transaction_analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import of libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from datetime import datetime, timedelta\n",
    "import matplotlib.pyplot as plt\n",
    "from math import log, exp\n",
    "from sklearn import preprocessing, cluster\n",
    "import seaborn\n",
    "from sklearn.decomposition import PCA\n",
    "import matplotlib as mpl\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "from sklearn.neighbors import kneighbors_graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Loading csv-file with data by addresses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "addresses_analysis = pd.read_csv('addresses_analysis.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Filtering data by wallets (without contracts) and calculating 4 fields"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = addresses_analysis[addresses_analysis['is_contract']==False][['count_from',\n",
    "       'count_value_non_zero_from', 'max_value_from', 'mean_value_from',\n",
    "       'sum_value_from', 'max_gas_from', 'sum_gas_from', 'min_gas_from',\n",
    "       'mean_gas_from', 'max_gasPrice_from',\n",
    "       'count_non_zero_gasPrise_from', 'sum_gasPrice_from',\n",
    "       'mean_gasPrice_from', 'min_gasPrice_from', \n",
    "       'count_to', 'count_value_non_zero_to',\n",
    "       'max_value_to', 'mean_value_to', 'sum_value_to', 'max_gas_to',\n",
    "       'sum_gas_to', 'min_gas_to', 'mean_gas_to', \n",
    "       'max_gasPrice_to', 'sum_gasPrice_to',\n",
    "       'mean_gasPrice_to', 'min_gasPrice_to']]\n",
    "data.loc[:,'count_value_zero_from'] = data['count_from'] - data['count_value_non_zero_from']\n",
    "data.loc[:,'count_value_zero_to'] = data['count_to'] - data['count_value_non_zero_to']\n",
    "data.loc[:, 'percent_count_value_zero_from'] = data['count_value_zero_from']/data['count_from']\n",
    "data.loc[:, 'percent_count_value_zero_to'] = data['count_value_zero_to']/data['count_to']\n",
    "data.fillna(0,  inplace=True)\n",
    "data = data.drop(['count_value_non_zero_from', 'count_value_non_zero_to'], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some intresting data description"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count_from</th>\n",
       "      <th>max_value_from</th>\n",
       "      <th>mean_value_from</th>\n",
       "      <th>sum_value_from</th>\n",
       "      <th>max_gas_from</th>\n",
       "      <th>sum_gas_from</th>\n",
       "      <th>min_gas_from</th>\n",
       "      <th>mean_gas_from</th>\n",
       "      <th>max_gasPrice_from</th>\n",
       "      <th>count_non_zero_gasPrise_from</th>\n",
       "      <th>...</th>\n",
       "      <th>min_gas_to</th>\n",
       "      <th>mean_gas_to</th>\n",
       "      <th>max_gasPrice_to</th>\n",
       "      <th>sum_gasPrice_to</th>\n",
       "      <th>mean_gasPrice_to</th>\n",
       "      <th>min_gasPrice_to</th>\n",
       "      <th>count_value_zero_from</th>\n",
       "      <th>count_value_zero_to</th>\n",
       "      <th>percent_count_value_zero_from</th>\n",
       "      <th>percent_count_value_zero_to</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>938179.000000</td>\n",
       "      <td>938179.000000</td>\n",
       "      <td>938179.000000</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>938179.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>9.381790e+05</td>\n",
       "      <td>938179.000000</td>\n",
       "      <td>938179.000000</td>\n",
       "      <td>938179.000000</td>\n",
       "      <td>938179.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>6.818968</td>\n",
       "      <td>337.523847</td>\n",
       "      <td>142.763860</td>\n",
       "      <td>4.932842e+02</td>\n",
       "      <td>9.548456e+04</td>\n",
       "      <td>8.776413e+05</td>\n",
       "      <td>5.330836e+04</td>\n",
       "      <td>6.832453e+04</td>\n",
       "      <td>2.979146e+10</td>\n",
       "      <td>6.818968</td>\n",
       "      <td>...</td>\n",
       "      <td>5.741180e+04</td>\n",
       "      <td>6.182371e+04</td>\n",
       "      <td>2.771796e+10</td>\n",
       "      <td>9.244928e+10</td>\n",
       "      <td>2.589096e+10</td>\n",
       "      <td>2.456224e+10</td>\n",
       "      <td>1.674435</td>\n",
       "      <td>0.006632</td>\n",
       "      <td>0.121987</td>\n",
       "      <td>0.000131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>789.922353</td>\n",
       "      <td>1006.124510</td>\n",
       "      <td>448.632919</td>\n",
       "      <td>7.595915e+03</td>\n",
       "      <td>2.262316e+05</td>\n",
       "      <td>8.840114e+07</td>\n",
       "      <td>9.754639e+04</td>\n",
       "      <td>1.182467e+05</td>\n",
       "      <td>2.087869e+12</td>\n",
       "      <td>789.922353</td>\n",
       "      <td>...</td>\n",
       "      <td>9.595865e+04</td>\n",
       "      <td>9.994814e+04</td>\n",
       "      <td>2.352758e+11</td>\n",
       "      <td>3.637090e+12</td>\n",
       "      <td>2.342607e+11</td>\n",
       "      <td>2.341083e+11</td>\n",
       "      <td>201.556584</td>\n",
       "      <td>4.110995</td>\n",
       "      <td>0.303186</td>\n",
       "      <td>0.008723</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.233996</td>\n",
       "      <td>0.197000</td>\n",
       "      <td>3.459763e-01</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.200000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.000000e+10</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>2.000000e+10</td>\n",
       "      <td>2.100000e+10</td>\n",
       "      <td>2.000000e+10</td>\n",
       "      <td>2.000000e+10</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.999685</td>\n",
       "      <td>1.334536</td>\n",
       "      <td>2.883376e+00</td>\n",
       "      <td>9.000000e+04</td>\n",
       "      <td>1.000000e+05</td>\n",
       "      <td>2.100000e+04</td>\n",
       "      <td>4.400000e+04</td>\n",
       "      <td>2.100000e+10</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>2.100100e+04</td>\n",
       "      <td>2.520100e+04</td>\n",
       "      <td>2.100000e+10</td>\n",
       "      <td>4.000000e+10</td>\n",
       "      <td>2.100000e+10</td>\n",
       "      <td>2.100000e+10</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.000000</td>\n",
       "      <td>33.030659</td>\n",
       "      <td>23.772272</td>\n",
       "      <td>5.175216e+01</td>\n",
       "      <td>9.000000e+04</td>\n",
       "      <td>1.530000e+05</td>\n",
       "      <td>8.000000e+04</td>\n",
       "      <td>9.000000e+04</td>\n",
       "      <td>2.360746e+10</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>9.000000e+04</td>\n",
       "      <td>9.000000e+04</td>\n",
       "      <td>2.500000e+10</td>\n",
       "      <td>5.544000e+10</td>\n",
       "      <td>2.310000e+10</td>\n",
       "      <td>2.200000e+10</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>472284.000000</td>\n",
       "      <td>485705.459750</td>\n",
       "      <td>164475.658972</td>\n",
       "      <td>4.165314e+06</td>\n",
       "      <td>6.758383e+06</td>\n",
       "      <td>4.250556e+10</td>\n",
       "      <td>6.719771e+06</td>\n",
       "      <td>6.719771e+06</td>\n",
       "      <td>2.000000e+15</td>\n",
       "      <td>472284.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>4.048262e+06</td>\n",
       "      <td>4.048262e+06</td>\n",
       "      <td>2.000000e+14</td>\n",
       "      <td>1.938234e+15</td>\n",
       "      <td>2.000000e+14</td>\n",
       "      <td>2.000000e+14</td>\n",
       "      <td>159259.000000</td>\n",
       "      <td>3612.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8 rows × 29 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          count_from  max_value_from  mean_value_from  sum_value_from  \\\n",
       "count  938179.000000   938179.000000    938179.000000    9.381790e+05   \n",
       "mean        6.818968      337.523847       142.763860    4.932842e+02   \n",
       "std       789.922353     1006.124510       448.632919    7.595915e+03   \n",
       "min         1.000000        0.000000         0.000000    0.000000e+00   \n",
       "25%         1.000000        0.233996         0.197000    3.459763e-01   \n",
       "50%         2.000000        1.999685         1.334536    2.883376e+00   \n",
       "75%         3.000000       33.030659        23.772272    5.175216e+01   \n",
       "max    472284.000000   485705.459750    164475.658972    4.165314e+06   \n",
       "\n",
       "       max_gas_from  sum_gas_from  min_gas_from  mean_gas_from  \\\n",
       "count  9.381790e+05  9.381790e+05  9.381790e+05   9.381790e+05   \n",
       "mean   9.548456e+04  8.776413e+05  5.330836e+04   6.832453e+04   \n",
       "std    2.262316e+05  8.840114e+07  9.754639e+04   1.182467e+05   \n",
       "min    2.100000e+04  2.100000e+04  2.100000e+04   2.100000e+04   \n",
       "25%    2.100000e+04  2.200000e+04  2.100000e+04   2.100000e+04   \n",
       "50%    9.000000e+04  1.000000e+05  2.100000e+04   4.400000e+04   \n",
       "75%    9.000000e+04  1.530000e+05  8.000000e+04   9.000000e+04   \n",
       "max    6.758383e+06  4.250556e+10  6.719771e+06   6.719771e+06   \n",
       "\n",
       "       max_gasPrice_from  count_non_zero_gasPrise_from  \\\n",
       "count       9.381790e+05                 938179.000000   \n",
       "mean        2.979146e+10                      6.818968   \n",
       "std         2.087869e+12                    789.922353   \n",
       "min         1.000000e+00                      1.000000   \n",
       "25%         2.000000e+10                      1.000000   \n",
       "50%         2.100000e+10                      2.000000   \n",
       "75%         2.360746e+10                      3.000000   \n",
       "max         2.000000e+15                 472284.000000   \n",
       "\n",
       "                  ...                 min_gas_to   mean_gas_to  \\\n",
       "count             ...               9.381790e+05  9.381790e+05   \n",
       "mean              ...               5.741180e+04  6.182371e+04   \n",
       "std               ...               9.595865e+04  9.994814e+04   \n",
       "min               ...               2.100000e+04  2.100000e+04   \n",
       "25%               ...               2.100000e+04  2.100000e+04   \n",
       "50%               ...               2.100100e+04  2.520100e+04   \n",
       "75%               ...               9.000000e+04  9.000000e+04   \n",
       "max               ...               4.048262e+06  4.048262e+06   \n",
       "\n",
       "       max_gasPrice_to  sum_gasPrice_to  mean_gasPrice_to  min_gasPrice_to  \\\n",
       "count     9.381790e+05     9.381790e+05      9.381790e+05     9.381790e+05   \n",
       "mean      2.771796e+10     9.244928e+10      2.589096e+10     2.456224e+10   \n",
       "std       2.352758e+11     3.637090e+12      2.342607e+11     2.341083e+11   \n",
       "min       1.000000e+00     1.000000e+00      1.000000e+00     1.000000e+00   \n",
       "25%       2.000000e+10     2.100000e+10      2.000000e+10     2.000000e+10   \n",
       "50%       2.100000e+10     4.000000e+10      2.100000e+10     2.100000e+10   \n",
       "75%       2.500000e+10     5.544000e+10      2.310000e+10     2.200000e+10   \n",
       "max       2.000000e+14     1.938234e+15      2.000000e+14     2.000000e+14   \n",
       "\n",
       "       count_value_zero_from  count_value_zero_to  \\\n",
       "count          938179.000000        938179.000000   \n",
       "mean                1.674435             0.006632   \n",
       "std               201.556584             4.110995   \n",
       "min                 0.000000             0.000000   \n",
       "25%                 0.000000             0.000000   \n",
       "50%                 0.000000             0.000000   \n",
       "75%                 0.000000             0.000000   \n",
       "max            159259.000000          3612.000000   \n",
       "\n",
       "       percent_count_value_zero_from  percent_count_value_zero_to  \n",
       "count                  938179.000000                938179.000000  \n",
       "mean                        0.121987                     0.000131  \n",
       "std                         0.303186                     0.008723  \n",
       "min                         0.000000                     0.000000  \n",
       "25%                         0.000000                     0.000000  \n",
       "50%                         0.000000                     0.000000  \n",
       "75%                         0.000000                     0.000000  \n",
       "max                         1.000000                     1.000000  \n",
       "\n",
       "[8 rows x 29 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe()\n",
    "\n",
    "# data.columns\n",
    "\n",
    "# data[(data['count_from']<=15) \n",
    "#      & (data['count_to']<=15) \n",
    "#      & ((data['sum_value_from']>=333) | (data['sum_value_to']>=333))].describe()\n",
    "\n",
    "# data[(data['count_from']<=15) \n",
    "#      & (data['count_to']<=15)].describe()\n",
    "\n",
    "# data[(data['count_value_zero_from']<=1) \n",
    "#      & (data['count_value_zero_to']==0)].describe()\n",
    "\n",
    "# data[data['count_value_zero_from']>0].describe()\n",
    "\n",
    "# addresses_to_analysis.describe()\n",
    "\n",
    "# addresses_to_analysis[addresses_to_analysis['count_from']>=50000][['address','is_contract', 'count_from']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Histogram of addresses in terms of turnover txn(sum of value txn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZkpDkDQHi6StJbweTHhqrgWeH5ve22tgNB8iSJUvYvn37q9PDX3umzzjjjNdt2wCSNKlO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\ndTM0JEndDA1JUjdDQ5LUzdCQJHX7/0OYkMHJSyjgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa475a4d780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(data['sum_value_from']+data['sum_value_to'],range=(15.0, 8000.0), bins=500, fc='k', ec='k')\n",
    "mpl.rcParams['figure.figsize'] = (20.0, 7.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Bar diagramm of addresses by turnover \"from\" txn (value sum \"from\") for 'count_from' and 'count_to' <= 15"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qa++0uqusvdPqrrL2Tqu7yto7re4qa6u7+to7re4qa2+Xut/c3bsONNF2OSn3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c6ae9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[(data['count_from']<=15) & (data['count_to']<=15)]['sum_value_from'].value_counts()[:10].plot(kind='bar')\n",
    "mpl.rcParams['figure.figsize'] = (20.0, 7.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Intresting data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Count of addresses sum_value_to between 3000 and 3100:    105355\n",
      "Count of addresses sum_value_from between 3000 and 3100:  105346\n",
      "Count of addresses sum_value_to between 1000 and 1100:    76176\n",
      "Count of addresses sum_value_from between 1000 and 1100:  76113\n"
     ]
    }
   ],
   "source": [
    "print ('Count of addresses sum_value_to between 3000 and 3100:   ', \n",
    "       len(data[(data['sum_value_to']>=3000) & (data['sum_value_to']<=3100)]))\n",
    "\n",
    "print ('Count of addresses sum_value_from between 3000 and 3100: ', \n",
    "       len(data[(data['sum_value_from']>=3000) & (data['sum_value_from']<=3100)]))\n",
    "\n",
    "print ('Count of addresses sum_value_to between 1000 and 1100:   ', \n",
    "       len(data[(data['sum_value_to']>=1000) & (data['sum_value_to']<=1100)]))\n",
    "\n",
    "print ('Count of addresses sum_value_from between 1000 and 1100: ', \n",
    "       len(data[(data['sum_value_from']>=1000) & (data['sum_value_from']<=1100)]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logarithmic, filtered and standardized data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data_log = pd.DataFrame(columns=data.columns)\n",
    "for i in data.columns:\n",
    "    data_log.loc[:,i] = data[i].map(lambda x: -10 if x <=0 else log(x))\n",
    "\n",
    "data_X = data_log[['count_from', \n",
    "      'sum_value_from', 'count_to',\n",
    "       'sum_value_to']]\n",
    "X = np.array(data_X)\n",
    "scaler = preprocessing.StandardScaler().fit(X[:100000])\n",
    "standardized_X = scaler.transform(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clustering to 1000 clusters with K-Means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "km = cluster.KMeans(n_clusters=1000, \n",
    "               n_init=3, \n",
    "               max_iter=100, \n",
    "               tol=0.0001, \n",
    "               precompute_distances='auto', \n",
    "               verbose=0, \n",
    "               random_state=None, \n",
    "               copy_x=True, \n",
    "               n_jobs=1, \n",
    "               algorithm='auto')\n",
    "\n",
    "km.fit(standardized_X[0:500000])\n",
    "# KM.predict(standardized_X)\n",
    "cluster_centers = scaler.inverse_transform(km.cluster_centers_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster number  0  count: 581\n",
      "Cluster number  1  count: 11436\n",
      "Cluster number  2  count: 139\n",
      "Cluster number  3  count: 7286\n",
      "Cluster number  4  count: 3392\n",
      "Cluster number  5  count: 3998\n",
      "Cluster number  6  count: 70\n",
      "Cluster number  7  count: 237\n",
      "Cluster number  8  count: 3839\n",
      "Cluster number  9  count: 111\n",
      "Cluster number  10  count: 249\n",
      "Cluster number  11  count: 263\n",
      "Cluster number  12  count: 1859\n",
      "Cluster number  13  count: 3038\n",
      "Cluster number  14  count: 64\n",
      "Cluster number  15  count: 421\n",
      "Cluster number  16  count: 18399\n",
      "Cluster number  17  count: 442\n",
      "Cluster number  18  count: 860\n",
      "Cluster number  19  count: 451\n",
      "Cluster number  20  count: 932\n",
      "Cluster number  21  count: 359\n",
      "Cluster number  22  count: 368\n",
      "Cluster number  23  count: 1772\n",
      "Cluster number  24  count: 236\n",
      "Cluster number  25  count: 53\n",
      "Cluster number  26  count: 2104\n",
      "Cluster number  27  count: 17\n",
      "Cluster number  28  count: 89\n",
      "Cluster number  29  count: 150\n",
      "Cluster number  30  count: 706\n",
      "Cluster number  31  count: 38799\n",
      "Cluster number  32  count: 15\n",
      "Cluster number  33  count: 180\n",
      "Cluster number  34  count: 450\n",
      "Cluster number  35  count: 1665\n",
      "Cluster number  36  count: 223\n",
      "Cluster number  37  count: 19\n",
      "Cluster number  38  count: 369\n",
      "Cluster number  39  count: 1563\n",
      "Cluster number  40  count: 101\n",
      "Cluster number  41  count: 249\n",
      "Cluster number  42  count: 1555\n",
      "Cluster number  43  count: 1428\n",
      "Cluster number  44  count: 83\n",
      "Cluster number  45  count: 216\n",
      "Cluster number  46  count: 100\n",
      "Cluster number  47  count: 208\n",
      "Cluster number  48  count: 97\n",
      "Cluster number  49  count: 8763\n",
      "Cluster number  50  count: 1691\n",
      "Cluster number  51  count: 363\n",
      "Cluster number  52  count: 1240\n",
      "Cluster number  53  count: 173\n",
      "Cluster number  54  count: 393\n",
      "Cluster number  55  count: 275\n",
      "Cluster number  56  count: 286\n",
      "Cluster number  57  count: 159\n",
      "Cluster number  58  count: 86\n",
      "Cluster number  59  count: 26464\n",
      "Cluster number  60  count: 8\n",
      "Cluster number  61  count: 89\n",
      "Cluster number  62  count: 5083\n",
      "Cluster number  63  count: 1159\n",
      "Cluster number  64  count: 1066\n",
      "Cluster number  65  count: 208\n",
      "Cluster number  66  count: 369\n",
      "Cluster number  67  count: 49\n",
      "Cluster number  68  count: 400\n",
      "Cluster number  69  count: 14\n",
      "Cluster number  70  count: 253\n",
      "Cluster number  71  count: 119\n",
      "Cluster number  72  count: 1058\n",
      "Cluster number  73  count: 394\n",
      "Cluster number  74  count: 3655\n",
      "Cluster number  75  count: 7\n",
      "Cluster number  76  count: 2289\n",
      "Cluster number  77  count: 2143\n",
      "Cluster number  78  count: 6513\n",
      "Cluster number  79  count: 957\n",
      "Cluster number  80  count: 500\n",
      "Cluster number  81  count: 292\n",
      "Cluster number  82  count: 59\n",
      "Cluster number  83  count: 635\n",
      "Cluster number  84  count: 6866\n",
      "Cluster number  85  count: 9\n",
      "Cluster number  86  count: 140\n",
      "Cluster number  87  count: 728\n",
      "Cluster number  88  count: 68\n",
      "Cluster number  89  count: 585\n",
      "Cluster number  90  count: 204\n",
      "Cluster number  91  count: 173\n",
      "Cluster number  92  count: 382\n",
      "Cluster number  93  count: 48\n",
      "Cluster number  94  count: 1887\n",
      "Cluster number  95  count: 84\n",
      "Cluster number  96  count: 28\n",
      "Cluster number  97  count: 250\n",
      "Cluster number  98  count: 85\n",
      "Cluster number  99  count: 52\n",
      "Cluster number  100  count: 39\n",
      "Cluster number  101  count: 63\n",
      "Cluster number  102  count: 4\n",
      "Cluster number  103  count: 365\n",
      "Cluster number  104  count: 1615\n",
      "Cluster number  105  count: 161\n",
      "Cluster number  106  count: 243\n",
      "Cluster number  107  count: 132\n",
      "Cluster number  108  count: 10\n",
      "Cluster number  109  count: 187\n",
      "Cluster number  110  count: 291\n",
      "Cluster number  111  count: 1209\n",
      "Cluster number  112  count: 2265\n",
      "Cluster number  113  count: 25\n",
      "Cluster number  114  count: 511\n",
      "Cluster number  115  count: 103\n",
      "Cluster number  116  count: 57\n",
      "Cluster number  117  count: 92\n",
      "Cluster number  118  count: 41\n",
      "Cluster number  119  count: 395\n",
      "Cluster number  120  count: 54\n",
      "Cluster number  121  count: 97\n",
      "Cluster number  122  count: 634\n",
      "Cluster number  123  count: 1363\n",
      "Cluster number  124  count: 144\n",
      "Cluster number  125  count: 10\n",
      "Cluster number  126  count: 48\n",
      "Cluster number  127  count: 433\n",
      "Cluster number  128  count: 177\n",
      "Cluster number  129  count: 707\n",
      "Cluster number  130  count: 86\n",
      "Cluster number  131  count: 720\n",
      "Cluster number  132  count: 976\n",
      "Cluster number  133  count: 48\n",
      "Cluster number  134  count: 19\n",
      "Cluster number  135  count: 1285\n",
      "Cluster number  136  count: 382\n",
      "Cluster number  137  count: 220\n",
      "Cluster number  138  count: 52\n",
      "Cluster number  139  count: 160\n",
      "Cluster number  140  count: 31\n",
      "Cluster number  141  count: 79\n",
      "Cluster number  142  count: 470\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "n_clusters = 1000\n",
    "cluster_centers_km = pd.DataFrame(km.labels_, columns=['cluster_number'])\n",
    "\n",
    "for i in range(n_clusters):\n",
    "    print('Cluster number ',i,' count:',len(cluster_centers_km[cluster_centers_km['cluster_number']==i]))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cluster centers to DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_centers_df = pd.DataFrame(data=cluster_centers, columns=data_X.columns)\n",
    "cluster_centers_df_exp = pd.DataFrame(columns=cluster_centers_df.columns)\n",
    "\n",
    "for column in cluster_centers_df.columns:\n",
    "    cluster_centers_df_exp[column] = cluster_centers_df[column].map(lambda x: exp(x))\n",
    "    \n",
    "# cluster_centers_df_exp.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cluster centers in two-dimensional logarithmic space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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df//y/d9vyNAZ6lxxxeJqY53PdfZs8i/+RfKVr5RZUy23314qfr7ylXLfO+7o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\nyYc/3O9Hx/CYACeWcdQW4fcCAOA4mapxdVX9VJL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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43b99c4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = PCA(n_components=2)\n",
    "model.fit(cluster_centers_df)\n",
    "result = model.transform(cluster_centers_df)\n",
    "\n",
    "mpl.rcParams['figure.figsize'] = (20.0, 12.0)\n",
    "plt.plot(result[:,0],result[:,1],'bo', ms=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cluster centers in two-dimensional source space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AABhCEQUAAADAEIooAAAAAIZQRAEAAAAwhCIKAAAAgCEUUQAAAAAM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\nGEIRBQAAAMAQ/weVup76+Ft/8gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43b987e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = PCA(n_components=2)\n",
    "model.fit(cluster_centers_df_exp)\n",
    "result = model.transform(cluster_centers_df_exp)\n",
    "\n",
    "mpl.rcParams['figure.figsize'] = (20.0, 12.0)\n",
    "plt.plot(result[:,0],result[:,1],'bo', ms=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Paired plot of cluster centers in the logarithmic space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YY7jY4ZCkGzfslZwNM0uwZHPwTst9145OyHyhAFh0Gcfp+tg8meg1KlyZY8ZX\nF8g4JohIiea2eSiFgDVzy7Hz8AXl99/+azksTjcWbpAMrwffqMM9Uwrwz1/NQm3VOKSF8T4bdWTw\n+BLyWteUK14j2SAVBAajVh3Wqx/KSxtqG/extw7i328twR0TR+DBN+rC6lpHon3dH0UJ6bPlQf//\nRCQXEUQsCTfXjze1Y6hRi9/cU47Plk/Hz267Cos31WPsEzvw+JZDWHpLCXLSdHjsrYMYPtQQcv6b\n9dENleot0bQGnVE8V1xpt7kBxM5zDABX5aej7ptLMTs/QRA9E5TA5fDg7X1nMHN8PhbNKEZDUyds\nThE//bO/esKSzfVKsshL8yoGnWpIXwi81p12N17/7KRf4qPvLkAkaizhtnGHDzXgh+v2dKtrHYn2\ndX8VJbQqAc/cOQEjM40402qFTiWAMTKMiYFFqHmiVwuwO0U8tFFKft619HtY9la937xb/vZB1FaN\nw+1rP4HVkVxqTL32HDPG/trde5zz70arUfEm1mEVgGQcn7tsQ5s3+Y8giMTg64kGA9493IiZz3+s\n6BgPywjtwSjKNWP3iRas//xkkA7nmpreay8PJuRrbXV68OAbdVi963jYkIlIvLRhwx0cnh69z5HG\nEfd158Lq8uChjftw46qPcOXPtuPGVR/hoY37qDw0MSAJnCc2l8cvTGpkpjHsujq5MBNtNmfIankC\nQ0KqwPamQp4egBFANmNsKLoS79IBDI9h2+JGuxxWEVPjWErK++rbdnx3TFbMvocgiN4TKuHP4qPB\nK+Mbl7z2gwYsml6El++V9Hsbmjqxec9pP/1awp/eGKShvPqCAIBBSt7x8diG6rc1c6VwmJ68T/HS\nCx+MRXsIQiYwTEou/hE47860WvH83HI89c5XAIDn7irF8KEGnG6x4ql3vkJju6PX8onRpDcrwYMA\nlgAYBqAOXcZxO4DfxahdcaXN5oJRq4Imhjp6V+enAwC+ukDGMUEkCyG3A70VmgL1aeVs68mFmehw\nuPGwV35IZveJVtI6DkNvDVLZ+ySKHDZv+EMo5YrAfrM43PjDpyfR0GwJKtgS6H2Ol174YCzaQxAy\ngeP/hQ8bsLK61E/lZ21NOQxaNf6894xSSnrpLWP9QqMAhA17iiW9KQKyBsAaxti/cc5/G4c2xZ12\nuwvp+th5jQEgJ02HbLMW/zhPSXlEbOlPRa9kJNb/n0B5vE6HG5v3nFY8GHKs7PZDFzBtTBZWVpci\nTR8+eWw2uw4XAAAgAElEQVSgXf/+IF8Lgyb4gaM7g7Q3ccGBEn1rP2gIWbDF6JMAJ7cn09RVua+v\nfdRTPw/Goj0DFZrToenuugSO/+YOB3QqAc/fU46cdJ20M8SkImw7jzRCLTBMLsxEQVbo8At5xyVe\nfdFrM5xz/lvG2DUACn0/xznfEPVWxZk2myum8cYAwBjD1cOG4DAZx0QM6U9Fr2Qkmv8f30XV6fLA\nJXK/ssYqlSDFtnEoyXkbPj+F2ePz8chNxbj/ujEQGKBVC2G9gnaXBxZHeI/nYELqOwcWew3ixTOk\nUBSzvmeDVA5JqCobhkXTi5TS4QaNtLvn8YiwujxK/2m8N9bdJ1qw7cB5bDtwHktvLsaPrhuthGUY\n1ELIin2ZRk2vb7a+Y6jT0X2CIZWHHhgMtDU1WoS6Li/Nm6TswIscyDJLhX6MWhVsTlGKK373KAQG\nPP0vEyByIM0gPagaNCrYXJ5uE/OMGlXc+iKShLw3AKwCcB2Ayd5XZVRbkyDabC6kG2Lvrh8/LB3H\nGztgp4QMIkb0p6JXMhKt/4+vfNcbu0+h3e7GAxskua8HNtShxeKE2y1Kx2zYi5IVO7Dz8AXcNiEf\nS96s79LStTpxyeLEp8ebsWZueVDymChiQF3//mB1erDYp0Lc6l3H8eAbdbA6PH6JbaE0h61ODxbP\nKMKyW0tQu+0ISlbsQO22I3795Nt/7XY31s2vUPpj6c3FSplwRa7N6sSmPd8E9Y3F6emVrFugBNyD\nb9ThjokjcNuE/LD9HMvqfUR8GGhrarQIvC45aTq4RBFWlxutVqcihfnAhjo0tjuwYushLHvrIH5+\n+1X4+fevDjqm1erEHz49iRVbD2FldWBinrTjEs++iMQirARwNec8KmmDjLFTADoAeAC4OeeVAX9n\nANYAuA2AFcB9nPN90fjuQNptbgzL0Mfi1H5MGD4EbpHj6LcdKBuZEfPvIwYfAy0JKFr/H99F9cV5\nk/ziheUS0q/Mr4DF4cbGn0xFQ1MnzDqVUmpaPu6xtw5i9d1lmHZlNtL1mi6viEuUtssZBtT17w9G\nXZi+89GDFkWODrsLl6wujMw04mKHA0ONGph1atx37Wg8+Eadfz9tkvopsF/k/ls3vxJGnRSD/MCG\n4M/WVo3D6l3H/dpj0ql7JesmGfv+oR6yFNW2A+dTqp8pTKD3DLQ1NVoEXpdF04vQaZeM1Me3HPKb\nJ//+nwfw4rxJSNNr0GF3weEWlUJK8jHy/HzhwwZwDvxx4dSuypdqlVcPPX59EUkG2mEAV0T5+6dz\nzssDDWMvswEUe18PAHgxyt+t0GaLfcwxAIwfPgQAcOhcW8y/ixic9KeiVzIib7H5Ikt2RYLvoppu\n0IRcYE06NR7fckjxUmrVAvLSdUHH5Q3R4+GN+zB2RZfX2aARYPXZEgxqb4pe//7QXd/Jnlm724MO\nh1u57o9vOYQOhxsOjwhzmLjucMVCTF75qB+u2wOjNvQxxXlmfP30bdi55AZUlQ0Lqo4oHxd4s/V4\nxLDGflGuGTuX3ICjT86GpZtqe8lCJEVQiIG3pkaLwOtSlGvGyExjWMm2NL0GJSt24OGN+yAwhFxb\ni/PM+Pn3r8JP/3xQ2a2zONywuz3KjlK8+iIS4zgbwD8YYzsZY9vkV9Rb1MUPAGzgEn8HkMEYy4/F\nF7XbXTGVcZMZMdSAIQYNDpNxTMSI/lT0SkYEAUFbbCurSyWJrwjwXVTbba6QC+zpFmvAdl09ltw8\ntsfjHt1Uj4YmCxau3wuPKAZVRUvl698fBBa67yxOt7INKooIW4q7u/LL4d6XPbuybFTgMadbrMrD\nz09nleDFeZOw8/CFoON8b7YejwiL04PTLdaQ5+y0u5XQD/lhKZkNTQoTiIyBtqZGi8DrcqbVqrxC\nzZOGps4e19Z2m8svFEs+tqndITkh1ELc+iKSsIraKH83B/AeY4wDeJlz/krA34cDOOPz+1nvexcQ\nRTwiR4fdHfOEPEBKypswfAh5jomYMdCSgPQaFVbtPKqoDzQ0dWLVzqNYfU95ROcxalSKWsJ/1Z/D\nmrnleHSzr3JCl86mzJenWlGQZcS0MVk9HicXCHlo4z78/r7KAXP9+wUD0nTqoApxT23/Sum/bkMv\nOEKqPRjUqqD+WzO3HAaNCuvmV6LN5sT7/2gMknRbWV2K59496meEr5tfgZqpo7D7RGtIRQlR5LA4\npcS/X/zX4RAyceVY//nJXoVlJAsUJhAZA21N7Q9+4TguDzKNGqybXwmDVoVv22zQa1Tg4EGSbb5S\nmEDotfXXd5fBHGZXaGSmEfNe3YN1Cyrj1heRqFX8LcrffR3n/BxjLBfA+4yxf3LOP470JIyxByCF\nXaCgoCDiRnTapdLR8fAcA8CEEUOw7uMTsLs80A/yJ8/BRn/Ham8JlCZLZSwONxrbHZj5fNfSMG1M\nFiwON9IiCIUSBIYso1Yp3HHZ6sBL91YgTS+pHagYQ2O7w+8zUgiAGy/Nq0CaQe0N5eAhj5O35r88\n1Qq9RiVV30PqXv9ojFW9Ror9lXG4Rax+/xiaOxxSUp5eHT4z3fv3LJNWiSOW4w9lY0WWYrM43Pj0\neDP+bVO9YgTfPiEf7xy6gGfunICCLCOsDg9WbD2kaKkCshGuhlGLsDdb2RDosLvQ2O7Aqve6HtTO\ntFph0koScr4ku6E5kPSXaU2NH+FUO/QaAfNelXSJq8qGYfmsEmQau+Zth92N9Z+d9Jt78k5P19x2\nY8XWw3j4xqKwBZjkeSUntwKx7YtI1Co6GGPt3pedMeZhjPVZl4xzfs77bxOAvwCYEnDIOQAjfX4f\n4X0v8DyvcM4rOeeVOTk5EbcjHqWjfSkbISXl/eMCSboNNvo7VgcjRq0qqKTos3NK+2R8qFSCUtY0\nw6iF7GxgjEFgCFKf+PXdZWizuWDWq9Fpd4OD47VPT4ZszwsfSgbSQIlFjMZYtTo9UKsEGLUqzHt1\nD25f+wmaOxx+YTFGrSpEGEq5X//KccTlv3wPP35dio9ljCFNr4Hd5UFLpxO3jsvHO4uvx8xxeVAx\nhqw0He6qGImcNB24yAGG0A8/Tk9YRQlR5BAAtFqd2PD5KTw7pxTNHQ7cvvYTzHt1D4xaFS5ZnSkX\njzqQwgRoTY0f4cJxVIwpa+L2Qxfwdt1ZuEUOo06F0y1WbN1/FndWjPAbb2tqpJ2ec5dt+N1fj8Pq\n9GBMtgkvfNgQdn2N97yKxHOcJv/sVZL4AYDv9uVLGWMmAALnvMP7860Afhlw2DYAjzDGNgOYCqCN\ncx7VkApAijcGgHR9fJ4GZZWKg2cuY1LB0Lh8J0GkKjaXiK37z/qFVWzdfxb3Xz8GZl3kFS0FgYXR\nyiyHTi0oOryNbXav8SOtD60WJzKMGiy4phDrPz+F2qpxKM41K1q3coGQVDUyYoFBLcDmdGPzF6eV\n/uu0u7G1/izunVYIQOqPTKO/F1i+fp0ON4xaFdweEauqS3HFEAMamjqxac83uP/6MTB6PdOPbzmk\n6CjPnVLgF26xsroUaTo1zDp1RAU5ZC+ZfP7dJ1rQ0GxR/h9Wp6StrFFHVtwkGaAwAaIvhAvH0WtV\n2Lr/LJ67qxTDMvRo6XTiwTfqukKeasph1KikXTtvOIZJq8bxpk7sPHwBd0wcgc1fnFbUaVa/fxSr\n7y5D3hA9TrdYsfr9o2jucMR9XrH+KLMxxvZzzif24XNjIHmLAclA/xPn/CnG2EMAwDl/yWuA/w7A\nLEhSbj/inO/t7ryVlZV8795uDwnis4aL+OGre/DmA9/F1DiUdeacY+rTf8W1Rdn4TYRxk0TUSPhd\noC9jdTAiZSi74RY50g0atNtcUAsMRm3fNWM77W4s3LDXb+tu2pgsPHPnBGhUAvIz9Lhw2QYO+MXN\nrawuxVCjFnaXGxlGHc60WnFFug5ujlgaGSk7VjsdbixcH/o6Z6fplDLRvoVC5AcVrUrAQxv3+V37\nv37ViFuvvgJ5Q/RKda1XPzmhSLPtXHIDarcdCft9BrXgVzhELvzSXds3/mQqSlbsUCrvAYBaYDj2\n1GwldIZk0QCk8DglekfgfK4qG4alt4xVwpYEBjg9op9MJiDNwZfmVWD/6VZcPXyI34Pks3NKsXX/\nWcwcn4/iPDMuWRzxWFt7dZJeu0sZY3f6/CpA0j22R9goAADn/ASAshDvv+TzMwewqC/njwQ5rCJe\nMceMMZSNzMCBM5fj8n0EkcpwLsn3+CVf1ZQrupeRIIocdrcnbBJYQZYRv/vrcfzoutEYYtD6GdBd\nCVyVGGrSobHNjqFGDbRqFfRCascXxwqjVoW8dB12LrlB8fq/+FEDCrKMUjo2AKvTrWSnA1Cy05+5\nc4Lfe1vqzob0CtdMKUBDswXbDpxHUa45bDIPY0BLp/9uwZqacmSZtIpGtSAwRS7KqJOS+zq9yhjd\nxedSPCoxGPAtB52XrsOymSV+zoM1c8uRbdaFlnEzqDFxVCYeCtAtl3XCi3LNaGyzw6RTgwHINGmh\nUQnQex9eEzGvItmX/B8+r5mQCnj8IBaNiiftcY45BoDykRk4cdGiGOYEQYTG6vIoBR98pdOsLk9E\nclnyNnlTuyOkJNfiGUVot7nwyE3FYAAMWiGsisLYJ3Zg6X8egNMjKucOrPBGAHaXB8tm+le4Wzaz\nBHZvnC8AGLvJTvdl5vh8v3GQk6aD28ORlabDL38wDlVlw8LKt51ptfrJvIWS4OuqvOdQqnYt3LAX\nLo8nZCXEZA6bIIhYoITjzK/Ek3dMCJJgfHRzPdrt/jKZVWXDsGvp9wAAKsZCahsX5ZphcbihFhge\nfKMOY1dI1SdbrS54PGLC1tZeG8ec8x/5vBZyzp/yJtOlNPH2HAOScQyAvMcE0QPdFXyIRJdVTiYZ\nmWnE87uO+SV9yKWGH964z2sUSVq1i2cU+Z1jcmEmzl2y+elvWp0eKqgQhrAaxj6XxhpGs/hMq9Xv\nPV+vcFXZMCy7tQSPbzmEsU9IRQV+/v2rkJuuw5qA5L6V1aXIMGrCxkvKEnyLN+2Hze0J0lj9tz/V\ngwN4cd4kHHtqNtbNl6SkBmHYBEFI454BhjDzyaxTK2vrHeXD8NNZXfN04Ya9WDazBFVlw5TPyKoV\nnHMs3hyob9z70u4x+b/29kDG2AjG2F8YY03e19uMsRGxbFw8aPPGMJriKL1TOmIIGAP2nb4Ut+8k\niFQkXMGHhqbOXilWyF5do1aF2qpxOH/Z5ifJdfTJ2Zh/TWFI7/SCa0cHZVj/9atG5dyyJ5kKKoSm\np/LRosjhFjl+fXeZ/3WeW44Mo0a5wX607EbYnF3jYNH0Iix/+2DANa9Hm9UFFWP47b9OVAzZTKMW\nu7++iIYmS9hxVFU2DLVV48I+iGWbdZLzhANmfd9j3QliIGDUqsLu0nzdbFHW1lDe5cfeOoilt4z1\ne3jlnEOjCl2NVC7tnoi1NZJAjj8A+BOAau/v87zv3RLtRsWTyzYXhhg0YCx+C16aXoOSvDTsP02e\nY4LoDt/iHYFJHMOHjuk2Fi2kLufccqyqLsOytw7g9rWfYHJhJv64cGpYL4ivpi3nwOwJ+Zj33VH4\nutmCnYcvwOrw+Hk0F00vQlGuGTanFPYxmA0pq9OD39aUY9qV2Uoy5e6vLyrxulaXBxs+P4WaKQV+\nhUK0agEnL3ZiVXUptGoBm/acRs2UAqWwQHexxfNe3YOX5lXgh+v2+I2XD/4ZXBTk2TmlONHcgSfv\nGA+zV+968YwiJcEP6PJiywmE8YaS/Yhkw+r0YOfhC0Hzac3ccmz+4jS2H7qA5g5H2HW1IMuIo0/O\nRkNTJ557V1KieObOCfjZbVdhVXUZvm624IUPG9Dc4VD04xOxtkYy23M453/w+f11xtiSaDco3rTZ\nXBhijF9IhczEgqF45+D5QX8DJYjuUKkEZBq6pL5kA6tm6qge4z59dTkBb7LX5nqsqi5Vqjp12t3o\nsIdOumpo6lSKj6gFhn/+ahbOXrJBSGPQqQXMv6YQakE6NidNh2W3lgRUT5s4qLfg9SoB1xfn+Ck9\nXF+coyTZGLUqzByfr2ynysjZ7e12qZRsbdU4LN5cj5w0HWqrxsEWpoiFXCjArFcrBQkWTS/C8KEG\n3DFxOLbuPydJ8OVJknKfNTSjYlSmv+zUXElBaO0HDUrSn1mn9quYFy9jNVzRhSyTFgDIaCYSglGj\nQs3UUdi05xupQJJejXa7C2atGvOvKcQjM4rR4XAru36B8/R4Y6dfUSe1wDAy04gXPjiO+dcUoijX\njF/dMR4qBrz26UkljCrea2skCXktjLF5jDGV9zUPQEuPn0py2r2e43gzsSAD7XY3TlzsjPt3E0Sq\nIIocl2wuPLChTokvrSjMRKZR0+PCGC7OND/DAKNOhTOtVuw/3QqzLrjQyMrqrsIegJSw12p1KvFz\nj2855E0UkUocL71lbIit/sEdXuEWRVidHiWW++GN+2B1euAWpURGq8MT1gts1qsxfKhBiQv+8lQr\nth04j5nPf4yf/eVQt4UC5FCJZbd2JQM+vHEfZnwnT/L2ez3X1xXnBIfTbK7H/GsKlbCMoUYt0ryF\nQWRjNV4xkOGKLtjdFOdOJA45Me8nN4yBWa/C2Us2PLxxH77zi3fx8MZ9OHvJBrNOFbKA0/Nzy7Hz\nsH+5ismFmbA5PZhTMRIPb9yHkhU78NAbdbC6PFhwTWHC1tZIjOP7AdwN4FsAFwDcBeC+GLQprly2\nupCRAONYLgCy7xsKrSCIcIQyEB7dVA+bW+z5s14Poy+TCzNxusWqGLhXDxuCVotTKTRy9MnZeO4u\nyVvY3OFQFvUF14zGo5uC1RL0WhUMGhVGZhpCx9cmcRnhWOMSeUjj0yVyiCKHRxQVqTRfZANXTtYL\njG/cduA8tu4/i1fmVyhGrEoAinJMWFMj3XxDxSUvf/sg7rt2tKR37PSEjTH2LUtu8NFCDmesxuom\nHe7hThRBce5EQpBzOMAAj8jRYXeHnGcddjdsTtFvXa2tGod937Ri7tSCoAfbDrsLy946gN0nWnDb\nhHzUVo1DlkkHQWAJW1sjCav4JYAFnPNLAMAYywSwCpLRnLK02Vy4MscU9++9MseEoUYN9n7Tirsn\nj+z5AwQxCDFqVZg1Pg8vzpukxK3+V/25Xi2Mvrqcvtq4z717VDFwrU4PRmYaMHdqgV9c88afTPGr\nymfWq/1iiwO3+dbUlIeMV/XVwx1sdKs04vTgoY378OANo5WqhFaHBxanJOn0x79/g/uvG42V1aXY\nUndWiROXr/eCawphc3rwwIaukIjn55bj3CUr5k4pQFYYvVW5FLgcohM2xtisgzmgamo4YzVWN2lr\nmPCRsImOg/hBjIg9Ho8Ii1MK5emwuZFmkOZsYCJdXrpOKtSkU+G+a0fj9c9O4nZvmNKzc0qRadT6\nra2r3juK39xTji9PtSbV2hrJmUtlwxgAOOetjLGIq+MlG20JCqtgjKFiVCb2niLFCoIIh9Plwezx\n+XjYp1ramrnlcLo80Gu7X758dTmNOhWsDg9WbD0EAPhs+XQl2Wvm+HwU55rxyvwKGLUqnGm14WKH\n06/a2s4lNyiGiq9XEoDizX753grsPtGaMmWEY024mEOLQzJO89J1KMlP94v5XVldCp1ajZ9cPwZ6\nrQoiBxZcUwgAfkl7jDHFKw1IfbBksxSfnGnSosOrtxr43Z12qdz3zPH5KMo1475rR6M4z4ydRxqx\n5Gap2len3Q2DJnhTNZyxGqubdKiHu7U1E2F1xLcdBCGKHC1WJzbvOY07Jo7wM15XVpdC5NKOTlXZ\nMPx01newcEMd8tJ1WHLzWDxyUzHuv240AOCT481IN2QHVbJcestYTC7MTKq1NZKZJDDGhgZ4jlN6\nJooiR7vdhSFGbUK+f3LhUOz6qhEXOx3INut6/gBBDDJ8t+YBKFvzr8yvgL6HzyrJUzoVTrdYYdKp\nMCbbhDsmjoDLw/F2XfBCv6q6DEONGrhEUVFH+PJUK3YevoA1c8vx6Ob6buNk1y2opCQpLxqB4cV5\nk3DZ6lKM2gyjBhqBwer0YMnNY7H0zQNBVQifuXMCAODm1X9TPEeb95z28xx9/fRtIfugONeM061W\nrH7/WHA2fU05PmtoDurzF+dNQmVhZkAJ6+CEn3DGaqxu0srDXcCYAhDXdgxUSAmk91hdHjzqTY4N\nNF7lObv90AUsvWUs/v0/DyAnTYelt/h7gFffU4ZpV2Zjw+engubmEIPGW7Ey/I5PvNfWSIzbXwPY\nzRh7y/t7NYCnot+k+NFhd4Pz+FbH86XSG0e391QrZo3PT0gbCCKZ6W5rvjtCZfqvqi7D/dePwcL1\ne7HxJ1Mxc3x+0EK/7K0DeOneCvzbn7rUEWQpN71GwIvzJoVVS/D13JEHD9CoBVyyufD4lkN+N8g0\nvRoaDhRkGbutjucbY15bNQ4NzRZFzimsZ9jhxlCjBs0dDqx+/yieuXMCCrKMsDrcMGhVGJOTFtTn\nl61SG/1LWO/HuvmVfqEV4YzVmGbMhylNHe92DDS6UwKh6xiMHFIUzjFQkGXEsadmK7+/s/j6oHm2\n9M0DeObOCVi96zgami3K2mpxusFFDs4Rdl4nYm2NpELeBgB3Amj0vu7knL8Rq4bFg7YElI72Zfzw\ndOjUAr6k0AqCCEm4IiAWh7vbz/kmT8kJHlcM0YNzjlnj89Bhd6E4L/RCn+aNL5bVEa782XbcvPpv\nMOnUUAsC9BoBzweVFC6HwECKAT5YnR7FMywbukvfPACr0wOHR1Qk9HyRY35lfVNA6pMrc0x+6hMb\nPj8VVNb52TmleP2zk2i3u1FbNQ6/vrscBq0KFocbRp0aNqeIkUMNQTGSIzNDG+lGnQqiN3lQLmFr\ndXkNUSYZreEMqViXFJeN5p7aQYQm3smVqY4cUtQRUB4a6ApX4pzj3CUbJhdmdqtFDkBZW0tW7IDJ\nGx5n0qph1qlDrq0GjRD38tERmeCc838A+EeM2hJ3LtucAJAQtQoA0KlVKB+ZgT0nU14RjyBigkGj\nUsIZfGOODT1sIcuejsAEj8UzipRS0bVV48LGxAa+v3hGEVosTiVpb/GMIrw0T0okO9NqhdMtYvGm\nveR98kGOK9655AYl+ebFjxqkhDyHByeaO4IKvKysLoVeI2D1/z2mnEf2HPl6ouQQi5fvlfSv5cSe\n7YcuYNGMYpSs2CH19dQCv6S9ldWlWPH9q5QYSQA402oNOQ5Ot0iJeTavIdXlYSyHSaeGXhPaa0te\nyeQn3smVqY4UUlSONG956MBiOq9/dhLzrymEUavCyurSsHOqw+7yO+/kwkx822aDVi1gsTevJHBt\nFTlQsuLduM+jSKTcBhyK5zgBRUBkpl2ZhSPn29FmdfV8MEHEkFh7u/qC3eVB3TeteHHeJBx7ajZe\nnDcJdd+0wt6Dh0dOWgqU9Jo5Pl+JYX7hw4YgHc5V1WVQMYY/LpyKj5bdiDvKh0lSbtf6S7mt3nUc\nD22sw5lWKwTG8Oy7R/10aJPtOiYCu9ODZTO7vL21245g2cwS2J0eGLQChmUYsXnPaTx3V6lfuWe1\nIPjJ6K2ZWw5ziPCatR80KIbxzOc/xrYD572GtBvHnpqNH13X1Wfy7kH+EAPUgoAnbr9KOX+GUYO1\nNcFe6Od3HQtTHrweTe2OsBrDifZKJuM8TjbCyTxaneQ5DodBo4LV5cHW/Wfx4rxJijzbqveOYvWu\n47hsdeGRP+3Hc+8ehUbFgubUquoyaFUCvn76NuxccgOW3lyMZ+eUQmAMi8OsrWoVw1PvfBWk8x2P\n8T2oA+MSHVYBSNWgnt91HHtOtuDWcVckrB3E4CZZvV0CY5gwIsNPrWJltbSghkPW0F1ZXYr8If4a\nmb7bfbLnUK6adu6SDWa9Ck0dDmX77/+rGgeVSgjraSrIMmLJ5nrlXHnpOqkMcQ/JXYMBkXNsqTvr\nJ9u0pe4s7r9uNKxOD978QlIKGZZhwPHGTuw8fAELrhmNDZ+f8vvM5i9OY/41hSE9Uecv2zA8w4Cv\nn74NZ1qtSDeo8enxZlxfnKPEq4eusFWOo0/OwvnLdmz4/BTuv36MooYhe6GbOxx+5cFl5O1h3xv2\nugWVSixkIr2SyTqPk414J1emOlaXBxanByatCo/cVAyrw4N//896bK0/rxwjhye5Ra4oV8hra4fN\nDbNeUgJ6ftcxNLY7sKamHBqVgCEGTdi1dembXWsrEN/1lYxjJC6sAgDKCzKg1wj4/GsyjonEEbLU\ncsBNPxHotSqs+stRf13MnUex+p7ysJ+xuiQN3Zw0HX75A//QCbmghG954aJcM9ptLpj1anTY3X4J\nZCurSzHUqEVzuyOkcdbS6cCi6UX4zT3laGjqRIZRo3hBgOS5jonAoFVhTsVIP33iVdVlMHiNxEDV\niGfnlMKsV2HtBw1+yhRqgeF/Ti8KCq9ZVV0GnYZh4Ya9fooU067MxsINdUrYjLx7kJOmwzuLr1cS\nLNWCG9c/96HyPXOnFmDeq3v8brpqAdi19HuK0fzChw1o7nCg0+5GVdkwbDtwPsjw7a3kWyzUEpJ1\nHicbiUiuTGUMGgE2J7AwIEQpXHiSvLYW55rRYXdj/ecnlZLsz84pxar3juLRTfV45s4JEBgLK7s4\nJtvkF5YVz/V1UM+Wy95QhvQEGsc6tQqVozLx9xMUd0wkjmSNwbM43Ghsd2Dm8x8r700bkyVp5WpD\nJyLJ/xe3d7vNN0ZOlmTb/MVp1EwpgMW7jXrZ6kKGUYMtdWeDZIrWza+EWxSDYu1+c4/k+ajddsTP\nIxmY8JUM1zERWJ0epeoV0KUG8sr8CgAIymZf/vZBvDK/IuSN0u4SoRKAl+6tgFmnxrdtNpj1UgJP\nbdU4vPBhA7YdOK/ccOWwmVXVZbhiiB556cHSUmtryvHZ8um4YogBDU2dyDT6G0sGtaCUDPfTYVYJ\nWP/5SSyaXuQTytFl+PbGKxkrD2+yzuNkJJwSCBGM1ekJMkp9JdwmF2ZiqFGjyC7KaysHcMniRM2U\nArqM/lEAACAASURBVDQ0W7DtwHksf/sgaqvG4fa1n2BkphEvfHAcz88txxLfvJKacqgFFlScKZ7r\n66AeEe02F3RqAfoEb6VcU5SF5949iqYOO3LTelJvJYjoE+8CB73FoFaF1Mpt7rCDpRtCts33/yJ7\nNWRJL5vTA4fLg59cPyak4TOnYoSf11JWLTDqDLhw2YbVd5chb4gejW12mPVqLFy/N8CLIRlnvtuN\nyXAdE0FPMnzh/hboIV5ZXYqf/UUq3vLYzBKYdSpo1AIe8ike8uycUgDA9kMXUJBlxNdP34aGpk68\n/49v8S8TR2DJzWODjHG5r0pW7FBuyFkmreJFlLywwQbBc3eVYu0HDVg0o9ibTe9v+PbGKxkrD2+y\nzmMitQk3lwuyjDj65GxYHG4IDOBuhF1bl88qUXZainLNmFyYCZvTg5nj85Fl1EqVMnVqHG/qxOY9\np/3yPID4r68JSchjjI1kjH3IGPsHY+wIY+zREMfcyBhrY4zVe1+/iHY72myStyjRfG9sDgDgb0eb\nE9wSYrAie7v8JXQSH4PnFEU43SIe33IIJSt24PEth+B0i9CpVWG9BQa1gJfvrVASP4pyTBAYQ0un\nAzaXG+12N0QOPPZWV6KebPgMMfgXBJpcmInGNjvGPrEDy946CEFg+PhoE9rtbhi1KtRWjUNV2TDl\nePmGkWzXMRFYHR4snlGEnUtuUPpi8YwiWB0eWMNI9FkdbnhEjj8unIr6X9yKVxdUIn+IHk/cfhWW\nz/oOfvrng2hosvglR8pe50XTixSVCTkBcMZ38vD5183dair76ik3NFmUJLtwXthhGQblxr5uQSWy\nTNKY8U0SAtCt1FqsPLzJOo+J1MY3gbGqbBh2LrkBR5+cjXabC50OFxiDVy7RA5HzbtdWWa5xZXUp\nVmw9hNptR9Bqc+KzhmYsebMeALBoRjFUjIX0EsdrfU3Uo6QbwL9zzvcxxtIA1DHG3vdKxfnyCef8\n+7FqxGVrYkpHB3J1fjpy0nT427FmVFeOTHRziEFIssbgiWEq5K2bXxHSWyCKHK1Wl9929fNzy/HV\n+TZMGZ0Fi1OKKd74k6lhtW1lr+POwxdwV+VIPLPjn8oi/+YXp3HPlAK/LUDZa6lssTs8SXcdE4Fa\nAOZOKQiS4VMLgMiZXwXCxTOKsODa0TDq1LjY6cTSN+vR2O7A2ppy2F2AXqPCQ5vrsPtES1gN1eI8\nM16eX4F93pAa2Wh+aV5F2JjxQD3lolyz4sUNF+JxptUq3ZC1Ur/2JUQiVh7eZJ3HRGpjUAtKOJpv\nrsBva8pxbVEOjFq1klT7yE3FYddWWbdY5MBT73yl7Ow9uqkeq6pLMW5YRtjS1ADiur4mxHPMOb/A\nOd/n/bkDwFcAhse7Ha0WJ4YmqHS0L4wxfG9sDj45fhFuj5jo5hApRDRlm5KxsIDRRytX9j7mpetg\n1KlDegtCyWi9+cVpXD1sCNpsLizeJFW+6wxTgMLX6zh3agHe/8e3ftnSM8fnY8nm0F5LeeE3alVJ\ndx0TgW/pb8U7u7keLpFLiZY7pUTLf/5qFu6ZUoCH3qjD2Cek3YGlt5QgJ02HxZvqoVap/KTc5KRK\nXyYXZuJ4Yyce3FCHq4cNQe3/uBpAV+nZp7Z/hVXVZX4ep1/fXYYXPmzwO4dsLMte3GAvbDly03V+\nhm9fpNti6eFNxnlMpBaB9xWHR1RUY+TwpNsm5KNiVCYefKNOWTNrphSELe5jdbjxyvwKZJq0uPb/\nfOC3rn55qhVDDFo/2U3Z47z0lrF+8y9e62vCdY4ZY4UAJgLYE+LP0xhjBxhjOxhj48J8/gHG2F7G\n2N7m5sjCElosDmSbdT0fGAduLMlBm82F/WcuJ7opRIzoz1gNheyxWrh+b1jN1VTH7vTg59+/Gjq1\ntFTp1AJ+/v2rYXd6uk3G80XWNs4boseXp1rx2MwSrP/8ZJDG8Zq55Vj9/jG/bfbvjc31O1d3XstX\n5lcgy6QbEMZINMZqdzHHvomWXzdbwj5wfHmqFWavlrF8ww2lT/3snFK88GGDYoDfMVHytfgavFoV\nwzN3TsDRJ2fjmTsnwKhVoSjHFHQO+XM2l6h4YY89NdsbQqGDMSARtC8hEr4e3q5zk9xapER7TSVC\n31csDjeGGDVI95FdWzS9KOjh1+L0YP1nodfW1z49iZZOZ1jj2agLL5cp66DHc31NaIQ+Y8wM4G0A\nSzjn7QF/3gdgFOe8kzF2G4CtAIoDz8E5fwXAKwBQWVkZkVXQanEi05R4zzEgxR1rVQJ2Hv42aOAQ\nA4P+jNVQDBbZJpeH+yV3/OaecoSLhgpV3U42aOUY2OFDDVj7QQMami2KRNz5yzaYdWr85p5yLJpe\nhBc+bFCSu6aNyVK+W/Y4B26Ht9tcSDdoYHV4lO32VCYaY1UuxBIUOuC9RmvnlsPi9KAgy+inOAF0\nhTjIWsayQbz87YPYfugCinJMUgKPXtrOXfXeUb/Pphs0yk158xensWh6ERb7hOcAkurJy/dW4JEZ\nxYrc1PZDF/y8uL1RNOhriASpJfSfaK+pRLj7Sj1eXVDpt/6FchSMzDSGXVsfualY0pLXqv1CquTw\nCbn0dChJN4ExGHXxDRNK2IxkjGkgGcZ/5JxvCfy7r7HMOd/OGPv/GWPZnPOL0fh+t0fEJasLWebk\nMI7T9BpcV5yNHYe/xRO3XwXWTZEDggAGh2yTyDn+15v+Mcf/600p5jgURq0qSHJNXtDbbE4suHY0\nTrdIepzbDpxXxOp/OqsEP17fpZf77JxSFOWYcO6STRGyP97Yib/sPxt0/jVzy7Hh81OKjicVXZBQ\nCwhZ+lstAA6XCJfo/9ATGLstJ+1oVIJ/wZZcMyxONxiA0y1W1G47ErIE+Noaqcx4VfnwsAl5Jp0a\nF9rseP8f32Lm+HypwIFXxq23GsRUUIIYSIS6r+Sl62B1urFpz2msqi7DsrcO+GnGy8hax92trWtq\nytHQ1IF18yth0Kpgc3qwYushiBzBa2tNOTwix4N/rPObW/FYXxOlVsEA/B7AV5zz1WGOucJ7HBhj\nUyC1NWpiwJe8GsdZSeI5BoBZ46/Aucs2HD4X6EQniGAGQwlUY5iteWMYT5vNKWLr/rNKLOuL8yYh\nTa/Gy/dW4ODZy0jTq/H8rmN+235LbxkblF29/O2DuO/a0chP10OnFtBpd2Pn4QuYdmU2hmXopXLW\nT87GS/dWgANYvet4QkoFJzMukYcs/e0SOTyc4897z6C2apxShnbr/rN+sdsaFcOqnUeRk6bDtDFZ\n2H7oAnYevoCLnQ48sKEOBm1wX8qfBQCBARc7nRiZaUS7zRVyrjQ0dWLZWwcw7cps1G47ohjGFqcH\nBo0Kxxs78donJ7oNV6IQCWIgEeq+suTmsVi8qR4NzRYlPOnKbJOfKtDSm4th0qr8YvtDra2PbqrH\nxIJMCEwypkXOMSbbhEXTi/zW1pfnS9Ju//OP+xJSij1RnuNrAdwL4BBjrN773s8AFAAA5/wlAHcB\neJgx5gZgAzCXcx61bZMWiwMAkGlKjphjALjlqjyoBYb/PngeE0YMSXRziCRnMHisQoVJyJ7BNH1w\nbIUgSJXONu85HVSBbc3cctidHjS2O7Dqva6qe4yF1tyVNTdrtx3BuvkVIZUXzDo1TAEP2APNe99X\njFoVxg3zL/397JxS5dqEqpA3fKgetVXj8Kv/ljLZp43JQqfdrZR27rC78PBG6WbZ0NQZ1JdnWq0A\ngAc21GHN3HJsqz+HtR80YPGM4Ap7cqUuOYRjbc1EGNQCWqxOv8IDz84pxaY93+D+68eEDX+gEAli\noBDqviLvvLyz+Hos3iwlNQeWZF9TU469p1qx43Bjr9bW85dteHzLobBrq0YtQM1YwnZHE6VW8Snn\nnHHOSznn5d7Xds75S17DGJzz33HOx3HOyzjn3+Wcfx7NNrR2OgEgacIqAGCoSYsbS3Lxl/3nSLWC\n6JHB4LGSwyQCk6/CLY46lYAskxYLrhkdlPn86OZ6uEWONXPL0dzhwO1rP8G8V/eEVa5ot7sUaa+L\nnc6QygtNHQ60Wpx+WscDzXvfV6xOT1AfLH/7IKxOT7d/q912RIn9XTO3HJ81NOPGVR/hyp9tR5q+\nKyFIjkP27UuBMfzqv79S+mfm+Hy4RY7Vu45j8xenFS92bdU4rHrvKACpPDRjgEGjgs0lhtRQnjk+\nnx54iEFB0H1lfqXipJDjjOWS7IEe4WuLcnq1tjY0dWJYhqHbtbXN6oLF6cbiGUVBn4/H+jpoH3Ev\nWrzGcRKFVQDAXRUjsOurRnzScBHTS3J7/gAxqBnoHiur06OESRTlmtHQ1Imt+8/iR9eNRpre/9ne\n4xHRYnVCzRgyTNrQHgu9Gq9/dhLP3VWK4UMNsDo80KsFvDRPSu6S9Y3vmDhCKVO8c8kNYZPGRmYa\nMe/VPX5lVAea976vmHxk+OS+e/Gjhu4r5GnVfn39/9g78/goymzv/2rpvRNCQohhiSwJqEDSEMQX\nt0FcWObeDCOCyQjBmRGVi6Ivol5nmLl554peBBngjheRGUeREZQRGeYqoo7bqMgSCNswgRAgBGJW\nQtJbddfy/lFdla7uqpBAku4kz/fzySdJp7v6SdfznDp1nnN+p/hsA27JTFW1p7+/JBftpCZYNNuw\niTaTbmFeVpoTeTkDsOPQBaz9rAyP3ZkFt59HeW0zaApYMmWkpjDoT/P19a8z+zs1nfOIhjChJyGK\nUtS8Vtuhmxn4gwLWz82FL5RyYaTa47Sw6nps8gVxoKIBawtcWBSxE7P9YCWcuYPaZFtfnZuL3eUN\nXb472vOupm2kwS2nVaTEiZSbwuTr+qOv3YSt+88R55jQ67GZGN0tN1uEcRRFCZ6AgCc2l+Cl+7LR\n5PcaKiWU13kgScADG/YgLdGCX0y/XnP81fkuHDjbgGRHfwAUinYcMywaK6txa+SGiMPUgj8gRDmf\nK2Zlwx8QIErQPT8na9yYsvorAHInriX3jMQjYW2i1+S7sKEwF42+oOa4r87N1S3Mq6j3Ysk9IzEu\nIwmTQva0wRPAxOH98IMR/fHzN/cjNcGCDxbdhsz+TjU3WS+Nx2Fm2t3sg0CIdy7XxMYfFNDk5/F/\n3ylBWqIFK2Zlq4V3UeutwYtJK79QH5s4LAUb5o3H+rm5cIQkGbcfrETBhAwEBKlNtjXBymJDYS7s\nFrZL7WvMdY5jRb0nAJoCkuKgQ144ZpbGrPGDsetYNc43+mI9HAIhpviCArbsrdAUbm3ZWwFfREGG\nNyiouroDkmxY/emJqKYPa/JdACQ8edcIdUtwwaRorc4nt8jbg74gjyVbDxk2/FB0cRXniTRd0CIY\ntJEVJAk0BayYFa2Fuutolfp63a3bLSUQxOjW329+cxqr811R6TerPjmBZ987jB+PG4Tnth1Rm4wo\nLZ7TEuXcyaIdxzBy6U5s/PYM1kQcZ02BCw4zAx8vtrvZB4EQ71yuiY0oQVUM2l5yAS99VAqbmcHa\nAu06eXl2DvrYTVFr8PW/l+OSL4hzDV5kpTkx75ah4EWpzba1+pIfEtDl9rXXRo7rQ93x4vFCVjjx\nWvzh69PY+O0ZPDf9+lgPh0CIGQ4Li7WflWHVpyfVx1iawmN3aiXP7WZZWUCJOAzr54CZpbChcDzs\nFgYejsfXJ2txz6hrMDjZhpWzstHHZjYUnndaWTihr5SRlebEujnj4LSwWHz3CCTZTVGRbELrTUAk\nSUKSzaRqFbv9PFiaQsFNGdhd3oC0RAuy0vS3bhNs2tSLVz4vw9rPyrBwcqYqD1VW05JiwYZSj8Ll\nAJ/eehgbCsdrbpQAqPPstUI50hUeqbLTsSsOInRP9NIV4s3nuJwkqJ6NbPQGkdnfoaZQ1Ls5mBka\nDjPbsqY5HpIo4d/uyIQvFLzwcjy2H6zE3IlD2mRb+9hM4AUxJmus10aOG9yBuCrGC2dQXzumjr4G\nb++tQJM/GOvhEAgxQykECUeJ1EY+b9fRKiyfmY3y2mbk35SBRZtL4PrNx3hgwx74gwLGX5uMS94g\nmv08JADzN+5XHerI41fUew07Obn9PBZsOoDrfvURntt2BAFBhEAKaKNo7dwFeRHegIBHQi2jH3mr\nGG6Oh9XEYENhLn75w+tVPerI17v9vBrpLdpxDEvuGYlFkzPh5gTUuTnM+f0eTFn9lZq/GN4lT0GW\nA2Si9I/zcgZgyuj0KMcY6B3SiYSOo7t0ML3cvA5fx0qqk7z+PsKCTQdQ7+YACWAZCg3eQMua3lgM\njhfh4Xg8vFF+bP7GYtx9wzVqw4/I94y0rUFRRGWjNyZrrNc6x/UeLm664+mx4AfD0ezn8fuvymM9\nFAIhZrRFrUIUJdhMDObdPBSD+tpwS2ZqlOLAos0l8AQEMAyNRm9Q3ZbXa0W8tsCFfk4zHCYGayK2\nDtfNGQcPx2PTQzfhg0W3ITXBgic2lyAQZxe8eIChqKjUiRWzssFQFIKipFuhDgDNfh6LNpdg1SfR\nGsZrClx445vTUdux824Zije/OY1Vn5zA2nwXvlgyCademI4vlkzC/8wZp0nXAFqcdG/Ehf9XP7we\nFpaGJAF1zRya/UHVmVEkrrRzhRRfEvS5XLpCvNDavBZFSWOD9VKdFNsqSNBd0wxDa9Li/rz/HMws\nHbW2jWzr8NQEtYi3K+nVaRXXpyfGehiGjB7YBz8ck47ff30ahTcPQb84KxwkELoCb0AALwrqNreH\n41Hb7Ic3ICDBSkMUJTT7g5Agb/U5rSwoCnjr5xNwqtaD3afqcOf1aaoyhc1Mw2G2abblP/tntape\nUVHvxbIPjqO6icPqfBcuNHrVbUJ/QIA7wGPxu4c0RSSrPimNifGOd6xmBivfL9V81it3lWLV/XKT\nDj0lCxvLAFZg00MT4OHk9suykggDX0AETQEP3TYMj92ZhdomDss+PI4Pj1QhwSqn30wfk46ATrvx\nggkZmor31fmu0A0WhVfn5uLNb05jZu4gcIKoea3SoU+EfKNmMzH4w4PjYTUx7e6kR+hddJcOpuHS\nbeHzGJCDiB5OwEUvp9rg1wpzYaIpeAI8eAFITbSotjVyTX9XXgdfgNcU3q3JdyHFaQYXFNtkW51W\nFl5OgNPatTa211r0encg7mTcIll8zwjsOvY9XvjwOFbNdsV6OARCl2OhKSQ7LKh3B2A3s6h3B5Ds\nsMCibHUHBfh5EcEIp0ZJr5g+Jj1K6cLM0lFV0maWxgMb9miqr5/cUoJX5+TijW9OY9b4wWgKbeeH\n564++95hvHjvGMOmJL0ZD8ejuolT1ScAuXrdw/FgKCpKyWL93HFo8AawZW90A5cVs7Lxt+PV+MGI\n/shIseP8RR/eP1CJ56Zfh8xUh6oysfCOTLXQB2hpN75qdo7qpLv9PL49VYvr0/vgrlVfqvPCbmYx\nf+P+qNzk1wpzYTezOFkty/wV3HQtrCwDu4moVxCMUdIVohRzAkLcyG6G50QDAKQWSVC3P4hFm0vw\nyO1DccPAPnh4Y4tqzLo54yBIwJPvhNnWAheW/sv1ePxtrb3dvKdC/QxSEyzwBgT0oyjUNHNIspvw\nu7+dxJTR6a3aVobq+vXUK9MqvAEel3xBpCVaYz2UVhme6sQjPxiGbQfO4+uTdbEeDoHQ5fAS4OZ4\nPLftCEYubVEaUB63mxnYzYxu++eJw/vpbvM1eoNRz3WY9YvHnFYWU0anI62P1VDbMyPFDjNxhqJo\nLSVGT8lCDG3LThmdHrV1u624ElNHp6uKE8/8+TBmjB2ErfvOYd4tQ7H94Hksn5lteI6U81dW48ab\n355G7rXJWPXJCc28MCrOtJtZNb95xthB2LznLLxBoV3b5qIowc3xEKXQd5KG0+OJ9zScy+VE20MF\ntWOvTY5KU2v0BqMee2JzCdx+IcreThmdDqAlXzlSNWZm7qBWbStNybtQXU2vdI4vhCTSBvW1xXgk\nl+fxyVkY1s+Bxe+WoC6kzUwg9BZEKVq26+mthyFKUI263cCxTbSZdB8fnGyPesxuYfDp4h9Edbor\nq3Ejs78zVKAX1C0iafAEYIqTC148Ed7ARck33H6wEt5Ai+xeXs4A7Hrydpx6Ybp6vvQulFNGp+PJ\nLfqd65wWFkV//QdWflxqeI68HK+eywdvGYqdR6vUgj1AngNegwLCshq3bre8tm6bd5fCrN5GZ9+w\nxHsH09Zu7kRRgofjUfr8NCRYo+3r4GR7m21rZn8nAH1pxqe3HkYfmxllNfqF0Q2eAKwmOa2iq+mV\nznHlRdk5HpgU/86x1cTgdz8Zh0u+IB5/+yACPKmK7630xuiTYTTPwmB3eT2mj0k3dIiUrfbIx881\neKMeO1ntxnPbjuCZqSMxwzVAjXLuOloFt5/H6k9PwGlhdSOhb393Nko9gyBHjgsmZMDCypcZC0uj\nYEIG7GZZWm/R5EyNxrCiTqF3oTSKLGX1d8IT4FH+4nT8549Gg6YQpb/62/tdoCkKWWlO+AICzAyF\ne264BqdemI5dT96OvJwBuHFIMmiKwsuzc6LO7yufl2neU+mW11b1iu5SmNWb6IoblniXcWvt5q7O\nw+HhjcUYuXQnvFz0PFeagIRjZFs9HI+Jw1IM17DdwugWRofbVjoGnmqvdI6V5hoDuoFzDAA3DEjE\nf80cg93l9Xhq66Fe4RQRtPTW6JNRNM/D8eo23e5TdVGqEstnZsuP50c7Skk6QvWvfF6mRjKenzFG\njXLePyED7x+sRHUTh1O1Hmw/WIn1c3NxIiwSmj8hQy4kI2jggiKCoqRJiQmKErigCAtN4cFbhmoi\nSas+OYEVs7JVSb7wc+Q2mAdujscjIZmoRzcVwx8UcezCJbx47xicWDYNawtcsJpo/Dy0bl7/uhxN\nfrnwR0mVeGbqSKybMw4WlsZLH/1TjXSvmzMO2w9WaiLMytyzm5g2b5t3l8Ks3kRn37B0B3ttdHPX\n5NOmTEiQolRnnNZoJZ+Vs3LgtDJR6jQSJLx0X7baejry/aov+fHhkSpsP1iJV+fm4sSyaXjpPrnF\n9L25gyBKEswx8I4pSYqfk3W1jB8/Xtq/f/9ln7di1z+x/stylD4/DUwc3cldjnVfnMLyj/6J+8cP\nxov3jomru9BuRsw/uLbOVQU3x2P+my3FQkBLa854Ke7oDLwcr7YuDVcfSLSyOHfRh6Idx1CUNwpJ\ndhN8AQGDk+2y82JmdNUqANne1bkDyEix42S13ERCcYBYmsKJZdMAABX1Xqz+9ASqmzi1wrqsxoNd\nR6tQePMQJFhNKKuRi7R+euvQzirI63ZzVaHZH8TDG4uj5uxrhbkAAIeZxYilO8GHOQwzXAPw/Iwx\nsJlpNf2iot6LL0prMPm6NE2R3poCF7bsqdA0iFEkoVy/+UT9ecGmA+oYdj15e1SbaUW+r8ET1Pwt\nL2cAnpmqLRpcU+BCit0MhpEv1m2JDvaStdut5qkoSRjxS+3cU9Y+3QHFX93hnOu1jV4+MxsDkqy4\n7lcfqZ/Nsf83Bf6ggGY/j8HJdpxr8CLJbkKChUVZrUfTjIemEFq/jPpYbTOHorxReOXzsqj1tOr+\nHNAUhdQEi2qLa5s5bCgcj/ONPvX31wpzO9K+tukEx8dZ6mLOX/Thmj7WbuUYA8CCScPhC/BY+1kZ\nWIbC8zNGg4pBFSeh6+mt0SermcEv3j+ikQP7r53Hsep+l7pNp+S0jQw5WqdemK7+nJczABOH94MS\nA7CGnJe7fvMJPlh0W5SjJOenCli6/QgWTMrEy7NdKKtx44UPj+Pl2S5MWf0VWJrCwslZGP6LDwHo\nd+wjtN4hD4DagCX8869ukusqRi6VL87lL07HXau+BC9KOFDRqM4DX0CA1URj7WdlUcdPtJk0P4eP\nwWhrN9lhwX/+73Esn5mtOuC1zRwSLKzaZVHP+aVD3fcAGDo9SoQ5UtXCxtJqUWk8brv3ZDpbSSJe\n7HVrN2+REm4nq+WukgvvyNR8NjYzg1++L9tDAOB4EQlWFmU1Ht0bzfONPo1CDUtTyOzvxI5DF0BT\n0HSxfPHDf+LDI1U4sWya+hqWpmA1yTefv71ftr+xuM71Tue40dct8o31+L93jwAniFj/ZTmcVhbP\nTSPtpXsD3UEWqDNoTQ4MaCmYsrC0+vkoOaupCRYsuWekNtoY0re9cUiymucWKRkGSLrvqXRZi+y4\npmy1Eyk3LUpnrcg5q5w7JX0iMhp8yRdQX6fkje8ur8eOQxew49AFTByWgqK8UerxIo/f5Atqfg5/\njjI3Il9zrsGr7h4oDrg3wMNhZlVn4krXmZ6OrI2l0eANEhm4GGF0w9JRShLxYK/1IsORc0y5uXNz\nWpnK8HXp9kfb4JJf3224frfsqdCMI9xeVjdxqHNzmLTyC/XvE4elqGsWABZNzkS9J6DVRi5woZ/D\n0qVro1emVdz84t/wf4alqGL03Q1JkvCrvxzFpu8q8JsfjULhxCGxHlJ3I+ZXn/ZuVbfF0MWazihA\n4XkRDd5AlFZxst0MipKb+WzZW4GCCRkIihKeevcQ0hItWDJlJPhQM4jIyMb6wlz4AwKe2FKCtEQL\nnrxrBDJS7Ki+5IeZpbH3dD1yr03WvOeKWdlYuatUTbHYsrcCaz8raxG1d7RstXcwMT+5V5pWEQjw\naPTzUecuKSTm3+jnsWVvBaaMTkdmfyc8HA8LQ2H9V+WqzvHU0WmYNjpd91wM6+dA/oSMqOPvPFqF\nj45WY/nMbBy70Kg5l4smZ0a9Zm2BC2aGxqObDnTZ2uoO2+7tpNvNU1GU4OcFiKJc+OvlZNvVEec8\nHux1e+aYMt7Ne85iyuh0tdBVseW+kL1U/pcNhbnwBoSo9SuIAoICjG1naK0tCFtra/JdKD7bgMc3\nl4T0znPxyFvR6VgduDbadAJ6nXPMCyJGLN2JhXdk4ql7RnbRyDoeQZTwyFvF+Ly0Bm/+dAJuzeoX\n6yF1J7qdIQfiu/q5My8GPC/Cxwtqhzwby4ANKSAIgqh+JlxQhChJsFvkjktWM2OYVxgICgiKc53l\n8wAAIABJREFUknpM9TM1M/AFBLA0BV69aPKgKQpWs3wBZWloX2tiOssxBrrpXAUAQRQh8CK4sM/K\nQlNgWBpzfr8Xbzw4HoGIv9E0DR/fMscdFjbqXDFh58JEQ3MME03BbGI059RMy+2q7RZWPX+88ntY\nN7D2rq2rWY+dnfMaA2I+6HgLOMTaXrd3jgmCiHpvAE9s1jb2cJpZmBk6ygbzoqhZlzaWgY8X1O+R\n69XD8TDTFBhaeywLTWlshMPCdvbaaNNBYqZWQVHUVIqiSimKKqMo6t91/m6hKOqd0N/3UBQ1pCPe\n9/smP0Spe8i4tQZDU1id78LwVAcWvn0AFfXey7+I0K1RtsBoKvQ9ThxjoHOrv2maUnPrKYrS/N8M\nQyPBagJD07BbWDitJtAUpTo+RlJbVjMLiqLwwIY9GFP0MYb/YifGFH2MOb/fi/ONfvz0jf1o9AXg\nDwpwWk2wK5+7lYXVzCIh9D4JVlNnOsbdGm9AwLw39mNM0ccY9tyHGFP0Mea9sR/Nfh67y+sx8te7\nMKboYzywYQ8oioLZzIJlW86n8hlHft7h58IS8TermW05L6FjWMwt80I5f+rvoXXU3rV1tWoEbZWB\nI3Qena1YQdMU7KaWm25FP7iraO8c8/GibmMPEVDXpbK2WJaOWpfKcyKfq6xXh5lFEydg7ut7MfY3\nn+CBDXvgD4pgWUbz/HhZGzHZv6EoigHwCoC7AVQC2EdR1A5Jkv4R9rSfA7goSVImRVH5AJYDuP9q\n3/tMnexEZkSIVXdHnKFikbzffYP5G/dj27/drBa7EAhdGblorQDlqiJsogSeF6DscEmS/DtN0/Dz\ngholFiRJE21Uoorr5oxDozeoqbJmKcDt52G3MHjzwfGaqIVyjE0PTYAvIAKSnB6gPMcfMtCi1BJV\ntpvj60YlXnBY2KjP10JTYEOydyd+M0XzN54Xo6JRDEXBYqJbHIyAEHWuTGFRfg/Hw2Zi4A8KUdF+\nPix6TFMATUU/ZjHR4HixZas9bL6Gz2NPgMfmPWc17W4XbT7Y5q3f9uS8tnX9xDpS2d3o7KK5WKdW\ntDevWu/zSEu0AJIchVbWESDvnEVGiMN/19vVsZsZOMwMXivMVR8z0xR4XgAvyTbVZqbBUsCaAldU\nBNvGdm0QIlae1AQAZZIklQMARVFbAPwIQLhz/CMARaGf/wzgdxRFUdJV5oEcOX8JgKwd3BO4NsWB\n/y4Yiwf/uBcL3z6ADYXjYSKRrF5PVxtmwwIUToAvFKG5knHwvKCbt2o3M5i/sVjNL95WXKnmqSrP\nWzdnHDhexHPbjmiMLC+KePztEiz94XVITbBqjr18pqyvOWPsIGw/WIn7xg+G3cxgwaYDSEu0YOm/\nXA9/UNTIEa0tcCGli4tFugN8UP/cJVllx1jvb04Li4c3FquP/fdPXLjolfBe8bmo86uXUxyewzhm\nUBJWvq+fJ/7fP3HJ7ao3a3MjEywsPAEBT717SDNfk+2mqAK65TOzUVbrUQv52uNY6RXp6TmzbV3H\nsXbEuiOdXTQXHpkG2n8DdbW0dY6p4+W0n0dezgAsmTIS8zfu19hPM0PjdJ0bA5Pshrn8ern9K2fl\nwGKi8Pjb0WveG+Tx9ndy7QgniNhWXKkWxro5Ht+W1WL8kJQunc+x8qIGAjgX9ntl6DHd50iSxAO4\nBCDlat/46PlLGJxsQ5LdfLWHihtuH5GKZT8egy9Ka/H42wfhJ52Xej1d3ZXLqCECTeOqxsGJEp6I\naBv8xJYS9ecFkzLx9Fa5pW9ka9JGbzCq5fATm0vg9gvYXV6PjBRH1LGV9sDK96fePYRGb1B9L7df\niGpnvWhzCel2poPRueNE6bLnVfnu9gtYsvWQ7vl99r3DmDi8n+5xJg7vh6e3HsaCSZnqY1NGp2uO\nG7mF/PTWw5AAPPXuId35GjmPn33vMBbekan+v+3d+m1LKkdb1zHpwtd+2trE5YqPHwdybu1JF6Jp\naJp9LL57RJSte2JzCRq9QQxPTdCsuymholmj33eX12PJ1kOq7Y1c826/gCmj0+EJyPZ11acnMWX1\nVxj+iw/x6FvFGJaa0OXzudvvwVMU9TCAhwEgIyPjss8/cv4Sxgzs09nD6nIKJmTAw/FY9uFx3Pfq\nt/jNj0ZjXEbfWA+LEEZ75+rV0NWG2ShKAQpXNQ4jrVxFyzZc6zjyeYOT7bqvHRxKqTI6duQxlecr\nesqxvuB1BR0xVy+nc6z3N6dVe0lSzqGRPnGkjnHk4+HnTPk5/LhtPV5rc4WlqQ6XAlNo6zqOB0cs\nFlzNPG1vZLW9xIOcW3uwmhis3FWq6hBTBrZ7cLI96m+R69NovQ6OSGdV1nx4OmhrNrlLbyy67J20\nnAcwOOz3QaHHdJ9DURQLoA+A+ojnQJKk1yRJGi9J0vjU1NRW37TRG0BFgxeje6BzDAAP3TYM6+fk\norqJw73/8y2mrv4KRTuOYcveChSfvUgiyjGmPXP1aolFUYNelOJqx6Fo5Ua+XtHFVHRrle/hnGvw\n6r72XIO31WNHHlN5flmN2/CYPa2QqiPmqtHn6+F4w7+5/bzmMeXz1ju/4TrGRo8baVMbnUej4xmN\n1xvgcWLZNGyYN75Ttnzbun7ipYipq7naedqZRc6dHZnuaLwBAdVNHERJwpzf71Gb9ISj2EO3X7se\nIten0XpVbGn4Y24/j3MN3lbtq3K8rpzPsXKO9wHIoihqKEVRZgD5AHZEPGcHgHmhn+8D8NnV5hsf\nPd8EAD0ycqxwz6hr8MWSSfiPf70BfWwmvLv/HP592xHMXPctxhTtwrzX9+Kvhy6AF8RYD5XQicSL\nYb7acdhYBmvyXZrXr8l3qT+v+6IMK2Zlq4L04c9Lspvw2/sjXlvggtPKYOKwFFTUe6KOvXxmy7F2\nHa3Cy7NzkGQ3qe/ltDKarUel9XC8XvBiidG5s9DUZc+r8t1pZbByVo7u+V0+Mxu7T9XpHmf3qTqs\nmJWNdV+UqY/tOlqlOe6aAu3rVszKBgXg5dk5uvNVbx47zJ2rHtPW9RMv653QQnhkujNvoDoKZQ6d\nqm1W10vkmltT4EKS3aQ+R/nbrqNVrf4+cVgKVs7KUW1v5Jp3WhnsOloFhznavirrv6vnc8x0jimK\nmg5gNQAGwOuSJC2jKOo3APZLkrSDoigrgLcAjAXQACBfKeAz4nI6h2s+PYnffnoCB391N/o6ek7O\ncWsIooQLjT4cr2rCvjMN2Hn0e1Re9GFwsg2LJmfhx2MHgu19BXwxt05Xqh3bHuKlev1qxxGpc6zo\n4V5OrYKl5QpoRftY+5isRsAHBV21ClnvWARNASyFWKpVdOu5qnfuGIYGw9C6+tXdRa2iK9dTN1Gr\n6NbzlCCjzCErE6033hFqFVxQhCBJGrUKCtCoVch69S3r2W5m4AuKHTmfSROQcCRJwuSXv0RqggXv\nPjKxi0cWPwiihL8dr8Z/f1aGI+cv4doUO352y1Dk5QzoNTcMIIac0H0gc5XQHSDzlNBdaNNcjb+s\n8E5i/9mLOF3nwb9NGh7rocQUhqZwz6hrcPcNafj0eA1+93kZ/mPHMfy/vx7DDQMSMSItAel9rEh1\nWnBNHysykh0YluqAlWzPEQgEAoFA6AX0Guf4rd1n4TAzmD4mPdZDiQsoisLdN6Th7hvScPT8JXx8\n7HscqGjE7lP1qGnmIIR18mFoCtddk4BxGX3hGpyEUQMTcW2yA7ZQ5ag/KKDOzeH7S35UXfKjwRNQ\nE+f72EzISLbj+vQEpDgtMflfCQQCgUAgENpKr3CO395TgR2HLuDfJg0nHeR0GD2wj0bBQxAlXPQG\n8P0lP07XeXC8qgmHKhux7UAl3vrurPo8M0vLHcTaWNw3JMWOicP74ZbMFEwYmoz+CdYO/18IBAKB\nQCAQroYe7ylWN/lR9Ndj+MGIVDx1z8hYD6dbwNAU+jkt6Oe0YPTAPvjXnAEAZKf5VK0bx6uaUHnR\nhyZ/EBQoOMwM+iVYkN7HivQ+NvRzmuGwsBAlCY3eIM7UeXDk/CXsO9OAvx66gM17KwAAA5NsGJHm\nxKC+dqQ4zXCYWTA0BUGU4AsKcHM8LnmDuOQLwhPgwfGyE25haTgtLPrYTOhjNyHRaoLTwsJqomFm\nadAUBZqikJZoxYShyYb/J4FAIBAIBEIkPaogj6KoWgBnL/vEy9MPQF0HHKcz6Q5jBOJznHWSJE2N\n5QA6aK7G42cbDhnf1dEPwD/JXI07esr/0pH/B7GpXQcZ49XRprnao5zjjoKiqP2SJI2P9ThaozuM\nEeg+4+yOxPtnS8Z3dcT7+NoD+V/ij57yf3Qk3eEzIWPsGnqdwC2BQCAQCAQCgWAEcY4JBAKBQCAQ\nCIQQxDnW57VYD6ANdIcxAt1nnN2ReP9syfiujngfX3sg/0v80VP+j46kO3wmZIxdAMk5JhAIBAKB\nQCAQQpDIMYFAIBAIBAKBEII4xwQCgUAgEAgEQgjiHBMIBAKBQCAQCCGIc0wgEAgEAoFAIIQgzjGB\nQCAQCAQCgRCCOMcEAoFAIBAIBEII4hwTCAQCgUAgEAghiHNMIBAIBAKBQCCEIM4xgUAgEAgEAoEQ\ngjjHBAKBQCAQCARCCOIcEwgEAoFAIBAIIYhzTCAQCAQCgUAghCDOMYFAIBAIBAKBEII4xwQCgUAg\nEAgEQgjiHBMIBAKBQCAQCCF6lHM8depUCQD5Il+X+4o5ZK6SrzZ+xRwyV8lXG75iDpmn5KuNX22i\nRznHdXV1sR4CgdAmyFwldBfIXCV0B8g8JXQkPco5JhAIBAKBQCAQrgbiHBMIBAKBQCAQCCGIc0wg\nEAgEAoFAIIQgzjGBQCAQCAQCgRCCOMcEAqFXU17rRkW9N9bDIBAIBEKcQJxjQpcgihLcHA9RCn0X\n26yo0iGvJxD0kCQJD/5xH6au+Qqfl9bEeji9HmWdC6KIZn+QrHcCoZvTnmt3PF3niXNM6BQ0k9zP\no9kfxPw392PEL3di/pv7Ue8JtHnii6KEek/gil9PIBhRXudBRYMXFIDH/nQAQUGM9ZB6Lco6f/3v\n5Th/0Y+HNxZ3i/UeTxd0AiGeaM+1u63P7ar1RpzjLqajT2w8GuaoSb5xP5o5HqkJFvCihN3l9Vi0\n+SC8QaFNx/MGBSzafBC7y+uv6PUEghFfltYCAB6bnAVPQMA/q5pjPKKeRXvsk7LOp4xOx7PvHe4W\n6z0eb9zj8ZpA6J2059rdlueKooRmfxB1zRwkCahr5uQdpk6Y48Q57kI62pB2pWE2Mrh6j+tN8qe3\nHsbCOzLV4+070wC7mWnTe9vNDPadadA81p7XEwhGfHWyFsP6OfCvOekAgIPnLsZ4RD0HPftU5+Eg\niKKu06as88z+zm6z3uPtxr29kTriRBPaS3vmTXuu3W15rj8ooJnj8dy2Ixi5dCee23YEzRwPfyes\nN+IcdyEdbUg72zBHLoLX/16uMbiCIOoaYqNJntnfqf5+45BkeANtjBwHBNw4JFnzWHteTyDowfEC\nviuvx+0jUjEwyYZ+TgtKKhpjPaweg559emJzCcpqPLpOm7LOy2rcXbber9ZBjOWNe1sDE3rXhHiM\neBPin/bOm/Zcuy/3XJ4XIUgS0vvYUJQ3CtPHpKuBt86YtsQ57kIuZ0jba6g70zBHLoJH3irGjLGD\n1AmpGFw9Q+zheN1J7uZ4zHANwMRhKVhbMBZ2UxsjxyYGawvGYuKwFLA01e7XEwh6VF70wR8UkT2o\nDyiKgmtwEkrOEee4o2jtJlnPaVPW+a6jVVg+M7vT13tHOIidfePe2o6d3thtJrpN14R4i3gTugft\nnTftuXa39lyeF9HgC+DhjcUYuXQninYcw5J7RiIvZ4A8vy0d7wuwHX7EK4CiqNcB/AuAGkmSRoce\nSwbwDoAhAM4AmC1JUrfe81QM6e7yevUxxZDaTQzqPQEs2nwQ+8404MYhyVhbMBYpDjNommr38ZyW\nqzu14YsAAHaX1+PZ9w6jKG8Udhy6gH1nGuCwsIaGeE2BC09sLlH/l+Uzs/HmN6fx/IwxACUvBKP/\nKxKappDiMGPDvPGwmxn182rr6wkEPSov+gAAg5PtAICxGUn49Hg1LnmD6GM3xXJoPQIj+1RW4wYQ\n7bQp6/xntw2DzUTjtcJcOCxsp613PRu3aPNBbJg3vs32U7mgR9rtjnDkFQdY75pgNPbXCnPbdE0g\nqWqEK6G986Y9126j5wLyWn1ic4muP1LbzMHD8UiwdqzNjpfI8RsApkY89u8A/iZJUhaAv4V+j3ta\ni/62dmdkeEcWEAyjyJ0ZUb1casSNQ5INI8S+oIgUhxlFeaNQ+vw0FOWNwsqPS7H2szLYLQycFrbd\nFzqapuTXUdQVvZ5AiKTyoqxtPKivDQAwZmAfAMCxqksxG1NPQs8+LZ+ZjVc+LwOgH2FV1jlD00iw\nmqLWe0fmybZ2oW/rscMv6CeWTcOGeeNbDWgY0d4UCaOxOyxsm64JJFWNcCVcybxpz7U78rmSJMEf\nFOC06gfiMvs7sabA1Sm7yHEROZYk6SuKooZEPPwjAJNCP78J4AsAz3bZoK6A1u70AfnuJ8VpxmuF\nubCbGfgCIujQ7YmRsbOZGcz5/R5NFFkxnHYzA4eFwYbC8bBbOjai6uWMoz7hBtcoauINCijacUzz\n+onDUjokqk0gdASVF30wMRTSEqwAgKH9HACAinovbh4ey5H1DCIjQW4/jze+OY0Pj1Rd0Y18a/a1\nNZsXbi/DbaRRZPtktRtFO45hbcFYJNtN8PFip+5YGf5fTrOh897armFbInWdGfEm9Fy6ct7wvIig\nKIIP3aR+uvgHWPXJCew4dAGAMt95JNvMYJiOj/PGs5eSJklSVejn7wGkxXIwbcFoq+sP88bDE+Cx\nKCzNYMWsbKzcVYrqJg5rC8bCZmIMndHw7T6j9Au7mblqpzP8IkJTwMuzc/DUu4fU91mT70KK06yO\no7UtE2J8CfFO5UUfBibZVMchvY8VLE3hbAPpltdRKJEgAHBaWPzstmF47M6sVh1NQ2e2DWkQka+1\nsTQavEFdh1rPRi2fmY2VH5did3k9Nu85i/ybMjTpYZHO+JU67JFj9ehIXbaWItGafY38zI3OC0lV\nI7SXqHnDCXKAjwLcHN9hc0gQRLgDPAK8iCe2aP0mmgKqmzisKXDBxjJg2c5JgKAkKT6qU0OR4/8N\nyzlulCQpKezvFyVJ6qvzuocBPAwAGRkZuWfPnu2aAesgShJG/HKneqcDACxNoeTX92D+xv1RUdSi\nvFGYsvorLL4rCz+9dSgcFhYV9V6s/vQEqps41VDvOHQBLE3hxLJp8AYEzH8z+lgbCsfLubxhFwW9\niIfRhUfXyOe74OdFDEiyoazGjXVflGHV/S7QVNsmv9F7xQExGUQ8zVUC8OP/+QYOM4tND92kPjZp\nxecYNbAPXvnJuBiOTEOvmquCIMITEOCwsCircWPX0SoU3HStvPtGQWNf83IGYOEdmchKc8IbEGBl\naDT4Ahpndk2BC1v2VGDVpyfV95g4LEV1qMNt1MlqN175vEyNTO168nbd3a9wZ9zN8fr2+DJ5y4q9\n3bznLKaMTkdmfyfcfh7vH6xE0V//AZamUPr8VDR49B371mx5jOhV85RwdTeGrR3THxQgSoDdwqD6\nkh8v7vynuiZVXweAlaWv1DFu0+DiOXJcTVFUuiRJVRRFpQPQ7e0qSdJrAF4DgPHjx3eKp68XjfDx\nImwmGt6QIfdwPBiK0r3Tt1uM83fzcgZgxthBeHhjcdgEc0GUgGUfHI/YQpDHkJZowa4nb0dmf6fq\ntNotDB7YsAf7zjRg0eRM5E/I0NxxrSlwIdluRoM3oBsJ0Y3KbClBUd4oDP/FhwDanxbRlghGb6Ir\n5iqh7VRe9OHO6/prHstIcaCinkSOY2VX6yPs0/KZ2di85yx+eutQUKCwaHImpoxOx/BUB+o9ATwZ\nYeOKzzRobNgTm2UbFu4chxcQKTbKzfFRjnBb9JbbUqCk58R6gwI27zmLGWMH4dn3Dqv/w+p8Fw5U\nNKK2mVNrN4yiu1djX+PMsb5iiE2NHR1R0BqO0uCjmePx9NaWNbFyVg4AqEIANjMDX0DotIixQjx7\nLDsAzAPwX6Hvf+nsN9QzGADQ7A/iojeIwcl2iJIEj2LgQo6x28+jzu1HitOKP82/SRP9XZvvQrOP\nR+nz01BW0xKZUFImnp4yEs/8+XDEBCvB+rm5qG3mwNKUZsvMHxSwZMpIzeRZMSsbtc2ceowpo9Px\nxJaSqIvEujnjoio+1XSNVgrwIsdAIHR3/EEBtc2cWoynkJFsQ0lFtxbFiSt4XoSPbwkgKNugyoVQ\nsat1zRxSEyzYsqcCRXmjkNnfiQuNPphZGo/dmQUPx4Olod70F+WN0jizio1bPzcX5S9MR7Ofh9Ma\nquuggKJ/vQETh/dDZn8nfAEeXo6H3cKq28I2lo5KU1AKjltTfricYpBRdC3ZYdJ0AlT+hye3lODF\ne8fAYWHbnCLRXjoj4kfofXS04ok3KICmKTy9Vbsmlmw9pKpkKeuyK4JtceEcUxS1GXLxXT+KoioB\n/Adkp/hdiqJ+DuAsgNmdOQbZYHCavOC1BS4kWFi1I0taogVLpoxEgBfQz2mFw8LiZLW89Zc/IQNv\nfnMaaz8r00ZqPQE8uqlYEwnJTHVg9o0Z2HWsCnMnDtGdYE4rqxsxEEUpavI8vfUwXrovW329UcQj\n0Wa6ggIPXk3n6K7RBQIhkvONsozboL52zePXJjvQ5OfR6A0gyW6OxdB6DDwvyjtV4dHdfNkuBgRR\ntavK316dMw4zcwdjydZDmhv/xe+UyDmG+S4Un5Ujw0Y2zmFhMWLpTtXWHrvQiNtH9McPs9OxaHOJ\nasMjgwsJFhbJdhP+8OB4iKK8pevleLw6Zxwe3XRAc02gIV8vjGor5FxIOarVmuSa0f+QkWIHJGjy\nmjsyytvRET9C76SjpWStDA0/L2LTQzdpAon7zjQgK82JxXdlIf+mjC7zQ+JCyk2SpAJJktIlSTJJ\nkjRIkqQ/SJJUL0nSnZIkZUmSdJckSQ2XP9KV4w0VzGllc0oQDHNGF0zKxLbiSjitJjzyVosY9Yyx\ng7BlbwWmjE7XdILyBgQ1gqs8/ux7h/HgLUPhtDC4d9wgVRUiHOXuyMrQaiqFNyiA50XYDbSFByS1\nRMCMOkw1+YKGMixGsnAOM5FPI/Q8FI3jqMhxiuwsV5CivKvGx0fbvye2lMDHyzmFil1V/nbRG8SS\nrYei2s4vmJSpvnbi8H7IyxmAZr++LSurcauv3X6wErdkpsJmZmBiaLz18wkoyhuFbcWVUe/B0DQ4\nXm5rPX9jqLHGxmJwgog/hGTaXrx3DJZ9cBw/f3M/6j2c6iAn201YPzdXla3csqcCDd4gRFFSo2t5\nOQOw68nbceqF6SjKG6UW4RnZ48iCv47sZEc0jgkdQUdKySpNPuZv3B/V5OPGIcmoqPci/6YMJNvM\nnZ5OoUBuE0MYOZ3hjS4y+zuB0emGYtTDUx1qLvCFRp+hNp/TyuL7S3489e4hpCVasGJWtiaSsXxm\nNv749WnkT8hA8dkGPL65RI1ICIKke7fm5nhMHJaCfWcasOtoFdbkuzQRm+Uzs1FScRGvzs2FU1Ps\nknFZ5QkCoadRfckPAEhLtGoevzbkHJ+t9yJ7UFLU6whtx6hJkCMUVYqsnRicbG9VW13Z/Xp26nXY\n+O0ZLJ+ZrcnXlXMTJZx6YTq+v+QDQOGRt7S7dtsPVmJm7mCU1XrUeg4lj/FcgxfPbTuim6rxu7+d\n1OQtL9pcoqr2eIMCHnmrWGOTd5c3YMM8uXBo0eTMqNziNQUuJNvMUc2SIp2LzojydmbzKELv4Wp8\nhvDdkGBQACdIun6VnGLE4D//9zhqmzl53hPnuGsx0vX1coJaBEJRQFaa/lZYVn8nat0cinYca9km\nnKsvxdPs5/HUu4fUx0UJWDdnHBKsJpTVuFWFit3lDVg3Z5wmGr22wBV1UVhb4ML7Byrx4r1jMDjZ\npkab180Zh0SrCc1+Ht+eqkX2oL54NOxisSbfBZtJ26GKFNARegO1bg4AkJpg0TyekUwixx2FYc4u\nJ4CmgGemXqeRijSyl0pHPWVHTYkul9V61Pxkb4AHxwt4/G35eJ8u/gGe23ZYN4ixZOshvHRftqbY\nuazGbZjm4LSw+PG4QaqqhFoEbWZQ7w4g2WGsRyyJEh68ZajGeVZs+YZ549HPYWnVueiMKC+R2SR0\nFJfzGYzquBSllpm5g9DHZjIMJGak2OEPCKpiV1fubsRFWkU8QFPAilnZmi2CFbOy1SKQoh3HMOKX\nO1F9ya+fBhHg8WTEFuKb35zG6nyX5pgrZ+XAGaFesePQBSRYTRi5dCemrP5KE9FItLW0RNx3pgEp\nTgvKa5vV7nPr5oxDssOMicP74csTNWjwKP3HP8KCTQdQ6+ZwsKIBE4f302xZpiZY5MlqYeEJtK0b\nVEd2pyIQYkm9OwCnhYU1wiGwm1n0tZtQdckXo5H1HGwmBmsi7N+afBfeO3AOnkBLgCDcXq4p0D7/\n5dk5WPdFmfzaAhcYisKmh27CridvBwBMWf0VRi7dCQrA42+32N/WotD7zjRgYF9bVNc+o3S0Zj+P\nAUlWFO04pm75Lv2X6+HheCQ7zGj2B7FocmbU67ycgAZvEE6DCLrd3FJwZ5S61hmd7Dqqqx+hd3M5\nf8AoJSjAC7CYaBTclIFEmwm21lKMOAF1bn/L713YwZGEB0OwlHznI0df7TjX4IXTwoIXJTVvLi9n\nAFiaikqDWFPggt3MoChvlEYnc+1nZfi3OzLx0n3ZGNjXBi8nAJBQ08RFRUjONXj10yX8PPJyBqiV\nmhX1XtwwoA92Hq1CitMEt19AgtUEC0tjZu5gjeamUv0sp1K0OOR5OQOw5J6REdHn1quVSYUzoSdR\n5+bQz6lfcHdNHxu+D6VdEK4cX1DAlr0t6hNlNW5s2VuBH48bhBSnJSqt4rvyOlgYWmMIXunDAAAg\nAElEQVSDE6wsnp8xGvaQKtDv/16uFj0vnykXIdc2c1FpcYqjqxeFVi66J5ZNQ0W9V92pA6Cbjvbm\nt6dRePMQ9VipCRb4gyIef1tbaAhAHdvagrGgaWDR5oMoyht1xWkMnRXlJbuEhKvBUIUlrKOkJ8Bj\n856zUSlB6+fmQpAkOC0sgoIEipK7Va6clRNVjAsKmPzyV1eVz3ylkFURghMlbPz2DKaMTpd/50Vs\n/PYMHrszSzW6C+/IxKItJUhNsKgG383xGpUKxWArzmx1kx+SBFWDWGmuETkR+tpNUflnK2fl4I1v\nTuNXP7wez027Dml9rDh/0Ycteyvw0G3D0OANaKq91xa4kJao3SZWtgWVApbd5fVYeEdmlITQ5fLY\nSIUzoSdR5+aQ4rTo/i29jxUXGolzfLU4LCzWflamydVlaQqP3ZkFfyBaknL93FxN+kFezgA8M3Vk\nVD2Gki+s5CQm2U1RKRyvfF6mW8ux/WAlVszKRoAX4AvwYBlKlcysbeaQ4jRrnPmVH5fiwyNVWDg5\nSx3Tb340Cgs2HdCmSWyRpTIXTs6CN8DDYWYBSra/r3xeppMK17YLPakFIcQjev6AXkfJ8PUKyHUG\nLE1BEiQ0+3nNjejafBdeui8bA5JsaPYHAcipDbFSyyJeTQgjQ/6zW4epOcdZaU6kJVqwYFImMvs7\n0ewPRhlJJa+ttpnDilnZECVEO6JbSrByVrYaUfZwPGwmBhLHq1GTZn8QCVYWBTdlQBCBxRFtnAFE\nSbot2ixrZG4vuaD+D+H5dIpD3hZx+0hIhTOhJ1HvDmBIP7vu367pY0XJucYuHlHPI7xeQ3E2dx2t\ngpcTIErRkpSRBXwL78iMes6z7x3Gujnj8Nv7XSircWNQkk3VUV4/NxdvhAIVtc0cEiwsXp2biwQL\niya/nN5QePMQAIAgSti8twIzcwdhQ+F42C3y1q43IOh2xWv2B1G2bBrqPQEkWPUlMROsJjR4Aupu\nmjvksCuOQXh+tMPcdvUfEuUlxJqohj0mOmoNTGlFrGDHoQvIyxmAf592PWqa5XqPyOJXpenYyKU7\ncWLZNPBBASzLqClHXQ3JOQ5hlPMSnnNc1ejD0n+5HpZQtaSRbnBWmhOrZuegr92MgX1tus9JT7Ih\n0criQqMPD28sxqlaDxZsOoBVn5zA+Ys+LNh0ACOXfgQPJ+D/vhMthyRKku5xByfb8MWSSTj1wnR8\nsWQS1ua7sOtoFcpq3Fj+0T/x0n3Z8F1BHltbct9ITjKhu9Ba5HhAHysaPAH4g12X39YTYWmg8OYh\nqr20sDQKbx4Cjud1C3Aic36NbuKV+oxdR6vQ4JVrLEb8ciceeasY+RMyUPr8VKyanYP/2HEMj75V\njKpLfvz6L8ewZOshsDQt5zmaGPz01qFIT7JBgqQWMTMUhbUF0XnSG789g1O1Hjy5pcQwN9kb4DVp\nZuFSVx8eqULRjmNo8ATa5RgbQWwtoaswyh2OzLNX1mukbOHwVAdYmsJz067Du/sq0M9pQUaKHUV5\no5CXM0B9vVITIKc98bJjHMMdEnIbGsJCU1g3ZxwaQx2bzjV4kWQ3aXKOzRESIopucGQu2clqN6as\nlvNk1s0Zp3lOXs4ALL57BACAoilVc1OZWB8suk0TaTYqLLFb2Kj3XjQ5E/UebarFy7NzMO/mIfjV\nX45hx6EL2HHoAhbflYXV+S5N69XLbfNdLveN5CQTugu8IDen6GfgHF/TR9Y+rm7y49oUR1cOrUch\nSoA7otHHilnZSLabddWBdh2t0tglozqMC40+8KKk3wk01GGO40V1B23J1kP4nwfGgaYp2MwMqhp9\noChKo5Tx8uwc+DgKi7bIjUJevHcMMlLsaPbLaXOrPj2JhZOzDNMkVszKBkNTGlvXWSkRxNYSuhK9\nFApF4nB3eYM6B91+3lC2sPT5qZAkOdA4f+N+TdoF0JKGeq7BizUFLrARaykWEOc4BC/J0dFIx/Ka\nPlbVOXWYWU2e76LJmboFHCs/LgXQku+rGNKpo9MwY+wgOMM6680YOwhltR41GhEZLTEqLPFyAtYW\nuDQd/fQkg5569xBeK9S2op4xdhB2HqlCUd4oZKU522S0L2foSU4yobtw0RuEJMGwIC+9j6x9fKGR\nOMdXQ3ijD6Clm+eGwvFgaUQFIxxmBh8cqVId06pGH1bdn4PF72iLdCwMjbycAYaR5cHJ2nSZtEQL\neFHEoj+VGMq8PfXuIbx47xj1se0lFzBxWAo2PTQBU0anY+HkLFWVQkm9C0+T8AcFNUIeTmekRBBb\nS+hKjFIqnRYWGwrHw2ZmUFbjxvsHKzHv5qF4dJPWB9mypwI/vXUoKCDqZjY8DXVtgQsOMwtRkmBm\nY5+uSVZSCFGCRns43LFUnFNRArYVV2oKNorPNuC1wlw4LCyqL/khShJ+e78LC+/IRHltM9wcj4F9\nbXh1bi4kSdLoDCsFIgvvyFSjEZHREr3Ckpdny2L3KU4L1s0ZB6eFVSufjUT3XyvMhd3ManSUJw5L\naZdBbc3Qk5xkQnehLqRxbBw5lp3j75uInNvVYLcY2AQLA39AgD8oagIN824ZisKJQ9DM8dj47RkU\n/fUf+ObZO9Q6jLIaN176qBS1zRyK8kYZBg7q3BwsLI1TL0xHWY0bSXaT2v0UMN6N03Oq6z0BjXZ9\nuCqFUleyclep3N66wIV+DkunR7yIre04Oro1d0/EqGnM+UYf+tpN8AUEZKU5YTczcESs+bycASiY\nkIF6dwAZKfrrLivNidcKc2GmKQiSLKcZD+eAOMch7BYmSlpIEXp/eXYOnnr3EGxmOmrLYPnMbNjN\nDOrcHBKsLOrcAUiShGv6WJGV5kRFvRdFO46hukk2pKkJFk0racXR/vBIFTJTHfjZrcOwtsCFzXsq\n1EIWD8fjlZ+MRR+7GTVNftjMDOZvjHayC28eYigZ5DCzGkMfLo3SEQaCdF0idBfq3QEAQIqj9chx\nFZFzuyo8HK9bkOfheFAA3t3XIvPm9mtVf1bMykbJuUZc08eGkUt3gg/LqWVpCsNTHaht5vCn+Teh\nyScX21Ve9CHZYYKfF7Fg0wFDFR8jp/pcROOXJ+8aEVVgFK5K4eZ4vH+gUk3fUBp7OC1shzldesfx\nBomt7QhIekrb0EupVPo1NPqCWlnbfJdmd+U//vV6mFgGKQkW1R6Eix4ou+AWmoIEuS4hXj57UpAX\nQpEWChd6XzJlJIIhzb4X7x0Db0BQ84HDHVxfQISXkxtqWFgaFz0BPPqWXCTy3LYjWHz3SKQmWPD0\n1sNYeEdLEruSgO4N8DixbBrm3TIUfz9ZAzNDq0WAI5fKhSa8JAGQ4LSyqkJG+BimjE5HgpWNEtFf\nU+CCzUTDGxSQbDdFCb8D0E22b2+BR0f2WScQOhM1cpygHzm2m1n0sZmI1vFVYmMZ3YI8G8vAZmYw\nY+wg1cY9uqkYM8YOwvQx6Wr6xfMzxqgSlOEsmpyJBm8Ai989hBG/3IkFmw7gQqMfO0rOA6BUh1ax\nj4s2l+DJu0aor1d24yKbjTjMjOYxo0hXgtWE4b/4EI++VYyJw/tp/mY3MwYFTBy8bWy2pGBUCGVj\naWJrO4Dw9JSWuXIQ3l5YiNtagSdNU0i2m7B+bi5OLJuGV+fmgmUoXPQG1bSpcLGAebcMxcRhKZjh\nGgBRAh4JFcw+vFEumF18V5am0ZriCzM0DYaJH5eU3GaGEHSkhZ7eehivFeZi96k6TBzeDw4LG9Xo\nIy3RAl8wuuhEL0L8w7V/R2Z/p/qeNw5JViviJUku8LstKxV17kCUzMkTm0uwoXB8lNwR0OJk+4IC\nUuxmrJ+bG9I25vHmt6c1wvQpDrNGGsXN8R2Sv0b0OAndhculVQBE67gjCAiibkGemaEh8FKUxGW4\n7NO+Mw2wmRls+u5cVG5yssMcVVuhvNbIPmak2DFxWAr2nWlAbTMXypfMhc3MwhdqPW1hGfxp/k3w\ncjxoSrZbny7+AVZ9ciKq1bRy3Eh7rqj3RNtUuVDQYWHbHJlsLbdYz9YCsj0n9rdtkPQUmbZE0H28\niDe+OY15Nw+BBLkRjiTBMBe5KG8UBve1oaaZw6aHbkJZjRuvfF6m7rw8dmcWKurlRmsshZgrU+gR\nP256jHFYWDWt4tQL07HryduRlmiBw8Ii99pkLNh0ACN+GYoo3zNSlSB58q4Raj6b4gwbRYiVrTvl\nrmndnHFo8gdD7Z534pk/H4YvKGCQgfybzcygot6r376a42E3MfDxIh55qxgna9x4dFMxVn16stW7\n4o40EJdrhUogxAN17gDMDI1Eq/HNX1qileQcXyXhBXnhtlGU0OpNPtDihE4dnY6gIOcmj1wq78RF\nysDl5QxQi4uNWjm7/bKGfOnz0/DivWPAiyJoikJZjRs2MwNBBOaHIlzzNxbLkel3SvDctiN4ZupI\nzHAN0LSaVo4bbs+V6K2RTR2cbG9XZLI12xxpa4GO2QHsTXRGa+54oy2Sf22JoNvNDB74PxmgaAqJ\nNrnpjt6ujqIms/tUHYKCqD5uYWn86ofXIy3RggSrCQCQ7DDDztKg6fhJpQiHOMchjNIq/AFBrbAM\njwQvvCOz1a238IjCosmZaPYH8af5NyHFaUbp81Oxbs44cEERi985FLUF6DbQXHb7eXxRWhO1Jbim\nwAVHyGAqBrWtjT6M9J09HN8RHyuBEHfUuzkkO8ygKGODfE2iFTVNXBeOqufRWkGekd0pq3GHHE0X\nkuwmOMxsVPAhPECQlzMAS+6R7baSYhG5dbsm3wVfUMCqT06grMaNwcl2mBgGFhMNC0vjQqM/ysY/\nvfUwFkzK1KR4vDonF9sPVuLDI1XqGPsnWjRpajRNGTpdZTXudgUe2uO8kRSB9tPTUwGN0nIiHeTW\nbsIUpzoYFCCILSkSf/z6NEwMHeWLKGkSs8cPRnNo10i5qeUEEc9Nvx7nGrzwcDysDIWAKIFmqLjU\n6m63c0xRVF+KorIpihqnfHXGwMLebypFUaUURZVRFPXvnfU+4WkV2iiHfrONrDQn1s0ZB6+BkVci\nCovvykL+hAw18vzwxmKcv+jHxm/PIDXRonvsRJsp2gHOd8FhYTBj7ED87Xg1NhSOR+nzU/FaYS76\nOS3wBgUIgqgaVGOh+ujI8fKZ2vdSigwJhJ7IRW8AfQ2K8RTSEi2oc3Pgw6IfhPbR2o233cxENdtY\nne/C8FQHNhSOx7IPjuPJLSW6DvaXJ2qwJl9+7cI7MqPqQJ7YUoKf3ToMJb++BytnZSPZYUaKw6w6\n0SOX7sSjb8l2eEfJecNGTUqAQ9m1+9VfjmJm7iCU/Poe/Gn+TbCZWFjDOnjpNf8It6mvfF7Wrshk\ne5w3kiLQfsJTASNvcHoCbb1hMroJq6j3qk51IKzfg6IxbjUxWLmrFEV5o1D6/DQU5Y3Cyl2lSEuw\nGu4aOcwskuxyEx6/IOH1r0+r71Hn4SCIYtw4yu3KOaYo6j8BPAjgFABl9BKAyR07LPX9GACvALgb\nQCWAfRRF7ZAk6R8d/V5G23yRzTbCm3g0eoP48kRNlNSaotd3Ytk0NPmMW0wrEZDIqmMPxyPZblbb\nmrr9vNoWVcnbM9Fy1X24xvKafBeS7WasLRiLzXvOYm2+C56AoObq9bWbogyrLyhi+0GtPN32g5X4\n2W3D4LSQjQVCz6PBE0Cyw9Tqc9L6yAa+zh1Qpd0I7cNmYrCmwIUnwrTY5QJhOSdWlKCRaVv2wXFk\npjpQePMQvDzbhWZ/EH4dFZwfjOiPLXsr1FQKoxS0Ob/fg5dn54TqOijDHGcjO6zkFivBDpqSL3bh\nTQz01A1UpytkvyvqvVj1SWlIy7Xtkcn21HEQtaAroye35m7rDZOeGsWKWdl46aNS1bGN9I8UX6G6\nicOU1V+pj3/21O3wBgXdDpjKrtEln4iqS3488+fDWD4zG2W1Huw4dAFPbJbbRxftOBYXqiHt9X5m\nAxguSdIkSZLuCH11imMcYgKAMkmSyiVJCgDYAuBHnfFGrUU5lCjuDNcAPDN1JJ7bdkRVorhjZBo+\n/Uc1Xrx3DE4sm4Z1c8Zh/5kG8KKEBzbsQYJVv8V0Zn8nVn96Iip6snxmNuwmBkFRwutfl6PZx+OR\nt7S5w09vPRx1J6dETHy8gBSHGQ/dPgygoNnWCOhEwewmBgU3XatJJym46does7VEIERy0RtEX/tl\nIscJitYxKcq7UgK8CJqCJteXpuTHTTQFC0uDZSjM+f0euVg51aHuso1cKqdIeAI81s0ZF6Uisfaz\nMkxZ/RVOVuvvkDX7g6pWfZ07AJuBo2Bkh1fMysa6L8rUtLX+CRY8P2NMVDTMKHWBpik4rSwgyaoo\nq+53XVFksq11HD09RYDQftqalhMVQS8cj78dr8bCOzLV+qtmn9Y/utDow66jVZpd53UPjEVqghUO\nC4vzF32GqaGiKGHFrlJNiirQsh7jJSWovbdKRwEkAajphLHoMRDAubDfKwHc1BlvZKapqG53a/Jd\nsJsZ/Gr7URTljcLAJBvmb9yvG324a9WXOLFsGn79l2NYeEemeqdlpKmp3HUFeFHtCHWyWo7a/vTW\noTDRFObdMrTVxh5Gj9MUBVGCRvheyWeOVKEgKhOE3oYcOW7dOVaixdXEOb5iRAl4+ztZrx0AOF7E\nju/O42e3DoPVzOC70/UYPyRFjbB6OB4PbyyOslmrZufgVVWBJ4jqS37Vpuq1cl4+M1u1cUoh3OXs\nsChBVvmxtjRzenm2Cx6Oh8PMgGFowxS71lIXuioySew4IRK9iLDRDVP4PKVp4M7r0zS74a/OHafx\nj8wsjXtzB2FbcSVeui8bA/va5LUS1v135awcLNl6SLNrxNIUlm7/h6r+oleEqzwe65Sg9kaOXwRw\nkKKoXRRF7VC+OmNgbYWiqIcpitpPUdT+2traKz6OycTgH1WXVC2/9XNz8Y+qS/AGBHXroLXow41D\nktHs47Hj0AV1y+HGIcmq8Q6/o185K0e961r+USnuWvUlJAmhqG0G/vj1aTT6gkiwsoa5w5crpGtP\nDhpRmegaOmquEq4cXhDR5L985Lh/qGlEb3WOO2KuKk2TwnelZowdBJuZhpfjsf7L0/jFtiM43+iD\n1IqCRf9EKx59qxhlNW4kWE1Y/tE/VZv64ZEqbD9YiVfn5Kp5j9sPVuJUrQdAywVXzw4vn5mNXUer\nsLbABaeFhSRJkEQJCTYT0pNs8AXllARFezXe1Q16ox0nNtWYK82pFsXofOFH3zoAq4nGq3Nk/yg1\nwYKVu0oxM3cQrCYaD2zYA4eFRZMviF1HqzBj7CC8V3xOzUdePzcXiRYWP39zv+oYAy3R5MV3ZUUp\nwcR6XbX3VvZNAMsBHAHQFZUq5wEMDvt9UOgxFUmSXgPwGgCMHz/+irO4vZyA9V+exu7y/epjE4el\n4I8Ppqh3TK11Vlo+MxsOiywi7/bzqvP77HuHseqTUjU6XH3Jjz42E6aMTte0cfYFBLx47xgEeBGr\nPj2J3eUNWF+YqzlO+B1YbbNfN9JtC/UkJzlo8UdHzVXClXPJF4Qk4bKR434OCxia6rXOcUfM1fCm\nSUDLTttrhblgKAr//RMX3P6Wmoh+TrNhdFcJQiiR3pUfl+LVOblIsEbruSstnZX0iJc+KlUvyIod\nVooC590yFJAkUBSQYDXJDmbIGY60k+2JxBG6BmJTW+dKdi6MVGacVhMe2LAHaYkWFOWNQnUTBzcn\noCjkSDf5gth9qg75EzKwZa+2wy9LU9iy71xUDcLymdl489vT+OmtQ/HHr0+HKcHEfl2110vySpK0\ntlNGos8+AFkURQ2F7BTnA/hJZ7wRTSGqsG7FrGwAskbfujnj1A504Sd3bYELAV7Ee8WV+Nmtw1CU\nNwrvH6xUJ0h4e9SN357B8x8cx4ll0zRtnFfnu/D3kzUYNSAJyz8qlf/xMw2wm+QuUuEFc4pRv+gJ\novhsA9bNGYdEm0mdmLeN6A8nSxsYchdoChAliWy7EXolF71y6+jLqVXQNIX+CRZ8f4nIuV0praV+\nSZKEi15J0yBk3ZxxeHl2Dp5695Dm4rny41LVSd59qk5Nsfj+kg+cIGDLHvlCvHByFjwcD14Qsep+\nF85f9CHBwqK2mQNLU6ht5kBTFBa/U4KXZ7swculOnFg2DZDQJjtIUhcIvQGjwNr5iz7VD/n+kg9r\nC1xIdrQobm0/eB7Tx6Sj+GwDCm8eouohWxkKDEtj4vB+SHGYNcX/Kz8uxYdHqvDYnVn46a1D8did\nWXGzrtrrHP+doqgXAewAoF41JEk60KGjajkuT1HUYwB2AWAAvC5J0rHOeC+aApJsJo2zaWZoBEUJ\nCVYTmvxyxMluYrG2wIUUpwUV9V4s++A4qps4rMl34fWvy9Xoxf03DsaDtw6Fw8yq23pKlNjD8Vg/\nNxcOi/y3d/ZWIH9CBj48UoUdhy6oihg0TYGhgR+PG4QBSTaU1biR2d8BX1BEZn8nfrj27+DDJE9Y\nmpKNPXQMOSdAEEX8/I3WK60JhJ5MgycIAEi+TFoFAPRPtKKmuXdGjjsCD8dj0eRMNYJUViPnIiqp\nX8q2q/K3jd+ewc9uHYZVs3OQ1seqUXlYMev/s3fvcW5XdeL/Xyf3yVw702k7nd7pRehtSgcUFZWL\nArpbEBakPxGUFXSXtSiCLl/8rt3vyvJlQZbWdV3BXQV1iyII/SqI4mW9VaTQ0lKgZSil98vMtJ3J\nZCa3z/n9kUuTmSSTTD5JPknez8djHtPJJJ+cTj7nnZPzeZ/3WcYvXz3ChWdM5dPffSERwx68diUf\nf9fcRCx95uVDXL5yBmsf2crGlw7yhy+el1IR496fR48XvwqY75U0M3OIDUPjD0VkoC0sJVv1ivgV\nmFsuXMAnz52HPxhm51cuSYxxAC5b0ZkYGNuV4pc7j/KZDVtZc/58pr97Lms37kgZeMfHRPWuUylB\n8c1Lytk38u3dK2Lf35F0W9FKuQForZ8CnirW8ZP5Q5HUskNXd/HIn/cmBrz3X93Fi2/1M6+9kdZ6\nNy1eJ/deuRxfIMymN3q5/t1zuf7d8/C6o4PRF9/q5/SO5pRZ4vWxpPTrv7M55QTZtLuf+65aztZ9\nJ7j1okUpM9h3X7GMz/1gK8cGA9HBrtOe2CgkW9pEciBHwadHlZSbyDbRQlSy/qH4zHH2Um4A05rc\n7I7lror8OW2Kq8+eNSb1y2lTOB02Vp89i6FYXqE79rPHaaPXZ2AYmrYGF/d9pIvBkTBozRVnzhyz\nIPqGh1/gW9d14w+GWTC1gektc3n8xf2JN/G7f7aTWz+wiGu+9VxKPH1iy37Wr15BncNWljfhXLbs\nFcUlH07SyzSxFr8Cc9acVv763HkEIwYn/CG8rQ7cDhtf/ssz+P6f3iIUMRgJRgiFDcI2xdMvH+GD\nSzu4bMUMvv37N8emicbSQf3BCDYVjQX9/lDZ+0ZeoyKt9XnFaki5hQzNzaOqO9z8SLTuXjQHuI8f\n/HkvHzl7Fp99JDVnZnqLh3eeNhl/bDe95E9bT28/lJgd2dfvp97lwO1Mn9MztdnDP394KX/90NiK\nGHddvpR6tyPRgetdY2uIZsvTkSLxQpxKqxgv5xiiW0hveqNv3PuJ9MIGiXKTcCqmPnhtN0bIiO6Y\nlZRWcc+VywiGDSY3uDjuD7JmQ2osndbkyVjT+KMPPpdy3xfeOsHGlw5GF0i31/PAtdErdfG0tOvP\nnUddGd+EkzdoiP9tZLKidOTDSXYpV0g80ZncB6/rps5pIxQ2MDT4YjvgJfe768+dh8dhY/4dTwPR\nWeF/+atlNHocNHqia61+9dqRxJjIHwzz+9eP8ZkNWxPHaPI4LdE38qpWoZRqVkrdF18dqpT6qlKq\nuViNK6VM+XHJ20BftKSDz6bZSno4FMFuU2m3IH3foil8aP3vuOZbz+F12fmfXUcZGE6/J/nePj+G\nJm07ZrV5Uzqu3W5jcr0755WoVl9pLUQpJHKOc0irmNrkYWAkzLD0kQnJtn10ph20DE1KGcrk3w2H\n0sewgeHQmPve8v6FiaoUq98+O3HJttHjxG6z0eB2MBw2yrblskxWlJdst50fm01R57AxOBJmIBDO\n2H/RJCrFQPSc7pxUl6hdvnbjDt5/xjQa3NHzXBGdWU4+RsYNRErcN/It5fZfwCDRzUCuAgaAb5vd\nqHLIVBotXncPorvCpF1g4nLgzTC4ntXmTRTWdtgU3bNbefiPe9Ju/nH/s7vwuu0ZB7GjB775lO6R\nIvFCwPGhIF6XHU8O5/20JtkIpBBZt4/OMnDO9OZY73Ikto2Ox7B1V3fx5NYDY+47q83Lzq9cwgPX\nrqTV68QfimBonbI1bTkHqDJZUV7y4SQ/8RQUQ8Mjz+3N2n/juccQ35AnzEWLp/LTNefyvU++nVDE\nwGG3sehLT3PDw5v54sVvY9Xy6Ylj+APW6Bv5Do5P01p/ObZj3W6t9T8C84rRsFKrc9rTBt5nXj6U\n+Nk3kj7Yv37Ul9iCdPTvBofDfPTB5+j6Pz/npv/eQiBi0HNsKLH5R2JP8p/v5MhAAH8gUpRBbLXv\nIy9ELvqHxq9xHNcR2wjk0MnhYjapanlddu69cvmYGu9elz3jwNk3Es4YZw+cGOap7Yf4xjVnsuvO\n6MC3we3gZy8fGXPf14/4WPSlp6l3O+j3h7jhoc0svONpbnhoM31DweibfRkHqDJZUV7y4SR38RQU\nr8tOk8fBde+cm/WDbzw3OT7p98eeY1yytCNR7/z2x7djU/DBpR1s2t3HrY++lNgl76w5rQwFw6wb\nNXlYjr6htM69NKBSahNwm9b697Gf3wXcq7U+p0jty0t3d7fevHnz+HdMwzcS4vWjg5zW3kiDx4Fv\nJEyvb4T2Rg/eWMWJQyf8nDG9ecwCk6e2H2LrvhPc8aHTU/Lk7r+6ix/8eS/3Pft64nnOmdfG2lWL\n+fqve7j1A4tSEtPjOU+ALBQorrL/MQs5V8XEXf+d5zk6OMJPPnPuuPd945iPC2SpgfwAACAASURB\nVL76P/zrR5bz4RUzStC6tCr2XPUHwvhD4ZRaxg0eO16nA7fTRt9QMGXNxH0fWc6jz+/jI2fPQsGY\n9Rtuu41/+umriao/a1ct5rT2eg4PjIxZwByvSvHAtStTdt2DaAyOL2wuZ95plS0IK3vD8zlPJec4\nd75AmN/tOsp7F07BFwxz84atXLxkKpcs7UgtYLC6iwPH/XhdzkT52h9v2c85p01OW6Fi7arFXHT/\nb3HYFDu/cgnXfOs57rlyGY1uRyLtqUh9I6cD5Zvd/Gng4aQ84+PAdXkew5IcNkVni5dPJZUJiq+s\nvuZbz7Fpdx/PfPY9KbWLe476EsWun9lxhGDYYO2qxSyY2sDrR3y01btY/6uelOeJ5zGPLko/+gQo\nxZajQtSa/qFgzjPH8bSKQyclrWIiIlrzmf/eOuZN8YFrVxIIGbjttkSZtX39fhxKsbt3iMkNbkCn\nlGD7l59FB7trVy3m2GAgUXFiVVcnjR5HYsFdcvm39atXZL18blPlrVtcqq2lxVhSszoqlw9odU4b\nK2e3cnQwwO2Pb2fT7j7aG91c1tWZUvpWKfj2H95KjG3iA+BM6ajJ20YPByP853XdRLSm3u041Ral\nytY3cn5WpZQNWKS1Xq6UagLQWg8UrWUllm1ldXxzkPlTGvhGb2ppp929Q8yf0pBS9u3ZW97L2o07\nWLtqccYd9eJF6evdDtASHIUoheP+ILNavTndt97toNHj4IgMjick2yYg/kA4pbQkRN9M77tqOYMj\nIZrqnATCBp/7wdbEm63DplgwtSGxRfTqt8/C0NGUOI/TDhomN7q57yNdiTdXfyj7TqEyQK1dtf7a\n5zJ7HokY+EMRHvnzXq5/9zy+98m303PUh9dlT9t/165anOiv8QFwprKzPUd90fTV1V3UOa1Rvi1Z\nzmeE1tpQSn0B+GE1DYrjsiWYf+mJnaxdtZhAKDKmBvE9Vy5jJBThlYMnE7s09foCrFvdxSPP7R1T\n02/96i7q3Q523XlJzX5aFaJc+oeCOZVxi+to9sjM8QT5A5G0m4D4A5GMC5inNntSyrLdfUV0l9KN\nLx1MVKaYP6UBlnTwTz95lae2H2LXnZdgU+mvuMmWz0KkN145QcPQDIciKODvLljA3j4/9z+7iyMD\nAb5/w9vHre4VXYwX4oktB9LWNm5rcPHAtSvxOu0plWPStaUc8n3WZ5VStwI/ABJTqFrr/swPqQz+\nDJ9uhgJhjgwEuOj+3/K7L5zHF360LeUFvO3Rbdx31XLmTG7gwvv+J5F701rn4hPvnovXZU9c8suU\nOiGEKL5g2GBwJJzI68/F1CYPR6RaxYQ4bKTdBMRhI7EifXS83dvnH1PjPZ5Kse7qLh7+454xaziy\n7XInl8+FSG+8ih3BcGTM3g3xfP54AYJMV8XjE4FrN+7gia0HeXHviUSKxXBss49A2IiWWLQpvDZl\nueoh+Var+AhwE/Bb4IXYV1WsKrIpxT1XLktZIXnPlcuwK5VYcT29pS7tCzilyZMoHfTNj62kzevC\n4bAlamo2epw5lVsTQhTPiXiNY5k5LomQocfUfr/5ka2EDI1NMSberl/dxf3P7ko5xvN7+lkwtYG7\nLl+K22HjipUz817Fnk/JSyFqRbaKHYah0/bfLz62jZvOm8/9z+4aU452/eouJje4E6Vr610O5k2u\n55nPvod//UgXAF//1ev0+gIYgNd1qi9asXpITlOXSqkrtdaPAhdorXcXuU1l4XHZuffHO1MW2937\nzE7u+0gXj/1uN2tXLWY4mH62Y1+/P7aIBAm+QlhUX2zr6Hxmjqc1eTjmCxCKGDjt+c4l1LZsOcda\n6zEL8rwuB0cGAin3j1+9C4QN/veTOwBSZqC8LnNngausgoQQGWVLOfKHIlk3RjsyEKDe5eCbH4uW\nUxwMhHHaFB6XnT5fAJfdhsflSHvl6OmXD/Gxc+bk3JZyyfW6/u3Ao8CPgDOL15zySU6fiDtnXhtD\ngTCXr5zBbY9uY2qTO7E4LznnuMHtoM5pwy5vnkJY1vGh/GeOpzXXoTUcGwwwvaWuWE2rSkNZUtUU\nig2xSj8QvcQajhhp46tdqZRSUPFSbg9e1236wDjbAiUZOItqki3lqM5py9h/9/X7WXd1FzYF3/nD\nm1y2YkZKPvH9V3fx0B/38Il3z01b5OCuy5eOSYVKbkud04Y/GEmbilrSv0+O9+tTSv0cmKuU2jj6\nq5gNLJVMm4DUOe00uB3cdflSvnpVF067jW9+bCW7ErsvuWh0O2RgLITF9fsnMHPcHL0iJLvk5S/b\nJiBel53Vb5+V2Bhg7cYdNNY5ufeZ6NW7xOZIz+zE4yrNhhnZthSOD5zTbSYiRKVKl3IUP9fDhh4z\nJlq/uospjW7a6l24nHYuWtLBFx9L3Ub6s49s5aIlHRlnnme1edP2XZtN4XXa6R8KcePDL5S9n+U6\nc/whojPG3wW+WrzmlM9wrFzJ6BrGn3j33Gg5p9jlvhP+EHf+euwqaSGEtfVPZOa4KTpbfPDEMGfO\nmlSUdlUrfzDCYy/sS4mpj72wLxZTndS7HCm1jA8cH0579c4fjJRkUV22BUr+YPaV/UJUC38ows0b\nttLe6OafLl2cUsvYYVO4HdGr5L5AOGsN40wzz/5AhAZP+j4zXgWNUsrp2bTWQeBPSql3aq2PZbqf\nUuprWuvPmNa6Eqp3O1j/q56UldAOm+LvLliAPxBJu8NLtlXSQghriQ+OW+qcOT+mc9KpwbHIj9dl\nH3PJ9e4rliVWoHucdurddq75VrR025rz57Pu6q6UHMX4DHEpatL6M6wp8cdym622ml6IYoif6+HY\nbO1N582n0ePEYbOlpI96nfaMNYyHAmHqXRnyiLP0GSv1s7yiTLaBccy7CmhLWWXLj/M67axb3ZWy\nVWK+l/Umkq8mOW5CmKd/KEiL14kjjxSo5jonjW4HB09IWkW+hkMGT2zZnzJz/MSW/Vz/7nk0eGyx\nPEN3yoxwncN26udAtOQTCnwjYWw28DjGxkCzYmvWBUpZBs4yQVKZ5P01veRzfeNLB1Ny/OMD4+S/\n3eix0brVXbjsCmVT1LvsPHhtN1535r9x8rEyzjaXoZ+VvVcrpa4E1gKnA2drrTcn/e524K+BCLBG\na/1MsdpR57Dz4LUrCRs65RKCx2EnEjGoc9r53ifPPpUoHogwEopgV+BwnEogH4qt2gwb0Y1F4j8b\nmsSLb1MKVLS2cpyhT93f67IzHDQATa8vyMxWL72DASZ5nTS4HQQiBkbs+CPBSOKxuZx8I6FI4rHp\n7m8YOnq7O/bmlOENKdPxk48pwUdYSf9QkNYct45ONr2ljv3HZeY4X16nnU+/Zx4BQ6MUTG/x8On3\nzCNoaCIRg0jEIKwBHcsn1NGFefGPLhqNy3FqkOwAhoLhRJx12xRhHa00FI4Y/HZXH3PaGpjV5sU3\nEk5bySK+41e920E4YvDdTfv42ctHEgvv0qVvANgUrF/dxZoCJkgKJfHUPLnsDmfGc/iDYbyx8YJN\nkUhJsIrR51Sdw4ZNwX9ccyb+YISpzR78gQguGwQMjaE1wVCEkKET/bDVG93Mw21TBA2NNz4O0tH7\n25QiGIqgYz8PjYRTxkojYYO/+d6L4149KrWyD46Bl4HLgW8m36iUOgO4GlgMTCe6AclCrXVRCt8Z\nhjGm4PW6q7tw2RQnR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nOBBcCf8z1+vqqlDIkQAg6fjO6ON6XRnMFxk8dJc51T0ipyILFU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Zihe3V+JEnQOjs1JiPSRCgpPITZi0aoSMBkppSFbb6EZ1nQMmhg6LmY0ub1AepBWH1xTb8bMJ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\nhQDUTO4F1wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43b8bd668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seaborn.pairplot(cluster_centers_df, diag_kind=\"kde\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Paired plot of cluster centers in the source space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
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EqjQdXJvZtxuVufv57apUFBUCJ1kxcq3ZQkRERESkWjMrNC4AhoHjzGwJRw9cXASc2MG6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\n6T+WfqAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c65c7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seaborn.pairplot(cluster_centers_df_exp, diag_kind=\"kde\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Agglomerative clustering 1000 cluster centers into 2, 3, 4, 5, 6, 8 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JVBulFAoKClBSUoKQkBAYjUZvh0RETlJKYc+ePfjll18wePBgREdHezskInIS87fxY9FP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\nt3l5eZBSwmq1wmq1wmKx4MyZM/CmYa5ELdmoUaOcbn8tFgvWrl3L7W8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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c405198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dlJSUzg2oizrzzDP9/mEG+Pzzzzs5GiFMubm5TT6mlMLhcHRiNF2X5K/oipo7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\n4+MZMmQI586dIxAIkJiYiNVqlfwVUXFRn+lvbfP2zOOlEy/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chMPkYG7mXG7pfEut/RIs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\nCCGEEO3c/w9JeWSPMBhShQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43b9f59b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sw67nOY8lDO6S1KbxtFdnnHEG9XXxW7x4cRtHo5RjX/DXUE8JFhLwMqRtA2qn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\nDp+fogGgadOmFb4vLi5m0aJFlRbscrvd/P3vfw+ovT179jBkyJAq2zx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gylBYFTgtBjM7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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c5dc358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HYDCI2+1WsS/SjXxv4Pe4eMDFFPmL6OnpSS9vr2SHJCLx6vs96HMxBIvA3RM8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\nOGn6hRBCCCGEaOGk6RdCCCGEEKKF+/8B3IC2nZBea+0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c3efbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+OSUmPfJIBsHqAo8HHn44o+UDEpGQ9erVq0n3iUj0PcIjmCCjvj14eIRHohCR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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c66f860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SRyr6pcXYvq2EC05ZQO73xbjdhrKyIOP/0p9b7xuEMSbe4YnIAYSCWyn58RRscBPgBluK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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43bac3f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oxMSJE7FkyRLml8jHMb+BgcN7yG/ce++9OHLkCPLy8pCdnY3CwkK8++67+OKLL7xdGhHV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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43b915da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YDOjdu7fTht9iseDkyZPYv38/cnJy6obi5ebmNltDS7NoFRc7n5Sw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c300eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pqfRASubpTxXN0y+pFo1G2bFjB8OGDaOwsDDT5WQ1zfMtqeb7Pjt37mTo0KHK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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43af6aef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IRwpFGjKfz1fhEAC/31/P1YhIdWQX+HFV0C0e8yi/jYmafmkU+iX1C9n0x5t4ft7+51Go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\nL4QQQgghRJiTTr8QQgghhBBh7v8DHI143aMBdYoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43af03d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IIiMjueuuu3j99dfZvXt3metde+21tRiVNBQul4v+/fuT\nkpJCRkYGkZGRtGrVqtq9hHl5eezZs4fc3NzC60t88803tGvXjsGDB+NwOLj00ksLr+Y5fPhwduzY\ngcfjYfLkybjdbowx3HzzzVx33XW43W6cTiefffYZX375JVOnTqVFixYYY7DWYozhkksuYdCgQbz3\n3nvMmTPH79jgghNyy3L8+PFSy3bt2lXs4GHQoEGFs4dlZWUVO4goiKfg94L8XbBggfJXgq628rfo\n+7/g98ocqFprueWWW0hISGDatGlBmbK3JpSZvyxgN+XkL8pfKVuDOpG3JvznP//hxhtvbBRFfQGn\n08kFF1zAf/3XfzF//nzS09O5/PLLefrpp9m0aRO33nprmds6HA6SkpKIiYmpxYilLqiLF/dJSUnh\n4MGDuN1uPB4PDz74IKtXry7sGbz00kuZOXNmqZMM8/Pzuffee1m7di0ej4fbb7+dW265pXDIDRQf\n3lPW+P6cnByuv/56kpOTiYiIALxjh/v378/06dP54x//WDg1Z0lFP/SLGj58OH/7298IDw8vLKjy\n8vL49a9/zbZt2wrz96c//SkvvfQS6enpXHHFFcydO5eNGzcWm6GkJOVv41XX8zdYNmzYwP333184\nPKiuKTd/B2zkNsrJXxwkkUQMyt/Gps6cyGuMGWuM2W2M2WeMua+m9xdMr7/+OhMmTGiwBb/D4cDh\ncNCkSROGDRvGmDFjGDNmDC+88ALr16/nscce49SpU2RnZ/Ppp5/SqVOncgt+p9PJI488ooKhAVm2\nbBl9+vShV69ezJo1K9ThVMqpU6fYv39/YcHwf//3f3z++edER0dz2WWX0apVK7788kt+//vf8/33\n3xcW2GlpaTz22GOFBT/AzTffXKzgB29RXnArz7Bhw/B4PHTp0oVly5Zx1VVXMWDAADp27MjMmTP9\n9oQ6nc4yz/lZs2YNv/nNbwqn1jTGcOLECXr06EF8fDwvvvgi69evZ+bMmYX5u2LFCjp27Fhuwe90\nOnn00UeVvw1IQ8rfYLU5depUUlJSQl7wl/z8jY+PLz9/B3Qst+B34uRRHlXBL+Wq0eE9xhgn8CwQ\nDyQBm4wxS6y1O2pyv5WRkJDA22+/jTGG66+/nosuugjwjqn9wx/+EPJ/DMHkcDiIjY2lY8eO3H//\n/Vx55ZWV2n7EiBHlPj58+HD+/Oc/VyNCqUvcbjd33HEHK1asoHPnzgwZMoRx48bRv3//UIdWaOvW\nrbzzzjs4HA5uuOEGLrzwQsA709Thw4cL10tPT2fRokWMHDmSgQMH8uKLL5KSkkKPHj148sknixX0\nLpeLAQMGsGTJksJl1ZkIIC0tjcjISH72s5/hcrnYsGEDaWlpXHLJJQwZMoSFCxfym9/8htTU1MJC\n31/B73A46Nu3L3369GHatGlccsklhY8NHjyYcePGlRvHyJEjy318xIgR3HdfveqXkXLUi/w9e5x3\nknbhMIYbuvTjwhZtAcjOz+Pwke/Alwfpnnyy3PmkePLYlZPKgIgWdAuPxlHJq/0uW7YsZGP3q/v5\nO5IK8pcR3IfyV8pX02P6hwL7rLUHAIwxi4DxQJ0o+h966CGeeuopsrOzMcYwZ84cpk6dSnZ2NrNn\nz67zJ/ZUlsfjYcyYMfzjH/+o9LaLFy8unDmgLHPnzq3RuZildm3cuJFevXpx/vnnA3DjjTeyePHi\nOlM0PPDAA8ydO7cwf2fPns19993HuXPn+Pe//82AAQNYt25dsbH0hw4dYunSpYX3b7nlllIzfjVp\n0oRrrrmGZ599tnCO/X379hEbG1vpGPPz89mwYQMdO3YkPj6eZ555hnPnzgHei/oNGDCAwYMH86Mf\n/cjvbFhFeTwe4uPjmTt3bqXjUP42PnU+f79Zw9y9m8l2uzHA7D2buK/PMM7lZfPv/d8wILIF6zJP\nUvRMmDAML3eMo0NYExxFzqEJ1NmzZ0N2orrH42Hs2LFVy18Wk0gF+ctcHA1rQkapATVd9HcCjhS5\nnwQMK7qCMWYyMBmga9euNRwOLF++nGeeeYakpCS2b99ebI7rrKws/va3v9V4DDWlS5cu5Ofnk5yc\nXOY67777bqWL/qysLCZMmFDuOp07dy7sZZWG4ejRo3Tp0qXwfufOndmwYUOxdebPn8/8+fMB7wnv\nNW3p0qXMmzePo0eP+s3f6dOnF94/ceJEhe316dPH7/Ca3NxcOnXqVFj0P/nkk8ydO5eIiIiACmNr\nLXl5efz973/n2muvpV27dkyZMqXUCbTbt2/nwIED/PrXv+bQoUOFVxEvyzvvvFPpoiGQ/O3SpQsX\nXHBBpdqVuq1O5m/yfubt+5qjWelsTzlJPj98o5Xlzmf6ji8K75/ILB3P1c1i6BEeTROHN2crU/AD\nDBkyhLfffrtGvsHv2rUrubm5wc9fsphABflLFy5A+SsVC/lhobV2vrU2zlob17Zt2xrd19/+9jeu\nu7nWC4kAACAASURBVO46Pv7443KvHlgfORwOWrZsWW7BD5W/NoDH4wloyrVvvvmmUu1KwzB58mQ2\nb97M5s2bqen8ffjhh/n5z3/OJ598ErT83bt3r9/e9fDwcL7//vvC+1u2bGHy5MmsXbu2cE79Ah6P\nB2st+fn5nD17lm+//Zb333+fEydOMH36dO68887C3tayREdH87//+7/lFgxQtfzt1q1bhett27at\nUu1Kw1Cr+bt9HT//ajGfHDtAYsqJYgV/oK6Mbk+Uo+p9lUOHDmXgwIFERkZWuQ1/HA4HrVq1Cn7+\n4qEbAeQvyl8JTE339B8FuhS539m3rNacPXuWu+66i7Vr13Lw4MHa3HWt8ng8ARXekyZNCrjNo0eP\n0rdvX9LT08tdb9SoUbRs2TLgdqV+6NSpE0eO/PBFXVJSEp06darVGLKyspg3bx7vvfceGzZswOVy\nMXz4cLZs2VLh+zIQr776KsOHDy82pj8rK4ulS5eSkpICeMf4ezwedu7cydSpU3E6nVx99dVcffXV\nuN1uPvroIxwOB3v37uXMmTPceuutXHfddYXfIBhjuPTSSzl06BCHDx/2O6d+bGws8+bNqzBe5a8E\nqi7k7+mcTO5OXMXak0c4lJla7fbSPPl4rK30WH74Ya7/q6++Go/Hw44dO/xeoK4qPB5PhcPnoJL5\ny1H60pd0KshfRtES5a8EpqZ7+jcBscaYHsaYcOBGYEkF21TK3r17mT59Otdffz3Tpk1j69athY+9\n/fbbtG7dmtdff71BF/yB6t69OyNHjmTo0KGEh4fTsWNH5s6d67f3we12c9lllwVUWK1YsaImwpUQ\nGzJkCHv37uXgwYPk5uayaNGiCk8Wraw9e/bw17/+lbvvvpulS5cW+xDes2cPffv25f777y8cllAw\nRr6si1pV1v79+7njjjsK57/3eDzs2rWLZ599liZNmhAWFkarVq0AiIqK4vzzz8fj8bBkyRJ+/etf\nc+edd7Jx40bCw8M5fvw4J0+eJCEhodgFuRITE1m9ejWXXnopkZGRxYYHhYeH07NnT5xOJ1u2bCk3\n1u7duzNixAiGDh1KREQEnTp14umnn1b+il+1kr9pZ5j+7Vqu/+oD/rxtNYlnf7i2xL8Pb+e8Jc/w\nxuHtQSn4Ad5NTSLHFj/XrjK95y+//DIzZsxg06ZNQSv4A1Wp/MXNZVxWYcEPsALlrwSuRnv6rbX5\nxpjfAcsBJ/BPa+326rZbcBGa9957j9/97nfFes7+/ve/A9C+fXu/F7cJpWuvvZbc3Fy6dOnCrl27\n2LFjB1lZWbUyQ9A999zDhAkTGDNmTOFUf8nJyTzwwAOcPHmSGTNmFFt/4sSJfPfddxW2++CDD+rk\nvwbK5XIxb948rrrqKtxuN7fddhsDBgyodrsFw2Fefvll7rrrLpzO/9/encc3VeX/H3+dLE2TdGGz\nBQoiW1lkqVKVRRlQNgXhx3xRO24jfhUFFNGvIoqP+bqMIsjoOA8dt9GviiiiomBBQUQEZ5BNZBMs\nO7aAAi2le5rk/P5IqC1N26RLkqafp488TO+9uefThHd6cnPuuUYuuOACFi9eTE5ODgUFBbRu3ZqE\nhASysrJ8Dr+pr39zZ6/uuXr1aqZNm0Z2djYAzZs3p3nz5vz6669kZ2dz4YUXMmXKFNauXcuwYcPY\nuXMne/bsoaioiJMnT7J48eKyfa5cuZKMjAyuuuoqli5dSl5eHkajEYfDwfDhw8nOzmbz5s243W4c\nDgc//fQT9913X7WdlxkzZjBu3DiGDx9elt+jR4/y6KOPcvLkSZ566qkK20t+RUPlt8hVisPtZuGR\n3Uz/cRXF7t/z+ezPng/nraPtHC+u/071luIc3jp9kDuadaRUa6KUAbOfJ/TGxcXx2GOPMWLECN54\n4w127doVtL+/AeeXCRzBj/zymJy8KwLSqC7OlZOTw5133snnn3+Oy+Wq1/l769PZS4+f7bB069aN\nJUuW0KVLFwA++OADbrzxxqDWNGPGDHbv3k16enqlzoXVauXEiRPY7XbAc4S1W7dufu03nP79iNCq\n6eI+TqeTw4cPk5uby6lTpxgzZgwTJkxg8uTJuFwuzGYz27dv5+GHHy47gdYXg8FAdHR02R/P2urb\nty8jR46kY8eOrFmzhnXr1vHbb79ht9tp3rw5R48exeVy0b17d5YsWULnzp0BeP/997nppptq1abB\nYOCvf/0rL7zwAtnZ2X6/h82cOZOdO3eybNmySpmz2WycOHECm80GSH5F7dSU32xHEXds+oJlx/fj\ndLsJ5dx2zQ1mbmvWgatj2mAzmDAAUYbfT8g3mUy4XC601lgsFrp27Vp2cby65Le2AsovGXTDz/zW\n4rwIEZn8vThXQ4/pr1dXX301W7duDdmUW9WxWCxERUXhdrtZvHgxI0aMIDMzE5PJROvWrcu2y8/P\n59Zbbw16fYcPH2bjxo0+/8gbjUYyMzO54IIL2LFjh98zGO3evbu+yxQRSmvN3r17yzrq//nPf7ji\niiuYPHlyhfH0ffv2Zfbs2UydOrXKfbnd7rLHlJaWVpiSMxDbtm1j586dKKXKZuWxWCx8/PHHXHXV\nVWRmZmI2myvkNy8vr075dbvdvPLKKxQUFAR00OLIkSNV5vfsVXQ7dOjAzp07efLJJ/3a57kzCQlR\nFa01I779kO25JyjVoZ/KOsddygvZ+3glez/PJPbhDzEJZUf6O3fuTGxsLKWlpSilMJvNZY+ra35r\ny6/8JndgJzt5Ej/zi+RXBK7RdPp//PFHduzYEbIOv8FgICUlhf3791NcXIzZbMbpdDJ9+nSmTZvG\nihUrsFqtjB49mpiYGMAzRdq5li5dGvRZg+x2O3FxcVVOYeh0Ovn222+55JJL0Fr7NQ44MTGR7t27\n13epIkIVFhZWGIZnMplIS0urdJXbqKgoUlJSaNmyJadOnapyf7GxsXz44Ye88cYbLF++nLy8vGrb\nV0qV5dfhcGAymXA6nTzwwANMnTqVlStXVspv+ekOz/rss8/q/A1jXl5eQN9S2O127HZ7lVMqulwu\n1qxZw4MPPhhQfpOTk/2uQTRtW3KOsycvO2QdfgWkNEtgf/5pHC4nJoMRp3bzQPIlTO02gDNnzmAw\nGIiPjy87gf7c629A/eQ3UH7lt+0aHuRBNNqvcfyJJJKM5FcErtF0+g8cOIDJ1PDlKqUwGo243W7c\nbjcmkwmz2czcuXO555570Fqzfv16fvvtN/r37192FPC2226rcd9ut5tly5Y18G9QkcViITY2ln/9\n619VfpU/ZswY7r///oA6IjVNDSpEeeeeeHv55ZdX2akvLS2lefPm1Xb6O3fuzJ49e/jss88q7Luq\n/M6bN48pU6bgdrtZv349J06cYMCAASQmJgL+57f8hb1qIyoqin79+rF+/Xq/8ib5FeHgQMHpWs2Y\nEygFGJXCrTVuwKQUZoOReX2GMqXLxbi1Zv2pLE6UFDKgZRKJ0Z4hqa1atapx3/WR30D5ld87xnB/\nzP0UEkB+kfyK2mk0nf6UlJSAj/LbbDZGjBjBsmXLKgwBMBgMZV/7nTt9ntaadu3aMX/+fBYvXozV\nauWmm24qu4qhUoqBAwcGVMepU6eYOnUqH330UY1X+f32228ZPXp0naYjNJlMxMfHk5iYyLXXXlvl\nDD1A2XMQyMlMTz/9dMAXRRFNm81mq/BvMCYmhtOnT1NaWlrh6/ezDh06hM1m48Ybb+Tjjz8mPz+/\n7BuymJgY7HY7f/nLXyp9mNBac8EFF/Dmm2+yePFi7HY7N998Mz169AA82R80aFBAtQeS3zVr1jBm\nzJgK+VXeEw2NRiNms5nhw4eTkZGBw+Eo+50MBkPZvs1mM3FxcSQkJDB27Nga81tYWBhQfp955hnJ\nrwhI32YJOAM8ym8zmhiZ0JH04/srfENgwNO5NxuMFU4CBtDABbZ43rzkGhZn/ozdZObmDhfSI87T\nqTcoxaBWlb9Br05d8xuogPN7XyFFBJBfnkEh+RW106hO5E1LS+PTTz/1q/PfqlUrZsyYUfaV97ff\nfssvv/xCUlISJSUldO7cmT59+vjcl1KqbAhAXbndbnr37s3evXv9Gns8ePBgHn30UUaNGlXrNqdP\nn87cuXMxm8189tln/PnPf67yxEir1cpFF13Ef/7zH7/2bbVa63wCpYhMNZ0IuH//frKzs8tmi3E6\nnSilcLlcREVFobWmpKSEOXPmsH79embOnMkDDzyA1po1a9aQmZlJ27ZtKSkpoUuXLvTq1avKoXIu\nl6teZqVxu9306tWLffv2+ZXfK6+8kgcffJBrrrkG8HwA79SpE/v27Svb39nMtWjRgtWrV+NyuXA4\nHGUfDKZNm8acOXMwm818+umn3HbbbVXm12az0bdvX9avX+/X7yP5FVWpKb//9Z9PST+6D4cfnf9W\nUVZmdu/PA8mXoIE1J46QWZhHW6udErebLjHN6LXiTZxV9D9cE2bUyzcLdc1vbdx///2B5fdkX9Zb\n/cwv1oC+ERBNR0SeyPvee+8xd+5cHn/88UoBttlsDBkyhAcffJAhQ4ZUOJKllGLo0KGV9te6dWuf\n09o1a9asbFxgXa1evZojR474fbLh2rVr69Se2WzmjjvuKDt6enZGHl+MRiP33HMPLVu2ZMOGDX6N\ndZSTd0VtderUCYvFwp49ezAajaxbt47333+f0aNHM2rUKDp27EhiYiKfffZZhQ67Uoorr7yy0v4S\nExPJyqp8rb9WrVrV2zSUq1atIjMz0+/8rl69usK2TqeTjIyMCtsUFRXxww8/8PDDD7N3796yE2qb\nN2/OmDFjuPPOO8vye3ZGD19MJhP33HMP8fHxbNy40a/8ysm7orYW9h/L7N3reWr3+kpH/e1GE0MS\nOvBQt0u5olX7Ch12BVyZUPmqsonRdrKKKh9RbxVlrbehRHXNb6DMZnPg+bXGs5GNuPAjv3Lyrqgr\nrXXY3Pr166f9UVJSot944w2dkpKi+/Xrp+fPn+/X4871xhtvaJvNpvF8q6gBbbPZ9LPPPlur/fny\n0ksv6ejo6Apt1HQzGo0BbX/uY0+ePFnWvsPh0C1btvS57R133KFdLpdevXq1X/u+7bbb6u15EZHH\n3/wWFxfr1157Tf/hD3/Qo0eP1unp6bVq75///KfP/M6bN69W+/PlxRdf1BaLJaAMGgwGv7Zr165d\nhZ+jo6N1ixYt9KlTp8raLykp0S1atKg2v19//bXkV9SZ3/l1lupX9v2g+654S/f76m294PDOWrX3\nz31btO2Tv2kWPVt2s33yNz1vz4Za7c+XhsxvVX9/A86v/lrjx3+3acmvqBqwWfvRzw55R7/8zd83\nnfridrv13/72Nx0fH6+jo6N1TEyMfvzxx7Xb7a63Nr755hsdExMT0BuHUqrWbzpms1mvWbOmQg0b\nNmzQzZs313FxcTomJkZbLBb99NNPa621Li0t1YMHD/Zr3/X5vIjIE4r8zpkzR8fGxuro6GgdGxur\nn3rqqXr9d7pq1aqg5jcqKkqvXbu2Qg3r16/XzZo103FxcTo2NrZSfq+44grJr6izkOR39/c6dvHz\nOvrjeTp28fP6qV3fNa386lJ9hb7Cr06/W0t+RdWk0x+A0tJSffz4ce1wOOp9vzNnzgzoyEHfvn11\nVFRUrd90AG2323VmZmaFWoqLi/XSpUv1ggUL9LFjx7TWnm8BLrvsMr/2OWfOnHp9bkTkCVV+HQ6H\nPnbsWIPk9+GHHw4ovxdddFHARxZ95TcrK6tCLWfz+95770l+RYMIWX5dTn2sKE87XM563W/Y51c7\n9GX6Mr86/HO05FdUTzr9YWDKlCmVhh8AumXLlj7fWK644gpdUlKiO3bsWKc3HYvFomfNmqX379+v\nS0pKfNaWk5OjL730Ur/2Z7PZgvzMicYo0vJ71113BZTfwYMHa4fDoTt06FCn/EZHR+u//OUv+sCB\nA1V+kMnJydGXXHKJ350QIWoi+Q1ifnWOvkRf4leH364lv6Jm0ukPsdzc3CrH8o8aNUovX75c3377\n7XrKlCk6PT1d5+fnlz12y5YtdfqKETxjC+12u46Li9MvvfRShdqKiop0165d/d7Xtm3bgv30iUYo\nkvKbk5PjM79KKT1mzBidnp6uJ06cqKdMmaI///zzCvndtGlTnbJbPr/x8fH65ZdfrlBbUVGR7tKl\ni9/72r59e7CfPtEISX49Gjy/ukh30V386vCj0du15FfUTDr9IfbTTz/p2NhYn28IHTt2rPHxr7zy\nSo1vLEopbTaba9zOZrPpTz75pGzfDz30kN8fKlJTUxvyaQrI2rVr9Q033KBHjBihX3vtNV1UVBTq\nkkQ5kZTfHTt2VJnfzp071/j4l19+ucZsGQwGv/O7ePHisn035vympaXpkSNH6tdff13yG2Ykv79r\n0Pzqh7TSyq8Of6oOo/zqtTpNp+mReqR+Xb+ui7TkN5xIpz/E8vPztdVq9dlR/+Mf/1hp+6ysLP2n\nP/1J22w2bbVadXJyco1jEW02m+7Zs6dff/xTUlK01lqvXLnS79mBoqOjtdNZv+Msa+u5557TNput\nrLNjs9l0amqqLi4uDnVpwiuS8nvmzBmf+TUYDHrChAmVti+fX5vNprt161Zjzmw2m+7Ro4dfWbz4\n4ou11lqvWLHC7/xardawye+8efMq5Ndut+t+/fpJfsOI5DcI+dUrtFEb/erwW7VVO3WY5FfP0zZt\nK/uwYtd23U/308Va8hsupNMfBmbNmuVzSsEff/yxwna5ubk6MTHRrzeP8jeLxaKfeOIJv05UOu+8\n87TWWqekpPi9/w8++CAUT1slJ0+e9PlVrd1u12+99VaoyxNekZbfGTNm+MzvucNlTp8+Xav8RkdH\n68cff9yvo/YJCQlaa6379u3b6PJ76tQpyW8jIPkNQn51X786/Gj0BzpM8qtP6WgdXak+u7brt7Tk\nN1z42+mvnyvYCJ+eeuopZs+eTbt27YiOjmbgwIGsXr2avn37Vtju3Xff5dSpUwHv/5lnnqFTp07V\nXgAEPBc36t+/PwC7du3ya98tW7YkLS0t4Joawr///W+ioqIqLS8oKGDx4sUhqEg0Bc8++yxPP/00\nSUlJWCwWBg0axDfffEPv3r0rbPfOO+/UKr+zZ8+mY8eO1V5AD2qX31atWjWK/H7yySchqEg0BWGZ\nX/zML61II0zyy7+Jwkd+KeATJL+Njj+fDIJ1i7QjDf6aMGFCQEcYlFK6Q4cO2uVy6YKCAt28efNq\nt42JidHbt2/XJSUlfrdx5syZUD8tZb799luf4zMNBoOeOHFiqMsTXk01v+PHjw84vxdccIF2uVw6\nLy9PN2vWrMb87tixI+Lyq5SSC4aFEclvA+dXl/h9lP+MDqP86m91rI6tVKPSSi4YFkaQI/2Nww8/\n/MDSpUur3cZisaC8lyU3m83079+ftWvXYjAYsNlsfPPNN2VH/O12O61ataJ37960bduW8ePH8/33\n39O7d2/uuusuv2rq3bs3sbGxdf7d6sugQYOIi4srew7Oio6O5u677w5RVULAli1bWLZsWbXbVJff\nmJiYsvza7fay/Pbq1atCfnv16sWkSZP8qqlv376NIr9Wq5XJkyeHqCohgpxf/MwvfYkljPLLIOKI\nQ3FOfrEyGclvY6M8HxDCQ2pqqt68eXOoywgarTXdu3cnIyOjym0uuugipkyZQsuWLenVqxdxcXEk\nJib63FdGRgYul4sePXpU+gMLEBUVRWlpabU1Wa1WcnNzMZvNgf9CDWj37t2MHDmS06dPo5SitLSU\n559/Xjr9YSQ1NZWmlt/k5GT27dtX5TYXX3wxkydPpmXLlvTo0YNmzZrRunVrn/v6+eefcbvdVebX\nbDbjdDqrrSmc8ztixAhyc3PL8jtv3jymTJkS6tKEl+S3snrNL2ac1JBfrOSSi5kwyy+7GcEIcslF\noSillHnMYwqS33ChlNqitU6taTtTMIoRvv3yyy/88ssvVa5PSkris88+4/zzz69xX0opunXrVuV6\nl8tVY4e/V69ebNq0Kew6DAA9evTg0KFDbNiwgdzcXAYOHEhcXFyoyxJN2OHDh8nKyqpy/dn8tm/f\nvsZ9KaXo3r17leudTmeNHf5wz+/hw4f5/vvvyc3NLTv6L0SoBDW/3v+q04tebGJT2HX4AXrQg8Mc\n5nu+J5fcsqP/ovGRTn8IGY1GqvqmJSkpiUOHDmEy1f0lKigo4P77769xuxdffJHo6Og6t9dQDAYD\nAwYMCHUZQgDV57ddu3YcPHgwqPn9xz/+Efb5HThwYKjLEAIIYn4p4H78yC//IJowzi8GBiL5bexk\nTH8IJSUlkZyc7HOs67Rp0+rlDWfjxo0kJSXx5ptv1rjt4MGD69yeEE1F+/bt6dKli8/83nfffUHP\n7xVXXFHn9oRoKoKSXzaSRBJv4kd+kfyKhied/hBbtGgR5513HrGxsURFRWG32xk0aBDTp0+v875d\nLhdjx44lNzcXt9td7bbdu3evlzc5IZqSjz76iFatWhETE1OW38svv5xp06bVed+B5LdHjx6SXyEC\n1KD5xcVYxpJLLm5qyC89MMnACxEE8q8siLZt28YLL7zAwYMHGTp0KPfccw/dunXjyJEjLFmyhMzM\nTC677DIGDhzo80SgQG3evJnCwkK/tn3vvffq3J4Qkexsfg8dOsRVV13F1KlT6d69e4X8DhgwgAED\nBtRLfjdu3Oh3fufPn1/n9oSIZEHPLxspxM/8IvkVwSGd/iD5/PPPSUtLo7i4GLfbzcaNG3n11VfZ\nunUrbdq04frrr6/0mB9++IH9+/fTt29fkpOTA26ztLS0yjGL5X344Yf069cv4P0L0VQsWbKEG2+8\nsSy/GzZs4J///Cc//vgjiYmJ3HDDDZUes3XrVg4cOEDfvn3p0qVLwG36m99FixZJfoWoRkjySyka\nP/LLIvoh+RVB4s9k/sG6RerFQVwul05ISKh04Q6TyaQnT55cafucnBx92WWXabvdruPi4rTVatV/\n/OMftcPhCKjdU6dO1XihkcGDB9fXrymauEjNr9Pp1Oedd16l7JjNZn3vvfdW2j47O1tfcsklZfmN\njo7W1113XYPkd8iQIfX1a4omTvLrUW/51adqvAjXEC35FfUDuThX+Dh06BD5+fmVljudTp8XBrnz\nzjvZunUrBQUFnDlzhqKiIr744gueffZZv9tct24dCQkJ1W5jMpn49NNP/d6nEE3RgQMHfA6zKS0t\nJT09vdLyO+64g23btpXlt7i4mPT0dJ577jm/2/Q3v5988onf+xSiKQpJfllHAjXkFxOfIPkVwSWd\n/iCIi4vD5XL5XNeiRYsKP5eUlLB06VIcDkeF5UVFRbz66qt+tbdv3z6GDh1aZZtnLVq0qFL7QoiK\n4uPjq5wjv3nz5hV+LioqIj093Wd+X3nlFb/a27t3r+RXiHoS9Pyyl6EMxUUN+WURLZD8iuCSTn8Q\ntGrViiFDhlS6aI7dbq80/7bD4ahypo6CggK/2nviiSdq7DAopRg/frxf+xOiKUtISODyyy/3md8H\nHnigwjKHw1HlOHzJrxDBF/T88kSNHX6FYjySXxF80ukPkgULFtCvXz9sNhvx8fFER0dz9913c8st\nt1TYLjY2lh49elR6vNFo5JprrvGrra+++qrGbSZMmOBf4UIIFi5cSEpKSoX8Tp48mRtvvLHCdvHx\n8XTt2rXS4+s7v9ddd51/hQshgptf/Mgvkl8RGqqqT7WhkJqaqjdv3hzqMhrU7t27yczMJCUlhfPO\nO8/nNps2beLKK6/E4XDgcDiwWq3ExMSwefNmzj///Gr3/+abbzJp0qRq5/Vu0aIFGRkZtGzZsk6/\nixDlpaamEun53bVrF1lZWVx00UVV5nfDhg0MGzasUn63bNlC+/btq92/v/ndu3evDO0R9Ury61Gn\n/PImk5hU7bz8LWjBXvbK0B5Rr5RSW7TWqTVu6M/ZvlXdgOuAXYAbSD1n3SPAPuBnYKQ/+4vU2QNq\n48iRI3rmzJl67Nixes6cOfrUqVPVbu92u/Xq1au1xWKpcqYPpZSeMmWKdjqdQfotRDhbtGiR7tmz\np1ZK6U2bNlVY98wzz+jOnTvr5ORk/eWXX/q1P8nv7w4dOqRnzJihr732Wv3ss8/WW36nTp0q+RVa\na8lvQwo4v9qtV+vV2qItVc7Uo7TSU/VU7dSSX1H/8HP2nrrO078T+CPw2jmfOHoCacCFQFtglVIq\nWWtd/UA3UaZ9+/bMnj3br23dbjd/+tOfSE9Pp6SkxOc2UVFRZGdnY7fb67NM0Yj16tWLxYsXc9dd\nd1VY/tNPP7Fw4UJ27drF0aNHGTZsGBkZGRiNxhBV2vh06NCBOXPm+LWt2+0mLS2NZcuWSX6F3yS/\nDSeg/OImjTSWsYwSqsgvUWSTjR3JrwitOnX6tda7AV9XrxsHLNRalwAHlVL7gEuB9XVprynbvHkz\nX375JXa7neuvv56kpKSydUuXLmX58uXVXr2zT58+Qekw5OTk8Pbbb7Njxw5SU1O55ZZbiI2NbfB2\nReB8nTsCngvZpKWlYbFY6NixI126dGHjxo0MGDAgyBVGji1btvDFF18QExPDDTfcQJs2bcrWLVmy\npMb8pqSkBC2/7777Ljt27KBfv37cfPPNkt8wJfkNnmrzyxKWs7zaq++mkBKUDn8OObzLu+xgB/3o\nx83cTCySX/G7hroibxLwfbmfM73LRIC01tx1110sWLCA4uJizGYzs2bNYv78+fzXf/0X4DlJ2Nd1\nAM6y2Ww89thjDV7rzz//zMCBAykqKqKoqIhFixbx5JNPsmnTphrHQorwkZWVRf/+/ct+bteuHVlZ\nWSGsqPHSWjNp0iTef/99SkpKMJvNPProoyxYsKBs9p333nuv2plBbDYbjz76aIPXmpGRwYABAygu\nLqawsJCFCxeW5bddu3YN3r6oH5Lf+uNXfnmPAqrJLzYeJQj5JYMBDKCYYgopZCELeZIn2cQmaLJb\ntQAAF0lJREFU2iH5FR41zt6jlFqllNrp4zauPgpQSk1SSm1WSm0+ceJEfewyonz11Ve8//77FBYW\n4na7KSkpoaioiFtvvZW8vDzAc5GeqthsNubOncu4cfXyclVr0qRJ5OTkUFRUBHimODt58mSladFE\n8AwbNoxevXpVui1ZsqRe9v/666+TmppKamoqkt/KVq5cyQcffEBhYSEul4vi4mKKioq45ZZbyjr6\n4Zbfs984FBQUcOLECclvCEl+Q8uv/FZz7NSGjbnMZRxByC+TyCGn7BuHAgo4wQkeQPIrflfjkX6t\n9bBa7DcLKH9ot513ma/9vw68Dp7Ze2rRVkSr6iigyWRi1apVjB8/nokTJ/L5559X2i4mJoajR48G\n5et5p9PJv//970pzHLtcLpYvX97g7QvfVq1aFfBjkpKS+OWXX8p+zszMrDCcrLxJkyYxadIkwDP7\nh6ho/vz5PvNrNBpZtWoV48aNY+LEiSxbtizk+f3uu+985tfXVcNFcEh+Q8uv/DKRZSyrdLQ/hhiO\ncjQow2ucOPmO79Cck19cLEPyK37XUPP0LwXSlFIWpVRHoCuwsYHaimgGg++XSGtddi7F8OHDueOO\nO7BarURHRxMTE4PdbmfJkiVBG49rMBiqrDUqKiooNYj6MXbsWBYuXEhJSQkHDx5k7969XHrppaEu\nq1Hycb5TpXUjR45k4sSJWK1WLBYLdrsdu93O0qVLg5ZfpZTkN0JIfuuPX/llJBOZiBUrFizYvf8t\nZWnQxtMrFIYqunNRSH5FOf5M8VPVDRiPZ7x+CfArsKLculnAfjxTdl7tz/5kyrDKvv76a2232ytN\n32e323V+fn6Fbffs2aNffPFF/X//93/69OnTQa/1+uuv12azuUKdFotF33vvvUGvRdRs8eLFOikp\nSUdFRemEhAQ9YsSIsnV//etfdadOnXRycrJevny5X/uT/Fa2cuXKKvNbUFBQYdtdu3bpv//97/qt\nt94Kq/xOmzYt6LWImkl+G15A+dW79N/13/Vb+i19Wocgv/p6bdbmCtOEWrRFT9OS36YAP6fslItz\nhTmtNffddx//+te/cDqdmM1mtNZ8+OGHXHvttaEur4Ls7GyGDh3KgQMHyoYJ9O3bl5UrV8pUg01A\nU7i4T6C01kydOpW3334bp9NZNn5/0aJFjBkzJsTVVZSdnc2QIUM4ePAgbrcbpRR9+vThq6++kvw2\nAZLfyhpVfslmCEM4yEHcuFEo+tCHr/hKpgptAvy9OJd0+huJnTt3lk0ZNmHChCqvJhhqWmvWrVtH\nRkYGvXv35tJLL632K1IROaTTULXt27fzxRdfEBsby4QJE0hISAh1ST5prVm7di0ZGRn06tWL/v37\nS36bCMlv1RpNftGsZS0ZZNCLXvSnPwrJb1MgnX4hRFBJp0GIxkvyK0Tj5W+nv6FO5BVCCCGEEEKE\niYa6OJcQYcPt1qxdW8zx4y4GDLDQoYM51CUJIfzkdmu++86T3/79ozn/fPmzJUSjod1w/DsoPA6J\n/SHm/FBX1KTJu6eIaIcOlTJ06DFOnXIBUFoKt98ew0svtZKxykKEucOHPfk9eVLyK0Sjk3cY0odC\n8UnPz+5S6HY7DHoJJL8hIcN7RET7f//vV44ccZKXp8nL0xQXa955J58PPqj6sulCiPAwfvyvHD5c\nOb/vv58f6tKEEDVZOR7yD0NpnufmKoaMd2Df+6GurMmSTr+IWAcOlJKRUYrbXXF5QYHmpZdyQ1OU\nEMIvBw+WsmdPVfk9E5qihBD+OXMQTu/xDO8pz1kAu14KTU1COv0icuXnuzEafa/Ly3P7XiGECAv5\n+brK/J45I/kVIqw588FQRYAd8qE9VKTTLyJWz55RWCyVxw1GRyuuvz4mBBUJIfzVs6eZ6Oiq8isX\nGxIirDXrCcboysuN0dDp+uDXIwDp9IsIZjIp3nknAZtNYfZO2GO3Kzp0MHHfffGhLU4IUS2jUfH2\n2578ei+Eit2uOP98E9OnNwttcUKI6hmMMORtMNlAeQNssntm7+kzPaSlNWUye4+IaKNH29i6NYnX\nXjvDkSMuRo2ycuONMVit8nlXiHB3Nr+vvHKGI0ecjBhh5ZZbYrHZJL9ChL3zR8Mft8JPr0D+EWg3\nApJv8XwQECEhnX4R8ZKTo/jb31qFugwhRC0kJ0fxwguSXyEapWbJMPCFUFchvORwiRBCCCGEEBFO\nOv1CCCGEEEJEOOn0CyGEEEIIEeFkTL8QNThyxMknn+RTWgpjx9ro3j0q1CUJIfyUmenk448LKC3V\njB1ro1s3ya8QjUZ+Jhz8GNyl0GEsNOsW6ooaNen0C1GNt946w9Spp9Ba43bD44/nMGNGPI8/3iLU\npQkhavDOO2e4++5TgMblgv/93xweeiieJ56Q/AoR9n5+B76723Nfu2Dz/0LfhyD1idDW1YjJ8B4h\nqnD8uJOpU09RXKwpKYHSUigq0sydm8uPP5aEujwhRDV++83F3Xd78ltc/Ht+583LZetWya8QYa3o\nN0+H31XsublLwVUE2+bBya2hrq7Rkk6/EFX4/PNCDD4S4nBoFi0qCH5BQgi/pacXYDRWXl5crFm4\nMD/4BQkh/Hc4HZSPALuKYf/C4NcTIaTTL0SAtAatdajLEEJUo7qISnyFCHfVhVQCXFvS6ReiCtde\na8Ptrrw8Olpxww0xwS9ICOG3MWNsuFyVl0t+hWgEzh/jGcd/LlM0dLoh+PVECOn0C1GF1q1NvPRS\nS6KjFRYLmM1gtSoefDCelBRLqMsTQlQjMdHEyy978hsVBSaTJ7/Tp8fTr5/kV4iwZkuEQS+DMRoM\nUaBMYLRCr+lwXr9QV9doyew9QlTjv/87juHDbXzyST4OB4wbJ1N2CtFY3H57HMOG2fjoo3wcDs24\ncXZ69pT8CtEodL8d2g2DAx+BywEXjIPmPUNdVaMmnX4hanD++Sbuv79ZqMsQQtTC+eeb+J//kfwK\n0SjFnA99/ifUVUQMGd4jhBBCCCFEhJNOvxBCCCGEEBFOOv1CCCGEEEJEOOn0CyGEEEIIEeGk0y+E\nEEIIIUSEk06/EEIIIYQQEU46/UIIIYQQQkS4OnX6lVLPKaX2KKW2K6U+VUo1K7fuEaXUPqXUz0qp\nkXUvVQhRnx566CG6d+9Onz59GD9+PKdPny5bN3v2bLp06UK3bt1YsWJFCKsUQvgi+RVCBKquR/q/\nAnpprfsAGcAjAEqpnkAacCEwCvinUspYx7aEEPVo+PDh7Ny5k+3bt5OcnMzs2bMB+Omnn1i4cCG7\ndu3iyy+/ZMqUKbhcrhBXK4QoT/IrhAhUnTr9WuuVWmun98fvgXbe++OAhVrrEq31QWAfcGld2hJC\n1K8RI0ZgMnkuyt2/f38yMzMBWLJkCWlpaVgsFjp27EiXLl3YuHFjKEsVQpxD8iuECFR9jum/HfjC\nez8J+KXcukzvskqUUpOUUpuVUptPnDhRj+UIIfz11ltvcfXVVwOQlZVF+/bty9a1a9eOrKwsn497\n/fXXSU1NJTU1FcmvEKEh+RVC+MNU0wZKqVVAax+rZmmtl3i3mQU4gQWBFqC1fh14HSA1NVUH+ngh\nwlF2tufr9BYtQjuqbdiwYRw/frzS8qeffppx48aV3TeZTNx0000B73/SpElMmjQJgNTU1LoVK0SY\nOH3ak99mzSS/QjQ6Jd7zWyzNqt+uCaqx06+1HlbdeqXUbcAY4Cqt9dlOexbQvtxm7bzLhIhoGRkO\nbr75N7ZtcwCQkmLhvfcS6NrVHJJ6Vq1aVe36t99+m/T0dL7++muUUgAkJSXxyy+/f1GXmZlJUpLP\nL+qEiCj79pVy662/sXlzCQAXX2xh/nzJrxCNQu4++OZWOLnZ83PLi+HK+RDfNbR1hZG6zt4zCpgB\njNVaF5ZbtRRIU0pZlFIdga6ADCoUEa2w0M2gQUfZvNmBwwEOB2zaVMLll2dRVOQOdXmVfPnll8yd\nO5elS5dis9nKlo8dO5aFCxdSUlLCwYMH2bt3L5deKqfkiMhWVORm0KAsNmwoobQUSkth48YSBg3K\norBQ8itEWHMWwZJB8NsGcJd6bic2epY5C2t+fBNR1zH9LwGxwFdKqR+VUq8CaK13AYuAn4Avgala\na5k+QES0jz8uoLhYo8sNUtMaCgs1ixcXhK6wKtxzzz3k5eUxfPhwUlJSuPvuuwG48MILuf766+nZ\nsyejRo3i5ZdfxmiUybdEZFu8uIDCQo27XP9eaygq0nz8seRXiLB2cDG4CoHyH9A1uIrgwMehqirs\n1Di8pzpa6y7VrHsaeLou+xeiMTl0yElBQeXTUgoLNQcPOn08IrT27dtX5bpZs2Yxa9asIFYjRGgd\nOuSksLByfgsKNIcPS36FCGt5h6DUxxH90gLIPxz0csKVXJFXiHqSmmrBbleVlttsitRUSwgqEkL4\n6+KLLdhslfMbE6O4+GLJrxBhrdXFYLZVXm6O8awTgHT6hahSfr6b778v5tChUr+2HznSSteuZiyW\n3zsOFouiWzczI0ZYG6pMIYQPBQVuNm4s5sgR/47S+84vdOpkZtQoya8QQVVaAL9thPwj/m3ffiTE\ndQVjuQ/oBgvEdoJ2oxqmxkZIOv1C+DBnTg4JCYcZNeoYPXpkcuWVR8nJqf60FKNRsXZtW+67L462\nbY0kJRmZPj2ONWvaYjBUPoIohGgYzz9/moSEwwwffoxu3X7xK78Ggye/06bF0aaNkTZtjNx7bzzr\n1rXFaJT8ChE025+H+QmwbDh82A3Sr4SSnOofowwwdi1cOA1sbTy3XvfC2HVgkHNazlJah8/U+Kmp\nqXrz5s2hLkM0cUuWFHDTTb9VGJ8fFQVDh1r58ss2IawsvKWmpiL5FaGWnl5AWlrl/P7hD1ZWrpT8\nVkXyK8LC4XT4Og2c5U6eN0RBmz/A6JWhqyvMKaW2aK1rvNhGnU7kFSISPffc6Uon5DocsGZNMceP\nOykp0axeXUx8vIGrr7ZitcoXZkKEi3nzcn3md+3aIo4dc+J0wurVRcTFefIbHS35FSJsbJ9XscMP\n4HbA8bVQeAzcTji6Gsxx0P5qMEWHps5GSjr9Qpzj1199DwOIioLHHstmwYICjEYwGDxDelasaM2l\nl8objxDh4NixqvKrePzxHN59N1/yK0S4Kjzme7khCjY/DnvfBWX0DOdRRrhmBSTIdSj8JYc4hDjH\nqFE2zD4uwOl2wwcf5FNcrCko0OTlaU6fdjN69HGczvAZJidEUzZypNVnfl0umD8/T/IrRDhrNxIM\nPgKsXbB3PriKPd8ElOaB4zR8Odpz9F/4RTr9QpzjkUea0ayZgaio35fZbIqePc0U+pgGuKRE8913\nxcErUAhRpZkzfef3wgvNFBVV3t7h0KxbJ/kVIiykzISoZp4j+2eZbND8Qs+Fts7lcsDxdcGrr5GT\nTr8Q52jb1sSOHe247754UlKiGDvWxooVbUhI8D0aTikoLpYjhUKEg7ZtTWzf3o57742nT58orrnG\nyvLlrWnTpurRrEVFkl8hwoK9LUzYDhfeCy36QPtrYNRyz2w8VXH6+DAgfJIx/UL4kJhoYu7clhWW\n/elPdtasKap0kqDTCVdcIWOChQgXrVubmDevYn6PHnXx9de+8zt4sORXiLBhaw0D5lVcVngUsr72\ncZKvE9oMDl5tjZwc6RfCTzfcEMPAgdHExHjm7DabwWpVvP56K+x2iZIQ4ey66+wV8msyefL7yiut\niImR/AoR1jpdB4kDwRTj+VmZwGiFK17xXHVX+EWO9AvhJ5NJ8cUXrfnii0I+/7yQFi2MTJwYQ3Jy\nVM0PFkKE1Nn8Ll9eyNKlhTRrZuD222Pp0UPyK0TYM5jg6i/gl+VwaClYmkG326F5j1BX1qhIp1+I\nABiNijFj7IwZYw91KUKIABmNimuvtXPttZJfIRodgxE6XOu5iVqR7zSFEEIIIYSIcNLpF0IIIYQQ\nIsJJp18IIYQQQogIJ51+IYQQQgghIpx0+oUQQgghhIhw0ukXQgghhBAiwkmnXwghhBBCiAintNY1\nbxUkSqkTQAFwMoRltGri7YdDDU29/XCooTbtXwwcqcXj6lNjfN4irYam3n441CD5bZzth0MNTb39\ncKihNu130FqfV9NGYdXpB1BKbdZap0r7oRPqGpp6++FQQ23bb6x1R0r74VBDU28/HGqQ/DbO9sOh\nhqbefjjU0JDty/AeIYQQQgghIpx0+oUQQgghhIhw4djpf13aD7lQ19DU24fQ11Db9htr3ZHSPoS+\nhqbePoS+Bslv42wfQl9DU28fQl9Dg7UfdmP6hRBCCCGEEPUrHI/0CyGEEEIIIepRWHT6lVLPKaX2\nKKW2K6U+VUo1K7fuEaXUPqXUz0qpkQ1Yw3VKqV1KKbdSKvWcdcGqYZS3jX1KqZkN1c45bb6llPpN\nKbWz3LIWSqmvlFJ7vf9v3kBtt1dKfaOU+sn73N8XzPa9bUUrpTYqpbZ5a3jCu7yjUmqD97X4UCkV\n1VA1eNszKqW2KqXSg92+UuqQUmqHUupHpdRm7zK/XwPJb1k7kt8gtu9tS/Ir+a2vGiS/QWzf25bk\nt475DZjWOuQ3YARg8t6fA8zx3u8JbAMsQEdgP2BsoBp6AN2ANUBqueVBqQEwevfdCYjyttkzCM/9\nYDzzM+8st2wuMNN7f+bZ16MB2m4DXOy9HwtkeJ/voLTv3b8CYrz3zcAGoD+wCEjzLn8VmNzAr8MD\nwPtAuvfnoLUPHAJanbPM79dA8iv5lfxKfuv4O0h+a/Ha1bFtye/vdTTa/AbcXkM+kbV8AsYDC7z3\nHwEeKbduBTCggds/900nKDUAA4AVVbXbwL/zBee86fwMtPHebwP8HKQ6lgDDQ9i+DfgBuAzPhTHO\n/iGs8No0QLvtgK+BK4F07xthMNv39aZTq9dA8uu73Qb+nSW/WvJ7zjLJb2DtSn4lv40+v/7cwmJ4\nzzluB77w3k8Cfim3LtO7LJiCVUM4/K5nJWqtj3nvHwcSG7pBpdQFwEV4PukHtX3vV3s/Ar8BX+E5\n4nNaa+30btLQr8XfgRmA2/tzyyC3r4GVSqktSqlJ3mW1fQ0kvw3bjj8kv5JfyW94tuMPya/kt8Fe\nA1N97agmSqlVQGsfq2ZprZd4t5kFOIEFoapBVKS11kqpBp3iSSkVA3wCTNdan1FKBbV9rbULSPGO\nZf0U6N6Q7ZWnlBoD/Ka13qKUGhKsds9xudY6SymVAHyllNpTfqX3NbCXH3dajuQ3jEl+G5bk13+S\n38BJfhtWI8pvvb0GQev0a62HVbdeKXUbMAa4Snu/0wCygPblNmvnXdYgNVShXmsIg3b88atSqo3W\n+phSqg2eT+ANQillxvOGs0BrvTjY7ZentT6tlPoGz9d5zZRSJu+n/YZ8LQYBY5VS1wDRQBzwYhDb\nR2ud5f3/b0qpT4FLqfwaHNBa96pqH5Jfya/kV/JbQ52SX/9IfiW/DfYahMXwHqXUKDxfr4zVWheW\nW7UUSFNKWZRSHYGuwMYglxesGjYBXb1njUcBad62Q2Ep8Gfv/T/jGetX75TnkMKbwG6t9fPBbt9b\nw3neIwwopax4xjTuBr4BJjR0DVrrR7TW7bTWF+B5zVdrrW8KVvveI4CxZ+/jOalvJwG8BpJfQPIr\n+ZX8NgTJr+RX8luf7dfXyQF1uQH78Iyn+9F7e7Xcull4xnj9DFzdgDWMxzN2qwT4lYon9QSrhmvw\nnEG/H89XnsF47j8AjgGl3t//v/GMafsa2AusAlo0UNuX4xnPtr3ca39NsNr31tAH2OqtYSfwF+/y\nTnj+uOwDPgIsQXgthvD77AFBad/bzjbvbdfZf3eBvAaS37J2JL+SX8lv7X4Pya/kV/Jbi/wGepMr\n8gohhBBCCBHhwmJ4jxBCCCGEEKLhSKdfCCGEEEKICCedfiGEEEIIISKcdPqFEEIIIYSIcNLpF0II\nIYQQIsJJp18IIYQQQogIJ51+IYQQQgghIpx0+oUQQgghhIhw/x/csCe0RDtJEgAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43ad02898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vU6dOTUBEUkxFvySl01NO58VmL5JG2pG2TqYTy1sup62rbQIjE5GqDO6cxivn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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43abd8a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model_PCA = PCA(n_components=2)\n",
    "model_PCA.fit(cluster_centers_df)\n",
    "result = model_PCA.transform(cluster_centers_df)\n",
    "\n",
    "knn_graph = kneighbors_graph(result, 30, include_self=False)\n",
    "\n",
    "for connectivity in (None, knn_graph):\n",
    "    for n_clusters in (2, 3, 4, 5, 6, 8):\n",
    "        plt.figure(figsize=(10, 4))\n",
    "        for index, linkage in enumerate(('average', 'complete', 'ward')):\n",
    "            plt.subplot(1, 3, index + 1)\n",
    "            model = AgglomerativeClustering(linkage=linkage,\n",
    "                                            connectivity=connectivity,\n",
    "                                            n_clusters=n_clusters)\n",
    "            model.fit(cluster_centers_df)\n",
    "            plt.scatter(result[:, 0], result[:, 1], c=model.labels_,\n",
    "                        cmap=plt.cm.spectral)\n",
    "#             plt.title('')\n",
    "#             plt.axis('')\n",
    "#             plt.axis('')\n",
    "\n",
    "            plt.subplots_adjust(bottom=0, top=.89, wspace=0,\n",
    "                                left=0, right=1)\n",
    "            plt.suptitle('n_cluster=%i, connectivity=%r' %\n",
    "                         (n_clusters, connectivity is not None), size=17)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Agglomerative clustering 1000 cluster centers into 8 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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31nsaHEztHe9I7c//fErewYZrHH986p/8ZPKIRyTDwykHH5zG976X2gEH9Dsa\nAACboFKtbRHXPpg3b141f/78fscAtnLtN74x3c9+dvVpOgMDvZ/Hx1e/eGQk9Y99LPWXv3za8nSv\nvDLtww5LVqzoLRLdbCYzZqRx0UWp7bvvpPdUo6Np7bxzsnjxvQdrtWSHHdK88cYp24GtWrAg3W98\nI1mxIrVnPStlzz2n5LkAAMDUKaVcXlXVvAe8TkkEbKmqBQuSRiNl++3X/Z7x8bRmzZp0HZeUMnEh\n4G23TfPmm1O23XYD065d6+CDU/34xxPjHHxwmmuZ6tb6q79K9bWvTTwxMpL66aenvh5TwgAAgM3b\nupZEppsBW5zuz3+e8cc9Lq3ddktr553TOvTQVDfdtG43L1s2+Vo7SW9a1cMelsyc2duRa9dd07jg\ngmktiJKk+slPJj/+059Ofnzx4lRnnz35w5YtS268cYqSAQAAWxK7mwGbteqGG9J53/vSvfjilD33\nTO31r0/nhS9cbZpV9ZOfpHXooWn+7neTLlC9mlmzkjlzkltvnXCqHHxwGt/9bqprrklKSdl772nd\n1SxJuuefv9ZtzDMykqQ3Yqrz6U+n+sUvUvbfP+Wxj+1Nj2u3J95Tq6WsZYoaAACwdTPdDNhsVddd\nl9b++68++qfZ7E0LW3PtoG22SePLX07tmGN6946NpXPCCel+/vPJ8uUpT3taGh/7WMojHpHON76R\nzotffO9C1bVaMjSUxsUXp/bEJ657voULU/3hDyl77JGystBZr89XVWnttltyyy0TT9brqb31ram/\n9KVpHXxwb72i5ct7C0kPDvayr1gx8b7ttkvzzjtT1raFfZLqzjtTXXFFstNOqT3+8eudGwAA2LSY\nbgZs8drveleydOnq08NarYkF0crj951y1j7mmHRPP7034mh8PNV556V1wAGp7rgj9WOPTePcc1OO\nPDLZffeUF7wgzcsuW+eCqFqxIq0XvSithz0s7UMOSWvHHdN+73uz3qX8LbckCxdOfq7ZTP2UU9J+\nzWt6n2H58t7xsbHk7rt7ZdGao6YajdS/9rX7LYja//iPvdwveEHaBx6Y8Sc+MdUf/7h+uQEAgM2S\n6WbAZqu66KKk2123i+v1lP33T5J0f/nL3kLQ9xQrSe85Y2PpfPrTabzznakddlhq55//oHJ13vSm\n3ppAK1asGs3T/dCHUnbbLfWXvGTdHzRz5to/35/9WVKvp7rkkonT0VZ+lnLQQal+9rNVo6vqH/1o\n6kce2btnlZ47AAAgAElEQVTkiivS/cpXkk4ntb/6q9QOOijdc85J99RTe78v9/zeXHNN2scem+Yk\nC2cDAABbFiOJgM3Xjjuu/dw9W9YnydBQyoEHpjzpSUnSW1OoXp94z9hYqg2c8lotX57uF74wcXe0\nZcvS+dCH1utZZfbslKc9bfXPkiTDw6m/5S29aXBrW2NpaCjNiy5K87rr0rjoojQXLEj9pS9NkrRP\nPjntQw9N97TT0v3Yx9J++tPTfutb0znttN7Uvftqt1P94hepHsRi11VVpXP66RnfZZeM1+sZf/Sj\n0/3Od9b7OQAAwMahJAI2W/V3vnPV4s2rDA6m/PVfp/bGN/Z2Itt999ROPDGN//7vVYtMl0c9avId\nzAYHU9ZjzaFJLV689oWmb7ttvR/X+OIXewtNDw8n226bzJiR2ktektorX5lSSmp//dcTS6RSkl12\nSfeaa1J23TW1Jz4xZcaMJEn1m9+k+8EP9kqsbrf3Y3Q03U99KtXNN08eotlMdeed652989GPpnP8\n8b1FwLvd5Ne/Tvuv/ird885b72cBAADTz8LVwGarqqp03v/+dN///t6ImhUrUp797DTOPDNlaOh+\n7209+cm9qVj3LO5cSrLttmn++tcpO+20zu/P3Xcnw8MpK4uaqttNa5ddkjXX8Skl2XXXlH33Te25\nz03tb/5mVXGzLrpXX538/vcpT3xiykMfem+GxYvTPuqoVL/8Za/4uefP9Ho9mTEjjf/8z9T+8i9X\nXd/5yEfSOeGEiYta12rJIYckl1028dx226W5YMGqz7gq089+lu7Xv540Gqn9zd+ktvfe9+bqdtPa\nYYdk0aKJH2a//TJw+eXr/NkBAIANY+FqYJNXVe20x87OiruPz/iSD6fq3L5e95dS0njXu9JcsCCN\nH/4wzZtvTvM///MBC6IkafzP/6T2t3/b2wmsVks57LA0L710nQui7n//d1p/9mdp7bhjWrNmpf26\n16VasSKlVkv94x/vjfy5R63WK29uvjnVt76VzhvekNbBB6dac0ra/ag97nGpPfOZqxVESVK23TaN\nH/845dnPXn0KXaeTjI6m/fKXp7rvqKkZM3p51lSvp/bUpyY77dT7PUl6xdbwcOof//iEgqj91rem\n/dSnpnvqqel+8INp779/2v/yL/desHjxxKlr97j++nX+3AAAwMZjJBHQF1V3NGMLn5xu+7qkWppk\nKCn1DD3k/NQHDtp4Oaoqqar73fFrTd2f/jTtI47obTN/j6GhlGOPTfNLX+pdc/HF6bzvfamuvz65\n8caJ09uGh1P7539O47WvnYJPkYzvsUfyu99NPDEykuaVV6bstVeSpLrttrT+7M8mrpk0NJTm1Vcn\n22+fzic/mercc5Ndd039zW9ObeVaTvfozp+f9lOesvrnT5LBwd5IrN12S9Xp9EYS3XXXxEz77puB\nK67YkI8LAACsByOJgE3a+LLT0m39amVBlCRjSbU0yxf9zfpvFb8BSinrVRAlSef9759YsoyNpfr6\n11PdcUeSpHbooWmee24ap58+cd2kpLcO0Otel/EddkjnU596sPFXKbNnT36i3U622ebe63baKfXP\nfS4ZGurtnjZzZjI4mPpHP5qyxx4ps2al8c539ha9/vKXJxRESdL9xjdW3xlu1cPLqoWpS72e2nve\ns/qIqiQZGkrjfe970J8TAACYPkoioC/ao19KMrFoqLq3p+r8ZuMHWg/Vr389+eLUAwOpbr119WPb\nbLP2beyTZOHCdF7zmrTe9rYNylR785snllGNRsoBB6TMnbva4fpxx6V5yy2p/9u/pf6xj6V5002p\nv+pV6/6ygYHJp6zVakmzee97jj8+tX/6p2Tu3N7UtUc8IvWvfCW1ZzxjfT4aAACwkZhuBvTF6IIn\npNv+5SRnhjK8469Sa+y+sSOts/bf/V26X/nKxClkQ0Np3nZbyn1G7lRV1Zve9fvfr33XsySp1dJc\nuDBl1qwHlamqqnSOPz7dT32qt+5Qu53stVea3/3uOq+ztM7v+r//S2u//SaOphocTPP3v0+ZM2fS\nfPfsLgcAAGxcppsBm7TG8KuTssZUpJSUxh6bdEGUJPV3v7s3Xeu+hodTe+tbVyuIkt50tuZ3v5s8\n9KG9qV1r0+2m+sEPJj1VLVqUauHC+81USknjIx9J84Yb0vjSl9L40Y/SvOKKKS+IkqQ8+tGpfeAD\nvQWuh4d7I5gGB1P//OcnLYjuyQcAAGzalERAXzRHXpP6wNOSDCcZTMo2SW1Ohmb/V7+jPaDyyEem\ncemlKX/xF8m22yZ77pn6hz+c+nvfO/n1j350b0rXN74x+TStpHd8jeli1e9+l9Yhh6Q1d25aD31o\nxvfbL9WvfnX/2XbeObVnPSu1ffed1mKm8eY3p/mb3/Q+90c/mubNN6d+3HHT9j4AAGD6mW4G9FVn\n/PJ0xi9Nrf7Q1AeflVJm9DvStGq94hWpzjhj4oltt03zjjtSVq7pU61YkdbuuycLFty7plEpyezZ\nad5444QRSwAAAGtjuhmwWagP/HkGZr4xjaHnb/EFUZI0PvOZ5Oij7z1QSjJzZhoXXLCqIEqS6tvf\nTpYtW33R66pKVqxI96yzVn5ZpVq+fKPuBgcAAGy5lETAlKuqKt3Wtem0rkxVdR74hq1IKSUD556b\n+s03p3b88am98pWpf/3rKfNWL/WrG2+cfJv5ZctS3XBDOt/6Vlp77JHWyEhas2alfdJJqdZcSBsA\nAGA9NPodANg0dds3pTX6hVTdO9IYfEbqM45KKQ/cK3db12bszuek6t6apJ6UGRmc9eU0Bo+atqxV\nVaUz/v10W1el1tgr9RlHp5T6tL1vQ1V/+EM6T35ysnBhsmJF8tWvpvPoR6f5/e+nrFzcusyb19ul\nrNVa/eaZM5Ph4XRe+MJkdLR3bPHidP/pn5Jly9L4p3/ayJ8GAADYUliTCJigvfycLF/010nVSTKe\nlJmpDxySwe2/k1LW3i1X1XiW3bZr0r09yX3+bCnDGZ5zbWqN3aY8a9VdkrGFh6fb/nVStZIykFKb\nk6EdLkmtPndlrnaS+iazw1brmc9Mdf75yX1H/syYkdprXpPGRz6SpFd8tQ85JNWVV947omjGjOQR\nj0i23z750Y8mPnhoKM2FC1PW3HkNAADYqlmTCHhQqmp5li/626QaSzK+8uDSdMYvTnvsq/d7b2fF\neSvvW6N8rtppjX5uivJV6bZ+lc74z1JV41mx+MR0W1cn1dIkK5JqSarO77PirlelM/7TjC7YL8v+\nOJBlfxzJ8rvekKqaZArXRlStWJHqggtWL4iS3lpDX/rSqi9LKWlceGFq/+//Jbvskuy8c2pveEOa\nl16a/OY3kz+8Vktuu20a0wMAAFsy082A1XTGf5xkkhE31bK0R7+U5vCL13pv1bktyWTr4oyn6t6y\nwdm67esztvCYVN2bk9R7P6rxJCvWuLKdzopzMzb+/aRatvLYWNqjn03VvTVD25+9wVketG539cWo\n72uN4qgMDaXx3vcm733v6scf//hUf/zjxPtLSXbeedWX1cKFqX7xi5Rdd03Za68Njg4AAGzZjCQC\nVlPSzISRQKtO3v/uY/WBQ5NqkgKkzEx9xpEblKuqOhm744hUneuSajSpliTVXUlG13JHJ6nWLI+W\np7P8u+m2b9qgLBuiDA2lHHRQb9TPfTWbqR177Do9o/aCFyT1NdZcGh5O7cQTU2bM6E1Ve/vb09pl\nl7SPPTatffZJ67DDUi1aNEWfAgAA2BIpiYDV1AYOTMrgxBNlJM2RV97/vc1HpzH0N0kZuc/RodQa\nj0pj8HkblKsz/oNU1d1Za4E1qfbEQ2VGup3rNyjLhmqccUZvXaGRlb9PM2cmu+6a+oc+9ID3tk8+\nOZ23vGX1UUdDQ6l9+MOpn3BCkqT7xS+m+4lP9NYyuvvuZGws1U9/mvaL1z4KDPrpphuW5iPvuybv\nO+EXueyS27MprZcIALA1Md0MWE0pjQxt/+2MLfyLJN2k6hUtjaGXpj7jmAe8f8asz6Q+dkRayz6Z\nVGNpDL0ozZmvSynNDcpVdRY8iLuaSdbYHaxakVrjMROf312UbvvXKfWHp1bfecL5qVT22ivNG25I\n96yzUl13Xcp++6V27LEpM+5/pFZ1883pfvCD9y5kfY96PbXddlu1MHfnX/4lWbZs9WvGx1NdcEGq\nRYtSZs+eyo8DG+RrX/hd3v6a+em0u2m3q5zx8evyly/YNR/93AGbzGLzAABbCyURMEF94ICM7PSH\ntFeck3TvTH3G01JrPGqd7i2llubw36Y5/LdTm2nGoSvXH5rwxkw6uqjsmGSst+PZKkOpDz0/tfrD\nVh2pqirji/8+rWX/1ptOVy1PffAvMzj7Syll+nYJK9tsk/qrXrVe93QvuGDiNLMkWbo03W9+M7Vn\nPKP39cKFkz+gXu+NLFpZElWt1qqvy2TPhWl216LxvP0187N87N6RcaPLOvnv/7o5x77w4XnqUdNb\n2AIAsDrTzYBJldpwmkN/nebI69a5IJrWPGXb1AePTnLfqXBDKbXdkqxR5pThDGz7gQzt8OPUB56W\nZEZSdkhz5tszOGv1XdZayz6Z1ugnkyxPqruTrEhn+f9kxV1vnNbP82CUbbaZuJZRkjQayaxZq76s\nHX1079iatt022W23VN1u2u9+d1qzZ6e1yy5p7bRTOqefPo3JYXIXfe9PaTQmjhYaXdbJ2V/9fR8S\nAQBs3YwkAja6qqp6W9aX4ZQycQRLZ3x+Vtz9lnRb81Nq26fWPDidFf+Te//IaqY09kpz6GVpjrw2\n7eXnZnzJCak6v0upPyzNme/NwMhLkiRDO1xwv1lay/6ltxD2apanPfblVLP+LWWSxbp/fPvVOfGK\n0/OLRb/N7jPn5uR9Xp5jdj3kQfxOrJ/yzGf2djBbU7OZ+ktfuurL+kknpfutbyVLliQrVvSKpcHB\nND71qZRaLe33vCfd005LRld+7hUr0jn++JTtt+8tir2VqEZH0z377ORPf0o55JCUA0xv2tjqkxRE\nSe9/84EB38cCANjYyqa0OOS8efOq+fPn9zvGFqsz/uO0ln0qVXdRGkMvSGPouJQy0O9YbGVao1/M\n+OK3p+rekZShNGf+fQZmviul9P5B2G39KqN3POk+W9evRdkhI3P/sMFrHS3946yVI4jW1MzI3NtS\naquv33PJgl/mqO+9NaOde3dOG67PyKcO+vv87R5HbVCWddG9+OK0jzkm6a7cRa7VSv3jH0/95S9f\n7bpqwYJ0PvaxVP/7v8mee6b+1remtu++qdrttGbPTpYunfjwxz42A9dcM+2fYSpV112X6o47UvbZ\nJ2Vk5IFvWKl71VVpP/WpSauVjI8nzWbK4YencfbZKZONwtqQjL/+ddrveU+qiy9O2Xnn1E88MbXn\nP39K37G5Wra0lSfM/VZGl62+yPzQcD1nnf/UPOmQOX1KBgCwZSmlXF5V1bwHvE5JtHUYX3paxpe8\nO6nG0lu/ZSS1gSdm6CHf3+B/ZMO6ao99K8sXvTCrbVtfhtMceXtmbPsPSZKxO1+UzvKzknTv/2Fl\n2wzO/o80Bo/eoExjC49JZ8V/Z811jUp99wzveMOEkSWHnPu6XHr71ROes/PQQ3LrC76xUUaiVCtW\n9Mqf5ctTjjgiZbvt1v3eRYvSmju3V4ysadttM3D3ZIXZpqVqt9M988x03v3u5M47k8HBpN1O7Z3v\nTP3tb08ZuP/yu6qqtPbaK/ntb1c/MTyc2j//cxqvfe3UZb3++rT+/M97C4nfU+wND6f2vvel8Za3\n3HvdynWkykMecr+5q5/9LNXFFydz56b23OemDA9PWdZ+ufDcP+RVL7gkpSSdTpWk5P976yPzzvft\n0+9oAABbDCURq1TdhVn2p12SrLEjUhnJjO0+lebwi/qSi63P6IJ90m1fNfFE2SYjc+9MKY0su+0x\nqTr/98APK9tkxqxPpzl03AZl6rauzegdB66cctZObyHsoQxu/400Bv9iwvXbfOUvsrQ9NuF4I/X8\nx1NOzryHPCq7zdxpgzJNp6rbTWvnnZMFE3eLK4cckubFF/ch1bqr7r47rUMOSa699t7S5b4GB1N7\n97tTP/HEtRZ21a9/ndZ++9073e4+yr77pnnFFQ8u2223pXPyyb2pfjNnpvb616e67LJUZ52VdDqr\nXzxzZpq3357cdFNaL3pR8stf9t7/6Een9sY3pnbEESl77HHvs9vttI89tlcOtlrJwEDSbKbxgx+k\n9oQnPKi8m5K7Fo3n3LNvydhoO0c8Y+fsvuc2/Y4EALBFWdeSyJpEW4HOiouSMpBUa5RE1bK0x/5L\nScRG0+3cNPmJajypFidl+9Sae6fT+XUm3bFstXtaqQ8cvsGZas3HZHjOzzO+9NR0xn+cWuNRGdjm\nhNSb+056/cOG5+TXiycuqNtOJy+/9ANZ0W3lObsemi8e+u40a5veH7GlVkv91FPTed3rVi9JhodT\nP/XU/gVbR52TT06uu27ygihJli9P9/3vT7bffu0jgjqdydd2Sm/Ht87nPpfu/Pmp/vSn5KqrklYr\nteOO6xVPK0dtVVWVXH99UlXJIx+ZLFnSGzG0YEGvxEnSfec7s3J4zOTv+tWv0j7qqN5oqJXfsKmu\nuiqdV786nYGBlCOPTONrX0sZHEzn059OdeGF9/43WzkSrH3ssWlef/06j2CrqmqTXHdp1uyB/M3L\n93jgC+H/Z+++A6Qo7waOf5+Z2b7XO3fc0REQwRIQbNgLivU1lmg0RjSJJho1JjGaWPLGxPiqMRpj\nLLHHrrFgx4oiqBRBej2u97J1Zp73j+WOW3avcNwdBzwf/5HdmWee3Sswv/0VRVEURVH6leoKuTfQ\nUkl+w60h9MyB3o2yF9OMfZM/IVJAxKZzOf2/hYTR8xrbYtoiNr0s5SY0PbeP9jUcd/o/8OUuwpP5\nbKcBIoA/TLoYr57YzBqgMdpKyIrw382fccvif/fJ3naGDAYxr7uOSE4OkbQ0ouefjywrQ//hDzGe\nfhomTYKMDMQRR2C8+y7a9OldrmcvXIj5wx8SPf54zPvuQybJxOlv9jPPtAdhOhUIYP/xjwBIy8J6\n4QXMm2/Gev/9WMnW2LHg2f57jNhjmzdjXXkl8v774aWXYM0a2LgR+557iE6digyHsRctIjpqFNH9\n9yd6wAFER4zAvPlmqK+P31sgkDRbCYBoFPn55xAKtQeI2kkJ4TDyvfewfvWr2EMPPZR8rfLyWLCq\nG9azzxIZNoyophEZMgTrn/9kMGUSK4qiKIqiKIODKjfbC0hpEqgsRNrblZcIL56sD9Gd39s1G1P2\nOlb4U4K1xxPXkwgvzrT/w+m7rP0RM/wB4cYrkOYKEF4Mz+XozomYwRdBS8PpnY3uOmzA99/mHytf\n4YZv/kXADBG2kwcsslyp1Hz/9QHe2TZSSswjj0TOnx8LRAAYBuTm4li5EuH379B61qOPYl1xRWwt\n2wavF0pKcHz55Q6v1VsyEiHq93cfJAIwDIxlyzAPOCDWDwhiWT1FRbH9l5fHZyO53eD3xwI9nWT+\n4Pej33031rXXQkND/HOaljy7yeOJrdexB5TbjTjjDMSwYbGsp654vThaWojuvz8sXpz4vM8X+xqM\nH9/pEvZLL2FecEFi5thf/4reh/2X+optSz55v5K1K5vYZ980ph2ROyiznxRFURRFUXYnqieREseK\nLiZUezxSBgABMoIz9Q6c/it29daU3ZBtrsUMvQroGJ4z0PShPT7XCn9MuOl6bPNbhFaIM/XmTvsK\nSRkFjEF5g2jZFlWhegpfOBPZSWncPqkl3Dz5Ys4edtQA7w7sBQswjzxyW4Ckjc+HdscdO9ScWQYC\nRHNzE9fyeNBuvRXjmmt6tUdZVoZ1yy3Yb74JaWmxEfRTpqCdcw5aair2okVYN92EnDcvFuAaOhQW\nLQLT7H7xffaJBYJ62ojb54sFeYKJ/abiHHEEfPVV8ulwnREiFkRyOEDKWOnaAw9gXnkl8uGHuz3X\nYZpYd92FfeONifsrKsKxaVOXPyORffaBlSsTn8jNxVFRMah+vmprwpx22HuUbwliRm0MQ2PEmBRe\nnHsUKalqyIKiKIqiKEpvqSCRkkBKCyvyMchmdOdhCaO9FaUnIi1/JdJ0I7ESxtjNpTPtHpy+2Tu1\nrrSbiAYew4rMQ3OMx+G9FE3P3/kN97ODXr+Ur+qS3IBv5dVd3PW9K5k9ZtYA7gqshx/G+vnPk5Yo\naRdfjPHII0AsO0e++ipy9WrExImIk04CIRDatmpk+5NPME8+GZqaEtYS06bhmDdv27FLliAXL4aR\nI9GmTWsPQMhAAOv3v8d+7DEIh+HAA+GLL2L/nywD5yc/gcce67xcqytCxIJKPck4apOaGju+qyCR\n24044gjke+91nm3UlfR0jOXL0QoKAIhMmxZ7D7oyaRLORYuQoRDmMcfE3tuWlliGkq5jvPMO2rRp\nXS4Rcbtj7/P2NA1HIIBwJS+f3BVmn/0Zb71SSjS67d8mTqfG9y8azl/+qbJeFUVRFEVReks1rlYS\nCKFjuHa+0a+y97KjK4g03cT2k/Iijb/AcJ+Ephf1bl2rnGD1gUi7EQhghdxEW+7YWg55wM5vvB/9\n4+BfctQ7VxG2okRlYoZLwArz228e5JJRM9E1PeH5oBmmMdpCrjsDTfRdmzgxcmQse2V7Hg9sLU2S\npaVEp0+PlU61tsYCK6YZC9pMnIh+113Izz/HvueepAEiALl+PZH09Ni0LU2DmppYTx3bxtI0mDkT\nRo2CV16BsrJtwYq5c7t+Af/4R+9fvJQ7FiCC2OvvLvBjGGiXX4716aeJWVU9EY0i58yBH/0IiI27\n7+5jmrYyMuF2Y3z8MfKtt7A/+ghRVIR23nmIrKzurztiRGwa3PZyc2Nft0HCtiVzXinFjMa/K5GI\nzUvPbFRBIkVRFEVRlAGggkSKovRYNPAUkCQjgTDRlrtwpd3Zq3UjTb9G2tXERtADhECGCDf8CG/u\nol7udmB8L3scS055lP9b/hz/WPUKlkzMimmJBqmPNCMQ+Bxu3LqLsBXhyvl388T6dwBIdfi4+3tX\ncu7wY/pkX+KII6CkJDYJrC1gIgQ4nWgXXhibrHXFFbBly7ZMno59c5YuxTqmB3upqOj8OduG117r\n/YsYSF0FiJxOKC7GePJJxJQp2NOnIz/7bMeznFpbkevWtf9Rv+IKzLlzu16nQ2aT0DTESSehnXTS\nDl3WuP12zHPPTexJdNttg6LUrLEhwkfvxL6P7E6+DJY5eLKeFUVRFEVR9mSq3ExRlB6xzU0EqsYD\nnWVQOPHmrUfTh+zw2i3lWSDrkjxj4MuvRWipSc+zIl8Tbf0btrUZw3UiDt/sTo/tiZ0dDz75tYtZ\nXL824XG37iTXlU5FqA6BxjnDjyJimbyy+ROC1ragmwCGeLK5Yp8zuHr82bj07rM8GiMtbGytpDjk\nIGX+1wjTRBxzDLKxEfPvf4dnn90WCHI6YexY2LgxltGTrARJiedwoP361+g337ytdC4axXrgAew7\n74y9lz3l92M89hjaGWe0P2TeckuseXWyr4XXG+sf9dOf7uyrwH7lFczrr4e1a6GoCP2WW9AvvHCn\n191ZLz21gWsuXYBhxN7bQKuJlPED33RdcNIZRTz43CG7aJeKoiiKoii7P9WTSFGUPhWsPQ0r/F/o\ntEDGicP/W1ypv9/htVsrCpF2WZJnHPgKGhEicVx5NPAM4cYfgwwBNuBB6Hl4c77eoX5bLdEAv1x4\nH0+ue4eIHeWIvMncP/WXjE4tYm7FN2xsqeDArLFMyhwFgC1tljdsQAjB+LRhcUGlVzd9wnmf3EKg\nQ+DHrTsxLROTbRlGLs1BxI52+k4KBJMyRvL1yQ9TGqji8+pl5HsyOTR3v/aSNMu2uPzTP/PEhndx\nhiJENDhhcT2jKwJc+EkFYyrD1PsMNme5GFYVJC2UpO/P3kIIcLlifZCWLu20dC6plBT0Bx5AP++8\nhKekZRGdMgW+/jrxPLc7Fphry85yOmHkSByLFyMc8Q2YZXU15g9/iJw7d9skOpcr1pR68WKEz9fz\n/e5GNm9s5fBxbxIKJqYPebw6wYCF12eQmuZgzoLjyB+S+HtAURRFURRF6RkVJFIUpU+1lLmASJfH\n6J7z8WQ82aP1pF2LFfkCoeUQDb6B2XoH0LFpsAPddQIO/8+JNP4S21yO0HJw+H+D4b2MQGUeyO0n\nV7lw+H+FK/WWHr+uKW/MZlH9GqJ2rNRNIEh1eMl0plAdasCUFpa0mZw5mr8c+BPO++QWasON2FKS\n4vDy8ow/ckT+5Pb1Hl/zFr/6+h/URZpxaQ50odEY7UX/GmKZRdv/hnbZcM3blVz+5npym6JUpjm4\n5fQSHj6yAMO0ufX59Vz4cRW/PWc4/5meizNqEzUEl79Xzp+eW482eH7lDwyvF7H//hgffYTQdaLn\nnot89tn4VJWuZGTgKC1FeL1Jn5aWhXnuucgXXwRdj00wy8nBeO017CefxH7iCbAstHPOiWUjpacn\nX0dK7Keewr73XmRTE9pZZ6Ffc02nx+8J7vvLd/zlxqVEIvEBTLdH48TTi0jPcLLfgZnM+n4xXq+q\njlcURVEURdkZKkikKHsZ29yItCvQjAkIzd/n67eU+0F2Fezw4Uz7vx5NOQs330q0+Y8gXICN0PIR\n+lDsyBeABkRB+NHd38cK/pv44JEXw3sRZvAJkM0JawtjX3y5S7vdQ8gKM/P9X/FBxTcJz2kI7G5b\nCm+9HrB81hPsk17S/piUkuZogN8veph7VryI7OFaPTFjWT0v3b0cX4cb61anxrXnjeCRIwvwhi2E\nLbE0Qci1rVG2N2xx8wsb+Pk7yTK29lBeL9r//i/65Ze3T/Cy58/HPOqo7vsJCQElJRgvv4w2eXLX\nxwKyshI5bx7k5CCmT4+bDqckd8fvl3L3bcsShts5XRq//dMkLrt67K7ZmKIoiqIoyh5IBYkUZS8h\n7U4mZFYAACAASURBVHpCdWdhReaBcIKM4kz5Pc6U6/v0OqGG2ZiBx0neuNqJ0IfgzfkWoSUvjZF2\nHWboTazoIszAP0B2vEnXQB+Hw3sR0eYbgCidl7UBeLc+nziuXHMegTf7w8TrS8kHFV/z+Nq3kUjq\nwk28XfYlpuzFKPPt5LnTyXFl0GIGGeMfyoiUAta1lPFORd//PvNELP7wwgauejs+2FOe5mDY3w6O\n/UHKWJBjO0Pqwqy/+ss+39Og5PVivPIK2rHHJjxl/fvfWD//eew9ikZh9GgYNgzeew90HXHccejX\nXYeYMmVQNHbeUy1aUMsZMz4gGIj/GXR7dN795nhGje19fzFFURRFURQlngoSKcpuQkorVjYl0hAi\ncUR6d4K1J2KFPyCuFEx4cac/jeE5tcfr2FYZkaYbMMOvI4Qfh/enOPxXI0SszEPaTQRrj8Y2V4C0\ngK03diITh+dsnKk3IbTk47ijgWcIN1wCQgcZ3HZur+kIfTjSWgd0TEPwortPAwGaMRXdMQZpbUFz\nTODXi+by+Lp3qIrsfFBoV3NHLDb+Yj7pHW6uJeB59FCk1nlQwx2xaLx0Xv9v0OGIBao0LX5iWm8I\nkVgaJgQYxrapbT4fTJkSm+RWUQGjR2PceWeXU8BkKIRcsgSRmYkYNWrn9qj02rWzv+TlpzcSaLUQ\nIhYguvhno7nxL91nbymKoiiKoig9p4JEijLISSmJtt5NpPmWWFaN8OJM+R0O3y97nL1gW5UEKocB\noYTnNMd0vDmf9Wwvdj2BqnFIu5b2MfTCi+46DU/mU3F7tiOfYpvL0Yx90JyHd7vXaOAxwg0X03Vm\nUG84SeyRJLY+Ht76/7HjApaJQ8QKyBY0pjB72Vg2hdx9vJ+Bkxowefq+7zj224b2x0oznYy8a2qX\n5x26opH3/7SkfzcnBOLSS9Gvuw5z4sRtjZh7eC4eD0QiiMmT0a69FutHP4ovDdM0GD4cceqpyFdf\nRaSlof3iF2gXXKCyfgap2pow9/15OW+9uoW0dCeXXjWG088tQQiBlJJPP6jkpac3YhgaZ10wjKmH\n5uzqLSuKoiiKouxxehokUp0gFWUXiQYeJNL8u21lVzJCpPkmwI3T/7Muz5V2C9HgU1jhj+ks+CLt\nyp7vpfUhpN1Ee4AIQAawQi9hm+vQjBEACCHQXYehuw5rP8y2Kgk3/hwr9CoAuvt0XGn3oOm5mKG3\nCTdc2uked06yDBXJtnK4tmuG8Wjbqq+mpDbxrwkrOP6rSWwLJO1eLE2Q3Rxt/3OrU+OGs4ZtO0BK\nDCvWl0hqAs2ycUcldzyzrv8353Kh7bMP2qhRaL/8JfY990Drdr2sDANMM/4xjwf9qafQ9t0X8vIQ\nqVtLjYJBrCuvjAWHTBNGjMDx+uuIkhK4887+fz1Kr0kpeff1Mq644HMCLRaWFfuZvG72ApZ+Xc/v\n/7o/QggOOzqfw47O38W7VRRFURRFUUBlEinKLtPZ2Heh5ePLL0943DbXEw38Czu6BCv8PrGSrWjC\ncTEGhvdS3On3dzh/E9KuQjPGI7T4SU3B2lOwwq8nWceLO+NxDM+ZSa8iZYRA1T5IazPbAkwGQi/G\nm7uCYPVUbDOxMfRA6tieZ051Bj9ZNppa07n12d0zSOQLmcz7/SJGVIfYlOXi92eW8MLBue3P65bN\nX59Yy5wDslib6+F765r59WubGVfWTbPmji68EP2447AeeQQ++KDn53k8ONauRRQUIKVEvvYa1r33\nImtqoLAQkZ6OOPhgsCzsv/wFysthxAj0O+5AP/30pEvKYBD5zTeIjAzEuHE934uyywSDJt8/5kMW\nLawjut30MgCXW+PL9aeQm6/G2iuKoiiKogwElUmkKLuYlBLbXA6yEc1xAELElzdJuyL5eXYlUsq4\n0plo678JN15KXKZPp5ygpeJMuWHrenUE687AjsyPNbbGwplyO07/FUCsF5FlrulkrQBm5PP2IJFt\nlRFpvgUr9CZCy0RzHoa0a7bbl4m0NhMNPIFtLuvBfvuXEGBL+MnyMTxdnsvuGhjqqNVtMOn2A2N/\nSFJi5XR6GPbvZ3krlE908mQIJjb47lJmJsa//oXmdCJGjcI89NDEzJ/YhWIZPs6tQTfbxnj6aURB\nwdatCcSsWWizZiW/zi9+0aPtCI8HMX36jr0GZZeQUjLvwypu/dUivv2moT17aHtOl86Sr+o5ZqYK\nEimKoiiKogwmKkikKP3ANtcTrJuJtDYS+zGTuNLux+H9QfsxQh+NtFYmnCv0kXEBIjM8n3DjxT24\nqoZmTER3HYPDfy2aHivfCNWdhR2ZB0RBxvrDRJquAX0UDtdhBKq+B7Lzsehm6520hl7H6b+BcPM1\nYNcDJtLeHAuCJc1mihJp7K8ysx332JZ8nq/IYU8IELUTgth/YG/3Pqc7/cwaeihCaOhPPol18cWx\nQFG0k8yzrKxtJWFnnIHj7rsRWwM/2tSpiHPOQT75ZOJ5uo7xySdQUwO2jZgxA+FRN/17Kykl11y6\ngFf/E2tE3RXLtMkt2H37gimKoiiKouypVJBIUfqYlJJg7TFIawMdJ2+FGy9Dc0xAd+wPgCvtTkL1\nZ283Ct6LKy2+z0q44aKeXVi48eYuinvItjZjRT4nMZATIVI/E9t/K8jkGU1xr8lauTVQJYmfJtZZ\nuRvbHbdrPbB5CFGp7ept9Nhh2RM5OHcC9618hYDVeeNniURDw6s7MaWFU3OgCcHLM/6IJmKvVz/j\nDLSTT8Z64gnsH/846Trab36Dcc01nV7HeOwxzDVrkF9/vW1amc+HdsYZaAce2PsXquxR5n1UxYtP\nbiAS7vpnX9OhZKSfiftnDNDOFEVRFEVRlJ7q9yCREOIE4B5ABx6SUt7e39dUlF3Jjn6OtKtICJLI\nENHW+9DTHwLAcM/EnfEykeYbsM1VaMZonCm3YbhP2LrOcsLNf0ZaK3pwVR3Dc07sPDtMuOESrNDL\nxII4nX2ib2O23LADr2z3HR3fbOkDej0Nwb+m/YofjZ5JY6iZR9fNoT7czElF0/DqLn7+5d/4qGoR\nutCwpY2NREPg0Ayu3/c8/jDpR0Rtky9qlvNN3WpazM7LxXwON/88+Dq2BKrJdqdxRvERpDjie04J\npxPjkkuIPvYY8rPPwO7wvZmbiz57dpevR2gaxkcfYT3yCPKJJ8DpRLv0UrRzztmp92lnSCmpq6uj\nsrIS0zRJS0ujoKAAZ1vpmzKgPnm/gnOP/xCrm18TQsBB07L51/OHqGl0iqIoiqIog1C/Nq4WQujA\nKuBYoBRYAJwrpVye7HjVuFrZE5ih/xKqvwBkU8JzuuskPFlvdLuGFf6IYN1JW8vDus/IEVox3tzF\nILy0VhSBrO7N1vc4UkJpyMkf1g7j5cqcfs0m8usesl1pjEwZwg2TLuTI/AO6PL4p0sqnVUtIcXjx\n6m6eWPc2XsPF2cOOYnLmaABM2+S10nnMKf2CuRXfsKZlS8I6bs1J6VkvkuVO63aPMhzGuu027Acf\nhHAYbdYs9D//ub2H0O6ktLSU6upq7A4BL03TGD9+PC6XaxfubO9TVxvmwKH/JRTsPELkdGm4XBoP\nv3SommSmKIqiKIqyCwyWxtVTgDVSynVbN/Uf4FQgaZBIUfYEumMayGTj2b3orpN7tEaoYfZ2ZWid\nk4DmmI7Q0gk1/gppVyfrZbzXqY/q3LR6GC9W5mDaGhIwhI3ZD4GiDKefDWc8T6rT1+NzUp0+Tiqa\nxl3Ln+WGbx4iapvYUnL3dy9w1biz+N8DLsPQDE4vPpzTiw/n8+pvOeadqwlY4fY1PLqLs0pm9ChA\nBCBcLoxbb4Vbb21/LBAIULNpE7Ztk5GRQWpq6qDP8DBNk6qqKrb/kMO2bZYvX86ECRNURtEAeu25\nTUSjnQezNQ1+9+dJnPujEfhTHAO4M0VRFEVRFGVH9Xcm0VnACVLKH2/98wXAVCnlFR2OmQ3MBigu\nLj5w48aN/bYfZc/TErF5ZV0rDWGbo4d6GJc5OG4Mw003E229A+TWZsB4EMYwvNkLE8bPb0/azbRW\nZFITTuGRdefy+pZjaAinMe+4U/A74gNHli3QhMSSOi3yIFK1+WiD+/6+X7WNu/+kLpUzF+1L0N65\nMjOX5iDDmUKLGaTFDKIh4ppECyDN4WdSxkgao62cMvQQrh53NhmulB6tv6mlkrGvnk/Iig8qenUX\nn514f3tGUZvXS+fxs/n/R3mwDl1oXDD8ePbLGMGn1UsZnVLE7DGnMNSX1+PXV1lZyZYtW9qDLZqm\nkZKSwsiRIwdNoMi2baSU6Pq2r2VTUxNr166NyyLqKDU1ldGjRyd9TukbCz+v5rrZC1n9XVNskmMX\nCY9XXL8PN9w+eeA2pyiKoiiKoiQYLJlE3ZJSPgg8CLFys128HWU3Mq8sxImvlmNLMO3YyPiLxvm5\n78jsPr/BlVLyweYQCyrDlKQanD7Si9voPCMl6r6Rxuhk0uU/ELIezXUmH9VdxEefh5iUbXPaSB82\nksVVIZ5e1cpTK1oIRCXD0wwuGudFD5zH9Yt+i7X1RzTD0cCShnFMz/kq7jq6JrElGJpFmpy/V2YQ\nSRnLprIkfNfipdAd4XerhxO0k399nMLgsjGnMiFjGM+tn8v82uW0mtuaQ+tCw5I2fsNDkTeHT0/4\nOx9XLeHDikUUerOJ2iZPr3+PqG1S4stjXvW3fFS1GIDvGjfy2No5LD7lUdKd3QeKXiv9LOm8tbAV\n5aWNHycEiU4ums7Mwmk0RlsImhGmzbmcpze8S6sZwqk5uOu753j7mDs5JHdit9eORqNxASKIBWSa\nm5tpbGwkPT292zX6k2mabNy4kcbGRgBcLhclJSX4/X6cTmdCFlFHTU2xwMVgCXTtaeZ/WsXph39A\nTz5jMhxw2TX79P+mFEVRFEVRlD7R30GiLcDQDn8u2vqYouwU05bMeq2CpkjHuxTJ4ytaOHGYl1NG\n9LzspzuBqM3RL5XzbW2EoClxaPCzuRpvzMqjImCT7dE4ZIgbTQgqWiMc9WIF39WbwER0cT8/2y+F\nJ1a0UB9uaV+zLXyx/Yfv39WbXD+vCbiJjuPa66PpnPbJY7w54zwOylwSd05b5tDeeT/sJeI8m/tW\nz+OJsizWBIz2sfCQ/A72j/tfyrX7ngvAJaNm8sz693ly3Tu4dAdnFB9BaWsVG1orOCJvMmcPOxKX\n7mwv+Wpzw34X0hhpIf/50+KygMJ2lKpQA/eteJkb9ruw293rQm/fbUdCCAwteRaUEIJ0Zwo3fnM3\nZcFaorYJQMSOErGj/PDTP7L69GfaAyShUIiKigqCwSBer5f8/HxcLhfNzc0IIZKWbNXX1+/yINHq\n1asJBoPt+wuFQqxevZoJEybgdrvxer20trZ2s4rSH35y7uc9ChDpOtxw+ySyc9Soe0VRFEVRlN1F\nfweJFgCjhRDDiQWHzgHO6+drKnuBeeUhonbiXUprVPLwsuY+DRL9aUEDi6rDhLb2ZLUsCFk2058v\nx+8Q2BI8hqA2lFhvYUn42+LmhMd70Io64c9By8ONS37NnBl7yI+QNhzsDSQP5jjQ3Rfi8J6PbbcS\naTgT2L7PkwuH7zL8af/HZf46Aq7n+aDiK4b7C8h2p/HomjkEO/TvAXDrTmaPmdX+Z0MzuGDk8Vww\n8vgd3v7XdatwaY6EUrGQFeGFjR/2KEh0WvGhXL3w3oTHHZrB2cOO7PLclzd/3B4g6mhLsIayYA2F\n3hxaWlpYvXp1e1lWIBCgrq6OvLw8QqFQwrltOpZ2BQIBQqEQHo8Hj8fT7WvqC23XTBbAqqqqoqio\niFGjRrF8+XKi0WjC+btDX6XdTSBgsmZFE3kFHspLO5+2B+BPNThgShbX3zaRA6ZmD9AOFUVRFEVR\nlL7Qr0EiKaUphLgCeBvQgUeklMv685rK3iHaxZjlsNWzqkXLlpS2mLyytpVb5jfQELbJ9+nsl+XE\naQiOKnJz8fhU/v1dc3uAaHst0di1AubAVEp+XTeR5qgPQ0Rx65HdOHvIizvtTsJNv0HaW0C2gPAj\nhBdP9hdoxvC4ow1XOcGaKUhrM6CB0NAc38OZchsAeZ5Mbj/wsvbjmyKtzNkyn/JgbXsQx6u7uXXy\nJTvUXLorue4Monbyb4wl9es46u1f8NpRt1MXaeLLmu8o8GQxLWffuOBFvieLBw++ltlf/BUNgUQi\niWU77ZNW0um1P6/+ltZo8iCPLSUePTbda9PWhtRxz9s25eXlna4thCArKwvLstqzeSBWctnWr0jT\n+m9KXFsZXGf9htqCW4ZhMH78eFasWEE0GsW2bTRNQ9d1Sko6f++UHfePO1dwx01L0TRBMJAYmOzI\n5Rbcfv9BnHn+sIHZnKIoiqIoitKn+rVx9Y466KCD5MKFC3f1NpQB8GVFiFu/bOC7ugj757i4cUo6\n++X0fGx1RWuU0f/eTMt29ys+h+DBo3I4bx9/3ONrG6Kc82Y5C6u3neAkMTdlsBPYnDX0dTJd9RyU\nuYhTC9/GY4S7P7FfNpOC7v4x2BuwwnOIZT9FieVJdZUr5cLwXoIr7e+AiRV6DSu6GM0YieE+q9PG\n3lJK7Mg8bGs1mjER3Xlgl9trjLRw38qXeXXTp+R6Mrhq3P9wdEHX5+yo/V/7EUsb1mHJxNfr1pyM\nSBnC2uYyXLqBLSVDvNm8f+xdFPly446tCNbyyqZPsaTFKUWHUOzvvPn0lV/ezaOr36TVSgwSGULn\n0Nz9mHv8PUgp+frrr3v0OoQQ7aVnQ4YMIT8/n/Xr11NfXx+XzSOEIDc3l6Kioh6tu6NM02TZsmWY\nZvJAhBCifX9tpJQ0NjYSDAZxuVykp6f3axBrbzPnlVJ+dv7nBANdROY78KcaLC47Da9vl7c8VBRF\nURRFUTroaeNqFSRSBty7GwOc9nolQTOWNSGIlWt9cGYBU/O77l2xqcnkB29X8UVFCClj5VyGgKiM\nBYhmFHp49ZQ89K2Ner4sD3LSK+XU7m7RoB5wayEen3YFR+Z9hktLnlXUNu1rmxTQRoC9hM569sQI\nEDk40+7ADn+MGXySbQEgD4bvx7hS70CIWGBP2i3Y1lqE8BGomkBn4Tfd8wOc/uvQHfv15iUPOuWB\nGmbN/S0La1f06Hhd6ByUNZYvTnqgV9f7smY5R759FYEkASKf4abQm8OHx91DgTcbKSWLFi3qNCOn\nI03TKC4uJjU1FYfDgZSSb775JmlzaF3XmTy5fyZVlZWVUVFR0WlTasMwmDBhAoahAhAD5ZAxr7Nu\ndUv3BwJOl+DVT45h8vey+nlXiqIoiqIoyo7abaabKXufKz+qjSvPksTKtX75cS2fnV1Ia9TGtCHN\nFZ8NELUkhzy/hfJWi44VZbommD0+hUk5TuZsaGXYo5sYnmoQMSXzq/as6JCOiS5MCjxVWFLjz8t/\nwfhMkyLXPJAWHd8xG4EuJGDgTPk9mmMyuutE7MgXBGuPAZKUKwk/IBBaNp6sD9GMYvBeiEy7Bynr\nEVo+QiT+2hCaH12bFNujawZWeC6xoFIbJ46UW3ClXN93b8YgUODNZsHMBzEen4HVg05TlrRYXLeG\nza2VOzSqvs3Lmz5J6LME4BAGs0fP4s6DftZeziaEIDs7m+rq6i4ngUEsGycrKyvhsWR6EnTqrbap\nZMn4/X6GDx+uAkQD5OlH1vLbny0kHOr+gyRNg1O/X8w9j03F4UjecF1RFEVRFEXZPah/bSsDKmpJ\nVtUnNpoFWFgZ5oRXyvlgc6wHyr5ZTv59bE57GdqbGwI0hm22bzmkCfA7BVd/HAs+SaC0pWelEbsT\nXUCKw8HfDvdw/lgdoY9CCB04FdtqZO2GcWxoKaDZ9HJg5lKyXLHR4WhZOFN+175ONPgYkKxEzYfD\n+2N096nozsMRYlvISWg+BD3r5eNKf4Jg7TFIaz0gQEbRPWfi9F/b69c+2Egp+bpuFbXhRqZkj+Pg\nnAl8Vr20R+fqmk5ztOvGv51xaQ50oWHK+O9vp24wIX1YQrPmwsJCotEoDQ0NCCE6DfB4vfElfkII\nfD5f0ulhqampPdqraZo0NjZi2zapqam4XN2Xk7pcrqTX1DSNkpISnE5nj66t9Fx1ZYi5b5fjcukc\nfVIBPr/B+TPnMndOVY/Od7k0Pv7uJIqH+7s/WFEURVEURRn0VJBIGVCGFisLa2v43JEl4f1NQdqS\njL6pjnDYC2V8dW4hi6ojvLUhSCRJU+qAKXlmZQutA9Q8elexJDREJJd/aDI8vYRDC7d9Yq/paRRn\n/w8Fnn8BHQIQwovDd2X8QjJK0lIzoaE7p2O4ZuzUPjU9F2/OYuzol9jWRnTHgWjGyJ1aczDZ0FLO\nCe9dS2mgBh1BqxlKGEbnFA6EAFvaRLcL6Lh0Bw6hI6Xc4Qlc5ww/mr8sewbT2rbm4SkTuCz3RMa1\nFrJq1SoKCwvx+WIBPU3TGDFiBJFIhHA4THV1NfX19QnrDhs2LOGxkpISVqxYgZSyfa+apjF06NBu\n99nY2Mi6deuAbRlJBQUFFBQUJBwbCoVoaWnB4XCQm5ub0AcJwOPx4HarMep97eF7V3HrrxZhGBoI\nsEwL24ZIuGe/Sw1DMP3IXBUgUhRFURRF2YOonkRKr0QsyeLqMClOjbEZjribXSkljy1v5o6vG2kM\nW5w83MdNUzMY4o/FJH/7WS33LGqKKzkztp6+fZzHIUAKcGuxvkPhJAlCfodASgZlkMipwdWTU7l3\ncROd9X3ViAXOIBa6MW0IdTOh7YQSD3NOi7/hljJMqP4CrNBrIFwgQxieH+BK/+fWjKMYM/Q2ofoz\nQW6fseHBl1+G0NJ38FXuPaSU7PvfC1nRtBk7SbPqNrnuDKZk7cMbWz6PC8cJYuPtDaGT487g6cNu\nZHruxB3aw99XvMh1C/+BrmmcmHogv8ibhUfblmGjaRpjxoxpDxRtr6amhrKyMizLwufzUVxc3GkA\nJhqNUl1dTTAYxOfzkZ2d3W25l2VZLFmyJCFrqa3ptcPhIC0tDZfLxYYNG6ivr2///aHrOgUFBZSV\nlWHbdvtENVVm1vdWfNvAiVPeJRTsfdbliacX8rfHDsaf4ujDnSmKoiiKoij9QTWuVvrcx1uC/OGL\nehZWhmiJxhoi6wKGpzp489R8RqbHbhS+/0Ylz69pjbs5znYLvruwmGyPjmlLfv5hDQ8vayZqxwIj\nmgC7F9+KTg2GpzkQSFbUdz2auS/5dDhrjJ8Dc10U+3WW1IR5e2OQ+RURdBHr0ZHi1Hjz1AImZjvZ\n/+lSVtZHE0rlUp2Cl0/Oo7zVItejc0Shm2s+reOhb5vRBHGBtI5GpRmsvqg46XO2tQVprkMYY9D0\nxL43UkrCDT/EDL0EMkAsodDAlfYADt+FO/nO7NmW1q9l2pyfxLKHuuDUDHQ0gnbXPbH8hoc1pz9D\nnidzh/ZRHqjhjdIvmNiShyETJ3mlpKQwZsyYHVqzr9TV1bFx48ZOS9vaAkIpKSm0tLQkHOd2uxk/\nfjzhcJhwOIxt2yqTqB/cev0i/nnnSqxuAtLJZGQ5eXHukYybmNEPO1MURVEURVH6g2pcrfSp19e1\n8v05VfENp2UssLOqIcoRL5Sx6ZJiFlaGeW5NYk+R2pDk74sa+P3BmbRGJffOyObz8jBLaiPt6+wo\nAVy6bwq3Tc/kzfVBLn2/utOgys7y6LEMn7YquVYLnl/dSopD48rJaZw6ys+NB0MgavNZWQiPoTGt\nwNU+Ze3zswv544J6/r28heaIhc+hMXO4l5umZjAiLf5T+HtnZPO/0zNZ3RDh0OfK2P6Dfl3Q5RQ4\nTS8EvbDT54UQuNIfwxG5DDP0XxB+HN7z0YwRvXtz9iL1kWYM0X1jXlPaRGT3QUtTWvx7zRyun3j+\nDu2jwJvND4cfz9KlS5FJSgcDgcAOrdeXetIkG2JNqpMJh8MEAgE2btxIOBxuPyc9PZ3hw4fvcIle\nXwgEAlRUVBAKhfB6veTn5+92Qav6ujBzXi4lGLA48oQCQgGrVwEil1vjy/Un409R/aEURVEURVH2\nRCqTaJD6uirM3d80srHZ5NihHn46KZVMdywL58PSIM0RyRFFbjLdAzNJZuSjm1jX1PVNb6ZLw2VA\neWvyDIJiv07IktSHbVw6hMzE8rKOBF0PaU91Cv5zYh4nDos13b3zqwb+ML8eCVg2HF7g5J3SxAbN\nOpCswEIAbkMQ7LApjyF4/ZR8nl/TwkPfNifs160LSi8pJsvTP1+HW+bX8eeFje3BL0GsNG3huYWM\nzVA3aQMtYIbIfW5Wt5lEhtATmkt3ZvboU/jntOt6dKyUkkgkgq7raJrG4sWLk2bseDwexo8f36M1\n+5ppmixZsqTbYFFnNE3D6/XS0hI/dl0IwZAhQ8jPz++LbfZYc3Mza9asiXufNU1j7NixCQ2/B6v3\n3yzj0v/5DCHAsiRSQnaOk7LSrr+Pt+f2CN6cfzzjJqqSVEVRFEVRlN2NyiTajT2/qoWL3q0mZEls\nCV9WhPnH0iYePy6Hc9+qImRKhICIBX86JJOr9k9Luk59yGJxTYQhPp0xOxFQiFiS9d0EiADqwnby\noVlblbZsGxIe7WKKti4g3aVxcL6LuaWhLrODjA5JBdccmM4Vk9IobTHJ9eqkODVsKfl0S5BX1gUp\nSdE4daSfORsCXPtJXdy6Lh1OGuZhnwxnrH+QKRmV5uDeGVkcVezh2k9rkwa0XDqsrI8yvZ+CRDdO\nyaA4xeD2hY1UBSymF7i4/ZAsFSDaRbyGm7sOupKrFvyNoBVBIhG09ZOSOISBQ9P54cgTeGztWwSS\njKvf3hPr3uHArLHMHjOry+Pq6+vZtGkT1tam1ampqWRlZVFbW5sQwEjWILozHRtTd5WlE4lEaGpq\nQtM00tLS0PXk3/OGYTB06FA2b97cq0CRpmkJAaK2fVZXVw94kGjTpk0JgTjbtiktLd1lJX07ItBq\nMvvseQS3a4q2owGinDwXCzfNwulUI+4VRVEURVH2ZCpINMiYtuTyuTVxAYyQJakJWpzy34qEtjr4\nkgAAIABJREFU0qMb5tUxrcAVV34kpeSmL+r561eNuHSI2HBgrpNXT8nvVeaRQ4MUp6ApsnNZZ13E\nhdq5dMG1B6Ry2/QspJSc91YVL69tTdqwWiA4vNATf74h2nsjAWhCcHiRl8OLtn3if9nEVJbXRnlo\nWTMuXRCxJQfnu3j02DzSXBp/nJ5J1Aanvu2GeVyGg8U1kYSyuLAFw1L778dICMFF41O5aHzPxo4r\nPVMdauDvK17ik6ol7JM6lF+M+x/GpiXv8bS9S8ecwsSMEdy74kUqgnWcMGQKKQ4vH1UuptiXy+wx\nsyjy5rC0YT2L6lbTYgZxaQ6i0sIhdMJ2NG69oBXm6gV/p8SXz/GFU5Jes7W1lfXr18cFXZqamvD5\nfOTk5FBdXY2UEk3TKCwsJCOj+14xUkrKy8uprKzEtm0cDgd5eXl4vV7cbjcOx7afo/LycsrLy+OC\nSCNHjiQ1Nfn3ZXZ2Nq2trdTW1iKESBosEkLgcDgwTRPbttuDVMXFxQmvtU1nfY76i23bhELJgynJ\nAlmD0YfvVCC0nfvd7fVrvPrpMSpApCiKoiiKshdQ5WaDzPLaCFOf3ZJ0RHwymoCLxvl5+Njc9sf+\ns7KFH79XHTfty6nBjCIPb5/e8wyDjm7+oo6/fNXY654/Gp0HiVx6LNjidwiKUww+P7uQVFesGa+U\nkjfWxzJ/1jRG0UUseCOB107J58ihnk5W7V5lq8nS2gglKQ5GZ3Q9nWdJdZhpz5XFvX6PDjOH+3h+\nZmJzaGVwWtm4iftWvMy/1ryGZdtEpYkuNFyak9ePvp0j8w/os2tZtsVbZV/yXvlCCjxZnDvsaJ5a\n/y6//ebBpGWUM/L2Z+7x9yRda926dUlH1wshmDBhAg6HA8uyMAyjxz17SktLqa6uTgi8aJqGlJKs\nrCyKi4sJBAKsWrUq6XGTJk1C0xIbZ1dVVbFly5Yum1dnZWVRVFREY2MjTU1NOJ1OsrOzcTgcLFu2\nrL0fUUdZWVkMGzasR6+vL0gpWbRoUdLX4XA42G+//QZsL7312vObuOIHnxPpRZBfN+CM80u45qaJ\nlIxQY+4VRVEURVF2Z6rcbBeobDW5+uNaXlkXQBPw/dE+/npYFhk7kL2T7tIwd+DDcltCQzj+hDu/\nbkgYBx+x4aMtQaoCFrneHf80+MapGbREJfctbiJkJWuVGy/PoyEBr6Fx9QGpPPldCwuqEic9ZbkF\n1xyQzoYmkyMKPZw12heXwSOE4OQRPk4e4eO7ugjvbgqS6tQ4faSPNFfizemOyPMZ5Pl69iOwX46L\n12blc/kH1axvNDE0wQ/H+7nr8Kyd2oMycP658lWuXvh3QlY47vvXkjYBK8SP5/2ZNaf/p88aI+ua\nzsyiacwsmtb+2Kyhh/LHpU/QYgYTjt8cqOp0rWQBE4j9fESjUVwuV9JgTWds204aIGp7DmJTytxu\nN6FQqNNgT1NTE+npif1p2rKTksnLyyMjIwOfzwdAZmYmmZnx092GDRvG6tWr29cQQqDrOkOGDOnx\na+wLQgiys7PbM7XaaJpGbm5uF2cODjVVIVYua+xVgOjcS4Zz2z0H4u3h70hFURRFURRlz6D+9ddH\nwqZk6rNlbGkx23vXPLmihS8qwiw5v6h9yhXA0poIf1pQz+KaCPvnuPjt99IZnxXrMTPEbzA138W8\n8lCXfXva+ByCs0bHf8JbG0p+oqEJGsK9CxJpQnDHYVncfHAGlQGL2pBNZcDi8e+aeW19IK7Zs9cQ\nPHpcbntDaYD9sl2c9GpFwnF/PTSLiyb0rJRqXKaTcZm7rhfPUUM9rPphMS0RG7chMLSBn7Kk9E5V\nsJ6rFtxLqIuR9FsCNVSF6nd4HP2OGJmSPMhhCJ0ZeZM7PS8lJYVgMJhQgiWl7NWULdM0u+0XZNs2\nlZWVXTZn7iwQZJrJe5gJISgoKOi0n1Ebv9/P+PHjqa6uJhQK4ff7yc7OxjAG/q+swsJCTNOkvr4e\nTdOwbZusrCzy8gZ3BuHSb+o5c8b7RMI7XqJnOAS333+QKi9TFEVRFEXZC+1cKobS7qW1rdSGrLjm\nxhEbNjWbvLMpljVQFbA44eVy9nuqlGdWtbK8LsozK1uY8p8tzK/Y1vfiuZPy2C/bibObr47PITgg\nx8VZo3xxj59Q4sWR5FyPLhiZ1nVZVXe8Do3haQ4OynMxc7iXx4/L5byxfty6wGsIMt0af5+RFRcg\nglip25un5jM1z4XfIRif6eDx43J6HCAaTPxOTQWIdjPvlC/A0Lq+4ZWAz+jfseYu3cmfD7gcr77t\nOrrQ8BsefrffhZ2el5eXl5AppGkaeXl5vQqcOByOHmVMWZZFc3Nz0ueklJ32JPL7k5cmORyOHmc8\nuVwuioqKGDVqFPn5+QMaIGqbImdZFpqmMXz4cCZOnMjo0aPZb7/9KC4u7rOMs/5y5Q8+p7nJJLyD\nQSLDIThm5hAVIFIURVEURdlLqUyiPrKkJpy0j1DYkiyrjXBkkZup/9nChub4T9htoNWUXPVRLZ9/\nvxCAXK/OwnOLuH1BPbfMbyBoJa5bnKJz+yFZnDXKh0OPv1m5cWo6L65poTFiE7ZiY9M9huD+I7Pj\nMpr6gssQPHRMDvcckUVt0GaIX+80gDKjyMMX5xT26fUVpSccQu/ypt6pGZxcNA2/o/9Hmv90n9Mp\n8edz+7dPsiVQw4y8ydw06SKG+TvvF+ZwOBg/fjxlZWU0NTVhGAZ5eXkJZVo91ZbRU15e3mUzaLfb\nTTCYWBoHkJ6e3mngpqioiBUrVsSt3daUerAHV+rq6ti8eXP7FLmMjAxKSkpwOBxxzbwHI8uymftW\nBe++UcbK5U07fL7LrVEyws8dD36vH3anKIqiKIqi7A5UkKiPjMt04neIhECRWxeMzXDwwppWakJJ\nRnRttbAysefIheNS+MP8hoTH/Q7BvTOymTXCl/AcQIHP4NsfDOVvixp5b3OQYakG1xyQzkF5rh18\nVT3nc2j4kqUvKcogcGLhwVidBEPcmpMDs8bw8PTrB2w/2/cq6ootbeZsmc975QvJdWdw4ajjKfTm\n7PQe2rKQysvLiUQSy/B0Xcfv9xMIBJKe73R2Xvrp8XgYP348FRUVtLa24na7yc/P77J0bTBobm5m\nw4YNcaV49fX1SCkZMWLEgO7FsmyWLW7A5dIZMz612+BabU2YUw95j/KyAIGWzv+u6YymwSMvHcqR\nJxQM+kCeoiiKoiiK0n9UkKiPnDXKx/Wf1hE0LdoSfwwNcrw6Jw7z8pvP6rqcWJaepAnzEL/BjVPS\n+d8FDQTNWLNon0NwSIGbmcO6vtnK8ercOj2TW3fmRe1mVtVH+KwsTL5P59hijyoJU9qlOn08f8TN\n/M9HN6EJDcu2iNhRiv35zCo6hN9M/AHpzpRdvc0EESvK8e9dy8LaFbSYQVyag9uWPM5LM27j+MIp\nO7V2W1Pm7OxsAILBIJWVlYRCIXw+H3l5eYTDYWpqapJONuuspKyNy+WipKRkp/Y40CoqKpL2fWpo\naCAajQ5YJtFH71bw0/PmEQ7bSFuSk+fmsf8eztgJaZ2e87uff8Wm9S1EezgZsyMh4MY7JnPUiQPb\nGFxRFEVRFEUZfER3zUsH0kEHHSQXLly4q7fRa5uaTH4yt5q3NwYRAmYN93L/kdnk+Qwe+raJqz6q\nTZg6BuDS4HdTMvjd1Iyk635WFuKhb5tojkq+P8bHGSN9fV42tjuzpeTH71Xzn5WtaFqs0ZbfqfHR\nmUO6HW2v7F0aIs08vvZtblr0MBHbJGiFcetOnJqDj47/G5MzR+/qLcb558pX+eXC+whYobjHM50p\nVJ79KobWv3F+KSWrVq2itbU1LnjicrmYMGHCbptxYts2NTU1NDQ0YBgGubm5+P1+vv3226ST5DRN\nY+zYsQOSCVVWGuDQsW8QDMRnA2XluPi6dFbSXkFSSoZ5nu9Vk2qnS+PM80u486Epu+3XU1EURVEU\nRemeEOIrKeVB3R2nMon6UHGqwRunFmBvvZnSOvyD+5wxfm6YV0fQktjbxYkuGu/nN99LHCPd5pAh\nbg4Z0r8NdXdnT65o4blVrbHeTVvvq1qiFqe9XsGyC4bu2s0pg0q6M4WFtStpNUOYMvbNErIihKwI\nP5p3O1+f/PAu3mG8J9a9kxAgAojaFgtrV3JwzoSE56SUBAIBLMvC5/N1O0msK0IIRo0axXfffRcX\nPIlEImzZsoWioqJer72r2LbNihUrCIfD7RlSjY2NDBkyBL/fnzRIBPRqilxvPPvoOqwkfejCIYv3\n3yznxNOSv+f29n+xdEPTYOTYVB58bjr77Nv53z+KoiiKoijK3kU1kekHmhBxASKIZbZ8/v1CZhS6\n0QUYAg4f4mL5BUU8cHSuygzaCfcvbkrI0JLAhiaTNQ3RXbMpZcBtaqnkR5/9ieIXzuKgNy7luQ0f\nJD3u9dJ57QGijpbWr6M5mrz/zq7i0pNnwkkkziRZROFwmGXLlrFq1SrWrl3L4sWLqaio2Kk9tLS0\nEI3G/xxJKamsrGTZsmVUVlZ22fx6sKmpqYkLEEEscLRlyxZyc3OTTpHLz8/v8VS2nVW+JZg0I8iy\nJNWViQFDiAXzjj6pgJ4mAjmcgrMuGMZbC45TASJFURRFURQljsokGkAj0hy8f+YQIpZEE6ieOX0k\nYCa/QdUEBJOU9yl7ni2BavZ//Uc0RluxpM3mQBUXf3Y7q5tKuWG70fJuPXnDZSEEhhhcY78vHX0K\n82uW02rGBwfSnP6E0jgpJatXr07IhCkvL8fn85GS0rueS42NjZ0GgUKhEGVlZdTX1zN27Njdolyp\noaEh6esRQhCNRhk3bhxbtmyhpaUFh8NBfn5+r6fI9cYRx+Xz0lMbaW2Jn4QpJRx8eM7W/5d89G4F\nTz+8jkCLSU1ViMUL63u0fkGRh8/XnIzLNbi+1xVFURRFUZTBQQWJdgGnPvhvpHYn54zxs+bLeoLb\nJYd4DcH4TNWTaHdXG2rkkTVv8FXdKvbPGMUlo08m2x2f/XDHt8/QbAax5Lab/4AV4o9Ln+Dn484i\npcNo+x+Pnskdy/5DyNo20cshdI7K259bl/ybz6qXsl/6KK7Y5wzGphX3/wvsIBqNUl9fj2VZpKSk\ncHbJkbxdNp9nN8xFInEIA13T+O+R/4sm4jNbgsFgQsYPxLJkqqqqeh0k6q5czbZtgsEgjY2NpKcP\n/qwUw+j8rz3DMHC73YwcOXIAdxTv+FmFjBmfyndLGwlt/aXm9emcfNZQxoyLNa6+5bpFPP7AGgKt\nOzbFrK3/kAoQKYqiKIqiKJ1RjauV3V5r1Gb6c2WsbYzSGpU4tViW1isn53FsyeAeua10bU1TKVPf\nvJygFSZohfHoLty6ky9OeoAxqdv6TU167WKW1K9NOD/V4eOdY+5kas749sdCZpjTPryBTyoXI4SG\nAHJc6WwOVMWVobk0B/896k8cN2Tnpoj1VFNTE2vXrkVKiZQSTdNIS0tj+PDhLG/cwIcV35DtSmPW\n0EPxGK6E85ubm1m9enXCdC4Av9/P2LFje7WvUCjE8uXLk67bUU5ODsXFAxtU642WlhZWr16dkE3k\ndDrZd999B0U2VChk8fgDa3jxyQ24PToXXDaKM84rQdMEG9Y2M2PfOYRDO1bi53JrFA/388YXx5KS\nqoLniqIoiqIoexvVuFrZa/gcGgvOKeSF1a28uynA0BSDSyakUKJuhHZ7V3x5Nw2RZmxiAYqgFSZk\nRfjJF3fy/nF3tx83zJefNEgUsaMM8WZh2iY3LXqE+1a+THM0wOTMUdw/9ZcgYKg3l1M++HVCn6Kw\nHeXCT2+j7H9eScja6Wu2bbNu3bqEPjmNjY00NDQwIWM4E9KHd7mGruudBnJ2JsPH7XZTWFhIaWlp\np8cIIQZsPPzO8vv9DBkyhC1btrQHhAzDYPTo0YMiQATgduvMvmoss69KDOx9/F4l5g6OuR8zPoWr\nfjeBmWcOTTodTVEURVEURVHaqCCRskdw6oLz9vFz3j7+Xb0VpQ99UP51e4CojUTyUeUipJTtN/W/\n2vc83itfSMDa1o/HqTk4Im8yQ315XPzZn3huwwftz39Tt5qfzr+LL2f+k7XNWwh2KD3rqDbczLrm\nMkal9u8Ur+1HzLdpG9WekZFBc3MzpaWlhEIhnE4nQ4YMISMjo/3YTZs2JV1b13Wys7N7vbfm5mbK\nysq6PEYIQVZWVq+vMdDy8vLIzs6mpaUFwzDwer2DJkDUFdO0eempDUmnnyVjOAQzzyzigWcO6eed\nKYqiKIqiKHsKNd1MUZRBy6knj2M7NUfcTf0huRN5ePqvyXKl4jPcuDQHJxZO5bnDb6Y61MB/1r8f\nF0ACCNkRbl/6JBXBuk6vb0s7rp9Rf4lGo11OCGsrJQsEAti2TSgUYv369dTU1ABgWRaBQPLJbEKI\nbvsKdUZKyfr16zvdm6ZpGIbByJEjcTqTNwQfrHRdJy0tDZ/PNygDRFJKli2u58vPqgmFLCrLg1x4\nyscsmFfT4zVOOr2Iux89uB93qSiKoiiKouxpVCaRoiiD1oUjjueRNXMI29syfVyag/OHH5tw7DnD\nj+askiPY0FJBpiuVTFcqAPOrl+PSHYTs+GwhW9osrl/LbyZegKHpRP+/vTuPj7Os9z7+/d2zZLIn\nTZekTdN9g1bhUMCK+rBaEBQF1CooiICcI254PEfkeFxROCoqKg8gLuiDpyqyiaIsB+SolL2sTRda\nuqakTZM0y0wyM/f1/JFpbJtJ0zSd3JPk8+bFi8x1z/JLuZpJvrmu3+Wn+jznvPI6TSrM7clW8Xhc\nGzduzHrN8zyNHz9eW7Zs6bPSyDmnrVu35nQFT1dXl9Lp7M2RI5GIZs+ercLCwrwMWUayV9fs1gVn\nPqbGhoS8kNTdlZbzTcnkwfchOvr4Kt38a1YQAQAAYHBYSQQgb33rmH/RcePnqzgUU0m4UMXhmI6p\nmqfrj70i6/3DXlizy2p7AyJJmlU6WV3pvqd+hczT0ePm6oiK6XrvtBMVtn1X28S8qP586rcP7yeU\nxebNm/tdqVNeXq6KigolEoms11OplHzfVygUUlFR3xVPZjak49s9z+u3z9FI2qY1kqTTvs47+RFt\nfLVdnR0pte9OqbvLDSogKiwK6V8+Nz+HVQIAAGC0YiURgLxVHCnUY6f/UM82rdYrrRs1v6xOi8cP\n7off8bEKfWjm23X7hgf32XIWC0V11aLzJUm/fMt/6NSaxbph1R1q7m7TWbVv1nX/dLmKI4WH9fPJ\npr29vd9rJSUl2r59u0KhUNYgKRQKyfN6sv7p06dr9erV8n1fvu/3bjNrampSY2OjYrGY6urqVFpa\netC1RaNRFRYW9tnKtmeFEw6/x/+yQ+27kzrUg0fNkz54yUydeU5u+2gBAABgdLKBjjUeTosXL3ZP\nP/100GUAGGXSflrXvPgL3VD/O7V0t+vYqgW64bhP6tjxC4IuTc8//7xSqb5b3aSelUB7GnTv/7Xa\n8zxVV1erpqamd8z3fTU3N6urq0vxeFytra37PM7MNG/ePBUXFx90fV1dXVqzZk1vjc45VVZWavr0\n6awiyoHf/3aTrvzok2pvyz4nDqS8MqL7Hj9Vs+eV56AyAAAAjGRm9oxzbvGA9yMkAoDgNDQ0qKGh\nod9tXXvbs/3L8zxNmjRJ1dXVWYMa3/e1cuXKrM9ZVlamOXPmDKpG55za2tqUTCZVXFysWCw2qMfj\n4G3fFtebZv1eXYmBt5eZSbPnl6kg5um9H56hSz81l+AOAAAAWR1sSMR2MwAIUHV1tbq7u9XU1CTP\n8+T7fr+BUSwW09y5c+V53gHDgO7u7qyrj6SeRtmDZWYqKysb8H7xeFzbtm1TR0eHotGoampqVF7O\nqpbBqJ5cqEs/PU83/tcqHeDAO0k9IdH7LpyuK/79iOEpDgAAAKMeIREABMjMNG3aNE2ePFmJREK+\n72v9+vVZexAd7HH20Wi036CpsDA3fZbi8bjq6+t7604mk1q/fr2mTp1K/6L91L/Uor8/2qiKcVGd\nfnatmnd16am/7VTVhAIde8J4XfjPs/Tonxr00sqWAz6P70vtu/s2ZQcAAAAOFSERAOSBSCSiSCQi\n51zWRtWe56myslKbN2/Wzp075fu+SktLNXXq1D7Bj+d5mjhxohobG/cJizzP0+TJk3NS/9atW/vU\n7Pu+tmzZoqqqKrZBqWfb3mc++qTuWb5JzjmFw54+c/GTcr5TQSyk7i5f3d2+QmHJZApHTKlk/9sQ\nC2KeTjlzyjB+BgAAABjtvKALADC2/eLVP2n2nctUdPtpOv4PH9Njr68MuqRAmZlmzpwpz/N6Ty7z\nPE8lJSVqbW3Vjh07esOYtrY2rV69Wslk39UkU6ZMUU1NTe/Ko1gsplmzZg2qafVgdHR0ZB33fT9r\nfWPRfXds1u9/s0mJeFpdCV8d7Sl1d/lKJp3a21Lq7u75/5pOSamUUyrpFA73hEX7C0dMZ547VYuX\nVA33pwEAAIBRjJVEAAJzw6o7dNWzt6gznZAkPdm0Sqc/9Dk9eNr1OmHiooCrC05JSYkWLVqk5uZm\npVIplZSUKBQKqb6+vs82Mt/31djYqClT9l1Rkkql1NHR0RsohcNhRaPRnNUciUT6PaUtHOat5vWG\nuK774ovq7EgP6nHmSV/4xhsVjXla88puPbeiSeMnxfSRj8/RKe+oYYUWAAAADiu+cwcQiJSf0pdW\n/rQ3INojnu7S1c/dokeX/iCgyvJDOBzWhAkTem83NzdnbUbtnFNnZ2efsdWrV6urq6t3rL29XfX1\n9Vq0aNFB9TUarJqaGr322mv7bDkzM1VVVfWuiBqrfv/bTfr4BSuU7B74xLL9pVJOyy6eqYrK3AV8\nAAAAwB5j+zt3AIHZ2dWqhN+d9dqLzRuGuZr8F4vFsjajNjMVFRXtM7bnuPr9OefU1NSUk/oqKys1\nZcoUhUKh3tPXqqqqNHXq1Jy8Xj7avi2uT164QkeMv1PHTL1H37vmZe3ckdAnPnRoAZEkRaOeyisi\nh7lSAAAAIDtWEgEIxLhomUKWPaeeWZqb5sojWWFhoUpKStTe3r5PWGRmmjhx4j73TSQSWQMl3/eV\nSCT6jB8uEydO1Pjx45VMJhUOhw/LiiXnXO/z5fOKpNaWbi095s9q2tmldMqpWdL3r3lFf75nq9J+\n/82nB7Ls4plsKQMAAMCwISQCEIhoKKLPLHifrn/lN/tsOSsKFeirR10cYGX5a/bs2dqyZYuamprk\n+75KSkpUV1enSCQi3/fV1tYm3/cVjUazbk3zPK/PqqPDzfM8FRQU9N52zikej0vqCboGE3i8/vrr\namhokO/7MjNNmDBBU6ZMycvQZPlP16ttd1Lp1D/+zBPxtF5e2Sz/EEMiM+nTVx9xuEoEAAAABkRI\nBCAwXznqYkW9iL79ynJ1pOKqKazStxd/XGdMeVPQpeWNtrY2NTY2Kp1Oq6KiQrW1taqrq5Nzrjcs\naW9v17p163pDoT1BUTKZ3CcoCoVCGjdu3LDV3t7ervXr1yudTve+/sGesNbU1KRt27b19jhyzqmx\nsVFm1qdJdz544q87FO/s25Q6WuApHvclDT4omntEmaon5zbUAwAAAPaWv2v3AYx6nnn64hsvVPOy\nP6jtA3/WpnPv0Punnxx0WXmjoaFB69atU0tLi9ra2rRlyxbV19f3rqyRegKhtWvXKp1Oy/f93lCl\nu7tbFRUVvT2Cxo0bpwULFgzblq1UKqW1a9cqmUz21pVMJrVmzZre0OhA9qwg2tueoCjbVrrh5pxT\nV1e6t5a5R5QrGu37Z+tkuvzKuVmfI3yAVkOxwpBu/s0Jh6VWAAAA4GAREgEInGeeCsMFebmNKCip\nVKpPUNITTHRp165dvWO7d+/u9znC4bCOOuooHX300ZoxY4YikeFrgNzc3NxvmNPc3Dzg47M13pZ6\n/gz2D4+G2x2/3KCja+/RzKLf6sgJd+nWG1brQx+bpch+IVEkYpo5p0QvP9+S9XlSWT5FM+ms86bq\n5R3v0bwjynNRPpB31q9t0203rdPdyzeqsyMVdDkAAIxpbDcDgDzU3t6eta+Q7/tqaWnR+PHjJemA\nq3KCDFO6u7v7bZ6dSg38Q2BhYaE6Ojr6jAfdwPr3v92kf7v86d6tZc1N3frGVS/IOem3D5+kz1z8\nhNavaZNkOvmMGl31zTfopIX39/t8Zj1b0pLdvgpiIb37A9P0nR8fS2CKMcE5py9d+Zx+edOrMpO8\nkMm8p/Sr+0/UsW8eH3R5AACMSYREADBEzjnt3r1b8XhcsVhM5eXlQ/4h/0Ang4XD//jSXVZWljWM\n8TxPFRUVQ6phKEpLS9XY2NgnqPI8TyUlJQM+vra2VmvXrt3n8Z7nqba2NtAA5bovvtin91C8M63v\nfu1lvbzjPXr0pXfo5RdadOv3V+uZx3fqXz74dx1od5x5pk98foG8kKeTz6jRG48Zvp5RQND+508N\nuv3HryqR2Pfv1IXvekwvbH+3wmEWvAMAMNwIiQBgCFKplOrr63t773iep1AopPLy8t5G0YdyolhJ\nSYlCoVDWkGXChAm9tyORiCZPnqxt27b1hkV7gpjy8uC2K5WWlqq4uFgdHR29n4Pneb3jAykpKdHc\nuXO1detWxeNxFRQUqKamJtDPSZK2bOy7ukmSWluS6urytfHVdr1ryYPq6krrIFovyflO514wXdNn\nlR7mSoH896tb16uzo+9flGTS15N/3aE3nzgpgKoAABjbCIkAYAg2b96srq6u3tt7mjTv3LlTktTY\n2Kjq6mpNnjx5UM9rZpo7d67Wrl3buz3LOafa2to+IUt1dbVKS0u1Y8cO+b6vyspKVVRUBLrixsw0\nZ84c7dixQ01NTTIzjR8/XlVVVQddV3FxsebOzd70OSgz55Zq1QutfcbHTyjQn+7eoisuWKF0+uAb\na4cjpmkzB15ZBYxG3V3Zt8SaTN3dwfYeAwBgrCIkAoAhGKgJs3NO27dv17hx4xSLxQa3Pvt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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa43c17e7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster number  0  count: 7\n",
      "      count_from  sum_value_from   count_to  sum_value_to  cluster_number\n",
      "mean   36.806426        2.904865  32.256102  7.259493e-14             0.0\n",
      "std    80.529619        7.663429  81.906352  9.635110e-14             0.0\n",
      "75%    16.500000        0.025042   1.831249  1.500005e-13             0.0 \n",
      "\n",
      "Cluster number  1  count: 110\n",
      "       count_from  sum_value_from    count_to  sum_value_to  cluster_number\n",
      "mean   402.347571        0.000048   37.628519     12.941421             1.0\n",
      "std   2550.967982        0.000010  344.194476     69.445136             0.0\n",
      "75%      9.190431        0.000048    3.814046      1.073896             1.0 \n",
      "\n",
      "Cluster number  2  count: 144\n",
      "       count_from  sum_value_from     count_to  sum_value_to  cluster_number\n",
      "mean   501.990943     8177.952013   571.079494   8287.386175             2.0\n",
      "std   2829.101506    28737.276716  3148.092540  29117.674539             0.0\n",
      "75%     20.486224     3009.239733    35.110359   3006.701657             2.0 \n",
      "\n",
      "Cluster number  3  count: 255\n",
      "      count_from  sum_value_from    count_to  sum_value_to  cluster_number\n",
      "mean   23.704158        2.437167   43.064184      9.159001             3.0\n",
      "std   129.883671        1.794049  525.145756     59.549323             0.0\n",
      "75%     9.363360        3.561211   10.919959      4.175620             3.0 \n",
      "\n",
      "Cluster number  4  count: 5\n",
      "      count_from  sum_value_from  count_to  sum_value_to  cluster_number\n",
      "mean  168.400000    4.617322e-14  2.048528      1.278431             4.0\n",
      "std   358.187521    1.027618e-13  1.324544      1.840804             0.0\n",
      "75%    20.000000    8.360921e-16  2.000000      2.100000             4.0 \n",
      "\n",
      "Cluster number  5  count: 276\n",
      "        count_from  sum_value_from    count_to  sum_value_to  cluster_number\n",
      "mean   1137.328325     2897.648631   47.310877     57.089532             5.0\n",
      "std   14509.915574    29512.369521  356.863322    153.027017             0.0\n",
      "75%      24.157206       83.924685   11.823097     68.482436             5.0 \n",
      "\n",
      "Cluster number  6  count: 157\n",
      "      count_from  sum_value_from  count_to  sum_value_to  cluster_number\n",
      "mean    7.498718       60.830386  2.257281      0.143195             6.0\n",
      "std    14.915117      671.040491  1.834183      0.151428             0.0\n",
      "75%     5.926548        0.554069  3.000000      0.202752             6.0 \n",
      "\n",
      "Cluster number  7  count: 46\n",
      "      count_from  sum_value_from    count_to  sum_value_to  cluster_number\n",
      "mean    1.829957        0.039043   34.134289    274.907615             7.0\n",
      "std     1.861558        0.041201  164.436115    993.806616             0.0\n",
      "75%     2.062988        0.055529    6.081362     28.191615             7.0 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "model_PCA = PCA(n_components=2)\n",
    "model_PCA.fit(cluster_centers_df)\n",
    "result = model_PCA.transform(cluster_centers_df)\n",
    "\n",
    "\n",
    "linkage = 'ward'\n",
    "knn_graph = kneighbors_graph(result, 30, include_self=False)\n",
    "connectivity = knn_graph\n",
    "n_clusters = 8\n",
    "\n",
    "model = AgglomerativeClustering(linkage=linkage,\n",
    "                                connectivity=connectivity,\n",
    "                                n_clusters=n_clusters)\n",
    "model.fit(cluster_centers_df)\n",
    "plt.scatter(result[:, 0], \n",
    "            result[:, 1], \n",
    "            c=model.labels_,\n",
    "            cmap=plt.cm.spectral)\n",
    "plt.show()\n",
    "\n",
    "cluster_centers_df_exp.loc[:,'cluster_number'] = model.labels_\n",
    "\n",
    "for i in range(n_clusters):\n",
    "    print('Cluster number ',i,' count:',len(cluster_centers_df_exp[cluster_centers_df_exp['cluster_number']==i]))\n",
    "    print(cluster_centers_df_exp[cluster_centers_df_exp['cluster_number']==i].describe().loc[['mean','std', '75%'],:],'\\n')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculation of boarder for simple clussification desision tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Percentiles count txn by addresses 50% and 95%:  [4.0, 20.0] \n",
      "\n",
      "Percentiles sum value by addresses 50% and 95%:  [5.98874, 6001.9986769999996] \n",
      "\n",
      "Percentiles value_percentiles_by_count by addresses 50% and 95%:  [[1.997200665, 79.031029633499514], [2001.9977949999998, 6001.99874], [22.303429900385105, 6001.9985806968116]] \n",
      "\n",
      "Percentiles value_percentiles_by_count_and_sum_value by addresses 50% and 95%:  [[0.0, 1.0], [0.0, 0.0], [0.0, 0.8333333333333334], [0.0, 0.0], [0.0, 0.9090909090909091], [0.0, 0.8769230769230769]]\n"
     ]
    }
   ],
   "source": [
    "count_percentiles = [np.percentile(data['count_from']+data['count_to'],50),\n",
    "                     np.percentile(data['count_from']+data['count_to'],95)]\n",
    "value_percentiles = [np.percentile(data['sum_value_from']+data['sum_value_to'],50),\n",
    "                     np.percentile(data['sum_value_from']+data['sum_value_to'],95)]\n",
    "value_percentiles_by_count = []\n",
    "value_percentiles_by_count_and_sum_value = []\n",
    "\n",
    "for i in range(len(value_percentiles)+1):\n",
    "    if i == 0: \n",
    "        data_temp_sum_value = data[data['count_from'] + data['count_to'] <= count_percentiles[i]]\n",
    "    if i > 0 and i < len(value_percentiles):\n",
    "        data_temp_sum_value = data[(data['count_from'] + data['count_to'] > count_percentiles[i-1]) & (data['count_from'] + data['count_to'] <= count_percentiles[i])]\n",
    "    if i == len(value_percentiles):\n",
    "        data_temp_sum_value = data[data['count_from'] + data['count_to'] > count_percentiles[i-1]]\n",
    "\n",
    "    value_percentiles_by_count.append([np.percentile(data_temp_sum_value['sum_value_from']+data_temp_sum_value['sum_value_to'], 50),\n",
    "                                       np.percentile(data_temp_sum_value['sum_value_from']+data_temp_sum_value['sum_value_to'], 95)])\n",
    "    for j in range(len(value_percentiles_by_count[-1])):\n",
    "        if j == 0: \n",
    "            data_temp = data_temp_sum_value[data_temp_sum_value['sum_value_from'] + data_temp_sum_value['sum_value_to'] <= value_percentiles_by_count[-1][j]]\n",
    "        if j > 0 and j < len(value_percentiles):\n",
    "            data_temp = data_temp_sum_value[(data_temp_sum_value['sum_value_from'] + data_temp_sum_value['sum_value_to'] > value_percentiles_by_count[-1][j-1]) & (data_temp_sum_value['sum_value_from'] + data_temp_sum_value['sum_value_to'] <= value_percentiles_by_count[-1][j])]\n",
    "        if j == len(value_percentiles):\n",
    "            data_temp = data_temp_sum_value[data_temp_sum_value['sum_value_from'] + data_temp_sum_value['sum_value_to'] > count_percentiles[j-1]]\n",
    "        value_percentiles_by_count_and_sum_value.append(\n",
    "            [(data_temp['percent_count_value_zero_from']+data_temp['percent_count_value_zero_to']).quantile(.5),\n",
    "             (data_temp['percent_count_value_zero_from']+data_temp['percent_count_value_zero_to']).quantile(.95)])\n",
    "\n",
    "print('Percentiles count txn by addresses 50% and 95%: ', count_percentiles, '\\n')\n",
    "print('Percentiles sum value by addresses 50% and 95%: ', value_percentiles, '\\n')    \n",
    "print('Percentiles value_percentiles_by_count by addresses 50% and 95%: ', value_percentiles_by_count, '\\n')\n",
    "print('Percentiles value_percentiles_by_count_and_sum_value by addresses 50% and 95%: ', value_percentiles_by_count_and_sum_value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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