Investigate TMDB Movie Dataset.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Investigate TMDB Movie Dataset\n",
    "\n",
    "## Table of Contents\n",
    "<ul>\n",
    "<li><a href=\"#intro\">Introduction</a></li>\n",
    "<li><a href=\"#wrangling\">Data Wrangling</a></li>\n",
    "<li><a href=\"#eda\">Exploratory Data Analysis</a></li>\n",
    "<li><a href=\"#conclusions\">Conclusions</a></li>\n",
    "</ul>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a id='intro'></a>\n",
    "## Introduction\n",
    "\n",
    "In this project, I will analyze the TMDb movie dataset and then communicate my findings about it, this data set contains information about 10,000 movies collected from The Movie Database (TMDb), including user ratings, revenue, budget, director, release date, runtime and more patterns, I will use the Python libraries NumPy, pandas, Matplotlib and Seaborn to make my analysis easier.\n",
    "\n",
    "I will go through the data analysis process and see how everything fits together.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Questions ...?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***1)Top 20 Rated Movies?*** <br>\n",
    "\n",
    "***2)What Kinds of properties are associated with Top 20 Rated Movies?*** <br>\n",
    "\n",
    "***3)Top 20 Profitable Movies?*** <br>\n",
    "\n",
    "***4)What Kinds of properties are associated with Top 20 Profitable Movies?*** <br>\n",
    "\n",
    "***5)Top 10 Directors by Number of Released Movies?*** <br>\n",
    "\n",
    "***6)What is The Distribution of Runtime?*** <br>\n",
    "\n",
    "***7)What is The Correlations Between Movies Properties?*** <br>\n",
    "\n",
    "***8)How Movies Profit changed over Years?*** <br>\n",
    "\n",
    "***9)What is The Average Genre Profit?*** <br>\n",
    "\n",
    "***10)What is The Distribution of  Genre Profit?*** <br>\n",
    "\n",
    "***11)How average Genre Profit changed over Years?***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='wrangling'></a>\n",
    "## Data Wrangling\n",
    "\n",
    "\n",
    "### General Properties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Important Libraries to use\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "sns.set_style('darkgrid')\n",
    "sns.set_context(\"notebook\", font_scale=1.25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>imdb_id</th>\n",
       "      <th>popularity</th>\n",
       "      <th>budget</th>\n",
       "      <th>revenue</th>\n",
       "      <th>original_title</th>\n",
       "      <th>cast</th>\n",
       "      <th>homepage</th>\n",
       "      <th>director</th>\n",
       "      <th>tagline</th>\n",
       "      <th>...</th>\n",
       "      <th>overview</th>\n",
       "      <th>runtime</th>\n",
       "      <th>genres</th>\n",
       "      <th>production_companies</th>\n",
       "      <th>release_date</th>\n",
       "      <th>vote_count</th>\n",
       "      <th>vote_average</th>\n",
       "      <th>release_year</th>\n",
       "      <th>budget_adj</th>\n",
       "      <th>revenue_adj</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>135397</td>\n",
       "      <td>tt0369610</td>\n",
       "      <td>32.985763</td>\n",
       "      <td>150000000</td>\n",
       "      <td>1513528810</td>\n",
       "      <td>Jurassic World</td>\n",
       "      <td>Chris Pratt|Bryce Dallas Howard|Irrfan Khan|Vi...</td>\n",
       "      <td>http://www.jurassicworld.com/</td>\n",
       "      <td>Colin Trevorrow</td>\n",
       "      <td>The park is open.</td>\n",
       "      <td>...</td>\n",
       "      <td>Twenty-two years after the events of Jurassic ...</td>\n",
       "      <td>124</td>\n",
       "      <td>Action|Adventure|Science Fiction|Thriller</td>\n",
       "      <td>Universal Studios|Amblin Entertainment|Legenda...</td>\n",
       "      <td>6/9/15</td>\n",
       "      <td>5562</td>\n",
       "      <td>6.5</td>\n",
       "      <td>2015</td>\n",
       "      <td>1.379999e+08</td>\n",
       "      <td>1.392446e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>76341</td>\n",
       "      <td>tt1392190</td>\n",
       "      <td>28.419936</td>\n",
       "      <td>150000000</td>\n",
       "      <td>378436354</td>\n",
       "      <td>Mad Max: Fury Road</td>\n",
       "      <td>Tom Hardy|Charlize Theron|Hugh Keays-Byrne|Nic...</td>\n",
       "      <td>http://www.madmaxmovie.com/</td>\n",
       "      <td>George Miller</td>\n",
       "      <td>What a Lovely Day.</td>\n",
       "      <td>...</td>\n",
       "      <td>An apocalyptic story set in the furthest reach...</td>\n",
       "      <td>120</td>\n",
       "      <td>Action|Adventure|Science Fiction|Thriller</td>\n",
       "      <td>Village Roadshow Pictures|Kennedy Miller Produ...</td>\n",
       "      <td>5/13/15</td>\n",
       "      <td>6185</td>\n",
       "      <td>7.1</td>\n",
       "      <td>2015</td>\n",
       "      <td>1.379999e+08</td>\n",
       "      <td>3.481613e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>262500</td>\n",
       "      <td>tt2908446</td>\n",
       "      <td>13.112507</td>\n",
       "      <td>110000000</td>\n",
       "      <td>295238201</td>\n",
       "      <td>Insurgent</td>\n",
       "      <td>Shailene Woodley|Theo James|Kate Winslet|Ansel...</td>\n",
       "      <td>http://www.thedivergentseries.movie/#insurgent</td>\n",
       "      <td>Robert Schwentke</td>\n",
       "      <td>One Choice Can Destroy You</td>\n",
       "      <td>...</td>\n",
       "      <td>Beatrice Prior must confront her inner demons ...</td>\n",
       "      <td>119</td>\n",
       "      <td>Adventure|Science Fiction|Thriller</td>\n",
       "      <td>Summit Entertainment|Mandeville Films|Red Wago...</td>\n",
       "      <td>3/18/15</td>\n",
       "      <td>2480</td>\n",
       "      <td>6.3</td>\n",
       "      <td>2015</td>\n",
       "      <td>1.012000e+08</td>\n",
       "      <td>2.716190e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>140607</td>\n",
       "      <td>tt2488496</td>\n",
       "      <td>11.173104</td>\n",
       "      <td>200000000</td>\n",
       "      <td>2068178225</td>\n",
       "      <td>Star Wars: The Force Awakens</td>\n",
       "      <td>Harrison Ford|Mark Hamill|Carrie Fisher|Adam D...</td>\n",
       "      <td>http://www.starwars.com/films/star-wars-episod...</td>\n",
       "      <td>J.J. Abrams</td>\n",
       "      <td>Every generation has a story.</td>\n",
       "      <td>...</td>\n",
       "      <td>Thirty years after defeating the Galactic Empi...</td>\n",
       "      <td>136</td>\n",
       "      <td>Action|Adventure|Science Fiction|Fantasy</td>\n",
       "      <td>Lucasfilm|Truenorth Productions|Bad Robot</td>\n",
       "      <td>12/15/15</td>\n",
       "      <td>5292</td>\n",
       "      <td>7.5</td>\n",
       "      <td>2015</td>\n",
       "      <td>1.839999e+08</td>\n",
       "      <td>1.902723e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>168259</td>\n",
       "      <td>tt2820852</td>\n",
       "      <td>9.335014</td>\n",
       "      <td>190000000</td>\n",
       "      <td>1506249360</td>\n",
       "      <td>Furious 7</td>\n",
       "      <td>Vin Diesel|Paul Walker|Jason Statham|Michelle ...</td>\n",
       "      <td>http://www.furious7.com/</td>\n",
       "      <td>James Wan</td>\n",
       "      <td>Vengeance Hits Home</td>\n",
       "      <td>...</td>\n",
       "      <td>Deckard Shaw seeks revenge against Dominic Tor...</td>\n",
       "      <td>137</td>\n",
       "      <td>Action|Crime|Thriller</td>\n",
       "      <td>Universal Pictures|Original Film|Media Rights ...</td>\n",
       "      <td>4/1/15</td>\n",
       "      <td>2947</td>\n",
       "      <td>7.3</td>\n",
       "      <td>2015</td>\n",
       "      <td>1.747999e+08</td>\n",
       "      <td>1.385749e+09</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 21 columns</p>\n",
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      "text/plain": [
       "       id    imdb_id  popularity     budget     revenue  \\\n",
       "0  135397  tt0369610   32.985763  150000000  1513528810   \n",
       "1   76341  tt1392190   28.419936  150000000   378436354   \n",
       "2  262500  tt2908446   13.112507  110000000   295238201   \n",
       "3  140607  tt2488496   11.173104  200000000  2068178225   \n",
       "4  168259  tt2820852    9.335014  190000000  1506249360   \n",
       "\n",
       "                 original_title  \\\n",
       "0                Jurassic World   \n",
       "1            Mad Max: Fury Road   \n",
       "2                     Insurgent   \n",
       "3  Star Wars: The Force Awakens   \n",
       "4                     Furious 7   \n",
       "\n",
       "                                                cast  \\\n",
       "0  Chris Pratt|Bryce Dallas Howard|Irrfan Khan|Vi...   \n",
       "1  Tom Hardy|Charlize Theron|Hugh Keays-Byrne|Nic...   \n",
       "2  Shailene Woodley|Theo James|Kate Winslet|Ansel...   \n",
       "3  Harrison Ford|Mark Hamill|Carrie Fisher|Adam D...   \n",
       "4  Vin Diesel|Paul Walker|Jason Statham|Michelle ...   \n",
       "\n",
       "                                            homepage          director  \\\n",
       "0                      http://www.jurassicworld.com/   Colin Trevorrow   \n",
       "1                        http://www.madmaxmovie.com/     George Miller   \n",
       "2     http://www.thedivergentseries.movie/#insurgent  Robert Schwentke   \n",
       "3  http://www.starwars.com/films/star-wars-episod...       J.J. Abrams   \n",
       "4                           http://www.furious7.com/         James Wan   \n",
       "\n",
       "                         tagline  ...  \\\n",
       "0              The park is open.  ...   \n",
       "1             What a Lovely Day.  ...   \n",
       "2     One Choice Can Destroy You  ...   \n",
       "3  Every generation has a story.  ...   \n",
       "4            Vengeance Hits Home  ...   \n",
       "\n",
       "                                            overview runtime  \\\n",
       "0  Twenty-two years after the events of Jurassic ...     124   \n",
       "1  An apocalyptic story set in the furthest reach...     120   \n",
       "2  Beatrice Prior must confront her inner demons ...     119   \n",
       "3  Thirty years after defeating the Galactic Empi...     136   \n",
       "4  Deckard Shaw seeks revenge against Dominic Tor...     137   \n",
       "\n",
       "                                      genres  \\\n",
       "0  Action|Adventure|Science Fiction|Thriller   \n",
       "1  Action|Adventure|Science Fiction|Thriller   \n",
       "2         Adventure|Science Fiction|Thriller   \n",
       "3   Action|Adventure|Science Fiction|Fantasy   \n",
       "4                      Action|Crime|Thriller   \n",
       "\n",
       "                                production_companies release_date vote_count  \\\n",
       "0  Universal Studios|Amblin Entertainment|Legenda...       6/9/15       5562   \n",
       "1  Village Roadshow Pictures|Kennedy Miller Produ...      5/13/15       6185   \n",
       "2  Summit Entertainment|Mandeville Films|Red Wago...      3/18/15       2480   \n",
       "3          Lucasfilm|Truenorth Productions|Bad Robot     12/15/15       5292   \n",
       "4  Universal Pictures|Original Film|Media Rights ...       4/1/15       2947   \n",
       "\n",
       "   vote_average  release_year    budget_adj   revenue_adj  \n",
       "0           6.5          2015  1.379999e+08  1.392446e+09  \n",
       "1           7.1          2015  1.379999e+08  3.481613e+08  \n",
       "2           6.3          2015  1.012000e+08  2.716190e+08  \n",
       "3           7.5          2015  1.839999e+08  1.902723e+09  \n",
       "4           7.3          2015  1.747999e+08  1.385749e+09  \n",
       "\n",
       "[5 rows x 21 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the TMDb movie dataset 'tmdb-movies.csv' to 'movie_df' dataframe\n",
    "movie_df =pd.read_csv('tmdb-movies.csv')\n",
    "# see first 5 rows from the data\n",
    "movie_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**1) There are unique id value for each row.** <br>\n",
    "**2) There are no currency unit for budget or revenue, So I will consider that budget and revenue are in dollar currency.** <br>\n",
    "**3) 'cast' and 'genres' columns contain multiple values separated by pipe (|) characters.**\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 10866 Rows and 21 Columns in our Data\n"
     ]
    }
   ],
   "source": [
    "# print number of rows and columns\n",
    "print(\"There are {} Rows and {} Columns in our Data\".format(movie_df.shape[0], movie_df.shape[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['id' 'imdb_id' 'popularity' 'budget' 'revenue' 'original_title' 'cast'\n",
      " 'homepage' 'director' 'tagline' 'keywords' 'overview' 'runtime' 'genres'\n",
      " 'production_companies' 'release_date' 'vote_count' 'vote_average'\n",
      " 'release_year' 'budget_adj' 'revenue_adj']\n"
     ]
    }
   ],
   "source": [
    "# print columns names\n",
    "print(movie_df.columns.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 10866 entries, 0 to 10865\n",
      "Data columns (total 21 columns):\n",
      " #   Column                Non-Null Count  Dtype  \n",
      "---  ------                --------------  -----  \n",
      " 0   id                    10866 non-null  int64  \n",
      " 1   imdb_id               10856 non-null  object \n",
      " 2   popularity            10866 non-null  float64\n",
      " 3   budget                10866 non-null  int64  \n",
      " 4   revenue               10866 non-null  int64  \n",
      " 5   original_title        10866 non-null  object \n",
      " 6   cast                  10790 non-null  object \n",
      " 7   homepage              2936 non-null   object \n",
      " 8   director              10822 non-null  object \n",
      " 9   tagline               8042 non-null   object \n",
      " 10  keywords              9373 non-null   object \n",
      " 11  overview              10862 non-null  object \n",
      " 12  runtime               10866 non-null  int64  \n",
      " 13  genres                10843 non-null  object \n",
      " 14  production_companies  9836 non-null   object \n",
      " 15  release_date          10866 non-null  object \n",
      " 16  vote_count            10866 non-null  int64  \n",
      " 17  vote_average          10866 non-null  float64\n",
      " 18  release_year          10866 non-null  int64  \n",
      " 19  budget_adj            10866 non-null  float64\n",
      " 20  revenue_adj           10866 non-null  float64\n",
      "dtypes: float64(4), int64(6), object(11)\n",
      "memory usage: 1.3+ MB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "# print summary information about data \n",
    "print(movie_df.info())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***There are many null values in some columns like 'imdb_id', 'cast', 'homepage', 'director', 'tagline', 'keywords', 'overview',  'genres' and 'production_companies'.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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       "      <th></th>\n",
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       "      <th>count</th>\n",
       "      <td>10866.000000</td>\n",
       "      <td>10866.000000</td>\n",
       "      <td>1.086600e+04</td>\n",
       "      <td>1.086600e+04</td>\n",
       "      <td>10866.000000</td>\n",
       "      <td>10866.000000</td>\n",
       "      <td>10866.000000</td>\n",
       "      <td>10866.000000</td>\n",
       "      <td>1.086600e+04</td>\n",
       "      <td>1.086600e+04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>66064.177434</td>\n",
       "      <td>0.646441</td>\n",
       "      <td>1.462570e+07</td>\n",
       "      <td>3.982332e+07</td>\n",
       "      <td>102.070863</td>\n",
       "      <td>217.389748</td>\n",
       "      <td>5.974922</td>\n",
       "      <td>2001.322658</td>\n",
       "      <td>1.755104e+07</td>\n",
       "      <td>5.136436e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>92130.136561</td>\n",
       "      <td>1.000185</td>\n",
       "      <td>3.091321e+07</td>\n",
       "      <td>1.170035e+08</td>\n",
       "      <td>31.381405</td>\n",
       "      <td>575.619058</td>\n",
       "      <td>0.935142</td>\n",
       "      <td>12.812941</td>\n",
       "      <td>3.430616e+07</td>\n",
       "      <td>1.446325e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>1.500000</td>\n",
       "      <td>1960.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>10596.250000</td>\n",
       "      <td>0.207583</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>90.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>5.400000</td>\n",
       "      <td>1995.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>20669.000000</td>\n",
       "      <td>0.383856</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>99.000000</td>\n",
       "      <td>38.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>2006.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>75610.000000</td>\n",
       "      <td>0.713817</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>2.400000e+07</td>\n",
       "      <td>111.000000</td>\n",
       "      <td>145.750000</td>\n",
       "      <td>6.600000</td>\n",
       "      <td>2011.000000</td>\n",
       "      <td>2.085325e+07</td>\n",
       "      <td>3.369710e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>417859.000000</td>\n",
       "      <td>32.985763</td>\n",
       "      <td>4.250000e+08</td>\n",
       "      <td>2.781506e+09</td>\n",
       "      <td>900.000000</td>\n",
       "      <td>9767.000000</td>\n",
       "      <td>9.200000</td>\n",
       "      <td>2015.000000</td>\n",
       "      <td>4.250000e+08</td>\n",
       "      <td>2.827124e+09</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  id    popularity        budget       revenue       runtime  \\\n",
       "count   10866.000000  10866.000000  1.086600e+04  1.086600e+04  10866.000000   \n",
       "mean    66064.177434      0.646441  1.462570e+07  3.982332e+07    102.070863   \n",
       "std     92130.136561      1.000185  3.091321e+07  1.170035e+08     31.381405   \n",
       "min         5.000000      0.000065  0.000000e+00  0.000000e+00      0.000000   \n",
       "25%     10596.250000      0.207583  0.000000e+00  0.000000e+00     90.000000   \n",
       "50%     20669.000000      0.383856  0.000000e+00  0.000000e+00     99.000000   \n",
       "75%     75610.000000      0.713817  1.500000e+07  2.400000e+07    111.000000   \n",
       "max    417859.000000     32.985763  4.250000e+08  2.781506e+09    900.000000   \n",
       "\n",
       "         vote_count  vote_average  release_year    budget_adj   revenue_adj  \n",
       "count  10866.000000  10866.000000  10866.000000  1.086600e+04  1.086600e+04  \n",
       "mean     217.389748      5.974922   2001.322658  1.755104e+07  5.136436e+07  \n",
       "std      575.619058      0.935142     12.812941  3.430616e+07  1.446325e+08  \n",
       "min       10.000000      1.500000   1960.000000  0.000000e+00  0.000000e+00  \n",
       "25%       17.000000      5.400000   1995.000000  0.000000e+00  0.000000e+00  \n",
       "50%       38.000000      6.000000   2006.000000  0.000000e+00  0.000000e+00  \n",
       "75%      145.750000      6.600000   2011.000000  2.085325e+07  3.369710e+07  \n",
       "max     9767.000000      9.200000   2015.000000  4.250000e+08  2.827124e+09  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculating the descriptive statistics for each numeric column\n",
    "movie_df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***'id' column must be categorical column.***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Cleaning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Remove Duplicated Rows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 1 Duplicated Rows\n"
     ]
    }
   ],
   "source": [
    "# check duplicated rows\n",
    "print('There are {} Duplicated Rows'.format(movie_df.duplicated().sum()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "After removing duplicated rows the number of rows become 10865 \n"
     ]
    }
   ],
   "source": [
    "# remove duplicated rows\n",
    "movie_df.drop_duplicates(inplace=True)\n",
    "print(\"After removing duplicated rows the number of rows become {} \".format(movie_df.shape[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Remove Unused Columns:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***I will remove unused columns like 'imdb_id',  'cast', 'homepage', 'tagline', 'keywords', 'overview', 'production_companies', 'vote_count',  'budget_adj' and 'revenue_adj' columns from data.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "After Removing Unused Columns There are 11 Columns,\n",
      "and their Names are\n",
      "['id' 'popularity' 'budget' 'revenue' 'original_title' 'director'\n",
      " 'runtime' 'genres' 'release_date' 'vote_average' 'release_year']\n"
     ]
    }
   ],
   "source": [
    "movie_df.drop(columns=['imdb_id',  'cast', 'homepage', 'tagline', 'keywords', 'overview', 'production_companies', 'vote_count', 'budget_adj', 'revenue_adj'], inplace=True)\n",
    "print(\"After Removing Unused Columns There are {} Columns,\".format(movie_df.shape[1]))\n",
    "print('and their Names are')\n",
    "print(movie_df.columns.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Remove Null Values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id                 0\n",
       "popularity         0\n",
       "budget             0\n",
       "revenue            0\n",
       "original_title     0\n",
       "director          44\n",
       "runtime            0\n",
       "genres            23\n",
       "release_date       0\n",
       "vote_average       0\n",
       "release_year       0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check count of null values\n",
    "movie_df.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**1) 'director' column have 44 null values.** <br>\n",
    "**2) 'genres' column have 23 null values.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# remove null values\n",
    "movie_df.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id                0\n",
       "popularity        0\n",
       "budget            0\n",
       "revenue           0\n",
       "original_title    0\n",
       "director          0\n",
       "runtime           0\n",
       "genres            0\n",
       "release_date      0\n",
       "vote_average      0\n",
       "release_year      0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check count of null values\n",
    "movie_df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 10800 Rows and 11 Columns After Removing Null Values\n"
     ]
    }
   ],
   "source": [
    "# print number of rows and columns\n",
    "print(\"There are {} Rows and {} Columns After Removing Null Values\".format(movie_df.shape[0], movie_df.shape[1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fix Zero Values in Budget, Revenue and Runtime:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget     5636\n",
       "revenue    5952\n",
       "runtime      28\n",
       "dtype: int64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check zero values in 'budget', 'revenue' and 'runtime' columns.\n",
    "movie_df[['budget', 'revenue', 'runtime']].apply(lambda x: np.sum(x==0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**1) 'budget' column has 5636 zero values.** <br>\n",
    "**2) 'revenue' column has 5952 zero values.** <br>\n",
    "**3) 'runtime' column has 28 zero values.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# replace zero values with the mean of each column\n",
    "movie_df[['budget', 'revenue', 'runtime']] = movie_df[['budget', 'revenue', 'runtime']].apply(lambda x: x.replace(0, x.mean()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget     0\n",
       "revenue    0\n",
       "runtime    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check zero values\n",
    "movie_df[['budget', 'revenue', 'runtime']].apply(lambda x: np.sum(x==0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fix Columns Datatypes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id                  int64\n",
       "popularity        float64\n",
       "budget            float64\n",
       "revenue           float64\n",
       "original_title     object\n",
       "director           object\n",
       "runtime           float64\n",
       "genres             object\n",
       "release_date       object\n",
       "vote_average      float64\n",
       "release_year        int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check columns datatypes.\n",
    "movie_df.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**1) I will convert 'id' column from integer to string.**  <br>\n",
    "**2) I will convert 'release_date' column from object to datetime.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convert 'id' column datatype to string format\n",
    "movie_df['id'] = movie_df['id'].astype('string')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convert 'release_date' column datatype to datetime format\n",
    "movie_df['release_date'] = pd.to_datetime(movie_df['release_date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id                        string\n",
       "popularity               float64\n",
       "budget                   float64\n",
       "revenue                  float64\n",
       "original_title            object\n",
       "director                  object\n",
       "runtime                  float64\n",
       "genres                    object\n",
       "release_date      datetime64[ns]\n",
       "vote_average             float64\n",
       "release_year               int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check columns datatypes.\n",
    "movie_df.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add New Column:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# add 'profit' column\n",
    "movie_df['profit'] = movie_df['revenue'] - movie_df['budget']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rename Columns:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current Names are ['id' 'popularity' 'budget' 'revenue' 'title' 'director' 'runtime' 'genre'\n",
      " 'release_date' 'rating' 'year' 'profit']\n"
     ]
    }
   ],
   "source": [
    "# rename 'genres' to 'genre', 'original_title' to 'title', 'vote_average' to 'rating', 'release_year' to 'year'\n",
    "movie_df.rename(columns={'genres':'genre', 'original_title':'title', 'vote_average':'rating', 'release_year':'year'}, inplace=True)\n",
    "print(\"Current Names are {}\".format(movie_df.columns.values))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rearrange Columns:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current Order is ['id' 'title' 'director' 'genre' 'runtime' 'budget' 'revenue' 'profit'\n",
      " 'rating' 'popularity' 'release_date' 'year']\n"
     ]
    }
   ],
   "source": [
    "# rearrange columns positions\n",
    "movie_df = movie_df[['id', 'title', 'director', 'genre', 'runtime', 'budget', 'revenue', 'profit', 'rating',  'popularity', 'release_date', 'year']]\n",
    "print(\"Current Order is {}\".format(movie_df.columns.values))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Check Cleaned Data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>title</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>runtime</th>\n",
       "      <th>budget</th>\n",
       "      <th>revenue</th>\n",
       "      <th>profit</th>\n",
       "      <th>rating</th>\n",
       "      <th>popularity</th>\n",
       "      <th>release_date</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>135397</td>\n",
       "      <td>Jurassic World</td>\n",
       "      <td>Colin Trevorrow</td>\n",
       "      <td>Action|Adventure|Science Fiction|Thriller</td>\n",
       "      <td>124.0</td>\n",
       "      <td>150000000.0</td>\n",
       "      <td>1.513529e+09</td>\n",
       "      <td>1.363529e+09</td>\n",
       "      <td>6.5</td>\n",
       "      <td>32.985763</td>\n",
       "      <td>2015-06-09</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>76341</td>\n",
       "      <td>Mad Max: Fury Road</td>\n",
       "      <td>George Miller</td>\n",
       "      <td>Action|Adventure|Science Fiction|Thriller</td>\n",
       "      <td>120.0</td>\n",
       "      <td>150000000.0</td>\n",
       "      <td>3.784364e+08</td>\n",
       "      <td>2.284364e+08</td>\n",
       "      <td>7.1</td>\n",
       "      <td>28.419936</td>\n",
       "      <td>2015-05-13</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>262500</td>\n",
       "      <td>Insurgent</td>\n",
       "      <td>Robert Schwentke</td>\n",
       "      <td>Adventure|Science Fiction|Thriller</td>\n",
       "      <td>119.0</td>\n",
       "      <td>110000000.0</td>\n",
       "      <td>2.952382e+08</td>\n",
       "      <td>1.852382e+08</td>\n",
       "      <td>6.3</td>\n",
       "      <td>13.112507</td>\n",
       "      <td>2015-03-18</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>140607</td>\n",
       "      <td>Star Wars: The Force Awakens</td>\n",
       "      <td>J.J. Abrams</td>\n",
       "      <td>Action|Adventure|Science Fiction|Fantasy</td>\n",
       "      <td>136.0</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>2.068178e+09</td>\n",
       "      <td>1.868178e+09</td>\n",
       "      <td>7.5</td>\n",
       "      <td>11.173104</td>\n",
       "      <td>2015-12-15</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>168259</td>\n",
       "      <td>Furious 7</td>\n",
       "      <td>James Wan</td>\n",
       "      <td>Action|Crime|Thriller</td>\n",
       "      <td>137.0</td>\n",
       "      <td>190000000.0</td>\n",
       "      <td>1.506249e+09</td>\n",
       "      <td>1.316249e+09</td>\n",
       "      <td>7.3</td>\n",
       "      <td>9.335014</td>\n",
       "      <td>2015-04-01</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       id                         title          director  \\\n",
       "0  135397                Jurassic World   Colin Trevorrow   \n",
       "1   76341            Mad Max: Fury Road     George Miller   \n",
       "2  262500                     Insurgent  Robert Schwentke   \n",
       "3  140607  Star Wars: The Force Awakens       J.J. Abrams   \n",
       "4  168259                     Furious 7         James Wan   \n",
       "\n",
       "                                       genre  runtime       budget  \\\n",
       "0  Action|Adventure|Science Fiction|Thriller    124.0  150000000.0   \n",
       "1  Action|Adventure|Science Fiction|Thriller    120.0  150000000.0   \n",
       "2         Adventure|Science Fiction|Thriller    119.0  110000000.0   \n",
       "3   Action|Adventure|Science Fiction|Fantasy    136.0  200000000.0   \n",
       "4                      Action|Crime|Thriller    137.0  190000000.0   \n",
       "\n",
       "        revenue        profit  rating  popularity release_date  year  \n",
       "0  1.513529e+09  1.363529e+09     6.5   32.985763   2015-06-09  2015  \n",
       "1  3.784364e+08  2.284364e+08     7.1   28.419936   2015-05-13  2015  \n",
       "2  2.952382e+08  1.852382e+08     6.3   13.112507   2015-03-18  2015  \n",
       "3  2.068178e+09  1.868178e+09     7.5   11.173104   2015-12-15  2015  \n",
       "4  1.506249e+09  1.316249e+09     7.3    9.335014   2015-04-01  2015  "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check our data \n",
    "movie_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Save Cleaned Data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save our cleaned data as 'cleaned_movie_data.csv'\n",
    "movie_df.to_csv('cleaned_movie_data.csv', index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <a id='eda'></a>\n",
    "## Exploratory Data Analysis\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1) Top 20 Rated Movies?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sort data descending by 'rating' column and slicing first 20 movies\n",
    "top20_rating = movie_df.sort_values('rating', ascending=False)[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualizing the top 20 rated movies\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.barplot(data=top20_rating, x='rating', y='title', palette=\"viridis\")\n",
    "plt.title(\"Top 20 Rated Movies\")\n",
    "plt.xlabel(\"Rating\")\n",
    "plt.ylabel(\"Movie\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***Top 5 Rated Movies:***<br>\n",
    "***1)The Story of Film: An Odyssey with Rating 9.2 .*** <br>\n",
    "***2)The Mask You Live In with Rating 8.9 .*** <br>\n",
    "***3)Black Mirror: White Christmas with Rating 8.8 .*** <br>\n",
    "***4)Life Cycles with Rating 8.8 .*** <br>\n",
    "***5)Pink Floyd: Pulse with Rating 8.7 .***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2) What Kinds of properties are associated with Top 20 Rated Movies?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>title</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>runtime</th>\n",
       "      <th>budget</th>\n",
       "      <th>revenue</th>\n",
       "      <th>profit</th>\n",
       "      <th>rating</th>\n",
       "      <th>popularity</th>\n",
       "      <th>release_date</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3894</th>\n",
       "      <td>125336</td>\n",
       "      <td>The Story of Film: An Odyssey</td>\n",
       "      <td>Mark Cousins</td>\n",
       "      <td>Documentary</td>\n",
       "      <td>900.0</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>9.2</td>\n",
       "      <td>0.006925</td>\n",
       "      <td>2011-09-03</td>\n",
       "      <td>2011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>538</th>\n",
       "      <td>224972</td>\n",
       "      <td>The Mask You Live In</td>\n",
       "      <td>Jennifer Siebel Newsom</td>\n",
       "      <td>Documentary</td>\n",
       "      <td>88.0</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.9</td>\n",
       "      <td>0.114264</td>\n",
       "      <td>2015-01-01</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1200</th>\n",
       "      <td>374430</td>\n",
       "      <td>Black Mirror: White Christmas</td>\n",
       "      <td>Carl Tibbetts</td>\n",
       "      <td>Drama|Horror|Mystery|Science Fiction|Thriller</td>\n",
       "      <td>74.0</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.8</td>\n",
       "      <td>0.129531</td>\n",
       "      <td>2014-12-16</td>\n",
       "      <td>2014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2269</th>\n",
       "      <td>51299</td>\n",
       "      <td>Life Cycles</td>\n",
       "      <td>Derek Frankowski</td>\n",
       "      <td>Documentary</td>\n",
       "      <td>47.0</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.8</td>\n",
       "      <td>0.222293</td>\n",
       "      <td>2010-10-02</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6911</th>\n",
       "      <td>24970</td>\n",
       "      <td>Pink Floyd: Pulse</td>\n",
       "      <td>David Mallet</td>\n",
       "      <td>Music</td>\n",
       "      <td>145.0</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.7</td>\n",
       "      <td>0.212010</td>\n",
       "      <td>2006-07-09</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          id                          title                director  \\\n",
       "3894  125336  The Story of Film: An Odyssey            Mark Cousins   \n",
       "538   224972           The Mask You Live In  Jennifer Siebel Newsom   \n",
       "1200  374430  Black Mirror: White Christmas           Carl Tibbetts   \n",
       "2269   51299                    Life Cycles        Derek Frankowski   \n",
       "6911   24970              Pink Floyd: Pulse            David Mallet   \n",
       "\n",
       "                                              genre  runtime        budget  \\\n",
       "3894                                    Documentary    900.0  1.471114e+07   \n",
       "538                                     Documentary     88.0  1.471114e+07   \n",
       "1200  Drama|Horror|Mystery|Science Fiction|Thriller     74.0  1.471114e+07   \n",
       "2269                                    Documentary     47.0  1.471114e+07   \n",
       "6911                                          Music    145.0  1.471114e+07   \n",
       "\n",
       "           revenue        profit  rating  popularity release_date  year  \n",
       "3894  4.006558e+07  2.535444e+07     9.2    0.006925   2011-09-03  2011  \n",
       "538   4.006558e+07  2.535444e+07     8.9    0.114264   2015-01-01  2015  \n",
       "1200  4.006558e+07  2.535444e+07     8.8    0.129531   2014-12-16  2014  \n",
       "2269  4.006558e+07  2.535444e+07     8.8    0.222293   2010-10-02  2010  \n",
       "6911  4.006558e+07  2.535444e+07     8.7    0.212010   2006-07-09  2006  "
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# properties are associated with top 5 rated movies\n",
    "top20_rating.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>runtime</th>\n",
       "      <th>budget</th>\n",
       "      <th>revenue</th>\n",
       "      <th>profit</th>\n",
       "      <th>rating</th>\n",
       "      <th>popularity</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>20.000000</td>\n",
       "      <td>2.000000e+01</td>\n",
       "      <td>2.000000e+01</td>\n",
       "      <td>2.000000e+01</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>20.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>142.000000</td>\n",
       "      <td>1.401447e+07</td>\n",
       "      <td>3.772504e+07</td>\n",
       "      <td>2.371057e+07</td>\n",
       "      <td>8.525000</td>\n",
       "      <td>0.505593</td>\n",
       "      <td>2004.450000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>187.553501</td>\n",
       "      <td>4.550494e+06</td>\n",
       "      <td>8.140107e+06</td>\n",
       "      <td>7.293675e+06</td>\n",
       "      <td>0.235919</td>\n",
       "      <td>1.576753</td>\n",
       "      <td>11.166091</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.200000e+06</td>\n",
       "      <td>4.978922e+06</td>\n",
       "      <td>3.341469e+06</td>\n",
       "      <td>8.300000</td>\n",
       "      <td>0.004853</td>\n",
       "      <td>1981.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>70.000000</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.400000</td>\n",
       "      <td>0.094095</td>\n",
       "      <td>1994.750000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>97.000000</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.400000</td>\n",
       "      <td>0.159614</td>\n",
       "      <td>2010.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>139.000000</td>\n",
       "      <td>1.471114e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>2.535444e+07</td>\n",
       "      <td>8.550000</td>\n",
       "      <td>0.231870</td>\n",
       "      <td>2013.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>900.000000</td>\n",
       "      <td>2.500000e+07</td>\n",
       "      <td>4.006558e+07</td>\n",
       "      <td>3.606558e+07</td>\n",
       "      <td>9.200000</td>\n",
       "      <td>7.192039</td>\n",
       "      <td>2015.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          runtime        budget       revenue        profit     rating  \\\n",
       "count   20.000000  2.000000e+01  2.000000e+01  2.000000e+01  20.000000   \n",
       "mean   142.000000  1.401447e+07  3.772504e+07  2.371057e+07   8.525000   \n",
       "std    187.553501  4.550494e+06  8.140107e+06  7.293675e+06   0.235919   \n",
       "min      6.000000  1.200000e+06  4.978922e+06  3.341469e+06   8.300000   \n",
       "25%     70.000000  1.471114e+07  4.006558e+07  2.535444e+07   8.400000   \n",
       "50%     97.000000  1.471114e+07  4.006558e+07  2.535444e+07   8.400000   \n",
       "75%    139.000000  1.471114e+07  4.006558e+07  2.535444e+07   8.550000   \n",
       "max    900.000000  2.500000e+07  4.006558e+07  3.606558e+07   9.200000   \n",
       "\n",
       "       popularity         year  \n",
       "count   20.000000    20.000000  \n",
       "mean     0.505593  2004.450000  \n",
       "std      1.576753    11.166091  \n",
       "min      0.004853  1981.000000  \n",
       "25%      0.094095  1994.750000  \n",
       "50%      0.159614  2010.000000  \n",
       "75%      0.231870  2013.000000  \n",
       "max      7.192039  2015.000000  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# descriptive statistics associated to top 20 rated movies\n",
    "top20_rating.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3)Top 20 Profitable Movies?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sort data descending by 'profit' values and slicing the highest 20 movies\n",
    "top20_profit = movie_df.sort_values('profit', ascending=False)[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualizing the highest 20 profit movies\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.barplot(x='profit', y='title', data=top20_profit, palette=\"viridis\")\n",
    "plt.title(\"Top 20 Profitable Movies\")\n",
    "plt.xlabel(\"Profit\")\n",
    "plt.ylabel(\"Movie\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***The Top 5 Profitable Movies:*** <br>\n",
    "***1) Avatar with profit 2.544506 Billion.*** <br>\n",
    "***2) Star Wars: The Force Awakens with profit 1.868178 Billion.*** <br>\n",
    "***3) Titanic with profit 1.645034 Billion.*** <br>\n",
    "***4) Jurassic World with profit 1.363529 Billion.*** <br>\n",
    "***5) Furious 7 with profit 1.316249 Billion.***\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4)What Kinds of properties are associated with Top 20 Profitable Movies?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>title</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>runtime</th>\n",
       "      <th>budget</th>\n",
       "      <th>revenue</th>\n",
       "      <th>profit</th>\n",
       "      <th>rating</th>\n",
       "      <th>popularity</th>\n",
       "      <th>release_date</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1386</th>\n",
       "      <td>19995</td>\n",
       "      <td>Avatar</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Action|Adventure|Fantasy|Science Fiction</td>\n",
       "      <td>162.0</td>\n",
       "      <td>237000000.0</td>\n",
       "      <td>2.781506e+09</td>\n",
       "      <td>2.544506e+09</td>\n",
       "      <td>7.1</td>\n",
       "      <td>9.432768</td>\n",
       "      <td>2009-12-10</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>140607</td>\n",
       "      <td>Star Wars: The Force Awakens</td>\n",
       "      <td>J.J. Abrams</td>\n",
       "      <td>Action|Adventure|Science Fiction|Fantasy</td>\n",
       "      <td>136.0</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>2.068178e+09</td>\n",
       "      <td>1.868178e+09</td>\n",
       "      <td>7.5</td>\n",
       "      <td>11.173104</td>\n",
       "      <td>2015-12-15</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5231</th>\n",
       "      <td>597</td>\n",
       "      <td>Titanic</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Drama|Romance|Thriller</td>\n",
       "      <td>194.0</td>\n",
       "      <td>200000000.0</td>\n",
       "      <td>1.845034e+09</td>\n",
       "      <td>1.645034e+09</td>\n",
       "      <td>7.3</td>\n",
       "      <td>4.355219</td>\n",
       "      <td>1997-11-18</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>135397</td>\n",
       "      <td>Jurassic World</td>\n",
       "      <td>Colin Trevorrow</td>\n",
       "      <td>Action|Adventure|Science Fiction|Thriller</td>\n",
       "      <td>124.0</td>\n",
       "      <td>150000000.0</td>\n",
       "      <td>1.513529e+09</td>\n",
       "      <td>1.363529e+09</td>\n",
       "      <td>6.5</td>\n",
       "      <td>32.985763</td>\n",
       "      <td>2015-06-09</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>168259</td>\n",
       "      <td>Furious 7</td>\n",
       "      <td>James Wan</td>\n",
       "      <td>Action|Crime|Thriller</td>\n",
       "      <td>137.0</td>\n",
       "      <td>190000000.0</td>\n",
       "      <td>1.506249e+09</td>\n",
       "      <td>1.316249e+09</td>\n",
       "      <td>7.3</td>\n",
       "      <td>9.335014</td>\n",
       "      <td>2015-04-01</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          id                         title         director  \\\n",
       "1386   19995                        Avatar    James Cameron   \n",
       "3     140607  Star Wars: The Force Awakens      J.J. Abrams   \n",
       "5231     597                       Titanic    James Cameron   \n",
       "0     135397                Jurassic World  Colin Trevorrow   \n",
       "4     168259                     Furious 7        James Wan   \n",
       "\n",
       "                                          genre  runtime       budget  \\\n",
       "1386   Action|Adventure|Fantasy|Science Fiction    162.0  237000000.0   \n",
       "3      Action|Adventure|Science Fiction|Fantasy    136.0  200000000.0   \n",
       "5231                     Drama|Romance|Thriller    194.0  200000000.0   \n",
       "0     Action|Adventure|Science Fiction|Thriller    124.0  150000000.0   \n",
       "4                         Action|Crime|Thriller    137.0  190000000.0   \n",
       "\n",
       "           revenue        profit  rating  popularity release_date  year  \n",
       "1386  2.781506e+09  2.544506e+09     7.1    9.432768   2009-12-10  2009  \n",
       "3     2.068178e+09  1.868178e+09     7.5   11.173104   2015-12-15  2015  \n",
       "5231  1.845034e+09  1.645034e+09     7.3    4.355219   1997-11-18  1997  \n",
       "0     1.513529e+09  1.363529e+09     6.5   32.985763   2015-06-09  2015  \n",
       "4     1.506249e+09  1.316249e+09     7.3    9.335014   2015-04-01  2015  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# properties are associated with top 5 profitable movies\n",
    "top20_profit.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>runtime</th>\n",
       "      <th>budget</th>\n",
       "      <th>revenue</th>\n",
       "      <th>profit</th>\n",
       "      <th>rating</th>\n",
       "      <th>popularity</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>20.000000</td>\n",
       "      <td>2.000000e+01</td>\n",
       "      <td>2.000000e+01</td>\n",
       "      <td>2.000000e+01</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>20.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>136.650000</td>\n",
       "      <td>1.600500e+08</td>\n",
       "      <td>1.353347e+09</td>\n",
       "      <td>1.193297e+09</td>\n",
       "      <td>7.065000</td>\n",
       "      <td>7.036718</td>\n",
       "      <td>2008.700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>28.727898</td>\n",
       "      <td>6.710751e+07</td>\n",
       "      <td>4.476855e+08</td>\n",
       "      <td>4.180590e+08</td>\n",
       "      <td>0.560334</td>\n",
       "      <td>6.705487</td>\n",
       "      <td>7.101519</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>91.000000</td>\n",
       "      <td>2.200000e+07</td>\n",
       "      <td>9.201000e+08</td>\n",
       "      <td>8.514756e+08</td>\n",
       "      <td>5.600000</td>\n",
       "      <td>0.760503</td>\n",
       "      <td>1993.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>121.500000</td>\n",
       "      <td>1.172500e+08</td>\n",
       "      <td>1.096125e+09</td>\n",
       "      <td>9.051112e+08</td>\n",
       "      <td>6.800000</td>\n",
       "      <td>4.136691</td>\n",
       "      <td>2005.250000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>136.500000</td>\n",
       "      <td>1.925000e+08</td>\n",
       "      <td>1.186085e+09</td>\n",
       "      <td>1.083505e+09</td>\n",
       "      <td>7.250000</td>\n",
       "      <td>5.828121</td>\n",
       "      <td>2011.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>151.250000</td>\n",
       "      <td>2.000000e+08</td>\n",
       "      <td>1.508069e+09</td>\n",
       "      <td>1.303731e+09</td>\n",
       "      <td>7.425000</td>\n",
       "      <td>7.733681</td>\n",
       "      <td>2013.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>201.000000</td>\n",
       "      <td>2.800000e+08</td>\n",
       "      <td>2.781506e+09</td>\n",
       "      <td>2.544506e+09</td>\n",
       "      <td>7.900000</td>\n",
       "      <td>32.985763</td>\n",
       "      <td>2015.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          runtime        budget       revenue        profit     rating  \\\n",
       "count   20.000000  2.000000e+01  2.000000e+01  2.000000e+01  20.000000   \n",
       "mean   136.650000  1.600500e+08  1.353347e+09  1.193297e+09   7.065000   \n",
       "std     28.727898  6.710751e+07  4.476855e+08  4.180590e+08   0.560334   \n",
       "min     91.000000  2.200000e+07  9.201000e+08  8.514756e+08   5.600000   \n",
       "25%    121.500000  1.172500e+08  1.096125e+09  9.051112e+08   6.800000   \n",
       "50%    136.500000  1.925000e+08  1.186085e+09  1.083505e+09   7.250000   \n",
       "75%    151.250000  2.000000e+08  1.508069e+09  1.303731e+09   7.425000   \n",
       "max    201.000000  2.800000e+08  2.781506e+09  2.544506e+09   7.900000   \n",
       "\n",
       "       popularity         year  \n",
       "count   20.000000    20.000000  \n",
       "mean     7.036718  2008.700000  \n",
       "std      6.705487     7.101519  \n",
       "min      0.760503  1993.000000  \n",
       "25%      4.136691  2005.250000  \n",
       "50%      5.828121  2011.500000  \n",
       "75%      7.733681  2013.500000  \n",
       "max     32.985763  2015.000000  "
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# descriptive statistics associated to top 20 profitable movies\n",
    "top20_profit.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5)Top 10 Directors by Number of Released Movies?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# count the number of released movies for each director, and sort the data descending by number of movies\n",
    "# slicing the top 10 directors\n",
    "directors = movie_df['director'].value_counts().sort_values(ascending=False)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualizing the top 10 directors\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.barplot(x=directors.values, y=directors.index, palette=\"viridis\")\n",
    "plt.title(\"Top 10 Directors by Number of Released Movies\")\n",
    "plt.xlabel(\"Number of Movies\")\n",
    "plt.ylabel('Director')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***Top 5 Directors:***<br>\n",
    "***1) Woody Allen directed 45 Movies.***<br>\n",
    "***2) Clint Eastwood directed 34 Movies.***<br>\n",
    "***3) Steven Spielberg directed 29 Movies.***<br>\n",
    "***4) Martin Scorsese directed 29 Movies.***<br>\n",
    "***5) Ridley Scott directed 23 Movies.***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6)What is The Distribution of Runtime?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualizing the distribution of runtime values.\n",
    "plt.figure(figsize=(12,4))\n",
    "sns.histplot(x=movie_df['runtime'], binrange=(0,220), binwidth=10)\n",
    "plt.title(\"Distribution of Runtime\")\n",
    "plt.xlabel(\"Runtime\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualizing the distribution of runtime values without outliers.\n",
    "plt.figure(figsize=(12,4))\n",
    "sns.boxplot(x=movie_df['runtime'], showfliers=False)\n",
    "plt.title(\"Distribution of Runtime\")\n",
    "plt.xlabel(\"Runtime\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Minimum Runtime is 58 minutes.***<br>\n",
    "* ***Maximum Runtime is 142 minutes.***<br>\n",
    "* ***50% of Movies have Runtime between 90 and 111 minutes.***<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7)What is The Correlations Between Movies Properties?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "# calculate the correlation between movies properties\n",
    "corr_df = movie_df[['runtime', 'budget', 'revenue', 'profit', 'rating', 'popularity']].corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between movies properties\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.heatmap(data=corr_df, annot=True, cmap=\"magma\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Rating and Popularity is 0.21, it is a Weak Positive Correlation.*** <br>\n",
    "* ***Correlation between Rating and Runtime is 0.16, it is a Weak Positive Correlation.*** <br>\n",
    "* ***Correlation between Profit and Runtime is 0.12, it is a Weak Positive Correlation.*** <br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between Budget and Profit\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.regplot(x='budget', y='profit', data=movie_df)\n",
    "plt.title(\"Profit vs Budget\")\n",
    "plt.xlabel(\"Budget\")\n",
    "plt.ylabel(\"Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Profit and Budget is 0.54, it is a Moderate Positive Correlation.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between Budget and Revenue\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.regplot(x='budget', y='revenue', data=movie_df)\n",
    "plt.title(\"Revenue vs Budget\")\n",
    "plt.xlabel(\"Budget\")\n",
    "plt.ylabel(\"Revenue\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Revenue and Budget is 0.71, it is a Moderate Positive Correlation.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between Revenue and Profit\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.regplot(x='revenue', y='profit', data=movie_df)\n",
    "plt.title(\"Profit vs Revenue\")\n",
    "plt.xlabel(\"Revenue\")\n",
    "plt.ylabel(\"Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Profit and Revenue is 0.98, it is a Strong Positive Correlation.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between Popularity and Budget\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.regplot(x='budget', y='popularity', data=movie_df)\n",
    "plt.title(\"Budget vs Popularity\")\n",
    "plt.xlabel(\"Budget\")\n",
    "plt.ylabel(\"Popularity\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Popularity and Budget is 0.52, it is a Moderate Positive Correlation.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between Popularity and Profit\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.regplot(x='popularity', y='profit', data=movie_df)\n",
    "plt.title(\"Profit vs Popularity\")\n",
    "plt.xlabel(\"Popularity\")\n",
    "plt.ylabel(\"Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Profit and Popularity is 0.6, it is a Moderate Positive Correlation.***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the correlation between Popularity and Runtime\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.regplot(x='runtime', y='popularity', data=movie_df)\n",
    "plt.title(\"Popularity vs Runtime\")\n",
    "plt.xlabel(\"Runtime\")\n",
    "plt.ylabel(\"Popularity\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Correlation between Popularity and Runtime is 0.14, it is a Weak Positive Correlation.***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8)How Movies Profit changed over Years?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AMiBkAgBUTTSR1dh0ptrLAAAAAFAGhEwAgKpJZPJK5QrK5gvVXgoAAACAVSJkAgBUTTyTkyRNp3NVXgkAAACA1SJkAgBUTTyTlyRNp/NVXgkAAACA1SJkAgBUTSlkmqKSCQAAAKh7hEwAgKpJEDIBAAAADYOQCQBQFcViUQlmMgEAAAANg5AJAFAV6VxB+aL98VSKkAkAAACod4RMAICqKM1jkmiXAwAAABoBIRMAoCpmh0y0ywEAAAD1j5AJAFAVpXlMkjSVzi9yJAAAAIB64K/kyYwxL5d0u6TkrIu/alnW6+c59k2S3idpnaQHJb3VsqwnKrJQAIDraJcDAAAAGktFQyZJV0q61bKs1y52kDHmBZJukfQSSQ9LuknSV4wxF1mWVXR9lQAA15VCJq+HdjkAAACgEVS6Xe5KSQ8s4bg3S/o3y7J+ZllWWnbItE7SC91cHACgchJOyNQTDrK7HAAAANAAKh0yPUPSi40xg8aYI8aYfzTGrJ3nuIslPV76xLKsvKSDknZXaJ0AAJfFnZlM69pbaJcDAAAAGkDF2uWMMWskPSHpq5K+KGmtpC9I+pKk6+Yc3i4pMeeyhKS25ZyzuzuyorXWot7e9movAXANz+/m5AnY/wVt6Q3rF4Oxhn0eNOrXBZTwHEcj4/mNRsdzHOVWsZDJsqxJSS+YdVHcGPN/Jd1vjGm3LGtq9nWSWufcRZukU8s55/j4tAqF+h/h1NvbrtHRqXMfCNQhnt/N60QsIY+kNQGvJpOZhnwe8PxGo+M5jkbG8xuNjuc4VsLr9Sxa0FPJSiYje9bSu532N0lqkVSQlJlz+GOSds26rU/STs1qoQMA1LdEJq+2oE/tIb+S2YJyhaL8Xk+1lwUAAABghSq5u1xU0u9ImjLGfFTSekmflPR5Z7j3bJ+XdKsx5t9lDwq/SVJM0o8qt1wAgJvi6ZzCTsgk2TvMdbYGqrwqAAAAACtVscHflmWNSvoVSS+SNCbpQdkB0u8bY7YYY6aNMXudY78j6f9I+pxz7NWSrrcsK1up9QIA3JXI5hUO+tXecjpkAgAAAFC/KlnJJMuyfipp7zxXDUuKzDn2c7JDJgBAA4o77XIRp5KJHeYAAACA+laxSiYAAGaLp/NntMtNpQiZAAAAgHpGyAQAqIpENjcz+FuiXQ4AAACod4RMAICqiKfzCof8ioR8kmiXAwAAAOodIRMAoCoS2bzCgdkzmfJVXhEAAACA1SBkAgBUXLFYVDydUzjkU1vQJ6+HSiYAAACg3hEyAQAqLp0rKF+U2gI+eT0eRUJ+TTP4GwAAAKhrhEwAgIpLZO3WuLag3SoXCfmpZAIAAADqHCETAKDi4s78pdLQ73ZCJgAAAKDuETIBACoukXEqmQKlkMmnaUImAAAAoK4RMgEAKm46YwdKYaeSiXY5AAAAoP4RMgEAKm6mksmZydQe8mvaaaEDAAAAUJ8ImQAAFRd3QqZw0GmXa/HTLgcAAADUOUImAEDFJUrtcsHT7XLxTF65QrGaywIAAACwCoRMAICKi8+0y53eXU6S4lQzAQAAAHWLkAkAUHHxTF4eSa2BM0Mmhn8DAAAA9YuQCQBQcYlMXm1Bn7wejyS7XU4Sc5kAAACAOkbIBACouHgmNzOPSZIiIftjKpkAAACA+kXIBACouFIlU8npdrl8tZYEAAAAYJUImQAAFTedySsc9M983t7itMulqGQCAAAA6hUhEwCg4hauZCJkAgAAAOoVIRMAoOISmfwZM5nagj55RMgEAAAA1DNCJgBAxc0d/O31eBQJ+dldDgAAAKhjhEwAgIqz2+X8Z1zWHvJRyQQAAADUMUImAEBFFYtFZ/C374zLIyG/phj8DQAAANQtQiYAQEVl8kXlC8UzBn9L9g5ztMsBAAAA9YuQCQBQUfGMHSTNrWRqD/k1nclXY0kAAAAAyoCQCQBQUQknSArPmclEuxwAAABQ3wiZAAAVFXdCprPa5UJ+Bn8DAAAAdYyQCQBQUYu1y8UzeeULxWosCwAAAMAqETIBACrqdLvcnN3lWuz2uVIIBQAAAKC+EDIBACoqnl5gJpMTOtEyBwAAANQnQiYAQEXFswvPZJKk6RQ7zAEAAAD1iJAJAFBRiYUGfzvtclQyAQAAAPWJkAkAUFFxJ0SaGzJFQoRMAAAAQD0jZAIAVFQim1dbwCevx3PG5e2ETAAAAEBdI2QCAFRUPJ1XOOQ76/KZmUyETAAAAEBdImQCAFRUPGNXMs0VDvnkkTSVImQCAAAA6hEhEwCgouKZnMJO1dJsXo9H4ZCPdjkAAACgThEyAQAqKpHJnzX0u6Q95KddDgAAAKhThEwAgIpKZPMKz9MuJ9k7zE2n8xVeEQAAAIByIGQCAFRUPJ2bd/C3ZFcy0S4HAAAA1CdCJgBARS00+FsiZAIAAADqGSETAKCi4pn8vIO/JSnSwkwmAAAAoF4RMgEAKiaTKyhXKCq8yOBvKpkAAACA+kTIBAComHjGDpAWCpkiQZ/i6bwKxWIllwUAAACgDAiZAAAVE8/YO8e1LVTJ1OJXUVKcHeYAAADQIO7cf0Kf+9lwtZdREYRMAICKScyETAvMZHJmNdEyBwAAgEbx1X3HdO+haLWXURGETACAiilVMi02k0kiZAIAAEDjGIgmtb2rrdrLqAhCJgBAxSSWGDKxwxwAAAAawUQiq4lkVtu6CZkAACir04O/52+Xm6lkShEyAQAAoP4NRBOSRCUTAADldq7B35EW+3La5QAAANAIZkImKpkAACgvZjIBAACgmQyOJ9Ti92p9R6jaS6kIQiYAQMUknHa5hSqZSm10zGQCAABAIxiIJrS1q01ej6faS6kIQiYAQMXEM3m1BrwL/ifr83oUDvo0lc5XeGUAAABA+Q2MJ7Stq7Xay6gYQiYAQMXEM/kFh36XtIf8VDIBAACg7iUyeZ2YSjfNPCaJkAkAUEGJTH7BVrmS9hZCJgAAANS/wSbbWU4iZAIAVFA8k1tw6HdJJORn8DcAAADqXilk2kYlEwAA5ZfI5M8ZMrWH/JpKETIBADDbzwZj+pP/eoJqX6CODIwn5PNImzuZyQQAQNktZSZTJOTjF2gAmOOhkUl9+Rcj1V4GqmRsOq333rFfdx8c003fOqBCsVjtJQFYgsFoQps6WxXwNU/00jxfKQCg6uJLmckU8rO7HADMcdvDR/XX9wyoSLjQdIrFom6+66BSuYJe94yNuudQVP9033C1lwVgCQbGE0019FsiZAIAVNBSBn9HnN3leJcWAE4bjiWVyReZWdeE/nPfMf1kIKa3P2+H/vD5O3Tdxev0D/cN6YdPjVd7aQAWkc0XNDKRJGQCAMAt9uDvxdvl2kN+FWUHUgAAu5JlOGYPjx2dzlR5NaikwfGEPvXDQ7pq21q9+rIN8ng8evcLz9eF6yL6wJ0HZoYKA6g9hyeSyhelbU20s5xEyAQAqJBMrqBsvrikwd+SeLceAByj0xklswVJ0hghU9PI5gu66c4DavF7ddNLdsrj8UiSWgI+feJlFyng8+pdX39C8Qz/XwK1aHDcDoGpZAIAwAWlyqRzhUyRFidkYoc5AJAkDcVOV6uMxQmZmsVn7xvS/hPTes+Ld6onEjrjuvUdLfro9RdqOJbQn95p0WIO1KABp9KQSiYAAFwQz9qh0bkHf9vXU8kEALbhWHLm49HpdBVXgkrZd2RSn7//sK6/eJ2uuaBn3mOu3NKptz9/h37w1Li+cP/hCq8QwLkMjCe0vj2k1sDiv/s2GkImAEBFxNNLq2QqtctNEzIBgCQ7ZAr5vQoHfVQyNYF4Jqeb7rS0vqNFf/Q/zlv02NdesVEv2dWrv713UD8eiFZohQCWYmA8oW1N1ionETIBACrkdLvc4oO/I8xkAoAzDEWT2rK2Vb2RICFTE/iL7z2t46dS+uC1Zub/xIV4PB6978U7dX5vWO+/44AOz6p6A1A9hWJRQ7GktjdZq5xEyAQAqJB41g6Zzt0uVwqZ2F0OACRpOJbQ1rWt6gkHGfzd4L735Jj+6/ETesOzNmvPxjVLuk1LwKdPvvwieT3SO7/xOLuzAjXg2KmU0rkClUwAALgl7lQmhUOLh0xh2uUAYEY2X9DRyZS2dLWpJxLSKJVMDWtsOq2P3HVQu/oi+p2rti7rthvXtOrD112ogfGEbv72QRUZBA5U1eC4XVVIJRMAAC4pvbPado7hh36vR+Ggj5AJACQdmUgpX9RMJdN4PEOA0ICKxaJuvuugUrmCbn7pLgV8y3+Z9uxta/X7e7fr7oOj+tIDIy6sEsBSlXaWI2QCAMAlcSdkOtd8idIxUylCJgAYitkvVEozmdK5AjPrGtB/7jumnwzE9Pbn7VhVe81vXrlJv7yzV5+5Z0A/G4yVcYUAlmNwPKHO1oA62wLVXkrFETIBACqiVMm0lG1c20N+XkQBgOyd5SQ7ZOoJByWJ4d8NZnA8oU/98JCu2rZWr75sw6ruy+Px6KZf2ant3W167x37dWSSQeBANQxEE9rehPOYJEImAECFTGdyavF75fN6znlsJES7HABI9s5ya1sD6mgJqCdih0yjDP9uGNl8QTfdeUAtfq9ueslOeTzn/j/yXFoDPn3yZRerUJTe+fUnlMoyCByopGKxqMFooilb5SRCJgBAhSQy+Zmh3ucSCfnZXQ4A5Ows19UqSeoNhyRJ41QyNYzP3jek/Sem9Z4X71RPJFS2+928tlU3X7dLT43G9aG7GAQOVFI0kdWpVK4pd5aTCJkAABWSyOQVDp67VU6iXQ4ASoZiSW1Za4dMVDI1ln1HJvX5+w/rVy9ep2su6Cn7/T93e5fedvU2ffvAqP7twSNlv38A8xucGfrdWuWVVAchEwCgIuLLDJlolwPQ7KbTOUUTWW1da78b3hrwKRz0MZOpAUync7rpTkvrO1r0R9ec59p53viszfofF/To0z88pAeGJ1w7D4DTBsbtkGkb7XIAALgnkcmpbYkhU6TFDpkKlPcDaGJDs4Z+l/SEgxqbTldrSSiTW77/tI6fSumD1xqFg0trJV8Jj8ejD/zKTm1Z26Y/+eZ+HT+Vcu1cAGwD4wm1BXxa116+Fth6QsgEAKiI6Ux+yb9It4f8KhRP70gHAM1oyGm52DKr5aI3EqRdrs5978kx/dfjJ/SGZ23Wno1rXD9fOOjXJ19+kbL5gt71DQaBA24biNqz9MoxyL8eETIBACoikckvuZKpPWQfR8scgGY2HEvK65E2rTkdMnWHg7TL1bGx6bQ+ctdBXbguot+5amvFzru1q003v3SX9p+Y1sfufpJB4ICLBqMJbW/Sod8SIRMAoEKWO/hbEsO/ATS1oWhSGzpaFPSf/pW9NxLSWDxDSFCHisWiPvjtg0rlCvrgtbsU8FX2pdje87r1lqu26o4nTuq2h49W9NxAs5hO5zQ6nWnaeUwSIRMAoELimdySQ6YIIRMAaDhmt1zM1hMOKp0raDpNy1O9ue3hY7pvMKa3P29H1bY2/+2rtmjvji7d8oND+sVhBoED5XZ6Z7nmDZncmzK3AGOMT9J3JQ1alvXGBY4Zl9QiafZbNOssy4q7v0IAQLll8wVl8sWlt8u1OCFTihdRAJpTsVjUcCypKzZ3nnF5byQoSRqNp2d+VqL2DY4n9OkfHdJV29bq1ZdtqNo6vB6PPvjSXfqtLz+kd379Cf3ja/bovJ5w1dYDNJrSznK0y1XWByTtXehKY8x5ktZI6rUsKzLrDwETANSpuDPAezmDv+3bUckEoDmdnM4olSto69ozK5m6w3bINMbw77qRzRd0050H1OL36qaX7Kz6MOBIyK9PvfJSBf1eveP2x3Ryit0KgXIZjCYU8Hm0sbP13Ac3qIqGTMaYayS9WtJtixx2paT9lmUlKrMqAIDbSrvELbWSaaZdLkXIBKA5DcecneXmhEy9EXtLbIZ/14/P/nRY+09M6z0v3qmeSG1sad6/pkWfeuUlmkrl9I7bH2OjDaBMBsYT2tzZKr+3OXeWkyoYMhlj+iT9s6TXSZpe5NArJfmNMfcbY8aMMT8yxjynIosEALiiVJEUYSYTACzJUDQp6eyQqYdKprpSLBZ160NH9MKdPbrmgp5qL+cMpi+iT7zsIg1EE3rnN55QNl+o9pKAuge2cFYAACAASURBVNfsO8tJFZrJZIzxSvqSpFssy3rIGLPY4WlJP5f0Xkmjkt4m6dvGmN2WZQ0s57zd3ZEVrrj29Pa2V3sJgGt4fje+oXhWkrSht33J3+9w0Ke811v3z496Xz9wLjzH3TGayqs14NPF23vknfOOeCTk13ShyGNfAat9jEen0ppO57XX9NXk9+v63nZlfF79n1v36eM/OKS/vPGys55vaGy1+LysV6lsXkcmU3rFFZua+nGt1LTAP5GUsizr0+c60LKs98256C+NMb8t6TpJn1nOScfHp1Uo1P/2rr297Rodnar2MgBX8PxuDkdO2t/jbDKz5O93OOjTyYlEXT8/eH6j0fEcd8+BoxPa1Nmi8fGzGwC62gI6PBrnsXdZOZ7fD41MSpK6gt6a/X7t3bxGv3f1Nv31vYPq8Hv19ufvqPaSUCH8DC+vp0bjKhSlvhZ/Qz+uXq9n0YKeSoVMr5fUb4wp7ZPZKsljjLnCsqzdsw80xrxf0ncsy/rprItDkpKVWSoAoNxOD/5eWrucZL9TP8UW3QCa1HAsqV19878T3hsJaizOsOZ6UJqttbnGhwC/4VmbdWIqrS8+MKK+9pBec8XGai8JqDuHxu29yrbRLuc+y7J2zf7cGPNZSX7Lst44z+G7JF1vjLlBUlTSu2TvNvdVt9cJAHBHwpnJtJyQqT3kZyYTgKaUzRd0dDKlF+/qm/f6nnBQjx9v3HfJG8lwLCW/16MNHS3VXsqiPB6P/via8zUWz+iW7z+tvkhQ1+zsrfaygLoyGE3II521K2izqejucvMxxuw1xkwbY7Y4F71N0j5JD0kal3SNpBdZlhWt1hoBAKtzupJp6e9ttLf4Nc3ucgCa0MhESoXiwi9UesIhjU5nVCzW/1iIRjccs3ea8tXBnCOf16ObX7pLl/Z36P3fOjDT6gdgaQbGk9qwpkUtgaW/qdqIKtUudwbLst486+N7JEVmfX5K0lucPwCABlAKmVqX2S43MJ5wa0kAULNKLVYLhUy9kaDSuYKm03m1t1Tl13ks0XAsedYOgbWsJeDTX9xwsd78bw/rj7/+uP7xNXu0oztc7WWhSXz/yTFdtL5d69pD1V7KigxGE9re1dytclINVDIBABpfPJ1Xi98r/zLeyW0P+TVNuxyAJjQUtUeRblk7/4uVnnBQkjQWz1RsTVi+fKGokYn6CpkkqbM1oE+/6lIFfF694yuPaXSa+V9w36HxuN71jSf0+Z8NV3spK5IvFDUcS2h7k89jkgiZAAAVkMjm1LaMKiZJag/5NJXO0Q4CoOkMx5LqagssWKXUE7FDJl7817YTU2ll8sW6C5kkqX9Niz71ikt0KpXTO25/jDd94LrbHjoqSXrk6Kkqr2Rljk6mlMkXqWQSIRMAoAISmfyyhn5LdrtcoSglsuwwB6C5DMUSiwYTVDLVh1Lb45au+guZJMmsi+jjL7tQh8YTetc3nlA2X6j2ktCgptM53fHECQV9Hj01Flc8U3+h5kDU/vfe7DvLSYRMAIAKiGfyyxr6LdntcpI0xfBvAE1mOJbU1gVa5aTTlUxj04RMtWw4tnjbYz34pW1dev+Ld+rnwxP64LcPqkB1MVzwX4+fUDJb0Juv2qpCUXrsWP3tnjnozBGlkomQCQBQAfFMfvntck6byHSaSiYAzWMqlVM0kV20kikc9Kst4KOSqcYNx5IKB33qbgtUeymrct3F6/S7V2/Tf+8/qb++Z6Day0GDKRSLuu2hI7p0Q4defVm/PJIeOVJ/LXMD0YS6w0E2Y1CVdpcDADSXeDq37J1CIqVKJuZAAGgiMzvLnaPFqicS1CiVTDVtyNlZzuNZ+qYXteqNz9qsE1Np/cvPR7SuPaQbL99Y7SWhQdw3GNPhiZTe+pxtioT8Or83XJdzmeyd5eqzNbbcqGQCALgukV1BJVOoVMlEyASgeQwtscWqJxzUeJzB37VsOFZ/O8stxOPx6J3XnK/nn9etP//e0/rek2PVXhIaxG0PHVV3OKhrdvZIknb3d+jRY6eUL9RPa2axWNTAeELbaJWTRMgEAKiAeHoVM5kImQA0kaFYUl6PtKmzZdHjeiNBjdIuV7MyuYKOTaYaJmSSJJ/Xow9dt0uXbGjX++/Yr4dHJqu9JNS5w7GkfjIQ1at2b1DAZ0cTu/s7FM/k9fRYvMqrW7qxeEbxTF7bGfotiZAJAFABiezyd5ejkglAMxqOJtW/pmXmBddCusNBjU1nVGQQc00amUyqqPoe+j2floBPt9xwidZ3tOiPvv64Bpxhx8BK3PbwUXm9Hr1i9/qZy/Zs7JCkumqZO+T8O6CSyUbIBABwVS5fUDpXWHa7XCRkH08lE4BmMhRLLKn6pTcSUipXUDzD5gi1aDhaantsnEqmks62gD79qkvk93r09q88qtFp2jaxfIlMXt947Lh+eWePeiKn53b2d7SoOxzUvjoKmWZ2lqOSSRIhEwDAZaUXQOHQ8trl/D6vWvxeTaV4AQWgORSKRR2OJbV1CdUvPeGgJGmM4d81aTjWuCGTJG1c06pPvfISnUrl9H+/8US1l4M69K0nTiieyZ81RN7j8WhPf0ddVTINRBMKB30zP5ebHSETAMBViawTMgWWV8kkSe0tftrlADSN0emMUrnCEiuZ7Bczowz/rknDsaS62gIzO6U2ol3r2vXGZ2/Wo8emNJHMVns5qCPFYlG3PnxUF66L6NIN7Wddv7u/Q0cnUxqrkyq5wWhCO7rbGmInyXIgZAIAuCqeLlUyLT9kioT8tMsBaBpDUbvlYusStsEuvWM+SiVTTRpeYttjvbtovR0QHDw5XeWVoJ48cHhCA+MJvfqy/nmDmXqby8TOcmciZAIAuCqesUOi5c5kkuzh34RMAJrF6RarJbTLOZVM4+wwV5OGYsmmCJlMb0SSdHC0fnYCQ/Xd+tBRdbYG9OJdffNeb/oiCvm9dTGX6VQqq2giyzymWQiZAACuKs1kaltJu1yIdjkAzWMollSL36u+yLnneoSDfrUFfFQy1aDpdE7RRLbhdpabT2dbQH2RoCwqmbBEx06l9KOnx3XDpesV8s8fRwR8Xl20LlIXlUwD7Cx3FkImAICrEisc/C3ZO8xRyQSgWZRarJY616MnEtQYlUw15/BEYw/9nmtnX4R2OSzZfz58VJL0qj0bFj1u98Y1OnBiWqlsbW8AMxhlZ7m5CJkAAK6aCZlW2i6XImQC0ByGosllVb/0hIN1Mxi3mQxHmytkMn0RDUUTNR8GoPpS2by+/uhxPf/8Hq3vaFn02N39HcoVinrixFSFVrcyA+NJBX0ebTjH19NMCJkAAK6admYyrShkcnaXKxaL5V4WANSUTK6gY6dSSxr6XdITppKpFg3HkvJI2tTZHCHTzr6I8kXp6THmMmFxdx0Y1WQqp1+/vP+cx+7e4Az/PlLbLXOD0YS2drXJ52VnuRJCJgCAq0qVTG3B5bfLtYf8yhelZLZQ7mUBQE05MplSobi86peeSFCj0xmC+BozFEtoQ0dowXkzjcb0hSVJFsO/sYhisaj/eOiIzutp0xWb1pzz+M62gLauba354d8DUXaWm6s5fvIBAKomnskr5PfKv4J3eCLOHCfmMgFodEPOXI+ty3ix0hMOKpUrzGywgNowHFte22O96+9oUSTkYy4TFrXvyCkdHI3rxss3Lnnu3J6NHXr06KmaDdJT2byOTaa0nZDpDIRMAABXJTL5FbXKSXYlkyR2mAPQ8IZj9hyfrcuoZOqNhCRJY+wwVzOKxaITMjVHq5wkeTwe7exl+DcWd+vDR9Ue8uvaC/uWfJvd/R2aTOU05Mw5qzVD0aSKkrYx9PsMhEwAAFfFMzm1ETIBwKKGYgl1tQVmKjiXoicclCTmMtWQaCKreCbfVCGTZA//fnI0rnyhNitOUF2j02l978kx/eol69QaWPrvhHv67ba6R2q0ZW6AneXmRcgEAHBVPJNXeAXzmCQp0kK7HIDmMBxLLquKSbJnMknSaJwd5mpFqSJtyzIGuDeCnX1hpXIFHY7VZsUJqusr+46pUCjq1Zede+D3bFu6WrWmxa99RyddWtnqDEQT8nqkLU0y5H+pCJkAAK5KZPIrrmSKOLcjZALQ6Iaiy5/jM1PJRLtczRiO2ZUNzVjJJEkWLXOYI5Mr6KuPHNNzd3Qte8dFr8ejS/s7tK9Gd5gbHE9oU2ergk0y5H+peDQAAK6Kr2YmU6mSKcVQWwCN61Qqq1gyq63LrH4JB31qDXhpl6shw7GkAj6P1re3VHspFbW9q00Bn0cHRwmZcKa7D44qmsjqxsuXV8VUsqe/Q0OxpCYS2TKvbPXYWW5+hEwAAFclMrkVh0yRIDOZADS+mRarZVa/eDwe9YSDGqWSqWYMx5La1Nkq3wp2VK1nfp9X53WHqWTCWW57+Ki2rG3Vs7euXdHtd2/skCQ9cqy2qplyhaIOx5KETPMgZAIAuGo1M5mCfq9Cfi/tcgAa2umd5Zb/YqUnEqKSqYYMrWC2VqPY2ReWdTJes9vNo/IePz6lx45N6cbL+uX1rCx4vWhdu3xeT80N/x6ZSCpXKGp7d3P+e18MIRMAwFXxVcxkkuwd5giZADSyoVhSPo+0sXP5LVa94aDGphn8XQvyhaJGJpJNN4+pxPRFNJHMUlmHGbc+dERtAZ+uu3jdiu+jJeDTrr6IHjlSW8O/B8edneWoZDoLIRMAwDW5QlHpXGHVIRPtcgAa2XA0of41LQr4lv+reU8kqLF4huqRGnB8KqVsvtjUIZPE8G/YoomMvmON6rqL1ykSWllFe8mejR164sS0svlCmVa3egNRO2TaSsh0FkImAIBrEhk7HFrpTCZJioT8mkoRMgFoXEOx5e8sV9ITDiqZLSieYYOEaiu1PW5u0pDp/N6wPBLDvyFJ+uojx5TNF3XjZSsb+D3b7v4OpXOFmgowB6MJ9UWCqw7QGhEhEwDANQnnRc9qQqb2Fh/tcgAaVqFY1HBs5S1WPZGgJDGXqQYMR0sD3JuzsiEc9Gvz2lZZJ+PVXgqqLJcv6PZ9x/TsrZ3a1r36fw+7++3h3/uO1M5cpoFxdpZbCCETAMA10zMh08rf5aFdDkAjOzmVVjpX0NaulYVMveGQJGmMOThVd3giqXDQp+62QLWXUjU7e8M6WEPVJqiOHzw1rpPTGd14+cay3F9vJKT+jlDNDP8uFIsajCa0vQwBWiMiZAIAuKZUybSamUyRkF9TadpAADSmoVip+mWFlUxhKplqxZBTkeZZ4S5ajWBnX0RHJlO8OeSSp8fi+l+37qv5f++3PnRE/R0hPXd7V9nuc/fGNdp39FRNzJ87OZVWMlsgZFoAIRMAwDXxMsxkKu0uVwu/VABAuZXm+Gxd6Uwmp11ulB3mqm41bY+NYifDv131zcdP6BeHJ/W5nw5XeykLOnhyWg8dOaVfu6xfPm/5Atc9/R0aj2d09FSqbPe5UqWh37TLzY+QCQDgmkSZ2uXyhaJSudrZUQRAbcrlCyrUWSA9HEuqNeBVrxMWLVc46FOL31uVyoaP3/2k3v6VRyt+3lqUyRV0bDLV9CFTaYe5g6PMZXLDvYfGJUm3P3JMx2ogbJnPrQ8fVcjv1csuWV/W+62luUwD43bIRCXT/AiZAACuiZejXa7FDqgovQdwLq/74oP6x58MVXsZyzIUTWjL2rYVt1h5PB71RoJVmcn00JFJPTQyWXfBnhtGJpMqqnmHfpf0hIPqagtQyeSCw7GkBqNJ/c9nbpLXI/3TfbVXzTSZzOq/95/UtRf2aU1reWeTndcTVjjoq4m5TIPRhNa0+LW2zF9joyBkAgC4Jl6O3eWcrWHZYQ7AYuKZnAbGE7p/eKLaS1mWcrRY9YSDFa9kyhfsXfFSuULNVlRU0umd5Zq7kkmyq5kY/l1+9zhVTK/YvUGv3NOvbz5+fKbdtlZ847HjSucKuvHy/rLft8/r0SUb2msjZHJ2lmvm+WuLIWQCALgmUYaZTJGQfdupFCETgIWNTNhBx8GT08oX6qOyJuMENKsOmSKhiodMx06llM3bj3OpdaSZDa9ygHsjMX0RHRpPKEObe1ndeyiq7d1t2tTZqjc+a7MCPq/+4SeD1V7WjHyhqP98+Kgu37RGF/RGXDnHnv41emo0XvXq9oFoUttolVsQIRMAwDXxdF4hv1d+38r/uylVMk2zwxyARRyZsF/kp3IFDcXqI/QYmUyqUJS2dpWhkqnC7XKD0dOPMSGTHTJ1tQUUCa18BmGj2NkXUb5Q5HlRRtPpnB4cmdTeHd2SpO5wUL9+xUbddWBUT43Vxvyrew+N6+iptH7dhSqmkt39HSpKeuxY9aqZJhJZTSSz2s7Q7wURMgEAXJPI5tUWWHkVk6SZX9hplwOwmMMTp1u2Dpyoj1adoZkWq9W9WOmNBJXI5md29KyEQWft4aBPTxMmaDiW0FaqmCSdHv7NXKby+elgTPlCUXt3dM1c9vorN6kt6NPf/3iwegub5daHjqovEtTzz+9x7RwXb2iX11Pd4d8zO8tRybQgQiYAgGum07lVDf2WmMkEYGlGJpJa0+JXyO+tm5Cp1GK12nCiO2zvTDdawWqmwWhCXW0BXbS+nYoVSUOxZNMP/S7Z1NmitoBPB0fr499hPbj30LjWtPh1ibPDmiStaQ3oN67cpB88Na4njk9VcXWamYf3qj398nvdm1MUCfl1Xk+4qnOZSiETlUwLI2QCALgmkcmvah6TdLqSqdr99wBq28iE/SJ/Z29YB+qkgmI4lihLi1VvxA6Zxis4l2koalfu7Ohu08B4vKl3mJtO5xRNZJnH5PB6PLqgN0wlU5nkC0X9eCCmq7Z3nRXgvPaKjVrT4tffVbma6daHjijg8+iG3etdP9ee/g49dmxKuSrN3hscT6jF79X6jlBVzl8PCJkAAK5JZFcfMoX8XoX8XgZ/A1jUyERKmzpbZna2qofQYyia1NYyvBveG7Zf7FS2ksle+47uNiWzBZ2YSlfs3LWGod9n29kX0cGTzR0+lsvjx6c0kcye0SpXEgn59YZnbdZ9gzE9PDJZhdXZIesdT5zQi02vutqCrp9vz8Y1SmTzerpKs6gGnJ3lvOwstyBCJgCAa+LpvMJlGIIaCflplwOwoHTODjk2d7bqwnXtimfyOlxjW3vPZziWLEsw0eNUMlVqh7nS4NttXW3a3h2WJB1q4pa5mZBplQPcG4npCyuRzevIrFlpWJl7D43L55Gu2nZ2yCRJr76sX93hoP7mx4MqViHU+9IDI0pmC3r15Rsrcr7dTstgteYyDUQTzGM6B0ImAIBryjH4W5LaQz7a5QAs6OhkSkVJm9a2yKyzhw7X+lymU6msYslsWYZFh4M+tfi9Gp2uTDVRafc+O2SyX2wdqpEdrqphOJaQR9KmNYRMJTsZ/l029zwd1WWb1qi9Zf437VoCPr3p2Zv10Mik7h+aqOjafnF4Qp/72bCuvbBPF69vr8g5N3SE1BsJ6pGjla/cSmTyOjGVZh7TORAyAQBcM53OKRwqR8hEJROAhY1M2JUkm9a06rzuNgV8npqfy3S6xWr1L1Y8Ho96IsGKzWQq7Yq3tatVna0BdbUFmnr493AsqQ0dIQX9vLQqOa87LJ/Xw/DvVTp2KqWnxuK6ekf3osfdcOkGrW8P6W8rWM0US2T0vjsOaFNnq979yxdU5JyS/fNud39HVYZ/D7Kz3JLwkxAA4JpEJq+2QLna5fJlWBGARnTYCZk2d7bK7/Pq/J6wDpyo7m5L5zIT1JRpjk9vOFixmUyD0YSCPo82dLRIknb0hJu+XY6d5c4U9Hu1o7uNSqZVuvdQVJJ09TzzmGYL+r1681Vb9PjxKf3o6ajr6yoUi/rAnZZOpbL66PUXrnon4eXa3d+hY6fSOlnhWXCD7Cy3JIRMAABX5ApFpXKFVQ/+luxKJtrlACzkyERK4aBPa1rtUPvCde06cHK6KvNJlmo4lpDPI23sbCnL/XWHQxWbyTQYTWjL2jb5nJ2udnS1aWA8UdOPt1uKxWLZZms1mp29YR08Wb9tlLlCUbfvO6pUtnpvct17aFxb1rZq2xJCjesuWqfNnS36+58Muj5w/Us/H9F9gzH97xecN9MaWUl7nLlMla5mGhhPyOf1aHOZfm43KkImAIArkhn7l7KytMu1+NldDsCCDk8ktbmzVR5ntx+zLqLpdF5HJmt36PBwLKn+NS0K+Mrz63hvJKixClUyDcWS2jZryPX27jYlsvmm3GFuPJFVPJMnZJrHzr6IxuKZirVxltuDhyf00buf0u2PHKvK+ZPZvB4YnjhnFVOJ3+fVW56zTU+OxnW3NerauvYdmdTf3DugF+7s0av2bHDtPIsxfRGF/F7tq3DINBhNaHNni/xl+rndqHh0AACuiGfsUKgcg78jIb+mM7mmfJccwLkdmUxp06x3li+sg+HfQ7Gktpax5aInHFQim5/52euWTK6gIxNnrn1HjzP8uwlb5g6zs9yCTJ0P/y614X7t0eNV+f3j/qGYMvnikkMmSXqR6dWO7jb9w0+GlCuUf82Tyazed8cBreto0XtftHMm2K80v8+ri9e3V6WSaSlVZc2OkAkA4Ir4TCXT6mcytYf8yuaLSucKq74vAI0lVyg6IdPpF/nndYfl93q0v0ZDpoILLVY9kaAkuV7NNDKZVL6oM15o7egKS1JTDv8ednbao5LpbDt77ZDpYL2GTDG7EnJgPFGVIdP3HIoqHPTpso1rlnwbn9ej//XcbRqKJXXnEyfKup5isaibv31QY/GMPnL9hQvudlcpu/s7ZJ2crlg7YzZf0MhEcmZHTSyMkAkA4IqEEzKVYxhkxGm5Yy4TgLlOTKWULxTPqGQK+r06rycs62RtDv8+OZVWOlcob8gUdkIml1uTBp2B5bPb5Trb7B3mDo3X7/ydlRqOJRXwebS+nRktc7W3+NXfEZJVp3OZRiaS6u8IKRz06auPHq/ouQvFon58KKqrtnUtu6X2Bed368J1EX32viFl8+V7c+4/HjqqHz49rj943nZdvL69bPe7Uns2dihfKOrx45X5OX944uyAHfMjZAIAuKLUshEp0+BvSewwB+AsI061wexKJkna1RfRgRO1Ofx7KFbaWa58L1Z6IyFJ7lcyDUVLlTtnrn17d1uTVjIltamzdWYIOs60sy+ig6P1Wck0MpnU+b0RvWRXn+62Ris6G/LAiWmNxTPae97SW+VKPB67munoqbS+XqZwbP+JKX36R4d09Y4uvfaKjWW5z9W6dENlh38POj/fdlDJdE6ETAAAV5S3kqkUMlHJBOBMpbkpZ4VM6yKaTOV0vAaHUQ851UBuVDKNul7JlFBfJHjWz/btXW061IQ7zA3FktpKq9yCTF9Eh2PJmd8J6kWhWNTIhD3r7Ybd65XOFXTn/pMVO/+9h8blkfScbcsPmSTpqm1rtae/Q//8s+FVt5NNp3N6zzf3a21rQB/4FVO1OUxzrWkNaHtXm/YdqUzIVJo5V85Zeo2KkAkA4IrpMoZM7YRMABYwMpFSyO9VrzOTqGSXM/y7FucyDccSag2cvebViIR8Cvm9rlcyDUaT87aL7OgJK57J62SFdrirBflCUSMT5Z2t1Wh29kVUlPRknVUzjU1nlM4VtLmzVReua9euvoi+9uixioWo9x6K6tL+DnW2BVZ0e4/Ho7ddvU2j0xl9Zd/Kd8crFov6yHee1LHJlD583YXqbF3Zetyyu79Djx47pUIFvi+D0YQ2dITUWoYNbRodIRMAwBWldy3DwfIM/pak6QqWqgOoDyMTSW1c0yLvnHfXz+8Jy+eRrBO1N5fJHvrdVtaKAI/Ho55wUGNx9yq3isWihqLz765UaiEZaKK5TMenUsrmi4RMizi9w1x9PS9OV0jas7Zu2L1eT47G9UQFQuvR6bT2n5jW3mXsKjefZ2zu1LO2dOrz9x9ecSXZ1x49ru9Yo3rrc7fpsk1LH0BeKbs3duhUKqfBqPutuuwst3SETAAAV5wOmcrQLtdCJROA+Y1MJs9qlZOkloBP27vDNVnJ5FaLVW8k6Org77F4RvFMft52kVLIdKiJ5jINx0ptj7zwXEhfJKg1Lf66m8t0ZOLMWW8v2dWnFr9XX31k5VVBS/XjQ1FJ0tXnda/6vt529TZNJLP69wePLPu2T43G9Rfff1rP3tqpNzxr86rX4obd/c5cJpdb5grFooZi7Cy3VIRMAABXxDM5BX2eZe+KMh/a5QDMpzhrbsp8dq2rveHfmVxBxyZTrlS/9IRDGnWxXW1onp3lSta2BdXZGmiukMmF2VqNxuPxyPRFdPBkfYVMhyeS8nk9Wt9h/2yJhPx6kenVXQdOzmxs4pZ7DkW1oSOk88oQaFyyoUN7d3Tpiw8c1qlUdsm3S2bz+pNvPqFIyK8/u3bXWZWitWLr2lZ1tga0z+Xh38dOpZTOFahkWiJCJgCAK+KZvNrK0ConSSG/V0GfR9OETABmGYvbc1Pmq2SS7B3mYslsTc0JOjyRVFHSlnmCmtXqiQQ17mIlU6klZaEXWs22w9xwLKlw0KeuFc7NaRY7+yJ6aiyuXL5Q7aUsWakN1z9r18BX7N6gZLaguw6MunbeVDav+4diunpHd9naad/63G2aTuf1rw+MLPk2n/juUxqKJnXzS426w+WbHVduHo9Hu/s7XN9hbnDcDpS3EzItCSETAMAV8Uy+LK1yJZGQn0omAGcozU3ZvEglk2RvB14rSi1WW11oseoNBxXP5F3byWswmlBbwLfgwPId3W06NB6vqcoxN9mztVprZretWmX6Isrmixp0Kr/qwchEShvXnPlz5ZIN7Tqvp83VlrlfjEwqlSto73mrm8c0m+mL6Jd39urfHjyiWOLcIfQdj5/QNx8/oTf90hY9c8vasq3DLbv7OzQcSy7pa1upgVLATrvckhAyAQBckcjky7KzXEl7yK+pVH1tgQzAXSNz5qbMtbMvIq9H4XFLhgAAIABJREFUsk7WzvDvIefFiivtck7449ZcpqFoUlu7Fg5VdnS3aTqdd3UuVC0ZjiVolVuCnX1hSZJVJy1zxWJRhyeS2jzn54rH49ENl27Q/hPTrn0t9z49rtaAV1ds6izr/b71OVuVzhX0+fsPL3rc4HhCH//uk7p80xq9+aqtZV2DW/aU5jK5WM00OJ7Q2tZAze2uV6sImQAArohncmWtZGpv8dMuB+AMI3PmpszVGvBpa1dbTQ3/Ho4l1R0OKhIqTzvxbD1OW8votDs7zA0usLNcyY5uO0w4NNb4LXPpXEHHTqVdqUhrNFvXtink99bN8O+JZFbxTF6b5gkQr72wTyG/V19zoZqpWCzqnkNRPXvrWoX85X2Zvq27TddetE5f2XdMJ6fm//mQyub1njv2K+jz6kMv3XVGq2At27UuIr/X42rINBBNUMW0DIRMAABXJDJ5hcs0k0miXQ7A2UYmUtrQEVr0xdCuvkhNVVAMOS1WbihVMrkxlymZzev4VHrRkKm089KhCmwnXm0jzmytzVQynZPP69EFveGa+ne4mMOlCsk1Z4fXa1oDuuaCHt25/6SS2fJWVz81FteJqbSu3lG+VrnZ3vxLW5QrFPW5nw3Pe/1f/fCQnhyN68+u3aW+9pAra3BDS8CnC9dFtM+lHeaKxaIGownmMS0DIRMAwBVxF9rlqGQCMNvIRHLBVrmSXesiGp3O1EwL13Asqa0uBRO9YfuFoRs7zA0vsrNcSVdbQGta/BoYj5f9/LWmNFuLdrml2dkb0cGT9TGva2Rm1tv839sbdq9XPJPX3VZ5B4DfeygqSXrudndCpk2drbrh0vX62qPHdXQydcZ1d1uj+sq+Y3r9lZv0XJdCLjdd2t+h/SemlMmVf7h8NJHVqVRuJkTHuREyAQBcUe7B3+1UMgGYZaG5KXOVhn9bNdAyN5nMaiKZdS2YiIR8Cvm9rgRqpZ3lti7ybr7H47GHfzdBuxwh0/KYvrCm0jkdO+VOK2c5jUwk5ZHUP08lkyRdvnGNtq5t1dcePV7W897zdFQXrW9XT8S9KqLfevYWeT3SZ+8bmrlsZCKpD911UJduaNfvXr3NtXO7ac/GNcrkizrgQrVcacdMKpmWjpAJAOCKRCZX1kqmSMhHJROAGZOpnKbTeW1aYGe5EtNnh0z7T1R/+PfpYMKdFysej0c94aArM5kGowl5PQtXd5Rs7w5rIJqoi4qV1RiOJdTVFnBltlYj2un8O6yHlrnDE/+fvTuPbus+7/z/vgAIgABIkAS4i5RELVdeJFuW5MRxnK1Jm6RpmjSNs0/bNJ1fO9PptDnTaTMznWk7nZ620/5m6a+ZpW3SZmudJo2b1unuLHbjxJYty5t8tVBcQEoUsXHBvtzfH8ClZIkLlnux8Xmdo3MsigK+JikA98HzfJ40I70unFvkIimKwruOjfLc4iqXwuZ07UWTWV64smrZqJxhuMfFD989xiMvLTETTZLNF/l3f3UOm6Lwa99/Gw57e5YHjlkY/i2b5arXnj9FQgghWlqhqJPKFfGZnMmULehkLGiFFkK0H2OkZadxOa/TwWR/d0tc3BpFpr3bjJzVK+h1WtTJlGLM797ywtswFfCwms5bkgvVSuYtHHvsRAeDXmwKnG+Bf4c7WYinGN/hceX7bx/CYVNM62b69uUoOvBAA0bVfuTeCVwOG7//7Vl+829e5tzSOr/0fYe37NxqB0Gvk3G/m7MLK6bf9kwkiddpZ6iceSd2JkUmIYQQpjPCMM3OZAJkZE4IAZRCv4EdO5mgFP7dChvmZmNJ7AqMW3gxN+hzErYgk2k2tv1mOcNG+Heks0fmSgHu0tlQKXeXnb39npYo9u5kPp5mYofHlX6PkzceCvK1l5ZMefPr8ekogz7nRuellQY8Tt5/zzh/py3zh49f5n3Hx3jjoaDl92u1u8Z7eW5x1fQuysvRJHsHPChKe2zbawVSZBJCCGE6Y6zNiiLTelqKTEIImC/npoz7d+4mOTLsY2ktQyzZ3O6auVipQ6LLwpGUgAWdTIWiXg4s37moMlUuMl3u4CLTeiZPNGldtlanOjzk5fxya4fCr6XzxFO5HcdCAd51dITVdJ5HL9QXAJ4rFPnOTIzXTg00rJDx4ZN76HU7uGOsl5953VRD7tNqx8Z6iSZzLNwUal6v0mY5+bdeDSkyCSGEMF2y3MlkZvC3zy2dTEKI6xbiKQZ9Tlw7jG/B9fBvK0JhqzEbTVlemBj0uUhkCySz5q1Xv7qWJpMvbrtZzhDwOul1Ozq6k0lCv2ujDpWKvfFUrtlH2VJopfS93WlcDuDkZB/jfjcPP1ffyNyZ0AqJbIHXTgXqup1q9Lq7+PxH7uGL/899O47Atou7xvwAnF0wJ5dJ13X+8fwyy+vZiro4xXWd8RMlhBCipRgXN14TM5lkXE4IcaP5eJqJCi/yjwz1APByE0fmiuVteFYXJoLeUm6Imd1Ms9HShXclF1qKorB/wMPlSGt3rNRjo8gk3Q1VMcK/WzmXyRjD3WlcDsCmKLzr6AjPhFaYjdZeVH1sOorLYePeyb6ab6MWI71uvB0UXL8/4MHrtJsS/j0TTfKvvvw8v/iX5zg06OVttw+bcMLdQ4pMQgghTJfImN/JtDEuJ0UmIQSl4O89FYzKAfS4HYz73U0tMl1by5DJFy0Piw76jCKTeRvmZoztShW+mz8V9DAd6dwNc3OxJApU/PMnStTB1t8wV+lCAcM77hzBXkcAuK7rPHYpwsmJPtxd5r1m2o3sNoWjY72cXaw9/DuZLfC737rMB/74aV68usa/eeMBPvPhexjucZl40s4nRSYhhBCmS1gS/F26LelkEkIksqVMnEpCvw23DfuaOi5ndAPttXjsYtAoMpkY/j0bTeF3O+jzdFX0+fsDXlbSpe9RJ5qLpRitYNOeeKU+TxdDPmdL5zLNx1IEvU66Kyz4BL1OHpga4JEXl8gVqg8An42mWFhJ88AB67fK7QbHxnqZDidZqzK/U9d1/kFb5r2fforPPDXPW28b4ks/dor33TOOwyaB39WSR0YhhBCmS5QLQV6XiZlMxricBH8Lsetd3yxXeSeJOuRjcSXNSpPyYGYblONjxbjcTLSyzXKGqQFjw1zrFhPqMRezfuyxU6lDvtbuZFpJV1W8Bnj3sVFiqRzfvBip+v4emy79nfv3S5HJDHeN9aIDz1+pfGRuJpLkp7/0PJ/4q3P0dXfxB++/i//0VpVA+bFUVE+KTEIIIUy3kcnUZd6sv8tho8uusJYxL8xWCNGeFsojLZVsgDLcNlzKZWrWBe5cLImny75RBLJKj8uBy2Fj2cROpqqLTMHO3TCn68amPSky1eLwkI/ZaJJ0rjWfy0PxVFXFa4BX7e1npMfFV567UvX9PTYd5dCgl5He6gpbYnN3jPZgU6gol6k0GjfNBz7zNOeW1vn5Nx3kMx++h7vG/Q04aWeTIpMQQgjTJS0Yl1MUhR6XQzKZhBDMlzuZxqvoOFCNDXNNymWaLXe/WL2iXFEUAl6naZ1Mq+kc0WSOvVWEXAe9Tnwue0dumIskcySyBelkqpE65KOow6Vw63W5pXIFltezVRWvoZQF9M6jIzw5F9/IdKrESirHcwsrPDAlXUxm8TodHBr0cXabIpOu6/zdy9fKo3Eh3n77EF/66EkePD6GXUbjTCFFJiGEEKZbzxTosium51X4XA7JZBJCEIqn6O/u2hijrURfdxejva6m5TLNRZMNK0wMep2E180J/q4lS0pRFKYC3o4sMs3FSv9PUmSqzeEhL9Ca4d8LG2O41XcVvfPOEWwKfPWFygPAvzMTo6DDAwcCVd+f2NpdY728eGWVfPHWxQPTkQT/4kvP8+8feZkBj5NPfeBufun7VAY8MhpnJikyCSGEMF0ym8djwZaUHikyCSGobaQFSl0ULy+tWXCi7WXyRa6sZqrqBqpH0GdeJ1O1m+UM+wOejhyXm4sa2VrWBrh3qrFeNz6XvSXDv6vdLHej4R4Xr9k/wFdfWCJfYQD4Y9MR+ru7uH2kp+r7E1s7NtZLKlfk4vL1QmYim+d/fHOaD37mGc5fW+cXvucgf/Sh4xwd623iSTuXFJmEEEKYLpEt4K2iw6BSPS7HRqi4EGL3CsWrD+eFUi7TfDzd8LHbUDyFTuMKE0Gv07RMpploCodNYcxf3dd7KuAhnsoRTZqXDdUK5mIpuuyKrDSvkaIoHB5szfDv+Y0iU235SO86OkokkeXx6eiOn5sv6jwxE+P+qQFsFo/Q7jZ3jZcKR2cXVtF1nb89d433fvo0nzsd4h13DPOlHzvJD98to3FWMv8KQAghxK6XzBbwmpjHZPC57FxdS5t+u0KI9pHNF1lay1SdmwLXc5m0a+ucmOgz+2hbMjbLNayTyeskkS2QyhUqXsW+ldlokon+7qrXeE8Frod/d9Ioylys1EUnF6i1U4d8/PlzVygU9Zb6OobiafxuB73urpr+/v1TAwz6nDz8/FXecCi47ec+t7jCajoveUwWGO5xMeRz8o8Xwnz9Ypin51e4bdjHb73zdu4clc6lRpBOJiGEEKZLWDQuV8pkas2NNEKIxlhcSaNTXei34chQc8K/58ojZ7UUxmox6Ct12YRN6GaqdrOcYX+glL3TablMslmufuqQj0y+yFys8pDsRqh1DNfgsCn8wJ0jfPtylKur278h9vilKA6bwr17+2u+P7E5RVE4NubnTGiFi8sJPvHmg3z6g8elwNRADS8yqapqV1X1G6qq/tE2n/MJVVUXVVVdV1X1EVVVxxt4RCGEEHUqjctZk8kk2+WE2N2MkZZaCjYBr5Mhn5NzDc5lmo2lCHidVQWV1yPoLXUOLSfqC//OF4qEVtLsq6EDa8jnxOu0M92CW8RqVSjqzMdTEvpdp1YN/y4VmWoblTP84J0jwM4B4I9PRzkx4W/YY8Ju88/u3cOPv3qSL330FD90l4zGNVozOpn+E/DAVn+oquqPAj8JvAEYBsLApxpxMCGEEOZIZgt4uizIZHI7yOSLZPKVhWoKITpPvbkpR4Z7Gn5x2+jul6CvVGSqt5MptJKmUNRr6mQqbZjzcDnaOZ1MV1bT5Iu6FJnqtH/AQ5dd4XwLFZmy+SJXaxzDvdGY382r9vbzF89fpbDJdjMoFbMuR5O8dkq2ylnltuEefvL+ffR11zb6KOrT0CKTqqpvAt4L/Nk2n/Yx4JOapp3XNC0BfBx4i6qqhxpxRiGEEPWzqpPJeMdPupmE2L0W4mm8TnvNFw9HhnzMRlMkso17HJmNJhtamDA6merdMDdbLhDtraHIBKUNc9PhzikyGQVO2SxXH4fdxoGAt6U6mRZX0xT12jbL3ezdx0a4tp7liZnNA8AfKweDv1bymESHaliRSVXVIUodSR8EtntEuQN40fiNpmkR4Bpw1NIDCiGEMI1Vwd895SLTmhSZhNi15uMpJvq6UWrcyHRk2IcOXLjWmDGueCrHSjpfc6GmFr1uB067Uncn00y0HFheY4FsKuAllsoR65ANc3NRo8gknUz1Uod8nF9OoOubd/s02kK8lKFU77gcwAMHAgx4unj4uc1H5h6/FGH/gMeUgpYQraghQ6CqqtqAzwH/r6ZpZ1RV3e7Te4Cb3/JIAlU/MwcCvmr/SssaHOxp9hGEsIz8fHeWYlEnmSsw2Ocx/Xu7J1J6ge/odrbNz027nFOIWjX6Z/zqepbbR3trvt/7XV3w8IvMJ3K8pQFnn5+LAXB070BDv1ZDvW7W8sW67vNqMsdwr4v9e2oLJ757KgDfnCZWgMNt+lh449dvOZ2nx+VA3TtQc5FTlNwzFeAvXrhKwdXFqL/5xZbY+TAAdx8cJFgOzq/He09N8AePXabo6mK493rhai2d48zCCh997f6WeX3QKucQnaNRSWOfANKapv3PCj43Adz8SOMBVqu900hkneIWs7DtZHCwh+XlxgZUCtEo8vPdeTZG2fIF07+3hXTp3fD5pVX2dLd+WKb8fItWo+s6z4RWuHO0F5ej/ob2Rv+M54s6c9Ekr58aqPl+bZQCwJ+eDvMD6vZrxs1wdrp08dpnp6Ffq4HuLkLRZF33qS2uMNHXXfNtBBylQswzl8JM9ThrPkez3PzzrS2usqfPTTjcOmNe7WrcU3oOf+LcEg8caH420cuhOF6nnWIyw3Kq/s677z0Q4P98c5o/+uYlPvrqyY2PP3p+mVxB58RIa7w+kNcpohY2m7JtQ0+jxuU+ArxBVdW4qqrx8u8/qKrqc5t87gvAEeM3qqoGgCFuGKETQgjRuhLZAgAeK8bl3OVxubSMywlRizMLK/zkF5/jwU8/xd9ryy0zqlKppbVSEHW9Iy1HhnycW2pMoWAulsKuwLi//jGcagz6nITXa98up+s6M9EU++oYDRvuceF12rkc6YxcprlYY7O1OtnBQS8KrbNhLhRPM+53m9ahNtnfzckJP3/xwlWKNzzOfms6Sq/bwdGxXlPuR4hW1JAik6ZpRzRN69U0rU/TtD7gs8AXNE07tsmn/xHwM6qq3q6qqhf4HeBxTdMuNeKsQggh6pMsF5l8FmYySfC3ELW5slIqOiiKwr/7q3P8+J+c5YUrVTeLN00oZuSm1Hehf2TYx0w0STpXMONY25qNphjv68Zhb+xS56DXWVfwdzSZYy1TX5aUoiil8O9IY/KvrJTJF7mymmGvhH6bwut0MNHfzfnl1vjZmI+nmDC5gPiuo6MsrqR5ajYOQKGo8+3pKPft68dhk3FL0bkqerZTVfVRVVX7Nvn4oKqqT9dzAFVVH1BVdV1VVaOP8A+A/wV8DVgEgsD76rkPIYQQjZMsb2yypJNpI/jb+gtDITqRUXT43Efu4T987yEWVlL82Bee5T88co4rq+kmn25noZVSLlvdRaYhH0WdhlzgzsVSTel+CXqdrGcKNRfSZsqb5fYN1Hf2/QMepjugkykUT6Ejod9mOjzoa4lOpnxRZ3ElbXoQ9xsOBfG7HXzl+SsAvHR1jVgqx+taYDxQCCttGWihquprgIPl374e+LCqqje/1XU7cKjaO9U07WM3/PdjgO+G3+vAb5R/CSGEaDPr5U4mr9P8zCSXw4bDpsh2OSFqFElk6e6y4XM5+MGjo7xZHeQzT4X4/OkQ37gY4YMnxvmReycs+fdrhvlYGpfDxqCvvnyfI8Oll54vL61zzMKxlVyhyHw8xb17b3mv1nLB8tconMjWdPE8u1Fkqq9zZ3/Aw1++uEQ8laOvu6uu22qmuVh5s1ydRTdx3eEhL/9wfpm1dH5jHL4ZltbS5Is6EyZslruRy2Hj++8Y5otnFokmszw+HcGuwKv31RakL0S72O5fc5FSV5HRy/ffbvpzHVgD/rMF5xJCCNGmkhZmMimKQo/LIeNyQtQonMgS9F4v0HidDn7q/n28++gIn3x8hk9/d56/eP4qP3n/Pt555wj2FhvpWFhJMeZ3Y6szN2W4x0VfdxcvL1kbePvXL10jky/yqr2Nv6gc9JY2ZC2v11ZkmommcDtsDPXUt2lrKugF4HIkyfE9/rpuq5mMItOErJ03jTpUKvaeX17nxETjC7GGUNycMdzNvOvoKF94eoFHXlzisekod4376XW3b7FViEpsWWTSNO07gBNAVdXLwClN08KNOpgQQoj2lCiPy3ktKDJBKfxbikxC1CaSyBLw3toFNNLr5lfffoT3HR/jv31jml//+wt88cwiP/uGqaYUSLYyH0+ZcpGvKApHhn28bOGoTr6o80dPznFkyMd9TehcCNzQyVSLmWiSvQOeugt6U4FSJ9TlSKLNi0xJAl4nPldrdvm1o8PlIpN2rdlFJnPGcDezP+Dh7vFevvD0AuFElp953X7T70OIVlNRJpOmafulwCSEEKISyY1xOWuKTF6nXcblhKjRzZ1MN7tjtJfff/9d/MYP3EYyV+Cnv/Q8P/eVF1piO5iu64Ti6bo3yxmODPmYjiTJ5Ium3N7N/lFbZj6e5sdePWnaxqpqDJa/z8s1bpibjSbrzmMCGOlx4emyt30uU7OytTpZ0Osk4HU2PfzbrDHcrbzr6OhGsfcByWMSu8B2mUzngVdrmhZVVfUCpfG4TWmadtiKwwkhhGg/iY1xOWve7e1xOVhLS/C3ELWIJLIEduiqURSF7zk8yANTAR46s8AffmeOD/zxaX7orjH++X176fM0Z9QjnMiSyRdN6za4bdhHoahzMZzgjpEeU27TUNR1PvXdOfYHPLzhYHMuKnvdDpx2hfB69Z1M6VyBK6sZ3nFn/ZvUFEVhX6D9w7/nYikemJICgdkOD3o53+Twb7PGcLfyPYeD/PbXL9Lf3cVeKVSKXWC7K4DPA8aakc814CxCCCE6QCJbwGFTcNqtebHW43awvN7eFytCNEM6VyCRLWw6LrcZp8PGR05N8I47hvm/357lz88u8tfnlvjxV+/lwbvHcDoqaog3zXzcyMQxp5NJ3Qj/XjO9yPStixGmI0l+9e2qZReuO1EUhaDXWdO43Hx5k1q9od+G/QEP352JmXJbzbCWzhNN5qSTyQLqkI8nT4fI5osNf0wxmDWGuxV3l51ffusRXA6lKV2NQjTadkWmtwL/B0gCl4GHNE2rrd9WCCHErpHMFvA67Za9kPK5HDIuJ0QNjGJDpUUmQ7/HyS+8+RDvPT7G//zmZf7HN6f50rOL/Mzr9vNg0LfzDZjE7HDesV43vW4HLy+Z20Whl7uYxv1u3qIOmXrb1Qp4XSzXUGSaiZYKemaMywEcCHh45MUlVtO5tgw9nisXOKXIZD51qNRROB1JcGTY3GJvJYrlMVyrs+de36SORiGaYbty8d3AWPm/Pw1Yt99VCCFEx0hk85blMUF5XE6KTEJULVIuNmyXybSdqYCX//5Dd/K777kTd5eNX/jLc/z6186ZecRtheIp7DaFkV5zOpkURUEd8qGZPKrzndkY55bW+dF7J3A0eTvfoM9JpIZxuZloEgXzNqnt3wj/bs8u1LlY6dyTJhXdxHU3hn83Q3i9NIYrWwOFMM92nUyPA/+kqupVQAFOq6q6aQiGpmlTVhxOCCFE+0lmC5blMUGpyJTJF5vaWi9EO4rU2Ml0s1fvG+Dzk/38/F+8yMPPLvITp/Y0ZAQkFE8z2usytXBz27CPP3lmgVyhSJfdnMeTT31njiGfk++/Y9iU26tH0Ovkybnqx9Rmo0lG/W7cXea8YTAV8AJwKZLkrvH22zA3F02hAHv8Uogw254+N54uO+evNSf8O7RibJYzp3gthNi+yPRe4INAP/CfgS8AzU1lE0II0fLWy+NyVjHWR69n8ww4rNkEI0QnCtfZyXQju03h9QcDPDYd5XI0uVFEsFIonjJ9xbg65CNX0JkOJzcymurxTCjOswur/Js3HjCtaFWPoM/JeqZAOleoqmA0E02ZGlA80uvC7bC1cSdTilG/W97YsIBNUTg06G1aJ1MoZu4YrhBimyKTpmlx4JMAqqoeBH5d07S1Rh1MCCFEe0pmC/jdFnYyuUsXSmvpPAMeKTIJUalIIotNgb5uczJxTk72AfDUbNzyIpOu68zHU6YHdBsZMOeW1kwpMn3qO3MMeLr4waMjdd+WGYyCYjiRrfgiuqjrzEaT3LNn1LRz2BSF/QEPlyPNXVVfq/l4SvKYLKQO+firF5co6nrDg/LnTR7DFUJsn8m0QdO0HwP6VVX9TVVVH1FV9WFVVf+Lqqr7rD2eEEKIdpPIWJ/JBLAuuUxCVCWcyNLvcWI3adxs3N/NxEA3T83FTbm97ayk86xnCkyYfKG/p8+N12nnZRO6KF68ssp3Z+N86MQe08bM6jXoKxeZqshluraWIZ0vmhb6bZgKeJhuw04mXdeZi5nb2SVe6fCQl2SusBHu30iheJoxk8dwhdjtKioyqap6N/A88H4gARSAjwBnVVU9Zt3xhBBCtJtkroDX4kwmQMK/hahSJJEzZVTuRvcfCPJ0KE6+qJt6uzcLlbd7jZuciWMrh3+bsWHuU9+dp9ft4D13m9cBVK+gzwVQ1Ya5mWipELR3wGPqWfYHvCyvZ1lLW/vY/ftPzPI/vzlNrlA05fYiyRyJbEE6mSyklsO/zzdhZM6KMVwhdrtKB4t/G/hr4KCmaQ9qmvYe4ADwCPBbVh1OCCFE+ykFf1ufybSW2XQXhRBiC5FEloDX3PXxrzkYZD1TsDxPxehwmOg3f6TlyLCPC8vr5OsoSlxYXudblyK8//i4pUX2at04LlepmWipoLfP5CLTVHnD3LSFI3NXV9P8wROzfPZ0iJ/64nNV/X9vZWOznBSZLDMV8GK3KQ3PZTLGcGWznBDmqrTIdB/wnzVNyxkfKP/3rwOvseJgQgjRzvKFIpoJ74y3m6Kuk7A4+Fs6mYSoTTiRNb2T6b6pAABPzVa/wawa8+VOpjELclOODPvIFnQuR2sf5fr0d+fxOu08eHzMxJPVz+920GVXCK9nKv47M9EkPS4HAx5zC5L7y0UmK8O/v3T2CgA/94YpXr62zo987hlevFpfpOxcueg22W9u0U1c53TYmAp4OL/c2NdN8VSpS22PFBCFMFWlRaYYsFnSYi8gr/KFEOImX31xiY987hmurjY+X6CZUrlSd5GVnUw95VDxdYtHLoToJIWiTiyZJWBykWmwx8WBoMfyXKaFeIohn9OSrKPbhkovcWsdmZuNJvkHbZn33DWG36RQdbMoikLQ66yqo2c2mmTfQDeKyQHMY343LoetrmLedtK5Ag8/d4XXHwzywRN7+NQH7sZhU/jnf/osf/nC1Zpvdy6WwmlXGO5xmXhacbPDQz60a40Nhjc6JPf4JfRbCDNVWmR6BPj/VFU9YHxAVdVDwP8o/5kQQogbnLu6hk7tFy3tKlEeYfO6rBsXcTts2G2KdDIJUYV4KkdBx/ROJoBTk/2cXVwlkzcnA2cz8/G06aHfhon+brq7bDU/Xv/xk/M4HTY+dHLc5JPVmZcJAAAgAElEQVSZI+h1sVxF8PdsLGV6HhOUN8wNeJgOW1Nk+tuXr7GSzvO+cjfZ4SEff/yhezg27udX//Y8v/3oxZpGIudipcweswLzxeYOD3qJJLKmjDhWyuiQlHE5IcxVaZHpE+XPPa+q6pKqqkvAy0AW+LhVhxNCiHZ1KVx6N+5CuD3XNdcqmS0XmSzcrKQoCj6nXbbLCVGFSPnCzexOJoBTk31k8kWeX1w1/bYNoXiKPSaHfhvstnL4dw15MFdW03zt3DXedXSEAY/5X1szBH3OirfLrWfyLK9nTc9jMuwPeCzJZNJ1nYfOLHIw6OWePf6Nj/d5uvjd9xzlgyfGeejMIj/95eeJJasrYszFUpLH1ABG+Hcjc5lC8RQKpS47IYR5Ki0yOYCTwA9QCgH/NeAtmqbdr2naslWHE0KIdqTrOpfK79ReWN5dRaZEtlT4sXJcDkojc9LJJETljO4AKzqZ7tnjx67AU/PWjMwlsnmiyRx7+qy7EFSHfJy/tk6hyi15n3lyHgX4yKkJaw5mgsEqxuVmY0botzVFlamAh2vrWdPfJDizsMKF5QTvOz52y5ifw6bwc284wK+8TeWFK2v8s8+d4eWlynKaCsVSMLTkMVlPHfJhU7C0WH2zUDzNcI8Lp6PSS2IhRCUq/Rd1GrhH07SvaZr2XzVN+11N0x618mBCCNGurqxmSOYK2BW42OAQy2ZLGJ1MLouLTC4H67JdToiKWdnJ5HM5uG2kh6dmrSkyLRi5KRaOtNw23EM6X2Q2VvkoV3g9w1dfuMo77hhu6byeoM/JWiZPOrfzY+ZsOS/JinE5gP0BL2B++PcXzyzidzt4621DW37O228f5vfffxc68LE/Pctfn1va8XYXYinyRZ290slkOZ/LwZHhHp62qFi9mVA8JaHfQlig0iKTAlS+lkIIIXaxi+URuXv39hOKpzdGyHaD6+Ny1q7w9rmkk0mIaoQtLDJBaWTupaurloyxhhqQm6IOl0Z1qsll+tzpBQpFnR+5t3W7mOB691ol3Uwz0SR2m2JZEPKUBRvmrq6m+caFMD94dGTHYPjbhnv4zIePc/tID//xaxr//RvT5LfpXpsOl34eZFyuMU5O+HnhytrGEhGrzcfTTFjYISnEblVpkelTwN+oqvprqqr+uKqqH7zxl5UHFEKIdmPkMb31tiH0G36/GzSyk0mKTEJULpLI4nXa6bYoL+3UZB8FHc6EVky/7flyJ9O4hReD+wY8uByVh3/Hkzm+fHaR7z0yZGmHlRmCvnKRqYJcpploij1+Nw67NeNDxoa5SybmMn357BV04IfvHqvo8wc8Tj75w0d58O4xPv90iH/95eeJp3Kbfu7l8vO3VaHz4pVOTvaRL+qcXTD/ceRm65k88VROQr+FsEClzyC/BIwC/w74feBzN/z6rDVHE0KI9nRxOcFor4u7xnsBuLCLRuaMIpPlmUwuhwR/C1GFSCJrWRcTwLExPy6HjdMWjLqE4in6u7vwWbi10mFTODzorTir50/OLJDJF/nRV7V2FxPAoLc0yldpJ5NVod9QClnf299tWidTOlfgK89d4XUHAoz2Vl6EdNht/Pz3HOSXvu8wZxZW+JHPn9n0ufpyOIHXaWfA02XKecX27hrzY7cpnJ63vshkdEiOS5FJCNNV9GytaZqkoQkhRIUuhhMcCHoZ63Xjddp3Vfj3RvC3hdvloDwul5YikxCVsrrI5HLYODbWy1Nz1hSZrAz9NhwZ7uGRF5co6jo2Zet19euZPF88s8AbDwWZKmcMtTJjXG55hyJTvqgzH0vxwFTA0vNMBb2mdbz93cvLrKTzvP+e8Zr+/jvvHGEq4OHffvUlPvqFZ/lPb1V5szq48eeXwwkm+7tvCRMX1vA47dwx0phcJqNDUsblhDDftsUjVVW9qqr+gKqqb1FV1deoQwkhRLvKFYrMxlIcDHpRFIWDQe+uKjIlswXsNgWXxZtaetx20vkiuULR0vsRolOEE1lLNsvd6NRkHxeWE0SrXBG/k1A83ZCRtCNDPpK5AnPlDWtb+bNnF1nPFPjoqyYtP5MZ/N0OHDZlx3G5xZU0+aJu2WY5w1TAw9Japu5uVF3XeejMAgeCHu7Z46/5du4c7eUzH76Hw0M+PvFX5/i9xy5vbBmcXk5IHlODnZzs49zVNcu7lY1OplYfdxWiHW15FaCq6jHgIvAXwN8CL6uqem+jDiaEEO1oJpqkUNQ5ECy9u31o0MvFcAJdr24tdrtKZAt4nXbL3/XtKY/NyMicEJWJJHKWdjJBqcgEcNrEbqZsvsjSWqYhuSlHyuHf2ja5TKlcgc+fDnH//oGNsPBWpygKQa+TcGL7HT4z5c1yVo7LAewv375xf7V6dmGV88sJ3nd8vO7nnKDXyf9+8Bg/dGyUP3pyno8//ALh9QyLKyn29lv79RCvdHLCT0GHZy3OZQrFUwS8Tsty6oTYzbZ7q/k3gEvAa4BXARrwe404lBBCtKtL4dKL5oM3FJkS2QKLq+lmHqthktk8XovzmICNbJa1zO7Z3CdErZLZAslcgYDFuTJHhnvwOu2mjswtrqTRsTb02zAV8OC0K5zbpsj0leeusJLO89FXt0cXk2HQ59yxk2m2XPTZa3UnU/n5cbrOXKYvnlmg1+3gbbcNmXEsuuw2PvGWQ3zizQd5cjbOhz77DLoum+Ua7ehoL112hdNz1haZZLOcENbZrsh0H/DTmqZ9R9O0p4CfAI6rqtr6w+dCCNEkF8OJUrBp+UX6ocHSO90Xd8nIXCJbsDz0G653MsmGOSF2Filn8RhbxqzisCmcmOgzNfx7vjzS0ohOJofdxsFBH9q1zcO/M/kin30qxMkJP8fGei0/j5mCPteOmUwz0SQDni563dYWI8f9bpx2pa7w76urab5+IcwP3jmC2+ROlB+6a4z//eCxjd9bXXQTr+TusnN0tNeSJQI3KmW9yfdWCCtsV2TqAa4av9E0bRrIA9amAQohRBu7FE6wb6CbrvL65wNBLwpwfhcVmbxO6zZAGTbG5ST8W4gdGUUmq8floDQyF4qnuWJS92ZopXQ7jQj+hlIu08vX1jcdcf6rF68STmTbrosJSuNgkR2LTCnLR+WgvGFuwMN0pPbnxS+fvYIO/PDdY+Yd7AZ3jfv57Ifv4XfeexfqUHuMRXaSk5N9nL+2zkoqZ8ntp3MFltezDSleC7EbbVdksgE3J6rmqHAjnRBC7EYXlxMbo3JQ2pSyp8+9azqZkg3qZPK5pZNJiEoZq+utDv6G0sUhwFOz5nQhhGIpvE47fd2NWSF/ZNjHeqbAwsori2T5QpE/fnKeo6M9nJzoa8hZzDToc7KazpPObT1iPBtNNqTIBKXRxFo7mdK5Al957gqvOxBgzG9d8XGox8V7TuyRzXJNcHKiDx1M20J4s0YXr4XYbaxd/yOEELvIeibP1bXMRui34eCgjwvLW2d8dJJEgzKZZFxOiMo1spPpQMDDgKeLJ+diptxeaKU00tKoC30j/PvmXKa/efkaV1YzfPTVk21ZdDC+9+EtupniyRwr6XzDRsP2BzxcWc2QzFafq/d32jIr6TzvOz5uwclEK7hjpAeXw2bZyFwoJpvlhLDSTl1J/1pV1RvffncA/0JV1eiNn6Rp2q+bfjIhhGgzl8Klh8uDNxWZDg16+caFcMO6fJopWd4uZzWfq3Qfsl1OiJ2FE1nsCg3pBlIUhVOTfZyeX0HX9boLMqF4msODjYsDPRDw4rApvLy0zlvUQQAKRZ1Pf3eew4Ne7t8/0LCzmGmwnMcVSWQ3vbBu1GY5w1Sg9D29HE1yx0hPxX9P13W+eGaRA0EPJyb8Vh1PNJnTYePucetymYysN+lkEsIa23UyzQEfpBT4bfy6Crznpo99zOIzCiFEW7hoFJluuiA6FPSic70I1clKwd/WT1V7uuzYFCkyCVGJSCLLgNeJrUEdOKcm+4gkslyuc0V9vqizsJJmvIHdBk6HjQNBLy8vXQ//fvRCmLlYqm27mOD6qOTyFhvmGl1k2h8o3c/lKnOZzi6sol1b58Hj4237vRCVOTHRx6Vwklhy+yyxWiyspPG7HZaH3AuxW215JaBp2r4GnkMIIdrepXASr9POSI/rFR8/NFQqOl0IJzjaZhuJqqHresM6mRRFocflYC1T/aiFELtNOJFtSB6T4dRkP1DKZTI6VmqxtJamUNQbvmb8yLCPb1wIb4R/f/q7c+wf8PDGQ8GGnsNMg97S89JW43Iz0RQuh42RXtemf262PX3ddNkVpsPVFSIfOrNIr9vB224bsuhkolUY2WdPz6/w5nJXoVnmY7JZTggrSSaTEEKY5GI4wVTAe8u7q6O9brxOOxeudXYuUypXRIeGFJkAfC6HZDIJUYFIItuQPCbDmN/NmN/NU3P1jbqEYkY4b2MvBo8M+VhJ57mymuGx6SgXlhP86KsmGtYJZgV/twOHTdmyk2k2lmSyv7th/48Om8Lefk9V3W5Laxm+fmGZd945QndXZ4+eC7ht2Ieny27JyFwonpJROSEsJEUmIYQwga7rXAonODh466iBTVE4GPRujNN1qkS2VPBpVJGpx+WQcTkhKhBucJEJSiNzT4fi5It6zbcRWmlOOO9t5fDvl5fW+NR35hjzu/neI+3dOaMoCkGvk0gis+mfz0ST7O1vzKicYX/Aw3QVz4tfPruIDrz37jHrDiVahsNu4/geP6frLFbfLFcocnUtw4R0MglhGSkyCSGECZbXs6ym87eEfhsODnq5sJzYGL/oRInylqBGZDIB+NwO1tLmF5n+6XKUb1wIm367QjRDoagTT+UaXmS6d7KP9UwB7YZso2rNx9K4HLaN0OpGORD0Ylfgc6cXePHqGj9y7wQOW/t2MRmCPuemnUyZfJHFlTT7GrRZzjAV8LC4miGV23nsOZMv8pXnrvLAVIAxv3Sg7BYnJvzMxlIsr29eHK3F4kqaoi6b5YSwkhSZhBDCBEaX0oEtikyHB70ksgWurJr3QqnVXC8yNa6TyexxOV3X+c1/uMAn/2nG1NsVolliySxFnYZmMgGcnCzlqdQzMrewkmLM7274mJq7y85U0MvzV1YZ8jl5x+3DDb1/qwS9zk0zmebjKYp640K/DVPl8O+ZCkbm/u7la8RTOd53j3Qx7SbG48jT8yum3WYobozhSrFSCKtUXWRSVXWfqqoOVVUljl8IIcqMzXFbdzKVxi8uLHfuyFyy4eNydtPH5c4trXNlNcPV1XRHd52J3SOSyAE0vJNpwOPkYNBbV5FpPp5q2kiLOlR6zP7wqQmcjs54T3arItNsgzfLGYxQ+J3Cv3Vd56Ezi0wFPBth0GJ3ODzoo8flMHVkbj5eGsOd6JdOJiGsUtGzpqqqiqqqv6SqagK4CEwCn1VV9Q+l2CSEEKVOpkGfE3/35g+JRvHpwnLnhn8ny51M7Rz8/Wh5TC6VK7JiwSieEI0WLq//bnQnE5S6EM4urpLJF6v+u7quE4qnm9Zt8KZDQe4a6+XdR0eacv9WGPS5WE3nb/l+GJ1Ekw0el9vT58ZhU5iObF9kem5xFe3aOu87PnbLYg3R2ew2hXv2+E0N/w7FU3iddvq3eL0mhKhfpW/NfBz4GPATgDHr8RDwDuDXLDiXEEK0lYvLiS1H5aA0Qranz93R4d+JjSJTYzKZelwOUrki+UL1F7Cb0XWdR88v4yp3LSx18Gij2D0i5QyegLfxF1SnJvvI5Is8v7ha9d8NJ7Jk8sWm5aY8cCDAH3zgbtwdtMXMKDSGbwr/nommGOlxNXxjm8NuY7K/m+nI9s+LD51ZpMfl4G0dMrYoqnNiso+FlTRXV9Om3F4onmbc75aCpRAWqrTI9OPAv9Q07QtAEUDTtK8AHwU+YNHZhBCiLeSLOjPRJAcCWxeZAA4N+jp6XK4ZmUwA65mdQ2MrcTGcYD6e5u23l7ZIXTHpBa0QzRQpdzIFPI3vZLpnjx+7Ak/V0IVgjLRIbop5guUA9fBN4d+z0WTDR+UMUwEvl7fpZFpay/Do+WXeeedIw4tgojWcnPADmNbNNB9PyaicEBartMi0H3hxk49rwKB5xxFCiPYTiqXIFnQODm7/Iv1Q0Mt8LFXRJp12lMg0OJPJXSoymTUy9+j5MDYF3nd8HIAra9LJJNpfeD2Lz2VvSkeOz+Xg9pEenpqt/uLQCOeVNePmMbb03ZjLpOs6s9EUexs8KmeYCnhYXEmT3uJ58c/PLlLU4b3HRxt8MtEqDgS99HV3mZLLVCjqLK6kZbOcEBartMikAa/b5OPvKf+ZEELsWhd3CP02HBr0onM9JLzTJHMF7Aob42ZW87lMLjJdCHN8j5+pgAeXw2Zaa74QzRRJZpvSxWQ4NdnHS1dXqw7pD8VT2BUY6XFZdLLdZ2Nc7oZOpuX1LMlcoXmdTEEPOptvmMvki3zluau87kCAcb8UBXYrm6JwYsLP6fmVuhdyLK1lyBd19vilQ1IIK1V6JfDLwO+pqvqbgAP4kKqqn6GUx/QbFp1NCCHawsVwApuy82aeg4NG+HdnFpkSmQIep6NhOQc9JhaZZiJJpiNJ3nQoiKIojPS4uCqZTKIDhNezG2NSzXByso+CDmdC1a0gD8XTjPrdOOydsdmtFfi7u3DYFJZv6GQyijvN6mTaHyg9b24W/v332jViqRwPHh9r9LFEizkx0cfSWoaFlfre/JHNckI0RkXP3JqmPQw8CLwGKAA/R2mE7h2apv2pdccTQojWdymcYKKve8dxlDG/G6/T3rlFplyhYaNyAD5X6b4SJhSZjK1ybzgYBGC01y2ZTKIjNLuT6diYH5fDxlNVjrqE4ikZaTGZTVEIeJ2E168X0GeipYvuZnUyTfR1Y99kw5yu63zxzCL7Ax5OTfY15WyidZycKP0MVPs4crPQRtabPLYIYaWKVwBpmvY14GsWnkUIIdrSxXACdci34+fZFIUDQS8Xl9cbcKrGS2YLDQv9BnM7mR69EOboaC9D5dGckV4X2rXO/D6J3UPX9VIn04HmFZlcDhvHxnqrCu3VdZ35eIo7RnosPNnuNOhzviKTaTaaxOu0b4zSNVpXecPczeHfzy2ucm5pnV9880HZAibYN9BNwOvk6fk47z5Wez5XKJ7G5bBt5JMJIaxRUZFJVdX/uMUf6UAWCAF/rWla1KyDCSFEO0jlCizE07y9wtXKhwa9/O3L19B1veNeOCcyebzOit+7qNv1TKb6gtRD8RTatXV+9vVTGx8b7XUTS+VI5wodtcJc7C7JXIF0vtjUTiYo5TJ98vEZosksAxWcZSWdZz1TkJEWCwS9TuZiqY3fz0ST7B3wNPX5aCrg4fxNRf2Hzizic9krfm4VnU1RFE7ekMtU689rKJ5izO/G1mGvv4RoNZUOur8B+I/ALwDvLv/6t5Symn4S+CSgqap6zPwjCiFE65oOJ9DZOfTbcGjQy3qmwNUO3FyWbPC4nMdpx6bU38n09fKo3BsPBTc+NtJb6mjqxO+T2D2MgOdmZjIB3Fsed6p0O9RCeaRFwp7NF/Q6idyUybSvSXlMhqmAh1D8+oa5a2sZHr0Q5p13jtAtRX5RdmKij0giy2w0tfMnb2E+npKNlUI0QKVFptPAN4C9mqYd1zTtODAJ/A3wOSAAPAz8lhWHFEKIVnUpXGrxP1Bxkak0Vnf+WuflMiUyBbyuxl0Q2BQFn8vBerq+ItOjF8LcNuxj7IZtMxtFJsllEm0skiwVE5rdyaQO9+B12ivOU5mPl/7dTfTLBiizBX1OVtJ5MvkiiWyea+vZpuUxGfYHSptXZ8sdVl9+7grFos5775bAb3Gdkc31VBWjtzfSdZ1QPM2ePnlcEcJqlRaZPgp8XNO0sPGB8mjcLwI/pWlaHvgd4D7zjyiEEK3rYjiBy2FjvMJ1uAeCnvLfa3zeT1HXN94ptkIim8fT4HedfS5HXZ1MS2sZXriy9oouJiiNywFc6bANc7lCkWer3PIl2pfRyRRocieTw6ZwYqKv4iKTEc471isXg2Yb9JYK6JFEdmNsbm/Ti0zGhrkE2XyRr5y9wgMHAhLOLF5h3O9muMfF0zUWmcKJLJl8UX6uhGiASotMCtC7ycf7uJ7rVACKZhxKCCHaxcVwgqmAB7utsvl+r9PBnj53UzbMfeHpBX7wD54kX7DmoTrR4OBvKIV/11NkMkbl3nRTkWnQ58KmdF4n0yMvLvETD51lsc410KI9RJI5AIJN7mSCUhfCwkq6op+9UDzFkM8peWgWMAqOy+sZZqKlTtxmj8vt7e/GrsDlSJK/15aJpXI8eFy6mMQrGblMT8+vUNT1qv/+fLl4PSGdTEJYrtIi01eA31dV9fWqqrpVVe1WVfUNwP8GvqqqajelvKbTFp1TCCFa0qVwouI8JsPBoLcpRaZ/0JaJJnMbK6vNpOs6qVwBr6txwd8APS4763UUmR49v8zBoPeWd/IdNoVBn6vjOpkuhks/d/Mx838GROuJJLI4bAq93Y39d7mZU1XkMs3H09JtYJHB8ha5SCLLTDSFXYE9Tc6+6rLbmOjvZjqc5KEzC+wf8GzkeAlxoxMTfcRTOS6Fq38NFYqVCtzy2CKE9SotMv1r4CXg60ACWAf+AXgR+FfA9wJvA37egjMKIURLiiazRJM5Dg5WV2Q6POhjPpYiZeHo2s3iyRwvXV0D4Pyy+aN66XyRog7eNhqXCyeyPLuweksXk2G019Vxwd9G58LCihSZdoNwIsuAp6slNilNBTwMeLp4ci624+eGJJzXMsGNTqYsc9Ek433dOB2VXg5YZyrg5TuzMc4trfPg8bGO274qzHHSKFbPVz/2HVpJYbcpjMgYrhCWq+hZRdO0hKZp7wGmgPdS2i53SNO0BzVNWwH+RtO0cU3TnrXwrEII0VIulruRKg39NhwcLIWcTtfwTlytvjsbw2gu166ZX2RKlAs9jQz+hvK4XI3B39+8GEYH3nh48yLTSK+748blLkeMIlNnFc/E5iKJLEGfq9nHAEqjLqcm+zZWkG8lkc0TTeYYl5EWS/R1d2G3KYTLnUx7+1ujmLc/4CGTL+Jz2Xn77cPNPo5oUaO9bsb9bp6uMN/tRvOxNGO9LhwVxhsIIWpX8VsXqqo6gBylkbhngaKqqodVVf2QpmnyalUIsesYo0fVjssdKnc+nW/gyNwTM1H8bge3Dfs4b0WRKVvqymp4JpPbwXqmto6wR8+H2dvfzYHA5qG3o70urq1lyBerz35oRcYmKUAymXaJSCJLwNPV7GNsODVZWkE+XS52bmbB2CwnnUyWsCkKAU8X19YzzMWSTd8sZ5gqPw6/886Rhj+PiPZycqKPZ0IrFKp8bg7FUzIqJ0SDVFRkUlX1+4AQMAdcLv+aBs4B/8uy0wkhRAubDifp7+4i4K0uVHfM78bTZd/ohLJaUdd5YibGq/f1c2TYh3YtsW0nQS2MIpPX2djsF5/LQTJXqLoQFE/leHo+zpsOB7ccyxjpcVHQIbzeGe+jGJuk7AosdliHlthcqZOp+aHfhlOT/cD2uUyhjXBeuRi0yqDPxfOLq2QLOnubHPptuHeynzceCvLBE3uafRTR4k5O9rGWyVc1+q/rOvMyhitEw1TayfQbwHeBNwNJ4J3AvwBiwI9acjIhhGhxF8MJDgSrfxfYpigcHPRywYJspM2cv7ZONJnjNfsHODzoYy2TNz1rKLlRZGr8uBxQdfj3ty5GKOi3bpW7kZHbcLVDwr+NUbljY73SybQL5Is6sWSOQAtsljOM+UujLk9tW2Qq/WzKuJx1Bn1O5stf51bpZOrzdPFb77yd4Z7WGO8UrevkhB+obImAYSWVJ5EtyOOKEA1SaZHpNuDfa5r2deAMkNU07f8APwv8G6sOJ4QQraqo60xHElXnMRkODXq5EDa/o2gzT8yUgnZftbcfdcgHYPrIXCJbKvI0fFyuxiLToxfCjPW6Nr4emxktF5murHVGQWY2msSuwL17+4mnchvfM9GZYsksOlTdaWm1k5N9PB2Kb9l9OB9P0d/dha/Bmyp3kxt/Jm7erClEqwv6XOzt7+bpKsK/56VDUoiGqrTIlAPWyv99ATha/u9vUSpACSHErrK4kiaVK1adx2Q4NOhlPVNoyPayJy5HOTLkI+B1cnDQi4L54d/NG5crFbWq2TC3nsnz3dkYbzo8uO0Go5He0jvqHdPJFE0x3te9cVEp3UydLZwo5W8FW6zIdO9kH+uZAtrS2qZ/HlpJs0e6DSw1WB6h7Ovuoq+7dTK7hKjUyck+zoRWyBeKFX2+FJmEaKxKi0xPAx8t//fzwPeU//sw0Lgd3EII0SKMPKWDg7UVmYzi1AWLc5nW0nmeW1zlvv2lLJTuLjt7B7o5f83c+002KfjbV0Mn07cuRcgX9W1H5aD0terr7uJKh+QXzUST7B/wMOYvXcBLkamzRcpFplbsZAK2HJkLxSSc12pG4XFfi+QxCVGtkxN9JHMFzi1V9obZQjyNAhvPf0IIa1VaZPpl4OdVVf048HngPlVVzwB/BnzVorMJIUTLMjbLTQVqLDINGkUma3OZnpqLUdDhvn0DGx87POizrJPJ16RxubUqNsx9/UKYIZ+TO0Z7dvzckR5XR3Qy5Ys687EUewc8jJfHABekyNTRwuVNgq0U/A0w4HFyMOjdtMiUzRdZWstIJ5PFgr5Sl6aMyol2dcLIZZqvLJdpPp5iuMeF01HxYnUhRB0q/Zf2OKWupYc1TVsGXgv8PfDrwE9ZdDYhhGhZl8IJxv3umjt3vE4H43635Rvmvj0Tw+eyc3Ssd+Njh4d8XF3LsJLKmXY/yWwemwKuBr+A63GXO5nSlXUyJbMFnpiJ8cZDQWzbjMoZRno7o8i0EE+RL+rsD3Tj73bg6bJLJ1OHiyRLRaaBFgr+Npya7OPs4iqZ/CtHXRZX0uggnUwWu97JJEUm0Z76PU4OBD08XWGRKRRPsadfHleEaJRKrwbOAknUICcAACAASURBVEFN06YBNE17SdO0f6tp2n/VNK39X30LIUSVLoYTNecxGQ4NejlvYZFJ13WeuBzl3sl+HLbrBRV1yPxRvUS2gMdp3zbjyArXO5kqKzJ9+3KUTL7Imw5vPypnGO11c2U13ZCAdivNREt5FPsGPCiKwpjfLUWmDhdez9LrdjS88FuJk5N9ZPJFnl9cfcXHjdwUKTJZ60DAw3vuGuV7KnwcFKIVnZzo49mFVbL5nXOZ5uNpJqRDUoiGqfSVRxBIWnkQIYRoF5l8kflYigM15jEZDg16mY+lSOesiba7FElybT3Lffv6X/Hxw+WNamaOzCWyhYaHfkMpA0qh8iLTP54PM+Dp4q4xf0WfP9LrIp0vspJq701sM9HSU7jRuTDmd7PYIVlTYnORZI5AC3YxAdyzx49dKY3z3ihULnzKxaC1HHYbv/jmQxsbNIVoRycnSsXqF69uvkTAsJ7JE0/l2OOX4rUQjVLpFcF/B/5MVdXfBS4DqRv/UNO0b5t9MCGEaFUz0SQFvfRucD0ODfrQKY3e3THau+PnV+uJy1EA7ts/8IqPD3icDPqcnDcxD8roZGo0m6LgczkqCv5O5wr80+UIb7ttGLutso6rkfJF2NW1NH2e9t3CNBNNEvQ6N4LSx/1unpyNoet6w7vPRGNEElkCLZbHZPC5HNw+0sNTcyuvyFwIxVJ4nXbZeCaE2NE9E34USrlMx/ds/cZRyOiQlHE5IRqm0k6m/wIcBf4vpSymx2/49Zg1RxNCiNZ0KVzfZjnDoUFrN8w9MRPjQNDDcI/rlj8zO/w7mc03PPTb0OOyV9TJ9N3ZGKlcccetcjca7S197a60eS7TbDT5ik1SY3436XyRmIm5XKK1hBNZAi1cGD012cdLV1dfUSAOrZQ2y0nhUwixk153F4eHfDvmMs3HpUNSiEartMi0f5tfU9YcTQghWtPF5QRddoXJOnNDxvxuPF12S4pMyWyBZxdWXrFV7kbqkJeZSPKW4N167q8ZnUxQ6opYqyD4+9ELYfxux8ZWmkqM9pRelF5p49EyXde5HE2+IuTXWOMsuUydSdd1IoksQe+tBeZWcWqyn4IOZ0IrGx8LSW6KEKIKJyf6eG5xddvYgZBkvQnRcBUVmTRNmzV+AQqwACze8DEhhNg1LoYT7Bvw4LDXF6hrUxQOBL1cCJtfZDo9HydX0G/JYzIcHvJR0GE6Ys59rzcpkwlKG+Z2GpfLFYp861KE1x0IVPV983c7cDtsbb1hLpLMsZ4pSJFpF0lkC2TyRQLe1u1kOjrWi8th46m5UhdCvqizuJJmXC4EhRAVOjnpJ1fQef7K6pafE4qnCHiddHc1540wIXajil5pq6qqqKr6S6qqJoCLwCTwWVVV/1BV1dZ9BSOEEBa4ZMJmOcPhIS8XlxOmby974nKU7i4bd49v3rVzeLAc/r1kzshcMzuZelwO1jLbh6c/ORdnPVOoeKucQVGUjQ1z7Wom8srQb4CxctbUghSZOlI4kQUg2KKZTAAuh41jY70bRaaltTT5oi6dTEKIit09XloicHp+ZcvPkc1yQjRepW/nfhz4GPATgPF27kPAO4Bfs+BcQgjRklbTOa6tZ00rMh0MelnL5FlaM69TRtd1vj0T4+REH84t1peP97nxOu2cN2lUL5HN423muNwOnUxfPx/G67Rz7+TmnV3bGe51mfr9abSNzXI3BNV7nHb6u7ukk6lDRcpFplbdLmc4NdnHxXCCaDJLKFb6WZSRFiFEpXwuB0eGezg9t3UuUyiekscVIRqs0iLTjwP/UtO0LwBFAE3TvgJ8FPiARWcTQoiWcylcumA/UGfot8GK8O/5eJrFlfQtW+VuZFMUDg16TQn/1nWdZLbQtCJTzw7b5fJFnW9cDPPAgcCWRbftjPa62jr4eyaaxNNlZ+imrpbxPrd0MnWoSBt0MgHcO9kHwOm5OKEVyU0RQlTv5GQfL15dI5m9taM5nSuwvJ5lj3QyCdFQ1QR/v7jJxzVg0LzjCCFEa7tobJYzq5PJgiLTty9HAbbMYzKoQz4uLK9TrHNUL50vUtTB06xMJpeDRLZAvrj5/8cz83FW0vmqtsrdaLTXTTyVI7VNsGgrm4km2Ttw68ausV63dDJ1qHCbdDKpwz34XHaemoszH0vjtCsMtnhhTAjRWk5O+CkUdc4u3joyF1oxNstJ8VqIRqq0yKQBr9vk4+8p/5kQQuwKl8IJfK5bu0Jq5XU6GPe7TS0yPTETZbK/e8eOgMODPlK5IqF4fYWGRPndw2Z1MnldpftNbNHN9OiFMG6Hbcei21ZGeksbuto1/HsmmnpFHpNhzO/m6lqGwhbFOdG+IoksXXaFXndzCr+VctgU7tnTx1NzcRZWUoz3dWO7qRgqhBDbuWvcj8OmcHpukyJTTDokhWiGSotMvwz8nqqqvwk4gA+pqvoZSnlMv2HR2YQQouVcXC6Fft/cFVKPQ4NeLiybE8CdzhV4en6looLK4aFSF1W9I3NGi3ozg78B1rO3FpmKus43Lka4f2oAd42bZUZ6Sm32V9far+snmS2wtJZhf2DzIlOhqHNtvT2LZ2Jr4USWgMdp6uOUVU5N9rGwkuZMaIU9fhlpEUJUp7vLzp2jPZyevzWXyehkknE5IRqroiKTpmkPAw8CrwEKwM9RGqF7h6Zpf2rd8YQQonXous6lSIIDJo3KGQ4NepmPp0ibMI717MIKmXxx2zwmw1TAi92mcL7OIlOiXNzxNnFcDmA9fevX77mFVSKJbM2jclDKZALaMpdpNlbKENu7RScTICNzHSiSyBLwtsfY2alyLtNKOs9Ev3QbCCGqd2Kij5eX1m7JZwzFU/jdDnrdsgxdiEaq6IpAVdUpTdO+BnzN4vMIIUTLWlrLsJ4pmJbHZDg46KOow6VIkjtGeuq6rSdmYjjtCif2+Hf8XKfDxlTAY1onU9OCv8sjQZttmPvHC2GcdoX7p3Yuum0l6HNhV+DqavsVYzY2yw3cevE+Xi4yLcTTnJho6LGExcKJLHv87VGwmQp4CHidRBJZGWkRQtTk5EQff/idOc6EVnjgQGDj4/Mx2SwnRDNUOi53UVXVx1RV/ZiqqvVdAQkhRJsyO/TbcLgc/n3RhJG5b1+Ocs+evopHww4P+ThfZx7Ueqa543I+1+ZFJl3X+fqFMK/eN1BXl5XDpjDU054b5mYiSezK5qGnIz0ubAostGHxTGwvksi1TSeToiicnCgVxWWkRQhRi6NjvTjtyi0jc6F4Sh5XhGiCSotMrwaeBn4VWFJV9U9VVX2bqqrV74IWooV9/UJYRkfEli6WizFmj8uN+d14uux1h38vrqSZiaa4b3/lAdeHB71EEtmNbVS1SOaMcbnmZjLdXGR66eoaS2uZukblDCO9bpbasBgzEy2FKXfZb326dthtDPe45DGvw+QLReKpHME2KTIBvHYqgF0pjfAKIUS1XA4bx8Z6OT13vciUKxS5upaRzXJCNEGlmUxPapr2s8Ae4F1ACvgCsKCq6m9beD4hGiaTL/KLf/kSf/LMQrOPIlrUpUiS4R7XxniWWWyKwoGgt+4i03dmogC8Zl/lo2HqkA+grlympo/LGZlMNxWZHr0QxmFTeOBA7aNyhpE27WS6HE2yf5M8JsOY3y1Fpg4TSeYACHjbJ4Pk+44M8vDH7mW4x9Xsowgh2tSJiT4uLCdYSZUeAxdX0hR12SwnRDNU1YmkaVpR07S/o7RV7ncAD/BTVhxMiEabj6Uo6rAsm5bEFi6FE6aPyhlKG+YS6Hrt6+SfmIkx2uti7yb5O1s5PFh/kSlRHpfzupoT/O112VGAtfT1IpOu6/zj+TCnJvtMCfwc7XWxvJ4hX6z9+9No+aLOfCy1aei3YaxXikydJlLuSgx426dgoygKI70y0iKEqN3JiT504JnQCgChuGyWE6JZKr4iUFV1FHgf8AHgJPAE8PPAQ1XcxruAXwGmgBjwaeBXNE0rbvK5Z4AjlLbZGU5pmnau0vsTohrGFqbl9drHhkTnyheKXI4kuW9f5aNo1Tg06OXPn7vC0lqmpoutXKHIk7Nx3nrbUFVry3vcDsZ6XWjXau+iSuQK2BRwO5ozQW1TFLwu+yvG5c4vJ1hYSfOj95qTaD3S66ZQLkKPtsnF8EI8Rb6obxr6bRjzuwknsqRzhYpzvERrM0Zfg23UySSEEPW6Y7QHt8PG6bk4bzwUJBRPAcjWSiGaoNLtcl8HXgssAJ8FPqRp2sVq7khV1YPAF4F3a5r2SPn3jwEzlIpNN36uC7gDOKppmlbN/QhRK2MLk3Qyic3M/v/s3Xl8I/ldJ/xP6bZ12Zbks7vd7rZbM9MzPZPMTOZOpgcIGwiZIYRrH84ssCSTDSxsyD7w5HmAZ2EfckACyZJlAzzwwANPZgIBAsuZmcw9mSSke051223J3bZl67IlVelWPX+Uyn350FFVKkmf9+vF60W61apf98iy66PvkVFu2LWex6RaaAz/Pp8Q2wqZzq5lIVVqbYVgyvDvTiqZqhh2WFsKt7Tmddquapf78vkkLALwtvnAPn+qeVM+pSoknu2dkCmaVn7AngvsXck00/iEdz1b2vdx1DsuVzL1zkwmIqJO2a0W3Dbj3xn+fXGrgGG7FaNDDNyJjNbsx84xAG+PRCJHI5HIRyKRyGI4HPaHw+EPhMPhs808QSOUCjQCJgFACIAdQGKXh98GZe7TuSbPR9SxWOOGLJEvd9SyRP1pSafNcio1vFI32LXqueUMrBYBdxwZafnPnhj34GKmsDNbqVVSuYbhLlfBeJw25EqXz//EuSTefHgEo8Pa3GhPetUwpnday2KN4PzoAe1yANgy10eSDJmIaEDdftiPCykJaamMS1tFHBpxdfUDMKJB1VQlUyQS+TH1/w+Hw/cC+CkA3wtgCMCZZi8WiURy4XDYBkAE4ADwOIC/3+WhdwDIA/hyOBy+BUq1069EIpG/afZaRK1SK5mqdRnbhSpGhvnJB122mBRhFfa/Ye+Ex2nDtN+Fc222rT0fTeO2GR88bcxFCo97IAM4n8jj1hl/y39eLNfgdnRnHpPK67TttMtdSIlYTkv43jdNa/b8k1dUMvWK5bSEoNux72tixq+ETKsMmfpGSizD77LtulGQiKifqR+0ff3iNi5uFXaqxInIWM22y/kB/AiUcOmmxi//I4CPRiKRJ1q8Zg2AD8ARAH8B4DMA/v01jxEAvATgwwCWAbwbwGPhcPjBSCTyQrMXCgQ8LR7NvEIhb7eP0NdkWcbFrSLGvU5s5kqoOmz8NzdQL/xbX8yWcCzkwcxU6yFMs26e8WMpkW/532MjW8T5hIgP/5sb2vq3vMduA/Aq1gtVfGsbf74CwO92dPW/Y8DnwsW0hFDIiz87G4cgAO+5axYhDVvbAm4Htiq1lv+e3fp3Wc2VsDDh3ff6waAHTpulrb8XmVOuUseE32Xof0++dqif8fXdOx4Yc8PjfAVnN/JYzxbxnbdO879fE/hvRFrbN2QKh8P3QQmW3gOlaukbAP5XAL8G4OcjkchrrV4wEonIAEoAzofD4V8F8DlcEzJFIpFPA/j0Fb/05+Fw+Ica52g6ZEql8qj30CagvYRCXiQSuW4fo68l8iXkS1XcNzeKf3gjgcjFDII2ltcaoVde36+tZXFyUt+zHvE58c+vb+Di2lZLQ5i/9EocAHAqNNzW+WyyDL/Lhq9dSOHftDHDaCtfxpDd0tX/jg4B2BLLSCRy+JtvruLUlA9CqYJEoqLZNcY9Dixv5Fv6e3br9S3LMs5v5PDtN4wfeP0pnxOL8VxPfB3SwdYzEkacNsP+e/bKezhRO/j67j23zfjwpbNrqNRkjHX5Z5NewNc4tcNiEfYt6NmzljocDr8C4CkoA7h/DcCJSCRyRyQS+Wg7BwmHw98VDodfuuaXXVC2zF372EfD4fB37PLYQjvXJjqIOo/pzkaZbZLDv+kKYrmKte2ibvOYVAvjHtRl4EJKaunPPb+cQdDtaLssXBAEZfj3ZnvDv8VyFe422vS05HEo2+UuZgo4nxDx0Img5teY9LkQz/VGW1lKqiBfqmGuifbOab+LM5n6SFIscx4TEQ2s2w+PIN+Y0cjNckTdsV/D/g0AzgP4EoCnWt0mt4sXARwLh8O/EA6HreFw+CYAHwHwu7s8dhrAp8Ph8EI4HLaFw+EfB3AvgD/q8AxEu1LnMd1+WAmZEvlyN49DJnMhqbw+9Nosp1oIqhvmmg97qnUZX13J4J6jox0NtzwR8mApKaLaRvWnVK5h2NHdwd9epw1iuYZ/PqfsknhoQfuQacrnxHq21BOLAZoZ+q2a8Q9hdZuf4fQDWZaRYshERAPsjsOXxxocGmHIRNQN+330PAPghwH8KICPhMPhDSiDuh8H0PJP2JFIZDMcDr8DwG8C+CUAm1ACpk+Gw+EjAF4D8I5IJPI0gF9unO0JAKON3/sODYIuol1F0xKG7BbM+F0YGbIzZKKrqBvfjgf1XfE+M+LCkN2C84nmh3+/up5FtljFPXNjHV07POFGuSYjmpZartgSyzV4uh0yuZRvZ196dQM3TXoxqeEsJtWkz4VStY6tQkWzrXV6WW5Uwx0NNFfJlC/VkC1W4HNx4UEvy5WqKNdkBBkyEdGAWgh54HPZUKzUEPLwvZCoG/YMmSKRyAaAjwP4eDgcvhPAjwH4twAebTzkp8Ph8McikcjFZi8WiUS+CuD+XX5rBYDnisdVoAz9/nCzz03UiVimgNnRYQiCgJDHgQTb5egKS0kRQ3YLpv3aBxdXsggC5oPulkKm56MZWATgLY1Wz3adCClvwec28y2FTLIsQypXu17JpG5QW8kU8IEH5nS5xpRX2TC3ni2ZPmRSg/PxJn7AVl/Xa9tFhkw9LiUqM8hYyUREg8pqEXDP0VGsbhdh6aDCm4ja19R+20gk8lIkEnkUwBSAHwDwPwG8D8CFcDj8Fzqej8gQsbSE2TGlpDbodiApspKJLltMijgedBvyw8pCyIPFpNh0S9bz0QxOTvrgH+osHJgdG4bTZkGkxblMpWodNRkYbmFQuR68V8yE0qNVDgCmGtVR8Zz5Q+hoWsLRseGmWihnfJdDJuptSVF5bbKSiYgG2S+9/QR+53tu6fYxiAZWUyGTKhKJVCKRyGORSOSdAA4B+EUAC7qcjMggxUoN8WwJs43ZJUolE0MmUsiyjMWEqPs8JtV8yI1ssYqNJoKMjFTG6/Ec7pkb7fi6NouA40E3zrVQRQUorXIAuj74Ww2ZFkJu3QZ9TviUSqZ41vxhTDRdaGoeE3C5kmmVIVPPYyUTEREwZLfuVDgTkfHa/uprtNN9rPF/RD1rJVOAjMsDckMeJ9JSGdW6DJuFZbaDLiWWsV2s6r5ZTnWisSFuMSkeOFfoxdgWZAD3djiP6cprP3E+CVmWmx4iLqkhU7dnMjV+mNSrigkA/C4bhuwWrGfNXckklWvYyJWaDpm8Lhu8ThsrmfpAqlGFy0omIiIi6paWKpmI+lEso2xVOtpolwt5HKjLQJotcwRgqbFZzqiQ6fjOhrmDK4qeW05jZMiOGyc8Bz62GeFxD7abrKJSieUqgO6HTPMhN376vlm857Zp3a4hCAImfS7TVzLFMs0P/VbN+F2sZOoDSbEMh1WAx9ndr0ciIiIaXAyZaOBF0xIEAIdH1JlMSktMgiET4fJmOaNCJo/Thmm/68CQqS7LeCGawV2zI5rNijoxroRVkc3mW+bUdrluD/62WgT8u7tnMdLhbKqDTPmciJu8kimaboRMY823DU77Xaxk6gMpsYyg29F0JSIRERGR1hgy0cCLpSVM+ZxwNQYXj3uVNoMkN8wRlJAp4HZgZNi4rVsLQTfOJ/YfwB3ZzCNTqGjWKgcoQZoAZcNcsy6HTIMx+2DS68K6ySuZoikJVuFycN6Mab/y96o3OXCezCkpljmPiYiIiLqKIRMNvFi6gCNXzC4JNX5A3+TwbwKwlBRxvIW2Iy0shNxYyRRQrNT2fMzzyxkAwN1HOx/6rRp2WHFkdAjnDgi4rmSWmUxGmfQ5sV2sorDPf5tui6YLmBkZgt3a/Lf4ab8L5Zq8M9OHelOKIRMRERF1GUMmGmiyLCOWka4akDs67IBFYCUTAbW6jAspCfMhY1rlVAshN+oysNxoe9rNc8tp3DjhwdiwtjeUJ8Y9LVYymWMmk1GmGsPYzVzNFE1LTQ/9Vqkb5tgy19sYMhEREVG3MWSigbaZL6NQqWP2ipXnVouAgNuBBCuZBt6lrQJK1frOMG6jLISU2Ujn95iNlC1W8PJ6FvdoWMWkCo97sJYtIVusNPX4y5VMg9EuN+VTZraZdS5TtS5jJVNoOWSaaYRnHP7du8rVOraLVW6WIyIioq5iyEQD7fKA3KtvyEIep2lCJpkzUrpmyeCh36qZEReG7BacT+4eMr20soW6DNxzVLt5TKoT481vtwOUmUwCgCH7YHw7mWyEMWbdMLe2XUS1Lrc09BsApvwMmXpdWlK+Z7GSiYiIiLppMO4KiPYQSxcAALPX3JCF3A4kxO5XKkjlGr7tvz2PJ84nu32UgbSYFCEAOGbwTCaLIGB+n+Hfzy9n4HFacfO0T/NrnwipG+aaa5kTyzUMO6wDs80q6HbAahGwbtJKpuWUEpzPtfiaddosCHkcbJfrYeo8LVYyERERUTcxZKKBFktLcDus1/1QHvQ4kDRBJdPqdgHbxSreaGFGDmlnKSnh8OjQzuZBI82H3FhMiNdVssmyjOejadw1OwqbRftgJ+B2IOh2ND2XSSpXB2YeE6C00054HKadyRRrVGfOjrYejE77XAyZelhSZCUTERERdR9DJhposYyE2bHh66owxj3KBqlStd6lkynUuS/c+NQdi0nR8HlMqoWQB9vF6nVbDpeSEjbzZV3mMalOjLtxroV2ueEBCpkApWXOrDOZomkJAbcDXlfrM7Km/QyZelmKIRMRERGZAEMmGmjRdOGqod+qoEf5IT3R5Q1z8RxDpm4pVmq4tFXAfNDYVjnVQiPcWrwm7Hk+mgYA3K3DPCZVeNyDCykJ5SZCVrFcG5ih36opn3Pna9NsomkJcy3OY1JN+13YzJdQqXU3XKf27FQyDdu7fBIiIiIaZAyZaGAVKjVs5Eq7bmEKNUKmbrfMqdUS3T7HIFpOS6jL6Fol03xIue65a+YyPRfN4HhwGBNep27XPhHyoFaXcSF1cDWTWBq8SqYJnwuJfAlVk4UxsiwrwXmLm+VU034X6rJ5N+fR/lJiBSNDdtis/NGOiIiIuoc/idDAWtlj6DcAhNzKDXyiyxVEGzmldSXJSibDqRVE3QqZPE4bpn3OqyqZxHIV37y0jXt1rGIClEomoLnh31JlsGYyAcCU14m6jOtaGbstJVWQK1Ux12bINNPYMMeWud6UEssc+k1ERERdx5CJBlZUHZC7TyVT19vlGhUFaamMWl0+4NGkpcWkCKfNgsMj7bUeaWEh5MH5K0Kmr61so1qXcc+cfvOYAGBmxIVhuxXnNg+uZJLKtcELmXxKGGO24d/q0O/dqjOboYZMqyb7e1FzkmIZATdb5YiIiKi7GDLRwIplJAjAriGCz2WDwyog0e12uVwJAoC6DGQKla6eZdAsJUXMjQ3DqsMGt2bNh9yIZaSdAfTPR9MYsltw67Rf1+taBAELIfd1rXq7GcSZTJM+pdJxw2RzmZZTanDeXjAa8jhhswisZOpRrGQiIiIiM2DIRAMrmi5g2u+C03b9l4EgCAh6nF2tZKrWZSTyJcwFlKqElMlac/rdUlLC8VB3WuVUJ0Ju1GXgQkqELMt4fjmNOw6PwLHLa1Zr4XEPzm2KqMt7V9DJsjyQ2+XUeVhmq2SKpiUM2S1tz+uyWgRM+pwMmXqQLMtISWVuliMiIqKuY8hEAyuWlvb9xD/kdnR1FlIyX0JdBm6e8ir/W2LIZJStQgVJsYz5Ls1jUs2HlNlI5xMiVjIFrGVLuHdO33lMqhPjbkiVGla39g4cStU6anV54EIml92KsWE71k02IDuWLuDo2DAEof3qu2mfiyFTD8oWq6jUZIZMRERE1HUMmWgg1WUZsUxh39klIY+zq+1y6jymk1M+AKxkMtJSUplFNB9sb7aNVg6NuOCyWXA+IeK5aAYAcPdRfecxqZoZ/i1VagAwcO1yADDpcyFuskqm5bTU9jwm1cyIC6sMmXqO+oEI2+WIiIio2xgy0UDazJVQqtb3XfUd8jiQyJcg79MupKd4Y97LyclGJRM3zBlG3ejW7UomiyBgPuTGYiKP55fTODI6hEMGDSKfC7hhtQj7zmUSS2rINFiVTAAw5XPuBMFmIJVr2MiVOg6Zpn0ubBUqkMo1jU5GRkg1vj+wkomIiIi6jSETDaSdzXKj+7TLeRwoVOoQu3Szpc57OTI6BK/TxpDJQItJEX6XzRQ3bAshNyKbIr5xaRv3GFTFBABOmwVzY8P7bphTg4hBDJkmvS7Ec90Loa8Vy6ib5ToLIacbG+bYMtdbkgyZiIiIyCQYMtFAiqYLAPZf9R3yKMNzk11qU9vIleB32TBktyLY5flQg2YpKeJ40N3RbButzAc9yJWqKFXruMegeUyq8Lh733Y5sVIFgIGbyQQoG+ZK1bpptj6qwfnRQIftco2QiS1zvSXFdjkiIiIyCYZMNJBiaQkepzK8dy8hj/LD+maXNszFsyVM+pQbvoDH0bWwa9DUZRlLSanrrXKqE40Nd06bBbcf8ht77XEPkmJ55wb2Wjvtcs7Bm8k05VM3zJmjZS6aLsAqAIc7bKfcqWQy2bwp2l9SLMNpswxkVSERERGZC0MmGkjRzMFbmNRPhLtVQRTPFTHZWEUedDuQEs1xM9vv1rNFSJUajofMETLNN87xpkN+uOzG3kCqw7/3msu00y5n8LnMQA2AN0wSxkRTEmZGhmC3dvZtfWTIjiG7he1yPSYllhF0O0xRfUlERESDBaXxMgAAIABJREFUjSETDaSVtLTvPCbgcrtctzbMKZVMl0OmpFg2zfyXfraUVNqOzFLJ5HHa8GNvOYwfvuOQ4ddeaARce81lEsuD2y5nvkqmzjfLAYAgCJjxD2F1q6DBqcgoKbHMeUxERERkCgyZaOCI5So28+V9N8sByo2z22FFogvtcvlSFWK5hokrKpnKNRn5Ejc+6W0pqQQqx4Od37Br5dEH5vCWWeOGfqt8LjumfE6c22MukzoU3+0cvJDJ67Rh2G7dGdDfTdW6jJVGdaYWpv0utsv1mJRY4TwmIiIiMgWGTDRwVjLKJ/QHhUyAMpepG5VM6mp0tSWn2617g2QxIWLa54TbMXhzhnYTHvfsOfxbbZcbGsB2OUEQMOlz7nytdtPadhHVutzxZjnVtN+Fte0iKyd7SEpiJRMRERGZA0MmGjg7W5iauCELepzdCZlyShWBOpMpsBMydf+Gtt8tJkUcM0mrnBmcCHmwkimgULm+ik4s1+B2WGEZ0DkwUz4X4rnuf01efk/TrpKpUKljyySb82h/pWod2WIVAffeiyyIiIiIjMKQiQaOuoXpkP/gkGnc4+hKsHO5kulyuxzASia9VWp1xDKFnVlEpGyYk6FUeF1LKtcGch6TSqlk6n5bWTSlccjUqKDk8O/ekJaU7wtslyMiIiIzYMhEA2clLWHa74LDdvDLP+hWKpnqBreNxHMl2CzCTgVT0NMImbo0hHxQRNMSanXZNEO/zSA8rvxb7NYyJ5arA70yfcrnwnaxutM22C3RtISA2wGvS5sWzxm/EjKtMmTqCer3BbbLERERkRkwZKKBE00XmprHBCgzmap1GdsGt43Es0WMe507bUhuhxVOm4WVTDpb3Bn6zZBJNeF1wu+y4Vxit5CphuEBnl2ltrN2e/h3NC1hTqN5TIDSLgcwZOoVKZGVTERERGQeDJlooNTqMi5uFTA72nzIBMDwuUwbudLODSygDBkOuh07NxOkj8WECJtFwOyodjfsvU4QBCyMexDZvL5dTmS7HAB0dfi3LMstBefNGHZYMTpkZ7tcj1A/fGAlExEREZkBQyYaKPFcEaVqvektTCGPchOZMDjciWdLOzewKoZM+ltMipgLDMNm5VvjlU6E3FhKiqjWr24blco1eAY4ZJpqzC5SB/V3Q1qqIFeqajaPSaVumCPzS4llCABGhxkyERERUffxTooGSixdAICW2uUAIGHgBqlqXUYif3UlE6DMZWK7nL4WEyLnMe0iPO5BqVrHSka66telcnWgK5mCHgdsFgHrXaxkUjfLzekRMplgqDkdLCmWMTpsh80ymFseiYiIyFwYMtFAubzqu7lKpkDjk2EjK5mS+RJqMjDRqJJQBd0MmfSULVawmS8zZNrFiXEPgOuHf4vlGtwDPJPJIggY93Z3w5z6njar4UwmQAmZ1rMl1OrGLj2g1qXEMlvliIiIyDQYMtFAWckU4HPZMDJkb+rxDpsFI0N2Q7e6bTSqpq6tZAq4HciXaihWurvJql8tJZWb9eMhhkzXOjo2DIdVwLkr5jLJsjzwM5kAYMrn7Gol03JKwpDdgolr3i86Ne13oVaXsZnv3t+NmpNkyEREREQmwpCJBko0LWF2dBiC0HxbQcjjMPRGSx0ifO1MJvUmgtVM+jifUAIUVjJdz2YRcDzovqqSqVyTUa3LcA94yDTpc3W1kimWLuDoWGvvac2YaWyY41wm80uJZW6WIyIiItNgyEQDJZouNN0qpwp5HIZWMsUblUzXViaoNxEc/q2PpaQIr9OGcQ9v1nZzYtyDc5t5yLLSPiWVqwAw8CHTlNeJpFhGtVbvyvWjaUnTzXIqNWRaZchkanVZRkqqsJKJiIiITIMhEw2MfKmKlFhu+YYs5HYaOpMpni3C57JdN+smyEomXS0mRcwHta8I6RfhcQ+2i1VsNgJXsay0bbJdzoW6DGx0oa1MKtcQz5U0H/oNKO26FoGVTGaXLVRRq8usZCIiIiLTYMhEAyPW4tBvVcjjQFosX7e+XS/xXGnX+SrBRoWNkVVVg0KWZSwlRcyHPN0+immdaMyqUlvm1JBpkAd/A8BEo6013oW5TOq2v1bf05phs1ow7nEyZDK5pKR8P2AlExEREZkFQyYaGLFMAQAwO9piJZPHARnGtalt5ErXDf0GgJEhO6wWASmJIZPW4rkSxHIN80HtK0L6xULIAwHAuUbIJLGSCYBSyQR0J2RaVoPzgD6v22m/iyGTyaUaHzqwkomIiIjMgiETDYxoWoLVIuDQiKulPxf0KIFP0qB2mHi2hEnf9We0CAICw8ZuuhsUi42h38c59HtPww4rDo8OXVHJpMxk8gx4yKRWHa53Yfh3NF2AVQAO+bWvZAKUkIkzmcwtxUomIiIiMhmGTDQwYukCZvwu2KytvexDjTa1hAHhTr5URa5U3bWSCVBuJDiTSXuLSYZMzTgR8uBcI5C7XMk02O1yTpsFAbejK5VMsbSEmZEhOGz6fCuf8buQFMsoVmq6PD91Tv3QIeC2d/kkRERERAqGTDQwomkJR9sYkBtqVDJtGhAybTQ2y036GDIZaTEhYsrnhMc52IHJQcLjbqxtF5ErVpFnu9yOSa+zK5VMy6n23tOaNe3vXisgNScllTFktwz8bDQiIiIyD4ZMNBBqdRkXtwqYHW29rWR0yA6rACRF/W+04o2QabfB34Ayd8Oo2VCDZDEpsoqpCSfGlcHo5xL5nUomN0MmTPmcO1+7Rqk23tP0GPqtmmmETKtdCNCoOcl8ma1yREREZCoMmWggrGeLqNTktj71t1oEBNwOQ9rlNho3c7vNZAKUkCkjVQzbdDcIKrU6YpkCFkIMmQ4S3gmZRIglZSYTK5mUr9eNXAmybNzX5dp2++9pzVIrmTj827xSUplDv4mIiMhUGDLRQIg2tjDNtvmpf8jjNGTgdjxXglXYe1NQsLHpLs1qJs1E0xJqdRnzrGQ6UMDtQMDtQGQzD6lSw7DdCosgdPtYXTflc6JUrSMtVQy7pvqepmfIFHA74LAKDJlMjJVMREREZDYMmWggxNIFAMBsmzdkIY8DmwZsl4tnSxj3OmG17H7jroZP6kYh6hyHfrfmRMiNc5t5iOUaq5ga1MrDuIFtZdGU/iGTRRC4Yc7kWMlEREREZsOQiQZCNC1hZMiOkaH2NvAEDRq4Hc+V9twsp54DgCFVVYNiMSHCZhHamtc1iMLjHiynJGwXKpzH1KB+za4bOCA7mpYQcDvgdek78Hna72Ilk0kVKzXkSzVWMhEREZGpMGSigRDLtDf0WxXyOJEtVnVf5b2RLWJij3lMAHZuJrhhTjuLSRFzgWHYrHw7bMaJcQ+qdRkvr+dYydQwpVYyGTj8O5rWd+i3atrHkMms1IpWhkxERERkJryrooEQS3e26jvk0T/cqdVlbOTL+1YyMWTS3mKCm+VaoQ7/TollVjI1eF02uB1Ww9rlZFlGtMP3tGZN+13IlarIFau6X4tao1a0MmQiIiIiM2HIRH0vW6wgLVXaHvoNXA6Z9NwwlxLLqNVlTPr2DpnsVgv8LhtSDJk0kS1WsJkvY4EhU9MOjbgwbFfCJbdD31atXjLlcxnWLpeWKsiVqoaETDPcMGdaqcagec5kIiIiIjNhyER9r9Oh3wAQ9CjBT0LH4d9qq82kd+92OeUsDs5k0shSUhmefDzEkKlZFkHAQuPfi+1yl036nFg3qJJJ3Sw3Z1AlEwCsbhd0vxa1Rv2wgZVMREREZCYMmajvxTLKDVknM5nGDWiXU1ttJvapZAKMG0I+CM4nlM1y86xkasmJRssc2+Uum/Q6sWHQTCY1ZOqkOrNZM37lGtwwZz5JsQyLAIy2udCCiIiISA8MmajvRdMF2CzCTttHO7xOG5w2CzZz+oU7GzuVTAyZjLKUFOF12nZCRGrOiZ1KJrbLqaZ8LmSLVYhl/WcXRdMFDNktmDjgvUILXpcNXqeN7XImlBLLGB12wGoRun0UIiIioh0MmajvxdISDo8MdbQ9TBCERrijY7tctgSP0wqPc/8b94DbiZRYhizLup1lUCwmRcwHhyEIvElrRXhCqWTyOFnJpFJnqRkxlymaUoZ+G/W6nfa7sGZQKyA1LyWWOY+JiIiITIchE/W9WLqgSVtJyOPQdfB3PFc6cB4TAATcdlTrMra57akjsixjKcnNcu04HnDjTYf8uHnK2+2jmMakT/naNWLDXDQtdTRjrlXTfhcrmUwoJZYRcLNVjoiIiMyFIRP1tWpdxsWtgiY3ZCGPU/eZTPttllOpn1yzZa4z8VwJYrm2M8SamuewWfB7338r7jwy2u2jmMZU42s3rnMlk1SuIZ4rGTL0WzXd2JxXZ/WkqSTFMgLDrGQiIiIic2HIRH1tbbuIal3uaOi3KuRxYDNX0q1NbSNXamrGSrAxPyjFDXMdWWwM/WYlE2kh4HbAbhV0b5dbaSwyOGrA0G/VtN+FUrW+s82Muq8uy0iL5Z3vB0RERERmwZCJ+pq6hemoBp/6B90OFKt1iOVax891Lalcw3axeuDQb+UcymNYydSZxSRDJtKORRAw4XXq3i4XTRcAwNB2uZkRpRWQLXPmsVWooCaDlUxERERkOgyZqK/FNFz1HfIo4Y4ec5l2Nsv5Dp7JxHY5bSwmREz5nAcOWidq1mSjrUxPy2kJVgE4PGJcJdNM431plSGTaahVZaxkIiIiIrNhyER9LZYuYGzYDp+r8+GoocYP85t57W8i4znl5q2ZSqZhhxXDditDpg4tcug3aWzS68RGTt8gJpaWMDMyBIfNuG/fU35WMpmN+v7PSiYiIiIyG4ZM1NeiaUmTeUzA5UqmpA6VTOqw4GYGfwPKp9ecj9K+Sq2OWKaAeYZMpKEpnxOJfBmVWl23ayynJE3af1vhtFkQdDsYMpkIK5mIiIjIrBgyUV+LZbTZLAdcrmRK6FLJVIJFAIKe5kKmgNvBSqYORNMSanWZm+VIU5M+F2Rcbn/Vmrot08ih36ppvwtrOs+bouapH3YE3AyZiIiIyFwYMlHf2ipUsFWoaPap/5DdCo9Tnza1jWwRIY8TNovQ1OMDw6xk6gSHfpMephqViHGd5jKtbxdRqcmGDv1WTftdWN1iyGQWKakCt8OKIbu120chIiIiugpDJupbWg79VoXcTmzq0S6XK+3coDYj6HHo0rY3KBYTImwWQbNWSiIAmPQqs4vWdar4WW68p811IWSa8buwmS+hqmMrIDUvmS+ziomIiIhMiSET9a1YY9W3lvNLlHBHh3a5bAkTTQz93jmH2wGpUoNUrml+lkGwmBQxFxiGzcq3QNKO+jUc16ldTg3OjZ7JBCiVTHVZn79brS4jI/VnaJ4vVfHoY2fx6npW0+dNSQyZiIiIyJx4h0V9K5aRYLcKmGqs39ZCyONAQuMKorosYyNXwmQL5ww2bi44l6k9iwluliPtORoDsuN6VTKlJATcDnhdNl2efz8zjQ1zqzoM//7008v47t9/CflSVfPn7ravX9zCV1e28F/+8TyqdVmz502JZW6WIyIiIlNiyER9K5ou4PDIEKxNzjlqRsjjRFIsoy5rd7OQFsuo1mVMtljJBABJUZ+KiX6WLVawmS9jgSET6WDK58S6TjOZounuDP0GlEomAJpvmLuYKeDPv7EKsVzDsxfSmj63GZxZVSqYFpMiPv+vq5o9b0osc7McERERmRJDJupbsbSk+YDckNuBal3GVqGi2XOq7SeTLcxkCjRuLjiXqXVLSaXl6Dg3y5EOJn0uXSqZZFlGLCN1pVUOAMY9TlgtguYh06efXobdKmB0yI4nFpOaPrcZnFnL4pYpH+6dG8XvPRfTZDtpoVKDWK4hMGzX4IRERERE2mLIRH2pWqvj0nZR80/9Q41wR8uWOXUTlTo0uBlqJVNK0i7sGhTnE8pmuXlWMpEOJr1ObORKmlY7AkBaqiBbrHYtZLJaBEz5nJq2y51Z3caXzyfxw3cexkMngnj2QhrFSv/MmStV63h9I4dbZ3z40EPzqNTq+NRXLnT8vOpmUVYyERERkRkxZKK+dGmriFpdxuyoxpVMHqXaSMsKonYqmfwuG2wWgZVMbVhKivA6bRjnDRrpYNLnQrkmI61xABzdGfrdvY2I0z6XZpVMsizjk1+5gJDHgR+64xBOLwRRrNbxQjSjyfObwRsbOVRqMm6d9uHQyBB+9C2H8Q9vJPC1la2OnlcNmTj4m4iIiMyIIRP1pVhGnxsytZJpU8MNc/FsEW6HFR5n88N8BUFAwO1AijOZWraYFDEfHIYgaDeri0g11QiLtW6Zi3Zxs5xq2q9dyPRPkQReWc/hp+87iiG7Fbcf8sPvsvVVy5w6j+nUjA8A8CN3Hsa034WP/ssiKrV628+rLnzg4G8iIiIyI4ZM1Jei6QIAaD6TSf3kWMsKImWzXPNVTKqg28Htci2SZRlLSW6WI/2o2yy1Hv4dTRcwZLdgooUFAVqb9ruQKVQglTtraStX6/jM08tYCLnxnTdNAABsVgseOB7A00vpjgIYMzmzlsWR0SGMNcIgl92KDz10HMtpCX/29faHgLNdjoiIiMyMIRP1pVhaWfXdSnVQM+xWC0aH7EhoWEEUz5ZamsekYsjUuniuBLFcwwKHfpNOJvWqZEopQ7+7WYE3o26Y6/Dv9vlvrmEtW8LPvO3YVds/Ty8EkStV8fWLnbWTmYEsyzi7lsWpad9Vv37/sQDedjyAz70Qa/s1khTLsArAyBAHfxMREZH5MGSivqTnqu+Qx6Hp4O/1bLG9SiaPgzOZWrTYGPrNSibSi8dpg8dp3Rnor4Xno2l8dSVzXWBhtOlGyLS61X7ItFWo4A9eWMG9c6O4a3b0qt+7a3YUw3Yrvny+91vmYpkCtgoV3LrLf7OfO30cdRn4ZJtDwFNiGWNuByxs+SUiIiITYshEfUdd9a310G9VyOPULGQqVGrYLlbbaoEJuB3YLlb7prXECItJhkykvymfC+saVTJF0xJ+8Uuv43jQjfffP6fJc7ZLi0qm339hBWK5ig++9dh1v+e0WXDfsTF8ZTGFWl3b7XxGO9uYx3TrjP+635v2u/Deu47gX84l8UI03fJzJ8Uy5zERERGRaTFkor6zVVBWfc/qVMkU9DiQ0Gjw90a29c1yO+dozIdKsWWuaYsJEVM+p+ZtlERXmvQ6d7ZGdiJbrODnv/gq7BYLPvHISQw7rBqcrn0jQ3YM2S1tD/9eyRTw2DfX8PAtk3sGvacXgkhLFZxdy3Zy1K47s7YNv8u25/ehH7rjEI6MDuFjX15CudraBwUpscJ5TERERGRaDJmo78R0GvqtCrkdyEgVVDWoIIrnlJu1dmYyBRgytWyRQ7/JAFM+V8ftctW6jF/80utY2y7io++6aWegeDcJgtDRhrlPP70Mh1XAT917dM/H3Ds3CodVwBM93jJ3ZjWLW6Z9e7a0OWwWfOih41jJFPAnX7vU0nOzkomIiIjMzNCQKRwOPxIOh8+Ew+FcOBxeCYfDvxIOh3c9Qzgcfm84HL4QDofFcDj8dDgcvsnIs1LvurzqW6eZTF4nZAApqdLxc8U1qGQyevi3LMt48nwSpRY/fe+2Sq2OWKaAeYZMpLNJnxO5UhX5UrXt5/jUVy7gxdgW/vO3zuO2Q9e3XHXLtK+9kOmbl7bxxPkkfuTOwzvvXbtxO2y4a3YUT5xPQpZ7s2VuS6oglinsOo/pSncfHcO3nAjiD15cafrftFaXkZHKCLCSiYiIiEzKsJApHA7PA/g8gF+MRCJeAA8B+CkAP7rLYx8E8JsAfhDAGICnAHwhHA5zyiUdKJouwGEV2qoOakaocYOkRctcPFeCRbj8nK3oVsj02kYeH/rr1/D7L8QMvW6nomkJtbrMzXKku8lG1VG71UxfPLuOP//GKn7gzTN4+JYpLY/WMbWSqZUASJZlfPIrFxDyOPBDdxw68PGnF4KI50p4fSPfyVG75sza3vOYrvUfHzwOiwB84omlpp57q1BBXQYrmYiIiMi0DAuZIpHIIoBAJBL520ZYFAJgB5DY5eE/AeDPIpHIi5FIpATgfwcwAeBbjDov9a5YRsKR0eGrVmNrKeRRQ6bOw514roSg2wGbtfUvxTG3AwJg+Ia5C43h2f/v11c1X9OuJw79JqNMNSoT2xn+/a+XtvEb/7KIu2dH8TNvu344drdN+12QKjVsFZqv5PynSAKvxnN4331H4bIfPFfqrccDsAro2Za5s2vbsFkE3DjhOfCxE14nfvKeWTy1lMLTS6kDH69+qMCZTERERGRWhrbLRSKRXDgctgEoAngOwBMA/n6Xh54E8OoVf64G4ByAU0ack3pbLC3p1ioHKNvlAG1Cpo1scafqoVU2i4DRYbvhlUzRdAFWiwBZlvHZZ6OGXrsTiwkRNouA2VH9XhtEwOVKpvUWK5nWtov4hb9+DdN+F379nTfCplNQ3okZv/L102x7V6lax6efXsaJkBvfcdNEU3/GP2TH7YdH8OUebZk7s5rFjROepgI1APiBN89gbmwYH39iCcVKbd/HqjP4AsP2js9JREREpIdurFiqAfABOALgLwB8BsC/v+YxXgDSNb8mAWhpknMgcPCniL0iFPJ2+wg9oVStYS1bwiNvPqTbv1kgIMNqESDW5Y6vkZAqOHVopO3nmfAPIVepG/r6WBfLOBZ046Ebx/F7T13A+77lBG5uoi1kP0acfyVbwvy4B1OT5plvQ/0pEJDhsFqQbSwHaOb1LZaq+PCf/itqsow/fO9bcCxkzu9fN9eU0CcnC039vX7vqSWsZ0v4+E/chsmJ/WcUXem73nwIH/niK9iSBZwY753vf6VqDa9v5vGj98y29L72699zCj/4P17AY69u4ue+7cTezx/bAgCEj4whpNNyi3bwZxTqZ3x9U7/ja5y0ZnjIFIlEZAAlAOfD4fCvAvgcrg+ZRADXlhsMA2hpp3EqlUe93nufgl4rFPIikch1+xg94UJKRK0uI+Sy6vpvFhi2I5bId3SNuixjbauAtx0ba/t5RpxWrGUkQ18f59azOBZ04/tvnsSfv7iCX/7iy/hv33sKwh5blA5i1Ov7tdVtvPnwCL+WyBATXgcuxJXX2kGvubos48N//RrObeTwqXffDB9k075OhxrB2RsXM7h7ev8fSrekCn77X87jvrkxnPA7W/o73THhhgDgCy/G8BP3zHZyZEOdWd1GuVrHwuhQS3/feZ8D335DCJ99chEPzo7g8B4Vl9F448egYhmJxP5VT0bhzyjUz/j6pn7H1zi1w2IR9i3oMXLw93eFw+GXrvllF4DMLg9/BcANV/xZK4ATuKKFjmg3sXQBADA7qu8nvCGPE8kOB3+npQoqNRkTHQwoD7odO+0TRqjW6ri0XcTRsSF4XTb85D2z+NrFbTy7nDbsDO3IFivYzJe5WY4MM+lzNT2z7L8/G8WTiyn87IPHcffRMZ1P1plhhxUjQ3asNfF3+9wLMUjlGj74trmWrxP0OHFq2tdzc5nOrCoh0KkDNsvt5mffdgx2qwUff2JxzzbBlFiGx2ltuhWPiIiIyGhGzmR6EcCxcDj8C+Fw2BoOh28C8BEAv7vLY/9vAD8UDofvC4fDTgC/CiWMesqw01JPiqaVLstZHWcyAcrw705nMm00btImG0OC2xFwO5CSKqgbNLfk0nYRtbqMo402jXffOoUjo0P47a8so2riqsGlpPK6mOdmOTLIlM/Z1Eymf3xjE3/w4kU8fPMkfuBN0wacrHPqhrn9rGQKePzMOh65ZQrHAu193Z1eCOJcQsSlrUJbf74bzqxlcXjEhUA7G0M9TvzUvbN4bjmDJxd3HwKeEsvcLEdERESmZuR2uU0A7wDwLgBpAH8F4LMAPhYOh4+Ew+F8OBx+oPHYfwLwcwD+EEASwP0A3hmJRJpfZ0MDKZaWEPI44Hbo2wka8jg7DpniOeUGdNLbfsgUdDtQq8stbXrqRGwnxFNCJrvVgg88MIfltIS/fnndkDO0Q90sx0omMsqk14WkWEapundL02vxHH71H87hthkfPvyt8223nBpt2ufC6gEh0+88dQFOqwU/dW/7rW4PLgQA9M6WOVmWcXYti1MdzKj7vjfNYD7oxm8+sYTCLkPAk2K5rQCLiIiIyCiGzmSKRCJfhRIYXWsFgOeax/4hlJCJqGmxTGEnANFTyONArlRFsVJru20h3qhy6KSSSV1jncyXMWbAp9vRnXbEy5ViD84HcNuMD//9uRi+/cZx3QO+diwmRHidNoxz7TcZRP26jm8Xd91YkciX8J/+6lWMDdvxG++6CXarocteOzIz4sKTi0nU6soShGv966VtPLmYwvvuO9pRIDLjH0J43IMnzqfww3ce7uTIhohlCtgqVHBrG61yKptFwIe/ZR4/+f+dwR+8sIJHH7i61TAllnHjBAe0EhERkXn1zk+1RAeQZRnRtGTIivqQGu50MA8pnith2G6F19l+KBN0d36OVkQblWKeK84sCAJ+5m3HkJYq+H9eumTIOVq1mBQxHxzumUoR6n1TPmXW2mrm+lavYqWGD/3Va8iXqvjEIycNCYi1NO13oVqXkdhlLl1dlvHJr1zAuMeBf3v7TMfXemghiJfXs7tey2zONuYx3TrTfsgEALcd8uM7T07gT752CdHU1Yt2WclEREREZseQifpGWqogX6rtzAvSU8itVClsdnDjE88WMeFzdhR8BAwOmWJpaddKsZunfHh7OIQ/+dolbObMdTMoyzKWkiKOs1WODKRWMl07T0iWZfzaP53Hq/EcfuUdN2AhtPdmDrOaUQO0XVrm/umNBF6L5/C++49qMpz69EIQAPacUWQmZ9a24XPZNPke9MG3zsFlt+BjX748BFwq11Co1Hc+XCAiIiIyI4ZM1DfUod9HdR76DVzdptaujVypo3lMwOVKJiM2zCmVYgUc3aNS7P0PHEVdlvHZZ6O6n6UV8VwJYrnGod/rRmAYAAAgAElEQVRkqAmvEwKAtWtCpj9+6RL+/vVN/PR9szsBSq+Z9ish07XDv0vVOj7zzDJOhNz4jpsmNLnWXGAYR8eGemIu05nVLE5N+2DRoGJybNiB9903h6+ubOGfzyl/d/XDBFYyERERkZkxZKK+EWu0pRg1kwlAR8O/49lSR/OYAMBlt8LjtBoSMqWlCnKl6p6f0s/4h/B9t83gS69u4NxmXvfzNGsxwaHfZDy71YKgx3FVu9xTSyl85ullvD0cwnvvOtLF03Vm0tcI0K4JmT7/r6tYz5bwsw8e0yRoUZ1eCOIbF7cMW3DQji2pglimgFMdzGO61vfcOoUbxj34rSeXIJarO+/zrGQiIiIiM2PIRH0jlpbgtFkw0WF1UDO8ThucNkvbIVOxUkOmUMGk19XxWQLDDkPa5aI7m+X2rhR7792H4XXZ8KmvXNhp8eg2dbMc2+XIaJNeF1YblUyLSREf+ds3cMOEBx/59hM9PR/MbrVg3Ou8ql1uS6rgD15cwf3HxnDnkVFNr3d6IYiarIR0ZnVmTZt5TFeyWgR8+FvnkcyX8bnnV3ZCJlYyERERkZkxZKK+EUsXcGR0SNNP0PciCAJCHkfbw2g3cp1vllMFPY6O2vaaFdtpR9y7UsznsuPf3X0EX13ZwvPRjO5nasZiQsSUz3nVsHIiI0z5nFjdKmBLquDnv/gqhhxWfPzhk5rMKuq2Gb/rqkqmz70QQ6Fcwwffekzza90w7sGUz2nqlrmza9uwWQTcpPHmt5unfHj4lkn82TdW8dUV5T2VlUxERERkZgyZqG9E05IhQ79VIbcDiTYriOKNkEmLqqug26hKpgJcNqWCYT/fe9s0Do248NtPXUCt3v1qpkUO/aYumfS5sL5VxH/+0mtI5kv4+MM3Hfj10yum/S6sZZWQKZaW8PiZdTxyagpzAe3fgwVBwOmFIF6MZSCWq5o/vxbOrGZx44RHlwDx0fvn4HFY8Zdn47BaBPiGGJgTERGReTFkor5Qqtaxtl3E7B5DqfUQ9DiRbLeSKatdJVOgETLp3Z4WbWyWO6hSzG614AMPzGEpKeFLr8Z1PdNBKrU6YpkC5zFRV0z6nCjX6vj6xW380ttP4OYp7Vqpum3a70IiX0apWsenn16G02rBT94zq9v1Ts8HUanJePZCWrdrtKtcreP1jRxOTft1ef6RYTsefWAOABAYthtSrUtERETULoZM1BcubhUgY/9WLq0p7XLthTvxXBECgHGPNpVMpWodYrnW8XPtJ5aWmt7c99BCELdM+fDZZ2OQdD7XfqJpCbW6zJCJuuLIiPL18iN3HtZs25pZzDQ2zP3daxt4cjGFH7vrsK6zgm6Z9mFs2G7KlrnXN3Io12RN5zFd6+FbJnFq2ocjBn6PIyIiImoHQybqC7EmhlJrLeRxolitI19qPUSJZ0sIehywWzv/Egw2Nt3pOZepWKlhPVtqenOfIAj42QePISmW8adfu6TbuQ6iDv2eDzFkIuPdOTuCP/vJu/HoA0e7fRTNTfuUkOmTT17AuMeBH3zzjK7Xs1qUlrlnl9MoVroXXO/mbGPot5ab5a5lEQR85j234BMPn9TtGkRERERaYMhEfSGWVjY4HRk1diYTACTE1lvm4rkSJjWazaIOgdVzLtNKpvVKsVPTPnzriSD++KWLbbcVdmoxIcJmEQxtoyRSWQQB9xwP9GV708yIEjJJlRref/+cIcPMT88HUajU8WJsS/drteLMahaHR1y6b31z2a0YdvT+0HgiIiLqbwyZqC9E0xImvE5DfwAPeRshUxsVRBu5Eia8Lk3Ood7YpHQMmaI7m+VaC2sefWAO1bqMzz4X0+NYB1pMipgLDMOmQcUYEV0WcDvgtFkQHvfgHTeNG3LN2w/74XXa8MT5hCHXa4Ysyzi7lsWpGX3mMRERERH1Gt55UV+IZQqGV6uE3EolUqLFKh1ZlhHPFjUZ+g0YU8kUyxQgADg80tq/8aGRIXzfm6bxN6/EsZgQ9TncPhYT3CxHpAeLIODX33kj/us7bzSsUstmteCtx8fw1FIa1VrdkGseZCVTQKZQwa06tsoRERER9RKGTNTzZFluDKU2diCqOgup1UqmTKGCck3WrF3O67TBYRX0DZnSEqb8rrZaYt571xG4HTb89lMXdDjZ3rLFCjbzZQ79JtLJW48HcNjgcP/0Qgi5UhVfv7ht6HX3cqYxj0nPod9EREREvYQhE/W8lFiGWK4ZOvQbAIbsVnic1pYHbsezSuWTVpVMgiAg6HboGjJF04WWW+VU/iE73nv3ETwfzeDFaEbjk+1tKam0+HHoN1H/uGt2BEN2C55YNMeWubOrWfhcNsM/5CAiIiIyK4ZM1POijaHfzW4+01LI40SixXAnnmuETBrNZAKAgNupW8hU16BS7Ptum8a0z4lPPXUBtbqs4en2trNZjpVMRH3DZbfivrkxPHE+adh7yX7OrG3j1LSvL4e7ExEREbWDIRP1PDVM6MYnySG3o+WZTPFsEQAwoVElE6C07qXaGEDejM1cCcVqvaMQz2Gz4NEH5nA+IeLvXtvQ8HR7W0yI8DptGPfou/GJiIx1eiGItFTBy41WtW7ZKlQQTRdwivOYiIiIiHYwZKKe92Isgxm/qythQsjjaHkm00auBJfNAr/Lptk59GyXa3ez3LW+LRzCzVNe/O6zURQrNS2Otq/FpIj54DAEVhgQ9ZV758Zgtwpdb5k7y3lMRERERNdhyEQ9rVSt46WVLdw3N9aVMCHkUdrU6nLzbRvxbAmTPqem5w247ciVqihVtd+4pLYjdlopJggCfuatx5DIl/GnX7+kxdH2JMsylpLcLEfUjzxOG+6aHcUT55OQW3jv1dqZ1SxsFgE3TXi7dgYiIiIis2HIRD3tG5e2UKrWce+xsa5cP+RxoFaXkZEqTf+ZeK6k6TwmQKlkApQh6FqLpiV4nTaMDtk7fq7bDvlxeiGIP/rqRV0HlcdzJYjlGod+E/Wp0wtBrGdLeGMz37UznF3bxg0Tnra2bhIRERH1K4ZM1NOevZCG02bB7Yf8Xbl+0KPMVWplw1w8W9R0HhMABN2Nc+gQ3ChDv4c0q7z6wANzKNdk/I/nYpo8324WExz6TdTP3nosAKsAPHG+Oy1z5Wodr8VznMdEREREdA2GTNTTno9mcPthf9c+SQ41KogSYnPDv0vVOtJSBZNerUMm5Rx6hEzRdEHTzX1HRofwnlun8MWX13EhJWr2vFdSh8GzXY6oP40M2/GmwyNdC5ne2MyjXJNx60x3PuAgIiIiMiuGTNSzVjIFrGQKuG+uO61ygNIuB6Dp4d+bOSWMmtS4kinQOEcrFVXNyJeqSIplzTf3/cTdsxh2WPE7Ty1r+ryqxYSIKZ8THqd2w9WJyFweWggimi5gOSUZfu0zq9sAgFtZyURERER0FYZM1LOeW04DUDYNdYtaQZTIN1fJFM8VAUDzmUyjQ3ZYBCDVZEVVs2IabZa71siwHT/+liN45kIaz+mwIWqRQ7+J+t6D8wEA3WmZO7uWxaERFwJu47eaEhEREZkZQybqWc8tp3FkdAiHRrQNQFphs1owNmxvupIpntWnkslqETA27NC8XU7dLKdlu5zq+988gymfE//5L17GRk67cKxSqyOWKXAeE1GfC3mcuGXKhy8bHDLJsowzq1lWMRERERHtgiET9aRipYavX9zqaqucKuRxNh3uxHMlCADGPdqGTIBSVaV9yCTBahFwyK9t5RUAOG0W/Po7b0RaLOP9j53daSXsVDQtoVaXGTIRDYDTCwFENvNY3S4Yds2LW0VkChWc4jwmIiIiouswZKKe9LWLWyjXZNw7N9rtoyDkcTRdybSRLSHgdsBh0/5LL+B2ICVWNH3OWKaAwyMu2Kz6vFXcPOXDH733LUiJZbzvsbNINtl2uB916Pd8iCETUb87vRAEADx5PmXYNTmPiYiIiGhvDJmoJz23nIHLZsGbDo10+ygIuh0tzWTSulXuynPoUcmk9dDva90+O4pPvftmJPNl/PTnz3b8d1hMiLBZBMyOdq+NkoiMcWhkCCdCbkPnMp1Zy8LrtGEuoO97IxEREVEvYshEPUeWZTx7IYU7j4zAqUNFUKtCHgfSUgXVWv3Ax8azJUx69QmZAh4HMlIZtbqsyfNV6zIuZgq6zGO61q0zfnzq3TdjM1/C+z5/BqkOgqbFpIi5wLBu1VdEZC6nF4I4u5bVpBKyGWdXszg17YNFEAy5HhEREVEv4V3YgPjayhZeWsl0+xiaiKULWMuWurpV7kqhxnylgypwZFlGPFfChMab5VRBtwN1GchI2lQzrW0XUa3Lmm+W28tth/z41LtvwUauhPc9drbtoGkxwc1yRIPk9EIQMoAnF/VvmdsqVLCclnDrDFvliIiIiHbDkGkAyLKM//MfIvjf/vYNlKsHV9uY3bPLaQAwUcikrLA+aC7TdqGKUrWua7sccHDY1axoWgIA3dvlrvSmQ3781nffjPXtIt7/2FmkWwzMssUKNvNlDv0mGiDHAsM4MjpkSMvc2bUsAOAU5zERERER7Yoh0wC4kJKwli0hLVUMnVuhl+eW05gLDGNah41n7Qi5ldAocUC4E88VAUC3djmtQ6ZYI2SaHTV27sjth0fwyXffjNVG0NRKZdZSUjkzQyaiwSEIAh5aCOLrF7ewXdB2+cG1zqxmYbUIODnp1fU6RERERL2KIdMAeOaCUvkTdDvw+Jm1Lp+mM1K5hm9c2sa9R81RxQQAwUYl00HzQOJZ5fd1q2TaOYd2lUwBtwNel02T52vF7YdH8FvffRKXtop4/2MvY0tq7saRm+WIBtPphSBqMvDUkr4tc2fXtnHDuAcuu1XX6xARERH1KoZMA+CZCymExz34X+44hG+uZnE+ke/2kdr20koG1bqM+46NdvsoO0aH7bBahAPb5eK5Rsik00ymsWElZEppNJMpmi50dUPbnUdG8ZuPnMTFrQLe//hZbDVRobCYEOF12jDeCNyIaDDcOOHBhNepa7VuuVrHa/Ec5zERERER7YMhU5/bKlRwdi2L+4+N4Z0nJ+C0WfCFM+vdPlbbnlvOYNhuxW0z/m4fZYdFEBB0O5BoopLJabPAP6RPZZDTZoHPZdOkkkmWZUTTkqHzmHbzltlRfOKRk1jJFPDoYwcHTYtJEfPBYQjc+kQ0UARBwOmFIF6MZSCWq7pc443NPMo1GbdyHhMRERHRnhgy9bkXohnUZeCBY2MYGbLj28Ih/N1rG8iX9PkhXE+yLOPZ5TTeMjsCu8nW04c8jgMrmTZyRUx6nboGIAG3Q5OZTFuFCrLFKmYN2iy3n7tmR/Hxh29CNC3hA4+/vOfMFVmWsZTkZjmiQfXQQhDlmowvn9OnmunM6jYA4JSJPuQgIiIiMhtz3amT5p65kMLYsB03NoaUvue2aRQqdfzda5tdPlnrllISNnIl02yVu1LI42xi8HdJt3lMqqDbgZQGIVM0XQBg7Ga5/dx9dAwff+QkllMi/sMXXka2eH3QFM+VIJZrnMdENKBOTftww7gHn3hiaWc+m5bOrmUx43ftLFkgIiIiousxZOpj1bqM55YzuG9uDJZG9czJSS9unPDg8TNrkGW5yydszfPLygBzU4ZMbseBbWrxbEm3eUyqoEaVTNHGZjmzhEwAcM/RMXz04ZNYTIr4wOMvI1e8uhpvMdEY+s1KJqKBZLUI+PgjJzFkt+Ln/vIVpDWaTwcolZJnVrOcx0RERER0AIZMfezs2jZypSruP3Z1KPOe26axnJLwjUvbXTpZe55dTmM+6MaEV99qoHYEPQ7kSlUUK7Vdf79crSMpljFhQCVTUix3HCBG0xKcNovulVetum9uDB991004nxDxgS+8fFXbp1q5wHY5osE14XXiE4+cRFqq4EN/9RpK1bomz3txq4hMoYJb2SpHREREtC+GTH3smaU0bBYBb5m9ehPb28Mh+Fw2PP7N3hkAni9V8c3VrCmrmABlJhOAPecybebVzXI6h0weByo1GdliZzO3YukCjowO7VTAmcn9xwL4jXfdhHObefyHK4KmxYSIKZ8THqc+g9WJqDfcNOnFr7wjjLNrWfyXfzynSdWuOo+JQ7+JiIiI9seQqY89s5zGmw/5r7vpdtmteOfJCTyxmETygI1oZvHVlS3U6jLuOzZ68IO7IORRwqOEuPu/ZzzbCJl0rgwKDCthV6ctc7FM9zfL7eetxwP4v77rJryxkccHG0HTIod+E1HDt5wI4X33HcXfv76JP3zxYsfPd2YtC6/ThrmAed8XiYiIiMyAIVOfurRVwHJKwv3HA7v+/vfcOo1aXcYXX44bfLL2PHchDbfDilNT5vwUeaeSKbd7uBPPFQFA/5lMjXN0Mvy7VK1jbbuIoybYLLeft80H8F/feSNe28jjg194BbFMgfOYiGjHj991GO+4cRy/+2wU/xxJdPRcZ1ezODXtM2V1JxEREZGZMGTqU89eUIZk379He9mR0SHcPTuKvzy7jmrd3APAZVnGc9E07j46CpvVnC/ZkFutZNojZGpUMo3r3C4XcHdeyXRxq4C6bK6h33t5cCHYCJpyqNVlhkxEtEMQBPzS20/g1LQPv/z3Ebwaz7X1PNuFCpbTEod+ExERETXBnHfs1LFnLqQxOzqEw6N7V6O857YpbObLeGYpZeDJWnc+ISKRL5t2HhMAeJxWuGwWJPZoP4znShgbtsNp0/dLTl2t3UklU6yxWW62B0ImADi9EMSvf+cNmPG7eBNIRFdx2iz42MM3ITBsx3/64qvYyLXeIn52LQsAOMV5TEREREQHYsjUh6RyDV+/tIX7j+3eKqe671gAE14nHj+zZtDJ2vPsslKVde9Rc85jApRPzEMeB5J7DP7eyJYw6dO3VQ4A3A4l7Oqkkimqhkz7BJRm89CJEL74E28x5N+YiHrL2LADn/jum1Go1PBzf/kKpPLuW0D3cmYtC6tFwMlJr04nJCIiIuofDJn60FdjGVRqMh44vn/lj80i4N2npvBibGunesWMnltOIzzuQdCjb6tZp4Ie5z6VTEXdN8sBStgV3CfsakY0XcCUzwmX3arhyYiIumc+6MavvfNGLCZF/B//8w3UW9g4d3Z1GzeMe/ieSERERNQEhkx96JkLaXic1qZWLb/rlknYLAL+4uy6ASdrXbZYwctrWdw3Z94qJlXI7dh1JpMsy4hnS7pvllMF3Y6OKpliaalnWuWIiJp139wY/uODx/HkYgqfeTra1J+p1Op4bSPPVlwiIiKiJjFk6jN1WcYzy2ncPTvW1JDsoNuBhxaC+JtXNlCstNZCYIQXY1uoyTD1PCZVyONEIl+GfM0n5NvFKorVOiYMqGQCOguZZFlGNC31xNBvIqJWff+bpvE9t07hj1+6iL955eDtqm9s5FGq1pv60IaIiIiIGDL1nTc28kiJ5QNb5a70ntumkStV8Y9vdLbiWQ/PLqfhc9lwcsr8P+CHPA6UqnXkStWrfn2jsVnOqHlBAbej7cHfm/kyCpX6/9/evYfHfdV3Hn+PZN0l27IkW7ETX3I7iXNxuBhycUjCpYRLIYGwS6CFXWi5LAVKYQnQdoHQUtKmgYfNQoH2gQ1d6JJkAwstS4EEsHMjQOKQxJxcZCnxLbY8smRZsnWb/eM3cmQ5sSXNaEYzer+eR0+s+f3mN2fir8aaz5zzPSXVj0mSpiqVSvGRy07hRSsX89kfP8Zvtu075vmbx5t+r1hUiOFJkiSVPEOmMrOpYy8p4MLVUw+ZzluxkFNa67n5gR1HzcIpprFMhru3pjl/VTMLKlLFHs5xtTUmO7vtmdQPadf+gwAF6ckESch0YGh0RjPTxpt+O5NJUrlaUFnB535/LScuruWj33uEbfsGn/Pczdt7WbGo9vDOnZIkSTo2Q6Yys6kjzTnLF7K4vmrK90mlUly1bjm/293PI7v2z+Lopifu7ic9MFwSS+UAWrMh0+Sm27sOz2Qq3HI5YEZL5roOh0zOZJJUvppqF3DDFWcD8KHbHmL/wZGjzslkMjy4o89+TJIkSdNgyFRGuvsPseXpfjacPP1Q5lVrl1JfVcnNm+dOA/A7O9IAXFACTb8BlmZ3v9tz4Mgd5nbtP0R1ZYrmuqkHf7l4rrBrKjrTgzRUV9Lip/aSytxJzXVc97q1bNt3kI//4BFGRseOOL5t30HSA8P2Y5IkSZoGQ6YycufWJJSZScjUUL2AV69dyo9/t5t9g8P5HtqM3LW1h7XtTSypL43AY3wG0VHL5foO0b6wllSqMEv+cpnJNN70u1BjlaRiesFJi/n4K07j3q59XH/HE0csGd+8oxewH5MkSdJ0GDKVkU0daZY11XBqa8OM7v/G85YzNJqZ0o47s23fwDAP7ezjwtWlMYsJoLaqkqaaBUeFTE/vP1iwneUg9+VyLpWTNJ+87ux23rb+RG7dvJPv3L/j8O2bt/fRVLOAk1vsUSdJkjRVhkxlYmhkjHu7ethw8pIZz0I5tbWB5524iFs372SsyA3A7+nqIQNcNINZWcXU1ljNnv6jl8sVquk3wKK6KiorUtMOmQ4MjbC7f4hVNv2WNM+87+I1XHJKCzf87InDs4I37+jjnOVNVDizU5IkacoMmcrEb7btY3B4jItPbsnpOletO4HtvQe5p7MnTyObmbu2pllcV8WZy5qKOo7pamusPiLcGR4do7t/qGBNvwEqUila6qumHTI92ZPssOTOcpLmm4pUimtffQantjbw5z/Ywv3betm6d4B1y10qJ0mSNB2GTGViU0eamgUVvOCk3H4hvuy0VpbUV3HLAzuOf/IsGR3LcHdnD+evbqayorQ+QW5trGH3/mdmMu3uP0QGaG+qLeg4Whqq2TvNkKnz8M5yhkyS5p/66kpuuPJs6qoqef+tvwVwZzlJkqRpMmQqA5lMho0dadavXExtVWVO16qqrOCKc09gU0eaHb0H8zTC6dny9H72DQ5z0ZrSWioH0JYNd8aXG+7qSwKnZQWcyQRJX6bph0yDVKbgxMWFDcQkaa5Y1lTD9VecBUBlRYqz2ktrNq0kSVKxGTKVga3pAXb0HuTiPPUvuvKcdlIpuO3BnXm53nTdtTVNCji/hJp+j2trrGE0Az0DyQ59T2dnNRWyJxNAa2M13f3TC5m60gOsWFxHVaUvC5Lmr7Pam7j+9Wv5wEvW5PzBjSRJ0nzju8kycGdH0qT0ohz7MY1rX1jLS05p4Xu/3cXQyFherjkdd27t4ewTmlhcV1Xwx85VW2Oys9t48+/DM5kKHTI1VNMzOMzI6NT//jrTAy6VkyTg/NVLeMsLTiz2MCRJkkqOIVMZ2NiR5vS2hrwGGVetW07P4DC3P9adt2tORXpgiEd27efCElwqBxNDpmQW0a79B2muqyr4p+GtDck49mZnVB3P6FiGJ3sGWb2kbjaHJUmSJEkqY4ZMJa53cJgHt/ey4ZT8zGIat37VYlY21xW8Afj4rnYX5WnpX6G1NSZB355sP6RdfYcKurPcuJaG5DGnusPczr6DDI9mWOVMJkmSJEnSDBkylbh7OnsYzcCGPM/8qUileOO6E9i8o49Hd/fn9drHcmdHmiX1VYSljQV7zHxqqa8iBXSPL5fbf6jgS+UAWhuSpYZT7cs0vrPcqmZnMkmSJEmSZsaQqcRt7NhLc10Va2dhB5zXnrWMmgUV3Lq5MA3AR8Yy3NPVwwVrllCRShXkMfNtQWUFzfVV7O4fIpPJ8HTfIdoXFn63tpbDy+WmGjINAjiTSZIkSZI0Y4ZMJWxkLMM9nT1cePISKivyH8osrK3ilWe08cMtT9N/aCTv15/s4Z199B0c4aIS7cc0rq2xhu7+IfYfGmFgeLTgO8vBhJBpGjOZmuuqSrLZuiRJkiRpbjBkKmEP7eij9+AIF89i/6KrzlvO4PAY//bI07P2GOPu2pqmIgUvXrV41h9rNrU1VrOn/9DhneWK0ZOpqrKCxXVVU+7J1JUesOm3JEmSJCknhkwlbGNHmsqKFC9e1Txrj3HmsibOam/ilgd2kslkZu1xAO7c2sO5yxeysLa0Z9MkIdMQu/ZnQ6YizGSCZIe5qYZMnelBl8pJkiRJknJiyFTCNnXs5XknLqKxZsGsPs5V553A1vQAv9nWO2uP0d1/iLi7nwtLfKkcQFtDDT2Dw2zbl/Q5WlaEnkww9ZBp3+Aw+waHWW3IJEmSJEnKgSFTidrRe5COvQOzulRu3MtPb2Nh7QJueWDHrD3GXZ09AGURMrU2Jv2QHt65n6rKFEvqizMzq6Wx+vAud8fSld1ZzpBJkiRJkpQLQ6YStakjDcCGk1tm/bFqqyr5/bPauePxveyZQmgxE3dtTdPaUM3pbQ2zcv1CWtqYLI97aGcfy5pqirZTXkt9NXsHhhk7zjLHrsM7y9mTSZIkSZI0c4ZMJWpTx15WNtexsrkwwcAb153A6FiG7/52V96vPTI6xr1dPVy0ZgmpIgUy+TQ+k2lH36Gi9WMaH8foWIbeweFjnteZHqC6MsUJRVrWJ0mSJEkqD4ZMJWhgaJRfPbWPDQVYKjfupOY6zl/dzG0P7mRkdCyv135wZx/9h0a5cM3sNTAvpLZsyATF68cESU8mgL0Hjh8yrWyup7Ki9AM+SZIkSVLxGDKVoPue7GF4NFPQkAngqnXL2dM/xC+yS/Xy5c6OHiorUrxoFnfJK6TFdVUsyAY2RZ3JlA2Zug8ce4ljV88gq10qJ0mSJEnKkSFTCdrYkaahupLzViwq6ONuOHkJ7U01eW8AfndnmvNWLJz1XfIKpSKVOhzwzI2Q6bl3mBsaGWP7vkFW2fRbkiRJkpQjQ6YSk8lkuLMjzQWrm6mqLOxfX2VFijesO4H7ntzHh257iO8/tOu4/X6O5+n9h3hszwEuXF36u8pNNL5krph9jsZ7Q3X3P3fItK13kNGMO8tJkiRJknJXHlNH5pG4u5/uA0MF2VXu2Vz9/P1525wAABMXSURBVBX0Do7w00f3sKkjTWVFiheetIjLTmvlklNbD8+emaq7tiZL7y4s8NK/2dbaWAPsZ9nC4s1kqquqpKG68pgzmTqzO8u5XE6SJEmSlCtDphKzsSNNCorWJLu2qpI/vfRkPnjJGrY83c/tj3Vzx2PdfO4nj3PdTx7nvBULuez0Ni47tYX2KcziuWtrmmVNNZzSUl4zaZY2Fn+5HEBLQzV7jxEydaUHAFjZXF7//yVJkiRJhWfIVGI2daQ5+4QmmuunN2Mo31KpFGvbm1jb3sT7Nqzmib0D3PFoN7c/1s0NdzzBDXc8wdr2Jl56WisvPa2Vk5qPnikzPDrGL7v28coz20ilymtns9ectYwl9dXUVlUWdRwtDdXHmck0wNLGauqriztOSZIkSVLpM2QqId0Hhnhk137ee9HqYg/lCKlUilNbGzi1tYE/vnAVT/YMcsdjSeB048at3LhxK6e2NvDS01q57PRWTmmpJ5VK8cD2XgaGR7loTXktlQM4c1kTZy5rKvYwaG2o5ndP73/O453pQfsxSZIkSZLywpCphIz3L9owx/sXrWyu4+0vOom3v+gkdvUd5I7H93LHo3v42t1dfPXuLlY213HZaa3s7D3IgooU61cWZ+nffNB6jJlMmUyGrvQAr1m7rMCjkiRJkiSVI0OmErKpI83SxmpOa2so9lCmrH1hLVc/fwVXP38F3QeG+PnjSQ+nf77vKUYzsH7lYpdqzaLWhmoGh8c4MDRCQ/WRP+7dB4Y4MDTKKmcySZIkSZLyoKAhUwhhPXA9sA44ANwKfCzGOPAs594PnAGMTrh5fYxxSyHGOtcMjYxxb2cPl5+5tGT7F7U2VPPGdct547rl9A4Oc3dnD2csayz2sMpaa7YBeXf/EA1Ljvxx78w2/XZnOUmSJElSPhQsZAohLAJ+CPwV8DKgHbgNuA54/6Rza4CzgHNijLFQY5zL7t+W9C+a60vlpmpRXRWXn7m02MMoey0N2ZDpwNBRM5a60oMA9mSSJEmSJOVFIWcyrQY2xhi/kP1+Wwjhm8A7n+Xc84BB4NECjW3O29ixl5oFFaxfubjYQ1EJac2GTHufpS9TZ3qA+qpK2hqLu1OhJEmSJKk8FCxkijFuBq4c/z6EkMp+/6tnOf2FQD9wewjhHKAT+HSM8fsFGOqck8lk2NSRZv3KxdRW2b9IUzdxJtNkXelBVi2pK9nll5IkSZKkuaUojb9DCAuALwOnAG99llNSwH3ANcBW4A3AzSGES2OM90z1cVpayqPfz+O7+9nee5D3XnYqbW1NxR6OSkhrJkN1ZQUDYxxVO0/1HuRFa5bMiZqaC2OQZov1rXJnjaucWd8qd9a48q3gIVMIYSnwbWApcHGMccfkc2KMNwI3TrjpX0IIfwBcBUw5ZNq7t5+xsUyOIy6+23+3G4B1bfXs2bO/yKNRqVlSX8VT3f1H1M7g8Cjb9w3SXl9V9Jpqa2sq+hik2WJ9q9xZ4ypn1rfKnTWumaioSB1zQk9FAcdCdunbr4Ee4IIYY9dznPe+EMKrJ91cS9Knad756ZbdnNbWQPvC2mIPRSWotbGa7v4jl8s9ebjptzvLSZIkSZLyo5C7yy0Dfgx8K8b4Z8c5fTnw4RDCK0mWy/0hcCHwntkd5dzTd3CYX3X18Lb1JxZ7KCpRrQ3VPNlzZD7bmR4AOGrHOUmSJEmSZqqQy+XeDSwD3h1CeNeE27uAVwGPAK+KMW4EPpUd2x1Ac/bYq2OMjxdwvHPCPZ09jI5l2HByS7GHohLV0lDN/dt6j7itMz1ARQpOWuxMJkmSJElSfhRyd7lrgWuPcUrjhHOHSZp+XzPb45rrNnWkWdJQzVntNmTTzLQ2VNN7cIShkTGqFyQrZDvTg6xYVHv4e0mSJEmScuU7zDlsdCzDXVvTXHp6G5UVbjOvmWlpqAZg78AzfZm6egZcKidJkiRJyitDpjmsZ2CI3oMjXH52e7GHohLWmg2Zxpt/j45leLJnkFXNhkySJEmSpPwxZJrDWhtr+O4fref3zjJk0sy1NmZnMh1IQqZd+w9yaGTMneUkSZIkSXllyDTHrVhkEKDcHJ7JlA2ZOtPJTnOrXS4nSZIkScojQyapzDXXV5PimZCpKz0AGDJJkiRJkvLLkEkqcwsqUjTXV02YyTTAotoFLK6vKvLIJEmSJEnlxJBJmgdaG6oP92TqSg86i0mSJEmSlHeGTNI80NJQfXh3uc70gCGTJEmSJCnvDJmkeaC1oZruA0P0HRwmPTDMKneWkyRJkiTlmSGTNA+0NlaTHhhi616bfkuSJEmSZochkzQPtDZUM5aBB7b3AYZMkiRJkqT8M2SS5oHWhmoAfvXUPqoqU5ywqLbII5IkSZIklRtDJmkeaMmGTJu393LS4joWVKSKPCJJkiRJUrkxZJLmgdbGJGQaHB5zqZwkSZIkaVYYMknzQEt99eE/u7OcJEmSJGk2GDJJ80BtVSWNNZWATb8lSZIkSbPDkEmaJ8abf68yZJIkSZIkzQJDJmmeOBwyNbtcTpIkSZKUf4ZM0jyxfFEtyxfW0FizoNhDkSRJkiSVId9tSvPEn1y8hv2HRos9DEmSJElSmTJkkuaJ5vpqmm3HJEmSJEmaJS6XkyRJkiRJUs4MmSRJkiRJkpQzQyZJkiRJkiTlzJBJkiRJkiRJOTNkkiRJkiRJUs4MmSRJkiRJkpQzQyZJkiRJkiTlzJBJkiRJkiRJOTNkkiRJkiRJUs4MmSRJkiRJkpQzQyZJkiRJkiTlzJBJkiRJkiRJOTNkkiRJkiRJUs4MmSRJkiRJkpQzQyZJkiRJkiTlzJBJkiRJkiRJOTNkkiRJkiRJUs4MmSRJkiRJkpQzQyZJkiRJkiTlzJBJkiRJkiRJOTNkkiRJkiRJUs4WFHsAs6QSoKIiVexx5E05PRdpMutb5cz6VrmzxlXOrG+VO2tc0zWhZiqf7Xgqk8kUbjSFswHYWOxBSJIkSZIklaGLgU2TbyzXkKkGWA/sBEaLPBZJkiRJkqRyUAmcANwHHJp8sFxDJkmSJEmSJBWQjb8lSZIkSZKUM0MmSZIkSZIk5cyQSZIkSZIkSTkzZJIkSZIkSVLODJkkSZIkSZKUM0MmSZIkSZIk5cyQSZIkSZIkSTlbUOwBzEchhNOAe4Hnxxg7s7e9A7gGWA48BFwTY/zFhPu8C/hT4EQgAh+MMd6VPbYM+EfgJcAg8OUY46cL9oSkCaZb3yGE/kmXqADqgLfEGL9tfWuumUGN1wGfB64AaoBfAx+KMf42e9wa15wxg/quBT4DvAWoB34GfCDG+FT2eCPwJeC12Yf4Fkn9DxfoKUkAhBDWA9cD64ADwK3Ax2KMAyGE1wJ/C6wGHgX+JMa4KXu/BcDfAX9A8hr+feC9Mca+7PEAfAV4AZAGPhtj/EoBn5o04/qecP964A6S30G+MeF261vT5kymAsv+kG8CmifcdgXwP0hCpMUk/5D9MPtDTQjhPcAngbdm7/cvwA+yv9iR/b4baAdeBrwjhHB1QZ6QNMFM6jvG2DjxC7gF+H/AzdlLWN+aM2ZS48BfAqcDa4FlwIPAbRMua41rTphhfX8OeD3wcpL6fgz4cQihOnv8RmApsIbkzc9FwEdm/clIE4QQFgE/JHntbQVeDFwAXJcNVr8D/FdgEfAPwPdCCA3Zu/8FcAlwLsmb9FaSn4PxAOoHwC+AFpLf1T8XQrigIE9MIuf6JoSwlqSGXzTputa3ZsSQqYBCCH8OXAd8YtKhNwPfijH+MMY4GmP8PyQ/zO/IHv8A8JcxxvtjjKMkn4j/HpAJIZwKXEqSVA/GGB8GvgC8b/afkfSMHOp74jX+E/AK4K0xxhHrW3NJDjV+Jsm/t6ns1yjJjCWscc0VOdT3m4HPxBi3xBiHgI+TzLp+WXYW39XAJ2OMvdnZTddifavwVgMbY4xfiDGOxBi3Ad8kmUH6duDnMcZ/jTEOxxj/AdhGUrsA7wSuizHujDGmgY8Bb8/O0ruUJFz9TIxxKDs75CascRXWamZY3yGElwC3A/8TeHLSdS/F+tYMGDIV1teBs4GfTrq9AhiYdNsYcEY2ZT4DqAwh3BVC6AZ+AgzFGA8BZwF7Y4xPT7jvFpJPW6RCmnZ9T7wh+ynM35Mss0hnb7a+NZfMtMZvIKnlbpIp7H8IvCl7zBrXXDHT+p58PJP9OoNkBl818PCE41uAFSGEJfkZtnR8McbNMcYrx78PIaSAK4FfkbwOPzzpLluAc7O/m5zI0TVcQ1LfZwGPTlr+6Wu4Cmqm9Z3980PAmhjjfyd57Z7I+taM2JOpgGKMOwCemWF+2C3A10IItwB3Aq8hWTLxC5Ip6yng/SRvSjpJPmX8UQjhDKCJo3/5GyDpiyAVzAzre6IPAFuz54+zvjVn5FDjNcD3SJY995Ess/i/IYRzscY1R+RQ37cAfxFCuB/YQbI8tC771ZQ9Z2KNj/+5nqS/h1RQ2SVAXwZOIVn+cxPP/Tp8VA3HGA+GEDITjvsarjljmvXNhA92n431rRlxJtMcEGP8Dsn08q8CO4E3kDTGTAMHs6f9fUwcAj4F1AIbSD4Vr5t0yXqSNzJS0R2nvoHDn7j8EfDFGOPET1Gsb815x6rxEEIVSS+Ef4wxbo8x7if50OBEkqWh1rjmtCm8hn8E2Jj9iiS/t/w2e/xA9pyJNT7+5sQaV8GFEJYCPwLOBy7OhqvHeh0+qoazPVFTE477Gq45YQb1fTzWt2bEkGkOCCG0A/8eYwwxxrYY49tJenjcF2PsBvaQhErjUjzzd/cQ0BpCaJ1wfC1HT4uUiuJY9T3htPUkjWFvmXR361tz3nFqvJFkRmrVhLuMZr8OYY1rjpvCa/iJwF/HGFfEGFeRNPoO2eOPAsMcuTx6LbBtfGcuqVBCCOeQ7O7ZA1wQY+zKHnqISUv4yb4Oxxh7SGboTa7hIZIm9w8Bp4UQKiffN//PQHpuM6nvKVzW+taMuFxubrgEuD6EsAF4GngPyS9oN2WPfwX4byGETSS/sH0S6AdujzEOhhDuyt7/fcAq4IMkjTWlueB49Q1wIfDrGOMRU3JjjI9Z3yoBz1njMcaeEMJGkh1eriD59O8zwG7gzhjjAWtcc9zxXsM/BKwKIfwHkjD1SySv578GCCHcDHw2u2NiPclyum8U9Blo3gshLAN+TNLE/s8mHf5fwIdCCK8H/o2k0fdKntkF9BskS0LvJVkq9DfAd7K/g/+M5E39tSGEa4EXkvTdu2p2n5H0jBzr+1h+hvWtGXAm0xwQY/zfwD8Bd5O88XgdcFmMcU/2lE8BXwS+SzL9/BLg8hjjYPb4VcBCkh0Bfgp8Lcb4TwV7AtIxTKG+IdnaevtzXML61pw2hRp/E/A48CBJnZ8JvDLGOL4MwxrXnDWF+r4G6CWp38eBEeD1Ey7xXpK63wI8QLKs7tMFGbz0jHeT7JL17hBC/4Svh2OMj5C8Dn+G5A31HwOvmdCr5tMkr82/BJ4g2cThvwBkGyJfTrI8aTfJG/qPxhgnN9CXZlMu9f2crG/NVCqTmdxEXpIkSZIkSZoeZzJJkiRJkiQpZ4ZMkiRJkiRJypkhkyRJkiRJknJmyCRJkiRJkqScGTJJkiRJkiQpZ4ZMkiRJkiRJypkhkyRJUh6EEL4bQugJIbQ/y7HzQwijIYT3F2NskiRJhWDIJEmSlB/vzf73ixNvDCFUAV8DfgHcWOhBSZIkFYohkyRJUh7EGHcCHwbeFEJ47YRD1wCrgf8cY8wUY2ySJEmFkMpk/F1HkiQpX0II/w4E4AxgOfAw8IEY41ezx1cBnwdeDgwCPwU+nA2pCCG0An8HvApoAXYD/wx8LMaYCSH8FXA+sB94GfD5GOMnC/cMJUmSnp0zmSRJkvLrXSTh0DUkS+d+PiFgagJ+BvQBFwCXAw3AT7LL6iAJlE4HXpP9798AH81+P+5lwBbg+cDXZ/fpSJIkTc2CYg9AkiSpnMQYO0MIHwduAA4A50w4/FagCnhHjHEMIITwZmAvcAVwM/CvwE9ijFuy97kxhPCx7HV+kL1tFPhUjHFotp+PJEnSVBkySZIk5d+NwCeAr8cYn5pw+/OAE4C+EMLE82uBM7N//hJwZQjh3cBpwLnACqBywvnbDZgkSdJcY8gkSZKUZ9neSYeAgUmHhoAHgTc9y916QggVwI+Ak4FvATcBvyTZmW6iwfyOWJIkKXeGTJIkSYXzMPA2YE+MsRcghLAY+CZJs+9ekn5L62KMD044vgxIFWXEkiRJU2TIJEmSVDg3AR8HvhNC+ATJzKa/JVlG9zBQT9Jv6T+GEPpIlsl9lqSPU01RRixJkjRF7i4nSZJUIDHGAeAVwCGSXeY2ZQ+9NMa4N9u/6Z3A1SS7x92UPefbwPqCD1iSJGkaUplMpthjkCRJkiRJUolzJpMkSZIkSZJyZsgkSZIkSZKknBkySZIkSZIkKWeGTJIkSZIkScqZIZMkSZIkSZJyZsgkSZIkSZKknBkySZIkSZIkKWeGTJIkSZIkScqZIZMkSZIkSZJy9v8B0+PazjuxfI8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10))\n",
    "sns.lineplot(x='year', y='profit', data=movie_df, ci=None)\n",
    "plt.title(\"The Average Profit Over Years\")\n",
    "plt.xlabel(\"Year\")\n",
    "plt.ylabel(\"Average Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***The Average Profit from 1960 to 1976 is lower than 40 million.*** <br>\n",
    "* ***Minimum Average Profit is 24 million in 1968.*** <br>\n",
    "* ***Maximum Average Profit is 51 million in 1977.*** <br>\n",
    "* ***The Average Profit from 1989 to 2015 is greater than 35 million.*** <br>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fix Genre Values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "def explode_values(df,col):\n",
    "    \"\"\" This Function Take dataframe 'df' and column 'col' with multiple values and return exploded dataframe\"\"\"\n",
    "    # split column values into lists\n",
    "    df[col] = df[col].str.split('|')\n",
    "    # return exploded dataframe\n",
    "    return df.explode(col, ignore_index=True)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# explode 'genre' values \n",
    "movie_df = explode_values(movie_df, 'genre')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Genre Values became  ['Action' 'Adventure' 'Science Fiction' 'Thriller' 'Fantasy' 'Crime'\n",
      " 'Western' 'Drama' 'Family' 'Animation' 'Comedy' 'Mystery' 'Romance' 'War'\n",
      " 'History' 'Music' 'Horror' 'Documentary' 'TV Movie' 'Foreign']\n"
     ]
    }
   ],
   "source": [
    "# check 'genre' values\n",
    "print(\"Genre Values became \", movie_df.genre.unique())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9)What is The Average Genre Profit?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the average genre profit\n",
    "plt.figure(figsize=(12,8))\n",
    "sns.barplot(x='genre', y='profit', data=movie_df, ci=None)\n",
    "plt.xticks(rotation=60)\n",
    "plt.title(\"Average Genre Profit\")\n",
    "plt.xlabel(\"Genre\")\n",
    "plt.ylabel(\"Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Maximum Average Profit is 87.25896 million for Adventure Genre.***\n",
    "* ***Minimum Average Profit is 20.64230 million for Documentary Genre.***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 10)What is The Distribution of Genre Profit?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "sns.boxplot(x='genre', y='profit', data=movie_df, showfliers=False)\n",
    "plt.xticks(rotation=90)\n",
    "plt.title(\"Distribution of Genre Profit\")\n",
    "plt.xlabel(\"Genre\")\n",
    "plt.ylabel(\"Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***Adventure and Action Genres have the maximum Profit.***<br>\n",
    "* ***Adventure Genre has the minimum Profit.***<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 11)How average Genre Profit changed over Years?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "top_genre_profit = movie_df[movie_df.genre.isin([ 'Adventure', 'Science Fiction', 'Fantasy', 'Action'])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18,8))\n",
    "sns.lineplot(x='year', y='profit', data=top_genre_profit, hue='genre', style='genre', size='genre', ci=None)\n",
    "plt.legend(title='Genre')\n",
    "plt.title(\"Genres Profit Over Years\")\n",
    "plt.xlabel(\"Year\")\n",
    "plt.ylabel(\"Profit\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='conclusions'></a>\n",
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***1)Top 5 Rated Movies are The Story of Film: An Odyssey, The Mask You Live In, Black Mirror: White Christmas, Life Cycles, and Pink Floyd: Pulse.*** <br>\n",
    "\n",
    "***2)Top 5 Profitable Movies are Avatar, Star Wars: The Force Awakens, Titanic, Jurassic World, and Furious 7 .*** <br>\n",
    "\n",
    "***3)Top 5 Directors with the number of released movies are Woody Allen, Clint Eastwood, Steven Spielberg, Martin Scorsese, and Ridley Scott.*** <br>\n",
    "\n",
    "***4)Movie Duration must be between 58 and 142 minutes.*** <br>\n",
    "\n",
    "***5) 50% of the Movies' Duration is between 90 and 111 minutes.*** <br>\n",
    "\n",
    "***6) Movies' Revenue, Profit, and Popularity are increased according to their Budget increase.*** <br>\n",
    "\n",
    "***7)The Average Movies Profit is increased over time.*** <br>\n",
    "\n",
    "***8)The Profitable Movies Genres are Adventure, Action, and Fantasy.*** "
   ]
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    "### Limitations:"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* ***This Analysis isn't completely error-free, but it shows us the properties of profitable movies.*** <br>\n",
    "* ***During my analysis, I split genre values that separated by \"|\" into many rows for the exploration phase, this increases the analysis time.*** <br>\n",
    "* ***There is no currency unit for the budget, revenue, and profit columns so they may be in different currencies for different countries.***"
   ]
  }
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