GB_Prices.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kaggle house price predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://www.kaggle.com/c/house-prices-advanced-regression-techniques"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train = pd.read_csv('data/train.csv')\n",
    "test = pd.read_csv('data/test.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train data shape: (1460, 81)\n",
      "Test data shape: (1459, 80)\n"
     ]
    }
   ],
   "source": [
    "print (\"Train data shape:\", train.shape)\n",
    "print (\"Test data shape:\", test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Explore"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>...</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "      <th>SalePrice</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>208500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>80.0</td>\n",
       "      <td>9600</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>181500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>68.0</td>\n",
       "      <td>11250</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>223500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>70</td>\n",
       "      <td>RL</td>\n",
       "      <td>60.0</td>\n",
       "      <td>9550</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2006</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>140000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>250000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 81 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Id  MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "0   1          60       RL         65.0     8450   Pave   NaN      Reg   \n",
       "1   2          20       RL         80.0     9600   Pave   NaN      Reg   \n",
       "2   3          60       RL         68.0    11250   Pave   NaN      IR1   \n",
       "3   4          70       RL         60.0     9550   Pave   NaN      IR1   \n",
       "4   5          60       RL         84.0    14260   Pave   NaN      IR1   \n",
       "\n",
       "  LandContour Utilities    ...     PoolArea PoolQC Fence MiscFeature MiscVal  \\\n",
       "0         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "1         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "2         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "3         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "4         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "\n",
       "  MoSold YrSold  SaleType  SaleCondition  SalePrice  \n",
       "0      2   2008        WD         Normal     208500  \n",
       "1      5   2007        WD         Normal     181500  \n",
       "2      9   2008        WD         Normal     223500  \n",
       "3      2   2006        WD        Abnorml     140000  \n",
       "4     12   2008        WD         Normal     250000  \n",
       "\n",
       "[5 rows x 81 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Numerical Features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 1460 entries, 0 to 1459\n",
      "Data columns (total 38 columns):\n",
      "Id               1460 non-null int64\n",
      "MSSubClass       1460 non-null int64\n",
      "LotFrontage      1201 non-null float64\n",
      "LotArea          1460 non-null int64\n",
      "OverallQual      1460 non-null int64\n",
      "OverallCond      1460 non-null int64\n",
      "YearBuilt        1460 non-null int64\n",
      "YearRemodAdd     1460 non-null int64\n",
      "MasVnrArea       1452 non-null float64\n",
      "BsmtFinSF1       1460 non-null int64\n",
      "BsmtFinSF2       1460 non-null int64\n",
      "BsmtUnfSF        1460 non-null int64\n",
      "TotalBsmtSF      1460 non-null int64\n",
      "1stFlrSF         1460 non-null int64\n",
      "2ndFlrSF         1460 non-null int64\n",
      "LowQualFinSF     1460 non-null int64\n",
      "GrLivArea        1460 non-null int64\n",
      "BsmtFullBath     1460 non-null int64\n",
      "BsmtHalfBath     1460 non-null int64\n",
      "FullBath         1460 non-null int64\n",
      "HalfBath         1460 non-null int64\n",
      "BedroomAbvGr     1460 non-null int64\n",
      "KitchenAbvGr     1460 non-null int64\n",
      "TotRmsAbvGrd     1460 non-null int64\n",
      "Fireplaces       1460 non-null int64\n",
      "GarageYrBlt      1379 non-null float64\n",
      "GarageCars       1460 non-null int64\n",
      "GarageArea       1460 non-null int64\n",
      "WoodDeckSF       1460 non-null int64\n",
      "OpenPorchSF      1460 non-null int64\n",
      "EnclosedPorch    1460 non-null int64\n",
      "3SsnPorch        1460 non-null int64\n",
      "ScreenPorch      1460 non-null int64\n",
      "PoolArea         1460 non-null int64\n",
      "MiscVal          1460 non-null int64\n",
      "MoSold           1460 non-null int64\n",
      "YrSold           1460 non-null int64\n",
      "SalePrice        1460 non-null int64\n",
      "dtypes: float64(3), int64(35)\n",
      "memory usage: 433.5 KB\n"
     ]
    }
   ],
   "source": [
    "numeric_features = train.select_dtypes(include=[np.number])  # returns a sub set of the columns\n",
    "numeric_features.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABJQAAAN9CAYAAADFRiOBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmcHUW597+/gEQwwATEBAEZQYJ4UTaBuCBhk0VZ9IqA\nV8ggroCyqJfgRZPoqyz3KgFRQcEQfCMECQoosr1M8KosIgyiEEAlIYBJLglhvxHI8/5RdTI9Z85J\nZnKq+/Q55/l+PvOZ7urqquo+9XRVV9fzK5kZjuM4juM4juM4juM4jjNURjS7AI7jOI7jOI7jOI7j\nOE5r4QNKjuM4juM4juM4juM4zrDwASXHcRzHcRzHcRzHcRxnWPiAkuM4juM4juM4juM4jjMsfEDJ\ncRzHcRzHcRzHcRzHGRY+oOQ4juM4juM4juM4juMMCx9QanEkTZT0380uh+PkyVDruaQ9JS0ookyO\n0ylIelTS3s0uh9N6SFohaatml2N1SNoyltX7xU7LI+k5Sd3NLofjNBO3g+LwhjNnJJ0g6Q+S/lfS\nj4d4zoDOe6aj82z8e07SvZlTbDXpHSrpXknLJC2WdLOkN8VjkyX9M5Pus5K+tEYX6zgZJK0j6WJJ\n8yQ9I+mPkg5oIMmV9Tzaw3OZeru0Vrw65XqvpN9Fe3hK0n9L2iUemyjplSp7OL+BMjsdhKSfSHoy\n1ve5ko7LHPuKpL/HOvWYpMsT5DdH0ksxzcWSZksa02i6TmcTn9kvxnq1RNJ1kjZbw+RW+TwuGkkT\nYvtRq5+zxmWVNFbSDyU9Ee/bXyX9WNK4BorrtACJ7aVeHpMlXVYVln3+V/oruwOY2fpmNm+Iaa/R\nO4Kkw2Nf6gVJt6a8Xqf16GA7+E9JD8d+3wOSjk55za2CDyjlzxPAN4BLGkzHgA3NbINoIDut7gRJ\na0naGpgBnGJmXcCbge8DKzJRr8iku4GZ/VeDZXUcgLWBx4A9zGxD4GvAlZUHdIMY8I5Mvd1odSdE\ne1gfuA44DxgNbAZMBZZnov6+yh6+kKC8TmfwLWDLWN8PBf6PpJ0kHQP8G7C3mW0AvBP4fwnyM+D4\nmOY4oAs4d7iJSForQVmc9sGAD8R6tSmwGPjuGqalugeaMxvoGGAJMDFVgpI2An4PrAu8J963nYHb\ngP3qnOM21z6ktJfh5nt8VX/lzuEk0OA7whJCe3Nm45fitAGdagfPE657Q6AHOE/S+EYvqtXwAaWc\nMbNfmNm1QHYGBZI2jqO3T8eR3Nti+GXAm4DrNHi2UN2OWSbdFZKOl/Qw8DCwI/B3M5sTy/OCmf3c\nzB5Pc4WOUxsze9HMvm5mC+L+r4BHgV0UXdMknSppUfyq21M5V9JGkq6NI/53AFtXJS+GZg+PSvp3\nSfcRHvrjQlHsSgssN7NbzOzPiS7b6WDM7EEzezkTtIJQd3cFbqx8KTOzxWZ2cSWSpB5Jf4vP/L9J\nOiqGT1SYQfefkpbGY9Wz/BTTXAbMBraP524g6bL4pe1RSf+RyW+ipN9K+o6kJcDkGP6p+IXtWUl/\nlrRjJp+dJN0X26zLJa2T5q45JaVSr/4JXAW8DVbOPP0vSfMl/UPS9yWNXHmS9GWFWXqPSzqWgTNL\np8f4v5L0HDBhNfVUks6IX74XSrpU0gbxWGXmdo/CjL8lkj4j6Z2xni6VNOBlRtK6wEeAE4BtJO1c\n45qPi+3RE5JOjedtqvDlvSuT1k6S/icODJ0KPGNmR2ds/Fkzm2Fm36sq7yckzSfNgLJTHurZy0GS\n/hKfqQsydarSB/pypg90qKQDJT2kMHv69Bh3f+ArwBEa7KFQsx+kjKtptLsLJP0yluN2SW+OUdf4\nHcHMbjWzq4B/DPtuOe1KJ9rBVDN7JG7fBfw38K7h3bbWxweUmscXgQXAxsAbCEaCmR1DmNXxwRqz\nhVb7Ah05lPAC8zbgHuCt8cVhgqTXpboAxxkOCq442wB/iUFjgfWBNwKfBL4nacN47PvAi8AY4Djg\nEw1kfSRwIGH2xsPAq/HF5IDsC4LjpEDS9yS9ADxI6GhfD9wBHCPpS5J2UWZmhqT1CDPm9o9f9t4N\n9GWS3C2mtTHwn9SZ7Srp9cC/Ep75ABcQ7KsbmBDzPzZzyu7AX4FNgG9KOpwwi/DjsRyHEL5AVzgc\neD/hy90OhC9xTpsT6+cRwO0x6BzgLcA74v/NCPUGhcHOU4F9CM/6fWskeRTwDTNbH/gdq66nxxJm\nFO0JbBXjXVCV3m6xHEcA0wh9qb0JA6sflbRHJu5HgOeAnwE3xbSrmUAYBN4fmCRpbzP7B2EG0r9W\nXceVZvZqvN6f10irFu8D3hrTd9qMaC9H0m8vFwOfis/U7YGsa9hYYB1CH2gy8CPCTNadCPXka5K6\nzexGwuzXWUP1UGCw++aRMY8u4G/AN2O4vyM4yelUO4gfLXal/z2nY/ABpebxMmFK4JvN7FUz+13V\n8erBIwH/o/B1eGlldLcO3zKzZ+Lsi0cJHaQ3ArNiGtOjsVc4IqZZSXtsY5fmOAORtDbwf4FLzezh\nGPxPwovFq2b2a8IMom3jy/aHga+a2f+a2V8IU1GruSdTZ6etIvvzzOzJaA/PAe8lzBz5IbBY0jWS\nNsnEf1eVPezW2NU7nYSZnQCMItSzq4HlZjYT+DxhQGYOsEjSaZnTXgXeLum1ZrbIzB7MHJtvZj82\nMyPYwaaS3pA5/l0FDbF7gSeBL0Yb+igwKc4UnA98G8j69j9hZt83sxVmtpwwcHuOmd0Tr+PvldmF\nkfNi2ZYR3Eazs5ec9uMXsV49QxgYqnzc+iTBLeAZM3sBOIswuAJh0HF6nKn3EjClRrrXmNkdcftl\nVl1PPwZ8x8zmm9mLwOnAkZkBWQO+bmb/NLNbgBeAy81siZk9SfhSnH3pOIbgtmDAT4GjNNj1bEps\nd/4MTM9c2+WxPBWOjGkAvB5YWDkg6eDYfjwr6YbMOQZMNrOXos057UPWXvah317+CfyLpPWjzWQ/\nFvyT0F9/FbiCUI+mRVt4gPBS+o7V5Ht+pr9ydya8+h3iajP7o5mtAGYSn9/+juAkptPt4ELgXjO7\naTXlbTt8QKl5nEMYHb1JQbzxtNXEN2BjMxttZhuZ2XdWEXfAFD0zu8vMjjSzMcAehBHf/8hEmRXT\nrKS9EMdJhCQRBpOWE16qKyyJD/UKLxJexDcB1mJgPZ5fI+mdMnX25FUUodoeHjKzT5jZmwhfSt5I\n+LJd4fYqe7hrddfoOFks8HtgC+BzMexyM3s/4cvYZ4GvS9ovvigfEeP9Q8EVettMcgsz6b4UN0dl\njn8+1tMtLLjcLCF0yF5DmO1aYT5hNkmF6tUQtyC0SfVYlNmu2KrTvhxqQZtuHcJz+zeStgDWA/4Y\nO9RLgV8TZs9BeJZm69V8Bnfos8dXV0/fyMBn/3yCNl9WeH5xZvslBtbTl4j1NJZ9L/oHga4laB59\nIBPfGNzuvDFuXwWMVxDf3hNYkfkQuITwgTAkYnadmY0GTiHcvywuN9Ce1LKXNxBmtX0AmC+pVwO1\nVZbEwU0IdRUG1+fVPWe/kOmvvHMV8bL9+gHPb39HcBLSsXYg6T8JnkFHrKasbYkPKDUJC/6ZXzKz\nrYGDgVMl7VU5XOe0obq81V2pxMz+SPhqvv2QC+s4jXEJ4cXhw/ELxOr4H8KMjS0yYbWEvFPYw8PA\npbg9OPmwNlX6XxZm5M0G/kSsd2Z2cxxsGgs8RJg91whPEWZ/bJkJ25KwSMTKolSds6C6rE5HU9HC\nMDP7OeGZPJ7QCf+X2KHeyMy6LIiRQnDxzD63t2RwPcvur66ePlnj2MsMHDQaKkfHa7pO0j8Ig6cj\nGez2Vt3uPAlgZs8Q3OSOIMxayq7S+P+Aw4ZYjlKteucko5a9vDfOhjiM8KHsGuDKNUy/kHrj7whO\ng3SkHUiaSnBj3s/Mns+zbGXFB5RyRmFlqdcSZlysLWlkDPuAgqo8BFefV+IfhM7SVtVJrWH+75H0\nyYpLj6S3ErQxbl/1mY7TOJIuJOhFHGJBpG+1xFlLs4EpktaV9DYSrcgjaVsFIfDN4v4WhJcDtwen\nISRtIukISa+TNEJBQPJI4FYFEeyDJI1S4EDCl6w7Jb0husisR3hZfp7QCVtjog1dSdBGGiVpS8Js\niZ+s4rSLgS8pChVL2jrah9PhSDqUMLPuzwR9i2mZPsVmkt4fo14J9EjaLtbnr60q3SHU08uBUyR1\nSxpF0Lu4IjOzdTj9oqMJLng7EjTAdiBoKn1Q0uhMel+N7c6/EDScrsikcTlhAOrD9M90AvgOMFrS\nT9QvALs+g91C16gf57QWGXt5RNLHJG0QP6Y9R38/f7gsArrjjO9kNPKOENu5kYRZhmvF95u1U5bP\naV06yA5OJ7xH7GdBEqAj8QGl/DmD8EXvNILI2IuEKXTbALcorHTyO+B7Zvbf8ZwzCZ2arFbSUEdl\nq+MtIxjF/ZKeJQjEziaIuzpObkh6E/BpQqd6kcKqDM8qrmBVg2zd/TxBgPUfwI/jX724q6I63nME\nMeI7o+39njBT5EvVJzrOMDGC29oCwqqe5wAnmdl1wLMEseD5wNME3ZnPRre4EYRFGp4gzNh4H3D8\navKptV3NFwjtzd+B3wD/18ym1000rNbzTeCnsa34ObDREPJx2pPKSrPPAN8AjrGg7TWJIOZ+h6Rl\nhFk74wDM7AaC+/CthAUQhrKS2arq6Y8Jg0u/IcwoejHGr7Cq2U8r9yXtTpjd9H0LKyxW/q4DHqFf\nJ8mA2+L13UzQFMtew7WEvttCM7t/ZSbBzXQ88L/Ab6P93ENwp/jcKsrntA+D7AWYSxjIfDTayqcJ\n7wH1WFV9/hlhQHJJRiNmVfVpqHWtkXeEownuSN8jaAa+SOOza53WphPt4JuEma2PZN5zJg0x37ZB\n/W6La3CydAnwQWCRmb0jhu1AEKV6LeFr6wlm9od47HzCaksvAD02UJTLcVoSSScRhEoBfmRm58cv\nnrMIndh5wEfjlHm3A6clqfW8j+GfJyzD/TLwKzObFMNPJ6zO9wphYOWmGH4A4aVzBHCJmZ1d6IU4\nTk54W+B0OgortV5McBVZQWgDHsZtwGkz6vWJ4rEvET4qvd7MlsawmnVd0kTCRAMDvmlmlxV3FY6T\nhkZnKE1n8NKn5xBWsdiJsDTfOQCSDgK2NrNtgM8QBp0cp6WJ0+KPA95JmInzQUlvIXzFvcXMtiV8\nrT09xj8QtwOnNRn0vJc0gaABt72ZvZ24ooek7QirN21H6EB9P7p6jSAs+70/8C+EVZbeWtgVOE5O\neFvgOACcB1xvZtsR3Arn4jbgtCe13oGRtDlhZcz5mbCadT1+cPgaYan53YHJcVDWcVqKhgaUzOy3\nhOn7WVYAFWPool9c8RDgsnjencCGksbgOK3NdsAdFpakf5UwNf9DhPpeWep+BnBo3D4UtwOnBanz\nvP8ccJaZvRLjPBXDDyVonbxiZvMIbiW7xb9HLCwD/jJBn+RQHKf18bbA6WiibtQeFZfF+Px/hlDX\n3QactqJOnwjgXODLVWH16vr+wE1m9kzU37kJOCC/UjtOPuShoXQK8F+SHiPMTjo9hm/GwOVin2Dg\nEsaO04r8GXifpNFRhPQggi/tGDNbBBCXlnxDjO924LQT4wj1/w6FpWB3ieH16nl1+ON4/XfaA28L\nnE5nK+ApSdMl3SPph9EW3AacjkDSwcCCrMZapF7fx23AaQvyUOP/HEEv4xeSPkIQVdyP2qtbuECh\n09KY2VxJZwO3EASf+1j16gVuB047sTbQZWbjJe1KEEzcivr1vNZHDK//TsvjbYHjsDawM0E79W5J\n5xLc3erVa7cBp22QtC5BC2m/Wodr7FuNcHAbcFqQPAaUJprZSRBWjZF0cQx/nPC1rsLmwJPVJ0ty\nQ3KSY2a5Ldcbp3dPB5D0TcLXhkWSxpjZIkljgcUxutuB0zRysIMFwNUx7T9IelXSxoR6/qZMvEo9\nV53wQbgNOHngbYHj5GYHjxNmZ1RWX5pNGFByG3BKRw42sDXQDdwXl7XfHLhH0m7Ur+uPAxOqwntr\nJe524KQmpQ2kcHkTA0dYn5C0J4CkfQjaGRCWWz0mho8HllWmwFZjZoX/TZ482fNtwzzN8n/+Stok\n/n8TQTPj8ljfe2KUHuCauO12UII8OzHfVNWdgc/7XwD7xPo8DljHwhLa1wJHSFpH0puBtwB3AX8A\n3iJpS0nrAEfGuDVph9/C8yhH+mad3RakvL9lTMvLNPS/vLBQfxfEtgBC2/AXSmIDRd3fds6jHa7B\nLKkNrOwTmdmfzWysmW1lZm8mDBbtZGaLV1HXbwT2k7RhFOjeL4bVpGz3t92fle18falpaIaSpJ8S\nRlY3jppJk4FPAedLWgv4X+DTAGZ2vaSDJP2VsGTisY3k3Shjx3azaFEQ4B8zZksOOGBCU8oxb968\njsm3WddaALMlbURYNv14M3smuj5cKekTwGPA4VA+O6imk+pFp+XbKHWe9z8Gpku6H1hO7DCZ2QOS\nrgQeoN8uDHhV0okE4ckRwCVm9mDhFxMp4rfwPMqRfkGUti1IeX/LmJaXqTR8AZgp6TXA3wn1ei1K\nYAOroh2eoUXk0Q7XkIpafSKLgvSRlS5t9eq6mT0t6RvA3TH+VAvi3LlRxudSGcuUMq0ylik1DQ0o\nmdnH6hx6Z534JzaSX0rCYJLF7dxmwDsdgJm9r0bYUsKyobXil8YOHGeorOJ5f3Sd+GcCZ9YIvwHY\nNmHRHKcUeFvgdDpmdh9hCfRq3AactmIVfaLK8a2q9mvWdTO7FLg0WcEcpwnkscpbS9LT0+P5tmGe\nzvDopHrRafk6gynit/A8ypF+p5Py/pYxLS+T0wjt8AwtIo92uIZOp4zPpTKWKWVaZSxTapSHH10j\nSLIiyhT00ir5KBd/QqccSMJyFGLNg6LswOkcWs0O3Aac1LSaDYDbgZOeVrMDtwEnNa1mA+B24KQl\ntQ00NENJ0iWSFkn6U1X45yXNlXS/pLMy4adLekTSg5Le30jeqZkzZ47n24Z5FoGkUyT9WdKfJM2M\nQsTdku6Q9JCkyyWtHeOuI+mKaAe3R/HWmtxzzz0sWlRTnzI3OqledFq+zmCK+C08j3KkXwR5tQUp\nSHl/y5iWl8lphHZ4hhaRRztcQyszZcoUrr766obSKONzqYxlSplWGcuUmkZd3qYD+2cDJE0ADga2\nN7O3A/8Vw7cDPgpsBxwIfD8uq+g4LYukNwKfB3Y2s3cQdMmOAs4Gvm1m2wLLgOPiKccBS81sG2Aa\ncE69tPfc8+PssceBeRbfcYZMvQ8I8diXJK2IgsSVsPPjy3KfpB0z4RMlPRxfsI8pqvyOkyd5tgWO\n4ziOM3Xqsxx33BeaXQzHGUTDLm+StgSuix0oJM0CLjKzW6viTQLMzM6O+78GppjZnVXx3OXNSUqe\nU1vjS8TtwI7Ac8DVwHeBmcBYM1sRlwidbGYHSrohbt8ZV0JcaGab1EjXYC6bbnoITz75UB5FdzqM\nRu1A0nuB54HLKs/7GL45cDFBaHsXM1sq6UDgRDP7gKTdgfPMbHxcFvduYGfC6id/JLyAP1MjP5/e\n7SSlVdsCtwMnJa3m7uM24KSm1WwAKu8FC+jqGs/TTz/e7OI4LU6pXN7qMA54X5zi3Stplxi+GbAg\nE++JGOY4LYuZPQl8m7AU7hPAM8A9wDIzWxGjPU5/XV9pB2b2KrAsO6vDccqKmf0WeLrGoXOBL1eF\nHQpcFs+7E9hQ0hjCjNabzOyZuDTuTcAB9fJ87WvXZ731NuT2229PcQmOkxveFjiO43QOtWZtSzon\nyrr0SZotaYPMsZqyL5IOiDIxD0s6rejrcJwUrJ1Tml3xa/SuwM+ArQhfo6up+cmhp6eH7u5uALq6\nuthxxx2ZMGEC0O872Oh+P3NWhk+YMCFZ+kPdnzZtWi7XN5TrL/p6q/POK7++vj6WLVsGwLx588gT\nSV2El+ctCS8QPyO4dFbTPx2uKgnq2AFM4rnnnmLKlCm52UEn1Yvq/b6+Pk4++eTC8iv6eouwA0kH\nAwvM7P4qD+bqDwiVF+lhfVhYvvxJRo36BI8++ijvete70hU8Unnu54nnUY708ybPtiBFn6gSVoZn\n54c/fCRPPx30AUeNGs11111dqrYrVduQ8lnfyPUV2SdqVdrhGVpEHu1wDQmZTpiFelkm7CZgUpyR\nehZwOnC6pLfRL/uyOXCLpG0Iz/0LgH2AJ4E/SLrGzObmVeiU9zdVWmUsU8q0ylim5JhZQ3+EztOf\nMvvXA+/L7D8CbAxMIhhZJfwGYPca6VkRAAYW/7De3t5C8q2mk/Jt1rXGOtVwXa/1B3wE+FFm/2jg\n+8BiYEQMGw/82qrqPbAWsLhOugZzbdNNx+V+f7J0Ur3otHxT2EH2eQ+sC9wBrB/3HwU2itu/BN6d\nOe8WYCfgS8BXMuFnAKfUycvAbNSoo2zmzJm53JMifgvPoxzpm7VuW5CClPe30bSq+19lKFMeaZWx\nTGa528E84D7gXuCuGDaa8KL9EHAjsGEm/vnxPaEP2LFOmtbdvYN1d+9gv/rVr5Ldhyzt8AwtIo92\nuAazdDZQ/Q5cdeww4CdxexJwWubYr4Hds21CrXhV6RkssK6uzRq69jI+l8pYppRplbFMqduBFBpK\n3QQNpbfH/U8Dm5nZZEnjgJvNbMs4OjszGtBmwM3ANlZVANdQclKTs27GbsAlwK7AcsIXiz8A7wOu\nNrNZkn4A3GdmF0o6niBYf7ykI4HDzOzIGum6hpKTlBR2kNXMk7Q9YaDoRcJXts0JM452A74O9JrZ\nrHjeXGBPYC9ggpl9NoZfmI1XlZfBRF7zmj9y8MHj2GOPPZoym9P3W3e/embGjBkzWrItaLf+ife/\nmkvOfaK/E7T0ns6EnQ0sMbNzokvPaDObVE9rr0aaFsanLuKMMzbhG9/4eh5FdzqIVDZQrSNcdexa\n4HIzu1zSd4Hbzeyn8djFhAkYAvY3s0/H8I8Du5nZIOVt11ByUpK6HWhoQEnST4EJhBlIi4DJwE8I\nHakdCZ2qL5rZbTH+6YSVTV4GTjKzm2qk6QNKTlLyFt+TNBk4klCv7wU+SXi5voLwZe5e4ONm9rKk\nkQQb2QlYAhxpZvNqpOkDSk5SEg0odZP5gFB17FGCwPbTkg4CTogvCuOBaTZYlHtE3N7Fgp5SdXoG\nxqhRH+Oiiz7Ixz72sUaK7jgt2xa0W//E+1/NJecBpUeBd5rZkkzYXGBPM1skaSzhI8J21R8UJD1I\n+OCwqCpNC/Xl65xxxis+oOQ0TN4DSpL+g9Af+te4fwHw+6oBpV8RZqe+v2pAaVczO6lGXgYfYeTI\nG5k06dTCpDB8vz32p02bRl9f30r3+alTp6ZtB1JOd0rxh7u8tW2+rezqU/Qf7vLm+SamUTsAfkrw\n8V9OEB4+tur434kub3H/AuCvBPeHnTPhPQQXh4eBY1aRn7u8dVAereTmUORfqj5RmabcV/e/ylCm\nPNIqY5nM8rWD2A7cTZid98kY9nRVnCXx/3UMdo3euUaasa5MtTPO+Gqy+5ClHZ6hReTRDtdgls4G\nqOHyBkwEfgeMzIRVu7zdQL/L2w314lWl6y5vLZpWGcuUuh3IQ5S7ZRk7tptFi+YDMGbMlixcOK+5\nBXIcxykJZrbKKUJmtlXV/ol14l0KXJqsYI7jOE5ZeLeZLZS0CXCTpIeou/DI0BfrcZySIjL1WNIB\nwL8TtISXZ+JdC8yUdC5B9uUtwF2EmdpviTOd/kGY4XpUQWV3nGQ06vJ2CfBBYJENnu73JeAc4PVm\ntjSGnU9Y9eQFoMfM+mqkaY2UaRhlp3rKtU/Dbk9ynt49DphFqDgirGj4VYIrwyzC14t5wEfN7Jl4\nzpDswF3enJTk7e6TGnd5c1LTqm1Bu/VFvK/VXIpqC6IL6PME188JtnqXt5WucVXpWJj0MZ899ljB\nhz/8IXf18f1h7eehp1dH9uUrwDoEN2aAO8zs+Bi/puxLHIQ6jzC4dImZnVUnP9dQcpJRNg2l9xIa\ni8uyA0qSNgcuBrYl6GMsHY74ng8oOSkpsPM0grA8+u7AiTQsQukDSk46fEDJ6XRatS1ot76I97Wa\nS152IGk9woqGz0t6HWFlt6mEJdGXmtnZkiYBXdEGamrt1UjXNZScpLRafwh8QMlJS2obGNHIyWb2\nW+DpGofOBb5cFXYocFk8705gQ0ljGsk/JZURbc+3vfIsmH2Bv5nZAkJ9nxHDZ8R9cDsoRZ6dmK8z\nmCJ+C8+jHOkXTOnagpT3t4y/VRmvr4xlypkxwG8l3QvcQRArvgk4G9gvur/tA5wFYGbXA49K+itw\nEXB8c4rdHs/QIvJoh2vodMr4XCpjmVKmVcYypSa5hpKkg4EFZnZ/+Aq1ks2ABZn9J2LYgKmtzWEk\ne+21V7ML4bQ+RxCEiwHGVKZtRz2BN8TwEtuB49SnlouzpHOAgwlC3X8jCHU/G4+dDnwCeIXB07un\n0T+9++yir8VxcsbbAqfjMLNHCSs8V4cvJQyy1jqnptae4ziO0zo05PIGA5dMlLQu0AvsZ2bPxeVD\nKy5vvwS+ZWa/j+fdAnzZzO6tSi+36d1Z0e1A/5TrftkDn4bdbhQxtVXSawgrYG1nZk9JWmpmG2WO\nLzGzjYdjB+7y5qSkUTuo5eIsaV/gVjNbIekswqoRp0t6GzAT2JWwbPotwDaEh+zDhK/UTxJWAjrS\nzObWyM9d3pyktGpb0G59EXd5ay6t5u7jLm9OalrNBsBd3py0pLaB1DOUtga6gfsUegybA/dI2o2g\nJ7BFJu7mhE7XIHp6euju7gagq6srmfheGEzqjblUZiTNqcp94H4ZxOR8vzHxvYI4EPijmT0V9xdJ\nGpMRoVwcw4dsBzCJ5557iilTpiS1A9/vjP3UdmBmv40fELJht2R27wD+NW4fAlxhZq8A8yQ9AuxG\nGFB6xMzmA0i6guD6M2hAyXFalORtQV59ombuZ5kzZ07Ty9PO+03qEzmO4zidgpk19EcYQLq/zrFH\nCQKUAAcBv4rb4wnK97XOsbwADCz+VW/3Dgorgt7e3kLyKUO+zbrW+Fs2XNdX9QdcDkzM7J8NnBa3\nJwFn2TALvPGLAAAgAElEQVTtAObappuOy/fmVNFJ9aLT8k1hB4SVqv5U59i1wFFx+7vAxzLHLgY+\nTBhw+mEm/OPA+XXSMzAbNeoomzlzZi73pIjfwvMoR/pmrdsWpCDl/W00rTz6WmW6vtTppE6rCDtI\n+ddfX6baGWd8Ndl9yNIOz9Ai8miHazBL1h+6hOCi/KdM2GiCGP1DwI3Ahplj5wOPAH3AjpnwiYSZ\n2w8Bx6wiP4MF1tW1WUPXXsbnUhnLlDKtMpYpdTvQkCh3XDLx98A4SY9JOrYqSsWPDCuR+J7jpCS6\neu4LXJ0JLr0IpeOkQtJ/AC+b2eWVoBrRbBXhjtPyeFvgOI7TMUwH9q8KmwTcYmbbArcCpwPEVT23\nNrNtgM8AF8bw0cDXCPIAuwOTJW1YTPEdJx0NayilJk+9gGq/fddQ6gxa11faNZScdKSwg6xmXiZs\nIvBpYG8zWx7DJhG+fpwd928AJhMeslPM7IBa8aryMpjIa17zRw4+eBx77LFHW7j6+H5x+9WuPjNm\nzGjJtqDd+iKuodRcWq1P5BpKTmpS2UB1n0jSXGBP63dx7jWz7SRdGLdnxXgPAhMI+it7mtnnYvgP\ngDmVeFV5uYaSk4zU7YAPKA3Y9k5OO9JqnSfwASUnPYkGlLoJnae3x/0DgG8D7zOzJZl4FVHu3Qkr\nV91MEOUeQZjWvQ/wD+AugpvcgzXyclFuJymt2ha0W1/EB5SaS6vZgQ8oOanJcUCp3iIM1wFnWv8i\nDDcDpxEGlEaa2bdi+BnAi2b2nRp5+YCSk4zU7UBDLm/txZzm5FpDoLJd823WtTpDp5PqRafl2yh1\nXJy/C4wCbpZ0j6TvA5jZA8CVwAPA9cDx0W37VeBEgsbAXwjC3YMGk4qiiN/C8yhH+p1Oyvtbxt+q\njNdXxjI5tWmHZ2gRebTDNTSJ6hf37EyGanIdYS/jc6mMZUqZVhnLlJqGVnmTdAnwQWBRZnT2HOBg\nYDnwN+BYM3s2Hjsd+ATwCnCSmd3USP6OUwaiv/PFwPbACkIdfxiYRRAxngd81MyeifHPJ6wE9ALQ\nY2Z9TSi24wwLM6s1RWj6KuKfCZxZI/wGYNuERXOcUuBtgeOApBHA3cDjZnZInNl6BUGw+B7gaDN7\nRdI6wGXALsBTwBFm9lhzSu04SRjuqp6PE1zfsuG91OUUXnrp2YZWf66Qyq28TG7ufn3196dNm0Zf\nX9/KFWNT05DLm6T3As8Dl2UGlPYFbjWzFZLOIuhjnJ5xgdiVYDC3ANtUz+V2lzcnNXlP75Z0KXCb\nmU2XtDbwOuArwBIzO0fSaYTVDidFYb4TzewDknYHzjOz8TXSdJc3Jymt6ubgLm9OKlq1LWi3voi7\nvDWXAuzgFMIg0QZxQGkWcJWZ/SxqxPSZ2UWSPge83cyOl3QE8CEzO7JGeu7y5iQloctbNwNlAM4G\nlprZ2VEjsis+7w8CTojP+/HANDMbH0W57wZ2JngN3Q3sYmbLauTlLm9OMkrl8mZmvwWergq7xcxW\nxN07CINHAIcQ3BteMbN5hKUTd2skf8dpNpLWB/Yws+kAsX4/AxwKzIjRZsR94v/LYtw7gQ0ljSm2\n1I7jOE5KvC1wHJC0OXAQYaZehb2B2XF7BnBY3M7axlUEbT3HaQnqyACcxTBW9TSzp4FvEAaS7gSm\n1hpMcpyyk7eG0icI+hkQhFkXZI49EcNKwpyq/ZFIYuzY7nxz7SAdl7L6fTbIVsBTkqZHDZkfSloP\nGGNmiwDMbCHwhhi/1HbQSfWi0/J1BtMuehDtkEcb2EWp24J213Ao4/WVsUwFcC7wZeIUNEkbA09n\nPjQ/Tn89X2kDUV9vmaSNaALt8AwtIo92uIZUmNnHzOyNZjbSzN5kZtPN7Gkz29fMtjWz/bKDQ2Z2\nopm9xcx2MLN7MuGXmtk2ZjbOzC7Lu9xlfC6VsUwp0ypjmVKT24CSpP8AXjazyytBNaKVeJ7zcsBY\ntGh+swvilJu1CVNVv2dmOxO0MCZRv263mB04TkDSJZIWSfpTJmy0pJskPSTpxqghUzl2vqRHJPVJ\n2jETPlHSw/GcY4q+DsfJCW8LnI5G0gcImqp99NdvMbiuZ/UmBiSB24DjOE7L0ZAodz0kTSRMed07\nE1xPkGwQPT09K0Wj1lR0rN7+4JlIlf16x0MaeYls5Z1+mfYnTJhQSH59fX0sWxY+CsybN4+ceRxY\nYGZ3x/3ZhJeI4Qrz1WASzz33VEPie62wX1S9qLVfoR2vNwc7mE5Y1S37BW0ScEtGH+Z0oKIPs7WZ\nbRP1YS4EKnoBXyO8eAv4o6RrKiLFRZN9Dnsezc2jiGvImdzagjz7RM16dlan0ezryaNtaGbblnNb\nUI/3AIdEvZh1gfWBaQR3zhFxllK2nlds4ElJaxE0l56ukS7QA8zntttWMG3atFxsoEIZfrM13c+7\nzhVRpythLWoDpSd7n8uSVhnLlDKtMpYpNQ2JckNNQbIDgG8D7zOzJZl4FVHu3QnTXG+m5KLclTAX\njGxtChCgvA34lJk9LGkysF48NGRhvhppuii3k5QUdiBpS8LzvrIIw1xgz8zLcq+ZbSfpwrg9K8Z7\nEJgA7BXjfy6G/wCYU4lXlZeLcjtJadW2oN36IC7K3VyKWKBB0p7AFzOi3Feb2az4zL/PzC6UdDyw\nfRTlPhI4zEW5nSJotUVKwEW5nbSUSpS7jiDZd4FRwM1RR+D7AGb2AHAl8ABBV+n4cvWS5jQn1xpf\n69o132ZdawF8AZgpqQ/YAfgWcDbDEOYrC51ULzot35x4wxD1YSq6GaXSECvit/A8ypF+QZS2LUh5\nf8v4W5Xx+spYpiYxCThV0sPARsAlMfwS4PWSHgFOjvGaQjs8Q4vIox2uodMp43OpjGVKmVYZy5Sa\nhlzezKzWJ+Ppq4h/JnBmI3k6Ttkws/uAXWsc2rdO/BPzLZHjNJ162hjD1I3pYfny+5k9ezmLFy9O\n7ubQ19eXuxtChbzdBPLe7+vra7n0i3Zz8LbAcQJmdhtwW9x+lOCdUB1nOfDRgovmOI7jJKZhl7fU\nuMubk5rWndrqLm9OOnJyeXsQmDAEl7e5wJ4El7cJZvbZGD4gXlVe7vLmJKVV24J264O4y1tzaTU7\ncJc3JzUFuD+fAhwHrADuB44F3ghcAYwG7gGONrNXJK1D0KbcBXgKOMLMHquRpru8Ockom8tbklV/\nHKeVkTRP0n2S7pV0VwxzO3DakeoVe64lqKUS/1+TCT8GIOrDLIuucTcS3H82jALd+8Uwx2l5vC1w\nHMfpbCS9Efg8sHP8+LY2cBTB/fnbZrYtsIww4ET8v9TMtiGI2J9TfKkdpzEaGlAiuLftXxVWWfVn\nW+BWwqo/ZFf9AT5DWPWnRMxpTq4dpONSVr/PBKwgzLrYycx2i2EtaQedVC86Ld9GqaOZdxbD0IeJ\nK/h8A7gbuBOYambLCr+YSLvoQbRDHq1qF1WUti1odw2HMl5fGcvk1KYdnqFF5NEO11AQawGvk7Q2\nYcXDJwkztGfH4zOAw+L2oXEf4CpCXyo3yvhcKmOZUqZVxjKlplENpd9GF4gshxJcGyAYSC+hQ3Uo\ncblpM7szfqEeUxF0dZwWRgwenHU7cNqKOpp5MEx9GDO7FLg0Takcp1R4W+A4jtPBmNmTkr4NPAa8\nCNxEcHFbZmYrYrTKQiWQWazEzF6VtEzSRma2tOCiO84a07CGUg1NjaVmtlHm+BIz21jSdcCZZvb7\nGH4L8O9mdk9Veq6h5CSlAF/pvwNLCRXmIjO7WNLTZjY6E2fYduAaSk5KWlU3wzWUnFS0alvQbn0Q\n11BqLq3aFriGkpOKPG1AUhdhJtLhwDPAz4Crga+Z2bgYZ3PgV2a2g6Q/A+83syfjsb8Cu8YZ3dl0\nXUPJSUZqG2hohtIwGebqPo7TMrzbzBZK2gS4Kbr/1KvbbgeO4zjtibcFjuM4nc2+wN8rM4wk/Rx4\nN9AlaUScpbQ5wQ0OwmylLYAnJa0FbFA9mNTPKbz00rNMmTKFrq6u5Cvf+n777k+bNo2+vj66u7vJ\ngzxmKA1r1Z/q6d2SbOLEiSsvOKXBhK9ivTGnvQh9tzlxuzfzP3tc9Pb25voDN+OBUAkrskJX551X\nftVLRc+YMaOwr3GSJgPPA5+kQTuAwxg16jd88YufL6zhqIS1Y72o3u/r6+Pkk08uLL+ir7eZdpCC\nImYozZkzZ+U9ywvPoxzpQ7EzM1K2BSn6RJWwMjw799qr0r+CVH2sMl1fdVkaLU+j19cubUGeM5Ta\n4RlaRB7tcA2Q+wyl3YBLgF2B5QS94T8A7wOuNrNZkn4A3GdmF0o6HtjezI6XdCRwmJkdWSPdJDOU\nUt7fVGmVsUwp0ypjmZLbgJk19Ad0A/dn9s8GTovbk4Cz4vZBhOl9AOOBO+qkZ3kBGFj8q97urXM8\nv/KYmfX29uaafpnybda1xt+w4bpe6w9YDxgVt18H/A54fwo7gLm26abj8r9BGTqpXnRavjnbwSnA\nn4E/ATOBdWLbcAfwEHA5sHaMuw5h6dxHgNuBN9VJ08Bs1KijbObMmbnckyJ+C8+jHOmbtW5bkIKU\n97fRtKr7WmUoUx5plbFMZvnZATCSsNjCvYSl0ifH8CRtAUy1M874arL7kKUdnqFF5NEO12CWb1sQ\nkmcy8GDsE80AXgO8OdrHw8As4DXWbzdXRju4A+iuk6bBAuvq2qyhay/jc6mMZUqZVhnLlNoGGpqh\nFFf9mQBsDCyKBvQLgr/oFgRBssMtruIj6QLgAOAF4Fir0gqIcayRMq2mvAxfQ+m1hAFmGDNmSxYu\nnJdL2Zz8yPlLxJuBnxMqy9rATDM7S9JGhAZije3ANZSclORlB3GJ3N8CbzWzf0qaBVxPeGG+ysx+\nFr/G9ZnZRZI+B7zdwte4I4APWd2vca6h5KSjVduCvPpEzcI1lJpLznawnpm9GF13fgecBJxKgrbA\nNZScVLSajhi4hpKTllJpKFmiVX/KzXIqHZ9Fi1rq2eMUgJk9CuxYI3wpbWUHjrNKKkvkrmDgErlH\nxeMzCB8cLiKsbjU5hl8FXFBsUR0nPd4WOA6Y2YtxcyThHcPwtsBxHKetGdHsApSHOc3JNeMf3+75\nNutanaHTSfWi0/LNCwsrk1SWyH2CsKrJkJfIBZbFWRyFU8Rv4XmUI/1OJ+X9LeNvVcbrK2OZ8kbS\nCEn3AguBm4G/4W1B2+TRDtfQ6ZTxuVTGMqVMq4xlSk2Rq7w5juM4bUZcIvdQYEv6l8g9sEbUrD/x\ngCQyx6roYfny+5k9ezmLFy9OLkzf19eXqzB6lrzSL2q/r6+v5dKvFiN2HCdf4sDRTpI2ILiAblcr\nWvw/rLYA5nPbbStyWczG24Ly7Htb4DitR8OrvNVNWDoFOA5YQRDnOxZ4I0GAbzThC/bRZvZK1Xkl\n01DKhrmeUitShK+0pBHA3cDjZnaIpG5q1HVJ6wCXAbsATwFHmNljNdJzDSUnKTlqKH0E2N/MPhX3\njwbeBXwEGGtmKySNJwi0Hijphrh9Z9TZ+IeZvaFGuq6h5CQl77YgdTsQ03QNJScpRenHSPoa8CLw\n7yRoC1xDyUmFayg5nU5qG8jF5S2KtH4e2NnM3kGYCXUUYbWTb5vZtsAywoBT7owd2x07MI1S0VMy\nFi2anyA9p404CXggs1+vrh8HLDWzbYBpwDmFltJx0vMYMF7SaxUetPsAfwF6gcNjnInANXH72rhP\nPH5rgWV1nDzxdsDpWCS9XtKGcXtdgnbYA3hb4DiO09bkqaFUEWldm4EirbPj8RnAh3LMfyVh8Gd1\nX8DmFFCSGrl2kI5Ls641byRtTljR6uJM8N4MrOuHxe1D4z4EEcp9iijjUOmketFp+eaFmd1FqMv3\nAvcRpnX+kLBE+qmSHgY2Ai6Jp1wCvF7SI8DJMV5TKOK38DzKkX7elL0dSHl/y/hblfH6ylimnNkU\n6JXUR1ge/UYzux5vC9omj3a4hiKQtKGkn0l6UNJfJO0uabSkmyQ9JOnGyuBrjH++pEck9UkatLhD\nSsr4XCpjmVKmVcYypSYXDSUze1JSRaT1ReAmaou0vjGP/B2nYM4FvgxUvsxtDDw9FBFKScskbRRX\nAnKclsTMpgJTq4IfBXavEXc58NEiyuU4BeLtgNPRmNn9wM41wr0tcDqN84DrzezwOLHidcBXgFvM\n7BxJpwGnA5MkHQhsbWbbSNoduBAY37SSO84akIuGUhRpnU2YwloRab0a+JqZjYtxNgd+ZWY7VJ2b\nXC+g31+/UQ0l9/tvRfL0lZb0AeBAMztR0gTgVOATwO3RnWFAXZf0Z+D9cWUsJP0V2NXMnq5K1zWU\nnKS0mmaAayg5qclRRyyXdiAecw0lJymt2ha4hpKTipzfC9YH+sxs66rwucCeZrZI0lig18y2k3Rh\n3J4V4z0ITDCzRVXnu4aSk4zUNpDXKm/7An+vfG2T9HPg3UCXpBHxi93mBDe4QfT09NDd3Q1AV1dX\nktUc+hnufiVsQs3jzV4NwfcH7xe8msN7gEMkHURw7VyfoImxYZ26/jiwBfBkFKHcoNZLRGASzz33\nFFOmTElmB77fOfu+qonjFEaO7UA+faJm72eZM2dO08vTzvveFjhOoWwFPCVpOrADYaGGk4ExlUEi\nM1soqSJAv3LGauSJGDZgQMlxSo2ZJf8DdiOs7PZawrSeS4ETgFmE1UwAfgB8tsa5lhrAIPu/1nZv\nneP1z0lBb29vknRaId9mXWv8rXKp69k/YE/g2rhds64DxwPfj9tHAlfUSctgrm266bic785AOqle\ndFq+RdlBqr/K83bUqKNs5syZudyTIn4Lz6Mc6ZsVYwMp2wFL2CdKeX8bTavsfalUaZWxTGat2xbA\nVDvjjK8muw9Z2uEZWkQe7XANZvnaAGH1zpeBd8b9c4GvExZiyMZbEv//Enh3JvwWYKca6Rp8xEaO\nXN8mT55s55577oB71dvbO6T9SthQ469q/9xzz23o/OqyNFoev776++eee65NnDjRJk+ebJMnT05u\nA3lpKN0lqSLS+nL8/0PgeuAKSd+IYZfUT8VxWppJ1K7rlwA/iSKUSwgvE47T0kRxyYuB7YEVBHef\nhwkv1FsC84CPmtkzMf75wIHAC0CPmfU1odiOkzfeDjiO43QWjwMLzOzuuD+b0BYskjTG+l3eFmfi\nb5E5v64HD5zLuuuOZ8qUKYOOVGYlrm6/ehbjcM8v+75fX+39k08+ecD+1KnVsqeNkYuGUiO0mobS\n2LHdcRU5GDNmSxYunJe07E7jtJpeALiGkpOenDUDLgVuM7PpVQKUS6xfgHK0mVUEKE80sw9EAcrz\nzGyQAKVrKDmpadW2oGz9tEZxDaXm0mp24BpKTmrytgFJtwGfMrOHJU0G1ouHlprZ2ZImAV2xT3QQ\ncELsE40HptXvE7mGkpOG1DYwIlVCnUoYTAozuCsDS2PHdiMJSYwd293M4jmO4+RKFKDcw8ymA5jZ\nK3EmUnZp9Blxn/j/shj3ToLOzJhiS+04znDxvo3jOM6Q+AIwU1IfQUfpW8DZwH6SHgL2Ac4CMLPr\ngUfj4gwXEVyiHael8AGllcwZZvyR8SvbYGoNMtXNtYZAZRE0I99mXaszdDqpXnRavjmyUoBS0j2S\nfihpPaoEKIHVCVAWThG/hedRjvQ7nRT3t79v07vavk3RpKw/qdIqY5mc2rTDM7SIPNrhGorAzO4z\ns13NbEcz+7CZPWNmS81sXzPb1sz2M7NlmfgnmtlbzGwHM7snz7KV8blUxjKlTKuMZUpNXqu8DVtT\no/VYTr9LnNOpSBoJ/AZYh2BPV5nZVEndwBXAaOAe4Ggze0XSOoTZGbsATxEEWx9rRtkdJxFrAzsT\npmzfLelcgl5APT+WWg/NOnF7WL78fmbPXs7ixYuTr27V19eX+2pLFcqw2lMj+319fS2XfpGrW3lb\n4HQ6kjYn1OmxwKvAj8zsfEmjcT09x3GctiU3DaXhaGpUndcyGkq1jpuZ6wOUjAJ8pdczsxfj8s+/\nA04CTiW8UPxM0g+APjO7SNLngLeb2fGSjgA+ZGaDBFldQ8lJTV52EN3VbjezreL+ewkDSlsDEzIC\nlL1mtp2kC+P2rBh/LrBnZTZTJl3XUHKS0qptQVn6EKn6Nt5Hai45tgVjgbFm1idpFPBHgovzsSTQ\n03MNJScVraYjBq6h5KSlJTSUhqGpcVge+TtOkZjZi3FzJOHLtAF7EVZ2gIF1PWsDVxH8qB2nZYkD\nQQskjYtB+wB/Aa4FemJYD3BN3L4WOAYgClAuqx5McpxWxNsCp5Mxs4WVGUZm9jzwIGHFKtfTcxzH\naWPy0lAaqqbGJjnlvwbMaU6uHaTjUla/z0aRNELSvcBC4Gbgb4SX5BUxyuP0a8Ss1I8xs1eBZZI2\nKrjIdemketFp+eZMSwpQtoseRDvk0Q52Uea2IO39TZlWGsqoUVHGMhVFdPXcEbgD19Nrmzza4Ro6\nnTI+l8pYppRplbFMqclLQ2m4mhoD6Onpobu7G4Curq4kuhn9DHe/EjZhSMdr/dBz5sxpmi7F6u5H\ns3U58tgvUjcDIL4s7CRpA+DnwHa1osX/1dMLs3P/q5jEc889xZQpU5LZQSfXi+r9IvRzmn19RdmB\nmd0H7Frj0L514p+Ya4Ecpwnk1Rak6BNVaPTZEvo7/TI3jbY1lbAytV1lbBsaub6i+0TR3e0q4CQz\nez646tSOWiOsrp4ezOe221Ywbdo019Nr4/1W19OD8HEBuBt43MwOcS09p93JRUNpuJoaVee2sIbS\nawli3QyI5/oAzaVIX2lJXwNeBP6doCWwIrr1TDazAyXdELfvjDob/zCzN9RIxzWUnKS0mmaAayg5\nqWnVtqAsfQjXUGoP8rSDqJn6S+DXZnZeDHuQBHp6rqHkpKIAPb1TCINEG8QBpVk0oKUX03QNJScZ\nLaGhNERNjYn0a2q0CZWV35xOQdLr44qGSFqXMCPjAaAXODxGy9b1a+M+8fitxZXWcRzHyQNvCxwH\ngB8DD1QGkyKup+d0DHG1w4MIK51X2BvX0nPamFwGlCKr09TYl6ipUQ7mNCfXGtO/2zXfZl1rzmwK\n9MZ6fidwY9SImQScKulhYCPgkhj/EuD1kh4BTo7xSkMn1YtOy9cZTBG/hedRjvQLoNRtQdr7mzKt\nNKS8vlRplbFMeSLpPcC/AXtLujdqqB6A6+m1TR7tcA0FcC7wZeIMA0kbA0+XQUsPyvlcKmOZUqZV\nxjKlJi8NpWFrajhOK2Jm9xP0wqrDHwV2rxG+HPhoAUVznEJxzQCnk/G2wOl0zOx3wFp1DruentP2\nSPoAsMjM+iRNqAQzWC9sDXRVHae85KKh1AitraFUO6xs97jTaDXtGHANJSc9raYZ4BpKTmpatS0o\nSx/CNZTag1azA9dQclKTlw1I+hbwceAVYF1gfeAXwPtpQEsvpm3wEUaOvJFJk04tbLEe32+P/WnT\nptHX17dygY+pU6cmtYHcBpSG+rW6xnk+oOQkJWcBys0Jsy3GAq8CPzKz8yWNBmYBWwLzgI+a2TPx\nnPOBA4EXgB4z66uRrg8oOUkpwA6mA98ETo3P/P8hLBe9ug7UQjPbpEaaPqDkJKVV24Ky9CF8QKk9\n8AElp9MpwgYk7Ql8MfOB7WozmxU/sN1nZhdKOh7YPn5gOxI4zEW5nSJoCVHuyEkEQcoKZwPfNrNt\ngWXAcTnmzdix3UiKHZehMCfP4tTPtYN0XMrq99kgrxBeoN8GvAs4QdJbCXoYt8T6fitwOoCkA4Gt\nzWwb4DPAhc0pdm06qV50Wr45U2rNgHq0ix5EO+TRBnZR6rbANZSKT6uMZXJq0w7P0CLyaIdraBKl\n0NKDcj6XylimlGmVsUypyUVDKaNw/03g1Bi8N3BU3J4BTCGI8OXCokXzqe+i6jhpMLOFwMK4/Xxc\nHndzwsoNe8ZoMwgr/UyK4ZfF+HdK2lDSGF/ZxGlV8tUM6GH58vuZPXs5ixcvTj69u6+vL/fpxhWa\nPd250f2+vr6WS7+vr49ly5YBMG/ePPLE2wLHcRyngpndBtwWt11Lz2lrcnF5k/QzwmDShsAXgWOB\n281sXDy+OXC9mb2jxrlJpndXT6l2l7fOpajp3dGtcw6wPbDAzEZnji0xs40lXQecaWa/j+G3AP9u\nZvdUpeUub05SWk0zwF3enNS0altQlj5EmV3exo7tjh8SYcyYLVm4cF7DabYr7vLmdDqtZgPgLm9O\nWkrv8pb9Wk3/l+hVfa12nJZH0ijgKuAkM3ue+vW7lvG6LTgti5l9xczeZGZbAUcCt5rZxwkzMQ6P\n0SYC18Tta+M+8fitRZbXcfLE24Lm0D8r3VYOLDmO4ziOkz95uLy9BzhE0kH0f62eBmwoaUTU1Ngc\neLJeAj09PStVyNdUxb6foe5X/6+OM2GNj8+ZM2eVquvNUOmvhBXpNlGdd175FenmACBpbcILxE/M\nrPLSvKjiviBpLLA4hj8ObJE5fRW2MInnnnuKKVOmFLaaQyWsHetF9X5fXx8nn3xyYfkVfb1F20EN\nJgFXSPoGcC8DNQN+EjUDlhAGoZpC9tnseTQ3jyKuIW/yagtS9YlSPNtDH6dfO7yRtiabRoq2q798\nA9Mebnqp2oaUz/rqNMvYFki6BPgg4aPyO2JYQ6L0jTCcWWvt8AwtIo92uIZOJ+X9TZVWGcuUMq0y\nlik5ZpbbH0E34Nq4PQs4Im7/APhsnXMsBYCBxT+q/tfa7l2Dc4YWtip6e3uTXO9waUa+zbrW+Bvk\nWc8vA75TFXY2cFrcngScFbcPAn4Vt8cDd9RJ02CubbrpuJzvzkA6qV50Wr5520Hqv8pzdNSoo2zm\nzJm53JMifgvPoxzpm7VuW5CCFPe3v2/Tu9q+zdDSWX0fqRlppqqLKet0yrTysgPgvcCOwJ8yYWcT\nXDkBTsvU/wMz9X/3evXfMm0BTLUzzvjqsK6zTH3xdsijHa7BrPX6Q7bSDhZYV9dmDV17GZ9LZSxT\nyjUlhloAACAASURBVLTKWKbUNpCLhlKFqiUT3wxcAYwmfK3+uJm9XOMcS1Em11ByKuS8VPR7gN8A\n91OZbw9fAe4CriR8gX4MONzMlsVzLgAOIHyVO9aqNDNiHNdQcpLSapoBrqHkpKZV24Ky9CHKrKGU\nR5rtSs52sCVwnfXPUJoL7Gn9M/R6zWw7SRfG7Vkx3oPABKshSj8UDaXKbKTsTCSvE049Wq0/BK6h\n5KQltQ3ksspbBRuCwr3jtDJm9jtgrTqH961zzon5lchxHMcpGm8LHKcmb6gMEpnZQkmVBRg2AxZk\n4j0Rw9ZolcOKhtaiRa+NA0nVjFwZ7qLtTp7EhacuA8YCrwI/MrPzm+n+6Th5k1yUu3WZ05xca+gJ\ntGu+zbpWZ+h0Ur3otHzzQtLmkm6V9ICk+yV9IYaPlnSTpIck3Shpw8w550t6RFKfpB2bVfYifgvP\noxzpdzpp72/KtMpHqnuV8p63oX3kJEq/nP4JgrXDa4m2t8MztIg82uEaCuAV4FQzexvwLuAESW8l\nuDzfYmbbEhYjOR1A0oHA1ma2DfAZ4MI8C1fG51IZy5QyrTKWKTW5zlByHMdx2p5K56kvrnD1R0k3\nAccSOk/nSDqN0HmalO08Sdqd0Hka37TSO47jOHmRYIESgB5gPrfdtqLuYjb9rG5/sBB8X19f7oty\nZPPOI/122e/r60uefpGLlJjZQmBh3H4+unNuDhxK0BYGmEFYCXdSDL8sxr9T0oYVm8m1oI6TkFw0\nlNZkul/mXNdQcpKSs15ALquauIaSk5qiNAMk/QK4IP6tsXaGayg5qWnVtqAsfQjXUGoPcraDboKG\n0tvj/tnAUjM7W9IkoMvMJsWVoE8wsw9IGg9MM7OaHxbqaShlV3ELDKXPHra9fnQ2BfaHugkjmtsD\nC8xsdObYEjPbWNJ1wJlm9vsYfgtByP6eqrRcQ8lJRmobyMvlbVjT/dqb4Lc9dmx3swvi5MN0YP+q\nsFJMa3Wcoomdpx2BO4CVX9jiF7vVaWc4TivjbYHT0Uj6KfB7YJykxyQdC5wF7CfpIWCfuI+ZXQ88\nKumvwEXA8cPNr6KblMRTznESE2dsXwWcZGbPU7+iDsP98xReeulZpkyZwrRp0wbMfpszZ47v+37d\n/WnTptHT08OUKVOYMmUKyUm5ZFy9P+AXBFHKuYSXDAizl+bWiGspoGq50IH/a233rsE5wwurRSct\nXd6uy6UTvj5nl8mtrucPxu0LgSMy8R6sxKuRpsFc23TTcTnfnYF0Ur3otHwLsINRwN3AoXF/adXx\nJfH/L4F3Z8JvAXaqkZ6B2ahRR9nMmTNzuSftsgRyO+TRDktF59UWpCDF/e3vz/TW7dMML536faNm\nptnOS0Wb5W8Hqf/6f9updsYZXx1wHcPvs9euH+3wDC0ij3a4BrNC2oK1gRsIg0mDnvOraQ9WthtV\naRossK6uzRq69jI+l8pYppRplbFMqW0gdw2lVX2xlrRJ3vk7ThMoZFUTxykLktYmfIn7iZldE4MT\naGf0sHz5/cyevZzFixfX1M1oVFfBdTOGtp+HrkXe6Repm1EHbwscx3E6jx8DD5jZeZmwawliYGfH\n/9dkwk8AZkX3z2Xm+klOi5GLhtLKxMN0vznAN8zsGklLzWyjzPElZrZx1Tk2ceJEuru7Aejq6lqj\nl4i99tqLMGNwDlDZFkEDjUzY6o5XwiYM43jlGJmwAwirTMDo0WNYunThsK7H94e+X/0SMWPGDCxH\nX2lJWxI0Ayq6GTXruaRfAt+ygX7SXzaze2ukaXAYo0b9hi9+8fNrbAe+37n7RdqBpMuAp8zs1ExY\nQ9oZrqHkpCZv3Yy82oIUfaIU+0GnqL8PZGZrlF5//wxA9Pb2Nly+6j5fpW9bhmdxs/eL7hOlpp6G\n0ppppYbtPN99nPKTs47Ye4DfAPfT75P5FeAu4ErCB7XHgMPNbFk85wLCi+ILwLFWpZ8U45hrKDmp\nSG0DuQ0oxS/WvwR+XRmhzYqvZkVaq86zRso0UKRvuA1NnkLe3pg1iya8RNSs5zXEiOcSRYtrpGku\nyu2kJC87yLfz5ANKTjpatS0oS3/BRbnbg6IEiVORHVB63evO54UXlmSOrsmA0mupfOAdMWI9Vqx4\nkTFjtmThwnn5XYRTKlrNBsAHlJy0tIooN6x6uh/ARPqn+yWjX6RvuMxJXJIh5lrlFtHO+TbrWgtA\nDBTVy9bzHgZOaz0GoKzTWjupXnRavnlhZr8zs7XMbEcz28nMdjazG8xsqZnta2bbmtl+lcGkeM6J\nZvYWM9uh1mBSURTxW3ge5Ui/IErbFqS9vynTKh+p7lXKe94m9tEwYTCp8t1iTVm+Mo0VK14ErGq1\nuHzw53R58uhkyvhcKmOZUqZVxjKlJpcBpfjF+t+AvSXdK+keSQcQ/EYrqz3sS1ztoZP58IeP9FXg\nWpiiVzVxHMdxyoe3BY7jOI7jdCK5aiitCY1O7+6f9pyn+9qanFN7um0gHC/bb9EutO7UVnd5c9LR\nanbgLm9OalrNBsBd3pqZZrvSanaQdXmDyQy/Tz6U7cFucIC7wrUprWYD4C5vTlpayeXNqUv/dFvH\naWXGju32GXaO4ziO47Qwg93ggivcQiR5P8dxHGcVFD6gJOkASXMlPSzptBRpVl5qwxeqNWVOiqI0\nwMhCG61O0sopG3nYQCqG8htl7a2iWVZLfyAbb621Xle3bnealpHbQaAMdtAuehDtkEcn2kWRNrDR\nRmMT9jHmJChReXHdjGIpQ1tQn/6BpkZ1lvw5XZ48ykaRNlDG51IZy5QyrTKWKTWFDihJGgFcAOwP\n/AtwlKS3NppuvxB3IzN++hotRoOka7SGQl9f8dfbjDzLRl42kIrKb7SqmUe17W3koMGjbLxVCV82\nq150Wr5loix2UMRv4XmUI/2yUbQNPP30ItL1Mdr7t0pVF1PW6Xa1j7K0BUOjsQ+//pwuTx5lomgb\nKONzqYxlSplWGcuUmqJnKO0GPGJm883sZeAK4NCCy1CHZauPUhgjc5+ptGxZ8dfbjDxLSGltYOzY\nbk455ZSqmUcLBw0U1abWdPGh0ax60Wn5loxS2EERv4XnUY70S0gpbGDNaO/fKlVdTFmn29g+WsgO\nGvvw68/p8uRRMgq1gTI+l8pYppRplbFMqSl6QGkzYEFm//EYNiz++c9/8slPfoFDDvk3Djnk35IV\nrjyERivbYGXdh9yPu6VJYgMpqdStUN+ygpfQyEBRbUYOGJzS/2fv3ePsKMr8//cnBJBwSSYoiQhk\nBEFxvQRUiK5KkIsQFNgLEHcRBrytiIjuKhd/uyFff7rg6teRRQURIbjK3XBRFJYlQV0NimQgylVN\ngIAZJCEBQQIkz/ePqpPpOXPOzLl09+k+87xfr/M63dXd9VR31dPVXV31KYkvfal/WDqS25P7ebnv\nKgrnB46TMw37wJIlSwr7VbLbmD69l/nz53udkx8lrQuy//DrjBtK6gOOM0TeDUq1ujc0/Yb6+OOP\nc9FF/8kPfvADbrjh6hSSBbAipXjSZKh7bXL4UKXXSPJlezSNGhg5hGnFihUjtmX9Ap+02Q4lb1xr\n2Ae23PIsGpUFq3VNRmugSebzUNmC7P0gNFAlRS+feebpukPkaolj1ir3o/lCvfKSVnlslk7ZLRgN\n+cFLXnISL774q8wSkUdeuI1ixF9AGq4L3vrWt7LXXnvxq19l5wvNsaLTCciMUA8dT7tDA9NumOpi\n/2i4Lpg48YYcktMolQ+/I3tx13uW9vt0cWwUjCbeC86s+14w1kfZyvL8+fNrls9G3q1Ge5cca9/R\nbKSZ50WMq4hpShvlObWqpFnAWWZ2SFw/HTAzOyexj0995qROUaYHbcQHYrj7gZM6ZfID9wEnC8rk\nAzHc/cBJnTL5gfuAkwVl8oEY7n7gpEqaPpB3g9JmwP3AAcAfgV8C7zOze3NLhON0EPcBx3E/cBz3\nAcdxP3Ac9wGnG5iYpzEz2yDpZOBmwnC7i9xhnPGE+4DjuB84jvuA47gfOI77gNMN5NpDyXEcx3Ec\nx3Ecx3Ecxyk/eYtyj4qkQyTdJ+kBSaelEN9FkgYl3Z0I65F0s6T7Jd0kaXJi27mSHpQ0IGlmIvz4\nmKb7JR03hs2dJN0q6R5JyySdkpPdLSXdLmlptDsvhvdKWhLjuEzSxBi+haTLo91fSNolEdcZMfxe\nSQc3cJ0nSLpT0vV52YzHrJB0VzznX+ZxnbMmbR+oEX8q16wBO7n73ih250laGcvonZIOSWyrWe6a\nyYcO+ny13Y/ncb55kFZ60iqHo8SfWt6PYiO1e3sDttq+l48Rf6b3H0mTJV0Vy/dvJe2bZvx5kqUP\ntBFXzfLeQjw1y3Qb6RpWbtuIZ0T5bCOuEWWxxXj2iOm5M/6va+O6f1LSbyTdLem7krZoJZ48accP\n0rr/q069XM8fUraRy7N9tQ9lEH/mz+u1fC5tG52gWR9Is1zGbak8F6SYPyPuY02k6XKld09YJ+lF\nSQ8nwr8Yz29A0jWStktsq/f8/eMYz/rq/JX0L5I2Spraaprito/HMrRM0tkNpKn5+66ZFeJHaNz6\nHTAD2BwYAF7TZpxvB2YCdyfCzgE+E5dPA86Oy4cCP4zL+wJL4nIP8HtgMjClsjyKzenAzLi8DWFc\n7GuythuPmRT/NwOWxPiuAI6K4d8APhKXPwp8PS4fA1wel18LLCUMh+yNeaIx7H4S+C/g+rieuc14\n3B+AnqqwzK9zmXwgi2tWVN8bxe484FM19t2zVrlrNh/okM+PYjfT8y2TH6RRDseIP5W8b8BO2/f2\nBu20dS9vIP5M7z/AJcAJcXli9KXU729l94E20lWzvLcYV3WZ3qeNdA0rt23EM6J8thFXdVncLqVy\n8RiwcwvH7hjPb4u4fgVwXBrnmtWvXT+oVfabvR8wSr1czx/StBG3Z/5sX+1DGcSf+fM6Kdz/x7JR\nBh9Iq1ymVTZSzp9a97Hjm0jTLaR3T3g38A7ClI+Ve8KBwIS4fDbw76P5R8zfldHW3cn8BXYCfgws\nB6a2kabZhOGUE+P6S+N/qu8EHa8wEhk6C/hRYv104LQU4p1RVXDuA6YlnO7euHw+cExiv3uBacBc\n4BuJ8G8k92vA/rWxgOVmF5gE3AHsAzyeKNybrnEspPvG5c2Ax2tdd+BHlf3q2NoJ+O9YYCs3mz9l\naTOx33Jg+6qwXPO3DD6Q9jVrwlZHfK+G3XnAP9fYr2a5azcf6IDPJ+wekPf5Ft0P2i2HTdpqKe+b\niL+Ve/ufGoy7nXt5ozYyu/8A2wK/rxGeWX6X1QdSTOe1wAFtxlEp029p8fgR5baNtIwony3GU7Ms\nphDvwcBPWzx2R+AhwovHROAG4MC005jy+bbtB9Vlv9n7AU3Uy2Rc95PRs30tHyLl5/havpXmdarn\nc1nmd4l8oOXnkjbLxp8ScaaVP9X3seuBg2jieYgU7wkxrtW1yghwJPCd0fyjktZKmpL7AVcBr2d4\ng1LTaSI0tr2rRvpSfSco0pC3VwCPJNZXxrC02cHMBgHMbBWwwxj2q8MfbTRdknoJLaFLCIU1U7ux\nW+JSYBXhBvB7YK2ZbayKe5hdM9sArItd6pq1+xXg04DFNGwPPJmxzQoG3CTpV5I+GMMyv84ZkocP\ntHPN2r02ufleDT4Wu4d+K9GdtV78LedD3j5fw+7tMSiX882IrNPTaDlsqry1mPcN2Wjz3r422V16\nFNq5lzdqI8v7z67AE5Iujt3zvylpUorx50nRfHIENe45zR4/rEyb2a9aTMqwctsmyfL5oTbiqVUW\nt0ohfccAl7VyoJk9BnwZeJhQ1tea2S0ppClLsvCDTJ5Dsqz7c3i2z+M5Puvn9Xbv/0V8J4A2fSCF\n55K0ngtSqZ9r3MfWAXfSxPMQoWdUknbvCS9QO09OBG4c7Xzq2ZD0XuARM1tWFWcradoDeGccErhI\n0ptaSVON8xtGkRqUVCMsjQeEVu0r2m8pXZK2Aa4GPmFmfx7lmNTsmtlGM9uL0KK8D6E7W7046sXf\nsF1JhwGDZjaQOE414kjNZhVvM7M3A3MIL9DvGOW4VPM3I/JISzvXLIv01LKTdt58HdjNzGYSHsi+\nXMduJf7S+Hwdu7mcb4Z0Kj0t220j7xuy0ea9XYxhI4V7+Zg2IlnefyYCewNfM7O9gWcIX9Y6fX9r\nhSKnrVZ5b5qqMr2vpNe2kI7qclvrujVDdfl8e4vxVJfFZwllsWUkbQ4cTvhq3crxU4AjCF+vdwS2\nkfQP7aQpB/L0g5br5azr/iyf7XN8js/6eb3d+38R3wmgg88lKT8XpFI/17iPbU0YBjZi3wbSNBbt\n3BM+C7xgZpUPAM34zQTgs4TRBmmkaSIwxcxmAZ9hqA5J9Z2gSA1KK4GkgNdOhLHiaTMoaRqApOmE\nbnIV+zvXsN90uhTEwK4mdHW7Li+7FczsKeA2Qre1KZIq+ZyMY5NdSZsRxlo+OUp6avHXwOGS/kD4\navYuoB+YnKHN5Hmuiv9/InTp3Iccr3MGZJ6WlK5Zq3Qkb8zsTxb7bQIXEs45Vbud8vladvM434zJ\nOj2plveU8r4hWry3bxfvs6PR7r28ERtZ339WEr7o3RHXryE8wOZ1f0uTovnkJuqU95aJZXoxcMgY\nu9aiutzuL+nSNtKSLJ8LGbp3Nkt1WbyaUBbb4VDg1zFtrXAg8AczWxO/1H8feFubacqaLPwg1Xo5\nz7o/o2f7XJ7jc3heT+v+X7R7b0vpSalcpvlckFb+VN/HFhLuYw0/DwFPVV2udsvI5gy/JxxPaDhN\nNtg3U96eJ2ga3SVpeQy7U9IOLabpEcL9ntgTeEPsaVavbLVU5orUoPQr4FWSZijMPDGXMDayXapb\nU68H+uJyH3BdIvw4AEmzCN3nBoGbgIMU1Ol7CGM1bxrD5reBe8zsq3nZlfRSxaEtsWv1gcA9wCLg\nqLjb8VV2j4/LRwG3JsLnKijjvxJ4FVBzthMzO9PMdjGzXQn5dauZHZulzcT5Toqt70jamqAtsIx8\n8jcrsvIBINVr1rBJ8ve9EXZjBVHhb4HfJOzWKnet5EPuPl/Pbk7nmyVpp6fdcjgWaeR9/cSnd2+v\nS4r38tHOI9P7T9z2iKQ9YtABwG/Tij9nsvaBdqhV3ptLTO0yfV+z8dQpty3NylSnfP5m9KPqpqtW\nWbynlbgSvI8Wh7tFHgZmSXqJJMU03dtmmrImDT/I+jkk07o/62f7PJ7j83heT/H+X6R3AmjdB9ou\nl2k+F6SYP7XuY79tMk2p3RMIw+e2YchfDyH0AjrczNZX2aj7/E1otJlAuM4Xmtl0M9vVzF5JaODZ\ny8webyVNDOmrEq//Fma2OsZ1TGrvBNYhobFaP8IXqvuBB4HTU4jve4RWtfWEQngCQcjrlmjnvwnd\nwCr7n0dQNr8L2DsR3hfT9ABjzIpBaNHdQFBFX0oY23kIMDVju6+PtgYIwl6fjeGvJGgcPEAQ5to8\nhm8JXBnjXwL0JuI6I6bnXuDgBq/1fgwJtmVuM9qoXONllfKS9XUumw9kdc2K6Huj2L2UodkTriUh\nvFuv3DWTD3TO5+vZzfR8y+QHaZXDPPJ+FBup3dsbvGZt3ctHiTfz+w/wRsLD0ADhi9zkNOPvFh9o\nI66a5b2FeGqW6Tav16Zy2+LxNctnG/GNKIttxLUVQUx22zbTNI9w778bWFDx5yL/2vGDWmWfFJ9D\n6vlDK/ecUWzk9mxPRs/x9XwrzetUz+fStlEGH0izXKZVNlLOnxH3sSbSdB3p3ROeAl4k6BVV4nqQ\nIBp+Z/x9vQH/WBTj2UjQeDqh6rr9gSjK3WKaJgLfIfjeHcB+DaSp6fuu4oGO4ziO4ziO4ziO4ziO\n0xBFGvLmOI7jOI7jOI7jOI7jlABvUOoyJB0v6aeJ9Y2Sds3I1owYv5cjp1BI2k/SI4n1PRSmKl0n\n6eQM7LkvOKVEYRrfNZKWdDotTvdTfW/OyebFkv5PzjaHPYs5jqSdJT0VtV+yiH+RpBOziNtxOo2k\neZK+E5czfebuRD1VdvzlZwwkrZD0bKwEVku6QdIrUrYxT1Uzk0haLOkv0e7T8X/fBqO0WsuSLpG0\nPsa1TtKvJL2ziXQul/SuUWw5XUYHy/+IB6MWbvDJsvkZYJGZTTaz8+ILhvuCkwod9JMR5bCZF1mF\nadEPAHa0MKUsks6U9Id4Lg9Luiyxfzv1klNCqsp2Jc/PbTPajt0rYz2yIXHvv1dSX0bmvE4Yp9Ty\nG8I04tuZa40445w69cr0sY+s+36bfDZ5Mq6/ron01Op84X7aBN6gNDYGHGZm2wEvJ0wn+J852T0p\nVj7bxv/bW4gn+SXEgHNiXJOB84HvZ/W1xOkKOlX+R0tPK8wgzASRxH3BSYuy+kkvsMLMnoNN093+\nI/CueC5vBv6nKt406iWnPGwq24k8P6XTiWqTRxP3/tOBCyW9ppkIFKagdpx61PKbVaMd4M8fzjii\naf9oIL6T4nPL9sBtBCHqZo532sAblBpDAGb2PHA18FoASXMk/Ta2iD4i6VMxfL+4/mlJg5IelXSE\npEMl3S/pCUlnxH3fDZxJmLrvaUlLq+0OS0iNbn61enM0yPcICvvTYjy7SvqfmL7HJf2XpO3itkuB\nXYAb4vn+SyKNx0p6KB5zZgvpcIpNp8r/6ImS+iTdE+3/TtKH6+z3P8D+wNfivq+qsZv7gtMuhfOT\nRH1xXHW5jHXGhcDbYtrmERqQbjKzFfFcHjezb9U6T2dcUetZ5HhJP5X0HwpDJn+vMGVyZXuPpG/H\ncr1a0vdrRiy9Jj7DPClpmaT3JrbV9J247T2Slsbjfibp9Ylte0n6tUIPpMuBl9Q7MTO7DniSIX89\nXNJv4jndqkRDk0KPwM9Iugv4s6QJknaSdE30rT9peO8t1bs+zrhgmN+o6vk9lvv/P5bfZ4BXStpO\n0kWSHotl/nNSaGiKPvczSedKWhuff6p7Slds1X2GidvrlltJJ8a4V0v6kaRdEtu+EuurtZIGJL02\n5WvmjB+q/WPEKATVHg0wanxmthG4HNgzEc9bJP081hePSvpPSRPjttvisXfHuuaoocP0qcTzWV9L\nZzlO8AalJpA0CZgL/CIGfQv4UGwRfR1wa2L36cAWwI6EKQ4vJHz53Qt4J/BvknrN7CbgC8AVsZV2\nrwaS0nZLqsLXteMJ0xEOVoJjWqYTHHEn4CwAMzuOMAXhe2JL8pcS0f01sDtwYDyvV7ebPqd4FKD8\nV7/UDAJzov0TgK9Imll9kJkdAPwU+Fgsu7+rOi/3BSc1CuAntRhRLs3s28A/AT+P5Xg+YVrd4yT9\ni6Q3yTXBnNHZhzDd8PbAfwAXJbb9F2G6+z2BHYCvVB8cH+hvAH4MvAw4BfiupN3jLjV9R9Le0daH\nCB8CLgCul7S5pM2BhYTppKcCVwF/VyvxCvwNYfrqZZL2IHxcOCWm50eEDwcTE4fNBQ4FpsT1HwDL\nCR8ZXkF4kamw7yjXxxmfVD+/Hwt8ENiW8FxxKWFK810J9cBBcXuFfQnTfG9PeCb5vqQpjKTuM0y8\nr9cst5KOJPTaO5LgAz8FLovbDgbeDrzKzKYAxwCrW7gGjlOPNN5vtyD4VVIXcgNwKqFOeCvwLuAk\nADPbL+7z+vgsdFVcn07wyx0JPvg1SZPbTV+34g+LjXGtpDXAOoLeROUF8nngryRta2brzGwgcczz\nwBfMbAPhRv1SoN/MnjWzewjDb94wht1z45etJyXdkdK5fDqey5+B/wv8a2U8t5n93sz+x8xeNLPV\nhAfA/aqOr36pN+AsM3vezO4G7gLemFJanWLQqfL/n7H8r4n2b0huNLMfJXpS/BS4GXhHE+flvuCk\nSaf8ZCwaLpdm9l3g48DBwGJgUNJpVbtlUS85xebaRJ6vkfSBGP6QmX073jcXAC+XtIOCFsa7gY+Y\n2VNmtiHeo6t5K7C1mZ0T77WLCC+674vb6/nOB4HzzewOC3yH8BI+K/4mmtm50e41wK+q7L4i+uqf\ngH8FjjWzB4GjgR+Y2a3RJ79EaBR7W+LYr5rZY2a2ntCg9nLgM2b2XPSxnyf2XVF1faZL2qHRi+6U\nnmsTzzA1e+gBl5jZfbFXxVTgEOCTsTw9AfQz5A8Ag4myfSVwP3BYdaRjPMPsS/1y+2Hg383sgZim\ns4GZknYGXiC8YL9WkszsfjMbxHFaoxH/aIZz4339aUJj0fzKBjO708x+GeuLh4FvMvYz/fPA56Kv\n/YjwruAfievgDUqNcYSZTSV8Sf448JP4UPB3hBv5QwpdV2cljlldeTkF/hL/H09s/wuwzRh2TzGz\nqWbWY2Zvbv80APiPGOdWhOENX1IYToGkl0m6TNJKSWsJXxhf2kCcyQrlWcY+L6dcdKr8fzyW1anR\n/nuSGxWGBv0idst+kvDVuJHyWsF9wUmTTvjJi8DmVWGbEx78kzRcLs3sMjM7mNAD45+A/yPpoMQu\nWdRLTrE5IpHnU82s0tNmk+aFmVXK7zbAzsAaM3tqjHhfDlRPtPAQoccE1PedGcA/J15GniT0wNgx\n/h6tEWeSR+N5vNTM9rahL9I7JveNvvlIIj0AKxPLOxMa1TbWOb/q6yO8ThhPHJF4hvnbOvsky/8M\nwv37j4lyfT7Dnz1qle0dqyMd4xlmJ+qX2xnAVxMf8lYTPkq8Ijb4ngd8DVgl6XxJXp6dVmnEP5qh\n8myyJfBe4BpFYW5JuytMlvLH6A+fZ+xn+tVVPuLP9KPgDUqNURmXaWa2kNB17u1m9mszq3QLvQ64\nssX4m+ni90z8n5QIa0QZf6TR8AX8fxn6uvHvwEbgdRa6sx7LSFFvZ/xRpPIfEhS6tF4NfBF4mZn1\nEIYntKTv4r7gpEAn/ORhgrB2klcy8gW6eWNDvTvuJgw3csYvzd5XHwGmKqHZUofHCI0ySXYhvjSP\n4juPAJ9PvIz0mNk2ZnYF8EeGNwBV4myExwgv1El2ZngjUtIPHwF28aGhTh0a8Zvq8vQcsH2iqSRH\nUAAAIABJREFUXE8xs2Qv1Vpl+7Ea8Y72DDNauX2Y0LOw2reWAJjZefFDwl8Remt8uoFzdJxaVPvH\nMyTebaMcxctaidjMfkYYGnpwDPoGYfjxbtEfPlvDvtMGXgk2iaQjCF9uH5T0D5K2s9A1+mnC1+JW\nGAR6pbFneIhdYB8liP9OUBBW3a0Vowpik28HfhODtiV06XtKYcrr6opiFWFc97BoWrHtlJNOl/8E\nW8TfE2a2UdKhDFUcTeO+4KRJjn5yBXCqolaXpDcDJxI1LyrJaSLdxysIIW+jwKEEseIlYx3rOBUs\nzNbzI+DrkqZImiip1nDk24FnFISuJ0qaTeiJepmCHlI937kQ+CdJ+wBI2jqW260J2mUvSvq4pM0k\n/S1haFojXAkcJmn/mJ5/Ibzg/6LO/r8kNGCdLWmSpC0lva3Ovo4Do9yPo9/cTNCD3Dbeg3eV9M7E\nbjvEsj1RQTz4NcAPa0Q32jPMaOX2AuBMRbFtSZMl/X1cfrOkfRQ0xf5C8I0NLVwDx6nFA8BL4uiD\nicD/R3jOr0ddX5L0VoJ2WPKZ/ikzezY+73+06pBaz/ROE3iDUmNUZnNaB3wOOA64D3g/sDx2n/sw\nQUy1HtVfl5PrVxEcY7WGNClG6wHxIeAzwBMEh/nfJux+Jp7L0wQhzIvM7Jtx23zgTcBagl7NNVXH\nng38a+wKW5ltZbTzcrqDopV/zOzPBOHUq2K37LmEL9iN2gf3BSddOuEnFwIXR9trgUuAM8zsvxuM\ns5qnCLPJPUSY+eps4J/MrPJC7WV6fFIp20/H/2uoXRaSYe8nNADdR2gM/cSInc1eAA4H5hCeZ84D\n3m9Bz6gSxwjfMbNfE56Dzov3/wcIEytU4vxbwkQNa4CjGHn/romZPUDoyXEeQV/pMOC9ZlZpyLKq\n/TcShlbsTujZ8QhBh6muiUbS4XQF9fLaxtjnOMJL9D2E8nsVw0ch3E4ob08Q6pm/M7O1NeKr+wwz\nWrk1s2sJ9/3Lo9/dTdB1AtiOUOesIQh6P8GQVqDjNMOIsh+HSJ9EmLxgJeEjwsrq/UaJ47xYPz1F\n0Kz7rJndHLf9C/CPcdsFDJ88AYJg/aXxmf7vG02zM4SG5BtaOFj6BEOzD1xoZudK6iF8NZ0BrACO\nNrN1cf9zCTonzwB9Nlyc1HEKi6SLCF9OB6u6HxO/Yn4ReKmZrYlhNcu6pOMJXS2N0GX/0vzOwnGy\nIS3/cJyi43WB49RGYZa8KwhlWoQv/v8KfAd/L2ibeM/4gJm9c8ydnY4i6ZPABwjDDpcRGrh3JDRk\n9AB3EhrPX1SQcLiU0AD4BHCMBeFoxykNLfdQkvRXBGd5MzATeI+kVxGmm7zFzF5NmOL1jLj/oYSx\ni7sDHyEIzTlOWbiYMGvNMCTtRJiK+6FEWM2yHhtb/w14C2GWjXnyKSid7qBt/3CckuB1gePUwMLM\nYHuZ2d6El+NngIX4e4EzjpC0I2Fijr3jR4eJhJn6zgG+HP1gLeEdmvi/JvpBP+GjhOOUinaGvO0J\nLDGz9XF8+0+AvyF0X14Q91kAHBGXjyC0wGJmtwOTJU1rw77j5EYUeHuyxqavMFJfp15Zfzdws4Xp\nj9cSxsofguOUnJT8w3EKj9cFjtMQBwK/N7NHCH7g7wXOeGIzYOuoBbQVQTh9f4aGHi4AjozLSf+4\nGjggx3Q6Tiq006D0G+CdknokTSKMgd8ZmGZmg7BJYG6HuP8rGD495qOMnK3AcUqDpPcCj5jZsqpN\n1WV9ZQxzH3DGDU34h/uBU2q8LnCcERwDfC8u+3tBCpjZAh/uVnzM7DHgywR9qkeBdYQhbmttaBr6\nSl0ACT+IHTTWSpqaa6Idp00mtnqgmd0n6RzgFoJw1gCjz15TS419hICTJBe9clLHzFKdgUvSVgT9\ni4Nqba6xbjXCoY7Im/uBkwVp+0E9mvQP8LrAyQmvCxwn27pA0uaE0QqnVczV27VGmNcFTi5k5QOS\nphB6Hc0gNCZdRdAJG5GEyiHVUeB+4ORAmj7Q1ixvZnaxmb3JzGYTuoA/AAxWuqxKmg48HndfSejB\nVGEnQhfAWvFm+ps3b57bKIiNPM4hI3YDeoG7JC2P5flOSTuMUtZXArvUCK/JRz96Kief/ClWrVqV\n+TUqSl55mrL75Uwr/jGC8ZR/48lup861QGW9qbqg7PnRDc8q3WQjBw4Ffm1mT8T1tt8L3vnO9/LO\nd76Xb3/7v0p73bvBRjecg1nmPnAg8AczW2Ohx9FC4G3AFEmV9+5kWd/kB5I2A7Yzs1rDqkt/3d1G\ncWykTVsNSpJeFv93IegnXQZcD/TFXfoYmsr7esJ0mEiaRej6N9iOfcfJGcUfZvYbM5tuZrua2SsJ\nFcJeZvY49cv6TcBBkiZHUdaDYlhNvvGNXfjmN2/jppvq7uI4RaJd/3CcspBrXeA4JeN9hPeBCm2/\nF/zkJx/kJz95HZdeelUW6XWcNHkYmCXpJZJE0ET6LbAIOCruczzD/eD4uHwUQbjecUpFy0PeItfE\ncZ4vACeZ2bo4DO5KSScSnOooADO7UdIcSb8jzPxwQpu2W2bFihVuoyA28jiHNJD0PWA2sL2kh4F5\nZnZxYpdNwxjqlXUze1LS54A74v7zLQiy1uGTbLHF0gzOpjWKmFeepmKQhn/UYs6cuQCcfPIJzJkz\nYmKtTOhU/o0nu2X2kc7UBdnSDfW82ygGcQjogcCHE8EpvBccTpiB/Z5M0t0teeu+3HnM7JeSrgaW\nEt6PlwLfBG4ELo/3/qXARfGQi4DvSHoQWA3MzT/V3ZO3bqMztNWgZDXE4cxsDaEyqbX/yY3Ee8EF\nFwCwxx57sP/++7eTxJrMnDkz9TjdRjHjTwsz+4cxtu9atV6zrJvZJcAlqSUsR4qYV56mYpCWf1Tz\nox8dCdzK5MlX5dag1Kn8G092y+wj3VgXdEM97zaKgZn9BXhZVVjb7wVZ0y15675cDMxsPjC/Kng5\nsG+NfdcDR+eRrtHolrzN2sb06b0MDj7EggULmDZtBqtWrcjETtn8QFmMo2sHSbbVVh/G7DkmTvwh\nTz/9xNgHOc4oSMJyEiNOiyC+Z2yzzXF87WsHctxxx3U6SU7JKZsfVHwAvsXcuUu47LJvdTpJTskp\nmw9A8IOiPac55aZsfjBUF1zL7NmXsGjRtZ1OklNyyuYD4HVBUQijGIf01MuaJ2n7QLsaSp+U9BtJ\nd0v6rqQtJPVKWiLpfkmXSZoY991C0uWSHpT0i6i7VJO//OUCnnvu/7JxYzkzyXEcx3Ecx3Ecx3Ec\np5tpuUFJ0o7Ax4G9zewNhOFz7yOMlf6ymb0aWAt8IB7yAWCNme0O9ANfbCfh7bB48WK3URAbeZyD\nkw5FzCtPk5M2ncq/8WTXfaRYdEM97zacdsjyuk+f3oskJDF9em9mdsB92WmdbsnbfMpP9jbK5gdt\n9VACNgO2jr2QtiJMgbg/cE3cvgA4Mi4fEdcBriao3juO4ziO4ziO43Qdg4MPEYbILIrLTjcjaQ9J\nSyXdGf/XSTpFUo+km+MInpskTU4cc24cwTMgqVziOY5DmxpKkk4BPg88C9wMnAr8wsz2iNt3Am40\nszdIWga828wei9seBPaNYn3JOONY6dVMmrQHzzyzuuX0OQ6kM05U0kXAe4DB2CMPSV8E3gusB34P\nnGBmT8VtZwAnAi8CnzCzm2P4IYQeehOAi8zsnDr2XEPJSZWsNAPS8o0a8bqGkpMqZa0LyqrR4BST\nLPVj4kvyt4DXEaZlOxF4ALgCmAGsAI42s3Vx/3OBQwmzvPWZ2UCNOEutodQtmivdRF4aSpImACsJ\nYtwnA6vN7IuSTgN6zOx0SYcCJ5vZYZL2Bb5qZrNqxOV1QQHoFn8ujIaSpCmEXkczgB2BrQmVQjVD\nV70qisQ2xyk6FwPV00zdDPyVmc0EHgTOAJD0WsKMDXsSfOLrCkwAzovx/BXwPkmvySn9jpMVbftG\njml1nHbJvS6oDJUp64OrM674KuFD8p7AG4H7gNOBW6IUxq0M+cehwG5RCuMjwPmdSbLjZMaBwO/N\n7BGGj9RZENeJ/5cCmNntwGRJ0/JOqOO0QztD3g4E/mBma8xsA7AQeBswJT4sAexEGAYHoYV2ZwBJ\nmwHbmdmTtaPuA87h+eefpb+/f9g4wsWLF7e93t/fn2p8tdYrYVnFX8tWFvayuP5Zx9/f389ZZ53F\nWWedRV9fH2lgZj8DnqwKu8XMNsbVJYTyDnA4cLmZvWhmKwgvGPvE34Nm9pCZvQBczlCFUniS17ko\neJo6T0q+URg6lX/jyW6ZfaQzdcFGBgcfyqxBKev8yCO/3UbnkbQt8A4zuxgglvt1lOBFOp/rnr0N\n9+XCcQzwvbg8zcwGAcxsFbBDDH8F8EjimEdjWK50S966L3eGiW0c+zAwS9JLCN28DwB+BWwPHEXo\n3no8cF3c//q4fnvcfmv9qC8BVrPFFhdx6qmnDtsye/bsUqxXCkJR0tPq+syZM4eFlSH+6rAFCxaQ\nAycCl8XlVwC/SGyrVA5ieKWxkoK9TDtOBjTiG47TLWRQF4iRnbwdp3DsCjwh6WJC76Q7CFIYw16k\nJY31Ij2YX5IdJxskbU74qHBaDKr3RaDWzb3mvn19ffT29gIwZcqUYe9Q1e+dza4PDAy0dXwj6wMD\nA5nGnyTr+KsbldK2l3Z+9Pf3MzAwsKn8pE27GkrzgLnAC8BS4IOEL3OXAz0x7Fgze0HSlsB3gL2A\n1cDc+MWuOk7XUHJSJa1xopJmADdUdDMS4Z8lzHb4d3H9PODnZva9uP4t4IcEEfuDzezDMfxY4C1m\n9okatlxDyUmVjHUz2vINM1tYI07XUHJSpcx1AUxgw4YXmTCh3blUnPFOhnp6byL00Hurmd0h6SvA\n0wR9mKmJ/Vab2faSfgB8wcx+HsNvAT5tZkur4nUNJSdV8tBQknQ4cJKZHRLX7wVmm9mgpOnAIjPb\nU9L5cfmKuN99wH6VRthEfK6hVAC6xZ/T9oF2eihhZvOB+VXBywniY9X7ridoCThO1yDpeGAO8K5E\n8KbhnZHK0E8Bu9QIr0Mf69ffxcKFT7NmzZpUv0T4evevDwwMsHbtWgBWrFhB3jTpG3XoA9awbNlK\n+vv73Qd8vbA+kHVdAMb8+fPp6elxP/D1ovrBSuARM7sjrl9D0E8alDQt8SL9eGL/BuuDPuA5li+/\nr3R1QWAxUIz0jMf1Dj0PvY+h3qoQRur0AefE/+QIno8BV0iaBaytbkxynMJjZoX6AQZm8IRNmjTV\nsmDRokWZxOs2ihe/mVko5qmUzV5gWWL9EOC3wPZV+72W0DtvC+CVwO8ILxCbxeUZcdsAsGcdWwZm\n22zzfluwYEHm16gR8sirZvE0NU5aflDr165v1Ikz1gUX2ty5H8j8+lToVP6NJ7udOtcy1wUg27Bh\nQybXpRvqebfROBnXBbcBe8TleYSX53OA02LY6cDZcXkOoYcqwCxgSZ04ow8stNmzj8jkmmR53YfS\nv6hy7TPDfbkxsvSBED1bAX8Ctk2ETQVuAe4H/huYkth2XqwT7iL0cq3pB1nSLXmbtY3gz4uiT2eX\nJ3mch6VY5tvqoeQ44wVJ3yN8Xtpe0sOEB6UzCS8D/x0nqlpiZieZ2T2SrgTuIQwHPSk67wZJJxNm\nBJpAmCr63vzPxnHSIyXfcJxS4HWB44zKKcB3o37MH4ATCA2oV0o6kaC/ehSAmd0oaY6k3wHPxH0d\np/SY2V+Al1WFrSFMaFVr/5PzSJfjZEXLGkqS9iAIbxvhi9uuwL8SdJKuIHx5WwEcbWGWBySdS5g6\n9xmgz8wGasTrGkpOquQxVjptXEPJSZuy+YFrKDlpUzYfANdQctKnbH7gGkpO2pTNB8A1lIpCt/hz\n2j7Q8pOJmT1gZnuZ2d7AmwiNRAsJ3VlvMbNXE2ZyOwNA0qHAbma2O/AR4Px2E+84juM4juM4juM4\nTvGYPr0XSUhi+vTeTifHyYC0PnUdCPzezB4BjgAq87QviOvE/0sBzOx2YLKkaSnZb4qKYJvb6LyN\nPM7BSYci5pWnyUmbTuXfeLLrPlIsuqGedxtOO+Rz3bO34b7stEqW131w8CFCr55FcTk73Jc7Q1oN\nSscA34vL0yyq05vZKmCHGP4K4JHEMY/GMMdxHMdxHMdxHMcpNZImS7pK0r2SfitpX0k9km6WdL+k\nmyRNTux/rqQHJQ1ImtnJtDtOK7SsobQpgiC89xhhhpInJK0xs6mJ7avNbHtJPwC+YGY/j+G3AJ82\ns6VV8bmGkpMqZR0r7RpKTpqUzQ9cQ8lJm7L5ALiGkpM+ZfMD11By0iZrH5B0CXCbmV0saSKwNWHy\nhtVm9kVJpwE9ZnZ6lIQ52cwOk7Qv8FUzm1UjztJqKHWTD3TLuaTtA2nM8nYo8GszeyKuD0qaZmaD\nkqYDj8fwlcDOieN2IjRE1aAP2IHnn3+W/v5+Zs6cyezZs4GhLmC+7uv11gcGBli7di0AK1aswHEc\nx3Ecx3EcJ0skbQu8w8z6AMzsRWCdpCOA/eJuC4BFBN3hYZIwsXfTptE+jlMKzKytH3AZcHxi/Rzg\ntLh8OnB2XJ4D/DAuzyJMq1srPgMzeMImTZpqWbBo0aJM4nUbxYvfzCwU87bL+UXAIHB3IqyHMO3z\n/cBNwOTEtnOBB4EBYGYi/HjggXjMcaPYMzDbZpv324IFCzK/Ro2QR141i6epcdLwg3q/tPzDavgA\nXGhz534g+wsU6VT+jSe7nTrXMtcFINuwYUMm16Ub6nm30TgZ1wUrgLuApcAvLdW6YKHNnn1EJtck\ny+s+lP5FlWufGe7LjZGxD7wRuB24GLgT+CYwCXiyar/V8f8G4G2J8FuAvWvEm+k1cR9ojHAui+L5\nZHcueZyHpVju2+qhJGkrgiD3hxPB5wBXSjoReBg4KnrBjZLmSPodYUa4E9qx7Tg5czHwn8SvCJHK\njIaV7qtnAJXuq7uZ2e6x++r5wCxJPcC/AXsDAn4t6TozW5frmThO+rTtH7mn2HFaw+sCx6nPRmC2\nmT2ZCPO6wBlPTCTc2z9mZndI+grBB+qNjao17Kjmvn19ffT29gIwZcqUVEfwDAwMtHX8WOtByHpg\n07lkNWIlr/irhbnTtpd2fvT39zMwMLCp/KRN2xpKaeMaSk7apDVOVNIM4AYze0Ncvw/Yz4aGdy4y\nsz0lnR+Xr4j73QvMBvaP+380hn8DWFzZr8qWayg5qZKDZkBb/mFV3btdQ8lJmzLXBa6h5KRFlnWB\npOXAm81sdSIspbrANZScdMjYB6YBvzCzXeP62wkNSrsRy/cYfrDJX6ritbKWnW7ygW45l7R9wJ9M\nHKd1drDGZjRcGcN8pkNnPNGof7gfOGXH6wLHCRhwk6RfSfpgDPPZn51xQyzrj0jaIwYdAPwWuJ4g\nEkz8vy4uXw8cByBpFrC2ujHJcYrOuGxQGtltzW10ykYe59ABqlt8K83ZDXdrLSJFzCtPUykptB90\nKv/Gk91x5COlqAu6oZ53G4XhbWb2ZoJu6sckvYMUhvpkTT7XPXsb7suF4RTgu5IGCJpKXyBIwhwk\n6X5CI9PZECRhgOVREuYC4KROJNh9oCkr2VsomR+0q6E0GfgW8DrCuOkTCSKTVwAzCOJ8R1d0ASSd\nS5gV7hmgz8wGakTrOGWh2RkNVxKGOyTDF9WPvo/16+9i4cKnWbNmTcdnOxwYGCjUbH5JipKeIq0X\nYLbDlGb8XMOyZStzm/GzQt55lrV+QdHOt8t8IPO6AIz58+fT09OTuh9kfW/Po+6oUIRy1856FveB\nPOuC2AMJM/uTpGuBfUitLniO5cvvy6QuyLKMBhYPLRWszBVtvew+AGBmdwFvqbHpwDr7n5xtihwn\nW9rSUJJ0CXCbmV0saSKwNXAmQbm+Ir7XY2YV8b2TzeywKL73VTMbIb7nGkpO2qSom9FL0M14fVw/\nB1hjZudIOh2YEsv6HIIY32Gx+2q/mVWEWO8giPVNiMtvMrO1NWy5hpKTKjloKPXShn/UiM81lJxU\nKXNd4BpKTlpkVRdImgRMMLM/S9qaMLPbfEJvjBTqAtdQctIh6+ehLHANpWLQLeeStg+03ENJ0rbA\nO8ysD8DMXgTWSToC2C/utoDw1e104AjirChmdrukyZUvFm2k33FyQdL3CF+Ut5f0MDCP0F31KjU4\no6GZPSnpc4SXBwPm13qBcJyykYZ/OE4Z8LrAceoyDVgYGoCYCHzXzG6WdAc++7PjOE7X0s6nrl2B\nJyRdLOlOSd+MXycKL75X3UXabXTORh7nkAZm9g9mtqOZbWlmu5jZxWb2pJkdaGavNrODki8EZnay\nmb3KzN5oZncmwi8xs93NbA8zu7QzZ9MaRcwrT1MxSMs/ikCn8m882S2zj3RjXdAN9bzb6DxmttzM\nZprZXmb2ejOraMSsKXpdkM91z96G+7LTKu4DTVnJ3kLJ/KAdDaWJhO7aHzOzOyR9hdATKQXxvT5g\nB55//tnSjZWuLgCdHotcxLHMWcdfAO0Yx3Ecx3Ecx3HGGZJWAOsI+sIvmNk+caizaww7XUnLGkqS\npgG/MLNd4/rbCQ1KuwGzbUh8b5GZ7Snp/Lh8Rdz/PmC/6iFvZddQmj69l8HBhwCYNm0Gq1at6GyC\nnNKOlXYNJSdNyuYHrqHkpE3ZfABcQ8lJn7L5gWsoOWmTg6bkHwi6eE8mws6hTY3hspadbvKBbjmX\ntH2g5SeT2BD0iKQ9YtABwG+B6wldjIj/18Xl64HjAKL43tpu1E8KjUkG2KaGJcdxHMdxHMdxHKfr\nESPfsY8gaAsT/49IhG/SGAYmx04bjlMa2v3UdQrwXUkDwBuBLwDnAAdJup/QyFQZQ30jsDyK710A\nnNSm7Zbx8ZXFsVG2MaLjmSLmlafJSZvxpGXUKbvuI8WiG+p5t+G0g78XFCP+vGzkgAE3SfqVpA/G\nsEJrDLsPNGUlewsl84N2NJQws7uAt9TYdGCd/U9ux57jOI7jOI7jOI7jFJS3mdkqSS8Dbo6dLNrW\nGO7r66O3txeAKVOmpKoxnLVmbmiEGZKGKquGccJCpvbSzo/+/n4GBgY2lZ+0aVlDKSvKrqHULWMr\nu4kcxkp/EvgAQXxvGWHq2x2By4Ee4E7g/Wb2oqQtCF1b3wQ8ARxjZg/XiNM1lJxU6YRuRjO+UeNY\n11ByUqXMdYFrKDlpkYMfTADuAFaa2eGSeknFB1xDyUmHPJ+HJM0D/gx8kDY1hstadrrJB7rlXAqj\noRQTs0LSXZKWSvplDOuRdLOk+yXdJGlyYv9zJT0oaUDSzHYT7zidRtKOwMeBvc3sDYRef+8jDP38\nspm9GlhLeMkg/q8xs92BfuCL+afacbKnBd9wnNLidYHjbOITwD2JdfcBZ9wgaZKkbeLy1sDBhA8M\n41pj2Olu2v3UtZHQ2rqXme0Tw04HbokVx63AGQBRxX63WHF8BDi/Tdst4+Mri2OjbGNE67AZsLWk\nicBWwGPA/sA1cfsC4Mi4nBTlu5qgM1YKiphXnqbC04hv/E2H0laT8aRl1Cm7XewjpawLuqGedxvF\nQNJOwBwg2aX0XYxzH4hWsrfgvlwEpgE/k7QUWALcYGY3U3CNYfeBpqxkb6FkftCWhhL1Vez3i8sL\ngEWERqZhKvaSJkua5q2wTpkxs8ckfRl4GHgWuJnQpXutmW2Mu61kSGBvk/iemW2QtFbSVDNbk3PS\nHSdTmvCNHbNKw/TpvZtm25w2bQarVq3IypQzzvG6wHEA+ArwaWAygKTtgSfdB5zxgpktB0aMwonl\n2jWGna6k3Qalioq9AReY2beoUrGXNJaKfe4NSkMCYZlayd5CDueRtY188iI7JE0hNJbOANYBVwGH\n1th1aMBtVRTUFerrY/36u1i48GnWrFmTqvheUcXuumF99uzZhUjPwMAAa9euBWDFihXkTQu+UYM+\nYA3Llq2kv7+/aR8IjUkh+sFBsXjx4kKUkVrrlbCipKcbfCRPH8i6LgBj/vz59PT0ZFIXVMgqX7KO\nv1vKbSWsjH4g6TBg0MwGJM2uBDOyrLfoA8+xfPl9LdUFjaxXyCJPQ4+GdNPbiTLqPtC9DC+vmVnJ\n3oKfR0doS5Rb0vSkij1wCnCdmU1N7LPazLaX9APgC2b28xh+C/BpM1taFaeLcjupkqX4nqS/B95t\nZh+K6+8H3gr8PTDdzDbGMdHzzOxQST+Oy7dL2gz4o5ntUCNeF+V2UiVvUe5mfaPG8W2Lcte7H1d6\nLnmvpfFFmesCF+V20iIrP5D0BeBY4EXCkM9tgWsJGjIp+ICLcjvp0IlJStrFRbmLQbecS6FEuc1s\nVfz/E6HS2AcYlDQNQoMT8HjcfSWwc+LwnQj6AjXoA87h+eefpb+/f9jXg8WLF7e93t/fn2p81V83\nwpeIxZnEn1yvLGcVP5DJ9c86/v7+fs466yzOOuss+vr6yJiHgVmSXqJwlzkA+C1hqOdRcZ/jGS6+\nd3xcPoqgM1YKRpbzzuNpKjTN+kZuVHouVYbDJelU/o0nu13qI6WtC7LOjzzy2210HjM708x2MbNd\ngbnArWZ2LO4DFSvZW3BfLgSSJki6U9L1cb1X0pI4YdVlUWcPSVtIujxOWPULSbt0Ks3uA01Zyd5C\nyfyg5SFvkiYBE8zszwkV+/kMqdifw0gV+48BV4ytYn8JsJottriIU089ddiW6i5gRVuPoVQKW6fT\n0+56sltxWeKvDluwYAFZYWa/lHQ1sBR4If5/E7gRuFzS52LYRfGQi4DvSHoQWE146HKcrqMF33Cc\n0uJ1gePU5XTcB5zxRWWmw+3iemWmw6skfYMww+EFJGY6lHQMYaZD9wOndLQ85E3SK4GFhH5fE4Hv\nmtnZkqYCVxJ6Iz0MHGVma+Mx5wGHAM8AJ5jZnTXi9SFvTqqUtWurD3lz0qRsfpDlkLehcL9HjyfK\n5gPgQ96c9CmbH/iQNydtMh7+vBNwMfB54FNmdrikPxE0hsca9rnKzF5WJ14f8lYAuuVuC7dVAAAg\nAElEQVRc0vaBlnsouYq94ziO4ziO4ziO4wA+06EzDhmXn7p8fGVxbJRtjOh4poh55Wkaf0yf3osk\nJDF9em/q8Y8nLaNO2XUfKRbdUM+7Dacd/L2gGPHnZSMrkjMdMjSLYUozHWaL+0BTVrK3UDI/aLmH\nkuM4juPkTUVQOyyXZtSG4ziO4zjdzV8Dh0uaw9BMh/3AZEkTYi+l5KRUlQmrHotD3rYzsyfrRd7X\n10dvby8AU6ZMGaZDW2mAaHV9YGCgrePHWg+NMAObziXt+KsbYLKOv7pRKW17aedHf38/AwMDm8pP\n2rSsobQpAmkCcAewMo4T7QUuB3qAO4H3m9mLkrYALgXeBDwBHGNmD9eIzzWUnFQpm14AuIaSkz5l\n84N6Gkpj3WOnT++tmr3NNZScQNl8AFxDyUmfsvmBayg5aZOHD0jaD/jn+G58BfB9M7siinLfZWbn\nSzoJeJ2ZnSRpLnCkmdUU5XYNpWLQLeeStg+k8WRSUbKvUFGyfzWwlqBgDwkle0Jr7RdTsO04HUfS\nZElXSbpX0m8l7SupR9LNcYrQmyRNTux/bpwidEDSCB0yx+kWmvWN5tlyxNC3oR5M5azknfLidYEz\nnpG0paTbJS2VtEzSvBhe+CnTHSdjTgc+JekBYCrDZzp8aZzp8NS4n+OUjrYalKKS/RwgOf3Ou4Br\n4vIC4Mi4fERcB7gaOKAd2+3g4yuLY6NsY0Tr8FXgRjPbE3gjcB+hUrglNqzeCpwBIOlQYLfYsPoR\n4PzOJLl5iphXnqbC07BvtMZ6wKp6JLXHeNIy6pTdLvaRUtYF3VDPu43OY2brgf3NbC/CpD2HStqX\nEnxo9veCYsSfl408MLPbzOzwuLzczPY1sz3M7BgzeyGGrzezo81sdzObZWYrOpVe94GmrGRvoWR+\n0G4PpYqSvUFzSvbAWklT27TvOB1F0rbAO8zsYgAze9HM1jG8AXVBXCf+Xxr3vZ0wrnpavql2nOxp\nwjeOrBOF45QGrwscB8zs2bi4JUGn1YD9KfiHZsdxHKd1WhblTirZS5pdCSYVJfs+YAeef/5Z+vv7\nUxUdy1q0K8YKpJveWuuzZ8/ONP5NZ7N4caniHxgYYO3atQCsWLGCjNkVeELSxYQv0ncQuq1OM7NB\nADNbJWmHuP+mhtXIozFsMOuEtsvwMl4MPE2FplHfeFkH0ziCTuXfeLLbpT5S2rog6/zII7/dRjGI\nuqq/BnYDvgb8Hlhb9CnT87nu2dtwX3ZaxX2gKSvZWyiZH7Qsyi3pC8CxwIsMKdlfCxwMTDezjZJm\nAfPM7FBJP47Lt0cl+z+a2Q414nVRbidVshTfk/QmYAnwVjO7Q9JXgKeBk81samK/1Wa2vaQfAF8w\ns5/H8FuAT5vZ0qp4XZTbSZW8hVib9Y0axzckyl0trl17O3X28Xv0eKLMdYGLcjtpkZMg8XbAQmAe\n8G0z2yOG7wT80MzeKOk3wMFm9ljc9jvgLdWzXLkot5M2ZROmBxflLgrdci5p+0DLPZTM7EzgzJio\nipL9sVHJ/ijgCuB44Lp4yPVx/fa4/dY20t0WyR4xGVrJOP58ziNrG/nkRaasBB4xszvi+jUEzYxB\nSdPMbFDSdODxxP47J45PTh9aRR/r19/FwoVPs2bNmkx66jXb8+vUU0/tmP1a65WwoqQnmZZOpyfn\nnnq1aNY3atAHrGHZspWbeqsOsXjYnsnrXmt7ZZ+h+81iYPP4cAA9PdP4/vcvB5orU3Pn9m3ScOrp\nmcaaNatG3b/eela9cYvoQ3n5SM4+kGldAMb8+fPp6elJvZxkfW/Po+6ohJW93GZxH+hEXWBmT0m6\nDZgFTFHbU6b3Ac+xfPl9mV2jrMpoYPHQUonLqPvA2EjaEvgJsAXhPftqM5uvNmdBz5rFw56PMrOS\ncfx5nke2NvI5jxQxs7Z/wH7A9XH5lYRGowcIjUqbx/AtgSuBBwlf8XrrxGVgBk/YpElTLQsWLVqU\nSbxmZkPpX2Th8mZHlueRl408ziHmQyplvdYPuA3YIy7PIwhQngOcFsNOB86Oy3MIX+cgPGgtqROn\ngdk227zfFixYkPk1aoQ88qpZPE2Nk7Uf1Po14BunVXyjxrHxXnqhzZ37gWHnEcKTy1tWpnWrs92G\n3Y+Hwkdubzb/6tlolk6Vm07Y7dS5lrkuANmGDRsyuS7dUM+7jcbJyg+AlwKT4/JWhJfqOfFd4JgY\n/g3gn+LyScDX4/Jc4PI68UYfWGizZx+RyTXx94JixJ+XjRzqgknxf7P4zrtv9IOjbMgPPhKXP5rw\ng2NG84MscR9ojHAui9p+5huLPM7DUizzLQ95ywof8uakTdZdWyW9kTDT4ebAH4ATCJXIlYSvbw8T\nKpG1cf/zgEOAZ4ATzOzOGnH6kDcnVTrRxbtZ36g6tqkhb/WGuQ0tv4QwK1yFkce1cr/2e355KHNd\n4EPenLTIyg8kvZ4gsj0h/q4ws89LeiVDPTOWAsea2QuxJ8d3gL2A1cBcqzHLlQ95c9Imr+chSZMI\nDasnAT+gMUmYVWY2QlvSh7wVg245l8IMeXMcJ2BmdwFvqbHpwDr7n5xtihynGDTrG9mynvpzRNRn\n+vReBgcfYtq0GaxatSKLhDldgtcFznjGzJYBe9cIX07ooVEdvh44OoekOU6ulFWc3nFapeVPXZK2\nlHS7pKWSlkmaF8N7JS2RdL+kyyRNjOFbSLpc0oOSfiFpl7ROolmSY4AztJK9hRzOI2sb+eSFkwZF\nzCtPk5M21fkX9JFsk05SXnbzohN23UeKRTfU827DaQd/LyhG/HnZyBoz22hmexE0w/YB9qy1W/xv\nYhb07HAfaMpK9hZK5gftiHKvl7S/mT0bu+j9b+y29yngy2Z2laRvAB8ALoj/a8xsd0nHAF8kjJl2\nHMdxnMJQ6ZXU6nbHcRzHccY3lrI4fV9fH729vQBMmTIlVfHygYGBto4fW5x+MTCw6VyyEqfPK/7q\nRqW07aWdH/39/QwMDGwqP2mTioZS2mNEXUPJSZOyTg/qGkpOmpTND9LXUBr7uMr9up6N0bcPj8Mp\nHmXzAXANJSd9yuYHrqHkpE2WPiDppcALZrZO0lbATcDZhJnOv29mV8QOF3eZ2fmSTgJeZ2YnSZoL\nHGlmIzpcuIZSMeiWcymUhpKPEXUcx3Ecx3Ecx3EcXg4siO/IFXH6GyXdC1wu6XMEcfqL4v4XAd+R\n9CBRnL4TiXacdmjrU1cZx4iCj68sko2yjREdzxQxrzxNTnpsiaT49Sl/XEPJ6RTdUM+7Dacd/L2g\nGPHnZSNLzGyZme1tZjPN7A1m9vkYvtzM9jWzPczsGDN7IYavN7OjzWx3M5tVa6bDPHAfaMpK9hZK\n5gepzPKW9hhR6AN24Pnnn6W/vz/VMaKLFy9mYGAgwzGikCxoWY3hzGs96zG1WcQ/MDDA2rVhFvIV\nK1aQB/FLxB3ASjM7XFIvQ9Pk3gm838xelLQFcCnwJuAJ4BgzeziXRDpOB2jUNzqXwgqVWeAWA/vX\n2L5lxxqbnHLg9YAznpG0E6FcTwc2ABea2bmSeoArgBnACuBoM1sXjzkXOBR4Bugzs4FacTuO4zjF\npWUNpSzHiLqGkpMmeegFSPok4eVgu/gicQVwdUKcfsDMLpD0UeD10Q+OAf5mND9wDSUnLTqlm9Go\nb9Q4LncNpfb3fQmhYQqmTZvBqlUrxrg6Tp5k7QNp1wMxTtdQclIlKz+QNJ2goTogaRuCJMYRwAnA\najP7oqTTgB4zO13SocDJZnaYpH2Br5rZrBrxuoaSkypl0xED11AqCt1yLmn7QDtPJi8HFkkaAG4H\nbjKzG4HTgU9JegCYyvAxoi+NY0RPjfs5TumJX+XmAN9KBL8LuCYuLwCOjMtHxHWAq4ED8kij43SC\nBn3jb8aK59prv9/R4WiNU+nlZD4L3DjD6wFnvGNmqyo9jMzsz8C9hJEKyfK+IK4T/y+N+98OTJY0\nLddEO47jOG3TcoNSWceIgo+vLJKNso0RrcNXgE8Tm6wlbQ882Yg4PbBW0tR8k9saRcwrT1PhacQ3\ndhwrkueee5JKQ032LE4pnjBEbvr03sasuoZS2SltPdAN9bzbKBZxuOdMYAkwzcwGITQ6ATvE3Tb5\nQeRRhnwkV/y9oBjx52UjSyTtJOlWSfdIWibplBjeI+lmSfdLuknS5MQx50p6UNKApJmdSLf7QFNW\nsrdQMj9IRUPJccYrkg4DBmMX79mVYEaK0LcgTt/H+vV3sXDh06xZsyZ1LbFm17PUHmt1vUJR0lOk\n9U5oiSVpwTdq0AdUJgLtJ7yfVFhcte9Y65Ww2WNsb/X46vX1wCIGB4MeUyf05BpZ35T6ApTZtNfz\n8oFs6wEIfmDMnz+fnp6eUulK5lV3VChCuWtnvRt0JeNwt6uBT5jZn8OQtdq71gir+zwEz7F8+X2u\nrdrl613gAy8Cn0oO/ZR0M2Ho5y2JoZ9nAJWhn7uZ2e5x6Of5BE1ixykNLWsoZYVrKDlpk+VYaUlf\nAI4lVCBbAdsC1wIHE7QENkqaBcwzs0Ml/Tgu3x7F6f9oZjvUiNc1lJxUyVszoFnfqHH8Jg0l+BDp\naSG1elzrNrweKAYZasdkUg/EuF1DyUmVjJ+JJgI/AH5kZl+NYfcCs81sMOosLTKzPSWdH5eviPvd\nB+xX6c2UiNM1lJxUyfN5SNK1wHnxt18DfrDJX6ricQ2lAtAt51IYDaWydulznDQxszPNbBcz2xWY\nC9xqZscCi4Cj4m7HA9fF5evjOnH7rXmm13HyogXf6FK23KT/1OjwN6dceD3gOJv4NnBPpTEpcj2h\nixHxP+kHxwHEBte11S/RjlNmyjb003FapZ1PXZUufa8F3gp8TNJrCGLbt5jZqwkPSWcAJLv0AR8h\ndOnrCNVdpDOykr2FHM4jaxv55EVH6Dpx+iLmlaeplNTzjYKwOOX4GhPq7lS56YTdceQjpagHuqGe\ndxudR9JfA/8IvEvSUkl3SjoEOAc4SNL9BAH6swHiRD7LJf0OuAA4qUNJ9/eCgsSfl408qB76Sf1h\nzU0M/cwO94GmrGRvoWR+0LKGUmxdXRWX/xy76FVmc9gv7raA8IXudKpmc5A0WdI0/xrhdAtmdhtw\nW1xeDuxbY5/1wNE5J81xOkojvuE43YDXA854xcz+F9iszuYD6xxzcnYpcpzOEId+Xg18x8wqPfIG\nK++9ccjb4zF8JbBz4vCdgMdqxdvX10dvby8AU6ZMSVVLLGsdx9AIM7DpXLLS4sor/upGpaJrifX3\n9zMwMLCp/KRNKhpKsUvfYuB1wCNm1pPYttrMtpd0A/DvZvbzGH4L8Bkzu7MqLtdQclIlb+2YNHAN\nJSdtyuYH3aShNBT2EkKPJZgwYRIbNz4LwLRpM1i1asVol8NJgbL5ALiGkpM+ZfMD11By0iZrH5B0\nKfCEmX0qEXYOsMbMzpF0OjDFzE6XNAf4mJkdFod+9pvZCFFu11AqBt1yLmn7QNuzvGU3m8MOPP/8\ns5nM5pDlemAxUIz0jMf1Ts9u5TiOU5vK8DfYuHHooWRwsDTvdo7jOI7j1CEx9HOZpKWEiv5MwtDP\nKyWdCDxM1NczsxslzYlDP58hzAbnOOXCzFr+ERqkfkxoTKqE3UsQHgOYDtwbl88Hjknsd19lv6o4\nDczgCZs0aaplwaJFizKJ18xsKP2LLFze7MjyPPKykcc5xHxoq6zn/auUo222eb8tWLAgk+vSLHnk\nVbN4mhqnbH4wdC+9MHFftTrLY21v5rhFOdgYudypctMJu50617L5gA3zA9mGDRsyuS7dUM+7jcYp\nmx8M+cBCmz37iEyuib8XFCP+vGyUzQcs+kGWuA80RjiXRZue3bIij/OwFMtnu32nfTYHx3Ecx3Ec\nx3Ecx3GccUbLGkqxS99PgGUQp7AJXfp+CVxJEBh7GDjKzNbGY84DDiF26bMq/aS4j7mGkpMmWY6V\nlrQTQWx+OrABuNDMzpXUA1wBzABWAEeb2bp4zLnAoQQ/6DOzgRrxmmsoOWmSt25GK75Rdbx1n4ZS\n/WWvK7KnzHWBayg5aZGVH0i6CHgPMGhmb4hhbZX/uJ+5hpKTJmXTEQPXUCoK3XIuaftAy08mZva/\nZraZmc00s73MbG8z+7GZrTGzA83s1WZ2UKUxKR5zspm9yszeWKsxyXFKyIvAp8zstcBbgY9Jeg1h\nZsNbzOzVwK3AGQCSDgV2M7PdgY8QhoI6TjfSlG84TsnxusAZ71wMvLsqzMu/4zhOlzMuP3WNnPov\nEyvZW8jhPLK2kU9eZIeZrap8VTOzPxM0xHYCjgAWxN0WxHXi/6Vx/9uByZKm5ZroFiliXnmaiksT\nvnFkZ1JYj8WdsdqhctMJu93oI2WuC7qhnncbncfMfgY8WRVc+PIP/l5QlPjzspElki6SNCjp7kRY\nj6SbJd0v6SZJkxPbzpX0oKQBSTM7k2r3gSatZG+hZH7QVoNSWZ3GcbJAUi8wE1hCEJwfhPCiAewQ\nd3sF8EjisEdjmON0LWP4xsv+H3vvHmZHVeX9f74hwMg1ASE9EEyLgjIKRkYJXkYaBQV0QJ1BwFsa\nHXXEu74KMu9vEnBUYF6lRUVA+YXACOGuoIwgYzfvyyAokgaUq5oQAqa5JEEQ5Q1kvX/sfdLVp885\nfS5VdapOr8/z9NN1XWvtqr3Ortq119rds8xx0sfbAsfZxM5e/3uDvr5+DjzwQCTR19ffbXOKjI/U\nc6YdbedQApD0euAp4PxEvPSpwONmdpqk44HZZnZCdJqPm9lbJS0AvmFm+9eQ6TmUnFTJI1Za0jaE\nLusvmdkPJa01sx0S+x83sx0l/Qj4ipndFLdfD3zezJZXyfMcSk6qdCtnQLO+UeM8z6HkpEqZ2wLP\noeSkRca5xOYBVyfeCTqq/3Gf51AqAL1SDsi+LajhB/cAB5jZmKQ+YNjM9pJ0Vly+OB53NzBQa9Iq\nz6FUDHqlLGn7wMxOTjazG6PTJDkCOCAuLwWGCT2zE4a3Stpe0pxaTuM4ZULSTOAy4AIzq8xqOFap\n37HxeCRuX01IWF9hLvBwbcmDPPPM7Vx55ZOsXbuW+fPnMzAwAIwPhfR1X6+3Pjo6yvr1IYXdypUr\n6QYt+kYNBoG1cXmIMOijwkjVsVOtV7YNZLS/3vHN2LNlfEiBOXPmsWbNykLUobKv5+0DWbYFYJx0\n0knMnj3b2wJfL7QfVJFC/YfgA39hxYp7GBoaKpUPBEaotB3dtqfd9YllSawVxL4C+wBUjdSTNNVI\nPX83dsqFmXX0R5i54Y7E+tqq/Y/H/1cDr01svx7Yt4Y8AzN4zLbaagfLguHh4UzkmpmN2z9s4fJm\nR5blyEtHHmWI96Hjul7vj9BR+vWqbacCx8flE4BT4vJhwI/j8v7AzXVkGphts837bOnSpRlfoebI\n4161itvUPFn7Qa2/Jnzj+Ipv1Dg3/pZ+N/G7anWWp9rfynnDOeiotTwcl7c0wGbM2Cpux+bMmZdZ\nvehGfe2Wj5S5LQDZc889l8l16YV23nU0T5Z+APQDdybWO6r/NsEHrrSBgSMyuSb+XjA1E9up7MpR\ndh8I4pt+N/5RjXfjV9aRmek1cR9ojl7xg7R9oKMRSi1Sa1iV5ajfcVJH0uuA9wB3SlpOqNMnEh6i\nLpH0AWAVcCSAmV0j6TBJvyVMlXtsdyx3nGxp1TecCs8AxsaN48Oqx8Zqj0ru6+tnbOwBZszYio0b\nnwbGRzg5+eJtgTPdkXQhYRjOjpJWAYuAU4BLvf4705xURuoNDg7S398PwKxZs1IdqTc6OtrR+VOP\n1BsBRjeVJeuRdGUfqZf2/RgaGmJ0dHRT/UmbjnIoQc040U3xn1PEiW6KJ62SZ7AQ2JmZM7/Jv//7\nV0s1tDWELQwT2lQxPDxcKPumw3r10NalS5diXcgd0wmeQ8lJm27lUGqX6ZZDqfF5f0XoaJrYYTQe\ny187pr/S4VR93nSlbD4AnkPJSZ+y+YHnUCoGvVIOyCWHUj/h3XjvuH4qYZTSqZJOAGZZyC98GPAx\nC/mF9weGrEZ+4SjDynrNe63u9EJZ0vaBNDqU+knRaTwpt5M2ZXt4Au9QctKnbH7gHUpTJ/CeqkPJ\n26OJlM0HwDuUnPQpmx94h1Ix6JVyQOaJ6TeN1CPkQloE/AC4lDAaaRVwpJmtj8d/CziEOFLPzG6r\nI9c7lApAr5QlbR/o6MkkOs1NwJ6SVkk6ljC89WBJ9wJviuuY2TXAiji89WzguI4s74DJw9Yy0ZK9\nhhzKkbWOfO6FkwZFvFduk5M+IyXXGxJ8V5J819qenPK5G/XVfaRY9EI77zqcTvD3gqY1ZCy//D5g\nZu82s13MbEsze4GZLTGzdWZ2kJm9xMwOrnQmxeM/bmYvNrNX1OtMygP3gZa0ZK+hZH7Q6Sxv766z\n66A6x3+8E32O4ziO4zQi5GAKqOb2Sk6mZEic52FyHMdxHMdxWqXjkLe08ZA3J23KNrwbPOTNSZ+y\n+YGHvNXbP55PKdCOjqSMxmF1vUTZfAA85M1Jn7L5gYe8FYNeKQeUzwfAQ96KQq+UpVAhb47jON2k\nr6+/ZhiP4/QulZFGnTzEJEcx1aJ2eJzjOI7jOI7jJMm9Q0nSIZLukXSfpOPz1g8eX1kkHWWLEU2D\nIvhAOxTxXoVwnfByXQnd6TZFvE5FpLh+MOJ6E51WY2NrkMRmm229qZMpudxOh5P7SKAoPtAL7bzr\nKC9F8AN/L2haQ8by3QfcBzrU4OXoCrl2KEmaAXwLeAvwMuAYSS/N0waA0dHRPLRkryGHcmStI597\nURyK4gPtMN3uVbv4dZqaYvtBt+5fUfWGzqWQX8kmLbfTkes+Uiwf6IV23nWUk6L4gb8XNK0hY/nu\nA7gPdKbBy1GXZFRH2uQ9Qmk/4H4ze8DMNgDLgCNytoH169dPfVDnWrLXkEM5staRz70oFIXwgXaY\nhveqLfw6NUWB/aBb96+selsPj3MfAQrkA73QzruO0lIIP/D3gqY1ZCzffYAGPrBx40Y2btyYiRHu\nAy1pyV5DBuVIRnWkTd4dSrsCDybWV8dtTgHp6+vnpJNO8jwa6eI+4DjuBz1EMjxufLRS5UtYrVC5\nk046qeOwuR6gcD7gOemcLlA4P3CcnGnaBzbbbCbbbbcjjz9ergmrnN4n7w6lWmOsJnWTbbHFLLbY\n4oXsvHNfJkasXLkyE7lVWrLXkHE5wsvBQrLMT5NVGbIc1tchTfkABD/485+X0deXjR+0Sj5+U36K\ndJ3K7gdbbDGLzTb7RA7mJFmZs75e0js+WqnyJax2qNzCmmFzyfraTIdT5fiSdn601BbMmrUTu+yy\ne8N8VpXlqfZXH1v5cDQxJ92ajuVWtp100r91ZG8zeis60sj1Va9jLY/f9mZ19FDnX9NtwcyZ72Hu\nXH8vaKgh83JkLd/fCyJ12oLteO655zKZWcx9oCUt2Wso0LtEMyjP6e4k7Q8sNrND4voJgJnZqYlj\nyjn/nlNoijI9aDM+ELe7HzipUyY/cB9wsqBMPhC3ux84qVMmP3AfcLKgTD4Qt7sfOKmSpg/k3aG0\nGXAv8CbgD8AvgGPM7O7cjHCcLuI+4DjuB47jPuA47geO4z7g9AIz81RmZs9J+jhwHSHc7lx3GGc6\n4T7gOO4HjuM+4DjuB47jPuD0ArmOUHIcx3Ecx3Ecx3Ecx3HKT95JuTch6RBJ90i6T9LxNfZvIWmZ\npPsl/VzSCzLQsVDSI5Jui38faFH+uZLGJN3R4JgzYhlGJc1vowwNdUg6QNL6RBn+Z4vy50r6maS7\nJN0p6ZNpl6MZHSmUY0tJt0haHnUsqnFMx3UqbfLwgwxs6shv2rAncz/Lwq5O63SbNmXuz3kwVR3s\nUPZKSbfH34pfxG2zJV0n6V5J10raPnF8W9eqVv1oR0/0t/viOe9vU+8iSasTdfGQxL4vRr13S3pz\nYntL96Be3cuyzDV0fiKv8mZNWvakVQ+n0JHavW+go2YbL6lf0s1Rx0WSZsbtbbWdkmbEOnNVRvIz\n//2RtL2kS2Md/42kBWnryIKp6ny717xFHf5e4O8FXcN9IB0dndadKCNTP+g5HzCz3P8IHVm/BeYB\nmwOjwEurjvkocGZcPgpYloGOhcAZHZTj9cB84I46+w8FfhyXFwA3Z6DjAOCqDsrQB8yPy9sQ4nir\nr1NH5WhSR0fliDK2iv83A24G9kuzTqX9l4cfZGRTR37Thk2Z+1lGdnVcp9uwKXN/zqEMU9bBDuX/\nHphdte1U4Atx+XjglE6vVa360aoeYDbwO2B7YFZluQ29i4DP1jh2L2A5Ify9P153tXMP6tW9LMvc\nQGfm5S2LD6RRD5vQkcq9b0JPdRu/ALgYODJu/w7wkbjcVtsJfAb4D+JvdwbyM//9Ac4Djo3LM6Mv\npf4bl3edb/eat6jD3wv8vSD3+t9C/XQfaE5HGnUnUz/oNR/o1gil/YD7zewBM9sALAOOqDrmCGBp\nXL6MkKwsbR1Qe7rGpjCzG4F1DQ45Ajg/HnsLsL2kOSnrgM7KsMbMRuPyU8DdwK5Vh3VUjiZ1QAfl\niLKfjotbEh6irOqQTutU2uThB1nYBB3eq1bIw88ysgtyvE6Qjz/nQLN1sF0qHQhJkn62NKGv7WtV\np360quctwHVm9oSZrSfkWDiEBjSol7Xq4hGEh4dnzWwlcD/h+rd8D+rUvblZlnmK+p5peTMmNXtS\nqodT6Ujr3k+lp1YbfyBweULH22uUsam2U9Jc4DDge4nNb0xLfkUNGf7+SNoW+DszWxLPe9bMnkhT\nR0b4e0F6OsDfCyp6yvRe4D6Qng7ovO5k6ge95gPd6lDaFXgwsb6ayRdx0zFm9hywXtIOKesAeGcc\npnZJfJhIk2obHqpjQ6fsH4ez/VjS37QrRFI/ocf3lqpdqZWjgQ7osBwKQ9WXA2uAn5rZL6sO6bRO\npU0efpCFTZCt37RKXn7WDqn4Zjvk4c8Z0WwdbBcDrpX0S0n/FLfNMbMxCI08sGgt+r0AACAASURB\nVHMdWzq9Vjs3qadS5jT1fyz67Pc0Hu5ST35H9yBR926m+WvbUZlr1PfcypsBWdvTbD1sub61ee+b\nvccT2njC6LX1ZrYxHpK8Tu20nacDnyc+cEvaEViXonzI/vdnd+AxSUtiiMQ5krZKWUcW+HtBuvh7\nAaV7L3AfSJfUnr+z9oNe8IFudSjV6m2r7jGrPkY1julUx1VAv5nNB/6L8R66tGjGhk75FTDPzF4J\nfAv4QTtCJG1D6Jn8VOwpnbC7xiktl2MKHR2Xw8w2xvPnAgtqOF6ndSpt8vCDVimC37RKHn7WDqn4\nZjvk4c8ZkrV9rzWzVxFGInxM0t81kJ/Xtarn52npPxN4UfTZNcDX6uityG9bb4261+y1bbvMNXTm\nVt6M6JY9Hent4N43paeqjd+PEMJYT05LbaektwJj8YuxEudUy2lLfoKsf39mAvsC3zazfYE/ASek\nrCML/L0gPfy9oGJQud4L3AfSI7Xn76z9oFd8oFsdSquBZNKnucDDVcc8COwGIGkzYDszm2p4W0s6\nzGxdHPIH8F3gb1uQ36wNuzWyoVPM7KnKcDYz+09g81Z7FhWSTF4GXGBmP6xxSMflmEpHGuVIyPoj\nMMLkMIlO61Ta5OEHqduUg9+0SuZ+1g5p1ulWyMOfM6YZv2ib+HUeM3uU0DjvB4xVhilL6gMeSdiS\n5rVqVU8q18LMHjWzygPCdwllTl1vnbqXaZlr6cyrvBmStT2p1/eU7n1TxDb+BmB/YJakyrNsUs4m\nHU22na8DDpf0e+AiQqjbECGEIQ35Fduz/v1ZDTxoZrfG9csJHUx5/ca1i78XpIS/F0ymJO8F7gMp\nkVbdydoPeskHutWh9EvgxZLmSdoCOJrQI5rkakJiMIAjgZ+lrSM2qhWOAO5qUQfU/oJV4Srg/VHX\n/oSh2WNp6lAiVlPSfoDMbG2L8v9/4C4z+0ad/WmUo6GOTssh6fmVsAZJzwMOAu6pOqzTOpU2efhB\n6jal5DetkoefpWpXSr7ZDnn4c5Y04xdtIWmr+DUISVsDbwbujPIH42GDQKVh7/RaVdePVvVcCxys\nMGvTbODguK0lvVU++07g1wm9RyvM8vFC4MXAL2j/HtSqe1mXeZLOHMubFWnb02k9bIY07n39AtRu\n4+8ChgltI4S2Mqmj6bbTzE40sxeY2e6E6/0zM3tvWvKj3Zn//sT9D0raM256E/CbNHVkhL8XpKTD\n3ws2nVO29wL3gZR0pPj8nbUf9I4PWAeZwzv5I/SQ3UtIinlC3HYS8La4vCVwSdx/M2H4Xdo6vkJ4\n0FxOGNa3Z4vyLyT0RD4DrAKOBT4CfDhxzLcIGfVvB/ZtowwNdQAfS5ThJmBBi/JfBzxHyPS/HLgt\nXrfUytGMjhTKsXeUOwrcAfxLFnWqjH5QNL9J2wc6rZ9Z2dVpnW7Tpsz9OadrO6kOpiT3hYlrc2ei\nfu8AXB91/hSY1em1qlM/Zreqh/Dydz9wH/D+NvWeT/hdHCWMipiTOP6LUe/dwJvbvQcN6l7L17bZ\nMjfQmXl5y+IDadXDvO59Ax312vgXEvJO3EeYkW3zuL3ttpPEzDppyien3x/gFYQXx1HgCsIsb6n/\nxuVR5/H3gpZ14O8FU/1mFPa9wH2gGD6Qhx/0mg8oCnMcx3Ecx3Ecx3Ecx3GcpuhWyJvjOI7jOCVF\n0kZJu3fbDmd6IOlJhZlwHGfaIWmhpP+TWH+tpPsk/VHS4RnoO0DSg1Mf6TjFJIb1bUzkwHMyxC9y\nG0g6WtLNkp6StEbSzyV9tNt21UPS4uhUr+q2LU7vUCY/kLSfwpSb6yQ9Fu0e7LZdTrkpgw9I+idJ\nd0naPLFtR0ljkt5c55wDJD0XX1b+KOlBSYurDrPE8UsknZxNCZyy0qp/NKpHZratma1sQfdgfO75\nxzZMd5zUkbRC0hurtk3oKJqCZEjJycAZZradmV0laUTSn+Pv9bq4/vIWbKv1gcBDWJzCU8uvEngd\nzgnvUGoRSZ8DTgdOJeRl6AP+GXht8oG9SVmbZWBiLd4LPM540q2a5GiPU3LK5AeSXkOIAx8mTCX+\nfOCjTJ7poFl59RINOtOIsviAmX2PMIvHosTmIeBHZnZdA1seii8r2wGvBz5Y9SXc/cCpS6v+kcFX\n5Pfjzz1OOWjnpXceE5MlG3Bc/L3ekTAL4gUZ2+A4jgN4h1JLSNqOkMjqo2Z2pZn9CcDMbjez95nZ\nBkmHSbpN0hOSHpC0KHF+ZfjdByQ9QHjJRdIlkv6Q+KrwN4lzdpB0dZR3i6QvVQ17famk6yQ9Lulu\nSUeSQNIbgL8GPgUcozBFYWXfQkk3Svq6pMeJLxzRvruizP+U9ILEOUOSVkV7finp9aleZKfwlNAP\nTgOWmNn/sjg7gpktN7Oj47mzouxH4vlXS9o1IXtY0r9FX/kT8ML49ft38Wvg7yQdk8W1dopJCX3g\nw8BHJe2jMCrpQOCz8bwDFEYgfUHSHwizjkzAzB4gJIT8m+p9kj4EvAf4QvSHWlPrOtOIJv1jiaQz\nFUaOPgkMTCFzo6TdJS2IPpKcxfAdkm5PrM8D3kCo92+RtFNiX836LultkpZH37tR0t6Jc46X9NtY\nv38t6e1pXCfHSdJsPZP0W0KC9x/FYysdtAIws43AMmCvxDmvlnRTrN8PSfqm4vuApBviuXdEeUeO\nn6bPKoxmfUg+qtspMJJmSPpfkh6NPvLWbts0nfAOpdZ4DbAFjafvfQp4n5ltT6jM/6zJ8c1vAF4K\nvCWuXwO8CNiZkI39+4ljzwSejPsGCV/bDMIUtMB1wH8AzweOAb4taa/E+e8nTAl4SVx/W5UtCwjZ\n6XcCvhwbsBOAt8dt/we4KHH8L4B9CLPEXAhcqjD1pDN9KIMfnClpL4VpMl8DXN7A1hmEl4rdgBcA\nTxNmbUjyXuCfgG2Bx4BvAG+JXwNfS5hBwZk+lMEHNrUFsUPoX4ElwHcIL/pPJGT3AbMI9f/D1QWR\ntAdhRpKfV+8zs+9GO0+LI5qOaHBNnOlBM/4BoZ5+ycy2Bf57imMNwMxuIfhWMsThGELdr/B+4FYz\nu5IwRfJ7qmRNqO+S9gXOBT5EmA3tbOCqxIv6b4HXxd/7k4D/UGI6Z8fpgORIz6bqmZm9mDDq9K3x\nN3fDBIHhmfy9hBmbKjwHfJpQv19D8J/jorwD4jF7R3mXxvU+wjPPLoTnn28rTkHuOAXkw8BhhFku\nXwV4uHOOeIdSazwfeCz2/gMg6b9jj//Tkl5vZv/bzH4DYGa/JnwlOCAhw4BFZvZnM3smHneemT0d\nG4WTgVdI2lZhCPg7gX81s2fM7G5gaULW24AVZna+BSpTxP5jtO15wJHA983sWeAyJg//fsjMzjSz\njdGeDwNfNbP7YjlPAeZL2i3aeqGZrY/Hn06YbvAlHV5Xp1yUwQ8uJ/jBbMLv3B/qFcbM1sav6M/E\nL+lfJbzoJznPzO6JZX6W8HC2t6S/MrOxaJMzfSiDD2xqC6LsbwMbgFEzu7qqPM9FWzZUbAF2lbRW\n0hOEl/Kbmfql33GgCf+Im39oZjcDJOpdPZIv3suAd0e52xJeIpYl9r+P8c7YC5n83FNd3/8JOMvM\nbo3+cwFhOur9o22Xm9lYXL6UML3yflNeBceZzA/i7+paSWuBb1d2tFHPqsOOz4gynyR0Fp2UkH2b\nmf0i1u9VwDlMbI9qyfu/hA7f58zsPwkduf687xSVI4EhM3vYzNYTnuWdnPAOpdZ4HHi+ErH+ZvY6\nM5tNGLUwQyH5788UwmfWAx8hPFwlWV1ZiEP0TonDXNcDKwgvGs8njBDaLHk84atEhXnA/onGaR3h\nIavyReOdhBeI/4zrFwKHSdqxjryKzG8kGrvHoz27Rns/pxAOty7q265G+Zzepkx+sA7YSAj7rImk\n50k6W9LKqPsGYJY0IVfSJn1m9jRwFCEP0x8UwpD8IWt6URYf6KvSdzfwmxrlebT6KzfhY8MOFkZY\nzQL+Apxf/5I4ziam9I+4ud1ZpC4E3hFHEL0T+JWZPQgg6XWEcKCL47EXAftI2idxfnV9nwd8rsp/\n5hJGZiDp/RoPh1sHvAx/7nHa44j4u7qDme1AHCUEqdSzT0a5WwJ/D1yumJhb0h7xWeUPsX35chOy\nH092ChNGb2/Tgj2Okye7MLFNeaBbhkxHvEOpNX5O+GpVa0h/5eXzQuAHwK5mNoswdLq61z+Z/O7d\nhB/+N8bj++PxAh4ljIaYmzh+t8Tyg8BIonGabWG46sfj/vcTfvxXKeQKuASYSRgeXssWgFXAR6pk\nbmNmN8evil8A/jFunw38sUb5nN6mNH5gZn+O9v5Dg/J8DtgDeHXUXRmdlLR3gp+Y2U/N7M2EF/Z7\nge82kO/0HmXxgY81WZ6GCVnN7MlYnuqQ6abOd6YdzfgHtFlv4gi9Bwgjk44h1M0KldFIo/G55+ao\n5/0N9D4IfLnGc8/FCjkkzyEkPK489/wGf+5x2qNmvUm7npnZjYQQuspMnt8hfFB4UWxf/qVd2Y5T\nUP7AxOeied0yZDriHUotYCHnxMmE/Cz/IGlrBeYDW8XDtgHWWUg6uR9xWHaC6h/wbQkPXuskbU0Y\nolfJFbCRELawOI6ieCkTH4p+BOwp6b2SZkraXNKrJL1EIanwmwi5O+YTYkr3ISQoHmxQzLOBExWT\nwUraXuPT7m5LGPH0uKQtJP1r3OZMI0rkBy+N+78ADMbRdTsASHqFpIsSuv8M/DHuX9yo/JJ2lvT3\nCnlrNhCGgT/b8KI5PUUJfaAdkkmPtyG8uNca3QQwBlRPOe1MU5r0j3rMlLRl4q/ejIkXAp8E/g64\nFEDSloSwhw8x/tzzinjce1V/JrnvEnKc7RflbK2QVH9rYGvCKNfH4ijCY4Gmp2N3nCZJtZ4pzG67\nF/DruGlb4I9m9nRsFz5adcoa/DfcKTeXAJ+UtKuk2cDx3TZoOuEdSi1iZv9OmB3nC4SH6DWEnv8v\nEGbBOQ74kkLeif/J+LDrTSKq1s8njAp6iPDDf1PV/k8Qwg3+QMiZcSHhpQMze4rw9eFo4OH4dwoh\nr9F7gdvM7L/M7JHKH3AGIffLpNl6oswfRBnL4rDYOxifXv1a4CfAfYRwjKdpf8i6U2JK4gdbxP0/\nJySgfBPwO0mPAWcBP46yhwgvOY9FvddMYesMwqimh+I5byAxbN2ZHpTJBxrobMRfK8z480fC7/0s\nJiY3Tso6F3hZDBe6ogUdTo8yhX9MSu6e4HjCs0Xl778qIquOq+Qk+y+Ls3cSJhN5Grig6rnnXMLv\n9iHUwMx+ReiE+pZCqP99xJFOcTTU1wgjndYQwpBubOISOE41dX9/Yz37Os3Xs1qyvpX4zV4K/IuZ\nXRf3/Q/gPXHf2UzMOQbhQ9r58Te8XjJjH4nqFJFKvTyHMDnJ7cCtNJ6Mx0kZmbX/+yDpXMIQ+DEz\n2yduO40wbP8Z4HfAsWb2x7jvi8AHCF/zP5X4oXOaRNIpwBwzO7bbtjgBSZ8iJPUE+K6ZnRF7xy8m\nDLlcCbwrfrVF0hnAocCfgEELCXSdFnA/KA7eDnQH94FiUcsPEvv+B2F08PMrnR/eDjhlpc5vfsvP\nPJIWEkKvjBBy6DnanJ4ljqD834QPPTOBy8zsJEn9hA6+2YTZXd9nYSIlxykNnY5QWsL4dMcVrgNe\nZmbzCTMUfBEgjoh5F2EI5qGEodAevzsFMXxt77i8H/BBQuiDUwAkvYxwT15FGGL/NkkvBk4Arjez\nlwA/Y9wPDiXEsO9BSNJ7VlcMLxnuB4XG24EccB8oPLX8AElzgYNIJAj1dsApObXqekvPPLED6l+B\nVwMLgEXyKemdHsbCjJIHmtkrCe8Lh0paAJwKfC36znpC2+44paKjDqWY9G1d1bbrE7MC3Mx4EtHD\ngWVm9qyZrcSnXW2WbYErJD1F6MH+d5s85bPTPfYCbrYwlfdzhK8P7yDU98q03ksZT056BHGmJDO7\nBdhe0hycqXA/KCjeDuSG+0CBqeUHkdOBz1dt83bAKS116voRtPbM8xbgOjN7wsIU39dRJyTRcXoF\nC7MEQ0hNMpMwOu9AxsOzlhLeIRynVMzMWP4HCFO2Qph2Phk3/1Dc5jTAzG4lzEDlFJNfA/8Wv7Y9\nQ5h15lZCKMoYgJmtkbRzPH5XJuadqvjBWH4mlw/3g1Lj7UAKuA+UD0l/DzxoZndWDcTzdsDpNXZu\n8plnddxWzwccp2eJEwP8CngR8G1CSoD1iQ9wq4FdumSe47RNZh1Kkv4F2GBmlReJWmENnuDNKTVm\ndo+kU4HrgSeBURrP+OV+4EwbvB1wpiuSnkfID3Nwrd01trkfOL1IdV0Xoa67DzjTjthx9EpJ2wFX\nEqIcJh2Wr1WO0zmZdCjFRHuHEWZWqrAa2C2xPpcwE031ue5ITuqYWWZ5WsxsCSGnAJK+TPjqNiZp\njpmNSeoDHomHux84XSNLP6imk3Ygnu8+4KROjj7wIqAfuD3mCZsL3BbzX7kfOF0lAz9o9ZlnNTBQ\ntX24lmD3AScL8nweqqH7j5JuAPYHZkmaETubvC1wciNNH+g0KTeErwybDJJ0CGFa2MNjArIKVwFH\nS9pC0guBFwO/qCXQzFL5W7RoUeFkuU35y8oaSTvF/y8gxD5fFOv7YDxkEPhhXL4KeH88fn/CUNea\nYQ5FuoZFleU2Nf+XMam3A5BeW5DH9XUdxZZvlsuz+CY/MLNfm1mfme1uZi8kvEC/0sI09k23A1FW\nqa99L9TPXtKRdl2PtPrMcy1wsKTtY8qAg+O2rvhAEe9Tr9hVRJu6gaTnVxLPxxGsBwF3ETpSj4yH\nLWTcd2rwFJtvvlWL5TQqg57auR/jMib7YT1ZtfS2UkdaPX/ieYtaPq+e3mav1VT2TiWnlfImZTW6\nN3n7QEcjlCRdSPjCsKOkVYS7eCJhSsSfxpwBN5vZcWZ2l6RLCM6zATjOMvbqlStXFk6W29QdWRlz\nuaQdGK/XT8QwuEskfQBYRWwszOwaSYdJ+i1hCt1Mp/wu6v3o5bpbRJuypOjtQCPyuL6uo335fX39\njI09wJw581izJlv9nVLLDyyMXq2wKcwn73ZgKrpxb11H93R0Sp3f/FOAS5t95jGzdZK+RMg5acBJ\nFpJzl4Ki3qci2lVEm7rEXwNLYx6lGcDF0T/uBpZFf1gOnJulEUV8Rk23jqQnq4jlK6o/ddShZGbv\nrrF5SY1tleO/Cny1E52OUzTM7A01tq0lfH2odfzHMzfKcXLC2wEnK8bGHgCMsbGuRSY0TR0/SO7f\nvWrd2wGnlDSo6y0985jZecB56VjlOMXGzO4E9q2xfQWwoFk5GzZspDLJw4wZW7Fx49MNl8fZctN5\nF1xwKRs3Pt32+cn9tWRNdV4tXUuXLm1Jby1Ztc5rpoz19C5dunSCXVOfU1svbMbSpUtbsrv+seOy\nikTWs7x1lcHBwcLJcpu6I2u6UtT70ct1t4g2ObXJ4/q6jmLId+rTC/fWdTh5UtT7VES7imhTufkL\nlTCnjRs1xXLyY8wzcdsIGzceCFgT55OQ8UyN/bVl1dY7ft5kXcPAwBR217Zxst7BCec1U8b6eifa\nNfU1qq13fC6CRnY3d72SsmrPbdAd1MVog5pI6mYEhNODSMK6mHyvHdwPnLQpmx+4DzjhK114yEuj\nLpTNB8D9wEmfsvmB+4CTNmXzAagk5X4K2Ib6nQvVy53ud1llkdXqb2TaPpBGUu7CMjIykrqsvr5+\nJCGJvr7+QthUFDlFlpUlkj4j6deS7pD0/ZhwuF/SzZLulXSRpJnx2C0kLZN0v6Sfx0TemVHU+9HL\ndbeINjm1yeP6uo5iyHfq0wv31nU4eVLU+1REu4po0/RmpICy0pJTZFm9TU93KGVBJadDyOvwQLfN\ncbqMpF2ATwD7mtk+hDDSY4BTga+Z2UuA9cAH4ykfBNaa2R7AEHBa/lY7juM4juOUgxUrVrBixQr+\n/Oc/d9sUx3EcpwoPeWuR8SH4kNYwfCdbshzaGjuUfg7MB54ErgC+CXwf6DOzjXGq3EVmdqikn8Tl\nWyRtBqwxs51qyC20HxSFyixQQClmguomZRvi7T7geMhb9/1gqpn2yjQTnxMomx9Ism226efZZ//E\n3//9W7nkkrpzPjhOU5TNB8BD3lyWh7w5Ts9iZg8DXyNMk/sQ8ARwG7DezDbGw1YDu8blXYEH47nP\nAesl7ZCr0T2Ejxh0HKcISDpX0pikOxLbTpN0t6RRSZdL2i6x74sx9PluSW/ujtVTMz7T3pqa4f7j\n+/3318mOp55awV/+cg6PPrqu26Y4juM4VfR0h1JeuUxayatUxPwqRbQpbVlZIWkWcAQwD9gF2Bo4\ntMah9VLyJ7uaU6eo96OI97bX/cmZTK/kROkFHY3lb9lR7sKcWAK8pWrbdcDLzGw+cD/wRQBJfwO8\nC9iL0F6cqco8wV2guXtbmXmm9c6jXqifvaTD6Zyi3qci2lVEm6Y3IwWUlZacIsvqbWZ2crKkc4G3\nAWMxfwySZgMXE16wVwLvMrMn4r4zCA9PfwIGzWy0E/1FYXyUBIyNlWoEpdM5BwG/N7O1AJKuBF4L\nzJI0I45Smgs8HI9fDewGPBxD3rYzs5qf3AYHB+nv7wdg1qxZzJ8/n4GBAWC8gZ5qvUKzxzdaHx0d\n7ej85Pro6GjH9kyk8/KmWb601jstz/r16wFYuXIlWeJtgZMt49PoFrWNNbMbJc2r2nZ9YvVm4B/i\n8uHAMjN7Flgp6X5gP+CWXIx1HMdxckXSXOB8oA94DjjHzL4paRHwIeCReOiJZvaTLpnpOG3RUQ4l\nSa8nBHSen3iJOBV43MxOk3Q8MNvMTpB0KPBxM3urpAXAN8xs/xoyC503o1YOJc+rVGwyzqG0H3Au\n8GrCW88S4JfAG4ArzOxiSd8BbjezsyQdB7zczI6TdDTwdjM7uobcQvtBUXDfa56M/WDatQVO9iRz\nKKXh51nnzYgdSldXfKBq31XARWZ2kaRvAj83swvjvu8B15jZFTXO66ofTHUP0s5z5WRP2fLHhNwx\nBvyAgYHzGB7+QbdNckpON3xAUh8ht+qopG2AXxEiHI4CnjSzr09xvudQcll195c6h5KZ3QhUj644\nAlgal5fG9cr28+N5twDbS5rTiX7H6TZm9gvgMmA5cDvBu88BTgA+K+k+YAdCpxPx//PjF+lPx+Mc\np9R4W+A49ZH0L8AGM7uosqnGYd4b4ziO06OY2ZrKaGwzewq4m/H8qqXp4HWcWmSRQ2lnMxuD4DzA\nznH7pmTEkYcYd6RMyD6XyZa0mvagiPlVimhT2rKyxMxOMrO9zGwfM1toZhvMbIWZLTCzPc3sKDPb\nEI99xszeZWZ7mNn+ZrYyS9uKej+KeG973Z+6QGHagnr0Sk6UXtBR8rpeF0kLgcOAdyc2V0KfKyTD\noicxODjI4sWLWbx4MUNDQxOu1cjISMfrQ0NDE9Z32KFvU86quDVhTXJ58rZm5Kdtf3JbVvJr6cpC\nX1b3t1J/BgcHcTqnqL9XRbSriDZ1G0n9hNmhK2HOH4uTN3xP0vbZah8poKy05BRZVm/TUQ6lFunB\nL3KVvA7esew4jtMkPdgWOA4Q6vam+i3pEOALwBvM7JnEcVcB35d0OqEz9cXAL+oJPe+88+oqrORN\nS3N93boxJg6pTx4z8fjqbVnY08x65aW1W/rTWk/mSkxLfvW2pUuXkhWSPgN8ENgI3AkcS5iwZBkw\nmzAL7vvM7FlJWxBGq/4t8BhwlJmtysw4xykAMdztMuBTZvaUpDOBk83MJP0b8HWCDzlOaciiQ2lM\n0hwzG4vxopUkY01/kUsjGXGlEW3l+GbWAyOMP0CNTLJ/ZGSk4fmN9nerfEnbOpFXhPLlmYy46FQ/\nSPairLRIy6Zev04tUJi2oNF6hbTbijzXs2jrsvxtb0X+OBPXi9YWSLqQ8GCwo6RVwCLgRGAL4Kdx\ntM/NZnacmd0l6RLgLmADcFw3EyVl/TuTx++Y6+g+knYBPgG81Mz+r6SLgWMII/S+ZmaXxpySHwTO\njv/Xmtkeko4CTgMm5ZQsIkW9T0W0q4g2dQtJMwmdSReY2Q8BzOzRxCHfBa6uL+HD8f9iYFaN/SM0\nej/t7v5G6wMtHl9rW2V5YIr91ecPNNjfjP5G53eyv7X1qZ6JhoaGGB0d3fRMnTYdJeWGTcP2rjaz\nveP6qYQG4lRJJwCzYiLWw4CPxUSs+wNDZUzEWp0EOM2EoU42ZJyMeE/CTFaVirA78P8BF9DBDFdF\n94Oi4Em5myeHhMT9TKO2wMmesiXlzoJu+EErzzmelLt8ZOUHsUPp54RQnieBK4BvAt8nJCPeGH/z\nF5nZoZJ+EpdvibPerjGznWrI9aTcTqp0qy2QdD7wmJl9NrGtL6YFqIzwe7WZvbvGuZ6U22XV3V/q\npNzxi9xNwJ6SVkk6FjgFOFjSvcCb4jpmdg2wQtJvCV8mjuvI8iaY/IUzD1lbbso90NfXXxCb8pFT\nZFlZYWb3mdkrzWxfwrDtPwFXEpJtX29mLwF+BnwRIM5w9SIz2wP4CHBWlvYV9X4U8d72uj9lSdHb\ngnrkcX1dRzHkO/Vp/dqPP+dkI791XEf3MbOHga8Bqwi58Z4ghLitN7ON8bDVjOfM25RPz8yeA9ZL\n2iFXo9ukqPepiHYV0aZuIOl1wHuAN0paLum2GBZ9mqQ7JI0CBwCfydaSkQLKSktOkWX1Nh2FvNXq\nQY0cVOf4j3eirxxU8irB2FipPoQ6nXMQ8Dsze1DSEYSGAcIMV8OETqYJM1xJ2r4SFtQVix0nBbwt\ncJzpxPhzjueQdCpImkV4xplH6Ey6lDAau5p6lSf56b2KQeAvrFhxD0NDQ5mEP7eaWqEI4c5lWB8d\nHe26PUVIhWFm/w1sVmPXT/K2xXHSpuOQt7TJc3h3X18/Y2MPMGfOPNasWdnUOc0MBfcQnGKR19BW\nSecCt5rZdyStM7PZiX2Pm9mOkq4GvmpmN8Xt1wNfMLPbqmR5uE8TeMhbvTybogAAIABJREFU85Qt\n3Md9wPGQt+KGvKUx5N7pDhmGvP0j8BYz+1Bcfx/wGuAfaS7k7Q9mtnMNuR7y5qRKWdsCD3lzWUUN\nectzlrfCMTb2AGCZjySqdFwBLXVeOeVB0ubA4cDxcVM9z65V2Woem0dC4rKvjzNxvSj2Tfcvco7j\nOM60YRWwv6S/IgxjexPwS2BH4EhCXsmFwA/j8VfF9Vvi/p/lbbDjOI6TAmZWqL9gUjoMDw833A8Y\nhP/Nyho/Z+L5k7eNy621LQ2mKl/ecooqK17zrOvt4cBPEut3A3Pich9wd1w+izA1buW4eyrHVclL\npexFvB9pykrTt3rdn/LwgzT/0vytrEea19d1pC+/XhvbLmXzAcvRD+bMmRevM5Ou91TPOVPdl16o\nn72kI0s/IMxueDdwByHcf3PghYROo/sInUqbx2O3BC4B7gduBvrryIx17EobGDgi8+vTDHncp3Yo\nol1FtKmsbQE81cRv8VS/28Mt/K7nJWu4xfamjLJa3d+arG77QEdJuR3H2cQxwEWJ9asIQf/E/8kv\ncu8HiEO/15vnT3Icxyk1ks6VNCbpjsS22ZKuk3SvpGslbZ/Yd4ak+yWNSprfHavHqYzYpu7gWseZ\nGjM7ycz2MrN9zGyhmW0wsxVmtsDM9jSzo8xsQzz2GTN7l5ntYWb7m9nKLpvvOI7jtMG0zqHUznS3\n7eRQ8jwv3SWH6dKfRxjqvbuZPRm37UD48rZb3Hekma2P+74FHEKYEe5Yq8qfFI/JzQ/KjPtW85Qt\nZ4D7gFOmHEqSXk9IcHG+me0Tt50KPG5mp0k6HphtZifE2T4/bmZvlbQA+IaZ7V9HbqZ+kAzJr/cc\nM9VzTqvPUU53KWNbEOqY51By0qFsPgCeQ8llpdv+eg4lxykYZvZnYKeqbWvxGa4cx3GmBWZ2o6R5\nVZsLP9vn+MikUr1bOY7jOI5TEHo65G1y4t5iyEqLtGwq6nUq4jUvG0W9H0W8t73uT85k8ri+rqMY\n8rvEzpVOIjNbA1RmsNoVeDBx3ENxW5cYyVZ6D9TPXtLhdE5R71MR7SqiTdObkQLKSktOkWX1NpmN\nUJL0GeCDwEbgTuBYYBdgGTAbuA14n5k9m5UNjpMHMS/G94CXE+r7BxhPPjkPWAm8y8yeiMefARxK\nCHkbNLPRLpjtOJnj7YDj1KTp2T4h2xk/A8kmaKSGBSNN7N8yhijC7NlzWLt2zSZ9o6Ojuc34WYQZ\nNjtZHx0dTV2+z/jpON1H0lzCyNQ+4Dngu2Z2hqTZ1HlfcJyykEkOJUm7ADcCLzWz/yvpYuAa4DDg\nMjO7VNJ3gFEzO7vqXM+h5KRKDjmUzgNuMLMlkmYCWwMn0kHuDM8f0xzuW82Td86ATtqBeL77wDSn\nTDmUovx5wNWJHEp3AwNmNiapDxg2s70knRWXL47H3QMcUCvkLWs/qHeNO80H4b5bXMqWP8ZzKDlp\n0w0fiG1An5mNStoG+BUh/PlYarwv1Djfcyi5rLr7u51DKcuQt82AreML9vOAh4EDgcvj/qXAOzLU\n7ziZI2lb4O/MbAmAmT0bvywcQajjxP9HxOUJuTOA7SXNyddqx8kNbwec6YSYOPrIZ/t0HMdxMLM1\nlYgEM3sKuBuYy+T3hbd3x0LHaZ9MOpTM7GHga4TZrR4CniCENqw3s43xsNWE0IdJnHzyyZx88snc\nddddHdnR67lMej3nSxGveQ12Bx6TtETSbZLOkbQVsCnBajdzZxT1fhTx3va6P+VNp+1AHvRKTpRe\n0FHmug4g6ULgJmBPSaskHQucAhws6V7gTXEdM7sGWCHpt8DZwHFdMjsykq30HqifvaTD6Zyi3qci\n2lVEm7qNpH5gPnAzk98Xdqp/ZhqMFFBWWnKKLKu3ySSHkqRZhB7XeYSXiEsJOWOqqTk+a9GiZ4Ff\nsmLFGpYsOTMLE3NiPKeA07PMBPYFPmZmt0o6nTCLT72xhy3lznCcstJpO+A4ZcLM3l1nl8/26TiO\n4wAQw90uAz5lZk+FUDbHKTdZJeU+CPh9nDodSVcCrwVmSZoRv07PJYQ/1GAVMIPly3/J0NBQ2wko\nBwYGmkhIOTJBc3MJLEeA2udP3P8MYZbgAyfpSCPhYjPlyzuhZRHKl3MCytXAg2Z2a1y/nNChNFaZ\nBjrGTT+SOH63xPl1/SDLRKy9Uk8SFqViXxrlS9MvO1kvQCLWDtuBfHygQhHuWbvredS5yra85Y8z\ncb0kPlBI+vr6GRt7ILFlIFN9yXvsOrqvw+mcot6nItpVRJu6RQz/vwy4wMwqIdD13hdq8OH4fzEw\nq8b+EZp7P+3G/kbrAy0eX2tbZXlgiv3V5w802N+M/kbnd7K/tfWpnomGhoYYHR3d9EydNlkl5d4P\nOBd4NaFXZQnwS+ANwBVmdnFMxnq7mZ1VdW5Mvncmg4O/znSEUh5JuT1ZZffJIRHrDcCHzOw+SYuA\nreKutWZ2qqQTgFkxKfdhhNFMb425M4Y8KXf7eFLu5ulCUu6224F4vvvANKdsSbmzIAs/SOM5xp9z\nykvZ/MCTcjtp0y0fkHQ+8JiZfTax7VTG3xc8KbfLaktWTyblNrNfEHpglwO3E0p8DmHkxmcl3Qfs\nQHjZyIzJXziLISst0rKpqNepiNe8Dp8Evi9pFHgF8BXgVAqQO6Oo96OI97bX/SlvitIONCKP6+s6\npqavrx9JSKKvrz8zPU49RrKVXvL62Ws6skTS9pIulXS3pN9IWiBptqTrJN0r6VpJ2yeOP0PS/ZJG\nJc3vpu2tUNT7VES7imhTN5D0OuA9wBslLY95Vw9h4vvCQcT3hewYKaCstOQUWVZvk1XIG2Z2EnBS\n1eYVwIKsdDpONzCz2wmjMKrx3BnOtMbbAacZQvjVMDDA2Nhfee5Bxykv3wCuMbMjY3jP1sCJwPWJ\nadG/CJwg6VDgRWa2h6QFwFnApBHbjtMLmNl/E2a+rUXN9wXHKQuZhLx1goe8OWlTtuHd4OE+zeIh\nb81TNj9wH5g+1G5Xk8vlDnmT9Bngg8BG4E7gWMLshsuA2YTZD99nZs/WONdD3pxUycoPJG0LjJrZ\ni6q23wMckMgRM2xme0k6Ky5fHI+7GxiozHiVON9D3pxUKdvzEHjIm8uahiFvvUZyOL7jOI7jOE4z\nSNoF+ASwr5ntQxgZfgwhzOFrZvYSYD2hw8lxyszuwGOSlsRwnnMkbcXkadF3jsfvCjyYOP+huM1x\nHMcpET3doZRW3O74cPxifXHr9ZwvZYm7lrRS0u0xJvoXcVshcgYU9X4U8d72uj85k+mVnCi9oSNr\n+V1lM2DrGAL0PMLMhgcSZgUFWAq8o0u24TmUppeODJkJ7At828z2Bf5EyJlX7+G51lfaOscOAstY\nseIehoaGJlynkZGR3NeHhoa6qr/eemW5KPYAhblfixcvZvHixQwODjK9GSmgrLTkFFlWb5NZDiXH\nmUZsJAzTXpfYdgKeM8BxHGdaY2YPS/oasAp4GriOEOK23sw2xsNWE0LgHKfMrAYeNLNb4/rlhGeh\netOirwZ2S5w/l9DZWoPzgB/wwhf+hU9/+tMT9lRPS+/rxVqfP3/+hG3dsKd629KlS3EcJz08h1IT\nsYet5nfw3ALFIutYaUkrgFeZ2eOJbR3nDPB6MjWeQ6l5ypYzwH1g+tDLOZQkzSK8WB8JPAFcClwB\n/KuZ7RmPmQv82MxeUeN8z6HkpEqWfiDpBuBDZnafpEXAVnFXZVr0E4BZZnaCpMOAj5nZWyXtDwyZ\n2aQPbJ5DyUmbsj0PgedQclnFzqHkI5Qcp3MMuDb82HO2mX2PqpwBkqbKGTChQ8lxHKeb9PX1x3Bv\nmDNnHmvWrOyuQeXlIOD3ZrYWQNKVwGuBWZJmxFFKDUZmwODgIP39/QDMmjVrwhf/SmhHM+vJezqR\nkTrLne9vxT5fz2Z9dHSU9evXA7By5Uoy5pPA9yVtDvyekIB+M+ASSR8gjNQ7EsDMrpF0mKTfEsLj\njs3aOMdxHCd9enqE0sjIyKRhjlW6aH6E0jAwQJG+3E1VvrzlFFVWDiOU+mKn0U6EcIZPAj80sx0S\nxzxuZjtK+hHwFTO7KW6/Hvi8mS2vkmkLFy7s+CWisi2th9LKUPNO5Q0NDbX9UpRcP/DAAwm+NQIc\nuMm3ulm+6mvfibxqmZ28RCxdurRUX+TyGKGU5u9Vr+moHsUyPDycWTlabWNLNkJpP+Bc4NXAM8AS\n4JfAG4ArzOxiSd8Bbjezs2qcn5ofJJ95Jl7jYUJKp2xGKJXVB3pVR9lGZxRxhFIe96kdimhXEW0q\nmw9AmiOURhj/ve90lExasqrb/16U5SOU2iImIf4e8HJCjpkPAPcBFwPzgJXAu8zsiaxsqEX9L3SO\n0x5x1hLM7FFJPwD2I4WcAeedd15dndWNc7316o6GVs/Paj3tmPrwg5+efUVZ7+T+VW/rRs6AorYD\njpMXZvYLSZcBy4EN8f85wDXAMklfitvO7Z6VjuM4TpZIOhd4GzAWZ/wkhoV+iPF3hBPN7CddMtFx\n2iazEUqSzgNuMLMlcWaTrYETgccTiYpnm9kJVeelNkKpjl202rPnOZTKTcb5ArYCZpjZU5K2JoxQ\nOgl4Ex3mDPB6MjWeQ6l5ujQ64zzaaAfiue4DXSRP3+rlHEqdks8IpTS+pvpvcVkomx8UcYRSUfFQ\n5ebo0vPQ6wlDjM6v6lB60sy+3sT5KY1QamW/yyqLrJ4coSRpW+DvzGwQwMyeBZ6QdARwQDxsKWGs\n3KQXCccpEXOAK2P+pJnA983sOkm34jkDnGmMtwOO4ziOkx+hM8nicmn6DKcFZnajpHk1dvmNckrP\njIzk7g48JmmJpNsknRNHckxIVAzslJF+YGIekhSkpSgrHdIqX5rXqaiyssLMVpjZfDN7pZntbWan\nxO1rzewgM3uJmR1sZusT53zczF5sZq8ws9uytK+o96OI97bX/akLFKIdaEQe17fbOvr6+pGEJPr6\n+jPRkQ5Zy3fqM5Kt9GngZ2XS4XSO36fm8Ws1JR+TNCrpezFNQMaMFFBWWnKKLKu3yapDaSawL/Bt\nM9uXMBLjBMbHaDmO4zi9jbcDBWD8i7V5/kDHcRzHKQ5nAi8ys/nAGmDK0DfHKSJZJeVeDTxoZrfG\n9csJLxL1EhVXMQg8yvLlj3Q0G1St2ZECI4wn8R2ZoLn+bEvNnd/M/uSMB53MJtXu7E+11pO2dSKv\nCOXLeYpcACTNAG4FVpvZ4ZL6gWXAbOA24H1m9qykLYDzgb8FHgOOMrNVWdk1OXl178lKi7Rs6vXr\n1AIdtgPpTZfeaL1CWvK6sd7otzJRwpbKO37OwIRzsirPZBs7s79bbUE5GchWeg6/Y67DyRO/T83j\n16o+ZvZoYvW7wNWNz/hw/L8YmFVj/widvJ9mu7/R+kCLx9faVlkemGJ/9fkDDfY3o7/R+Z3sb219\nqmeioaEhRkdHNz1Tp02WSblvAD5kZvfFpGNbxV2VRMWelNvJhTyS70n6DKGTaLvYoXQxcJmZXRqn\nhB41s7MlfRTY28yOk3QU8A4zO7qGPE9I3ASelLt5upSEsq12IJ7rPpAC7fqIJ+UuBp6U20mbsvmB\nJ+VuHn8mao5u+UD82Hy1me0d1/sqM0XH94hXm9m765zrSbldVt393U7KnVXIG8Ange9LGgVeAXwF\nOBU4WNK9wEHAKRnqTzluN01Z6ZBW+dK8TkWVlSWS5gKHEaZHr/BGwogMCImH3x6Xj4jrAJcRZoPL\njKLejyLe2173py7R9XagEXlcX9fRtIaM5XcPSdtLulTS3ZJ+I2mBpNmSrpN0r6Rr88mdUY+RbKX3\nRP3sHR1O5/h9ah6/VgFJFwI3AXtKWiXpWOA0SXfEZ6QDgM9kb8lIAWWlJafIsnqbrELeMLPbgVfX\n2HVQVjobkZxK03FS5nTg88D2AJJ2BNaZ2ca4fzWwa1zeFXgQwMyek7Re0g5mtjZnmx0nc4rWDjhO\nl/gGcI2ZHSlpJrA1cCJwvZmdFkfqfZGeme1wyzhSAmbM2IqNG5/2Kcwdx5nW1Bl5tCR3QxwnAzIL\neWuXrELephrq7SFvvUuWQ1slvRU41Mw+LmkA+CzwAeDnZrZHPGYu8GMze4WkXwNvNrOH477fEoa4\nrquS6+E+TeDDu5unjGEOfj87x0PeJurpQtjntoSQ5xdVbb8HOCCRS2zEzF5a4/xShrylMSTfyYYy\ntgUe8tYc/kzUHGXzAfCQN5dV7JC3zEYoOc404XXA4ZIOA54HbAsMAdtLmhFHKc0FHo7HrwZ2Ax6W\ntBkh59K6GnJzSUhc9vVxJq4Xxb5urntCYqc3GR/9UpJRL7sDj0laQgj7vBX4NDDHzMYAzGyNpJ26\naKPjpEZRJylxHMdxMsLMCvUHGJjBt21w8KPWCcPDw5uWx+VW/k/c1ohw3HDD8ydvq78/LZLlK4Kc\nosqK1zyPunsAcFVcvpjwcATwHeCf4/JxwJlx+WhgWR1ZqZS9iPcjTVlp+lav+1NefpDWX5q/lfVI\n8/oWVUe7PlJ9Xpbl6KSNbVWP5V+P/xbYALwqrp8OnExITJ887vE659vChQtt0aJFtmjRIjv99NMn\n3Ivh4eGm18evc/X1PD2xrdb+4Q73n77pXrVibyvrlW1Zya+lKwt9ndzfeuunn376pvqzcOHCzP2A\nkAfmP6qeh46My98BPhKXP5p4Hjqq0fNQqEtX2sDAEVYE8vhdb4es3jc6oYjXqmzPQ7bJD55q4p0z\nuVxr2/AU+7sha7jpNr+8slrd35qsbvuAj1BynGw4AVgm6UvAcuDcuP1c4AJJ9wOPEzqVHMdxnN5k\nNfCgmd0a1y8ntA9jkubYeMjbI/UEnHfeeXWFV0/JPdX6xCmVK8yfYv9Ah/vH5bdqb7Pr1aM0s9aX\n1XpyJHJa8qu3LV26lKxITFLyZUIKAAiTlBxTUQ8sAs4mTFKyKG6/DPhWZoY5juM4meE5lJqIPcw6\nh1IyYXhJhvCXirLGShfJN4taRz1fQPOUzQ+K5gNFoOKHrfhgUXMoTZ4oo702thW7ujhV9A3Ah8zs\nPkmLgK3irrVmdmpMyj3bzCYl5fYcSk7aZJxX8lJCZ9L2wOeAYwk5JfeM++cSEtTvI+lO4C02nlPy\nfmCBVU1S4jmUmsefiZqjbM9D4DmUXFa67avnUMqRvGaGCzosLpfq982ZJngddZzuU/HDXvDB5G9K\neCjqaT4JfF/S5sDvCS/ZmwGXSPoAsAo4sov2OU7HxElKxsxsNE5SAsG5qx28nuMn35SqGAT+wooV\n9zA0NOQ5JRuse07JyeueU9JxMqYbcaCN/tgUD9j9HEoTz6mOo2w/TrK+ntbiINOKS04zvrmIskg5\nTjSPv1bqQSPSvIZJH+iUdO1q3XeytKmIPmBWPj9IywcakUduh7TvYa263khHuz5SfV7a12pyW9le\nG9uqTitA3W7lL00/qH89h1t+jmlt/3Aq7UYjyubL3dSRlR8AXyF0jv4e+ANhOMV/EMI5Z8Rj9gf+\nMy7/hDAiCUIH6yN15Ma65DmUpiLNZ6K0KOK1Kmtb4DmUyiyr1f2tyeq2D8wgIyTNkHSbpKvier+k\nmyXdK+kiST46yik9kraUdIuk5ZLujOEMdeu7pC0kLZN0v6SfS3pBd0vgONnibYHjOE7vY2YnmtkL\nzGx3Qn7In5nZe4FhxkfgLQR+GJeviuvE/T/L017HyRNJ50oak3RHYttsSdfF56FrJW3fTRsdp10y\ny6Ek6TOE2U22szBt6MXAZWZ2qaTvAKNmdnaN8wyMIuRQanzOxPNb2V+ty2OesyXrWGlJW5nZ05I2\nA/4b+BQhGeWk+i7po8DeZnacpKOAd5jZpMTcRcsfU9Q6WlS7ikgX88e03Rb4/ZxIsk1q9toUNYfS\n1LkJk8vlzqHUCZ5DyUmbPPxA0gHA5+Jv/guBZcBswiQl7zWzDZK2BC4AXkmcpMTMVtaQFd8LPIfS\nVPgzUXN0oy2Q9HrCqL3zzWyfuO1UwgyfpzXKpRePNc+h5LLSal/T9oFMRiglZnn4XmLzGwmzm0CY\n5eEdWeh2nLwxs6fj4paEvGQGHMjE+v72uHxEXIcwq8mbcjLTcXLH2wLHcZzph5ndYGaHx+UVZrbA\nzPY0s6PMbEPc/oyZvcvM9jCz/Wt1JjlOr2BmNwLrqjYn3wmS7wqOUyqyCnk7Hfg8sQtN0o7AOjPb\nGPevBnbJSPcmKonZUpKWoqx0SKt8aV6nosrKkhjSsxxYA/wU+B2wvqq+7xqXdwUeBDCz54D1knbI\nyrai+kAR722v+1OXKERbUI88rq/raFpDxvKd+oyUXH6v+EBP/OZPC/w+NY9fq4bsbGZjAGa2Btgp\ne5UjBZSVlpwiy+ptUu9QSs7yAJtmcGg0y8O0pK+vH0lxeKpTZsxso5m9EpgL7AfsVeuw+L+FWU0c\np7x4W+A443guMcdxHMdxepEsHmBeBxwu6TDgecC2wBCwvaQZ8cv0XODh+iIGgUdZvvyRjqYHHRgY\nqNMzPgIMJJY339SxM3v2HK64YlmN6Tcr67XOn0p+1d6RkcSUySOE6KiJ+1stX6fTayZ1dyKvFfuz\nKl+3pgc1sz9KuoEwi8msOvV9NbAb8HDMubSdmVUPgQVgcHCQ/v5+AGbNmtXVaXKrKUo9SViUin1p\nlC9Nvyz5NLkdtwV5+ECFItyzdu2trnN9ff2xjZlwRkvlHT9nYMI5jex75zuPZt26MWBiW5q0Z86c\neaxZs7Km/Ik2TrR3qvWC+kCSTwF3AdvF9VOBryVyiX0QmJRLLB8GcpC/5abnrIl1ICUNddoq1+Fk\ngd+n5vFr1ZAxSXPMbExSH2FGxAZ8OP5fDMyqsX+ETt5Ps93faH2gxeNrbassD0yxv/r8gQb7m9Hf\n6PxO9re2PtUz3dDQEKOjo5ueqdMms6TcMCkp38XAFWZ2cXx4ut3MzqpxTleSctdKYpdNUu6/Ap6J\ny50nGXWmJsvke5KeD2wwsyckPQ+4FjiFMHPJpPou6Tjg5TEp99HA2z0pd/sU1a4i0s2ExO22BX4/\nJzJe38fbkVov540SXje6ppM7olrzrXr+OHH71G1gryXljrnElgBfBj4b/eBRYI6ZbZS0P7DYzA6p\ncW7PJOX23+piULbk9J6Uu3n8mag5utgW9ANXm9necf1UYK2ZnepJuV1WJ7J6Mil3HU4APivpPmAH\n4NysFU4exdAMW9YJRWtHVi2eIa0Ij/bKl52cIsvKkL8GhiWNArcA15rZNdSv7+cCz5d0P/DpeFxm\npHsN05NVxHvb6/5UIHJvC+qRx/XNRkelHTHGxh7YpKMSSt0u4yNnJ7dR6ZWjXhuYlvxCUuhcYtlf\n+6zll9mX89fhdI7fp+bxaxWQdCFwE7CnpFWSjiV8gD5Y0r3AQXE9Y0YKKCstOUWW1dtkGrNvZjcA\nN8TlFcCCLPWlQ/JhtzQfcJwuYWZ3AvvW2F6zvpvZM8C7cjDNcQpDOduC8jHeIVSv7co27MiZTDKX\nmKSBymY8l5jjOM60wczeXWfXQbka4jgZkGnIWzsUIeQtn/3pDOF3pqZsw7uheOE+RR1GXVS7ikjZ\n/KBoPlAE6rVjrYdpTzxvsvypj21sXz27knLTGe5d9JA3SV8B3gs8y3gusR8Abwb6EiFvi8zs0Brn\n28KFC1PJJRbuwzAhb2Pyeia3jeSyv3LfipKbrJfXq3OJLV26tHRtgYe8NYc/EzVH2Z6HwEPeXFbj\n/d0OefMOJe9Q6nkyzqE0Fzgf6AOeA75rZmdImg1cDMwDVgLvMrMn4jlnAIcCfwIG4yxY1XIL9TJd\n1IeUotpVRMr2AFU0HygC3qHUnl1J+7rpA93OJVak5yD37e7RbT9oFe9Qah5/JmqOsvkAeIeSyyp2\nh1KeOZRyp6j5Y9Ki13O+lCTu+llCktW/AV4DfEzSSwl5Yq43s5cAPwO+CCDpUOBFZrYH8BFg0gtE\nmhTVB4p4b3vdn5zJFCknSiX/kST6+vpb0FAv719zJPU2IvtrlbX8wlGYXGKeQ2l66XA6x+9T8/i1\nKhojBZSVlpwiy+pterpDabrQ/ouI0ylmtqYywsjMngLuJkyFfgSwNB62NK4T/58fj7+FMIX6nFyN\ndhyncCQTYidnWpu6w+cZQkhRe1+iGyXidtLFzG4ws8Pj8gozW2Bme5rZUWa2odv2OY7jOI7jtEpP\nh7zVngK5+0O90w558yGujclraGucDnQEeDnwoJnNTux73Mx2lHQ18FUzuyluvx74gpndViWrUOE+\nRa1jRbWriJRtiHfRfCBr0g0Xaz7krVGYm4e8dR8PeXPSJis/yDIFgIe8NYc/EzVHWdsCD3lzWfX2\ne8hbhviXVycvJG0DXAZ8Ko5UqlfpajmvV1DHcRzHccpMoVMAOI7jONnQ0x1K6TLSbQMm0es5X8oS\ndy1pJqEz6QIz+2HcPFYJZZPUBzwSt68GdkucPhd4uJbcwcFBFi9ezOLFixkaGppwPUZGRppar2xr\n9vh664Ghts+vXm+3PPXtm2hrO/KGhtIpX/W170ReJ/dvaGhoU/0ZHBzEmczkOl5OHe21T1u2lHcp\n+3JkLd+pz0jJ5feOL+fze5EN0ykFQJnvU974tSoaIwWUlZacIsvqccws9T9CA/Iz4C7gTuCTcfts\n4DrgXv4fe2ceL0dV5v3vLwSCgCQBIRm2REQQUYkgy4soQdkdwQ0JqCS4iyjoDAZx3gnoyDajXBEV\nHRgIjOwou4C83OAgu8llDYuSSAIkQDYEHLY87x/ndG7dTi/V3VXd1X2f7+fTn646VfWcp+qcp85S\n5zwHbgRGV7jWwAx+ZtOmfc1aYVBWcjttWPnx/havT39NWvr7+yveZ6OU5GRBEWXFZ5JLXg/iOR/4\ncVnYqcD0uH0ccErcPgC4Lm7vCtxZRWYm957lM0zaQKtkq1fzeT8PnYpoA2b520H5r5VywDK0gVpk\n+XxbjaNaXk5XfpSXT/XKpEbPHWWAjRs3oY33kG15WdLD2mgDWfyx/xCTAAAgAElEQVSytIPaz77V\nfFLr+Orys6ZItlz0ONphB8BEwvS29YBlZceWxP9rgN0S4TcDO1SQFfPNb23y5INyfjrpaEc6NUPe\ndtYMRXxWRSsLoq3cB8wB7q5yjsGLGZTv/XWOd0JWf4PlTTfKavR4Y7I6bQO5+FCKIzLGm9lAnAr0\nJ8KXiCMIBclpkqYDY83suLJrDYwsfCil99vQSz6U1gZeYdy4CSxaNL8hOb1KnnOlJb0f+AOhwRyN\nm+OBu4FLCaORngQONrPl8Zozgf0IPgOOsDL/SfEcy8M2m6Wo8/KLplfSb1vRbLDdPgNaKQfi9YWy\ngWZoJD90wodSM+fWShP3oZQ9velDyespnSRvO4jv+1nAD8zsKklLzWyDxPGST8lrgZNsqE/JY81s\nTpk8g6nA/zJhwgDHHPNVJk2axOTJk4HBETC+PznaeD+BPTGzQunXqf2BgQGWL18OwPz585k5c2ah\nygJJTwA7mtmyGueY+1ByWc3UzSqRdTnQFqfckq4Ezoy/PcxscWxszDKzd5Sd6x1KLXUoNZ+5epXh\n3ojIgqJ13JQoml5F0ydJp+2gkXIgnl8oG2iGRvKDdyg1p2PRO5SacVRcdn0PdiiVtkPHEhSvA76X\nyfkj20jgWuB3ZvaTGDYXmJx45/eb2baSzorbl8TzHiGWDWUyY7vAnXLXo8h1kCLR6fpQOZLmAe8z\nsyU1zjHvUHJZzdTNKtF1TrnjyleTgDuBcaWCwswWARvlHX92zOq0AsDgEtLjx0/MbF5ylvObiypr\nuJLtM8xOVhHTNjudspJTzOfUDEUtB4rr36gX4gg+mtL7aWpUftfQkKPizjCrQ/JfIVSGrWxF3iZi\n6BH/Rj3wzv8v4OFSZ1LkamBa3J4GXJUIPxxA0q7A8vLOpKLSA+nUNvxZpcKAGyXdI+lL+UY1q4Cy\nspJTZFm9zcg8hZevfBV6V9MwDXiOOXOepa+vr6WhrZUzwyyg08crbceQWbOG3M8nPjGFZcuSZWw/\nixfvuep4Lflph4JmNbR0YGCgpevzGNrqOE7naL4cCI7pJ06cCMCYMWMyn+aQ5buv2n6S8nd78vx4\nBqWyY/Xrs94vD6t2fHLcHrqad/37fYUw9WIy4StaY/IbvZ+ilgWx03RR3H4xjtYoOSreI542k3BD\nq039dJxuIboA+AzwgKQ5hEby8QSfkpdK+jzRBQCAmV0v6QBJfya6AOiM5o7TcXYzs0WSNgJ+L2mu\nmd22+mlfjv8nAGMqiJlFK+3Pxtu3lcrtatdnvV8e1uzxyTWOD9Q5Xu/6Vo43tl+vTtrX18fAwMCq\nOnXW5DblrZFhr2XX2fCe8ra6b4F6U9oqH/eh5CVyHt59DvCPwGIze08MqzqVQdIZwP6EytM0iyui\nVJBbqOk+RR1GXTS9iqZPkg5N92mqHIjnFcoGmmG4T3lrh45Fn/JWFv9EQi3wXcACMxubOLbEzDas\ncE0PT3lbve4DXmfJm07bQaP4lLf0FLkOUiSKbAOSZgB/M7Mfl4WbT3lzWc3UzSrRTVPe6g17ncrg\nsFdnFWEI+OLFixqcLlBZThZDyZ2anAvsWxZWcSqDpP2Bt5nZ24GvAGe1U1HH6QBeDvQopenXpSnY\nTm3KR+oxWCN0AK+zOI4zHJG0TiwfkLQusA/wYGe1cpzGyKVDKTHs9UOS5kiaLWk/wrDXvSU9CuwF\nnJJH/Pkwq83xDVauquE+lDpPHJJavirDQYQpDMT/gxLh58fr7gJGSxqXp37uQyk97kMpW7qhHNhg\ng/Ft6BSZlZPczsYRGv2lDoBFLXz8qCy/l4gj9S4HLjCzUgfq4tL7P47Ue7ba9dOmTeOEE07ghBNO\noK+vb8h7YdasWQ3tV37OfXWO17u+Ffmzql5fqdOy2v2Vwhp9Ho3sl8eVR3ytpm+l/b6+vlX5Z9q0\naTit081lc7vxZ1WXccBtcZroncA1ZnZTftHNKqCsrOQUWVZvk4sPJTP7I7BGlcN75RHn8GMUe+65\nZ6eVcCqzcdLpsKSNY/imwILEeU/FsK5wQuk4jdAN5UDwTRc67RcvDh0i48dPXDVCwqfepKX0AaSQ\nMwiKQK2ReqdSZ6TeeeedV1XwUB9c9fcH/TUkmVTn+OQWj9eSX2l/VKKDcqh9Vru/cn8R5ce7ZT/p\nJy4r+eVhM2fOxHGcYmBm8xj6knScriM3H0rN4j6U8jletHRuJ3nPlZY0gfBFoeRDaamZbZA4vsTM\nNpR0LXCSmd0ew28GjjWzORVkFsp/TFHn5RdNr6Lpk6TIPgMq0Q4bqJReWaZhL/tQak6v7M8tug+l\nOFLvD8ADDA47Ph64G7gU2JzoqNjMlle4fpj4UPJ6TLvoxrIg5AP3oVSPItdBikS32QCU7MB9KLms\n2nWztGRtA7mu8tYJkl+XHadDLJY0LuF0uDSVYSGh8VBiM+DpakLyXuGqkf3ALMpXoOrkan5DGbrv\n+hRjhSunPl5m9TadHqnn+ctxHMdxnFwxs0L9AAMz+JlNm/Y1a5TB66ttpw0rP97f4vVZXNO8TrXo\n7+9v+Dl3k6x4/3nm2YnAA4n9U4Hpcfs44JS4fQBwXdzeFbizhkwbP/7ttumm29i9997b9L1n+QyT\n+a1VstUrXT5vh05FfU5m+dtB1r8snl89huafUXG/9Tw1btyEhKza+aHeOztd+VBeFtQrP5o5t7/s\nGbUiK809pJPbaHpbAfJ2I79W7SD9s8+iTlIr77QusxZZvit7PY5us4PBfPBbmzz5oHweSoO0I52a\nIcs6UVYU8Vl1mw3YKjt4MYPyvb/O8U7I6m+wbOhGWY0eb0xWp20gz1XeHKfnkXQhcDuwtaQnJR1B\ncDJccjr84biPmV0PzJP0Z+CXwJG1ZC9adC3Llr2Dhx56KNd7cBwHBv0AVaaRVc0GHVb3GvUXi3Ac\nx3Ecx3GGDz3nQ6myX4fkdnf6Dmj1eNHSuZ1071xpY731DudnP9uLww8/vNP6UMT8VDS9iqZPkm6z\ng074UKr17mzOH1L9ayqfuzah86ZE1uVDXue2P95G8ki32QC0bge95EuySO/Tbqbb7MB9KKWnyHWQ\nItFtNgC4DyWXVfN4o7aetQ34CCXHcRzHaSPJ0U6V8ZFAjlONkv3UGynoOI7jOE7+eIdSamZ1WoEK\nzEp53qiala/VHQo3T1FlDVeyfYbZySpi2manU1ZyivmcHCi9U9dYY91VHUPJ7aHMWu3qwSlxWXUY\nrR5H9uQdR97yhw/1OyzLmZWnOhnJH7Xqnkr2k3Q23o53Za/E4bSOp1N6/FkVjVkFlJWVnCLL6m3a\n3qEkaT9Jj0h6TNL0dsffPAOdVqACaXUKX7urrfQyMJDdvRVVVpFopw1k+wx7O22z06m3n1NWtNMO\nGvF/NJRRVRrm4Z26cuXLlDqGkttDaUca9kIcvZvXq5GXDTTeYdkNaVt71F473pW9EkfR6MZ2wXBM\np2bxZ1Wf9tpAEdsFRdQpa1m9TVs7lCSNAM4E9gW2Aw6V9I526tA8yzutQAUa1WlUxUZVaWnxJM02\nwCrJapYsZRWFdttAts+wt9M2O516+zllQbvsoPQeSzawG1tCPYupZ+1Iw16IozfzejWKVR/q/rTN\nsh7TSBxZ06vv/GoUyw7SM9zSqRX8WdWm/TZQxHZBEXXKWlZv0+4RSjsDj5vZX83sNeBi4KAsBJcq\nDk4tBhtHixcvWlXROvHEH65W4Wq+AebUITcbcJwuIpUdPPfcczz33HO88cYbNYVVazj27mprTg/Q\nclnw0EMPceCBh/HRjx7GZz/7ZV588cVcFC0ugx/J/uM/+laFtt6R7LQRrxM5wx23AafraXeH0qbA\ngsT+whhWxvXAgw0Jzr/hMD9H2c0yv4Vrk1/eX6e8k6kS1RptSQeZ8+fPHxKW9CtS6QthLZknnnhi\nLzrdTGkDANfz+usLW4qslB7ZkJ2sbPXKhux0ykpOMZ9TRqSyg4033piNN96Yk046bVVY8p1Rer80\n1nCsNo0tL+a3Id75dc8ofhx5yy8cDZQFlbnxxhu57rrZXHvtCC699DImTnxHk/lrfhPXFEH+YD3m\npZf+tpqPpUq0MmqpHe/jHn7nV6OBdsGf2qNRCoZhOjVNUZ5V477l2kYDZcGNGUQ3PwMZWcvKSk6R\nZfU2aueSkpI+BexjZl+O+58FdjKzoxPn+OdkJ3OKsjxoGhuI4W4HTuZ0kx24DTh50E02EMPdDpzM\n6SY7cBtw8qCbbCCGux04mZKlDYzMSlBKFgJbJPY3A55OnlAUA3ecnKhrA+B24PQ8XhY4wx0vCxzH\nywLH8bLA6XraPeXtHmArSRMkrQVMAa5usw6O00ncBhzH7cBx3AYcx+3AcdwGnK6nrSOUzOwNSUcB\nNxE6s84xs7nt1MFxOonbgOO4HTiO24DjuB04jtuA0wu01YeS4ziO4ziO4ziO4ziO0/20e8pbTSTt\nJ+kRSY9Jml7n3M0k3SLpYUkPSPpmDB8r6SZJj0q6UdLoxDVnSHpc0oCkSRVkjpA0W9LVcX+ipDuj\nrIskjYzha0m6OMq6Q9IWZXJGS7pM0lxJD0napRm9JH1L0oOS7pf06xhvWp0ulrRY0v0Jec3oMFXS\nCkmvS3oyEX5avL8BSVdIWj9x7LtR1lxJ+yTCb4hyXilPX0n/LGmlpA2a1Ske+0bMQw9IOiWFTqnz\nXB7Ui79eXmtAzlRJz8b8PVvS56vIOac831Q4p6YdpZUlaQ9JyxM6/UuV8yraejN6pZGVRi9JoyTd\nJWlOlDOjwjlp0y6NrFTpF88d8h5rRqe8qJQnJL1H0u2S7pN0laT1EscatttG4pC0l6R7Y/g9kvZM\nXLODwrv3MUl9zchPHN9C0t8kfTvreyg79mA8vlate2jiOY2UdF6U9ZCk41LeR2bldLSBx+I1hzcj\nX9Jh8d4GJN0m6T1p7qMTtKJPlbTN5JknjuWdthXfi2qiXqYq75HE8ZbrfrXikDQ/5rs5ku7OKT2y\nqndWjSNv6uX5Ws+/gzqlLpsz1Cmzelq7dFLK+l7GOmVWd+wk9fJghfMzbR9n8X6Mx71t3MttYzMr\nxI/QufVnYAKwJjAAvKPG+eOBSXF7PeBR4B3AqcB3Yvh04JS4vT9wXdzeBbizgsxvAf8NXB33LwEO\njtu/AL4St78G/DxuHwJcXCbnPOCIuD0SGN2oXsAmwBPAWgldpjag083AJOD+hF6N6jAW+AuwL/AB\nwhq9o+OxvYARcfsU4OS4/U5gTrzviTFNFdN3YYzr/mT6EhzQ3QDMAzZoQafJhCGjI+P+W+L/tjV0\nSp3nOpHnK6TrxU3KmQqckUKn3cvzTdnxunbUgKw9iLZWR6eKtt6MXillpdVrnfi/BnAnsHOjadeA\nrFTpF88d8h5rVqec8vxqeQK4G9g9bk8Dvh+3a71Lqub3BuPYHhgft7cDFiauuauUDoQ1q/dtVH7i\n+OWEd/e3436W97AGcB/wrrg/FlaNPq54D03EcShwYdx+E+FdvUWK+8iknGbwvT8aGJPYblT+rgyW\nF/sl5He0LKhgJy3pUyVtM3nm7UrbeKz8vbgLDdbLqPIeKXteLdX96sVBqMuNLYsz6/Q4j9brnTXj\n6HSer/b8O6xT6rI5Q70yq6e1UadU9aqMdcqs7tipX5o8mPa+G30fJOR529jbxnXrHx03lkSC7gr8\nLrF/HDC9geuvjAn5CDAuYVRz4/ZZwCGJ8+eWzksk3O/jgy8ZzXOJjLFKv5jAu8TtNYDnEnLeDPyl\ngn4N6UUwmr/GTDKS4KBtb+DZtDrFzHB/CzpMAX4RwyYAS5LnJc7/GHBBpXQDfhcz/a5xewLBaFad\nB1wGvJuhRtOwToQXyocq6FdTp2bzXDvyfK281qCcqcBPU+o1JN+UHatpRw3K2gO4ponndiXw4Vb0\nqiOrIb2AdYB7Ccu8NpR2DchKlX5UeI+1qlPWv/I8ASwv0/+huN203aaNo4JuzxEK0PHAw4nwVe+d\nRuUDBxEqLP/KYIdSZvdAqGCcX+Feat5Dg3FMAa6KeWZDQlkyJs19lMXXVDld4fn/gsplUTX5j1Q4\ndwywIG16tNlGWtanQtrm8szbkbYMvhd3Jn0d6NlKz474HinL583W/dLGMQ/YsOyeMntOZFfvbCjN\n253nKzz/XMuvlDqlrltlrFtm9bQ26dRUfS9j/TKrO7ZR5yzKgqbbx3jb2NvGKfNckaa8bQosSOwv\njGF1kTSR0ON4JyFTLAYws0XAxlXkP1Um/3TgWMCizA2BZWa2soI+q2SZ2RvA8sRwtC2B5yWdG4cI\n/krSOo3qZWZPAz8CnoxhK4DZhAp/Kp0Ivb9JNk6pQ0luefhrVE6TzxO+fle9n2pxSPoooVL/QJnM\nZnTaGvhgHPbYL2nHZnSqcH95kSb+WnmtETkAn4hDJC+VtFlGOpfbUaPsqjAN4DpJ76x3csLW72pV\nrxqyUukVhwHPARYBvzeze6rpVCPt0sqCdOk35D1WgdQ6tZEH43sA4NOECgxka7fV4liFpE8Bc8ys\n9E5Z2EAcFeVLWhf4DnAi4ctPiSzvYesY1w0K0/eOTcTRyD3UiuNy4GXgGWA+8B9mtryR+2iynK72\n3l/NvuvI36iCSl8kVKBqxdsp8tCn1fK/6js1r7Qtfy8SvsCmrQOtiO+2POt+aeMw4EaFabVfjGFZ\n2kCr9c6G0zwHsqoPtVsnyKZulSWdTMdaNFTfy5Is645tpqWyIIP2sbeNB/G2cQ2K1KGkCmHVGkWD\nFwUfD5cDR5vZizWuqSpf0keAxWY2kDhPFa6xxLFy2aVjI4EdgJ+Z2Q7AS4TevYb0kjSG8GV7AqFH\ndl3Cl+iK91BHp3pUu7Zumkj6HvCamV1URVbpmkrhI4DvATMy0mkkMMbMdiU04i5rQqe0zywL0sSf\nJl3TyLkamGhmk4D/B8xMq2QTcaXlT8AEM3svcCbhK0r1iFe39ab1qiMrlV5mtjKesxmwS4UKUmqb\nTCGrbvpVeI9VeiatvCfy4vPAUZLuIbznXo3hWdpttThCRNJ2wMnAl+vE3aj8E4DTzezlsvOzvIeR\nwPsJ09I+AHxcwRdUlnHsArxO+Hq3JfDPsaKaKo4WyulUZVED8kvn7wkcQRjeXineIfI7QDv1abr8\nh3zTtuy9uDNhiH41nRp+X2RQ96sbR2Q3M3sfcADwdUkfIFsbaLXe2VCa50RW9aEsaWfdKkuK9j6D\nBut7WZJl3bEDNK1fq+1jbxt727iCrKoUqUNpIcEnQ4nNgKdrXaDgdOtywpCyq2LwYknj4vHxhGFw\nJfmbV5H/fuBASU8AFwEfAvqA0ZJGVDh/lSxJawDrm9myxLEFZnZv3L+CYESN6rUX8ISZLY29qr8F\ndgPGpNUJeKHskTWqQ3marJmID0lTCRWkwxLnpJW1GaGxMhG4T9K8GDZb0sZN6rQA+A1AHOHxRuxN\nr5a3Gs5zGZMm/gVUz2up5ZjZsjjyAuA/gR1pjlp21BBm9mKpoW1mvwPWrDGCp5KtN6VXPVmN6BXP\neQGYRfDJkiRN2qWSlTL9yt9je0o6v1Wd8sbMHjOzfc1sJ+BiwigEaOxdUjMP1oiD+EX5N8DnzGx+\nnbgblb8LcFpMk2OA4yUdmfE9LARujXnk74QvYjs0eg914jgUuCE28J8D/gi8L819ZFROV42nQfko\nOOL+FXBgWbndybKgnDz0yeyZl8g7bUvE9+KthKH4aetAo2P65ln3SxNH6as30XauJHSOZfmcsqp3\ndtIOsqoPtVWnDOtWWZJZPS0rGq1XZUWWdccO0ZRNZvRu9raxt42T4bWxAswRtcG5jSUnUGsRnEBt\nW+ea84Efl4WdyuD8w+MYdK51AIOOrHalutPePRjqeKw0B/EXwFfj9pEMOvmawuqOx24Fto7bM6JO\nDelFqHA8AKxN6C08D/h6IzoRMuQDzT4bhjpofA/BydeYeGw/4CFW9wtQcjy2FvBWBp18ldL3/cCD\nldKXME90bAs6fRk4MW5vDfw1pU6p81y783y9vNaAnPGJ7Y8Dt9fQa0i+KTuWyo5Sykr6MNsZmN+I\nrTerVwpZdfUC3sKgw7s3AX8ADmg07RqQlTr94jmr3mPN6JRzvh+SJ4CN4v8IwtfdaXG/abttII4x\n8fqPV9Dzrpj+InTS7Neo/DJ5Mxj0oZT1PdxLKCtGEqYG7VfvHlLGMTXufwc4J26vS3j3b5fyPlou\npxn63i9tj0kpP+lkcwvgcWDXsvM7WhZUyCst61MhbTN75u1IW6q8F2mwXkaV90iF59V03a9WHAT/\nT+slbOePwD5ZpwfZ1Dvrpnkn83y1599hnRoqmzPUbSIZ1dPapFPq+l7GOmVWd+zEL00eTHvfjb4P\nyq5t+v2YkOFt4x5uG3fcWMoe2n4Eb/SPA8fVOff9wBvxRucQ5lDuB2xA8OL+KKFinSxwz4wP6T5g\nhypyk0bzVkKF/LGYWdeM4aOAS6OedxKGuyZlbA/cE3X7TUzghvUiGNxcgqOumYQex7Q6XUXoUXyF\nMNf0iJjhGtVhGqE393XCnMySrMcJjtFmx9/PE9d8N8qaC+yTCO+PclYS5rEeUfbcniA6HmtSp5HA\nBYSXzb3AHil0Sp3n2pXnCf5W/jFNXmtAzkmEl9UcwrDsravIubBCvvkK8OVG7CiNLEIhUNLpdhJO\nTFPaesN6pZGVRi+Co7zZUc79wPdaSLs0slKlX5X3WMM65ZjfK+WJb8a8+whwUtn5DdttI3EQhhX/\nLT7/Un4orYCxI+Fd8jjwk2bvIXHdDGKHUpb3EM8/LOaP+4mritS6hyae07ox3zwYf2nvI7NymvDe\nf5xQ9h3ejHzCCIIlifS+O819dOLXij5V0rbZ8n/IM29j2lZ7LzZcL6PKe6Tsflqq+1WLI8oqPaMH\nGCyfM3lOiWNZ1TurxtGJPE+Hy68UOjVUNmekU2b1tHbpRMr6XsY6ZVZ37OSvUh5s8r6bbh/jbWNv\nG9f5lb6gOI7jOI7jOI7jOI7jOE4qiuRDqWuQtLmkFyRVclxV79oZki7IQ68UcZ8r6fudiNtxHMdx\nHMdxnGyQtFLSlp263nEcB7xDqSaS5kn6UGJ/iqSlhGF861sc3hWX4ft8A6JzHRYmaZakpZLWzFju\nlLjs4IuSFkm6Q9LXsozD6U3KbSnlNRUrOpImSnpD0pnZaeg4jZFFnpa0R8zLLyR+lRyHtox/UHCG\nI2nzvaTvSvpVO3RyegdJ8yX9b7mDaUkD8X2/haRNJV0u6TlJyyTdJ+nwxLlfkDRX0gpJz0i6RtK6\nKVWo2Z6QNF7S2ZKejvIfjh+235TmesdJQxo7aFLuWZJWWzlR0ntifGOa1TnKyaW9PBzxDqWURK/t\nPwX2N7P/6bQ+1ZA0AdidMBfzwAzl/hNwOsF52TgzGw98FditmiEmPO47TjNUq+gcDiwFptQqBOKK\nDo5TJCrl6afiB4rS76BKF3p+djpFM52nDcheS9LJkv4q6SVJj8b6Rh5xVe3ANbOTzezLKeWMlnRO\nbPyvkPSIpGMTx1dK+luU/7f4IdLpTYzgNPfQUoCkdxGcBpfe9xcQ/KpsDmxIqMMsjufuAfyQ4FB4\nNLAtwedLWqrOlJA0FriD4Edmlyh/b4LT+7fVu95xGiCNHTTDecDHEx2gJT4HXGNmyxsRlqxHNdJe\n9vZsffwBpUDSl4F/JzisukvShFhhGCHp34APAGfGysMZ8ZrtJN0kaUmsdByXEDlK0sx4/gOSdkjE\n9Q/xS8azkv4i6RuJYzMkXVLt2sjhhALkPIKDrnI2inq9oDCyqrSc4i8k/XvZfV8p6RhJ6xOcEH7N\nzH5rZi8BmNl9ZvY5i0umxi+BP5d0naS/AZMbfdbO8ELSlyQ9Lun5mN/Gx/BbCRWd+2NePThx2eHA\nvxCczn20TN5KSUdKeozgnA9J70jY4tykLEkHSJodGwV/lTQj51t2epwm83QlOTMkXSbpAknLgamx\n8d0n6SlJCyWdXupUjY3lBZK+LWlxPGdaSSfgM8B3ko1oSdMl/TmGPSjpY4n4R0j6kcJX9b9I+nqp\n3IvH19fgl+8Fkn4gNT4N3Bn2XA7sSXAC+mZCQ+Erkn6UU3ypOnDrcDrBUf02sZF+IGGFnRIGvCfK\nf7OZ5b48utNRLgCmJvanEpwFQ3jn7wTMNLP/NbOVse58Yzz+PsLKcPcDmNlyM7ugVM9W2QwISVMl\nlX/U/kh8Rz8r6bRE+D8BL8R6+oIo/ykz+5aZPVh+E7XqQ5JGxbLoeYVRVndJ2igemxbjfyH+H1ou\n2xkW1LKDpvKXmd1JcKL9ycS5IwgLkZwX92u2jRU+iHxH0n3AixrsHKraXq7Uno31r/+Iuj8Tj4+K\n549RGFn4bGxrXCNpk1YfaFfRae/1Rf4RelsvB54B3pUIn0DwoD/CBj20fz5xfD2CARxDWHJvXWAn\nG/RO/zKwL6GgOQm4ozR7juCB/XuEZfsmEryv713v2kTcjxNWMNgBeJW4DHQ8di6wgrACwJpAH/A/\n8dgHiEsJxv0xwEvAOEJF79XS/dZ4XucCy4hLMgNrdToN/VeMX7SlD5WFfQh4jrDyw5rAGcCtieMr\ngbeWXfMB4O+E1SHOAK4sO74SuDHm31GEJZufJBQcAiYBzxKXwAQ+CGwXt98Vbf3ATj8v/xX/l0We\nJqyc8mQV+TMIK5F8NO6vDXyfsELOhvH3RwaXg92D0Mk6I5Yf+8d3eGnp9XOB75fF8Unics7AwcCL\nif2vElbl+Ydob79naLl3JfDzqNdbCCuofKnT6eK/9uT1GP4lQp3j+ZgfxsfwE4Az4vbImK9KSzGv\nnXiHf5hQp9mkTO7OhJVqJlaKP+bxCxL7l8Z39zJgFvDOxLFV+T6FvV0QtydEWz2cMLLkWeD4xLkP\n1Con4rVbdjrd/Jf/r5Q3CaskbUP4UF8ajfQGsAVwE3AbcAiwedn1u8f39AnAbpTVm1m9fTEV+ENi\nfyVhdbnRwGaElZk+H4/dAcyoo/+qvEqN+hBh6fGrCPUqAUmCYNwAACAASURBVO8ltHXWIbQrtorn\njSPFEuP+661fHTtYGe2g4fwVjx0P/D4R176EEX5rxP2abeOo22xgE2BUIrxeeznZnh1FaDNfGW1t\n3ajvD+PxDYCPx/PWJaw095tOp0s7fz5CqT57AXdahd78Gvwj8IyZ9ZnZq2b2kpndkzh+m5ndaCEX\nXgC8J4bvTFiy+odm9oaZzQfOBqakuBZJuxOM9lIzm03ojDqsTLfrzOyPFkYVfQ/4P5I2tTCNz6IM\nCI2LO8xsMaHh8ryZrUzE9cfYi/xy4hqAqyz0KGNmrzbwzJzhx2HAORa+1r1GWL7y/2joXOvyEQ+H\nA9eb2QrCMrX7S3pL2TknWfjK9wrBFueZ2fkWKC1X+ikAM/uDmT0Utx8ELiY0OhynGZrJ05sqzOFf\nFv8/lTh2h5ldA2Bm/xvln2hmS8xsCWHk6OcS578K/CCWH78jNOS3qaasmV0R3/GY2WWECtbO8fDB\nwE/M7Jlob6esugGp9KHhWxa+uj9PqGz5l+lhgsIUuJMI79J/IHTcXxIP38rge3QnYFFifzfgkZin\n9gLuMrOnk7LN7G5gIaHDqRrJaRTXE6bwbExoOPy6ubtabWrG+4G3Rz3/VVLJlu4EToojM7ZqMi6n\ntyiNztgbeITwUbn0rj8Y+ANhZPUTcZTG+wDM7DbgE4QG9LXA83FkaCOjPU8xsxVmtpCh7+ENCY32\nVNSpD70W5W0d61JzzOzFeOwN4N2S1jazxWY2twHdnd6ikh0ALeWvC4APJkb8fA640MzeSMRbtW0c\n+YmZPR3bBWnby8n27CvAFwl1nhUWRhCeQrQ1M1tqYQbPK/HYyQyztoR3KNXnq8DWks5p4JrNGTr8\nuZxFie2XgbXjELwtGGxcLJW0jNAg2TjFtRAa2zeZ2bK4fxFDhx8CLChtxEy/lNBrC6EyWCqIDmWw\nUrYEeEsiHszs/WY2Nh5L5qMFOE46NiF8wQBW5cclwKaVTpa0NqFidmE8/05CfisvBBYmticAu5bZ\n1GGEr2hI2kXSLXGY6nLC14ryDirHSUtDeTrylJltYGZj4//liWPl79NNCA33En9l8P0NsCTZ8U8o\nI9arFrGkwyXNiZ1Zy4DtGMz/m5TFn9zegjAC65mEXZ2F285wolbn6R3A2xV8uHwQOIdQt1kn7t8a\nZbyF6g3eZ4CN0ihiZueZ2ctRj+8D20t6c5XTa3XgDhELnBA/Ct4P3EcYeQhwFPDfwNeBhyQ9Jmm/\nsutnJ+LoS3MfTlfz3wSbmAacnzwQG6DHm9m7CXWP+4DfJo7faGYHWZgaeVCU8cUG4k7WeZJlwhJC\nZ28q6tSHLiCM/r5YYbr1KZLWMLOXCSOvvkYoD65JdLw6w4+qdtBM/gKwMF3zf4DPKjir/xiJqXSR\nWm1jGGoj0GB7OU7vXAf4U6k9AfyO0AmGpDdJ+qWCc/LlhDJuTIMdw12NdyjV51nCV7IPSPp5lXPK\nv2otAJr5arUAeCI2KkoNjNFm9tF6F8bG9qeBPeLczmcIU+62l/TuxKmbJ65ZjzBMr9SDfBHwqVgh\n3AW4IobfQZh6kcbXQCvO15zhxdOEDh8AYkGxIau/+Et8HFgf+Hkij29CKBiSJPPgAmBWmU2tb2ZH\nxeO/Jgxh3dTMxgC/xJ1UOs3TaJ6uR/n79Kmk/Lj9NOkYIiu+538FHBntYizwEIP5/xnCFIoSyVFW\nC4D/BTZM2NUYMyv/Kuj0LlU7T+NounsJfhQ/SJiGdjthes8eDHYoPU/1Bu8/EOpfNVHw9XWKgi+w\n5YTpDUb1zs1aHbjlLE5sr+qcjV+hTzGznQj2fRlwmYauOPTeRBzH1LsPp7sxsycJeW9/wijoauct\nBf4D2CR2uJYf7wduIUwJgjAdbp3EKeMriN08sZ0sE24m1JvSUrU+ZGavm9kPzGw7wijDjxLrXmb2\nezPbJ+r2KPCfDcTp9BBV7KBU92gqf0VmEjp8PkloJw80qlppo4H2crLO9DyhDNgu0Z4YY8GHHgR/\nZW8nuLcZQyj3YBi1J7xDKQVmtogwN3RfDTqKTGaSxUByefNrgXGSvhmdeK0naWeqU5J1N/CCgvOw\ntSWtoeDc+30prv04wefAtoSvaNvH7dsYapQHSNpN0lrADwjT+Z6K9zlAMJqzgRvM7IUYvoLw1e/n\nkj4paV0FJjG0oHOcWqyl4HhvlIIju0uBIxSW/xxFmD5xZ/waAeGLQ9KuphK+dL+bwTy+O/BeSdtV\nifNawgjDz0oaKWlNSe9LfEFbD1hmZq9FGy0f7eQ4tWg1TzfKxcC/SHqLwlTP/0v4speG8nJqXYJv\ng+djo/wIBhsxxHs5WtImsaH8ndKBWCbeBJwu6c2xPNhS0gdxhgvVOk+fikF/INSbJgH3xP19CVPg\n/hDPuRnYRdKQEXzxXbx54rxajerPEBofH4oV+YmEelFbKvJxWsZJBHt6a+LQsGlIOKv4PCEf/j0Z\nGDs8t4t1+jcDRwKPm9kySQdKOqTUGRnz/h6ED7kAA8An4giIrYAvVIj3WAWnwJsD3ySUEwA/BtZX\ncFa8RZS/qcKUundVkFO1PiRpsqR3xVEfLxKmKL0haWNJH1UYffhaPPZ6ow/O6SnK7aD0Lmw4fyVk\nXkEoE05k9dFJlaj1/k3bXl5FnEr3n0CfBp3Rbyppn3jKmwm+AV+QtAHBJ9qwwjuUarOqd9LC3OQP\nE/wFnEyoiJf4CXCwgmf3vljB2Juw8sciwmpTk+vFE6cqfJRQAZtH+Dr3n4RRGfV0PBz4LwsrODxb\n+gFnAp9JDP27kJDRlxDmbH+mTN5F8T6H+CAws38Hvk1oVCyO9/WLuH97Df0cp8R1hB7+v8f/3QkN\n4t8QGiFvZai/sBOA8+Pw0sMJjZPTk/k7zn3+HYNDVYeMwoi2uE+U+3T8nUJwnAehYvcDSSsI/g0u\nwXHS00qerjbVphb/Rhj5UZqCcy9hyelqJO3hHGC7GPdvLPi5+DHBH8wiwnS32xLn/yeh0+h+4E/x\nXl9PTKk7nLDoxMOEqdOXUfnrudMbpO08LU3JvJWQRx42s9cJo5S+SPBptwTAzP4fwaHwFZLeGTs2\ndyVMm5hpZn+OsgaAKfGjwPuIPvAi6xFGUC+LnVonk81I6VrLsf9L/DCxZrz3YwgOXB/NIF6nu0i2\nE+bFOkn5sXUIU9yWEXy1bM7giP9lBOf2j8V6yPnAqWZW6hQ6ndC4XkRwFPzfFeK/ivCOng1cA/xX\n1GcZYbTHa8BdUf7vgeVRjyH6U7s+NJ6wSNEKwkjW/qjLCMLojKcIH6Q/GOU4w4s0dtBM/irJfJnQ\nqbQp6XzkWZVtSN9eLmc6wW7ujKNhbwK2jsf6CHb+PKFNfH0KHXsLq++5/RxCB8L9FY79M6FjZYNE\n2BkEx54DwKRE+FRCx8qjwOH14vWf/7rhR3iZzCEU5HMIL8NvAmMJL5tHCfOCRyeuqWgj/vNfN/4I\n06JuIXQsPAB8M4a7DfTQj+CEe16n9ej0r1qdCPgGwQnpA8QVzWL4d2NenwvsU/Y8H4n1oumdvq86\n9zyP8LX4jVjne4MwavnLhAr288DVJFZrI4zYeQX4l0TYIuDMMtlrETqBniQ4lV9J+Ei3ZuKctxI6\nPl8gNJj7gPMT8VwZj80DPhv1K61c1cgqbyWZE0isaBjDbmFw9azvxXReHu/9FuJqQPH4qviH24+w\nAtJlMb8/RHCf4GWB/4bNDzg6vh+8PuS/YfOTWe0POQqe0F+MBW1yRbHNCFOjtgF2NLOlkvYHjjKz\nj0jaheBVfdc4T/hewtJ8IvSk72BhKpXj9ASxV3shoQJ1FMFB7mmSpgNjzey4ajbSQbUdpyUkjScs\nFz6g4JftT4Svr0fgNtC1KPgZ2JNQCS59PbzdzP6po4p1mEp1IkmTCUsbH2Bmr0t6i5k9L2lbwqjg\nnQgdrzcT/CyI0JH0YcKoyXuAKWb2SLvvp2hIOpfwFfoACyObnC5C0nnArWZ2rqSRhA6/4/GywBkG\nRPcLFxHe+a8TRtAfSRiF5jbg9Cx1p7xZWNJyWYVDpwPHloUdRPTqbmZ3AaMVlhfel+BNfYWZlYaJ\nla+I4Tjdzl7AXyz4SzmIwXm+Mxkc3lzNRhynKzGzRRYdJFqYYjiX0Hh2G+huRPBXsJTQSfgQYRTH\nsKZKnehrhFFJr8dzno/hBwEXW3A4Op/wFXrn+HvczP5qYWWyi0m36MVw4IuEaTk7dFoRpzGif6AP\nmNm5sMrR7gq8LHCGD9sSpv6+YmFZ+z8QfPYciNuA08M05UNJ0keBBWb2QNmhTRm6tPDCGFYe/hS1\nl1F2nG7kEOKS9sA4M1sMqxzYbhzD3RacnkXSRIIPuDtxG+hqzOzvZrazhZVGx5vZF2OHobM6WwMf\nlHSnpH5JO8bwanm9Wl1p2GNmb5jZv5vZ3Z3WxWmYLQlO/s+VNFvSr6KzZi8LnOHCg4SyYGzM+wcQ\nfGa5DTg9TcMdSpLeRJg/XulLZbkTQxGcYVVybujLyzs9g6Q1CV8gLotB1fK324LTk8TpbpcDR8eO\nB7cBZ7gwEhgTpyp8h8FyoFpedxtwepGRhJFlPzOzHQir8x2HlwXOMCFOWz6VML35eoJfpFpTd90G\nnJ5gZBPXvI2wLOt9kkSY2jA7LgG4kNATW2Izgn+AhQxd5Wwzggf31ZDkhuRkjpnlvYTv/sCfElMd\nFksaZ2aLo4+ZZ2N4NRsZgtuBkwd52UH0lXE5cIGZXRWD3QacwpGTDSwgrOyHmd0j6Q1JGxLy+haJ\n80p5XVXCV8PtwMmDnOxgIWH2wr1x/wpCh5KXBU7hyKs+FKd8ngsg6YeE8qElG4iy3A6cTMnSBtKO\nUFL8YWYPxuHvW5rZWwnG8F4LS+5dTViOj7j06/I4xO9GYG9Jo6OD7r1jWEXy9kQ+Y8aM3GTHO6A0\ngKtb76NdcbTjHtrEoQRHfCWuBqbF7WmEZV1L4ZVsZDXyfi6dSo8ixDkc482Z/yIsD/6TRFghbSCP\n5z+cZXaTrhmyqk4UuZLgYBtJWwNrmdmSmNcPkbSWpLcCWwF3E5xwbyVpgqS1gCnx3IrkkWbtyBft\nku9xNPbLCwvv8QXRBog28RAFKAtafa5ZpIvrUBwd8kTSRvF/C4L/pIvIwAYAtt9+D/ba6+O89NJL\nHX1+Wcsqok69fn9ZU3eEkqQLCaOLNpT0JDDDosO9yKrh22Z2vaQDJP2ZMNT1iBi+TNIPCCu9GXCi\nBefcHWH+/PntiCX/GNpwH3nH0Z60yJc4DXQvwhLKJU4FLpX0ecJyyAdDdRspCp1Ij07lgeEWb15I\nej/wGeABSXMI7/jjKagN5PH8h7PMvOQW1U4q1YkIHarnSnoAeIXYQDCzhyVdCjwMvAYcaaEm94ak\nowgLlIwAzjGzuW2/mUgvlPMeR2H4JvDr6AbgCcL7fQ06XBa0+lyzSBfXoTg65MwVkjZg8J2/QlIm\n9aH77juBtdeewrPPPsvEiRObUi7L55eVrCLqlKWsIuqUNXU7lMzssDrHtyzbP6rKeecB5zWgm+N0\nBWb2d2CjsrClhE6mSudXtBHH6UbM7I+EBkMl3AacnqJGnehzVc4/GTi5QvgNwDYZquY4HcfM7iMs\nmV6OlwXOsMDMPlghLKM2wWTWWGPtpnVznLxoapW3bmfatGntiCX/GNpwH3nH0Z60cNLSifToVB4Y\nbvE6gTye/3CWmZdct5P20QvlvMfh1KLV55pFurgOxdFhOJPl88tKVhF1ylJWEXXKGuUxj64VJFnR\ndGqE4Ke8pL9ymafoNIYkLH+n3JnS7XbgFI9uswO3ASdrus0GwO3AyZ5uswO3ASdrus0GoOSU21h3\n3Yk8+OCspqe8OQ5kbwPDcoTSrFmz2hFL/jG04T7yjqM9aeGkpRPp0ak8MNzidQJ5PP/hLDMvuW4n\n7aMXynmPw6lFq881i3RxHYqjQ95I+pakByXdL+nXcWGGiZLulPSopIvi6rjEYxdLelzSHdGZd25k\n+fyyklVEnbKUVUSdsmZYdig5juM4juM0iqRzJC2WdH+FY/8saWV0yFoKOyM2FAYkTUqET5X0WGxc\nHN4u/R3HcZz8kLQJ8A1gBzN7D8Ff8aGEhUp+ZGbbAMuBL8RLvgAsNbO3A33Aae3X2nFaw6e8ZYxP\neSse3Tq0tZR3xo+fyOLFfwVg3LgJLFo0v4OaOd1Kt9lB3mWB29XwIwsbkLQ78CJwfmwslMI3A84m\nONre0cyWStofOMrMPiJpF+AnZrarpLGEVW93IKyS+ydC42NFhfi6uk7kFA8vC5zhTp42EDuU7gAm\nAX8DfgP8FPg1MN7MVkralbBq+v6Sbojbd0laA1hkZhtVkOtT3pzMaPuUt0pf4ySdJmlu/OJ2haT1\nE8e+G7/GzZW0TyJ8P0mPxC9y07O6AcfpNJJGS7os5vmHJO0iaaykm+LX5xsljU6cX/GLdTVCo9cA\nW9UAdhynNdyunGYws9uAZRUOnQ4cWxZ2EHB+vO4uYLSkccC+wE1mtsLMlgM3AftVi3Ps2M3Yaqvt\nefHFF7O4BcfpOqZM+QJTpnyB2bNnd1oVx6mJmT0N/Ah4EngKWAHMBpab2cp42kJg07i9KbAgXvsG\nsDw5ytVxuoE0U97OJVR+ktwEbGdmk4DHge8CSHon8GlgW2B/4OcKjADOjHK2Aw6V9I5sbqFx3IdS\nceIo6lzQBvkJcL2ZbQtsDzwCHAfcHIe23sKgjewPvC0Obf0KcFZnVK6M+1Dq3XidQLf4++kWmXnJ\n7SY7kfRRYIGZPVB2aFVDIVJqRJSHP8Vg42I1li+/k6efXsyKFasNYMqEXijnPY7e5pJLduOSS5Zy\n6aVXNHV9Efz2uA7F0SFPJI0hfEyYAGwCrEtoE5czOJ2lTETiWBnTePXV5fT19dHX1zfkWcyaNSvV\nfiks7fm19vv6+lq6vlyXVvXx+6u+39fXx7Rp0zjhhBM44YQTyJqR9U4ws9skTSgLuzmxeyfwybh9\nIHCxmb0OzJf0OLAzwTgeN7O/Aki6mGBsj7R+C47TOSS9GfiAmU0DiHl/haSDgD3iaTOBfkIn05Av\n1nF00zgzW9x25R3HcZyWkPQm4HvA3pUOV9i3CuFQtQEBsBlhJoTjFBtJ8wkjMlYCr5nZznGK5yWE\nBvZ84NOl6Z2SziA0tl8CppnZQGXJXwAWAS/newOO0zp7AU+Y2VIASb8FdgPGSBoRRyltBjwdz18I\nbA48Hae8rW9mlUbBAuex1loTOeaYY1ab8jZ58uRU+6VOhrTnd9u+31/l/WOOOWbI/oknnkiWpPKh\nFDuUrkn6C0gcuxq4yMwukvRT4A4zuzAeOxu4nlB52tfMvhzDPwvsbGbfrCCvq+dKuw+l4pHzXOnt\ngV8BDxNGJ90LHAM8ZWZjE+ctMbMNJV0DnGxmt8fwm4HvmNnsMrmr7MDzlJMF7jdjNfm4XQ0vsrKB\nZJ1I0ruAmwktXREaCk8RPqZ9H+g3s0vidY8QPjTsCUw2s6/G8LOS55XFZTCVkSOv4Bvf+BJbbLEF\nkyZNqlq59H3fL98fGBhg+fLlAMyfP5+ZM2fmWSd6guBDbFki7FRgiZmdFl1ejDWz46r5GKsg08K7\n+odMn/4yp5zywzxUd4YRObcLdgbOAXYCXiHM9LkH+CDwGzO7RNIvgPvM7CxJRwLvMrMjJU0BPmZm\nUyrIdR9KTmZkbQMtdShJ+h7BkeQn4/6ZwO1lHUrXAWsA+5R1KO1kZkdXiMumTp26ylDGjBnTVZWn\n0EjpByYDor+/v1D6DYf9NleediSM0vs/ZnavpNMJTviOMrPkSj+lDqVrgZPKOpSONbM5ZXJX2UHo\nRT6d4N9vT8ysEM/Z94u93047yAPvUHKyJsMOpYmEOtG7KxybR6gXLZN0APD12GDeFeir4JR7RNze\nMfpTKpdnYKyzzqY89tjdbLpp1ZlxjpOKnBvT84D3mdmSRNgjwB5mtljSeELn6bblHamS5hI6WheX\nyfQOJSdT8v7AJmkGMAV4DZgDfJHwseFiYGwM+6yZvSZpFHAB8F5gCTDFzOZXkOkdSk5mZG4DZlb3\nRximen9Z2FTgj8CoRNhxwPTE/g3ALsCuwA3VziuTa3nT39+fm2zAwAz6Le97yfM+2hVHO+4hpkOq\nvN7oDxhHGNpa2t8duBaYC4yLYeOBuXH7LOCQxPmPlM4rkztE/5CnrCfyVBHiHI7x5mkHefzyyuul\n55+lXeWRpt0iMy+5ecjMwgaACwlTFV4hOF09ouz4E8AGif0zgT8D9xE6mkrh0wg+KB8DDq8Rn4HZ\nOutsYgsXLsz8mZj1RjnvcaQn5zrRE4QO0nuAL8awZWXnLIn/1wC7JcJvTtpIIjy+p//Npk8/vql7\nbvW5ZpEurkNxdOi2+pAl7GDddSfYvHnzmr73LN8xWckqok5ZyiqiTlnbQF0fShGRmPMvaT/gO8AH\nzeyVxHlXA7+OozQ2BbYC7iZ8gdsqjnR6htBre2jKuB2nsFj44rZA0tZm9hjwYeCh+JsGnBr/r4qX\nXA18HbgkfrFebu4/yXEcpysws8PqHN+ybP+oKuedB5yXmWKOUwx2M7NFkjYCbpL0KNX9gzXoS8xx\nHMcpInWnvEm6kDB/a0NgMTADOB5YizA0D+BOMzsynv9dgve814CjzeymGL4fYTWsEcA5ZnZKlfis\nnk5FxqdRFI82DG3dHjgbWJPwde4IwjTPSwmO9p4EDrY4nSFODd2P4ITyCCvznxTPWWUHnqecLHAf\nSqvJx+1qeNFtNgA+5c3JnnbZQZz28yJhus9kqz/lbdXUuDI5FiZFPMn73/8an/rUJ7vKFYbvd36/\nza4wtiY4oS8twLAl8H8J09qadk7vU96cLOmID6V24h1KTtZ0ayPCO5ScLOk2O/AOJSdrus0GwDuU\nnOzJyw4krQOMMLMXJa0L3AScSBi5vdTMTpV0HDDGglPuij7GKsh1H0pOprSxU3UEYRW3XYCjyMA5\nvXcoOVmQtQ2MyEpQN1Hqvc45lvxjaMN95B1He9LCSUsn0qNTeWC4xesE8nj+w1lmXnLdTtpHL5Tz\nHkchGAfcJmkOYbGSa+IshVOBveP0tw8DpwCY2fXAPEl/Bn4JHJmXYq0+1yzSxXUojg5tZC/gL2a2\nADgImBnDZ8Z94v/5AGZ2FzBa0ri8FMry+WUlq4g6ZSmriDplzbDsUHIcx3GyQdI5khZLuj8RNkPS\nQkmz42+/xLHvSnpc0lxJ+3RGa8dpjir5/bSYnwckXSFp/cSxivld0n6SHpH0WPxa7ThdjZnNM7NJ\nZvZeM3t3ybWFmS01s73MbBsz29sSqxma2VFmtpWZbV9p+r/jdDmHEBZygLAAz2IAM1sEbBzDNwUW\nJK55KoY5TtfgU94yxqdRFI9unebgU96cLMlxmsPuBD8Z55vZe2LYDOBvZvbjsnO3JVSudiIsoXsz\n8PZKL32f8uZkTRY2UCW/7wXcYmYrJZ1CWD3lu5LeCfyasvxO8KtRWsThacKKWFPM7JEK8fmUNydT\nuq1O5FPenKxphw1IWpPwft/WzJ6XtNTMNkgcX2JmG0q6FjjJzG6P4TcDx5rZnDJ5PuXNyYysbSDt\nKm+O4ziOsxpmdltcwbOcSgXVQcDFZvY6MF/S48DOwF156ug4WVEpv5vZzYndO4FPxu0DqZzfBTxu\nZn8FkHQxwTZW61ByHMdxupL9gT+Z2fNxf7GkcQnn9M/G8IWEBXxKbEboiKrANF59dTl9fX1MnDjR\nndP7fur9vr4+BgYG8uuINLOaP+Acwupu9yfCxhKc7T0K3AiMThw7A3gcGAAmJcKnEr7IPQocXiM+\ny5v+/v7cZAMGZtBved9LnvfRrjjacQ8xHerm9WZ/hNUa7gPmAHdbkzZSJnOI/iFPWU/kqSLEORzj\nzdMOCKuWJMuIGYQVDwcIKyCOjuE/BQ5LnHc28IkqMnN5DqXnn6Vd5ZGm3SIzL7l5yMzKBsrze9mx\nq4FDrUZ+J3Q4/SoR/lngjCryDMzWWWcTW7hwYebPxKw3ynmPIz1514my/g2+q//Npk8/vql7bvW5\nZpEurkNxdGiHDQAXAVMT+6cC0+P2ccApcfsA4Lq4vSth5fSqdrDuuhNs3rx5Td97lu+YrGQVUacs\nZRVRp6xtII0PpXOBfcvCjgNuNrNtgFuA7wJET/VvM7O3A18BzorhY4F/JQz73gWYIWl0irgdpxtY\nSVgS971mtnMMa8hGHKfH+Dkhn08CFgE/iuGVRi35XDOnJ5D0PeA1M7uoFFThNKsR7jiO43Q5kt5E\ncMj9m0Rwx53TO05epPKhFId3X2OD/gIeAfawwWF7/Wa2raSz4vYl8by5wGRgz3j+12L4L4BZpfPK\n4rI0OhUV98tRPPKeKy1pHvA+M1uSCGvIRiw66ktcv8oOPE85WZCnHZSXEdWOxSWjzcxOjcduAGZY\nWNmk/DqbOnXqquG5Y8aMyXR4d7CrfkIRJfr7+1uS5/vF2x8YGGD58uD/d/78+cycOTMTG6iU3yVN\nBb4MfMjMXolhFfM7oUPpBDPbr9J5ZXEZTGXkyCv4xje+xBZbbOHTHHy/EHbQLtyHkpM13eZHDNyH\nkpMtWdtAsx1K1RyLXQOcbIOOxX4PTCd0KI0ys5Ni+L8AL1uZw9Z4zDuUnExpQ4fSE8BSQsL/0szO\nlrTMzMYmzqlmIzcD37Gy1U28Q8nJmpw7lCYSyoh3x/3xFlYxQdK3gJ3M7LCEk+JdCKuY/J4COeUe\nP34iixf/FYBx4yawaNH83OJ32k9WNlAhv+9HGIX3wbIPCxXzO2GF3dJX6meAuwnT5OZWiMudcjuZ\n0m2Nae9QcrKm22wAvEPJyZasbSDNlLdGKFesVGMv1PDu0hecnGPJP4Y23EfecbQnLXJnNzN7H2Ee\n9NclfYDq+btQtlBOJ9KjU3lguMWbF5IuBG4Htpb0pKQjgNMk3S9pANgD+BaAmT0MXAo8DFwPHNnu\nLwi1nn/oTArulUodS63KbJZukZmX3KLaSZX8/lNgwaIj3QAAIABJREFUPeD3kmZL+jlUz+9m9gZw\nFMHP3kMEx92rdSa1i14o5z0OpxatPtcs0sV1KI4Ow5ksn19WsoqoU5ayiqhT1jS7ylujnuoXEuYV\nJMP7qwmfNm1abtMcSsN/8xpeHJg1uFWA4c6t7A8MDHSd/PLh3XlTGolhZs9JupKwik/Lqzkk7QD6\ngEmrjuWV7nnLL9J+nu+BIuy3yw7M7LAKwefWOP9k4OTcFHKcHMkqv5vZDcA2GarmOIVA0gjgXmCh\nmR0YR/RdTFisZDbwOTN7XdJawPnAjsDzwCFm9mRntHac7Ih+gs8G3kXws/p5wsJUlxAWdZgPfNrM\nVsTzzyCsCvcSMM3MBjqgtuM0TdopbxMZOrz7VGCpmZ0a5/6PMbPjJB0AfN3MPiJpV6DPzHaNTrnv\nBXYgjIq6F9jRzJZXiMunvDmZkvNUn3WAEWb2oqR1CV+cTyRMZUhtIxXk+pQ3J1O6bYh3J6a8+TS4\n3qbbbAB8ypuTPW1wA/AtQifR+rFD6RLgcjO7LPpQHTCzX0r6GvBuMztS0iHAx81sSgV5PuXNyZQ2\n2MB5wK1mdq6kkcC6wPHAEjM7TdJ0YGxsF+wPHBXbBbsAP6nWLvApb05WtH3KW5Xh3afQgKd6M1sG\n/IDQkXQXcGKlziTH6ULGAbdJmgPcSeh4vYncVnMYhSTGj5+Y2Q04jlOdZqfBOY7jDDckbUaY/n92\nIvhDwBVxeybwsbh9UNwHuJxQV3KcrkbSm4EPmNm5AGb2ehyJlMzvM+M+8f/8eO5dwGhJ49qrteO0\nRt0OJTM7zMw2MbNRZraFmZ1rZsvMbC8z28bM9k52DpnZUWa2lZltn3Q0bGbnmdnbzWxrMzs/rxtK\nQ/n0npxiyT+GHpjP3560yA8zm2dmk8zsvWb2bjMrdRwtbdRG0vEKeTZsO5EencoDwy1eJ5DH8x/O\nMvOS63bSPnqhnPc4CsPpwLHEoZ6SNgSWmdnKeHwhwUE98X8BQPQrtlzSBuRAq881i3RxHYqjQ85s\nCTwv6dzoU+9XcTbDOIsrOkdXGRvH81fZQeQpBm0kc7J8flnJKqJOWcoqok5Z06wPJcdxHMdxnGGF\npHOAfwQW2+DKt2Np0DeGpKnA94hzeTr9oc1xWkXSRwh2MSBpcimY1RcjscSxISISx8qYBjzJbbe9\nRl9fX8O+VVv1mZiFz8USnbq+KPut+k5t5vo2+1YdSXDx8nUzu1fS6cBxZLJYzzRefXU5fX19TJw4\nsSkfwyWySNci+iL1+6u839fXx8DAQG5TJVP5UGon7kPJyZpu9ZtRzYdSaeFEz1tOI3SbHRTFh5K/\n03uHLGxA0u7Ai8D5iQ6lU2nAN0aZX0kBfwJ2KHVClcXnPpScTMmrLJB0EvBZ4HXgTcCbgSuBfYDx\nZrYy+o6cYWb7S7ohbt8laQ3gGTPbuIJc96HkZErOvlXHAXeY2ZZxf3dCh9LbgMk2uFhPv5ltK+ms\nuH1JPP8RYI/SaKaEXPeh5GRG230oOY7jOM7wY1TsTHKcQczsNmBZWXCjvjH2BW4ysxVxOvRNwH55\n6+44eWJmx0fXGFsCU4BbzOyzhFWdD46nTQWuittXx33i8Vvaqa/j5EHsCFogaesY9GHgIUJ+nxbD\npjHUDg4HiB2uy8s7kxyn6AzLDqXyYWM5xZJ/DD0wn789aeGkpRPp0ak8MNzidQLpn3/wV5atzPR0\ni8y85HaZnWyc0jdGyX9MW31m1KMXynmPo9AcB3xb0mPABsA5Mfwc4C2SHgeOieflQqvPNYt0cR2K\no0Mb+Cbwa0kDwPbASeS2WE9jZPn8spJVRJ2ylFVEnbLGfSg5juM4juNkTzUfMQ34zIDgN+MFfvSj\nH7HFFls05Tejk34i2uGHokRR/Fy00z9Mvf02+48BwMxuBW6N2/OAXSqc8wrw6bYo5DhtxMzuA3aq\ncGivKucfla9GjpMvLflQkvQt4AvASuAB4AhgE+BiYCwwG/icmb0uaS3C0O8dgeeBQ8zsyQoy3YeS\nkynt8B0jaQTBJ8ZCMztQ0kQysgP3oeRkgftQWk0+9fwlDbb9/Z3eC2RlA5ImANckfCjNpQHfGMCe\n8fyvxvAh55XF5T6UnEzpxrLAfSg5WdJtNgDuQ8nJlsL4UJK0CfANgiPJ9xBGOx1KGNL3IzPbBlhO\n6HAi/i81s7cDfcBprSjuOAXjaODhxL7bgeM4Tm9SvnJVo74xbiRMfRgdHXTvHcMcx3GcLkfSfEn3\nSZoj6e4YNlbSTZIelXSjpNGJ88+Q9LikAUmTOqe54zRHqz6U1gDWlTSSsKLD04Qvb1fE4zOBj8Xt\npNPKywnzRztCe+Yf5h9HL8znL+pc0EaQtBlwAHB2IvhDFNwOKtGJ9OhUHhhu8TqBbvH30y0y85Jb\nVDuRdCFwO7C1pCclHUHwhZHaN4aZLQN+QBjVehdwYnTO3RF6oZz3OJxaFMFvj+tQHB3awErCKNT3\nmtnOMew44Ob4ofkW4LsAcTXQt8UPzV8BzspTsSL68ymiTlnKKqJOWdO0DyUze1rSj4AngZcJq5TM\nJnyBWxlPKzmghIQTSjN7Q9JySRuY2dKmtXecYnA6cCwwGkDShsAytwPHcZzewswOq3KoId8YZnYe\ncF42WjmO4zgFQqw+aOMgwpRnCB+W+wmdTENWA40jV8f5Sm9ON9G0DyVJYwgjMA4GVgCXAb8B/tXM\nto7nbAZcZ2bbS3oQ2MfMno7H/gzsFL/UJeW6DyUnU/KcKy3pI8D+ZnaUpMnAt4HPA3fErw0t24H7\nUHKyoNt8BrTXh9LahFXdwH0o9S7dZgPgPpSc7Ok2O3AfSk7W5G0Dkp4AlhIy7i/N7GxJy8xsbOKc\nJWa2oaRrgJPN7PYYfjPwHTObXSbTfSg5mZG1DbSyyttewBOlkRWSfgvsBoyRNCKOztiMMA0OwiiN\nzYGnJa0BrF/eiC4xbdq0VYYyZsyYzFc0yXM/MAsohj7Dcb/NK5q8HzhQ0gGEaZ9vJvhGGp2lHQSR\nQ6dVz5o1q1DP3feLtd+JlX26l1eovviW4ziO4zhOanYzs0WSNgJuitOhq32NanDVT8cpIGbW1A/Y\nmbCy29oEYzgP+DpwCWHlKoBfAF+N20cCP4/bU4CLq8i1vOnv789NNmBgBv2W973keR/tiqMd9xDT\noem8nvZHGMp6ddzOzA4G81RyO5+81Y70KEKcwzHedtlBVr+883g1u6oXVktmHnoWXWZecvOQ2W02\nYNEOwGyddTaxhQsXZv5MzHqjnPc40tNtdjD4Dv43mz79+KbuudXnmkW6uA7F0aGdNgDMAP4JmAuM\ni2Hjgblx+6xSeyHuP1I6r0yOwVRbc83RdvTRR9vpp58+5Fn09/en2i+FpT2/1v7pp5/e0vXlurSq\nj99f9f3TTz/dpk6dajNmzLAZM2ZkbgOt+FC6W9LlwBzgtfj/K+B64GJJP4hh58RLzgEukPQ4sCQ2\nph2nVzkOtwNnmCDpHOAfgcU2uJT6WELH6gRgPvBpM1sRj50B7A+8BEwzs4FO6O04WSLpW4SVPFcS\nPrgdAWwCXAyMJfiZ/JyZvS5pLYLfjB2B5wkNiic7orjjZICkUcAfgLUIMyAuN7MTJU3EbcAZJkha\nBxhhZi9KWhfYBziRwdVAT2X11UC/DlxSthpoBc5jrbUmcswxx6w25W3oTJnq+5Vn1vTOvt9f5f1j\njjlmyP6JJ55IljTtQykv3IeSkzXd5i8A3IeSkz05+xLbHXgROD/RoXQqsMTMTpM0HRhrZsfFFU2O\nMrOPSNoF+ImZ7VpBZq5lQTW7ch9KvUvONrAJcBvwDjN7VdIlhA9sBxAa1pdJ+gUwYGa/lPQ14N1m\ndqSkQ4CPm9lqHxjch5KTNTnbwTpm9nKc0v9H4GiCb8mWbcB9KDlZkbMNvBX4LSHTjgR+bWanSNoA\nuJTg9uJJ4GD7/+ydebgdRZn/P9+wr0kAyRViElFAVCCgAuMGCsiiAuMMmwsJ6G8cAQVRIahjyIzK\nMma4MIziwhJQ2UcEZZMhAVEWES6L7JIQAiRINgQ0LHl/f1Sde/ue9Dn3LN19+tz7fp7nPre7TvVb\nb3XXW11VXfVW3N1T0lnA3oSPbIdblf+kGMd9KDmZkbUNVHugdxzHcZymMLNbgWpfYPsTdjIh/t8/\nEd6/ownB39i4IvR0nJxZDVhP0uoEn3rPAB8ibGACwQ4OiMdJ+7gc2L1APR0nF8zs5Xi4FqEzbbgN\nOCMIM5trZpPNbAcz29bMTonhS8xsDzPb2sz2rAwmxd+ONrO3mtn2aYNJjlN2RuSAUmW6WM6p5J9C\nAfnIO41inoXTKJ14Hp0qAyMt3Q6waWXatpktBDaN4ZsDTyXiPR3DCiGP+z+SZeYlt9vsxMLOnTMJ\nX56fJux+ezdh+cLKGG0BA2W93w7M7HVgWfyCXTjD4T3vaZQDSaMk3QMsBH4D/JkS2EC79zWL5+I6\nlEeHkUyW9y8rWWXUKUtZZdQpa9rZ5c1xHMdxmqXhHU3y2PFzMHOo7MiZ/hFgTo3j/Hfq6+vry1x+\nX19fqXYizDv/Re50KGkMYcbFRMJg0mUEP2HVJNdUDhJBDTuAqbzyygvMnDmTCRMmZL7zbd7loohy\nV6HT5bYM5b76vEg7iANHO0jakLDsZ5u0aPF/UzYA87n11lfp7e1t2gZaLYM9PZNYtOhJAMaNm8jC\nhfM6Vkbbvb4s5+2W8Vau911vHSdf3IdSxrgPpfLhPpQcJ387kDQRuDrhQ+khYDczWySpB5htZttI\nOjseXxLjPQzsWu2E0n0oOVmTs9+Mfwb2MrP/F88/A/wD8M9Aj5mtjA5Xp5vZPpKui8d3RH8zz5rZ\npily3YeSkylFtYkkfQt4GTieDGygEz6UvE0/PCmgPTQKuAtYYGb7ZeGY3n0oOVlSKh9KkkZLukzS\nQ5L+JGlnSWMl3SDpEUnXSxqdiH+mpMck9Uma3L76jtNZJK0l6Q5J90i6X9L0GD5J0u3RDi6KPjWQ\ntKaki6Md3CZpQmdz4DiZIQZ/ca7saAKr7mhyGMDQO5o4TtcwH9hF0toKvdDdgT8Bs4EDY5wpDLaD\nKfH4QOCmAnV1nMyRtEmlzS9pHWAP4EHcBpyRxzGEsl/hVGCmmW0NLCPsBkr8v8TMtgR6gdMK1dJx\nMqJdH0pnANeY2TbA9sDDhO3Sb4xGcxNwIkDc2ect0Wg+D5zdZtotUz19NKdU8k9hGKznL+ZZ5IeZ\nrQA+ZGY7AJOBfeLOVV358ujE8+hUGRhp6eaJpJ8Dvwe2kjRf0uHAKcCekh4hdK4rjimvAeZKehz4\nIXBkkbrmcf9Hssy85HabnZjZnQTHwvcA9xIGV39EaBMdJ+lRYCPgnHjJOcAmkh4Djo3xOsJweM97\nGqXgjcBsSX3AHcD1sb7vuA20f1/bvb59HbIoG65D/kgaT9jd8yeJ4A9TEsf0Wd6/rGSVUacsZZVR\np6xp2YeSpA2AD5jZVAAzew1YLml/YNcYbRbhy8Q0qnb2ibObxvmXaafbqbOryaExfBYwndB53j8e\nQ3h5nFWcpo6TD2b2yRo/7VEj/tE5quM4HcHMZgAzqoLnAjunxF0BHFSEXo5TBGZ2P7BjSrjbgDOS\nOB34GlCZrbcxsLQRx/SSlknayMyWFKyz47RFyz6UJG1P+Pr2IGF20l2ELwxPm9nYRLzFZraxpKuB\nk83s9zH8RuD46u0R3YeSkzUFrZX+I/AW4H+A7wG3mdlW8ffxhJl820m6n+Bn45n422PAztUvD/eh\n5GRNt/kScx9KTtZ0mw2A+1Bysqfb7MB9KDlZk5cNSPoosI+ZHS1pN+A44AhCn2DLGGc88Gsz217S\nA8BHEn2Cx4H3mNnSFNnuQ8nJjKxtoJ1d3lYnfIk4yszuknQ6YSZSrdq24Z19HKebyG9XE8dxHMdx\nHMdxuoD3AftJ2hdYB9iA4N5itKRRsb8wHngmxl8AvAl4Jjqm3zBtMGmAqbzyyjJ6e3uZNGlS5jt+\n+vnwPe/t7aWvry+/gUgza+kPGAc8kTh/P/Ar4CFgXAzrAR6Kx2cTvNdX4j9ciVcl16ZMmWLTp0+3\n6dOn2+mnn26zZ8+2CrNnz277/PTTT89UXvIcMJgd/8hcfvK8cpyXfDPL5f7nLf/000/vLz9Tpkyx\nUMxbK+fN/gHfAr4KPAeMimG7ANfG4+sIM5IAVgOeqyGn3w5CmTq9v0yB9ZetrJ9LddnKWn7aeRHl\nuFY5KTK9ovPbSTvI4i/qmzmV+zRgSzbIroYKqyczDz3LLjMvuXnI7DYbsGgHYLbuupvZggULMr8n\nZvmVi6LkexrN0W12MFAHf9tOOOHrLeW51fs6kPbsmvV/3jpkdb3rMEARNkBw/3JVPL6k0gcGfgD8\nazw+Evh+PD4EuLiOPAOz9dabaHPnzm0571nWMVnJKqNOWcoqo05Z20C7xnIzsFU8nk5wRHwqcEIM\nmwacEo/3JUzxq3Swb68hM5MbVY88X9hZvnyGYjg0brq98QRsAoyOx+sAt8Sy3tbLI1l2anVy86CI\n51GGNEdiut3YicgDH1DKnm7RNW8bIPjMuIzwYe1PBL8xY4EbgEeA6yvvixj/TOAxoA+YXEOmDyh5\nGpnSje8CH1AaPoM5ZdChAwNKbyY4qn809g/WiOFrAZfG98DtwKQ68nxAqUtllVGnrG2gZR9K0O9H\n6SfAGsATwOGEWReXEqbwzQcONLNlMf5ZwN7AS8DhVuU/KcaxdnTqNL7eunzk6S9A0rYEp9uj4t8l\nZvYdSW8GLiZ0Ju4BPm1mr0paC7gQ2AFYDBxiZvNS5PbbgftQcrKgG/1m5FnG3YfSyKMAf3rnAzeb\n2XmSVgfWA74OLDaz0ySdAIw1s2lx59ujzeyjcWfQM8xslxSZ5j6UnCzpxneB+1BysqTbbADch5KT\nLWXyoYSZ3Qu8J+Un39nHGRGY72riOI4z4vGdbx3HcRzHGYmM6rQCnaDiqCrnVPJPoYB85J1GMc/C\naZROPI9OlYGRlq4TyOP+j2SZecntQjvZAnhe0nmS7pb0I0nrEnxFLgIws4XApjF+/3bRkacZ2Eq6\nUIbDe97TcOrR/n1t9/r2dciibLgOTpb3LytZZdQpS1ll1Clr2pqh5DiO4zhlp6dnEosWPQnA2LHj\nWLJkYYc1coYhOe58O5VXXnmBmTNnMmHChMx39unr68t1p5m85Sfp9E467Z739fVlLr+vr49ly5YB\nMG/ePPIibod+AWFDnteBH5vZmZLGEvzGTATmAQeZ2fJ4zZnAPgRXGFPNrC83BR2nAKJri1uANQnv\nhcvNbIakSQy4wrgb+IyZvSZpTYLdvAt4nuB/dX4ndHecVmnLh1IeuA8lJ2u6da20+1BysqTb7CDL\nd0Favew+lEYeOfvTGwfcZmZbxPP3EwaU3gLsZmaLJPUAs81sG0lnx+NLYvyHgV2rl7y5DyUna/Ky\ng1i+e8ysT9L6wB8JSzsPJwM/Yu5DycmKAvzprWtmL0taDfgdcAxwHGFw6TJJPwD6zOyHkr4AbGtm\nR0o6GPhHMzskRab7UHIyI2sbGJFL3hzHcRzHcbIiDgQ9JWmrGLQ7Yae3q4CpMWwq8Mt4fBVwGICk\nXYBl7j/J6WbMbGFlhpGZvUjY7XA8YVBpVow2K55DlR8xYHQcmHWcrsbMXo6HaxFmKRnwIeCKGD4L\nOCAeJ+3jcsK7w3G6ihE5oFTM+sP80xgO6/nLuhZ0pNKJ59GpMjDS0nXyo1t8COVV9rpJ15z5EvAz\nSX3A9sB3gVOBPSU9QugonAJgZtcAcyU9DvwQOLIzKg+P97ynUS7i8p7JhK3QO+5HrP372u715fAd\n5DoUg6RRku4BFgK/Af5M+GiwMkZZwEBZ77cDM3sdWCZpo7x0K6M/nzLqlKWsMuqUNW37UJI0CrgL\nWGBm+/kaUWck4T4DHKfbWCMuY3CcbPGdbx0H4nK3y4FjzOzFsFQnPWpKWE0/YjCfW299ld7e3qb9\niLXjxysMJg000zrl56vd68ty3q6fsFauL8qPWIU4cLSDpA2BXwDbpEWL/6vtILnOsoqpvPLKMnp7\ne5k0aVJL/vQqZPFci/CP5/nLJn+9vb309fXltlSybR9Kkr5MGCTaMA4oXUKba0S7eY2yr7cuHzn7\nzcjNZ4D7UHKyxH0oNe8vyX0oDS+6zQbAfSg52ZNzm2h14FfAtWZ2Rgx7iAz8iLkPJScrinwXSPoW\n8DJwPKG/sDIuc55uZvtIui4e3xF9Lj1rZpumyHEfSk5mlMqHUpydsS/wk0Twh/E1os4IwX0GOI7j\nOI7jAHAu8GBlMCnifsScEYOkTSSNjsfrEGaoPgjMBg6M0aYw2A6mxOMDgZuK09ZxsqFdH0qnA18j\nDt9L2hhYWoY1ovWonjaWUyr5pzAM1vMX8yyKoWw+A1qhE8+jU2VgpKXbKSTNk3SvpHsk3RnDxkq6\nQdIjkq6vNL7Kz1pIoqdn0qDQPJ5pt8jMS2432kn0m3G3pKvi+SRJt8dyflGcvYGkNSVdLOkxSbdJ\nmtBJvYfDe97T6DyS3gd8CvhwrO/vlrQ3JfAj1v59bff6cvgOch0K4Y3A7OhL7w7g+ljWpwHHSXoU\n2Ag4J8Y/B9hE0mPAsTFebmR5/7KSVUadspRVRp2ypmUfSpI+CiyKS312qwSz6lrQFtaIOk53kY/P\nAMcZFqwkLHdYmgibBtyYWBJ6Ijk3orJhBWAsWtRVq6ac4jiG8CV6w3h+KjAz4QLgs4SO82eBJWa2\nZXQBcBqwigsAx+kmzOx3wGo1fnY/Ys6IwMzuB3ZMCZ8L7JwSvgI4qADVHCc3WvahJOm7wKeB14B1\ngA2AK4GP0OYa0SlTpvSvDR0zZkxLTsc6dR7WW88GdgPE7NmzS6XfSDivdr43a9asXNdK5+UzoGIH\nM2bMIEwGnEzYdTT4dZk9e3ap7rufl+u8aDuohaS5wLvNbHEirL/cR/uYY2Zvq7qulD6U3IdZ95Kz\n75jxwHnAd4Djok/JvxBmqw7VHlpoZm+oIdd9KDmZ0m2+xNyHkpM13WYD4D6UnGzJ2gbadsoNIGlX\n4CsJp9z/a2aXxC9y95rZ2ZKOBN4ZnXIfAhzgTrmdIsj7xSHpAuB5MzsuEXYq4Qv0qZKmAWOiU+59\ngaOiU+5dgF53yu0UQacaUJKeAJYQCu4Pzewnkpaa2dhEnMVmtnHVdT6g5GRKzgNKlxEGk0YDXyFs\nzHCbmW0Vfx8PXGNm20m6H9jLzJ6Jvz0G7GxmS1Lk+oCSkynd1pn2ASUnawr4uHABGe/+7ANKTpaU\nyil3DUqxRrQela/5OaeSfwrDYD1/Mc8iP/L0GXDttddy7bXX5p6HJJ14Hp0qAyMt3Q7yXjN7N2ED\nh6MkfYBhtswzj2faLTLzkttNdpJ0AcDAsuaucQEwHN7znoZTj/bva7vXl8N3kOtQCK8RZqm+HfgH\nQrvnbQws9d+a4Hj7RACF3Z/fYmZbAp8Hzs5TuSzvX1ayyqhTlrLKqFPWtOxDKYmZ3QzcHI99jagz\nYsjTZ8BBB32XlStfblU1xykF0Sk9ZvYXSVcCOwGLJI1LLHl7Lu3aqVOnZrb8Ob1DMIewPLne72nH\n+S9b7Ovry1x+X19fqZZl5p3/6mWfOfI+YL84A7XiAqCXsIvnqLhRyXjgmRh/AfAm4Jm45G3DKh9j\nVUzllVdeYObMmUyYMCFzNwB5l4siyl2FTpfbMpT76vMC7cBxRjyxzVNp97wYXWBUdn/eNUabRfCP\nMo2q3Z8lja60jwpX3nFaJJMlb1niS96crOm26d1Qmdr6J8Ks2I/iS26cdumEHUhaFxgVG1XrATcA\nMwiz9ipLQk8AxprZtKprfcmbkylF2ECWLgCiPF/y5mRKt7WJ8lzy1tMziUWLngRg3LiJLFw4rzpt\nvE0//CjKBhR2f54DvBN4Km2pv6SrgZPN7Pcx/EbgeDO7u0qWL3lzMiNrG8hkhpLjOI7jpDAO+EXc\n9XB14GdmdoOku4BLJR0BzAcO7KSSjpMT04CLJf0HcA+DXQBcGF0ALMZ3eHOcjhAGkywed80Ym9MF\n+O7PzkgiDx9KpaeY9Yf5p1FEPvJOo5hn4TRKJ55Hp8rASEu3E5jZXDObbGY7mNm2ZlbxJbbEzPYw\ns63NbE8zW9as7OXLl3P44Udy0EFHcPjhR7J8+fJV4vT0TIpfmPMlj2faLTLzktutdmJmN5vZfvF4\nrpntbGZbmdnBZvZqDF9hZgeZ2ZZmtouZzeukzsPhPe9pdB5J50haJOm+RNhYSTdIekTS9ZJGJ347\nU9JjkvokTc5Tt/bva7vXl8N3kOtQDHH358uBC83slzF4kaRx8ffkUv/KEugKyeXRVUzllVeW0dvb\nS29v76B7MWfOnIbOK2GNxq933tvb29b11bq0q4/nr/Z5b28vU6dO5aSTTuKkk04ia3yGkuM4jtN1\n3HvvvVxyyY387W/TWGedUzj88EP44Ac/OCjOwNdn//LsOI6TM+cB/030BxOpOCI+LS5vPhGYlnRE\nLGlngiPiVXa8dZwu5VzgQTM7IxF2FTCVsGnPVOCXifCjgEvi7s/LavtPOp8115zEscceu8qStwF/\nkfXPK4MMjcbvtnPPX/r5scceO+h8xowZZIn7UMoYX29dPrrNXwC4DyUne7rNDoZ6F9xyyy3st983\nWb78FkaP/iBXXfXtVQaUBurjrH0orQ2sANL9bjjlpNtsANyHkpM9OW+ZPhG42sy2i+cPA7smNmCY\nbWbbSDo7Hl8S4z0E7JbWkc7Th9JQbXZv0w9PcraB9wG3APcTCo8BXwfuBC4lzEaaDxxYmZ0t6Sxg\nb+Al4PBq/0kxjvtQcjKjND6UJI0nfIXoAV4HfmxmZ0oaC1wCTCT0hg8ys+XxmjOBfQgGMzVuses4\nXYukc4CPEbaMrjSg3AYcZ1izAve74TiOMySbVgaJzGyhpE1j+ObAU4l4T8cw39nK6Wry3P3ZccpK\nOz6UXgOOM7O3A/8AHCXpbQxMb90auIkwvZXp5nsXAAAgAElEQVTk9Fbg84TprR0huaYwx1TyT2EY\nrOcv5lnkynnAXlVhpbeBWnTieXSqDIy0dJ28WAtJ9PRMylRqHuUkr7LXTbrmhaTxkm6S9KCk+yV9\nKYaXwodMPYbDe97T6DoKdUTc/n1t9/py+A5yHZws719WssqoU5ayyqhT1rQ8Q8nMFgIL4/GLcbrq\neGB/YNcYbRYwm9DB3p+4rtrM7pA0WtK42utEHaf8mNmtcYp3ErcBxxkxrABms2jRhzqtiNNZKh/Z\n+uLuPn+UdANwOO5Dxhm5LKq0c1p3RAzB5cx8br31VXp7e5k8eXJNnyJp5319fXV8kMwZlFL67301\nf2/0vNPXl+W8r6+v8Ov7+vpYtizs/TFv3jwcx8mWTHwoSZpEqHHfCTxlZmMTvy02s40lXQ2cbGa/\nj+E3AsdXrxN1H0pO1uTtNyPFZ8ASM9so8XtTNhB/cx9KTqZ0m/+YVn0o9fRMis64K+ThQyk9zG2y\n3BRpA5KuBM6Kfy37kHEfSk7W5Ow/ZhKhPbRtPD8VWGJmp0qaBowxs2mS9gWOMrOPRkfEvWaWOqDq\nPpScrMnZBnJxheE+lJwsKY0PpQrxS9zlwDFxplKt2rbh6a1Tp07tN5QxY8Y0/SWik+eBOUA59BmJ\n5yX+EtHkFO+vA+vF414guSJijf7t0MeNm8jFF58PlOs5+LnbQScY2NkNfHc3pxPETvVk4Hagfxaq\n+5BxhjOSfk5o/G4saT4wHTgFuEzSEURHxABmdo2kfSU9TnRE3BmtRw7Jjy2+mUSu+G6HzsjDzFr+\nIwxIXUcYTKqEPURoQEFw2P1QPD4bODgR7+FKvCqZljezZ8/OTTZgYAazLe+85JmPotIoIg/xObRV\n1uv9Eb443Jc4b8sG4m8GfzL4daJMJcvX4LCsKOJ5lCHNkZhu3naQ9d9Q5frmm2+20aM/YGA2evQH\n7Oabb+7P51D2kn1Y9vV9HuUkr7LXLboWYQPA+sBdwP7xfEnV74vj/18B702E3wjskCLPwGzddTez\nBQsWZH5PzIbHe97TaJxufBeEuvbbdsIJX28pz7Xu61BtqSzb9O0+23avH3hXpee1CB2ykJGFDh3o\nF/S394foF/T3H1JkGpitt95Emzt3bst5z7KOyUpWGXXKUlYZdcraBtqdoXQu8KCZnZEIu4qw2PnU\n+P+XifCjgEvi9NZl5r5jnOGBGDwVwm3AcRxnhCFpdcKM7QvNrFLvZ+BDZiqvvPICM2fOZMKECZnP\n2q7nX6Yb5Ccpw+zQds7b9S/js1Udp5T4bofOsKZlH0qS3gfcAtxPWF9ghDU6dwKXEhpK84EDzWxZ\nvOYsYG/i9Far4TumVZ3KgK+3Lh85r5Xun+JNeAFMB64ELqNFG4jxbCgfSl7OnGYYKT6Uquvg4nwo\nrU1w0O3LCcpKAf70LgCeN7PjEmFt+ZBxH0pO1nTjuyDNh1IWS7hGkg+l4ZSXdimRb9VfAd+1wb5V\nv2Zm96TINJjCGmtcyZFHBtcw3eQSxs87e97b20tfX1+/S6EZM2ZkagOZOOXOEh9QcrKm2xpP4ANK\nTvZ0mx1034CS22TZyfnjQm4f2XxAycmSbnwXpA0oZdHezmJAqTKwVfYPCWXon5TFj1MHBpT6N10Y\nYnOGh4mbOKTINHfK7WRF1jYwKitB3UT1FOmcUsk/hQLykXcaxTwLp1E68Tw6VQZGWrpOnszJXmIO\n5SSvstdNuuaFmf3OzFYzs8lmtoOZ7Whm15nZEjPbw8y2NrM9K4NJ8ZqjzeytZrZ9rdmqRTAc3vOe\nhlOP9u9r7esrG0EM3l10gJ6eSUhCEj09k1rXIJOy0Z6MdnUI92g29e5X3joURC1XGLCqK4zDAIpy\nhZHl/ctKVhl1ylJWGXXKmhE5oOQ4juM4juM4jpMnAzuPzk4dRMlqwMkpB9EVxu+BrSTNl3Q4YbfD\nPSU9AuwezzGza4C5cbfDHwJHdkhtx2kLX/KWMWWYUuoMptumd4MveXOyp9vswJe8OVnTbTYAvuTN\nyZ5us4OyL3kbiDPU762nkQVl6J+UQYeKHt1kA9DYkrdaSwrLstTQKQ++5M1xHMdxSs1aSGK11dbz\nr86O4ziO4+RCcobbwGy4wUsKa4U7TlYUPqAkaW9JD0t6VNIJRacP7kOpUYqYhlvWtaB5UgYbqIX7\nUBq+6ZaNrO3ggAMOiV8/O8GcqvMVgLFy5cu02oDrJr9E3aRrmSjLu8B9KI2sNMpGEXaQpw+lomQM\nBx9KeerQzUsH27GB5GDRYNbqvx+DWSOzezTcfQwN9/xlSaEDSpJGAWcBewHvAA6V9LYidQDo6+sr\nIpX8U8g5H6GSOp08R7SLeRbloSw2UItOPI9OlYGRlm6ZyMMOli59llUbVEWR/TPNo5zkVfa6Sdey\nUKZ3Qd73uohn6Wl0J0XZQfv3NYvn0p6MbMrG8NWhW2fh5GcD4cPWqu2iVwn3aGH/gFNlNnW947QB\nqKzqqyzrvTLKKqNOWVP0DKWdgMfM7EkzexW4GNi/YB1YtmzZ0JHaTyX/FIZBPorJQ6nIwQbWyuxr\nQyeeR6fKwEhLt2SU4l2QHUM907VWaaANZa95lJO8yl436VoiSmMDed/rIp6lp9G1FGIH7d/X5q5P\nzpapJaMSp2ENMikb7ckYPjqUiqZt4D3v+UCN2UfNMDDgVJlNXe84bZAuq2eR5TMto6wy6pQ1RQ8o\nbQ48lThfEMMcZ6SQgw2El0Lya0O3Tfd1Rhwj7F2wasMt7etg0m6/971et+XhzQizAcdJpXA7SB/s\nyZbay5DS4jjNUHk3DqP3Y9M28PzzCxiqfGXPWqn3PWlPQ81ocoYvRQ8opdXeq1hDpTB+5jNTc1Fi\n3rx5ucitSiX/FIZBPorJQ6loyAYA1l33eNZe+7QmRA90Wiud1WamrkJ4HkWvQ+9UGRhp6ZaMhu2g\nFqNGjeLvf3+Y9df/FH//+8MZqdUq81q4pv4g00svLV8lrGKPaQ24Ru07D/KQm5RZye8wa6A2bAPr\nr/8pXnllCaNG5dNky7tOKqLO8zS6lobsYP31P8Waa17Kaqs1bgPJevLUU7/XH97IYM+qzGsibj4y\nsikb3a9D5d3YbUvb6tDku+AvOatTi1X7GDNmzBhkT4NnNDW+pG7GjBlN91dqDWQlbb1dsqqPs6zX\ny/qOUJFbNkraBTjJzPaO59MAM7NTE3F8uN7JnLJsD9qIDcRwtwMnc7rJDtwGnDzoJhuI4W4HTuZ0\nkx24DTh50E02EMPdDpxMydIGih5QWg14BNgdeBa4EzjUzB4qTAnH6SBuA47jduA4bgOO43bgOG4D\nznBg9SITM7PXJR0N3EBYbneOG4wzknAbcBy3A8dxG3ActwPHcRtwhgOFzlByHMdxHMdxHMdxHMdx\nup+inXL3I2lvSQ9LelTSCSm/rynpYkmPSbpN0oQc0pgi6TlJd8e/I5qUf46kRZLuqxPnzJiHPkmT\nW8hD3TQk7SppWSIP32xS/nhJN0l6UNL9kr6UdT4aSSODfKwl6Q5J98Q0pqfEabtM5c1QZbYJOfMk\n3Rvvx50xbKykGyQ9Iul6SaMT8VOfb7SRR+M1hyXCd5R0n6Tlkl5Kls+c0nlUUm8MOyfa7V8TaXxX\n0oJE+dk7IePEmOZDkj4y1L2WNEnS7VH2RZJWj+Fvjra4IuZ5ekH5HS/pFkkvxrQfkjRa0vQC8twR\nm+mUHdSRs0o93Mpzb0Bm08+0SmZqXduOrikyv9iurqpRX7dTDuvIPE/SEzH8bknbNfOcOkWGNpB5\n2U1JI/Nyl5JG5mWmRjqjYjm5Kif5mbybh0hjtKTLov39SdLOWaeRF62UpRpyGnqOda5v6h6mXP9l\nSQ8ovM9/FstLXR2ysNUaMk6L+eiTdIWkDRO/Daqr065PxP2qpJWSNmpWhxj+RYU67X5JpzSjg6Tt\no53dI+lOSe+ppUMrZahMNlCNmnwXZJ3/Rm1JQ9SJzdpULZ2asa0UnS5OKVuttuGXS3pN0vxEeMO2\nlgi/LspZUf181aDN1dMp/taQ7SXCm29/mFnhf4SBrMeBicAaQB/wtqo4XwC+H48PBi7OIY0pwJlt\n5OP9wGTgvhq/7wP8Oh7vDNyeQxq7Ale1kYceYHI8Xp+wjrf6PrWVjwbTaCsfUca68f9qwO3ATlmW\nqbz/GimzTch6AhhbFXYqcHw8PgE4pd7zBcYCfwZGA2Mqx/G3O4CdYvn8LfBEnunE42uAvWKa5wHP\nJtL4LXBcyn3YBriHsLx3Ury/qnevgUuAA+PxD4DPJ9K5JB4fBrwAvK2A/PbE/B5PsJ+/AD8CpheQ\n58Jtpp6eedrBEHJWqYebfe4NymzqmabES61r29G1jsx2da2ur3dutxzWkHke8ImUuG2/n7vEBjIv\nu0WUuyaeb6Z1F/Bl4KfE9kgO8tt+NzeQxvnA4fF4dcK7JtM0ciz7TZWldp9jFvcw5drN4nNeM5H2\nlKF0IANbrSFjD2BUPD4FODkev51V6+rUPgcwHrgOmAts1IIOuxGWdK0ezzeJ/9PeF2nXXw98JJHu\n7Hi8b7UOzZahWvkowx8tvAuyzj8Z1YlkUC/RpG2l6HRjStlqtQ2/F/ABwvZ3lTZ8M7ZWaZcviGnd\nx+B2eTM2V0+n3Wjc9ur2FeqWuw4ZyC7AtYnzacAJVXGuA3aOx6sBf8khjSnAf7eZl4nUHuw5Gzg4\ncf4QMC7jNHYFrs7w2VwJ7J5HPoZII7N8AOsCdwHvybJM5f3XSJltQtZcYOOqsIcrz43wwnmo3vMF\nDgF+kAj/AaFC7gEeTIQfDSwuIJ3+eLGyezCRxl+Ar6Tch0H3ELiWUAnXvNdRVuWF0B8vpfysILw8\nishvMo1rgfmEDn3Rec7dZurpmZMdPNygrEH1cLPPvUGZTT3TBnS+spUy2oDM3bPSlYH6eifguSzK\nYULmewgDSv+UEifT91pZbSCvslt0ucu7zMR444HfEBrglc5TpnUjGbybh5C/AfDnlPBcn3mOtlCr\nLNWstxt8jtdlcA9TdSB0ep8kdPJWB64C9kwpq6voQAa2Wi2jSv4BwIXxuFZbYZXrgcuAbRncuW1Y\nB0KH/8Mp+jSkQwyvDBgcCvy00fJbpwyV3gbI4F3QTv7JqE4ko3qJxm2rpk4pZavlNnyUtTgZr0lb\n2yUeTyQMKCXb5Q3bXD2daN72WipznVrytjnwVOJ8QQxLjWNmrwPLklO+MkoD4BNx2tilksY3Ib8V\nHZ6uoUO77KIwDfTXkt7eqhBJkwgjt3dU/ZRZPuqkAW3mI07LvAdYCPzGzP5QFaXdMpU3jZbZRjDg\nekl/kPS5GDbOzBYBmNlCYNMh0q313DePcSo8y2AH/5vmlE7yfrwBeC2RxnrAUdGWf5KYslpP9iq6\nSNoYWGpmK1PSTF7zJsIo/iPkd1+TaY8zs0XRfraJ+aXIPBdoM0XbwRtalN1oOW+2vmzmmdYkUdfe\nTuNltK7clPq7ZV2r62vC17Vl7ZTDOu+Ab0c9Z0pao5W8F0yWNpBGXmU3l3KXkJ15manidOBrhHqD\nnOrGdt7NjdynLYDnFZZ63i3pR5LWzTiNQhiiLNWrtxt5jpvVub7Re5iqg5k9A8wkfPh5GlgO3M2q\nZbWeDhWyttUjCLOfG5Yh6ePAU2Z2f9VPzeiwFfDBuCxptqR3NSnjy8D34lKe04ATG7k+z/qoINp6\nF2SQ/6zqxEzqpSZsq6ZOhJlRSdrts7xK+jNpxNZqtcsbtblGdGrW9loqc50aUFJKmA0RRylx2k3j\nKmCSmU0G/g+Y1YT8rHRolz8CE81sB+Aswkh000haH7gcOMbMXqz+OeWSpvMxRBpt58PMVsbrxwM7\npwxKtVum8ibL8vJeM3s3YTrwUZI+UEdWrftSS5+08EbIIp1aefg78JZoywsJL5y0NIeSrZTfKmkK\nBpXj54EX6+iUaX6T9hODvk9BeU7JQ550yg6yoh39m32m6QqsWtc2WkZryk2R2ZauVfX1ToSB0lrX\nNVQOq2XGd8A0M9uGMFtpY8KU9ob17BCd0q2tdPMod4Mi5FBm+n+UPgosMrO+xLV51I3tvJuT6ddi\ndWBH4H/MbEfgJcIX5kyfRd40UZaqr2v2OabR7D2s1mEMsD9hpsBmhA9A+6REbec+N/3cJH0DeNXM\nLmpUhqR1gG8QZqS2o8PqwBgz24WwfP+yJmV8gVAWJhAGl84d6vq866OCaFm3dvOfcZ2YSb3Ugm21\n04Zttg0/ELFxW0sLH0XjNteITs3aXktlrlMDSguApLOu8cAzVXGeIswCQNJqwIZmtjTLNMxsqZm9\nGk9/DLyLbFlAzEMtHdrFzF40s5fj8bXAGs3OIFBwXnY5YWreL1OitJ2PodLIIh8JWS8Ac4C9q35q\nt0zlTSN20RBxlB0z+wthcG4nYJGkcQCSeghTRCvppj3fWvpUx38jcbZQJK90kvfjOeKsqJjGIotz\nMwm2vFMraZrZ88AYSaOq4ldkTSKU458Cq8XyU0R+FxIGwC8kzA55zsz+UlCei7aZTtlBszT73BvR\nt9lnugo16tq2dE2TmYWuUc4LwM2EadaZlMOEzL0TXx5fJSx/a0nPgsnMBmqQednNo9zVIo8yA7wP\n2E/SE8BFwIeBXmB0lnVjRu/meiwgfNm+K55fQejI5fIs8qDJslRNs88xjWbvYTV7EPxKLomzIn4B\nvJfaZbUemTw3SVMIg5ifrMrnUDLeQmj33Ctpboxzt6RNm9ThKeB/AeLM0dfjbJdG67opZnZlvP5y\nwgeCmnkosj7KmZbeBRnlP8s6Mat6qVnbWkUngv/TJO224ddIpNesraU931do3ubq6dSs7bVU5jo1\noPQH4K2SJkpak7D276qqOFcTfBwBHAjclHUaseBU2B94sMk0IH20tsJVBOe9SNqFMCVvUZZpVIwg\nHu8EyMyWNCn/XILvljNq/J5FPuqm0W4+JG2iuOQiflGprBdO0m6ZyptG7GJIJK0bv0wgaT3gI8D9\nUdbUGG0qUHnJ1Hq+1wN7KuzMMJawTvn62CB+QdJOkgT8E4Mr6LzSOSwh60bCGmoIz/TGRPqfAB5I\npHmIwk4PbwbeCtxJ+r2uyL6JUD4qspP6n0eoJxYyUH6KyO/rBId6Z1R0qqq/8sxz0TZTpB0k8zqk\nSAbXw80+9yFltvBM00ira9vVdRWZ7ehao75+EJhNi+Ww1jugome0qQOq9Mzi/ZwHmdhAgjzKbjV5\nlLuBDORQZpKY2dfNbIKZbUG43zeZ2aezkh/1zurdXC8fi4CnJG0Vg3YH/pRlGgUwVFmqWW+38BzT\nZDRyD+vJmE9w4bB2rHcq1zeiQxa2Wv1e2ZswM2E/M1tRJTutru6/3sweMLMeM9vCzN5M6GzuYGbP\nNaMDA773iPd1TTNbHGUcXE+HyNOSdo3X7w48NsR9yLU+KpBW3wVt5z/LOjHDeqlZ20rTqV0b62/D\nE5bPrR/DWrG1P8Tj8YQxmUOAH7dgczV1onnba63MWeccje1N8D/yGGFKOsAM4GPxeC3g0vj77YSl\naVmn8V1C4/IewpK3rZqU/3PCqN0KQiE/HPg88C+JOGcRHAjfC+zYQh7qpgEclcjD72nAUWuV/PcR\nOqt9Ucbd8b5llo9G0sggH9tGuX0Ex2bfyKNMdcIuWpDx5sS9vj9R9jciDLw8QvA/MWao50uoXB8D\nHgUOS4S/K8p+gbDsK1k+x+aQzmPAGQmbeBZYSVgn/CfC15PKDglXknCoSFhr/zjBed1HhrrX8f7d\nEXW5BFgjhu8W01xBmK77QJSRx31N5rdiP38lLO17gTCId0EBee6IzdTSM287qCMrrR5uupw3ILPp\nZ1ols1Zd23QZbUBmy7pSu75uuRzWkfl/MW/3RZ3XbeY5deovCxvIq+wWUe6KKDN10tqVAQe0mckn\nw3fzEOlsT+gU9BG+TI/OOo0cy33TZamd55jVPUy5fjqh/ruP4E5jjaF0IANbrSHjMYIj47vj3/cT\nMgbV1WnXV+n4BNFBcJM6rE6YYX0/waH+rs3oQJiFclcsE7cROtipOrRShtLyUZY/mnwX5JF/MqgT\nyaheognbStHplyllq9U+ywuE1Rmv0oKtJcJnRzkrCT6emra5IXRq2PZaLXNmFrbydRzHcRzHcRzH\ncRzHcZxG6dSSN8dxHMdxHMdxHMdxHKdL8QGlkiDpBwpe4TuV/nmS/r1T6TtO3gxVxiWtlLRFkTo5\nTplwG3C6FUnTJV0YjyfGslx4G1fSrpKeGjqm4+RDJ23By79TJF7eyoMPKBWApHmS/q6qXcsk9cWK\nfoKZfcHMvtOi/F0kvRidPFb/drekI1vV3XGypBFbGOL6NSTNlPSUpBck/VnSzHrXNIGv/3XqImmq\npPskvSTpGUnfrzgKzjndeZJejmX+WUnnSlo3h6Rq2sBQtlel41/j/55a8pzhQadsogZW4xhJe0m6\nOZbLRZJmS/p4AXo4I4QusoWPSboj9hv+IukCSZvllLbj9JNTW2aV8iZpjqQlktZoU7bTID6gVAwG\nzAUOrQRIeiewNhlUvGZ2O2FbwH9Khsc0tiE4uHOcMtCuLXyd4HTx3Wa2IfAhgtPBLKi1W6PjIOkr\nwMnAVwhbz+4CTAR+o7BFb54Y8NFY5nckbJn8zWaFKGybWzdKnd+Gsr1+Hc1sg/h/YbM6Ot1DUTbR\nQLkd6vp/JjhmPR/Y3MzGAd8CPta+do7TdbbwM+B0YGPgHQQHvr+VtGH7GjpOXTJpy9RD0kTg/QQn\n1/sNEdfHQTLCb2RxXMjA1oXE41mVk+RyHEkbS7pa0lJJiyXdnIg3XtIVkp6LXxbOjD9dQNxKMMFn\ngF+b2bJ47aVxRHhpHL19ew75dJyhGMoWNoxfzJ6TNFeDl4K+G/iFxS1dzWy+mf00ce3b4pfnpZLu\nr/cFWtLX4lfEBZIOx7+qOTWQtAFwEnC0mf3GzF43s/nAQcAE4NMKywwuk3Rx/Pp2l6TtEjLeKOny\nWK7/LOmLid+mS7pE0qx47f2SdqxWA8DMngWuBd6ZkPvL+K54VNLnquReJulCScuAKZJGSfq6pMcl\nLZf0B0mbJ9LZM8pZLOmsRHhd20vq6Ax/GrCJr8Uv0WMS1+wQ2y2rxfMjJD0Yy9q1SsxQVZixeqSk\nRwk79yCpV9L8RLl9f4PqzgRmmNl5ZvZXADP7rZl9PsqVpG/Gr+cLJZ1f6VxrYMnQYZKejPb79YSe\na8f4SyQ9QOggOSOILrOF7wH/bmYXm9kKC1uRfw54GTgmyu5fMhfPBy2bU5iJ9WB8Vz0u6V9avXfO\niGSVtkxsx1xVox2zZizvT8f2+umqP/PoMMJOgOcTdj4bSDj0tb8v6deS/grsFuV/L9bvz8bf14rx\nxyj0x5+Lul2tbGfzDRt8QKk4bgc2kLR1rJQPAqob4xW+QphxtDGwKeHLcGUk9VeEGR4TgM2Bi+M1\nFwIfkDQ+xhXwSRIddeAa4C1R5t2ErxSOUzRD2cJZwAbAJGA34DCFAZ/KtV+R9AWFmU39KHwFvBq4\nDngD8CXgZ5K2rFZA0t7AccDuwJbAHpnlzhmOvJew/ewvkoFm9hKhvO0Zg/YjbFk7FrgIuFLSarE+\nvpowo+eNhHJ3jKQ9E+I+TphNOjrG/Z80RSS9CdiXUIdDeAfMB3qAA4HvSvpQ4pL9gEvNbAyhzv8K\ncDCwt5mNBo4gdCYqfBR4FzAZOEjSR2J4TdtzRiRD2cS2wO8ZPHP6UOAyM3td0gHANOAAQn39W4LN\nJNmfMEBT+fh1J7Adwb5+Dlwmac16Skp6GzAeuKJOtMMJnZBdgS0I75+zquK8j4F3xbckbR3DTyJs\nWf1mYC8GfyxxRgbdZAtvAi6v0tMI9vGRZHDV5cnzRcC+cZbJ4cDpkibXS9txqkm0Ze4hlPda7Zhv\nAjsRyvv28bjerKbDCH2KnwN7SXpD1e+HAv9hZhsAvwNOA94a5b+V0Lf+Vow7CjiXYDcTCG2l6neD\ngw8oFU1lZsaewMPAM6R/0X2V0Ol4c/zS8bsYvlMMP97M/m5mr5jZ7wHMbAFwC/DpGHcPwgvumopQ\nMzvfzF42s1eBfwe2j19WHKdo0mwBYHXCANO0WFafJHxd/kz8/WTgFMJg6R/i14rKzLxdgPXM7FQz\ne83MZhMGYPuX1yU4EDjPzB4ys78ROgWOU4tNgOfNbGXKb8/G3wH+aGa/MLPXgf8i1MG7EDoCm5jZ\nd2KdPg/4CXBIQs6tZnZ9bNxfSGjcJLlS0hJCPT8bODl+QHgvcIKZvWpm90a5n0lcd5uZXQ1gZiuA\nzwLfMLPHY9j9ZrY0Ef9kM/urmT0V06l0FOrZ3iAd49//pt1IZ9gwlE1sTGjQfzIRfggDH7L+hVDW\nHo0yTgEmx05Ghe+a2fJYbjGzn5vZMjNbaWanE+xra+pT8df3bJ04nwT+y8yeNLOXgROBQzSwHMKA\nk2Kb6z7gXkLHBsK75NtRz6eBM6uFO8OebrGFjRM6pelZ3fFOxcyuje8wzOy3wA3ABxq51nFYtS3z\nY8KA/fE12jGfJMwwXWxmi4EZDG7j9BNn6k0gfES7G3icwXYH8MvoKqbSJvoc8OVoXy8R7O/Q+PuS\n2KZbEX87mfDhwanCB5SK5aeEgj2VsEQN0pfZ/CfwZ+CGOJ30hBj+JuDJGi8tCLORKg38TwM/jx0b\nFJY5nBLlLSPMcjIGOkKOUyRptgChPK5B+FJR4UnCFwNi4+kHZvYBYAzwXeDc+LV4M8LMPtKuraI6\n7pP4ch2nNs8Dmyh9vf0b4++QKFNxYOhpQlmbCGyeGGxZSui0bpqQk/Q39DKwdlV6+5vZRmb2ZjP7\nYmwIbQYsiZ3gCtVlvtom3gQ8USevi6r0WD/mp57tVeu4kZl9ok4aTvfTiE1cAfyDpB5JuwIrEx/I\nJgJnVGwCWExokyTL7oKkUElfiUttlkYb2pCh2zCLEzrVYjOC3VR4kvBxY1wiLNUu4rVJPZNynJFB\nt9hC5T2VZgtvBP4yxPWVtPeRdFtcAkq4AgEAACAASURBVLQU2KeBtB2nwqC2DEO3YzZj1T5BrWVn\nhwE3JD6SXcSqs0b720Rx9tK6wB8T9nctcfBV0jqSfqiwHHoZcDMwJs46dxL4gFKBxDXVcwmVb82v\nt2b2opl91czeQlgGcVyc+vcUMKHGS4soc3NJuwGfYHBH/ZNR1ofj0odJhA60G4VTOHVs4S+EGXoT\nE2ETCR3zahkrzOz7wFLCNPBnCF8mkkxIu5bwNS759W8i7kPJqc1twApCvdqPws6a+wD/F4PelPhN\nhKU2zxDq7icSgy1jzWy0mTWzy1RaXf0MsJEG7/BZXeary/V8wtLnlkmxvXo6OsOToWziRjNbDlxP\nWGJ5KIOX8cwHPl9lE+tXvhxHLCH3/cDxwD/HuGOBFxiizJnZI6RsWlLFM6z6znmVwYNItUh7lzgj\ni26yhQWEWXVJPUWwjzkx6CVCJ7vCGxNx1yQsmTsNeENM+9qh0nacBNVlZah2TFr9/AxVSFqbsMJh\n1+gL6VngWMJqnG0TUZNtoucJHwjekbC/MRbcAUBwEbAl8J7Yd/5gjTyMeHxAqXiOIAzq/C2er1Io\nJX1UUqXB/yLwGvA6Yc30s8ApktaVtJak91aui6O7VwDnAfPidL8KGxBeeEuj0Z6Md6CdzpJmC68D\nlwHfkbS+wm4NXyYsAULSMZJ2VXCEupqkKYQvxXcDdwAvSjpe0upxYPVjrOqLAMKOP1MlbaOwZem3\nUuI4DgBm9gJhmfB/K2w/vrqkSYRyNJ9YPoF3STpAwdHql4G/E3wP3Qm8EMtmpey+Q9K76yQ7ZIPF\nwlLn3xOWv62l4AT8s9T2zwdwDvAfkt4KIGlbSWOHSmsI23NGGA3YRKUMXkT4avwJBu84+0Pg64qb\ng0garbADVS02IAzyLFZwovqtGFaLpP18Bfg3SVMkbaDA+yWdndDxy5ImSVof+A5wcWI2eD1bvBQ4\nUcF563jg6DpxnWFIl9nC14BvSjok1uU9hHfCxgz4hukDPijpTZJGE/w7VVgz/j1vZisl7cNg30uO\n0xQNtGMuIpTZTSRtAvwbA22uJP9I6C9vQ1iSvH08vpVVN62qpG2EJXe9cbYSkjbXgO/IDYC/Edpv\nG+HuMWriA0rF0D9wY2ZzqwZ60gZ1tgRuVPBA/zvgf8zslti4+Xj8fT7hq9tBVdfOIozszqoKvyBe\n8zTwAMF4HadoGrGFLxK+GDxBWGP9UzM7L/72N4JPpWcJs5m+AHwi+r54leCAeF/CV4ezgM+Y2WMp\naV8H9AI3EXZNqcwwcZxUzOw/CRskfA9YTvgq/SSwRyx7AL8kfIFeCnwK+EcLPpMqdfdkwsy85wiN\nmHrbNFuN42oOJTgEfobwQeHfzOymOvH/i9DRuUHScoKvgnUaSKem7TVwrTMMadAmriK0WRaa2f2J\na68k+Kq4OC4luA/YOym+KrnrCQ6OHyXY0MusupxzkHqJtK4g2OVnCW2ghYQBgF/GKOcSOii3ENwN\nvEzY1KGWLsnzGYS21dyo3wU4I44usoVLCf5njiMsrXuGsAnDrjawg+eNhM0l7gP+QNgkonL9iwTb\nuCwuDzqEATtynKGo1U6o1475NnAXoTzeG4+/kyLjMOBcM3vazJ6r/BH6Ap+qs7rnBIKvpduj/d0A\nbBV/6yXM1nue0G++JlWCg8LgXJ0I0jmEr/yLzCy5BfIXgaMIo+S/NrNpMfxEwsyD14BjzOyGGL43\n4cGMAs4xs1Ozz47jFIvC1pK3EL7YrA5cbmYz4tepiwk7cNxNGNh4LU4XvoDwAn8eODgu/3KcrkTS\nVoTGpxG+hG7BwBekSwjTk+cBB8Vp/0g6k7AU4CVgqpn1Fa95tkiaDrzFzFK/hDnDH0nHEBx8AvzY\nzM6Ms79GjB04Tuy43QUsMLP9vD1UXiTtQZgBsrsFh/NOg3j/2HEGaGSG0nmErVD7iUtJPg6808y2\nJYzII2kbwoyZbQiNpO/HqcWjCCOEewHvAA5V2L7Scbqa6Bj3Q2a2A2H2wT6SdgZOBWaa2dbAMsKX\nUeL/JWa2JeEFcloH1HaczLCwM80OZrYjoWPwEmH75GkE3xFbE2aCnQjBoSdh4GVL4PPA2emSHad7\nkPQOQv3+bsK74GNxWaHbgTPSOAZ4MHHu7aGSEmcjTSXsRuo0h/ePHScy5ICSmd1KmL6f5AvAKWb2\nWoxT2Tlgf8K689csbCn5GGGr+52AxxLLUi6OcR2n67GBnQnWIsxSMuBDhGmbEJYfHhCP92dgOeLl\nwO4Fqek4RbAH8GcLW84ny/osBur8/YnLQszsDmC0pHHVghyny9gGuD06LH+dMHP1HwnLcN0OnBFB\n9CO1L2EpbYUP4+2h0mJmvzazH3Vaj27D+8eOM0CrPpS2Ijhsu13SbEnviuGbM3gd79MxrDp8Aelb\neTtO1yFplKR7CH4ZfkPwwbAs4dAzWd77bSF2OpZFR2+OMxw4mAFno+MSPhkWApvG8Frvia7GzGb4\ncrcRzQOEdtHY6Oh/X8LuXyPKDpwRz+kEx88GIGljYKm3h5wRgvePnRHJ6m1cN8bMdpH0HsKuTFuQ\nvhOGkT5wleq8SZI79nQyx8xy2+IxNpR2kLQhYanPNmnR4v9qPUSKLbgdOHmQpx1IWoMwG+OESnK1\noqaEuQ04hZCXDZjZw5JOBW4E/krYKem1Ope4HTgdIw87kPRRgj+Zvrj0B0I5r07L20NOx8npXeD9\nY6dryNIGWp2h9BTwv1GZPwCvx68QCwg7jFUYT/DYXis8FTPL5G/69Omlk+U6FS+rKCxsHXszYS36\nmMSOAsnyvoDw1RqFrcU3NLPqKbMVeZn+Zfls8pTZTbp2i0yzQuxgH+CPNjDFe1FlCU/cmvi5GN5v\nA5Ga74M87kMR99rTKJ98s/xtwMzOM7N3mdluhKUQj1ISOyjjuzlLWa5T43858j5gP0lPEBw9f5jg\nG2l02dpDRd/zItIdN25i//0aN27isM5ru385Uvr+cRnrpTLqNNzzlzWNDihVf2G4krjWOe7ws6aZ\nLSZsiXmwpDUlvRl4K3AnYdvJt0qaGHd1OCTGdZyuRtImkkbH43UIPmQeBGYDB8ZoUxjYVvWqeE78\nvd723o7TTRxK6ERUuIrg7JP4P2kDhwFI2oWwPHRRMSo6Tn5IekP8P4HgP+ki3A6cEYKZfd3MJpjZ\nFoR2/k1m9mm8PVQIixY9SZjcYvHYKQDvHzsODSx5k/RzYDdgY0nzgenAucB5ku4HVhAbRWb2oKRL\nCR3qV4EjLQyDvS7paOAGBrZFfCiH/Axi3rx5pZPlOnVGVo68EZgVv76NAi4xs2skPQRcLOk/gHuA\nc2L8c4ALJT0GLCa8PAohj/uZ1zPqFl27RWbeJAZT/yURfCpwqaQjgPnEDkW0j30lPU7YEe7wovWt\nUMS99jTKIb8grog+YCrtn+VxGVzH7aCs7+bh3I4po04dYholaw81QqfueSfSHUl5zYpu7R+XsV4q\no05ZyiqjTlkz5ICSmX2yxk+fqRH/ZODklPDrgK2b0q5NJk+eXDpZrlNnZOWFmd0P7JgSPhfYOSV8\nBWHr0MLJ437m9Yy6RddukZk3ZvY34A1VYUsIg0xp8Y8uQq+hKOJeexrlkF8EZvbBlLBS2EFZ383D\nuR1TRp2KwsxuJrgAKGV7qBE6dc87ke5IymtWdGv/uIz1Uhl1ylJWGXXKGuWxjq4dJFnZdHK6G0lY\njs6I88DtwMmabrMDSXbssV8D4HOfm8I73vGODmvkdDvdZgPg7wIne7rNDtwGGkNK+jRXLn5Shgvd\nZgPgduBkS9Y20KpTbsdxHMfJld7eTejtfYAf//j8TqviOEMi6cuSHpB0n6SfRX8Zk+IW0o9IukjS\n6jHumpIulvSYpNui3yXHcRzHcZyuYlgPKM2ZM6d0slynzshy8rmfeT2jbtG1W2R2L8cDH8pNehH3\n2tMoh/y8kbQZ8EVgRzPbjuBS4FCCL7GZZrY1sAz4bLzks8ASM9uSsBPWaXnqV9Z383Bux5RRJ6dx\nOnXPi0y3p2cSkpBET8+kwtKt4OW6eMpYL5VRpyxllVGnrBlyQEnSOZIWSbov5bevSloZnVBWws6M\nX9z6JE1OhE+R9Gj8SndYdllwHMdxHMfpOKsB68VZSOsQtn/+EHBF/H0WcEA83j+eA1xO3BnIcboV\nSWtJukPSPZLulzQ9hp8n6YkYfrek7RLXpPYZnGIY2Blutu8M1ySd6B/PmjWL22+/PduMOE4GDOlD\nSdL7gReBC+JXt0r4eOAnBEdi7zKzJZL2AY42s49K2hk4w8x2kTQWuIvgvFjAHwlf8ZanpOdrRJ1M\n8bXSjpOvHUgaTXgfvBNYCRwBPApcAkwE5gEHVep8SWcC+xB2t5pqZn0pMi00dP+TY455jt7e/8xD\ndWcEkfe7QNKXgO8ALxN27TkWuM3Mtoq/jweuMbPt4i5Ae5nZM/G3x4CdoxPvpEx/FzRAT8+k/g7x\nuHETWbhwXmcVKjE5vwvWNbOXJa0G/A44BvhX4Goz+9+quKl9hhSZbgMN0IoPpZHqdykLG+hE/3jd\ndf+Jtde+g8WLn2pHdccp3oeSmd0KLE356XTga1Vh+wMXxOvuAEZLGgfsBdxgZsvNbBmhobV3O4o7\njuM4peEMQkd5G2B74GHCVtE3xqU+NwEnQn8n4i1xqc/ngbM7o7LjZIekMYQ20ERgM2A9wqBpNQO9\ntyoRid+cJhmYaWE+06KDmNnL8XAtwrLPlfE8reNSq8/gOKWnE/3jl18+g5UrV9b62XE6Rks+lCR9\nHHgqbpmeZHMgOWy6IIZVhz8dw1LZfvtd2X77XfnqV6e3ol4/ZVyz6Dp1RpbTXf5+ukXXbpGZJ5I2\nAD5gZucBmNlr8etacknPrHgOJepEDAffQ8MljW4r9ynsATxhZkvM7HXgF8B7gTGSKm2t8YRlcBDa\nR28CiLM5NjSztM4JU6dO5aSTTuKkk06it7d30L2aM2dOQ+eVsEbj1zvv7e1t6/rkeav5qXUOyePO\n5q/63rcjr53n19vb219+pk6dSp5IGiXpHmAh8Bsz+0P86dtxqc9MSWvEsKb6BkUzuFwN93Q7keaw\nqPcHkXf/OAuyvOdZySqjTlnKKqNOWbN6sxdIWgf4BrBn2s8p55YSDnW+xN133zrA2syd+33Gjx/L\n5MmT2W233YCBG1n0eYV25fX19XVE/3rnfX19mckrQ/76+vpYtmwZAPPmzSNP4tTWC4Ae4HXgR2b2\n39F3wP8DnotRv25m18VrTiQsCXoNOMbMbshVScfJly2A5yWdR5iddBdhqc84M1sEYGYLJW0a49dq\nQC0qTmXHyZz5wC6S1gZWEHwi/QHYGDiQsPxzCvDLGP+qeH5H/P2mWoLPP//8molW3n1DnVe/K5u9\nPq/zZPsuC3mQrX5lOW/n+VWHzZo1i7wws5XADpI2BH4h6e3ANDNbFAeSfgycAHybJvoGU6dOZdKk\nSQCMGTOmkH5BhaLbsa22oxMaN6V/iN/XcPxuPC+iX1BE/xiO5W9/e4GTTjqpZTuoULb+Yxntdjjl\nr7e3l76+vv56NGuG9KEEIGkiYf3zdpLeCdxI8BEgwhe3p4GdgH8HZpvZJfG6h4FdCU4pdzOzf43h\nZyfjVaUV/Wb8ifHjD+Kpp/6UQTadkUzO/gJ6gB4z65O0PmH98/7AwcBfzey/quJvA/wceA/Bdm4E\ntqx2EOA+A5ysycsOJL0LuB34BzO7S9LpwF8J/gKSDikXm9nGkn4FfNfMfh/DbwS+Zmb3VMl1H0pO\nphTgQ2k6cAjwKnAP8DlCPX8xMDaGfdrMXpW0FnAhsAOwGDjEzOalyPR3QQOMVF8wrVCUX0lJ3wJe\nTLaDJO0KfMXM9qvuC1T6DJUPEYlr3AYawH0oNU5WNlB8/3gBY8bsxNKlT7erujPCyfo90OgMJcU/\nzOwBwmyMikJzCQ7Elkq6CjgKuETSLsCy+FXieuA70XHrKMLo7bSsMuE4ncLMFhKmdmNmL0p6iIHp\nqrV8BlxsZq8B86Ij1p0IX6kdpxtZQJjifVc8v4JQvy+SNC6+A3oYmK3Xv9QnklwGVMVU4Gluv/0l\nent7SzFb1c+757zI2aoAZjYDmFEVPBfYOSXuCuCg3JVynIKQtAnwqpktj7M19gBOkdQTZ6mKsMvh\nA/GS1D5DR5R3nNbw/rHjAJhZ3T/CbIpnCFO45wOHV/3+BLBR4vws4HHgXoIhVcKnAo8Rdv45rE56\nBmbwgI0f/3Zrh9mzZ7d1fR6yXKfiZYViXr+cZ/EHTCLsZrU+MD3aRh9ht4fRMc5/A59MXPMT4BMp\nsjLJe5Isn01eMseNm2iAjR07LlO5Zt2R/7xkmuVrB8DNwFbxeDpwavw7IYZNA06Jx/sCv47HuwC3\n15AZ3wWn2THHfDWXe5LXvfY0yiffrLh3QZZ/Wb0LyvhuzlLWQH3R/5w7rlMZ75NZfnYAbAvcHds9\n9wHfiOH/F/sE9xFcBKybuCa1z1AlN7O8N0MRdVKW6bZiAwPXzG7bblqhU/c4CxvoTP94gY0Zs1lb\neS9jvVRGnbKUVUadsn4PDDlDycw+OcTvW1SdH10j3vnA+UOl5zjdSFzudjnBJ9KLkr4P/LuZmaRv\nAzMJyx865jMgj7XAFbKSV9mpZ+lSMWfOnMxnK5Q9/108O+NLwM+ij4wngMOB1YBLJR1BaGwdCGBm\n10jaV9LjwEsxruM4jtPFWHBEvGNK+O51rkntMzhO2fH+seMM0JAPpSJxH0pO1hTgN2N14FfAtWZ2\nRsrvyTXW0wijwqfG364DplvY7Sp5jZXNNotgYD3/yFnLXxRF+c3ICveh5GRNzv70tiI43q44Wt0C\n+DeCn6RLgImEGawHWdgFEUlnAvsQBlanmllfitwR+S5olpHqC6YVuvFd4M9zaNyHUuN0mw2A+1By\nsiVrGxiVlSDHGcGcCzyYHEyKPmMqfILBPgMOkbSmpDcDbwXuLExTx3EcJ3PM7FEz28HMdgTeRRgk\n+gVhueeNZrY1YSe3EwEk7QO8xcy2BD4PnN0ZzR3HcRzHcVpnWA8oVS9LKYMs16kzsvJC0vuATwEf\nlnSPpLsl7Q2cJuk+SX2EnRy+DGBmDwKXAg8C1wBHFvXpLY/72Q3PqEK35L+b7mm3U8S99jTKIb9g\n9gD+bGZPETZiqOzTPiueE/9fABBnqI6WNC4vhcr6bi7jcx/ubSunMTp1zzuTbifS9HLdCcpYL5VR\npyxllVGnrBlyQEnSOZIWSbovEXaapIck9Um6QtKGid9OlPRY/P0jifC9JT0s6VFJJ2SfFccpHjP7\nnZmtZmaTK1+nzew6MzvMzLaL4QdYYucSMzvZzN5qZtuY2Q2d1N9xHMfJnIMJDlsBxlXqfwu7gm4a\nwzcHnkpc8zQDO4Q6TtchaS1Jd8SPa/dLmh7DJ0m6XdIjki6KbgKIM7Uvjn2G2yRN6GwOnGbp6ZmE\nJCTR0zOp0+oUivePHWeAIX0oSXo/8CJwgZltF8P2AG4ys5WSTiH4hDlR0tuBnwHvIWwFfSOwJcGf\nwKPA7gSP+H8ADjGzh1PScx9KTqZ061rpkbKWPUmzPpR6eiaxaNGTjBs3kYUL5+WtXlfTbXbgPpSc\nrCnCBqJj+meAbczseUlLzGyjxO+LzWxjSb8Cvmtmv4/hNwJfM7N7quSNyHdBs4xUXzCtkLMvsXXN\n7GVJqwG/A44BjgMuN7PLJP1/9s483I6qytvvLyDImAGBAJEEEBBUBFRAUQEZJNAN2jaDiCRo2/YH\ntAyiBLo/E9pWCF+jV5xARQjIJCgyiIA0wZGADBfBMEuAALkMGZBRIOv7Y+/KrXvuOfeeYdc5de5d\n7/Oc51Ttqlp7VdVee6q91/4+0GtmZ0n6P8C7zOwISQcBHzezg6vIdBuog074UOpWu0thA51pH7sP\nJScNqcuBelZ5+310KpwPuyG3Ow/4RNzeD7jYzF4HFkh6ENiBYDAPmtmjAJIuJgz3HmQwjuM49ZKt\nCtfX1zX9JI7jjGymAreb2bNxv0/S+mbWF33rPR3DFwJvzV03idCgGETqFT9H4n4/A/fLot9oWfHT\nzF6Km6sS2hgG7AZ8MobPAWYCZxHaATNj+GWEZdUdpyvw9rHj5DCzYX+E1Un+XOPYlcAn4/a3gUNy\nx35EcEj8CeAHufBDgTNqyDMwg3ts0qStrRXmzp3b0vVFyHKd2i8rJPPh03mZflHnpKR8N0XJ7Lf/\n+u6/kfO74f6LkmlWrB0QVq+6C7gTuDWGjQeuB+4HrgPG5s4/A3gQ6AW2rSEzvtvT7Oijjy/kmRT1\nrD2O8sk3a09ZAFwETMvtzwZOiNszgFPj9j7AL+P2TsC8GvKS3HsZy+aUsvrzi/rLj6J1KuNzMiu8\nLBgTy4HngVOAdYAHcscnZe0J4G5gw9yxB4EJVWQmu/dGaEeelDLeZmyg/5q5TdlNq3bXqWecygba\n3z5eaOPGbdjSvZcxXyqjTilllVGn1OXAsCOUhkLSfwCvmdlFWVCV04zqvpqGGBc5HVidZcuepqen\npxRf4zJaldfb29sR/Yf7epVKXhnur51f4xzHAWA5sKuZLcmFZatbnRb9ApwIzMivbiVpR8LqVju1\nX2XHSYuk1QgOuf81Fzwb+KmkzwCPAQcAmNk1kvaR9BBhRbjD262v46TGzJYD20XfMZcDW1U7Lf5X\nthny86cG0IlRehntrsc2W4/OadyQ/uH83rrPr359/fGNhnZBce3jY3j55eeZNWtW03aQUbb2Yxnt\ndiTdX09PD729vSvy0dQM60MJIA7pu8riHNEYNo1QafqImb0aw2YQerxmx/1rCcNZBcwys72rnVcR\nl/tQcpLSbb5jYPT6DGjUh1Kj549mCvab8QjwXjN7Lhd2H7CL9U/1mWtmW0k6M25fEs+7l9AZ1Vch\n030oOUnxsmDk0q2+XDpBu+xA0leAl4AvAxMt+JXZCZhpZlOzNoKZ3RJ9Lj1lZutVkeM2UAfuQ6l+\nUtlA+9vH7kPJSUPqcqBaz2jVeMn1riosi/5lYL/MWCJXAgfHlRs2Ad4G3EpwMvY2SZMlrQIcHM91\nHMdxuh8DrpP0J0n/EsN8dSvHcZxRgqS3SBobt7PRevOBucSRecA04Iq4fWXcJx6/sX3aOk4SvH3s\nONTRoSTpQuCPwBaSHpN0OGEu6JrAryXdIel7AGY2H/gpoQC5BjgiTtV7AziK4E/jLwTHZPcWckc5\nBg8D7bws16kzsopC0iRJN0qar7BM7hdi+HhJ1yssk3tdVsmKx86IS4f2Stq2XboW8Ty74R1ldMv9\nd9MzzfEBM3svwS/MkZI+RO1h27WGfreddjxrj6Mc8tuBpLGSLlVYFvovknYsS1lQ1rK5jO99pNet\nCmQDYK6kXuAW4Dozu4Yw/fk4SQ8AE4Cz4/lnA2+JDoqPieeVhk49887E24k4uyZdV6Vb28dlzJfK\nqFNKWWXUKTX1rPJ2SJXgc4Y4/xSCI77K8GuBLRvSznHKz+vAcWbWK2lN4HZJ1xP8Ybj/GGdUEEcg\nYWbPSPoFYfWSlle3Cv70nmDevBcL8afXjvnxGWWZf9/sftH+8YqQ3wF/et8CrjGzAyStDKwBnISX\nBc4owMzuBravEv4IsGOV8FeBA9ugmuMkx9vHjtNPXT6U2on7UHJS006/GbEx/Z34a8l/TNlssx24\nD6XiKMoOJK0OjDGzFyStQfjSdjKwO7DYzGZHvwDjzGyGpH2AI81s3+hPo8fMBjWk3YeSk5qC/Yit\nBfSa2WYV4S37EvO8bXi61ZdLJ+g2X2JuA/XhPpTqp9tsANyHkpOW1DbQ0ipvjuP0I2kKsC0wjwr/\nMZKG8x8zoBHhOF3E+sDlobLDysAFZna9pNvw1a2c0cOmwLOSzgHeDdxGmMbjZYHjOI7jOCOWenwo\nnS2pT9Kfc2EN+wSQNE3SA/Gaw9LfymDKOGfRdeqMrKKJ090uA442sxcoof+YTvv7mThxCpKYOHFK\ncj3qodP330mZRWJmj5jZtma2nZm9y8xOjeGLzWwPM9vSzPY0s6W5a44ys7eZ2bvN7I5O6d6OZ+1x\nlEN+G1iZMN3nu2a2PaGzdAYlKQvKWjaX8b2P9LpVUVTxKfnvMXympIXRp8wd0XFxds2Jsc1wr6S9\nOqf9YDr1zDsTbyfi7I50XYtubR+XMV8qo04pZZVRp9TUM0LpHIKTsfNyYTNowCeApPHAVwiVLRH8\nzFxhZstS3ozjdILoK+My4Hwzy1Yvadl/zPTp05kyZQoA48aNa9l/TBH+YjLqOb+v71HA6OvTsPKy\nsHrjr+f8Tt9/u/c74D/GcUYzC4HHzey2uP8zQl2pFGVBRqq8pWy+s3J32PL9tsO3WjvfXxvLgmo+\nJX8dj33DzL6RP1nSVgQfSlsR0v8Nkjb3+W1Ol+DtY8eJ1OVDSdJk4Coz2ybuN+QTANgtnv9/Yvj3\ngZuy8yrich9KTlKKnist6TzgWTM7Lhc2mxb9x4y0OlU9/o7ch1JxdJvPAPeh5KSmDWXBb4DPmdkD\nkmYCq8dDXhYUTLf6cukE7SoLFHxKfhv4IPCCmZ1ecXwGYGY2O+7/CphlZrdUnOc2UAfuQ6l+UtlA\n+9vH7kPJSUNZfCitV6dPgIUxrJavAMfpaiTtDHwKuFvSnYSS9SRgNu4/xnEcZzTxBeACSW8C/krI\n31fCywJnlKF+n5K3EDqUjpT0aYJvsS/GERgbATfnLvO2gdPtePvYGZUM60OpQSp7uvqHDwym8G7s\natNiOi3LdeqMrKIwsz+Y2Uo5HzLbm9m1ZfQfU8Tz7IZ3lNEt999Nz7Tbacez9jjKIb8dmNldZva+\nWB78k5ktK0tZUNayuYzvfaTXrYqmik/J7xGm+2wLLAKykUod8ylZD5165p2JtxNxdle6bpHStI/L\nmC+VUaeUssqoU2qaHaHUqE+AhYShffnwubXFTwdWZ9myp+np6WnZd0yK/YxW5aXyF5Da10rZ/CG0\nej/uO8ZxHMdxHKd9VPMpaWbPrl6GawAAIABJREFU5E75IXBV3O6YT8l69jPaXY9tth6d07gh/cP5\nvXWfX/36+uMb4e2CgtvHx/Dyy88za9asEedPr4x2O5Lur6enh97e3hX5aGrq9aE0hTBH9F1xvyH/\nMNHp2G0Ep2Nj4vZ78l/qcnG5DyUnKd3mOwZGps8A96HUWdrgPybL2xea2X6x3LgYGA/cAXzazF6X\ntArBieV7gGeBg8zssSry3IeSkxQvC0Yu3erLpRMUaQc1fEpONLNFcftY4H1mdoikrYELgB0J03x+\nDQxyyu02UB/uQ6l+EvpQmkJb28fuQ8lJQ9t9KEm6kNB7uo6kx4CZwKnApfX6BDCzJZK+SjAUA06u\nZiyO4zhO13I0MB9YO+7PBk43s0ujo8nPAmfF/8UWVjs5CDgNOLgTCjtOSiQtAJYBy4HXzGyH2GC4\nBJgMLAAOjP5jkHQGMJVQX5puZr3V5DpONzCET8lDFJZJX06wgc8DmNl8ST8llBuvAUd4z5HTLXj7\n2HH6GdaHkpkdYmYbmtmqZraxmZ1jZksa9QlgZuea2eZmtoWZnVc9trQMHgbaeVmuU2dkOcU8z256\nR91y/930TDMkTQL2AX6UC/4IYel0gDnAx+L2/nEfwtSI3duhYzXa8aw9jnLIbxPLgV2jP70dYli2\njPSWwI2EZaTJLyNNaGCfWaRiZS2by/jeR3rdqiiG8Cl5mJltE8M/ljktjtecEtsMW5nZ9Z3Uv5JO\nPfPOxNuJOLsjXdeiW9vHZcyXyqhTSlll1Ck1qZ1yO47jOKOPbwJfIo59l7QOsMTMlsfj2YomkFvV\nxMzeAJZKmtBedR2nEMTgelW+A3VO3M/CzwOwsEz6WEnrt0NJx3Ecx3GcVNTlQ6mduA8lJzXuN6Mc\nuA+lzlKUHUjaF5hqZkdJ2hU4DvgMcHMcfZGNYPqlmb1b0j3AXmb2ZDz2EMGnxpIKuQbTgCfYcccX\nOfjgA0uxQIPvd89+pSPWOXPmFO1H7K/AYkKmdJaZ/UjSEjMbnzvnOTNbR9JVwClm9scYfgPwZatY\n7W0klgVF0K2+XDpBt9WJ3Abqw30o1U+32QC4DyUnLaltwDuUnBFPtxYcZbPNVvEOpc5SYIfS14FD\ngdeB1YC1gF8AewETzWx5dEI508ymSro2bt8iaSXgKTNbr4pcd8rtJKUNjuknmtkiSesC1wNfAK4w\nswm5c7IOpauBr1d0KH3JzO6skDniyoIi6NaGbSfotjqR20B9eIdS/XSbDYB3KDlpSW0DLU15k3Ss\npHsk/VnSBZJWkTRF0jxJ90u6SGEJUeKxiyU9KOlmSRunuYXalHHOouvUGVlFIelsSX2S/pwLmylp\noaQ74m/v3LETow3cK2mvdupaxPPshneU0S33303PFMDMTor+AzYlONe+0cwOJSx9e0A8bRpwRdy+\nMu4Tj9/YTn3ztONZexzlkN8OLK5kZWGZ9F8AOxCXkYbQ4cTwy0gPYvr06cyaNYtZs2bR09Mz4Fnd\ndNNNde1nYfWeP9R+T09PS9fn95u9n1r7lb5gOnl/lc++FXmtvL+enp4V6Wf69OkUhaRJkm6UNF/S\n3ZK+EMPHS7o+tguukzQ2d80ZsU7UGx13l4aB6Wqkx9uJOEdGvl+NMrePUz7zVLLKqFNKWWXUKTXD\nrvJWC0kbAv8OvN3M/i7pEuCTBMesvrKPM1o4B/g20RdGjm+Y2TfyAZK2Ag4EtiI0Hm6QNGiJXMcZ\nIcwALo4rmNwJnB3DzwbOl/Qg8BxeDjgjAEmrA2PM7AVJaxBG6J1M6ECdTlj1cDoDO1aPBC6JI/iW\n5p0V5zn33HNrxptN8RtuP6uE1nt+u/bz01hTyAuLLqXTryz7rby/yrA5c+ZQEK8Dx5lZr6Q1gdsl\nXU9Y0eoGMztN0gkEx/QzlHNML2lHgmP6nYpSznHagbePndFI01PeosHcDGwL/A34OaFhfQH1TXNY\nZGbrVpHrU96cpLRhmsNk4Coz2ybuzwReMLPTK86bAZiZzY77vwJmRYeslTJHXD+TT3nrLN02xNun\nvDmpKdIGJG0CXE5ItCsDF5jZqQoO539KGI30GHBAtvKPpO8AexOXka70nxTPGXFlQRF069SbTtCu\nskDSL4DvxN8uZtYXR+nNNbOtJJ0Zty+J599LWCWxr0KO20Ad+JS3+im4LCiwfexT3pw0pLaBpkco\nmdmTkk4nVJBeIvgLuIPwlW3YlX0kLZU0wcwWN62945SXIyV9GrgN+KKZLSPYwM25c56g3z4cx3Gc\nLsXMHiE0ICrDFwN71LjmqKL1cpxOIGkKwR7mAetnnUTRx1jmM29FuyCS1YmqjtRznG7A28fOaKRp\nH0qSxhGWvZ0MbAisAUytcmp/13WFiNyxQijjnEXXqTOy2sz3CMO4twUWAdlIpWo9wW37nFPE8+ym\nd9Qt999Nz7Tbacez9jjKIX+0U9ayuYzvfaTXrYomTne7DDjazF6gdj2no3Wi4XAfSm2ItYvSdb2U\nvX1cxnypjDqllFVGnVLT9Aglwhe3v2Y9qJIuBz4AjJM0JvbC5p1MZg4on4xD+ta2imWi+5kOrM6y\nZU/T09NTiqWiM1qV19vb2xH9h1taOZW8Mtxf5VLR7SY6ZM34IXBV3K7bCSsER6xTpkwBYNy4cS3b\nQcr33KxdDHd+5Tn1yqvn/DLc/2iyA8dxHGd0ER0NXwacb2aZv7A+Sevnprw15Zg+ZX2onv2Mdpff\nzdajcxo3pH84v7fu86tfX398o6A+VGD7+Bhefvl5Zs2a1bQdZKR6rmV6z35/tfd7enro7e1dkY+m\nphUfSjsQnKu+D3iV4Jz4T8CHgZ+b2SXR6dhdZnampCOAd5rZEZIOBj5mZoOcjrkPJSc1bfChNIXg\nQ+ldcX9ittqPpGOB95nZIZK2Jsyh3pEwxPXXQFWn3CPRZ4D7UOos7kPJGe20oSwYQ5jmvNDM9otl\nw8XAeMKUh0+b2euSViEs5PAe4FngIDN7rIbMEVcWFEG3+nLpBAX7jzkPeNbMjsuFzSY4HZ4dfUmO\nM7MZkvYBjjSzfaNPmR4zG+SU222gPtyHUv0UbAMFto/dh5KThtQ2MKbZC83sVsJXiDuBuwhD9H5A\nWNnnOEkPABMYuLLPW+LKPsfE8xynq5F0IfBHYAtJj0k6HDhNYanQXmAX4FgAM5tPcM46H7gGOMJr\nSU63I2lVSbdIulNhqeiZMbwUS+Q6Ths5mpC/Z8wmrOqzJbCUsJoP5Fb1AXoIq/o4TlcjaWfgU8BH\nYnlwh6S9CXawp6T7gd2BUwHM7BrgEUkPEVa7OqJDqjtOMrx97IxGmu5QAjCzk81sKzPbxsymmdlr\nZvaIme1oZluY2UFm9lo891UzO9DMNjezncxsQZI7GILBw0A7L8t16oysojCzQ8xsQzNb1cw2NrNz\nzOywaBPbmtnH8iuWmNkpZva2aDfXt1PX1M9z4sQpSGLixClJ5RZFEempW2QWiZm9CuxmZtsRnLBO\nVVgCuvSN6XY8a4+jHPKLRtIkwrLQP8oFfwT4WdyeA3wsbu8f9yE0PHYvWr+yls1lfO8jvW5VFGb2\nBzNbKdZ9tjOz7c3sWjNbbGZ7mNmWZranxVUO4zVHxTrRu63KKoedpFPPvDPxdiLO7kjXzVDm9nEZ\n86Uy6pRSVhl1Sk1LHUqO44xe+voeBebGf2c0Y2Yvxc1VCb75DNiNkjSmHacNfBP4EnH+h6R1gCVW\nx6o+wFJJE9qrruM4juM4Tus07UOpKNyHkpOabvMdA93hM6AIf0fuQ6k4CvYZMAa4HdgM+C7wP8DN\nZrZFPD4JuMbMtpF0N/BRM3syHnsQ2NEqlsh1H0pOaoqyAUn7AlPN7ChJuwLHAZ8h2MDm8ZxJwC/N\n7N2S7gH2ytnAQwRfe4McsUqyadOmtd0hcbft77bbboT84iZgtxXlQVn06+R+pUPiOXPmdFWdqBvq\nQ2XAfSjVT7e2C9yHkpOK1DbgHUrOiKdbC46y2WYl3qHUXbTDDiStDVwOzAR+XNGh1FBj2juUnNQU\n2KH0deBQ4HVgNWAt4BfAXsBEM1senQ7PNLOpkq6N27fEVX2eMrP1asgufVlQBrq1YdsJuq1O5DZQ\nH96hVD/dZgPgHUpOWkrjlDsqM1bSpZLulfQXSTtKGi/p+uiI9TpJY3PnnxEdsfZK2rZ19YemjHMW\nXafOyHKKep5FyCyGIu6/W2S2CzN7HvgNsBNxidx4qNoSuWjYJXKnA9czb94f6OnpGfBsbrrpppb3\ne3p6ksqrtp+FFSW/WlxFxFfE8y9afk9PD7NmzWLWrFlMnz6dojCzk6IPvU2Bg4EbzexQYC5wQDxt\nGpAto35l3Ccev7Ew5SL5ZzNSZaUilU4j/TlVIulsSX2S/pwLmylpYXTQnTnpzo6dGNsE90raqzNa\n16ZTz7wz8XYizu5I181Q5vZxGfOlMuqUUlYZdUrNyi1e/y3CNIYD4go+awAnATeY2WmSTgBOBGZI\nmgpsZmabR4etZxIaHY7jOE6XIuktwGtmtkzSasAehFV8ssb0JVRvTN/CsI3pc4H/x047Pc0xxxwz\n4Eg2paPs+1nhXxZ9mt3PT7PqFvmVYXPmzKHNzAAulvRVwoo/+VV9zo/TPZ8jdEI5TrdzDvBt4LyK\n8G+Y2TfyAZK2Ag4EtiJ8cLhB0uY+FGl0MHHilBX+N9dffzKLFi3orELp8faxM6poesqbpLWAXjPb\nrCL8PmAXM+uTNBGYa2ZbSTozbl8Sz7sX2DW/AlYM9ylvTlK6dWhr2etV3TLlLau4jNBKS90UON3n\nXQQn22Pi7xIz+5qkTYCLgfGExvShZvaapFWB84HtiI3paqua+JQ3JzVeFoxcunXqTSco2J/eZOAq\nM9sm7s8EXjCz0yvOmwGYmc2O+78CZpnZLVVkug3UQTdNeeu0vRZsAwW2j33Km5OG1DbQygilTYFn\nJZ0DvBu4DTgGWD8zAjNbJCnzC7BiVZPIEzFsgME4juOkJHwFM/r6uqod2TWY2d3A9lXCHwF2rBL+\nKuHLtOM4jjPyOVLSpwnthC+a2TJC/f/m3DlZm8Bxuh1vHzujjlZ8KK1MaER818y2B14kDO+u1c1c\nrTVXaJd0Gecsuk6dkVUUNXwGlGKedCXFPM8iZHYPRTzTbkj3I4V2PGuPoxzyi0bSqpJukXSnpLvj\nyAwkTZE0L5YHF8XpD0haRdLFsTy4WdLGRepX1rK5jO99pNet2sz3CNN5tgUWAdlIpba3CRrFfSiN\n5HgLpdTt4zLmS2XUKaWsMuqUmlZGKC0EHjez2+L+zwgG0ydp/dyQvqdz5781d33eSWsF04HVWbbs\naXp6ekqxRG5Gq/J6e3s7ov9wS8qmkleG+6tcIrdgqvkMmIHPk3Ycxxk1mNmrknYzs5eis/k/KKzm\ndhxwupldKun7wGeBs+L/4lgeHASchvtSckYYZvZMbveHwFVxu4E2AUyfPp0pU6YAMG7cuLa0CzLa\nXY9tth6d07gh/cP5vXWfX/36+uOr1iC+6aabRlK7oMD28TG8/PLzzJo1q2k7yChb+7GMdjuS7q+n\np4fe3t4V+WhqmvahBCDpN8DnzOyB+DVu9XhosZnNjnOkx5nZDEn7AEea2b4Ky+f2mNmgxrT7UHJS\nU7TfjCo+A1qaJx2Pld5nQLf4UGpU5kil2/zHuA8lJzXtsgFJqwO/BY4ArgYmmtnyWPeZaWZTY2fT\nTDO7JXZALTKzdavIKn1ZUAY67ZOlmyjYf8wUQn3oXXF/opktitvHAu8zs0MkbQ1cQJgWvRHwa6Cq\nU263gfpwH0r104Z2QUHtY/eh5KShTD6UAL4AXCDpTcBfgcOBlYCfSvoM8BhxyVwzu0bSPpIeIgz/\nO7zFuB2nrKzX7fOk3ZG14zhOY0gaA9wObAZ8F3gYWGpmy+MpC+n3E7OiPDCzNyQtlTTBzBa3WW3H\nSYKkC4FdgXUkPQbMBHaL0/uXAwuAzwOY2XxJPwXmA68BR3ivkTOC8PaxM6poxYcSZnaXmb3PzLY1\ns38ys2VmttjM9jCzLc1sTzNbmjv/KDN7m5m928zuaF39oak2rLLTslynzsgqCR31GdDI8+x3ZP3o\ncFJb0Kj7KSKNjsB0X1ra8aw9jnLIbwdmttzMtiNMWdiBsCT6oNPif2V5kP9kn5yyls1lfO8jvW5V\nFGZ2iJltaGarmtnGZnaOmR1mZtvEdsLH8iOyzeyU2CbYysyu76Tu1ejUM+9MvJ2Is5PxFkuZ28dl\nzJfKqFNKWWXUKTWtjlByHGcwCeZJp/cZ0Mhc4MBN/VuJ5vLWKy8LSzUHv9k5/u2cq516v10+AyRN\nIvgQmwi8AfzQzM6QNB64BJhM+DJ9YFzdB0lnAFMJX+Omm1lvNdmO042Y2fNxysNOwDhJY+IopXye\nn5UHT8Ypb2ub2ZJq8lKUBRmp8pZUeVUqv4u5O2z5fkeS34x2lgWO4zjO6KQlH0pF4D6UnNS0Ya70\nFAb6DJhNC/Oko4yOjv7uFn9H7kOpfoqyg9hpOtHMeiWtSZjysz9h2PZz1u+cfny0g6nAUdEOdgS+\nVdtfgPtQctJRsO+YtwCvmdkySasB1wGnAtOAn5vZJdEp911mdqakI4B3mtkRkg4GPmZmg5xyd7os\n6BY67ZOlm+hGf3r+PofHfSjVT7fZALgPJSctZfOh5Dijmho+A04FLvV50s5oIDpcXRS3X4jO5icR\nOpV2iafNAeYSVjrZn7gqYnRIPDYb0dd25R0nHRsAc6IfpTHAJTHPvxe4WNJXgTuBs+P5ZwPnS3oQ\neA5f4c1xHMdxnC6kJR9KEJxQSrpD0pVxf4qkeZLul3SRpJVj+CqSLpb0oKSbJW3catzDUW1aTKdl\nuU6dkVUUNXwGLCnDPOlKinmeRcgsPxMnTkESEyZMTC67G9J9LeJovW2BecCKTqLY6TScc/q2045n\n7XGUQ37RmNndZrZ99JmxjZl9LYY/YmY7mtkWZnaQmb0Ww181swPNbHMz28nMFhSpX1nL5jK+95Fe\ntyoKSWdL6pP051zYeEnXxzbBdZLG5o6dEdsEvdFxd6no1DPvTLydiLOT8RaLt407I6esssqoU2pS\njFA6mrBKw9pxfzZwupldGod3fxY4K/4vNrPNJR0EnIZ/kXMcpwvJnJYvWdJVI6YLJU53uww4Oo5U\nqjWGvQHn9NOBJ5g370V6enpa9iNWud8OXykZZfHF0mlfN+2U775jHKetnAN8mzgCNTIDuCE39flE\nIJv6vFlsE+wInEnwOTZqyVbXBXyF3e7H28bOqKIlH0rRGes5wNeA48xsP0nPEL5ML49+Ymaa2VRJ\n18btW6IDykVmtm4Vme5DyUlKt86Vdh9K5fWh1I1+mQr2H7MycDXwKzP7Vgy7F9g155x+rpltJenM\nuH1JPO8+YJfKKW/uQ8lJjZcFI5dUPllGQ6O+4LJgMsGn5DZxf0X+Pkw5sKK8qCJzVNhAJ/wZuQ+l\nQmQnbxtHue5DyUlGahtodcrbN4EvEXMFSesASyysZgJhFZNsKsOKaQ5m9gawVNKEFuN3HMcpPdkU\nuYkTp3RalaL4MTA/60yKXEkYYkT8vyIXfhhArFgtdf9JTrcjaZKkGyXNl3S3pC/E8K6d8jMayUaf\ngq3oWHJaYr2yT312nMR429gZdTTdoSRpX6DPwnLPWQ+XctsZljs2QAQ1pzmkoYxzFl2nzshy3IdS\nJ8kaKfU0ULot3UvaGfgU8BFJd0a/AXsThnjvKel+YHeCs3rM7BrgEQXn9GcBR3RI9RHhe2ikxNFt\n6b4KrxO+Rm8NvB84UtLb6Z/ysyVwI2HKD/kpP8DnCVN+CqOsZXM53/tNaaSM+OfUEg1Mfe4MnXvm\nnYi3E3F2Mt5i8LZxZ+WUVVYZdUpNKz6Udgb2U1gKfTVgLaAHGCtpTOyJnQQ8Gc9fCLwVeDIO61vb\nzJZUFz0dWJ1ly54uxG9GM/sZZfQT0ep+Sj8iZbg/95vhOO3DzP4ArFTj8B41rjmqOI0cp/34aoeO\nU5W+LF3HKW9Px/CsTZCRby8MYvr06UyZMgWAcePGtaVdkNHudgb0NhV/7oqGrg/n99Z9fvXrW9E3\nhI2QdkGBbWOAY3j55eeZNWtW03aQUbb2YxntdiTdX09PD729vSvy0dS05ENphRBpF+CLcZ7oJcDP\nzeyS6HjsLjM7U9IRwDvN7AhJBwMfM7NBjsfch5KTGveb0VT8dIO/o27xoVQGn0vdZgfuQ8lJTbts\nQGG1w5uAdwKPm9n43LHnzGwdSVcBp5jZH2P4DcCXrWL1z06XBd1CKp8snfbt0g4K9h8zheBD6V1x\nfzbB6fBsSTOAcWY2Iza4jzSzfePU5x4zq+qUe7TYgPtQah/tKAtSto2jPPeh5CQjtQ2kWOWtkhnA\nxZK+CtwJnB3DzwbOl/Qg8Bzuxd5xHMdxnBGECljtsBOjM7ptv5+B+42PtshktKbPwQdPXzHFefz4\n9Vm8eFHS+y3j6AxJFxIe3DqSHgNmEqY6XyrpM8BjwAEQpj5L2idOfX4ROLwwxRyn83jb2BnZmFmp\nfoCBGdxjkyZtba0wd+7clq4vQpbr1H5ZIZl3JC0vAO4iFB63xrDxwPXA/cB1wNga1ya59zyNPM9+\nO6ytRzhn7pDnNCdz6HOKlpkq3mbPT2lDlTpYCfL4en/9z+w0O/ro4wt5JkU9a4+jfPLNircBwke6\nawmdSVnYvYTVfQAmAvfG7TOBg3Ln3ZedVyEzyb2XsWxOKas/v2gtr+8v18ohJyPlM+/GsqATtCNP\nytOfhuc2lWaasYFOxJki3lbpNhswy+pEC23cuA1buvcy5t9l1CmlrDLqlNoGxjTTCeU4Tl0sJyyD\nu52Z7RDDqjpobZYbb7yRH//4x5x77rm88sorLarrwKhYkc1xnGLw1Q4dx3EcxxlVJPGhlBL3oeSk\nplO+YyQ9ArzXzJ7Lhd0H7GL9DipvMrO3V7nW6rHNlVdehVVXPYTly3/L2Wf/N4ccckgq3ekGf0cj\nSebEiVPo63uU9defzKJFC4aV2SgF+804G/gHwuom28Sw8cAlwGTCaL0DzWxZPHYGMJUw1WG6hRVR\nKmW6DyUnKQXbwM7Ab4G7ydadh5OAW4GfEhyvPgYcYGZL4zXfAfYmTvmxCv9J8Zy6yoLRTtl8KHXa\nR8xQdKM/vTI9v6JwH0rto9tsANyHkpOWbvCh5DhOwIDrog+Ns8zsR4QpDX0QVgWStG5LEZjx0ks/\nZM01p5eqwuo0TvC3YfT1dVUdJ+Mc4NvEVasi2Wi80ySdQBiNNyO/XLqkHQlTf6o6Y3WcbsF8tUPH\ncRzHcUYhTU95kzRJ0o2S5ku6W9IXYvh4SddLul/SdZLG5q45Q9KDknolbZviBoZisLPGzstynToj\nq0N8wMzeC+wDHCnpQ9Rwulo0xU3juimxPKcbMbPfA5VL3e5PWCad+L9/LnzFcumE5XTXb4eelbQj\nj/E4yiF/tFPWsrmc7/2mkskp63OqH0kLJN0l6U5Jt8awmu2FMtC5Z96JeDsRZyfjLY6yt4/LmH+X\nUaeUssqoU2paGaH0OnCcmfXGVU1ul3Q9YaUG/yrtjHrMbFH8f0bSL4AdgD5J6+emvD1d6/p6VvbJ\neP31PubPn79iv3KllzD65Zv09R1b9XjtlW6qy6uMv9GVeIZfqSeE1b+yz9DnN7ryz3DnV57TqedZ\nhpV9hmC9itF468XwjYDHc+c9EcPcf4zTtRQx7dNxRhCZT8n8h4eqo1g7op3jpMPbx86oI5kPpdhg\n/k785X3EzDWzrSSdGbcvieffSyhc+irkuA8lJymdmCstaXVgjIVlo9cgrOx2MrA7sNjMZscCZbyZ\nDapA1eszYKWV3sTy5S+x5prTOfPMffjUpz5VSx+6wY+Qy6xfZqMUbQeSJgNX5RrTi81sQu74c2a2\njqSrga+b2R9j+A3Al8zszgp5Q/pQynxOAYwZszrLl78EUJgPKqf7KdiH0geBF4DzcjYwG3gu14AY\nb2ZZA+IoM9s3NiC+ZWZVGxCjxX9Mq5TN91GnfcQMRYfqRIX7lOx23IdS+2inDaRtH7sPJScNpfSh\nJGkKsC0wj8E+YvyrtDMaWR+4PPpPWhm4wMyul3Qb8FNJnyE6aO2kko5TILVG4y0kOCjOmAQ8WV3E\ndOAJ5s17kZ6engGj9EJn0lxgV5YvV9yGvr7dgDSjvHy/u/fbOUrPzH4fO1Xz7A/sErfnEBLpDCqm\nfUoam9lKoUo6Tuco3Kek45QNbx87owYza+kHrAncBuwf9xdXHH8u/l9N8CmThd8AbFdFnoEZ3GOT\nJm1trTB37tyWri9CluvUflkhmbeWztv9izoPy5gxKxv83dZc8xD7yU9+MuQzgLlWr9x+O6x9fnEy\nhz7HZTZH0XYATAHuzu3PBk6I2zOAU+P2PsAv4/ZOwLwa8uLzOM2OPvr4Ffex/vqT47PKjtug7XpJ\nmV95HOWWb9YWG5gM/Dm3X6s+dFWV+tD2NWQmufcyls0pZTWbB1SXM7c0cjJSPvNO1ImAifF/XeBO\n4EO17KPKtcnuvRHakSfl6U/Dc5tKM83YQCfiTBFvq7TDBoppHy+0ceM2bOney5h/l1GnlLLKqFNq\nG2hphJKklYHLgPPN7IoYnOir9OosW/b0oK/SnfrqmdGqvN7e3o7oP9xX3FTyynB/JfAd4zijCkkX\nArsC60h6DJgJnApcWjkaz8yukbSPpIeIy6U3Ele2Gh505Wp4jgPVE29753w4ThuxNviULGu9v9H4\nYKA7tcavb0z/cH5v3edXv74VfevzmdlN7YLi2sfH8PLLzzNr1qym7SCjbO3HMtrtSLq/np4eent7\nV+SjqWnJh5Kk84Bnzey4XNhs+n3EzADGWfAZsA9wpAWfATsBPVbFZ4D7UHJS0wl/Aa3iPpRcZmq6\nzQ5q+VDKP6e8D4ay+itxykMH/Iit8IUxjM+MFb5kqsi0adOmtb0x3W37u+22GyEPuAnYbUUe0Ki8\nkL/MJfSPi7lz53ZUn1QPiqDNAAAgAElEQVSNonxjes6cOW0tC9rlU7LbcR9K9ZP3odiM38Q2lAUF\ntY/dh5KThtQ20HSHkqSdgd8Cd7Ni+gEnAbcCPyX0tj4GHGBmS+M13wH2Jn6VNrM7qsj1DiUnKd3W\nkAbvUHKZ3qHUfIfSm4FXAXfQ7QykDY2IKYQOpXfF/ZYaEFHGqGhMt0rZnGl32unwULS7LJC0CXA5\n4YFkPiVPlTSBGu2FiutHhQ14h1Lx8eavL8oGim0fe4eSk4bUNjCm2QvN7A9mtpKZbWtm25nZ9mZ2\nrZktNrM9zGxLM9szXziY2VFm9jYze3c1Y0lN5fCwMshynTojy4HKYcnllek4rfAqWR2ur28Rkpg4\ncUrVM9uRx3gc5ZBfNHHa5x+BLSQ9JulwwrTPPSXdTxiNcSqEaZ/AI3Ha51nAEUXrV9ayuZzv/aaS\nySnrc6oPM3sk11Z4l5lldlCzvVAGOvfMOxFvJ+LsZLzFUfb2cRnz7zLqlFJWGXVKTZJV3hzHcRyn\nfITOpb6+rhmY5XQpZnZIjUN71Dj/qALVcUYIrU7tcRzHcZyiacmHUhH4lDcnNd021Qd8ypvL9Clv\n+Slvq69+Ki+9tDh3dGgfSoO3yzXlxOkM3WYDMDKn+xTRSVK2qWplk1Mps5vsYCTaQDV8ylvx8eav\n7yYbAJ/y5qSlNFPeHMdxHKcdhM6kzBVBM6yKpJrT3yZOnDLkccdx0tG/UqOt6FhyHMdxHKc7aXuH\nkqS9Jd0n6YG4qkNhlHHOouvUGVllop02MJCbukSmMxporx0M9qskiTFj3oykQhu4I8G/UTviGKn5\n/VCM9vpQebmpZHJSyyoXnasTDU0r6Tz7SNHcB4rm422eTsTZ3njzH47KxmgvC8qoU0pZZdQpNW3t\nUJI0BvgO8FHgHcAnJb29qPh6e3tLJ8t16oysstBuGxhIEc9z5L0jp3g6awf9nUtm2XaeoUczNUo7\n8rGREMdIzO+HwutDZSbV/aV8TiPzmXe2LBiaVtJ59pGiuQ8UnXjXnUpf7Ys3/+GoTHhZUE6dUsoq\no06pafcIpR2AB83sUTN7DbgY2L+oyJYuTbdgRCpZrlNnZJWIttrAQIp4niPyHTnF00E7GI7qo5lW\nWmmNAf+V27U6n9qRj42EOEZofj8UXVcfyr7wH3vssSN8amiqtJgyTbcmq8SjM0pbFnQuT+pEvKPp\nXktH15UFqWWVUaeUssqoU2ra3aG0EfB4bn9hDKvKk08+6n4tnJFGQzbgOCOULrGD/s6l5ctfGvBf\nuZ19ic433FZaaQ1OPvlk993kVKNuG3jyySd55pln2qLUUPR/4Z/pvo+6jLKOzqDAsuC5557j1FNP\n5ZRTTuH000/nlVdeSSHWcVLTJfUhx6lNuzuUqn0aqVK6CXgny5e/yFBfiof6Qjxx4pSqFfnh5jXX\nquAvWLCg4ZutRio5ALNn/0+SxkhKnTolq4saZnXaQH1ssMFkYBVefPEiJk2aNMzZC5qNps0ynVFA\nA2XBl4vWJRGrDvLHFDqcplGrDBvou6n+0VCV2yeffPKw5WKtPLLevHPBggUrzq1nZFa9ZDJPPvnk\nYfXqony+HuouCzbaaCPWW289+vr6mo4sVX0hsKDF68vOgpLJSS2rVCStE+WZN28eJ554IieddBLH\nH388Dz30UF3X1cqT2seCURJnJ+MtFQ3YwCQ23nhyS5GVsc1XBp2q9Q/ky82s3lNP/alS1lA6Nepv\nrVJWWepFaudSnJJ2AmaZ2d5xfwZgZjY7d07pPp843U9ZlgetxwZiuNuBk5xusgO3AacIuskGYrjb\ngZOcbrIDtwGnCLrJBmK424GTlJQ20O4OpZWA+4HdgaeAW4FPmtm9bVPCcTqI24DjuB04jtuA47gd\nOI7bgDMSWLmdkZnZG5KOAq4nTLc72w3GGU24DTiO24HjuA04jtuB47gNOCOBto5QchzHcRzHcRzH\ncRzHcbqfdjvlHhJJe0u6T9IDkk6ocnySpBslzZd0t6QvxPDxkq6XdL+k6ySNzV1zhqQHJfVK2jYX\nPi3Gc7+kBZKujOFTJM2L4RdJWjmGryLp4ijrZkkb52TNkvQ3Sa9GWTu2oNPTUc5jki6I8dar08WS\n+iT9WdKJMfx+Sbc3qMdvJL0u6RVJh8Ww0yQ9IunleK/fy52fxXWvpL0q3ufSKOupXHh2P09LMknr\n1vlslkVZj+XCt5f0hKS/S3pW0ql16jUondV6zu1kOBtoUmZVu0kke4ykOzL7SSBvrKRL4zv7i6Qd\nE8g8VtI90S4ukLRKk3LOzuwrF1bTzluQeVq8/15JP5O0dgpdc8eOl7Rc0oRG5baLVHbQ6Durlf8M\nIT9ZmTREHKtKukXSnTGOmTG84bKqjrgG2HPqOBTKx7vivdxawLMalH+klN9OhrLhBuUky/9rpcUW\n5CUpP6qlqyblJCl/JG0Rdbkj/i9r9rkrUfkVZR0d31vSekCRpCoLGoyzsDpTHXEnrVPVGWfyeled\n8SZL28PEk7zu1k4atYFG77dWOVjLDpqUlbQeU2knLchJViepZkeNylKNsqMFnQbZWLPPaljMrBQ/\nQufWQ8Bk4E1AL/D2inMmAtvG7TUJc07fDswGvhzDTwBOjdtTgV/G7R2BeXF7PPAwMBY4EfgbcE08\ndglwQNz+PvD5uP1/gO/F7YOAi+P21sBzwGeBKfEexjap0wLgEWDdqN/PCUsE1avTDcC28bncSZjS\n+H3gWUAN6PEE8EHgntxz2gO4BdgBODWGfzTefxZXdv/Kvc9PAO8FXs7eZ7yfzwPXAs8Dx9b5vj4K\nfIiwlvfYeGw+MC/Gf03uOW01jF6D0lmt51wmG2hSblW7SaTzscBPgCsTyTsXODxurwys3aK8DYG/\nAqvk3vFhTcr6YLSvP+fCqtp5izL3AMbE7VOBU1LoGsMnRbt7BJiQ4p2l/qW0g0beWa38Zxj5Scqk\nOuJZPf6vRMjvdqyVX1GjrKozngH2nDqOaIvjK8JSvo9zGZh/NFwWl+VXy4abkJM0/6+SFndoQVaS\n8qNaumpSTmX6aan8iXLGAE8Cb23i2pTl1zuAPwOrxnf3a2CzVu+vyB8F1YnqiLewOlMdcSetU9UZ\nZ/J0X0ecydJ2HXElr7u18d00bAON3O9Q5WAtO2hGVgxLVo+ptJMW5CSrk1Sxo5bqH+TKjibfXzUb\nm9bssxo2rXbaWHI3vhPwq9z+DOCEYa75BaHxdR+wfs4A7o3bZwIH5c6/F1gfODg+xEmEQvUK4LZ4\nzjP0N+ZW6ERohO2YM4an4/ZXgOdycfwqvtRmdJoDPEroQDkTuA3YE3i6Xp0Imc5T2bOLevxv1KmR\nZzOZUPn4fkxYE4H58dyPAb+Nxwa8p9z95/Ws1OkZ4FLgXQRj+d96dMrJei6n0zLgI/FY/rxh9ao8\nr8q7v7bsNtBkPL8Adk8gJ7OfXUlQ+QHWAh5OfK8b5mxqZeAqYI8W5E1mYCFdaef3tSqz4tjHgPNT\n6BrDMrt7hPJ2KCW1gzre2ZB5YoNxNVUmNSB/dUK5sAP1lwvP1Cl7kD1XyRNbjeMRYJ2KsCTPqlb+\nUeT7boMt1MwbWpCZKv/P0uL7mrw+WflRLV01ISN5+RPl7gX8rslrk5VfwD8DP8jt/ydwfOr7Tfzs\n2lInqkOPJDZTRzxJ61R1xllIuq8j3qR1szriS153a9NzasoG6rjfhstBEtVvaLEeU81OaLKuUq3s\naOb+atlRK8+KXNnRpE6VNnYljfUp1FWvy35lmvK2EfB4bn9hDKuKpCmEHth5hIfXB2Bmi4D1hpGZ\nhX8T+BIhIb5Z0jrAEjNbXkWHFbLM7A1gmcKUka2AJZLOkXQHsEn8NaPT/cDpwGPAofH4HcDSenUi\n9Ii+KRfHegSD2ajBZ5PxRC58YQz7DHBjHefnw18DNorP+O/A42Z2N/A6wTga0em1XLiAD0uaB3yZ\nMGKqmqxaei3M6VX57jekvTRkA82Qs5tbEojL7McSyALYFHg2syVJP5C0WisCzexJ+m3qCYIt3ZBA\n14z1Kux83WHOb5TPEDpDW0bSP9Jvd2WmaDuofGe18sQsz6iLJsukuuKIw7vvBBYRKlIPU3+5sFT1\nTW8cYM8Nlof1xmHAdZL+JOlfYliqZ1Ut/1g9ofyuJ0X+X5kWzexPTYpKWX7k09XnmpSRvPyJHARc\n1MyFicuvewh1pfHRLvYhfPkuM4XXiYYjcZ1pOFLXqeqhqHQ/JG2omw1H0XW3VKSygZbqPSnqNwnr\nMSnrKqnqJEXUPw4CLmxWpyo2tozG+hTqrdcB5fKhpCphVTNVSWsClwFHm9kLtc6rIlPxXAFbAn1m\n1ps7T1WusdyxavqNIUyp+q6ZbU/o7Ph4kzq9Gdif0LM8G1iFMJytWrxD6VSNyvCh9Kh2rQAk/Qfh\nHm+o5/wq4asBE4CZVXRrRicB48xsJ+B7hOl11WQNp9dQ775dNPI+Gxc+2G5akbUvA+2nmu6NsjKw\nPf229BLha0zTSBpHv01tCKwp6ZBWFW0Hma2Z2YXDnjy8rNWA/2Cg3aV4Z0VQqB0UEW8LZVJdcZjZ\ncjPbjvBlbgfCh4xacmrlozWpYs/ZdfWWh8PGEfmAmb2X0Jg9UtKHhriu0WdVmX+8SMg/kr6LbiVV\n/l+RFneUtPVw11TRJXX5UZmuPtiEjCLKnzcB+xFGhjZzfbLyy8zuI9QrbyC4B+glfNArMx210ZR1\npjriKqJOVQ/J0309dHPdrM0UbQPDyk9Vv0lRjymgrpKqTpK0/lGl7GhYThUbW4PG+hTqrdcB5epQ\nWgjkHUBNIkyHGkB0HnUZYRrIFTG4T9L68fhEwnCuTGb+C0wmcyFh2sd+kv5KmCr1NqAHGCtpTMX5\nA2RJWongw2cJ8CCwzMxui+e9SOjla0annYC/mtniKOO3wAeAcfXqRPBJ9Foujj5Cz+mTDehR7T0s\nBN5JMLpDKsLrkfOmGD6OMIf/LkmPEBL5ppLWa0LWQkKC/3kMfwF4LfZWD3Ufg8LN7FlqP+d2UZcN\nNEMNu2mFnem3n4uA3SSd16LMhYQRNJktXUbIoFthD6JNxR73nxNsKhW17LwlJE2j39ZSsBmh4zuz\nu0nA7dHuykZhdhBpNG8ekkRlUl2Y2fPAbwhlRb3lwtqxrBqKSnv+CI2Vh/XEkX1Zw8yeIQyf34F0\nz6oy//gZIf8o5F10EwXk/1lavAnYu4nLk5YfFenqckK6apQiyp+pwO1Rr2ZIWn6Z2Tlm9h4z2xXI\n6q9lpuiyoCZF2MwwFFGnqoci0n09FF03G45C6m4FkMoGmioHi6jftFiPSVpXSVgnSV3/yMqOZ+N+\nM3IqbexyGutTqKtel1GmDqU/AW+TNFnB0//BhPl+lfyY4MvnW7mwK4HpcXs6wSdSFp6tUrYTYZhX\nH3AdofPlXcB7gKXAjWZ2KDAXOCBeP61C1rS4fQBhyheE4WirSHqHpE2AzYE/NKnT1sAHYmLZkzCS\n5y8N6iSCk/GD43P8DbANcGsDeuwJrE2YQ7lnDNuW0Bk0kzBl7bAo68osrnj/b4txrXifhJFW44Ar\nzOweQo/riWa2CeFryH+a2dPD6aTg1X4swTncdTEjeBr4tCQB/wa8ambPRVkHDaVXLp1lz+TGGs+5\nXdRrA81QzW6axsxOMrONzWxTgp43mtlhLcrsAx6XtEUM2p3gdL0VHgN2kvTmmEZ2J8wxbpbKLyF5\nO282zQyQKWlvwvTN/czs1ebUHCjXzO4xs4lmtmm0u4XAdtHuykZqOxjqnU1n+DxxOFKUSbWVl94S\n875spNkeBLtotKyqSQ17bqY8HOo+Vo9fOpG0BsE/wN0kelY18o+/pJLfIVKNVEiS/9dIi/c1Kidl\n+VEjXd3ThE5FlD+fpMnpbpGk5ZfiiroKq/d8vEXd2kGRdaLhSFpnGo4i6lR1xltEuq+H1HWz4Sii\n7tYOmrWBVPWeJPWbVPWYlHWVlHWSAuoflWVHM3Kq2VijfQr1YyVwOpb9CF+67id8NZlR5fjOwBuE\nobp3EuYC7k3oeLkhXvtrwhSo7JrvEDzk3wVsnwufHuN5APga/Y69NiHMlX6A4An9TTF8VeCn8Zp5\nwJScrG8Br8Tf7wmdHs3q9BxhFbPHCE6639SATlcQehpfJXSS9cX472hQj5sJQ6GXR30Oj3E8RVit\n7RUGOns7Mcq5F9ir4n0+H2W9Hu/p8Ir7eYEwt7eeZ5PJei0nawfCl7ZX4/3uUqdeg9JZredcJhto\nUmZVu0mo8y6kW+Xt3YQCtJfwxWpsApkzYxr4c2ZTTcq5MGdfWfobTw07b0HmgwRHenfE3/dS6Fpx\n/K+U1Cl31C+JHTT6zmrlP0PIT1YmDRHHu6Lc3piG/yOGN1xW1fnMVthzyjiirOw53Z2918TPalD+\nkVJ+m21gSBtuQE6y/L9WWmzxPlsqP2qlqyZlJSt/CNP7nwHWavH5JCm/oqzfEjrb7gR2bfXdteNH\nAXWiOuIstM5UR/zJ6lR1xpe83lVnvMnS9jDxJK+7tfPXqA00er+1ysFadtBMmVqr7KCFOgYt1lVI\nXCepZkdNPqtBZUcLOg2ysVae+VA/RSGO4ziO4ziO4ziO4ziOUxdlmvI26pH0iKSPFCT7bwpe+h3H\nSYDCag7/1Wk9HKceJD0lqZ0+KqrpcJGkkzqpg9M9SFpV0nJJ7V5x1XFKh6RdJD0+/JlJ4por6TPt\niMtxyoSk6yR9Mm5/VtLcTuvUDXiHUgFI+qCkP0haKulZSb+T9J6E8ifHStbz8fdXSScMdY2ZrWVm\nC1Lp4Ixeik7frSJppqS/R9tYLOn3cW6x4wxJ7HjP8tU3JL2UC/vkMNd+VNKDFWGnVKTF3xZpK5LG\nSnpZ0mWJ5a4i6b8kPSDpBUmPSbpS0m4p43HKT2obqYP8yjcXS3olxrVM0i2S3t/UjQxBDVueIGmO\npEWx7Jsv6eh4LOv4yp7D3ySNSAfvDkiaIemXFWEPSrq6IuwBSQcmjj5vDwui/S3L1XU+H/2lFIak\nrWOje3H8/UnB92PW6fVGLo94XlJZ/RM5bULSTySdXRG2S2xDrJ84rvMlvRrT3lJJt0raud7rzeyj\nZpb3X5StmrZSzOc3rnHpqMY7lBIjaS3gKoJfpfGE1dpOJsxlTYkR5jmvTVgJ6iuS9qqiz0qJ43VG\nMSnSd5vS5MXRNtYlOMn/+TDnD8JtZ/QRO97XjmnnUWDfXNhwDmxrLbF6bi4t3kKYs14UBxFWGt1X\n0viEcq8iONE8iOAXYDPg+4SVCAfhtjNyKchGhrtmRfTAf8W4xgLnEVbTSU01Pb8T/99mZuOAfwIW\nVOi2RdRtLTPzUVUjl98SFtARQGwQrwxsXxG2WTy3KIxgf2MJS4OfCpwAnD3kVa1zFWGxnPXi7wsE\nH6cZT2R5RPztX7A+Tvn5AjBV0u4QOuGBHwDHWsLFMNS/etnXYtobR7CHhtsA1cTTePk1avAOpfRs\nAZiZ/dQCr5rZDWZ2j6RNJf1v7JF9OvbYrl1NiAIzJD0k6Zn4ZW5c5WmEyOYRPLe/M167XNIRkh4g\nON3KwjaN22+WdHr8urEkfjVfNR7bSWH0yRJJd0rapZCn5HQrNdM3gKTPxS+3z0u6R9K2MfwRSV+W\ndBfwgqQxkjaQdFm0hYcl/XsWyVDpX/0j9A6T9Gi8vuo0GgtLZc4B1lf4wixJ/xnT/iJJ52Y2mJP7\nGUmPAv8bw7MRWUtifPmVVyZIujre780KKwo6I4NBK2zFvPO7kp5UGKVzWvxqNYFQYdlU/aMUBnTo\nxLR4IbCJwooiK0ZCSPqPmM4flzRV0n65tH9cLv4PSLpD4Yv0k5K+VqHzNOCbwMOEVUIq2VnSvbEM\nOkvSm6Lch5Wbbq0wImmppLdL+gfC8r77mdmdZvaGmb1mZr8ysy/lrnlK0hcl3QMsi2E7SOqN+p5P\nWPHTGTm0bCMxTc+L6W2hpG+ov1EwHBcS8vasbNhSYcTsUkl9ks6N4dkIos9Hu1oabW4LhVFOSxS+\nao+poecE4H3ABWb2AoCZ3WcDl5NPtSKfU37+RMjLto37HyasnHR/RdjDZrYopvFbYzobMKpOoR50\nhaTnFEY0/Uvu2JtjHWVxzFffV0WXrB3wNzO7mtDpP03S1lHGKpL+J9ZdnpL0PcX6fjy+v0Jdf1ks\ni6p9mN5A0l2SjpO0DsGp74/M7PX4u9nM/tjsw3RGPma2mNCp9ANJqwOzgIfM7HwFTop589OSLlT/\ninCSdGlMu4sl3Sjp7ZncmG9/R9KvJP0N+GCV6C8E3iLpLfGar0r6cU7GZpKW5/Z/p4H1/IzfxP+s\njfPx1p7KyMI7lNLzAPBGLAT21sBOIAFfByYCWwGTCEZVjaOB/YAPARsSVjL7XsU52ZeQnYGtCR70\nM/YnrIC2ddzP96qeDmxHaCRMICxRnvkpuJrwBXA8cDzws1iAOA4Mkb4lHQB8BTg0fr3ej7BKYMbB\nwFRgHCE9XkVYXWEDwnKWR0vaM55bT/rfGdicMHLiK5K2rFQ2VpwOBxbGAu1wwhKbuwCbAmvR/+U5\n48PA24GPSnorcA1hRNZbCJXF3op7mhnv6WHCipHOyOW/CB337wDeA+wKfDmmrY8Df82N1liSvzCm\nxcOARWb2Yu7QZMIIv/WB2YRlej8R49kT+JqkDeK53yF8eRtLSPu/yMnfHNiRUHm6MMZVycFR5y0J\nZUDWIXQxAzug/jHey30E2/yDmT1bx/M5MJ6/TrzfywkjmSYAvyLYtDOyadRG/g4cGb8kfwj4B+Bf\nqkrOoTAKbhpwv5ktjcGnAJdHWRsDZ1Vc9hHCakO7EPLtMwi2tgnBdj5RQ8/FhFVvTlP4kLFZMw/G\nGRmY2WuE0aYfjkEfJoxE+n1lmMKHhauBHmAdQof/L9X/weFiwkpcEwlLdX9d/VOJZxHS5ibAR+lf\n0nso3f4ELCTYEsBpwNuAbeL/RoR6GpJ2IHxw+2IsUz7MwFF3SJoM3AScYWbfMLPnCKtAXRA7o9Yb\nTifHATCzy4DbgYsIefy/xkNfJLQNPkhoF78IfDt36VWE0X4TCatUnl8h+pPATDNbi5BPryBXTjw8\nTB2mnpFHHya0u7eK5cLldVwzemhkSTj/1b3E45aERsFjhMrSFcC6Vc7bH7g9t/8I8JG4PR/YLXds\ngyhrDKEBshxYTGiw/4VQIcvOXQ7sUhHXckIDWsBLwDur6PNlYE5F2LXApzv9TP1Xnl9F+n6N0Khd\nL6aVf69xzSPAtNz+DsCCinNmAGfH7eHS/xvABrnjtwAHxu2ZhAb6YmARYanNbeOxG4B/y123RRW5\nkyt0+lmNezoH+EFufyowv9Pvx39pfvn8OBe2MJ+3EjpI5sftjwIPVJx/CvBKTIuvx/T4/tzxjwJL\ncvtviXn1O3Nh9wB7xe15wInAhCr6/jfwx7g9Jca3Ze74U/m8nNBovjtubx11XDnuX0ZoZECovP04\nd90GhA7epRW6PwUclNvfk1CJy+t4O3BSp9+t/9L8UthIFZknEEYCQVjGeDmwYdy/iFB/WQy8TGh4\nfCJ37SWETqKJFTIzOdvmwu4hV14ROmu/XktPwlLO/0n4cPd3wlLMu1fIXxJ/i4FTO/1+/Ffcj1DP\n+Fnc7iU0eD9aEfZp4FBgXsW1fyR0+E8i1KFWzx37epbfEj5S7Zk79jngsdz+IPuL4TcDJ8btF4BN\ncsfeT+gsBTgTOL3G/c0lfHx+hFi3yh3bMNrZg4Ry5ibCVFAInbVvRBvIbOGfO/2+/FeOH6Gt8Dfg\nqFzYA8CHcvtvBV6pcX1WR1ot7p9PGC2XP+f8WD5k5cRL+TQMfJWBdZrNgDdy+78DDovbnwVujNsr\nxbg37vRzLOPPRygVgJndb2afMbONCV/qNgR6JK2rMHVnoaSlwE8IxlGNycDlcYjfYkID+zXCV2wI\nvanrmNk6ZvYOM/tuxfULa8h9C6Hy89cacR6ofkd7SwijQDaocq4zSqlI3+8gpm9C5ejhIS7Np8nJ\nwEYVae1EQmGTHR8q/QPk512/BKyZ27/EzCaY2UQz28PMslFFGxL8fmQ8SvB9kJeb1/Otw9zToiF0\ncEYeEwkdqRmPEr74DsV5ZjYhXvsw/VMiMp7Jbb9MyNufrgjL0tU04N3AAwpTLPPTEw4FLgCwsADD\nLQz+op1P248S7AEzmx/va6qCn7SphMY7hI8WK8oAM3vKwgjWnQllSS35GzK4HHoUZ6TTkI1I2krS\nNQpTkJcB/5fa9SKA/455+2rAB4DvSto1HjsGWAO4U2Gq5acqrq20q76K/Zr5t5m9bGb/bWbbE0aa\nXE0Ywb1G7rStzWx81G/GEPfgdD+/BT4YR2m/xcweJnQUfSCGvTOeU1nngH6b2BBYbGYvVTkGg/PQ\nevPPjYDFktYFVgduz9WlfkVIvzB8/eaQGP8AP2Vm9qSZfcHMNifU1V4ijHTKeCLaQGYLSReJcLoX\nM3saeJZQp8/YGLgql0b/TJgJsZ7CNOTTFKblLyV0YhoDy4hqKx+ekisndiC0wXcv5KYcwKe8FY6Z\nPQCcSxhmfQqh5/6dFoZkH0rtOfePAVOjQWQZ8xpm9lTunKHm69cavvcs4Yt5tSHbjxMbP7k41zKz\n04aIxxnFxPQ9h1B5epwwpLrm6bntxwlfyfJpbayZ/WM8Xk/6b4YnCRWgjMmEjqp8w6JSz6HuyRld\nPMXg9PNE3B5yyLSF4db/Bpyq4JOlYWJn7sEEB9/fBn4uaWUF/0cbA7Oir4GnCFMcDq0Q8dYK3fMr\nUV1MaEB8ArjVzLJj/0toJK1bj4q57acIncx5fHWUkU+jNvJDwsi1TSxMu/kqdfoiMrO7gFuJzuFj\nZ+dnzWwDwrTpH0uqTIN1iR4m3r8RHCCvzcA07T6URg83E6a6/yth4Y8sXTwZw54ws0fj/pSKazcm\n2MSTBD+Ma1Q5BsGWKvPsIZH0PkJH1O8I9f2XgHfk6lLjop1BqN8MNX1zVpRxkVR95TgzewL4LtGH\nq+M0weOEkXiV9YbvuFMAACAASURBVP2nCSP59gZ2je3mtzHYX91w+fU9hNHd+8agFwkdrRn1Dpqo\nZ1rcqMU7lBKj4BTyOEkbxf23EuZ33kz4+vUC8Hw8/qXakjiLMJd64yhnXUl5/xNNVVzMzAhTdb4R\nHe2NUXDE/SbCiKl/lLRXDH+zwrKOvlqJAwybvn8EfFHS9vHYZvF4NW4l2MGXYzpbSdI7JL03Hi8k\n/RNGXRwraYqkNQk+jy42s8whX6XcC4DdJf1z1HGCpHc3GbfT/VwMzIzpYD3gJPrn8/cB61U0DgZg\nZncTHDseP0QcNdO2pE9LmhDz8ecJw6+XE0YiXUWYuvbu+NuW4Mso/1XuC5ImKjinPCHeT8ZF9Puv\nuTAXfjVhtNMVkt4TO7DeRPDBNxS/Bd4s6V+j7XyS0MnljGwatZE1gWVm9rKkdxCm9dSFpHcS0mG2\nKMSBOX9jywgNgNebuIdBekqaKWm7mP7fTOiwegZ4qAn5TpdjZq8AtwHHETpvMv4Qw7LV3a4BNpd0\ncMwHDyL4UL3KzBYSRjWdouA4fhvCFJufxGt/CpwoaVzsGD2qlj6S1lJYQOEi4Hwzmx/LiR8SZ0jE\n8zbKjWw9Gzhc0m4KbChpi5zY1wh+ndYAfhLPGSdpVqzfKZYlnyHUAR2nGc4i2MBbAeLIpOzj8loE\nFxZLYn78dRrs2FFwUP8BYjlBmI66i6RJcTThCfXIie2EZwnuY5wKvEMpPX8jOHe8RcHj/B8Jw/e+\nSHBW+R6C74mrGLzcbd5IvkXwvXS9wjDwPxKG7VU7t5Jqx/JhxwN3E1aqeI7wpW1MLNz2J1QAnyEM\nrz0eTydOPzXTt5n9jNBBc6Gk5wkOebORGAPSZMyY/5HQ6H2EMBXhh4QvvtB4+q+3gPkxoXHzW8JQ\n75cIK09UlWNmjxO+fh9PmI99J94oHi1US1NfIQzV/gvBl8rvgP8HK0ZLXAk8qjB0u3JVzoz/AY4Y\n4vhQafsfgPujTXyNUNlfjeAP6Vtm9oyZPR1/DxMaF9Nyci6mfzWiuzLdo/6PxrD3AJfmwi3GewPB\nR81SQiP6Y8SRIdX0jg2ujwNHEmxnKuH5OCOHFDZyHPC5WGZ8m4GdnNXi+L8KK+w8T6hHfcfMzovH\n3k+Y3vM8Ia1+zswW1ZBTs8yooecYQkP/OcIX9fcD+1hw0DykPGfE8hvCaNHf58J+F8N+A/+fvXcP\ns6uoEr5/K0HCRcmFS/dAhrQgKA5oQCV86gtBQQnOADofEK/pqDMqMgYZhcB8n4FxRi4zSIu8CmoM\nwRckghdgRIiMfZgPFbyQAyh3oYUE0wgkOMAQCVnfH1Unvfv0Pt3nUrUvfdbvefrpvWvXXrX2rqpd\nl1Nr1dbdrf4a14d40v9/l45s2vBenNPtx3Fjgv9XVX/ir52NW639CM5HZa2cJ7netweP4twG/Dtu\ngqfG6bjv9W3iTIZW43xHos6B92Kcy4JncL6Qaqug1MfZDLzHP9Ny3OC+D/ixv+cunNXD4olelmF4\n6r+VF+BMMf/Tl+VbgdqPyytwK/Uex41bb627t9F398xEO/FD4FJV/SaAqt6IG5/cjVu5dG3dveN9\ny5fhVuw9LSLHjROv6xDXV2zzZpHluA/lsKq+zoe9HufobTvc7PYn/UcLEbkI16l8DuhP+DUxjEKT\nVtYT1z6D20ljF995aFjWRWQR8E+4D9a/JjrChlFqxG31/WvgMVU9RtyW3YcyslKgX1Xv8nGtLTAm\nFX4FweU4H0Iv4Rz2f1lEluFW3dT895zpO7SIyBm4wd9mYImqrs5ec8MIh4h8GrfKZgtuwLYYZ4J1\nFTATN8n4QVXdLCLb4urMG3CTLSeq6qOpgg2jJNjY2OhGOl15sgK3q0GS83Hb9x2Im8k7H0BEjgb2\n9k7cPoarWIZRFtLKem0QcQQJZ4kisoCUsi5um9jPAW/CrfJZJiLT62UaRklZgluVUENxK9cOVNWD\nEpNJqfXDMErOZuBUVX0tbvXKySLyGn/ti74OHJSYTNoPOAFn/rIA+IpIup8SwygD4twj/ANwkB9I\nb4NbgXMebjexV+NWOH7E3/IRnFPqfXCrZMxfpzEZsLGx0XV0NKGkqrfitoVMsgWoDZJnMOJc7hj8\nck1VvR2YLiI9GEYJaFDWAS5krC+sY0kv6+8EVqvqM6paW3p8VDytDSMb/MTq0Tg/WknS2phG9cMw\nSouqrq/9sqyqz+K2la/t1pQ2UXQszn/bZnW78j3IaLNewygjU4EdRWQbnDnu48DhjLh4WIkzlwVX\nB2q7g10D2C5MRumxsbHRjcTwjfNp4N9F5FHcDOwZPnwPRm/tt46Jt1s2jMLincY95h3tJqkv62t9\nmNUBY7JSm1itt6H+F3Hbd1/gHTmD1QNjkiMifTj/cLf7oE/6evCNxKpUqwfGpMLvDHkBzp/POpy5\n8x3AxsTGF7X+ECTqgKq+BGyUNnfANIyCY2NjY1ITY0LpEzhfAHviKtA3fXjaL3TmxNAoJSKyPc4X\n0rK0yynnmhIOVgeMkiMi78L5CqgyuowvVdX9cCaeOzOyk4bVA2PSIm73yGtw/aBnga/gTBrmAutx\nA26wemBMMrzz8mNxjp13x+0OtiAlaq2cN+orGcZkw8bGxqRmmwgyF6nqEgBVvUZEaiYQa4HkFuKz\ncUthRyEiVpGM4KhqaN8Ue+N2urjT+72YDdwhIgfTuKyvBebXhQ+mCbd6YMQgQj0AeAtwjPcFsD3w\nChG5XFU/5NN8UURW4Ha6BGsLjByJVAcA8GY+1+C27b7Wp/fHRJSv43YmA6sHRo5EqgdHAA8nNif5\nPm677hkiMsWvUkqW81odeFxEpgI7JXY/24rVASMGMduCFDoaG4PVAyM8IetAiBVKwugZ1nUichiA\niLwd5xcA3BasH/Lhh+CWwA6nCVTVIH/Lli1reM2n1HR648kKpVNesoqoU0hZAdla1lX1N6raq6p7\nqeorcY3Cgar6xDhl/SbgSBGZ7h10H+nDUgn1HvPKvyKn2Y3pxkJVz1TVPVV1L2Ah8BNV/ZCI9Po6\nIDifGb/xt2TeFuSZF5ZGMeSrZtIX/yZwj6p+qRZQqwee9zC6HiwUkW1F5JXAq4BfpAktw7uOlX9l\n0bUsMlWj1oNHgUNEZDv/3X87bqOGQeB4H2cRI9t0X+fP8dd/0khw3u8yRF6YDsXRIQOCj40hTFtQ\nxHFaEXUqy/P5kkErcxoj94WjoxVKInIlbsXFzt4utLY97kX+14YXgL8HUNUbRORoEXkItzXi4k7S\nboahoaHCyTKd8pHVKWllXVVXJKJsNWlrVNZVdYOIfB74lY9/tjrn3IUhj3eeVz53W7o5cIWI7IKr\nF1Xg45BPW9CILPLC0iiG/NiIyFuA9wN3i8ga3Df+TOB9IjIX55R1CLeTD6p6j4h8B7gHt430SRqj\nl5dCjHcdK//KomtZZMZEVX8hItcAa3Bleg3wNeAG4Crf/1kDLPe3LAe+JSIPAk/hfpCIQqfvMkRe\nmA7F0SEmNjbOT05RZRVRp9B0NKGkqu9rcOmNDeKf3El6hpEX45T12vW96s5Ty7qqXgZc1kyaRx+9\nkB133I5LL/0is2aZn0qj+KjqLcAt/rjhjj3WFhiTDVX9KW6Hq3puHOeec4BzoillGBmjqmcDZ9cF\nPwLMS4m7CTihGbkbN7rf3nbaaSemTInh/tUwwmBjY6MbmdRf5f7+/sLJMp3ykVVGfvSj47jhhtu5\n++76TeTikcc7zyufuy1dYyxZ5IWlUQz5xggx3nWs/CuLrmWRWVZ6evrYZZde/u3fLmzr/k7fZYi8\nMB2Ko0M3U8RxWhF1CimriDqFRjJaYd00IpLJqm9n3u2slIr2DoywiAiarfO9jnHO95Tp0w/j2mv/\nmcMOOyxvlYySU7Z6kFVbYHQPZasDEK4e9Pb2MTz8ewB6euawfv1QxzKNclK2elDrD8G/sWTJEwwM\n/FveKhklp2x1AKxPZKQzMp8BrcxphK4DHa1QEpHlIjIsInfVhf+DiNwnIneLyLmJ8DNE5EERuVdE\n3tFJ2s1QqVQKJ8t0ykeW0Rx5vPO88rnb0o2NiEwRkTtE5Dp/3icit4nI/SLybb8DFt4J8VW+Lfi5\niOyZl85Z5IWlUQz53Y6bTHKOO2sTSyGJlX8x5HazzG6l03cZIi9Mh+LoEBMbG+cnp6iyiqhTaDo1\neVsBvDMZICLzgb8B9lfVA4B/9+H74Wyl9wMWAF/xu0AYhmEY5WcJzsFwjfOAC1T11cBG4CM+/CPA\n06q6DzAAnJ+ploZhGEZwRGRfEVnjf1hYIyLPiMinRGSmiKz2Py7cJCLTE/dc5AfTVe+83jDKjo2N\nja6jY5M3EZkDXK+qr/Pnq4BLVfUndfGWAqqq5/nzHwFnqertdfGiLelLLvl2mMlbN1DWpa1m8maE\nJGY9EJHZuE7UvwKnquoxIvJHoEdVt/jtcJep6gIRudEf3+53PFmvqrumyLTl3UZQytoWhKgH7S6L\nNyYfWdQDEZkCrMU54z4ZeEpVzxeR04GZqrpURBYAJ6vqu0RkHvAlVT0kRZaZvBlBiV0HQo+N/TXr\nExljmBQmbw3YFzjUmzoMisgbfPgewGOJeOt8WGYkl3wbRiukLWEVkfP9EtWqiHxXRHZKXEtdwioi\nR/klrw/4jpVhTAYuBD6L/7iKyM7ABlXd4q+vZeR7v7UtUNWXgI0iYtsYGoZhTB6OAH6nqo8BxwIr\nffhKf47/fzmAH0BPF5GerBU1jAwo7NjYMEIQY0JpG2CG/5XhNOBqH542CxZ1ZqeINoumUz6yAjBm\nCSuwGvgrVZ0LPAicASAiryVlCav/xe5iL+evgPeKyGsy0r8pzIfS5E03FiLyLmBYVauMfOeFsd98\nTVwbJYKcZvlj5kVvbx8igojQ29sXLR0wH0pG/pgPpXLIzJATgSv9cY+qDgOo6npgNx+e2WC6CH57\nTIfi6JADNjbOQE5RZRVRp9BsE0HmY8D3AFT1lyLykv+1ei2QdL46G3g8TUB/fz99fX0AzJgxg7lz\n5zJ//nxg5EW2ew6VMelVKpUJ70/G7ST9arXa0f0xzqvVajB5RXi+arXKxo0bARgaGiIEqnqrX8Ka\nDLs5cXob8Lf++BjgKlXdDAyJyIPAwbiG40FV/T2AiFyF+4XuviBKGkY+vAU4RkSOBrYHXoHzjTRd\nRKb4VUrJ7/1a4C+Bx73J206quiFNcMy2IPS3r/7crYgd9MeHF+Jb38l57G97DPkx2gLDMMZHRF6G\n6wfVVmE3GiBnPpg2jJzoeGwMYfpENYreh2r3vNueLxGSer12/8DAANVqdWv5CU0IH0p9ODvRA/z5\n3wN7qOoyEdkX+LGqzvGrNq7A2VPvAfwY2KfeIDSmjWi9naH5UOoOQtmJ1ttE1127Dvi2qn5bRL4M\n/FxVr/TXvgHcgCt071TVv/fhHwAOVtVPpcgzH0pGUDLym3EY8I/eh9Iq4HuqukpEvgrcqaqXiMhJ\nOMeUJ4nIQuA4VV2YIqvU/gLMZ03xMB9KVh6NTPzHHAOcpKpH+fN7gfmqOiwivcCgqu4nIpf441U+\n3n3AYbXVTAl5CouAdcyb9xwLF54Q/McFO5/c5/U/LqxcuTJ2Hegj4NjYyyh1n8iIQ1F8KHU0oSQi\nVwLzgZ2BYWAZ8C2cedBcYBNucHGLj38GboefF4Elqro6RaZNKBlBiT2hJCL/BBykqn/rzy8GflY3\nofRDYCrwjroJpTep6pKUtGxCyQhKDhNKrwSuAmYCa4APqOqLIjIN104cCDwFLFTVoRRZpe482QC+\neNiEkpVHI5MJpW8DN6rqSn9+Hm5nz/O8E+IZ3in30cAnvVPuQ4ABc8ptZEHMOhBjbOzjlbpPZMSh\nKBNKUzq5WVXfp6q7q+o0Vd1TVVeo6mZV/aCqHqCqb6xVGB//HFV9laru16jChGTscrD8ZZlO+ciK\nhYgsAo4G3pcIrpn01KgtYW1paSv088ILQ6xYsYKBgYFR76NSqUQ5r4XFkp92Xp92VukPDAxkml7W\nzzswMMBZZ53FWWedRX9/P1mgqreo6jH++BFVnaeq+6rqiar6og/fpKonqOo+qnpI2mRSViTfWcRU\n4qeQwXPETiObvIiHiMwWkZ+IyD0icreIfMqHd8WW6bHyL4bcbpYZGxHZHueQ+3uJ4POAI0XkfuDt\nwLkAqnoD8IiIPARcCpwUS69O32WIvDAdiqNDTGxsnJ+cosoqok6hieFDyTAmK6McDYvIUTjneoeq\n6qZEvOuAK0TkQtwS1lcBv8BN4L7Kr3T6A7AQeG/j5C5ju+0OY/HixWNWKNWW8oY+r32oYsm38+zO\n68NWrlyJYRjR2AycqqpVEXk58GsRWQ0sBm7WkS3TzwBqW6bvrar7iNsy/RJgzOoMwygTqvo/wK51\nYU/jJpnS4p+chV6GYRhGPDr2oRQaM3kzQhNiWV+DJaxnAtvizHYAblPVk3z81CWsfhLqS7jJpeWq\nem6D9MzkzQhK2cx9yr6820yMikeWdUBEfoDb1fNivF+YCfzHbPUzUyfHTN6MoJSxLTCTNyMkZasD\nUP4+kRGHSWHyJiLLRWRYRO5KufYZEdkiIrMSYZNmebfRXTRYwrqPqs5R1YP830mJ+KlLWFX1RlV9\ntb83dTLJMMqEiEwTkdtFZI039Vnmw1eIyMM+/A4ReV3iHmsLjEmLd8g6F7f7Z+5bphuGYRjZYGNj\noxvpaEIJ52DsnfWBIjIbt7z194mwrcu7gY/hlndHpYg2i6ZTPrKM5sjjneeVz92Wbiy8uefhqnog\nbhC9wJvwAHxGVQ/0E653QT5tQSPMh1Jx0pgs9cKbu12DW5n6LDlumd7b24eI+F8w42I+lMohs1sp\ngt8e06E4OkTGxsY5ySmqrCLqFJqOfCip6q3eH0w9FwKfxfmSqXEscLm/73YRmS4iW3+5MwzDMMqJ\nqj7vD6fh2pUt/jxtJGttgTEpEZFtcJNJ31LVa33wcK18e5O3J3x4o80bxtDf309fXx8AM2bMaHrL\n9OHh3wODXsrh/n9llOzx7m/lPLS82nm1Wg0qr1JxW4iH3qI81vOHet7klukx8U7nvwHsj2sHPgw8\nAKwC5gBDwAmq+oyPfxGwAHgO6FfValQFDSMyNjY2upGOfShJ3VbqIvI3uF+rTxWRR4A3qOrTInI9\ncI6q/szHuxk4TVXvqJNnPpSMoJTVVtp8KBkhibxN7hTg18DewP9W1TNEZAXOyfAm4D+Bpar6YhHa\ngiwwnzXFI3ZbICKXA0+q6qmJsI63TG+37KT3edyxlcfuJXJbcBlwi6qu8BOsO+L8TT6VcEw/09eB\nBcDJvg7MA77UqA6YDyUjJBm0BUHHxv5aqftERhyK4kMp6C5v4rYL/SfgyLTLKWGpT93ur3HNnKeZ\nH1QqlUL9mmTn5fk1zjAMUNUtwIEishPwfRF5LW4CaVhEXgZ8HTgd+BcK0hbEPndUcL7889enG88z\nXpnxFuD9wN0isgZXps/EbZn+HRH5MPAocDy4LdNF5GhxW6Y/h9sNzjBKi4i8AvhfqtoPoKqbgWdE\n5Fig9qvYStyyuaXY6gyjCwg1NoZy94nsPM75CKPP6+MPDAxQrVa3lp/gqGpHf7glrHf54/2B9cDD\nwCO4Ha6GcE4oLwFOTNx3H85ZZb08DcXg4OCoc0BB/R9b/7cjK5RORZBVRJ1CyvJ53HFZz/KvVj6n\nTz9UK5VKkPfQDCHzr8hpdmO6WdUD4HO47dOTYYcB1/njzNuCRsTMi5E2ZrDpdqZdsihTsdPI4hnK\n2hZ08rxj+zwapTzGyr8YcrtZpmq8egC8Hrgd50PmDuBrwA7Ahrp4T/n/1wNvToTfDByUIteX2/N1\nyZLPtPXMnb7LEHlhOhRHh9htQeixsQbsExVxnFZEnULKiqlTu2176DowpdmJp3EQ/4eq/kZVe1V1\nL1V9Jc5HwIGq+gTOZvRDAH5590a1XyGMkpC2a4OIzBSR1SJyv4jc5H0H1K6l7togIotE5AF/z4ey\nfg7DCI2I7FIr+/6XuCOA+7y/GMStxz0O+I2/xdoCwzCMycc2wEE4s+eDcCvvlpKjY3rDyAkbGxtd\nRUc+lETkStx6/p2BYWCZqq5IXH8YeKOqPu3PLwaOwi/v1oxtRM2HUncSwk5URN4KPAtcriM20efR\ngl8AEZkJ/ArX4RKcz5mD1DunrEvPfCgZQYnlM0BEDsCZMUzxf6tU9V9F5D+BXXBlvQp8XL3z7rzb\ngiwwH0rFo6z+9NotO419KG0HbKKnZw7r1w91rKNRLiK2BT3Az1V1L3/+VtyE0t7AfB1xTD+oqvuJ\nyCX+eJWPfx9wWP2A2vWHFgHrmDfvORYuPMFMfey8pfN68+eVK1dGawtijI19vFL3iYw4FMWHUsdO\nuUNjE0pGaEJVmhQne1s7PxN0ku7FNS6H+/if8OFfBSq1eHVp2YSSEZSyDabL3nmyCaXiUbY6APGc\nclv/p3uJ7JT7FuDvVPUBEVmGM3mDDh3Tm1NuIyTd1hYYk5eiTCiFMHkrLGMdVo1Pb28fIoKI0Nvb\n15GsUDplIauIOoWWFYndar+kqep6nD00wB7AY4l4a31Yffg6H1YY8njneeVzt6VrjCWbvGgujfHa\nnwlTyOA5Yqdh9aLcxMq/GHK7WWYGfAq4QkSqOJ9KX8A5pj9SRO4H3g6cC84xPfCId0x/KXBSLKU6\nfZch8sJ0KI4O3UwRx2lF1CmkrCLqFJqOdnkTkeXAXwPDiVUb5wN/g9sq+ne45Xt/8tfOAD4MbAaW\nqOrqTtIPzfDw76nN8g0Pl2ri2igW9YVn5OfgsYwzldzPCy8MsWLFCtasWZPJEu8aRViiHPu8Wq0W\nSp8Yz5fFDlciMg34L2BbXJtyjaqeLSJ9wFXATJyD1g+q6mYR2Ra3s88bgCdxDikfjaZgSbD2xzCM\nsqOqdwJvSrl0RIP4J8fVyDCyZbKNjQ2jGTr1oZTmV+YI4CequkVEzsV5ET/DbyN9Ba6hmY3bzWGf\n+vV7eZq8mYnC5CSiydu9tOAXAGfyNl9VP+7DR8WrS8tM3oygRDZz2EFVnxeRqcBPgSXAqbjJpau9\neWdVVS8VkU8AB6jqSSJyIvBuVV2YIrPUy7tbbU+s/YlPt5k5mMmbkUbZ6oGZvBmhidwfCj429jJK\n3Scy4jApTN5U9VZgQ13Yzaq6xZ/ehqsgAMcAV6nqZlUdAh4EDu4k/WZImhEYRods3bXBcx3Q74/7\ngWsT4Wm7NtyEW/Y93TvoPtKHGUapqTnbBqbhVikpbgL1uz58JW6nN4Bj/TnANTgTCMMwDMMwjFJT\nhrGxYYQmtg+lDwM3+OPM/cdUKpWEGUFns7qT2Y6yiDqFltUpfteGnwH7isijIrIY5wegab8AqroB\n+Dxup7fbgbNVdWPmDzMOebzzvPK529KNiYhMEZE1wHrgx7gl3RsTHaiaHzFItAWq+hKwUURmZawy\nUCwfSh2lYD6UjJyJlX8x5HazzG6l03cZIi9Mh+LokDO5j42LJquIOoWUVUSdQtORD6XxEJF/Al5U\n1W/XglKiFWDt3rQGq5dcuG2rawCo6vsaXGrJL4CqXgZcFkYrwygGfuLoQBHZCfg+sF9aNP+/kY8x\nwzAMo8SIyBDwDLAFNwY42K/IXgXMAYaAE1T1GR//ImABbsv0flWt5qG3YWRBecbGRpHp7e3zC2aK\nQ5QJJRFZBBwNvC0RvBb4y8T5bODxtPv7+/vp6+sDYMaMGW07I66FuV+Ik8dJNgGD/rokrm8ClOFh\noVKpBHOWWwsLIW/+/PnBnPkmdSv782XljHgykszHyZxmN6abBar6J79t9CHADBGZ4iebkt/7Wlvw\nuPe5tJNfvTeGUG3BeOc1Qskbnb8Vam1P6Pix2oIsvu1Zybe2IDtifddiyO1mmRmwBecrMvlNXwrc\nrKrni8jpwBnAUhFZAOytqvuIyDzgElzbEZxO32WIvDAdiqNDHnQ6NoZs+kR59KGy6MNMpudzk0mD\nXrPDaxqOq+/AwADVanVr+QlNR065AfxOPter6gH+/CjgAuBQVX0qEa/meGwebjnfj8nAKXczTinN\naeXkpmwOKMGcchvhiVUPRGQX3C9uz4jI9ji/YOcCi4Dvqeoq75T7TlW9REROAvb3TrkXAseZU25z\nyp0FkR2xpu3sswz4O+AJH+1MVb3RX2tqZx9zym2EJnI9eAR4Y13//z7gsCY2MNm60UmdTHPKbQQl\n9rgg9NjYxy11n8gIx3hteymdcjfwK/Nl4OXAj0XkDhH5CoCq3gN8B7gHZzt6UuyaUT+7WARZplM+\nsozmyOOd55XP3ZZuRP4CGBSRKs432E3ej9hS4FQReQCYBSz38ZcDu4jIg8ApPl4uZJMX8dPI4jli\npzEJ6sUK4J0p4V9U1YP8X20yaT/gBJxp6ALgK1LynUNi5V8Mud0sMwMUuElEfikiH/VhPbVJIlVd\nD+zmwzPzH9PpuwyRF6ZDcXSIiY2N85NTVFlF1Ck0HZm8NfArs2Kc+OcA53SSpmEYhlEcVPVu4KCU\n8Edwv7rVh2/CDaYNY9KgqreKyJyUS2kTRcfid/YBhvzk6sG4CVnDKDNvVtX1IrIrsNpvWtJogGz+\nY4xJh42NjW6kY5O30JjJmxGaDJa2fhr4CM53wN3AYmB34CpgJnAH8EFV3Swi2wKXA28AngROVNVH\nU2SayZsRlLKZfpZ9ebeZvBWPDNqCOTgzh6TJ2yLgT7jdPf/Rm4Z+Gfi5ql7p430DuEFVv5ci00ze\njKBk1Rb48v8s8FG8KdsEJm9bTePq5KirRuuYN+85Fi48oRC+Y+y8POf1/vRWrlxZqv4QlL9PZISj\niCZvNqFkE0qTnsj+AnYHbgVeo6p/FpFVuGWrRwPXqOrV3n9MVVUvFZFPAAd4/zEnAu9u5D/GJpSM\nkNiEUmckd9VoZvdPm1AqHjlMKO0KPKmqKiL/AvSq6kdF5GLgZ3UTSj9U1e+nyLQJJSMoEf3p7QBM\nUdVnRWRHUtkkhwAAIABJREFUYDVwNvB24GlVPU9ElgIzVHWpiBwNfFJV3yUihwADqjrGKbf5UDJC\nU7b+EBSvT2TkRxEnlDr1obRcRIZF5K5E2EwRWS0i94vITSIyPXHtIhF5UESqIjK3k7SboYg2i6ZT\nPrIiMxXYUUS2AbbH7dBwOPBdf30lcJw/PtafA1yD62gVhjzeeV753G3pxkJEZovIT0TkHhG5W0T+\nwYcvE5G13l/AHd4pZe2eM3xbcK+IvCMv3VvJCzeZpLjdP1vZrrX5NNolizIVO43JVi8AVPWPiRHA\n13FmbdDGzj5nnXUWZ511FgMDA6PeVaVSGffclb/688TZBPc3e14LCyWvRqvP28z5wMBAKZ6/XnYn\nz1srP/39/USkB7hVRNYAt+EmV1cD5wFHevO3t+M2bcD72ntERB4CLgVOiqXY6DqR/f2mQ7F0iImN\njfOTU1RZRdQpNB35UMLZhH4ZZ8JTI/ftQQ0jK1T1cRG5AHgUeB73i9wdwEZ126WDGzzUHE1udUKp\nqi+JyEYRmaWqT2esumGEYjNwqqpWReTlwK9F5Mf+2hdV9YvJyHUOiWcDN4tI6q4mhlEyhIRfGBHp\n9U6IAd4D/MYfXwdcISIX4tqEVwG/aCT0sssua5hgzawjeZ5cTQfz6++Y8P52zmud3FDyaiRNm2LI\nL/rzhzivD1u5ciUx8H7zxgyIff/miAb3nBxFGcPIDxsbG11HxyZvKUu8O94e1EzejJBENnmbgVuJ\ndDzwDHA18D3gc6q6r48zG2fO8HoR+Q3wDlV93F97CHiTqm6ok2smb0ZQMvSb8QNcZ+qtwLOqekHd\n9aWAqup5/vxHwFmqentdvELNMcU2YTOTt/hEbguuxM3W7AwMA8twK1Xn4vzrDQEfq/V5ROQMnO+9\nF4ElfiVHmtyW68FIWbL+jTGWspn7mMmbEZoczJ87Ghv7a4XqExn5UUSTt05XKKWxmya2BxWRibYH\nHVNpDKNEHAE8XFthJCLfB94MzBCRKX6VUtKcoWbq8LiITAV2qp9MGqGfF14YYsWKFaxZs8acUNp5\nS+f1TiizQET6cAPo23ETSp8UkQ+ScEiM++7/PHFbtK2iDSMr1Hb2MQzDMNKxsbExqYmxQulpVZ2V\nuP6Uqu4sIv8BfEFVf+bDbwY+q6pr6uTpokWL6OvrA2DGjBltD6QrlQqHH344MIj74VD8MbgfDjUR\n1vj64ODgKJnNpp92PjAwEGxiIGlH2enA85RTTulYn6I8X5a7OYjIwcBy4E3AJtwA4pfAocD3VHWV\nOKfcd6rqJSJyErC/d8q9EDiuSE65K5XK1neZFXmk2Y3pZvCL3MuBCvB5Vb1WOnRIHLItaHTeyrfP\n/SI00lYk24Xx4wMc3kL85uTHaAvGOw/5bc9Kfrfu7JPHCqVY37UYcrtZJnTnCqVO32WIvDAdiqND\nDiuUOhob+2tB+kS1sKz7UFn1Ybrh+UbmNmBkvqICHL61TU/rY1Wr1a3l5+yzzw5bB1S1oz9gDnBX\n4vxeoMcf9wL3+uNLcFuk1+LdV4tXJ09DMTg46Dyoov4v7Xji6zVZoXQKxWTWKaQsn4cdl/VGfzjT\nhnuBu3AOt18GvBK3SuMBYBXwMh93GvAd4EGc08q+BjIVVKdPP1QrlUqQ99AMIfOvyGl2Y7ox6wFu\nteuNONOdcdsJnC+B0xPXbgTmpdwT+Y20lhf17UPz8QdbjN+c/CRZlKnYaWTxDLHbghh/7dSDVvs3\nIYiVfzHkdrNM1Uz6RFNwviSv8+d9vr9zP/BtYBsfvi1wle8P/RzYs4E8X17P1yVLPtPWM3f6LkPk\nhelQHB0yqANBx8YasE9UxHFaEXUKKSu0TuO17c0Sug6EWKHUh5uFPcCfn0eH24N2qlOdPMyHUndT\ntl/jwHwoGeGJ7D/mctxqpFMTYVsdEovIp3G+wt4nIq8FrgDm4ZZ2/xgY45S7aP4CzIdS+SlrW9Bq\nWTAfSsZ4ZLA649PAG3Am/ceIyCrgGlW92q/YrqrqpSLyCeAAdSu2TwTereOs2DYfSkYoMqgDfQQc\nG3sZheoTGflRRB9KUzq52Tuh/Bmwr4g8KiKLcduB5ro9qGEYhpENIvIW4P3A20RkjYjcISJHAeeL\nyF0iUgUOAz4NoKr34Fbp3QPcAJxkvSTDyINpiAgiQm9vX97KGJMAvwnJ0cA3EsFvw21eAm4V93H+\n+Fh/DnANbsxgGKXGxsZGN9LRhJKqvk9Vd1fVaaq6p6quUNUNqnqEqr5aVY9U1Y2J+Cer6qtU9fWq\nekfn6o9P0t6wKLJMp3xkGc2RxzvPK5+7Ld1YqOpPVXWqqs5V1QNV9SBVvVFVP6Sqr/Phx2li1xJV\nPce3Bftpg92tsiCbvIifRhbPETuNyVYvysEm3C+byvDw7zuSFCv/YsjtZpkZcCHwWfxP5iKyM7BB\n3QYl4DYmqW3CsNUhsaq+BGwUkVlEoNN3GSIvTIfi6BATGxvnJ6eosoqoU2g6mlAyDMMwDMMwDKO7\nEZF3AcOqWsXZYeD/15tVJG01RolIXDMMwzBKQsc+lBoKdjbUHwG2AHcDi4HdcQ74ZuIc9n1QVTfX\n3Wc+lIyglNVvhvlQMkISqx54E4fLcY4mXwK+rqoXichMnEP6OcAQcIKqPuPvuQhYADwH9PsBSL3c\nQlnCmQ+l8lPWtiCmDyUrc91HxLbgC8AHgM3A9sArgB8A78Dt8rnF+4lZpqoLRORGf3y7iEwF/qCq\nu6XIVVgErGPevOdYuPCEqDtO2vnkOy/Kjp/tjo39vYXqExn5UUQfSlEmlERkd+BW4DWq+mfvkO8G\nnF31GMd8dffahJIRlLIOImxCyQhJxEFEL26wUBWRlwO/xvnGWAw8parni8jpwEzvhHIBcLJ3QjkP\n+FKaE8qidZ5sQqn8lLUtsAklIyRZ1AMROQz4x4RT7u+p6irf979TVS8RkZOA/b1T7oXAceaU28iC\nPNqCTsbG/v5C9YmM/CjihFJMk7epwI4isg3ul4rHgcMZ7Zjv3RHTL6TNoumUj6yYiMh0EblaRO4V\nkd+KyDwRmSkiq0XkfhG5SUSmJ+JfJCIPikhVRObmqXs9ebzzvPK529KNhaqur60wUtVncdvjzma0\nw9WV/hz//3If/3Zguoj0ZKq0J5u8iJ9GFs8RO43JVi+6jVj5F0NuN8vMiaXAqSLyADALWO7DlwO7\niMiDwCk+XhSK4LfHdCiODjliY+OIcooqq4g6hSbKhJKqPg5cADwKrAOewS3j21jnmG/3GOkbRsZ8\nCbhBVfcDXg/ch+sY3ayqrwZ+ApwB4Fdn7K2q+wAfAy7JR2XDCI/fKncucBvQU3PErarrgZopw1ZH\nrJ51jDhpNQzDMEqOqt6iqsf440dUdZ6q7quqJ6rqiz58k6qeoKr7qOohqjqUq9KGEREbGxuTmVgm\nbzNws63H4yrM1cD3gM+p6r4+zmzgh6r6+rp7zeTNCErMpa0i8grc8tS968LvAw5T1WFvEjSoqvuJ\nyCX+eJWPdy8wXxM7YPlwM3kzghJ7ibc3d6sAn1fVa0XkaVWdlbj+lKruLCL/AXxBVX/mw28GPquq\na+rkFWp5t5m8lR8zeTOTN6N89cBM3ozQ5GTy1vbY2F8rVJ/IyI8imrxtE0pQHUcAD6vq0wAi8n3g\nzcAMEZniZ2Jn45b6jaG/v5++vj4AZsyY0ZHzPUcFmJ84rmf865VKpVDO5ey8Ned7kdkLeFJEVuBW\nJ/0Kt3R71OoMEZlodcaoCSXDKBN++fY1wLdU9VofPCwiPYlJ1Sd8+FrgLxO3Z9IWdHruqFBrK/KO\nb+cTn2fZFojIcuCvcbtcvc6HdeSY3jAMw5g0dDQ2hmL1iew83/Ox8xWjz+vjDwwMUK1Wt5af4Khq\n8D/gYJz3+u1wU2eXAZ/EdaxO9HG+Cnw85V4NxeDgoAIK6v/Sjie6Ps0foz09c4LoFIpQsoqoU0hZ\nvkzFKutvAF4E3ujPLwT+GXi6Lt5T/v9/AG9OhN8MHJgiV2GRTpu2py5atEgvvPDCUe9jcHAwynkt\nLJb8tPP6tLNK/8ILL8w0vayf98ILL9Rly5bpsmXLdNGiRbHrweXAF+vCzgNO98dLgXP98dG4X+AA\nDgFuayBTY5N8ZxNR3z40H3+wxfjNyU/SynO0S+w0sniGyHXgrThzz7sSYecBp/nj0xN1YEGiDsxr\nVAe0zXrQfP+m/TJXT6z8iyG3m2Wqxq0HMf5Gyun5umTJZ9p65k7fZYi8MB2Ko0MedaCTsbG22Rak\nEfK7EkpWEXUKKSu0TuO17c0Sug5EWaGkqr8QkWuANbjB9hrgazhv9leJyOd92PLGUorCJtx8UoXh\n4cPzVsYoHmuBx1T1V/78u7jBc8erM+AyttvuMBYvXjzG5G30qoZw5+mrJuy8jOf1YStXriQGIvIW\n4P3A3SKyBvfBPBM3mP6OiHwY5zPgeABVvUFEjhaRh3CrMxZHUcwwMkRVbxWROXXBxwK1j/dKYBDX\nPoxyTO83dti6qtUwyoiITAP+C9gWZwFxjaqe7X3rjdkWXUS2xdWDNwBP4gbVj+ahu2HEZnKNjQ1j\nNFF8KHVCEX0omY+BcpOB75hbgL9T1QdEZBmwg7/0tKqeJyJLgRnqtkw/Gvikui3TDwEGtMGW6eZD\nyQhJGf1mFOl7W2QfSr29fQwP/x6Anp45rF8/1PS93UQGbcEc4HodMXlr5EfseuAcHe1H7DRVvSNF\nZsv1wHwoGeMR2a/kDqr6vIhMBX4KLAFOJWVbdBH5BHCAqp4kIicC71bVhSkyzYeSEZSy9YegeH0i\nIz+6yYeSYXQTnwKuEJGXAQ/jVlxMxVZnGIaRAW4ySf1xqfrI3UpaJjXsBbbjN2OE1s7z9gth5+HP\ns/QlpqrP+8NpuDGG4rZFf68PXwksAy7FrdRb5sOvAS6OqpxhGIYRh5D2cyH+KJwPpdb8YDSjUyiK\nattZNFmUzF+A6ojPgOnTD9VKpRLkPTRDFn5MipBmN6ZbtnoQsi1oxGTxodTJvc1iPpSaKrNzGO1D\n6V7cBg0AvcC9/vgSvM8Mf35fLV6KzLaes3UfSs5f5JQpO/jw1vxGmg+lcshUjVsPgCk4s50/AecA\nOwMPJK7PrtURnD+Z3RPXHgRmpchU86FkOoTUoWz9IW2zLUijiOO0IuoUUpb5UOoAEZkOfAPYH9gC\nfBh4gAY7nhiGYRjlo8HuVsuAv2PEd9iZqnqjv3YGrj3YDCxR1dXZa20YURBGrz66DujH+RPrB65N\nhH8SWOVNnzdq7v6TnL/ILVtGls/bajejVdTtVHWgiOwEfB/YLy2a/19fwJK2G3X0A+u47bbnGBgY\naHl3q2q12vEqr05XjdXI6/6inFer1czvz3j354bY2NjohKR7g6IRzYeSiFwG3KKqK/yW0jviHLU+\nparni8jpwExVXVp3n4bUyXwoGWW1lTYfSkZIYtUDEXkr8Cxwed2E0n+r6hfr4u4HXAm8CfdL9c3A\nPmkf/aL5CyiyD6VO7u0mIvuOuRKYj1uRMYwz5fkBcDVuI4ZHgeNVdaOPfzFwFN70WVP8J/l4LdeD\ndn0oWZ+nO8iqTyQinwOeB04DelV1i59AXaaqC0TkRn98u/e59AdV3S1FjpoPJSMkeY0L2h0b+3sL\n1SearBTZJ2UzbXuzZSR0HZgSSlASEXkF8L9UdQWAqm72s63H4uyn8f+Pi5F+FvT29iEi9Pb25a2K\nYRhGbqjqrcCGlEtpDdWxwFW+TRjCmTgcHFE9w8gEVX2fqu6uqtNUdU9VXaGqG1T1CFV9taoeWZtM\n8vFPVtVXqerrG00mGUaZEJFd/AoMRGR74AjgHtzuhsf7aIsYvVJvkT8+HvhJdtoaRrZ0w9h4MjDi\nk1ILuxqoiESZUAL2Ap4UkRUicoeIfE1EdsD5CBgGUNX1wK6R0gfSnFN2JG3UWa3AtVrYQuoUSlYR\ndQoty2iOPN55XvncbenmwCdFpCoi36gNMoA9gMcScdb5sFzIJi+ySCM+sd9VF9WLSUms/Isht5tl\nRuYvgEERqQK3Azep6g3AUuBUEXkAmMXItujLgV1E5EHgFB8vCp2+yxB5YToUR4ecmHRj48k+Dg1F\nzPmIohDLh9I2wEG47dF/JSIX4hqKptZhtbOjyfz588csU7vqqsu8xApuJXrtuJ5mrgNM88vN6q5W\nKpnZDsc4D2EbXqTny8NWWkSmAL8C1qrqMSLSB1wFzATuAD6oqptFZFvgcuANwJM4x6yPZqKkYWTH\nV4B/VlUVkX8BLgA+Sga7W8X69jkq1NqK5uMTRf7Y+0fSauf+vL/tMeQXxW9GeRnp8xRt6b9RPFT1\nblzfvz78EWBeSvgm4IQMVDOMItDR2BjC9IlqFG38GOq80+dLSJhQ3nves5ANG4ZHzTlk9Xxj5yvG\n13dgYIBqtbq1/IQmig8lEekBfq6qe/nzt+Iqzd7AfFUdFpFeYFBV96u7t20b0TQ/EqF9KKVdN5vW\nYpOFrbSIfBo3SbSTn1BaBVyjqleLyFeBqqpeKiKfAA5Q1ZNE5ETg3aq6MEWe+VAyghLZf8wc4Pqa\nD6VG10RkKW5nifP8ta0+NFLuK5S/APOhVH7K6k8vTx9KVq4mH2WrB+ZDyQhNHnWgk7Gxj1+oPtFk\npZX+VLKtzSJvus6Hkl+695iI7OuD3g78lpEdT2C0HXUE0lcTGUZoRGQ2cDRu54YabwO+64+TNtFJ\nW+lrcHXDMMrOqN2tfKeoxnuA3/jj64CFIrKtiLwSeBXwi8y0NAzDMAzDyJhijI2NrKj5Wu4Wf8ux\nfCgBfAq4wttSvx74Am7r3CNF5H6cs75z4yW/CecHMBSVMFIKaCdaRJ1Cy4rMhcBn8VPEIrIzsMFv\nnwuwlhE/MVt9yKjqS8BGEZmVrbqNyeOd55XP3ZZuLPzuVj8D9hWRR0VkMXC+iNzlv/+HAZ8GUNV7\ngO/gHLXeAJyU509u2eRFFmnEJ/a7mmz1otuIlX8x5HazzG6l03cZIi9Mh+LokCM5j42LOU4rok6N\nSE4UjUc8596VgLLCEcuHEqp6J25r6HqOiJWmYWSNiLwLGFbVqojMrwUz1ldMcm3iKBGJa4ZROlT1\nfSnBK8aJfw5wTjyNDMMwjKzxq7UvB3qBl4Cvq+pFIjITWAXMAYaAE/zuVojIRcAC4DmgX1Wreehu\nGFlgY+PyMzJRBOluQbuTKD6UOiGkD6VQPpLMh1K5iew75gvAB4DNwPbAK4AfAO8AelV1i4gcgvMT\nsyDpM0ZEpgJ/UNXdUuQqLGLatEEWLjycuXPnBndIbOeT+7zeIfHKlStL5zejSN9W86FUfsrmOwbM\nh5IRnlj1wJs69/of2F4O/Bpn5r8YeEpVzxeR04GZqrpURBYAJ6vqu0RkHvAlVT0kRa75UDKC0i1t\ngdE6E/WnGs01TBSv1byrbTSW3BCjyD6Uok0oNbvrVcp9JZtQ2g5nXme7oBSVrBoOETkM+MeEU+7v\nqeoq75T7TlW9REROAvb3TrkXAseZU24jCyJPrC4H/hq3Wu91PqyjX6WL1nmyCaXy0y2DCJtQMsYj\nwz7RD4CL/d9h9U6HReQSf7zKx78X75y4To5NKBlBybMtyGN8bExMcqf4kXZv7Bg/qwmlNIffRZ5Q\niulDaQnOT0aN84ALVPXVwEbgIxHT9lQykLWJVmwki2gnWkSdQsvKgaXAqSLyADALWO7DlwO7iMiD\nwCk+XmHI4513my+jkpfrRqwA3lkXthS42X/zfwKcAeB/ld5bVfcBPgZckqWiScyHUvOYDyVjPMyH\nUjlkZoUfJM8FbgN6apNEqroeqK3K3upT0rOOEX+TQSmC3x7ToTg65Eyu4+MijtOKoNNoU7YarY3x\ns6GStwKpRPGhlNj16l+BU33w24D3+uOVwFnApTHSN4w8UNVbgFv88SPAvJQ4m4ATMlbNMKKiqreK\nyJy64GNxDrnBffMHcZNMx+L8bOBNP6eLSE/9r9KGYRhG+fDmbtcAS1T1WbfCKD1qSliDuP3AOm67\n7TkGBgZadgFQrVY7NiHv1CS9Rl73F+W8Wq1mfn+9C4C8sPGxMVmJYvImIlfjKst04B9x9tM/V9V9\n/fXZwA0104i6e0tm8mZLwotOWc0czOTNCEnseuAnlK5PmLw9raqzEtefUtWdReR64BxV/ZkPvxk4\nTVXvqJNXqOXdZvJWfvJqC0RkCHgG2AK8qKoHj2cSWndvQUze3NJ/M+0vP5HNn7cB/gP4kap+yYdt\nNWWbwOTtPrxpXJ1MM3kzgpJjW5DL+NiYmGbNydLnGiY2jTOTtxZJ7nrFyK8PkjiuYbXCMAyj+2jh\nV2nDmBRswQ2oD1TVg31YqklocXFL/4uz7N8oKN8E7qlNJnmuwy0xwv+/NhH+IQC/eclGW6lqTFZs\nfDyZSZrGrfcTP3kwDRGht7cv85RjmLy9BThGRI5mZNerAWC6iExR1S3AbODxRgL6+/vp6+sDYMaM\nGS0tbR1tW1hJ/E+7TgvX047H3j+Rfu0s1W10nlwG2+lS3lNOOaVjfYryfEVZ2lpGKpVKoi5N3jS7\nMd0cGK6ZsvlfpZ/w4WuBv0zEa9gedNIWhP72OSo0+60fiU8U+eO3feHNFEJ+27OSX6C2QBj7A169\nSWiFgvnUa4VY37UYcrtZZkxE5C3A+4G7RWQNboR1Js5HzHdE5MPAo8DxAKp6g4gcLSIP4TZoWBxL\nt07fZYi8MB2Ko0NO5Do+rh9TZd2HijHeC/l8jkqDY8akMfZ67bw2uSR01qcbncZI2vX/k3FrP/xI\nah+rWq1uLT/BUdVof7jO0nX+eBVwoj/+KvDxBvdouwAK6v9QGEwJqz9u9nojWaPDJmJwcLDt54sl\nq4g6hZTl8yVqWQ/9VytX06cfqpVKJch7aIaQ+VfkNLsx3dj1AOgD7k6cnwec7o+XAuf646OBH/rj\nQ4DbGsiL+j56eub47zfa0zNnwvitfuvr247Q8kPd2yyxy20W9SKvtgB4GLerzy+Bj/qwDXVxnmpw\nb1vP2Vr/prV70oiVfzHkdrNM1fzqQbt/I2XvfF2y5DNtPXOn7zJEXpgOxdEh7zqQ9fg4SdHGaa32\nxWLpNHEbOG2rnu20pe3rk0y3+bmNZuRrwDIdxYdSjbpt1F/JyLaIa4APqOqLKfdouzrl70NpxIZy\nypQd2LLlefM3UADMh5JhRPebcSXuZ5idgWFgGfAD4GrcaqRHgeNVdaOPfzFwFP5Xaa3zn+TjtN0W\nNKkzye/5RGkVLX6oe7uJHP1m9KrqehHZFVgNfAq4VlN8jKXcq4sWLZrwV+mFC/vrzNFq/ZNBf364\nD6skjtOu18LmN7w+ODgYbaWanYc/r1+pt3LlylL1icyHkhGavMcFWY+Pi0ye/Zfe3r4G7War8wLh\nfSyP7y9pYh2b6XOGrANRJ5TaodwTSu1lqhGXyAPp2bgdq3qBl4Cvq+pF4zlcFZGLgAW4wXS/Onvq\nerk2oWQEJe8OVKvYhJJNKIWmCHVARJYBzwIfJcVRcUr8pupBuP6P9WkmO0WoB61gE0pGaMpWB8Am\nlLJIO+8JpeYnuIo3oVRv0z/JqBRO1mj7y2LIKqJOoWVFZDNwqqq+Fvi/gE+KyGto4HBVRBYAe6vq\nPsDHgEvyUTudPN55XvncbekaaVQmSRrxiV1uJ2u9EJEd/DbqiMiOwDuAuxntqHgRI46KS0ms/Ish\nt5tldiudvssQeWE6FEeHbqaY47RQcspdPtxkkjIyQZRGJRtlWmSSTygZRlxUdX1thZGqPgvci3Oq\ndyzO0Sr+/7H++FjciiZU9XacM76eTJU2DKOr6e3tQ0Ry2w2ky+gBbvVOim8DrlfV1TgfY0eKyP3A\nEcC5OepoGB0jIstFZFhE7kqEzRSR1SJyv4jcJCLTE9cuEpEHRaQqInPz0dowjG4g2e+ZOnXHHHdi\nm5xEMXlrxwwoca+ZvBlByWppq4j04aaO9wceU9WZiWtPqerOInI9cI6q/syH3wycVu9DxkzejNDk\n6D9mCHgGt3X6i6p6cOy2oEm9KJIJW5Ymb91qIldWM4e99jqQQw99CytWfHm8eJjJm9EMseqBiLwV\nZ855uaq+zoedh3M4f76InA7MVNWlfrX2yar6LhGZB3xJVQ9pINdM3oyg5NEWdDI29vd3lclbzfwr\nlC/i5tvI/EzeQuo4WUzeWjIDMoyy400argGW+JVKjWpyWuWdfC2EYYywBecr5kBVPdiHWVtgGE3y\n8MNn8cMf/jBvNQxjXFT1VmBDXbCt1jYMh42NW6Bm/jXap1BjyrzyuqZ7mYkyodSCGdBxMdIfoVIA\nWdNGFfCabWeIgm8+lIqBiGyDm0z6lqrW/GAM1zpH3uHqEz58LW7XqxqzgcfTJffzwgtDrFixgoGB\ngVHvo1KpRDmvhcWSn3Zen3ZW6Q8MDGSaXtbPOzAwwFlnncVZZ51Ff38/OSKMbWsybgsaUZkkacQn\nWb7KKL/c7J+3AhMSK/9iyO1mmTmwm6oOgxsbALv58D2AxxLx1vmwKHT6LkPkhelQHB3yoChj45Dv\nr1VZjce+nes04n9osOlJqKIwonszVCJq0j7bxE7AmwHNxfkO6Ek2LH4L3UnOJmqFZHh4ZPYxWXiS\n4UYp+SZwj6p+KRFWc7h6nv9/bSL8k8AqETkE2FirE2O5jO22O4zFixePMXmrbQkc+rzWOMSSb+fZ\nndeHrVy5kpxQ4CZntsClqvoNurItMIzJwLStv6SGMkUwupIWV2v3A+u47bbnGBgYYO7cuQ37LWnn\n1Wq1pfih70+S1/1FOa9Wq5nfX61W2bhxIwBDQ0PkTbeOjW3sO3mJ4kNpq3BnBlQBPq+q14rI06o6\nK3H9KVXdue6eSedDKc2Gslt9WORBTFtpEXkL8F+4XXtqrvnPBH4BfAe3GulR4HhV3ejvuRg4CngO\nWFzvP8nHMR9KRlBy9KHUm+gkrQY+BVwbsy1oUi+K5BPJfCjFp6w+lOB37LrrETzxxMPjxSMrH0rd\nWHa9r3+GAAAgAElEQVQmE5H7RHNwjudrPpTuxZk8D/vV2oOqup+IXOKPV/l49wGHpf3AZj6UjNDk\n2Ra0Mzb24aX3oZTW9xgdth1uIUaN5v32TdSvydeHknuuRj/CjOhWXh9K0VYojWcGlGhYnki7t7+/\nn76+PgBmzJjR0i8R6UvBKkAxro9dHjj6PO9fDibDeZa/RKjqT4GpDS4f0eCek+NpZBjFwps5oKp/\nFJEfAAeTQVswcVsBad/mssSfqO0LGb/mHBNGVqUU4Vs/0XnRfpU2jC5AGL36KMBqbcOYHHQyNoa4\nfaLQ57Nm9bJhg6vSPT1zuOqqy8Y8z+gxcYWkVY/7jFRGxX3PexayYcPwKHnN9qHqrzcer6cdN3O9\nUfz5uOcaZHj48JErTc9fNJve6PN6+QMDA1Sr1a3lJziqGuUP52zvi3Vh5wGn++PTgXNT7tN2ARTU\n/6EwmBJWf9zs9UayWpM/ODiYqms71GR1Sig5RZXl32+0sh7jr1Y+pk8/VCuVSpD30Awh86/IaXZj\nunnUA2AH4OX+eEfgp8A7YrcFzb4P911v7hvc6je7vu0ILT+Mbq3Eb/5dtUMW9aK8bcHvdNddX5n6\nTD09c3z+dN4/af2eaQpoT8+caPkXQ243y1SNVw+AK3E+ITfhVmYvBmYCNwP3Az8GZiTiXww8BNwJ\nHDSOXF/eztclSz7T1jM3epfJ+tPTM6fl+0PokNX9psMIebUF7Y6N/bWOn1s1u3FaWj+jcdjguG3O\nWJkjYWPbwMGtbVOyXsdpA1sNG6tX/XNNLGewKR0nInQdiLJCyZsBvR+4W0TW+Jd3Jq7SfEdEPow3\nA4qRfvlwPgnMH4FhGJOMHuD73n/SNsAVqrpaRH6FtQWG0TEjPinysN5wvyabLwwDQFXf1+BSYVdr\nj/bpsp35BzOiYWPjOKS3gen+i/OnqHp1TlQfSu3Qqo1ocim+o3ZvEX0opdmGjo5btPyYDJTXb4b5\nUDLCUbZ6YD6Umn/2IutWJMpWB2BiH0qt+16Y6Hp795S1THQjZasHoX0oTTxucMeqmmrua5SfstUB\nKJ8PpYn9JaWHjde+JNu7tLB0Ocmxd7w2sJ2w5p6hHD6UpoQSlDW1rQdHZibLUMlqM5ONdJ2Wup1i\n7VlHb7FoGIZhGIZhGEY9jbYob2XckIxbtq3IDWNyMDI2bo+kXyYjFqWdUEouU21MJWCKoWSNJ2dk\nwinZcNWedXh4/ajGcbQzsw40CiSnyLKM5sjjneeVz92WrpFGZZKkkQWVuNKtXpSY9B/DQhCjXHSz\nzG4i7GRQhU7Leaf5GaI8mA5GqPfXaMK2PSrjXEtbjDHeJNN4siYDlbwVSCXzCSUROUpE7hORB0Tk\n9LipVQsoqxM5oyecqtUwOoWSU2RZRSLbOtAaebzzvPK529ItGsWoB1nkxWTJ7+aeo91OZjfWi2LU\ngRBsAi4kxiqOGOWim2UWkWLWg2l1g9UqjX70bZZO8zNEeTAdikmWdSDU+3N1oJPvfrKOtarTeBY/\nZSkf7a68KubzZTqhJCJTcLs6vBP4K+C9IvKaZu794hcvYsqUqUyZMpXp03dtMsWNbWoaU1Y4nWrb\nIRdFTpFlFYVO6kAW5PHO88rnbku3SMSoB+1NZGSRF5Mlv5t7jnZXBXRbveikDiTLenGo5V/Y1Uox\nykU3yywa2fWJprZYZ+rNZOrzYqScT526Y1NlvtP8DFEeTIfikfW4IOz760RWso4VRacsmcgNTiOK\n+XxZr1A6GHhQVX+vqi8CVwHHNnPjQw89gur5qP6Zl17aPqqSxWCimctpnH322aMas2Sj1mwDZ2RO\n23XAMCYRweuB+booJ7XJkbPPPrvb2qq260CxfUd2torD6DrargfJidW0/u9oXiJsnRkp51u2PM9I\nmV8/Ro/a/7PPPtv65kYamYwL8m1r61f8GZONrCeU9gAeS5yv9WFNUgW+w+bNzzcZf6h50ZnJalbO\nRDOXm4BFJBuzZKOW1sA1+oAMDTWnUzMrAGqyQtjWjqdXWNvdTGmhDnybF198IgOVRmi2LIQg74Fk\nls9ahHQLRlP1oKenl9126+Gb31wZSY2hSHKzTiMLhqJIHZkcWdRtExAttAXXZaBOpwylhE1rONhv\n9ps/NDS0ta0INRiP8Q0ui8wC0mQ9+Dawhq9//Ztby0ByYjW9/xuSoSbjjZ1oGtFn0YSTT42Op07d\nceuPyHmW/RBlsgg6FIwOx8ajOe20ZVvLzyGHHL41PK2tTRtLpU3UNi5zQ/7/RCtTJ3KMPTTOtVYJ\nKauIDOWtQCqS5RaEIvJ/A+9Q1b/35x8A3qSqSxJxiviTm1FyirI9aDN1wIdbPTCCU6Z6YHXAiEGZ\n6oAPt3pgBKdM9cDqgBGDMtUBH271wAhKyDqwTShBTbIW2DNxPht4PBmhKBXcMCIxYR0AqwfGpMfa\nAqPbsbbAMKwtMAxrC4zSk7XJ2y+BV4nIHBHZFlhIOdZyG0YorA4YhtUDw7A6YBhWDwzD6oBRejJd\noaSqL4nIycBq3GTWclW9N0sdDCNPrA4YhtUDw7A6YBhWDwzD6oAxGcjUh5JhGIZhGIZhGIZhGIYx\nCVDVwvwBRwH3Ac8A/w3clbg2Ezd7ez9wEzA9ce0i4EHcNnBzE+GLgIeB54B1wN3Ap4CDgN/68Kdr\n8hJpbPDX7qrJA6YBvwNewLmr/54P7/PxXgD+BHzJh28LfNfL+R/glprOwBle33v9/+sS+v4P8Gf/\nLNv48H2AJ334k8ArE8+4wevzAnBf4l392oc/ByxLxF/h03gB+FEijUXAQ/69P+7fzzzgMB/2Z5xr\n+emJNH7vw/8EvDWRxmle/gv+nmf8e29H1pWJ5/uZf6+dvvN3pJS5B4DTE+F9wG248vbt2nvKsA6M\n0ieQ7OXAMB3WqzbSnQ38BLgHXwezSBtXZ28H1vh0l42Xt778XOXT/TmwZwfPPAW4g5G6nUWaQ8Cd\n/nl/kVX+RqgDqeUlQjqj8iiC/OnA1f6b81tgXoQ0Pg38Bvc9vALYNoDMlr4TAdM437+rKu47vlPo\nNBLXPgNsAWbFyPtAedtSW9BqvjWq/7i+wAO4/s499fWwQ5n3Ax8m0HeZuna9vk4HkLmeAN/Uuuf/\nECnfhg7lPoz7/t/hda31uTrWtQz1gABln877KW8iQLmmwzJMgH4AnZXPY3zaHZVFUtq2Vt4FsMTn\nQ2Z9zjbKdlq5fb1/hjXAL4A3Jq7N9+G/AQbr6shGYDPwh4lkATvhTOqq/v30J+65xct5AV//gdfh\nxl93AtcCL2/0DW5Cp1RZwBHAr3z4L4HDE/cchBurbwb+OJGsxPU9cWPOUxNhN3o5m/Dfkwmer3bt\nN/76tu3ohLMIuwxXnn8LLE3c8wHcuHUT8Ac6a2tPAZ73sh6bSBbwPq9rFbgVeF0r395R7zuLStNk\nxZqCm9CYg5t4uB+4P3H9POA0f3w6cK4/XgD80B/PA25LvLzf4SZj/pc/3t3LvRO4HDfxcQPwDeBc\nn8Zy4Ic+jZV18h7GfWhn4Srb24BVPlMPBr6Kq5zvBD6B+6CeBpzoM+tc4LW4yr0N8M+4wn6df/7/\n9ve9DDdx9Dmf9q+Am/zxauCX/vi1vtDsgvvQPgSIf44n/bs8A/fBeo1/V48Dx/t3NQx8LPGurgBO\n8sez/LM+DnzZp3cfsMoffwe41x9fDKyre+/TgRn++A/AX7Yhaz/gRf98M4BngY93+M6T7ylZ5l7m\n47/Gp70KON4ffxX4WMZ1YJQ+geS/FZjL6MarpXrVZrq9jHQSXo6rg6/JKO0d/P+puI7IvEZ568vP\nV/zxicBVHaT7aeD/MNIpzCLNh4GZdWHR33Hov0blJUI6o/IogvzLgMX+eBs6nCBJkb+7z/NaB2cV\nAQaArXwnAqdxBDDFH58LnBM6DR8+G9epfISCTijRRlvQSr41qv+Mbr/3xXVIp9PBd5v0PkGvv9b2\nd5n0dr2j726KzBfp8Jva4PmvYPS3YXogudNxZedxXJ8riMyi1wPClP2O+ykE6G/QeRnuuB/A2Lar\n5fKZyL+WyyLpbduiFt7FDbiB+zSfF6uBV7XzDJHLd1q5vQk/MeP1GvTH03ETEXv4813q6sjfAm/E\n/Zj+mglknYFvX3Hjq6d8Ps/ELb54K24CpfYt+AX+h36gH/hnfzzR2CpNp0ayXs9Iu/BXwNrEO7kd\n+Dv/rv4EvHM8WYn7rvFl5tTEu1rr38Vd+O/JODpNxc0X7O/PZzJi2dWSTsB7gSv98fa4/seeXqdH\nvE4v83o9Qvtt7ZDPvxm4OvTgBLIOYWRy6aiErNb7IFlUmiYr1iHAjxLn5zJ6VvM+oMcf9zIyAXEJ\ncGIi3r1AD86p2VcT4V/FfWh+hFsNc18i3mX+vvtwk0gn+jTuS5MH7AA8AZyJm7i5J/EMVZ/WjT5j\ne3yhfNLLW+ozczbwY18o/8vf+2dGOtT/m5EVR38GDvHHbwY2+eOluBnSnf35j3zhGgL+M/GunvBp\nXoIr+LU0HsH9IrMQN6n2u7p31YubsKq9948BG/zxBuDvE2lsavDer/fvsB1Zn8BNss3EfbCGgH9p\n950ndKq9p/oytzUe8MfEezoEuDGHOjBK70BpzGF049VSvQqkww9wg8fM0sbV2V/hJiGfqMvbH/nj\nG/GrSHz5+WObadXq9nxGOoX15Slomv7+R/DfgjzzN/SfLy9vDyxzTB4Flv8K/Pc04nvZHdeW1b6P\n1wNHBJI90XfivtBp1F07DvhWjDRwv7wfQLEnlNpqCzr9vtOg3+SP2/puTyCzne/yE2nvBNeXuZ32\nvruNZD4PHFn3jjt9/m8A61PyLlQf9x3A/xc6/4teDwjct6GDfgpt9jcI0Heg837AXqS0XW2+h3bL\n4usY3bZdBxzZwrt8BvhaQub/A3y2TrdC9IcYW25/xMik2XuB/+OPP0HdhEnKe5iD+wH/9AlkLQUu\n9sevBB7wxwtxdX4ObmKj9k3ZmEhvNvDbtPpIytgqRadUWSnP9UfcREYvI+O9Ob5cfHUiWcCxuEmU\nzzEyoXSI17H2fLXxeKPnWwBcnqJbyzr5d3utL5874+rDDNK/cb8lXFv7ywayxvThvD6P1ZertLxO\n+8t6l7fx2AP3a1iNP+AKU43dVHUYQFXXA7s1uG+tD6sPXwfsj5sFfQj3Yod9/FleXo8/fsynsWud\nvLUisga3DPpe3Azecz5OLe2XJ+LPUNVhVX0JN2myW0KvC3EfuD8C2wGvBp5X1S1e1n3ALiKyM6DA\noz78UQARmeVlvQjcJCK/TKS9C25mufautvfhfbjCXkvjMVyB3wPXcXpSRFbgKuIpwN64j/ewj/9b\nYEd/vCNuBruWhjR473/h79ujDVk7ABX/zOtwyydf6OCd11jXQNe1wB7+nW9IvKe1uMFbbBqV5Zg0\nW69q76wjRKQPN6N/GyN1MFraIjIlUWd/jKsXG+vytiZ7a7q+/Gz09axVanVbvQ5p5Sl0mvj0bhKR\nX4rIR31Y9Hcck0R5uT2w6FF5FIG98N9TEblDRL4mItuHTEBVHwcuIPF9VNWbQ6aRoP47sWukdGp8\nGNfxC4qI/A2ufb87tOzAhGoLQvSb9mjzuz2ezNkdfJefSfR/knL7cL9Gt/PdbSRzM/DVNr+pjZ7/\nBWBT3bdhhwBya9/wE3GuAkLomne70Ek9aLtv00E/pZNyvRG3Qr/TvkOn/YA3MbbtaqV8Jt9nO2Vx\nHW4SKdm2PYOzPmj2XW4A5ovITK/70f9/e3ceJ1dZ53v884WwSSQEkbQSSFQWwREDamBEJQgI6FUc\nryDgNcTl6qjcURlnAHVu0Jkr4kuc6AjXDZ3AiIg4EVAERIh3VDaVZl+C0kDENEoSVm2W/O4fz1Pp\nk0pV51TVqe6q9Pf9evUrVeec+p3f2Wp58jy/Q+ol1Q/fhz4KfF7SfaRh4Cfn6bsB20m6Kh/bd+bp\n9bk/xWjuzWJ9GdhT0gOkHjgfbhKrth9uyZ+dAEeRfjeOtfxYOTWLtZaktwE3RETtdcsLszcYS9LW\npJEqnyL9nqxp9n7SLKfdcrxLJf1K0j8U4rSUE6m31BOkto0h4PMRsbpBTn8hnatVfNY+Tvod3yhW\no+9w72X0e1fL77291KCkDS9S6nUivaHWT9+c1GXy88AzrPtDovh4rHgREXuTTpCZjB7ceo3WX4w3\nBxiOiMHCcps0eM1YcWrzTomIV5DeMPcgdW1r9COptnwxXnHbNiGNCT0DOJPUS2hBk3U3s06+kjbL\nORW3s5VYW+XXzyI16GxG2r4NrrtOo+nNlm+0n2rTu61ZPhOh8lwkTSW9qX44Ih4bI15l646INYVr\ndi7pfGoWu9m1X5qkN7L+tT3W+dTxOgteVXgv+JCk14wRq5fOtYYanC9Vxa0/Ru1+9oxlCvn9NCL2\nIX2ROKnKFUjaltT4X3t/nCrp2CrXMREkfQJ4KiLO3eDCrcXdCvgEsLA4ucp1VKjb12fZ702QPnfb\ned8eK2Yn78u1ecXvGm8kDau4h/bed9eLmV1M+oHfzntqs+3fhLTdtfeGx0nvDVXsV5Fq2HwvP68i\n5kR+LnQjnzFjdvg9pZPzemtSL6NOvzt0+j1gU9b97Gr1/ASI/P2/nXMR0r4ofrZtTeotst56msR4\nGvgicAVp+NtgntZML533HyCdezuTGoS+mafXvlMcThqa9E+SdmHs3JvFOozUYPN8YG/gjHzeN4v1\nbuD43HFha9KoGcZYfqycmsVKAaWXAKcC79vAOsaKdQrwrxHxRN3rWt2+KcD+pN5drwH+RtKBbea0\nL+kcHCD9h+PHcsN18XNsKqne2M86/azNsY4BlmwgVm35A4F3kXpsNVpHcRsb6qUGpeWk8YQ1zyO1\n+tUMS5oBIKk2jKv2up0Ky80kjdldG0/SFFLjyJWk1vKdCvFmklqzHyT9r8JDwE6FdawXLyIeIQ01\nm046YWrrn0mq81NbfpWkGZI2zcvWekS9AnizpN8BB5F6Tr0d2FJS7Zi8GHgoIv5EOrC1fVPLYVWO\ntU1+/se8HTNIQ712KeyrP+ec7gGmFdaxU46xnDRE4/6I+BWjxQlnA2tq+500rvXx/PjxnHdtHVG/\nn0hvfA+RxnAubyPWc4AnI2Jl/l+HWgttO/t8zHOkOD3v820L+6m2fLc1zKfL62z1umpLvgYvIA1j\nuXA81w1rr9mfkbpxNju2a9ebz59t8nXWiv0Zvba/Q6qztoh1r7uq1wms/V+H2nvBD0hfaMdtH1ep\nyflSlfpjdKCksytex3JG308hbcs+Fa/jYOB3hffH/yQNie6GZudRpSQdR/oh1I2GsReRPtNulHQP\n6Zz/taRm/zE0kar6LGj7e1O2E+lLaSfv2023pc335WmF7z+19e1P+pL+Zdp7320UE9J3kAc6fE+t\n3/6tgT8V3hu+T3pvqGK/zgB+nb/DUFHMifxc6CSflj/7qvqe0u55DRza6XeHCr4H3Mi6n13tnp+H\n0/65uBvrfrYtIX22tfLd7YyIeHlEzCP9NrqrjW2YCMdFxA8AIuICUo8xSDleGhF/iYiHSKVSXsb6\n18hmjObeLNYC0vcFIuK3jNbsafab6K6IODQiXkkqfv7bQk5l3kfW5jRGLCTNzHm9MyKGmqyjTKx9\ngc/la+kjwMclfbDN7ftZvq7+TGqc3KfNnI4hHb81+dr8BaktYDmwc+G95xZScWxo8/27EGuIVD9s\nrFhI2gv4GvDmwu+Plt97e6lB6XpgF0mzJG1Oatl+tDD/IkZ7zCwgjUWsTZ8PIGk/UpfIYVIxskMk\nTSMVuNsG+Eh+s30kr29Bfu2aHO8iUu+l+aTeTNcX4l1PerOfJul5pAaQi4CfAlMkzc2vmVKItSqv\n40jSwalNn05q8DmI1PhzBfBGUkvmB/L2v530oQKp6PSn8+NPkcZ+QjpRjpW0uaQ9SQf8R6T/EdhL\n0izgPaQGmtq6HwOOzPtqq7zsZaQiXg9IegVprPJWpC6mDwGflCRSC3ft5LwiP4c0PvlPDfb7fFJR\nvMvyfm811g+BF0naQdJ00pvh5W3u86PzfnpB3vfXsf45VxvjCqlB7cj8+LjC9G5qlM9FFa+j/n+8\nWr2u2vVN0pjjL47XuiVtn8/DWu+Eg0l3cLmKxsf2ovycPP/KVtcZER+PiJ0j4oWk43dlRPyPbq4T\nQNKz8v9I1Lr7vp70vjFex7dqjc6XSjQ5RvMrXscwcL+k3fKkg0jnXpXuA/aTtGV+Tz2INBS7CmO9\nT1T1frjOOiQdRuqm/uaIGKkg/jrriIhbImIgIl4YES8gfT7sHRFdaRzrULufBZ2+v6/9/M6fuccC\nv+jwfbs+5qGkOw91+r689nMd+Dp5yBGdve8WvyvsQbqpy3UdvqfWb/+rgWV17w23VhD3EFKjWu17\nIxXFvIyJ08p1UMV3m06+pzxGGq7S7nl9caffHSr6HnAr6392tXN+HkOb52LOuf6z7dYW98Vzc8yd\ngb/JufTi96H68/b3kg7IuRxE+g95cq6vkbSp0jC+fUmf92uvEdJInG0ZvUaaxbqPdH6SGxl2IxVw\nvox0zW9D6ql2CGn4ZG1fbkL6jfaVHGeDv63qc2oWS6nH9Q9Jdz+7prYzar/Z8+89kX4/XzhWrIh4\nbf6cfyGpUfYzEXFmLS/S58Qm5PeTMbbvMtJv6S1zI80BpJpIreT0fwv7/HV53takxua1x480XPsO\nUiNO7fi19f4NnEO++QWj798Nv8Pl6+P7pEa8tY17tPMdJMah6FjZP1I3vDtJDT6PkIZd3UfqhjWd\n1PBwJ2ls8raF132ZVBfpRmCfwvQFpDGAQSqaVbuV5fGkN/onSA0QPyGd8NvldazK826uxSMV8RzK\nOY0A34vRgmY352mPMnoXsy1I/zvwBKmH0H/VciaNY72bdDL9PaPF947Lyz6Zt2WzPH13UmPMk+Te\nR4V1P5DX/RfgrDx9u7ytT+b1n1LYJ4vzsiOkE22zwr66N8+7l9RKPA04kPRB+WQ+FtsW1nF/nv4o\n8Nq6/X43qXvf+wrT24m1JE8fyftwswr2ef2tLe8kvdEWb+P4AlLdlrtIF/pm43wNrJNPRbHPLZwv\nbV9Xbax3f1JD7SCj1+BhjF5vXVk36Zr9TV7vTcAnxjq2+fw5P+/7a4DZHe7vAxi9tru6zhy/tn9v\nrp073d7HXboGGp4vXVrX2mPUhdgvI30oD5LfT7uwjoX5Pe0m0nt7x+9Trb5PVLiOZaTPnt/kvzOr\nXkfd/N/Ro0W5c34tfRa0etyaXf+kz+9lOcaa+uuwnfeUQsy7SDczqeR9mQaf63T4vluIeTfpS3nH\n76l12z+fBu8NFcR9D6km57ML8zvOtR+uAyo49+n8e8pRVHdet3UOU9H3gE7PT9J/SHd0LtLgs63F\nffH/SL09bgDmtXs9dPncbnTevopU0P0GUsP73oXlP0ZqWLsJ+F9118gjpN9cT28oFmkE0GU5zk3A\nMYVYV+cYa0i/O99FGoZ1J6nB4zN12zDWb6tGOTWMRRqO/ijpGqpdf7U72b2c1NBYKlZdfgvJRbnz\n86sK27e6xPYdm8+jmyjcebbVnEg9U8/PsW6py+kEUjvFCOk/Rjr5rP2XHOsvpDaLMWOR/jPmocJ+\nv66V997iX+32d2ZmZmZmZmZmZqX00pA3m0CS/ktS28M+JN0v6bVN5h2kVLPCbFwp3RHj3U3mzZK0\nRqNj8s3MzMzMzKykSf9DStJ/SDqrbtoBkv6k0QLSVa3rHEkjkh7J8S+VtGuV66iSpIPzD+6PVBDO\nXeEMaP2ay/UczpL0B0kPS7pDo7fv7JTPSzMzMzMzszZM+gYl0njHw3PBMiRtQap2/tGosChboRfE\n/4mIbYAdSWOMv1bVOrpgPmls5XEbWtCsBaWvOaU7dvwrafzx7hExjVSw/7eYmZmZmZnZhJn0DUoR\nsZL0A/druXL+KcDdEXGOko9LulvSg5LO1ehdoyTpe7nXxEpJV0p6cS1u7o30ZUk/lvQo6c4exfWO\nkAp0zSlOl/ReSbdLekjSj5Ruo0iu7L9G0t/mfB6W9L8l7SLpakmrJX07/wCvxfpbScsk/VHSfyrd\nKrA277Dc02OVpEWse5eBWhX6twIfAPZUuq1gcf4CSUN5v5xYN2+rvP0rJd1MKl5mBjS95pbla25h\nvq7OkbSa1Jj5SuDcSLfiJdJtOf+zFk/SqyRdl8/layX9daP1StpE0ufz9XA36c6KZmZmZmZm1oZJ\n36AEEBEXAL8m3VbyvcD78qy/Bw4nNQbNBB4H/q3w0ouBF5FuzXcL6VZ9RccACyPi2aQ7D6yldGvP\nYxi9jSOS3pbX+SbguaS7GZxbF/NgYC/SHSk+AZxBurvELNLdFY7KsV5P+qH+VlJvqD8A387zdgC+\nR7pF8/ak2yfvW7eeo4CVed/8lHyLwvz6l+b9cHSO/XygOFTpn/P02cAbcA8nq9Pgmnt/YfabgfMj\nYlvS+X8N8JnciLlLMY7SrY1/SLo16HNIvZl+lKfXex/pfHwZ8ArgbZVulJmZmZmZ2STiBqVRxwOv\nAz4VEb/P094HfDwiVkTEk8CnyQ02kZwdEU8U5r1c0laFmEsi4rq8/JN52smSVpJupziXdIvWmveR\nbjN4d0SsAT4DzJX0vMIyn83rvIV0m8ZLI+L+iHiYdBvIvfNyxwLfiIib87pPAl4r6fmknhk3RMRF\nEfEMcDpp+F3RfNKPfUg/6t9RGLb3trxt10TEU6TbABfPpSOBf46IRyLiftLtDc3qNbrmAK6OiIsB\nIuIvebn/AD4E3Jp73R2Wl30jcFdEnBsRayLiPNLtOt/UYH1HAosi4oGIWA2c2p3NMjMzMzMz2/i5\nQSmLiAeBPwG3FSbvDFych26tBG4CnpG0Qx4+8zlJv81Dc5aRCvxuX3j9/Q1WdWpEbEfqvfMkUCzK\nPQs4o7C+PwJPk3pH1TxYePxnYLju+dT8+PnAvYXtexRYzWiPovsL84LUSwkASbOB1zLaO+oHwN6a\nKQcAACAASURBVLOB2o/4+tc/Dqws5PG8YrxiHmY1Ta45qLtuImIkIj4bEa8k9UI6Hzhf0rbUnefZ\nvaTzvN46522D15mZmZmZmVlJblAa2/3AIRGxXf6bHhFb5x/C80kNLPPy0JxdSHWIirWImt5BKiLu\nA04Avixpszz5PuA9deubGhHXt5H7A6QGKgAkPRvYFvg9afjbzoV5Yt1Gq9rwth9L+gOpsWyzwvQ/\nADsVXj8V2K7w+hXF+cU8zEoY67p5jNRzbyrwAtJ5PrtusZ1J53m9dc5bfF6amZmZmZm1zQ1KY/sq\ncKqknSDVHpJUG0rzbGAEWJULWH+GFm9BHhGXknoc/c/C+j5ZK+4taVtJ/73N3L8DvEfSX+W7aJ0K\n/FdEPECqOfMySW/KRbxPINVsqnkn8E+kguEvy39HA2/ORcm/BxwhaV9JmwP/AqwpvP584ONKt3vf\nmTRUyawtkj4p6RWSNsvn8keAVcCdwCXArpKOzoXr3w7sQapvVu984O8k7ZhrLJ3YYBkzMzMzMzMr\nwQ1K66pvEDod+DHwU0kPAz8nFfMF+Bapx8MDwM153lixmk07HfhHSVNyoeLTge/lYXSDwOvHeP1Y\nPTkuI9V1+gGpt8ZM4B153oPA24HPk4YczSQXDZe0P2nI2pkR8WDhbwkwBLw9Im4GPkxqWFqe98GK\nwuoX5udDwI+Axc3ytEmvTCNskK63P5LO5YOAN+RaYiuB/wZ8jHQufwx4Y0SsahD/66Q6YzcCvwK+\nX8kWmJmZmZmZTUJK5XPaeGG6nf3ZpDucPQN8PSK+lP/n/7uk4SRDwFG5YDSSvkS6a9rjwIKIGOx4\nC8wmUO4x8/+AzYEpwAUR8SlJ3wIOAB4mNWosiIib8mt8HZiZmZmZmVlf66SH0tPACRGxJ/DXwIfy\nUK2TgCsiYnfgSuBkAEmHAy+KiF1Jtwj/SkeZm/WAiBgBDoyIvUlDBA+XtG+e/bGI2Dsi9ik0Jvk6\nMDMzMzMzs77XdoNSRKyo9azIhXJvJw2dOoLRIU6L83Pyv2fn5a8Fpkma0e76zXpFRDyRH25B6qVU\nqyelBov7OjAzMzMzM7O+V0kNpXyb+TmkOjwzImIYUqMTsENebEfWvWX372l8a2+zviJpE0k3kOpG\n/aRwV75/kTQo6fTCnfx8HZiZmZmZmVnf67hBKd8y/gLgw7mnUrOiTI16a7RXwMmsh0TEmjzkbSYw\nV9KewEkRsQfwSuA5jN5RzNeBmZmZmZmZ9b0pnbxY0hRSY9I5EXFhnjwsaUZEDEsaAB7M05cDOxVe\nPpN0d7D6mP5xbZWLiEYNOVWv4xFJPwMOi4gv5GlP5QLdf58X83VgE2Y8rgMzMzMzM5scOu2h9E3g\ntoj4YmHaRcCC/HgBcGFh+nwASfsBq2tD4+pFROV/CxcudMw+iNuNmN0kaXtJ0/LjrYCDgTtyYyqS\nBLwFuGUiroMq92cvxnJO5f/MzMzMzMyq1HYPJUn7A+8Abs71YwL4OHAacL6kdwP3AUcCRMQlkt4g\n6W7S7dLf1WnyrRgaGnLMPojbrVy76HnAYkmbkBpov5vP9Z9K2p40xG0Q+FsY/+ugyv3Zi7Gck5mZ\nmZmZ2cRou0EpIn4BbNpk9sFNXnN8u+sz60URcTOwT4PpB43xGl8HG6mBgdkMD9/L4sWLmTFjFitW\nDE10SmZmZmZmZl1RyV3e+sGCBQscsw/idivXyarK/dmLsXotp+Hhe4GrgMiPO+PrwczMzMzMepV6\nrbaGpOi1nKy/SSL6rBhxr10HtZ43gHvejCGVzKodN/VU7aJ+vA7MzMzMzKx3TZoeSkuXLnXMPojb\nrVwnq6r2Z9U9b6rKq8rzpbpYVcXx9WBmZmZmZr2r7RpK3XTVVVcBsN9++7HVVltNcDZmZmZmZmZm\nZlbUk0Pepk2bx1/+cg8LF76fk08+eaJTsj7Xj0N9JMWf//xnALbccssJzqa3h3L1kl7eT/14HZiZ\nmZmZWe/qySFvDz98FSMjCxgZGZnoVMzGJGkLSddKukHSzZIW5umzJV0j6U5J35E0JU/fXNJ5kpZJ\nulrSzs1iT526LVtvPZUrrrhivDbHzMzMzMzMrJSebFDqhn6p99MvMbsVt99qxkTECHBgROwNzAEO\nl7QvcBpwekTsDqwG3pNf8h5gZUTsCiwCPtcs9jPP/IVnPetYHnjggbbzq3Z/VhfLNZRKRuqz68HM\nzMzMzCaPSdOgZNYtEfFEfrgFqS5ZAAcC38/TFwNvyY+PyM8BLgAOGqc0zczMzMzMzCrTkzWU0u/x\nU1i4EE455ZSJTsn6XLdrx0jaBPg18CLgDODzwNURsVuePxO4JCL2knQzcGhEPJDnLQP2jYiVdTED\ngqlT53PGGQczf/78bqVfSq/WBhoYmL32rnMzZsxixYqhCc2nV/cTuIaSmZmZmZlVqyfv8mbWTyJi\nDbC3pG2AJcAejRbL/9b/oC+2QNRZwMjIjSxZ8igrV65kzpw5zJs3DxgdCjVez5OlwMSsv9nz1JgU\nwFKGhw8czXSC8hm17vOJyGdwcJDVq1cDMDQ0hJmZmZmZWZUmTQ+lpUuX1v04dsxejNuNmOPZM0PS\n/waeAP4RGIiINZL2AxZGxOGSLs2Pr5W0KfCHiNihQZxKeihVtT9Tz5urSA1Knfe8qTavanoEVZFT\nr+4ncA8lMzMzMzOrlmsomXVA0vaSpuXHWwEHA7eRWhWOzIsdB1yYH1+Un5PnXzl+2ZqZmZmZmZlV\nY9L0ULLJq5s9MyS9lFRke5P8992I+D+SXgCcB0wHbgD+R0Q8JWkL4Bxgb+Ah4OiIGGoQ1zWUSui1\nvHotnyL3UDIzMzMzsyq5hpJZByLiZmCfBtPvAfZtMH0EOGocUjMzMzMzMzPrmkkz5G39ormO2Ytx\nu5XrZFXt/qwuVi8e5+pyqipOb+4nMzMzMzMz6LBBSdJZkoYl3VSYtlDSckm/yX+HFeadLGmZpNsl\nvb6TdZuZmZmZmZmZ2cToqIaSpFcDjwFnR8ReedpC4NGI+ELdsnsA5wKvBGYCVwC7Rl0CrqFkVevH\n2jGuoVROr+XVa/kU9eN1YGZmZmZmvaujHkoR8XNgVYNZjX60HAGcFxFP5yLEy4C5nazfzMzMzMzM\nzMzGX7dqKH1I0qCkb9RuqQ7sCNxfWOb3edq46Jd6P/0Ss1tx+61mjKSZkq6UdJukmyX9rzy9J4Z+\nuoZSea6hZGZmZmZmVl437vJ2JvDpiAhJ/wKcDryXxr2WmowHWQAMsXQpLFq0iDlz5jBv3jxg9AdW\nq89r2n39eD0fHBysPP7g4GDPbN94bP/g4CCrV68GYGhoiC57GjghIgYlTQV+Lekned4Xmgz9PArY\ngzz0U9J6Qz/NzMzMzMzMellHNZQAJM0CLq7VUGo2T9JJQETEaXnepcDCiLi27jWuoWSVGs/aMZJ+\nAPwb8GrgsYg4vW5+/XXwY+CUZteBayiNrdfy6rV8ilxDyczMzMzMqlTFkDdR6H0kaaAw763ALfnx\nRcDRkjaX9AJgF+C6CtZv1hMkzQbmALXGoZ4b+mlmZmZmZmZWhY4alCSdC/wS2E3SfZLeBXxO0k2S\nBoEDgI8CRMRtwPnAbcAlwAfHc5hPv9T76ZeY3YrbrzVj8nC3C4APR8RjpKGfL4qIOcAK0tBPaGno\nZ+dcQ6k811AyMzMzMzMrr6MaShFxbIPJ3xpj+VOBUztZp1mvkTSF1Jh0TkRcCBARfyws8nXg4vx4\nObBTYd5M4IHGkRcwMnIjS5Y8ysqVK9uqJVbTaW2rZBBo7/XdqhVW2MJ1n01QrbEq86lie8axlpiZ\nmZmZmU0yHddQqpprKFnVul07RtLZwJ8i4oTCtIGIWJEffxR4ZUQcK2lP4NvAvqShbj8B1ivK7RpK\n5fRaXr2WT5FrKJmZmZmZWZW6cZc3s0lD0v7AO4CbJd1Aak34OHCspDnAGmAIeD+koZ+SakM/n2Kc\nh36amZmZmZmZVaGKotx9oV/q/fRLzG7F7beaMRHxi4jYNCLmRMTeEbFPRFwaEfMjYq88/S0RMVx4\nzakRsUtE7BERl3czP9dQKs81lMzMzMzMzMqbNA1KNv4GBmYjCUkMDMye6HTMzMzMzMzMrCKuoWRd\n0yv1ZPqxdoxrKJXTa3n1Wj5F/XgdmJmZmZlZ73IPJTMzMzMzMzMza8mkaVDql3o//RKzW3FdM6Za\nrqFUnmsomZmZmZmZlTdpGpTMzMzMzMzMzKwarqFkXdMr9WS6WTtG0kzgbGAAeAb4ekR8SdJ04LvA\nLGAIOCoiHs6v+RJwOPA4sCAiBhvEdQ2lEnotr17Lp8g1lMzMzMzMrEruoWTWmaeBEyJiT+CvgQ9J\nejFwEnBFROwOXAmcDCDpcOBFEbEr8H7gKxOTtpmZmZmZmVn7Jk2DUr/U++mXmN2K2281YyJiRa2H\nUUQ8BtwOzASOABbnxRbn5+R/z87LXwtMkzSjW/m5hlJ5rqFkZmZmZmZW3qRpUDLrNkmzgTnANcCM\niBiG1OgE7JAX2xG4v/Cy3+dpZmZmZmZmZn1jykQnMF7mzZvnmH0Qt1u5dpukqcAFwIcj4rFUA6nx\nog2mNVl2ASMjN7JkyaOsXLmSOXPmrN0/tZ4r4/W8XhXxli5d2nF+hYwqya+a18+rLJ9Ong8ODrJ6\n9WoAhoaGMDMzMzMzq5KLclvX9EqB4m4XI5Y0Bfgh8OOI+GKedjswLyKGJQ0AV0XEHpK+kh9/Ny93\nB3BArTdTIaaLcpfQa3n1Wj5FLsptZmZmZmZVmjRD3vql3k+/xOxW3D6tGfNN4LZaY1J2EbAgP14A\nXFiYPh9A0n7A6vrGpCq5hlJ5rqFkZmZmZmZWXkcNSpLOkjQs6abCtOmSLpd0p6TLJE0rzPuSpGWS\nBiXN6WTdZr1A0v7AO4DXSbpB0m8kHQacBhwi6U7gIOCzABFxCXCPpLuBrwIfnKDUzczMzMzMzNrW\n0ZA3Sa8GHgPOjoi98rTTgIci4nOSTgSmR8RJ+Xbpx0fEGyXtC3wxIvZrENND3jYSvTL8px+H+njI\nWzm9llev5VPUj9eBmZmZmZn1ro56KEXEz4FVdZN74nbpZmZmZmZmZmbWHd2oobRDL94uvV/q/fRL\nzG7Fdc2YarmGUnmuoWRmZmZmZlbelHFcV0u3S4chli6FRYsWVXK79JqJuH13K88HBwcrjz84ODiB\nt5tfStF4bL9vl26WDAzMZnj43olOw8zMzMzMNkId1VACkDQLuLhQQ6mS26W7hlL/65V6Mv1YO8Y1\nlMrptbz6IJ++ug7MzMzMzKx3VTHkTazb+6gnbpduvWYLJDEwMHuiE6lUkzsdLpS0PN/xrXbXt9q8\nk/OdDm+X9PqJydrMzMzMzMysMx01KEk6F/glsJuk+yS9i3R79J67XXq/1Pvpl5itxx0BYoPDb/qw\nZsy3gEMbTP9CROyT/y4FkLQHcBSwB3A4cKZSF5KucQ2l8lxDyczMzMzMrLyOaihFxLFNZh3cZPnj\nO1mfWa+JiJ/nYZ/1GjUUHQGcFxFPA0OSlgFzgWu7maOZmZmZmZlZ1bpxl7eeNFok2jF7OW63cp0A\nH5I0KOkbkqblaeN+p8Nq92d1sXrxOFeXU1VxenM/mZmZmZmZwSRqUDIbR2cCL4qIOcAK4PQ8vYU7\nHZqZmZmZmZn1rknToNQvtYn6JWa34m4MNWMi4o8xenuvr5OGtQEsB3YqLDoTeKB5pAWMjNzIkiVL\nWLRo0Tr7ZunSpaWe16aVXb7Z82RR26+vf97u9jTPb91c24m3aFFV27e0knw6PX6j23MKo/dJMDMz\nMzMzq4Ym+rbW9Wq3S4dTWLgQTjnllEriLl26tPLhI5M5Zpm49bcsT4/HvpV6N3KVunu7dEmzgYsj\n4qX5+UBErMiPPwq8MiKOlbQn8G1gX9JQt58Au0aDHVK7DqZOnc8ZZxzM/Pnz28qtqv2ZjuVVpOFc\nYx/D8c9r9BzrJK8qcuq1/dRg/3S1CLyZmZmZmU0ek6ZBycZfOw1K3cqjWz+k850O5wHPAYaBhcCB\nwBxgDTAEvD8ihvPyJwPvAZ4CPhwRlzeJW0mDUlWqbLipUq/l1Qf5uEHJzMzMzMwq0dFd3swmuyZ3\nOvzWGMufCpzavYzMzMzMzMzMus81lByzp+J2K9fJqtr9WV2sXjzO1eVUVZze3E9mZmZmZmYwiRqU\nrFdsgSQkMTAwe6KTMTMzMzMzM7M2uIaSdU2zGkrjXWOm20W5u8E1lMrptbz6IJ++ug7MzMzMzKx3\nuYeSmZmZmZmZmZm1ZNI0KPVLvZ9+idmtuK4ZUy3XUCrPNZTMzMzMzMzKmzQNStaZgYHZrn3UgKSz\nJA1LuqkwbbqkyyXdKekySdMK874kaZmkQUlzJiZrMzMzMzMzs864hpKV0k5tmMlQQ0nSq4HHgLMj\nYq887TTgoYj4nKQTgekRcZKkw4HjI+KNkvYFvhgR+zWJ6xpKJfRaXn2Qj2somZmZmZlZJdxDyawD\nEfFzYFXd5COAxfnx4vy8Nv3s/LprgWmSZoxHnmZmZmZmZmZV6lqDkqQhSTdKukHSdXla06FA3dYv\n9X76JWa34m4kNWN2iIhhgIhYAeyQp+8I3F9Y7vd5Wte4hlJ5rqFkZmZmZmZWXjd7KK0B5kXE3hEx\nN087CbgiInYHrgRO7uL6zXpNo+FGvTF2zMzMzMzMzKwFU7oYW6zfYHUEcEB+vJj0X/kndTGHtebN\nm+eYfRC3W7mOs2FJMyJiWNIA8GCevhzYqbDcTOCB5mEWMDJyI0uWPMrKlSuZM2fO2v1T67kyXs/r\nVRFv6dKlHedXyKiS/Kp5/bzK8unk+eDgYF77KcAQZmZmZmZmVepaUW5JvwNWknpgfDUiviFpVURM\nLyzzUEQ8p+51Lsrdg9Yt7rslMALAjBmzWLFiqMRrNs6i3Dn+bODiiHhpfn4asDIiTpN0ErBtLsr9\nBuBDuSj3fsAiF+XuTK/l1Qf5uCi3mZmZmZlVoptD3l4VEa8A3gB8SNJrmMDhPf1S76c/Yo6QDuVV\nDA/fW2nkfqsZI+lc4JfAbpLuk/Qu4LPAIZLuBA7Kz4mIS4B7JN0NfBX4YLfzcw2l8lxDyczMzMzM\nrLyuDXnLxYiJiD9K+gEwl+ZDgeosAIZYuhQWLVpUyVCfmokYetLK89owlaqHvnRraFFtmeLyb33r\n0axaNdx0+TSt8fqq2P7BwUFWr14NwNDQUIP1Vycijm0y6+Amyx/fxXTMzMzMzMzMxkVXhrxJehaw\nSUQ8Jmlr4HLgU6TeGrWhQCcC0yPipLrXeshbD2o8fC09jggGBmbX9VZaf3jbxjrkrRs85K2cXsur\nD/Lpq+vAzMzMzMx6V7d6KM0AlqQfxUwBvh0Rl0v6FXC+pHcD9wFHdmn9Ns5SY1Kx8cjMzMzMzMzM\nNlZdqaEUEfdExJyI2DsiXhoRtRoyKyPi4IjYPSIOiYjV3Vh/I/1Rm6h/YubI1Ud0zZhKuYZSea6h\nZGZmZmZmVl43i3KbmZmZmZmZmdlGqCs1lDrhGkq9aUM1lBrP39C0LYERZsyYxYoVQ13Nvd9qx7iG\nUjm9llcf5NNX14GZmZmZmfWurt3lzWzDRoBgeHjj/I0raQh4GFgDPBURcyVNB74LzAKGgKMi4uEJ\nS9LMzMzMzMysDZNmyFu/1CYar5gDA7ORxMDA7Kbzms0vRK4ow0LEjatmzBpgXq4lNjdPOwm4IiJ2\nB64ETu5mAq6hVJ5rKJmZmZmZmZU3aRqUbF21u7KlfxvPazbfShPrX2NHAIvz48XAW8Y1IzMzMzMz\nM7MKuIZSCwYGZjM8fG/Xa/6Mh9HaKqN1Xmrbl5SpkbSh+eWndfM8nKgaSpJ+B6wkbeRXI+IbklZF\nxPTCMg9FxHMavNY1lErotbz6IJ+Nc3ypmZmZmZmNO9dQasFor57Wf5MVG2t6tUFqtGfSeP/m3CL/\n8O3dfdOmV0XECknPBS6XdCejv+5LWMDIyI0sWfIoK1euZM6cOcybNw8YHQo1Xs+TpcDErL/Z83Vz\nKzxzPgwODua1n0Iq12VmZmZmZladSdNDaenSpev8OG6ngWf0f/vT3cnaey2M1XOhPs8qNIrZqIdS\ncVq5HkhLgQMr6aHUzV4dvXCXN0kLgceA95LqKg1LGgCuiog9GixfSQ+lqs6ndHyvIjUodX6Mqs2r\nmnOnipx6bT+5h5KZmZmZmXXLpK2h1FmdoJH82qvarDG0RYmC171itPeQlSfpWZKm5sdbA68HbgYu\nAhbkxY4DLpyQBM3MzMzMzMw6MGl6KDVYD632bBirB0+r6xuP2kHl8hntbZW00rMoPXYPpYbrfAGw\nhLRhU4BvR8RnJW0HnA/sBNwHHBkRqxu83jWUSui1vPogH7cOm5mZmZlZJVxDqSJV1Uga/1pLtd5W\n0F7tJPdgaiQi7gHmNJi+Ejh4/DMyMzMzMzMzq85GMeRtYGA2ktYZRlY/bf2iueXijG0ptQaVzobQ\njaoqzjpZltj2NiOzboOU9Zpqj311sbp3TravupyqitOb+8nMzMzMzAw2kgalRo0w7TTMtNeY07xB\npdhA1dgWLTZgmZmZmZmZmZlNvL5rUNpwL6LGQ7Bav1NSmcLZY8csNlA1NkIVvZE2tE+OPnoBkth0\n06030MDVqnkVxbFuqfaOgdXFqvpOhlWoLqeq4vTmfjIzMzMzM4M+rKE02kgDw8ONGkZqjTTFealx\nqLWaRCnO8PCWPV8jaEP7pDZ/zZr6gthmZmZmZmZmZq0b9x5Kkg6TdIekuySdWPZ1tV447RkBrhqj\nF9BYhaVHexGtb2kb8Zqptrj1hofbVWFpF2NvvNq9BtrhGkrluYaSmZmZmZlZeePaoCRpE+DLwKHA\nS4BjJL24zGuLvXBGtdIIM0ixZtG62i0sPdhkejvxGr1m/WF3tYai5sPX1i8S3j3Ntt+a6eQaaMfg\nYJXHqLpY1eZVjepy2rj3k5mZmZmZGYx/D6W5wLKIuDcingLOA45otvDnP//lDfSyaaXhZjVj9zZq\nx+qK4jRTG3a3Yu1+GB2+9gSNt2U877rW7e3fKLV0DXRq9eoqj1F1sarNqxrV5bRx7yczMzMzMzMY\n/walHYH7C8+X52kNPf74Q3S/l00/qLohzCZQS9eAmZmZmZmZWS8a7walRl2N1msl2WabN7HFFudW\nvOqhiuN1K2Y/GZroBPpRqWsA0nXw9NNXstlmm7W9sqGhobZf2yBadZEqzasa1eVUVZze3E9mZmZm\nZmYAihi/Xi+S9gNOiYjD8vOTgIiI0wrLuBuOVS4ieuK2dmWugTzd14FVrleuAzMzMzMz63/j3aC0\nKXAncBDwB+A64JiIuH3ckjCbQL4GzMzMzMzMbGMwZTxXFhHPSDoeuJw03O4s/5C2ycTXgJmZmZmZ\nmW0MxrWHkpmZmZmZmZmZ9b9xKcot6SxJw5JuKkzbS9IvJd0o6UJJU/P0WZKekPSb/Hdm4TX7SLpJ\n0l2Sbikbs27eLXn+5p3ElHSspBtyjjdIekbSXnneywsxF7W4/VMk/Xt+/a25xk7tNYdJuiPHvb6F\nmJtJ+maOeYOkA5rs029IulLSbZJulvR3eZnpki6XdKekyyRNK7z+S5KWSRqUNKcw/bgc87c5XqmY\nknbP2/AXSSfUnUe17f+dpLtbiHls3ieDkn5eO04N9umJzc/i7tjQ+iVtLum8vI+vlrRzm3GOk/Sg\nRq+rdzeJs9652mCZhse81ViSDpC0upDTJ5ssN7PRedlOXmVilclL0haSrs3X082SFjZYpuyxKxOr\n1PHLy26Sl7mo3ZzMzMzMzMw2KCK6/ge8GpgD3FSYdh3w6vx4AfDp/HhWcbm6ONcCc/Pjq4EPlIy5\nKXAj8Ff5+XRGe2e1FbMur78C7m6S5yXACS1s/zHAufnxVsA9wM6kxr+78/7ZDFgGvKVkzA+ShlYB\nPBf4VZNcrwA+kB9PJdX6eTFwGvCPefqJwGfz48OBH+XH+wLXFPbvb4FpwG7A/flxmZjPBV4O/DNw\nQiHP4vbPLMQpE3M/YFp+fFghz/p9Ogi8eDyuibLrJ52PZ+bHbwfOazPOccCX2rlW6+Y3POZtxjoA\nuKhETgPAnPrzsp28SsYqm9ez8r+bAteQr6NWjl0LsUodv7zsR4H/aLQNreTkP//5z3/+85///Oc/\n//nPf2P9jUsPpYj4ObCqbvJueTqkhoz/Xpi33p2IJA0Az46I6/KkLwKvKhnz9cCNEXFLzmdVRESH\nMYuOAb7TJM+zgV0pv/0BbK1UvPlZwAjwCDAXWBYR90bEU8BZpB/OY8V8a368J/DTvO1/BFZLekWD\nXL8B7JWXewy4ndR4cwSwOC+zOD8n/3t2Xv5aYJqkGcChwOUR8XBE3AX8EDhsAzHfUssvIn4NPF23\nbcXtXw58CziiZMxrIuLhPP0aYMcGMZ8Czits23gos/7iNl1AKubdThxocF3Va3Kt1ufT6Ji3E6ts\nTisiYjA/rh3vHesWK5VXyVhl83oiP9yCVI+ufvxwmWNXNlapnCTNBN5AupYbKZ2TmZmZmZnZWMal\nQamJWyS9KT8+itQgUDNb0q8lXSXp1XnajsDywjLLSb0NysTcDUDSpZJ+JekfKohZ9HZyg1KTmI1+\nsDaLewHwBOkOYEPA5yNidY5xf4u57pQf3wgcIWlTSS8g9QDaaaxcJc0m9S65BpgREcOQfpADOxS2\ntT6nHRtM/z2w4wZiPne9PbSuhutqI+Z7gR9vIP/xUmb9a5eJiGdIjYHbtREH4K15ONj5ueGhipx/\n32RdZe2Xh3r9SNKeG1q4cLyv7TSvMWKVyisPLbsBWAH8JCKub5bTGMeubCwod/z+FfgHGjdItZST\nmZmZmZnZWCayQendwPGSrge2Bp7M0/8A7BwRLwf+HjhXqRZQo/+dr//R1CzmFGB/Uk+i1wB/I+nA\nDmMCIGku8HhE3FabVCLmWHH3JfXOGQBeCHws//DtJNdvkn5gXw98AfhFXkfDmHl/XwB8V5V9LQAA\nB1JJREFUOPfiaPbjtP71yss2irtZyZjNNIo5pZWY+Zi/izQcrlnM8axSX2b9zfZxq3EuAmZHxBxS\nb7XF67+klCr32a+BWRGxN/Bl4Adjrnj987LtvDYQq1ReEbEmLzMT2LdBw1OZY1c21gaPn6Q3AsO5\nB5YarL+lnMzMzMzMzMYyYQ1KEXFXRBwaEa8kDdH5bZ7+ZESsyo9/k6fvRup1sVMhxExguEzM/Nqf\n5aFufybVNdqnw5g1RzPaO6m2rvqYD5TdflKj16X5B+YfSY0/r8hxiwV0S+caEc9ExAkRsU9E/A2p\nxtGyJrn+gfRD+5yIuDBPH64NH8rD5B7cwLbW57pT3q4yMZupj7kzabhOqZhKhbi/Bry5dn41iNnw\nWHVRmfXfT97HeRjkNoX8S8fJ5/5T+enXSb3U2s15g+d3GRHxWG2oV0T8GNhsjB48tcbD4vFuK68N\nxWolr7zMI8BSUn2uojLHrlSsksdvf+DNkn5Hek86UNLZneZkZmZmZmbWyHg2KK3zP+aSnpv/3QT4\nJPCV/Hz7PA1JLwR2AX6XhzA9ImmuJAHzSXWCNhgTuAzYS9KW+cfkAcCtHcYkv+ZIUuMNsHaoVX3M\nC0ts///Ns+4DXpfnbU0qKH07qXfRLkp3wduc1JBVKldJW0l6Vn58CPBURNzRJNddgNsi4ouFY3cR\nqcg3+d8LC9Pn57j7AavzkLPLgEMkTZM0HTgW+MUYMY8rxCwq9qao3/6PAVeXiZnvZPV94J0RUWwQ\nbLRP17szVheVWf/FpG2BdK5d2U6c3MBWcwRwG801690CzY95y7GKNY5yTz9FxMomcb7J+udlu3mN\nGatMXvl9qnYXwa2Ag4E76kKVOXalYpU5fhHx8YjYOSJeSDoHroyI+e3kZGZmZmZmtiFTxmMlks4F\n5gHPkXQfsBB4tqQPkYZb/GdE/Hte/LXApyU9BTwDvD/XEIJ0t7J/B7bM804tEzMiVkv6AvArYA3p\nblCXdhKzkOv9ETFUt8nFmJeQfuhuaPtrQ1jOAL4l6Zb8/KyIuDXvx+OBy0kNgY8D55TMdQfgMknP\nkIa+vbNJrjeQioNvn+u5BPBx0t3Tzle6Vfl9pB+iRMQlkt4g6e6cz7vy9FWS/jnv7y1Iw+/2LxMz\n/5j/FfBsYI2kDwN7RsRjhe1/FrAtMKdMTOCfgO2AM3PD2VMRMTcinqnbp2dFxO2Mk2brl/Qp4PqI\n+CGp+Po5kpYBD5EaCtqJ83eS3gw8BaxktOFtHU2u1c3TauJrzY55O7GAt0n6QM7pz6RaZI3i7A+8\nA7i57njPajWvMrFK5vU8YHFuvN0E+G7OoaVj10KsUsevyTa3k5OZmZmZmdmYFOHyGWZmZmZmZmZm\nVt5EFuU2MzMzMzMzM7M+5AYlMzMzMzMzMzNriRuUzMzMzMzMzMysJW5QMjMzMzMzMzOzlrhBycys\nA5I+J+l2SYOSvi9pmybLHSbpDkl3STqxMH22pGsk3SnpO5KmFOYdJelWSTdL+o8N5LGFpGsl3ZCX\nX1jdVpqZmZmZma3LDUpmZiVJOkDSt+omXw68JCLmAMuAkxu8bhPgy8ChwEuAYyS9OM8+DTg9InYH\nVgPvya/ZFTgR+OuIeCnwkbFyi4gR4MCI2BuYAxwuaW57W2pmZmZmZjY2NyiZmbUm1nkScUVErMlP\nrwFmNnjNXGBZRNwbEU8B5wFH5HmvA76fHy8G3pIfvxc4IyIeyev5Uy2YpI9Jui73ilrbEykinsgP\ntwCm1OdqZmZmZmZWFTcomZm1RmPMezfw4wbTdwTuLzxfDuwo6TnAqkKD1PK8LMBuwO6Sfi7pl5IO\nBZB0CLBrRMwF9gZeIenVed4mkm4AVgA/iYjr29tEMzMzMzOzsU3Z8CJmZpObpGuAzYFnA9Ml/SbP\nOjEifpKX+QTwVESc2yhEg2mRp9fPq/UqmgLsArwW2Bn4L0kvAV4PHJJzELA1sCvw89wwtXeu4/QD\nSXtGxG1tbbSZmZmZmdkY3KBkZrYBEbEfpBpKwHER8e7ifEnHAW8gDV9rZDmpUahmJvBARPxJ0raS\nNsmNQTOBBwqvuTpPH5J0J6nhSMCpEfH1MfJ9RNJS4DDADUpmZmZmZlY5D3kzM+uApMOAfwTenAtj\nN3I9sIukWZI2B44GLszzrgSOzI+PK0z/AbmBStL2pMak3wGXAe+WtHWe93xJz5W0vaRpedpWwMHA\nHdVtqZmZmZmZ2Sg3KJmZdebfgKnATyT9RtKZAJKeJ+mHABHxDHA86Y5wtwLnRUStseck4ARJdwHb\nAWfl11wGPCTpVuCnwMciYlUeYncucLWkm4Dv5fU/D7hK0iBwLXBZRFwyDttvZmZmZmaTkCJ8EyAz\nMzMzMzMzMyvPPZTMzMzMzMzMzKwlblAyMzMzMzMzM7OWuEHJzMzMzMzMzMxa4gYlMzMzMzMzMzNr\niRuUzMzMzMzMzMysJW5QMjMzMzMzMzOzlrhByczMzMzMzMzMWuIGJTMzMzMzMzMza8n/B85FyMSc\nSo8ZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5850ea710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "numeric_features.hist(bins=50, figsize=(20,15));\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzcAAAHqCAYAAAA57rACAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\no6Ojo2OhoHNuOjo6Ojo6Ojo6OjoWCv4fMCErZ4WtzLEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5850ca978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr_with_SalePrice = train.drop([\"Id\"], axis=1).corr()[\"SalePrice\"].sort_values(ascending=False)\n",
    "plt.figure(figsize=(14,7))\n",
    "corr_with_SalePrice.drop(\"SalePrice\").plot.bar()\n",
    "plt.show()\n",
    "\n",
    "del corr_with_SalePrice"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Categorical Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 1460 entries, 0 to 1459\n",
      "Data columns (total 43 columns):\n",
      "MSZoning         1460 non-null object\n",
      "Street           1460 non-null object\n",
      "Alley            91 non-null object\n",
      "LotShape         1460 non-null object\n",
      "LandContour      1460 non-null object\n",
      "Utilities        1460 non-null object\n",
      "LotConfig        1460 non-null object\n",
      "LandSlope        1460 non-null object\n",
      "Neighborhood     1460 non-null object\n",
      "Condition1       1460 non-null object\n",
      "Condition2       1460 non-null object\n",
      "BldgType         1460 non-null object\n",
      "HouseStyle       1460 non-null object\n",
      "RoofStyle        1460 non-null object\n",
      "RoofMatl         1460 non-null object\n",
      "Exterior1st      1460 non-null object\n",
      "Exterior2nd      1460 non-null object\n",
      "MasVnrType       1452 non-null object\n",
      "ExterQual        1460 non-null object\n",
      "ExterCond        1460 non-null object\n",
      "Foundation       1460 non-null object\n",
      "BsmtQual         1423 non-null object\n",
      "BsmtCond         1423 non-null object\n",
      "BsmtExposure     1422 non-null object\n",
      "BsmtFinType1     1423 non-null object\n",
      "BsmtFinType2     1422 non-null object\n",
      "Heating          1460 non-null object\n",
      "HeatingQC        1460 non-null object\n",
      "CentralAir       1460 non-null object\n",
      "Electrical       1459 non-null object\n",
      "KitchenQual      1460 non-null object\n",
      "Functional       1460 non-null object\n",
      "FireplaceQu      770 non-null object\n",
      "GarageType       1379 non-null object\n",
      "GarageFinish     1379 non-null object\n",
      "GarageQual       1379 non-null object\n",
      "GarageCond       1379 non-null object\n",
      "PavedDrive       1460 non-null object\n",
      "PoolQC           7 non-null object\n",
      "Fence            281 non-null object\n",
      "MiscFeature      54 non-null object\n",
      "SaleType         1460 non-null object\n",
      "SaleCondition    1460 non-null object\n",
      "dtypes: object(43)\n",
      "memory usage: 490.5+ KB\n"
     ]
    }
   ],
   "source": [
    "categoricals = train.select_dtypes(exclude=[np.number])\n",
    "categoricals.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADmCAYAAABPsLDHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZjLLxGEyy8RhMsvEYTLLxGEyy+T/AY853V0C+QFvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5851bd4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADgCAYAAACZ6VPaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ns0wcJrNM/h9NBxhu3Nz7JgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5806dc630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMYAAADgCAYAAABYbhl2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5850ea5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANIAAADcCAYAAAAFk/8yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngpIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5824eb240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADcCAYAAADqUZQMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5811ce860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADyCAYAAADX9/BKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nfAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58286eb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADyCAYAAADX9/BKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5803cb710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADdCAYAAAAhDUepAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5804fb080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAM4AAAD5CAYAAABvYArRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5828e5240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADnCAYAAACE7GNiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEL0yAyIIup4QUxAUIsQUBIUIMQVBIf4fk5dzIrXdQWEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5804f8a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADnCAYAAACE7GNiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noBD/B6SAunFqRgP0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb580194780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADvCAYAAABov+EPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSIQphEIiTCEUEmEKoZD/B/eqXEY65/2CAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58256d588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADqCAYAAADu16rZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nP/be8Gbjx4ZLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58254bc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADzCAYAAAAcqyPvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIRTy/4Ra/eTgtNwXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58050d550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAAD4CAYAAAB2bNMsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8sjoWOKpnNUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb580914e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAAD5CAYAAABrldrsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5803eb470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAAD2CAYAAACaw2g5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58047b9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADxCAYAAACHxliBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAFtNJREFUeJzt3XmUXGWZx/HvL0F2SNgbiBBBUASBgCyCQkBw2BcFDUNk\n1dEDKohbdNTAQQfjHBQQRkZlIIQt7IIHISo20aMBIQn7orLGQJAl7GIgv/njfStd6VSn66ar+lZV\nP59z6nTVvbfvfaqrnn7v9ryvbBNCqM+wsgMIoZ1EwoRQQCRMCAVEwoRQQCRMCAVEwoRQQCRMCAVE\nwiwjSY9L+qekNXtNny1poaSNlnG950uaXGP61nl7I5dhna9Iejk/3pb0etW0I5YlzqEqEmbZGXgM\nWPSFk7QVsGKet6wuAg6VtFKv6Z8CbrQ9v8jKJA23vZrt1W2vDjwB7F817fIBxDrkRMIMzBTg6KrX\nRwOLWgdJ+0maKeklSU9Imlg1bwVJUyQ9J+lFSbdLWsf2DGAu8PGqZYcB/05KJiRNlDRV0uTcStwr\nabuq5R+T9DVJdwOv5t9fNDs/KstuIOk1SatXTdtJ0tOShkk6XtJtks6TNF/S/ZLGVi07QtL/SZor\n6UlJpy37n7P1RcIMzAxgNUnvyV/KTwCX0POFfBX4lO0RwP7A5yQdlOcdDawObAisCXwOeCPPu5jF\nE3FvYDng5qppBwKXASOAG4HzesU2DtgXGGl7YV9vwPZc4PfA4VWTjwQurfq9XYAHgLWA7wLXVSXY\npcBrwLuADwD7STq2r+21u0iYgau0MnsDD5FaBwBsT7d9f35+H3AFsHuevYD0BdzcySzbr1atczdJ\nG+TXnwIus/121Xb/YPsWp5sBpwBb94rrbNtzbb9Zx3u4OG8DScOBT+Z1Vsy1fZ7tt/Mu3KPAvjm+\nPYFTbL9p+1ngbKp2UzvNcmUH0AEuAaaT/sNeXD1D0k7AGcBWwPL5cVWePQUYBVwhaURez3/mL+VT\nkn4PjJd0HnAI8KFe232m6vnrwIqShlW1CnMKvIfrgHMljQK2BZ61fXfV/N7regLYANgYWAGYJwl6\ndvceK7DtthItzADZfpL0BdkXuLYyOf+8FLge2ND2SOB/ybtrtt+yfbrtLUm7PAcCR1WtejKp5fo4\n8Kjt2UVDK/Ae3gCuAcbnx5Rei4zq9XojUkv6FPCa7TXzYw3bI22PKRhr24iEaYzjgD3zFw96jmFW\nBV60vUDSjqQD97SANFbSVvnY51XSLlr1Ltc1wDuB06g6kbAU6n+RpZpCeh/7kVq7autLOkHScEnj\ngE2Am23PAW6TdKak1ZRsKunDA4ylZUXCLLtF/8FtP2Z7Zo15JwCnS3oJ+BYwtWqZLuBq4CXgfuB3\nVH1Rbb9OSpoNSS1V3fGw9Nal5jzb04HhwIx8IqDaH4EtgReA7wAfs/1SnjceWIV0UuAF4EpgvTri\nbUuqp4BM0knAp/PLn9k+R9IapC/AxsDjwCcqf0RJ55B2UV4DjlmG3YlQAkm3ARfYvrhq2vHAkbb3\nLC+y1tFvCyNpS+B40inDbYEDJL0bmAD8xvZ7gFuBb+Tl9wU2tb0Z8Fng/CbFHhpI0s6kVuSq/pYd\nyurZJduC1Ey/mU9rTgcOBQ6iZ996MnBwfn4w+WyR7duBEZI6tonuBJIuAW4Cvlh1HBZqqCdh7iNd\nE1hD0sqkg8J3AuvZngdg+xlg3bz8hqSzJxV/z9NCi7I9Pp/luqzGvAtid6xHv9dhbD8kaRLwG+AV\nYDbw1lJ+pdbZmuhpI3SEui5c2r4QuBBA0vdILcg8SevZniepC3g2Lz6H1AJVjKLq6neFpEii0LJs\n1zxNX9dpZUnr5J8bkY5fLgduAI7JixwD/CI/v4F8AS4fSM6v7LrVCKqhj4kTJzZ8nc14RJytHefS\n1HtrzDW57mMBcILtl/Ju2pWSjgOeJN+8Z/umfJfuX0mnlTv2Rrww9NS7S7ZbjWkvAHv1sfznBxhX\nCC2po670jx07tuwQ6hJxNtZgxlnXlf6mbFhyWdsOYWkk4YEc9IcQkrZImK6u0Uhq2KOra3TZbym0\nqbbYJUvFSY2MU/2ePgxDV+yShdAgkTAhFBAJE0IBkTAhFBAJE0IB9d58+SVJ90m6R9KlkpaXNFrS\nDEkPS7pc0nJ52eUlXSHpL5L+pGXsYziEVlRPifIGwBeA7WxvTbr/7AhgEnCmU4nyfFIZM/nnC04l\nymcBP2hG4CGUod5dsuHAKrkVWYlU37IHqVcTSCXKh+TnB9NTunw18JHGhBpC+fpNGKcud84k3cL/\nd1K3QDNJdS7VvSxWypAXlSg79QEwX72GhAihXdWzSzaS1GpsTOoedBVSF0q9VS6d975C2ujL9CGU\npp56mL1IXZW+ACDpOlLXpiOr+vKtLkOulCjPzR1br277xVorPvXUUxc9Hzt2bNvcTh46S3d3N93d\n3XUt2++9ZLmL0wuAHYA3SbX9fwZ2A661PVXST4C7bZ8v6QRgK9sn5G5FD7E9rsZ6416y0JKWdi9Z\nvT1fTiSNN7IAmEXqBXMUafiGNfK08U59CK9A6qd3DPA8MM724zXWGQkTWtKAE6YZImFCq4q7lUNo\nkEiYEAqIhAmhgEiYEAqIhAmhgEiYEAqIhAmhgEiYEAqIhAmhgHruVt5c0ixJM/PPlyR9MY9INi1X\nXN4iaUTV75yTKy5nS9q2uW8hhMFTTz3MI7bH2N4O2J40hMV1xKCwYQgquku2F/A320+xeGVlDAob\nhoSiCfNJoDJwaAwKG4acuhNG0jtIQ41XxnHv63bfGBQ2dKx6h+yDVJZ8l+3n8usBDQoLUXEZWkND\nKy4XLShdDtxse3J+PYnUndIkSROAkbYnSNoPONH2/nlQ2LNs71xjfVEPE1pSIyouVyL1GrOJ7Vfy\ntDWBK0mtyZPA4bbn53nnAvuQB4W1PbPGOiNhQkuKissl1xgJE/oUFZchNEgkTAgFRMKEUEAkTAgF\nRMKEUEAkTAgFRMKEUEAkTAgFRMKEUEAkTAgF1Dso7AhJV0l6UNL9knaKEuUwFNXbwpwN3GR7C2Ab\n4CGiRDkMQfUMqLQaMNv2pr2mPwTsXlUP8zvbW0g6Pz+fmpd7EBhbqc6s+v24+TK0pIHefLkJ8Jyk\nC3PPMT+VtDJRohyGoHoSZjlgO+C83HPMa6TdsShRDkNOPSXKc4CnbN+ZX19DSpgoUQ4doeElypJu\nAz5j+5E83uXKeVaUKIeO04gS5W2AnwPvAB4FjgWGEyXKoQNFifKSa4yECX2KEuUQGiQSJoQCImFC\nKCASJoQCImFCKCASJoQCImFCKCASJoQCImFCKCASJoQC6i1RflzS3XkU5TvytChRDkNOvS3MQlLV\n5BjbO+ZpUaIchpx6E0Y1lo1RlMOQU2/CGLhF0p8lfTpPixLlMOTUOyjsLrafkbQOME3Sw0SJchiC\n6kqY3IJg+x+Srgd2JEqUQ4doaIly7iFmmO1XJa0CTANOAz5ClCiHDrS0ArJ6Wpj1gOskOS9/qe1p\nku4ErpR0HLlEGcD2TZL2k/RXcolyQ95FCC0gSpRD6CVKlENokEiYEAqIhAmhgEiYEAqIhAmhgEiY\nEAqIhGmQrq7RSGroo6trdNlvK/QS12EatcaGxwhxvagccR0mhAapO2EkDcsjkN2QX4+WNCNXXF4u\nabk8fXlJV+SKyz9J2qhZwYcw2Iq0MCcBD1S9ngScmSsu5wPH5+nHk27K3Aw4C/hBIwINoRXUW9M/\nCtiPNEZMxZ6k0cggVVwekp9XV2JeTbqrOYSOUG8L8yPgq+SjWklrAS/aXpjnz6GnqnJRxaXtt4H5\nktZsWMQhlKjfhJG0PzDP9mx6qinFkpWVrpq32CqIisvQIeqph9kVOCgXhq0ErEY6NhkhaVhuZaqr\nKisVl3MlDQdWt/1irRVHxWVoBQ0fFHbRwtLuwJdtHyRpKnCt7amSfgLcbft8SScAW9k+QdI44BDb\n42qsK67D9L/WuA5TgmZdh5kAnCLpEWBN4II8/QJgbUl/AU7Oy4XQEeJKf6PWGC1Mx4gr/SE0SCRM\nCAVEwoRQQCRMCAVEwoRQQCRMCAVEwoRQQCRMCAVEwoRQQCRMCAXUc3v/CpJuzwPC3itpYp4eJcph\nyOk3YWy/CexhewywLbCvpJ2IEuUwBNW1S2b79fx0BVINjYE9iBLlMMTUW9M/TNIs4Bng18DfgPlR\nohyGmnpbmIV5l2wUaXzLLWotln9GiXLoWPWOogyA7Zcl3QbsDIyMEuXQCRo9KOzawALbL0laCbgF\n+D5wNFGi3LPGKCDrGEsrIKsnYd5POogflh9TbX9P0ruAK4A1gFnAeNsLJK0ATAHGAM8D42w/XmO9\nkTD9rzUSpgQDSphmiYSpa62RMCWIEuUQGiQSJoQCImFCKCASJoQCImFCKCASJoQCImFCKCASJoQC\nImFCKKCeistRkm6V9ECuuPxinr6GpGm54vIWSSOqfuecXHE5W9K2zXwDIQymelqYt4BTbL8P+CBw\noqT3koax+E2uuLwV+AaApH2BTXPF5WeB85sSeQglqKdE+Zk8XB+2XwUeJN3OX11ZOTm/Jv+8OC9/\nO2mksvUaHHcIpSh0DCNpNKmufwawnu15kJIKWDcvtqjiMvs7PdWYIbS1uhNG0qqkGv2TckvT1220\nte7yjFtuQ0eoq+Iyd6F0NTDF9i/y5HmS1rM9T1IX8GyeXqm4rKiuxlxMVFyGVtDwQWElXQw8Z/uU\nqmmTSN0pTZI0ARhpe0IebflE2/tL2hk4y/bONdYZ9TD9rzXqYUow0IrLXYHpwL2kb4SBbwJ3AFeS\nWpMngcNtz8+/cy6wD/AacKztmTXWGwnT/1ojYUoQFZdLrjESJvQpKi5DaJBImBAKiIQJoYBImBAK\niIQJoYBImBAKiIQJoYBImBAKiIQJoYBImBAKqKdE+QJJ8yTdUzUtypPbVFfXaCQ19NHVNbrstzVo\n6mlhLgT+rde0KE9uU/PmPUHPPbSNeaR1Dg31lCj/Aeg9gliUJ4chaVmPYdaN8uQwFDX6oD/Kk0NH\nKzQobJUBlydDlCiH1tCMEuXRwI22359fD6g8Oa8jCsj6X+uQjbNMAy1RvgwYC6wFzAMmAtcDV7GM\n5cl5uUiY/tc6ZOMsU5QoL7nGIftFbJc4yxQlyiE0SCRMCAVEwoRQQCRMCAVEwoRQQCRMCAVEwoRQ\nQCRMCAVEwoRQQCRMCAU0JWEk7SPpIUmPSPp6M7YRQhkanjCShgHnksqatwSOyKMuD4LuwdnMgHWX\nHUCdussOoC713prfCM1oYXYE/mL7CdsLgCvoKWFusu7B2cyAdZcdQJ26S9tykc469thjj0HrrKMZ\nCdO7THkOUaYcCirWWcfEupZrRGcdzUiYKFMOHavh9TC50vJU2/vk1xMA257Ua7lIotCyBq2ATNJw\n4GHgI8DTpMFjj7D9YEM3FEIJlrUTjD7ZflvS54FppF2+CyJZQqcorUQ5hHYUV/pDKCASJixB0ipl\nx9CqOiJhJH1I0rH5+TqS3lV2TL1JWlnStyX9LL/eTNIBZcdVTdIukh4AHsyvt5H0PyWHVZOkzSX9\nLI8icWvl0fTttvsxjKSJwAeA99jeXNIGwFW2dy05tMVImgrcBRxleytJKwF/st0yQ4JIuh04DLjB\n9pg87T7bW5Ub2ZIk3U0aHeIu4O3KdNt3NXO7DT9LVoJDgTHATADbcyWtVm5INW1q+5OSjgCw/YZS\nJ2EtxfZTvcJ6u69lS/aW7Z8M9kY7YZfsX7lHQENL73//K7cqlTg3Bd4sN6QlPCVpF8CSlpf0FfLu\nWQu6UdIJktaXtGbl0eyNdsIu2VeAzYC9gTOA44DLbP+41MB6kbQ38C3gfaRrVLsCx9juLjOuapLW\nBs4G9iLd4jQNOMn286UGVoOkx2pMtu1Nmrrddk8YWPRl/CjpQ77F9q9LDqkmSWsBO5PinGH7uZJD\nCgV1RMK0A0mHArfafim/HgmMtX19uZH1kLQO8BlgNFXHt7aPKyumvuRbsPZnyVh/2NTttnvCSPoY\nMIk0Cpryw7ZXLzWwXiTN7n1GTNKsytmoViDpj8DvWfLM0zWlBdUHSTcB/wTuBRZWpts+rZnb7YSz\nZD8ADmyD+9VqnWBptb//yrbbpaR8lO2tB3ujnXCWbF4bJAvAnZJ+KGlTSZtI+hHpP3kr+WUeFKsd\n/ErSRwd7o52wS3Y20EUa5GnRaVrb15YWVA35dPe3WfwM1Hdtv1ZqYFUkvQKsAvwLWJAnt9zuLSw6\nJryE9E9/AYO0K94JCXNhjcluxQPV0Dj5tPLBwL11j8zViO22e8K0i3wG6muknnRWrEy3vWdpQdUg\n6SBgt/yy2/Yvy4ynL5Kmk84yLux34QZqtYPOwiSNAn5MuhBo4A+ki21zSg1sSZcCU4EDgM8BRwP/\nKDWiXiR9H9iBFCvASZI+ZHtCiWH15VGgW9KvWHxXPE4rL42kXwOXAVPypPHAkbb3Li+qJUm6y/b2\nku6pnN2R9GfbO5QdW4Wke4BtK/+187WOWWWcjepPvul2CXFauX/r2K4+jrlI0smlRdO3ykH005L2\nB+YCTb/3aRmMBF7Iz0eUGUgtklYEVuudGJLWBV5u9vY74bTyc5LGSxqeH+OBlrv3CfiupBHAl4Gv\nAD8HvlRuSEs4A5gl6SJJk0mnvc8oOabezgE+XGP6rsCPmr3xTtgl24jUNe0HSccwfyQdwwy817Yh\nSNL6pOMYAbfbfqbkkBZT2bXtY979trds5vbbvoWx/aTtg2yvY3td24e0UrJImlb1/BtlxtIfSb+1\n/bTtG2z/wvYzkn5bdly9rLyUeU3/PrftMYyk7yxltm2fPmjBLN06Vc8Pp/V2cSrHBSsDa0tag57e\nS1cHNigtsNqelbSj7TuqJ0ragUE469i2CQPUukK+CnA8sBbQKgnTDvu8nwVOJiVH9e06rwDnlRJR\n374KXCnpInpi/QBwFDCu2Rtv+2MYgFySfBIpWa4EzrT9bLlRJZLmA9NJ/7U/nJ8vYvugMuKqlv87\nzwEOs/1jSUcDHwceJ3X7+8LSfn+w5TNiJwKVvgbuB84djM+8rRMml6SeAhwJTAbOtv1iuVEtTtLu\nS5tv+7bBiqUvkmYCe9l+QdJupCFKvgBsC2xh+7BSA6xB0va9O7yQdKDtG5u6Ydtt+QD+G/gb8HVg\n1bLjqSPe7WtMO7DsuHIcd1c9P4/UqlRezy47vj5ingm8v+r1EaSzek3dbtu2MJIWkm6JeIvFjxNa\ntYBsJnC07Xvz6yOAk23vVG5kqSsl0hX+tyQ9BPyH7emVeW7NbpY2Aa4m7V18iHQMc4BzRWuztO1B\nv+12OyV+GHC1pOoPeNDrOfpwOXCbpOeAN0hVl0h6N9DUL+Cysv2opHGkso6ngI/afqPZ223bFqYd\nSdqcng/4kMH4gOulNK7P+sA05xqdHO+qtmeWGlwVSfey+B7FuqSkfhPATb7vLRKmycr+gDuNpI2X\nNt9NvmgdCdNkZX/AnUhppO4HbA/S6Nw92vYYpl3YfqLMD7gT2V4o6WFJG9l+cjC3HQkzCMr8gDvY\nGsD9ku6g6q4PN/lCcCTM4CnlA+5g3y5jo3EMM0j6uuLvFrjS3+5yn9DPexC+zJEwJRjMD7jT5NPf\n3ydVhZ5OKk1fm3Rr/1G2b27m9tvt4l/bkbSzpG5J10oak6+q3wfMk7RP2fG1oXOB/yJdbL0V+LTt\nLlJPN00vnYgWpskk3Ql8k1Qf/1NgX9szJL0XuNwt1LdyO6juo1rSg7a3qJrX9L6qo4VpvuVsT7N9\nFfCM7RkAth8qOa52Vd0PWe87JZr+3z/OkjVfqR9wB9pG0sukm2xXys/Jr1fs+9caI3bJmkzS26TT\nyAJWAl6vzAJWtP2OsmILxUXChFBAHMOEUEAkTAgFRMKEUEAkTAgFRMKEUMD/A7HBjsq5mbe5AAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58298d400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANIAAADWCAYAAACkCNxUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ng2SWgYNkloGDZJbB/wP6WH7zMt61EwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5853a1978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADWCAYAAABLyrdqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nL41HdI2EKaKShCmikoQpopL/Bzlu8gmfe5I8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5803badd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADqCAYAAADu16rZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmBAK+H+QyKSsRzIKNAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5808f9d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADWCAYAAACdb20PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5825502e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADWCAYAAABLyrdqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5851d7f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANIAAADXCAYAAABvVA/xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5825636a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADeCAYAAABxPO9iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb582871e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADeCAYAAACnmTUHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58042dcf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADlCAYAAADJJMJpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhVBIJFMIhUQyhVDI/wN2cadTcTLrLgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb580487fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADWCAYAAACdb20PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5804da2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADQCAYAAACdk1R3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb582753898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADnCAYAAACE7GNiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPBMRGgRiNogAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5804eeef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADWCAYAAACdb20PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJqKBBCaigQQmooH/B6CcYgAsRd+aAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5808d1978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADhCAYAAABStYB/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRCUJU0QlCVNEJQlTRCX/D50Zp1qf3R7wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5804e8dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADWCAYAAACdb20PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58256df98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAAD1CAYAAAAcVxqXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58531c898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADbCAYAAAAh8X7RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1hl6+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5853c6a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADWCAYAAABLyrdqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAExdJREFUeJzt3Xu0XGV9xvHvk0AEAsRETI41kki4BQpEVK62RCiYaBVa\niQZXTAJUQaWl0IqAXQa0S4UWUURMtSmEityRgotKxBBRCygrBAIkAqvcL7FAAgW6WCH59Y/3nWTn\nMCc5OfPO5QzPZ629sve79+z97pN5Zl9m5jeKCMyscUPa3QGzbuEwmRXiMJkV4jCZFeIwmRXiMJkV\n4jBZ00kaJ2mtpK5+vnX1zrWbpOmS7pD0sqRnJd0u6XPt7lc9kg6S9AtJL0laKel6SbsV3ETXv6Hp\nMDWJpL8DzgfOAcZERA9wInCQpC03c11Dm9DF6voPBG4GfgK8A3g3sBT4jaQdm7ntrhIRHgoPwPbA\ny8BRG1nmw8Bi4EXgMWBOZd44YC1wXJ63KLdfBTwDrAQWAXtUHjMKuDGv707ga8CvKvN3BxYAzwPL\ngGmVebcB363Tx5uAeXl8VnV9uW0tsFM/92cNMKTd/zfNHHxkao4DgWHADRtZ5mXg0xExAvgIcKKk\nj/Va5k9JIfhQnr4JmACMJj1xL6ssexHwv3nebNKTPwAkbUMK0o+AHYBjgIskTZS0NXAQcE2dPl4F\nHFGZ7n2qVp3uz/50NYepOXYAnouItbUGSb/J1yKvSvpARNwWEfcDRMR9wBXAIZV1BOnV/f8i4rW8\n3CUR8WpErAa+Cuwjabt8Yf+XwFci4rWIWAbMr6zrz4FHIuLSSJYA1wJHk45oQ0hHvN6eAd6+kf3U\nus5uen+6nsPUHM8DO1TvXkXEwRExEngOGCJpP0kLJf1B0irgBFIIq56sjUgaIumbkh7Oyz9CCtwO\npCf80OrywBOV8XHAAZJeyMNK4FPAGNIp41rStVJv7wD+pz87LGn/fuxPV3OYmuN24DXgyDrzaq/m\nPwauB94ZEW8F/qUyr6Z6GvUp4KPAoXn58Xl5kZ7wrwNjK8u/qzL+BOm6a1QeRkbE9hFxUkS8mvs7\nrU5fPwH8Mo+/Amyzbieknl7LXtaP/elqDlMTRMSLpNOwiyR9XNJwJZNY/4TcFlgZEasl7UcKS1Xv\nJ+J2pICulDQc+AY5bPl08jrgLElbS9odmFl57E+BXSXNkLSFpC0lvS8vB3A6MEvSSZK2lTRS0j8C\nfwJ8PS9zD7CnpL0lvQWYw4Zh39z96T7tvgPSzQPpQv9O0sX5CtIR4HhgC9I1zqOku183ABcAl+bH\nveHuFzCc9Mr/EukUb0ZepnY3bQdSaFblbX4D+Hnl8bvk+X8gHcluAfauzD8IuJV0E2Mt6Y7c+3rt\nzxn5sY+RwlLd/mbtTzcO/XlCzMtPhHvrzPv7/IcfVWm7AHgIWAJMqrTPAh4Efg/MbPeOd/sAfBO4\neICP3SuH5vB278dgGvpzmncx62/NriNpLPBn+VWq1jYVmBARu5AuQOfm9pHAV4D3A/sDcySN6Me2\nrZ8k7SZprzy+H+kIeN1A1hURS4GjgL26/SNAJW3yDxURvybd8entfOCLvdqOBC7Nj7sTGCFpDCmM\nCyLixYhYRXrPY0ojHbc32A64TtLLpNvS/xQRNw50ZRHxm4j4VlRu79vGbTGQB0n6KPBERCyVNriu\nfCcb3pJ9Mrf1bn8qt1khEXEX6brI2mSzw5TfMf8ycHi92XWmo0479PHBR0ld/4FIG9wiou6dyYGc\nD08gvcdxj6RHSO9tLJY0mnQkqr6/MRZ4OrfvWKe9r842NMyZM6ftF6Od0o9O6EOn9KNEHzamv2Gq\nvTlIRNwXET0RsVNEvDsH5T0R8QfSLdGZAJIOAFZFxArSJ5IPlzQi34w4PLeZdY1NhknSj4H/Ir3p\n97ikY3stsu40LiJuAh6R9DDpHfDP5/aVpE8x30V6D+TsSDcizLrGJq+ZIqL3O9m95+/Ua/qkPpa7\nBLhkM/o2YJMnT27FZjapE/rRCX2AzuhHs/ugTZ0Htpqk6LQ+mdVIIgregDCzOhwms0IcJrNCHCaz\nQhwms0IGZZh6esYjqaGhp2d8u3fDusygvDWePlzbaL+1yY+HmPXmW+NmLeAwmRXiMJkV4jCZFeIw\nmRXiMJkV4jCZFdKfLwfOk7RC0r2VtnMlLZO0RNK1kravzDtD0kN5/hGV9imSlkt6UNKXyu+KWXsN\ntG7eAmDPiJhEKjh5BoCkPUj1qScCU0nlgZVrr12Y17MncEylNK9ZVxhQ3byIuCXW11O7g/UF4z8G\nXBERr0fEo6Sg7ZeHhyLisUg/h3IF9Yvamw1aJa6ZjiP9CBf0XR+vr3p6Zl1jQEUoayR9GVgdEZfX\nmuosFtQPbZ8fjDvrrLPWjU+ePLkj6gfYm9OiRYtYtGhRv5bt1wddJY0DboyIvStts4DPkn4v6LXc\ndjoQEXFOnv4Z6adHBJwVEVPqLddrW/6gq3WsEh90XVc3L69wCnAa8LFakLIbgOmShkl6N7Az8Fvg\nd8DOksZJGgZMZ+O/92o26GzyNC/XzZsMvE3S46QjzZmkH0D+ea41fkdEfD4iHpB0FfAAsBr4fD7M\nrJF0Euku4BDSL3gva8YOmbWLv89kthn8fSazFnCYzApxmMwKcZjMCnGYzApxmMwKcZjMCnGYzApx\nmMwKcZjMCnGYzApxmMwKcZjMCnGYzApxmMwKGWjdvJGSFkj6vaSbJY2ozLsg181bImlSpX1Wrpn3\ne0kzy++KWXsNtG7e6cAtEbEbsJD1dfOmAhMiYhfgBGBubh8JfAV4P7A/MKcaQLNuMKC6eaSad/Pz\n+HzW18A7Erg0P+5OYISkMaQwLoiIFyNiFenr61Ma775Z5xjoNdPoiFgBEBHPAqNze1/18fqqp2fW\nNRqqm1dH7+/G14o19FVPry7XzbNO0fS6eZKWAZMjYoWkHuDWiJgoaW4evzIvtxw4BPhgXv7E3L7B\ncr225YIq1rGK180j1bybncdnA/9RaZ+ZN3oAsCqfDt4MHC5pRL4ZcXhuM+saA62b903gaknHAY8D\n0wAi4iZJH5b0MPAKcGxuXynpa8BdpEPK2flGhFnXcN08s83gunlmLeAwmRXiMJkV4jCZFeIwmRXi\nMJkV4jCZFeIwmRXiMJkV4jCZFeIwmRXiMJkV4jCZFeIwmRXiMJkV0lCYJJ0i6T5J90q6TNIwSeMl\n3ZHr410uaYu87DBJV+SaerdL2rHMLph1hgGHSdIfAX8N7JtrQ2wBHAOcA5yXa+qtAo7PDzkeeCHX\n1Ps2cG4jHTfrNI2e5g0Fhuejz9bA06TiKdfm+fOBo/J4tdbeNcBhDW7brKMMOEwR8TRwHqkGxFPA\ni8BiUhGVtXmxWt08qNTOi4g1wCpJowa6fbNOM+C6eZLeSjrajCMF6Wpgap1Fa4UW+qqp9waum2ed\nonjdvLoPlI4GPhQRn8nTnwYOBI4GeiJibS73NScipkr6WR6/U9JQ4JmIGF1nvS6oYh2rWQVVHgcO\nkLSV0rP7MOB+4FZy6S9gFhvW1JuVx6eRCv6bdY2GSn1JmgNMB1YDdwN/BYwFrgBG5rYZEbFa0luA\nfwfeAzwPTI+IR+us00cm61gbOzK5bp7ZZnDdPLMWcJjMCnGYzApxmMwKcZjMCnGYzApxmMwKcZjM\nCnGYzApxmMwKcZjMCnGYzApxmMwKcZjMCnGYzApptG7eCElXS1om6X5J+0saKWlBrpt3s6QRleUv\nyHXzlkia1Hj3zTpHo0em7wA3RcREYB9gOXA6cEuum7cQOANA0lRgQq6bdwIwt8Ftm3WURgqqbAcs\niYgJvdqXA4dExApJPcCtETFR0tw8fmVebhkwOSJW9Hq8v2lrHatZ37TdCXhO0sWSFkv6gaRtgDG1\ngETEs0CtAtG6unnZU6yvqWc26A24bl5+7L7AFyLiLknnk07x+nq5r5dm182zjtaqunljgNsjYqc8\n/QFSmCaQT982cZq37nSw13p9mmcdqymneTkET0jaNTfV6ubdAMzObbPZsG7ezNyhA0hllDcIktlg\n1mjdvH2AfwW2BP4bOJZUzP8q4F2kQpXTImJVXv5CYArwCnBsRCyus04fmaxjuW5e/bU4TLbZXDfP\nrAUcJrNCHCazQhwms0IcJrNCHCazQhwms0IcJrNCHCazQhwms0IcJrNCHCazQhwms0IcJrNCHCaz\nQhoOk6QhuaDKDXl6vKQ7ct28yyVtkduHSboi1827XdKOjW7brJOUODKdDDxQmT4HOC/XzVsFHJ/b\njwdeyHXzvg2cW2DbZh2j0YquY4EPk766XnMocG0enw8clcePzNMA15BqRph1jUaPTOcDXyR/h1zS\n24CVEbE2z3+S9bXx1tXNi4g1wCpJoxrcvlnHGHDdPEkfAVZExBJJk2vNvLE+XlTmbbAKXDfPOlyr\n6uZ9HZgBvA5sDWwHXA8cAfRExNpc0mtOREyV9LM8fqekocAzETG6znpdUMU6VrPq5p0ZETvmIpTT\ngYURMQO4FZiWF5vFhnXzZuXxaaSi/mZdoxnvM50OnCrpQWAUMC+3zwN2kPQQ8Ld5ObOu4bp5ZpvB\ndfPMWsBhMivEYTIrxGEyK8RhMivEYTIrxGEyK8RhMivEYTIrxGEyK8RhMivEYTIrxGEyK8RhMivE\nYTIrZMBhkjRW0kJJD0haKulvcvtISQty3bybJY2oPOaCXDdviaRJJXbArFM0cmR6HTg1IvYADgS+\nIGl30jdob8l18xYCZwBImgpMyHXzTgDmNtRzsw7TSA2IZyNiSR5/GVgGjGXD+njz8zT530vz8ncC\nIySNGej2zTpNkWsmSeOBScAdwJiIWAEpcECtAtG6unnZU6yvqWc26A24bl6NpG1JFVpPjoiXJfVV\nWKHe9+ZdN886Wkvq5gHkovw/Bf4zIr6T25YBkyNihaQe4NaImChpbh6/Mi+3HDikdhSrrNMFVaxj\nNbOgyr8BD9SClN0AzM7js9mwbt7M3KEDgFW9g2Q2mDVS0fVg4DZgKekwEcCZwG+Bq4B3AY8D0yJi\nVX7MhcAU4BXg2IhYXGe9PjJZx9rYkcl188w2g+vmmbWAw2RWiMNkVojDZFaIw2RWiMNkVojDZFaI\nw2RWiMNkVojDZFaIw2RWiMNkVojDZFaIwzRAPT3jkdTQ0NMzvt27YQX5KxgDfXQH9MFar6O+giFp\niqTlkh6U9KXmbGVRc1a72Ra1uwP9rl/QbJ3Qj2b3oaVhkjQEuBD4ELAncEyutVfYovKrHJBF7e5A\nRzyJoTP60VVhAvYDHoqIxyJiNXAF6+vq2QBs6trt7LPP9rVbi7Q6TL1r5z2Ja+c1ZMWKx1hfgqPe\nMGcT8yOvY+D6czNmU6EuEehGX1ga7UNLb0BIOho4IiI+m6dnAO+PiJMry/iK3DpaXzcgGi5CuZme\nBHasTI8Fnq4u0FdHzTpdq0/zfgfsLGmcpGHAdFI9PbNBr6VHpohYI+kkYAEpyPMiYlkr+2DWLB33\npq3ZYNWVHyeSdLCk77W7H/bm0uobEE2Tf4nwU8AngEeA69rbI3uzGdRhkrQr6SbGMcDzwJWkU9cP\ntrFPBwDfBSYCw4ChwCsRsX0Ltr3vxubXq+3eTJKOj4h5lemhwD9ExNkt7sc+wJ/kyV9FxD3N2M6g\nDhOwHPgV8NGIeBhA0int7RIXkgJ+NfA+0i9/7NqibZ+X/90qb/se0u9i7Q3cRfq51FY6TNLHgeOB\ntwEXA79sZQcknQx8hvVnKj+S9IOI+G7xjUXEoB2AvyAdjZ4AfggcBjzS5j7dlf+9t9J2d4v7cB2w\nV2X6j4Fr2vT3+CTwHOkXUQ5uw/bvBYZXpodX/29KDoP9BsSNEfFJYHfSp0pPAcZI+r6kI9rUp1fz\ne2hLJJ2bj5St/jvvFhFLaxMRcR/ptLOlJO0CnAxcCzwKfFrSNq3uBrCmMr2G+r9i2fiGcloHJUmL\nI2LfXm2jgGnAJyPi0Db0aRywgnS9dAowArgo8mloi/pwOek3sH5E+gDeDGDbiDimVX3I/VgOfCEi\nfqH0BbBTgeMiYs8W9uFUYBbwk9x0FHBJRHy7+LYGeZjujoj3tLsfAJJ2jIjH290PAElbAZ9j/UX3\nbcD3I+K1Fvdj+4h4qVfbLhHxUIv7sS/wAdIR6baIuLsp2xnkYXoS+FZf8yOiz3lN6Mu6o6SkayPi\n463adqUPRwJjI+J7efq3wNtJR6fTIuKaFvXjtIg4N49Pi4irK/O+HhFntqAPWwEnAjuTft1yXkS8\n3sxtDvZrpqHAtsB2fQytVD0P36nF2645jQ0/6zgMeC8wmXSkapXplfEzes2b0qI+zCfd0VwKTAX+\nudkbHOy3xp+JiK+2uxNZ9DHeSsMiovp9sV9HxAvAC5KGt7Af6mO83nSz7BERewFImkf6reWmGuxh\n6qSva+wj6SVSn7bO4+TpiBa8aQuMrE5ExEmVybe3YPvrNt3HeL3pZlm9boMRr6f7H8012K+ZRuVX\nXgMkXQYsiogf9mo/AZjcqrt5ktaQ7iYK2Bp4tTYL2CoitmxhH2rbrfWjaS9ugzpMtiFJo4HrgdeA\n2keH3gu8BTgqIla0q29vBg5TF5J0KKn6E8D9EbGwnf15s3CYzAoZ7LfGzTqGw2RWiMNkVojDZFbI\n/wMkETEHeZ4ewgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb580480198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADWCAYAAABLyrdqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5804286a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADQCAYAAACdk1R3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZJaJw2SWyf8DVnXss+3Pb/4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58281a860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMkAAADWCAYAAAB7RqZLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5827f6c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAADpCAYAAABoQ9h3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb582585da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMYAAADiCAYAAAAVprh9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5827c92b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADpCAYAAAC+5gISAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFOL/AclVP6EhNWiwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5828162b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADyCAYAAADX9/BKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDlsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58287e4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for col in categoricals:\n",
    "    train[col].value_counts().plot(kind='bar', figsize=(3,3), title=col)\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Engineer Features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sale Price"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count      1460.000000\n",
       "mean     180921.195890\n",
       "std       79442.502883\n",
       "min       34900.000000\n",
       "25%      129975.000000\n",
       "50%      163000.000000\n",
       "75%      214000.000000\n",
       "max      755000.000000\n",
       "Name: SalePrice, dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.SalePrice.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Skew: 1.88287575977\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFFqd2VmXCQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5807e2cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print (\"Skew:\", train.SalePrice.skew())\n",
    "plt.hist(train.SalePrice)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Skewness is a measure of the shape of the distribution of values. +ve due to the long tail on the right."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# train.SalePrice = np.log(train.SalePrice)\n",
    "# # test.SalePrice = np.log(test.SalePrice)\n",
    "# print (\"Skew:\", train.SalePrice.skew())\n",
    "# plt.hist(train.SalePrice)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Deal with nulls\n",
    "Get rid of cols with > 1/3 nulls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New shape of the training set is: (1460,77)\n",
      "The removed columns are:\n",
      "Alley Dropped because it has 1369 missing values\n",
      "PoolQC Dropped because it has 1453 missing values\n",
      "Fence Dropped because it has 1179 missing values\n",
      "MiscFeature Dropped because it has 1406 missing values\n"
     ]
    }
   ],
   "source": [
    "null_values_per_col = np.sum(train.drop([\"Id\",\"SalePrice\"], axis=1).isnull(), axis=0)\n",
    "\n",
    "max_na = int(2*train.shape[0]/3.0)\n",
    "cols_to_remove = []\n",
    "\n",
    "for col in train.drop([\"Id\",\"SalePrice\"],axis=1).columns.tolist():\n",
    "    if null_values_per_col[col] > max_na: \n",
    "        cols_to_remove.append(col)\n",
    "        train.drop(col, axis=1, inplace=True)\n",
    "        test.drop(col, axis=1, inplace=True)\n",
    "        \n",
    "print(\"New shape of the training set is: (%d,%d)\" %train.shape)        \n",
    "print(\"The removed columns are:\")\n",
    "for column in cols_to_remove:\n",
    "    print(column, \"Dropped because it has %d missing values\" %null_values_per_col[column])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of missing values in test set after second round of imputation  0\n"
     ]
    }
   ],
   "source": [
    "#Impute the rest of the null values\n",
    "null_test = np.sum(test.isnull(), axis=0) \n",
    "for col, null_vals in null_test.iteritems():\n",
    "    if null_vals != 0:        \n",
    "        if (test[col].dtype == 'float64' ) or  (test[col].dtype == 'int64'):\n",
    "            test[col].fillna(value = np.nanmedian(test[col]), inplace = True)\n",
    "            train[col].fillna(value = np.nanmedian(test[col]), inplace = True)\n",
    "        else:\n",
    "            test[col].fillna(value = test[col].value_counts().argmax(), inplace = True)\n",
    "            train[col].fillna(value = test[col].value_counts().argmax(), inplace = True)\n",
    "        \n",
    "print(\"Number of missing values in test set after second round of imputation \" ,\n",
    "      np.sum( np.sum(test.isnull(), axis= 0)) )   \n",
    "\n",
    "del null_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train data shape: (1460, 77)\n",
      "Test data shape: (1459, 76)\n"
     ]
    }
   ],
   "source": [
    "print (\"Train data shape:\", train.shape)\n",
    "print (\"Test data shape:\", test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# UnSkew all fields\n",
    "# numeric_features = train.select_dtypes(include=[np.number]) \n",
    "\n",
    "# from scipy.stats import skew\n",
    "# skewed_feats = numeric_features.apply(lambda x: skew(x.dropna())) #compute skewness\n",
    "# skewed_feats = skewed_feats[skewed_feats > 0.75]\n",
    "# skewed_feats = skewed_feats.index\n",
    "\n",
    "# train[skewed_feats] = np.log1p(train[skewed_feats])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Impute the ordered categorical features\n",
    "# from - https://www.kaggle.com/juliencs/a-study-on-regression-applied-to-the-ames-dataset\n",
    "my_replace = {\"Alley\" : {\"Grvl\" : 1, \"Pave\" : 2},\n",
    "                       \"BsmtCond\" : {\"No\" : 0, \"Po\" : 1, \"Fa\" : 2, \"TA\" : 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"BsmtExposure\" : {\"No\" : 0, \"Mn\" : 1, \"Av\": 2, \"Gd\" : 3},\n",
    "                       \"BsmtFinType1\" : {\"No\" : 0, \"Unf\" : 1, \"LwQ\": 2, \"Rec\" : 3, \"BLQ\" : 4, \n",
    "                                         \"ALQ\" : 5, \"GLQ\" : 6},\n",
    "                       \"BsmtFinType2\" : {\"No\" : 0, \"Unf\" : 1, \"LwQ\": 2, \"Rec\" : 3, \"BLQ\" : 4, \n",
    "                                         \"ALQ\" : 5, \"GLQ\" : 6},\n",
    "                       \"BsmtQual\" : {\"No\" : 0, \"Po\" : 1, \"Fa\" : 2, \"TA\": 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"ExterCond\" : {\"Po\" : 1, \"Fa\" : 2, \"TA\": 3, \"Gd\": 4, \"Ex\" : 5},\n",
    "                       \"ExterQual\" : {\"Po\" : 1, \"Fa\" : 2, \"TA\": 3, \"Gd\": 4, \"Ex\" : 5},\n",
    "                       \"FireplaceQu\" : {\"No\" : 0, \"Po\" : 1, \"Fa\" : 2, \"TA\" : 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"Functional\" : {\"Sal\" : 1, \"Sev\" : 2, \"Maj2\" : 3, \"Maj1\" : 4, \"Mod\": 5, \n",
    "                                       \"Min2\" : 6, \"Min1\" : 7, \"Typ\" : 8},\n",
    "                       \"GarageCond\" : {\"No\" : 0, \"Po\" : 1, \"Fa\" : 2, \"TA\" : 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"GarageQual\" : {\"No\" : 0, \"Po\" : 1, \"Fa\" : 2, \"TA\" : 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"HeatingQC\" : {\"Po\" : 1, \"Fa\" : 2, \"TA\" : 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"KitchenQual\" : {\"Po\" : 1, \"Fa\" : 2, \"TA\" : 3, \"Gd\" : 4, \"Ex\" : 5},\n",
    "                       \"LandSlope\" : {\"Sev\" : 1, \"Mod\" : 2, \"Gtl\" : 3},\n",
    "                       \"LotShape\" : {\"IR3\" : 1, \"IR2\" : 2, \"IR1\" : 3, \"Reg\" : 4},\n",
    "                       \"PavedDrive\" : {\"N\" : 0, \"P\" : 1, \"Y\" : 2},\n",
    "                       \"PoolQC\" : {\"No\" : 0, \"Fa\" : 1, \"TA\" : 2, \"Gd\" : 3, \"Ex\" : 4},\n",
    "                       \"Street\" : {\"Grvl\" : 1, \"Pave\" : 2},\n",
    "                       \"Utilities\" : {\"ELO\" : 1, \"NoSeWa\" : 2, \"NoSewr\" : 3, \"AllPub\" : 4}}\n",
    "train = train.replace(my_replace)\n",
    "test = test.replace(my_replace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dimensionality Reduction\n",
    "TODO"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field Garage Area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaoAAAEPCAYAAAATXoCrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1ZyozMysq/0FVklJYY+WyyYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5811ce748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=train['GarageArea'], y=train['SalePrice'])\n",
    "plt.ylabel('Sale Price')\n",
    "plt.xlabel('Garage Area')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train = train[train['GarageArea'] < 1200]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Basement SqFt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# plt.scatter(x=train['GrLivArea'], y=train['SalePrice'])\n",
    "# plt.ylabel('Sale Price')\n",
    "# plt.xlabel('GrLivArea')\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# train = train[train['GrLivArea'] < 4000]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: Sale Condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAADyCAYAAADX9/BKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAF7xJREFUeJzt3Xm0HGWZx/Hvj7ApkJAgJGBIUBQNyCKIwoiSgChBRYZF\nQZEQEPG4oYzOAB4N6DkoKgqIDi4IuEAQWQQPS0CSEZVFlgwIQWBAICxRhICgKEme+eN9O+l7031v\ncvutSvfl9znnnttd1V1PddLPfd96662nFBGYWedWW9U7YDZcOJnMCnEymRXiZDIrxMlkVoiTyawQ\nJ9MqIukBSbut6v3oT9JZkr6YH+8iad4Ar91U0jOSVN8edi8nU4fyF+63khZKekLSdZJ2KBxjDUnH\nS7pH0t8k3S/pB5ImlIzTX0T8JiImNe1Hnz8AEfFwRIwMn6wEnEwdkbQecBlwKjAaeDlwAvDPwqEu\nBN4FHAiMArYFbgF2LxzHOhER/hniD7AD8GSbda8EfgU8AfwZ+Akwsmn9A8Bu+bGAY4D7gL8AM4H1\n87q3Ac8BmwywHxsDvwD+CtwDfKhp3QzgfOAc4BngDmD7pvWvJyXm0znuecAX87pdgYfz4x8Bi/O+\nPAN8BpgILAFW63Q/hsOPW6bO3AMslnS2pD0lrd+0TsCJwDhgEjAeOL7Ndo4C9gbeAmwCPAV8O6/b\nHbgpIh4dYD9mAg/lWAcAJ0qa0rT+3cC5pFbtssa2Ja0BXEz6go8BLgD267ftAIiIQ3KMd0Xq2n29\neX0n+zFsrOps7vUf4DXAD0lfon+R/jJv2OJ17wFuaXre3DLdBUxpWrdx3tZqwPeAcweIPx54AXhp\n07ITgR/mxzOAWU3rJgHP5cdvBeb3295v6dsyPdRqn/PziaTWajVg06Hux3D5ccvUoYj4Y0QcFhET\ngNeRWpZTJG0oaaak+ZIWkrp5L2uzmYnAxZKelPQkKbleAMaSukwbD7ALm5C6mn9vWvYg6fit4fGm\nx38H1pa0Wt7uI/229+BAn3cAG3ewH8PCsPkg3SAi7gHOBrYGvkz6q/26iFgfOJjU9WvlIWBqRIzJ\nP6MjYp2IeAy4BnijpE3avPdRYIykdZqWTWD5JGnlMfp+2RvvbWegUbtO9mNYcDJ1QNJrJB0t6eX5\n+abAQcD1wLrAs8Azef1nB9jUd0nHFxPydjaUtDdARPwKuJrUcm0vaYSkdSUdKenQiJgP/A74sqS1\nJG0DHE5qCdvuev59PbBI0ifydvcF3jjA+x4nDawst60O92NYcDJ15m/Am4AbJf2N9GW6HfgP4Iuk\n0b6FpIPtC/u9t/mv/KmkY61Zkp7O22n+Uu8PXE4aDVtIGgnbgdRqQUrgV5BahwuBz0fEtQPsd2NQ\n4QVgX2A68CRp0KD/fjb7CvD53B09usXnGNJ+DBfKB4PtXyCdSTrHsSAitsnLvkoamfkn8H/A9Ih4\nJq87FjgMWAQcFRGz8vI9gVNICXxmRJxUyScyW0VWpGU6C3hHv2WzgK0iYjvgXuBYAElbAu8ljdRM\nBb6jZDXg9LydrYCDJL22zEcw6w6DJlNE/IZ03qN52TURsSQ/vYE0PAvpXMnMiFgUEX8iJdob88+9\nEfFg7lrMJA0Vmw0bJY6ZDiP15yGNDD3ctO6RvKz/8vksP4pk1tNW7+TNkj4HvBAR5zUWtXhZ0Dpp\nWx6sSRpWB6U2/EREy1HIIbdMkqYBewHvb1o8n3QmvGE8aWRnPn3PXzSWt9vZlj9jx04c0r6OHTux\n+NnuGTNm1Hp23fG6I95AVjSZRFOrk0fm/hPYOyKaZ0hfChwoaU1JrwBeBdwE/B54laSJktYkzX6+\ndIWzIVuw4EFSg9bqZ0bbdel9ZtUatJsn6VxgMrCBpIdI39rjgDWBq/N1YTdExEcj4i5JP2PZdJiP\nRkrnxZI+ThoFbAyNt73ozKwXDZpMEfH+FovPGuD1XyZNpem//ErSpNCKTK5u062iTXY8x+tr0JO2\ndZMU7fYptYJD2V8N2t81WxGSiNIDEGbWl5PJrBAnk1khTiazQpxMZoU4mcwKcTKZFeJkMivEyWRW\niJPJrBAnk1khTiazQpxMZoU4mcwKcTKZFeJkMivEyWRWiJPJrJBBk0nSmZIWSLq9adloSbMk/VHS\nVZJGNa07TdK9kuZK2q5p+bR8g+M/Sjqk/EcxW7WGWmv8GOCaiHgNcC3Lao1PBTaPiFcDRwJn5OWj\ngS8AO5LuGjGjOQHNhoMh1Ron1Qk/Jz8+h2V1w99DupEwEXEjMErSWFIyzoqIpyNiIank156d775Z\n9xjqMdNGEbEAICIeBzbKy9vVFG9Xg9xs2Oio1ngL/UsgNWpztatB3tLxxx+/9PHkyZNrr6lm1jBn\nzhzmzJmzQq9dobp5kiYCl8Wym53NAyZHxAJJ44DZETFJ0hn58fn5dXeT7tg9Jb/+I3l5n9f1i+W6\neda1StTN61NrnFQn/ND8+FDSLSQbyw/JQXcCFubu4FXAHpJG5cGIPfIys2FjqLXGvwJcIOkw0p3C\nDwCIiMsl7SXpPuA50r1SiYinJH0JuJnUtJyQByLMhg2XRzZbCS6PbFYDJ5NZIU4ms0KcTGaFOJnM\nCnEymRXiZDIrxMlkVoiTyawQJ5NZIU4ms0KcTGaFOJnMCnEymRXiZDIrxMlkVoiTyawQJ5NZIU4m\ns0I6SiZJn5b0B0m3S/qppDUlbSbphlxT/DxJq+fXrilpZq5Dfr2kCWU+gll3GHIySdoE+ASwfa6n\ntzpwEHAScHKuQ74QODy/5XDgyVyH/BTgq53suFm36bSbNwJYJ7c+LwEeJRWcvDCvPwfYJz9urk/+\nc2D3DmObdZUhJ1NEPAqcTKqb9wjwNHArqfDkkvyyRq1xaKo3HhGLgYWSxgw1vlm3GXKtcUnrk1qb\niaREugCY2uKljYJ17eqQL8e1xq1bFK813vKN0v7AOyLiiPz8g8DOwP7AuIhYkkskz4iIqZKuzI9v\nlDQCeCwiNmqxXRehtK5VVRHKh4CdJK2t9C3fHbgTmE0ulwxMo28d8mn58QGkm6SZDRsdlUeWNAM4\nEHgBuA34EDAemAmMzssOjogXJK0F/Bh4PfBX4MCI+FOLbbplsq41UMvkWuNmK8G1xs1q4GQyK8TJ\nZFaIk8msECeTWSFOJrNCnExmhTiZzApxMpkV4mQyK8TJZFaIk8msECeTWSFOJrNCnExmhTiZzApx\nMpkV4mQyK8TJZFZIp7XGR0m6QNI8SXdKepOk0ZJm5VrjV0ka1fT603Kt8bmStut89826R6ct06nA\n5RExCdgWuBs4Brgm1xq/FjgWQNJUYPNca/xI4IwOY5t1lU6KUK4HzI2IzfstvxvYNSIWSBoHzI6I\nSZLOyI/Pz6+bB0yOiAX93u/qRNa1qqpO9ErgCUlnSbpV0vckvRQY20iQiHgcaFRtXVprPHuEZXXI\nzXrekGuN5/duD3wsIm6W9E1SF69dE9Aqm11r3LpaXbXGxwLXR8Qr8/NdSMm0Obn7Nkg3b2l3sN92\n3c2zrlVJNy8nwcOStsiLGrXGLwUOzcsOpW+t8UPyDu1EuvVMn0Qy62Wd1hrfFvgBsAZwPzCddAO0\nnwGbkor7HxARC/PrTwf2BJ4DpkfErS226ZbJupZrjTuZrBDXGjergZPJrBAnk1khTiazQpxMZoU4\nmcwKcTKZFeJkMivEyWRWiJPJrBAnk1khTiazQpxMZoU4mcwKcTKZFeJkMivEyWRWiJPJrBAnk1kh\nHSeTpNVyEcpL8/PNJN2Qa42fJ2n1vHxNSTNzrfHrJU3oNLZZNynRMh0F3NX0/CTg5FxrfCFweF5+\nOPBkrjV+CvDVArHNukand8EYD+xFKvfVsBtwYX58DrBPfvye/Bzg56Q6e2bDRqct0zeBz5Lrb0na\nAHgqIpbk9fNZVk98aa3xiFgMLJQ0psP4Zl1jyLXGJb0TWBARcyVNbixm+Zri0bSuzyZwrXHrcnXV\nGj8ROBhYBLwEWA+4BHg7MC4iluQyyDMiYqqkK/PjGyWNAB6LiI1abNdFKK1rVVVr/LiImJAL9x8I\nXBsRBwOzgQPyy6bRt9b4tPz4ANKN0MyGjSrOMx0DHC3pHmAMcGZefibwMkn3Ap/KrzMbNlxr3Gwl\nuNa4WQ2cTGaFOJnMCnEymRXiZDIrxMlkVoiTyawQJ5NZIU4ms0KcTGaFOJnMCnEymRXiZDIrxMlk\nVoiTyawQJ5NZIU4ms0KcTGaFOJnMChlyMkkaL+laSXdJukPSJ/Py0ZJm5VrjV0ka1fSe03Kt8bmS\ntivxAcy6RSct0yLg6IjYEtgZ+Jik15KqDl2Ta41fCxwLIGkqsHmuNX4kcEZHe27WZTqpm/d4RMzN\nj58F5gHj6VtT/Jz8nPz7R/n1NwKjJI0danyzblPkmEnSZsB2wA3A2IhYACnhgEbV1qW1xrNHWFaH\n3KznDbnWeIOkdUl3tTgqIp6V1K5AXataY641bl2tllrjAPlGZr8EroiIU/OyecDkiFggaRwwOyIm\nSTojPz4/v+5uYNdGK9a0TRehtK5VZRHKHwJ3NRIpuxQ4ND8+lL61xg/JO7QTsLB/Ipn1sk7ugvFm\n4NfAHaTmIoDjgJuAnwGbAg8BB0TEwvye04E9geeA6RFxa4vtumWyrjVQy+Ra42YrwbXGzWrgZDIr\nxMlkVoiTyawQJ5NZIU4ms0KcTAMYN24zJK30z7hxm63qXbdVwOeZBt6XWuNZ9/N5JrMaOJm6iLuV\nvc3dvIH3ZVjHs5Xnbp5ZDZxMZoU4mcwKcTKZFeJkMivEyWRWiJPJrBAnk1khtSeTpD0l3S3pHkn/\nVW7Lc8ptyvFWuFac4y1TazJJWg04HXgHsBVwUK5PXsCcMpt5EcUbaPrSlClTap2+5GRaeW8E7o2I\nByPiBWAmy2qRW80WLHiQZVXa+v/MaLsuvW/lDZS8J5xwQs/PPaw7mfrXG5+P642/aAz35K11oquk\n/YG3R8SH8/ODgR0j4qim13jGpnW1dhNdOy7cv5LmAxOano8HHm1+QbsdNet2dXfzfg+8StJESWsC\nB5JqkJv1vFpbpohYLOnjwCxSIp8ZEfPq3AezqnTdxYFmvcozIMwKcTKZFVL3aF4RkvYdaH1EXFQ4\n3phB4j1ZMNb2g8Ra7p5WBWNfSLqB3RURsaSqOE3xXgdsCazdWBYRPyoc41sMUFgjIj5ZKlZPJhPw\n7gHWBVA0mYBb8nbb3Zf3lQVjnTzAugB2Kxirv/8GpgOnSboAODsi7q4ikKQZwGRSMl0OTAV+AxRN\nJuDm/PvNOdb5+fkBwF0lA3kAwpYjaRRwEPA50oyV7wM/yVPASsW4A9gWuC0itpU0NsfYo1SMfvFu\nAHaJiEX5+RrAdRGxU6kYvdoyLSXpnaRJs81dhS9WGG808Op+8X5dQZwRwDuBzWj6f4qIb5SO1S/u\nBsDBwAeB24CfArsA00gtSSn/iIglkhZJGgn8mXTr1qqMBkYCjS75unlZMT2dTPkO7i8FpgA/APYn\n3VO3qngfAo4izdyYC+wEXE81Xa/LgOdJ9wyu/PgFQNJFwGuBHwPvjojH8qrzJd3c/p1DcrOk9Umt\n3i3As6R/y6p8BbhN0uz8fFfg+JIBerqbJ+n2iNim6fe6pIPnt1QU7w5gR+CGiNguXz5yYkQMOCAy\nxFi3R8Q2pbc7SMzdIuLaOmPmuJsBIyPi9orjjAPelJ/eGBGPl9x+T7dMwD/y779L2gT4K7BxhfGe\nj4jn8+zitSLibkmvqSjWFZLeHhGzKtr+Us2jo61GSkuPjuY4/w5cGxFPR8SfJK0vaZ+IuKR0rCYj\ngL+QvvdbSNqiZBe915Ppl7mr8DXgVtJo1w8qjDc/x7sEuFrSU8DQrg8Y3A3AxfmCyhdII4kRESMr\niFX36CjAjIi4eGmQiIV5hK+SZJJ0EvA+4E6WdZsDKJZMPd3NayZpLWDtiHi6pni7AqOAKyPiXxVs\n/wHShZN3tC2+3sNadWMl3RERW1cU74/ANhHxzyq2Dz3eMrUa8cqF1YuOeEkaGRHP9Dt5e0f+vS7L\nRohKehj4Qx2JJOngiPiJpKNbra9oBPFmSd8Avk1qIT5BGoioyv3AGoCTqY26RrzOBd5F35O3zb9L\nnrRtuB+YI+kKmr4AFX2x18m/16tg2+18Avg86SSqSFcSfKzCeH8H5kr6FX3/PYvNgOjpbt6qGPGq\nSz5+WE5EnFD3vlQpn2NaEhHPVhxnWqvlEXFOqRi93jLVNuIFIOlXEbH7YMsKxBkBrBcRnym53RWI\n+wpSi7EZfU8U711BrK1JU4fG5OdPANMi4g+lY0HZpGmn15OplhEvSWuTTg6/LM+AaMzRGwlsUjIW\nLL2I8s2lt7sCLgHOJHWfqz5R/F3g6IiYDSBpMvA94N+qCCbp1cCXWX5ibbEueq8n0zeAnal+xOtI\n4FOkxLmFZcn0DOkAugpzJV0KXAA811hYxTmfJs9HxGkVbr/ZOo1EAoiIOZLWGegNHTqLVALpm6QZ\nM9MpfAlSrx8z/RqYXNPlAiOA4yLiS1XHyvHOarE4IuKwCmO+nzTvcBZ9D9KLX/Yh6WLSucEf50UH\nA2+IiH1Kx8rxbomIHZqH3xvLSsXo9ZapthGv3PXaF6glmSJieh1x+tmaNMF1N/qe2Kxi7uFhwAmk\nE8IinTyt8jM/nw8H7s11SB4hndYoptdbplpHvCR9nTQZ86Kqz/9IGg98i3QdTpCu9TkqIuZXGPM+\nYMsqTkKvapJ2BOYB65P+II4EvhoRNxaL0avJlLtdJ9U54iXpb6RzMotI57cqm+Ij6WrS+a3mbtAH\nqrreJ8e8BPhwRPy5whiXMfCVr8VHDgfYl6+X/P70bDIBSLo+InZe1ftRBUlzI2K7wZYVjjkH2IZU\n37C521zsC56nYbUVEf9TKtYK7MtDETFh8FeumF4/Zqp9xKuuiwOBJ3L56PPy84NIs+Kr1LLbXFKd\nybICilYP7vWWqdYRr3YXB0ZE8QN0SRNIt9/ZmdQt+h3pmKmqWeq1yNeEtfrSiTQTYtvC8doVwxHw\nvxExvlisXk6mutV5ceCqIGkn0qDHJGBN0vU/z5U8JpQ0sdVi0h+o4yJir1KxcrwHaF8Mh4h4RalY\nPd3NWwUjXrVdHChpQ+AIlp/aU9l5JlJLeCCp2/wG4BBgi5IBmltWSdsB7wfeCzwAXFgyVo5XLFkG\n09PJRDqrfS6pbBOkEa+zgKpGvOq8OPAXwHXANcDiimIsJyLukzQiIhYDZ0m6DTi21PYlbUFK2MYx\n4PmkHtKUUjH6xXtt/qPXqh5hAE+W6jr3dDdvVYx4NcWp+uLAWj5Hv5i/Bt5Gulr5ceAx4NCSxzGS\nlpD+SBweEfflZfeXnCPXL973I+KIpkIq/W1AOnb6YKexer1lqmXEK090/QjwKtK1U2fWMCr1S0l7\nRcTlFcdp9kHSfLWPA58mld7ar3CM/Ugt02xJV5JuxVrZPbki4oj8u23LJ6nIVQe93jLVMuIl6XzS\nrPTrSJVHH4ymux1WoekE8b9ybKjuBPGEiHio9HYHibkOsA/pD+BuwDnAxaUvp2lVIKZZydMoPZ1M\ndek3OXJ14KaIGLAmeC+RdGvj80i6MCJKt0aDxR9DOu59X+nTDE2nTzYiXd7RKGU2BfhdRLyrVKye\n7OZJ+sIAq6OCmd1LywJHxCKpnjuF5r+qu5Ba3euiujJYzR+okmOXgUS68cF380/pbU+HpV25LSMX\n1pS0MXB2yVg9mUw0zXZosg5wOOmAsnQybSvpmfxYwEvy8yrn5n2HdIzWOB78iKQ9IqKKOgnR5vFw\nsmksq1ALsABodc5ryHq+mydpPdKshMOBnwEnVzlRsy6S7gYmNWan58sH7oyISRXEWkz6AyXgJaTi\nI1Btrb5aSTqdNA3sPNIfjAOBe8O3lFnazz4a+ADp4HX7iHhq1e5VUfeR7kzfGEzZNC8rLiJGVLHd\nbhIRH1eqIvvWvOh6YGzJGD2ZTJK+BuxLqhmwdVRc2aZOTZcorAfMk9S4EcGOpNncNnQPkEZ+K5lx\n0ZPdvHzi75+k64qaP0DPd0vaXKIg0kDEQRGxVc271NPazLj4TEQUPV6CHk2mF4sWc9cuiohvrdq9\n6i11zrjoyW7ecFb33LUXgdpmXLhl6jJ1z117sahjxkXRumFWxH6kSaazJX1f0u5UOHftxSIinouI\nn+YZD42LO48pGcMtU5eqa+6aleNk6gFVzl2zcpxMZoX4mMmsECeTWSFOJrNCnExmhfw/DR0FveZj\n4AMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5811ce390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.SaleCondition.value_counts().plot(kind='bar', figsize=(3,3), title=col);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def encode(x):\n",
    "    return 1 if x == 'Partial' else 0\n",
    "\n",
    "train['enc_condition'] = train.SaleCondition.apply(encode)\n",
    "test['enc_condition'] = test.SaleCondition.apply(encode)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb5808beb70>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEMCAYAAADAqxFbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5827b2080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "condition_pivot = train.pivot_table(index='enc_condition', values='SalePrice', aggfunc=np.median)\n",
    "condition_pivot.plot(kind='bar')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: Neighbourhood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# def encode_neighborhood(x):\n",
    "#     return 1 if (x == 'NoRidge' or x == 'NridgHt' or x == 'StoneBr') else 0\n",
    "\n",
    "# train['enc_neighborhood'] = train.Neighborhood.apply(encode_neighborhood)\n",
    "# test['enc_neighborhood'] = test.Neighborhood.apply(encode_neighborhood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: 1st Floor SqFoot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def encode_1stFlrSf(x):\n",
    "    return np.log(x)\n",
    "\n",
    "train['enc_1stFlrSF'] = train['1stFlrSF'].apply(encode_1stFlrSf)\n",
    "test['enc_1stFlrSF'] = test['1stFlrSF'].apply(encode_1stFlrSf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: MS Zoning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RL         1147\n",
       "RM          218\n",
       "FV           65\n",
       "RH           16\n",
       "C (all)       9\n",
       "Name: MSZoning, dtype: int64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train['MSZoning'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MSZoning\n",
       "C (all)     68400\n",
       "FV         205950\n",
       "RH         136500\n",
       "RL         174000\n",
       "RM         120500\n",
       "Name: SalePrice, dtype: int64"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.pivot_table(index='MSZoning', values='SalePrice', aggfunc=np.median)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_mszoning = pd.get_dummies(train['MSZoning'])\n",
    "train = pd.concat([train, train_mszoning], axis=1)\n",
    "\n",
    "test_mszoning = pd.get_dummies(test['MSZoning'])\n",
    "test = pd.concat([test, test_mszoning], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: Lot Shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train['LotShape'].fillna('Reg')\n",
    "train_lot_shape = pd.get_dummies(train['LotShape'])\n",
    "train = pd.concat([train, train_lot_shape], axis=1)\n",
    "\n",
    "test['LotShape'].fillna('Reg')\n",
    "test_lot_shape = pd.get_dummies(test['LotShape'])\n",
    "test = pd.concat([test, test_lot_shape], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: Neighborhood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEPCAYAAAANl7AYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcHVWd9/HPN+wIRGRJFJQouyhCUBb1kaACAUdBn0Fx\nYxEcVwaXmQGcGRNGZ57BGRSQEWYUMegA4sIIDJCgEBFB1oSwE8AAARK2LCQkIcvv+eP8Ll107u3c\npPt2V7q/79erX1333Ko6p7bzqzp1bpUiAjMzs4E2bKALYGZmBg5IZmZWEw5IZmZWCw5IZmZWCw5I\nZmZWCw5IZmZWCx0NSJI2kHSzpCmS7pI0LtPPl/RIpt8haffKNGdJmi5pqqQ9KulHS3pQ0gOSjqqk\nj5Y0Lb87o5K+uaRJOf5EScM7uaxmZtY7HQ1IEbEEOCAi9gT2AA6RtE9+/TcRsWdEjI6IaQCSDgG2\nj4gdgc8B52b65sA3gXcA+wDjKgHmHOD4iNgJ2EnSwZl+MvDbiNgZuBY4pZPLamZmvdPxJruIeDEH\nNwDWBVbkZzUZ/TDggpzuZmC4pBHAwcCkiJgXEXOBScBYSSOBTSPilpz+AuDwyrwm5PCESrqZmdVQ\nxwOSpGGSpgCzgGsi4tb86tvZLHe6pPUybRvg8crkMzOte/oTlfSZTcYHGBERswEiYhawVR8ulpmZ\n9bH+uEJakU122wJ7S3ozcHJE7EppgtsCOClH737VJCCapLOKdDMzW8us218ZRcR8Sb8HxkbEdzNt\nqaTzga/naDOB11cm2xZ4MtPHdEu/rofxAWZJGhERs7Np7+lm5ZLkAGZmtgYiotlFwRrrdC+7LRud\nDyRtBLwfuD8DBJJEubdzd05yGXBUfrcvMDeb3SYCB0oanh0cDgQmZlPcfEl757yOAn5TmdcxOXx0\nJX0lEdH0b9y4cS2/G+hpBmtedS+f14XXxdpYvk7k1QmdvkJ6LTBB0jBK8Pt5RFwp6XeStqQ0uU0F\nPg+Q3x0q6SFgIXBsps+R9C3gNkqT3KlROjcAfBH4CbAhcGVEXJ3ppwGXSPoM8BhwRIeX1czMeqGj\nASki7gJGN0l/Xw/TfLlF+k8ogad7+u3AW5ukP0+5IjMzs7XAOuPHjx/oMgyoU089dXxP62DUqFGr\nPc/+mmaw5lX38vVnXnUvX3/m5fLVK69TTz2V8ePHn7pGBWlBnWoLXFtIiqG+DszMVpckYm3q1GBm\nZtYuByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sF\nByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQzM6sFByQz67iRI0chaaW/kSNHDXTRrEb8\nxli/Mdas4yQBzY4z4eNv7eQ3xpqZ2aDlgGRmZrXggGRmZrXQ0YAkaQNJN0uaIukuSeMyfZSkP0l6\nQNJFktbN9PUlXSxpuqSbJL2hMq9TMv0+SQdV0sdKul/Sg5JOqqQ3zcPMzOqpowEpIpYAB0TEnsAe\nwCGS9gFOA06PiJ2BucBxOclxwPMRsSNwBvAdAElvBj4K7AocAvxAxTDgbOBgYDfg45J2yXm1ysPM\nzGqo4012EfFiDm4ArEvpanMA8KtMnwAcnsOH5WeAXwLvzeEPARdHxLKImAFMB/bOv+kR8WhELAUu\nznmQ01bz+HDfLpmZmfWljgckScMkTQFmAdcADwNzI2JFjjIT2CaHtwEeB4iI5cA8Sa+ppqcnMq17\n+kxgG0lbAHO65fG6vl42MzPrOx2/r5JBYU9JmwGXUprdVhot/zfr0x49pDcLqI3xu0/T8scO48eP\nf3l4zJgxjBkzptWoZkPayJGjmD370abfjRixHbNmzejfAlm/mTx5MpMnT+5oHv12oz8i5kv6PbAv\n8GpJwzJYbQs8maPNBF4PPClpHWB4RMyR1EhvaEwj4A3d0yPiWUmt8lhJNSCZWWslGDU/t5s9u09/\nI2k10/1k/dRTT+3zPDrdy25LScNzeCPg/cC9wHXAETna0cBvcviy/Ex+f20l/cjshfdGYAfgFuBW\nYAdJ20laHziyMq9rW+RhZmY11NFHB0l6K6VDwbD8+3lE/HMGlYuBzYEpwKciYqmkDYCfAnsCzwFH\nZicGJJ1C6Sm3FDgxIiZl+ljgzJz/eRHxr5neNI8mZfSjg8za1PoRQNDTY4D86KDBpxOPDvKz7ByQ\nzNrmgGQNfpadmZkNWg5IZmZWCw5IZmZWCw5IZmZWCw5IZmZWCw5IZmZWCw5IZmZWCw5IZmZWCw5I\nZmZWCw5IZmZWCw5IZmY1N3LkKCQ1/Rs5ctRAF6/P+Fl2fpadWdv8LLuBsabrvZP8LDszMxu0HJDM\nzKwWHJDMzKwWHJDMzKwWHJDMzKwWHJDMzKwWHJDMzKwWHJDMzKwWHJDMzKwWHJDMzKwWHJDMzKwW\nOhqQJG0r6VpJ90q6S9IJmT5O0kxJd+Tf2Mo0p0iaLuk+SQdV0sdKul/Sg5JOqqSPkvQnSQ9IukjS\nupm+vqSLc143SXpDJ5fVzMx6p9NXSMuAr0XEm4H9gC9L2iW/+25EjM6/qwEk7Qp8FNgVOAT4gYph\nwNnAwcBuwMcr8zkNOD0idgbmAsdl+nHA8xGxI3AG8J0OL6uZmfVCRwNSRMyKiKk5vAC4D9gmv272\nlNjDgIsjYllEzACmA3vn3/SIeDQilgIX57gA7wV+lcMTgMMr85qQw78E3tdXy2VmZn2v3+4hSRoF\n7AHcnElfkjRV0o8kDc+0bYDHK5M9kWnd02cC20jaApgTESuq6d3nFRHLgbmSXtOnC2VmZn1m3f7I\nRNImlKuUEyNigaQfAP8UESHp28DpwPE0v2oKmgfOyPG7T9N4MUj39JYvFBk/fvzLw2PGjGHMmDE9\nLY6Z2ZAzefJkJk+e3NE8Ov6CvuxkcAVwVUSc2eT77YDLI2J3SScDERGn5XdXA+MowWR8RIzN9JfH\nk/QMMCIiVkjaFxgXEYc0po2ImyWtAzwVEVs3yd8v6DNrk1/QNzD8gr6+82Pg3mowkjSy8v1HgLtz\n+DLgyOwh90ZgB+AW4FZgB0nbSVofOBL4TU5zLXBEDh9dSb8sP5PfX9unS2VmZn2qo1dIkt4FXA/c\nRQnvAXwD+ATlftIKYAbwuYiYndOcQukht5TSxDcp08cCZ1KC6HkR8a+Z/kZKJ4fNgSnApyJiqaQN\ngJ8CewLPAUdmR4nuZfQVklmbfIU0MIbKFVLHm+zqzgHJrH0OSANjqASktprsJG0kaee+zNjMzKxq\nlQFJ0geBqUDjx6t7SLqs0wUzM7OhpZ0rpPGUH6bOBcgfuo7qXJHMzGwoaicgLYuIeR0viZmZDWnt\n/DD2bkmfANaRtCPw18CNnS2WmZkNNe1cIZ1AeaDpEuBCYB7wlU4WyszMhh53+3a3b7O2udv3wHC3\n765Mr5H06srnzSVN7MtCmJmZtdNkt2VEzG18iIg5wErPhDMzM+uNdgLSiurbVvNhqL7GNjOrsZEj\nRyGp6d/IkaMGunhNrfIeUj5D7r+A32fSe4C/iohB0Wzne0hm7fM9pIGxJuu90/edBuxZdpK2BPal\nvAbipoh4ti8LMZAckMza54DUeyNHjmL27EdXSh8xYjtmzZrRdJohH5Ak7RIR90sa3ez7iLijLwsy\nUByQzNrngNR7a7IuhkpA6umHsV8D/oryNtfuAnhvXxbEzMyGth6b7CQNA/aLiD/2X5H6l6+QzNrn\nK6Te8xVSaz32souIFcDZfZmhmZlZM+10+/6dpP+rEm7NzGwQa9VdvD+6irfT7fsF4FXAMmAxpadd\nRMRmHS9dP3CTnVn73GTXe3Vvsmu3fP3dqQGAiNi0LzM0MzNrpmWTnaStJZ0h6QpJ/yJpUFwRmZlZ\nPfV0D+kCYCHwfWBT4Kx+KZGZmQ1JPf0wdmpE7FH5fEdENP2R7NrM95DM2ud7SL3ne0it9XQPSZI2\np3RigPLG2Jc/R8TzfVkQMzMb2npqshsO3F752wy4I4dva2fmkraVdK2keyXdJemvM31zSZMkPSBp\noqThlWnOkjRd0lRJ1Su0oyU9mNMcVUkfLWlafndGJb1lHmZmVj8dfWOspJHAyIiYKmkTSjA7DDgW\neC4iviPpJGDziDhZ0iHAlyPiA5L2Ac6MiH3zyuw2YDTlCu12YHREzJN0M3BCRNwi6cqcZqKk05rl\n0aSMbrIza5Ob7HrPTXattfPD2DUWEbMiYmoOLwDuA7alBKUJOdqE/Ez+vyDHvxkYLmkEcDAwKSLm\n5csCJwFjM+BtGhG35PQXAIdX5lXNo5FuZmY11NGAVCVpFLAH8CdgRETMhhK06HoD7TbA45XJZmZa\n9/QnKukzm4xPkzy26rulMTOzvrbKH8b2hWyu+yVwYkQskNT6OnLlz9EknVWkr5bx48e/PDxmzBjG\njBmzurOotVbvX4Ge38HSl3n1dT5m1v+qdWUntPuCvncDO0bE+ZK2AjaJiD+3lYG0LnAFcFVEnJlp\n9wFjImJ2NrtdFxG7Sjo3h3+e490P7A8ckON/PtPPBa6jvMX2uojYNdOPBPaPiC+0yqNJ+Qb9PaRO\nP/W3vbyG3r2Cwcj3kHrP95BaW2WTnaRxwEnAKZm0HvCz1cjjx8C9jWCULgOOyeFjgN9U0o/KfPcF\n5maz20TgQEnDs4PDgcDEbIqbL2nvfPjrUd3m1cjj6Eq6taHVAxb76yGLZjb0tPNw1anAnsAdEbFn\npk2LiN1XOXPpXcD1wF2UkBvAN4BbgEuA1wOPAUdkZwUknQ2MpTwl4tjGm2klHQP8fc7j2xFxQabv\nBfwE2BC4MiJOzPTXtMqjWxl9hTQAZ1e2dvJ+0Xu+QmqtnYB0S0Ts3XhSg6RXATe1E5DWBg5IDkjW\nPu8XveeA1Fo7vewukfSfwKslfRb4LfDDviyEmZlZu50aDgQOovRqmxgR13S6YP2leoXUn73R+lMd\nz65s7eT9ovd8hdRaR5/UsDaoBqT+7I3Wn+q4M9vayftF7zkgtdbyd0gqb4ptXqpB9MZYMzOrh5YB\nKfymWDMz60dtP6lB0taUrtUARMRjHSmRmZkNSe38MPZDkqYDf6Y8GWEGcFWHy2VmHdbqx8/+4bMN\nlHa6fX8L2Bd4MCLeCLyP8oBUswHjJ0n0XulRGiv9teppatZp7QSkpRHxHDBM0rCIuA54e4fLZdaj\nVpWpK1TrLz4p6nvt3EOam0/rvh74b0lPUx7rY2Y2ZHWdFDX7rk97Qw8Z7Tw66FXAIsrV1Ccprzb/\n77xqWuv5d0hr5++QBuu26k/99XuYNc2r7vpzXdTxGO7X3yE1RMTCzHxzYD5w92AJRmZmVh8t7yFJ\nukLSW3L4tcDdwGeACyR9pZ/KZ2ZmQ0RPnRreGBF35/CxwDUR8UFKj7vPdLxkZmY2pPQUkJZWht8H\nXAkQES8AKzpZKDMzG3p6uof0uKQTgJnAaOBqAEkbUd4aa2Zm1md6ukI6DtiN8hrwj1XetrovcH6H\ny2VmZkOMXz/hbt/u9j1Eudt377jb98C8MdbMzKzjHJDMzKwWHJDMzKwWVvmkBklbAZ8FRlXHjwj/\nFsnMzPpMOw9X/Q3wB+C3wPLOFsfMzIaqdprsNo6IkyLikoj4VeOvnZlLOk/SbEnTKmnjJM2UdEf+\nja18d4qk6ZLuk3RQJX2spPslPSjppEr6KEl/kvSApIskrZvp60u6OOd1k6Q3tLU2zMxswLQTkK6Q\ndOgazv984OAm6d+NiNH51/jB7a7AR4FdgUOAH6gYBpyd89kN+LikXXI+pwGnR8TOwFzKb6fI/89H\nxI7AGcB31rD8ZmbWT9oJSCdSgtIiSfMlvSBpfjszj4gbgDlNvmrWd/0w4OKIWBYRM4DpwN75Nz0i\nHo2IpcDFOS7Ae4HG1doE4PDKvCbk8C8pjz4yM7MaW2VAiohNI2JYRGwUEZvl5816me+XJE2V9CNJ\nwzNtG+DxyjhPZFr39JnANpK2AOZExIpqevd5RcRyyksGX9PLMputllZvFPXbRM2aa6dTQ+NdSDsC\nGzbSIuL6NczzB8A/RURI+jZwOnA8za+aguZBM3L87tM0fkbcPb2nnywzfvz4yqfJwJhWo5q1rdUb\nRf02UVtbvbKu7HvtvDH2eEqz3bbAVMqz7G6KiPe2lYG0HXB5ROze03eSTgYiIk7L764GxlGCyfiI\nGJvpL48n6RlgRESskLQvMC4iDmlMGxE3S1oHeCoitm5RPj86yI8O6oi6Py7Hjw7qHT86aGAeHXQi\n8A7g0Yg4ANiT0oGgXa+4kpE0svLdRygv/gO4DDgye8i9EdgBuAW4FdhB0naS1geOpHRFB7gWOCKH\nj66kX5afye+vXY3ympnZAGinyW5xRCzO9u8NIuJ+STu3M3NJF1Lav7aQ9BjliucASXtQ3qk0A/gc\nQETcK+kS4F7Ku5i+mJcuyyV9GZhECaDnRcT9mcXJwMWSvgVMAc7L9POAn0qaDjxHCWJmg9LIkaOy\neXBlI0Zsx6xZM/q3QGZrqJ0mu0spb4z9CqVX2xxgvYhY067gteImOzfZdUrd14Wb7Hqn7ut9bWyy\nW63XT0jaHxgOXB0RL/VlQQaKA5IDUqfUfV04IPVO3df72hiQWjbZSdosIuZ36y59V/7fBHi+Lwti\nZmZDW0+dGi7M/7cDt+X/2yufzayPtfrtkn+/1B6vv7Wb3xjbB012rW4q1+WGch0v93trsDbZ1X1b\neb/ofV6DZb/o7ya70T1NGBF39GVB1mb+AaSZWe/11O379Py/IfB24E7K74l2pzTZ7dfZopmZ9Y+6\nt3IMFS0DUv4IFkm/BkZHxF35+S3A+H4pnZlZP3ArRz2086SGnRvBCCAi7qa8IsLMzKzPtPOkhmmS\nfgT8jHIK8SlgWs+TmJmZrZ52AtKxwBcoz7QDuB44p2MlMjOzIWmVASmfY3cucGVEPNAPZTIzsyFo\nlfeQJH2I8tqJxqvG95B0WacLZmZmQ0s7nRrGUV4jPhcgIqYCozpYJmvBv0I3s8GsnXtIyyJiXvn1\nrg2kVl1Ty3fePma2dmvnCuluSZ8A1pG0o6TvAzd2uFw2hPjKz8ygvYB0ArAbsAS4CJhPeTeSWZ/o\nuvJb+a/Vi+ds8POJytDjh6v2wcNV6/7gyDo+mHGgytef6r4u6v5wVa+L3uU12B6u2mNPuoj4UF8W\nxMzMhraeOjXsBzxOaaa7mfJgVTMzs47oKSCNBA4EPg58Avhf4KKIuKc/CmZmZkNLy04NEbE8Iq6O\niKOBfYGHgMmSTui30pmZ2ZDR4++QJG0AfIBylTQKOAv4deeLZWZmQ01PnRomAG8BrgJOzddOmJmZ\ndURPv0P6NLAT5SnfN0qan38vSJrfzswlnSdptqRplbTNJU2S9ICkiZKGV747S9J0SVMl7VFJP1rS\ngznNUZX00ZKm5XdntJNHXfg3FmZmr9TTPaRhEbFp/m1W+ds0IjZrc/7nAwd3SzsZ+G1E7AxcC5wC\nIOkQYPuI2BH4HHBupm8OfBN4B7APMK4SYM4Bjo+InYCdJB3cUx514h+DDgyfCJjVVztPalhjEXED\nMKdb8mHAhByekJ8b6RfkdDcDwyWNoAS0SRExLyLmApOAsZJGAptGxC05/QXA4S3yaKTbEOcTAbP6\n6mhAamHriJgNEBGzgK0zfRvK754aZmZa9/QnKukzm4wPMKJbHlv18TKYmVkfa+dp3/2l+w9vG8+v\naPaD3J7SV9v48eMrnyYDY9ZkNmZmg9or68q+1/Fn2UnaDrg8InbPz/cBYyJidja7XRcRu+Zbaa+L\niJ/nePcD+wMH5Pifz/RzgeuA3zemzfQjgf0j4gut8mhRvgF5ll09nk3Vn3nVvXw9T7cm1t514ee3\ndap8/ZnX2vgsu/5oshOvvJq5DDgmh48BflNJPwpA0r7A3Gx2mwgcKGl4dnA4EJiYTXHzJe2tsgaP\n6javRh5HV9LNzKymOtpkJ+lCSvvXFpIeo7x99l+BX0j6DPAYcARARFwp6VBJDwELgWMzfY6kbwG3\nUcL2qdm5AeCLwE+ADYErI+LqTD8NuKR7HmZmVl9+/YSb7NbKpg832fVumv4sX3/mVffy9WdebrIz\nMzNbQw5IZmZWCw5IZmZWCw5IZqvgxw2Z9Y86/TDWrJa6HjfU7Du/SNmsr/gKyczMasEByczMasEB\nyczMasEByczMasEByczMasEByczMasEByczMasEByczMasEByczMasEByczMasEByczMasEByczM\nasEByczMasEByczMasEByczMasEByczMasEByczMasEByczMamHAApKkGZLulDRF0i2ZtrmkSZIe\nkDRR0vDK+GdJmi5pqqQ9KulHS3owpzmqkj5a0rT87oz+XTozM1tdA3mFtAIYExF7RsTemXYy8NuI\n2Bm4FjgFQNIhwPYRsSPwOeDcTN8c+CbwDmAfYFwliJ0DHB8ROwE7STq4n5bLzMzWwEAGJDXJ/zBg\nQg5PyM+N9AsAIuJmYLikEcDBwKSImBcRc4FJwFhJI4FNI+KWnP4C4PCOLYmZmfXaQAakACZKulXS\n8Zk2IiJmA0TELGDrTN8GeLwy7cxM657+RCV9ZpPxzcysptYdwLzfGRGzJG0FTJL0ACVINaMmn6NJ\nOqtIb2r8+PGVT5OBMa1GNTMbsl5ZV/Y9RbSsp/uNpHHAAuB4yn2l2dnsdl1E7Crp3Bz+eY5/P7A/\ncECO//lMPxe4Dvh9Y9pMPxLYPyK+0CTvaKwDqRHnmpaSVuuq9XRrMk3r6fq+fP2ZV93L1595Da3y\n9WdedS9ff+bV6fJJIiKanfyvsQFpspO0saRNcvhVwEHAXcBlwDE52jHAb3L4MuCoHH9fYG427U0E\nDpQ0PDs4HAhMzOa++ZL2Vlm7R1XmZWZmNTRQTXYjgEslRZbhvyNikqTbgEskfQZ4DDgCICKulHSo\npIeAhcCxmT5H0reA2ygh/dTs3ADwReAnwIbAlRFxdf8tnpmZra5aNNkNJDfZrZ1NH14Xa0/5+jOv\nupevP/Nyk52ZmdkackAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAy\nM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7NacEAyM7Na\ncEAyM7NacEAyM7NacEAyM7NacEAyM7NaGNQBSdJYSfdLelDSSQNdHjMza23QBiRJw4CzgYOB3YCP\nS9pl9eYyeQ1y7q9pBmteazLNYM1rTaYZrHmtyTT9mdeaTDOY81ozgzYgAXsD0yPi0YhYClwMHLZ6\ns5i8Btn21zSDNa81mWaw5rUm0wzWvNZkmv7Ma02mGcx5rZnBHJC2AR6vfJ6ZaWZmVkODOSCpSVr0\neynMzKwtihicdbSkfYHxETE2P58MRESc1m28wbkCzMw6LCKanfivscEckNYBHgDeBzwF3AJ8PCLu\nG9CCmZlZU+sOdAE6JSKWS/oyMInSNHmeg5GZWX0N2iskMzNby0TEoPgDlgN3AFOB24B9M3074K5O\nTp/TPtF92h7GDWAx8CLwWKvxG3lX/o8ALgIeAp4F5lOaJRcCG+c0NzSZzwjgEeBJ4FbgCmCHFnnu\nAjwPvAC8BCwF/tDD+MuBaTnNYkrPxlfMH9gfuLzy+d3A3bm+N8i0rYH/zmW7FfgjpZv+XsAZOc7R\nwFlZtvOBz+U6vB14GpgBHAWsACbkNIcDdwLLgHnAYZn+X1nWe3Ied+TfR3Lej+TnKd3mdx0wN5d7\nDrA78EHg7/L7w4BdcngF8G+V5f468E3gX4CZmXZnLvcWuQytpjmf8tOFmbn/PA38RY5zS+4Xw4Fn\nM20cMCHn97pKeVbk8BXA31P2nSWt9vWcz8xcF9FtO04Czm+yT+yf6+1u4EFgOvA9YL38blmLfenP\nwFY57QvAM5n3k5R9a1GW4z+AGyvTnUL5iQe5TI/mtr6Dcly+pvLd3ZQm/EVZtleM02x/bVLOxnzu\nzOnf0WYdtdJ0wAJg6/x+ZG6jd1ameRp4Y66TO7Lsje0xBbiBclyMpOybB1aOlacp+/hzwCXAhrkf\nfaQX9Wyvpl/V32DqZbcwIkZHxB7AN4B/rXzXzmVgb6ZfCGzWYlrg5R/qNsZdCnwSeAPloLu4h/Gj\n8v9S4FrgR8BPgHcBx1F2uqUAEfHuJuW7lLIjfzki3kE5gEc0yVPAacAmwNeAAyk/RLiwOr6kYTlu\nY3kWACdFxIYR8foW86+uw08C/5Lre0mm/Q8wOSJ2yDIeCWwbEbdnWVrN66GI2ItSSf0U+CqwBHiL\npLcD3wH+nRI0bwH+XdJbKUFhLnBozmN0/v065/s3ETE650fOb4Mcvo9S6c0A/j0iLo+I7+R3h1N+\niE2W4yOSXtOt/NcDW0nandIb9D3Ax4Hf9DBNw3cplfNiyj7QtVIi5gFP5Q/ALwI+QKm43pmjrACW\nSXpNRPwFMIpyYlNtum+2r38318US4FBJW2b6REoQ6W5Yzvs7EbETsBNln/rnHvJopC+PiD0pJ3a/\nBH6VebyZEtjeDzwMvK0y3b7APEkHU7bnhcC3c9xl8HInp0MpJzGPUI6991THaVKWlVTms0dEvC2n\nf7zJeOu0Md2TlHX1nhztnVS2l6SdgGci4s+5TvYCziG3R0Tsmcf7MZSftFxI2Y8aGicwH6TUDx9b\nVTl7UqmT1khbeXUq0vX3H/BCZfgI4NfRddY3rXLWcCnlzO4R4EuUCucOyhnvq3O8uylXHjdTztgf\nyvTjKWdVdwO/ppwhH0c5UJdTKuYXKJX/fcDldF1lLKZUjgspO/vDme8/5jhXZV7LKFc+iyiV27Rc\nhsdy3m+nHKyPUq7ITqos37Cc18353bU53hxKxfMQ5ezsK5RA83SWe27O/z3ALGBBdJ0pXpbDx+W4\nL+X/xpVQY7mPr6z704GxlKumFbmsCylXWo9n+sO5Tj4F/DzX0cPAFykV9v25vHfm//1zmzySeZ5P\n19XLi7k8XwPem+t3aY73MOVK4RzKmeIUytnzw/n9ImBuZV+5vrKu9gU2yPndSjm4nwdm5zx/R6ks\nZ1BOLC4pWplDAAAQeElEQVTLPGbmOl9A2U9W5PZ4PNf1/nSdvc7OvO7Jsi/M5VmQ484Gzs085lP2\n3Rco230R5epwIaWyVn6eRdlvlgH/S6nAyOX4PaWy/nOui4tzvA9RzrYX5d/38/uZuT2vzuVYBJye\n83ssl3dqLkNjmRfkun0W+Eyu04U5/QJgaU7/V5Rjp5H+InBUfnddLvePKYF6VC7TyZR9MChXNkdk\nGS+lnGQ8ktvoXcBBua7+X5ZnSa7D54CdgdsyryeyDFMyjwXAlbnOG+Psl3l+Frgml+f2XB+7UDpP\nPZf5PE05abwq83w0t/WcXJbHcrr7ct3Pyu33FGU/Wpzl+B1lH5iQ8z0r19ESSh10Ys5nKV110Eu5\nLS7Pbb2Ecgw9QKm7nss8ns5pb6HUF40rrkbdsZiyn0ynHC9XUY7Jl6+QgG8BP87h0ZRj8NYcd0Rl\nO34v8/nqKuvxgQ4kfRiQluVKvS83/J4tAtKDwMbAlrmxP5vfrcid5r7cwBMq07yQwxdV5rVbTnNc\n5h25weYA52Xal3InuRz4BLAZ5YBYQTlwGmVdSrl8P5Cyo98A7JA70jRgTO5oEygHxFmUiurG/P9w\nlumzwOIc/mjuSN+kHNhzKM1RW+eOeFTusMtzB3oU+DRwL+WsDF4ZkK7KZfwLyuOYllMqicYBuCjL\ne3zufI8BN+X3k3Lb/DPwg/x8ImXnn5jr4fncVo8C22beCygH12X5eRGlgppPObBfoDRlvi3X4d8C\nf53l3COX+V7KwXtCbpODKAf+X+e6fQvl4NuI0qSxPuWg+yLl4Do8p/sj8Itc58uBf8j5zst8z8rt\n8yfgLykBb37m9RKlwjon82ws2wLg9ZTKYgnlSqWR19zcRjNyPhdRml3m5OdPU/aj4bm+H6TsZ7fQ\n1Rw4M9f3HyjBNYBD6Aqi84B/yvX6SG6TaZQKa0rO40ZKhb0xZd98Kaf/EGXfu4gStJdRTpQ+ktPP\nznVyLiXYfpJSua3IbbVLjnN/5jMpy1cNSM9k3o1KeG4u53GUY+0JylXgJOC3lMC5IOdzDuUK8hng\nTZnvQ7nMS3I9PkfZl5+lVMYfp1w5zcnteF6up00ozapPUq5GFlD2mf+gHKvTKPv77ZnHhNym2+e6\n+pdcnsYJ4AzKVcvsnOedwH9mno/lcv4fSqBaQakbVlD24YcogeoblPpkaa7343K6BcCHKcfTkpxH\noxVDlH17UZb7oBzekFJ33EQ5QVw/1+ExlH11CXBabpfzgf9LaUk5J9PWpeyzW1TqnvMq2/Hsduvx\nwdRk92KUy9hdKQfdT1uMd11EvBgRz1I24BWZvgT4RU4/jXKfA0qFt34O70Q5qIiIeygVA3Sdsb1I\n2ek+RdkB7s20rSmX64ty/GWUJqFdKTvPupSd/5zM6+2Uym+HnPaHdF3lHERXpTqSUpGOkrRzpq8n\naQrlOX5LcvoXKQffdylBaEPKwbs9Xc0Vk4EdW6wzKGeUiyPiioiYmOX5Al0/QF5MCe4/Al5DCSyb\nUSrmqZR7JH+gHAgjKU0w5wJvzfW0OCIepezYN1EqmY2A11XK8EiuV3IeN1J+W3Yn5cDbmnKVAeVA\nGE5pOpya5ZxDqQQ2y7LvSLlCGEapiNannNkeRjmr2wv4GaUy+CElAG+e6+yrlP3hHso2h1IRNe4D\nPJTz3ZwSPP+OEnBn5Lj3ZH5z6Lp3tBewDuW+1DLKQa8s8+IcZ2PgVZQTjcZZ9m6U+wwjKU1SW0v6\nMaWy+0Dm98n8//ss55aUynJZ/m1HCfzQFSjJvBtBb2NKRXcxJQgPp1ToU3PcO+g6XjYBXgvsk/8v\npusqCEqA3hLYJPfX11Mq66pfUvbTV1GOqXVyGfehBNtZlMrvyiz/3nTdz1yHEmCGUSr3xvG5hBLU\nNqQcvxdmWScDZ1D2z/WBTSnHZFDqgoMpJ1TvptwLW0gJvvtS9oNHchl+SLni355yDL+OEny2olzV\nNu7//CddLRo7UY7dt+WyDqPrimxBRNya4/2Usj+9NsvxQi7nzpT9YRhlP/kYZZ96kdJScTnlpGEm\n5UQiKMfcjjnNHZTWm9H5/+YcZ2Zuhwcz34Z/BIZHxBfy886UE7trclv+Pa88bn9OmwZTQHpZRPwJ\n2LLS1l21pDpqt8+NtvT5wPCcfnm38as/BKuuv+UZEHemnIU1mgEmU86AdqU0e3T3XP5/L6Vp49GI\n2JASlNbLeTXamt+e+Z8QEXtExJsoFfocSsATpWLfk3JG97eUJqNDKTvk1ylNHEsoleT3gAci4pCc\n9lFKMNmoSTnFK9va16Mc6I1KcSrlIIdSKYyknO09RakwN6cEm+spQWJXStBYRAkQjXm/mVL5/SXl\n4Fqvkmd1W0FZv1WR+aygXNk8C7yarnt6yymV/iLg85STiw9QztIfoASZWbluPpllOpmyXwSlwt6e\ncgB/L8dtFcRvqEx3Uq6rHSjrGEpl3LhS3o+yfg/KMt5GOQtdTDnzr+6DjeaeMykBfQnlbPzO/H4G\npUJeTtmO61OCyicpHRpezGk3zmX5CqUSVJajobFuA7gjIt6S+W5JOUvenVLpTaTc73sGuDoiplOu\njBqV6sicxyaUK9/GvRnl8n03yr2QXVk5IAnKGQdln3iBcgL5dsp+tS0lEN9AOUa2pRwvf6ScCD2f\n6+A0YH5E7E65qrkvp3mesg+um+un0Qx9G+U4ujHL8AlK55v/oBxvS4FPR8RrKZX/Ekpwhq6m06VR\n7rs9Ceyf628FJZD9jHK1s3FOM49yEnZt5t842diErn1+aUTMpZy0PkU5Tn6Y391OaT6bTAnMYyjb\nfVhENE4WHqNcBV6Wy3d1lnNWLsPvKJ1kXpf1x4KI+G1Ou5hX3me8BdhLUiNICbg7uu5rvS3rlIaF\ntGkwBaSXA0Xe1B1GV2W/ujbuNn1j3n8C9lPxXspZFJQdbZikHTPvdSgbcENKhfoAZQfYvTKvzSRt\nRdnBVlB2ok2AxXmz+6iczxLK5fTGlDOjBcA/SNoib87/n8xnBqVyWF/SupSK/zOUs52N6aoYRlKC\n08aU5jdJelfOp9Hks76k47KcG0n6AuVqcj3KBAdlWedm2TejtNk3TKU0k8ygHGzvplSGL0TEzCzv\nayNiBqVieDfwoqSvUyqYRnBbl+b7aONAeleu991zuZZRrmKgVEpH5XCjM8IwSoeLSykVUGP7NQLw\ncMrBDqWpYp2IODs/f4lSEc+kVAZQmuw2r3z+dC7zZpT1vz4lKDZOGt6Y/6Fsy89QKqyFlKvXMVnG\nzSiV7y9o/kBgkRUIZZvtRAl0P6LsA3cAB1Aq4qWUILwhXRV+4/9cylXBQkpldULOexPKvt5d4z7M\noZT9eRvKNro/y/wmSa+lBOkVdJ2lP0VZ59dRgh9Z/gA+n8fT8XS1RFRtJWmHHF6YyzUry7lFlmEK\n2VGE0lT7P5Tt9XwuP3TtJ5/I5duCcuL0fso+uhElqH4A2JOuzho/zWnuzs+LKMdB42R3D8o2fyul\n0odyMvWkpL9sLISkD1Ku4KlMt4xyPE+htJRcQ9d93K9SrooWVuaxRS7345RtPJqyTbaqrNcdKFfB\nr6uU59b83DgZ2p6yvR7M9Oco+82JkkZV1lcjYHZ3NeUk738lvYpSv22VHTeQtK6kN7eYtmcDfe+n\nr/4oO17jxtwUYGw0v4d0VmWaR+jqErqMcgA1upx+KdPfRle32I1zoy6mVEwvUM4Ol9J1A39ZjvNn\nyk42h1LpzKI0OyylHIgr8m8WpeK8irJjL8/x/1/Ov9GpodFN+g+UnXhFjruQrns+olQY0yhNJ4/n\nznJDpjfK2aiAnqXr3tlf5jx25ZXdvpdRDvZTc3gapbnhCbruK83Leb+U6/B3dHWFn5vL9XBlvU+n\n9KiDcha9gq77b8/QdWP/qRxu3EO6g3L2PZ9yL6nRFblx5jmD0u7duPm+KNdlo6vvUkoFvyFd99UW\nV7Zv477dc5TeXfMzvdE9/7787nrKPaTLKGfcjS7KP6IE9nsqZftUro/n8/N3KfevGs1KsykVxtG5\nvhZmuR6gNKu8lOvmx5Rmr+l0dTo5IrdzZLn2pjSnNJr3plAqx0bHgRcrx0HjvsI/5vp8a+a1KJf3\nLTnur4Hrc3g+Zb9/gFK5Nrq+T8v/T1EquWdyPo2fATRuvD+X+TY6NRybea7IMi4GDs/vrs1tdDrl\n5OKBnM+0XB8v5ud7cvyD6Dq27sv5TSF7QmZZ5+Xfssz3rizP3+bwshzvTuCbOd8RWb5GffD9zPuF\nzH8e5Wp5US7fDMp+sD1dnRruo+wnD+Yy/pnSHDmD0pTb6Mp/P6XuaHQAuZGuums+5YT2ycyn0Xz/\nAl3H9/JcZ4fn/OZQ9sOHcvp7KPvdi1mG+ynNkFNymZ+k7F+NdbEp5bi7la7OCz+mq1PDsZR9e4Ms\n2+8pJ5N3AcdVtuPodutx/zB2NWS3x/UiYomkN1GaU3aKiGbdRgcVSetTmiWX55nQD7JJwqylVe03\nkl4VEQuzm/vNwLsi4ulW8+tveZXzwYg4ujfjWHsG7aODOmRj4DpJjfsanx8KwSi9Abgkg3KjGdFs\nVVa131wh6dWUZrB/qlkwOovSKeDQ3oxj7fMVkpmZ1cJg6tRgZmZrMQckMzOrBQckMzOrBQckMzOr\nBQcks24krZD0b5XPX5f0zVVM80FJf7eKcfaXdHmL7/7cwxO+V0nSOEndn4rea52ar1kzDkhmK1vV\nKyBWEq98BUWPo65m+iqtzisEzOrMAclsZcsoL/Bb6cpA0paSfinp5vzbL9OPlvT9HH6TpJsk3Snp\nW5JeqMxiU0m/kHSfpOoDgAWcJGmapD/lD6+R9AZJv5U0VdI1krbN9PMlnSPpJsojggB2k3SdpIck\nnVAp89ck3ZXzPrGN9L+X9ICk6ykPzjTrFw5IZisLyqNePilp027fnUl5IOg+lMfynNdtusY434vy\nIraZvPLqZw/Ko4PeDGwv6Z2V7+ZUHgB6ZqadDfwkyssfL6Q8uqZhm4jYLyL+Jj/vTHmFyT7AOEnr\nSNqL8qigd1Ae0/RZSW+TNLqH9I9SHgXzgfzerF/4SQ1mTUTEAkkT6HoJWsP7gV2ll9+Yu0k+YLJq\nP7oeinoh8G+V726JiKcAJE2lPAz2xvyu8ebgiyjPvGvM68M5/FO6roagPHy16n/zySHPSZpNeQ7b\nu4BLI2Jx5vkrygM81SJ9WKYvAZZIugyzfuKAZNbamZSHU55fSROwb0S8VB2xKz4Br7wiesUXvPIV\nGstp/frwdu41dX+sf7N5d89fdL1GRU3S/egWGzBusjNbWeM9PHMob2k9rvLdJEqTWxlReluT6Rtv\njYXyNPh2fawyzU05/EfKi+agPDn8hjbn1Qg21wOHS9owr+Q+THli/B+Aw1qkHy5pg2yu/OBqlN+s\nV3yFZLay6lXC6ZR36zTSTgT+Q9KdlNdHXE953XnVV4GfSfoG5T0z89rIJ4DNc76L6QpCJwI/lvQ3\nlNc6HNtk2pbzjogpkn5CeYVAAP8V5Q279JD+c8prHmZT3o9l1i/8cFWzPiZpo4hYlMMfA46MiA+v\nYjKzIc9XSGZ9by9JZ1OazeZQ3gxrZqvgKyQzM6sFd2owM7NacEAyM7NacEAyM7NacEAyM7NacEAy\nM7NacEAyM7Na+P8p39IakKL+XwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58286e080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighbourhood_pivot = train.pivot_table(index='Neighborhood',\n",
    "                                    values='SalePrice', aggfunc=np.median)\n",
    "neighbourhood_pivot.plot(kind='bar', color='blue')\n",
    "plt.xlabel('Neighborhood')\n",
    "plt.ylabel('Median Sale Price')\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Neighborhood\n",
       "Blmngtn    191000\n",
       "Blueste    137500\n",
       "BrDale     106000\n",
       "BrkSide    124300\n",
       "ClearCr    200250\n",
       "CollgCr    197200\n",
       "Crawfor    200624\n",
       "Edwards    120000\n",
       "Gilbert    181000\n",
       "IDOTRR     104750\n",
       "MeadowV     88000\n",
       "Mitchel    152200\n",
       "NAmes      140000\n",
       "NPkVill    146000\n",
       "NWAmes     182900\n",
       "NoRidge    301500\n",
       "NridgHt    315000\n",
       "OldTown    119000\n",
       "SWISU      139500\n",
       "Sawyer     135000\n",
       "SawyerW    179900\n",
       "Somerst    225500\n",
       "StoneBr    278000\n",
       "Timber     228475\n",
       "Veenker    218000\n",
       "Name: SalePrice, dtype: int64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "neighbourhood_pivot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# NoRidge    301500\n",
    "# NridgHt    315000\n",
    "# def encode_neighborhood(x):\n",
    "#     return 1 if (x == 'NoRidge' or x == 'NridgHt' or x == 'StoneBr') else 0\n",
    "\n",
    "# train['enc_neighborhood'] = train.Neighborhood.apply(encode_neighborhood)\n",
    "# test['enc_neighborhood'] = test.Neighborhood.apply(encode_neighborhood)\n",
    "\n",
    "train['Neighborhood'].fillna('Gilbert')\n",
    "train_lot_shape = pd.get_dummies(train['LotShape'])\n",
    "train = pd.concat([train, train_lot_shape], axis=1)\n",
    "\n",
    "test['Neighborhood'].fillna('Gilbert')\n",
    "test_lot_shape = pd.get_dummies(test['LotShape'])\n",
    "test = pd.concat([test, test_lot_shape], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: Street"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train['enc_street'] = pd.get_dummies(train.Street, drop_first=True)\n",
    "test['enc_street'] = pd.get_dummies(train.Street, drop_first=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1    1450\n",
      "0       5\n",
      "Name: enc_street, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print (train.enc_street.value_counts())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Field: Sale Condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZUAAAEPCAYAAACKplkeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmZll46S2+W7bAAAACklEQVRiZmbZ/H/L+PZxlNj+OQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb58284c3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "condition_pivot = train.pivot_table(index='SaleCondition',\n",
    "                                    values='SalePrice', aggfunc=np.median)\n",
    "condition_pivot.plot(kind='bar', color='blue')\n",
    "plt.xlabel('Sale Condition')\n",
    "plt.ylabel('Median Sale Price')\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def encode(x):\n",
    "    return 1 if x == 'Partial' else 0\n",
    "\n",
    "train['enc_condition'] = train.SaleCondition.apply(encode)\n",
    "test['enc_condition'] = test.SaleCondition.apply(encode)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZUAAAEPCAYAAACKplkeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb5827b2630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "condition_pivot = train.pivot_table(index='enc_condition', values='SalePrice', aggfunc=np.median)\n",
    "condition_pivot.plot(kind='bar', color='blue')\n",
    "plt.xlabel('Encoded Sale Condition')\n",
    "plt.ylabel('Median Sale Price')\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train data shape: (1455, 93)\n",
      "Test data shape: (1459, 92)\n"
     ]
    }
   ],
   "source": [
    "print (\"Train data shape:\", train.shape)\n",
    "print (\"Test data shape:\", test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Build a model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = train.select_dtypes(include=[np.number])\n",
    "y = np.log(train.SalePrice)  # Target variable\n",
    "X = data.drop(['SalePrice', 'Id'], axis=1)  # Features    f(X) = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42, test_size=.33)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import linear_model\n",
    "from sklearn.metrics import mean_squared_error\n",
    "linreg = linear_model.LinearRegression(n_jobs=-1)\n",
    "\n",
    "linreg_model = linreg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R^2 is: \n",
      " 0.911579224449\n",
      "RMSE is: \n",
      " 0.0141168128968\n"
     ]
    }
   ],
   "source": [
    "predictions = linreg_model.predict(X_test)\n",
    "rsq = linreg_model.score(X_test, y_test)\n",
    "rmse = mean_squared_error(y_test, predictions)\n",
    "print (\"R^2 is: \\n\",rsq)\n",
    "print ('RMSE is: \\n', rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (Cross_validation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean:  0.128715726333\n",
      "StDev:  0.0336961603047\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score\n",
    "scores = cross_val_score(linreg, X_train, y_train, scoring=\"neg_mean_squared_error\", cv=10)\n",
    "rmse_scores = np.sqrt(-scores)\n",
    "\n",
    "print('Mean: ', rmse_scores.mean())\n",
    "print('StDev: ', rmse_scores.std())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ridge Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Ridge, RidgeCV, ElasticNet, LassoCV, LassoLarsCV\n",
    "from sklearn.model_selection import cross_val_score\n",
    "\n",
    "def rmse_cv(model):\n",
    "    rmse= np.sqrt(-cross_val_score(model, X_train, y_train, scoring=\"neg_mean_squared_error\", cv = 5))\n",
    "    return(rmse)\n",
    "\n",
    "model_ridge = Ridge()\n",
    "\n",
    "alphas = [1, 1.1, 1.2, 1.25, 1.3, 1.33, 1.35, 1.38, 1.4, 1.5, 1.7]\n",
    "cv_ridge = [rmse_cv(Ridge(alpha = alpha)).mean() \n",
    "            for alpha in alphas]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7fb582a409b0>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAEZCAYAAAA+MZraAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb582a23f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cv_ridge = pd.Series(cv_ridge, index = alphas)\n",
    "cv_ridge.plot(title = \"Validation\")\n",
    "plt.xlabel(\"alpha\")\n",
    "plt.ylabel(\"rmse\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.13156528310754312"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv_ridge.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import linear_model\n",
    "alpha = 1.32\n",
    "rm = linear_model.Ridge(alpha=alpha)\n",
    "ridge_model = rm.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R^2 is: \n",
      " 0.910780424606\n",
      "RMSE is: \n",
      " 0.0142443452314\n"
     ]
    }
   ],
   "source": [
    "predictions = ridge_model.predict(X_test)\n",
    "rsq = ridge_model.score(X_test, y_test)\n",
    "rmse = mean_squared_error(y_test, predictions)\n",
    "print (\"R^2 is: \\n\",rsq)\n",
    "print ('RMSE is: \\n', rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lasso Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# alphas = [0.01, 0.05, 0.1, 0.3, 1, 3, 5, 10, 15, 30, 50, 75]\n",
    "alphas=[0.1, 1.0, 10.0]\n",
    "model_lasso = LassoCV(normalize=True).fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.13165115589511203"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rmse_cv(model_lasso).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.3599693116197221e-05"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_lasso.alpha_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R^2 is: \n",
      " 0.913553178269\n",
      "RMSE is: \n",
      " 0.0138016614343\n"
     ]
    }
   ],
   "source": [
    "predictions = model_lasso.predict(X_test)\n",
    "rsq = model_lasso.score(X_test, y_test)\n",
    "rmse = mean_squared_error(y_test, predictions)\n",
    "print (\"R^2 is: \\n\",rsq)\n",
    "print ('RMSE is: \\n', rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decision Tree Regressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "\n",
    "tree_reg = DecisionTreeRegressor()\n",
    "tree_model = tree_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R^2 is: \n",
      " 0.714341763951\n",
      "RMSE is: \n",
      " 0.0456067462158\n"
     ]
    }
   ],
   "source": [
    "predictions = tree_model.predict(X_test)\n",
    "rsq = tree_model.score(X_test, y_test)\n",
    "rmse = mean_squared_error(y_test, predictions)\n",
    "print (\"R^2 is: \\n\",rsq)\n",
    "print ('RMSE is: \\n', rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random Forest Regressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "forest_reg = RandomForestRegressor()\n",
    "forest_model = forest_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R^2 is: \n",
      " 0.874782769411\n",
      "RMSE is: \n",
      " 0.0199915484192\n"
     ]
    }
   ],
   "source": [
    "predictions = forest_model.predict(X_test)\n",
    "rsq = forest_model.score(X_test, y_test)\n",
    "rmse = mean_squared_error(y_test, predictions)\n",
    "print (\"R^2 is: \\n\",rsq)\n",
    "print ('RMSE is: \\n', rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Evaluate Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Submission"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "submission = pd.DataFrame()\n",
    "submission['Id'] = test.Id\n",
    "feats = test.select_dtypes(\n",
    "        include=[np.number]).drop(['Id'], axis=1).interpolate()\n",
    "predictions = model_lasso.predict(feats)\n",
    "final_predictions = np.exp(predictions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "submission['SalePrice'] = final_predictions\n",
    "submission.to_csv('submission1.csv', index=False)"
   ]
  }
 ],
 "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}