{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "toc": true
   },
   "source": [
    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Tennis-&amp;-Data-Science\" data-toc-modified-id=\"Tennis-&amp;-Data-Science-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Tennis &amp; Data Science</a></span></li><li><span><a href=\"#Importing-necessary-libraries\" data-toc-modified-id=\"Importing-necessary-libraries-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Importing necessary libraries</a></span></li><li><span><a href=\"#Loading-data\" data-toc-modified-id=\"Loading-data-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>Loading data</a></span></li><li><span><a href=\"#Dataset-preview\" data-toc-modified-id=\"Dataset-preview-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>Dataset preview</a></span></li><li><span><a href=\"#Check-for-NaNs\" data-toc-modified-id=\"Check-for-NaNs-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>Check for NaNs</a></span></li><li><span><a href=\"#Match-result\" data-toc-modified-id=\"Match-result-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>Match result</a></span></li><li><span><a href=\"#Serve-analysis\" data-toc-modified-id=\"Serve-analysis-7\"><span class=\"toc-item-num\">7&nbsp;&nbsp;</span>Serve analysis</a></span><ul class=\"toc-item\"><li><span><a href=\"#Overall-serve-analysis\" data-toc-modified-id=\"Overall-serve-analysis-7.1\"><span class=\"toc-item-num\">7.1&nbsp;&nbsp;</span>Overall serve analysis</a></span></li><li><span><a href=\"#Service-by-sets\" data-toc-modified-id=\"Service-by-sets-7.2\"><span class=\"toc-item-num\">7.2&nbsp;&nbsp;</span>Service by sets</a></span></li><li><span><a href=\"#First-and-second-service\" data-toc-modified-id=\"First-and-second-service-7.3\"><span class=\"toc-item-num\">7.3&nbsp;&nbsp;</span>First and second service</a></span></li><li><span><a href=\"#Players-service-type-and-direction-analysis\" data-toc-modified-id=\"Players-service-type-and-direction-analysis-7.4\"><span class=\"toc-item-num\">7.4&nbsp;&nbsp;</span>Players service type and direction analysis</a></span><ul class=\"toc-item\"><li><span><a href=\"#First-player's-first-service-stats\" data-toc-modified-id=\"First-player's-first-service-stats-7.4.1\"><span class=\"toc-item-num\">7.4.1&nbsp;&nbsp;</span>First player's first service stats</a></span></li><li><span><a href=\"#First-player's-second-service-stats\" data-toc-modified-id=\"First-player's-second-service-stats-7.4.2\"><span class=\"toc-item-num\">7.4.2&nbsp;&nbsp;</span>First player's second service stats</a></span></li><li><span><a href=\"#Second-player's-first-service-stats\" data-toc-modified-id=\"Second-player's-first-service-stats-7.4.3\"><span class=\"toc-item-num\">7.4.3&nbsp;&nbsp;</span>Second player's first service stats</a></span></li><li><span><a href=\"#Second-player's-second-service-stats\" data-toc-modified-id=\"Second-player's-second-service-stats-7.4.4\"><span class=\"toc-item-num\">7.4.4&nbsp;&nbsp;</span>Second player's second service stats</a></span></li></ul></li><li><span><a href=\"#Service-direction\" data-toc-modified-id=\"Service-direction-7.5\"><span class=\"toc-item-num\">7.5&nbsp;&nbsp;</span>Service direction</a></span><ul class=\"toc-item\"><li><span><a href=\"#First-and-second-service-direction\" data-toc-modified-id=\"First-and-second-service-direction-7.5.1\"><span class=\"toc-item-num\">7.5.1&nbsp;&nbsp;</span>First and second service direction</a></span></li><li><span><a href=\"#Aces-direction\" data-toc-modified-id=\"Aces-direction-7.5.2\"><span class=\"toc-item-num\">7.5.2&nbsp;&nbsp;</span>Aces direction</a></span></li><li><span><a href=\"#Fault-direction\" data-toc-modified-id=\"Fault-direction-7.5.3\"><span class=\"toc-item-num\">7.5.3&nbsp;&nbsp;</span>Fault direction</a></span></li></ul></li><li><span><a href=\"#Service-outcome\" data-toc-modified-id=\"Service-outcome-7.6\"><span class=\"toc-item-num\">7.6&nbsp;&nbsp;</span>Service outcome</a></span></li></ul></li><li><span><a href=\"#Drop-shot\" data-toc-modified-id=\"Drop-shot-8\"><span class=\"toc-item-num\">8&nbsp;&nbsp;</span>Drop shot</a></span></li><li><span><a href=\"#Lobs\" data-toc-modified-id=\"Lobs-9\"><span class=\"toc-item-num\">9&nbsp;&nbsp;</span>Lobs</a></span></li><li><span><a href=\"#Stroke-analysis\" data-toc-modified-id=\"Stroke-analysis-10\"><span class=\"toc-item-num\">10&nbsp;&nbsp;</span>Stroke analysis</a></span><ul class=\"toc-item\"><li><span><a href=\"#Strokes-in-general\" data-toc-modified-id=\"Strokes-in-general-10.1\"><span class=\"toc-item-num\">10.1&nbsp;&nbsp;</span>Strokes in general</a></span></li><li><span><a href=\"#Number-of-stroke-types\" data-toc-modified-id=\"Number-of-stroke-types-10.2\"><span class=\"toc-item-num\">10.2&nbsp;&nbsp;</span>Number of stroke types</a></span></li><li><span><a href=\"#Stroke-errors\" data-toc-modified-id=\"Stroke-errors-10.3\"><span class=\"toc-item-num\">10.3&nbsp;&nbsp;</span>Stroke errors</a></span></li></ul></li><li><span><a href=\"#Point-ending\" data-toc-modified-id=\"Point-ending-11\"><span class=\"toc-item-num\">11&nbsp;&nbsp;</span>Point ending</a></span></li><li><span><a href=\"#Comparing-point's-winner-and-point's-rally-length\" data-toc-modified-id=\"Comparing-point's-winner-and-point's-rally-length-12\"><span class=\"toc-item-num\">12&nbsp;&nbsp;</span>Comparing point's winner and point's rally length</a></span></li><li><span><a href=\"#Distribution-of-points-won-with-respect-to-point-duration\" data-toc-modified-id=\"Distribution-of-points-won-with-respect-to-point-duration-13\"><span class=\"toc-item-num\">13&nbsp;&nbsp;</span>Distribution of points won with respect to point duration</a></span></li><li><span><a href=\"#Points-duration\" data-toc-modified-id=\"Points-duration-14\"><span class=\"toc-item-num\">14&nbsp;&nbsp;</span>Points duration</a></span><ul class=\"toc-item\"><li><span><a href=\"#Rally-length\" data-toc-modified-id=\"Rally-length-14.1\"><span class=\"toc-item-num\">14.1&nbsp;&nbsp;</span>Rally length</a></span></li><li><span><a href=\"#Correlation-between-rally-lenght,-point-duration-and-error\" data-toc-modified-id=\"Correlation-between-rally-lenght,-point-duration-and-error-14.2\"><span class=\"toc-item-num\">14.2&nbsp;&nbsp;</span>Correlation between rally lenght, point duration and error</a></span></li></ul></li><li><span><a href=\"#Errors\" data-toc-modified-id=\"Errors-15\"><span class=\"toc-item-num\">15&nbsp;&nbsp;</span>Errors</a></span><ul class=\"toc-item\"><li><ul class=\"toc-item\"><li><span><a href=\"#Errors-through-match\" data-toc-modified-id=\"Errors-through-match-15.0.1\"><span class=\"toc-item-num\">15.0.1&nbsp;&nbsp;</span>Errors through match</a></span></li></ul></li></ul></li><li><span><a href=\"#Conclusion\" data-toc-modified-id=\"Conclusion-16\"><span class=\"toc-item-num\">16&nbsp;&nbsp;</span>Conclusion</a></span></li></ul></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tennis & Data Science"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Short description:**  \n",
    "Tennis & Data science is a Foundley project with Mladen Jovanović as a mentor. The main goal of this project is data exploration, prepocessing, feature extraction and visualization. Mladen provided a dataset \"*03_tenisai_data.csv*\" which contains information about the tennis match between Novak Đoković and Rodger Federer from Wimbledon men's single finals in 2015.  \n",
    "In following cells reader can get to know with the results that I found interesting, statistic of the match in general and code used to process data and visualize it."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Importing necessary libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Loading data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('03_tennisai_data.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dataset preview"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dimensions of the dataset:  (422, 52)\n"
     ]
    },
    {
     "data": {
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>match_id</th>\n",
       "      <th>frame_pos</th>\n",
       "      <th>p1</th>\n",
       "      <th>p1_sets</th>\n",
       "      <th>p1_games</th>\n",
       "      <th>p1_points</th>\n",
       "      <th>p1_set1</th>\n",
       "      <th>p1_set2</th>\n",
       "      <th>p1_set3</th>\n",
       "      <th>p1_set4</th>\n",
       "      <th>...</th>\n",
       "      <th>lob</th>\n",
       "      <th>rally_length</th>\n",
       "      <th>rally_1-4</th>\n",
       "      <th>rally_5-8</th>\n",
       "      <th>rally_9+</th>\n",
       "      <th>expected_ballhit_count</th>\n",
       "      <th>detected_ballhit_count</th>\n",
       "      <th>game_id</th>\n",
       "      <th>point_description</th>\n",
       "      <th>strokes_timestamps</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3</td>\n",
       "      <td>350</td>\n",
       "      <td>djokovic</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>...</td>\n",
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       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1st serve wide, ace.</td>\n",
       "      <td>[26.192]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>975</td>\n",
       "      <td>djokovic</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1st serve wide, fault (net). 2nd serve to body...</td>\n",
       "      <td>[41.239, 49.412, 50.341]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>1425</td>\n",
       "      <td>djokovic</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1st serve wide; forehand return down the middl...</td>\n",
       "      <td>[65.945, 66.688, 67.802]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1850</td>\n",
       "      <td>djokovic</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>15</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1st serve down the T, ace.</td>\n",
       "      <td>[85.264, 86.378]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3</td>\n",
       "      <td>2275</td>\n",
       "      <td>djokovic</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>15</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1st serve wide, fault (net). 2nd serve down th...</td>\n",
       "      <td>[101.053, 109.97, 110.899, 112.385]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   match_id  frame_pos        p1  p1_sets  p1_games  p1_points  p1_set1  \\\n",
       "0         3        350  djokovic        0         0          0       -1   \n",
       "1         3        975  djokovic        0         0          0       -1   \n",
       "2         3       1425  djokovic        0         0          0       -1   \n",
       "3         3       1850  djokovic        0         0         15       -1   \n",
       "4         3       2275  djokovic        0         0         15       -1   \n",
       "\n",
       "   p1_set2  p1_set3  p1_set4  ...  lob rally_length  rally_1-4  rally_5-8  \\\n",
       "0       -1       -1       -1  ...    0            1          1          0   \n",
       "1       -1       -1       -1  ...    0            2          1          0   \n",
       "2       -1       -1       -1  ...    0            3          1          0   \n",
       "3       -1       -1       -1  ...    0            1          1          0   \n",
       "4       -1       -1       -1  ...    0            3          1          0   \n",
       "\n",
       "   rally_9+  expected_ballhit_count  detected_ballhit_count  game_id  \\\n",
       "0         0                       1                       1        0   \n",
       "1         0                       3                       3        0   \n",
       "2         0                       3                       3        0   \n",
       "3         0                       1                       2        0   \n",
       "4         0                       4                       4        0   \n",
       "\n",
       "                                   point_description  \\\n",
       "0                               1st serve wide, ace.   \n",
       "1  1st serve wide, fault (net). 2nd serve to body...   \n",
       "2  1st serve wide; forehand return down the middl...   \n",
       "3                         1st serve down the T, ace.   \n",
       "4  1st serve wide, fault (net). 2nd serve down th...   \n",
       "\n",
       "                    strokes_timestamps  \n",
       "0                             [26.192]  \n",
       "1             [41.239, 49.412, 50.341]  \n",
       "2             [65.945, 66.688, 67.802]  \n",
       "3                     [85.264, 86.378]  \n",
       "4  [101.053, 109.97, 110.899, 112.385]  \n",
       "\n",
       "[5 rows x 52 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"Dimensions of the dataset: \", df.shape)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset is structured from 422 rows representing each point played in matches, and 52 columns for storing information about players' names, point winner, strokes, current game, set, point, etc. Every row also contains point description columns that includes point flow with detailed description of that specific point."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Check for NaNs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There is not NaNs in dataset\n"
     ]
    }
   ],
   "source": [
    "# Check for NaN values in dataset\n",
    "print(\"There is%s NaNs in dataset\" %(\" not\" if not df.isnull().values.any() else \"\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Match result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Set 1</th>\n",
       "      <th>Set 2</th>\n",
       "      <th>Set 3</th>\n",
       "      <th>Set 4</th>\n",
       "      <th>Set 5</th>\n",
       "      <th>Winner</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Djokovic</th>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>4</td>\n",
       "      <td>13</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Federer</th>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>12</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Set 1  Set 2  Set 3  Set 4  Set 5  Winner\n",
       "Djokovic      7      1      7      4     13    True\n",
       "Federer       6      6      6      6     12   False"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Evaluate final result for every set\n",
    "p1_set_list = [df['p1_set'+str(i)].iloc[-1] for i in range(1,6) if df['p1_set'+str(i)].iloc[-1] != -1]\n",
    "p2_set_list = [df['p2_set'+str(i)].iloc[-1] for i in range(1,6) if df['p2_set'+str(i)].iloc[-1] != -1]\n",
    "\n",
    "# Evaluate set score for final set\n",
    "if(df['p1_sets'].iloc[-1] == df['p2_sets'].iloc[-1]):\n",
    "    if(df['matchpoint'].iloc[-1]==1):\n",
    "        p1_set_list.append(df['p1_games'].iloc[-1]+1)\n",
    "        p2_set_list.append(df['p2_games'].iloc[-1])\n",
    "    elif(df['matchpoint'].iloc[-1]==2):\n",
    "        p1_set_list.append(df['p1_games'].iloc[-1])\n",
    "        p2_set_list.append(df['p2_games'].iloc[-1]+1)\n",
    "    else:\n",
    "        raise ValueError(\"There is no winner!\")\n",
    "        \n",
    "# Match winner\n",
    "player1_name = df['p1'].iloc[0][0].upper() + df['p1'].iloc[0][1::]\n",
    "player2_name = df['p2'].iloc[0][0].upper() + df['p2'].iloc[0][1::]\n",
    "player_name = [player1_name, player2_name]\n",
    "match_winner = player1_name if(p1_set_list > p2_set_list) else player2_name\n",
    "\n",
    "# Dictionary for match result data\n",
    "match_result = {}\n",
    "\n",
    "# Adding sets in dictionary\n",
    "for num_set in range(len(p1_set_list)):\n",
    "    match_result['Set ' + str(num_set+1)] = [p1_set_list[num_set], p2_set_list[num_set]]\n",
    "    \n",
    "# Adding winner in dictionary\n",
    "if(match_winner == player1_name):\n",
    "    match_result['Winner'] = [True, False]\n",
    "else:\n",
    "    match_result['Winner'] = [False, True]\n",
    "    \n",
    "match_result_df = pd.DataFrame(data=match_result)\n",
    "match_result_df.index = [player1_name, player2_name]\n",
    "match_result_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Columns for sets and games for players 1 and 2 was used to track result to final row, where '*matchpoint*' column was used to determine a winner."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Serve analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overall serve analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Service overall', fontweight='bold')\n",
    "\n",
    "for i,p in zip(range(2),range(1,3)):\n",
    "    # Points by serve\n",
    "    serve_df = df.loc[(df['server']==player_name[i].lower())]\n",
    "    \n",
    "    # Number of services\n",
    "    N_serve = serve_df.shape[0]\n",
    "    \n",
    "    # Aces\n",
    "    N_aces = serve_df.loc[serve_df['ace'] == p].shape[0]\n",
    "    \n",
    "    # Double faults\n",
    "    N_double_f = serve_df.loc[serve_df['double_fault'] == p].shape[0]\n",
    "    # Single faults\n",
    "    N_single_f = serve_df.loc[serve_df['2nd_serve'] == p].shape[0]\n",
    "    \n",
    "    values = [\n",
    "        N_aces,\n",
    "        N_single_f,\n",
    "        N_double_f, \n",
    "        serve_df.shape[0] - (N_aces+N_single_f+N_double_f)\n",
    "    ]\n",
    "    names = [\n",
    "        'Aces',\n",
    "        'Single faults',\n",
    "        'Double faults',\n",
    "        'Other'\n",
    "    ]\n",
    "    \n",
    "    ax[i].pie(values,\n",
    "              labels=names,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    ax[i].set_title(player_name[i])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the pie chart shown above, we can conclude that Federer is much more confident in his serve having more aces (almost three times) and less double faults (almost double) among all his serves comparing to Đoković."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Service by sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Number of sets\n",
    "N_sets = len(p1_set_list)\n",
    "\n",
    "# List for important data\n",
    "aces_set = []\n",
    "first_fault_set = []\n",
    "second_fault_set = []\n",
    "points_won_ratio = []\n",
    "point_duration = []\n",
    "\n",
    "for i,p in zip(range(2),range(1,3)):\n",
    "    # Points by serve\n",
    "    serve_df = df.loc[(df['server']==player_name[i].lower())]\n",
    "    \n",
    "    \n",
    "    aces_set_ = []\n",
    "    first_fault_set_ = []\n",
    "    second_fault_set_ = []\n",
    "    points_won_ratio_ = []\n",
    "    point_duration_ = []\n",
    "    \n",
    "    for s in range(1, N_sets+1):\n",
    "        # Current set\n",
    "        if(s == 1):\n",
    "            set_df = serve_df.loc[serve_df['p'+str(p)+'_set'+str(s)] == -1]\n",
    "        else:\n",
    "            set_df = serve_df.loc[(serve_df['p'+str(p)+'_set'+str(s)] == -1) &\n",
    "                                  (serve_df['p'+str(p)+'_set'+str(s-1)] != -1)]\n",
    "        \n",
    "        # Aces in current set\n",
    "        N_ace = set_df.loc[set_df['ace'] == p].shape[0]\n",
    "        \n",
    "        # Double faults\n",
    "        N_double_fault = set_df.loc[set_df['double_fault'] == p].shape[0]\n",
    "        # Single faults\n",
    "        N_single_fault = set_df.loc[set_df['2nd_serve'] == p].shape[0]\n",
    "        \n",
    "        # Points won and lost in first serve\n",
    "        N_won_ratio = 100*set_df.loc[(set_df['pt_won_by'] == p)].shape[0]/set_df.shape[0]\n",
    "        \n",
    "        # Append values to list\n",
    "        aces_set_.append(N_ace)\n",
    "        first_fault_set_.append(N_single_fault)\n",
    "        second_fault_set_.append(N_double_fault)\n",
    "        points_won_ratio_.append(N_won_ratio)\n",
    "        \n",
    "        # Average point duration\n",
    "        point_duration_.append(np.mean(set_df['point_duration']))\n",
    "        \n",
    "    aces_set.append(aces_set_)\n",
    "    first_fault_set.append(first_fault_set_)\n",
    "    second_fault_set.append(second_fault_set_)\n",
    "    points_won_ratio.append(points_won_ratio_)\n",
    "    point_duration.append(point_duration_)\n",
    "    \n",
    "    \n",
    "# x axis\n",
    "sets = np.arange(1, N_sets+1)\n",
    "set_names = tuple(['Set '+str(s) for s in sets])\n",
    "\n",
    "# Aces per sets\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(sets-0.1, aces_set[0], width=0.2, color='r', align='center')\n",
    "plt.bar(sets+0.1, aces_set[1], width=0.2, color='g', align='center')\n",
    "plt.ylabel('Number of aces')\n",
    "plt.xticks(sets, set_names)\n",
    "plt.title('Aces per set')\n",
    "plt.legend(player_name)\n",
    "plt.grid('minor')\n",
    "plt.show()\n",
    "    \n",
    "# Faults per sets\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(sets-0.15, first_fault_set[0], width=0.1, color='y', align='center')\n",
    "plt.bar(sets-0.05, first_fault_set[1], width=0.1, color='r', align='center')\n",
    "plt.bar(sets+0.05, second_fault_set[0], width=0.1, color='g', align='center')\n",
    "plt.bar(sets+0.15, second_fault_set[1], width=0.1, color='b', align='center')\n",
    "plt.xticks(sets, set_names)\n",
    "plt.ylabel('Service faults')\n",
    "plt.title('Service faults per set')\n",
    "plt.legend([player_name[0]+'\\'s single fault', player_name[1]+'\\'s single fault',\n",
    "            player_name[0]+'\\'s double fault', player_name[1]+'\\'s double fault'])\n",
    "plt.grid('minor')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Percentage of points won per set\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(sets-0.1, points_won_ratio[0], width=0.2, color='m', align='center')\n",
    "plt.bar(sets+0.1, points_won_ratio[1], width=0.2, color='c', align='center')\n",
    "plt.ylabel('Points won by server [%]')\n",
    "plt.xticks(sets, set_names)\n",
    "plt.ylim([0, 100])\n",
    "plt.title('Server\\'s points won per set')\n",
    "plt.legend(player_name)\n",
    "plt.grid('minor')\n",
    "plt.show()\n",
    "\n",
    "# Average point duration per set\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(sets-0.1, point_duration[0], width=0.2, color='g', align='center')\n",
    "plt.bar(sets+0.1, point_duration[1], width=0.2, color='y', align='center')\n",
    "plt.ylabel('Average point duration [s]')\n",
    "plt.xticks(sets, set_names)\n",
    "plt.title('Average winning point duration per set')\n",
    "plt.legend(player_name)\n",
    "plt.grid('minor')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Number Đoković's aces seem to drop during the match slightly more aggressive on average. Federer dominated in last set scoring 6 times more aces than his opponent. Interestingly, from number of aces and the number of faults in each set per player, Federer appears to have lost sets in which he had much better service than Đoković (more aces and less faults). Looking at the percent of points won by a server and average point duration of points on each players' service, every set, except second, players has played pretty balanced comparing to each other. The only one different is the second set in which Đoković lost 70% of the points in his service, but with with average point duration of nearly a minute, so result of this set (1-6) didn't actually mean that Đoković \"gave up\" on this site."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First and second service"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+qFevnmn7oudWq9UiLCysxH1bq9EpNH/+fGg0GovlU6ZMwQsvvACdTof4+Hj8888/GDRokFlfqoYNG1r0D7KmeK3H888/D1dXV7Nlfn5+pv8X/70prLGx5tixY8jIyDC7JxDVdkwOqNYp7BTbvn17TJw4EWPGjDF1PktOTjbbNjAwsNT3xbcvj/DwcLP3hQ/UAMw6+pbXkiVLcP36dfz222/QarXYsWOH2c0sMDAQP/74I7p3717mvtRqNbp3727qOLhjxw5cv34dgPFh5sEHH8SLL76I5ORknDx50iw5KNqkqKrOY2nnShQ0N6lKNX288ij6oFjU559/jvT0dGzfvh2ZmZnYsmWLWYfPhg0bYsOGDVY7ZN6NW7duYfjw4WbNYUpiraN5ofL+/hcmpADg7e1tSigKBQQElBlHcXXr1sXq1asxZ84c3L59G1euXDF7CJbJZJgwYQK++eYbyGSyCv99JyQkADD/fa5Xr16ZSVrR7Yv/bRRfVlqSWvTcFj2vQMnn1tp5DAgIqHByMGrUKLzwwgt4++23kZOTgyNHjpgKPQBjk6y33noLc+bMAVCxa2dycjIMBoPV81jS30dAQACGDBmCX375BYCxaVHx5KBwMIXyHL+oiIiICm1flsTERCYHZFeYHFCtMHnyZKxYsaLM7Yq3uy4c7aWk9+Vpp11c8Yecyk5u5ubmhl9++QVxcXHYu3cvLly4gAsXLuD3339HbGwsbt++jYkTJ+Ly5cvl2l+/fv2sJge9evVCw4YNUbduXdy8eRM//PADzpw5Y/a5QtbOY4sWLczeF1XSeazqc1WWmj5eeRQvoSwUFBSEbdu24fr169i/fz8uXLiAc+fO4ddff0VqaiouXryIRx55BP/++2+VxLFhwwazxGDZsmWYPn06vL29kZ2dXWKcxZX3HHt5eZn+n5KSgvz8fLPPFrZVr6hRo0Zh+PDhOHToEE6cOIFLly7h8OHD2LhxI4QQWLVqFfr3749JkyZZ/F4+88wzZiXExRXWBhT93LVr10p8sC3k4+Njqj0p/rdRfFlp7eOLnp/Sfne9vLyQlJQEwPp5vNtz++qrr+LZZ5/F3r17cebMGVy6dAlbt27FsWPHkJubi7lz52LQoEGoX7++2Tny8PDAiy++WOq+S/o+pf3ezZgxw5Qc/PLLL9i+fbtpVCylUonJkyeX63sV/z24cuWK2ahhpW0vk8mwZMmSUvumlafPA1FtwuSA7Ernzp2hVCpNTYtWrlyJqVOnmm7sX3/9tdn25SmNr4ziD1LZ2dlwcXExW3by5Ek0atTINEReoejoaIwePRqA8WaWlJQEX1/fMo9Z9CH/2LFjphLEXr16AQB69uyJtWvXmnWI9fLyQvv27U3vi5+X5cuXm+23ps+jPTp27BhatmyJsLAwsyYZ77zzDp566ikAsGhKV/R3Ozs7u0LHKz5M47Rp00wPNYUd9atSZGQkfvrpJwCAXq/H6tWrTc3TUlNT8euvv1Z4n6mpqUhOTkb9+vXRqVMndOrUybSudevWOHHiBABjs5tJkyZZdIJVq9VWmwjdvn0be/bsMf0cevXqhf379wMwliK/++67pp9JoStXrphKoLt3747169cDAPbs2YOzZ8+aSsQvXLhg1qymKv5WIiMj8ffff5uOd+HCBVPTop07d1a41gAwfh8vLy94e3ujX79+pr/35ORk03VHr9fjyJEjqF+/Pnr06IF169YBMA6j3KFDB6sd/k+ePInU1NS7StQHDhyIkJAQxMTEIDs7G9OmTTOtGzJkiNVaGmsKr32FlixZgnvuucfsWpySkgKFQgEPDw/06NEDS5cuBWCscQwICLBoWgkYz9n58+fNEmEie8DkgOyKj48Ppk2bhi+++AKAseS8R48euOeee3DhwgWzh6AmTZpg6NCh1RpPSEiI2ftx48aha9euUCgUGDZsGBo3boxnn30WO3fuRN++fREWFoaAgACkp6djzZo1ps8Vzn1QHh06dICnpyfS0tKg1+tNzRgKb5BRUVFYu3ataTZoAOjTp49ZyWjr1q0xYMAA0yhE3377LRITE9GlSxccPHjQbN6Afv36We1vQKUbP3484uLi0LdvX4SEhMDPzw8JCQlYtWqVaZviJZIhISGmEWxWrFgBtVoNT09P+Pn5mc2bYU3x5kmDBw/GvffeiwsXLpg11agqEydOxMsvv4ycnBwAwMMPP4w9e/aYRiu6myZ9Fy9eRGRkJNq0aYMOHTogKCgILi4uOHr0qCkxAO6U/LZq1QqDBg3CX3/9BQB45ZVX8N9//6Fbt25wdnbGrVu3cPDgQRw4cAA9e/Y09T+aO3cuPvvsM9PoPfPnz8fff/+NLl26QKvV4vDhw0hKSjI1u3nqqafwyy+/QAgBvV6Pnj17YtKkSZDL5Vi5cqUpoZPJZBZJxt146KGHTMmBTqczHS8vL88icS+vn376CQsXLkTPnj3RpEkTBAUFQQhhOk6hwnM7efJkvPbaa6ZaikGDBplGWhIFk1Xu2rUL58+fx6JFi0ocrag0CoUCU6ZMweLFiwHArPa0IpNWtmjRAsOHDzclpPv370fz5s1NoxVdunTJVDPRtm1bDB48GC1btjSNjDVz5kz88ssvaNeuHZRKJW7cuIF9+/bh2LFjmDx5MqKjoyv83YhsmnR9oYlKVtY8B6XJzs62GEO9+CssLEycPXvW7HPlHa2o+JwDkydPNq0rPsZ6XFxciWOH//DDD0IIIe69995SYwUgnn322YqcPjF8+HCzz9etW9e07tSpUxb7/+ijjyz2ER8fL9q2bVtqXK1atRK3b982+1zR9cVH1CnP6E3WlHe0oqo6XlWOVmTts0II0aJFizJ/7p9++qnZZ55++mmr27Vo0aLM75SXl1fiz7P4mPkV+T6l/Wy+/PJLq/McODk5ie7du1f4Z3PgwIEyz5m/v7/ZyDmJiYllznNgLfbNmzcLb2/vErcvPkrNJ598YjYqUfGXQqEwG3FIiLJ/P0v73S4+YljRv/Wi4/OXd7SiZcuWlXmOunfvbjb62/79+0VgYGCZnysae/HRisqan+PKlSsWv0MhISFmcZTnfFbHPAdAxe5NRLUFZ0gmu+Ps7IyNGzdi1apViI6Ohr+/P5RKJTw8PNCxY0csXrwYx44dq7KOnqWpU6cO/vrrL/Tp06fEDmtPPfUUnnzySfTo0QNhYWFwdnaGSqVCUFAQBg0ahLVr1+L111+v0HGLNgECzKvVmzdvDn9/f7P1ffv2tdiHv78/9u7di48++ghRUVHw8fGBUqmEt7c3evTogffffx/79++/q46lBLz22muYM2cOOnXqZJoZ28nJCaGhoRg1ahQ2btxoGoWr0KuvvooFCxYgPDy8wvNzqFQqbNmyBTNmzDDNEtykSRMsW7bM6qzCVWH69On4448/0L17dzg7O8PDwwODBg3Cf//9h/79+1d4f40aNcK7776LBx54AM2aNYOvry8UCgXc3NzQqlUrPPHEEzhy5AhCQ0NNn/H19cXu3bvx9ddfIzo62jQbtbe3N1q0aIH77rsPy5cvt5gpuV+/fjh9+jRefPFFdOzYEZ6enlAqlfD390fPnj0tSq4feeQRHDp0CNOnT0eDBg2g0WigVqsRERGBKVOm4MCBA3jsscfu7kRasXz5crz77rto1qyZaebeadOm4cCBAyXOUVGaYcOG4eWXX8bAgQPRoEEDeHh4QKFQwMfHB926dcPSpUvxzz//mI3+FhkZiVOnTmHx4sXo0qULvLy8oFQqERgYiPbt22PmzJn47bffTHNf3I3w8HCL35WpU6eaxVEenp6e2LZtG1avXo3BgwcjMDDQNCt5s2bN8PDDD5vV9NavXx9Hjx7F+++/j969e8PX1xdKpRJ+fn5o3bo1Jk6ciLVr15pGeCKyJzIhJBrCg4iIiIiIbAprDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwOSAiIiIiogJMDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwOSAiIiIiogJMDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwOSAiIiIiogJMDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwOSAiIiIiogJMDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwOSAiIiIiogJMDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwOSAiIiIiogJMDoiIiIiICACTAyIiIiIiKsDkgIiIiIiIADA5ICIiIiKiAkwOiIiIiIgIAJMDIiIiIiIqwOSAiIiIiIgAMDkgIiIiIqICTA6IiIiIiAgAkwMiIiIiIirA5ICIiIiIiAAwObBZvXv3hkwmq/R+ZDIZevfuXfmAqoAtxVJceno6Hn/8cYSHh0OpVEImk+Ho0aPYtm0bZDIZXnrpJalDJCIHx/sC1bQVK1ZAJpNhxYoVUodCNYjJQTWSyWRmL7VaDX9/f7Rv3x4zZszAX3/9Bb1eL3WYtcZLL70EmUyGq1evVvm+FyxYgA8//BCtWrXCwoULsWjRIgQGBlb5cazhzZHIcfC+ULWq875A5KiUUgfgCBYtWgQA0Ov1SE1NxalTp7Bq1Sp89dVX6NixI7799ls0btzY7DMrV65Edna2FOFWmzNnzsDFxUXqMKzasGEDGjdujN9//91suYeHB86cOQM/Pz+JIiMie8T7gpEt3xeIHBWTgxpgrUlKXFwcHnvsMfzwww/o378/Dh48iDp16pjWh4WF1WCENaNp06ZSh1CiW7duoVevXhbLXVxcbDpuIqqdeF8w4vWVyPawWZFEAgICsHbtWvTu3Rs3btzAkiVLzNaX1LbUYDDgs88+Q2RkJNzc3ODq6orIyEh8+umnMBgM5T7+smXLIJfL0b17dyQnJ5uWr1u3Dr169YKnpyecnZ3RqlUrvP7669BqtaZtcnNz4eXlhTp16kCn01nd/6xZsyCTyfDHH3+YlpXUfEav1+Ozzz5D9+7dTcdt2LAhZsyYgQsXLpT5XX777Tf069cPQUFBUKvVCA4ORlRUFD755JMyP1t4noUQ2L59u6mqvzDOkvocFH4uLy8Pr7zyCpo0aQK1Wo0pU6YAAPLy8vDBBx+gffv28Pb2houLC8LDwzF8+HBs3rwZwJ22nADMjl3ePg6XL1/GQw89hIYNG8LZ2Rk+Pj5o1aoVZs2ahaSkJIvt16xZgz59+sDb2xsajQbNmjXD4sWLzX62hQrPwe3btzFjxgzUrVsXCoUCK1asQHR0NGQyGY4dO2Y1rrVr10Imk+Hpp582W56cnIyFCxeiWbNmcHZ2hqenJ/r164dNmzaV+V2JHAHvC3dIeV8AyncNL+rs2bOYMmUKQkNDoVarERAQgHHjxuHcuXNW95+dnY0333wTHTt2hLu7O9zc3NCsWTM8/vjjiIuLM9s2NjYWc+bMQXh4OJycnODv749Ro0bh0KFDFvst2kdg69at6N27N9zd3eHh4YF7770XZ86csRrPxYsXcf/998Pb2xuurq7o1q2b2c+pvDIyMvDqq6+iZcuW8PDwgLu7Oxo0aIAxY8ZYjXffvn247777EBgYCCcnJ4SGhuLhhx/GrVu3LLYt7b77+uuvQyaT4YMPPrAa161bt6BQKBAZGWm2XKfT4ZNPPkGXLl3g4eEBFxcXtGvXDh999FGF/nbsjqBqA0CUdYo3b94sAIg6deoIg8FgWh4VFWX1s+PGjRMARGhoqJg7d66YN2+eqFevngAgxo0bZzWGqKgo03u9Xi8ee+wxAUCMHDlS5OTkmNYtXLhQABB+fn5i1qxZYv78+aJFixamfeTl5Zm2feihhwQA8dtvv1kcMzc3V3h7e4uAgACRn59fYixCCKHVakX//v1N32nWrFliwYIF4oEHHhA+Pj5i+fLlpm0XLVokAIgrV66Yln3++ecCgAgMDBQzZ84UCxcuFNOnTxeRkZGiY8eOVs95UcuXLzftt169emLRokVi0aJFpuNu3bpVABCLFi0y+1zhz2fIkCEiICBATJkyRSxYsEC89dZbQgghxo4dKwCIli1biscff1w888wzYuLEiSIiIkI89dRTQgghjhw5YvXYixYtElu3bi017lu3bgkfHx+hVCrFsGHDxIIFC8Tjjz8uhg4dKlxcXMSJEyfMtp82bZoAIEJCQsS0adPEk08+Kbp16yYAiN69e5v9nIQw/qxatWol6tWrJ1q0aCEeffRR8fjjj4s///xTfPfddwKAePLJJ63GNmjQIAHALIarV6+K8PBwAUD07NlTzJs3T8ycOVMEBQUJmUwmvvjii7J+VER2gfcF278vCFG+a3ihv/76Szg7OwulUilGjhwpnn76aTF27FihVquFh4eHOHTokNn2ycnJok2bNgKAaNKkiXj88cfF/PnzxciRI4Wrq6vZ9f/y5csiODhYABB9+/YVzz77rBg/frxwcnISTk5O4vfffzfb9/LlywUAMXr0aKFUKsXQoUPF/PnzxeDBgwUA4e/vLxISEsw+c/78eeHr6ysAiEGDBomFCxeK+++/3/R5AGbnvCQGg8F0X+natat44oknxNNPPy0efPBBERgYKD788EOz7b/++muhUCiEi4uLePDBB8XTTz8tRowYIeRyuQgKChLXrl0z2760+25MTIyQy+Wiffv2VmN78803BQCzGPLy8kR0dLTp5/Dwww+LuXPnitatWwsAYsKECWV+Z3vF5KAalecmkJubK5RKpQAgLl++bFpu7SZQ+FDWrl07kZGRYVqemZkpOnToIACIb7/91iKGwgtvTk6OGDVqlAAgHn30UaHX603b7d6923Qhjo2NNS3Pz88XQ4YMEQDEa6+9ZrH96NGjLb7TunXrrD48WrsJFN54hg4dKnJzcy3OTXx8vLXTZtK+fXvh5OQk4uLiLNYVvwCWxlpsQpSdHLRq1criOKmpqUImk4kOHToInU5nsc/ExMRyHbs0H3zwgQAg3nvvPYt1mZmZIjs72/S+8GYxcuRIs+VC3LmxFt9P4e/uxIkTLRKHnJwc4enpaXGTF0KI2NhYoVAoLC7QUVFRQiaTiTVr1pgtT0lJEW3atBEajUbcvn27/CeAqJbifcH27wsVuYYnJycLLy8v4evrK06dOmW23cmTJ4Wrq6to166d2fLCxGPWrFlm51sIIdLT00Vqaqrp/YABAwQAsXjxYrPtdu3aJRQKhfDx8TH7uRde7xUKhdi8ebPZZ5599lkBQLz55ptmy++55x6r94FffvnF9PtanuTg+PHjAoAYMWKExTq9Xi+Sk5NN78+dOydUKpVo0KCBiImJMdt2y5YtQi6XW+yntPuuEHfOVfHCMSGEaN68uVCpVGY/u8L736OPPmr2c9bpdKYCtV9++aXM722PmBxUo/LcBIQQIiAgQAAQ+/btMy2zdhMoLEnZuHGjxT4KS5r69OljEUNUVJRISkoS3bt3FzKZTLzxxhsWn58xY4YAID7//HOLdefOnRNyuVxERESYLW/cuLFwcnISSUlJZsvvvfdeAUAcO3bMaiyFdDqd8PT0FM7OzuLmzZsWxy2P9u3bCxcXF7OLzt242+TA2oUjLS1NABDdunUzK/Wr6LFLU5gcWPt5Fde2bVuhVCpFSkqKxTqdTid8fX1FZGSkRUwl3VyFEGLmzJkCgNiwYYPZ8mXLlgkA4v333zctO3r0qAAg7rvvPqv7KrwBffzxx2V+F6LajvcF278vVOQa/t577wkA4qOPPrK6ft68eQKAKXGIi4szlYxnZmaWuu8bN24IACIsLMyshqbQhAkTBADxzTffmJYVJgfjx4+32P7y5csWyVvhMSIiIqwmQoW/cxVJDsaOHVvmtoXnpfg9pNCIESOEQqEQ6enpFrGU9MD+7bffCgBi/vz5ZssPHDhgKiArpNfrha+vrwgMDLQo5BLCWHAlk8nE/fffX+Z3sUfskGwDhBAAUOb41YcPH4ZcLrfaPjMqKgoKhQJHjhyxWBcXF4fu3bvj8uXLWLVqFcaPH2913wDQt29fi3WNGzdGSEgIrly5gtTUVHh5eQEAJk+ejOeffx5r167F7NmzTcfauHEj2rVrh9atW5f6fc6ePYu0tDR07twZwcHBpW5bkvHjx+Opp55CixYtMGbMGERFRaF79+7w9/e/q/1VVKdOnSyWeXh4YOjQofj999/Rtm1bjB49Gj179kTnzp2rbFSOYcOG4bnnnsOcOXOwceNGREdHo3v37mjevLnZ71F2djaOHTsGPz8/vPfee1b3pVarrbZDDQ8PN+sMWdSUKVPwv//9D9988w3uvfde0/JvvvkGKpUK48aNMy3bs2cPACAtLc1qX4qEhAQAKLEtLJEj4n1BuvtCRa7hhde3Y8eOWb2+nT9/HoDx+ta8eXMcOHAABoMBvXr1gqura6lxFP7cevbsCZVKZbG+b9++WL16NY4cOYJJkyaZrevYsaPF9qGhoQCAlJQUi2P06NEDCoXC4jO9e/fG9u3bS42zUPPmzdG2bVusWbMG165dw/Dhw9GjRw907NgRTk5OZtsWnrft27fjwIEDFvuKj4+HXq/H+fPn0aFDB7N11u67ADBy5Eh4enpi9erVeOONN0zf55tvvgEAU59AwPhzSUpKQqNGjbB48WKr+3N2dnbc+5LU2Yk9QzlKiHJyckzVx0XbTForIVIoFMLPz6/EfQUEBAiZTGYRg5eXl5DL5SIsLMyiDV+hBg0aCAAllmR07txZABBXr141Lbtx44aQy+WiU6dOpmVvv/12ic1dUKyE6L///hMAxKhRo0r8TuXxzTffiM6dOwu5XC4ACJlMJnr37i0OHDhQ7n0Uj61QWTUHJZUqZWdni0WLFolGjRqZfg80Go2YMGGCRfOZko5dltOnT4sHHnhAeHh4mI4RGhpqVmofExNjWlfWq3hMvXr1KvX4jRs3Fmq12lQ6d+jQIatVyosXLy7X8adMmVLhc0BU2/C+YM5W7wvlvYYX1tyU9VqxYoUQQojVq1cLWGleZc2qVausloQX+uuvvyyunYU1ByWV9Bc/32Ud49NPPy13zYEQxmZW8+bNEyEhIabv7u7uLh599FGz5k8NGzYs13nbtm2b6TNl3XeFuFOr/eeffwohjP0KfH19hb+/v1ntS+HvWVmv8PDwcn1ve8PRiiT233//QafTISAgAOHh4aVu6+npieTkZOTn51us0+l0SExMhIeHh8W6Nm3a4JtvvsHNmzfRq1cvXL582eq+AeD27dtWjx0bG2u2HQCEhISgb9++2L9/P86ePQvAeslxSQpLmm7evFnmtqWZNGkS9u7di6SkJPzxxx+YPn06duzYgejoaMTHx1dq32UpqVTP2dkZL730Es6fP4/r169j9erV6NGjB1avXo377ruvSo7drFkzfP/990hKSsLBgwfxxhtvwGAwYO7cufjqq68A3Pl5tWvXDsLYjLDEV3m/W6FJkyZBq9Xi+++/B3CndGby5Mlm2xXG8P7775d6/OXLl1fuhBDZCd4XpL8vlPcaXvjdjx07Vur1rfC6WJHvdzfnv6IKP1t8hKRCJR27JN7e3nj33Xdx48YNXLhwAV9++SWaNm2Kjz76CI888ojFcdPS0ko9b1FRURbHKO3eVHieC+9HGzZsQFJSEsaNG2dW+1J4/JEjR5Z6/CtXrlTo+9uN6s09HBvKKCHS6/Wid+/eAoB44oknzNZZKyHq16+fAGDRyUgIYwcelNK2VAghfvjhB6FSqUTdunXFuXPnzLabPn26ACC+/PJLi31fuHDBattSIe6Ugjz77LPiyJEjAoAYNmyY1e9bNBYhjG1Lvby8KtW2tCSFnYl+/PHHcm1fPLZCZdUcVIRerzeVQhXtFCWXy0WPHj0qtK+S7NixQwDG0RwKtWjRwmob4NKUdD6Kun79upDL5aJLly4iLy9P+Pv7Cz8/P4u2sYXtPUvqc0DkSHhfMGfL94XirF3DC/tZldTnoLj4+PgK9zkIDw+32i5+4sSJArDe56C8NQdV2eegJNnZ2cLNzU24u7ubls2ZM0cAJfc5sKa8991GjRoJjUYjUlNTxfDhwwUAcfjwYbNt8vPzhZeXlwgKCrLan8PRMTmoRqXdBOLi4sT9998vAGNno+I97639ERR2tomMjBRZWVmm5VlZWSIyMlIAEKtXr7aIoeiF4LfffhNqtVoEBgaKkydPmpbv2rXLdBEqOhKETqcz/XEVHy1BCOMfvYeHhwgJCRFz584VAMTPP/9c4vko/sD53HPPCcD6qBRarbbMUSn++usvqxfNwpE0CqsWy1KVyUF8fLzYu3evxfL09HQRGBgolEqlWScrf39/Ua9evXLFWWjfvn1WR/f54YcfBADxwAMPmJZ99dVXAoAYPny41U7JycnJFkPtlSc5EOJOlXrhDfLxxx+3ul3Pnj2FXC4XX331ldX1x48fL7HzM5E94X3B8nzY2n2hItfwxMRE4eXlJfz9/c06jxfS6/UWQ1MXDj1rbbSijIwMs9GKCkcSWrZsmdl2e/fuFQqFQnh7e5vdTyqaHBQ9RmVHK7p8+bLZ70+hmzdvCpVKJerUqWNadubMGaFSqUSjRo0sklIhjD/nHTt2mC0rb3JQ2JR1yZIlQqVSidatW1vd7sUXXzT9HIqP5CeEccjw4iNQOQomB9Wo8I+qcOz6F198UTz22GOib9++wsnJSQAQnTp1EhcuXLD4bEl/BA888IDpYj1v3jzxxBNPiIiICIsHwqIxFL8Q/P3338LZ2Vn4+fmJo0ePmpYvWLBAAMaxtWfPni2efvpp0bJlSwFA9OjRQ2i1Wqvfs7B0SaVSCV9f3xK3sxaLVqs1lXyFhYWJ2bNni2eeeUaMGzdO+Pn5lXlBKhxSc/To0eKpp54STz75pOmG2KFDh3KXCFRlclBYUtasWTMxfvx48eyzz4rZs2eLsLAwqw/QDz74oKm0f9GiReLVV18V27dvLzXeuXPnCqVSKfr16ycefvhh8eyzz4r7779faDQaoVarxe7du822nz17tgAgfHx8xNixY8UzzzwjZs6cKfr37y+cnJzEww8/XK7zUVxhe1WVSiUAWCQZhW7cuGEqcWvTpo146KGHxIIFC8S4ceNMv2N79uwp83hEtR3vC2XHIvV9oaLX8M2bNwt3d3chk8lE//79xdy5c8UTTzwhRo8eLYKDg4VarTbbPjk52TSWftOmTcXcuXPF008/Le677z7h7u5ulkxcunRJBAYGCgDinnvuEQsXLhQTJkwQarVaqFQqi5F77iY5KDrPweDBg+96noP169ebzvHkyZPFwoULxYwZM4S/v78AIN5++22z7VetWiVUKpVQKpViyJAh4sknnxSPPfaYGD58uPDx8RFNmjQx2768yUFhrXbhfan4cQvl5eWJYcOGCQCibt26YuLEieLZZ58V06ZNMxVovf7662Uezx4xOahGhTeBwpeTk5Pw9fUV7du3FzNmzBB//fWXRalBoZL+CPR6vfj4449Fhw4dhLOzs3B2dhbt27cXH330kdV9lfbQ6+bmJry9vcX+/ftNy9esWSO6d+8u3NzchFqtFs2bNxeLFy82mxSnuJ07d5q+46OPPlrq+bAWS35+vvjwww9FZGSkcHV1FS4uLqJhw4Zi5syZVm+QRX366adixIgRIiIiQjg7Owtvb2/Rtm1b8eabb5qVppSlKpODlJQU8fLLL4s+ffqI4OBg4eTkJAIDA0VUVJT47rvvLDpTxcXFibFjx4o6deqYOs8VP15xe/fuFbNmzRKtW7cW3t7eQqPRiAYNGogpU6ZYHeNZCCF+//13ce+99wp/f3+hUqlEQECAiIyMFM8//7w4c+ZMuc5HcVlZWaYO0S1btix12/T0dPHaa6+J9u3bC1dXV6HRaER4eLgYPHiw+Pzzz8usYieyB7wvlC8WKe8LFb2GCyHElStXxJw5c0TDhg2FWq0W7u7uokmTJmLChAli/fr1FttnZmaKxYsXi1atWglnZ2fh5uYmmjVrJubOnWtRixoTEyNmzZolwsLCTMnW8OHDzX5Ghe4mORDC2Exs9OjRwtPTU7i4uIguXbqIDRs2lLm/om7cuCEWLlwounXrJgICAoSTk5OoW7euGDhwYIm1NcePHxeTJ08WYWFhwsnJSXh7e4sWLVqIhx56SGzZssVs24o05y1MLpVKZalz6BgMBrFy5UrRt29f4e3tLVQqlQgODhbdu3cXr732mrh+/Xq5jmdvZEJY6YlIkuvSpQuOHDliNj09ERE5Lt4XiKgmcLQiG6TX63H58mWEhIRIHQoREdkA3heIqKYwObAxL730EqKjo5GQkFBlQ14SEVHtxfsCEdUkNiuyMXK5HGFhYbj//vvx6quvQqPRSB0SERFJiPcFIqpJTA6IiIiIiAgAmxUREREREVEBJgdERERERASAyQERERERERVgckBERERERACYHBARERERUQEmB0REREREBIDJARERERERFWByQEREREREAJgcEBERERFRASYHREREREQEgMkBEREREREVYHJAREREREQAmBwQERERSW7fvn0YOXIkwsLCoFarERAQgK5du+Kpp56SOjRyMDIhhJA6CCIiIiJH9ccff2DYsGHo3bs3Zs6ciaCgIMTGxuLgwYNYu3YtYmJipA6RHAiTAyIiIiIJRUVF4ebNmzh79iyUSqXZOoPBALm88g09srOz4eLiUun92NqxqOqxWRERERGRhJKSkuDn52eRGACwSAy+//57dO3aFa6urnBzc0N0dDSOHDlits2UKVPg5uaGEydOYMCAAXB3d0e/fv0wb948uLq6Ij093eI4Y8aMQUBAAPLz86vkWFR7MTkgIiIiklDXrl2xb98+PP7449i3b5/ZA3pRS5YswdixY9G8eXOsW7cOq1atQkZGBnr27InTp0+bbZuXl4dhw4ahb9+++PXXX/Hyyy9j2rRpyM7Oxrp168y2TU1Nxa+//ooJEyZApVJVybGoFhNEREREJJnExETRo0cPAUAAECqVSnTr1k28/vrrIiMjQwghxPXr14VSqRSPPfaY2WczMjJEYGCgeOCBB0zLJk+eLACIr7/+2uJY7du3F926dTNb9sknnwgA4sSJE1V6LKqdWHNAREREJCFfX1/s3LkTBw4cwBtvvIHhw4fj/PnzWLhwIVq1aoXExERs3LgROp0OkyZNgk6nM700Gg2ioqKwbds2i/2OHj3aYtnUqVOxe/dunDt3zrRs+fLliIyMRMuWLQGgyo5FtZNl4zYiIiIiqnEdO3ZEx44dAQD5+fl45pln8O6772Lp0qXw9PQEAERGRlr9bPG+CS4uLvDw8LDYbvz48Zg/fz5WrFiB119/HadPn8aBAwfwySefmLaJi4urkmNR7cTkgIiIiMjGqFQqLFq0CO+++y5OnjyJ4cOHAwB+/PFH1KtXr8zPy2Qyq8u9vb0xfPhwrFy5EosXL8by5cuh0WgwduxY0zZ+fn5VciyqnZgcEBEREUkoNjYWQUFBFsvPnDkDAAgODkZ0dDSUSiUuXbpU6SY8U6dOxbp16/Dnn39i9erVGDlyJLy8vEzrq/JYVPswOSAiIiKSUHR0NEJCQjB06FA0bdoUBoMBR48exdtvvw03NzfMnTsX4eHheOWVV/D888/j8uXLGDhwILy9vREXF4f9+/fD1dW13KMEDRgwACEhIZg9ezZu376NqVOnmq2vymNR7cPkgIiIiEhCL7zwAn799Ve8++67iI2NhVarRVBQEPr374+FCxeiWbNmAICFCxeiefPmeP/997FmzRpotVoEBgYiMjISs2bNKvfx5HI5Jk2ahCVLliA0NNTqvARVdSyqfThDMhERERERAeAkaEREREREVIDJARERERERAWByQEREREREBZgcEBERERERACYHRERERERUgMkBEREREREBYHJAREREREQFmBwQEREREREAJgdERERERFSAyQEREREREQFgckBERERERAWYHBAREREREQAmB0REREREVIDJARERERERAWByQEREREREBZgcEBERERERAEApdQBElaE3CCRkaHE7PRfx6bnI1Oqg1RmQm6+HVmeAtvDfIst0egG1Sg5nlcL4cip4FbzXFCzzcVEhyMsZ/m5qyOUyqb8qERHVkPTcfCRmaJGQqUViRh4SM7VIytJCm28AAMgKbgky3Lk3yKzcJjQqBXxcneDt4gRfN+O/Pq4q+LiqoeB9hWwUkwOyaRm5+bgQl4mrSVmIS8/F7XQtbqflGv+flouETC30BlGtMagUMgR4aBDkqUGQpzOCve78W9fLGQ3quEGtVFRrDEREVDWytDqciU3HudsZiE3PRWKGFomZWiRkaJGYaUwEtDpDtcagkMvg5+aEIE9nBHpqEOypQaCnM0J9nNE00AMRfq7Venyi0siEENX7ZEVUDnqDwKWETJy6lY4zsek4fzsD5+IyEJuWK3VoZVLKZajv74rmQZ5oHuyB5kEeaB7sAR9XJ6lDIyJyaDEp2TgTm4Ezsek4HWu8v1xPzoatP/m4qZVoFuSO5sGeaFFwX2kc4A4nJVuDU/VjckCSSM7Kw55LSdh3JQknYtJw5nY6cvOrt6SmpgV6aIzJQrAH2od5o3OED1zVrKwjIqoOZ2+nG+8npkQgA2k5+VKHVWVUChka1XFH82APU8LQPNgD7hqV1KGRnWFyQDUiIzcf+64kY8+lJOy+lIiztzNsvuSmqinlMrQJ9UKPhn7o1tAX7cO8oVKwFIiI6G6k5eRj5/kEbC94xWdopQ6pxinkMrQL9UKfpnXQu4k/WgR7Sh0S2QEmB1Qt8nQG7L+SjN2XErH7UhJO3Eyr9r4BtY2LkwKdInzQvaEfejT0Q7MgD6lDIiKyWQaDwPGYVFMycCyG95XiAjzUiGpsTBR6NvJjrQLdFSYHVGXy9QbsvJCIP47fwj+n45Ceq5M6pFrF312Nwa2CMLR1EDqG+0gdDhGR5BIytNhRkAzsvJCAlGz7aSZU3ZRyGTrU80afJnXQu6k/mgayAIrKh8kBVYpOb8Cui4nYcCIWm07F2VX7TinV9XLGva2DMLR1MFqFsJqYiBxHllaHDcdj8cPBGzh0PcXhmqBWlyBPDaJbBGJMZChrqqlUTA6owvQGgd2XEvHH8VhsPHWbJTnVLMLPFUNaB2FYm2A0CnCXOhwiompx4Goy1h28gT+PxyIrTy91OHatdYgnxnQMxbC2wWx6RBaYHFC5JWVqsWb/DXy37xpu1YIhRu1RsyB3PBgZhlHt6/KCTkS1Xnx6Ln46HIMfDsbgcmKW1OE4HGeVAve2DsKYyFBEsjkrFWByQGU6cj0FK/dcw58nYqt9YhgqH1cnBUa0q4sJXeqxepiIapV8vQH/no3HuoM3sO1cAjsV24gG/m4YExmK0e3rwtdNLXU4JCEmB2SVNl+P34/fwso913A8Jk3qcKgUXer7YHqPCPRrGgC5XCZ1OEREViVkaPHVf5fx46EYJGbmSR0OlUClkKFfswCM6xSGXo39pQ6HJMDkgMzEpedixa6rWHvgOvsS1DLhvi6Y0j0C93cI4WRrRGQz4tNz8dn2S/hu/3W7m+zS3rUJ8cTc/o3Rt2kdqUOhGiRJcrBv3z688cYbOHToEOLi4uDl5YX69eujW7duePvtt2s6HIKxROfTbRfx7b7rbDpUy3m5qPBwr/qY0i0Czk4KqcMhIgcVm5aDT7ddwvcHbvC+UssxSXAsNZ4c/PHHHxg2bBh69+6NmTNnIigoCLGxsTh48CDWrl2LmJiYmgzH4SVn5eGz7Zewas815ORzdAh74u+mxuw+DTCucxjUSiYJRFQzYlKy8em2S/jhYAzy9EwK7AmTBMdQ48lBVFQUbt68ibNnz0KpNG/6YDAYIJfLK32M7OxsuLi4VHo/tnasqpSanYcvdlzGN7uvcsg4OxfkqcFjfRvhgY4hUCoq//dFRGTNjeRsfLz1In46HIN8PVss2zMmCfatxp8UkpKS4OfnZ5EYALBIDL7//nt07doVrq6ucHNzQ3R0NI4cOWK2zZQpU+Dm5oYTJ05gwIABcHd3R79+/TBv3jy4uroiPT3d4jhjxoxBQEAA8vPvtKmvzLFqk/ScfLzzzzn0fHMrPtl2iYmBA4hNy8Vz60+g3zvb8fPhGBg4MggRVaFrSVl4+odj6PPWNqw9cIOJgQM4FpOGaSsOYPhH/+Hfs/FSh0NVrMaTg65du2Lfvn14/PHHsW/fPrMH9KKWLFmCsWPHonnz5li3bh1WrVqFjIwM9OzZE6dPnzbbNi8vD8OGDUPfvn3x66+/4uWXX8a0adOQnZ2NdevWmW2bmpqKX3/9FRMmTIBKpaqSY9UGBoPAd/uuodeyrfhgy0VkaHVSh0Q17FpSNp5cdwwD3tuBLWfipA6HiGo5bb4e7/xzDgPe3YEfDsVAx4IHh1OYJIz6ZDfOxFoWxlLtVOPNipKSkjBixAj8999/AACVSoXIyEgMHToUjz76KNzc3HDjxg3Ur18fjzzyCD744APTZzMzM9GoUSP06tUL33//PQBjaf4333yDr7/+GlOnTjU7VocOHaDRaLBr1y7Tsk8//RSzZ8/GiRMn0LJlyyo7li07HpOKF385iWMckpSKGNA8AC8Na4FgL2epQyGiWmb7uXj832+ncC0pW+pQyEYo5DJM7R6OJ+9pDBcnjphXm9V4zYGvry927tyJAwcO4I033sDw4cNx/vx5LFy4EK1atUJiYiI2btwInU6HSZMmQafTmV4ajQZRUVHYtm2bxX5Hjx5tsWzq1KnYvXs3zp07Z1q2fPlyREZGomXLlgBQZceyRanZeXh+/QmM+HgXEwOysOl0HPq/sx2fb78EHTsNElE53E7LxexvD2Hy8gNMDMiM3iDw5c4r6P/2dvxz+rbU4VAlSJbadezYER07dgQA5Ofn45lnnsG7776LpUuXwtPTEwAQGRlp9bPF+ya4uLjAw8Nyltjx48dj/vz5WLFiBV5//XWcPn0aBw4cwCeffGLaJi4urkqOZWu+P3ADb/59FslZnGiGSpadp8frf53Fz4dvYvHIlogM95E6JCKyQXqDwIrdV/DuPxeQyWapVIpbabmYufIQa6drMZuo91GpVFi0aBHeffddnDx5EsOHDwcA/Pjjj6hXr16Zn5fJrM8K6+3tjeHDh2PlypVYvHgxli9fDo1Gg7Fjx5q28fPzq5Jj2YrTt9Lwwi+ncPh6itShUC1yLi4DD3y+B/d1CMHCQc3g4+okdUhEZCOOXE/B8+tP4jTblFMFbDodh10XE/HEPY0xtXsEFHLbfn6iO2o8OYiNjUVQUJDF8jNnzgAAgoODER0dDaVSiUuXLlW6Cc/UqVOxbt06/Pnnn1i9ejVGjhwJLy8v0/qqPJaUdHoDPvz3Ij7aehF6dgqjuyAE8MPBGPxzOg4v3tscozuESB0SEUkoLScfb/x1BmsP3EDNT5dK9iArT4/Ff5zB+iM38drIVmgb6iV1SFQONZ4cREdHIyQkBEOHDkXTpk1hMBhw9OhRvP3223Bzc8PcuXMRHh6OV155Bc8//zwuX76MgQMHwtvbG3Fxcdi/fz9cXV3LPUrQgAEDEBISgtmzZ+P27dsWHYmr8lhSuZaUhXlrj+LIjVSpQyE7kJqdj6d+OIat5+KxZGQreDirpA6JiGrYplO3sfDnE0hi01SqAqdupWPUJ7swvnM9LBzclB2WbVyN/3ReeOEF/Prrr3j33XcRGxsLrVaLoKAg9O/fHwsXLkSzZs0AAAsXLkTz5s3x/vvvY82aNdBqtQgMDERkZCRmzZpV7uPJ5XJMmjQJS5YsQWhoqNV5CarqWFJYd/AGXv7tFOcroCq34XgsjlxPxXsPtmVfBCIHoc3X49U/zmD13mtSh0J2xiCAVXuvYe/lJHwyvj0aBbhLHRKVoMaHMqWqkZqdh4U/n8BfJzkiAFUvhVyGOX0aYG6/xmwzSmTHzsdl4LHvjuBcXIbUoZCdc3FSYPGIlhjVns1XbRGTg1po18VEPLXuGG6n50odCjmQDvW88f6DbRHi7SJ1KERUxb7bdw2vbDiN3HwOa0w1Z0xkKF4Z1gJqlULqUKgIJge1iE5vwNKN5/C/nZfZOYwk4aFRYvGIlhjWtq7UoRBRFcjO0+HZn07gt2O3pA6FHFTzIA98PL49IvxcpQ6FCjA5qCVSs/Mw+9vD2H0pSepQiDCuUxheHt4CKkWNz6NIRFXkUnwmZq0+hAvxmVKHQg7OTa3EG6NbYUjrYKlDITA5qBUuxmdixjcHcJWzUZIN6VrfF59OaA8vF86JQFTb/HE8Fs/8dJwTmpFNmdilHl4Y0gxqJZsZSYnJgY3792w85q45ggxewMkGhfu64KvJkWhQx03qUIioHPQGgdf/OoMvd16ROhQiq1rV9cTH49ojzJf926TC5MCGfbb9Epb+fRac04xsmYdGiY/GtUevxv5Sh0JEpdDm6/H42qPYeIqj3JFt83JRYfmUSLQL85Y6FIfE5MAGaXV6LPz5BH4+fFPqUIjKRSGX4cUhzTGlW7jUoRCRFem5+Zj5zUHsu5IsdShE5eKsUuCzCe0R1aSO1KE4HCYHNiYhQ4uHVx3E4eupUodCVGETOofhpWEtoGRHZSKbEZ+ei8nL9+NMLOcvoNpFpZBh2X1tMKIdR8irSUwObMiN5GxM+GofrrHjMdViPRr64YtJHeDiVOMTsBNRMZcTMjHp6/2IScmROhSiuyKTAS/e2xzTekRIHYrDYHJgI87HZWDiV/sQl66VOhSiSutYzxvLp0bCXaOSOhQih3XsRiqmrjiA5Kw8qUMhqrTZvRtgwcCmUofhEJgc2ICj11MwZcUBpGbnSx0KUZVpG+qFb6Z1gqczEwSimrbjfAJmrT6E7Dy91KEQVZkxkaFYMrIVFHKZ1KHYNSYHEtt3JQnTlh9AFi/gZIdaBHtg1fTO8HHlXAhENeWXIzfx9I/HkK/n7Z3sz4DmAfhwbDuoVZwLobowOZDQ7kuJmL7iIHLymRiQ/Woc4IZvZ3SBv7ta6lCI7N5X/13G4j/OgHd2smedI3zwv8kd4cGmq9WCyYFEdpxPwEOrDiI33yB1KETVroG/K76d0QWBnhqpQyGyW1/9dxmvbjgjdRhENaJFsAe+m9mFTVerAccblMCO8wmYuZKJATmOSwlZeODzPYhJ4UhcRNXh58MxWPwHEwNyHKdupWPq8v3IztNJHYrdYXJQw47eSMWs1Yeg1TExIMdyPTkbD36xFwkZuVKHQmRXtp6Nx4Ifj7MpETmcw9dT8dDKQ9Dq2Dy7KjE5qEGXEzIxbcUBjh5BDismJQdTlh9AppYlPURV4dC1FMz+9jB0BmYG5Jj+u5iIx9ccgZ5/A1WGyUENiUvPxaSv93O8aXJ4p26lY9aqQ8jXs/aMqDLO3c7AtBUHOKgFObyNp+Kw4MdjUodhN5gc1ID03HxM5gyVRCb/XUzE/B94ISe6WzEp2Zj09T6k5XB+HCIA+OnwTbzxF/vdVAWl1AHYO22+HjO/OYiztzOkDoXIpvx69BYCPDR4bnAzqUMhqlWSMrWY+NV+xKVrpQ6lVss4thHJf38ImUqDsCd/NFsn9DpkHPodmSc2Q5caCyhUcPINhVef6dCElH7NEvp8pO3+HpmntkKfkQSFmzdcm0fBs9tYyFXmQzrnJ99E6vZvkHvtGIReB5V/PXh2HQOXRp3Ntsu9cRLJm7+ALjUWTnXqwyd6Dpz8wsy2Sdr0KfITryFg7OuQyRxzkrDPtl9GsJczJnUNlzqUWo01B9XIYBCY+/1R7LuSLHUoRDbpix2X8fV/V6QOg6jWyNTqMHn5flxJzJI6lFpNl5GIlK1fQ+HmY7FOGPRIWP8aUnevhWvzKNS5/yX4DZ0PTf0OEPllD6iQ+NsypO//Ge5tolHn/pfg1noA0g/8gsTf3jSPIS0Ot1fNR35yDHyi58BvxLNQuHgi4efFyDq3y7SdITcTCT+/BnVQI/iPeA5ytQsS1i+BMNxpTqa9eRZZJ/6Bb/Qch00MCr302yn8c/q21GHUaqw5qEb/99sp/H2Sv6BEpXn1j9Oo467GkDbBUodCZNO0Oj1mrjyIkzfTpQ6l1kve+DE0oS0g17gju8iDOABkHNqAnMuHEDh+KdR1m5qWuzSILHO/2ptnkX1+N7z7TIdHp5EAAOfwtpDJFUjdsRI5V47AOaIdACBt7w8QOi3qPPAKlO5+xm0j2iP260eRsuVLuDTuCplMDu3NsxD6fPjc8whkCiVUfmG4+clk6FJuQeUbCqHXIWnjR/DoPBoq39CqOkW1lkEAj605gjUzu6BdmLfU4dRKrDmoJt/tu47Ve69JHQaRzRMCeHLdMRy+liJ1KEQ2bdGvp7DnUpLUYdR6mae2IvfGSfjcM9vq+vRDv0Ed2sIsMSgv7c3TAADnBh3Nljs37AQAyD5/JxHRxpyByj/ClBgAgEyugKZ+B+gzEpB36zwAQOjzIFOoIFMYy3PlTs7G5Tpjf5P0/T9D6HXw7PJAheO1V7n5Bkz/5iDn1rlLTA6qwbEbqXj591NSh0FUa+TpDZjz3WEkZbINNZE1Px+OwdoDN6QOo9bTZ6UiZcv/4B01BUoPP4v1uvQE6NPi4OQfjpTt3+DGhxNwbekw3PpyNjJPbClz/0JfMEyzwnzWXlnB+/z4q3e2NeggU1rO7lu4bV6CcVunwEYw5OUg48ifMORmIm3POsidPaD0qYv8lFik7fkevgMftbovR5aclYfHvjvCkfHuApODKpaclYfZ3x7mJGdEFRSblou5a4/CwLGqicycj8vA8+tPSh2GXUje9AlUPnXh1m6w1fX6DGPNTOaJLci5sA8+98xCnftfgsovFEl/vouMo3+Xun9VQSdh7U3zUXO0McYCQ33uncFJVL6hyI+/AkNeTrFtjbUPhhxj8zGlhz98+j+E5C1f4Mb7DyLj6F/wHTQXcpUayRs/hmuzKGhCW5b3FDiUIzdS8cZfZ6UOo9Zhn4MqZDAIzF17BDdTOWQp0d3472Ii3t18Hk8NaCJ1KEQ2IUurwyOrD3MugyqQdW4Xsi/tR9CUD0rstCsKppkW+jzUuf8lKD3rAAA04e1w+5t5SNu9Fu5tB5Z4DOf6HaD0DkLqtuVQuHhBHdQI2lvnkLJjJSCTA7hzXPf2Q5BzYR8S/3gH3n2mQ65SI+PQhjuJhexO+a17u8FwbdEX+owEKD0DIVOqkHnyX+QlXIXfiGehz8lA8ubPkHvlCORqF3h0GgX3EhIgR/PVf1fQOcIHA1oESh1KrcGagyr09j/nsfNCotRhENVqH229iK1n46UOg8gmLPz5BC4lZEodRq1nyMtB8j+fwqP9UCjdfGDIzYQhN9PUDMiQmwlDXi4Uzu4AAJVPiCkxAACZTAZNRHvoMxKhz0ot8TgyhQp17n8ZCg9/xK97ETfefxAJv7wOzy4PQK5xg9Ld17Stc3hb+A6eB+2NU7j1+QzEfDQR2ef3wKvnBACAosi2ACB30kDlGwqZUgV9TjpStn4Fn34zodC4IWXLFzDkZKLuw/+D37AFSNn6NXKvHa+q01frzf/xGPsfVABrDqrIP6fj8Mm2i1KHQVTrCQHM+/4o/ni8B0K8XaQOh0gy3+69ht+O3ZI6DLtgyEmHISsV6QfWI/3Aeov1N95/EM6NusB/xELIis1FcEdBk8cyhgpVeQcjaOLb0GUkwpCbCaVXIAzabKRs+QLqYs1/3Fr1g2uL3tAl3wIUCqi8g5G2Zx0AGTQhLUo8Rsq/X8EpoCFcm0cBAHIuH4Lv4LmQq12hDmoMTUQ75Fw+CE291qXG6ijSc3SY8+1h/DCrG5yULBcvC5ODKnA1MQtPrTsKwabSRFUiLScfj6w+jB8f6Qq1UiF1OEQ17kRMGl7ZcFrqMOyGwtUbAWOXWCxP2/sjtDdOos79L0Hu7AGZXAHnhl2QfW4XdGlxUHoGADA2N8q5fBhKryAoXDzLdUylux9QMBJR6o5VkKk0cGt9j8V2MrkCKj/jEKQGbRYyjm2Ec6POZjUXReVeO47sc/8haNrHdxYKAZF3Zw4GkZcLPpSYOxaThtf/OoNFQ0tOusiIyUEl5ReMspKeq5M6FCK7cuJmGl7+7TSWjGoldShENSo9Jx+zvzvEgS2qkEzpBE2YZSl65oktgExuts6r5wTkXj6IuHWL4NV9LORqF2Qc34T8+CvwG/6M2eevLR0GTVhLBDx4J/FI2/cjFK7eUHr4Q5+Viuyz/yH7wl74DXnSbNhSfUFNhrpuc8idnJGfHIO0fT9BJpPB555HrH4PoctH0saP4Nl9HFRed9rQayLaI233WsjVLshPuYXca8fg0Xn0XZ8ve7V811V0jvDFwJbsf1AaJgeV9OG/F3DqFiekIaoO3+2/jl6N/XkhJ4fy9I/HcCOZA1tIReUdhIDxbyJ1+zdI2vgRYNBDVScC/qNfhEvBfAUmwgBhME/ihC4fabvWQpeRCLnSCU7BTREwdonliEJyBfLiLiPzxGYYcrOgcPOGS6Mu8Oz2YIm1E2m710KmUsMjcoTZcp/+DyF50ydI+P0tyJ1c4N13OpzD21byTNinBT8eQ/MgD4T5stlqSWRCsN7pbp28mYYRH++CjkMvElUbX1cnbHqiF3zdSmoHTGQ/vvrvMl7dcKbsDYnorrWq68lmq6Vgr4y7lKcz4Kl1x5gYEFWzpKw8vPALx3gn+3ctKQvLNp6TOgwiu3fiZhre2XRe6jBsFpODu/TBvxdwLi6j7A2JqNL+Onkbvx69KXUYRNXqxV9OIjef/QyIasJX/13BmVg2C7eGycFdOBGThs+2XZI6DCKHsui3U0jM1EodBlG1+PXoTezgPDlENUZnEJx5vARMDiooT2fAUz8cZXMiohqWmp2Pl387JXUYRFUuLScfi9nPgKjGHb6egu/2XZc6DJvD5KCC3tt8HufjOFslkRR+Px6LLWfipA6DqEq98dcZJLBWjEgSb/59Fkn8+zPD5KACTt9Kw+c7LksdBpFDe+GXk8jUcl4Rsg8HryZj7YEbUodB5LDScvKx5E/W3BXF5KACXt1wBno2JyKSVGxaLt7bzFEmqPbL1xvw3PoTnMiWSGI/Hb6JvZeTpA7DZjA5KKeNp25jD39xiGzCyt3XcC0pS+owiCrlfzsus5kqkY14fv1J5HFWcgBMDsolT2dglRORDcnTG/Dm32elDoPorl1PysYH/16QOgwiKnApIRNfsOk4AEApdQC1wYrdV3EtKbtGj5n4x7vIOrmlxPWBE96Cum5Ts2VCCMR99yy0Mafg3v5e+NzzSKnHMGizkXHod+RcPYL85BiIvFwoPQPg2qIPPDoOg0zpZPGZvISrSNu1BrnXT8CQlw2Fqw+cG3SE74DZpm1yb5xE8uYvoEuNhVOd+vCJngMnvzCz/SRt+hT5idcQMPZ1yGSy8pwSIjN/nriNg1eT0THcR+pQiCrsxV85pwGRrflo6wUMaxOMMF8XqUORFJODMiRlavGRBKU7nt0ehHvbQRbL4396BTKFCk5BjSzWZRzeAF1qbLmPoUuPR/rBX43JQORIyJw00N44hbRd3yH36hHUGbPY7ME999pxxP/4MtQhzeETPQcKZw/o0hOQF3dnzgdDbiYSfn4NLk26wbv3VGQc+g0J65cgePrHkMmN05Rrb55F1ol/EDTlfSYGVCmv/XEG6+d0lzoMogrZejYe288nSB0GERWTm2/Aot9OYfnUSKlDkRSTgzK88895pOfW/MgoKu8gwDvIbFnu9RMw5KTDs+sY04N2IV1aHFJ3rITfvU8gYf2Sch1D6RmIurO+htxJY1rmXK8NZCoNUrd9De3N09CEtAAAGPJzkbjhLWjqtYb/6P8zf6hv2df0X+3NsxD6fPjc8whkCiVUfmG4+clk6FJuQeUbCqHXIWnjR/DoPBoq39CKnhYiM0dupOL3Y7cwtE2w1KEQlRs71BPZrq3n4h2+Vpp9Dkpx7naGTQ0xl3l8EwAZXFvfY7Eu6e+PoAlvC5fG3cq9P7mTxiwxKKQObgwA0Kffma0z++wu6DOT4dFpVKml/UKfB5lCBZlCWXAMZ+NyXT4AIH3/zxB6HTy7PFDuOIlK8+bfZ6HV6aUOg6hctpyJw7GYNKnDIKJSvL/FsfsDMTkoxWt/nLaZoUsN2ixkn9sNTb02UHkFmq3LOLYR2tjz8Ok/q0qOlXvtGABAVaSfQO4N4xTjQhhwe/UCXFs2AjfeG4OE35ZCl3FnFCenwEYw5OUg48ifMORmIm3POsidPaD0qYv8lFik7fkevgMfhUypqpJYiWJScrD8v6tSh0FULu9tduyHDqLaYOeFRBy+liJ1GJJhclCCg1eTseNCYtkb1pCs09shdFq4Fas10GUkImXr1/DuPRVKd99KHycv/grS9/0M58Zd4VQnwrRcn2lMABLXL4E6pBkCHngFXr2nIPfqUcSteRaG/FwAgNLDHz79H0Lyli9w4/0HkXH0L/gOmgu5So3kjR/DtVkUNKEtKx0nUVEfb72IlKw8qcMgKtU/p+Nw4iZrDYhqA0euPWCfgxJ8vPVS2RvVoMzj/0Du7GHRbCh548dwqhMBtzbRlT6GLi0O8T++AoWHH3wHPm6+smCWHpdmPeHdeyoAQFOvNRSu3kj4eTGyTm+He0EM7u0Gw7VFX+gzEqD0DIRMqULmyX+Rl3AVfiOehT4nA8mbP0PulSOQq13g0WkU3NsNrnT85LgytDp8s+cq5vVvLHUoRCViXwOi2mP7+QQcvZ6CtmHeUodS41hzYMWZ2HRsPRcvdRgmefFXkHf7Alyb9zZrjpN19j/kXDkM795TIbRZMORmwpBrnFBH6HUw5GZC6MvXmVqXFo/ba56DTC5HwJjXoHB2N1svL3jvHNHebLnxvcxsxCLA2J9B5RsKmVIFfU46UrZ+BZ9+M6HQuCFlyxcw5GSi7sP/g9+wBUjZ+jVyrx2v6GkhMvPN7qvIyWPfA7JNm07dxqlb6VKHQUQV8J6D1h6w5sCKT7ZelDoEM8aOyIBbmwFmy/MTrwEGPW6vesryM8c2IvPYRviPfB4ujbuWun9jYrAQEAIB496A0sPPYhsn/3Bkn9lR4j5K66Sc8u9XcApoCNfmUQCAnMuH4Dt4LuRqV6iDGkMT0Q45lw9CU691qXESlSYlOx9rD1zH1O4RZW9MVMPY14Co9tl2LgHHbqSiTaiX1KHUKCYHxVxJzMIfJ8o/V0B1E7p8ZJ3aBqegxnDyDzdb59aqPzRhrSw+E7fmOTg36gKPjsOg8qtX6v516QWJgcGAgHGvQ+lZx+p2Lo27InXHKuRcPmTWtCnn8kEAAk7BTa1+LvfacWSf+w9B0z4u8qUERF7unbd5uaZmS0SV8eXOK5jYpR6UClaKku34++RtnI5lrQFRbfTe5gsON+8Bk4NiPtt+CTYyQBEAIPvCHhhyM+DWerLFOqVnAJSeAVY/p3T3hSbMvCT+2tJh0IS1RMCDxnkQ9FmpiFvzHPSZyfAd9DgMWanQZqWatle4+5lqEVS+oXBvfy8yjvwJmZMznOt3hC75JlJ3roJTQAO4Nu1hEYPQ5SNp40fw7D7ObIQlTUR7pO1eC7naBfkpt5B77Rg8Oo+u8LkhKu5mag5+PXYLo9uHSB0KkQn7GhDVXlvPxTtc7QGTgyJi03Kw/vBNqcMwk3n8H8hUGrg261X5nQkDhMFgepufdB261NsAgKQNb1ts7tl9LLx6jDe99+43Ewp3P2Qe34iMQxugcPGAS7Ne8O41CTKF5dCkabvXQqZSwyNyhNlyn/4PIXnTJ0j4/S3InVzg3Xc6nMPbVv77EQH4fPslJgdkM/46GYuztzOkDoOIKuGDfy/gq8mOU3sgE4LtOQq9uuE0vvrvitRhEFElfTm5I/o3s16rRlST7vt0Nw468HjpRPbij8d7oEWwp9Rh1Ag2zC2QlpOPNfuvSx0GEVWBT7fZ1lDE5JguxGUwMSCyE9/tc5xnRCYHBX45chPZHAaRyC4cupaCI9f5UEbSWnvghtQhEFEV+e3oLYcZLpvJQYHveREnsiv8myYp5ekMWH/EtvqwEdHdy9Dq8OdJ2xnNsjoxOQBwPCaVw8wR2ZkNx2MdppSHbM+mU7eRnJUndRhEVIXWOUihE5MDOM4Pm8iRZDpQKQ/ZHjYpIrI/+64k40piltRhVDuHTw5y8vT47dgtqcMgomrww0E+oFHNu5GcjV2XEqUOg4iqgSPcVxw+OfjzRCzSc3VSh0FE1WDflWRcS7L/Uh6yLd8fvMFJ34ns1I+HYqC3pdlyq4HDJwffO0AGSOSohDBeyIlqit4gHKJkkchRxWdosfVcvNRhVCuHTg4uJ2Ri/5VkqcMgomr006EYGOy8lIdsx79n4xGXrpU6DCKqRvbeV9WhkwOWKBLZv1tpufjvItt/U834/oDjTJRE5Kj+PRuPhIxcqcOoNg6dHGw8dVvqEIioBvx8mOPNU/VLzsrD1nMJUodBRNVMZxD4yY7vKw6bHFxKyMSlBHZUJHIEW8/FQ6c3SB0G2bnt5xPsvqMiERn9ecJ+h8p22OTgn9NxUodARDUkLScfh66lSB0G2bmtZ+27kyIR3XHiZhoSM+2zf5HDJgebmRwQOZTNZ/jgRtVHbxDYcYFNiogchRDAjvP2+TfvkMlBYqYWh6+zFJHIkWw5wwIBqj5HrqcgNTtf6jCIqAZtZ3JgP/49Gw82CyVyLJcTsxxi2nuSBjsiEzmeHecT7HKobIdMDtjfgMgxsfaAqss2O58UiYgspWTn43hMqtRhVDmHSw5y8vTYyXahRA5pC/sdUDWIS8/FqVvpUodBRBLYZodNixwuOfjvYiJy8zmkIZEjOnA1Gek5bBdOVWsraw2IHNY2O2xS6HDJwe5LnCmVyFHpDMJuR5cg6Ww9y98pIkd1PCYVyVl5UodRpRwuOdh/JVnqEIhIQvuv8hpAVSdPZ8Cuiyx0InJUBjsc0tShkoP03HyciWW7UCJHxmGMqSoduJqMTK1O6jCISEL21rTIoZKDg1dTOIQpkYM7G5uBnDy91GGQndhzOUnqEIhIYvY2AaKDJQdsTkDk6HQGYZdDz5E0jt1IlToEIpJYclYeridlSx1GlXGo5IDNCYgI4LWAqs7xmDSpQyAiG3DajpqtO0xyoDcIXsSJCABw+Hqq1CGQHcjIzUfbEE/IHeZOSkQlOR1rP8+YSqkDqCnn4zKQzXbGRATg8DXWHFDluWtU+GZ6ZwghkKXVISYlBydupmHnhQRsOZOArDx2VCZyFKftaCJEh0kOjrCkkIgKJGXl4VpSFur5ukodCtkBmUwGN40KTYNUaBrkgfs7hkIIAa3OgNi0XJyNTcfuS4nYeOo24jPsazx0IjJiclALnbplP9U9RFR5h6+nMjmgaiOTyaBRKRDh54oIP1cMahWEV0e0Qr7egIQMLS7EZ+DAlRRsOn0b5+MypQ6XiCrpVlouUrPz4OXiJHUoleYwycHFeF58ieiO07fSMbJdXanDIAejUsgR7OWMYC9nRDWug/nRTaA3CKRk5+FyQhYOX0/Bv2fisP8qm74R1TanY9PRrYGf1GFUmsMkB5cTsqQOgYhsyJVEFhhQJWjTgdjjQGArQONZqV0p5DL4uanh56ZGpwgfzIpqACEE0nN1uJ6UheMxadh+Ph7bziciT2eooi9ARFXt9C0mB7VGem4+EjK1UodBRDbkSiILDKgSbhwAVo8CZDLAKxwIag0Etr7zr3tgpXYvk8ng6axCqxAvtArxwvgu9SCEQHaeHrdSc3D6Vjr+u5SIf07fRmo2Oz4T2QJ7Gc7UIZID1hoQUXHXk7OhNwgo5DKpQ6HaKP608V8hgJQrxtfpX++sd6tTkCy0uZM0+NSv1CFlMhlc1Uo0CnBHowB3DG9XF0K0Rp7egLh0Lc7dTse+K8n462QsbqbkVupYRFRx9tIp2SGSg0sJbD5AROby9QIxKdnslEx3pzA5KElmPHBxs/FVSO0BBLY0r2HwbwooVHcdhkwmg1qpQJiPC8J8XHBP80C8cG9z6PQGJGXl4VJCJg5eTcY/p+Nx4iYH5iCqTpcSMqHV6aFWKqQOpVIcIjlgzQERWXMlkcOZ0l2KP1Pxz2jTgWu7ja9CSjXg38y8WVJAS8Cpcr+XSoUcAR4aBHho0K2BHx7v1xgGIZCWnY+rSVk4eiMV287GY+elRBjYjYGoSuTrBS7GZ6JFcOX6IUnNQZID1hwQkaUriVno3UTqKKhWSrlaNfvRaYHYo8ZXIZkc8G1g2SzJxbdSh5LLZPB2dYK3qxPahXljavcICCGQaTGBWxyy85gxEN2NW6k5TA5qA9YcEJE17JRMd8WgA3JTq2//wgAkXjC+Tv50Z7lHXWOyULSWwTO0UoeSyWRw16jQLEiFZkEeeKBgArdcnQG303JwJjYDuy8aJ3BLyOQEbkRlScio/QPg2H1yYDAIXE3iAwARWWJyQHclO8nYEbmmpd80vs79eWeZs7d57UJga8CvkbH24S7JZDI4qxSI8HNDhJ8bBrcKwqsjWiJfL5CYqcX5uAwcuJKMjadu4yIL34jMMDmoBZKz86DluNBEZAULDuiuZCVIHcEdOSnA5W3GVyGVCxDQwjxpqNPc2L/hLslkMjgpZaYJ3Ho3qYOnBzY1TuCWlYfLiZk4fC0VW87G4QAncCMHxuSgFkjJYjUoEVmXxGYSdDeyEqWOoHT52UDMAeOrkFwJ+Dcxr2Goqgnc3NXwc1ejU4QvZvXmBG7k2OxhXi27Tw6Ss3nzJyLrsvP0djHsHNUwW6o5KC+DDog7ZXwdW2NcJtEEbqdupeO/CwnYdDoO6bmcwI3sC2sOaoGUrHypQyAiG5aanY8ADyYHVAG2XnNQXuWewK0N4BNRqUMVn8BtRLu6EEIgT2dAXHouzt7OwL7Lyfj7NCdwo9qNNQe1QHJW7f8hEVH1MSYHGqnDoNrEXpKDkpQ4gVsr81oG/6bG5kp3SSaTQa1SIMzXFWG+rhjQIhAvDjVO4JaYWXQCtzictJOZZ8n+JWbU/hYrDpAcsOaAiEqWyqaHVFG1sVlRZWnTgWu7jK9CSrWxo3PRJkkBLapkArdATw0CPTXo3tAPc/s3hsEgkJpTMIHb9VRsPRePXZzAjWxQTr4eGbn5cNfc/cznUrP75CCFN34iKkVKNgsQqIIcMTmwRqcFbh0xvgrJ5IBvw4JkocicDC4+lTqUXC6Dj6sTfFyd0D7MG9N6cAI3sl0JGVomB7YsmaMVEVEpWIBAFZZt582KKkMYgMTzxteJH+8s9wwxr2GogQncTt1Kx+5LSdh06jYSOTIZ1aCETC3q+7tJHcZds/vkgEOZElFp2KyIKsze+xxUh7QY46voBG4uPgVDqlbfBG5DWgfjtYIJ3BIytDgfn4H9BRO4XeYEblRNavuIRXafHKTmsMkAEZUslc2KqKLYrKhqZCfX6ARudb2dUdfbGX2a1MEzBRO4JZsmcEvBljPxOHiNE7hR5WVp9VKHUCl2nxzo2FuJiEqRwXHWqSJ0WkCbIXUU9qvECdyaFpuPoZVxBKVKUMhl8HdXw99djc4Rvnikd0MYhEBGbj6uJWXj2A3jBG47LnACN6oYfS1/9rT75EAIqSMgIlumM/AiQRUganeJYK1k0AFxJ40vfGdcJpMB3hGW/RjcAip1KLlMBk9nJ7QOcULrEC9M7MoJ3Kjiavt9hckBOYTBrQLRpb6v1GGQDWpYizuNkQTktXcEErsiBJB82fg6/cud5W4BliMl1cAEbrfTOXEb3dEpvHKjc0nN7pMDA7MDAvBwrwZoE+oldRhEVNspmBzYtMw44MI/xlehGpjAjcie2H1ywNyAAMDZSSF1CERkL+RKY1MXqh3KO4FbYEtjh2giB2f3yQFrDggA1Mq7HxqPiMiMQsXkoLarwQnciGobu08OmBoQAKiVrDkgoipSieYoZMPKPYFbG+MyIjtl91c4wZoDQgk1B5e3G9unkmPzqQ+EdJQ6CqpNmBw4lhIncCuoXfBvwo7qZC64nXFCv1rK7q9wzA0IAFQKK8nB1teAG/tqPhiyLR2mMDmgimGnZMpOBi5vNb6Iirv37VqdHNh9Q2yrD4XkcJQKmeXC/OyaD4RsD0uBqaJYSkxEpanl9xW7f3L2cK7dPyCqGkq5leQgL6vmAyHbU8sv4iQB1hwQUWlq+X3F7pMDT2dexMk466WFvMyaD4RsDx/0qKLkHOCAiErB5MC2MTkgALCWG7DmgAAAGi+pI6Dahs2KiKg0Gg+pI6gUJgdk95Ry42yWFtjngADAPVDqCKi2YW0TEZXGPVjqCCqFyQHZPW8XJ8uFeZkcyoqM3IOkjoBqG6Va6giIyJbV8kInu08OPJgcODxfdys38jzWGlABDyYHVEG1vFSQiKqRXAm41ZE6ikqx++SANQfka7XmgP0NqABrDqiivEKljoCIbJVbACCr3Y/XtTv6cmByQCU2KyJSagBnb6mjoNrGK0zqCIjIVtlBbTSTA7J7Xi5WfgdYc0BArW8XShLxZM0BEZXADmqj7T45CPZyljoEkpgXmxVRSZgc0N1gzQERlYTJge0L9nKGWmn3X5NKYXWWbCYHBNjFRZwkwOSAiEriUfsHLHCIp+YwHxepQyAJeWisNCvKZ3JAYM0B3R2Np/FFRFScHRQ6OURyEO7nKnUIJCE3DWsOqAR2cBEnibD2gIissYP7ikMkB6w5cGyuaiYHVALWHNDdYqdkIrKGoxXVDuG+rDlwZK5OCsuFHMqUALso4SGJsOaAiKyxg/uKQyQH9XxZc+DIXJxYc0Al8K4ndQRUWzE5IKLi1O7GVy3nEMkBaw4cm0ZlreaAyYHDc/EFvJgc0F1ickBExdVpLnUEVcIhkoO63s5QKWRSh0ES0ais/JozOaDgtlJHQLUZkwMiKq5uB6kjqBIOkRwo5DLWHjgwtZI1B2RFcHupI6DazCcCkLHQiYiKYHJQu7QN9ZI6BJKIk7VJ8JgcUHA7qSOg2kztAfg2kjoKIrIlTA5qFyYHjkspt1K6x9GKqC5rDqiSQjpKHQER2QoXH2ONoh1wnOQgzEvqEEgiSmv9TVhz4NjcA+1iuDmSmJ2UEhJRFbCjpqoOkxw0CXC33jGV7J7Cas0BkwOHZkcXcZJQXdYcEFEBOyoscJinZaVCjlZ1PaUOgyQgt9ZpMJ/JgUNjfwOqCgEtAKVG6iiIyBYwOaid2oZ6Sx0CScDqeCKsOXBsTA6oKihUQFBrqaMgIlvA5KB2Yqdkx+PiJIeseM2BQQfotNIERLaBnZGpqoR1lToCIpKadzjg6id1FFXGsZIDdkp2ON6uTpYLOVKRY/MKM86OTFQV6nWXOgIikpod1RoADpYc1PVyRh13tdRhUA3yc7Xy82aTIsfGzshUlep1BeRWJlokIsdhZ7XRDpUcAEDPRvZT7UNl82FyQMWFdpI6ArInag8gsI3UURCRlFhzULv1aVpH6hCoBnm7qiwX5mXXfCBkO5oMljoCsjfhbFpE5LBULkBQW6mjqFIOlxz0auxvfcZcskvezuxzQEXUaW43M1iSDQnvIXUERCSVhv0AlbPUUVQph0sOPDQqdAznkKaOwtNFabmQzYocV9N7pY6A7FG9bux3QOSomg2TOoIq53DJAQD0acKmRY7CXWOtWRGTA4fVdIjUEZA9UnsAEVFSR0FENU3hBDSOljqKKueQyUFf9jtwGEwOyMQzBAhuK3UUZK9ajpI6AiKqafWjAI2n1FFUOYdMDhoFuCPE277ah5F17morVf3sc+CY2KSIqlOzocZSRCJyHM2GSx1BtXDI5ABg0yJH4aq20ucgn6MVOSQ2KaLqpPEydkwkIscgVwBN7XP0O4dNDti0yDG4WEsO2KzI8Th7GzuNElWnlvdJHQER1ZR63QEXX6mjqBYOmxx0a+gLD42VB0eyKy4qNisiGDuMyfn3TtWsySDjmOdEZP/scJSiQg6bHKiVCgxqFSR1GFTN1FaTA9YcOBw2KaKa4OQKNB4odRREVN1kMqCZ/d5XHDY5AICR7epKHQJVM43Syq84kwPHonJmW3CqORy1iMj+hUQC7vZbwOzQyUGX+r4I9tRIHQZVIyeryQGbFTmU+r3Z1INqTqMBxnkPiMh+2XGTIsDBkwMAGMHaA7tmPTngaEUOpeVoqSMgR6JUc9hcInvH5MC+3dchROoQqBopFWxW5NBc/YDm9jkONdkwJqRE9iu4PeBdT+ooqpXDJwf1/d3QKcJH6jComijlMsuFbFbkONpO4MRUVPMa9AFceF8hskuR06SOoNo5fHIAAGMiQ6UOgaqJXGYtOWDNgUOQyYCOU6WOghyRXAk0HyF1FERU1Zy9gVb3Sx1FtWNyAGBwyyC4W5ssi2o9axUHTA4cRIN+gHe41FGQo4qcIXUERFTV2k8ClPY/kA2TAwDOTgqMZt8Dx5HP5MAhdLT/ql+yYQEtjCMXEZF9kMmByOlSR1EjWFxeYEbPCKzaew16g5A6FKoiXi5KyIo3K9LlAgZ9tR/73ys6rD6ej9039LiRboCXRoaOwQr8Xy81OgTfmZhtyi85+OZYvsXnm/jKcfZRt1KPcTXVgIj3S+4/Ed1Agb8nuFpdt/myDvesMo7alPC0G/xc7pQT7Limw9y/c3Ex2YB2gQp8NkSD5v7mk8nN+SMHJxMM2DbZxfIc2wLPUE5GRdLrMQ+4sEnqKIioKjSOBrzsuyNyISYHBUK8XXBvqyD8duyW1KFQFfFzVVsurKEmRZ8ezENStsDczk5o7i9HQrbA23vy0OWrLGyc4IK+EXf+9JyVwL+Tzcfhd1aW/cAd5CbDnumW4/f/claHN3flYWRTldXPZeYJzPw9B8HuMtzKME+GU3MFRn6fg9HNlFjaX4MP9udh1Pc5ODXbFYqCNlp7Y3T4+mg+jjzsapuJAQB0mQXIrcyOTVST6nU3TpYUc0DqSIiosjo9JHUENYbJQREPR9VncmBHfNysjFJTQyMVfTxYgzqu5q32BjZUouEHmViyU2uWHMhlQJeQiv8pqpUyq59buEULFxUwtpX15ODZzbnw1shwbyMlFu/MM1u354YOWp3Ax4M1UClkaFFHjrrvZOJCsgFN/RTI1ws89HsununuhKZ+NvrwrfYwtgslsgU95gFrx0sdBRFVRkALoEFfqaOoMexzUESLYE/0aOgndRhURbydrSUHNVNzUDwxAAA3Jxma+8txI736mq5dSjZg+1U9HmihgofaslR/5zUdvjiUjy+HOcPaFBC5OmPSoVLITDEXLgeAt3bnIU8PLOxhpVbGVrSfxBlqyXY0HQL4NZY6CiKqjG6PSx1BjWJyUMzDUfWlDoGqiLerdMmBNWm5Aodj9Wjhb/5nl6MDAt/KgOKVdIS8k4FH/8xBcs7dJRBfH8mDADCjnWWtQU6+wPTfcjGvixPaB1kv9e8YrECGVuDTA3lIzRVYslMLX2cZmvjKcSnZgMU7tfhiqAbqcjR7koRcaWxSRGRLujvWgwWRXfEMBVrdJ3UUNYrNiorp2cgfLYI9cOpWutShUCV5uVhpViNhcjDnz1xk5QPP97xT6t4mQI4296jRso7xYX37NR3e3ZuHLVf0ODDT1VRyXx56g8A3x/LR1E+O7mGWf9ovbtVCLwRe7l1yqX+opxzvD9Rg3sZczP4zF55qYOVIZzirZJj1RzbGtlShVz0bvmw0H268kBPZktZjgK1LgHQ2WyWqdbrONhY8ORDH+rbl9FCv+pi79qjUYVAleTrbTnLw4r+5+PZEPj4cpDEbreiJruYP6vc0UKJdoAL3/ZCD/x3Ks1hfmr8v6nAzQ2BZF8sak/039Xhvbx7+nuACZ1XpCccjkU6Y1EaFG+kGRHjJoVbKsOpYHo7HGbDuPhck5wg89lcONl3Sw0MNPN1NjVkdbWAWYpkM6D5X6iiILCmcgC6zgU0vSB0JEVWEszfQfrLUUdQ4Niuy4t5WQQjxdpY6DKokD41tJAcvb9Ni8c48vNZXjUc7lf0QPbKZEq4qYO/Nig25+tWRfKjkwKQ2lt972q85GNVMiY7BCqTmCqTmClM/gnQtkKE1b8bk6iRDUz8F1EoZkrINeGqTFu9Fa+DtLMPcv3ORnCNw8TE3rB3tgvmbcrH1iq5CsVaLFqOAoDZSR0FkXYcpgMZL6iiIqCI6zQScrA8Jbs+YHFihVMjxWN9GUodBleSusVIxVsPJwcvbtHhpuxYvRanxXM/y1wIIlDC7cwniswzYcF6HYU2UVjtDn0ow4IfTOni/mWF6vbnLOFJRgw8y0XN5yeflqU1adAiWm0Y/+uuCDrM7OsFTI0NkXQUGNFDizwsSJwdKNdB/kbQxEJVG7c5Zk4lqE2dvY42fA2KzohLc3yEEy3ddwdnbGVKHQnfJVW0tOaiZoUwB4NXtxsTghZ5OWFRKO//ifjytQ3Y+0KVu+YcKXXksH/kGYLqVjsgAsHWy5XwIK47m45tj+fhljDPqelgvJ9h6RYcfTufj5CN3JmQTALKKzNuWmScg+dSBnR5ymMlpqBbrMgvY85FxMkYism29nzUmCA6IyUEJ5HIZFg5qisnLOXlNbWU9OaiZmoO3d2vxf9u0GNhQgXsbK7E3xrxkvUuIEtdSDRj3cw4ebKFCQx8ZZDIZtl/V4b19eWjhL8eM9uZNkJSvpCMqXIEtkyyrOL86ko9QDxmiG1r/k+4dbrl821VjTN3DFGYzJBfS6gQe3pCLl6LUiPC+sz66gQKvbNfCQw1cSDJgyxU9FnSXcGhTZ2+g13zpjk9UXq7+QMepwN5PpY6EiErj38Sha/qYHJQiqkkd9Gjoh/8uJkodCt0FZ5WVkvcaSg5+P2988P77oh5/X8y2WC8WecBDLUOAqwzv7NUiLlNAL4B6nnI83skJz/VUw7XYSEV6AegNlsfafUOHs4kG/F8vJ8ircMbixTuMk6k90dU8SXl/oAaz/8zFuJ9y4KGW4Z0BavSvL+GlJGoB23JT7dF7IXDiRyArQepIiKgk0UscboSiomRCCMlbBNiyM7HpuPeDnTDwLNU6/zzRC40C3M0X/vEUcOBLaQKiqudTH5izzzgaDFFtcfRb4BfHbMtMZPMa3QOM/1HqKCTFDsllaBbkgVHtQ6QOg+6C2mrNQc31OaAa0G8REwOqfdqOB0I7Sx0FERUnVxprDRwck4NyeGpAY2hUPFW1jUZp5Wcm4SRoVMVCOwEtRkgdBdHdufctQF7+QQeIqAZ0mgn4NZY6CsnxibccgjydMa17hNRhUAU5MTmwbwMWSx0B0d0LbA10nCZ1FERUyMUHiHpW6ihsApODcnqkdwP4u0s4IgtVmFJhLTlgsyK70Hw4m2VQ7df3BcDVT+ooiAgA+jwPOHtJHYVNYHJQTu4aFV4d3lLqMKgClNZmEWPNQe2nUAH9X5I6CqLK03gB/V+WOgoiqtMM6DBV6ihsBpODChjYMhCDWwVKHQaVE5MDO9XtceMoRUT2oN0EICRS6iiIHFv06+wDVASTgwp6eVhLeLlYn4WWbIucyYH9CWxtnLWSyJ7c+zYg4+2YSBJNBgEN+kgdhU3h1aiC/N3VeHFIc6nDoHKwOh0Yk4PaS6kGRn3BoUvJ/gS1YedkIiloPIFBb0odhc1hcnAXRrcPQe8m/lKHQaVQygFZ8dmChQHQ5UgTEFVe3xeN7UKJ7FHfFwEXX6mjIHIsQ94FvOpJHYXNcdy5oSvptZGtEP3uDmRqdVKHQlb4ulkZWSovC+CE4LVTeE+g22NSR0FUfZy9gEFLgZ+mSx2JTdt2VYc+32RbXbdnugu6hBgfaz7Yp8V3J3S4mGxARp5AgKsM3UIVeLGXGi3qlK9t+ebLOry4VYtjt/VwUckwpLESS+9Ro46rebnqC//m4uhtA47c1uNWhsDkNiqsGOFssb8d13SY+3cuLiYb0C5Qgc+GaNDc3zyWOX/k4GSCAdsmu1gWcFHVajsOaDla6ihsEmsO7lJdL2c8M7Cp1GFQCXxdrTQ9YZOi2kntAYz8VOooiKpfq/uANmOljqJWWNJXjT3TXcxeLYs89CdlCwxqqMSXwzTYNMEFL/dW48htAzp/mYVzifoy97/9qg6Dvs1GgKsMvz7ogvcHarD5sg79VmZDqzMvZHp3bx6ScgSGNVbCqYS8IzVXYOT3OYgMVuDnB1zgqZFh1Pc50Bvu7GtvjA5fH83H50M0TAyqm28DYPAyqaOwWaw5qISJXevhzxOx2HM5SepQqJgSaw6o9hm8FPAMlToKoppx71vAjX1A8mWpI7FpjXzlploCa17uozF7HxUOdAlRoPknWfj2RD5e6VN67cHT/+Sisa8cPz7gbBr5LsJbhu5fZ+PrI/l4JPJOAVTGQnfICx7mVx3Pt7q/PTd00OoEPh6sgUohQ4s6ctR9JxMXkg1o6qdAvl7god9z8Ux3JzT146g51UqhAkZ/BTi5SR2JzWLNQSW992Bb+Lmxg6St8bY2olQ+k4Nap/lwlqSSY3FyA+772vgAQ1XK39X4AG91mOsibqYbcOCWARNbq8y27RaqRGNfOdafNU8A5OUo5c/VAWqlDCqFcVs3J5lpOQC8tTsPeXpgYQ9Otlrt+r4IBLeTOgqbxuSgkgI8NHj/wXYo41pDNcybzYpqP7cAYMh7UkdBVPOC2xkfYKhEc/7MhfKVdHi8no7o1Vn477r1/n96g4BWJ3A2UY8Zv+WijqsMU9uWnnidjDcAAFoHWD4itQ6Qm9ZXRMdgBTK0Ap8eyENqrsCSnVr4OsvQxFeOS8kGLN6pxRdDNVAr+TBRrer3BrrPlToKm8dmRVWge0M/zO3XCO9uviB1KFTA09nKxZ/JQe0y/CPAxUfqKIik0X0ucHkbcOlfqSOxKZ5qGeZ2dkLvcAV8nWW4mGzAst156L0iG3+Mc0F0Q/PHGtclGdAWdDFo7CvHtskuCPUsvVw0KcfYD8DH2fJB3UcjM62viFBPOd4fqMG8jbmY/WcuPNXAypHOcFbJMOuPbIxtqUKvenwkq1YuvsDIz6WOolbgb2IVeaxvIxy8loKdFxKlDoUAuGus/GozOag9Ok4DGg2QOgoiaY36Avi8F5B+S+pIbEa7IAXaBd1pk9+zHjCymQqtPs3Egs25iG5o3o5893RX5OkFLiULvLtXiz7fZGPLJJdyjVhUUhn+3ZbtPxLphEltVLiRbkCElxxqpQyrjuXheJwB6+5zQXKOwGN/5WDTJT081MDT3dSY1ZHNlqvM8I8B90Cpo6gV2KyoisjlMrw3pi0CPTRlb0zVzkNjreYgs+YDoYoLbAUMWCx1FETSc/UH7v+G/Q/K4KWRYUgjJY7HGZCTb16q3z5IgS4hSoxvrcLWya4QAJ77V1vq/nwLagys1RAk5wqrNQrl5eokQ1M/BdRKGZKyDXhqkxbvRWvg7SzD3L9zkZwjcPExN6wd7YL5m3Kx9QqHS68SnWYaZ0KmcmFyUIV83dT4aFy7Mjs7UfVzt5ocsObA5rkHAePWAU6uUkdCZBtCOwHRS6SOwuYVPsaX1jfYXS1DUz85zieV3megZR3jo9GJOMvtTsQZTOsr66lNWnQIlmNsK+P96q8LOszu6ARPjQyRdRUY0ECJPy8wOai0Os1Z4FRBTA6qWMdwHzwd3UTqMByeq9pKlXGe9YlzyEY4uQLjvgc8gqWOhMi2dHoIaHW/1FHYrJQcgQ3ndWgbKIemlA69idkGnIjTo6FP6Y8+dT3k6FRXjtUn8i3mITiXZMCoZpWvydl6RYcfTufjk8F3JksTALKKDISUmSfAaTsrSeMF3L8CULJVR0Wwz0E1eDiqAU7cTMOG47FSh+KwXJ2s9TlgsyKbJZMDo78EgtpIHQmRbRr2ARB3Cog/LXUkkhr3UzbCPOXoGKyAn4sMF5IMeHtPHuKyhGlW4rRcgXtWZWFcKxUa+cjhrJLhfJIB7+/Lg1YPLIoyHy5U+Uo6osIV2DLpTo3lm/01uGdVNu7/IQezI50QnyXw7OZctKwjtxjtaPtVHRKyjY/xegFcSzPgx9PGp/yoegr4F5tRWasTeHhDLl6KUiPC+8666AYKvLJdCw81cCHJgC1X9FjQnUOb3jWlGhj7HeDPAtuKYnJQTd5+oA3iM7TYfyVZ6lAckou1aSrZrMh2DVgMNBksdRREtkvlAjz4HfD1ACAzXupoJNM6QIHvT+Xjs4N5yMwzjijUI0yBVSOdEVnXeN3XKIE2AQp8cSgfN9INyNUBgW4y9A5X4qcHnNHc3/z+oBeAvlgLot7hSvw5zgX/t02LoWuy4aKSYUhjJZbdo7YYbnTRNi22X7sz6/K2q3psu5oDANg62QW9iyUHi3do4aICnuhq3tn4/YEazP4zF+N+yoGHWoZ3BqjRvz4f0+6KTA6M+h9Qr7vUkdRKMiEEa62qSVpOPkZ/uhsX41liXdO2PBWFBv7FZj/87XHg8DfSBEQli5wB3Pu21FEQ1Q63jwMrhgC5aVJHQmS7Bi0FOj8sdRS1FvscVCNPZxVWTI1EHXdWC9Y0jdJazQGTNJvTsL/xIk5E5RPY2tg3R+Vc9rZEjqj7XCYGlcTkoJqFeLtg+dRIuFpr5kLVRq208qvNZkW2JaCFsaOYnH8bRBUS1hV4YCWHOCUqrvUY4J5XpI6i1mNyUANaBHvi0wkdOMRpDXKylhzkc7Qim+EWYCz9VLtLHQlR7dRoADDiM2PbaiIC6vcxTnRGlcarSg3p1dgfS0a1kjoMh6FUWEnE2KzINqhcjImBZ6jUkRDVbq3uAwYvkzoKIukFtgbGrGJtWhVhclCDHugYivkDOKRWTVDK2azIJilUxiFLg9tJHQmRfYicAfR5XuooiKTjVQ+Y8CNroqsQk4Ma9mjfhkwQaoDCWhMuJgfSUqiMfQya3it1JET2JWoB0GW21FEQ1TwXH2DCT8amqlRlmBxI4NG+DfHsoKZSh2HXrHbvYHIgHYWTsQNl0yFSR0Jknwa+DrQZK3UURDXHyQ0Y+z3g10jqSOwOkwOJzIpqgBeHNJM6DMfCPgfSUKqBMas5yRlRdRv+EWvmyDE4ewOTfgVCO0kdiV1iciCh6T3q46VhLaQOw+64OikhkxWrOtDnG19Us5RqYMy3QONoqSMhsn9yJXDfcuNIRkT2yi0AmPIHENJR6kjsFpMDiU3pFo7XRrRE8WdZunt+7k6WC9mkqOY5uQHj1gGN7pE6EiLHoVQDY9cCHaZKHQlR1fMKA6b9bZwnh6oNkwMbML5LPbw+qhUThCri62plRmo2KapZLj7A5N+A+r2ljoTI8cgVwND3gH6LwBsL2Q2/RsbEwKe+1JHYPSYHNuLByDC8P6at9Zl9qUJ8XK2Mc8yag5rjUReY+jdQt4PUkRA5tp5PAiO/MA4IQFSbBbc33lc86kodiUPgk6gNGda2Lr6d0Rm+rryQV4aXM5MDyfg2BKZvBPw5XC+RTWj9ADDxZ0DjJXUkRHencTQwZQPg6id1JA6DyYGN6Rjug1/mdEfDOm5Sh1JreVlLrtisqPoFtwembeTMx0S2JrynMWnn3ybVNh2nAQ+uAZxcpY7EoTA5sEGhPi74eXY39GrELPlueFqrOcjPrvlAHEn7ScC0v1iyQ2Sr/JsCMzYDQW2kjoSobDKZsc/MkHeNfWioRjE5sFEeGhW+nhKJCV3qSR1KreOhYbOiGqPUAMM+AoZ9aPw/Edku90Bg6p9Aw/5SR0JUMoWTsa9MzyeljsRhMTmwYUqFHItHtMSioc2tz/hLVrlrlJYLmRxUPa96xmZE7SdKHQkRlZeTGzDue6DDFKkjIbLkUx+YvsnYV4Ykw+SgFpjaPQJfTY6Eh7OVh16y4Ka2lhywz0GVatgfeHg7ENxW6kiIqKLkSmDo+8A9rxj/T2QLWt0HPLwDCG4ndSQOj8lBLdGnaR38+XhPtA31kjoUm+dqNTlgzUGVkMmA3s8C438wTl9fw/bu3Yv7778fQUFBcHJyQmBgIO677z7s2bOnxmOxVZ988glWrFghdRhUG3SfC0z/B/BtIHUk5MhULsbmqaO/AtTuUkdDYHJQq4R4u+CHWV0xvUeE1KHYNBcnK52XmBxUnrM3MO4HoPdCQFbzl44PP/wQ3bt3R0xMDJYuXYrNmzfjrbfews2bN9GjRw989NFHNR6TLWJyQBVStz3w8E42MyJpBLQAHtrG5qk2hvWJtYxKIceLQ5qjawNfLPjxOJKz8qQOyeY4MzmoekFtgTErjf0MJLBr1y7MmzcPgwcPxvr166FU3rl0Pfjggxg5ciTmzp2Ldu3aoXv37pLESFRrObkamxk1ugf47XEgO0nqiMgRdJwODFzCwSxsEGsOaqn+zQLw99ye6MnhTi04q5gcVKl2E41jpEuUGADA66+/DplMhk8//dQsMQAApVKJTz75BDKZDG+88QYA4KWXXoJMJsORI0cwatQoeHh4wNPTExMmTEBCQoLZ58PDwzFkyBCsX78erVu3hkajQf369fHBBx9YxHH9+nVMmDABderUgVqtRrNmzfD222/DYDCYtrl69SpkMhneeustvPPOO4iIiICbmxu6du2KvXv3Wuzz4MGDGDZsGHx8fKDRaNCuXTusW7fObJsVK1ZAJpNh69ateOSRR+Dn5wdfX1+MGjUKt27dMvsup06dwvbt2yGTySCTyRAeHl7h800OqukQ4JHdQMN+UkdC9kzjBTywEhjyDhMDG8XkoBar46HBqumd8eKQZlAr+aMsZPVcMDmoOI+6wIPfAcM/kvQCrtfrsXXrVnTs2BEhISFWtwkNDUWHDh3w77//Qq/Xm5aPHDkSDRs2xI8//oiXXnoJv/zyC6Kjo5Gfn2/2+aNHj2LevHl44oknsH79enTr1g1z587FW2+9ZdomISEB3bp1w6ZNm/Dqq6/it99+Q//+/TF//nw8+uijFjF9/PHH+Oeff/Dee+/h22+/RVZWFgYPHoy0tDTTNlu3bkX37t2RmpqKzz77DL/++ivatm2LMWPGWG0aNGPGDKhUKnz33XdYunQptm3bhgkTJpjWr1+/HvXr10e7du2wZ88e7NmzB+vXry/3uSaCeyAw4Wdg0Jt8cKOqFxIJzNoBNB8udSRUCjYrsgPTe9RH94Z+eO7nEzh8PVXqcCTnpLRWc8DRispNrgA6PQT0fcE47KHEEhMTkZ2djYiI0vvaREREYP/+/UhKutMkYtSoUVi6dCkAYMCAAQgICMD48eOxbt06jB8/3rTdrVu3cOTIEbRpY5wgatCgQYiPj8err76K2bNnw8XFBe+88w5u3ryJffv2oVOnTgCA6Oho6PV6fPbZZ5g3bx4aN25s2qe7uzs2bNgAhcL4+xgcHIxOnTrhr7/+woMPPggAmD17Nlq0aIF///3XVCMSHR2NxMREPPfcc5g0aRLk8jvJ7sCBA81qNJKTk7FgwQLcvn0bgYGBaNeuHZydneHh4YEuXbpU/GQTFeo8C4joBfw0E4g7KXU0VNvJZED3ecb7CkfIsnksbrYTTQM98OOsblg8oiU8rI3z70BUCiuTQrDmoHyC2gIz/gUGvmETiUFFCCEAADLZnZ9/0QQAAB544AEolUps3brVbHmLFi1MiUGhcePGIT09HYcPHwYA/Pvvv2jevLkpMSg0ZcoUCCHw77//mi2/9957TYkBALRu3RoAcO3aNQDAxYsXcfbsWVOMOp3O9Bo8eDBiY2Nx7tw5s30OGzbM7H3xfRJVqTrNgZn/At0eMz7cEd2NwNbA1L+A/i8xMaglmBzYEblchgld6mHLU1EY1iZY6nAko1KwWVGFObkC0UuMDwI2NneBn58fXFxccOXKlVK3u3r1KlxdXeHj42NaFhgYaLaNUqmEr6+vWe2Cte2KLivcNikpCUFBQRbbBQcHm21XyNfX1+y9Wq0GAOTk5AAA4uLiAADz58+HSqUye82ePRuAsdakIvskqnJKNTBgMTDxVw55ShXj4gMMedc4J05YV6mjoQpgCmeH/N01+GBsO9zXIQQv/noS15KypQ6pRimsTSedz+SgRI0HAve+BXiGSh2JVQqFAn369MHff/+NmJgYq/0OYmJicOjQIQwePNistP727duoW7eu6b1Op0NSUpLFQ/bt27ct9lm4rHBbX19fxMbGWmxX2CHYz69igwMUbr9w4UKMGjXK6jZNmjSp0D6Jqk39KGD2XmDvp8COZYA2Q+qIyFbJFUDHaUCfFwBnL6mjobvAmgM71quxPzbN64VH+zaEk7XSdDulsFb9zZoDS+5BwAOrgHHf22xiUGjhwoUQQmD27NlmHY4BY4flRx55BEIIPPvss2brvv32W7P369atg06nQ+/evc2Wnzp1CseOHTNb9t1338Hd3R3t27cHAPTr1w+nT582NTMqtHLlSshkMvTp06dC36lJkyb/z959R0dR720Af7ZlN530Ximh9xpK6EHAIKggglIUFZQrWC+WC2JDrgUb4H0tgKA0aQIKSBOk9xYglIQkpPeeLfP+sUlg2RDSZ8vzOSdHmZ2d+WZZdvaZX0Pz5s1x9uxZdO3atdIfR8eaLwikVCrZkkANQ2ajXzjtpRNAh/HsakTGgvvq180Y/imDgRljy4GFUypkeG1oGB7p6IePtkdjz+VUsUtqcJVerxgO7pBI9Xd1Bs8FlE5iV1MtvXv3xqJFizBr1iz06dMHL730EgIDA3Hr1i18++23OHr0KBYtWoTw8HCD523YsAFyuRxDhgzBxYsX8e6776JDhw4YO3aswX6+vr6IiorCvHnz4OPjg5UrV2LXrl345JNPYGdnBwCYPXs2VqxYgREjRmD+/PkICgrCtm3bsHjxYkyfPt1gMHJ1fffdd3jooYcQGRmJyZMnw8/PD5mZmYiOjsapU6ewbt26Gh+zXbt2WL16NdasWYPQ0FCoVCq0a9euxschui9Hb2D0UqDbs8AfrwOJpx78HLJszgHA0PeBNqPFroTqAcOBlWjm6YAfJ3fDidhM/HfHFRy9mSl2SQ1CKjUckFqB4UCfmlo+DES8AXib35fFmTNnolu3bvjss8/w6quvIiMjA66urujTpw8OHjyIXr2M+7Ru2LAB8+bNw5IlSyCRSPDwww9j0aJFsLGxMdivY8eOmDJlCubOnYuYmBj4+vri888/x+zZsyv28fDwwKFDhzBnzhzMmTMHubm5CA0NxcKFC/HKK6/U6ncaMGAAjh07hg8//BCzZs1CVlYW3Nzc0Lp1a6MAU13vvfcekpKSMG3aNOTl5SEoKAixsbG1OhZRlfy7AtP2AufXA3s+ALKqHhdEFkiuAnr/C+gzG1DYiV0N1ROJUD7FB1mV/VdS8d+dV3AhMVfsUuqVq50NTv1niOFGdSHwofFAUqshkQCtHwH6va5fqt4KzJs3D++99x7S0tIeOBYgODgYbdu2xdatWxupOiILpFUDJ38C9i8ECtIevD+Zv1ZRQOQHoi6QSQ2DLQdWKiLMExFhnth2Lgmf77qK62mWsQ6Au6ON8UZrbTWQSPVNvP1eBzxbiV0NEVkymUK/PkrHJ4FD3wCHvub6MpZIItWvpB0+Ewjo/uD9ySwxHFi5Ee19MKytNzacSsCXu2OQkGXeAxld7SsLB9Y1WxOkMqDNGH0o8OBsN0TUiGwcgP7/Bro9Axz7P31rQr7lj3WzeApboOMEoNeLgGuo2NVQA2O3Iqqg0erw54Vk/PjPTbNdaXl4O28sntDFcGPKRWBJeOVPsCRSGdDucX0ocGsmdjVERIC2FLjwG3D0O+D2abGroZqy9wC6T9MPPrdze/D+ZBHYckAV5DIpRnbwxcgOvjgTn40fD97EHxeSoNaaT35sYmeF3YqkcqD9OKDfa7yjQ0SmRWajn/a0w3gg/ihwZCkQvQXQacSujKri1kzfdajDE/pBx2RVGA6oUh0DmuCr8Z2QktsKPx+Jwy9HbyGzoFTssh7IxVZhvNFSw4FzAND5KX1Tr7PxwmBERCYloIf+J/c2cPwHfZejwowHP48aT2AvfShoOULsSkhE7FZE1VKi1mLTmdtYcTgWF2+b7gxH/36oJV6IaGq4Mfp3YM1EcQqqbzIFEDYc6Pw00HSgfnAYEZE50hQD59cBR/8HJJ8TuxrrJVMAYSP0ocC/q9jVkAlgywFVi1Ihw7huARjXLQDXUvOx+Uwitpy9jbgM0xrs66Sq5C1tCS0HXm2A9k8AHcfr+4ASEZk7uQro9JT+J+4f4Nj3wNU/9dNPU8OSSPStBO0e1091becqdkVkQhgOqMaaeTrg1aFheHVoGM7cysLms7ex9VwS0vJKxC4NDqpKuhWZ64XGOUD/wd3uMatZn4CIrFRQb/2Pugi4sRe4vA248ge7HdU3r7Zl15VH9dcYokowHFCddAx0QcdAF7wzojUOX8/A5rOJ2HEhGbnF4gw2c1DKjDeaU8uBow8Q9pD+wzvICmZYIiK6m8JW33UybDig0wLxR/RB4fI2ICtW7OrMj0QC+HbSr03QciSnt6Zq4ZgDqncarQ6n47NxICYNB66m41xiDrS6xnmbrXm+J3qE3DPd2r6PgX0LGuX8NaZqAgT3AUIjgND+gHsLsSsiIjJNKRfuBIWks2JXY7qkciC4r35QccvhgJOf2BWRmWE4oAaXW6TGP9fTcTAmHX/HpCE+s+EWWvv9pd5o59/EcOPOd/SrdZoCuUrfzzM0AgiJAHw66NcnICKi6suJLwsK24GE4+bbfbQ+2NgDvp0B/25AQDcgMBywbSJ2VWTGGA6o0cVlFOBgTDpOx2fjQmIOrqXmQ1NPLQt/vRKBZp4Ohhu3zgZO/Fgvx68xqUzfpBvSXx8IArpzzmgiovqk0wLpV4DbZ/QLrSWdAZLP68cvWCK3poB/9zthwLMNbzJRveKYA2p0QW72CHKzx4SeQQD006RGJ+fhYmIOLtzOwYXEXFxNyUOJRlfjYyvllUztWZpf15IfTCLRD+5ybw64h+m7B7k3B7zbASrnhj8/EZG1ksoAz9b6n45P6rfptEBa9D2B4YJ++lRzonQE/LropxgtDwScWYgaGMMBiU6pkKFjQBN0DGhSsU2t1SEmJQ9XUvKRmFWExOzCsv8W43Z2EYrU2vscq7JwUI/NzXKVfuXI8i//7i0Ajxb6bQq7+jsPERHVnlSmn5nHqy3QqWydG50GSL0E3D6rH7+QkwDkJur/W5gOiNGRQq4CnP0AJ3/9YpYV/+9354YT17OhRsZwQCZJIZOita8zWvtWftc9I78Et7OLkZitDw4Z+aXIK9bAwaaSt7TKWf+hqynR/+g0gI0doHTS35Wp+K/jff7sCKic9B/UTQL5QU1EZI6kcsC7vf7nXpoSIC9JHxTykvVTqBZmAEWZQGHmnT+ri/TXAKlM/19J2X+lUsM/37uPnctdX/r97/y/nZtxLUQi45gDIiIiIiICAPAWKBERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERGRBjhw5gscffxw+Pj6wsbGBt7c3HnvsMRw+fFjs0kzG4sWLsWzZMrHLIDJJDAdEREQW4uuvv0bv3r2RkJCAhQsX4q+//sKnn36KxMRE9OnTB998843YJZoEhgOi+5MIgiCIXQQRERHVzT///IN+/fph+PDh2LhxI+RyecVjGo0Go0ePxvbt2/H333+jd+/eIlYqvrZt28Ld3R379u0TuxQik8OWAyIiIgvw8ccfQyKRYMmSJQbBAADkcjkWL14MiUSCBQsWAADmzZsHiUSC06dPY8yYMXBycoKzszMmTpyItLQ0g+cHBwdj5MiR2LhxI9q3bw+VSoXQ0FB89dVXRnXcunULEydOhKenJ5RKJVq1aoXPPvsMOp2uYp/Y2FhIJBJ8+umn+PzzzxESEgIHBwf06tULR44cMTrmiRMnEBUVBVdXV6hUKnTq1Alr16412GfZsmWQSCTYu3cvpk+fDnd3d7i5uWHMmDG4ffu2we9y8eJF7N+/HxKJBBKJBMHBwTV+vYksFcMBERGRmdNqtdi7dy+6du0Kf3//SvcJCAhAly5dsGfPHmi12orto0ePRrNmzbB+/XrMmzcPmzZtQmRkJNRqtcHzz5w5g1mzZmH27NnYuHEjwsPD8fLLL+PTTz+t2CctLQ3h4eHYuXMn3n//fWzZsgWDBw/Ga6+9hpdeesmopm+//Ra7du3CokWLsGrVKhQUFGD48OHIycmp2Gfv3r3o3bs3srOzsXTpUmzevBkdO3bEuHHjKu0a9Oyzz0KhUOCXX37BwoULsW/fPkycOLHi8Y0bNyI0NBSdOnXC4cOHcfjwYWzcuLHarzWRxROIiIjIrCUnJwsAhCeeeKLK/caNGycAEFJSUoS5c+cKAITZs2cb7LNq1SoBgLBy5cqKbUFBQYJEIhHOnDljsO+QIUMEJycnoaCgQBAEQfj3v/8tABCOHj1qsN/06dMFiUQiXLlyRRAEQbh586YAQGjXrp2g0Wgq9jt27JgAQPj1118rtrVs2VLo1KmToFarDY45cuRIwcfHR9BqtYIgCMJPP/0kABBmzJhhsN/ChQsFAEJSUlLFtjZt2ggRERFVvlZE1ootB0RERFZCKBtmKJFIKrZNmDDBYJ+xY8dCLpdj7969BtvbtGmDDh06GGx78sknkZubi1OnTgEA9uzZg9atW6N79+4G+02ePBmCIGDPnj0G20eMGAGZTFbx5/bt2wMA4uLiAADXrl3D5cuXK2rUaDQVP8OHD0dSUhKuXLlicMyoqCiDP997TCKqmvzBuxAREZEpc3d3h52dHW7evFnlfrGxsbC3t4erq2vFNm9vb4N95HI53NzckJGRYbD93v3u3la+b0ZGRqX99319fQ32K+fm5mbwZ6VSCQAoKioCAKSkpAAAXnvtNbz22muV/k7p6ek1OiYRVY3hgIiIyMzJZDIMGDAAf/75JxISEiodd5CQkICTJ09i+PDhBnfrk5OT4efnV/FnjUaDjIwMoy/ZycnJRscs31a+r5ubG5KSkoz2Kx8Q7O7uXqPfq3z/OXPmYMyYMZXuExYWVqNjElHV2K2IiIjIAsyZMweCIGDGjBkGA44B/YDl6dOnQxAE/Pvf/zZ4bNWqVQZ/Xrt2LTQaDfr372+w/eLFizh79qzBtl9++QWOjo7o3LkzAGDQoEG4dOlSRTejcitWrIBEIsGAAQNq9DuFhYWhefPmOHv2LLp27Vrpj6OjY42OCehbE9iSQFQ5thwQERFZgN69e2PRokWYNWsW+vTpg5deegmBgYG4desWvv32Wxw9ehSLFi1CeHi4wfM2bNgAuVyOIUOG4OLFi3j33XfRoUMHjB071mA/X19fREVFYd68efDx8cHKlSuxa9cufPLJJ7CzswMAzJ49GytWrMCIESMwf/58BAUFYdu2bVi8eDGmT5+OFi1a1Pj3+u677/DQQw8hMjISkydPhp+fHzIzMxEdHY1Tp05h3bp1NT5mu3btsHr1aqxZswahoaFQqVRo165djY9DZIkYDoiIiCzEzJkz0a1bN3z22Wd49dVXkZGRAVdXV/Tp0wcHDx5Er169jJ6zYcMGzJs3D0uWLIFEIsHDDz+MRYsWwcbGxmC/jh07YsqUKZg7dy5iYmLg6+uLzz//HLNnz67Yx8PDA4cOHcKcOXMwZ84c5ObmIjQ0FAsXLsQrr7xSq99pwIABOHbsGD788EPMmjULWVlZcHNzQ+vWrY0CTHW99957SEpKwrRp05CXl4egoCDExsbW6lhEloYrJBMREVmhefPm4b333kNaWtoDxwIEBwejbdu22Lp1ayNVR0Ri4ZgDIiIiIiICwHBARERERERl2K2IiIiIiIgAsOWAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHREREREQEgOGAiIiIiIjKMBwQEREREREAhgMiIiIiIirDcEBERERERAAYDoiIiIiIqAzDARERERERAWA4ICIiIiKiMgwHFi42NhYSiQSTJ08WuxSTkpycjEmTJsHf3x8ymQwSiQTZ2dlYtmwZJBIJli1bJnaJREQNgtcFup958+ZBIpFg3759YpdCImI4aEQSiaTKH34hNTR58mRIJJIGO/bPP/+MiIgIvPPOO5g7dy5UKlWDnOtuvCgT0d14XaiZhrwuEJGeXOwCrNHcuXMr3d6xY8fGLcRKlZaWYteuXRg8eDBWrVpl8Njo0aPRs2dP+Pj4iFQdEVkjXheIyFQwHIhg3rx5Ypdg1ZKTk6HT6eDr62v0mLOzM5ydnUWoioisGa8LRGQq2K3IRGVmZmLOnDlo1aoVbG1t4ezsjEGDBmHnzp2V7p+Xl4dXXnkF/v7+UKlUaNmyJT7//HPodLr7nqOwsBAff/wxOnbsCHt7ezg4OKBXr1749ddfjfbdt28fJBIJ5s2bh2PHjmHEiBFwdXWFRCJBbGxsxX6//vorBgwYABcXF6hUKrRq1QoffPABSkpKjI4pkUjQv39/JCcn49lnn4Wfnx9kMlmVzeiCIGD58uUIDw+Hh4cHVCoVAgICEBkZiTVr1tz/BS0THByMoKAgAMDy5csrmu7Lu/ncb8xBcHAwgoODkZubi1deeQXBwcFQKBQVF/S8vDy8//77aNu2LZycnODo6IimTZti3LhxOHnyJAD9xT8kJMTo3NXtOnDu3DmMHz8ewcHBUCqV8PDwQOfOnTFr1iyo1WqDfTUaDRYvXoyePXvCyckJdnZ26NSpE7755huj98TdXZ2uXr2KcePGwdPTE1KpFPv27UPLli1hY2OD9PT0SutasGABJBIJvv32W4PtCQkJeOmllxAaGgqlUgk3NzdERUXh+PHjD/xdicgYrwuVq+t1ofy1etBn+N2OHj2Kxx57DN7e3rCxsUFAQACef/553L59u9LjZ2Zm4u2330bbtm1hZ2cHZ2dndOjQAf/+979RUFBgsG9MTAyefvpp+Pn5wcbGBr6+vnj66acRExNjdNy7xwisX78e3bt3h52dHVxdXfHEE08gMTGx0npOnjyJYcOGwdHREU5OThg8eDAOHz5crdfqbikpKXjttdcQFhYGe3t7NGnSBGFhYZg8eTJu3LhhtP+OHTswfPhwuLu7Q6lUomnTpnj99deRnZ1ttG9V193nn38eEokEW7ZsqbSuI0eOQCKR4PHHHzfYXpP3tzVjy4EJiouLQ//+/REbG4u+ffti2LBhKCgowNatWzFs2DB89913mDZtWsX+JSUlGDRoEI4fP44OHTpgwoQJyM7Oxvvvv4/9+/dXeo7s7GwMHDgQp0+fRufOnTF16lTodDrs2LEDTz75JC5evIgPPvjA6HmHDx/Gxx9/jD59+mDq1KlIT0+HjY0NAOCZZ57Bjz/+CH9/f4wZMwZNmjTBkSNH8O6772L37t3YtWsX5HLDt1xmZiZ69uwJBwcHjBkzBlKpFF5eXvd9bd5++218/PHHCAkJwdixY+Hs7IykpCQcP34c69atw7hx46p8bWfNmoXY2Fh8+eWX6NChAx555BEA1Wu6Ly0txcCBA5GZmYmhQ4fCyckJISEhEAQBw4YNw6FDh9CrVy88++yzkMvliI+Px759+9C3b1906dIF/fv3R3Z2ttG5q3P+c+fOoUePHpBIJIiKikJISAhyc3Nx7do1LF68GB988AEUCgUAQK1W4+GHH8aOHTsQFhaGJ598EiqVCnv37sXMmTNx9OhR/Pzzz0bnuH79Onr06IEWLVpgwoQJKCoqgpOTEyZNmoS33noLv/76K2bOnGn0vBUrVsDGxgZPPPFExbZTp05h6NChyMzMRGRkJMaMGYP09HRs2rQJffr0wcaNGzF8+PAHvuZEpMfrQsNdF6r7GV7up59+wrRp06BUKhEVFYWAgADExMTg+++/x++//44jR44gMDCwYv+bN29iwIABiIuLQ5cuXTB9+nTodDpcvXoVX3zxBV544QXY29sDAI4fP47BgwcjLy8PUVFRaN26NS5fvoxVq1Zh8+bN2L17N7p27Wr0OyxevBhbtmxBVFQUIiIicPToUaxZswZnz57FmTNnoFQqK/Y9dOgQBg8ejNLSUowZMwbNmjXDmTNn0L9/fwwcOLDK1+puhYWF6N27N65fv44hQ4bg4YcfhiAIiIuLw+bNm/HYY48hNDS0Yv/58+dj7ty5cHV1xciRI+Hp6Ylz587h008/xfbt23H48GE4OTkZnON+193IyEj873//w/LlyxEVFWVU24oVKwAAkyZNqthW2/e3VRKo0QAQAAhz5841+vnpp58q9ouIiBAkEonw66+/Gjw/KytL6NChg6BSqYTk5OSK7R9++KEAQBgzZoyg1Wortt+4cUNwcXERAAiTJk0yONakSZMEAMInn3xisL2oqEiIjIwUJBKJcPr06Yrte/furah/6dKlRr/bTz/9JAAQRo8eLRQWFho8NnfuXAGAsGjRokpfj6eeekpQq9VVvnblXF1dBT8/P6GgoMDosbS0tGod4+bNm5W+Jnf/Hnf/fQiCIAQFBQkAhEGDBgn5+fkGj507d04AIDzyyCNGx9NqtUJmZma1zl2VV155RQAgbNq0yeixzMxMg7/38tf7pZdeEjQaTcV2jUYjTJ061eg45TUBEObMmWN0/ISEBEEqlQpdunQxeuzYsWMV771yarVaaNq0qaBUKoV9+/YZ7J+YmCj4+voK3t7eQnFxcY1eAyJLxOuC+NeFmnyGX7lyRVAoFELTpk2FhIQEg313794tSKVSo+OEh4cLAISPPvqo0vqKiooEQRAEnU4ntGzZUgAgrFy50mC/1atXCwCEsLCwSj/vHR0dhXPnzhk8Z/z48QIAYc2aNRXbdDqdEBYWVun1ZNGiRRWv/969eyt7qQxs2bJFACDMmjXL6LGSkhIhNze34s979uwRAAi9evUSsrKyDPYtf5/ce5yqrruCIAgtWrQQbGxshPT0dIPtxcXFgouLi+Dp6WnwHqrp+9uaMRw0ovJ/dJX9RERECIIgCGfOnBEACI899lilx9i0aZMAQPj2228rtjVr1kyQSqXCtWvXjPYv/+C4+yKQnp4uyGQyoWvXrpWeo7yG119/vWJb+UWgY8eOlT6nY8eOglwuN/pHLwj6L6Vubm5Ct27djF4PGxsbISUlpdJjVsbV1VUIDg6u0xfLuoSDM2fOGD2n/MIyfvz4Op27KuXhYMeOHVXup9VqBTc3N8Hb27vSC2tWVpYgkUiExx9/3KgmLy+v+76uQ4YMEQAIFy5cMNj+4osvCgCEzZs3V2wrf4++9tprlR6r/AK0bdu2Kn8XImvA64L414WafIbPmjVLACBs3bq10scfeeQRQSaTVXwxPnHiRMVrdPeX+socPHiw4gt0Zfr06SMAEPbv31+xrfzv8u233zbav/wL+auvvmp0jn79+hntr9FohKZNm9Y4HFR2U+lejzzySKXXkHIdO3YUPDw8DLZVdd0VhDsB+JtvvjHYvm7dOgGAMHv27IpttXl/WzN2KxKBIAj3fay8z19OTk6lA9TS0tIAANHR0QD0/SSvXbuGgIAANG3a1Gj//v3747333jPYdvz4cWi12oq+ovcq779efo67de/e3WhbYWEhzp49C3d3dyxatKjS30upVFZ6vODgYHh6elb6nMpMmDABX3/9Ndq0aYPHH38cERER6NWrV6MMIlapVGjfvr3R9tatW6Njx4749ddfERcXh1GjRqFPnz7o2rVrRdN6XY0bNw5ffvklHnnkETz22GMYPHgwevfubfR3fvXqVWRkZKB58+b3bR61tbWt9O+iQ4cOBk3Pd5s8eTJ27dqF5cuXY+HChQD0zb2rV6+Gh4eHQReh8vdwXFxcpe+v8n6z0dHR7FpEVIbXhTsa+7pQk8/w8r+L/fv3Vzp+KjU1FVqtFlevXkWXLl1w5MgRAEBkZCSk0qqHeZ46dQoA7tu1Z+DAgTh48CBOnz6Nfv36GTxWWVejgIAAAEBWVpbROSIiIoz2l8lk6NOnD65fv15lneUiIiLg5+eHBQsW4NSpUxg+fDh69+6Njh07QiaTGex7+PBhKBQKrFu3DuvWrTM6VmlpKdLS0pCRkQE3N7eK7fe77gLA008/jXfffRfLly/Hiy++WLF9+fLlAAy7FNXl/W2NGA5MTEZGBgBg165d2LVr1333y8/PB6C/WAC4b39Mb2/v+57j+PHjVQ4OLT/Hg46XlZUFQRCQlpZmdMF5kMqOV5UvvvgCTZs2xY8//ogFCxZgwYIFkMvlGD58OD777DM0a9asRserCU9Pz0rn15bJZNizZw/mz5+P9evX48033wQAODo6YtKkSfj444/h4OBQp3N3794dBw4cwIcffoj169dXjBkICwvD3LlzMX78eAB3/m5jYmKq/Luo7t9tudGjR8PJyQkrV67Exx9/DJlMhq1btyIjIwOzZs0y6DNcXkNlF4AH1UBExnhdqFpdrws1+Qwvf53++9//VnnM8tepfKCtn5/fA3+P8r+3+02lXb69ssG7TZo0MdpW/rms1WqNzlGT98b9ODk54ciRI5g7dy62bNmCHTt2AADc3d0xY8YMvPPOOxVj4TIyMqDRaB74XsjPzzcIB/e77gKAv78/Bg0ahF27diE6OhqtWrVCamoq/vzzT3Ts2BEdOnSo2Lcu729rxNmKTEz5nY4vv/wSgr7bV6U/P/30k8H+KSkplR4vOTn5vueYPXt2lefYu3ev0XMr+0dafrxOnTpVebzK7ozVdDEbmUyGl19+GWfPnkVKSgp+++03jB49Glu2bMGwYcMqnf2ivlRVq4uLC7744gvEx8dXDExr2bIlvvnmG0yfPr1ezt+rVy9s3boVWVlZ+Oeff/Duu+8iJSUFTz75JP766y8Ad/4uRo8eXeXfw82bN2v0+9na2mLs2LFISkqq+HJS2d2Zu2vYvHlzlTXcb153IjLE60LV6uO6UN3P8PLfKycnp8rfqfzOfPmX9vvNGnS38mNX9vcDAElJSQb71UZt3htV8ff3xw8//IDU1FRcuHABX331Fdzc3DB//nzMnz/f4LwuLi4PfC+UzyZY7kHvhfLrT/n1aNWqVdBoNPe9LtXm/W2NGA5MTM+ePQEABw4cqNb+jo6OaNasGRITEyttCqxsCfTu3btDKpVW+xwP4uDggDZt2uDixYvIzMysl2NWh6enJ8aMGYO1a9di4MCBuH79Oi5cuNBo57+fZs2a4ZlnnsH+/fvh4OCAzZs3VzxW3tR6952cmlIqlQgPD8f8+fPx1VdfAUDFOVq2bFkxG8i905vWVfl0r8uXL0d6ejr++OMPtG/f3mimpZq+h4moarwuVF99XBeq+gyv6d9F+f47duyocgpZQB+kgMr/fu7e3rlz52qduzLlz61sxiqtVouDBw/W6rgSiQRt2rTBzJkzK24gbdq0qeLxnj17IisrCxcvXqzV8e9nzJgxFa3aOp0Oy5cvh1wux5NPPmmwX32/vy0dw4GJ6dq1K/r27YsNGzbgxx9/rHSf8+fPIzU1teLPU6ZMgU6nw5tvvmnw4XPz5s2KL4938/T0xIQJE3DixAm8//770Gg0Rvtcv3690rvL9/PKK6+gtLQUU6dOrbTJMysrq6KvY22VlJRg9+7dRnea1Gp1xcXHzs6uTueojZs3b1b6gZeVlYWSkhLY2tpWbHNxcYFEIsGtW7dqdI4DBw5UNAffrfzuT/nvLZfLMXPmTCQlJeFf//oXioqKjJ6TlJSES5cu1ej8ANC7d280b94cmzdvxpIlS6BWqysCw91GjRqFpk2b4ttvv8X27dsrPdbhw4dRWFhY4xqIrBGvC/dXH9eFmnyGv/TSS1AoFJg9ezauXr1q9JzS0lKDL6BdunRBeHg4zpw5g08++cRo/4yMDBQXFwPQf8aGhYXh4MGDWL9+vcF+69evx99//40WLVqgT58+Vf4+VQkPD0dYWBj+/vtvg9ADAN988021xxsAwIULFwzWsyh373UJ0N+xB4Bp06ZVuhZEQUFBxfiMmihv1U5MTMQXX3yBs2fPYvjw4UZjVhri/W3JOObABP3yyy8YOHAgnnnmGXz11Vfo0aMHmjRpgoSEBJw7dw4XLlzA4cOHK978r776KjZt2oTffvsNnTt3RmRkJHJycrBmzRr069ev0kVCvvnmG8TExOA///kPfv75Z/Tp0wdeXl64ffs2oqOjcfz4cfz6668Vi3Y9yNSpU3Hy5EksXrwYTZs2RWRkJAIDA5GZmYmbN2/i77//xpQpU7B06dJavy5FRUUYPHgwgoOD0aNHDwQFBaG4uLiiv2FUVBRatWpV6+PX1tmzZzF69Gh06dIFbdu2ha+vL9LS0rB582ao1eqK/quA/m5ajx49cODAAUyYMAEtWrSATCZDVFTUfQddAcBnn32GnTt3on///ggNDYWDgwMuXryIP/74Ay4uLnjuuecq9n333Xdx9uxZLF26FL///jsGDhwIPz8/pKamIiYmBv/88w8+/PBDtG7dusa/a/kAsPfff7/SuzMAoFAosGHDBkRGRmLEiBEIDw9Hx44dYWdnh/j4eBw/fhw3btxAUlKSKGGOyBzxulC5+rgu1OQzvGXLlvjxxx8xdepUtGnTBsOGDUOLFi2gVqtx69YtHDhwAB4eHrh8+XLFc1auXIn+/fvjrbfewm+//Yb+/ftDEATExMRg586duHz5MoKDgyGRSLB8+XIMGTIE48aNw6hRo9CyZUtcuXIFmzZtgqOjI1asWPHAgc1VkUgk+OGHHzBkyBA8+uijFescnD17Fn/99ReGDRuGP//8s1rH+uuvv/DKK68gPDwcLVu2hKenJxISErB582ZIpVK8/vrrFfsOGjQICxYswJw5c9C8eXMMHz4cISEhyM/PR1xcHPbv348+ffpU+9x3mzRpEr7//nvMmTOn4s+Vqe/3t0WrwcxGVEcom56uOnJzc4UPP/xQ6Ny5s2Bvby+oVCohODhYGD58uPDdd98Zzfmbk5MjzJ49W/D19RWUSqUQFhYmfPrpp8L169fvO3VmSUmJ8PXXXwu9evUSnJycBBsbGyEgIEAYOHCg8MUXXxjMHVw+Zd3cuXOrrPv3338XRowYIXh4eAgKhULw8vISunXrJrz99ttCdHS00etRPlVfdZSWlgqffPKJMGzYMCEgIEBQKpWCu7u70KNHD2HJkiVCSUlJtY5T26lMg4KCKj1efHy8MGfOHCE8PFzw8vISbGxsBD8/P2HYsGHC9u3bjfaPiYkRRo4cKbi6ugoSiaTS891rx44dwuTJk4VWrVoJTk5Ogp2dndCiRQth5syZQmxsrNH+Op1OWLFihTBw4EDBxcVFUCgUgq+vr9C7d2/hww8/FG7dulWt1+NecXFxglQqFQAII0eOrHLflJQU4c033xTatGkj2NraCvb29kKzZs2ERx99VPj555+rPYc5kSXjdUH860JNP8MFQT/96aRJk4TAwEDBxsZGcHFxEdq0aSM899xzwu7du432T09PF9544w2hRYsWglKpFJydnYUOHToIb731ltH6DJcvXxYmTpwoeHt7C3K5XPD29hYmTJggXL582ei45VOZVjb1aFWf7SdOnBAiIyMFBwcHwcHBQRg0aJBw6NChKo93r0uXLgmzZ88WunTpIri7uws2NjZCUFCQ8Oijjwr//PNPpc85cOCA8Pjjjws+Pj6CQqEQ3N3dhQ4dOgizZ88Wjh8/brBvVdfdezVr1kwAILi6ulb5d16T97c1kwhCFfOnERERERGR1eCYAyIiIiIiAsBwQEREREREZRgOiIiIiIgIAMMBERERERGVYTggIiIiIiIADAdERERERFSG4YCIiIiIiAAwHBARERERURmGAyIiIiIiAsBwQEREREREZRgOiIiIiIgIAMMBERERERGVYTggIiIiIiIADAdERERERFSG4YCIiIiIiAAwHBARERERURmGAyIiIqqVo0ePYvTo0QgMDIRSqYSXlxd69eqFV199VezSiKiWJIIgCGIXQUREROZl27ZtiIqKQv/+/TFt2jT4+PggKSkJJ06cwOrVq5GQkCB2iURUCwwHREREVGMRERFITEzE5cuXIZfLDR7T6XSQSuveOaGwsBB2dnZ1Po6pnYvIlLFbEREREdVYRkYG3N3djYIBAKNgsGbNGvTq1Qv29vZwcHBAZGQkTp8+bbDP5MmT4eDggPPnz2Po0KFwdHTEoEGDMGvWLNjb2yM3N9foPOPGjYOXlxfUanW9nIuIGA6IiIioFnr16oWjR4/iX//6F44ePWrwBf1uH330EcaPH4/WrVtj7dq1+Pnnn5GXl4e+ffvi0qVLBvuWlpYiKioKAwcOxObNm/Hee+9h6tSpKCwsxNq1aw32zc7OxubNmzFx4kQoFIp6ORcRARCIiIiIaig9PV3o06ePAEAAICgUCiE8PFz4+OOPhby8PEEQBOHWrVuCXC4XZs6cafDcvLw8wdvbWxg7dmzFtkmTJgkAhB9//NHoXJ07dxbCw8MNti1evFgAIJw/f75ez0Vk7dhyQERERDXm5uaGAwcO4Pjx41iwYAFGjRqFq1evYs6cOWjXrh3S09OxY8cOaDQaPP3009BoNBU/KpUKERER2Ldvn9FxH330UaNtU6ZMwaFDh3DlypWKbT/99BO6deuGtm3bAkC9nYvI2hl3FCQiIiKqpq5du6Jr164AALVajTfffBNffPEFFi5cCGdnZwBAt27dKn3uvWMT7Ozs4OTkZLTfhAkT8Nprr2HZsmX4+OOPcenSJRw/fhyLFy+u2CclJaVezkVk7RgOiIiIqF4oFArMnTsXX3zxBS5cuIBRo0YBANavX4+goKAHPl8ikVS63cXFBaNGjcKKFSvwwQcf4KeffoJKpcL48eMr9nF3d6+XcxFZO4YDIiIiqrGkpCT4+PgYbY+OjgYA+Pr6IjIyEnK5HNevX69zF54pU6Zg7dq12L59O1auXInRo0ejSZMmFY/X57mIrBnDAREREdVYZGQk/P398fDDD6Nly5bQ6XQ4c+YMPvvsMzg4OODll19GcHAw5s+fj7fffhs3btzAsGHD4OLigpSUFBw7dgz29vbVniVo6NCh8Pf3x4wZM5CcnIwpU6YYPF6f5yKyZgwHREREVGPvvPMONm/ejC+++AJJSUkoKSmBj48PBg8ejDlz5qBVq1YAgDlz5qB169b48ssv8euvv6KkpATe3t7o1q0bXnjhhWqfTyqV4umnn8ZHH32EgICAStclqK9zEVkzrpBMREREREQAuAgaERERERGVYTggIiIiIiIADAdERERERFSG4YCIiIiIiAAwHBARERERURmGAyIiIiIiAsBwQEREREREZRgOiIiIiIgIAMMBERERERGVYTggIiIiIiIADAdERERERFSG4YCIiIiIiAAwHBARERERURmGAyIiIiIiAsBwQEREREREZRgOiIiIiIgIACAXuwCi2igo0SA+qxDxmUXIKixFQYkGecUaFJRokH/XT8WfizVQawVIpYBMIoFMKoFUIoGNXAqlXAaVQgpbGxlsFTI4KOXwdFLCy1EFL2eV/r9OSrg7KCGVSsT+1YmIqAGk55cgNbcYqXklSM0rQWZBKXKL1MgtUiPnrp/8Eg0ACRQyCRQyKRQyCeRl/1VIpZBXbL/rMakEdko5fJvYwt+l/McODkp+DSPTw3clmSSNVofb2cWIzyrErcxCxJf/ZBUhPrMQGQWljV6TTCqBh4MSXk5KeDmp4NPEFi08HdDKxwlh3o6w54c8EZFJy8gvwcXbubiUlIvopFzEZRQiJbcY6fklUGuFRq+niZ0C/i628GtiZxAayv/fUaVo9JqIJIIgNP6/BqJ7XE/Lx9n4bJxNyMG5+GxcSspFiUYndlnVJpEAga52aOnthFY+jmjl44SW3o4IcrMXuzQiIqt0M70Al8qCgP6/OUjJLRG7rBppYqdAKx8ndA1yQdcgF3QKcoETAwM1MIYDanSpucU4E5+NM/HZOJeQg3OJ2cgt0ohdVoOwt5GhlY8TeoS6oXczN3QJcoFSLhO7LCIii3Lpdg7OJeboQ8DtXFxOzivr/mNZpBIgzNsRXYJc9YEh2AX+LnZil0UWhuGAGlxukRoHr6Vj/9U0HIxJR2J2kdgliUalkKJrkCt6N3NDeFN3tPNz5jgGIqIaKijR4OC1dOyOTsXeK6lIyzOvFoH65O2kQtdgF3QJckHXIFe09nWCjNcVqgOGA2oQ0Um52HUpBfuupOFsQja0Or7NKuNsq0DPslaFPs3cEerhIHZJREQmKSGrELujU7E7OgVHb2aaVdfTxmRnI0P3YFdEtvXG0NZecHNQil0SmRmGA6oXaq0OR29k4q/oFPwVnYKELOttHaiLFl4OGNHeFyPa+aCZJ4MCEVkvnU7AqVtZ+kBwOQVXU/LFLsnsyKQSdA9xxUNtvRHZxhteTiqxSyIzwHBAdRKdlIt1J+Kx6cxtZIowg5Ala+HlgJHtffFIRz8EurFPKRFZvhKNFn9dSsVf0SnYdyUVWYVqsUuyGBIJ0DnQBaM6+mJke1+42tuIXRKZKIYDqrGsglJsPnsb607E4+LtXLHLsQpdglwwupMfRrb3QRM7fqATkWWJzyzEqqNxWHsigTeaGoFCJkFECw+M7uSPwa08oVRwogy6g+GAqkWrE7D/ahrWnYjH7uhUlGrZ11MMNjIphrT2wpTewega7Cp2OUREtabTCdh3NQ0/H47D/qup4NA0cTip5HionQ/GdwtAx0AXscshE8BwQFVKzC7CysNx+O1UAlKteDYIU9TB3xlTeodgRHsfKGRSscshIqqWzIJSrD0ej1XH4hCfyfFppqR7iCteiGiKgS09xS6FRMRwQJWKScnD0v3XsfnMbWh4O8ekeToq8VSvIDzZPZCzUhCRyToVl4Wfj8Rh+/kkzjRk4sK8HPFcRCiiOvjy5pMVYjggA6dvZWHxvuv4KzoFfGeYF6VcilEd/TC1TzBaejuJXQ4REYpKtdh0JhErj8RxjJoZ8nVW4dm+oXiiewDsbORil0ONhOGAAAD7r6Riyf7rOHIjU+xSqB70aeaOV4a0QOcg9h8losZXotZixZE4LNl3nQOMLUATOwWe6hmEyeHBbKG2AgwHVkyrE7D9fBKW7r/OOzoWakhrL7weGYYWXo5il0JEVkCt1WHN8Xh8vScGKbkcp2ZpVAopHu8SgGl9QznFtgVjOLBSf19Nw4fbonElJU/sUqiBSSXA6E5+mD2kBfxd+GFORPVPqxOw8XQCFv0Vw0UwrYBMKsGIdj54Y1gYrysWiOHAylxPzccH26Kx90qq2KVQI1PKpZjQIxAvDmjGZmEiqjd7Lqfio+3RuJbKFYytjUohxfSIpnghoinXSrAgDAdWIruwFIv+isHKI3GcfcjKOSjleLZvCJ7tGwoHJQeYEVHtXEnOwwfbLuFATLrYpZDIAl3t8O7I1hjS2kvsUqgeMBxYOLVWh58Px+HL3THIKeIy9HSHu4MN3hnRGo908hO7FCIyI2l5Jfh81xWsPZEALW820V0GhHli7sOtEexuL3YpVAcMBxbsr+gUfLQtGjfSC8QuhUxY/xYe+GB0W/YbJaIqaXUCfjh4E1/tjkF+iUbscshEKeVSTOsXihf7N4OtDbsamSOGAwuUkluMtzeex1/RHFdA1WOrkOGVoS0wtXcIZFKJ2OUQkYmJTS/Aq+vO4mRcltilkJnwa2KLd0a2wkNtfcQuhWqI4cDCrD5+Cx9ti0ZuMe/qUM219XPCgjHt0dbPWexSiMhErDgciwV/XEZhqVbsUsgM9W3ujnkPt0FTTwexS6FqYjiwEAlZhZiz4TwHhlGdyaQSTO0dgleGtGCTMJEVS8opwhvrz/G6QnWmkEnwfERTzBrUHHKZVOxy6AEYDizA+pPxmLflEvuAUr0KcLXFgjHt0buZu9ilEFEj++1UAt7bcpGt0FSvugS54OvxneDbxFbsUqgKDAdmLLOgFHM2nMeOi8lil0IWSiIBnu8XileHhkHBuz1EFi89vwRvb7zA6wo1mCZ2Cnz6eAcMbsVpT00Vw4GZ2ns5FW+sP4e0fC5PTw2vU0ATfDW+EwJcOaMRkaXacTEZb204j4yCUrFLISvwTJ8Q/PuhlrzxZIIYDsyMTidg0e6r+HrPNfBvjhqTo1KOj8e0w8gOvmKXQkT1KLdYjXlbLmLDqUSxSyEr0zGgCb55shOn0jYxDAdmJLdIjZdXn8HeK5yilMTzdK8gvDOiNWzkvNtDZO4u3s7BtOUncDunWOxSyEo52crx38c6ILKNt9ilUBmGAzNxJTkPz/98ArEZhWKXQoROAU3w7YTOHFRGZMZ2XkzGrDVnOEUpmYTJ4cF4a3gr3ngyAbX+Gzh69ChGjx6NwMBAKJVKeHl5oVevXnj11Vfrsz4CsO1cEkYv/ofBgEzG6fhsjPz6IA7EpIldChHVwtL91/HCypMMBmQylh2KxaNLDiEuo0DsUqxerVoOtm3bhqioKPTv3x/Tpk2Dj48PkpKScOLECaxevRoJCQkNUavV0eoELPzzMr77+4bYpRBVSiaV4INH2mJ890CxSyGialBrdXhn0wWsOR4vdilElXJUyvHfxztgWFt2MxJLrcJBREQEEhMTcfnyZcjlcoPHdDodpNK6NwkVFhbCzq5xBqg05rmqK6ugFDN/PY2D17j4DJm+Fwc0w+uRYWKXQURVyClS44WVJ3H4eobYpRBVSSIB3h7eCs/2DRW7FKtUq2/xGRkZcHd3NwoGAIyCwZo1a9CrVy/Y29vDwcEBkZGROH36tME+kydPhoODA86fP4+hQ4fC0dERgwYNwqxZs2Bvb4/c3Fyj84wbNw5eXl5Qq9X1ci5TEpdRgFHf/sNgQGbj273XMHvNGai1OrFLIaJKxKYXYPS3/zAYkFkQBOCDbdF4f+slsUuxSrUKB7169cLRo0fxr3/9C0ePHjX4gn63jz76COPHj0fr1q2xdu1a/Pzzz8jLy0Pfvn1x6ZLhX3hpaSmioqIwcOBAbN68Ge+99x6mTp2KwsJCrF271mDf7OxsbN68GRMnToRCoaiXc5mK6KRcPLb0MG5lcnwBmZeNpxMx6cdjyC2u/POAiMRx9EYGHln8D26ksy83mZcfDt7EzF9OoUTDsTGNqVbdijIyMvDII4/g4MGDAACFQoFu3brh4YcfxksvvQQHBwfEx8cjNDQU06dPx1dffVXx3Pz8fDRv3hz9+vXDmjVrAOjv5i9fvhw//vgjpkyZYnCuLl26QKVS4Z9//qnYtmTJEsyYMQPnz59H27Zt6+1cYjsZl4Upy44ht4jL1ZP5CvNyxLKp3eDjzJmMiMS27kQ83tp4HmotJyYk89Ur1A3fPd0FTiqF2KVYhVq1HLi5ueHAgQM4fvw4FixYgFGjRuHq1auYM2cO2rVrh/T0dOzYsQMajQZPP/00NBpNxY9KpUJERAT27dtndNxHH33UaNuUKVNw6NAhXLlypWLbTz/9hG7duqFt27YAUG/nEtPfV9Mw8fujDAZk9q6k5GH0t4cQnWTcHZCIGs8nf1zG6+vPMRiQ2Tt8IwNjlx5GWl6J2KVYhTqNHO7atSvefPNNrFu3Drdv38bs2bMRGxuLhQsXIiUlBQDQrVs3KBQKg581a9YgPd2wP72dnR2cnJyMzjFhwgQolUosW7YMAHDp0iUcP37c4K5/fZ1LLFvP3cYzy4+jSM1mM7IMybnFGLv0MPs3E4nk9XVnsWT/dbHLIKo3l5PzMO67w7idXSR2KRbPeERxLSkUCsydOxdffPEFLly4gFGjRgEA1q9fj6CgoAc+XyKRVLrdxcUFo0aNwooVK/DBBx/gp59+gkqlwvjx4yv2cXd3r5dzieGXo7fwzqbz0PHGDlmYvBINpi47jmVTu6FHiJvY5RBZjXc2XcC6k5xSnCzPjfQCjP3uMFY92wNBbvZil2OxahUOkpKS4OPjY7Q9OjoaAODr64vIyEjI5XJcv369zl14pkyZgrVr12L79u1YuXIlRo8ejSZNmlQ8Xp/nakyL917Dwh1XHrwjkZkqUmsx9afjWPFMD3QJchG7HCKL98G2S1h5JE7sMogaTEJWER5fqg8Izb0cxS7HItUqHERGRsLf3x8PP/wwWrZsCZ1OhzNnzuCzzz6Dg4MDXn75ZQQHB2P+/Pl4++23cePGDQwbNgwuLi5ISUnBsWPHYG9vX+1ZgoYOHQp/f3/MmDEDycnJRgOJ6/NcjeWr3TH4fNdVscsganAFpVpM/vEYVj7bAx0CmohdDpHF+nzXFXx/4KbYZRA1uNS8Eoz73xH8/Ex3tPF1Frsci1OrMQfvvPMOXFxc8MUXXyAqKgoPPfQQvvrqKwwePBjHjh1Du3btAABz5szB+vXrcfXqVUyaNAmRkZF44403EBcXh379+lW/SKkUTz/9NBISEhAQEFDpugT1da7G8PPhOAYDsip5JRo89eNRXLydI3YpRBZpyb5r+Gr3NbHLIGo0mQWlmPj9UdxIyxe7FItTq6lMqfZ+P3sbL68+zTEGZJVc7BT4ZVpPtPIxnQkBiMzdT//cxHu/c7Eosk6BrnbYMCMc7g5KsUuxGHWarYhqZv+VVLyy9gyDAVmtrEI1Jn5/FDEpeWKXQmQRfj12C/O5iixZsVuZhZi67DgKSzkVfH1hOGgkp+Ky8MLKU5xvmqxeRkEpnmRTMFGdbTqdiLc3ngfb/8nanUvIwUu/nIaWd1/rBcNBI7icnIspy7iOAVG5tLwSTPrpGDILSsUuhcgs/XEhCa+uO8uWaKIyey6n4t1NF8QuwyJwzEEDi88sxKNLDiGVq/oRGeke4oqVz/SAjZz3KYiqa8/lVDz/8wmrbYkuvnUOKb++Velj3hM/hdKvJQSdFnkntqAo9jTUaXHQFedD5uQBu+Y94dzzMUhVDtU6l660GLlH16Mg+m9oclMhVdhC4RkMt8iXoHD1AwBoctOQ+dd3UKfehLYwG5DIIG/iDYf2Q+DYaTgkUtmd2uMvIPOv/0GTnQQbz1C4Rr4IG/dAg3Nm7FwCdXocvMZ/bFLrMpmLV4e2wMyBzcUuw6zV2yJoZCw9vwQTfzjKYEB0H8duZuKdTRew8LH2YpdCZBYu3s7BjFUnrTYY3K1Jv6ehCjT87FB46BdCFTSlyP7nF9i3ioBD+6GQ2TmhNPk6cg6vQdG1Y/Ce9AWkiqoHsOpKi5Dy61vQ5mfAqefjsPEIhq6kECWJ0RA0d67rgroYUqUdnMOfgMzJA9BqUHTjBLLKAoPbQ//SH684H2kbPoRdWDhc+k9B3sktSNv4EXyf+bYiQJQkXkbB+V3wmfwlg0EtfbbzKnydbfFoF3+xSzFbDAcNRK3VYfrKk4jLKBS7FCKTtvZEPJp5OuC5fqFil0Jk0jLyS/DcipMoVuvELsUkyF18ofRrWeljErkN/F74ATLbOzOjqQLbQ+bkgfTNC1B49RAc2gyo8vjZf/8MdUY8fKZ+A0UT74rtds17GOyncAuA+4hXDLbZNu0KbWEO8i/shuuQ6ZDIFShJvAxBq9b/WSaHwj0QiYsnQZN1Gwq3AAhaDTJ2fAOnHo9C4RZQ05eD7vLvDefg6aRE3+YeYpdiltiW30DmbbmI47FZYpdBZBYW/BGN3dEpYpdBZLI0Wh1e/OUUErOLxC7FLEikMoNgUE7p2wIAoM1Nq/L5OnUx8s/thF1YH4NgUBMyOydAIgGk+q9agrYUEpkCEpn+vqzUxla/XaMGAOQe2wBBq4Fzz7G1Oh/dodYKmL7yFKKTcsUuxSwxHDSAX47GYdXRW2KXQWQ2dALw8uozuJLMKU6JKvP+tmgcuZEpdhkmJXPXUsQtjMKtLx5Hypp3UZxw8YHPKY47BwBQuAdVuV9p8jUI6mIoXH2RseNbxC8ah7j/PoKk5bNQeP14pc8RBAGCTgttcT4Kov9G/vndcOo2uqLLkI13c+hKi5B3ejt0xfnIObwWUlsnyF39oM5KQs7hNXAb9hIkckUNXwmqTH6JBpN/OsZAXQsckFzPTsRmYvz/HWF/UKJa8HexxeYXe8ONi9kQVVh3Ih6vrz8ndhkmozTlOvLP74YqsB2kto7QZCUh99gGqDMT4fnYXNiGdqn0eZq8dCQtnwW5owe8n/4MEsn9748WXNqP9N//C4mNHWw8guHU81FAIkXusY0ouXUeno/PMzpPzpF1yN6/vOxPEjj1GguXfk8Z7JN3ejsyd/8P0GogUdrDfcQrsGveAymr34Hc2bNifALVn5bejtj8Ym8oFbIH70wAGA7qVVpeCUZ+fQApuRyATFRbXYNc8Mu0npzBiAjAuYRsPL70MEo0HGdQFV1xPm7/+BKkKgf4Tv3G6HFtUR5Sfp0DbUE2vJ/69IFdhQou7UP6759CausEv+e/h1Rppz+Puhi3//cc5M7e8J640PAc+VnQ5KVDV5yH4rhzyD2xCY4dhsF1yAuGtZYWQ5uXBrmzNyRyBfIv7EHW3h/hO20pIAjI/Gspim+ehlRpB6fuY+DYaXgdXx2aHB6MeVFtxC7DbPDqW0+0OgH/Wn2awYCojk7EZeGTPy+LXQaR6HKL1Xjxl1MMBtUgVTnAtmk3qNNioVMbXoe1xflIXfMOtPmZ8Br3frXGEEhVjgAApV+rimAAAFKFCsqAdihNuW70HJmDC5Q+zWEb0hku/SejSZ+JyDu11WhfqY0KCrcASOQKaItykbX3B7gOmgaZygFZu/8HXVE+/J7/P7hHvYGsvT9WdIWi2lt2KBZ7L6eKXYbZYDioJ5/tvILD1zPELoPIIvz4z01+kJPVe2P9OcRnsr909ek7Qtw9Bai2OB+pq9+GJicFXuPeh41nSLWOpKhyP0E/0PgBlD76wc/qzMT77pO15wfYeDWDfesIAEDRjZNw7DwcUqU9lD4toArphKIbJ6pVM1Xt9fVnkZ7PG7jVwXBQD/ZcTsWS/cZ3EYiodgQBeG3dWaTkFotdCpEofvrnJv68kCx2GWZDW5yPomvHofAMhURuU7EtdfXb0GQnw3Ps+7Dxalrt48kdXKH0bYmSxGjoSu5MSa5TF6Mk/gKUvmEPPEbxLf0df7mLb+WPx51D4ZWDcB06/c5GQYBQeudzTygt1n8gUp2l55fi9XVshakOrnNQR1kFpXhz/Tn+2yWqZxkFpZi15gxWPdMDUikXAyLrcS4hGx9vZ9e6+0nb8l/InTxg490MMjsnqDNvI/f4JmgLs+E2YjYAQKcuQerad1GacgMug6YBOi1KEu+8plI7ZyhcfCr+HLcwCqrAtvB64qOKbU0GPIOU1XOQsvZdOPd4DJBIkHtsI7SFufB4ZGLFftkHVkFbmAVVQFvIHNygKylA0Y2TyD+7A3ZhfaD0bmb0OwgaNTJ2fAPn3k8adHNShXRGzqHVkCrtoM66jeK4s3Dq8Wi9vn7WbO+VVCw7FIvJ4cFil2LSOCC5jmb+cgq/n0sSuwwiizXnoZZ4PqL6d/yIzFlusRojvjrA7kRVyDmyDgXRB6DJSYFQWgSprSOU/q3h3PPxiq48mpwUJC595r7HsG87CO5lQQIA4j4ZCWVAW3g/ucBgv+KEi8j++2eUJscAAJS+YXDu8xRU/q0q9im8dhR5J35HaXosdEV5kMhtoHALgH2bAXDsNLxiKtO7Zf/9MwqvH4PPpEUGj2sLc5C5czGKYs9AamMHp+6PwKnrqNq9UFQppVyKzS/1Rktv43UwSI/hoA62n0/CjFWnxC6DyKLxg5ysyVsbzuOXY1wnh6ghhXk5YstLnN70fjjmoJYy8kvw7qYLYpdBZPFKNDrMXnMGpZyxhSzcybgs/HqcwYCooV1JycPHf7Dr3v0wHNTSu5svIKOgVOwyiKxCdFIevth1VewyiBqMWqvDWxvOc/waUSNZdigW+65wVrzKMBzUwtazt7H9PGeRIGpM3/19HecSssUug6hB/N/fN3AlJU/sMoisymvrOL1pZRgOaig9vwT/2XJR7DKIrI5OAP6zmf/2yPLcyijEV3tixC6DyOqk55fi7Y3nxS7D5DAc1NA7my4gk92JiERxJj4bv3KwJlmY/2y+gGI1x9QQiWHHxRQcjEkXuwyTwnBQA39eSOaiNEQiW/jnZWQXMqCTZfj97G3su5omdhlEVu2DbZeg1XHATzmGg2oq1ejw0fZoscsgsnpZhWos/POK2GUQ1VlukRrzt14Suwwiq3c5OQ9rOFNYBYaDalp2KBa3MgsfvCMRNbjVx2/hbHy22GUQ1cknf15GWh4HQxKZgs93XUVesVrsMkwCw0E1ZBaU4hsOFiMyGfrByRegYzMwmalTcVlc7IzIhKTnl+KbPdfELsMkMBxUwxe7riK3WCN2GUR0l7MJOVh9PF7sMohqTKPV4a2NXNOAyNT89E8sbmWwlwjDwQNcS83n7ChEJuq/Oy4ji7OHkZlZdigWl5O5pgGRqSnV6vDRHxxfynDwAB9ui4aGXReITFJWoRqL910Xuwyiaisq1WIJ37NEJuvPC8k4eiND7DJExXBQhQMxadjLpbWJTNrKI3Fc4ZLMxi/H4pDB1i4ik/b+tktWPaaN4eA+tDoBH2xl0xKRqStSa/Hd/htil0H0QCV8rxKZhQuJufjtVILYZYiG4eA+Np1JxJUU9gklMgcrj8RxSkgyeWtOxCOV71Mis/DfHVdQUGKdk9EwHNzHUvYJJTIbRWotvvub/2bJdJVqdLyuEJmR1LwSfH/wpthliILhoBJ/RacgJjVf7DKIqAZWHbnF1gMyWb+dSsDtnGKxyyCiGlh+KBbFaq3YZTQ6udgFmKLGuruTvu0LFFzYfd/HvSd+CqVfSwiCgPyzO5B/5g+os25DIpVD4REEpx6Pwq5ptyrPoclJQeLSZ+77uCqkM7zGzq/0saLYM0hd8w4AwH/mKsjsnCseK46/gMy//gdNdhJsPEPhGvkibNwDDZ6fsXMJ1Olx8Br/MSQSSZV1EtVVeevBOyNai10KkQGNVofF+7i4EpG5ySwoxdoT8Xi6V7DYpTQqhoN7HI/NxIm4rEY5l3P4E3Ds+JDR9tTf5kMiU8DGpzkAIOfgKuQcWg2Hjg+hScRkCNpS5J3cirT178HjkbdgFxZ+33PI7F3hPfFTo+2FMUeQe3Q97Fr0qvR5utIiZPz5NWQOrtDmZxo+VpyPtA0fwi4sHC79pyDv5BakbfwIvs98C4lUBgAoSbyMgvO74DP5SwYDajSrjtzC8/2awsNRKXYpRBU2nUlEfGaR2GUQUS18f+AmJvQIgkxqPd9l2K3oHkv3N16fUIWLD5R+LQ1+BK0auqJcOLQbXPFFO//cLij9W8Mt8kXYhnSCXbMe8Hz0XUiU9sivouUBACRyhdE5lH4tUZJ0BRKFEvatIip9Xvb+ZZCpHODQbojRYyWJlyFo1XAdMh22IZ3gGvkSNJkJ0GTdBgAIWg0ydnwDpx6PQuEWUMdXiaj6OPaATI1WJ+DbvXxPEpmrW5mF+ONCkthlNCqGg7tcTcnDnsvirmuQf24nAAns29/1pVwmh1Rpb7CfRG4DiVwBidymxudQZyWh5NYF2IX1hVRpZ/R4cfwF5J3ZAddhMwGp8VtE0JZCIlNAItM3PEltbPXbNWoAQO6xDRC0Gjj3HFvj2ojqatWRW8gtVotdBhEAYOu527iZXiB2GURUB//727qmIGY4uMt3+69DEHHNC11JAQqvHIIqqAMUTbwrtjt1iULRjZPIO7sT2uJ8aPIzkbn7/yCUFMKxy8M1Pk/++V0ABDh0GGpcg7oEGX98BaeuUVB6N6v0+TbezaErLULe6e3QFecj5/BaSG2dIHf1gzorCTmH18Bt2EuQyBU1ro2ororUWmw4lSh2GUQAgG/2cKwBkbk7l5CDw9etZ9Vkjjkok5hdhC1nb4taQ8Gl/RA0JXBob9iVx6nbKEgUNsjctQSZf34FAJCqHOHx6H+g8q/Z4EtBp0XB+d2Qu/pX+tycAysBQQfnPhPuewy5kwdcBz+HzN3/Q+bOxZAo7eE+4hVIFUqk7fgW9q0ioApoW6O6iOrTL0fjMDk8WOwyyMr9cSGJM98RWYjlh2PRq6mb2GU0CoaDMj/9cxNqrbhLZeef2wWprRPsWoQbbc/8639w6jwSqtAugFaD/It7kLbhfXg88hZsQ7tU+xxFN09Bm5+BJv2nGj1WcvsKck9shufY+ZAqqh7Q6dhpOOzbDIQ2Lw1yZ29I5ArkX9iD0rRYuD/yb2iL8pD511IU3zwNqdIOTt3HwLHT8GrXSVQXV1PycexmJrqHuIpdClmxlUfixC6BiOrJrkspSMopgo+zrdilNDh2KwJQotFi/Ulxl8kuTb2J0uQY2Lfub9AdR1ucj8xdS+HYYShcBj4D2+COsG3aFR5Rb8DGuzkydi6u0Xnyz+0EpHI4tB1o9FjGH1/CrkU4lN7NoCvOh644v2Icga60CLqSQoP9pTYqKNwCIJEroC3KRdbeH+A6aBpkKgdk7f4fdEX58Hv+/+Ae9Qay9v6I4rhztXhliGpn1VF+MSPxJOUUWVU3BCJLp9UJWHX0lthlNAq2HADYcSEZ2YXiDmDUD0SG0TgATUYCBE0JbLxbGD1H6d0cJfEXoCstqhgUXBVtQTaKrh2HXbPukNk3MXpcnX4L6vRbKLxy0Oix2989C4VnCHynfF3psbP2/AAbr2awb62f/ajoxkm4DX8ZUqU9lD4toArphKIbJ6AKav/AOonqwx/nk/GfkSVwc+C0ptT4Np1OhE7cxmgiqmerj93CvwY2h43csu+tMxwAWH08XtTzCxo1Ci7ug41PC9h4BBs8JnPUd4souX0ZDu0G3XmOIKDk9hVIVQ6QKFTVOk/+hT2ATgOH9sYDkQHAa/xHxs85vxsFF3bDY8w7kDlU3teuOO4cCq8chM/Ub+/6pQQIpXdWAxVKiyHqaG+yOqVaHdadTMALEU3FLoWsEAfFE1me9PxS/HEhCaM6+oldSoOy+nBwK6MQh2+I2/RbGHMYuuI8OLSfZPSY3MkTdi3CkX92ByQyBWybdoWgVaPg/G6UJF6Cc9+JBouMxS2MgiqwLbyeqOSL/rmdkDl6QBXaudI6VIHGd/WLb50HACj9WhmskFxO0KiRseMbOPd+0mCGJVVIZ+QcWg2p0g7qrNsojjsLpx6PPvjFIKpHvx67xXBAje5cQjYHIhNZqBWH4xgOLN36U/Gi39DOP7cLEoUK9q36Vfq4+8OvIffkVhRc3IP887sgkcohd/WF28hXYd+6v+HOgg6CTmd0jOKEaGgyE+AcPh4SSf01h+UcWg2JQgmnbo8YbHcd/Bwydy5G2u+fQmpjVzFegqgxxWUU4u+raejXwkPsUsiKsNWAyHKdjMtCfGYhAlyN14myFBJBEPursbj6LtzDZe2JLNiwtt5YOrH6M3oR1YVaq0PPj3Yjo6BU7FKIqIG8PaIVpvUNFbuMBmPZIyoe4ERsJoMBkYXbezkVeVwxmRrJvitpDAZEFu7PC8lil9CgrDocbDrNpl8iS1ei0eGv6FSxyyArsfG0uNNiE1HDO3UrC6m5xQ/e0UxZbThQa3XYej5J7DKIqBFs5791agS5RWrsZhAlsniCAOy8lCJ2GQ3GasPBoWvpoq9tQESN4++raexaRA1u67nbKNEYTwhBRJbHkrsWWW042HMlTewSiKiRlGh0vKNLDe43zlJEZDWO3MhATpFl3nSy2nCw7wq/KBBZk10W3ARM4ruVUYiTcVlil0FEjUSjE/CXhV5XrDIcXE/LR1xGodhlEFEj2n81DaXs8kENZA9vOBFZnT8vWmbXIqsMB2w1ILI++SUaHBF5NXSyXAdi2FWVyNr8fTUNhaUascuod1YZDvZe5oc4kTVi1yJqCGqtDkeuM3gSWZsSjc4iv1NaXTgoLNXg2M1MscsgIhHsZashNYBTt7JQUKoVuwwiEsEOC+xaZHXh4J9r6SjVst8xkTVKyCrC7Wyuik7162BMutglEJFI9lxORYnGsm4OWF04sMTmHyKqvuOxbDmk+nWA4YDIauWXaHAuIUfsMuqV1YUDDkYmsm7HYzndJNWf3GI1zida1hcDIqqZs/HZYpdQr6wqHNzKKMTtnGKxyyAiER3nmCOqR6fisqDVCWKXQUQiYsuBGTuXkC12CUQksqupeci10FUtqfGxJYqIzrDlwHydtbBkR0Q1JwjACa5kS/XkBMewEFm9W5mFyCooFbuMemNV4YAtB0QEsGsR1Y9Sjc7i7hgSUe2ctaDvmFYTDnQ6ARc4aIyIwBmLqH6cT8xBiYZTYxORZfVOsZpwcC0tn4vUEBEA/eCxEjU/D6hu2KWIiMpZ0oxFVhMO2KWIiMqVanW4eDtX7DLIzPE9RETlLOl7ptWEg7PxltPcQ0R1F5OaL3YJZOZiMwrELoGITER6fikSsgrFLqNeWE04sKRER0R1dz2N4YDqJjad4YCI7rCUG9FWEQ5KNTpEJ+WJXQYRmRCGA6qL9PwS5BZrxC6DiEyIpcxYZBXhIC6jAKVazihBRHdcZ7ciqgO2GhDRvSxlULJVhIP4rCKxSyAiExOfVYRSTkNJtcTxBkR0r0sWMkmBVYQDSxkgQkT1R6sT+AWPau1mOq8rRGQor0SDvGK12GXUmVWEg/hMthwQkTGOO6DaupnO9w4RGUvNLRG7hDqzjnDAlgMiqsT1VLYcUO3EsuWAiCqRnFssdgl1ZhXhgN2KiKgybDmg2mKXNCKqTArDgXlgtyIiqsxNzjhDtZCSW4zCUq3YZRCRCWI4MAN5xWrkFJn/4BAiqn/p+ebfN5QaH6cxJaL7SeaYA9OXwGlMieg+sgpKxS6BzNANhgMiug+2HJgBjjcgovspKNWiRMPuIVQz8Zm8rhBR5VJyGA5MXpIF/CURUcPJKmC3Q6qZXHZVJaL7YMuBGeB4AyKqSlYhuxZRzRSp2dpERJVLzeOYA5OXW6QRuwQiMmGZHHdANcSZiojofjQ6AWlmHhAsPxxYwDLWRNRw2HJANVXEcEBEVTD3rkWWHw7YrYiIqsAxB1RT7FZERFUx91WSLT4c5JewWxER3V8mWw6ohtitiIiqYu43pi0+HLD5l4iqks1wQDXElgMiqopGJ4hdQp1YfDgo5hzmRFSFYn7RoxriTSciqopGy3Bg0opKdWKXQEQmTMuPCKqhwlJ2VyWi+9OaecuBXOwCGhpXP6WuQS74aEw7scsgE+WkUohdApkZdiuill6O6NvCHZ0CXRDsZge5zOLvtVINeDgqxS6hTqwgHPC2oLW7kVaA5p4OkEgkYpdCRBagWM3rirVo6eWIPi3c0TnQBc09HeDlrIKDUg4prydkwSw+HCik/Ads7TILS1FYqoW90uLf7kTUwNilyDK18HJAvxYeDAFEsIJwYCNnUx8B11Lz0SGgidhlEJGZ4zSm5u3uENDM0wHeDAFERiw+HCjlMrFLIBPwd0wawwER1ZnOzAcaWosWXg7o19wDHQOboIWXI0MAUQ1YfDhgywEBwPqTCZg5sLnxA3veBwqzGr8gMh0B3YEOT4hdBZkJB5XFXzbNSgsvB/Rt5oFOQWUhwEkFB1UjhABNMZB+FUi9DKRdAYp4HaG7tHkECOkndhW1ZvGfcgwHBABxGYUoUWuhVNzTkpR6Gbi8VZyiyDToNAwHVG12NnIoZBKozXwec3PTzMMeES080SmoCZp7OsLHWaQQkBYNpEYD2XGAjl3M6D48WzEcmDKGAyoXm1GIMG9Hw41BvRgOrJ2UXQ+pZhxVCmQWcGXthlAeAsq7AzV6CEi7UhYEooG0y0BWLEMA1ZzUvL9em3f11aDk3MNU5vCNDONwEBguTjFkOmRc54BqxkklZzioo2Ye9ujXwgOdAl0aOQSUlIWAy2UhoCwIMARQfWI4MG1sOaByv51MwOTwYMONPh0AGwegNF+UmsgE2LmJXQGZGUcunFdtoR726F8RAhzg42zb+CGgIggwBFAjsbEXu4I6YTggq3E+MQcarc5wJUupTD8g9foe8Qojcdm5i10BmRknW4u/dNZYeQjoWBYCfBs9BJSPBygLA1k3GQJIPA6eYldQJxb/CadkOKC7JGYXIcjtnkQf2IvhwJrZe4hdAZkZJytuOQj1sEdEcw90CrorBCjlkDb0gqOaEiAj5q7xAFf0A4MZAsgUOXiJXUGdWHw4cHNQil0CmZDjsVnG4SColzjFkGmwZ7ciqhknW8sPB6HudujXwhOdg+50B3Js9BBQ3iWIIYDMDFsOTJu3k0rsEsiE/H4mEY918Tfc6N8NkNkAWg4wtEpsOaAasqSWgxA3O0SEeaJz+exATRo5BJS3ADAEkKVQ2AIqZ7GrqBOLDwdeDAd0l/0x6dDpBMMLn1wF+HYC4o+KVxiJh2MOqIbMccxBiJsd+oV5oktjhwBtKZAec+fLf3lrQOYNhgCyTPbm3WoAWEE48HZmOCBDKXnF8HG2NdwYFM5wYI2kcsDOVewqyMyY8mxF+hDggS7lU4Q2UcFRqWjcEHD37EAMAWRtzLxLEWAF4cDLiWMOyNDZ+OzKw8HBL8QpiMTDaUypFpxU4l86g9zs0L8sBDT3coRvo4eAu2cHigYyb+pXGyeydmY+GBmwinCggkQCCFzpnspsO5+EYW19DDcG9AAkUkDQiVMUicOeXYqo5pwbcUByeQjoHOCCFt6NHAIyrt358p96d3cghgCi+2I4MH0KmRRu9jZIz+dgU9L743wShCcESO6ef1vlDHi1AZLPi1cYNT4ORqZaaIjuqkFudohoUdYdyFu/YrCTSoQQUD5AmCGAqHbYrcg8eDmpGA6ogkYHZBaUGk9zGxTOcGBtGA6oFkLca7/6aaCrHSJauKNrkCuaeznAt4mtCCHgrilCGQKI6hdbDsyDt7MKF2/nil0GmZCLt3PRr8U9XwwDw4Gj34lTEInDvYXYFZAZsrORw8tJiZTckvvuE+Biqx8TEOSqXyys0UKA2niK0LTLQMZ1hgCixsCWA/PAtQ7oXjsvJhuHAy6GZn08W4ldAZmpUHcHpOSWVBoCHFUKyBolBFy7a4rQsgHCDAFE4nLyFbuCOrOKcBDqUfsmYLJMG0/fxvuPtDUcd+DgBbiG6pvZyTowHFAt/TC5K5RyWeOGgHunCNWqG/bcRFQzUhng0VLsKurMKsJBKx8nsUsgE1NQqkFeicZ4pdOg3gwH1kKuBFxCxK6CzJSdTT1fPitCwJV7Zge6zhBAZC7cmulXSDZz1hEOvBkOyNiV5Dx0C75nAaygXsDpn8UpiBqXewv9XR6ixqRV67/wG80OxBBAZPa824tdQb2winDgYm8DbycVknOLxS6FTMi+y6nG4SAwXJxiqPGxSxE1JIMQcPfsQAwBRBaL4cC8tPJxYjggA+tPJeC1yDDDcQeuIYCjD5CXJF5h1Dg8GA6oHug0d7oDlc8OxBBAZJ18GA7MSmtfJ+y9kip2GWRCUnJLUKTWGvcdDgoHLvwmTlHUeDzNf9AYiWzTdOD8OoYAItLzbid2BfVCKnYBjaWVj6PYJZAJupFWYLwxkFOaWgXP1mJXQOZO6chgQER6Tn6AnZvYVdQLKwoHHJRMxg7GpBtvDOK4A4unsANcgsWugsydV1uxKyAiU2EhrQaAFYWDEDd72Co4MwkZWn8y3nijVxvA1qXxi6HGw8HIVB8s6MsAEdWRBX0eWE04kEolCPNm1yIydC2tAKUanfEDAT0avxhqPMF9xK6ALIFXW8DGQewqiMgU+HQQu4J6YzXhAAA6BTYRuwQyQbcyC403smuRZQvuK3YFZAlkCn5WEJEeWw7MU89QyxgoQvXr6I0M44284FsumUK/2B1RfQiNELsCIhKbrYtFjWOzqnDQI8QVd09pTwQAv51KNN7o01E/aJUsj29ndgWh+hPaX+wKiEhsFvY5YFXhoImdDVp5c9YiMnTqVhY0unvGHcgUgH9XcQqihhXCLkVUj7zaAg6eYldBRGJqNljsCuqVVYUDAOgZ6ip2CWSCkrIrWT2bXYssUwi7gVA9C+kndgVEJBaJBGg+ROwq6pXVhYM+zT3ELoFM0Km4LOONgQwHFkeuBAK6i10FWRoL61JARDXg3R5w8BK7inpldeGgZ6grbGRW92vTA2w+e9t4Y0A3ffcishz+3QG5SuwqyNIwHBBZLwtrNQCsMBzY2cjRNZgLXJGhPZdToRMEw40KO4uat5jA7h/UMJwDANdQsasgIjE0YziwCBEt2LWIjKXnlRhvZNciy8LByNRQQgeIXQERNTZbF8C/m9hV1DurDAf9wzizBBk7E59tvJHz4VsOWxfAjzNQUQNh1yIi69N0ICCViV1FvbPKcBDm7YhgN85hT4b+vJhsvDGwF7g4hoVoPYpjSKjhhPQDJFZ5SSWyXhY2hWk5q/0ki+roK3YJZGK2nkuCcO+4A1sXwKOVOAVR/Wr7qNgVkCWzbcJpcomsiQVOYVrOasPBqA5+YpdAJqZUo0N2kdr4Aa53YP4cfYDgPmJXQZauwxNiV0BEjcWnI2BvmWNYrTYcNPV0QBtfrpZMhi7dzjXeGMhxB2avzWh2+aCG1+phwMZB7CqIqDGEPSR2BQ1GLnYBYhrV0Q8XK/sySFZrd3QKejdzN9zYAC0He25qsPKcGofitYjP1aGJSoKuvjL8p58SXXzvDG46eEuDZWfUOJ2sxYVUHUq1wM2XHRDc5MFfdHNLBHx9tBS7bmhwOV2H/FIBIS5STGynwMs9baCSG4+luJCqxXv7S7AvVovcEgE+DhIMby7H4hG2Ffv8HafBy38W41qmDp28ZVg6UoXWHoYDsl7cVoQLaTrsm2QHiSmM2WCXImoMNvb6gHD2V7ErIaKGJJECHZ8Uu4oGY9W30h7u4MOxpmRg/ckE43EHTr6AS3C9nmfJiVLEZuvwcg8bbH/SDl8OUyG1QEDPHwqw56amYr/dN7T464YGgc5ShAfUbEaEWzk6LDpais4+MvzvYRW2jLfDY60UmLe/BCN/KTT6Pffe1KD7/xUgt0TA0hEq7Jxoh/cHKA1CRHaxgNFritDNV4YNY+3grJJgzJoiaHV3jnUkQYMfz6jx3UiVaQQDlxDAn7MUUSPpMF7sCoiooTUdoF/fxEJZdcuBj7Mtuge74ujNTLFLIRORW6xBQYkGDqp7ZrUJ7AVkxdbbeb4droKnvWE2H9ZMjmZf5eOjAyUYGKL/p/luhA3m9lcCAD49pL+jX10hTaSIfdkB9jZ3vqAPDJHD3gZ4fVcJ/onXok+g/jyFagETNhRhYIgcv4+3NfhS/9Rd68AdjtegRCPg2+EqKGQStPGUwu/zfMRk6tDSXQa1VsBzvxfjzd42aOluItO7sdWAGlNIX8DZH8hJELsSImoonZ4Wu4IGZdUtBwAwirMW0T2upuYbbwzqXa/nuDcYAICDjQStPaSIz71zF15ahzvv9jYSg2BQrruf/kt7fM6d86y7qEZSvoDXw22qvNtfrAGUcgkUMklFzeXbAeDTQ6Uo1QJz+ihrXXe9a8dwQI1IIgXajxO7CiJqKPbuQMvhYlfRoKw+HDzU1qfiiw4RAOy/kma8sREWQ8spFnAqSYs2Hg37z7K821Ibzzvn+TtO3yKhFYA+PxbA5v1cuHySi/G/FeJ2nq5iv66+MuSVCFhyvBTZxQI+OlACN1sJwtykuJ6pwwcHSvC/h1VQVjKeQRSerfU/RI2JsxYRWa72TwAyG7GraFBWHw5c7G0Q0cIyp6Ki2ll/Mt543IFbM8ChYVfWfnF7MQrUwNt9G+6u+7kULRb+U4rRLeVo73Wn209iWQB4dG0hegfIsGOiHRYMUmHXdS0ilhWiUK1/PQKcpfhymAqzdhTD5ZM8LD1Rih9HqWCrkOCFbUUY31aBfkEm1Fux3eNiV0DWyL0F4NdZ7CqIqCF0tuwuRYCVjzko93SvYPwVnSp2GWQiErOLUaLRQaW4p898YC/g0uYGOee7e4qx6rwaXz+kMpitqD7FZusw8pdCBDhL8X2UrcFj5eOJx7VR4JMhKgDAgBDA20GCR9YU4ZfzajzbWX+nZHo3GzzdQYH4XB1CmkihlEvw89lSnEvRYe1jdsgsEjDzjyLsvK6FkxJ4PVyJF7qKcJdFrrKKD3EyUR3GA4mnxK6CiOpTQA/AI0zsKhqc1bccAEC/Fh5o7sm5qemOm+kFxhsbaDG09/aV4IMDpfhwoBIvdW+YL9Fx2ToMWF4AuRTY/bQdXG0Nu/242en/HNnU8H5BZDM5JABOJRkOhLa3kaCluwxKuQQZhTq8urMEiyJVcLGV4OU/i5FZJODaTAesftQOr+0sxt67ZmBqNO3H6fuGEomh7WOATPHg/YjIfFjJDSeGgzJT+4SIXQKZkEPX0o03BtZ/OHhvXwnm7S/BvAgl3mqg7kRx2Tr0X14AQQD2TrKHv5PxP/v2nlW3VkirGELw6s4SdPGVYnw7/RehP2I0mNHVBs4qCbr5yTC0qRzbY0QIB71mNP45icrZuQJhI8Sugojqi9JJv6CmFWA4KDOmkx9c7S17gAlV37pTlUxD6N1W/+FQT97frw8G7/S9M11pfbuVow8GWh2wZ5I9gu6zeNroVvoWgj+uGX6J/yNGAwFAT//Kw8Pemxqsu6TG4uF3uikJAArUd/bJLxUgGD+1YTUbBHi0bOyzEhnqM0vsCoiovrR9VL/QoRXgmIMySoUMT/YIxDd7roldCpmAy0l5UGt1UMju+jItkQKBPYCYXXU+/meHSvCffSUY1kyGES3kOJJg+KW8p7/+n2ZagQ77y2YSOp+qHzT8R4wGHvYSeNhJEBF855+wfH4uIoJl2P20/sMrtUDflSgpT8APUbZILdAhteDOzEP+TtKKVoSW7jK82E2BxSfUcLSR4KHmclzN0OGdPcXo5C3F2DbG3SNKNAKe31qMeRFKhLjceZ0im8owf38JnJRATIYOu29q8UbvRp7atOeLjXs+osr4dgKaDgSu7xG7EiKqKyvpUgQwHBh4umcQ/rf/Bkq1ugfvTBYvIasQIe73jEUJDK+XcPD7VX0Y+POaFn9eKzR6XJirb6G4mKbD4+uKDB6bsb0YABARJMO+yXf+CWsF4O637qU0HW5k6e/ZT9xoeAwAmBthg3n9VRV/XjRMBX8nKb4/rcbXx0rhbifBE20V+GiQCjaVTPf7wd8lsFMAs3sZtrh9OUyFGduL8eRvRXBSSvD5UCUGhzbiR41nK33LAZEp6PsKwwGRuQvua1UzkEkEozkbrdvsNWew8XSi2GWQCfjk0XYY1y3QcOOtw8CPw8QpiKon6murusNDZuCHoUD8UbGrIKLamrwNCO4jdhWNhmMO7vEMByZTmUpDol8X/RSZZJrs3YH2Y8WugshQ31fEroCIaiukn1UFA4DhwEhbP2d0D3EVuwwyAUduZEKru6dhTWajDwhkmro+w/BGpqfFMMC7ndhVEFFt9P+32BU0OoaDSswc2EzsEshEpOQWG28M6tX4hdCDyVVAt2fFroKocn1mi10BEdVUSD8gqLfYVTQ6hoNK9G3ugd7N3MQug0zAybgs440NsN4B1YMezwMOnmJXQVS5NqMBt6ZiV0FENWGFrQYAw8F9vTmsJSRVLPxE1mH7+STjjQHdAWnVi4ZRI7N1Yb9uMm0SKdCbrQdEZiMkwipbDQCGg/tq798Ew9v6iF0GiWzHpWQYTeildAS824tTEFWu32uAqonYVRBVrcMTgLO/2FUQUXVYaasBwHBQpVeHtoBcyuYDa6bTAen5pcYPBHLcgcloEgR0f07sKogeTKYAes8SuwoiepCQCCDIersQMxxUIdTDAWO7BohdBonsfGK28UYr/tAwOYPe1c8iRWQOuk4BPFuLXQURVWXAHLErEBXDwQO8PLg5VAq+TNZs58UU441sOTANvp2Ado+LXQVR9UnlwPD/il0FEd1P6ACrv8bzW+8DeDmpMLU3F0azZlvOJhqPO7B3B9xbiFMQ3TFkvtgVENVccB+g7aNiV0FE95IpgGEfiV2F6BgOquGFiKZwtlWIXQaJpLBUh9xitfEDVjqLgcloPkQ/BzWRORr6AWDjIHYVRHS3Xi+x2x8YDqrFyVaBV4bwLrE1u5yUZ7yRi6GJRyJlqwGZNydfIOINsasgonIuwUDEm2JXYRIYDqrpqZ5B6ODvLHYZJJLdlznuwKR0nsS7O2T+es5g90QiUzHiM0BhK3YVJoHhoJqkUgk+GtMOMk5tapXWn6hk3EGTQMCZs1k1Oic/YChbDcgCyBTAQwvFroKI2owBmg0WuwqTwXBQA218nTE5PFjsMkgEmYWlKCzVGj/ArkWN7+EvAaWT2FUQ1Y+mA4DWo8Sugsh6qZyBYR+LXYVJYTiooVeGtIBfEzY7WaNrqfnGGwO53kGj6vikfiAykSWJ/BBQ2IldBZF1GvQfwNFb7CpMCsNBDdkr5fh4TDuxyyARHIhJM97IloPG4+gNRPLuDlkg5wCg76tiV0Fkffy7Al2nil2FyZEIRh2pqTreWH8Oa0/Ei10GNaIgNzvsf32A8QMLQ4HCjMYvyNqMXw2EPSR2FUQNQ1sKfD8YSDordiVW4/tTpZj2ezHsFUD+W3e6Kkrey73vc8LcpLj8UtVT0L69uxjbr2kQl61DoRrwdZRgcKgcb/dVIqjJnXuy8/YV4739pfc9zq+P2uKJtvpp1P+O0+DlP4txLVOHTt4yLB2pQmsPmcH+L24rwoU0HfZNsoNEwvGRDySVA8/tA7x5w/decrELMFfvjGyF/VdTkZJbInYp1EjiMgpRotZCqTD8QEZgL+DyVnGKshbtxzIYkGWT2QCP/Qh8FwGUVtKFkepVYq4Or+0shq+jBDnFhvdIDz9j3MXraIIWs3aUYHTLB39tyi4WML6tAq3cpXBUSnApTYcP/i7BlisaXJxhDzc7fUB4trMNhjUzPt6034txPVNX8Vh2sYDRa4rwaCs5Fg5W4atjpRizpggXZ9hXTJJyJEGDH8+ocfp5ewaD6uo5ncHgPhgOaslJpcDHY9pj6rLjYpdCjSgusxAtvBwNNwYxHDQoB0/O6ELWwa0ZMHwhsGmG2JVYvBe2FaNfkByuthKsv2S4yGVPf+OvRt+dVEMC4JnONg889rcjDMcl9g8GQppIMPyXImy+osHUTvpj+DtJ4e9k2Ls7NluHi6k6TGivQBOV/kv+4XgNSjQCvh2ugkImQRtPKfw+z0dMpg4t3WVQawU893sx3uxtg5bu99y8osq5NQP6zxG7CpPFMQd1MLClJ6b2Dha7DGpEh65X0n2IKyU3rBGfA7YuYldB1Dg6TgDaPS52FRZt5blS7I/VYPEIVbX2zysRsO6iGhHBMjRzrd3XJg97/fPkD3j6j6dLIQB4tpOiYluxBlDKJVDI9GHBwUZSsR0APj1UilItMKePsla1WR2FLTB2BWBjL3YlJovhoI7mDG+FjgFNxC6DGslvJxOMN3q3B2yq7oNKtdT2UaDVw2JXQdS4Rn4BuISIXYVFSi3QYdafJVgwWGV01/5+Vl9Qo0ANPNvpwa0Gd9PoBBSpBZxO0mLWn8Vo4SbFmFaK++6vEwQsO6NGM1cpIoLvtF509ZUhr0TAkuOlyC4W8NGBErjZShDmJsX1TB0+OFCC/z2sglLO7kTVMuIzwKuN2FWYNIaDOlLIpPjmyU5wtr3/P3iyHOcTc6DR6gw3SmVAQHdxCrJkrqH6L0lE1kbpqB9/ION1pb7N2FaMMHcppnet/mv7w2k1mqiAR1tXvyd2cr4OivfzYPdRHjr/rwAaHbB3kl3FXf/K7LyuRXyugGc6GdYW4CzFl8NUmLWjGC6f5GHpiVL8OEoFW4UEL2wrwvi2CvQLYi/xauk0Ud86R1ViOKgH/i52+PTxDmKXQY0kMbvIeGMgpzStV3KVvtlX5Sx2JUTi8OsMDPyP2FVYlN8uqfH7VQ3+72FVtQftXkzV4miiFhPaKaCqwZ15dzsJjk+zx8Epdvi/h1XILBIwYHkhkvJ0933OD6dLIZcCkzsaB5fp3WyQ+YYjol+0R8prjogKU+Dns6U4l6LDf4fojz9hQyE8/puHpl/pAwTdw6stMPxTsaswCwwH9WRIay9M6xsqdhnUCI7HZhlvDOJiaPVqxKecRYKo97+ApoPErsIi5JcKeHF7MWZ2t4GvoxTZxQKyiwWUavUzFWUXCygoNZ7Z/YfT+sHKz1ZjIPLd5FIJuvrK0DtQjmc722DPJDvcyNJhwcHKv7SnF+qw5YoGI5rL4e1Q+VczexsJWrrLoJRLkFGow6s7S7AoUgUXWwle/rMYmUUCrs10wOpH7fDazmLsvampUc0WTekIjF2uH29AD8RwUI/eHBaGzoEcOGnpfj+TaLzRv6t+KkKqu04TgU5PiV0FkWkYvVQ/YxfVSXqhgJQCAZ8dLoXLJ3kVP79e0KBADbh8kocJGwxbhUu1An4+p0YXHyk6etdtFiB/Jyl8HSW4mqmt9PGfz6pRqgWe7Vy97k6v7ixBF18pxrfT7/9HjAYzutrAWSVBNz8ZhjaVY3sMw0GFqK/1MxRRtbCTWj2Sl40/GPHVAWQVqh/8BDJL+2PSodMJkErvamKWqwDfTkD8UfEKswS+ndjsS3Q3B09g9HfAyjEA1yytNW8HCfZOMl6/YMHBEuyP0+KPCXZwtzPsNrTligbphQLm96/7LEDXMnVIyBUQ1aLye7I/nFbD11GChypZ9+Bee29qsO6SGhem35kIQwBQcNfXjvxSAXy3lOn+HNBmtNhVmBWGg3rm28QWn4/tiKnLj/Nz3IKl5BXDx/me5smg3gwHdeHgCYxbyWZfons1HQgMmgv8NU/sSsyWSi5B/2DjrzzLzqghk2grfeyH06WwlQNPtrv/3Xz5/FxEBMuw+2n9tJjnUrSYvaMYj7VSINRFCqkEOJ+qxRdHSuFmK8Fr4cZB42iCBhfTdHirj03Fomb3U6IR8PzWYsyLUCLE5U7QiGwqw/z9JXBSAjEZOuy+qcUbvTm1Kfy6AJEfil2F2WE4aAADWnrizWEtseCPy2KXQg3kbHx2JeGgF3BQnHrMnkyhH4Ds7C92JUSmqc9sICcBOP692JVYhfgcHXZe12JiewWcVff/wq4VgLsnsPOyl8DXUYrPDpcgKV+ARgf4O0kwsrkcb/VVIsDZuOXgh9PVX2Dtg79LYKcAZvcy3PfLYSrM2F6MJ38rgpNSgs+HKjE41Mq/4tm6AI8vY5ffWpAIAu9vN5S5Wy5i+aFYscugBhDVwQdfje9suLE4B/gkGBDuPxsF3cfDXwJdJotdBZFp02mBNROAK3+IXQmRaZMpgCfXAU0HiF2JWeKA5AY0d2RrRLbxFrsMagDbzyfBKFernPVTpVHN9HiewYCoOqQy/foHfl3EroTIdEkkQNQ3DAZ1wHDQgKRSCb58oiO6BHEGI0uj0QGZBZVMSRfE9Q5qpP1YPbH7zgAAG3tJREFU4KGFYldBZD4UdsCTa/WLBBKRsUFzgQ5PiF2FWWM4aGAqhQzfP90Voe72YpdC9ezi7VzjjYFc76Dawh4CHlkidhVE5sfeHZj4G2DnJnYlRKal+3P68TlUJwwHjcDF3gbLp3aHhwNnDrAkuy4lG29ky0H1BPfVDxSTNt6AuSNHjuDxxx+Hj48PbGxs4O3tjcceewyHDx9utBpM3eLFi7Fs2TKxy6DqcA0FnlzD2b2IyrWKAh76ROwqLALDQSMJcLXDD5O7ws6mbgupkOnYdOa28bgDBy/Arak4BZkLv87A+F/1a0M0kq+//hq9e/dGQkICFi5ciL/++guffvopEhMT0adPH3zzzTeNVospYzgwM/7dgEe/ByS8lJOVazqI/xbqEV/FRtTevwkWT+gMGxlfdkuQV6xBXkklK1Cya9H9ebYCJvymX8q+kfzzzz+YNWsWhg8fjgMHDuCpp55Cv379MHHiRBw4cADDhw/Hyy+/jH/++afRaiKqNy1HctwOWbegcOCJlYCcvTPqC7+lNrL+YZ747qkuUMr50luCq8l5xhvZtahyLsHAUxsBO9dGPe3HH38MiUSCJUuWQC437MYkl8uxePFiSCQSLFiwAAAwb948SCQSnD59GmPGjIGTkxOcnZ0xceJEpKWlGTw/ODgYI0eOxMaNG9G+fXuoVCqEhobiq6++Mqrj1q1bmDhxIjw9PaFUKtGqVSt89tln0OnuTH0bGxsLiUSCTz/9FJ9//jlCQkLg4OCAXr164ciRI0bHPHHiBKKiouDq6gqVSoVOnTph7dq1BvssW7YMEokEe/fuxfTp0+Hu7g43NzeMGTMGt2/fNvhdLl68iP3790MikUAikSA4OLjGrzeJoPs0YMDbYldB1Ph8O5d1rzNe/Zpqj99QRTCgpSd+mNQNtgp2MTJ3ey+nGm8M6t34hZg6R2/g6c2Ao0+jnlar1WLv3r3o2rUr/P0rX2AtICAAXbp0wZ49e6DVaiu2jx49Gs2aNcP69esxb948bNq0CZGRkVCr1QbPP3PmDGbNmoXZs2dj48aNCA8Px8svv4xPP/20Yp+0tDSEh4dj586deP/997FlyxYMHjwYr732Gl566SWjmr799lvs2rULixYtwqpVq1BQUIDhw4cjJyenYp+9e/eid+/eyM7OxtKlS7F582Z07NgR48aNq7Rr0LPPPguFQoFffvkFCxcuxL59+zBx4sSKxzdu3IjQ0FB06tQJhw8fxuHDh7Fx48Zqv9Yksog3gGEf66dxJLIGnq31A/OVTmJXYnGsfPk88fRp7o5lU7th6k/HUVCqffATyCStP5WA1yLDILn7guwSrP8SnJckWl0mxd5d32LgEtzop05PT0dhYSFCQkKq3C8kJATHjh1DRkZGxbYxY8Zg4UJ9d42hQ4fCy8sLEyZMwNq1azFhwoSK/W7fvo3Tp0+jQ4cOAICHHnoIqampeP/99zFjxgzY2dnh888/R2JiIo4ePYru3bsDACIjI6HVarF06VLMmjULLVq0qDimo6Mjtm7dCplMfwPB19cX3bt3xx9//IEnntBP0Tdjxgy0adMGe/bsqWgRiYyMRHp6Ot566y08/fTTkErv3P8ZNmyYQYtGZmYm3njjDSQnJ8Pb2xudOnWCra0tnJyc0LNnz5q/2CS+njP0Xfa2/IuLMZJl82ojSku0tWDLgYh6hLjh52d6wEnFjGauUnJLUKyu5CIcxHEHAPSBYOpO/R0eE1Y+sPzukHd3AACAsWPHQi6XY+/evQbb27RpUxEMyj355JPIzc3FqVOnAAB79uxB69atK4JBucmTJ0MQBOzZs8dg+4gRIyqCAQC0b98eABAXFwcAuHbtGi5fvlxRo0ajqfgZPnw4kpKScOXKFYNjRkVFGfz53mOShej0FPDYT/oVYoksUXAfYMof+glAqEEwHIisc5ALVj7bA862/CA3V9fT8o03MhwA3u2BZ3aKOnuTu7s77OzscPPmzSr3i42Nhb29PVxd79yF8vY2XN1cLpfDzc3NoHWhsv3u3la+b0ZGBnx8jLtU+fr6GuxXzs3NcP56pVI/0K6oqAgAkJKSAgB47bXXoFAoDH5mzJgBQN9qUpNjkgVp8wjwxK+c5pQsT+tRwMQNgMpZ7EosGsOBCWjv3wSrn+sJV3sbsUuhWjgYk268MdDKByWH9AOmbBP9zo5MJsOAAQNw4sQJJCQkVLpPQkICTp48iYEDBxrcrU9ONlzHQqPRICMjw+hL9r373b2tfF83NzckJRl3MysfEOzu7l6D3+rO/nPmzMHx48cr/enYsWONjkkWpvkQ9scmy9LtWf36OJyVqMExHJiIVj5OWPNcT3g68k1vbtafjDfe6NUGsHVp/GJMQZvRJvWlZM6cORAEATNmzDAYcAzoByxPnz4dgiDg3//+t8Fjq1atMvjz2rVrodFo0L9/f4PtFy9exNmzZw22/fLLL3B0dETnzp0BAIMGDcKlS5cquhmVW7FiBSQSCQYMGFCj3yksLAzNmzfH2bNn0bVr10p/HB1rPl2sUqlkS4IlCeoNTPqd/bLJ/A18BxjxGdcxaCTs7G5Cmns5YtOLvfHM8uOITqpkikwySdfSClCq0cHm3ulpA3oAV/8UpyixdH9Ov0KlCX2A9+7dG4sWLcKsWbPQp08fvPTSSwgMDMStW7fw7bff4ujRo1i0aBHCww27gm3YsAFyuRxDhgzBxYsX8e6776JDhw4YO3aswX6+vr6IiorCvHnz4OPjg5UrV2LXrl345JNPYGenn15v9uzZWLFiBUaMGIH58+cjKCgI27Ztw+LFizF9+nSDwcjV9d133+Ghhx5CZGQkJk+eDD8/P2RmZiI6OhqnTp3CunXranzMdu3aYfXq1VizZg1CQ0OhUqnQrl27Gh+HTIhvR33/7BWPcJIEMj9SGTDyS6DzU2JXYlUYDkyMbxNbrHshHDN/OY29VyqZJpNM0q3MQjTzdDDcGNTbusLBwHeBfq+JXUWlZs6ciW7duuGzzz7Dq6++ioyMDLi6uqJPnz44ePAgevUy7ga2YcMGzJs3D0uWLIFEIsHDDz+MRYsWwcbGsPtfx44dMWXKFMydOxcxMTHw9fXF559/jtmzZ1fs4+HhgUOHDmHOnDmYM2cOcnNzERoaioULF+KVV16p1e80YMAAHDt2DB9++CFmzZqFrKwsuLm5oXXr1kYBprree+89JCUlYdq0acjLy0NQUBBiY2NrdSwyIR4tgak7gJ8fATJviF0NUfUobPWD68MeErsSqyMRyqfpIJOi1QmYv/USlh+KFbsUqoYPH2mLCT2DDDcmHAe+HyxOQY3Jwu7szJs3D++99x7S0tIeOBYgODgYbdu2xdatWxupOqI6KMoC1k0Bbux98L5EYrJ10S9uFtBD7Eqskum0/ZMBmVSC96La4MNH2kIh46I2pm7j6UTjjT4dLX/VRnsPYOJGiwkGRBbN1kU/Hih8ptiVEN2fS7C+pYvBQDQMByZuQs8grHq2J9wdOJORKTsRlwWN7p71DmQKwL+bOAU1hqBw4IUDQGiE2JUQUXVJZcDQD4BHv+dUp2R6Wo8Cnv8b8AgTuxKrxm5FZuJ2dhGe//kkzifmiF0K3ceBNwYgwPWeloJ9HwP7FohTUEPq/TIw6D+AlMOWiMxW0jlgzUQgmwvhkcjkSiDyI/10pSQ6thyYCf1A5V54snug2KXQfZyKyzLeGGhhi6GpmgBP/AIMmc9gQGTufNrr79KGDRe7ErJmbk2BZ/9iMDAhDAdmRKWQ4aMx7fB/T3fhgmkm6Pdzt403BnTTdy+yBD4d9V8kWo4QuxIiqi+2TYDxv+q7GjHwU2Nr9xjw3H7Au73YldBdGA7M0JDW3tgxqy/6t/AQuxS6y54rqdDd20tPYQf4dBCnoPrUdSrwzE7AJejB+xKR+QmfqV8Pwdlf7ErIGihsgaivgUd/AJQ1X7CRGhbDgZnycFRh2dTumBfVBsp7F98iUeh0QHpeifED5ty1SOkIjPkfMPILLllPZOkCugMvHNSvck7UUDzCgGl7gM5Pi10J3Qe/VZq5yeHB2DqzD1r7OIldCgE4m5BtvDHIeIEtsxD2EPDiUaD9OLErIaLGYusCPL5M39XIyU/sasjSdHwSmLYX8GwtdiVUBYYDC9DcyxGbXuyN5/qFQsIlEUT154Vk442BvWBWfzEOnmVfDlbzywGRtQobrr850H0aIOFXBaqjJoH6wPnIEsDGXuxq6AE4lamFOXozA+9uuoCrKflil2KVlHIpLr8/DJJ7w8DiXkDqJXGKqolOE4GhH+oHKRIRAUD8MWDLTCDtstiVkLmR2ejHs/R7zfIXBbUgvB1gYXqEuGH7v/ri3ZGt4KjkzBONrUSjQ3aR2viBIBMfd+AaCkz6HRj1LYMBERkK6K5f8HDAW/ove0TVERIBTP9HvyYOg4FZYTiwQHKZFM/0CcWe1yIwuhO7hTS26KRc442mGg6kcqDPbGD6ISCkn9jVEJGpktkAEW/qBywH9hS7GjJlDl76FbgnbQHcW4hdDdUCuxVZgeOxmfjP5guITsoTuxSrMLV3MP7zcBvDjbm3gc9biVPQ/fh3BUZ8oV8IiYioJk78COyaC5RUcjOErJNUpl/IbOA7gJKTpJgzhgMrodUJ+PlIHD7feQW5xRqxy7FoTio5zs4dajzu4MsOQFasKDUZ8Gip//Bu9bDYlRCROctPAQ58BpxcBmgqmcaZrAdvNlkUhgMrk55fgi92XcXaE/FQa/lX31AuzIuEg+qeMR+bpgNnfhGnIEA/W0T/OUCHJzj7CBHVn5wE4O9PgTMrAW0lY67IcrkE6wcbd3pK7EqoHjEcWKnE7CIs2XsNa08koFSrE7sci7NxRjg6BboYbjz1M7DlpcYvxt4D6Pc60HUKBxMSUcPJigP2LwDOrQF0WrGroYbk1hTo+6p+HRwpJz+xNAwHVu52dhGW7LuOtSfiUaJhSKgvLw9qjtlD7hmIlXEN+LpL4xWhctZPIddzOmDj0HjnJSLrlh6jDwkXNgACrysWxaOlvqWgzRj9GAOySAwHBABIzinGkv3XsfrYLYaEeuDXRIWDbw40HnfwaXMgP7VhT66w0y9c1Ge2frVTIiIxpF4C9n4ERP8udiVUV97t9C3QrUeJXQk1AoYDMpCSW4yl+6/jl6MMCXV1+f1hUCnuubOydhJwaVPDnNAlBOj+rH4hM1WThjkHEVFNJZ0F9i0Arv7JlgRz49sZiHhdv2I2WQ2GA6pUen4JVh+Lx6qjcUjKKRa7HLP0x8t90crnnuncji4F/niz/k4ikQChA4EezwHNh3KgMRGZruxbwKkVwOmfgbxksauhqgT20o8paD5E7EpIBAwHVCWtTsBf0SlYcTgW/1zLELscs/LuiFZ4pm+o4cakc8B3fet+cKUj0GE80P05wL153Y9HRNRYdBrgyh/AyZ+A63vZmmAqHL2B9k8AnSZw8TIrx3BA1XYjLR9rT8Tjt5OJSMvnnNYP0tLHEX++fM+qw4IO+CQYKM6p3UHdmukDQcfxXGSGiMxfdhxwsqw1IT9F7Gqsj8wGCHsI6DgBaDaYg4wJAMMB1YJGq8Oey6lYcyIe+6+kQaPjW+h+Yj58CArZPV19Vj0GxOyq/kEcPIFWUfqBYCH9Hrw/EZG50arvtCbc2Avwq0nD8m6vbyFoNxawcxW7GjIxDAdUJ9mFpdh9ORU7LyZj/9U0FKvZPHy3va9FIMT9nmlED3wO7H6v6ic6et8JBEHhHEtARNYjK1Y/DerVP4CEE+x2VF/sXPVhoNMEfTggug+GA6o3RaVa/B2Thh0Xk7E7OhU5RVwp85NH22Fct0DDjbeOAD9GGu/s5KsPBG0eAQJ6MBAQERVmADE7gas7gGu7gZJcsSsyLx4tgWaDgKYD9S3PXAiTqoHhgBqERqvDkRuZ2HkpGTsvpiA51zpnPOoV6oZfn+tpuFFbCnwcAGiK73xwtx6lDwRERFQ5rRqIO6SfEvXqn0DmDbErMj22LkDoAKDZQH0gcPITuyIyQwwH1Ciup+bjRFwWTsRm4nhsJmIzCsUuqdFc/2g4ZNJ7FkO7sR/wbKUfT0BERDWXHlMWFHYAiScBtfVcVypI5YB/V6DpIP2NJt9ObHWmOmM4IFGk5ZXgZFwWjsdm4mRcFi7ezoFaa1lvRaVcija+zlg2pRucbBVil0NEZLl0WiD9KpB0Brh9Rv/f5PNAaYHIhdUzRx/Aq43+x7+bvquQylnsqsjCMByQSSgq1eJsQjYuJ+fhRlo+rqfl40ZaAZJzi01+0gq5VIIgN3s087RHUw8HNPPU/4R5O0Ip57RwRESiEHT6wFAeFm6fAZLPmUdgUNjpW5e92gJerfVhwLMNZxaiRsFwQCatsFSDm+kFuJFWUBYaCnAjPR+3s4uRXViKxppF1UEph6u9DdwdbMqCgD4ANPVwQJCbnfF0pUREZHoEnb47UlYskJcE5N7W/zcvCchNAvJuA4WZjVOL0lE/M52DN+DopV/HxqutPgi4BLN7EImG4YDMllYnILOgBOn5pcjIL0V2YSlyi9XILdLo/1usQbFaCwkAlHX5l0ACiUT/R8ld22RSCVzsFXCxs4GbvQ1c7ZVwtVfA1V4JF3sFWwCIiKyFphjISy4LDsn6wFCcA+h0gKDVd2EStPqgobv7v9o7fwYAlROgagLYNin7r8v/t3dvIVFufRzHfw9NJh3Bsd60gyYdLS07QSqVlMS2EpLKKC8K6mKiSMsLvYimIiqxkEqrqyLSjjgVFVGhFZUmZXVhBwoysTTMjkQXjq33onF4n61UbjZO797fDzzg85//s1hrrvy5noXff+79n+9XUK/ArRH4AcIBAAAAAEkSe1YAAAAAJBEOAAAAAPgQDgAAAABIIhwAAAAA8CEcAAAAAJBEOAAAAADgQzgAAAAAIIlwAAAAAMCHcAAAAABAEuEAAAAAgA/hAAAAAIAkwgEAAAAAH8IBAAAAAEmEAwAAAAA+hAMAAIAAqqys1KJFixQWFqagoCANHDhQCxcuVEVFRaCn9tsoKirS4cOHAz2NfwXCAQAAQIDs3btXCQkJqq+vV15enq5evar8/Hy9evVKiYmJ2rdvX6Cn+FsgHHQdyxhjAj0JAACAf5tbt25p+vTpSklJkcfjkcPh8H/m9Xq1YMECXbx4UTdu3FBCQkIAZxp448aNU2hoqK5duxboqfzjsXMAAAAQANu3b5dlWdq/f78tGEiSw+FQUVGRLMvSjh07JElut1uWZen+/ftKS0tT37591a9fP2VkZKipqcn2fGRkpObNmyePx6PY2FgFBwcrKipKe/bsaTePuro6ZWRkaMCAAerRo4fGjBmjXbt26du3b/6e2tpaWZal/Px87d69W8OGDVPv3r01bdo0VVZWthvz7t27Sk1NVUhIiIKDgxUXF6eTJ0/aeg4fPizLslReXi6Xy6XQ0FA5nU6lpaXp9evXtrXU1NTo+vXrsixLlmUpMjKy0983fg3hAAAAoIu1traqvLxckydP1uDBgzvsGTJkiCZNmqSysjK1trb66wsWLNDw4cN1+vRpud1unTlzRnPmzFFLS4vt+QcPHigzM1NZWVnyeDyKj4/XunXrlJ+f7+9pampSfHy8Ll++rK1bt+rcuXOaPXu2srOztWbNmnZzKiws1JUrV1RQUKDi4mJ9+fJFKSkp+vjxo7+nvLxcCQkJ+vDhgw4cOKCzZ89qwoQJSk9P7/DVoJUrV6p79+4qKSlRXl6erl27poyMDP/nHo9HUVFRiouLU0VFhSoqKuTxeH75u0YnGQAAAHSpxsZGI8ksWbLkh33p6elGknnz5o3ZtGmTkWSysrJsPcXFxUaSOXr0qL8WERFhLMsyDx48sPUmJyebvn37mi9fvhhjjMnJyTGSzJ07d2x9LpfLWJZlnj59aowx5sWLF0aSiYmJMV6v199XVVVlJJljx475a6NHjzZxcXGmpaXFNua8efNMWFiYaW1tNcYYc+jQISPJrF692taXl5dnJJmGhgZ/bezYsWbGjBk//K7w92DnAAAA4DdlfEdDLcvy15YtW2brWbx4sRwOh8rLy231sWPHavz48bba0qVL9enTJ1VXV0uSysrKFB0dralTp9r6li9fLmOMysrKbPW5c+eqW7du/vvY2FhJ0suXLyVJz58/15MnT/xz9Hq9/islJUUNDQ16+vSpbczU1FTb/Z/HRNdy/LwFAAAAf6fQ0FD17NlTL168+GFfbW2tevXqpZCQEH9t4MCBth6HwyGn06nm5mZb/c99/1tr621ubu7w/f3w8HBbXxun02m779GjhyTp69evkqQ3b95IkrKzs5Wdnd3hmt6+fdupMdG1CAcAAABdrFu3bkpKStKlS5dUX1/f4bmD+vp63bt3TykpKba/1jc2NmrQoEH+e6/Xq+bm5na/ZDc2NrYbs63W1ut0OtXQ0NCur+1AcGhoaKfW1dafm5urtLS0DntGjRrVqTHRtXitCAAAIAByc3NljNHq1attB46l7weWXS6XjDHKycmxfVZcXGy7P3nypLxer2bOnGmr19TU6OHDh7ZaSUmJ+vTpo4kTJ0qSZs2apUePHvlfM2pz5MgRWZalpKSkTq1p1KhRGjFihB4+fKjJkyd3ePXp06dTY0rfdxPYSega7BwAAAAEQEJCggoKCpSZmanExEStWbNGQ4cOVV1dnQoLC3Xnzh0VFBQoPj7e9lxpaakcDoeSk5NVU1OjjRs3avz48Vq8eLGtLzw8XKmpqXK73QoLC9PRo0d15coV7dy5Uz179pQkZWVl6ciRI5o7d662bNmiiIgIXbhwQUVFRXK5XBo5cmSn13Xw4EH98ccfmjNnjpYvX65Bgwbp3bt3evz4saqrq3Xq1KlOjxkTE6Pjx4/rxIkTioqKUnBwsGJiYjo9Dn6OcAAAABAga9eu1ZQpU7Rr1y5t2LBBzc3NCgkJUWJiom7evKlp06a1e6a0tFRut1v79++XZVmaP3++CgoKFBQUZOubMGGCVqxYoU2bNunZs2cKDw/X7t27lZWV5e/p37+/bt++rdzcXOXm5urTp0+KiopSXl6e1q9f/5fWlJSUpKqqKm3btk2ZmZl6//69nE6noqOj2wWYX7V582Y1NDRo1apV+vz5syIiIlRbW/uXxsKP8R+SAQAA/g+43W5t3rxZTU1NPz0LEBkZqXHjxun8+fNdNDv8U3DmAAAAAIAkwgEAAAAAH14rAgAAACCJnQMAAAAAPoQDAAAAAJIIBwAAAAB8CAcAAAAAJBEOAAAAAPgQDgAAAABIIhwAAAAA8CEcAAAAAJBEOAAAAADgQzgAAAAAIIlwAAAAAMCHcAAAAABAEuEAAAAAgA/hAAAAAIAkwgEAAAAAH8IBAAAAAEmEAwAAAAA+/wVQGGPWv7yZHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 960x1080 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs_pts = []\n",
    "ss_pts = []\n",
    "\n",
    "for i,p in zip(range(2),range(1,3)):\n",
    "    # Points by serve\n",
    "    serve_df = df.loc[df['server']==player_name[i].lower()]\n",
    "    \n",
    "    # First service data\n",
    "    fs_df = serve_df.loc[serve_df['2nd_serve']==0]\n",
    "    \n",
    "    # Second service data\n",
    "    ss_df = serve_df.loc[serve_df['2nd_serve']==p]\n",
    "    \n",
    "    # First service won\n",
    "    Nfs_won = fs_df.loc[fs_df['pt_won_by'] == p].shape[0]\n",
    "    # First service lost\n",
    "    Nfs_lost = fs_df.shape[0] - Nfs_won\n",
    "    fs_pts.append([Nfs_won, Nfs_lost])\n",
    "    \n",
    "    # Second service won\n",
    "    Nss_won = ss_df.loc[ss_df['pt_won_by'] == p].shape[0]\n",
    "    # Second service lost\n",
    "    Nss_lost = ss_df.shape[0] - Nss_won\n",
    "    ss_pts.append([Nss_won, Nss_lost])\n",
    "    \n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(8,9), dpi=120, facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Points won in first and second service', fontweight='bold')\n",
    "\n",
    "for i in range(2):\n",
    "    ax[i*2].pie([fs_pts[i][0], fs_pts[i][1]],\n",
    "              labels=['Server', 'Opponent'],\n",
    "                labeldistance=1.15,\n",
    "                wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "                autopct = '%.2f%%')\n",
    "    ax[i*2].set_title(player_name[i]+'\\'s first serve')\n",
    "    \n",
    "    ax[i*2+1].pie([ss_pts[i][0], ss_pts[i][1]],\n",
    "                labels=['Server', 'Opponent'],\n",
    "                labeldistance=1.15,\n",
    "                wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "                autopct = '%.2f%%')\n",
    "    ax[i*2+1].set_title(player_name[i]+'\\'s second serve')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Service number turned out to have a great influence of point outcome. Both players won around 75% of points on their first service, but only around 50% when the first service was an error. Đoković even has fewer points won on his second service than his opponent."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Players service type and direction analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having a point description column in dataset helps going through all types of services played in the match. In the following cells, all types of service, including faults, are explored."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Player 1\n",
    "serve_df = df.loc[df['server']==player_name[0].lower()]\n",
    "\n",
    "fs_df1 = pd.DataFrame(0,\n",
    "                    columns=['ace', 'service winner', 'fault (long)', 'fault (wide)', 'fault (net)', 'fault (wide and long)', 'regular'],\n",
    "                    index = ['wide', 'down the T', 'to body'],\n",
    "                    dtype = int)\n",
    "fs_df1.index = ['wide', 'down the T', 'to body']\n",
    "\n",
    "ss_df1 = pd.DataFrame(0,\n",
    "                    columns=['ace', 'service winner', 'fault (long)', 'fault (wide)', 'fault (net)', 'fault (wide and long)', 'regular'],\n",
    "                    index = ['wide', 'down the T', 'to body'],\n",
    "                    dtype = int)\n",
    "ss_df1.index = ['wide', 'down the T', 'to body']\n",
    "\n",
    "\n",
    "for i in range(serve_df.shape[0]):\n",
    "    # Extract info about service\n",
    "    serve_desc = serve_df['point_description'].iloc[i].split(';')[0].split('.')\n",
    "    \n",
    "    # Categorize first serve\n",
    "    for desc in serve_desc:\n",
    "        if('1st' in desc):\n",
    "            # Remove string '1st serve'\n",
    "            desc_list = desc[10::].split(',')\n",
    "\n",
    "            if(len(desc_list) == 1):\n",
    "                fs_df1.loc[desc_list[0], 'regular'] += 1\n",
    "            else:\n",
    "                fs_df1.loc[desc_list[0], desc_list[1][1::]] += 1\n",
    "                \n",
    "        elif('2nd' in desc):\n",
    "            # Remove string ' 2nd serve'\n",
    "            desc_list = desc[11::].split(',')\n",
    "           \n",
    "            \n",
    "            if(len(desc_list) == 1):\n",
    "                ss_df1.loc[desc_list[0], 'regular'] += 1\n",
    "            else:\n",
    "                ss_df1.loc[desc_list[0], desc_list[1][1::]] += 1      \n",
    "                \n",
    "# Player 2\n",
    "serve_df = df.loc[df['server']==player_name[1].lower()]\n",
    "\n",
    "fs_df2 = pd.DataFrame(0,\n",
    "                    columns=['ace', 'service winner', 'fault (long)', 'fault (wide)', 'fault (net)', 'fault (wide and long)', 'regular'],\n",
    "                    index = ['wide', 'down the T', 'to body'],\n",
    "                    dtype = int)\n",
    "fs_df2.index = ['wide', 'down the T', 'to body']\n",
    "\n",
    "ss_df2 = pd.DataFrame(0,\n",
    "                    columns=['ace', 'service winner', 'fault (long)', 'fault (wide)', 'fault (net)', 'fault (wide and long)', 'regular'],\n",
    "                    index = ['wide', 'down the T', 'to body'],\n",
    "                    dtype = int)\n",
    "ss_df2.index = ['wide', 'down the T', 'to body']\n",
    "\n",
    "\n",
    "for i in range(serve_df.shape[0]):\n",
    "    # Extract info about service\n",
    "    serve_desc = serve_df['point_description'].iloc[i].split(';')[0].split('.')\n",
    "    \n",
    "    # Categorize first serve\n",
    "    for desc in serve_desc:\n",
    "        if('1st' in desc):\n",
    "            # Remove string '1st serve'\n",
    "            desc_list = desc[10::].split(',')\n",
    "\n",
    "            if(len(desc_list) == 1):\n",
    "                fs_df2.loc[desc_list[0], 'regular'] += 1\n",
    "            else:\n",
    "                fs_df2.loc[desc_list[0], desc_list[1][1::]] += 1\n",
    "                \n",
    "        elif('2nd' in desc):\n",
    "            # Remove string ' 2nd serve'\n",
    "            desc_list = desc[11::].split(',')\n",
    "           \n",
    "            \n",
    "            if(len(desc_list) == 1):\n",
    "                ss_df2.loc[desc_list[0], 'regular'] += 1\n",
    "            else:\n",
    "                ss_df2.loc[desc_list[0], desc_list[1][1::]] += 1 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First player's first service stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ace</th>\n",
       "      <th>service winner</th>\n",
       "      <th>fault (long)</th>\n",
       "      <th>fault (wide)</th>\n",
       "      <th>fault (net)</th>\n",
       "      <th>fault (wide and long)</th>\n",
       "      <th>regular</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>wide</th>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>9</td>\n",
       "      <td>21</td>\n",
       "      <td>3</td>\n",
       "      <td>52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>down the T</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>4</td>\n",
       "      <td>16</td>\n",
       "      <td>1</td>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>to body</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            ace  service winner  fault (long)  fault (wide)  fault (net)  \\\n",
       "wide          4               2            10             9           21   \n",
       "down the T    5               0             9             4           16   \n",
       "to body       0               0             6             0            4   \n",
       "\n",
       "            fault (wide and long)  regular  \n",
       "wide                            3       52  \n",
       "down the T                      1       53  \n",
       "to body                         0       20  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fs_df1.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First player's second service stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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>ace</th>\n",
       "      <th>service winner</th>\n",
       "      <th>fault (long)</th>\n",
       "      <th>fault (wide)</th>\n",
       "      <th>fault (net)</th>\n",
       "      <th>fault (wide and long)</th>\n",
       "      <th>regular</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>wide</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>down the T</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>to body</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            ace  service winner  fault (long)  fault (wide)  fault (net)  \\\n",
       "wide          0               0             1             1            1   \n",
       "down the T    1               0             0             0            1   \n",
       "to body       0               0             4             0            1   \n",
       "\n",
       "            fault (wide and long)  regular  \n",
       "wide                            0       22  \n",
       "down the T                      0       19  \n",
       "to body                         0       32  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_df1.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Second player's first service stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ace</th>\n",
       "      <th>service winner</th>\n",
       "      <th>fault (long)</th>\n",
       "      <th>fault (wide)</th>\n",
       "      <th>fault (net)</th>\n",
       "      <th>fault (wide and long)</th>\n",
       "      <th>regular</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>wide</th>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>18</td>\n",
       "      <td>18</td>\n",
       "      <td>4</td>\n",
       "      <td>59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>down the T</th>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>11</td>\n",
       "      <td>9</td>\n",
       "      <td>11</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>to body</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            ace  service winner  fault (long)  fault (wide)  fault (net)  \\\n",
       "wide         10               1             4            18           18   \n",
       "down the T   15               0            11             9           11   \n",
       "to body       0               0             0             0            1   \n",
       "\n",
       "            fault (wide and long)  regular  \n",
       "wide                            4       59  \n",
       "down the T                      0       40  \n",
       "to body                         0        2  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fs_df2.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Second player's second service stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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>ace</th>\n",
       "      <th>service winner</th>\n",
       "      <th>fault (long)</th>\n",
       "      <th>fault (wide)</th>\n",
       "      <th>fault (net)</th>\n",
       "      <th>fault (wide and long)</th>\n",
       "      <th>regular</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>wide</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>down the T</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>to body</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            ace  service winner  fault (long)  fault (wide)  fault (net)  \\\n",
       "wide          0               0             0             0            1   \n",
       "down the T    0               0             4             0            0   \n",
       "to body       0               0             0             0            1   \n",
       "\n",
       "            fault (wide and long)  regular  \n",
       "wide                            0       32  \n",
       "down the T                      0       17  \n",
       "to body                         0       21  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_df2.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Service direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wide = [fs_df1.loc['wide'].to_numpy().sum() + ss_df1.loc['wide'].to_numpy().sum(),\n",
    "        fs_df2.loc['wide'].to_numpy().sum() + ss_df2.loc['wide'].to_numpy().sum()]\n",
    "\n",
    "down_the_T = [fs_df1.loc['down the T'].to_numpy().sum() + ss_df1.loc['down the T'].to_numpy().sum(),\n",
    "              fs_df2.loc['down the T'].to_numpy().sum() + ss_df2.loc['down the T'].to_numpy().sum()]\n",
    "to_body = [fs_df1.loc['to body'].to_numpy().sum() + ss_df1.loc['to body'].to_numpy().sum(),\n",
    "           fs_df2.loc['to body'].to_numpy().sum() + ss_df2.loc['to body'].to_numpy().sum()]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Service direction', fontweight='bold')\n",
    "\n",
    "for i in range(2):  \n",
    "    values = [wide[i], down_the_T[i], to_body[i]]\n",
    "    names = ['Wide','Down the T','To body']\n",
    "    \n",
    "    ax[i].pie(values,\n",
    "              labels=names,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    ax[i].set_title(player_name[i])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both Đoković and Federer prefer wide services over other types with Federer having nearly three times less services to body then Đoković."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First and second service direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Player 1\n",
    "wide = [fs_df1.loc['wide'].to_numpy().sum(), ss_df1.loc['wide'].to_numpy().sum()]\n",
    "down_the_T = [fs_df1.loc['down the T'].to_numpy().sum(), ss_df1.loc['down the T'].to_numpy().sum()]\n",
    "to_body = [fs_df1.loc['to body'].to_numpy().sum(), ss_df1.loc['to body'].to_numpy().sum()]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle(player_name[0] + '\\'s service direction (first & second)', fontweight='bold')\n",
    "for i in range(2):  \n",
    "    values = [wide[i], down_the_T[i], to_body[i]]\n",
    "    names = ['Wide','Down the T','To body']\n",
    "    ax[i].pie(values,\n",
    "              labels=names,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    if(i==0):\n",
    "        ax[i].set_title('First service')\n",
    "    else:\n",
    "        ax[i].set_title('Second service')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Player 2\n",
    "wide = [fs_df2.loc['wide'].to_numpy().sum(), ss_df2.loc['wide'].to_numpy().sum()]\n",
    "down_the_T = [fs_df2.loc['down the T'].to_numpy().sum(), ss_df2.loc['down the T'].to_numpy().sum()]\n",
    "to_body = [fs_df2.loc['to body'].to_numpy().sum(), ss_df2.loc['to body'].to_numpy().sum()]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle(player_name[1] + '\\'s service direction (first & second service)', fontweight='bold')\n",
    "for i in range(2):  \n",
    "    values = [wide[i], down_the_T[i], to_body[i]]\n",
    "    names = ['Wide','Down the T','To body']\n",
    "    ax[i].pie(values,\n",
    "              labels=names,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    if(i==0):\n",
    "        ax[i].set_title('First service')\n",
    "    else:\n",
    "        ax[i].set_title('Second service')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Federer had only 1.48% of his first services of the opponent's body. In the second service, both players had many more services to body (maybe avoiding mistakes)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Aces direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "directions = ['wide','down the T','to body']\n",
    "values1 = []\n",
    "values2 = []\n",
    "for direction in directions:\n",
    "    # First player data\n",
    "    values1.append(fs_df1.loc[direction, 'ace'] + ss_df1.loc[direction, 'ace'])\n",
    "    values2.append(fs_df2.loc[direction, 'ace'] + ss_df2.loc[direction, 'ace'])\n",
    "values = [values1, values2]\n",
    "                    \n",
    "positions = np.arange(3)\n",
    "\n",
    "# Aces types\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(positions-0.1, values[0], width=0.2, color='g', align='center')\n",
    "plt.bar(positions+0.1, values[1], width=0.2, color='y', align='center')\n",
    "plt.ylabel('Number of aces')\n",
    "plt.xticks(positions, directions)\n",
    "plt.title('Aces by direction')\n",
    "plt.legend(player_name)\n",
    "plt.grid('minor')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although most of the services for both players was wide, down the T was the direction in which both players had more aces. It was fair to assume that there was no aces directed to the body, but it is not bad to check, just to be sure :)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fault direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "faults = ['fault (long)','fault (wide)','fault (net)','fault (wide and long)']\n",
    "values1 = []\n",
    "values2 = []\n",
    "for fault in faults:\n",
    "    values1.append(fs_df1[fault].to_numpy().sum() + ss_df1[fault].to_numpy().sum())\n",
    "    values2.append(fs_df2[fault].to_numpy().sum() + ss_df2[fault].to_numpy().sum())\n",
    "values = [values1, values2]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Fault direction', fontweight='bold')\n",
    "for i in range(2):  \n",
    "    ax[i].pie(values[i],\n",
    "              labels=faults,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    ax[i].set_title(player_name[i]+'\\'s service')\n",
    "plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The most common service fault is definitely net, but having in mind that most of the services were wide, Đoković's wide service errors are quite small and were made twice less frequently than Federer's faults."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Service outcome"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "names = ['ace', 'service winner', 'fault (long)', 'fault (wide)', 'fault (net)', 'fault (wide and long)', 'regular']\n",
    "values1 = []\n",
    "values2 = []\n",
    "for name in names:\n",
    "    values1.append(fs_df1[name].to_numpy().sum() + ss_df1[name].to_numpy().sum())\n",
    "    values2.append(fs_df2[name].to_numpy().sum() + ss_df2[name].to_numpy().sum())\n",
    "values = [values1, values2]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Service outcome', fontweight='bold')\n",
    "for i in range(2):  \n",
    "    ax[i].pie(values[i],\n",
    "              labels=names,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    ax[i].set_title(player_name[i]+'\\'s service')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the pie chart above, we can maybe conclude that Federer's service is a bit more attacking with a significantly larger number of aces, but also with the largest percentage of errors made during the match."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Drop shot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "drop_shots = [df.loc[df[\"drop_shot\"]==1].shape[0], df.loc[df[\"drop_shot\"]==2].shape[0]]\n",
    "position = 0\n",
    "\n",
    "# Drop shots visualization\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(position-0.5, drop_shots[0], width=1, color='b', align='center')\n",
    "plt.bar(position+0.5, drop_shots[1], width=1, color='y', align='center')\n",
    "plt.ylabel('Number of drop shots')\n",
    "plt.xticks([-0.5, 0.5], (player_name[0], player_name[1]))\n",
    "plt.xlim([-5,5])\n",
    "plt.title('Number of drop shots per player')\n",
    "plt.legend(player_name)\n",
    "plt.grid(which='major', axis='y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we analyse just one match, it cannot be said if Đoković is not a drop shot player or a drop shot is a way to go for Federer, but difference in playing tactics is obvious in this one."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lobs = [df.loc[df[\"lob\"]==1].shape[0], df.loc[df[\"lob\"]==2].shape[0]]\n",
    "position = 0\n",
    "\n",
    "# Lobs visualization\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(position-0.5, lobs[0], width=1, color='g', align='center')\n",
    "plt.bar(position+0.5, lobs[1], width=1, color='m', align='center')\n",
    "plt.ylabel('Number of lobs')\n",
    "plt.xticks([-0.5, 0.5], (player_name[0], player_name[1]))\n",
    "plt.xlim([-5,5])\n",
    "plt.title('Number of lobs per player')\n",
    "plt.legend(player_name)\n",
    "plt.grid('major', axis='y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Đoković had a few lobs more and much less drop shots to draw his opponent near net than Federer."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stroke analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Much more details are hidden in point description than just a serve. Most important among them are strokes. In further analysis, it is pointed out how strokes, such as forehand and backhand, differ for each player."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "player1_on_service = df.loc[df[\"server\"] == player_name[1].lower()]\n",
    "\n",
    "# Forehands\n",
    "forehand = [{},{}]\n",
    "# Backhands\n",
    "backhand = [{},{}]\n",
    "\n",
    "for player in range(2):\n",
    "    \n",
    "    # Extract data for current server\n",
    "    player_on_service = df.loc[df[\"server\"] == player_name[player].lower()]\n",
    "\n",
    "    # If first player has service then later on at first stroke itr%2 = 0\n",
    "    itr_init = 1 + player\n",
    "    \n",
    "    # Going through every point description\n",
    "    for i in range(player_on_service.shape[0]):\n",
    "        \n",
    "        # Extract info about service\n",
    "        point_desc = player_on_service['point_description'].iloc[i].split(';')\n",
    "\n",
    "        # Iterator helps detecting current player\n",
    "        itr = itr_init\n",
    "        \n",
    "        for desc in point_desc:\n",
    "            itr += 1\n",
    "\n",
    "            # Remove phrase 'return' if exists\n",
    "            desc = desc.replace('return ','')\n",
    "\n",
    "            # Check if forehand is played\n",
    "            if('forehand' in desc):\n",
    "                # Remove rally length\n",
    "                stroke_desc = desc.split('.')[0]\n",
    "\n",
    "                # Remove 'forehand ' from description\n",
    "                stroke_desc = stroke_desc.replace(' forehand ','')\n",
    "\n",
    "                # Check for winner/error\n",
    "                if(len(stroke_desc.split(','))==2):\n",
    "                    # Stroke type\n",
    "                    stroke_type = stroke_desc.split(',')[0]\n",
    "                    # Finish type\n",
    "                    point_end = stroke_desc.split(',')[1]\n",
    "\n",
    "                    # Check for winner\n",
    "                    if('winner' in point_end):\n",
    "                        # Check if key exists\n",
    "                        if('winner' in forehand[itr%2].keys()):\n",
    "                            forehand[itr%2]['winner'] += 1\n",
    "                        else:\n",
    "                            forehand[itr%2]['winner'] = 1  \n",
    "\n",
    "                    # Check for error\n",
    "                    elif('error' in point_end):\n",
    "                        # Error description\n",
    "                        error_type = point_end[1:]\n",
    "\n",
    "                        # Check if key exists\n",
    "                        if(error_type in forehand[itr%2].keys()):\n",
    "                            forehand[itr%2][error_type] += 1\n",
    "                        else:\n",
    "                            forehand[itr%2][error_type] = 1\n",
    "                    else:\n",
    "                        raise ValueError(\"New type came up on the end of the point: %s\" %(point_end))\n",
    "                else:\n",
    "                    if('rally' in forehand[itr%2].keys()):\n",
    "                        forehand[itr%2]['rally'] += 1\n",
    "                    else:\n",
    "                        forehand[itr%2]['rally'] = 1\n",
    "                        \n",
    "            # Check if backhand is played\n",
    "            if('backhand' in desc):\n",
    "                # Remove rally length\n",
    "                stroke_desc = desc.split('.')[0]\n",
    "\n",
    "                # Remove 'forehand ' from description\n",
    "                stroke_desc = stroke_desc.replace(' backhand ','')\n",
    "\n",
    "                # Check for winner/error\n",
    "                if(len(stroke_desc.split(','))==2):\n",
    "                    # Stroke type\n",
    "                    stroke_type = stroke_desc.split(',')[0]\n",
    "                    # Finish type\n",
    "                    point_end = stroke_desc.split(',')[1]\n",
    "\n",
    "                    # Check for winner\n",
    "                    if('winner' in point_end):\n",
    "                        # Check if key exists\n",
    "                        if('winner' in backhand[itr%2].keys()):\n",
    "                            backhand[itr%2]['winner'] += 1\n",
    "                        else:\n",
    "                            backhand[itr%2]['winner'] = 1  \n",
    "\n",
    "                    # Check for error\n",
    "                    elif('error' in point_end):\n",
    "                        # Error description\n",
    "                        error_type = point_end[1:]\n",
    "\n",
    "                        # Check if key exists\n",
    "                        if(error_type in backhand[itr%2].keys()):\n",
    "                            backhand[itr%2][error_type] += 1\n",
    "                        else:\n",
    "                            backhand[itr%2][error_type] = 1\n",
    "                    else:\n",
    "                        raise ValueError(\"New type came up on the end of the point: %s\" %(point_end))\n",
    "                else:\n",
    "                    if('rally' in backhand[itr%2].keys()):\n",
    "                        backhand[itr%2]['rally'] += 1\n",
    "                    else:\n",
    "                        backhand[itr%2]['rally'] = 1\n",
    "            \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Strokes in general"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Strokes in general\n",
    "for i in range(2):\n",
    "    fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "    ax = axes.ravel()\n",
    "    plt.suptitle(player_name[i]+'\\'s strokes', fontweight='bold')\n",
    "    values = [list(forehand[i].values()), list(backhand[i].values())]\n",
    "    labels = [list(forehand[i].keys()), list(backhand[i].keys())]\n",
    "    titles = ['Forehand', 'Backhand']\n",
    "    for j in range(2):  \n",
    "        ax[j].pie(values[j],\n",
    "                  labels=labels[j],\n",
    "                  labeldistance=1.15,\n",
    "                  wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "                  autopct = '%.2f%%')\n",
    "        ax[j].set_title(titles[j])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Federer's forehand has the highest error rate and the greatest percentage of winners, while Đoković's backhand has the smallest percentage of errors and winner, making them the best attacking and the most stable strokes of these two players."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Number of stroke types"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "positions = np.array([-.5, .5])\n",
    "winner = [forehand[i]['winner']+backhand[i]['winner'] for i in range(2)]\n",
    "forced = [forehand[i]['forced error']+backhand[i]['forced error'] for i in range(2)]\n",
    "unforced = [forehand[i]['unforced error']+backhand[i]['unforced error'] for i in range(2)]\n",
    "rally = [forehand[i]['rally']+backhand[i]['rally'] for i in range(2)]\n",
    "\n",
    "# Aces per sets\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(positions-0.2, rally, width=0.2, color='c', align='center')\n",
    "plt.bar(positions, winner, width=0.2, color='y', align='center')\n",
    "plt.bar(positions+0.2, forced, width=0.2, color='g', align='center')\n",
    "plt.bar(positions+0.2, unforced, bottom=forced, width=0.2, color='m', align='center')\n",
    "plt.ylabel('Number of strokes')\n",
    "plt.xticks(positions, player_name)\n",
    "plt.xlabel('Player')\n",
    "plt.title('Stroke types per player')\n",
    "plt.legend(['Rally', 'Winner', 'Forced error','Unforced error'])\n",
    "plt.grid(which='major', axis='y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at the number of strokes (not just a relation in between stroke), Federer's strokes are more likely to end up as winners or errors then Đoković's strokes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stroke errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = ['Forehand unforced error','Forehand forced error',\n",
    "          'Backhand unforced error','Backhand forced error']\n",
    "values = [[forehand[0]['unforced error'], forehand[0]['forced error'],\n",
    "          backhand[0]['unforced error'], backhand[0]['forced error']],\n",
    "         [forehand[1]['unforced error'], forehand[1]['forced error'],\n",
    "          backhand[1]['unforced error'], backhand[1]['forced error']]]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Stroke error', fontweight='bold')\n",
    "for j in range(2):  \n",
    "    ax[j].pie(values[j],\n",
    "              labels=labels,\n",
    "              labeldistance=1.01,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    ax[j].set_title(player_name[j])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Number of forced and unforced errors can be compared also as an overall stroke error analysis. Federer's unforced backhand error is the rarest mistake on the match and his his unforced forehand error the most common one. Đoković's errors, on the other hand, are quite balanced."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Point ending"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = ['Error by opponent', 'Winner', 'Ace', 'Double fault']\n",
    "values = [[],[]]\n",
    "# Points won by first player\n",
    "values[0].append(df.loc[df['error']==2].shape[0])\n",
    "values[0].append(df.loc[df['winner']==1].shape[0])\n",
    "values[0].append(df.loc[df['ace']==1].shape[0])\n",
    "values[0].append(df.loc[df['double_fault']==2].shape[0])\n",
    "# Points won by second player\n",
    "values[1].append(df.loc[df['error']==1].shape[0])\n",
    "values[1].append(df.loc[df['winner']==2].shape[0])\n",
    "values[1].append(df.loc[df['ace']==2].shape[0])\n",
    "values[1].append(df.loc[df['double_fault']==1].shape[0])\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(14,6), facecolor='white')\n",
    "ax = axes.ravel()\n",
    "plt.suptitle('Point ending', fontweight='bold')\n",
    "for j in range(2):  \n",
    "    ax[j].pie(values[j],\n",
    "              labels=labels,\n",
    "              labeldistance=1.15,\n",
    "              wedgeprops = { 'linewidth' : 3, 'edgecolor' : 'white' },\n",
    "              autopct = '%.2f%%')\n",
    "    ax[j].set_title(player_name[j]+'\\'s winning points')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Analysis started with points beginning (service), going through points \"body\" (strokes) and the last one is how point ends. Đoković relies on an opponent's mistake with 75% of his winning points and afterwards on winners that are one fifth of all points he has won. Federer on the other hand didn't count on opponent's preparedness or endurance and Đoković's mistakes gave him around 60% of all of his points, with his winners around 30% and aces over 11%. This may not seem much by looking at the chart above, but Đoković had only 25% won \"by his own\" comparing to Federer's 41%."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparing point's winner and point's rally length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points_won = [[],[]]\n",
    "max_rally = np.amax(df['rally_length'].to_numpy())+1\n",
    "for i in range(2, max_rally):\n",
    "    for j in range(2):\n",
    "        points_won[j].append(df.loc[(df['rally_length']==i) & (df['pt_won_by']==(j+1))].shape[0])\n",
    "    \n",
    "positions = np.arange(2, max_rally)\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.bar(positions-0.1, points_won[0], width=0.2, color='g', align='center')\n",
    "plt.bar(positions+0.1, points_won[1], width=0.2, color='y', align='center')\n",
    "plt.ylabel('Number of points won')\n",
    "plt.xlabel('Rally length')\n",
    "plt.xticks(positions, positions)\n",
    "plt.title('Winning points by rally length')\n",
    "plt.legend(player_name)\n",
    "plt.grid(which='major', axis='y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For short rallies, Federer has a better score of winning the point, but when it comes to medium and long rallies, Đoković have performed better."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Distribution of points won with respect to point duration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "duration = []\n",
    "for i in range(1,3):\n",
    "    duration.append(df.loc[df['pt_won_by'] == i]['point_duration'])\n",
    "\n",
    "plt.figure(figsize=(12,8))\n",
    "sn.kdeplot(duration[0], label=player_name[0])\n",
    "sn.kdeplot(duration[1], label=player_name[1])\n",
    "plt.ylabel('Probability  of winning a point')\n",
    "plt.xlabel('Point duration')\n",
    "plt.xlim([0,np.amax(df['point_duration'])])\n",
    "plt.title('Distribution of points won with respect to point duration')\n",
    "plt.grid('minor')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both players have had a similar distribution of points won depending on point duration. Some rough estimate should suggest that points up to 60 seconds are the one that Đoković can turn in his favour and longer points are more Federer \"cup of tea\"."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Points duration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Match duration is: 4h:56m:26s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "match_dur = df['vid_second'].iloc[-1] - df['vid_second'].iloc[0] + df['point_duration'].iloc[-1]\n",
    "h = match_dur//3600\n",
    "m = (match_dur%3600)//60\n",
    "s = (match_dur%3600)%60\n",
    "print('Match duration is: %dh:%dm:%ds' %(h,m,s))\n",
    "\n",
    "# Points duration\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(18,6))\n",
    "ax = axes.ravel()\n",
    "plt.suptitle(\"Point duration\")\n",
    "\n",
    "# Show timestamps of\n",
    "ax[0].scatter(df['vid_second'],df['point_duration'])\n",
    "ax[0].set_xlabel(\"Video [s]\")\n",
    "ax[0].set_ylabel(\"Timestamp of the match [s]\")\n",
    "ax[0].set_title('Point duration during the match')\n",
    "ax[0].grid('minor')\n",
    "\n",
    "# Show boxchart of points duration\n",
    "sn.boxplot(ax=ax[1], x=df['point_duration'])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Median of point duration is about 40 seconds with three longest points around 5 minute player in the middle of the game. One fourth of all points have ended up with less then 25 seconds and over one fourth of all points lasted over 50s. With match duration of nearly 5 hours without a doubt it is one of the longest, if not the longest, Wimbledon finals."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rally length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Points duration\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(18,6))\n",
    "ax = axes.ravel()\n",
    "plt.suptitle(\"Rally length\")\n",
    "\n",
    "# Show timestamps of\n",
    "ax[0].scatter(df['vid_second'],df['rally_length'])\n",
    "ax[0].set_xlabel(\"Timestamp of the match [s]\")\n",
    "ax[0].set_ylabel(\"Rally length\")\n",
    "ax[0].set_title('Rally length during the match')\n",
    "ax[0].grid('minor')\n",
    "\n",
    "# Show boxchart of points duration\n",
    "sn.boxplot(ax=ax[1], x=df['rally_length'])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As shown in the previous figure with dependencies between point winner and rally length, median of rally length is 4, and only one fourth of them is above 6 with a most extreme case being a point with rally length 35."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation between rally lenght, point duration and error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "corrMatrix = df[['rally_length','point_duration', 'error','pt_won_by']].corr()\n",
    "sn.heatmap(corrMatrix, annot=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Correlation matrix shows very weak correlation between point duration and rally length and between rally length and point winner. But the correlation between errors and point winner match with previous analysis where most of points won by one player are caused by an opposite player's mistake."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Errors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Errors through match"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+kp6Vy4Y96axNTmVtchprd6exckcKE5fv4siAu5+BxJhwWtSJoHvjaHo3iaFV3Qj8/Mp2fVcREZGKTIFcpJJLz8olafUeJq3cxZQ/kknNzMXfz9AkNpxuibUYEd+INvGRtI6PJC4iuNzqCg8OoH1CFO0Too55PTMnj41701mbnMa63U5YX7EjhYkrdgFQKyyQXk1i6N00ht5NYmhWu0aZX4BBRESkIlEgF6mE9qVl8cuq3UxasZvp6/aSnZtPdHgQZ7ery+A2denTLJbQoIo5FSQk0J/Wnh8QCtpx8DCz1+9j1vp9zNmwj5+WOwE9tkbw0XDeu2lMkVdXExGRqsff35/27dsffT5+/HgSExOLbbdp0ybOOeccVq5c6cPqyoYCuUglsXV/BpNW7ubnFbtYsGk/+Rbq1wzlmp6NGNy2Dt0a1arUK5/UqxnKJV0TuKRrAtZatu4/zOwNe5m1fh+z1+/juyU7AIgOMZyfspyz28fTPTEaf01vERGp0kJDQ1m8eLHP3ycvLw9//+IHs7zdryQUyEUqsNy8fCau2MW7MzayaMtBAFrVjWDUoOYMblOHtvUiq+R0DmMMDWPCaBjTkCu6N8Ray4a96cxev4+vZ61i7PytfDB7M7E1ghjSti7ntI+nZ+PoSv0DiYiIeG/hwoXcd999pKWlERsby/vvv098fDwLFy7kxhtvJCwsjL59+x7dPy8vj0ceeYSkpCSysrK48847ue2220hKSuLvf/878fHxLF68mGXLlnm1X1mPuiuQi1RAKZk5jJu/lfdmbmL7wcMkxoTx6NmtGNK2Lomx4W6XV+6MMTSNq0HTuBokZG6ke+++/LY6mZ+W7eLrRdv5ZO4WaoUFMqRtXc5uH89pTWO0zKKISFn76RHYtaz4/Uqibns4+5kidzl8+DCdOnUCoHHjxowbN4677rqLb7/9lri4OD7//POjFwi64YYbePXVVxkwYAAPPvjg0WO88847REVFMX/+fLKysujTpw+DBw8GYN68eSxfvpzGjRszZswYr/YrawrkIhXI1v0ZvD9rE5/P30paVi49GkfzxPltOKN1HU3NKCA8OIDzOtTjvA71OJydx9Q1e/hp+U6+X7qTsfO3EhUayFlt6nBO+7r0ax6ncC4iUokdP2Vl+fLlLF++nLPOOgtwRr/j4+M5dOgQBw8eZMCAAQCMGDGCH374AYBJkyaxdOlSvvzySwAOHTrE2rVrCQoKokePHkdDtrf7lTUFcpEKYNGWA7wzfSM/Ld+JnzGc2yGem/o2pkNCTbdLq/BCg/wZ2q4uQ9vVJTMnjxlr9/Lj8p38vGIXXy7cRmyNIC7qXJ/LuzWgeZ0It8sVEam8ihnJLi/WWtq2bcvs2bOPef3gwYMnncZpreXVV19lyJAhx7yelJREeHh4ifcrawrkIi7Jzctn0srdvD19A4u2HCQiJIBb+jfhut6J1KsZ6nZ5lVJIoD9ntqnDmW3qkJ2bz7Q1e/hioTP1563pG+ncsCaXd2vAeR3iiQgJdLtcEREphZYtW7Jnzx5mz55N7969ycnJYc2aNbRt25aoqChmzJhB3759+eSTT462GTJkCKNHj2bQoEEEBgayZs0a6tevf8Kxvd2vrCmQi5Qzay2/J+fy9xensXFvOg2jw3jy/DZc1q0B4cH6K1lWggL8jobzvWlZjP99O5/P38qjXy/j79+t4Jz28VzerQE9G0dXyRNjRUSqqqCgIL788kvuvvtuDh06RG5uLvfeey9t27blvffeO3pSZ8FR7ptvvplNmzbRpUsXrLXExcUxfvz4E47t7X5lzVTnNX1btmxpV69e7XYZlVZSUhIDBw50u4xKZfWuVJ76fiUz1u2laVw4DwxuyeC2dTU/vARO5XtnrWXJtkOMW7CV7xbvIDUrl0YxYVzmWW4xPqrq/2ZCf29LT31Xeuq7U+Nm/61atYrWrVu78t5lITU1lYiI8p+uWFi/GWMWWmu7Fba/T4fjjDFDgZcBf+Bta+0zx203nu3nABnA9dbaRUW1Ncb8FzgfyAbWAzdYaw8aYxKBVcCRhD3HWjvSl59PxFv707N5YfJqPp27hYiQQK5uFcSTI/rrZMNyZoyhU4OadGpQk8fPbcNPy3cybsFWnpu0hhcmr2FQq9qM6J1Iv2ax+OmHJKmurIXDByBtN6TuOvY+bTek74G8XLB5YPMh33Nv85y2xz8PiaR9ph8cGAthMRAeC2Gxf96HRTuPgyNBv62SaspngdwY4w/8DzgL2AbMN8ZMsNYWXLjxbKC559YTGA30LKbtZOBRa22uMeZZ4FHgYc/x1ltrO/nqM4mUVHZuPh/N2czLv6whPTuPEb0ace+ZLVgyf5bCuMtCg/y5uEsCF3dJYPO+dMYt2Mrn87fyy6p5JMaEcU2vRlzWtQFRYZprLlVQXg7sWwe7V0DySti7xgndqZ7QnZd1YpvAcIioA+Fx4B8EJhD8/MH4gfHc+/k7ofrIc2Pg8EGCUjbBxumQsRdyMwuvyT8IoptA7dZQu63nvjXUSnSOK1KF+XKEvAewzlq7AcAYMxYYBhQM5MOAD60zb2aOMaamMSYeSDxZW2vtpALt5wCX+vAziJSKtZbfVifzz+9XsWFvOv2ax/L4eW1ooVU+KqRGMeE8OKQVd5/RnJ+W7eKjOZv55w+reG7Sai7sVJ8RvRvRtl6U22WKlJy1kLIddq+E5BWee08Az8t29jH+ThCOrAeNekONOhBRt8B9XSeIB5f+36+FBadcZKdD+l4nnKfvc+4z9kFasvNDwvZFsOKbPxsHhELtVlC7zZ8hvXYbiIjXiLpUGT6bQ26MuRQYaq292fN8BNDTWjuqwD7fA89Ya2d4nv+KM9qdWFxbz+vfAZ9baz/2TFlZAawBUoC/WWunF1LXrcCtAHFxcV3HjRtXpp+7OklLS6NGjRpul1HhbE/L57NV2Szfl0fdMMPwVkF0jPM/5sRB9V3plVffbU7J49ctuczZkUt2PjSv6ccZDQPpVtefgEo8nUXfvdKrDH0XmJ1CZMoqog6tJDJlDTXSNhOQl350e2ZwDOnhiaSHNyI9vBFpNRqREZaA9fPtb4JK2nf+uYcJy9hKePoWwtM3ee63EJx94Og+mcGxHKjVgYM1O3KgVnuyg2N8UXqF4OZ3LyoqiqZNm1bak999cZn74lhrWb9+PYcOHTrm9dNPP92VOeSF/ckdn/5Ptk+xbY0xjwG5wJE1bXYCDa21+4wxXYHxxpi21tqUYw5i7RhgDDgndeokk9LTSTrHysjO5T8TV/PRnM2EB/nz+HltGNGrEUEBJ05NUd+VXnn23XXAoYwcvli4lY/nbOaNpRnEbgjmyh4NuLpnI+pGhZRLHWVJ373Sq3B9Zy0c3AJbZju3zbNhr+c0Kv8gqNcZmg+HOm08U0BaERJaixCgvKNrmfVd+j7Yswp2LSdkyyziN04jftcUZ1tsS2gyABoPgMS+EFrz1N+vgnDzu7dx40ays7OJiYmplKG8vE/qtNayb98+atasSefOnb1u58tAvg1oUOB5ArDDy32CimprjLkOOA84wzPdBWttFpDlebzQGLMeaAEsKIsPI1KU37cc4L5xS9i0L52rejTk/sEtiQ4PcrssKQNRYYHc3K8JN/ZpzPR1e/lw1iZe+20do5PWc3b7eG7ok0iXhrXcLlOqg/x8Z7pJwQCe6vmvMTgKGvaEjsOhYW8njAdWvh8YixUeA+F9ncDda6TTJ7uXwYapsHEq/P4xzBvjzF+P7/RnQG/Yu2r2RzlISEhg27Zt7Nmzx+1SSiUzM5OQkPL9sw8JCSEhIaFEbXwZyOcDzY0xjYHtwHDgquP2mQCM8swR7wkcstbuNMbsOVlbz+orDwMDrLUZRw5kjIkD9ltr84wxTXBOFN3gw88nQk5ePq9NWcdrv62jbmQIn97ci95Nq+6vTaszPz/DgBZxDGgRx9b9GXwwaxOfL9jKd0t20LFBTW7sk8jZ7eIL/Y2ISKml7oL1Uzy335z51gARnvneDT232q2r54mPfn4Q39G59bkbcrNh+4I/A/qsV2HGi84KLq3Ph3aXOAHdX9d88FZgYKDPLhdfHpKSkko0Uu0Wn30jPaugjAJ+xlm68F1r7QpjzEjP9jeAH3GWPFyHs+zhDUW19Rz6NSAYmOz51cmR5Q37A/8wxuQCecBIa+1+X30+kfV70rjv88Us2XaIizvX58lhbYnU1R+rhQbRYfztvDb85awWfLVoG+/P3MQ9YxfzdMQqRvRqxFU9GxJTI9jtMqUyysl0Rr/X/wrrpjgnYoKzskmzM6DJ6dDoNKjZUCc0FiYgyOmfRqfB6Y9CVhpsngUrv4VVE2DxJ05ftr0I2l8GCd3Vj1Ih+PRHRGvtjzihu+BrbxR4bIE7vW3reb3ZSfb/CvjqVOoV8Ya1lo/nbObpH1cREujP/67qwrkd4t0uS1wQHhzAtb0TuaZnI6au3cO7Mzby/OQ1vPrbOoZ1rMcNfRrTpl6k22VKRWYt7FntGQH/FTbNhNzD4BcIDXvBmU9C0zOgTjtnNFhKJrgGtBjs3M59HtZNhmVfwqIPnaktNRs6o+btL4M6bd2uVqox/c5GpASSUzJ58MulTF2zh/4t4vjvpR2oE6l5idWdn5/h9Ja1Ob1lbdYlp/LezE18vWg7XyzcRs/G0dzQpzFntamjK7KKIzsdNk6DtZNg7WQ4tNV5PaY5dLnWGQlP7AtB4e7WWdUEhjjTVlqfD5kpsPpHJ5zPfMWZ1hLXGtpfAh2ucIK6SDlSIBfx0k/LdvLoN8vIzMnjqWFtuaZXo0p5xrn4VrPaETx9UXseGtKKsfO38OHszYz8eCEJtUK5rncil3dvQFSopjZVO/vWewL4JNg0w1kDPDAcmp4O/e6HpoOgViO3q6w+QiKdE2A7DnfWRF853gnnU/4Jv/0LWp0Hve5wfkuhf+elHCiQixQjJTOHJyes4OtF2+mYEMULV3SiaVzFXotY3BcVFshtA5pyU9/GTF65m/dmbuLpH1fxwuQ1XNK1Ptef1phmtfU9qrJyDjvTT46E8AMbnddjW0CPW6H5Wc7JmAE618B14bHQ/WbndnALLHgXFrznzDmP7+QE87YXOfPTRXxEgVykCMu3H+K2jxayKyWTe85ozqhBzXTJeymRAH8/zm4fz9nt41m+/RDvz9rEuPnb+HjOFvq3iOOGPokMaB6Hn6azVG7Wwt61f84F3zjdmQseEAKN+0PvO6HZmRBdeVerqBZqNnTm7fd/CJaOhTmj4ZtbYfL/QY+boesNToAXKWMK5CIn8d2SHTz45RJqhQXxxcjeWmtaTlm7+lE8d1lHHjm7FZ/O3cLHczZzw3vzaRIbznWnJXJp1wTCg/XPcqWRsd9ZWu/IkoRH5oJHN4UuI6D5YGcueGCou3VKyQWFQbcbocv1sGGKE8yn/BOmPQcdLoeetzsXXBIpI/qXX+Q4+fmW5yev5n+/radbo1qMvqYrcRH6tbKUndgawdx9RnNGDmjKT8t38u7MTTwxYQXP/byay7o14JpeDWmiaVEVjsnPgy1zYN2vTgjfsQhsvnNRnib9od99nrngiW6XKmXFz8/5zUazM53VcOa+AYs/c1ZpaTwATrvbOQlX88zlFCmQixSQmpnDXz5fzC+rkhnevQF/H9aW4IBqeLENKRdBAX4M61SfYZ3q8/uWA7w3cxMfzdnEuzM30q95LNf0asQZrWoToGlS7sjNhp1Ljl4Zs8+6JJiW4VwFsn5XZ1pD00HOY11opuqLawnnvQiDHodFH8DcMfDJJdCoD5zxhHOlVJFS0r8gIh4b96Zzy4cL2Lg3nX8Ma8sIraIi5ahzw1p0bliL5NTWjJu/lU/mbuG2jxZSLyqEq3o25IruDfWbGl/LSoWt85xR8C2zYdsCZx44QHRTkmv3pV6/a5w54aGawlZthUVD379Arzvh9w8h6Vl4dzC0PMcJ65rKIqWgQC4CTFuzh1GfLsLfz/DRTT04ralO2hF31I4IYdQgZzrLr38k8/GczTw3aQ0v/7qWoe3iGdGrEd0Ta+mHxVNlrXNZ+m3zYLMzAs6upc4UFOMHdTtA1+v/vDx9jdqsSUqiXpuBblcuFUVAkLMyS8crnTnmM1+G0ac5z09/VGuZS4kokEu1Zq3lnRkb+dePq2hRJ4K3ru1Gg+gwt8sSIcDfjyFt6zKkbV027Enj4zlb+GLhVr5bsoNWdSO4plcjLuxcnxo6CbR4OZmw5w/YvcJzW+bcZ+xztgeEQkI36PeAE8ATukNwhLs1S+URFA79H3BOAp3xgjOVZfmX0O0m53WtyiJe0L/kUm1l5uTx2DfL+WrRNoa2rcvzl3fUChdSITWJq8H/nd+GB4a04LslO/hw9mb+Nn45//pxFed1iOeK7g3o0lCj5uTlQuoOSP7jz9C9e4WzHKHNc/YJCIXaraHVuc7l6Ot1gfiOWmNaTl1YNAz+p7MCy9RnYN6b8PtHcNpdzrKX+iFPiqD0IdXS7pRMbv1oIUu2HuQvZ7bgrkHNtA60VHhhQQFc0b0hl3drwO9bD/L5vK18t3QH4xZso2lcOJd3a8DFXRKq5lxza+HwATi0rcBtK6Rs//N56k5nyskRUQ2hbjvnUul12kKd9s464H46UVt8KKo+XPAq9L4LpjwFSf+GeWNgwMPOqLlOAJZC6Fsh1c6qnSlc9+480rJyeeOargxtV9ftkkRKxBhDl4a16FK/Bk8MrMWMxauYtWIls36excJJuXSuH07fxlG0qROCf36Oc5l2z63RprUwZQYYf/ALcJZ1O/rY3/PYv8DjAOfmHwB+gQUee577B3r292zDOqH46M16bvnHbsvPg+x050TKrBTPfcFbgdcyDzlhOyfj2I7wD4LI+hCV4CxBF5XghKHYls6JdSFRbvzxiDjiWsAVH8H2hfDLk/DTQ7DkMyes123vdnVSwSiQS7WycPN+bnhvPmFBAXx9x2m0qhvpdkkiJ8rLhX3r4MAmSE+GtGRI33PcfTIcPkAYMNhz48isi2TPrRCNATYZwPr6U5Sc8XN+rR8c6bmPcKYB1GoELYY6YTsqwXNrAGGxzg8UIhVZ/a5w7QRY8TX89DC8OcCZxjLwEV00So5SIJdqY+qaPYz8aCF1IoP5+OaeJNTSyZtSAaQlw+7lBU44XOFcgCQv69j9giKgRhyE13ZG3hL7Qo3aEB7n3IfWAv9g8A8kxwQwd3Mq3y3fy9QNKWTm+9O2QSxDOzYkMm0rw4ae4Yxa5+dBfq4zv/ro4/zjXs91nufleB7nFHjueS0v989txu/PG6bAc+O5FXg9uMax4TswTBdYkarJGGh3CTQ5HSY/DjNfgpXfwvkvQZOBLhcnFYECuVQLPyzdyb2f/07z2hF8cGOPqjnHVio2a52gvX2hJ3h7QnjG3j/3qVHXmevcZKBzH9Psz8BdgpG0QKBvPPTtBckpmXy1aDvfLt7O49+vxQBfbJvL+R3jGdo2nqiwkLL+pCJyMmHRMOx/0OEK+O4e+HAYdLraORk0LNrt6sRFCuRS5Y2dt4W/frOMro1q8fZ13YkKDXS7JKkuDh+EjVNh3S/O5dZTtjuvB4Q4K320HOqs9FG7jRPAfbA8Wu3IEG4f2JTbBzZlze5UXp0wm2UHMnj4q2X8bfxyBrSI4/yO9TizdR2tMiRSXhr3h9tnwdT/wKxXYM3PcPazzii6fktULelfX6nS3py6nn//9AcDW8Yx+uquhAZpdQXxofx82LnYCd/rfoFt851pH8GR0GQADHgIGp4GMU1dWemjRZ0ILmkexCsDBrB8ewrfLd3Bd0t28MuqZEIC/TijVR3O7xjPwJa1CQnU3xURnwoMhTOfcEL4hLvgq5tgyVg47wVdVKgaUiCXKslay39+Xs3opPWc1yGeFy7vRFCATv4SH0jf6xkB/wXWT/nzYjPxnZzLazc707nojH/F+c2MMYb2CVG0T4jikaGtWLjlAN8t2cGPy3byw7KdhAX50695LGe0qsPAVnHUjtC0Fikf1loO5+Rx6HAOhw7ncDAj5+jj1Mxc8vMt+dZi8ZwGYe3RdvlHFvTxnLAcGRJIdHgQNcOc+1phQUSHBxEW5F+x1uyv2w5u/sVZGvHXp+B/veCMx6HHbTppuRpRIJcqJy/f8rfxy/ls3hau7tmQfwxrh7/WGJeylJcL6ybD7x/DmonOCY1hsU74bnoGNB3knIBZCfj5GbonRtM9MZr/O68Nszfs4+cVu5iyKpmfV+wGoGNCFINa1eGM1rVpWy+yYoUZqRQO51rW7k5l56FMdh3KdO5TDrM7JYuDGdkcPJxDiid45+T5dgWgoAA/osOCqBUeRHR4ILXCgmgSG07r+EhaxUfSKDqs/K9L4ecPvW53Llj1w/0w8RFY/xtc9IbmllcTCuRSpWTn5vOXcYv5YelO7hjYlAeHtFR4kLKzZw0s/tj5tXLabueEy163Q9uLnRHxSj6aFeDvR7/mcfRrHocdZvljVypT/kjm11W7eenXNbz4yxrqRAYzqFVtBrWqQ59mMYQF6b+R6i4/35KcmsWW/Rls3pfO1gOH2XXo8NHwvetQJqlZufDLtGPaxdYIok5kCDXDAomPCiUyNJCoAreaYcc+jwgJwN/P4GcMxoCf59/2I48Nzm9//IwzUp6SmcP+9GwOZGSzPz2HAxnZHEjPZv+Re89ry7Yf4sdlO8n3/BwQFuRPy7oRtI6PpHV8JG3iI2hZN5Ia5XGORc2GcNU4mPcW/PxXeLM/XPqe799XXKd/SaXKOJydx8iPFzJ1zR4ePbsVtw1o6nZJUhVkpsCKb5zR8G3znIvltBgKna+B5mdVqKkoZckYczSQ3Hl6M/alZZG0eg9T/kjm+yU7+WzeVoIC/OjVJIZeTaLp2Tia9vVrampYFZWVm8fW/YfZ6gndm/dnsGVfBlv2O7es3D+vkGoMxNUIJr5mKE3jatCnWSwZ+7bTp3Nb4qNCiY8KoXZkMMEBvjtPwRioGRZEzbCg4nfG+f9jbXIqq3amsGpnKit3pvDdkh18OnfL0X0axYTRum4kvZvGMLhtHeKjfLSGuDHQ81ZnqtsX18F7Q0lofC3YATrhswpTIJcqITUzhxvem8+iLQd45uL2DO+hE2LkFFgLm2c5IXzleOcKkbEt4KynnOXKIuq4XWG5i6kRzCVdE7ikawLZufks2LSfX/9IZvraPfxn4moAQgL96NKwFj0bx9CjcTSdG9bUyaGVSE5ePtsOHGbT3nQ27E1n0950NnpuOw4dxhaYSRIa6E+jmDAax4YzoEUcjWLCaBgTTqPoMOrVDD3hB7OkpD0M7FS/nD+R90KD/OmQUJMOCTWPvmatZfvBw6za6QT1P3alsHx7ChNX7OKJCSvokBDFkLZ1GdymDs1q1yj738bW7wK3TYPxd9Js9bvwebKzZGJozWKbSuWjQC6VXkZ2Lje8N5/FWw/y2lVdOKd9vNslSWWVmw1Lx8LMV2DfWudiPO0vg84jnNEqjU4Bzhzc05rFclozZ5nGfWlZzN90gLkb9zF3w35e+nUN1kKQvx+dGtSkR+NoejaJpkvDWlpa0WV5+ZYdBw+zeV8GG/els3FPOpv2OaF76/4McvP/TN0RIQE0iQ2nW2ItEmMSaBQTRqOYMBpEhxFXI7jKTwc0xpBQK4yEWmGc1ebPH8LXJacxaeUuJq3YzX9/Xs1/f15Nk9hwzmpbh8Ft6tK5Qc2ym4MeWguGf8K6j++j2ZoPnSksl38A9TqXzfGlwtC/jFKpZebkceuHC1m05QCvXqkwLqWUnQ4LP4BZr0LqDqjbAS4cDW2GQVC429VVeDE1ghnari5D29UF4NDhHBZs2s+8jfuZs3E/o6eu57Xf1uFnoElcDdrER9K2XiRt6kXStl4U0eHeTSsQ7xwJ3Zv2pbNpXwab9qaz+WjoPkx23p/TS0ID/UmMDad1fATntK9LYkw4jWOdW3R4UJUP3aXRrHYNmtVuxh0Dm7HrUCaTV+1m0opdvDN9I29O3UBcRDBntanDkLZ16d0k5tSncRnDtgbDaDbwSvjienhnMAz5F3S/WYMEVYgCuVRa2bn53PnJImas28vzl3Xk3A4K41JCGfudk6fmvgGH90OjvjDsVWelFP1HV2pRoYGc0boOZ7R2RhXTs3JZuPkACzcfYMWOFBZuPsCEJTuO7l83MqRAQI+kTXwUDaJDFQZPwlrLocM5bN1/mG0HMth24DBbPfeb950YukMC/UiMCad57QjObFOHxjHhNIoJJzE2jLqRIernU1A3KoQRvRoxolcjDh3OIWl1Mj+v2MX437fz6dwtxEeFcHO/Jgzv3uDUfzvUoAfcNh2+uQ1+fMCZVnf+yxASWTYfRlylQC6VUm5ePn/5fDG//pHMPy9sxyVdE9wuSSqT1F0w+zVY8B5kpzknafa9Dxr2dLuyKik8OID+LeLo3+LPpSAPpGezamcKK3aksHJnCit2HCJpzR7yPFMmagQHOPOSo51bg+iwo8/r1Qwl0L/qnjyalZvHntQsklOzSE7JZPvBTLYdyDgmgKdl5R7TJjIkgIRaYTSrXeOY0N04Npw6kVV/eklFEBUayLBO9RnWqT6ZOXlMW7OHd2Zs5KnvV/LqlLVcf1oi1/VOpNap/EYoPMZZhWXmSzDln7BziTOFpW77Mvsc4g4Fcql08vMtD321lB+W7eRv57bmml6N3C5JKov9G2Dmy7D4U2ft8LYXOxfvqdvO7cqqnVrhQcfMQwdnCtqa3ams2JHCHztT2LI/gzW7U/n1j2SyC6zi4WegXs3QowE9oZYzp7ngutIx4cFEhASU/3rSJ5GZk3d0ne2UzBz2pGazJzWT3SlZ7E7JZLcnfCenZrE/PfuE9mFB/jSoFUaD6FB6NYkhoVYoCZ7nCbXCiAqtmqv9VFYhgf4MbluXwW3rsnDzAUYnreOlX9YyZtoGruzRkJv7NS79Ki1+ftDvPmjQE768Ed4+Ey55G1qfX7YfQsqVArlUKtZaHv92OV8v2s59Z7Xg5n5N3C5JKoP9G+C3f8PyL8EvADpdDX3uhmh9fyqSkMATV7oA54fw3amZxyyzd+Q2eeVu9qadGGAB/P0MtcKcgF4rPIiYcGcZvNBAfwIDDMH+fgQF+BHouQ8K8CPI/8/7QH8/8q0lJ8+Sm5/P0m057Jy3hZy8fLJz88nNt+Tk5pOTl09OviUtM5eUTE/oPhq+czl0OOeYHyiOr/HIetwJtcLo2qgWtSNCqBMZTJ1IZ3nA+KhQaoUFapS7kuraqBZvX9ed1btSeWPqet6ftYkPZ2/i4s4J3DqgCU3japTuwIl9YOQM+Gw4jLsWzvmvM69cKiUFcqk0rLU8/cMqPpm7hdsHNuWuQc3cLkkquvS9MPU/sOBdZ73wXndA71EQqfMNKhM/P+NZvzqUnk1iTtiekZ3rXAAmPYf9GdnsT89yLvpyzEVgslm/J4396Tlk5eSR5QnVJbZ8WaEvB/obwoMDiAoNJDLEuZBN3aiQo88jQwOPXvgmMiSA2BrB1I4MJiY8WFcSriZa1o3gxSs6cd9ZLXhr+gY+n7+VcQu3MrRtXe4Y2Iz2CVElP2iNOLjuO/jyBucKnyk7YNDjOgemElIgl0rjxclreHvGRq4/LZGHdAVOKUp2Osx+3ZmekpMBXUbAwEchoq7blYkPhAUFEBYUQEKtkrWzntHvIyPe2Z77rFznPicvH38/Q4C/IdDfj0Xz59G3T28CPaPngZ7XA/yM/j0SrzWIDuMfw9px9xnNeW/mRj6cvZmflu/irDZ1eGpYO+pGhZTsgEFhcMUn8MN9MP15SNkJF7xSZS9aVlUpkEulMDppPa9MWccV3Rrwf+e10X9+Uri8XOfS9r/9G9J2Qavz4IwnIK6F25VJBWSMISjAEBTgR3hw8ftvDfPz3dUZpdqJrRHMg0NaMXJAUz6cvZlXp6zlrBem8ti5rbmie4OS/T/nH+CsuBJZH5L+BWm74fIPIbiU02Gk3FXd09Slynh/5kaenfgHwzrV418Xt68wJ2lJBWIt/PEDjO4N390DNRvCjT/D8E8UxkWkQosICeTO05sx8Z7+tKkXySNfL+Oad+aydX9GyQ5kDAx8GM5/BTYkwfvnQlqyT2qWsqdALhXauPlbefK7lQxuU4fnLuuouZZyoq3z4N2hMPYqJ5hf8THcNAka9nK7MhERryXGhvPZLb3454XtWLL1EINfnMZ7MzeSX+DqqV7peh0M/xT2rIZ3zoJ9631TsJQpBXKpsH5atpOHv17KgBZxvHpV5yq97rCUwv4N8Pk1zn84BzbCeS/CHXOcpb80pUlEKiE/P8M1vRox6S/96dkkmr9/t5LL3pzNjrQSnoDccihc/z1kpTpX9ty20DcFS5lRwpEK6fctB7j388V0blCTN67pSnCAv9slSQXhn3sYfv0H/K8nrJsCA/8Kdy2Cbjc68yhFRCq5ejVDee/67rxweUfWJafxf7MO83rSOnLzShDME7rBjZMgKBw+OA/WTPJdwXLKFMilwtm6P4ObP1hAncgQ3rq2G6FBCuOCMx1l6Th6zLvDWUmg7UVw1wJnzqROXBKRKsYYw8VdEph8X386xfnzn4mrufD1mazckeL9QWKbwc2/QGxzZ73yRR/5rmA5JQrkUqEcysjh+vfmkZtvee+G7sTU8GLpA6n6dix25ol/fQvZQbWcUZ+Lx0BkPbcrExHxqdoRIYzqHMLoq7uw61AWF7w2g1d/XYu1Xs4tr1Ebrv8BmgyECaNg3ls+rVdKR4FcKozs3HxGfryQLfszeHNE19JfvUyqjvS9MOFuGDMQ9q2DC15lYdfnoGFPtysTESlXZ7eP55f7+nNO+3ien7yGez9fTGZOnneNgyPgqs+h5bnw4wPw+8e+LVZKTBMupUKw1vLo18uYvWEfL17RkV6FXI1PqpG8HJj/trOeeE66c4XNAQ9BaE1ISnK7OhERV9QMC+Ll4Z1oFR/BfyauZvuBw4y5thvR4UHFN/YPhMvec6auTLgLAkOh3SW+L1q8ohFyqRBenbKOrxZt4y9ntuCizglulyNuWv8bvNEXJj4CCV3h9lkw9F9OGBcRqeaMMdwxsBmvXdWZpdsPcdHrM9mwJ827xgHBzlU9G/SCr2+F1T/5tljxmgK5uG7879t5YfIaLu5Sn7vPaOZ2OeKWA5th7NXw0YWQmwnDP4Nrvoa4lm5XJiJS4ZzXoR6f3dKLtMxcLnp9FnM37POuYVCYM30lviOMu9YZBBHXKZCLq+Zu2MdDXy6lV5Nonrm4Q8kuFSxVQ85hZ2rK/3rA+ikw6HG4Yy60OkfriYuIFKFro1p8c0cfYmsEcc07c/l60TbvGoZEwtVfQmwL56Jqm2f7tlAplgK5uGb9njRu/WghCdGhvHlNN4IC9HWsVqyFlRPgtR4w9RloeQ6Mmg/9H4DAELerExGpFBrGhPH17X3o1iia+8Yt4YXJa7xbgSUsGkaMh8j68MllsH2Rz2uVk1MCElfsS8vihvfmE+BneP/6HkSFBbpdkpSnPaudqSnjRjhn/1/3vXOyUZTOHxARKamosEA+uLEHl3ZN4JVf1/KXzxeTlevFCiw14uC6CU44//hi2L3C98VKoRTIpdxl5uRx60cL2Z2SyVvXdaNhTJjbJUl5yUyBnx+D0afBjt/h7P/AbdOgcT+3KxMRqdSCAvz476UdeHBIS8Yv3sGIt+dxID27+IaR9ZxQHhAKHw6DvWt9X6ycQIFcylV+vuX+L5awcPMBXryiE10a1nK7JCkP+fmw+FN4tSvM/h90usq53H3P23S5exGRMmKM4c7Tm/HqlZ1ZvO0gF70+k41704tvWCvRCeUAH1wABzb5skwphAK5lKtXpqzlh6U7efTsVpzTPt7tcqQ8bFsI7w6B8bdDrUZwyxS44FUIj3W7MhGRKun8jvX47JaepGTmcunoWd4tixjb3JlTnpPhhPKUHT6vU/6kQC7l5rc/knn517Vc3KU+t/Zv4nY54msHt8JXt8Dbg5zRlgtHO5e8r9/F7cpERKq8ro2i+WJkbwBGvDOPnYcOF9+objsY8TVk7Hemr6Tv9XGVcoQCuZSLLfsyuGfs77SuG8m/Lmqv5Q2rsqxU+PUf8Fo3WDUB+j0Ady9ypqn46Z8cEZHy0jSuBh/c2INDh3MY8c489nszp7x+V7h6HBzcAp+PgFwv2sgp0/+O4nOHs/O47eOFALxxTVdCAv1drkh8Ij8PFr4Pr3SB6c9D6wtg1AI443FnJRURESl37epH8fZ13diyP4Mb3ptHWlZu8Y0anQbD/gdbZsGPDzjL1IpPKZCLT1lreWz8Mv7YlcLLwztrRZWqav0UeKMffHcPRDeBm6fAJW9BzQZuVyYiUu31ahLD61d1YfmOFG77aIF3SyK2vxT63Q+LPoB5Y3xfZDWnQC4+9cncLXy9aDv3nNGc01vVdrscKWvJfzgXlPjoIshOg8s+gBsnQkJXtysTEZECzmxTh/9e2oGZ6/Zxz2eLyc3LL77R6X+DlufCxEdh/W++L7IaUyAXn1m05QB//24Fp7eM4+5Bzd0uR8pSWjL8cL+znviWOXDWU85VNtteqMvdi4hUUBd3SeD/zmvDxBW7+Os3y4q/oqefH1z8JsS1hC+uh33ry6XO6kgLAItP7E3L4o6PF1E3KoQXr+iEn59CWpWQtgdmvQzz3oa8bOh2Iwx8REsYiohUEjf2bczBjGxembKOmmFBPHp2q6IXWgiOgCs/gzGnw2fD4eZfICSq/AquJhTIpczl5uVz16e/cyAjm69uP42aYUFulySnKn2fJ4i/BbmZ0P4y6P8QxDZzuzIRESmhv5zVgoOHcxgzbQM1wwK5Y2Ax/5bXSoQrPnKWQvzyJrjqc/DTAg1lSYFcytx/J61m9oZ9PH9ZR9rV10/RlVrGfpj1Cswd41wsov2lThCPa+F2ZSIiUkrGGJ48vy0HM3L4z8TV1AwN4qqeDYtulNgXzvkvfP8X+OUJGPzP8im2mlAglzL107KdvDl1A9f0asglXRPcLkdKK2O/c4n7uW9Adjq0uxgGPOzMIxQRkUrPz8/w/OUdScnM4bHxy4gKDeTcDsVcQbvbjbB7Bcx6FWq3ca4vIWVCgVzKzLrkNB74YgmdGtTk8fPauF2OlMbhAzD7dSeIZ6VA24ucIF67tduViYhIGQv092P01V0Z8c5c7v38dyJCAujfIq7oRkOfgT2rnWVuY5pDg+7lU2wVp1VWpEykZeUy8uOFhAT6M/qaLgQHaG5ZpXJwC0x+Al7qCNP+A00Gwu2z4LL3FcZFRKqw0CB/3rm+O81qRzDy44WsS04tuoF/IFz+IUTWh7FXwaHt5VNoFadALqfMWsvDXy5lw540Xr2qM/FRoW6XJN6wFjZMhbFXw8sdnbniTQfCyBnOyTt12rpdoYiIlIOo0EDeu747oYH+3P7xIjKyi7maZ1i0s/JKzmEYeyVkZ5RPoVWYArmcsvdmbuKHZTt5eGgrTmuq5e8qvKw0mP82vN4LPrwAtsyGPvfCPUudUY+67d2uUEREylndqBBeHt6ZdXvSeOyb5cWvUV67NVzyNuxcCt/e6QzySKlpDrmckpU7Unjmpz84s3Udbu3fxO1ypCh71zlBfPEnzvzw+E5w4WhoezEEhrhdnYiIuKxv81juPaMFL/6yhu6J0cWvvNJyKJz5BPzyJNTrDH3uLpc6qyIFcim17DzLPWN/JyoskP9c2qHoCwuIO/LzYd1kmDcG1v0CfoHO1TR73AYJ3XRVTREROcZdg5qxYPN+nvxuBR0SoopfvrjPvbB9Ifz6D2jczwnmUmKasiKl9vnqbNYmp/HC5R2JDtfFfyqM/DzYNBN+fAhebAOfXg67lsPAv8JfVji/YmzQXWFcRERO4OdneOmKTsSEB3H7Jws5dDin6AbGwPmvQHicc9GgrLTyKbSKUSCXUvl11W5+3ZLLzX0b0695MUskie/l58HG6fDD/fBCa3j/HFj0AdTvCpe+B39ZDgMfhog6blcqIiIVXEyNYF67qgs7D2bywBdLip9PHhYNF4+B/Rtg4iPlU2QVoykrUmLJqZk8+OVSGkb48eBQXSjGNXm5sHkGrPwWVn0H6XsgIBSan+VMS2k+GIIj3K5SREQqoa6NavHoOa156vuVvDV9A7f2b1p0g8b9oN99MP15aHaGcx0L8ZoCuZRIfr7lgS+Wkp6VywO9grXeeHnL2A9b58KaibDqe8jYC4Fh0GIItBnmhPCgcLerFBGRKuDGPoks2LSfZyeupnPDWnRPjC66wcBHYUOSc9Gg+t2gZoNyqbMqUCCXEnlv1iamrdnDUxe2o17mRrfLqdqsdS7Ys2WOszThljmwZ5WzLTDcObu9zYXQ7EwICnO1VBERqXqMMTx7aQdWvTqDUZ8u4oe7+xFbI/jkDfwDnfOU3ugH39wG130Hfhq484YCuXht1c4UnvUscXhNz4ZMnapAXqby82D3imMDeOoOZ1twJDToCe0vhYa9nbnhWqpQRER8LDIkkNev7spFr8/knrG/8+GNPfH3K2JRgOgmcM5zMH4kzHgB+j9YfsVWYj4N5MaYocDLgD/wtrX2meO2G8/2c4AM4Hpr7aKi2hpj/gucD2QD64EbrLUHPdseBW4C8oC7rbU/+/LzVSeZOXnc/ZmzxOGzl7TXEoenIi+H0IwdsOZn2LfOue1dCzuXOOuDg3NJ4kanQcNeTgCv3VqjDCIi4oo29SJ5alg7HvpqKS//upb7zmpRdIOOw52ldn/7NzQe6KzsJUXyWSA3xvgD/wPOArYB840xE6y1KwvsdjbQ3HPrCYwGehbTdjLwqLU21xjzLPAo8LAxpg0wHGgL1AN+Mca0sNbm+eozVif/+nEVa5PT+PDGHsQU9esqceRkOidZHtj0Z+jet965P7CRnvm5MM+zb2gtiGnuGf32hHDNuxMRkQrk8u4NmLdpP69OWUvXRrUY0KKIFdaMgfNegG3z4KubYOQMCIksv2IrIV+OkPcA1llrNwAYY8YCw4CCgXwY8KF11tOZY4ypaYyJBxJP1tZaO6lA+znApQWONdZamwVsNMas89Qw21cfsLr4ddVuPpy9mZv6NqZ/UX8Bq6rcbMhOc0avs1IhYx+k7/Xc9nhuxz3OTj32GAEhEN3UGelufT6r9ubRus95ENPMWS5KRESkgntqWDuWbz/EvWN/54e7+1GvZujJdw6JgovfhveGwo8POMsiykn5MpDXB7YWeL4NZxS8uH3qe9kW4Ebg8wLHmlPIseQUHFnisHV8JA9VtiUO8/OcEJ2Zctz9Ic/jQ3++lpXquaU599kFnudlnfw9jD+ExTgXRAiPdeZ2h8dBeAyExUKtRk7ojkwAvz+X/d+dlETrBj3KoRNERETKRmiQP69f3YULXpvJqE8XMe623gT4F3FJm4Y9YcAjkPQvZwGCDpeXX7GVjC8DeWGTjI9fWf5k+xTb1hjzGJALfFKC98MYcytwK0BcXBxJSUmFNBOAfGt5YWEWqYfzuL+zP7NnTD9me1pamjv9Zy0BuWkEZ+0jOGvvcfdHHh8gIC+92EPlm0ByA8LIDQgjzz+M3IBQ8vxDyQuMJjc09NjXPI9zAiPJCYwiOyiK3IAaYAr5xygfSPPctm4ANhyz2bW+qwLUd6dG/Vd66rvSU9+dmorWfyNa+TN6yUEe/eAXzm1S9JW6TX43Oka1oca3d7Ngez6ZoXXLqUpHReu7k/FlIN8GFJwImwDs8HKfoKLaGmOuA84DzrB/Xj7Km/fDWjsGGAPQsmVLO3DgQK8/UHXz7oyNLN+7kqcubMfVvRqdsD0pKQmf9p+1zlW/dvzu3HYtg5TtkLIDcjKO3df4QY26EFkP6naBiHhnbnZIpLNCydH7KOfmec0vIJggnC9cefJ531Vh6rtTo/4rPfVd6anvTk1F67+BwMbchXy7Opnbz+9Gk7gaRTfo0hxG96XX9rfhhongX36L/FW0vjsZX/bIfKC5MaYxsB3nhMurjttnAjDKM0e8J3DIWrvTGLPnZG09q688DAyw1mYcd6xPjTEv4JzU2Zw/T5uTElq1M4VnfvqDM1vX5pqeDX3/htY6YXvH77B9EexY5DzOPORsDwiBOm2hbgdoMdRZhSSy3p/3NeqU619wERGR6uwfF7Zl1vN7efirpXx+a2/8iloKsWZD5yTPr26Cqc/CoMfKr9BKwmcJxrMKyijgZ5ylC9+11q4wxoz0bH8D+BFnycN1OMse3lBUW8+hXwOCgcmepffmWGtHeo49Duek0VzgTq2wUjo5efncP24JkaGBPHtJB98scWgt7FwMaybB9oVO+E5Pdrb5BUDtNs5ld+t1gfpdIK6Vc8EBERERcV3tiBAeP68ND365lI/nbuba3olFN2h/KayfAtOfg6anO0v7ylE+HVK01v6IE7oLvvZGgccWuNPbtp7XmxXxfk8DT5e2XnG8OXU9K3em8OaIrmW/xOGe1bD8K1j2JexfDxiIawnNzvgzfNdpp4veiIiIVHCXdk1gwpIdPPvTHwxqVZuEWsVcNfrsZ2HzTPh2FNw+EwKLWKWlmtHv+OUYa3an8sqv6zivQzxD2pbRiRcHNjshfPnXsHsZYKBxP+hzD7Q+X8v+iYiIVELGGP51UXuGvDSNv36znA9u6F70b9WDI+C8l+CjC2Haf+GM/yuvUis8BXI5Ki/f8uCXSwkP9ufvF7Q9tYOl7oYV3zhBfJtnKn9Cdxj6LLS9ECLK9yxrERERKXsNosN4eGgrnpiwgq8XbeeSrglFN2h6OnS8Cma+DG0vhrrtyqfQCk6BXI56d8ZGlmw9yMvDO5Vuqoq1sPonmDsaNs0Amw912sMZT0C7i6FWYpnXLCIiIu4a0asR3y3ZwT++X0m/FrHUjihm2umQp2HtJPjubrhpMvj5l0+hFVgRq7lLdbJxbzrPTVrNma3rcEHHeiU/wIap8PaZMPZKZ4pKvwfgjrlw+wzod5/CuIiISBXl52d49tIOHM7J44lvVxTfICwahj7jLOow7y3fF1gJKJAL+fmWh79aSlCAH09f1K5kq6psXwgfDoMPL4DUnXDBq3DXImdJo9qtfFe0iIiIVBhN42pwzxnN+Wn5Ln5atrP4Bu0vda7e+es/4ODW4vev4hTIhU/mbmbexv08fm4b6kR6ubpJ8h+0Xf5veGuQc8GeIf92gniXa7UeuIiISDV0a/8mtK0XyePfruBgRnbROxsD574AWPjhfmfaazWmQF7NbTuQwTM//UG/5rFc1q2YEzHAmY7yzUgY3ZtaB5bAwL/CPUug9x1aqlBERKQaC/T34z+XduBARjb//GFV8Q1qNYJBf4O1P8OKr31fYAWmQF6NWWt59OtlAPz74vZFT1VJ3Q0/PgivdnVWT+l9J3N7joGBDzvLGImIiEi117ZeFCMHNOHLhduYumZP8Q16joR6neGnhyFjv+8LrKAUyKuxLxZuY/ravTxydquTL+afnw8zXoJXOsH8d6Dz1XD37zD4n+QERZZnuSIiIlIJ3DWoOU3jwvnr18tIy8otemc/f+f8s4z9MPnx8imwAlIgr6Z2p2Ty1Pcr6dE4mqt7Nip8p7Rk+Phi+OUJaDoIRs2H81+GyFKswiIiIiLVQkigP/+5tAM7Dh3mvxP/KL5B3fZw2l3w+8ewcZrvC6yAFMirIWstj32znOzcfJ69pAN+foVMVVk/BUb3gS2znRB+xccQ07T8ixUREZFKp2ujaK7rncgHszczf5MXU1EGPgK1GsN390DOYd8XWMEokFdD3y3dyS+rdvPA4JY0jg0/dmNeDvzyd/joYmed0Ft+g67XO2dDi4iIiHjpwSEtSagVysNfLiUzJ6/onQND4fyXYP8GmPqfcqmvIlEgr2b2pWXx5IQVdGxQkxv7Nj5248Et8P65MOMF6DLCCeN12rhTqIiIiFRq4cEB/Oui9mzYm867MzcW36DJQOh0Ncx6BXYt93l9FYkCeTXzxIQVpGbm8N9LO+BfcKrKygnwRl/YvRIuecc5wSLoJCd6ioiIiHihf4s4zmxdh/9NWUdyambxDQb/E0JqwoS7IL+YUfUqRIG8Gvl5xS6+X7qTuwc1p0Udz1KFOZnwwwMwbgREN4GR05yrZ4mIiIiUgcfObU12Xj7P/7ym+J3DomHoM7BjEcwb4/viKggF8moiLSuXJ75dQau6EYwc6Dk5c+9aePtMmP8W9B4FN05yQrmIiIhIGWkcG851vRMZt3Ary7cfKr5B+0uh2Znw61POdNpqQIG8mnjl17XsSsnk6YvaE+jvB8u/gjcHQMp2uGocDHkaAoLcLlNERESqoLvOaE6tsCD+8f1KrLVF72wMnPei8/inR3xfXAWgQF4NrNmdyrszNnJFtwZ0bVQLFn4AX94E8R3g9pnQYojbJYqIiEgVFhUayH1ntWDexv1MXL6r+AY1G0L/+2H1D7Ahyef1uU2BvIqz1vK38cupERLAw2e3gnlvwXd3O78KGvGNLvIjIiIi5WJ49wa0rBPBv35aVfwyiAC97oSajWDio5BXzBU/KzkF8ipu/OLtzNu4n4eGtCJ6yZvw4wPQ8lwY/omz5qeIiIhIOQjw9+P/zm/D1v2HvVsGMTAEBj8FySth0fs+r89NCuRV2KHDOTz9wx90bFCT4YfHwqS/QduL4PIPICDY7fJERESkmunTLLZkyyC2vgAa9YUpT8PhA74v0CUK5FXYi5PXsC89k7fq/4Rf0tPQYThc/Db4B7pdmoiIiFRTJVoG0RgY+m8njFfhK3gqkFdRy7cf4sPZG/k44TtqL34VulwHF44G/wC3SxMREZFqrHFsONefVoJlEOM7QJdrnXXJ93gR4ishBfIqKD/f8vg3S3km5EP67BkLPW6D818GP/1xi4iIiPtGDSrBMogAgx6HwDCY9Jjvi3OBEloV9MX8TQzf9RyX25+hzz1w9rPOr3xEREREKoCo0EDuH1yCZRBrxEH/B2HtJFj7i+8LLGcK5FXMgdQMIn4axRUBSdj+D8GZf1cYFxERkQrnim4NaFU3gqd/9HIZxJ4jnSuK//wo5OX4vsBypEBeleRms+3t4ZzDDJJ7PIwZ9JjCuIiIiFRIAf5+PH5eG7Yd8HIZxIAgGPw07F0D89/xfYHlSIG8qsjP5+BHI2h/aCqTGtxD7XP+6nZFIiIiIkXq0yyWs9qUYBnElmdDk4GQ9C9I3+fz+sqLAnkVkf/L36m5eSIv+l/Padf8n9vliIiIiHjlr+c4yyA+9/Pq4nc2Bob8G7LSnFBeRSiQVwVLxuI36yU+yT2DZuc/RI1gLW0oIiIilcORZRC/WLjNu2UQ67SBbjfCgndh90rfF1gOFMgru63zsBPuYi5tmdTofs7rWM/tikRERERK5K4zmhNdkmUQT/8rBEc6J3h6s38Fp0BemR3cCmOvYp9fHKNy7uH/LuyI0UmcIiIiUslEhgRyn2cZxMkrdxffICwaBj4KG5Jg9U8+r8/XFMgrq6w0+OxKcrMPc0XavVzWryNN42q4XZWIiIhIqVzRrQGNY8N5YfIa8vO9GPXufhPEtnQuFpSb5fsCfUiBvDLKz4dvbsMmr+CJoAfIjGrGqEHN3K5KREREpNQC/P2498zm/LErle+X7Sy+gX8gDPkX7N8Ac9/0fYE+pEBeGf32T/jje35v9QCf7GvBX89pTViQTuQUERGRyu38DvVoWSeClyavITcvv/gGzc+E5oNh2n8hbY/vC/QRBfLKZukXMP15sjtew61rutOtUS3OaV/X7apERERETpmfn+G+wS3YsDedr3/f7l2jIf+CnAxnwLKSUiCvTLYtgG/vhEZ9eDl4JHvTc3j8vDY6kVNERESqjMFt6tAhIYqXf1lLdq4Xo+SxzaHbTbDoI9i7zvcF+oACeWVxaBuMvQoi6rJ98Ju8NWsbF3WuT8cGNd2uTERERKTMGGO4f3BLth88zOcLtnrXqP8DEBBSaUfJFcgrg+x0+OxKyM6Aqz7n31P34GfgoaEt3a5MREREpMz1bx5L98RavDZlLZk5ecU3qFEbet8BK76BHYt9Xl9ZUyCv6PLz4ZuRsGsZXPoOCw/X4fulO7m1f1Pio0Ldrk5ERESkzBljeGBwS3anZPHxnM3eNTrtLgitBb/+w7fF+YACeUU39RlYNQHO+gf5zQbzj+9XUTsimNv6N3G7MhERERGf6dkkhn7NY3k9aT1pWbnFNwiJgr73wfpfYdMM3xdYhhTIK7KN02Hqf6DjlXDaXUxYsoMlWw/y4JCWhAdrmUMRERGp2u4f3JL96dm8P3Ojdw163AIR9eCXv4P14uJCFYQCeUV1+KAzVSW6MZzzHIdz8nl24h+0qx/JJV0S3K5ORERExOc6NajJma3r8Oa0DRzKyCm+QWAoDHwYts2D1T/5vsAyokBeUf34IKTuhIvfguAavD19AzsPZfL4uW3w89MyhyIiIlI93HdWC1Izc3lr+gbvGnS6BqKbwpSnwHpxQmgFoEBeES3/CpaNg/4PQkI3dqdkMnrqeoa2rUvPJjFuVyciIiJSbtrUi+TcDvG8O3Mj+9Kyim/gHwCD/gbJK6mze5rvCywDCuQVTcoO+P4+qN/VWVMTeO7n1eTk5fPI2a1cLk5ERESk/P3lzBZk5uTxxtT13jVocyHU7UDips8gN9untZUFBfKKJD8fxt8OednOVBX/QJZvP8SXi7Zx/WmJJMaGu12hiIiISLlrVrsGF3VO4MPZm9mdkll8Az8/OOMJQjN3w6IPfF/gKVIgr0jmvQkbkmDI0xDTFGstT32/klphQYwa1Nzt6kRERERcc88ZzcnLt7w2ZZ13DZqdwcGods6Kddnpvi3uFCmQVxTJq2DyE9BiKHS9AYBJK3czd+N+/nJmc6JCA10uUERERMQ9DWPCuKJ7A8bO38LW/RnFNzCGDU1GQHoyzBnt+wJPgQJ5RZCbDV/fAsERcMGrYAzZufn8+8dVNKtdgyt7NHS7QhERERHXjRrUDGMMr/y61qv9U6JaQctzYOYrkLHfx9WVngJ5RZD0L9i1zAnjNWoD8OHsTWzal8Fj57YmwF9/TCIiIiLxUaGM6NWIrxZtY8OeNO8aDXocslJg5ks+re1UKOm5bfMsmPESdLkWWp0DwP70bF7+dS39W8Rxesva7tYnIiIiUoHcPrApwQH+vPiLd6Pk1GkDHS6HuW86q9lVQArkbspMga9vg1qJMOTfR19++Zc1ZGTn8bdzW7tXm4iIiEgFFFsjmBv6JPLdkh38sSvFu0YDH4X8POcEzwpIgdxNPz0MKdvg4jEQXAOATXvT+WTuFoZ3b0CLOhEuFygiIiJS8dzavwk1ggO8X3ElujF0vR4WfQj7vFzLvBwpkLtl5bew5FPo9wA06HH05ecnryHQ3497ztQyhyIiIiKFqRkWxDW9GvHDsp3ezyXv/yAEBMNvT/u2uFJQIHdD6i747h6o1wUGPHT05eXbD/Hdkh3c1LcxtSNCXCxQREREpGK7qW9jgvz9GJ3k5Yh3RB3odTss/wp2LvVtcSWkQF7erIVv74ScTGeqiv+f64s/O/EPaoYFcuuAJi4WKCIiIlLxxUUEc2WPhnzz+3a2HfBiXXKA0+6GkJow5Smf1lZSCuTlbflXsO4XOOsfEPvntJRZ6/Yyfe1e7hzYjMgQXQRIREREpDi39m+CMTBm2gbvGoTWhD53w9pJsG2hT2srCQXy8pR5CH7+qzNVpftNR1+21vLsxD+oFxXCiN6NXCxQREREpPKoVzOUizsnMHb+VpJTM71r1ONWCK0FU5/1bXEloEBenqY8Del74LwXwM//6MsTl+9iybZD3HtWC0IC/Ys4gIiIiIgUdPvApuTm5fP29I3eNQiOgN6jYO3PsL1ijJIrkJeXHYth/lvQ/Wao1/noy7l5+fx30mqa167BJV0S3KtPREREpBJKjA3n/I71+HjOZg6kZ3vXqMetzlzyCrIuuQJ5ecjPgx/ug7BYOP2xYzZ9sXAbG/ak88CQlvj7GZcKFBEREam87hjYjIzsPN6btcm7BiGRcNooWDMRdvzu09q8oUBeHhZ94PxKZMjTzskEHpk5ebz0yxq6NKzJ4DZ13KtPREREpBJrWTeCwW3q8P7MjaRm5njXqMdtzih5kvtzyRXIfS1tD/zyJCT2g/aXHbPp/Vmb2J2SxcNDW2GMRsdFRERESmvUoGakZOby8Zwt3jUIiYTed8Kan5ypxS5SIPe1yf8H2Rlw7gtQIHQfysjh9d/WcXrLOHo2iXGxQBEREZHKr0NCTfo1j+WdGRvIzMnzrlHP2yAkyvW55ArkvrRpJiz51FnvMq7FMZtGT11PalYuDw1t5VJxIiIiIlXLXYOaszctm7HzvB0lj4Jed8LqH2DnEt8WVwQFcl/Jy3FO5KzZEPo9cMymXYcyeW/mRoZ1rEfr+EiXChQRERGpWno0jqZHYjRvTttAdm6+d4163gbB7o6SK5D7yuz/wZ4/4Oz/QlDYMZte/nUt+dZy/+CWLhUnIiIiUjXdOagZOw9l8vWibd41CK0JvW6HP76HXct8WtvJKJD7wsGtztWfWp4LLYces2n9njTGLdjK1T0b0SA67CQHEBEREZHS6N88lvb1oxg9dT15+da7Rr1u94ySu7PiigK5L0x8xLk/+5kTNj0/aTUhAX6MGtSsnIsSERERqfqMMdx5ejM278tg3i4vT+4MrQm9RsKq72DXcp/WVxgF8rK2eqLzK48BDznzxwtYsvUgPy7bxc39mhBbI9ilAkVERESqtsFt6tCiTg2+35BNfolGySNdGSX3aSA3xgw1xqw2xqwzxjxSyHZjjHnFs32pMaZLcW2NMZcZY1YYY/KNMd0KvJ5ojDlsjFnsub3hy89WqOwM+OlBiGvlnLF7nP/8/AfR4UHc3K9xuZcmIiIiUl34+Tmj5NvTLJNX7fauUWgt5wTPVRNg9wrfFngcnwVyY4w/8D/gbKANcKUxps1xu50NNPfcbgVGe9F2OXAxMK2Qt11vre3kuY0s449UvOnPw8EtcO7zEBB07Ka1e5i5bh+jTm9GREhguZcmIiIiUp2c2z6e2mGG//22Dmu9HSW/A4Iiyn3FFV+OkPcA1llrN1hrs4GxwLDj9hkGfGgdc4Caxpj4otpaa1dZa1f7sO7S2bMGZr4MHYZDYt9jNllr+c/E1STUCuXqXg1PcgARERERKSsB/n6c2ziQpdsOMW3tXu8ahUU7o+Qrx8PulT6tryBfBvL6wNYCz7d5XvNmH2/aFqaxMeZ3Y8xUY0y/kpdcStbCj/c7yxsOfuqEzT+v2M2y7Ye498wWBAf4l1tZIiIiItVZn/oBxEeF8L8p67xv1PtOCKoB08pvlDzgZBuMMR9Za0cYY+6x1r5cimObQl47/vcFJ9vHm7bH2wk0tNbuM8Z0BcYbY9paa1OOeUNjbsWZHkNcXBxJSUnFHLZ4sXtm027jNNY0v40dC1YCf/5ElW8t/5x5mLphhlqH1pKUVIIvRAWXlpZWJv1XHanvSk99d2rUf6Wnvis99d2pUf+VXmZGOoPig/nkj/28+fWvtIz2bmC0cd2hNFzxFfPDPiQj3PezG04ayIGuxphGwI3GmA85LiRba/cXc+xtQIMCzxOAHV7uE+RF22NYa7OALM/jhcaY9UALYMFx+40BxgC0bNnSDhw4sJiPUYy8HPjffRDbkhbD/0UL/2O7dMKSHWxL+52Xh3fijE7eDPJXHklJSZxy/1VT6rvSU9+dGvVf6anvSk99d2rUf6WXlJTE3wb3Y+KzU5iXEsltF3f3rmGPDvDSRHpk/AbnvufbIil6ysobwESgFbDwuNuCItodMR9oboxpbIwJAoYDE47bZwJwrWe1lV7AIWvtTi/bHsMYE+c5GRRjTBOcE0U3eFHnqVnwHuxf70xVOS6M5+bl89Iva2hZJ4LzO9TzeSkiIiIicqzQIH+u7Z3Ir38ks2Z3qneNwqKhxy2w4htI/sO3BVJEILfWvmKtbQ28a61tYq1tXODWpLgDW2tzgVHAz8AqYJy1doUxZqQx5sgKKD/ihOZ1wFvAHUW1BTDGXGSM2Qb0Bn4wxvzsOVZ/YKkxZgnwJTDSi1H8U5N5CJL+DY37Q/PBJ2z+dvEONuxJ5y9nNcfPr7BZOCIiIiLia9f2bkRooD9jppVgrLb3XRAYBtP+67vCPIqaQx7tefhYgcdHeRN2rbU/4oTugq+9UeCxBU5csPskbT2vfwN8U8jrXwFfFVdTmZr+Ahw+AIP/CebYwJ2Tl8/Lv66lbb1IhrStW65liYiIiMifaoUHcUX3BnwydzMPDG5J3aiQ4huFx0CPm2HmKzDwUYj13VXWi5qycmRqykJgD7AGWOt5vNBnFVUWB7fAnNHQcTjEdzxh81cLt7Flfwb3ndUCYzQ6LiIiIuKmm/o2Jt/CezM3et+o9ygICIaZL/quMIqesnJkasrPwPnW2lhrbQxwHvC1T6uqDH59yhkVH/S3EzZl5ebx6pR1dGpQk0GtartQnIiIiIgU1CA6jHPax/PJ3C2kZOZ416hGbehyLSwZCwe3Fr9/KXmzDnl3z/QRAKy1PwEDfFZRZbB9ESwb56xTGZVwwuZx87ey/eBhjY6LiIiIVCC39W9CWlYun87d4n2j0+527me/5pui8C6Q7zXG/M0Yk2iMaWSMeQzY57OKKjprYdLjEBYLfe49YXNmTh6v/baO7om16Nc8tvzrExEREZFCtasfRd9msbw7YyNZuXneNarZwLkS+8IPIG2PT+ryJpBfCcThnEg5Hqjtea16WjMRNs+A0x+FkMgTNn8ydwu7U7K476yWGh0XERERqWBuG9CE5NQsvl1c5CVujtX3XsjNhDmv+6SmYgO5tXa/tfYeYCDQ31p7j8+XE6yo8nKc0fGY5tDluhM2Z2TnMjppHac1jaF30xgXChQRERGRovRtFkub+EjGTNtAfn5xF4L3iG0ObYbB/Lfh8MEyr6nYQG6M6W6MWQYsAZYZY5Z4Lk1f/Sz6APathbP+Af6BJ2z+cPZm9qZlc//gFi4UJyIiIiLFMcZw24AmrEtOY8ofyd437Hc/ZKXA/LfKvCZvpqy8A9xhrU201ibirBvu+2uIVjSZKfDbv6FRX2h59gmbUzNzeGPqega0iKNroxOWbRcRERGRCuKc9vHUrxnKm9PWe98ovoNzIcg5oyE7vUzr8SaQp1prpx95Yq2dAXh53dEqZOZLkLEXBj91wkWAAN6buYmDGTncd5ZGx0VEREQqskB/P27u15j5mw6wcPMB7xv2ux8y9sGiD8u0Hm8C+TxjzJvGmIHGmAHGmNeBJGNMF2NMlzKtpqI6tA1m/w/aXw71T/zIhzJyeGv6Bs5sXYeODWqWf30iIiIiUiKXd2tAVGggY0oySt6wlzNbYuYrkJtVZrV4E8g7AS2AJ4AngdbAacDzwHNlVklFNuWfznKHZzxe6Oa3Z2wgNTNXo+MiIiIilUR4cADX9m7EpJW72bAnzfuG/e6D1B3OxYLKiDerrJxexG1QmVVSUe1c4nR4r9uhZsMTNu9Pz+bdGRs5t308beqduAyiiIiIiFRM152WSKC/H29N3+h9o6aDoF5nmPEi5OWWSR3ejJBXX9bCpL9BaC3np6FCvDltPRk5edx7ZvNyLk5ERERETkVsjWAu7ZrAV4u2kZya6V0jY5y55Ac2wsrxZVKHAnlR1k6GjdNg4KMQEnXC5j2pWXw4azPDOtajeZ0IFwoUERERkVNxS78m5OTl88GsTd43ankuxLWC6c9Dfv4p11BkIDfG+BljTjvld6mM8nJh8uMQ3RS63VDoLqOT1pOdl889Z2ruuIiIiEhl1Dg2nKFt6/LR7M2kZXk5BcXPD/reB8krnau4n6IiA7m1Nh/n5M3qZ+lY2PMHnPlkoRcB2p2SycdzN3Nx5/o0jg0v//pEREREpEzc2r8JKZm5fD5/q/eN2l3inF84/TlnmvMp8GbKyiRjzCXGFLL4dlWVmwVJz0K9LtD6/EJ3GZ20nrx8y12DNHdcREREpDLr3LAWPRpH8870DeTkeTkFxT8A+twL2xc6U5xPgTeB/D7gCyDbGJNijEk1xqSc0rtWdIs+hENbYNDfCr0I0O6UTD6dt4VLutSnYUyYCwWKiIiISFkaOaAJOw5l8v3SHd436nQ11KjrjJKfAm+WPYyw1vpZawOttZGe51V3fb/sDJj2X2jUx1nWphBvTHVGx0edrtFxERERkapgYIvatKhTgzenbsB6OwUlMAROG+WMkG+dX+r39mqVFWPMBcaY5zy380r9bpXB/LcgbTcMerzQ0fHklEw+nbuFiztrdFxERESkqvDzM9zavyl/7Epl6po93jfseoOzRPaMF0r/3sXtYIx5BrgHWOm53eN5rerJTHEWeW92JjTqXeguo6euJzffMmpQs3IuTkRERER86YKO9agTGcxb0zd43yi4BvS8HVb/CLtXlOp9vRkhPwc4y1r7rrX2XWCo57WqZ87rcPiAM3e8EAVHxxvFaGUVERERkaokKMCPG/o0Zua6fazYccj7hj1ugaAaML10o+TeXhioZoHHJ14hpyrI2A+zXnNWVanXudBd3pi6QaPjIiIiIlXYlT0aEh7kz9vTN3rfKCwaut8EK76GfetL/J7eBPJ/Ab8bY943xnwALPS8VrXMfAmy0+D0xwrdnJySySdzN3ORRsdFREREqqyo0ECu6N6Q75bsYOehw9437HUH+AXCrFdL/J7FXqkTyAd6AV97br2ttWNL/E4VWeoumDsG2l8GtVsXusvR0fHTNTouIiIiUpXd0CcRC7w/c5P3jSLqQqerYPEnTrYsAW+u1DnKWrvTWjvBWvuttbZk71AZTH8B8rJh4COFbi44Op6oq3KKiIiIVGkNosM4u11dPp27hdTMHO8bnnYX5OfCnNElej9vpqxMNsY8YIxpYIyJPnIr0btUZAe3wsL3oPM1ENO00F3enKbRcREREZHq5Nb+TUjNyuXz+Vu9bxTTFNpcCPPfgcMHvW7mTSC/EbgTmIYzf3whsMD7yiq4qc869wMeKnRzcmomH8/R6LiIiIhIddIhoSY9Gkfz3sxN5OTle9+w772QnQoL3vG6iTdzyB+x1jY+7tbE+6oqLr/8HFj8KXS7CaISCt3nTc0dFxEREamWbu3XhO0HD/Pjsp3eN4rv6FzTZs5oyPHupFBv5pDf6X0FlUtQ9n4ICIZ+9xW6/cjo+IWdNDouIiIiUt0MalWbJnHhvDV9A9Za7xv2/Quk73FO8PRCtZ5DHpiTBj1HQo3ahW4f4xkdv0vrjouIiIhUO35+hpv7NmH59hTmbNjvfcNGfSChO8x8BfJyi38fLw5ZZeeQW+MHfe4udFtyaiYfz9XouIiIiEh1dnGX+sSEB/HW9A3eNzLGGSU/uBlWfFPs7sUG8kLmj1eZOeTZQTUhtFah28ZM3UB2br6uyikiIiJSjYUE+jOidyOm/JHMuuRU7xu2OBviWsGMF6GY6S4nDeTGmIcKPL7suG1V4kqdOYFRhb6+JzXLGR3vXJ/GGh0XERERqdZG9GpEcIAfb0/f6H0jPz/ocy8kr4C1k4vetYhtwws8fvS4bUO9r6bisqbwjz9m2nqyc/O5a1Dzcq5IRERERCqamBrBXNo1ga9/386e1CzvG7a/FCITYMYLRe5WVCA3J3lc2PMqY09qFh/N0ei4iIiIiPzppr6NycnL56PZm7xv5B/oXL1zy+widysqkNuTPC7seZWh0XEREREROV6TuBqc2boOH83ZzOHsPO8bdrkWwmKK3KWoQN7RGJNijEkFOngeH3ne3vsqKo+9aZ7R8U4aHRcRERGRY93avwkHMnL4ctE27xsFhTnLbBfhpIHcWutvrY201kZYawM8j488D/S+ispjzDStrCIiIiIihevWqBYdG9TknekbyMsvwYSR7jcXudmbdcirhX1pWXw0ezMXdKxHk7gabpcjIiIiIhWMMYZb+zVh074Mflm12/uGYUVfU1OB3OOt6RvJzM1jlOaOi4iIiMhJDGlbh4Raobw1rQQXCiqGAjmwPz2bD2dv4vwO9WhWW6PjIiIiIlK4AH8/burbmAWbD7Boy4EyOaYCOfD29A0czsnjLs0dFxEREZFiXN6tAZEhAbw9vWxGyat9ID+Qns0HszZxTvt4mteJcLscEREREangwoMDuLpXIyYu38XmfemnfLxqH8jfnbmR9Ow87tbccRERERHx0vWnJeLvZ3h3xsZTPla1DuT5Ft6fuYlz2telZV2NjouIiIiId+pEhjCsU33GLdjGgfTsUzpWtQ7kKdmW1Kxc7j5Do+MiIiIiUjK39GvC4Zw8Pp6z+ZSOU70DeZZlaNu6tKob6XYpIiIiIlLJtKwbwcCWcXwwexOZOXmlPk61DuT5wF1naGUVERERESmdW/s1YW9aNt/8vr3Ux6jWgTwswNC2XpTbZYiIiIhIJdW7aQzt6kfy1vQN5OfbUh2jWgfymsHG7RJEREREpBIzxnBr/6Zs2JPOr38kl+oY1TqQB/m7XYGIiIiIVHbntKtL/ZqhvDWtdBcKqtaBXERERETkVAX4+3FT38bM27Sf37ccKHF7BXIRERERkVN0RfcGRIYEMKYUo+QK5CIiIiIipyg8OIBrejVi4opdbN6XXqK2CuQiIiIiImXg+tMSCfTz4+3pG0vUToFcRERERKQM1I4M4cLO9fhi4Vb2p2d73U6BXERERESkjNzSrwmZOfl8NHuz120UyEVEREREykjzOhEMalWbD2dvIjMnz6s2CuQiIiIiImXoln5N2JeezVeLtnm1vwK5iIiIiEgZ6tUkmg4JUbw9fSP5+bbY/RXIRURERETKkDGGW/o1YePedCav2l3s/grkIiIiIiJl7Ox2dUmoFcpbXlwoSIFcRERERKSMBfj7cVPfxizYfICFmw8Uua8CuYiIiIiID1zerQFRoYHFjpIrkIuIiIiI+EB4cADX9GrIzyt3FbmfArmIiIiIiI9cd1oigX5FR24FchERERERH6kdEcJFnesXuY8CuYiIiIiID93Sv3GR2xXIRURERER8qFntiCK3K5CLiIiIiLjIp4HcGDPUGLPaGLPOGPNIIduNMeYVz/alxpguxbU1xlxmjFlhjMk3xnQ77niPevZfbYwZ4svPJiIiIiJSFnwWyI0x/sD/gLOBNsCVxpg2x+12NtDcc7sVGO1F2+XAxcC0496vDTAcaAsMBV73HEdEREREpMLy5Qh5D2CdtXaDtTYbGAsMO26fYcCH1jEHqGmMiS+qrbV2lbV2dSHvNwwYa63NstZuBNZ5jiMiIiIiUmEF+PDY9YGtBZ5vA3p6sU99L9sW9n5zCjnWMYwxt+KMxhMXF0dSUlIxh5WTSUtLU/+Vkvqu9NR3p0b9V3rqu9JT350a9V/pVZa+82UgN4W8Zr3cx5u2pXk/rLVjgDEALVu2tAMHDizmsHIySUlJqP9KR31Xeuq7U6P+Kz31Xemp706N+q/0Kkvf+TKQbwMaFHieAOzwcp8gL9qW5v1ERERERCoUX84hnw80N8Y0NsYE4ZxwOeG4fSYA13pWW+kFHLLW7vSy7fEmAMONMcHGmMY4J4rOK8sPJCIiIiJS1nw2Qm6tzTXGjAJ+BvyBd621K4wxIz3b3wB+BM7BOQEzA7ihqLYAxpiLgFeBOOAHY8xia+0Qz7HHASuBXOBOa22erz6fiIiIiEhZ8OWUFay1P+KE7oKvvVHgsQXu9Lat5/VvgG9O0uZp4OlTKFlEREREpFzpSp0iIiIiIi5SIBcRERERcZECuYiIiIiIixTIRURERERcpEAuIiIiIuIiBXIRERERERcpkIuIiIiIuEiBXERERETERQrkIiIiIiIuUiAXEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiIgVyEREREREXKZCLiIiIiLhIgVxERERExEUK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iIiIi4iIFchERERERFymQi4iIiIi4SIFcRERERMRFCuQiIiIiIi5SIBcRERERcZECuYiIiIiIixTIRURERERcpEAuIiIiIuIiBXIRERERERcpkIuIiIiIuEiBXERERETERQrkIiIiIiIuUiAXEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiIgVyEREREREXKZCLiIiIiLhIgVxERERExEUK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iIiIi4iIFchERERERFymQi4iIiIi4SIFcRERERMRFCuQiIiIiIi5SIBcRERERcZECuYiIiIiIixTIRURERERcpEAuIiIiIuIiBXIRERERERcpkIuIiIiIuEiBXERERETERQrkIiIiIiIuUiAXEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiIgVyEREREREXKZCLiIiIiLhIgVxERERExEUK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iIiIi4iIFchERERERF/k0kBtjhhpjVhtj1hljHilkuzHGvOLZvtQY06W4tsaYaGPMZGPMWs99Lc/ricaYw8aYxZ7bG778bCIiIiIiZcFngdwY4w/8DzgbaANcaYxpc9xuZwPNPbdbgdFetH0E+NVa2xz41fP8iPXW2k6e20jffDIRERERkbLjyxHyHsA6a+0Ga202MBYYdtw+w4APrWMOUNMYE19M22HAB57HHwAX+vAziIiIiIj4lC8DeX1ga4Hn2zyvebNPUW3rWGt3AnjuaxfYr7Ex5ndjzFRjTL9T/wgiIiIiIr4V4MNjm0Jes17u403b4+0EGlpr9xljugLjjTFtrbUpx7yhMbfiTI8hLi6OpKSkYg4rJ5OWlqb+KyX1Xemp706N+q/01Help747Neq/0qssfefLQL4NaFDgeQKww8t9gopou9sYE2+t3emZ3pIMYK3NArI8jxcaY9YDLYAFBd/QWjsGGAPQsmVLO3DgwNJ+vmovKSkJ9V/pqO9KT313atR/pae+Kz313alR/5VeZek7X05ZmQ80N8Y0NsYEAcOBCcftMwG41rPaSi/gkGcaSlFtJwDXeR5fB3wLYIyJ85wMijGmCc6Joht89/FERERERE6dz0bIrbW5xphRwM+AP/CutXaFMWakZ/sbwI/AOcA6IAO4oai2nkM/A4wzxtwEbAEu87zeH/iHMSYXyANGWmv3++rziYiIiIiUBV9OWcFa+yNO6C742hsFHlvgTm/bel7fB5xRyOtfAV+dYskiIiIiIuVKV+oUEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiIgVyEREREREXKZCLiIiIiLhIgVxERERExEUK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iIiIi4iIFchERERERFymQi4iIiIi4SIFcRERERMRFCuQiIiIiIi5SIBcRERERcZECuYiIiIiIixTIRURERERcpEAuIiIiIuIiBXIRERERERcpkIuIiIiIuEiBXERERETERQrkIiIiIiIuUiAXEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiIgVyEREREREXKZCLiIiIiLhIgVxERERExEUK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iIiIi4iIFchERERERFymQi4iIiIi4SIFcRERERMRFCuQiIiIiIi5SIBcRERERcZECuYiIiIiIixTIRURERERcpEAuIiIiIuIiBXIRERERERcpkIuIiIiIuEiBXERERETERQrkIiIiIiIuUiAXEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiIgVyEREREREXKZCLiIiIiLhIgVxERERExEUK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iIiIi4iIFchERERERFymQi4iIiIi4SIFcRERERMRFCuQiIiIiIi5SIBcRERERcZECuYiIiIiIixTIRURERERcpEAuIiIiIuIiBXIRERERERcpkIuIiIiIuEiBXERERETERT4N5MaYocaY1caYdcaYRwrZbowxr3i2LzXGdCmurTEm2hgz2Riz1nNfq8C2Rz37rzbGDPHlZxMRERERKQs+C+TGGH/gf8DZQBvgSmNMm+N2Oxto7rndCoz2ou0jwK/W2ubAr57neLYPB9oCQ4HXPccREREREamwfDlC3gNYZ63dYK3NBsYCw47bZxjwoXXMAWoaY+KLaTsM+MDz+APgwgKvj7XWZllrNwLrPMcREREREamwfBnI6wNbCzzf5nnNm32KalvHWrsTwHNfuwTvJyIiIiJSoQT48NimkNesl/t407Y074cx5lac6TEAWcaY5cUcV04uFtjrdhGVlPqu9NR3p0b9V3rqu9JT350a9V/pVaS+a3SyDb4M5NuABgWeJwA7vNwnqIi2u40x8dbanZ7pLckleD+stWOAMQDGmAXW2m4l+VDyJ/Vf6anvSk99d2rUf6Wnvis99d2pUf+VXmXpO19OWZkPNDfGNDbGBOGccDnhuH0mANd6VlvpBRzyTEMpqu0E4DrP4+uAbwu8PtwYE2yMaYxzoug8X304EREREZGy4LMRcmttrjFmFPAz4A+8a61dYYwZ6dn+BvAjcA7OCZgZwA1FtfUc+hlgnDHmJmALcJmnzQpjzDhgJZAL3GmtzfPV5xMRERERKQu+nLKCtfZHnNBd8LU3Cjy2wJ3etvW8vg844yRtngaeLkGJY0qwr5xI/Vd66rvSU9+dGvVf6anvSk99d2rUf6VXKfrOOJlYRERERETc4NMrdYqIiIiISNGqbSA3xgw1xqw2xqwzxjzidj0VnTFmkzFmmTFmsTFmgee1aGPMZGPMWs99LbfrrCiMMe8aY5ILLqtZVH8ZYx71fBdXG2OGuFN1xXCSvnvSGLPd8/1bbIw5p8A29Z2HMaaBMeY3Y8wqY8wKY8w9ntf13StGEX2n754XjDEhxph5xpglnv77u+d1ffeKUUTf6bvnJWOMvzHmd2PM957nle57Vy2nrBhj/IE1wFk4yyXOB6601q50tbAKzBizCehmrd1b4LX/APuttc94fqipZa192K0aKxJjTH8gDedKtO08rxXaX8aYNsBnOFeWrQf8ArSoricln6TvngTSrLXPHbev+q4A4ywFG2+tXWSMiQAW4lzN+Hr03StSEX13OfruFcsYY4Bwa22aMSYQmAHcA1yMvntFKqLvhqLvnleMMfcB3YBIa+15lfH/2+o6Qt4DWGet3WCtzQbGAsNcrqkyGgZ84Hn8Ac5/XgJYa6cB+497+WT9NQwYa63NstZuxFl1qEd51FkRnaTvTkZ9V4C1dqe1dpHncSqwCueKxfruFaOIvjsZ9V0B1pHmeRrouVn03StWEX13Muq7AowxCcC5wNsFXq5037vqGsjrA1sLPN9G0f/wivOPwyRjzELjXO0UoI5n3Xg897Vdq65yOFl/6fvonVHGmKWeKS1Hfv2ovjsJY0wi0BmYi757JXJc34G+e17xTBtYjHPBvsnWWn33vHSSvgN997zxEvAQkF/gtUr3vauugdwU8lr1m7tTMn2stV2As4E7PdMKpGzo+1i80UBToBOwE3je87r6rhDGmBrAV8C91tqUonYt5LVq3X+F9J2+e16y1uZZazvhXCm7hzGmXRG7q/8KOEnf6btXDGPMeUCytXaht00Kea1C9F11DeTbgAYFnicAO1yqpVKw1u7w3CcD3+D8ime3Z97lkfmXye5VWCmcrL/0fSyGtXa35z+sfOAt/vwVo/ruOJ45qF8Bn1hrv/a8rO+eFwrrO333Ss5aexBIwpkDre9eCRTsO333vNIHuMBznttYYJAx5mMq4feuugby+UBzY0xjY0wQMByY4HJNFZYxJtxzkhPGmHBgMLAcp8+u8+x2HfCtOxVWGifrrwnAcGNMsDGmMdAcmOdCfRXWkX9YPS7C+f6B+u4YnpPD3gFWWWtfKLBJ371inKzv9N3zjjEmzhhT0/M4FDgT+AN994p1sr7Td6941tpHrbUJ1tpEnCw3xVp7DZXwe+fTK3VWVNbaXGPMKOBnwB9411q7wuWyKrI6wDfO/1cEAJ9aaycaY+YD44wxNwFbgMtcrLFCMcZ8BgwEYo0x24AngGcopL+stSuMMeOAlUAucGdFOOPbLSfpu4HGmE44v1rcBNwG6rtC9AFGAMs881EB/oq+e944Wd9dqe+eV+KBDzyrmPkB46y13xtjZqPvXnFO1ncf6btXapXu37xqueyhiIiIiEhFUV2nrIiIiIiIVAgK5CIiIiIiLlIgFxERERFxkQK5iIiIiIiLFMhFRERERFykQC4iUskYY/KMMYuNMcuNMV8YY8KK2PcCY8wjxRwv0RhzVdlXWjRjzCZjTGx5v6+ISEWjQC4iUvkcttZ2sta2A7KBkSfb0Vo7wVr7TDHHSwTKPZCfCmNMtbyOhohUTQrkIiKV23SgmTEm2hgz3hiz1BgzxxjTAcAYc70x5jXP4/eNMa8YY2YZYzYYYy71HOMZoJ9n1P0vBQ9ujBlojEkyxnxpjPnDGPOJ56qWx4xwG2O6GWOSPI+fNMZ8YIyZ5NnnYmPMf4wxy4wxEz2XqD/iQWPMPM+tmad9nDHmK2PMfM+tT4HjjjHGTAI+9FWHioiUNwVyEZFKyjNKfDawDPg78Lu1tgPOFSZPFljjgb7AeThBHOARYLpn1P3FQtp0Bu4F2gBNcK5qWZymwLnAMOBj4DdrbXvgsOf1I1KstT2A14CXPK+9DLxore0OXAK8XWD/rsAwa22lGtEXESmKfuUnIlL5hBa4vPt04B1gLk54xVo7xRgTY4yJKqTteGttPrDSGFPHy/ebZ63dBuB530RgRjFtfrLW5hhjlgH+wETP68s87Y/4rMD9kR8GzgTaeAbiASKNMRGexxOstYe9rFtEpFJQIBcRqXwOW2s7FXzBFEivBdhCXssq2MzL9yvYJo8//+/I5c/ftIYU1sZam2+MybHWHqkln2P/77GFPPYDeh8fvD0fMd3LmkVEKg1NWRERqRqmAVeDM+8b2GutTfGybSoQUexeJ9qEM4UEPKPzpXBFgfvZnseTgFFHdjDGdCrlsUVEKgUFchGRquFJoJsxZinO3PDrStB2KZBrjFly/Emdxfg78LIxZjrOyHlpBBtj5gL3AEfe+248n8UYs5IiVpEREakKzJ+/RRQRERERkfKmEXIRERERERcpkIuIiIiIuEiBXERERETERQrkIiIiIiIuUiAXEREREXGRArmIiIiIiIsUyEVEREREXKRALiIiIiLiov8HiuWCLJKRaWMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "error1 = df.loc[df['error'] == 1].index.to_numpy()\n",
    "error2 = df.loc[df['error'] == 2].index.to_numpy()\n",
    "\n",
    "plt.figure(figsize=(12,8))\n",
    "sn.kdeplot(error1, label=player_name[0])\n",
    "sn.kdeplot(error2, label=player_name[1])\n",
    "plt.ylabel('Error pdf')\n",
    "plt.xlabel('Point number')\n",
    "plt.xlim([0,df.shape[0]])\n",
    "plt.title('Distribution of errors through match')\n",
    "plt.grid('minor')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Đoković had a weaker start of the match when it comes to errors, but somewhere near to half of the match, Đoković's errors drops and Federer's errors arise and maintain greater than Đokovićs as the match goes on."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Service was most definitely on the Federer's side and I couldn't say if Federer's tactic was much more offensive or Đoković's defense was solid because Federer had to put a lot of effort to take a point. In the majority of plots that are referred to types of strokes and service, difference in playing style is noticeable and both players have shown some of their strong and weak sides. Going through the charts and plots, I personally had an impression that Federer was the one leading (and eventually winning the match).  \n",
    "\n",
    "After two weeks of exploring the data and extracting features, I could say that I have barely scratched below the surface of interesting and useful features this dataset can result with. Some of them can be players tactics by games and by sets, and how types of strokes and services differ from each other in the beginning and in the end of the match, how players tiredness affect on points, etc."
   ]
  }
 ],
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