19O70HEc+NZdkdvLMvi2S8OMmzZJv73q8Mkns+r74giIiIiIlJPXC1gfAq8\nZ4zpCGCMaQn8Cfi4toKJNAgt+zKwuw8AsTs2UFbirJFhwwOisZddMZblpNBWxEqPaLYlR3H61Qhy\ndqVgOW++2ygauTt4YGg71v5oNJ8sHs4tXQN4LyyRsa9s5eF/RrI57hxlN+HfRURERETkZuZqAeM5\nIBE4CPgBx4BU4Le1E0uk4Wgyai4tG5VQlHOAYzGpNTJmn7PZ9I+KoFFeHlgWjfLyGBAZQUnRNgYP\nHswhc4rP3SOIXR1F+t8OUJJ2c24CZIxhSMdm/OmBAex6ZhxLJ3Th8Jls5r8bzdhXtvC3bce5kFdc\n3zFFRERERKQOuHRTuWVZxcBSYOmlW0fOW1pdT24WPWcxJPAlViS6Eb1qK92GPVjtIe/f7sQt7RSd\nEk9957xfBmycFsF9D97HprWbWFe2j67n0hjyeiaBEzrR+JY2mJt0q9GgJp4sndCVH4ztzPrYs/xr\ndxIvrI3jDxuOMqNfKx4a3oFerX3rO6aIiIiIiNSSSq+KZ1lWOoAxpg/wC8uy7q7xVCINiYcPwSNv\nxSP5OOmJu8lMvYNmrbyrNaRb+sWrnvfPhv1hy9nRfgfPTn0We6KdXbt2keyZwfANGXTdn06zu0Nw\nb+1Tretfz9wdNqb3bcX0vq04ciab93cnsXxvCp9En2ZAOz8eGt6BKb1b4OGw13dUERERERGpQeX+\nlGuMaWSM+V9jzCpjzB+MMU2MMcHGmC+BMCCtbmKK1C/bkPn08UvFWZpEzNr91R7P0bLlVc8bY3jx\nHyX8+P0cPnj3SVabr7jn4XvwC2zGZvdDrL0Ywck/7+biukSsGlqP43rWvWUTXpjVm/DnxvOL23pw\nIb+Epf/Zx8gXN/PK+nhSswrqO6KIiIiIiNSQiuai/xmYDhwGJgCfA9uAWKCDZVmP1W48kQaiRW/6\nd/cFDPFhmygpvvouIq4KfHIpxtPzO+eMpyctfv0rAp5+ii7Z3jz7qZOpv1zPO3+aTdDIpkycOJEU\neyafe0YStSOcs6/HUJR49ZkcNxtfLzceGdWRTU+N4b35Q+jX1o8/b01g9MtbWPKvGMISzqO73kRE\nRERErm8V3UIyCehnWVaaMeYN4BQwxrKsHbUfTaRhaTxyLm32/ovTeQc4GpFKz9FtqzyW7/TpAKS9\n+holqam4tWpF4JNL/3u++cMPk71uHebtvzF31QmyNv2Kw2PaMfOR3xAdHcfOxDiO56Ux6q1MWg/r\nTJNJHbB56JYJm80wpmsAY7oGkJyZzwcRSfwnKpl1sWfpHOjDQ8PbM2tAG3w8Kn33nIiIiIiI1LOK\nZmD4WJaVBmBZ1mkgV8ULuWn1msXgwNNgFRD91aZqD+c7fTpdNm8i7a9v0mXzpv8WLwCMuzu+t99O\nyIqvaPPOP7B178KItacou28eHfd8zeRhQ8l0z+MLj0h2Re7mzB+iKDx2odqZbiRtmzXi2SndCX92\nPL+7qw9ebnZ+uSKWYcs28csVh0hIy6nviCIiIiIiUgkV/QzpMMaEAubbE1c+tyxrcy1lE2lY3L3p\nOGoKnsnHyDwdQfqpOwlo17hWL2mMofHwEQwdvpLTB3YT/trP6bJpL+5f72Xy6GEcHjCEqHMJnCxJ\nZ/Q/M2k7oDN+0zpia+RWq7muJ55udu4e1Ja7BrZhX3IW7+9O4uPIZN7fncSITs15aHgHJnQPxHGT\n7u4iIiIiInK9qKiAkQb887LnGVc8t4Dgmg4l0lCZQfPot3YO4eedxKzdy+TFt9TZtdv0Gc6d/9jE\nur3/4eDfXmZMVDgDdoTTathQojp3ZrlHFH0OnGNgfDoBd4Tg1dO/zrJdD4wx9G/XlP7tmvLzad35\nT1QyH4YnseSDGFr5ejJ7WHvuHdwWfx+P+o4qIiIiIiJXUe5PjpZldbAsq2M5h4oXcnNp0Yt+PZoD\nhqPhmykuLK3TyxtjmDLgPha8vpHlL0/lb5Nt2I/v5dZPPqXjmVT225P43BnGoQ/CyPjwCGU5xXWa\n73rh7+PBY6Gd2f7TUP42ZyAdA7z53fp4RrywmaUf72XPqQta9FNEREREpIHRSnYileQ9Yh7tYv7J\nqfxDHAk7Td9xHeo8QzPPZrww4fdsDZnOb8N+S9tD6cw/dIy2cfFEDxnCau88usWdY1jCeQKmd6VR\n/0CMMRUPfJNx2G1M6tmCST1bkJCWw792J/H5nhSW70ulV+smPDS8A7f3bYWnmxZIFRERERGpb7rp\nW6Syet7BkKAzYBUSs3pjvf5SP7btWL68YwUdp97ND2am8+GdNsYVZND16FHibaf5pGw7+z7bRca7\nsZRmFdVbzutB58DG/GZGL8KfG8//zuhJUYmTn352gGEvbOKFNUdIzsyv74giIiIiIjc1FTBEKsu9\nEe1GTaWRw5B1Nopzidn1Gqexe2N+OfyX/HPSPznTxou5gyNJfqAN0z0cuOVmssH9AKuPb+Pk73aQ\nG5aC5dStEeXx8XAwZ3gHvn7yFj5aOJThwc15e+dJbvndFh55N4qt8Wk49TcUEREREalzKmCIVIEZ\nNJ/+TU9hlaYQvTqmvuMAMLjFYD6//XPm9ZrHR5nr+XHnLfR+ZCzD/PxIsp3jM9suor7aRerzGyhO\nzqzvuA2eMYYRnfx588GB7PxZKI+Hdmb/6SzmvhPFuN9v5e0dJ7iYX1LfMUVEREREbhoqYIhURVAP\n+vQMwmA4Eb2FwryG8UXW0+HJUwOf4qNpH9HMsxlPRj/Hhn7J3Dv/Ppr5erPN/TBrimNJeCOcM8//\nm+Kz5+o78nWhpa8XT98awq5nxvH6ff1o7uPB86uPMOyFTTz7xQEOp9bvLBwRERERkZuBChgiVdRo\n+Dw6+ORRUniYwztP1Xec7+jZvCf/vu3fPNH/CbYkb2H+7oW0mNmFyZMnk+aRyxdeUewvsEj59XpS\nnllGYfzR+o58XfBw2JnRrzWfPzqCr344itv7tuKLPSlM/eMO7v5rGCv3p1Jc6qzvmCIiIiIiNyQV\nMESqqudMhrQ8A1YRe9ZuaHDbbrrZ3FjYZyGf3f4Zwb7B/M+u/+HdnHe5a/49dOjSiXC3o6wNTCfD\n6kPKz97m1PyF5O7Y2eDeR0PVq7UvL93Vh4jnxvPzqd05l13EE//ey8iXNvOHDUc5l11Y3xFFRERE\nRG4oKmCIVJWbF61HTMfHzZCdFs2ZhKz6TnRVwb7BvDflPZ4d8ix70vYwZ+scGAAz75hJjncpy732\nENuzJ2XeE0n5yf9x8vYZZH3+Bc7i4vqOfl3wa+TOwluC2frjsbwzdzA9WzXhj5uOMfLFzTz24R4i\nTmSoKCQiIiIiUgNUwBCpBjNoPgOansQqO0vUV9H1HeeabMbGA90fYPmM5QwIGsBLUS/x+5Tfc9uc\n2+jRqwd73E6y0v8UeaE/wN5iLGd++RsSxo/n/F//SumFC/Ud/7pgsxlCuwXy7rwhbP3xWOaO6MCO\nY+nc+1Y4U17fwYcRSeQVldZ3TBERERGR65YKGCLVEdiN3r3aYIwhcd9WCnIa9qyFVj6teHP8mywb\ntYyT2SeZs2kOmV0zuee+eyj1Maz0iCEqyJdG97yOZ68xpL/2Ogmh4zj7299SnJhY3/GvGx38vfmf\n23oQ8dwEXpzVG5sx/PzLQwxbtonfrIrlRHpufUcUEREREbnuqIAhUk2ew+bSySeb0sLDHNx2sr7j\nVMgYw/RO01k+Yznj2o3jjb1v8Iujv2D8/eMZNGgQhxzJfEYEZ5oOJuBn/6LxlOlkffoZx6dMJfmx\nx8mPjtYtES7ycrdz35B2rH5iFJ8tGU5ot0A+CE9i3O+3MecfEWw4fI4y5zd/y+V7Uxj54mbmrstj\n5IubWb43pZ7Ti4iIiIg0LCpgiFRXjxkMbpkGlLBv/UYs5/Xx5d7fy59XxrzCa6GvcaHwAg9vfJij\nLY7ywJwHcG/qxVr3vaw/EUNx44m0fXsFzRcvoiA6mqQH55B4z71kr1mDVapbIlxhjGFQh2b88f7+\n7HpmHE9N7MrRczksfD+aW17ewuMf7eGZLw6QklUAQEpWAc9+cVBFDBERERGRy9RZAcMYM9kYE2+M\nSTDGPFNOu7uMMZYxZlBdZROpFjcvWo6YQRN3yM2IIflIZn0nqpTx7cazfOZy7uh8B+/EvsOT+59k\n8KwhjBo1igTHWT4p2cmeFTHYgybRcc3XtPjVL3FmZ5Py1NMcv3USGe++S1mubolwVWBjT54Y34Wd\nPxvHX2YPoE1TL746cIbCku9uv1pQUsbv1sfXU0oRERERkYanTgoYxhg7/D/27juuyvP+//jrPnuw\nlzJUhgoqoIJ7AZq4ojFLjRlGs5umbZI2+SZNY0yaphm/JqZNm6Ztqtnb2Bi3DCfuEXCAgAMBZQmy\nx+H8/jgHOEcxakQR/TwfjzwO57rvc3PdSvDw5nN9Lv4OTAL6ArMURenbxnmuwK+BrVdiXkK0F2XQ\nXGI9c7BaCtmxvPN9+brp3Jg/Yj7/Gf8fmqxNPJT4EJvNm7nn/nvw6OJFoi6d7w8kceTvu9D3vYGQ\n5csI+vu7aAL8KXztdbLiEzj5xps0FBR09K10Glq1islR/nz5yHCUc5yTV1bDwx/t4PWVB/l253H2\n5JZRUdtwRecphBBCCCHE1UJzhT7PECDLarXmACiK8gUwDdh/xnl/BN4AfneF5iVE+/ANp1+/Hqwr\nVHEsbT1VZeMwe+g7elYXbaj/UBZPW8zfd/+djw98zLrj63h+0vNEHo8kOSmZr5s2MuSrE/TfE4XX\nraNwHTeOmrQ0ShcupPTDDyn98EPcJk7Ea+5cjJH9Ovp2Oo0AD2PL8hFHBq2KnOIqkg4W0uiwNKmr\nm4EwPzM9fV0I83Ohp68LPf1c8HXVoyjnikOEEEIIIYTo3JQr0YxPUZQ7gIlWq/VB+/N7gaFWq/Vx\nh3MGAn+wWq23K4qSAvzOarWetS+loigPAw8DdOnSJfaLL7647PNvb5WVlbi4uHT0NEQ78zuZQvba\nRDJPexM04lG69Ddc0Ouu1q+Ho3VH+azkM/Ib8okxxTDFOIW8Q3mUlZfRtcmDkU0R1EcYqQi0ggKq\nkhJMyckYN25CVVtLfa9eVN14A/WRkaCSdjs/ZXN+A4vS66l3WEWiU8GcSB0jArQ0NlkpqraSX9VE\nQWUTBVWtH9daWl9j1IC/WUWAiwp/s2J/VOFrVFCrJNjojK7W7w/iypOvBeFIvh6EI/l6EI4669dD\nQkLCTqvVet42ElcqwJgOTDgjwBhitVp/ZX+uApKAOVar9chPBRiOBg0aZN2x4ydPuSqlpKQQHx/f\n0dMQ7a2hlhN/HMinGWGYvcfz8Lu/QnUBPzRezV8PDZYGPkj/gPd/fB8XrQvPDH4G/1P+rFm9msb6\nRmIbQokNjsL79nA0XrbAxlJRQdnX31D68cc0FhSgCw7Ga859uE+bhspo7OA7unot2Z3Hm6syyCur\nIdDDyNMTwrllYOBPvsZqtXLydB1ZhZVkF1WSVVjZ8nFhRV3LeTq1imAfE2H2So2efi6E+boQ6mvG\npLtShXji57iavz+IK0u+FoQj+XoQjuTrQTjqrF8PiqJcUIBxpd65Hge6OTwPAvIdnrsCkUCKvfy5\nK/C9oig3ny/EEOKqoTXQdeRteBzeQ3nZLo6mFRPS37ejZ3VJtGotj/Z/lBt73Mi8zfP4/cbfMypw\nFL+9/7fsSN7BtoyD5BwvZMzbBYRMjMJleABqV1e875+L1733cHrVakoXLuTE/JcoWvAOnnfNwvOu\nu9D4+HT0rV11bhkYyC0DAy/qHx1FUejqbqCru4FRvZz/TMtrGsguqiS7sJKsokqyC6s4eKKCVftO\n4LhRTqCHsWUZSvOylJ5+LniZdbIcRQghhBBCXFWuVICxHeilKEoIkAfcCdzVfNBqtZYDLe++L7QC\nQ4irTsx9xC7/lsQTCjuWpRLS/+aOnlG7CPMI46OJH/FFxhe8s+sd7j55N0/EPMEd0XewYtlyvqve\nSvSKAobu7Y/vHRFo/UwoWi3uU27C7abJ1OzYQcnCRRS/909K/vMBbjdPxXvOHPQ9e3b0rV2z3I1a\nYrp7EtPd02m8rtHC0ZJqW6WGPdzIKqxk++FSahpa16N4mLS2UOOMqo1AT6MsRxFCCCGEEB3iigQY\nVqu1UVGUx4FVgBr4r9Vq3acoysvADqvV+v2VmIcQl51vb/pGhpFyUsXxAxs5XXIjbt7XxrIJtUrN\n3X3uJi4ojpdTX+bVba8S4xfDc/c9x8HUg+zZs4cjhUWM/msevcf2xzUuCEWtQlEUTIMHYxo8mLrD\nhyn98EPKv1tC+TffYh4zGu+5czENGya/7b9C9Bo1vbu40ruLq9N4U5OV/PIasouqnJairD1wki93\n5Dq8XkWboM/jAAAgAElEQVSIj9kp1Ojp50KIjxmDVn2lb0cIIYQQQlxHrtjiZ6vVuhxYfsbYvHOc\nG38l5iTE5aAbNpfw7W+zvzyDH5OyGDU9qqOn1K6CXIN4/8b3+T77e97Y/gZ3r76bXwz4BbP6zWLF\n0uX8cHonfZJOMOLHaLpM74cusLWJkD4kBP/58/H9zW849fnnnPr0M47NvR99RIStT8bkySg6XQfe\n3fVLpVII8jQR5Gkirrfz0qdTVfUtPTaaH/ceL2NZWgHNbZQUBbp5muyhhnPA4WGSv1MhhBBCCHHp\npHubEO2tz1Ri/f/A/nJP0hLXMvy2fqjV19YuHIqiMK3nNEYGjuTVra/yzq53WOW1ihfueoH8Pfls\n2bKFY2UljPxHPv1GD8RtXHcUbeufgcbTE9/HHsP7gQc4vXQpJYsWUfDscxS99Tae99yD58wZqN3d\nO/AOhSNPs45BZi8GBXs5jdc2WMgpqrL32KhsedyYVUx9Y+uWKj4uOsIctnwNs4cbAe4GqbwRQggh\nhBAXTAIMIdqbRo/fiNvxOrybU+W7ObyniJ6xXTp6VpeFj9GHt+LfYu3Rtfxp65+YvXo2c/rNYfbc\n2axYuoLVxXvJ3nSCUWnRBEyPRB/sHEqo9Ho87rgD99tvp2rjRkoXLqTorbco/uc/8bjtNrzum42u\nW7dzfHbR0QxaNX0D3Ogb4OY0bmmycvxUdWvVRqEt5Fj2YwHlNQ0t55l0akJ9WxuHNi9H6eFtRqe5\ntkI/IYQQQghx6STAEOJyiJ3LoOXfsPqEih0/bKJn7G0dPaPL6oYeNzC462De2vkWH6R/QKJbIvNu\nm0dVZhXr168nryqFof/OY8CQGNwnhqDSO/dKUBQFl9GjcRk9mtqDBylduIhTX37Jqc8+w3XcOLzm\nzsUUM7CD7k5cLLVKoYe3mR7eZsZGtIZ3VquVkqp6px4bWYWVbD9yiiV78p1f72UizCHUCPM1E+bn\ngptB2xG3JIQQQgghrgISYAhxOfj0JCK6F4mFKgoObaKscCIefqaOntVl5a5356URLzExeCIvpb7E\n/WvuZ2b4TGY/MJs1y9awLn8/2TtOMmZ/NN3viMbQy7PN6xgiIgh4/TV8n3qKU598wqkvv6RizRqM\n/fvjNXcurjfegKKWZpGdkaIo+Ljo8XHRMyzU2+lYVV0jOUVVZ/XaSMkopMHSuu9rFzf9WTuj9PRz\nwc9VL8tRhBBCCCGucRJgCHGZaIfOpc+2N0kvU9i7JpO4uwd09JSuiOEBw1l882Le3fMun+z/hJTc\nFF6Y+AJR+VEkrk3kq7r1DF6Ux6D+sXhOCUVlavs36toufvj99il8Hn2Esu+WUPrhh+Q98QTaoCC8\nZs/G4/bbUJnNV/juxOVi1muICnInKsh5mVGDpYncUvu2r807pBRVsnhXHpV1jS3nueo1hLb02Ghd\nltLdy4TmGutBI4QQQghxvZIAQ4jLJWIKgwKeJ73Mh/R1axk1Ixq19vr4QcqkNfHM4GeYEDyB+Zvn\n83jy40wOmcwvHvwFG1ZvIDUnk+z0k8RlRhF6ywCMkT7nvJbKbMbrnrvxnHUnFYmJlC5cxMlXX6Xo\n3XfxnDkDz3vuQdvl2uwxIkCrVhHq60Kor4vTuNVqpbCizqlaI7uoko1ZRXy767jD6xWCvc1nVW2E\n+Zkx6eSfQCGEEEKIzkTevQlxuWj0eA+fjk/ODkoq9pC16wThQwM6elZXVH/f/nw15Sv+k/Yf/pX2\nL1LzU/m/kf9HVHQUq1as5Nu6zQz8PJ+hfWLwntYbteu5t9tU1Grcxo/Hbfx4avbsoWThIko++C8l\nCxfhNnkS3nPnYujT5wrenehIiqLQxc1AFzcDI3s6B2Cnaxtsu6M49NrIPFnBmgMnsTS1LkcJcDe0\n7IjiGHB4m3WyHEUIIYQQ4iokAYYQl1PsHAYv/4IVBWp2/LCR8KEzOnpGV5xWreUXA37BDT1u4MXN\nL/LsxmeJC4rjtw/8lh0pO9i5fx85hwqJeyuXXlNjMA30O+8Pj8YBAwh6ZwH1x49T+uFHlH37Lae/\nX4pp2DC8587BPHo0iur6qHYRZ3MzaBnQzYMB3TycxusbmzhaUnVG1UYVX27Ppbre0nKeu1Hb0jjU\nsWojyNOEWiXBhhBCCCFER5EAQ4jLyTuM3tERrD2pUHg4ldL8m/AKuD77NvTy7MXHkz7m0wOf8u6e\nd5l1chZPxT7FzOiZLF+6jP9VbaXf4gJG7o7B9/Y+aDz0572mLiiIrs//Ht9fPU7ZV19R+vEn5D7y\nKLqwMLzm3If7zTej0p//OuL6oNOo6NXFlV5dXJ3Gm5qsFJyuJfuM3VGSDhby1Y7W5Sh6jYoQH9tu\nKLZeG7bHUF8zBq00lhVCCCGEuNwkwBDiMtMMmUvfba+x9xTsXnOAcfcN6ugpdRi1Ss3sfrNJ6J7A\nS6kv8cctfyS2SyzPz3meg1sOsnPnTo4eK2L027n0nTQI85CuKBfwG2+1mxveDz6I1+zZnF65kpKF\nizjxwjyKFryD512z8Jw1C42X1xW4Q9EZqVQKgR5GAj2MjOnt63SsrLreqVojq7CS9LxylqcVYLWv\nRlEUCPI0tjQODXN49DSfe1mUEEIIIYS4OBJgCHG5RUwhJvB59p7y48CGRMbMGohWd33/trabazf+\nfeO/WZK1hDe3v8msVbN4bMBj3NvvXpZ9/wPLy3aS9UM+o3bH4j+9H1of4wVdV9HpcL/5ZtymTqV6\n61ZKFi6k+G/vUvKvf+M+bRpec+5DHxp6me9OXEs8TDpie3gR28M5AKttsHC4uOqscGNzdgl1jU0t\n53mbdYQ5hRq2ZSkB7kZUPxHOLdmdx5urMsgrqyFwSxJPTwjnloGBl+0+hRBCCCE6AwkwhLjcNDq8\nhs2gS/YWCqv2cmhbAX1HBXX0rDqcoijc2utWRgaO5E9b/sTbO99mpddK5t01j4K9BWzevJnck6sZ\n8c4xBtwwBJdRgSjqC+s/oCgK5mHDMA8bRl12NqWLPqR8yRLKvvoKl/h4vObOxTRksDRqFD+bQaum\nj78bffzdnMYtTVbyy2qcGohmFVayIr2AsuqGlvOMWjWhzT02mpej+LnQw9vEirQTPLc4jZoGW1+O\nvLIanlucBiAhhhBCCCGuaxJgCHElxN7HoOWfsCxfy45lG+g7alZHz+iq4WfyY0HCAtYcXcOrW1/l\nnpX3cH/k/cx5YA4rvl9OYuGPZK0tIG5vDN1mRKPtenE9RPRhYfj/8WV8n/gNpz77nFOffcax++7D\n0LcvXnPn4DZxIopWe3luTlx31CqFbl4munmZSIjwczpWUlnnVK2RXVTJjiOn+N+efKfXA067pQDU\nNFh4dfkBEiL8cDNoJHwTQgghxHVJAgwhrgSvUHr174fuJJTkbqHo2BR8u7ue/3XXCUVRGB88nqH+\nQ3lz+5v8O+3frHFbw/zb5lN9qJp1ySl8UZrIkHePMWjMUNzHdkfRXNwuIxpvb3x/9TjeDz1I+f++\np3TRIvKffobCv7yF17334DFjBmpX+TsRl4+3ix5vFz1DQ72dxqvrG8kpsi1HyS6s5K9JWW2+vrCi\njv4vrUanVuHjosPHVY+Pix5fFz0+rjp8XPQt//m66vB1MeBmlLBDCCGEENcOCTCEuELUg+8ncusr\n7Cq1snv1PsY/OKyjp3TVcde788qoV5gcMpmXUl9i7qq53BlxJ3MemcuaH1azMfcAORtOEPfjQEJm\nDkTX7eIDB5XBgOfMGXhMv4PK9espXbiIwjf/H8V//wce0+/A897Z6IKkTF9cOSadhshAdyID3QH4\ndlceeWU1Z53nadLyy4SeFFXWUVxRT3FlHSdP15KeV05JVf1ZVRsAOrUKb5fmcENnDzfsQYerbczX\nHnp4mLQSdgghhBDiqiYBhhBXSsRNDAz8PbtKrWSkJhF/zyB0BvlfsC0jAkfw3bTv+Ovuv/LZgc9I\nzk3mhfEvEHUymtWrVvN1ZQox7x9j2LBheIwPQfUzmqIqKhWu8fG4xsdTs28fpYs+pPTTzyj9+BNc\nJ4zHe+5cjNHRl+HuhPhpT08Id+qBAbaeGS9O7XfOHhhNTVbKahoorqyjuKKOoso6iirqKK60BR3F\nlbaxAwUVFFfW0dhG2KFVK3ib26rmcAg67OGHh1H7k01IhRBCCCEuB/npSYgrRa3FY9hM/LM2UlD1\nIwe35BMd372jZ3XVMmlNPDvkWSYGT+TFzS/yy6RfMjV0Ko89/BjrV61nW1YmOdtOEp8+gJ7TYzGE\nefzsz2Xs14/AN9/A77dPUfrxx5R99TUVK1ZijI3Fa859uI4di6K+vneOEVdOc0jRsguJh/G8u5Co\nVApeZh1eZh29u/x0ZVJTk5Vye9hRVGkLOWxhhy38KLaPZZywhR0NlrPDDo1KcajsaK7osIUcLRUe\n9qoPT5NOwg4hhBBCtAsJMIS4kmJmM2j5hyzN07Nz+Tqi4u7p6Bld9Qb4DeDrqV/zrx//xQdpH7Ap\nfxPPjnyWOwbcwfIflrO4diPRC3MZOWAY3lN6orqEqhZt1650efppfH7xGOXffkPphx+R96tfo+3R\nHa/Zs/G49VZUJlM73p0QbbtlYCC3DAwkJSWF+Pj4dr22SqXgadbhadbR6zxhh9XqEHZUOFRzOAQd\nxZV1HDpZQXFlPfWWprOuobaHK75tLFvxsffqaK768DTpWhqZCiGEEEKcSQIMIa4krxDC+kejP9FE\nWd42Th65uaNn1Cno1DoeH/g4N/a4kRc3v8gz658hvls8v3vwd+xct5M9aT9y+MdC4g5G0eeOoRgj\nvC7p86ldzHjddx+ed99Nxdq1lCxcyMk/vkLxX/+Gx5134nn3XWj9/M5/ISE6OUVR8DDp8DDp6Hme\nL3mr1crpmkZ7VYdjRYdDhUdlHdmFlRRV1lHfeHbYoVLAy2wPOVz1TqGH85IWPV5mCTuEEEKI640E\nGEJcYerB9xO99UW2lzSxe1U6xoiOnlHnEe4VzieTP+HTA5/y7u53ufPEnfx20G+5O/pufvjfUr6v\n3MqhT44zps8w/G6JQG2+tO1RFY0Gt4kTcZ0wgZrduylduJCSf/2Lkv/+F/ebbsJr7lwM4b3b6e6E\n6NwURcHdpMXdpKWnn8tPnmu1Wqmoa7QFG2f06miu8CiqrCenqIriyjrqzhl2nBlsOCxrcW0NQrxM\nOjTqi9u5SAghhBBXHwkwhLjSwicxIPBZtpcoZKQmod0zkqOrNzF8Whi9h3bt6Nld9TQqDff1u4+E\nbgnMT53PS6kvMaTrEH4/5/dkbstk67atHMv8gdF/OUz0tOEYo30ueWcFRVEwxcRgiomh/uhRSj/8\niLLvvqN8yRLMI0bgNXcu5lEjZQcHIS6Qoii4GbS4GbSE+Z4/7KisazyrkqPYHnI0jx0psYUdtQ1n\nhx2KAl4mXcuyldbtZ1t7dTSHIN5mCTuEEEKIq5UEGEJcaWotJ/wfR0nfiqV2G5bardSWu7L6P6OB\n2yTEuEDd3brzwfgP+PbQt/xlx1+4c+Wd/HLAL5kTOYcfvlvKylO7OPRNHvG7hhJwez/Ubvp2+by6\nHj3oOu8FfH/9K059+RWnPvmE3IceQt+rF15z5uA2dQoqna5dPpcQwhZ2uBq0uBq0hPiYf/Jcq9VK\nVb2lZSeW5qakRc0VHvbxXcdOUVxR77TTS+vnA0+Tzrmaw7HCo3lpi4sebxcdWgk7hBBCiCtGAgwh\nOkDyThXWpjLA3t2/qYK606tJ/kRD76EPd+jcOhNFUbij9x2MDhzNK1tf4S87/8JK75XMmzWPk+kn\n2bBhA3lHVjD8rcPETh6BeXDXdquSUHt44PPIw3jNncPpZcspXbiQguefp3DB23jdfTceM2ei8fRs\nl88lhLgwiqLgotfgotcQfJ6wA6CqrvGsZSvFjlUelfXsyS2juLKO6vqzww4AT5P2rGUrzYGHY7NS\nb7Menebiw44lu/Nad6TZknTeHWmEEEKIa5kEGEJ0gMrSdcCZb4YbqSxOBiTAuFhdzF34a8JfWXV0\nFX/e+mfuXnk3D0Q9wAMPP8CyJT+QfDKNrKX5JOwaQvcZ/dF4Gdrtc6t0OjxuvQX3W6ZRtXkzpQsX\nUbTgHYr/+T7ut96C9333oQsObrfPJ4RoP2a9BrNeQw/v84cd1fWNFFfUtzQpdV7OYqvwSDteRlFF\nHVXnCDvcjdqzenX4OvTq8HGo7NBr1CzZncdzi9NaKkXyymp4bnEagIQYQgghrksSYAjREZoqzjm+\n+j/pjLyjF2aP9lnycL1QFIWJwRMZ1nUYb2x/g/d/fJ81R9cw/9b51B6uJXFtIp8XrGbwgsMMu3EU\nriMDUdpxBwNFUXAZORKXkSOpzcykdNGHlH/zLWVffInL2LF4z52DMTZW+mQI0UmZdBq6e2vo7n3+\nrZRr6i32pStt78RSXFnHvvzTFFfUUVHX2OY13AwaqustNDZZna/dYGH+9/swaFW42vuIuBk19mU2\nGlnSIoQQ4pomAYYQHcCoUVHTRld9gIzUtRxOK2LYzT2Jig9EJW9GL4qHwYNXR7/K5NDJvJz6Mvet\nuo+7+tzF/Y/ez5qlq9l87CDZawoYu3sQoXfGovU7/w8jF8vQuzcBr/4JvyefoPSzzyj77HOOJiZi\niIrCe+4cXMePR9HIt18hrlVGnZpuXia6eZ3/+0ttg8Uh3HDu1fFR6tE2X1NW08Cjn+xq85hJp8bN\nHma4GbW42R9dDRp72KH9yeMGrfqS7l0IIYS4nOQdtBAdIMFvP6sKIrA4/GJNBXhoqyitXIvCftZ/\nHseBzb2Im9Ub/54eHTbXzmpU4Ci+m/Yd7+x6h88OfEbysWTmjZ9HdFF/Vi1fyZelSQz82xFGxY3G\nI6E7ymUIijS+vvj95jf4PPww5UuWULroQ/Ke+i3agAA8Z9+Lxx13oHb56R0YhBDXNoP23GFH4oFC\n8spqzhrv4qZn4ZwhVNQ2cLq2kdM1DZyubaDC4ePTNY1U1DVQXFlPTnEVp2tsx8+s6DiTTqOy7xCj\nwdUh4HBzCkBsFR9uxtax5gDEpFNLpZkQQojLRgIMITpAn+4G4CAbCoOpaNTjqqljtN8RItxLyAh7\ngpRN2VSd+pzio/359o0R9BkVyohbwzC6yu4WF8OsNfP7ob9nUsgk5m2ax6OJjzItbBqP/eIxNq7c\nwM7MAxxef5KEvTGE3zkEXeDlCRNURiOes2bhMXMmlcnJlCxcSOFrr1P87t/xmD4dr3vvoXrnTgrf\nXoBffj6HAgLwe/IJ3KdOvSzzEUJ0Dk9PCHfqgQFg1Kp5blIf+ga4XfT1rFYrNQ0WW7hR2xp0nD4j\nCGk9bhvLK6tpCUfqzlE92EytUhyqPTSt1R4XUP3hZtTiqtegasflfUIIIa4tEmAI0RHGzaPP0l/T\nx31765hGD+5hRGS/RWhUf1KVCezauA2V+hD7UkaQs3sAw2/tRb9RAe3au+F6MNBvIN/c/A3v732f\n/6b/l415G3l+5PPcGXMnPyxZyuKK9UT+8whxw8bgPT4URXt5lu0oKhWu48bhOm4cNWlplC5cROlH\nH1G6aBGoVGCxoACN+fkUvDAPQEIMIa5jzY06W3Yh8TBe0i4kiqJg0mkw6TR0df95zYxrGyxU1Dae\nv/rD4fjh4qqW4+dqcNo6R3DROQQbF1H90fyx9AERQohrlwQYQnSE6Bm2x8SXsZYfR3EPgnHzIGo6\npH+LbvULxFW8QeSNt5F4xJvcg2tRrPtI/iieA5vDiZvVG78eF//bt+uZXq3n1zG/ZnzweOZtmsdT\nKU8xrvs4fvfI79iVspNde3dzZOu3xKf3J3LmcPTB7pd1PsaoKALf+gt+eU+Rc/M0mqqqnI5ba2s5\n8cqf0Pr7owsNRePldVnnI4S4Ot0yMJBbBgaSkpJCfHx8R08Hg1aNQavG1/XnNZputDTZAxB75Udz\n6NESgDS2LHdpPp5XVsvB2grbeF0j1p9eBYNRq3au/jA6Nzs9qzrE6Dym16hkGYwQQlylJMAQoqNE\nz4DoGaw7801p1B3QeyJsfAvvzX9juk5HxsTZpGzNo+rU55w41J+vXx1BVHxPhk4LRW/SdtgtdEYR\nXhF8dtNnfLT/I/6x5x9sK9jG04Of5r4B9/H9t0tYWrmFjA+OMXbAKPymhKPSX96GdtrAQJqqq9s8\n1lReztF77gVA7eGBLiwMfWgIutAw9GGh6EJD0QYEoKjkt41CiM5Bo1bhadbhaf55SyKbmqxU1je2\nVnzYQ4+K2oa2A5DaBkoq6zlSXNVy7Lx9QNSq8wQgmjaWw7QeN1/GPiBLdue1VuRsSbqkihwhhOiM\nJMAQ4mqkd7FVZAy4G2XV74nI/Aeh4b1J1UxmV+oeFFUme1aP4NDOGEbd0ZveQ7vKb4sugkal4f7I\n+xnXfRwvbn6ReZvnMdR/KM/f/zyHth0idUsquT8uYdTBSGKnj8bQ2/Pyzsffn8b8/LPH/fzw/9Mr\n1OfkUJedQ11ONhVrE7Gc+qblHMVgQBcSgj4kBF1YKPqwMHShoeiCg1HppGeKEOLaolIp9iajWgI9\njBf9+uY+IGcueTmzD0jFGRUh+WU1LR9fTB+Qs/uB/HT1h5tBi4tBg7qNpaJLduc59UTJK6vhucVp\nABJiCCGuGxJgCHE18w6Du76EzNXoVv4fcSULiIybQOLxQHIzE6my7mf1f+LZv6kPY2b1xjtAdrS4\nGD3cevDfCf/lm8xveGvnW8xcMZPHBzzOA1EPsPTb/7GmdBeHPs5lXJ9RBN7SF9Vlqnbxe/IJCl6Y\nh7W2tmVMMRjwe/p3uIweDaNHO53feOqUPdTIpj7nMHU52dTs3cvpFStoqa1WqdB2C0IfGoYuNAS9\nQ9WG2k2WHwkhrk+OfUC6uP28PiB1jZazAg7HJS/Oy2Ns1SFHiqtbxs7XBwTAVa85K+DYlFXi1NAV\noKbBwss/7MfXVY9Jp8ZFr8Gk12DWqTHpNOg0UqEnhLi2SIAhRGfQezyExsGWf+C97k2maxvJGHcX\nKTtLqCr7nNz0KL58eRQDbgxn0E3B6Azyv/aFUikqZoTPYEzQGF7Z8gpv7niTlT4refGuFyncd5KU\nlBQ+zljKsL8cYtgtcZiifNt9Ds2NOgvfXkBDfj7a8+xCovH0RBMbiyk21mm8qaaG+iNHqMvOoT4n\nm7qcw9RnZ1O1cSPWhoaW89S+Pq2BRkio7TEsDI2fn1TyCCHEeeg1avQuanxcfn4fkMq6RofKD4cq\nEKcApNFeDdJAflntWeFFs9Kqeu7+z9Y2j+nUKkx6NWadBpNOjVmvway3hRvmluf2YzrNOY43P9dg\n0qulSaoQokPJTzlCdBYaPYx6EqJnoqyZR0TaQkJ7diNVO4Vd2/bT1JDF9h9GkLl9EKNnhBM60Fd+\nGL0IXc1d+dvYv7HyyEr+vPXP3LniTh6KeoiHfvEwyxb/wPoT6WR9lccNO0fQ4/b+qNt5S1v3qVNx\nnzr1khr1qYxGDH36YOjTx2nc2thIQ17eWcFG+dIfaKqoaH292YwuNBR9aKhTvw1d924oGvnnQggh\n2oNGrcLDpMPDdHH/jox8LYm8spqzxn1d9bw7ayBV9Y1U1Vmotj9W1TVSVX/m80aq6y2UVFbbPq6z\nUFXfSG3DTy+LcaTTqFoqPGwVH60BifNzW/hxzoCk+ZhWjUZCESHEBZJ3pEJ0Nm4BcPt/YND96JY/\nQ9zJ94gcPprEkwHkHkrkdMF+lv8jnuDofoy+szcefqaOnnGnoSgKk0ImMcx/GK9vf5339r7HmqNr\nmH/bfKKPRLNm1Ro+PbyCwW9lMXJKPC4xnaP3iKLRoOvRA12PHjA2oWXcarViKS5u6a9Rn51D/eEc\nqrZsofx//2u9gFaLrnt3e7BhDzhCbQGHyiRfX0IIcSU8PSHcqQcG2HZceX5yH4aGel/StS1NVqdA\no7rOQmVdoy38qLdQXddof9563DEQqaprpKiizun5+XqFONJrVC3hhlO1iK41EDE3L43Rt10d4hiW\nmHRt9xERQnR+EmAI0Vn1GAGPrIMd/8U76RWmazaTETeDlL1VVJV9zuFdURw/OJrYSRHETOiBRnd5\nd9O4lngaPHlt9GtMDpnMy6kvc++Ke7mn7z088NiDrF26mi1HMsj+XwHjdgyh58xBaDx+3jrqjqYo\nChpfXzS+vpiHDXU6ZqmspP7wYVufjewc6g7nUJeVRUVSElha3zxr/P0dgg17v42wMNReXp0i3BFC\niM6iuVFnyy4kHsZ224VE7dActb00WJqobqsCxB6SOFaLVNc7BCT2x4raRk6ernU6r95y4aGIUatu\nCTja6g/iolef8VzTxnKb1tDEpFWjklBEiA4nAYYQnZlKDUMegsjbUZL+SMSOhYQG+5CqvZldO23L\nSlIXj+DglsGMuTOC4Cifjp5xpzImaAxLpi1hwa4FfLz/Y5KOJTHvxnlElw5g+ffL+DI/kQFv5xA3\nIQH3YUEo19AbG7WLC8aoKIxRUU7j1vp66o8doy4np2V3lPqcHMq++Rarw3awand3224oZwQb2oAA\nFLWEaUII8XPcMjCQWwYGXtJywytFq1bhblThbmy/UKS+sYma+uYApLU6pKq+rYDk7OPlNQ0UlNVQ\nXW+rMKmqazzvtrqOmqs7zC1VIWc+d6weaQ5IbMGIi8NSmubnRu2lbbkr2+qK65EEGEJcC0xeMOVt\niJ1jW1aS+wGRg2NILOlHblYip3L3sfSdBHoOimbUjF64enXOioGO4KJz4Q/D/sDE4InMT53PI2sf\n4daet/LYY4+xadUGdh/cx+GVJ0jYOYi+s4aj9bn4bf06E0WnQ9+zJ/qePZ3GrU1NNJ44YeuvkZNt\nCzays6lMTqH8m29bX6/XowsOtu+I0rozii44GJX+5zXEE0IIcX3QaVToNCrc23FXsPrGpjYrQFqW\n0LRUiLSGIdXNAUmdhbLqevLK7AGK/bjlAkMRRQGT1hZ0nBlwmB2qQ8x6hyU19oBk7/EyFm46Qr19\nqcwYev0AACAASURBVE5eWQ3PLv6RpiYrt8UGtdufjxBXGwkwhLiW+PeH+1dC2td4r36B6ZpdZIy4\nhZT9tVSVfU5majpH00czZGo/+o/rhlq2V7tgg7oO4pup3/DPvf9k0b5FbMjbwPPDn+fu2LtZuvh/\nfFeynoy/HmZcXAJe8SEo6munGuNCKCoV2oAAtAEBMGqk0zFLWZlTxUZdTjY1P6ZxesVK521fg4LQ\nh4TYGojagw19aChqd/cOuCMhhBDXA1socvFNVc/FarVSb2lqWTZT7Vgx0rwcpjkocQhEWgOSRkqr\n6jlWWu1UTXIhmUhtQxNPfb2X575Lw2yv8LBVjagx2sMQo07dEowYdWpM2tZjZr3a/hr7MYfXmnW2\n68kyGtHRJMAQ4lqjKBA9A8Inoax/k4jUfxDazUxq2M3s3L2fmlNZbPhiBAc2DyX+rj4Ehnt29Iw7\nDYPGwBOxTzA+eDwvbn6RJ1Oe5MYeN/K7R3/HnpRdbNu9g6PrvyRu70AG3jUabVdzR0/5qqD28MAU\nE4MpJsZpvKm21r7tazb1OYdbGolWpaZira9vfb2Pj71xaIhtOYq9kaima+dooiqEEOL6oSiKbatd\njRovc/uFInWNTU6ByKQFGzhXpnHfiGCq7Q1VbUtuLNTU23qK1NRbWnqTVNdbLmoJDYBBq7IFHM3h\niL0/SGtI0tp3xDbm8LE9HDHp7edpW4MSCUfEhZIAQ4hrld4VbnwZBt6LbuWzxGV9ROSAviSWDSA3\nJ5Hiw/tY/GY8ESMGMuL2npjdpXz/QvX17stnN33Gh/s+5L0977G1YCtPD36auQPm8v03S1h+eguZ\nfz/CDcMT6DK+F4pUurRJZTBgiIjAEBHhNG61WOzbvjoHG6eXr6Dp9OnW15tMtiqNsFB0IfZ+G2Fh\n6Lp1Q9G2X3mxEEII0ZEURcGgVWPQqmnebybAw9jmtrqBHkZ+P7nPWePn0txXpLqhNfBwDDiq7eFH\ny8cNtuqRlvMabMdPnG5o6U/SfJ2LDUeMZwQhRl1rONIclDhXhtiW2RgdQpPm42aHKhKDRsKRa4kE\nGEJc63x6wd3fQOZKvFc+y3TdZ2QMmUBKRg1V5V+wb106ObvjGH5bJJFjAlHJXuwXRKvS8mDUg4zr\nPo75m+fzwqYXGO4/nD888AcObc1kU+pmFm39hpFpUQyZFY++u1tHT7nTUNRqdN27o+veHRLO2Pa1\npMTeODTb1m8jO5uqrdso/9/3rRfQaGzbvtqDjeZ+G7qQENQuUhUjhBCi8zvXtrpPTwi/qOu09BWh\n/YP/M8ORavsSGlvo4RyOVDl87BiOVNc1UlDeQE2Dxamq5FLCEfNZS2TsQYm+tYLEOUw5d1ByqY1Y\n29P10tRVAgwhrgeKAuGTIDQBJfVvRGx4i9BASA2+mZ1pB6guzSb5oxHs3zSc+Lv60DVUeg5cqBD3\nEBZOXMhXGV/x9s63uWPZHfx64K95qP9DfP/VEhJLd5H576OMHxhP4JS+qGQ7259NURQ0Pj5ofHww\nDx3idMxSWUX94cOtwYa9kWhFcgo0Nracp+na1b7taxj60JCWRqJqb++r5g2IEEIIcT6Xc1vd9nK5\nwxHnKhHncKSqrtEeejgHJWdWiZRVO4QjdbbQ5EKbsILtLbZT2GFfFmPrJ+K4lOYcy2scgxWnviUa\nDFrVBb83WbI7zynQyiur4bnFaQBX1ddEe5AAQ4jridYAY56G/rPQrX6BuH1fEBkZRuLpQeQeSeRE\nxj6+fjWeyLhYht/aE4OLlOFfCJWi4s6IO4kLiuPlLS/z+vbXWeG7gvn3zKdoXyFJyUl8tHcJQw9m\nMHLGOIw9pe9Ie1O7mDFGRWKMinQatzY0UJ+ba1uOkp1D/WFbI9Hyb7+lyWHbV5W7u72B6BnbvgYG\nyravQgghrkqdaVvd9tbafLV9r9vchLV1KU1r6OG4vMYxHKmuc6wqaQ1HTlXVOD2/lHDk7MqP5h1p\nbB9/vSPXqRoHoKbBwpurMiTAEEJcA9yDYPpCGHQ/3iueYXr9l2QMHENKdjVVp79g75p0snYmMHJ6\nFH2G+6PIusEL4u/izz/G/YNlh5fx+rbXmblsJg9HP8wjjz3Ksm+WsvFEOlkfHWd8xGiCb+uPyiDf\ngi83RatFb9/NhBtbx61WK40nT7YEG3U5tn4blevWU/7t4tbX63TogoPPCjZ0wcGoDLIdsRBCCHEt\ncWzCejnDEcclM+ftPXJGOFJdb6G0qsapqqSirrHNz5nfRp+Uzk7ePQtxPQsZDY9sQNnxARHJfyI0\noIbU7lPYuf8AlYVZrPnPSPZvHEncXX3w7eba0bPtFBRFYUroFIb7D+f1ba/z9z1/Z/XR1bx0+0tE\nHx3AqhUr+TRjGTFvZhB3+4249PXt6ClflxRFQdu1K9quXWHkGdu+lpc7bftan51N7b79VKxaDU1N\nzRdAGxjYEmw4bfvq4dEBdySEEEKIq9nlDEdGvpZIXlntWeMBHsb2/URXAQkwhLjeqTUw9BGIvB1d\n4svE7fqIyD6BJFYOI/doIsfT0vny5QT63zCEITeHojfKt40L4W305o24N5gUMolXtrzCPSvu4d4+\n9/Lgrx4icckath/JJPuLfMaHjqDX9MHUZp7i9KojhJWpKNiyDbcJwZgH+nX0bVyX1O7umAYOxDRw\noNN4U10d9UeOtAYb9n4b1Vu2Yq2ra329t7d9OUpYSwNRfWgIGn9/6bMhhBBCiHb39ISIdmnq2hnI\nTyJCCBuzD9z8V4idY1tWkvsNGZFDSTlqW1ay84c0MreNY/Sd0fQa1EV+ELtACd0TGNR1EG/vfJsP\n939I4rFEXprwEv1LB/DDkqV8eXg1kW9k4GExsVt1mEp9LS7VBgZ/15NBjJEQ4yqi0usxhIdjCHd+\nM2C1WGjIz28JNlq2fV25kqby8pbzFJPJFmw0b/1qr9jQde+OotM5XbN86VIK316AX34+hwIC8Hvy\nCdynTr0i9ymEEEKIzqUzNHVtLxJgCCGcBcbA/atRfvyCiDUvEuq/k9SgCezMOEB5QTYr/j6CfdFj\niJvVBy9/2ZLyQrjqXJk3fB6TQiYxf/N8Hlj9ALf3up3HfvUYm1dsZM+BH0EN2DOhSqWW9db9KMvU\njBl4a4fOXZyfolaj69YNXbduuMTFtYxbrVYspaW2Phs5h1uCjeqdOzi9dGnrBZq3jbUHGo2nyzn9\n3RKs9fUoQGN+PgUvzAOQEEMIIYQQbbpemrpKgCGEOJtKBQPugogp6Na9TtzWfxLZ24vEyhHkHk/i\nyK595B0cS+ykYQyaHIxWL7s0XIjBXQfzzc3f8N6e9/hw/4dsOL6B54c/j2G/llqlwelci9LEtvoM\nxnTQXMWlUxQFjbc3Gm9vzEOct31tqqqi7vAR+zKUHHsj0Rwq161z2va1mbW2loIX5lG9fQdqby80\nXt6ovTzReHuj9vKyPXp4yI4pQgghhLimSYAhhDg3gxtM+BPEzMZ7xf8xPXsJGRH9Sclzoar8c7Yu\n/pGDW24gbtYAQvr7yLKSC2DUGHlq0FNMCJ7AvM3z+E3yb7hdub3NcyuVWtb8+Wv6RPbFL7YHWn+z\n/BlfI1RmM8bIfhgj+zmNWxsaOBjdH6xnb7Nmra2lIikJS2lpazNRR4qC2tMTjbcXai/vn3709kZl\nlq8nIYQQQnQuEmAIIc7PNxzu/Q7l4DIiVj1HaFM6qf5j2Zl1gFPHslm6YAShgxIYMzMCd99rr9vx\n5dDPpx9fTPmChekLyT16DHXT2d+OFUVhU90+Nu3ch+92N0L0/vTt04eAwWFog1zkh89rkKLVovH3\npzE//6xjmoAAeiUlYm1qwlJejqWkhMaSUiylbT/W7ttPY2kpTRUVbX8unQ61tzcaL6/Wqg7HR8fq\nDi8vVGf06RBCCCGEuNIkwBBCXBhFgT5ToOc4dJv+StzGt4gMM5JYPYrcvCSyUvdxLH0cQ6YOZ+D4\n7mi0Usp+PlqVloejH2bmlplE5IejoGo5ZqWJzKAs/nrLX9m/N539P+5jW3kG237MwHOPmRCtPxHh\nEXQf0gt9dzcUlYQZ1wq/J5+g4IV5WGtbt0NTDAb8nnzC9rFKhcbTE42nJ/qe579eU309ltJSGktK\nsJSeOivoaCwtwVJSSl1WFpbiEqz19W1eR+Xqag87zl/doXZ3R1Gp2ryOEEIIIcTPJQGGEOLiaI0Q\n/38wYBbeq55n+v7vyejVh+QCM9WnPmPTF3s5sPFG4u8dSPe+3h09207hgP4Ap31OE3kqEpPFRLW6\nmnTPdI5rj/PeofdIiEjg/viHqK6o5sCP+9m/J43dpVns2p+Fa7qBEI0/4WG9CRsWgT7EQ8KMTq65\nUWfh2wtoyM9He4m7kKh0OlRdu6Lt2vW851qtVpqqqu3hRolD8FFqCz1KSmgsLaX+yFEad+3GcupU\n28tZVCpb9cZPVHe0hCFeXigmk1QUCSGEEOK8JMAQQvw8Ht1h5scoOSlErPg/QpU1pDaOYueRAxQf\nyea7N0bQe/g4Rs8Ix8XT0NGzvap1NXflOMc57nrcadygNrA0ZylfZX6FWWtmZMBIEroncMfQO9E0\najiYvp99u9JIP3mUHw8dxpiZTLCqC+Ehveg1tC+mnl4oavkteGfkPnUq7lOnXvFO4oqioHYxo3Yx\no+ve/bznWy2WNpezNFd1ND/WpKdhKSmlqbKy7c9rMDgFGm1WeXh52sY9Pc/adlYIIYQQ1wcJMIQQ\nlyY0Hh7diG7bv4lL+TORoVYSq0aRW5DEwfX7OLznBobfOpLocUGo5YfpNv0m5jfM3zyfWkvrkgGD\n2sD8EfO5occNbC3YStKxJFJyU1h9dDUaRUNsl1gSuidww70T8dJ4kbk/g307f+RQ/hEO5OSiz15P\nd8WP3t16Ej40EtcIHxSN/PmL9qWo1WjslRb6Xuc/v6murrWa48zeHfbqjsaiImozMrCUlGBtaGjz\nOio3tzMCj3P37pDlLEIIIcS1QwIMIcSlU2th+GMQNR3vxPlM3/UJmaYwkk4YqS79lHUf72HfxgmM\nvTeGgF4eHT3bq85NoTcB8M6udyioKsDf7M9vYn7TMj4maAxjgsbQZG0irTiN5GPJJOcm89q213ht\n22tEeEWQ0C2BhNsSuN11JtmZWezbvpdDuYc5lJvPqmMb6YYvvQND6TMkCvd+XVCkR4noACq9HpW/\nP1p///Oea7VaaaqsbA02SpyrOlp6dxzOwbJjB5aysjZ3b0Gttm05ewE7s2i8vFCZTJfhzoUQQgjR\nHiTAEEK0HxdfmPZ3lNj7CV/+O0LUiaTWDWVn7gEKD2Xz9Z9G0DduPCNv743JTUrAHd0UehM3hd70\nk0sGVIqK/r796e/bnydin+Do6aMtYcY/9/6T9/a+h7/Zn/hu8SRMSGCK763kHT5O+ra9ZBw5xOH8\nVNZ8t4XA77zp1TWEvoOi8IoORKWXMENcfRRFQe3qitrVFV1w8HnPtzY2Yikr+8mdWSwlJdTnHsdS\nUkJTdXXbn9dovODqDo2nJ4pW2853LoQQQohzkQBDCNH+gmLhwUR0ez4lbu18ItXVrK0axfGTSaSt\nSSdrx3hGTR9FvzGBqKTh5M/Ww60HcyLnMCdyDiU1Jaw/vp6k3CS+O/Qdnx/8HFetK6ODRpMwKoFf\nTP8lpwpKSd+6l4PZmSSd3E7yD9vp8oMnvXx60C82Cr+YHqgM8s+C6JwUjQaNjw8aH58LOr+ppsa2\nnOUnqjsaTp6kdr9tO1oaG9u8jtrd/ad7dzg8qtzcLrpZafnSpRS+vQC//HwOXWJDVyGEEKKzk3eq\nQojLQ6WCmHuhz1S8173OjC3vk2kMIqnQSHXxJyR+sJv09ZMYOzuGLsFuHT3bTs/b6M2tvW7l1l63\nUtNYQ2p+Ksm5yazLXcfyw8vRqDQM7TqUhP4J3HXTPVhPW0lL3UPGoYNsKNnDhtV78F3pRk+vHvQd\nEEngkFBUJvnNsrh2qYxGVIGBaAMDz3uu1Wql6fTp81Z31B06RPWWEizl5W1fSKM5d3WHY5WHpxca\nby8q1q5t2VJXARrz8yl4YR6AhBhCCCGuSxJgCCEuL6MHTPwzSsxswlc8Q4h+LanVsew8foCCA1l8\n8dJIom+YxPBbemIwyw/M7cGoMTK2+1jGdh+LpcnC3qK9JB1LIjk3mVe2vsIrW1+hn3c/EnomMGHs\nTXjUe7B/248cOHiQ1LI0UlPS8EwyE+bRjb5R/eg+rDcaV31H35YQHUZRFFulhbs7hIac93xrQwON\np06dsQ3tmVUepdQfOUJjSQnW2tq2L6QoZ/X1sNbWcuKll2koOIHKxYzaxQWVi6vDxy6oXF1Rm82y\nW4sQQohrjgQYQogrw68PzP4e3YHviVv1PJHaYtZWjOR4URK7l6WTuWU8Y2bFETGsK4osK2k3apWa\nmC4xxHSJ4beDfktOeQ7JuckkH0vm3T3v8u6edwlyCSKhewIJgxMI1YVycFs6B/YdYOfpg+zYdBDX\njQZCXYLo268vYSP7onGXbXGF+CmKVovWzw+tn98Fnd9UXU1jaelZ29EWvf122+dXVlL01lvnn4dO\nZw80XFCb7eGGiwtqVxdUZz53sY21fNx8TIIQIYQQVxEJMIQQV46iQN9p0PNGvDctYMaGBWQafUgq\nMlBZ+Amr3ttN+rqbGDs7Bu9Al46e7TVHURTCPMII8wjjwagHKaouIuV4CsnHkvni4Bd8vP9jPPQe\njAkaQ8IdCUxzu53Du7M48OM+0spy2LstC+PWlYSaAokIj6D36Ej03uaOvi0hOj2VyYTOZIKgIKfx\nU19+SWN+/lnnawL8CVu+nKaKCiyVlTRVVtFUVYmlosL2cWXl2c8rK7FUVtKQl0edw3MslvPOT9Hr\n7YGGGbWLa2u44WK2V3+4tF0N4mo/ZrY9l4anQgghLpUEGEKIK09ngoTfowy4i/BVzxOyfzmpFdHs\nLDhA7t4sPn1hFAMnTmbozWHopKnkZeNr8mV67+lM7z2dqoYqNuVtIjk3mZTcFL7P/h69Ws8w/2Ek\nTE7gAb9JFKUXsH9POhnFx9i35zC63WsINvjTp1c4EaOjMXaRXiZCtCe/J59o6YHRTDEY8HvySVQG\nAyqDAY2v78++vtVqxVpb2xJmOAYdTRWVrUGIw3NLlS0wacjNpa6yEkuVLSC5oCDEYGip6lC1BBzm\n1uoQV5fWZTDmM567uNoCE7NZghAhhLiOyU8GQoiO4xkMd36KLiuRuJXPEmnIYG35MI6XJLJ9SRoH\nN00g/t54esb6XXTnfnFxzFoz44PHMz54PA1NDew+udu21CQ3mXXH16GgEO0bTUJcAjMCZtKQU8u+\nHWlkFx4hMz2XZWlJdNd1ISK0N31GDcC1m2dH35IQnV5zo87CtxfQkJ+Ptp13IVEUBcVoRGU0XnoQ\nUlPjVA3iVB1SWYml8sxqENvzhmOltiDEPk5T0/nnbTCcZ1mMGbWr69nPHZfJmM0oGnkbLIQQnY18\n5xZCdLye4+DRTXhve58Zya+TaTKTWKTn9ImPWfbOLrpFT2Hc7Fg8upg6eqbXBa1KyxD/IQzxH8Iz\ng58h81QmybnJJB1LYsGuBSzYtYBgt2ASBicwIXASphN6DuxI51BBDjkZ61h5cD2BWl/Ce/Si38gB\neIT4SAAlxM/kPnUq7lOnkpKSQnx8fEdPp02KoqCYTKhMJriwth9tcg5C2qgIaa4GqayiqaLC6Xn9\nkaMt1SEXHIQYjWcsi3FcBnOOZTGO1SD254pa/fNv+iLJtrpCiOudBBhCiKuDRgcjfoUSNZ3wtS8R\nsvsLUsv7sfPkAY7szOKjg6MYPGUKg24KRau7cm8Wr3eKohDuFU64VziP9n+UE1UnWpqAfrz/Yxbu\nW4iXwYv4fvHET4gnsMKfzG37yDyezdrsTSRmbaKr2ovwbj2JHN4f7/AACTOEEG1yDkJ+fhJitVqx\nVldjaa4GqTxPf5CqSiz2JTL1xSW2IMT+/MxdYNqct8nktCzGttTljGUx5jMaprb0EWleMmM+bxBS\nvnSpbKsrhLjuSYAhhLi6uHaFW99DN2guccufJtK0jTWnhpB3KpHUr9PYv2EiY+eMJSTap6Nnel3q\nau7KrIhZzIqYRUV9BRvzNpJ0LInVR1az+NBijBojw3sMJ35UPH0bwzmyM4uMI1mkHN1GytFt+Cru\n9A4Mpd+QAfhHdpcdZ4QQ7U5RFBSzrV/GpZSEOAUhlRUOvULafu64ZKaxqMj+ugsPQlQmU9vhhr0a\npHzxd2dtuWutreXk629g6NMHlclkqyqx9wmRsFgIcS2SAEMIcXXqNgQeSsJ798fMXPsymWYVicU6\nyvI+4n9v7iQkdhoJ9wzEzcfY0TO9brnqXJkUMolJIZNosDSw/cR2knKTbMtNcpNQKSoG+g0kYWAC\nY9XjKNyTT0ZOJpuO72bT8d14fudC7y4h9I2NpltMGCq1qqNvSQghWjgFIV0uIQhpaqKpuqalGsRW\nEdLaJPXM545NUxuLCluPVVa2eX1LcTE5U86owFCrbYGIvceJYjahMpqcxlRme+Bhaj5mbA1BzhhT\nGVuPKSr5Xi2E6DgSYAghrl4qNcTOQek7jfDkPxOy9QM2l/ZiV9F+srZkcSxtFMNum0bM+GDUWnlD\n1ZG0ai0jAkcwInAEzw99nv2l+0k+ZmsC+v92/D8Aenr0JGFiAjeZJlKTXkFGVibbCtLYuiwN12VG\nevr2oN+AKEKH9kGlkb9PIcS1QVGpULuYUbuYoUuXn32dQwljaSwoOGtc7eVF1z88T1NNDU1V1bbH\n6mqaaqqxnjFmKS+n8USB05i1ru7i7sdgcA41TEbncMRkCz5sQYi5jTF7OGJ2CFNMJhSd7mf/2Qgh\nrh8SYAghrn5GT5j8BrrY+4hf/gxRmdtZUzKIvPJENnyaRvq6ydwwdyzd+nh19EwFtt9a9vPuRz/v\nfjw+8HGOVxxv2dHkv+n/5d/Wf+Nn9CM+Lp4xHqPRZ6jIzMxkb2EGu9ccxLhGR0+v7vSJjqT38H5o\n9LJlohBC+D31ZJvb6nZ57lncJk/+2de1Wiw01dTSVF1lCzyqqx3CkOrWsWqHYzXVWM8Yaygvt13D\nYexCmqm20GicK0Saw5HmwMMxCHEcMztXiKhMzmGKYjBI1YgQ1xAJMIQQnUeXfjDnB7z3LWbmqhfI\nzKsjsVhL6dFFfPvqdnoPv5W4uwZi9tB39EyFgyDXIO7tey/39r2X8rpy1h9fT3JuMktzlvJV41eY\ntWZGDhlJnO8YfA67k5ORzYGSw6SlZKFL+YFQ9yD69utHxKgodCZDR9+OEEJ0iMu1ra6iVrdWiLQj\nq9WKtb7eVuVRXd0afjQHHzW2MaeApKamNUixV4lYTpXRkJdvC03sY9b6+ou7R6PzUhiV0WgPR8xt\njDkstzE5hCltjWk7NmCXXWnE9UgCDCFE56IoEHk7Su+JhG94i5AN77K5OJhdxfs5sD6LnN2jGDXj\nNqLHdpOeClchd707U8OmMjVsKnWWOrYWbCXpWBIpuSmsProajaIhNjKW+K5xhOYFkZt5jJyyXA5u\nPoJm0wqCXQOI6NuHvqMGYHJr3zfbQghxtesM2+o2UxQFRa9HpdeDp+f/Z+++4+O6zzvff86ZmVOm\nFwAzA4AgAbCDnaq2Ck3Jkm26rGzLiVvieB3fzV7vlXPtOLtx1pvkJpu23qySbIqdtt7rjZJNbEe2\n1UVSsmRS7BJFkQDBit5mgKln6tk/ZgACJChTMkmwPO/XCy8Mzpxz5gw0hAZfPM/zu6zntsvletgx\nK/C4oFJkVpXIrLaaWqBS21ZKJM+10kxXjVzCwNUZLtcFVSNzZo7Mqhp5s/kiynxVIz9hCKusSiNu\nVhJgCCGuT5oH7vuPaBs/yZanfo21h3fyzPgmBlPPs/1vD/Pq9m088K/vI740uNBXKi5Cd+jc03oP\n97TeQ9Wucnj88MzcjN8/9AcArOxcybviW1gztpyx46P0Js7Su6efJ155jkWeKCuXr2TN3RvxRQIL\n/GyEEEJcLYrTicPnw+HzXdbz2raNbVmzwpDcvG0157bn51aW5GvhSGV8glK+f+Y+O5fDLpXewhNU\nzgUb51WPTM8cST///Pyr0vzOf0ZxaShGLTxSdAPV0FHOu63qOshqNeI6JAGGEOL6Fu6ATzxG5Piz\n/OwTv0rP6SmeG3cyfvJv+Yff3MPKez7KvT+7HtMnw8GuZaqisr5xPesb1/PFzV/kTOrMTJjxF0f+\nEhubeHOcLbfcy93p28j0pukdO83Th3byzMGdxM1GVnYuZ+3dmwjFIgv9dIQQQlyHFEWpVUmYJoQv\n71wtu1S6oIXGPr+t5iLDV6v5PHY+RzWbpTo+PlMxMp/K5CQDX/zipV2UqtaGsmpa7bNeDzqmbxsG\niq6h6sacQOTCcKS+n2HUtula/Vi9vk0/dz5Nk5kk4qciAYYQ4saw7N0o//e9rNj9Z7Tv+DovD8U5\nmFA48vzvcWLv3dz7yY/QdXcriip/abgeLPYv5jNrPsNn1nyGifwEL/a/yPa+7Xz35Pf4+8pj+MI+\n7u66m3sKd2CfKnNy5Azbj7zM9iMv06SFWLFkGWvu2ki0Lb7QT0UIIYRAcblwuFw4/P7Lcr7jW++j\nPDh4wXZnUxOLvvlN7IKFXShQtQrYBav+uUC1YGFbBexigao1+3ahVn1SqO1nWxaVycm5x1gW1WKx\nVvnxVlptzqNo2jzhyHTgMR2InAs9VENH0fTafoZxwe3pY+arNJm57ZRfe28U8l9SCHHjcGpw1xfR\n1v0M73r2a6zb932eHt3I0NRzPPOXr3HouQ/wwOfuo2nx5XnzIK6OiBnhoWUP8dCyh8iX8+wa3MWO\nvh280PcCTxSewOlxcvudt/Nu+17MMy5OD/fzo549/KhnDyGnjxVtS1nzjo20dC6SUlkhhBA3hKZf\n/uK8q9I0/cqXMVYsv6KPbds2dqk0E3RMhx5Vy7rItuK5EMWyzgUmhfp+Vj0kKRRrlSjJydp+VBpB\nFwAAIABJREFUhUL9/lpwwltpwzmfw3GuCsTQUTX9vKqTeohykaqTC8ORn1x1omjaVX3fcbMMdZUA\nQwhx4/HH4SPfJHLLLj7+xK/Q0zPEc2NORnr+mv/167tZe9/D3PWx9ehuWZ7zemM6Tba2bWVr21Yq\n1QqHxg7NtJr8Rvo/gw5dG7t4n/ZuGvqC9A8N8sqJg+w+eRCfw83ylk7W3LGBxSvbUaWEVQghxHXq\nSq1KcykURUHRNNA0uMxzSN6MXS6fCzVmByaFCwOReatOZt2eDkymw5ZqIkl5zjGFmRDlbasPsp1T\nTaJrs9pwzq860WZClEuqOpkVwKRfeIHR3/v9m2KoqwQYQogb1+I7Uf6vF1ix/+9of/Z3eLkvwsGE\nwqGnfpfu3few9ecfZsUdcfmr/HXKoTrYHN3M5uhmvnTLlzg5dZIdfTvYcXYHfzj838AFratb+YD7\nPSwebGZkaIyDZ15n/9nDuFWdZbF2um5dR+e6FTgcjoV+OkIIIcRbcj2tSnM5KE4nitOJ6rl6q5BN\nLwdsW/Vwo1iYc3tu1cl0pcmFVSfV4qxgpR6yVDJp7ImJcxUrs6pOqFR++mu3LEb/6L9JgCGEENcV\n1QG3/mu0rod41/bfZt2PH+Pp4XUMJZ/liT95lYNPf5AHPn8/kWbvQl+p+CkoikJnsJPOYCefW/s5\nxnJj7OzfyY6zO/irof9ByVkiuDTI+70Psnp0GcnhSY4MHOfVwWNoj7tY2rSY1ZvWsnzjKjRNBr4K\nIYQQ4txywOg6jqu44JldKs0EIheGIxdWnQzXqy3OVx4aunoXfZVIgCGEuDm4w/D+/0pk82f4+BNf\noef1ozw35mTw6F/xP//9LjY++LPc+ZG1aIb8WLwRNLobeXj5wzy8/GGypSwvD7zMjr4dPN7/JP+/\n4x/Q23Qe9N/HLRPryA3nOTF8mjee7MX55OMsibTStWENK29Zg2maC/1UhBBCCHGTmR76ivfSqk3G\n//wv5h/qGr/xhpnLO3UhxM0lvg7ls0+y4vA/0f7U13jplI9DSYV93/9tjr58L/d/9mN0bo5KW8kN\nxOPy8MCSB3hgyQOUqiUOjhystZr07eBx9QmUZoW7fHfyrql3UBmpcHZ8iN7nz/D955+gLdjM6rVd\nrL59HV6vVOkIIYQQ4tpz0aGuv3yJS+peRyTAEELcfBQF1j2MtuK9bH3xD1m/8695anANwxPP8Ph/\nPUhr10M88Iv3E2xyL/SVisvMpbq4LX4bt8Vv4yu3foWeZA/b+7az4+wOfkv9LxCHdXoX26z7cI46\n6UuO8sSPnuHJHz1Dsy/KqtWrWHPnBoLB4EI/FSGEEEIIYGGHul5tEmAIIW5euhfe/ZtENv0cn3jy\nV+nef4jnRp30vfYN/sev/JjN7/84d3xoDU5NBjzeiBRFYUV4BSvCK/il9b/EcHZ41hDQP6McLdPm\naOWjpW34xrwMpMZ57pWdPPfKTqLuCCtXrmTNHRtobGpc6KcihBBCiJvczTLUVQIMIYSIdKJ86p9Y\neetTdPzwP/CjHo1Xk0d45Z9/iyMv3MuDn/84S9bJL6k3upgnxsdXfpyPr/w46WKalwZeYvvZ7Xxj\n4NtkohkiSoiPVT5AdLyR4XSCFw68zAsHXiZsBFi5dAVr7thAvEVWtRFCCCGEuFIkwBBCiGkr3oPW\nsYX7dv0pG579U57sW8XI2DN85/cOsnj9R3jgF+/HFzYW+irFVeDTfLy3/b28t/29lCol9g7vZXvf\ndv657ylG1VE8DSYftt9HR2IxE+kUuw7v4cev78Hv8rCiYzlr7ljPosVtqKq60E9FCCGEEOKGIQGG\nEELM5jLgni8TWf9xPvnMr9P945d4btTJ6QN/wd/88o+4/aFPc+v7V+Nwyi+mNwuXw8U7Wt7BO1re\nwVdv/ypvJN5gx9naEND/6fhn9IiL95fvoyu1ilQqy/5jh9jbfRC302B521LW3L6e9qUdOBzSiiSE\nEEII8dOQAEMIIeYTaEF5+G9ZeetLdHz/K7x4xObV5Bu8/Nh/4vD2Lbzn33ycRasbFvoqxVWmKApd\nkS66Il18YeMX6E/3z6xo8r2RP0YNK2wp3sntmU3kU0VeP3GUQydfR1ddLG3toOvWdSxdsQxN0xb6\nqQghhBBCXHeuWoChKMp7gEcBB/BXtm3/3nn3/7/A54AyMAZ81rbtM1fr+oQQYl5L7kL7ty9y//6/\nZeMTf8ATp5cxOvI0//u3D9Cx+aO8+3P34wnoC32VYoG0+lr59OpP8+nVn2aqMMWL/S+yo28HXx/4\nBqVIkdus9dybvZNqGnrPnODI2W6cioOO+GK6blnHitUrMQxpSxJCCCGEuBRXJcBQFMUB/Hfg3UA/\nsFdRlMdt235j1m4HgVts284pivJLwB8AP3M1rk8IId6Uwwm3/SKRrg/zqed/k6M7nub5EScn9vw5\nZw//iHd87NNsenAVqkPaSm5mAT3ABzo/wAc6P0ChUuCVoVdqQ0D7HiOZT7Iht4Kt1t24Ujr9A/30\nDJ5EfVxhcdMiujatZeWaVXi9XgD2Pv4SLxx4iYxtsW/nbu7ddBe3fvCuBX6GQgghhBAL62pVYNwG\n9Nq2fRJAUZTHgA8BMwGGbds7Zu2/G/jUVbo2IYS4NJ4Iygf/mNW3HGLp97/CCwezvJY8wgvf+hqv\nPvsu3vtvP0HzsvBCX6W4BugOnXta7+Ge1nuo2lUOjx9mx9kdfKfvOU5PnmJVroP783fjSwfoHx7j\nB0/9kB8+9UNawnF8uoeewZNUlCookMHi6f3bASTEEEIIIcRNTbFt+8o/iKJ8FHiPbdufq3/9aeB2\n27a/cJH9/xQYtm37t+e57/PA5wGi0ejmxx577Mpd+BWSyWRm/somhLwerlO2TXRkJ8Ejf88zZ5cx\nbikojkbCS++j9Z0tOPW3t5SmvB5ufKOlUQ7nDvNa/jVOW6dZlm/jntTtRHNRhu0pkmpm3uM86Ny6\n5c6rfLXiWiE/G8Rs8noQs8nrQcx2vb4e3vWud+23bfuWn7Tf1QowHgYePC/AuM227X83z76fAr4A\n3GvbduHNznvLLbfY+/btuxKXfEXt3LmTLVu2LPRliGuEvB6uc1YK+4Xf5+jT3+P54WUUK2U09xru\n+sRn2HDfChT1rQUZ8nq4uUzkJ3ix/0W2921n98BuWnINbBi8HeZ72djQ6AvT1NhE8+IW4m0txGIx\n3G73Vb9ucfXJzwYxm7wexGzyehCzXa+vB0VRLinAuFotJP3AollftwKD5++kKMr9wFe5hPBCCCGu\nCYYf5cHfYfWmn2fpD36VnbunODx5hO1//VUOPb2V933hk0SXBBf6KsU1KmJGeGjZQzy07CHy5Ty7\nBnex9693kad0wb4uHOhTCqfSpzhy6tjMdq/mpinUSLwlTry9lXhznFAohKrKTBYhhBBC3FiuVoCx\nF1imKEo7MAD8LPCJ2TsoirIR+EtqrSajV+m6hBDi8mhcjvaZ7/DAnU+w+Tv/kR90tzDe9yTf/rV9\nrLzrZ7nvF+5DN2XlanFxptNka9tWnvB+h0CmqTYDo85hqyS8wzwZfoL2Qgud+cV0lJdgFk2sfImE\nNc6p4bPYB3YD4FKcNPjDxJqixJe0Em9rJhqNyvKtQgghhLiuXZV307ZtlxVF+QLwNLVlVP/Gtu0j\niqL8FrDPtu3HgT8EvMD/VhQF4Kxt2x+8GtcnhBCXhaLAym1EfmUrP/fyH3Pk+3/P9iEXR1/4E07s\n28GWn/ssa+5dRv1nnBDzeq29h7WnbJoyzeQpYeJi1DvI4fbjfOv+b3MscYzuZDc/Th6hO9FNMpdg\nUSFGu9XK8tJSGoph7KLCVDLHkcmjHDx+eObcIcNPU6SReGszze2LiDXH8Pl88poUQgghxHXhqv05\n0LbtJ4Anztv2tVm3779a1yKEEFeUy0TZ8qus2fAJlj/xVba/cJYjk0d45i/+AweeuJ9t/88naWj1\nL/RVimvUI5se4Tes38CqWDPbDIfBb2z6DTqCHXQEO3gf75u5bzw/Tk+ih+5kN93Jbp5P7OHU1Cl8\nJTft+RaWFzpoKy9CL+rkckUGcwN0D5yAV6bPrdMUaCAWq1VrNC9uoaGhAYfDcbWfuhBCCCHEm5J6\nZiGEuFKCi9A+8S3ec8cL3PJPv8YPjkQYP/NDvvWVPXRt+QRbf34rLl1+SRRzbevYBsCjBx5lKDtE\n3BPnkU2PzGw/X4PZQENLA+9oecfMtkKlQO9kLz2JHo4ljrE9uY+eRA/5Yo7WQozO/CJWlJcSLAap\nFG0mx1Psnxii8sYBAFRUGtxBog1NxNtaiHe0EovHME3zyn8DhBBCCCEuQgIMIYS40jrupeFLO/n5\nPX/F69/5G3b0u3j9+Uc5/srzbP3s51j1jk4p4RdzbOvYxraObW97krju0OmKdNEV6ZrZZts2g9lB\nuhPdtY9kN8cSOxjIDBAq+2nPt7CquIzmUhxnwUU2U+B49gSHzx6Dl2rn8Lk8NAUbiMVjtHS0Emtr\nIRQKyetXCCGEEFeFBBhCCHE1OFwod/4Sa9d+lBVP/Seee7abo5Nv8OSf/Cr7f/huIp4M3a/vpVrN\ncvAv/5z1t9zK1i99eaGvWtxAFEWhxdtCi7eFrW1bZ7Znihl6krVKjZ5kD08kXqJ3spdqqcKiYoxl\n1hKWlTrxFn2UihUmRsY4OXoG+7VaD4qmOGnwhok1Rom1NdOytI2maBMul2uhnqoQQgghblASYAgh\nxNXkbUT76J/xvjv3c+s//nu+f0hl9MQPmL30UrWa5eCel+DrSIghrjiv5mVTdBOboptmtpWrZc6m\nzs4MDD1Yr9gYz40TKvvpsFrpKq4kWmpCKTjITOU5nHqDAycPw05QUAjpfqKhBmLNcZo7FxFf3ILX\n6124JyqEEEKI654EGEIIsRBaNtP4yNP8wqH/xR/9wXex7cJ5O5Q5tG8vt4zn8UUMKdEXV5VTdf7E\ngaHHEsf4cfI5Tk2dQq0otBVirCwspaPUjrvgxrJK9A0NcHT4BNRGa+B2GDR6w8SiMeKLm2le2kZD\nYwOqqi7QMxVCCCHE9UQCDCGEWCiqirLpU9j2Y/PebVezfPPffRbNaCHUvJTW1avo3NxFvCOEU5Ph\nn+Lqu5SBoT9OvkZ3optMMUO4HGBZvo3V5ZVEihHsgkIqmaJvcohqzwF4Fpw4iJhBouFGYq1xmpe2\nEW9rRtf1BXymQgghhLgWSYAhhBALTFU9VKvZC7YrikaTkSNhnWCk9xgjvT9g/+MOVGcUT2gx0Y7l\ntG9cS/v6JXhDulRpiAVxqQNDn0n8mIHMAK6qk8VWM2uKK2rLu1oG+VyB7lwvrw0cm1neNeD00Oiv\nL+/a3krL0jYCwYC8zoUQQoibmAQYQgixwNbfcmtt5gXlWVudbNh8G1s/fBv07SV9fA+ne/o4NRlm\n2JogMzZMemwXva8Aig/NbK5Xaaxm6S1dxDpCOF1SpSEWxsUGhqaLaXqSPXQnuulJ9vB84hV6J3sp\nlAtESgFWWJ2sqiwnWAhSKdiMjo/SO3EG3tgDgK64aHSHaYo0El/UTMvyNppaYjid8nZGCCGEuBnI\n//GFEGKBbf3Sl+Hr8Oq+2iokquqZuwpJ51Z8W2CtbbN2ohf691I5s4fho4fo7avQl3OSKJxipLeb\nkd4f1qs0mvCEFxPtWEHHhrW0b1iCN2Qs6PMUwqf52BzdzObo5plt5WqZM6kzs5Z27aY7+Rzj+XG0\nqosl+WbWlbtoKTbjLDjJZvK8lnmDA2dfh5dBRSGk+WkKNBCLxWjuaKV5WRser2cBn6kQQgghrgQJ\nMIQQ4hqw9UtfZiuwc+dOtmzZMv9OigINy6BhGY4Nn6DlQ9BSyMDgQejfQ+b4Hk4dO8upySDD+QSZ\n0RHSo7vp3Q0oXjSzhVBzJ4tWr2bprV3EOiI4nDI8USwsp+qkM9hJZ7Bz3oGhx5LH6E5088PkTk5N\nnaJSrdBQCtJlrWBFeWlteddChTOj/RwdOwGHa8d7VINGT5hoYxPxthZalrcRiTXKwFAhhBDiOiYB\nhhBCXM90L7TfDe134727XqWRPA39+6ic2cPI0YMcP1uiL+siUThdr9J4gn2Pq+dVaayhfUOHVGmI\na8abDQydnq2xL3GUnmQPmVIGveqiI9/G+nIXTcUoakFlMjXFmdQQ9slDsLM+MFQPEg01EG+OE+9s\nJd65CN2QgaFCCCHE9UACDCGEuJEoCoTbIdyOY93DNH8Amkt5GHoV+vaQ7X2FU8fOcnLCy3B+kszo\nKOnRV+pVGh40s4VwSyetq1az9La1xDrCOBzyF2txbXizgaHHEsdmVkL5UXI/A5kBsKGpFGF9YTUd\n5SW4LTdWocSxoRO8NtxdW97VhqDTS6M3TLQpSnxxCy0r2whEQjIwVAghhLjGSIAhhBA3OpcJbXdA\n2x143glrgDVT/bVZGmf3MnLkAMfPFOjPuJgonGH4eA/Dx5+sV2k04g0tJtq5gvaNa+nY2IknIH+t\nFteO2QND72u7b2b77IGh3cluXkoc4HjyOMVqEb3iYoXVydpyF5FiGNuCoclRjk+dheN74Tkw0GiY\nXt61OU7L0jaaOppxuuStkxBCCLFQ5P/CQghxMwq0QqAVR9dDNL8XmssFGH4d+veS693NiaNnODlm\nMpJPkR7bT2psD8d3A4q7XqWxlNZVq1l++1qi7WFUqdIQ15ifNDD0WLJWsfFUYicT1gTYEC82sqG0\njsXFVnRLJ2/lOdR/lMrAEdgLqq0Qdvlp8jcQjUZpXtJCy8oluAMyMFQIIYS4GiTAEEIIAU4dWjdD\n62bcd/wb1gJr0yPQv5fq2T0Mv3GA3pN5+jIaiUIfw8ePz63SCLcR7VhJx8Y1dGxaitsvVRri2vNm\nA0OnKzW6E908m3iJ06nTVOwKRkVnjbWS1eUVBAsByoUqJyfO8kbiBBwFngSvYtJohohGmoi1xmlZ\nvpjI4iYZGCqEEEJcZhJgCCGEmJ8vCqvej7rq/TQ/CM2VMoweqVVpHN/NiTfOcGpUY8RKkR47QGp0\n76wqjWbCrUtZtGoVS29bR6w9IlUa4po1PTD0nS3vnNlmlS1OTJ6YCTVeTxybGRiKDYsKcTaV1tNc\niuG0XCTyk5w+O4jddwh2gct20KAFaQo0EI1Fae5oJb6iDd0jg3KFEEKIt0sCDCGEEJfG4YT4eoiv\nx33r52pVGtkJGNhH9eweRo7s5/iJHH1pnUShn+GeXoZ7nmLvvyhzqzQ2raVz0zJMn7bQz0iIizKc\nBl0NXXQ1zB0YOpAZmAk1uhPdPJ58tjYwFHCXTTYW1rCs3InP8lEslHhjrJdXx7vhdVBsCDq8NLrD\nRBuaiLU107J8MYGW8EUHhmYPjpJ6+jSdkypDu/fgf3AJno1NV+V7IIQQQlxrJMAQQgjx9nkisPxB\n1OUPEr8f4tUKjHXXZ2ns4uSRM5wcdjBiZUiPHSI1uq9epWGi16s0WlatZvnt64m2R1BVWfVBXLsU\nRaHV10qrr3XegaHH6lUaexKv0ZvspVgtolQVOoptbCivpanQBJbKQGaUnsxZOA28CCZarVoj2ECs\nOU5zxyKiy1soHE2y77svspdeMrqFN2dw63eXcgv3SIghhBDipiQBhhBCiMtHdUB0NURX497887UV\nT/KTMLCf6tm9jBzZT09vmv60TcIaZKjnBEM9T7PvXxRUZ0OtSqNzJR0b19G5eRmmV6o0xLXvzQaG\nHkscm6nY2JnYVRsYCvhKXm4praejuASjYJIp5BgYOUp19A04BA5bxbQ1skoBW7EByCgWL9pvoPzQ\nwT0bH1qQ5yqEEEIsJAkwhBBCXFlmEJbeh7r0PuJbIV6tQuJEfZbGLk6+fpqTQzBi5UiPvUpqdD/H\nd30bFAPdbCbUspRFXV0su30tsSWNKFKlIa4DsweGbmPbzPbZA0OPJY6xM7F7ZmCoWlVZWexkbXkN\nESvAWCo9E15MqyhVdpRe5dhv9+MzvAQ8PgKhIKFImFAsQqilAT3kvmhLihBCCHE9kwBDCCHE1aWq\n0LAMGpbh3vAJ1jwMawoZGDyA3beH4SMH6OmepD8FicIww8dPMnz8GfZ+j/OqNNaydPNyDK+seCKu\nHz9pYOixxDG6E938MPksD6YenPccNlBQSkxlh+lJn8EemXu/YbvwOdz4dS8+t5egP0AgEiLUFCHc\nHMEbDaK6HFfwWQohhBBXhgQYQgghFp7uhfZ7UNrvIX4PxG0bkqehfx/5E7s48dpJTg7ajOQt0mOH\nSY0e4PgueFrR0c044dZltK7uqs3SWNIgVRriunKxgaFf+//+I47qhW/VKo4y32j9WwAUWyFSDLG8\nupSWapxgyY+rqFEt2YwVkpzOD1GZqMKpc8c7bRWvYuLTPPhNHwGfn2A4SLAhTDgeIdjagNOU9i0h\nhBDXHgkwhBBCXHsUBcLtEG7HXPcwax6CNaU8DB7C7tvDyOv76e5J0j+pkiiMMdRzmqGeZ+tVGpF6\nlcYqOjauZdktK9A98suYuL4oisKJ5pMs61+KwrkliG2q9MZP8IOHfsBQdoihzBDD2WGGskP0ZYfY\nm32VoewQhUph+gA8ZTeLy620VxfTUI7gLplQUsmUcoxNJbGmStA/67FtcCsGPmetiiPg9RMIBgg2\nhAhFGwi3NGCEPdKmIoQQ4qqTAEMIIcT1wWXC4jtRFt9J7C6I2TakBqB/L1bvbnpfPcHJgTIj+QLp\nsddJjR6cU6UxPUtjxR0baFrSIL98iWveJ7d+km889Q2WTyzHXXGTc+ToifTw+fs+z2L/Yhb7F897\nnG3bJAvJmYBjKFv7GM4Osz/zOkPZoZlhogDOipNooZGl1XbilSj+sg9HyUm5VGYgN8rxTB/2iA3d\n5x5Dt134HCY+3YPf7SPgDxAMhwhFw4SaG/HHgqhOaVMRQghxeUmAIYQQ4vqkKBBohUArRtdDrPkQ\nrCkXYPh17L5XGHl9Hz3HEvQlHSQKYwwfP8Pw8efqVRphfKFFRJeupn3jWpbduhLdLVUa4tqyrWMb\nvAcePfAoQ9kh4p44j2x6pLb9TSiKQtgIEzbCdEW65t2nUCkwkh2ZCTemA44zmSGGsgcZzg5jVaza\nzlUIl0IsLrbSZrcSLgfRywaUFBKFKfryo5QnKnPaVBy2ilc18LnOtakEQkGCjSHC8QZCLY245N+c\nEEKIt0gCDCGEEDcOpw6tm1FaNxO7E2IA6WHo30fhxC56Dp3gVH+RkVyJ1PhRpsZepWfX3/O0otVm\nabR0sqhrDcvv2EDTkkap0hALblvHNrZ1bGPnzp1s2bLlsp1Xd+i0+dto87fNe79t20wWJueEG9PV\nHPuzRxjKDjGWH6vvDO6ySXMxypJyG9FqE56yiaPkJFfOMzE1RX6qOKdNBRvcij7TpuL3+gkEam0q\n4WiEUGsD7rBP/g0KIYSYQwIMIYQQNzZfDFa9H33V+1n7flhbKcHIkZlZGj1HJ+hLOEgUJhg6fpah\n49vZ8z1QHSF84VqVRsemtSy9dRW6DDYUNwlFUQgZIUJGiNWR1fPuU6wUGcmNXNCmcio7OHM7X84D\n4Kw4iBUbaSk101ppJlD2o5V1KuUyQ7kxTmT6qY7Y0HPu/JrtxOsw8Wse/G4/Ab+fYCREsClEON5I\noDksbSpCCHGTkQBDCCHEzcXhguYNKM0biN1er9LITsDAPqwTu+g9cJyT/QVGshVS491Mjb1Gz67H\nAA3dHSPc0klr19r6LA2p0hA3L82hsci3iEW+RfPeb9s2U4WpC9pUhrJDHM++znBmmLH8GDZ2rU2l\nHKTZirKo0kJDtQF3vU1lsphm0BqnmCjD6XPnV22ltpqKy43P9BLwBQhOt6nEGggtakRzyzLLQghx\nI5EAQwghhPBEYPmDGMsfZM17YU21AmPHalUah/fR88Y4fRMKiUKSoeM7GTq+ozZLwxGcVaWxjmW3\nrkKTKg0hgFoVR9AIEjSCrIqsmnefUqVUq+KYFW4MZYc4mR1gODPMYHZwporDXTZptqLES1Hi1Sj+\nsh9nxUm+ZJFMpchNnYaBuec30fA53PgMLwGPj0AwSDBSGzYabmnEHfGhquqFFyaEEOKaJAGGEEII\ncT7VAdEulGgXsVt+oValkZ+Egf0UTrzC8QPdnDybZyRrkx7vYWrsMD27/oGncNWqNJo7WbR2Lcvv\nWE/T4qhUaQhxES6Hi1ZfK62+1nnvt22bVDE1Z0WV6aCjO3u4NosjV6vicFRV4oUmYoUm4pUY4UoI\no6xRqVQYzU1wOjNIZbQ69/FtB16HiU+rraYS9AcIhIOEGiOEWhoIxiM4XNKmIoQQ1woJMIQQQohL\nYQZh6X3oS+9jzYOwplqFxAnss68w8to+et4YpW/cJlGYYqj3RYZ6d7Lnu6A6AvjCrUSXdtWqNG5b\njWZIlYYQl0JRFAJ6gIAeYGV45bz7lKolRnOjFwQcJ7IDDGeHGcwMkivnoAqhcpAWK0q01EhTtRFv\nxY1aVkgVMoxYCQqJ0pw2FcVW8CgGPpcbf71NJRAMEGoME4o1EGptwPCaV+ebIYQQQgIMIYQQ4m1R\nVWhYhtKwjNimT9WqNAppGDxI4cRuju/v5uSZLCMZhfT4CabGjtCz6x956r870d1Rws2dtK5Zx8o7\nN9K0JDrn1Nu//l94dd9eqtUsB//yz1l/y61s/dKXF+RpCnGtc6kuWrwttHhb5r3ftm3SpTRDmblt\nKkPZIY5lTzOUHWI0N0rVrmKWDZqtKLFiI02VRoKVIFrFQaFcoD+VoWfqLPaAPef8Oi58Djd+w4vf\n4yMYCBKMBAlFI4RaG/FG/NKmIoQQl4kEGEIIIcTlovug/R709ntYcz+ssW1Inq7N0nhtH91Hhukf\nq5Cw0gz1vsRQ74v1WRp+fKFWosu6sEZPcfbEIaAMUAsx9rwEX0dCDCHeBkVR8Gt+/GE/K8Ir5t2n\nXC0zlhtjcNYKKkOZIXqz/TNhR7aUxVFVay0qhSYaSmEi1QY8FReUq4znEpzNDFMercC+WlfrAAAg\nAElEQVTxc+d22Cq+WW0qAX+AQChIuClCsDlCKN6AU7u0t+R7H3+JFw68RMa22LdzN/duuotbP3jX\n5fg2CSHEdUECDCGEEOJKURQIt6OE24mt/5lalUYxB0OvUji5m+P7jnLydJaRjEp64hRT429c5ERl\nDu3dzZJDvTQtieMJuGWuhhCXkVN1EvfGiXvjF90nXUzPCTemg42j2ZMzVRyVSoVQKUhLIUpjMUJD\nJYKv6sdZVkgXsozlk1jntalgM6tNxYff6yMYDBJsDBOKRQi3NmL63Ox9/CWe2r+dilIFBTJYPLV/\nO4CEGEKIm4YEGEIIIcTVpLlh8Z3oi+9kzbvqVRqpgZlZGt9+/PC8h9m2xXd/94sAKIobp8uHZvpx\n+8N4G2IEYjHCzXEa2+I0tDWhm04JOYS4jHyaD5/mY3lo+bz3l6tlxvPjcwaODmXnVnGki2nMik6z\nFSNaaCRSChGqhjAqDoqVIoOpEXqnzlIdnNumouGkbFeoKnO3V5Qq2w+8SPuGZfgbAmhu44o9fyGE\nuBZIgCGEEEIsJEWBQCvK2lZiaz+C+oOfoVrNzrObwYY2N5PpMhkLcmWLQiZDduokY32V8/Z2oDh8\nuDQfhjuAOxDB1xQnGIsRaYnT2NZMMOZDM+RtgBCXi1N1EvPEiHlibGzaOO8+mWJmJsyYM48j08tw\ndpiR3Ah2xSZebCRmNdFQDBOqhPBUTZKF8rznzFPkT//mz2vXYDswVQ3ToeN2mbh1E7dh4vF48Hi9\neAJevEE/3rAPXySAy6tL0CmEuK7IOxchhBDiGrL+lltrMy+Y/cuKkw233nFuBka5AKkBmBrAnuon\nN3ya0bPDjI+kSSQsUtkKmWKZfDlJNjlKauJ1hk+e90CKierwoek+DE8QT6gRfzROKB4l0tJMw6JG\nfBE3Ll2WkBTicvFqXpZpy1gWWjbv/ZVqhbH82HnhRq2Ko/XFGHlKFxyj206m3ON4q15M24WzCiW7\nRMIqMJKfoGCXLqjcmOayHZiKjtuhY7qMeuDhxuN24/F58fi9eIM+vCE/3ogfl89AcUjgIYRYOBJg\nCCGEENeQrV/6MnydmVVIVNVz4SokTh3CHRDuQAE8QHv9Y0YhDVMDkOqnkjjLVP9pxgbGGR9Nk5ws\nks5VyZYy5AtppnKnmRytMNA9+wQqiuqrhRyGD7cvhCccJRCLE2qO0dAaIxQL4gnpuDQJOYS4HByq\nY6aKYwMb5tz3tde+gmvSW5uBMb2/rZL2J+h8dxfJQpIJa5JEIcGkNUnSSpIsJMmX8ngqJpFimGDJ\nT6Dsw1P24K64cdomVCvkqxbZQp6iNU5xsoR9kYxCt50Yio5brQcemonbrAceXs+cwMMT8eH06qjy\n80EIcRlJgCGEEEJcY7Z+6ctsBXbu3MmWLVve3kl0HzSthKaVOIDwbRAGZtZgsG3IJWCqD3uqn8Lo\naSYHzjA6kCA5kSOZKpPOW+TKRazsGBPpAhODwOuzHkMxUFQfDqcPvT6Pw9cQxR+LE2mOEmmN4YuY\neEM6Tpf8EiPET+P2D93LC995hki6iTwlTFxM+Ea596EH2Nax7aLHWWWLyUI90KiHGtOfJ61JRgpj\nc+6btCbRyhqRUpBgMUCg7MNb8WCWTVxVk7IN6WqZVDFLqVChmCrDfIGHDQYuDLRahYezHngYbtz1\nwMPn99XaWiJ+3EEvTq+GIvN7hBBvQgIMIYQQ4makKOCJgCeC0rwBYxXEqH3MqFYgPQypAarJs2QG\nT5AcHGB8cJJE0mIqUyZtTZEvp8hPnSE7WWHs7OwTqKB6UVQfLpcP3e3HHWjA3xQnEIsSaYkTjgfx\nBA28QR2HS72q3wIhrifbOrbBh+HRA48ylB0i7onzyKZH3jS8ADCcBjFnrarjUlTtKuliek7YMVmY\nJGHVKzvm2Va2ygRLfkLlAIGSH2/Zg1kxUSo62GWK1SLJUppysUopc/7MnhrFVjBwYdq1GR61wMOY\naWlxezx4/V48QR/eoB93yIPDq6G6nSgO+dkhxM1CAgwhhBBCzE91QKAFAi2oi27Dvw78wOLZ+5Qs\nSA/C1ACFkZOkh06RHBpifCRFIlkklc2RLeXJF0dJ58ukJ2xGZs/jUHQU1VcLObTpeRy1kCMUjxFu\nbcIf8eAN6nhCOg75RUXcxLZ1bGNbx7afrjrrJ1AVlYAeIKAHWMKSSzqmUCnMH27MVH4kZrZNWVPk\nsjnMkkGodC7wcFfcVCo6papGzs5jlxUqpSrlbBUm5rlOW8FAw7Q1DFXDPVPhUW9r8Xrw+rx4Aj68\nIR9GwF0LPDwuaWsR4jomAYYQQggh3j6XMTOPQ2+/Gx1oAOaMKLRS9SqOPrJDJ0gPniYxPEpiPENy\nskQqnyBbmsTK2UxlK0yNwuDMPA4FFO9MyKHpPkxfCG+4sTaPIx4nGAviC9daVTwBDVVCDiGuKt2h\nE/VEiXqil7S/bdukS2kmrfOCjun2lnoIkrSSTOYnyWazVK3qTODhq3hwl90UKzpWVcNhO1EqKuVc\nlWpu/oGlDlvFRMOwXZiKXlupRTMxDROv6cbt9eLxefAGvHhDfnS/iepx4fC4UAwniiptLUJcCyTA\nEEIIIcSVZfjB8KM2rcK3AnxA8+z7bRtyEzDVT3H0FOnBE6SH+0iMTJCYyDGZzpK2suRKIxQyVayM\nTXII+o5Mn8CFovprIYfDh2b4cftD+CIxAvEY4XgT/gYv3pCON6TjDuio8suIEAtGURT8mh+/5qfN\n33ZJx5QqpQsrO+ozOxJWguR04JGbJJfNkc/l8Zbc+Et+fGUvnoqJVTFwVeqBh61SsWxsy4bJCx/P\nZTswbK3W1oI2E3i49XqFh8eDx+fFW6/wcPmMmcBD9UhbixBXigQYQgghhFhYigKeBvA0oDVvILIB\nIjC3eL1ShswIdrKP7NBx0oOnSI0MkhxLkkhYTGUTZAoJ8iWFfKFKfgom+oBD04/hmQk5VEdt6Kgn\nEMHXGCMYjxKMRvCFDbwhoxZy+DX5i6sQ1xCXw0Wju5FGd+Ml7W/bNtlSdt7BpTMrteRrFR65bI5c\nLoeSh0DZj6/kxVNxY1QMtKqGo1oPPAo2FIDUhY+n2U4M2zXT1mI6dNzTS9PWAw9vfWlaT9CH06fX\nww4XqteF4lLf8vDSvY+/xAsHXiJjW+zbuZt7N93FrR+86y2dQ4jrjQQYQgghhLj2OZwQaEEJtOBd\ncgdeIH7+PiULUgOUxk+T7j9OeugsqbEhkmMpklM5pnJZssVh8pZN1oJsEkZPTx/srLepnAs5DHcA\nTyiCPxonFIvia/DiCxl4wzrekIHpdUnIIcQ1SlEUvJoXr+ZlEYsu6ZhStcRUYeqCIaXTgUfaSjKZ\nrbW05LI5SvkSnqKJr+zDU3ZjVgxcVQ1n1YlSVamWgBKQAcbmPpZuu2rtLLPaWtwuoz7Dw4PHNGsV\nHkEf7oAXp0dD9bpmqjz2Pbubpw/sqC2rq0AGi6f2bweQEEPc0CTAEEIIIcSNwWVApBNXpJPwivsI\nz7ePlcKe6ic/eJzUwAnSw/2kxkZIJjIkUwnS+QTZskqxaFPKQ3oChnvrxyruuSGH04fpDeILN+Jv\nihOMhfGFTTxBvV7NoWN4XbIkpBDXCZfqosFsoMFsuKT9bdsmV85dZHBprdojmUmSyWbIZXMU8gUc\neRV/2YenYmKUTbRZgYddUSBL7WMWxQa9vkKLYWuYuDirTtTCi1kqSpXt+1+kRY1gekw0r4FiOFAN\nJ6rhRDGdqPWvFae0uIjrkwQYQgghhLh5GH4UYzXu6GrcG89bNhZq8ziy45QTp8n09ZAaPEV6dJDU\n+DjJZJ7JdIZ0YZhcUaFUgFIWUiMwcBTAMTNsVFH9oPpwOH24fSF8DU0EYlH8DX58IR1PvVXFFzLQ\nPc6Lhhzb/+57vPrsP1Itpzj4zW+w/t0fY+tn/tUV/iYJIS6Foih4XB48Lg+tvtZLOqZcLTNVmJo3\n8Ejmk7XAI5Mhm81SyBeo5iu4iyaeihtzJvBwoVTmX0klrxT5xr5/AGortWg40WznhZ9VF7pTQ3dp\nGJqOrhvoho5hGBgeE9NjYnjcuNza3OCjflvRHBLOigUhAYYQQgghxDRFAW8jTm8jwbZbCc63T6WM\nnR7CGuol1d9Tb1UZIZVIMDmZrM3jKCpYRYUKUMzA5BD0HQYUc07Ioag+nC4/7kAIX2OMQFOkvqKK\nQe++Fznxyj8AZYBaiPHk3wFIiCHEdcqpOomYESJmhE46L+mYXCl3wUotb3zrNfKULtjXZTt4I3YM\ntaiglVwYVR29ouOqunDaLhxVB6qtgq1AVanN9CgA6fkf22Gr84cgONEctRDE0HQMzUDXdXTDwHAb\nGG4T0+PG8Bk4TQ3FqIcgpnPmtgw6FW+HBBhCCCGEEG+Fw4kSXIQZXIS56l3Mu3BkKU8lcZZM37Ha\nwNHhPtLjo0wlU0ymhkjlhsgWVcq2QjlfW2k20QegzgQc1fIw0+HFOWUOPf0YhUI7hlfHcLvQPU4M\nj2vubU/tttM1/19phRDXD7fLjdvlptl7bv2mvcEf4Zr0zmkjcdgqhWCab//St4HaTI9sMUu6lCZT\nzJApZUgX02RLWdLFNOlCmkwuQyafIZfPkbfyFAoFSoUS1WIFh6XiLDnQqzpaVauFIFUnDtuBYqvY\ntlL7EVUGche/fpftmAk/XPXPOk5cihPNOR2CGBiGga4bGIZeqwBxmxheN4bHQHW76q0w50KQtzP4\nVFz/JMAQQgghhLjcXCaO6AoC0RUELrKLnZ+kMHyCdH93rVVlZIhUYoLU5BRT6QmGM/O/TbOrGd7Y\n/lUURQfFAMVAmf6snvtaUQwcTgPNdGN4vRi+AO5AANNnYLhdGF4XuttZDztcGB4nursWfjg1+cVA\niGvZ7R+6lxe+8wyRdBN5Spi4mPCNcu+HHpjZx6W6CBpBgsa8tWSXpGpXyZayM6HHfCFIOlsLQvJW\nnpyVmwlBFAvUgoKjpKJVagGIq+rCYTtRqyqKrWBXFShS+8hc5CJszlV91CtAXNOVIA4nWr0Vxpwd\ngrhNTHetHcbwutE9OqpZD0Gm22AMpwxivg5JgCGEEEIIsQAUM4jRvhmjfTPzLQz5Rx//GarV7IXH\nKRq3r/Fi5XLkcynyVpJ80cYqQaGkUKwqQO1NeYladUdqZPYZnPWgw5wJQc4PQFSHgW64MTyemeDD\n8HswZ8KOevjhnVv54dKlL16Iq2Fbxzb4MDx64FGGskPEPXEe2fRIbftlpCoqPs2HT/MR81wwNeiS\n2LaNVbFmqkAyxcy5qpBihpSVIp2rhSA5K4dlWViWRSVfQSmAWqyFIM6yY2aVl+kqEGwFe7oKJA9M\nzX8Niq2g4UCzXfUgpFYV4lJcuBxOdJcL3aVj6iamYaKbBqZZD0A8JqbXPXcoaj0EwSlh79UmAYYQ\nQgghxDVofQwODjqZ20biZEPcxTt//VvzH1QpY+eSFCaHsSaGsCZHsSbHsaaSWOlJrEwaK5vFyufJ\n5dPkCzb5ok2hrFCsKFQ490a8mIb0nKUflXrQYZ5X7aHPBCCqw0AzTHTTg+H14Q6EcAd9tXaXWRUe\n04FH7WsnmvwlVIi3bFvHNrZ1bGPnzp1s2bJloS/nohRFwXSamE6Txnnj2ktTqpRmApBM6VxLTLqY\nJp1Lk87XQpBsPotlWRSsAna+imLZUARHSUWtOOqtMA7UmVYYsKerQC7MjGfMNxTVpTjRVCcuhwvN\n5arNA9FN3KaJaZoYZm0gqu41MX1uXG69FoKYtRBE0RyX7Wff3sdf4oUDL5GxLfbt3M29m+66IZfU\nlQBDCCGEEOIatPUXPgLf/DavjnuoVrOoqof1DVZt+8U4nCi+RgxfI8aitZf+YLaNXUhTTo1hTQxi\nJYaxJsewUkms1CRWJoWVyWDl8uTySfJWtRZ8lKBQUSjbs4KPzDyV4LNCjnnbXVQdTTPQ3R50rw93\nIIgZ8OP2uWfaW2ZaXWZVfGimE1WCDyFuCi6Hi5AjRMgIve1zTLfETFeBzG6FSeVStRAkey4EKeWL\n2PkqFGyUAihlFbWs4qw6cFSdMwNR7QrYFcB688d32Gpt/sfsEER14FJdaM5aCKJrOqZh4jbduN3u\n+kBUE8NXa4dxurVzIUh9Sdy9j7/EU/u312aiKJDB4qn92wFuuBBDAgwhhBBCiGvRuo+x9Rdh6/O/\nhT3VjxJohfu+Bus+dvkfS1FQDD8uw4+rqRPfWzm2XKSSGaeQGMRKjGAlR7GmJmrhR3qKfCZNIZcj\nn8uQs6bIF6rntbvUlLKQTZ5/cuc8sz2m215MUHU0zUQzTQyPF9MfwAyGcPu9M+0thsc5t+2l/lmV\nFRCEuOnMbomJE39b55jdEpMupWcGpaatNFO5KVLZFNl8lmw+SyFvUcmWqVpV7EIVpQhWSUGtKKiV\nWhWIOl0FUqp9vNlAVLhwKKoLByPK5JyBrgAVpcrOAz+SAEMIIYQQQlwl6z4G6z7GC9dyibhTwxFs\nxh1sxt3xFo6rVrHzkxSn212SI+SnxinManfJZ7NYOYtcLjur3YV6u0tNOQe5yfNPrsyt9lAMUM8N\nN0XRcWoGumGiu72YPj9mMIgnEMDw6bNWcnFhuOcGIA6nBB9C3MyuREvMdDXIVH5qJgTJ5DLk83mK\nWYtyrkzVKkMBCiWbQklBLSsoVQXVdlCpzF+JlrULb/v6rlUSYAghhBBCiKtPVVE8YXRPGL1l9UVX\na5lXKU9pagRrYpBCcgQrOUZ+aqLe7jJFIZsln82Ty6XIWZNYxSpWGYolhbJdO0U5D9a8A/+0ORUf\n5wcgTqeOyzAx3G4Mbz34CIYw/e7zlrI9F3wYbhcO108ffPS8MsyufzlBJlHlzDMvc+eHOll++9sb\nrCiEWFiXoyWmUq2QK+f4s9/5Y/KULrjfxPXTXOI1SQIMIYQQQghxfXGZuBqW4GpY8tbaXSplqtkE\nVmJ6zkdtyGkhlSSfnqoPOc2Ry+bJWRms6XaXMpSqYFMbqWqlIX3ByR0XqfaYXtJWR9NNNLcb0+PF\n8Adxh0J4gl4Mj35uuKl71rK2HhdOV22Vg55Xhnnmm/9EIfsyVNNYUz6e+eY7gY9KiCHETcqhOvBp\nPrLBKVyT3jltJA5bJRu8yLIs1zEJMIQQQgghxM3B4UT1N+H2N+Fe8haOqw85LSaHKCSGyCdHsZJj\nWKnEuSGn2Ry5rEUuP0XeSmCVau0upQqU7VrwUcgAE+efXLlwyKl6LvxwOGoDTvO5MSqFV2G6eaaa\nppB+jmf/Cgr5f4VmOHAZTlyGA02vf57epjtk2KkQN7DbP3QvL3znGSLpJvKUMHEx4Rvl3g89sNCX\ndtlJgCGEEEIIIcSbqQ851eN+9PgK/G/l2HLh3OouyfqQ09REbWnbTAornSGXzZPN5bCsNPlilULZ\npliGcrUWVxQvurRjGSv1FM/8xY9QFBcoLlA0FGq3FUUDxQloOBxOnE4nDpcLzaXh1HU0XUdz11d/\n8XgwfD4Mvx/d60YzZoUgM4GIE81w4KhXhQghrg3bOrbBh+HRA48ylB0i7onzyKZHattvMBJgCCGE\nEEIIcaU4dZzhVrzhVrxv5bhqlWo+WVvdZWKYv/ndRy+666o2KBQKFEs5iiWbUtmmVKlSrkC5alOp\n2rUg5JIf3DFPGFL7unbbiUN1zoQiLpcTp6ahaRqaoaEbBprHRPd4MH0+DL8Pw+dD83nQ3AYu01kL\nSPRaQCIrwgjx09vWsY1tHdvYeS0Pfb4MJMAQQgghhBDiWqOqqJ4IpieCuWgtpvNPyJerF+xmOv9P\ne/ceNNld13n8/T3dfbqffuYSiELFhDIobIp4CVgh7gqr7ERQwDWxtCShoKB0ZbW8IEKxcd1lV9yl\ndEXRXS8rJi4oMRgjWOiuihBR2BVzZcAYKUERhlsMzOS59b2/+8c5M+lMZjK5PM9zember6quPn36\nXL5n6lczz3ye36XgBf/tdx76WvM5s+E6k/XDjDcOM9k4wmRzjfHmfUy2NhhvbTAZbDLe2mK4NWQ4\nGDMaThiPpozGEyaTEZPpjOl0zmSWzGZzpvM543xwPScXcKIwhA5RtGkVrerVbtNptWh32pRlm05Z\n0u2VlL0u3dUevX6f7t4+/b17WTlnH909eyj3rNLZu5dOv0en17Z3iHQGM8CQJEmSlty/euE38Cfv\n+gCzvH9fK6r9p1QUtPr7afX303vihdtWU87nTIYDJhtHGK8fZrJ5hPHGfUy21phsrjPc2GC4sclw\nc8BoMGI0GDMejRmPpownU6Z1MDKbVeHIeD5jNp9RTZf6cLWqniLR4WhAUkSbomjRKgrarRatVkGn\n3aLTadPptCjLDmW3TbdX0u33WFnt0dvTZ2XvHvrn7KW3dw/l3ioYafX3QqcP7S4sWzDy4Rvhva/n\nm+47BHdeAJe/rlp6WTqDGWBIkiRJS+5pL74G+Gne/0fvY33cYm85418+/zn1/mZEUVD2Vyn7q6w+\n4fxtuWZmMptOq2BkMGC8cYTJxmHG60cYrK0xXKuDkc0tRpsDRsMR4+GIyWjMeDJhOp4ynY2YTqfM\nZjMm4ynznJE5eyRPVvUQoRouU0SbIor7Q5GioN0KOu2Cdrug7LToltUcIb1uh26/S6/fZWXPCit7\n+/T3r9I/Zz/lap+itwqdVSjr16MNRz58Izf/+vUcvPermM8vpChWueTvr+fA92GIoTOaAYYkSZJ0\nGnjai6/haS++5owe4x4RtDsd2p0OK3v3wROeuC3Xnc9nTEcjxsMhk+GA4eYWg8OHGRw5zPC++xiu\nrzPc2GK8tcVoMKiOG4+ZjMdMJxOmkwmz2YjJbMpoMmU+n5I54ZH1FmkTcTQUaVFE0IqCVgHtIupQ\npApGuu2g7FbBSLfXprfSYWWlpLenS39Pjzveewt/c28Am/XzbXLnPW247nc58BNfA+1e/epCZwVa\nXSica0SnPwMMSZIkSWe0omhRrvQpV/rbds3MZDaZMB5sMdzYYnNtk8HaJoP1TUZrawzX1xhtrDPa\n3GI82GI8HDAZjZmOR0wnY6bTCbPphOlswtZ0Ss4ndSjySHqLLJpy5+fm3PWqn6KIoAhoRdAKKCJp\nF9Aqgnareu+0g3a7OPZedgo6ZYuyrOcf6XXo9jqUKyW9lR5lv0u3v0Kru1KFIu3uQlCyEJYc29+F\n9spyDr/RacsAQ5IkSZIeoYigXZa0y5L+/nN4/PaMomE6mbK1tsngvg221rYYrG8y2NxitLHFaHOL\n0cY6d/3FDSc5e0575fHMZ1Om8ynj+ZScVUNocj4lmUFOgUcyAevxCqBFRIuIgohWNcSGqIKTAgqC\nVmTVu+ToewGtdtBpLfQ26VQBSjVha0HZbVN26+CkVw3H6fa7lCs9inLl4YUl7R506uNapeHJGcYA\nQ5IkSZKWRLvTZt+5+9l37v6THnP3//1D5rP1B+0vWnv5gWt/6SGvP58nk/GE0cawmlx1a8B4a8h4\nUM8nMjw61GbMZDRiMhoxHQ6ZjIZMR0NmkxHT8YjZZMxsUvUimc0mzGfTY8FJzqfM53VwktM6NHm0\nPUugWsWmRUQboqDgaHhS1L1NjvY0qSa3rcKTpB1JuwharaTTqsOTdtDpVOFJWbbodAq63Radbodu\nr03ZK+mtlJQrXTq9kqJcCEQeKiw5fn+rs6vhyc0/90YO3nZrNZzo136VSy59Jgde/Zpdu/9uMcCQ\nJEmSpNPIJc97EXf+0VuA6cLeNpc870WnPLcoolqBpVfuVHknNJ/OGI9GDDeGjIcjRptDxoMho8Gw\nCk0GVXgyGY2ZjIb1exWWTEdDZuM6OJmOq/BkOmE+rYOT+YRpHaAcDU1yPuWBfz6PRguiTTygx0lB\nwf3BybHQpKiDk0jaMaddJO0WtFvQaXFsuE6nE5RlFZ6UZaua6+Roj5NuSdkvaZUlRVkSx/cyecDn\n+7dvvu7t3HnHbceedz7f5M5bPgA/xxkXYhhgSJIkSdJp5MDLrwTg4J/eyHy6RtHexyXP/e5j+5dR\n0W7Ra/fprW7fPCSnUq1qM2E8GDHcrHqZjLYGjAdDxltV75LxYFivZFOFJ9PRmMl4xHQ0Zjqug5PJ\n0R4nY+bHepzUocl8Ss6qwCRzWq9481iH6LSr4CRaBPcP04ljoUnQiqjmNgn4wtYXeXBYM+Xgbbdy\n4DFUsowMMCRJkiTpNHPg5Vdy4OVXntGr0jxW1ao2Je1OSX/f3l2773w2YzoZMxoMq+E5W6Nj26Nh\nHZgM6tDkWK+TEdNxPclr/T5b6HGyGJxMZlPGs0m9Gs4MmJy4jvnmrj3zbjHAkCRJkiRpmxStFmVr\nhbK3Ao/b+fu96eoXnTCsKIrVnb/5LnMxYEmSJEmSTlOXXPpMHtw3oV3vP7MYYEiSJEmSdJo68OrX\n8IzLnn2sx0VRrPKMy559xk3gCQ4hkSRJkiTptHbg1a/hAJzxc6LYA0OSJEmSJC09AwxJkiRJkrT0\nDDAkSZIkSdLSM8CQJEmSJElLzwBDkiRJkiQtPQMMSZIkSZK09AwwJEmSJEnS0jPAkCRJkiRJS88A\nQ5IkSZIkLT0DDEmSJEmStPQMMCRJkiRJ0tIzwJAkSZIkSUvPAEOSJEmSJC09AwxJkiRJkrT0DDAk\nSZIkSdLSM8CQJEmSJElLb9cCjIj41oj4aER8LCKuOcH33Yj4nfr7v4qIC3erNkmSJEmStNx2JcCI\niBbwy8DzgYuBqyPi4uMO+17gcGY+BXgT8DO7UZskSZIkSVp+u9UD4zLgY5n595k5Bt4OXHHcMVcA\nb623bwIuj4jYpfokSZIkSdISa+/Sfc4HPrXw+RDw9Sc7JjOnEXEfcC5w7+JBEfEK4BX1x42I+OiO\nVLyzvoTjnktnNduDFtketMj2oKNsC1pke9Ai24MWna7t4csfzkG7FWCcqCdFPopjyMw3A2/ejqKa\nEhG3ZealTdeh5WB70CLbgxbZHnSUbUGLbA9aZHvQojO9PezWEJJDwJMWPl8AfETq24EAAAg2SURB\nVOZkx0REG9gPfHFXqpMkSZIkSUtttwKMW4GnRsSTI6IErgLeddwx7wJeVm9/F3BzZj6oB4YkSZIk\nSTr77MoQknpOix8C/gRoAb+RmXdFxOuB2zLzXcB1wG9FxMeoel5ctRu1NeS0HgKjbWd70CLbgxbZ\nHnSUbUGLbA9aZHvQojO6PYSdHCRJkiRJ0rLbrSEkkiRJkiRJj5oBhiRJkiRJWnoGGLsoIn4jIu6J\niL9uuhY1LyKeFBF/FhF3R8RdEfHKpmtSMyKiFxG3RMTBui38ZNM1qXkR0YqIOyPiD5uuRc2KiE9E\nxEci4kMRcVvT9ahZEXFORNwUEX9b/wzxL5quSc2IiIvqvxeOvtYi4kebrkvNiIhX1T9H/nVE3BAR\nvaZr2gnOgbGLIuIbgQ3gNzPzq5uuR82KiPOA8zLzjojYC9wOXJmZf9NwadplERHAamZuREQH+ADw\nysz8YMOlqUER8WPApcC+zPy2putRcyLiE8ClmXlv07WoeRHxVuD9mXltvbpfPzOPNF2XmhURLeDT\nwNdn5j82XY92V0ScT/Xz48WZOYiIG4H/k5lvabay7WcPjF2UmX9BtcKKRGZ+NjPvqLfXgbuB85ut\nSk3Iykb9sVO/TJfPYhFxAfBC4Nqma5G0PCJiH/CNVKv3kZljwwvVLgc+bnhxVmsDKxHRBvrAZxqu\nZ0cYYEhLICIuBJ4B/FWzlagp9XCBDwH3AH+ambaFs9svAK8F5k0XoqWQwLsj4vaIeEXTxahRXwH8\nE/C/6iFm10bEatNFaSlcBdzQdBFqRmZ+Gngj8Engs8B9mfnuZqvaGQYYUsMiYg/we8CPZuZa0/Wo\nGZk5y8ynAxcAl0WEw8zOUhHxbcA9mXl707VoaTwrM78OeD7wg/WQVJ2d2sDXAb+amc8ANoFrmi1J\nTauHEn078LtN16JmRMTjgCuAJwNfBqxGxEuarWpnGGBIDarnO/g94PrMfEfT9ah5dVfg9wHf2nAp\nas6zgG+v5z14O3AgIt7WbElqUmZ+pn6/B3gncFmzFalBh4BDC730bqIKNHR2ez5wR2Z+vulC1Jhv\nBv4hM/8pMyfAO4BvaLimHWGAITWknrjxOuDuzPz5putRcyLiSyPinHp7heofob9ttio1JTN/PDMv\nyMwLqboE35yZZ+RvUXRqEbFaT/RMPVTgeYCrmZ2lMvNzwKci4qJ61+WAk3/rahw+crb7JPDPI6Jf\n/x/jcqr59c44Bhi7KCJuAP4SuCgiDkXE9zZdkxr1LOClVL9dPbr81QuaLkqNOA/4s4j4MHAr1RwY\nLp0pCeCJwAci4iBwC/C/M/OPG65Jzfph4Pr634ynA29ouB41KCL6wHOpfuOus1TdK+sm4A7gI1T/\nz39zo0XtEJdRlSRJkiRJS88eGJIkSZIkaekZYEiSJEmSpKVngCFJkiRJkpaeAYYkSZIkSVp6BhiS\nJEmSJGnpGWBIkqRHJCL+Z0T8x3r7ORFxaOG7T0TEN9fb/z4irm2qzkcjIjIintJ0HZIk6cHaTRcg\nSZKWS0R8AngiMAMmwP8Dvj8zPwWQmd//cK6TmW/YwRoD+GHgFcCTgcPAXwKvz8yP7NR9JUlSc+yB\nIUmSTuRfZ+Ye4Dzg88D/aLie4/0i8ErgR4DHA/8M+H3ghU0WJUmSdo4BhiRJOqnMHAI3ARcf3RcR\nb4mI/3KqcyPiP0fE2+rtC+vhGS+LiE9GxL0R8RMLx65ExFsj4nBE3B0Rr10cmnLcdZ8K/CBwdWbe\nnJmjzNzKzOsz86cj4pkR8fmIaC+c850R8aF6u1UPb/l4RKxHxO0R8aQT3KcbEW+s6/18PXRm5eH/\n6UmSpO1kgCFJkk4qIvrAi4APbtMlnw1cBFwOvC4inlbv/0/AhcBXAM8FXvIQ17gcOJSZt5zoy8y8\nFfhCfZ2jXgL8Vr39Y8DVwAuAfcD3AFsnuNTPUPXseDrwFOB84HUP+XSSJGnHGGBIkqQT+f2IOAKs\nUQUBP7tN1/3JzBxk5kHgIHBJvf+7gTdk5uHMPAT894e4xrnAZ09xn7dShyAR8XjgW4Dfrr/7N8B/\nyMyPZuVgZn5h8eR6jo3vA16VmV/MzHXgDcBVD/tJJUnStnIST0mSdCJXZuZ7IqIFXAH8eURcnJmf\ne4zXXTx/C9hTb38Z8KmF7xa3j/cFqrk5HsrbgLsjYg9VOPL+zDwaejwJ+Pgpzv9SoA/cXmUZAATQ\nOsV5kiRph9gDQ5IknVRmzjLzHVQrkjx7B2/1WeCChc8PmpNiwXuBCyLi0pMdkJmfplqV5DuAl3L/\n8BGowpGvPEU99wID4Ksy85z6tb+e2FSSJDXAAEOSJJ1UVK4AHgfcvYO3uhH48Yh4XEScD/zQyQ7M\nzL8DfgW4ISKeExFlRPQi4qqIuGbh0N8EXgt8DfDOhf3XAj8VEU+tn+9rI+Lc4+4xB34deFNEPAEg\nIs6PiG/ZjoeVJEmPnAGGJEk6kT+IiA2qOTD+K/CyzLxrB+/3euAQ8A/Ae6hWPhk9xPE/AvwS8MvA\nEaohId8B/MHCMe8Evhx4Z2ZuLuz/earA5N1Uz3cdcKLVRf4d8DHggxGxVtd10SN9MEmStD0iM5uu\nQZIk6QEi4geAqzLzmx7jdT4O/NvMfM/2VCZJkppiDwxJktS4iDgvIp4VEUVEXAS8mgcO+3g01/xO\nIIGbt6NGSZLULFchkSRJy6AEfg14MtWQkLdTzXPxqETE+4CLgZfW81lIkqTTnENIJEmSJEnS0nMI\niSRJkiRJWnoGGJIkSZIkaekZYEiSJEmSpKVngCFJkiRJkpaeAYYkSZIkSVp6/x+ExjvsBNJm+wAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualization\n",
    "fig, ax = plt.subplots(figsize=(15, 8))\n",
    "grouped.T.plot(kind='line', marker='o', ax=ax)\n",
    "ax.set_xlabel('Billing Cycle', fontsize=12)\n",
    "ax.set_ylabel('Retention Rate', fontsize=12)\n",
    "ax.grid(True)\n",
    "ax.legend(fontsize=16)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Influence of `Source`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>source</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ads</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.388873</td>\n",
       "      <td>0.222094</td>\n",
       "      <td>0.152607</td>\n",
       "      <td>0.114959</td>\n",
       "      <td>0.092043</td>\n",
       "      <td>0.076756</td>\n",
       "      <td>0.066237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>friend_referral</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.699443</td>\n",
       "      <td>0.617038</td>\n",
       "      <td>0.561282</td>\n",
       "      <td>0.519854</td>\n",
       "      <td>0.487596</td>\n",
       "      <td>0.461110</td>\n",
       "      <td>0.436507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>seo</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.562395</td>\n",
       "      <td>0.420012</td>\n",
       "      <td>0.337594</td>\n",
       "      <td>0.286254</td>\n",
       "      <td>0.247877</td>\n",
       "      <td>0.218680</td>\n",
       "      <td>0.194475</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   1         2         3         4         5         6  \\\n",
       "source                                                                   \n",
       "ads              1.0  0.388873  0.222094  0.152607  0.114959  0.092043   \n",
       "friend_referral  1.0  0.699443  0.617038  0.561282  0.519854  0.487596   \n",
       "seo              1.0  0.562395  0.420012  0.337594  0.286254  0.247877   \n",
       "\n",
       "                        7         8  \n",
       "source                               \n",
       "ads              0.076756  0.066237  \n",
       "friend_referral  0.461110  0.436507  \n",
       "seo              0.218680  0.194475  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# calculate the retention rate for each montly cost\n",
    "grouped = data.groupby('source').apply(retention_rate)\n",
    "grouped"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bL774gg8++IDHH3+c9u3bp63zwAMPsGvXLpo3b87bb7/NhAkTaNGiBTt37qRf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\nAgwAAJC3w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      "text/plain": [
       "<Figure size 1080x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualization\n",
    "fig, ax = plt.subplots(figsize=(15, 8))\n",
    "grouped.T.plot(kind='line', marker='o', ax=ax)\n",
    "ax.set_xlabel('Billing Cycle', fontsize=12)\n",
    "ax.set_ylabel('Retention Rate', fontsize=12)\n",
    "ax.grid(True)\n",
    "ax.legend(fontsize=16)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There exist some good analysis in [this notebook](https://github.com/stasi009/TakeHomeDataChallenges/blob/master/19.SubscribeRetention/subscribe_retention.ipynb). Please refer to it for details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}