Gaia SSO Source.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import matplotlib as mpl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "2465\n",
      "3862\n",
      "3997\n",
      "3775\n",
      "14099\n"
     ]
    }
   ],
   "source": [
    "data_dir = '/epyc/data/gaia_dr2_sso'\n",
    "source_files = [f for f in os.listdir(data_dir) if \"Source\" in f]\n",
    "\n",
    "# Read source files. \n",
    "sources = []\n",
    "for f in source_files:\n",
    "    sources.append(pd.read_csv(os.path.join(data_dir, f)))\n",
    "\n",
    "# Join split catalogs into one.\n",
    "print(len(sources))\n",
    "for s in sources:\n",
    "    print(len(s))\n",
    "sources = pd.concat(sources)\n",
    "print(len(sources))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "345784\n",
      "546020\n",
      "545878\n",
      "540020\n",
      "1977702\n"
     ]
    }
   ],
   "source": [
    "data_dir = '/epyc/data/gaia_dr2_sso'\n",
    "obs_files = [f for f in os.listdir(data_dir) if \"Observation\" in f]\n",
    "\n",
    "# Read obs files\n",
    "obs = []\n",
    "for f in obs_files:\n",
    "    obs.append(pd.read_csv(os.path.join(data_dir, f)))\n",
    "# Join split catalogs into one.\n",
    "print(len(obs))\n",
    "for o in obs:\n",
    "    print(len(o))\n",
    "obs = pd.concat(obs)\n",
    "print(len(obs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read in some external catalogs - LCDB and SDSS and ASTORB\n",
    "import sys\n",
    "sys.path.extend(['/data/epyc/users/lynnej/ssdpu'])\n",
    "\n",
    "import catalog_utils as cu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "lcdb = cu.read_lcdb('/data/epyc/users/lynnej/ssdpu/LCLIST_PUB_2018MAR/LC_SUM_PUB.TXT')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "astorb = cu.read_astorb('/data/epyc/users/lynnej/ssdpu/catalogs/astorb.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "sdss = cu.read_sdss_moc('/data/epyc/users/lynnej/ssdpu/catalogs/ADR4.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14099 14099\n"
     ]
    }
   ],
   "source": [
    "matched = sources.merge(astorb, how='inner', left_on='number_mp', right_on='numberId')\n",
    "print(len(matched), len(sources))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14099 471569 8921\n"
     ]
    }
   ],
   "source": [
    "# There aren't SDSS colors for all of these objects in the MOC ... most matches on numberId\n",
    "colors = matched.merge(sdss, how='inner', on='numberId')\n",
    "print(len(matched), len(sdss), len(colors))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "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>designation_x</th>\n",
       "      <th>designation_y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2000_EG39</td>\n",
       "      <td>2000_EG39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2000_EF47</td>\n",
       "      <td>2000_EF47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2000_EF47</td>\n",
       "      <td>2000_EF47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2000_EF47</td>\n",
       "      <td>2000_EF47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2000_EN84</td>\n",
       "      <td>2000_EN84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2000_EN84</td>\n",
       "      <td>2000_EN84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2000_EF151</td>\n",
       "      <td>2000_EF151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2000_EF151</td>\n",
       "      <td>2000_EF151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2000_FO25</td>\n",
       "      <td>2000_FO25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000_FO25</td>\n",
       "      <td>2000_FO25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2000_FK39</td>\n",
       "      <td>2000_FK39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Madzlandon</td>\n",
       "      <td>2000_FT41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Madzlandon</td>\n",
       "      <td>2000_FT41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Madzlandon</td>\n",
       "      <td>2000_FT41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2000_GX88</td>\n",
       "      <td>2000_GX88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2000_GX88</td>\n",
       "      <td>2000_GX88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2000_GY92</td>\n",
       "      <td>2000_GY92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2000_JJ66</td>\n",
       "      <td>2000_JJ66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2001_FK143</td>\n",
       "      <td>2001_FK143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2001_FK143</td>\n",
       "      <td>2001_FK143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2001_FK143</td>\n",
       "      <td>2001_FK143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1986_TS</td>\n",
       "      <td>1986_TS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1987_QM</td>\n",
       "      <td>1987_QM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1992_CG3</td>\n",
       "      <td>1992_CG3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1992_JL</td>\n",
       "      <td>1992_JL</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1992_WB</td>\n",
       "      <td>1992_WB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1992_WB</td>\n",
       "      <td>1992_WB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1992_WB</td>\n",
       "      <td>1992_WB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1994_RN12</td>\n",
       "      <td>1994_RN12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1995_BC4</td>\n",
       "      <td>1995_BC4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8891</th>\n",
       "      <td>Korinthos</td>\n",
       "      <td>Korinthos</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8892</th>\n",
       "      <td>Seifert</td>\n",
       "      <td>Seifert</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8893</th>\n",
       "      <td>Fyodorov</td>\n",
       "      <td>Fyodorov</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8894</th>\n",
       "      <td>Fyodorov</td>\n",
       "      <td>Fyodorov</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8895</th>\n",
       "      <td>Fyodorov</td>\n",
       "      <td>Fyodorov</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8896</th>\n",
       "      <td>Quincy</td>\n",
       "      <td>Quincy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8897</th>\n",
       "      <td>Quincy</td>\n",
       "      <td>Quincy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8898</th>\n",
       "      <td>Quincy</td>\n",
       "      <td>Quincy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8899</th>\n",
       "      <td>Tadamori</td>\n",
       "      <td>Tadamori</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8900</th>\n",
       "      <td>Suruga</td>\n",
       "      <td>Suruga</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8901</th>\n",
       "      <td>Durbin</td>\n",
       "      <td>Durbin</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8902</th>\n",
       "      <td>Durbin</td>\n",
       "      <td>Durbin</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8903</th>\n",
       "      <td>Dawe</td>\n",
       "      <td>Dawe</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8904</th>\n",
       "      <td>Danbritt</td>\n",
       "      <td>Danbritt</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8905</th>\n",
       "      <td>Jalopez</td>\n",
       "      <td>Jalopez</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8906</th>\n",
       "      <td>Jalopez</td>\n",
       "      <td>Jalopez</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8907</th>\n",
       "      <td>Jalopez</td>\n",
       "      <td>Jalopez</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8908</th>\n",
       "      <td>Jalopez</td>\n",
       "      <td>Jalopez</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8909</th>\n",
       "      <td>Jalopez</td>\n",
       "      <td>Jalopez</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8910</th>\n",
       "      <td>Jalopez</td>\n",
       "      <td>Jalopez</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8911</th>\n",
       "      <td>Chiara</td>\n",
       "      <td>Chiara</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8912</th>\n",
       "      <td>Tsunemori</td>\n",
       "      <td>Tsunemori</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8913</th>\n",
       "      <td>Kochibunkyo</td>\n",
       "      <td>Kochibunkyo</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8914</th>\n",
       "      <td>Chephren</td>\n",
       "      <td>Chephren</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8915</th>\n",
       "      <td>Mycerinos</td>\n",
       "      <td>Mycerinos</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8916</th>\n",
       "      <td>Golden</td>\n",
       "      <td>Golden</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8917</th>\n",
       "      <td>Roerich</td>\n",
       "      <td>Roerich</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8918</th>\n",
       "      <td>Holeungholee</td>\n",
       "      <td>Holeungholee</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8919</th>\n",
       "      <td>Holeungholee</td>\n",
       "      <td>Holeungholee</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8920</th>\n",
       "      <td>Nikulin</td>\n",
       "      <td>Nikulin</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8921 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     designation_x designation_y\n",
       "0        2000_EG39     2000_EG39\n",
       "1        2000_EF47     2000_EF47\n",
       "2        2000_EF47     2000_EF47\n",
       "3        2000_EF47     2000_EF47\n",
       "4        2000_EN84     2000_EN84\n",
       "5        2000_EN84     2000_EN84\n",
       "6       2000_EF151    2000_EF151\n",
       "7       2000_EF151    2000_EF151\n",
       "8        2000_FO25     2000_FO25\n",
       "9        2000_FO25     2000_FO25\n",
       "10       2000_FK39     2000_FK39\n",
       "11      Madzlandon     2000_FT41\n",
       "12      Madzlandon     2000_FT41\n",
       "13      Madzlandon     2000_FT41\n",
       "14       2000_GX88     2000_GX88\n",
       "15       2000_GX88     2000_GX88\n",
       "16       2000_GY92     2000_GY92\n",
       "17       2000_JJ66     2000_JJ66\n",
       "18      2001_FK143    2001_FK143\n",
       "19      2001_FK143    2001_FK143\n",
       "20      2001_FK143    2001_FK143\n",
       "21         1986_TS       1986_TS\n",
       "22         1987_QM       1987_QM\n",
       "23        1992_CG3      1992_CG3\n",
       "24         1992_JL       1992_JL\n",
       "25         1992_WB       1992_WB\n",
       "26         1992_WB       1992_WB\n",
       "27         1992_WB       1992_WB\n",
       "28       1994_RN12     1994_RN12\n",
       "29        1995_BC4      1995_BC4\n",
       "...            ...           ...\n",
       "8891     Korinthos     Korinthos\n",
       "8892       Seifert       Seifert\n",
       "8893      Fyodorov      Fyodorov\n",
       "8894      Fyodorov      Fyodorov\n",
       "8895      Fyodorov      Fyodorov\n",
       "8896        Quincy        Quincy\n",
       "8897        Quincy        Quincy\n",
       "8898        Quincy        Quincy\n",
       "8899      Tadamori      Tadamori\n",
       "8900        Suruga        Suruga\n",
       "8901        Durbin        Durbin\n",
       "8902        Durbin        Durbin\n",
       "8903          Dawe          Dawe\n",
       "8904      Danbritt      Danbritt\n",
       "8905       Jalopez       Jalopez\n",
       "8906       Jalopez       Jalopez\n",
       "8907       Jalopez       Jalopez\n",
       "8908       Jalopez       Jalopez\n",
       "8909       Jalopez       Jalopez\n",
       "8910       Jalopez       Jalopez\n",
       "8911        Chiara        Chiara\n",
       "8912     Tsunemori     Tsunemori\n",
       "8913   Kochibunkyo   Kochibunkyo\n",
       "8914      Chephren      Chephren\n",
       "8915     Mycerinos     Mycerinos\n",
       "8916        Golden        Golden\n",
       "8917       Roerich       Roerich\n",
       "8918  Holeungholee  Holeungholee\n",
       "8919  Holeungholee  Holeungholee\n",
       "8920       Nikulin       Nikulin\n",
       "\n",
       "[8921 rows x 2 columns]"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colors[['designation_x', 'designation_y']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14099 19966 4477\n"
     ]
    }
   ],
   "source": [
    "periods = matched.merge(lcdb, how='inner', left_on='designation', right_on='Name')\n",
    "print(len(matched), len(lcdb), len(periods))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8921 19966 2499\n"
     ]
    }
   ],
   "source": [
    "periods = colors.merge(lcdb, how='inner', left_on='designation_x', right_on='Name')\n",
    "print(len(colors), len(lcdb), len(periods))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2.96\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3361216c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n, b, p = plt.hist(sdss.sdssa, bins=np.arange(-1, 3, 0.1))\n",
    "print(sdss.sdssa.min())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'Eccentricity')"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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DxCfEBDskEREREZEaScWsiA8dyDiEwxjycgvIzy1QMSs1lgXcYXZdjoiISCgLx9ysYlbEh/qf3oW7n72K5Pq1Sa6XEOxwRPzIhN1QJhERkdAWfrlZxayIDxljOOG0zsEOQ8TvPPeyC69vf0VEREJZOOZmFbMiIlIlLsLr218REZFQF265ObzOVqQM67an8/HsFeQVFAY7lGJbDhzglPde5fZvpgU7FBERERGRkKOeWQl71lrGPD4Jt9uSfuAw1599QrBDAuDhOd+y8fA+Nh7ex92HB1E/vlawQxIpZjFhN5RJREQklIVjblbPrIQ9YwyN6yXicluaN0g6Zv32jAMMeXACl/5rYkB7bi9s1xkHhpTIeFJi4wJ2XJGKcuPw6iEiIiK+FW65WT2zEjIO5ufxxNwfaFunLqM79wzosSfefwVZ2bnUrR1/zLplW3aRlZ3LgUM57Mk8RNOUYwtefxiR1o4RaX8JyLFEKstacIXZt78iIiKhLBxzs4pZCRmfrFvNB2tW4LKWEa3bkRJ7bGHpL5ERzlILWYChXdP4dfseGiYnBKyQrar3P5jH7DlruPOOM2nRPCXY4UgNF25DmUREREJduOVmFbMSMk5MbUZyTCytk+qQHB0b7HCKRUdGcMe5g4IdRoW8+tr3uFxupn62mD+PHxbscERERERE/EbFrISMNsl1mX/ljcEOo1q7clR/Zs9Zy4gzuwc7FKnhPJNMVL9ra0RERGqqcMzNKmZFapCrRg3kqlEDgx2GhAkX4TWUSUREJNSFW25WMSsSALNm/0piYhw9ujYLdigiPmEJv+tyREREQlk45ubw6ocWv7tt2nQ6PP0MX69fH+xQyrV5/z7W780IyLGmfLaYhx6bym13TWL9pj0BOaaIiIiISE2nnlnxqe82bqTA5WLmxk2c1qZNsMMp1bLdOxj54vtg4eVrzuXkFq39ejy32xY/tyWei1Rv4XddjoiISGgLv9wc0LM1xgw3xqwxxqw3xtxdyvpxxpgVxpilxpg5xpiOJdbdU9RujTHm9EDGLRX3wjnncFWPHtza/8Rgh1KmjOzDnnEYwK6Dh45Yt+XAPh6cM4PM3ByfHe+ic3tx719G8NRjl5DWuoHP9isSbG6MVw8JDcrNIiI1h79zcwVyxsnGmMXGmEJjzEVHrRttjFlX9Bjti/MNWM+sMcYJPA+cBmwHFhhjplprV5fY7F1r7UtF258D/BsYXpQ4RwKdgFTgG2NMW2utK1DxS8UMaN6MAc1D+7rQU1u15a7zTyK3oJBLu3Q7Yt2w6S/hjnTx2ZQVLL78Dp8dc9iQThXeduOmdABatazns+OL+Fo43pi9JlJuFhGpOfydmyuYM7YCY4A7j2pbB3gQ6I2nW2lRUdv93sQUyJ7ZvsB6a+1Ga20+MAk4t+QG1tqsEi/jKe4/41xgkrU2z1q7CVhftD+RSnnvl+V0ef1Z8o1lXN+ye4/dAYyppE1bMhh369vceOvbbNoSmGt6RarKbR1ePSQkKDeLiNQgfs7NFckZm621yzn24/TpwNfW2n1FBezXwHBvzzeQ18w2BraVeL0d6Hf0RsaYm4HbgShgSIm2c49q27iUttcD1wOkpqaSkRHexUBmZmawQwi6o9+Db+Ysoe1aw/cFK7mgSatjtv+o/2VM2/gLl7bvFpSfn+zDWaQ2iMEWPfdFCGX9HGxevZqPn53GgHN70Hf4UO8PFML0uyBSJuXmo1SHvxehHmOoxwehH2OoxweKsQZLMcYsLPF6grV2QtHzCuWMMpTW9picUVmBLGZL6/M+ZjYca+3zwPPGmMuB+4HRlWg7AZgA0L17d5uSkuJVwDWB3oMj34M1MzKwbotjSx4p1x/73qSkpNClRctAhnfM8R954FIAmjWp69P9Hu3mKyewb1seCz/bzFe5I312rFCl3wXf8tyYXcOMawDl5lIoRu+FenwQ+jGGenygGEONj3JzhrW2dxnrKvR33w9tyxTIcV7bgaYlXjcBdpaz/STgvCq2lWpk18GDLN61E2v9P9NvbFwkAAkJMX4/VlU1a1LXp4VsWXqf1hyAph3i/X4sqZk0AVSNoNwsIlKD+Dk3e/N33y85I5A9swuANGNMS2AHnkkjLi+5gTEmzVq7rujlCOD351OBd40x/8YzyUQaMD8gUYtf5RUWMnziG+S73Dx52umc3ba9X4/35Ws3s2T1Dnp09HpUQ7X3l1cf5faXXTidzgptfyAzm8ysHJo39X+hLaEvHG/MXkMpN4uI1BAByM3HzRnl+Ap4zBiTXPR6GHCPtwEFrJi11hYaY8bjOREn8Jq1dpUx5hFgobV2KjDeGDMUKAD24xnGRNF2HwCrgULgZs2WKFXhdDrp3aVisy2/u3oZD/z4LVd37sl9Jw72b2BBUtFCNi+vgCvHvkpebgEP3Xsu/U8IzXsIi0jlKDeLiEhFVSRnGGP6AB8DycDZxpiHrbWdrLX7jDF/w1MQAzxird3nbUyB7JnFWjsdmH7UsgdKPL+lnLaPAo/6LzoJhuiICL4aNYZdBw/So1FqsMM5wozN6yl0u/ly07oaW8xWlMttKch3YYzhcHZesMOREKEZiWsG5WYRkZrD37m5AjljAZ4hxKW1fQ14zZfxBLSYFSlNw1oJNKyVEOwwjvHwgFN5dcVCLmxb8XvE1lRxsVFMeO4qdv+WRZ+eLYIdjoQCqwmgREREQkoY5mYVsyJlaJ6YxN8G1uxb1lRGoCamkurBgiZxEhERCSHhmJs1RkwCzu223Pm/zznv72+wPeMAAOm5mezI3hvkyEo3Y9LPPHHj/zh8MCfYoYiEFHfRN8BVfYiIiIhvhVtuVjErAXfgcA7fLVvP9vRMZq/aREZeFpf9/BRXzv0Xv2ZtK7Pdmg3befq/k8k8eDhgseZm5/Gvq59n5hvf8cQNrwbsuCIiIiIiUj4NM5aAq5MQx7gzTmDtzgzO6N2eXHcubuvGYMhx5ZfZbvzJ92PTs5k/Yynvfv63gMQaEeUkIi6awsO5pHVvEZBjilQHujWPiIhIaAnH3BzWxezew9kcysuneZ2kYIcSdq4/44QSr2J5uc94sl15dEtqWWYbZ+0YCvdkUyslcJNFRUREMHnbC+zbk0Vqi3oBO65IdRBuCVNERCTUhVtuDttiNis3l2HPvk6hy8UrV1xA3xalziAtAZKWcORteV5eOo/HFn5PpMPBmtG34XQ6+XDBv1m4dB2D+nep8nHWp+/lP9//xCXdOzOoTdmFc0kxcdEqZEWOYqme19aIiIjUVOGYm8P2mtkClxuXy40xhkN5um9mZc3dvYX2Hz5Kt8lPcrig7KHBVfX+uhUAFLjdbDmYCUBCrThOGdgNh6PqP7b/mvUjX69Zzz2fz/BJnCLhzI3x6iEiIiK+FW65OWyL2brxcbx/3WW8MPIcTmnbKtjhVDufbVmF27jJtnms2rcLgHV793LbV9OZv2O71/t/dvDZJERG0Sa+LpNXr+JgiS8cnl87iTNn3s/3v82v9H4v7NqROnGxXNqjcr27L349lxH/eJ1lW3ZV+pgiIiIiIuJ7YTvMGKBdgxQgJdhhVEt3dB3M0r07aBKXRN8GzQH42+yZzNm6hUU7d/DD1WO92n+neg1YdMV4Or34XyZkLCA+Moqb+vQD4K2Ny7DAIys/4dsGfSu136Ht2jC0XZtKx/ParAXk5Bfy4dzldGveqNLtq8Lttjzy8hfsSs/i8VvOoU5iXECOK1IhNvyuyxEREQlpYZibw7ZnVrxTJzaOaWeO5eXBFxcvO79dR2pFRXFBh07ku1xc+sYkbvn48yofI8rppFejVJwOB71TGxcvbxQbCUD/us2qfgKV9H9nD6JPqyaMGdQrYMfcmZ7J1z+vZdXG3fy0dGPAjitSEb/PmBhO97ITEREJZeGYm8O6Z1Z86/wOHTm/Q0cAbvroU5YWDcmd1m4NIzq2A8Bayw3zJ/BL5k6e73MtXZNLL0gXLtxITHwUJzVpwbAWbejb+I8Juj4Z9Iifz+RYF5/QlYtP6BrQY6bWS+TsQZ3YmZ7JST1bB/TYx+MqdPHnyR/zTfYWnh1yDsOapwU7JAmC6pj0REREarJwy80qZsUv+jZvwrerPL2J7er9MZQ7z13A8v1bMcawdP/mUovZqZ8u4tl/fIEFNp8XhTvSSUpcPOd27BCo8EOCw2G4+9rTgh1GqR79vw9YP+sXkjpGMKP1ehWzIiIiIhJwKmbFL8b06cWwtm2Ii4oiKTa2eHmMM4rHu1/GysztXNCs9OtdDx7MLX7ucIErGmpHRjHt+2UMH9gZp9Pp9/ilfPszDhHhcNDCUZs7ew0MdjgSBOE4/b+IiEgoC8fcrGJW/CY1MbHU5ac07MwpDTuX2e6KUQOIiYnkYGQBec0iOalxC66/+21sluWZD75nxvN/9jq2u76ezvqMfbxy3gXUiQ38xErZ2dm8+cVibrywehaCDz59OUvmbqDvSW2Jj48JdjgSJDbMEqaIiEioC7fcrGJWQtKFFx3Za+vKtziA7JwCr/e9YvcuZny8GncEPFZ3Jv8cNsLrfVbWwFtepDDe8MqX81j8yh0BP763kurEc8qZgb2GWEJPdbwfnYiISE0WbrlZsxlLla3ft5ez3nubp36a7fdjPf1/F9CpWwNef/AKr/e1Z8MBau201N5i6RXf0AfRVZ470hzxr0h1Y234zZgoIiISysIxN6tnVqps8upV/JK+h9Xpe7jjxIE4TOm/AJn5ORS63NSNja/ysfp1bUW/rq2q3L6kTmmpJMbHUCsumnN7dDlmfdaBbHZs20uHLk19cjyAVcu2ERnppG3HVAD6N2/CvHXbGNzZN+ckIiIiIhJuVMxKlV3SuQsLd+1gUPOWZRayC3ft4KKp7wHw31NHcE6bys1IfMG0t1mcsZPTm7bh5SEXeh0zQMP6iXw+8U+lrissdDHy1Cdxu9xcOHoAY2873evj/bpyO3ff/BYAL04cR5PmdXnhrku83q9IsPn7uhxjzHDgGcAJvGqtfeKo9bcD1wGFQDpwjbV2i1+DEhERCWG6ZlakglomJfPhxZeVu83C33YUP/9px5ZKF7OLM3aCga+3bwA896md9c1qEpNi6dnH972a7kI3bpcbgB1b9/pkn9ExkQAYY4iM0kzMUlP4dziSMcYJPA+cBmwHFhhjplprV5fYbAnQ21qbbYy5EXgSuNRvQYmIiIS06jlU2BsqZsWvxnXvy887t3K4oIBHB1b+nqlnNW/H9K1rGdO+JwDzflrPvx77DLfb8r/3xtEoNdmn8UbFRHL/v0aydMEmrr91mE/22bJNA1754GacTgf1GtT2yT5FQoGfv/3tC6y31m4EMMZMAs4FiotZa+3MEtvPBUb5MyAREZFQp55ZER9788yLqtz2ucHnHfG6Xv3aWCAmNpJatfxzS5iBp3Zk4Kkdfba/c/76Gk1SavPCLVV/H0RCjQVffPubYoxZWOL1BGvthKLnjYFtJdZtB/qVs69rgS+8DUhERKS68lFurlZUzEq10jqtAe9PvRVnhIPY2Cif7vtgTh53vfI5teNi+NvVw4l0ej8keMidL7IvN4et+w/w7Mez+dP5J/kgUpEaI8Na27uMdaVlY1vqhsaMAnoDg3wVmIiIiIQ+FbNS7dRK+KNH9vReD4Abhl/Qndv+eoFX+53/y1YWrdsB1rJh517aN63vbahHTIzldOpOWFKDWM8tAPxoO1BySvEmwM6jNzLGDAXuAwZZa/P8GpGIiEgo839uDjn6dC0BkVtYgPXBb9e2gwdoM/EftJn4D76ctRRcgIUZn6/wet99OzSjd9smnNozjTapKcfdPr+gkD/9bRJ3PDkZt9td6jbfPDWODqn1OaN7GjedM6B4+dxtW3lj6ZIy24lUB26MV4/jWACkGWNaGmOigJHA1JIbGGN6AC8D51hr9/jlJEVERKoRP+fmkKOeWfG76Zt/ZfwPU+nboAmTTr/cq329sOJnXNZTAM6O2Y2JNLhdlpFjBhyn5fElxEbz/J8q3rs7cfoCVs7eDMD0E1Zz1smdS93uvXuPnJMm/dAhrvjgIwC2Z2Zy/6DBVYpXJJgs/p1kwlpbaIwZD3yF59Y8r1lrVxljHgEWWmunAk8BtYAPjWcUxFZr7Tl+C0pERCTLQq1/AAAgAElEQVSE+Ts3hyIVs+J3S4purzN39zZu+246/xlyZpX3dWePk/h0yyoAbu82kLoLhvsqzErr370Vb0X9gHEYenZoUuF2TscfAyKifXBdrkhNZa2dDkw/atkDJZ4PDXhQIiIiEjJUzIrf/anrAObv3M6y3b8xY/P6crc9eDiX+NhoHI7Sv1WqG1uL1Zfd6XVMh/Pz2ZN9iA83LGNE8w50SmnId2s3EBMZSf+WzSq0j3bNGzDz87sqfew6cXF8duUoNh3Yz4i27SrdXiQ0hN+97EREREJb+OVmFbPid7Wjoplw6gU8u/hnhrVIK3O7T2eu4B+vfUPPjk147p6LAbj15ymsy8rgjUGXUy+mltexLNm5i6SYaC6Z/D77crIxdXN5fePPvNn3Km79eDoWy8fXXkGblLpeH6s8HevXp2N97yeYCqaC/EJmfrKItC5NadkhNdjhSBCE2yQTIiIioS7ccrOK2Wrs8w2/8tfZ33Jt116M73lCsMMpV4P4Wvz9pNPK3WbN5j0Yh2HD1gzP6wO/8dnW1YDhsaVf858Tzq/Ssadsncu/Vs2gjbsFc37JwDrcREY7MQZwGdy5Tj7f9AsAkQ4niTHe37/2y1++JDG2Nie26O/1vkLVlFdmMvG/M3AYw5TVT+BwaD65cBNu1+WIiIiEunDLzSpmq7FJv6xgf14O7/2yLKSK2ReWzCPf5eLW3scv5Jbs2kmd2FiaJyVz06UDadYomV4dPXfjaJlQl1qR0RwuyOespp1Y+OtW/vTUFGrFRTPtP2OJiqjYj+9/f/mWA/lu5qXvwEZG4k5yERsdyQPdTmPdwXRenruId/Yv486hAxnVqTu1vSxmP1o2mXsXr8EAU4Yn0qlRJ6/2F6oaNU/B7XLToFkKxoTXH07xfPMbbglTREQklIVjblYxW43dd+Jgnln0E1d27B7sUIpN37CGJ+fPBqBeXBxXlBPbu8uX8devvwXgh7HX0rh2IiOH9yxeH+WMYNkFfyl+fd9L03C53Bw4mMPGHXtp37xBhWK6Jm0A/109ixG9WrJ9ZyQ/7NvI4cICBrdsRduDKbw8bzFYS4d69agdE8PjL3/FFz+s5q83ncFpA9pX+Ny3HTjA+RPfpXVSOhAJgKMaTnF+PG63ZfGabXQ+uR1v/fQAtRLjVcyKiIiISMAFtJg1xgwHnsFzm4VXrbVPHLX+duA6oBBIB66x1m4pWucCfr+ZqG6/AHSoW4+Xhp0b7DCO0DihdvHzZrWTyt1218GDxc8P5uUfd9/jLz6JVRt306R+UoULWYCrWg3mqlaDAXB1czN5w0qaJCRSJyaOOjFxfD/6Ggrcblolea6TnfbTKlyFbt74di6PZb9CVEQhpySfyt3dy/+Rm7BgIa55B1gbn0Cbpvs5oWlzOjTqWOE4q4u3pi/g1U9/JqlWLJ//5/pghyNBFG6TTNRUys0iIjWHv3NzBXJGNPAW0AvYC1xqrd1sjGkB/AKsKdp0rrV2nLfxBKyYNcY4geeB04DtwAJjzFRr7eoSmy0Beltrs40xNwJPApcWrcux1oZOF6SUqlv9Rsy+7DoK3ZaWSclHrBsyZQLbDmfx+pALGdi4Jbed2B+ncdAsKZH29eoBsGNHBmMuegEsPPLPSzlx4B+z/TaqW5tPnrzWq/icDgeXpHU9YlnT2kfGWTjQQf6mQtw9CoiP9hTZX+yez92U/xnt6p49+eLtJbiAXduS+WbtQR640qtwQ5KzaKZph3pjw164TTJREyk3i4jULP7MzRXMGdcC+621bYwxI4F/8EfO2ODrnBHIGVv6AuuttRuttfnAJOCIbkVr7UxrbXbRy7lAxW/eKSGjae2kYwrZHYcy2XBwP/luF+M++ZD1K7bhcDi4qV8/3li3iF4Tn2NT5j5e+u83mEKLcVlefv7boMT/7qVXcuc1Q3l1+Ggys+M5lBfFbe0vOG67VnXr8Nyt5+HItzjyLJ89c00Aoq2ajIOHWbsro0ptR53Rm6fGnUXt2VsZ2eUe0nfu93F04o2cggL2HD4ckGNZa7x6SEhQbhYRqUH8nJuPmzOKXr9Z9Pwj4FTjx+vRAjnMuDGwrcTr7UC/cra/FviixOsYY8xCPMOcnrDWfnJ0A2PM9cD1AKmpqWRkVO3Dek2RmZkZ7BCKRbrddI6qTa6rgOTlB5m8fgbX3ncuGTnZ5GRmkWIMizat57obB7J1y05wg3v3bm648Akeffm6Kh+3ou/BxNXLWLR7B7f07k/z2kkMS2pGTmYWH/f+4562Ffl5atMsma/+MRqAgoKCkPgZPPo9yCt0cdubn1HgcjHmxB7M/WYtjRolcfnI8icRO5Sfx0vLFtCkVm0GRjUgLtEJSRGsXbURE9Xcn6fgtVD6XfCnAreL8V9N41B+PnefeBJd6ld8OH5lWVSQ1hDKzUepDn8vQj3GUI8PQj/GUI8PFGMo8lFuTin6u/67CdbaCUXPK5Izirex1hYaYzKB3+952dIYswTIAu631s72NthAFrOlvbOldoQbY0YBvYFBJRY3s9buNMa0Ar4zxqyw1m44YmeeN3oCQPfu3W1KSopvIq/GQuk9mHbZjUx++Vs+XfI9Q544gZSUFFKAUb37szXrAGd17kFMRCRvTrqdEZ3vonC3p8fP23M4XntrLc/8uhS3taTt3sZfW7Xx6nihqOR7cDg3n01ZuVhrWbkqg4WLduJ27+DKK04hOTm+zH18uXopH23fiLWWCy8fy9mjhpBzOI8ThvTA6Qz92/KE0u+CvxzMz2PF4SwcGNJxh8U5i9eUm0uhGL0X6vFB6McY6vGBYqyhMqy1vctYV5GcUdY2u/DkjL3GmF7AJ8aYTtbaLC9iDWgxux1oWuJ1E2Dn0RsZY4YC9wGDrLV5vy+31u4s+nejMWYW0APYcHR7CT19p/yLjNw8rmrbg4duOIMLbzj1iPWjO3pmMD7nzbdZeWAP13TqycU3ncZ7T3xK7ab+/wNkjOHeEwbx7ZYNXNmp5l/6FR8TxeTbRrE78yCtk5LI3H6Q1q3rk5QUV267U5q24u2kpbRKrEOD+ATOHnNygCKWikqIiubD80eyOXM/Z7Vpd/wGXtIlszWCcrOISA3i59xckZzx+zbbjTERQCKwz1prgTwAa+0iY8wGoC2wEC9UqpgtOugrwOvW2t8qeawFQJoxpiWwAxgJXH7U/nsALwPDrbV7SixPBrKttXnGmBRgAJ4JKKQaSM/xfO6ZtHEpD/U+o8ztVh/w/JdPXbeauTfexOmj+9IwLqF4/aQNC/nr/K9pm5zMtOFeT352hOu69ua6rmV9CVXzNEtJolmKZ7bpJ5+49DhbezROqM1XF4/xY1TiC90aNKRbg4b+P1AY3ssuVCk3i4gIEIjcfNycAUwFRgM/AxcB31lrrTGmHp6i1lU0micN2OhtQJUdG/gWcAOw1RgzxRhzekUbWmsLgfHAV3imZf7AWrvKGPOIMeb3aWKfAmoBHxpjlhpjphYt7wAsNMYsA2biuS5nNVItNIyPxRjL1Wl9yt3uzA4NiXEUkNR0Kzf/8AkDP3iB+6d8Vrz+3fWLKHRbVu/d5++QRaQirJcP8RXlZhER8fBjbq5gzvgfUNcYsx64Hbi7aPnJwPKinPERMM5a6/WH+kr1zFprHzbGPAIMw3PPuanGmF3Aq8Brvw83Kqf9dGD6UcseKPF8aBntfgK6VCZWCTyX243DGI6esOzn826rUPtRvbqxJXY+zeIbsmHHflo+m8mig3O4Z3o6j//vWh7qfQa3/DiFUxu3Ye/hbDbt20+vJqnHHO947pr3CbN3b+HFgRfSrW7pk3IWFLr4ctEa2jetT1qqrrUoye12s27db7Ru3YCIiNC/VlakplNuFhGRQKlAzsgFLi6l3WRgsq/jqfQ1s0Xjnb8CvirqLr4euB940BgzHfinL2amkupl3vZtXPnJR3SuV5/Jl1xe6QIToG/dzrx34hNEO6P5rd0hrrvrcSywc4tn5suedZsx+5xbsdYy4JkJHMzL4y+nnMRVfXtU+Bhut5sP1ns6Dh5e9CVThpU+U/I7Mxfz4vSfcRhDnbpxbM/I4uy+HXj0suGVPq+a5qZxb7B+zW4aNk7inXdvCnY4UkK+ywVAlNMZkONpmHHoUG4WEREIv9xc5W4VY0x74C7gVuAQ8CyQC3xT9A2xhJHFu3aChRV7fiv+QF0ZXy9fx5n/eJ2ZK7bgNA5S42vz+BtjOfncnjz51vU+i9PhcNA2OZkIh2FU27KvkW2ckojbWuon1WJbumeStS8Xr/H6+DfNeYEen93HydP/z+t9Bcue3zzT3O/fG5h7mUrprLU8P2cu934+g8P5+WQcOsyAp1/mhH+/xM5MryYGrEQM3j3E95SbRUTCW7jl5spOABWDp9t4LJ6JHn7EkzA/+n12w6Lx0m8DD5S1H6l5rurWg3y3i+4NGhEdUflJsl+ZOZ+tGQeY8O18RvRoD0C3vq3o1rfVMdsaY5h63Sg27dtP76aNK32sr868sfi5tW7I/RKcqZioP2YyHtajLd1bpZIYF8Nf3p7G7NWbGH/mgEof62gLDmwl3x3NXncgJxKvvEKXm/mLN9GmZX3qpyQcse4//72St9+aw8WXlHcrSvG3bQcyeW72PBzG0LtZY9JS6pJbWAgYdmRmkZpY26/Ht4Tft7+hSrlZREQgPHNzZT9R7wLcwDt4LtotbaKHHwDN0BNm4qOiuKVf/yq3v+2MgTw342euH9KHxek76Fmv/CI1pVY8KbXKvidqheVOx2beC7ih/g8YR53iVfUTawHw32vOLXcXL73zA/OWbOLB286iRZO65W7bODqW9dku4iPyyt0u2N75cC7vfDSXhPgYPn7zj6HE197xOsvS9+LILWT0NScFMUJpVDuB3k1T2ZV1kH7Nm9I4sTaPjRhGgdtVpS95Ks0CYZYwQ5hys4iIhGVurmwxexswqejC3lJZaw8ALb2KSmqEPTkH+XTzSi5r3YNaUTHlbnti2+ac2LY5HSb+ixxXAU3iazPnwmOvx5y1YyM/7drCTV1OICk61vsgnQ0AN5h4oPwYS+N2W975eD4G+GLmSm68clC5208cfA9vPvstc2asYnnqZrr2aFGVqP0uLjYK64aYmMgjli9JzyCqwEFhfCRvTfmZ+/50VpAilEink7dHHTm/wtmd2wcpGgky5WYREQlLlS1mT8YzC9URCdMYEw88a629xleBSeizRQPry5rs6bTPXiEzN5+Ja5cw69yKTRSU4yoEYE/OsddjWmu57rvJuLE4jOHuXoOrFngJJqoP1JsJJg7jiKt0e4fDcP3lA/l58SbOHtq13G3X7svgnCnv0PzdAwA8dOu7TPn+3irF7Su2YCV2/1iI7IFJer74//Lic3rRvXNTGjdKOmL7SLcDhxsiclEhK9Xy2poaSrlZRESA8MvNlZ0AajRQWndYLHCV9+FIdbEpax9dP/w3gz59kcMF+cXLd+dksSfn4BHb7s3PYl3WjuPu8+lVs+jWMIW0pLq8e9pIT9ucbB6e+y2ztm/EGMPARi2IMA4GNGrus3MxznoYR9WHLF914Qm8+OhlNGmUXO522w56Jk5yOzx/ZTp0bVrlY/pM3mxw74e8b4E//h+NMbRt3YD4uOgjNh9yUltckdC4VfnnKmFC95kNFcrNIiLiEWa5ubI9s4ajTtN4unIGAum+CkpC3y8H9lDgdrM75xB7cg7RMrIOG7IyOP+7VzAYpp02jq/PHst5Mx8jMe4Qf10xgUkDHi5zfxm5h3h56WxqLyjgsmED6N3AU+i9sHwub6xezDu/LGXd1XfwxtCL+WnnFpam72JAw+Y4HNXnPqeDm7Tgkb6nUG9YAgMaNiMqKgQmgYq7FFxbILI3xkQfd/PHbzgbbghAXFIp32zcwM1fTKV5YjIzRo0J0FFN2E0yEcKUm0VEhHDMzRX6NG2McfNHvb67jGGlz/gwLglxw5q05ZYuA6kfE0/L2p5Jkw4X5num9caS48qnSXx92iTHs6/gEO0Syr9Uq250PD3mxrN/xm5++H4Ot555OgCDGrfk7V+WMqhxCwCy8nK5/LMPAcuWrP3846Qz/HmaPpN9OI+LT/0HhYVuDjWOoUefVjx3/yXBDgvjqINJfKL4dXZ+Afuzc2icVPGZcHNz83nx1Vn06t6ckwe280eYchyvLllIvsvNun17OZSfT62oqMAcuBp+g1uTKDeLiMgxwiw3V7Rr6Eo83/y+BYwHMkusywc2WWsX+jg2CWERDgc3djrxiGVd66Ty2sDLcTocpNWuD8BbJ97PwYJsEiLLvx7VGMPYYafw1IxJtOmYWrz85CYtWTvmdvbn5nD1lMks/m0XxgU2EhKijt+TGCr2pmdRWOgGIOJQIXM3bg9yRMdyud2c9d83yTh0mH9efCbDOqVVqN3f/vEZP87dwKfTlvLVp7cTHQo9zmHmrv4ncd3nH9OtQcPAFbISCpSbRUQkrFXoU6e1diKAMWYb8JO1tsCvUUm11afesdeyHq+Q/d0pZ/fghCEdiY6NPGbdP+f+yMxtmyECYkwEz5x+Jqe3aOttuKWavG4lX29dz/19T6FJQqJX+yoocPHhpHk0aFiby8YMZMbXK1iX6KZ/6xC4XvYobmvZn52Dwxh+yzpU4XZNGtcBNuB0GJzVaNh3TdKjUSqLxt4c2IPa8LuXXahRbhYRkSOEYW6uVBeKtfZ7fwUiAhAbX3pv64mNm/LukmXghvPadvBbIQtw15wvKXS7aRBXi4dPHFqlfazaupv1O/cSm+ninbfm4Ha7efPdGxkzvvz9LV62hW++/4XrR59MUmLlZ1f2RqTTyfs3XMb6PXsZ1rFivbIAN153CoMGtqNJajIRESpmw0qYDWUKVcrNIiJSLMxy83GLWWNMPtDYWptujCmgnLfIWqvxbeJT389fx9KDOziUkseSm27yzb1lj2Nku67M2LKes1t1KHX9rl0HiIuNIjGp9GIzv6CQq//zAQBXndQDp9OQUr828w5vI21/Lh2SG5R57Nsf+BC32/LL2l28/tzV3p9MJbVtkELbBimVbtexferxN5IaKLy+/Q0lys0iIlK68MrNFemZHQtklXgeZvW+BFpmbi4Wy09zN/DYs19igQND84lzRHNbl8F+P/7f+w/j7/2HlbpuxfJt3HXHu0RGRvDO+zeRkHBsce10OqiXGM9vBw7RtW1jbv7iTj7YuJR7Fk/DWlh4/m3ERZT+2TImKoLs3AIaNUhk+ZodRDgddGzTyKfnJyI1gnKziIiEveMWs9baN0s8f8Ov0UjY25GVxekT38Bay19an1C8vCDf8OrqhdzYYQAxEcdeUxso6XuysHiuhS3Id5W6jdPh4OP7RnMoN586CZ7e2/qxCbitpXZUDBHGWeb+p7x5E+s27eFgTh433fseAM/9fSTdOzTx+bn4Qn5+YWjcYkiCQ+VT0Cg3i4hIqcIsN1fqU6gxpg/gsNbOO2p5P8ClWRPFWwdyc3C5LcZAmxb1OH9QJ0ybGCZkLcRpHJRx6wmfOZSfT/+Pn8fldjPrvBuoF1ureN1jT0zl2y9W4oiPIPK0umzYs5f1W9Lp2/PY2w5FRUZQJ/KPX69TUtvw7YibqOWM5J8fzCIlMZ7rzzzhmHZxcVF069SEL75f9UdM2XlHbJN5MIfnJs2ma9tUzh7U2RenXSU33vwma9buonv3Zvz7qcuDFocEUZglzFCl3CwiIsXCLDdXtkvlWeA/wLyjljcF7gBOPKaF1HhnT32DVVm7ub3LIMZ3q9qPwNJV29iwNYOzh3Zhwlnn4raWJ0dPIie/kHZt6jPpP1fQMC6BaGcEM35dxfqVuznvxJ6kNk726bk8t+pHsvI8xeOji77j6YHnFK9btXIHAK6cQrbnZnLHXZ7rYkee15ubrjnluPtOjavNi5//xKR5ywHo1qoR/dofO/szwBmDOpGbX0hkhIOBvVofse7TmSuYNnsVn/+wktNOaEdMtH97qrOz84iNjTrmi4RNm9MBWLt2t1+PLxXz7Nc/MWPFOp64dDidGpd9XbbPWCDMZkwMYcrNIiISlrm5slOPdgJK+4Z3MdDR+3CkOlqZtQs3lvfXLa1UuxX7drLt0H7y8gq49eEPee7NWXw6YzknNW/BoBYtcbk992XNzS2ke0oqDeMSeOL7r7jz7U/56IV5XD3mZQoLSx/qW1VXpvXE6TA4jOGGjv2OWPf445fQs19Lul7Snj6pjQHP34yJUxeSnpFVyt6O1b6p5/67BmicklTutuef1o2zTulyzPJ+XVuQWCuWAd1b+f2erlOnLWHERc9w/yMfH7Pu4QfPp1Onxvz9kYv8GoNUzP++X8DG9H1MWbAyYMe01ruH+Ixys4iIAOGXmyv7SdgN1C5leTKVL4ylhrixXX8+2LiMIc1ac7ggn/jIKBakb2HKlmWMaz+Q5rXqHNPmo01LuWv+NAC+O2McjRoksnP3ARYt38LgE9tSr04tXnrrBmZ+uZwLR/Uvbrdq727cRR2RbidVHnZ8uCCPb7av5fSm7Y+4BrdxrUQ2jLqr1DbNmtblqScvK349Zt5rrNu1F+uEg5k51Esp7VfjSKd0a8M3D40lKtJJUnzVZmZu16I+X7wwrkptK2v1r7swxvDrumN7X/v1bU2/vq1LaSXB8JczT+brleu4on+PYIcigafcLCIiYamySe4nPEOWjnYH8LP34Uh19H99BpFvCnlv/RKeWTEHgNvmf8zkLct4fPnXpbbZfvhA8fOswjzefvpqIqzhp5/XM+7/3gGgacsUrrpxCNN3rOehH7/jUH4+b18wmjqt4ik8N4bJH9yC01m1z2lDp0zglhlfcsan/6tSe4AJT49mULeWjDu/P61aV3xYZ/2kWlUuZAPtxrGnMHbMyTz5t9Dofc3NL+SjWctYs3VPsEMJOVf078Eb119Cq/rHfnnkN9bLh/iKcrOIiHiEWW6ubM/s/cD3xpglwLd4TnkokAYM9m1oUp20SUxh2d6ddEz2DKM9u2ln3t24kBFNOpW6/Z87nsz6QzuJiYikY3JDnMZBXFw0mfnZJCb+Uehl5uVy1w9f4TCG5rWTuLpLT3646hYWp+/gp/1bOT2hbZV6Z3MLPMOTcwoKqnC2HlFRTh57KDSKPH9JrB3LZRf3O/6GAfL6F/N588uFOB2GOc+N9/uEYHIcYXZdTghTbhYREY8wy82VKmattYuKZke8GzijaPEi4EprbeAu1JKQsWLPbs57byIY+PSyMXSu1xCAu7oO5a6uQ8tst/lwBvP2r8WBYfaezgxu0IEPJ4xl0Ypt9Ovxx+zACVHR9GnYmDX7MuiX6rk9TXrOYUZ+9R4OY/jPwLM4o3m7Ssf92XljeG/tYka371PmNm5ruWzGe6zZn867wy6jY536lT6O+FarRnVwu920bJSiQjYEmGr4DW5NpNwsIiK/C7fcXOnZY6y1q4Ar/RCLVEOvL1voGZFgYfq6NcXFbGlyCwuJcjhwOBzUj6lNclQ8hwvzaF3LM0Q3JiaKAX3+uAbz250v8eWe77m21wCGNR5fvDw2IoK4iEiyCwuoH1frmONURJNaSfyl55BytzlYkMfizdto8J2bp5dN5+XHRtfoAurA3kMAJNX1vKebt2awbed+BvRtg8MRGud9et/29O3QnIS46GCHItV0OFJNpdwsIiLhmJv9OxWq1Hh/HXgqszZuxulw8KfeZd/94ckF3/PC4vkkxsaw7Ko/USsyhikD/kxWfi6p8Ymltvk2/QcOuiKYmfHjEcVsrchoZl8wjhxXAfVjq1bMVkRiVAyjIjoyJ30lGzN2ceHVL9KuTUMeu+98jDHk5ReyMz2TFql1qn2Ru+iHNdx/wxsAPPTClXTrn8bYO94mx1WIO8KQkhDH1P/ddEy7Hdn7OVSYS7vajQIWa3JC9bjeWERERET867iz5xhj8o0x9YqeFxS9LvXh/3Al1CTHxrL4hvEsGHsTsVFRZW43e8cWADJzcgE4nJfPiX9/gdP+/j8mLl5capvzUs8jJcJFxqZUXpr9x+0TF/24jrnTV5ESHeeTc8jLL2TmnDVkFPVMlvTnC4bQrWtT2nZpzP7MbH5asJFDhz33oR3/+Idcee/bvPbxXJ/EEUwrFm384/n8TTgdDuJionDnFYDLTcbBHB5+bwazVmwo3m5v3iHO++x5Rn03gYV7NwUjbAkq47kux5uHVJlys4iIHCv8cnNFembHAr/fRPM6P8YiNcCq9DXc8v0bREQ6+PSMB4kuKnBfPPVc7vxhOqe3aAvAgdwc3PmecRDPLp7JFT17ArAv7zBjf36N9KwcxjcfzqG1lzN79TqWxy5m3En92LPzAA/f9BYOp4O4+CgGnNaZKR8vZMnSLfz5T8Ool5JQZmwZ2dm8tXwxZ7RuR4d69YqXv/D6LD6fsZz6KQm89/LYI9okJ8fzz6dHkXUwh2df/Y52bRqSUCsGgP1ZORhjyMg87Ls3MEiu/PMw1i7fjtvt5uo7h+N0OhnRqgFTflgHbheRF3Tikx9W8ensVSx87hYcDgfvf7+MnAWeLxQO99bn5bAUZkOZQoxys4iIHCvMcvNxi1lr7ZsAxpgIIB2YZ63d6+/ApPr4eMtSlu3bxt1dhvPckvfYQhwUwNOrpnFXj/MBaJKQyKQRf9yjtXFiIs7Oh3DnOMhvkFu8fOn+LWw8lI7bWP767Vd8ctloMnNyuahnZwDia8cQlxBDzuE8GjapQ2Ghi+de+AZjoHXr+oy56qQy47x66mRWZOzh+cXzef/0S3jonRkM792OpMRYrLXULmf4au2EWO67bcQRy16472KWrdnBSb2q/71WnU4nj71+ZCG/cdV2DIDDSa8+Ldj+4y9ERHqueQbIOJADni1Iiy37WmmpwcIsYYYS5WYRESlVmOXmCl8za60tNMZMAdoDSpgCwN7cQzy0YjIA2YUFnJs2hJkLZ2ENDG/au9y2fzrhZN7cOJurW8TlMyMAACAASURBVJ8OQH5hIf3rpdHc2ZB1u/cRXRhNh0b1ef0qz+1vXNbNM5u/oNFTjbmn/fnUT/Zca3vG8K4sXbaVkwaWP6txSlx88fOHJ85gx+5MXps2n0XP38qgE9vSuGFSpc7dxsCgvmlEOZ2Valdd3P+/sTxz+0R6ndKR4aMGctHJ3WlRL7l4/b0XDCE2MpL2jVNIrVv6dc8i4l/KzSIiEs4qOwHUaqAFsNnnkUi1FBcRhcGBxU2rhHoMb3kSq1oMxOV2E+Us/8drbNvBjG07+P/ZO+/wqKqtD797anovJCFAKKH33nsRKSoIqCAIomJB8VOuXr12Eb1eO3bELohIEem9914CgSSQBBLSe6bu748JgZAQEgghmP0+z8DM2W2dk5n5zTp777UAeGXZGubuP8zzvbux6I7HOZeZiZ9L0T2xMdlJLI3fi0CwLy8anwg3Io6d48kp/XB2ufp+3Yt8O+QuFkdG0NwvgA17T/PFom3UDnEEb6pb279I3QxTPha7DT9n12L9bN4Uwbe7drIlMJH6nr6sHDbpmmPfDuTnW9h7IIYWTUNxd3fCzdOVl2Y/UljerFbR2VedTsPzd/esbDMVVYlqdve3CqO0WaFQKBQOqpk2l9eZfRZ4VwgxDdgjpVQb5ao5zjoDG/r/iwv52YR7OvKwaoUGrfZSbLGn/17KuogoXh3Uh5FNm5XYz66zjiWtO8/GMblLe4I9PIg8cZ6Zry+mR+/GjJ/ck9qufvQIaEyyKZu2HmGMff4zhBBo9YIHSllefBGtRsM9DZsA0GCAH5MHdCyxXlJuNr3++BaL3c7iYWNpfEV+2Xdn/MW5Rlbw1xKVmsonby7h8RfuRKcveYZ294VY3tq3lkkN2zMsrOk17bxVvPvhcrZsj6Rhgxp89r8HbrU5iqqO5LYMFPEPRWmzQqFQKKqlNl8zmvEVrAbaAZuBPBUxUQHgZXTBFSP1v3+XRt//F4vFUqR8+cFITPk2Ptq8jZUbj7L/yNlifXw2YihPdu/EW4P7FR5btng/Z2OSmfvzNgB0Gi0zWz/At50exc/VgzrhAVilnVnZm0nMyyzW5/VwPi+dYRs+IcdiRgApebnF6gwY1IJaMUbuEfWp81seq5fsZ/+uU4S/8R4N3v4vfx48VKT+J4e3cCjlPDMPrK8QG28Wzk56yLWQejyBxPi0ImU5OSYmP/odEyZ+Q0ZG8WuiqJ4IeWMPRYWhtFmhUCgUQPXT5vI6s5OBiZc9Jl/xKBUhxCAhxAkhxCkhxAsllD8rhDgmhDgkhFgrhKh9Wdl4IURkwWN8Oe1W3GQmrvgDu5MVs5OZUct/4a6/vqfPL9+yNf4MA5rVQ2sQ1M1y5fVZK3jijfmciS+6tau+vy9P9ehMDY9L0YjvHtWBZi1DeeTJvsXGE0LwyHsDSH5ekhdqJzG/YpzZH75ai/N7ufjtkTxavy1dg2sXqzP1mYEsWvQsr90zmCYBNajfOJhZJ/diM+qw67S88tfKIvUfbdKJBp6+PN28W4XYWBFIKcnOyi9y7NmpA/HMtpAWk8KL//mlSFnMmWTOxqZwPiGdEycTKtNURVVG3uDjGpRBM3oIIfYJIaxCiJEVck63J0qbFQqFQuHg1muzUQgxr6B8pxCizmVlLxYcPyGEGHhD51lAuZYZSym/v96BhBBaYBbQH4gDdgshlkgpj11WbT/QTkqZK4SYArwHjBZC+ACv4rjzLIG9BW2LTh8pbhkPN2/Pv/b/BXZBhOUM5nMuSCmYuvovPu87nPXRMRw+m8jV4wUXp1YdPz78wvHbaNTiX4nISOL7/iNpExQCwMYzZ8nL1uNpdKKFd83rsjsiJhGzxUa0Np23d63BZ1YcBsDdlIvzQB1CXH2phqubEx//5NhTeiY1jX5fzkZqBCPbtgAgJjONLLOJbkFhrBryyFX7uRW8/cZiNq4/xqTJvRjzQBcAdFoNfh0CydoQw27PDDbERtErtC4AjRsFM2pkB8xmK21aF3fwFYqKpoyacRaYADxX+RZWHZQ2KxQKhaIyKKNmTALSpJT1hRBjgHdxaEYTYAzQFAgG1gghwqWUthuxqVzOrBDCBgRJKS9ccdwXuCClLC2sawfglJQyqqDNXGA4jsAVAEgpL1+HuQMYW/B8ILBaSpla0HY1MAj4rTz2K24e9zZpwb1NWrAzKpZHD3+FziOP3CxneofVIdjDA60QEGbk2UFdqBfsR+0Q3xL7kVKyMz6Wt9av56F2bRjRuDmpebnsSo8FJGM3/IarwcD0Gj2Y/9t+9H56nJu6lNjXtYhNTGPy23MBQUYbG5muZjxdtWhzbAQ0DGB4t5L3915uKzhmiWv7eBP570u/p5Pychj05xwkMGfACLqUMMN7K4k8eR6hEZyIOF/k+L3P9WFSw0UgBDXdLkUo1mgEkyaqYE+KSqUsmhFTUGa/FQZWFZQ2KxQKhaKSuKZmFLx+reD5H8BnwjE7NByYK6U0AdFCiFMF/W2/EYPKGwDqatNUBsBylbKLhACxl72OA0qOwONgErC8lLYh1xhPcQvw9XRGG+GPe2g6/zegLd8fP8Hre1aya8pjSCl5/+vV7NofQ/OGIeh0RVe5L484ydNLlqHTgyXXzsvn1zCicXN8nF1o4hLI6ZxkLNJGltnEou1HMZts+Gc4s3DYuOuy1aBzzLxKCb1C6/JXagSh/2vD1z3vQacrPd1OdHoaQ+f/jI+TM18O7cnxrKP0q9EbT/1lKWoEIEFTyuzureLtmaPYvu0U/QYUddj71qrPlgcnY9BqCXBxu0XWKW4XbvLemvJqRnVGabNCoVAogCqhzYV1CtLHZQC+Bcd3XNH2hjWjTM6sEOLBgqcSGCWEuHyDohboDZy+VjclHCvxcgshxuJYtnRxKqhMbYUQjwCPAAQHB5OcnHwNk/7ZZGRkVOp4F/KzeHn/Iuo01XCnf03mHdxPc5c0jqfkczTuDClnMjkQFQPALws3cWdvhyN1POMcaeYcjkalE+bshNBLJJLaNTwL/4bf9RyMTqNhRewJzuWk06CBH8d9PenaPAxrVg7JWTkl2lTaNdACs1+8C5tN4uflyit0BSA9/dor5I7Gx1JTq0eaLfx89Gfy7flkpGUwLPhOwPGG/bP3PeRaLdTRu9zS92JJ18DJGXr3rYfNlkdycl7RMgAsJOfmF2t3u1LZn4Vqw41HTPQTQuy57PXXUsqvC56XWTOqK0qbbw63w/dFVbexqtsHVd/Gqm4fKBurLLdem69W56boellnZmdf9vzDK8rMQDSO1AClEQeEXva6JnDuykpCiH7AS0DPgmnoi217XdF2w5VtCy701wCtWrWSfn5+1zDpn09FXwOzzYpF2nHVOfK6Sin56OBWIjOSGR3elDPkICWsSL/ASbszmWY7+RoI9glg9bFYzmaZ0JigdfP6+Pn5cSE/k2d3/4kWDdOb3InW1Y3e9cJoH3ppD+yjyxezKuoU7/cdxLBmbei98gNA8u7AEfQMbnxD18DPD/KtFrRCg15b+mzs5Qz09uaMxUyAqyuJuq3sSt1N/aB6Rcbyo+q8/27GZ+FkZALffruBUaM60q5tWIX3X9H8078PPtm2nYjkJN7u3x9v5/LsTr9Oyhgo4hokSynbXaWsTJpRzVHafJNQNt44Vd0+qPo2VnX7QNlY5aga2nyxTpwQQgd4AqllbFtuyuTMSin1AEKIaKC9lPJ6bqvuBhoIIcKAeBwbgO+/vIIQojXwFTDoir0/K4EZQgjvgtcDgBevwwbFDZBpzqf/ylnk2cws6DOJBh4BHE1J5ONDWxFAx4BQZra9B51GS5iTldnHFrA63peUfBMjfv6F9BQTPo1c2TRtMhqNY4mxq86Iu86JbKuJRj41uCes+GqD3efiEUKw81wcg+rVRyc0WOw2UtNyyPDIw9Pt+n+4R6akcNe8n3HRG1j74EQ8jMYytdNrtTzR7uKqimZY7ZPQacq7av/25l//9xtZyTkc3hODLikDS66Zl2Y9SPeBLW+1adWOpJwcPt2xA40QdA49wbjWrW61SRXBNTWjuqO0WaFQKBSVTFm0eQkwHsde2JHAOimlFEIsAX4VQnyAIwBUA2DXjRpUrtQ8Usqw6xRLpJRW4Ekc4ncc+F1KeVQI8YYQYlhBtf8CbsB8IcSBgpOmILjEmzgu4G7gjYsBJxSVR7o5lxyr44Z8bHY6FouFEau/ARtIO9T39KN/cBN612hIHa+mvNnlFRLyLSAFiWRhl5Kk/Fwe+nNhYZ+uOiPL+/wfa/v9iyaeJS+bnzPkHp5u35kXOnfHYrfzaL2+9MpqyvvvbaL/E1+QkZ1XYrursT8pnuOpjt9j0empSCDLbCItLw977p/YU+5nxtaf6TrnS5ZGHi9Tn9XFkf3xu02MGf4xO7aexDXYEXjLjgVLSjbkmfng3/NvsYXVE18XFwbUr08dLy961a3EWfKbGP6/LJohhGgvhIgD7gW+EkIcreAzvC1Q2qxQKBSKQm6xNuNYNeRbEODpWeCFgrZHgd9xBItaATxxo5GMofwBoBBC1AP6AIFc4QxLKd8ora2Uchmw7Ipjr1z2vF8pbb8DviuvvYqKo5abD592upd0cy69gxowaNUHGFwtWE063PRGOgfVAuBYWgIv7P6Le+q0pIbGlQR7Nk6ZGloGBLI7N5FdcXG8v3Ezf0ec5IMhd9A6JBijVl84jsVu5cuT6/ExunJ/nc60DKxBy8AaAExc/ztbEqJxztNhLFh6H5WcQmu3mvy6aS8zFm8i1MeT5S9NLPEclsVE8MQWhzO9eNAE+tWtz6s9euPj7EJtLy/siTP48EQ9vjkbi9TD9BUrGNLg2kuZqwMJiRn89N0msMPPc7bgNjaA6JZp+Lkb8H5VDxYbd47pdFNtmB9xmB+P7ueNbv1oHRh8U8e6ndAIwaxhQyt93JudXL0MmrEbxzKlao/SZoVCoVBAldDmfBw3mUtq+zbwdkXaU97UPGOBOUA+kEhR/10CpQqm4vand1CDwufJ1ixsNoGzh4XlAx8vjNo7dfsCzuSm8vahBHROgk57ahCZlMlxTQIjhjZlWMvGPPjbAkAyfdlKVk9+qMgYGxIj+Cl6G3Yp6eRXn3ruAYVloW5eSAld6oeRdjaLE9pEHj70K+uCn2LG4k1IDZxNv/pm/9T8S7O4GaZ8NEIwulmLSxVcH0WKvYUv29UOIc9q5svIdTRwr8GQmje2fDM2OolTx8/TrX8T9PqbN5u7Y18UT3+2GC+DgR9fH1UhfdpsdoSzDnu+jU3+idQ9oWNcm7YMrduEtmMrJ4Dp9K0rsEvJY6sXsXPs45UypqIUVDimKoHSZoVCoVAUUs20uby/pl8H3gderohpYcXtzf/a3sev0TuZ1rg/wa6XUtL0DW7I7BM7kFJi09s57ZQK6NDYYWitBnSpVYu6vt5EpaRxT/Mmxfpt6lkTD70TnnoXgp29ipS91q4/Exu1p6arJ5vCT/P0zj+w2iDPZsHdoCPTai31jtTYRq0x2ay46Y10Dym+HFPjNpnnuk+mVuAh6nh406FGKHNjdvJL9A4kdto4hbJ73m5a9W7KKWEmIy+fu1o1QaO5duQ4KSVTx36NzWrjfFwq9z/S65ptrpcl6w9j1UiSrSZS0rIIDPS/4T5Dgr1p360BfzhHYgoUHElP4JeWY3B1MlSAxWWjrps3p7JS6R5Sp9LGVChuA5Q2KxQKhaJaUl5ntgbwjRJLBUCvGg3pVaMhANkWE9kWMzVc3OnmX585Bw5ittvQeph44J526CL0eLo60bVlXQBWPTzhqv0Gu3ixpt+/SiwTQlDb3btg/Pq4ZHqSkpPPiaRktr/zFEmZmfh7eJRq96Sm7a95bqPCWzB1ywKe27GYNzsNwCh1hHn58/srC1g5ex2GMF9ixjREIwTers70bli3WB+RpxLZvSuKUaM6FubU9fVz43x8Gv41PIvVr0ieGteLkzOSqB/iS4Bf6dejrGzeGcnmvVG41BTYDeAeISrVkQVYO/ph7HZ7YQAxxS2mmt39rcIobVYoFAqFg2qmzeV1ZtcCrYGom2CL4jZiYexO5kSt5ZH6A+lXoyU9F35NltnEd31GEp2eisnq+E01IaQbYc41GH5vxe87PZ+TSWJ6LgBv9/+cd7R6uvZsyH++mHDDfZ/JSmFpXAQAL7/3N+KME4QZqds8CLtdUifUnySjgTyLhVreJTumTzz0LXab5MD+GN77730IIZg173HSUrKpEeJdYpuKIijAkz8+ehigwnI6HjwcB4B7nIbmOj+efKwXAKvWHeV0dBKPPtSjUpxM5cgWx2qzM+/vvXh7ujC4Z9NKGVPIm78vR1FmlDYrFAqFolpqc3md2Z+Ad4UQNYGDOPLYFSKl3FZRhimqNh+fWIIVCx9ELORUgomU1Hx0ToLEvGwiLjpPEr4+tAcQBLq60SkotNQ+L+fzyIXsSYvgP03GE+ZWcqCfYDdP3J0NZOeb0Tg50vNsXV+26MOlsXDOBr588WfE+2FoswSaZIkViI1LY9j7E+gxshPuPm7M3X+IzTEx1AvwLbkjIQCJ0XjpY2Z00leIIxsRewE/Txf8PNxuuK+y8siD3UlKySQwwJPHH+oFwPmEdGb8928ATGYrz0y5apwYxU1k855TfDt/G3a7pFmDIGoF+1TOwDeemF1RMShtVigUCoWDaqbN5XVm5xX8f2VydnBMamtvzBzF7UJnv8ZsTjpM94DmfLZtB9g0aC1a7q7blH4h9UjhVwx6E8sPt8CKHjed/tqdFmCXdhbGb0IAT/75Hfbj3ix/5wkAErOy8XV1QVcwO3do8lQABn02HQx6ate+sR/xH/y9me+O7ce1gQehb5zH3rUBOqOWxnV8uG+YY3myl78nB+PPM+P39SCh7ZlP2ft/TxXr64d5j3Pg4FkGDmh2QzZdyc9r9vLhvE0IAes+moKHi9MN95mXb2bHrihaNg/Fx9sVKSV2m0Sr02C12rhn2AfkmKy8NH0IfQY2L2zn7GJACJASgm7y0mnF1WlQ2x+tVoO3hxN+PpV3g6O6LWWqwihtVigUCoWDaqbN5XVmKzGBoaIq806rsYXPky8sYXlkJPc3bY5GCOLz9hBh8UVjlUzsdJYhwa/SzL9GmfvWCA2P1h3OjwfXExNlwGY3MfjFWTwwoiuvr1yP3WDHLVRwYMyzhW1WnHivQs5r16lYkGCu5UWA1kYmAo1GMOu1MWgvW956Liuj8MvCZLKW2FdQkBdBQV4llq0+Esnh2ASmDuiKTnup3z27o3jvnaUMHtKKCRN7lNj2TGIa4HAgs3NN1+XM2u2SI1HnqRfih6uzgQ8/W836TRGE1vThy4/GMfmhb0hKyuKTWePx9HAi22wFq5VfPlxOg3r+hNZ3/D29PFz4/cfHSE7NoXF4ULntUFQMNWt4s+q7JxHCsa9cUe1Q2qxQKBSKakm5Np9JKc+U9rhZRiqqLocvJLAy4hRGqeWJVo4co/7OYbhpTUgEdpsPkzb8zraEmHL1O7JWL1qktMWW57jf4upiIColDYlEWAXpFlOZ+zqXkM7/Pl/FoWNxhceWnTpJ828+ZfraFUXqvvfAYB4f0InfP5xC189aM2R8A36dOR6tRkN6fh4ztm5k09kY7mjUiEbNA9AH6NjyzJRynVt8UjpP/bGUr3fu4T9/rCpStmzpAVJTslmycO9VWsP0Ub2p5emOPwbMeSU70tfiiwVbmDJzPo/N/B0Aby8XpJR4eTiTnZVPwvkMkJLTpxLxD/SkT5cG6OPTOXc4lhmPzinSl7+fh3JkqwAajah0R/bi3pzrfSgqBqXNCoVCobhIddPmcie6FEL0Bp4C6gODpZRxQohJwGkp5YYKtk9Rxfn71EnsdonJbmPXuXgG1w/nZKaJYGN7Hq7fgtErVgK5PLj6d06Nmw7AieQkBi74HoNWcPLh567a91sThqH9cSkZuXl89Ni95JotbEuJJiLvAm38St5HWxKfzV7Plp2n2Lb7NAvmOBzPmXOWokvI4ve8I7zXd1Bh3Vp+Xjw+oDNL4vbwV/xe7EgedOoMwDOrlrHhbAzfHtxL1OPPsuDBsSWOdy2OHYhDl23D6qZBby76rTH+oe6YzVYG3tHiKq0h32QhNTIdjYCde6OoE1p0z+7SZfuZ+c0aDAhWzHumxD5MFhtCgNnicIYfndiLgX2bUTPEG4NBx8uv3cW5+HT69HMEE2rdpxHr1x7CEGOmQZva13XeFcG+mHjWHj3F+O5tCajE/cKKq3Abit4/FaXNCoVCoQCqnTaXy5kVQtwN/Ab8AoQDF/NyOAPTgQ0VaZyi6vNku05sjzuLl5MTg+rWB+DRrXMx220cT08GKZA20Go1mG02DFotd/z5PRIw2SRTVi3giwEjrtr/6w8OKXzuYtCz/P6J5baxR+dwdu2PpmeXcADSU7JxmxuHM5IGgX4ltmnjE4a3wZUgZ298je4ApGTlAWAU17/9zGa18/WstQSlmwkJ9+flf/cvUl67jj9vvTOq1D7c3Zx4fGJPIiITGNineOTahX/vBwFmJJGRCQQGFl+GPHVUdzo3q03jMMdyYY1GUDfsUi7a7j0aFanfr0tDYh7vRw1fd0YMal3m861opv78F+k5eaRk5zJz9B23zA4FcJvewf0norRZoVAoFEC11Oby5rh4GXhSSjkJsFx2fBvQqsKsUtw2uBkMLB41lh+GjSTZlM24LbNw0mmQUuJh0DO1VVv0QovNDkdSEgEIdnMtbD+4bsMi/a07e5qhf7zLXQvf4mRKzDXHl1KybcVBju+JvmqdQX2asuaPZ5k6uS8ALm5OBAR7Y9TqqN88kDrfzaTFr+8XaVPTxZfxHoPZ9VsuPV//CrvdzkeDBjOybhN+GjayrJenGHYpycs3YzDoGHFnWwyGci+OAGD08Pa8+txQvDxcipX9+9k7cdPqqB/gTdOmNQuP3z/rN1o+9QE93/gSnU5L5xZheLk7F5b/fGQ/Y/+aR761+NJlo0HPEw/0YMSg1uRk5CLlrfmm7B5eByEE3RrWuSXjKxRVFKXNCoVCoaiWlPeXdCNgTQnH04BKygWhqErY7HZsUmLQann36F9E5Z1BowWj3oX4/CR+jd9Mm6B6+Oo9aeYbCMCW+x9nW1wUNV09qOVddGb0f/u2cCxTYpd6Hlz5Izvuf6VIeWRSMnf89AM2o525d43GfiSd9578AbtdMmfba/iWIaKuwahj9oaXsFlsdF8yCykFGXk2bDYbWu2lWdfF+4+BXZKdmk+WyUw9Xx/eH+yYDfzz7B7O52UQRA06BIVS08OjTNdLr9fyv48e4NUX5zP3+y107RaOj2/FLpetVy+QFfOnFTt+/IzjZkJaWl6xsnyrlZf3OPbvtpnzCTvHP467ofiM7oJPV/Dty7/T7a52vPTD4xVqd1l4Z9QgZtw7UAU5qipUs7u/VRilzQqFQqFwUM20ubwzs2lASZFeWgLxN26O4nbhdFoSdb55l3o//Zfmv31IRFoS59MsSAlWqw574cyd4NOew/mi73AMlzmKXWrWLebIAkxr3RUXnWNiwc8AHX/7nF+OHygsf3v9BizuNuxGydPr/sbb3wO7XWJ0MuDkYijW39XQajWMW/E7F7LyMOglfWrVKuLIAjRp7ofZz05uXQtG/aWyszkpzDiylNmnNvHSjqWM/PO3Mo8LIO2SzNRc0tNyOHUyoVxtb4TXxwzAzceJhwd3KFamA8eXn4Bci5VxS/4A4MieaKbc9TF/z9sJwIm9UQiNIHJ/TKXZfSXKka1CyBt8KCoKpc0KhUKhcFDNtLm8M7MLgLeFEMMLXkshRBNgJpfy3CmqAdM3rSzMyWy22ziZnoQ5T8+52AA0blb0znYMdi3rhzxd4gzf1ehXuz7773+Bg4knmLHvAAkZ5/j26G4eaOxYKfefvr3Z+Fs0dqNkWtsuNGpSh+93vI7RSY+rh/M1ei/KrvRYcAKrGeb0vw+A7Px8zuVlEe7tz4PN2nEo5xzt/WrhdFmeXH8nd0JcvEjIzSTbrMXf0/VqQ5RIw8bBjJvUg/x8C23b1y1X2xthWJsmDGvTpMSyuORMeqTWYpfpHPmeEOTm2Cf83SeriTmZyM+freHO0R15/P2xhLcJo+MgtXJRUf325VRhlDYrFAqFAqh+2lxeZ/bfwFIgETACewAvHMubXq9Y0xRVmTe69GPwoh/BKnm0ZQcG125E75C6vLtrIyatiUXRR6nvXQOLzc4DS36ndUAQz3XqXqa+DTo97UOa8bLOmw/2beGxFh0Ly+r5+hL95PNF6vsElG2J75V4CxfSbDn4ax3LfDNyc2n79acYa+Wi0WhYPfBpxgS3Y2HEcSJDUmjg64ga7Kw1sLjXM0gpic5II9itfOMLIbjvwa7XZfPNYvaKXRw5lYCv0cjMcUPoHlqHs+dSOZiWjs5ZR9/RjtlcLz8PRk5VgZcUiiqG0maFQqFQVEvK5cxKKXOA3kKIXkA7HMuU90gp190E2xRVmKb+NTgzeXqRY+4GJ97qNpBfjhxkYcZpLtgs/HvjarYmnGFrajT5Wgsvt+9T5jHaBobwyx2jSchN54mdP9EvqAl312p7w7ZLKVm66Siv1+nDkB5NC5etHk6+gMHZhkVqwQbL4g/w0YbDZJvNfL5nJx8OHFykHyEEdb18+G3BTg4cjuXFaYPx8iwekOl24K4uzdhzMpbBHRrTPbQOAC7OBjQeRqxuBvoMUzOxCkVVRWmzQqFQKKor1xVKtSBn3YYKtURx2zH3yCESs7N5vH1H9AX7TeOyM3hr9zpsdjvppnx6hYax4lwECJh36iB702MIc/dhgmc7MjLy6Nax/jX3QD69+zeOpCewMeF0hTizhyPP8/73jt94tYK8aRkeAkDX0No4C1dMMhVvFyeC8gK5u56VdXHRjGnavMS+EtJS+frL9QDMFMuY+WrpkY7PpqZjMltYevYkQ+s1pL5vyamBKpu24TVZBrNIxQAAIABJREFUPmNykWN+3m7M/2IyVpsdP2/H7PXKpftxdXeiYaNgli3ax/B72+Plo/K9Vluq2VKmqo7SZoVCoVBUN20ub57Zj4EoKeXHVxyfCtSRUj5bkcYpqi4x6Wm8umEtGiGo5+PDkPBGPLtoGWsjo7B529C4wKf9BtMztC4tggKZsXcDIW5uLIo9xNG0BPb9dQp9vpbXnh9K1w71i/WflZ7LkwNnYjHZaP5xW46QgIeh7AGeSiPY3wOjQYdEEuJ/KfqxEIK9jzwNwB87D/Pyb2vQCNjy2hSM+pI/Kj/GL0YaJcIkaNWiVqnjxqamM+zTnzDZrJi8bHy6cwdRT/1fhZzTzeLy1D9LF+7hg1mrAXCzQV6+lWVL9jPvb/Wxr2rY7XZWrz1Gk0ZBhIb63pxBqmEuu6qK0maFQqFQANVSm8s7M3sPMKKE49uB5wAlmP9Qxm3+FoCfuj8MQKCrG6GenqTk5tIswJFyZ/nxk9jsEpkl0LiaeWT3T+j3aphcvzt706NpW6MzXQLDqOnkyR7rSSx2G95eJQdPOhd9gbSkLIQQDBZNeOKOgXjqyhfg6Wr4ebux7PPHANBpSw7o7WzQI6XExWhEo7n6zHFdz5q4P7+f1m6NGdO2eJTgi5xJT2fBkaPIi7fLZOE/twUvPvMr+/dGg9FxvXQ6x/+Gqzj5Nwub3Y7ZasPZoL925WrErqNneOmLv+nfsSHTx/XlvQ+Ws2LtUQSw+q/nCv9eFc7t8xb+p6O0WaFQKBQOqpk2l/eXqD+QVMLxFCDgxs1RXI190fF8vmo7E3u3p0t47Uod++V9C4nIjgLglX2LeaPNcJz1etaMm1ik3tRenflw6zbsBhsGDws2KTDbJIvOHsBst7Hh/CkWD5gEQNY3vTGZrfj5uHE4OYHJaxYSrvVimKk2w0Z1ILxVbSa+OAxTvoVW3cLRaCr2x/jVnFiAT7Zs55OtOxjSviFv3NGncAl1SYwM7U/fwI546ktfajt54SJi0tLo1DCUpzt35qeT+xnduMV121+Z2O2SfXuiAejTOZy7RrYnrF4Ay5YeYHfUOWbP3cqkMTc/oJXNbmfUmz9x9kI6s566mw6NSp8Jr06s2nmCjOx8/t5yjOnj+mIyWwGHntntdsqfha2MVDPBrMIobVYoFAqFg2qmzeV1ZuOAzkD0Fcc7A+cqxCJFifxv6SYOnk0gISObpdMnVOrYzb1CWJm4u/D51XisUwcSbdkcuBBPZHYUwmhHp7XzWcdRzI0+yAP12xTWdXdzwr3g+cozkSTkZHFeZpIy5zRGJz1DR7bnrsm9SxxnVdxxXtr3Nw/Ua8czTXuRmZqN3WbHy//6ohpfyd74c2g0sDc9lkUxRxnbsHUxZ1pKydc/biY5NYtpj/VHYyjdWWjo50d0Whrta9ekbe0Q2ta++nWsamg0gtffHcXBfTHcP74b7hdTILkb2Hkghh37orl7UCsWL9rL+YQMnpk6ABcXIwD7D57B18eNWhWw1NVstRGblI5GQGR8snJmL2Pi0I7kmyz06xAOwH9eGErDBjVo1SIUg6FyZ88VtwSlzQqFQqGolpT3V86PwAdCiDxgdcGxAcD/gK8q0jBFUcZ1b0vC0o1M6HnjAZDKy+i6HWjiGQRAc9/QUuv+cmYvVmnD2QjdQ6Ox2YNo6hvMm77BV20zrnFrTqelEP13DEJaCG3gz77dkZw5mcjw+7qg0WhIycrlYMw5ujaqw4IzB8mw5DE/Zj8PeLdkcudXkDY7n61/mdAGQdc8H7vdzt6z8bSsGYRBV/wj8Er/Xty14RsS7Nm8fmg5MZmpDKjdkBA3T0LdHHtsz8anMm/RboQQdGgTRv+eJedvvcgnQ+4kLS8fH5eKWSpd2bTvWJdtq47w4asLef7tETi7GOnari5LVh+kXm1/8nJM/Dp3B0II2rSuzaCBLfhj4W6+fH8lQsDPf04l8DpTKF3E2aBn1lP3EBmfxIjut8esdmUR7O/JW1PuLHyt0WgYc2/HUlrcOILqty+nCqO0WaFQKBTVUpvL68y+DdTDkaD94qUSwC/AGxVol+IKBrUKZ1Cr8Fs2/rWcWHAEUHLR68k028izGEk414XFw6YAcGz/Gd5+5lc69m7E1NfuLtIu0MWNL/rdhewriUhNZPSK2fh8rwEhiDubzFMv3sXDs+YTm5LB8PZNeH5QX4xaHaPD2pCTlofdagcBWWm5ZTqXMV/8xomIRHxquLL+pUc5eP48m2PO8Ej7dhh0On49cgCT3VJY/0x2BhPWzkcIgY9LDn56T0aH9CSsgT+WXCutm117htDR9vZ0ZLevPUZ0dCJr/z6IRgj2bjtFt35NCQ704qePHgLAarXRunVtLiRm0KZ1HQDS0nIAkBLy880VYkv7hqG0b3jt96KikqhmglmFUdqsUCgUCgfVTJvLm2fWBowXQrwBXFwzuk9KebrCLVPclnzafSiPbvmdGq7OTGzRgixLLu56FzatOExqchar/txbzJm9iBCCuPz0glcSEPx88CAhh8NxczYipcTDxUh9D38+6VSQAicQ3pw3FYvZSpMO9cpkY1J6NghINGTTau7HZCSb0Zi07Dt3ju9G3MPsgwcQBiNCa+ej3sPQajVsjD+D3W5F+maRrMnilU0rkYE6tj36CH5ul/bLPr9mEX+dOckbnfoxqqnjI5KTb+bJbxcBMGvyXbgYKyYqc2UQeTSemc/NxWyzkRukJ9DdjZYd6harp9Npee+d0UWOTZrQA2dnAzVDfKhdq2qkIFJUINUwYmJVRWmzQqFQKIBqqc3Xm2f2NKBEUkG+xUqu2YyPqyOFyysHF2JwzkMaU/jidBz700/wWrOJjJjQjdQLmXTs3bjU/voGN+SVrndiCc3hiwXbSQk2suLkSb6eMoLoxFQahRSPZdKyW8My2drh80/Iybey8KH7+H7HQTbYojiXl4VwEmAC14IIuU5CS74VvKUrw+o1Ye6hQ8gLAoEOi6cOjdBiN2sQonhYnT/ij4MR/rVjVaEzeyQ2gcNnEgA4dOY8HgF66rsHYNCW/PHLtVh4fct6gl3dmNq+8zXz8FYkR5LiCfXwwdPomEX28nVDq9MipY2kAW707Njy0p7Za6DRaBh7X5ebaa5CobgMpc0KhUKhqG6UN8/s78ABKeWMK46/ALSWUo4uuaXin0Suxcz0LcsJ9/Ln1+37ycwxM/veEXSqHYqPzpM0ayY2u8Bqt6GVRuxSsjj1JGFTmtKnQel7HTVCMLJOK6gDDeuG8efRY/QIDOXhGfMY0681TUIDr9o2LjMDH2cXclPzWLP0AF37NsG5YNL04b/mkXneEeH1nnm/cWTas+xMjOXHiL2MqNOMjBwzwxs14rtjexjVvimPNmpPiKcXAGtORxWO8WL4A9zTtCnzDh0iLjMVo/6KSMc2AVqJ5rK7Ym3CQhjU2uFwr8w+xMKIA7T3q8M3XcaVeB6rok6xMOIYdiRDwxtR18un1GtWUYz56EsuLEnF4iFYNf//eHnKT6Sl5vDtsmcxaWxE5qbTOVgt8VVcRjW7+1tVUdqsUCgUikKqmTaXd2a2JzCjhOPLgadv3BzF7cCrO9aw9GwEnI1A52NG4wdRqam4uOo5HJuFVbqRgQs6ZytRCdF084ni/QObsUtJS78gmviUninCZLOSb7PQpmYwbWoG0/XRjzGbbLz57Uru6Ny4xLQ6yyJPMG3lMgJc3ei5x4l920+x7u+DzPj6PgAa+QawRcSDBE83xzLfjoGhdAwMJSUvGy+DMwl52by9dx1aoaGZTyCjCpzZj+4czIhffiXQ3Y17mjYFYNaqzWRFmfhl5X72vTmt0I6D9z/D7APbmdbpUiRmvU7LW/cPBOD5PX8gBGRZ8q96/h1DahLi7o6/qxs13T3L8iepEBK3p6GxgSFN8uOctRzd5pjgeX36XD6eM5kgX68S252PTUWn0+AfVHK54h9MNRPMKozSZoVCoVA4qGbaXF5n1hPILuF4LuB94+YobgfaBIQwP+owGiEw6LUIAUObNgShwdNoJDnLkdfSqgWd0U64pz9GrQ4nnY4Qt9Ij2uZZLfT+exZpufk0zgnhnhbNCPBxJyY9FWEUXL7gdt7XG5g/exOPvXgnCbVBIzSk5uXSuFUD9myNpEnLS7OIz3XpjZNez5m0FP47YHjh8elblzHv1GEEUNPuib+rG1JIOgReautmMLDyoQlF7cxxBIiy5136xrDbJXaLLOLIXiTbbOKl7St5qmV3BgY3pZ3f1XMFB7m5s37spFKv083gpWnDmfH6YrzC3GjXrD4LxRbsWvAP8ear/y5j0rQB6K6I/hx94jzPjPkCIQRfL51GQLByaKsT1W1fThVGabNCoVAogOqnzeV1Zk8D/YFTVxzvT/H8dop/KPc1bMnAWg1w1uk5nH6OQGd3PAr2WC4Y8gC95s5GSmju788PfcfgY3TjwOipAIX7Py02G2dT06nr54PZYuODT1ei12kZN6kLGZn5iJN64iNjmf1dBDM/m8ADB/9ESnhr8SpevWcQACv/3ENOVj6rF+3j7e8m4e/qSiNffxr4+jJibBecnA0kJycX2v1k+27FzmVX4lnAcRMrLisDp1wDEU9MK1bvSn5/ahxvrFrFI107Fx6b9uFCdh45w7T7ezK6f5si9VvM+RhMGpYci6D+b2ZWb3r5qn0n5+ZwKDWePjUrN3p1v05N6Lf8UoqhjxY8wZS357N56SEAVv+1nz82vVSkTWZGHjabRKORWMzWSrUXYOHew6w4eYLXBg0gyLti8gz/kzh+JpFXv1vJgPZl21debqqZYFZhlDYrFAqFwkE10+byOrOfA+8KIZxw5LKTwEDgNeClUtop/mH4ODsCPnXwLzrDWNvDm+MTn8GOHRfdpai9WTkmADzcnAB4Yu4StkWdZVzHVvTyCWXdxggABvZrxhhzC37PP47P9kSE1c5bz/wM411AAznpl5bnPvvWCJbO3cnoyT3RaTQMDW9UWObkXLaIwa906Md/dqyivqcvm8UZtDpJltmEu8FYarswH1/mjLmPjSsPE5V7nroNg4iKT0GjEZw4k1Sk7vINR5GO7EEgBZrMq6epsVgstJ37KUhBeIAXq4c+WqbzKI2IqESmP/MTTgYdyz5/FCensl0bNy9npLz0jWg2WYrV2bgtEqunEaGRfPbNCt55e+wN21sent2zHLsGkv5cyJ+Txlfq2FWF9Px82s+ZhV3C8tHjCfe9FDl6wcbDnD6XwuxlO2+hhYpKQGmzQqFQKKol5U3NM0sIEYAjp937BYdNwP+klJ9WtHGKokgpOXQukVrennhXgZyl4d+/jdmsp46ngQ2jnwHglXVrcNEbWJK2jaR8C/5OehZ0msLY534A4Of3xxMU4MmFrByEECRkZtO0awihNX3IyTHh5+vG6J5t2LsthjwPI9rUPBo2qcU7vQex70Qs9/VtVzh+s3ZhNGsXhs1muy77j6Um8viWhQA8EtqRnRfisNjtZF7mzK5YvJ/E8+ncN7E7BkPRj8v/3lvMioWOWcv5y57lk+fuYdfRMwzu0qRIvdlzt+Ij7aS3suO7y4TNTX9VmzIsZpCO2eu4zMzC4zNe+p2N32/Eq34N5m38T7nOc/eRM9ilJNdkIfJsMs3Dg0utn5dnZsKQD7HZ7Lz74WgObT/NoS2RvPZx8YBVder4YddpSQrXscR2gXVjZrJz7gvlsu9G8LYaSTGaaBtUs9LGrGq8u2MDVovjpsP0DStYNOLSDYX7+rYi6nwKA9qFs+OLCh5YUu3u/lZVlDYrFAqFAqiW2lzu1DxSyleFEO8CTQsOHZNS5gghfKSUqRVrnuJyftt3iHdWb8TDyciWpx+p1JQtJWE2OWb44nNzAXhv82Z+PHYQ9DYMPmbsUkuyyUxGdj52KUFCelYeQQGefDP2bnZEnaV3w3q4GQ1kZeWTnJLNN99v4pUXhrFk9uPYbDYyM/Pw9naEJG5RN6SYDf+3fQY7stNxslqYbLiPMX07lNl+zWXXr3twHdz1A/Fzdi3c15twLp1PZi5FoxHUrOVL38GXIjGbrVbmHjqIV8EuXrvNTliwL2HBvoV1EvIyeGz7LxiH6Wi5Ppgnu/eizZRapdrk5+LKgHp12J14jgWDLjklm37fgTBZSD8eX+bzu8hdfVuw90QSNf29runIAvzy5XrSM/JIaOfMxLmLaGp1YebHY3DyKD5bPeyutnTv0ZCeb34FEixu2hJ6vHnsmfIUGXn5eBekhqqOTG3bmXlHjyAlvNipR5GyeiF+fPcvRyDb+27C2NVtX05VRmmzQqFQKKD6aXPxsLAlIITIFEL4XXboNyBWSrm7QCwDgaSrNL+8n0FCiBNCiFMFKQOuLO8hhNgnhLAKIUZeUWYTQhwoeCwpi93/NCw2GwiBxW6/1aYA4Gw0o9HZaOtXA4Aa7m4INxMaTwtaYUOnsdHQ05uGYQF0HhRO8751qFvb8Tbyd3NlaIvGuBkdDnF4/UDsUrJqewTrtjiWHGu12kJHtiSiklM5kOHYE5uv1fPVzHWYyrFvs5F3AH/fMZHlgydR18OX4WFNmH14Dz3nf83ZrHTcvJwIqeWD0agnvElRJ9AOJHdxIqm1IGxcPXz83Iv1v+XCKWKykzluPc+brw+lTbPSHdmLfNNrNAdGT6Oep3/hsTsm9UK6GAloG1bm87uIu6sTP787npnPDb92ZWDwyHYIwOqlBwERpkzumvUzQz/9sciy44t4+7jRNEWPe5SZ+xvfpL2ZV0Gj0VRrRxYgyN2TqCeeI/rJ5+gYUrb3WIUhb/ChuCGUNisUipJIzk9hV8reW22G4lZxC7VZCOEjhFgthIgs+L/EIIRCiPEFdSKFEOMvO76hQI8u6krpKVAo+8ysG0Ud3z7Alb8gS50mFEJogVk4AlLEAbuFEEuklMcuq3YWmAA8V0IXeVLKVmW09x/JuPataeDvRz0/n1s+KwtwfELRrVgPtmrNV1FbOW/OwGQ1cHTE8zjrDURcSGLhuZMIIRi+/F3cffL5ot1z+BkvpZ1p2TKYVUePo8fI8nVH6NPNsf81NSmTo/vO0LFXIwzGostz3YwGrFE+uNZJxnhUS44AraZM92cKqed5aSb1Ql4Om+Nj0AjB/BNH+GrvbjSD4JM+9xBa269IOyedjj/vHsfezvFMbNnmym4BGBDchK2Jp6nl6kOw841F+X36hWE8/cKwG+qjrASH+rJiz2vc8cRHJJjy6dGpIRvjY0nNyWXn0TN0alanWJvWU1uy6+RWVroklvjhVfwzqW53f6sgSpsVCkURMsxZPLDzDexS0Nh9CZ+0ff1Wm6SoZG6xNr8ArJVSziy4OfoC8K/LKwghfIBXgXY43Oe9BbqTVlDlASnlnrIOWO5lxqVwrUvXATglpYwCEELMBYYDhYIppYwpKKsaU49VDI0QdAmr5JmXcrJyyCNM276YPsH1+ejoRnakHqGhVwDhAT6k5OZhd4on1yY5k5NQ6MwuOLWFF00bYATUjsvjxUl3YLPZGN/tVS7EpaL38WHwyA488Z+izlyAuxuLH3oOq81GpM956o4PQKcruzMbl5nBoojjDAlvSB0vbwKdXWntFkRsdiY+OmfMejNSA49tXEjUg9OLtW8dFETroKCr9u+hd+bDDqOKHU/IzqTHn59jF5L5/cfRukbV3O+5fNYznM5M5tuIHQz2bMCGdSd57qPF/P7OBIL9i+a//f7kLtBKTuddYOXGrQzs2bXs45w+yb83rGZC8zY83aHztRsoFIryoLRZoahGnMs9h/1i7I289FtsjaIaMhzoVfD8B2ADVzizOAIUrr64BUYIsRoYhGN1UbmpSGf2WoQAsZe9jgM6lqO9kxBiD2AFZkopF11ZQQjxCPAIQHBwcJG0LNWRjIyMShvLZLOyMi6Cuu6+PBjUlOOpF9gcdxhnJxPR+bFM7z6Yhh7BbE46iFXaqGX3Kfz7bIuOoK5wTCbUbGjAbs1j3neb0Gan4x9qILuHJ+YastS/Z4P6XoC5WJ3SrsHMjes4mZLMoZhoZvTpT0pOLvmx2QQIDc7ZVnp7B3E2Jx0J9P3mM9ycNcweVNw5LS9LTh6htpMRJMzfv5vQ9k433Gdp3Mj74OOtKzi3OQ2dm5baHk7o9VqsphySk4tGNr5TBLLfnoomU7Aq5hBtm5Z9ufHaY0fwscPmk8d5oG6D67a1NCrzs1CtUDOz/wSUNl/B7fB9UdVtrOr2QdW38Xrt88eXnsbanDOlMz5k8E39vFX1awi3h40Vzo1rs1/B9/pFvpZSfl3GtoFSyvMAUsrzV1kmXJLuXB4YZ44QwgYsAN6SJe1xu4yyOrMlraIu76UqaalTefqoJaU8J4SoC6wTQhyWUp4u0pnjQn8N0KpVK+nn51dSP9WKm3kN7FKyLzmOBp5+LDi9nw9Ob0cisecY0AiB3tmG3paLTgpmn9jLWz1Cubtx32L9zOgxjo5L38Nqh4X9p+BmdKbngPbMmfYr58fWIruW5Jw9Fm3yPvJsFp5tPBC9Rke22US73z5GKzTsHzMVg6HklDMlXYOTqclsyEgg22qme2Aj/Pz88PGVNK8XRkxKGn1aNmWMe0fe2bqGLw/sRaAFq/26rmdOdj5/bzhMry6NCPBxZ5xnF76JOoRJWpnavS9+bjc/P+r1vg+cU905H3MegeD3zyfj4+mCk7F4NOYZI+9j6FMfkGsVPPnK3eUa75EuPfhg1zbub9ripr5f1fdBBaP2vVYFlDbfJJSNN05Vtw+qvo3Xa9/LftMq2JKrU9WvIdweNlYYFaPNyVLKdlcrFEKsAWqUUFTWVHCl6c4DUsp4IYQ7Dmd2HPBjaZ2V1ZkVwHwhxMUEmU7Aj0KIvILXZUlcGQeEXva6JnCujOMjpTxX8H+UEGID0BpHonjFLeLzY1uZdWwLwS6evNnuDiQQ7uFPrDmPPKuFaY378MX+XaSn5LJRpvK85U9+GTapWD9Go5EDI/7D3pRIxu78H519m+IifPjq/Ifsio7lo7fXkNcpnW/2b8PoCV38G9A9IJwhi2djNjpmCCevX8APA8ser3VjbDR5VgtCK3i6k2NJrEYIZt41sEi9Q3mJCE87MlfibNDTa/43LBjyAL7O1w46lJSShY+XK5Pf+YVdbhm4HtjGwZefxllvYPfYqWW29Wbz0geL2XPkDD+/PwF/n6KO9cDgupzOP0XXO5sTHOB5lR5Ar9ez4ssrV5GUjXBfP768o3L2AysqDsE1NmMqKgOlzQqFQqEopDK0WUrZ76rjC5EohAgqmJUNAi6UUC2OS0uRwaE7Gwr6ji/4P0sI8SuOrTClOrNl3WD4AxANxBc8fgZOXfY6+loDAbuBBkKIMCGEARgDlCnyoRDCWwhhLHjuB3Tlsv08ispnV2Isnx7ZgtlixybtdAmsA1g4npHAix06sWj4/WicTSwd9QAB3o50LZ1Da/PmznXM3L0R2xURmbfsiGTaxEWkLIBfTh3is+ObmLrjDzp41EQ6CaxhVuxO4KxxIlDvCKY0JKyJ4z6OHUbWb0F5GNmwGcPqN+bVLr05nZXMxE1z2ZoYXazeweTz6DSCuxo3xibhXE4mh5ITrtn/z3/s4N5JXzH99T+wu+oQEsw6WWI04FtJUmomW1cexxyXy91TvipW/t4bi8lIyWX330dvgXWK62HVrggee28+J2OvGcRWcfujtFmhUCgUVYklwMXoxOOBxSXUWQkMKNAQb2AAsFIIobsYoV8IoQeGAEeuNWCZZmallA+Vpd41+rAKIZ7EcQJa4Dsp5VEhxBvAHinlEiFEe2Ah4A0MFUK8LqVsCjQGvioIPqHBsS9HCeYtYv35kzy9ZREWaQMNfNNtFOM3zsEmHfdGXj20grYBwRxOj2d9QgTbHpqGyWZh5/k4Jq35EyT0rVWP9oGXAh/tOXgGAWjinRgQXIslZ0/Q3COYunX8Gd6qMeuiTuDT0o0DiSkMWfUNf/SbyHPtejG1RRcAjhyMZ2tsBF17NSrTOXg7OfNhn8EA3Lvme/alxBObncbKQY/x/uw1rMuJ4YKXiSmtOxN5PJ5R+obUauFDntVCt5Da1+z/bFwqGo0g7nw6P8x6iF+27qdH03pVIgr15Rh1RrRpeejT89FlFs8j6+3lQnJqDnXrXTMyuqKK8J8vl2O3S579eBFL3598cwerWvdmqh1KmxUKhUJRjFurzTOB34UQk3BEwr8XQAjRDnhMSvmwlDJVCPEmjpupAG8UHHPF4dTqcejRGuCbaw1YmQGgkFIuA5ZdceyVy57vxjHVfGW7bUDzm26gokw8v2cBJmEGqaOZVxBhHt6Mq9uR7Ul/YLcLaji5kJSZg11Kmns7/pxGrZ7mfjWo7e5Fhimfk6nJRZzZCfd1wdnJQIc2dUizm9m49TybdXHkt7by72l38m/uZO3ZUzyW5gh09mvULlr4DsdgMHDkUCzT/+9XAKb/awgD7mxZrvMZ16AdcTkZjG/QgXMXMvhr/RFiu9ogBz7YvI1Gn6fxljjAj+te4P/ZO8/wKKouAL93tqf3kEJIILTQe5depAgICqgoVUT9BBV7V+wNKyqKgiIoKBZAIEhHOoReQkJCSO99s9md+X4sBkISSBBIIPM+Dw+7c9uZSbJnz72nePtWLr51xv19ad4kgPat62HU65jcuyOyXPO++bu4GNDnWUBR0GYWlWqLj01n4v29aNIykKAQ1Zi9UfD1dCIxNZdWjf0v3/k/opbmuTlQdbOKiorKzUN16mZFUdKBMglyzpXamXLB+/nA/Iv65APtqrpm1YpyqqgA7T3qodEqdPDzIkN3gl7rnyXAxZmIwbPYMfRRujiHEn3SijnaiTF1z8ePuxtN3B7ajNTcQp7bvI79KefDstxcHJh23y20aRGExWpDQkKWZZQLtpce+nkJxckmpJM2HI3lV4goKDBjs9qqdD+31WvO9uEzuKdhO/x9XOnbpVHJLo8h01YigUZyPiyLAAAgAElEQVRT+VNVRwcDHVrXY8WqA0THpPLcxyvodt+HrP3neJVkux4Mn9gdodPQdWjpTYDHJszjk9f/JPz3/QBM6vcWg5o/y/x3V1aHmCqV5I93p7Lpi4d5feqQa79YNRZmV1FRUVFRUSmHWqabVWP2BiGlMJepm5bwU9S+6haFL7rdxfzOkwg2+qDICigQkXkaBwcHvBycCHXzBkDSyqQVFpYa62NyKnntrC/r1gowsG0jPps+kqVPj8ekP585t8hk729z1HN/aO+S681b1uX1t8Ywamhr5j39MzOGf3hF92WVZdIK83n5f0M49dAsJpkb0jvDj5lvjubjZQ/j4eVcpfle/nQFi37ZyStv/sHuo2cAwe7DsZWXx2pj8rOLuHXKZ5w+m17Fu6k8HdoHU8dJQ5vmpU/yvHxckGUFX393ABJS8kCj4Y8fd1wzWVSuDg7GyuT9uQrUMoWpoqKiUpPZk3GIZw6+wba0vdUtikp1Ust083V1M1a5ch7cspQ9iSmEx8YwpkHbapUlr7iI8et+wirLuBhdGdAgkDFB3UvaHXXO2PQKNiQikpNoV+e8d9roRs0JcfXA1WAg1M2z3PmFELRvWMajjbZ6Fw7lpHJXo1b4mtxKtXXqGsrJHZH2ONWoFBRFKTc+dfhPC4lOyeCbUaPo6F+3VNtdvy/l8IFTeBwxMLBHGC8+PrxU++BlC4jNyeaHIaNp43tpF873d2wl3CcZ+kuMNtajZ58wtu2PZsygyv/ssvPMnDydjCQJDp6IJySw/Of1X/nls3ASolNY8sEqhk7sVXL9w+/vJyM1lzoB7sx57HvIyQdHI/fMHFDSZ+/eKPbtP8PUKb3LmVlFRUVFRUXlevHJqc9RFAtfRn1FN6+ySR1VVG5GVGP2BiAhJ4ejx3KRZB2OftUtDRg1OryMjiTm55KfZaK7c0ckyX7Iryg27vB+nW1BPsi6zkxsUdZ4a3fOEBy8dAFHspMZ37A1s3sOKNPvYn6ZOo3UzDw27TlFenY+nq6OpdrvmN4Xd29nGreuV64hm5SXw9FT9uLhT69bzfp7SyfHOZZ6GlO+hCIrrP7nCC88MrikLS4ni6Pp9uywb+7YTGtnP+5q04pg99JG9b9EJCfaX0iCaVN6oddqadmoajGMW7OjuGtce6zZCgO7N63S2H/Ze+gM3y/bRN/urRjWv/yMz+Ofvg1zQREjpvUpdV2v11InwH4qu/r7LdgUUHxc+OnPCAaN60zcmXRmPbMUFFi15iDLl864IhlVblAUNWZWRUVFpSbhonUnuzgZB03VPMlUbiJqoW5WjdkbgBNpaYDAILQs6T22usVBK0lsHjmNj3b/Q3JBPnvzIimOKWB0cDtQspFsB/i4owbh0pkvDm0hOjuZd2+5s8w8x7LtpafWnDnFbMoasztOxLJg4z6mD+pMy3p+xORk8NCbS8lKLmTjnkg+feaOUv2NJj1Dx3cvM8+/eJscMbpImPNtjG1R1rBrH+DDdlM8ihZkL0uptgAnF8I8vYnNySIlJY9vj+/jcFIKP951R5l5AD4dOIznNobTIygYvfb8n1lsZgZTNn1PppTPSK/WPNlpIDqNpsz4dw+t49uorQhg651PYjToyvSpDIt+20VSSjbf/PxPucaszSqzcUcUobe2pduQimPum3ZowOFTKaDVkZmWz4fvrKJ1p5ASd5TcvKIKx6rcxNQyhamioqJSk/mw9ascy4miiUuD6hZFpTqpZbpZNWZvAG4JDubRrl1x0usJ86kZWWV1Gg2zOvfg+6gdvHdkLcvj9hNs9OWZzeH09nuMvgFprIxyYV3eSkjTcsvkeIZ1acETU/qhKAqrTp5kfGgbtiXF8nTnHmXcgrPNZmYs+JPCwmLyzUUsnDGWYeFfodEJjLKOEP+qu9xqNBoO/W9mhe3fDplEx+9fo6BpITtHPVWqTZIkVo22l816d+MWvtq5h94NQiqcy9Vo5NNBw8pc7/vNfDQh+Sg2iR/jd+Ox0YPpfTuX6We9oA6vrJSf7KoyTLijC4t+2Uyf7uVneD58OI4/frPHYXfp1pA2bYPL7ffhqqdIOJvBfWM/BwWG3NaWtu1DmP/dZnJyi1i04P4rlvF68Mfx43Rq2JBmvr7VLcpNxbXe/RVCDAI+wp6i/2tFUd66qN2AvY5qOyAdGKMoSsy1lUpFRUWlZqKVtLRwa1zdYqhUM+rJrEqN4mhmMhvioxjbojWeRofqFqcMnbxDcNEZaeTiy+rTkZzKTOdUJiyMU3B2346tWIcx2oA1T2b5ugMEdfXFUmzlrY1bkBWFdu0SWZC0nTdW1eHVjhPo0T4UgNUnIsnVF6MpAp2fhoe3LkdSBPmtLfi1c+exkb15bcYCtoUfQ++tJ2aCNx/1HULvoPr/6X52jX/hsn2e6NWDWT27X1HNWEURSGYJxSijTdHjVa/8n+kzrQZQz9GDRq7eeBqdyu1TGVo2CcB/Wn+8vLzKbW8Q6ktQPS9QFBo2rHORrArvPr6YmMhkXvpiAkU5BTTSKXQb0oa27UPYsP0EKbIVHDWs3Xac8SPLGuU1gcELFmDNyueNrbs4POsRjFr1Y++qcQ0VphBCA3wG9AfOAruFEH9cVMd0MpCpKEqoEGIs8DYw5tpJpaKioqKiUsNRjVmVmsTkDUtJMecRmZ3GnG63Vbc4ZWjk4suWW58EIDY7iyNpKfSqG8K3cWuwAc5GPbf26ECclEtWsMxTG9YCYEKDUavDKmWhAYx+Bew6GFtizN4SEkxwkCduDkbWW05BLIwJbUkH77q0cwtkzp+b2br+JMU+JqyFMrmWIlZEHb+kMRubm4GvyaVSxsyxxHgAmvoFlLqek1XAysU7GDCqPZ4+las5eyFv3zqAd7Zt4s2OAwjt6U09L/cK+94V2r7CtquFk5ORL7+ZXG5bZloem1YeoMjVyLjJX6BxM6DEpBLz3grumjWUXX8dwuloKmY/JwqLrNdc1islI7+Qf39SVqsVapkxay628vG27dUtxpXQETilKEo0gBBiCTAcuNCYHQ68fO71MuBTIYRQFKWWqXIVFRUVFZXaSe36VncD0tY7gL/OHKe9d9nsvjWNeq5uTGjlSZCzFz+m2DDLgsfDhrDwwFH2N4jDmH8+YdPGSZPZEB/N+wdzCHGx0bOgDZNGdylp93NxZtWke8kwF9Dx14+xKQo96oQwpF4Yk777hdgvIrD4SiQMcUQUKwyr34RH23erULZXdq1lQfRuTJKOI3c+ecn7WLZvN3MSlgLQK7Ujr9w7Es25uNaHb/+E1KRsvv96Pb/ufBGj9nwJlKNJKTyzYi3DmjVhSpfyDdHRzVswunmLyz/MGoC7lxN9bm/Hyt1R5HvpUTQKxvZ1ub9HcwAid5xGsioECh33j604Vrm6WTdpAo//upxhIcE4GY3VLc5154+jx/luz/5rMvdVcGXyEkLsueD9V4qifHXudQAQd0HbWaDTReNL+iiKYhVCZAOeQNp/lkxFRUVFReUGRHUzVqlRfNp9BEU2K0btlSUAup68vOcNNmRlYNJYsCouGCQtLlojUfn2RE82o4VXO/SnlW8dfJ2dWR51lJRcDSY8efruIeXO6WF04OidsyiSrTjr7YaIpBfIOoHsYM+grHXU8VqPfrhewlA5nJmEAMxycck1qyyz7MhhegaH4Od8PvPf0eSzJRWY/951iORd2cybaz+9lDQC5dzYgb99xqbRj5aM+35PBMeSUzmdnlmhMXs5ziZlMunFRTibjCx+bwJ6nZa8giKeeHs5RoOOt2YNx6C/Pn+2Qghmzh5F+KB3KSqwUeykISzIh6h0MzabjUdeu51f529m3IN9y4y12WQ0mppRxtrJaOT1ARW7Wt/stAnww6S7Br8zV6ceXZqiKBX9sZTnx3/xipXpo6KicgOhKAqHM5IJcnbDVV/7NiCrypHsONYnHeT2up0JcLg2JfxUbiBu0Fqx/wXVmK3hCCFuCEMWINOSC0KhWNbwcbuJ5MsWpm1diiXFBFYD4zu14d6WbUr6v9S5L59E/MN9YZeuvarXatGf+1X96tQaCEzjzAgXdOk2FFlgMduIz865pDH7Zc/RvLR7LX0D7G7MZksxA5/7iuyCIl4Jljj2xPnEUC/eOpLYRakcORSH0wEdufXPZ+r9+JeH6PXEB+Q0MBBykbF2b4c2RKakMbR5k8o/tIv4ccUesoqKyCoqYvfBWLq1a0DEsbMcjUoCRSEyJoXmVSzxczlkWUYIUW4MsEajYXX40wAc2n+Gxx5aSBRQZC7mudduZ8brozGY9KXGvPTcMv7ZFslzLw6nV5+wqyqrStVp6OXJ3hkPImY+dPUnv7YK8yxwYTHoQCChgj5nhRBawBXIuKZSqaioXFM+PriNz4/swE1v5J/bH0Qj1YyN0ZrK4/u+Jbu4gMPZZ/iy4/TqFkelJqAasyoqVef3M/tZl6Il2JjLXfVvpZ1XA1adPoGlQEIpEggEO+LjSo0J8/Rhon9bZr3xJz1ahvD61MHIisKK4yfwd3GmfUDpeNXwxP0sjPkbgKEdW1GU6kR4dBQAZzKyCPOtONOzh9GBT3qMKHn/3a7dpPrmYozRIuWXNeK+uft+Nm49wTrTYZ594nxWYhcXRz57ZRyr447yQpvBpcY09fVm2aS7KvnEymfckPaE7zqBi8lAh5b1AGjfPIge7RtgMuho0qDOZWaoGqePxvPobR/g7e/GZ+FPozfoSE/LZe6ctbTpEMKQ4ec3GlzcTCgWC5gtuLs78MDg90mITUd20DNiXGcaNAuk18DmHIiIBSBiX6xqzKr8F3YDDYUQIUA8MBa4+A/sD+A+YDswGlivxsuqqNzYnM3PRlZksixmbIpC2eJ1NxZW2UZCYQaBDp5I4uob5vWdfDmUdYZGzld3o1tF5UZBNWZVrgoHM+NASMQUeSJL7kRlpTNj4wrAiM5dwShr+bDv0DLjNh+IpqDIwt/7TvE6sOL4CZ5ZuxZZUdh6/1Q8Hc5n+63rcN5NdFhoC/p0a847G7Zg1OkY1LRRleT9KG4LlkAbsiv8Omx8qba0wnw+OLCVHnWDmf3SqDJju9QJpUud0CqtV1nq+rkT/tXDpa4ZDTpmzyxb5ue/8vP8zXzz2XpwcuBsTCp5WQV4+Lry5/K9bN5wjE3rjzFoSGs0WrvyrVvPE21UPIqiEH8ohtTEbPvmn03mj+X70Px5gJSkbF5/ewy7dkRx++gOV11mlZqD4NrG5ZyLgX0YWIO9NM98RVGOCCFeBfYoivIH8A3wvRDiFPYT2eovxK2iovKfeKF9Xxq7edPeJxB9OXXYbzQe2fsNh7JiGRrQnqfCRl71+T9uN4UkcxYBJo+rPrfKjce11s01EdWYVbliUgtzeD5iEW08Qnm2+RDOFmTiqDVwV/3OrEs4ipNej9lqZcXwe5mxYhX9f1jApOZteaF375I5JtzaAbOlmG4t7DVb/V2ckRUFJ70ek660e3UT17r83v157v77R6Zv+Is3Oio83bfnFcne0MGHI4UJdK4bwk9x+wnMdGNq085k5OfQfdnHmIWWJZEHiLrnCb6J+ptVCft4oflo2njYsyXn5BTi5GREkqpenqemsDX8sP1TT6vh7lmD8fB1RZZlovbFYrIpdB3cosSQ/RfJqMdWYMavnhdTnh7O0q83kZNnJjWrkKT4LPwD3WnWPJBmzWt+wjKVq8A1VpiKoqwCVl107cULXpuBO66tFCoqKtcTF72RKWEdq1uMq0Zsfgo2xcap3IujJK4OWklDoBorq3IhqjGrolI53jj8C1Hmk0QlnOTu+t35sst9AAxd9TnJ4iwOnjq29n0WR52Bw1kpIMEPRw6UMma9XB15/t7+jFo2n5lHf8BFcWPr/fdj0ulw0JWNFfY0upCYX4AkBLF5WVckd2xuJmObtGbOwXxkncKCYxEAdPIOYtrqr7BodCCDw/ECHuz3Fvtm5qDo4NVDy1je80l+/2UPn3+4hnYd6vPGh+OuSIbrzZn0LG77cAEA+iwFkSWDp0TDNAfqBntxzyODAPj5683s2XQCgC4d6nPoZAI+Hk74erkgSRI/HniQmGMradWtO3e8uJazBdm8/dBQujQPISerAK8rKFekcuMiVI9eFRUVlUvyQduJ/J10kBGBFydjV1G5NtQ23awasypXTFfvphzIOYhGccQozhueSQX5CEdQUDBo7L9iHb0C2JOawLS25bueRssx6D2sZOVm8uXhXUxv2alcYxbgl4H3EpGWwLDg8/GYWem5jGs4A8UmMz/iHfxDysbPxsVn8E/2GV44sBbFJiiWZTSZ9pNHIQQ+Dk6EuDtiIQtJUigWEnE/ZFJfqUs0GQwJsMePnjqZiBCC6KiUK3twV4k2iz8io8BM76AQvut/Z4X9snILefmbDci5NmwOAn2u/UNOzpX5Ibx0maLm7YIBEAL+2nuSDT+EA7D0vUnU9XPHRTxNy8anKM44wpmENijAe4s38ue7DVVDtrZRCzMmqqio1BwOZZ3FXe9AoEPNdq9t7BJAY5eAy3dUUbka1ELdrBqzKlfMqKCOvL5/M/m2IhoteI/HW/Xm4fadWNRnAr/G7Gdcw7ZoJXu8y89jLx3KVpynQ+tkJSfXgXmHdyMrMs936lNu31BXL0JdS5dZ+fLFpVizcgH4YOZC3vt9Vqn2hYu28d13WxAagXQPCI1EZ99gHmzRhUAnZxy1BjyMDvw45Ala//4CZlnCIDTMeHcc/W/rXGquaQ/3J6S+D2071K/S87raZBSYAdieeOaS/T5duJG4vUm4aSFwcF0c/DVERJylXbsgIuNSORiZwJBuYRgNOpq3C2b5npeRtBL3PfN9yRxnEjOo6+cOhq5QEInWoQdOzsXk5hfh1NhIq58/4NMeI+nhF3JN71lFRUVFRWVt4mFeiPgFIQS/95qJr1HdTFVRqa2oxuwNRE5OIT8s2EqbtvXo0q1qCY+uBRZZJt9mL1sj9DKLj+1kZNMmNPbwxnq6mMF/fwrAKy2GcUeDdpec6/CkFwCYuHYZW+Jj6B4QDEDM2XTGzv4eCcGvsydSx6uswrJarXQZ3Ia/v1sPssKkl24v0+fUuVNUxabwertbaR0QSAOX8mNMdGmu5DoW4Wp0ov/ozmXanZyN3D7m0u5CiqLwQ/RO8qxF3N+oB5prkMHw3rDWLI86yutdB1yyn5+vK/tJxORi4Mfppd2ie0//FEuxlcT0HB6+owcARgd7qZ15s8cx6ZlF1PP3oFvbBgBILs+hOD+FEFrWf2K/z3Yvvo9UaGOl/1HVmK1l1LYkEyoqKjWD3GL7Zq6iKBTZii/TW0WldlHbdLNqzN5ALF2yg2Wr9rB8+R7WrHu62pMPGbVaHgvrw7KoPURlF5BgzKP7b5/xQFg7fo7dD+fst28i/7msMfsvc/sOxyBpS2qebtp7CgsyADsOnmZEn1Zlxgxt9iyK0YBny1AWb3+53HmfnjWEj4w6WrWsy+CmZecASM8vIM9iYUCLZiyJ3ofJYCi336EDsRzYH8vYe7qh1dpPno9nJSMQNHazuzcfz07ig6PhCARhrn70rHP1Nx9e6zKQ17oMvGy/yaO7csfQrgT6upVpC/J158SZFOr7lzXsnUxGfp4zGYCN0af5fPk2kk5nMeeREbRtZE/wtD3iNKZTAmHT0tbs9x/vSOWGo5YpTBUVlZrBiLptMWp0+BpdCHJUkx+pqJSilulm1Zi9gYgLsBB9mxZfc83Jojs9rBt+Ong0dyMoAizw+b4ItBoJnTMg4LdeU8uMKygoYNCqedzZsBUPt+oFwIfHVrI4dhsT6vfkwUZ2I23Mre1Yc+QYDugZekuLcmVQzhmUWZkFFcrp4KDnmSfLlgb6lxyzmb5ffYvFZqNHm7rIFg3xtvwy/YosxTwx5nOQFY4cjePNd+5mW3I0E7csQpcqaLLDgwE9w7h7fGd8jS4U2Cw0dvWtcN3rRf1AL8JPnGLGrysJcHMhfPpEAL55YRy5+WbcXRwqHLs/IYEH//iDItmGmxlmvbOcx+/qxbqtJ9h9Jh6rQeChN9KrTcOyY7ef4vtP1jF2Wi869mxyze5PBbILzSzdc4iuDeoR5l9xzeWrSW3b/VVRUakZaITEkIDyN6ZVVGo7tU03q8bsDUShI+i0GrQ+5Z8YXhcZbBY+OhaOv8mV8fW7sSrmJE9u24GTcKB5rgf7U1IprCtjRcPXHe6lra8/RoOxzDxtfv6A4lwjc1J2lRizEZkxCAQRmTEl/VYnHeJI8zMEOrij1Zbvqjt2UndW/7yLpz6ffEX3JMsKP+04SHF+MZJJwyC/xng7OtK3boMyfbPNRSiSQMgKGdYi5n6/maWnDkALMEVKpKfksXT5HqZN6sXq/jOuSJ6ric0qE5mazvhlKymyWSmWZWIyssgxm3ExGtFqpAoNWZvVRkZaHm4mE5IQaCUJnSJjtlh5c85qEFDsKqHVa3h8Sj98PJ1JTslm9eqD9OrZlHr1vPj2gzVEHonn63f/Uo3Za8wHa7fyy77DzN+6l3+eeeD6LFrLFKaKioqKikqNp5bpZtWYvYF4vmsvWvrUoVtAULXJ8HfiUX6J242iKPSuE0ahtRiBQM6FkzHZ6GUNxQUK7UP9+WD/FryMjnzT/3YkqbQh+m/WcEURzDm8iRbufrzeeixrEg9wq1+bkn5JhTlohERaUR6KopS4H1/I3TMHsapZFjOTN7A4z48Ap6olgth+6gxz/96JThE8NegWRjRtykhxPlOyVbYxZvOXxGRl0CyvPj1e7cORY/G8/uidjJk6D4vFSsd69eh4exBnViXTo2v1xzMD/LhgK99+uZGm/QOI0mdh1GrxcjTR0t8PF6ORrQdXsyYmnHta3kvj4LI73M9P+46Du6KZMGMAm6dORUHhwOGzzFu4mbPZmaCAr2Ti8zfuItDH7sL83vt/sW9/DJs2n2D+11MYM60X899fzdgHepeZX+Xq0jrIj2V7D9PsOp3KqqioqKioqKhUN6oxewPhrDdwd1j1utW08aiHh94RH6MLnnpH8qU0JrdpxsjAdny8fCs2WeH9CUN5b/8Wvj68B4D1Z0/TL6j0Kee6kQ8wZOXX1HVxZ+7Rf+yG0u1PcFtAB7QXJEua3LA7dR09CHP1K9eQBdgWdZp9qQlohGBXShwjnZpV6Z5CfNzRazXotXpubdqo1Dp5xWbCE49wPDsZBERknKZhIx86DG7IghP7mDG5Dxu3n2TmoD4E+XtAd/u4/239jTXxx5jepCuPtupZJXmuFvt2n0YI0Gba8EyyorFaKXQp4suZwwF4+cxakhUnog9+yaLgz8uMTzyTgSRJnIlO4dERn5KenMNLn43nyzfv5osfttCuZRC9uzQqtVHRpnU99u6LoVUr+4ZLt37N6Navaj+PKyExOZvf1x7gvjs6YzLqr/l6NYkDcYk8svhPbmkUwq7nHsRBX35Jq6uOUvtcmVRUVFRUVGo0tVA3q8bsDUpEdAJCQKsQ/+u6boCDO2v6PoFVtjJs4/ukW7LRCg1+rhJ1uxUwtcEwTHodg4MbM//IXvSShrY+ZRMDBbl5cejup9mTGsc9GxcR5ubLmfwMxm2eh0ZIrOz7MD4mF3SShiGB5cfKAmw6GMXT81biFKBhYPcmDAqq2qmoxVaMr7MjL43qx+zV61l+4CgTu9qTVWVZCrh983tYZCtOWh35RTbEWT0uHY18dmgnCrBw4B180G90mXnXxB/DhsyCU3uqzZh9/NmhrP4zgo7dgtj14q8A6AvOf8IF28wk4UwoDiz9ZRe//ryLh2cOoFsX+zN845tJROyIonn7YNb9th+AP37YzmvdG/Hk9PIzKN81rgujR3VAr7++Hy1jp81DlhVWhB9kxcKHr+va1c3qwydJzc3n131HeHV4vwo3fa4JtUxhqqioqKio1HhqmW5WjdkbkONxKUz79BdA4fvHx9EowPu6y7AtNZLEwhx0Eug0Et/HrAIEv8YeILfIiJtGz+lJz5UZN3nd5+zOSGFiaBsebTuc9t51OTr6KSQh2JseixBgU2TyrZZKyVFstSEJCadEDS+174dJW/lTqU+ObuCD/dvRahQ6W0JJzy/k+137S4zZIxkJ5BabEQjebjuGMMcgbH1lHIx6lscdQwGaetiffYd5c8kuMLN2/H0Ee3hwX2gHfozax6wW1ede6+fvzsRpvUlLS8PsKdDmKNRtfd4F9cuhn5CVl4anqy8Der6BXCzz3hsr6PbnY0RFp2CxWOk3ojVtn/kUqb8XDplFTH788tmTr7chC/byDABWq3zd165u7u3alsTsXHo2Crmuhqyg9u3+qqioqKio1GRqo25WjdkazqM7F5FpKeSJpkP45vgeHmrRFZPBbrAJBKbr5VJ4EZ08G+BrdCWv2My3naaxMHYV/6Qex1xslydXMfP8G8vZtvEEjVsE8MX74wGIMMdjcFb4NnYvj7a1u7uuOHicv49H8fLQPnzccSxGjY4QZ69KydG3TUM8nB3wdnPCsYrupRsSIgGw2gRjujbHUWvg7o6tS9qnrvuDYskRISnUMXjj6+Jc0rbxDnuG5sdmL+Pv1Bjy/O2utrf9tIiD0//HL1FHKLDYWHwygnsata2SXFeTB377nagz8RQ1NbD1f9Mx6s7/yWs0GjzPZVpu1jaIw7tj6D2gOQmJWTz0v4UI4IlnBqM5t69Q4GPEp64HT334O41DfJk0omwN3uriqw/u4ac/9/LIxNoXm+vn6sycsRVn6lZRUVFRqTxzTnzBgazTzGoygWauTatbHBUVlcugGrM1mJ+id7Am0W5wDV/5PcVWhQ1x0ewfN4M/XpgAQuDr5nTd5bLKMi9u3kBocVPe7TsIB52OoykSMemuSBoLOp2NgZ7N+GdLJEKBE4fiS5I3WYq0GB2K0RXbf/VkWeaZJatRgMiEVBp4ejD7jgHEpmXywHe/EerryUd3D6uwFJEQgrYNA6/oPuZ2G8s9G76jqTn/GzcAACAASURBVIcvQ0ObMTS0dGynQdJQcE7OJu7ePLd7FcuiDvG/Ft14uJk9OHZXRAwGI+QFAjK087e7fReeO1nOLCq8Itkqy74jcbz9VTgj+rdk3ND2Zdr/jooiWG+kwFrMybQ0WvrVKXeeDz+8p+R1SkoOCgpWBep4uqJ3kCi0yswa0IV3vl3H1q2RbN0ayYAuTcqtXVsdNGngx0szVYPuuqPUsu1fFRWVm5qMogxWJh4H4NPIRcxtP7uaJVJRuQJqmW5WjdkaTHP3gJLXbkYDqXlmfBwcAfB1d65o2DXncGoyy08cRQjBtrOx9A8JJTonHQnB3SFdeaGtPZ6yZ4c3EbsF5sZWsosLcdM7cGjUK+QWFeJsMAEgSRIGgxZzkZVTeVmcys9i46tf0NrgTYIlm7MZ2WQVFOLhVHEd1CvF1+RC+OBHyly3yjYAtoyezpyILdzVuDVCCH4+dRCrrPDl0R0lxuyIAa1Yt+04r3ToSaf29fFwsm8u/H7rBH48GcFDLbpcdbkvZOlf+4hLymThbzvLNWa7B9fjbGIySKDVlF/a6GI8PJ1QNBJCgQOHz7Ly2SmM/2gJf0acZEybFoSvO4pGL+HhWvHPZFtENEkZOYzq07rCPio3PrXNlUlFReXmxkXngqdeIt0i08OrehJuHs1Ixt/BtVrWVrk5qG26WTVmazDN3Ovyz61PYlVsuOkd2Z8aTzvvgMsPvMY09fKmW2AQ+cXFdPQP5ExuJiGOXvg5OvNYi14AxOZkktauEE0HBQVw0583fFKK8hGShJPOXi93x/PTSc7Np9/H81E0Cha9wsmYZPr0ach2z3302fQG0xr2ZHqj/pWSr1i2oZM0FbYXWooBynXR3pMYx52//gQK/HzHnTzfsW9J28Qm7VkUuZ+ZLXqUXJt1f39m3W+XyyrLHE9LpYmXN43cvXm5U+Xk/S9MuL0zWbmFDO/XstT1E7EpRMal8swtPZm1fDleGolxP/xEvxYNeL//4EvOqZEE3t4uJCVnE+DvzpG4ZNJzC0jLKaBF0wBWL3wYg16LXlf+x8fp+HQenfMbANm5ZiYNrznuyCpXEYVal2RCRUXl0uxKjeH+fxbRQufJN4OmoJdurK+ZWknLkq4fUCwXo5OufxjXveGL2ZwUA8Cft9yJl1flQq5UVEqohbr5xvqUqYW4Gc4bgR1861ajJOcxaLR8N2xUyfuPD29lb2o8Ik3wcbeRAOQVWzAqNsyyFsMFf1VLow/w4t6/cNeZsP5qQSiCeS/fRcsG/jwzvAdvrt+ExVFmfJtO+Bkc2SDvAmBZ7J5KGbMzt/zJ76eP8kaXgYxrWPpU8GxeJkVmmTFfLAFF4acpY3n/03AkSfDuc7djMup5aM1KZAWwwYQ5vyALeH/0YG5t25hn2/Tj2Tb9Klz7lq/nkZybT8e6ASy+c0xVHukV07i+L3NfGVvqmtVqY8rsJSgoDOvdnMY6d05lxGO1yfwecYxXe/XDUVdxfLEQgm/nTiQ3z4ynhxPFNhv33NIWZ5OeJgHel00ypNWePwE2GNSPmJsZUfvybamoqFyCT49tpEi2kl6Ux6akSPr735gxp9VhyALsT48veR2RlkiLeg0u0VtFpXxqm25Wv2neYBQWFTP+9R/Jyi3g26fHUbeaYhYzLXm8dHAp9Ry9GV6vLevORtI3ILSkvZmnL8N8e3MsI5X5A84bvhlFBUhCkFFYgEeBFgHMXb6Vx8b2oadvfRyHGvB1cKLgVAHvfBmOtr+Exk/wfIvhlZJre/IZQPBPYmwpY/bNiHC+OrIbjVngZHMEBLuOneFYVBIocCIqmdbN6tLYw5uU/Hz8tQ5kaMwALNq2n1vbNr7s2hkF9vjYmMysSslaVb7fto8tJ2J4eWQ//N1dKuwnSRJebo4kZ+SyZPdB/LyMKHk20EHrIN9LGrL/otdr8fSwu0zrNBpmDuteaTmLkJkxsRf+Ts70btew0uNUVFRUVG5sJoR2YV/GGRw1Brr5qIZYVfmq52ju2/ATXgYHbq3XpLrFUVG5IVCN2RuMpIxcziZk4Hw0l4fvnMu8nx7Ep871j61YffYgG47HI+nPcM+w7mwaPh1FUZi641uOZsfzQthIFhzdjyQJFp84wJTmHQCY3LgTwc7u+GucuP/vn5EV6NmlIXfP/gGNJPHLq/fh7+XKMXMiiqIQtCOAxZ9MQq/XsjsljmBnd7xNFSe9+qb3KNbGRXJP4zalru9NPwOAzagwY1AX/Bxd6dO4PtFHkpAkiSahXuyO/pIXO7fC0Ksffg6O9H7rKzIKCjla5zgW2XpZd6mFo0ezMGI/Os9Cuqx6lQdDBmI6a6Br6xD8vf/bz0iWFd5asQkBLNl5gMcG9SAiLp4H3v8ZDx9HVj17f0lfSRIsef0+cgvM3DZnYckOnVMiRKWksLd3HO0CL33KfzDzLF8v38qeX05hc3dAEfDetIHc0r10kixFUXjx0cWcOpHIG5/cg1egG2M++xGA10eXX4tW5SailrkyqaioXJo+/o05POJF0tLScNBWrcKACnTxC+bkXU8BkJaWVs3SqNyw1DLdXLmMMFcJIcQgIcQJIcQpIcTT5bTfIoTYJ4SwCiFGX9R2nxAi8ty/+66f1NeP2LQsFm7dR2Z+xRlwQ/w8uLdnG7SyQLbJxMVUz4ddVpagINNEXpITafn2zL2FNgu706PJtxYxY/2vyDYFCUEH3/PZhrWSxMDAJjRw86F/04bMHNGDeVG7sSoyxecSLwE0DfXjrwUP8/PcqRgMOhafimD8+iUMXPE18iWytDX3rMNjrXvgc5HBO7/HXbTy8eHuxi2Z2KkDg5o3Qq/T8tz/BvPMQ4PYH/sezQxz8LNMws/RhFarpf1Ad3Rds7CZbORazJd9Jh0DA/l06DC2ZEZgFWY+jFzJnB82Muv936r6eMsgSYK7urQiyMuNwa3su7WvLQtHJNnIPJDDvjPxpfob9Fq83JyY0Kc9VmfZntlO2F1PVkadvORaSYXZ3Lf1O9a7HsfmfK4MlALzftpGv4/m0/XdL0jMzgUgNSWHXdsiycrIZ8/2KDSShF6jQVYUnIyG/3zfKjUbofy3fyo1A1U3q6ioqNw8VKduFkJ4CCHCz+mEcCGEewX9VgshsoQQKy66HiKE2Hlu/E9CiMvuil03Y1YIoQE+A24FwoBxQoiwi7qdASYAP1401gN4CegEdARequjh3Mg8tPA33vtrMy8vX3fJfh5h7pwe6Mipvg40b1M9cbS96jbAUafHpNcy7PcFfHtkL1bl3BGgAggJYdFwR3ALWnn7lYw7lpLKoeRk3vliLRs3HeezeRvp4B9IdmsrI8a2wN/LfoJptlr56OA/LDl58KrI66I38Vv/KcxuX375Fr0uAEkoZBU7sCftLK1/e4sss41bfJowo/EAPI3njeOzuZk0/ukNmv78JunmvDJzuUpuKIB/sTeyrBAS4HlV7uG52/oQ0sKTe9Yu5dGNK7m7V3tsDgLFT0OrgLIldz5as4G3d27B6ghmL7AGSmTXt7JgRwThJyIrXMeo0aGXNGh1Glq28EVGRpFtPPfcSJJz88i3WDienArA6vDDyA5arFpBv8EtcdDrWDVrIssfGU/3RsGVvjez2UJmZn6Vn4lKNaJg3yT5L/9Uqh1VN6uoqKjcRFS/bn4a+FtRlIbA3+fel8e7wPhyrr8NfHhufCYw+XILXk83447AKUVRogGEEEuA4cDRfzsoihJzru3i0OWBQLiiKBnn2sOBQcDiay/29aNxHW9i07II8/e5ZL/3124BAQoKyw8eZWyH61/+pKm3D/unPki7Hz+DYjidk4mLzsQDDXuzPzWW9XHpaCSBh+l8AqvojAxGLf4REEwPaIUCaLQSL3fvxyu9B2DQnP91XHn6ON8c3oNNUegZGMK40NY0cvWmnrMb0mUSEF0J7UImcTCpFQ8cWkuh/DNmm5XtKTEcvf25Mus9v3cFFiuAwux9a/iw66hS7X8PehKwu+Bm9C3A3eXqlBXaeCaalZEnUYDfI48xekhzds1/vML+c7ftQ9ICbqCxQnaABRSQ8mWWHzlG/8blx7O66R1Y038GZlsxdW477x6tKApPDehBrtnCLaHBALRpHcRiZwPNwgKJO5POtMlfE9TQh9mz76j0fWVm5jPqrs+QFYUXnxhKn77NLjsmNSWHp2YtxtvbhdffvhOttuLs1SrXDvV09aZA1c0qKioqNxHVrJuHA73OvV4AbASeuriToih/CyF6XXhN2DOM9gHuumD8y8DcSy14PY3ZACDugvdnse/mXunYMjVqhBD3A/cD+Pv733DxBs8M6ETXOl6s2n4MLxv0bFN+8oSZ3dryw84IBILeQX4V3md2dva1FJd7w5fgKRSCHJyZVr85aWlpjPZoyWiPlsT4ZhGZmU5ywVmeXzufmW1vw5yXR4jBiAJ0bxfIkI71MRn1RKfF8/bRlXjqnXiq2WA0QqKR3pEwozMeRge0hWbSi4oJloyQbyYt//Iuv/9SlWfw1f7jOBeacNcpdPJpTEfvemSkp5fp90Dd9sQn25/5pMBWl/09y8io2G28KtTTGKhvMIICjkYr9TSGS65dX69Bk1lMUHQG2iZGrMIBrVbg6mTima4dSUtLo6DAwtwv/8bN3YHJE3rywo7VROanIikSP/a7m7T80vMPqm/3BMjMyADAr46J77+bAMCzT/+ESS+TEpfE35si6NQ2pFL3FReXjl8dIwCnouJo2cr3smP27IkGikhOTuFU5Bm8vC9dd/la/y2oqNzAqLr5Im6Ez4uaLmNNlw9qvow1XT5QZbyJ8RJC7Lng/VeKonxVybG+iqIkAiiKkiiEuPQJXWk8gSxFUazn3perUy7mehqz5R2nVXbvoFJjzz3orwBat26t3Ij1ueb8toT84mIOx+9gVP/yv0/cfYsXd9/SlWORiYx/eDH1g734/O27kSTBzsQ4Zu/awJRm7enm5nPNapTtTYgnKtICAuS6OQT4lnZzdfFw45P1v7EjtRCbIojY9hkrhr/E3LFjGPDnN4zYugwnjY4j9zzGzrh9HLWmIVtTecJJj6/JDS8vL36rd38Fq1eNyjyDt/dtYFV2DACDvBrzYo+Rl5wvvMG1KTegKAo7DsdSx9OZEP/S7sleQLTRHqsqiiHQt6xr8YWsen4mvd78kOJGAczo050tp06TkJ3Lh3cMZnXECXo2CeHXP/aye2MsKNC3b1vW5JwBSSm5z6qQL+lISsxCuOho07IhXl6Vy7Tt5eXFwN6pxMdnMmFCP/T6y38s9ezlzIH9Sfj6utK4SfBlywX9u47KVUY9mb0ZUHVzOagy/ndqunxQ82Ws6fKBKmON5L/r5jRFUdpX1CiEWAeU9yX0uf+47hXpo+tpzJ4FLgzwDAQSqjC210VjN14VqWoYfVuF8ufuY3RpWu+yfQ8djcdqtXE8MgmzuRgHBz1z9m/jYFoSb+3ZxJ/9Ku/qWVUOJCbaXygwvUmXMu3HsmOIzklGVlwRgEUuBiDIzY1C2b7hkme1Xxvo15xj2QkEOXrgZ6qeUkNN3bztLxQYHdKqWmQAWLvzBLPnr0UAf330AI4mPQk5OUz+dTnB7u44WQX5KEwIvXypIICNzzzK1G8XMfPHFdgc7df6vfk1RWYbb7CR2xs1QmgEOqOOxqF+jCpowS9nDuJ6VsvChVu4555uSFLp0PqkpCw+m/s33bo2ZNDAliXX574/noPHE+jQMgiDoWo1+u69t/KlfwAcHAw8/dxtVRqjcnURVLsrk8rVQdXNKioqKjcJ10M3K4rSr8L1hUgWQvidO5X1A1KqMHUa4CaE0J47na2UPrqexuxuoKEQIgSIB8Zy3if6cqwB3rggscQA4JmrL2L18/LkQbw8eVCl+g4d0JLMrAIaNvDBwcGe7Ouh1l1IK8xnaouO11JMxrduzZrYIzjo9DzWuUeptsmbvmFHRiwOJh2exXm4Gwz8NWJ2SfvgoMb8FXuCW+vZDbKDZ5NpIzViYHD11SS9rX5zGrr5oJckGrhV3w6ek0mPIivoDVo0GvsG1cbTMURnZhKVkcHGKQ8R/tchtv8eTWxIOvUCL59cKj7z3GmuDIoEnEsarQC/HT1Jr3ub8dHk4QgheLfbMJ4N682Yge/zA+tJTcnl8VmDS8237JfdbPsnkh07o0oZsy7OJrp3UOsK1hrUJE43C6puVlFRUblZqH7d/AdwH/DWuf9/r+xARVEUIcQGYDSwpLLjr5sxqyiKVQjxMHblpwHmK4pyRAjxKrBHUZQ/hBAdgOWAOzBMCPGKoijNFEXJEEK8hl3pArz6b8KJ2oyDSc+0+24pda27fz3CR9kTf13LuKQd6ZEkOEUhoxCVm0QD5/PeBntSEzCY7BaTzUXir1tfKTV2bu8RpOTnER5zkjPpmUz9YTmSJDBotfRuVL9UX1lRGBu+iIMZCYxr2IqUvEK2J51hXp9RtPMOICk9CweTHheH/5ZkKSonjWxrAZ2862EutvLAr3+QZykiWiRj0OkIHzkVJ/21r5nXrVV9Fr02HlcnE0a9/XRzcKOGbI2Nob6HB3WcHJn/4zYUBVauPcSDk3pdcr490We5pX49ihMS8PN24fEe3fE1OjH16184nZSJrFVYU3ia7t/O46+778PFYECv1yIkgSIruLmXfa59eoexZdtJunVtdA2ewM1HTqGZOX9upVldX0Z1aVHd4qiolELVzSoqKioqV5G3gJ+FEJOxZ8K/A0AI0R54QFGUKefebwGaAE5CiLPAZEVR1mBPFrVECDEb2A98c7kFr+fJLIqirAJWXXTtxQte78Z+pFze2PnA/GsqoMolsSkybx/5nQxLHtNC+6GTtDhoDfgaz7sGH0o7S0GuHqVAwsktH3e9a7lzdfv1E2SdjE+EKxqjQC5SqOPiVKaf2VbM3rQ4kGS+P7UXW5EGgWBd3Cn27jjBe3v3ozFb2fDENOp4XpmLcpalkJHr5wHwfoeReCou7IyLQ5YVLB5FQCEroo4xtun1cT+u5+dR6r2byUSwkzuWIhuSJHHfnV34Z080g/tf2jDKLjAz9atfCXYxEGssIOpMFtsWLybq0cf4c9YEEjNzWBxxkHlH95JeWEBiXi4uBgOOjka+WfYwZ89m0LlzaJl5w8IC+OnHh67qPd/M/LbzCMt3HuGXHYcZ0LoRzqabp/6u6mZ8c6DqZhUVFZWbh+rUzYqipAN9y7m+B5hywfseF/c5dz0ae5b9SnNdjVmVG5vTeSmsiN+HAJxld5rRhte79MNJZ89EezY3nbFrF1JcoAc0aB31bLjtiVJznIhK4uHpCwiQFOLGQmKRGYObljm9B9O0TtmEZw5aPR91Hc7L+9eQW2zmgRadSMzPZ2LTdryw4WdAwWbScjop5YqNWa2Q0AqJYlnGQaunhZcvtzVtQlaRmd2FMRi1OoZWkPApLj6DHXtPM7B3GC7Opita/0LmHdhOZFYq7/Q8Hw/62+FjfLXbnlSunrsbk+7uzr1jOjP9me8I8Hfn5UdHlTuXSa/Fw8mEotgw6rTkWSxcGEfv5+7CjJ5dcXE14mww0NjzvHt1YKAHgYEe5cyqUlU6NwrC1cFIkwBvHA3X/nT/uqIasyoqKirXFUVR2Jy2FZtio5f3LUhCuvwgldpFLdPNqjGrUmmCHb3p5t2Y9KJcvtt/FEWWyLVY+G6w3ZgauvYTMMmQo0NoZNp4BZeMzbIUMDtiNdJ2GdliQ6NA81xfTjjkoSjgYqj4tGpocBiD6zWlWLahlzTERqfipjEy5+F7mPLeN9Tz8aRLsyt3eXXSGVg78CGyLIWEutgTQb09ZGClxs56eRkpabkcj0zkhceHAnA6KYP/ffkbYUG+vD1hcKUy7QJsiI3ky/g/EQJG/ZnKL8Ps7uKhXueNykbe9hjZ6c99x760LPalZdN50wEG9Sx7aqzXavnr6YnEJyazJiGOU1kZTGrbrlQfjSQxpW2FCesASMvIY/X6I/ToHEpQgEel70fFTiN/bza+Nq26xbgmqCezKioqtQGLzUZMZiYNPDzQSNVrPB7OOcIPsT8C4KZzpa17m2qVR6XmUdt0s2rMqlQaraTh3bb3IMsyjQ/PoRiZlt7na4JKCLQ6Bec6uewc+jy9lr5JkyUv81brgSxJPMbulASEB/Rq5o+Ts5EPHhpLfH4uOUVFNPOquAxVemEBQ35fgADuS63Pnz/uoknzQN6fN5FFz02/KvfmZXTCy1jWzfly1K/nRXJKDqH1z8s/5oUFWAwKCWczuX1XLAcaFqJI8FTn7jzQueLyjUU2mz0nuQLFsq3kevM6vuz63zRkBbwc7TGsdf082ZeSDTaZOt4Vn0jrtVqWHDnIlzFHQIEXb+lT5Xt877O17Ngbzc8r9pCZW4g2x8LMSX0YPq7zJcfFJ2aSnplPy7ByvRNVbnQUQK5lGlNFRaVWMmnZr+yNj2dokya8O7hySTqvFR76fze4FTz1qgeVykXUQt2sGrM3GAdTEtmx8zR+bi4M69G8WmSQJIlDEx8htSCPui7nDamttz3NC7uX8kDT3lhy88m0aJD18NTBtYwLbcfulARMjlq+/mxSyZi6zq7gfOn1TmalkWEuACAuKRMhBFmZ+eX2LTRbyMnOx9fXvdz28tifcYZ0cz59/ZpU+dTx9WdHkpNXiJvL+URJVkUBGzgm2Yium4es1wDw/d6ISxqzg+o34VBaP05mpzBv8NhSbR4XJbh6ceZIOm46QB1vN1qHXbqMk1FrTyQloEyZncrQMiyA7Xui0Om1KApYHbTs2HSixJiNjUklMSGLTl1CS55ffkERE2csQJEVXnh8CLd0ubKT8/afv05WvpEWARLfjZjOqv3H6dY4mKBK1rBVUVFRuZmZtOUTjuTH4yE58deA56tbnJuW0xmZWG0yUenVn98swOTPuy3fREbBQ1/57zoqKjcrqjF7A7E6+iSPL1uJw3EFvaQhLKQODQKrp4yMUaulrosbiqKw8PR6kosy+XlHArnZhaw4vJC5jUfg/5OOYjeFjGFWXm47lPGhnQhwqLwRsuDILmZvW0+dVGdGNG9C/RAvJoxpw85ekTRvE1Smv8ViZeiAt1B0OoYMDOPxJ4dfdo2UwhwmbVuAJCTeaXc7ff3ssbEHUs+ilTVkReXSvHldXF3s8bCFFgu9/vcZtmKFl+4fxLDOYaUMWQA3oSWnsBhXVxO204XkB4LQC+aNH3FZeZ7oWPmT0/Jci8tjfOvWNA6si5+TE476qtV/BbhrVCdGDG5DTm4h877fgsgpYtKU3gAUFlp48P5vAZjx2CAGDLKX6hEIJCGwKjI6rabKa/5LZp4JoQiOJluZvfxvwg+ewt9jP6uemnjFc6pcRWrX5q+KSo3jSG4ikhYy5LzqFuWmZv7okaw6cZLRzavnEOFi3PTlf5dKy8tn9JeLsco2fpo6jgA3l+ssmUqNoJbpZtWYvYGwyDKyAyDAKmTmbttJ4zAfOvkF0tLL77rKkpifi6/JkQRzBvNPhyMhyClwxdTAfmK6O/E0Wo0EOTKD4u0GToNz8aiV5eX96zAl6shJK2J7dizvDB8CQM/+zcrtn5VVgKLTAQpHDsVVOO+3u/awLSqGN4cNwmTQY9ToMNuK8TbYj4hXxBzmuUM/4RiuxynSQEiwN1/OtRtPB6ISkIsUBPDThv0M6xxWZv718x4peR0Tl05dfzc0mis36K4GUXHpPLl+FSPahTF7dOXigS/EwaTHwaQviQu2yTJL/9qHs6MRg1FHYYGF/7N33/FNVf0Dxz8nSdO9F20ZLXtT9l4CgoAgKqLiAEQc+IiPe/+Ux70nKu6FioCyZaPsvUehLWWWLlq6R5Lz+yMRWpou2iZpc96vV15N7j3n3m9uk55+7z33HO9iA2B5eOj5adY9ZGTm0jyq7C7kFQnxySMl243uDd1pERDEin3HaRZa8dy6im042305iuJobmrYlflndtHFt/QJXqXmtAoOplVw1f6HsYf9Z8+TnpsHSHadPKuSWSflbG2zSmbrkOubtSJ7RCJ/t9/J/pgsNhVsYd4uL4QQxEx8DL3ONr/OySvmsS7hBC46QVGRpGUzT/w8XOjWsQ0rM3YihKBb/6asSzxBxqE8NhxNYN6avdw8JLpK+9GYBEUhBnQZWm7obT2BLS4kxIfR17Xj0L5TPPfyzRgMxlJl8osMvPP7PwA8YVzKd3dM4NnW1/O/bevYcOYUHQMakpJvPsMtXSUSc2L2r15tImkUGUDKhWz+N6ni+2YiG11OvE4npqPRCCJCy786vWTXEX74ZxdPjhlEt2Y1c7/pwTNJaITg0Nnkq6pvNJlKDHqxcWccs+ZswGSSfPHerXi7uRJxxejHQYFeBAVW/T7k4rbc/1yJ1zf2aE+AZ/XmFHYGBqOJpMwswv18anfALvtOzK4oTu/JjjfxZEfrI9ortmWSJgTCroMk9mvWhBHtWlBgMDKkdTO7xaHYmZO1zSqZrUOEECxN/YPMXAhsLZFSkH9SRwYeV3Uv5NU6lGpOiIqMEoQgPt6D2PseA+DpAvPUUjes/Jrk0By0WnDf50aH5iWvHBuNJl589nfOnk3njbdvpUFY6QQv7q5nmLVvE7dP7oKfW+WmvXn08TFsWHuYh27/koZNAnnt01tKrNdrNbj56MjPNNCzqfle05e3riM1K493t21mesc+TG7dC5PJhG9rdzqYGhAZWbIr94KXJlUqlhLv5VQqU5/7mQIXE589O55OzctOUp/59S+klEz/9k+2vfJQlfdlTZ82TfjnZAIu3lX/yr82fy2/btzHEzcM5M6BXQCIbBiIRiPw8XKjUUQgnu62mXImyNvTJvup6x78/k+2xp3igWt68cCQ8gfqqg5nO/urKIpizb70WJ7e/zkNPYL5tOtj6DX2+fdar9Px5o32HaBKsT9na5vV5FQO6khyCmk5uaWW9wzoDGc9MWS7IIsENzbpzqqx96CzYTL7w3Xju5yZvAAAIABJREFUGRQZRd/wCFwQTO/W/dK6QFcv/PWepB0H4xk3Brdozd8fPcDFokKmfP47W4+fAuBCWjY7tsdzPjGDnTtOlLmvBzv1rXQi+6/TJ1LRaAWJZ9NLnZzSaDTseO4htr4ynQf6mP/JH9+yHUIIejaMuFTunrZ9uLlFZ1q1CsPVter3mV7JYDSS4W8iyxfumPU7adll398kzdP2ovPScMHKZ6Aq9p5JZPamHRxOTka4akjIyKjyNjbHnEQAW2JOXlrWJDyAFV9P56WXr+eXE/vIKSqsVpxKzTpz4SIaITiZVvXft6IoilI12y8cwShNnMlNIa3gor3DURSnoq7MOqClR2J4cukK3Fxc2PLQNPTF7rd8uOVkbvbN4OH/m0twoBfPvDwCXTUG2Kmq01kZPLdjKdeEt2R6hz5Wy0gpcdW4ILSC3qFN8fJ0563Ff3P0XAoZufksePROgoK9uePufsSdSaZ7/5rtCnPzHX3w8/ekRdtwrPX20Wg0eBeb1/apboN5qtvgGo3hSq2iQvEN8iAtPRckJGXkEOhlvQvuDw/fwuSFc0nKyOXaD75h53NXd3XWYDJxyw+/EunpRpZJwzUtmpJVUEByVjYh3pXv/vvepNEs3x3D+D4dSyzX6bRMXP0rhUYjqXk5PN110FXFqdS8r+65iS2xpxjeoUXt7UTidINMKIqiWDOu4QDO5qXQ3KshDdzUdDmKHTlh26yuzDqgAoMBIQQGoxFppd97eKgfw0Z3YNuFJD5ZuMmmsT2y+U/2Z53mg5g1XCzI5b/bFvD+oXUl4tRqNCydcgef3ziW2zubR9ydNLArYX7eTBrYFTB3me53Y1vmt45j2NovmLjwN97ZsqFGYtS76hh5Y1datLbtoFj/mv7uPPrc/i7vz/27xPL5j04k0N8DV52GVVtjyqzvotGS6VKIIchInq6oxLr0nDySMis3auXFvHykyfzcQ6djZUwsW0+e5rc9BzAajTyzcAUL9hyscDstw4OZMbof4QGlB5Jo5R2E62lJo4rmV3JQeflF3Pvcz9z5xPdkZFbvKrgtpOXkMmvLdmJSUsstF+7vw03d2+Pl5lpuueoQgJCyWg9FUZT6IMjVl5faT+GOyGvtes+sojhj26ySWQc0rn1bZt80liVT7sS1jEGdtsecRgjzT1saFmGeL9RP48mqxGOsPHuU2TGbOZtbsltNuI8P/aOaoLH8UR/dpQ2rnpvKmK6XR/9Nzs9GIskzFLHp3Ck+3bGdF9etKbXPiat/oPu894jLTKnFd1Zz9uw5BUZYvv5QieWBXl4MiGiCzDAx/+8DZdZ/YtEnSCRajWD2hHGcysxg7ck4krOyGfbe1wx//xsOn7M+kNOL21YS+c1bTF3zO4GeHrw2aih9Gzbi+g6taRcSQgNPL4a1as6kn+bzx85DPLtgJadSM/ji+39Yumo/J+LOM67fTF5+fE6l3uuw1MY02KVj3kfbKn+AHEj86VSOJaRwOjGdQ7Hn7R1OhWauXscHGzZz77w/7R2KmamaD0VRFEVRapaTtc1O3c3YYDKxJ/Us7QJC8dDZZgCbyhBC0Cey/GH2Z949nMVbDnFdjzY2isrs/vZ9mNa2FxqNhsTcizTxCqChpy8N3Ks+/HvP4Ma812ssO8+d46ukPQjgpwN7eWnQNZeS4KMZ59l4MhGAGRsXsGTkfTX5dqokr6iIWX9vo2mQP+Oiyx5deertfZm3Yg+P3lV6ztipo3uSk1/IiB6trdbdnbCVowV+gKS560V6Nm5M9HefYDCZeLBjDwwmE0IIMvPzrdb/I/YQUsK60wkAjO/cgYVFhTy14h80ueCpdyHMxxsfN1cwgcYImzYfY+6inZhMJtwT0jFl5LJl/g6KXh+Pi0v59wsHBXghTRJ/v7o5wnDrZqHcPCKa/AIDPTo2sXc4FeraMIJlR4/ROdw+vQ4URVEURVEciVMnsy/uWMH8+AN0Cgxn7rV32DucKokI8mXKiJ6MHPU2Ms/A/c+PZPzwLjbZ978jJ4d5+LLs2vsrLJ+cl018Zho9QxqX6H4jhGB4w9YMb9iacZHteG7dagZFRl1KZAGaegei10uKigRjompnsvJxXZ4np8DAqJu6M2Nm2VMcLNp/hO+27sZkMjGgRRSBZUwRM2VkT6aM7Gl1XeNQf96dPqbMfbQP64w/q8mUekZHhqARAnedCxcL82ns78d3U8aTU1BIr6bWT3b8r/cwXt2xnnvbXx6Ua0vCKUwmiQbzlC2FRQY+nTCWAXtmkZdXyNHUNNxcdYSF+pKXZyQtPRep11aYyAKMH9OVXl2bEhpcN7sZazUa/nPnIHuHUWl3dY1mfMd2uNloGq6K1MXuSIqiKIpSnzlb2+wY/xHZicFksvwsPR9pXRBzMhGyDQhg2V97bZbMluW1fcv4+uhufFx17LnhacA8GNSIpV+RayjiqehBTG7d3WrdtiGh/DFhIu9v30TLz99nYvto/q/fYPRaF47f+XStxp0jtOCuY9nv28pNZjs3CsdNp6NxgC++7m5V3o/RaOTrP7bSvX1jOrduZLWM3tWVhdc/yPGEZAb2bIFGCFZPmExSTjYtA4Ks1inuhqbtuaFpyaS/RXAgmj3xSAHf3HszwT5eFBmMcLYQXaERfTcdS+c8fKn8xnWHaN+pclcpl5zdx/bUOB4JHo4r1R/1WamYu5WTDAUFReh0WrRaG9454oSDTCiKUj9kFl3g0MWtdPLpiZ8+2N7hKErNccK22amT2f/1GM6oJm3oHBRu71AqJasoFw+tK1qNefTiDs0b0qRPBOcT0nnx8bKv9tnK4lOHAcgsMJRYrhXmf7BdNBWPujx7704KjUa+P7aD+MIk3ul9PcHutTu3qEthAUVo6Des/Cu/LUOC2PH0g1e9n+mvz2NHwlm+WLaNjZ89hLtr6a7tJpNk6pM/YjBJEpMvcse4nvi6uuHrWvXk+V8yzYh/vPn5kdgzdG4STk5uAdIocdFp6BAeWqJ8v8Fld6EuzihNvLhvPiBo4O7L9FZDAbjxoS9JTMlEpxUs+2Y63rU4CJECx2PP858ZP+Lr68H330zDzc1WJxWk003MrihK/fDjidfITs9jr2ElM1p9ZO9wFKUGOV/b7NQDQLlqdQwMb4qP/uoThZq2LeYUj321mOPnSo5WujFlPzdveoEHd71bYuTgr9+ZzNJ5jxIVUfFVu9r2ZvcxeLvquKZh1KVlQgj+GjWVOUNuo0NgKMNXzOLDQ+tJzbU+Iu9DXXvh6qIDVyObz59kycnDtR730gNvsPLAa7zw0V3V3tbmfw6Tnp5ldV2RwWg+WybAZOUG+4y8POIvXMDP1wOTyURQwOXpcwoMBj7fsp0VMcerFd/PZ3/jYl4efj4ePHHfULr3imJwn1ZXtS2t0DAsrD3+eg8GhFzeRlJqJgAGo+S9v2pmhGqlbCdPpgGC9PQccnIKbLpvIav3UBRFsQdPnS8aIfDQVX28D0VxdM7WNjv1lVlH9NLPK0lMzyK3oIjPpt94aXlCTiJaITidm4JEIrD/0O9bU+IxSUmfEPM8sQMatGTvDaW7BAe6eRDo5sHzu5ZwIjuND/Zt4sMDm0BC/G3PlSg7vWtPHuzSgye3LuVoejLXNmpZa/F/fXAn607H8Vq/4TT29iu37LaTp3lg7iL6N2vChzeOtlrmkTs/5uCcfxBe7qy6+EOp9bNfmMC7P66jT8coPN1LXpUtNBoZ9u13ZBcW8vb0a+kcGEZEg8sxLTx0lI82bcUkJZsevLfM+3XzC4o4nZhO8ybBl+5PvmFQB+Yd24k2NAm/5plk5uXi6+7Oc5vXkSeMJHw3j/kPTCz3/ZflrS4TSi37z10D+eiHvynwgnZXXPVVat7gQW3IySkgNNSHwMDKzx+sKIrirCZGPsVRl/20iuhg71AURakmlcw6mJv6duDHdbsZ17tkl9fxjQbj7eJJa+/GaIT9L6gfuZjIg1vN07d8328yHfwjKqwzuUUvTmZfYFOiZTqhMvJxIQTt88MgReAha2eUaZOUzNy2FoBvD+7k/3oPLbf8uuPx5BYVsiomrswy5+OTQAhkrvWrY1qtlicnWd+PyWQiz2BAIwR5JmOJRHbDyQQWxBykwK0IvYuu3P4UD73wG7Enk7nrxp5MmdCXnIJCft26jweGX8eSE//QsagZjQICy32v1TW4SwsGdW2Bh48rPldxb7FSNVqthrFj7HS/vB27MgkhAoDfgEggAbhFSplupdxfQC9go5TS+pkoRVEq5dbvf2V7xll8THr2/vc/dokh35DPlO0vY5BGvuz2Ir6uVT+J56LRE+YeiV6jboNR6iEn62asklkHM3V4T6YOvzwSrslkIreoEC9XN8ZG9CtV/udF2zkce57Hpw7F38d206P4uLihEQIJ+OrdK1WnmU8QPw68i5tWfsOetESaeftbLZeVV8B7i/9BIwTtGocyaXC3Gozc7KeDO6EI0MKmUyegd8n1789Zz4G4RF65fyThwb5M7dWNnMIiBjQte2Ckz5Y8xYsPfkObns1Jysnk88NbmdFhAH5uFSd0bi4uLL7jDhIy0hkUFVVi3UOrfqEAAyatHqNGw7bE04xsar1rcHZOPkIIlmw5zBdbdzGgazNizpwmftN+Xh8zjOuLnSRZcf/drDwYy629OlUYX2VIKbn191/ZeeYsTbaa+PnDaSqZrc8kCPvOR/c0sEZK+YYQ4mnL66eslHsb8ADsN6+XotQTu1PPgQtkagrtFsNrR74lpTAPgGcOfMysbs/YLRZFcTj2b5ttTiWzDq7H55+TaspjUotoXho+pMS6rJx8Zs3ZYE76WoRz+/U1n/SVJcLDn1XDHkECAa5VG6Bp/rVTrC4/mZXCM3t/5doGnRjasQWHTycxsG3TGoi2tB7hjREGDRjguqYluzLn5BXy68rdCCFYtT2Gu0f1IMjLk/+NLPvqrZSSJO1FNJEBLFx5mG+P7yetv4mf4nZx/NbKNbRRAf5EBZRM8DedOka2txEQ+OZKOoU0ol9EZJnb+OSVWzkUc44ZPy0BIdh99CyeXoABnv95FdHNImgUYt5HuL8vk/p3tbqdnNwCziRl0DIypMR0SgAHY87xykfLyCso5K6bejFueGc+W70Vo8nE9uRzSBfIDhIUFhRV6n0rdZh9z/6OBQZZnn8PrMdKMiulXCOEGHTlckVRqu6+6O58sXcH0QEN7BZD94B2bE2LQQKd/Mzt94JT6zialcDjrSei19ZOjy5FqTPUlVnFkaQZ80DA1nOnS63z8nDlml4tiTmRTN+utZP0lcf/iiTWKE08vnMep3PS+bTnbYS6V21ghWnbvyDblMmXCafZNOmtmgy1lNaBoRy9fwY5hQUEepTsouTprmfiiK4ciEukf6dmzHjld3RaLa89dj2ueusjxf5xZgufHF+C7CNw2eeLMJj/kJiq8QclNjWNZgGhYAI0cEPTdrw08Ppy6wT5ezGwV0uuPdSSDYdO8NjY/hw+kcCpM0dAwi0f/cyWVx6qcN+Tn/mJpNQsHry9PxNGlUx45yzczpnzGQB889sW3MI9+Hz1VjRCcE+/aE5mpTPt/m40iVTTHSgVChJC7Cz2eraUcnYl64ZKKRMBpJSJQoiQmg9PUZTiHhvSn8eG9LdrDNdHDKCVdxOKTAba+TVjf/pxPotfCMC5vBQ+6fakXeNzVkczY8g15tLZL7rUSXBFqU0qmXVwbw24lsVHjvLK8GGXlsVlprL2XCw3Rnbgf4+Un9zYUlJeJqvOHkErBBuSj3NzE+tX/crS2D2EwzmZCFn2TaG5eYXMWbSD4KbujOraCV0lpvspi5vOBTed9eT04VsHArB17wn2HjkLwJG4JKLbNLRaPs9YiEDg5u3CCy+OQ4breP3QOl7pPqJU2dOxSZhMJpq0DLO6LYPJxLDPvuFMRiZ+nm4cmv4U2YX5BHl6V/q97f5xLx5GOBq6h+G39OaHTUfQFEBeehHZ+QV4WabLOZeUgcFgonFEQMn3k1+EEJCdV4DJJJm/Yg9uri6MHtye22/owYnTaRQZjEwe34d9585jAigwsfq3A2g0GhpfG1A6KKX+qf7J31QpZZldSoQQqwFrl4Ces7JMURQn0dKncnOhK7ZxJvcM78S8jxCCqVFT6BnY3d4hOTfnujCrkllHN75TB8Z3Kjna3tR/5nI2N4N9aWf5pO9NdoqstPWnE8jJdMPb1YWhYW2qXP/LPtM4nHGWKK+yr+jNXbKLr8+vxuhVwOa9R3izy9WNwltcrqGQF3YvplNAQ+5q3rPEus5tG9Kva1N0Oi3tWlhPPgFuazKAZl5hNPUKJcTNPHjT4sZRpcqdiU/modHvgpR8sPC/RLUuPcfxB+s3cTYjC4HgYk4Bbi4uuLlUfu7Q2GMJCMvtTMv/iqfpwJYY3EGrAYMrlxL48ymZ3PnId0gkn716O62aXh55+JvXJ3LsRDI9o6PYceAks+ZsQEpJy8gQ2rcM55eP77lUtkVyKpviT9LGO5Bdq+LMg1mpLsZOQdRyVyYpZZl9+4UQSUKIMMtV2TAguVaDURTFIXX0b8H05uOIyTzJ462q/z+BUnU6cTmd0GtsNde5UpbabpsdjUpm66AOAQ04nZNOdGDFIwjbSlLeRbaknMBFo0Ujtfjpr24wqrZ+5b+n9q3CkekmhBBcKLw8V+3Z3BQC9D6466o+MuGLe5aw+PRhFp8+xLXhrWng4XtpnavehVcfHVPhNjRCQ6+gSszX+u/fFyHKPHPWtsHlpPL164dZL1SO5i0jkXqQRrh+ZHPWHY1HGMGkg6WP3YVOZ77ybTSaRwgQCAyGkqMFBAd4ExxgvhLcJCIAvYsWvYuWsJDSXcdbhgSxdPrdAOzuehoXnYbIiNodMVlxEPZtMBcBdwNvWH4utGcwiqLYzw0NB9o7BKfWwL0BL7V7njxjPi28m9s7HEUls4qj+7D3OF7tNpKstHz+2XSMPr2ao9Pab7oeKSW3bPiUPEMRo5p1YHrb2mtUunVswoqWT7El7Ri9glsAsPr8Tt6N+ZVAvQ8/9nqhyvdqdPSPYNGpg+iEBp9Kjsx8tRo2C+HjJY8hy+lmPLJtS7o2CkerEeh15q/o3yfjmfrrAqRRoHEXPNKtDw/271Xmflate47f/t5LkcFEv0a+7ElMp3V4ME2DLyeZEQ38+PLNieTnF7H6zz1sdj/Evf8pfSGsQZAPy7+ajhBUeGy7tGtUmcOg1AcS8/3c9vMGMFcIcQ9wChgPIIToBtwvpZxqeb0BaA14CSHOAPdIKVfYKWZFUZR6qaGH9duwFBuzf9tscyqZrYOEEHi5uHLbf76gsMjI3bf3ZuKE3hVXrEUuGh15oog+4Q1p7mv9qlyh0UChyYCXS/Wma/F182BERPSl1xcKs9AIDZmGXCQSUdYEtsUcSk9k6pLPyXE1cmNIV/65bgY+enc8dHoSMtOZH3+QG5u2I8qnevd+Gk0mXl20jot5+fzvpmvx0LvQuHlohfX83N0Y/MPXpOXm8tON43li9XI0+RoM3hKDVvLt3t3lJrMHE87zwfwNCAF3DW5HelIum9NOsvZgLNe0v3zWtGnjYObN2cLiP3cD0KptOAOGtC35HqSRY9knifKMwE2r5uRTHIOUMg0YYmX5TmBqsdf2Ha1GURSHlF6YwXv7PqaRRyQPtJhs73AqtPTsTj45tpzrw7vxYKvr7B2OojgM+13OU6rN29sNk0ni51u1qXFqUlZhPh3/eJNTGYVc36AXxiI9J7LPM2nbq7x2+EekpatDZmEeHf94k04L3mHJqf01GsNNDQfwVOvbmdX1UTSi4o90jqGQCeu/JVmrJ6vIg3kpe2jg4YuHzjyc/383LuGT/Zt5ZMOSSsdQUFDEsiV7WbP1KANe/oL/fLcIKSUxiSks2HmQtYfi2HQsAYB8g4GknKxyt5dnKCI5KxtpkiRkZPBMvwGY9BKRJ/GRep4dUP7V70bBfvh6uuGud2HNjuO45ACuhUxb/Qczls4rUbZFq8tXiJtElb5f+cu4+Ty7/yP+7+Csyh0MxSkIJEJW76EoimIvi84s5aIhloOZqzmaGWfvcCr0zpGFZBTl8OPJv+0diuLAnLFtVldm6yghBF9/OomUtGyaNLp8JTQnr5Dpb8ylaUQQD95Y+/POxlxMId9UhAC+j9mFDhdGN21EYt4FzuWlMaPlzXjq3Dmfl0mR0fwF2Z6awOjGHau977Un4piy4g+EgC2330+DK6bYKYuLRouv3h1pyCC30BXXQkOJ9f3CmrAn9Rx9w8oeLXHO/G0cPpbIS0+MRqfT8cO3G1gwbwdCK8jopGf9oTgKDEaahwbSs1ljMvPy6d60ESYpGbrga87nZPHJ4DGMiGxpdfsPL1yCwVWiKZRc37wlbno9457pYLWsNVoXDcNGtSE6JIxv56xHp9WQ7a7DJGBx7Ek+LFa2U9dIfl/2KDqtBi/v0lfNC00GBIJCk6HUun8lnr3A/Td/ilar4dsl/8XX7+rumf7X39uPMfPT5fTqFMmrj46t1raUWlQHGz1FURSAJl5RxOdtxyR1hLk5/sxe0f5N2ZoWQwPLIJOKUiYna5tVMluHeXi40sSjZLfPx95bwIEzyRw4m8yw7o0JCgqq1Ri6BTdidER7ErIvcD4zl7TCPEZEROOVnksbnyZ46sz3oLb0DWVGhz7EZqbwTMfS09WU559dsTz/yVIGdWvBzOkjLy3/+eA+wPyd/SsuhknR5U8FdPZcOvkFRTSLCuHFkBHMmruJO4ZHM35oyaT/sc4DeLhTX1zKmPbnyLFzfPGV+czoAylz+PK9u2jYKACj0URkZDBduzWmc2Q4bi7mr9cXk8ddqltkMpKSm4NGCE5nXSy97fRkdiad4UDyeXABkx7yjSaq2jF79o4dzN6xEyEEf90znt92xfDTxr1oCiWFAaX/yPmVk3w+0Hw8fYI60dq79OjM/1qzZD8FeeYRjDetOczIm8zH1Gg0ceJkKpGNA9HpKj+N0iuf/UV+dhHrNx+HRytdTbE1J2swFUWpPwaF9GGAV1+8dZ6466p3+5MtvN91MvmGQtwsvcgUpUxO1jarZLYOys4v4PXlfxMV5M/U/iXn8urUqiE74s8hjBDsV7krldX1fm9zslZoNJJvLMJH78bQiNalyj3c9pqr2v7mvScoMhjZuCe+xPK3hwxn2K/f4ePiyp0dosuobZaalsWUB79FSnj3tVv4dfkeElMy+W31gVLJLFBmIgvg4nL5a+Pman5+3ahoevRqjq+ve7lJm4tGyx/X38HRCylc36z0MZqwYg55hiLGdmjD+oMn6RYegZ+7uZGduuwPLuTl8usNt6LXlp8Y9mzYiNk7dtI9IgKNVvDzhn0IKXDJgs8mjSu3bumYXegW0K7U8vunfMWJ2GT++/Qoxk3sxdpl+3DR6xg6qtOlMm9/+Ber1x2mT8/mzHz+hkrvc1CPFixbcwhPb3WPbmWcz84i0N0Dlwo+FzXKCQeZUBSlfglxq1sj76tEVqmQE7bNKpm1k3cP/MHG9NWYinxZOOS1SteTxvOcPzOTCxfcWLinMdd3akOoz+Wk9YGb+zFmQHt8vFwpyM2pjdDLpNdqK0yyrsa9N/XBRaelf9dmJZYHeHiya8r0Sm2j+EkqKeGh8f2ZNX8jk0b3qHI8zaNCeOGZ0Rw9fp6H7rmcoAcGVu7kQXPfQOZvP0iEizc9IxuXWNfUJ4ADaefp1bAJ7wwafWn5L4f2sSY2DhA8vmY5H107mvL0i2zCkUdmoBGCc0lJ4A5GoyTS14/BTZtW/s2WI+7oeSQw58dNDBvegW8WzihV5mJmHkIILl7MrdK2n3vgOp57QA1wURk/7tvDzH/W0TG0AfNvud3e4SiKotSojNx8fN1dqzxTgaIozsGmyawQYgTwIaAFvpJSvnHFelfgB6ArkAZMkFImCCEigSNAjKXoVinl/baKuzZsTN6N1s2ERpNRpXoy+xOivNbw9rU6ZqyZSZBX6e6hESHm+ylsncxWhclk4q7p35KSnMl7r02gXavwMssG+nny2N1Xd1X3X8FB3nz96STy8opoYRlN+Ovnb7vq7Q0d0JahA9qWW2Zl/HEeWL6YQHcPtk6ahkZjHpzqxi9+4kRCGr+u38uhN0v2oZ034g4yC/MJcCv5e+0U0gAsozT3bVQyAS6LxtLwv7ZyHTkh5tN0t/YpfQV715mz/LxnP/f16k6r4Mp3Sx8yqgPrVh0mMS2Lz75Yw0MPlp4T9/knRrNj9wm6RJd9/7FSPScyMtAIDaczS3dbr211caAIpTTVNiuO6q2lf/PDpt0Ma9eC9yeWfxJXURQze7bNQogA4DcgEkgAbpFSplsp9xfQC9gopRxdbPl3wEDg339qJkkp95a3T5sls0IILfApMAw4A+wQQiySUh4uVuweIF1K2VwIcSvwJjDBsi5OSll+X9I65PF2t/PmwR9o79OqUuVnH19FemE2jzcdgshfiof3cL6edFMtR1l7Tp1L53RCGgBz5m/n1WdLd0E1mEzsSTtNG78GeLlUv7tpw4jqTbNTVb8dPoBRSpJzc0jMySbC24eLufnk5RWWWUen0ZRKZAHaBoeyd9qDGKSJQPfKj16deDGT2OQLl77peUVFpco8uWwlJ9MzOJ+VxZzbb6n0tp9+biwnzl4gISGV7OwCq2U8PV0Z1L90d2ql5jzRpx+tAgPpHmGHOf5UMlvnqbZZcWRbY08hJexMOGvvUJQaYDKZeGLfh5zMTebldlNp59es4kpK1dm3bX4aWCOlfEMI8bTl9VNWyr0NeAD3WVn3hJRynpXlVtnyymwPIFZKGQ8ghPgVGAsUbzDHAi9Zns8DPhH1tF9J3wZtWNTg9UqV3ZZ6nO8TVgEQ4Dqce5vvqc3QbKJxuD8tWoWSeP4ik261Pkfu6/tX8tuJ3bT0CWHBkKlWy3wbu55Pjq2mkacffw583GqZn4/vYlNSAm/0rwzbAAAgAElEQVT0GIWP3naDPDzfdzDH0tJoHxJKhLcPAPd9tYD0lFyahvrz8i3XlllXSonk8tVVAF8390vPC4wGPti9iTBPb+5q28XqNrYeSWDDkTiQAt1FQYCHO/f16VmiTFJaFg0z3bhQpOPG9qXvi63IW2/cysGDp+nWtfTgUJnpOTw/4SMaNAni2S/vrfK2lcpxd3FhQvvqjw5eddLeDaZSM1TbrDisV8cP5/sNu7i5R+VH81ccV0z2SfZfPAnArNj5fNrtSTtHVB/ZvW0eCwyyPP8eWI+VZFZKuUYIMejK5VfDlslsBHC62OszQM+yykgpDUKIi8C/d+dHCSH2AJnA81LKDVfuQAgxDZgGEB4eTmpqas2+AzvxydfQyOiLRNJU+lX6fV28aPtuh1XxxvOjLj239p7c84xE4kGwUVfme14du4uGJi9kloHFB7bz0ZGNAPwv+jqaBwSTnH6Bb3aaPyr/y1/EU9HV665cFd7AH6PMgy39G3+YXofI0KLNzMW70Gj1fRlMJp5ZvpKU7FxeHn4NTfxKD8O/8dxJ1sYcxCQlXb38CfXwLrH+8MnzvDNvHdJFQyNvN3SAvkBTan9f/bGZnMR0unh5Mig89Kq+M61aBpCVdZGsK6bO/f2TlWTn5xAbk8Oujftp0rrsruS1zdG/C4piR6ptvkJd+Hvh6DHWVHzBeg2PDzEPdFnTnxtnOYa1qaox+hrdiTIFUWAycK1XV5v8LagLx9EBBQkhdhZ7PVtKObuSdUOllIkAUspEIcTVzHv1qhDiRWAN8LSU0nr3PwtbJrPWzuJeeeqgrDKJQGMpZZoQoivwpxCinZQys0RB84GeDRAdHS1re1oaWwkiiC9D/ku+yUCwm0/V6tbhYzAjYAS9U9rQwT+8zCuqo1v14r2jy2nmFcwT+9dgdDXPhTpt52L23/4kRik5KwooMBoZFxZe6niYpCxx9bO2TR7Ul/+u+g2NEOTkC1pY+f2k5uSwOTkNrRDE5uTRtXnzUmU667WkHNhCiKcnzcIb4aYr+VWO33OchJxC8wk6LZxKL+S+0b1Kvf/ObZuzZEscXTu0qPHPSs9B0Sz+cgt6Vx1tolvi4WXfqQ/q8nfBIUnsffZXqRmqbbZCxVh9jh4fOH6Mjh4fVD3G2aHP11IkZasLx7HG1EzbnCqlLD3Vh4UQYjXQwMqq56q7Y+AZ4Dygx9xuPAXMLK+CLZPZM0CjYq8bAufKKHNGCKEDfIELUkoJFABIKXcJIeKAlsBOnIS33gPviovVKy4aLX1Dyx9597aovtwW1ReAz/du5J2YdQC81ts8Eq5WCPaPf4z0grxSVy93JJ9m4ppfaOcfyoLhd9lkpMSOrSN4+uERGAwmOrUreY9jodHILb/9zL68RNqGhjKyeRtuaNfG6naa+Pize+JDVtfN23WQHw8eJsAkyb+YzydP3kpkowirZUf2bcvIvuUPZHW1ugxqy7KzH9fKthUH4WTD/9dTqm12QhcL8zifk00r/2B7h+KQ9qWd5UJBHoPCmqlRlJW6p5bbZinl0LLWCSGShBBhlquyYUByFbedaHlaIIT4FrB+D2ExtkxmdwAthBBRwFngVuDKeSQWAXcDW4CbgbVSSimECMbccBqFEE2BFkA89chfiauIyz7BnZG34ePibGlrzbg/uh/3R/crtVyv1ZVKZAF2p55FSsmBC4mkZOXgrXfF3c2l1uMcNrB08ng+K4sR3//ARddspCvE5KewtM8kvli/jY//2kwDf29WP2X9vuErzVy2lkKTEY9wN3Z/8jhJySnc99l8XFy0fDRlzKVRla909OAZCgoMdOoaeWlZWkoWR/afpkf/luj1Vf9zsfnoSRbvPMwDw3vTOLh0d2mlblOjGdcLqm12Mml52fRd9h4IyYDA1sweOIGMwmy+iV/GwJBouga0tHeINU5KSWZRLr76igdQPJF1gdvX/YRA8HqPUVzfuOrjSSiKPdm5bf63vXjD8nNhVSoXS4QFcANwsKI6NktmLffZPASswDz8/zdSykNCiJnATinlIuBr4EchRCxwAXOjCjAAmCmEMABG4H4p5QVbxV7b8gx5zDk1F4Eg0rMxo8JH2DukOiG9MJMPjv1EU8+G3B01psr172jRhVxDISEmT8bP+Aa9Xsu8d6fg6+VeceWrJKXkfHImIUHeaLWXk8pzWVkUGo3oslzAZGJaG/M9Qt/9swuJJDE9q6xNltKvWRPWHo9nUAvzoEwr9sawff8pAP7ocIibepYeSOPsqTSeuO97EPDGp3fSrpN5+p8n7vmalPMXGTGuK9Ofqfy0CCaTiY/nbWDu1v1kSQOFBiPvTlLTKtQ7Kpmt81Tb7HyOZ6aBMH9396WfAeC/ez7gQlEif6f+w/w+H6DT2HTmxlr31N4f2JRylNsjBzC9ZflzmP9765FEohXWT/4qikOzb9v8BjBXCHEPcAoYDyCE6Ia5jZhqeb0BaA14CSHOAPdIKVcAP1tOlApgL1DhdG82/WslpVwGLLti2YvFnudjedNXlJkPzK/1AO3ETetGN/8unMhJINrPHqOS1k3/pOxiX3oMe9KPckPEYHz1Vbui7emip7V3KI//vRxtYyN+pyTZuQW1mszOfGcJazYcJcDfkz+/f/DS8s5hYbw2zNxrY2ybNpe6NT0yvB+vLFxL0xB/q9v776plLIs7xifDRzMsynxv7azbx5Yo06FJAzRaAQK6N2tkbTO4urmg0QpMJom7x+VpkLy83UlOvIiPX+npggBmz9nAus3HePGRkbRpHnZp+cfzNvDLol1IwKOBCyO7VG4KKkVRbE+1zc6lV2gTOvtEciwrmVl9zNOxuYh//x0UaKh/Cdy+jJOYkOy8EFth2SZe/swbMon0wjx6h6g50hWlKqSUacAQK8t3AlOLve5fRv0qj9Rav0691VFCCB5u+QAApxLT+XTRBkYPaEeTcNvOi1odmUU5XPfXe+QbJQuG3EsT77CKK1VTr8COrE3aTqRnOD4uXle1jbnHD5BtLMSvqRvvjB9LREjtdoWNiTsPwIX0HKSUl5JWIQQ3tC3d/XhCz45M6Hn5BMfcpev55tFf6XxbNK+/dD+rTsRRaDSy+kT8pWT2So0C/dj1ySPlxhUU4sO3Cx7GYDAS0sD30vK3vprMudMXiGoRarXeL4t2UlRkZOmagyWS2Uah/khACFj47CRCA1TX+XpHAiZ1ZVZR6qJfht5d4vWHXR5l3un19ApqV+atKHXZ650msuTsLiZGDqhU+Tb+1ts8RXF4Ttg2q2TWwbz02XIOx59n1+HTfDPzytuWHNfO1KMk5ZqTspXndnNvq1HlljeYTEz/dRGn0y/y9R03EuZb9WQn1C2QD7tYm4e58p7pPohcQxGF0oBrA321tlUZb714M29/uoJrB7W9qkEl5n66HBIL2PXlTngJPr9uDCvjY3mo25UzaVRdQFDpEwJu7nqatrQ2YJ3Zw5MGs37rMW4Z3bXE8hsHdqRD0zD8vN0J9ru6Ew2Ko7P7XHaKotQQd52eO6PKnvu8rusS0IwuAc1KLNuZepJnNs+mX0gzPu41wU6RKUpNc762uf6dfqvjenWMLPGzrhgQGs2Qhv50C/HktqaDKyx/PjOLjXEJnE7PYFPcSRtEaF1L/yBSCrPZk3aOmTvWVHt7JpOJ799dxpo/rA/m2TDcnw9fvZVRw66uO/m0Z25G186HYc+auyT3a9SEmQOHEOJZvYTxtmlfcM2oN9m0I65K9caNiObDl26hcUTpXgQtGgWrRLa+k7J6D0VRFDvZkBRLvrGI1YlHKTIZ7R2OotQcJ2ub1ZVZBzPt5j5MvbE3Gk3dGgpep9HyRV/rU8VYE+Hrw7R+PTiZls7wti1qMbKK3dmqM58c2MIdLaOrva1v3ljC/G82ANCiQ0MaNy/7qubVuLZ/d67d0r3K9QoNBhbtPsKQts3w9yp5/2tS6kVSDqagAV59exHL5v7X6jZe/Gs+P8SfAAFBpgJ2Tq+J6cSUOq0ONnqKoigAN0V2JkHkMCysDS4arb3DUZSa42Rts0pmHVBdS2SvhhCCGYP72DsMACa36cbkNmXODV0lweGWgZqEwMPLjfhTqYSF+ODuVvtdmMtzy8dziD2Xxtvu/7Bt5vQS6wL9PDH6aNHkGhk8qOw5ZxfHHgGdGwCZqIZfURRFqbsaewbw84Ap9g5DUZRqUsmsotSgsZP606pTY/yDvVi7I5ZZP/1Dwwb+/PTh5EpvY8G+Q8zdd4CXhw+hVWjNTGhfUGQAwGgsPZO2Tqdj3V/PVLiNPQ89T9NP30IieKJj9e/RVeo4JxxkQlEURVEcmhO2zSqZVZQa1rqzeSj/jL8PoxGCrOz8KtV/atUKTMD98xey7kHzKOYpSRf59at/6DukLV16NSt/A1b89tDt/LBpN2O7Vm/y9/jpT5a57mhMIi+++ifdu0bxxAw1V3L9J0GWPjmiKIqiVF3xGQ4U5eo5X9uskllFqSVTJvShVbNQWjUz3ze7fdNBss8+gkkKAqM+onOPNlbrBbt6klSQQ69Gl+eE/XHWWlYt2sP65QeYv/HZKsfi4arnoWFX3617zYYj+Pp40K1T2XPuLV26h/RjySw/l8HjDw+3SaNsNBrRalWXZ7txsvtyFEVRasPRjCRuWfMDga4eLLr2Hrz1bvYOSanLnKxtVqMZK0ot0em0DOzVkgbBPgAs/PVz+vQ6Q7/ep5n7w2dW6xhMJpKLcgAodLl8Zq33oNboXV3oO8R6AlwWk8nElPkLaPnJ+3y7fddVvY/5S3fzfx8s5ZGZv3MsPqnMcuf2nEGXWUADo6hWIrtx0zGefnYu8SeSyy038JZ3GTTuPWZ+vvyq96UoiqIo9rYl6SSFRgNJednEZqbZOxxFqVPUlVk7em3uGv5csg+fEA9Wv3O/vcNRaln/Ibdy8NA+TCbBiDF3WC1jMpnAIAk6YOJIXDz5g4twc3Wh9+A2LNz6QpX3mW8wkCuLAPg7Lp7JPbpWUOPq9R7cmsO7Ehg4vEO1tvP+B3+RnpGLzkXLKy/fZLWM0WjElG9O9nfsTqjW/pSr5IT35SiKotSGcZEd2JF6ijB3HzoFhts7HKUuc8K2WSWzdrRi4xGECbLO59bYNo0mE9Oen8OJMxd494nrCAoKqrFtK9Uz4oZ+wIZyy+h1Ol7rfg2ztqyhIKeAmNgkOrVrCJgT3dt/nEtSZg6/3H0LDXy8K9ynh17PhJbtWZuYyBujru4+1ptGdcHPxx0/Xw9aNg0ts9zNUwYw7u5+aLXV6/Ax7oauLFq8hzGjO5dZRqvVMnxkB7bvOcGbT42r1v6UanCyrkyKoii1wc/VnVl9b7Z3GEp94WRts0pm7eiJO6/hta9XEd2hYY1tMye3kJgTyWg0gvjTqXTuYN85XK9Gen4ed6+Yh5dezzfDbsJN51wf07F9O3Bszzm0Wg3tWoVdWr791Bl2n0kE4KN/tvDa6Gsrtb1xHdtx7zUDqxXTkP6V695c3UQW4I6JfbljYt8Kyz1/vxpkyu6crMFUFEVRFIfnZG2zc2UJDmZ097aM7l72vJ7FnUpK5veVG7hleH8ahYSUWc7Hy42X/jOS2JMp9IpuWlOhXmIymViz4zgdmofRINCnxrcPsP38GY5cSEYiOZ6RSoegBrWyH0flqtfx/KOjSi2PbhiOv7sb2YWF3NqlY4Xb2XX6LHd9PJdIHzdm3j2Gro0iaiNcxWlJp2swFUVRFMWxOV/brJLZOmLGo1+SG1fEppUxLPix/NFsh/ZpzdA+rUlNTa3xOF74chmLDx9DJwU7P5iBRlPzY4gNaBjJyKhWeOv1tA0oO3F3Nm46HdsefaDS5f86FGP+gyYlKw7HqGRWURRFURRFqVdUMltH+IZ6kBt7Ed8Qd7vGkZ1XCICpFmddcde58OGg0bW3AxtKzc1h9IovaesfyjeDbrPpvp8YMpCNMSdp4Kbj8WLdjLOKClh37jh9Q6MIdPO0aUxKPSIBk3PNZacoiqIoDs0J22aVzNYRX739MAdPJNA+KtKucbw9fQzfLdlO7/aRtXJVtr657q8vSMku5HzWSXYkn6J7SOMK67x3YD3fHdvBzK4juCHy6kcG1rtoWT5jMqmpqehdLs/F+uS2xaxPjKWNXygLhk2+tPzRX5agEfDOrfXjRIJiA07WlUlRFEVRHJ6Ttc0qma0jdFot0c2b2TsM9C46po3rY+8w6ozG3v6kZCeBkDT28rVaRkrJm9s2kJyXzSv9hvJb3F5yigp5ZefqaiWzV8rKL2DQa7MpKDRgbAXBDbwurXttyVqWHT4GQNCSdTw9enCN7Vepx5yswVQURVEUh+dkbbNKZhWHtTjuCK/sWMOUNj24r1MPe4dzVeYPm8zyU4dp5x9KqIf1ZDY2I42vDuxEg2BgoyiKcs29RNLy8zAajWi1Wqv1qupwYjL5eQYARnq3452+lweZCvW+PM1PqG/FU/7Yy+H483y3eBt3jepB++ZhFVdQapF0urnsFEVRFMWxOV/brJJZxWG9sG0FF2Ueb+9fV2eTWYDrGpc/YnUTH396hjUkJTeX3uGNuTGqI1/HbsNN6msskQXoGdWIwZ2bcS49k5dGDkVXrJv4PQO7E+TtgVYIRneu3Ajb9jD9rXnk5BWy/fAp1n/xH3uHoyiKoiiKotiRSmYVhzUusj3fx+1kQHDNTzHkSPRaLT+PvuXS6+d7X8Pzva+plX19cvuYMteN7dKuVvZZkyKCfTl2KoWwWpoWSqkCCVI61yATiqIoiuLQnLBtVsms4rD+r89Q/q/PUHuHYRcGk4kfj+yhkbcvQxs3t3c4DuOHlydyOimDRqF+9g5FAafryqQoiqIoDs/J2mY1HK2iOKCFcYd5fcd67lvzJ0m52fYOp9J+/GkTt94+i927E2pl+xqNhiZhAWokbUdhmcf4qh+KoiiKotQsJ2ub1X+EiuKAWvkHAxDq4YWv3s3O0VTevAU7SE7JZPHSvfYORVEURVEURannVDdjRbERKSXrVh1Cq9UwcEj5gyy1DwrlwJ0z0AkNsWlprD86j80nU3h+2PW0CO1so4ir7pGHh/PXiv3cdUdfe4ei1DYpnW5idkVRFEVxaE7YNqtkVlFs5ND+07z7+hKQ0CDcj1Ztwsst76rVcS4zi3FzfkFnyCfX4MUXm5bxzo2Om8wOHtSGwYPa2DsMxVbqYHckRVEURanXnKxtVt2MFcVGQkJ90Wo1uOi1BAVbn8v1s5Vb6PXCpyzedRgAF60GjRB0CE4mwiuXCZ172TJkRSmXNJmq9VAURVEUpWY5W9usrswqio2ENPBl3tJHAdC7Wv/q/bnrMNn5hSzadYTru7Yl2NOTVZMnkV9kICrA35bhlvLX/mPMXreNx64bQN+WTewai+II6uZAEYqiKIpSfzlf26yuzCqKDelddWUmsgCvThjOqM6teWrMwEvLwry97Z7IAny0chMx51OZtWaLvUNRFEVRFEVRFHVlVlEcRb7BQOfIcLo1bWjvUKx6+Nq+zF63jQeGqK7OCiBxurnsFEVRFMWhOWHbrJJZRXEAB1OSuGn+LwS5e7Bm4mTcdC72DqmUER1bMqJjS3uHoTgSWffurVEURVGUes3J2maVzCo2JaVEStBohL1DcSjHLqQBkJSbQ2ZBoUMms4pSnASkk539VRRFURRH5oxts03vmRVCjBBCxAghYoUQT1tZ7yqE+M2yfpsQIrLYumcsy2OEEMNtGbdSMwoKirj7llncMOwtTiak2jschzKmRWue7TOQL64bQ4inp73DUZSKSWk++1udRzUIIQKEEKuEEMctP0vdWC6EiBZCbBFCHBJC7BdCTKjWTusp1TYriqLUE3W8bRZCRFnameOWdkdf0T5tlswKIbTAp8B1QFvgNiFE2yuK3QOkSymbA+8Db1rqtgVuBdoBI4BZlu0pdUjGhRxSki5iNErijp2vcv3lJ2Jo/e173Lt6fi1EZ186jYa7O3ZmSGQze4eiKHXF08AaKWULYI3l9ZVygbuklP+2HR8IIfxsGKPDU22zoiiKUoOq2za/CbxvqZ+Ouf0ply2vzPYAYqWU8VLKQuBXYOwVZcYC31uezwOGCCGEZfmvUsoCKeUJINayPaUOCQ3z4/HnrufOKf0ZcE2bKtd/eO0S8gqNrIyLr4XoFEWpKmmS1XpUU/H24nvghlLxSXlMSnnc8vwckAwEV3fH9YxqmxVFUeqRuto2W9qVazC3M2XWv5It75mNAE4Xe30G6FlWGSmlQQhxEQi0LN96Rd2I2gtVqS1Dhne46rptg4LYez4ZrbrfVlEcg30HmQiVUiYCSCkThRAh5RUWQvQA9ECcLYKrQ1TbrCiKUp/U3bY5EMiQUhosqyvVptgymbWWgVyZ/pdVpjJ1EUJMA6ZZXhYIIQ5WKcL6JwiolzenimlPVLZovT0GVaCOgToGAK1qcmNZpK9YLecFVXMzbkKIncVez5ZSzv73hRBiNdDASr3nqrITIUQY8CNwt5RONsxjxVTbXFpd+Hvh6DE6enzg+DE6enygYqwJqm22tM2WK7NXqvBSsS2T2TNAo2KvGwLnyihzRgihA3yBC5Wsi+VAzwYQQuyUUnarsejrIHUM1DEAdQxAHQMwH4Oa3J6UckRNbq+MfQwta50QIkkIEWY58xuGuZuStXI+wFLgeSnlVmtlnJxqm6+gYqw+R48PHD9GR48PVIw1QbXNJdrmVMBPCKGzXJ212qZcyZb3zO4AWlhGqdJjHjRi0RVlFgF3W57fDKyVUkrL8lstIypGAS2A7TaKW1EURXE8xduLu4GFVxawtDV/AD9IKX+3YWx1iWqbFUVRlJpy1W2zpV1Zh7mdKbP+lWyWzFoy7IeAFcARYK6U8pAQYqYQYoyl2NdAoBAiFngUywhYUspDwFzgMPAXMF1KabRV7IqiKIrDeQMYJoQ4DgyzvEYI0U0I8ZWlzC3AAGCSEGKv5RFtn3Adk2qbFUVRlBpU3bb5KeBRS3sTiLn9KZcwJ8H1jxBiWvH+3c5IHQN1DEAdA1DHANQxUBxDXfgcqhirz9HjA8eP0dHjAxVjTXD0+OqCepvMKoqiKIqiKIqiKPWXLe+ZVRRFURRFURRFUZQaUeeTWSHEN0KI5LKG+hdCDBJCXCzWJ/tFW8dYm4QQjYQQ64QQR4QQh4QQM6yUEUKIj4QQsUKI/UKILvaItbZU8hjU98+BmxBiuxBin+UYvGyljKsQ4jfL52CbECLS9pHWnkoeg0lCiJRin4Op9oi1tgkhtEKIPUKIJVbW1evPgWI/QogEIcQBy3er1Aid5bVFQoi7hRDHLY+7r6zrIDEai/3tuHKQLFvF11oIsUUIUSCEePyKdSOEEDGW2J+ujfhqIMZy69oovomW3+1+IcRmIUSnYusc5RiWF2OtH8NKxjjWEt9eIcROIUS/Yutq/ftczfhq/btcmRiLletuienmYsts8jexXpBS1ukH5huIuwAHy1g/CFhi7zhr8f2HAV0sz72BY0DbK8qMBJZjnhOwF7DN3nHb4RjU98+BALwsz12AbUCvK8o8CHxueX4r8Ju947bDMZgEfGLvWG1wLB4F5lj7zNf3z4F62O8BJABB5ay32hYBAUC85ae/5bm/I8VoWZftAMcwBOgOvAo8Xmy5FogDmgJ6YN+V7aC9Y6xMXRvF1+ffzxdwXbHPoSMdQ6sx2uoYVjJGLy7frtgROGp5bpPv89XGZ3ld69/lyv6uLJ+7tcAy4GZbHsP68qjzV2allP9gnu/OKUkpE6WUuy3PszCPRhlxRbGxmIe/ltI8l5OfMM/9VC9U8hjUa5bfbbblpYvlceUN8WOB7y3P5wFDhLA6QXWdVMljUO8JIRoCo4CvyihSrz8HikMrqy0aDqySUl6QUqYDq4BanyuxijE6BCllspRyB1B0xaoeQKyUMl5KWQj8ivm92Fw5MToEKeVmy+cMYCvmuSzBsY5hWTE6DClltrRkXoAnl9tbh/g+lxOfo/kPMJ+S87E6xDGsK+p8MltJvYW56+FyIUQ7ewdTW4S5u2BnzFekiosAThd7fYZ6muyVcwygnn8OhLlr6V7MfxBXSSnL/BxI83QcFzEPe15vVOIYANxk6Xo0TwjRyMYh2sIHwJOAqYz19f5zoNiNBFYKIXYJIaZZWV9WW2TLNupqYwRws3RX3CqEuMFO8ZXFkY5hbdWtjX3cg/lKPDjuMSweY1XrVkeF+xFCjBNCHAWWAlMsi211HK82PrDNd7nCGIUQEcA44PMrVjnN/+01QWfvAGxgN9BESpkthBgJ/Il5Yvd6RQjhhfnMziNSyswrV1up4qhnqK5aBceg3n8OpHl+x2ghhB/whxCivZSy+L3k9f5zUIljsBj4RUpZIIS4H/MVymvsEWttEEKMBpKllLuEEIPKKmZlWb36HCh201dKeU4IEQKsEkIctfSe+ldZnz1bfiavNkaAxpa6TYG1QogDUso4G8dXFkc6hrVVt0bjE0IMxpwo/nsvpcMdQysx/n979x4jVXnGcfz7E5Far1BUTC1q8FLxRi0lKhbvplTrlVaqYGmTqr2haVobtdEGNLUqRJrUW6WugkpNvRFFqQYxbWkUm6qAWiVV6w1BUFELlIWnf7xndPYws7uzszuzM/w+yQk75/Ke5xxmznPed97zTqe3rUWMEXEfKdeOAiYDx1G789jV+KA2n+XOxHgd8IuI2JDrIOU8XYGm/2Y2IlYXuh5GxBygr6SBdQ6rW0nqS6rE3RER95ZY5Q2g+Buo3YC3ahFbrXR0DjaH90FBRLwPzGfTLimfvA8kbQnsQJN20S93DiJiZUSsy17+HvhyjUPraSOBkyW9Suoid4ykmbl1Npv3gdVWRLyV/bscuI/UbbNYuVxUsxxVRYzF2/6bdH35Uh3iK6c3ncMe2bY79yHpINKjGKdExMpsdq86h2VirMk5rHQ/WQVtSHZfVZPzWEV8NfksdzLG4cCsLKdGv04AAAmmSURBVGePAa7Pvilu+vv27tT0lVlJgwrPg0kaQTrmle1v1TiyY5sOvBARU8usNhs4R8mhwAcR8XbNguxhnTkHm8H7YKfs20gkbU1qfXwxt9psoDAi3hhgXtHzJA2vM+cg9+zbyaTnq5tGRFwcEbtFxB6kwZ3mRcS43GpN/T6w+pC0jaTtCn8DJwD5Xxkol4vmAidI6i+pf7bt3N4UYxZbv2zbgaSGo+frEF85C4G9Je0paSvS57/bR2mtJsYqj6/b4pM0GLgXGB8RLxUt6jXnsFyMtTiHFcS4V9F91SGkQbNWUoPPczXx1eKz3NkYI2LPiNgjy9l/An4YEfdTo2tis2j4bsaS7iKNVDtQ0hvA5aSBX4iIG0k3az+Q1AqsAcY22Y3bSGA8sEjpWUGAS4DB8Mk5mEMaoXEp8F/gu3WIsyd15hw0+/tgV+A2SX1IFfW7I+JBSZOApyNiNqnCP0PSUtI3cWPrF26P6Mw5mCjpZKCVdA4m1C3aGtrM3gdWH7uQuvNBure4MyIeUerO324uiohVkiaTKhMAkyKiJ3oLdDlGYD/gJkkbSdeXqyKiu2+AO4xP0iDgaWB7YKOkC0kj7q6W9GPSDW8f4A8RsaSb46sqRmBgqW1rHR9wGWmcgOuz9VojYnhEtPaWc1guxnLb1inGM0gNP+tJ91VnZvdVtfg8dzk+SbX4LHc2xpJqeE1sCoUhq83MzMzMzMwaRtN3MzYzMzMzM7Pm48qsmZmZmZmZNRxXZs3MzMzMzKzhuDJrZmZmZmZmDceVWTMzMzMzM2s4rsxaQ5M0X9ItNdpXSMr/ZmevIWlC9tND1ZZzhqTnJPXI9UHSdpKWSTq4J8o3M7P6cm7+lHOzWc9yZdaqImlrSZMlvSxpjaSVkhZKmlijEE4Hflqjfe1K+lHr3uqPwOerKUDSlsA1wOURsbHE8kWSNkg6qMSyFkmPlSm3VdIEgIj4EJgKTKkmVjMzK825uVdxbjbrQa7MWrVuAM4Bfk76UfRjgN8BO9Zi5xGxKiJW12hfyyJibTVlSNqqu+LJi4g1EfFOlcWcBnwGmJ1fIOlwYGdgOnBulftpAY6UdECV5ZiZ2aacmyvg3PyJFpybrcG4MmvVOhW4JiLuj4hXIuLZiGiJiEnFK0kaK+kZSWslvSppqqRtipbPlzRd0hWSlkt6X9KVkraQdJmkdyStkHRlrtw2XZmqKOcsSU9K+kDSu5IekrRPbp02XZkk7SppVraPNdm+hxctPyrb5kRJf5W0ljKJRtLx2farshiekDSiaPnhktZLOq1o3tFZq+rXs9dtujJJ2l7SrVm3oXWSXpc0tfx/JQBnAw9GxIYSy84D7gBuAcZJ+mwHZZUVEcuBBUCv7RpmZtbAnJudmyvm3GyNyJVZq9bbwNckDSi3glIXlhtIXVeGklqLjwNuzK06BugLHEHqnnQJ8CCwLfBV4GfAJZJGdxBTV8rpB0wGDgGOBzYAD6lMa60kAfcDXwROAkYA7wCPShqYW30KcDWwX7ZNKduSWs0PBQ4HXgYekfQ5gIhYAPwKmC5pcLaPmcC0iJhTpswrsuM5BdgbOBN4ocy6BUcCT5U43v7AN4HbIuIp4E3gWx2U1ZEngaOrLMPMzDbl3Ozc3FXOzdZYIsKTpy5PwEjgNVKCeQ64mXSBVtE6rwLn57YbBQTQP3s9H3gmt84SYFFu3rPAtUWv5wO35F5XXE6J4xqQxTeyaF4A47K/j81eDy1a3o90A3FZ9vqobJ3xXTivWwDvAWfn5j0G/AWYAywE+hYtnwC0Fr1+AGipYJ87ZvGOLrHsAuCfRa8vAhbk1mkBHitTdiswITdvIrCi3u9hT548eWq2ybnZublonnOzp6ae/M2sVSUi/gYMIbWq3gbsAtwDzFayE7A7MFXSR4UJeDgrYq+i4p7NFb+MlITz83buIKyKy5E0TNJ9kl6R9CHwn2zR7mX2sT+wMiKeL8yIiHWkFs39c+tu0pqaJ2lPSTMkLZW0GlgN7FC8/0iDPowHDiTdcIyNiPXtFHs9MEbSYknTJI1W+6Mgbp39W+rZo3NJ/78FM4ARqu65mrVF+zQzs27i3Ozc3NGxtcO52RqKK7NWtYhojYgFETElIk4htUKeRLqoF95jFwDDiqaDSd1rFhUVlb/4R5l5Hb1vKyone77kz9m875G6JX0le93eoBBRYp5KzP+4g3ghdbUaDPyI1J1pGLC8xP6Hkbo99QO+0F6BETE3K/NK0sARM4F5kvqU2eTdLPY23dIkHUHqgjYlew6oFXgd6EPb54zWkZI8ue23zdbNJ+IBwIr2jsHMzLrGubkN5+Yc52ZrFq7MWk8oPPuxc6QR/F4H9o2IpSWmqkYg7Cb7ATsBl0bE4xHxAtCflPzKWQIMlDS0MENSP1KyXVLJzrNnb4YCV0XE3KxFeS25Vm5Jg0gtsL8GfgvMLDy3U06kESXviojzgBNJz90MLbPuemAxm7Zenwc8SrrJKb7puQAYL6nQgvsisK+kfNIcUbS82IHA0+3Fb2Zm3ca5uQLOzWaNwZVZq0o2st/5koZL2l3SsaQuNO8Dj2erXQpMlPRLSQdI2lfSqZJuqlvgbb1Garn8iaQh2TFMo3TrbsE8UhelOyWNzLr03E5qZb2hwv2/R2oF/b6kfSQdBtwFrCmskA1qcTvwEmmwiYtJ3bFuLVeo0kiRp2fne2/SaIgf8Wk3rVLmkJJqoYwBpEE7ZkTE4uKJ9DMA/UiDT0BqXV4HzJJ0WNY96yTSYCLzI+KZ3PGMAh7q+PSYmVklnJudm3Futs2EK7NWrYdJF+I5wL9IF/CXSYMzvAsQETNIo+udSEoyC0kX/TfrEO8msjjHkUZKXAJcSxpVcZMfJi/aJkg/ffAi6aK/EBgEHF847gr2v5GUdIaQnh9qAa4jDVhRcBEwHDgrIjZExP+AbwNHS5pYpui1wCTgH6RW1oNIA0h80E44NwOjJBW6SX2H1Ar+QIm4PyYd+7nZ6xWkLmCrgFl8ei7vAb6R2/woUpesu9uJxczMusa52bnZudk2C0qfezNrT9ZNaS1wWkSUG8K/KUiaDnwYERf24D7mAE9ExG96ah9mZtbcnJu7fR/OzdZw/M2sWQck7QicReratLjO4dTCxcCyDkZX7DJJ2wF/J7Vwm5mZVcy5uXs5N1uj8jezZh2QdCswGpgaEVfXOx4zM7PNnXOzmYErs2ZmZmZmZtaA3M3YzMzMzMzMGo4rs2ZmZmZmZtZwXJk1MzMzMzOzhuPKrJmZmZmZmTUcV2bNzMzMzMys4bgya2ZmZmZmZg3n/08Mv0n0bEnFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f33d781b940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 6))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(periods.a_x, periods.e_x, c=periods.sdssa, vmin=-0.2, vmax=0.4, marker='.', s=10)\n",
    "plt.colorbar()\n",
    "plt.xlim(1.5, 4)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.ylim(0, 0.4)\n",
    "plt.xlabel(\"Semimajor axis (AU)\", fontsize='x-large')\n",
    "plt.ylabel(\"Eccentricity\", fontsize='x-large')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(periods.a_x, periods.e_x, c=periods.sdssa, vmin=-0.2, vmax=0.2, marker='.', s=12)\n",
    "plt.colorbar()\n",
    "plt.xlim(5, 5.4)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.ylim(0, .4)\n",
    "plt.xlabel(\"Semimajor axis (AU)\", fontsize='x-large')\n",
    "plt.ylabel(\"Eccentricity\", fontsize='x-large')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'Inclination')"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f33a39a1828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 6))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(periods.a_x, periods.inc_x, c=periods.sdssa, vmin=-0.2, vmax=0.4, marker='.', s=10)\n",
    "plt.colorbar()\n",
    "plt.xlim(1.5, 4)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.ylim(ymin=0)\n",
    "plt.xlabel(\"Semimajor axis (AU)\", fontsize='x-large')\n",
    "plt.ylabel(\"Inclination\", fontsize='x-large')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(periods.a_x, periods.inc_x, c=periods.sdssa, vmin=-0.2, vmax=0.2, marker='.', s=12)\n",
    "plt.colorbar()\n",
    "plt.xlim(5, 5.4)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.ylim(ymin=0)\n",
    "plt.xlabel(\"Semimajor axis (AU)\", fontsize='x-large')\n",
    "plt.ylabel(\"Inclination\", fontsize='x-large')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "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>solution_id</th>\n",
       "      <th>source_id</th>\n",
       "      <th>num_of_obs</th>\n",
       "      <th>number_mp</th>\n",
       "      <th>denomination</th>\n",
       "      <th>numberId</th>\n",
       "      <th>designation</th>\n",
       "      <th>computer</th>\n",
       "      <th>H</th>\n",
       "      <th>G1</th>\n",
       "      <th>...</th>\n",
       "      <th>date_comp</th>\n",
       "      <th>ceu</th>\n",
       "      <th>deltaceu</th>\n",
       "      <th>ceudate</th>\n",
       "      <th>peumax</th>\n",
       "      <th>peumaxdate</th>\n",
       "      <th>peumax10</th>\n",
       "      <th>peumax10date</th>\n",
       "      <th>peumax2</th>\n",
       "      <th>peumax2date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2448</th>\n",
       "      <td>4166707207534977073</td>\n",
       "      <td>-4283606216</td>\n",
       "      <td>104</td>\n",
       "      <td>136108</td>\n",
       "      <td>haumea</td>\n",
       "      <td>136108</td>\n",
       "      <td>Haumea</td>\n",
       "      <td>L.H. Wasserman</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.15</td>\n",
       "      <td>...</td>\n",
       "      <td>20180507</td>\n",
       "      <td>0.024</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>20180531</td>\n",
       "      <td>0.034</td>\n",
       "      <td>20190122</td>\n",
       "      <td>0.093</td>\n",
       "      <td>20280206</td>\n",
       "      <td>0.092</td>\n",
       "      <td>20280207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2449</th>\n",
       "      <td>4166707207534977073</td>\n",
       "      <td>-4283602576</td>\n",
       "      <td>78</td>\n",
       "      <td>136472</td>\n",
       "      <td>makemake</td>\n",
       "      <td>136472</td>\n",
       "      <td>Makemake</td>\n",
       "      <td>L.H. Wasserman</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>0.15</td>\n",
       "      <td>...</td>\n",
       "      <td>20180507</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>20180531</td>\n",
       "      <td>0.025</td>\n",
       "      <td>20180714</td>\n",
       "      <td>0.090</td>\n",
       "      <td>20280112</td>\n",
       "      <td>0.090</td>\n",
       "      <td>20280112</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 38 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              solution_id   source_id  num_of_obs  number_mp denomination  \\\n",
       "2448  4166707207534977073 -4283606216         104     136108       haumea   \n",
       "2449  4166707207534977073 -4283602576          78     136472     makemake   \n",
       "\n",
       "      numberId designation        computer    H    G1     ...       date_comp  \\\n",
       "2448    136108      Haumea  L.H. Wasserman  0.2  0.15     ...        20180507   \n",
       "2449    136472    Makemake  L.H. Wasserman -0.2  0.15     ...        20180507   \n",
       "\n",
       "        ceu  deltaceu   ceudate  peumax  peumaxdate  peumax10  peumax10date  \\\n",
       "2448  0.024  0.000015  20180531   0.034    20190122     0.093      20280206   \n",
       "2449  0.025  0.000034  20180531   0.025    20180714     0.090      20280112   \n",
       "\n",
       "      peumax2  peumax2date  \n",
       "2448    0.092     20280207  \n",
       "2449    0.090     20280112  \n",
       "\n",
       "[2 rows x 38 columns]"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matched.query('a > 7')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "haumea = obs.query('number_mp == 136108')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "makemake = obs.query('number_mp == 136472')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f33a08e4f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "plt.errorbar(haumea.epoch, haumea.g_flux, yerr=haumea.g_flux_error, color='k', linestyle='', marker='.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3399882c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "plt.errorbar(makemake.epoch, makemake.g_flux, yerr=makemake.g_flux_error, color='k', linestyle='', marker='.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'Number of Gaia SSO sources')"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CHJnkCLrR9w+m69EvS7JT66WvBG5s9bcA+wBbkuwEPAT47sy+liRJS9tkp+jfAmwc2H8U8AfAm+lOu0+qqt5QVSurahXwfODcqnohcB5wbKu2BjijbZ/JPaf+j2317aFLkjQDkyX4B1fVVQP711bVxVX1BeBBs/jM1wOvTbKJ7hr7ya38ZGCPVv5aYN0sPkOSpCVtsmvwywZ3quqYgd29p/MhVXU+cH7bvg44eII6PwKOm85xJUnSxCbrwX81ybPGF7bBc9eMLiRJkjRbk/XgXwN8JsmxwCWt7AnAk4FnjzowSZI0c9vswVfVJuBxwL8Bq9rjC8Djqupr8xGcJEmamUnvg6+qHwMfmKdYJEnSHBlmJjtJkrSdmXImO2nUxq8fv/nE+4ztlCRN0zZ78EnOac+u6iZJ0nZmsh788iS/Sjfd7EcZN1d8VV0y8dskSdJCmyzBv5FuNrmVwNvHvVZMb014SZI0j7aZ4KvqNOC0JH9aVX8+jzFJkqRZGma52D9PciTw1FZ0flV9erRhSZKk2ZjyNrkkfwW8CriqPV7VyiRJ0iI1zG1yzwIOrKq7AJJsAL4MvGGUgUmSpJkbdqKbwZXlHjKKQCRJ0twZpgf/V8CXk5xHd6vcU7H3LknSojbMILuPJDkf+GW6BP/6qvrWqAOTJEkzN9RUtVV1E3DmiGORJElzxMVmJEnqIRO8JEk9NGmCT7JDkivmKxhJkjQ3Jr0GX1V3JbksycOr6vr5Ckoa5HKykjR9wwyyWw5cmeRLwB1jhVV15MiikiRJszJMgn/LTA6c5P7AF4D7tc85rarelGRf4KPA7sAlwIur6r+T3A84BXgC8B3geVW1eSafLUnSUjflILuqugDYDOzcti+iS8xT+TFwWFUdABwIPCPJIcBbgXdU1f7ArcDaVn8tcGtVPRJ4R6snSZJmYJjFZv4XcBrwD61oBfDJqd5XnR+03Z3bY2wd+dNa+Qbg6LZ9VNunvX54kgzxHSRJ0jjD3CZ3AvAU4HsAVXUt8NBhDp5kxySXArcAZwP/CdxWVXe2KlvofjDQnm9on3EncDuwx3BfQ5IkDRomwf+4qv57bCfJTnQ98SlV1U+r6kBgJXAw8AsTVRs79CSv3S3J8Uk2Jtm4devWYcKQJGnJGWaQ3QVJ/gh4QJJfA14OfGo6H1JVt7X57A8BliXZqfXSVwI3tmpbgH2ALe1HxEOA705wrPXAeoDVq1cP9UNjezL+ljBJkmZimB78OmAr8BXgZcBZwJ9M9aYkeyVZ1rYfADwduBo4Dzi2VVsDnNG2z2z7tNfPrareJXBJkubDMKvJ3ZVkA3Ah3Snza4ZMvMuBDUl2pPshcWpVfTrJVcBHk/wF8GXg5Fb/ZOAfk2yi67k/f/pfR33gWQxJmr0pE3ySZwHvoxsgF2DfJC+rqn+Z7H1VdTnw+AnKr6O7Hj++/EfAcUPGLUmSJjHMNfi3AU+rqk0ASR4BfAaYNMFLkqSFM8w1+FvGkntzHd1tb5IkaZHaZg8+yTFt88okZwGn0l2DP45uNjtJkrRITXaK/jkD2zcDv9q2twK7jSwiSZI0a9tM8FX10vkMRJIkzZ1hRtHvC7wSWDVY3+VitVi5frwkDTeK/pN096h/CrhrtOFI0+d985J0X8Mk+B9V1btGHok0JBO6JE1tmAR/UpI3AZ+nW+MdgKoaZk14SZK0AIZJ8L8EvJhuHfexU/Rj67prluyNSpJGYZgE/1xgv8ElYyVJ0uI2zEx2lwHLRh2IJEmaO8P04PcGvprkIu59Dd7b5CRJWqSGSfBvGnkUkiRpTg2zHvwF8xGIJEmaO8PMZPd9ulHzALsAOwN3VNWDRxmYJEmauWF68A8a3E9yNHDwyCKSJEmzNswo+nupqk/iPfCSJC1qw5yiP2ZgdwdgNfecspckSYvQMKPoB9eFvxPYDBw1kmgkSdKcGOYavOvCS5K0ndlmgk/yxkneV1X15yOIRxo514uXtBRM1oO/Y4KyXYG1wB6ACV6SpEVqm6Poq+ptYw9gPfAA4KXAR4H9pjpwkn2SnJfk6iRXJnlVK989ydlJrm3Pu7XyJHlXkk1JLk9y0Jx8Q0mSlqBJr8En2R14LfBCYANwUFXdOuSx7wReV1WXJHkQcHGSs4HfAs6pqhOTrAPWAa8Hngns3x5PBN7bnqVZcUleSUvRZNfg/wY4hq73/ktV9YPpHLiqbgJuatvfT3I1sIJuBP6hrdoG4Hy6BH8UcEpVFfDFJMuSLG/HkUbGa/KS+miyiW5eBzwM+BPgxiTfa4/vJ/nedD4kySrg8cCFwN5jSbs9P7RVWwHcMPC2La1s/LGOT7IxycatW7dOJwxJkpaMbfbgq2ras9xNJMnPAJ8AXl1V30uyzaoThTFBXOvpziqwevVqJ9yRJGkCc5LEtyXJznTJ/cNV9c+t+OYky9vry4FbWvkWYJ+Bt68EbhxlfJIk9dXIEny6rvrJwNVV9faBl84E1rTtNcAZA+UvaaPpDwFu9/q7JEkzM8xUtTP1FODFwFeSXNrK/gg4ETg1yVrgeuC49tpZwBHAJuCHdLfkSZKkGRhZgq+qf2fi6+oAh09Qv4ATRhWPNCxH1Uvqg5Feg5ckSQvDBC9JUg+Z4CVJ6iETvCRJPWSClySph0zwkiT10Cjvg5d6ydvoJG0PTPDSFFxuVtL2yAQ/z0wW/WOPXtJi5DV4SZJ6yB68NMcmOktjr17SfLMHL0lSD5ngJUnqIRO8JEk9ZIKXJKmHTPCSJPWQo+ilBeC985JGzR68JEk9ZIKXJKmHPEUvzQOnKJY030zw0iLkNXpJs2WClxYBe/iS5prX4CVJ6qGRJfgkH0hyS5IrBsp2T3J2kmvb826tPEnelWRTksuTHDSquCRJWgpG2YP/EPCMcWXrgHOqan/gnLYP8Exg//Y4HnjvCOOSJKn3Rpbgq+oLwHfHFR8FbGjbG4CjB8pPqc4XgWVJlo8qNkmS+m6+B9ntXVU3AVTVTUke2spXADcM1NvSym4af4Akx9P18nn4wx8+2mjngIOnJEkLYbGMos8EZTVRxapaD6wHWL169YR1pL7zNjpJU5nvUfQ3j516b8+3tPItwD4D9VYCN85zbJIk9cZ89+DPBNYAJ7bnMwbKX5Hko8ATgdvHTuVL8lKPpOkbWYJP8hHgUGDPJFuAN9El9lOTrAWuB45r1c8CjgA2AT8EXjqquCRJWgpGluCr6gXbeOnwCeoWcMKoYpEkaalZLIPsJM0hB+FJMsFLS5A/AKT+M8FLPTDVIDwH6UlLjwlekj16qYdcTU6SpB4ywUuS1EOeopd0H56yl7Z/JnhJUzLhS9sfT9FLktRD9uAlTZs9emnxswcvSVIPmeAlSeohT9HPMWcMk+5ror8LT+tLo2UPXpKkHrIHL2nW5mLQ3VRnv+zxS9Njgpc057xUJS08T9FLktRD9uAlLQh7+dJo2YOXJKmH7MHPkr0QSdJiZIKXtF2YaqS+0+dK92aCl7Rdmurs2XTPrvmDQH2zqBJ8kmcAJwE7Au+vqhMXOCRJS4RnCNQ3iybBJ9kR+Dvg14AtwEVJzqyqqxY2Mkm6L88QaLFbNAkeOBjYVFXXAST5KHAUsGAJ3l/s0tK1GAbQ+m+QZmMxJfgVwA0D+1uAJ85nAHN9TU+SxszFvx+zvYww3emAZ3uWYrbfeaIfNLP9DqO+9LKYfpSlqhbswwclOQ74jar67bb/YuDgqnrluHrHA8e33UcB1wxx+D2Bb89huH1hu2ybbTMx22XbbJuJ2S7bNpO2+bmq2muYioupB78F2GdgfyVw4/hKVbUeWD+dAyfZWFWrZxde/9gu22bbTMx22TbbZmK2y7aNum0W00x2FwH7J9k3yS7A84EzFzgmSZK2S4umB19VdyZ5BfA5utvkPlBVVy5wWJIkbZcWTYIHqKqzgLNGcOhpndJfQmyXbbNtJma7bJttMzHbZdtG2jaLZpCdJEmaO4vpGrwkSZojJnhJknqo1wk+yTOSXJNkU5J1Cx3PfEvygSS3JLlioGz3JGcnubY979bKk+Rdra0uT3LQwkU+Wkn2SXJekquTXJnkVa3ctknun+RLSS5rbfOWVr5vkgtb23ys3elCkvu1/U3t9VULGf+oJdkxyZeTfLrtL/l2SbI5yVeSXJpkYytb8n9LAEmWJTktyVfbvzdPms+26W2CH5jb/pnAY4AXJHnMwkY17z4EPGNc2TrgnKraHzin7UPXTvu3x/HAe+cpxoVwJ/C6qvoF4BDghPb/hm0DPwYOq6oDgAOBZyQ5BHgr8I7WNrcCa1v9tcCtVfVI4B2tXp+9Crh6YN926Tytqg4cuKfbv6XOScBnq+rRwAF0/+/MX9tUVS8fwJOAzw3svwF4w0LHtQDtsAq4YmD/GmB5214OXNO2/wF4wUT1+v4AzqBb5Mi2uXe7PBC4hG7K6G8DO7Xyu/+26G5rfVLb3qnVy0LHPqL2WNn+QT4M+DQQ26UANgN7jitb8n9LwIOBr4//7z6fbdPbHjwTz22/YoFiWUz2rqqbANrzQ1v5kmyvdur08cCF2DbA3aehLwVuAc4G/hO4rarubFUGv//dbdNevx3YY34jnjfvBP4QuKvt74HtAlDA55Nc3KYSB/+WAPYDtgIfbJd13p9kV+axbfqc4DNBmfcEbtuSa68kPwN8Anh1VX1vsqoTlPW2barqp1V1IF2P9WDgFyaq1p6XRNskeTZwS1VdPFg8QdUl1S7NU6rqILpTzCckeeokdZdSu+wEHAS8t6oeD9zBPafjJzLnbdPnBD/U3PZL0M1JlgO051ta+ZJqryQ70yX3D1fVP7di22ZAVd0GnE83TmFZkrGJsQa//91t015/CPDd+Y10XjwFODLJZuCjdKfp34ntQlXd2J5vAU6n+1Ho31L3XbdU1YVt/zS6hD9vbdPnBO/c9hM7E1jTttfQXX8eK39JG8l5CHD72GmkvkkS4GTg6qp6+8BLtk2yV5JlbfsBwNPpBgadBxzbqo1vm7E2OxY4t9oFxD6pqjdU1cqqWkX3b8m5VfVClni7JNk1yYPGtoFfB67AvyWq6lvADUke1YoOB65iPttmoQcijHiQwxHA1+iuIf7xQsezAN//I8BNwE/ofh2upbsOeA5wbXvevdUN3V0H/wl8BVi90PGPsF1+he7U1+XApe1xhG1TAI8Dvtza5grgja18P+BLwCbg48D9Wvn92/6m9vp+C/0d5qGNDgU+bbvc/f0va48rx/6d9W/p7vY5ENjY/p4+Cew2n23jVLWSJPVQn0/RS5K0ZJngJUnqIRO8JEk9ZIKXJKmHTPCSJPWQCV6aI0kqydsG9n8/yZvn6NgfSnLs1DVn/TnHtVWvzhuy/qFjK6stpBbHkwf2fyfJSxYyJmmhmeClufNj4Jgkey50IIPayorDWgu8vKqeNqp4pjIwM9x0HArcneCr6n1VdcqcBSVth0zw0ty5E1gPvGb8C+N74El+0J4PTXJBklOTfC3JiUlemG5N9q8kecTAYZ6e5N9avWe39++Y5G+SXNTWkH7ZwHHPS/JPdJNmjI/nBe34VyR5ayt7I90kQO9L8jfj6qd9zhXtfc8bePnBSU5PclWS9yXZocX1oYH6r2nHeUSSz7aFSf4tyaMH2uft7czB36RbY3zZwOdvSrJ3kuekW1/9y0n+tZWtAn4HeE26Ncn/R5I3J/n99t4Dk3yxtc/puWf97fOTvLW19deS/I9W/out7NL2nv2n/k8vLT4z+aUsadv+Drg8yV9P4z0H0C3o8l3gOuD9VXVwklcBrwRe3eqtAn4VeARwXpJHAi+hm9Lyl5PcD/i/ST7f6h8MPLaqvj74YUkeRrc++RPo1jD/fJKjq+rPkhwG/H5VbRwX4zF0s3IdAOwJXJTkCwOf8xjgG8BnW92vAyuq6rHtM8eS9Xrgd6rq2iRPBP6ebl53gJ8Hnl5VP02yA/BcupW4nghsrqqbk/w7cEhVVZLfBv6wql6X5H3AD6rqb9vnHT4Q+ynAK6vqgiR/BrxpoE13am19RCt/Ot2PhZOq6sPpprmezhkQadGwBy/NoepWpTsF+L1pvO2iqrqpqn5MN03lWIL+Cl1SH3NqVd1VVdfS/RB4NN3c3y9Jt7zrhXTTYI71OL/2AM5HAAACj0lEQVQ0Prk3vwycX1Vbq1vK9MPAZCuAQdez/0h1K83dDFzQjjP2OddV1U/ppkf+lRbffkneneQZwPfSrd73ZODjLd5/oFsPe8zH2zEAPgaMnSV4ftuHbgGOzyX5CvAHwC9OFnSShwDLquqCVrRh3HcdW2joYu5p6/8A/ijJ64Gfq6r/muwzpMXKBC/NvXfSXcvedaDsTtrfW5IAuwy89uOB7bsG9u/i3mfZxs8rXXTzV7+yqg5sj32rauwHwh3biG+iZSmnMtl77hNXVd1K19s/HzgBeD/d979tINYDq2pwKdrBeP8DeGSSvYCjuScRvxt4T1X9EvAyujnfZ2OsrX9Ka+uq+ifgSOC/6H5MHLaN90qLmglemmNV9V3gVLokP2Yz3SlxgKOAnWdw6OPa9e1H0C3ycQ3wOeB30y1/S5KfT7eq12QuBH41yZ5tAN4L6Hrkk/kC8Lx2bX0vul7wl9prB6dbtXEHul73v6cbaLhDVX0C+FPgoHZ24+tJjmuxJskBE31YdYtknA68nW7Vv++0lx4CfLNtrxl4y/eBB01wnNuBW8eurwMvnuq7JtkPuK6q3kW3wtfjJqsvLVYmeGk03kZ3rXrM/6ZLql8Cnsi2e9eTuYYuOf0L3XXsH9H1jK8CLklyBd1p70nH1lS3BOUb6JY6vQy4pKrOmOw9dMn28lb/XLpr399qr/0HcCLd6nNfb3VXAOe3U/Efap8H8EJgbZKx1ceOmuQzPwa8iHtOzwO8me4U/78B3x4o/xTw3LFBduOOs4Zu4N7ldOMI/myK7/o84IoW+6PpLrlI2x1Xk5MkqYfswUuS1EMmeEmSesgEL0lSD5ngJUnqIRO8JEk9ZIKXJKmHTPCSJPXQ/wc3gHzO2yXS/QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f33b1556630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "n, b, p = plt.hist(sources.num_of_obs, bins=100)\n",
    "plt.xlabel('Number of observations')\n",
    "plt.ylabel('Number of Gaia SSO sources')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Objects with more than 400 observations')"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XAD3dfa2ZHQCMN7O9qvRN2kFkCdfdK8zsUuAFIBd4yN3nmNkYYIa7TwAuNbPjgHJgPXBuuO0cM3uaoINVBfAjd49FFauIiGSPBnaaWuPuQ2rdr/vy8O8qM3uWoLPu62aWB3wDOCChbClQGs7PNLNPgAHAjJ12HIp04At3nwhMrPLYdQnzP6ll25uAm6KLTkREspMR89SeETWzVkCOu28O508AxoSrjwPmufuyhPLFwDp3j5lZH4KW2EW1HUMjTYmISFYJxlJOeRekXYFng75R5BGMEzEpXDeKnTtLHQmMMbMKgsuILnb3dbUdQAlXRESyTqqvww3HjNi3hnXnVfPYM8AzyRxDCVdERLKKe+qblBuDEq6IiGSdeIaMj5wMJVwREckqQS9l1XBFREQipiZlERGRyEXUSzlySrgiIpJ1YtHdvCAySrgiIpJVKsdSzjbZF7GIiEgWUg1XRESyTlydpkRERKKly4JEREQagWPqNCUiItIYdFmQiIhIxNzRwBciIiLRM42lLCIiEjVHNVwREZFGoV7KIiIiEXOMuHopi4iIRE81XBERkYg5GmlKRESkERgx9VIWERGJlmq4IiIijUQ1XBERkYi5m2q4IiIijSEbB77IvohFRESykGq4IiKSVRw0lrKIiEj0TE3KIiIiUQsuC7Kkpvows8Vm9oGZzTazGeFjN5jZ5+Fjs81sREL5a8xsoZnNN7MT69q/argiIpJ1Ihza8Wh3X1PlsT+6+22JD5jZIGAUsBfQFXjZzAa4e6ymHauGKyIiWaXy5gWpruEm6TRgnLuXuvunwEJgaG0bKOGKiEjWiZOT1FRPDrxoZjPN7KKExy81s/fN7CEz6xA+1g1YmlBmWfhYjSJNuGY2PGzbXmhmV1ez/nIzmxs+kVfMbPeEdbGENvMJUcYpIiLZwx1ibklNQCczm5EwXVTNrg9z9/2Bk4AfmdmRwL1AX2AwsAL4Q1i2umqz1xZ3ZOdwzSwXuBs4niDzTzezCe4+N6HYLGCIu28zsx8Cvwe+Ga7b7u6Do4pPRESyVwOaide4+5DaCrj78vDvKjN7Fhjq7q9XrjezB4Dnw8VlQI+EzbsDy2vbf5Q13KHAQndf5O5lwDiCNu8vufur7r4tXJxKELCIiEiNgnO4OUlNdTGzVmbWpnIeOAH40Mx2Syh2OvBhOD8BGGVmhWbWG+gPTKvtGFH2Uq6uffugWsqfD/wnYbko7JZdAdzi7uNTH6KIiGSjCG5esCvwrJlBkBufcPdJZvaomQ0maC5eDPwAwN3nmNnTwFyCPPWj2nooV+40KvVu3zaz0cAQ4KiEh3u6+3Iz6wNMNrMP3P2TKttdBFwE0LNnz9RELSIiGa3yOtyU7tN9EbBvNY9/p5ZtbgJuqu8xomxSrlf7tpkdB/wKGOnupZWPJ7SlLwKmAPtV3dbdx7r7EHcfUlxcnNroRUQkQ6W+SbkxRBnFdKC/mfU2swKCC4R36G1sZvsB9xMk21UJj3cws8JwvhNwGEG1XUREhDiW1JQJImtSdvcKM7sUeAHIBR4K27zHADPcfQJwK9Aa+HvYbr7E3UcCewL3m1mc4EfBLVV6N4uISDNVeVlQtol0aEd3nwhMrPLYdQnzx9Ww3VvA3lHGJiIi2StTmomTobGURUQkq1QO7Zhtsu8ngoiISBZSDVdERLJOpnSESoYSrkgWcXf+/cBkZr78AUecMZRjvnloukMSaXRRXIfbGJRwRbLIa3+fythrnqR0WykzX/mAjl3aM/ioQekOS6TRZWOnqeyLWKQZW/ThUkq3BePDeNz5bO7naY5IJA2SvBduptSGlXBFsshRZx5EUatCWrZtQX5hPgeN0A21pPlxNPCFiESs7z6788C7t/DJ+0vYY0gfOnZpn+6QRNIiU2qtyVDCFckynXt2onPPTukOQyRt1GlKRESkkSjhioiIRCxbR5pSwhURkayTKR2hkqGEKyIi2cXVpCwiIhI5dZoSERFpJEq4IiIiEVOnKRERkUbiSrgiArB00Sr+/pc36NCpNef84GiKWhakOySRJkW9lEWE0pJyLv/W/WzdXEJefi7Ll6zlV3/8VrrDEmkyPEt7KevmBSIptmHtFspKy3F3yssqWPCh7ugjIkq4IilXvFs7evbtTIuWBRS1yGf4WUPSHZJIk+NuSU2ZQE3KIimWk5PDbY/9gBlvzKddh1Z8bUjvdIck0sSol7KIhAqL8jns+K+lOwyRJitTaq3JUMIVEZGsEtVIU2a2GNgMxIAKdx9iZrcCpwJlwCfA99x9g5n1Aj4C5oebT3X3i2vbvxKuiIhkFw96KkfkaHdfk7D8EnCNu1eY2e+Aa4CrwnWfuPvg+u5YnaZEQiXbSikrKU96u882r+e8yU8x+uUnWbBhTd0biMhXFseSmhrK3V9094pwcSrQvaH7UsIVASY8MJkze/2YM3a/jFeeejupbc+b/BRvLP+Ut1Yu5lsvPxFRhODuTH1rAS9Oep/t28oiO45IpnMa1Eu5k5nNSJguqmHXL5rZzBrWfx/4T8JybzObZWavmdkRdcWtJmVp9uLxOPf/6ili5TEA7r7ycY795iH13n7lts3ECdq31pVsIxaPk5uT+t+yD9w3mQnPzgTg6Sencv9DF5Cbq9/M0hw1qJfyGnev6xq9w9x9uZl1Bl4ys3nu/jqAmf0KqAAeD8uuAHq6+1ozOwAYb2Z7ufummnauT6s0e2ZGfsH/fnsWtixMavsfDDqYotw8WuTm8Z099o8k2QK8+vIcSkrKKSkpZ/nn61m3dkskxxHJBu7JTfXbpy8P/64CngWGApjZucApwLfdg725e6m7rw3nZxJ0qBpQ2/5Vw5Vmz8y47rEf8cdLHyY3L5dfjL0wqe1/uu8RnNJrTyricQZ26BxRlPC1fXrw3zc+pqIiRqvWhbTv0CqyY4lkulRfFmRmrYAcd98czp8AjDGz4QSdpI5y920J5YuBde4eM7M+QH9gUW3HUMIVAfYfNohHP7y1wdv3a9cphdFU78qrT6Vvv2ls2LCN0888kPz83MiPKZKJglpryi8L2hV41swgyI1PuPskM1sIFBI0McP/Lv85kiAhVxBcRnSxu6+r7QBKuCJZoqAwj1HfPjTdYYhkhFRfh+vui4B9q3m8Xw3lnwGeSeYYSrgiWap0exn//surlG4v45Tzj6ZNx9bpDkmk0UR4HW5kIu00ZWbDzWy+mS00s6urWX+5mc01s/fN7BUz2z1h3blmtiCczo0yTpFklJdVMHfqAlYtSe81t78efRcP3/gMj9/yHJefeDOejd9AIg2kmxckMLNc4G7geGAZMN3MJrj73IRis4Ah7r7NzH4I/B74ppl1BK4HhhBcFzUz3HZ9VPGK1Ed5WQU/OfIGln/yBfFYnGufuIyhw+s90ExKzXl7AeWlwUAdny9YSVlJOYUtdKN7afqczEmiyYiyhjsUWOjui9y9DBgHnJZYwN1fTej1lTiCx4nAS+6+LkyyLwHDI4xVpF4+nrmI5Z98wfYtJZRuL+Op255PWyxDT9iHopaFFLYooP9+vZRspVnxJKdMEOU53G7A0oTlZcBBtZQ/n/+N4FHdtt1SGp1IAxR360g8FgcgvzCPHgN226nM5GemMf6BV+m7V3cu/s1ZkSXCXzx4EVP+8Q5lJeUcffbBkRxDRFInyoRbXX2/2h8aZjaaoPn4qGS2DYfeugigZ8+eDYtSJAmde3bi2icu46lb/0WPgV25+Pff3mH94nnLueOKJygtKWfxvOW0bNeCC6/7RiSx5Oblcuwo9VqWZiiay4IiF2XCXQb0SFjuDiyvWsjMjgN+RXBRcWnCtsOqbDul6rbuPhYYCzBkyJBMaTWQJm7o8ME1nrdds3w9OeFwi+WlFaz4dHVjhibSfGThN36U53CnA/3NrLeZFQCjgAmJBcxsP+B+YGQ4lFalF4ATzKyDmXUgGPHjhQhjFUmJvQ/pT+fuHWnRqpCilgWcecnx6Q5JpElqsr2UzewUYKK7x+u74/DegZcSJMpc4CF3n2NmY4AZ7j4BuBVoDfw9HMFjibuPdPd1ZvZrgqQNMKauETxEMkFhiwLufPFqFn+0nOJuHWjfqU26QxJpkrLxKrj6NimPAv5sZs8AD7v7R/XZyN0nAhOrPHZdwvxxtWz7EPBQPeMTyRj5BXn031d9CkSiUnl7vmxTryZldx8N7EdwN4SHzextM7vIzPTzXUREGpcDbslNGaDe53DDe/w9Q3A97W7A6cC7ZnZZRLGJiIhUK4rb80WtXgnXzEaa2bPAZCAfGOruJxEM9HxFhPGJiIjsLAtHvqjvOdwzgT96eOf7SuGQjN9PfVgiIiI1yZyex8mob5PyiqrJ1sx+B+Dur6Q8KhGp0YxXPuTJ255n0QdL6y4s0lRlYQ23vgm3uosJT0plICJSt/8+/y6//s49PPrb57h8+G9ZtnBlukMSaXyendfh1ppwzeyHZvYBMDC8hV7l9CnwfuOEKCKVpr/0AaXby4jHHcz4aPon6Q5JJD2aYA33CeBU4Lnwb+V0QHipkEjG2b61hGkvfcBn81ekO5SUO+jEfSlsUUBuXg447HVQv3SHJJImluSUfnV1mnJ3X2xmP6q6wsw6avQnyTQlW0u55Oib2Lh2M/FYnF/c830OHfHV71e7atk6/vXwa7Tt2JrTLhhGQWF+CqJN3iEjBnPjuMtYMGsxBx6/D1377JqWOETSLkNqrcmoK+E+AZwCzCR4eok/ExzoE1FcIg0yf9ZiNq3dwvYtwX0wJvxlyldOuOVlFfz05FvZuHYzeXm5LJqzjKvu+V4qwm2QwUfuyeAj90zb8UUyQlNLuO5+Svi3d+OEI/LV7NarmFh4v9qConz67fPVh1jcsHozWzdtJx5zymIVvPPGXCpiMbZsLqVNmyJyc6O8B4iI7KRypKksU9+bF5wOTHb3jeFye2CYu4+PMjiRZHXu3pExj/+I8Q9MZveBXfnW5SO+8j47dmlHpx4dWbY4uKHVyv4FnPG9e9m+poT2HVpyzx3fodMuGuVURGpX34Evrnf3ZysX3H2DmV0PKOFKxtnnsAHsc9iAlO0vNzeH0Q+ew1V/Gse2AoeCQgo/3AYVzrq1Wxn/3Ltc8P2jUnY8EalbpgzXmIz6Jtzq2syivHm9SEYZ0qsnNrQYLy8lf1kF+TlOOTFyc43WrYvSHZ5I85OFCbe+J59mmNntZtbXzPqY2R8JOlKJNAttCgp5+IjT6DrLafteGT26tKd9+5YcNLQvp5+2f7rDE2l+svBuQfWtpV4G/B/wFEFP5ReBnS4VEslk8XicWf9dAA77Hd6fnJzkOjs9PvZ1mLOVAocvtq3jj3d9l/4DukQUbe3KyyrYur2Uqx+bxIdLvmD4/nvwq7OPwSwzvlhEomZZWMOtV8J1963A1RHHIhKp2696mv++8AEABx+3F1fd/q2kts/JMdyMkg45eI6Rk1N7clu+bR3/XPoOuxS25syeh5Cfk5qzMK8/N51bf/gwFbEYmw/owuZ+7Xl++kccPqgXw/bum5JjiGS0iEaPMrPFwGYgBlS4+xAz60hQ2ewFLAbOdvf1Fvy6/TMwAtgGnOfu79a2/7qGdvxT+PdfZjah6vTVnppI45ryr1mUbCujZFsZrz8/G0+y18XFlx7Hpv1asmFAAWsG5jNp8aIay5bEyvne1Lt5YvEb3LfgRW6d+9xXDf9Ld/z8ccrLKvCY02r6CogHz2N7WUXKjiGS2ZJsTk6uSflodx/s7kPC5auBV9y9P/AK/6t8ngT0D6eLgHvr2nFdP7kfDf/elky0Ipmoe+9ili5ajQFde3VKuvm1oE0B5a1z8Aqnwp1/TP+AHx13yJfr3538IfOmf8KBJ+xD4YA2lMbLieOUxit4d/2nKXseBUUJo1zl5pCba+zRvZhj91HtVpqRxmtSPg0YFs7/FZgCXBU+/jcPfrlPNbP2Zrabu9c4pmxdA1/MNLNc4EKNnSzZ7ua/XcT9Nz7Lh1Pm0DJezqdzltF7r+713r5dyxa0LMinPBYjLyeXPbt2/nLdtEnv8ZvRd1JWWs642/7F7a/+H50K27KmZBNmxgld9k3Z87j24Yu55cIHKC+v4Gd/OpdBhw+gVVGBzt9K8xJNwnXgRTNz4H53HwtSKak3AAAgAElEQVTsWplE3X2FmVV+8LsBiffIXBY+1rCEGx4gZmbFZlbg7mUNfRYi6daxuC3z3vyIdcvXsfbzdVxz+u2M+/j2em9fkJfL4xeP4oEp02jfqgWXHHvwl+tmTg7u4gOAw8fTFvHIdy5lyqoP6VjQmkM67ZGy5zHowL78bfYtKdufSFZKPuF2MrMZCctjw4Sa6DB3Xx4m1ZfMbF4t+6vuF26tUdW3F8di4L/hedutX+7Zvf7fViIZYP0XG7+8YH7T2s3E4/EaeyuvLdnKzLVL2aNdZ3Zv3RGAXsUduOmsE3cqe+Dx+/Cfh6ZQURHDDL526ABa5xdxSrchO5UVka+oYUM7rkk4L1v9bt2Xh39XmdmzwFDgi8qmYjPbDVgVFl8G9EjYvDuwvLb91zfhLg+nHKByDLss7JQtzd2oy0cw7vaJYDDygmNqTLartm/m5JfupyIeI+7Ow0d8m/079ai2LMCQ4/fhpvFXMG/6Jxxw3N70HNgtqqcgIqT+siAzawXkuPvmcP4EYAwwATgXuCX8W9kDcgJwqZmNAw4CNtZ2/hbqn3DnuvvfqwR3Vr2fiUiG+NaVpzLszIOIx+J071fzNbRvfrGIslgF22PlAIxf8n6tCRdg78MHsvfhA1Mar4jUIPVVvl2BZ8O+EHnAE+4+ycymA0+b2fnAEqAy900kuCRoIcFlQXXeQqy+Cfca4O/1eEwk43Xt3bnOMv3bFuPhJ7pFbj5fa79b1GGJSBq5+yJgp96N7r4WOLaax50kB4CqNeGa2UkEGbybmd2RsKotoIv+pMnau2NX/nTQGYz/7H2GdOrJWb33S3dIIpKgKY40tRyYAYxkx7GTNwM/iyookUxwTNcBHNM1dXcdEpEUypDxkZNR13W47wHvmdkT7l7eSDGJNHmxeJzcJMdyFpFQREM7Rq2+53CHmtkNwO7hNkbQhN0nqsBEmqLVm7dy7gN/57M16zlqYG/u+PZI8nKVeEWag/om3L8QNCHPJBjUWUQa4IEp01i6bgMOTFu0jCnzF3HcoH7pDksk+zThGu5Gd/9PpJGIfAUb12xi/J3/obBlAaddehItWmXmTeHzcnPCIRiDb4s8NSuLNEhT7DRV6VUzuxX4J1Ba+WBdtyISaQzuzk8Pv5YVi1aRk5vDe6/O4beTrk13WNW6aNhBzFj8OQtWruH4vfpx5IDe6Q5JJDs14YR7UPg3cVgsB45JbTgiySsrKWP5wpXE406sIsbcqR+nO6QatW9ZxNOXJHcfXhGpRlNNuO5+dEN2bmbDCW7Qmws86O63VFl/JPAnYB9glLv/I2FdDPggXFzi7iMbEoM0fYUtCtnjoP58+t5nYHDIqRq/WKQpM2/CTcpmtitwM9DV3U8ys0HAIe7+l1q2yQXuBo4nGOR5uplNcPe5CcWWAOcBV1Szi+3uPrh+T0Oau1tfvo5Xx71FYYsCjjzr4Lo3yHLr1mxh44attG5TRPGu7dIdjkjja2rX4SZ4BHgY+FW4/DHwFEHv5ZoMBRaGw2URDvB8GvBlwnX3xeG6eDJBi1RV2KKQ4d9rUEMMEJwHfnfyHDat28IhI/ajqFVhteXefGkOd9w4noLCfH51+yj23Ldng4/ZUHf+biIT/z4NL4+Rl5fD935yAmd897BGj0MkrbKwhlvfLpKd3P1pIA7g7hXUfXlQTTfnra8iM5thZlPN7OvVFTCzi8IyM1avXp3ErkV29OjN4/n16Lv580/+yk+Pu4lYbOffgBXlMX73i6fZtH4ba1Zu5Lc/H9foca5bs4X/PPcu8fLg41dREefReyY3ehwi6VbZrFzfKRPUN+FuNbNdCH9TmNnBwMY6tkn65rxV9AzvXfgt4E9m1nennbmPdfch7j6kuLg4iV2L7OjlJ9+iZFspJVtLWb7oC9Z8vm6nMnF34vH/JeKy0sYfTrywKD+8rOh/2nVo2ehxiKSdJzllgPom3MsJ7v3X18z+C/wNuKyObZK+OW+ihBsBLwKmABo9XiKz59C+5BflYzlGUatCOlRzXrSgII8LrzyJ3LwcCgrz+MmY06vd19RJ7/H0HS+w/NNV1a7/Klq1LuTa357JLt3aU9iygL4Dd2PMXd9J+XFEMlqStdtMqeHWt5fyu2Z2FLAHQc11fj3GVp4O9Dez3sDnwCiC2mqdzKwDsM3dS82sE3AY8Pv6bCvSED+/53x2v3MSG1Zt4vRLjqegML/acl8ffSinfPMgLMfIrWZIxn//9XUevOEZykoreOqOSTz41o106Nw2pbEecuQeHHLkHindp0jWyZAkmoz69lL+EfC4u88JlzuY2Tnufk9N27h7hZldCrxAcFnQQ+4+x8zGADPcfYKZHQg8C3QATjWzG919L2BP4P6wM1UOcEuV3s0iKVVQlM+3rjy1XmXz8nNrXDd10vuUbCv7cnnhB0s48NivfeX4RKSKpppwgQvd/e7KBXdfb2YXAjUm3LDcRGBilceuS5ifTtDUXHW7t4C96xmbSMY4ePg+fDh1AeXh+d2+e/eotlxZRQWrt2yjS9vWumuQSANkSjNxMuqbcHPMzMI73FdeY1sQXVgi0Zg2ezETJ3/I1wZ25RvD9yMnJ7XX8p187pF07NyOpQtWcvip+9Gx887ngpeu38DZD45je1k5PTu2Y9z559CyoPombBFpOuqbcF8Anjaz+wgq8hcDkyKLSiQCn3y2mmt+N57S0grenL4QwzhjROr74h1y0r4cctK+Na5/ZOq7bNy2nTiwbP0mXpm3kFP32TPlcYg0aU24hnsVcBHwQ4JOUy8CD0YVlEgUPl26lpzwkpqS0go+WriCdHR+79SqJfl5uZRWxHCgfcsWjR6DSFbLoJ7Hyahvwm0BPODu98GXTcqFwLaoAhNJtQO+1oOC/FwMiLlz0tHp6cz0/UOHsHD1OmYvXcHIffbk8L6777B+W0kZcz/7gp6dO9C5Q+u0xCgiqVffhPsKcBywJVxuQVDLPTSKoESi0KF9Kx778/eYNXcZfXp2olf3XdISR2FeHn84Y0S16zZvK+HsMY+yZXsZ8bhz78/OYJ8+uzVyhCJZIAtruPXtHlnk7pXJlnBew9tI1unQvhXHHLpH2pJtXd75aAmbt5WytaSM7WXl3PPYZNauWJ/usEQyTxMeaWqrme1fuWBmBwDbowlJpPnqVtyOuIffDhVxPn7hAy7Y90pWLEr9qFUi2crIzpGm6ptwfwr83czeMLM3CO4UVNfQjiKSpD177sr13z2e7oWFtPjoC/LeXUpZSTlvPz8z3aGJZJYsrOHWd2jH6WY2kP8N7TivHkM7ikgDnHjgQFou28Stj82g1CEvL5fd90zmRlsiTVwG1VqTUWvCNbNfuHvlGMZfd/e/J6y72d1/GWl0Is3U4V8/kE1rNzPtP7M5/PShHHD8PukOSSSzZGHCratJeVTC/DVV1g1PcSwiEjIzTr7gWG585uccP/qIdIcjknkialI2s1wzm2Vmz4fLb5jZ7HBabmbjw8eHmdnGhHXX1b7nupuUrYb56pZFREQaRYRNyj8BPgLaArj7l794zewZ4LmEsm+4+yn13XFdNVyvYb66ZRERkcYRQQ3XzLoDJ1PNSIpm1gY4Bhjf0JDrquHua2abCGqzLcJ5wuWihh5URESkwaLrefwn4BdAm2rWnQ684u6bEh47xMzeA5YDV1TewrYmtSZcd6/5xp8iIiJp0oAm5U5mNiNheay7j/1yf2anAKvcfaaZDatm+3PYseb7LrC7u28xsxEENd/+tQVQ36EdRSSN3J1FG9fTKj+fLq2q+/Et0swkn3DXuPuQWtYfBowMk2cR0NbMHnP30Wa2CzCUoJYbHD6hpuvuE83sHjPr5O5rajqA7nwtzdKqzVt4Y8Fi1m7JjvtvXDllEif/428c9eSDPD3vg3SHI5J2qR5pyt2vcffu7t6L4Aqdye4+Olx9FvC8u5d8eXyzLmbB7cfMbChBPl1b2zFUw5VmZ9HqdZx9/5OYBZff/POH36Z7h51vFF8f7s5/PvyYBV+s5aS9BzBg104pjhbWl2znuYUfUR6PA/CH6f/l7IF7p/w4IlmlcbvtjgJuqfLYmcAPzayCYKjjUe5ea1RKuNLs/OfD+WwvLyPukJ+bw8tzF3LeYQc0aF9PTnuP2158g5LyCv429V2ev+xcdmsXNPm6O+/NXMzmjds56PD+FBTmN+gYLfLyyc/JpTweJwfo0kq37JNmLuLhGt19CjAlYXlYNWXuAu5KZr9KuNLs9Ou8C4V5eWwvryAvJ4c+xR0bvK83F37G9vIKAHLMmLdi1ZcJ99GxU3jmsbcAo0evXbjjrxeSk5P8WZyivDweGXEGv377VdoXFnHLkSc2OF6RpsDIzoEglHCl2TlhUH9Wb97K6wsWc8Kgfhw5oHeD9zV8rwFMXbSEWNwxM/bu3uXLdS88N4uS7cGQ4599spq1qzdTvGvDmq6H7tadf33jOw2OU6TJycKRIJRwpdkxM0YfvB+jD97vK+9r5OA9KW7TioWr13LMwL7s0qolU1cuYXtFBf0HdWXjhq1UlMcoallAuw6tUhC9iGQrJVyRr+iQvj05pG9PAG6a9iqPz58NwAHDunJmn0PZsG4rZ333MAoK9HETSZUmd7cgEUnO0wveZ1tF0Iz81pol3Hfh6bTKL0hzVCJNUBYmXF2HK5JCe3QoJj8nhxygY1FLWuQ1rGeyiNShqd6AXqSpeHb2HP76ziz27FLMdSOOoUV+ahPi2GNP5/Z332RrRRk/GXwYOZZcX8oVn65i7tsfM/DAvnTrv1uN5bZuKWHVqk1077EL+fkagVWamaZ4A3qRpmT+F2u4YeJkSioq+GTtOtq1KOLqE45K6THaF7ZgzCHHN2jbpfOXc+nBvwSCa3j/OOVG+g7utVO5Txet4qcX/5V4PE5x57bc/eD5tGipZmtpZrIw4apJWZqNLzZvITcnqHGWVcRYun5jmiPa0TsTZ1FeVsH2LSWUbivjrQnTqy33z3HvsH1bKSXby1mzajPTpi5s5EhF0i/VQzs2BiVcaTYO6tWd7u3b0TI/n5b5+Vx42IHpDmkH/ffvRW5e8JEsaFFA/wP6VFuuuEs78vODxqm4O52KdTMDaYZ0DlckcxXm5fHMhd9i4eq17Nq2DR1btkh3SDvY96i9uObRH/Pf56Yz5IR9Ofjk6oebHPXtQ1m1ciPz5n7OiJH7s9fePRo5UpH0y5RaazKUcKVZyc/NZc8unRu0bSweJxaLU5Af3cfm0JFDOHRkbXcQg4LCPK745amRxSCS8TKo1poMJVyRepg5byk/+/N4ysorOP/Ug7nwtEPSHZJI85aFCTfSc7hmNtzM5pvZQjO7upr1R5rZu2ZWYWZnVll3rpktCKdzo4xTpC43//VltpeWE4s7D//7HdZvyo776Io0RYY6Te3AzHKBu4GTgEHAOWY2qEqxJcB5wBNVtu0IXA8cBAwFrjezDlHFKlKXwh2GZTTy8qL56JTGKrhn5jvc+MarfLZxQ53ly0rL+eS9z9i8fmsk8YhkLHWa2sFQYKG7LwIws3HAacDcygLuvjhcF6+y7YnAS+6+Llz/EjAceDLCeEVqNObC4Vx55wQ2bSvlZ6OOok3LokiOc/XkF5n4yceUx2KM//gj3j73Ioryqv+Ybtu8nUsPv451KzdgZvzhpWvps3fPSOISyTRW+73eM1KUCbcbsDRheRlBjbWh23ZLUVwiSevXvZhnf3d+5MeZsXI5pbEYANsrylm1dQs927Wvtuz0F99n7YoNlGwtBWD8PS9y+b0XRB6jSNplUK01GVGew61uTLv6vkT12tbMLjKzGWY2Y/Xq1UkFJ5KJTh8wiJZ5+bTMy6d7m7Z0bdO2xrKdunXEw1/5BUX57NqruLHCFEm7bDyHG2UNdxmQeIFgd2B5EtsOq7LtlKqF3H0sMBZgyJAhGfKSijTcz4YewgG7dWXd9m2c0Lsfiz9dTUVFnD0GdMGqjMu818H9ueA33+Q/D09h4IH9OOunI9IUtUgaZOE3fpQJdzrQ38x6A58Do4Bv1XPbF4CbEzpKnQBck/oQRTLHgveXcP9dk5jdoow2HVvzQftFvPXyfMyMo48ayC9+vnNCHfmD4xn5g4aN3SwijSuyJmV3rwAuJUieHwFPu/scMxtjZiMBzOxAM1sGnAXcb2Zzwm3XAb8mSNrTgTGVHahEGkusIsZ7r81l0fufRX6srZu28/vbx/B2+zWsrShn8ar1jJ/3MSWlFZSUlDPpxQ+Jxar2LRRpvtSkXIW7TwQmVnnsuoT56QTNxdVt+xDwUJTxSeaZNfkDFsxazMEj9qfnnunrJ+fuXDPiZua9s5B4LM73bz6Hb/w4uibb1z6cR7+fLWP2w3v8LwYzcnIM3OnYoWUwLyKBDEmiydDNCyRjvPHPd7ju9Ft5+P/Gcekhv2TFp6vSFsva5ev58M35wZ17tpfxj9ufj/R4v57/Nhjsf+g8cnJj5OTEOffYAzjisP4cfFA/br/1nJ3O4Yo0W0nWbptFDVckGW//ayal28oAKCjM56OpH7Nb74aNe/xVtenYmoLCPMpLy8nNz2X3QdU2xKRMmcGr8/fk6EEfsVvvVZzS9RcM6XYEnBHpYUWyV4Yk0WSohisZY+hJgylsWUhOjuHuDBzaL22xFLYo4LbJ13Pwyftz3OgjuOaxH0d6vN8PO5HF63fngf8eT+8WNwbJVkSqla1DO6qGKxlj2NmH0rJNCxbM+pRDTjmArn27pDWefvv15tcTrmqUYx3bqy9zLvgxDuTl6HewSJ000pTIVzP0pP0YetJ+6Q7jK3N34rE4uXm59d4mV4lWpN4ypdaaDH3CRVJs2aJVjD7wek7tdwV/+PkTX44GJSIpkuyNC5L4CJpZrpnNMrPnw+VHzOxTM5sdToPDx83M7gjvhve+me1f176VcEVS7KGb/8X61ZvxuPPmv2czb1b01/GKNDcWT25Kwk8Ixo5IdKW7Dw6n2eFjJwH9w+ki4N66dqyEK5JieQW5WPjJcof8/Po3K4tIPUVQwzWz7sDJwIP1KH4a8DcPTAXam9lutW2ghCuSYhdeexo9+3ehqGUBI887gn5796h7o2q4O0uXrGXjRt3sXqSqiHop/wn4BVC1TnxT2Gz8RzMrDB9L+q526jQlkmLFXTtw74s79m7+omQlL62cRNv8tpzY5WQKcwtr2DoQjzu/+uXTvPfeEgBuHHMGBx7YJ7KYRbKK05Beyp3MbEbC8tjwBjgAmNkpwCp3n2lmwxLKXQOsBAoIbpZzFTCGBtwRTwlXJGLl8TJu+ejXbI1tJc/yWFmygov6/qjWbRYvXs377y+ltLQCgIf+8poSrkiCBvRSXuPuQ2pZfxgw0sxGAEVAWzN7zN1Hh+tLzexh4IpwOek74qlJWSRiG8s3UhYvA5wKL+fTrYuqLefuTJowi1//8u/MeW8J8XjwjZKbm0NxcZtGjFgkC6T4HK67X+Pu3d29F8Hd7Sa7++jK87IWjK36deDDcJMJwHfD3soHAxvdfUVtx1ANVyRiHQt2YdeiXVldugoHDu1U/ShSb746j3tun0RJSTnT3lrIqHMP4/U35tOlS3sur+bWfCLNVeVIU43kcTMrDg87G7g4fHwiMAJYCGwDvlfXjpRwRSKWYzlcNfD/+GDjbFrntWVg2z2rLbdo4UpKSssBiMfitG1ZyF8eurAxQxXJDu6RjjTl7lOAKeH8MTWUcaD2c0NVqElZpBEU5hYypONBNSZbgCOOHkRRUT4tWxWQX5DLQYf1b8QIRSRqquGKZIg+/Xdl7OM/ZOH8FQzcqxudOrdNd0giGSsbh3ZUwhXJIF26tqdL1/bpDkMk8ynhioiIRE81XBERkag5EM++jKuEKyIi2Sf78q0SroiIZB81KYuIiDSGLLzPtBKuiIhkHdVwRUREopbEPW4ziRKuiIhklWAs5ezLuEq4IiKSfareIj4LKOGKpNj01UvYWFbCEV36UJirj5hIFFTDFWnm/vzh6zwwbyo5Zgxs35mnjvkuwW00k7Pi01XMnbqAPYb0oXv/3SKIVCSL6RyuiIz7ZBbbY8Et9j5Yt4I1JVspbtE6qX0smfc5lx1+PWaGx50/vHIt/Qb3iiBakWwV7e35oqLb84mk0F4dulCQk4sBrfIKaFfQIul9TJv0HhVlFWzfUkLp9jKm/ntW6gMVyXLmyU2ZQDVckRT60yFf544P32BD2XZ+OOhQCnJzk95H//17k5ufS0V5jIIW+fTfv3cEkYpkuSys4SrhiqRQ6/xCfrnfcV9pH/seuSdXP3IJbz8/kyEn7MtBJw1OUXQikk5KuCIZ6NBTD+DQUw9IdxgimcnBsvCyoEjP4ZrZcDObb2YLzezqatYXmtlT4fp3zKxX+HgvM9tuZrPD6b4o4xQRkSzjntyUASKr4ZpZLnA3cDywDJhuZhPcfW5CsfOB9e7ez8xGAb8Dvhmu+8Td1ZYmIiI7y4wcmpQoa7hDgYXuvsjdy4BxwGlVypwG/DWc/wdwrDXkokWRJsjLF+ClbxN8fEQkkbknNWWCKBNuN2BpwvKy8LFqy7h7BbAR2CVc19vMZpnZa2Z2RIRximSc+LZn8LVn4Bsuwdeeg3ss3SGJZBY1Ke+guppq1WddU5kVQE93X2tmBwDjzWwvd9+0w8ZmFwEXAfTs2TMFIYtkiK1/AUqCT0NsIcQ+hbx+6Y5KJDM4WTmWcpQ13GVAj4Tl7sDymsqYWR7QDljn7qXuvhbA3WcCnwADqh7A3ce6+xB3H1JcXBzBUxBpPMu2rmf4i3cy+Lmb+OOSfYGCcI1Bjt7fIpWM5JqTm0OT8nSgv5n1NrMCYBQwoUqZCcC54fyZwGR3dzMrDjtdYWZ9gP7AoghjFUm7m96fxNKt6ymNV/DY5635OHYWFAzDOjyC5bRLd3gSsVhFjJu/dx+ndbuEq0+7jZKtpekOKbNlYZNyZAk3PCd7KfAC8BHwtLvPMbMxZjYyLPYXYBczWwhcDlReOnQk8L6ZvUfQmepid18XVawija28rIIxP36Mrx94I9dd8jfKSsuJeRwPz7oYhrf6ATkdx2IF6qzfHLz+7Aymvfg+pdvKmPPOQp4b+0q6Q8psWZhwIx34wt0nAhOrPHZdwnwJcFY12z0DPBNlbCLp9PKEWcz870JKS8qZPfUTJv1jBteMPJHzNn7BmpItfGP3wQxst2u6w5RGVF5e8WUnF4875WUVaY0no0V4DjdsXZ0BfO7up5jZ48AQoByYBvzA3cvNbBjwHPBpuOk/3X1MbfvWSFMiaVBeFsPDX93uTnl5jN5tOvHaSZcTdydHV8c1O8O+MZQXH3uTOVMX0K3vrpx20THpDimjRXhe9icErbJtw+XHgdHh/BPABcC94fIb7n5KfXeshCuSBsefth8vP/cuC+Z8To8+nRl+xpAv1ynZNk8FRfncNvEqyssqyC/QV3OdIki4ZtYdOBm4ieA0Z2VLbeX6aQQdgBtE/1WRNGjRqpA7nrpEX66yE70f6qNB52U7mdmMhOWx7j62Spk/Ab8A2lTd2Mzyge8Q1IArHRL2NVoOXOHuc2oLQP9ZkTTSl6tIAzgNSbhr3H1ITSvN7BRglbvPDM/PVnUP8Lq7vxEuvwvs7u5bzGwEMJ7gipoa6Qb0IhEoKavgrbmL+WTF2pTve9Xy9Yz97fOMu3cypSXlKd+/SFaIJznV7TBgpJktJhiK+BgzewzAzK4HigmbmQHcfZO7bwnnJwL5ZtaptgPo57VIipWVVzD690+wYt0m4nHn+tHHM3zIwJTsu6I8xk/PupuNa7eQm5fLwrmfc+2d30nJvkWySao7Tbn7NcA1AGEN9wp3H21mFwAnAse6+5ep28y6AF+EY0cMJajA1voLWzVckRRbsHwNK9ZtYltpOSXlFTw2+d2U7XvT+q1s2bideHjZyEezlqRs3yJSrfuAXYG3w9vFVl7aeibwYXgO9w5glHvtvwJUwxVJsS4d2hAPP3cFebns0T11wzK279SaHn2KWf5Z8EN62Cn7pmzfIlklwsEs3H0KMCWcrzZPuvtdwF3J7FcJVyTFdmnbinsv/QaPvDSDnp3bc8kph6Vs3zk5Ofxh3CW89dKHtG7bggOHpaapWiSrOBDPjNGjkqGEKxKBwX278ae+Ve9GmRpFLQs45rT9I9m3SHbInOEak6GEKyIi2UcJV0REpBEo4YqIiERM53BFREQag4NHdLugCCnhiohI9lGTsoiISMTUpCwiItJIsrCGq6EdRZqJles3M+nd+Xy2an26QxH56tyTmzKAargiWaY0Vk4cp0VuQb23WbZmA2f//nEcJ+7OQ5edxV49u0QYpUiUMieJJkMJVySLvL7qA8bMeYK4x/l+nxMZ3euYem335keLKY/FKKuIAfDyewuVcCV7ORDPvl7KalIWySK3z3+WsngFFR7nL4teoCRWVq/tBnQtJscMgKKCPPbs3jnKMEWipyZlEYlSUUIzcm48h5KtZRS1rbtpef++3bjl3BG8NPtjDhrQk+MH948yTJHoZUgSTYYSrkgWGbP3d7jhg8fYuriM+F/yOKf0zxx9wte48v9GYmENtiZH792Xo/fu20iRikTJs/KyIDUpi2QQd6e2e1gPaNONJw69in5v9KR0WwWxWJw3Xv2IxZ+sasQoRdLMwT2e1JQJlHBFMsQ7S5ey/533MOiPd/DorNm1lm3ZqpCcnKBG6+4Utah/j2URSQ8lXJEMcdV/XmBzaSnlsRg3T57C1rKaO0RdduVJ9B3QhXbtW3L+JceyW7cOjRipSAaIe3JTBtA5XJEMYVjiwo7LVXTetR13P3xBI0QlkqGysNOUargiGeK2EcPp2KIFLfLyuOG4Y2lZkJ/ukEQyk/v/t3f/wVKVdRzH3x+5QHlVaMRBRizJ0EatUNAySzG1rFTK0Ukyw6bGqUHDtJq0mbQmZrRm0FGkxhQzIhFBJ8Ysf5Oo8UPMIsUf+KPxKoHj/6EAAAi4SURBVIQmFDABXfj2x3lW19u9tNc4e3bP+bxmdu7Z3ec5+33unZ3vfc6P75Pdh9ufRwvwDNesRYwduQ9Lz/1a0WGYtYc2nOE64ZqZWduJFpm19ocPKZu1mW3d21m/btMObx8yK7d+Vplqke+KZ7hmbWTN6vVM+cpMNmzYzOgD9+bH13yRQYP8NbaKadP1cD3DNWsjc2c9zPp1m+j+9zZeePYVljz0TNEhmRUjtvfv0QJyTbiSTpT0lKRVkr7Ty/uDJd2c3l8iab+69y5Krz8l6RN5xmnWLjp3G0xHxwAAgqCzc3DBEZk1XwCxPfr1aAW5JVxJA4BrgE8CBwETJR3Uo9mXgXUR8R7gCuDy1Pcg4AzgYOBEYEban1mlTZz0EcaMG8XQd+zKyaeO49DDRxUdklnzRbTlDDfPkz9HAKsi4jkASXOACcATdW0mAJem7XnAdGUV2CcAcyJiC/C8pFVpf3/IMV6zlrdr52CmTptYdBhmhWuVWWt/5HlIeR/gxbrnXem1XttERDfwD2DPBvuamVlVeYb7Jr3Vpev5L0lfbRrpi6RzgHPS0y2S/tKvCNvbMODVooNokiqNFTzeMqvSWAEOzGOnG1h35z0xb1g/uxX+e88z4XYB+9Y9Hwm83EebLkkdwBDgtQb7EhHXAtcCSHokIsbttOhbXJXGW6WxgsdbZlUaK2TjzWO/EXFiHvvNW56HlJcBoyWNkjSI7CKoBT3aLAAmpe3TgPsiu5t/AXBGuop5FDAaWJpjrGZmZrnKbYYbEd2SzgXuBAYAMyPicUk/AB6JiAXA9cCsdFHUa2RJmdRuLtkFVt3A5IjYllesZmZmecu1RE1E3AHc0eO179VtbwZO76PvVGBqPz7u2rcSYxur0nirNFbweMusSmOF6o13h+R6rGZmZvlzaUczM7MmKEXC/V8lJMtE0kxJa6twC5SkfSXdL2mlpMclTSk6pjxJepukpZL+lMb7/aJjypukAZL+KOn2omPJm6QXJK2Q9FheV++2CklDJc2T9GT6/h5ZdEytoO0PKaeSj08DJ5DdTrQMmBgRT+ywY5uSdDSwEfhFRBxSdDx5kjQCGBERj0raHVgOfKbEf1sBnRGxUdJA4EFgSkQsLji03Ei6ABgH7BERJxUdT54kvQCMi4jC7wfNm6QbgUURcV26S2XXiFhfdFxFK8MM9/USkhGxFaiVkCyliHiA7Iru0ouI1RHxaNreAKykxBXHIrMxPR2YHu39H/EOSBoJfBq4ruhYbOeRtAdwNNldKETEVifbTBkSrstAVkBaSepQYEmxkeQrHWJ9DFgL3B0RZR7vlcC3gdaou5e/AO6StDxVySurdwOvADek0wXXSeosOqhWUIaE21AZSGtfknYD5gPnR8Q/i44nTxGxLSLGkFVXO0JSKU8bSDoJWBsRy4uOpYmOiojDyFZQm5xOD5VRB3AY8JOIOBTYBJT62ppGlSHhNlQG0tpTOpc5H5gdEbcWHU+zpENwC8mWpyyjo4BT0nnNOcDHJP2y2JDyFREvp59rgdvIToeVURfQVXd0Zh5ZAq68MiTcRkpIWhtKFxFdD6yMiGlFx5M3SXtJGpq23w4cDzxZbFT5iIiLImJkROxH9p29LyK+UHBYuZHUmS78Ix1e/ThQyjsNImIN8KKk2sIFx/HmZVkrK9dKU83QVwnJgsPKjaSbgPHAMEldwCURcX2xUeXmKOAsYEU6rwlwcapgVkYjgBvTlfe7AHMjovS3y1TEcOC27H9IOoBfRcTvig0pV+cBs9Mk6DngSwXH0xLa/rYgMzOzdlCGQ8pmZmYtzwnXzMysCZxwzczMmsAJ18zMrAmccM3MzJrACdcqTdJ308o8f06ruHxwJ+334Z20n1OauQKWpHGSrmrW55lViW8LsspKS4ZNA8ZHxBZJw4BBtYpA7UhSR0R0Fx2Hmf03z3CtykYAr0bEFoCIeLWWbCWNlfT7VGj+zrRUIJIWSrpC0gNpnc/DJd0q6RlJP6ztWNLG9HN82s9cSU9LukzSmWnd2xWS9k/tTpa0JBV7v0fS8PT62ZKmp+13Sbo3zcbvlfTO9PrPJU2TdD9wef0AJe0naZGkR9Pjw+n1z6bPkaQRKba9U7y3pzbHpFn/Yymu3fP8Y5iVnROuVdldwL4p2cyQdAy8Xr/5auC0iBgLzASm1vXbGhFHAz8Ffg1MBg4Bzpa0Zy+f8wFgCvA+sspZB0TEEWTL0p2X2jwIfCgVe59DtopOT9PJ1kF+PzAbqD/0ewBwfERc2KPPWuCEVDT/c7U+EXEbsCbF/jOyimVrevT9JjA5LabwUeBfvcRkZg1q+9KOZm9VWuh9LFkyORa4OZ0vfYQsgd6dSvENAFbXda3V6l4BPB4RqwEkPUe2kMbfe3zUsro2z5Il+lr/Y9P2yPT5I4BBwPO9hHwkcGrangX8qO69WyJiWy99BgLTJY0BtpEl5przyOr5Lo6Im3rp+xAwTdJs4NaI6OqljZk1yAnXKi0lqYXAQkkrgEnAcrJEemQf3bakn9vrtmvPe/tO9WxT37/W/mpgWkQskDQeuLSR8Ou2N/XR5hvA38hm2bsAm+ve2yfFMFzSLhHxpnVpI+IySb8BPgUslnR8RJRyMQWzZvAhZassSQdKGl330hjgr8BTwF7poiokDZR0cM7hDAFeStuT+mjzMNnKOgBnkh2GbmS/q1MyPYtsto6kDuAG4PPASuCCnh0l7R8RKyLicrJZ/3sbG4qZ9cYzXKuy3YCr05J43cAq4JyI2CrpNOAqSUPIvidXAnmuQnUpcIukl4DFwKi692oz2a8DMyV9C3iFxlZgmQHMl3Q6cD9vzIQvBhZFxKK0EtOyNJutd76kY8kORT8B/Lb/wzKzGt8WZNbCJF0I7BERlxQdi5n9fzzDNWtRkr4KnM0bF0qZWRvzDNfMzKwJfNGUmZlZEzjhmpmZNYETrpmZWRM44ZqZmTWBE66ZmVkTOOGamZk1wX8AgZVqUsmEW8gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3360c13ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = matched.query('num_of_obs > 400')\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.scatter(x.a, x.e, c=x.num_of_obs, marker='.')\n",
    "plt.colorbar()\n",
    "plt.xlabel('Semimajor axis')\n",
    "plt.ylabel('Eccentricity')\n",
    "plt.xlim(0, 6)\n",
    "plt.ylim(ymin=0)\n",
    "plt.title('Objects with more than 400 observations')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "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>a</th>\n",
       "      <th>e</th>\n",
       "      <th>inc</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>7640</th>\n",
       "      <td>3.152425</td>\n",
       "      <td>0.018999</td>\n",
       "      <td>9.164101</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             a         e       inc\n",
       "7640  3.152425  0.018999  9.164101"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matched.query('number_mp == 6072')[['a', 'e', 'inc']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "hh = obs.query('number_mp == 6072')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3361babbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "plt.errorbar(hh.epoch, hh.g_flux, yerr=hh.g_flux_error, color='k', linestyle='', marker='.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "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>Period</th>\n",
       "      <th>AmpMin</th>\n",
       "      <th>AmpMax</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4133</th>\n",
       "      <td>4.268</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.67</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Period  AmpMin  AmpMax\n",
       "4133   4.268    0.63    0.67"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lcdb.query('Name == \"Hooghoudt\"')[['Period', 'AmpMin', 'AmpMax']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "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>solution_id</th>\n",
       "      <th>source_id</th>\n",
       "      <th>num_of_obs</th>\n",
       "      <th>number_mp</th>\n",
       "      <th>denomination</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1313</th>\n",
       "      <td>4166707207534977073</td>\n",
       "      <td>-4284906576</td>\n",
       "      <td>531</td>\n",
       "      <td>6072</td>\n",
       "      <td>hooghoudt</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              solution_id   source_id  num_of_obs  number_mp denomination\n",
       "1313  4166707207534977073 -4284906576         531       6072    hooghoudt"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sources.query('denomination == \"hooghoudt\"')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
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