EDA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Perform Exploratory Data Analysis\n",
    "\n",
    "### Author: Solomon Stevens\n",
    "### Date: July 21st, 2024\n",
    "\n",
    "Gain a deeper understanding of the data\n",
    "* Find out which variables need to stay and which can go\n",
    "* Discover undrelying relationships between data points\n",
    "\n",
    "Create a data set sufficient for machine learning\n",
    "* Remove variables with high multicolinearlty\n",
    "* Remove any variables that may magically have shown up\n",
    "* Sort the data into something more readable"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preliminary Stuff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imports\n",
    "import pandas as pd\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Unnamed: 0 last_name, first_name  year  home_run  k_percent  p_earned_run  \\\n",
      "0           0        Colon, Bartolo  2015        25       16.7            90   \n",
      "1           1         Burnett, A.J.  2015        11       20.5            58   \n",
      "2           2           Hudson, Tim  2015        13       12.2            61   \n",
      "3           3         Buehrle, Mark  2015        22       11.0            84   \n",
      "4           4          Sabathia, CC  2015        28       18.9            88   \n",
      "\n",
      "   p_run  p_win  p_loss  p_era  barrel_batted_rate  hard_hit_percent  \\\n",
      "0     94     14      13   4.16                 5.4              34.7   \n",
      "1     64      9       7   3.18                 4.8              38.7   \n",
      "2     62      8       9   4.44                 4.8              34.1   \n",
      "3    100     15       8   3.81                 4.9              33.0   \n",
      "4     92      6      10   4.73                 4.1              31.1   \n",
      "\n",
      "   win_loss_pct  lack_of_run_support  \n",
      "0      1.076923                False  \n",
      "1      1.285714                 True  \n",
      "2      0.888889                False  \n",
      "3      1.875000                False  \n",
      "4      0.600000                False  \n"
     ]
    }
   ],
   "source": [
    "# Grab the data\n",
    "df = pd.read_csv('stats_cleaned.csv')\n",
    "\n",
    "print(df.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Beginning Observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(999, 14)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Shape of the data frame\n",
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Unnamed: 0', 'last_name, first_name', 'year', 'home_run', 'k_percent',\n",
       "       'p_earned_run', 'p_run', 'p_win', 'p_loss', 'p_era',\n",
       "       'barrel_batted_rate', 'hard_hit_percent', 'win_loss_pct',\n",
       "       'lack_of_run_support'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# What columns are we working with\n",
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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>Unnamed: 0</th>\n",
       "      <th>year</th>\n",
       "      <th>home_run</th>\n",
       "      <th>k_percent</th>\n",
       "      <th>p_earned_run</th>\n",
       "      <th>p_run</th>\n",
       "      <th>p_win</th>\n",
       "      <th>p_loss</th>\n",
       "      <th>p_era</th>\n",
       "      <th>barrel_batted_rate</th>\n",
       "      <th>hard_hit_percent</th>\n",
       "      <th>win_loss_pct</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "      <td>999.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>499.000000</td>\n",
       "      <td>2018.795796</td>\n",
       "      <td>19.870871</td>\n",
       "      <td>22.128428</td>\n",
       "      <td>67.569570</td>\n",
       "      <td>72.685686</td>\n",
       "      <td>9.523524</td>\n",
       "      <td>8.451451</td>\n",
       "      <td>4.055636</td>\n",
       "      <td>6.859960</td>\n",
       "      <td>36.182683</td>\n",
       "      <td>1.365542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>288.530761</td>\n",
       "      <td>2.582961</td>\n",
       "      <td>7.223344</td>\n",
       "      <td>5.022292</td>\n",
       "      <td>20.338196</td>\n",
       "      <td>21.762226</td>\n",
       "      <td>4.109864</td>\n",
       "      <td>3.330101</td>\n",
       "      <td>0.953701</td>\n",
       "      <td>1.864186</td>\n",
       "      <td>4.420669</td>\n",
       "      <td>0.984821</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>2015.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>10.400000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.630000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>23.800000</td>\n",
       "      <td>0.076923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>249.500000</td>\n",
       "      <td>2017.000000</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>18.700000</td>\n",
       "      <td>57.000000</td>\n",
       "      <td>61.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>3.380000</td>\n",
       "      <td>5.500000</td>\n",
       "      <td>33.100000</td>\n",
       "      <td>0.750000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>499.000000</td>\n",
       "      <td>2019.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>21.400000</td>\n",
       "      <td>70.000000</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>3.990000</td>\n",
       "      <td>6.700000</td>\n",
       "      <td>36.000000</td>\n",
       "      <td>1.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>748.500000</td>\n",
       "      <td>2021.000000</td>\n",
       "      <td>25.000000</td>\n",
       "      <td>25.100000</td>\n",
       "      <td>81.000000</td>\n",
       "      <td>87.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>11.000000</td>\n",
       "      <td>4.670000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>39.200000</td>\n",
       "      <td>1.683333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>998.000000</td>\n",
       "      <td>2023.000000</td>\n",
       "      <td>44.000000</td>\n",
       "      <td>41.100000</td>\n",
       "      <td>124.000000</td>\n",
       "      <td>130.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>7.020000</td>\n",
       "      <td>14.900000</td>\n",
       "      <td>48.700000</td>\n",
       "      <td>8.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Unnamed: 0         year    home_run   k_percent  p_earned_run  \\\n",
       "count  999.000000   999.000000  999.000000  999.000000    999.000000   \n",
       "mean   499.000000  2018.795796   19.870871   22.128428     67.569570   \n",
       "std    288.530761     2.582961    7.223344    5.022292     20.338196   \n",
       "min      0.000000  2015.000000    2.000000   10.400000     14.000000   \n",
       "25%    249.500000  2017.000000   15.000000   18.700000     57.000000   \n",
       "50%    499.000000  2019.000000   20.000000   21.400000     70.000000   \n",
       "75%    748.500000  2021.000000   25.000000   25.100000     81.000000   \n",
       "max    998.000000  2023.000000   44.000000   41.100000    124.000000   \n",
       "\n",
       "            p_run       p_win      p_loss       p_era  barrel_batted_rate  \\\n",
       "count  999.000000  999.000000  999.000000  999.000000          999.000000   \n",
       "mean    72.685686    9.523524    8.451451    4.055636            6.859960   \n",
       "std     21.762226    4.109864    3.330101    0.953701            1.864186   \n",
       "min     14.000000    1.000000    0.000000    1.630000            2.000000   \n",
       "25%     61.000000    7.000000    6.000000    3.380000            5.500000   \n",
       "50%     75.000000    9.000000    8.000000    3.990000            6.700000   \n",
       "75%     87.000000   12.000000   11.000000    4.670000            8.000000   \n",
       "max    130.000000   22.000000   19.000000    7.020000           14.900000   \n",
       "\n",
       "       hard_hit_percent  win_loss_pct  \n",
       "count        999.000000    999.000000  \n",
       "mean          36.182683      1.365542  \n",
       "std            4.420669      0.984821  \n",
       "min           23.800000      0.076923  \n",
       "25%           33.100000      0.750000  \n",
       "50%           36.000000      1.100000  \n",
       "75%           39.200000      1.683333  \n",
       "max           48.700000      8.000000  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Summarize the numerical data\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     year  home_run  k_percent  p_earned_run  p_run  p_win  p_loss  p_era  \\\n",
      "0    2015        25       16.7            90     94     14      13   4.16   \n",
      "1    2015        11       20.5            58     64      9       7   3.18   \n",
      "2    2015        13       12.2            61     62      8       9   4.44   \n",
      "3    2015        22       11.0            84    100     15       8   3.81   \n",
      "4    2015        28       18.9            88     92      6      10   4.73   \n",
      "..    ...       ...        ...           ...    ...    ...     ...    ...   \n",
      "994  2023        14       25.0            53     54     12       7   2.83   \n",
      "995  2023        18       22.2            63     64      8       7   4.32   \n",
      "996  2023        24       20.7            84     93      4       9   5.36   \n",
      "997  2023        26       26.8            88     94     11      13   5.09   \n",
      "998  2023        19       17.5            74     79     12       4   3.81   \n",
      "\n",
      "     barrel_batted_rate  hard_hit_percent  win_loss_pct  lack_of_run_support  \n",
      "0                   5.4              34.7      1.076923                False  \n",
      "1                   4.8              38.7      1.285714                 True  \n",
      "2                   4.8              34.1      0.888889                False  \n",
      "3                   4.9              33.0      1.875000                False  \n",
      "4                   4.1              31.1      0.600000                False  \n",
      "..                  ...               ...           ...                  ...  \n",
      "994                 6.9              42.0      1.714286                False  \n",
      "995                10.9              42.1      1.142857                False  \n",
      "996                 7.7              38.5      0.444444                False  \n",
      "997                10.9              44.4      0.846154                False  \n",
      "998                 6.0              41.0      3.000000                False  \n",
      "\n",
      "[999 rows x 12 columns]\n"
     ]
    }
   ],
   "source": [
    "# Histograms for all numeric columns\n",
    "df_numeric = df.drop(columns=['last_name, first_name', 'Unnamed: 0'])\n",
    "\n",
    "print(df_numeric)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Potential Cleaning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Unnamed: 0               0\n",
       "last_name, first_name    0\n",
       "year                     0\n",
       "home_run                 0\n",
       "k_percent                0\n",
       "p_earned_run             0\n",
       "p_run                    0\n",
       "p_win                    0\n",
       "p_loss                   0\n",
       "p_era                    0\n",
       "barrel_batted_rate       0\n",
       "hard_hit_percent         0\n",
       "win_loss_pct             0\n",
       "lack_of_run_support      0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Are there any null values?\n",
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kSMxkaFU5Buna7BxsGlQxmc/Vyw0HN0d8L+VHRJTpWQT7PKZc3YovfXwrWwUAmSkZL7A0psEdBzdHHj6nIcjnMeXrvnx95GtIN2mjsFWQnZGFVmPY0Dt7uWHn5kjApfzoVHa6kjCfQEq/Qj2Yonzjqsy/+QPTT62kx8JhKBxsCtm4eLlh7+aIf4F6yE5XEuITSJm/ocHMIm9EUq4qvxtep9ORm5NL1Va1sXZzILzAfZ6TriTGJwiPeqZ/G241yhBe4PeETkf4xYd41C1vXIOVnKq9WpAaHkd6VKJRG4m9E2Z1m4FMhtqvwDIiOh1qvzvIypm+j+Vd+6FLTyH34jGTNvrj2DpgVqMhOaZsZWbISldE/fC2oQbf28jKVzWtoVt/dGkp5F4wUq5EgnnNRmhjnqCY9DW2q/djPWsNZnXeM3m86IsPca1nvD5d65Un+sIDg7TIs/dM2gNY2Fmh02oNuoGfx6aEM1IzGREXDO+HWJ8gPIpoK11rlOHJc/fDkwsP8ShCzztHq30zn/8gwmH8D2NlZUXfvn3ZsiW/W2znzp2ULFmSVq1aMW/ePKZNm8agQYMoW7Ys7dq1Y8GCBfzwww96+y+++ILWrVtTunRp2rRpw8KFC/n5558NjpObm8v333/Pe++9R6VKlVAoFP/YOf4dJFIZAJkJhk+umQmp2Lg6GM2jcLRFaiYjo1CeNGxc87uNfxn7HTIzGV/e+5EZj7fSafEw9o9cRXKY8fE+Lr3bknb5IRIzGbnPlZ0bn4K5CT0vQpuZTcZNf4p93gtzd0eQSnHu3hKbehXztk1g55q3Ly0+xSA9LT4V+5fUIpFI6DNnCI9v+BEZEPHK2p8d501oCChCg42jLV3H9eTsnr8K7bN9epyM56IbGfGp+n2vi/85H3ZN/J71/Rbyx9LdlGtUhZFbp+m7Zp9hp68HQw3p8an6fa9DTFAUiU/i8Z7SF4WdNTJzGe1Hd8OpmAuOnnnDFbIS0gzyZCWkYe1qfHiElVPebyPrufs3KyG1UJ6aA9oyxm8jYx9tolSrWhzs9zXaXMOxYx3XjMV27e/YLt+LLjcHiUSKLi3ZwEaXlozUzvjQCln5apg360j29m9fXBmA+XvtQJWF+vZFo/sltvZIZLLCGlKTkdgZ/y3JKlTHovkHKLeuNFGmAxIrBfLOvVHfv0Hm8mmob19C8dlXmNVubPR4yvhUrExdA1cHlPGG10yZkIaViftEJjen3ozeBB+6Qm6G0qiNbWl3yvdqoS/LUEsaCjfjWiyf3Q/P3bfKhFQUJvQL/t2ISS//cUaMGEGDBg2IjIykePHibN26lcGDByORSLh79y6XLl0yiChqNBqys7PJyspCoVDw119/sWTJEvz9/UlLS0OtVhvsB7CwsKBmzZpF6lCpVIW6xqUq1Vt7ObsxJHIbZDYu+m1NqukJA3+XVpN6YGmnYEffxSiT0qnUvj4frxvHtp4LiHtk6LiYezpj36o2oVM3YN+86Hp8HYLHr6b0is+ofXszOrWGzPvBJB26iKJmOb1N427NGbh4pH571dAlf/u4/RcMp3glL5b0MD6553kad2vOoMWjCmgwPvnj1TSMoESlkizuYXzQvKWNFV9smUFUYAS/rdpHy27N6bV4hH7/T0OX/m0NprjzxxX99+hHEUT7hTPrwnd0nfQJrQd30u/7/g1cC2No1Rp+HL2c/svGsOLeFnQ6HVqtFo1aAzrJiwv4G/gfukT4hfso3ByoN6ozH3w/jv3d56MpEO08P38nxW9uROpeHHmPEUWUZgS5FVbDppK9fRW6jLQX2wPmTTuSe+00qI1PfHplLK1QjJiKcutK0xqkeTGb3DtXyDnxCwCqiCBk5ati3qTtm9FhAomZjJYbxiGRSLg6favBvrIfvUeTpUNBIsHM0pwnp+/i1bbOW9Xzb+FdLNz9/wXhMP7HqVOnDrVq1WL79u20b9+ehw8fcvjwYSDv/ZXz5s2je/fuhfJZWloSGhpKly5dGDNmDIsWLcLJyYmLFy8ybNgwcnJy9A6jlZUVEknRfzBLlixh3rx5BmmzvhzPnCmfv6EzfTG6nEzUydn5CU81W7vYkxGXok+2drEnxjfMaBlZyelo1RpsXAyfkK1d7PRRKMeSbjQc3IENbacQ/zgSgFi/cLwaVqL+wHYcmbnZIK/LJ21QJ2eQdOgCpb8ejflzZZu7OpD7XJTtVVCFxfCoxyykVnJktgpy45Ipt34SqvB8h9nnrxsEF5iJ/ay70s7VgdQCx7ZztSfcN/SFx+w3bxi12tTj615zSI4xPhnneQprMDepIeIlNPSfN5zabeqxpNdsoxosrS2ZtG0W2RnZrBm1DI1aw8O/brHcJ38s1TMNNq72BpFOG1d7okzcI69LYkQcGYlppMWnsrjTl4U02D2nwdbVnicvUQ9FEf4ghMWdpmDv7oiDhxNZKRmMWD+JhPBYytSpgMLFjqwCvw2Fix3xvsbHKCuT8n4biufuX4WLPZnPRZly0pXkpCtJCY0l5k4go+//QLkO9Qn4Pd+JzopPRRsThzYmAp0yC+svlyP18EITnD+sQ2LniDat8LWVunkidfHA6rP5+YlPf++2G46SMXsougLjCWUVqiPz9EL546Lni9KjS09Fp9EUiiZK7B0LRQEBpK7FkLp6ovh8YSENdhuPkzF9MNqkeHRqNdoow3tJGx2OrEKNAsfLL9/K1d7keD5lfApWroYTYqxc7FA+135IzGS02jAOmxLOHO+1pFB0MfzEbdIj4mix5lOSHoZx55tf8GpbB6vn7gcrVzsSHxq/H7Kf3Q/PRROtXOwLRR3/VfxHu5PfBMJh/B9g+PDhrFq1isjISNq2bYuXlxcAdevW5dGjR5Qvb3w8ya1bt9BqtaxYsQLp0yfh57ujX5bp06fr34/5DGl65GuV9drodKAznBiSHpdMmabViH36529hY0Xx2uW4tbNw9yTkDcCOvh9C6abVeHTiVl6iREKZptW5sS1viQ7zp7Nxn3/Vk06jLdTdCODSqw2JB86gVarIvBeEXbOapBy/ri/brlkNYrccfe3T1mtXqtAqVcjsrbFrWYcni7bp92VnZpOdaRhxTYlLpup7NfTOmaWNFWVrV+DMTuNLkTyj37xh1O3QkKW955LwJO6l9b2shnK1K3Bm5/Eiy+o/b3iRGixtrJi0fTbqnFy+G74E9dPIliozG1VmtoFtWlwyFd+rrncQ5TZWlKpdnss7T770ub0M9h5OKBxtSHoSR/xzQxdS45Kp9F4NnjzVYGljRZna5bnwgmvxsqTGJpMam4xraQ+KVyrJwSU7qdqkOl5Nq5Hw1EG0sLHCo3Y57u84ZbQMba6GuPsheDWtRnCB34ZX02rc22a6riQSCUgkyCyK+Dt6+luSVapJ7uUT+rLNqtQm53Th2bXa6Agy5o40SJN7D0ZiaUX23vXokuIN9pk364gmNADtE9PL1aBRowkNwKxqXdR3LhfQUIecU78Z0RBO+qzhBmmW3YcgsbRCuft7tEnxT8t8hNSjhIGd1L0E2sRYkEoxq1oXCNYfz7NZNfy3GK/P+FuBeDarhu/G/N9HsRbVib+V/xD0zFm0K+POsZ6LUSUXHl9sYWtFs29HEX87iAvjvken1ZEZm0KJZtVIfHo/mNtY4V67HA+LuB/i74dQvGk1Qo7n3w8lmlXj/tY3+9sR/DMIh/F/gL59+zJ58mR++ukntm/frk+fM2cOXbp0oWTJkvTo0QOpVMrdu3d58OABCxcupHz58uTm5rJmzRq6du3KpUuX2LBhw2tpkMvlhbqfc3MSXqusrCwl4U/y1/WLjIrFPyAIeztbPD1ebcLN9U3HaDbOm6SQGFIi4mk1qQfpcSn4P/vDA/rvno7/8ZvcfPqnd3XjUbqtGEX0vRCi7gbRcGhHzBVy7u4/B0BCUBSJITF0WjyMvxbtQpmcQaUO9SnbvDp7hy43OH7pptWwLOVB/O48BzX2p98p8+14Mu8FkXnnMe4juiC1siRhX16jXGb1eHKjk3jy9U4AJOZmWFYsof9u7uGMVbXSaDOzUT1dS8+uZW2QSMgOisSytCdesweRHfSEhH2ni6ybk5sP02Xcx8SGRhMfEcdHk3qTEpvM7RPX9TaTd83l9vFrnN6eN6C//4LhNO7WnO9GLCU7M1s/xk6ZlkXu04k3dq4O2Ls64FbKA4ASlUqRnakkMTKezNSM5zT8SddxPYgNjSYhIo6PJvUh+TkNX+6ay+3j1zm1Pc+pHrBgxFMNX6PMVBbSYGljxeQdc7CwlPPjF6uxtFVg+XRijCQxC53W0NE/t/ko7cZ9RHxoDEkRcXwwqRdpscncL7Cu4phds7h//AYXt+f9UVso5LiU9tDvd/Zyo1jVUmSlZJASlYiFQk6Hz3tw79g10uJTcSnpTtfpfUkIjcX3/F2e5/TmI3Qa1534p/XQdVJvUmOT8SmwruLnu2bjc/w6555qkCvkuD6noUTVUmSmZJD8dIJJ3U6NSU9KIzkygWKVS9Jr7mDunriB34V73Nl0jIbjvUkJjSUtPI4mk3uQGZdCUIHfRvc90wk8dlPvEN7eeJT2K0YRdz+EGJ8g6gzL+234/pz327Ar6UrFro0JP38fZWI6Np5O1P+0K+rsHELP5J136da1ULjYE3s3GImzBFmxUsh7jEATHY55g1Zo/O+iCfHHom13JBaW5F7KO1/LoV+iS05EdXAzqHPRRoUa1KFOmXdvPZ+OpQLzei3I3v8DLyLnxC9YDZ+CJvQRmuBHWLTvjkRuqZ8oYzV8KtqUBFQHNuVpiHxOQ9ZTDQXSVUd/RjFmFupH99H4+2BWowFmtZuQuXQSUkcXrIZPoVzPWBLuBFF1REfMrOQ83pdXn81WjyIrOpnbX+c9yPtuOs4HB2ZSbdQHPPnLhzLdmuBcsyyXp+T1akjMZLT+cTzONUrz16AVSGVS/XhIVUoG2lwNCg9HOh6YScaTBG4u2K1fwsdv71nqjfMmNSSWtIg4Gk7uQWZsSr4zCHy4ZzrBx27y4On9cPeno7RZOYr4eyHE+QRRc1iefv+n9wPkRUwVrvbYl3YHwLmyFzkZSjKiElGl5K8aULxptRdenzeC6JI2iXAY/wewt7fn448/5vDhw3h7e+vTO3TowJ9//sn8+fNZunQp5ubmVK5cmeHD856Ka9WqxcqVK1m6dCnTp0+nRYsWLFmyhIEDB76jM8njgf9jho6bqt9etuZHALp90JZFsya9UlmXN/yJuUJO5yXDsLRTEH4zgN0DlxqMpXIs6Y7C0Va/7fvnVRTOtrSc2CNv4W7fMHYPXErm0wHhWrWGvYOX0WZabz7ZNBkLaznJobH8NvEHAs8YOgN1PmlF+g0/soPyoq1Jv1/CzMmO4pN7Y+7qSNbDEAL6z0f9dCKBRTFXKODQmLs7Uv1E/qB+zzHeeI7xJu3yAx71nA2AzE5BiWkDsPB0Rp2STvKRq0Qu3YVOXfQCtUc3HEJuJWfQklF5izrf8GfloIX6aByAWyl3bJ3yu8DaDMhbXmTavvkGZW2avJZLB84C0Lpfe7p90Uu/b/r+BQBsnLyWSwfOGOQ7suEQFlaWDF4yGoWdNQE3/Fk5aMFzGjywccq/PvkaFhiU9az8UtXLUq5O3uziZee/N7CZ32wcyU8Mo0+nN/yOhZWcXktGYGWnIOTGI34Y9LWBBpdS7lgX0OBVsxyf7Z2j3/aenfebuX7gHHsmr0en0VKsSkkafNwCKztr0uKSeXT+HkdW/ozayPJIJzb8hoWVnL5LRqGwUxB0w581gxYbaHAt5Y5NgWtRsmY5Ju79Sr/dc/YgAK4cOMv2yXnnbe/myMezBmLn4kBqXDLXfj3PkTUHALi1/k/MreS8v2SofuHuQwOWGfw27Eu6YVXgvB//cQ0rJzsaT/w4b+Fu3zAODVimnzyjUeVSvEEl6gztiNzemqyEVCKv+fPzR/NRJubZqLNzqNanFS3m9MPCygxtcjzq2xdRHd2Xt3B3t4F5XdERwWStnokuPQUAqZMb2uei+i+DeYNWAOReP1O0IZB7/SwSW3ssvQcjsXdEEx5E5srp6NKeanB2e2WHQ337Esrtq5F37o2031i0MRFkrZuH5vEDNORNtqkz+enC3Q/DONl/GdlP69OmmItBexB/8zHnPvueulN6UndqL9JCYjg97FtSHj0BwNrDkZJPl8HpdtJwjPCxHouIueJHsRbVsSvjgV0ZD3rdMlwX9Maqg7T6eigWdnkLd//53P1gV8rwfgj84xqWTnY0nJR/P/w5YJnB5Jnq/d+nwcT8YVEf/ZLXbp2a+AOP9uevh1nFxFJCbxyxcLdJJLrn+80E/0nef/99qlWrxnffffeupejJTSii++cf4ut6s9+1BDqqTS9n8U+x3lz2riWg4903RQ6YXoT4nyKbf0eEo7LW4l1LYEiHlx/S8LbQqd/99Th4wuPFRm+ZrH/BmiqfRux868dQ+Z97sdFLIK/8Dzm4/yAiwvgfJzk5mbNnz3L27Fm+//77F2cQCAQCgeB/FdElbRLhMP7HqVOnDsnJySxdupRKlV5v8WeBQCAQCP4nELOkTSIcxv84oaGh71qCQCAQCAT/PxARRpP8C0YlCAQCgUAgEAj+zYgIo0AgEAgEAgGILukiEA6jQCAQCAQCAaDTiWV1TCG6pAUCgUAgEAgERSIijAKBQCAQCAQgJr0UgXAYBQKBQCAQCECMYSwC0SUtEAgEAoFAICgSEWEUvDP+Da/lm3ZrwYuN3jJf1Z/1riWw7of33rUEyM151wqInHL8XUvAo5vNu5YAQMalJ+9aAtnB7/51kT4PPN+1BK5bvfvfhvx/Jb4kuqRNIhxGgUAgEAgEAgCtmCVtiv+RRwaBQCAQCAQCwesiIowCgUAgEAgEILqki0A4jAKBQCAQCAQgZkkXgXAYBQKBQCAQCEBEGItAjGEUCAQCgUAgEBSJiDAKBAKBQCAQgOiSLgLhMAoEAoFAIBCAcBiLQHRJvwFatWrFF1988a5lCAQCgUAgELwVRIRR8E5pOfFj6vRpjaWdNRE3Azg6czNJobFF5qk/sB1NRnbGxtWeWL9wjs3dRtTdYP1+a1d72s7oS9lm1bGwsSQxOJqLa3/D/+gNAEo1rsLAfcbfrqJOiUSnVr1Q902f+2zZfQBf/0DiE5NYvWQ277d4s29LeX9CDxo8rZuwmwH8PmsziaExJu1LN6xM85FdKFajDHbujuwcuRK/Ezf1+6VmMtpN7knFVrVxKulGdrqSoIsPOL50T6Gy9p6/x7bTt0lMy6JicRem9mhBjVIeRo877LtfuRUYWSi9WdVSrB39IQBZqhxW/36ZM/eCSc3KpriTHX1a1qJnsxomz2fvxQdsO3uXxHQlFYs5M/WjptQo6WZcw/e/cysourCGKiVZO/wD/XZwbDKr/7zGreBo1FotZd0dWTGoHZ6OtiZ12PfpisPQHshcnMh5FEz8ou9R3X9k1NauxwfYdmuLRflSAKh8A0lctcXAvryv8bfJJCz/iZTNB4zuM2/cEfMW3ZDYOKCNCUX1+ya0TwKN2prVbY1lz88M0nS5OWTO6WPUXu49EvNGHVD9uZncS4eN2gAoPvLGundvpE5O5AYFkr76O3L9/I2X2aI5Nv37IyteHMxkaJ5EkrlvH9knThq1t5s0EUW3D0lbs5as/cbrAMCqmzeKXnka1EFBpK9ZjfqRCQ3NmqPom6dBIjNDHfkE5f6fyf7rhIGdrGQpbEaMwrxmLSQyGeqwMFLnzUYbF2e0XK8h7Sn9aVcs3OzJ8A3Hb8YW0u4EGbW1rlSC8lN6YlezLFYlXfGfvY3wH48a2JQZ3w23Tg2xrlAMbXYOKTcCCFiwmywj93NBukzoRdM+72NlZ03wTX/2zNpIfBHtQ/mGVWg38kO8apTBwd2JH0Z+w90TNwzrTCGn29R+1GrfAGtHWxIj4ji79SgXdhm/bh0n9KRJnzZY2lkTevMR+2dtIqEIDWUbVqbNyK6UqFEGe3cnNo1czoMCbRRAn+VjaNijpUGa3zkffhz0dZH18abQ6cTC3aYQDqMAgJycHCwsLP7RY743ugsNB3fgt0k/kBIRR6tJPem7Yxrr205Bo8o1mqdql8a0m9WPIzM3E+kTRKOhHem7Yxrft55MVmIaAN1WjsHSTsG+4SvISkqnundTPl43nk1dZxHzMIyIWwGsrP8pAOOOTwVAZu2IxNzqpZxFAKUym0rly/JR5/Z8MWPhG6gNQ5qP7kqTIR34ZdIGkiLiaDepJ4O3T2N1uy9Rm6gbC4WcaL8wbu0/S78fJhbab25lQbFqZTiz5iAxfuFY2VvTee5ABmycDNFH9HbHbwew4uAFZn7SmhqlPNh1zodPv/+d32b1x8lWUajclcM6kavJb2RTMrP5ZOke2tWpoE9bfvAiNwKesGhge4o52XHFP5wl+8/iam9NqxplC5V5/E4gK36/wswezalR0p1dF+7x6Y+H+W1qb5xsrQprGNyeXHV+V1JKVjafrDhAu5r5ZUckpDJk7W94N6zMmA71sbY0JygmGbmZ6WbQpmNLXKaOJG7eGrLv+eMw4COK/biI8M7D0CSlFrK3aliT9MNnyPbxRafKxXF4L4r9tJjwD0eiiUsEIKRFb4M8iuYNcFswgYwTF41qMKvxHhadB6M69AOaiMdYNO2C1dDZZK0Yhy4zzWgeXXYmWSvGF0wxaier2hCpV0W0qYkm6wDAsk1rbMd+StqKleT4+mHdsweOy78hod8AtCkphY+flk7Gjh2ow8MhV438vSbYT5uGNjmFnBvPOSnNm2FetSqa+PgiNchbtcZm9FjSV60k198XRfeeOCxdTuLg/uiMaNCmp5O5ayeaiHDIzcWiSRNsp0xFm5JMzs08DTLPYjiuXoPy6BEyt21Bl5mJrHRpdDnGX8Xn3q0JleYNwHfKRlJvB1JqZCfq7Z3OpaYTyUkofC1kVhYow+KI/eMqleYPNFqmY5MqRGw5QapPEBKZlAozelNv3wwut5iMJst4e9RudDdaDfmA7ZPWkRgRR5dJnzBu+0zmt5tYZPvwxC+Uy/tPM+qHL43afDxrEBXfq87WCWtIfBJPleY16b1gOCmxSQT8dcfAts3oD2kxpCO7J31PYkQ8H0zqxejt0/m63eQiNFgS6RfGtf1nGfrDJKM2AH5nfdjz5Xr9tlqlNmn7xnmHXdLr1q3jm2++ISYmhlq1arFmzRoaNmxo0n7VqlWsX7+e8PBwXFxc6NGjB0uWLMHS0vKt6BNd0m8IrVbLlClTcHJywsPDg6+++kq/Lzw8nG7dumFjY4OdnR29evUiNjY/ivbVV19Ru3ZtNm/eTMmSJbGxseHTTz9Fo9GwbNkyPDw8cHNzY9GiRQbHTElJYfjw4bi6umJnZ0ebNm24e/fuS+l9dsyNGzdSpkwZ/Q1WunRpVq1aZWBbu3Ztg/ORSCRs3LiRjz76CIVCQYUKFfj9999frcKAhsM6cmHtIQJO3iLOP4LfJq7H1s2Byu3rmczTePgH3Nl7hrv7z5PwOJLDMzaTq1RRu1f+E6lXvQrc2HqCqLvBpETEc3HNIbLTMvGoUQYAba6GzPhUMuNTQacBnQaJhTXa7PSX1t68SQPGjxxE25ZNX/m8X4amQztyds0h/E7eItY/gv0T12Pr7kCV9vVN5gk4e5e/VuzH9/hNo/tV6Uq2DFjCg8PXSAiOJuJOIH/M2UrxmmWRWOa/v3jHGR+6v1cN78ZVKefpxKxerbG0MOPQVV+j5dpbW+JiZ63/XPWPwNLcjPa1y+tt7oZE07VhZRpUKEFxZzt6NK1OxWIuPAgzHk3ecf4+3RtXwbthZcp5ODLr4xZYmptx6LrxaJK9whIXO4X+czXgSZ6GWvkO49qjN2hWpSQTujamcgkXvFzsaVW9tFEH9BkOg7uTuv8Y6QdPkBsUTvy879Blq7Dt3sGofeyUpaTt/ZMc/2ByQyKIm/0tEqkEReM6ehtNQrLBx7pNE5TX76J+YjwyY968K7k3/kJ96wy6uCeoDv2ALkeFWf33TepGB7qMlAKfws6txM4J+YfDUe1b/cLXoSl69STrz8Mojx5DExZG2oqV6LKzsercyah9jo8PqgsX0YSFo4mKIuvAL6iDg7CoaRhRlrq4YPf556QuWAjqF2jo0QvlkT/JPn4UTVgY6atWoFNlY9XRuIbcuz7kXLqAJjwMTXQUyl9/QR0cjHn1fA3Ww4aTc+0amT9uQB34GE10FDlXLht1QAFKj+7Mk52nidp7jsyASHy/3IhGmUOxPq2M2qf5BBMwfxcxh66gNeH03O7zNVH7zpH56AkZvuE8+Hw9Vl6u2NUsY7Iu2gztxLE1v3Lv5E0i/cPZNnEt9u6O1GrfwGQe37M+/LFiH3eP3zBpU7ZeRa79co7HV31JehLPpT2niPQLo3St8oVsWw79gBNrDvLg5C2i/cPZPXEddu6O1CiijfI/68PRFT9zvwgNAOqcXNLjU/UfZVpmkfb/Bfbt28fEiROZO3cut2/fplatWnTo0IE4E5Hu3bt3M23aNObOnYufnx+bNm1i3759zJgx461pFA7jG2Lbtm1YW1tz7do1li1bxvz58zl58iRarZZu3bqRlJTEuXPnOHnyJMHBwXzyyScG+YOCgjh69CjHjh1jz549bNq0ic6dO/PkyRPOnTvH0qVLmTVrFteuXdPn6dmzJ3FxcRw9epRbt25Rt25d3n//fZKSkl5Kc2BgIL/88gu//vorPj4+r3S+8+bNo1evXty7d49OnTrRr1+/lz7uM2zdHAm5+FC/rUpXEukTRPG6FYzaS81leNYoQ8jFB/mJOh0hFx9QokCeiFuPqdq1MZb21iCRUK1rY8zk5oRd8TNarsTCGiRStKqXdxjfJo5ebti6ORJ0Kf88VelKnvgEUdJE3bwulrYKtFotuty8SEauWoNfRByNKnnpbaRSCY0qeXEvxHRXU0EOXfWlQ72KWMnN9Wm1ynhy9kEIsSkZ6HQ6bgQ8ISw+hSaVSxbKn6vW4PcknkYVihtqqFiCeyYczEIarj2iQ51yeg1arY4LfuGUcrVnzA+HaT13G/1XH+T0/RDThZibIa9aAeXV2/lpOh1ZV+5gWbvqS+mQWMrBzAxNqvF7S+bsgHWLhqT9YrybGpkZ0mLl0ATeM9CgCbqHrGRF0we2sEQxZQOKqT9gOWAqUjcvw/0SCfJe48k9/xvauIiiT8LMDPOKlci5ectAQ86tW5hXe7l6sKhbF5mXFzkFH2glEuxnzSBz717UoaEv1GBWsSI5t5/TcPsW5lWrvZQG8zp1MSvhRc79e/rjWzRqgvpJBPZff4PLgUM4rl2PRdNmRvNLzGXY1ixD4oX7BhqSzt/HoX4R1+IVMXsaxc9NyTC639nLDXs3R/wv5d8T2elKQn0CKVv37+kIvhVAzbb1sHd3BKBik2q4lfHE78I9AztnLzfs3BwJuJRfF9npSsJ8Ain9NzUAlG9clfk3f2D6qZX0WDgMhYPNizO9KXTaN/N5RVauXMmIESMYMmQIVatWZcOGDSgUCjZv3mzU/vLlyzRt2pS+fftSunRp2rdvT58+fbh+/frfrQGTiC7pN0TNmjWZO3cuABUqVGDt2rWcOnUKgPv37xMSEoKXV16jvX37dqpVq8aNGzdo0CDviVCr1bJ582ZsbW2pWrUqrVu35tGjRxw5cgSpVEqlSpVYunQpZ86coVGjRly8eJHr168TFxeHXC4HYPny5Rw6dIgDBw4wcuTIF2rOyclh+/btuLq6vvL5Dh48mD598sZELV68mO+++47r16/TsWPHVyonMyG10LaNq4NRW4WjLVIzGRmF8qThUq6YfvuXsd/x8dpxfHnvRzS5anKVOewfuYpkE86G1NIWXa7yX/PSeVtXewAy4g3PMyM+FZun+94EZnJzOkzrw73fr1DJKq8LKTlTiUarw/m5rmdnWwWhsckvLPN+WAyB0YnM7dvGIH3axy2Zv+80HeZswUwqRSKBOX3aUK988UJlJGdmP9VgGPlztrEiNC7lxRrC4wiMSWLuJ/lR56QMJVmqXDaf9mFsxwZ83qURl/0jmLTtBD+N6Ur9AvfPM2QOdkjMZGgSDI+pSUzGoqxXIXtjuEwahiYuEeWV20b323ZrhzZLSeZJ493REoUtEpkMXYahBl16KlLXwnUHoE2IRPXLOrQxYWCpwKJ5N6zGLCLr2y/QpeU91Jm38AathtzLpscsPkNqb4/ETIY22fCBUJOUjEXJwg6/Xru1Na6/HEBiYQ4aLWnffmvgdFr37QMaDVkHfnk5DTIztMmG96A2ORkzr6I1OO87gMTcArQa0levIvdWXgRe6uCIVKHAundfMrZsIvOnH7Bo0BD7rxaQMukLcu8Z9tZYONkhNZOR89zvUhWfinUF49filZFIqLxwEMnX/Mnwf2LUxP5p+5j2nI60+FTsTLSdL8vPX22m75JRLLn2A5pcNVqtjt3TfyDwuh/yAvEl26fHMdZG2f5NDf7nfLh37DpJEXE4l3Kn85e9Gbl1Gqu7z/5b5b40b6hLWqVSoVIZDimQy+X6/+uC5OTkcOvWLaZPn65Pk0qltG3blitXrhgt/7333mPnzp1cv36dhg0bEhwczJEjRxgwYMAb0W8M4TC+IWrWrGmw7enpSVxcHH5+fnh5eemdRYCqVavi4OCAn5+f3mEsXbo0trb5A+/d3d2RyWRIpVKDtGfh6bt375KRkYGzs7PBcZVKJUFBxgdgP0+pUqVey1kEw/O1trbGzs7OZOgcIDc3F7MCY8WysrKwtrZ+rWO/iFaTemBpp2BH38Uok9Kp1L4+H68bx7aeC4h79Fw0RSpDYm6FJt209rdNrW5N6bZ4mH57+9Blb/2YUjMZvdeORyKB32dt5ssVdV6c6SU4dMWXCsWcC02Q2XP+LvdDY1g9ogueTrbcDopkyf5zuNpb07iS6T/819JwzZ8Knk4GE2S0urwxfK2qlWZAy7x7t3JxF+6GxnLgsq9Rh/Hv4jC8FzadWhE56Et0OcbHdNl170D6n6dN7n8dtOEBaMMD9NvZYY9QTFyNeaP25Jzci7RYWcybdka5xvg4tjeFLiuLxGHDkVhZYVGvLrZjx6KJiibHxwezihVR9OhB4vARb11D8sg8DeZ162Iz5lM00VHk3vUBqQQA1eVLKH/ZD4A6KBDzatWx6tqtkMP4T1Dl66HYVPLi+odz9WkeHzdl5Tf59bR+6JK3dvxWgz6gTO0KrB+2lKTIeMo3rMIn84fhXq44rQfnTx77aejSt6bhzh/5DlL0owii/cKZdeE7yjd+uUjyv4UlS5Ywb948g7S5c+caDO96RkJCAhqNBnd3d4N0d3d3/P2ND8Pp27cvCQkJNGvWDJ1Oh1qtZvTo0W+1S1o4jG8Ic3Nzg22JRIL2FZ5UjOUvqsyMjAw8PT05e/ZsobIcHBxe6pjGHDapVIpOZzhAPje38J/Zq57vN998YxBal8vlPHz4EGsXezIKRI2sXeyJ8Q0zWkZWcjpatQYbF8Mom7WLnf5J17GkGw0Hd2BD2ynEP86buRvrF45Xw0rUH9iOIzMNw/tSuS3otOhy3t0YGb+/bhHhkz/j1cwi72dp42pPenyKPt3G1Z5oE3XzKkjNZPRZNx6HEi5s6rMIVYZSv8/R2gqZVEJiepZBnsT0LFyMTHgpiFKVy/HbjxnTqZFBenaOmjV/XmHl8E60qJY3LqticRcePUlg+6k7hRxGR2vLpxqUBumJGUpcihhvqNfgE8SYDobjqBytLTGTSin3tKvtGWXcHbhjoqtdk5KGTq1B5uJgkC5zdkSdUHS01WFIDxyHf0LUsGnkBBjv9rasVx2Lsl7ETFpsshxdVjo6jQaJjaEGia09uvSUIjXo0WrQRoUgcfbM01+mChJrexRTf8gvTybDotMgzJt2IWvZGMPsqano1Bqkjk4G6TInR7RFDUPR6dBE5v0G1YGBmJUqhXX/vuT4+GBRqyZSRwdc9/+cr8FMhu2nY7Du0YP4TwwnBmlTU9Fp1EgdDa+f1PElNEQ91RAUiFnJUij69CP1rs/T81KjDgs1yKIODzMY5/iMnKQ0tGoNFs9F+eWu9qheIvL9IiovHoJru7rc8P4KVXT+OcUfu8UvD/MfAMws8tpeO1d70gq0D3au9jzxNTyXV8Fcbs6HX/bhx1Hf8OBM3gSXSP9wSlQtTala5VjeaWohDTbPabBxtSfqDbRRBUmMiCMjMQ2X0u4vNn4TvKFXA06fPp2JEw0nHxqLLr4uZ8+eZfHixXz//fc0atSIwMBAPv/8cxYsWMDs2W8nGiscxrdMlSpViIiIICIiQh9l9PX1JSUlhapVX278jzHq1q1LTEwMZmZmlC5d+g2pBVdXV6Kj85dzSEtLIySkiHFeL8mkSZP47DPDpT7S45Ip07QasU8bGAsbK4rXLsetnX8ZLUObqyH6fgilm1bj0YmnXVsSCWWaVufGtrylMsyt8n6Qzzu9Oo0WydOIQkGklravNNnlbZCTmU1SZrZBWnpcMmXfq6Z3EOU2VpSoXY5rJurmZXnmLDqX9mBjn4UonxsnZW4mo4qXG9cDntCmZjkgb/zf9UcR9G5R01iRek74BJKj1tC5QSWDdLVGi1qjRSoxrH+pVKKP/BXSUMKV648jafNsopJWx/XHkfRuWnSU4cTd4DwN9QzHepqbyajq5UpogT83gLD4VNNL6uSqUfk+xqpxHTJPPY16SCQoGtcmZbfpSV4OQ3viOKoPUSNmoHr42KSdXfcOZD8IIOdRsEkbNGq0UUHIytVA43tdr0FWria5V46azlcQiRSpeynUAXnd4rl3zhmOiQQsh8xGfec8ubdOF86vVpMb8AiLenVRXbyo12BRtx5ZBw++nIaneSTmeSsxKI+fMBwTCTguX4byxEmUR4ycl1qNOiAAizr1yLlUQEOduigPvYoGKZJnD7tqNepH/oW6tM1KeKGNLTx8RZerIf1eCM7NqxN/9KZeg1Pz6oRvNjEG9SWpvHgIbp0acPOj+SjDDWeLazKziQ8zfIBLjUum0ns1ePK0fbC0saJ07fKc32m4ZNCrIDM3w8zCrNBvUqvVglZHwnNDetLikqn4XnW9gyi3saJU7fJc3ml8CZ7Xxd7DCYWjDWlvwCl/Kd5Ql7Sp7mdjuLi4IJPJDCbDAsTGxuLhYXw5s9mzZzNgwACGDx8OQI0aNcjMzGTkyJHMnDnToHfyTSEcxrdM27ZtqVGjBv369WPVqlWo1Wo+/fRTWrZsSf36pmeTvUy5TZo0wdvbm2XLllGxYkWioqI4fPgwH3300WuX3aZNG7Zu3UrXrl1xcHBgzpw5yGSy19b5DGM/nlPr9tBsnDdJITGkRMTTalIP0uNS8D+R/0fSf/d0/I/f5Oa2vEbo6sajdFsxiuh7IUTdDaLh0I6YK+Tc3X8OgISgKBJDYui0eBh/LdqFMjmDSh3qU7Z5dfYOXW5w/NJNqyGRmb/WZJesLCXhT6L025FRsfgHBGFvZ4unh/G1Al+FS5uP0XrcRySGxpAcEU/bST1Jj00xWFdx6K4Z+B6/ydXteX8SFgo5zqXzGxdHL1c8q5YiKyWD1KhEpGYy+q7/HM9qZdgx7BukMmn+mEiJVP9kPaB1bWbv/IuqXm5UL+XOrrM+KHPUdGuU94Aza8cJ3OxtGP+h4bqTh648pHXNsjhYG0YBbawsqFe+ON/+dgm5uRnFnGy5GRjFnzf8meTd3Oj5D2hRg9l7z1LVy5XqJd3Ydf4+ypxcujXMc0Zn7T6Nm7014zsbRjMPXfendfXSOFgXXlZicOtaTNnxF3XLetKgfDEu+0dw3jeMjWO6mrwOKVt/xW3JZFQPAsi+/wiHgR8hsbIk/WBenbst+RJNXAKJ324BwGFYL5zHDSDmy6Woo2KRueRFxLRZSnRZ+Q8FEmsFNh1akPDNjyaP/YzcC38g7zkObWSQflkdiYUc9VPnTt5zHLq0JHKO7wLAvE1PtBEBaBNikFgpMG/hjcTRhdwbTx82sjLQZj03oUKrQZeRjC4hCmNk/bwf++nTyX30iFy/vGV1JFaWeufOfsZ0NAkJZPz4EwDW/fqS++gRmsgosDBH3rgxVh3ak7biWwB0aWmo055bhkatQZuUhCbC+CScrAM/Yzd1OuoAf3L9/VF83AOJpRXK43kabKfOQJsQT+amPA2KPv3IDXiEJioSibkFFo0aYdmuPemrV+rLzNy3F/vZc7G8d5dcnztYNGiIRZMmpEz8wqiG0A2Hqf7dGNJ8gkm9E0jJkZ2QKeRE7c1rf6qv+ZTsmCQCF+0F8ibK2FQskffdQoalhxO21UqhzsxG+XS92SpfD8Wje1N8Bi1HnaHURzDV6Vlos40PVTi9+QgfjOtOXGg0iRFxdJ3Um9TYZIN1Fcfvms3d49c5tz3PmZUr5LgWaB+cvdwoUbUUmSkZJEclkp2hJODqQ7pP709udg5JT+Kp0Lgqjbq35JeF2wppOLf5KO3GfUR8aAxJEXF8MKkXabHJ3C/QRo3ZNYv7x29w8akGC4Ucl+c0FHvaRqVEJWKhkNPh8x7cO3aNtPhUXEq603V6XxJCY/E//w8NEXhDEcZXwcLCgnr16nHq1Cm8vb2BPEf91KlThQItz8jKyirkFD77r34+YPKmEA7jW0YikfDbb78xbtw4WrRogVQqpWPHjqxZs+Zvl3vkyBFmzpzJkCFDiI+Px8PDgxYtWhQaB/EqTJ8+nZCQELp06YK9vT0LFix4IxFGY1ze8CfmCjmdlwzD0k5B+M0Adg9carAGo2NJdxQFIkC+f15F4WxLy4k98hbu9g1j98ClZD5dA02r1rB38DLaTOvNJ5smY2EtJzk0lt8m/kDgGcMGp84nrdDmZoPm1cePPfB/zNBx+V00y9bk/fF3+6Ati2aZXl/sZbmw4Q8srOR4LxmOpZ2CsBsBbB30tcH6Zk6l3FE45ddN8ZplGb43vyui8+y8wc+3D5zjl8k/YOfhSJV2eQ8S444aLoKrun4QbXJe112HuhVJzlCy/sg1EtIyqVTCle/HfIizXV6XdHRyBpLnooWhscncCY5m/afdjJ7P0sEd+O6PK8zYfoK0rGw8HW35rHMTejarbtS+Q53yJGdms/74TRLSsqhU3IXvR3TST8aJTjGiIS6FOyExrB/Z2WiZbWqUYdbHzdl0+g7LDl6ilJsDywe1p05ZT6P2ABnHziFzssdp3EDMXBxR+QcTNWommsQUAMw9XQ0iEva9OyOxsMBztWGXUNK6HSSt26nftu3UEiSQcfiMyWM/Q33/MhIbeyza9kZi64A2OgTlloX6pXKkDi4GUSGJlTXyj8YgsXVAp8xAGxmMcv1MdHHGJ1G8DNmnzyB1cMB26JC8hbsDA0mePEU/CUXm7g4GGqywmzgBmasrOpUKdXg4qQsXkX36xedrCtXZM2TYO2A9eChSRyfUQYGkTPsS3TMNbm4Gf/YSS0tsx+dr0ESEk7ZkIaqz+RpyLl0gfdVKFH36IftsPOqIcFK/mkPug/uFjg8Q+9sVLJztKDelJ3I3B9IfhnG7z9f6iTCWxV3QafPrQe7hRJPT+eP9So/tSumxXUm65MvN7vOBvIXAARocmktBHoxfT9S+c0Z1nNzwG3IrOX2XjEJhpyDohj9rBy02aB9cS7lj42Sn3y5ZsxwT9n6l3+4xexAAVw6cZcfk7wHYPG4V3ab0Zciq8SgcbEiKjOf3b/ZwYedJg0kvAKc3/I6FlZxeS0ZgZacg5MYjfniujXIp5Y51gTbKq2Y5Pts7R7/tPTtvbcrrB86xZ/J6dBotxaqUpMHHLbCysyYtLplH5+9xZOXPaHL+wbUY3wETJ05k0KBB1K9fn4YNG7Jq1SoyMzMZMmQIAAMHDqR48eIsWZI3hrVr166sXLmSOnXq6LukZ8+eTdeuXd9IkMcYEt3bckUFghewoFS/dy2BabcWvGsJfFXf+Ftn/klm/fBm31LzWuQaXyz5nyRyyt/rWnwTeHT7B5cQKYKMS0Uv5v1PIDV/939PPg9MP1D8UxyyevfvN37eYXwXfBu6960fQ3n0uzdSjtUH419s9Bxr167VL9xdu3ZtvvvuOxo1yutFadWqFaVLl2br1q0AqNVqFi1axI4dO4iMjMTV1ZWuXbuyaNGil57H8KqICKNAIBAIBAIBvNM3vXz22Wcmu6Cfn+BqZmbG3Llz9cv5/RO8+0cGwVuhWrVq2NjYGP3s2rXrXcsTCAQCgUDw/wgRYfyPcuTIEaPL4QB/a4yjQCAQCAT/Wd7BpJf/LwiH8T9KqVKl3rUEgUAgEAj+f/EOu6T/7YguaYFAIBAIBAJBkYgIo0AgEAgEAgGILukiEA6jQCAQCAQCAYgu6SIQDqNAIBAIBAIBiAhjEYgxjAKBQCAQCASCIhERRoFAIBAIBAIQXdJFIBxGwTujozrrXUv4V7yW76ubC9+1BD6oM+ZdS0DzL+gK+snu3Xe69NqlfNcSALiRGv2uJfCtdYN3LYEQy3f/esL5Vd79tTjjU+JdS/hnEA6jSd596ygQCAQCgUAg+FcjIowCgUAgEAgEALp3H1H+tyIcRoFAIBAIBAIQXdJFILqkBQKBQCAQCARFIiKMAoFAIBAIBCAijEUgHEaBQCAQCAQCEAt3F4HokhYIBAKBQCAQFImIMAoEAoFAIBCA6JIuAuEwviFatWpF7dq1WbVq1buW8v8Wt0Ef4DHGG3NXB7J8QwmfvZFMn8dGbS0relF8ch+sa5ZD7uVG+NxNxG7808BGam1J8Sl9cezYCHNne7IehhA+ZxOZdwNfqOX9CT1o0Kc1lnbWhN0M4PdZm0kMjTFpX7phZZqP7EKxGmWwc3dk58iV+J24ma/FTEa7yT2p2Ko2TiXdyE5XEnTxAceX7nnJ2inMTZ/7bNl9AF//QOITk1i9ZDbvt3jvtcszxqBJA+nUpyM29jY8vOHL6hnfERkaZdK+64AudB3QGfcS7gCEBYSxY9UubpzNr4svloynbvM6OLs7o8xU4nvLj58WbyI0MMxomUMmD6Jznw+wsbfhwY2HfDvjOyJDIk1q+HBAFz4c2BWPpxpCA8LYvmon18/cMGr/9Y5FNGrdkFnD5sKVq4X22/fpisPQHshcnMh5FEz8ou9R3X9ktCy7Hh9g260tFuVLAaDyDSRx1RYD+/K+x43mTVj+EymbD5g8r+fpP7E/Hft2xNrOGt+bvqybsY6oIq5Np/6d6Pzctdmzeg83C1ybFzF1xngGDOqJnb0d16/dZsqErwgONn7dAL6c9hlTpo8zSHscEMx7DT7Qby9fNY8Wrd7Dw8ONzMwsbly7w/y5y2nRsjHeX3yKlas9yb7h3Ji1nUSfYJPHKtmlIbWm9MCmhAtpIbHcWbSXqNN39ftrTupOqW6NsS7mhCZHQ9L9EHy+3k/inaBCZUktzOh4eB5O1Urx4wczqNyxPnWetgcRNwM4OnMzSaGxRdZV/YHtaDKyMzau9sT6hXNs7jai7ubrt3a1p+2MvpRtVh0LG0sSg6O5uPY3/I/m36fjLq7CwcvVoNzMzT+gU2Zh1aM3Ukcn1MFBZK5fjTrA36gOi/eaY/VJf2TFiiMxM0MT+QTlrz+jOn0i38jSCushI7F4rxlSW3s0sdFk//YL2Ud+z9vdxZtOP/bH0tWeFN9w7szcRnIR16JEl4ZUm9oT6xIuZITEcm/hHmIKXAsA2wrFqDmzN65NqiAxk5IWEMnl4atRRiYCUHfZUNybV8fK3RF1VjYJN4z/F7xxxLI6JhFd0oK/RenSpd+Ik+z0YVO85g4hauU+HnacRJZvKBV3zcHM2d6ovcxKjio8lieLd5ATm2TUpszysdg3r0Xw+NU8aPsFqed8qLj3K8w9nIrU0nx0V5oM6cBvMzez3ns2ucpsBm+fhpnc3GQeC4WcaL8w/pizxeh+cysLilUrw5k1B1nXZSa7R3+LSzlPBmycXKSWolAqs6lUviwzJ3362mUUxSdjevHRkG6snrGGz7p+TrYym693Lsa8iHqIj45n45LNfNrpMz7tPI47l+8yf9NXlKpYSm/z+P5jvpm0gqGtRzCt/0yQwNJdi5FKCzdHvT/9hO5DvPl2+mo+7TqO7Kxslu1c8gINCfy0ZBOjOo1ldKex3Lnkw8JN8yhdQMMzegzvXuT/g03HlrhMHUnS97uI6DEWlX8wxX5chMzJ+H1p1bAm6YfPEDlkCk/6TkAdE0+xnxYjc3PW24S06G3wiZ25Ap1WS8aJi6aFPK97TA8+HPIha6evZcKHE8jOymbBzgVF1ktCTAJbvt7C+M7j+bzL59y9fJfZG2dTsmLJlzrmuC9GMGLUACZP+IqO7/ciK1PJvoObkMstiszn5xtAtQpN9Z8uHfoa7L/r85DPP51O04ad+KT7MCQSCX8e28X8xdO5t/IgRzrMItk3nDa7pyJ3tjN6DJf6FWj2/ViC9pzjcPtZPDl2i5abJ2BfKf/tJGnB0dyYuY0/20znhPd8MiMSeH/PVOROtoXKqzurD8qYZABq9WxBw8EdODJjC5u7zSE3S0XfHdOQFVHXVbs0pt2sfpxf/Ss/dZlFrF84fXdMQ1FAf7eVY3Au68m+4Sv4of00/I/d5ON14/GoZnifnl2xn8S+H+k/msRErEeOJWvXNlLGjUATEoTdwuVI7B2MatGlp6Pct5PUiWNJ/nQo2SePYjNxKuZ189+iYzNyLBb1G5KxbBHJIweiPHQA608/x6LRe1i0aI31yLH4rviVkx1mkeobTos900xeC+f6FWi0/jNCdp/lZPuZRB67SdMtE7ErcC2sS7nR+tAc0gKjOfvxQk60mY7vt4fQZufqbZLvhXBjwo8ca/El5/ssRSIxWd1vFq32zXz+gwiH8T+ITqdDrVa/axmvhPuID4nffZKEn0+T/fgJYdM2oFWqcOn9vlH7zLuBPFm4jaTfL6LLKXyuEksLHDs1IWLRdjKu+aIKjSFq5T5UoTG4DexYpJamQztyds0h/E7eItY/gv0T12Pr7kCV9vVN5gk4e5e/VuzH97jxaI0qXcmWAUt4cPgaCcHRRNwJ5I85WylesyxIZUXqMUXzJg0YP3IQbVs2fa38L6L7MG92rdnD5RNXCPEPYekXy3B2d6ZpB9NRzKt/XeP6mRtEhkYRGRLJlmVbUWZlU6VOZb3N4d1HuX/tAbFPYgl8EMiWZdtwK+6Gh5d7ofJ6DPuIHd/t4tKJKwT7hbDki6W4uDvTrIPpc77y11Wunb5OZEgkT0Ii2bRsC8osJVXrVjGwK1e1HL1G9WDZpOUmy3IY3J3U/cdIP3iC3KBw4ud9hy5bhW33DkbtY6csJW3vn+T4B5MbEkHc7G+RSCUoGtfR22gSkg0+1m2aoLx+F/UT0xHs5/Ee5s3eNXu5evIqof6hrJiwAmc3Z5q0b2Iyz/W/rnPzzE2inl6b7d9sJzsrm8oFrk1RjBozkJXL13PsyCl8Hz5i7OgpeHi48UGXtkXm06g1xMUl6D9JSckG+3ds/Zkrl28SER7Jvbu+LFm4CmcXJ347eITgfedJfRzFtalb0ChVlO/T0ugxKg/vQNSZe/iuP0xaYBR3vzlA0v1QKg1pp7cJPXiFmAsPyQiPJzUgkltf7cLCToFjVUOHuVjrmni2rM7t+bsBqOH9HhfWHiLg5C3i/CP4beJ6bN0cqNy+nslzbjz8A+7sPcPd/edJeBzJ4RmbyVWqqN0rX79XvQrc2HqCqLvBpETEc3HNIbLTMvGoUcagLFVGNrrkJP3Hqqs32Uf/RHXyKJrwMDLWrECnysayfSejWnLv+5Bz+QKaiDC00VFk//YLmpBgzKvV0NuYValG9l/Hyb3vgzYuBtXRP9AEB2FWqQpWH/Ui++ifhO47T3pAJLembEajVFHaxLWoMLwjMWfuEbD+MOmPo3i47ADJ90MpP7S93qb6tF7EnL7L/YV7SHkQRmZYHNEnbqNKTNPbhOw8Q8JVf7KeJJByP5QHS/ebrG/BP4NwGN8Shw8fxt7enl27dhVpN3jwYLy9vZk3bx6urq7Y2dkxevRocnJy9DZarZYlS5ZQpkwZrKysqFWrFgcO5HddnT17FolEwtGjR6lXrx5yuZyLFy+i1WpZtmwZ5cuXRy6XU7JkSRYtWqTPFxERQa9evXBwcMDJyYlu3boRGhpaSNvy5cvx9PTE2dmZsWPHkpub9xTYqlUrwsLCmDBhAhKJBMlrPgJKzM2wrlmOtAsFuix0OtIu3sOmXqXXK1MmRWImQ6vKMUjXZudg06CKiVzg6OWGrZsjQZce6NNU6Uqe+ARRsm6F19JiCktbBVqt9l85K8+zpAfO7s7cvnBbn5aZnoWfj38hx8sUUqmUVh+2xNJKju9tP6M2llZyOn7SnuiwaOKi4o1quHXhTiEN1epVfWkNrT9shaWVJQ9v+erT5ZZyZq2dzuqZa0iOTzae2dwMedUKKK/m1wE6HVlX7mBZ++WOL7GUg5kZmtR0o/tlzg5Yt2hI2i/Gu6mN4VHSAyc3J3wu+ujTstKzeOTziCr1Xv7atOjaAksrS/xMXJuClCpdAncPN86fvaxPS0/L4PbNuzRoUKeInFCmXCnu+1/gxt2/WP/TcoqX8DRpq1BY0W9AD3Q6HccOn87fodMRfeEhLvXKG83nWq88MRceGKRFn7uHqwl7qbmM8v1bk5OaSbJvfpe6pYsdjb4ZzqVxG1Ar89oOhZMdIRcf6m1U6UoifYIobqI9kJrL8KxRhpCLBfTodIRcfECJAnkibj2matfGWNpbg0RCta6NMZObE3bF8Ho0HdMVp32/47B2I1Y9+2JWoRK5PrcMys71uYVZlWpG9TyPee26yEp4kfvgnj5N7fcQi8ZNkTq75NnUrIO0uBc5d29jVqFioePFXniAcz3j5+9cvzxxz12LmLP3cH52LSQSPNvWJj04muZ7ptL1/ve0OTyPYh1NO+AyKzmlext3UN84IsJoEjGG8S2we/duRo8eze7du+nSpcsL7U+dOoWlpSVnz54lNDSUIUOG4OzsrHfulixZws6dO9mwYQMVKlTg/Pnz9O/fH1dXV1q2zP8RTZs2jeXLl1O2bFkcHR2ZPn06P/30E99++y3NmjUjOjoaf/+8cS65ubl06NCBJk2acOHCBczMzFi4cCEdO3bk3r17WFjkdTOdOXMGT09Pzpw5Q2BgIJ988gm1a9dmxIgR/Prrr9SqVYuRI0cyYsSI164vMydbJGYychNSDdJz41OwLFf8tcrUZmaTcdOfYp/3IvjxE3LjU3H2bo5NvYpkFzEW0dY1r6sxI95QS0Z8KjauxrshXwczuTkdpvXh3u9XqNbM9B/ou8LRNa/bPjkhxSA9JT4FJ7eiu/TLVC7Nd4dWYSG3QJmp5KsR8wl/HG5g8+HALoyYMRwrayvCAyOY0m866lzDSLGTXoOhQ5ccn4yTq+MLNaz77Tu9hjkj5hFWQMPYr0bz8JYvl05cMVmGzMEOiZkMzXN1oElMxqKsV5HHf4bLpGFo4hJRXrltdL9tt3Zos5Rknnz57mjHp+f+fL2kJKTo95midKXSrDi0Ql8vC0YuIOJxxAuP6eaWN44uPi7RID0+PhE3dxeT+W7fvMf4T6cT+DgEdw9XJk8dyx9Hd9G8SVcyMzL1dkOG92XuvMlY21gTHBSGRCIhOjoWyO/2zU5Ixb688d+KpasD2QlpBmnZ8WlYujkYpBVvW5tm6z/DzMoCZWwKp3ovRZWUod/fZNUoHu84RdK9EKxL5J9X5nNtU2ZCKjauhmU/Q+Foi9RMRkahPGm4lCum3/5l7Hd8vHYcX977EU2umlxlDvtHriI5LH9s5PWtx4l5EEpXpyDMq1ZHMWQUEpkMbbLhtdcmJ2NewvTQAonCGqedB8DcArQaMtatIvdOfm9IxvrV2IyfjNPOX9Cp1aDTkrF6OdqIcCQys0LHy45Pw7Z8secPAzy9Fs+1n6r4VP21kLvYYW5jReXPuvJg6X7uLdyLR+uavLfpC872WETClfyxmOUGtaXm7D6YWVuSFmh6fO4b5V/4AP9vQTiMb5h169Yxc+ZM/vjjDwNnrigsLCzYvHkzCoWCatWqMX/+fL788ksWLFhAbm4uixcv5q+//qJJk7zuprJly3Lx4kV++OEHg2PMnz+fdu3yumDS09NZvXo1a9euZdCgQQCUK1eOZs2aAbBv3z60Wi0bN27URwa3bNmCg4MDZ8+epX37vO4DR0dH1q5di0wmo3LlynTu3JlTp04xYsQInJyckMlk2Nra4uHhUeQ5qlQqVCqVQVqOToOF5PW6Y1+G4PGrKb3iM2rf3oxOrSHzfjBJhy6iqFlOb1OrW1O6LR6m394+dNlb0/MMqZmM3mvHI5HA77M2U+3szLd+zBfRxrs1E77+XL89c/Ds1y4rIugJozp+irWtghadmjPl28lM7PmlgdN46uBpbp2/jZO7Ez1H9WD29zP5dctBPl+YP0Fi+qBZf0vD8A6jsbG1pkXn5kz79ku+6DGJsMfhvNeuCXWa1mFEh9GvXf7L4DC8FzadWhE56Et0OblGbey6dyD9z9Mm9wO08m7FuCX59TJ38NzX1vQk+AmfdfwMaztrmnVqxqSVk5jSa0ohp7GVdyv2L87vAuzba9RrHe/UX+f1330fPuLWzbvcuX8G748+YNeO/F6SAz//zrnTl3D3cGXC5DGULVcKcwvTYwRfl5hLfhxuNxNLJxvK92tN8x8+42jnr1AlplFpWHtsSrni1qgS1T7r+to9Ji9Lq0k9sLRTsKPvYpRJ6VRqX5+P141jW88FxD3Kux7XNh4FQFP1CZrQYJBbYjNyLJi9WrupU2aRPHY4EisrLGrXxXrEp2ijo8i97wOA1YfdMatclbSvpqOJjcG8Ri2sP/2CjFVvvj2USPPqNerYbR7/eAyA1IdhuNSvQLkB7xs4jGG/XiL2/H0s3R2pNLoTdiacVME/g3AY3yAHDhwgLi6OS5cu0aBBgxdneEqtWrVQKBT67SZNmpCRkUFERAQZGRlkZWXpHcFn5OTkUKeOYVdQ/fr5Y+z8/PxQqVS8/77xMYB3794lMDAQW1vDAd/Z2dkEBeXPGqxWrRoyWX7j5Onpyf3791/63J6xZMkS5s2bZ5A23KYSI+2qoE5KR6fWYO5iGMEzd3UgNz7llY/1DFVYDI96zEJqJUdmqyA3Lply6yehCs+PMPr9dYsIn/xZ02YWeT8JG1d70gsc28bVnmhf07NBXxapmYw+68bjUMKFTX0WocpQ/u0y3wRXTl7F3yd/Ju+zP2tHFweS4vInFTm4OhD0sPCs0oKoc9X62bqP7wdSqVYlug/1ZtX07/Q2melZZKZnERkahd9tfw4++AWJRMrwAk6chV6Do4EGR1dHAl9BQ8D9x1SuVYmPh33EymmrqdO0NsVKefKn7yGDPPN+nEPOrQdEDp4CgCYlDZ1ag8zFwcBO5uyIOsFEN/ZTHIb0wHH4J0QNm0ZOQIhRG8t61bEo60XMpMVFlnXt5DUe3SlwbeT59ZIcl6/DwcWBYF/TM1chr16iw6IBCLwfSIVaFeg2tBtrp68tdMwDF07qt5/1OLi6ORMbmz90wNXVmQf3jc/ONUZaajpBQaGUKWsYDUtPyyA9LYPg4DDu9v+M0Kg7dPygDfjkd0tbutijfC5y9Yzs+BQsXQwnYVi62pEdl2KQplGqyAiNJSM0loTbQXx4cTnl+7Tk4do/8GhaFdvSHkZnyXZaPJSfh6/Ub1u72BNjoj3ISk5Hq9Zg81x7Zu1ip++5cCzpRsPBHdjQdgrxj/Nm/Mf6hePVsBL1B7bjyMzNRst+1jVsVqos6gJdylJHR7TJxif/AaDToY3OO44yOBCZVymsPumX5zBaWKAYNIK0BbPIvZG3SoAmNBizsuWx7NAJnUaN1NERyK/7vLot4lo81xsjd7XXXwtVUjraXDVpjw1XOkh7HIVLQ8MhSOp0JRnpSjJCYkm89Zge4dtNn+MbQqcVs6RNIRzGN0idOnW4ffs2mzdvpn79+m/kCTUjI6+75PDhwxQvbtg9K5fLDbatra31362srF5Ybr169YyOsXR1zV/Gwdzc8ClfIpHkjbt7RaZPn87EiRMN0u5X7g+ALldN5r0g7JrVJOX49WcHwq5ZDWK3HH3lYz2PVqlCq1Qhs7fGrmUdnizapt+Xk5lNUma2gX16XDJl36umdxDlNlaUqF2Oazv/+ls6njmLzqU92NhnIcqUjBdn+odQZipRZho6r4mxidRpVoegp06IwkZBldqV+WPHn8aKMIlEKily9m7e+Ne8yVrPLwuTGJtI3WZ1CPINMtDw2/Y/Xl3DU6dn97q9HN5jeF9tOfUT38/bQNcr1/ITc9WofB9j1bgOmaeuPBOLonFtUnb/bvJYDkN74jiqD1EjZqB6aHopELvuHch+EEDOo6KdPGPXJikuiVpNa+kdRCsbKyrVrsThHYeLLOt5pBKp0UieMlNJSJThMILYmDiat2yidxBtbK2pW78WWza//NJQ1tYKSpfxYv/eeJM2arUarVZHteqVieCpwyiR4NGsGgFbTxrNE38rEI/m1fDfmD8W1LNFdeJvFb2ElkQq0c92vjF7Bz5L86OeCg8H3t8zDWVqJrG++XVhYWNF8drluGWiPdDmaoi+H0LpptV4dOKWXn+ZptW5sS1vKRtzq7y2W/ecc6rTaPUROGOYlS6DTqdDVq7A2EyJBPPadcn+/WCR52qAVIrkadsuMTPL+/68Fq0WJBLUjwMwr10PCNUfz61ZdQK3nMAYiTcDcWtWjcc/HdOnubeoTuLTa6HL1ZDkE4xtOcPhBbblPMh6kmBS8tuO+Or5j44/fBMIh/ENUq5cOVasWEGrVq2QyWSsXbv2xZnIi/YplUq9k3f16lVsbGzw8vLCyckJuVxOeHj4S3dxA1SoUAErKytOnTrF8OHDC+2vW7cu+/btw83NDTs748sjvAwWFhZoNJoX2snl8kIObsHu6NiffqfMt+PJvBdE5p3HuI/ogtTKkoR9pwAos3o8udFJPPl6J5A3UcayYgn9d3MPZ6yqlUabmY3q6RhFu5a1QSIhOygSy9KeeM0eRHbQExL2naYoLm0+RutxH5EYGkNyRDxtJ/UkPTbFYF3Fobtm4Hv8Jle35zWaFgo5zqXzu+UdvVzxrFqKrJQMUqMSkZrJ6Lv+czyrlWHHsG+QyqR/e0xkVpaS8Cf5DlZkVCz+AUHY29ni6eH2t8oG+HXTIfqN60NkSCQxETEMnjyIxNhELh3Pn/iwbM/XXDp2md+25TlQw6YO4frZG8RFxqOwsaJNt9bUalIzb/kc8iaytOrakpvnb5GamIqLpyu9x/YiJzuHa6evF9JwYNNBBozvS2RIJNER0QydPJiE2EQuHr+kt1mxdxkXjl3i0NbfABg+bSjXz9wgNjIOhY0V73u3oXaTWkzpNx3IGwNpbKJLbGQc6kjDtfVStv6K25LJqB4EkH3/EQ4DP0JiZUn6wbzr7rbkSzRxCSR+m7ecksOwXjiPG0DMl0tRR8Uic8kbU6jNUqLLyn8wkVgrsOnQgoRvfnzFq5LHoU2H6D2+N1GhUcSGxzJg8gAS4xK5UmBM5uI9i7l87DJ/bstz8AdPHczNMzeJi4pDYa2glXcrajSpwewBLzf84If125n45RiCg8IID3vCtJmfExMTx9E/8x2nX37fypE/TrLpp7wH0a8WTuHE0TNERETh4eHGlBnj0Gi0/HogT1Op0iXw7t6JM6cvkZiQRLFiHoyfMBKlMovG79XDvGdzEu4EUWVER8wUcoL2ngPgvdWjyIpJxmfJzwD4bzxO+19mUmXUB0Se8qF0tyY41SzL1S/zInUyKzk1Pu/GkxO3UMamIHeypeKQdig8HAn7I+8hISvScHym+umD5L1fLtBgcHui7+XNZm41qQfpcSn4n8ifCNJ/93T8j9/k5rY8h/bqxqN0WzGK6HshRN0NouHQjpgr5Nzdn6c/ISiKxJAYOi0exl+LdqFMzqBSh/qUbV6dvUPzZu0Xr1ue4rXLE3bFF6mHBvMq1bAe+Rm5D+5i+X571L73UT/yx9K7BxK5Fdkn8x6CbCbNQJsYT9bWnwCw6tUP9eNHaKIjkZhbYNGgEfI27clYmxcx1WVlkXvvDtbDRpOpUqGJi8G8Rm0s3+9A5k/r0KanYTtpOqV6xpHkE0SFp9ci9Om1aPDdaJQxyTxYvA+AxxuP0erXWVQc1YnoU3fw6tYEp1plufXlJn19PVp/mCYbxhF/1Z+4S754tK6JZ7u6nP14IQDWJV3x6taEmHP3UCWmo/B0ovJnXV/qPhW8PYTD+IapWLEiZ86coVWrVpiZmb3UGoU5OTkMGzaMWbNmERoayty5c/nss8+QSqXY2toyefJkJkyYgFarpVmzZqSmpnLp0iXs7Oz04xOfx9LSkqlTpzJlyhQsLCxo2rQp8fHxPHz4kGHDhtGvXz+++eYbunXrxvz58ylRogRhYWH8+uuvTJkyhRIlShgt93lKly7N+fPn6d27N3K5HBcX0wPgiyLp90uYOdlRfHJvzF0dyXoYQkD/+aifDhy3KOYKBboKzN0dqX7iW/225xhvPMd4k3b5AY965v0ByuwUlJg2AAtPZ9Qp6SQfuUrk0l3o1EU7uBc2/IGFlRzvJcOxtFMQdiOArYO+Rq3KH2fmVModRYH124rXLMvwvfl/vJ1nDwDg9oFz/DL5B+w8HKnSLm/IwLijXxscT50ahS7XMMr5Mjzwf8zQcVP128vW5Dkf3T5oy6JZk165vOfZt/5nLBWWTPj6c2zs8hbNnjZgJrkF6qFYKU/snfIfOBxcHJj67Zc4uTmRmZ5FiF8I0/rP1M+2zlHlUL1hdboP+wgbexuSE1K4f+0+470nkJKYUkjD3u/3YaWwZNLSL7Cxs+H+jQdM7T+9SA2OLg5MXzXlqYZMgv1CmNJvOrcuGJ94UhQZx84hc7LHadxAzFwcUfkHEzVqJpqnWs09XQ0iEva9OyOxsMBztaETlrRuB0nrduq3bTu1BAlkHD7zypoADqw/gKWVJeOWjMPGzoaHNx8yZ8Acg3rxLOmJfYH1Iu2d7Zn07SR9vYT4hzB7wGzuFJiFXhRrVv2EQmHFytXzsbO349rVW3zSfTiqAisRlC7thZNz/sSbYsU8+GHTShydHEhMSOLa1Vt80LYXiYl5Dnt2dg6Nm9Rn5JhBODjYER+XyJXLN2nbsgetWr/HrC+fLtz9MIzT/ZbpJ7ZYF3cx6DpMuPmYi2O/p/bUntSe1ov0kBjODf2W1EdPgLxomV15T1r0/By5ky2q5AwS7wZz4qOFpAaYXgQe4O7+86jSs+i8ZBiWdgrCbwawe+BSNAXq2rGkOwrH/PbA98+rKJxtaTmxR97C3b5h7B64lMyn+rVqDXsHL6PNtN58smkyFtZykkNj+W3iDwSeyVstQpOjplrXJrT8ojtySzM0sdEoD+5HefBnLDt2QdF/KFInJ9RBgaTN/hJdSl6dytzcDCZuSCwtsRk7AamLK7ocFZqIcNK/WUjO+fx7L+3r+VgPHonNlFlIbe3QxMWQuW0j2YfzHsIy7R2oNuXpwt0Pw7jQdymqp+eiKO5s0DYn3nzMtU/XUX1qT6pP70VGSAyXhqwk7em1AIg6epNbUzdTedyH1FkwkPSgaK4MX03i9YC8c1fl4tKoEhVGdMTC3prs+FTir7380Ie/hZj0YhKJ7vmYuOC1eP5NL35+frRq1Yr+/fuzYsUKk/kGDx5MSkoKtWrVYt26dahUKvr06cOaNWv0ETmdTsd3333H+vXrCQ4OxsHBgbp16zJjxgxatGjB2bNnad26NcnJyTg4OOjLfrYcz08//URUVBSenp6MHj2a6dPzIi0xMTFMnTqVI0eOkJ6eTvHixXn//fdZvnw5dnZ2em2HDh3Sl/nFF1/g4+PD2bNngbxo6KhRo3j06BEqlapQF0tR3Cj+0Uvbvi0OmRfddf9P8NXNhe9aAh/UGfOuJaD5FzTUP9m9+5XGxme8vYlgr8KN1KLHif4TfGv98mPB3xYh5u/+L3JM1ScvNnrLnPF5uSDC26RndNHL1L0JstZ99kbKUYx9uR7G/08Ih/EdY8wp+19BOIx5CIcxD+Ew5iEcxnyEw5iHcBjzEA7ju0V0SQsEAoFAIBCAmPRSBMJhfMvY2NiY3Hf06N+fASwQCAQCgeANIRxGkwiH8S3j4+Njcl/x4sVp3rz5PydGIBAIBAKBacQoPZMIh/EtU7688XeZCgQCgUAgEPx/4d2P8BYIBAKBQCD4N6DVvpnPa7Bu3TpKly6NpaUljRo14vr1wmvTFiQlJYWxY8fi6emJXC6nYsWKHDly5LWO/TKICKNAIBAIBAIBGKwp+U+yb98+Jk6cyIYNG2jUqBGrVq2iQ4cOPHr0CDe3wi9iyMnJoV27dri5uXHgwAGKFy9OWFiYwdJ6bxrhMAoEAoFAIBC8Q1auXMmIESMYMmQIABs2bODw4cNs3ryZadOmFbLfvHkzSUlJXL58Wf8K39KlS79VjaJLWiAQCAQCgQDy3vTyJj6vQE5ODrdu3aJt27b6NKlUStu2bbly5YrRPL///jtNmjRh7NixuLu7U716dRYvXvxSr+p9XUSEUSAQCAQCgQDeWJe0SqVCpVIZpMnlcv0b3AqSkJCARqPB3d3dIN3d3R1/f+OvRAwODub06dP069ePI0eOEBgYyKeffkpubi5z5859I+fwPCLCKBAIBAKBQPAGWbJkCfb29gafJUuWvLHytVotbm5u/Pjjj9SrV49PPvmEmTNnsmHDhjd2jOcREUbBO2O9+bt/Bdq6H9571xL+Fa/lO3pn/buWANq315XysoS0HPeuJfDLqmbvWgIA6tPvWgGcOvDuF1GuqXqxzdtm4EPrdy2BqvJ3fy16/gPH0L2hhbunT5/OxIkTDdKMRRcBXFxckMlkxMbGGqTHxsbi4eFhNI+npyfm5ubIZPn/o1WqVCEmJoacnBwsLCz+5hkURkQYBQKBQCAQCCCvS/oNfORyOXZ2dgYfUw6jhYUF9erV49SpU/kytFpOnTpFkyZNjOZp2rQpgYGBaAs4uAEBAXh6er4VZxGEwygQCAQCgUDwTpk4cSI//fQT27Ztw8/PjzFjxpCZmamfNT1w4ECmT5+utx8zZgxJSUl8/vnnBAQEcPjwYRYvXszYsWPfmkbRJS0QCAQCgUAArzzD+U3xySefEB8fz5w5c4iJiaF27docO3ZMPxEmPDwcqTQ/xufl5cXx48eZMGECNWvWpHjx4nz++edMnTr1rWkUDqNAIBAIBAIBvLOFuwE+++wzPvvsM6P7zp49WyitSZMmXL169S2rykc4jAKBQCAQCATw2q/1+19AjGEUCAQCgUAgEBSJiDAKBAKBQCAQwDvtkv63IyKM/zEkEgmHDh161zIEAoFAIPj/xzt4NeD/F0SEUfCvwnvCJ7To0xaFnYLAm4/YPutH4kJjTNp3+vQj6nVohGe54uRk5xB4+xEHvt5JTHCU3qZln7Y06tacUtXKYGWrYGzNgSjTsoyWt/f8Pbadvk1iWhYVi7swtUcLapQyvnDqsO9+5VZgZKH0ZlVLsXb0hwBkqXJY/ftlztwLJjUrm+JOdvRpWYuezWq8sC4GTRpIpz4dsbG34eENX1bP+I7I0CiT9l0HdKHrgM64l8ibVRcWEMaOVbu4cfam3uaLJeOp27wOzu7OKDOV+N7y46fFm16oxRQ3fe6zZfcBfP0DiU9MYvWS2bzf4s0shr7n1z/ZsudXEpKSqVSuDDO+GEWNqpWM2uaq1WzcsZ/fjp0iLiGR0l7FmThmCM0a1dPbZGZlsWbjTk6dv0JSciqVK5Zl2viR1KhS0aQG+75dcRraA5mLIyr/YOIXfU/2/QDjtj07YvthW+QVSgGQ7RtI4rdbCtlblPXCZdIwrBrUQCKTkRMUTtTnC1BHx5vUsfeKP9vOPyAxQ0lFDyemftiQGl6uRm2H/XiMWyGxhdKbVSrO2sFtC6UvPHiFA9cDmNy5Af2bVTWp4XnMW3TB4v2Pkdg5oo0MIXv/erRhxuvGrFFbrAYYLmKsy80hY4J3keW3n9oTuas9qb7h3Ju5jZQ7QSbti3VtRJUpPVF4uZAREoPvwr3EnvLR7/eO2W0034P5uwn8/k9c3qtCs19nG7XR5uSS+iDspTRUfqohMySGhwv3EldAg0whp+qsPnh2rIeFoy1ZEXEEbzxO6PZTBuU41qtAlem9cKxbDp1GSznfYGb1n0WOKkdv039ifzr27Yi1nTW+N31ZN2MdUUW0D536d6Lzc+3DntV7uFmgfejYtyOturWifPXyKGwV9Kzek8y0TJNldpjQg0Z92mBlZ03IzUf8OmszCUW012UbVqbVyC4Ur1EWe3dHtoxcwcMTN03af7xoGE36teW3+du5sPmoSTvBP4NwGP9h3tYK7G+C3NxczM3N39nxPxjtTdshndg4aS0JEXF8NKk3k7bPZma7L1Crco3mqdSoKqd3HCPkbiAyMxndv+zLxO2zmdXuC3KUea9osLCS8+DcHR6cu0OPqf1NHv/47QBWHLzAzE9aU6OUB7vO+fDp97/z26z+ONkqCtmvHNaJ3AIvek/JzOaTpXtoV6eCPm35wYvcCHjCooHtKeZkxxX/cJbsP4urvTWtapQ1qeWTMb34aEg3lk1cTnR4DEO+HMTXOxcz9P0R5Jqoi/joeDYu2UxkSCRIJLTv2Y75m75i9AdjCQsIA+Dx/cecOnSauMh4bB1sGTixP0t3LQYyTGopCqUym0rly/JR5/Z8MWPha5VhjKOnzrNs7UbmTBpLzaqV2LH/N0ZNmsMfu3/A2dGhkP2an3bw54kzfDVlHGVKeXHp2m0+n7GIneu/oUrFcgDMWbqGwOAwlsyahJuLE3+cOMOICbP4bcf3uLu6FCrT5oMWuE4dQdxXa8i+9wiHgd4U/2kRoZ2Go0lKLWRv1aAm6UfOEn/HF60qB6fhvSi+cTFhXUehjksEwNzLE69dK0j95TiJa3egzcjConwpdAUcgec5fi+EFYdvMNO7MTW8XNl1yZdPN//Fb5O8cbKxKmS/sn9rcjX5EY6UrGw++e4P2tUoXcj29MMw7kXE42pXuJyiMKvbAvlHI8jetxZtqD/mrb1RjF1A5vyR6DIK1w2ATplJ5vyRBVNeWP6dLzeTfDuQciM+4L090/ir2SRyEtIK2TvVr0D99Z/hu3gfMSdv4/VRUxptmciZ9jNI938CwNEahm9Ucn+/NnVWjiDqz+sAJN4IMLDx6FCP2kuHkpOcwaXuCyg74gOa7JnGKRMaHOtXoN76z/B7qqHEUw1nC2ioPm8ALs2qcuuz78mKiMetZU1qfj2E7JhkYk7cziunXgWa7JnK4+9+4/7MrejUWq7XckFbIGrVY0wPPhzyISsnriQmIoYBkwewYOcCRr8/2mT7kBCTwJavtxAVEoVEIuH9Hu8ze+NsxnUaR3hAOAByKzm3zt3i1rlbDJk2xOT1AWg9uivNhnRk76T1JEXE02FST0Zsn8Y37b402V5bKORE+YVzff9ZBv8wqcjyq3eoT8k65UmNSSrS7o0juqRN8p/vkm7VqpV+qrq9vT0uLi7Mnj0bne7FN4VKpWLy5MkUL14ca2trGjVqZDC1PTExkT59+lC8eHEUCgU1atRgz549Ro//xRdf4OLiQocOHTh79iwSiYRTp05Rv359FAoF7733Ho8ePTLI+9tvv1G3bl0sLS0pW7Ys8+bNQ61W6/c/fvyYFi1aYGlpSdWqVTl58uRL10toaCgSiYR9+/bRsmVLLC0t2bVrF1999RW1a9c2sF21ahWlS5fWbw8ePBhvb2+WL1+Op6cnzs7OjB07ltxc443Ey9JuaGf+WPMLPidv8MQ/jI0T1+Dg7kjd9g1N5vl20CIuHThL1OMnRPiFsXnyOlxKuFK6gDN2cvNhjqw/RNCdx0Uef8cZH7q/Vw3vxlUp5+nErF6tsbQw49BVX6P29taWuNhZ6z9X/SOwNDejfe3yepu7IdF0bViZBhVKUNzZjh5Nq1OxmAsPwgpHgArSfZg3u9bs4fKJK4T4h7D0i2U4uzvTtIPp6N3Vv65x/cwNIkOjiAyJZMuyrSizsqlSp7Le5vDuo9y/9oDYJ7EEPghky7JtuBV3A+nrPTs2b9KA8SMH0bZl09fKb4rt+w7Ro2sHPurcjnJlSjJn8lgsLeUcPGz8Hv/j+BlGDOhFiyYN8CrmQe+POtG8SX227j0IQLZKxV/nLjFxzBDq165OyRLFGDu0HyWLe7LvkPHIheOg7qTtP0bawZPkBIUT99UadNkq7Lp3MGofM2UZqXv+ROUfTG7IE2JnrwKpBKsmtfU2zl8MIvP8DRKWb0LlF0RuRDSZZ64adUCfseOCL90bVMC7fgXKuTswy7sJlhYyDt0MNGpvr5DjYmul/1x9HJ13X9YoZWAXm5rJ179fZ/EnzTGTvtpfgUWbj8i9fAz11ZNoYyJQ7V2LLkeFeZP2pjPpdOjSkwt8Ul5Yfvjec6QHROIzZRMapYpSvVsatS87oiNxZ+4S+P2fZDyOwm/ZflLuh1B2SL4eVXyqwcezQz0SLvmSFR6XJy9XY7C/dL/WaHNyCd50nPSASO6+QEO55zT4P9VQpoAGpwYViPj5AomX/VBGJBC28zRpD8NxqFNOb1N9fn+CNx7n8do/SH8USUZQNBf+vIA6J7/t9x7mzd41e7l68iqh/qGsmLACZzdnmrQ3/lYQgOt/XefmmZtEPW0ftn+zneysbCoXaB9+2/Qb+7/fj/9tf5PlPKP50A/4a81BHp68RbR/OHsnfo+duyPV29c3mcf/7F2OrfiZB8dNRxUB7Nwd8f5qMLs/X4dG/c++MlSn1b6Rz3+R/7zDCLBt2zbMzMy4fv06q1evZuXKlWzcuPGF+T777DOuXLnC3r17uXfvHj179qRjx448fpzneGRnZ1OvXj0OHz7MgwcPGDlyJAMGDOD69euFjm9hYcGlS5cMXgw+c+ZMVqxYwc2bNzEzM2Po0KH6fRcuXGDgwIF8/vnn+Pr68sMPP7B161YWLVoE5L02qHv37lhYWHDt2jU2bNjwWgt2Tps2jc8//xw/Pz86dDD+R2iMM2fOEBQUxJkzZ9i2bRtbt25l69atr3z8Z7h6ueHg5ojvpXv6NGV6FsE+jylX13SX4fNYPY0EZqa8WsQsV63BLyKORpW89GlSqYRGlby4F2K6i6Ugh6760qFeRazk+VHaWmU8OfsghNiUDHQ6HTcCnhAWn0KTyiVNluNZ0gNnd2duX7itT8tMz8LPx5+qdau8lBapVEqrD1tiaSXH97afURtLKzkdP2lPdFg0aNVGbd4Fubm5+AYE0rhebX2aVCqlcf3a3H1o/I8sJze3UORebmHBnft5zr5Go0Gj0SK3MIygy+Vybt97WLhAczMsq1Ug88qd/DSdjswrd7Cq/XLXQGIpR2JmhjY1/WmCBJuWDckJjaT4T4soe3EvXntXYf2+6T/5XLUGv6hEGpUvpk+TSiU0KleMe+Gmu7ALcujmYzrULI1VgXPXanXM+vkig1pUo7y740uVo0dmhtSrPJpHPvlpOh2aRz5Iy1Q2mQ25Fdbzt2K9YBuWI2cj9TDxGzBRfvyFBzjVr2A0i1O9CsSff2CQFnf2nkl7uYsd7m1rE7b7rNH9EnMZDjXLILUwJ3zvOQMNjibKdHwJDUk3HuPRoS6WHnl17tK0KjblPIg/dx8ACxc7nOpVQJWYSvM/vqLD/fU0PTibqg3yhwp4lPTAyc0Jn4s++rSs9Cwe+TyiSr2Xbx9adG2BpZUlfibah6Jw8nLDzs2Rx5fyzzc7XUm4TxCl6hqvn5dFIpHQ99uxnP3xT2IfP/lbZQneLP8TXdJeXl58++23SCQSKlWqxP379/n2228ZMWKEyTzh4eFs2bKF8PBwihXLa6wnT57MsWPH2LJlC4sXL6Z48eJMnjxZn2fcuHEcP36cn3/+mYYN86NiFSpUYNmyZfrt6OhoABYtWkTLlnlPq9OmTaNz585kZ2djaWnJvHnzmDZtGoMGDQKgbNmyLFiwgClTpjB37lz++usv/P39OX78uF7f4sWL+eCDD16pbr744gu6d+/+SnkAHB0dWbt2LTKZjMqVK9O5c2dOnTpVZJ0WhZ1rXgOaFp9ikJ4Wn4q9q8NLlSGRSOgzZwiPb/gRGRDxSsdPzlSi0epwfq7r2dlWQWhs8gvz3w+LITA6kbl92xikT/u4JfP3nabDnC2YSaVIJDCnTxvqlS9usixHV6c8TQkpBukp8Sk4uTkVqaNM5dJ8d2gVFnILlJlKvhoxn/DH4QY2Hw7swogZw7GytiI8MIIp/aaz+dCcF57jP0VyahoajRZnJweDdGdHB0LCjP+BNG1Yl+37DlG/VjW8inty9dZdTp2/gkabF52wViioVb0yG7btpWxpL5wdHTjy13nuPvSnZHHPQuXJHOyQmMnQJKYYpGsSU7Ao41XI3hiuk4eijksk63Ke0ylzdkBqrcBpeC8SvttGwopNKJrVp9h3s3kyeCrKG/cL10WWKu++tLE0rAtbS0LjTUcln3E/Ip7A2BTmfmwYmd5y/gEyqYS+772cg1EQiY0dEpkMbbrh70KXloLM3XjdaOOekL3rW7SRoUisFFi8/zGKSSvIXDQaXUriS5Wvik/FpoDjXBBLNweyn6sPVXwqcjcHo/Zen7RAnZFN1JEbRvfLnWyRyKQk3gggOzq/S1QVn4ptERpUL9Bwf+ZWai0fTgefdWhz1ei0Ou5O3kji1bwHIeuSbgBUnvQxD+fvJvVBKF49m7Nk9xLGtBtDVGgUjk/byuQEw/pJSUjR7zNF6UqlWXFohb59WDByARGPX62tBLB1tQcg/bnzzYhPxfYl22tTtB7zIRq1hotbjv2tcl4b0SVtkv8Jh7Fx48ZIJBL9dpMmTVixYgUajQaZTGY0z/3799FoNFSsaBjdUqlUODs7A3lRi8WLF/Pzzz8TGRlJTk4OKpUKhcLQ6ahXrx7GqFmzpv67p2fen1ZcXBwlS5bk7t27XLp0SR9RfHa87OxssrKy8PPzw8vLS+8sPjuvV6V+fdPdB0VRrVo1g7rz9PTk/v3Cf3jPUKlUqFQq/baZmRnfP9yh3141dMlr6ShI/wXDKV7JiyU9Zv3tsl6VQ1d8qVDMudAEmT3n73I/NIbVI7rg6WTL7aBIluw/h6u9NY0r5UVY2ni3ZsLXn+vzzBxsfOD9yxAR9IRRHT/F2lZBi07NmfLtZCb2/NLAaTx18DS3zt/Gyd2JnqN6MPv7mYCEosaU/duZNn4kXy1bQ9f+Y5BIwKuYJ96d2hp0YS+ZNYk5S1bT5qNByGRSqlQsxwfvt8A3wHjX7t/BcXgvbD9oRcSgKehyng7VeNoGZZy+Qsq2vK5ylX8wVnWqYv9JZ6MO49/l0M1AKng4GkyQ8Y1MZPclX/aM62rQLr5NtCH+aEPyo8PKYD+sZ/+AedNO5BzeUUTOt0Op3q148usltCbG2smfRl1jT942uv91KTOsA051y3N1wHKUT+JxblKFmksGkx2TTPyFByDNux6hO07rI5u2FUtQxlzG+lPrUeeomTt47msf/0nwEz7r+BnWdtY069SMSSsnMaXXlBc6ja28W/H5kvH67U1DlxVh/foUr16GZkM6sqrzjLdS/kshHEaT/E84jK9DRkYGMpmMW7duFXIqbWxsAPjmm29YvXo1q1atokaNGlhbW/PFF1+Qk2M4gN3a2troMQpOMHnWcGufjn3IyMhg3rx5RqN/lpaWhdJel+e1SaXSQuM7jY1NfH5yjEQi0Ws3xpIlS5g3b55+28bGhtblm1LVLm+8n5lF3q1o5+pAaoEoo52rPeG+oS88j37zhlGrTT2+7jWH5NcYJO1obYVMKiEx3XD2dGJ6Fi5GJrwURKnK5fjtx4zp1MggPTtHzZo/r7ByeCdaVCsDQMXiLjx6ksD2U3f0DuOVk1fx98kfv2r+tOvQ0cWBpLj8c3FwdSDooekZmgDqXLV+puTj+4FUqlWJ7kO9WTX9O71NZnoWmelZRIZG4Xfbn4MPfkGiTkWXY3o25D+Jo70dMpmUxKQUg/TE5BRcnI1HUJwc7fluySxUqhxS0tJwc3Hm2w1bKVEs34EvWdyTrWu/JkuZTWZmFq4uTkyau5QSnoVnwWtS0tCpNcicHQzSZc4OaBKKjjg7DvkYpxG9eDJ0OjkBIYZl5qrJCTKM+OYEh2NVt5rxshTyvPsyI9uwLtKzcbEteqKKMieX43dDGNOutkH67ZBYkjKz+WDpgXxtWh0rj9xk1yVfjk7tUWS5uow0dBoNUltHCv7iJXYOaNNe8ren1aCJCELqWji6W7B8yB8OIne1RxWXYrS47LgULJ9GvV5k79yoErYVinFj1HeF9j3Do10ddDod6UGGw1HkrvZkF6FBXoQGqaU5Vad/wvWhK4n9yweANL8I7KuVotyYzsRfeKC3TQ/Ij6THHL/FzTM30Wq0/LTgJ8zlz9oHR5Lj8u9FBxcHgn2DTZ4T5LUP0WF5PVyB9wOpUKsC3YZ2Y+30tUXmu3byGivvTtNvmz1to2xd7Ukv0F7buNoT9RLttSnKNqyMjbMdMy+v0afJzGR0ndmf5kNfrfdM8Ob5nxjDeO3aNYPtq1evUqFCBZPRRYA6deqg0WiIi4ujfPnyBh8Pj7w/mEuXLtGtWzf69+9PrVq1KFu2LAEBxpeVeFXq1q3Lo0ePCh27fPnySKVSqlSpQkREhL57+9l5/V1cXV2JiYkxcBp9fHz+drnTp08nNTVV/4mMjMQxyYq4sBjiwmKIevyElLhkqr6Xv9yMpY0VZWtXIOh20XXab94w6nZoyLK+X5HwJO619Jmbyaji5cb1Ag21Vqvj+qMIapYxvqzOM074BJKj1tC5geGSL2qNFrVGi/S5KI5UKkFboH6VmUqiQqP0n7CAMBJjE6nTrI7eRmGjoErtyibHI5pCIpXo/2CM7pdI8gJf/1Ck6WUwNzenasXyXLt1V5+m1Wq5dusutaoVMUYOkMstcHd1Qa3RcPLcZVo3a1TIRmFliauLE6npGVy+fps2zRsXLihXTfbDxyga185Pk0hQNK6N0sf0NXAc1gOnMX2JHDkL1cPnJlnlqsl+EIBFmRIGyRali5MbZfy+NTeTUaWYM9eD8n/nWq2O60HR1CxpfFmdZ5y4H0aORkPn2oaz8bvUKcv+8R+yb1xX/cfVzopBLaqxfmi7IssEQKNGGxGIrFKt/DSJBFnF2gZRxCKRSJEWK40uzYjzbaJ812bVSLppfOJa0q3HuDavbpDm2qKGUftSfVuRfDeYNN/wQvueUbJXC1RxKbgW7LJ/qiHZhIZkIxrcCmiQmpkhtTBD91wES6fRInkaWcwKj0cZnYRNufyeI3VmNs7uzoQFhBEdFk14QDhJcUnUappfP1Y2VlSqXQm/W6/WPkglUv0DalEoM5UkhsXqP7GPn5AWl0yF9/LPV25jRcna5Qi7XfTkwqK49esFVnacyredpuk/qTFJnP3xD34a+Pd7oV4KsQ6jSf4nIozh4eFMnDiRUaNGcfv2bdasWcOKFSuKzFOxYkX69evHwIEDWbFiBXXq1CE+Pp5Tp05Rs2ZNOnfuTIUKFThw4ACXL1/G0dGRlStXEhsbS9WqL7+WmSnmzJlDly5dKFmyJD169EAqlXL37l0ePHjAwoULadu2LRUrVmTQoEF88803pKWlMXPmzP9j77zDori+BvwuCyy79I4Fxd57771rJNaosfdusMVu7PqzRqPG3ks00cQYe++KiqKIIl16r8sCu/v9sbqwsos1weSb93nmeZg759575u7McObcc+58cr/NmzcnJiaGFStW0KNHD06fPs2pU6ewsrL6pHYlEgkSiUSnTCzSNdjP7ThJ5/HdiQqKIOb1sjqJUQk8OJuTRDRl/zwenLnDxT2a+JZvFw6jftcm/Dh8ORlpGVi9jp+RJ6eT9XqpEitHG6wdbXB6PV1ctFxxMtLkxIfF6vTfv0V15uw7T0VXJyoXd2b/ZS/kmdl0raf5PWfvPYuTtQUTvtKNBzt+6yktqpbExlzX42MhNaVW6SKs+f0GEhNjCttZ4vkynD/v+TLZvUm+4/Xb9uP0G9+HsMAwIkMjGTRlIHFRcdw4c1Mrs+LgMm6cvsnvu/8AYOj0wdy9fI/osBhkFlJadm1BtQZV+f5bzXVRqJgLzbs0w/PqfZLiknAo5Mg3Y3uRmZGJWKV/Xcp3kZ4uJ+RVztpvYeFR+L7wx9rKkkIuTh/VJsCA3u7MWrKGSuXLULlCWfYd+R25PAP3jpp1BGcsWoWTgz3fjRoEwOOnz4mKjaN8mZJEx8SycccB1CoVQ/p217Z548591ICbaxFCwiJYtXEHJYoV1bb5Ngm7f8Nl6RQUT/zI8H6OzYCvMZKakXzsLAAuy6aQHRVH7JqdANgO64n9+P5ETllOVlgUYgeNN1SVLkedrvEQJuw4SqFVM5B7epN+5xHmjWtj3rw+oQOnGRyL/k0qMufIdSoWsaeyqwP7bzzTXJe1NN752b9cw8lKxoT2uqEvxz39aFGxGDbmujMSNuZmecqMjYywt5Di9paHzBCZF49h1t8DZYgfqqAXmLToikgiIeu2JgTArP9kVElxZP6xCwDT9n1QBvmiiolAJDXHtHV3jOycyLipP07tTfuuvcJIeOhPqeEdEMvMtNO0NdePJiMiHp8lhwEI2HqaxsfmUHpURyLPe1HUvQG21UriNVU3udHYQkrhLvV4Mn+/wXNzaFwJ8+JOeM/dS8WZvUl8FGBQB3lEPM9e6+D/WodSozoSdd6LIu4NsMmlQ3aqnNibPlSa2xdlRibyV7HYN6iAa88mPJm/T9v/y41/Un5qD5J8gkl+Eoxrr6YULV2UxaNzwpOObz/ONxO+ITwonKiQKPpP6U9cdBy3zt7Syiw5uISbp2/y5+4/ARg0fRCelzyJDo9GZi6juXtzqjSowpz+OSEwto622DraUthNY7C6lXdDnionOiwaUnTH6dqOU7Qa705MUCTxodG0n9yT5KgEnuRaV3Hk/lk8OXOPG3s094ypTIKDW84LuJ2rI4UrFic9MZXE8DjSE1NJfythUZmtJCUmiZiACP4RhClpg/y/MBgHDBiAXC6nbt26iMViJk6cyIgRI95Zb+fOnSxatIjJkycTFhaGg4MD9evXp3PnzgDMnj2bgIAA2rVrh0wmY8SIEbi7u5OU9O5g9HfRrl07/vzzTxYsWMDy5csxMTGhfPnyDBs2DNBMHR87doyhQ4dSt25d3Nzc+PHHH2nfvv0n9VuhQgU2btzIkiVLWLhwId27d2fKlCls2bLlk8/pXZzafByJVMLApSORWZnjd8+X1QMX6azp5VTcGUu7HOO1ZX/N+X5/eIFOW9unbODG0csAtOjXlq6TemmPzTiyUCuTm3Y1y5KQKmfTX3eITU6jXFFHNo7+CnsrzZR0REJqnpivoKgEHgZEsGlMV73ntHxQO348cYuZe86SnJ5BIVtLxnVqQM/GlfXKv+Hwpl8wk5nx3bKJWFhZ8OTeU77vP0tnjbXCxQthnWssbBxsmL5mKnZOdqSlpBP4LJDvv52lzbbOVGRSuW5lug39GgtrCxJiE/G+480E9+/Y+uvHvWw88fVjyPic7PwV6zXXSdcOrVk8O/911vKjQ6umJCQmsWH7PmLjEyhfuiSbVy7AwU5jhEVExWAkypkgUWRmsn7rXl5FRCKTSmlSvxZL50zGytJCK5OSls7an3cTFROLtaUlbZo3ZMLwAZgY638Mpp66SqytNfYT+msW7n4WQNiI2dpEGONCTjreIptvOmNkakrhH3VjUOM27CPuJ41BkHr+JlE/rMduRG8cZ44mM/AV4RMXkvFAT6b2a9pVLUFCagabznsRmyKnXCE7Ng5ujf3rKemIxLS812VMEg+Dot/PY/gRZD+4isLCCkmn/ogsbVGFBZD+01ztUjkiO0eMcnlZRDILzPpORGRpi1qegirkJemrJ6OK1B8796b9CtN6InG0IelpMLf6LEPxev1DWRF7yBUCE+/ph+eYn6gwvScVZvQmLTCSO4NXa9c/fEMR9waAiFfHbmKI4n2bE3f3Of5bTqHKVlJ+Wg8kjjYkPw3mdi4dpEXsdZZPSfD04/47dPAcuZ6Ks76h1k9jMbWxIP1VLM+W/ULQ7vNamYCtpxFLTKjyQ39MbM1JfhrCrH6ziAzOmR4/uukoZlIzxi8dj4WVBU89nzK3/1yd50OhYoWwtst5AbC2t2bymsmvnw9pBPoGMqf/HB5ey1kJoOO3Hen3XT/t/v+O/g+A1R6rCf9NN0Ho0uYTmEol9Fg6DKmVjMB7z9k6cJnO89q+uDPmdpbafdeqJRl9KCfBruucAQDcO3qFw1NyVhApSN72AAvkIFK/z4KE/2KaN29O9erVWbt2bUGrIvAWQ9zyj5X6J/jp5+YFrQJdhp0oaBU49XBTQasAqn92vTV9BDYbX9Aq4Lq4aUGrAED2xesFrQIXjtoUtAp8CcEaP5smFrQKVDR6P+/z38nKoIPvFvpEUiZ1+SztWK4t+Of65+b/hYdRQEBAQEBAQOCdCB5Gg/y/SHrRx7Vr17CwsDC4/dtZsmSJwXP70LUaBQQEBAQE/l+gUn2e7T/If97DmPtTfrmpXbv2Z8n+/VIZNWoUvXr10ntMKv2w78YKCAgICAgI/P/mP28wGkIqlVK6dOl3C/5LsbOzw84u/6+CCAgICAgICORCmJI2yP9bg1FAQEBAQEBAQAfBYDTI/9sYRgEBAQEBAQEBgfdD8DAKCAgICAgICECeT+MK5CAYjAICAgICAgICIExJ54MwJS0gICAgICAgIJAvgodRQEBAQEBAQAAED2M+CAajgICAgICAgADCt6TzQzAYBQoMNV/AjZmVWdAaoFR/AV8F+AK+44yRuKA1QK3+Ar4cLP4yHstqRXZBq4BCVPC/h8kXkASh/AJ0KPi78x9CMBgNIsQwCggICAgICAgI5MuX8SorICAgICAgIFDQfAETPl8qgsEoICAgICAgIIAQw5gfwpS0gICAgICAgIBAvggeRgEBAQEBAQEBEJJe8kEwGAUEBAQEBAQEQIhhzAdhSlpAQEBAQEBAQCBfBA+jgICAgICAgABC0kt+CAajwBeH+3ff0KxPa2RWMvw8n7N39haigiIMynca8zW12tXHpVQRsjIyefngOUeW7SUyIBwAc2sL3L/rTaUm1bAv4kBKXDIPzt7l2OpDedo6dP0Juy8/Ii5FTtnC9kz/uhFVijnp7Xfoxj+4759Xr8YVirFhWAftfkBUAuv+vMP9gAiyVSpKOtuyamAbCtla5jsOg6cMpFOfDlhYW/Dk3lPWzPyRsMAwg/Jf9e/MVwO64FLUGYCgF8HsWbuPu5fu6ZVftncx9VrUZfbQeXmOHfztT3Ye/I3Y+ATKlSrBzEkjqVKxnN52srKz2bb3CL+fvkB0bBxurkXwGD2YxvVqaWXS0tNZv20fF67eIj4hifJlS/L9hBFUqVA23zF4Hzy9vNl54Cg+vi+JiYtn3dI5tGra8JPbBbDp2xm7oT0QO9ii8A0getEmMrxf6JW17tkeq66tkJQpDkDG05fErtmVR960pCuOU4YgrVMFkViMwj+E8AmLyI6IMajHoZs+7L7irbkuC9kxvWsDqhRz1Cs7dPNJ7gdE5ilvXL4oG4a0A2DO4aucuO+nc7xh2SJsHNbeoA4mzbsgadcTkbUdqtAA5Ad/QhX03KD8G4zrNEc2YiZZD28i3zhfW2619axe+YwjW8k8ewST5l3oPPcbzBytSfQJ4cGs3cR7BRjsp2jnulSZ3hPzog6kBEbxeNFBIi4+0h6vu3YkJXo31akTcekRV/uuyNOWkakxrU8uwLZyceSRCZjamJPkE8KjWbtJeOhvUIciXepRcVpPZK4OpAZG8mTRIaIueGmPd4s8oLee94ID+G38E4B299Zh7qr72yYs3cEvG4/olA2Y3J/2fdpjYW2Ozz0ffpy5gfCgcIO6de7fiU79O+H8+vkQ/CKY/WsP4HnZEwBLGwv6e/SnZtOaOBVxJCkuiZtnbrF75R7SU9L1ttnmux7U7dMSqZU5QZ7POTZ7B3FBea+9N5SoW56mIzpTtEpJrJxt2T1iFT5nPXVkWk/qTrUuDbApZE92VjZh3oGcWXmYUC/D4/5ZKcAp6Z9++on//e9/REZGUq1aNdavX0/dunXfWe/QoUP06dOHrl27cvz48b9NP8FgFNCSmZmJqalpgerQcZQ7bQZ3ZNvk9cSERtNt8jd47JnDrDYTyVZk6a1Trl4lLuw9TeCjl4iNjeg+tR+T98xlVpuJZMoV2DjbYuNsx+Elewj3C8WhiCMDFo/ExtkOVLe07Zx5+JJVf9xiVo8mVCnmzP5rjxmz5SS/T/8GO0tpnn5XD2pLVnbO0yUxPYPeq47SpmpJbVlobBKDN/yOe93yjG5XG3MzE/wjE5AY53/rfTOmN90Gu7PsuxVEhEYyZMogVuxbyqCWQ8kyMA4xEbFsXbqdV4FhiIB2PduyaPsPjGg/mqAXwTqyPYZ1w9DHI05duMqKDduYO3ksVSuWY++R3xk5eS4nDvyMva1NHvn1W/fy59lLzJ82nhLFXblx5wETZy5m36b/UaFsKQDmLl/Py4Bgls6ejJODHSfOXmL4d7P5fe9GnB0d8h2LdyGXZ1CudEm+7tSWSTMXfVJbubHs0BTH70cQNX89GY+eYzvQnaLbFhHYYTjK+KQ88rK6VUk5eZnoh89QKzKxG96TotsXE9R5FNnRcQCYuBai2IGVJB09Q+z6fahS0zEtXQy1wvAXh854BbDqxB1mdWtElWKO7L/2lDHbT/P71B7YWei5Lge0JkuZ8+WexDQFvdceo03VEjpyjcoV5YdeTbT7pmLD3/Iwrt0Ms14jydj3I8pAX0xbd8N80hJS5wxFnZJosJ7I3hmznsPJfuGd51jK5N66fVSug9lAD7IeXNP2d2/qTuIe+lN2eHuaHfyevxpPQRGXnKct+9plaLBpHI+XHCb8/EOKf92QRjs9ONd2FknPX2nlIi4+4u6kn7X7ykz991K1OX1Qv75BAvdcIOzPO5Qe3oFGB7/nXOPJKGLz6mBXuwx1No3j6ZLDRJ57gOvXjWiw04OLbWeS7KvR4WSV0Tp1XFpVp+bq4YT9eVen3Gf5EQL3XdTu/67QfTHtNbonXQd/xUqPVUSGRDJw6gCW7FvE8FYj830+7Fi6k7DAMEQiEW16tmb+9rmM7TCO4Bch2DnbY+9sx9ZF2wjxC8GpiBMTlo7D3tmeRaMW52mv2aguNBrcnl8mbyI+NIa2k3sydM/3rG4z1eCz2lQmIeJZCJ5HLjPg58l6ZWIDIvh97i7iQ6IxMTOl8dAODNszkxXNJ+mV/69w+PBhPDw82Lx5M/Xq1WPt2rW0a9eO58+f4+Sk32kBEBQUxJQpU2jSpIlBmc+FEMP4L6d58+aMGzeOcePGYW1tjYODA3PmzNE+7PLDzc2NhQsXMmDAAKysrBgxYgSXL19GJBKRmJiolfPy8kIkEhEUFATArl27sLGx4cyZM1SoUAELCwvat29PRIRhL+D70mZIZ06sP8rDc/d45RvMVo/12DrbUrOt4bes1QMXcePoJcL9Qgl9Fsz2KRtwKOqIWxWNsRL2IpSfRv+PRxc8iQmJ4tmtJ/y68gDVW9WGXJ8e23vVm271K+BetzylXGyZ3b0pZibGHL/rq7dfa5kZDlYy7Xb7xSvMTIxpWy3HYNxw6h6NKxTjuy71KV/UAVcHa5pXdtNrgOamx9Cv2fvjfm6cvUXAs0CWTlqOg7M9jds1Mljn1vnb3Ll4l7DAMF4FhrF9xU7k6XIq1qygI1eqYil6jezBiskr9baz5/BxenRpx9ed2lCqRDHmThmLmZmEYyfP6ZU/ceYSw/v3ommDOrgWduGbrzvSpEFtdh06BkCGQsH5KzfwGD2Y2tUrU6xoYcYO6UexIoU4fPxUvuPwPjRpUIcJIwbSupnhsfkYbAd9TdKRUyT/do5M/xCi5q1HlaHAuntbvfIRU1eQePAkCt8AMgNfETl7HRgZIWtQXSvjMGkgqVfuEbNyB4pn/mSFRpB26Y5eA/QNe689oVu9crjXKUspZ1tmd2ukuS7vGfB0yiQ4WMq0222/MM11+ZbBaGJspCNnJZMY1EHSpjtZ106RdfMsqogQMvatQ52pwKRRO8MDKDJCOux7FH/sRRWb99mgTk7Q2YyrN0T5/BHq2Ehtf4GHr5L8IgzPaTvIliso0aeZ3q7KDmtP5KXHPN90khS/cJ6sOEqidxClh+j+VsrMLDJikrRbVlJez5lLy2q4NKuCkVjz7zHizH1SXoTxcNp2lHIFxb/Rr0Pp4e2JuvQIv41/kuIXjs+KIyR6B1JycI4Oipgkna1Qu1rE3PAhPSRap62sVLmurFyhc9x9qDsH1x/i1tnbBPoGsWLSSuyd7WnYzrBn/c75O9y7dI/woHDCAsPYtWI3GekZlK9RHoDg58EsHLmYO+fvEBEcwaObj9i1Yjf1WtfTjkVuGg/pwMX1x/A5d59I3xB+8diIlbMtldrWNqjD88uPOLvqF56e8TQo4/XHTV7eeEJ8aDRRfq/4c9E+zKxkuJQvZrDO50StUn+W7UNZvXo1w4cPZ/DgwVSsWJHNmzcjk8nYsWOHwTpKpZJ+/frxww8/ULJkSYNynwvBYPwPsHv3boyNjbl79y7r1q1j9erVbNu27b3qrly5kmrVqvHw4UPmzJnz3n2mp6ezcuVK9u7dy9WrVwkJCWHKlCkfewoAOLo6Y+Nky9Mbj7Vl8pR0/L38KF1T/3SoPqSWMgDSElMMysgsZWSkpvPGzZaVreTZqxjqlSmilTEyElGvbFEeB0e9V7/H7zynXY1SSCUmAKhUaq49C6G4ozWjfz5Ji3m7+XbdMS56B+bbTqFiLtg723P/2kNtWVpKOs+8fKlUq+J76WJkZESLr5pjJjXj6X0fbbnETMLsDTNYN2s9CTEJeeplZWXh8+Il9WtV12mrfu3qPHqq33DOzMrK45mWmJry0FvTr1KpRKlUITE10ZWRSHjw+Ol7nc8/jokxZpXKkH7TK6dMrSb9lhdm1SsYrJYbkVSCyFiMMun1dSgSYdG8DllBYRTdtohSNw5S7PAaLFo1MNhGVraSZ2Gx1CtdWFtmZCSiXpnCPA6ONlgvN8fvvaBdtZJI3xp/T/9IWvywn64rjrL4txskpmXob0BsjFHxMmQ/y7keUavJfvYQcSnDYyHp0g91SiJZ10+/U0eRpQ3GVeqSef20wf6irj3BoVYZvfXta5cm6toTnbKIy49xqFVap8ypQQW6em+kw7X/UWvZYExtLXR1drCizv+Gcee7LViVLaJzDLWa6GtPsKutXwe7WmWIvqqrQ9TlxwblJQ5WuLSuTtCBy3mOlRv/FZ18fqbluSWUGdNZx2BzKeaCvbMdD3I9H9JT0vH1ek6FmuX19vU2RkZGNPuqGRKpGc8e6L+vAcwtzUlPTUel1J2ntXN1wsrJFr8bOeebkSIn1MufYjX1n+/HIDYRU69PS+TJaUQ8C/ls7eaL6vNsCoWC5ORknU2hUOTpDjSze/fv36d169baMiMjI1q3bs2tW7f01gFYsGABTk5ODB069FPP+r0QpqT/A7i6urJmzRpEIhHlypXD29ubNWvWMHz48HfWbdmyJZMn50wNhIaGvlefWVlZbN68mVKlNF68cePGsWDBgo87gddYO9oAkByTqFOeHJOkPfYuRCIRfeYO5sW9Z4S90H8uFraWdBnfk8sHz9PaTVOWkJaBUqXG/i3Pn72FlKDoxDxtvI13SDQvI+OZ1zvH+xCfKiddkcWOi16MbV+HiZ3rcdM3lMm7z7J1dBdqlyqsty07RzuNTrG6Bl1CTAJ2jrb56lGivBs//f4jphJT5Gly5g7/gWC/nAft2PmjeHrfhxtn9T+EEpKSUSpV2NvZ6JTb29oQGPxKb51GdWuy5/BxalerhGuRQty+/4gLV2+hVGmmRc1lMqpVLs/m3Yco6eaKva0Nf52/yqOnvhQrUijf8ykoxLZWiIzFZMfp/gbK2ARMSxR9rzYcJw8hOzqe9Juaf+xiexuMzGXYDe9F7LrdxKzcgXmTWhReP5vQgd8jv5d32jb/69KwV/IN3iExvIxMYF4P3emqRuWK0KpycYrYWRIal8yG0/cZu+MMe8Z2QWyk60cQWVghEotRJ+uOhTo5AbGLq95+xaUrYdK4PWkLRus9/jYmDduAIp3sB9cN9pcRk4xVaf33jJmjDRkxuuOhiEnCzMlGux9x6RGv/rpHWkgMFm5OVJnRm6b7p3Gh8zytR6jeulH4771A+qtYjIzzTtErYpKwNKSDkw2Kd+iQm2K9m5KdmkH4X7oxxv7bzpDoHUhmQir2dcpSaeY3DCtkxpYFWwG0z4DEt54PiTEJ2Dnl/3xwK+/G2uOrtc+HBcMXEuKn3xCzsrWi78Q+nDqQdxbA0tEagNS3zjc1JgnL93xW50f5ljXou34CJlJTUqIT2fbtEtITDDsAPifqzxTDuHTpUn744Qedsnnz5jF//vw8srGxsSiVSpydnXXKnZ2d8fXVb9Bfv36d7du34+Xl9XkUfg8Eg/E/QP369RHlmlpt0KABq1atQqlUIs4nLgmgdm3D0wf5IZPJtMYiQKFChYiONuzxUCgUed6u6nZtxOAlOf9Q1g5Z8lG65ObbhcMpWq4YS3rM0nvczELKpJ0zCX8Zyu9rD9N6bf1P7hPg+B1fyhSy00mQUb32Xjav5Eb/ZlUBKF/EgUdBURy96aM1GFt/3RKPZZO09WYMnP3ReoT6v2JYu1FYWJrTtFMTvl8zlUk9JhPsF0LDNg2o0agGw9uN+uj29fH9hBHMX7GeLt+ORiQC18KFcO/YWmcKe+nsycxduo6WXw9ELDaiQtlSdGjVFJ8XLz+rLl8KdsN7YtWxGaEDpqF+EydnpLlHUy/eImH3cQAUvgFIa1TE5puOeg3GT+X4veeUcbHNkyDTvnrOvVumkB1lC9nRefkRPP0jqVdGv0H03kikSIdOJ2PPWtSpeWP99GHSqD1Zdy5Ctv7Yt89B6O+3tX8n+YaS6BNC5ztrcWxYkejrTykztB3GFmY8+/F3JK8Nor8Tt2+aE/rbDVRvxfu9/Pkv7d/Jz0KxqeJGt2Ff07GvJpFuzqC8SWrvyyv/V4xpPxaZpTlNOjZmyprJTO05LY/RKLOQsXD3D4T4hbB39T5auLfgu2UTtMd3DsmbKPQ58b/lw7qO32NuZ0ndb1rS76eJbHB//xmwL4EZM2bg4eGhUyaRGA77+BBSUlLo378/W7duxcHh02LAPwTBYPx/jrm5uc6+0WvvQu4YyKysvA9xExPd6S2RSJRv3KS+t60GRWoSlCvzzfj1lJmVow1JubyMVo7WhPoE5X8iwLc/DKN6y1os7TWHhMj4PMfNzM2YvHs2GakZrB+5AmV2TmKArbkZYiMRcSlynTpxqXIc3hFvKFdkccbLn9HtdI1vW3MzjI2MKOWs+9ZfwtmGh4E5mYQ3zt7C52HOW6Tp63GwdbAlPjrnPGwdbXn5NP9MweysbG2m5AtvP8pXK0f3oV+z+vt11GhUncLFC/Gnz3GdOj9smYtIqUCZGIattRVisRFx8Ym645CQiIO9fu+Fna01Py6djUKRSWJyMk4O9qzZvIuihV20MsWKFGLXhmWkyzNIS0vH0cGOyfOWU7SQi942CxplQjLqbCXGb52z2MGW7Ni8U/m5sR3SHbvhvQgdMhPFiyDdNrOyUbzU/ees8A9FZiDU4JOuy8wszjwKYHTbmvnKARS1t8LW3IzQuOQ8BqM6NRm1UonISncsRFa2qJLz3mdGToUwcnBBOi7XjMPrF1rLzadInTMEdUxOTKO4TGXEhVyRb1msp79YrZyZoxUZBryqGTGJmL1l5EkcrcnIZ3YgLSSGjLhkLEs4E339KU6NK2Jfqww9gndr9FCrEYlEtDiziNDfbnB/wuZ828yITsxjaBqSt69XDssyhbk78keD+r0hcP8lSvRvxYLhC4kMjcTk9fPBxsGW+Oica9HG0Rb/93o+aMb+pfdLylUri/uQrvw4Y71WRmouZfHehchT5fwwfCHKbCW3z91m3eOcDOw3z2oLR2tScj2rLRytCX+PZ/W7yJIriAuOIi44ipCHL5l6aTV1erf45Hbfi8/kYZRIJO9tIDo4OCAWi4mK0g1/ioqKwsUl7zPS39+foKAgunTpoi1TqTSKGxsb8/z5cx2HzudCiGH8D3Dnzh2d/du3b1OmTJl3ehf14eio8UTkTmD5HC7vGTNmkJSUpLOVFrsSHRyp3cL9QkmMTqBiwyraemYWUkpVL8PLB/kv3/HtD8Oo2a4uK/rOJ/ZVXk+nmYWUyXvnkp2VzY/DlubJ4jMxFlOhqCN3/XKWrVGp1Nz1C6Nqcee3m9Ph7KMAMrOVdHorvsrEWExFV0eC3ppiD45J0llSR54mJzwoXLsFvQgmLiqOmo1raGVkFjIqVC+vE4/4PoiMRJi8ji888NMhhrYZybB2o7QbwMYfNqNM1jyoTExMqFi2NHfu5yxHolKpuHP/EdUq5R8fJZGY4uzoQLZSybkrN2nRuF4eGZnUDEcHO5JSUrl59wEtm3weD+9nJyubjKd+OgkriETI6lcnw+uZwWp2Q3tgP7oPr4bPQfFEd9kasrLJePIiz5S2qVsRssL1e+dNjMVUKOLA3Zc596NKpebuy3CqFjecOQlw9nEgmdkqOtUona8cQFRiGonpGfqNUGU2qmA/jCtUzykTiTCuUB2lf96xUEWEkjpvBGkLRmu37Ee3UT5/RNqC0ajjdZcPMmncHmXQC1SvAvLtz7lxZWLfWgroDXGeL3FqXEmnzKVpZWLvG/ZgSwvZIbG1QB6VCMDD2Xs422oGZ1vP5GzrmaS8XjLr7sgf8Vn6C4hEODWuRLynfh3i7/vh1KSyTplT0yp65d36NifhUQBJPu+Oy7MsWQilUsmLx36EB0UQ/CKEuKh4ajSurpWRWcgoX71cvvGI+hAZiTCR5Lz8yyxkLNm/mKysbOYN+UGbcS1Pk2sNuLjgKKL8XpEcnUDphjnnK7GQ4lq9FCEP9I/PpyAyMsLY9J/xb6lVn2f7EExNTalVqxYXLlzQlqlUKi5cuECDBnljnMuXL4+3tzdeXl7a7auvvqJFixZ4eXnh6qo/VORTETyM/wFCQkLw8PBg5MiRPHjwgPXr17Nq1aqPaqt06dK4uroyf/58Fi9ezIsXLz66rdzoe9sSi/IatOd2/EmX8T2ICoogNjSaryf3ISEqgQdnc5admLp/Hg/O3OXCHk1sTf+Fw6nftQk/Dl+GPE2O1esYGnlyOlmKTMwspEzZOxdTMwlbJq3DzFKG2evEGBABGs9o/6ZVmHPoMhVdHalczIn9V72RZ2bRta4m4Wb2gYs4WZszoZOuIXT8ri8tKrthY26W53wGtajGtL3nqVmyEHVKF+ambyhXfYLZNrpLHtncHN1+jP4T+hIWGEZEaARDpgwiNiqO62duaGVWHVrBtdM3OL7rdwCGfT+Eu5fuERUWjcxCSiv3llRvUI1p/WYAmhhIfYkuUWHRoMrW7g/o7c6sJWuoVL4MlSuUZd+R35HLM3DvqAnInrFoFU4O9nw3ahAAj58+Jyo2jvJlShIdE8vGHQdQq1QM6dtd2+aNO/dRA26uRQgJi2DVxh2UKFZU2+ankJ4uJ+RVjvcjLDwK3xf+WFtZUsglf6MqPxJ2HcNl2WQynviR8VizrI6RVELSb5qpdpdlk8mOjiN29S4A7Ib1xH5CfyKmLCcrLAqxg8Yjp0qXo07XJJTEb/+Vwqu/R+75hPQ7jzBvUhuLFvUIHTDdoB79m1Rmzi9XqVjUgcqujuy//gR5ZjZda2vWsJx96ApO1jImdKijU+/43Re0qFQsz3WZrshi87mHtK7ihr2llFdxKaz96y6u9lY0LKc/PlNx7lekQ6aiDPLTLqsjMjUj68YZAMyGTEWdEIfi2A7IzkIVHqRTXy1P1YzFW+WYyTCp1ZSMIz/rFL/pz61nJHFe/pQb3h5jmYTAQ1cAqPfjKNIjE/BechiAF9tO0/K32ZQb2ZHwCw8p1rUBttVK4jl1OwDGMgmVJnfj1cl7yKMTsXBzptqcPqQGRhF5WZNklx4Wp6OD346z1FoyCMuyRUl5EUaN5UMQy8wIfq1DrfWjyYiI5+lrHV5uPU3TY3MoPaojkee9cHXX6PBwqm4CorGFlCJd6uE9f3+ecbarVQbbmqWIveFDVmoG9rXLUGXBt1z87RKpSalauePbj9Nn/DeEBYYRGRrFwCn9iYuK4+aZm1qZZQeXcvP0Tf7YfQKAwdMHce+yJzFh0UgtZLTo2pyqDaoy61tNCMwbY1EilbBi4v+QWcqQvX5OJsXl9exe33GKluPdiQ2KJCE0mraTe5IclcDTXOsqDt8/iydn7nFrj2bNTVOZBHu3HI+ZnasjhSoWR56YSmJ4HCZSCS3HufPs/H2SoxMxt7WkwYC2WLnY4n3yDm0m9cijx38FDw8PBg4cSO3atalbty5r164lLS2NwYMHAzBgwACKFCnC0qVLMTMzo3Jl3ZcTGxsbgDzlnxPBYPwPMGDAAORyOXXr1kUsFjNx4kRGjBjxUW2ZmJhw8OBBRo8eTdWqValTpw6LFi2iZ8+en1lr/fy1+TimUjMGLR2FzMqcF/d8WT1woY5H0Km4CxZ2OR66lv01iw1/f3ihTlvbpmzgxtFLFK9cklI1NP9cV1zdqCOTcWEbarkmzqpdjdIkpGWw6YwnscnplCviwMbhHbF//dCMSEzViRUFCIpO5GFgJJtGdNJ7Pi2rlGB29yZsv/iQFcduUNzJhpUD21KjZP7JHoc2HkYqM2Py8klYWFngfe8J07+dobPGWuHihbC2s9Lu2zrYMGPtNOyc7EhLSSPgWSDT+s3g/rUH+fb1Nh1aNSUhMYkN2/cRG59A+dIl2bxyAQ52GgMoIioGI1HO5IQiM5P1W/fyKiISmVRKk/q1WDpnMlaWORmoKWnprP15N1ExsVhbWtKmeUMmDB+AyTvWo3wfnvj6MWR8jsG1Yv0WALp2aM3i2frXensfUk5dRWxnjcP4bxE72qF45s+r4XNQxiUCYFLYidyLWdr06YSRqQlFftSNQY3dsI+4DRrjIPX8TSLnb8B+RC+cZo0iM/AV4RMWIX9gOFu8XfWSmuvy7H1iU+SUK2zPxqHttIkwBq/LoCg26VmI28hIhF9kPCfu+5GSkYmjlYwGZYowtl0tTPUkegBke14hw9IaSdcBmqno0ADS183SrsFoZOekjdn9EEzqNAcg6+4lvf1VnvZ64e6nwVzpu1y7/qGsiL3O0iVxnn7cGvMTVab3pMqMXqQGRnJj8GrtGoxqlQrrisVw69UEEytzMqISiLzijffyI6gys9FH+LmH1FoyiJKDWlN+kjtJT4O50WeZjg6oclxJ8Z5+3BvzExWn96TSjN6kBkZya/Bq7RqMbyjq3gAQEXrsJm+jyszC1b0BFaZ0R2xqQlpoNC9/PsW6HboLfv+y6QhmMjMmLpuAhZUFT+89ZVb/OTrPh0LFC2GV6/lg42DD1DVTsHOyIz0ljcBngcz6drY227p05VLaLOtd13WXchnQYCBE6K4VemXzCUylErovHYaZlYyge8/ZMXCZzrParrgz5rme1UWrlmTkobna/S5zBgDgefQKR6ZsRq1S4VSqMLW6N8Xc1pL0xFRCH/uzuecPRPnpT7r77BTQwt29e/cmJiaGuXPnEhkZSfXq1Tl9+rQ2ESYkJEQbMlZQiNTvs2CfwBdL8+bNqV69OmvXri1oVT6YwW7d3y30N7Nxw+ddu+9j6Djq09ci/FTOPtj4bqG/G6MPD6H43AQ0HlvQKlBs+T8Uq/UOsv48X9AqcOpP/V+z+Scx+QL+Rf5skn/c7D9BdbFNQavA8qCDf3sfMW30r7P5oTieu/JZ2vmSEGIYBQQEBAQEBAQE8kWYkv6Pcu3aNTp06GDweGpqqsFjAgICAgIC/x/5XOsw/hcRDMZ/OZcvX9ZbXrt27X90QU8BAQEBAYF/O4LBaBjBYPyPIpVKKV363ctpCAgICAgICAi8C8FgFBAQEBAQEBAAUIveLfP/FMFgFBAQEBAQEBBAmJLOD8FgFBAQEBAQEBAA1CrBw2gIYVkdAQEBAQEBAQGBfBE8jAICAgICAgICCFPS+SEYjAICAgICAgICgFpIejGIYDAKFBg2mBS0CoRNO1PQKrDVquAjQwKbjS9oFb6IB3XJ6z8VtAr8XGPuu4X+AVakRRS0CjR4/R33gkRZUB8XzsVvo5wKWgWW/6z/m9sC/38QDEYBAQEBAQEBAYQp6fwQDEYBAQEBAQEBAYQs6fwo+LkwAQEBAQEBAQGBLxrBwyggICAgICAgAKjVBa3Bl4tgMAoICAgICAgIIExJ54cwJS0gICAgICAgIJAvgodRQEBAQEBAQADBw5gfgsEoICAgICAgIIAQw5gfwpS0wDuZP38+1atXL2g1BAQEBAQE/lbUKtFn2f6LCB5GgXcyZcoUxo//Z74E0v67njTo0xIzK3OCPJ9zZPZ2YoMiDcqXrFueliO6ULRKCayd7dg+YiVPznrqyPRZOZq6PZrplD274sWWgcvytGfdpws2Q3ogdrAj83kAMYs3ovB+rrdvqx4dsOzaGtPSxQFQ+Lwkbu1OHfnSPvq/JBO7ciuJO47qPfZF6NC3C3ZDeiB2sEXhq9Ehw/uFftme7bH8qjWSMhodMnxeErdmZx5505KuOEweirROFURiMZn+IYRPXEh2RIzedm36dsZuaI4O0Ys25auDVddWOTo8fUnsml16dXCcMkSrg8I/hPAJiwzq8L54enmz88BRfHxfEhMXz7qlc2jVtOFHt1d3cncq9WmBxFpGxL0XXJ65k6SgqHzrVBnYmhojOyFztCb2WQhX5+4h2itAe7xS3xaUdW+IY2U3TC2lbKk0gszkdJ02bEq40HB2HwrVLstAExG+T1+wcskGbl2/B4DHjLH07d8dK2tLPO94MXPKQoICQt7rnMZMHMr38yaxffNefpi5Qlte3K0osxZMoU79GphKTLly4QZzpy8lNiZObzs9PfrQqk8bzK3Mee7py7ZZm4kMMvxVGvcx3anbvj6FSxUlM0PBi/vP2b9sNxEB4TpyZWqW45up/ShdvSwqpYpgn0AW9/8BpSIjT5u9PfrSuk9bZFbmPPd8xpZZm/LV4esxPajXvgFFShUhMyOT5/d92bdsN+EBYQA4FnVi041teuuuGr0c8NEpM67ZCpN6HRBZWKOKDiXz7D5UEQF66xtXaYyk83CdMnV2Jun/y1Ums8K0RS/EJSojMpOhDH1O5tl9qBPyv+b00fK77tTq0wIzK3NCPF9wYvYO4vO5dovXLU/jEZ0oVKUEVs62HBixGt+z9z+4X4G/H8HDKPBOLCwssLe3/9v7aTnqK5oObs+RWdtY6z4bhVzBqD0zMJYY/oSgqcyMsGfB/Dp3Z75tP7vsxdw6I7Xb3vHr88hYtG+Gw/QRxG/cT2iPsSh8Ayi8ZTFiO2u9bUrrViXl5CXCBk/jVd/vyI6MofDWJYidcsYqsOk3OlvUrFWoVSpSz17X2+YXoUOHpjhOH07cT/sI6T4OxfMAimzNR4c6VUn56zKvBk0npM93ZEfEUGTbEoxz6WDiWgjX/avIDAzl1cBpBLuPJm7TAdSKTL1tWnZoiuP3I4j9aT/B3cajeB5I0W2LDOogq1uVlJOXCR34PSHfeJAdGUPR7Yvz6FDswEoyA0IJHTCdoK5jiNtoWIcPQS7PoFzpksyaPOaT26o5ujPVBrfl8swdHOkyjyy5gq/2TUecz31Quks9Gs/px721xzjccTZxPiF8tXc6UnsrrYyx1JTgy4/x3PCHwXY675qMkVjM8d5L6NSiNz5PXrDz4AYcnewZPWEIg0f0ZcbkhXzVph/p6XL2Hf0ZicT0nedUtUYl+g7qgc8T3RcfqUzKvl+3oFar+abrMLq1H4CJiQk7DqxHJMrrpflq1Nd0GNSZbTM3M6vrNDLSM5i5dx4m+YxNhXqVOLPnFLPdp7H42/mITcTM2jsfiVSilSlTsxwzd8/l8VUvZn01lZlfTeH07r9Q6/nsh/uobnQc1JktMzcxs+tUFOkK5uz9IV8dKtarzOk9J5nhPpUF385FbCJmzt4ftDrEhccyrPYAne3Qqv3IU9N5eFnXeBJXqItpqz5kXf8d+Y55qKJCMes9BWSWBvtXZ6ST/uOEnO2nyTrHzXpMxMjGCcWv65DvmIs6KQ6zPtPA5N2/bW4aj+pMvcHtODFrJ1vc55IpVzBgz/fveIZLiHwWwsm5uz6or78LtVr0Wbb/IoLB+C+mefPmjBs3jnHjxmFtbY2DgwNz5sxB/Y4gjA0bNlC5cmXt/vHjxxGJRGzevFlb1rp1a2bPng3knZIeNGgQ7u7urFy5kkKFCmFvb8/YsWPJysr6pPNpNqQDZ9cf48m5+0T4hnDA4yesnG2p0ra2wTq+l704teoXvM/cy7ft7MwsUmKStJs8OS2PjM2gbiQdOU3KsbNk+YcQ88OPqDMUWHZrp7fNqGnLST70J5m+AWQFhhI9Zw0iIxGy+jW0MsrYBJ3NvGUD5Hcfkf1Kv9f0S9DBdmA3ko+cJvnYOTL9Q4ievx51hgIrAzpETltB0sE/UfgGkBX4iqg5a8FIhLRBda2M/aSBpF29R+zK7Sie+ZMVGkHapdso45P06zDoa5KOnCL5N40OUfPWo8pQYN29rV75iKkrSDx4EoVvAJmBr4icvQ6MjJDl0sFh0kBSr9wjZuWOXDrcMajDh9CkQR0mjBhI62aNPrmtakPb47n+dwLPPiDON5TzkzZj7mxDyXa1DNapPrwDTw9e4tkvV0nwC+fSjJ1kZyio0DvHs/5o+xkebDxB1IOXetsws7XApmQh7m88QZxvKEEBISxbsAaZuYxyFcowdNS3rF+1hXOnLuHr84LvRs/EycWRtp1a5ns+MnMpP/68jO8n/UBSYrLOsdr1qlO0WGEmj5vN82d+PH/mh8eYWVStUYlGTevlaavj0C78tuEXPM/dJcQ3mJ881mHrZEedtnll37B04AKuHL3IK79Qgp8FsXHyjzgWdaJklVJamYFzhnBq10l+3/Qbr/xCiQgI5/bJG2Rn5v1+cqehX/Hrhl+4d+4Owb5BrPdYg62THXXb1jeow+KB87mcS4efJq97rUNpAFQqFYkxiTpbvfYNuHnyBhnpuh5Ok7rtyX50hWzva6jjwsk8vQt1diYmVZsa7B/UqNOStBvpOb+DyM4ZcZHSKM7sRhURiDo+kszTuxEZm2JcsUE+bealwZD2XF1/HN9z94nyDeU3j01YOttQvq3ha9fv8iMurDrCszOeBmX+SdSqz7P9FxEMxn85u3fvxtjYmLt377Ju3TpWr17Ntm36pzbe0KxZM3x8fIiJ0UzDXblyBQcHBy5fvgxAVlYWt27donnz5gbbuHTpEv7+/ly6dIndu3eza9cudu3a9dHnYe/qhJWTLS9ueGvLMlLkBHu9xK1m2Y9u9w2l61dkgefPzLiwmh6LhiKzsdAVMDFGUrEM8tsPcsrUatJvPcSsesX36kNkJgFjY5RJKXqPi+1tMG9al+Rf9U8Rfyk6mFUqQ9qthzo6pN16iLR6hffWQWRsjOqNDiIRFs3qkhkURpGtiyl5/RCuh9Zi3srAP6PXOqTf9NLRIf2WF2bvq4NUgshYnDMOIhEWzeuQFRRG0W2LKHXjIMUOr8HCkA4FhZEx5s42hF57oi3KTJET5eWPS80y+quYiHGqUoLQ609zCtVqXl17ikut0u/ddUZCKgkvwynfvTHGUglisZh+g3oSEx1HQlwiTi6OXL98WyufkpKK131vatWplm+7i1bM4uK5a1y/cjvPMYmpKWq1msxcXl6FQoFKpaJOrpceACdXZ2yd7PC+/lhbJk9J56XXC8rULPfe5ymzlAGQmpgKgJW9NWVqliM5LokFvy3jZ89dzDu8iHK1815rb3R4fP2Rtiw9JR0/rxeU/SAdzF/roP8+LVm5FCUqleTi4XO6B4zEGLm4oQzM9VujRhn0FKMi+fzWpmZIx6xCOnY1ku4TETkUyTkmfu39y879wq9GrczCqKj+a04ftq6OWDrZ4n8jRzdFipwwL39cDVy7Av8uBIPxX46rqytr1qyhXLly9OvXj/Hjx7NmzZp861SuXBk7OzuuXLkCwOXLl5k8ebJ2/+7du2RlZdGwoeEYLFtbWzZs2ED58uXp3LkznTp14sKFCx99HpaONgCkxuh6e1JjkrTHPhbfK17s99jIpn6LOLH8AKXqVWDEru8RGeVMG4htrDQGRmyiTl1lXALGDrbv1Y/D5KEoo+OQ33qg97hl1zao0uWkndM/FfxF6RD3tg6JiN9TB8cpQ8iOjiP9psboFNvbYGQuw25YL9KuexI2bCap529S+Mc5SOtUyauDrUaH7LgEXR1i338cHCcPITs6Pq8Ow3uRds2TV0NnaXRYP1uvDgWFyEgMQHqsricuPSYZmZOBkAA7S4yMxcjfunfSY5OQOeqvY4jjfZbhWLk4I3234hfhyfDRAxjQcxRmMs3U6dtxhbExcTg6ORhsr0u39lSuVpHlC9bqPf7A8zHp6XJmzP8OM6kZUpmUWQumYGxsjJOzo46sjZMNAElv3R9JsUnYOL7fdSESiRg4byi+93wIfaGJvXQu5gxAj0m9uXjwLEsH/kDgkwDmHFiAi1shnfq2Tpp+EvPokPhBOgyeN4xnuXR4m5bftCHUL4Tn931168osERmJUafr/tbqtCREFvp/a1V8BJknt6M4ug7FHz+DSIS0/2xElhp91XERqJJiMW3eE8xkYCTGpH5HjKzsEVnYvNc5AVjk8wy3+MRn+D+JSi36LNt/ESHp5V9O/fr1dWJ9GjRowKpVq1AqlYjFYr11RCIRTZs25fLly7Ru3RofHx/GjBnDihUr8PX15cqVK9SpUweZTGaw30qVKum0X6hQIby9vQ3KKxQKFAqFdt/Y2JhlT3dp97cOWf4+p/tRPDxxS/t3xPNQIp6FMPvaj5SuXwm8rn2WPmyG9cKiY3PCBk5Fnal/at6qWztS/rxo8Ph/QQfbYb2w7NCc0IHTcvp4fX2mXrxF4u5jACh8A5DWqIh1707I7xm+bj4Gu+E9serYjNABuXQwytEhYfdxHR1svun42XV4X0QSC8QWOQaXMslwgtc/QbPFA0mPTebuuuNUHdUROwdbTl46zKhBHh/cVqEizsxf8j39uo1AYSBOND4ugdGDJ7Nk5RwGj+iHSqXij19P4e3lQ3E3V3b7HNTKLhu86KPP6w1DFo7AtWxx5vWYoS178+J4fv9ZLh+5CEDQ00AqN6pK/9mDqNSwqlZ26eAFn6zDsIWjcC1bjNk9vtd73FRiSpOvmnJ0/S+f3BeAKswfVZi/dl8R9hLpiKUY12hB1tXfQKVE8dt6TDsOwfy7TahVSpRBT8n2fwQYNnyqdm1IlyVDtfv7h/zvs+hb0PxX4w8/B4LB+P+U5s2bs2XLFq5du0aNGjWwsrLSGpFXrlyhWbNm+dY3MdENYhaJRKhUhgM3li5dyg8//KDdt7CwoF3pxtSw0kw3G5tq2rNwtCY5JjFHztGacJ/gDz29fIkLjSY1LhkHN2fw0pQpE5NRZysRO9joyIrtbcmOTcjTRm5sBvfAdlhvwod+T+aLQL0yZrUqY1rSlcjJSwy280XpYP+2DjYo36GD7eDu2A3vxashM3R0UCYmo87KJtNf15uSGRCCtGalvDokaHQwttf12Igd3j0OtkM0OoQOmYniRZBum1nZKF7q6qDwD0VW6/2m+/8O1JlpZCfkilF7bVzLHKxIj07UFsscrYh9qt8bJY9PQZWtRPqWN1HmYE36W96e/CjaqBJurWqwtfJIUKuZsk8T2nLgt63UrV8TAAdHe6KjYrV1HBzt8Xniq7e9KtUq4ehkz1+XD2vLjI2NqdewFgOH9aG0Sy1UKhXXLt2iSa2O2NrZoMxWkpycguezS5w+eZ5fciVCmLx+Rlg72JAYnXMdWDtYE+Sj/5rPzeAFw6nZqg7ze80kPjLHU5rwuq1XL0N15MNevkIkgqkdJuXob6r5l2mTRwcbgnz0ZynnZuiCkdRqVZu5b+mQm/odG2IqlXDl14t5jqnTU1CrlIhkur+1yNwadep7/tYqJarIYIxsnXOKIoPI2DEXJFIwMgZ5CmYD56KKMDyuvucf8MorxxAVvx4bC0drUt96hkd85me4QMEgTEn/y7lz547O/u3btylTpoxB7+Ib3sQxHjlyRBur2Lx5c86fP8+NGzfyjV/8GGbMmEFSUpJ2CwsLo1C8BbHBUcQGRxHp94rk6ATKNsxJxpFYSClevTRBD/QvpfKxWLvYIbO1IDnXP2SyslH4+CHNHTclEiGrX50ML588bbzBZkhPbEf1JXzELBRP/QzKWXVrR8aTF2Q+z+efyheiQ8ZTP2T1q+fRQe71zGA126E9sBvdl7ARs/PqkJVNxpMXmJYoqlNs6laErPBowzrkSljJGQfDOtgN7YH96D68Gj4HxZNP1OGfQq0GVXbOpswiLSqRoo1zDGkTCynO1UsR+UD/b6vKUhLtHYhro1zGt0hE0caViLyvP8FFH8bS1xmxKhVZaRkEB4YSHBhKZmYmcXEJREfG0KhZTnKJhaU51WtV4f69R3rbu3H1Nq0bfU37Zj2126MHTzh+5CTtm/XM84KZEJ9IcnIKDZvUxcHRjpO/nyMqOFK7vfILJSE6niqNcjx+UgsppauXxe+B/mWn3jB4wXDqtqvPwj5ziAnV/b1jQqOJj4yjcMkiOuWFShYmMiiSyOAI7ZajQ07cptRCSpnqZXnxDh2GLhhJ3Xb1md9nNtGhhpeZadW7DZ7n75Icn5z3oEqJKjIIsVvulxwR4uIVUYW9528tEmHkVBR1amLeYwo5yFMQ2Tpj5FICpd/DvDKvyUzLID44SrvF+IWREp1AyYY516HEQkqR6qUINXDtfokI6zAaRvAw/ssJCQnBw8ODkSNH8uDBA9avX8+qVaveWa9q1arY2tpy4MAB/vzzT0BjME6ZMgWRSESjRp+e7ZkbiUSCRCLRKTMW6Rq1V3acos34r4kJiiQ+NJoOk3uRHJWAd651FUfvn433mXtc36NJ2jCVSXBwc9Eet3d1onDF4qQnppIYHoepTEK7iT14fPoOyTFJOBRzpsuMvsQGReF79RHNc90Bibt+w2npFBRPXpDh/RybAV8jkpqRcuwsAE5Lp6KMjiVujWYJH5uhvbAf35/IqcvJDo/Sxvip0uWoc2U2isxlWLRrSuz/trxznL4EHRJ2/4bL0ikonvhpdTCSmpH8WgeXZVPIjooj9rUOtsN6anSYspysMP06JOw4SqFVM5B7epN+5xHmjWtj3rw+oQOn6ddh1zFclk0m44kfGY+fYzvQHSOphKTfzr3WYTLZ0XHErt4FgN2wnthP6E9EPjrEb/+Vwqu/R+75RKNDk9pYtKhH6IDp7xyTd5GeLifkVc66fmHhUfi+8MfaypJCLk4f1Naj7aepPd6dxMAoUkKjqTelB2lRiQScyVlepevBGQSc9sR7t2Y8vLaeovXqkUQ/DiTKy59qQ9tjLJXw7Jcr2joyR2tkjtZYu2k8S/blXclKlZMSHociMY3I+34oktJovWYkd9cep0RCIn0GdMe1eFEunr2KSqliwuSRBPmHEBIcxpSZ44iOjOHsyRxP2MFjWzl98iK7tx0kLTWdF890jZj0dDkJCYk65T37uvPyRQDxsfHUrFOd+Uuns23TXgJeBuFsWUqn/l/bT/D1+J5EBIYTHRpN78l9SYiO597ZnBfn2QcWcO/Mbc7s/guAoYtG0uirpvxv+BLkaXKsX8fTpSenk/V6qvzEz8fp+d03BD8LJOhpIM16tKRIqSKsGbWCtzm5/Q+6j+/1Wocovpncj4ToeO6ezUnqmXdgIXfO3Ob07pMADFs0iiZfNWX58MVkpMmxyaVD7oQfl+KFqFCvEksGGZ76zrp7Gknn4agiA1GGB2BSpx0iEwlZjzXhNaadR6BOSSDryhEATBp1RRXujyohCpFEhkn9joisHMjyyrk2xOXraLyXyXEYORbFtHU/lC/uowx8olcHQ9zacZpm492JC4okITSGVpN7kBKVqLOu4qD9M/A548ndPZpr11QmwS7XM9zW1RGXisWRJ6aSFK7fC/t3InzpxTCCwfgvZ8CAAcjlcurWrYtYLGbixImMGDHinfVEIhFNmjTh5MmTNG7cGNAYkVZWVpQrVw5zc/O/W/U8XNz8B6ZSCb2WDkdqJSPw3nN+HriMbEVOvJ1DcWfM7XLWG3OtWopxh+Zq993nDADg7tErHJyyCbVSReEKxajTvSlSK3OSoxN4fvUxf63+BWVmts4dkHr6CmI7a+zGD8D49WLR4SNnaRNATAo5Qi6viPU3nRCZmlJo3Ryd84j/aS/xP+3T7lt2bAYiSD156Z1j8EXocOoqsbbW2E/or1k0+1kAYSNma3UwLuSEWpXzVLX5pjNGpqYU/lFXh7gN+4h7rUPq+ZtE/bAeuxG9cZw5mszAV4RPXEjGg6foI+XUVcR21jiM/xaxox2KZ/68Gj4nZxwKO+k82W36dMLI1IQiP87WaSd2wz7iNuzX6hA5fwP2I3rhNGuURocJi5Ab0OFDeOLrx5DxOYbnivUaw7xrh9Ysnj3ZUDW9PNj0J8YyCS2WDUFipVm4+0T/FShz3QfWxZ2Q5roPXp64g9TOirqTu2PuaE2MTzAn+q9Anit5pvK3rajr0U273/1Xze913uNnfI9cIyMhlRP9V1B/Wk++PjyDzsYiXvj6M+zbCTx7+oJnT18gNZeydM08zcLdtx/Sv+confjEYiVcsXsrnOFdlCrtxvQ5E7GxteZVSBjrV29l28Y9emX/2HwMicyMEUvHaBfNXjpgAVm5xsa5mAuWtjnrT7bt3wGA+b8s1mlr4+QfuXJUY+z+teMEJhITBswZioWNBcHPgljUbz5RIXljSo9v/g2JzIyRS8dibmWOr6cPiwbMz6ODVS4d2vfvCMCCX5bqtLVh8louH80xuFv2ak1cRByPrhr27Cmf3SVTZoVJk26Ymlujig4h45eV2qVyjKzsUOVa10VkZo5ph8GaaeuMNM30896FqONyXnBEFjaYturzemo7kewnN8i6/rtBHQxxffOfmEolfLV0KGZWMkLuvWDvwOU6z3Dbt57hhauWZMihnPu2w5z+ADw8epVjU37+YB0E/j5E6nct2ifwxdK8eXOqV6/O2rVrC1qVj+I7t28KWgXGyvKPifv/wpeQ1fclBJuXvP5TQavAzzXmvlvoH2BFmv6p5n+SBm95GAsCJQW/qN7uUe+Xgf13svznvGtS/tMsCNr/t/fhU6rTZ2mnov/Jz9LOl4TgYRQQEBAQEBAQ4Mt4ef5SEQzG/yDXrl2jQ4cOBo+npqb+g9oICAgICAj8O/gSZjq+VASD8V/Mmy+zvE3t2rXx8vL6R3UREBAQEBAQ+O8iGIz/QaRSKaVLv/8nwQQEBAQEBASELOn8ENZhFBAQEBAQEBCgYD8N+NNPP+Hm5oaZmRn16tXj7t27BmW3bt1KkyZNsLW1xdbWltatW+cr/zkQDEYBAQEBAQEBgQLk8OHDeHh4MG/ePB48eEC1atVo164d0dH6Pyxw+fJl+vTpw6VLl7h16xaurq60bduWsLCwv01HwWAUEBAQEBAQEECT9PI5tg9l9erVDB8+nMGDB1OxYkU2b96MTCZjx44deuX379/PmDFjqF69OuXLl2fbtm2oVCouXLjwqUNgECGGUUBAQEBAQECAzxfDqFAoUCgUOmX6vngGkJmZyf3795kxY4a2zMjIiNatW3Pr1q336i89PZ2srCzs7Ow+TfF8EDyMAgICAgICAgKfkaVLl2Jtba2zLV26VK9sbGwsSqUSZ2dnnXJnZ2ciI/N+bUgf06dPp3DhwrRu3fqTdTeE4GEUEBAQEBAQEODzLdw9Y8YMPDw8dMr0eRc/B8uWLePQoUNcvnwZMzOzv6UPEAxGgQIk4wv45JZLV4uCVoFe++UFrQK/rm1c0CqAuOAfR1/CZ/lGPlxQ0CoA0Hfo4IJWgVP3Cv7+lKoK/jllPe98QavAX7ZNClqFf4TPtXC3oelnfTg4OCAWi4mKitIpj4qKwsXFJd+6K1euZNmyZZw/f56qVat+tL7vgzAlLSAgICAgICBQQJiamlKrVi2dhJU3CSwNGjQwWG/FihUsXLiQ06dPU7t27b9dz4J/pRcQEBAQEBAQ+AIoqG9Je3h4MHDgQGrXrk3dunVZu3YtaWlpDB6s8fQPGDCAIkWKaOMgly9fzty5czlw4ABubm7aWEcLCwssLP4ez7xgMAoICAgICAgIAAX1oZfevXsTExPD3LlziYyMpHr16pw+fVqbCBMSEoKRUc6k8KZNm8jMzKRHjx467cybN4/58+f/LToKBqOAgICAgICAAAXnYQQYN24c48aN03vs8uXLOvtBQUF/v0JvIcQwCggICAgICAgI5IvgYRQQEBAQEBAQ4PNlSf8XEQxGAQEBAQEBAQH4AhZ7+3IRpqQFBAQEBAQEBATyRTAY/x/h5ubG2rVrC1oNAQEBAQGBLxI1os+y/RcRpqQFvig6f9eLxn1aIbUyJ8DTlwOztxETZPhbmqXrVqDNiK8oVqUENs52bB7xPx6dvacjY+lgzdff96NCk6rIrMzxu/uMw/N26G3XpH57TJp2RWRhgyoyCMUf21G9eqm3b+OaLTDrqZvRps7KJG1uH73yEvcRmNRrh+LPHWTdOPmuocjDtx7f0r5ve8ytzPHx9OGnmT8RHhRuUL7jtx3p1L8TzkU1yzIEvwjm4LqDeF72fGdfh275svvqE+JS5ZR1sWP6V3Wp4uqoV3boltPcD4zKU964XBE2DMr7XdNFx25x9O4LpnSqw7eNKxrW4aYPu694E5cip2whO6Z3bUCVYgZ02HyS+wF5f8/G5YuyYUg7AOYcvsqJ+346xxuWLcLGYe11yupO7k6lPi2QWMuIuPeCyzN3khSU9/xyU2Vga2qM7ITM0ZrYZyFcnbuHaK8A7fFKfVtQ1r0hjpXdMLWUsqXSCDKT03XasCnhQsPZfTC2Kw6IUCszUaXHo87KyLfvN3h6ebPzwFF8fF8SExfPuqVzaNW04XvV/RgkHd0xc/8GI1s7lEH+pG1Zh9LP9531TJu0xGLKPDJvXyN16ewP6rPsoNZUGN0JqaM1CT4heM7eQ1yucX6bYp3rUnVaDyyKOpASGMXDxYcIv/hIr2zdZYMpM6AVnnP38nzbGW1/FUd3wszRmiSfEB7N2k3CQ3+D/RXpUo+K03oic3UgNTCSJ4sOEXXBS3u8W+QBvfW8FxzAb+OfOmVGpsY0/2sBNpXdqFanLY8ePdU5Pn/eFIYO6YuNjRU3b3oydvwMXr4MNKgbQOHCLixdMpP27Voik5nx0j+IYcM8uP/gMcbGxixcMI327VtSskRxkpKSuXDxOjNnLSEiIu/17zq4LW5jumDqZE2qTwjPZu4k2cDYmJcrSulpPbGqWhJpMUd85+wmZMspHZkSE7ri1LEu5mUKo8rIJPHeC14sPEC6f0S+5/S5URXUujr/AgQPo8AXQ9tRXWkxuAMHZm1lhftMFHIFE/bMwlhiYrCORCYh7FkQh+ZuNygzastUHFyd2Dz8fyzpNI34sBgm7puDqVT3s03GVRpi2mkQmRd+IX3DVFQRwUiHzEFkbmWwbXVGGmmLh2q39BWj9MqJK9bFyLUsqqS4d4yCfnqM7sFXg79iw4wNfPfVd2SkZ7Bw30JM8hmb2MhYdi7byYROE5jYeSKPbj5izrY5FCtbLN++zjwOZNXJe4xsVY2D47pQtpAtY3acJz5V/ycMV3/bgvMze2m3o5O+Qmwkok0VtzyyF58G8zg0Bkcraf46eAWw6sQdRrauwcGJXSlbyI4x208b1mFAa87P6aPdjnp00+hQtYSOXKNyRXXklvVtoXO85ujOVBvclsszd3Ckyzyy5Aq+2jcdcT7jXLpLPRrP6ce9tcc43HE2cT4hfLV3OlL7nOvGWGpK8OXHeG74w2A7nXdNxkgsJjspguzEV6izFYitXEAkznes3iCXZ1CudElmTR7zXvKfgmnjFsiGjEV+eDdJHsPJDvTHcv5KRNY2+dYzcnJBNmg0WU/1G235UfyretSc1w/v1cf4q91sEnxCaHFgOhJ7/fenQ+0yNNo4Fv+DV/ir7WxCT9+n6Y7vsC5XNI9s0fa1sa9VmvSI+Dz9+a76jYttZ5H0NIRGB79H4qC/P7vaZaizaRxBBy9zsc1MIk7dp8FOD6zK5/R3sspone3+pJ9Rq1SE/Xk3T3uV5/QlIypRb19Tp4xh3NghjBn3PQ0bdyEtPZ2//tyf76fobGysuXr5OFlZ2XTu8i1VqrVg2rQFJCQmASCTSalRvQqLl6yjTr329Ow1nHJlS3Lst5152nLu2oByP/THf9VRbreZQcrTYGodmoGpgbERS02RB0fjt/gAiqgEvTK2DSoQuvMsdzrOwbPnYkTGYmodnolY9vd8f1ngwxEMxn8ZzZs3167VZG1tjYODA3PmzEGt/vDXopCQELp27YqFhQVWVlb06tVL51uWjx49okWLFlhaWmJlZUWtWrXw9NR4p4KDg+nSpQu2traYm5tTqVIl/vrrr086t5ZDOnJq/W88PudJmG8Iuzw2YO1sS/W2dQzWeXrZiz9WHebRmXt6jzuVKETJmmU5OHsbwY/9iQqI4OCsbZiamVLnq0Y6siZNupB17zzZ9y+hjn6F4vjPqDMVGNduZVhpNahTE3NtSXlERFZ2SL4ahuLwOlAp328w3sJ9qDuH1h/i9rnbBPkGseq7Vdg72dOgreHPRt09fxfPS56EB4UTFhjGnv/tISM9g/I1yufb195rPnSrUwb32mUo5WzDbPcGmJmKOe6p39NqLZPgYCnVbrf9IjAzMaZtleI6clFJaSz74y5LejfB2Cj/R8/ea0/oVq8c7nXKUsrZltndGmFmYszxey/y0UGm3W77hWl0eMtgNDE20pGzeuufUbWh7fFc/zuBZx8Q5xvK+UmbMXe2oWS7WgZ1rT68A08PXuLZL1dJ8Avn0oydZGcoqNC7mVbm0fYzPNh4gqgH+sfQzNYCm5KFuL/xBCgzQZWNKj0ekcgIkbFpvmP1hiYN6jBhxEBaN2v0buFPxKxrLxRn/yTzwilUocGkb1oFigwkrTsarmRkhLnHbNIP7kQVadgzbojyIzrw8sAlAg5fJdkvnLvTd6KUKyjVp5l++WHtiLj0mGebTpL8MpzH/ztKgncQ5Qa30ZGTuthSZ9EAbo7diCo75/5801/woSukvAjj4bTtKOUKin+jv7/Sw9sTdekRfhv/JMUvHJ8VR0j0DqTk4LZaGUVMks5WqF0tYm74kB4SrdOWc8tqODWrgvcP+/X2NWH8MJYsXceJE2fx9n7GoMETKVzYma5d2xkcv2lTx/DqVTjDhntwz9OLoKBQzp2/SkBAMADJySm079iHo0dP8OKFP3fuPmDCxNnUrlUNV9fCOm25jerEq30XCT90hbQXYfhM3YZSnknhPs319p3sFcCLBfuJPH4LlSJbr8yDPssIP3yFtOevSPUJ4cnETUhdHbF66x7+u1Eh+izbfxHBYPwXsnv3boyNjbl79y7r1q1j9erVbNu27YPaUKlUdO3alfj4eK5cucK5c+cICAigd+/eWpl+/fpRtGhR7t27x/379/n+++8xMdF4WsaOHYtCoeDq1at4e3uzfPnyT/ockYOrE9ZOtvjeeKwty0iRE+j1khI1y350u8ammqiLLEWWtkytVpOVmUWpOrkMJ7ExRoVLoXyZ0z9qNUr/x4iL5dO/qRmyaZuRTf8Zs/7TMXJy1T0uEiHpNYGsq7+jig79qHNwKeaCnZMdXte9tGXpKek893pOhVoV3qsNIyMjmnZpipnUjGcPnhmUy8pW8iw8jnqlC+eqK6JeqcI8Dol5r76Oe/rRrqobUtMcr5xKpWb2L9cZ2LQSpZ1t862fla3kWVhsXh3KFOZxcHQ+NXPpcO8F7aqV1NEBwNM/khY/7KfriqMs/u0GiWk5070imTXmzjaEXnuiLctMkRPl5Y9LzTJ6+zEyEeNUpQSh13NNF6rVvLr2FJdapd9LV4CMhFQSXoZTvntjeP3PxsjMCrUqG3W24r3b+UcwNkZcqixZj+7nlKnVZD26j3G5SgarSXsPRJ2USOb5D3+xNDIRY1e1BJHXdMc58tpTHAyMs0Ot0kTk+i0Bwq881pUXiWj44yh8Np0k6UXYO/uLvvYEu9r6rwW7WmWIvqrbX9TlxwblJQ5WuLSuTtCBy3nKa64chuf4jSjleX/7EiWKUaiQMxcuXteWJSencPfuQ+rXM/xi07lzW+7ff8yhgz8T/uoR9+6eYeiQvgblAaytrVCpVCQmJmvLRCZiLKuWIO6ad46gWk38VW9san/8s/ptjC1lAGQlpn62Nt8HIYbRMEIM478QV1dX1qxZg0gkoly5cnh7e7NmzRqGDx/+3m1cuHABb29vAgMDcXXVGDl79uyhUqVK3Lt3jzp16hASEsLUqVMpX15jWJUpk/PgCwkJoXv37lSpUgWAkiVLftI5WTnaAJAco+uhS4lJ0h77GCL9w4l7FYP7tL4cmLkFhTyDVkM7Y1fYAWunnHZFMktEYjHq1ESd+uqUJIwci+htWxUbhuLXn1BFBoOZDNMmXZGOXkz6mkmokzVTWyZN3UGlJOvmh8csvsHWUWNgJcTqTuUkxiZqjxnCrZwbq46vwlRiijxNzsIRCwn1M2y4JqQrUKrU2FuY6ZTbW5oRFJPXe/o23qExvIxKZF533di5nVefIDYS0bfhuw3chLQMjQ6WutPW9hZSgqLfQ4eQGF5GJjCvRxOd8kblitCqcnGK2FkSGpfMhtP3GbvjDHvGdkFsZIRIYg5AemyyTr30mGRkTtZ6+5LaWWJkLEb+1tikxyZhU7rQO3XNzfE+y+i0fRLG9m6aApWS7KRIUH9ZC32IrKwRiY1RJ+pej6rEBEyK6g93MK5QBUnrjiRNGvZRfUpej3PGW+OcEZuElYFxNnO0IeOt3zIjJhmzXPd9pbGdUStVPN9+5r36U8QkYVla19um7c/JBoUe+dz95aZY76Zkp2YQ/pfu7EitH0cRsOcCiY8Ckbk65Knn4uwEQFSU7gtcVHQsLi5OevsCKFmiGCNH9mftuq0sW/4jtWtVZ+2aBWRmZbF375E88hKJhCVLZnLo8HFSUlLh9aPG1M4KI2MxmXrO1byM/mflByMSUX7RQBLu+JLq++rztCnwyQgG47+Q+vXrIxLlvME0aNCAVatWoVQqEYvfL97p2bNnuLq6ao1FgIoVK2JjY8OzZ8+oU6cOHh4eDBs2jL1799K6dWt69uxJqVKlAJgwYQKjR4/m7NmztG7dmu7du1O1alWD/SkUChSKnLdlY2Nj1jzdzRtvysYhSz9kCN4bVbaSLaNW8u2K0ax6vBNlthLfG948ufRAZww/qu2QF6hCcqZIM4KfI/NYh0m9tmSeO4RR4ZKYNOqEfP3UD2q3uXtzxi8dr92fN2jeR+v4KuAV49qPw9zKnMYdGzN59WSm9ZqWr9H4KRz3fEkZF1udBBmfsDgO3PDh4Pgunzzm76XDvecaHd5KkGlfvZT27zKF7KjVqAWWdTpiZmKMkZGIzNu//u265UezxQNJj01GmRSOWq3GyMwSYysXshPDQP1xoQxfBFIp5t/NIu2nlahT3m3w/1PYVXGj3LB2nGr3YYk3nwu3b5oT+tsNVLlmP0oNbYexuZTnP/6uI3vtyu+oVJoXh6+6Dvio/oyMjLh//zGz5ywDwMvrKZUqlWPk8P55DEZjY2MOHdyMSCRi7LgZH9Xfp1Bh2RAsyrly96uPf/Z9LF/W69mXhWAwChhk/vz59O3bl5MnT3Lq1CnmzZvHoUOH+Prrrxk2bBjt2rXj5MmTnD17lqVLl7Jq1SrGjx+vt62lS5fyww8/aPctLCxoVboxVa0000PGr6cOrRytSY5J1MpZOlrzyifok84j5EkgSzpOw8xSirGJManxKUw7vpiQxwG8ibJTp6egVioRWdjo1BVZWqNOSXy7Sf2olKjCAxHZazwe4hIVEJlbI5v+c057YjGmHQdi0qgz6StG623mzrk7PH/4XLv/JrHF1sGWhOgcr46Ngw0BPoYzRAGys7KJCNZkGb70fkmZamXoOqQrG2Zs0CtvK5MgNhIRl6qbmRuXkoGDZf6JKvLMLM48CmR0m+o65Q8Co4hPy6DD8qPaMqVKzeq/PNl/w4dT03vo6mBuptEhRTfBJS5V/p46BDC6bc185QCs08Lo37c33zapTPvqJcFI87Ilc7AiPTpRKydztCL2aYj+/uJTUGUrkTrqeiBlDtakv4dH9g1FG1XCrVUNtlYeyZBrmn/QqrQ4jExlGJlZoJJ/OYaWOjkJtTIbkY2ud9vIxhZVQnweebFLEcTOhbCYvSSnUKSJhrL97QJJY/q/M6ZR8Xqczd4aZzMH6zze3TdkxCRi9lYShpmjFRmvf1vHeuUwc7DC/d66nHMwFlNzXj/KD2+v7S8tV32Jo7W2fp7+ohORvKWfIXn7euWwLFOYuyN/1Cl3bFwJ+9plcA/Zo1NuamrCiT/P8v2MxUgkmphWZ2dHIiNzQjScnRzweiuTOjcREdH4PNONAfb1fUm3r3XjTt8Yi8WKFaVN214a72IuMuOTUWUrMdVzrgoDY/MhlF8yGMc2NbnnPh9FRN7r6e/mvzqd/DkQDMZ/IXfu3NHZv337NmXKlHlv7yJAhQoVCA0NJTQ0VOtl9PHxITExkYoVc5Y6KVu2LGXLluW7776jT58+7Ny5k6+//hrQTI2PGjWKUaNGMWPGDLZu3WrQYJwxYwYeHh46ZVOqDCYmISfJJik6gXINq/DKRxOEbWYhpUT10lzbd/a9zys/Ml4bII5uLhSvUooTqw5T600CozIbVbg/4lJVUPq8zlgUiRCXqkrWrVP6G3wbkRFGzsXJfvEAgKyHV3RjIgGzwXPIfniVrPsXDTYjT5MjT9M1luKj46nWqJrWQJRaSClXvRwn937YVLeRyAgTU8MZvybGYioUtueufwQtK2mmF1UqNXf9I/imQf7JMme9g8lUKulUXTc8oXONktR/a9pw9M5zdK5Riq564s9MjMVUKOLA3ZcRtKzslqPDy3C+aWh4GR6As48DycxW0anGu+MHo2ITePLcD0m94qjTEgFIi0qkaONKxPpoDEQTCynO1UvxZO8FvW2ospREewfi2qgSgWdex/SJRBRtXInHu869U4c3GEtfJ7ao3vJvqNXwpf0Dy85G6f8Ck6q1yLrzOo5OJMKkak0y/jqWR1z5KoSk8YN0yqT9hiKSykjfth5V7LvjUlVZSuIfB+LSuBKvTueMs0vjSjw3MM6x91/i0qSSdokcgEJNKxN7X5N4FPjrDd0YRaDlgWkE/noD/8NXabhuJC6NKxH3ZspYJMKpcSX8d+h/HsXf98OpSWX8t57Wljk1rUK8p18eWbe+zUl4FECSj+6LyKPZu/FZ/ot238zZlsaHZ9Cn32ju3n1IWJjm5S8iIoqWLRprl9qxtLSgbt0abN6ia2jm5uate5QrW0qnrGyZkoSE5MRuvjEWS5cuQes2PYmPz5vRrM5SkvI4EPsmlYk55akdG7smlQnZcSaP/IdQfslgnDrWwfPrBcjfM2b6cyN4GA0jGIz/QkJCQvDw8GDkyJE8ePCA9evXs2rVqg9qo3Xr1lSpUoV+/fqxdu1asrOzGTNmDM2aNaN27drI5XKmTp1Kjx49KFGiBK9eveLevXt0794dgEmTJtGhQwfKli1LQkICly5dokIFw/FpEokkz5IP4reWC7m44y86ju9GTFAEsaHRdJn8DUlRCXjlWldx4v45eJ25y5U9mgeTRCbB0c1Fe9ze1YmiFYuTlphKQrhmCZuaHeuTEp9MQlgshcsXo9e8QTw6e49n1x5DriUTs66dQNJzPKowf5Shfpg26ozIVEL2a+NO0nM86uR4Ms9oMhdNWvZEFfoCVWwkIqkMk6buiGwdyLp3XtNgeiqq9LcCtlVK1KkJqGM/LEv0+PbjfDPhG8KDwokKiaL/lP7ERcdx6+wtrcySg0u4efomf+7WrOc2aPogPC95Eh0ejcxcRnP35lRpUIU5/efk21f/JhWZc+Q6FYvYU9nVgf03niHPzNYad7N/uYaTlYwJ7XUD7I97+tGiYjFszHXjH23MzfKUGRsZYW8hxc1Rf2xg/yaVmfPLVSoWdaCyqyP7rz/R6PA6qH72oSs4WcuY0EE3g/743Re0qJRXh3RFFpvPPaR1FTfsLaW8ikth7V93cbW3omGuZVYebT9N7fHuJAZGkRIaTb0pPUiLSiTgTE6CR9eDMwg47Yn3bo2h4rX1FK1XjyT6cSBRXv5UG9oeY6mEZ79c0daROVojc7TG2k2zJqZ9eVeyUuWkhMehSEwj8r4fiqQ0Wq8ZCWJTeD0ljdgEVabueo2GSE+XE/Iq57oKC4/C94U/1laWFMontu1jyPj9F8wnziD7pS/Zfr6YdekBZlIU5zUvV+aTZqKKi0G+dytkZaIM0V0fUJ2muS/eLs8P3y2naLB2JHGPAol76E/54e0RyyQEHNKMc4N1I5FHJuC1VGNw+W47Q5tfZ1F+ZAfCL3hRvGsD7KqW5M7UHQBkJqSSmaB7f6qylcijE0nxj9D2l+LlT8JDf0oP74BYZkbw6/5qrR9NRkQ8T5ccBuDl1tM0PTaH0qM6EnneC1f3BthWK8nDqboJicYWUop0qYf3/LwZ0PKwOHK/Kma/TsoKCAjWGosAP67fxswZE/B7GUBQUCg/zJ9KeHgUv/+eY7CdPX2Y47+fYuOmXQCsW7eVa1d/5/vp4zly9AR16lRn2LB+jBozTaOXsTG/HN5CjepV6Pr1QMRiMc7OmrCO+PhEHT2DNp+k8o+jSfYKIOnhS4qN6IhYJiH89dhUXj+GjMh4Xi4+BGgSZSzKau4zkakYMxc7LCsVJzstA/nrNU4rLBuCS7dGeA1cSXaqXOvBzE5JR5WRhUDBIxiM/0IGDBiAXC6nbt26iMViJk6cyIgRIz6oDZFIxO+//8748eNp2rQpRkZGtG/fnvXr1wMgFouJi4tjwIABREVF4eDgQLdu3bTTykqlkrFjx/Lq1SusrKxo3749a9as+aTzOrv5d0ylEvouHYnMSob/PV/WD1xCdq4YH8fizljY5UwzFataCo9D87X7PecMBODW0cvsmbIRAGsnW7rPHoCVgw1J0Qnc+e0qf63PmR59Q7b3TUQW1pi2/gaRpQ2qiEDkOxdpl8oxsnFAlWv5IpHUHMnXoxFZ2qCWp6IKC0C+aRbq6M8fpH1001HMpGaMXzoeCysLnno+ZW7/uTrZ34WKFcLaLscAs7a3ZvKaydg52ZGWkkagbyBz+s/h4bWH+fbVrmoJElIz2HTei9gUOeUK2bFxcGttEkpEYlqeWMSgmCQeBkWzaUgbfU1+MO2qlyQhLYNNZ+9rdChsz8ah7XLpkJpXh+hEHgZFsemthbhBk2XtFxnPift+pGRk4mglo0GZIoxtVwtT45wXlweb/sRYJqHFsiFIrDQLd5/ovwJlrnG2Lu6E1M5Su//yxB2kdlbUndwdc0drYnyCOdF/BfJcCReVv21FXY9u2v3uv2qM9vMeP+N75BoZCamc6L+C+tN6YmxdiDcLdyuTIzXL7LwHT3z9GDJ+unZ/xfotAHTt0JrFsye/VxvvS+b1S4isbJD2HaJZuDvwJSk/TEWdpPFIGTk45fWWfiLBf9xBYm9FtandMXO0JuFpMJf6rdAmtpgXcUCda9XlWE8/bozdSLXpPan+fS9SAiO5OmQNSc/f7/5801+laT2QONqQ9DSYG32WoXjdn6yIvc45xnv6cW/MT1Sc3pNKM3qTGhjJrcGrSX4raaOoewNAROixmx89Fv9buRFzcxmbN67AxsaKGzfu0anLtzpx4iVLFsfBwU6773n/ET16DmPRou+ZPWsSgUGheEyex8GDGq9wkSIufNVFsyzPA09dr22r1j0gV1J01O+3MLW3otS0nkicbEh5GsyDPsu0iTBmb/0WEhc7Glxcrt13G9sFt7FdiL/hg2e3BYBmIXCAOsd14xafTNhE+OEr/FMIHkbDiNQfs4CfQIHRvHlzqlev/p/4xN9ot14FrQL/61PwyQS99utfjPqf5Ne1jQtaBRAX/Pvr9nGP3y30NzPy4YKCVgGAlKGDC1oFTt1zfbfQ34z0Mxu+H0Ov+H/OYDLEX7ZN3i30N9M26tDf3sdJZ/1f6vpQOkUd/CztfEkI6zAKCAgICAgICAjkS8G/0gt8Fq5du0aHDh0MHk9N/WcXPxUQEBAQEPi3ofrCcsy+JASD8V/G5cuX9ZbXrl0bLy+vf1QXAQEBAQGB/xL/1c/6fQ4Eg/E/glQqpXTp9/8UmYCAgICAgIDA+yIYjAICAgICAgICgJAFbBjBYBQQEBAQEBAQQFhWJz+ELGkBAQEBAQEBAYF8ETyMAgICAgICAgKASiQkvRhCMBgFBAQEBAQEBBBiGPNDMBgFBAQEBAQEBBBiGPNDMBgFCozyKtOCVoHUG5//u88fyr2kiIJWgeyLBa0BqBXZBa0CK9IK/rfo+wV8kg/AcvvOglaBNr0LfixUWQU/RSnxNCloFdhqVvCfMG1b0Ar8P0cwGAUEBAQEBAQEEL70kh+CwSggICAgICAggPCll/wQltUREBAQEBAQEBDIF8HDKCAgICAgICCAkCWdH4LBKCAgICAgICCAEMOYH8KUtICAgICAgICAQL4IHkYBAQEBAQEBAYR1GPND8DAKCAgICAgICKCJYfwc28fw008/4ebmhpmZGfXq1ePu3bv5yh85coTy5ctjZmZGlSpV+Ouvvz6y5/dD8DAKFCj1PbpTuW8LJFYywj1fcGnmThKDovKtU3VAa2qN7ITM0ZrYZyFcnruHqEcB2uMtlw7BtXElLJxtyUzLIOK+HzeWHiLBX7Mos5mNBe1+HINDBVfMbc1RJSaScf0GqVu2Im3XFvNvvsHIzo4s/5ekrPuRrGe+evWQNG2CxbffIi5SBIzFKF+FkXb4MBlnz+mVt5rsgazrVySv30D6kaPvHJvpMyfQf2BPrKytuHvnAdO+m09AQLBB+anfj2PajPE6ZX4vAmhYp4N2f+XaH2javCEuLk6kpaVz785DFsxb+U5dAEyadsa0VXdEVraowgLJOLIJVfALvbLG9Voj7e+hU6bOyiT1O/f36gvApHkXJO16IrK2QxUagPzgT6iCnr+znnGd5shGzCTr4U3kG+dry622ntUrn3FkK5lnj+TbpseMsfTt3x0ra0s873gxc8pCggJC3us8xkwcyvfzJrF9815+mLlCW17crSizFkyhTv0amEpMuXLhBnOnL+V9/t1IOrpj5v4NRrZ2KIP8SduyDqWf/us0N6ZNWmIxZR6Zt6+RunT2e+n/IXh6ebPzwFF8fF8SExfPuqVzaNW04WdrX9rVHVkvzf2Z7e9Pyvp1ZD83cH82boKsr+b+FImNyQ57hfzIL2Scz7kOnC5c0Vs39edNpP9ySO8x2dfuX8QzYvac7xg8uA/W1lbcvuXJxImz8fcPMig/c9YkZs2apFP2/Lk/NWu00u47OzuyePEMWrZqgoWFOX5+AaxYvoHffz+tt83eHn1p1acN5lbm+Hr6snXWJiKDDC9+7z6mO/XaN6BIqaJkZih4ft+X/cv2EB4QpiNXtmY5+kz9ltLVy6JSqgjyCWRx//n5jse/ncOHD+Ph4cHmzZupV68ea9eupV27djx//hwnJ6c88jdv3qRPnz4sXbqUzp07c+DAAdzd3Xnw4AGVK1f+W3QUPIwCBUat0Z2pPrgtF2fs4PBX88hKV+C+bzpiieGvGpTpUo8mc/pxZ+0xDnaaTcyzENz3TUdqb6WVifYO5NzkLexpOY3j/VcgEon4et90REaaaGa1WkXA2fucGLqamH79SVqyDEmtWtiuWI7l2DGk7tpF7LDhZL/0x3bl/zCysdGrizo5hdS9e4kbM4a4wUORnzqF9fffY1qnTh5ZSZPGmFSsiDIm5r3GZvyk4Qwf2Z8p382nfatepKfJOXxsOxJJ/l/HeebzgkplGmm3zu366hx/5PWUiWNm0KhuR3p3G4pIJOLIse0gyv9RYFyzKZKvh6M4dYD05eNRhgUgG7sQkYW1wTpqeRqpM/ppt7S5g97r3AGMazfDrNdIFCf2kbZwDMpXAZhPWoLI0ibfeiJ7Z8x6Dif7hXeeYymTe+ts8p0rUatUZD24lm+boycMYfCIvsyYvJCv2vQjPV3OvqM/v/O3AKhaoxJ9B/XA54muoSuVSdn36xbUajXfdB1Gt/YDMDExYceB9SDKP+retHELZEPGIj+8mySP4WQH+mM5fyUia5t86xk5uSAbNJqsp4/eqffHIpdnUK50SWZNHvPZ25Y0b4HFqLGk7dlN/KjhZPv7Y7N8JSID96cqJYW0/ftIGD+W+OFDyDhzCstp0zGtnXN/xvb4WmdLXrEMtUpFxjX9hqRZyxZfxDPCw2MUo0cPZsKEWTRv5k5aupzf/9iDRCLJt57P0+eULFFHu7Vp3UPn+NatqyhTtiQ9ew6jbp12/P77afbu+4lq1SrlaavrqG50GNSJLTM3MaPrVBTpGczeOx+TfJ7flepV5syev5jpPpWF387D2MSY2XvnI5Hm6F22Zjlm7Z7Ho6tezPhqCjO+msLp3SdRqf+ZyWKV6PNsH8rq1asZPnw4gwcPpmLFimzevBmZTMaOHTv0yq9bt4727dszdepUKlSowMKFC6lZsyYbNmz4xBEwjGAwCrw3SqUSlerz3bQ1hrbn7vrfCTj3gFjfUM5+txlzJxtKta1lsE7NYR14evASPkeuEu8XzsUZO8mWK6jUu5lW5smBS4TffU7Kq1hingRx639HsCzigJWrIwCKpHS8910g+nEgqqgoMh88IP34cUwqlCf9z5PIT51GGRxM8qrVqDMykHbqqFeXTC8vFNeuowwOQRkeTvrRX8kO8Me0ahUdOSMHB6wmTiRp4SLIVr7X2IwcPYDVKzdx+q8L+Dx9zthR03BxcaJD59b51lNmK4mOjtVu8fEJOsf37vqFWzc9CQ0J4/EjH5YuWktR18KI7PO+webGtOXXZN08Tfbtc6giQ1Ec2oA6U4FJg3w+1qVWo05JyLUlvte5A0jadCfr2imybp5FFRFCxr51mv4atTNcSWSEdNj3KP7Yiyo2r5dDnZygsxlXb4jy+SPUsZH56jJ01LesX7WFc6cu4evzgu9Gz8TJxZG2nVrmW09mLuXHn5fx/aQfSEpM1jlWu151ihYrzORxs3n+zI/nz/zwGDOLqjUqYVy1Zr7tmnXtheLsn2ReOIUqNJj0TatAkYGktf7rFAAjI8w9ZpN+cCeqyPB82/8UmjSow4QRA2ndrNFnb1vWoxfyv/4k48wplMHBpKxdhVqRgbS9/vPOeuRF5o1rKEOCUUaEI//tV7IDAjCpnHN/qhLidTZJo0ZkeT1EFaHfSybr1fOLeEaMHTeEFcvXc/LPczx54svwYR4UKuRMly75fzwvW6kkKipGu8XF6T4f6tWvxeZNu7nv+YigoFBWLN9AYmIy1Wvk9Vh1GtqFXzccwfPcXUJ8g9ngsRZbJzvqtK1vsP/FA3/g8tGLvPILJfhZED9NXodjUSdKVimllRk4Zyh/7fqT45t+5ZVfKOEBYdw6eYPszH/m06Gqz7R9CJmZmdy/f5/WrXOe70ZGRrRu3Zpbt27prXPr1i0deYB27doZlP8cCAbjv5zmzZszbtw4xo0bh7W1NQ4ODsyZMwe1+t3TWgqFgilTplCkSBHMzc2pV68ely9f1h7ftWsXNjY2/PHHH1SsWBGJREJISAj37t2jTZs2ODg4YG1tTbNmzXjw4MEH627uZEPI9Sfa/cwUOZFe/rjUKqNX3shEjFOVEoRcf5pTqFYTcv0pLjVL661jLJVQsVdTkkKiSQmP09+uvT1mzZqBWEym532dtjPv38ekUsX3Oh/TmjURu7qS+SiXB0ckwnr2TNIOHSI7KOi92inuVhRnFyeuXr6pLUtJTuWB5yPq1KmRb90SpYrj7XuNe4/Os2nrSooULWRQViaT0qdfN4KCQlEnxBpuVGyMkWtplM+9csrUapTPvTAqUd5wPYkU8wW7MF+4G7MRczByKZav7jr9FS9D9rOHOv1lP3uIuFQFw9116Yc6JZGs6/qnz3IjsrTBuEpdMt8hW6x4UZxcHLl++ba2LCUlFa/73tSqUy3fuotWzOLiuWtcv3I7zzGJqSlqtZpMRaa2TKFQoFKpMKlQJY+8FmNjxKXKkvVI9zrNenQf43J5vUBvkPYeiDopkczzf2+M09+GsTHGZcuS+eCt+/PBfUwqGj7v3JjUqIlxUVcyvR/rPS6ytcW0XgPkpwyMkbExJmXLFfgzws3NFRcXJy5duqEtS05O4d49L+rVy/9lo1QpN1763+HJ06vs2LGWokUL6xy/c/s+3Xt0xtbWGpFIRI8eXTAzk3Dtqu417OTqjK2THd7Xc84jPSWdl14vKFez3DvP4Q0ySxkAqYmpAFjZW1O2ZjmS4pJY9Ntytnru5ofDiylf2/B9/7n5XAajQqEgOTlZZ1MoFHr7jI2NRalU4uzsrFPu7OxMZKT+F9rIyMgPkv8cCAbjf4Ddu3djbGzM3bt3WbduHatXr2bbtm3vrDdu3Dhu3brFoUOHePz4MT179qR9+/b4+flpZdLT01m+fDnbtm3j6dOnODk5kZKSwsCBA7l+/Tq3b9+mTJkydOzYkZSUlA/WPT02Oc++uaP+aU6pnSVGxmLSY5PeqpOUp07V/q0Z/WwbY59vp3jzahzrtwxVlu6be/v1Y3E+exqnY7+iyspEZGSEKiFeR0YZn4CRnZ1B/UXm5jidPoXzxfPYLl9Gyrofdf6hmPftA0ol6Ud/NTwIb+HkpPGExkTrGrgxMXE4OTsYrPfA8zETxsygd/dhTPOYT7HiRThxaj/mFuY6coOH9SUo7AHBEV60atOUnu6DQWn47V1kYYVILEaVouuNUCcnYmSlf2xU0a/I2L8G+c8LyNj9P0QiI2STVyGysc/v1HX6Uye/3V+Cwf7EpSth0rg9GXvWvLN9AJOGbUCRTvaD6/nKOTpr9I2N0f0tYmPicHQy/Ft06daeytUqsnzBWr3HH3g+Jj1dzoz532EmNUMqkzJrwRSMjY0R2RoeI5GVNSKxMepE3bFRJSZgZKt/bIwrVEHSuiNpG/5nsN0vHSNrzXmrEt4674R3358Of57C8cwFbJYsI2XDj2Td99QrK23bHnV6OoprVw3rYCwu8GeEs7Pm+RAdrTt1HR0dg9PrY/rwvOfFyBFTcO86kEkTZ1PczZVz53/BItfzoX//cZgYm/Aq7BEJiS/4cf1i+nwzMk/stI2TLQCJsYk65Ymxidg42r7XeYhEIgbNG4bvPR9CX2jigZ2LaQygXpO+4fzBsyweOJ+AJwHMPbAQFzfDL79fIkuXLsXa2lpnW7p0aUGr9UkISS//AVxdXVmzZg0ikYhy5crh7e3NmjVrGD58uME6ISEh7Ny5k5CQEAoX1rxlTpkyhdOnT7Nz506WLFkCQFZWFhs3bqRatRxvSsuWulNxW7ZswcbGhitXrtC5c2e9/WVlZWFsnHO5paenY25urlf2c+B7/AYh17yROdlQa2QnOmwcz5FuC1AqsrQyVxfsw+7IJoxdi2IxetRH9aNOTydu6DBEUimmtWpiOXYsyvAIMr28MC5bFlmPHsQNM/w7AHTv2YVVa3/Q7vftNfKjdLlwPucfnc/T59z3fMRD70u4f92B/XtzAuiP/vIHVy7ewNnFkTHjh7Jt11rYNQuys/S0+nGoAn1RBeYkAsgDnmE+52dMGnUk8+Tez9YPABIp0qHTydizFnVq8rvlAZNG7cm6czHPObv36MTS1XO1+4O+GfvB6hQq4sz8Jd/Tr9sIFLk8iLmJj0tg9ODJLFk5h8Ej+qFSqfjj11N4e/lQ5j1mB94bqRTz72aR9tNK1ClJ75b/j6FOTydhhOb+NKlZE4vRY1BGhJP1yCuPrFn7DmRcOA9Z+n+zT9HhU54RZm1aE/XXd9r97t2GfJQeZ89e1v795Ikv9+558cz3Ot26d2LP7l8AmDPXA2sbKzp17EtcXAKdu7Rlz96fWLVqI7O+n6itv3Twwo/SITfDFo7EtWwx5vSYoS0TGWl8WOf2n+HykQsABD3dTpVGVWnZK/9wnM+F+jMt3D1jxgw8PHQT/wzFmDo4OCAWi4mK0k34jIqKwsXFRW8dFxeXD5L/HAgG43+A+vXrI8oVKN+gQQNWrVqFUqlELBbrrePt7Y1SqaRs2bI65QqFAnv7HA+HqakpVatW1ZGJiopi9uzZXL58mejoaJRKJenp6YSEGM4a/d///qcTvCuRSHj69CkyByvSoxO15TIHK2J89Lcjj09Bla1E5qDrTZQ5WJMWo/vPMDNFTmaKnMSgKCIfvmSU98+UalebF3/kxHekxyShNH+FMiQEVVo69j+uRVysGFlPfbQyYjtbVPG6HgUd1GqUYZoMv+yXLzEuXhzzb/uS6eWFabWqGNna4HjkF624yFiM5ZjRmPfoQUzvbwA4feoiD+7nTO2YmmqSKRyd7ImKyvEiODra88T73Zmwb0hOSsHfP4gSJXWnglOSU0lJTiUgIBjPe4/wC76LUbWGZN/XH+ivTk1GrVRiZGmrE5sjsrJBlZzP2ORGpUQZ6o+R47u9BG/6E1npeipEVrZ6+zNyKoSRgwvScQtyCWvuB8vNp0idMwR1TE5MmrhMZcSFXJFvWZynrXOnL/Hwfs6U5ZvEFgdHe6KjcqbtHRzt8Xmi/7eoUq0Sjk72/HX5sLbM2NiYeg1rMXBYH0q71EKlUnHt0i2a1OqIrZ0NymwlyckpeD67hMpL/+8AoE5OQq3MRmSjOzZGNrZ5PF8AYpciiJ0LYTF7Sa6x0fxTtv3tAklj+v+tMY2fC1WS5ryNbN86b9v3uD/DX9+f/i8xLlYcWZ9+JL1lMJpUqYpxseIkL/xBTyO5dMhW5vHk/t3PCMX1GzQ5nJNV/eaadHJyJDIy5/ng5OSI9+OcZ9e7SEpK5uXLQEqVdAOgRIlijB49iNq12vDsmWaWydv7GY0a1qF06RJM7TBJW9fYVJPYYuNgQ2J0jtfXxsGGIJ/Ad/Y9dMEIaraqw7xeM4iPzPHeJ0ZrxvHVy1Ad+bCXr3AoYth7+jn5XFH6EonknUlIbzA1NaVWrVpcuHABd3d3jR4qFRcuXGDcuHF66zRo0IALFy4wadIkbdm5c+do0KDBp6puEMFg/H9KamoqYrGY+/fv5zEqLSwstH9LpVIdYxRg4MCBxMXFsW7dOooXL45EIqFBgwZkZhp+M588eXKeCz81KgHXRpWIfW0gmlpIcaleCu+9F/S2ocpSEu0diGujSgScfT2lIxLh2qgSj3frX6ZCIyICkQixaT6X++sMPEn16mScOq1t27RmLdKPHTNcL29niEw0D3T5mbO68U6A7coVyM+eQ/7XKW1ZWmoagalpOnJRkdE0adZAayBaWJpTs3Y1du44+N6qmJvLcCvhypFDhrMuNUMjAmPDmY0os1GFvkRcrhrZj29pK4rLVifr6on3U0ZkhFFhN5Q++qcD8/QX7Idxhepke93U9mdcoTqZF//II66KCCV13gidMon7IERmUjIObUIdr3v+Jo3bowx6gepVAG+TlppOWmq6Tll0ZAyNmtXTZjpbWJpTvVYV9u48nKc+wI2rt2nd6GudslXrF+LvF8jGH3fkSRxLiE8EoGGTujg42pF89wYGyc5G6f8Ck6q1yLrzejpdJMKkak0y/sp7nSpfhZA0fpBOmbTfUERSGenb1qOKjTbc15dEdjbZL15gWqMWmTdyztu0Rk3kxz/k/jRCZJL3Wjfr0JGs575kB/jnq0PWi+eY1qqJ4nouHf7mZ4RaLs8zJRwZGU3z5g15/NpAtLS0oE6d6mzbuu+91TA3l1GiRHEORmp0l8mkAHmuT6VShVKpJDJYNzYuITqeyo2qag1EqYWU0tXLcmZf/nHBQxeMoG67+szrPYvoUN3rLzo0mvjIOAqXLKJTXqhkYR5e0h2n/xoeHh4MHDiQ2rVrU7duXdauXUtaWhqDBw8GYMCAARQpUkQ7rT1x4kSaNWvGqlWr6NSpE4cOHcLT05MtW7b8bToKBuN/gDt37ujsv4krNORdBKhRowZKpZLo6GiaNGnyQf3duHGDjRs30rGjJjMwNDSU2Nh8kibQ/7Z1/adD1J3gTmJQFMkh0TSY0oO06ET8z+Y8GLodnMHL055ag/DBtlO0XTWSaO9AIr38qTG0PSYyCT6/aLwyVsUcKdulPiFXvZHHpWBRyI7aY7qQnZFJ0CWNF8+tRTVkDtZEPQpAbJeNsZsblmNGkR0cglnLligePiTr2TPMe/ZAJDXTPritZ85AGRtL6patAJj360vW8+cow8LBA8GEpwAA1mNJREFU1ARJ/fpI27UleZUmjk6dnEx28ltTpNlKVPHxKEN136Df5udNe/CYOpoA/2BCgl/x/ayJREZGc+rP81qZX//YxV8nzrF9634A5i+axtlTlwgNDcfFxYlpM8ejVKr47eifgCaZxr1bRy5dvEFcbDyFC7sw4bsRZGRkYPr0Xr76ZF48hll/D5QhfqiCXmDSoisiiYSs25rfxaz/ZFRJcWT+sQsA0/Z9UAb5ooqJQCQ1x7R1d4zsnMi4+e6EFADFuV+RDpmKMsgPZaAvpq27ITI1I+vGGU1/Q6aiTohDcWwHZGehCg/Sqa+Wa4Lo3y7HTIZJraZkHPn5vfQA2L55HxMmjyTIP4SQ4DCmzBxHdGQMZ09e1MocPLaV0ycvsnvbQdJS03nx7KVOG+npchISEnXKe/Z15+WLAOJj46lZpzrzl05n26a99AjL/9rI+P0XzCfOIPulL9l+vph16QFmUhTnNdep+aSZqOJikO/dClmZKEN0PT7qNM3YvF3+OUhPlxPyKsdjGRYehe8Lf6ytLCnkkn8m/jvbPvoLVtNnkP3ClyxfX2TdeyAykyI/ozlvy+kzUcXGkLZdc3/K+vQj68VzlOFhiExMMa1XD7M2bUlZt1qnXZFMhlnT5qRs3vhuHX45gvWMGWQ9f16gz4ifNuxg2vTxvPQPIjgolDlzJxMREcWJEzlrTJ48uZ8/Tpzh5817AFiyZCZ//XWBkJAwChVyYvbs71AqlRw5onkJe/7cn5cvA/lx/RJmzlxCfFwCXbq0pWWrxvToPoS3/5uc3H6C7uN7ERkYQXRoFL0n9yUhOp57Z3MSZOYeWMDdM7c5vVuTSDRs0Ugaf9WUFcOXkJEmx8bRRjOuyenaBLDffz5G7+/6EPwsiKCnATTr0ZIipYqwatRyuo3r+c7f6FMpqC+99O7dm5iYGObOnUtkZCTVq1fn9OnT2sSWkJAQjIxy0k4aNmzIgQMHmD17NjNnzqRMmTIcP378b1uDEQSD8T9BSEgIHh4ejBw5kgcPHrB+/XpWrVqVb52yZcvSr18/BgwYwKpVq6hRowYxMTFcuHCBqlWr0qlTJ4N1y5Qpw969e6lduzbJyclMnToVqVT6wXrf3/QnJlIJrZYO0S7cfbz/Cp04Q+tiTkjtLLX7fifuILWzor5Hd83C3T7BHO+/Qps8o1RkUaROOWoMaY/E2pz02CTC7vjyy9cLkMdpZLIzMqnUpzlN5/bD1MwYZXQ0GVevkbb/ANK2bbAcMlizKO/LlyRMmaYNtBc7O0Ou+DKRVIqVx3eIHR1RKxRkh4SQtGgxGRcvffBYvM36tVuRyaSsXrcAK2sr7ty+T+9uw3Ri4tzcXLGzz5miK1zYhZ+3r8bWzoa42Hju3L5Ph9a9tEtnZGRkUr9BbUaMHoiNjRUx0XHcuulJxzZ9ONcg//y37AdXUVhYIenUH5GlLaqwANJ/mqtdKkdk54hRrnXSRDILzPpORGRpi1qegirkJemrJ6OKzN8Y0vbneYUMS2skXQdopqJDA0hfN0vbn5GdE6qPiPUzqdMcgKy77/8bbfpxB1JzKUvXzNMs3H37If17jtL5LYqVcMXO3uaDdClV2o3pcyZiY2vNq5Aw1q/eyraNe+jRxHACBUDm9UuIrGyQ9h2iWbg78CUpP0xFnaT5nY0cnOAzLn/1ITzx9WPI+Ona/RXrNd6Orh1as3j25E9qW3H5EqnWNpgP0px3tv9LEr+fivrN/enkpJ0pABCZmWE5Ief+VIaGkLx0EYrLur+9pEUrEIlQXNI/s5GbjIuXMLKxKfBnxOrVm5GZS9mwYSnW1lbcunkP964DdbJwS5Qsjr19zrVUuEghdu3+ETs7G2Jj47l505MWzb8mNlYzDZydnU23rwezYOH/sXfW4VEdXwN+N7LJxj1BAgESgluQ4k6C0+JQXItbcXdaXCsUh0KhFCgtDsELJJBgMeLE3XV3vz82bLJkN3jDr99989znyZ05M3Pu3Ll3zz1jczhxfDeGRoYEBYYydsxMLlxwp4u16qoAp384ib6BPuPWTMDAxBBfDx9WDV1GXpH3t20FO4zNC9fIdR2icDIs+221Sl47Zm7B/YTiA+zvPX8i1hMzbNEojMyMCPUJYcXgJcSEfbrZv0X5iCOI35lXK56oo+gKJq/o27cvfft+eiP6FSL526y/IvDZ0qZNG2rWrIlMJuPIkSNoa2vzzTffsHLlymJdya+Tl5fHypUrOXDgABEREVhZWfHFF1+wbNkyateuzb59+5g2bRrJyckq6R49esTYsWN5+vQp9vb2rF69mlmzZjFt2jSV8RRvYkuFr9/jij8u/R1elrYK1PbWvDPCv0XQkCpvFvrEyHP+nXXWSqLW76V/L7zeYDD+Wxj/sre0VSCp/4jSVgFZ3keaBfEBVPEIKW0VihmMpcHx0NOfvIxt9h/nd2ly+NsPD/hfQfAw/gfQ1dVl8+bN7Nq1653TLVu2jGXL1A/0Hj58OMOHDy8WXr9+fR48UO3C7NOnTzE5AQEBAQGB/yXeZ5eW/y8IBqOAgICAgICAAKU3hvF/AWHh7v8oN2/exMjISOMhICAgICAgIPC2CB7G/3HUDYQFaNiwIV5eXv+qLgICAgICAv/LCB5GzQgG438UiUSCo6P6/ZUFBAQEBAQEiiPMAtaMYDAKCAgICAgICCBMeikJYQyjgICAgICAgIBAiQgeRgEBAQEBAQEBhDGMJSEYjAICAgICAgICCGMYS0LokhYQEBAQEBAQECgRwcMoICAgICAgIADIBB+jRgSDUaDUGOEaW9oqkB1U+i+HTYaNSlsFrpwo/ZE7OW/Y+/zfoKmxQWmrwLkHn8fC+h0/g32czY+V/n7WuVvmlrYKjAizLW0VEFP6z+e/Qem/CT9fhC5pAQEBAQEBAQGBEhE8jAICAgICAgICCJNeSkIwGAUEBAQEBAQEELqkS0LokhYQEBAQEBAQECgRwcMoICAgICAgIICwNWBJCAajgICAgICAgADCsjolIRiMAgICAgICAgIIk15K4pONYWzTpg3Tpk37VNm/M++ij4ODA5s3b/6k+nwM/lf0FBAQEBAQEPjfRvAwfiL27dvHtGnTSE5OVgl3cHBg2rRpn5UxXRLDhw8nOTmZU6dOffKydNt0R8+1LyJTC2ThQWT9ugNZiN8b0+k0aoPB2PnkPbpD1s6lynCTny+qlc8+/jO5F4+rjZP07IVBvwFoWViQHxhI2rYt5Pv5qpXVa9ESg0Ffo12uHCJtHfIjXpJ1/DeyL6uWq12hIkZjxqFbpy4ibW3yQ0NJWbYIWaxi4fKqwztQ45uuSKxNSXoexoOFB0jwCtJ4vRW6Nabu7D4YlbciNTiGR6uOEnnVWxlfZ+ZXVOz5BYZlLZDmSkl8EozX2uMkPAoslpeWWAe3v5ZhUbMiWdFJiM0MSXkexuMF+0lWI/+Kst2bUH12XwzsrUgPjub5yqPEXPFSxveKPqI23dPlR3ix8yxWzarT4uQitTLS3DySn4bycMF+Ekuoh/LdGlN7Tl8My1uRFhzD45W/ElWkHhpvHkel/q1U0kRd8+bGoO/U1kOHv5bTv1ZFZneeTujzYJX4vjMG0n5gRwxNDPHz8GX3gh+IDonSqFuvCb1p7PYFZauUJzc7B39PPw6v3U9UUKSKnFMDZwZ8OxjHelWRSWWEPg/Ge+B6pNl5KnJVh3egepE24vEWbaROQRtJU9NGitJ47QichrbHY/FB/HZf0Jjnx342bK5cV5s2/cddZP52VKMeb8LD6wl7j5zgue8L4hIS2bJmEe1bNXvv/F5Hp7Erui26IzIyQxYdSu5fe5BFqH9WdOq3Ru+riSph8rxcMpd/rRImsi6HuNNgtB1qgJYWstiX5BzdgDwlQaMeXaf3pdnA9khMDAny8OPYwt3EhURrlK/SuDodxnanQu1KmNpa8NPY73l80UNFZnvIMbVp/1h9iJs/nS0W7ja9L18MbIfExJBgDz9OLPyF+BJ0qNy4Gm3Hdqd8gQ57xq7n6Ws6DFj/DY37tFYJ873uxU/D1mrM92MizJLWzP+MwSiXy5FKpejoqKqcm5uLWCwuJa3+d8nLy0NXV7e01VCi07A1+v3GkX1oK9JgX8QdvsJw2mrSF41CnpasMZ3I0hb9vmPI939SLC5tZn/VMmo1Qn/YDPIe3lSbl16bthiNn0ja5o3k+T7H4Ku+mK1bT8Lwr5G/ZvgDyNLSyDh8CGl4GOTlIW7aFOPZc5AlJ5Hr8QAA7TJlMd+yjaxzf5Oxfy/yjAy0HRyQ5+Yqy3SZPZh7c/eS8PAF1ca40e7IHM60/JachNRiZVo1dKLFzol4rfmNl5ceUenLZrTeM52/XReS4vcSgNSgKB4s2E96aCza+mKqj+1M+1/ncLrZTHIS01Tya7BwIMgUnTAhB64QefYeVcZ0ptmvc7ncYia58cV1sGjoRMNdk3i++hjRlx5i/2VzmuydwbVO80nzVehwrvY3Kmls29ej/sYxRJ69D0DCA38VGTtXF+qtG0lOUjrXeq+k6hg3Wv86l79bzFJbD5YNnWi6axKPVx8j8vIjKn7ZjOZ7Z3Cp0wJlPQBEXfXm/rQflefS3LxieQHUXTSQrJgkzGtVLBbXY/yXdB7ejZ0ztxAbHkO/mYOYf3AJMztMJi9HfX7Vm9TkwoFzBHoHoK2jzYDZX7Pg4FJmdphMTlYOoDAW5+9fzKmdv7N38c9IpVIqVq+EnUy1U6xijyY0WDKY+3P3El/QRtoemcOfJbSR5gVtJOLSIxy+bEarPdM5V6SNvKK8W0MsXRzJjEpUex2v+BTPRnyfL1XSiBs3wXjWbLJvqjck35asrGycHSvzZddOTJu/8oPyeh3tWk0Rdx5K7pmfkb4MQLdpV/SHLSBzyzTIKH4vAOTZmWRtmVp4/lqfp8jcFsno5eR5XiXv6m/Is7PQsi2PPF992wLoML4HrUd05uDMnSSEx9JtZj8mHpjPyo4zydfQJvUM9IjwCeXu8WuM/XGWWpl5jcaqnNdsU59B68bhde5eMdl243vQcoQbR2buJDE8js4z+zHuwDzWdZylUQexgT6RPqHcP+7OiB9narw+H3cvjn67S3men5OvUfZjI4xh1MwnXVYnPz+fSZMmYWpqipWVFYsWLUJe8LQcPHiQhg0bYmxsjJ2dHYMGDSI2tnCrOHd3d0QiEefOncPFxQU9PT1u3bpFmzZtmDRpEtOmTcPKygpXV1cAnj59SufOnTEyMsLW1pYhQ4YQHx//3rqnpaUxcOBADA0NKVeuHDt27FCJ37hxI7Vr18bQ0BB7e3smTJhAenq6UvcRI0aQkpKCSCRCJBKxdOlS2rRpQ2hoKNOnT1eGv+LWrVu0bNkSiUSCvb09U6ZMISMjQxkfGxtL9+7dkUgkVKpUicOHD7/T9YhEInbt2kWPHj0wNDRk1apVSKVSRo0aRaVKlZBIJDg7O7NlyxZlmqVLl7J//35Onz6t1Nfd3R2A8PBw+vXrh5mZGRYWFvTs2ZOQkJB3rOVC9Dr2Ju/mOfLuXEQWFUb2oS3Ic3PQbe5awkVpIRk9l5wzB5HFF/f2yFOTVA6des2Q+nkjj1f/BWzQpx9Zf58l+8I5pKGhpG3egDwnG4lbF7Xyed5e5N6+iTQsFGlUJFknfyc/KAjdWrWVMoajRpN77x4ZP/1A/osApFGR5N69o/yRNejTjxdHrhF07AYpAZHcm7MXaVYOjgNbqy2z2mhXIq895vmuv0h9EYn39ydIfBKC84iOSpmQP+4SffMZ6WFxpPhH4Ln0MGITA8xrVFDJq2zbOpRpXQuRtuI1EH3BkzT/CLxm/4I0K4eKA9TrUHmMG7HXvHmx8yzpAZH4fHec5CfBVB7RSSmTE5eicpRxdSH+9nMywxTPuDxPqhLvMLgt0tw8AvZcINU/Ao/Ze8jPyqGShnqoOtqN6GuP8dv1F2kBkTz97gTJT0JwHNlJRU6am0d2XIryyEvJLJaXXbu62LWujfdy9V7RLqO6c3L7b3hcuk+Ybyg7ZmzB3MaCRp2aqJUHWDNsOddPXOVlQDihPiHsnLkV6/I2VK5dRSkzbNFIzu37i9O7TvIyIJyooEj++es2slzVH8dqYzsr20hqQCT3C9pIlRLaSNS1x/gUtJHH358g6bU2AiCxM6fRyqHcmbgTWb5U47XAp3k2ZEmJKode8+bkeT1CFqXZc/s2tGzaiCljh9GhdfMPykcdus26ke9xhfxH7sjjIsj982fkebnoNmirOZFcjjw9RXmQkaISLe44AKn/I/IuHkYWFYI8KQapr6dGAxSg7cguXNh2kieXPIj0DePAjB2Y2ppTt5PmbUafu3txdsMxHl94oFEmLS5F5ajdsSEBd5+REF58G9dWIztzadsfPLvkSZRvGEdm7MDE1pxanRpqzN/X3YtzG37jSQk6AOTn5qnokZWaUaK8wL/DJzUY9+/fj46ODvfv32fLli1s3LiR3bt3AwoP14oVK/D29ubUqVOEhIQwfPjwYnnMnTuXtWvX4uPjQ506dZT5isVibt++zQ8//EBycjLt2rWjfv36eHh4cP78eWJiYujXr9976/79999Tt25dHj16xNy5c5k6dSqXLl1SxmtpabF161aePXvG/v37uXr1KrNnzwagWbNmbN68GRMTE6KiooiKimLWrFmcPHmS8uXLs3z5cmU4QGBgIG5ubvTu3ZvHjx9z7Ngxbt26xaRJk5TlDR8+nPDwcK5du8aJEyfYuXOnioH9NixdupQvv/ySJ0+eMHLkSGQyGeXLl+f48eM8f/6cxYsXM3/+fH777TcAZs2aRb9+/XBzc1Pq26xZM/Ly8nB1dcXY2JibN29y+/ZtjIyMcHNzI7fAc/ZOaOugVdGJfJ9HhWFyOfk+j9CuUl1jMr3ug5GnJZN36/wbixAZm6FTuzG5mmR1dNCpWpXch54qOuQ+9ES3Rs23ugzd+g3QKW9P7pPHBYWKEDdpSv7LcEzXfo/ViVOYb9+FuHkLlTKjbj5TKTPq5jOsXBzVlmHt4kj0zacqYVHXH2OtQV5LVxvHr9uSm5JB0vNQZbi+lQlNvh/Nnek/Y1q1nGoiuZy4m0+xaOikNk8LFyfibqjqEOv+WKO8npUJth3qEXrEXW28SFcbszqV0BLrEnz0hlKHmJtPsXJRn6dlQ0diXq8H98fF6s2maXV6PtlJ55vf47J2BGJz1X2a9axMaPT9aP6ZvIv8zJxi5djY22JuY8GTW4+VYVlpmbzw8sepgbNa3dRhULBHdXqy4qPSxNIUpwbOpCaksPzkWn702MeSYytxbqja3rV0tbGoU4no19pIdAltxMrFkajX6iby+mt1IxLRbOt4nu/6ixT/iJKV/xTPxmuIzM0RN2lK1rm/3yq/UkFbG62ylZEGFenNkMuRBj5By76q5nRifSQzdyCZtRO9Qd8isilfGCcSoV21AbKEKPSGzsdgzs/oj12FdnXNhp+lvQ2mNub43i7UIzstixCvFzg0UP+8vA/GVqbUalufu8euFYuzsLfBxMYc/9d0CPN6gUODEuriLXH8ogbLPH5k7pWN9F45CgOzf29/dflHOv6LfNIuaXt7ezZt2oRIJMLZ2ZknT56wadMmxowZw8iRI5VylStXZuvWrTRq1Ij09HSMjAobx/Lly+nYUfXL2MnJie++KxyHtHLlSurXr8/q1auVYXv27MHe3h5/f3+qVn33Bty8eXPmzlVsOl+1alVu377Npk2blLoUHYPo4ODAypUrGT9+PDt37kQsFmNqaopIJMLOzk4lX21tbaVX9RVr1qxh8ODByjydnJzYunUrrVu3ZteuXYSFhXHu3Dnu379Po0aKF8kvv/xC9eqajSl1DBo0iBEjRqiELVu2TPl/pUqVuHv3Lr/99hv9+vXDyMgIiURCTk6Oir6HDh1CJpOxe/dupZd07969mJmZ4e7uTqdOql6eNyEyMkGkrY08NUklXJ6ahLadvdo02o410W3hRsbyb9TGv45us46Qk0n+w1tq47VMTRFp6yBLUtVBlpSEjn0FtWkARIaGWB47gUhXDDIpaVs2k+epGJOjZWaOloEBhgMGkb73FzJ+/hFxo8aYLl1B8sxpSCNeItLWITtO1eOQHZ+CqWMZteXpW5uR/Vo3cXZcKvo2Ziph5TrUo8WuSehIxGTFJHNlwDpyEtOV8U03jyPg4BUyI+LR0tEuVk5OXApGjmXV62BjVkznnLgU9F7T4RX2/VuRn55N5N/qvQp6FsaItLWIf+BPVpGu0ey4VEw06WCtXoei9RB1zZuXfz8gIywOIwcbas/rT6vDs7nSbQnygm7fJlvGE3jwCknewRiUtypWjllBfinxySrhKfEpmFmbq9XtdUQiEcOWjML3wXPC/cMAsK1gC0Cfaf05tGofIc+DafVVWxYdWc65dnNJC45R1o2WjrbaNmLyAW2k5sRuyKUy/H7RPGbxFZ/i2XgdSSc35JmZ5Ny88UZ9SguRQcF7Kj1ZJVyenoyWlfp2KouPJPfULmTRoaBvgG7zHkjGrCRr2wzkqYmIDE0Q6UnQbdmT3MvHyLt4GG2neugNmEn23mXIQnyK5WlibQYovIFFSYtLUcZ9DJr0bk12RjZeF+6/kw7GH6iD73Uvnpy/T2J4LJYVbeny7QDG7pvLlq/Uj3n+2AhjGDXzSQ3GL774QqXbtWnTpmzYsAGpVIqXlxdLly7F29ubpKQkZDLFbQoLC6NGjRrKNA0bFndvu7i4qJx7e3tz7do1FUPzFYGBge9lMDZt2rTYedEZyZcvX2bNmjX4+vqSmppKfn4+2dnZZGZmYmBg8E5leXt78/jxY5VuZrlcjkwmIzg4GH9/f3R0dFSuu1q1apiZmb1TOerqcseOHezZs4ewsDCysrLIzc2lXr16b9T3xYsXGBsbq4RnZ2cTGKh+8HdOTg45OaoenBypDD3t93By60mQjJpD9oHNyNM1d9sURbe5G3n3rkIJ44LeB3lmJkljRyOSSNBt0ACjbyYgjYokz9sLtBRtP+fObbJ+V0yyyQ98gW7NWki69yT9hx0l5PxhRN/24a+OC9C3MMJxcFta/jiJc12XkpOQivOoTuga6fNs2xn0rU0/mQ6vqDigDS9P3kamaWyVrcLwirr0SG38+xJ++h/l/ym+4SQ/D6Pbvc1YN6tB7K1nOI1yRcdIH5+tp1XSrTi5FnnB+2jtiA8fAzdyxVjsq1ZkSZ95yjBRQdu4fPgi7sevAhDyLJhazetQZUBrvNb89sHlasKitgPOo10557rwk5UBb3g2XkPfrTPZVy5D3nv0UHzGyMIDkIUHKM9zwvyRTNmETqOO5F05BiLF+0/q60H+3b8UaaJD0argjG6jTuSE+KBdpwUbnhWOLdw18t+Z/PFFvzZ4nLpFfk4eDXu2YODqMcq43SPXfbJyvf68q/w/yi+cSJ8wFt7ciuMXb+fNFvh0lMqkl+zsbFxdXXF1deXw4cNYW1sTFhaGq6trsS5NQ0PDYulfD0tPT6d79+6sW1e8EZcpo/4r/EMICQmhW7dufPPNN6xatQoLCwtu3brFqFGjyM3NfWeDMT09nXHjxjFlypRicRUqVMDf3/+j6P16vR09epRZs2axYcMGmjZtirGxMd9//z337hUf4Py6vi4uLmrHUVpbW6tNs2bNGhVvJsDc+pWZ51IFeXoqcqkUkYmqx0ZkYo4stfhgfC2bMmhZ2SGZtLyIsOIH2PiHc6QvGok8rnAclLZTLbTL2JP10yqN1yRLSUEuzUfLXFUHLXNzZIklTAiQy5FGKrr08gNfoFOhIgYDB5Pi7aXIMz+f/NAQlST5YaHo1qqtLPN1o03fypSs177cX5Edl4y+lYmqvLUJ2bHJKmHSrBzSQ2JID4kh/mEgPW6tx3Fga55t/xO75jWwcnFiYMi+gkuQIxKJaH1hJS9P3ubhlB/QszYl57U8lTrEJhfTWZO8ZRNnjJ3K8mDcVrV5Adh1rI9cLic1SHXsmuK6SqgHNTq8Xg9FyQiLIzshFeNKtsTeeoZNixpYujjRJ3S/ipyOrg4el+5zeM1+dMWKiWGmVmYkxxZ62EytTAl5bSa1OkYsH0OD9o1Y2m8+idGFM16TCvJ6+SJcRT7ixUvKlLNUnuckpiHLl37UNmLdxBl9KxN6PSgcr6ylo02DJYOpNsaN002mq6T9FM9GUXRr10GnQkVSVyxTk8nngzyz4D1lZKYSLjIyK+Z11IhMiiwqGC0LuyJ55iOLVZ2MJIuLQLuCYsiD1NeD77e/UMbpFLRJY2tTUuMKyzW2NuXl85B3uiZNVGlUDbsq5dg7SdFGnlz2INKrUAftIjqkvaZDRJGhLx+DxPBY0hNSsXKw/aj5akKY9KKZT2owvm54/PPPPzg5OeHr60tCQgJr167F3l7R5ejhob6r4m1o0KABv//+Ow4ODsVmUb8v//zzT7HzV13Anp6eyGQyNmzYgJaW4gvx1bi/V4jFYqTS4gPJ1YU3aNCA58+f4+iofkxStWrVyM/Px9PTU9kl7efnV2zJnnfl9u3bNGvWjAkTJijDXvcQatL32LFj2NjYYGKi+sOkiXnz5jFjxgyVsJxpXyn+keYjCw1Ap3o98r3uKMJEInSq1yP36pliecmiwklfojqbT6/XcET6ErKP7kKeGKcSp9vCDWmIP7KXmpchIT+ffH9/xPVdyL19S6mDuH4Dsk798VbXqEijhejV7PP8fPL9fIt12+mUt0cWE6Ms065FTV6e91SWadeiJv77LqGOOM8X2LWsiW+R5U/KtKpFnOcLtfKFaonQ1lPo9WDRQbzWnVDGtfp5CqaOZfEYt5XEh4EgEmHdoiZBe9QvS5ToGYB1y1oE/lw4HtS6VW0SPQKKyVYc1IYk7yBSn4dp1K1Cv1bkxCZj27Q6EX8VdFuLRNi2qEXAXvU6JHi8wKZFTfyL6GDXqhbxJdSDpIwFeuZGZMUkA/Bo4QGeri1cXknfzpw2R+eyedJ6XjzyVxp4SbGJ1G5eR7nUjsRIgmO9qlw6VPLY2RHLx9DY9QuW9V9I3GuTBuLCY0mMTqBsZdXxo2UqlyXjSuH4Q1melMTHwWrbiJ+GNhJf0Eb8Xmsjr+om+PfbqmMigXZHZhP8+20Cj6npEv4Uz0YR9Dt3Ic/Pl/wgzcs4fRZIpcgig9CuXAupT2E71a5ci/x7bx5H/Upey7YCUv9HhXlGBBbr0tayLIM8pWDSZm428aExKvEpsUk4N6utNM70jSQ41HPk1iH1beJdadq/LWGPA4nwUeSfk5FNfIaqDqmxSTg1q0VkgQ56RhIq1HPk9kfS4RWmdhYYmBuRWsLH4MdEMBc180knvYSFhTFjxgz8/Pz49ddf2bZtG1OnTqVChQqIxWK2bdtGUFAQZ86cYcWKFe9dzsSJE0lMTGTgwIE8ePCAwMBALly4wIgRI9QabW/D7du3+e677/D392fHjh0cP36cqVMVSyM4OjqSl5en1P/gwYP88MMPKukdHBxIT0/nypUrxMfHk5mZqQy/ceMGERERylncc+bM4c6dO0yaNAkvLy8CAgI4ffq0ctKLs7Mzbm5ujBs3jnv37uHp6cno0aORSCTvW2WAYqykh4cHFy5cwN/fn0WLFvHggeo4MwcHBx4/foyfnx/x8fHk5eUxePBgrKys6NmzJzdv3iQ4OBh3d3emTJnCy5cv1Zalp6eHiYmJylG0Ozrn0u/otuyCbtOOaNnZoz94CiKxPnm3FT96+iO/Re/LgnGv+XnIIkNUDnlWOvLsLGSRISAtMstU3wBdl1bk3jr3xvrIPPEbkq5d0e/kinaFihhPm4FIX0LWBUVa4znzMRxV2C1jMHAwui4N0SpTBu0KFZH07Yd+x05kXyl8YWYcO4pem7bod+mGdtlySHp+ibhpU7LOnFKW6TSoDZX7tsTEsSxN1o5Ax0CPwKOKpUWabRlHvXmFk7d8d1+gbJs6VB/XGRPHMtSZ+RUWdSrjt1dRprZEj3pz+2HVoAqG5SyxqO3AFxvHYGBnTuifig+4zIgEUvxeKg+/PYq0xlXLo2OkT911I9E20CesQIcG276hxvzCJYqCfj6PTds6OI7vgpFjWarN6o153coEvWbc6RhJKNu9CaGHiw+af4VVi5oYVrQhYMdZKg9ui0Pflhg7laXhOkU9BBfo0GTreGoX0cF/93nKtK2D87guGDuWoebMrzCvW5kXBUaujoEedRcNxLKBIwblrbBpUZMW+2aQHhxDtPtjtfWQFqjwcMaERqt4A//+5U++nNwXlw6NsHeuyMSN00iKTeTBxcIP4oVHluM6rHDG8KiV42jZqw1bp2wkKyMLU2szTK3N0NUrXALszx9P0Xl4V5p0aYptRTv6zRxEuSrlCPzVXaWOfH86h+OgNlQqaCON145A20CPoIK6aaqhjVQraCO1X2sjuUnpKted4vcSWb6UrNhkZR28zqd4NgBEBgbot2pD1t9/qS33fcjMzMLXPxBff4UBGhEZg69/IFHR7zZJUB15d86i49IenXqtFWsndh+NSKxH3kN3AMS9J6LbcaBSXrdNb7Sr1EFkboNWmUro9ZmCyMyaPM8rhXneOoN2rWbouLRHZGGLThNXtJ1dyLuneXzptT1/4zb5S2p3cKGssz1DNk4kJSYJ74uF7+/JhxfSamjhKhNiAz3K1ahIuRqKpaMs7W0oV6Mi5mUtVfLWN5JQv8sX3Dl2tcS6uLHnHB0nf0nNDi6UcbZn0MYJpMYkqayrOP7wQlq8pkPZGhUpW6CDhb0NZWtUxKxAB7GBHt3nDaZifUfMy1vj1KwWI3+eRXxIDL431K8jKvDv8Uk9jEOHDiUrK4vGjRujra3N1KlTGTt2LCKRiH379jF//ny2bt1KgwYNWL9+PT169HivcsqWLcvt27eZM2cOnTp1Iicnh4oVK+Lm5qb0AL4rM2fOxMPDg2XLlmFiYsLGjRuVS/jUrVuXjRs3sm7dOubNm0erVq1Ys2YNQ4cOVaZv1qwZ48ePp3///iQkJLBkyRKWLl3K8uXLGTduHFWqVCEnJwe5XE6dOnW4fv06CxYsoGXLlsjlcqpUqUL//oU/kHv37mX06NG0bt0aW1tbVq5cyaJFHzYIeNy4cTx69Ij+/fsjEokYOHAgEyZM4Ny5QuNqzJgxuLu707BhQ9LT07l27Rpt2rThxo0bzJkzh6+++oq0tDTKlStH+/bt39rj+Dr5HtfJNjZFr+dQRVd0eBCZWxYo12DUsrBB9voCZm+BbqM2AOTd12y0vCLH/RrppmYYDh+JlrkF+YEvSJ77LfKCwf7aNjYgLxwSLdLXx3jKdLStrZHn5CANDyN1zUpy3AvLyr19k7TNGzEYOBjtSVPIDw8jZeli8p4+UZbpl12JOt/2VizK/CyUq4O/U05aMCxnpZygARDvEcCtiTupN6cv9eb2Iy04musjNynX15PLZJg4lqFV36noWRiTk5ROgncQF79cqXE2bMTlR7B6GJWGd6DqtF6kPAvl7sC15BToYFDOEmSF153oEYDHhB1Un9OX6vP6kxEczb0RG5VrML6iXK+mgIiXf9zRWOcVB7Uh4b4fgT+dIzdfSq3ZfdC3NiX5WSjXB61T0aFoPSR4BHB3wg5qz+lL7Xn9SA+O5vaIjSr1YFqjAg79WqJrYkh2TBLR15/wZN3xYsvWvIkzP/yBnoE+Y9dMwMDEED8PH9YMXa6yBqNtBTuMzQvbfqchnQFY+pvqMIidM7dy/YTih/jvPX+iq6fL0EWjMDIzItQnhJWDl+IcqmrYhJ65h56lCXW/7Y1+QRu59oY2cnviTuoWaSM3irSR9+FTPBsAem3bg0hEzrUrfCye+gYwcvIc5fl3234CoGfnDqxaqHntv7dB+vQuuYYm6Lbvh9jIDFlUCNkHViuXytEytUJW5F6IJEaIe41TdFtnZSCLDCL754XI4wqfRanPA3L//BndVr0Qdx2BLD6SnKMbkIVp3rTg8g9n0JPoMXDNWCQmBgQ+8GPnsDUq6x9aVbTFyKJwnHnFOlWYenSJ8rz3omEA/HPCnUOzCtc8dOneDJFIhMeZ2yXWxdUfziCW6NF3zRgkJgYEP/Djp2Fri+lgWEQH+zpVmHh0sfK81yLFb+b9E9c5OmsXcqmMMtUr0LB3KyQmhqTGJuF34zHnNv6G9B2f2/dFmPSiGZFc/h6/wgICH4HUMe82m/pTkB1UfCmVf5uLPupngv+bGMlK/zWZU2SCXGlxUlz66731yPv3lhApiY7Vw98s9IkxP7a3tFUgd8vc0laBOQdL/9kQU/o6bAx5/x2A3pYpDv3fLPQWbNWwa87/Mv8zO70ICAgICAgICHxKSv/T+fPlk45h/By5efMmRkZGGo//RQ4fPqzxemrWFJYiEBAQEBAQEPgw/t95GBs2bIiXl1dpq/FR6dGjB02aqN+m7HPaL1pAQEBAQOBzRlhWRzP/7wxGiUSicfma/1WMjY2LLaItICAgICAg8G587uZiYmIikydP5s8//0RLS4vevXuzZcsWjT2kiYmJLFmyhIsXLxIWFoa1tTW9evVixYoVmJq+28YN/++6pAUEBAQEBAQE/hcZPHgwz54949KlS5w9e5YbN24wduxYjfKRkZFERkayfv16nj59yr59+zh//jyjRo1657L/33kYBQQEBAQEBATU8Tl3Sfv4+HD+/HkePHig3Op327ZtdOnShfXr11O2bPE9zWvVqsXvv/+uPK9SpQqrVq3i66+/Jj8//502OxE8jAICAgICAgICKGZJf4wjJyeH1NRUlSMn58OWcbt79y5mZmZKYxGgQ4cOaGlpvXFL36KkpKRgYmLyzjvjCQajgICAgICAgMBHZM2aNZiamqoca9as+aA8o6OjsbGxUQnT0dHBwsKC6Ojot8ojPj6eFStWlNiNrQnBYBQQEBAQEBAQAOQf6W/evHmkpKSoHPPmzVNb5ty5cxGJRCUevr6+H3xtqampdO3alRo1arB06dJ3Ti+MYRQQEBAQEBAQ4OMt3K2np4eent5byc6cOZPhw4eXKFO5cmXs7OyIjVXdOjQ/P5/ExETs7OxKTJ+WloabmxvGxsb88ccf77XknmAwCggICAgICAiUEtbW1lhbW79RrmnTpiQnJ+Pp6YmLiwsAV69eRSaTaVyLGRSeRVdXV/T09Dhz5gz6+vrvpadgMAqUGvL80t+EyetpmdJWgWD90p+VV6f0t9RG9zPY1l76GWwMJvkM9vUGkOWV/t7Bn8M+zuKpa0tbBTIOflvaKmArfz8j438N+Wc8S7p69eq4ubkxZswYfvjhB/Ly8pg0aRIDBgxQzpCOiIigffv2HDhwgMaNG5OamkqnTp3IzMzk0KFDygk4oDBUtbW137p8wWAUEBAQEBAQEODz30v68OHDTJo0ifbt2ysX7t66dasyPi8vDz8/PzIzMwF4+PChcgb165uWBAcH4+Dg8NZlCwajgICAgICAgAAg+wx6OkrCwsKCI0eOaIx3cHBAXuQa2rRpo3L+IQizpAUEBAQEBAQEBEpE8DAKCAgICAgICPD57yVdmggGo4CAgICAgIAAn/fWgKWN0CUtICAgICAgICBQIoKHUUBAQEBAQECAz3tZndLms/EwtmnThmnTpv0rZTk4OLB58+a3khWJRJw6dUpjvLu7OyKRiOTk5I+im4CAgICAgEDpIPtIx38RwcP4gTRr1oyoqChMTU0B2LdvH9OmTft/Y0CGhIRQqVIlHj16RL169T4oL3G7Huh17ofI1AJpWCDZh7cjDfZ7Yzrdxm0w+GYheQ9vk7ltiUqcVpkK6PcdjY5zXdDWQhoZRub2ZcgTY9XmZT+iEw4TuiO2MSX9eRg+8/eS+ihQrayhc3kcZ/fFpE5lJBWs8V20n7CfzqnIVJrSE5sujTF0KossO5fkB/74rzhCZmCUilzrGb2pP7At+iaGhHv4c27BHhJDYkq87oZDO9J0bFeMrE2J8Qnj/JL9RHoHFepnbUqH+YOo3KIWYiN9EoKiuLX9NL7nHihlJt/ajJm96g4DWRHx3B+9hWQN1w1QtnsTqs3ui4G9FRnB0TxbeZTYK17KeG0DPWosHEgZNxfE5sZkhscStPsCIQeuqORj7uJE9Xn9MG9QBZFWwferCFKeheG9YD9JJehQrnsTahTokB4czdOVR4kposNX0eqXnniy/AgBO88C4PpgC4ZFrv8r4NDa/Zza9btKmv4zBtFhYCcMTAzx8/DhpwW7iA5RvYdF+XJCH5q4NaVclXLkZufi5+nLobX7iQyKAMC6vA27bu9Wmzbk8DWsW9VC39qUlOf/Tj28QkusQ5u/l2NWy4H4kaPJf/FCGWfwZS8MBwxAy8KCvMAXpG3ZSp6P+v1t9Vq1xOjrr9EuVw50tJG+jCDj2DGyL15SK28ycwYGPXuQum07mcdPaLxWncau6LbojsjIDFl0KLl/7UEWob5udOq3Ru+riSph8rxcMpd/rRImsi6HuNNgtB1qgJYWstiX5BzdgDwlQaMeb8LD6wl7j5zgue8L4hIS2bJmEe1bNXvv/NTRa/oAWg/sgIGJAQEefhxc+BMxJbTJrhO+xMX1C+yqlCMvO5cXD/04vvYg0UGRABiaGtFren9qtqyLZTkr0hJSeXjxPn9sPEpWmmJNv9J6Twl8Hnw2HsaPjVQqRfYv7JggFouxs7NDJCr9XRGKkpubW9oqvBO6jdugP2A82acPkr50PLLwIAxnrkVkbFZiOpGlLfr9x5Hv97hYnJZ1GQznb0YWFU76upmkLxpLzplDkKe+bmx7NsV52RACN5zgn47zSHsWisvReYitTNTKa0vEZIXGErDqCDkxSWplzJtWJ3zvRe51WYRH31WIdLRxOTYfbYPCPUabje9G4+Gu/D1/L3t6LiYvM4dBB+eirad5r88a3b6g48LB3Nhykp+7LSTGJ4xBB+diYFmoa8+N32BZuQzHRm/gx05z8T3vQe8dU7CrWVElr2dn7yLLzePJogPc7LmM2BtPafrrXI3Xbd7QCZddkwj71R33jvOJOudJk70zMK5WXilTa9kQbNrWwXPSTq60mkXgT+epvXo4dp0aFObj4kTTX+cQ5/4Y3+9OINLSIuToddy7LCblWRjNf52LngYdLBo60WjXJEJ+dedqgQ5N987ApIgOf9X+RuXwnPYjcpmMiLP3VfJ6vu64UmZ0w6Gc26dqRPUa/xVdhnfjp/m7mN/zW3Iyc1h0cBm6Jd2fJrU4f+Av5vX6luVfL0ZbV5tFB5ehJ1Hc94TIeEY3HKpyHN1wmNzsHOz7tMB3w0mudlrwr9YDQK1Fg8iOSS4Wrt+uLcYTJ5C+bx/xo8eQ/yIQ8/Xfo2VmplYveWoa6QcPkjBhAgkjRpF17hymc+cibtSomKxeyxbo1qiBNC5OY30CaNdqirjzUPKunSBr1xxk0aHoD1sAhurrBkCenUnmujGFxwZVA1Jkbotk9HJkcRFk71lK1vZvybv+O/L8vBJ1eRNZWdk4O1ZmwcwJH5SPJrqM70XHEV04sOBHVvSaR25WNjMOLEKnhDbp3KQmVw6eZ+WX81g/ZBnaOtrMPLAYcUGbNLM1x8zWgmOrD7Cw03R+mbWd2q3rM2Kd4hpK+z31byFD/lGO/yKflcEok8mYPXs2FhYW2NnZsXTpUmXcxo0bqV27NoaGhtjb2zNhwgTS09OV8fv27cPMzIwzZ85Qo0YN9PT0CAsLIzY2lu7duyORSKhUqRKHDx9+Z73i4+P58ssvMTAwwMnJiTNnzijjinZJu7u7M2LECFJSUhCJRIhEIpVr0ISDgwMrVqxg4MCBGBoaUq5cOXbs2KEik5yczOjRo7G2tsbExIR27drh7e2tjF+6dCn16tVj9+7dVKpUSblXZHJyMuPGjcPW1hZ9fX1q1arF2bOFP4i3bt2iZcuWSCQS7O3tmTJlChkZGSq6rV69mpEjR2JsbEyFChX46aeflPGVKlUCoH79+ohEItq0afNOdfsKcafe5N74m7xbF5BFhpF1YDPy3BzELd00JxJpYTBuHtmn9iOLK/5lrdd7JPmP75F9/GdkYS+QxUWR73UXeVqy2uwcxnfl5aGrRB69ToZ/BM+/3Y00K5eyA9VfU6pXEP7LDxN96i6ynHy1Mg8HriXy2HUy/F6S/jyMp1N3IbG3xqROJaVM41Fu3Nx+Cv9LnsT6hnN6xi6Mbcyo1slF46V/Mbozj45ew/v4DeIDIvhr/h7ysnKo16+1UsbexYkH+y4S6R1Ecngct7adIjs1A7valVTyKlfPiZBD1wj6+TyJ9/zwmvEz0qwcKg5o/XqxAFQZ40bsNW9e7DxLekAkvt8dJ/lJMJVGdFLKWDRyIvy3myTc8SErPJ7QQ1dJfRaGWf0qSplay78maPcFArb/SbkeXxB86Crec/eS8iyMR7N/KVEHxzFuxFzzJmDnWdICInleoEPlIjrkxKWoHGVcXYi7/ZzMMFXvcl56llImOS6ZnCzVfRK7jurB79t/48Gle4T6hrBtxibMbSxo3OkLjfdn1bCluJ+4ysuAcEJ9QtgxcwvW5W2oXFux04JMJiM5LlnlaOLWlKyMbEIOXyP06HXS/CP+1XqwbVcXm9a1ebKs+DvSoF9fMs/+Rda580hDQ0ndsBF5djaSrl3U6pXr5UXOzVtIQ8OQRkaSeeJ38oMCEdeprSKnZWWFydSppKxYCflSjfUJoNusG/keV8h/5I48LoLcP39GnpeLboO2mhPJ5cjTU5QHGSkq0eKOA5D6PyLv4mFkUSHIk2KQ+npCRmqJuryJlk0bMWXsMDq0bv5B+Wii48hu/LntBI8uPeClbyg/z9iGua05DTo11phm47CV3D5xjciAcMJ9Qvll1nasylvjUFvxTEb4h7Pjm+/xvuJBXFgMPnef8vv6I9Rr3xAtba1Sf09VaVP3A2vt7ZB/pL//Ip+Vwbh//34MDQ25d+8e3333HcuXL+fSJUUXhpaWFlu3buXZs2fs37+fq1evMnv2bJX0mZmZrFu3jt27d/Ps2TNsbGwYPnw44eHhXLt2jRMnTrBz505iY9V3R2pi2bJl9OvXj8ePH9OlSxcGDx5MYmJiMblmzZqxefNmTExMiIqKIioqilmzZr1VGd9//z1169bl0aNHzJ07l6lTpyqvHaBv377ExsZy7tw5PD09adCgAe3bt1fR48WLF/z++++cPHkSLy8vZDIZnTt35vbt2xw6dIjnz5+zdu1a5d6RgYGBuLm50bt3bx4/fsyxY8e4desWkyZNUtFtw4YNNGzYkEePHjFhwgS++eYb/PwUXcX37yu8FJcvXyYqKoqTJ0++U90CoK2DtkNV8p89LAyTy8l//hBtxxoak+n1/Bp5ajJ5N88XjxSJ0K3TBFn0SwxmrsV4y3EMF25Dp776biGRrjbGdSqRcPOJig6JN55g1rDqu1+TBnSMDQDIS1Z87Egq2mBsY07wrWdKmZy0LCK8AinXwEltHlq62pSpXYngW09VdA2+9ZTyRdKEewZQo/sX6JsagkhEze5foKOnS+hdH5X8TMtZYt+3Ja0vrcZxQjdEWiLibj7FvKH68s1dnIi78VQlLNb9MRZF5BMfBGDn2gB9O3MArJrXwKiKHXHXFfUrtjLBwsWJnIQUWp5diln9Klg1q45lY2fl9cTefKqSZ1EsXJyIfU2HmNd0KIqelQl2HeoRcsS9WJzz5B50ff4j7S6tpse4L9HSLnwt2tjbYm5jweNbhR9nmWmZBHj5U7WBs9qy1GFgbAhAenKa2vjKtapQqWZljMyMVK/rX6oHPSsTGqwfjcfknUhfM5jR0UG3qjO5Hp4qeuV6eqJbU/PzWRRxgwZo29uTW+QjF5EI04XzyTh6lPyQkJIz0NZGq2xlpEGqz6c08Ala9iU8n2J9JDN3IJm1E71B3yKyKfS8IhKhXbUBsoQo9IbOx2DOz+iPXYV29eJe0M8Ja3tbzGzMeXa7sFclKy2TQK8AHN+hTUoK3kUZGtokgIGxAdnpmViWtS7V95ShlQnd1o5+62v7EIQxjJr5rMYw1qlThyVLFGPQnJyc2L59O1euXKFjx44qE2IcHBxYuXIl48ePZ+fOncrwvLw8du7cSd26ii8Rf39/zp07x/3792lU0BXyyy+/UL169XfSa/jw4QwcOBCA1atXs3XrVu7fv4+bm6r3SywWY2pqikgkws7O7p3KaN68OXPnzgWgatWq3L59m02bNtGxY0du3brF/fv3iY2NRU9P0X2wfv16Tp06xYkTJxg7diyg6IY+cOAA1taKMVkXL17k/v37+Pj4ULWq4qVauXJlZZlr1qxh8ODByrp1cnJi69attG7dml27dim9lF26dGHCBEW3xJw5c9i0aRPXrl3D2dlZWZalpeU7X/MrRMamiLS1kaeqduvKU5LQsrNXm0bbqRbilp1JXzJOQ55miCQG6HUdQPbJfWT/9jO6tRthMGkpGd/NQvpaF7bYwgQtHW1y41Q9EDlxKRg6lXuv6yqulIhqK4eRdM+XdN+XinKtzQDIiFctNyM+BaOCuNcxMDdGS0eb9GJpUrGqUlZ5/vvErfTePplvH/+ENC+fvKxcjo/dTFJo4Zgj7xM3aD29N4/n7kHHUJ/q8wegZ2NGTlwKxo5lUYd+QXxRcuJS0LMp1PfJgn3UXT8aV68dyPLykcvkeM/aTcI/ijFvhhVsAKg2szd+m09h0bAqqb7htDg+n8tt5pARHP1eOugX0aEoFfq3Ij89m8i/VcdFBe6+QPKTYHKT0rFsVJWvFvTH3Mac/Sv2AGBuozB4k+OTVdKlxCdjZm2utqzXEYlEjFgyGp8Hzwn3D1Mr025ARyKCIihXuZza6/rU9eCydTxBB66Q7B2Mgb2VSpyWqSkiHW1kSaofydLEJMQVKqgtB0BkaIj17ycQiXVBKiN10yYVo9Nw0ECQSsk88bvGPJR5GZgo3hHpySrh8vRktKzU140sPpLcU7uQRYeCvgG6zXsgGbOSrG0zkKcmIjI0QaQnQbdlT3IvHyPv4mG0neqhN2Am2XuXIQvxUZtvaWNa8F5IjUtWCU+NS1HGvQmRSMTAxSPwf+BDhH+4Whkjc2O6T+6L+6+XlfmW1nuqx4bxeB6+QttZfd/q+gQ+DZ+dwViUMmXKKL2Bly9fZs2aNfj6+pKamkp+fj7Z2dlkZmZiYKD4UhKLxSp5+Pj4oKOjg4tLocu8WrVqmGkYd/M2ehkaGmJiYvLOXso30bRp02Lnr2Zye3t7k56ejqWlpYpMVlYWgYGFA74rVqyoNOAAvLy8KF++vNJYfB1vb28eP36s0k0vl8uRyWQEBwcrDeui1//KGH7X68/JySEnR9VzkSOVoaf9Hk5ufQkGY+aQtW8j8nQNXUcFEyjyHt0l96LiByknPBBtxxqI23QjS82Yx09N9bUjMa3viLaBmHZB+wB4NHjdJyuvzcw+6JsYcHDQarIS03Du1JDeOyazv+8KYv0UPxIPj1yl9fTeZITEkuQZgCwvn7rfjSLolwsfVHalUa5YNHDknyHryXoZh2XT6tRZM5zs6CTibj4FLcWY35CDV4k8fZfay4cQ+PMFTKqWx2Fga56tPvbB118UhwFtCD95G1mO6ti0Fz/+rfw/1Sec+Hrl6TaqJx0HuiIH1oxY/sFlj14xHvuqFVjYZ67aeLGemJY9WvHX3j/pN23gB5dXEurqocooV3QMJfhtPf1Ry5JnZpIwajQiiQSxSwOMJ05EGhlFrpcXOlWrYtCnDwmjx3zUMosiCw9AFh6gPM8J80cyZRM6jTqSd+UYiBTvCKmvB/l3/1KkiQ5Fq4Izuo06kfOZGIwiPSN2PTukPN88cvUH5/n1ijGUd67A6j4L1Ma37N+e4avHI0dOxxFdeXbT64PL1MSb3lONhrsiNtTn9o7T/4rB+LH2Xf4v8lkZjLq6qoNnRSIRMpmMkJAQunXrxjfffMOqVauwsLDg1q1bjBo1itzcXKXBKJFIPsnkE016/Vukp6dTpkwZ3N3di8UVNX4NDQ1V4iQSyRvzHTduHFOmTCkWV6GI5+BjXP+aNWtYtmyZSticupWYV78y8rQU5FIpIhNVj43I1LyY1xFAy7osWtZlMJi6sqhSAJjsvkD6vOHIEuOQ5+cjiwxVSSuLCkPbqVaxPHMTU5HlSxFbm6qE61mbkhOb/C6XqpZqq0dg3bEBHr2XI80u/LHWKhgwbmhlSnqRcgytTIl+Hvp6NgBkJqUhy5diZKWqq6GVCekF3ibzCjY0Hu7KDx1mExegmJkb4xOGfWNnGg7tyN8L9qjkpVdw3UkPX6Clq4NhRRuyNVx3dmyyUv4VRetJS1+XGvP6c3/kRmIuewEKY8y0ZkWqfNOVuJtPlbJp/i/JSSzUIS0gAkk5K2We76qDOnnLJs4YO5Xl/ritavMqyuVfL9BxkCvfjV1DbHgMOmLFK9LMyozk2MK2aGplRsjzIE3ZKBm1fBwu7RuyuN98EqPVz7r9okszxBI9Lh0+T+9J/d76uuDj1IN1i5pYNnSiV9gBVfmffiT78iVSvluPPF+KlrmFSry2hTkyNUNzlMjlSCMUbS//xQt0KlbE8OtB5Hp5Ia5bBy1zM6yP/6YUF+loYzzhGwz79CGu/wDVrDJTFe8IIzOVcJGRWTGvo0ZkUmRRwWhZ2BXJMx9Z7EtVsbgItCu8fdfup0aem8GSrwrfnTpixTvDxNqMlCJeRhNrU8Kfh7wxv6+XjaZeOxfW9FtEUnTx+6dvqE/rAR0IfOTP3nm7kObmK8ssjfdUpWY1KN/AifkB+994bR+D/+qElY/BZ2UwasLT0xOZTMaGDRvQKvAc/fbbb29IpfAm5ufn4+npqeyS9vPz+6RL3ojFYqTSkgdvq+Off/4pdv7Kw9egQQOio6PR0dHBwcHhrfOsU6cOL1++xN/fX62XsUGDBjx//hxHR8d31vcVYrEY4I3XPG/ePGbMmKESlj2pl+IfaT7SEH90ajQg/9EdRZhIhE71+uReKe71kEWFkbZQdTyL/lcjEOlLyDqyE1liXEGefmjZlVeR07ItjyyhuHdUnicl7XEwli1rEXfOQ6mDRctahO35MG9btdUjsOnSCI8vl5MZHF0sPi02iUrNaxJT8OIVG0koV68Knocuq81Plicl6kkwDs1r4nfRU6lrpea1eLD/IgC6BTMfX/9alktliLRExfKyblmT6PMemNZ0QC6VYVbfkeDdasaGAkmeAVi3rEXQz4XxNq1qk+ih8OZo6eigJdZBLtNcdmZYHFlRiRhVKYs8T0rK42BsWtbEqHIZYq56g0iETYuaBO65qFaHRM8AbFrWIlCDDkVxGNSGJO8gUp6r7w4uStnK5ZBKpQQ+DiAjVTH5Kyk2kdrN6xLyPBgAiZEEp3pVuXjoXElZMWr5OBq7fsGS/vOJDde89Ej7/h3xuHyfpNgkgp68wKZlTaLOF7bBT10P3gv383xd4ftU39acFsfmkbxsGXnPfSA/nzx/P8QuDci5dUupl7iBC5l//FFiHaggEiHSVbwvsi5cVB0TCZiv/46si5fI+ltNvUqlyCKD0K5cC6nPA2V+2pVrkX9PfTtVV76WbQWk/o8K84wILNalrWVZBnlK/Ntf16dGLic2VPW9kRybRI1mtZUGor6RhCr1nLh2qOR31dfLRtPAtTHrBiwh/mXx96C+kYSZBxaRl5PLpuGryM0uXFGitN5T55ce4Nr64wCMv/TpemQE3sxnNelFE46OjuTl5bFt2zaCgoI4ePAgP/zwwxvTOTs74+bmxrhx47h37x6enp6MHj36jZ63D8HBwYH09HSuXLlCfHw8mZmZb5Xu9u3bfPfdd/j7+7Njxw6OHz/O1KlTAejQoQNNmzalV69eXLx4kZCQEO7cucOCBQvw8PDQmGfr1q1p1aoVvXv35tKlSwQHB3Pu3DnOn1e8YOfMmcOdO3eYNGkSXl5eBAQEcPr06WKTXkrCxsYGiUTC+fPniYmJISUlRa2cnp4eJiYmKkfR7ujci78jbt0F3eYdFWsnDp2KSE+f3FsKXSWj56DXZ5RCOD8PWUSIyiHPTEeenYUsIgSkihnLOed+Q7dxG3RbdUHLpizi9j3RqdeU3KtnXlcPgJAf/qLc4HaU7dcKQ6eyVP9uFNoGekQevQ5ArW0TcFxQ6PkQ6WpjXLMixjUrIhJro29ngXHNikgcbJUy1deOpEyfFjz5Zhv56VmIrU0RW5uipV/otb3/y3laTO5F1Q4NsHG2p9fG8aTFJuN7sfAH9esj82g4rKPy/J/d52gwoC11erfEyrEsXVaNQNdAD+/jCl3jAyNJCI6my+pRlK1bGfMKNnwxpguVW9bC76KizZRr4EjjkW74nLtPxa/bUWfdSGqvGkp6SAza+mLCCq67wbZvqD6/v7LswJ/PY9O2DlXGd8HIsSzOs3pjVrcywXsVPwL56VnE33lOzcWDsGxWHYMK1tj3b4V935ZEnStsry92nqXyaFfKdGvMy5O3qTSsAybO5Ym785z660aibaBPaIEOLtu+oWYRHV78fB7btnVwLNCh+qzemNetTNBeVcNKx0hCue5NCDl8rdj9tnBxosoYN0xrVMCggg32XzVn+KJR3PzjutJYBPjrlzP0ntyPhh0aU8G5IpM3TicpNpH7Fws/8pYcWYHbsK7K89Erx9OqV2u2TFlPdkYWZtZmmFmbIdYTq+hgV7EM1ZvU5MpRxQS3P3efxmFwWyr0a4mxU9l/pR6yIhJI9X2pPNKDFCsOSCMikRUsdZP523EMunVD380V7YoVMJk5HZFEX2ncmc6fh9HYwu5lw8GDEDd0QbtMGbQrVsCgfz8krp3IKliHUZ6aSn5wsMpBvhRZYiLScPVj6vLunEXHpT069Vor1k7sPhqRWI+8h+4AiHtPRLdjYZe+bpveaFepg8jcBq0yldDrMwWRmTV5noVrgebdOoN2rWbouLRHZGGLThNXtJ1dyLv3YR+JmZlZ+PoH4uuvGDIUERmDr38gUdEfZyjTpT1n6T65D/U6NKS8cwXGbJxCUkwSDy8WLpX07eEltB/aWXk+ZMUYmn7Zih+nbiYrIwsTazNMrM3QLWiT+kYSZh1cjJ5Enz2zd6JvbKCUEWlpldp7KjUygTj/l8T5q3qCPxXCpBfN/E94GOvWrcvGjRtZt24d8+bNo1WrVqxZs4ahQ4e+Me3evXsZPXo0rVu3xtbWlpUrV7Jo0aJPpmuzZs0YP348/fv3JyEhgSVLlrzV0jozZ87Ew8ODZcuWYWJiwsaNG3F1dQUUXcB///03CxYsYMSIEcTFxWFnZ0erVq2wtbUtMd/ff/+dWbNmMXDgQDIyMnB0dGTt2rWAwgN5/fp1FixYQMuWLZHL5VSpUoX+/fuXmGdRdHR02Lp1K8uXL2fx4sW0bNlSbdf5m8i7747I2BT9XsMRmZojDQskY+M85KnJAGhZ2oD83R7D/Ie3yTqwBb2uA9AaPBFZdDiZO5YhDXiqVj7m9F3EliZUmd0XPRsz0p6F8nDgWuVEGP1yVipeMz07C5peLfzidZjYHYeJ3Um8/RyPrxRj3+wLljdpdEp1QfGnU3YReUzx0rzzw1l0DfToumYU+iYGhHn4c2ToOqRFxpmZV7DFwNxYef787D8YWBrTekYfxYK4z0M5MnQdGfGKMZ2yfClHh39Hu7kD6P/LLMSGeiSFxHB6xo+8uKaYqSrNzadm96ZYVSmDSCSi4qA2IBKRERLLo0k7ySnIS1LOEnmRIQhJHgF4TthB9Tl9qT6vPxnB0dwbsZE038IXuse4bdRYMACXHRMRmxmR+TIen7W/EbK/0BsR9PN5tPV0qb1sCLrmhmRFJKAtEdP0wCxSnoVye+BapQ4G5SyhiA6JHgE8mLCDGnP6UnNef9KDo7k7YiOpvqo/KuV7NQVEhP9xp9j9luXmYd+rKdVn9UZbrEtGeCx//nKGP3efUpE79cNJ9Az0GbdmIoYmhvh6PGfl0KXkFbk/thXsMDEvXFvObYhiuZnlv61RyWv7zM24n7iqPG/XrwMJUQl431B4ve6cvUU7UxtqzO6DnrXZv1IPb0P21WtomZlhPHKEYuHuFy9ImjUbWZKim17b1haKeIlEEgkmM6ajbW2NPCeH/LAwUlauIvtqcYP1bZE+vUuuoQm67fshNjJDFhVC9oHVyqVytEytkMmK6mCEuNc4Rbd1VgayyCCyf16IPC6iME+fB+T++TO6rXoh7joCWXwkOUc3IAt784YBJfHUN4CRk+coz7/bpliKrGfnDqxaOPOD8gb4+4dTiCX6DF8zHgMTQ/wf+LJx2Aryi7RJm4p2GFkUvjPaDVFM0px7bIVKXrtnbef2iWtUrFWZKvUVPVHf3dipIjOrxfhSe0/92/xXl8T5GIjkwgjPUsfBwYFp06b9a1sjfi6kjOhQ2ipw72+rNwt9ah30tUtbBerklP5r4N0Hcnx8juilv1noEzMox6i0VQCgWdXI0lYB49Y2pa0C4qlrS1sFxjb8trRVoLJcv7RVYFHou6+j/K50q9D1zUJvwdmwvz5KPp8T/xMeRgEBAQEBAQGBT40w6UUz/xNjGD8Vhw8fxsjISO1Rs2bNj1LGzZs3NZZhZPR5eBIEBAQEBAQEFBNwPsbxX+T/tYexR48eNGnSRG3c60vJvC8NGzbEy8urRJmQN+1yICAgICAgICBQivy/NhiNjY0xNjZ+s+AHIJFIPmjZGgEBAQEBAYF/h//qDOePwf9rg1FAQEBAQEBA4BXCLGnNCAajgICAgICAgADCpJeS+H896UVAQEBAQEBAQODNCB5GAQEBAQEBAQGKb1MoUIhgMAoICAgICAgIIHRJl4TQJS0gICAgICAgIFAigodRoNT446JdaavAfUluaavA8upRpa0CQ58ZlrYKSD+DrqCT40t/KzrTJZffLPQvoOfxcdai/RBGhNmWtgpkHCz9bfl+8vi+tFXgm4azS1uFfwVhlrRmBINRQEBAQEBAQACQfQYfrp8rQpe0gICAgICAgIBAiQgeRgEBAQEBAQEBEDqkS0AwGAUEBAQEBAQEEGZJl4TQJS0gICAgICAgIFAigodRQEBAQEBAQADBw1gSgsEoICAgICAgIICw00tJCF3SAgICAgICAgIoPIwf4/hUJCYmMnjwYExMTDAzM2PUqFGkp6e/VVq5XE7nzp0RiUScOnXqncsWDMa3ZN++fZiZmX20/Nq0acO0adM+Wn4CAgICAgIC/20GDx7Ms2fPuHTpEmfPnuXGjRuMHTv2rdJu3rwZkUj03mULXdJvSf/+/enSpUtpq/HZMXz4cJKTk9/ra6XasA7U+qYrEmtTEp+HcW/RAeK9gjTKV+zWmAbf9sGovBWpwTF4rD5KxFVvAEQ62jSY3Yfy7ephVNGavNQsIm89xXP1MbJikgEwKm9FnWm9KNO8BhJrMzJjkrA+fYPz208izZMqy+k2vR/NB7ZHYmJIkIcvvy7cTVxItEa9HBtXp+PYHtjXroSZrQU/jv0e74sPVGT0DPToOWcwdTs1wtDcmITwWNz3nePm4UvF8tPv1gtJnwFomVuQHxRIxq4t5Pv7qi1b3Kwlkv5fo122HCIdHaQRL8k6+Rs5Vy8WyVCC4YixiJu1QMvYFGlMFNmnfyf77zMar+kVX8/4GrdBbhiaGPLc4zk75u8gMiRSo3yXr7vQdUhXbMsrdugI9Q/l1y2/4uHuoZRxG+RGm55tcKzliIGxAX1r9SUjNUNjnkNnDsFtoBtGpoY8f/CcrfO3l6hDtyFdi+lwePMRpQ7GZkYMmTGEBq0aYFPOmpSEFO5cuMv+9QeK5aXToD26TTojMjJFFhtO7sVDyKLUt1Gd2i3Q6zZGJUyen0vm90XCDEwQt+2HdqVaiPQNkIb7kXvxEPKkGI3X84qlS2YxauQgzMxMuHPHg4mT5/HiRXCJacqWtWPN6vm4ubbDwECfF4EhjB49A8+Hj9HR0WHF8tm4ubWjcqWKpKSkcuXqLeYvWE1UlHp9Fi6azogRAzE1NeGfux5MnbqQwMAQjeXPXzCNBQumqYT5+QXSoH575bmtrTWrVs2jXfuWGBkZEhAQxHfrtnP69Hm1eXad3pdmyufTj2NveD6rNK5Oh7HdqVC7Eqa2Fvw09nseX/RQkdkeckxt2j9WH+LMT38UC+81fQCtB3bAwMSAAA8/Di78iZgQzTs2dZ3wJS6uX2BXpRx52bm8eOjH8bUHiQ5StGNDUyN6Te9PzZZ1sSxnRVpCKg8v3uePjUfJSsvUmG9JeHg9Ye+REzz3fUFcQiJb1iyifatm75WXJnpO70/Lgnp44eHHoYU/EVvCveg84UsauDahTJVy5GbnEvjQjxNrDxETVPg8txrYgSY9W1KhZiUkxgZMrjOUrNT3q4P34XPe6cXHx4fz58/z4MEDGjZsCMC2bdvo0qUL69evp2zZshrTenl5sWHDBjw8PChTpsx7lS94GN8SiUSCjU3pbxv2X6LRksF4bfyDM24LSXweRsfDc9C3NFEra93QidY7JuL/63XOuC4k7IIn7X6ZjplzeQB0JGIsazvgveUUf7ot4tqYzZhWLkP7vTOUeZg6lkWkpcXdOXs41W4OD5YepuWgjvT8dpBSpuP4nrQZ0ZlfF/zM973mk5OVw+QDC9DR07xNmthAj5c+IRxb/ItGmd4Lh1GjdT32Td/G8g7TubrnL/otG0ntDi6qebVqi+HYiWQe3k/y5DFIgwMxWbkekamZ2nzlaWlkHTtEyoyJJE0YSfalcxjNmINug0ZKGaOxExE3bEz6d6tIGjuUrFMnMJwwFXGTkn88+nzThx4jerB93nam95hOdmY2Kw6tQLeEuoiPjmfv2r1M6TqFqd2m4n3Hm0W7F1GhagWljJ5ED8/rnhzbof5Huij9vulLzxE92DZ/G1O7TyM7K5vVh1aWqENcVDx71uxlUpfJTO46Be873iz9ZTEVC3SwsLXE0taCn1fuZlyHb1g/YyMN27gw4/vpKvloV2+MuP1A8m6dJmvPEmQx4ej3nwUGxhrLlmdnkrl1SuGxY6ZKvH6fqWiZ2ZDz+xay9ixGnpKA/sDZoCsusR6+nTWBSRNHMmHSXJq16E5GZiZ/nz2Mnp6exjRmZqbccD9FXl4+3bp/Te26bZk9ezlJySkAGBhIqF+vNqtWb6FREzf69huDc9XK/HFyr9r8ZswYzzffjGDKlAW0ad2LjMwsTp85UKIOAM+f+VG5UiPl0bFDH5X4n3/egFPVyvTtO5rGjVw5ffo8Bw/toG7dmsXy6jC+B61HdObogt2s77WA3KxsJh6YX+LzqWegR4RPKMcW79EoM6/RWJXj0Le7kMlkeJ27V0y2y/hedBzRhQMLfmRFr3nkZmUz48CiEnVwblKTKwfPs/LLeawfsgxtHW1mHliMWKKoOzNbc8xsLTi2+gALO03nl1nbqd26PiPWTdCY55vIysrG2bEyC2a+fx4l4Ta+F+1HdOHQgp9YXfCunP7GeqjBtYPnWf3lPDYOWY62jjYzDixS1gOAWKLH0+uP+HvnyU+i95uQy+Uf5cjJySE1NVXlyMnJ+SDd7t69i5mZmdJYBOjQoQNaWlrcu1e8rb4iMzOTQYMGsWPHDuzs3n9L3v/XBuPZs2cxMzNDKlV4l7y8vBCJRMydO1cpM3r0aL7++utiXdJLly6lXr16HDx4EAcHB0xNTRkwYABpaWnvpUtSUhJDhw7F3NwcAwMDOnfuTEBAgDI+NDSU7t27Y25ujqGhITVr1uTvv/9Wph08eDDW1tZIJBKcnJzYu1f9S78oISEhiEQijh49SrNmzdDX16dWrVpcv35dRe7Zs2d069YNExMTjI2NadmyJYGBgSxdupT9+/dz+vRpRCIRIpEId3f3t75m/yPXePHbDVICIrk7dy/5WTk4DWitVrbGKFci3B/z7Ie/SHkRyaPvT5D4NITqIzoCkJeWxcWB6wj58x6pgVHEPQzkn4UHsKpbGcOylgBEuD/m9oyfiLzxlPSwOMIvPeTyz39Sz62xspx2I7twfttJHl/yIMI3jP0ztmNqa07dTo3U6gXw3N2LPzccw/vCA40ylV2qcu/36wT885zEl3Hc/vUKET6hONR1VJGTfNmP7HNnybl0DmlYKOnbNiDPyUa/k3rvdt4TL3Lv3EQaHoosKpLs078jDQ5Ct2ZtpYxO9ZpkX75A3hMvZLHR5Jz7E2lQIDrO1TXqC9BrVC+ObjvKP5f+IcQ3hA3TN2BpY0nTTk01prl/+T4e1zyIDIkkIjiCA98fIDszm2r1qyllTv9ymuM7j+P7UL3X9HUdft12lLsX/yHYN4Tvpq3H0taSZq6ajd17l+/x4NoDpQ77vtuvokOoXygrxq3i3uV7RIVG4X3Hm33f7adJhyYgKnwl6jZ2I9/7OvlPbiJPiCT3/D7k+bno1mlVgsZy5BkpyoPMVGWMyMIW7XKO5FzYjywqGHliNLnn9yPSEaNTQ3OdAkyZPJrVa7bw558XefLEh+EjplK2rC09e7pqTDP72wm8fBnJ6DEzeODhRUhIOJcu3yAoKBSA1NQ03LoM5MSJP/H3D+Te/YdMmbqQhi51sbcv7qmYOGkk363bxl9nL/H0qS9jRs+gTBlbunfvVKLu+VIpMTFxyiMhIUklvskXLvywaz+eHt6EhITz3brtJCenUq9+rWJ5tR3ZhQvbTvLkkgeRvmEcmLHjrZ7PsxuO8biE5zMtLkXlqN2xIQF3n5EQHltMtuPIbvy57QSPLj3gpW8oP8/YhrmtOQ06NVaTs4KNw1Zy+8Q1IgPCCfcJ5ZdZ27Eqb41D7SoARPiHs+Ob7/G+4kFcWAw+d5/y+/oj1GvfEC3t9/uZbtm0EVPGDqND6+bvlf5NdBjZlbPbfseroB72zNiGma059Uuoh83DVnHnhDuRAS956RPKnlk7sCxvTcXalZUyl/f8xbldpwh6FKAxn/8F1qxZg6mpqcqxZs2aD8ozOjq6mONKR0cHCwsLoqM1e3anT59Os2bN6Nmz5weV///aYGzZsiVpaWk8evQIgOvXr2NlZaVi9Fy/fp02bdqoTR8YGMipU6c4e/YsZ8+e5fr166xdu/a9dBk+fDgeHh6cOXOGu3fvIpfL6dKlC3l5eQBMnDiRnJwcbty4wZMnT1i3bh1GRkYALFq0iOfPn3Pu3Dl8fHzYtWsXVlZWb132t99+y8yZM3n06BFNmzale/fuJCQkABAREUGrVq3Q09Pj6tWreHp6MnLkSPLz85k1axb9+vXDzc2NqKgooqKiaNbs7bs8om4+KzyRy4m69QxrF0e1stYujkTdfKoSFuH+WKM8gNhEglwmI7eE7gyJsQEZyYoBw5b2NpjamON7+7EyPjstixCvF1RuUPVtLkkjQZ7+1OnggqmtOQBVm9bEplIZfG4WloWODjpOVcnz8iwMk8vJ8/JEp3pxb4s6dOs1QLu8PXlPC/PN93mG+IvmaFkq2oRunfpolbMn96HmH1C7CnZY2FjgdctLGZaZlomflx/VXUo2NF+hpaVFq+6t0Jfo4/PQ563SvK6Dpa0FD28+UtHB18uP6g2qlZBSVYfWPVqjJ9HHpwQD1dDYkMz0TJDLChJqo2XngDS4SBtFjjTkGVrlNLc5xPpIJmxAMnEjer2nIrIqVxinXeB5yc9TyVMuzUOrvJPGLCtVqkCZMrZcuXpLGZaamsb9+4/4oomLxnTdunXC0/MxR3/9kciX3jy4f4FRIwdplAcwNTVBJpORnJyqEu7gYI+dnQ3Xrt1W0eHBAy+aNGlQYp5VqjjwIvAeT5/dYM+ezZQvr2qM3vvHk959umFubopIJKJPn+7o6+tx88Y/KnKFz+cTZdir59Ohgeb6e1eMrUyp1bY+d49dKxZnbW+LmY05z4q8I7LSMgn0CsCxgfNblyExNgAgI1mzg8HA2IDs9ExkUtk7aP/vYGVvg5mNOT6v1UOQVwBV3uFdaaCsh7ebtPFv8LEmvcybN4+UlBSVY968eWrLnDt3rtLpounw9X3zB7Y6zpw5w9WrV9m8efMH1IqC/9djGE1NTalXrx7u7u40bNgQd3d3pk+fzrJly0hPTyclJYUXL17QunVrbt++XSy9TCZj3759GBsruqiGDBnClStXWLVq1TvpERAQwJkzZ7h9+7bS4Dp8+DD29vacOnWKvn37EhYWRu/evaldW+E5qly58IssLCyM+vXrK93UDg4O71T+pEmT6N27NwC7du3i/Pnz/PLLL8yePZsdO3ZgamrK0aNH0dVV/OBVrVr4QpBIJOTk5LyXmzsrPkX1PC4F0yrqx1ZIrM3IilP9EcuKT0VibaZWXltPF5f5Awg6dZe89Cy1MsYOtrQZ1pmTqw8CYFqQV2qcql6pcSmYaCjnbflt6R4GrRnHmns/Is3LRyaTc2Tej7y47wMF9peWiSkibR1kSaoeGFlSErrlK6jJVYHIwBCLQycU3ZoyKek7NpP3qHCMVvquLRhNmYXFod+R5+eDXEb6lvXkFzEqX8fcWmHYJsWr6pIcn6yM04SDswMbTm1ArCcmKyOLFWNXEB4QXmIadVgUlJP8ug5xSVjYvEGHag5sPrVRqcPyMSsICwhTK2tibsKgqQM5d+QcPQrCRAbGiLS0kWeqtgV5RgpalurbqCwxity/fkEWGw56EnSbdEYyZCFZu+cjT0tCnhCFLCUecZu+5JzfC7k56DZ2RcvEEpmRmcZrsbNVeBRiYuJUwmNi47Gz0zxMpnKlCowbN4TNW35m7bqtNHSpx+ZNy8nNy+PgwePF5PX09Fi9ej5Hj50iLS0dPZ3CrkVbW2sAYmNVdYiNjcOmIE4dHg+8GDd2FgEBQdjZ2TBv/lQuXf6NRg1dSU9XjFsdMmQSBw5s52WEN3l5eWRmZjFwwDiCgkJpbVP4Xnn1DKa99nymfYTnsyhNercmOyMbrwv3i8UVviOSVcJT41KUcW9CJBIxcPEI/B/4EOGv/rkwMjem++S+uP96+V1U/9cwLXg2P7Qe+i8eQcADHyI11ENp8LGW1dHT03vjcI1XzJw5k+HDh5coU7lyZezs7IiNVfV65+fnk5iYqPE3+OrVqwQGBhabtNu7d29atmz5Tr2C/68NRoDWrVvj7u7OzJkzuXnzJmvWrOG3337j1q1bJCYmUrZsWZycnNQajA4ODkpjEaBMmTLFbubb4OPjg46ODk2aNFGGWVpa4uzsjI+PwjMzZcoUvvnmGy5evEiHDh3o3bs3derUAeCbb76hd+/ePHz4kE6dOtGrV6938vQ1bVrYHaajo0PDhg2V5Xp5edGyZUulsfi+5OTkKMdviEQijI2NyZd/mi9nkY42rX+YjEgk4p95+9TKGNiZ0/mPxYglYnovGkbvRcPYNfLDugtKos2wzlSq58SuUetIjIjDsXF1+i8fRXJMEiS+ecJDScizMkmaOBqRRIK4XgMMx0xAFhVJ3hMvACQ9vkKnWg1Sl85DGhONbu26GE6YhiwhXunNbNOrDZPXTFbmuWT4kvfW52XQSya5TcLQxJAWXVowc+NMZveb/UajsW2vtkxdW6jDog/RIfAlE9wmYmBsSMsuLZi1aSbf9p1dzGg0MDJgxf5lhAWEcXDjIXqMtXzvMmURgcgiApXnOREvkIxdg079tuTdOAkyKTkntyHuMhLD6buQy6RIQ56RH+gNFM5cHDjwS3btWKc879Fz6Hvpo6WlhafnYxYuUvR6eHk9o2ZNZ8aNGVLMYNTR0eHorz8gEomYOGleMR16fzXyvXS4eNFd+f/Tp748eOCFj+8tvurdlQP7fwNg0eIZmJqZ0LXLIBISkujWvRMHDu5gw4adLJw7TZl+18j36715V77o1waPU7fIz8mjYc8WDFg9Whm3eeTqD87/6xVjKO9cgdV9FqiN1zeSMG3vfCJfhHN685vH+f4biPSM2P7soPJ860d4Vw5eMZpyzvas67Pwg/P6X8fa2hpra80fXq9o2rQpycnJeHp64uKi6F24evUqMplMxX4oyty5cxk9erRKWO3atdm0aRPdu3d/Jz3/3xuMbdq0Yc+ePXh7e6Orq0u1atVo06YN7u7uJCUl0bq1+jF1QDEjSiQSIZN9GiNo9OjRuLq68tdff3Hx4kXWrFnDhg0bmDx5Mp07dyY0NJS///6bS5cu0b59eyZOnMj69es/uFyJRPIRtFeM51i2bBmgqLfMzEyeG6VQ1FcjsTYl6zXvwSuy4pKRWKtOiJFYmZD12heuSEebNj9Mxqi8JRf6rVHrXZTYmuF6fD5Rd55xcPNR5ReljlhxP02sTVW+nE2sTXn5POTdLrgIunq69Ph2ID+N+56n1xTdqxG+YZSv4UCHsd1hrcKLIEtNQS7NR8tc1XumZW6OLClRcwFyObKoCACygl6gbV8RSf/BCoNRLMZg2BhSVywk74Gii08aEoROZUckvfsrDcZ7l+7h98hPRWcAcytzkmILPXxmVmYEPdc8kx0gPy+fqFDFjNEXT17gVNeJniN7sn3e9hLT/XPpH/y8CrtddAvuh5mVOYlFdbA2J/BZYLH0r+sQGVKog3PdqvQa2ZOt87YpZSSGElYdXEFWehbLxqxAml84U16emYZcJkVkYKqSr8jQFHm6+jZaDJkUWXQoWua2hUHRIWTvWQx6EtDSgaw09IctRhZVONv5zz8vcv9+YTe8np5iQoytrTXR0YUfpLY2Vnh5F+0yVyUqKpbnPv4qYb6+L/jqS9XxsK+MxQoVytOxUz/S0tL588+LeHkWdv2+0sHGxpro6EIvo42NNU8eP3+r6gBISUnlxYtgqlR2ABTd7d98M5yGLh3x8VGMWXvyxIfmzRrh6FiJNV1mF+pZ0B6MX3s+jT/w+SxKlUbVsKtSjr2Ttih0ueyBT5E2WfiOMCPltXdE+Fvo8PWy0dRr58KafotIii7+TOsb6jNz/0Ky07PZNu47lTZZmshzM1j+1XLluY5YYTq8bz0MWjaKOu1c+K7fYrX1UJp8zju9VK9eHTc3N8aMGcMPP/xAXl4ekyZNYsCAAcoZ0hEREbRv354DBw7QuHFj7Ozs1HofK1SoQKVKld6p/P/XYxihcBzjpk2blMbhK4PR3d1d4/jFj0n16tXJz89XmeWUkJCAn58fNWrUUIbZ29szfvx4Tp48ycyZM/n555+VcdbW1gwbNoxDhw6xefNmfvrpp7cu/59/CscK5efn4+npSfXqin7SOnXqcPPmTeVYytcRi8XKSUMlUXQ8R3x8PCKRiB4di/xwiUSUaVGTOM8XatPHeb6gTAvVcXxlW9VSkX9lLJpUsuVC/7XkJBUfF2NgZ47biQUkPA7h1uRdxIZEExcaQ1xoDFEBL0mJTcK5WeGEEX0jCQ71HAl66F8sr7dFW1cHHbEOste6OmQyGVpF18TKzyc/wB/dekXGpYlE6NZrQL6PZsOgGFpaiAo+ZkQ6Oor/XytbLpOBVuHjn5WRRVRolPII8w8jMTaRus3rKmUkRhKc6znj4/lu4xG1RFpK468ksjKyiAyJUh6h/mEkxCRSv0U9pYyBkQHV6jmXOB5RHSItkcrMagMjA1YfXkVeXj5LRi4jL+e19i2TIosOQduhRtFc0K5YA1mE+jZavFARWjblkacnF4/LyYKsNETmtmjZVUIaUGggpqdnEBgYojyeP/cnKiqGdm1bKGWMjY1o3Lg+/9zzLJ53AXfuPsC5ahWVsKpOlQkLi1CevzIWHR0r4erWn8TEJKUOQUGhysPHJ4Do6FjatCnsuTA2NqJRo3rcu/fw7eoDMDQ0oFKlikrD18BA8UH6+oe2VCpDKpUSHxqjPKJLeD5DHn6cCRJN+7cl7HEgET6KiUE5GdnEhkYrj8iAcJJjk6jxmg5V6jnx4qGfpmwBhbHYwLUx3w1aSvzL4j1R+kYSZh5cTH5ePltHryH/9TZZmsjlr9XDS5Jjk6j+Wj1UrudE4BvelYOWjaK+a2PWa6iH0kb+kf4+FYcPH6ZatWq0b9+eLl260KJFC5Xf+7y8PPz8/MjM/PhLEf2/9zCam5tTp04dDh8+zPbtCg9Iq1at6NevH3l5eSV6GD8WTk5O9OzZkzFjxvDjjz9ibGzM3LlzKVeunHJW07Rp0+jcuTNVq1YlKSmJa9euKY26xYsX4+LiQs2aNcnJyeHs2bPKuLdhx44dODk5Ub16dTZt2kRSUhIjRyq6oCZNmsS2bdsYMGAA8+bNw9TUlH/++YfGjRvj7OyMg4MDFy5cwM/PD0tLS0xNTdV2X6sbz1FtUFsSH4cQ/yiQGmPc0JHoEXBMMUO7xZZxZEYl8XCtotvq+S8X6HxiATXHdeblZS8q9WyKZZ3K3JmtWCpDpKNN25+mYFnbgcvDNqClrYXEWuEdyklOR5YnVRqL6S/j8VhxBH1LE0x0c4HCcYtX9/xN58lfERsSRUJ4LN1nDiAlJkllXcUphxfhfeE+1w9cUFybgR7WDoVfcJb2NpSvUZGM5HSSIhPITs/C/59nfDXva/Kyc0l8GYfTFzVo8lVrfl+5n45F6iTrj98wnjmP/ABf8v180e/VB5GehOxL5wAwmjkfWUIcmfsUHwuSfoPJD/BDGhWBSFeMuFET9Np1In37RgDkmZnkPX6E4ajxZOTkII2NRrd2PfTbu5Lx844S28WpX04xYMoAIkMiiQmLYcisISTEJnD34l2lzOpfV3Pn/B3O7j8LwPA5w/G45kFsZCwGhga06dWG2k1rs2jIImUac2tzzK3NKeug+CJ2qOZAVnoW0RExpL02+P3UL6cYOHkAEcERRIfHMGzWEBJiErhz4Y5SZu2va7hz/g5n9v8JwIg5w3ng7kFcRCwSIwPa9mxDnaZ1WPC1ouvrlbGoJ9Hju6nfY2BsoBx8j0ikNK7z7p9Hr9sYZNHBSCOD0G3kikhXj7zHNwEQdxuLPC2JvOuK7l3d5j2RRQYiS4pBpGeA7hddEJlYkedVuOqAdrVGCu9lagJa1uURdxiM1N8TabDqhK7X2bptN/PnTSHgRRAhIeEsW/otkZExnD59QSlz8fwxTp0+x85d+wDYsuVnbt44zdw5kzl+4k8aNarH6NGDGT9B4bXT0dHht2M/Ub9ebXp+OQxtbW3lWMXExGRe/83bsX0Ps+dM5kVgCKEh4SxaPJOoqBj+/LNwzc+//jrMmT8v8OMPijUtV6+ez99/XyEsLIIyZWxYuHA6UqmU48cVa4D6+QXy4kUwW7etZv781SQmJNG9eyfatW9Bn94jeX2u9rU9f+M2+UviCp7PrjP7F3s+Jx9eiPeFB9woeD7Fap7PcjUqklnwfL5C30hC/S5f8Meqwq5XdVzac5buk/sQExJFfHgsX84cSFJMEg8vFo55/PbwEh5euM+VA4rndsiKMXzRsyVbx6wlKyNLOeYyKzWTvJxc9I0kzDq4GLG+Hj9N24K+sQH6BW0yLSG1mA5vQ2ZmFmEvC9c3jIiMwdc/EFMTY8qUMPb1bbm85y+6Tu6trIdeMweQHJPEoyL1MPPwEh5euMe1A4o1NQevGE2Tni3ZPmYd2RnZxeoBFF5LU2szbCoq7ll554pkZ2SRGBH/wTr/F7CwsODIkSMa4x0cHN44DvN9x2n+vzcYQTGO0cvLS+lNtLCwoEaNGsTExODs/PYz3z6EvXv3MnXqVLp160Zubi6tWrXi77//VhpfUqmUiRMn8vLlS0xMTHBzc2PTpk2Awss3b948QkJCkEgktGzZkqNHj7512WvXrmXt2rV4eXnh6OjImTNnlLOsLS0tuXr1Kt9++y2tW7dGW1ubevXq0by5YqmGMWPGKCcNpaenc+3atbf2yj5Y8Sv1Z/VWLNz9LJRLX39Hdrzi5WhU1gpkhY06ziOA65N20mB2XxrM6UdqcDRXR20i2e8lAIZ25lRwVXjmel5SHWd0vs8qou/6ULZVLUwq2WFSyY5+noquyf4FMhMc+gFw6YfT6En0GLRmHAYmBgQ+8GX7sNUqX/vWFW0xsijsHq9QpwrTjy5VnvdZNAyAuyfcOThrJwB7Jm+m5+xBjNg8BQMzIxIj4jjz/a/cPHSJjkVs+9wb18gwNcPg65FoWViQH/iC1EXfIk9WeH60bWwKZ/ICIn19jCZOR8vKGnluDtLwMNK+X0nujcIZnqlrl2M4fCxGsxeiZWyCNDaajP27yf7rdIn358SuE+hL9Jm8ZjJGJkY883jG4iGLVbxxZSqUwdSisNvW1NKUmZtmYmFjQUZaBsG+wSwasohHRWY6d/m6C4OnD1aef3/iewDWz9jApeOqg/x/23UcfQN9pq6dotDhwTMWDFmkqkPFMpgUuR9mVmZ8u2kWFjYWZKZlEOwTzIKvFypnWzvWqqKcZb3vlurafJk7ZyJPUfwwSX3uk2tggm7LrxAbmiKLDSP7t/XKpXK0TCyQqdwLQ8SdRyi6rbMzFN3PB1cgTyj80RYZmSFuP7CgazuZ/Ke3ybtV8n0A+H79TgwNDfhh53eYmZlw+/YDunb/WmVdt8qVK2JlZaE89/D0pk/f0axcOZeFC6YRHBLOjJlL+PVXxULU5crZ0aO7Ylmehx6qC8i379CHf+6oLm69ceMPGBhK2L59DaamJty984BePYep6FCpckUsLQt1KFuuDPv2b8XCwoz4+ETu3PGgbZsviY9XdEPm5+fz1ZcjWL5iDieO78bQyJCgwFDGjpnJhQvujLBRHZd1+Ycz6En0GLhmLBITAwIf+LFzmKo3zqqiLUYWhWPLK9apwtSjheNhexc8n/+ccOfQrF3KcJfuzRCJRHicKT5evSh//3AKsUSf4WvGY2BiiP8DXzYOW6Gig01FOxUd2g1xA2DusRUqee2etZ3bJ65RsVZlqtRXTCb87sZOFZlZLcaXqI8mnvoGMHLyHOX5d9sUXqienTuwauFMTcnemvM/nEJPosfQNeMwMDEk4IEvm4etLPauNC7ybLYtqIfZx5ar5LVn1nbunHAHoM3gTvSY1k8ZN+f4CqXMv8HrPUEChYjkwk7b/28JCQmhUqVKPHr0iHr16v3r5e8r9/W/Xubr3C/wMJYmy6t/2KSXj8HQZ4alrQLSz+BVdHJC6S/Ob7rk85gZW3SWdGnxusFYGmSQX9oq8JPH96WtAt80nP1moU/M7pATn7yMmrYfp809i9G8kPb/KoKHUUBAQEBAQEAAwcNYEv/vJ718CsLCwjAyMtJ4hIWpXw/uY7N69WqNOnTu3Plf0UFAQEBAQEDgfx/Bw/gJKFu2LF5eXiXG/xuMHz+efv36qY2TSCSUK1fuoy1SKiAgICAg8L/Op5zh/L+OYDB+AnR0dHB0LGH7sH8JCwsLLCws3iwoICAgICAgIHRJl4DQJS0gICAgICAgIFAigodRQEBAQEBAQAChS7okBINRQEBAQEBAQAChS7okhC5pAQEBAQEBAQGBEhE8jAICAgICAgICCF3SJSEYjAICAgICAgICgLzIdp8CqghbAwqUGjvtS39rwADt0t/2q1mOdmmrwD290n9Jln4tgN5nMEqnRZa0tFUA4Gf9rNJWAXuRpLRVwFxe+i0zVJTzZqFPzC6P70pbBXStKn/yMipZ1v0o+QQneH+UfD4nBA+jgICAgICAgAAgE7qkNSIYjAICAgICAgICIOx+VgKCwSggICAgICAggOBhLInSH7AjICAgICAgICDwWSN4GAUEBAQEBAQEELqkS0IwGAUEBAQEBAQEEHZ6KQmhS1pAQEBAQEBAQKBEBA+jgICAgICAgADCTi8l8U4exjZt2jBt2rSPUvDw4cPp1avXR8lLHdHR0XTs2BFDQ0PMzMw+WTkCAgICAgIC/w3kcvlHOf6L/Gc9jJs2bSIqKgovLy9MTU1LW53/LA4ODkybNu29PyQazexNjYFt0TM1IOqBPzfm7yUlJKbENLWGdaDeuK4YWJuS4BPGzcUHiPUKUsbXGNQWp17NsK7lgNhYwu6aY8lNzVTGl/2iOr2OL1Cb98Ye8wl/HITb9L40HdgOfRNDQjz8OL7wF+JDojXqVLlxNdqN7U752pUwtbXgl7HreXrRQ0Vm4PpvaNyntUqYz3Uvss574TyhK/rWpiQ/D+PRgv0kFbme1ynfrTE15/TFsLwV6cExPF75K9FXVXcVMHYqS50FA7BuWh2Rjhap/hHcGb2FrIgEABp8NxLblrWQ2JqTn5lN9Yf+/LX2V+ICI1XycZ3ehyYD2yExMSTYw4+TC/e8sR7ajO1GudqVMbU1Z+/YDTx7rR6K0nvVKJoO7sDp5Qe4s+ecWpmO0/vQuECHEA8//li4h4QSdKjUuBqtxnajfO3KmNias3/sBp6/pkOHab2p270pZmUsyc/LJ+JJMBfWHyPWK1hjvkVpN703LgPbom9iSJiHP38u3ENiCe22YuNqtBjblTK1K2Fia86RsRvxvej5VmUB2I/ohMOE7ohtTEl/HobP/L2kPgpUK2voXB7H2X0xqVMZSQVrfBftJ+wn1bqtNKUnNl0aY+hUFll2LskP/PFfcYTMwKgS9eg/YxDtB3bE0MQQXw9ffl6wi+gQzWl6TehNE7emlKtSntzsHPw8fTm89gCRQREqclUbODPw269xrFcVmVRGyPNgVg1ZCrnF83Sb3pcvirTJE2/xbLYt8mzuUfNsDlDzbPpe9+KnYWsBaD2jN/UL7ne4hz/nFpR8vwEaDu1I07FdMbI2JcYnjPNL9hPpXfhcG1qb0mH+ICq3qIXYSJ+EoChubT+N77kHxfLSEesw/9QaKtSoxLIuswh/HkLP6f1pObADBiYGvPDw49DCn4gtoR46T/iSBq5NKFOlHLnZuQQ+9OPE2kPEBBU+860GdqBJz5ZUqFkJibEBk+sMJavIu/Nd8fB6wt4jJ3ju+4K4hES2rFlE+1bN3js/gdLlPzuGMTAwEBcXF5ycnLCxsXnn9Hl5eZ9Aq/8Oublq3uTvSP1vulFnRCeuz9/D792XkJ+VQ7dDc9DW09WYxrF7E5ovGozH5j843mUh8c/D6HZwDhJLE6WMjkRMmPtjPLefUZtHtKc/extMZG+DiSxuNI7FjcZx99crJITFEP44iHbje9BqhBvHF+xmc6+F5GTlMP7APHRK0EtsoE+ETyi/L95b4jX7uHspy1zcaBxeZ/+h7tLBPN9wkkuuC0l5HkarX+eiV+R6imLZ0IkmuyYRfMSdS50WEHHeg+Z7Z2DiXF4pY1jRhranFpP6Igr33iu52G4ezzedQpZd2KaTHgfzYPpPnG/1LTcGrkOEiLEH5iHSEill2o7vTosRbvy+4Be29lpEblYOYw7MfUM96BHpE8Yfi/eUWA8AtVwbUqG+IynRiRplWo/vTvMRbvyx4Be2F+gw6i10iPIJ41QJOsQHRXF68T42uc7hhz7LSHoZx+gD8zGwMH6j3i3Gd6PJCFf+XLCXn3otJjcrh6FvoVO0Txh/Ld73xvxfx7ZnU5yXDSFwwwn+6TiPtGehuBydh9hKfRvRlojJCo0lYNURcmKS1MqYN61O+N6L3OuyCI++qxDpaONybD7aBnoa9eg5/is6D+/KT/N3Ma/nt+RkZrPw4FJ0S7jumk1qceHA38zv9S0rvl6Cjq4OCw8uRU9SWE7VBs4s2L8E7xtezOsxi3k9ZnF+/1/I1Ozp2258D1oWeTZzs3IY9xbPZqRPKCff4tlc0mic8jg4eRsAzcZ3o/FwV/6ev5c9PReTl5nDoINzS3xP1ej2BR0XDubGlpP83G0hMT5hDDo4F4Miz3XPjd9gWbkMx0Zv4MdOc/E970HvHVOwq1mxWH595g0hpci9dBvfi/YjunBowU+s7jWfnKwcph9YVGI9ODepwbWD51n95Tw2DlmOto42Mw4sQlzkXoglejy9/oi/d54ssa7elqysbJwdK7Ng5oSPkt+/gQz5Rzn+i7y3wXjw4EEaNmyIsbExdnZ2DBo0iNjYWBWZZ8+e0a1bN0xMTDA2NqZly5YEBqr/Kn7w4AHW1tasW7furcrftWsXVapUQSwW4+zszMGDB5VxDg4O/P777xw4cACRSMTw4cPfmJ9IJGLXrl306NEDQ0NDVq1axb59+4p1Z586dQqRqPBHdenSpdSrV4+DBw/i4OCAqakpAwYMIC0t7a2u48SJE9SuXRuJRIKlpSUdOnQgIyMDUD8EoFevXirX4+DgwIoVKxg4cCCGhoaUK1eOHTt2qL22zp07I5FIqFy5MidOnFCRefLkCe3atVPqMXbsWNLT05Xxr4YQrFq1irJly+Ls7EybNm0IDQ1l+vTpiEQilXp5G+qMcsNz22lCLj4kwTecK9N+wNDWjEquLhrT1B3Tmee/XsP3txskBURyfd5e8rNzqNa/0Dvw+JcLPNr5JzEPX6jNQ5YnJSsuhay4FNLiUshISqdWx4bcO34dgNYjO3Nx2x88veRJlG8YR2bswMTWnNqdGmrUy9fdi3MbfuPJheLegaLk5+aRVlBuWlwKzQZ3IPjwNUKO3SDNPwLP2XuQZuXgMLC12vROo92IvvYY/11/kRYQybPvTpD0JATHkZ2UMrXm9iP6qjdPVv5K8tNQMkJjibr4kJyEVKVM8KFrxP/jS+bLeJKfhHB+w2+Yl7PCory1UqblyM5c3vYHzwrq4eiMnZjYmlOrxHrw5vyG33h6QbNXEcDE1pxeS4dzZOoOpPma905uMbIzV7f9wfNLnkT7hvFbgQ41S9DBz92bixt+41kJOniducOL209JDI8lJuAlZ1ceQt/EALtqFUrUG6DpSDdubDuF7yVPYnzDOTljF8a2ZlTrpLndBrh7c2XDcXzeUC/qcBjflZeHrhJ59DoZ/hE8/3Y30qxcyg5so1Y+1SsI/+WHiT51F1mO+r3SHw5cS+Sx62T4vST9eRhPp+5CYm+NSZ1KGvXoOqo7v28/jsel+4T5hrJ9xmbMbSxo1OkLjWlWDVuG+4mrvAwIJ9QnhB0zt2Bd3obKtasoZYYtGsXf+85yatfvvAwIJzIogrt/3SY/t7jurUZ25lKRNvnq2Sy5Tb7fs5mVqngPNx7lxs3tp/C/5EmsbzinZ+zC2Kbk+/3F6M48OnoN7+M3iA+I4K/5e8jLyqFev8Ln2t7FiQf7LhLpHURyeBy3tp0iOzUDu9qq96BKm7rUbFmX31YdUIZ1GNmVs9t+x+vSA176hrJnxjbMbM2p36mxRp02D1vFnRPuRAa85KVPKHtm7cCyvDUVaxfuz3x5z1+c23WKoEcBJdbV29KyaSOmjB1Gh9bNP0p+/wZCl7Rm3ttgzMvLY8WKFXh7e3Pq1ClCQkJUDJmIiAhatWqFnp4eV69exdPTk5EjR5KfX/wlcPXqVTp27MiqVauYM2fOG8v+448/mDp1KjNnzuTp06eMGzeOESNGcO3aNUBhfLq5udGvXz+ioqLYsmXLW13T0qVL+fLLL3ny5AkjR458u4pA4c08deoUZ8+e5ezZs1y/fp21a9e+MV1UVBQDBw5k5MiR+Pj44O7uzldfffXOje3777+nbt26PHr0iLlz5zJ16lQuXbqkIrNo0SJ69+6Nt7c3gwcPZsCAAfj4+ACQkZGBq6sr5ubmPHjwgOPHj3P58mUmTZqkkseVK1fw8/Pj0qVLnD17lpMnT1K+fHmWL19OVFQUUVEld2e9jqGtGeE3nyrPc9OyiPEKxK6Bk1p5LV1trGtX4uWtZ4WBcjkvbz7DzsXxncouSq0OLhiaG3P/uDuW9jaY2Jjjf/uJMj47LYtQrxc4NKj63mW8wvGLGiz3+JF5VzbSd/VoyteqREyROkAuJ+bmUyxd1NeBZUNHYovKA9Huj7F8df0iEWU61CMtKIqWv86h+5OdtPtrGWXdNP+4aUv0aNS3NQlhMSRHKbqsLQrqIeB2YVnZaVmEeQVSUcP9eVtEIhGDNk3E/aezxAS81CinSYdwr0AqfKAORdHW1abJwHZkpWYQ7RNaoqy5vTXGNuYE3i5sgzlpWUR4BWL/EXV6hUhXG+M6lUi4WdgekctJvPEEs4Yf3h5foWNsAEBecrraeBt7W8xtLHhyq3DoQ2ZaJi+8/HFu4PzW5RgUlJNeUI6JpSlVGziTkpDCypPr+NljP8uOraJaw+rF0lpoeDbDPuKzuczjR+Ze2UjvlaMwMDPCwt4GYxtzgm8Vv9/lSnhPlaldieBbqs918K2nlC+SJtwzgBrdv0Df1BBEImp2/wIdPV1C7/ooZQytTOi2djS7p28jNzsHADM7C8xszPG5/Vgpl5WWSZBXAFXeoR5e3YsMDfdcQOB13nsMY1GDqnLlymzdupVGjRqRnp6OkZERO3bswNTUlKNHj6Krq3CTV61avDH/8ccfDB06lN27d9O/f/+3Knv9+vUMHz6cCRMUbu4ZM2bwzz//sH79etq2bYu1tTV6enpIJBLs7Oze+poGDRrEiBEj3lr+FTKZjH379mFsrOjOGjJkCFeuXGHVqlUlpouKiiI/P5+vvvqKihUV3RC1a9d+5/KbN2/O3LlzAUUd3759m02bNtGxY0elTN++fRk9ejQAK1as4NKlS2zbto2dO3dy5MgRsrOzOXDgAIaGhgBs376d7t27s27dOmxtbQEwNDRk9+7diMViZb7a2tpKL/P7kBWfqnoel4qBjfoxp/oWxmjpaJMZl/JaHimYO5Z5r/IBmvRvi+8Nb1KiE5U/POmvlZEel4Kxtdl7lwGKMVGPz98nMTwWy4q2dJ87CG0dbbITVOsgOy4VY8eyavPQtzYj+zXdcuJS0LdR6KZnZYKukYRqk7rzdN1xHq88il3bOjT7ZRrufVYRf9dXma7KsA7UWTQQHUN9YgMj+Onr1UjzFN4+Y2vFPUj7BPXQ9pseSPOl3Np7vkS5Vzp8insBUK1dfQZtm4KuRExabDK7v15NZlLJP55GBeWq08noI+j0OmILE7R0tMlVc88Nncp9nEJEIqqtHEbSPV/SfdUb8GY25gAkxyerhCfHJ2Nmbf6WxYgYvmQ0vg+eE+4fBoBtBcW7pd+0ARxYtY+Q50G0/qodi4+sYEanyRBaWJ5JQf2+3ibTPtKz+aTIs9nl2wGM3TeX0ysVXr2MeNUyM+I1328Dc8V7Kr1YmlSsqhQ+179P3Erv7ZP59vFPSPPyycvK5fjYzSSFFo6N7LFhPJ6HrxD6JBDLAu+/kbnidyY1Llkl/9S4FEzfsh5EIhH9F48g4IEPkf7hb5Xm/wvCOoyaeW+D0dPTk6VLl+Lt7U1SUhIymWK8SVhYGDVq1MDLy4uWLVsqjUV13Lt3j7Nnz3LixIl3mjHt4+PD2LFjVcKaN2/+1p5ETTRsqLlboyQcHByUxiJAmTJlinXPq6Nu3bq0b9+e2rVr4+rqSqdOnejTpw/m5m/3An5F06ZNi51v3rz5jTJeXl6Aoj7r1q2rNBZBUZ8ymQw/Pz+lwVi7dm0VY/FdyMvLQ0ensLllZmaqlFdatBjmSvU29cjPyWPts338PPLthkS8D4/+vKv8P8ovnLTYZKadWolF7UokPvg4XUCvxiBGnn9IwE8KgyzlWShWDZ2oMqS9isEYevI2MTeeoG9rjtPyr5lzbRN52Yqxqb+M/O6j6PM65WpVosUINzZ3nV8srl7P5ny1erTyfO8n0uEVgXefs6XLXAwtjGk8oB2Dd0zl515LyChiwNfp2Yzuq0cpzw+P/P6T6lQaVF87EiNne+73WKIMs+vdnIPfF96LNSNWfHA5o1eMw75qBRb1macME2kpOrkuHb6A+/ErAIQ8+4XazeswdOEI6jSrq5Td/QmfTa+CZ7NBz+b0XT0GkUiE2EAP+zrv33PxJtrM7IO+iQEHB60mKzEN504N6b1jMvv7riDWL5xGw10RG+qT8jKO7c8OKof8aGtrf3DZg1eMppyzPev6LPzgvP5r/Fe7kz8G72UwvurCdHV15fDhw1hbWxMWFoarq6tyMoREInljPlWqVMHS0pI9e/bQtWvXEo3Lf4PXDRgtLa1ijUfdZJjX9RaJREoDuiS0tbW5dOkSd+7c4eLFi2zbto0FCxZw7949KlWq9Nbl/1t8iIH3/fffs2dP4SQEPT09nj17hsTKhMzYZGW4xNqEhGdhavPITkxDli/FwFrVAymxMi3mdXxbjCxNyUhKZ2vfJcjzpeiIFffSyNpU5QveyNqUyOcld1e+Ky+fBSOXyzGuquop0rc2ITtW/fVkxyWj/9r161mbkl1QhzmJacjy8kkNUJ2FmhoQiVVj1a7D/LQs0tOySA+O4eqQVSy6u4NzG37D58pDZT0YW5uSVqweQt7jahVUblwNI0sTFtzZpgzT1tGm+4KvSY5OZEuXucrwovfiY+rwirysHBJCY0gIjSHs0Qu+vbaRBv3bcHNn4WQp38sPeelVOO5aW6yj1CH9NZ2iPnL7AMhNTEWWL0Ws5p7nFHlu3pdqq0dg3bEBD3otJSeqcPJR3HlPfn5a2KX66l6YWZmRHFs4+cLMyoyQ52+eWT5q+VgatG/Ekn7zSIxOUIYnxyrKfPlC1csV8eIliGBDl8IhStoa2qSxtSkRH6nun132JMxLMfZ56qmVSEwU3baGVqakF6lvQytTojWUmZmkeE8ZWaneM0MrE6Vn2ryCDY2Hu/JDh9nEFTyrMT5h2Dd2puHQjvy9YA+VmtWgfAMnytd3VJlCMWT1OEDhcU0pUg8m1qaEv8VzMWjZKOq0c+G7fotJKmHC2f9X/qsTVj4G7zWG0dfXl4SEBNauXUvLli2pVq1aMY9anTp1uHnzZokGjpWVFVevXuXFixf069fvrY2h6tWrc/v2bZWw27dvU6NGjXe/mBKwtrYmLS1NOQkFUHrlPhYikYjmzZuzbNkyHj16hFgs5o8//lCWX3RcoFQq5enTp8Xy+Oeff4qdV69e/a1lqlevjre3t8p13r59Gy0tLZydSx6fJBaLkUo1T1p4xcyZM3n48KHyuHv3LhkxSZRvUVMpo2skwbZeFaIfqve2yfKkxD0JplzzwjSIRJRvUZNoT/UTXN5Ew17NeXDiOnGBkcSHxhAd8JLU2CSqNqullNEzklCxniMhD/3fqwxNGFkqflAMyloWBopE2LSoRYKn+jpI8HiBTZE6A7BtVYuEguuX50lJ9ArCuIpqF71xFTsyX8Zr1CU3UzE+Kjs1g4TQGGIK6sHptXqoUK8KoRruz9vgefImG93msKnLXOWREp2I+09/8suQ1UoDrqgOjq/pYF/v/9q787iY8z8O4K8p3TUdKmeHDkcqSixyRK1ztbFr1xmxlkVRtLK/dWRXrN2VK2Jd5ajFOtet0uHIESmkQ4lQKUklqvn+/mibbUyitu/3O+X93Mc8HjvfmebzMtNM7/l8P4cpMv9DhncRyMmhmaLkd+g3xaXIf5AtvuSmZOFlznOY9P73NVBSV0GbrqZ4yEImpqwCL2+lo3nff58DCATQ6WuJgmv/7fexo58b9Id1x7UvfsKrzFyJ2yqKS/H0wVPx5VHKQzzPyYelvbX4PirqKjDr2h734u7V2s7UZd+ix+Ce8B37I3IeSv6dyHmYg/yneWhtIvmlqZVJazzNeIJnD7LFl3f/Tjbce/N1cSmePchG2esyqGiq4VFiOl7mPEe7ap85iv+83lm1fE49SUiH8VufU+3sLfHon59R+Gdm8tsdAkyFSHyW4NTSYGwZshBbhv4A32HzsdbNDwCwefZqFD57gU69/x2+pKyuApOu5kh7z/MwzncqbAb3wG/jluLZo/efBSOkunr1MBoaGkJRURHr16/HjBkzkJiYiJ9+kjxlMXv2bKxfvx5jxozBwoULoampicuXL6NHjx4SRYi+vj7Cw8MxYMAAjB07FqGhoRKnLmvi7e2Nr776CjY2NnBycsKxY8dw8OBBnDt3rj7/nHf65JNPoKqqih9++AEeHh6IjY3Fzp07G+zxY2NjERYWhkGDBkFfXx+xsbHIzc0VF3IDBw6El5cXjh8/DlNTU6xevRoFBQVSj3PhwgWsWrUKLi4uOHv2LPbv34/jx49L3Gf//v2ws7NDnz59sGfPHly5cgXbtm0DAIwfPx5LlizBpEmTsHTpUuTm5sLd3R0TJ04Un45+F2NjY0RFRWHMmDFQUlKCrq5ujfdTUlKCkpLkkh2XNoSim7sLXqRno/BhDnrM/xLF2QVIP/3v+nTOIQtx/9Q1JAZVTuKJ/+MkBq6ejtxb6ci5mQbrqUPQTEUJSfsixT+joqcJVT1NaBpXZm/e0QBvil6h6HEeXhf8WxS3se+M5oYtcPnPcIlckdtP4lP3kcjNeIr8hzkYOu8rFGY/R0K1tdu+2/MjEk5fRUzwaQCVy6boGv87jrO5gT5aWxihpKAIBY/zoKiqhMFzvsStU7EozH0BXcMWGLFwHApzCtCib2cYje6L/JtpMJ82BM1UlZARWvnv6b5uBl49fY5Evz8BAClbT8Hh4I9oP30YnoTdgMHnvaDTxQTXvbeJ27636Th6Bboj93ISci7cQcsB1mj1qS3Of/EzAEDNUA8Gn/fC08hbeJ33EqqtdODqMQJlpW+QFHFT/DjR20/C0d1F/DwMmTcahdnPJdawm77nf0g8fRUXgs/U+DzoGOhJPA8lBUUoeWuQfUV5BV7mvsCz+9KTpmK2n8RAdxc8y3iK5w9zMOifDNXXdpz2T4ZL1TI0fytDKwsjvPong4KKEgbOdsHdc9dRmFMANW0N9HIdBGFLbSQej5XK8LZL20+hv7sL8jKe4vnDXDjO+xIvswsk1lWcvGch7py+hivBZ8WZdKpl0jbQQ8t/Mr14nCfVRnUZgcdhue47FN68jxc3UmH47TDIqyrh8T+/I5brZ6L0aT5Sl4cCqJwoo96+cpklgaI8lFvqQKOzEcqLS/Hqn7UDO62cgpaj7HFz0m8oL3ol7sEsf1kisfxSdce3HcMX7l/hafoT5DzMxtfzxuF5Tj6unvn3y+jivctw5fRlnAo6AQD45ufp6OPcD6um+aG0+BW0/hljV1JYgjevK89GHdl8CF97jsWDuxnIuH0f/b8ciDambfD7jF/w9gCYqH/em8/Ev5NfSf1OztjzIxJreW/qfMB787OF4/AsIxtJUfG4su0U+ri7ID/9KQoe5sJh3pd4mSP5ek/YuxBJp6/h2j+fU5e3nsTnv0/Hk1vpeByfhh5ThkBBVQnx/6zE8CztMfLSn2KY31ScW74Hr54XocNgO5j0tUTolN8AAIXVfi8eC17jdUkpACA3Mxtnth7DcPcvkJ3xBM8e5sBl3hgUZD/HjTNXxD8zb88SxJ2ORURw5dCU8T99g08+74sN035BaXGpeEzoq8ISlP3zWgj1tKCppwV9o8rnq20HI5QWv0J+1ru/bNampOQVMh/9u85j1uNsJCWnQVOogVYt677cHRfolPS71atg1NPTw86dO/HDDz9g3bp1sLW1xW+//QZnZ2fxfZo3b47w8HB4e3ujf//+kJeXR9euXWFvLz29vmXLlggPD4eDgwPGjx+PvXv31jpOw8XFBWvXrsVvv/2GOXPmoF27dtixYwccHBzq8895Jx0dHezevRve3t74448/4OjoiKVLl0qNn6wvoVCIqKgorFmzBoWFhTAyMsLvv/+OoUOHAqicWBQfHw9XV1c0a9YMnp6eGDBggNTjzJs3D9euXYOvry+EQiFWr16NwYMHS9zH19cXoaGhmDlzJlq1aoWQkBBxj6yqqipOnz6NOXPmoHv37lBVVcUXX3yB1atXv/ffsGzZMkyfPh2mpqZ4/fp1nd5sNzb9jWaqSnBYOQWKwsqFu/+euAoVr//9gyU00odKtbXxUo/FQllHiB7zvoCqniae3XmAvyeukpg8YznBEd29Romvj/xrEQAgzGsz7u2PFh/vNKY/0q/dQ85bi1WHBx6FoooSvloxDSpCVaRfvYfNk1aivFouXaMWUKuWy8DaFLNDF4uvuyxyBQBcORCJkPmbwFSI0LqTIbp/0Q8qQjUU5jzHvahbOLH6F4wc1Audv/+ycuHu2w8QPe4XvP7n36Papjkg+vc5zbuWgtiZAbBcMBqWC79CUfpTXHBbjcJ7/05WeHzyGq4v2I6O7s6w+ckVL9Oe4NI3a5F3pbL3oeJ1GXQ/6QDzaUOgqKmG0twXSLp6Fxu+WIKiauP3IgKPQVFFCV+u+Eb8PPzx1vPQXOp5MMF31Z6Hz/95Hq4eiMSf8wNRV5H/ZPhixTdQFqoi4+o9bH8rg85bGdpam2B6tQwj/slw7UAk9s8PBCMSQd+0Nbp90Q9q2hooKSjCw1tpCBztKz49WJuYwL+hqKIE5xVToSxURebVZOya9ItEJu23MrW2NsGU0H/Hiw1dNBEAcONAFA7N31xre9lHLkGxuRCm34+Gkr4WXt5+gLixK8UTYZTb6IKp9jui1FIHvcL/He9nPGsEjGeNQP6FO7g2ahmAyoXAAaD74SWoLtFjEx7/GYmaHAk8CGVVZUxfMROqQjUkXbuL5a6+KKv2725h2BIa2v+uNTh44jAAgO8+P4nHCpi3FucPVH5RO7H9GBSVFDFp0VSoa6njwd0M/DR+CbIzn8JAIDm0qeq9Obrae3PLB7w3Z73jvRn6z3uzVSdD2L313jy5eh8q3pTjYuDfUFBVwvCq1/taMva6/iLxOaVt2AKq2v+2eefvy1BtroH+Xl9WLtx95wH2uv6C4n/e16LyCoROXoWBPmPw9bb5UFRTwvOMbBzx2ozUCMlF+GtyKvAwlFSU4LpiOlSFaki5moQ1k36WeB70jFpAQ+ff12LAxCEAgO//XCbxWNvnb8DFA+cBAA7jB8F57lfi2xbs/0l8n/pITErBFPd/hxWsWr8FAPD5UCcs/3FevR6TbTTp5d0EDJXTjdqH7LQiEAhw6NAhVrdirI+NBhP4joAU+ZrXqeNS79f/fRD7fxWr9P4xt2zj/1kAlGRgL4M+r94/xIMLfyi/4juCVMHIB22G/9/MB4LXfEfApmvsTkL7EAq6Ju+/03+krvrutUjroqjkw3aNakya7NaAhBBCCCF1wdCkl3fi/+t0DTp37gx1dfUaL3v27Knz4+3Zs+edj9e5c+f3P0A9ZWZmvrNddXV1ZGbWPBuYEEIIIdwTMUyDXNiSn5+P8ePHQygUQktLC1OnTpXYle1dLl26hIEDB0JNTQ1CoRD9+vXDq1d1O4sgkz2MJ06ceOeM6fdNwqiJs7MzPvnkkxpvY3Mpn9atW9c6q7p165oXZ66LjIyM996HRh0QQgghjd/48ePx5MkTnD17FmVlZXBzc8O3336LvXv3vvNnLl26hCFDhmDhwoVYv349mjVrhvj4eMjJ1a3PkMYwEt7QGMZKNIaxEv/PAo1hrI7GMFaiMYyVPpYxjMrK799P/kOUljb8GcS7d+/CwsICV69eFW80curUKQwbNgyPHj16ZydUz5498emnn0qtZlNX/H86EkIIIYTIAKaB/mPDpUuXoKWlJbErnZOTE+Tk5BAbW/OSYDk5OYiNjYW+vj569+6NFi1aoH///oiJialz+1QwEkIIIYQ0oNevX6OwsFDi8vr1f+spfvr0KfT1JdevbNasGXR0dPD06dMaf+b+/fsAgKVLl2LatGk4deoUbG1t4ejoiJSUum02QAUjIYQQQggqx/w3xGXFihXQ1NSUuKxYsaLGNn18fCAQCGq9JCUl1evfU7VN8fTp0+Hm5gYbGxv4+/ujQ4cOEtv1fgiZnPRCCCGEEMK1hprWsXDhQnh5eUkce3u3syrz5s3D5MmTa308ExMTtGzZUmob5vLycuTn56Nly5Y1/lyrVpXbxL69dXKnTp3qvFILFYyEEEIIIUCDjT6saTvcd9HT04Oent5779erVy8UFBTg+vXr6NatGwAgPDwcIpHonSvBGBsbo3Xr1rh3T3LP9+TkZPGuch+KTkkTQgghhMi4Tp06YciQIZg2bRquXLmCCxcuYPbs2RgzZox4hnRWVhY6duyIK1cq9xUXCATw9vbGunXrcODAAaSmpmLRokVISkrC1KlT6xaAIaSRKi0tZZYsWcKUlpZSBspAGSgDZaAMTV5eXh4zduxYRl1dnREKhYybmxvz8uVL8e3p6ekMACYiIkLi51asWMG0bduWUVVVZXr16sVER0fXuW1ah5E0WoWFhdDU1MSLFy8gFAopA2WgDJSBMlAGwhI6JU0IIYQQQmpFBSMhhBBCCKkVFYyEEEIIIaRWVDCSRktJSQlLliz54KULKANloAyUgTJ8nBnIf0eTXgghhBBCSK2oh5EQQgghhNSKCkZCCCGEEFIrKhgJIYQQQkitqGAkhBBCCCG1ooKRNAoMwyAzMxOlpaV8RyGEEJkWFRWF8vJyqePl5eWIioriIRFpCmiWNGkURCIRlJWVcfv2bZibm/MdhxBCZJa8vDyePHkCfX19ieN5eXnQ19dHRUUFT8lIY0Y9jKRRkJOTg7m5OfLy8viOAgAoKCjAmTNnsHv3bgQHB0tcuCAvL4+cnByp43l5eZCXl+ckA5Edp06dQkxMjPh6QEAAunbtinHjxuH58+c8JuNeeXk5zp07h82bN+Ply5cAgMePH6OoqIizDAMHDkRBQYHU8cLCQgwcOJD19hmGgUAgkDqel5cHNTU11tuvQp9TTUszvgMQ8qFWrlwJb29vbNq0CZaWlrzlOHbsGMaPH4+ioiIIhUKJD2aBQABXV1fWM7zrxMDr16+hqKjIevsAUFFRgZ07dyIsLAw5OTkQiUQSt4eHh7OeITs7G/PnzxdnePt54aInRRaeB29vb/zyyy8AgISEBMybNw9eXl6IiIiAl5cXduzYwXoGACguLkZkZCQyMzPx5s0bids8PDxYb//BgwcYMmQIMjMz8fr1a3z66afQ0NDAL7/8gtevXyMwMJD1DABw/vx5qX8/AJSWliI6Opq1dkeNGgWg8nNo8uTJEgtlV1RU4NatW+jduzdr7b9NFj6nSMOhgpE0Gq6urigpKUGXLl2gqKgIFRUVidvz8/M5yTFv3jxMmTIFfn5+UFVV5aTNKuvWrQNQ+Qdh69atUFdXF99WUVGBqKgodOzYkZMsc+bMwc6dOzF8+HBYWlrW2KPBtsmTJyMzMxOLFi1Cq1ateMkgC89Deno6LCwsAAB//fUXPvvsM/j5+SEuLg7Dhg3jJMONGzcwbNgwlJSUoLi4GDo6Onj27BlUVVWhr6/PScE4Z84c2NnZIT4+Hs2bNxcfHzlyJKZNm8Z6+7du3RL//507d/D06VPx9YqKCpw6dQpt2rRhrX1NTU0AlYWahoaGxGekoqIievbsycnzIEufU6ThUMFIGo01a9bwHQEAkJWVBQ8PD86LRQDw9/cHUPkHITAwUOK0jqKiIoyNjTnrRQkNDcW+ffs4K0hqEhMTg+joaHTt2pW3DLLwPCgqKqKkpAQAcO7cOXEvt46ODgoLCznJ4OnpiREjRiAwMBCampq4fPkyFBQUMGHCBMyZM4eTDNHR0bh48aJU75WxsTGysrJYb79r164QCAQQCAQ1nnpWUVHB+vXrWWu/qifZ2NgY3t7evHxGAbL1OUUaDhWMpNGYNGkS3xEAAIMHD8a1a9dgYmLCedvp6ekAgAEDBuDgwYPQ1tbmPEMVRUVFmJmZ8dY+ABgYGLzztBdXZOF56NOnD7y8vGBvb48rV67gzz//BAAkJyejbdu2nGS4efMmNm/eDDk5OcjLy+P169cwMTHBqlWrMGnSJPHpUjaJRKIahyE8evQIGhoarLefnp4OhmFgYmKCK1euQE9PT3yboqIi9PX1ORm75+rqiqysLKkJgikpKVBQUICxsTGr7Vf/nDp06BC0tLRYbY9wgya9kEaptLQUhYWFEheuDB8+HN7e3li6dCn++usvHD16VOLChYiICF6LRaDy1PzatWt5LdjWrFkDHx8fZGRk8JZBFp6HDRs2oFmzZjhw4AA2bdokPu158uRJDBkyhJMMCgoKkJOr/JOir6+PzMxMAJWnSR8+fMhJhkGDBkmciRAIBCgqKsKSJUs46QE2MjKCsbExRCIR7OzsYGRkJL60atWKs4kekydPxsWLF6WOx8bGYvLkyZxkKCsrQ2ZmJp48ecJJe4R9tKwOaTSKi4uxYMEC7Nu3r8bZ0lwtFVH1R7EmAoHgo5loMXLkSEREREBHRwedO3eGgoKCxO0HDx5kPYO2tjZKSkpQXl4OVVVVqQxcjGuVhedBFgwaNAiTJ0/GuHHjMG3aNNy6dQseHh7YtWsXnj9/jtjYWNYzPHr0CIMHDwbDMEhJSYGdnR1SUlKgq6uLqKgoqWVm2JSSkoKIiIga35+LFy9mtW2hUIi4uDipnu/U1FTY2dnVOIObDW3atMG5c+fQqVMnTtoj7KJT0qTR+P777xEREYFNmzZh4sSJCAgIQFZWFjZv3oyVK1dyluPtD38+yMJECy0tLYwcOZLzdquThXGtsvA8xMXFQUFBAVZWVgCAI0eOYMeOHbCwsMDSpUs5mZHq5+cnXsZm+fLlcHV1xXfffQdzc3Ns376d9fYBoG3btoiPj8eff/6J+Ph4FBUVYerUqRg/frzUJDk2/fHHH/juu++gq6uLli1bSq2kwHbBKBAIxK9FdS9evOB0DcZZs2bhl19+wdatW9GsGZUbjR31MJJGw9DQEMHBwXBwcJD4Br1r1y6EhITgxIkTfEfkjK6uLoKDg3mdaEFkR/fu3eHj44MvvvgC9+/fR+fOnTFy5EhcvXoVw4cPZ72wZhgGDx8+hL6+PpSVlVltqzZRUVHo3bu3VHFSXl6Oixcvol+/fpzkMDIywsyZM7FgwQJO2nvbiBEjoKKigpCQEPFp8IqKCnz99dcoLi7GyZMnOckxcuRIhIWFQV1dHVZWVlJrQH4sve9NBZX8pNHIz88XTzQRCoXi0419+vTBd999x1mOZcuW1Xo7270HgGxMtJAFVePk3sXQ0JCjJPxKTk4WzxTfv38/+vXrh7179+LChQsYM2YMJwWjmZkZ7zsxDRgwoMYdTl68eIEBAwZw1rv2/PlzjB49mpO2avLLL7+gX79+6NChA/r27QugcgZ5YWEhJ8NVqmhpaeGLL77grD3CLioYSaNhYmKC9PR0GBoaomPHjti3bx969OiBY8eOcToL79ChQxLXy8rKkJ6ejmbNmsHU1JSTgrFqosWGDRt4OR0NAO3atau17fv377OewdjYuNYMbBUItra2CAsLg7a2NmxsbGrNEBcXx0qG6hiGEQ+VOHfuHD777DMAlbPInz17xnr71Xdi4rNglJUdTkaPHo0zZ85gxowZnLVZnYWFBW7duoUNGzYgPj4eKioqcHV1xezZs6Gjo8NZDq4WjCfcoIKRNBpubm6Ij49H//794ePjgxEjRmDDhg0oKyvD6tWrOctx48YNqWOFhYWYPHkyZ2PZYmJiEBERgZMnT/I20WLu3LkS18vKynDjxg2cOnUK3t7erLcPSL8WVRlWr16N5cuXs9bu559/Lt5F4/PPP+etaK9iZ2eHn3/+GU5OToiMjMSmTZsAVC5v0qJFC04y8LkTk6ztcGJmZoZFixbh8uXLsLKyknp/crGIeevWreHn58d6Ox8iNzcX9+7dAwB06NBBYrkh0njQGEbSaD148ADXr1+HmZkZrK2t+Y6DhIQEjBgxgpMlXtzc3Gq9nc9v9gEBAbh27RqvGY4fP45ff/0V58+f5y0Dl27duoXx48cjMzMTXl5eWLJkCQDA3d0deXl52Lt3L+sZqs9Y53onpqr3Q1BQEL766iupHU6MjY0xbdo06Orqspahunbt2r3zNoFAwEnv+/Pnz7Ft2zbcvXsXQGWvo5ubG6c9jMXFxXB3d0dwcLC4B1xeXh6urq5Yv349bwuLk/qhgpE0SqWlpbwOrq9JTEwMRowYgefPn/MdhVf3799H165dOV0b822pqano0qULiouLWW9r8eLFGDBgAHr16iVzv5OlpaWQl5eX6uFiQ1BQUK23c7Hwvq+vL+bPn8/p6WdZFBUVhREjRkBTUxN2dnYAgOvXr6OgoADHjh3jbPLP9OnTce7cOWzYsAH29vYAKj8nPTw88Omnn4p7wknjQAUjaTQqKirg5+eHwMBAZGdnIzk5GSYmJli0aBGMjY0xdepUTnJU7ZNahWEYPHnyBLt27UL//v056c0BKmd+nj9/HmlpaRg3bhw0NDTw+PFjCIVCib1bubZq1Sps3LiRk57Wt4vSqtdi6dKlSEpKws2bN1nP8Omnn+LSpUsoLy9H9+7d0b9/fzg4OMDe3p7TpVyAyqKgeo+Sra0tp+0TSW/evEF6ejpMTU05XVbGysoKvXr1wqZNmyRmSc+cORMXL15EQkICJzl0dXVx4MABODg4SByPiIjAV199hdzcXE5ykAbCENJI+Pr6MiYmJszu3bsZFRUVJi0tjWEYhgkNDWV69uzJWQ5jY2OJi4mJCfPJJ58wCxcuZAoLCznJkJGRwXTs2JFRVVVl5OXlxc+Fh4cHM336dE4ydO3albGxsRFfunbtyrRs2ZKRl5dnNm/ezEkGgUDAyMnJSVwEAgFjaGjIXLx4kZMMDMMwZWVlTExMDOPn58cMHjyY0dDQYBQVFRl7e3tO2s/OzmYcHBwYgUDAaGtrM9ra2oxAIGAGDhzI5OTkcJKBYRgmNTWV+d///seMGTOGyc7OZhiGYU6cOMEkJiZylmH//v3M6NGjmU8++UTi99PGxoazDMXFxcyUKVMYeXl5iffn7NmzmRUrVrDevrKyMpOUlCR1PCkpiVFWVma9/SoqKirMnTt3pI4nJiYyqqqqnOUgDYMmvZBGIzg4GFu2bIGjo6PE7MMuXbogKSmJsxxV+6Tyac6cObCzs0N8fDyaN28uPj5y5EhMmzaNkwwuLi4S1+Xk5KCnpwcHBwd07NiRkwwRERE1ZjAzM+O0R6dZs2awt7eHnp4edHR0oKGhgcOHD3P2e+nu7o6ioiLcvn1bvKvGnTt3MGnSJHh4eCAkJIT1DJGRkRg6dCjs7e0RFRWF5cuXQ19fH/Hx8di2bRsOHDjAeoZ169bhf//7HyZPnowjR47Azc0NaWlpuHr1KmbNmsV6+1UWLlyI+Ph4nD9/XmJrRicnJyxduhQ+Pj6stm9ra4u7d++iQ4cOEsfv3r2LLl26sNp2db169cKSJUsQHBwsHq7x6tUr+Pr6olevXpzlIA2E74qVkA+lrKzMZGRkMAzDMOrq6uJv7bdv32bU1NQ4yfDmzRtGXl6eSUhI4KS9d9HR0RH3IFR/LtLT0xkVFRXW2y8rK2OCgoKYp0+fst7Wu7x584Zxc3Nj7t+/z1sGhmGYzZs3M2PHjmVat27NNG/enHFxcWHWrFnD3Lx5kxGJRJxkEAqFzJUrV6SOx8bGMpqampxk6NmzJ/P7778zDCP5OxkbG8u0adOGkwwdOnRg9u7dK5Vh0aJFzKxZszjJwDAMY2hoyFy6dEkqR0pKCqOhocF6+6GhoYyhoSHz66+/MtHR0Ux0dDTz66+/MsbGxkxoaCgTHx8vvrApISFB/L4YOHAgM3DgQKZ58+ZMmzZtOO11Jg2DehhJo2FhYYHo6GgYGRlJHD9w4ABsbGw4yaCgoABDQ0NOt9eqiUgkqjHDo0ePoKGhwXr7zZo1w4wZM8Tj5figoKCAv/76C4sWLeItAwDMmDEDenp6mDdvHmbOnMnL+FGRSFTjxBYFBQXOtrJMSEiocfyuvr4+J2tBApULuVctn6OioiLeHm/ixIno2bMnNmzYwEmO3NzcGvetLi4u5mQJprFjxwKo3E61ptsEAoF4zUo2P8ssLS2RkpKCPXv2iHvbx44dy/lWjaRhUMFIGo3Fixdj0qRJyMrKgkgkwsGDB3Hv3j0EBwfj77//5izH//73P/zwww/YtWsXp0tUVDdo0CCsWbMGW7ZsAVC5VEdRURGWLFnC2XaBPXr0wI0bN6QKeC65uLjg8OHD8PT05C3DwYMHERUVhdDQUCxZsgQ2NjZwcHCAg4MD+vTpw8nSIQMHDsScOXMQEhKC1q1bAwCysrLg6ekJR0dH1tsHKnf1ePLkidSSMjdu3ECbNm04ydCyZUvk5+fDyMgIhoaGuHz5Mrp06YL09HQwHM7vtLOzw/Hjx+Hu7g4A4iJx69atnJyKlYVhM1VUVVU5GyZD2EWzpEmjEh0djWXLliE+Ph5FRUWwtbXF4sWLMWjQIM4y2NjYIDU1FWVlZTAyMpJawoOLnT0ePXqEwYMHg2EYpKSkwM7ODikpKdDV1UVUVFSNvRsNbd++fVi4cCE8PT3RrVs3qeeBi7Uxf/75Z/z+++9wdHSsMQMXCyRX9+LFC0RHR2P//v0ICQmBnJwcSktLWW/34cOHcHZ2xu3bt2FgYCA+ZmlpiaNHj6Jt27asZ5g/fz5iY2Oxf/9+tG/fHnFxccjOzoarqytcXV3Fa0Oy6ZtvvoGBgQGWLFmCgIAAeHt7w97eHteuXcOoUaOwbds21jMAlUvHDB06FBMmTMDOnTsxffp03LlzBxcvXkRkZCS6devGSY73GT58OLZu3YpWrVqx1sa9e/ewfv168dmITp06Yfbs2ZyNcyYNhwpG0mhMmjQJU6dO5WwNsXfx9fWt9XYu/jAClcvq/PnnnxLFM5eneuTk5KSOcXWqq4osLJAMVG49FxkZifPnz+P8+fO4ffs2tLW10bdvX6mtJNnCMAzOnTsnPvXXqVMnODk5cdI2ULmEzKxZs7Bz505UVFSgWbNmqKiowLhx47Bz507x8i5sEolEEIlE4glPoaGhuHjxIszNzTF9+nQoKiqynqFKWloaVq5cKfH+XLBgAaysrDjL8D4aGhqIj4+HiYkJK4//119/YcyYMbCzsxP3rF6+fBlXr15FaGgo7TPdyFDBSBoNFxcXnDhxAkZGRnBzc8PkyZPFp99kUUhICJydnZvsIsIPHjyo9XY+T1VzycrKCnfv3oW2tjb69esHBwcH9O/fXyZ2H+LDw4cPkZCQgKKiItjY2HC2t3R5eTn8/PwwZcoUTnpUmwK2C0ZTU1OMHz8ey5Ytkzi+ZMkS7N69G2lpaay0S9hBBSNpVHJzc7Fr1y4EBQXhzp07cHJywpQpU+Di4sLJbhZ1IRQKcfPmTVY+jFesWIEWLVpgypQpEse3b9+O3NxcLFiwoMHbrC8uTnu9D5uvRUBAAPr378/5/slvLyBfG65PzdeGzddCXV0diYmJMDY2bvDHrosTJ05AXl4egwcPljh++vRpiEQiDB06lKdkktguGFVVVXHr1i2YmZlJHE9JSUGXLl1QUlLCSruEHTTphTQqenp68PLygpeXF+Li4rBjxw64urpCXV0dEyZMwMyZMznr0XgfNr+Lbd68ucYZqZ07d8aYMWNkqmCMiorCq1eveM3A5mvxoev7NXSh5O/v/0H3EwgEMlUwsvlaODo6IjIykveC0cfHBytXrpQ6zjAMfHx8ZKZgZJuDgwOio6OlCsaYmBj07duXp1SkvqhgJI3SkydPcPbsWZw9exby8vIYNmwYEhISYGFhgVWrVvE6a5YLT58+rbHHTk9PD0+ePOEhEXmfhi6UZGkmrKwYOnQofHx8kJCQUOMkKGdnZ05ypKSkwMLCQup4x44dkZqaykkGWeDs7IwFCxbg+vXr6NmzJ4DKMYz79++Hr68vjh49KnFfItuoYCSNRllZGY4ePYodO3bgzJkzsLa2xty5czFu3DgIhUIAwKFDhzBlypQmXzAaGBjgwoULUpM+Lly4INPjOgm/2DwdLAtmzpwJAFi9erXUbVxNxAIATU1N3L9/X6qnMzU1tcmOaa5J1euxceNGbNy4scbbAG5fG1J/VDCSRqNVq1YQiUQYO3Ysrly5gq5du0rdZ8CAAdDS0uI8G9emTZuGuXPnoqysDAMHDgQAhIWF4fvvv8e8efN4TkdkVVMfss7VIuXv8/nnn2Pu3Lk4dOgQTE1NAVQWi/PmzZOpnrQffviB1bVkZeX1IA2DCkbSaPj7+2P06NHiPUlroqWl9VGcqvP29kZeXh5mzpyJN2/eAACUlZWxYMECLFy4kOd0soeL3TXIh5GF18LKygonTpwQr1nZ0FatWoUhQ4agY8eO4hnbjx49Qt++ffHbb7+x0mZ1QUFB0NXVxfDhwwFU7viyZcsWWFhYICQkRLyCAX1WkLqQXkiNEBk1ceLEWotFWWNkZMTKzO2KigpER0fDx8cHubm5uHz5MuLj45Gfn4/Fixc3eHuNBcMw7+xBk4WeNVkolLgi669FRkYGysrKWHt8TU1NXLx4EcePH8fMmTMxb948hIWFITw8nJMzIH5+fuL1WC9duoSAgACsWrUKurq6nA/XCQsLw2effQZTU1OYmpris88+w7lz5zjNQBoGFYyE1ENBQQG2bt2KhQsXIj8/H0DlDi9ZWVni+yQmJrLSgyEvL49BgwahoKAA6urq6N69OywtLaGkpNTgbTUEtk97bdu2DZaWllBWVoaysjIsLS2xdetWifucPHmSk+3pZL1QYpssvRZ8KSsrQ7NmzXD79m0MGjQI3t7emD17NqcbDjx8+FA8M/nw4cP44osv8O2332LFihWIjo7mLMfGjRsxZMgQaGhoYM6cOZgzZw6EQiGGDRuGgIAAznKQhkGnpAmpo1u3bsHJyQmamprIyMjAtGnToKOjg4MHDyIzMxPBwcGsZ7C0tMT9+/dr3emEDdVnNb5P1VgtNk97LV68GKtXr4a7u7t4J4lLly7B09MTmZmZ4gWD+/Tpw1oGoLJQ8vf3R0pKCgDA3Nwcc+fOxTfffCO+jywUSmz2csrKa8E3BQUFGBoa8jqJQ11dHXl5eTA0NMSZM2fg5eUFoHLYCpdLXPn5+cHf3x+zZ88WH/Pw8IC9vT38/Pw+eEkqIiMYQkidODo6Mt7e3gzDMIy6ujqTlpbGMAzDXLhwgTEyMuIkw8mTJ5muXbsyx44dYx4/fsy8ePFC4sIWgUAgcZGTk5O6XnXhgq6uLrN3716p43v37mWaN2/OSYZFixYxampqjI+PD3PkyBHmyJEjjI+PD6Ours4sWrSIkwzViUQiRiQS1Xhb9d/XhiYLr8WHYvN5YBiG2bp1KzNs2DAmLy+PtTZqM27cOMbW1paZOnUqo6qqyjx79oxhGIY5cuQI07lzZ85yqKmpMSkpKVLHk5OTGTU1Nc5ykIZBBSMhdSQUCpnU1FSGYST/8GRkZDBKSkqcZHhXkVZ1nQtnz55lbG1tmVOnTokL1VOnTjF2dnbMmTNnOMmgqanJJCcnSx2/d+8eo6mpyUkGWSmUtm7dynTu3JlRVFRkFBUVmc6dOzN//PGHxH2io6OZ0tJSVtqXhdfiQ7FdMHbt2pVRV1dnlJSUmPbt2zM2NjYSF7Y9f/6cmTVrFuPs7MycPHlSfHzx4sXMzz//zHr7VcaOHcusWrVK6vivv/7KfP3115zlIA2DTkkTUkdKSkooLCyUOp6cnAw9PT1OMkRERHDSTm3mzp2LwMBAiVOMgwcPhqqqKr799lvcvXuX9QwTJ07Epk2bpNbd27JlC8aPH896+0DlmDU7Ozup4926dUN5eTknGWThdLAsvBaywsXFhdf2tbS0sGHDBqnjvr6+nOawsLDA8uXLcf78efHv5eXLl3HhwgXMmzdPYntLWdqNiNSM9pImpI6++eYb5OXlYd++fdDR0cGtW7cgLy8PFxcX9OvXD2vWrOE7IidUVFRw9epVqT2Ub926hU8++YSTsVLu7u4IDg6GgYGBeCeJ2NhYZGZmwtXVVWKWek2LOTdUBgUFBanHnz9/Pl69esXJ4H49PT2sW7cOY8eOlTgeEhICd3d3PHv2jPUMsvBafKi9e/fi888/b7KLaJ86dQrq6uriLwgBAQH4448/YGFhgYCAAGhra3OS40PHWAsEAty/f5/lNOS/ooKRkDp68eIFvvzyS1y7dg0vX75E69at8fTpU/Tq1QsnTpzg7I9QdHQ0Nm/ejPv372P//v1o06YNdu3ahXbt2nEysaBfv35QVlbGrl270KJFCwBAdnY2XF1dUVpaisjISNYzDBgw4IPuJxAIEB4ezkoGWSiUtLS0cPXqVal91JOTk9GjRw8UFBSw0m51fL0W1Xup3ofLXqyCggIcOHAAaWlp8Pb2ho6ODuLi4tCiRQvWJz9ZWVnhl19+EW+Z2r17d3h5eSEiIgIdO3bEjh07WG2fNE1UMBJSTzExMbh16xaKiopga2sLJycnztr+66+/MHHiRIwfPx67du3CnTt3YGJigg0bNuDEiRM4ceIE6xlSU1MxcuRIJCcni5cPevjwIczNzXH48GHxsh5NnawUrXz3cvLl7V6s3NxclJSUiNc7LCgogKqqKvT19TnrxXp7JYV79+7BxMQEP/74IycrKairqyMxMRHGxsZYunQpEhMTceDAAcTFxWHYsGF4+vQpq+2TpokKRkIaIRsbG3h6esLV1RUaGhqIj4+HiYkJbty4gaFDh3L2B4FhGJw9exZJSUkAgE6dOsHJyemjWqRaFshCL6cs2Lt3LzZu3Iht27ahQ4cOAIB79+5h2rRpmD59OmdjKZ2cnGBra4tVq1ZJvD8vXryIcePGISMjg9X2dXR0EBMTAwsLC/Tp0weurq749ttvkZGRAQsLC5SUlLDafpUpU6bUevv27ds5yUEaBk16IaQerl69ioiICOTk5Ejtl8rFH+R79+7VuBCwpqYmJ6cfqwgEAgwaNAj9+vWDkpISFYo8SUxMhK2tLQAgLS0NAKCrqwtdXV0kJiaK79fUX59FixbhwIED4mIRADp06AB/f398+eWXnBWMV69exebNm6WOt2nThpMvc3369IGXlxfs7e1x5coV/PnnnwAqhyhUbVXIhefPn0tcLysrQ2JiIgoKCjBw4EDOcpCGQQUjIXXk5+eHH3/8ER06dECLFi0k/ghz9Qe5ZcuWSE1NhbGxscTxmJgYmJiYcJJBJBJh+fLlCAwMRHZ2NpKTk2FiYoJFixbB2NgYU6dO5SQHkY1Z87LgyZMnNc5Mr6ioQHZ2Nmc5+F5JYcOGDZg5cyYOHDiATZs2icdMnjx5EkOGDGG9/SqHDh2SOiYSifDdd9/B1NSUsxykgfC2oA8hjZS+vj6zY8cOXjP4+fkxFhYWzOXLlxkNDQ0mOjqa2b17N6Onp8esW7eOkwy+vr6MiYkJs3v3bkZFRUW8rl1oaCjTs2dPTjIQUt1nn33G2NjYMNevXxcfu3btGmNra8uMGDGCsxxTp05lXFxcmDdv3jDq6urM/fv3mQcPHjA2NjbMnDlzOMshq5KSkpiWLVvyHYPUEfUwElJHcnJysLe35zWDj48PRCIRHB0dUVJSIj4lPH/+fLi7u3OSITg4GFu2bIGjoyNmzJghPt6lSxfxmEZCuLR9+3ZMmjQJdnZ24nGb5eXlGDx4sNSe1mz6/fff8eWXX0JfXx+vXr1C//79xSspLF++nJMMFRUVOHz4sHg91M6dO8PZ2Rny8vKctF+btLQ0ztYoJQ2HJr0QUkerVq3C48ePZWK9xTdv3iA1NRVFRUWwsLCAuro6Z22rqKggKSkJRkZGEgP779y5gx49eqCoqIizLIRUl5ycLP7S0rFjR7Rv356XHHytpJCamophw4YhKytLYvKPgYEBjh8/ztnp4Ko9rKswDIMnT57g+PHjmDRpUo2LixPZRQUjIXUkEokwfPhwJCcnw8LCQmIGKgAcPHiQ0zwPHz4EAPHSNlzp1q0bPD09MWHCBImCcdmyZTh79iyio6M5zUNIlTdv3iA9PR2mpqZo1uzjO5E2bNgwMAyDPXv2QEdHBwCQl5eHCRMmQE5ODsePH+ckx9tLTsnJyUFPTw8DBw7ElClTPsrXpjGjV4uQOvLw8EBERAQGDBiA5s2b8zLztLy8HL6+vli3bp24J09dXR3u7u5YsmSJVBHLhsWLF2PSpEnIysqCSCTCwYMHce/ePQQHB+Pvv/9mvX1C3lZSUgJ3d3cEBQUBgHgilru7O9q0aQMfHx/OsoSFhcHf3198SrhTp06YO3cuJ72MkZGRuHz5srhYBIDmzZtj5cqVnA6noclYTQyfAygJaYzU1dWZv//+m9cMM2bMYPT19ZnAwEAmPj6eiY+PZwIDA5mWLVsyM2bM4CxHVFQU4+TkxOjp6TEqKiqMvb09c/r0ac7aJ6Q6Dw8Pplu3bkx0dDSjpqYmnoh1+PBhpmvXrpzlCAgIYJo1a8aMGTOGWbt2LbN27Vpm7NixjIKCArNhwwbW29fW1mYuXLggdTwmJobR1tZmvf0qJSUlTHFxsfh6RkYG4+/vT58RjRQVjITUkaGhIXP37l1eMwiFQubEiRNSx48fP84IhUIeEhHCP0NDQ+bSpUsMw1R+sasqGFNSUhgNDQ3OcrRp04ZZv3691PENGzYwrVu3Zr39iRMnMp07d2YuX77MiEQiRiQSMZcuXWIsLS2ZSZMmsd5+lU8//ZTZtGkTwzAM8/z5c0ZfX59p27Yto6yszGzcuJGzHKRhyPHdw0lIY7N06VIsWbKEs90SaqKkpCS1BiNQuU2aoqIip1nevHmDR48eITMzU+JCCNdyc3Ohr68vdby4uJjToSMFBQU1rnc4aNAgvHjxgvX2161bB1NTU/Tq1QvKyspQVlaGvb09zMzMsHbtWtbbrxIXF4e+ffsCAA4cOICWLVviwYMHCA4OrtMe4EQ20BhGQupo3bp1SEtLQ4sWLWBsbCw1XjAuLo71DLNnz8ZPP/2EHTt2QElJCQDw+vVrLF++HLNnz2a9fQBISUnBlClTcPHiRYnjDMNAIBCgoqKCkxyEVLGzs8Px48fFS0tVFYlbt25Fr169OMvh7OyMQ4cOwdvbW+L4kSNH8Nlnn7HevpaWFo4cOYKUlBSJbTu53t+9pKQEGhoaAIAzZ85g1KhRkJOTQ8+ePfHgwQNOs5D/jgpGQurIxcWF7wi4ceMGwsLC0LZtW3Tp0gUAEB8fjzdv3sDR0RGjRo0S35etWduTJ09Gs2bN8Pfff6NVq1ZNfts5Ivv8/PwwdOhQ3LlzB+Xl5Vi7di3u3LmDixcvIjIykrMcFhYWWL58Oc6fPy8uVC9fvowLFy5g3rx5Er1rHh4erOUwNzeHubk5a4//PmZmZjh8+DBGjhyJ06dPw9PTEwCQk5MDoVDIWy5SP7SsDiGNkJub2wffd8eOHaxkUFNTw/Xr19GxY0dWHp+Q+khLS8PKlSsRHx8vXv9wwYIFsLKy4ixDu3btPuh+AoEA9+/fb5A2317zsDZc7HcPVJ6GHjduHCoqKuDo6IgzZ84AAFasWIGoqCicPHmSkxykYVDBSEg9Xb9+XWIXBRsbG54TSbtw4QLs7OzEp60bUvfu3eHv748+ffo0+GMTQurm7TUP30UgECA8PJzlNP96+vQpnjx5gi5dukBOrnLaxJUrVyAUCsVfNh89eoTWrVuLbyeyiQpGQuooJycHY8aMwfnz56GlpQWgcpD7gAEDEBoaCj09PX4DViMUCnHz5k2YmJg0+GOHh4fjxx9/hJ+fH6ysrKTGctIpJ8I1eXl5PHnyRGriS15eHvT19WVuXC2b788PISuFGt/PA/kwVM4TUkfu7u54+fIlbt++jfz8fOTn5yMxMRGFhYWsjkeqDza/Dzo5OeHy5ctwdHSEvr4+tLW1oa2tDS0tLWhra7PWLiHv8q7f99evX3O+esCH4Lu/xsLCAhkZGbxmAPh/HsiHoUkvhNTRqVOncO7cOXTq1El8zMLCAgEBARg0aBCPybhFuzgQWVE1iUQgEGDr1q0Se6pXVFQgKiqKxtrWgAo1UhdUMBJSRyKRqMat9xQUFCASiXhIxL2ysjIsW7YMgYGBvM7CJAQA/P39AVQWQIGBgZCXlxffpqioCGNjYwQGBvIVj5AmgQpGQupo4MCBmDNnDkJCQtC6dWsAQFZWFjw9PeHo6MhzOm4oKCjg1q1bfMcgBACQnp4OoHLix8GDB2lIBCEsoDGMhNTRhg0bUFhYCGNjY5iamsLU1BTGxsYoLCzE+vXr+Y4ngc21ESdMmIBt27ax9viE1NWAAQNqXBHg1atXWLZsGQ+Jakdrl1ai56FxoFnShNQDwzAICwsTL6vTqVMnODk5cdZ+SEgIxo4dW+Nt3t7e+PXXXwEAGhoaiI+PZ2X2obu7O4KDg2Fubo5u3bpBTU1N4nau1nojpEpjmyXN5vvzQ8jK7GS+nwfyYahgJKQewsLCEBYWhpycHKlxi9u3b2e9fS0tLYSEhGDo0KESxz09PREaGoonT56wnqG2dd+4XuuNEACQk5NDdna21NJW4eHh+Prrr5Gbm8tJjmXLlmH+/PlQVVWVOP7q1Sv8+uuvWLx4MQAgJiYG3bt3Z2Wd1A8hK4Xaw4cP0bp1a4mxp0T2UMFISB35+vpi2bJlsLOzq3FLvEOHDrGe4fjx4xg/fjz+/vtv8cLZ7u7uOHjwIMLCwmhGKPmoaGtrQyAQ4MWLFxAKhRLvyYqKChQVFWHGjBkICAjgJE9j6elku1ArLi7GypUr3/nluqF2uSHcoEkvhNRRYGAgdu7ciYkTJ/KWYfjw4di4cSOcnZ1x9uxZbNu2DUeOHEFERATat2/PWy5C+LBmzRowDIMpU6bA19cXmpqa4tuqZklX7enMBYZhahyXFx8fDx0dHdbb/9BCzcDAgNUc33zzDSIjIzFx4kTab74JoIKRkDp68+YNevfuzXcMjBs3DgUFBbC3t4eenh4iIyNhZmbGaYZr165h3759yMzMxJs3byRuO3jwIKdZyMdr0qRJACr3cO7du3eNy15xoaqnUyAQoH379u/s6WSbrBRqJ0+exPHjx2Fvb89L+6Rh0SlpQupowYIFUFdXx6JFizht18vLq8bj+/fvh62tLUxNTcXHuJhwEhoaCldXVwwePBhnzpzBoEGDkJycjOzsbIwcORI7duxgPQMh71JaWir1JYbt7SqDgoLEPZ1r1qzhradTS0tLJgq1du3a4cSJExKbHJDGiwpGQj5A9WJNJBIhKCgI1tbWsLa2lurNYKtYq22SSXVcTTixtrbG9OnTMWvWLPHg+Xbt2mH69Olo1aoVfH19Wc9ASHUlJSX4/vvvsW/fPuTl5UndztXYwcjISF57OmWlUNu9ezeOHDmCoKAgqQlApPGhgpGQDyBrxZosUFNTw+3bt2FsbIzmzZvj/PnzsLKywt27dzFw4EBOZmoTUt2sWbMQERGBn376CRMnTkRAQACysrKwefNmrFy5EuPHj2et7cLCQnEPZmFhYa33ZbunU1YKNRsbG6SlpYFhGBgbG0sV0HFxcTwlI/VBYxgJ+QC0b7I0bW1tvHz5EgDQpk0bJCYmwsrKCgUFBSgpKeE5HfkYHTt2DMHBwXBwcICbmxv69u0LMzMzGBkZYc+ePawWjNra2uKZ0VpaWjWOG6yaDMN2T+fvv/+OtLQ0tGjRgtdCzcXFhZN2CDeoYCSE1Eu/fv1w9uxZWFlZYfTo0ZgzZw7Cw8Nx9uzZj2aLRCJb8vPzxWsKCoVC5OfnAwD69OmD7777jtW2w8PDxTOg+f6CKSuF2pIlS/iOQBoQnZImhNRLfn4+SktL0bp1a4hEIqxatQoXL16Eubk5fvzxR9rPl3DO2toa69evR//+/eHk5ISuXbvit99+w7p167Bq1So8evSI74iENFpUMBJCCGkS/P39IS8vDw8PD5w7dw4jRowAwzAoKyvD6tWrMWfOHM6yFBQU4MqVKzWug+jq6spZDj7JycnVuqSPrCxgTj4MFYyEkHpLS0vDjh07kJaWhrVr10JfXx8nT56EoaEhOnfuzHc88pHLyMhAXFwczMzMYG1tzVm7x44dw/jx41FUVCS184xAIBCfKm9IOjo6SE5Ohq6urng9yHdho/2aHDlyROJ6WVkZbty4gaCgIPj6+mLq1Kmc5CANgwpGQki9REZGYujQobC3t0dUVBTu3r0LExMTrFy5EteuXcOBAwf4jkgIL9q3b49hw4bBz8+Ps1nKQUFBGDNmDJSUlBAUFFTrfasWOufL3r178eeff0oVlES2UcFICKmXXr16YfTo0fDy8hKvw2hiYoIrV65g1KhRNF6M8CIsLAz+/v64e/cuAKBTp06YO3cunJycOMugpqaGhIQE8QQcrrm6usLBwQH9+/eXWNBfVty/fx/W1tYoKiriOwqpAzm+AxBCGqeEhASMHDlS6ri+vj6ePXvGQyLysdu4cSOGDBkCDQ0NzJkzB3PmzIFQKMSwYcMQEBDAWY7Bgwfj2rVrnLX3NiUlJaxcuRLt27eHgYEBJkyYgK1btyIlJYW3TFVevXqFdevWoU2bNnxHIXVEPYyEkHpp27Yt9u3bh969e0v0MB46dAjz589HWloa3xHJR6Zt27bw8fHB7NmzJY4HBATAz88PWVlZrLV99OhR8f/n5uZi2bJlcHNzg5WVldQ6iM7OzqzlqC4rKwtRUVGIjIxEZGQkkpOT0apVK856/98eS8kwDF6+fAlVVVXs3r2bs+eBNAxah5EQUi9jxozBggULsH//fggEAohEIly4cAHz58//aGaBEtlSUFCAIUOGSB0fNGgQFixYwGrbNa19uGzZMqljXCzcXUVbWxvNmzeHtrY2tLS00KxZM+jp6XHSNgCsWbNG4rqcnBz09PTwySef0LJbjRAVjISQevHz88OsWbNgYGCAiooKWFhYoKKiAuPGjcOPP/7IdzzyEXJ2dsahQ4fg7e0tcfzIkSP47LPPWG377aVz+PTDDz/g/PnzuHHjBjp16oT+/fvDx8cH/fr146xQKy8vx4MHDzBlyhS0bduWkzYJu+iUNCHkP3n48CESEhJQVFQEGxsbmJub8x2JfETWrVsn/v/CwkL89ttvsLe3R69evQAAly9fxoULFzBv3jyZ+yJjZWWFEydOwMDAoEEft6onz9PTE6NGjUL79u0b9PE/lIaGBhISEmBsbMxL+6RhUcFICGGVUCjEzZs3eZsxSpq2du3afdD9BAIB7t+/z3Kauqk+9rchxcfHIzIyEufPn0d0dDQUFRXRv39/ODg4wMHBgbMC8vPPP8eoUaN4X8aHNAw6JU0IYRV9JyVsSk9P5zuCzOnSpQu6dOkCDw8PAJUFpL+/P2bNmgWRSMTZGMqhQ4fCx8cHCQkJ6NatG9TU1CRup0kvjQsVjIQQQj4qTb3Xm2EY3LhxA+fPn8f58+cRExODwsJCWFtbo3///pzlmDlzJgBg9erVUrdxOfmHNAwqGAkhhHxUmnqvt46ODoqKitClSxf0798f06ZNQ9++faGlpcVpDlmaCET+OyoYCSGEkCZk9+7d6Nu3L4RCId9RPghbk39Iw6KCkRDCquoL9xJC2Dd8+HC+I9RJRkYGysrK+I5B3oO2BiSE/GcMw7zzNF9TP/1HSH1t3rwZLVq04DsGIR+EehgJIfW2bds2+Pv7i/eoNTc3x9y5c/HNN9+I73Py5EnaN5bIFDZ6vauvB/k+VbOXx40b1+A5CGELFYyEkHpZvHgxVq9eDXd3d/EiyZcuXYKnpycyMzPF26L16dOHz5iESGGj19vf31/iem5uLkpKSsQTTQoKCqCqqgp9fX1xwUhIY0ILdxNC6kVPTw/r1q3D2LFjJY6HhITA3d0dz5494ykZIbWLiYlB9+7doaSkxMrj7927Fxs3bsS2bdvQoUMHAMC9e/cwbdo0TJ8+HePHj2el3caKrQXMScOigpEQUi9aWlq4evWq1FaAycnJ6NGjBwoKCvgJRj4qXl5eH3zfmtYDZIOpqSkOHDgAGxsbiePXr1/Hl19+SYuNv4UKxsaBTkkTQupl4sSJ2LRpk9Qf4S1btlAPCuHMjRs3Puh+XM7Wf/LkCcrLy6WOV1RUIDs7m7McfNDR0UFycjJ0dXUxZcoUrF27FhoaGrX+DE3+aRyoh5EQUi/u7u4IDg6GgYEBevbsCQCIjY1FZmYmXF1doaCgIL4vVz07hMiCESNGICsrC1u3boWtrS2Ayt7Fb7/9Fm3atMHRo0d5TsgedXV13Lp1CyYmJpCXl8fTp0+hp6fHdyzSAKhgJITUy4ABAz7ofgKBAOHh4SynIeRfqampSEtLQ79+/aCiogKGYTjtYczNzcWkSZNw6tQp8Ren8vJyDB48GDt37oS+vj5nWbj26aefIjs7G926dUNQUBC+/vprqKio1Hjf7du3c5yO/Bd0SpoQUi8RERF8RyBEQl5eHr766itERERAIBAgJSUFJiYmmDp1KrS1tfH777+znoFhGLx69Qp//fUXHj16hLt37wIAOnbsiPbt27PePt92794Nf39/pKWlQSAQ4MWLFygtLeU7FmkA1MNICCGkSXB1dUVOTg62bt2KTp06iSdSnD59Gl5eXrh9+zbrGUQiEZSVlXH79m2pCWEfm3bt2uHatWto3rw531FIA6AeRkIIIU3CmTNncPr0abRt21biuLm5OR48eMBJBjk5OZibmyMvL++jLxhpNnjTQlsDEkIIaRKKi4uhqqoqdTw/P5+1NRdrsnLlSnh7eyMxMZGzNmVVZGQkRowYATMzM5iZmcHZ2RnR0dF8xyL1QAUjIYSQJqFv374IDg4WXxcIBBCJRFi1atUHT9JqCK6urrhy5Qq6dOkCFRUV6OjoSFw+Frt374aTkxNUVVXh4eEBDw8PqKiowNHREXv37uU7HqkjGsNICCGkSUhMTISjoyNsbW0RHh4OZ2dn3L59G/n5+bhw4QJMTU05yREUFFTr7ZMmTeIkB986deqEb7/9Fp6enhLHV69ejT/++EM8IYg0DlQwEkIIaTJevHiBDRs2ID4+HkVFRbC1tcWsWbPQqlUrvqN9dJSUlHD79m2YmZlJHE9NTYWlpSXNnm5kaNILIYSQRq+srAxDhgxBYGAg/ve///EdR6y0tBRv3ryROCYUCnlKwy0DAwOEhYVJFYznzp2DgYEBT6lIfVHBSAghpNFTUFDArVu3+I4BoHLyzYIFC7Bv3z7k5eVJ3V5RUcFDKu7NmzcPHh4euHnzJnr37g0AuHDhAnbu3Im1a9fynI7UFU16IYQQ0iRMmDAB27Zt4zsGvv/+e4SHh2PTpk1QUlLC1q1b4evri9atW0tMymnqvvvuO4SGhiIhIQFz587F3LlzkZiYiD///BPTp0/nOx6pIxrDSAghpEmo2t/c3Nwc3bp1g5qamsTtXO1pbmhoiODgYDg4OEAoFCIuLg5mZmbYtWsXQkJCcOLECU5yNBYhISFwdnaWer2IbKGCkRBCSJNQ29I5XO5prq6ujjt37sDQ0BBt27bFwYMH0aNHD6Snp8PKygpFRUWc5GgshEIhbt68CRMTE76jkFrQGEZCCCGNXkVFBXx9fWFlZQVtbW1es5iYmCA9PR2Ghobo2LEj9u3bhx49euDYsWPQ0tLiNZsson6rxoHGMBJCCGn05OXlMWjQIBQUFPAdBW5uboiPjwcA+Pj4ICAgAMrKyvD09IS3tzfP6QipH+phJIQQ0iRYWlri/v37aNeuHa85qi9U7eTkhKSkJFy/fh1mZmawtrbmMRkh9UcFIyGEkCbh559/xvz58/HTTz/VOOmFy/UPw8LCEBYWhpycHIhEIonbtm/fzlkOQhoKFYyEEEKahGHDhgEAnJ2dIRAIxMcZhoFAIOBs/UNfX18sW7YMdnZ2aNWqlUQWQhorKhgJIYQ0CREREXxHAAAEBgZi586dmDhxIt9RZFZVEQ8ARkZGUFBQ4DkReR9aVocQQghpQM2bN8eVK1dgamrKdxRe/frrrzVO8qmoqMCECRMQEhLCQypSX1QwEkIIaVJKSkqQmZkptYczVxNOFixYAHV1dSxatIiT9mSVvr4+VqxYgalTp4qPVVRUYMyYMUhMTMTdu3d5TEfqik5JE0IIaRJyc3Ph5uaGkydP1ng7m2MYvby8xP8vEomwZcsWnDt3DtbW1lKnW7nacYZvx48fx6BBg6CpqYkvv/wS5eXl+Oqrr5CUlCQzwwfIh6OCkRBCSJMwd+5cFBQUIDY2Fg4ODjh06BCys7Px888/4/fff2e17Rs3bkhc79q1KwAgMTFR4vjHNAGme/fu+Ouvv+Di4gJFRUVs27YNqampiIiIQIsWLfiOR+qITkkTQghpElq1aoUjR46gR48eEAqFuHbtGtq3b4+jR49i1apViImJ4TviR+nw4cMYPXo0OnXqhPDwcOjq6vIdidQD9TASQghpEoqLi6Gvrw8A0NbWRm5uLtq3bw8rKyvExcXxnO7jMGrUqBqP6+npQUtLC99++6342MGDB7mKRRoAFYyEEEKahA4dOuDevXswNjZGly5dsHnzZhgbGyMwMBCtWrXiO95HQVNTs8bjgwcP5jgJaWh0SpoQQkiTsHv3bpSXl2Py5Mm4fv06hgwZgry8PCgqKiIoKAhff/013xEJabSoYCSEENLkMAyDV69eISkpCYaGhjRujgfp6ekoLy+Hubm5xPGUlBQoKCjA2NiYn2CkXuT4DkAIIYQ0lG3btsHS0hLKysrQ1taGq6srDh8+zHesj9LkyZNx8eJFqeOxsbGYPHky94HIf0JjGAkhhDQJixcvxurVq+Hu7o5evXoBAC5dugRPT09kZmZi2bJlPCf8uNy4cQP29vZSx3v27InZs2fzkIj8F1QwEkIIaRI2bdqEP/74A2PHjhUfc3Z2hrW1Ndzd3alg5JhAIMDLly+ljr948YLVRdQJO+iUNCGEkCahrKwMdnZ2Use7deuG8vJyHhJ93Pr164cVK1ZIFIcVFRVYsWIF+vTpw2MyUh806YUQQkiT4O7uDgUFBamt9+bPn49Xr14hICCAp2Qfpzt37qBfv37Q0tJC3759AQDR0dEoLCxEeHg4LC0teU5I6oIKRkIIIY1W9T2cy8vLsXPnThgaGqJnz54AKidYZGZmwtXVFevXr+cr5kfr8ePH2LBhA+Lj46GiogJra2vMnj0bOjo6fEcjdUQFIyGEkEZrwIABH3Q/gUCA8PBwltMQ0nRRwUgIIYQQ1pSUlCAzMxNv3ryROG5tbc1TIlIfNEuaEEIIIQ0uNzcXbm5uOHnyZI2300zpxoVmSRNCCCGkwc2dOxcFBQWIjY2FiooKTp06haCgIJibm+Po0aN8xyN1RD2MhBBCCGlw4eHhOHLkCOzs7CAnJwcjIyN8+umnEAqFWLFiBYYPH853RFIH1MNICCGEkAZXXFwMfX19AIC2tjZyc3MBAFZWVoiLi+MzGqkHKhgJIYQQ0uA6dOiAe/fuAQC6dOmCzZs3IysrC4GBgWjVqhXP6Uhd0SxpQgghhDS43bt3o7y8HJMnT8b169cxZMgQ5OXlQVFREUFBQfj666/5jkjqgApGQgghhLCupKQESUlJMDQ0hK6uLt9xSB3RpBdCCCGENIjqO++8z9tbOBLZRgUjIYQQQhrEjRs3Puh+AoGA5SSkodEpaUIIIYQQUiuaJU0IIYQQQmpFBSMhhBBCCKkVFYyEEEIIIaRWVDASQgghhJBaUcFICCGEEEJqRQUjIYQQQgipFRWMhBBCCCGkVlQwEkIIIYSQWv0f8Cu3/W8eDH8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Correlation matrix\n",
    "#-> Assign the correlation to a variable\n",
    "correlation = df_numeric.corr()\n",
    "\n",
    "#-> Use Seaborn to create a heat map of all the correlations\n",
    "sns.heatmap(correlation, xticklabels=correlation.columns, yticklabels=correlation.columns, annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Boxplots of each to detect outliers\n",
    "df.boxplot(column='home_run', figsize=(8,4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column=['p_win', 'p_loss'], figsize=(8,4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pqak6ePCgJCk9PV3R0dGaO3cuNwgBQCNWdUTzxfG9FBsV5t6+S8u0auNWjRqUoNDgCx8AY9L+wmJNeW+nR47oNjaETVxSRkaGxo0bp1GjRumtt97SN998o3bt2mnOnDkaN24cd6QDwBUgNipM3a5q5tY+bTabjkVKfTr+hCcINWAufak7rjx2u12pqakaNWqUVqxYofj4eAUHBys+Pl4rVqzQqFGjNG3aNNntdk+XCgAAvBBhEzXKzs7WwYMH9dhjj8nX13l38fX11YwZM5Sfn6/s7GwPVQgAALwZYRM1Onr0qCSpW7duTjcIZWVlyW63O54cVdUOAADgfFyziRq1adNGkvSnP/1Jixcv1tdffy3phxuEOnbsqHvuucepHQAAwPkIm6hRYmKioqKiNGPGDAUHBzstKyws1GOPPaaoqCglJiZ6qEIAAODNOI2OSzp37pwkqayszGl+1XTVcgAAgB8jbKJGGzduVFFRkSQpMDDQaVlQ0A/feVZUVKSNGze6uzQAANAAEDZRo08//VSS1L9/fxUVFSkzM1NTp05VZmamTp8+rf79+zu1AwAAOB9hEzU6fPiwJOn2229XQECAkpKSNHDgQCUlJSkgIEATJkxwagcAAHA+wiZq1L59e0nS22+/rcrKSqdllZWVWrp0qVM7AACA8xE2UaMhQ4ZIknJycjR69Gjl5OSotLTUafr8dgAAAOfjq49Qo0GDBikyMlLHjx/X+vXrtWrVKseyqq9CioqK0qBBgzxUIQAA8GYc2USN/Pz8tHjx4mqX+fj4SJIWLVokPz8/d5YFAAAaCMImLiklJUXvv/++oqKinOZHRUXp/fffV0pKiocqAwAA3o7T6KiVlJQUjR49Whs2bNCaNWs0cuRIDR48mCOaAACgRoRN1Jqfn5+SkpJUUlKipKQkgiYAALgkTqMDAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiZqzW63KysrS5s2bVJWVpbsdrunSwIAAF6OsIlaycjIUGxsrJKTk5Wenq7k5GTFxsYqIyPD06UBAAAvRtjEJWVkZGjcuHEqKChwml9QUKBx48YROAEAwEURNlEju92u++67T5ZlaejQocrOztbSpUuVnZ2toUOHyrIs3XfffZxSBwAA1SJsokYbN25UYWGhBgwYoJUrVyo+Pl7BwcGKj4/XypUrdeONN6qwsFAbN270dKkAAMALETZRo6oQOXv2bPn6Ou8uvr6+mjVrllM7AACA8xE2AQAAYAxhEzUaNGiQJGnmzJmy2WxOX31ks9k0e/Zsp3YAAADn8/d0AfBugwYNUmRkpDZv3qxmzZqptLRUkpSenq7g4GCVlpYqKiqKsAkAAKrFkU3UyM/PT3feeackqayszGlZeXm5JOmOO+6Qn5+fu0sDAAANAGETNbLb7Vq2bJk6deokHx+fC5Z36tRJy5cv56uPAABAtTiNjhplZ2fr4MGD8vHx0c0336zhw4dr3759uvrqq7Vu3Tp9/PHHsixL2dnZnEoHAAAXIGyiRt9++60k6aabbtLKlStlt9u1evVq/exnP9OkSZM0atQorVmzxtEOAADgfIRN1Oj48eOSpJSUFPn6+jqdLvf19dWYMWO0Zs0aRzsAQOPj41+k/KK98m0S5tZ+KyoqdKTiiL747gv5+7s3suQXFcvHv8itfTZWhE3UKDIyUtIPz0f/1a9+pQULFujTTz/V/v37NWnSJK1YscKpHQCg8Qlo/pke+/xZj/W/cO1Cj/Qb0HyopJ95pO/GhLCJGl111VWSpDVr1igkJESWZUmSVq9erUceecQxXdUOAND42E7Fa+7Nt6lTlPuPbG7ZvEU3DrjR7Uc2DxQW68G3D7i1z8aKsIkaJSYmKjw8XEVFRfLx8XGES0mO6fDwcCUmJnqwSgCASVZFuGLCu+iaFs3c2q/NZlO+f766RnRVQECAW/uuPHdaVgWXiNUHwiZqZLfbVVxcLOmHm4R++tOfOu5G/+qrr7R69WoVFxfLbrfzXZsAAOAChE3UaOHChaqsrNSIESO0bt06VVRUSJLWrVsnf39/JScnKzMzUwsXLtSUKVM8WywAAPA6hE3U6MCBH65X+eSTTzRq1KgLvmdz1apVTu0AAADOxxOEUKPo6GhJUo8ePZSRkaGuXbsqMDBQXbt2VUZGhrp37+7UDgAA4Hwc2USNqsLkV199pdjYWB06dEiSlJ6erg4dOui7775zagcAAHA+wiZqdPLkSUlScXGxysvL9cgjjyg6OloHDx7USy+9pPLycqd2AAAA5yNsokZRUVGSfvgezYKCAj3//POOZf7+/rrqqqv07bffOtoBAACcj2s2USsxMTE6efKkbrnlFnXs2FG33HKLTp48ybWaAACgRhzZRI0KCwslSZs3b1bz5s0dX+r+9ddfO01XtQMAADgfRzZRozZt2jj+7ePj47TM19e32nYAAABVCJuoUXx8vCQpMDBQxcXFyszM1NSpU5WZmakzZ84oMDDQqR0AAMD5CJuo0SuvvCJJKi8v1/jx4xUUFKTrrrtOQUFBGj9+vONu9Kp2AAAA5yNsokZVTwb6y1/+ot27d2vgwIGaMGGCBg4cqD179ujVV191agcAAHA+bhC6wpw9e1Z5eXm1bl91mvzgwYP629/+pn/kfK6/Z2/VsMQE3dD/eq1cudLRbseOHbXaZlxcnEJCQlwvHgAANDiEzStMXl6e+vbt6/J6Tz/9tJ5++mnH9KplbzstT09PV3p6eq22lZubqz59+rhcAwAAaHgIm1eYuLg45ebmurTOSy+9pL/+9a+KiIjQLybcoZWFzTU66pQ+WPqmvvvuO/3mN7/RQw895FINAADgykDYvMKEhIS4fFTxzTffVKtWrTRv3jy9tmCeJOk1/fAEoUceeURz5swxUCkAAGgMuEEItTJnzhyVlJRo2uNPqWmfUZr2+FMqKSkhaAIAgBpxZBO1FhgYqNsn3qdl5b11+8T+jpuHAAAALoYjmwAAADCGsAkAAABjCJsAAAAwhrAJAAAAYwibAAAAMIawCQAAAGMImwAAADCGsAkAAABjCJsAAAAwhrAJAAAAYwibAAAAMIawCQAAAGP8PV0AAADwXqU2uyRpz7en3d53SWmZth+XWn/9vUKDg9za9/7CYrf215gRNgEAwEUd+L/Q9YeM3R6qwF9v7d/mob6l0CCi0uXiNwgAAC5q+LWtJUmdosIUHODn1r73Hj2t1OW7NXdcd3Vp08ytfUs/BM2YlqFu77exIWwCAICLiggN1K3Xd/BI3xUVFZKkTpGh6naV+8Mm6gc3CAEAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYl8LmokWL1KNHD4WHhys8PFwJCQlas2aNY/m5c+c0adIktWjRQmFhYRo7dqwKCgrqvWgAAAA0DC6FzXbt2um5555Tbm6utm/friFDhmj06NH63//9X0nSww8/rI8++kjLli1TVlaWjhw5opSUFCOFAwAAwPv5u9L4lltucZp+5plntGjRIuXk5Khdu3Z67bXX9M4772jIkCGSpCVLlqhr167KyclR//79q91mWVmZysrKHNNFRUWSJJvNJpvN5tKLgXkVFRWOn7w/QO1UjRXGDOAa/uZ4L1feD5fC5vnsdruWLVumkpISJSQkKDc3VzabTcOGDXO0iYuLU4cOHbR169aLhs20tDTNnj37gvnr1q1TSEhIXcuDIYeLJclfOTk5+naPp6sBGpbMzExPlwA0KPzN8V5nz56tdVuXw+bu3buVkJCgc+fOKSwsTB988IGuueYa7dy5U4GBgWrevLlT+1atWunYsWMX3d6MGTM0depUx3RRUZHat2+v4cOHKzw83NXyYNiuQ99Ju7erf//+6tkhwtPlAA2CzWZTZmamkpOTFRAQ4OlygAaDvzneq+pMdG24HDa7dOminTt36vTp01q+fLnuuOMOZWVluboZh6CgIAUFBV0wPyAggA9lL+Tv7+/4yfsDuIbPNcA1/M3xXq68Hy6HzcDAQMXGxkqS+vbtq23btumll17S+PHjVV5erlOnTjkd3SwoKFDr1q1d7QYAAACNwGV/z2ZlZaXKysrUt29fBQQEaP369Y5le/fu1aFDh5SQkHC53QAAAKABcunI5owZMzRy5Eh16NBBZ86c0TvvvKONGzfqk08+UbNmzTRx4kRNnTpVERERCg8P1wMPPKCEhISL3hwEAACAxs2lsFlYWKjf/OY3Onr0qJo1a6YePXrok08+UXJysiRp3rx58vX11dixY1VWVqYRI0Zo4cKFRgoHAACA93MpbL722ms1Lm/SpIkWLFigBQsWXFZRAAAAaBx4NjoAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGH9PF4C6yT9RopKyCrf3e+B4ieOnv7/7d5/QIH/FtAx1e78AAKBuCJsNUP6JEg1+YaNHa0hdvttjfW+YNojACQBAA0HYbICqjmi+OL6XYqPC3Nt3aZlWbdyqUYMSFBoc5Na+9xcWa8p7Oz1yRBcAANQNYbMBi40KU7ermrm1T5vNpmORUp+OP1FAQIBb+wYAAA0PNwgBAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAY7kYHAADGnD17Vnl5eXVad+/RUyo7tl9f7AlW5cnmda4hLi5OISEhdV4fl4ewCQAAjMnLy1Pfvn0vaxu3vXl5NeTm5qpPnz6XtxHUGWETAAAYExcXp9zc3DqtW1xapo83bNXNgxMUdhkPEomLi6vzurh8hE0AAGBMSEhInY4q2u12bdiwQRXff6vy0hL17H+9/Pz8DFQI07hBCAAAeJWMjAzFxsYqOTlZ6enpSk5OVmxsrDIyMjxdGuqAsAkAALxGRkaGxo0bp+7duys7O1tLly5Vdna2unfvrnHjxhE4GyDCJgAA8Ap2u12pqakaNWqUVqxYofj4eAUHBys+Pl4rVqzQqFGjNG3aNNntdk+XChcQNgEAgFfIzs7WwYMH9dhjj8nX1zmi+Pr6asaMGcrPz1d2draHKkRdEDYBAIBXOHr0qCSpW7du1S6vml/VDg0DYRMAAHiFNm3aSJL27NlT7fKq+VXt0DAQNgEAgFdITExUdHS0nn32WVVWVjotq6ysVFpammJiYpSYmOihClEXhE0AAOAV/Pz8NHfuXK1atUpjxoxRTk6OSktLlZOTozFjxmjVqlV64YUX+L7NBoYvdQcAAF4jJSVFy5cvV2pqqgYOHOiYHxMTo+XLlyslJcWD1aEuCJsAAMCrpKSkaPTo0dqwYYPWrFmjkSNHavDgwRzRbKAImwAAwOv4+fkpKSlJJSUlSkpKImg2YFyzCQAAAGMImwAAADCGsAkAAABjCJsAAAAwhrAJAAAAYwibAAAAMIawCQAAAGMImwAAADCGsAkAAABjCJsAAAAwhrAJAAAAYwibAAAAMIawCQAAAGMImwAAADCGsAkAAABjCJsAAAAwhrAJAAAAYwibAAAAMIawCQAAAGMImwAAADCGsAkAAABj/D1dAOrGx79I+UV75dskzK39VlRU6EjFEX3x3Rfy93fv7pNfVCwf/yK39gkAAC4PYbOBCmj+mR77/FmP9b9w7UKP9BvQfKikn3mkbwAA4DrCZgNlOxWvuTffpk5R7j+yuWXzFt044Ea3H9k8UFisB98+4NY+AQDA5SFsNlBWRbhiwrvomhbN3NqvzWZTvn++ukZ0VUBAgFv7rjx3WlbFcbf2CQAALg83CAEAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjHEpbKalpem6665T06ZNFRUVpTFjxmjv3r1Obc6dO6dJkyapRYsWCgsL09ixY1VQUFCvRQMAAKBhcClsZmVladKkScrJyVFmZqZsNpuGDx+ukpISR5uHH35YH330kZYtW6asrCwdOXJEKSkp9V44AAAAvJ+/K43Xrl3rNP3GG28oKipKubm5GjhwoE6fPq3XXntN77zzjoYMGSJJWrJkibp27aqcnBz179//gm2WlZWprKzMMV1UVCRJstlsstlsLr+gK0FFRYXjp7t/R1X9eeK98eTrBi6HJ8cN0JAxdryXK++JS2Hzx06fPi1JioiIkCTl5ubKZrNp2LBhjjZxcXHq0KGDtm7dWm3YTEtL0+zZsy+Yv27dOoWEhFxOeY3W4WJJ8tfmzZv1dZhnasjMzHR7n97wuoHL4YlxAzQGjB3vc/bs2Vq3rXPYrKys1JQpU3TjjTeqW7dukqRjx44pMDBQzZs3d2rbqlUrHTt2rNrtzJgxQ1OnTnVMFxUVqX379ho+fLjCw8PrWl6j9r9HivTC7hwNGDBA17Z17+/IZrMpMzNTycnJCggIcGvfnnzdwOXw5LgBGjLGjveqOhNdG3UOm5MmTdKePXu0efPmum5CkhQUFKSgoKAL5gcEBLBjXYS/v7/jp6d+R554f7zhdQOXg881oG4YO97HlfejTl99NHnyZK1atUobNmxQu3btHPNbt26t8vJynTp1yql9QUGBWrduXZeuAAAA0IC5FDYty9LkyZP1wQcf6NNPP1VMTIzT8r59+yogIEDr1693zNu7d68OHTqkhISE+qkYAAAADYZLp9EnTZqkd955RytXrlTTpk0d12E2a9ZMwcHBatasmSZOnKipU6cqIiJC4eHheuCBB5SQkFDtzUEAAABo3FwKm4sWLZIkDRo0yGn+kiVLdOedd0qS5s2bJ19fX40dO1ZlZWUaMWKEFi5cWC/FAgAAoGFxKWxalnXJNk2aNNGCBQu0YMGCOhcFAACAxoFnowMAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYl75nE96h1GaXJO359rTb+y4pLdP241Lrr79XaHCQW/veX1js1v4AAMDlI2w2QAf+L3T9IWO3hyrw11v7t3mobyk0iN0WAICGgr/aDdDwa1tLkjpFhSk4wM+tfe89elqpy3dr7rju6tKmmVv7ln4ImjEtQ93eLwAAqBvCZgMUERqoW6/v4JG+KyoqJEmdIkPV7Sr3h00AANCwcIMQAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAoBBdrtdWVlZ2rRpk7KysmS32z1dEgC4FWETAAzJyMhQbGyskpOTlZ6eruTkZMXGxiojI8PTpQGA2xA2AcCAjIwMjRs3Tt27d1d2draWLl2q7Oxsde/eXePGjSNwArhiEDYBoJ7Z7XalpqZq1KhRWrFiheLj4xUcHKz4+HitWLFCo0aN0rRp0zilDuCKQNgEgHqWnZ2tgwcP6rHHHpOvr/PHrK+vr2bMmKH8/HxlZ2d7qEIAcB/CJgDUs6NHj0qSunXrVu3yqvlV7QCgMSNsAkA9a9OmjSRpz5491S6vml/VDgAaM8ImANSzxMRERUdH69lnn1VlZaXTssrKSqWlpSkmJkaJiYkeqhAA3IewCQD1zM/PT3PnztWqVas0ZswY5eTkqLS0VDk5ORozZoxWrVqlF154QX5+fp4uFQCM8/d0AQDQGKWkpGj58uVKTU3VwIEDHfNjYmK0fPlypaSkeLA6AHAfwiYAGJKSkqLRo0drw4YNWrNmjUaOHKnBgwdzRBPAFYWwCQAG+fn5KSkpSSUlJUpKSiJoArjicM0mABjEs9EBXOkImwBgCM9GBwDCJgAYwbPRAeAHhE0AqGc8Gx0A/oOwCQD1jGejA8B/EDYBoJ7xbHQA+A/CJgDUM56NDgD/QdgEgHrGs9EB4D8ImwBQz3g2OgD8B08QAgADeDY6APyAsAkAhqSkpGjkyJGaOnWqcnJy1L9/f6Wnpys4ONjTpQGA23AaHQAMmT59usLDw7V48WLt3LlTixcvVnh4uKZPn+7p0gDAbQibAGDA9OnT9fzzz1d7g9Dzzz9P4ARwxSBsAkA9Ky8v19y5cyVJI0eOdHpc5ciRIyVJc+fOVXl5uSfLBAC3IGwCQD17+eWXVVlZqR49eujDDz90elzlhx9+qO7du6uyslIvv/yyp0sFAOMImwBQzzZv3ixJevbZZ1VRUaH58+frz3/+s+bPn6+Kigo9/fTTTu0AoDHjbnQAqGdhYWGSpHnz5mnMmDGqqKiQJK1evVp/+MMfHF/mXtUOABozjmwCQD379a9/LUlav369IiIitHjxYi1ZskSLFy9WRESENmzY4NQOABozwiYA1LPzH0NpWZYqKyudflbXDgAaK06jA0A9e+WVVxz/PnHihO6//37HtI+Pj1O7KVOmuLM0AHA7jmwCQD07cOCAJOkvf/mL2rdv77SsQ4cOevXVV53aAUBjRtgEgHrWqVMnSVJubq7Tkcwqubm5Tu0AoDEjbAJAPbv//vvl6+urRYsW6dprr9X8+fM1efJkzZ8/X9dee60WL14sX19fp9PrANBYcc0mANQzPz8/hYWFqaioSGvXrtXq1asdy3x9f/h//LCwMPn5+XmqRABwG45sAkA9y87OVlFRkSQ53X1+/nRRUZGys7PdXhsAuBthEwDq2bfffitJ6t27t9q1a+e0rF27durdu7dTOwBozDiNDgD17Pjx45Kkf/7znxo1apQeeeQR7du3T1dffbXWrVunVatWObUDgMaMsAkA9axFixaSpPDwcO3Zs8cRLiUpOjpa4eHhKioqcrQDgMaMsAkA9ezkyZOSfrguMzg4WIsWLVKTJk107tw5zZo1y3E9Z1U7AGjMCJsAUM/OP7IZFBSk++67z7GsY8eOHNkEcEUhbAJAPas6YnnmzBkNHDhQqamp+vLLL9W5c2dlZmbq448/dmoHAI0ZYRMA6llkZKQkqVevXhdcsxkTE6NevXrpn//8p6MdADRmhE0AqIWzZ88qLy+vVm1LSkok/XA3emJiokb/IkV7879Rl5h22rF9m+P7NUtKSrRjx45a1xAXF6eQkBDXiwcADyJsAkAt5OXlqW/fvi6vl52d7QiXa3+07J577nFpW7m5uerTp4/LNQCAJxE2AaAW4uLilJubW+v2n376qaZPn64BAwao07W9lLHruFJ6RurA/+7U5s2bNWfOHA0ZMsTlGgCgoSFsAkAthISEuHRUsU+fPvrpT3+q1NRUx5HNN7b+cM3m8uXLlZKSYqpUAPAqPK4SAAxJSUnR/v379erSFWp5yyN6dekKffnllwRNAFcUjmwCgEF+fn7qlzBAoTv91S+hv/z8/DxdEgC4FUc2AQAAYAxhEwAAAMYQNgEAAGAMYRMAAADGEDYBAABgDGETAAAAxhA2AQAAYAxhEwAAAMbwpe5XmLNnzyovL6/O6+89ekplx/briz3BqjzZvE7biIuLU0hISJ1rAAAADQdh8wqTl5envn37XvZ2bnuz7uvm5ua69IxpAADQcBE2rzBxcXHKzc2t8/rFpWX6eMNW3Tw4QWHBQXWuAQAAXBlcDpubNm3S888/r9zcXB09elQffPCBxowZ41huWZZmzpypV199VadOndKNN96oRYsWqXPnzvVZN+ooJCTkso4q2mw2fX+iUAnX91NAQEA9VgYAABojl28QKikpUc+ePbVgwYJql8+ZM0fz58/X4sWL9dlnnyk0NFQjRozQuXPnLrtYAAAANCwuH9kcOXKkRo4cWe0yy7L04osv6r//+781evRoSdJf//pXtWrVSitWrNCtt956wTplZWUqKytzTBcVFUn64QiazWZztTwYVvWe8N4AtVdRUeH4ydgBao+/Od7LlfekXq/ZzM/P17FjxzRs2DDHvGbNmik+Pl5bt26tNmympaVp9uzZF8xft24ddyx7sczMTE+XADQYh4slyV85OTn6do+nqwEaHv7meJ+zZ8/Wum29hs1jx45Jklq1auU0v1WrVo5lPzZjxgxNnTrVMV1UVKT27dtr+PDhCg8Pr8/yUA9sNpsyMzOVnJzMNZtALe069J20e7v69++vnh0iPF0O0GDwN8d7VZ2Jrg2P340eFBSkoKAL72oOCAhgx/JivD9A7fn7+zt+Mm4A1/E3x/u48n7U6xOEWrduLUkqKChwml9QUOBYBgAAgCtHvYbNmJgYtW7dWuvXr3fMKyoq0meffaaEhIT67AoAAAANgMun0YuLi7V//37HdH5+vnbu3KmIiAh16NBBU6ZM0dNPP63OnTsrJiZGjz/+uNq2bev0XZwAAAC4MrgcNrdv367Bgwc7pqtu7rnjjjv0xhtvaPr06SopKdHdd9+tU6dOacCAAVq7dq2aNGlSf1UDAACgQXA5bA4aNEiWZV10uY+Pj5588kk9+eSTl1UYAAAAGr56vWYTAAAAOB9hEwAAAMYQNgEAAGAMYRMAAADGEDYBAABgDGETAAAAxhA2AQAAYAxhEwAAAMYQNgEAAGAMYRMAAADGEDYBAABgDGETAAAAxhA2AQAAYAxhEwAAAMYQNgEAAGCMv6cLAAB3yT9RopKyCrf3e+B4ieOnv7/7P3ZDg/wV0zLU7f0CgETYBHCFyD9RosEvbPRoDanLd3us7w3TBhE4AXgEYRPAFaHqiOaL43spNirMvX2XlmnVxq0aNShBocFBbu17f2Gxpry30yNHdAFAImwCuMLERoWp21XN3NqnzWbTsUipT8efKCAgwK19A4CncYMQAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGH9PFwAA7uLjX6T8or3ybRLm1n4rKip0pOKIvvjuC/n7u/djN7+oWD7+RW7tEwDOR9gEcMUIaP6ZHvv8WY/1v3DtQo/0G9B8qKSfeaRvACBsArhi2E7Fa+7Nt6lTlPuPbG7ZvEU3DrjR7Uc2DxQW68G3D7i1TwA4H2ETwBXDqghXTHgXXdOimVv7tdlsyvfPV9eIrgoICHBr35XnTsuqOO7WPgHgfNwgBAAAAGMImwAAADCGsAkAAABjCJsAAAAwhrAJAAAAYwibAAAAMIawCQAAAGMImwAAADCGsAkAAABjCJsAAAAwhsdVArgilNrskqQ93552e98lpWXaflxq/fX3Cg0Ocmvf+wuL3dofAPwYYRPAFeHA/4WuP2Ts9lAF/npr/zYP9S2FBvFxD8Az+PQBcEUYfm1rSVKnqDAFB/i5te+9R08rdfluzR3XXV3aNHNr39IPQTOmZajb+wUAibAJ4AoRERqoW6/v4JG+KyoqJEmdIkPV7Sr3h00A8CRuEAIAAIAxhE0AAAAYQ9gEAACAMYRNAAAAGEPYBAAAgDGETQAAABhD2AQAAIAxhE0AAAAYQ9gEAACAMYRNAAAAGEPYBAAAgDGETQAAABhD2AQAAIAxhE0AAAAYQ9gEAACAMYRNAAAAGEPYBAAAgDGETQAAABhD2AQAAIAxhE0AAAAYQ9gEAACAMYRNAAAAGEPYBAAAgDGETQAAABhD2AQAAIAxhE0AAAAYQ9gEAACAMYRNAAAAGEPYBAAAgDGETQAAABhD2AQAAIAxhE0AAAAYQ9gEAACAMYRNAAAAGEPYBAAAgDGETQAAABhD2AQAAIAxhE0AAAAY4+/pAgCgITh79qzy8vLqtO7eo6dUdmy/vtgTrMqTzetcQ1xcnEJCQuq8PgB4AmETAGohLy9Pffv2vaxt3Pbm5dWQm5urPn36XN5GAMDNCJsAUAtxcXHKzc2t07rFpWX6eMNW3Tw4QWHBQZdVAwA0NIRNAKiFkJCQOh9VtNls+v5EoRKu76eAgIB6rgwAvBs3CAEAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBjCJgAAAIwhbAIAAMAYwiYAAACMIWwCAADAGMImAAAAjCFsAgAAwBhjYXPBggWKjo5WkyZNFB8fr88//9xUVwAAAPBSRsLme++9p6lTp2rmzJnasWOHevbsqREjRqiwsNBEdwAAAPBSRsJmenq6fv/73+uuu+7SNddco8WLFyskJESvv/66ie4AAADgpfzre4Pl5eXKzc3VjBkzHPN8fX01bNgwbd269YL2ZWVlKisrc0wXFRVJkmw2m2w2W32Xh8tU9Z7w3gC1x7gB6oax471ceU/qPWyeOHFCdrtdrVq1cprfqlUr5eXlXdA+LS1Ns2fPvmD+unXrFBISUt/loZ5kZmZ6ugSgwWHcAHXD2PE+Z8+erXXbeg+brpoxY4amTp3qmC4qKlL79u01fPhwhYeHe7AyVMdmsykzM1PJyckKCAjwdDlAg8C4AeqGseO9qs5E10a9h82WLVvKz89PBQUFTvMLCgrUunXrC9oHBQUpKCjogvkBAQHsWF6M9wdwHeMGqBvGjvdx5f2o97AZGBiovn37av369RozZowkqbKyUuvXr9fkyZMvub5lWZJcS8xwH5vNprNnz6qoqIiBD9QS4waoG8aO96rKaVW5rSZGTqNPnTpVd9xxh/r166frr79eL774okpKSnTXXXddct0zZ85Iktq3b2+iNAAAANSTM2fOqFmzZjW2MRI2x48fr+PHj+uJJ57QsWPH1KtXL61du/aCm4aq07ZtWx0+fFhNmzaVj4+PifJwGaquqT18+DDX1AK1xLgB6oax470sy9KZM2fUtm3bS7b1sWpz/BP4P0VFRWrWrJlOnz7NwAdqiXED1A1jp3Hg2egAAAAwhrAJAAAAYwibcElQUJBmzpxZ7ddVAage4waoG8ZO48A1mwAAADCGI5sAAAAwhrAJAAAAYwibAAAAMIawCQAAAGMImw3MoEGDNGXKFE+XAdSJt+2/rtQTHR2tF1980Wg99aGh1In64c4x5cq+5ePjoxUrVlx0+caNG+Xj46NTp07VS23wboRNNAj8AUVj8MYbb6h58+YXzG9o+/edd96pMWPGeLoMNGA33HCDjh496nim9sXGRmN18OBB+fj4aOfOnZ4uxS0Im6gzy7JUUVHh6TJwBbvYPlheXu6Baho+m83m6RLgYXa7XZWVlcb7CQwMVOvWreXj42O8L1fw2WEGYbOB+/jjj9WsWTO9/fbbNbarOhIxe/ZsRUZGKjw8XPfee6/TwKqsrFRaWppiYmIUHBysnj17avny5Y7lVac91qxZo759+yooKEibN29WZWWl5syZo9jYWAUFBalDhw565plnHOsdPnxYv/zlL9W8eXNFRERo9OjROnjw4AW1vfDCC2rTpo1atGihSZMmOf7wDRo0SF9//bUefvhh+fj4eN2HE1xTUVGhyZMnq1mzZmrZsqUef/xxVX3d71tvvaV+/fqpadOmat26tW677TYVFhY61r3YPjho0CBNnjxZU6ZMUcuWLTVixAhJ0p49ezRy5EiFhYWpVatW+vWvf60TJ07UufYzZ85owoQJCg0N1VVXXaUFCxY4LU9PT1f37t0VGhqq9u3b6/7771dxcbGj9rvuukunT5927MezZs2qcf/evHmzEhMTFRwcrPbt2+vBBx9USUmJY3lhYaFuueUWBQcHKyYm5pKfAz/m4+OjRYsW6ec//7lCQ0P1zDPPyG63a+LEiY7PgS5duuill15yrDNr1iy9+eabWrlypaPejRs3Srr0WIcZlZWVmj59uiIiItS6dWvNmjXLsaymfVL6zxHFDz/8UNdcc42CgoJ06NChy963JOnEiRP6xS9+oZCQEHXu3FkffvihY9n5p9EvNjYuJTo6Wk899VSNY/LUqVP63e9+5/i7N2TIEO3atcuxfNasWerVq5f+8pe/KCYmRk2aNHGsd88996hVq1Zq0qSJunXrplWrVjnWu9TYjI6O1rPPPqvf/va3atq0qTp06KA///nPjuUxMTGSpN69e8vHx0eDBg1y6Xfb4FhoUJKSkqyHHnrIsizLevvtt62mTZtaH3300SXXu+OOO6ywsDBr/Pjx1p49e6xVq1ZZkZGR1mOPPeZo8/TTT1txcXHW2rVrrQMHDlhLliyxgoKCrI0bN1qWZVkbNmywJFk9evSw1q1bZ+3fv986efKkNX36dOsnP/mJ9cYbb1j79++3srOzrVdffdWyLMsqLy+3unbtav32t7+1/vWvf1n//ve/rdtuu83q0qWLVVZW5qgtPDzcuvfee60vvvjC+uijj6yQkBDrz3/+s2VZlnXy5EmrXbt21pNPPmkdPXrUOnr0aH3+SuFGSUlJVlhYmPXQQw9ZeXl51v/8z/84vdevvfaatXr1auvAgQPW1q1brYSEBGvkyJGO9S+2D1Zt95FHHrHy8vKsvLw86/vvv7ciIyOtGTNmWF988YW1Y8cOKzk52Ro8eLBTPVXj6VI6duxoNW3a1EpLS7P27t1rzZ8/3/Lz87PWrVvnaDNv3jzr008/tfLz863169dbXbp0se677z7LsiyrrKzMevHFF63w8HDHfnzmzJmL7t/79++3QkNDrXnz5ln79u2ztmzZYvXu3du68847Hf2NHDnS6tmzp7V161Zr+/bt1g033GAFBwdb8+bNq9VrkmRFRUVZr7/+unXgwAHr66+/tsrLy60nnnjC2rZtm/XVV1853qP33nvPsizLOnPmjPXLX/7Suummmxz1lpWV1Wqso/4lJSVZ4eHh1qxZs6x9+/ZZb775puXj4+PYL2vaJy3LspYsWWIFBARYN9xwg7VlyxYrLy/PKikpqZd9q127dtY777xjffnll9aDDz5ohYWFWSdPnrQs6z9j+fvvv7/o2LiU2ozJYcOGWbfccou1bds2a9++fVZqaqrVokULRx0zZ860QkNDrZtuusnasWOHtWvXLstut1v9+/e3rr32WmvdunXWgQMHrI8++shavXq1ZVm1G5sdO3a0IiIirAULFlhffvmllZaWZvn6+lp5eXmWZVnW559/bkmy/v73v1tHjx511NNYETYbmKo/jn/605+sZs2aOYLgpdxxxx1WRESEVVJS4pi3aNEiKywszLLb7da5c+eskJAQ6x//+IfTehMnTrQmTJhgWdZ/PhxWrFjhWF5UVGQFBQU5wuWPvfXWW1aXLl2syspKx7yysjIrODjY+uSTTxy1dezY0aqoqHC0+a//+i9r/PjxjumOHTvW+kMO3ispKcnq2rWr0/7w6KOPWl27dq22/bZt2yxJjj881e2DVdvt3bu307ynnnrKGj58uNO8w4cPW5KsvXv3OtZzJWzedNNNTvPGjx/vFIZ/bNmyZVaLFi0c00uWLLGaNWtW7bZ/vH9PnDjRuvvuu53mZWdnW76+vlZpaam1d+9eS5L1+eefO5Z/8cUXliSXAsGUKVMu2W7SpEnW2LFjHdN33HGHNXr0aKc2tRnrqH9JSUnWgAEDnOZdd9111qOPPlpt++r2SUnWzp07HfPqa9/67//+b8d0cXGxJclas2aNZVnOYbOqjurGRk0uNSazs7Ot8PBw69y5c05tOnXqZL3yyiuWZf0QNgMCAqzCwkLH8k8++cTy9fV1fE782KXGZlVtv/rVrxzLKysrraioKGvRokWWZVlWfn6+Jcn65z//6dJrbqj83XscFfVh+fLlKiws1JYtW3TdddfVer2ePXsqJCTEMZ2QkKDi4mIdPnxYxcXFOnv2rJKTk53WKS8vV+/evZ3m9evXz/HvL774QmVlZRo6dGi1fe7atUv79+9X06ZNneafO3dOBw4ccExfe+218vPzc0y3adNGu3fvrvVrQ8PRv39/p1PFCQkJmjt3rux2u3bu3KlZs2Zp165d+v777x3Xjh06dEjXXHONY53z98Eqffv2dZretWuXNmzYoLCwsAvaHjhwQFdffbXLtSckJFwwff6NPX//+9+VlpamvLw8FRUVqaKiQufOndPZs2edxl5t7Nq1S//617+cTl9alqXKykrl5+dr37598vf3d3rdcXFxLt9kUd3vcsGCBXr99dd16NAhlZaWqry8XL169bpkvbUZ66h/PXr0cJpu06aN4/KT2uyTgYGBTtv44osv6mXfOn+boaGhCg8Pd7ospj7UNCZ37dql4uJitWjRwqlNaWmp0z7ZsWNHRUZGOqZ37typdu3aXfQz4lJjs2vXrpKcX7+Pj49at25d76+/oSBsNkC9e/fWjh079Prrr6tfv371cg1j1TU8H3/8sa666iqnZUFBQU7ToaGhjn8HBwdfcrt9+/at9nqf8wd3QECA0zIfHx+3XKQO73Hu3DmNGDFCI0aM0Ntvv63IyEgdOnRII0aMuOCi/fP3wYvNKy4u1i233KI//vGPF7Rt06ZN/RavH+4uHTVqlO677z4988wzioiI0ObNmzVx4kSVl5e7HDaLi4t1zz336MEHH7xgWYcOHbRv3756qfvHv7d3331X06ZN09y5c5WQkKCmTZvq+eef12effXbJemsz1lH/Lvb5Wdt9Mjg42Mi18J7+XC8uLlabNm0c1xSf7/zg/OMxUJu/azWNzSqefv3ehLDZAHXq1Elz587VoEGD5Ofnpz/96U+1Wm/Xrl0qLS11DKScnByFhYWpffv2ioiIcFwYnpSUVOtaOnfurODgYK1fv16/+93vLljep08fvffee4qKilJ4eHitt/tjgYGBstvtdV4f3uPHoSUnJ0edO3dWXl6eTp48qeeee07t27eXJG3fvr3O/fTp00fvv/++oqOj5e9fPx91OTk5F0xXHcXIzc1VZWWl5s6dK1/fH+69/Nvf/ubU/mL7cXXz+/Tpo3//+9+KjY2ttpa4uDhVVFQoNzfXcYZj7969l/29hVu2bNENN9yg+++/3zHvx0cmL1ZvfYx11J/a7JPVMbVv1aSun/E1jck+ffro2LFj8vf3V3R0dK232aNHD33zzTfat29ftUc3LzU2ayMwMFCSrpi/a9yN3kBdffXV2rBhg95///1af6FveXm5Jk6cqH//+99avXq1Zs6cqcmTJ8vX11dNmzbVtGnT9PDDD+vNN9/UgQMHtGPHDr388st68803L7rNJk2a6NFHH9X06dP117/+VQcOHFBOTo5ee+01SdLtt9+uli1bavTo0crOzlZ+fr42btyoBx98UN98802tX290dLQ2bdqkb7/99rLuJobnHTp0SFOnTtXevXu1dOlSvfzyy3rooYfUoUMHBQYG6uWXX9ZXX32lDz/8UE899VSd+5k0aZK+++47TZgwQdu2bdOBAwf0ySef6K677qrzB/yWLVs0Z84c7du3TwsWLNCyZcv00EMPSZJiY2Nls9kc9b/11ltavHix0/rR0dEqLi7W+vXrdeLECZ09e9Yx/8f796OPPqp//OMfmjx5snbu3Kkvv/xSK1eu1OTJkyVJXbp00U033aR77rlHn332mXJzc/W73/3ukkdlLqVz587avn27PvnkE+3bt0+PP/64tm3bdsHr+Ne//qW9e/fqxIkTstls9TbWUX9qs09Wx9S+VZOLjY1LqWlMDhs2TAkJCRozZozWrVungwcP6h//+If+3//7fzX+j2xSUpIGDhyosWPHKjMzU/n5+VqzZo3Wrl0r6dJjszaioqIUHBystWvXqqCgQKdPn671ug0RYbMB69Kliz799FMtXbpUqampl2w/dOhQde7cWQMHDtT48eP185//3OnrJZ566ik9/vjjSktLU9euXXXTTTfp448/dnxFw8U8/vjjSk1N1RNPPKGuXbtq/PjxjutSQkJCtGnTJnXo0EEpKSnq2rWrJk6cqHPnzrl09OPJJ5/UwYMH1alTJ07JNXC/+c1vVFpaquuvv16TJk3SQw89pLvvvluRkZF64403tGzZMl1zzTV67rnn9MILL9S5n7Zt22rLli2y2+0aPny4unfvrilTpqh58+aOozyuSk1N1fbt29W7d289/fTTSk9Pd3zNUs+ePZWenq4//vGP6tatm95++22lpaU5rX/DDTfo3nvv1fjx4xUZGak5c+ZIqn7/7tGjh7KysrRv3z4lJiaqd+/eeuKJJ9S2bVvH9pYsWaK2bdsqKSlJKSkpuvvuuxUVFVWn11blnnvuUUpKisaPH6/4+HidPHnS6SinJP3+979Xly5d1K9fP0VGRmrLli31NtZRf2qzT16MiX2rJhcbG5dS05j08fHR6tWrNXDgQN111126+uqrdeutt+rrr79Wq1atatzu+++/r+uuu04TJkzQNddco+nTpzv+J7U2Y/NS/P39NX/+fL3yyitq27atRo8eXet1GyIfy/q/L7hDo3bnnXfq1KlTNT4+DACAhiI6OlpTpkzxqkfgonoc2QQAAIAxhM1GIiws7KL/ZWdne7o8wKtlZ2fXOIYaorfffvuir+faa6/1dHlowNyxbzXGMXkl4zR6I7F///6LLrvqqquMXtgNNHSlpaX69ttvL7r8cu469ZQzZ86ooKCg2mUBAQHq2LGjmytCY+GOfasxjskrGWETAAAAxnAaHQAAAMYQNgEAAGAMYRMAAADGEDYBAABgDGETAAAAxhA2AQAAYAxhEwAAAMb8f3eueQeF8WD2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column=['k_percent', 'barrel_batted_rate', 'hard_hit_percent'], figsize=(8,8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column=['p_run', 'p_earned_run'], figsize=(8,8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.boxplot(column='p_era', figsize=(8,4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.home_run.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.p_win.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.p_loss.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.p_run.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.p_earned_run.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.k_percent.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.p_era.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.barrel_batted_rate.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.hard_hit_percent.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.win_loss_pct.hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Deeper Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "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>p_win</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lack_of_run_support</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>False</th>\n",
       "      <td>790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>True</th>\n",
       "      <td>209</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     p_win\n",
       "lack_of_run_support       \n",
       "False                  790\n",
       "True                   209"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.pivot_table(df, index='lack_of_run_support', aggfunc='count', values='p_win')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "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>barrel_batted_rate</th>\n",
       "      <th>hard_hit_percent</th>\n",
       "      <th>home_run</th>\n",
       "      <th>k_percent</th>\n",
       "      <th>p_earned_run</th>\n",
       "      <th>p_era</th>\n",
       "      <th>p_loss</th>\n",
       "      <th>p_run</th>\n",
       "      <th>p_win</th>\n",
       "      <th>win_loss_pct</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lack_of_run_support</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>False</th>\n",
       "      <td>6.85</td>\n",
       "      <td>36.3</td>\n",
       "      <td>20.0</td>\n",
       "      <td>21.2</td>\n",
       "      <td>71.0</td>\n",
       "      <td>4.28</td>\n",
       "      <td>8.0</td>\n",
       "      <td>76.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>1.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>True</th>\n",
       "      <td>6.30</td>\n",
       "      <td>35.3</td>\n",
       "      <td>18.0</td>\n",
       "      <td>22.2</td>\n",
       "      <td>65.0</td>\n",
       "      <td>3.65</td>\n",
       "      <td>9.0</td>\n",
       "      <td>71.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     barrel_batted_rate  hard_hit_percent  home_run  \\\n",
       "lack_of_run_support                                                   \n",
       "False                              6.85              36.3      20.0   \n",
       "True                               6.30              35.3      18.0   \n",
       "\n",
       "                     k_percent  p_earned_run  p_era  p_loss  p_run  p_win  \\\n",
       "lack_of_run_support                                                         \n",
       "False                     21.2          71.0   4.28     8.0   76.0   10.0   \n",
       "True                      22.2          65.0   3.65     9.0   71.0    9.0   \n",
       "\n",
       "                     win_loss_pct  \n",
       "lack_of_run_support                \n",
       "False                        1.25  \n",
       "True                         1.00  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.pivot_table(df, index='lack_of_run_support', aggfunc='median', values=['home_run',\n",
    "                                                                            'k_percent',\n",
    "                                                                            'p_earned_run', 'p_era', 'p_run', \n",
    "                                                                            'p_win', 'p_loss', 'win_loss_pct',\n",
    "                                                                            'barrel_batted_rate', 'hard_hit_percent'])\n",
    "# Only numbers higher for TRUE is k_percent and p_loss\n",
    "# ERA is better for TRUE significantly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "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>p_earned_run</th>\n",
       "      <th>p_run</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lack_of_run_support</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>False</th>\n",
       "      <td>69.078481</td>\n",
       "      <td>74.108861</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>True</th>\n",
       "      <td>61.866029</td>\n",
       "      <td>67.306220</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     p_earned_run      p_run\n",
       "lack_of_run_support                         \n",
       "False                   69.078481  74.108861\n",
       "True                    61.866029  67.306220"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.pivot_table(df, index='lack_of_run_support', values=['p_run', 'p_earned_run'])\n",
    "# FALSE: 74.108861 - 69.078481 = 5.03038\n",
    "# TRUE: 67.306220 - 61.866029 = 5.440191\n",
    "#-> TRUE lets up more unearned runs than FALSE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Additional Cleaning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Remove outliers\n",
    "#-> Outliers in this data set are a natural part of the 'population' being studied\n",
    "#-> Thus they shouldn't be removed\n",
    "\n",
    "# Remove unwanted columns\n",
    "#-> ERA and win-loss percent were used to create lack column\n",
    "#-> Should probably remove these since they will have a really strong impact on the contributions\n",
    "\n",
    "# Normalize the data?\n",
    "#-> The only non-normal column is win-loss-pct\n",
    "#-> This was used to create lack column\n",
    "#-> As mentioned above, we should probably get rid of columns that contributed to lack\n",
    "\n",
    "# Check for strong correlations to deal with\n",
    "\n",
    "# Create column for total of unearned runs as this has a positive correlation with lack"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total\tEarned\tUnearned\n",
      "94 \t 90 \t 4\n",
      "64 \t 58 \t 6\n",
      "62 \t 61 \t 1\n",
      "100 \t 84 \t 16\n",
      "92 \t 88 \t 4\n",
      "76 \t 70 \t 6\n",
      "97 \t 93 \t 4\n",
      "99 \t 99 \t 0\n",
      "71 \t 67 \t 4\n",
      "73 \t 69 \t 4\n"
     ]
    }
   ],
   "source": [
    "# Create Column For Unearned Runs\n",
    "df['p_unearned_run'] = df.p_run - df.p_earned_run\n",
    "\n",
    "print('Total\\tEarned\\tUnearned')\n",
    "for i in range(10):\n",
    "    print(df.p_run[i],'\\t',df.p_earned_run[i],'\\t',df.p_unearned_run[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Drop Unwanted Columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Remove variables that contributed with the creation of lack_of_run_support variable\n",
    "df = df.drop(columns=['win_loss_pct', 'p_era'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Drop columns that have an end result (wins, losses)\n",
    "df = df.drop(columns=['p_win', 'p_loss'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Drop the 'unnamed' column\n",
    "df = df.drop(columns='Unnamed: 0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Re-issue the correlation matrix\n",
    "#-> Create data frame of only numeric columns\n",
    "df_numeric = df.drop(columns=['last_name, first_name'])\n",
    "\n",
    "#-> Re-calculate the correlations\n",
    "correlation = df_numeric.corr()\n",
    "\n",
    "#-> Re-plot the correlation matrix\n",
    "sns.heatmap(correlation, annot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* p_earned_run & p_run -> 0.99\n",
    "  * At least one needs to go\n",
    "* p_earned_run & lack_of_run_support -> -0.14\n",
    "* p_run & lack_of_run_support -> -0.13\n",
    "  * REMOVE p_run\n",
    "* home_run & p_earned_run -> 0.78\n",
    "* home_run & lack_of_run_support -> -0.15\n",
    "* p_earned_run & lack_of_run_support -> -0.14\n",
    "  * REMOVE p_earned_run\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Drop some columns if there is a strong correlation between them\n",
    "#-> \"Strong\" correlation is considered to be < 0.75\n",
    "#-> https://www.statology.org/what-is-a-strong-correlation/\n",
    "\n",
    "df = df.drop(columns=['p_earned_run', 'p_run'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sort the columns by player\n",
    "df = df.sort_values(['last_name, first_name', 'year'], ascending=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    last_name, first_name  year  home_run  k_percent  barrel_batted_rate  \\\n",
      "308          Adleman, Tim  2017        29       20.3                 7.9   \n",
      "586      Alcantara, Sandy  2019        23       18.0                 6.5   \n",
      "774      Alcantara, Sandy  2021        21       24.0                 6.1   \n",
      "863      Alcantara, Sandy  2022        16       23.4                 5.3   \n",
      "952      Alcantara, Sandy  2023        22       19.8                 7.0   \n",
      "\n",
      "     hard_hit_percent  lack_of_run_support  p_unearned_run  \n",
      "308              32.7                False               4  \n",
      "586              34.3                 True               9  \n",
      "774              39.4                 True              12  \n",
      "863              38.5                False               9  \n",
      "952              40.6                False               6  \n"
     ]
    }
   ],
   "source": [
    "print(df.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exporting New Data Frame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make sure to set index to False to avoid unwanted columns\n",
    "df.to_csv('stats_EDA.csv', index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".capstone_venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}