Movies-revenue Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "from matplotlib.pyplot import figure\n",
    "\n",
    "%matplotlib inline\n",
    "matplotlib.rcParams['figure.figsize'] = (12,8) #plot configuration\n",
    "\n",
    "#Reading the data\n",
    "df = pd.read_csv('movies.csv', encoding='latin-1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\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>budget</th>\n",
       "      <th>company</th>\n",
       "      <th>country</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>gross</th>\n",
       "      <th>name</th>\n",
       "      <th>rating</th>\n",
       "      <th>released</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>star</th>\n",
       "      <th>votes</th>\n",
       "      <th>writer</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8000000.0</td>\n",
       "      <td>Columbia Pictures Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Rob Reiner</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>52287414.0</td>\n",
       "      <td>Stand by Me</td>\n",
       "      <td>R</td>\n",
       "      <td>1986-08-22</td>\n",
       "      <td>89</td>\n",
       "      <td>8.1</td>\n",
       "      <td>Wil Wheaton</td>\n",
       "      <td>299174</td>\n",
       "      <td>Stephen King</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6000000.0</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>70136369.0</td>\n",
       "      <td>Ferris Bueller's Day Off</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1986-06-11</td>\n",
       "      <td>103</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Matthew Broderick</td>\n",
       "      <td>264740</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15000000.0</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Tony Scott</td>\n",
       "      <td>Action</td>\n",
       "      <td>179800601.0</td>\n",
       "      <td>Top Gun</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986-05-16</td>\n",
       "      <td>110</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Tom Cruise</td>\n",
       "      <td>236909</td>\n",
       "      <td>Jim Cash</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18500000.0</td>\n",
       "      <td>Twentieth Century Fox Film Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Action</td>\n",
       "      <td>85160248.0</td>\n",
       "      <td>Aliens</td>\n",
       "      <td>R</td>\n",
       "      <td>1986-07-18</td>\n",
       "      <td>137</td>\n",
       "      <td>8.4</td>\n",
       "      <td>Sigourney Weaver</td>\n",
       "      <td>540152</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9000000.0</td>\n",
       "      <td>Walt Disney Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Randal Kleiser</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>18564613.0</td>\n",
       "      <td>Flight of the Navigator</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986-08-01</td>\n",
       "      <td>90</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Joey Cramer</td>\n",
       "      <td>36636</td>\n",
       "      <td>Mark H. Baker</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       budget                                 company country        director  \\\n",
       "0   8000000.0           Columbia Pictures Corporation     USA      Rob Reiner   \n",
       "1   6000000.0                      Paramount Pictures     USA     John Hughes   \n",
       "2  15000000.0                      Paramount Pictures     USA      Tony Scott   \n",
       "3  18500000.0  Twentieth Century Fox Film Corporation     USA   James Cameron   \n",
       "4   9000000.0                    Walt Disney Pictures     USA  Randal Kleiser   \n",
       "\n",
       "       genre        gross                      name rating    released  \\\n",
       "0  Adventure   52287414.0               Stand by Me      R  1986-08-22   \n",
       "1     Comedy   70136369.0  Ferris Bueller's Day Off  PG-13  1986-06-11   \n",
       "2     Action  179800601.0                   Top Gun     PG  1986-05-16   \n",
       "3     Action   85160248.0                    Aliens      R  1986-07-18   \n",
       "4  Adventure   18564613.0   Flight of the Navigator     PG  1986-08-01   \n",
       "\n",
       "   runtime  score               star   votes         writer  year  \n",
       "0       89    8.1        Wil Wheaton  299174   Stephen King  1986  \n",
       "1      103    7.8  Matthew Broderick  264740    John Hughes  1986  \n",
       "2      110    6.9         Tom Cruise  236909       Jim Cash  1986  \n",
       "3      137    8.4   Sigourney Weaver  540152  James Cameron  1986  \n",
       "4       90    6.9        Joey Cramer   36636  Mark H. Baker  1986  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "budget - 0.0%\n",
      "company - 0.0%\n",
      "country - 0.0%\n",
      "director - 0.0%\n",
      "genre - 0.0%\n",
      "gross - 0.0%\n",
      "name - 0.0%\n",
      "rating - 0.0%\n",
      "released - 0.0%\n",
      "runtime - 0.0%\n",
      "score - 0.0%\n",
      "star - 0.0%\n",
      "votes - 0.0%\n",
      "writer - 0.0%\n",
      "year - 0.0%\n"
     ]
    }
   ],
   "source": [
    "#step-1) Checking for missing Data\n",
    "\n",
    "for col in df.columns:\n",
    "    pct_missing=np.mean(df[col].isnull())\n",
    "    print('{} - {}%'.format(col,pct_missing))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget      float64\n",
       "company      object\n",
       "country      object\n",
       "director     object\n",
       "genre        object\n",
       "gross       float64\n",
       "name         object\n",
       "rating       object\n",
       "released     object\n",
       "runtime       int64\n",
       "score       float64\n",
       "star         object\n",
       "votes         int64\n",
       "writer       object\n",
       "year          int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#step-2: Check Datatype of each column\n",
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['budget']=df['budget'].astype('int')\n",
    "df['gross']=df['gross'].astype('int')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>budget</th>\n",
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       "      <th>0</th>\n",
       "      <td>8000000</td>\n",
       "      <td>Columbia Pictures Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Rob Reiner</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>52287414</td>\n",
       "      <td>Stand by Me</td>\n",
       "      <td>R</td>\n",
       "      <td>1986-08-22</td>\n",
       "      <td>89</td>\n",
       "      <td>8.1</td>\n",
       "      <td>Wil Wheaton</td>\n",
       "      <td>299174</td>\n",
       "      <td>Stephen King</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6000000</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>70136369</td>\n",
       "      <td>Ferris Bueller's Day Off</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1986-06-11</td>\n",
       "      <td>103</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Matthew Broderick</td>\n",
       "      <td>264740</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15000000</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Tony Scott</td>\n",
       "      <td>Action</td>\n",
       "      <td>179800601</td>\n",
       "      <td>Top Gun</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986-05-16</td>\n",
       "      <td>110</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Tom Cruise</td>\n",
       "      <td>236909</td>\n",
       "      <td>Jim Cash</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18500000</td>\n",
       "      <td>Twentieth Century Fox Film Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Action</td>\n",
       "      <td>85160248</td>\n",
       "      <td>Aliens</td>\n",
       "      <td>R</td>\n",
       "      <td>1986-07-18</td>\n",
       "      <td>137</td>\n",
       "      <td>8.4</td>\n",
       "      <td>Sigourney Weaver</td>\n",
       "      <td>540152</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9000000</td>\n",
       "      <td>Walt Disney Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Randal Kleiser</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>18564613</td>\n",
       "      <td>Flight of the Navigator</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986-08-01</td>\n",
       "      <td>90</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Joey Cramer</td>\n",
       "      <td>36636</td>\n",
       "      <td>Mark H. Baker</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     budget                                 company country        director  \\\n",
       "0   8000000           Columbia Pictures Corporation     USA      Rob Reiner   \n",
       "1   6000000                      Paramount Pictures     USA     John Hughes   \n",
       "2  15000000                      Paramount Pictures     USA      Tony Scott   \n",
       "3  18500000  Twentieth Century Fox Film Corporation     USA   James Cameron   \n",
       "4   9000000                    Walt Disney Pictures     USA  Randal Kleiser   \n",
       "\n",
       "       genre      gross                      name rating    released  runtime  \\\n",
       "0  Adventure   52287414               Stand by Me      R  1986-08-22       89   \n",
       "1     Comedy   70136369  Ferris Bueller's Day Off  PG-13  1986-06-11      103   \n",
       "2     Action  179800601                   Top Gun     PG  1986-05-16      110   \n",
       "3     Action   85160248                    Aliens      R  1986-07-18      137   \n",
       "4  Adventure   18564613   Flight of the Navigator     PG  1986-08-01       90   \n",
       "\n",
       "   score               star   votes         writer  year  \n",
       "0    8.1        Wil Wheaton  299174   Stephen King  1986  \n",
       "1    7.8  Matthew Broderick  264740    John Hughes  1986  \n",
       "2    6.9         Tom Cruise  236909       Jim Cash  1986  \n",
       "3    8.4   Sigourney Weaver  540152  James Cameron  1986  \n",
       "4    6.9        Joey Cramer   36636  Mark H. Baker  1986  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#year in realase date and year column do not match so we will process this\n",
    "df['CorrectYear']=df['released'].astype(str).str[:4]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#sort by highest grossing\n",
    "df.sort_values(by=['gross'],inplace=True,ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>budget</th>\n",
       "      <th>company</th>\n",
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       "      <th>director</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6380</th>\n",
       "      <td>245000000</td>\n",
       "      <td>Lucasfilm</td>\n",
       "      <td>USA</td>\n",
       "      <td>J.J. Abrams</td>\n",
       "      <td>Action</td>\n",
       "      <td>936662225</td>\n",
       "      <td>Star Wars: The Force Awakens</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>2015-12-18</td>\n",
       "      <td>136</td>\n",
       "      <td>8.1</td>\n",
       "      <td>Daisy Ridley</td>\n",
       "      <td>687192</td>\n",
       "      <td>Lawrence Kasdan</td>\n",
       "      <td>2015</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5061</th>\n",
       "      <td>237000000</td>\n",
       "      <td>Twentieth Century Fox Film Corporation</td>\n",
       "      <td>UK</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Action</td>\n",
       "      <td>760507625</td>\n",
       "      <td>Avatar</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>2009-12-18</td>\n",
       "      <td>162</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Sam Worthington</td>\n",
       "      <td>954412</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>2009</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2420</th>\n",
       "      <td>200000000</td>\n",
       "      <td>Twentieth Century Fox Film Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Drama</td>\n",
       "      <td>658672302</td>\n",
       "      <td>Titanic</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1997-12-19</td>\n",
       "      <td>194</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Leonardo DiCaprio</td>\n",
       "      <td>862554</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>1997</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6391</th>\n",
       "      <td>150000000</td>\n",
       "      <td>Universal Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Colin Trevorrow</td>\n",
       "      <td>Action</td>\n",
       "      <td>652270625</td>\n",
       "      <td>Jurassic World</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>2015-06-12</td>\n",
       "      <td>124</td>\n",
       "      <td>7.0</td>\n",
       "      <td>Chris Pratt</td>\n",
       "      <td>469200</td>\n",
       "      <td>Rick Jaffa</td>\n",
       "      <td>2015</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5723</th>\n",
       "      <td>220000000</td>\n",
       "      <td>Marvel Studios</td>\n",
       "      <td>USA</td>\n",
       "      <td>Joss Whedon</td>\n",
       "      <td>Action</td>\n",
       "      <td>623357910</td>\n",
       "      <td>The Avengers</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>2012-05-04</td>\n",
       "      <td>143</td>\n",
       "      <td>8.1</td>\n",
       "      <td>Robert Downey Jr.</td>\n",
       "      <td>1064633</td>\n",
       "      <td>Joss Whedon</td>\n",
       "      <td>2012</td>\n",
       "      <td>2012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5917</th>\n",
       "      <td>0</td>\n",
       "      <td>Zentropa International Norway</td>\n",
       "      <td>Norway</td>\n",
       "      <td>Petter Næss</td>\n",
       "      <td>Action</td>\n",
       "      <td>547</td>\n",
       "      <td>Into the White</td>\n",
       "      <td>R</td>\n",
       "      <td>2013-04-12</td>\n",
       "      <td>104</td>\n",
       "      <td>7.2</td>\n",
       "      <td>Florian Lukas</td>\n",
       "      <td>16609</td>\n",
       "      <td>Ole Meldgaard</td>\n",
       "      <td>2012</td>\n",
       "      <td>2013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5699</th>\n",
       "      <td>0</td>\n",
       "      <td>Isle of Man Film</td>\n",
       "      <td>UK</td>\n",
       "      <td>Sheree Folkson</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>542</td>\n",
       "      <td>The Decoy Bride</td>\n",
       "      <td>PG</td>\n",
       "      <td>2012-03-09</td>\n",
       "      <td>89</td>\n",
       "      <td>6.2</td>\n",
       "      <td>Kelly Macdonald</td>\n",
       "      <td>9018</td>\n",
       "      <td>Neil Jaworski</td>\n",
       "      <td>2011</td>\n",
       "      <td>2012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6066</th>\n",
       "      <td>0</td>\n",
       "      <td>Cinetel Films</td>\n",
       "      <td>USA</td>\n",
       "      <td>Steven R. Monroe</td>\n",
       "      <td>Crime</td>\n",
       "      <td>441</td>\n",
       "      <td>I Spit on Your Grave 2</td>\n",
       "      <td>R</td>\n",
       "      <td>2014-01-19</td>\n",
       "      <td>106</td>\n",
       "      <td>5.7</td>\n",
       "      <td>Jemma Dallender</td>\n",
       "      <td>21070</td>\n",
       "      <td>Neil Elman</td>\n",
       "      <td>2013</td>\n",
       "      <td>2014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2594</th>\n",
       "      <td>15000000</td>\n",
       "      <td>Daybreak</td>\n",
       "      <td>USA</td>\n",
       "      <td>George Huang</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>309</td>\n",
       "      <td>Trojan War</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1997-10-01</td>\n",
       "      <td>84</td>\n",
       "      <td>5.7</td>\n",
       "      <td>Will Friedle</td>\n",
       "      <td>5034</td>\n",
       "      <td>Andy Burg</td>\n",
       "      <td>1997</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6784</th>\n",
       "      <td>0</td>\n",
       "      <td>Magic Lantern</td>\n",
       "      <td>Spain</td>\n",
       "      <td>Carles Torrens</td>\n",
       "      <td>Horror</td>\n",
       "      <td>70</td>\n",
       "      <td>Pet</td>\n",
       "      <td>R</td>\n",
       "      <td>2016-12-02</td>\n",
       "      <td>94</td>\n",
       "      <td>5.7</td>\n",
       "      <td>Dominic Monaghan</td>\n",
       "      <td>10504</td>\n",
       "      <td>Jeremy Slater</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6820 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         budget                                 company country  \\\n",
       "6380  245000000                               Lucasfilm     USA   \n",
       "5061  237000000  Twentieth Century Fox Film Corporation      UK   \n",
       "2420  200000000  Twentieth Century Fox Film Corporation     USA   \n",
       "6391  150000000                      Universal Pictures     USA   \n",
       "5723  220000000                          Marvel Studios     USA   \n",
       "...         ...                                     ...     ...   \n",
       "5917          0           Zentropa International Norway  Norway   \n",
       "5699          0                        Isle of Man Film      UK   \n",
       "6066          0                           Cinetel Films     USA   \n",
       "2594   15000000                                Daybreak     USA   \n",
       "6784          0                           Magic Lantern   Spain   \n",
       "\n",
       "              director   genre      gross                          name  \\\n",
       "6380       J.J. Abrams  Action  936662225  Star Wars: The Force Awakens   \n",
       "5061     James Cameron  Action  760507625                        Avatar   \n",
       "2420     James Cameron   Drama  658672302                       Titanic   \n",
       "6391   Colin Trevorrow  Action  652270625                Jurassic World   \n",
       "5723       Joss Whedon  Action  623357910                  The Avengers   \n",
       "...                ...     ...        ...                           ...   \n",
       "5917       Petter Næss  Action        547                Into the White   \n",
       "5699    Sheree Folkson  Comedy        542               The Decoy Bride   \n",
       "6066  Steven R. Monroe   Crime        441        I Spit on Your Grave 2   \n",
       "2594      George Huang  Comedy        309                    Trojan War   \n",
       "6784    Carles Torrens  Horror         70                           Pet   \n",
       "\n",
       "     rating    released  runtime  score               star    votes  \\\n",
       "6380  PG-13  2015-12-18      136    8.1       Daisy Ridley   687192   \n",
       "5061  PG-13  2009-12-18      162    7.8    Sam Worthington   954412   \n",
       "2420  PG-13  1997-12-19      194    7.8  Leonardo DiCaprio   862554   \n",
       "6391  PG-13  2015-06-12      124    7.0        Chris Pratt   469200   \n",
       "5723  PG-13  2012-05-04      143    8.1  Robert Downey Jr.  1064633   \n",
       "...     ...         ...      ...    ...                ...      ...   \n",
       "5917      R  2013-04-12      104    7.2      Florian Lukas    16609   \n",
       "5699     PG  2012-03-09       89    6.2    Kelly Macdonald     9018   \n",
       "6066      R  2014-01-19      106    5.7    Jemma Dallender    21070   \n",
       "2594  PG-13  1997-10-01       84    5.7       Will Friedle     5034   \n",
       "6784      R  2016-12-02       94    5.7   Dominic Monaghan    10504   \n",
       "\n",
       "               writer  year CorrectYear  \n",
       "6380  Lawrence Kasdan  2015        2015  \n",
       "5061    James Cameron  2009        2009  \n",
       "2420    James Cameron  1997        1997  \n",
       "6391       Rick Jaffa  2015        2015  \n",
       "5723      Joss Whedon  2012        2012  \n",
       "...               ...   ...         ...  \n",
       "5917    Ole Meldgaard  2012        2013  \n",
       "5699    Neil Jaworski  2011        2012  \n",
       "6066       Neil Elman  2013        2014  \n",
       "2594        Andy Burg  1997        1997  \n",
       "6784    Jeremy Slater  2016        2016  \n",
       "\n",
       "[6820 rows x 16 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#look at all the rows\n",
    "#pd.set_option('display.max_rows',None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of Data before droping duplicated: (6820, 16)\n",
      "Shape of Data before droping duplicated: (6820, 16)\n"
     ]
    }
   ],
   "source": [
    "#remove any duplicate values\n",
    "print('Shape of Data before droping duplicated:',df.shape)\n",
    "df=df.drop_duplicates()\n",
    "print('Shape of Data before droping duplicated:',df.shape)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Analysis\n",
    "#Check the Co relation between gross revenue and different cols\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Budget for Film')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "#1) Scatter plot budget vs gross\n",
    "\n",
    "plt.scatter(x=df['budget'],y=df['gross'])\n",
    "plt.title('Budget vs Gross Earnings')\n",
    "plt.ylabel('Gross Earnings')\n",
    "plt.xlabel('Budget for Film')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc98ab19820>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uc+cIpoGIqDiQtm37VyQ9Lum9tm3/werD45J+PIiBAQDQ7DpGRuQmk3Lb2iTDkNvWJjeZVMfISKOHBqAC1eRIy7bty/n/Xq3ikbNt+69rPioAAHaB2NiYnO7uksfc1lbFxsYaNCIA1ah4RtqyrL+yLOu9q//9c5L+QNKnLct6KqjBAQDQzHL9/TKWlkoeM5aWlOvvb9CIAFSjmhzphyW9uPrfPyHpfZLOSPpIjccEYJfKL7rqO3OGRVfYFeaHh2Wk0zIWFyXXlbG4KCOd1vzwcKOHBqAC1QTSpiTXsqzjkgzbti/atj0maW8wQwOwmxQvunK6u1l0hV1hZXBQs+fPy+nrkzE9LaevT7Pnz2tlcLDRQwNQgWpypP+TpH8t6aCkP5Kk1aB6KoBxAdhlShZdSYW/O0ZGCCrQ1FYGB7UyOKje3l7dmeKUCkRJNTPSH5Y0I+llSb+w+thJSc/WdkgAdqPY2Jjc1taSx1h0BQAIs4pnpG3bviPpqXWP/ceajwjArpTr7/dq6a7OREssugIAhFvFgbRlWQlJPy/pH0o6JK81+L+TdN627XQwwwOwW8wPD6vr3DlJ3ky0sbTEoisAQKhVk9rxv8hryPIRSadX/x6U9CsBjAvALlO86MqcmWHRFYBIoMX77lbNYsMhSadXUzwk6XXLsv5W0tckna35yADsOvlFVwAQBflqQ24yWdLinUmA3aOaGWmjyscBAACaFi3eUc2M9POS/sSyrF+UdE3SEXk503YQAwMAAAgzWryjmhnpn5X0BUmfkvRlSb8h6S8l/VwA4wIAAAg1Wryjohlpy7Jikn5b0pO2bf9PwQ4JAAAg/OaHh9V99qyM8XEZuZzisZjc9nbdffrpRg8NdVLRjLRt2zlJ75fkBDscAACACDEMyXXX/hgsHdtNqkntuCDpFy3LSgY1GAAAgKjoGBmR09Wl7MCA3EceUXZgQE5XF4sNd5FqFht+TNI9kn7asqzbklx5FTtc27bvC2JwAAAAYcViQ1QTSP9oYKMAAACImFx/v8zJSa/83SoWG+4u1QTS37PJ4yuWZR2V9Oe2bd/a+ZAAANVIjY6qY2REifFx9Rw+rPnhYZpBAHUwPzysrnPnvH90dspYXJSRTmt+eLixA0PdVJMjPSCv1N13S3pg9e+fk/RNkoYlvW1Z1vfVfIQAgE3lO6uZk5MlndVoUwwEb2VwULPnz8vp65MxPS2nr4+uhrtMNTPSpqQfsW37j/IPWJb1X0v672zbPmNZ1n8v6V9K+vMajxEAsIlyndXyj3MyB4K3MjiolcFB9fb26s7UVKOHgzqrZkb6A5L+73WP/amk71/979+XdLwWgwIAVCY2Nia3tbXkMRY7AUB9VBNIvyUvhaPYR1Yfl6ReSQu1GBQAoDJ0VgOAxqkmtePHJf2hZVk/J2lc0mFJOUk/tPr/H5T0L2o7PACov/zivdjYmHL9/aFevMdiJ4RdlL5PQLUM13UrfrJlWQlJZyQdknRD0pds284ENDZ3YmIioJdGkHp7ezVFnlhk7fb9l1+85yaTcltbZSwtyUinQ72AKB+oJCcmlD50iEAloprxuxfF75Nfzbj/dotDhw5JXm+UqlUVSNcZgXREcTCJtt2+/3qGhjbWhV1clNPXpzvPP9/AkW1vt++7qGvG/Rfl71O1mnH/7RY7CaSryZEGgKbH4j2gdvg+odkRSANAERbvod5So6PqGRpSYmBAPUNDTVUDnO8Tmh2BNAAUmR8elpFOy1hclFyXxXsIVLM31OH7hGZHIA0ARYo7lZkzM3QqQ6A6RkakTEaxGzdkfP3rit24IWUy3uNNgO8Tml015e8AbILyTs0l36kMCFr88mWZs7NyTVOKxaRsVrGpKRmZoApi1V+zf5/yx//E+Lh6Dh/m+L/LMCMN7FDxrVmnu7vpbs0CCFA6LVeSTFMyDMk0vX+n040dFyrS7Kk52F5dA2nLsmKWZX3Fsqw/ref7onnlF+n0nTnTsEU6HSMjXo3UtjbJMOS2tclNJpvm1ix2LgyfU4RUMikjl5OxvCwtLclYXpaRy0mpVKNHhgpw/Ee9Z6Q/Ielind8TTSosM8GUd8JW6vE5beaqD80ut3+/NxMtSfm+DoahXG9v4waFinH8R90Cacuy7pX0A5J+p17vieYWlpkAyjthK0F/Trm13AQMQ24yKbW2en8bvvpCoAE4/qOeM9K/JulnJTl1fE80sbDMBFDeCVsJ+nMalgtK+GPOzyt3771SPC7lclI8rty998qcn2/00FABjv+oS9UOy7J+UNKkbdtftizrfVs870lJT0qSbdvq5dZWJMXj8brsO/PYMZk3b0rt7WsPLixIx47V97NjWXK7uhT71V+VcfWq3CNHlPuZn1HnBz6gzvqNombqtf92i6A/p4nxcbn79kmGIcMwFI/Hpc5OxScm2I8RYB47Jt28KT34oDcT7boyFxake+5h/0XBuuN/LOLHf1TPcPM5WQGyLOuXJf1DSVlJLZL2SPpD27Z/dIsfcycmJgIfG2qvt7dXU1NTgb9P/pa2m0zKbW2VsbQkI52mRukO1Wv/7RZBf057hoa8tI62NsXjcWWzWRmLi3L6+nTn+edr8BsgSMWfj1hnp3JzcxzHIopjZ3QdOnRIknzlVNUlkC62OiP9T23b/sFtnkogHVH1PJhQv7n2OBnUXpCfUwKx6Mt/PpITE0ofOsRxLKI4dkbXTgJpGrIg0pq90D+aQ5Cf03znuI6REcUnJuQQiEVO/vPR29urOwRiQKTUfUa6CsxIRxRX5dHG/osu9l20sf+ijf0XXTuZkaazIdBkaP5RHtsFAFBrBNJAEwlLk5pK1Su4jdp2AQBEA4E00EQ6RkakTEaxGzeUuHRJsRs3pEwmlDWF6xncUmsZABAEAmmgicQvX1ZsakrKZuXGYlI2q9jUlOKXLzd6aBvUM7gNS/MeoBxavAPRRSANNJN0Wq4kmabX3ME0vX+n040dVxn1DG5p44uwosU7EG0E0iHG4ihULZn0lh07jvdvx/H+nUo1bkybqGdwSxtfhBVpR0C0EUiHFIujwid/YXPg9GkdOHVKB06fDt0FTnZgQLn9+6V4XEY2K8Xjyu3fr+yJE40e2gb1DG7ztZadvj6ZMzNy+vpoWIJQIO0IiDYC6ZBiliJc8hc2sStXZM7Oylhakjk7q9g774TqAmd+eNgLng8eVObkSeUOHpTi8VDOvNY7uF0ZHNSd55/X5Isv6s7zzxNER0gz350j7QiINgLpkNrNsxRhPGnmL2zMu3flmqYUj8s1TZmzs6G6wInazCvBLbbT7HfnSDsCoo1AOqR26yxFWE+a+QsbI532FvFJkmnKSKdDd4FDcIpm0ux354ovfo3p6dBf/AIoRSAdUrt1liKsJ838hY2bTEqu6z3oOHKTyV1xgQM0ym64O5e/+M28/joXv0DEEEiHVNRu0ddKWE+a+QsbZ88eGY4jZbMyHEdOV9euuMABGiXX3y9zakrxt95S4uJFxd96S+bUFBevAHbEcaTFRUPvvmvs6HXiNRoPArAyONj0gfN6uf5+r55qW1vhsTDM+OYvbDpGRmRkMl695lRKuaNHNT88vOv2E1AvK489ps6XXpJrml6ToXRasclJLX7oQ3UfS2p0VB0jI4qNjSnX37/ld7+a5wIIXjotLS8bWlkxtLxs1Ky9AoE0QmV+eFhd5855/8hkFJuclJFOK5NIKDU62tAT0W68sAEaLfXCC8odOOBVy0mn5SaTynV1KfXCC5o/e7Z+41hdv+EmkyXrN8rdKazmuQBqz3G0GjCvBc+5XDDvRWoHQiU/8+smEopfvy65rpefnMmEYtEhgPqKjY3J6elR9vhxZU6dUvb4cTk9PXVP96pm/UZY13oAzSqTkebmDE1Nmbp+PaYrV2KamDD17rumFheDC6IlAmmE0MrgoNy9e5W9/35lBwbk7NnDiQjYpcJSwaia9RthXesBNAPXlZaWpOlpQzdvmnrnnZiuXYtpctLU7KyhlZX6jodAGqHEici/MNbhBvwKSwWjagL6sAT/QDPIZqX5eW+2eXw8P9sc07vvmlpYCHa2uRIE0gglTkT+hLUON4KVv3hKDAw03cVTWCoYVRPQhyX4B6LGdaXlZWlmxtCtW6auXo3p6tWYbt3yZpuXl9cq0IaF4YZtRGvciYmJRo8BPvT29mpqampHr1G8WMdtbZWxtCQjnWaxzjZ6hoY2Vj1ZXJTT16c7zz9f0WvUYv+hfoq/K7HOTuXm5viuBCToqh1896KN/Ve9bFaFKhrLy95/1zMsXVgwdOlSXD/1U/skyVcdPAJp1FytDiZhKR8VlnFUou/MGTnd3WvdFyXJdWXOzGjyxRcreo1mPRlEaT9Wo/jiKR6PK5vNVn3xhHBo1u/ebrGT/desx6diriutrKwFzisrhjKZ+r1/JiO9/XZcr72W0MWL3p9r12Jy3ULwTiCNcGimk0HUZsaZkS4vavuxGsUXT/lAutqLp0bYDYFDpfLbIjk+rvThw7t6W0SZ32Nnsx6fcrmNs82OU5/3dl3p+vVYIWC+dCmuN95IKJ3eGCsbhivHMSSfgTR1pIEtlJSxkgp/d4yMhPIAV1yHu/iAvNtzM6O2H6sR1iZGW6HO8pqSIGrfvl29LXarZjk+rZ9trlXDk0pMTxuFoDn/Z26u/DLA/ftzOnUqU/jz4INZSX2+35tAGg0Rldmo2NiYN9tXJMzVQ4o7MIZ929ZT1PZjNUqaGHV2RmJhW7MEDrVQruZ0/vHdti2iKn8+S4yPq8fHHYUoHp8cR4WZ5nzgXK/Z5qUl6fLl0qD55s1Y2ee2tzs6eTKjU6eyhcC5t7e2AyWQRt1FaTYqirN9dGDcKIr7sVLFF0/xiQk5hw6F/uIpioFDUNgW0VaLOwpROD4F1V57O9msdPVqfDVg9v6+ciWuXG5jFkY87ur48bWA+aGHMurvz8kMuD4dgTTqLkqzUaRKNIdm34/5i6fe3l7diUB+e7WBQ1TuYPkRhSAKm6vFHYWwHZ/q2V67mOtKt26ZungxUVgQePlyQsvL5VOX7703q4ceWkvROH48q1Qq+HGuRyCNuovSDAypEs2B/Rgu1QQOUbqD5UcUU3Owphbns0YfnzKZ0tnmenUGnJtbn9cc1/R0+RSNvXtzJekZJ09mtGdPOIplULUDNbfdyuVaVJZAcJqxakezC7LqQ1CzwZW+7m44XhT238SE0hFIzcGaqJWfzDc8KQ6c6zHbnE5Lb74ZLwTNr72W0PXr5edyW1pcDQyspWecOpXRgQNOSVXXWvs7f+eARPk7hMV2gVizlvppFs0aSIchPSCIMQTZkCUM39Va1EbfTBg+E8Wa9bvXzMLeECmbzS8K9ALnlZXgOwM6jjQ2FiuZbX7zzbiy2Y1xqmm6uv/+/Eyzl6px5EhW8TrmSxiG9J3fSSCNEKnkZBC2E1gzqNU2bcaTeRgCwqDGEOSMWBhmg4MaQxg+E+s143dvNwjLHYV8w5Pi2eZsNvj3nZoyC7WaX3stoUuXElpYKL/C7557coXUDK/0XEatrcGPMc8wpFRKSiZdpVLen2RSOnz4kEQgjSDQ5jYaahkUNOP+a+aAMMiGLEHOBleqHhcgeY26JU9DluZQ72NnI9prLy4aev31eMmCwNu3y+c1d3Q4JRU0Tp7Mat++OtXI01rQ7AXLa0FzuRSRQ4f8B9IsNsSmmn2RTzOJUiWUrQR1pyIMC1yDGkOQVR/CUFEiqIVYYfhMSDRkQWUa0V47m/VaahenaLzzjtdSe71EwtUDD5RW0bj33lygec3Fqgmai+XPOfriF32/N4E0NtUswdluEJagYCeCvHALQ0AY1BiCrPoQlrJcQdRGD8NnQqIhC8qrd3tt15Vu3IitzjLHC6XnyrXUlqQjR7Il3QGPH88qkQhufMWKg+Z84FxJ0Lxe8TlnJwiksalmCM5qKcx53WEJCnYiyAu3MASE88PD6j57Vsb4uIxsVm48Lre9XXeffnpHrxtkQ5ZGl+UKUhg+ExLHWXjq3V57ZsbQpUtr6RmXLiU0O1s+r7mnJ1eYaT55MquTJzPq6KhPWrBp5vOZVZLTXAvrzzl+EUhjU80QnNVK2NNcwhIU7ESQAUVoAkLD8KZ+8q/3JC0AACAASURBVH9qdN8zyIYsUeuUWekFb1g+E7n+fsWuXJF5966MTEbxRELOnj3K3X9/XceB+ql3e+3lZemNN0rrNU9MlA//WlsdnTxZOtvc11efvOZ80NzSopL0jKCUO+f4QSCNTTVDcFZsJzPKYU9zCUtQsBNBX7g1OiDsGBmR09Ul9+DBwmPG4mJoPkPNoNoL3kZ/JiRp5bHH1PnSS3JNU4rFpHRasclJLX7oQw0dFyqXP7ckxsfVU2axaD3ba+dy0tWrpaXn3n67fEvtWKy0pfapUxndd19OsfJrB2uq3kFzOeXOOX5QtQNbapaqHTtd+R+G6gX10qj9F8ZyZLVUj89QGL979RSmShyV6hkaUuydd2TOzsrIZOQmEnK6upQ7ejS0Y8aa9XWkM3fntbJiaPLc/6zZb/27gbbXdl1pctIsBMyXLnkl6JaWyqdoHD6cLaRnnDqV0cBApi4ttYuD5uKc5kYr3neJN96QmrFqR8/QUORm1ZpNNTM2212VN9JOZ5RJcwleM8yqb4XPUPCimG8cGxuT09Mjp7e3pHxhmMeMNalPPafZ+D4tJbuVSbdpIR6TkVmS+9wfavEbvqum7zU/7+U15xcDXryY0J075aePu7qcQr3mfH5zV1fwE6dhDZrLKT7n7ESoA+mw5aE2i6C7q4WxhNNOT7DNluYSVmG41R4UPkP+VXrMiuLFShTHvFuVa6/d/Y4hZ8+9Us5QPBaTlJPb0iLzxo0dvVcmU9pS++LFhK5dKx+ypVJrLbXzfw4eDLaltuQFzd4CwPAHzZvJn3MO7eA1Qp3akT59OvS35aImit3VaqEWt3zDXLWjlqKSHhDF/RHUmINs6NHo7VzNMSs1OupVRllYKKmMMnPhQmg/G2FvMV0Ljf4M+VVJe+29n/iEjDt35La2Kh6LKZvLyVhaktvTo+lnn63ofRxHGh+PlSwGfOONhDKZjZGwYbg6ejSrhx5ay22+//7gW2o3Q9C8lZ00ZAl9IN2seaiNEsXuarXQ7Pm3tdTIQLrSEy77c01J8JjLyY3FahY8hmE7V3PMSo2Oqvunf1rG3NxaIN3ZqZlPfjLUn4uwtJgOQhg+Q5Xw2147+eKL6rxwQW4ioVh7u3ILCzIyGc2dPav0mTNlf+bdd82S9IyLFxOany+f19zXlyvpDjgwkFVbW7Bx2/qgOZVy61YjulGaOpAO06ymFN0r67ygFjyFfUZaiv6+q5coLDaM4qKyoPQ+/rgSb7whNxaTYZpyHUdGLqfMiROa+sIXdvTaYdjO1RyzwjDenYjK3aBqhHWf1LK9dvLFF9X+6U8rMTmpTF+fFp54ohBELy4aunw5XlgMePFiQjdvls9rbm9fa6mdXxDY2xts6blYbGP1jGYPmstp2hbhtezQVQthryVciSh2V6uVZs6/bQbVLAiN4qKyoMTffltuLOZNIxmGZJpyVx/fqTBs52qOWWEYL0qFYZ+47loJuiDaa6fPnFH6zBl1du7VV74y5zU5+RUvReOdd+JynI3xWTzutdTOzzTnW2qb5Sema4KgORihDqSdvr5QzRqGvZZwJYJa8BRkdzVEW6V3Aqo54bJAa51sVsZqkxfDMOQahmqRNFnSLCSd9iYR6twspJpjFp+L8GnEPqlHe23XlW7eNEvSMy5fTmh5uafs8/v7s3roIa+KxqlTGT3wQDbYZiMEzXUT6kA6bLfiwnBlvVNBlhgLsrta1JBG4qnmLk41J1wqYKzJ7d+v+PXraw+4rgxJ2aLGL34VNwtxG9QspJpjFp+L8KnHPqlHe+27d41Caka+rfbMTPnp4717czp1am22+eTJjDo7g0ujJWhurFDnSIetIUtYc72kcAVuzZjnV42oLK7ZTC33X7ULxarZbmH6zDdS7+OPK3H5skqm3ExTmYGBmuRIF5qF5GekQ94sJMqfi2Y9dtZyn9SjvfbKSr6l9tqCwPHxzVtqP/igFzR/y7ckdd99M+rrC670XHHQnK+eQdC8c0272DBsgXRYA6SwjatZTwaVCvMF11aCKKFW7eLWKAdBjdJ35owUi8m8fXutM97+/VIut+OKObupo2cY7PZjZznpdHGaRu1nmx1HunattKX2m29u3lL72LFsIT3j1Kmsjh7NFlpq7927V9PT0zUbWyy2seQcQXMwmnaxYdiEtfNaM+RuN5MopgAF1VCn2vxIFoRWL7+Ns8ePl1bMObSTFgOlr03OMerBcfJB89psc63ba09NmUXpGXG9/npCCwvlUzQOHszq5MlsYTHgiRMZtbbWdjx564PmVMoNvDY0aoPdVKUwnuijGLhFUTN3Vyu5GDOMml2MkbMavCAr5rD/EKRMprRu88pKbV9/YcHQ66/HC4HzpUsJ3b5dvvTcnj1OSWfAU6cy6u4O5o49QXNzIbWjCYQtlaDWtyfDcLu/2u5qYUq1qUSQDXXCsP+aXZANPdh/wQuyM2VYlGuvXcvZ5mxWeuut0iYnV6/G5Lob79Ynk65OnMg3OfFSNQ4fzu04r7lcasda0LwWOBM0hw850rtc2AK3WgbSYfndqr1YiVrwEYWGOtgeObbR06wtwitpr+2X60oTE7FCesbFiwm98UZC6XT5ltpHjuRWm5x4VTSOHcsGkmvc27tXi4vvEjRHEIE0QhW4NarqQ5CafdFVkG2mUT8E0tHTDBexfttrl5PvEmjeuCHn4EEtPPGEJk9+R8lM88WLCd29Wz6vubc3V5Ke8eCDWXV01D7OicfXSs3lg+Z77uH7F1UsNkQoc7drISz532HOe67ZRZRheGfE/J+g6jfVQZguLFEe+8gTlmNcNWrZXrtY8sUXFf/kb+orzim97D6uV18/rlf++UmN5/rKPr+tzVmtoJEtBM7799e+pXZx0Jyv1cxMM/L4KCDUwtBZTQrvoqtata3vGBmR09Ul9+DBklmxKFZ+qdU2iZJ8UJoYH1dPBHJsd+M+2kyYL9Kl0vba+eC52vba5WaZ02fOKJeT3nknvpae8YVH9cbSnymnjQsCY7G1ltr5P/fdV/uW2gTNqBYfj5BhlqZUGDqrSc1f+jCKs2Kb2W3lIIvTcpTLKTE5qe6zZ0OdlrPb9tFWgqy64ket22snX3xRnRcuyIknNN56XK+OHdUrv7iorx6I6dKNfVpaKo6E1yZI+hM39EjL63qk5bJO576i/f/XLyiV8j+OcuLxtfrMOwmao3Yhi9oiRzpEwrKwbqdqnSMdtc5qUv0uiGqVu90MeZp5zZ7Pvl7v448r8cYbcmMxGaYp13Fk5HLKnDix486GQdlt+2g7QVZd2U5Q7bXn5ryW2lf+1ef16sx9eiV9Undye8s+t7vbKz33ze/8Bz2a/Yoe6rqm7ticJG923u3p0fSzz+5oPOuD5lTKLTRS2YlmXSy625Aj3SR2MkvTrDPZsbExOT09cnp71x503R3PlAa5vYK8bb1+3E5Hh3ei2eFt4SBnxer92Qz7rfJai7/9tne3xjS9wNQ05a4+Hla7bR9tJ7/Gpbe3V3cCXKwWVHvtdFp6883S0nNjY/nw4h+UPLfFWNFDLW/qUeMVHf3Z79PJkxkdPOi11E6+mFLnhS/JTSfktrTIWF6Wkclo/oknqhpPPmguXghYi6C5nKBq8CM6CKRDxO/t9WbONwzihBv09grqtnW5cZuzs5LrytHOcreLU1fiExNyajQr1ojPZi3y2SN3YZrNylhdJGoYhlzDUJgTO8O65qDZBNFe23Gk69fXWmq/9prXUjub3TiZZ5qujiev6ZHYa3qk4y090nJZx1PXlFhe8GaZB7+7dLxnzmju7NmSfOr51XzqzdQzaC6nmdLi4E94j7S7kN+gsZnzDYM44Qa9vYI6sHaMjEiZjGJ37pQsvHS6u+Xu3bvjoC+IWbFGfDZ3ms8etQvT3P79il+/vvaA68qQlD14sGFj2k5Y1xxEWbn22rEveov8EjduKHbwoLRNUFrOnTvmatDszThfupTQ/Hz5FX733LNWr/nUqYwGBrLqfvmr6rxwQW4iITe1/Sxz+syZTceYSGwsOVfPoLkc7q6AQDpE/AaNzXxFHMQJN+jtFdSBNX75sszZ2bWFl9msYlNTMjIZ3QppLmyQ23qrWeOdlIOM2oWp29nptU8rvkdvmt7jIdasJTvrZbv22vlFfm4iIWfPHhl37qjzwgXNnT27aaC6uGjo8uW1ltoXLyY0OVk+Uu3oKG2pffJkVj09G/NE/MwyS17QvH4hYKOD5nLCtlgU9RfpQDpyt1+34TdobPYr4lqfcIPeXiUH1kxGsclJGem0MomEUqOj/n+XdFqupEK9J8OQ6zjSwoK3KDOE34OgtnWQs8ZRuzA15+e97Xz7toxMxguc9u+XOT/f6KE1RLOdFyR/7bXbP/1pbxa4tdV7jdW/2z/9aaXPnFE2K125Uhw0x3X1alyOszFFI5FYKz330ENe4Hz4cOWl57aaZfZePxpBczkrg4NatCy1P/ecjCtXZLa3a+HJJyP/mUPlIlu1o1kqXNRC2LZF2Lur1WN7pUZH1fnMM0pcvuwFNvfcIzce39H7HDh9ujAjLdOUHEfGakHX7LFjNftdotDiPciOl2HpplmpoCuuVBOYNjqIDduxsFr5714t2mv3WJacPXu8C25XGs8c0KvLD+jV2aP62+P/jS5fTmhlpXyRgv7+bCFgPnUqo+PHs0oma/ALSkomN6Zn1LoWdD1RtaM57MoW4VE72QWt0SewYmEPpKX6bK9af0bLlQJUJiOZprIDAzV5D6n2+y+IbR1k+bSoBWNBnsir2RZh2G7VfufCcNwsbq/d3t6jiYlp3+2182ZmDF3/qX+jV+8c1CvZh/Tq8oCmc11ln7tvX64oaM7qwQcz6uysTVzQbEFzOc1UOnQ325WBNHVIwysKgXQ91PozWtx4w8hmvRnu5WXljhzxZp5q8B5SNPZf0BfS6wOslcceU+qFF0JxoVpOUHWIq9nOYZjc6DtzRq5pemsHVi82c729Mhxnw/ehUYF/ufbaiS+tLgq8dUuZAwcKnf8qsbIivfGGl55x6ZKXqjE+Xj5rs00LOnlsUQ9+e1thtrmvL196rnz3wUolk2vpGfnAudmC5nKKj/P5QJpYJHp2ZR3pZs8LRvQF8hk1DG8KK/8nHtf6VUa74XsQdPm04rz8KFTxCKoOcTX54rGxMbmmqfhbb5UEsfXMLXc6OgrNafILcuPj48qcOLHhufVaVJqfbc6naaxvr128KNDt6tpyUWAuJ127Fiup1/zWW3HlchvP/zHT0QnjDZ12v6ZH3Zf1cOzrOtZxSwsf+bkNr1vtwsTdGjSXQyyCyAbS1CFF0HZ627fWn9GOkRE5XV1yi8qamVNTMu/ckdvevqu+B/Usnxa1Kh61VE2QUE0QWxf5i85N+FlUut0xwU977ZJFgYZRWBTY9n9+WtePPVYSNF+6FF/XUnvNoUNZnTqVLcw0f+tzP6W26RuF15MkY6m9sNhw0zGodGGi/u6ZQp1mL3DevUFzOVTtQGQDaeqQIgj5E2X88mUZc3Ny9u2T09vraxay1p/Rcid+p6dHRiYjp68vNN+DeqVF1Kt8WhSqeOS3eWJ8XD2HD9dsG/u+GNwmiA2KOT+v3L33ehVM8rPiBw+WrWBS7UxiuTsTLU/9ou7+fEKz3/ZdvttrmzduyNmzR3O5Nl1aGtDXFh/QK0sn9Mr1E7r93/aW/ZmuLqdQqzn/p7u7dHu337pamvIlyW1pkXnjxqZjSBlppYy0Wsy0WjqX1Xr7dd3u36Y8yC4XVDMrREdkA2mJOqSoreITpbG4KDmOYnfuyE2l5K6ekKqdhazlZzTX36/YlSsy794taciSPXEiNIta1gcbsStX1PnSS8odOCCnpyeUaRHbCfut25Jc3337arqNq7kYrCaIDUp+X2WPHy88ZiwuyvHyH0tUe5HQ9pu/pfl4l5aS3VrKpLQcS8k1VuT+1h9p7tT7qhpnJiO99ZaXz/xW+pf06ttHdSXbL1cbp3qTSVcnTuTLznnVNA4ezJUsvSjHOXhQxp07pTPSy8ve40bpQsBDR0213r4ktazLb78vHJ/xsKtXi3eEU6QDaaCWim/hG5mM3HhcruModvu2snv2NHwWcuWxx9T50ktrDVnSacUmJ7X4oQ81bEzrrU+DMO/elWuaMmdn5fT2RjItIuxpZCXb3DBqvo0rvRjMX+iV/vCKcvffv+MxVGp+eNhbkDs+XliQ67a36+7TT2947nYXCevba89cicnZc0QqzkfeZIa3mOuWttS+dCmuN95IKJ3Ov853FZ5ryNHxxFU9Gn9NJ77/sE78vX4dO5b11e194Ykn1Hnhggy5SrTG1LoyqxZnQSv/5Me09/7SQDz70X8s89w5uYvh/IwDYUYgDawqvoXvJpPe8nrDkLF6v9acmpKxsKC+M2caUyP3hReUO3CgpPxdrqtLqRde0PzZs3Ubx1bWp0EY6bTcWKywDaXwpUWUsz49ZdGyQlu1IyypJ6G50Fu/IHeLqdv8RUJJe+0b3qLA9Q1PtprhLTY9bZTkNV+8mNDcXPmk4v37vZbaj3S8pfdc/qweXXhJqXs6VytmHJRUXR28/ExzKuUq9fe/TZ09T6rndz6l+PX85/bnZAy+r+x2IFUS8Cey5e/CbLMFKR0XLqj9uedkLizIWe1+lA+AwlDPdKcKJbjGx5WuYZ5mvbZNcfkuc25OsfFxua4rraZQxCYnCykKjaiRW6+Sjzspf7e+BFr8rbe8qb1ksnC7vVE1Viv9HIWhHnI1wlLHtmdoSPFLl2TOzHjtyk1TTne3sidP1m0clZbg2669djkl1TVaWmQsL2tpJaYv/9A5vWx8YyFovnmzfEu+9vZ8XvPagsDe3tKViHv37tX09HRFv6thSKmUl56x56W/0r7f/S21XX9Lzn3RPH80gyiUDkV5u7KOdFhtdhJe+dZvVdsf/7HXlS4Wk3I5GY6jubNnlTl9OlIn7nKCagoRdFBTHFw5HR2K3b4tp7tbbmurzDt3vIoYnZ1ee+6ODjm9a4t/6h2s1KtO705OBuv3lzk1pdjNm3ITCRmuW7jVPnPhQt073q2vwb3ZOHqGhsrmoufuv7+ugamfwL+RndVKOm+uzgobjiOnq0u3vva1uoyh3MWm67hKTy9p7PN/XUjT2K69djnZrDT+J6/prc9c1qtTh/SKHtGbK/cp52ycbY7HvZba+QWBDz2UUX//9i21Nwuki4PmtQoaq49H7MKvmRFIRxeBdIhsFuzErlzxagYVJ7tls3JbW5V9+OGGNzLYqaBmxbYLHncyW102uEoklDt82Fs4VfR6YWgAVK8T5k5PBhsuTiYmZKysrG3jzk7NfPKTdT3J9z7+eKE0WyHIy+WUOXFCU1/4QslzwxAQVruvg2rIUo0Dp07JWFoqe4y7dfFiXcbQMzQk59YdLbbs1bKb0pKTUnoxJ6enV9PPPlvx67iudOuWqYsXvUYnFy8mdPlyQsvL5c+z996bLQTM+ZbaqVT149+7d69mZqYLXQDzgXM+aN7sd476+aNZEEhH165syBJWm+UrGrmc3ERi3ZNjMhcWQpPjuBNB/Q5bve5mjTIqzWftfOYZmTMza3VvHUfm4qJy0obgOAyVG6KSx1i8OK1naEhOJrPhJF/vxYbxt9+WK8nIZAp5s65pKv722xufnE7LldaK5RqGXMeRr9pmPlVbuzoUVQOSSRlLS962Mk3JcWRIcv1ElBUqbq+9smLoxg//j2r9V78mN7OWfmFkslp44oktX2dubn1ec1zT0+VTNPbuzZWkZ5w8mdGePf4mpPIzzflZ5kOHvNffriJHsWY4fwBRRiBdY5sFXO5qOkfJbE0uJ6e9ve5BWhA5x0H9Dlu9brlgw1hYUMdv/IZy/f3bdqGLv/22t1+KA6bVx9cLe+WGsArNST6Xk5EtWri1OstcNvxpQEC4Xhi6BFYrOzCg2DvvbFgMmzt6tOzz/RyHyrXXLrmp+q3foexZo6TV9fy6VtcrK17pufxM88WLCV2/Xv5U2NLiamAgUzLbfOCAU1Wgm+cFze662eZ12yS15drIssJwkQ/sZgTSNbZZwLX0wQ96OdLZbEmO9PyTTxZypNf/zGZB2k7TGYJodxxUd6etAtiup57aEKSZd+96KQSVdqFbn9q0ySr/MMwGR6FV9XqhOckXVWEpWF1Iul61AWEQqu0S2PXxj6v1j/9YRi6ne2IxLX3wg5r99V+v23ilte9q7uDBbY9j69OqzKkpdZ89uyFnfbv22uWkz5wpBM6Os9pS+//Jl55L6M0348pmN37HTdPVsWP5mWbv7yNH/JWeM00VAuXinOYgcJEPNBY50gEIsmrHTvNkg8ynCypPc7NtU+53Sbz2mtxkUtkHHlh7gU1ymUvyZvMzj5vkzYZBvRcb1uLORVgWQh04fVrm9LQXWeUvlkxTzr59uvXVr4ZuzNV8Nrs+/nG1ffazG15j8Yd/uO7BdKWfmXI5607W1dwDD2v8M/+x4vba601NmSXpGZcuJbSwUH6F3z335Eo6Aw4MZFRU2a5i+aC5pUUlOc3V2GnFo2ao+tQMyJGOrtAvNrQsq1/S/yHpHkmOpOds295u5UdkA+kg7TSYqseiuXodTMoFPLGxMTk9PRVV10iNjqr7p39axtxcQxfCVcrPvtvsBLvVibe3t1dztl2zYDIMJ/meoaENs8zO6ixzue9NUGOu9HX7zpzx1lAUdQl09u+XcrkN+/qe++6Tkct5n4uiGspuLKab167VbczVuOfYMa24SS2bbVpSq5bdlNKON/V7+y/+oqLXWFw09Prr8ZIFgbdvl89r7uz0Ss/l0zNOnsxq374qo3RJLf/5S9r76X+r9htXlOjfr8xHfkzu+99X9esUC0vVFexcrc99YTh27hZRCKQPSjpo2/bfWpbVKenLkj5o2/ZrW/wYgXQZOw2E6zGrWc+r8vUHmpXHHlObbVdd7SAKB6pq991mM6uLllV2G+UXaSbHx+VMT8ttb/eCtwreK+zCMMtcbQm+Svf1wcOHV59QGkhL0o3x8R2PuRbbzXFUyGteXja0572DclxTJfXgVqefywXS5hdf0sTvvaCv3+jVy/H36GuJ9+jKZKdcd+N5L99S++TJtQWB995b3QI+yRtacU5z5wt/qf1P//Oaf4aCqHgUpeNaGPndfrU894XhmLWbhD6QXs+yrP8g6V/btv3/bvE0AukydhoI1/LLudnBptG3t5r1JFJNICZt/lkxJyfl9PWVPG7evi3z3Xe9Ns+dnTJeflkyTWUPH5a7Z4/3pDqX+6u1Rn8uqinBV833NMgZab/Hm+L22isrGxue7P3wh5W4etUrMZhPXXEcZY4c0bu/+3u6cSO2Ossc16X/vKzLVzu0oo2LPQ3D1X335QqLAU+e9ErPrS+QtJ31QXMq5W54jaAmIYonR/KB9E6+awRgO7OT7VfLcx9lDesrUuXvLMs6KumbJL1U7/duBjtdWFKrRXNbLXyTZVX9e9VScfm1WqomEAssaKui/fFmFTPMhQXl1iWDlizSNAy5LS1ei+fbt5VdDaSjXgkgqM9FpaqpElPN93Tpgx/0cqSLZqLzj+9UJVVXStprL5dvr73ewkc+oj2//MsyFhY0k+nQ18xv1MuJb9ZXEn9fr/1X+zU7W5zX3F74r/2xO3qk9bIeib2mR/ZP6NCv/w/q6KhuMigW25jTXEngHVQFmlovyK22dCJKhWX7habiEbZV1xlpy7I6JP2VpPO2bf9hmf//pKQnJcm27fek61i3NYyMz31OsV/9VRnvvCP36FHlfuZn5H7gA2uPX70q98iRwuOV/GytxN//funmTal97SSnW7dkLCxI3d2bjiuqjM99TvFPfEJuMim1tUmrVUmyzz5bdttX+txqlN3mCwvSPfco+/nPV/x849YtuQcOlDxuvPyylErJffBBGYYhd3ZWxtWrkiT34Ydr9js0UtDfie0k9uzxAt11DUtkGMrcvev7dY3PfU7xJ57wPgt57e3KfvrTO/79yn2GMvMrWtp/n+b/4I+1tKSK2mvnLS1Jly4ZeuUVQ6/+5R29+oo0tnKg7HPb2lw9/LCr06/9gR7uuqZH297UPYk73v90XRl37yrz53++5fvFYl5JuZaWtb+rna3Oq/b7Vynjc59T/Cd+Qrp71yuRGotJe/Yo+9u/7Wv/JQYG5O7btyH9z5ieVub1132Pc7fYyfYr3FGogaA+bygv6a0QDndqh2VZCUl/Kulztm1/soIf2dWpHTu5vVSPW3vrc7WNu3cVHx+XHEfuo4823YKZam6z1eMWcMEWt4CryZEuXqSZPxmYU1My5ufldnVFPkUmDLe7ex9/XInXXy8tuWgYyjz44I6qxATVVVSSkn8xqtRTv6SlRKcWU91aWXKVSzuaO3u2pDZz4fkvvlio4Zy555C+PvgTejnxnkIljbffjiuX23iuisVcHT+eLamicd99OcVi0t5PfELGnTtyi+6iGEtLcnt6SroVekFzaZ1mv0FzOUF9hkoWPedyXsnDHSx6JiVgZ3ay/ciRjq7Qp3ZYlmVI+t8lXawwiN71dnJ7qR63ptbfjozdvu01t2hp8W5ZN9ntxGpus4XlFvBW6QGZ06dLHl/64AfVZtsyFhcLdcAVj2vmU5+S5O3HrqeeClVAXU36TMfIiIy5OcVmZ71cBNOU09VVk89npeNY/oEfKBtIL//AD+zo/Wv5ectm19IzlpcNrdz/vUp8vLOkwcnCugYnkvcrzXzuq7ry7Jf0yvL79XLuYX395sNa/Gpb2fc5fDhbqJ7x0EMZnTiR2bSl9sITT6jzwgXvfVa7FcYzy8p8eEh797qFnGY/9Z6rEVQt+Y6RETldXXIPHiy5EPL72aSu9M6EZfuFoXcBKlOvqh3fKen/k/SKvPJ3kvSUbdt/tsWPRXZGeqcNUzpGRpR86SW5LS3K7d9f9WKvWpS42+53WH+1nLh4UTIMs5DQnQAAIABJREFU5e69V+bevTteMBM2YZiRDnqGolyd83yzoLDNilS7LQ6cPClzbm7D405np25dulSXcVRbgq9Sfmek17fXXl42VOld6bk5Q6+/7i0GzM8237lTvvRctzmrk9/WUrIgsKur8vNOPC51/s1/0r7f/x21TVxR4r4+Lf/kk00TUNR6saHU+IW1UReGqh2or8hV7ahQJAPpWqVkxCYmpExGhmEoe+iQ3D17Kg7GalnZQ5mMYpOTMtJpZQYGNPfUU4Xfo/hgY8zOyu3oKEkNaNTtxCAWBVZTMaPaz0AYFjFuVsvWaW+XkcmE7jZxtZ/xksoWeTWobNEzNKTYlSveYs18cLxnj3L3379hHH1nzsg1TcWmpkrafhuOs6OLzUrrEG/bXnsT6bTXUnut0UlC165t0lJbS3pIr+lRfU2P6hU9Yr6qw+YNTY1WVhs6Hl9bAJhfDBj0THOjBZmag/oikI6u0Kd2RM1OgpVapWQ4Bw4oNj4u13UVu31buXi84ttLO701lR+HslnFb9yQaxhyYzHFr1wpaUldXAUhfzIvTg1oxO2watpoV9qmuKDCihkrg4NatKwNs7vbdaqspO33VpUndvq5VSaj2J07Mq5dUyyRkLNnj+Jvv63swEDJc8OwcrzadAZjk4hxs8cr3Zbxy5dlzs7KNc1CK+/Y1JSMMr2sq237XamVwUFl+/uV+uIXvTFJWnnve3X3vYNanq2uvbbjSOPjsZImJ2++GVcmU76l9tGj2UI77e/45I9pwLmohIqmtR3JNcqfZuLxtVzm3RI0l1N8vG7ksTNIzJCjmTEjXSQ1OqrOZ55R4vJlb7aor09KJKq6lb2TtIr1P2vOzcm8dUvGyorS3/7tvlJEyh24tjuo5ccRf/ttbxprtVyXkc0qe+TIlg1AgmgRXo1qZiqrqetbzetWe7u/Fmkg1daYXu/A6dOFgNAwTbmrdX1d11Xu6NHIz0gfOHVK5sJC6UWQYchpb9etixdLnlvN/jtw6pSM+XlvGmP1dV1JbkfHhtetdrFhpcFH18c/rtRn/0jLavG6BKpFy2rRwvu/X3M///Nbbsd33zUL6RmvvZbQpUsJzc+Xb6nd17dWr9lrqZ1VW9va77L//e+Xsbyk0kkdV25Lq6ZHP1/IZc4vBoyVzwTZlcJw7AzKblo0x4x0dDEjvYlqb5l3nTvnnZxjMclxFL9xw0urSCYrXvhRvCDMuHtXsdu3ZaysyGlrU2p0dMvXWL+YzOnslBuL+QpaNpu5rGQGND8OI532toXkVeNYPRBuNuuXf8/e3l7dqcHBxM8sRjUzldXU9Y2Njck1TcXfeqvktny5163mrkStFop1PvOMzJmZtdlOx5E5M6POZ56p7GSVTnuLRU3TCzJXg2klkzJWy1CGaeFStXddFp58Up0XLnjbJhaTcjkZjqOFJ5/c8Nyq7iq5rgzHKf23pHLTE7Hbt73tm8utBfOm6T2+znbf05WVojSNz35ZGR3f8Botn/98SSC9uGjo8mUvaL50yZttvnmzfDTb0eG11PYqaGR18mRGvb1bt9R2W1tkpNNKOCtKaVktWlHKzCjZ0aapI9sUlt7lan3sDJOw1GUGgtK0gXS1t8zzX3Yjl5O7en/RdRyvIcWxY4XAZrvgLn+CNxYWFJua8k6ohiG3o0PdZ88qt3+/zPn5LX9W2jo4CDr1JD8ONx737vW6rgzXVa6vr+pGAX7HWu3+y6u6ucH6OzKbpGxUc1u+muA419+/aY5tNaq5KCgrmZQxP6/8ajNj9TWc7u5QrhyvdkX7/NmzklSSbjP/5JOFx4tVdXFjGF5gvm6mu6x0Wq5heJVt8rJZLwl5nZI0L9fQcss+LeccLfzaZ3Tz/u9Vcezeqo013rKK6U2d0Bf/pLXQIfCdd+JynI1jSyRcPfBAaem5e+/NlXTv3kwisZbTfM9Au9quTShxd3rDYspyuN2/O9BYBM2uaQPpaq+C81/2fG5wfmbOSKcLgVglwV3+BN/90Y96QWhLi3J9fV6u882bMt99V4rFyubjVhIcVBtgrj9ZxS9fVu7gwZLnrD+o5cfR+cwzSly6VAgOzJs35ba36+7TT1e0D/wGw6nRUXV/9KMyFxflplIllUvW77/1v9/KY4+pzbYLv9dWM5XZY8e84Hh1ZrDQpni7nNV8rvQmqgmOVx57TJ0vvbSWY5tOKzY5qcUPfWjrMZRT4UVB2THv3y9zenpDQJjr7W14R8DNVDuu+bNnywbO61V1cZNMSktLG1pdl63llkx69Y9Xy+/JcbzZ63XPTaelhavTWug8rKV0q9LuaqCccGWOT5cE0ZI3+z2uw3pFj+prOq1X9Ki+rm/Qslql/3XjMPr7S4PmBx7IyutFsLVEYmNOc3F6hvNP/pFi584pd/Dgtt89v8cGRE+tOzcCYRPqQLpnaMj3LMVmV8Hxy5e9lfbrAtX8l93p6/MW+a2erdyiRX6VBucrg4Nyu7qUOXKkEMjEX39dhTOg48jIZmWsrGy49b5dcND5zDMyb9/28mCTSS/I3CT1pNzJypibk5lIyNm/v/C8cge1/GsVGgWslmSqNDDLb5dqb+kVUmwWFuQmEt7M78SEspLczs6S/ed0dCh2+7ac7u7C79dm21q0LKVeeGHbma65p55a+/0yGbnxuJy9ezX31FMbnmvOz3ul/W7fXkvtOHhQ5vz8hudWExynXnhBuQMHSkqi5bq6lHrhhYqCvjzfFwXFDMO7K5PPkd6uz3OTqmb/ZQcGNpS0y20yC1vuuZk93Vq4b0DT00ZJe+29fY+uNiFZm202lpflHDyou3eNQmrGxYsJvW68qDvuvrK/y759uUJ6hle3OaPOzu3XxWwXNJfdblXcJeB2f6n8hEBifFw9hw831ex8WOoyA0EJ9WLDzIkTvhcllFuMZN6+LfPdd5Xr79+w6EFSIeg0slmZN2/KyGRKSr5Vs5Bw/fsnXn65/C8Zj+vmaivm7aRGR7Xvwx/2Ui7yi+NcV9mDB8uW0Cq7DaamZE5Oeosot1mUtt2Crs1uzeYXXGy1vWafeabsz+bfM3bjxtqdAceR4nE5e/aU7L/4G294CyDvvbcwY13tQrhKby9XW0e60nrBm22j2I0bXuBV4W3vku5o+f1aRXe0vjNnvDslt297FxX5i61crinqgFejmv1XzUKq1Oio2p56WouJPVpKdWl50VU6bZTtEph88UV1Xrig5XibLuohvTp/v15dGtBX279D1+90lB13mxb0DXpVj+plPaKX9YD1kDo/+kPbXvv6CZp3qha17ptFyULhfGfDKhYKR8FuSeNhsWF0Ne1iw53MUpS7CjbffVdOT0/ZWZA7zz9fMpuS+eZv3vBlr+YW1fr3X/uB0hNHNbN+HSMj3ixt0a13N5NRfGxMbiKxYQa/7Kz8agAtx/FmLXM57zXL2Cq3batbs7KswvYqd4vc6e7etOxc/j1L7gwYhoyVlQ37L3/Sid2+rexqIF1t7l0l6QGp0VEZ09OKX7myoZpLuVmV2Or+KNluicSmOdLlLnaMuTnvDkmFt71XBgc188lP+j5Z5fdV6YuuVJ2rXU/lGshsNYtf6cm8uF16geuW3X9bzcK6rrS8XNTw5Nj3KvaxzbsEOo507Vpsdab5e3XJ/C69OdahbPFhenl1jDFXx455iwDf86Xn9E13RvWA+4Ziykny7kpk/submjZ+qGS8+aC5uHpGJbnQtcbt/jXFC4XlZ6FwBIQ1PQyohVDPSKdPn97RLMWm+cE+Z0HKzT6ZMzObLiAsfv/Y9esbUyNcV0okdOOddyo6yednDWMTE94tfMcp1KvNHT1aSEPJB1zlZlHjFy96M46p1I5Kvkna9P8Zf/mXmpqaUseFC16lBNMsqZSQ6+5WbHa2bNk5d+/ewuuaq8Gksbwsp71dWk2nKKTLvPWW17TGdZU5dapkDLUqzVa8z827d2VOTXkVTNraNP+TP1k2cCspc1Z00VOuzFm5z1S5QM7v71Vp8Fi8r4xYTO7qvpqrMK+43jb7bG023nqUJNzQXntly1R6TU2ZungxoctfmNSlv0nr/2fvzaPjuu4zwe++paoAVBF7ASBIcYdIiiSshYvodNpDy0kmSidKMmTSdhy702k5lOL4MHF6bKq73X0mZjp9IjMaW2HC8WRfbOq02+lpZ8ZtNSbxJDQXURJFiqTABaRI7ACxVgFVb7nzx3331dvrPQAFFqj3naMjsvjq1X1L1fvu736/73s3tx6z1Lva3N5ut57bskUBn5+3fvSj7A+CAEIIKKWAriNBFEyd+fsHTpq98EGyRCuH9o0b2R8c1w8AhsI2C8eoCsQV6ZWLhzbZsNjdvaTEaCk8e63ERE+nIY6NQa+vL/swaHnmGci9vaYLBre+4tKRMA8VPn6iaez/+TxLZ0ulzNAMp/TCuV/pxg1AkuwVU0UB0TRoa9ZAT7MHuTA7a9MgO8dVf/So79KsfuMGxsbGfJfIxcFB1tRpfaobD46Jr3/d91ykT5ywXT9hZsas/qqbN1fkYczPOddqU95oKAjQs1nPz2rduxfSvXuufWnNzdAefdRFapd6wsex4PhqLu1YgvjqSqFt2zaQuTnYEjxUFbSmxuXfDCy9D3jUeO1cjuDatVI64LVrMkZHvfUTq8g0tm+Zw9b9daauubHR/3e69aMfRQJFJEUVNaSABJ1HSstBEKqbiFXDcn81jKF940Z2Q4liiUgbKZzVfP1iuBET6ZWLh1basdQJT+WaHsL8qPIlKquzBMnnA50lAEdjm0XDOnP0aOjGG9OWLpFgzWVXrzKLMosLh1Xa4LXsjDt3GBnkUFUm9QAAUYR8/Tp7ubOTVbsJAZVlVnn3aM70Wprle/ddIh8Y8HWYKNewZL1+VBShNzZCa2lxjS8syl1zLjWRbt0yQ0rMsSuKtzf06CgjeNZJEwBxfBzUR67hNWFa7LJ3VD/rsHKUaoDZjGqFKLLQFQ9EseDyugcnn38B03sPYH68fLy2qtojta9ckfH++yIodf9GJ0gR2+Tr2Fl3EztSvdiRuo516i2grhkTv/SK5/4TiZLlXDJJ0bmJInmjD5SKIEQApToI1aBsXFxi4krBcltsLjWWpFE4RowYDwxVXZEufPjDS14h8PvRjdo0VP/SS0zDa2iWCaUsvCWT8a0c+n12dt8+UEFg0cKWsA+vBkLrPsjUFGg6HUkCYEvzEwSQ+Xmzqg3DHxkAIElQN22KVLXjMhc5n0exsxNkYoJVNx1VQHFgoBT2wh8cPvKSsOdwIQhzzTmplW7dgs13jBDWAFlfj+GLF237bd+4ESgWPeOnlV27zD8Lo6NMJw4AuRyIrkPPZDD/sY8hef78ope9ozR0RU3di4JKVP0WUpH2s7Tz+q44q81+8dqUliK1eULg9esyikU3aSaE4pFHNFOesW2bgqf+zSFI9bXuazQ9jfFTp5BIlBoBuUTDKc8wJ/Wzs+weFQTo6TQmX321amUSSyXtWMx+lipVdLGwNQrzZsMIjcIxqgdxRXrl4qGtSFfix8yv6SFK9c7cNpUynSV4eIsmSb6VQ7/P9gv7UNvbPa36rBrs+pdeAsnnQ9sKOS3f+JKi3tEB8d495ghCqS3NLkzVTk+nWVOgooA2NUEYGYEwNQVQCh2OFYAXXkDdn/5pKNu5sOfQitC64BMnAEWBOD5uI1de4TQmOOGRZbYE6xGmoafTEMfHXa9TCwMi09MQx8bY/WMhr8L0NGq/9S3kf+ZnIA0OLop8RmnoIjMzcBsUU/b6IlCpqp+ZVKiqNo30rEdSIRBsaadplpRAo9rsPBUck5PErDTz/6anvYXHra2aza/50UdV1NXZJ1fS6lbD5q4GCaIgRQpIzU8hsW4VVm0IF4oCAEgmQYtFk4h5+lhXEaLa3/l9pxdjo1ctQSHWRuHEwACUhywiPEaMhx1VTaSXE2F/VJM9PZAvXADRdVBRNGUa3Fli0VIUrsHVdabJHR93OVuECXDxe/AUDhxA7lOfQt3Jk4zEiiJofT30TAYCD6MBmIYZwZICK6ltPngQGBoyK7eSIDCNbXs7aGOjaxxKd/eCl2OXKrBG6u2FMDVVIleqylYFZmdtE5j8oUPIvPJKiWjKMighIJS6wjQAQJib8760FsIsjo6COl4zQSlSf/u3GL5xo+z5CEIU/1YzvtrKIH3iq6OgUn7BUZIKAbtfd7EAzCUakctkkeu5hZGfdGuV6/7kT4Bv/A2uzW3ARfkJvN3547g0vwWDg94/mXV1PFK75Nfc2uofqc0rzTWf+Rlkf+vfIKECpDbFrpFWxNSvHglNotMnTrA+jY4OSJIEVVVB8vmq9mSOQmKDvtOLIcNV6RxSvSvEMWLE8EFVSzsGBgaW7cPCLPOZYSEjI4xwEGJWgIiqQq+rW9ByanbfPmbvZjhCQBAYydJ1T3cNrqsOQyaD/LJpTQ2E8XGIw8PM0i2ZZO4iYBppbvEWpnrYtnUrBI/qpZ7JYPjatUjnww9RpBhhlms95QGFApPpbNpk+wy9rg7C1FQob+GORx4xJ0OlQbBrqG7eDFpTY+rbfTUDAAb7+xdxthjCVufb160raeUtyY1RfM69ENUveKllILrOKszpH/5R5Fa1YZ4moUMojcOQUGgacPu2hKtXJdz4mz5ceS+J69gCzaPWIIruSO1HHvGvHnPSXJJo2OUZiz1m6znmRHopPZkrIc2J6su+EPegciua1eIcYh2HmMlAm5n5wDqYrHTE0o6Vi4fWtWMhRHopGk/KkTSiaUwfzcmBIEBvbTW3DdJhewaYWHXLnDQXCua+ecMalwboq1e7xmlN8yNTU6B1ddBbW5mEYHQUpFCAXlsLzWgidPkWz86yyrTFtSPK+Wt/5BHmiW1YvXHrN0oIlKefXpKHcJiHbxTi1tbdbVakIQjMvYRX5OvqzAZSks+zhstcLtRDt23zZs+qNE0koDz1lE3fLgbc415EulIuA+1btjAXGMd5o7W1GDIaUBcyjqV2yyg3hpkfOmCxn2MWdADQ+LnPmRIKSoEhtQWXp9fjkvAhvLX6x/DeexLm5ryZ8CPkDnbhEnbKV/HIK/8SmzcrvsqJZLLUCMgDTiKEgZY9vnLn2FqRXgqtb6XIZpT9lgt2Wsz4qsG1o5LXL8byIibSKxcxkTaw2B99/qMq9fYy7WsiAbWry9YUyH/QTY/jQgFUFDHx9a8HNi3mDx1C7alTnmPLHDtmawCErpeItAe0jg5b0xRNJJhziJH4J1+5AggCtMZGiJOTjPAb+mUA0JqamNtImcbGKOhYu9as0psw7i1ehXVWxsM+wPh1SZw9C5pK2RxSnCQ5aqVLunYNwuSkq3pMEwlXA6lfGqMT2X372NKy41xoa9ea4zQbVt9/3/uEiiIGHf9WyQpaW3c3hIkJl7RDb2rC8NtvL3gcttS2RSZpOve76uhLmJMzyCcbMD/HKs+TRz7vSgmcmSG48V9u4OY3ruAd7TFcKm7FuNboeR4aGnR0T34fu8TL2CVcxmPkXTQSpvUnqoqRv/u70hiSdvcMvni0FFhI83MlKpqVbMhbqslYNZDhxaDSKwrVgJV+jcIiJtIrFw9ts6Ezqa8cwjSPBYFv03DkCIiigMzNQX7rLVObbNXU6ZkM9EzG/EHn7/XThNadPAk9m/XUigqzs9DWrGEuDsa4USyWrNMckx1xeBhUlk1dr5DP2/ZJUynWTDU2xlxFDHJuvj46CppM2hob/ayWwv4A6uk0sx6zhpDwSrrjmDPHjpnV3XI6ZhuhSCaBYhHSwABUgFWLHZrG2cOH2fXr77cRt+kvfcl9vffvZ+RcFJlWmZ9nw4YqTAOpH/Rs1ibV0Vtb7Z9t6NsbP/MZVgm2wvAXd6JSemMALI7cx0d60eOwrFC4QoksKKd3VZRSU2DN730Lw2QLdLkW0AEkAaLPQf7L1/D2qh+yNQPevSsByALYb9t3SlbRtY1pm7mTRnu7jtYf/3U2kRVK2umkPodELYF85e/Q/Cd/gNp7N6E/svR2ixxRznHhwAHkDx1ifQ99fRCMlMelICqVbMgL0zgMlNf6h91PtaIqtdpLiGqxGYwRo1Kokpwrb/AvXLKnJ3C7ZE8Pmg8eROLMGYhDQ4BRJYaqQhwehnz+PNq6u9G2bRvaurvRfPCg7z55XCuMZkJrXOvs4cMgxaIZhELyeQiTkyATE8ju28cqnL299khwsB9/IZfzfJ0/UKlhN6ds2wZ106aSiNJrxcCI9+aEz0lO9GyWTav4NroOQinTFIqMHJBi0WyOhKpCunPHPAZ+bqyacOsPoNe5yxluCdwxgBqf4ySQtKaGeTJzkmAQbZpIsImQA+bkaHCQjVlVQVWVyVX8fMZDErfk6dPQ6+uZJMVKorm+2dJAWti/P/S50NauZU2cNTWsMdHwvHY+GAsHDmDiD/8Qemsrm+RIEmgqBb252dPBRLx71/ceWixmDx8GJAlaRwfoY4+xQBhJ8o9ADzkO3gindnVB2b4dalcX9Pp6z2utrV3LNOtgl2BeT2ByVsbdtsdx546I998XMTwsYGqKQOkfh5qsRV+xE//X1Efw5eHP4OeHX8Xei3+MX/mVZrzyyir89/9eY5BoQBAoNmxQ8Oyzc/jN35zGH/3ROP72u+M4+Qv/N/7t9X+Jg3/wU9j+Hz+L1Lkz0D7+s6hXx9FWeB/rCr3oKlzCevUmGn60G48c+9eoHbsH2hh8D3ghyvcpyjlO9vSg9tQpNlHftQt6NovaU6dCjysI1mvCsdwkj0869WyWBT75BCGtVMwePgxhchLS9esgly9Dun4dwuTkkuUnPGjYJoVlfu9jxFiJqOqKdJiKm3W2y4kTUdWSftkwtydTU6yBb24OYl+fa0bMK0VmE5jhEwxCQAFIt24FWr7xByOZmYEgyzYCSebmWLPa2Jinj61XxYVKEmh9fUl2wKOQjWU/0y2EL8VTCunmzdK+MxkQXl1MpaBls9AzGYjWxjELSSeFgqtakDl2jFXJVZVJQFpbzR9A5/WwuiiQXI5ptNvbXa4WJlEKSRJszhqSBAIw4musBDgrelYHA/MzfRwMpN5eCDMzoEZTpUm8BQGQJDOanF9zMjwM0SK50ZNJ7wphgNWaE1brq3JVSm3tWl8v5MXCem9LAwPQAyy4olTQxLt3QQXBdm9qLS2ua62qwNC/+CwS//53MKekMZesB+YLIIqCmUO/BFUtRWpfuybheu6reHd4I2bKRGozJw0FXV0qamvtk9Lk2TNo/r3fYfKMJgE1U5eQ+t9/gOKe3aglIy5PbS4tWuiKQJQqc5RznD5xAmR8HKIRRiMB0OvqlmSlIorzSyWx0qvOZRFy8r8SUS02gzFiVApVrZEudneX1YpZ9XPylSssWpWTIcuPkhlJretm5c0rSluyWI5RWWZk2ieu1frZZlPf/Dyg69Da26G3tJgPnsLu3aj99rdZY5vF93bmyBHMHjniWvIt7N+P2lOnIA4MlLydKQUVBEb6OIEWBOiyDKFQYOO17Dv/3HOuYA/p5k0mW+D2doWCSdSVHTvYa0Zzndzba1r7maEzHR1l9dRcJ+an89Tr6jyDWkI7awQEb0RqNrTsm2ga0w4Y9466caNNZ9q2fj0ED4cNXZYxfPu2676waa8FAXpDA9StWxelK00fP47Myy+bx8SPceY3fsPX9m0hsF6/xYYXeTbSahpmN23Hvf/y/5hNgfzUJs6cQd1f/zXm+idxedV+XOj6WVzObcLVqzJGRnwitTGFneQydibfw6af344tz21CU5Pdeo4QuMJNVv/CQYijbu2t2NfHxmk5z9yqUNmxo+y9FRS8FPbejHKO2zZtgjA/7zoveiqF4Zs3Pc9ZFFSDvrUaxlApPOzNhtUSfLMciDXSKxcPrUYaKL+MaJ3t0mTSlCqYsgZOhLlUghBWGbPMiK2VIppKMTIMsOY8VTUT3gB7Q6IwPl5qTDOCRagsgygKhPv3QRTFbFZMnzhh+tialbn6eiRPn8bskSOeFRelu5slluVyZlWZ5PMgw8PseFMpQNMgFArQ02kQI0iF71saHHT5TNOREUYeeZXbQsg5aE0Nk6gYqY0ghJ1DVYX0/vvQMxkke3rKPsj8fK4BhK9yJRKsQm8ZLzGutRci6Q0t+zZ10gajc1a7vUi03+tSby8j0XySapAlqbfXcx9hkfrOdzy9nlPf+c6iiLSzyVZIpdDS3AxxdBR6QwOoIEB+6y00ffrTULq6MHP0aGCMuxOaBsyrEuZQg3mkME9qUFBWY2KM3XOqCvT1SbhyRUbv9z+Eq1cfx635TugjIuCw0pZlZj23o+kunnzrz7BLeQMbtFuAJILW1GF6+xehNG/wtJxzFvmke96VMqJp9g05qQa7l4LurSA9aJQVhSCPeCe8SHTQ61HxoKvBD7vG9mGv2FbLqkaMGJVCVRNpXw2sBbYGwGyW2dJJEis/6TojuMlkiThSyoiv5QFoI+P19SaRZi+wqrYwNobWvXshDQyUKt3Gv5vbGzZqNJWyVbwBoP7oUejNzbY4b1Aa+GNZOHAAk6++aqtMSUNDgCgywq5prLJsaKDVTZsC900mJkAVhUldOFkQBDYZsBBTLr/Q29tZRdxiCwcAZH4eDUeOIPfpT5uWe9ratSATE0waA6ADQOHDH8b9U6dcHtfpEyfYtZ2cdDmjOGFrgrNMErya4IBoP9pe+9ZbWz29oYPgmlTkcnayyyVH9+97TkDCVtukW7fYvW01IdZ1FoKzQHCSAkVhEhoAmJuDNDnJfMwFwXR+oaIIySKL8jtHxSKMlECCuaEUVGELY9OgoCDoJ4/g4vATOPu1NK5eldHbK6NQ4FR1lW1fG8U72Pohgq5/0oBt2xRs2qQikQAaP3cUpGUcqElBJI8gRQqomZ/E6m/9HmY//pehVsb9Jl2lvzgcaPhqEOz3VmH/fjPAh1tPUv57YpVvhJT8OO+HqWPHHgrCuFBUssm5qIssAAAgAElEQVS2GvCwNxtGmRTGiLESUdXSjsKHP1z2C+dcAhXGxyGMj4NmMtBaW03nCjNJDmB2b4oCrbUVwuyszXdZunmTyR2s4RRGw17ogadS0NrabBKIhSxvednxkZkZ6B0d0FeVCId04wbI/Dx7uFsqXXpDg+mOQVSVha1QapAaPgi23K6tXg29udklvyCaxpa6rceXTJo6dG39elY96e2F4GHZp2zbZiYb6ul0qcoZ0r4t2dODhhdeYI4gXCZRV4fJ3//9snZ55X60oyyfd3R2en4WAGiPPGJ7T/vatSA+94tz2yj2cO0bN4JHupd2WJIdLWT5m9+X4uAgC6PhjawA06Tresn5BQBRVajr1pn3LQ88mZsrOWpYD136sZ/HpfwmXMIuXMIuvINdmECT51hapAnskq9gR90t7Ej1YkfqOlYVx0GbmzHxyis2ecaaZz+KhKiidqwfgrIwG0e/6y+MjbmdVMBcYiZefdVTgsX3wa0n1c5Ol0Wjtnate+LmCPVZiMVh0L25FKE+DxoPOtSn0rD9BhgBX36/ATGqG7G0Y+XioZV2hKkKuma769dj6nd+x9VESJh3lrk8KI6NmU2CYi4HcXAQopFYSAUBhJBS5TfA09kFQw7htJTzq5Raq1l+OlS9rg5iLsea+JJJwDEemkqxB3+xaKt0UVE0m6PEmzfZvymK/U6xhL3wh71VfkETCZuVHSx2eoRS003DL6FPvnoV6ubN0BsaWFe6qppNmmEqS/LFiyUSDTAXlVwOqW9/2/dhGXYpOkqlhIqie8mf/5ujAdOPRDu3Tfb0lOzvCDGbR7lLjHMc6saNTG/M3VqMRlply5YFL3/z1RhT7mOBLekQAHQdRbkWM4kWFG7Pof+eaLsVCwWgt1c2GwKvXpXRn/9/PT+3Fjk8+rhsNgNu365g64v/C2j9Kia/AkWSFJGUFNSOXELdGg38VgSAzCoK+fotdo+HsHH0gt/1zxw7Zq6s2M5/Z6fr3mo+eNBmuQlKQTUN4ugoVINI8+qiePdu2VWph736uhBEqdiuWBmI4aIEXQcRBDZ5jREjxopAVRPpsAgiTl7/1nzwIHSj2Y1MT0OYnWVVPl03m6FguEQAcOuJA0CtemzHOLjXq5DLQa+rw/zHPmZWs5w/+ukTJ0BmZiBOTZUqhIQwS7+RETYs3syYy0FvajKt2rj8QRwdhWr4EZNi0awwshdKdJpKEoTpaVfzHh8HeAMm964GStIWVWUkMyDqmj8AebXFSjLKaQHrTp5kKwnWhEddR+23vgV106ZFPyzDkm7a2AjiVWmQJFNTzidEgfsxjpc/8M3KJ6XsHHIJxfXrrgnWzNGjTDM/O1uqzqfTZmT8QggYJykmrPcFpZhHCnm9gWmbaQrF1tWgswLU7Hpcuyba/Jpv3pSgae4JvQgVj+I97MQ72IV3sBPvYCO5jfuv9JgfmUwCq9amUTN+D8k6EQmisMWgfB76uiwKPkmC5g4WuLLmdf1XffGL3h8zM+N6zeYqY+jsiaoCc3PsmlqkRekTJ8oSwgXpZf2Of4mcHx50hTeKXGslTkQyx45BMBq8ieFfL+TznpPpGDFiVB8eCiIdFdaHlTg6ygiqIX/Q1qxhDy2DVJuVWE60y4DoOqimsYCV2VnzdavXq2Y8DGr+23+D3tQE2tBgi/JuePFF1vTlaBYilALFIrTVq0FmZyEYQSHC5CSrWlvKg7yiwZujaCJRkqsArgevYFhnWcFJhum8YKlMlt4o2PfrAW59Bk0zq6jmMZXRAgozM/axWtwUxMFBW8qhtdIbNqJdvnjRNrnJPf+8Z+Oenkp5mq5TGBHrRtKl3tAQSHr48fIHvnuH1KwEO/2G84cOMY9u7qctSeBZ1QttWDJJCiFQIWKOsobAOdSigCSoIIIqwJDUiYuZD+PS9DZcmu/C5eGdyH/Ku2q2erWKbdtUbNumYP/Xnsc2vIsaGA28oEiigBSKEFt1oxnQINOf++esmjhvyBry/oTJK8RI6+iwfecWCnF0lDUp898AYwVAHB11b1wsMl25MXmmsszcdQDbCo8t7CkgLGhBellJ8l4Rkhb/814NFd4oK0crsXFPunWrlGrLw6CM12PEiFH9qGoiHTXZMCysDyvC5RC6bvovY80aiPxhZ3hCC/fvB++Uk0xKGZmWJOhMcwPAu1JCVBXC9DRoMglpYIA1dEkSI7U+MgIA0JubIYiiqQ+0WoxZl7nV9nazOUpvbWUaaa+hGw/htu5uz8a/maNH0fDrvw4yM2O6k5hhMI5GRE/wqjX3vzaqy2G6t6kgsBUCr6qbqpZSDjMZs9Jr1VSL/f1ouHQJuc98xlX9b3jxRQjT0+a+hZkZ017OSabFwUHvc6eqEO7fh97cXCI/fqsXhmPM7OHDrPm0oSFwW990TA+P7KgEjFImxZh84qMY+s0aJD7/b6Fr7DrOII3LRv34YuppvCM+gbGZFODxFaiv1+3yjK0KGhooPwR0/h8XUFuYRArzSKKABIogAPRUDbRV9usZhTDx47U22JJ83vadWwyoIDAZk/mBPt9HD1cZCAJoQ4O3VruMX/BCHA7UtjZIHt9tta2t/IGWQbVUeMOuHK3Yxj1VNdNVCSGsaLEEE6EYMWJUHlX9TY1a/Qi7BGl7WBlx3IQQaNkse02SUNy921yOFe/ehbJlC+QbN8xAFBesr+m66+HnWSlJJkEKhVJV3BLlTTwqxByeDwarEwfAiFgmg2lj2Z8fA9cpe0GYmoJ4+7brnHuFhpCJCbb90JD5ea7zwo+Jj4dbzMmyS4/tpRMHANTVAdPT3ufcI8Z71Re/yKrYlvMizMyg7pVXoK9bZyMEwvS0cSGo7f91r77qItJ++miAkXi9udn3363ng59Xl6SiDHg6puYTZDN17FggAdM0mJ7NvDGQu/3dTH4E7yd+GZcL63EJu3ALG0F5/d3Sc5dIUHR1MdK8bZuK7dsVdHRo5mXmNnNWy7m2zASEgockpq7O8ziXKjbaC15e7VbXGX7fBWnRnYjiKhMmLGghDgc0k3F//4zv/2JRyQpvJSQjK9FqTWtttU+EjFU31XKfxIgRo3pR1a4dxe7u0Mbt5brd/R6iUm8vc8JobjZdK4TJSdPRw/oD7wyXID4+rRTAxJ//uaspyVkpEcbGIIyPM+2wJXRF6+x0OWVY4XR+aOvuZr7FPIzGcBqhoghaX286fqhdXcwBxLA6s4GH1jjCasqdb1tgjHEcRNOYZjSTAQQBwthYSdPb0gKaTJrVunLXreWZZyC/955n1ZYa5sBEVaGtXo2pL38ZTb/4i756WWXnTlsFUH7nHd/jc7odBDkjFPfvt11b+fJl93gJgZ7JmDp08/y9/77vfpVdu0pvz+fZZ9TVuXyI9YYG0MZGm7tLbvNjGP8XhzG1559ifp6YWTP37ll1zRKuX5ehKG4tLYGOzbiBneRdbPnpDXjy3W+ga/IcxNVZzH3i54Ef3odUCma4iZdKBQDa163znLhRScKQNWVzAYhCxLzcfcThYZb4aQlOmvrylwGgtALDJRiZDCa/8hVP68KwLhvZffuYneDYmC3l0c9pJOzxeX7/RRF6QwOGL15c6OkFULkwjYW4k0TZ90py7Wh55hnIvb0uyZzS1YWx119/cAOLERmxa8fKxWJcO6qaSOvpdGhLK8+UwUIBem0tcs8/b7Oo8iPZUm8v8zeenwdNJlmF2oiP5pHZJpEWBLvnrHXgyaQrBdFlc8aX8qzvq6uDbkR5B5G8+w6S3rZtG8j0tPcdIMsl27/WVhZjzh+4znHX1ICoKpStWwPTJDnSx48jffy42Zypt7ZCa2uDVChAaW5mvtIeqXbKli3mA6Lcg9ok0lbvbhga8ESCpTAKAmhjI9SuLiROn/Ydr7p5s+1zohDp9o0bPd1baDKJia9/3UYK5MuXPc+vvmqVraEz2dNjJ/4WeZA5XqvDi1c6pqpCTdVinqZQUCXkpQzmahox+cWXMPzo07h6VcaVK9xJQ8bMjJfSG2jHIHbhInbhHezAZezAJaSRY0YtHU2MLNcIqClMIankQhOejjVr3BIG4++DPlKjSsB5n0k3b5YmmIY8xHrfRSXpYbb1S3m0fh+s+wydbGhN6CQElNLA9M8oqBTh/SCl3ZVDdt8+QBSZ3l9RTDkhNC20lWOM6kBMpFcuHlr7uyiWVnwJUhgaYk1BRoCCMDOD9Fe/ajb1Ad46PzIxAWFigtlXGb7R0uAg1NWrTcsyZ4OT90BEf80wX351WtAZoABLKPTwsLXC9QArFn2vPjU029B1iEND7CHrN3kydOJW6Uj6+HHPZjyzebKtzfToFkZHQSYmWOCLINhdDhxLz5x8JM6eZb7blqZB69KxODrqWY0mmgZt1SqI8/PQ29qYbjxIKmHok/n+/SZB7ENF2xjFu3dZ2I9zOZsQzH72s67leD5xccHREFY4cICdb6MJ09bYSoj5mZyc8XRMdTKPQlFAPlGPeQ0ozknISfW4gu24VNyBS4UduHj0CQyoWc/Dq6vT8eijCrZvVw2ZhoJtH/8xiPM5oxFw3vx/gmhQa2mJ8EgyaD4RXiPLG+Gc99wy6z/Fu3dBBaHU+GpUmq3f44VKFhaU/FfGaSSSNjli+mcUVCpMYyU2BVYKVr2/LSJ8ifT+MWLEqCyqm0iXgZXokKkpiLOz9mhmIyacFIsQpqfZLN+A04ZMMHyXiUFKqSCwZdjRUagbN5oPEWuDk7mELwilh5ZRCXLCqo/0q4QKuRyooR2mfX3eulxCkN23z/ZAC7Kes5F64wHru62uQ6uvL9l1HT+OzPHj7FzIMsjcHDIvv4zab36TkVZBgNbWxiYXAwNsgqAooBs3gigKpMFBJpfJ5WzOCuLoqK0hkORykPJ5qOvWga5aZdeAOyUo1mPJ5aC1tZm+vLS21peg0EzGRQi0QsHzwa10dbncCsjcHHRDJiMYgTVWhw9OppI9PWj65Ce9z69HRdvU41r9uTUNyubNGH/tNVAKzM8zfXO67xXkM90opBO4WXgEl+e34N18Fu+gG9fVLdBhCWoxLrsksUhtkzBvU7B2rQYW/klNecYj0j2kvLoJdbjuZ6fdXxC5qmQjXBTo6bStIZeoain11AC/7yrlVBHFacRJ/LkMxOt+teq0oSiALAemfwLR5A9RJgph97timwIrgNnDh0tuLpoGyQhksbq5xIgRo3pR3UTa0Ot6PWhcDztNgzgwwP7RuoxsOHJwEuOUfWSOHTOrglb6ZZLTQgHC2Bi0DRtsjSxQFOYowZPgDMJKdB2zzz/vGqt84QJz8/ATkxrgS3lt3d0g4+NuUkgpxKEhCGNjaHjhBWhr1riaDD2b/vj/Ayz89IYGaOvXmw+/hhdfZBVtTStZ3FHK3D9EkVk0DQxAXb2a+Skbx4/6elDD8YTMzEC1rCiQfB5kagqCk/wb+9XWr7c1B7m2s76lvt6zquWs6OvpNNQdO1yEIH38ODK/+7uu/c4/+6x3RdASEe0FM27bB15BLU5HFEVMIl/fgeFf/Q+Y7hcxPw8MDQm4elXGLe1LuHyjA1f0bZhDrccnAOvJbezEJewil7D29z+D7fdPo/m1P0fNmTuQ77VAXf+LwLp/4tI0JwTvVRQqiqaFIofT7s+PaCZ7eiB6ud0sUSNcZC2ssyEXMCVDTr/nSjhVRHEa0dNpm6SJqCqku3ehPPqoa1v+u6R1dEDMZKDNzAQ22FVqohBlvyuxKRCooP66jJtLjBgxqhdVTaTVTZt8HzTOh53e0gJxeLjUcCMIjNwJAqs8GRo0cWyMEWZCQNNpyL29UNesYdv5JBiKQ0PIf+IT5jJn5tgxyH19TMuWSEDI59lnCALyP/3TNscHUxutKOxBHkAMbcfe1QXp2jVWYXcQMGpoYwmlEK5ds78xSPNexgt7+O23bX93eThbP0PTbAErpFgENRxNyJtvQhYE6JkMi2DP5+0RzD7ngKgq9Gw29MPJq6plpjxaj2N2ljWXOh6Cwvvve7odpL7zHQizszaSLgwNMekP/4y5OWSOHwdQssrz9Yb2AaXA1P4DyP3cZyD8yTdRKFKMJlbjwlMv4K03/2dc/UvWEDgxwSvNP2F7fzPGsBPvoBsXsVO8isfEK2jCfdRoeQgbO6EIG5E98W8gJwloSw3IRC/Ib/1rTNV4ECa/CYJl8sCvodPuz4tomoEzXt8pQrw9mSPA2XMgjI2h4cgR31hlcXSU/SZYG/KMFQCn37NpTWjBUsgOopBHMjNj/65yQu0RCmOVX0gDA9BXrw78Di3VRMH5fSITE6H3G1UyEkRgl6u5sFITEOtqpVXaUc0hMjFixCihqok0yed9HzRBdnIQxZJ1laGFnP3sZ1F38iR7OKVSrFs/k4Fw/z5LCgyoAFBZRuo73ym5fBhaalIssiqjEbENWUby/Hmkjx83bbWE8XFfdw/X51gIYWH/fqYfhltvS5wPWKPxzH/HlE0qEgl/Iu+Rxuir9QVM7StR1VI13vrvug5hagpac7NL6+snfQDCxcJzeBKTyUnPbWv/+I+BujrbQ9BLcgBKIV2/DmXPHhtJF3kDCQ9NkCRQVUXdyZMmkfa6J63QICCfJ5ifZxZ009MEt7/9Hm79WQsu6r+Py+I23Ml3At91vzeVonhs/g10Gw2BO/EO1uAeagw9c1ICUmoOskxB6zOY/HeH0XLiqxCSbj9qrwe03yQSquoiPMLkpMvuz0k0zUmF132p60CAvWMYZI4dgzA5WfJOD4hWB8CCUwgBUinbsdGaGldDV6VkB5GCRaKEwlgRonl8KfTJXqRS6uuDumZN6P2GlYwEEVgAyxYYU6mVilgvHiPGykZVE2lhZAS5558PrbHTGxogjI+zxrPJSZBCwSTRs0eOoPab34Sybp2NNOvt7ewHy4tI8876YhHy1auMiKqqu6rL5Q+aBmI0N2pr15ZNubNCT6ehWuzOkqdPQ2trK/k0B4BKEqsccpJsOGjQ2lqmtZRlqJs3g8zNQeJx364BeDT08Qqe12cigGRb3CeEuTmMLKIL35wcebzuRUykmzc99yOOj0NtbHQ9BD2Hr6oukm6eH0rZxMiwF7QmQmpr19psCwtIGCmBNcijBu9hK/7hj2pNB40bNySoahuAH7Z9vgANW2ruouuZLLZtU7F1q4KNG1Vs+MjPIMXCuo1wk9KkqPjkfuYVvsDKqtNBxvq6k/A0HzwIsa/PZcOnbdhQOt+cHPho1suG+JSBLQ0OYNcDAWlwERryKik7iKI3DhsKY63OQ9Mgj4wEVueXYqLgRSqpLEMcGYFaX7/g/Yb9LP46gGULjKkU4Y314jFirGxUNZHWs1nUnjoFpbs7lMYOBmlOnj4NeFR8rD9YwtAQqzJyf2NBsEdAexCAIH0sh2BURM0fxTLd+Xz8SKXcAS7NzeWJtOEZTQCz6qxu3sy04CMjJvETBwehdnUBPkTaa4TcE9rzYzlp5y4TXvHjFrmMdfk18FgcmPuJn0Dtf/7Pnq8DbmIS5Pfs1QTqNw6XEwchZvIY2xlzQ9GNfcqv92D+zhiUwQLm0In3sRZv43G8g124hF24hJ2YRQb4bffHdUrD2FHTix2p69iZ6sVjyV405/ox++W/McNNEgmgA/52cV6V/IpVVvfvR+bsWdaEKopAsQhxZAT5T3zC9dmeMCZ+Xoi0TO/RP+C3shQlOKVSThVRECUUxlqdR4jq/FJMFLxIJS9KOKVci52AlCOwy1XN5RPloAnkQmDrvclkAldiY8SIUX2oaiIt3boFvb4+ssbOmUoHsAc0mZhgFUuPB7BX89uCYLzPtNkKQaS9CICLiPjtxwhDocYysN7QADI9XYocF0XmJV1by2QVPj7LnnZ8suy/5G8brI+sRNdBBQHp48dt8dzivXvezhoGKbWSKT8yljh71vsz/SK3AVfTnC8MazYrSc/u22dbuShSGfNIYrZxM2796QXc+N03cHnqV3AJj+ESdmII3qlkmYxuc9DY/xe/iTWz7yFRKyJFCkiSIpLz09A3ZDHe7K9nD4NKVVaTp09Dr69nk0ZFYRPRhgYkT582v3v8s6nhw27e38b9qm7c6N5vBA2qunEja8azfm8J8WzGs45H6+gIdS4WZGm3hHA2oVJJgt7YiJmjR13b2qrzBvEOqs4XDhxA/tAhl61llOP17E+QJChdXaCNjUs6ASk3IVyuam6YCeSC9mu5HqSvD8ICrsdSYKUF2cSIUS2oaiINXYcwMQHp0iXby84v/JSfLtKyff1LL4HMzvo3zwXBEZQRuB3fRlWZ/KFcNdoI1xAmJtDw4ouYfPVVNhkwLJGskgIn9GyWBbEoCpSuLsw/+yxqT52CODzMKlmAmTIoDgyg4cUXA8fitNXzcktxHwCL/HZ6JHMQSl0+3r4WdZLkIlN+lSVPfTMMKYiXRzQhTNuLEqmkslwKp7HoUJXNm12HOKcnMd/ShdxYARexC2/jcVxM7MY7I4/h1tF1oPhnro9MoIBtuIJdeAe78A668TYa/sdfIpUqxWhnOj+C+pe+B1pMlCV4QTIXLxQOHEBh927UfPvbZmPo3HPPeX9X/CYgHpVjqbcXwswMs+wzrqUwM8OSFS2fbTbmXr1aut6aBj2d9iSEUTSo888+W3K14CAE888+63suHnSVOQoKBw5g8itfqUh13vSAz2ahGfec38qfH/wmadNf+tKSn1ObPRxPmrTYwy2X+weX2zlXNawTyAXt13I9SCYDfWYm8vVYLCrVSBkjxgcB1U2kDZDZWXv64MwM9KYm6C0t5hc+f+iQ2eDnfOjwB7Q4OVm2Qsz1sDYZhyz7uxrYBkqYBIC/P0RVm+g6kM+DShKEXM7WROPVkEWTSdC6OkbUk0moTzxhPjTSJ06YyYwghBEdShn5ohTC9HTgWKw/oPlDh8ofL8Cq3ZLk38RoWHc5fbxLJ4CU/oObTEUF97v2RLEIcWCAWR/W1WHuJ38Sqe9/3xUFPfG/voTZWdYUePOmhIsXZdwsvoJL0+twjWxGgRrE1XJLEOjYSPqY9Rx9Gx/CW9iFd5DBrE3TPNhpJ6tRqoM0k/Em0kaQjRPp48fNJEQqy4Cmofbb32ZWjo4Hv5fbCX/d6zxSwK5P1nXXd4QfQ8OLL7JJWYBjDBBNg5o8fRpae7uN1OhlSI1flblaK3Fhq+JRZCDA0jTNLfvExMcebjnHweV23LceAEDpomUktutBSEV13qHGgMpqzWPEeNiwMog0peZsmeTzLKVvfBzQNAi5HMj8PDIvvwytvd1Grvls2nxAl3mQA4Z7Ad/OeCjRMkEmJigtVaCjSEMoZUSUELNyTGUZggchJIUCi/Hu6sLM0aNmCIg14MT8fJ6YZ765jMzE+BEnuRzSX/1q8JgliS1vOtLhPA/PUkkl09P2MVj/nEyWdb4oC7/joxTC7CxoIgFl+3aQuTkkz59HcUsX6Jm3UNDrcE9bi/9v+6/g/N/9FK6eYA2BU1O8Ivvjtt21YgS7xMvo+lg7nrrxGp4s/gBZjKFusA8pZRoywjXTRakOaq2tzILP4eSgWR/sFtSdPMlWPHiKoIfTiHl6RNFb3uOVQBihcS9z7BiEfN5evc7nPfW7UTTdvInWNlZZjkxqwlbigsi2X/rncmHm6FE0PP+8+XtBAOg1NZ5Vf2DpmuaWS/5itYfjsNrDLdc4KtVzUA2uHdUwhhgxVipWBJEGSp3ZXC9IFYVFUycSJrEQx8dZxdao0PGubjI1Bbm/P9wHWYmn8efQDgML1VVb3k8JKVs5BgDp9m2zM3/VF7/IPJ8dWKgzgjA9Xfa9VBRt1Rm/tEag5KbCfbw9l6ENQkgbG20NPUFoPnjQXX0KGreuQ58vonj1fYzJbXhD248339+Bi+QoLmEn7tK1wJtg/1lQW6tje/1dPD74XXTjLezBeazHbSR1Bcq2XwE+sRP1L/0Rm+h1roJ42yOEBN5EM33iBKAoEMfHbQ1MvpUgfu5CyI2EXM5FNuFwGjHBVwUcUgkvRGnci+KuEUXT7UwqhKpC6u/3rcL6IUwlLohsyxcvutM/Hf7ilYZ88aJr0i3MzUG+ePGhSBWsFpJXqZ6Darge1TCGGDFWKrxb56sQvBGNE2fCq3KCYP6fWoIeeIxx/UsvlfxYF4JlTpjilekgUFm2deb76YXdbwxH9Emh4Ku75Zj97GdZNTqfL79fw02F8Iq5l2ODsY/C/v3MbaRYZAQpAPJbb6Hp059GyzPPINnTw8buINJFyLiPBvw9fhj/CZ/HL+AvsEc7jc1z7+Jg8a/x23gJf0t/HHfBHhgSFGwXruK55/I4enQK3/jGGE6fHsH3Zvfjq3gRL+AP8BQuoAXjSNNpNPyff2AuL+vZLFsF8HGk8DqnUm8vm1yoqkkIxbExU2+c7OlB88GDyO7bZ7cutDij+HkL63V17kZQTWOvuwZHvSc4Hpg9fNhMHVW2boXW0cGusR+hUFW2kjI/z1YmfCY71vMoTE5Cz2bDaTQX8R0V7971jED38sS2Lr3TRALpEydY1d+wvySFAtOiU8o865cJda++WvqL5VzYXrdg9vBh5oFvfHer3SVCW7vWJdd6ECRvwfdnGVTD9aiGMcSIsVKxYirS3HFBz2Yh9vczQsYjr7kFGyFmFZPMzTEy1tDgXYErB74kTqlvI90Dg1E9DPTNdW7PEUR6jahkKoqs0W9+3nMCQletwuyRI1C6u8tb2gHmw6b2m9+E2tgI6c4d90a6DnF01NXQE3hY8/OgggCprw/1L72Eif/ty8ihDn1YizPYizfwFN7Gh/AudiAPC3m0nIJHcAc78Q4+hLfxFM7jCbyJBn0K8hutEEY6MLvtMAqtB1A/M+D+fBhSFdiXuds2b/aU5XjeR8UiS6q0JO5R43VX4yV3O7Hoyr20yRy5559n1VJVNUN7vCLs2cY+3xGPhtMoulSttdU+0aMUBIDa4e1q4rVM7yWrEGZnoa1ZA4GnaiYS0E/3sUcAACAASURBVDo6wjXIWscXohIXVBF1pX8ax+eVQFgpmPeapdeAe7h7oVoaL8Nq06spTrwSMpKoyZSVQLXcEzFirESsCCJNEwmTVOnpNNDSAnFw0CS7ekMD045qmqmjJsUikDCcEMI0CsLQiRrWUUTTGEHxqS5GGXP0N5ep8KpqieSXq8bxWPAQ2/Ko5LnnnmN2dfC2xdMM6Yz1oRLk38zBl+N9MTXlaugJkowUqYQhrQ3ntH04M/0jeOvXHsUl7QbG0Oy5fSPuMwcN8TKeIhewV/0HrMYgkii4NM1K4wYQR4JaGCR7eiD4JFl6ymUMP2rb38G4vqvx0tpw5djWC7NHjkDs62OuHYoCKorIP/ecp+RA8Fmx8Xs9LKGgmYz7HhQE9noI+Mkq9HQaRFGgbtpkbkvyeeirV4faL0cYkhZEtoWBAfZb4Zis0gX+biwIzkY86+s+eND2flFcIj4IJI9fj5aWFozzFNUHNIYY0cEnhXJ/P5o7Ox+6+zNGMFYGkV61yv5Dun498h//uOlNDEVhVSBFAQWTPkx/6Uts+76+8JIGnk5ofXGBkhB10yZm+1UBEEVhy8kAlC1bgj/HsrTPGwn9YI1KVrq7faO8pf5+JHt6Qv9Q2MhowPkUFAVFR+gBhw6CKazCBTyJs9iHC3gKF9GNPhh+xI5k8CTm8RjeRTfexpN4A3twDo/iPaRQgKypxgQp4No6uufDgJMD3/vNy2+br6ZY3QgMAhSq8TKALCV7epA8fx7ahg0mSUyePx/p2gXtOwyxEWZnGeG0VI711tbQlWM/DTNQCkhaTJUyDEkLItuNly8DXj0NXvKZCkFPpz17JPR0etnGEBVRXSKikLxqdWGJ8XDCOimkTU2xdeAHECuCSBOPGbrS3Y2p7m7mU9vXByrL0NavN23kgJKB/oPA2Ouvo627G0KFqgtE16E3N2Pm6FFfwusETSQCibQVgT8AhouK1XKw3OemT5xgWt6AwBSgdM3mkcS7whM4iydwDnvwNh7HVWyDgoTrPQI0bMZN7BIu4Sn9HHbjLD6Et5HBLCQ4yKsogsopU+ZQDlGamjg58IMn5U0kgLk5VsG0WJchmfSshLoH6D9JXCpLK6e/eJRqIj+GhVaO/WQVwuQkpo4dWxLCFEZO4mevqezYAenaNRZOw1NSGxuhbt0aeRwLhW/6qF9QUhWgUg2EsR9yjOVGNdgXxniwWBlEGvD8ccwfOsT00kZVjwKuKqLW1gbh/n3mrbzMULu6kKgEkTas5ya/8pVIX1RSxg3ESZgC9zUzg/RXvwpt7drA4BTA8oAsFj2tBCmA21iHM3gaZ1/ZgAva3+ESdmJaq/fcXzsG0Y238RTewG6cwx6cR4s8DbKmna1A+EBvamINYUZltJz2nUxPQxweDrUqkezpgXzhQjA59/g3tavLTcQaGqBu2eKqhPqOY24OzQcPukieePcu05AbKZs0kYDW0hKZrDgJSRSCXi5Mww+cyAojIxDGxqC1tZluPFxWUamlaC8yVnvqlCcZ49dIbWp6YPpdUigwr3uLzh6iGC6V9AGhUi4RsR8yQ1yVXz5Ui6tMjAeHFUGkAbgswmgigfTv/Z6pOyWqCimXYzNCUYTU1wcqSdDa25ld1507EKamlm24zQcPQr58uSL71lpboW3YYP4w+mmZAZhL/36peFaIQ0MQxsZMW70gCJOTzHJwcNA/AIUPwXhASpOTILqOSazCGTyNM9hnNAQ+jgEYGmsHt81gGrtwEU/iAnbjPPbhDNbhjr3SLAjQm1qhZTII8vnQOjttUogg/TWZmoJkWCZqa9ZAvH3bczuaSJQkHTyQx2ef1EOGUdi/HwlrbLuuQ7h/H4X9+12yAz8fcEFRGCkRBNPJROnqAqUUUn//oi3inFWWyATdJ0zDDzYi29EB8d49SPfuQe3sBIzI8dnDhytGFqKQsUjpkVh6gpPs6WHff0dUOtU00CqWdlSqgbCaSM2DIrNxVX55EVsHxlgxRFocHGQPCEkCVNXficNI0qOSBBACqb8f+uTkspJoABBv3y5LMBe876EhQJLMCnIgLTGIV5iKPDWawritXvDGBqGzBth4QIGIN2a24/trfgkXZ/J4C4/jOrZA96C8MorYjit4HG9iD85jr3AWO/R3IDvlGRx8JcKIWNcdNmZOCGNjpvY6SIIBgDmLCAL01lboq1b5E3RVNYmX3tHBVkh84HWdar7xDc9ta77xjWg+xKoKaXAQ1DKRJDyQx3C0WazPOSckUTyc0ydOMPu7YtGUrVDjnPk91K1ElgLA2rUQBgchDg1BefJJk2xViixEmShESY9caoJj7q+mBsSqOTdWfeY+9rHI+/T7nKUmhJVqIKwWUvMgyWxclV9eWCeFyGRi68APIAhdbIhI5UC9KngAayb0jaSuFpTRAi8FtNZW0Pp6u7/wYsAt1QRhQUvDFMAtbMA/4odwxmgIvISdmIc3wd2AW3jCUml+CudRK6nBoSoWaBs2QOzvZ5VernkOOud8Isat4ILuIUM+QyiFuno1JJ+KNABT3gJCIMzMBMpLBh1EO8jt5P6f/3mpiaWmhq1weH1fecVYVU2XGaKqLJVTltm1tDT6QdNsjaXlxqHs2sX2mc9Dz2ZBJiZMIm3quhUFNJWC3txsI0VtW7d6N8JlMhi+ds3z87L79pnn0wSlECYnzXE3HzzoJkzG+MZfe81zv2EJYcszz5SOz5iAEE2DsmULxl5/3bZt27ZtbMJsTYBUVdCaGgw7moAXMuYg8P2Jd++6v6uCAOXRR13jjQpbI5Wlclyt1c1qGe9Cr3VLSwvGFikHDPP9ibG04L8tiYEBFB+AfWGMxWM169tZUCjBiqlIAyg91BaY2LesqDCJBsCSHScny28YFsbSO9F1pjcnpBR57oH7aMRp7McP8DTOYw/exOO4D++46hYyjifoG3jKIM378AO0wCMBUA9vG6ZnMkBnJ7MgC3NPGA19xLBJDNJI02SSESJLyI8nCLFVwfQgeUnE4BCX/V1A/DmxBtjoOjs+43Wlq6s0hAVYxHF/cV5lqT96FHpTE2uk5T7uhIAUCq7qG8nn3cduBD74Iay3cxR5yYIrhGUq+VHSI5dadsD3Z7rbWM4xleVwHvNlsNKqm9VilfcgJSbVUpX/IKEa7AtjPDisLCJtfaAZVcWyWIIl7WpGxSrzgmAjp/NI4g08iR9gP85iL97Ek7iNDZ5vrUUO3biIJ/EG9uIMPozTWCcOgICWrzZHnIBQSkvnoMwqAJUkQJKgGA4SgbHm2SzE999n+wuqzBPibgoM2DYKQtnfGaA8vZNSEEqhZbNAoQBhfBwkn1+UDpX7i3NCoqfTkPv7bX7WoJRNPhx6ar+JWNAELYx+NmpEeJQo9ihhL3pdnbsi7ZMeqTmsHfkYtA3e36Ny4ITJBf6btwSprNWkOQ6LavBDfpBktpoCbGLE+CBgZRFpwNQ+w8P9wfsNDy+JrhR0EFwrbsJpPI0zeBpvYDeuYDtUyK5tRajYiqt4EhewF2fxYfwDHsMViBaPZqa9XvrrIIyOsnhtTp7LyWkMra589WpZjTTlRKTM/UNTKXdToN+2kv3rxmPN/RDK/s6Aun495N5eZgPZ0cFkKUY0u5dtWxQ4l4PJzIz3eba8ZtVTC7mcvdFQELxjyg2Erirqut3iLYA4Sr29EKammJbZEsXuNRGNYtkXJT2SWzuaYygWIY6MIP+JT/iOOwicMFGjAdOEKILoevSmUg/E1c2F4UGS2WqpyseI8UHBiiPSRFUBWWYPIkqXRULxsKMfq3EWe/EDPI1z2Iu38Dhm4Z089wju4ElcwB6cxdM4jadwAbUo01SZSFSk8ZLkcqZlHEQRVJICJR4m6VKUslIQcXSUSVsSCWidnb66Z95jYK2Cta9d622DZ/lM0+nDdwBi6Eo3FUWMvf66TQPMY4YBIGl1BVkCiKOjrALL0wp5Q6vl+EyLup/7OWReftkYaKmCnfOKKbegXFXR9CS3Wr4Jgr8Mp1hkjYs8cTAgXj2KZR9vKKw7eRJCLge9rg6zzz/v2SiaPH2a2XFOTZUq3fX1SJ4+Ha2x1AAnTJljxyC/9x47DwZJp5kMZo4ejbxP1/HF1c0F4UGT2WqoyseI8UHBiiPSAKvsVcoR42HHNDJ4A0/hB3gaZ7EXF/AUBuGtmW3AfTyJN7Eb5/A0TmMvziGLAL2wD8yKmVeM8SJACgWoa9aACAJzy1jCSRWZnwdNJqG1tQXqnr3cUMLIGcqFt1BCXA9jPZmE4CEzUQ0NtPPhGUUXrK9aBcHDZ1w3vJtd4xME5l0MY4LCCalDT+21b33VKijd3Z77De0QUSyyJtNUynIiVE9iDMCczFE+8TJWtGgy6b19scga+Iyqt0sHbcHskSOhiLB49y705mboLZY+AkoXJZPg19za7KQsYbNTVHu/SmMl+SPHZDZGjA8GVhaR5s2GMYkOhSJkXMJOnMUenMF+nMdu9KILFO6GviTmsQvvYDfOYT9OYy/OYiNuLayF1QlHet+SXT/D3lBdswZaZyfTiwbpmSXJRoiCxlHcuzeUrMKTNEsSa2R0NNhZdbRl9c9G5dT6MG7bts3z+Pws96I0ikUh0urGjUyfbFSBKSEgogiaTLr01M0HD0JvbYW2bp35fpLPe44hUkNgIsEs36wrC4T4EmO1qwvi7duuarC2fr1r28yxYxDyeXavGL85Qj6PzLFjiyJGyyKTWGIpWxR7v0oj9keOESNGNSK8RUI1INY7+4ICuIFN+Cv8c/waXsFenEU9prEbF/CrOIG/wCfxHraCQgCBjkdxFZ/En+FVHMYbeALTyOAs9uJr+Cw+jr/GprAkOkxDE/cQVpQlTVvTOzoAAOLwMPR0mmmDA8YTxepx9vBhkGKRuUtEvO+UzZv5B9oq8ObrYKSKzM35nj9SLKL54EGbjtrLRi7odfHuXZckxK9RzJRrCIIpk4AkeUolZo4ehd7YyJw6jAmD3tSEiT/8Q4ycOYPx114ziY3fGKTeXjQfPIjsvn3mcXpF7fJ4eSe01tbSuePXhxBoLd6uMbOHDwOSBK2jA8rWrdA6OgBJ8pQoSLdulaz9+GRBFBftguG8p5bKb5YTTGFkBLSpySSY5TT4YVB38iSbAPPeFEkCFQTUnTy56H1HRZT7I0aMGDGWCyuLSMcwMYJWfAc/jn+H/4AfwXfRjPvowg38Av4KX8Ov4Tz2oAC27N2Bfvwkvo1j+AL+B/4nTKABV7Edf4pP4TD+AE/gLchYgKWgLLsa6LxA02mTjPAo96WAnslAW7PGDJHRs1n/pXoYEgTeXFZGBsJlFXo2y1IcI0DZvr3s65xUBVqrOQgRFby/rhRwkVLAQtYtCKqAOicafhOPwoEDmPzKV6A88QQjpk884RtX7zUGYWwMZGYGwsiIrbIo9fYCigLp5k3IV69CunmTOW0EJCZyv2CaSARO6pzXU89mgyuZzmNfgkl85DGERCUJppDLsSZKK3zs/SqNKBPDGDFixFgurCxpxwcUOdTiTTyBc9iDs9iLc9iD97Hec9sMpg3bubPYg3PYg3PoxMCSj4nW1gL5fKiqtTg0ZHNZWRK5CMA8hOfnWUSyQdaEoARHw80AihJYueawyiqCAkucSH3ve76v83xNTqqaPvlJ3/3Q2lqQXA4NL74IWl8fqL12ktKpL385UqOY1toK6d49y4dTEACqUfV3Iqz+02sMwv370JubXZITMjoKaXIylKVdFIu6qGN2Sld4IuNSuGBUApW0qIti71dJJHt6QKamIA8Ost6F1lbQVatiB5EYMWI8cMREusqgQcAVbDcJ81nsxRU8Bs3jUklQsBOXsA9nsMcgzo/iPQhLVvP1RuHDHwYAJP/xH8O9IUITIE2lQsWZA0ajn6aBiCLI1FRgoiDAvIeFqanw1okhkezpsRE0L60xf739kUdM9xDd2ijnATI9bdr7KevWQbQSXduGxFMHPf7aa6GdA2jG26XF7/Ww8HIvECYnoTc32z+npsbupFLGejCKRZ0T5RrWZo4eRcOv/zrIzAxLbJQk6I2Ni3bBqJTG1+ZPrSiQZHlR/tRWRLH3qxTM85ZOA3NzQLEIqb8fWqEAyHLsIBIjRowHiphIP0BQAHex1qgb78FZ7MObeAI5pD2334QbBrVmpPlDeBspLJ3mOCzEO3cYWaxADLre2AhxeJg5s+h6cIALt7OjFJRSXwLLIUxNBf57EGgy6avvjkKGrL7HgdVzGBZ8AHOmIIQRGX4+rPpgp+RDUSBfuIDsvn2hnQ38SLoveY8AZyXYMz55bg4QBFZVDlFlXogtW7Knh1nF9fayfWeznmS2cOAAcp/6FOpOnmREOpFA7lOf8j2HTmJe2L/f07u7UimBVn9qhPSnDut+MXvkCMS+PubaoSigooj8c88ta6Ohed4aGoBkkjUVz8+D5HKYfPXVuNEwRowYDxQxkV5GTKAB57HbJM7nsAcjaPfctgUj2INz2Iuz2I3z2I3zaPaK1H4AkO7dY1pnUWRygyVsAtU2bEBh/36kvvc95hMdBsbSe9nUxEWAEuJbxeZ61KV+oJNCgTXQZbPsc0SxVLW1JNdZtdNkehpSfz+rokaoetqivHk1uEyU90LhR4LVjRtBFCVUlblw4ADyhw7Z/Jtzzz8fSHbNhjxRBHQd0uAg1NWrXdcv2dOD2lOnoGez0Izx1Z46BaW7u6zTiHj7NjJnz0LLZqG3tNjOf9RY87Cw+lNDUYAy/tRRKuPJnh4kz5+HtmGDea2S58+7VmEqCat0Rc9koGcyzEllcjIm0TFixHjgiIl0hVBAAm/jQziHPThvkOZePOq5bQ3yeAIXTOK8B+ewDneWVH6w1NATCQgVsCGcPXwYDS+8wJqZylW7BWFJfamtcFZzg9xGKtXwpNfWgqbTjDgA9mY6/mfj/zwGXBweZu/t6HDFdQcSaes5tPzZT5e9GD9fv7AKAKGrzFHILj9+mkgwL2RD70t1HeLoKNSNG23XL0rl2LktT08Upqeht7ba3hs11jwsrP7UkiRBVdVAf+rFHN9SVdGjIE5XjBEjRjUjJtJLAB0E17HF1DWfxx68jQ9BgTtwQ4CG7XjX1gz4GN6FBM1jzw8QkhRY4aUtLUAFyGPTL/5ieGJcIRINwFWp8yOUAHOhWAo9qhXqmjWY/u3fRv1LL5kk2RYDzSvSoghaUwM9m2XESdehrVlTIt8IR/T1dJpJY5zOHYS4JhVLofX1a/wLq+mOSvB4VZMmEuy+NqztSLHoImVRmvec25Jika0cWK6VNS69tGH5+PmwiEo0F3N8QdtWCnG6YowYMaoZMZFeAIbQZjYCnscenMduTME7XGMdbmMPzmE3zmE3zuNJXEAay28dFQqiyCQMqhpKJqEbGtMlRRRyUUlfcUc1Nwjl9KhBoIQwks6JFfctzmRclVsz+MSaiGhcp/HXXgNQ0h/bDiVE9U7ZudOzedRLIhKVxEapXod11ohK8DjZ1LNZiP39LOHQOD4nKYtCTJ3b0kSCpS5arhF/r3j3bmSnkTCwEk1kMmX9qRdzfEHbVgoPOm47RowYMYIQ+0iXwSzq8Pf4Yfwn/CYO4jWswx2sxhCew3/Fb+MlvI6PmSS6ARP4EXwXR/Fb+Bv8MwygHX3YgG/i5/B5vIx/iu9XL4kGmNY4pM5YW7u2FFpRLQgTDhNld9PTEAcHkTh7NnA7ra0NydOnQ+2TWjx59ZoaIJFg/te1tcyXu7aWkReDXBUOHMD4a69h5MwZ0MZGplueny/9p2mAxTt7oaEf8ptver4uGDptqzexl5+vtcHR6mVt1SZbCfliw0KiemTz80JFEdrq1awarapQ1693VdKjnEPntnp9PYius0RIx3u1tWtBJQnqpk1Qtm2DumkTqCQtmpRa/anJxERZf+rFHN9ShchEhfV7YA38iREjRowHDRIl7W2ZQcN4/S4lFEi4jB1mI+B57MEVbIcO0bVtAgU8jrfM1sG9OIvNuFHVuualxMznP4/M8ePsL9oDlqWEXSYXxZIchJBgDbbRkEYJAVKpwKY7ZedOCJOTGDlzBkCw5/SgI87b08Ein4eezZpVZo6WZ56B3NvLxm2pXitdXRh7/XVzu4Xol80x82ZDy7lRdu1ifzAavJxVSjI9DenePUYSt2wxl955FTHs8UWBVV5iXe4PIpBRzstitvVz7VjImKOipaUFY2NjZber1LmIsTiEvX4xqhPx9Vu5WM2a2hdE4T6wRJoC6MMGG2l+E09gDrWe22/FVdOkbg/OYRfeQQJKxcZX7aDJJPOUraBTRmhYq+I+5Ni0ryPEbDYjSsD1s5Bzva2NySW8viuEQN20yUYMwxJpLzs2yLIvuWp55hmzWc0MCtE0KFu22Ii0FWFJUMeaNSVy7kOkOQHmUgJOCKUbN0AUBdrataY2m29rSjCs32WDkPOJx0KxEglepcccP8hXNuLrt7IRX7+Vi8UQ6Q+MRnoMzRbrOdYUOI4Wz23bMWjYzrFK81N4A/UI9ij+oMHqYkFlOZiUVhpWvasPkSaFAtN0j46CKAr0mprgMXN/ZkEAKaNhXchSt61hr7kZwtgYpDt3zNS2+qNHXURLmJ2F3tQEwQhpgSAwizWf8UVpCtTWrCnpiy0TBipJbEnf0uDl1KwGNThWUmMbVk9dTViJY44RI0aMGP54KIn0HFJ4C4+bleaz2Itb2OS5bR1mDZ/mkvVcJ/o/MBKNpUDFSHS5wBdH9ZSUkZho7e3Q2tvNamkiQNdMue7YcHagkuR5nFSWF7Q0zxv2oKoQJifZZETTQAoFSENDUDs7XcRXT6dZRLIsmxVz4f59X/u0KE2BU8eOoeFXf7Xk3EEIaE0N1HXrTDmHldRbCWFQg2PsuBAjRowYMR5mrHgirUHANWy1uWhcwk6okF3bilCxC+/YdM1bcQ0iljadL0YAQqYhUlkGRDEwLlxbvx6UUkjvvx8thjyEfRfRNJaYKAiM8HpNFgxZx0IqjFzyIN26xXTYgmB+BhVFiGNjZjCJpxtGCF14kLOFl8Rg8mtfQ/rECSQGBlBcvTq07MBJloWxMQj370OYnET6xAnkDx3y1AzHiBEjRowYKx0rikhTAP3otJHmN/AUZpHx3H4jbprWc3twDo/jLdRi6UNEYgRDz2YhjI9D3bABUBRId+6UfQ9RFNAyFWZKKaSBgcgx5VY7Mt9988ZEozJLCgV7AIzh4SyOjkb6bA4ueeBOEgBMuQavggN20h9V2uEnq9DTaV/Jx/hrr6GlpQXjEXR+VqmH1NsLMjPDAkKamyGMjKD21KklbaiLESNGjBgxqgVVTaSnsApv4Ckz6OQc9mAI7rhgAGjGGHYbQg4edNKC8WUecQwv6KtWQWtuBgDIfX2h3+end+YQh4eZtzKvzsoyYA0tsYAmEi6tb1OAtINoGqgoYuLrX0fhwAG0bdsGzM6yzwIYwdZ1z88zGxs9XucwG/Ykye7CYRB47kNs1RNHlXb4ySqoLHtKPjLHjiF94gTk/n40d3ZGTissHDjgciF5EEl4MWLEiBEjxnJh2Yj0oUOHfgzAKwBEAF8/derUfyz3nkZMeb6ewhwex5smYd6Ls9iAvljXXKUgxSKmv/QlpE+cgLphA6QbN0K9T29qgnD/vv9+5+dLTYGEMImEtfFRFBlpTCahrV7tqfX1g7p+PfRstrQdpXZiTykI2CqJEzST8STSRFHQfPCgrWHPdO2QZeitrRDu3wfRNKiGlttXTxxC2uEXZFF/9KhL8gFFgdzXB3XDBtCmpgWlFQLVkYQXI0aMGDFiLBeWhUgfOnRIBPAqgI8BuAfg/KFDh/7rqVOnrpR7L4GObbhqqzTvxCXIqALbtRihwMmYJ4FzgCaTIJRC6+xksdUBRJomk6yaS4jZaEh0nVVzJQmkUABNJJD7V/8Ks0eOuHcQQEZdBNZSLbbZxBmwao5JPl/6N6sDhiy7CCr3F+bv5dVlYXYWmmE1Z3XtCJOMV85izUvyIY6MsElHba0r1TEKkV6sS8dKtLSLESNGjBgfXCxXRXoPgBunTp26BQCHDh36BoCfAhBIpHvwETyJC8hgcRG6MR4sOBHiJCsQkgQtm4VuRB0HQe/oYHHPgOmtrDc2AoRAr6835Qy1p05B6e6O1LDnqsQmEsDcHKhhiQddZxXqZNJtMzc8zOQZ3I6PV7J9CGpYSzR+/ngTImD4Na8uyZ3CWN75ST6cZHchleTFuHREseuLESNGjBgxqgHLle/cCcD6RL5nvBaIj+DvYxK9AkBlt0OKF3jccBC0jg7o6bQpawiCnslA6+xk1WdNY37Gra2MRFsqqzza2jXuVMr7eGprXcRN7eqC1trKPktVGeFvbYW6ZYvdZo4QEErZdpxEEwIkEmbVfKFShzBxzc6xeB2/NVJamJyEns1C6eoyg2o4FuL37LXvsEQ4zNhjxIgRI0aMasJyVaS95MuuUuChQ4eeB/A8AJw6darSY4rhhBGLDe4iESa1kBCQxkYgoNLc0mIE3xw6BFpfD/zsz7rt5AgB6ushdnaC3LkDum4dtN/4DeCnfsq3aixJEtDYCDQ2guZyQHs75Nu3QZua7El6mQykgYHSOPhHptNAoWB3/RAEkHTave0XvgDxc58DXbOGEb18HmKxCPqFL0D67Gftn5lMsiZEQWCVbH6siQQbcy4HbNzo+oyyMM6f+PLLtnOU+dEfNX1r5P7+cMd/6BBw6BB0sC8n+e53IX3uc6CFAogkQSoUmFb7C19Y0Dit+84Y/5VD6LHH8IUkSfG5WsGIr9/KRnz9PphYLiJ9D4C1tLUGwIBzo1OnTp0EcNL4a9Vml680UFlmFdFCwZ8cEwLlsccgzMxAGBwEKIW6ZQukW7dcjXM0lWKuFokE9Pp6aOvXI8Et2ZwQBHtk6pNPonn3boi3b0OYmjK1vnw/43/1V7a3t2UyTANs3bdBtLTpaZt8YOqXfxnpEyfc6lMxOwAACmNJREFUGl1D/uC0dGvevBmiJHmPw2n/9uST/3979x5jR10FcPy73b6AIpC2hEILRW0iaEJNFaUaQxQQCIaHegKiEV/VBjQaNSHGCEHxlSDyUlIrFggCp4iISKIhkaDGKkJERUBR1GKrlfKoLIjt7vWPmS23t7vdu7PL3pn6/SSTdu/87szv9uRsz/3Nb37DrAsu2Hn+7rJlzC0fnjJ8zmnz59O/fj2tGTMYnDuX6eVjwQcXLKC1Zcv2vj5X5VGyy5ZBx78Rbcfp7MuuPv9on2/mhg1sHV5HetmyHY7/Qqrcd23nI4qbzfg1m/FrrgMPHHlFuG5M1dSOu4ElEXFoRMwETgdunaJz119f9+uNtH+7aO2556jTE9qPPTRvHoPD35JHOdfQfvsV83r7+xnaf3+eWL2ax+64gydWr+a/y5czuGgRWw87jKH58xlcuJCtL3sZgwsWwPTpPL1yJc+ceuqIxx3p9adXriymRixYsNNxOg2sWFFc5p8xg9bs2cWXgmnTeOa000acPtDN9Icq/YBi2sLmtWvZtG4dm9eu3WHOcfs5W/39DO23H9sWL6ZvaIitS5YUNxEODo5rqkMV4/n8o32+rQ89tMPnmyoT6bskSb3Q1xpjCa3JEhEnAl+lWP7uqsy8cIy3tFrjKDDrrMXIc1sAhsp5tq2+PmauW7d9/eJnTzmFWXfeSf/m59fCHpw7l02/+c2IKxvsdeWVzPrZz54/58yZbH3Vq3hu+fLtT5UbmjMHoBghHRigb2iIob335j/HHsv0jRu7WilhV6sq7PORj7DHLbfs8BmeuvTScR+n05yLL2avVauYNjDA0F57MbBixcircFQ49mStElGn1SYm2pdejqrU6d+xiRwRazbj12zGr7nKEelKReeUFdIVtDZs2Gn2hxrAXybNZvyay9g1m/FrNuPXXBMppKdqaockSZK0W7GQliRJkiqwkJYkSZIqsJCWJEmSKrCQliRJkiqwkJYkSZIqsJCWJEmSKrCQliRJkiqwkJYkSZIqsJCWJEmSKrCQliRJkiqwkJYkSZIqsJCWJEmSKrCQliRJkiqwkJYkSZIq6Gu1Wr3uw2hq2zFJkiTtVvqqvKm2I9IRcQ/Fh3Jr2Gbsmr0Zv+Zuxq7Zm/Fr9mb8mruVsauktoW0JEmSVGcW0pIkSVIFdS6kV/W6A6rM2DWb8WsuY9dsxq/ZjF9zVY5dnW82lCRJkmqrziPSkiRJUm1N7+XJI+J44BKgH1idmV/s2N9X7j8ReAY4KzPvnfKOakRdxO9o4HvAI+VLN2fmBVPaSY0oIq4CTgI2ZeYrRthv7tVYF/E7GnOvliJiEXANcAAwBKzKzEs62ph/NdRl7I7G3KuliJgN3AXMoqh/b8rM8zrajDv3ejYiHRH9wBXACcDhwBkRcXhHsxOAJeW2Avj6lHZSo+oyfgA/ycyl5eYvk/pYAxy/i/3mXr2tYdfxA3OvrrYBH8/Mw4DXAmf7f19jdBM7MPfq6jngjZl5BLAUOD4iXtvRZty518upHUcCD2fmnzPzv8ANwMkdbU4GrsnMVmauA/aNiAVT3VGNqJv4qaYy8y7g8V00MfdqrIv4qaYyc+PwCFdm/ht4ADioo5n5V0Ndxk41VebT0+WPM8qt80bBcedeL6d2HASsb/v5UeA1XbQ5CNj4wnZNXegmfgBHRcR9wAbgE5l5/1R0ThNm7jWfuVdzEbEYeCXwi45d5l/N7SJ2YO7VVnk1/R7gpcAVmTnh3OvliHTfCK91fjPopo16o5vY3AscUl5GuQy45QXvlSaLudds5l7NRcQc4DvARzNzS8du86/GxoiduVdjmTmYmUuBhcCREdF5j8m4c6+XhfSjwKK2nxdSfHsbbxv1xpixycwtw5dRMvN2YEZEzJu6LmoCzL0GM/fqLSJmUBRi12XmzSM0Mf9qaqzYmXvNkJlPAney870m4869Xk7tuBtYEhGHAn8HTgfe0dHmVuCciLiBYtrAU5nppa16GDN+EXEA8M/MbEXEkRRf3DZPeU9VhbnXYOZefZWrAnwTeCAzvzJKM/OvhrqJnblXXxExH9iamU9GxB7AMcCXOpqNO/d6Vkhn5raIOAf4IcXyaVdl5v0R8aFy/5XA7RRLkDxMsQzJe3rVX+2oy/i9DVgZEduAZ4HTM9PLkzUQEdcDRwPzIuJR4DyKGy/MvQboIn7mXn29DngX8NuI+HX52qeAg8H8q7luYmfu1dcC4OpynvQ0IDPztonWnT7ZUJIkSarAJxtKkiRJFVhIS5IkSRVYSEuSJEkVWEhLkiRJFfRy+TtJkiSpkoi4CjgJ2JSZnQ9X6Wx7MHA1sC/FamPnlmt9T4gj0pLUIxHxl4g4ZhKOc1ZE/HQy+iRJDbKGnR+qMppPUyx590qKZ198bTI64Ii0JGm7iGgBSzLz4V73RZJ2JTPviojF7a9FxEuAK4D5FGtBfyAzH6R41PeLymb7MElPC3VEWpIkSbuLVcCHM3MZ8AmeH3k+H3hn+RCr24EPT8bJHJGWpN56dURcSvHUrVuAlRSXHd+fma8fbtQ+UhwRc4FvUTzd8EGKJ4zS1vY44DLgAOA64OXAtZm5utz/XuCT5f5fAisy868RcVd5iPvK870vM298YT62JE2uiJgDLAfWRsTwy7PKP88A1mTmRRFxFHBtRLwiM4cmck4LaUnqrTOBNwMDwPcp5vGNNa3iCuA/FMX3oRSF9CMAETEPuAk4C7gVOBv4AHBtuf8UiscavwX4I3AucD2wPDPfUBbQRzi1Q1IDTQOezMylI+x7H+V86sz8eUTMBuYBmyZ6QklS71yemesz83HgQopRk1FFRD/wVuAzmTmQmb+juBN92InA/Zl5c2ZuAy4F/tG2/4PAFzLzgXL/54GlEXHIJH4mSZpymbkFeCQi3g4QEX0RcUS5+2/Am8rXDwNmA/+a6DkdkZak3lrf9ve/AgeO0X4+xe/uzvcNO7B9X2a2yjmBww4BLomIi9pe6wMO6jiOJNVaRFxPMcVtXvl77jyKq3xfj4hPAzOAG4D7gI8D34iIj1HceHhWZrYm2gcLaUnqrUVtfz+Y4k7yAWDP4Rcj4oC2Nv8CtpXve7DtfcM2Agvb3tvX/jNFkX1hZl43GZ2XpF7JzNGu4O20JF5m/h543WT3wUJaknrr7Ii4jWKZpk8BN1KMnrw8IpZSFMvnDzfOzMGIuBk4v7xpcDHwbuAvZZMfAJeXc6FvAz5EcVPhsCuBz0bErzPz/ojYBzguM9eW+/8JvJix52lL0v8950hLUm99G/gR8Ody+1xm/gG4ALiD4obAzoetnAPMoZj7vIZiBQ8AMvMx4O3Al4HNwOHAr4Dnyv3fBb4E3BARW4DfASe0Hft84OqIeDLabnuXJO2sr9Wa8PQQSVJNRcQ04FHgzMz8ca/7I0m7E6d2SNJuJiLeDPwCeJZiveg+YF1POyVJuyGndkjS7uco4E/AYxTrRZ+Smc/2tkuStPtxaockSZJUgSPSkiRJUgUW0pIkSVIFFtKSJElSBRbSkiRJUgUW0pIkSVIFFtKSJElSBf8D3K84UijpR0AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#regressionplot\n",
    "\n",
    "sns.regplot(x='budget',y='gross', data=df, scatter_kws={\"color\":\"red\"},line_kws={\"color\":\"Blue\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Correaltion (pearson, kendall, spearman)\n",
    "corr_matrix=df.corr() #only works on numerical columns (Pearson Correlation)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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>budget</th>\n",
       "      <th>gross</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>votes</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>budget</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.523459</td>\n",
       "      <td>0.164816</td>\n",
       "      <td>-0.019526</td>\n",
       "      <td>0.451137</td>\n",
       "      <td>0.214114</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gross</th>\n",
       "      <td>0.523459</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.139270</td>\n",
       "      <td>0.033163</td>\n",
       "      <td>0.479772</td>\n",
       "      <td>0.098585</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>runtime</th>\n",
       "      <td>0.164816</td>\n",
       "      <td>0.139270</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.282068</td>\n",
       "      <td>0.195640</td>\n",
       "      <td>0.073785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>score</th>\n",
       "      <td>-0.019526</td>\n",
       "      <td>0.033163</td>\n",
       "      <td>0.282068</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.272967</td>\n",
       "      <td>0.070451</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>votes</th>\n",
       "      <td>0.451137</td>\n",
       "      <td>0.479772</td>\n",
       "      <td>0.195640</td>\n",
       "      <td>0.272967</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.339625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <td>0.214114</td>\n",
       "      <td>0.098585</td>\n",
       "      <td>0.073785</td>\n",
       "      <td>0.070451</td>\n",
       "      <td>0.339625</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           budget     gross   runtime     score     votes      year\n",
       "budget   1.000000  0.523459  0.164816 -0.019526  0.451137  0.214114\n",
       "gross    0.523459  1.000000  0.139270  0.033163  0.479772  0.098585\n",
       "runtime  0.164816  0.139270  1.000000  0.282068  0.195640  0.073785\n",
       "score   -0.019526  0.033163  0.282068  1.000000  0.272967  0.070451\n",
       "votes    0.451137  0.479772  0.195640  0.272967  1.000000  0.339625\n",
       "year     0.214114  0.098585  0.073785  0.070451  0.339625  1.000000"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr(method=\"kendall\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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>budget</th>\n",
       "      <th>gross</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>votes</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>budget</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.698639</td>\n",
       "      <td>0.231672</td>\n",
       "      <td>-0.027868</td>\n",
       "      <td>0.616419</td>\n",
       "      <td>0.300553</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gross</th>\n",
       "      <td>0.698639</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.202905</td>\n",
       "      <td>0.045582</td>\n",
       "      <td>0.667869</td>\n",
       "      <td>0.139467</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>runtime</th>\n",
       "      <td>0.231672</td>\n",
       "      <td>0.202905</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.398840</td>\n",
       "      <td>0.287150</td>\n",
       "      <td>0.107902</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>score</th>\n",
       "      <td>-0.027868</td>\n",
       "      <td>0.045582</td>\n",
       "      <td>0.398840</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.392199</td>\n",
       "      <td>0.103598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>votes</th>\n",
       "      <td>0.616419</td>\n",
       "      <td>0.667869</td>\n",
       "      <td>0.287150</td>\n",
       "      <td>0.392199</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.485588</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <td>0.300553</td>\n",
       "      <td>0.139467</td>\n",
       "      <td>0.107902</td>\n",
       "      <td>0.103598</td>\n",
       "      <td>0.485588</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           budget     gross   runtime     score     votes      year\n",
       "budget   1.000000  0.698639  0.231672 -0.027868  0.616419  0.300553\n",
       "gross    0.698639  1.000000  0.202905  0.045582  0.667869  0.139467\n",
       "runtime  0.231672  0.202905  1.000000  0.398840  0.287150  0.107902\n",
       "score   -0.027868  0.045582  0.398840  1.000000  0.392199  0.103598\n",
       "votes    0.616419  0.667869  0.287150  0.392199  1.000000  0.485588\n",
       "year     0.300553  0.139467  0.107902  0.103598  0.485588  1.000000"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr(method='spearman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#heatmap of correlation\n",
    "sns.heatmap(corr_matrix,annot=True)\n",
    "plt.title('Correlation between Numeric Features')\n",
    "plt.show()"
   ]
  },
  {
   "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>budget</th>\n",
       "      <th>company</th>\n",
       "      <th>country</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>gross</th>\n",
       "      <th>name</th>\n",
       "      <th>rating</th>\n",
       "      <th>released</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>star</th>\n",
       "      <th>votes</th>\n",
       "      <th>writer</th>\n",
       "      <th>year</th>\n",
       "      <th>CorrectYear</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6380</th>\n",
       "      <td>245000000</td>\n",
       "      <td>1428</td>\n",
       "      <td>54</td>\n",
       "      <td>1037</td>\n",
       "      <td>0</td>\n",
       "      <td>936662225</td>\n",
       "      <td>Star Wars: The Force Awakens</td>\n",
       "      <td>7</td>\n",
       "      <td>2015-12-18</td>\n",
       "      <td>136</td>\n",
       "      <td>8.1</td>\n",
       "      <td>475</td>\n",
       "      <td>687192</td>\n",
       "      <td>2356</td>\n",
       "      <td>2015</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5061</th>\n",
       "      <td>237000000</td>\n",
       "      <td>2062</td>\n",
       "      <td>53</td>\n",
       "      <td>1066</td>\n",
       "      <td>0</td>\n",
       "      <td>760507625</td>\n",
       "      <td>Avatar</td>\n",
       "      <td>7</td>\n",
       "      <td>2009-12-18</td>\n",
       "      <td>162</td>\n",
       "      <td>7.8</td>\n",
       "      <td>2084</td>\n",
       "      <td>954412</td>\n",
       "      <td>1629</td>\n",
       "      <td>2009</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2420</th>\n",
       "      <td>200000000</td>\n",
       "      <td>2062</td>\n",
       "      <td>54</td>\n",
       "      <td>1066</td>\n",
       "      <td>6</td>\n",
       "      <td>658672302</td>\n",
       "      <td>Titanic</td>\n",
       "      <td>7</td>\n",
       "      <td>1997-12-19</td>\n",
       "      <td>194</td>\n",
       "      <td>7.8</td>\n",
       "      <td>1444</td>\n",
       "      <td>862554</td>\n",
       "      <td>1629</td>\n",
       "      <td>1997</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6391</th>\n",
       "      <td>150000000</td>\n",
       "      <td>2085</td>\n",
       "      <td>54</td>\n",
       "      <td>466</td>\n",
       "      <td>0</td>\n",
       "      <td>652270625</td>\n",
       "      <td>Jurassic World</td>\n",
       "      <td>7</td>\n",
       "      <td>2015-06-12</td>\n",
       "      <td>124</td>\n",
       "      <td>7.0</td>\n",
       "      <td>404</td>\n",
       "      <td>469200</td>\n",
       "      <td>3310</td>\n",
       "      <td>2015</td>\n",
       "      <td>2015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5723</th>\n",
       "      <td>220000000</td>\n",
       "      <td>1491</td>\n",
       "      <td>54</td>\n",
       "      <td>1412</td>\n",
       "      <td>0</td>\n",
       "      <td>623357910</td>\n",
       "      <td>The Avengers</td>\n",
       "      <td>7</td>\n",
       "      <td>2012-05-04</td>\n",
       "      <td>143</td>\n",
       "      <td>8.1</td>\n",
       "      <td>2001</td>\n",
       "      <td>1064633</td>\n",
       "      <td>2145</td>\n",
       "      <td>2012</td>\n",
       "      <td>2012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5917</th>\n",
       "      <td>0</td>\n",
       "      <td>2171</td>\n",
       "      <td>35</td>\n",
       "      <td>2071</td>\n",
       "      <td>0</td>\n",
       "      <td>547</td>\n",
       "      <td>Into the White</td>\n",
       "      <td>8</td>\n",
       "      <td>2013-04-12</td>\n",
       "      <td>104</td>\n",
       "      <td>7.2</td>\n",
       "      <td>748</td>\n",
       "      <td>16609</td>\n",
       "      <td>2981</td>\n",
       "      <td>2012</td>\n",
       "      <td>2013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5699</th>\n",
       "      <td>0</td>\n",
       "      <td>1262</td>\n",
       "      <td>53</td>\n",
       "      <td>2385</td>\n",
       "      <td>4</td>\n",
       "      <td>542</td>\n",
       "      <td>The Decoy Bride</td>\n",
       "      <td>6</td>\n",
       "      <td>2012-03-09</td>\n",
       "      <td>89</td>\n",
       "      <td>6.2</td>\n",
       "      <td>1335</td>\n",
       "      <td>9018</td>\n",
       "      <td>2903</td>\n",
       "      <td>2011</td>\n",
       "      <td>2012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6066</th>\n",
       "      <td>0</td>\n",
       "      <td>631</td>\n",
       "      <td>54</td>\n",
       "      <td>2484</td>\n",
       "      <td>5</td>\n",
       "      <td>441</td>\n",
       "      <td>I Spit on Your Grave 2</td>\n",
       "      <td>8</td>\n",
       "      <td>2014-01-19</td>\n",
       "      <td>106</td>\n",
       "      <td>5.7</td>\n",
       "      <td>1047</td>\n",
       "      <td>21070</td>\n",
       "      <td>2901</td>\n",
       "      <td>2013</td>\n",
       "      <td>2014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2594</th>\n",
       "      <td>15000000</td>\n",
       "      <td>764</td>\n",
       "      <td>54</td>\n",
       "      <td>883</td>\n",
       "      <td>4</td>\n",
       "      <td>309</td>\n",
       "      <td>Trojan War</td>\n",
       "      <td>7</td>\n",
       "      <td>1997-10-01</td>\n",
       "      <td>84</td>\n",
       "      <td>5.7</td>\n",
       "      <td>2459</td>\n",
       "      <td>5034</td>\n",
       "      <td>217</td>\n",
       "      <td>1997</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6784</th>\n",
       "      <td>0</td>\n",
       "      <td>1460</td>\n",
       "      <td>48</td>\n",
       "      <td>349</td>\n",
       "      <td>9</td>\n",
       "      <td>70</td>\n",
       "      <td>Pet</td>\n",
       "      <td>8</td>\n",
       "      <td>2016-12-02</td>\n",
       "      <td>94</td>\n",
       "      <td>5.7</td>\n",
       "      <td>598</td>\n",
       "      <td>10504</td>\n",
       "      <td>1817</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6820 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         budget  company  country  director  genre      gross  \\\n",
       "6380  245000000     1428       54      1037      0  936662225   \n",
       "5061  237000000     2062       53      1066      0  760507625   \n",
       "2420  200000000     2062       54      1066      6  658672302   \n",
       "6391  150000000     2085       54       466      0  652270625   \n",
       "5723  220000000     1491       54      1412      0  623357910   \n",
       "...         ...      ...      ...       ...    ...        ...   \n",
       "5917          0     2171       35      2071      0        547   \n",
       "5699          0     1262       53      2385      4        542   \n",
       "6066          0      631       54      2484      5        441   \n",
       "2594   15000000      764       54       883      4        309   \n",
       "6784          0     1460       48       349      9         70   \n",
       "\n",
       "                              name  rating    released  runtime  score  star  \\\n",
       "6380  Star Wars: The Force Awakens       7  2015-12-18      136    8.1   475   \n",
       "5061                        Avatar       7  2009-12-18      162    7.8  2084   \n",
       "2420                       Titanic       7  1997-12-19      194    7.8  1444   \n",
       "6391                Jurassic World       7  2015-06-12      124    7.0   404   \n",
       "5723                  The Avengers       7  2012-05-04      143    8.1  2001   \n",
       "...                            ...     ...         ...      ...    ...   ...   \n",
       "5917                Into the White       8  2013-04-12      104    7.2   748   \n",
       "5699               The Decoy Bride       6  2012-03-09       89    6.2  1335   \n",
       "6066        I Spit on Your Grave 2       8  2014-01-19      106    5.7  1047   \n",
       "2594                    Trojan War       7  1997-10-01       84    5.7  2459   \n",
       "6784                           Pet       8  2016-12-02       94    5.7   598   \n",
       "\n",
       "        votes  writer  year CorrectYear  \n",
       "6380   687192    2356  2015        2015  \n",
       "5061   954412    1629  2009        2009  \n",
       "2420   862554    1629  1997        1997  \n",
       "6391   469200    3310  2015        2015  \n",
       "5723  1064633    2145  2012        2012  \n",
       "...       ...     ...   ...         ...  \n",
       "5917    16609    2981  2012        2013  \n",
       "5699     9018    2903  2011        2012  \n",
       "6066    21070    2901  2013        2014  \n",
       "2594     5034     217  1997        1997  \n",
       "6784    10504    1817  2016        2016  \n",
       "\n",
       "[6820 rows x 16 columns]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#looking at production company-since company col is not numeric so we will encode it\n",
    "df_numerized = df\n",
    "cat_cols = ['company','country','director','genre','star','writer','rating']\n",
    "\n",
    "for col in cat_cols:\n",
    "    \n",
    "    if (df_numerized[col].dtype =='object'):\n",
    "        df_numerized[col]=df_numerized[col].astype('category')\n",
    "        df_numerized[col]=df_numerized[col].cat.codes\n",
    "        \n",
    "df_numerized"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "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": [
    "#heatmap of correlation\n",
    "\n",
    "corr_matrix_all=df_numerized.corr() \n",
    "\n",
    "sns.heatmap(corr_matrix_all,annot=True)\n",
    "plt.title('Correlation between Numeric Features')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget  budget      1.000000\n",
       "        company     0.187205\n",
       "        country     0.137635\n",
       "        director    0.011602\n",
       "        genre      -0.346794\n",
       "                      ...   \n",
       "year    score       0.105276\n",
       "        star       -0.026680\n",
       "        votes       0.229304\n",
       "        writer     -0.005665\n",
       "        year        1.000000\n",
       "Length: 169, dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#unstacked pairs of correlated features\n",
    "corr_mat = df_numerized.corr()\n",
    "\n",
    "corr_pairs =corr_mat.unstack()\n",
    "corr_pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget    genre      -0.346794\n",
       "genre     budget     -0.346794\n",
       "gross     genre      -0.242676\n",
       "genre     gross      -0.242676\n",
       "score     country    -0.174414\n",
       "                        ...   \n",
       "director  director    1.000000\n",
       "country   country     1.000000\n",
       "company   company     1.000000\n",
       "writer    writer      1.000000\n",
       "year      year        1.000000\n",
       "Length: 169, dtype: float64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sorted_pairs = corr_pairs.sort_values()\n",
    "\n",
    "sorted_pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "votes   budget    0.503924\n",
       "budget  votes     0.503924\n",
       "votes   gross     0.662457\n",
       "gross   votes     0.662457\n",
       "        budget    0.712196\n",
       "budget  gross     0.712196\n",
       "dtype: float64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "high_corr = sorted_pairs[((sorted_pairs)>0.5) & ((sorted_pairs)<1)]\n",
    "high_corr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#votes and budget have the highest correlation with the gross"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}