notebooks/Lesson4.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install git+https://github.com/seidlr/LaurieOnTracking.git"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lesson 4\n",
    "Created on Sun Apr  5 13:19:08 2020  \n",
    "Script for lesson 4 of \"Friends of Tracking\" #FoT  \n",
    "Data can be found at: https://github.com/metrica-sports/sample-data  \n",
    "@author: Laurie Shaw (@EightyFivePoint)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import friendsoftracking.metrica.IO as mio\n",
    "import friendsoftracking.metrica.Viz as mviz\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = [10, 8]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Team</th>\n",
       "      <th>Type</th>\n",
       "      <th>Subtype</th>\n",
       "      <th>Period</th>\n",
       "      <th>Start Frame</th>\n",
       "      <th>Start Time [s]</th>\n",
       "      <th>End Frame</th>\n",
       "      <th>End Time [s]</th>\n",
       "      <th>From</th>\n",
       "      <th>To</th>\n",
       "      <th>Start X</th>\n",
       "      <th>Start Y</th>\n",
       "      <th>End X</th>\n",
       "      <th>End Y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Away</td>\n",
       "      <td>SET PIECE</td>\n",
       "      <td>KICK OFF</td>\n",
       "      <td>1</td>\n",
       "      <td>51</td>\n",
       "      <td>2.04</td>\n",
       "      <td>51</td>\n",
       "      <td>2.04</td>\n",
       "      <td>Player23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Away</td>\n",
       "      <td>PASS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>51</td>\n",
       "      <td>2.04</td>\n",
       "      <td>87</td>\n",
       "      <td>3.48</td>\n",
       "      <td>Player23</td>\n",
       "      <td>Player20</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Away</td>\n",
       "      <td>PASS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>146</td>\n",
       "      <td>5.84</td>\n",
       "      <td>186</td>\n",
       "      <td>7.44</td>\n",
       "      <td>Player20</td>\n",
       "      <td>Player18</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.44</td>\n",
       "      <td>0.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Away</td>\n",
       "      <td>PASS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>248</td>\n",
       "      <td>9.92</td>\n",
       "      <td>283</td>\n",
       "      <td>11.32</td>\n",
       "      <td>Player18</td>\n",
       "      <td>Player17</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Away</td>\n",
       "      <td>PASS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>316</td>\n",
       "      <td>12.64</td>\n",
       "      <td>346</td>\n",
       "      <td>13.84</td>\n",
       "      <td>Player17</td>\n",
       "      <td>Player16</td>\n",
       "      <td>0.29</td>\n",
       "      <td>0.32</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.58</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Team       Type   Subtype  Period  Start Frame  Start Time [s]  End Frame  \\\n",
       "0  Away  SET PIECE  KICK OFF       1           51            2.04         51   \n",
       "1  Away       PASS       NaN       1           51            2.04         87   \n",
       "2  Away       PASS       NaN       1          146            5.84        186   \n",
       "3  Away       PASS       NaN       1          248            9.92        283   \n",
       "4  Away       PASS       NaN       1          316           12.64        346   \n",
       "\n",
       "   End Time [s]      From        To  Start X  Start Y  End X  End Y  \n",
       "0          2.04  Player23       NaN      NaN      NaN    NaN    NaN  \n",
       "1          3.48  Player23  Player20     0.50     0.50   0.40   0.51  \n",
       "2          7.44  Player20  Player18     0.43     0.50   0.44   0.22  \n",
       "3         11.32  Player18  Player17     0.47     0.19   0.31   0.28  \n",
       "4         13.84  Player17  Player16     0.29     0.32   0.26   0.58  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "game_id = 2 # let's look at sample match 2\n",
    "\n",
    "# read in the event data\n",
    "events = mio.read_event_data(game_id)\n",
    "events.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PASS              964\n",
       "CHALLENGE         311\n",
       "RECOVERY          248\n",
       "BALL LOST         233\n",
       "SET PIECE          80\n",
       "BALL OUT           49\n",
       "SHOT               24\n",
       "FAULT RECEIVED     20\n",
       "CARD                6\n",
       "Name: Type, dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# count the number of each event type in the data\n",
    "events['Type'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ON TARGET-SAVED        4\n",
      "HEAD-OFF TARGET-OUT    4\n",
      "ON TARGET-GOAL         2\n",
      "OFF TARGET-OUT         2\n",
      "HEAD-ON TARGET-GOAL    1\n",
      "Name: Subtype, dtype: int64\n",
      "\n",
      "OFF TARGET-OUT         3\n",
      "ON TARGET-GOAL         2\n",
      "ON TARGET-SAVED        2\n",
      "BLOCKED                2\n",
      "OFF TARGET-HEAD-OUT    1\n",
      "HEAD-OFF TARGET-OUT    1\n",
      "Name: Subtype, dtype: int64\n",
      "\n",
      "Player9     4\n",
      "Player10    3\n",
      "Player5     2\n",
      "Player4     1\n",
      "Player7     1\n",
      "Player12    1\n",
      "Player3     1\n",
      "Name: From, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Bit of housekeeping: unit conversion from metric data units to meters\n",
    "events = mio.to_metric_coordinates(events)\n",
    "\n",
    "# Get events by team\n",
    "home_events = events[events['Team']=='Home']\n",
    "away_events = events[events['Team']=='Away']\n",
    "\n",
    "# Frequency of each event type by team\n",
    "home_events['Type'].value_counts()\n",
    "away_events['Type'].value_counts()\n",
    "\n",
    "# Get all shots\n",
    "shots = events[events['Type']=='SHOT']\n",
    "home_shots = home_events[home_events.Type=='SHOT']\n",
    "away_shots = away_events[away_events.Type=='SHOT']\n",
    "\n",
    "# Look at frequency of each shot Subtype\n",
    "print(home_shots['Subtype'].value_counts())\n",
    "print()\n",
    "print(away_shots['Subtype'].value_counts())\n",
    "print()\n",
    "# Look at the number of shots taken by each home player\n",
    "print( home_shots['From'].value_counts() )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-47.7, -3.400000000000003, '')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get the shots that led to a goal\n",
    "home_goals = home_shots[home_shots['Subtype'].str.contains('-GOAL')].copy()\n",
    "away_goals = away_shots[away_shots['Subtype'].str.contains('-GOAL')].copy()\n",
    "\n",
    "# Add a column event 'Minute' to the data frame\n",
    "home_goals['Minute'] = home_goals['Start Time [s]']/60.\n",
    "\n",
    "# Plot the first goal\n",
    "fig,ax = mviz.plot_pitch()\n",
    "ax.plot( events.loc[198]['Start X'], events.loc[198]['Start Y'], 'ro' )\n",
    "ax.annotate(\"\", xy=events.loc[198][['End X','End Y']], xytext=events.loc[198][['Start X','Start Y']], alpha=0.6, arrowprops=dict(arrowstyle=\"->\",color='r'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot passing move in run up to goal\n",
    "mviz.plot_events( events.loc[190:198], indicators = ['Marker','Arrow'], annotate=True );"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reading team: home\n",
      "Reading team: away\n",
      "Index(['Period', 'Time [s]', 'Home_11_x', 'Home_11_y', 'Home_1_x', 'Home_1_y',\n",
      "       'Home_2_x', 'Home_2_y', 'Home_3_x', 'Home_3_y', 'Home_4_x', 'Home_4_y',\n",
      "       'Home_5_x', 'Home_5_y', 'Home_6_x', 'Home_6_y', 'Home_7_x', 'Home_7_y',\n",
      "       'Home_8_x', 'Home_8_y', 'Home_9_x', 'Home_9_y', 'Home_10_x',\n",
      "       'Home_10_y', 'Home_12_x', 'Home_12_y', 'Home_13_x', 'Home_13_y',\n",
      "       'Home_14_x', 'Home_14_y', 'ball_x', 'ball_y'],\n",
      "      dtype='object')\n"
     ]
    },
    {
     "data": {
      "image/png": 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ChVcRERnUlNmc5UMamzW7WJZFc2sNdQ2lvaE1fe4FxEVljVhFtdlsJMcvwoxbAEDVyUKKy18lNCSWqIjkSVlv3z5YDPc0AssySPnErlm1mctv4fUvl9zlr1tLH5e/9h1/L0FEpiDLAueufEoe2uQ+gGDN1Ho86fkl3VaW4tUKqWFA9NIi7M+sxzQ1Nmu6GGumsCyL/VX7ebX0Ve4t+iOWafGDVd/n49kfJz8pf8yVU9M0+ZdX/4X79t/HBaFR3LRoy7iuMxbWJVD4SYNXXrHxox99gltyLueyy0yWLLFm/J9ZVV5FRKQfT8W1eOtGMO2Epjmn3C/D2OVFlD/RQe2eZVSfe5C567xXIbXZwLCblDy4mfAMJ5G56n2dKSzLorC6kI/qPuKfX/1nattq+d6q73FZzmUsSVwy7rBps9n42fqfgQH3v3c/f/rwT2z/9HaWJi/18k9wmmHA0qUWS5a4gE7uvTeQ++6Du+/uZN48i6NHDa65xpyR1Vi/hVdV/PxLlW8RGYxlQc2ufIrv30zkx44QnuUgLGvqhbfIPAeJl71FzQsX01ET69VrR+Q4yL7tGYrv3YKl42KnleGyhWmaVFTv5UTNfgAyU1cRZ9h4uaWOVw4+CQefnPD9TYJJSTqXEyff44t//w3RkXMnfM3RsJZB4p0ptFUkcMc3NmJ2BuFqCeG7r+4gZlkRHY4E4lcXDhpkTRNO7sknftXgXx8LX2ULVV5FRARwB9cTO/Mp/u8bwBVA/RsrqH9jOa2lKcStPNhbhZwKVVjDgIj5pdS8YBEUX+f1awO4WkNoq0wgat7UC+8yOp6eVsuyqG8so+zEm+6e1ugsIsK8PxnAZrMRFhqLy9WBs/YwkeFJkzZCq6++vbChaU5MExr2z+fE9tU4nl2PqyWE1qpYQpPqCElx0laZgGVBW3UsLYdyaXjf3bebuGZ69HgrvIqIyOng+ssb8PxqCE6voKM8lbo9K6jbswx7aCcpW/5K+papsTGkwxkLGD1vvSskxYk9pJOQFKfXry2Tq29gbe+op6RiNxYusAwyUi4kLemcSQ2U8bHzaWiupOpkIUGB4aTPPXdSe1/78oRYgKg8B7HLi3qDrOO5tXQ3hWMP6cTVFoR70Jx7XdHLDhG/anoEV1B4FRERoPlYCsW/cQdXI7KepA27yby2gNo38mmrjqXjVBTOF9dQ/ugGuuqiyLl9m98D7GTMevVodyTgag+i3ZFA9HxVXqc6Ty9rY3NVv8BqYCMrbTWhwbEYhjEp1daBbDYbyXPO5mTthzic7xEbnUVkeNKk3nMwA4NszLIi2ioSzqi8mg1RZN3m/3+fx0LhVURklrMsOPXufOi2A5C6aTdZnykAIGmtuxpjmhC7uJT6Q5lUbV8N4PcAG5RQB1g9b70rJNWJPbwdy9LEgamqb4X1qQ+f4t8K/g1ne71fAutAEeGJ5KRfQnFFAa1ttX5ZQ1+G4Q6wUT0Hb0z3v5ApvIqIzGKekViVT30cMAhdfIj0LQVnvM5mg8SLCwlJdXJq53lTIsB2nnS3DbjfepcmDkw9fcOqJwgeProNExf/VlHA3Wvv5pdHX/ZbYO3LMAzCQuMAKKl8nbDQOL9UX2cqhVcRkVmsuTiFY/dvBpc7gUakO7Hbh359ZK6Ds+++h6pXzqFqh38DrHujlvc3bAGEZztI2biTyufXYVlev7yMgSe0trXX9bYD2Aw7C3M3sjBvI5Zlce95X2FJ4hK2Vh3w93J7RYQlkp16MSWVBZimxlZ4k8KriMgsZFnu4NpanoBh7yZ65RHq31xBYFzjsN9nGO4xVeE52zAM/BpgJ7Py2lKSQuXz6zAMtQz4gyewehw+ug0La8h2gPykfH8tdUiGYWAYBi5XB+0d9T4bmzUbKLyKiMxCzcUpHPz+P2DYXeTc9jzNFbHUv7li1JufbDZ3YAV3gA2KayR9i2+Pjw3u6XkNnoSeV8sEXDayv/iU+yhOmVSWZdHS5iQsJJ6WNmdvldUw6K2wAn5vBxirsJA4AuwhGBj92h1kYhReRURmGcuC1ooEsHWTfcs2ElYX0vLE2jFfxxNgg+Iacfx5DSGJdT49RtZzn8m4X1tlAq7WkEm7vrj1bQkodbxJZuqFHC/f3VtlDQuJm3aBta+I8ESy0i6muKKAkJAYoiKS/b2kGUHhVURkFvFs0Dr+0CZybn1+wmHTZnMf1ep4fp27dxZ8GmAni+a8Tp7B5rCCRXb6GuJj5hMa7G4Dmc6h1cMwDAwMul1ttLXXKbx6icKriMgs4tmgZRgQmubsDZmeTVrNh3JxuQqG3bQ1UESOg5zbn+HY/Zs5dv9mQtOm9+58y4L6/fNxdQTRfkJzXieib+9qeGhCv5aAvnNY+1ZYZ9qu/JCgGOy2QEKCYvy9lBlD4VVEZBbx7JzPvv2Zfr2cqdcUUFuYS8P+RZQ9uZbs6wpGfU3DcFdbAYq3bqT23fmEZzum1dDzvpqLUzixfQ0ZN+4gYfX0OXXIn/pWU/vyVFYNA7LSVvdrCfDnHFZf6uhqwGV20dBcTlRk8oz+WX1F4VVEZJYwTajbNx9bQDdhfaqu4K68xi45RvOBRbSVpmCajCl8egJse00sZY9twDDw+QYub7FMoCuQmKVF0zaAT5aRQqqFq9/n+1ZWw0MTZlRLwGjFx86ntb0eR827xERlqHXACxReRURmAcuCiqfXUv77DWTcuGPQHfSxy4sof6KD2j3LqD73IHPXja3qaBiQdk0BACdevBBwfzydAqBlQd178+luDaHNkUDUvNnbMjBYUB0ppHrCae/nB1RWZ1pLwGjYbDZCgqLodrXT2lar8OoFCq8iIrNAc3EKjj+7H4WnXTN4RTQyz0HS5W9RveNi6t5eTNLFhWMOnjYbvSd0lT22AZheFdjmYyk4nls3K1sGBobVwYLqaEOq9Gf0DKEzRj2MToaj8CoiMsNZFrSWJ4BpJ2bZ0I/CDQOS1u+l+uXzqd2zjJrzDpK8duwBrm8F1vHnNcQuL5oWG7hME6peOQdXSxjBiXXTqmI8XoPt/PeE1cGCqkLq2HnmuwbYQ3qPjJWJUXgVEZnhmotTKH5g86hOi4rMc5D2mZepeOxqmg5nkrhm7NVXOD1C68T21bRWJBCR45jy1deTu/Op3rGa5Kt3z9iq63DV1YFhVUHVO5paqimuKCAr7WIiwhP9vZwZQeFVRGSGG2rCwGAMA8KS3SdWVb+whqA5jWR8enyP/SNyHGTfso2ShzZhMLXnv5omtFbFEhDVQuL6vTOm6jpSK0DfwKqwOjna2uvodrVhYOifrZcovIqIzGDDTRgYSvzqQhoOZ1K9Yw2Vf7qMmGVFRI9j45JnlqzlslO8dSMYkLB6agbYk7vzqfj9BjI+t2NatDgMZyytAAqsky8sJI7AgFDCQtQy4C0KryIiM9jJ3fmUP+YOZSNVXT1sNsi9YxtdDRHU7llB6SNXsvgHW8d0cIFHRI6DxT+8j9byBEq2biI01XsHGBgGMIpWiJH0Vl0jW4hZVjQlw/Vw1AowtUWEJ7J43mbCQxP8vZQZQ+FVRGQGC05xYg9vJ3rp2EKZzQZpmwuo/dvHaNy/iGP3b2TeF7eNOdgZBn3CquXV/lf3Ea4dEzrC1TSh+IGNVL2wmowbp1fV1RNaW9tqKal8vffzagWYWjz/G4j3KLyKiMxQpgn1783HFtQ5rh7OyDwH6Tf8hfJHr8b56vkkXbp3XO0D0L//NcxLx8e2VSbgaguirXJ8R7j2Btcdq0nesHvIEWJTxVAVVtPqBiAnbS2hIQqsMvMpvIqIzFDjaRnoy3NKVuvxFE7tXkHZo1ey6Pvjax/w9L+C5R7bBV6qwA5+gfp6+OBzd0OQyZLffoeoqP5f9xzaULXdPV0g5/ZtU3KT1mj7VxVYZTZReBURmaGC5zqxh3QSnT/+Pk6bDeZ/43E+aAyl4b3xtw9AT/X11m2UbN2E5bKz+If3Tcpj+vZ2+OBzPwECoBMO3HgXq7Z9p/frpukOrhXPrsMe0T4lpwt4Qmtbe536V0UGUHgVEZmh2h0JuNqDaHeM77G6h90OyZfupalw4YTaB4yeaQNYULx146TNf/3gG1/H/eutGwgg+KyS3q95Kq5lj2zAHt5O7peeGneAdrlclFb+nZrag+SfdSOhoaETXrtlWTS1VFPfWMYJ534AVVdFBlB4FRGZoUJS3Zu1QlLHv6HJI2FNIaf+vnjC0wcMw30tDDj+8IbeQDuePDbUtAFXaKP7naBm6IwhKLoNcFdcy59aS+XT67GFt5PzpafGPXvW5XJx8OhzNDaXAVB45GHOXXIHtnGWcPtWWovLC+h2tZE+90LiorMUWEUGUHgVEZmhjD7/maje6QNvuqcPlD25luzrCsa3rj4V2ImMzxpq2oCroafBtdudrgOimnG54MjPb6B2zzLAIOOm7SSOM7iapsmR4y/1BleAblcbJ+uLSIxbMOrrDNbPChZZaWuwGTbiY+ePOwyLzGQKryIiM1RbZQLdLSG0VSYQNc4pAX1F5jlIvOJv1LxwMW2lKZgm4+4V7beBa5ztA0NNG7BHN2JWATYXmFBXmMv+r36dtrI0COwg4/qXxz1ZwDRNiisKqK0vwmYEEBd1FicbDpIY+zHiY+aP6hrD9bOGhcSp0ioyAoVXEZEZyl2Z7JzQHNS+DMPd+1rzl/Op3bOMqpUHSbmkcNzX8874rDND3unKa7D7bU0abUBIRgXzv/ZHIvPG12drWRYVVe9Q5Swkac4SkuIXc6rO3U8bFBQxqiqpZVk4a49QXFGgaQEi46TnESIiM1TfDVveEpnnIPrcDwAbjYczJ3StgeOzmo6l0DPCdEKswE73OyEdns8QNr+Y/F/9kqh54w+uztojVNbsw24LIjn+bKIikgkJdgfl4KDIEb+/qaXaHVzLd2FZFtlpa0iMW0BURDKR4UkKriKjpMqriMgM5e3KK7gDZ3BsMwAdVQkTah2A8Y/PMk1oLnKH54H3t6p6wnqHncSrXidqYSmJawontM6mlmqOlb+GZUFexnoiwt0nJoWFxGG3BQ56bv1QPa3Z6WoPEJkIhVcRkRnKXXkNnvCorIGSLt1LzUsX0LR/AVUF+RNqHRjv+KyaXflU7VhN4lW7iF/d//5LH/kB79/+Az72wA+IiBj30nqZpknNqUO4XB1kzL2IhLizekNne0c9LrOL9o56opnb+z192wMA9bSKeJHCq4jIDGVZ7v/yxqP4viJzHUScfZTmA4toPJw5ofAK4xyfZQGWQdSC0jMqqhERcMEffjChNfXexrKoqN5L1clCkhPySUs+pzd4WpZFW2eD+33D6v3c6ZFXu7CwyElbS1ioQquItyi8iojMUGHpTgKiWmiviZ3w4/2+6o6k0HzAvbN+PLNeB+Ot8Vne5KmeOqrfI33uhaQnr+y3Kau5tYYqZ6G7Ght7Fk0t1b0TBNQeIDJ5FF5FRGaoyFwHKZ8soOzRqwlLriPx4olVSE0TqgryKb7nGiAAIurJvm2bdxbL6MdnDdfv6i2e4HqsfCcAcdFZZ0wTsEwLcBEVnkZlzbucqDl9IpZCq8jkUXgVEZmhDAOCEuoAi/pDmcSvHtumJZcLyp5cS92BXIzQNjqdsXSV5PR+PXXjbgK8/FtkNOOzql/Pp2r7ahKuPLPf1VuaW2t6+1Vz09cREZZ4xmta22vpdnXgcO6jtuEo6XMv0IlYIj6g8CoiMoMlrimk+UgmVdtXExLfSPqW0Q3nb2+H9277Lq6GmDO+FpRcTdzat8m4tsDr6x2p+mqaUPf2YsBGSHzjpFReTdOkrqEULIPc9LX9NmjB6b7W9p5+1/qmMjJSLiQt6RydiCXiAwqvIiIzmM0Giev34ixYScVT64ldVkRk3vC9pF1d8O7nfoTVHg5AQFI1wZkV2A0Iz3GQ9ZkCr/W6DsYzPmuwzVs1u/LdR7wGdhC7rMjr9/Zs0Co78SYZKRf2C679T8bahWl2YRgB5KStJSl+oaqtIj6i8CoiMsNF5jpI3fwqZY9uoOqVcwjP2TZsxfLQT27oDa6R57/L2d98fFLD6kADN29huacRWBY0f5gJGKRf9/KIIXys+m/QuoC0pP6TBfqejJUcn09F9TvYbAGEh81RcBXxIYVXEZEZzmwbiegAACAASURBVDAg7ZoCOmujqNqxGsOAnNuHCbAdoQDYIppY+C++Da4envYBy2WneOtGAOoPZVLzwmqM4A7ilheN66Ss4Xj6XC2s3g1ag46+Sl9DcFA0Duc+ctLWDtoPKyKTR+FVRGQWsNncgRWgavtqYOgAu/C7W3n7lm9hNszh2P0bWfhl700UGIuIHAeLf3gfreUJHL3nWsy2YADSP/NXIrw8RsuyLFrbarEs91zW8NCEYUdfNbVUYxgGoSGxqrqK+JjCq4jILNHb//rqeb0BNnH9XiJz+2+KCgqC2LOPU/fGHFoO5+JyeW+e61gYhrvlobksoTe4Jl61i7RrRrfpbCyaW2soqXwdgJDgGCqq9w4/+soCLNP9VkR8StsiRURmkchcB2fffQ9JG3ZTtX01B7/7JcqfWotp9n9d6uYCoJv2sjSO3rfR66d0jVZ3N1RtXwUYGMGdxCwq9Xpw9UwXsExISVhOQ1M5ZY43SU7IZ1HeJhLjFhAZntSvwtrWUUe3q4O2jjrvLkZERqTKq4jILGIYEJnnIDxnG8FzGql4aj1lj26gszaKhEv2YrO5H9dHz3OQtOENqndcjPPlC4laWEry2hGObPWy7m4o/NrXaStNI3x+MXM/sYeShzYROsT81/E4PV3gDebEzqfqZCGWZQ07+sqyLCwsAuyhhIbEemUdIjJ6Cq8iIrOQzQbpWwqIXVZE1SvnULV9Nc6ClRh2k5SNOwlKrCPr1m00f5ROS1EOx351PZ3OWNK3FEzaqVZ99Q2uoZkVfOwn99BWmsJIp2+NVVNLNZVVe4mNnkdT84lRnY7V3FpDaeUectLXEhmeNPFFiMiYKLyKiMxSfauw0QtLMU0ouW8LZY9eDYZF85FMEq7cQ0d9ON01SZQ/ejUtJSmc9c+TO4HA5YIDd/4jbaVpBKdXkP+rXxIQMPz81/Ho7u6mtPINXGYHTc3l5GSsIyH2rBE3YLkrryYhwTHarCXiBwqvIiKznM0GiRe756iGpztprUig4XAmVdvX9LzCAns3uOzU7lnBgYZQcr/wIpF53ql+9mWa8OHPbqC1KAewSL/2td4jaAfOfw1NHV/7gGf8VXnVOzQ0lxEZnk5O2moiwkd5rKs2a4n4lcKriIgApyuxkXkOEtYUErPIXY1tr4ml8smPY7ncvzJa3l/Egf9/PtEXFLLwXx/vDZfecGJnPnVvLAcgdtU+EtcUnrHG4Y6PHc7AE7Jcrk4M7GSlXERkxOgf//fdrBUVmTzq7xMR71B4FRGRM3iqsQCWBXHLi6jbN5/awlxa3l8EBNDwtxW8df185n6qwGtHxp7822LAwJZcwYJ/fnzQ/tqIHAfZt2yj5KFNhI1y85Zpmv3GX8VF5+KsLSI385IxB9CQ4Bjs9mBCgmPG9H0i4h0KryIiMizDgKh5DqLmOUjbUkDZk2s58fK5mM4kaI/kxB8+wYnn15K8sYDs6yYWYjub3Kd7BcY1DnmdsVRfPdXWuoZSyk68SfrcCwgJinIf82qD8NCxH+1qYGD0vBUR31N4FRGRUbPbIfu6AjI+XcDxP63lxBMfBzMEWiOpeuITdHbCoi8UjPv6AXboALoqUujqgsDAwV830uat/i0Cu7Ess3f8VXNrDYZhkJ168biOdlXbgIh/6ZACEREZM7sdcq8vYOWfvo0tvhrP7qXaZ66c0HWTLt0LgNkYw74v/SsNH6UMekCCJ7Bm3bSDkq2baC5OAdyhtamlGmftEQ4d3UZJxS6y0laxeN4nSU9eCUB9YxlYBmGhcWOuupqmSVtHAwH2EM14FRmKabJu14eccfqJlyi8iojIuAUHw/lbf0rU5x4Fusl74M4JXS95bSEpN/wZbN10VSfx/r98hY/u3Uh1Qf4ZvwcHtg+YpoWz9ggHjz7bG1oHnpDlrDtC2Yk3mZu4dFxV15N1RVRU/Y2UxBWa8SoyhHW7jvD9n7/Iul1HJuX6ahsQEZEJsdlgybWFcG3hyC8exbWyrysgbkURZY9eSeP+BdS8cDE1L1g0HM4kemEpYWlOInLdfa7h2ZUk3/7fFG9bRVPAW5wM34WFRU76GhLi+s9stSwLwzIIsAcTF5U1rhmtwUHR2O3BREema8aryGAsi8WHKrBZkFxVPym3UHgVEZEpxTAgZr6DqB9upfr1fJo+zOTkzvOoeWE1NS+swQjuIO3avxK77AhtsTs5EVkAn/4FVS3hpAduJC7LGPSErObWGkoqd5OdvpaI8LFXXUGbtURGYhw4wFWvHprUeyi8iojIlGSzwdx1hSSvLST543tpLU+g+UgmVTtWUf7XVMoP1mJc+RaG3U58x/Wc+vMNBG8sIWLRgTOmD1iWRWtbLabVTWhw7Lirpm3tPZu12rVZS2RQlkVXUAB/umwhf/j0uZNyC4VXERGZ0gwDovIcROZWErriL3R87B4a7K9htgdjPfcbrFMLcDbPIya/iJL/+zRhKSeJmtd/9qu76vp6z/XGXzW1ejamWTpeS2RwloUdg5cuWcRknSOt8CoiIlNa37FXxeUFdIe0kZ58IcFN52Jd3oXN+IAOZyVlj2wAbBQ/fCXJ6/cSnn66N9bqGVmQk7Z2XBu1PEKDY7HbAgkN1qQBkTNYFrZXXiG8tZN0Rx1H503O0wmFVxERmbIGnoyVlbYGm2EjPnY+tlQDFhzoeR0Extdxcuc5NLy3iKOFC7GFtZHzxafAZtKZ9/a4x2P11d5Rj8vsor2jnmjmeuVnFJkpjAMHCHzoIe698UJ2rj5r0u6j8CoiIlPOYCdjxUVnDboRC073xyauKeTY/Rs5ufM8MKDk/i24Mp+Da/5GUshlhIeOv+oKahsQGY61ZAkdTzzBH07+iSGPvfMChVcREZkyhjsZy2YbeTS53Q5zL9tL3Vv5JG/YTVBCHafK2qlvj6b6kW8TvKaWtGsKGMWlBqW2AZFhGAZWfj689uSk3sZv4fUvl9zlr1sDcPlr3/Hr/UVkZgm2BZISGkdK2BxSQ+eQEjaHJTFZvV//2oJP4mg9RWXbKRytp3C01dJhdvlvwVOQZbkPGSiuKMDARlbaasJC4oastg7Fc3RsydZNuFwGCXdej9EKGDbKHtlAx6koki/d29sPOxZqG5CpzK/ZyrIwCguxliyZ9Fup8ioiMkoh9iB3QO0Jp6mhc3oDa3xw1LDfe2XKOWd87mRHY2+QPR1q3R+3uzon68eYcvpvyBr6kIHR8hwdiwUf7eqiuuMl0tMuIOYrb+B8rZOqF1ZzctcKUj65k7jlRWMKsZ6NX9ZgZ9aKzGLGgQME33ADHY8/Pun38lt49Vfl098VXxGZPvIiU1iXtIQFUWnMDZ3DnODIIV/baXZT1VaLo622t8Ja1VbHj5feDMBvjmzrrcimhMYxNzSO+OAo4oOjWBKbfcb1TnU0caLtFB82VrCz+gBHmxxnvGYmGLghKzt9fNXWgQwDEtYU0mqPoqI9Gqvk40RddILI3G1ELiiloyaWskc3UPn0etK2vDqhVgKRqcYvGcuyePnxx92V150ztG1ARGQqmhsaxyVJ+axLWkJ6eEK/r3Wa3ZzoCaeeCmllz/vO9gbMYTbxbK98u9/HNgwSQqJJCZ1Dak+g9VR054bGMSc4kjnBkZwdk8WWjFWUtzh5rbqQndUHONFWOyk/uy+NdUPWeBgGxOUXceJDF44n1jFn7jtE5jpIurgQ03S/pvKZ9WNqJVDlVWQInn5XH1B4FZFZL8gWwGVzl3Np8jIWRqf3fr6us5nXq9/n7yc/pLz1JKc6GocNqGNhYlHdXk91ez3v1R3r9zUbBnOCo0gPi+e8+AWsTfoY6eEJ3JxzKTfnXMrhhnJeqXqPl0/so9Ps9sp6fGWiG7LGwjRN6pvKwAYG0FqRQESOO5zabJC+pYCYZUXUvHoOVTtWc7JgJblfeoqENYVDBtiOrqZ+b0UEsCzySpywzprUKQMeCq8iMmuF2YO5Ou08NqdfSGxQBACt3R286TzEzuoD7Ks7hmmZPl+XiYWzowFnRwP76o5x39EXWR6by7rkfC6KX8jC6HQWRqdzY/YlPFP2Btsr36bV1eHzdY6VtzZkjZaz7oi7qpt8ASGbSih9+OrefljDOH1yV0TONoLiGql8bh3H7t8MMGSADQ6M7PdWRCCvxMldd2/HWHnAJ9VXhVcRmXUiA0L5VPqFbEo7n4jAUACONFbwTPmb/M15eMpNATAtk721H7G39iP+2xbIBQkL2Zx+IWdFpXFr3uVcm7mGbRVv8Wz5mzR1t/l7uYOyLAtn3RGvbMgardCgWALsQcRGZRK5+gCGZVCydROhqU4ic0/3EHuqsCGJdRy7f/OIAVZE+juancB3vnU19/hg0gAovIrILGLD4KrUldyccylRgWEAFNaV8MTxAvYNeHQ/VXWYXRRUH6Cg+gDL4/K4PvNilsRm89nsdXwi7Tx+d+yvvOjY67X2Bm/wbMqqch7w2oaskViWRVtHHRYG9FRZQ9OcgNWvfcDDs8ELGDbAqm1AZICeloGj2Qk+aRkAhVcRmSUWR2fy/83fQF5kCgD764p5uPgVDjWU+Xll47ev9ij7ao+yODqTm3LWszQ2h68u2MRVqSv536IdHGwo9fcSsSyLiuq9lDneJCPlQhLjFkxqaPVobq2hpPJ1gN77ReQ4yL5lGyUPbSIsrX/11f26kQNsUEBEv7cis52nZeA737raZ/dUeBWRGS3YFsjteVfwibTzAKhur+f+j15gj/OQn1fmPQcbSrnzvYdYlbCYO+ZdSV5kCv+14na2VbzFg0f/4pc2iL4bs07UHOjdlOWL4Oq5P0BO2loiwtxHwo5UffW8ZrgA29ndDEBzWxWWtdhnP4/IVOVpGTianTDyi71E4VVEZqyzotL410VbSAuLp8vs5o+lu/hT6e4p19PqLXucB3nnVBGfyVzDtZmr2Zh2Psvj8vjpoac40ljh07U0t9Zw8OizGNjITl9DQuzk9rcOZFkWlmUSEhzT776e07eOP7yh3+atvoYLsLHRmTic71BTe5Dk+LOJikz22c8kMiUZBkdzEn16S41knoUiA0J7318em+vHlYhMnmsz1/DL5beTFhZPcXMVX917L4+WvDZjg6tHh9nFIyWv8tW991LSXEVaWDy/XH4712au8cn9LcuiqaWa1rZasGxkp/k+uELPMa6uDto76vt93hNYs27aQcnWTTQXpwz6/Z4Am3vHM4A7xDp35RMZnkxC7GLApK7R/20ZAsvj8nrf7/v7TXzAssgrrgEfzz1WeJ3lfrz0Zq7PvBgDPfqSmSHEHsS3z76OW3Mvw26z82Tpbr66916Km6v8vTSfKm6u4it77+XJ0t3YbXZuzb2Mb599HSH2oEm7p2eiwKGj2zheuZucjMmfKDCU0OBYAuzBhAbHnvG1ge0DQ/3eHRhgix/YTEtJKuEh7ipToD18spYvo2BgcH3WWn6cf5O/lzJrefpd80qcPr2v2gZmoYGjdD6f+3EyI5L4xeFn6JpmA89F+koKieFHSz5HVkQSLd3t/OTgk/z91BF/L8tvusxuHjz2F96vP86diz/NmsSzyQhL4HsHHqW6vX7kC4xRc2sNJeW7yEpdTVjo5E8UGErv4QTYMWyD379v+0BHTeyQx8P2bSEo3rqJ2n3z6FjxCHC6/1V8L9AWwD8v3MzapCX9ZjFP1VFxM5U/+l1BlddZ7/sHHqO1u4N1SUv4z6Wf1yMXmbayw5P45Yo7yIpIorSlhq+883+zOrj29fdTR/jq3nspa6khKyKJ/1pxB1nhSV67fr9WAQzCQuOIDE/y22Ymz+EEcxOX9m7WGsjTPpB8xZuUPbaBiqfXjliBnXv1LspfTqHm5BFstgBiozMn8aeQoUQGhPKfS7/A2qQltHS3870Dj/l7SbOTH0ZkeSi8znJvnyriG/sewNnewNkxWfx02S3EBOpRmEwvZ0dn8vPltzEnOIrCuhK+tvc+KttO+XtZU0pF60n+ae99FNaVEB8cxS+W38bZXgpfns1Zxyt3k52+esjA6Cu9hxNEZg4boA0D0q4pIOPGHZx48UKcu/OHDbBxy4tgwQ6wdRJtW0lUhDZr+VpMYDg/XX4rZ8dk4mxv4BvvPsA7p4r8vaxZyV8tA6DwKrh747727n2UtzjJiZzLz5ffRlyQZhjK9LA4OpO78m8iIjCUPTUH+Xbhw9PiqFR/aHV18O3Ch9lTc5CIwFDuyr+JxRMMsJZl0dru381ZZ6wJC6vn7Ug8p2tl3zz8Bi6AiFwHUefvB6CjOhPL0l4BX4oLiuDny28jJyKZ8hYnX3v3Pkpaqv29rFnLXy0DoPAqPU52NPKNfQ9S3HSC9PAE/nPpF4juOYFIZKpaGJXOXfk3ERoQzF9PvMePP3hCfdsj6DK7+fEHT/DKifcIDQjmrvybWBiVPq5rmaZJedU7lFa+4dfNWQMNNWlgKKPdwAUWRvwHALQWxVD8wEZMc6jXijdFB4bxn0u/QHp4AsVNJ/jGvgc52dHo72XNbp4RWX74d17hVXo1dLXwzf2/pbS5msyIJO7Kv3lSdyaLTERGWAL/nn8TYQHBvFZVyH8dfmZKHYk6lZlY/OLwM+ysKiQsIJh/z7+JjLCxVU/6npyVnLBkSlRcPesyMAiwhxAWEjfq7/OcvnX8oaGrr43NVTQ0HwMDwhNjqXph9bC9suIdIfYgfpx/M5kRSZQ2V3Pn/t/S0NXi72XNTt3dfPneV8k7Usm61z/EX397U3iVfhq6Wvnm/t/iaKtlflQq31r8GWyG/pjI1BIXFMFdS28mMjCUN5yH+NnhpxVcx8jE4qeHn+YN5yEiA0P59/ybxtQu1Nxag6P6PTLm+vbkrJE0tVRTXFFAVtrFRISPvvd2pOqrZVlUVr8LQFREBh/b3EraDTtwPLeWpmNDtxrIxNgMG99a/BnmRaXiaKvlm/t/S2NXq7+XNWt9eesurt1xgPv/9U98779eYt0e//QbK5XIGWo7m/nO/odp6GzhvPizuD33cn8vSaRXoC2AHyy5kaSQGA41lPGTg0/2G5Ujo2daJj85+CSHG8pJDo3lB0tuJNA28gRFT5+rYdiIjc7ENtiMKT9pa6+j29WGgTHmQO0Zn1X6yIYzNm81NldR2/ARAPGxZxEQYCMsuY7uxnBqXj1H7QOT5Pbcyzkv/iwaOlv49v6Hqe3UeDJ/+p9b11CUEUeACS1BdhbvOwbdvm/Vmjr/jyNTSmXbKX74/uN0md1szriI9clL/b0kEQC+Mv8TnBWVxom2Wn5w4LEZf2LWZOswu/j+gUepaqvjrKg0vjz/E8O+3nMQQWnlm1NissBAwx1OMJKhTt/q6uriSMkLgLvqmhy/CID41YUkX71b7QOTZH3yUjZnXESX2c0P338chyaI+F9AALf9+rM4Y0KJau/m2leL+PKDr/t8GQqvMqSDDaX8b9EOAL561sYx98SJeNsVc1dwecoK2l2d/Oj9x2nQ40OvaOhq5Yfv/54OVxdXpKzgirkrhnzt6YMILpoyfa59jWXSwGD6tg+0VMRzqq6CvR88SGdXI8GB0SzK3dRbabbZIOf2baR/dgeOP6/GuWvoUVsyNpnhiXz1rI0A3FO0nYMNfjiK17LIO1ZN3kcnWLfzEOsKDpNXNOD9gsPkHa32+fGofhUQwDUPfgFnVIj74y7fFxB0wpYM6wXHOyyKzuDjc5fx7bOv48t7/0+7ucUv0sLi+dL8DQD895Fts+6418lW3FzFr488z78u2sKX5m/g/frjZ8zK7R2LhUFoSOyUC67Qf9JAdOTccV0jIsdByq1PcrTl53DsIzynZ+dlXk5AQP9fmzYbxK0oovK5dRy7dwshqU6i8hwT/TFmtSBbAN9a/BlC7EG8fGIfLzr2+ubGpsm63UconxtDemUdyc4mrtv2HnaXSXhzB4YBrSGBhLZ1nX6/vYvGiGCe+OQK3lmaQbqjnvKUGPfb1FjAIr2yz+fS4jia658d+l4VHMx7i5K57K3jxDT6/lQzhVcZ0f8U/ZkFUWlkRSRxc/Z6Hjz2F38vSWYZu2HjzkWfJsQexCtV+3m1ar+/lzQjvVq1nxVxeaxPXsqdiz/N19+9H1effuLm1hqOV+wmO23NlGsXAPforo7OJuy24DFNGhjIMKA69jsQdnr4emzoKmKiBt+YFZHjIO1TOyl7dAP1780nMtcx7bOJP92ccylZEUmUtzi5p2j75N7MNFm360OwYHFRFde8UEhbcE9ABZrDg/jFP6xzv9Yw3CG0su70+456kp1N3PHYm3zuqXcIbe+irSfUtoQHAxDe0tH7ud6guyyT3mA7XQOt6a42r9xXCh0dEBzss1srvMqI2l2d/OzQU/zynH/gmoyLeMN5iMON5f5elswi12SsYn5UKlVtddxz5M/+Xs6M9j9H/szi6EzOikrjmvSL+FPZbmB6VF09x8Kmz71gTJMGBtPe6XRXXN09CNS17cEwVg76Ws9JXZYFJ7avJnZ5EZG5qr6Ox6KodDanX4jLdPGzQ0/R7ur07g16WgHSy2uBnsC6oxCj56n/UxuW8NIli04H1EGC5dH5c/u/b5pUJUa6K7YjVF49Qfezz7onV4S3dPQPtDb/zU4dE9PkrGM1AMR2Wvzm28/wlZ9f77PbK7zKqBxpquTJ0t1cl3Ux/7RgE//4zv/2q8iITJaU0DhuzHJXPn794XM6PWuStbo6+PWR5/mPpZ/nxuxL2OM8SGXrKZy1R6Z01RUgJDAGuy2AmIiMCYfrJfNu5cBHv4Nul/s3ZZe7rXGoy9psELu8CMfz62itSCAiR9XXsbIbNr66YBM2w8YTpa9zpKnSOxfuU11Ndjbx2WffdbcB9Hz5qas+xsEFKWCzsXP1fLDZ+gXUEdls7Lx4IXA62PYLuPP6fM4TdFNOB9veQPvMXlx2G7+67eIhg/OU4HLxnZ+/RNopd7vAidgQvvLjzT5dgsKrjNrvj+9kTdLHyI5I5pNpF/B0+Rv+XpLMAl+ct4FgeyCvnHiPfXXH/L2cWWFf7VFeqdrPpclL+eK8q/j6337BsfKdGMbUrboCtHfW4zK7aO+sJ5rx9bt6REVFsWrFV/nwwyJO1u+A+9/A2fkRCasLh8wSns+XPLCZsDSnqq9j9Mm0C8iOSMbReorfH9858QtaFnlHq7ju2X2s31PUW11tDgvk/hsvoCoxql9g9Yk+QRd6gm1PoMWCrz34Ot+4v6B/RXZpBuknGny7zsH0/CXgordLuGxPEa0BBtuvWML/3HYx2O0+XYrCq4xap9nN/xVt59/zb+KGrLW8UvWednvLpDonbh7nxZ9FS3c7Dxx9yd/LmVUe+OhFLohfwHnxC1gYlc4HQHbqxVO26goTG5M1lAUL5mNZ83F2fETJ1k2Epg4dSiNyHOTe8QzFWzdRt28+4dkOv2aN6SQ6MIzPZrufsPzvRzvonMjG4J6QlVzTxOeeeoeIti5eviiPN87LnZoVTU+gtSzK0+PANPtVZD/31DuEtnWx+HClu6XBlxu/TJN1rx8muaaJObUtXPPCAQzg5VXzeGLzORzNS/LLP0eFVxmTt08VsfdUEefMmc91mRdz39EX/b0kmaEMDG7Ncx+Q8fjxAup1HKRP1Xe18IfjBdyaeznLoubyjBFAWGjcuKqulmXR1FxNXcNxTM80f5tBxtxzsXuxYjPRMVlDGXj61lAtAYYBCWsKaauOpexR92SM9C0FUyYjTWXXZ60lPCCEvaeKeOfUOE9tMk3WFRxi8Yc9faxAc2gAf7o63y/VwTEzDI7mJgH9K7Llc2O4YudhrnmhkKteOzz4hANPmB0ryyKvuKY3MPduSOtZT7KziTseeQM7YAKtwXYe/cx5/OGalX6tAvssvD536Q+YExLV+/Huq/8LgFPtjXzylR/4ahniBVuPvcw5c+Zzddp5PFP+Js6OBn8vSWagNYmLyYlIpqa9nucr3vL3cmal5yreIi8ogl/97SdcufgGTtrDxnWdxuYqPih6EgtXv8+3d9SSmrSCyPAkr7QieGNM1lAichxk37KNkoc2DdsSYBgQt7wIxzPrcTy/Tpu3RiEhOJoNqediWiYPHh3HNBvTxPbEE9hffJHvPf0XDKsnZF17Lu8sz55aVdax6NNi8D95SRxcMLd3U9jACQeeMGvE7sM4epS8uirOmGZgWe5RYH36bcHdqmB3maenIvRMWsCAhohg7v/s+WAYVCVGUZ4+Z9B/nr7OeD4Lr31/qNF8Xqau4uYqdlYfYF3SErZkrOL/Ptrh7yXJDGNg8NnsSwB31VWzhf2j09XFw0XbwIDPzfsEvy7ZOeaqpmmaOGr2YeEiKjyDyDB3qGzpOMmp+iLqG0vISV9P4pwFEwqw3hqTNZR+1ddy94EtQ1VgI3Id5HzxKYof2KzNW6Pw6YxVBNkC2Fl9gJKW6tF/o6en9Zl9BO/5NYC7PeD8vKnXGjBRAzeFDZhw4Amztueuwmhp4VdhgUD/aQYYBnc89iYtYUG9X2sJC8Jlt/GLO9b2HwUGY2qx8HXGU9uAjMsTx19nXdISrkw5h8eP71Tvq3jVuXPmkxmeSE17PX898Z6/lzNrNbfW8OzR5/nFJT/jiqx1vNlYwdtjfKRbU/shp+qLiI3OY0H2Vb1tAqZpUlxeQNXJQo6Vv0ZHZyNpySt7T68aK2+OyRpKRI6D7Fu3UbJ1E5bLzuIf3jdoVdUwICzdiWVB8b1bCNXBBUOKDgznipRzAPjD8YLRf6PLxZfvL+DqVw8R1tGNFRxM9xe+wF1XBE399gBvGCLM/tumb2McPcrX6l5m4DSDxvAg7v/sBf1nzKbGnjGea0yTFvxE4VXG5XhLNX8/+SHnxS/gqpSV/KHU92cby8x1TcYqAJ4tf5NuyzXCq2WyWJaFhcnxjiYMw2BLxqoxhVfLsujsaAIgPjqvX3+rzWYjJ30tQYERVFS9TdmJN+nsbiEnbe24Aqw3x2QNxTAgYXUhWFC8deOwVVUd4DBwHAAAIABJREFUXDA6V6WuJNgeyFsnP6S0pWZ039TdzW+++ST5R6owcW8eWvOfv8VauhR2fndS1ztl9YTZby5fjrV8OUdfOwAM6J1N7V9F9Yzwmo4UXmXcni3/G+fFL+DqtPP4Y9luTM19FS/IDE8kPzab1u4OXnK86+/lzFqWZdHWUYeBnTech2nt7iA/NoeMsATKWp0jXwBoaqmm0vkuNiOQsNAzH+XbbDbS564kNiqTqlMfUOUsBBhXgPXmmKzheDZlAcP2v3oOLjBNcDy3lphlRaq+DmAzbFydei7g/ovqqHR38+DXHmd+6SkK5yXyzMbl7FxzFn9Ztsx7C7Ms8o5Ws3JfCXNONnMqNpQ5dW2cigkht6yON87NZue6xf4dWzUWA8ZzzQQKrzJu79Udo7zFSXp4Aivj5vH3U0f8vSSZAa7seYS4s7pQBxL4Ud+jYANCYthZfYANqSu5KnUl9370wqiu0dpWi8vVQVrS0I/yDcMgMiKJ8LAEDMMYd4ANCYrBbgskJChm1N8zXqPtf7XZICy5ju7GcGpePYeInG3TJu/4wrlz5hMfHEV5i5P9dcUjf4Np8pMfPc/80lMUZc7hKz/9DAR4McaYJhe98j4vPf4WvzrVylDdmpe+eYwrCo5w5/c/6d37y6j57J/6qfbGQRt3T7U3+moJMgleOvEut+ddwWVzlyu8yoTZDRvrkvIBeMGx18+rmd08LQMhwTEYhsELjnfYkLqSdUlLeODoS6M6Yc/oOcMoNDh6xEf5NpuNnLS1YEGVs5Co8BQS5ywY9Xp9VXn1GE3/q2VZhKS8TMxFHVRtX4pptpJ8aSOMon3AsizaK+sJTY3tfb1hGETkJE7ZQyLG6uPJ7mrpSydG8YTFsrj+qbc5770y2gPt/OdXL/VecOyZC3vFXw/y/QMVFAJbgB8uTac8Obpf5fXCd0pZcszJBfvLefCfHue2X9+gAIvvM57P/ol7RiX85ZK7ALj8te/46tYyiXZWFXJr7mWcO2c+YfZgVcpkQpbH5RETFE5pSw1Hm/SIdSo52uSgrKWGjPBElsXmsrf2o2Ffb1nuqQR2WxChIaM7NMBms5E4ZxEn647Q2l6PaZqjqr5algVWz728eEDBcAb2v7aUx2NZ70GfaQztlfWUPLQbq3MbEEjNC/XU7goC+yh+JpeJq6WDgPDg3tcbdhtZt6x2B9p+a5l+oTbMHsy5c+ZjWiavVRWO+Pq8o1Xc8vu/YQO2fXyxd/o1e6YV3P7wHs4vrMAF7O750tuBcOcPPnXG5q8/XH8R1z/5d279/VvMLzvFb+58kq/89NrZsUlsGL7OePrrgkzIqc4m3v9/7J13fFv1vfff50i2hiXbsi3vEduxnTgJzl6QkKRhFChhJZRLWy67tOX2Pq8+F+7Tcjtuae/tLhe6oMBtC4TRsMpeCQkJgeydeMZL3lu2hq1znj9kKd6WbdmK49/79eIlJEtHP42T89HnfL+fb2s5BZZMVsTlsb3uaKiXJJjGrI2fD8AO8T0KKX3rXfsKou11R7ktayNr4+ePKl7tXfWU2T4GSUaSAxdV5ogEkhOWUGHb462JTVw2qigb73NNHBV9ynskXlVGye9UZO3bSBqn/69+sZlswfbeEhrfScCypp6ky/aP6r4O5bz6xbCnfxNjX1GrqiouWxtxa3LHndwwFayIm0O4JowjLWU0uztGvf+VH5xEp8CR3EQe6411mhCKwi1//5w7nv0UnQLdwGwNuHrfWme2dWhBKsts3bKS2vhIvvvI+xQU1vKtJ3bw2L0bLpxYrmmAEK+CCbOn4SQFlkxWx80V4lUwbmQklsfmArC74WSIVzOz6Vvv2ncc7O6Gk9yWtZEVcXnISCgjZL76nNes1HVjGikrSRKpCUtBBVvdIfThkVhj8kYUsIqioKoKmSlje66xoqoq9tJ6/2vziUnF4UF1uvDovkfa9Rosi86A1N8RlSSVll3X07JHIfkKJaDBBVED3EVzdgKGVIv/+X30FbU+x9ZR14ZlcYb/PuebO7va6m0g2t1wYvQ7ezykVTYCsGdpxsRdTkXhW3/6iJveOgbAT+Mi+K2zm0a7GwB9egwX/WTL8I+XJLavy2feqRq2vH2MTW8d5Z0v5E/r7v3phhCvggmzt/E09+VezeKY2ciSLFIHBOMiJzKF6HATNY7mwCNzBJPCwHpXH+Wd9dQ4mkkyxJATmcKZ9qqRt6EO3kYgyLKMJSoDW8NBSiq3Y9BbMEckDHt/32Qtr0gMvjhTVZWOkjpaD1VQ88ZhVI/33zif46lPiqbtiExYbCYVf7memCV/HiROgzG4QJIkzNmD34e+olZVVdoOV1LzxmFqXj+XkTxUyUGoBK0sySy2ZAOwt3H0Xolbtu1j1TEbny5MZ+uWFRN78p4efvaj11h+uIIDwB16DScavaOnwxLMpN+6ioRL547uWksSj927nrySBgoKa/nyywd4+IGrhfs6RQjxKpgwtc4WqrsaSTHGkWtO5vQIBzSBYDgWWrIAONA08uloQWg52FzM1SnLKbBkjSheJzqq1WSMJyt1HaWVH9PcdpYIg3VYQTEZSQN9XVZndSulj++gp8NB2ldW+x3NvuIvKhc6SpoAleYDuURk2volC0zm4IKBojZydiKWxRn9HNqBJQd+Z/zudRhSp1bQ5plTMIUZqOpqpM7ZMur9Yxu8ZQWViZETc109Hv7ngRfwFNXzbeBxoMfpfT8iF6aT/4NNaMfSfKXR8PLVC5hfWMvaPUXMLq4V7usUIcSrICgcbikjxRjHguhZQrwKxkVBr3gNKDJHMGkMV+/q43BLKVenLGehJYsXy3cOux2DzoJWoxt3A5UkSVhj8nC626mw7UGSpGHrXx2uFjxKNw5Xy4STBoZyWSWNzKy71yJL8oi1pKYsG0nX7KLimauRJEi7aUc/I84/uOCvV09qdNZQDu3AkgNHdQtlT3xM2Z/7D5gZyqENdh3tguhZABwJcF9vshj7XY4Hj8vF4rue5olWB08DvspkY048SV9aGJjbOgTb1+Vz5fYzrDpcwd1/2c2D/3nD9Ml/ncYI8SoICsdbz3J1yjLmRWXwEp+EejmCaYaExJzIVABOtFWEeDUzm+HqXX0cby0HvO6ZhIQ6XN2rBEhyQLFQwxFo/asvkkuawJP5nFZHVcsglzVQN9I3mADA9o+16ONbsK494hewvr+7miKpfWsN5jnlJFw6eqd9MBgoaM3ZCRhTY0asn/UxXB3taM833HuWH5UOnPsuBbCx/pcB4PsR0lnRhKumlYUvH+B37nOvyXRRKkmXzce6Nm9iglyWeWd9HisOV7DySCXrd55m+7r88W9PEBBCvAqCgu/04WxzcohXIpiOpBpjidDqaXC2BdR5LJg8hqt39dHs7qDB2YZVH0WqMZbKrsZJXU8g9a96XW/ZgG7sZQOKotCw6wwSEmVP7QLUgFzW4dcLlsWF2F5bT+mT10JvpJbvrZRlSNy4n8adS3DVW1CU0Bh1gdTP+hiujnZEZImkaxZiWZQx6AeM09TE4erD7DnyGe2uVv9zDExX8N1W3tjOAWBfWT3tRbWoeG/XJ0fjqG5BkiQORh+kqKiI2uPeZk93QwfVr+zH09uEVQXcCDjmJXJ80SxSblreb1zxRPC6r6dZdbiSW1/8nO2X5Irs10lGvLuCoGBzNNPZ48SqjyIyzEh7d1eolySYRmSZEgFEtus0objDhlUfRaYpcVjx6mvYGujsjYdz9a876XI2YzL2d/TGM6DA57S2HCyn4pk9aE06Mu9ZhzE1ZsI1n6YsG/N+9Ce6Kq2UPbkJVPo5sKZsG0mbtlPxt6sJt7aQuG5q3NdAGE7UDlVHOxKthyqoeGYPNa8c6JdrKyNxe/gHqKi0ujv9tw+Va+u77XcamSeA1k/L0ByzoQKeThcafRgeRzdIcNXju7Hb7f3WZ5ThAUADWIxhfP7DTdTNSSU92PW8ssyDP7jOP7ZWZL9OPkK8CoKCikpFZwNzo9LIiIjnWOvZUC9JMI3I6HXSRMrA9KC8s55V1rlkDDPyFSbesNUXX/0rQFnVTiSkfuUDY2nY6lseUPbULlRVIe3WVcQsnoUpOziNSpKEP21A9WgoefwG4JyAlSTv2FhUCfuZDJS1R877MsnhRO1wmLLi0cWbMSRb+jmvueYU/s/c6yntqOEXp7b5bx/Jeb3+aDmb3z/F71ZmcnDLyiGd16eu+x5FRUX89NhW8k9Ws2F3EZfYu1kEFKXHctdvb4GwsCC9G0Og1fLsDYv5wW+82a+PPvAi9/9ss3BgJwnxrgqCRmWXV7ymGGKFeBWMiRRjLAAVXQ0hXokAFVAVRohwpbL3c0o1xg17n4k2bA1EkiQMegsqyqDygUCdV0VRqNq2n5o3DgMw6441QXFah8OUZSPr7pcpefwGSh6/AUNqg1/Uxq05QuvJDGrfXIMpr/y8cl+DgSzLJFw6d9Dti5IXsXDOQuprFCK7E/v9bWCure+2jNpWlgB3d7l5MMs7PMB336hc7+XiRYtYAuQ9coqVR6qQgPLEKP64YY43XmsKXNDt6/JJbLRzx7OfUlBYy5+//Rz//e2N3gQCEaEVVM7z33qC6UStwxt5kmSICfFKBNONxN7xob7vkCB0OFwt9HhcOFzDfxa+zylhpLGvQWjYGoivfEBCprntLIrizVsdzXn1Ne9UbdtPxTN7SLy6gPzvbyJ+7RzM2QmjDkCoeO8Iu29+DLvdPqb1SpLXbc2+52UkTQ/NB3LpXTKyDNH55efc1xkSjz2efX3r5uV8ujCdVUeruWXbvsF36O4mbNMm9GvXsqpXuBamx/DV33+VrbesnrrT97LM1s0r+Om/Xo5bhtyKJv7w4Es89LN/QE/P1KxhhiCcV0HQaHC1ARCriwzxSgTTDas+CoB6Z2uIVyLQ66LRaHQjNj/V9X5O8b2f21QxXHzWcM7rUCUC6V9ZTeqNS0dtxFJVlY7iOiq2fU7r7hIAjt79F1Zv/eYY1+wVsM56CxXPXE13SyRZd3sjsi5093Uo4nqPD77jRUBoNFQmRbLqMKzeU8zWG5d5BamqMvt0Fb996GW0bq/6b9FCQ1wEZ5MimV1aT3Fu8tS6nr3TtypTY/j2H7ZTUFTH5btLmFX5HB9enI2vbmTr5uWTI6q7ughbtAh+dTUYxx8tdr4jxKsgaDS7vF3ilnBTiFcimG5EhUUA0Ooem7MlCD7eKVXyiG5ka7e30SYybOoPjgPjsyyRGUM6r6qq0rDrDGVP9iYIBFgioCgKjbsK6axppvr5z8Fzrn4iLGf4MomR1+yNyHI3R1L75hoAv4CNzi+n/q2106b2daJYdGbg3PEiUN7ZOI9N75+koKSBh375Ng//3y+y/sNj/Mej2/sJGUsPWGo7ya3tZP2+s5zMsnL/z7ZAeHgQX8UoSBLFOUnc/4ubuWXbPr6w/RS5FU3kVjT577LwRLV36ALw2L0bAquNVVVmF9Xw5ZcP0GrUEt3hBEUlodHOy1ctYN4pG2Ef/gYt8MJ9f+Pmv9w7SS8w9AjxKggaHT0OAMxhhhCvRDCdMGp0aGUNXT0uulXP6A8QTBqjDSjw0a300NXjwqjVYdTo6PK4pnCV5+KzahoO09x2ljBNRL8hBaqq0rDzDGVP7WTW7Wswpo0uWn1Oa9XL+2n+5NyUNzlSh9LufX3Jl44/v1OWvYIV8AvY+C/sJ/aSI8TPIPfVrPUeHzrGmEhTnJPEU19ezr3P7GXjJ0WUJEdy94sH/CKmZ+5csFr5yHkWJIm84gYymrooKG5g251P8dg/X8z29fOmNpdMo2HrlpVsvWEp3/rzTpoidcS2dHLteydYdbiSVb13yyttYs/SdGKbO2GENIfoNgfr9pYxlAwveGxHv+v15ikU6yFAiFdB0Ojq8c4sidDqQ7wSwXTCqNUB4JhiASQYzGgDCvri8LgxanUYNOFTLl7BW/+aFL+QCtseYqNyvDeq0FFS5x008OROUBSMaTEjdsmrqoq9pJ7mg2VUPv8ZdCvIOi2JNy6h5fMyHMXeBIz4qxaQtH7ehNbcT8C+sYaGHcvI/vrfiZo7c9xX3/4+5u+MJLF18wqyzzZx+SdFfuGqAi9dkc+XXtoLGg0Pf/SQ9/49PXzr8R2s33Uaa6uDH/z2A+YV1nldzql+g7VaHvv6Bu//qyrvXH4Ryw6WEdvYQV5RHQWFtRQU1ga8ucL0GA7nxfud10s+L6fvOZAe4P5f/VNQX8L5hhCvU4yMxJaMtcyNSuNUWyUvlO8cfkLNNMOleAvSw2XxtRIEjk72xte4PN0hXknwkft0K30549Jpsr+PMDWrDy6PN/xdrxna4ZEkCQkZp6sVc8TITVHjWmWf8oGq2v2gSjgPtlG+dTegknnnuTKB4fCmD+yj8oXPUF1e1z/mklySr1tEw/ZTfuGacPVFZN+zPiijUX0CNjymnapX1lPy+A1k3f0ycVfupPaNNUTklpO0/sJ1X337u3M8+7ss8/D/uZxL9xSh621we39FOo994zK+NLB+VKvlsW9s5LG7L+XP/7qV3IomNr91jKaYCLZuWRn0OtiAj+2SRHFOIsU5vUkLHg+3bNsPnp5RnVeQaIo1DU5PcDh47Z+fxNLlfU89jz8OulPBe3HnIUJlTDFbMtZye/ZlAKyMmwPA8+Ufj/SQaUOP4v3HXyNdwLaBIOjIvQcRj3rhtVtvyVjr/3/ffn8+7+8mYzyZqWsoq9qJUR8zaJJVX3yflzyMCDAZ45mVuoayql1DTsUKBr7ygcqavfCJSvWhA8y+/QsBlQl4PB4Kf/UOTbsKAUi8ugDTnERiL86h6Nfv0fxJIZJOQ9rNK0i9cVlQhOu5dUPaTTvQx7dQ8vgNlP7xJiIXnQJkWvfNI+HSC9d9ndD+rqp864kdfuEKcOmBKkpe+gw2DDOqLCyMu/7nVh594AUKCuu489m9oOIVgEF8k8d9bNdovGuZALOr2wnr8eABlHvvRbnlFtjx/Qlt83znAt09zl/mRqWNeH06I1LsBIL+TLf9XZIk9OHRqGoPqjIxh1iSJAw6CyqeoEzZGo4Ig5WYY9nwEaiLutEtjhox/kpRFOo/Ps3pX7xF065CYtfkMvs7V5B1zzqsa/I4/ePXvcI1XMPs+y8j7ablQRWuPnwpBCnXbcfTqaft4FzC06to2rWIuo8Lgv585xvjOV7MLrRxwzsn/NcbovToehTueWYvYdddN3wclUbD/T/bQmF6LOEq3PvsXr71p48IZj5ZKPf1tKpmDG6FbVcX0PPLX4Zm3vAUc+G/wvOMU22VI16fzoT1lgt0K6LpRhA4Pb0OjFa+8EYpTsf9PZCcVwj9/u7Lbm3cVUj7ThsR1yTCxdDQfGpYsawoCqVP7KDwl2/TsruY2DW55H7nShIunYu9tJ7CX71D26EKIhemseC/txC/ds6kDC/w4UshSP/amwC4K1IAmboPluK5QP8Z9X1ftGMtL1NV7v7LJ/7TxYUpUdz45B28eE0B3RrQfvghYRdfzC1b9zDkm6fVctcj/8SR3ERk4Ka3jvHQL94a+r7jIGT7elcX33piO+1mPe9szJ8RwhVE2cCU80L5ToB+dTEXCjqNt5bJrVx4tYuCyWO02snpzAvlO/2nEp8ueX9a7O+B5LwC6Hv3d1cI9veBMViZd66lJ6+H0qpaGlpOk2idP6hMoW+ZgMYQRvJNS/2uakdxHSe++3c8jm6/oNVMUbC9r4RAF99C0f/cDG4d9qP5nPn9tcz91usX3GAm3/HB9/0JlNmFNpYdt/mvf7g2F3Q6HrtnPe9smMvjTx5De/w49x2H1fvPeuOxBsZPabXc//MtPPTLt9n4SRGXf1KE2e7iwR9eN+HM1VAd21/45rNY2100RBsoHsP43umOEK9TjIp6Xte8TQRTbwSKvTd1QCAIhM4eb9dxhEYX4pUEn74NG9Nlvw8k5xW8EWcAXT1TlzTQd+jA2b/uZtYdl/ibsuoaextUVGhuO0uEweo/3e/xeDj5o1dpO1RB7JpcUm5Y4k8gaCuqofrlA3gc3SReU0DW3esmpUxgJCQJ4tceQVWh+Nf/BKqW5vcupnHDfqzzbKNvYBphH2cqzZf/vg+tCnbABMS2eKMZfZmq3Xv+BDfcgObDDykorOOFu57i5sf/eXC+q0bDw/92Fa2RH3HTW8dYdbiCRx94kft/tjmwrNVhCNWx/ebf3coL33yWm39364waQTsz/GXBlOALLG8fY36fYGbjUrpxetyEa8IwXIDu67RDBVSFkQIHjBod4ZownB73lDqv9tJ6TvzgFW9+620X9xvvatBZkCUt1pg5VNZ8SlXdflRV7Sdcoxalk/udK4mcnYiqqlT+/XNOfG8bzZ8UEbsmNyTC1YckQcKlR8j69nOAAmg58937cV5gXoAv3zVqLAMuXC6WHa8GwJbsHXLQFDPg8Vot3a++yh+/spIeIKmpk213PAXdQ3w/ZZnH7t3An766CpcMBYW1/Plfn2N2oW2Ubv/zEKORm5+++4KepjUUQrwKgkbsOCenCAStbu/Epphwc4hXIgik5tU3Rc/3uQ1H37isiTRt+epbuyqbQZbJvGMt1jV5/dxhp7sVRe3BZEwkPWk1trpD1Dac7Cdc839wHRqNBkVRKHl8OxV/3YOKSuI1BeR+58qQCVcfkgRJG44QufKQ9wYlnEPf/j8hXVOwae6dojeWff3RB17AYnfTopP58JI8741DfZ1kma1bVvLjf72MHsDa5uChX70z9EZlma2bV3DfL79MYXoMueVN/OHBl7jlxb1BbeQSTA5CvAqCRrzeWyM3ppnVAgFQ52wFIEE/cp2lYPIJpOY1wWABoM45clNX37gse1f9uNbjq289+Z+vc/bpXWTdtRbr2rxBZQ2+EbFGfQyWqAwU1UPJb98fUriWPrGDujePApB60zKy71k/ZTWuoyFJkP/gc3ij5sFjs4Z2QUGmvndfjx/Dvl5n9QrdfQvTiW33WtGxLcOc4ZMktm+YR2myd/Rqgq15+A33lhzc9citHMlNRNejcO8ze/nZD14ePrlAcF4gxKsgaCQZYgCocYx8QBMIBuITQb7vkCB0yLKMLIXhdA/vlibpveK1dpR9faJxWT7hevYv3vrW/O9vGuS4+nC6W/Eo3TjdrUQYrEQfSYdjKhHLE5j7/U39HNfaN44g6TSkf201aTctn9REgfGg1cL8vz0IWhfz//bdUC8nqPiOD8mB7useDwm9QrU1xuQvFxhUNtAXRUHn8IrcLn0AjWG9jVzvXZKDBKw6XMmjD77ELc9/GrQ0AkFwEeJVEDTSjV6HoLKrIcQrEUw3Kjq9rlx6xMgjSQWTj8kYT2bKGsoqd2DvHNotzej9nComcV9XVZWGnWcoe3Ins77Wv751KIz6GDSyDpe7g47iOtreLQe9jGNJK81txf7t+R3XLcsnLcM1GERHwyWvfJfoC+xkRFXvdyYtIjBH+ZYXP6OgsB4X8M5l88+VCwz3W8jt5m93P0VGizfFpDItQJHc28j1w+9cwZGceAoKa7nv2b08+sCLwoU9Dzk/91rBtCNM0pBijEVRFSo7hXgVjI3yXpE0yzRzol7OVyTJOx62x+Okyzn0KVff51Q+jLgduD1Z0ozJ3fQ5rqVP7kT1KBhSLaM+3hQRT1L8Yipsu6navQ+P3U3CpvlIyRIlldtpbbdR/fpBACyX5JyXjutMoKKzAUVVSDXGESaNXqoR2+jtofh4xSyKZyd6R6iC/xIARUF+7jnCbrmF1257gowGb11tTayRx+7bGPjiZJnt6/K5/xdf5sWrL8IleZu5hAt7/iGisgRBIdOUSJispbyzPiS5j4LpTXGHNw4ox5yMhDT0THDBlOGrH9WHD7b9JCRmm5MBKOkYPcYpwmBlVuoaIgyBOW19SwUy71zjj8IaDUmSMIRHgQ1a3y5HNoaRsGIeUTEplFZ+TNmfd9BVVI8pN5E5//eL563jeqHjUrqp6mokPSKeWaYEikb5DkW39altlSR8lmtaRQMP/fQ1Wk3h5JU1oSv2miYWoCVc4vTcVB78/rXji7/SaHjs3g2884V8vv3H7RQU1lJQWMvCEzYOz0tm3xKvkJ5J0VTnG0K8CoLCnN5ReIXt1SFeiWA60uy20+Bsw6qPItUYJ0pPQoyzuxWP0kOrvYJIc2I/hzLNGEeEVk+9s9XfOT4SXc5Gyqt2A2C1DF2v6qNfjettFw9b3zocuvAoKAXV0UPqV1djnp2AmQSc7nYqFO8azEvSzpvmrJlKYXs16RHxzI1MG1W8Ins/f7PDDR4PaWe9bv/KU/VI9Hf+e1JT2Rcn8eB/XDs433Ws9DZz3f/zm/nWEzu49u2jrDpcwarDFdz29/18smwWD3/nixPKhhWMH/HTUxAUFkRlAHCirTzEKxFMV062VQBwUfSs0C5EgNWSR3rSamrqDw9KCbjIkgmc+7xGI8JgJT1lNWWVIycOTFS4ArQWlcNuQC8Ts3hW78AFicTYhcjl3iEqPR7HmLYpCD7He48TCwLY10t6h0ksOWrjhdsfZ9WZRgAk4EhWHC9eNof3VmbSfe+9dJ84wYM/vmniwrUvvS7sN355C3/4yireW52NwdXD5Z8U+8sJZhfVTL982GmO+MkgmDAyEgtjsgE42lIW4tUIpiuHW0q5NGEBC2OyedO2L9TLmdHIsky0OR1b/X5Upf9BucCSBXg/r0AIJHHA35z11M4hM1wDRW1QwQnWzfmYss+VGpQ/tQul3AEpELYuAkVRRNlACPEdJwosWchIKCOUCW29YSnXvbiXJDcktZyb2FCjh/t/c6t3vi6wZsPDk7dgSaI4J5HinERQFHbvPM0Nrx/ylxPc/uI+nt68DGSJ2ngz2y+d61+XYHIQ4lUwYXIiU4gMM1LraKHa0RTq5QimKYdaSgBYZMlGI8l4VBEUHkr6DiuINCcCoJFkFlu8P1QDFa+j0bc5CyWw5qyXp7j9AAAgAElEQVShUBSFrromMIAu39RvGz293eLhmTHY6j9Hq9WSlrhMNGyFiGpHE7WOFhINFnLMyZzpGL7cbP3OMyR5gwPw9fxrAasTaG2FmCmO1+tt6tq+Jo9btu1n4eFyVh2r5t7n9iIDHuDKj05zOD+JfYsyWLa/lIUnbFSmxfLYPetEmUGQEO+iYMKsipsDwOdNZ0K8EsF0psbRTEVnPekR8cyPyuBIq3DxQ4lBb0Gr0eNwtfmdyvnRszCFGSjvrKfGMUL4+wD6TtoyR5yLuxpvc9ZQ1O88Tcu2YvgCROdkDHp+ALXMQ7J1OdW1+7GYMzCLdIuQ8XnTGa5NXclK69wRxeut2/b7/7+vYNECH9z+Fza+FqIJZBoNW7esYOuNS7nl5QPUxhiZd6aGTe8c99fG3vPcZ/iqq1cdt7HmsxJufuL24JY1zFCEry2YMJdY5wGwp+FUiFcimO582ngagEvi54V4JQJzRALJ8Uuoqv2UxpZCANb07ut7ez+nQBlu0pa9tD7gHNfRkOh9XCS4uvtP+Zt97wb06bF0V7fRsa0aj+Kmuf3shEbWCibGp73HC993ajju+vWXKUyN8ruubqCr93Lj07dN5hIDQ1WJbWgjsa6V6NYu5D5fqYFtgUnNXfzs/z0/pcu7UBHOq2BCzDYlkRZhpdVtF06ZYMLsqDvKzRlrWRu/gD8WvSVKB0KIJElEmdLQyGHowqLQSDJr4+cD3s9prNsy6mP6JQupqkpXVTMgjbtUwIeiKLgaOpBMYajxnkERX1qtloi5CTgrmtBqzKQnrcZWfwiDLgprzLn6WkVRqN95mvaTNjTRenpaHGgtBrpbulBV1dv8ddl8onKSRMnBBDnSWkar205ahJVsUxIl9pqh76jXc9cf7oDubl64539JarQTBuwtSGN2k4tiizquyCoVaJcjaZGthKsO3JKBcNWBCz0XHa2gzWjGZQjnazteRev7kaOqvfmyvdclibzSJgoKa/ttuzA5isNzE8g72wySykXFTb6fViwubAK3W7ivE2TKxOurG39IrD7Sf33XNb8GoMnZznUf/HCqliEIMhuTFgHwcd0xFCE0BBOk1F5LeWc9GRHxLIvNHbPDJwgufUeuLo9dT1R4BOX2OkrttaM/eAB981595QLlf91D5p1rxl0q4KN+52kq/rYby/WzaUksxuluJYqkfvdR+jSeWaIysDUcpKRyO3pdNNRA88EyWo9WYj86ctxf4wensF6WT3iMifTNy0Xs1jjxqAo7649zbepKLktaREnRMOLVR1gYNz/+zzz67y+xoLCOVUcqWfRvz/P65fNpskSg2f9z1FmzIEYZsllKBTrkSLokE6BiavFwJq4Ad5i+96+S/7J6+Tk3uFmbwF3vvMMDL7wwyEn1cWS2lT3LZhHb4qDJambrjcvA971QFNZ/fIrv/vo9dIAO+NkPX+HBn948tjfsPGeqNd6Uide+LyqQ2wXnP+Gylo2JCwF4t+ZgiFcjuFB4z3aAu3O+yFXJS4V4DTF9616vSFwCjH9f9+W9KoqCe7ud2neOMuu2S8adLNAXX8mAMTGWDm0lBp1l0H2cNa3+S+8I3Esp2vsBp195G/eh1nPjRsM0WJZnok+3DHJe7UX1uEobaXj7OAAt+8owZsUx+94NaEUjzph513aAa1NXsjFxIU+VvIdbGWUMa1gY9//iy6zfcZIrt59h+eEKtvR+FvAZAN/64nyaYs3UWs0oksSJpDkoQLshisLZy3GG6QAJElQi7XbufO0NVp48SUVCAul1dZQnJHBmVizHs7M5MmsBZRkZfO/ee9mxMJ3rjn48yHltskb2F6sDkWW2r59HYmUT9710AIBFx0Yf7jHdmGqNJ/Y2wbhZn1CAOczImfaq4U/5CARj5L3aQ9yWfRnLYnNJ1FuodbaEekkzFl/da0XNbiobj7EkLof3aw+Na1sRBitpyasofe4jlA+6Sf/q+LJch0KfHI1GH0ZYkgkVhpzQJhu0/kuPx0Pjk8XwSQ9uvKLWXJCKPjmahI3zhi0L8Hg8VG/bT1dDG43vnqCrsI6uwjrsJ2sx5SeKkoIxUmyv4Ux7FXmRqaxLuIj3AvlhJMts3zCf7evyWf/xKRLr2kFVuTPnSqirI+v998nGwak0HZ/l5/P6wmtQej+PKLud7z39VzLq6nDpNBTnRRGm76R4UTiJDRUULzKDpp3y1YmY5CrmdbdzglWgDWfnkktwzB9FXI/A1lsv5u6XDqBFCK9gIN5DwbiQkLg+bRUAr1Z+GuLVCC4k2ru72FF3lMuTFnN92mr+UPRmqJc0Y/HVveq1BmZHz2ZH3VHau7tGf+AwuA92oHzeTeLNBaTeuDQoIk9RFBq2n8Lj6Kb9bCWeNBcudxsMKBvoKvVObevcV8nezY/6c5e0mUZ6ZnUR/5V8Eq35I65Jo9GQvmUFqqqSdPkC6j44QcuRCpwVTTgrmmj88DSW5Zloksw0vnmMhU/djslkmvBrvJB5rWovD+TfxA1pqwMTrz5kmY/Wz8MuR6IAxnm3g6LwzU1Xo6oSDp0ekFhSdoCUlmokIK6zGVdKK0WpeipTYyjOjh+2XlYCLEo7S1zvcpx1zHftmNgL1WjY8MgmPvr2a2x4ZNPEtiUQ4lUwPpbH5pJpSqTB2cbO+uOjP0AgGAPbKnZzedJirkxewnNnt9M2AcEkmBiyx4G7x0VxazEfdIy91tWHvbQe2zMHka8Ix3xF8NzJhl1nqH3rCDGX59CafpbUhFXEWXIH3U/19KnJ7wEksF45n4SvzON02eucte3EFBGHOWL0+CxJkojKSSIqJ4menh7K/vwx9opGOo/ZaNld7L/f0bv/wuqt3wzGy7xg2Vl3jDuyLyfTlMiK2Dw+GyVy0Ve76pC8PwrKdPNRkbizrIxIWcYVriXTdRxc3jglXUINzQneGtgm4jhD3JjWZwCWTVS4+sjKYsM/QhTtdYEhorIE4+IrmRsA2Fa5mx7VE+LVCC40znbW8VnjafSacDanrwn1cmY012VuJEoXRWFbFWftdePahi9ZQJI0pMxbSkXNp3Q6GoKyPn1SNBpdGPoVFhTVjUEXNeT0rCWP34E2wey9khVF/s83k3vfRqLMSWSlrkNCprntLIoytsZTrVZLzte/QMHDm5n9nSuI/+ICor7gFc+zv3f1hF/fhU636uHvFZ8AcGvm+iHv4xOsbXIkldpsTupXUqRfTKluASqQ6TrGk5mZvJGXx3znXhI8NhI9NuI9NiFyLlCmzHltcrYPWbjb5GyfqiUIgsTF1nxyI1NocnXwVrUY4ymYHP5a9hEr4ubwpdQVvFy5h2Z3R6iXNOOICTezPvEifi9r+fWn/82cnE0BOZN96Z8ssJbYghwMbVEY9WNzwIbDUd2Cx9GN1CihTdYN2awFYDAYWPnnu4b8mzUmD6e7nQrbHiRJGtf0LVmWSVyXT+K6fFRVpfPaZURkWsf8emYib1XvY3P6GvIiU7nYms/uhpOo4C8JaJOt1IRnoSDjkcJIdZ3CoDowqHYkwKS0s8Xqfa/NitAUoWCqNd6UiVdfVMK7vfOHr/jooal6akEQCZM03Jl9OQDPnd2OS+kO8YoEFyrFHTY+qT/BJfHz+Oesjfz69CuhXtKM4/bsy1iauIg7ltzPL/c8jKqMPdTfN4gg8461WNfkYe+q52zlLgw6y5iF8EBUVcXdaPcWKMrSsM1aoyFJEqkJS0ElKNO3JEmacPzXTMKldLP17A6+kXM18TEr6WyuoRMDZbp5fsGa5jpFtNKASzIRJxzV846p1nii5lUwJjalrSLFGEdFZz1v2/aP/gCBYAI8WfIeK+LyuCxpEf+o/oyijgsvYuZ8JceczOVJi+lWethRdxSP4sbhaiHSnBjwNoYbRKCi4nC2YDLGT6j2taOkDturB0i9dRW6xWY8lS6crlaizEmjP3gAsiyj05n907dMERNbm2B0fO6qCjxfe4a68DweaWgl3HAxPYqLWa4T6FX7AMEqnFWBqHkVjIF4fTRf7a11/VPR22L6kWDSsTmaeLXyU2RJ5tt5m5Al8U/WVCBLMt+ecx3gTRPpQotGDhs0uWokVFWlYecZzj61i8w7zg0iGG5U7Hjoqmymp92JPj4Soz5mzGsciNWSR3rSamrqD9PQfEaMj50EfJOt6jTJNGiSOalfwUn9So7plvPHhgb+IzmZf+TkcLHnBPEeG1FKu6hdFQxCfB8EAXN/7pfQa8LZWXeM/c1FoV6OYIbw7Nnt1DlbyYlM4frUVaFezozghtRV5JiTqXO28szZ7f0mbQWKvbSekse3o3qUfq6rJEkYdBZUPBMWh5IkgeS9HM8aByLLMpaoDJBUSiq3CwEbBHzNVu29/3kFq6/haj6zXCfId+4l37mXnK7dLA9rYZUllu/nfQHhewuGQ4hXQUBckbSE5XF5dHQ7+EPRW6FejmAG4fC4efTM6wDclrWRdKNogplM0o1Wvpa1EYD/Of0aTo8bfXj0mFxNf7qARkPW3esG1X9KkoQsaSZ8Wt43nECfHI1BZ0GrGb5hK1BMxniyUtcBUFK5fcLu8Eykr2Dt666e1K+kTDePWa7j5DgPMs+5l3iPjUilnUilHbPSzh+L3qKj28GKuDyuSFoS6pciOE8R4lUwKimGWO7LuQqA3xW+Ibq+BVPOvqZC3rUdQKcJ48F5mwmTxDz5ySBM0vDv87ag04Txju2A/wyLz9Vs7agY1Ynsmy6QdddarGsHT9EyGeOZm32t//7jQVVV2g5X4HF047S1ova2ao2nYasvkiRhjckjO239uOOzZiLDCVavWD3nruY7PyPBYyPBY8OstA9yV5vdHfy+8A0Avp5zFcmG2Cl/LYLzHyFeBSMSJmv57vybMWh17Kg7yva6I6FekmCG8oeiN7F1NTHbnMw9OV8M9XIuSO7J+SLZ5iRsXU39JpsZ9BY0Gh3V9QdGdSJ96QKzvjb8+FffbaeKXx+3s2kvrcf2+iE0EeEYU2NwulrxeLwNWxPFJ2CTExZRWbOH0qodQsAOQWCC9bNB7upofvtHdUfYUXcUo1bHd+ffTJgsessF/RHiVTAi/5J3LbPNydi6mnjk9GuhXo5gBuPwuPmvEy/iVnq4NnUlGxMXhnpJFxQbExdxbepK3EoP/3XiRZwet/9v5ogEslLWI6GOGJc1XLrAcPdVJlD3qigKqkch8971mLLjx1zaMBq++KxEawG1DUeoqtsv6l8Zu2ANRKwOxSOnX8PmaCbHnMy/5F0b7JchmOYI8SoYluvTVnN50mKcHjc/Pr6VLo8r1EsSzHAKO6r9pxT/JW8TcyJTQ7yiC4O5kWl+gfC7M/+gsKO63999jVG+uKzhsJfWD0oXGA5JkpCQcbpaxyUKHVUteOwu/7aC0bA1EFmWyUpdR3rSxdjqDs3oBi5fSoB3wtXkCNa+dHlc/PjYczg9bi5PWsz1aauD8TIEFwhCvAqG5BJrPvfMvhKAX516mVL7+GeaCwTB5G3bft6s/hydJowfXfRVkg0xoV7StCbZEMuPLvoKOk0Yb1Z/zjs1B4a832jO5lhcV/DWvWamraXcticoo2KD1bA1kJmeQOBzWn0pARW6uSS6SydFsA6k1F7Lr069DMA9s6/kYmt+kJ9BMF0R4lUwiAJLFg/mb0aWZJ4seY+d9cdDvSSBoB+PFb7BvqZCosMj+EnBbcSEm0O9pGlJTLiZnxR8jajwCD5rPMNjva72UIzmbI7FdQWvWxoXnUtGyupxjYrtG5MFBK1hayhmWgLBUKUBvpSAXOdB0npKJk2wDmRn/XGeKnkPWZJ5MH8zBdGZk/yMgumAEK+CfuRHpfOjBbcSrgnjH1Wf8WL5zlAvSSAYhKIqPHz8eQrbq0k2xvKzRbcTHRYR6mVNKyzhJn6+6A6SjbEUtlfz0xMvoIwweGQk51VVVboqm1E9CvqU6IAjsDodDZyt3DUu57VvTBYQ1IatgcyEBILRa1m9KQGhGBjwQvlO/lH1We/Zlq+QH5U+xSsQnG8I8Srwc1F0Jj8tuA2DVsf7NYf43QgujEAQapweN989/L+U2mtJj4jn54vuICbcFOplTQtiwk38bOHtpEVYKe2o4buH/7dfg9ZQjOS82kvrKX1iB8CYs1t9o2LHcip+YEwW0DthS4fL3TEpwvJCTCAYS/PVVLisI/G7wjf4oOYQBq2OnxTcxkXCgZ3RCPEqAGB5bC4PF3wNg1bHh7WH+fXpVybl9JtAEEw6ehz8+6GnOGuvI8OUwG+W3CtyIUchxRDLb5bcS4YpgbP2Ov798NN09DhGfdxwzutoAwlGYryjYgfGZAGYIuJJTlhCRc0eGlrOBLytsTAwgWC6Ctj+dayT33wVDFRUfnX6FT6qPYJRq+Phgq+xPDY31MsShAghXgVck7KcH/obNvbxi5PbRjx9KBCcT7R1d/HAoSc53VZJosHCb5bcTZ45JdTLOi/JM6fw6yX3kGiwcLqtkn879CRt3V2jPk5VVVo7KoZ0Xn21rll3Dj2QYCQkScKoj2Gsg7YGxmT5tmUxZ6DVhGMID27TVl98CQTTLUJr+DrW81ewDkRRFX5x8u+8Vb0PnSaMH170Fa5JWR7qZQlCgEj+neF8PecqfwTJs2Xb+WvZhyFekUAwdtq6u3jw8NP8x/wvszQ2l18uvotHzrzOB7WHQr2084bLEhfxL3nXEq4JY19TIT8+thWX0h3QY+2d9VTX7UOj0WHQ9xeGqqqOuda1LxEGK7NS1xBhCHzs78CYLP9aJrFpqy8+ARuuNVFdux+LOQOzKWFSn3M8qIBdjkQFnJKJMt08VCQkVGa5TmBU7ZjOU6E6HAoqj5x5jRa3nVsz13N/3rWkGsfe8CeY3gjxOsO5Pm013UoPj5x+jffFgV4wjXF63Pzg6LPcl3MV16Su4N/ybyTXnMzjxe/Qo3pCvbyQoZU03DP7SjalrQLgjarP+H3Rm3jGcHaly9mMonaTHr8ac8Q5kaaqKo7qFiSNZlzC1bvtRsqrdgNgtQTm3A5MGvDhcrfh8bho66gk0pQ47jUFgizL6HRmPIqL2qbjRBityHLoT2aOJlgNqh0Jpp1oHchfyz6kxtHMt+dsEhmwMxAhXmcgiX2ckwZnGz85/jyn2itDuCKBIDj0qB4eLfwHRR02vpn3JTalrSI/OoNfnPw75Z0XdrzRUGRExPNA/k3MNifjVnp47Mw/eHeYHNeR8NW7RpnS+wnCc/FYa8dU69qXCIOV9JTVlFXuwqCz9BPHw65nQNKAjzhLLl3OVmz1B4iOTCfSlDiuNQWK1ZJHR2cNtQ1HkCSJrNR1IRGwM0WwDuT92kNUdTXy0IJbiNNFApCgt1DnHH6QhuDCQIjXGUi981zN2jf3/Z627s4QrkYgCD7v1BzgbGcd/z5vCznmZB5beh9Plb7Pq5WfzohGRAmJ69JWcUfWZYRrwqhxNPNfJ17kTHvVuLbndPUmDbhaiSLJf/tESwbA654adBbUMYyKddpa8Ti9SQNRuefWI8syBl0UPR4nDmfLpItXX/kAQG3DEYApE7AzVbAO5FR7Jd/8/He8sOb/Af2Pb4ILFyFeZyBKn4O3EK6CC5XT7VXc9/lj3JtzFV9MXsrXc67i0vgF/L7wjUHjTy8kcs0pfCP3GuZGpQHeiWR/KnoLxyhRWCPhE5V9xWUwSgbGy3DOK3gjs7QavVfGqeqkr20qBawQrEPT2uc4NhN+nAqEeBUIBBcwDo+b355+lc8aT3N/3ibmRqXxyNJ7ebfmIE+XvH9B/XiLCovgjuzLuTJ5CQBNrnb+58zr7G08PeFtDyVe7SX1lD2+g6x71o+7ZMCHJEnIUuAieDjnFbyRWbNSL6W0agd6ffSku68wWMCGh5lIS1w2YeHcV6yCEKwCgQ8hXgUCwQXPp42nOdxSyj/NWs/1aav4YvJS1sbP57WqvbxSuYf2AOKizlciw4xcn7aaTakridDq6VZ6eKVyD8+d3TEht7Uvru6OfpcAXVXN9HQ4g+JumozxzM2+FmDU7SmKgquhA41J58947YtXCMv0eBy0tldgjkiYEme4bwKBre4Q+vBIrDFjiw7riwJUabOpCc9C7ZWlQrAKBF6EeBUIBDMCh8fNkyXv8m7NAb6ecxXLYnP5p1nruCFtNW9W72NbxSc0uTtG39B5Qmy4mZvSL+GqlGXoNeEA7Gsq5I9Fb1HV1RjU5wrXmvpdqqo3lEprNmBInXimqk/gnSp+nbmzrx2xaath1xkqntlD2q2r/BmvA5nqxi0fsixjicrA1nCQksrtAGMSsH2d1lbZSoVuLmmuU1gU7/hcIVgFAi9CvAoEghlFVVcjDx35K/lR6dyScSnL4/K4Mf1ivpS6gp11x/iw7giHW0rPy0EdsiSz0JLFFxIKWJuwgHDZ+0/4Z41neL78Y062VUzK87p77P0u7aX1lD/9CVn3rMOcHZx8U1VVUQJo2tInRaPRaYlemD6sKJRlGaM+mh6Pc0rdV/C6yFmp6yip3B6QgB2ujhVU0l2nSO0pEdOEBIIBCPEqEAhmJCfbKviPo38j25TEl2ddyiXWfDYmLWJj0iKaXR18XH+Mj2qPnBfNXbnmFDYkFnBp/AJidGbAO21oZ90xni/fSYm9ZlKff0jndYIpAwORJAkJGaerdUSxOVK9a1/iLLk4XG3Y6g+h103sFP5YkCQJa0wewJACVtSxCgQTR4hXgUAwoymx1/CT48+TZIhhQ0IBGxILSDXGcX3aaq5PW01lZwOfN52hsqsRm6MZW1cTja72SelqlpCI00WSbIwl2RBDmjGOFXFz+k0Qqupq5KPaI3xUd4QaR3PQ1zAQj8dDfcsp4JzzOhmYjPHMSl1DWdUuDPrh815HShroiyzLxETNwlZ/kNKqHSNuM9gMFLDFldtxhMVjicrAKZv7uKuijlUgGA9CvAoEAgFQ42jm2bPbefbs9n5OZ1qElbSI/qNL3Z5uahzNXjHraKK6q8n//w3Otn5xdAORkbDqo0g2xJLSK1KTDd7LJEMM4ZqwQY8JpRNcXbsfe1cVEhosURneiKyq4IfAS5KEUR/DaOZooM4rnDuFX1q1gy5HMyZj/JSVD0iSRFxMHo6weCrba6iMuZpqjR6NRusXqyDqWAWC8SDEq0AgEAygsKOawo5qHi9+h4XRmeRGpvqFZpIhllidmQxTAhlDzLN3Kz3U9grbzh6n//YfXfQVUgyxJBoshMnD/9Pb5OqgxuEVw9VdTRS2V3G4tSxkNbg9nh4A4ixziDQlYi+tp/SJHd7T/EEWghEGK7NS1xBhsA75d189rMYYjiFl9EYxSZIwGryJBGXVH2M0xEyJ+6oADZpkJKA28XI08d14ih5F6Swj2pJHnDUHzXkwSlYgmK6ETLy+u+HhUD21QCAQBISiKhxsKeFgS0m/2w2acJJ6HVOvqO11UI2xxOkiSY+IJz2ifyf8yrg5/v9vdLVj63Vrqx1Nvf/fRI2jOWjxVsGi2xcjpnrFqk9AZt596YTzXQfS6Wjg7AhjYu2l9ZT9+WPQyEhyYMLZZIwnO209pZUf09JWToTBOukDBHxJAVrVTabrOEalA9UST51ST13VW5S5CkI2SlYwM7jQNZZwXgUCgWCMODxuSu21lNprB/1NJ4f5hezy2FyuTF4KwH8ee84vWF1K91QveVx4PB66XN662rDwCP/tkiRhSLFMyil4FRWHs2XIU/w+4Zx197qAhbOv/tTpbqfCtht3jz2owtEnWh0DkgLSXKeIURrOlQSYEjAZrUiSNOWjZAWCC42QidcrPnooVE8tEAgEk4ZL6aass46yzjp2N5z0i9fdDSdDvLKxU127n06HjShTOhnJKyb9+UZr2hpvyoEkSaQmLMXdbQ/KBKyh4q2AURuvBo2SVSE+Nn9Ko7wEFzah1lZT5fgK51UgEAgEQ+LxeAAwGZLQaDTeG1XAozAZI+QlScKgs6AOk/fqrG7F0+nCWd1KVM7IzVoD8QnHMG3EuCdgDeWy+tICjKo9oMargQK2oeU02WkbpizKSyC4EBDiVSAQCASD8Hg8tHVWea/0qS91VLfQ0+nCUd1CZM7UTK7yYUixoI3QBdSsNRTjjc8aKFphdJd1tHX4RslW1e0f1zQugWAmI8SrQCAQCAbhjciqJsqUTnrScv/t+pRoNBE69Ckj56yOl+GGFSiKQuvhCgjTBNysNRRjaeDqmxrQV7QG6rKOhCzLpCUtQ6+L9A8zcLraSE1cJupgBYJREOJVIBAIBIMYsmSAXnGpkSfNIRyu7rVh1xkqntlD2q2rJpRy0L+Baw9IDKp/9TmtLQNTA4IgWodaC0BJxYdU1OzB3dMpGrkEglEQ4lUgEAgE/RiuZACY1JpXGL7u1ZBsQWsMx7IoY8LC2dfApapqv/pXJGlATSuDUwOCjE/AGnQWahuP+xu5stKEgBUIhkOIV4FAIBD0Y7iSAQhNzauqqjhsLaiyRLAUpK/+tabhEKVVO3GEx2OInkeZbj4QvPKAQJAkCbMpARWVxpZT1DYeAUlEaQkEwyHEq0AgEAj6MVzJAIA+ORqNPgx98uTUvEJvJJaq+J1Xe2k9ZU98DBDUcoUIYzyZc+6k3aOlMnI1Gq2OLNdxjGpnSEa2miMSmJ+zWTiwAsEoCPEqEAgEgoBx2lrxOLtx2lqJyh1bXFWguNxteDwu2joqiTQljms4wWioQKM2hbKI+ahqD1Lxo6hdNpymKKwJS5FCIBiHcmC7PQ5yM64c9CNCIJjJCPEqEAgEgn6ovQWt6hCFrZOdNgAQZ8nF4WqjpuEwlqgM/+2G1IlP9eobe1XaW9ea5T6FITqOVqmTCtseJAY3cU0lPge2sm4fTS2FnOxxkp99nRCwAkEvQrwKBAKBoB9Ol73fpaIoNDYXehu56qpRFA9NzWU46lu8D5DAoLPgdLV6XVIZ4mPmjPt0tyzLWCIzqGk4hKIoOKtbhxxaECjDTcTK7H/6syIAACAASURBVFvXGpGAyWAFCWrqveNbUxOWhuSUvc+BzTN8kZMlLto6KjhZ8qoQsAJBL0K8CgQCgaAfXc56AJrbz1ByNgKHu5nWjhLvHwuBLrCd+KzfEUQjh+FRuv3X3W47ujAzKipGQ8yYR6D66l67ypopf2IXMPZ617FOxJJlmbTEZQDeGC1C68BqNBrys6/jZPGrtHVUcKL4VebNFgJWIBDiVSAQCAT9WJC7hYMnn8SjuKhp2geALGlJti6lI6qeNkqJi51HdFqq9wEDnFdndzvVdfvxKC4ANBodWSnrQQarJS8gN9PpasXjceHqaQfGV+9qlyM5oV/pF6yBTMTyxWhB6B1Y8ArY9OTVHC+spt1eQVnVx2SnrxeTuAQzGiFeBQKBQNAPnU7H0vl3U1z+HuHaKGSNhpjoWUSaEml31HLSUEnS3AVExfdv2IrCe11VVWKjMulyNONwtWFrOEhp1Ud4FDcd9hpMEYmjlhXow6ORJS1qg3d7Y6l39TmuXZIJUMl0ncDqsQWcHjCSA9sDnAybR5ecwEWujzAGuM2JEGlKJCVxGVW1e6ltPEp8TD6R5qkdzSsQnE8I8SoQCASCQYSFhTF39tWDbvelDbQeriAyJ3FIQemr2TSbErxC1pKJqqjUNZ/wZpg2HsHeWUt8bP6w5QQOVwtKdQ81Ww8gSZqAhOvAMgGArDEK176vYaADm5ywlKOGlXRpvVO/jrCBVa6PxrjlsSNJEulJK+jqaqK5vYjaxuOYTWMrwxAILiSEeBUIBAJBwBhSLWgidFRv20fM4lmYZyeMeH9JkvwjXk0R8URFpNBqr6K28QgNLadJiV9CdGTGIBErS15XVlUVsu7eMGLJwFCiNRhDBgY6sB0R8+kyn1tHWs/pcW55fGsxGGKhvYj65mMkxs0X7qtgxiKSjwUCgUAQMObsBFKuX4LS1U1XVfOo93e73Rz7/jbcbjeyLBMfN4fZ6RtIT7oYVVGoqNnDiaK/U990ul+igCUqG73dgurx4IpsH9ZlVIBKbTYn9Sso081jlusE+c7PiPfYMAdh0IDPgU1NXk2LNgHfiK/o7kqSPbYJbn1spCctxxyRBkBzW9mUPrdAcD4hxKtAIBAIAkaSJMKtZgAcdW0jRlipqsrB7zxH26EKDn/vJf/tsiyTlrSMBbmbSYi9CI/STUnlhxRXbPdP96o6sg/nqy0gy1giZw29faBKm02Fbi6J7tKgita+yLKMPnUTWC/13tDjwNT4EdIE4rvGg0ajITys9713tU/pcwsE5xOibEAgEAgEY8KYFoPGpMP28n5il2QOWzrQVlRDz1lvFqy7uKHf33x1sRFGK7pwM5U1e6lrPILT2YIpIplOeysAkTdlDNp+3zKBmvBZpLtOkdpTMmlujAI0aBLxua5Ub6W2+hWMaWuxWvKmtPbU3d3V71IgmIkI8SoQCASCMeErHaj42x6aD5Zhyo4fJOBUVaX6lQP+64aVGQM3A5xzYaPN6Zy1fUKbvYK29go4DEigxHT7tz1UbetYkwTGQ6MmmbawFACs7hISDQqu1LWUVX6C09U+tVFa6oBLgWAGIsSrQCAQCMaEJEmEx3tPX1e9+Dkxiwe7r+3FtbTuO+u/Lre58Xg8QwbsS5JEpDmRebOvp7RyB3Xbj8JHwHqInz930hqyAkEBmmWL/7pFaSUqIgHVGI/T3T7lwwzCtIZ+lwLBTESIV4FAIBCMmfi1c7CfrqX2zSPUfnCciCyr331UFIXqlw+iunqwXDybng4nHUerqN62n/QtK4bdpkajYXbGBoyL4il7+yMSVy8mMS5/0LCBqRCt4DU3K7XZNIZnAhIJ7lLiepu0+kZp1TYcRRduxqiPwWQc7EIHbT2qSrfH4X9+gWCmIhq2BAKBQDBmZFkmfmM+siGMujeP0rDzDOAVWFXb9tH8SSFSuIa0G5cRucA7icujKAFtO6wtjDCDgfi4XDq10f2GDUxGQ9Zw2OVIKsNzAAlZ7SHRU9nvoOmL0pqVeglllbs4UfwK9q76SVtPu72Wjs6zAEiyEK+CmYtwXgUCgUAwLszZCcStn0v9W0ep/eA4uuQonLZWqrbtRzaGkf2NL2CenUBnZRMA+vjIUbfZUVJHyeM7SPrOTThzF1Cmmw+Mf9jAROiUTCBpkdQeslxHMCmDO/wlScJqyQMVyqp20uXwxodNhgNb23gcAH24hdnpG4K6bYFgOiHEq0AgEAjGhSRJZN+zDldNK22HKjj+4EuACj0q6V+7mPi1c5AkyesSStD8eSnxl84Zsu4VvK5ty6EKPEtWULNsM7JOO6VlAn1RgFZ/ratChGof9vklScIakwcSlFXuAlQyg5xE4PF4aGmrBEAXbkGrFYdvwcxFfPsFAoFAMG40Gg35P7iOEz98lfbDFQDEXTmP1BuX+oVb/No5tHxeRtOuQqqzD5C+efmQ22ovradak4X8r9eRpZ7G6OycctHqo0GT7K91TXMXD+m69sXnwBp0FroczZRW7AQVrDHBEbBVtfvo8bQBEBOdNeHtCQTTGVHzKhAIBIIJIcsy5nlJ/uuO0qZ+wwtkWSZ66SzA6yAONdhABRqsC/j/7d1pcFznfef773N6QwMNkADYAImNQIOLKFILtThaTFn0ksRjxbFH8vjOtexUOSMlk/tiairJLL6TmUlqZu6tqdxbeTF1k5FjzR1bqVsZW3E0kuwssjba9CaJorhJlAGQ2AigiYUgCKAb3ee5L7pPswE0QIBAo9Hg71PlQrPRfc5pyBR++p//83/c//UrNEydp8G9tGG9rQu5wIgvs5vW9rl+WlJdK7oObyvcynAdGJee/jeJj3+w7EYOK7oe12X0ykUAqsMt7IoeXNPxRMqdwquIiNw0ay3xNz9g6MWTmXt5PsO180Oc+fd/ndstC6CqrR5fJMSl777NVNf1RU0WuOrUMOLsYjiyD/MX3yQaP1WS0OoZyZ/rmh5e9S/KSGUDB/d8no7sLNi+oZ/jrnCxWsHrGX2f6ZnMlIPq6uaNmykrsknpb4CIiNy0qe4Rur/+OgB7/9mv0vnPPgV+h8l3e+n58zdyVUdvYwN3eo7p/rFcaI37mjhb8Ut0m/3YP/kvNKe7qIk1lO4DAbMmDBhq5/qJZkdjrYZXgY3W7WdXw530Dh6nf/itm6rAWmuJj38IQGVFA7ublh41JnKrUM+riIjcFNd1GX/nIjiGzt98lOgj+wFIjEzS/9xPGPr+SaIfP8C2vbswxrD9nt0MvvAO08NXiDu76KnITBJoT5wm8dYZBt7+MfWf/YclnWGaAsZ8mQ0XqtzJNVV48mfBXho5CbDq3bgmp4a4crUbgMpwdMnFbiK3ElVeRURk1bx5rr3f+hG7Hrub6COZhUnGGNq+8EvU3N0Gabj4zR/lbplXdzay63P3MjAQosvspz1xhttnf0r4/Ltc+pPniT39KJHO0lZdewIHmfbXU5UapTXVtebjebNgdzXcdVMV2JHLZwGoCNZrPJZIlsKriIis2lT3CIMvnMBXGaTunvZ51VLHcWj78oMQ8DH5bh/xNz/IbPHq20bizvvgt/8prgvh9FWq3UmwFptOE26uLWnV1c3+D6AxdYH1qnF6Fdi2poe4NHJyxT2w1lpS6RQAdTWdGo8lkqW/CSIisirz2gX+6ScKVku37d1FwydvZ+T7p5gemiDua6IndBAOQ83L/4PJF44x8/l9RI7sY+JELzim5Fuexn1NxIMxwK57ZcerwAL0Dh7HWkvdtvZlNzOYnBpi9Eqm8mp8qjWJeBReRURkxTLtAm/R+9xx2p58KNcusJAxBn9tGIDJQ0eIhw7kNhxwWxOciw8wM9TA8Bvn6H3uOK1fepBICRdqucBkdlOChmQPDTexUOtG8ntgB4dPMDjyDp2tR5ecBTt8+QwAlRWNtO0qPBtX5Fak/5QTEZEV8cZiDb54gtYvPThvI4JCkmPT8MUvcvX+X2Fn8gIN6UGq3UlqOhtp+ty99P/Fjxn/2QV8VYtbDzZa3NfEcLADsNS440X75ehVYGOtHwOgq+814mOFZ8F6o8bCoXot1BLJo/AqIiI35AXXrmdew6Zd6u5tX3LVvDcGK3XvA/DZz1L987+dN+jfGMP2w204FQHGfnieps/dU9KFWi6QMGGMTYFNE7ZTRT2ft51sZ+tRYPkAKyKLKbyKiMgN5c9z7Xz6aMFb/Atnt1554DPw9a8TOfXGol821Z2NND1+b+Z9JQ5tcV8TvaEDhNOTYHzMmkjRz7kwwP6i91X6Lq1tMwORW4XCq4iILGveAq2njy7Z5zrl1HCm4gF6QgdpT5xh27f/DF5/ndTY9KLXGmOoaNwGwOB33pq369ZGul51TTPtr2NnsuemNia4GfkB1hjovfQjuvtfV4AVuQGFVxERWVb82Af0Pnd83jzXfF7FddpEAEtH4gz1yT6S75wCIFBXteiY1loMBlPhx51NMfTK6ZKENq/qGp3rxbEpoum+Df3F6AXYg3v+IY31dzIUP0l3XybAWjIVae+riGRo2oCIiCzJdV0SI1eXXFRl4foYLCCWOMOO1ADdf/4G06cHMQEf9fd1LDruVPcIF/7bD4n9zse5dn6YoZdPEqqvpvWJ+zds4ZZXdfXZJEE7i2v8zJoI25jckPN7jDHURHZiMMTHzjJ0+SRzqRnmkkkA5lIzG3o9IpudwquIiBR0fRet47Q++dC8RVWWTJvAjIlwIW8MVsSd5Oovhhn6m/cAaP7i/dTs2Vnw2Dadpqq1nsaPHSBYF2Hgu29Re3g31XsaN+TzeVXX1sQ5gnYGn52josiLtZYTqWqgs+2TdPW+wujE+dzzNq3Kq0g+hVcRESloqV20vGprd+gQJtsmEE0PYsiMd7rwzR9CylL30X20feGXFldrrWVmYDy3UMtxHEIN1aSvJRh65TRVseiSkwzWS37VNWRn6Ml+llL20hljaKi/jYrQdn5x8e+ZSYwCMD07WsKrEtl81PMqIiIFua6LTbt0/NbRXNX1enA9iIVFwfXsH/41k+/2se1wG/t/71cLhtCp7hF6vv4GQC7YRo/sZ+c/uIvh771H//NvFX0CgVd1bUp2ZUdjGToSp4m4G9sysJAxhm3Vu7hz/z/OPedSumqwyGakyquIiCziui7xV8+RnkpkAqgxXM1rE+jIaxPAWia7hhn4q7e5cqKXbYfbuP3ffW7JwfpeMI099Whu5JbjOMSeenRD2gcsYAC/TVLnxpk2EdImANnnN4NAIMDd+5/i1Iff5I69Xyn15YhsKgqvIiKySPzYBwx97ySNn7mT+iP7lmwTcF2Xvu/8jMHvvEV6Zo76I/vY97u/uqIdocIttfNaCjaqfeCqU0N36BDt2Uqr64DPpkra71pIJBLhwcO/U+rLENl0FF5FRGSRil3b8YUCRD9+O6OBllybQGxBm8D5/+tvGD2WWVy087G7iD316JoCZ/TIfq6+f4mhl09ijFnz8QqZMRFSJoghU2mdNRHSJZo0ICKrp/AqIiKLTA+Mk25qY8RtZGKZNoHRY+epfXgP0Qf3suPIvhsGTWstswMTGJ9TcCSW1z4AMPTySYJ1kXUdn5W/UKvSTmHJtBGUetKAiKycwquIiMxjgau7boP//DSXw372JM7NaxPof/7nDPzV26SnEqtqE4DsYq1nj9H+1SMFt5iF+f2vgy+eoKKhZsldvVYrfzxWxJ1kyqmhJ3RHyScNiMjKKbyKiEiON03g8sF9MJNix5lXid7m5KqtIz84y9DLJ3HCAdq+8jAtj9+3qtv63nzXcHPtsmHUcRxq79nN4Avv0PXMawBrDrALF2oZyC3WasuGWRHZ/BReRUQEyNxS7/d3MhRsZ8c7f8/In71E9a/vwe67bV61tfEzd7Lzk4eIdDYUdTesSKyB2FOP0vXMa3Q98xrhllqqOwtPIJgB3g49CoS5PfF96gq8ZuFCLYAKO4XPptiWDbMisvnpLomIyC3Okgl2/f5OekMH2Jm8QPWl96GrCzed5oM//j693zqOdV3avvIwnU8fpXpPY9G3cTXGEH1kP51PH8X4HMbevoDrugVfezr0KPirwe/nbOjTBV+zcKEWzF+sJSLlQZVXEZFbmFdtvRSMYYG2xDlaUl0MZ2exDn//FNPnh6n76F5aH79/TdXWGy3WKsQLsLMjk/Q+9yPmxq8VnEBwKPE6b/Np8PvJ1GEXf878hVqAFmuJlCmFVxGRW5SFXLW1NXGOOjdOxJ3Eui7jP+8BYPr8MPUf3ce+31v5oqylrGSxViHGGFoev4/k2BRDL58EWBRgw0AmtFYXPMbChVqAFmuJlCmFVxGRW4wlE9xmTIRLwfZctdVYy9WuYUZeOcvYDz/MNJa54FSH1mXWquu6uMk5Kpq2r7p6u5IRWhVMM0s1FUzPe2+hhVqgxVoi5UrhVUTkFuJNE1i4W5Z1XXrzdspyKvw0PX4f/d/+GaNvvs/IwWYaHrltTX2uswMTpK8lmB2YYNveXat+/3IjtNKAJQRAyM7Ne1+hhVrezwIgaGe0WEukjCi8iojcAvKrrQt3y7KuS9czrzH88nsAuWkCVbEojs9H7zd/RNd/eQVgTQG2sqWOQE2YypZCswBWZqkRWhcCe0j4twOwIz087z2FFmp5wdVn5wir31WkrCi8iohscYWqrd5uWdZ1+cV/fZWR750CMsG18+mjuTaBXK/pSyfXHGCrYlE6nn6Uqlh0TZ9n4QgtgKlPHQYgkBqlMT2Ye21+y0BlXkhVv6tI+dLfWRGRLcwF+vyduWprR+IMDelBqt1JDDD0+tlccK396N55wRWu36rf+dhduLMpuv6fH9D77Z9x9RfDWGsLnnMp13riXPjGMa71xNf0mfJHaAF0feMNrg1lJgxU2Jl5v9iWahnw+l2bkl3qdxUpM6q8iohsQV6bwLgTXTRNIL9mOvyDs5kHAYfGX7uzYEX1eq9pFQN/9TZ93zpO///4KS3/6CPU3dOxovFZ1lpm+sexrC7wLsULsOGWWvp7Eow2tgNQ4SaunxOYcKKkTBCH+S0DMyYzn0D9riLlR+FVRGSLWWp2a6FbbU44kHkw5/L+//5dGj51kEBdFRUNNQAk4lepvWc3NXt20vrER9h+eDcjr2S2iO371o/p+8ufsvOX76Djn3xs2VFaNzsmaznGGKo7GzH7b4dgEM6fx770p7jZMVpXnRoGg520JM6xI6+VYMqpYTC4B5+dm9dKICLlQeFVRGSLWGm1Nd/t//Ixzv/ff8P04DiJ7lFGvn9q0WsGn3+LlifuJxjNzFCt3NdAfeogs4MTXDs1wNBLJ7l6MU51W5T2f/IIfv/iXy3WWmw6Tbi5dv135soez3/1EpdfPkllXYTt9+xmYn+MlAlSuaCVYNpEcLMjsqrVMiBSdhReRUTKnBdap02EntAhwC5bbc0XCAQ4+C9/Ddd1ib/5ATNDE1jIVV6vfnCJ+Gvn6P3W8SWP4asLc+3UINdODTL08kn2P/sk0ejaFmWtRsDOAlB/cAehLz/M4Isn6H9vAvOf/hdaE2fnVV3TwGVfI6CWAZFyVbLw+rcf/w+lOrWIyJbhtQgMBjtz3aSd2RFYqwlmjuPQ+OiBRc/vPHo7uz51B9P9Y4sWaM2OXGHg2z8nPTZ/O9YPvvoc0Rf/+eo+yBrMmQoA0k6Y1ifuJ9RQw4dn0zA7R+LN1+FoCzgOFugJHGQ80EL9XD8NeaFWtgZli1uDKq8iImXIJTP+KmHC9IYO4LNzxBKnciOw1quiaIyhek8j1XsaF33PWkv9vTGu9Y0yMzzB5MBlrr7exf5nnyx4HMfvW/+WAcDrtJ1y6kgbQ/jR+/F94n7SM0lGXnqXirEhau/ZjbtnD0OBNhw7R9MKqtIisjmVLLz+yqv/plSnFhEpS15grbBTxH2tDAU78Nnkinpbi6FgsP3dwq+t6ojS/tUjVHWsfztBx9wZRp06Zv3bOe8epN4dh6Cf1qGfYB9sZPDFE/S+8A7Bb/xXqPQTTXZTo17XLUWZYnPYqMq3Kq8iIpuYJTOrdNpEmHJqs4E1Rdr4aUz2sDPdt+Gh9WZ4M17DzbVUdy6u4q6FH6ixU4yxnQlnF5OBZgDqGvxUfeEj2L17Gai7j2RdC6GxPqL9r0KsIbfQS0TKi8KriMgm4gLD2XaAkJ1hzoQZCO4hbTIjrRqTPTSk+0iYCDvSg2Vx63u9Z7wWsjd5grdNLSl/FS6WYGqMXl8r1t/JxMM7wfjh7BkSX/t93jeG2FOPEn1kf1HaGESkuBReRURKZA44HTzMrIlQZaeocidJODWMBZrJH6nv2DlaEueotDN5gbV8bnsXY8brQgFg39xbnPU/DPhJ+utJUp/7fk1qiLbUj0k89SjdX3+drmdeY3bkCi2P3z9vRzER2fwUXkVESuR88DDXAi0ATLL9ehy1KRrmeql2x3Fg3RdhbbSiznjNM2cigI9AaoKQnSJokzhA2M7SkurC19mIjWV2A+v60x9kx38Zau/ZTSR2413CRGRzUHgVESmRqewWpaTmqLHDVLmT+IFaN051GYfVhYo5acBjydSq/TbJ7XMnl9x8ILetbHMtY+9cYPDFEwy+8A5Nv35YVViRMqHwKiJSIiE7wxzgZ5JDyRNl0b96M4o5aQAywTXua6I7dJCOxGkiN5gk4E1JiHQ2EG7clqvCJseu0fCJ2zNbzqoKK7JpKbyKiJRIND3MVKCZlL+ekVQTO7fo0PxiThqAzO5i3aFDWDItFiuNnflV2KFXTjP00knir79P7LePUtlSp1YCkU1K4VVEpER2pQe5nGrhqr+RSad2y4ZXay1uOk3aWoZ9TcyYMBaoc+PUrLE9wgXGnShg6UycuWHVdSGvClsVixKqr6b/u2/R/czrGGPUSiCySSm8ioiUiANUp0e56m/Eb2dLfTnFYwzunj1caHuUqYq9uacHbYpodmFa402M/bJktsbtDR2gLXFu1Vvi5nMch9Yn7qf2nt1M943R/WevqpVAZJNSeBURKSGz4OtWY4Fre+/G/T9+gyl/ALDUzg1ggYlACyPBGCNYriVribjjNKwwxHp9roPBGK2Jc7Skutb8MzTGUN3ZSCTWQGVL3bxWgubP38v2e3YrxIpsAgqvIiIlFLIz875uJRYY8TXRFbgTfAEqJ3vZFYzTmG2PiKeHueLUMhLIbHULHUwla2lI991w2kJ+n2udG1/XxW6LWgm+8zN6v3Wcge++rRArsgkovIqIlFAyOy7L+7qVXHVq6A7dmdnd6o3X6Nj+C2r37Mx9vzE9SEN6kF3pPsacKP3BvQwFO4jbFnbM9RObO4OvwHHX2ue6UrlWgsO7GXvnAgPP/1whVmQTUHgVESmhTMXVbrnKqwuM+FpJGz+18dNc+ZM/xvfvP7fodQaodieJuJPUufFsiN3HcDBGygRpTnXNq8KuZ5/rSuSP1aq7p10hVmQTUHgVESkRCySyFdetFHu8gDkU7MCxKerGP+TqDd6TH2Jr3Tj9/k5GA81M+BtyVViH9e9zXallQ+x3fk7TE/fR+sRHNJlAZAMovIqIlMiUU8NAcO+NX1hmppwaBoOd+OwcscQpwrNjK95hywA17iS3JU/Q707Sl1eFrU0P0xM6BKx/n+tKLQyxQ6+cZvjl9+j71o+ZG58msm8nla11qsSKFJHCq4hIiUybCNb42ZnsoWELzXh1AYuhI3Eq87liDRz4g88CmZmvKwl1DtCa6mJ7XhV2zL8Ti6Ul+SFVRepzXan8RV3bDjQzcbafoZdOAifxhQM0PX4ftfe2K8SKFIHub4iIlIALXHFqAYi441vmX8YuEPe1kjYBHDKVVC+8nfuj/8lU98iKj+VVYZtTXWDTWOMDE+BScC9xXxO2GB9glRzHoeFjt7Hntz7Ovt/7NA3/4A7SM3P0PfdjznztO1z8y59w4S9/QjqdLvWlimwZqryKiGwwryd0JNiBz6aotFOlvqR1kd/r2pjsYUdeNdnbZcva1UXOTMiP4iNFU+I8SVPBcLCDrtAdJJJhWlJdmyL4eyF2x5F9bL+9hYmz/Yx87xT9f/ETAK6eGaD+Y/tJXp6i9Yn78fkKzVEQkZVQeBUR2UDe7NO+bK9rU/JDqkt8C3y95Pe67kz3rSlU2uzxxpwofdnJAq2pLiwQsrP0B/fQGzpA0lSsaC7sRlkYYtPpNCOvnuXKiV6unOgFYPL0AJHbdzI3Pk3jJw+ybe8utRaIrILCq4jIBskN7Q/dmet1bd3AFfPFNH/26uk1zV71ds/qCh3CYGnLmyxgyPTC1rpxhnytubmwnYlTRR+btRpeiAVo+NhtDPzV26RScwz+5c+ZfLeXyXczQTb+92eJ3N5E9cEm2r/4gCqyIiug8CoisgHyg6ubDa7e+KetIO5rojd0gNYlZq8aY244ccCrtk6bCBdCBzFALHFm0fG8sVpV7plsFbaTrtAd2AQ0bKIA6/H5fLR94SNYa9lxXyfj71wg7aYZ+2kPs11xpt7rZ+q9fmZ7RznwLx7TuC2RG1B4FREpImst705N0efvpD+4Z0sGV5fMvFqfTVLnxguGx6qOKO1fPUJVR7TgMRZWW2OJM4TtFJFl2gG8iQQAvaEDm64PdiFjDDV7d1KzN7PL2O5/9AB93/kZAy+dwE4kGP9RF8NvnGPX0YMlvlKRzW0z/v0WESl7LjDsa+Lbly/za+fP0xs6AEBb4tyWCq75O141J7uWbBeYvnCZi//9R1z+4fl5i7YsmW1kR3xN9Cyotq6kj9UALaku2hLngEyI7Q4cxF2PD1dkPp+P9i8+yEeefQp/fSUAoz/pKvFViWx+qryKiKyDzIioJsJ2KltFzPRj/vOLF/EBrYlz1LnxZSuJ5carlq5kx6uqjihtX3mInm8cI9xcS3Vn401VWwvxKrD5fbBzJsi+5AnKoYM0EAiw7d52Rv/uLL5IqNSXI7LpKbyKiKyCVymcMZFcUJ01ERImTG/oAH47hwXSJkBjVksl5wAAE45JREFUsofn7870MP7+T/96y4RWz5RTQ3foEJYb73hljCHcXIubTnOtog6b/Rku19u6Gvl9sCkTZDTQwnlgf/JEWVS5Q/WReV9FZGkKryIiC3gLh2z28Ww2qJJ93B06RMoE5wVVn03SmjhHrRvHAgkTYUd6kMPV/xhgVaEs//zee6vcSa7lPceC7007NVRtYFV3/nSBMzecLmCBa+F60p9/nO6OX8Hx+zFYOm6y2roUB9iXPMF5YDTQTLdNlkWbhreQTSOzRG5M4VVEbmmFgqoBekIHsRgshrQJ4LdzkH2mPXEaA/Mqr5WLAtiNR0UtDKkeryJps0dzsLQnznAhdBB3QcTzvncxdIDdiXNU5G14UCj0GlhzUHSB7sBBhoIdtC2YLrDsZ4rdDp1Baj/8Ic1tmW1ii9FG4SNTce22SYaCHQCbP8B6oVXhVeSGFF5F5JaTf+u/cFBN0pE4PS+cepXXQuFv2wqCKmRC32VfEyE7hWFxSPV4FcmKvHNWuZOEZ6eWrLySuP45PIVCb361c6lqbv5xF34/v5+3fm6AGjfOVacm9/3lPlMscZrJc5cY+8/P0vq1x4jEGlb0c7sZDtCQ7iNuW8siwIai1fO+isjSFF5F5JawMLBev/W/OKgurKKuNJwW4rouz4+NccWpYSK7W5TPzmWj8vyQ6lmqOrrcTlzR9OCicFso9M6YSG5V/1LVXCgcfC3g4mCNH2yacX+UK/75o69u9Jmie1y2feUhKtt3LPlZ1ku1O8mh2eO5RVyweQNs8vLUvK8isjSFVxHZspYLrN6t//UMqh6vwpoGfrenh2dGR6HiIQyWaLKHanc8t1tUxTIV3dXwFiwVkv98NZNUzmbOuVQ11zte/vctMOFEGQjuwdg5YolTVNrFQetGn2OqJ86FvIkDxZS/iMsAQ8EOgnZ2U+5qpsqryMopvIrIluOF1gknymCw84aBdT3PO+nUcCFwG1f9mVviXaOjVBrDLAbX+BkLtDBO86L3Giy7kt1syw75X4/e1EIWhtzlqrne910ys1wvBWM42dv/a5kMYLHM9I8TiTVsyAKl6y0ELfQHOwE23UYGWrAlsnIKryKyZRQKrS2Jc4TtTNECa/65L/ma6A7dBcZPpv5q+K0dO/hyNMrvvP2nzJgIFdl+14XGnSi9oQP47J6CLQXFCrPL8RZfjWXbHdqy0xTWch2RWAPtXz1Cz7PHCLcUv/rqqXYn6Uycoit0B72hAyRNxaZtIRCR5Sm8isiW4FUHB4J7SJsALYlzVNoZdqQHixpQvBYBF+iuOAw4BFNX2Tv3DkkT4Y/bfxvHcahxJ6lZpiUh4k4StjPzFnPlL8DKD7MbEWQXbiDQlt2EYK0/S2/eq02n5+20VWyG633BXg/sZm0hEJHlKbyKSNnLH93k2Ll1C1rLWViVdGwKMIRTo9yZOE4AgEkcZ2VXkbm1PZj7s9ebunChlcUUNcjmf65Lwdi6bCCwkDEG43OYHZigurNxw26Vey0Tlj4uZ1sIKuzMun62tZodmcRaq/YBkWUovIpI2fLaBEaylbTGZA87030lqUqmgYHQAZpTF7LBdW0W9abmhdmlguyMiRC9iUqzF1inTQQLXMgubFuPNoFCStU64LneQnCIrtAdhGenbtj7W2yVrXX4IiEGX3iH+vs6NvxnIlJOFF5FpCwtbBPYmewpeg9jfshbuK3psK+piGeeH2YLB1mHlAmQSITZ7sYXvb9Qv6333KyJ0JM3iSGWOI2FmwrCK/osxlDZUgcbvHArd34yn202mdnSd8jXSpVb2v7X6s5GYr91lO4/exXrblw7hUg5UngVkbKz0W0C+aG1O1ttjS3Y1tSLXkkTxub9uRiWCrLjTpTBYIxBOhe9I2UCufmyC59zcHOBNWwzVchiR8lIrIGO33yEi988TmVrXVE3LCjEkJk4kDQVDAU7Mv8hUsIFXF54T08nmRkYp2bvzhJdicjmp/AqImXnsq8pG1xTdCZO0VDEnsX8FgFgyR7QSjuFY+cYCO5huxunZoNuQ88Lsu4kdW684NzW5SqvDhs/ycAYw46P7gPYkA0LCnHIBFbIzICdM0H2JU/gK8nVkFnAZtnQhWwi5UjhVUTKShqI+zL9gM3JD4saXL3WhMHswqWOxOklR25F3Emak7+gL3SAGRNZdrJAsSy3UUGh6ynFNea7toEbFizFC7BzJshooIXzwP7kCY3QEtnEFF5FpGxYoCdwkPFAC/Vz/UUbc3Qz800NUOfGGbSdJEwYFxSAbsBai7vBI7MKcYB9yROcB0YDzXTbZElaCMLNtfjCAcLNtRt8ZpHyovAqImVj0qlhKNAGWLanh4sSLtYy3zRTfe2aNwRflmaMwfH7NsVYKB+Zimu3TTIU7AA2vgd2dnCC9Owcs4MTbNu3awPPLFJeFF5FpGyM+FrB+KlJDdOYNxN1PSxclAWrn2+6cBFQ0M5qZucyIrEGDvzBZwE2xc+p1D2w6nkVWRnd1RKRsuGzswAk8eOu0zGvz4pt4nTFA9lpAtCZOH1Tw+u9ANSaOMdgMMa3R0cVRpbghdVzf/Q/meoeKfHVZHj//OrnBjI9sMHD6/b/tRtR24DIyqjyKiJlY3eqi0lfI1P+et7jIe5KHL/pqlihSuuNFmWtlEO2/5VOfv/ixdz5VH8tzJZo3utSCvXANqT7ij5CTG0DIiuj8CoiZcMHNKQuMOWvZ9pfz1k+QiQ9Sluqa0UhduFOUj3rHFrzRdxJOhOnGQ8+wL++eJGgv7PoW9aWo1LvtrWUhT2wcdtCc/IXRf1nWNG0HV9FgIqm7UU6g8jWoPAqImVlZ3oQ3ywM+Vu44m/kir+RWaeG2vRw7jXh7K5RNu9xhZ1iwokyGOwkbYK5gf3rHVo93i5O/23fPl65coV/1z+HJVOR3eiZqptZqXfbWo7XQhC0s/QH9+QW4hWjCuu6LiOvniWdmGP2kiqvIstReBWRsuIAjelBdqQHGUh3MunUMBpoZjTQnHuNz6ZIG/+8x97XtsQ5QnZmQ4bzG+DuSIQ7Kyv5RtffcSkY4xIxmpLdqsLm8Xbb6vl/f8jsyCQtj9+H42yOn44DtKa6qHXjDPlas1XYVmKJ99Z1xvDlY+cZfvk9dj52F9Ej+9fpqCJbk8KriJQlH9CW6sIFLqeH5y2qWaryOmsiRNODGx4aHcfJBaBxJ0pv6ICqsHmMMUSP7Gd2eJLe544D0PrE/ZumAutt/lDlnsGQmUTQFbqDRDLMdje+LlXY0K5t+MIBokcPbJrgLrJZKbyKSFlzgIYCY7O25e0e5T3eVsIdpa4HoMw1XArGGCJGe+JMUdoWyo0xhpbH7wNg6G/eo6KxhuiR/ZsmwELhNoIBu5em5Ie0rrGSrsVaIiun8CoisoHyb0PPmAg9oYNYUCsB2Qr1E/dT0VjDhf/+I4BNGWDz2wiGgx30hQ4w6aunMj3KNVNB0qnjUOIYFas4rhZriaycwquIyAbzqrARJgnPTs1rJah14xiK24u7mXktBNZauv/8TbAQfWRzBdj8NoJt7jiX8hYPet7i0xxIfJ/6FR5TlVeRlVN4FREpkUKtBJfoxGBv6XaC3AQC16Xn2TexWMLNtRhjNt00gob0INvSg7zFp7D+vFqr3885Ps1HE99f0bFUeRVZOYVXEZESy78VbYHZbDsBcMuG2EisgYN/+Hlm+sfpefYYNp3G+Bw6fvORTdVKYIGLgYPXg2tqDpgFwhxYYXC11jLxbi/pREpjskRWQOFVRGQT8KqwANXZdoKZBSE2bKdumZYCYwzVnY1EYg2EW2qx1jI7MLHpemEnnRpGAm0AVKQmuDtxbNW/WKe6Rhj867dpe/IhjckSWQGFVxGRTWZhT+z1hV3mlmsp8EIskPlq4OI3j1PZUkck1lDSa0sBHwbuAuO/6eAKMN0/RnoqQSharTFZIiug8CoiskktDLFLtRRUuZNMOzVUbfEwa4xhx0f3AVDZvqOk15ICToaOMOvfTjg1wV03GVxB/a4iq6XwKiKyyS3XUmDIhNiLoQO0Jc5t+Yrs9IXL9Ja48poGToceYmYdgqv6XUVWT+FVRKSMLKzGAplpBQkW9cd6r99KYbaqI8ptX3uMqo5oSc7vAueDh5ny1xNJjXIocXxNv0jV7yqyegqvIiJlKL8aCxBNDy7qj828zm6JxV7WWq71xKnqiJas4uoC3YGDjAaaqZ/rZ1/yBL61HM91GXrlNOlrCUIN6ncVWSmFVxGRLaBQfyxc75HNX+xVjkH2Wk+c9//TS9z2tcdKEl694DoU7MBnUzSnutYUXAEuHzvP8MvvsfOxu1R1FVkFhVcRkS1kYUW2usBir3IMslUdUfb/689grcVau6FjstJkWgVGA804NkUs8d68n/HNcF2X6aEJ/DUVNHzidlVdRVZB4VVEZAsrtNirHIOsMQZjDOf+44vs/o2HN2TOqwWuOjUM+DsZDbRQN9dPa6prXX4+l4+dp/8vfkzblx/OjQITkZVReBURuUWUe5Ct6oiy+zce3pA5rxaI+5roCt1B2gTWpcfVk6u6Vlew/XDbpthsQaScKLyKiNyCVhNkN8v4LWMM0SP7CTfXFrV9wAX6/Z0MBDuxWNoS52hJdbEeN/Zd16X7668z9L2TtD2pqqvIzVB4FRG5xd0oyMLm2Z622O0D8xdmzbEncYpoenBdPq+1lv7n32Lo5ZPs/MxdtDx+n6quIjdB4VVERHKW2xDBzUa4zsTpdQt0N6MY7QNef+uIr5WhYAeNyR52pvvWLahba4m/+QGDL56g7csP0/L4fVqkJXKTFF5FRKSgheO3pk2EntChTFtBgpK1E3jtA5UtdVS272Cqe4SqjuhNVzGvtwnsIW0C7Ez2EJs7sy5tAnA9uHY98xrGGGrv2a3gKrIGCq8iIrKs/BBbmVeJBUrWE2uMIRJrYKp75KZbCCww5dQw7kTpDR3AsXPr2t8K84MrQOypR0u2yYLIVqHwKiIiK7KwEnt9Ny9oSnava+hbqaqOKG1feYiebxwj3Fy74gVQXrV1MNgJWFoT56hz4+sawhcG186njxJ9pPgjvkS2OoVXERFZlYUh1qtcWqDWjW/ooi5jDJUtdYBlpn+cSKxh2XDokhmBlTBhekMH8Nm5ovTwuq5L//NvMfjiCUDBVWQ9KbyKiMhN8UJsVXaB16VgjEE6gY1d1BWJNdD+1SN0f+NNgIIhcXFoTRal2uq6LvFjH5AYuUrvc8dp/dKD1N3bfsNQLSIrp/AqIiJr4gCtqS5q3fiiRV0bMV4rV311XXqefROLzU0hsMZsSGi11jLVPcL4Oxfpfe44vqogbU8+pKkCIkWg8CoiImu21KIub7xWLHG6qAu7IrEGDv7h55npH6f72WO47e3s+NInMTsbGN51T1FCqxdYXdflyrt9XHrpXay1mWrrPe1EOlVtFSmGDQ2vh7btzj3+bMsDvDH8HlfmpjfyEkREpIiWHq91CLDsSnYXpy/WGOzevdh9Vew6eA8DOx9kJFABVyepe/8N6pwxGpr8OGsIk15Y9Xb38gKrm0yRvpag9cmH1CIgt6RtgUo+1nhn7s+Htu3m9JWLRTvfhobX1qpo7vH/tu8xfrPzl3m26+94of8nG3kZIiJSZAsrsRaYyC7sumT3AG4uyHqvX2mY9UZc2bw/X3GiDAY7SZkg/rYkscQpEn1XoK+fS3/yPFexmK8eIdxcu+LPYK1ldmAi8x4DswMT9Dx7DJtOY9NuLrBuP9xGYvAKO47sU4uA3HJ+veUBvtr5y1T4grnnWip3bJ3w+tPL7+ce/+zyB3xkx35+Z99jbAtU8c2eH2zkpYiIyAbI37Er4k4SsjOE7dSCIGvJr8qSfWbWRAjbqXmPgWxLwqHcOSyGtAnQkjhH2M5cb0/YAba+lrp/+1lm+sdzwXOlvIDqrwqBz8H4HNqzAdhaOz+w7t21Pj8wkTLylY5P8KWOo8D1XAfws9EPinreDQ2vY8mp3OM/eO9bPNJwiH91+xf4UsdR3hnv4vTEhY28HBER2UAO0JgeBOYHWVhYlbW5QOq3c1jIPc58LyOWOJ0LtwkTYUd6cNGcWWMM1Z2NRGINhFsyoXOlFlZevY0Rci0BCqxyCzu0vZ0vdRwl7ab5P89+mzdHTvO3H/8PwPy8VwwlXbD15shpdlc18GTHx/li2xGFVxGRW0R+kIXFYXa5yisUajOYXPZ8XohdrW0KqCIFfbHtCAD/38U3eHPk9Iaeu+TTBl7o/wlPdnycu+s68RmHtHVLfUkiIrLBFoZZgG15gXTbDcKpiGwcn3G4uy4z07kU65ZKFl690rIn6Pj53tE/KtHViIgU18J/54mIbAXfPvK1DT+nlkWKiIiISNnY8Mrrr7z6bzb6lCIiIiKyRajyKiIiIiJlQ+FVRERERMqGwquIiIiIlA2FVxEREREpGwqvIiIiIlI2FF5FREREpGwovIqIiIhI2VB4FREREZGyofAqIiIiImVD4VVEREREyobCq4iIiIiUDYVXERERESkbCq8iIiIiUjYUXkVERESkbCi8ioiIiEjZMNbalb/YmDhwsXiXIyIiIiLCbmtttNA3VhVeRURERERKSW0DIiIiIlI2FF5FREREpGwovIqIiIhI2VB4FREREZGyofAqIiIiImVD4VVEREREyobCq4iIiIiUDYVXERERESkbCq8iIiIiUjb+f25o2iQHbCCRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#### TRACKING DATA ####\n",
    "\n",
    "# READING IN TRACKING DATA\n",
    "tracking_home = mio.read_tracking_data(game_id, 'Home')\n",
    "tracking_away = mio.read_tracking_data(game_id, 'Away')\n",
    "\n",
    "# Look at the column namems\n",
    "print( tracking_home.columns )\n",
    "\n",
    "# Convert positions from metrica units to meters \n",
    "tracking_home = mio.to_metric_coordinates(tracking_home)\n",
    "tracking_away = mio.to_metric_coordinates(tracking_away)\n",
    "\n",
    "# Plot some player trajectories (players 11,1,2,3,4)\n",
    "fig,ax = mviz.plot_pitch()\n",
    "ax.plot( tracking_home['Home_11_x'].iloc[:1500], tracking_home['Home_11_y'].iloc[:1500], 'r.', MarkerSize=1)\n",
    "ax.plot( tracking_home['Home_1_x'].iloc[:1500], tracking_home['Home_1_y'].iloc[:1500], 'b.', MarkerSize=1)\n",
    "ax.plot( tracking_home['Home_2_x'].iloc[:1500], tracking_home['Home_2_y'].iloc[:1500], 'g.', MarkerSize=1)\n",
    "ax.plot( tracking_home['Home_3_x'].iloc[:1500], tracking_home['Home_3_y'].iloc[:1500], 'k.', MarkerSize=1)\n",
    "ax.plot( tracking_home['Home_4_x'].iloc[:1500], tracking_home['Home_4_y'].iloc[:1500], 'c.', MarkerSize=1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jSb6xWj7tJi2fdpN2dx7WH45v0++aXlY8nRz23xcA7IzyCmDUO301/9k4vd0K1dcMq7x6zQK9s/JK3TVpoUrdfklSNNmjutZdeq55p14+sV/pTPqv/Cm9/FVHNGvV42qrn6NQfY2SHUUyfd26556kbr89pb/bPfQpDWll1NrTqdaeTr18Yr8ea/yNLiudrhvGz9XVZbM0a8wkzRozSfdMvVFPHfqTnj76Z0VTHHoAID9QXgGMesmIR67Sk4NeY7iSSnYMPCf1zYqcHt05aaHuqLxKfpdHkrT35BE9dbhO9a271XOOuwC4A12qWFp3RoH+aP8csN3n9EdKktKZtLa2v6at7a/pUYdLtWNn6a5JCzWzuFIfqrpF75mySL868oJ+cbhOXcmBR6cBIFdQXgGMek5fTJmEU4b77B+RZxJOmb7BR2cdMnTrxLdp+bSbVOzySpJ2nHhdT76xUS+/6aP70aonndDG5p3a2LxTlwWq9DdTrlNN6VS9f+oNuq3ySv3X/t/rN8e2Djy9AQByAOUVwKgXXNiglg0L5HCHz3pNMlqo8sVbznr7JWOm6B+ql6qqqEKStP3EAT1+4A/a1XloxPNmy8vtjXq5vVGXjJmie6ct1rzSaVp58R26deLb9M196/Rq50GrIwLAiKO8Ahj1ymp3qnXTfKVi7gFX86dibjmcKZXVNrzltgKHSx+pWqLbKnu3rGru7tCa19brj627LnjubHm186A+u+0/dc3YS7RixjtUVVShr17+Ef3qyAv6buMz5zwNAgBGI8orgFHPHejS9LOs5k9GC+Vwpt6yml+SZhZX6l9mv1uV3jIl0kn95OBm/c/B53O2zP2x9VVtCe3Te6cs0numXKvbK6/SZYEqfXHXz7T35MjugQsAVnFYHQDZV+T0nPr6stLpFiYBhq5/NX/v1ACjb3GWofLFWzRr1eNvOaDgPVMW6ZHLPqJKb5kOhI9r5dZv64evP5uzxbVfTzqhH7y+QSu3fluvh4+r0lumRy77iN4zZZHV0YAL4rJA1amvT39/Q+5i5DXPfWHecv3gwAY9eXCzMizwwCg30Gr+Nys03fr0rLu0aNylkqSfHnxej7++QYk82w/1QPi4Pr7121o+dbHunnKtPjT9Zs0oqtBXdj/F0bPICYYMve+i63Tv1ButjoIso7zmoTdvpfN309+uKf5yfWX3U3n3Bo/cUl5Yon+t+YAu8pcrkuzWf7z6U70Y2mt1LMsk0kl9d/8zauh4Q5+95G4tGnepJnvH6n/v/KGauzusjgecM5fDqX+edZeuL685Yy9mtorLD0wbyHMP7PyRoske3VBeo9Xz/o6PXGBbU33leuTyFbrIX66DkRZ9fMu38rq4nu7F0F6t3PptHYq06CJ/ub56+Qpd5Cu3OhZwToqcHq2e90FdX16jSLJb/3vnj6yOhCyjvOa5P4f26dMvf0et3Z26tOQifXH+36vE5bM6FjAsl46Zoi9f9mEFC4q148Tr+uTWx3Q0FrI61qhyJNqmT2x9TDtOvK6ygmJ95bIP69IxU6yOBQxLicunL172IV1aMkWt3Z369Evf0ZbQPqtjIcsor9CB8HF98qXHdDjSqmlFE/Tlyz6sQN9RmcBod8mYKXp47r3yuzz6Y8urun/H4xyVehbRVI/u3/G4/tjyqvwujx6ee68uocDCJgJuv7582Yc1zT9ehyOt+uRLj+n1SLPVsWAByiskSW09J/Xpl7+rA11NmuQbq9XzPqgxfScQAaPVrOJJenjuvfI4C/T7pm36witPMm/7r0ikk/rCK0/qD03b5HEW6OG592pW8SSrYwGDGuPyavW8D2qSb6wOdDXp0y9/V209gx8ZjdxFecUpnYmIVm3/vg6GmzXFX66H5y5Xoem2OhYwoMnesfq3uffK6yzQs8d36Ku7n+JI1CFKK6Ov7H5Kzx3fIa+zQP82915N9o61OhYwoELTrS/MXa4p/nIdDDfrs9u/r85ExOpYsBDlFWfoTES1avv3dSzWruriifrcJe+Vw+Db5EKKtxfp2Lqr1XD/fdr2yU+p4f77dGzd1Yq3F1kdbdQKuP16eN5yFbk8+lPrLn1p988prsOUVkZf3P1z/al1l4pcHv3b3HuZLoRRx2E49LlL3qsZxRN1LNauVdu/r5OJqNWxYDFaCd6iPR7W57c/rs54RFeWzdRHpt9idaScFW6s1O7Vy9WyYYFkZOQqPSkZGbVsWKDdq5cr3FhpdcRRx+Vw6sGae1ReWKJdnYf0H6/+9IytcjB06Uxa//HqT7W787DGe0r1YM09cjnYQVGSgu1h3bluux65/2f6zief0CP3/0x3rtuuYHvY6mh55SPTb9GVZTPVGY/o/u2Pqz3Ovz8orziLo7GQHmr4sRLppO6afLUWj59ndaScE28v0v41y2SYKblKwnK4kzIMyeFOylUSlmGmeo9DZQT2DB+vvk0ziyvVFGvXgzt/lPMnZl1oPemEHtj5Qx2PndDM4kr9U/VtVkeyXHVjsx5avU5LNuxS2pBCpV6lDWnJhl16aPU6VTeySCgbFo+fp7smX61EOqmHGn6sY+wggj6UV5zVq50H9c196yRJK2fezpy4EdZWX6NM0pTpGfi0I9MTVzppqq1+TpaTjV5LJlyuWyouV3cqrn9t+LE6+fhwRHQmonqo4Qn1pBJaUnG5lky43OpIlgm2h7VyzUalTEMnSrxKuJ2SYSjhdupEiVcp09DKNRsZgb3ApvjGaeXM2yVJ39j3tF7tPGhxIowmlFcMav2xLfp90zYVmm7df+n7+EhxBIXq5sj0dg96jdPbrVB9TZYSjW6V3jJ9rHqpJOnRvb/SgfBxixPllgPh4/ra3l9Kkj5WvVQTPUGLE1ljUX2jXMmUYp6BF6vGPG65kyldW9+Y5WT5w+1w6nOXvFeFplu/a3pZvzm21epIGGUor/irvr7v1zocadVF/nItn7rY6jg5IxnxyHANvq2T4UoqFSnMUqLRyzQc+uzsu1VouvWH49u14fh2qyPlpA19/7aFplufveRumXm4WHNRXaPC3sF3WenyunUd5fWCWT7tJl3kL9fhSKu+se9pq+NgFMq/VyYMW3cqri/t+plSmbTeNflq9oQcIU5fTJnE4CPZmYRTpm/w0dl88K7J16i6eKKOx07oG3t/bXWcnPb1vb8+Nf/1XZOutjpO1vkjPUq4zEGvSbhM+SIchHEhzC6epLsmLVQqndKXdv1M3amBp1Uhv1FeMSR7u47qpwefl8Nw6BMX35GXIzIjLbiwQano4KOqyWihgrU7s5RodKrwBHTPRTdIkr62Zy2nZ11g0VTPqekD90y9URWegMWJsivsK5ArkRr0GlcipYivIEuJ8odpOLTy4jvkMBz66aE/am/XUasjYZSigWDInnjjOR2LtWuqf7yWVdZaHcf2ymp3ynCmlIoN/BFlKuaWw5lSWW1DlpONLvfNWKoC06U/NG3Tyyf2Wx0nL7zc3qg/HN+uAtOl+2bcanWcrNq8sEr+6OCjfUXRuDbVVmUpUf5YVlmrqf7xOhYN6Yk3nrM6DkYxyiuGLJ5O6lt984/+9qLrOT72PLkDXZq+Yq0yKVPxDr/ScacyGSkddyre4VcmZWr6irVyB7qsjmqZBYEZurJspiLJbn2n8bdWx8kr33ntN4oku3Vl2cW6PJA/RW1zbZUSTlOe2MAF1hOLK+409TzldUSNcXn1/qm9n7B887V1inPMMwZBecWw/Dm0T1tD++R3efS+KddZHcf2/FVHNGvV4ypfvEWSoWRHkSRD5Yu3aNaqx+WvOmJ1RMsYMvShqt4DMn78xkZ1cBxkVnUkIvrvNzZKkj5ctUSGDGsDZUko4NejK66Xmcoo0BGVK56UMhm54kkFOqIyUxk9uuJ6hQKcRjaS/uai6+VzFmpraJ+2hPZZHQejXNb2PVp704MKFhaf+vXz7/yqJCnUfVLL/vBgtmJgBHxv/++0IFitd1ZeqacO16m1p9PqSLbmDnSpYmmdKpbWWR1lVFk07hJN849XS3eHfnnkBavj5KW1R17QHZW1muYfr2vHXaLNLa9YHSkr9lWV64FVS3VtfaOuq29UoCOqiK9A6xfP1vO1VRTXETa2YIyWTrxC6Uxa3218xuo4OAfZ7nhZK6+n/6WG8vsYvQ6Ej+u55p26obxG7558jb712jqrIyHHGDL0/qk3SuoddU3wEaIlEumkfvzGRn3i4jt0z0U36PmWV5VRxupYWREK+LV26TytXcrpghfa3ZOvkdvh1HPNO/V6hNPL7CjbHY9pAzgnT76xSZL0jooFzH3FiLsiWK0pvnFq6e7Q75u2WR0nr/2u6WW1dndqir9cbwvOsDoOcswYl09LKhZI0qlpKsBfQ3nFOXkj0qwX2/aowHTp1oq3WR0HOeZdk6+RJP3icJ2SmcG3LcKFlcyk9IvDvVNa3t33uAAj5daJb1OB6dILbXt0MNJidRzYBOUV5+wXh+slSe+svFIO9n3FCJniG6e5pVMVTfbot8desjoOJP3m2FZFkz2aWzpNk71jrY6DHOEwHHrnxCsk6dQPSMBQ0Dhwzrad2K/DkVaVFRTrbQE+TsTIeEffR4jPNe/gQIJRIprq0XPNvYdl3DqRT1owMq4IVqusoFiHI63afuKA1XFgI1krr6Huk8P6fdjDb5t6R8ZunnCZxUmQC0zDoRvK50qS1h/banEanG79sS2SpBvKazhhDyPi7ePnS/rL+wjsK9sdL2u7DfRvlfDMjQ9Lkm559vPZumtcQM8d36EPTb9ZVwSr5TULGCnDebksUKUSt08HIy1q7DpmdRycprHrmA5FWjTZN07zS6dra/trVkeCjXnNAl0RrFY6k9azx3dYHQfnKdsdjx+fcV5C8S41dByU23TpyrKZVseBzS0ad6kkaWPfR9QYXfqnDvQ/TsC5urLsYrlNlxo6Dqo9nr+nCOLcZG3kFbmrrnWX5pZO1cKyWafe3IDhcsjQFcFqSdKfWndZnAYD+VPrLi2fdpOuLJsphwylh7Dna7A9rEX1jVpU1yh/pEdhX4E2L6zSZjb7z2sLx86SJP2p9VWLk8COGHnFeXuhbY+k3o982XUA52pG8USVuP1qirWzZc4odTDSoqZYu0rcfs0onvhXr69ubNZDq9dpyYZdShtSqNSrtCEt2bBLD61ep+pGNqTPRw7DoctKp0uSXmjba3Ea2BFNA+ftePcJHY22ye/yqLqowuo4sKl5pdMkSS+FmEs5mr3c3ihJmtv3eJ1NsD2slWs2KmUaOlHiVcLtlAxDCbdTJ0q8SpmGVq7ZqGB7OBuxMYrMLJoov8ujI9E2NXefsDoObIjyihGx/cTrkqQ5JRdZGwS21V+G2DJndOt/fOb9lfK6qL5RrmRKMY97wNtjHrfcyZSurW8c8YwY3frfJ3bwXMc5orxiRLzS8YYk6ZIxU6wNAlsyZOji4kpJ0qudhyxOg8G80nFQUu/omSHjrNctqmtU2Dtwce3X5XXrOspr3pk9ZrKkv3wvAcNFecWI2HvyiCSpimkDOAeV3qB8zkK1dney8niUa493qbW7U36XR5Xe4Fmv80d6lHCZg/5ZCZcpX4Tt9fJN/3zpPX3vG8BwUV4xIo7F2hVJdmts4RgVu7xWx4HNTPOPlyT2drWJ/sdpat/jNpCwr0CuRGrQP8eVSCniKxjRbBjdxri8KisoViTZraZYu9VxYFOUV4yIjDI6FGmV1Hs2PTAcU3zlksQuAzbR/zgN9lzfvLBK/mh80D+nKBrXptqqEc2G0e3053pmCFut4a8Ltod157rteuT+n6ng6qtVcOutunPd9pxeDEl5xYg5HO0trxM9Z/8oERjIxL6Pnw/1fQ9hdOt/rld6y856zebaKiWcpjyxgQusJxZX3GnqecprXul/rh+JtlmcJDe8eTs6jR8vORw5vx0d5RUj5nisd8uTCZ6AxUlgN+MLSyX95XsIo1v/41Te97gNJBTw69EV18tMZRToiMoVT0qZjFzxpAIdUZmpjB5dcT0HFeQZnusj52zb0amwMOe3o6O8YsS09nRKkoIFxRYngd2MLRwjSWrp7rA4CYaiue9xGtf3uJ3NvqpyPbBqqdYvni2HpEBHVA5J6xfP1gOrlmpfVfmFD4tRpU27gekAACAASURBVKzv/aH//QLnLp+3o+N4WIyY9p7eVeKlbkZSMDxjXD5JUkc890YIclFHIiJJQ1qcGQr4tXbpPK1dOu9Cx4INlBYUSfrL+wXO3XC2o8u151/Wy2tTk/SrX5lq+K/7lIx45PTFFFzYoLLanXIH+Ga2s65kTJJU5PJYnAR24jUL5HSYiiZ7lMgMvjrdbuLtRXrsMVO//KVT2458Kmde7xLppKLJHnmdBfKaBYqm2O4KQ1Pk7H1/6EpELU5if/5Ij0Klg/8AmXCZCnTk3r91VqcNhBsr9YEPFOiJJ5ySkZGr9KRkZNSyYYF2r16ucGNlNuNghEWT3ZIkn7PQ4iSwE6+zd6ukWI4VoHBjpXavXq4nnnDK4VDOvd7FUr0LsTzm4CM/wOn6n+/8wHP+8nk7uqyV13h7kfavWSanUxo3TnK4kzKM3v+6SsIyzJT2r1mmeHtRtiJZwiFD75tynR6quUfvm3LdoCfU2E1POilJcjuYjYKhK3C4JEk9qYTFSUZO/+udw0wpkfix6uunqWPrHHXtvkHp5JM58XrX01deCymvGIb+53t3Dj3fJWve2/N5O7qstYy2+hplkqb8Z5kOaXriinf41VY/RxVL67IVK+veM2WRPjj97ZKkq8ouliQ9eXCTlZFGTDLd+xOgabAOEL0Frq2+RqG6OYNOEXIYvS/yqUzaqqgjrv/1rij9W73y2meUTvd+bJeONyl68EF5p0iG8322fr3rf7z6Hz9gKHLx+S5Z896+ubZKizftlScWH3DRVi5vR5e1lhGqmyPT2z3oNU5vt0L1NVlKZI1ZYyYN+ms74y0M/fo/Mm/ZsCAvpwj1v961HFx9qrieku5W99Gv5cXrHXA2ufZ+YcV7+4Db0aXTUnd3zm9Hl7Xymox4ZLiSg15juJJKRXJ7vuTuzsOD/trOXH3TBRLp3Fp0g+Hp/8jcMFNylYT/6hShZN8IjNNhWhl7RPW/3sW7Bz67PR0/bvvXO57vOBf93y/OHJteZtV7+5u3o1NLi5TJ5Px2dFn77nH6YsokBr+7TMIp0zf46Kzd/eTgZkm9P5Xt7jx86te5oMDsncsUT+fWXCYMT/9H5k5/bMDb3zxFKBfnTva/3jnc45WON73ldod7vO1f7wr7nu89PN8xDP3vD/3fP7nCyvf207eje+bGhyVJa5/9fNbu3wpZK6/BhQ29HyEOIhktVPniLVlKZI2MMjkzx/XN/H1boIST9n1DxvkbzhShiqV1iiR7Vx37zNxZEdv/elc48RPqPvivZ04dcBSqcOInbP965+17vKJJVo1j6MI5uitNLr+3j0ZZmzZQVrtThjOl8Fn2IE/F3HI4UyqrbchWJIyw/g3LT7J/X14b7hShnnRC3am43KYrZ7Zd6n+9c/ru0qWXfluFhZMlGXK4J8g75UE5fXfZ+vXOaxbIbbrUnYoz8oph6d/fdcwQDrgAziZr5dUd6NL0FWuVTErNzVI67lQm0/vfeIdfmZSp6SvW2nrj7nwX5OQU6NymCHXEe09sCrjtu3XU6fpf7zIpU07n36q29oBKFjSoaNZzMpzvs/3rXf8pev2PGzBU7X2n6OXKcx3WyOqeRv6qI/rhD3t0zz1JSYaSHUWSDJUv3qJZqx6Xv2rgxQ2wh3GFJZI4szrfBRc2KBUd/CPBZLRQwdqdp37d3N0hSSrv+x7KBf6qI5q16nHdc09SmYxy6vWu3FMqSWruPmFxEthNS99zfVwOPdeRfVlf7jdhgvTRj6b01IxvZ/uucYFN8AQkSU0x3tDyWVntTrVumq9UzC3T89YNtAeaItRbgqb2fg+d2J/FtBeWO9Clj747pY9+NKVbnv2/VscZMRMKe8vrcZ7rGKb+94eKvvcL4FywmzxGzGTvWEnS4WirxUlgpdM/Mo93+Ic0RehQpEWSNNk3zqrYGIYpfY/TIZ7rGKYjfd8zk3xjLU4CO8utjdZgGZdhaqI3qHQmrcMR3tDyXf9H5m31cxSqr1Gyo0imr1vli7eorLbhLXM9D/aV14v8ubknYa7pf5z6HzdgqA5FWpXOpFXpLZPLMJXIsE8who/yihEx1T9eLodTByMtrD6GpN4R2IqldUM6/rSx65gkaUZRhQwZyihzoePhHBkyVFVUIUna3/e4AUPVk07oSLRNk33jdJG/XK/xPYRzwLQBjIiL+47C23fyqMVJYEft8bBauzvlcxaq0ltmdRwMYpK3TD5noVq6O06tHAeGo/99YlZx7hyPjuyivGJEzBkzRZL0audBi5PArnZ1HpIk1ZRcZG0QDKqmdKqkvzxewHC90vc+MYfnOs4R0wZw3hwyNC8wXZK088TrFqeBXW0/cUDXlc/RvMB0rTtm35Onct3c0mmSeh+vfBBsD2tRfaMW1TXKH+lR2FegzQurtLm2SqGA3+p4ttT/PjG3dJocMpRmmhCGiZFXnLcZxRNV7PLqeOyEjsZCVseBTW3r2yJrful0mQYvTaORaTh0WWnvD6r5UF6rG5v10Op1WrJhl9KGFCr1Km1ISzbs0kOr16m6sdnqiLZ0NBbS8dgJjXH7NKNv/jQwHLxD4LzVll0sSfpzaK/FSWBnTbF2HYq0qMjl0aV901AwulxacpH8Lo8ORlrUFGu3Os4FFWwPa+WajUqZhk6UeJVwOyXDUMLt1IkSr1KmoZVrNirYzrzfc9H/fnHV2FkWJ4EdUV5x3q4Ze4kkqa51t8VJYHf1bXskSdeMu8TiJBjItX3P9Rf6Hqdctqi+Ua5kSjGPe8DbYx633MmUrq1vzHKy3FDf937R/z0FDAflFeelyj9Bk3xj1REPa0cH811xfjY29x4Zu2jcHKYOjDKm4dCicZdK+svjlMsW1TUq7B24uPbr8rp1HeX1nOzoeF0d8bAm+cZqun+C1XFgM1lbsLX2pgcVLCw+9evn3/lVSVKo+6SW/eHBbMXACLtpwnxJ0qbmBqUzaYvTwO4OhI/rYKRFU3zj9LZgdV6M8NnFFcFqjXH7dDDcrAPh41bHueD8kR6FSr2DXpNwmQp0RLOUKLekMmltbnlFt1depbdPmK/9rzVZHQnnIdsdL2tDG6f/pYby+xj93A6nbho/T5L0TNPLFqdBrvjdsZckSbdWLLA4CU53h3mRzMcek++22/WdTz6hR+7/me5ctz1n53yGfQVyJQY//cmVSCniK8hSotzzTN9z/abx8+R2sPmRnWW74/G5HM7ZDeVzVeTyau/JI9of5qdmjIzfHd+meDqptwWrNb6w1Oo4kLTwUExXfeJBmT/6odoS4bxYdb95YZX80fig1xRF49pUW5WlRLmnMdykvSePqMjl1fXlNVbHgY1QXnFODBm6c1KtJGnt4XqL09hLvL1Ix9ZdrYb779O2T35KDfffp2Prrla8vcjqaKPCyURUG5t3ymE4dOekhVbHyXvB9rA+/b3nJadTbWM8ijmNvFh1v7m2SgmnKU9s4ALricUVd5p6nvJ6Xn555AVJ0l081zEMlFeckyuC1ZrqH6/W7k5tbnnF6ji2EW6s1O7Vy9WyYYFkZOQqPSkZGbVsWKDdq5cr3FhpdcRR4eeH/iRJWlJxuca4Bp93iAvr5j8fUkBuye/XsQG2x8rVVfehgF+PrrheZiqjQEdUrnhSymTkiicV6IjKTGX06IrrOajgPG1ublBbz0lN9Y/XlcGZVseBTVBecU7umXqjJOnnh/+kZGbweWHoFW8v0v41y2SYKblKwnK4kzIMyeFOylUSlmGmtH/NMkZgJb0RadaLbXtUaLp19+RrrY6T1+7c2ixjTIlOxMOKpXoGvCZXV93vqyrXA6uWav3i2XJICnRE5ZC0fvFsPbBqqfZVlVsd0fYSmZR+duiPkqT3T73B4jSwi6zNkA51nxxw4m6o+2S2ImCEXD12tqqLJyrU06X1RznGc6ja6muUSZpy+mMD3m564op3+NVWP0cVS+uynG70+cHrz+rKsot1W+WVeupwndrjXVZHyjsBd5HG9kgqLdCRzrPvMJDLq+5DAb/WLp2ntUvnWR0lZ60/ukV3T75WM4srdfXY2fpT6y6rI2GYst3xslZe+7dKeObGhyVJtzz7+WzdNUaQyzD1oek3S5J+/MZz6kknLE5kH6G6OTK93YNe4/R2K1RfQ3mV1Nh1TH9seVXXjLtEfzftJn11zy+sjpR3Pjj97TLGbFJHV7siybN/77LqHuejJ53Qf7+xUf808zb9/fSb9WLbXj7Rs5lsdzymDWBY7phUq4neMh2KtOg3x7ZaHcdWkhGPDFdy0GsMV1KpSGGWEo1+39v/OyXSSb19wnzOQM+yGUUVunnCZeq5/Z060XZ00GtZdY/ztf7YFh2OtKrSW6ZllVdZHQejHOUVQzausEQf6Jvr+thrv1GKQwmGxemLKZMY/MOOTMIp0zf46Gw+ORYLae3hejkMhz4x8w45OHUrKxyGQ5+4eJkk6ekFFYo4Mqy6xwWVyqT17dfWS+pdUzG2YIzFiTCa8U6AIft49W0qNN3a3Nygre2vWR3HdoILG5SKDj6qmowWKlib+0dvDscTbzyn5u4OzSieqDsra62OkxfuqqzVjKIKNXd36DuRnay6R1ZsbX9Nm1tekcdZoI/PvN3qOBjFKK8YklsmXK4rymaqKxHTt/p+OsbwlNXulOFMKRUb+Lz0VMwthzOlstqGLCcb3WKpuP7f3l9JkpZPu0mTvWMtTpTbJnvH6t5pN0mSHt3zS3Wn4qy6R9Z8a986dSViurJspm6ZcLnVcTBKcR4b/qqJnqA+NuNWSdI39j3Nqu9z5A50afqKtb3bYXX45fR2y3AllUk4lYwWyuFMafqKtXIH+Pd9sy2hfXrm2Eu6peJyffaSu/XJrY8pwYKOEecyTK265D0qMF367bGXzviEhVX3yIb2eJe+ue9pffaSu3XfjFvV0PGGjsVCVsfCKMPIKwblcjj1uUvfK4+zQBubd+q55h1WR7I1f9URzVr1uMoXb5FkKNlRJMlQ+eItmrXqcfmrjlgdcdT61mvrdCwaUlVRhVbMeIfVcXLSihnv0PSiCToWDelbr62zOg7y1LPNO7Sxeae8zgJ97tL3yuVgnA1n4jsCg1o583ZVFVXoWDSkr+35pdVxcoI70KWKpXVshzVMsVRc/+fV/9FXLv+Ibq+8SntPHtEfjm+3OlbOuGn8fN1eeZXi6aT+z6v/o+7UwAu0gGz42p5fqrq4UjOKKrRy5u36yu6nrI6EUYSRV5zVnZMW6uYJl6k7Fde/vfLfip7ldB0gW/Z1HdU39z0tSVo58w5dXMxxuiNhVvEkrexbIPONvb/Wvq7Bt8YCLrRoqkf/1vBjdafiunnCZbpz0kKrI2EUobxiQNeMna0VVUskSV/Z/ZQOhM9+ug6QTb85tlXrjv5ZBaZLD9V8QBWegNWRbK3CE9RDNfeowHRp3dE/67dNL1kdCZAkHQgfPzXiuqJqia4eO9viRBgtKK94i7ml0/TZ2XfLYTj0vf2/0+aWV6yOBJzh6/ue1pbQPpW4ffrC3OUKuIusjmRLAXeRvjD3Xo1x+/Ri2159vW9UGxgtNre8ov/c/zs5DIc+O/tuzS2ZanUkjAKUV5xh9pjJemjO++U2Xfr1kRf1Pwc3Wx0JeIt0Jq2HX3lS+04eVYU3qP+Y/0GVuHxWx7KVUrdfX5z/96rwBrXv5FH9+6s/UZqDRzAK/eTgZv36yIt9n7bco9ljJlsdCRajvOKUmpKp+ve5y+VxFuj3Tdv0DUZhMIp1p+L63Pb/0oHwcU32jdMX5/+9Am42yh+KgNuv/5j3QU3yjdWBriZ9bvt/sUALo9o39j2tPzRtk8dZoC/MXa4aRmDzGuUVkqQrgtV6eO698jgLtOH4dn11zy+UUcbqWMCgupIxrdr2n3oj3Kwp/nI9cvlHVeEJWh1rVJvoCeqRyz+qKf5yvRFu1qrt31dXMmZ1LGBQGWX0lT2/0LPHd8jrLNDDc+/VFcFqq2PBIpRX6J0Tr9CDpxZsbNGXdv2cjw9hG52JqP5l2/e0p/OwxntK9cjlH9HMoolWxxqVZhZN1FcvX6HxnlLt6Tysz2z7njoTUatjAUOSzqT1pV0/0/qjW1RguvRgzT1658QrrI4FC1Be89x9M27Vx2feLtNw6InXn9Oje3/JiCtspzMR1We3f19bQ/tU4vbry5d9WDeNn291rFHl7ePn68uXfVglbp+2hPbpX7b9p05SXGEzaWX0tb2/1BOvPyfTcOjjM2/XfX0nQCJ/UF7z3J2TFiqRTurLu36uH7y+weo4wDnrTsX1wM4n9PSRF+U2XfrM7HfpH2YsldMwrY5mKadh6h9mLNU/z36X3KZLTx95UQ/s/JF60gmrowHn7Aevb9CXd/1ciXSSPWDzECds5aHxhaWnvm7t7tQXXnlSu08etjARMDKSmZT+375f67WuY/rHmbfpjkm1ml0yRV/a9TMdjLRYHS/rpvjG6V9mv1tVRRWKp5P6+t5f6xn2cUWO+P3xbToSbdPn5/yNygqKJUnlhaVq7j5hcTJcaIy85qGW7o5TX//jlm9SXJFzftv0kj7z8nfVFGvXjKIKfX3Bx3TnpIUyZFgdLSsMGbpz0kJ9fcHHVFVUoaZYu/755e9SXJFzdp88rH/88zdO/fr09zfkLkZe81D6tDmtnYmIhUmAC2fPySP62J+/ro/OuFXvqFig+2bcquvGzdE39z2d08efVhdN1D9Uv1OzxkyS1Hsi2WOvrVeMrbCQozpOex9jzUZ+oLwCyFmxVFz/d89avdi2Rx+feYdmjZmkry34qJ5pelnf3//7nPrhbYzLp7+ffrOWVFwuSQr1nNSje3+lF9r2WJwMAEYW5RVAzqtv26PtJw7oby+6QXdOqtU7KhZo0bhL9csjL+gXh+tsveq+2OXVnZMW6o7Kq+RzFiqRTuoXh+v04zc2MtoKICdRXgHkhVgqru/tf0bPNL2k+2bcqrcFq/W3F12vuyYt1LqjW/TzQ39UKN5ldcwhC7qL9O7J1+jWiW9ToemWJG0J7dO3X1uvI9E2i9MBwIVDeQWQV45E2/T5HT/Q7DGT9TdTrtMVZTP1rslX67bKK7W5uUEbmndo+4kDo/KgDofh0LzSaVpcPleLyufI7eh9CX+xba+ePLhJuzoPWZwQAC48yiuAvLSr85D+184farp/gt530XW6Zuxs3TRhvm6aMF/tPV3a1NKgZ4/vGBWLu6qLJurG8XN13bg5ChQUSeo9bWhzc4OePLhZ+8NNFicEgOyhvALIa/vDTfrCK09qgiegG8vn6sbxc1XpLdOdkxbqzkkLdTjSqj+H9upwtE3HYu06Fg2prefkBVnVbMhQWUGxKrxBVXgCmuQt05VlF6vSW3bqmiPRNj17fIeebd6hplj7iGcAgNGO8goAkppi7Xrijef0xBvPnTHSOck3VpN8Y8+4Np5KqCnW3ltmYyEdjYZOfd3a3XnGdnRv5pChsYVjVOEJamJfSa3w9P53gicgt+l6y/8z2kaCAcBKlFcAeJN9XUe1r+uo1jT+VvNKpqq6uPJU0ZzgCSpYUKQp/nJN8Ze/5f+Np5M63ldsI8nuU7//UM09mugJarynVC7H2V96Qz1daor1luGj0ZD2nTyi7R2vj8o5uABgBcvK6zM3PmzVXQPAkKQzab18Yr9ePrH/jN/3mG5N6Bsx7S21fSOo3qDKCoo12TdOk33jzvh/riq7+NTXbT0ndaxvtPZoLNT3dUhNsXa2twJw3nK9YzHyCgDDFEvFdSB8XAfCx99yW4HDdarIXhGs1pKKBZKkf2348anC2pNOZDsyAOQMy8rrLc9+3qq7BoALpied0OuRZr0eadafWnedKq9/at1lcTIAuc7qbpWtEV9GXgHgAgi2h7WovlEFX75V6uzUI+mQNi+s0ubaKoUCfqvjAYBtOawOAAC5prqxWQ+tXqclG3ZJDoc0frzShrRkwy49tHqdqhubrY4IALZFeQWAERRsD2vlmo1KmYZOlHilwkLJMJRwO3WixKuUaWjlmo0KtoetjgoAtkR5BYARtKi+Ua5kSjGPe8DbYx633MmUrq1vzHIyAMgNlFcAGEGL6hoV9g5cXPt1ed26jvIKAOeE8goAI8gf6VHCZQ56TcJlyhfpyVIiAMgtlFcAGEFhX4FcidSg17gSKUV8BVlKBAC5hfIKACNo88Iq+aODn5JVFI1rU21VlhIBQG6hvALACNpcW6WE05QnNnCB9cTiijtNPU95BYBzQnkFgBEUCvj16IrrZaYyCnREpe5uKZ2WK55UoCMqM5XRoyuu56ACADhHnLAFACNsX1W5Hli1VNfWN6p6T0ZqaZFD0vrFs/U8J2wBwHmhvALABRAK+LV26Tx97Cu9Z31/yuIzxwEgVzBtAAAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG5RXAAAA2AblFQAAALZBeQUAAIBtUF4BAABgG06rAwAAcD6C7WEtqm/UorpG+SM9CvsKtHlhlTbXVikU8FsdD8AIo7wCAGyrurFZK9dslCuZUtjrVqjUK1cipSUbdmnxpr16dMX12ldVbnVMACOIaQMAAFsKtoe1cs1GpUxDJ0q8SridkmEo4XbqRIlXKdPQyjUbFWwPWx0VwAiivAIAbGlRfaNcyZRiHveAt8c8brmTKV1b35jlZAAuJMorAMCWFtU1KuwduLj26/K6dR3lFcgplFcAgC35Iz1KuMxBr0m4TPkiPVlKBCAbWLAFADbBqvozhX0FciVSvXNdz8KVSCniK8hiKgAXGiOvAGAD1Y3Nemj1Oi3ZsEtpQwqVepU2pCUbdumh1etU3dhsdcSs27ywSv5ofNBriqJxbaqtylIiANlAeQWAUY5V9QPbXFulhNOUJzZwgfXE4oo7TT1PeQVyCuUVAEY5VtUPLBTw69EV18tMZRToiMoVT0qZjFzxpAIdUZmpjB5dcX1eTqkAchnlFQBGOVbVn92+qnI9sGqp1i+eLYekQEdUDknrF8/WA6uWckABkINYsAUAo5w/0qNQqXfQaxIuU4GOaJYSjS6hgF9rl87T2qXzrI4CIAsYeQWAUa5/Vf1gWFUPIF9QXgFglGNVPQD8hWXTBp658WGr7hoAbGVzbZUWb9orTyw+4KItVtUDvegW+YGRVwAY5VhVDwB/YdnI6y3Pft6quwYA2+lfVX9tfaOuq29UoCOqiK9A6xfP1vN5esIW0I9OMTpka+Sb3QYAwCZYVQ8ATBsAAACAjVBeAQAAYBtMGwAwbPH2IrXV1yhUN0fJiEdOX0zBhQ0qq90pd6DL6ngAgBxGeQUwLOHGSu1fs0yZpCnT2y1X6UllEk61bFig1k3zNX3FWvmrjlgdEwCQo5g2AGDI4u1F2r9mmQwzJVdJWA53UoYhOdxJuUrCMsyU9q9Zpnh7kdVRAQA5ivIKYMja6mt6R1w9A5/2ZHriSidNtdXPyXIyAEC+oLwCGLJQ3RyZ3u5Br3F6uxWqr8lSIgBAvqG8AhiyZMQjw5Uc9BrDlVQqUpilRACAfEN5BTBkTl9MmcTg6zwzCadM3+CjswAAnCvKK4AhCy5sUCo6+KhqMlqoYO3OLCUCAOQbyiuAISur3SnDmVIq5h7w9lTMLYczpbLahiwnAwDkC8orgCFzB7o0fcVaZVKm4h1+peNOZTJSOu5UvMOvTMrU9BVrOagAAHDBcEgBgGHxVx3RrFWPq61+jkL1NUp2FMn0dat88RaV1TZQXAEAFxTlFcCwuQNdqlhap4qldVZHAQDkGaYNAAAAwDYorwAAALANyisAAABsg/IKAAAA26C8AgAAwDYorwAAALANyisAAABsg/IKAAAA26C8AgAAwDYorwAAALANyisAAABsg/IKAAAA26C8AgAAwDYorwAAALANyisAAABsg/IKAAAA26C8AgAAwDYorwAAALANyisAAABsg/IKAAAA26C8AgAAwDYorwAAALANyisAAABsg/IKAAAA26C8AgAAwDYorwAAALANp9UBACAXxNuL1FZfo1DdHCUjHjl9MQUXNqhpljRhgtXpACB3UF4B4DyFGyu1f80yZZKmTG+3XKUnlUk41bJhgT6wo0Bf+lLc6ogAkDOYNgAA5yHeXqT9a5bJMFNylYTlcCdlGJLDnZSrJCynU/rMZ9yKtxdZHRUAcgLlFQDOQ9v/b++OXeK8wwCOP5fTi1GLwRhCgm0iFqFgQrJpIYMVUmgkHTsEMrTQIf0HSmmW0kz5HwrFIYEu7VJoh0IyaGs241CHDkKmVIuiaerV8zqUHCbIkfb0PZ7j85nee9/3/D3T8eXHvef8hX93XI/tv7va3x+xvR2xOn++4MkAOpN4BWjB2tz5KPf+1fSegYGItfkLBU0E0NnEK0ALdp4ei1L3TtN7KpWI2tOegiYC6GziFaAFXX3Pov5382dfq9WIcl/z3VkAXo14BWjBibcfRe3P5ruqGxsRJyYXC5oIoLOJV4AWDE0uRqmrFrVnlX2vb21FHD0aMTT5qODJADqTeAVoQWVwM0Y//jbqtXJU1/tjt9oV9XrEbrUrquv9sbMTcedONSqDm+0eFaAjiFeAFvW/+Tje+vTrODX9MCJKsbP+WkSU4tT0w5id3Y5Ll+rtHhGgY/gPWwAHoDK4GWeuzsWZq3MvnD99+r02TQTQmey8AgCQhngFACAN8QoAQBriFQCANMQrAABpiFcAANIQrwAApCFeAQBIQ7wCAJCGeAUAIA3xCgBAGxZttgAAAgxJREFUGuIVAIA0xCsAAGmIVwAA0hCvAACkIV4BAEhDvAIAkIZ4BQAgDfEKAEAa4hUAgDQKjdfxgbON42vDEzHQ3Vvk8gAAHLCB7t64NjzReL239w5D16H+9Ze83neycfzJ2Ex8NHolvvrtx/ju8c9FjgEAwAF4f3giPhy9Ej3lSuPccO9QLG2sHNqahe68/rL6a+N4YXU5esqVuDk2EzdGposcAwCAFt0YmY6bYzPRU67Ewupy4/zC2nKTd7Wu0Hj9o7rVOL61OBu3l+5FbbcW10emYvz4uSJHAQDgfxo/fi6uj0xFbbcWt5fuxa3F2ca1vb13GNr6wNaDJ0txd+V+RER88Mbldo4CAMAret5td1fux4MnS4Wu3fZfG3j+fdeLg6NRLrV9HAAAmiiXjsTFwdGIiLY8t1ToA1t7/fDOly+8rhzpiu+nvmjTNACH6+XPPIBO8M3lzwpf01YnAABpFL7z+u5Pnxe9JAAAHcLOKwAAaYhXAADSEK8AAKQhXgEASEO8AgCQhngFACAN8QoAQBriFQCANMQrAABpiFcAANIQrwAApCFeAQBIQ7wCAJCGeAUAIA3xCgBAGqV6vf7qN5dKv0fEyuGNAwAAcbZer5/c78J/ilcAAGgnXxsAACAN8QoAQBriFQCANMQrAABpiFcAANIQrwAApCFeAQBIQ7wCAJCGeAUAII1/ABHRgC4yophEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot player positions at ,atckick-off\n",
    "KO_Frame = events.loc[0]['Start Frame']\n",
    "fig,ax = mviz.plot_frame( tracking_home.loc[KO_Frame], tracking_away.loc[KO_Frame] )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# PLOT POISTIONS AT GOAL\n",
    "fig,ax = mviz.plot_events( events.loc[198:198], indicators = ['Marker','Arrow'], annotate=True )\n",
    "goal_frame = events.loc[198]['Start Frame']\n",
    "fig,ax = mviz.plot_frame( tracking_home.loc[goal_frame], tracking_away.loc[goal_frame], figax = (fig,ax) );"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python [conda env:friends-of-tracking-data-youtube]",
   "language": "python",
   "name": "conda-env-friends-of-tracking-data-youtube-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}