6.5 - Gozetimsiz Ogrenme.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d92ac35e-f24f-4823-b95c-5614ad6f153e",
   "metadata": {},
   "source": [
    "9. [**Gözetimsiz Öğrenme**](#9.-Gözetimsiz-Öğrenme)\n",
    "    * [a. K-Means](#a.-K-Means)\n",
    "        * [KMeans - Model Oluşturma](#KMeans---Model-Oluşturma)\n",
    "        * [KMeans - Model Tuning](#KMeans---Model-Tuning)\n",
    "    * [b. Hierarchical Clustering](#b.-Hierarchical-Clustering)\n",
    "        * [HC - Model Oluşturma](#HC---Model-Oluşturma)\n",
    "        * [HC - Model Tuning](#HC---Model-Tuning)\n",
    "    * [c. Principal Component Analysis(PCA) - Temel Bileşen Analizi](#c.-Principal-Component-Analysis(PCA)---Temel-Bileşen-Analizi)\n",
    "        * [PCA - Model Oluşturma](#PCA---Model-Oluşturma)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16aa1074-8920-4431-8dff-aba16b26b2a7",
   "metadata": {},
   "source": [
    "# **9. Gözetimsiz Öğrenme**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2ec38e5-f531-4064-9993-b1310b8cf503",
   "metadata": {},
   "source": [
    "Makine Öğrenmesi modellerinde bağımlı değişkenin elimizde olmadığı durumlarda gözlem birimlerinin bir şekilde anlamlı bir hale getirme çabası olarak nitelendirebileceğimiz gözetimsiz öğrenme modellerine burada değineceğiz. İnceleyeceğimiz modeller ise;\n",
    "* K-Means\n",
    "* Hiyerarşik Kümeleme Analizi - Hierarchical Clustering\n",
    "* Temel Bileşen Analizi - Principal Component Analysis (PCA)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb016921-a4c0-44a8-9978-fd20a9478d52",
   "metadata": {},
   "source": [
    "## **a. K-Means**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "916a870a-12ff-4c37-ad4d-c3457f40f54b",
   "metadata": {},
   "source": [
    "Amaç gözlemleri birbirlerine olan benzerliklerine göre kümelere ayırmaktır. Bu aslında clustering yöntemlerinin bir amacıdır. Clustering yöntemlerinde benzerlik matrixleri veya çeşitli uzaklık metrikleri kullanılarak gözlemler veya değişkenler kümelendirilmeye çalışılmaktadır. **Oluşturulmaya çalışan kümelerin kendi içinde homojen, birbirlerine göre ise heterojen olması amaçlanır.** Clustering yöntemleri *hiyerarşik ve hiyerarşik olmayan* yöntemler olarak ikiye ayrılmaktadır. K-Means yöntemi de hiyerarşik olmayan bir clustering yöntemidir.\n",
    "* K-Means yönteminin gerçek hayattaki yönüyle  hangi iş problemlerinin çözümlerinde kullanıldığına değinirsek, *genelde elimizdeki gözlem birimlerini segmente etmek istediğimizde kulanılır. Somut örnek verecek olursak;\n",
    "    * Müşteri Segmentasyonu\n",
    "    * Suç Yerlerinin Belirlenmesi\n",
    "    * Oyuncu Analizi\n",
    "    * Dolandırıcılığın Tespit Edilmesi gibi alanlarda yararlanılmaktadır.\n",
    "* **K-Means Adımları:**\n",
    "    1. Küme sayısı belirlenir.\n",
    "    2. Rastgele k merkez seçilir.\n",
    "    3. Her gözlem için k merkezlere uzaklıklar hesaplanır ve gözlemler kendisine en yakın k merkezine atanır.\n",
    "    4. Her gözlem en yakın olduğu merkeze yani kümeye atanır.\n",
    "    5. Atama işlemlerinden sonra oluşan kümeler için tekrar merkez hesaplamaları yapılır.\n",
    "    6. Bu işlem belirlenen bir iterasyon adedince tekrar edilir ve kümeiçi hata kareler toplamlarının toplamının (*Total Within-Cluster Variation*) minimum olduğu durumdaki gözlemlerin kümelenme yapısı nihai kümelenme olarak seçilir.\n",
    "* Burada gözlemler kümeleme işlemi bitinceye kadar farklı kümelere girip çıkabilmektedir.\n",
    "![image.gif](https://miro.medium.com/max/480/1*4mMckJCPtQNUy7hm8gCLkg.gif)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "252db549-ad88-443c-827e-9d2df05f60ce",
   "metadata": {},
   "source": [
    "Buradaki yeni verisetimizde Amerika'daki eyaletlerin suç oranları bulunmaktadır. Bizden istenen bu suç oranlarına göre eyaletleri segmente etmemizdir."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "66cc4c20-54c3-47f8-a437-b3e3e1f699c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy as sp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c85b9f7a-a2f0-4748-881e-6d71dce70af3",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"csv/USArrests.csv\")\n",
    "df.index = df.iloc[:,0]\n",
    "df = df.iloc[:,1:]\n",
    "df.index.name = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7736aa19-7d91-475b-beb9-069764cd1cb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Murder      0\n",
       "Assault     0\n",
       "UrbanPop    0\n",
       "Rape        0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Eksik gozlemler\n",
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ca99c67b-6582-4e35-8e97-8724f8dbd465",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Index: 50 entries, Alabama to Wyoming\n",
      "Data columns (total 4 columns):\n",
      " #   Column    Non-Null Count  Dtype  \n",
      "---  ------    --------------  -----  \n",
      " 0   Murder    50 non-null     float64\n",
      " 1   Assault   50 non-null     int64  \n",
      " 2   UrbanPop  50 non-null     int64  \n",
      " 3   Rape      50 non-null     float64\n",
      "dtypes: float64(2), int64(2)\n",
      "memory usage: 2.0+ KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "47259aa4-cbe9-4907-97e6-cf88eca04f77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Murder</th>\n",
       "      <td>50.0</td>\n",
       "      <td>7.788</td>\n",
       "      <td>4.355510</td>\n",
       "      <td>0.8</td>\n",
       "      <td>4.075</td>\n",
       "      <td>7.25</td>\n",
       "      <td>11.250</td>\n",
       "      <td>17.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Assault</th>\n",
       "      <td>50.0</td>\n",
       "      <td>170.760</td>\n",
       "      <td>83.337661</td>\n",
       "      <td>45.0</td>\n",
       "      <td>109.000</td>\n",
       "      <td>159.00</td>\n",
       "      <td>249.000</td>\n",
       "      <td>337.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>UrbanPop</th>\n",
       "      <td>50.0</td>\n",
       "      <td>65.540</td>\n",
       "      <td>14.474763</td>\n",
       "      <td>32.0</td>\n",
       "      <td>54.500</td>\n",
       "      <td>66.00</td>\n",
       "      <td>77.750</td>\n",
       "      <td>91.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rape</th>\n",
       "      <td>50.0</td>\n",
       "      <td>21.232</td>\n",
       "      <td>9.366385</td>\n",
       "      <td>7.3</td>\n",
       "      <td>15.075</td>\n",
       "      <td>20.10</td>\n",
       "      <td>26.175</td>\n",
       "      <td>46.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          count     mean        std   min      25%     50%      75%    max\n",
       "Murder     50.0    7.788   4.355510   0.8    4.075    7.25   11.250   17.4\n",
       "Assault    50.0  170.760  83.337661  45.0  109.000  159.00  249.000  337.0\n",
       "UrbanPop   50.0   65.540  14.474763  32.0   54.500   66.00   77.750   91.0\n",
       "Rape       50.0   21.232   9.366385   7.3   15.075   20.10   26.175   46.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe().T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0c65283a-9807-4f86-b167-a7fc83a24aad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<AxesSubplot:title={'center':'Murder'}>,\n",
       "        <AxesSubplot:title={'center':'Assault'}>],\n",
       "       [<AxesSubplot:title={'center':'UrbanPop'}>,\n",
       "        <AxesSubplot:title={'center':'Rape'}>]], dtype=object)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAJPCAYAAAC3lzo2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAxU0lEQVR4nO3dfZSkdX3n/fc3DMjAwAAytjgQRxcyK6EjQh+CT2wjGhVcMa4xuKiMq5nb3fh4JhvHdRXN2d2QXTG43Lk3O/ExgYAjIcHDGAO30tmYDSQMDA4wzII6AsPwFMJgEyKMfPePulpqyu7pql/XVXV19/t1Tp+puuqqqz71q6pffeaqp8hMJEmS1LufGXYASZKk+coiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgipb6KiIyIY4edQ5KGKSImIuI9w86h+lmkFomI2BERT0bEkR3Lt1TlZ9WQoklSX1Ul5h8i4lnDzgIQEWsi4tvDzqF6WKQWl+8Db5s6EhGjwNKSDUXEkn6FqmN7khan6j+FrwQSeONw02gxsEgtLn8EvLPt+HnAH04d6dwV3fm/qGrP1a9HxJ3AndWyfx8RuyLivoj4N+0XFhHPiohPR8TdEfFARPx+RCytThuPiHsj4iMRcT/wxVqusaTF5p3A9cCXaM1xAETEmRFxe0T8MCJ2RsRvVMuPjIirI+LRiHgkIv4qIn6mOm19RHy3Os/tEfHLbdv7ZERc0nZ8VTVH7vWfwoh4EfD7wEsjYjIiHq3xumsILFKLy/XAoRHxoojYD/hV4JJZztPpTcAvAsdHxOuA3wBeAxwHvLpj3d8Bfg44ETgWWAl8ou305wJHAM8H1vaYQ5Km807g0urvtRExUi3/PPD/ZOYhwAnAt6rl64B7gRXACPAfaO3NAvgurb1by4FPAZdExFG9hMnMbcB7gb/JzGWZeVjh9VJDWaQWn6m9Uq8B7gB29nj+387MRzLzCeCtwBcz89bMfBz45NRKERHArwEfrtb/IfBfgHPatvU0cH5m/qjaniQVi4hX0PqP2cbM3EyrCP3r6uSnaP0H8NDM/IfMvKlt+VHA8zPzqcz8q6x+hDYzv5qZ92Xm05n5FVp74k8Z6JVS41mkFp8/ojWxrKHtZb0e3NN2+Hkdx3/QdngFcBCwudpl/ijwjWr5lIcy858KMkjSdM4DrsnMh6vjf8wzL+/9K+BM4AcR8ZcR8dJq+X8D7gKuiYjvRcT6qY1FxDurD+RMzWEnAHt9YEfyDb6LTGb+ICK+T2tCeXfHyY/TKj9TnjvdJtoO7wKOaTv+s22HHwaeAH4+M2fa65UzLJeknlTvv3wrsF/1vkuAZwGHRcSLM/PvgLMjYn/gfcBG4Jhqb/k6YF1E/DxwXUT8Ha1y9QfAGbRelvtxRGwBotp2N/PlFOe6Bcw9UovTu4FXVS/HtdsCvDkiDqq+C6qzaHXaCKyJiOMj4iDg/KkTMvNpWpPQ70bEcwAiYmVEvLZfV0KS2rwJ+DFwPK33ZZ4IvAj4K1rz1LkRsTwznwIeq9YlIt4QEcdWb0eYWv5j4GBaBeihar130dojNWULcFpE/GxELAc+uo9sDwBHR8QBfbmmahSL1CKUmd/NzBunOel3gSdpPei/TOvNmvvazp8DF9F60+ZdPPPmzSkfqZZfHxGPAf8/sHpO4SVpeufRes/m3Zl5/9Qf8P9Wp70L2FHNRe8F3l6d7zhac9Mk8DfA/5eZE5l5O3BhtewBYBT466kLy8xrga8A3wE2A1fvI9u3gNuA+yPi4X2sp3koqvfUSZIkqUfukZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpUyxdyHnbYYXnsscfWsemuPf744xx88MGLPkNTcphh/mXYvHnzw5m5YtYVF7EjjzwyV61aVXTeJtwXptPEXE3MBObqVRNzTWWa03yXmX3/+7mf+7kctuuuu27YERqRIbMZOcww/zIAN2YN88NC+jv55JO7GsvpNOG+MJ0m5mpipkxz9aqJuaYyzWW+86U9SZKkQhYpSZKkQhYpSZKkQhYpSZKkQhYpSZKkQhYpSZKkQhYpSZKkQhYpSZKkQhYpSZKkQrX8RIx6t2r9plq2u+OCs2rZrqSFzTlJ6o57pCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgp1VaQi4sMRcVtE3BoRl0XEgXUHk6RBc66T1KtZi1RErAQ+AIxl5gnAfsA5dQeTpEFyrpNUotuX9pYASyNiCXAQcF99kSRpaJzrJPVk1iKVmTuBTwN3A7uA3Zl5Td3BJGmQnOsklYjM3PcKEYcDfwL8KvAo8FXgisy8pGO9tcBagBUrVpy8cePGOvJ27cFHdvPAE/3f7ujK5V2vOzk5ybJly7pad+vO3aWR9ml05fKectTFDPMvw+mnn745M8cGEKkRSua6kZGRky+//PKiy2vCfWE6U7nqnJN61fSxahpzdW8q01zmuyVdrPNq4PuZ+RBARFwJvAzYa3LJzA3ABoDVq1fn+Ph4SZ6+ufjSq7hwazdXrzc7zh3vet2JiQm6HYc16zeVBZrFjnPHe8pRFzOYYR7oea4bGxsrnuuaejtM5apzTupV08eqaczVvX5k6uY9UncDp0bEQRERwBnAtjldqiQ1j3OdpJ518x6pG4ArgJuArdV5NtScS5IGyrlOUomuXvvKzPOB82vOIklD5VwnqVd+s7kkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVIhi5QkSVKhJcMOIEmLwar1m/Y6vm50D2s6lpXYccFZc97GIHWOQze6Gav5Ng5aONwjJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVMgiJUmSVKirIhURh0XEFRFxR0Rsi4iX1h1MkgbNuU5Sr5Z0ud5ngW9k5lsi4gDgoBozSdKwONdJ6smsRSoiDgVOA9YAZOaTwJP1xpKkwXKuk1Sim5f2Xgg8BHwxIm6OiM9FxME155KkQXOuk9SzyMx9rxAxBlwPvDwzb4iIzwKPZebHO9ZbC6wFWLFixckbN26sKXJ3HnxkNw880f/tjq5c3vW6k5OTLFu2rKt1t+7cXRppViNL6ftY9DIO0NtY1MUMvWU4/fTTN2fm2AAiNULJXDcyMnLy5Zdf3tX2Ox/j/Xpc9vpYnM3U/aPOOalX3YxVv8ehG014PHfaunN3I+b86TRxvKYyzWW+66ZIPRe4PjNXVcdfCazPzLNmOs/q1atz+/btJXn65uJLr+LCrd2+Bax7Oy6Y8Wr/lImJCcbHx7tad9X6TYWJZrdudE/fx6KXcYDexqIuZugtQ0QstiLV81w3NjaWN954Y1fb73yM9+tx2etjcTZT948656RedTNW/R6HbjTh8dxp1fpNjZjzp9PE8ZrKNJf5btaX9jLzfuCeiFhdLToDuL3kwiSpqZzrJJXotrK+H7i0+hTL94B31RdJkobGuU5ST7oqUpm5BVg0u/glLU7OdZJ65TebS5IkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFbJISZIkFVoy7ACr1m+qZbvrRmvZbE95143uYU1N12+hquv+sOOCs2rZriRpcXOPlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUqGui1RE7BcRN0fE1XUGkqRhcq6T1Ite9kh9ENhWVxBJagjnOkld66pIRcTRwFnA5+qNI0nD41wnqVfd7pG6CPhN4On6okjS0F2Ec52kHkRm7nuFiDcAZ2bmv4uIceA3MvMN06y3FlgLsGLFipM3btzYVYCtO3f3GLk7I0vhgSdq2fS8ylBXjtGVy3taf3JykmXLls26Xl33B5hf41CnbjOcfvrpmzNzbACRGqFkrhsZGTn58ssv72r7nfftpswPnZqYa5iZ9vUYn8vjeb7Ndf0wXa5e59B+m7oN5zLfdVOkfht4B7AHOBA4FLgyM98+03lWr16d27dv7yrAqvWbug7bi3Wje7hw65Jatj2fMtSVY8cFZ/W0/sTEBOPj47OuV9f9AebXONSp2wwRsdiKVM9z3djYWN54441dbb/zvt2U+aFTE3MNM9O+HuNzeTzPt7muH6bL1esc2m9Tt+Fc5rtZX9rLzI9m5tGZuQo4B/jWviYWSZqPnOsklfB7pCRJkgr1tO8vMyeAiVqSSFJDONdJ6pZ7pCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgpZpCRJkgotGXYAzU+r1m/qaf11o3tY0+N55oO6xmHHBWeVRpLUR/t6jC/UeU29cY+UJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSoVmLVEQcExHXRcS2iLgtIj44iGCSNEjOdZJKLOlinT3Ausy8KSIOATZHxLWZeXvN2SRpkJzrJPVs1j1SmbkrM2+qDv8Q2AasrDuYJA2Sc52kEj29RyoiVgEvAW6oJY0kNYBznaRuRWZ2t2LEMuAvgf+cmVdOc/paYC3AihUrTt64cWNX2926c3fXYXsxshQeeKKWTc+rDE3JYYZmZBhduZzJyUmWLVs267qnn3765swcG0CsRullrhsZGTn58ssv72q7nXPdsO8LM2liriZmAnP1atC5Rlcun3WdqflwLvNdV0UqIvYHrgb+IjM/M9v6q1evzu3bt3cVYNX6TV2t16t1o3u4cGs3bwGrTxMyNCWHGZqRYccFZzExMcH4+Pis60bEoitSvc51Y2NjeeONN3a17c65btj3hZk0MVcTM4G5ejXoXDsuOGvWdabmw7nMd918ai+AzwPbuplYJGk+cq6TVKKb90i9HHgH8KqI2FL9nVlzLkkaNOc6ST2bdR9bZn4biAFkkaShca6TVMJvNpckSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSrUVZGKiNdFxPaIuCsi1tcdSpKGwblOUq9mLVIRsR/we8DrgeOBt0XE8XUHk6RBcq6TVKKbPVKnAHdl5vcy80ngcuDsemNJ0sA510nqWTdFaiVwT9vxe6tlkrSQONdJ6llk5r5XiPgV4LWZ+Z7q+DuAUzLz/R3rrQXWVkdPAG7tf9yeHAk8bAagGTnMMP8yPD8zV9QdpikK57rVwPbCi2zCfWE6TczVxExgrl41MddUpuL5bkkX69wLHNN2/Gjgvs6VMnMDsAEgIm7MzLGSQP1ihmblMIMZ5oGe57q5aOrt0MRcTcwE5upVE3P1I1M3L+39HXBcRLwgIg4AzgG+NpcLlaQGcq6T1LNZ90hl5p6IeB/wF8B+wBcy87bak0nSADnXSSrRzUt7ZObXga/3sN057/buAzM8owk5zNBihgYrmOvmoqm3QxNzNTETmKtXTcw195fpZ3uzuSRJkqbnT8RIkiQVmlORmu3nFKLlv1enfyciTprL5U2z/WMi4rqI2BYRt0XEB6dZZzwidkfElurvE/3MUF3GjojYWm3/xmlOr3scVrddvy0R8VhEfKhjnVrGISK+EBEPRsStbcuOiIhrI+LO6t/DZzhvX36OY4YM/y0i7qjG+08j4rAZzrvP226OGT4ZETvbxvzMGc5b5zh8pe3yd0TElhnO25dx0PSmG99uHyd9ztHT4zUiPlrdL7dHxGsHnGvGx88gcs30/DLs8dpHrmGP14ER8bcRcUuV61PV8mGP10y5+jdemVn0R+vNmN8FXggcANwCHN+xzpnAnwMBnArcUHp5M2Q4CjipOnwI8H+myTAOXN3Py50mxw7gyH2cXus4THO73E/rOzFqHwfgNOAk4Na2Zf8VWF8dXg/8Tsn9Z44ZfglYUh3+nekydHPbzTHDJ4Hf6OL2qm0cOk6/EPhEnePg34y3zU+NbzePkxpydP14pfUzObcAzwJeUN1P9xtgrmkfP4PKNdPzy7DHax+5hj1eASyrDu8P3EDr+W7Y4zVTrr6N11z2SHXzcwpnA3+YLdcDh0XEUXO4zL1k5q7MvKk6/ENgG838JuJax6HDGcB3M/MHNW1/L5n5v4BHOhafDXy5Ovxl4E3TnLVvP8cxXYbMvCYz91RHr6f1nUC1mWEculHrOEyJiADeClxWsm3VopvHSV/1+Hg9G7g8M3+Umd8H7qJ1fx1UrpkMJNc+nl+GOl4Fz3uDypWZOVkd3b/6S4Y/XjPlmknPueZSpLr5OYWB/eRCRKwCXkKrbXZ6abVb788j4udruPgEromIzdH61uNOg/zpiXOY+cmy7nGYMpKZu6D1oAeeM806gxyTf0Nrj+B0Zrvt5up90Xp58QszvHQzqHF4JfBAZt45w+l1j8NiN934dvM4GYSZcjThJ3Ome/wMPFfH80tjxmua572hjldE7Bettw88CFybmY0YrxlyQZ/Gay5FKqZZ1tnyullnziJiGfAnwIcy87GOk2+i9TLXi4GLgT/r9+UDL8/Mk2j9avyvR8RpnRGnOU8d43AA8Ebgq9OcPIhx6MWgxuRjwB7g0hlWme22m4v/Afwz4ERgF62X1n4q4jTL6vgo7dvY996oOsdB83N8B3XfnMlMj5+B5prl+WWvVadZNshcQx+vzPxxZp5I6xWAUyLihH2sPuxcfRuvuRSpbn5OoaufXJiLiNif1p3p0sy8svP0zHxsardetr4jZv+IOLKfGTLzvurfB4E/5ad3A9Y+DpXXAzdl5gPTZKx9HNo8MPXSZfXvg9OsM4j7xnnAG4Bzs3rxu1MXt12xzHygegA/DfzBDNsexDgsAd4MfGUfWWsbB804vt08TgZhphyDmremtY/Hz8ByzfD8MvTxmi5XE8ZrSmY+CkwAr6MB4zVdrn6O11yKVDc/p/A14J3Rciqwe2oXXz9U7/v4PLAtMz8zwzrPrdYjIk6hdZ3/vo8ZDo6IQ6YO03qTc+cPNtc6Dm1m3OtQ9zh0+BpwXnX4POCqadap9ec4IuJ1wEeAN2bmP86wTje33VwytL8P7pdn2PYgfpbk1cAdmXnvDDlrHYfFbh/j283jZBBmyvE14JyIeFZEvAA4DvjbQYXax+NnILn28fwy1PGaKVcDxmtFVJ+OjoilVPMOwx+vaXP1dbxybu+GP5PWJwa+C3ysWvZe4L35zLvlf686fSswNpfLm+byX0Frl9t3gC3V35kdGd4H3EbrXfjXAy/rc4YXVtu+pbqcgY9DdRkH0SpGy9uW1T4OtIrbLuApWk3+3cCzgW8Cd1b/HlGt+zzg6/u6//Qxw120Xueeul/8fmeGmW67Pmb4o+r2/g6tB+dRgx6HavmXpu4HbevWMg7+TXu7zDRHTPs4qTlL14/Xav2PVffL7cDrB5xr2sfPoHIx8/PLUMdrH7mGPV6/ANxcXf6tVJ8QbsB4zZSrb+PlN5tLkiQV8pvNJUmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkJEmSClmkFrGIGI+Ie4edQ5Kk+coitUBEREbEsR3LPhkRlwwpzycj4qmImIyIRyPif0fES4eRRZIiYkdEPFHNSfdHxJciYtmwc2n+s0gtUhGxZAAX85XMXAasAL4NXBkRMYDLlaTp/MtqTjoReAnw0eHG0UJgkVokpl7Gi4iPRMT9wBfbTvsPEfFw9T+2c9uWnxURN0fEYxFxT0R8su20VdVesPMi4u7q/B+b7rIz8yngy8BzgWdHxPMi4msR8UhE3BURv9a23U9GxBUR8ZWI+GFE3BQRL65hSCQtUpl5P/AXtAoVEbE+Ir5bzTm3R8QvT60bEWsi4q8j4uKI2B0Rd0TEGW2nL4+Iz0fErojYGRH/KSL2G/iV0tBYpBaX5wJHAM8H1rYtOxJYCZwHbIiI1dVpjwPvBA4DzgL+bUS8qWObrwBWA2cAn4iIF3VeaEQ8C1gD3JuZDwOXAfcCzwPeAvyX9okJOBv4apX1j4E/i4j9S6+0JLWLiKOB1wN3VYu+C7wSWA58CrgkIo5qO8svAt+jNVeeT2vv+hHVaV8G9gDH0trL9UvAe+q+DmoOi9Ti8jRwfmb+KDOfaFv+8WrZXwKbgLcCZOZEZm7NzKcz8zu0CtC/6NjmpzLzicy8BbgFaN979NaIeBS4BzgZeFNEHEOrfH0kM/8pM7cAnwPe0Xa+zZl5RbUn6zPAgcCpfRkBSYvZn0XED2nNSQ/SKkVk5lcz875qrvsKcCdwStv5HgQuysynqtO3A2dFxAitQvahzHw8Mx8Efhc4Z4DXSUNmkVo4fgx07rXZH3iq7fhDmflPHev8Q2Y+3nb8B7T2FBERvxgR10XEQxGxG3gvrf+Rtbu/7fA/Au1v3tyYmYdl5nMy81WZubna9iOZ+cOOy1zZdvyeqQOZ+TTP7L2SpLl4U2YeAowD/5xqPouId0bEluqDMY8CJ7D3XLczM7Pt+NQ8+Xxa8+yutvP+T+A5dV8RNYdFauG4G1jVsewFtB7wU5KfdnhEHNx2/GeB+6rDfwx8DTgmM5cDvw/M9c3i9wFHRMQhHZe5s+34MVMHIuJngKPbMknSnFR7378EfDoing/8AfA+4NmZeRhwK3vPdSs7PigzNU/eA/wIOLL6T+NhmXloZv78AK6GGsIitXB8BfiPEXF0RPxMRLwa+JfAFV2c91MRcUBEvBJ4A633JwEcQmvv0T9FxCnAv55ryMy8B/jfwG9HxIER8QvAu4FL21Y7OSLeXH2y8EO0Jqrr53rZktTmIuA1tPaGJ/AQQES8i9YeqXbPAT4QEftHxK8ALwK+npm7gGuACyPi0Gru/WcR0fkWCC1gFqmF47doFZRvA/8A/Ffg3My8dZbz3V+tfx+tMvPezLyjOu3fAb9VvafgE8DGPmV9G629Z/cBf0rrfVvXtp1+FfCrVa53AG+u3i8lSX2RmQ8BfwisAy4E/gZ4ABgF/rpj9RuA44CHgf8MvCUz/7467Z3AAcDttOasK4Cj0KIRe7/sKw1X9RULx2bm24edRZIiYg3wnsx8xbCzqJncIyVJklTIIiVJklTIl/YkSZIKuUdKkiSpkEVKkiSp0JI6NnrkkUfmqlWrAHj88cc5+OCD932GIWhiLjN1r4m5FlqmzZs3P5yZK/ocaUFpn+vq1MT7Vr95HReG+Xod5zTfZWbf/04++eScct1112UTNTGXmbrXxFwLLRNwY9YwPyykv/a5rk5NvG/1m9dxYZiv13Eu850v7UmSJBWySEmSJBWySEmSJBWySEmSJBWySEmSJBWySEmSJBWySElaVCLiCxHxYETc2rbsiIi4NiLurP49fJgZJc0fFilJi82XgNd1LFsPfDMzjwO+WR2XpFlZpCQtKpn5v4BHOhafDXy5Ovxl4E2DzCRp/rJISRKMZOYugOrf5ww5j6R5opbf2tPCt2r9plq2u+OCs2rZrtQvEbEWWAswMjLCxMRE7Zc5OTk5kMtpt3Xn7lq2O7py+bTLh3EdB83ruDBZpCQJHoiIozJzV0QcBTw404qZuQHYADA2Npbj4+O1h5uYmGAQl9NuTV3/WTp3fNrlw7iOg+Z1XJh8aU+S4GvAedXh84CrhphF0jxikZK0qETEZcDfAKsj4t6IeDdwAfCaiLgTeE11XJJm5Ut7khaVzHzbDCedMdAgkhYE90hJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQVskhJkiQV6qpIRcSHI+K2iLg1Ii6LiAPrDiZJktR0S2ZbISJWAh8Ajs/MJyJiI3AO8KWas0mSFphV6zdNu3zd6B7WzHBaN3ZccFbxeaW56PalvSXA0ohYAhwE3FdfJEmSpPlh1iKVmTuBTwN3A7uA3Zl5Td3BJEmSmq6bl/YOB84GXgA8Cnw1It6emZd0rLcWWAswMjLCxMQEAJOTkz853CRNzDWfMq0b3VPL5XV7/ZsyVlt37v7J4ZGlcPGlV/Vlu6Mrl/dlO00ZJ0laqGYtUsCrge9n5kMAEXEl8DJgryKVmRuADQBjY2M5Pj4OtJ4Ypw43SRNzzadMc3kvw77sOPenL2s6TRmr9nFYN7qHC7d285CaXbfjMJumjJMkLVTdvEfqbuDUiDgoIgI4A9hWbyxJkqTm6+Y9UjcAVwA3AVur82yoOZckSVLjdfU6RGaeD5xfcxZJkqR5xW82lyRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkiRJKmSRkqRKRHw4Im6LiFsj4rKIOHDYmSQ1m0VKkoCIWAl8ABjLzBOA/YBzhptKUtNZpCTpGUuApRGxBDgIuG/IeSQ1nEVKkoDM3Al8Grgb2AXszsxrhptKUtMtGXYASWqCiDgcOBt4AfAo8NWIeHtmXtKx3lpgLcDIyAgTExO1Z5ucnBzI5bRbN7pnoJc3snRulzno8SkxjNtx0BbDdexkkZKkllcD38/MhwAi4krgZcBeRSozNwAbAMbGxnJ8fLz2YBMTEwzictqtWb9poJe3bnQPF24tf0race54/8LUZBi346AthuvYyZf2JKnlbuDUiDgoIgI4A9g25EySGs4iJUlAZt4AXAHcBGylNT9uGGooSY3nS3uSVMnM84Hzh51D0vzhHilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCFilJkqRCS4YdQJIWg1XrNxWfd93oHtbMcP4dF5xVvF1Jc+ceKUmSpEIWKUmSpEIWKUmSpEJdFamIOCwiroiIOyJiW0S8tO5gkiRJTdftm80/C3wjM98SEQcAB9WYSZIkaV6YtUhFxKHAacAagMx8Eniy3liSJEnN181Ley8EHgK+GBE3R8TnIuLgmnNJkiQ1Xjcv7S0BTgLen5k3RMRngfXAx9tXioi1wFqAkZERJiYmAJicnPzJ4SYpzbV15+7+hwFGVy6vZazmmndkKVx86VU/tXzd6Jw2O6PpLms6M+WayejK5aWR9mnd6J6fHB5ZuvfxuejX/aCpjz9JWii6KVL3Avdm5g3V8StoFam9ZOYGYAPA2NhYjo+PA60nhKnDTVKaa6YvxZurHeeO1zJWc827bnQPF25t3ve29pprx7njteRoH99+jlW/8jb18SdJC8WsL+1l5v3APRGxulp0BnB7rakkSZLmgW7/+/x+4NLqE3vfA95VXyRJkqT5oasilZlbgLF6o0iSJM0vfrO5JElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJElSIYuUJFUi4rCIuCIi7oiIbRHx0mFnktRszfvtD0kans8C38jMt1RfQHzQsANJajaLlCQBEXEocBqwBiAznwSeHGYmSc3nS3uS1PJC4CHgixFxc0R8LiIOHnYoSc3mHilJalkCnAS8PzNviIjPAuuBj7evFBFrgbUAIyMjTExMdLXxdaN7ioONLJ35/BdfelXxdvdl3Wgtm53Rvq5jN+oah9GVy/u2rcnJya7vL/PVYriOnSxSktRyL3BvZt5QHb+CVpHaS2ZuADYAjI2N5fj4eFcbX7N+U3GwdaN7uHDrwp6um3odd5w73rdtTUxM0O39Zb5aDNexky/tSRKQmfcD90TE6mrRGcDtQ4wkaR5oXv2XpOF5P3Bp9Ym97wHvGnIeSQ1nkZKkSmZuAcaGnUPS/OFLe5IkSYUsUpIkSYUsUpIkSYUsUpIkSYUsUpIkSYX81F5DrFq/iXWje+b0pX2SJGmw3CMlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUqOsiFRH7RcTNEXF1nYEkSZLmi172SH0Q2FZXEEmSpPmmqyIVEUcDZwGfqzeOJEnS/NHtHqmLgN8Enq4viiRJ0vyyZLYVIuINwIOZuTkixvex3lpgLcDIyAgTExMATE5O/uRwk5TmWje6p/9hKiNL691+iSZmgt5zXXzpVbXkWDf6zOF+jlW/8o4s3XtboyuX92W7kqSWWYsU8HLgjRFxJnAgcGhEXJKZb29fKTM3ABsAxsbGcnx8HICJiQmmDjdJaa416zf1P0xl3egeLtzazU0yOE3MBM3MNR8y7Th3fHhhJGkBmvWlvcz8aGYenZmrgHOAb3WWKEmSpMXI75GSJEkq1NPrEJk5AUzUkkSSJGmecY+UJElSIYuUJLXxVxwk9cIiJUl781ccJHXNIiVJFX/FQVKvLFKS9IyL8FccJPWgWd8eKElDMtdfcZjNXL71vqm/MNBPTb2O/fxVhPZfGliovzLQ1F8zqZNFSpJa5vQrDrOZy68iNPFb8/ttsV3HhforA039NZM6+dKeJOGvOEgqY5GSJEkqtLD3o0pSAX/FQVK33CMlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUyCIlSZJUaMmwA0iStNisWr+plu3uuOCsWrarmblHSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqZBFSpIkqdCsRSoijomI6yJiW0TcFhEfHEQwSZKkplvSxTp7gHWZeVNEHAJsjohrM/P2mrNJkiQ12qx7pDJzV2beVB3+IbANWFl3MEmSpKbr6T1SEbEKeAlwQy1pJEmS5pFuXtoDICKWAX8CfCgzH5vm9LXAWoCRkREmJiYAmJyc/MnhJinNtW50T//DVEaW1rv9Ek3MBM3MNR8yNfGxKEnzWVdFKiL2p1WiLs3MK6dbJzM3ABsAxsbGcnx8HGhN3FOHm6Q015r1m/ofprJudA8Xbu262w5EEzNBM3PNh0w7zh0fXpiGi4hjgD8Engs8DWzIzM8ON5Wkppt11o+IAD4PbMvMz9QfSZKGwg/WSOpZN++RejnwDuBVEbGl+juz5lySNFB+sEZSiVn3SGXmt4EYQBZJagQ/WCOpW816Q4ckDVnpB2tmM5cPIjTxgwz95nXsj7o+ULJ15+6u1htZChdfelUtGXo1unL5QC7HIiVJlbl8sGY2c/mgShM/yNBvXsf+qOsDJd3ef5t0Ow7qwzX+1p4k4QdrJJWxSElSix+skdSzZux/k6Qh84M1kkq4R0qSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKmQRUqSJKnQkmEHWLV+01Aud93oHtYM6bIlSdLC4B4pSZKkQkPfIyVJkvpjWK/yLGbukZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSpkkZIkSSrUVZGKiNdFxPaIuCsi1tcdSpKGwblOUq9mLVIRsR/we8DrgeOBt0XE8XUHk6RBcq6TVKKbPVKnAHdl5vcy80ngcuDsemNJ0sA510nqWTdFaiVwT9vxe6tlkrSQONdJ6llk5r5XiPgV4LWZ+Z7q+DuAUzLz/R3rrQXWVkdXA9urw0cCD/czdJ80MZeZutfEXAst0/Mzc0U/wzRZH+a6OjXxvtVvXseFYb5ex+L5bkkX69wLHNN2/Gjgvs6VMnMDsKFzeUTcmJljJeHq1MRcZupeE3OZad6b01xXp8VwO3odF4bFcB07dfPS3t8Bx0XECyLiAOAc4Gv1xpKkgXOuk9SzWfdIZeaeiHgf8BfAfsAXMvO22pNJ0gA510kq0c1Le2Tm14GvF17GQHeB96CJuczUvSbmMtM8N8e5rk6L4Xb0Oi4Mi+E67mXWN5tLkiRpev5EjCRJUqG+FamIODAi/jYibomI2yLiU9XyIyLi2oi4s/r38H5dZo/59ouImyPi6ibkiogdEbE1IrZExI1NyFRlOCwiroiIOyJiW0S8dJi5ImJ1NUZTf49FxIeGPVYR8eHqfn5rRFxW3f+bcPt9sMp0W0R8qFo29FzqXkR8ISIejIhb25YtqNswIo6JiOuqOea2iPhgtXzBXM+mPyf2S9OeW4ehn3ukfgS8KjNfDJwIvC4iTgXWA9/MzOOAb1bHh+GDwLa2403IdXpmntj2UdEmZPos8I3M/OfAi2mN2dByZeb2aoxOBE4G/hH402FmioiVwAeAscw8gdYbk88ZZqYq1wnAr9H6hu4XA2+IiOOGnUs9+xLwuo5lC+023AOsy8wXAacCvx6tn+NZSNez6c+J/dLE59bBysy+/wEHATcBv0jry+qOqpYfBWyv4zJnyXM0rRv0VcDV1bKh5gJ2AEd2LBt2pkOB71O9d64pudpy/BLw18POxDPfgH0ErQ9sXF1lG/bt9yvA59qOfxz4zWHn8q/otlwF3Np2fEHfhsBVwGsW6vVs2nNiH69X455bh/HX1/dIVbv4tgAPAtdm5g3ASGbuAqj+fU4/L7NLF9F6Qnm6bdmwcyVwTURsjtY3JTch0wuBh4AvVrtqPxcRBzcg15RzgMuqw0PLlJk7gU8DdwO7gN2Zec0wM1VuBU6LiGdHxEHAmbS+YHLYuTR3C/Y2jIhVwEuApjxf9E2DnxP75SKa99w6cH0tUpn542y9BHM0cEr1UsNQRcQbgAczc/Ows3R4eWaeROuX5n89Ik4bdiBae1dOAv5HZr4EeJyG7JaN1hckvhH4agOyHE7rx2xfADwPODgi3j7cVJCZ24DfAa4FvgHcQuslFKmRImIZ8CfAhzLzsWHn6bcmPif2S4OfWweulk/tZeajwASt1/kfiIijAKp/H6zjMvfh5cAbI2IHrV9zf1VEXDLsXJl5X/Xvg7Te83PKsDPR+omMe6v/NQFcQatYDTsXtArnTZn5QHV8mJleDXw/Mx/KzKeAK4GXDTkTAJn5+cw8KTNPAx4B7mxCLs3ZgrsNI2J/WiXq0sy8slq84K4nNO45sV8a+dw6DP381N6KiDisOryU1pPNHbR+YuG8arXzaL0WPjCZ+dHMPDozV9F6aehbmfn2YeaKiIMj4pCpw7TeX3PrMDMBZOb9wD0RsbpadAZw+7BzVd7GMy/rwXAz3Q2cGhEHRUTQGqdtQ84EQEQ8p/r3Z4E30xqzoefSnC2o27B63Hwe2JaZn2k7acFcz6Y+J/ZLE59bh6Zfb7YCfgG4GfgOrVLwiWr5s2m9Ge3O6t8jhvWGMGCcZ94QN7RctN6LdEv1dxvwsWFnast2InBjdTv+GXD4sHPReqPm3wPL25YNO9OnaE2KtwJ/BDxr2JmqXH9Fq/zeApzRhLHyr+fb8DJa7717itZe4ncvtNsQeAWt94l+B9hS/Z25kK7nfHhO7ON1bcRz67D+/GZzSZKkQn6zuSRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUiGLlCRJUqH/C1JO3DvIvtAPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.hist(figsize=(10,10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41cbdeef-ae42-4b1e-82a8-3ef236fe4982",
   "metadata": {},
   "source": [
    "### KMeans - Model Oluşturma"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9f9eb63-c9f7-4034-b79d-0464790dc793",
   "metadata": {},
   "source": [
    "Fonksiyonu kullanmak icin **sklearn.cluster** altindan **KMeans** fonksiyonunu projemize dahil etmemiz gerekiyor.\n",
    "* Burada odaklanacagimiz iki adet parametre bulunmaktadir.\n",
    "    * **n_clusters** : kac adet kume olusturacagimizi belirtiriz\n",
    "    * **n_init** : algoritmanin merkezlere gore kac defa olusturulacagini belirtir."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "95306c34-a661-4964-8ec3-a0085b98d1a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "k_model = KMeans(n_clusters=2).fit(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d5af146-dc3d-45bc-8ed1-27d035455f3f",
   "metadata": {},
   "source": [
    "Eger her bir sinifin merkezine ulasmak istersek *cluster_centers_* ile ulasabiliriz. Burada her bir satir bir sinifi temsil etmektedir. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a54ad8e4-303c-4a17-89bd-5f92871ee5d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  4.84137931, 109.75862069,  64.03448276,  16.24827586],\n",
       "       [ 11.85714286, 255.        ,  67.61904762,  28.11428571]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_model.cluster_centers_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb59c45b-6d09-4224-982b-6c4a871fba56",
   "metadata": {},
   "source": [
    "Eger her bir gozlemin hangi sinifta oldugunu ogrenmek istersek *labels_* ile ulasabiliriz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8e65e627-fe88-45a6-bafe-9547bbb48079",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1,\n",
       "       0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0,\n",
       "       0, 0, 0, 0, 0, 0])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_model.labels_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a6cc961-2dab-4bd6-aa9a-51006d8b287b",
   "metadata": {},
   "source": [
    "Kumelenmeyi gorsellestirme islemini gerceklestiriyoruz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "450301eb-131a-4115-98e9-25a6c86dcdcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x261313b2c70>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gozlemlerin siniflarina gore yerlestirilmesi\n",
    "plt.scatter(df.iloc[:,0],df.iloc[:,1],c=k_model.labels_,s=50)\n",
    "\n",
    "# Merkezlerin yerlestirilmesi\n",
    "plt.scatter(k_model.cluster_centers_[:,0],k_model.cluster_centers_[:,1],c=\"blue\",s=200,alpha=0.3)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a6fe48b-ca5c-4743-b4f1-c8dd74fb06f3",
   "metadata": {},
   "source": [
    "Verimiz aslında 4 adet değişkenden oluşuyor fakat biz iki değişken üzerinden görselleştirme işlemini yaptık. Bunun nedeni ise her değişken bir boyut ifade ettiğinden PCA(Temel Bileşen Analizi) uygulayarak boyut indirgemesi gerçekleştirmemiz gerekiyor. Bu işleme daha sonra göz atacağımız için biz kolay olan yoldan yani 4 değişkenin ikisini seçerek görselleştirmeyi gerçekleştirdik."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adbe6c98-62a2-4a9c-96cf-d0c3c180d6de",
   "metadata": {},
   "source": [
    "Şimdi verimizi indirgenme yapılmadan üç boyutta görselleştirme işlemini gerçekleştireceğiz. Bunun için **mpl_toolkits.mplot3d** altından **Axes3D** fonksiyonunu dahil ediyoruz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "56ed4e58-65de-4c11-acbd-c7400c7ec4cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "k_model = KMeans(n_clusters=3).fit(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a1b6cc98-139b-4ecb-86ba-feedc9571c79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x2613934a640>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "# Noktalarin gorsellestirilmesi\n",
    "plt.rcParams[\"figure.figsize\"] = (16,9)\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.scatter(df.iloc[:,0],df.iloc[:,1],df.iloc[:,2], c= k_model.labels_)\n",
    "\n",
    "\n",
    "# Kumelerin ve merkezlerin gorsellestirilmesi\n",
    "ax.scatter(k_model.cluster_centers_[:,0],\n",
    "           k_model.cluster_centers_[:,1],\n",
    "           k_model.cluster_centers_[:,2],\n",
    "          marker=\"*\",\n",
    "          c=\"#050505\",\n",
    "          s=250)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e68fb89c-76c4-4331-932b-514bde8db11a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Murder</th>\n",
       "      <th>Assault</th>\n",
       "      <th>UrbanPop</th>\n",
       "      <th>Rape</th>\n",
       "      <th>Kumeler</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Alabama</th>\n",
       "      <td>13.2</td>\n",
       "      <td>236</td>\n",
       "      <td>58</td>\n",
       "      <td>21.2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alaska</th>\n",
       "      <td>10.0</td>\n",
       "      <td>263</td>\n",
       "      <td>48</td>\n",
       "      <td>44.5</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>8.1</td>\n",
       "      <td>294</td>\n",
       "      <td>80</td>\n",
       "      <td>31.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arkansas</th>\n",
       "      <td>8.8</td>\n",
       "      <td>190</td>\n",
       "      <td>50</td>\n",
       "      <td>19.5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>California</th>\n",
       "      <td>9.0</td>\n",
       "      <td>276</td>\n",
       "      <td>91</td>\n",
       "      <td>40.6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Murder  Assault  UrbanPop  Rape  Kumeler\n",
       "Alabama       13.2      236        58  21.2        1\n",
       "Alaska        10.0      263        48  44.5        1\n",
       "Arizona        8.1      294        80  31.0        1\n",
       "Arkansas       8.8      190        50  19.5        2\n",
       "California     9.0      276        91  40.6        1"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"Kumeler\"] = k_model.labels_\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d052fe1b-f71f-4ee6-b30c-2411c9d82a12",
   "metadata": {},
   "source": [
    "#### KMeans - Model Tuning"
   ]
  },
  {
   "attachments": {
    "263fa66e-6669-4227-b915-2c229ae3b525.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAEACAYAAACeQuziAAAgAElEQVR4Ae2dB5gUVdb+3ee/++23+21w3XV3ze6aMKDiCioigoIKLMriikowgUhSQCQrQQFRRAQEJEkGEUUUBEEyIkgwoCAgSg6Sk4govP/nd4vGZpjp6Zmp6qqeOed5eqZD1a1b761669xzTzhJJoaAIWAIGAKRROCkSPbKOmUIGAKGgCEgI2i7CAwBQ8AQiCgCRtARHRjrliFgCBgCRtB2DRgChoAhEFEEjKAjOjDWLUPAEDAEjKDtGjAEDAFDIKIIGEFHdGCsW4aAIWAIGEHbNWAIGAKGQEQRMIKO6MD40a3JkyfrlVdecU2NHz9eI0aM0MGDB/Xmm29q6NChfhwirdv48ccfNWXKFA0YMEBHjhzJ9bl88cUXeu6557R3794T2ti9e7eaNWumevXqac6cOSf8HsYX27dv18CBA/XJJ5/4dnjae++99wSm8fLNN9+oZ8+eWrFiRfzX9j5JBIygkwQqqptBAK+++qoqVKigG264QXfffbc+/PBD111uxPXr17v3L730kp588knt379fzz77rFq0aJGSU2rfvr1ef/31Y8datGiRmjRpoj179hz7LpVvHnjgAc2fP98d8ocfflC/fv302GOP5YmgZ86cqTvvvFPbtm074VR69+6t++67T8uWLdOuXbtO+D3ZL3iA8CCoX7++SpQoofLly6t///5i/LOTuXPnugdEbLtDhw5p48aNmT5QYtvk9H+jRo3Up08fgWm88BB46KGHNG/evPiv7X2SCBhBJwlUFDc7fPiw3nrrLd11112C+LZu3aoZM2Zo8eLFJ3Q3LIKuWbOmIKmYxMhsx44dsa9S+v/666/X+++/746ZCoJ++OGH9fzzz+foHCHjjBr9unXrVKxYMbVt21arV6/WBx984B7KXbp0yfZhN2nSJN1222056kNONzaCziliyW1vBJ0cTpHc6sCBA+rRo4eeeOIJp7lA2PHC1BKNEclI0LVq1VLlypV1zjnnuG0gAGT58uWCVM877zxde+21zgQAWaABVa1a9dhUddSoUU4z+u677xyZYDa57rrrVKhQITelZ2o7evRonX322Tr55JN17rnnqmHDhrrmmmv0m9/8RqeddpqaN2+uDRs2CFNMqVKl3Db33nuvli5d6vqS8Q/tQEiFCxd2ZIX5hs+XXnqpypYtqzVr1rhdvv/+e/Xq1UtFihRx277wwgvu4dW1a1fXl7/85S+65JJLNHjwYKdBs2+NGjXcOUOosYcH7VWrVk0XXXSRax+iYwr/008/OdzPP/98FS1a1M0IMtOgmSn89re/1R//+EeVKVNGS5Ys0dixY11btHn//fdry5Ytrs0xY8a4tsD+lltuOTYLimHAGDM7iiduTApgTrsIuLZu3dqdW8mSJYVZC3xvvvlm/frXv9YZZ5zh8Fi7dq3q1Kmjd999V1999ZXuuecePfroo7ryyiv1j3/8Q4wt2F522WWO2GMzsi+//NJdM4wpY8CDB6yR7AiaNlAgOG67du1O0LRdI/bnBASMoE+AJH2+gJC5yW666SZ17NhRaKeYNJjCIokI+oILLtCnn36qb7/9Vg8++KA6d+7szB/caG3atHEkhaZ56qmnatOmTQkJGvsiN/fHH3/sCAeTATcvD5DsNGjIGHJmGo59nAcOM4LYjR8/GhD0I488op07dzpihSDRzjHlcBwIGIG4ICUeEitXrnQmhmHDhjlizUyD/te//qXp06cL4rrxxhvd/rQDaYEHhI39nofd559/rqlTp+rqq692DysI8I477sjSxAEJ84BAFixY4B4Ew4cPd21CVmAF6b/22mvifN555x2HQ8aHbfHixdW3b1/XTuwP/YKgIX22/9WvfuX6DB6cL6YFTCsZNeiMBI25hH6AK+d51lln6emnn3a4YqKCUPft2+fwxGTBA4qxZj8ezEgiggY3HkBNmzbVM888kydTT+zcC8p/I+g0H2lIkIUubJOQEi9IG0lE0JADAhGyXd26dZ2NEwKMX8yCPEeOHJmQoLmJ0e7Yj9dTTz3ltGU00OwIGkLmBp42bZrbF4JAg8TemlEgaIgB4WFUpUqVY7ZN7J+QDMID5/HHHz/WH84JkoGAMiPo2rVru4cJ+7KYR1tI7KHDe4gYwoPsWrVq5V58D1kxU8hMg+b3eILGFg/px9YFMEsxU4GgaYPzpr3M5IorrnDjEP8bY8e6A4TPfr/73e+0cOFCtwmaMceaOHFitgRdqVIlzZo1y+3HjOj0008X2jKCNs16BQ9pHqB8z8OUhyCzjQ4dOrjtEhE0RM4MAtzQok2SR8AIOnmsIr8lC0ZMcbkhkEQEHVsk5CZHC4VI0agh6tiUljb+/e9/uxX/jz76yE33YzfukCFDHBFyQzP9vuqqq9y+7A/5Q7xM3zGlJLJBo2lDMpAk+/JCg//6669PwBuCRitGZs+e7Y4f80TAE4M2EMiydOnSx9qDoNEo8bJggS2RDRozDOYg5OKLLz5GVMw0IOgJEyY48kcTRNBc0XqTIWjIjocIuCBot5gdIGg0zP/+97/u+8z+YI4Cl3hhLDBDof1j+vj9739/7MGGnZpjYeaATONt0Bk1aMxKsTGnL2eeeaZbRORYPFTwQuGhgimK64SHGP/BsmXLlq5LiQiaGR5mJBanjaDjRzD790bQ2WMU2S3QmtBSMTGw4IU2jbsXpIrklKA3b97sNHG8AyBe2mXazaIj5F29enWnrfMgQENFg2U7SAsCQcuEsJh6cyNys0MS3JgxQcOGzPAiQLjp8XJA40PwMsEezr4ZJVmCfvnll9WgQQM3Rac/ECJ9gsTQUmNeJZktEsYTNISJNs05orGjmeMBwsMJrZNzxDODB1QyBM0sAWKDUGmThxjtJEPQEDjmF/rBODNWEDa289j6wf/+7/+Kc6dtZlU8sHiwoh3zEIxp57klaDRy7Opo0lwbnHMyBA1ueBqBU7du3czEkfHCTvDZCDoBOFH/CYJBG0R74eLn5mFRC3smklOC5gbGnomGRFtowtgNuSHRIDFlsFCIux5aF2YNyAD7JNNXtkUzR4tnag2RQIbYaNkHTQ6tj2k/BIoHCmSBFh3bl3Z4QGRlg05Gg6ZN8EDzoz8cm0VOzg97MMTLueAJkdHNLp6gefDw8KBvYAGe2HeZ7vMZsxLnCgElQ9A8KDg+Gj1tQq6MXzIEzUMRrZ1jMd7gRx8gfcYHYSGwcePGbvGVB0H37t2dWYeHIQ9tFmVpI7cEzSyEhzK4ct48XJIhaGYeaOjMdsCMhwjXrkn2CBhBZ49RZLdAI4Q4me5jd4YUWYiCGBHILGazxWTAlBqSYuEs5imBhsl0OGYqgHDZh7bQ9NA8EbbjxoZQ+J5t0KxjWhn9QLujH/zOtuyDvzOuf9hu8RCBeNHGaZ8FNz5zDDRr9qV9+sm+GYXf6R8CUdKHmB8wx6NdBFz4zGIexwEf+sf3aL1o7byYffCKeUGwL+9j5hWID5sufad/8dNzMON7CBIs0VQzIx0wis0OaB/Nl7bYl99Y0KVfkChjl0iwoUN0PDjoP3jGHxMTB+fKb2jNnDNC+2AFfmjWXB9gxQODGQvnSNuxbdk/9oCkX5wfnxlL2sdsgh0arGLXEWMJJhnHjfHh2LRPPxhbbO+x68Yd1P5kiYARdJbQ2A+GQHoh8Ic//OGYuSO9em69zQoBI+iskLHvDYE0Q8AIOs0GLInuGkEnAZJtYggYAoZAGAgEStDYo7BBsbqPzTAzuxPfYYPk95j9CnsVti9eLEAlElawWbSxl2Fg14BdA+lwDcS8bhLxWuy3QAkaYma1l9V+VpwJPmChIF5YQCFQARceSJoXrlmsVrPKjYtWLDIufr/Ye9zAcCeyl2Fg14BdA+lwDeBnnqwERtC4DrFijEsOWjDO//hCxqdkZAWZKDVyAeD+Azmz8o5rU2xlG7/VmCdBZicV8/nN7Df7zhAwBAyBqCFAaoFkJTCChohJRkPSGgR3JMJtmYIgEDBuRmjIbEcuCQh61apVLmKL3BD4xOLDGu9KxL44ybMPuQkIbTYxBAwBQyBdEIgEQWN7hkDRmhH8JnFqx+yB4ItJ6kS+xyc0RtDYZwj3Jb8AkVaYOzLmDibslKAH/DEJITUxBAwBQyBdEIgEQWPWoGoHJIvg/E6GLBz1Ef6TzpCosnLlyrlUi0TAkVOBFJJo2CwWEhEVC0BwO2b4YyaODIDYR0PAEIg0ApEgaDwyiCAjdBZtGg0ZrTgWCcbCH4uGRCKhaRO+GjNd8B4hcotw0vhIrIzIG0FnRMQ+GwKGQJQRiARBAxAES0IX0jbilUEILRoypol4iTdxYM7A44MsXaSGJC9DRs+P+H2NoOPRKHjvqaT01ltSfDWp6dOlESMKHhZ2xumBQGQIOhVwGUGnAuXoHoMiKtWqSS++SH4OiWd/oUJSJlW/onsS1rMChYARdIEabjtZMpWWKCHdeqt0/vlGznZFRBsBI+hoj4/1zmcEKP6Ba+kvfkGy/uPNHT4fypozBPKMgBF0niG0BtIFgW3bqB0onXeedP310v/7f1K7dhLfmxgCUUTACDqKo2J98h0Bsga88YZ00UXSk09KH33kvf/Tn6QxY3w/nDVoCPiCgBG0LzBaI1FHgHz01L4lVmnpUqJTPY+OU06R6tenoGvUz8D6VxARMIIuiKNewM4Z8h03TipSRBo4UDpa9UlUUmrb1tOkp04tYKDY6aYFAkbQaTFM1sm8ILBqlVS9unT33dLq1Z72HGuPerQ33SRRJPto6pfYT/bfEAgdASPo0IfAOhAkAmjJaM34O1MfN2P5Qj7PmCH9858SBcUzKRAeZPesbUMgIQJG0AnhsR/TGQHszCtXSsWLSw8+KO3dm/nZUOehUyfPBDJlyokknvle9q0hEDwCRtDBY2xHCAkBbM3PPCNdfbU0c2biTqxYId1+u1SjBilqjzeDJN7TfjUEgkPACDo4bK3lkBHAWyPmVped6YKFxDfflK64QurcOWttO+RTssMXMASMoAvYgBeU00V7RhvGvEF4dzKye7fnI33NNdKkSWaPTgYz2yZYBIygg8XXWg8JAdzq8HEePDhn5orly6W77pLuuENauzakztthDYGjCBhB26WQ7xCgzgN2Z0h2z56cnR5eHdOmeaaOli1zRu45O5JtbQhkj4ARdPYY2RZphACeG+3bS3/+s/TJJ7nrOOaRrl2ls8+W3nsvd23YXoaAHwgYQfuBorURGQQWLZIKF5aaNs2bDXnHDum226SLL5YIEzcxBMJAwAg6DNTtmIEgQFAKEYOQ6tFylrk+Dpo47na/+5300EPmG51rIG3HPCFgBJ0n+GznqCAAoZKtjohAisNn51aXbL+HDpVOPdVrM2MUYrJt2HaGQG4RMILOLXK2X6QQ2LBB+s9/vJwa69f71zWIH638kkukjz+2RUP/kLWWkkHACDoZlGybSCPAol6vXtJVV0mTJ0uHDvnbXUwdlMminmFeTSf+9sxay+8IGEHn9xHO5+eHhvv551KFCl61lCAW9HgAvP66l6uDB8GBA/kcVDu9yCBgBB2ZobCO5AYBEiARmo2GS1a6oOzEO3d6niElS0qzZwd3nNxgYPvkXwSMoPPv2Ob7M4OMFyzwwrmpLZhVtjo/gOBYS5ZIFSt6Xh3r1vnRqrVhCCRGwAg6MT72a4QR2LpVatjQS7iPmQNzR5CCGx85pakK3qePRJpSE0MgSASMoINE19oODAGyz02c6FXo7tnTP7e67DqMlv7EE14wzJw5ZurIDi/7PW8IRIagd+3apeeee050qEGDBlqfia/U5s2b1bRpUzVq1Eg7duzQzJkzVb58eZUoUULFixdXsWLFtDZBhpt///vfeUMrInvj70sIcszXF03unXc8D4aIdDHwbuzf7xWApVzV9u2BH+7YAdDSSah0ww2eW18qj32sE/amwCAQCYI+cuSIPvjgA9WvX98Rb5s2bTR69Gh9//33xwbip59+0qRJk1SqVCk9/fTT2p7hzpgzZ44qVap0bPvM3uQXgv7sM48gRo/2kgEx3cYHGOIoCAJJDhkinXWWNHZsOGcM9gTFoL0HtTAZzpnZUaOEQCQIev/+/Ro+fLi6devmsIGIO3TooC1bthzDatWqVerUqZO6d++ujh07nkDQkPsQ7toEkl8ImlP84gvpnHO81JilS3ulnRKcer76ieKu//iHVKvWz7OIVJ8gs5cWLaTTT5cWLw7e/p3q87PjRQOBSBD07t271bdvX71KjK6kuXPnqmXLltpAeJikH374Qf3799eoUaOcFp2RoHfu3KkiRYoIE0hGgeTRzjGH3HLLLRl/TtvP27ZJ554r/fKX0gMPSHHPsrQ9p2Q6zkJdgwae9rpsWTJ7BLcNl1vZstJ110lUBzcxBPxGIBIEvXfvXg0aNEi9e/d25zd9+nS1bdtWm1CVJG3btk0lS5Z02nPjxo1VuXJlzZo1S4eOhowNHTpU9913X6bYfPHFF3r55ZfVtWtX3YTBMh8IwRi4lf3P/0g33yz9/e9eJZBMzPb54GyPP4WpU71UokcnW8f/GMInFgpPO81bOPzuuxA6YIfM1whEgqAh2okTJ6pVq1Y6cOCA+vTp4zRqNGtkz5496tKlizOBPPLII6pQoYKmTJniNGt+L1u2rNs/u5HKLyYOKk+juUHQ8+ZJDz/sTfmff15i8Sy/CilA77xTuv56ifdREOzPXbr8bA8P2tUvCudsfUgdApEgaE73m2++UfPmzdWwYUPVq1dPixcvdiTM/3jBPh1v4sA2XbhwYWHHzk7yC0F//bV0993S5Zd7Ntg1a6S6db0qIGRfy4+aHMQ3YIBn1sG9LkpC1ZaqVSXWAj79NEo9s76kOwKRIegff/xRq1ev1kcffaTly5fr4MGD2rhxozNvxIOMex2udGyPoF1nJPH47ePf5xeCxhe3aFHpsce8s0OLg7QbN/ZImrwR5I/IT8KiaJkyUu3a0QwQoXoLZbZYuCQs3MQQ8AOByBC0HyeTXRv5haCxe+LFMGHCz2cMSRN+/MgjXsL6eD/pn7dKz3csDDZrJl12mUTFlCiaEegjTkS43r3yirnepeeVFr1eG0FHb0yy7dELL3j18jK4grv9WFfF/HHmmV6eimwbS4MNKOKKOefZZ6NtY2fxtkkTLzfIRx+lAbDWxcgjYAQd+SE6voNoyhAw9fKyMruvXu0tIqLNrVyZ3toc5oJHH5VKlfIS5h+PRvQ+sWSC212jRl6EYxS1/eihZj3KCgEj6KyQiej3uNJh62zbNrGd+auvvEWr886T0ObIXZFuwjLDuHFeHuaBA6W4wNLIngqen4MGSZdeKg0fnniMInsS1rHIIGAEHZmhSK4j774rXXSRNGlS9poxlUDQPCnXRK7kWO6O5I4U7lZontjUa9SQ7rkHL59w+5OTo2PqqF/fe0BSJisdH445OV/bNjgEjKCDw9b3liGtTp08Dw7ybiQzfWa7O+6QihWT8J9OF5LGC2XwYK+MFcmhMO2kkyxc6OVLYdE2iCov6YSF9TX3CBhB5x67lO+Jzfn++z2tMiehxSSav/12L+pw1qzoa3Q8eEhKSGQ+bmvkfU434UGI3zYmJrw6TAyB3CBgBJ0b1ELah9wTBEP06JEzX2C0TyqPkPHu1lulDz+MNkmjPVPGCrc6HijJzBRCGpKEh921S6pTxzMxWQBLQqjsxywQMILOApgofs2CGdU8cDvL6ZSfxSuImZTYeIDwPqdtpAoT0qnigdKyZfovsuFRc+210o03BluSK1VjY8dJLQJG0KnFO9dHQ4sk5wOLfkuX5k6rZNo9d66nhdNOKspE5fSEOU/MMRdfnD8yxHE+BBb9+tdS69Y5RcO2L+gIGEGnyRVAUAphziRGymtqUQgDrY6qIDmxZacCKirD/OY3XlReKo6XqmOwuPuXv3izn1Qd046T/ggYQafJGDLtJxdF9+7+TPsxk2DjLVfOm3pHwc5L0iH8h8kKmy7eJslePpxPiRLeuZFHOgp4J9t32y48BIygw8M+6SNzM+P/jNY7fnzSu2W7Ib7UmBIqVpSojRAmaUBghHKfeqqXbyPbzqfhBgQMgfeTT+ZskTcNT9W67BMCRtA+ARlkMyTiofYdyfnJmuanYFK48EKpShWvpmFYJE1AB+RFUqT8KqSB7drV82MfOVI6Wm8iv56unZcPCBhB+wBi0E1gcybgIQifYAgZrRzvkLvu8modppqkqctQr543Q0hQlD1omANvH1w5v2rVPE8aHrapxjrwk7QD+IqAEbSvcAbTGP7P2J+fey4Y/2VIAhe+4sW9xPPkXk4VcXCct97ystVRkjK/2Z4zXhGcH/Z/ZkNPPGFRhhnxsc/HI2AEfTwekfuErzLBGmi4b74ZXPdIRET7ZGLDW2TVquCOFd8yfsKUk6SUFdplqh4M8X1I9XsKLmCyougCYeyYsEwMgcwQMILODJUIfUd4N7V0CXQgZDsogRghaaqxkLeDZD9BF6HFBturl3TllR5RFRSbLFjj3kg1diJDyTxYEB5MQV27+bldI+iIjy4uWdzI1LwLutZgjKRJk4m7GzmNjxZWDwQlwp+Z6mN/JqFQQSIpZkbz53tadMOG6ZFKNZCLwBpNiIARdEJ4wv+RlKFotB07pq4vkAeJfk47TYI88E/2W3jYkG8D0w1Z9gqqvPyyF8BCiTITQyAjAkbQGRGJ0GeIcupULy+Fn/7PyZwiOYwJijnnHKlFC3/9dmPaI+TcoYN04EAyPcqf22BWIt/1ued6Nvj8eZZ2VrlFIDCCPnTokPYfrcl05MgR8Qpb0q1oLItHaM5UUAkjYT0eB9Q//PvfPSLFHc4PQSNv2tTLK+K3X7cf/Ut1G3jpUAQYN8d9+1J99OyPR3bBHTuOX8zk1s5ryoHsj2xbBELQmzZt0tixY9WzZ08dPnxYa9eu1VIy/IQs6UbQ3ARE+eHhEJb7GQt3uPeRR+Lpp706e3kdRqq7FCrkaehWbcRDs3176be/lTB5gDmaNRVlqMkYpqBXoRwwm8I9ENMUaVRZ3O3bN8yeFYxjB0LQzz77rJ577jkVK1bMEfT06dP1zDPPhI5ouhE0C4RE+UGQYQqaPJn0SD4PSedFc+KhQ7a6WHh5mOcVpWMPG+bZ/EmzOmGC59Xy1FOefR6CxNOD9Ygvv/SCicjNwuxj0SIv1/e8eV6mwtmzpZkzPTJ9/30J2/bEiV4wEr7uY8d6bY8eLY0a5dVNHDLEq6PIukO/fl6BAQiYvOMvveSNOV5E5BJp105q3tyr0kN/TIJFIBCCrlq1qnbv3q0bSJcmipZ+pCdJQBCypBtBc2Nhm+SmC1uY5r74oufdwVDmlqQp/nr66f7mFAkbGz+OTy6Uxo09LZokVnjRYPYgdzcPNPJ4ly/vFVwgaImEUpAmtxgBRuRpueYa78V7/Nl58dv113vkCsGyfcmS3r6knOWFqx8v2sSrhvZ5lS3rVbWhDxyf9v/0J+mXv/SOR+FiHgBcCxGwYPoxDJFrIxCCbtu2rUaNGqWiRYtq3rx5euqppzSQOzNkSTeC5obF/hyEF0VuhoJ+xEiam3Pbtpy1gibIoiMh60G7DOasZ9HYmtJezCz++EcvNwqzFdYgmEGRwwONFp94TAvcTmi+I0ZIaMMEGRGR+fbb3sOP5Fokw4JA8ZJhsXn6dE+7JvDpgw88jRvNmyROVNxBGycnCu6P+NyTLxz7OFo7BR4otwaJM4Y8LCB8ChJD4G3aeHmvo2hDj8bo5q4XgRD0unXr1K9fP1WoUEGNGzd25Lw1m8Jye/fu1ZAhQ1S9enVnHvk2k0qb27dvV/fu3fXCCy9oz1HWwr5dr149PfDAA2rTpo1+TGCsTTeCvuoq6aGHoqOdoCUxjJg70PC6dUv+4cG+lH86+WTvps/d5Zq/94Ic8WyhyC/RlZAj9l4udaIPMQ/xYMM+zYwG0xOXO14x4BuUFksfGOvHHvNmcyR6QjPnAcHDgTwxRYp4ZE1ZNaIkMX/Y+kLer1ffCRpvDezP27ZtE6TM/wNJ+FEtXLhQDRo00Oeff64WLVronXfe0Q9xMbAsNs6YMUOlS5d2RAxZ8929996radOmacOGDVq1apX7LitY0omgieL73e8822BW5xPG95AAC1dod9hLsVkmMbxOe2N6DLlDKCbHIxBLRYoG/PXXnmsjtt4gA4WO70HWnwj7Z5zJ0cIDgYcDWRAhbT7j3UOfIW4WtM880zNj8aAh6AmCN8kdAr4TNN1Am92Zg+Xn7777TiNHjnSaMftPmDBBnTp1UrwWDQF37NjRkT//Iej58+frER7fSUo6EfTQodLvf5+6nBhJQnhsMzQ6UoOSvxktips2K0Hjw7aJlmXknDlKLMZhgogJxMzC4cKFsW/S5z9h7FQyxzx30kmeokE0LIuWXAsmySMQCEFjgy5VqpTz3MAcwWsSBrEshAXFvn376lXSmQnb2Fy1bNnSacV8xmwxZswY9erVy7UTI2i+wyRSrVo1VaxYUb179xb+1/GCdn3PPfe430tgNEsDQUutXl0qXDi4aasfMKAZNWjgeR9gC42b8BxrnmkuNtOzzpJwrzMpOAhwHeNdi30ac93f/uZd08wMqI2JlxJmm6BMM/kB6UAI+o033tArr7ziCBPS5D3miawEe/KAAQPUv39/t8ns2bOd18fGowXzdu3apUqVKumDDz5wRN6oUSOtWLFCr7/+uq677jrxOxo1RI2pJCtJFw0aLYMVfMKsoy4sFNao4U1pmfZm1KSZ+rKwxAJTMqaQqJ+v9S/nCEDAzLgmT/bWIa64wltovPVWb/GTRUluda4PI+vj8Q2EoIkghGTffvttjR8/XosWLdL3CeY2Bw8e1Lhx49S+fXtndx46dKh69OihHYQvieCI7br//vv18MMPq1y5cs475LXXXnOa9n333aeffvpJmEmaNWum9xIkNUgXgmY1HfszK/HpIC0Dh1kAACAASURBVKzn4pmBhoS5IzbULGhRLBXticRAZt5Ih9EMto9cAwTgYJt+8EFvsZFKOtiu8VLBpXTNGu9Bb2TNovG/kh6Qk5LdcsSIEc57A8LF3MGi35RsMuIsW7ZMjz/+uF5++WU1bNhQc+bM0eLFi93CX/xxMZXETBwQO6SMCx8aOB4jeJBkJelC0Cy+ELl39PmU1elE6ntImjzS55/vmTSwoTKNxec2tvqfwMEmUudinUkNAlwPeKoMGiTVrev5YuPDfe+9nmaNzRozSEF+sAdC0ASqLF++3I0y2i2k2o4QpASCho3P9KBBgxyZ43b32WefnUDQa9as0YIFC45p5HhuoHHzUPgYP6UEkg4EzcWINkGgQLoJLnjYpFnFJ4VozZpeQAM3HItGmdmo0+0crb/BIIAtevFiafBgL80ti8oExpBICj9wFlCjEg8QDAKZtxoIQdetW1fDhg1zXhhotPgud8G/KmRJB4LGFkckGRWu01GYwKAN/eEP3uLhRRd5GjTP64KsCaXjWIbRZxaVmTkSxv7aa94Dn3S7+N0TxANZQ+QZ1zrC6GsqjhkIQS9ZssSZNWrUqKEHH3zQucah6YYt6UDQLKSggeIXm44CCROkgPZMRBwBDXPmeP6y6Xg+1ufwEMAhC1MZhIzLIcV2UV4uv9wrYEHuEEgcU1rMfAZxEyVJhGR+kEAImmAV/KDJard582YX9WfpRpO7XAjt5SLMgRt5cg2ncCv6jmsVOSDw4GDxhymsiSGQWwQgazRrZmKYy265RTrjDG+thv9o1lxjeBKRNyTI8nC5PYfc7BcIQdepU0cxFzmi/XCPwxc6bIm6Bo0W8N//pqa8VVBjgasUob7Y0Veu9F7lykm4uGdwUQ+qC9ZuAUAADw9cODEF4pL6i194iabI/pjNUlRaoRMIQRMYgm9yTMhmR56MsCXqBE1yGjKQxXICh41Xbo6PvyvTUdJjxoRkOyz+FBS7Yey87X9qEMCdE/PHb37jzdry02wtEIJ+4oknXOTfl19+KezRRAniPhe2RJ2g8Q3FvIHPsPmAhn212PHTAQGy53Hf4PVB1odTTvHyveQXkg6EoCFmgkrwf4asW7du7aqqhD3gUSZoFtdatvTy9EZgPTXsobLjGwJJIUAaVLRnFtVZ+yCbA9V6KFqQH8RXgiZwBH9mFgSJ7Js4caIL38af2RYJE18u27d7dluCPbLJzJq4IfvVEChACFBZhix7uOexhkPKH2zShF3kh3SnvhI0YdbYmwlOwYMjlqOZIBWCUMKWKGvQmDWIoiIhu9lqw75S7PjpiABmQVKfEiRFng+iFNNdfCVoglEmT57stOU+ffq4/BkrV64UeTOoUxi2RJmgWVjDIZ+IeLM/h32l2PHTFQG0ZvJ5EIX4/PM/54VJ1/PxlaBJ1E+BWKR8+fIuWRLvyTBnNQmzvkQIgaZAKP6beHKYGAKGQO4RICQcEwf1F9M14Ct29r4S9OjRo0WYNzUICxUqpH379rkKJ1OnTs02F0esQ0H+j6oGTfUUFjqeeELKpNJXkJBY24ZAvkOAGSiLhxD0M8+kd0UXXwmakSYLXc+ePbV69Wo38JStwi5NKauwJaoEjXmekGiyelm+irCvEjt+fkCAoCisquTwYFKfrmZD3wk6yoMbRYLmwnn9dY+gp02LMnrWN0MgvRCgmgtZIfGPZmaajiRtBB3yNYdDPfk3yNRFkiETQ8AQ8AcBCLlXL4mCAOPHp6fbXWAEjasdOZ2jJFHUoEnPSb7kxx/3ygJFCS/riyGQ7giQ8J/7q3x5ifJs6SaBEDQVuAcPHqxu3bq5RUJSjX5CgteQJWoEzROeemxkfeNJn45TsJCH1A5vCGSLABnuCF4hH0y6SSAE3alTJ1eB+5prrnEETcFYylSFLVEjaHw2mXpRnj6bimBhQ2fHNwTSFgHMiA8/7OW52bAhvU4jEIKuXr26y2Z3A34u5ged5RXBhYMb0G23eYUys9zQfjAEDIE8IUA4+OmnS02apNdMNRCCbtmypQtSue6660QxWPyi+/XrlyeA/dg5aho0NrFKlbwSUZYr2Y8RtjYMgcwRYLaK291f/+pli8x8q+h9GwhBb9myRZg5ihYtqjvuuMOZO3YTJB+yRImgsTezQIifJgnuzf4c8sVhh8/3CJCinhqZFKJNF4UoEIKeMmWKDsUhsHXrVleJO+wrIEoEzRP9vfe8C4bcASaGgCEQPAJjx3rFjEeNCv5YfhzBV4KGlNGUK1eu7PI/79ixQ7ymTZumtm3b+tHfPLURJYL+/nupRQsvf2061x/M04DYzoZAihFg3YeYgxtvlHDBi7r4StBkrsO17tJLL3WJ+lu1aiXs0Q0bNtSrFKULWaJE0LiIk1yc1WUTQ8AQSA0CpFKYOlW65BKJMqkkKouy+ErQ1CFcvHix7rvvPpEgiWKxc+fO1aJFi47l5ggTjCgRNAVV//Y3r5hqmJjYsQ2BgoYAxTGaN/e0aArMRnn9x1eCjg00CfoPUN75qKxYscIFrsQ+Z/afaizz5893273//vuZRiHu379f+FRD/lRuoWrLoEGDNHz4cI0cOdIlZcqs7dh3USLoIUOkv/89/5SHj2Fs/w2BqCPA+g9pSAkQe/rpaEfw+krQ69evd8ViixUr5orE9u/f37nXUdG7Q4cOCceNOoZNmjRxHh+NGjVyWfF+pIbNUaFkFtr5f/7zHzVt2lTbt2/X5s2bnadIOhJ09epegAq2aBNDwBBILQKYGHG7I1RjzpzoatG+EjQh3mPGjFHp0qXVu3dvDRw40L3IE40WnZWgPY8bN07t27cX6UmHDh2qHj16uAXG2D4QMm1C3pB9jKBvuumm2CbZ/o+KBo2Dy9lnS489lm2XbQNDwBAIAAHMGqRZKFfOy8Me1TwdvhI0CZIwO5ALmgXDmTNnuqT9eHZAwlnJnj17NGDAAFdglm1mz57tKrBs3LjR7XL48GFn2ujcubPeeustFzYeI2gWJO+++25XKAAtPJFEhaAXL5b+7/+kt95K1Fv7zRAwBIJEgAVCYhAuv1yaMSOa2e58JegYmOPHj1fZsmVFJCFmCuoUvvTSS7GfT/gPgfft2/eYpwcLi3h/oJEjZMWrWbOmMKFMmjTpGEGjba9du9Y9BPC9rlix4nG2b/alkC3EXKpUKV2P0SkC0rmzdPLJXpn4CHTHumAIFEgE0KKpZkSpuapVpaP6YKSwCISgq1Sp4swTyebiQOtmke8F/F4kTZgwwUUifnu0/hPE/Ne//lXnnHOO+3/yySeL+ofx6Uwpr1W1alWROS8riYoGTcXhHFhmsjod+94QMAR8QAAP4DPPlN5+O3padCAEjbaLeaJEiRLO5IF2+zTLpQlkwYIFql+/viuN1bx5c73zzjvatm2b2z9+t3gNmgjFdevWuWNRrJYAGcg+K4kCQRNu+qc/SWjRJoaAIRA+AiwYkhOHuISo2aIDIWgWCtGGixcv7kwXjRs31qxZsxKOBNowLnPVqlUTtmbyebBwSI3DeKG+IV4b2K0/++wzNWjQwJk/IHc+J5IoEPTEiZ79edGiRD213wwBQyCVCJDu94ILpG7douXREQhB4xJHkEqvXr2cm92nLJdGQKJA0C1bSuecE/0IpggMl3XBEEgZAnj0UtXo3HOjVXouEIIeMWKEWxRkYTD2wswRtoRN0DiyYHvGB9rEEDAEooUAy1fUL3zooegoUIEQ9GuvveYCVXr27OkW82rUqOG06bCHI2yCxhWcadTAgWEjYcc3BAyBjAjg1YHb3Z//7OXryPh7GJ8DIWhc68hshxsc4dm4ur344othnN9xxwyboEeO9AJUvvrquG7ZB0PAEIgIAizilywp3X67xPuwJRCC/uabb0TQCC/szywYUlUlbAmboCm3w0pxxIqdhz0sdnxDIFIITJsmnXGGNGBA+N0KhKDxqChXrpzKly+vSpUquRDuNWvWhH62YRI0BWUIKyW82/JvhH4pWAcMgSwRIGc0dmjWixKEVWS5v58/BELQdJBscwSP8MLUEQUJk6Dnz5euukoaPTp6zvBRGBvrgyEQFQSwRZOOgfJYrVtLcTnbUt7FQAiayD+S9aNF33777c7+TFBJ2BIWQTPggwdLhQt76UX5bGIIGALRRQD7My6xxYtL8+aF5xsdCEETPEJujU2bNunrr7/W888/r65du4Y+GmERNNnrSBBeoYK0dm3oMFgHDAFDIBsEUKLIGc2CYdOmUlg1rwMh6HvvvVcsFCJkoiPBPkn8w5awCBrz+3//69UgjMLKcNjjYMc3BNIBgX37PLe7667zCjyT6D/VEghBkzoUEwf1CWMeHGS4C1vCIuj33/eqN4wYEa49K2z87fiGQLohsHy5l6fjkUfCKTIbCEFTm5BgFRLs9+nTRxMnTnSLhWEPThgEzVSpTx+Jp3CUKzeEPTZ2fEMgigjg39C/v1f9CB0z1QuGgRA0ifvJ6Txq1CgR9k1FFZIchS1hEDQ+z8T4ky2LQrEmhoAhkF4IkCf6rruk//wn9dnuAiHojh07qnbt2i7MmwVCXmjRYUsYBE14d8WK3iLhnj1hI2DHNwQMgZwicPiwV/2oUCFp2LCc7p237QMh6LvuusulC6XMVewVXwA2b13O/d5hEDRRSdde6+XfMPe63I+d7WkIhIkApo4aNSRIOpWBZr4SNGRMXmfCumfMmOHe85kXgSthS6oJmifvoEHeAuH06WGfvR3fEDAE8oLAJ594lVdwSOPeToX4StDkfy5Tpoyr6v3Pf/5TJUuWdJ9vvvlmZ+ZIxQklOkaqCXrnTs+0cc894YeMJsLFfjMEDIHkEGA9iYLPqVpP8pWgKf5KodfMXjthq5Al1QRNHD8FKckTlaCoecio2OENAUMgWQQ2bfIyUt59t5Sgul6yzWW7na8ETV3BIUOGZPqiwkrYkkqCxt5MiGixYqlfWAgbZzu+IZCfEaDILHVFx44NPgTcV4Km7mCsgkrG/wWtogrh3cOHewuEJEoyMQQMgfyBwIEDXr7om2+WNmwI9px8JWgKubJQSA4O0ovGv7Zv3x7smSTReio1aFzqGjaUKleWInDqSaBjmxgChkCyCDA7pjrSCy8Em53SV4KeNm2aVq5c6apyP/roo4p/UYk7bEklQW/ZIpUpIzVrFuwAho2pHd8QKIgIoEU3aiTdeKP0+efBIeArQRPifeDAAa1bt06rVq067vXtt98GdxZJtpxKgl62zHvCRuC5lCQ6tpkhYAgkiwBrTOSM/te/JNzugnIC8JWg8d5Yu3atYkEpw4YNU6xg7HepWPLMBt1UEjT5ny+/PNinazanaz8bAoZAQAhA0FBaly5S0aJenp0gDuUrQZO5jqx15OKYOXOmLr74Yr3xxhtq0aKFqPAdtqSSoB94QCpbNjrl28PG3o5vCORHBJYskUqV8kyZO3b4f4a+EjQ5N7BDI3Xq1DlGygsXLixQRWPJeHXppVKrVv4PmLVoCBgC0UGAEPBevTxTB253fme785WgiSQcPHiwlixZoquvvlpffPGFjhw54jLbZVfVG7MIXh9kvVu+fLnzBsk4DNQ2/Oqrr7RixYpjZhS2wXMEP+strMwlkFRp0EQZnXKKl2AlQXfsJ0PAEMgHCHz5pZcQ7cEHPbc7P3Pu+ErQEHKHDh30+OOPu4T9YA/xYu4g9WgiWb16tTOFNGzYUFQFX7x4savGEr/P0qVLVbVqVTVq1EjxbnuYUQoXLuwCZOK3z/g+VQT90kvSOedI69dn7IF9NgQMgfyGAHk5Bg6UihSRoDk/a2T7StAAD3Gi4aLVIpS82rZtmwgDz0oOHTrk0pFShYXFRJL8U9Mwfh98rAcNGqSHHnpIzzzzzDGCxlukVq1aog4iUYyJJFUEfcstEq9UJVRJdM72myFgCASPwObNUs2a0m23+auY+U7QuYGCbHevvvqqI2b2JxNemzZtXMALnzGTzJ8/X88++6xGjhwp8k3zIIDYmzdv7swb1DzMjKA//fRT55fN76VLl85N93K0DylHfv97qVOnHO1mGxsChkAaI4BZg+W3yy6TmEH7JZEgaDRlNGZIGqEaS8uWLV3SJT7v379fTzzxhD777DNNmjTpGEGPHTtWL774ovMayYqgIXJIetGiRbr11lv9wi3Ldt59VzrpJC8PR5Yb2Q+GgCGQ7xAgozLZ7i68UKIKix8SCYKGgIk0pMgsAgljy44t+m3cuFHnnXeeypYtq6JFi+rCCy9U//79Va9ePV1//fUqV66cLrjgApUqVUpzKPyXhaTCxNGkiXTyyanJdJXFadrXhoAhEBICFJn9xz+kRx/1pwORIGhMGBAri4M7duxw5g3qGMaS/PM7Nmheb7755jHzB1GLmEf4Ho27X79+x3l3ZIQoaIJmmlO4sFd/0M+V3IznYZ8NAUMgmgiw7vT889KvfiUtWpT3PkaCoDkN8kVjY77qqqucZrx+/XoNGDDABb7En+bUqVPVtWtXR+Tx33fu3DlbT5GgCZr8z9ifBwyI75m9NwQMgYKEAHk6zj/fWzDMawh4ZAg6FQMYNEFT3gqCXrMmFWdjxzAEDIGoIjBhgnTaaZ77XV68uYygfRphTBq1a3v5N8y84ROo1owhkKYIQMqVKnn54PMSD2EE7dMFQP5nkqY0buxTg9aMIWAIpDUCs2ZJZ50ldejwc/AKbrhEHiYbzGIE7dMlQALvc8+VcLMzMQQMAUOAQh1VqkhXXinNnu0V7ujaVXr5ZWnfvuTwMYJODqdstyJZHxUWKCppYggYAoYAZe+mT/fMnlRWwgWXJP94dySbVMkI2ofr6KefJBKlUMF7/34fGrQmDAFDIF8gQM7oF1+U/vhH6aabvLzREHeyYgSdLFIJtmMRAPDbtw+uskKCw9tPhoAhEFEEUNggaMwcJUtKffpIrFclK0bQySKVYLv335cuuUSaOtUSJCWAyX4yBAoUAoR+DxvmpSL99FOJV8WKUt++Er8lI0bQyaCUYBtc6rp3l4oVkwjzNDEEDAFDAATQlCHjpUt/xoP3BLIlq0UbQf+MXa7eETVUt650770SKQdNDAFDwBDwCwEj6DwiidZcrpz03HO2QJhHKG13Q8AQyICAEXQGQHL6cfJk6ZprpLffNvtzTrGz7Q0BQyAxAkbQifFJ+CvudazK3nijtHBhwk3tR0PAEDAEcoyAEXSOIft5h61bvdDuGjX8LXPz8xHsnSFgCBRkBIyg8zD6n3wilS8vdexo/s95gNF2NQQMgSwQMILOAphkvh4/3stWNXo0dROT2cO2MQQMAUMgeQSMoJPH6rgtyUZF/o3ixaX584/7yT4YAoaAIeALAkbQuYRxyxYv/zP+z7w3MQQMAUPAbwSMoHOJKBFBpUtLTz5p7nW5hNB2MwQMgWwQMILOBqDMfqZaAmkE//UvaeTIzLaw7wwBQ8AQyDsCRtC5wJBEJz16SKVKeQlQctGE7WIIGAKGQLYIGEFnC9GJG1C25oEHJPyf9+498Xf7xhAwBAwBPxAwgs4Fihs2ePUHO3Uy97pcwGe7GAKGQJIIGEEnCVT8ZnPnShddZPUH4zGx94aAIeA/AkbQucC0c2fp6qstvDsX0NkuhoAhkAMEjKBzAFZs0woVvGq9Fj0YQ8T+GwKGQBAIRIagt23bpnbt2qlIkSKqVauWvvnmmxPOd/369apbt67q1Kmj7du3a8WKFbr99ttVokQJlS5dWhMnTjxhn/gv/k1V1zwKEYSnny516ZLHhmx3Q8AQMASyQSASBH348GHNnDlTDRs21K5du9SxY0eNGDFC31ES96gcPHhQ48aNU/ny5fX00087gv7hhx/0Ezk/Rbmp5Y6kaSsr8YOgZ86UTj3Vq86b1XHse0PAEDAE/EAgEgS9b98+DR06VD1wLpY0efJkR8Kb42pILVu2TJ06dVKfPn0cgaNBI7t379a0adPc92jWRxLYHfwg6GbNpEKFkq8p5jppfwwBQ8AQyAUCkSBoSLZv37569dVX3SnMnTtXLVu21Ab82UQqz4N66aWXNH78eE2aNOk4gmabzp07q3bt2o7gM2rQmEreeOMNjRw5UmXKlMkFRD/vgrJeuLBUvfrP39k7Q8AQMASCQiASBL13714NHjxYvXr1cueJRow9etOmTe7z1q1bVbx4cXXo0EGPPPKIKlSooClTpggTR0zWrFmjatWqCVt2vGCnpm0eADfffHP8Tzl+v26d9KtfSf365XhX28EQMAQMgRwjEAmC/vHHHx3hNmvWTJg70JYHDhwoiBvBFv3aa69pzJgxat26tapWrap58+Y5MmZfBIKGuL/99lv3ObM/eTVxkHfjpJOklSsza92+MwQMAUPAXwQiQdCcEh4arVq1UpUqVZy54vPPP9fYsWM1Z86c48443sSBKQSvjpo1a+qBBx7QoEGDji0aHrfT0Q95JehataQLLpCOPhMyO4R9ZwgYAoaAbwhEhqCxHePBgU2ZBUC8M9Cg4z05OOsDBw64hUG2//7778VC4saNG91/PieSvBA0TV98sVS/fqIj2G+GgCFgCPiHQGQI2r9TyrqlvBD0hx9Kf/ubNGlS1u3bL4aAIWAI+ImAEXSSaHbtKv3lL9K+fUnuYJsZAoaAIZBHBIygkwAQ97rKlaU8euklcSTbxBAwBAyBnxEwgv4Ziyzf4e13ySVSu3ZZbmI/GAKGgCHgOwJG0ElAOmGCdPbZXpmrJDa3TQwBQ8AQ8AUBI+gkYGzfXrrySmnt2iQ2tk0MAUPAEPAJASPobIA8cMBLLUp5qx07stnYfjYEDAFDwEcEjKCzAXPZMunaa6XevfHBzmZj+9kQMAQMAR8RMILOAkzSUb/xhtSzp7dAuGCBtGiR1KdPFjvY14aAIWAI+IyAEXQWgG7dKjVpIv31r9INN0ijR3uRhNOnZ7GDfW0IGAKGgM8IGEEnAJSkSBUrSpddJl14ofT22wk2tp8MAUPAEPAZASPoBICSubRhQ+mMM6R77zUvjgRQ2U+GgCEQAAJG0FmAevCgNGOG9PDDElW8q1b1AlUwfZgYAoaAIZAKBIygs0B5/Xrp2Wel4cO9/Bv4QD/6qEROaBNDwBAwBFKBgBF0Fijv3CktXSodrRngtiLke+HCLHawrw0BQ8AQ8BkBI2ifAbXmDAFDwBDwCwEjaL+QtHYMAUPAEPAZASNonwG15gwBQ8AQ8AsBI2i/kLR2DAFDwBDwGYECRdBly5bVpk2bcvyiTiJ1D3Ozb9D70Legj5Hb9sHMcMvd9ZZbzIPez+6FnI8nY5Lbe+FK0mgmKScluV1kNytTpoyqVq2a49fVV1+tSpUq5Xi/3Bwrp/tcdNFFkewX53HTTTe5V07PKRXbX3LJJZHE7c4771SRIkUi2TfG5dprrxW1PVMxRjk9Rn68F0qXLp00n6Y9QSd9phk2bNKkiVasWJHh22h8LFWqVDQ6kkkvRo4cKV5RlIrE8EdQ0LZq164dwZ55XWrXrp0WkTUsglLQ7wUjaLsoc4SAEXSO4HIbG0HnHLPYHkbQMSQK2P/+/fsL21sUpVmzZlHsluvTjBkzxCuK0rZt2yh2Szt27FCPHj0i2Tc6NXz4cH311VeR7F9BvxcKrAa9detWHTp0KJIX5bp16yLZLzq1d+9e94piB6P6wP3pp5+0ZcuWKELm+rR9+3YdJFFNBKWg3wsFlqAjeC1alwwBQ8AQOA4BI+jj4LAPhoAhYAhEB4ECRdAHDhzQgAEDhIsdLllPPfVUpKbrP/zwg3Nhu/zyy1W8eHGNGjUqOleKpCNHjmjYsGFi4WbevHmR6tvdd9+tSy+9VFdccYXrX5Q6t2rVKt12220qVKiQmjdvrs2bN0eiezt37lTLli0dZuB2yimnqFu3bpHoG53o3bu3G1NcFPE0iYpJctu2bWrcuLHrW82aNcX4BiUFiqAhwDVr1ihmc8MPetq0aUFhm6t2eYggS5cuFYP/9ddf56qdIHb65JNPHMFAhlEk6CVLlgRx2nlqk4fagw8+qOnTp7sHHOPLdRg1+f7773XNNddEZuGcNaLLLrtM4MX7OnXq6MMPPwwdNsbu7bffVqNGjdw49u3b1ylS+/fvD6RvBYqg4xHkaVyrVi1NmjQp/utIvF+wYIFbWecpjYtWFGTXrl169dVX9cILL6hNmzaRI+h77rlHo0ePdv68UVqQoy8lSpTQF198oc8++0xoX5B21GTKlCmqVq1aZLrF9UaU8MSJEzV+/Hg99thjWr16dej944HBLLJz585i8Xfs2LFuJo7iF4QUSII+fPiw5syZo+rVqzuNOghgc9smN2/Dhg1VpUoVde/eXWg2YQt4ffDBB+rSpYs+/fTTSBJ0p06dHG4NGjQQ7na7d+8OGzZ3/I8//thFEWJOe/TRR4V7JxphlIRrDne2IUOGRKZbP/74ozNrVK5c2d2nrVq1EiaZsAVSZvZYv359p9zRr4ceeigwN8UCSdCLFy8WkYTvv/9+ZOxaGS+8lStXqkWLFo4QM/6W6s/79u1Tx44d3TQTDfr2229X165dI2W/Z4oJ0dBXTDBohFGQ5cuXu/UONOkvv/zSaVtRM6vRt7vuuitSkbVc/8yKGFdMktjK0aajIN99953effddZ69HGWjdunVgil6BI+hly5bpySef1JgxY5x9KwoDHusD0ydeCAsPmDjmzp0b+zm0//jIQngssEaRoNFqYn682Ahr1KjhbqDQAIs7MDfzrbfeKqbskA43NIpBlOStt95yBEgfoyLz589XhQoVnAJFv5iBjBs3LhLdY0bJzJZrrmfPnm7mQXxAEFKgCDqmCV511VVuWoKhf9asWUHgmqs2sWOh2WPiYArF4O/ZsydXbQW10/r16yNn4uAGfv755x1u9erVU9OmTV30XlAY5LTdfv36qW7duu7FmEbFi4PzwJSAeQOFJSpeEvQLwsMkxOIg9wJKVVRwI4sdyhPXGg8OcvoEta5Qq/HzKgAAAg1JREFUoAgaTYtoMxZsmHryioJdK3bD80Qm5JZ+8T9KGk2sj9zE3ChohlERxnXt2rXHxjRqNl4UA25ixpSw76Bu5tyMB33hoRuUBpibPsX2+fbbb51ZCOyitPDLLI3ZEPcp9wLXX1BSoAg6KBCtXUPAEDAEgkDACDoIVK1NQ8AQMAR8QMAI2gcQrQlDwBAwBIJAwAg6CFStTUPAEDAEfEDACNoHEK2J/IUAC6BRcenKX8ja2eQUASPonCJm2+d7BPBqIPGSiSEQNgJG0GGPgB0/cgjECJqABFwyKfMVRZfHyAFnHfIdASNo3yG1BtMdgRhBk1GQoJf33nvvWIRnup+b9T+9EDCCTq/xst6mAAEI+vTTT3cJq0iME8X0oCmAwQ4RAQSMoCMwCNaFaCEAQZ9//vkuKdTkyZOj1TnrTYFCwAi6QA23nWwyCMRMHBRLIO3r7Nmzk9nNtjEEfEfACNp3SK3BdEeA/Aq33HKLy5nx0UcfueoZ5IMwMQRSjYARdKoRt+MZAoaAIZAkAkbQSQJlmxkChoAhkGoEjKBTjbgdzxAwBAyBJBEwgk4SKNvMEDAEDIFUI2AEnWrE7XiGgCFgCCSJgBF0kkDZZoaAIWAIpBoBI+hUI27HMwQMAUMgSQSMoJMEyjYzBAwBQyDVCBhBpxpxO54hYAgYAkkiYASdJFC2mSFgCBgCqUbg/wNb4GuwdG7EYwAAAABJRU5ErkJggg=="
    },
    "ec326343-e3bc-47eb-8e04-5b04c437bdf1.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "e56d8e8c-0b13-4239-953f-7c2921ed91be",
   "metadata": {},
   "source": [
    "K-Means modelinin optimize edilecek hiperparametresi ise kume sayisidir. Bizim icin onemli olan kumeler ici homojenligin maksimum, kumeler arasi heterojenligin de maksimum olmasidir. K-Means modelinin kume sayisini bulmak izlenen matematiksel yol ise;\n",
    "* Her bir gozlem biriminin icinde bulundugu kumenin merkezine olan uzakliklarinin hesaplanmasi ve bunu her bir kume icin gerceklestirilmesi.\n",
    "* Bu sonuclarin toplanmasiyla olusan degere ise SSE dedigimiz hata kareler toplami bulunur. Burada hatadan kastimiz uzaklik olacaktir. \n",
    "* Bu degerin degerlendirilmesine gore optimum kume sayisi bulunacaktir.\n",
    "* Bunun icin cesitli yontemler bulunmaktadir;\n",
    "    * Elbow Methow\n",
    "        * Elbow metodu; noktaların her K değerine göre küme merkezine uzaklıklarının karesi toplamı hesaplanmaktadır. Bu değerlere göre her K değeri için grafik çizilmektedir. Grafik üzerinde toplamlar arasındaki farkın azalmaya başladığı dirsek noktası en uygun K değeri olarak belirlenmektedir.\n",
    "        * ![image.png](attachment:ec326343-e3bc-47eb-8e04-5b04c437bdf1.png)\n",
    "    * Average Silhouette Method\n",
    "        * Silhoutte metodu; her K değeri için kümelerin farklılığına bakmaktadır. Oluşan kümeler için -1 ve 1 arasında değerler üretmektedir. 1'e en yakın K değeri en uygun olarak belirlenmektedir.\n",
    "        * ![image.png](attachment:263fa66e-6669-4227-b915-2c229ae3b525.png)\n",
    "    * GAP Statistic Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3124422e-3d5f-400b-8f52-412846dcf902",
   "metadata": {},
   "source": [
    "* Elbow Metodunu kullanabilmek adina **yellowbrick** adindaki kutuphaneyi install etmemiz gerekiyor.\n",
    "* Install isleminden sonra **yellowbrick.cluster** altindan **KElbowVisualizer** metodunu projemize dahil etmemiz gerekiyor.\n",
    "* Daha sonra bu fonksiyondan bir instance olustururken 1. parametreye KMeans modelimizi, 2. parametreye ise k yi hangi aralikta denenecegini soyluyoruz.\n",
    "* Burada Distortion Score dusuklugu bizim icin iyi olacagi anlamina geliyor. Zaten kume sayisi arttikca her bir gozlem kendi kumesini olusturacagi icin bu sayi git gide dusuyor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "03a1927a-2234-4a92-8c04-28ec92c70b2b",
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collecting yellowbrick\n",
      "  Downloading yellowbrick-1.3.post1-py3-none-any.whl (271 kB)\n",
      "Requirement already satisfied: scipy>=1.0.0 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from yellowbrick) (1.5.2)\n",
      "Requirement already satisfied: scikit-learn>=0.20 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from yellowbrick) (0.23.2)\n",
      "Requirement already satisfied: matplotlib!=3.0.0,>=2.0.2 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from yellowbrick) (3.3.2)\n",
      "Requirement already satisfied: numpy<1.20,>=1.16.0 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from yellowbrick) (1.19.2)\n",
      "Requirement already satisfied: cycler>=0.10.0 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from yellowbrick) (0.10.0)\n",
      "Requirement already satisfied: threadpoolctl>=2.0.0 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from scikit-learn>=0.20->yellowbrick) (2.1.0)\n",
      "Requirement already satisfied: joblib>=0.11 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from scikit-learn>=0.20->yellowbrick) (0.17.0)\n",
      "Requirement already satisfied: python-dateutil>=2.1 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (2.8.1)\n",
      "Requirement already satisfied: pillow>=6.2.0 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (8.0.1)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (1.3.0)\n",
      "Requirement already satisfied: certifi>=2020.06.20 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (2020.6.20)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.3 in c:\\users\\ea\\anaconda3\\lib\\site-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (2.4.7)\n",
      "Requirement already satisfied: six in c:\\users\\ea\\anaconda3\\lib\\site-packages (from cycler>=0.10.0->yellowbrick) (1.15.0)\n",
      "Installing collected packages: yellowbrick\n",
      "Successfully installed yellowbrick-1.3.post1\n"
     ]
    }
   ],
   "source": [
    "!pip install yellowbrick"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b32c3128-636a-4745-9eb2-3efd7bb26c9d",
   "metadata": {},
   "source": [
    "Burada gerceklestirdigimiz islem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "504a3591-9d0f-4206-b2a2-878dccd3ab29",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x396 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Distortion Score Elbow for KMeans Clustering'}, xlabel='k', ylabel='distortion score'>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from yellowbrick.cluster import KElbowVisualizer\n",
    "\n",
    "k_model = KMeans()\n",
    "visualizer = KElbowVisualizer(k_model,k=(2,20))\n",
    "visualizer.fit(df)\n",
    "visualizer.poof()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fca1ea01-bfd1-4b10-8565-ba529d557c10",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "7a7eda86-e816-48c8-8142-491ab3d68d75",
   "metadata": {},
   "source": [
    "K-Means yontemini bir mekanik hesap icin degil de is bilgisiyle birlikte segmentasyon benzeri islemlerde kullaniyorsak elbow yontemlerinin bize sundugu sonuc bir karar destek noktasidir."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d59fdcc-bc40-49be-a374-35b8b572cb77",
   "metadata": {},
   "source": [
    "## **b. Hierarchical Clustering**"
   ]
  },
  {
   "attachments": {
    "62fc4a7c-6e66-44f2-8586-75fe30c26801.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABA8AAAJBCAYAAAApwpz9AAAgAElEQVR4Aey9e9AlyVmfOX94N5ZYGy9CEEAAEg4syVxkWEJeBfb6Fo7d9RLSSmLt8G5IhpUFiwGtbEmMFAIhARsLAgvsVSCwweNFCBwwAo0kpFFPT6vv0z19n0vPpS/TMz0905fp7q/vPdP9fV9u/I7mHVXXZOap+k5dsjKfijiR51RWvfm+z5tZJ/N36pxzm2ODAAQgAAEIQAACEIAABCAAAQhAAAIRArdF6qiCAAQgAAEIQAACEIAABCAAAQhAAAIO8YBOAAEIQAACEIAABCAAAQhAAAIQgECUAOJBFA+VEIAABCAAAQhAAAIQgAAEIAABCCAe0AcgAAEIQAACEIAABCAAAQhAAAIQiBJAPIjioRICEIAABCAAAQhAAAIQgAAEIAABxAP6AAQgAAEIQAACEIAABCAAAQhAAAJRAogHUTxUQgACEIAABCAAAQhAAAIQgAAEIIB4QB+AAAQgAAEIQAACEIAABCAAAQhAIEoA8SCKh0oIQAACEIAABCAAAQhAAAIQgAAEEA/oAxCAAAQgAAEIQAACEIAABCAAAQhECSAeRPFQCQEIQAACEIAABCAAAQhAAAIQgADiAX0AAhCAAAQgAAEIQAACEIAABCAAgSgBxIMoHiohAAEIQAACEIAABCAAAQhAAAIQQDygD0AAAhCAAAQgAAEIQAACEIAABCAQJYB4EMVDJQQgAAEIQAACEIAABCAAAQhAAAKIB/QBCEAAAhCAAAQgAAEIQAACEIAABKIEEA+ieKiEAAQgAAEIQAACEIAABCAAAQhAAPGAPgABCEAAAhCAAAQgAAEIQAACEIBAlADiQRQPlRCAAAQgAAEIQAACEIAABCAAAQggHtAHIAABCEAAAhCAAAQgAAEIQAACEIgSQDyI4qESAhCAAAQgAAEIQAACEIAABCAAAcQD+gAEIAABCEAAAhCAAAQgAAEIQAACUQKIB1E8VEIAAhCAAAQgAAEIQAACEIAABCCAeEAfgAAEIAABCEAAAhCAAAQgAAEIQCBKAPEgiodKCEAAAhCAAAQgAAEIQAACEIAABBAP6AMQgAAEIAABCEAAAhCAAAQgAAEIRAkgHkTxUAkBCEAAAhCAAAQgAAEIQAACEIAA4gF9AAIQgAAEIAABCEAAAhCAAAQgAIEoAcSDKB4qIQABCEAAAhCAAAQgAAEIQAACEEA8oA9AAAIQgAAEIAABCEAAAhCAAAQgECWAeBDFQyUEIAABCEAAAhCAAAQgAAEIQAACiAf0AQhAAAIQgAAEIAABCEAAAhCAAASiBBAPoniohAAEIAABCEAAAhCAAAQgAAEIQADxgD4AAQhAAAIQgAAEIAABCEAAAhCAQJQA4kEUD5UQgAAEhiGwsrLilpeXZw89X11d5QEDbx+wfmIlfYWxEusD1k90XdGDDQIQgAAEILBWAogHayXHeRCAAAQ6InD58mW3a9cut2HDBrd58+bZ83379rn9+/fzgMFLfeDAgQNO/WLnzp1uy5YtbtOmTW7Hjh1uz549TnX0F8ZLvQ+ob2zfvt1t3LjRPfjgg+706dMdXbUwAwEIQAACJRJAPCgx68QMAQgkReDJJ590P//zP+/e/va3u3e9613u9ttvdx/5yEfcL/3SL/GAwUt94Jd/+Zdn/eL973+/+6mf+in3zne+073nPe+Z9R3V6UGfYcxYH/joRz/qfuEXfsH9zM/8jPvxH/9x94lPfGImNCV18cMZCEAAAhCYFAHEg0mlC2chAIEcCRw8eND9yI/8iPuO7/gO9+pXv9q97nWvc9///d/PAwYv6wPf933f577ne77HveY1r3Hf/d3fPesr2vf617/+ZcfShxhD3/u93zvrJ+ojH/7wh2d3IeR4DSUmCEAAAhAYhgDiwTCcaQUCEIBAkIBuNf6hH/ohd9ttt7mv+7qvc2984xvdm9/8ZvejP/qj7m1vexsPGNAH6AOt+8Bb3/pW96Y3vWkmMH3DN3yDe+973+u2bt0avA5RAQEIQAACEJhHAPFgHiHqIQABCPRMQN9Xf8Mb3jATD77t277NffKTn5x9f/3o0aPuyJEj7vDhwzxgcEsfOHTokLMH/YPxUe8Dum48/vjjs9/I+Omf/mn3ile8wr3vfe9z27Zt6/lqhnkIQAACEMiZAOJBztklNghAYBIEquLBd37nd7o/+ZM/mf2w2bVr1xwPGNAH6ANr6QP6IdaTJ0+6D37wg4gHk3gnwEkIQAAC6RNAPEg/R3gIAQhkTqAqHrzqVa9yd911l9PEnw0CEIDAWgnobxkvXbo0+60D7jxYK0XOgwAEIACBKgHEgyoNnkMAAhAYgUBdPPjsZz/rLl68OIInNAkBCORCYHl52V24cAHxIJeEEgcEIACBBAggHiSQBFyAAATKJoB4UHb+iR4CfRC4efMm4kEfYLEJAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRB7yAAAQKJoB4UHDyCR0CPRFAPOgJLGYhAAEIFEwA8aDg5BM6BCCQBgHEgzTygBcQyIkA4kFO2SQWCEAAAmkQQDxIIw94AQEIFEwA8aDg5BM6BHoigHjQE1jMQgACECiYAOJBwckndAhAIA0CiAdp5AEvIJATAcSDnLJJLBCAAATSIIB4kEYe8AICECiYAOJBwckndAj0RADxoCewmIUABCBQMAHEg4KTT+gQgEAaBBAP0sgDXkAgJwKIBzllk1ggAAEIpEEA8SCNPOAFBCBQMAHEg4KTT+gQ6IkA4kFPYDELAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRB7yAAAQKJoB4UHDyCR0CPRFAPOgJLGYhAAEIFEwA8aDg5BM6BCCQBgHEgzTygBcQyIkA4kFO2SQWCEAAAmkQQDxIIw94AQEIFEwA8aDg5BM6BHoigHjQE1jMQgACECiYAOJBwckndAhAIA0CiAdp5AEvIJATAcSDnLJJLBCAAATSIIB4kEYe8AICECiYAOJBwckndAj0RADxoCewmIUABCBQMAHEg4KTT+gQgEAaBBAP0sgDXkAgJwKIBzllk1ggAAEIpEEA8SCNPOAFBCBQMAHEg4KTT+gQ6IkA4kFPYDELAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRB7yAAAQKJoB4UHDyCR0CPRFAPOgJLGYhAAEIFEwA8aDg5BM6BCCQBgHEgzTygBcQyIkA4kFO2SQWCEAAAmkQQDxIIw94AQEIFEwA8aDg5BM6BHoigHjQE1jMQgACECiYAOJBwckndAhAIA0CiAdp5AEvIJATAcSDnLJJLBCAAATSIIB4kEYe8AICECiYAOJBwckndAj0RADxoCewmIUABCBQMAHEg4KTT+gQgEAaBBAP0sgDXkAgJwKIBzllk1ggAAEIpEEA8SCNPOAFBCBQMAHEg4KTT+gQ6IkA4kFPYDELAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRB7yAAAQKJoB4UHDyCR0CPRFAPOgJLGYhAAEIFEwA8aDg5BM6BCCQBgHEgzTygBcQyIkA4kFO2SQWCEAAAmkQQDxIIw94AQEIFEwA8aDg5BM6BHoigHjQE1jMQgACECiYAOJBwckndAhAIA0CiAdp5AEvIJATAcSDnLJJLBCAAATSIIB4kEYe8AICECiYAOJBwckndAj0RADxoCewmIUABCBQMAHEg4KTT+gQgEAaBBAP0sgDXkAgJwKIBzllk1ggAAEIpEEA8SCNPOAFBCBQMAHEg4KTT+gQ6IkA4kFPYDELAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRB7yAAAQKJoB4UHDyCR0CPRFAPOgJLGYhAAEIFEwA8aDg5BM6BCCQBgHEgzTygBcQyIkA4kFO2SQWCEAAAmkQQDxIIw94AQEIFEwA8aDg5BM6BHoigHjQE1jMQgACECiYAOJBwckndAhAIA0CiAdp5AEvIJATAcSDnLJJLBCAAATSIIB4kEYe8AICECiYAOJBwckndAj0RADxoCewmIUABCBQMAHEg4KTT+gQgEAaBBAP0sgDXkAgJwKIBzllk1ggAAEIpEEA8SCNPOAFBCBQMAHEg4KTT+gQ6IkA4kFPYDELAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRB7yAAAQKJoB4UHDyCR0CPRFAPOgJLGYhAAEIFEwA8aDg5BM6BCCQBgHEgzTygBcQyIkA4kFO2SQWCEAAAmkQQDxIIw94AQEIFEwA8aDg5BM6BHoigHjQE1jMQgACECiYAOJBwckndAhAIA0CiAdp5AEvIJATAcSDnLJJLBCAAATSIIB4kEYe8AICECiYAOJBwckndAj0RADxoCewmIUABCBQMAHEg4KTT+gQgEAaBBAP0sgDXkAgJwKIBzllk1ggAAEIpEEA8SCNPOAFBCBQMAHEg4KTT+gQ6IkA4kFPYDELAQhAoGACiAcFJ5/QIQCBNAggHqSRB7yAQE4EEA9yyiaxQAACEEiDAOJBGnnACwhAoGACiAcFJ5/QIdATAcSDnsBiFgIQgEDBBBAPCk4+oUMAAmkQQDxIIw94AYGcCCAe5JRNYoEABCCQBgHEgzTygBcQgEDBBBAPCk4+oUOgJwKIBz2BxSwEIACBggkgHhScfEKHAATSIIB4kEYe8AICORFAPMgpm8QCAQhAIA0CiAdp5AEvIACBggkgHhScfEKHQE8EEA96AotZCEAAAgUTQDwoOPmEDgEIpEEA8SCNPOAFBHIigHiQUzaJBQIQgEAaBBAP0sgDXkAAAgUTQDwoOPmEDoGeCCAe9AQWsxCAAAQKJoB4UHDyCR0CEEiDAOJBGnnACwjkRADxIKdsEgsEIACBNAggHqSRh5d58d4PfcS9/of/gfuu179h9tBz7WODAATyI4B4kF9OiQgCYxNAPBg7A7QPAQhAID8CiAeJ5tREg3qZqLu4lRmB3/h/P+n+zv/45pfEKz3XPrZ+CCAe9MMVqxAomQDiQcnZJ3YIQAAC/RBIQjy46y/uvmWhUl0wa9Hy6T/5TD/RJ2y1yqD6PGGXcS0TArv27n9JNKj2PT3XWGXrngDiQfdMsQiB0gkgHpTeA4gfAnECmtP94//1f3tpzmd3OZ86cyZ+Yg+1mnu+693vfckXzTn1WvuH2FJiMUS8i7SRhHhQ7bj1xYpeqzOP0ZEXAbvouT4O2scGgb4J/M5//INbLt7VvsjdB/3QRzzohytWIVAyAcSDkrNP7FMi8JFf/Y3gvKs6B7Pn+mD1n73z/3Q6Tx+wPnbo8JrCrX492myrlN2ht7pwYP5ojTjElhKLIeJdpI3RxQN1eOsgsbK0uw9CLBZJNueWQ0AX/vqFUBfmJpsEglD/QzxoQrD9MYgH7ZlxBgQgECeAeBDnQy0EUiEQmnO12S8xYcPmrY1Dit1lKltDb/U5azX2vn1JjUXf8S5qf3TxILZQqXacpgufRYGkcn419urzVPzDj7QJVPtM9XkTr2MX0TZvTE3a4pivEkA8oCdAAAJdE0A86Joo9iDQPQHNq6rztEWfa+Hf5E6EWLtjiAexuLunfqvF1Fjc6l16r0YXD6o/yhbrOKor6asLIRbpdSE8SpHAov1Hol51bOo5dx30l2nEg/7YYhkCpRJAPCg188Q9JQKxhWtoLjdvvz7Fb/JbAaFP+8eY74W+tjCUkJESi9T776jiQegTzlACS/rqQujCkHqHwr80CNB/0shDUy8QD5qS4jgIQKApAcSDpqQ4DgLjEehDPNAcsImAkNKPBGpNWBcQ9LqJCNJF9lJi0UU8fdoYVTzw/UCIOrtEAt/iZ6gfzegTeFPbvvi1jw0CTQjQf5pQSucYxIN0coEnEMiFAOJBLpkkjpwJxMQD1dU3fSVBC13fb1vV535aU5V013adFa/7ITCqeFC9Ldo6/Hs/9JFZR7fX9bLJ93hCqCRKSMWqtqvnanMRu2pPg1O/Uq/ba6p3Tkjw0O0/bQdvPW57HYrNt18xqW35VI1ZtvRa+1W/aOz1tmVPF7Vqm004x87zXUDr7YZeS7WUP4rXOKpUnrRPdV0yqKuXaiOknKpfqF+qD9b9k4/qP+qz6lttfKzGWX0eYjS1/WIsZuJTjc/6tXi1HXNjMkA8GJM+bUMgTwKIB3nmlajyItBWPKhGr3mO5rDVeVD9ueZKbBDoksBo4kFosGhRoK1+64oNBi0K2m6yWV3Imq02ZWjxJ1+0AK8KBm3s6lidW99CNurH+V5rkelbiIZsar+Ob7I4rbOU75Yz+aL8xNpRnXjVtybntb0AtuUg+00WnPW+KXa2yYYv/rrv6v91O77z6vt87NS2Yq0f2/S17+tA8rfap/W8HkO9L6g9HRfy0RhZKZ/ri3+dHxvj4tZ0LLfxxXwaq0Q8GIs87UIgXwKIB/nmlsjyIRBaD2lOpbomW+iObZsHNpnfN2kn1WMUn+aOmo9r7mdx67n2qa7J/D7V+OSX5tyah9fnzWN8aDaaeCAAllwrlWTbQgNB0NpsITvWZtMytCDyxdHUZvW4+gWiWld9Pi92xVsdONVz5z3XeXU/6u2JQ92OLZ7bsKguENucp2ObbBpka+Ggc2JCkdqux6/X4qaYfHXaZ4x0/qJ90scg1nbIJ9svEaO+WV29rB4Xa7N6XOi5ry+pPanovi10fN3H+mtdM1J/00A88GWcfRCAwCIEEA8Woce5EBiGgOaP9XmLvZ43J696GJtLh+ZVmsfVP5DRnLAqNvg+6JF/vrlj1Z/qc9+HZfW5rGKtL4z1OsagyZ0XxlLze8Ub2lJiUfVR8ddzZDHVS8UYWq9WbS76fDTxwLewq3YkdYg6FHs9b3FnUATczlm09CVjrYsZny/1weE7Rvti26KLUtmft3j2xayFceyiFYpFF6S1nFdnVWei/hFqs8n+eYtNn43YQlrHV8UDPffZaLNPua5uvrw0tVf1zWyGzrV6lTHO1btRqudUn9ffJKzNemw6Zx5fOzdUVq8tVR9SeY54kEom8AMC+RBAPMgnl0SSL4HYWmXefLdKResm39pK8yItPn1baD5abTc216se57OvfaH4NAesbqF5rPb7NsUbmkeG5oLaH1pDpsTC4g0xicWnunnrGLO/1nIU8UALC1/g9QVHqFOEFLQ6hFBH0EJEnU6bOnWonaqP9c4bGqQauNU4tBAKDeaq/foArNZVn9djtNdaiDdpp2or9Dx0kVFba+3IvrbW6m9M7VRemip0Pp9sXz3fxlmlHVMt58VSXaCH+mXV3rzn9Rwtsrj28Qy1X+Wg5yHW8xbr6q+hNmxsWluxN66QDd/++hgz+ymUiAcpZAEfIJAXAcSDvPJJNHkSCC2uNY9pO2+JfSDnWzSH5qP1dkNz3CbrMR3jm5PV54mh9UVoPh6y62uruq8em/WqlFjIp0Xm9Yq3ztfi7KIcRTzwdW51zPoWAldfONXP0+vQgkM261tICKh2Ni12qlvIN9/gjF0Y1IYvnmrb1edVH6rPfbcE2XkaEFVBQ7FoMIYuBjrP9+mv2gsNbmtLpY6xBaDajbVj5+mY6nnzRJdq7NXnMf9UV82jfAtdLOSPxVC1r+fmc5uyeoGtt6ncKd5635F/MWGrGouet/Gneqwv19X66vM6i9DFW/xim9qs2rXnPiGjzsuOVRuyY3lSqdchQUN2Ut0QD1LNDH5BYLoEEA+mmzs8L4dAbI0QWuiG6GjeaHOkeqm6+haaX9Xb9a3bZN+3fqm3EZqT1f0Jzd+1v74tMuetx2a2U2IRWsPWczrvdShWi3mt5eDigSb4mvTXA/YpJLHOUV9o1QH4OmGsk/sWQb4Oa+34OpkvBjvetwiMJbXOx16bvWoZ4xTzSQx9uVBb8te3+biab7Lly4vitGN8Zei82EUwxC4Uj2+BbPH5cik/Q+f4Yqjukz3joNxIaLLXalMM5adK1ce20HhReyEGslf1p/o81la1rnpO9Xn1GD1XXNX66vNqzPXzQmJXnXnIfqjPqJ0Ys3m8634O9RrxYCjStAOBcgggHpSTayKdLoHYHDk2z/NFHFsP+NY0oflvvd3YfDw21wv5ozlcfQutL3x+hz7A1dyy6o/ar3+oVI/N/EiJRcgXcVM8mudqU1mPrzoPl50+tsHFAwVZDcyea79v8y26dU5sUSw7qjfbVvo+1bQ2fYPX17nteJ+S5rurwY73DYqYP+ZzvTR71dJnW+fFxBI7PzQAdb51TjtWZagtHV8dsNVz9DyUx3nn+TjrnLpiqTZCF7cYZ53ny73aCPUx1YUe89qqc2nyWjZ97fkuqGbPd7z2Nd3anB/KUfVui2q76lch+/U+5xP1dG5srKmtUD8NXWeq/o3xHPFgDOq0CYG8CSAe5J1fosuDQGgOqrlOaKEbizw0v/LNGUOLVF+7WhP5bMfmY6E1hm9+HZq3+fwOHVufQ1Y5af6nGEJrlVRYyD8f55jvijuUnz4+NBtcPAgthEIJD3U8QYptvk7g64BmIzR4rb5e+hLrG2x2nq+jxxQhn33t822+WHVsbECbHXEPteWLxxeHzg8tFK2d0CJw3nmh/uLLZagNn9BgflnpYxDKj+9Y7dMiOtSPrZ21lCHmPgZmP+Sj1c8r25wf8i8kXrUReUKi0zzOofEcYzaPSZ/1iAd90sU2BMokgHhQZt6JeloEQvMVzcN88/B50YXmb775T2j94LeqNVYAACAASURBVGvX96Gs2grdqSw/Q3M437w8NJf0+R06dpGFciosQmuZeWu6EJM+PjQbVDwILVRjn9aGbnlRh/V1PhtUvk7gU7rs+NDgtfp66RucsQT5khpanKotn33t822hY0PqWt2Gj5VsthmwvmOr7fjiD7Wx1vNCcfgugtU29Nz36XlIoArxbtJOvd0mr9fCLuRjk/Z0TJvzY2PUdyEPvQH5xk8bP6qxhXyKXWuq5w/9HPFgaOK0B4H8CSAe5J9jIpw+gdD6Q/OftcwrQ/Mm3zy9zbw55qdvrhda84Xm1m3muqFjJVb4fGnSS1JhERJcUvrQbFDxQIsDX6f2LRqqiQ6BjIkBvo4lO6HNp/SEPjmVDV8ni32K7osh5r+Pk/bVt9AiyXds/Vx7HVrM+S40Pq5qy3es2Vc5xHk+ASDEsen+agz2PHSu1bcpdTGQCKa+oz7VJoYY80V9bHu+r3/Lhk8pDd1aVb8wxvp2yL95+8U4xQ3xIMWs4BMEpk0A8WDa+cP7MgjEFuUpiQfKRmiO6lvHhdZ8obVPm3VC6A5WmwOqjaYfoFov863rZC+Ug75YWAz10vwMlaE5cx8fmg0qHoQSU1801MHEvroQOjfUsXx3K8iGb0ET6uDyzyc2yIZP8QpdGHyDzWKvdxp7bfVWhmzr+KZbmwHb5thq+0OcZ4y6LKsx2POQfatvUqrPiYmv34Xs1/fr/NBWP9Zeh46v77fj62X9OHsdGqN1wS7UX30Xt9CxdZ/avEY8sIxRQgACuRNAPMg9w8SXA4HYXEd1bbfQnMg3Zwyty0Lt+tY+as83h9M+ny++dZhibLtOCC3eq21qDhpba1XZpsAiJABUY2r7vI9572DiQR9ABDDWKXwdS4s1nWOigwZI6FPT0OBRZwvFI1vVgaG2fAtE7TMfqp3Xnoc6h9VbKR+bHmvn1Ms2A7bNsdV2hjgvxGGt+9V/fFvInu9Y3z6poaE+F7Lt2y+moc13vPY13dqeHxoPsqM620JvPL5xHOvbIf/m7Y8JgubjGCV3HoxBnTYhkDcBxIO880t0eRCIzXVi6xBf9LG5mO9O0LYL5tCP+WnuVV/T+OZjWvuEtrbrhBi3etuaz1fXZj4fUmDRJqZ6jKHXkxYPQp9MhoJtut+ndlmnWCQJTWCHOnoT32MLP/kfsmGxWRmL0Y6ZV4bi8PnY5thqu0OcF2K2lv0mMlVjsOche1YfK3Vx7UI4kA++/Fjbi/goG2s5PxRXVRjwCXpqq/6mIx9ifTvkX2y/2m57G5vx7LtEPOibMPYhUB4BxIPyck7E0yMQm+uors2mBXJoHuSz1XbBLF9C87jqXC/kR+wDnLWsE9SO7wPaEINY+ymwiPWFUEzz9sdibtO3qscOdudBaGExL+gm9b6Fh4JUR25yfv0Y+RqyWYWnhNTPbfK6SSJDdqrt63mso9WPDb0OxeFbnK5lcKvdIc4LMfNdMEMsmuwPtdPk3JiIpk/l5Wu9762F3SI+Ko61nB+KzQS+kCJu9XV+XfTtus1UXyMepJoZ/ILAdAkgHkw3d3heDoHYXKft/DU0n9ecrj63FOG1LJhDd5BW1zYhP2Kf/q9lrqsYFFeoPd9c1ncHRiosYn3BF8u8fX19aDaIeBBaNMwLuml9Ve2yy81aE6CFjG+AmV0rQ518ns86r8kWslM/V76Gjq3eLl4/r/o6dPHwcQ3FPS+uIc4LCVRtL75VNr7nId6+Y+v71uLjWtgt4qN8Xsv5sXGufhoSF3z9TD7E+nad69RfIx5MPYP4D4H0CCAepJcTPIJAnUBsvdJm/qo5U+hTeM09fVto/h9rN/TVhepXEnx3J1Trfb6sZa5btaP4ZcPXdnVOKz90bH1LgUWsL9T9HfP1IOJBqENUk7nIc9+g8C3S5IcWMPU6dRgpaU1vaQ4taqSoyU6146qTyr7abbqYV4cI8fB1FrXhOz60KKvaCMUiez4eoVxqf2wb4jwJPz4OIZUx5m+szteG9jXZfOf6+m/V1lrY+dpp6qPaXuv59bFldjQ2QnW+i7jFH+rbvr5p50yxRDyYYtbwGQJpE0A8SDs/eAcBEYgtGGOL+Dq90BxY87DQPHgtC2a1W13n2DxPpeZ6IXGhemdC3Xe9Xstc12dH+8QtNOeUn771UQosYmuyUKxj7B9EPIh1sjZBh26VUUeoLsxD8GOLlDZ+aHBUB4uez1sAtrGvY+v27bXPTuiC0cSn0GBVznxb6Hjtj21DnBdqIxRLzN9YneWiXsbOsbr6OXqtC1ZsC+U3xtzXjvZVx0mszdD5sXNUpzco37mhGLQ/toUu5vPehGI2U6xDPEgxK/gEgWkTQDyYdv7wvgwCXYgHWgz75l7aF/qkXXRDc6x5okVoPab9oTqtnWJbaA4fm+vG7KkuNPf02UyFxRQ+NOtdPAgpUILTdgvZ0uCoqmqhgagFR9PFU8y3UAeXD10JFKGLgM+v2EWjyqV+rniGOqlvYOn8UOyh463NIc6L9Y8uF5ttcmPxW+k7N3Zhl9++c7QvxjyUV5/aar5Vy1Cb1WN8zzW+Quf69s/zJyRGyNa8c33+pboP8SDVzOAXBKZLAPFgurnD83IIhNYsmufMW8RrzRFarNucKzZXXOuCOTTf1od1vk/8m6z51rpOiPWUEFsfk1RYhPzoch0TY9akrnfxINSp1wohdBdD/VP20OLJBpOVOk6Jsof80qIkJgKEBo3ZrJby12yrFI956psSV7VRfe5LqnyNxauY5LNtWuBp4ITO0f6QyLLWwT3Ueb6LlvETf19uFasuMFqoSqVU/LFPxM1evTS+sTLWf6tvEuoj8rfeRvW17+JnbYfOVfvWFxS3eFTbtfOr7VSfW32sjOWgakvPY+NMbai+fk71tfq2bzwpRsUlRsYiJqTF4hmiDvFgCMq0AYGyCCAelJVvop0mAc1VqvOa6nPf/ExzN817tJ4IzePNhuZjsXmWzY/seCt97dbphuazZqNaNlnztVkn6Fi175v/Vf3UHLfqhz33zZ9TYTGFD816Fw9CnWtewqvJrz5XB7Tk18vqgjfUYernxF5rYIYGXcyPmE2r04CPLWbsuHpZZVF9Hhp09fObvPYNKmsr1E7sHJ071Hmxi3CT2KvHWMz1snpM9Xn9ON/rRftNtb0Y85BoVz3fnvsu6lZXL30x1ffFLnxVezGBpmoz1Heqtpo81xtDqhviQaqZwS8ITJcA4sF0c4fn5RDoct5anQtpnWEfFoVoLrJgbjPPbLLmC831fHPdqt9aZ2reWY3VPhwLiSs+f6o2qxybCCldspjCh2a9igehAaFkrnVTwqtJrT5X8qpbFwJC/Y6Gqv0uFoJ1n81+Na7qc6v3laGOXz1/3nPfQrLaVpvBPdZ5XeRFnEJbiGHo+Op+XdBC58f2+z7N911Qra3Q2PO1oX5T33zHaV+TrWmMGp9NNl1IffGHfAzt98XZpP0hjkE8GIIybUCgLAKIB2Xlm2inSaDNfC00v6nvbyIciFZo3dBkwazFer1d3+uma74264uQ37726/tC/oRspsSiHsu8133Ne3sVD0IdYd4Cdd7wV+J9wKoLfXXq0HG+c2P7fIu0LoQJa9PXMa2uXsbYaJEV6vx1O77XTfISyqmPUdXXoc9bVEAIXVwUk4+d9jXdQix8duWH+prvnHnMm/YF3x0APl/axNhksR+6q8fHsQsBwRenr60x9iEejEGdNiGQNwHEg7zzS3R5EOhaPNBcp+n8KjRP9K1LfLRDd5dX55BN1hay7Zvnyo5vrhvyu9pu6Hnoru+QzTFYdDHnVfyKqY+tV/HAt8BWR6veWrKWoNSRfMKALQ66gm4dr76Q7FKYUBvmd5WF9ln7VvqOq55jz0N8zE69VE58t/CYvWqp4+oXiybnd3meFqZN+pCvzXrsodexi90iuTGWTW7tr8ZZH0vqk/Ny1nQc+C6ki8ao/IQuxOovimctW9u+Xc3vWttci59tz0E8aEuM4yEAgXkEEA/mEaIeAmkQqM5V1vpc89amC12LOjRPa2qnye368+aq5ovmd77Ytb++NWnXZys2t0+JheJtOof3xWn7mq4b63znve5VPJjXeF/1oQ5YXYxV29ZCR5071HGUhOpiNXSckqRk1zcNQi1c6otuS25dnKifv5bX8kNtaqD4PgVWDKprOqjX4kMq5yhGXWgUs090Eh/jUf/eVJ8x6PZ+9dV6f9LrLhe6sqW+WY1dz9WOTzjoM+YubFf7dp2djSnt10N5V/xinfKGeJBydvANAtMkgHgwzbzhdXkE2i6GbY6jOaTmuL61RxOKOr86N9QcSnPipnMmtVufX9o8THYVV9NNcdTXSaEPJ9VuaP5n7VdL+TJvvZMSiyozn1/V2GLPu1xLVH3KUjyodz4DO28wqDPWB5GdayqcbNi+aqk2522yUT2n+nzeudRDAAL5EkA8yDe3RAaBsQggHoxFnnYhAIEhCGhNpg/BJCTU134SQfQhaV8L6CHisza0PlUciickmpigNMSHZlmKB9VFuT0X1Cab71N62TDhISQASBmatyn55k+1bCI8zLNNPQQgMF0CiAfTzR2eQyBVAogHqWYGvyAAAQhMl0Ax4kGTBXpIGKieGzpGatC8TQJDVTSw503OnWebeghAYLoEEA+mmzs8h0CqBBAPUs0MfkEAAhCYLoEsxYPQVw9094Hv+88SBGLfN6reVaDfPrBFf72UCFD/7pHuNtA+fSeofry9VvtsEIBAuQQQD8rNPZFDoC8CiAd9kcUuBCAAgXIJZCkehD7ht8V6m1JfY6hvoe+btLFrx7b5MZG6H7yGAATyIIB4kEceiQICKRFAPEgpG/gCAQhAIA8CWYoHSk3otwts0d6klEigOwfqm37/IHR3QxO7dgzCQZ0sryFQJgHEgzLzTtQQ6JMA4kGfdLENAQhAoEwC2YoHSqfuQFjLIl+/cTDv1zklKuhrCiYEtCklSvBVhTIHHFFDwEcA8cBHhX0QgMAiBBAPFqHHuRCAAAQg4COQtXhgAes3B/QpvxbtEgbqC33tU53EBv2mQZtNIkL17zN8YoXugtBvHujvROxfG9q0wbEQgEDeBBAP8s4v0UFgDAKIB2NQp00IQAACeRMoQjzIO4VEBwEITJ0A4sHUM4j/EEiPAOJBejnBIwhAAAJTJ4B4MPUM4j8EIDB5AogHk08hAUAgOQKIB8mlBIcgAAEITJ4A4sHkU0gAEIDA1AkgHkw9g/gPgfQIIB6klxM8ggAEIDB1AogHU88g/kMAApMngHgw+RQSAASSI4B4kFxKcAgCEIDA5AkgHkw+hQQAAQhMnQDiwdQziP8QSI8A4kF6OcEjCEAAAlMngHgw9QziPwQgMHkCiAeTTyEBQCA5AogHyaUEhyAAAQhMngDiweRTSAAQgMDUCSAeTD2D+A+B9AggHqSXEzyCAAQgMHUCiAdTzyD+QwACkyeAeDD5FBIABJIjgHiQXEpwCAIQgMDkCSAeTD6FBAABCEydAOLB1DOI/xBIjwDiQXo5wSMIQAACUyeAeDD1DOI/BCAweQKIB5NPIQFAIDkCiAfJpQSHIAABCEyeAOLB5FNIABCAwNQJIB5MPYP4D4H0CCAepJcTPIIABCAwdQKIB1PPIP5DAAKTJ4B4MPkUEgAEkiOAeJBcSnAIAhCAwOQJIB5MPoUEAAEITJ0A4sHUM4j/EEiPAOJBejnBIwhAAAJTJ4B4MPUM4j8EIDB5AogHk08hAUAgOQKIB8mlBIcgAAEITJ4A4sHkU0gAEIDA1AkgHkw9g/gPgfQIIB6klxM8ggAEIDB1AogHU88g/kMAApMngHgw+RQSAASSI4B4kFxKcAgCEIDA5AkgHkw+hQQAAQhMnQDiwdQziP8QSI8A4kF6OcEjCEAAAlMngHgw9QziPwQgMHkCiAeTTyEBQCA5AogHyaUEhyAAAQhMngDiweRTSAAQgMDUCSAeTD2D+A+B9AggHqSXEzyCAAQgMHUCiAdTzyD+QwACkyeAeDD5FBIABJIjgHiQXEpwCAIQgMDkCSAeTD6FBAABCEydAOLB1DOI/xBIjwDiQXo5wSMIQAACUyeAeDD1DOI/BCAweQKIB5NPIQFAIDkCiAfJpQSHIAABCEyeAOLB5FNIABCAwNQJIB5MPYP4D4H0CCAepJcTPIIABCAwdQKIB1PPYCb+X3rqfCaREAYE2hNAPGjPjDMgAIE4AcSDOB9qIQABCECgPQHEg/bMOKNjAsvP33Sf+pu/6q6evtSxZcxBYBoEEA+mkSe8hMCUCCAeTClb+AoBCEBgGgQQD6aRp6y9PPDJre63v+F2t+1Dn886ToKDQIgA4kGIDPshAIG1EkA8WCs5zoMABCAAgRABxIMQGfYPQkB3Hfyn1/7KTDz43W/5EHcfDEKdRlIjgHiQWkbwBwLTJ4B4MP0cEgEEIACB1AggHqSWkcL8sbsOdOcBdx8UlnzCfYkA4sFLKHgCAQh0RADxoCOQmIEABCAAgZcIIB68hIInQxOo3nVg4gF3HwydBdpLgQDiQQpZwAcI5EUA8SCvfBINBCAAgRQIIB6kkIVCfajfdWACAr99UGiHKDhsxIOCk0/oEOiJAOJBT2AxCwEIjE5g16/d4+Y9RncyUwcQDzJNbOph+e46MPGAuw9Szx7+dU0A8aBrotiDAAQQD+gDEIBArgRszRArc4197LgQD8bOQKHth+46sIsAdx8U2jEKDRvxoNDEEzYEeiSAeNAjXExDAAKjErD1Qqwc1cGMG0c8yDi5qYYWu+vALgLcfZBq9vCrDwKIB31QxSYEyiaAeFB2/okeAjkTsPVCrMw5/jFjQzwYk36hbc+768AuBNx9UGgHKTBsxIMCk07IEOiZAOJBz4AxDwEIjEbA1gqxcjTnMm8Y8SDzBKcWXpO7DuxCwN0HqWUPf/oigHjQF1nsQqBcAogH5eaeyCGQOwFbK8TK3BmMFR/iwVjkC2236V0HdjHg7oNCO0phYSMeFJZwwoXAAAQQDwaATBMQgMAoBGydECtHcayARhEPCkhyKiG2uevALgbcfZBK9vCjTwKIB33SxTYEyiSAeFBm3okaAiUQsHVCrCyBwxgxIh6MQb3QNtvedWAXBO4+KLTDFBQ24kFBySZUCAxEAPFgINA0AwEIDE7A1gixcnCnCmkQ8aCQRI8d5lruOrALAncfjJ092u+bAOJB34SxD4HyCCAelJdzIoZAKQRsjRArS2ExdJyIB0MTL7S9td51YBcF7j4otOMUEjbiQSGJJkwIDEgA8WBA2DQFAQgMSsDWB7FyUIcKagzxoKBkjxXqIncd2EWBuw/Gyh7tDkEA8WAIyrQBgbIIIB6UlW+ihUBJBGx9ECtL4jFkrIgHQ9IutK1F7zqwCwN3HxTagQoIG/GggCQTIgQGJoB4MDBwmoMABAYjYGuDWDmYM4U1hHhQWMKHDreLuw7swsDdB0Nnj/aGIoB4MBRp2oFAOQQQD8rJNZFCoDQCtjaIlaUxGSpexIOhSBfaTld3HdjFgbsPCu1ImYeNeJB5ggkPAiMQQDwYATpNQgACgxCwdUGsHMSRAhtBPCgw6UOF3OVdB3Zx4O6DobJHO0MSQDwYkjZtQaAMAogHZeSZKCFQIgFbF8TKErkMETPiwRCUC22j67sO7ALB3QeFdqiMw0Y8yDi5hAaBkQggHowEnmYhAIHeCdiaIFb27kShDSAeFJr4vsPu464Du0Bw90Hf2cP+0AQQD4YmTnsQyJ8A4kH+OSZCCJRKwNYEsbJUNn3HjXjQN+FC7fd114FdJLj7oNCOlWnYiAeZJpawIDAiAcSDEeHTNAQg0CsBWw/Eyl4dKNg44kHBye8r9D7vOrCLBHcf9JU97I5BAPFgDOq0CYG8CSAe5J1fooNAyQRsPRArS+bTZ+yIB33SLdR233cd2IWCuw8K7WAZho14kGFSCQkCIxNAPBg5ATQPAQj0RsDWArGyt8YLN4x4UHgH6CP8h+/Y4Xb92j3RR2ywW908G3t/a2Mf7mMTAoMTQDwYHDkNQiB7AogH2aeYACFQLAFbK8TKYuH0HDjiQc+AMe8nEBvsVuc/k70QyI8A4kF+OSUiCIxNAPFg7AzQPgQg0BcBWyvEyr7aLt0u4kHpPWCk+GOD3epGco1mITA4AcSDwZHTIASyJ4B4kH2KCRACxRKwtUKsLBZOz4EjHvQMGPN+ArHBbnX+M9kLgfwIIB7kl1MigsDYBBAPxs4A7UMAAn0RsLVCrOyr7dLtIh6U3gNGij822K1uJNdoFgKDE0A8GBw5DUIgewKIB9mnmAAhUCwBWyvEymLh9Bw44kHPgDHvJxAb7FbnP5O9EMiPAOJBfjklIgiMTQDxYOwM0D4EINAXAVsrxMq+2i7dLuJB6T1gpPhjg93qRnKNZiEwOAHEg8GR0yAEsieAeJB9igkQAsUSsLVCrCwWTs+BIx70DBjzfgKxwW51/jPZC4H8CCAe5JdTIoLA2AQQD8bOAO1DAAJ9EbC1Qqzsq+3S7SIelN4DRoo/NtitbiTXaBYCgxNAPBgcOQ1CIHsCiAfZp5gAIVAsAVsrxMpi4fQcOOJBz4Ax7ycQG+xW5z+TvRDIjwDiQX45JSIIjE0A8WDsDNA+BCDQFwFbK8TKvtou3S7iQek9YKT4Y4Pd6kZyjWYhMDgBxIPBkdMgBLIngHiQfYoJEALFErC1QqwsFk7PgSMe9AwY834CscFudf4z2QuB/AggHuSXUyKCwNgEEA/GzgDtQwACfRGwtUKs7Kvt0u0iHpTeA0aKPzbYrW4k12gWAoMTQDwYHDkNQiB7AogH2aeYACFQLAFbK8TKYuH0HDjiQc+AMe8nEBvsVuc/k70QyI8A4kF+OSUiCIxNAPFg7AzQPgQg0BcBWyvEyr7aLt0u4kHpPWCk+GOD3epGco1mITA4AcSDwZHTIASyJ4B4kH2KCRACxRKwtUKsLBZOz4EjHvQMGPN+ArHBbnX+M9kLgfwIIB7kl1MigsDYBBAPxs4A7UMAAn0RsLVCrOyr7dLtIh6U3gNGij822K1uJNdoFgKDE0A8GBw5DUIgewKIB9mnmAAhUCwBWyvEymLh9Bw44kHPgDHvJxAb7FbnP5O9EMiPAOJBfjklIgiMTQDxYOwM0D4EINAXAVsrxMq+2i7dLuJB6T1gpPhjg93qRnKNZiEwOAHEg8GR0yAEsieAeJB9igkQAsUSsLVCrCwWTs+BIx70DBjzfgKxwW51/jPZC4H8CCAe5JdTIoLA2AQQD8bOAO1DAAJ9EbC1Qqzsq+3S7SIelN4DRoo/NtitbiTXaBYCgxNAPBgcOQ1CIHsCiAfZp5gAIVAsAVsrxMpi4fQcOOJBz4Ax7ycQG+xW5z+TvRDIjwDiQX45JSIIjE0A8WDsDNA+BCDQFwFbK8TKvtou3S7iQek9YKT4Y4Pd6kZyjWYhMDgBxIPBkdMgBLIngHiQfYoJEALFErC1QqwsFk7PgSMe9AwY834CscFudf4z2QuB/AggHuSXUyKCwNgEEA/GzgDtQwACfRGwtUKs7Kvt0u0iHpTeA0aKPzbYrW4k12gWAoMTQDwYHDkNQiB7AogH2aeYACFQLAFbK8TKYuH0HDjiQc+AMe8nEBvsVuc/k70QyI8A4kF+OSUiCIxNAPFg7AzQPgQg0BcBWyvEyr7aLt0u4kHpPWCk+GOD3epGco1mITA4AcSDwZHTIASyJ4B4kH2KCRACxRKwtUKsLBZOz4EjHvQMGPN+ArHBbnX+M9kLgfwIIB7kl1MigsDYBBAPxs4A7UMAAn0RsLVCrOyr7dLtIh6U3gNGij822K1uJNdoFgKDE0A8GBw5DUIgewKIB9mnmAAhUCwBWyvEymLh9Bw44kHPgDHvJxAb7FbnP5O9EMiPAOJBfjklIgiMTQDxYOwM0D4EINAXAVsrxMq+2i7dLuJB6T1gpPhjg93qRnKNZiEwOAHEg8GR0yAEsieAeJB9igkQAsUSsLVCrCwWTs+BIx70DBjzfgKxwW51/jPZC4H8CCAe5JdTIoLA2AQQD8bOAO1DAAJ9EbC1Qqzsq+3S7SIelN4DRoo/NtitbiTXaBYCgxNAPBgcOQ1CIHsCiAfZp5gAIVAsAVsrxMpi4fQcOOJBz4Ax7ycQG+xW5z+TvRDIjwDiQX45JSIIjE0A8WDsDNA+BCDQFwFbK8TKvtou3S7iQek9YKT4Y4Pd6kZyjWYhMDgBxIPBkdMgBLIncHN52V24cMF9+MMfdq94xSvcv37/+92W7duzj5sAIQCB/AnYWiFW5k9hnAgRD8bhXnyrscFudcVDAkAxBBAPikk1gUJgMAISD5YuXnK/8OFfdH/1Fa9w7/65n3MbEQ8G409DEIBAfwRsrRAr+2u9bMuIB2Xnf7ToY4Pd6kZzjoYhMDABxIOBgdNckgRWV2645atn3PNnDrqrJ+5z156+z1175n537Znd7tozu3i0YfDsbnfl6fvducc2ubs/+C/c//2qr3d3/cT/7g794e8799B+t3pgj1s9sJtHWwb7d7nVvTvc6u5tbnXXNueePOrcjReSHE84BYGcCdhaIVbmHP+YsSEejEm/4LZjg93qCsZD6IURQDwoLOGE6yWweuOae/7so+7iY59yZ3d/yJ3d9QF3bvfPu3O7P8yjLYM9v+jO7foF99zG292z7/vv3VOv/a/cyTf/LXfxfT/mVn/rl93Kxz/iVv7NL/JozeDDbuXffMit/PrtbuVX3+9W77nLuatXvP2ZnRCAQH8EbK0QK/trvWzLiAdl53+06GOD3epGc46GITAwAcSDgYHTXJIEVl647K49u8Od2/Oz7uS6V7mTd7/SnfzSt7hn7/5WHmtgcPKL3+rO3Pkt7tLP/FX3wuv+C/fCD/wVd+NvfZNb/tvf5pZ/+FvdTR6tGYjb8t/9Zrf8917pln/4lW7lN3/euaVzSY4nnIJAzgRsrRArc45/zNgQD8akKRcjwwAAIABJREFUX3DbscFudQXjIfTCCCAeFJZwwvUSWLlxxV07tdOd3f1Od/LL3+pOb/hBd/b+t7ulB37OXXjwg+7CAx/g0ZTBgx9wFw58wF3e8wH3/J0fcKsf+6Bb+fUP3PJY/vUPOB5NGXzQLX/sA27loz/tln/sjW75H/wlt/L3b3Orv/2vnLvwnLc/sxMCEOiPgK0VYmV/rZdtGfGg7PyPFn1ssFvdaM7RMAQGJoB4MDBwmkuSwOrNq+75M3vd+T0/4U7e8xr33I53ucvHvuRuXDzhbl4+425eOsWjIYMbl085PW5ePOWWz51yK6dPuZUzp9zq7HHarZ7h0YrBc2fc6umTbvXRB9zKv/1Zt/zWv+xW/tlfcqv/+XbnLp1NcjzhFARyJmBrhViZc/xjxoZ4MCb9gtuODXarKxgPoRdGAPGgsIQTrpfA6k395sF+d37vT7hT61/nzu1+t7v2zBa38sJFpx9TXF1+gUdDBivLLzg9Zsz0g34v2ONG5bnto/wanxCLG85dv+7cs0+6ld/5Obf81m90y2//Trf6px9z7vJ5b39mJwQg0B8BWyvEyv5aL9sy4kHZ+R8t+thgt7rRnKNhCAxMAPFgYOA0lyQBiQcvnD3gzu/9yRfFg/e46ye3u9Xl60n6i1OFEVhZce65Z9zq797ult/6TW75n/91t/qZ33Tu8lJhIAgXAuMTsLVCrBzfyzw9QDzIM6/JRxUb7FaXfBA4CIGOCCAedAQSM5MmgHgw6fTl77zEgzMn3Orv3O6W3/JNbvkd3+1WP/NxxIP8M0+ECRKwtUKsTNDtLFxCPMgijdMLIjbYrW56UeExBNZGAPFgbdw4Ky8CiAd55TO7aBAPskspAU2XgK0VYuV0o0vbc8SDtPOTrXexwW512QZPYBCoEUA8qAHhZZEEEA+KTPt0gkY8mE6u8DR7ArZWiJXZQxgpQMSDkcCX3mxssFtd6YyIvxwCiAfl5JpIwwQQD8JsqEmAAOJBAknABQh8lYCtFWIlrPohgHjQD1esziEQG+xWN8cE1RDIhgDiQTapJJAFCCAeLACPU/sngHjQP2NagEBDArZWiJUNTXFYSwKIBy2BcXg3BGKD3eq6aQkrEEifAOJB+jnCw/4JIB70z5gWFiCAeLAAPE6FQLcEbK0QK7ttEWtGAPHASFAOSiA22K1uUIdoDAIjEkA8GBE+TSdDAPEgmVTgiI8A4oGPCvsgMAoBWyvEylEcK6BRxIMCkpxiiLHBbnUp+o1PEOiDAOJBH1SxOTUCiAdTy1hh/iIeFJZwwk2ZgK0VYmXK/k/ZN8SDKWdvwr7HBrvVTTg8XIdAKwKIB61wcXCmBBAPMk1sLmEhHuSSSeLIgICtFWJlBmEmGQLiQZJpyd+p2GC3uvwpECEEvkoA8YCeAAHnEA/oBUkTQDxIOj04VxYBWyvEyrKIDBct4sFwrGmpQiA22K2ucjhPIZA1AcSDrNNLcA0JIB40BMVh4xBAPBiHO61CwEPA1gqx0nMauzoggHjQAURMtCcQG+xW194qZ0BgmgQQD6aZN7zulgDiQbc8sdYxAcSDjoFiDgJrJ2BrhVi5duucGSOAeBCjQ11vBGKD3ep6axzDEEiMAOJBYgnBnVEIIB6Mgp1GmxJAPGhKiuMg0DsBWyvEyt6dKLQBxINCEz922LHBbnVj+0j7EBiKAOLBUKRpJ2UCiAcpZwffHOIBnQACyRCwtUKsTMbZzBxBPMgsoVMJJzbYrW4qseAnBBYlgHiwKEHOz4EA4kEOWcw4BsSDjJNLaFMjYGuFWDm1mKbiL+LBVDKVmZ+xwW51mYVMOBAIEkA8CKKhoiACiAcFJXuKoSIeTDFr+JwpAVsrxMpMQx89LMSD0VNQpgOxwW51ZZIh6hIJIB6UmHVirhNAPKgT4XVSBBAPkkoHzpRNwNYKsbJsQv1Fj3jQH1ssRwjEBrvVRU6nCgJZEUA8yCqdBLNGAogHawTHacMQQDwYhjOtQKABAVsrxMoGZjhkDQQQD9YAjVMWJxAb7Fa3eCtYgMA0CCAeTCNPeNkvAcSDfvlifUECiAcLAuR0CHRHwNYKsbK71rBUJYB4UKXB88EIxAa71Q3mDA1BYGQCDz14wL3hh/5bd9ttt7lXffu3u8/f9Vl35fKlkb2ieQgMSwDxYFjetNaSAOJBS2AcDoH+CNhaIVb213rZlhEPys7/aNHHBrvVjeYcDY9KYHll1V2+vuzOXL7hTly44U5dvDF7/tzlmy7Hx9L1Fbd5/8PuB9/8o+62V/919+1/+++6T33+i+6J02fcc1evv/i45p67ms/jzNVr7tTVa+7E5avu+OUr7tTV6+768vKo/Y7GxyeAeDB+DvAgQgDxIAKHKggMS8DWCrFyWI/KaQ3xoJxcJxVpbLBbXVIO48xgBK69sOwefeaqW/fIkvujPWfd5x9ccusfWXKbHr/oNmb42Hr4kvu9+464137s991t7/sV980f/bj76LrN7nMHD7t7jz3t1j+hx/GsHvc8cdz9xeEn3R8ePOz+08OH3F8cPe6evXJ1sD5GQ2kSQDxIMy949SIBxAO6AgSSIWBrhViZjLOZOYJ4kFlCpxJObLBb3VRiwc9uCVy6tux2HLrofmnjKfeP7jzu/vGfPe3e9OdPu7d89oT7XzJ8vOWzz7i/d+ch9/V3rHO3/Yc73X95x5+5H7rrXvc/rdvm3rRhh3vTvXrcl9ljh/uf793u/uH67e4frb/P/cudB9y+cxe67UhYmxwBxIPJpawshxEPyso30SZNwNYKsTLpACbsHOLBhJM3Zddjg93qphwfvq+dwIWrN93Gh8+7H/vCCfdf//uj7rv+v2Pu+z/9pPvBTz81e/zAp59yeT2Ou9f/5yPub9y1y73uC1vc3/iLTe71f7HJ/c0v5vv4gS9ucq/5wkb3l//8HvdX/uwe9w833Oc2nT679k7DmVkQQDzIIo35BoF4kG9uiWxyBGytECsnF9REHEY8mEiicnMzNtitLreYiacZgQvXlt3mg0vuHZ8/4V75+8fcu7/8rPvdnc+5Pz5w3v3RgfPu0/vzevzh/vPuU/vOuN/ffcT9h10H3e/tOejuePAx9wePHHZ/8MiRrB6feuSI+9SjR9wdjx52v7jnIffXvrDR/TefWef+yVfud/efOdesg3BUtgQQD7JNbR6BIR7kkUeiyIKArRViZRaBJhgE4kGCSSnBpdhgt7oSOBDjywm8JB587oT79juOud/ZddY9ePyyO37uefdUho8nzz3vjp295o6cWnKHTp5zh0+dc0fPLrknli64J5YuZvk4cv6C++yTJ9wPfnmr+8Y717kf27Lb7T17/uWdgT1FEUA8KCrd0wsW8WB6OcPjbAnYWiFWZhv8yIEhHoycgFKbjw12qyuVTelxf1U8uODecdcJ9+o7jrnPHFxy5y694FZXXeaPVbeyuupWC3jcXF5xO59bcm+8Z7t75Z/e7d61dY/bd3ap9K5ffPyIB8V3gbQBIB6knR+8K4qArRViZVFABgwW8WBA2DT1NQKxwW51XzuaZyUReJl48PBXxYOSGOQe6/KKxIPz7o3rtr0oHux2+7jzIPe0z40P8WAuIg4YkwDiwZj0aRsCtxCwtUKsvOUEXnRGAPGgM5QYakMgNtitro09js2HQFU8eNUdx9ydiAf5JPfFSG4iHmSX0y4CQjzogiI2eiOAeNAbWgxDoC0BWyvEyrY2Ob4ZAcSDZpw4qmMCscFudR03ibmJEEA8mEiiFnAT8WABeBmfiniQcXJzCA3xIIcsEkMmBGytECszCTW5MBAPkktJGQ7FBrvVlUGCKOsEEA/qRPJ7jXiQX067iAjxoAuK2OiNAOJBb2gxDIG2BGytECvb2uT4ZgQQD5px4qiOCcQGu9V13CTmJkIA8WAiiVrATcSDBeBlfCriQcbJzSE0xIMcskgMmRCwtUKszCTU5MJAPEguJWU4FBvsVlcGCaKsE0A8qBPJ7zXiQX457SIixIMuKGKjNwKIB72hxTAE2hKwtUKsbGuT45sRQDxoxomjOiYQG+xW13GTmJsIAcSDiSRqATcRDxaAl/GpiAcZJzeH0BAPcsgiMWRCwNYKsTKTUJMLA/EguZSU4VBssFtdGSSIsk4A8aBOJL/XiAf55bSLiBAPuqCIjd4IIB70hhbDEGhLwNYKsbKtTY5vRgDxoBknjuqYQGywW13HTWJuIgQQDyaSqAXcRDxYAF7GpyIeZJzcHEJDPMghi8SQCQFbK8TKTEJNLgzEg+RSUoZDscFudWWQIMo6AcSDOpH8XiMe5JfTLiJCPOiCIjZ6I4B40BtaDEOgLQFbK8TKtjY5vhkBxINmnDiqYwKxwW51HTeJuYkQQDyYSKIWcBPxYAF4GZ+KeJBxcnMIDfEghywSQyYEbK0QKzMJNbkwEA+SS0kZDsUGu9WVQYIo6wQQD+pE8nuNeJBfTruICPGgC4rY6I0A4kFvaDEMgbYEbK0QK9va5PhmBBAPmnHiqI4JxAa71XXcJOYmQgDxYCKJWsBNxIMF4GV8KuJBxsnNITTEgxyySAyZELC1QqzMJNTkwkA8SC4lZTgUG+xWVwYJoqwTQDyoE8nvNeJBfjntIiLEgy4oYqM3AogHvaHFMATaErC1Qqxsa5PjmxFAPGjGiaM6JhAb7FbXcZOYmwgBxIOJJGoBNxEPFoCX8amIBxknN4fQEA9yyCIxZELA1gqxMpNQkwsD8SC5lJThUGywW10ZJIiyTgDxoE4kv9eIB/nltIuIEA+6oIiN3gggHvSGFsMQaEvA1gqxsq1Njm9GAPGgGSeO6phAbLBbXcdNYm4iBBAPJpKoBdxEPFgAXsanIh5knNwcQkM8yCGLxJAJAVsrxMpMQk0uDMSD5FJShkOxwW51ZZAgyjoBxIM6kfxeIx7kl9MuIkI86IIiNnojgHjQG1oMQ6AtAVsrxMq2Njm+GQHEg2acOKpjArHBbnUdN4m5iRBAPJhIohZwE/FgAXgZn4p4kHFycwgN8SCHLBJDJgRsrRArMwk1uTAQD5JLSRkOxQa71ZVBgijrBBAP6kTye414kF9Ou4gI8aALitjojQDiQW9oMQyBtgRsrRAr29rk+GYEEA+aceKojgnEBrvVddwk5iZCAPFgIolawE3EgwXgZXwq4kHGyc0hNMSDHLJIDJkQsLVCrMwk1OTCQDxILiVlOBQb7FZXBgmirBNAPKgTye814kF+Oe0iIsSDLihiozcCiAe9ocUwBNoSsLVCrGxrk+ObEUA8aMaJozomEBvsVtdxk5ibCAHEg4kkagE3EQ8WgJfxqYgHGSc3h9AQD3LIIjFkQsDWCrEyk1CTCwPxILmUlOFQbLBbXRkkiLJOAPGgTiS/14gH+eW0i4gQD7qgiI3eCCAe9IYWwxBoS8DWCrGyrU2Ob0YA8aAZJ47qmEBssFtdx01ibiIEEA8mkqgF3EQ8WABexqciHmSc3BxCQzzIIYvEkAkBWyvEykxCTS4MxIPkUlKGQ7HBbnVlkCDKOgHEgzqR/F4jHuSX0y4iQjzogiI2eiOAeNAbWgxDoC0BWyvEyrY2Ob4ZAcSDZpw4qmMCscFudR03ibmJEEA8mEiiFnAT8WABeBmfiniQcXJzCA3xIIcsEkMmBGytECszCTW5MBAPkktJGQ7FBrvVlUGCKOsEEA/qRPJ7jXiQX067iAjxoAuK2OiNAOJBb2gxDIG2BGytECvb2uT4ZgQQD5px4qiOCcQGu9V13CTmJkIA8WAiiVrATcSDBeBlfCriQcbJzSE0xIMcskgMmRCwtUKszCTU5MJAPEguJWU4FBvsVlcGCaKsE0A8qBPJ7zXiQX457SIixIMuKGKjNwKIB72hxTAE2hKwtUKsbGuT45sRQDxoxomjOiYQG+xW13GTmJsIAcSDiSRqATcRDxaAl/GpiAcZJzeH0BAPcsgiMWRCwNYKsTKTUJMLA/EguZSU4VBssFtdGSSIsk4A8aBOJL/XiAf55bSLiBAPuqCIjd4IIB70hhbDEGhLwNYKsbKtTY5vRgDxoBknjuqYQGywW13HTWJuIgQQDyaSqAXcRDxYAF7GpyIeZJzcHEJDPMghi8SQCQFbK8TKTEJNLgzEg+RSUoZDscFudWWQIMo6AcSDOpH8XiMe5JfTLiJCPOiCIjZ6I4B40BtaDEOgLQFbK8TKtjY5vhkBxINmnDiqYwKxwW51HTeJuYkQQDyYSKIWcBPxYAF4GZ+KeJBxcnMIDfEghywSQyYEbK0QKzMJNbkwEA+SS0kZDsUGu9WVQYIo6wQQD+pE8nuNeJBfTruICPGgC4rY6I0A4kFvaDEMgbYEbK0QK9va5PhmBBAPmnHiqI4JxAa71XXcJOYmQgDxYCKJWsBNxIMF4GV8KuJBxsnNITTEgxyySAyZELC1QqzMJNTkwkA8SC4lZTgUG+xWVwYJoqwTQDyoE8nvNeJBfjntIiLEgy4oYqM3AogHvaHFMATaErC1Qqxsa5PjmxFAPGjGiaM6JhAb7FbXcZOYmwgBxIOJJGoBNxEPFoCX8amIBxknN4fQEA9yyCIxZELA1gqxMpNQkwsD8SC5lJThUGywW10ZJIiyTgDxoE4kv9eIB/nltIuIEA+6oIiN3gggHvSGFsMQaEvA1gqxsq1Njm9GAPGgGSeO6phAbLBbXcdNYm4iBBAPJpKoBdxEPFgAXsanIh5knNwcQkM8yCGLxJAJAVsrxMpMQk0uDMSD5FJShkOxwW51ZZAgyjoBxIM6kfxeIx7kl9MuIkI86IIiNnojgHjQG1oMQ6AtAVsrxMq2Njm+GQHEg2acOKpjArHBbnUdN4m5iRBAPJhIohZwE/FgAXgZn4p4kHFycwgN8SCHLBJDJgRsrRArMwk1uTAQD5JLSRkOxQa71ZVBgijrBBAP6kTye414kF9Ou4gI8aALitjojQDiQW9oMQyBtgRsrRAr29rk+GYEEA+aceKojgnEBrvVddwk5iZCAPFgIolawM3llRW387nz7o3rtrlX/Ond7v/YusftO7u0gEVOzYHAreLBa9353e9x109ud6vL13MIjximTuAW8eCVbvntr3ard/6Gc1e4dk09tfg/PQK2VoiV04tqGh4jHkwjT9l5GRvsVpdd0CMHtLKy4paXl2ePmzdvutBDx6hOZZttdXV1rm1r0/zw2Y+JB3ae2QmVdpxibrq18V/tyrbOqW/ar3r5EPLP6nWMz0bdpr3WsU3zaG20ZdDU/loYKw7Zf+HGTXf/6bPuf7hnm/trn7nb/dTW3W7fmbMzZiu1vtmGj+zrePMtxn8tfMz/JvbtGMXbJgbjX/Vdtqo2fMdUj7fn5kP9fOtPobJqX+eavXppdSrbbjrHzpddCUo3n7/srp7Z787ueY97dv0b3HO73u+uPLvN3bxxtZV56wN1f+uvzQeVirnpZnyq/tdt22tro5q/ee2Y/3au2QqVOq7NVrVvNmVDcVX91GvVq86O85XmZ/XcJv404Wi2zb8mdu2YJvYtvkb2TTz45O1u+S3f7G7++OvczT/7LXfz4jmnu6l8bKr22/LR8SGb1f3GqK39pnwsBh3fpg2zX/XV99z8b2tfvuhc889n2/Y1yq91nBdLs29tmC1fafbXwmeefdXbo439WjjZvbS1QqzMLuhEAkI8SCQRpbkRG+xWVxqTPuPVm/K1a9fc0tKSe+6559yZM2eCj9OnT7tTp065S5cuzd6wmr5ZPf/88+7s2bNBu9U21caFCxdm9utxV8WDV99xzH3m4SV37uLzbmVleea/zq3a8j1XjLJ/48aNunnva8Uo/y9evDjXtrWnY3VOlY+ea7/4NfXzypUrt9jwOvjiTk1adLx8aGL//Pnz7urVq17OvnZk//Lly7M8zrOveuX7+vXrje1rAiT7p597zt1/5Jj74Pot7sc/d4/79S073L4nnnRnPX1T/qv/Ntl0nI5X/uf1czGU//KnqX35r3h1XhM+586dm9kX1yab7Mt/5c36mUrZ0fi1CaR80FiuHuN7bj5qLLcZC2rLfDAbIfvq6xprTRmKg3goplttn3VnTj3jnj26yx3b+Vvu0Pp3u6P3/aZ75tBWt3T+rLt5s9kCWX4oVvkk33x+2z61b9cKjeUmm10rZL9JH1Mbdi2qXitibcl/u1bfysh/3ZZ9MW1iX8fo2Lr/6tPa98ILL8xcU19TvzFWsdLGm/pNEx/UgOzrWqb4YjFanV3LmvYzxSj7bcaqjbFgbkw8+MT73Y23vspd+Fdvdmc+/2l35viT7szZc0FWFmMbPuJofGLsrU450PFt+De9lqmNtVzLqtcR89NXio/817VPeWuyGR/5JZvWT3z2rV7XevW7JpvsG58m41z9TOOlqf/qx7L/8uvgy8e48WlzHW8S49SPsbVCrJx6jKn6j3iQamYy9ys22K0ucwSDhac3Kb0pP/vss+6xxx5z+/fvd3v37g0+9uzZ43bt2uWefPLJ2eK4yWRNb7Sa3D300ENBu9U21cbhw4e9C5qQePDC89fcY48+6nbv3j23jQMHDrijR4/O3sybgNYbvt6Yn3jiibm2LY5jx47Nzqny0cRE3O6///5GduTnyZMnG09otMDR8fJBDM2XUPnII4/MFlC2IJjHQpO9Z555xj344INz7at95VsTq6YLL/nx9PHj7oEHH3Rb7t/l/ujeje4/rrvXfWbjZrft/t1u/759t8SkvqoFYNOFr/IoPjpvX81WnZHqFeeJEyca25f/miQ+8MADjfg8/PDDM/vi2mSTfU0UlTfzV37KzlNPPfWSEKGF5ZEjR146xo6tl9ZHjh8/PrsGVPtqyB+NZcX46KOPzuybjbptvVadrhXyRTnSuU02XY8U061jWdelPW7Pzi3u/s1/7nbc+ym3c+Odbu/OTe7Q44+7q1ebMdQYlH1dX+Sbz2/bJ//VVzTutXBu4r8Y6lhdX+b1MWMk+20WLroWyX9dH2L8LY5Dhw7NFo5N86tFi3Jm/qsUB/U7LWa0qc/qWmbHWFu+UudqTGiR1sQH2ZcPutYovliMVmfXsqbXAvWBNtcy9Uf1++i1UuLB6RPO/dv3uetve5178lf+L/fgFz/r9u6+3+2NvK8qBvV1je2mi1cdp2uTxe/jXt2nvqLjmy5eFaeu3cpdkzYOHjw4m0Mob002vSeoP1SvZVV/q8/VvvzXtb7ptdKu9fJLfbRJDOLT9L1K9tUf9B4xbwyoXv1fc4KmfNSPbc40z3fVy769BzThX8IxtlaIlSVwGCNGxIMxqNOmiw12qwNTNwRsQaI3wS1btrj169fPHvfee6/zPVR/9913z9709UbeZLKjSbfe+Ldu3TrXvtpUG5q0+N7IXyYeHFxyZy9cd1evXnE7d+50X/7yl71+Wyz33HOP27hx4+xNX2/OTTZ7I9cbtM7Xw+zVS6vXpEUTbZssq9SkXxOJL3zhC3MZy6781MKi6YRPE2IdLx/WrVsX9NFyLF6a0DSdkMl/LSqUxxgD+a72dZwmZPKrySY/JGBt2brVbdiwwd27YYPbsOErbsNXvuKNRXy0gGk6IVNfF5+vvGhPHOr502vtV/vy//HHH29sX34o3s2bN0fza21s3759tgjUwrHJJvta6Et8shyKs+JRv9IYE2sdo8WI6mJ5Up3siLly22Qsqx8rRvmgOGL2ZVvXCk3824gHujtn27ZtnrG8wa2/V33iq4/199476xt79uyd+d+EocaSjUP5Jh99fcBiE1tdG7WQsrEca0cMdazOke15fJQjHatrUZNxrmupriu6Pqr/x+xbP9PiQoJG0/zqE2rlTJwVg3wUK73WAkUcdIyucdpn7fg46nwds2nTplm/bOKD+Mq+rjWKT+37bFfb1bXMBO1YfqxOfUACjN7z5jFU++qP6vfRa6WJBx9/r7v6tu9zBz/+i27Ll77g7l1/r1v/IidfHLKv9y2N26bih44TnxibKh/xV7xR8cPgvCjeKF71/1gbyq8eupbJH+WtyWbXqR07dszOlw0fG+1TfuS/3quaXisVp46/7777ov2z2qb4yK8mIqH427W+yrlqz/YrNo1VCVBN+di8TP0uxl9tiI/ecyTESDiObYpN41cPPW8Sa8xeynW2VoiVKfs/Zd8QD6acvQn7HhvsVjfh8JJyXW/GetPUm78mUlL89YmxJoa+h94AVa87FfQG12RCrTcoTV61ENP5evhs2z7Va5Lqm0y/TDx4eMmdvXjdvfDC87OFYcx32ZdtfWoq+03fyDXh1bFPP/10I9/VhiYWYmt8NClR/FqQakImIUJv9hZztTQ+8rPpokWdSvnQpzk6P8bB7OvTUdlvOmHVxFmfjumTTLNR9bv6XO3rOC2K5FeTTX7ozoDHHn/cbdu7391x7yb3ibvXuz/atNXtOHDgZbyMT1P/1Z8Ur3EPxWD7la82dzYoTsVr/bzKo/5cbWjcyX5T8UNx6tMu5U3na4Gn/qSJtcQDLT5kT31Li3t9sj6vH8iOmMsH66uxXOkYxSgfxNFY1ePTa9VpYSy/NIaaTlTli9jc4rvGysMPuQf3bXP7tv6J23Pvv3f7Nv+xe2jvZnfsiaPu+vVmXyuQH+rHWmjeYt9zvVO9YpT/Wmw28V98JH7oWmEMfGysTm3oWF1f2iysdf1S/4/xt3ZNIGyaX4m2itnyq4W5BAAtgOy6rGN0jbM2Qn7YfvmqvtvEB/U/2de1RufH8mT2tXDVtc/3nuHrz+oDGitNxqrat2tZ9Fpj4sG/e597/m2vdSc++lPusS/+uTv4wAF3MHCtFz/ZVxwaV0356Djx0fgyBpaLaml14q94m/YxxSl/dF6Mv9pSGxqv8qfptUzXSl2LlTfzsep39bnqJXDqeN8HCr78Kk71B/llPlZt+p6LT9P3KtkXH/k1z77811jSOG/jv64j6ndN+Ksf604azTNCm/qM8qNrmR563rQ/hGymvN/WCrEyZf+n7Bscwz1cAAAgAElEQVTiwZSzN2HfY4Pd6iYcXlKu6w1Kb36aGEql16JAb7p6Y9QnXKGH3qT0xtNkQq1j9KYpVTxkr75fb26+iZRfPPjqbx7onLqd+mvFpYeObTrRlB+aTEkMqNsLvdaxOsf4KHYt6PQpgYQaiS8SVELnm59NJ2PqVMqHJsUhm9X9sq/cy76Ps6+Tipfsx/yutqHjlPemExT5oX519vyS23nsuPuZ9VvdW+5a5z66Zafb8+Rxt3T+vFuq9EnF0MZ/2dfxOq/qZ+i5cmb93Mejvk/2FW9TPmuxL/+VN02kNVmU2KdPnSQe6K4KLRT1aZX6miaemtCH4rX9FqP11Xpc1dc2luVDiFt1vxaMGgtNbFs76i8vY3h+yZ09e9KdenK3e+r+X3VH7/0x99SOX3Onj251F5fOueXlZr97IT/Uj5uOZTHSsU0XFbKvY82+Ma4yqT/XsfKpKSMdq+tXE9tqy651TezrGPVj+ST76md6f1Af03uERBdd1+SDBI96LKHXsqW+28QH9QO7ljWNUf1F1yb53mST/+r3L+tnletLNRYdp7Edta+2z5xw7rd/zt1467e7yz/7993SXb/nzj1z3J1bCl/rrR3Zb7MpXo0vOz9WiqPijfpfaVzHyZ82/O06UjETfKr8qj805a9rpY5v+l6ifmb2dW6MjdW14SP74tPUttrQmGrqv/jrOtKGj8ajxmZoU53Gs4QGPfS86XUtZDPl/bZWiJUp+z9l3xAPppy9CfseG+xWN+HwknJdiwCp4vpkSZ8wmfquNy+9QcYebQKRnSY2q+357FfFg1fdcczdOfvBxK9+sl09N/bc/PDZ9+2L2ZpXZ/Y0ydOdHV/60pdmCztN6LWFzpePeqxlC9ms7m/LwPyo2mj63M5tUsqmfpn8/jPn3d+5Z7v75hf/qnHPc+fdqqdPNrFZP6ap33Zc/fzYazunTRmzF6rT4keTUX3yqDsPdBu7hD990qY7W/S1BYkLmkBbrmM+hdrx7Y/ZCdX57MT2vdyOcys3rrrnzx5wS3v/pTu1/ntf+qvGlZvNfu+g2t7L7fuvdcauem7seVO79eNiNn11Ot98q9vyvfbZiO0zG1pcqF9JkFI/M/HA6tuUsfZCdX3ab2Pbjg35Odv/oniw+ju3u5W3vNKtvOM73cqdH3Orl887/dqH2YiVUfu1ypidel21r9TMBF/Wbcx7HTQUqZhns1ofMROsqp7f5HnQkKeiib36MR4z3l3189q89hp88W4eE5c1F9FYlgAl2zlutlaIlTnGnUJMiAcpZKFAH2KD3eoKxNJLyCYe6Ltz+v6hPqlMWY32igeXmt0W3wvAhkbr4oEWfmx+Assrq27nc+fdf7dum3vFn97t3rl1j9t3Nv5dTr+lfPfqE6x54oHubmn7aWbKxFZvXnMvnDvglvb9hDu9/jXu/O53u+snt7vV5WY/0pZybKn6JpEqJB6k6vNoftXFg7d/l3N3/oZzV7h2jZYTGn6JgN4LJB7YV1QRD25/iQ1PuiWAeNAtT6w1JGACQaxsaIrD5hCQ8qxFhn1vUbfJacKY6oZ4kGpmuvNLdx5IPHjjum3ulX96t3vX1t1u39lmP27ZnRdpWzLxQHccSPjT1xd010H9zoPsxIOzB9z5vT/pTq1/nTu3+z2IBz13U93qrD6luw7Uz/TVGO3L9dPKhXBWxIPlt3yTW37Hd7vVz3zcucuIBwtx5eROCOi9QIKBvp6q38rR75dw50EnaDFSI4B4UAPCy2EIxEQDqxvGk/xb0e2MmgzqTURvLlqUpDwxRDzIv08iHszPscapvqOrrxzpkyR9fUELO8SD+ew4ojkBCclacOgrbfrqgn5IUftSfo9oHl3HRyIedAwUc10SQDy4/WX/5NYlX2x9jQDiwddY8GxAAiYQxMoB3aGphAggHiSUjJ5cQTyYD1aLNy3i9INm+rcE/SCXvnKkXy+v/uYBdx7MZ8kRYQISl/X7LPotHN2hpq/K2Pfnw2cVWoN4UGjipxE24gHiwVA9FfFgKNK0cwuBmGhgdbecwItiCCAe5J9qxINmOZaAoDsQJCJoQaevHHHnQTN2HNWcgPqW+pj1M+46CLBDPAiAYXcKBBAPEA+G6oeIB0ORpp1bCJhAECtvOYEXxRCYinigCbYm3fbgBxObd1HEg+as1M9sMacfP0U8aM6OI5sTsH5mfa35mQUdiXhQULKnFyriAeLBUL0W8WAo0rRzC4GYaGB1t5zAi2IITEE80ARb/1ih76TroU/sEA+ad1HEg+asqkciHlRp8BwCAxNAPBgYOM21IYB4gHjQpr8sciziwSL0OHfNBEwgiJVrNs6JkyYwBfFAdxvoO+j2A3Z6fubMGbdx40b3hS98YfZrx/xVY7gbIh6E2cRq9LWFxx9/3N1zzz2zH7g7ceJEfn/VyL8txLpA73USRvUDuxKqlpaW3JUrV2Zfnem94Sk0gHgwhSwV6+P169dnf9WoHz7dvHnz7Dn/tlBsd+g1cMSDXvFiPEQgJhpYXehc9udNYArigb6HLuFAv4Jvb9L6MTu9Xrdundu1a9ds0p13ptYeHeLB2thpQacfTNTf6umvG/UDd/q0KZdt9eY19wLiwajplDBqIpX+4UP/xKBFCZtzDvGAbpAwgeqdBxIQ+KvG2xPO1rRdQzyYdv4m670JBLFyssHh+EIEpiIe6LvnEg703+hHjx6d/Uq5FnP6qzMJCfoqA5ufAOKBn8u8vfaJ8DPPPDO700VfmdFiL5cN8WD8TEoYfe6559zu3btn17eHHnoIIdTSgnhgJCgTJKCvUmru8eijj7qDBw/O3iO0L9ffMYmtH6wuwTRl4RLiQRZpnF4QNrBj5fSiwuMuCExFPDhy9IjbsnWL27Bhw0w80Ju0Fnd6IBzEewLiQZxPqFaTQC3u1MdU5jYpRDwIZX64/epX+tvGHTt2zK5tBw4cQDww/IgHRoIyQQIau/q6pMQ/PXL/ylFs/WB1CaYpC5cQD7JI4/SCsIEdK6cXFR53QWCq4oEWdDl9CtxFLkM2EA9CZMrej3gwfv61ANGnlzt37nxJPNAdLmx8bYE+kD4BzUE0hvXITVyu04+tH6yufg6vuyGAeNANR6y0JGADO1a2NMnhmRBAPMgkkZEwEA8icAquQjwYP/mIB5EccOdBBA5VEBiWQGz9YHXDelROa4gH5eQ6qUhtYMfKpByesDP6RPzSpUuz77+dP39+9gNrKX9Cjngw4c7W0HXEg4agCjsM8WD8hCMeRHKAeBCBQxUEhiUQWz9Y3bAeldMa4kE5uU4qUhvYsTIphyfsjIQD/b2bftxPP4KlvxTU9/NT3RAPUs1Md34hHjRjmfttp3UKiAd1IsO/lrCs9wi+tuBhj3jggcIuCIxDILZ+sLpxPMu/VcSD/HOcZIQ2sGNlko5P0Cn9vdsjjzwy+1cATQj1fVbEg8USqU/n6j+YyG8eNGeKeDCflRZx+uutp59+eib+6S/zNJZzFhQQD+b3i66P0LVMP66mvwA9dOjQTDg4efLkTDz4yle+4vSDifzmwYvUEQ+67n7Yg8CaCcTWD1a3ZuOcGCWAeBDFQ2VfBGxgx8q+2i7NrhYc+useTQTvv/9+xIMOOsBMPDhyxG3ZsuWlv2pEPGgOFvFgPiv1Mf1y9oMPPug2bdo0u2tIi7qUv3I0P6r4EYgHcT591OqfYZ544gm3ffv22d1pen7ixAnEAx9sxAMfFfZBYBQCsfWD1Y3iWAGNIh4UkOQUQ7SBHStT9HuKPiEedJ81LewOHz48m2zfc889s0/tEA+ac0Y8mM/KxIMHHnjAbdy40e3atcshHsznxhHtCEg8OHr0qNu2bdusn+n5s88+OxOaufOgxhLxoAaElxAYj0Bs/WB143mXd8uIB3nnN9nobGDHymSdn5hjiAfdJ0yf/j7zzDNOC7u9e/fOnmsSnvMt5V1SRDyYTxPx4HXu3O73uOsnt7vV5evzgXHEmgj4xAPdebBjx47ZXVX79++f/V/8mozndhLiQW4ZJZ4JE4itH6xuwuEl7TriQdLpydc5G9ixMt/oh40M8aB73hIJLly4MBMN9J10MZaggHjQjDXiwXxOiAeIB/N7yeJHVMUDfT1Gdx6cOnXKSTSQgKCvvPGbBy9yRjxYvMNhAQIdEYitH6yuo6YwUyOAeFADwsthCNjAjpXDeJJ/K4gH/eRYizt9VUE/PmnCgcQDe/TTah5WEQ/m5zEmHuTax/jNg/n9ousjquKBvh5z7NixmVggcXRpaWn2uxs5/85GK56IB61wcTAE+iQQWz9YXZ/tl2wb8aDk7I8Yuw3sWDmie1k1jXgwTDqvXbs2m3g/9thj7vjx40n/o8UwRMKtIB6E2VhNXTzYs2fPrF/ZL+PbHS86LpcN8WD4TFbFA915oH/1kCiq/epbOfWvhekiHiyMEAP9EZDIp3mIRD89rl+/nvUP7MbWD1bXH+2yLSMelJ3/0aK3gR0rR3Mus4YRD4ZJ6NmzZ2f/aPG5z33O3XfffbNP7IZpeXqtIB7Mz1ldPNi3b9/shzkff/xxt27dutmv4eu76fo7x1w2xIPhMxkSD/gKlicXiAceKOxKhYBEPxOX9YPOmpPozshcx3Js/WB1qeQmNz8QD3LL6ETisYEdKycSSvJuSjx45JFH3IYNG/irxh6zpTfqzZs3uy9+8YuzhZ3+Zo/NTwDxwM+lurcqHugTYX0H/ciRI7N/+dBY1r8v6Ec7EQ+q1HjelgDiQQtiiActYHHo0AT0XvDUU0/N5nn6vRLdAam7DxAPhs5E/u0hHuSf4yQjjIkGVpek4xN06tKlS0630msBogXH6dOnk76l/sK1Zbf54AX3jrtOuFfdcczd+fCSO3fpheTJSzzYsmWL+9KXvjR780Y8CKcM8SDMxmqq4oG+iy7xQD9mp0+U9Bd6u3fvRjwwWJRrJqBPKyVKbd26dfZXjfrNA+3LdcGxZlA6EfFgIXyc3C8BCQUav/rbVX2Qoef6GkOuY9nWCrGyX+LlWkc8KDf3o0YeG+xWN6qDGTV+5coV98QTT8yEg4ceesidO3cO8aCH/CIeNIeKeDCfVV08sK8tIB7MZ8cRzQkgHjRnhXjQghWHDk5Adx7oN0v0tUmJgboLAfFg8DQU0SDiQRFpTi9IEwhiZXpeT9Mj3Zaqv9rSr2frLoTUP1XizoNp9rM2XiMezKdl4sHDDz88u6PlgQcemImAiAfz2XFEcwJ6f5C4vH379lk/04Ij9feI5tF1fCR3HnQMFHNdEkA8uN3V1xRd8sXW1wggHnyNBc8GJFAf4L7XA7pDUwkRQDxIKBk9uYJ4MB+sfjlbk8Fnn312dlu5fhxRv3GAeDCfHUc0J6B+ph9Zk4CgvnX+/PnZPyzkeqtzczKeIxEPPFDYlQoBxAPEg6H6IuLBUKRp5xYCPrGgvu+WE3hRDAHEg/xTjXjQPMdaxNlCTj9+injQnB1HNiNgfcz6mZXNzi7oKMSDgpI9vVARDxAPhuq1iAdDkaadWwjUhQLf61tO4EUxBKYkHlQn3fzmQfMuinjQnFX1SMSDKg2eQ2BgAogHAwOnuTYEEA8QD9r0l0WORTxYhB7nrpmATyyo71uzcU6cNIGpiAf6/2T9GKUeetOuigc7d+50/NtCuBsiHoTZxGoQD2J0qINAzwQQD3oGjPlFCCAeIB4s0n/anIt40IYWx3ZGoC4U+F531hiGJkVgCuKB7jiQWKDvCevv8/QPFvresH7hmL9qnN/dEA/mM/IdoR89PXTo0OyvGvW3q/oNBE0Yc9lWb15zL5w94M7v/Ul3av3r3Lnd73HXT253q8vXcwlxEnHoxzrVr/RL7Sr5GsOLaUM8mET/LdVJEw/046f828JXhYRS+0LfcSMe9E0Y+14CPrGgvs97IjuzJzAF8UA/MqZfJdcCTn+LdPz48Zl4sGPHDrd+/Xq3Z8+e2R0J2SdrjQEiHqwNnO48kFilieH+/fvdyZMnEQ/WhpKzAgQkFKifSaTSX/vqOpeTQBUIu9luxINmnDhqFAIap8eOHZu9P2zevHn2t438VeMoqci+UcSD7FOcZoB1ocD3Ok3P8apvAlMQD/TJnH64btOmTTOx4MiRI7O/wtSEW3+tpzsSrl/n09JQX0E8CJGJ79dE8MyZM+6xxx6bTRKXlpac/movl407D8bPpITR06dPOwmhGzZscAcOHJj91e/4niXgAeJBAknAhRABfZVS/86jv/XVuNXznO8c8q0b6vtCrNi/GAHEg8X4cfYaCdQHuO/1Gk1z2sQJTEU8kGCwZcsWd++9984+DdabtD30Js6tvuGOiHgQZhOrUZ+ScKX+pYee57QhHoyfTfUpiQf63RaJB1qIXL16dXzHUvAA8SCFLOBDgICEP41VfY1SDz3P7T2iGrpv3VDfVz2e590RQDzojiWWWhCoD3Df6xbmODQjApMRD44ecVu2bplNsHUr+Y0bNxAMGvZDxIOGoAo7DPFg/ITXxQPuPKjkBPGgAoOnKRKQgKC70fTQ85w/xPCtG+r7UsxRDj4hHuSQxQnGUB/gvtcTDCtJl/XmoTcRTQqn8GYyZfFAfNnmE0A8mM+oxCMQD8bPOuJBJAeIBxE4VEFgWAK+dUN937AeldMa4kE5uU4q0voA971OyuEJOyMFWn8neP78+dn38nW7c8qLXMSDCXe2hq4jHjQE5dzskyMJgDl/gmQ0EA+MxPCl9TGJB/pdDfvaAnceVHKBeFCBwVMIjEvAt26o7xvXw3xbRzzIN7dJR1Yf4L7XSQcwIef0vTf9Yva+ffvcwYMHZyKCbrFPdUM8SDUz3fmFeNCMpd01JLFvCncNNYsqfBTiQZhNnzXVfoZ4ECGNeBCBQxUEhiXgWzfU9w3rUTmtIR6Uk+ukIq0PcN/rpByesDP62y2JBvoLQf2C9qlTp2Y/tpZqSIgHqWamO78QD+azlFigu4b0w1f61Wx9Gqx/W8h5QzwYPrvqZxcvXZy9L6ifXbhwYfZcdx585Stf4d8WqilBPKjS4DkERiXgWzfU943qYMaNIx5knNyUQ6sPcN/rlP2fkm8SDx599NHZD/vdf//9s1/S1lcXUt2mIh4cPnr4ZT+YqIk423wCiAfzGekTYN01pL/+3Lp1q9u/f/9s7ObcxxAP5veLro+QQHXsyWOzryls27Zt9hegEhH0XoF4UKONeFADwksIjEfAt26o7xvPu7xbRjzIO7/JRlcf4L7XyTo/McdMPNBEEPGgm+RpYff4ocdnk+t169Y5/W2jvgqS88KuG3JftYJ4MJ+m+tjly5dnooHuGtInwVrU5dzHEA/m94uuj9B16/Dhw27z5s2zv53VtezEiRP85oEPNOKBjwr7IDAKAd+6ob5vFMcKaBTxoIAkpxhifYD7Xqfo9xR9QjzoPmtawOl3JPbs2TObZD/99NP8VWMLzIgH82GZePDAAw+4jRs3ul27drmTJ08iHsxHxxEtCOjOA/3VrO462LRp0+z5M888M+tveq3+l/vXZRrjQjxojIoDIdA3Ad+6ob6vbx9KtY94UGrmR467PsB9r0d2MZvmEQ+6T6V+YOzSpUuz28j1GxL6hDjnT4S7Joh4MJ9oSDzQ/lw37jwYPrM+8UDXNP3Lgn4jR195Qzx4MS9e8eA3nbu8NHziaBEChRPwrRvq+wpH1Fv4iAe9ocVwjEB9gPtex86nrjkBxIPmrNocqUWcfjtCD03AJR7oFmB73cZWacciHszPeFU80CfAu3fvnn1tQX3NHupzErJy2RAPhs9kVTzQHS5PPPHETAzVD3TqazL6wU4dwzb731Tnzp50q7/7Abf81m92y//8tW71z/6dc1cvggcCEBiYgG/dUN83sEvFNId4UEyq0wq0PsB9r9PyeLreIB70lzst3Ozx/PPPz24r11cYNPFmwh3mjngQZmM1VfFAizp9RUbfRdd41qJOfezKlStZ3fGCeGDZH66sigcSqZ588smZAKr+J3FKZafb8g23evWyW7143q0unXOrF5fc6uWLzl255JzKVB9XLjt36YJbfeqQW/nEv3bLb/lGt/L273Krf/z/OHf6aeeuXUnXd2P6IuOvsj87y4F7/rpzXee40w6DsaYENBfRhxd6X9DdkHqem8BcZeFbN9T3VY/neXcEEA+6Y4mlFgTqA9z3uoU5Do0QQDyIwOmwSp/Q6XvD+gFFfT9db95sfgKIB34u1b1V8UCLun379s2+j67vp+vH7SQm6LvpmiDmsiEeDJ9Jn3igO6j6uqNl9fIFt3L0Ubey/z63smerW3l4r1s99JBbPfKIWz18MN3H0Ufd6qGDbmXXRrf8sX/hlt/69W75n77Crfz2u/9/9s4DTJKi7OOrfKAoosAdIBIMIBJV4iFZOJRkIMuRVFCQDBKUKKCgBFEQBO9Id6Tj8t5tzjnnnOOEnZ2waWZnp7r/3/P27tzNzs3szs70zPTMvP089Ux3dVd19b+qp7t+/dZbkOtLIXe3af8aSOP2Bkj1FZAq8iHVlkLWz4GPyDc9PqPKCtB9azQalaFGND03rdPzIVz3ssrFX3J2vvoN3nFLzpQTBKQAw4OAZOKD1FbA+wb3ta32ORM1P4IHLS0tylSNNIbV/UDRqh6xMFWjL+1GR0cVh2Pbtm1DSUkJwwNfIs3FMTxYQJy5Xd7wgKZqJE/47e3tcM++QJYIZPESLwvDg8jXZEThAVlqDfdBSv0M0t8egLjnWogHb4B4+CaIR26BeORmDYdfQzx8M8S9V0NcexzEBXtArPw/SDecCPHgryAe+U0MXMMts1o/cD3EvddA+uv9kEpzIJv0kW94fEbVFaBnATlyplm1aHYesoJ0OBwMD1RXmjNkeMBtICoK+IIF3nFRKVgcnpQc+3V0dKCgoED5Wknmzlr+WhnL8IA0TklJUR7ebHng/2ZieOBfG/ceT3hAwxbc8ICm1aNpV8kHAlkeMDxwK8a/wShAXysJShUWFiqzevT29oZv5hiCB12tkN79F8QVp0D8cF+I878FsfJoiJ8eA/HT70H8RKOBykbhou9BXPJtiJ8dPhsu+Y62y+2pJ2m88iiIs78BcdK+EL84GVLyx5CH+oJpOpxGYwrQs4Du3+LiYuV+piFI5OyULQ80VlFxUByGB3FQibF4Cd6gwNd2LF6XFstMDw/6QtnU1KRABJvNpunx+AwPtNiK1C0Tw4PF9fSEBwQLqqurlU4ew4PFteMjAlfADQ9oKEx2drbS+SBrhLB0OAge9LRDWvsGxC9Ogjj/2xCP3Qbx8mOQ3vgrpNef1XZ47RlI/3oa0iuPQ/rHoxAvPgrpn09Aonitl53KRxq/8BDEXb+AOP8IiMtOhJyyHrJuMPAGw0dqVgGCBwQMyPKRYCBZITA80Gx1xXTBGB7EdPXFbuF9wQLvuNi9Om2VnF4OyfrAZDLBarUqXyrD8mKo0mUzPFBJSA1nw/Bg8coheDA1NaUMUyAzVBrDSl+VGB4srh0fEbgCBAqok0GWLGTqTKA5rPCgvxvS+nchrjwd4qoVkDZ9ALkiH3JLLeSmGsjkA0HLoaEKck0Z5KqS2VBbDrmxSttlVvSsmdW4IA3SG8/NWn78/IeQs7YCIzxsIfA7RrtHMjx4GNyPiEz7ZHgQGZ35LF4KeN/gvra9kvBmCAoQLHCHELKJSFKGBxGROaonYXiwuPzkJZteBmloAgEDGr9K62RizsMWFtePjwhMAWpnBJbJEScNbyPHrwSuwgKY6Tk02Atpy0cQV58BcctFkGvKAasFkERsBJqZwDvEStklAXm4H9LWdRA3/BjilydDzk8FzMbAGgsfpWkFGB4wPIhUA2V4ECml+TzzFPAFC7zj5iXgjYRRgOFB/Fc1w4PF69gN++iFkCwQyE+JxWJhy4PFpeMjlqgAWaeReTMFWg/bQvBgoBfSZg94UFsOjNnCdkrOeL4CNERB2jIHD35B8CAFGGV4MF+l2NxieMDwIFItl+FBpJTm88xTwBsU+Nqel4A3EkYBhgfxX9VCklFmsmBFehGWrU/FbYVVqB21xv+Fh3iFNHMKD1sIUUROHj0FfMGDmjJgjO/9SFUKw4NIKR358zA8YHgQqVbH8CBSSvN55ingCxZ4x81LwBsJo0CswAMy96WxwfSljsx8aapG92wLNHY4WrMtCFnGDJm8C6EEpxBwCgkzGgoOIVA8Ysbp6cVY9lkafltYicoRs1JGl4bKSZqRjlReh0tgRpIhR/FOZHgQRfET7NRuyxdVhy8wPIh6K2J4EPUqCFsBGB4wPAhb4/LKmOGBlyC8GRkFvEGBr+3IlITPojUFYgEeEDigKS9p/Hl7e7sCDoxGI8hj+Y4dO1BaWhoVeCDJMkanHGgcsaBgUI/8QT0q9SOoM46ifi7UGU2IZqBy1OhN+KC9DyemFmDfDWn4WXYpPu3qR+OIGfVRLp9bG7deZboR5A3qkNY7hA7rmAIRogUQaKYUGpeelZWlTAfKUzVq7d8rPspDUJTmh6dhDNQhof87VRaGB6rIGEomDA9CUU/baeledU/VSB8yeKrGh7VdYTFcOoYHMVx5sVx0X7DAOy6Wr4/LHrwCsQIP6MFcUVGhzKlM3srJ6Rh5LKeHdn19vTJOPXgVgktJvgTaR634qLULD5fX4/aSGtxfXo+HyhvwcIU2wiMVDfhjeQNWFVbh68k5+MLGdBy3PQ+/Lq7Go5XaKKOnVvfN6XhzfgU29gzCOu0EQZpoLGTNQi+HBKcaGxthMBgUXwjRKEs4zim77HCO1sFS/TsYMr8Hc+W9cOiLIQtHOE7HefpQgCwNqJ0NDAwoThT1er16fhAYHvhQPLJRDA8iq3ckz8aWB2x5EKn2xvAgUkrzeeYp4A0KfG3PS8AbCaNALMADGqZAVgcECmhu9J6eHtBXYfJY3tbWpkx9Rg/ySC9kYl86pMdDRZU4bEsWkj7ZgT0+TcH/fZKCvT7egf/TQF3LG+sAACAASURBVNiTyvDJDuy5PhV7bkzHnpsysNeGNOz5aSqUfRooI+lEZdnzkxR8fn0qPvdpCpI+2Io/1TZjeNIOGhoSjYW+BLstXqhzR22OvhLHy8LwIPo1Sf9tBKVorvjMzEzU1tZicnJSnYIxPFBHxxByYXgQgngaT0rvHPRcoKl96f6lGXrIgkjVoUca0sBXv8E7TkPFjauiMDyIq+qMnYvxvsF9bcfO1XBJ1VQgVuEBdezoix2NS6eXbdVMfZcgLvk2qBw24vHSWhy1LQff25aDG/PK8WBpLR4rb8Cj5fV4tCzKobwej5TX4aGyWjxQXI37i6rxYHE1Hi6r00b55vT5U3k9/lxRj8uzS/DtLRlIWrcNj9e1wjBlj5rlAXXs6AWR2hnNwED+NuLpxZDhwRJu9jAd6oYHZN1CYLSuro7hQZi0jka2DA+ioXpkzkn3Lj0byAqSIDO9h8QTXPZW0Ve/wTvOOw1vq6MAwwN1dORclqiA9w3ua3uJWfLhcaJAzMCD7i4UFM5aHpDFAXXkogEMPKud4EGdwYRnKhpwbHIuLs4swfvNHSga0KFWb0K1bkQToUpnRMWwHqV9QyjpHURZ/xAqhw2aKJtboxrdCGp0Rvy1uhFn7chF0kfb8UR9G0x2R9TggWddx+M6w4Po1yp1QMh/Czl9dcMDAlWqLGx5oIqMoWTC8CAU9bSflmAyvYdQiCew7Et5X/0G7zhf6TgudAUYHoSuIecQhALeN7iv7SCy5SR+FHA/UOhX6w8Uhgd+KjGAaJplgZwOPl/dhBO252JVQQVKhg0w26cVU3var6ngObOCxspG/iNoGMjatm5cllaAz32YjKca2mAmB3JRGrYQQBOI6UMYHkS/+hgeRL8OwlkChgfhVJfzjqQCvvoN3nGRLE8inYvhQSLVtoau1fsG97WtoeLGdFHoi/j4+LhixmaxWJQxcNH+Qr6QoAwPFlJn4X0EBpo84MGNhZUo1xkxPu1cOCHv9akA+Tb4qL0Xl6cV4vMKPGiHOYoOE30WMo4iGR5EvzIZHkS/DsJZAoYH4VSX846kAr76Dd5xkSxPIp2L4UEi1baGrtX7Bve1raHixnRRaCz+0NAQmpqaFCd/VqtV0+PgGB4E39y8LQ9uKKhE2bARYwwPghKV4MGH7b24LErwgKyECP6RnwMtDIsJSsQlJGJ4sASxVDyUxkVTG3O3MxovzcMWVBRYQ1kxPNBQZXBRQlLAV7/BOy6kE3BivwowPPArDe8IpwLeN7iv7XCeP5HyJgd+NANAbm6uMrUgjWd1OrX7JZrhQfCtk+FB8Nr5ShlNeOAGB2azGTqdTrEcorHnWh925EvHQOMYHgSqlHrHUXuiZwS1MQq0TrMtkMf2nJwcxWEi+zxQT+9o58TwINo1wOdXSwFf/QbvOLXOxfnMV4DhwXw9eCtCCnjf4L62I1SUuD8NvQy2tLQozq/oa5LW54ZneBB8k2R4ELx2vlJGEx7Q0CKyGurs7ERVVRWam5sVL9oMD3zVFMcFqwBZHdCUbjSrQnV1tWKlptfrFcsDhgfBqqrddPPgwS9PhpyfCphHtFtgLhkr4EcBX/0G7zg/STk6RAUYHoQoICcPTgHvG9zXdnA5cypvBQgetLa2Kl+R6GsSWx54K7T0bRoX3NnVifyCfGRlZUErsy0wPFh6XS6UIprwgNoYTbtVW1uLzMxM0NR59GVYy/5KFtIykH1seRCISuoeQ8NhOjo6kJeXp/yXEawaHh6eN2yBpnxTZYmH2RbIWerMDOCcBqanAbLim4mR4HJBHuiB9Nl7EKvOg/j5SZBzkiEbhmPnGkhr0py0p0B1IavSOjmTGFPAV7/BOy7GLilmisvwIGaqKr4K6n2D+9qOryuO3tUwPFBfe+rY9fT0oLi4WHnp7u3t1cSYdIYH6ta1FuBBfX29Av4qKipAX4QZHqhbx4meG8GDrq4uFBYWKkPbCIQSPCDQTEPdGhoalPniVdEp1uEBTX9nn4Q82AepqQZyQxVk+m2ujY3Q2gC5MAPi9ecgrjwF4pJjIK19DXJJDuTmuti4hqZayI01s6GlHvJw/yxAUKWBciaxpICvfoN3XCxdTyyVleFBLNVWHJXV+wb3tR1HlxvVS2F4oL78ZDpOjifJ3Le/vx82m00TnTqGB+rWtVbggdtfCcMDdeuXc4PiPJeAQVFRkQJCaZ0cJpKDXRrGQJYINHxGlSXW4YHLBUk/BGnDe3A9fAuke66BdO+1s7+0rvVw73WQbr8c4rrTIC5YBnHuVyFdfxak23+u/bJ7a/vgDZD+ejekHWuBMbMqzZMziS0FfPUbvONi64pip7QMD2KnruKqpN43uK/tuLrgKF4Mw4PIiE9Agb7ikTNK+o3G2HSGB+rWtdbgAQ1boLblDmQBE412pq7Ku3LjYQu7tIjUGvk88IQHZFFFzwxqawRHTSaT0t5UKU+swwP6X+9ph3j6LriO2wvi6CSIH34FYsWBEGccHBvhrIMgzlsOcfEyiEuWQZx5IMSKg2Kj7IrGB0H8YB+I4/aA+Mm3IL36CDAypErzjJdM6JkQT88Ff/Xiq9/gHecvLceHpgDDg9D049RBKuB9g/vaDjJrTualAMMDL0HCtEnTnNELd19fn+KUkjp4kV4YHqiruFbgAY1HJ6eJAwMDisULmZWT7xIai04AIV4WhgeRr0lPeEAWLjQEyz1to3vqRtWGysQ6PHDNQO7vhnjuPogzqPP9bYg/XgvpX09DevMFSG/8TcPheaWM4rW/QPz9QYhnb4N49laIlx+FeO0ZSG88Pxe0eg1z5Xv9WUj3XwNx/kEQ15wCafWLgNkQ+RtHg2ckYEDvHQ6HQ7EWons7niGCr36Dd5wGqykuisTwIC6qMfYuwvsG97Ude1elzRIzPIhMvZDO5NyO/CCQya9qpr5LKD7DgyWIFcChWoEH1KmrqalROnb0NZhAAs2goupX4QD0CPchDA/CrfDu+XvCA4JUBD/DBj5jHh4IyIO9kP52P8R534D49dmQ1r0CNFYBXe1AZ6vmg9zeCLm+AnJl3mxoqgbFxULZlTK2NkBa8yLERd+CuPYMSO+9xrNFzN3WdC+Pjo4qlkTkx4Sm+aV7OV4Bgq9+g3fc7v94HKOGAgwP1FCR81iyAt43uK/tJWfKCXwqQJ1anqrRpzSqRtJDOz8/Hzt27FA845On/EgvDA/UVVySZXzc3ovL0wrx+Q+T8XRjO6zOyHj3ds+2QA4TqVNHYIrMy2kMOs3wQQ7tyAKBvg7Hy8LwIPI16Q8ehKXDEevwgIYJDfdD+vv9ECsPh7jrEkgZ64HJcYBmYZAk7QfZRxl9xWnxWkhj5zSkrevguvAouK5ieOD5j0HPAoJ/JSUlig8T8sdEVghhuZc9TxyldV/9Bu+4KBUt7k/L8CDuq1ibF+h9g/va1mbJY69UbsuD7OxsZfotg8GgjMvX6pXY7AL5zTbcuGUIR7zTi8+arDCPO7Va3J3l8oQHZWVlyjR7O3dGaIXhweJC0/unS5YxLUmYFhKckgTSzTu4lP0C69p6cNkcPHiyoQ2j0044xe7Hu9NTvnYhKecIZQYxX/CAviYRPKB7mWZfYHiweH3zEQsrwPBgYX3m7RWuOXjwwBw8uBRS5meAQ6WpLOedjDd8KuByQtrG8MCXNm54QNaPNHsKwQOygGR44EstjgtFAYYHoajHaYNWwBcs8I4LOnNOOE+BqakpxfEVTbnV3t6uzAwQNrPUeWcObiOW4UFBQQFSUlKUr8JseRBc/YczlQQZDpcLddZxvNOvwwc9g0gZ0CFfZ0SxbgRFHqFEWTfiiapGnJaSh899moLfltUhfUCHouH5x8+mNSJzUI8P+4bwas8gKkYtGHNMB/3i5oYHdXV1iqUBDVVww4OcnBxUVlbGHTyAJMNpbYOl9g8wZB4LS9Uf4TBWzX7VDWfDSOC86VlAQIqsW8iihRwmhs3UOeYtD1yQh/ohvfAAxIWHQ9xJ8GA9YI+8lVnCNtkZsjxYy5YHPhqAGx6Q5QHDg4dBfQpewqMAw4Pw6Mq5LqKANyjwtb1IFrw7QAXoyxJ1ZGn8G00pSLMBqOYAK8AyLOUwhgdLUWv+sWx5MF8P7y1JkmFzTOODniGcmV+JH2WV4Lq8ctxeVI27iqtxp0e4u7gGFM7LKMLBW7OQtCENp6YV4LcFVbirqBp3exzrTntTQQXOzS7Fd7NK8FZrFwatNggpOPsDggfkEJGGHNGXpMbGRqVjRx29sMADWYLktGBmvBEz1nLM2CrhGotsmLEWwT70CcwVV8KQ8U2Yy1ZhsvddOK1FmIlgWehcdP2kg2uiHZLTCsjx45jS876g5wOZOpO1FLUzcspJcWH5WsnwwFN6Xg9GAYYHflVjeDALDDz7E37F4h0hKcDwICT5OHGwCnje3P7Wg82b081XgF4CCRZQZ4RCWF4K558ypC2GB8HLx/BgYe3oPrBM2vFGWw8OTc7FFzakY//NGThwYzoO2uAjbEzHVzakYY8NaUj6LA1f/iwNy30dNxd3wKYMfGlDOvbdlImXa1vQN2oBAYtgFiorvQzSMCP3DB40m0dY4AGBA9c0po25sFRdjZGCk2AqPgXmslNgKY9cMJedhNHi42DIWg592hdhyDwII4XHYLT8JJgjWo5TYCo5BSP5JytWEHZDASTneDDVqPk0yj1hsSgmzjTTgtVqDR9cZnig+fag+QIyPPBbRQwPGB74bRwq72B4oLKgnF1gCvgDBp7xgeXER8WbAgwPgq9RhgcLa0cdeeuUA/9p68Zh23KwfFMGVqQX4Mr8SqwqqsH1hdW7QlE1ri+qxnUFlbi2oALX5lco6xQ377jCaqyai7uYrA625eArn6XhpZpm9JmChwdu6EcOr8gCgX7Jeihs8GDGDvvABhhzjsTQ1iQMJydBty2KYXsSdMlRKsfceYe2JGGk4BxM9m2GcFgWblwxvJes0aiNkYUarYdtYXgQNmkTJmOGB36rmuEBwwO/jUPlHQwPVBaUswtMAU9I4G89sJz4qHhTIJbgAXXw3JYc5DCRfR5ouzXS7Ak0bOE/Hb04akc+TtuRi79UNiBnyIAakwVVI+adoXrEDAqlOiMKB4aR3zeEkmEDKkdGdx7jPr5mxIwKwyg+auvCr/LKsM/6NLykWB7QV9zgLA/cSrohAv2S89OwwQOXA/ahzRjJPxa6HZ+DIX1/GHOOgjH3eBhzIhmOgzHnGCWM5B6DkRzajuD5les9Cob0A6FL/jxMRRdgaiAZwmF1V0nc/brbGFkhuP/PwnKRDA/CImtCZcrwwG91MzxgeOC3cai8g+GByoJydoEp4A8YeMYHlhMfFW8KxBI88NSe4YGnGtpc94QH30stwMrUArzT1AH9pF2ZbcEpBHYGl4DTJeCYcWHKOaME+8zMrv1ex046Z1A5qMc9RTXY59NU1eCBp5LhgwcyZDEDh34bTIUnQJ/2VYyWXY6poQ8xbS7E9Gh+ZIIpD9MjWXDod8Cu2wa7fjumRzIxTfERKIPTXACnuRBTfR/AXHEL9CnLYCpeCbsuC5KTneJ5tsWg1hkeBCUbJ/JQgOGBhxjzVxkeMDyY3yLCt8XwIHzacs4LKOAJCfytL5Ccd8WxArEAD+jrHI0NJudiNB6dHFGOjIwoHsu3b9+uzLPMsy1or5F6w4OfpBZgbXMnzI7pkAs7IwTqdUbcVxI+eEDtjGZMyczMVGb0UG2qRurUSS44DMkwFZ0IffpyWGpuw8xEG2btJiQAEQiyC7LkhOSahDQzrvzK0vScs8IInF+5WprxoRHWuiehSz0UpuKLYDfkQXJNhdxGYiED+m8jh4k0Sw/9h9FwGbJIUGVheKCKjAmdCcMDv9VP8ID8lpDjU7KCpHcTnqrRr1y8IwQFGB6EIB4nDV4Bf8DAMz743DllLCsQC/CAHE92d3WjoLBA8Xzf3d0No9GoQAPq2NE0ejSGONIL+zxYWHFPeHD0nOXB+82dMNkdCycMYC9ZLNTqDGGFB+Pj48p0jfn5+aipqYFer1dnjLo3PMhYDmvtbcpMAwFcuoqHEKqQAVmaDQqwmItT8SwLZyXBaWmCte6phIQHBArov2toaEjpiKjWxkh0hgcLNz3eu7gCDA/8auSGBzRVY1FRkeIEleBfWIci+S1N+Hd49hf8rYe/FIl5BoYHiVnvUb9qfze6Z3zUC8kFiIoCsQIPOjo7kJefp3wF7urqUsajE+mndXrxprnSI70wPFhY8ViHB/RyaDKZlE4dtTGyRKCvxCEvu8GDZbDU3IqZ8faQs469DHzAA30epJnEsDwgMEpDsAhO0RfM5uZm5eulKvXI8EAVGRM6E4YHfqufnJ2SNWRVVRUqKiqU9xB6ZjA88CsZ7whSAYYHQQrHyUJTwBMS+FsP7QycOlYV8IQH33ynFxuarDCPh9EDeBBC0Qt2V3eXYnmQnZ0Nsjwg80D6Ykdfh8nkNxoPbIYHC1dmrMMDanf0Mkjm5NTGCFCp0s4YHng0HIYHND1oaWkpsrKyUFdXp54VFcMDj3bGq0EpwPDAr2wEkt3DKfv7+xW4HI2PGH4LqPIOf30Hz3iVT8nZzSnA8ICbQlQU8Ly5/a1HpWB80qgrEKvwgB7S1LmjzpwqHbogaoLhwcKixTo8oKtzty9V2xjDA4+Gw/CAhmCVlZWBwCjBAwJVqiwMD1SRMaEzYXiwYPXTsCN6D6EQ9tlTFixJ+Hf66zt4xoe/FIl5BoYHiVnvUb9qz5vb33rUC8kFiIoCU9MSilptuHnrEMjyYHOLFeOTkR8CsNDF04PZ2/KA4IFqjsUWOvkC+xgeLCAOufzzmKoxFn0eLHx1IexleOAhHsMDhgcezcFzVbggD/VDeuEBiAsPh7jzUkiZ6wE7z8ThKVNY1xkehFXeWMrcX9/BMz6WrieWysrwIJZqK47K6nlz+1uPo8uN6qVQR5fM6WkcK42RpnFxanRyyY3ZjJCgm3Aho9+OD9rGsa5rAh92T+DDnsmgw+q2MTxbaMRPPhvAEe/24sGCEbzVYgs6P3dZ1nVOYF3HBD7pnEDjqBPTIngP4gwPotqkgz45wwM/0jE88BCG4QHDA4/m4LnK8MBTjeisMzyIju4aPKu/voNnvAaLHRdFYngQF9UYexfheXP7W4+9q9JmicnklMa/VVdXo6WlBWazWRVnfrIMjNsFcnom8JONQ/jSf7qxzzu9+PLaPnz5o/6gw74f9uPgD/pwxHu9iuXBVz/ox5c+DD4/pSzr+rHPe7340v96sP87vXih2oLRqeAdzTE80GZbX6xUsQYPPIcouNcXu8ag9jM88JAtMeEBtS+3yTNNO8vDFjyahHuV4YFbiej9MjyInvYaO7O/voNnvMaKHDfFYXgQN1UZWxfieXP7W4+tK9JuacmBH80NT/P+khdeejEk64NQF4IHY3aBzK5xnLNhCEmvd2G///Xgy2t68fl3epEUZPjcml7suboHe6/uwZdW9+Bzq3uRtCa0/L60phcHrO7Fvm/1gNafqWJ4EGr9x2L6WIIH1JGj+5TuV/KgTU7syIJIVV8H7kpkeOBWgga37D5VYxzPtkDtjCzSaPaOwcFBxeEaTc9I8CAnJ4d9Hni0DDA88FQjOusMD6KjuwbP6q/v4BmvwWLHRZEYHsRFNcbeRXje3P7WY++qtFnisbExxeKAnF+Vl5eDTFLVggcTc5YH528ewj5vdWPFRwO4fLsOV2YYcFmGAZcsMVCaS9MN+GmqHit36HHRdh1+kqrHxekGXEr7lpgfHf+zdAN+maLHuZ8O4sh3e3HoB314qdYKiz1Ey4OuLgXIuGdbYJ8H2mz/nqWKJXhA1i1kNURTf7qthmjokRpDjjw1UdYZHnhIkljwgDy0EzQgx4g0PSNBBJ1OpzwrGB54NAtaZXjgJUgUNhkeREF0bZ7SX9/BM16bJY/9UjE8iP06jMkr8Ly5/a3H5IVpsNAED1pbW5WvSGrDgymnQOHAFC7cMoRvrO7BvRl6FA3aYZ2RoJsSGJ5cWtBNCgxNuNBlcaLVNI2mEQe6rU4MjLtA+ygsJU/9FKVxoWFkGs8UmnDeR30485N+rGm0weoQQdeWMmxhDh7QdGY0VSPDg6DljFjCWIMHNCVjfX09cnNzUVlZqVgfMDwId3NJLHhA/1sEqMgyjdoZ/ZcxPPDTxhge+BEmgtEMDyIotrZP5a/v4Bmv7SuI3dIxPIjduovpknve3P7WY/oCNVT4cMIDu1NC0cAUVm4ZwmFrevBwtgENRody9TOSjGCCU8iwz0iYcEoYnxbK+rQILi86P+U3OD6Df5SO4oKP+3D+p/14t8kG23Tw8IA6cH19faioqEBxcbHiU4JewsNiUr6EtsSzLSwsVizDA2prZE7O8GDhOg59b2LCg8LCwp3wgKwPSktLQWC0trZWGS4Tuq7KPKOQB3ohbf4I4uozIG65CHJNGTBmVSX7sGfC8CDsEi96AoYHi0qUKAf46zt4xieKFpG+ToYHkVacz6co4Hlz+1tnqdRRIPzwwL4THjySbUDTHDxQp/Sh50K+GQyTLrxUtgsevKcCPKCx6J2dnYpVh8lkUuZVZngQen2FMweGB37U5WELHsIkFjygYQtkbVBUVIS8vDxlnfxr0DAG8nvQ1tamDJ/xECj4VWpnDA+C149TAgwPuBXMKeCv7+AZz2KFRwGGB+HRlXNdRAHPm9vf+iJZ8O4AFWB4AOgnXHjRw/IgVHhA0tMXYLI2IP8RNIyBFoIH7hBg9ah6GFseLCxnPMADamvuNqYarGJ44NFwEhce0LCF3t5e0HAZ8o1Dli4WiwUEGFRZGB6oImNCZ8LwIKGr3/Pi/fUdPOM9j+d19RRgeKCelpzTEhTwvLn9rS8hOz50AQUYHgC6MMADb8kdDgeGdcPo6++DwWhQ74Xb+0QLbDM8WEAcAj6yDJtjGv/p6MXRqQVYmVqA95s7YbLPDrVZOPXCe51CoFZnwH0lNdjn01S8VNuCvlErJEleOKGfvQQJPH0e0Ewp5NjO7RmfOnc0+4IqwxgYHnjUAsOD6elp0P8ZBYKjqrQxUpjhgUc749WgFGB44Fc2gsl079JzgYKq967fs0Zvh7++g2d89EoX32dmeBDf9avZq/O8uf2ta7bwMVYwhgeRgQdWmxXVNdUoLCpEQ2MD7HZ7xFsKw4OFJY9leECe8OmrcH9/v+I8sampSbVpV5VOneSCw5AMU9GJ0Gcsg6XmVsyMty8saFzuTVx4QMMWyJdL2Py3MDyIyzsmohfF8MCv3AScrVbrzmlXCTSrZjXk96zR2+Gv7+AZH73SxfeZGR7Ed/1q9uo8b25/65otfIwVjOFBZOCB2WxWxg2np6crjhSJ/Ed6YXiwsOKxCg+oU0eO63p6epQx6bRN0zeSV3z60hTywpYHHhIyPGB44NEcPFfZYaKnGtFZZ3jgV3d6FgwMDCjTrJLDU7JUozjVhrf5PXN0dvjrO3jGR6dk8X9WhgfxX8eavELPm9vfuiYLHoOFGh8fV5z60XhW8thO5s5kzhbqQo4IZ2db0L7DxEgMWxgdHVWmO9uxY4fiaIxMziO9MDxYWPFYhQd07xI8IMd25KQzOztbuZeHh4cZHixc5UHsZXjA8MBPs2F44EeYCEYzPPArNg0zIsBMM6fk5+crlmpkAcnwwK9kvCNIBRgeBCkcJwtNAX/AwDM+tDNwarcC1ImlBwp5zqY546mTy/AgtKka3dp6/rrhQUpKikL+GR54qqON9ViGBzRsoaurS4EHOTk5ytAFhgfhaFcMDxge+GlXDA/8CBPBaIYHfsUmKwMadlRSUqIABBrixvDAr1y8IwQFGB6EIB4nDV4BT0jgbz343DmlpwL0IkgdWerc0hg4esCo4QCLLQ88VYaib0FBARgezNdFS1uxCA/ItwF9SSLwRxCQLA8YHoSzVSUePKB2RR0O+v+iDgfDAz/ti+GBH2EiGM3wwK/YDA8ehnd/wq9YvCMkBRgehCQfJw5WAe8b3Nd2sHlzut0VILM1AgZqQAN37gwP3ErM/rLlwXw9tLgVS/CA7lV6GRwaGkJHR4cyfpUsDcj6gOFBOFtXYsEDamcmk0mBUu3t7QoEdU8HqrrK7DBRdUkTLkOGB36rnOEBwwO/jUPlHQwPVBaUswtMAV+wwDsusJz4qGgpwPBgvvIMD+brocWtWIIHBPwo0BAjGstKX4PJkzZbHoS7ZSUWPKA2Rm3LPTWj2+qA4lVfGB6oLmnCZcjwwG+VxxM8SLnh/d2sCLz7CGpsf3rOq3715B3+FWB44F8b3hNGBQK56cN4es5aBQUYHtC05bMdPPoNBR64X9PpN9hAVUoOE5tGzHi+ugknbM/FDYWVKNMZMTY96yAz2Lzd5VOh2UQ1i1iCBySUu33R12Fap5lTGB6EuwklFjwgNal9uYO7zYVFZYYHYZE1oTJleOC3uuMJHpgahiMCD3q2N/nVk3f4V4DhgX9teE8YFWB4EEZxI5R1osMDmj+ZHtbur8Ke8ICcUwbsMJFeqKlzGGKALMMlBJqMo3i+qhEnJOfghoIKlA0bMO6Ync5PlkI/F50nVpdYgwfeOjM88FYkHNuJBw/CoaLPPBke+JSFI5egwIwT0tZ1cF14FFxXnQHp/dcB88gSMojfQ+MJHlAthdv6gK0Ogr8XGB4Erx2nDEEBhgchiKeRpIkMD9xfgXU6HWgcOnXqaNyw22HiUuCBwe5A7agFlSNmVJksqBoNLlSPWlFhsmB9Vz/uLK7GkdtycHF2Cd5t60ahYQR1ZiuqRikEkT+Vi8o3akXH+KRi4aCRZrikYjA88COXArBccBiSYSo6EfqMZbDU3IqZ8XY/CeI5muEBWSHQcBnqjLiHMahS4wwPVJExIpnQA15rgS7cOQ1pyzqIC4+CcMOD0Tl4oLXyussTkQqDcr/SbAvFxcVxMdtCuK0P2Oog+IbJ8CB47ThlZhXSjgAAIABJREFUCAowPAhBPI0kpeei3SmhaMCOlVuGcNiaHjySbUCT0aGREs4Wg8qpm3DhxdJRXPBxH87/tB/vNYU2VSO9XA8MDCjT5ZWWlirO7EZGRpSHdkZGhhIfqOXBJ/06XF5QhfOySnF+bhl+nFceVLgwrwI/zqvAiqwSHLkjF1/ZnImvJ+fg1IxinJtbhgvzZ/cHlX9uOc7PKsH5+ZV4qKkTlhmXpuo40MLECzzIy8tDdXU1CF5RBy/kheGBh4SJDQ8IjNJ/F826QENkCI6qMbWvIjDDA492puFVemjS/8rEBGCzAjYbME5hLLphYhwYHYH0ydsQF3wH4srTIP3vJWCgB5iajG7Z3NqQVqQZldU5DQgRsYqmZ0Fvby+KioqQn5+vTNsY61M1hsv6gK0OQmuWDA9C049TB6kAw4MghdNQskSGB+SNnDzg5+bmIj09XXnJJmd2bW1taGhoQHd3d8Cdur+19eALmzKR9PF2fGF9Kg7dlIFvbcrEt5WQgW9vCix8a3MGvrU5E4dvzsQhWzJx0JYsHLwlS9n+prIvA9/eHFhes+fMVMpx+KYM7PdZqlK+pI0ZOKekFvo5Hwoaao4BFSXW4QG9COr1erS0tCjTNlKbo+EzIS8MDzwkTGx4QP9tNASrtrZWgaHNzc3KXPEeAgW/yvAgeO0imdI5DbmrBXLmFkjvvAJ5zT8hr6HfVyBFK7zzilIW6e0XIT10PcT5+0NcejikB66A/MazkN99NXplc2vi1mr1S5C3rAU6m2ehhhSZoX4E+Wh2Hrp3CS4T+KNhlQQEY3UJl/UBWx2E1iIYHoSmH6cOUgGGB0EKp6FkiQ4POrs7UVBYgOzsbKUjRw/pyclJ5avd1NRUwNNivtzZj2U78pC0MR0/TC3A3YVVeKKkBk+W1OJJ5ZfWAwtPlNTioeJq/L6wCtfnV+LXhZV4oLgKjxVXB5yH+1xPldQq5XioqAqXZhVhj43p2Ds5F7+saoTROaOhlhh4UWIdHlDHjr4uUTsjkEDgQJUXQ4YHHo2I4YHRaAQNvaIpQevr60H/Z6osDA9UkTHsmUyNQ87cDPHQjXCdvgzinMMgLjgSrpXfjXoQF34X4qLDIH76NYjLCCAcAnHRkRArj45u2S46Gq4Lj4Q49zC4TtkPYtV5kFPWA6NGQIqM9QE9H2w2mwINCCLQcEpVhx2FveH5PoHa1gdsdeBb56XEMjxYilp8rGoKMDxQTcqoZZTo8KCru2sePKCHND28qTO3lA7dGz2D+HZGEeir/tUltcgeNqLFbEW72bbk0Ga2oZH8GoxYUGw0o3zEjIZRC1pHl55fh3J+Kyr1JjzT0IY9N2Xi+NQCPFbXCivDg93uO6cQqNUZcF9JDfb5NBUv1bagb9QKSeWvTtS2aNjMUtvZbgX2jGB44KEGwwODwQAajkVgtK6ujuGBu3UIF+ShfkgvPABx4eEQd14KKXM9YJ9wHxEfv5PjkFM3QNz5c7iO/xzEJd+DuOUiuO64Cq4/XDX7S+tRCOL2KyB+fynEredA3Ho2xO9WQtzxS4golGXe9d95LVy/vRjisu/CdfweEJedAHnruojCA3omuB05E2QO5n1Eiw1YbesDtjoIvZYZHoSuIecQhAIMD4IQLYQk7o6G+zeErHYmZXiwCx7QMAWCB9SpW+ryv94hHJtVolge/K6mBQN2bfmMGHe6sLprAHttysS5aYX4d0M7xmfY8sC7niMFD7zPq8o2wwMPGRkeuC0PGB54NAtaTRR4MDUFOS8F0gPXQZyyD8RDqyDW/gdS6iZI6VsgpW6OYtikOEyUP/oP5A9fh7zhHUgpGyGlRblcmdshffo/iEd/BXHuwZCuOBly6meAzUxzoXo1JN5cqgJqWR+w1cFSlfd9PMMD37pwbJgVYHgQZoE9sif6TCb14+PjyhcktczYGB6oAw/e7h3CMXPw4LbqZvROTEGQuCEslNozBJuVBBlWhxNvd/Yr8ODstEL8k+GBTzkZHviUJQYjGR4wPPDTbBMFHjjskMtyIP3xJohT94f499OQm6rnHAGS00S3A8VI/44BE2OzHfJRPWDSAxbTbHkoPmrlsgGTE0BHE6Q3np611LjqNEhZW4AJG8MDP7fTUqLVsj5gq4OlqO7/WIYH/rXhPWFUgOFBGMX1yprGRg8ODipjV9vb20FO1ggghLowPNAuPAi1bt3pCR5YHNN4i+GBWxK/v+GCB2paC/ktPFseeEiTePDA3cbol2AzwwOP5uC5mijwYNoOuTwP4qGb4Tr1AIi3/gG5v2t26kZPPXh9vgL6Acir/w5x2fFwXXU6pOytwOQYw4P5KgW9Far1AVsdBC39bgkZHuwmCUdEQgGGB5FQefYcZHFAswDQzAAVFRXKi6EaU28xPAgDPKhSx/JArdbF8CBwJdWGB9SRI8hHsI86c2azOXyesxkeeFR0YsEDamc0NSNNNUu+DsjJGs3o4XaYyD4PPJpGosKD/74AubdDGbbhoQaveisw3Af5f89DXHocXFeeDimL4YG3RKFsh2p9wFYHoag/Py3Dg/l68FaEFGB4ECGhAeVlsLW1VfGcXV5ezvDg036812SDbTp4D8j0da6rqwsFBQXIyspSpmYM1ufBvGELDA/CemPE0mwL1MZoVgWaErSyshJNTU0wmUxB+dVYVFSGBx4SJRY8oHY2MDCAmpoaVFVVKes0xRvDA48m4V5NJHhQ5mF5oMCDdoYH7nbg75fgweoXFHggrjodcvY2tjzwp1WQ8cFaH7DVQZCC+0nG8MCPMBwdXgUYHoRXX8/c6UsSwwMXXiwdxQUf9+F8leBBZ2cn8vLykJ6eroAEhgeerU6b67EGD+iLcENDg9LOCCDQl+FgnHIuWhsMDzwkSix4QN7ZyeFrUVER8vPzlXWa5o3hgUeTcK8yPHArwb++FDAMQn7nH8qwBXH1Csh5OwC7StOc+jpfAsYFa33AVgfqNhaGB+rqybkFqADDgwCFUuEwhgeAbkJdeEAduP7+fmUYSElJifK1jl7CyQR4qQtbHixVseCPj0V4UF9fv3PIEZmTMzwIvv4DS5lY8ICgJ1lRFRYWKu2MQII3PCALGFUWglQDvZA2fwRx9RnK9H9yTRkwZlUl+7BnwvAg7BJH6gQyTUdp1EHW9UM2DEM2GSGPjkA2G4MLNgvklhpIrz2mTNcoXXUS5G0fQB7ohmwyQDaHkLdJB1k/CHm4H7J1FLLTmdD+J5ZqfcBWB+rfVQwP1NeUcwxAAYYHAYik0iEMD9SHBwQJaAx6b2+v8qXOYrEojsbcHbulQASGByo19ACyiRd4QO1rKW1sUWnY8sBDosSCB56WB2RJRfCAhi2QfxyyRCDLF4YHc82D4YHHfRKjq3OAX+5pV3wSSJs/gLT9Y0jZyZByd0CiKSqDCUVZkDe/B/HnVRA//QbEL74L6d+PQ0r9bC7f1ODypbJkbIK0dR2kTe9CqiqCZBmFLFwxWgGhF3up1gdsdRC65t45MDzwVoS3I6IAw4OIyKychOGB+vCAhJ2enlZeqsm0nBxQEjigQGOI6TfQzh3Dg8jdC7EKD6hT5zlswd3WAm1jiyrM8MBDosSFB+RUl4AoPTN0Op1iUUWOFMk6QZWFLQ9UkTHsmdBsC/Hq84DggSxDKkqD+Ns9EL9ZCbHqHIgbzoe48cdw3RRcEDevhLjuTIiLjoBYsRfEmV+G+NnxENefA3HTBUHmS+kugFh1HsS1Zyr5SOvehKQfhuycDnsz0PIJArU+YKuD8NQiw4Pw6Mq5LqIAw4NFBFJxN8OD8MAD99dfdweOXrDJoR2ZlpNVAn3RC2RheBCISuocE6vwgDp15MyOzMkJVtHsC2TtQtOwEkgIeWF44CFh4sIDglR9fX0KDCUgSv9pFNz/cR4iBbcaB/AAw/2Q/v4AxMrDIe68BFLmZ4BdpWEdwamqfqpEgAcZGyDuuQLirGUQ55GlwCkgJ4fBhxVzaU+GuOb7ENf+AOLKkyGuPC30PC/9PsTZh0Gcthzin09CGhqEPL07PKD7lO7bqakpJdC6aveu+q0spBwDtT5gq4OQZPabmOGBX2l4RzgVYHgQTnXn583wIDzwYL7KUKbUI1Nf6ujV1tYqD2/vY3xtMzzwpUp44mIZHpA3/J6eHqVzR342yJycHCjSC2LIC8MDDwkZHqgKDDyUpS++Me3zQBKAfgDSPx6EWHkExJ2XQcrcEH9O8eIdHgCQcpMhHloFcd7+EL+/ENKHb0Da+C6UYQyb3oe01LDlA0gb3oP04duQ3n8D0to3IX26ei7PIPKj89OQis0fQPznOYjf/xzijIMhXnkcko4sD3b/36cPFu7hlPSsoPWw3cue93WU1hezPmCrg/BVDMOD8GnLOS+gAMODBcRReRfBg5aWFmRnZ4OnalRntgVfVTQ6Oqo4HUtNTVV0pi/EgSwMDwJRSZ1jYhUe0BdhAlI0Hp2c27ktEWhsOg2fCXlheOAhIcODsHU4tAAP6GssOZ0jJ3bkMG+nozwTZPMCgcaZjxght9RC/O0OiEu+AXH7BZA2roY8RI7szAund+dNTvmMesiGuXOTN34R/LTBHg1XvdVEgAeF6RB//i3EmQdAeuzXkFsbIPd3Qx7sgzzYu/QwROl6IPd2Qe5qB/lUkPu7ZuOCyY/SKHn2QspLg3j2AYhzD4d45QlIep3PYQv0LCDrtOrqasVSjZ4PDocjYa0P2OpAvb8E75wYHngrwtsRUYDhQURkVk4yPj6Otra2ndO90RhWNb5W0tBBu1NC0YAdK7cM4bA1PXgk24AmoyNyFxfAmaicas+24Ou0BA8KCgqwY8cOZZozhge+VIpuXKzCA7c1C8EDmiI0JydH8YHA8CAc7YngQSOsdU9Dl3oYTMU/gcOQD9kVn1OuuR0mumdbIJ8H8QwPZMsopJpySKkbIH32LqRN9HV3HcSWRcLWjyA2rYX03qsQd18MsfIAiGtOgHjuTuULs9j64eJ5bFkHafPa2S/U9FU6Y4vSScWUxtpWIsCDomyIx34PcdoySM/eA1jNAPn2oGFgWgo0i1NzHaRXn4HrvG/NDlvQ633CAwIFdP/StKv0LkLrNLQtXocu0L+/P+sDtjoIx7NxV54MD3ZpwWsRVIDhQeTEJk/ZZMJGDteamppAndxAx+MvVEqGB/PVccODlJQUtjyYL41mtmIZHtCwBbI6YHgQ/ubktLbCVv8s9KmHw1RyMaZHiiELFSw8wl/0JZ+BQIHnVI1xDw+62iBW/wvixgshzjho1hR8xcFwrThokUDHHKx0NsUpe0OclATxgz0hTvkqxIoDlX2L53EQXGR6TuHMr0PcegnkkhzAbFpyvYU1QcLAg9/NwoNn7gaso0CAforCqr135uR8WYEHf4HrvG8uCA/I8oB8ltCwNoKBNJ10vMMDf74P2OrAuyGpu83wQF09ObcAFWB4EKBQKhxGoMBmsymO/MihH9FpNZysMTyYXzlxCQ9kGdZpJ97u7MdemzJxTnohXm1sx7ha3tfnSxj2rViDBwT+aMgRfUkiHwcEARMdHkgz43AYizDZtxWTvVsx2bcNU/3JKoXtSj7jra/DVHIt9KkHYCTvJIw1vYCJno2Y6p/dr8b5qNyTvZsx2bsFDkMJZiYGACkwJ6tq3ij0fCBg4O5wDAwMxLflQVcbpLdfhvjZyRCnHwjFS/6d10Dcf8NcWAVx/8JBenAVpIdWgX4XO3bX/hsgHrgR4neXQbr8WIhT94O4+gzIRVkMD9Rs0IvlRS8u5POgKAviMYYHi8kVC/u9rQ/Y6iD8tcbwIPwa8xl8KMDwwIcoYY5ayvSBgRSF4cF8lWIFHtCrk0tImJ5xzQaXC9N+gmNmBsbJKbzR3qfAg7PSCvFSfRtMdoffNDvzovxdLjiFBOq0a2GJJXhA96vbDJUshggcDA4OKl+JE3nYgrAPwdb8FxgLr4Yh72oYC36FkYJVGClUI9yAkcIbYMy9GPr0o6FP+QIMqQfDmH0hRvKvU/apcp6CVTDmXwdj7lUw5v8Klvq/w64viYp1A00tSzPENDc3K4CKZvIgoBAWU2cN+DyQezogvfcaxBWnQlx2IqR3XoWUtgVSUTakgkxI+QGEvAxIeZmQ6DeQ4+kYyrsoB9L61ZAeug7igm9BXPMjZUpExWReC3+Q7jIkhOUBwwN3dcf6r7f1AVsdhL9GGR6EX2M+gw8FGB74ECXGohgezK+wWIAHVGczQoJlyo5+sxV9oxbll9a9w4DFhn6LFY36ETzf0Io9N2fg1JR8PFHRgGbjKPrNtt3SeObRN2pV0uvHJzDt0oZDsFiCB9R5cwMEskAgPyU0PWOiWx64Jjthqf4l9JnLoEvdD7qUZdDtWAbddrXCcui274fh5L0xnPx5DCfvCd32r87lT/tUOg+VOeVr0KcfDnPlHzA1lAlZRN5fDLUzGrpAbYwCrYdt0QI86O2EtPYNiCtPh/jVOZCLMyEPD0CeGIc8PrZowLgNGPMI47ZF01C+oEDnqC+H9MojEJedAHHtmZCrCoExS9gkDypjhgdByRaWRDxsISBZ3dYHbHUQkFwhH8TwIGQJOYNgFGB4EIxq2krD8GB+fcQCPKDO87jTidRBPf5c3Yz7yuvxQEUDHijfPTxY3gAKd5bVYWV2KfbYmIFDt2bj3Iwi3EXpfKTxjHuwohFP1rbgg+5+DE3Z54sVpa1Yggduiahz5/4KTDOnJDw8mOqBtfZmGDIPhD59b5hKV8JadztsDffD1nCfSuEeWOvugKX2d7DW3g5r/d2wNdyrUt73w1Z/L0bLV8GYfSL0KfvDXHkX7LqCqFgeeLczd1tzx6v6qxl48OYsPLjhPMg1JcC4VdXLXCgzubMJ0utPQvzsB7PwoLoIGIvc+Rcq2859DA92ShH1FYYHAVWB2/qArQ4CkivkgxgehCwhZxCMAgwPglFNW2kSHR6QuS99paNA67EAD4QkYWTKjqcb2vG1zZlI+jQFe3+WimUb0rB8Q7rvsDEdyzdnYvnWbCzfkjW7TnF+jl+2IR37rk/FXutTcOjWLPymvA511jFNNN5YhAeewjE8AJRhC42Pw5BzIgzZyzHR/RpcYz0Q01aIaYs6wTGi+CCYGevCzEQvXFN6CIdZlbylaRuE3YSpoXyMVtwKfepyWGr+BIexBrK0+9ztnvUf8+tahAfVxRHtvCvw4LXHIX72/TnLA4YHEW3X9OLCPg8iKnmkTlbxQkakTpXw52F4kPBNIDoCMDyIju5qnjWR4QF9nSMTchqDTh6NySElOaPMz8/X9FSNQpIVfwV/ae7E/ttzkbQpAz/KKMKfSmrwQnk9ni+vx9+8wl/L6/GXsjo8VlqLJ0prlfW/ldftdpw73ePFNbghpxSHbcnG8dtz8VRVE9pt42o2vaDzinV4QO2so6MD2dnZqKioQCJO1Sjsw7A1PQND7kkwZh+Iyf7/QTgMkCWXimEGsssByTUF2WWHLJyq5k352o3lMFfdAV3KgbDUPgbHSJ1m4AH9v5HfAwoERlVbGB6A4YFqrSm4jBgeBKcbp2IFPBRgeOAhBq9GTgGGB5HTOlxnSmR4QGPRh4aGUFtbi6qqKqUTR/CgtLQUWVlZqK6uVsYPB6L9271DOCarBEkb03FbVTN6J6Yg5l5wAkm/lGOo82x2TOOvrd04JCUfX96ajd+U1SG3fxiNuhElNOhG4BnqdSOoHTaiYtCAyiEDaoYNaNAZ5x3jPr5+eASFfUN4va4VJ+zIw2kp+XitvhV9YxNLKWbYjo11eDA+Po7u7m5lGi5qe+TojqbnCnmhTp3kgsOQDFPRidBnLIOl5lbMjLeHnLXaGQi7Dram52DIPQXG7IMwNfgOJKdZ7dOENT9ZzMAxUgNL9Z1e8CCM/gYCvCICB1NTU9DpdMq0b+RAkfxtqLIwPJiFB68/scvyQBk2YVNFXtUy4WELqkkZckZLGLbgdrBL0zTm5eUp92+8T9UYsr6cQVAKMDwISjZOFKoCDA9CVTD66RMZHtDXOBp7Tg/ozMxMpUNHlgiNjY2orKxEW1ub4ik/kFqKJDygjoHNOYN/tPfiO+mF+Mb2HDzT1IFRp3qdFpvDgdQBHU5PLcTZKfl4r7kTQxNTgUgR9mNiHR6QQzuydqmpqVHaGA2VUaVjF1PwgCwPnoUh9+RZeDBA8GA07G1HzRPMwoNqTcID+m8zGAwoKytTLFzq6uoCBqGLahRv8IAegq4ZYNoOTDsA5zQw4/QfXDOQ2+ogvfYYxM+/D3HdjyBXFUC2mGbz8ZeW8qX86Ty0LsI8pSfDg0WbcsQOWCI86OvrQ3FxMQoKChgeRKySEu9EDA8Sr841ccUMDzRRDSEVItHhQVdXl/KAJksD+hpMhJ/Myq1WKyYmJgI29400PBhzzuCF9l4ckV6IA5Nz8ERjB4wOdb4sUud8dMqO5L5hnJZWiLNS8vFucwcGJyZDamtqJY51eEAdO3c7ozZG4ICsYEJeGB6ELOFSMtA6PCBrA4IHNCVofX09wwNflStLgGMSclMlpO3rIG15F1LaBsj5qZAL0ncPhenKzA7S+v9CPPhLiMsPh7jmWEjvvQwpfRPkwgzIdIxnWmU7DXJ2MuQdH0Ha+j6k/BSgrwMQ6gHf3S6P4cFukkQtYgnwgJ4P5BeHhrORZSSth23a1agJwifWggIMD7RQCwlYBoYHsV/pCQ8PurtQUFigfJ0jeECOE+nL/lKXSMMDsjx4vr0Xh6YVYllyDh5r7IBBRXhgmrJjG8MDvFTbApquUpKW3iaW2oZCPp7hQcgSLiWDWIEH5FuDLA9oGIMqSzxZHtDXf5sZ8uZ3Ie6/CuKuiyEevArSQzdCPHSz7/DIryHu+BnEZUdCnL0PxI8PgPjtTyDuuw7i4Vt8p3noZkj3Xw/prp9D3H8FxL8eg1yWM2uJoEql+MiE4YEPUaIUtQR4QO8fBAsIKlOgdVXgcpQunU+rXQUYHmi3buK6ZAwPIlu99FDxDGqcneHB7vAgmAd1NODBX9t7cUhaIQ5IzsHjDA8UJ5Kh3hNOIVCrM+C+khrs82kqw4NQBfWTftZhIg9b8CNPyNH09dJtecDwYAE5aQiCSQ/pX09AnLUM4ozPQ5y1D8SK5XCtOBCu032EFQfBddpyiFP2hzhtP4jT94c4fRnE6cvhOv2g3dMo+SyHOPUAiJP2hjj3AIj7roCU/hlgVwno+LpEhge+VIlO3BLgQXQKyGdNRAUYHiRirWvgmocKu7FY0EAx46IIblNncrZGY6aD/ULuLQbDA4YH3m2ChgWw5QHDA+92oeY2wwM11dw9L4YHu2viM8blgmw1QXrrSYiffA3ivCRId54O6bUnIb39d0j/fcF3ePNvkF5/DtJrz87+vvE3SG8+7/vYt/4OiY5/7h6Iq0+F+NFyiD9eDylvO+BgeOCzXhaLnLMOlIqyIB77HcRpyyA9czdgHQVcYfYlsVjZfO1neOBLFY6LsgIMD6JcAXx6ViDcCpAHXnKARQ7+aFpBgghkzhbqwvCA4YF3G0pkeEBWJ036ETxQWqtYHrxa14phsw0IYdQCWQtRZ47uV/ql7bAsPGwhLLL6y1Rrwxao7brbGbW1kZGReQ4TediCj5qkKSzHLZDfewbil/tB/DQJ0qs3QO6ohawfhDzcB3nIK1DcQC+k3i5I3Z2Qe7og9/dAHuz1fbxuAHJ/N+TCNEgP3gBx5iEQj98KuTRr1nmij2KpEsWWB6rIqEomDA9UkZEzUVcBhgfq6sm5sQKaU4BgAXn/p5kBaCYAtabeYnjA8MC7sccrPJiRJFicThgc0xhWghP6aScMHmFoyo6cAR1+X1ytwINnq5tQYzBB55ied5xu2jmXx2xe5hkXXD6ggBsckGNEs9msOL9SZWYF70qjbYYHvlQJW9wsPPCeqrEeshRGJ3h+robAAcEBmi2GAlmn0RSgnrMtMDzwIZ4kgAkb5A+ehbhiDh68/XvAqgdo38zM7AwKNBuDO7jj6Ncd3Pt8/roAhx1ycw3Ek7fDdfahEE/fDrkyj30e+KiSgKLm/mvZ8iAgtfggVsCnAgwPfMrCkaxA/ChAHndbWloUx370QkhWCGp0QhgeMDzwvkviFR70TUzh9dYu3F3VhOsrGnFdbQt+U9eKP9S34o76VtxZ34Y761pxRUktjkkvxF4b0rEiuwQ3ljfgLtpX36YcR8feVNeK66qbcH1lI66vasQr3QMKXNhNS0lSZlYgZ5w0NWNra6sCEcJifcDwwFv+sG4r8MBUC0vNXdClHAhL3RNwmKIDD8jSgDyzNzQ0oLa2VvHUrtPpds62wA4T/TQFmuWE4MHaZyCunIMHq+8Axs1+EgQZLVyQ2xognroDrrO/MQcP8hkeBCkngVJaGB4EKyCnYwUAhgfcCliBOFeA4AF1PGjarfLycrY8+LQf7zXZYJsWQdc8mfjSMBCy5sjIzABN20i+JBLdYSK9lpntDmzvH8bpaYU4OyUf77d0YngyjONzl1CLBDdsjmn8p6MXR6cWYGVqAd5v7lzUYWLtqBXXZJfg4E0ZSFqfhqRN6UjalIk958IXNmfii5szkUT7N6YjaUMakjamYY9NGdh7cyZoPx37f5vomEwkbUhH0md0TDouL61Dhw99qI2R1QF16DIzM1FaWgrq1AXTxgKRiN6pp42pMBV9H/qM5bDW/h6uiZ5Akkb0GE35PJAFxGQ3nOYCOEeT4bSUwGlrwoytBTO2Vr/BaWnEZN9GmMuvhy5lf5grblO2nZYGzNja/KajPJ3WBjjNuXCOpsBpyYaw90GWgp9qlf63Ojo6lP8ymnaW/tdoqjd6VtAzg+GBn+btFx6M+kkQZDQ5Zmyth3iS4MGhEE+R5QHDgyDVVKysKC3Dg6AV5ISsAMMDbgOsQLwrwPAA0E248GLpKC74uA/nqwQPunu6UVRUpLxg9/T0BD0tUizMtkCd7mmXgN3lwtSMS/lX4ptrAAAgAElEQVR1uFzwDrRveHwSm3sGcGpqAc5MycfqpnZ028ZBsxF4H0/b7jwpLR0Tli/rczd5sPCg0WzFrbml+M7WLHxhUwb235KFg7dk4Rtbs+eFr2/NxkFbs7B8SxYO2pKFQ7bM338I7d+ShX03Z2GvzZnYd0sWbiqvR88C8KC+vh65ubmoqKhQzMkDgwcyZDENyWmF5NBDcgwvEoYg7IOwD63FSOGx0GccAEv1jXCaiyFNL55eOIYhHHrIrgnIUuj+VBb6T9YSPJClKUz2vAFzxSUYLfkOzBW/gKX2fljrHoa17hH/ofYhjJbdCGPO96FL+SKMOT/AaNn1sNY+BGvdo/7T1T0CS83dMJefg9HSo2GuOBOO4XWQnJaFJFtwH8EDgp/0X0YwlCxdCB6QlRq1O2p/PGzBh4QMD3yIEgNRbHkQA5XERdS6Amx5oPUa4vKxAiEqwPBAfXhAHTgah97b26u8bNNY4cA6dbtXZizAA9u0E41GE8qG9CgZ1KNGZ0SDbkRxENioHwEFchZIv0V9Q3i9vgXH78jDD7bn4i/ldcjuHUS7cVTZ7z7enaZm2IDSQT2KBnRoN1thnwlf5zNYeNBsseHewkp8b2sWjkjOxYM1zXi1rQdvdfbhzY5d4V9t3XipuRPPN7bjlZYuvNbWgzc7emePmTv25ZYu3FBSCwIN39mWjT9VN2Nw0r5bw3BbHgQFD2QBp7keEx1vw1L1G1grV8FavVC4Hpaq6zFaej4MmftBn/ZFGHOPgrni57DW3LhI2lUwV66CpfLXsA9ugWtymJwo7HY9akVoCR5IYgK2pkdhzPom9GlJ0KftC33qodCnHg596mF+Au07HLqU5Rje/gXotiVhePte0KUcMHf8AmnTDoM+/RDo076gnM+Q9WVM9rwIyW4IWnMatkDAwBMekIULwar8/HxlOAPDAx+tN57hgcsJuaoI4pFb4Dr1AEhvv6g4dvShQuxFMTyIvTrjEmtOAYYHmqsSLhAroK4CiQ4PqB+jn3ThpbJRXPhxH378aT/eb7ZhzBn8sAWqIXrpnp6eVgJ19AgeUBwF2g70C3oswIPusTG83diGJ8rrcH9xNf5UWovHS+vwZFktnpgLtP5UWR3+WFyNa7KLlS/sB2/OwMVphbivqBrPlNfjybK6ncdTOkpDeT1QXIO7iqrwbnsPRuyOsHU9g4UHrdYxPFJai+O2ZuOk1ALk60dgc84odSxoRgRpNpD1hMXugGFiUhkeQZYVgjzZS7JyrEuSlCESb3f04ejkXJyUnIuXGtqgtzt2u+l9wQPq1Lnbl7vN7ZaQupGSC5P9O2AqvgnDm5MwtDEJQ5vmfmndX9icBF1yEnTbkzCcnIQhd1p/x8/lOzi339bwFJyjLVQAX8VSJU5L8IAsLWyNj8CQ8U3otn8O+oxvwJh7IkZyf7hoMOb9EMZcCifNhrwF0rj3KWmOhyFjP+hS/w/6jK9hsudlCIdhpzn2UkWm9uQJD8iKanR0FB2dHWhublZm6KH/OVUW8q1Bsw1s/gji6jMgbrkIck0ZMGZVJftAMpF7OyGtfRPiytMhbjgPcnVxcOePVXhAjhptZmBEDxiHgdERwGwCLKO7gmEIck4yxIPXwnXGfpD+9RTkusrZYz2Po3Qmw2w+Izpg3AbQLBRaXhgeaLl2uGwxogDDgxipKC4mKxCsAvEOD+hdwCXJmBEyXBTmOnLuDh3FDY/PKMMW3PCAfB5YHWJnp2/nsdJsHpTXbIfPv+oEBwgYUKB1ckJJ1gg0zZnNZlMAgv/Uu/bEAjyoMllwR1EVTknJx6Fbs3D0thwcl5yLE5JzcPy8kIvjknNw5LZZ830y0f/W1mwcuy0HJyjH53odn4Mjk3OUr/AHbM7EbZWNigl/oOBll4qBrYUCDx4trcXxW7NxcmohCvQmjDlnQOCA8qRA67PtUMK0EJgREggWeB7jJHjgmMb/Ovvx3eRcnJych5cXgAfk+d5teUAzpZBjO4qjdkZtjKZh9WXxQvBgaigHo5V/gD5lH+hTvqR0OA0Zy2HIONB/SF9gn6906cugT/sKdDv2wvD2vTHW8gKc1s6EgQeSaxJjLc/CkHk8dNv2gLXud5ga3ASHIQMOQyYc+ozdg7IvA/ahFEz2J2OidyumBpJhH06ZS+cjDeWjpMvC1MDHMJefD0PGvjBkfw+TfWsgOYN30ucJD2iYQl9fnwJE7Q47KND/mq82Ftgd53WUP3hgY3jgpdSuTbV9HlhMkEtyIG98H/K612d/t3wEOfnjufAJ5M1rIf75OMQtZ0Kcsw/Eg9dBrHkF8jY65pPZ42h984eQP1sN+aPXIX/yOuTybGBqYlfZtbgWx/CAnpsElWkoEoWlfMTQYlVxmbSrAMMD7dYNl4wVUEWBeIYH9PHH4ZQwOu6CzuLEiG0GlkkXbFMCtikXxuwC1ikX2k3TeK5wBOd92IdzPu7Hf2ssGLQ4MTZ3HB1LacwTMzDanNBZpmGedMHpoo5hYNVAOlNHj8YKk4NK6tgFssQCPKg2WRTLAIICNNb/mtxy3FVSg4cr6vFQ+e7h4fJ6PFpRj0fL6/FweZ3PYyjdnysacHFuOb5EzgbXp+LGneP/AxQ9EIE9jlEDHpySWogigwkTQQ6vcLgE1vYM4pjkXJy+PQ+vNXXA5vTh8E6WMTU5qZiNU6eOZlygjh0BBFqn6VdNJpPykuhxicoqwQOHoQSW2gegT10GU9EFsDU/hsne1zDV/5b/0PcWpjzDQsf2v4XJ7ldhrroRhuzjoNvxZUx0vIKZ8f7EgQdiEmOtz8OQ/UMMb90D4+0vwGUfhjQzCdk1BZl+vYOL9k1Cmh6Hy2GDy26FcNggOcfn0vlIo+RH6exwTXTCWn81DFkHwJBzCqb6P4Q0E3zn2xMekM8DamPU8QjLQvBgsBfSFg/Lg1q2PFhQa5XhgTzcD/HJexAP3gRx5akQV6+AuPpHENe4w5mzViE//R7E6V+FODYJ4pxDIC7/wdwxZ87+UhoK166AuOk0iF9/H/LqPwFm/YKXE/WdcQwP6F4msEzWQxRoOCXF8cIKqK0AwwO1FeX8WAGNKUCd2nicqpG6l9MzEvotTmxrHcNr5Wa8XWvBOw02vNc4hvcabXi/aQzvNtrwarUFq7YP44cf9OKHa/twe4YBb9Za8f7ccXQspVlTb1XAwuvlo0jrnIBhfAZOV2Am2NSRo5fv5ORkxTM+ecoPZIkFeNBstuEvFQ34/o48xWx/bWsXKoYN6DSZ0e4dRsxoHxlFu8E0G4wmtFOc93EmMwYtNrzY3IlDknPx5Q3puLOyCYM+TPgD0TGQY0KBB+5hCyenFqDQYML4Ah0sapsTTqfiKDLPYEL2XMgymLB1UI8/1rbg8G05igXHH8rrsGFAhxzj6M7jMo2jKB+1QG+1KfCA2hXNukCO7cgzPs2+QN7wCST4NCmXBRwjlbDUPwJ96tdhqbkXDmMVJBfNekGlUydQp3W8422MFPwUuu1fxkTnvyGmhhMIHkxhrPXvMGSfrMCDic5/znXkSd/wLOSc0tbwKxiylsOQczqm+j+C5LIFfTJ/8CBg6x/qjEkCIJIbwHAVeahv17CFmy+CTPCAzN0XWyhv5TwioPP4yy7Rhy3I/d0Qa/4DcfWZED/4CsQlx0P88hSIK07zEU6F+OVcuOLUXftpyAcd//OTIF14BMTZX4S4cE9IL/8GGBn0J7024uMYHtCzoL+/X3n/KCkpwcDAgPIRI+B7WRs1xKWIAQUYHsRAJXERWYFQFAin5YFjRkLRgB0rtwzhsDU9eCTbgCZjYF/cQ7kmSkvvABMOgdK+Kdycosfhq3tx9No+HPthP45f14/j5sKx6/pxzNp+HPleL771LoUeHPV+H47xOIaOpTQUd9TaPhyxphf3ZhnRpLNjMkDfCDROmByM7dixQ7E+iCd40GYZwz+qm3DyjjyckV6EzAEdhiemME1+H/yFGRem3cHPMUJIeLd3CIfvyMfXNqTh/somDMcBPCA/BwRMXq1rwUnbc3EshZR8HJtagKNT8hVYstemTOy9KRMHb8vGd1PycFxqgXLMcSn5yjSSN5TVopocUzY0KFCK4AGNTSd4kJ2drTi0I6/4AcGD6nvm4MHujhlDuQ+lmTEf8GAopM7dYuXRks8DSXjDg5chK1YA4YQHQ3PwYFlY4AE5gSXLg4A6HPQnPGYB9APAcN/s2HezEfAXLCOQm2ogrXsD4opTZn0O5KUCfZ2A1eQ/3ageMAzOnofW7QRmg9M44eHBYC/E+/+dhQcXHQ159SuQt6+HnL4FcvrmXSFtM2QKqfS7aXbdvT9jy2zcprUQT/wa4uKvQ1xzNKR3/wpYjIvdwtHdH+fwgO7f4uJiFBQUKFZEdrs9sHs5urXCZ48xBRgexFiFcXFZgaUqQJ6yiUaTqTNZIJApm1pmqfRVvnTIjou2zsKDR7MNaBmJHDwYtwvkdU/iwo3D+Ny/u/CdNT1Ysa4PP/64H+fOhXM+6seP1vXjB+/34nvvUujByWv7cNZHu4457+N+/PiTfvzwgz4c+r9uJP27C79K0aNuaAoT04FZHhA8oAd2SkqK8lU43uDBSzXNOGV7Hs5ML0L+sBHmaR+m9kttnADWDehwREo+9tuQhgcqm6CLE3hQrzOC/CTs8fEOJH2UjKSPt+8Kn6QowzRoqEbSpymz8R/N7f9kB/b6LBWX5paibEiHuro65ObkKPcvWR50dnYq04OSD4SA4UHV3XAYKuYsD4KoJD9JpBkbxjvewkjBTzwsDxIdHtC0icF1bP3IPC9aOAZVhQf0LKB2Rf9dBKWo80HWCAHBgxkn5NT1kJ65B9Ljv4P01B8gPX2n//DMXZAeuRnidxdC/PQgiEsPg7jrKkh/vg3SX+6C9PQfZvOgfLzDE7+H9Ny9kN59CXJTJSCCM8eOOXhAIKe1HuKpO+A6+1CIp26HXJkPTAf3nKVhI+KDt+G65iyIK0+DXFkEjBiBMdus40hyXkmB/FBYPQJtu/eRpYjFPDsE5X/PQ1x6JMTNZ0Fa/xZgG53XXjW3EZPwoB7Sq8/Add43If75JCS9HrJzdyemBJJp2BFZHdD9TO99DA801wLjokAMD+KiGvkiWAH/CtDLIQED6miQMz+CCeRIx9dCMGByWmDM7sK4w6V82adtX2FiWsA8OYPs3gn8ePMQDl3TiwczDKgatsM5I4H2+0pHceMOgTHFJ4ELZL0gAuufzysyvQNQXiX9U7h06zCWv9WNVZsG8Y+CEbxfY8GaKrMSVleZ8Z9yM54qGMHdmQbck2nAc0Uj+G/F7H73ce/XWvB4tgEXf9KPfd/sxs3pBrQaHJiaCaxwcQ8PqnfBg7whA0z23V9e5lVQgBtr4xQeNBlNeLyyEftuzMSh23JwclYxzs6vwLn5lThnZ6jAOXNxPy6oxAlZpfjK1mwcsjkDtxVWol5vVDzeFxcVobGxURnHyvBgGLamZ2HIPRnG7IMwNfAOJGd0Oiy+LQ9iDx4QMCBfLTRdI5k6B+xobXoK8r/+DHHuQRCnfBFixb5w/Wj5XFgG1492D+Ks/SHO+QrEyi9AXLA3xIqvQZxxAFxnHQjX2V+HOOdQiHMP3xlctH7OIXCdti9c5x0M6Q8/g5y9FfDlJySA/5yYgwcuAbmtAdJTd0Ao8OAOyFUFgI/OYwCXD3mwD2Lt23Bde5biu0BurgPIPw8NO/EMyjARjzjPbXr40rAtqxnye69CXPRdiJvOg7RxzexMDoEUJFrH/D975wEeR3H+YYVeE5wEDAZCC6E5oYdOMN10MD1UA6FDIPQWMP1P78WYZmPi3q3ee++9t6u63u9m9/0/syfZsizJTQbJ2tUzz+7Ozu3dfjt7unnn+37fWIMHUiekpgLlw1cR5xyC+OC/KCYTanh9eB8MhdbAg8zMTB0e/Fp9bBy8rw4PxsFN1i9xfFtAziD1KfDKGaW+7ACDWcXiDlNj8FHY6qaozUNZp5cKg49KWboHFIOf4g4vP5bZOW1hJ/vOamH6ym5Nf6DJEqBq4Gv6zmPwUdrhpaDVTV6Ti/aeAL6QsslzdXJuzx8SFHb5uGKZgcO+aeHtVDMlnT7sfkGPL7KmWLwRut0R2lxh2l1hDJ4IVu/a47Kt3SeIr3Pz0CoD+3zVwl0JZpp7ggQjGzeLqMODwXrUhuu2TXigUmOx8UJRJRMXJTA9s4jFze2UOtzUuL1aqXZ7qeotsq7W7WVmaxeHx2Zy4KJ4/p1dTEOPnc7OTmprarQZYbmtwwMdHkQ1D0YmbEH+bzCZTJrIq/RMk4B5o7MrhHyoM19CXLEv4uwYxGUTidwwubccQ+SGo9ctNx6DuO4IxNUHIq7eF3H1JMQ1hyGuO5LITccTuf1MxPTzEHdfhLhHlqmIey7WZrXF1ImIi/+IePx6lPS4tYNnORjUSm8s2wa+ckY1PJDXoQ3g+2lIBAOo1SUoL92LOGt/xEv3ouSngN8XvW45ESCLpjmx4f9V68KD01BrymBzUnHK93TaB4EHEp6N4mW0wgN56/rDG+1+KjInNGpVKcqHryCk58H7L6AYulGD/mh4WN9rVJVgIEBba9TzQIcHo7gPbgMfTYcH28BN1C9Bt8BIWaCww8sneRb+FdfNrasN3CZLrFHTFLhdrtcpJv652sjUJZ0c/GMrE2a1aLoBVy3v5q44E3fEGrkz3sj0BJNW7kwwIssdCUZuizNwy2oD/1zZxbwaJxaPdJPdtKuQzQO98ODyZQaOmNXKZ5kW2ns2f0Y8r83LE/EG9v2qhbsTzLTaQgR0eIDUPHhX9zzgGC1V44YFE2WazxqrXYMHkxYl8ExeKZVGOSgbvpMnW3qYHJ/FpIXxPJpTQpvLg9/r1TyH3G63ll1Bhwc6PBhJeCDhsvRGk95psmySm3M4iDrnLcR1fyZyUgzKk1ehLP4KZeW3KCu/GaTMQln+NcriT1EWfIiy4COUJV+iLJ+JsmwWysKZKD99ivj+I8SPnyDmfI4y+zPEJy8h7jwZcfHeiEevQVk+FwkB5EBYbWtBbWtGbWlC7bFEZ2SH+WcyauGBhARtTVoaROXdZ1HkIPH9F1DfexZlxj2I205AnPdbxB0nIV68DfXdZ1DffxHlvedQPp2BOvdL1LI8kIPKYZb14EF16eaFQMiwkUE9D3R4MIz5hz4U8KCm/Yj63YsoH76I+uOLqIteRV3yAcqX/0E8dgHiogmIx85HzH4ZZdE7qAvfQP3heZQvXoHFPxAszaWttoac/AIyM7N0z4Ohra0f2UIL6PBgCw2ov1y3wLZkgbg6F/es7GL/71rZ79sWjvyhjck/tvFXWX5YvxzzYxtHzW7jyB9bOeyHVg75oZWjfmzn2B/bOeqHNiZ918ofZrUycVYrB3zXyoHfR9f7ftfChG9a2O2rFp7NtFJjCuDyK9FwhkAEpz+ieSNEhDokVFgHHiw18JdZrXyUYaHZsvnwILvVy2OxBib2eh784vCguJpWjw8xzI/fLelvcqDgDIV5vb6VSXGZ/GFFCi9UNmAKrO8C2f99fjF4ULStaB5IzwO7FrYg4cGTuSWUGMzINI3DLXEmK8fEZ7Hvwngezimlwytnl9Q13kJOp3MMeB6M52wLUjBxbIUtyP4ovxekt8FwXmmD9ls5K/rTe4hpRxP5cwzKh8+D3QIBHwS8g5R+9VL0UCte8HvB3oNaU46y/H+Ir99FfPsR4rtPEd9+rM22ipv+jjjjt4gbTka8+gjiu48R3/ce/+4jxLfvouQlR+Pyh/n+HLXwwO1CyUlDPH4rkb/uQeTUCYjT/4g444+IKXtq2QzEhb9BXLQjYspvEWfsjTh9H8QpeyGm7I+YfhHKwu82mLlChwdRgKtkJSGe/xfi739EmfEwOHq0Wf5B+/kvUek0obx9NeKK3xI5dU/E1Xsibt8HcfcRiJsPRFz2W8R5OyCumIC47RDEdBkqMglx1R6I8/ZGffBKgvNn0VZWTE5hMZlZOjz4JW7beH0PHR6M1zuvX7dugUEskNTo5oHV3dqA/+S57Ty8upuXkkzMSDHxSvK6ZUaySTv2n9hubl3SybQFHdy+tIun4428mWbmqQQDZ87r4ODvWznhxzbO/7mdy+Z3cOm8dk6b3aZlZ/jN1y38K8lEar2LekOAmm4fZa0eippdNJv9GkyQs7iDLdssPPCOL3iwjmCihAcy/nYrLb9UqkbN82Ck4EE/W8jMKaPJ80AVXtyNs7BkTI0KJjZ/hhLYumrroz/bwtiDB/262KZtavDgfcS0Y4gcGoPy6SsQGH7me8g3cDlRMpJQHvsn4pRJiNP3Q5y6D5G//xFx4gTEEdshDolBHBFD5NjdiZz0e4Qsp+yDOHs/xJR9UD5/NpqVQbpyD7GMWnjgcaNkpaA8dB3izzGIs3dBXDABccHvEefK/RjEmb3rc7dHXPhHxAUTEVN2RVy4F+LeqSiLfgKPa4grj1br8GCUwgOHAeWl8xAXxyDOiUH8o/denxGDOD4GcVRMtF9MjkGcHIM4vV+bc3aEe88j+NPntJUWkVOkw4NhHwL94BZbQIcHW2xC/QS6BbYdC2S3eHkywcg+s1q4YWU3SysdSFf+0i4fpZ3eAcVHUYePnFYvsfVulta4iG9wkd/upcbgJ6HRzZXLu9lvZivHfd/G8bPb+NucNibPbuOw71vZe1YLO33Twgnz2rl5pYF7E0zck2BkeqyRO1Z0832pA6MjpIkvDmbhXxMeyJk6OZAzGAyaEKXclrHCfakac3Nz2dhsC7Nau5iclEPMonj+VVxNu8+/yfoPg9lnsLrR6HnwkyaYmMYfFsbxRFEVxsDme44Mds3968Y6PJCeB/X19SQlJWkZPX6pbAtqxE/IXk/QUkLAUkzQWkWwpxa/qRB7+YuYUk/FsGo3HBXP4etKJWitibaxlBKwFBJ2tqAEXajK8J4X/e/VUNs6PBjZbAuD2VnqIIRCIS0NqFzL741Bl4Hw4JOXo14EgzYeplKe32FHTV6FcvsFiKN3Rlzzd5SHr0PITAzPTEd55i6UZ+9GefYuxDN3IZ6ajvLEbYhpf0OcsQviH7ujfPEcWIbP9jGq4UFOGsojNyBO2BPxzPUoX72A+tPbKN89jfLFo6gfPYz6+aOo3z6POvutaPnPFYhLDkTcdwXK8nngcQ9jaAYIJp6GqoctjBLPgx6Uj+5DXHsA4vTtUR76B8r/3YP6wUOob8oMJvdGM5rMuA/lnQdR33sI9a07UR6Zgrh4P7h/KsHF39NWUUx2YSEZmZl6qsZhnwT94JZYQIcHW2I9/bW6BbYxC8iBv8w4MHFmC/cnmjTRQ2dAEBbqkCUkVE1UUGoDSHFB2TaiqDQ7w1yz2sRunzbz51kt/EWGNsxp49A5bRz0Yyt/+qGVg35o5dAfWvnLj21aiMShMlxiViu7f9HCo8lm2i1+AqHBZ5F+TXgg3XulKnlRUZGmUi6F7CQ8kCmS5MBO1jvdbtzhMBZfAKs/gM0fxDGgeIMhPmpo5YjEbGIWJXBbQQUVNic9vsA6be3+IDZ/9DyOgBRxFJsV2vBLwQP5Pv6IoNPnp9ThotTppsrlocHtpdHtpcHto9Hjo8Pn5936VvZflcpei+K5K6+ULKudJq88LttF29e6PJQ5Xdq56t1evOHIZl3/WIcHElLJtHoSUsnUqxJeyfRc6y2q0Abt9vKnMcbuh30LUzVGAmbc9XOwl76GreQl7GVv4Ch/B3vZa5gzL8cYfwiGVTthybwcW9GzOMr/D0fZG9hLXsJW/Dzu5iWEHJ2oYvjwmPWuY5AKHR5sXXggn91AIIDZbNbAqNRBkEK7gy4jCQ9cDtT0eJS7piLOmITyzjMo6fGoTfWo9RWotZX9ShVqTRVqRTHK2/cirpqIuO4vqD+9j2ozR4UEB/3AaFoJyuwvENNOQdxyDmpxdjTUYYj2Q1ZL7waPE3X2DMS0CdqMsfLN/eDezMwf0vMgNx3x8A2IMyeh/O8r1NYG8LnAaUG1dIKxDcwd4DCB2w4OK+rXbyEu+Avirst1eDDkzep3oBeEjbqwBY8T5Ye3Ebeehpi8M8qXr6LWlUTveWczanMdamMNaks9ancrdLdART7qzLdQLj0G7ruc4Kp5tFWWkVNUpIct9Lvl+ubIW0CHByNvU/2MugXGrAWi8MCowYMHEk3UGv34NzJV4cCL7vBENHiwwydNHPFdG9NXG3gt3cyMdDOPxHZzx9IublncqYVGvJhs5rU0Mw+t7Ob8uW3s8WUL9yeZabf6tVSOA88t939NeCBn5pqbm7XUZikpKVoKPW1WuK6OyooKmpqb6XI4yew08VNlPQurG1lZ10xCQ8s6JbWxlfvzy/j9qnQNHlyckscPVfXE1st2rWvayv1ltc3Mq2ogrqmdZrsTTyg8mFmGrful4EFEUaizOXirqoGTk3M5Ma2Ai7NLuDO/nLvyy7kzr5zpeeXcl1/BuSn57LEsme0WJ3BEfCY3ZJdwd+9x2e6uvHKuyynl75mFHJ+Sy+15ZZRbbHg2I1XbWIcHUtjOaDQiVfFbWlqw2WzIVKzrLSMNDzzN2Ar/gznxVEzxf8IQNwlD7CQMq/ele+UedC//Dd3LYzCs3APD6n20Y8a4SRjj9sMYfyj2slcJWJpQwlsekqLDg60LD+R3m8wcI+FUdna21tekiOKgy0jCA7cTNSsRcfclRKYcjPLd+6gtdVEFevmsD1a8btSvnkVccyDKzSegLvgSnD1jHh5EzjoAZckcVEu/EKCBqRLlDYkIlB8+IXLBEUSm6/Bg0D46sHK0wgOvC+WnjxB3nIM4ZmfU2Z+C1RzNpCHFKSNhkOkZ5Vp6cMltQzvKvJmIy49Fvf9KgnELaasqJ6ewSPtt0t7eroFA+X9fX3QLjKQFdHgwktbUz6VbYIxboD88kJ4HMvxAplHcnKXdE2HaahMxHzdx8Ox23imwUdzppaTDR1qTh1W1Lrjp3OoAACAASURBVJbXuEhp8lDQ7qW8y8eCUhuPrOxin29aeEB6HlgDoxYeyBngjIwMkpOTtYGcHNjJH91asTuo7XHwTlkdl8VnclVSNtcn53DTgPLPlFyOjU1jh8UJxCyI55DlKVyWmMmNWrvcNe1vSM7h2uQcrkrM4qncMvK6Tdh8Q/ygH+Zm/VLwICwUSk09PJhXxg4L4ohZnMieK1L406p0DlqVrq3l9qGr0vmjBAeL4rWwjV2XJjFpRarWpq+dXE9ckcp2y5KIWRjPqYnZ5HabcPk3fSA61uGBBAVer1frYxJWSa+DQdPqjTQ8cDdhy3sYQ+zhGGL/gDV7KraiO7AVTcdWeCc9hXfQUyTLnVqdvXg6PdlXY046HsPqCdhKn9bhwTDP5aYcEoGtDw9k6kYZeiW9qEpLS7U+N+hnHGl4kN0LD849FOWHj1E7mgd92zWVMkPBzBe01I/KzSeiLvganLZtBx6YTWsudb0NOSAMRzQ76fBgPetssELJTkE8f19UMPHVR6L9Rg7Sf61lIDyY8xnYrEP3ZflZjZ0o87/R4IFy7+WE4xdha2umtaub1pYWHA7H4HD517pG/X23GQvo8GCbuZX6hegW2HILjDQ8uLYXHuz7UzvfN3oIChUpJifDGmR4gwx5CPfuy/qyDi9vpZo4oA8e9Px68GC4VI1ydq6puYmMzCg8kF4IcmAn6+UAPSQEpT0Obs8uYcf/rWb3RfHsuyyZQ5encNjyFG0tt2U5aHkyB8iyLIU/LUvmkOXRdn3HZfuDliWz79IkfrsgjnMTsklu7cLs9W3yDf+l4cEDGjyIZdcliUxclcZBcZkcHJeprfu2/7Q6gwNWpnHAilQO7G0jj/Uv+8em8/vlKey4MJ5TErLGLTyQN1zew74yZAcYaXjgacGW/wSG2CMxJf0ZT8uPUU0DWy3BnmoC1ppo6akhaKslZK/D3bKcnoJHMMTtF4UH1iaUyKYDn4HXKPwGnFWvYU49EXPyRHyds1BCtoHNfpF9Rfhw1b6NKflEupdtj6dxbGZb6G8s+R0mQxby8vI0MFpWVqalcuzfZs321oIHUw5B+f7D4eGBHDwH/KhfP4+4Snoe/BrwwIU6+9URD1vQPA8Wz0HV4cGarrZmQ4aLyNn3UDBatNl4OTO/CUVVUDLjEc/JbAt/iGoe9FiiaS7luTf2XNLrS76//CxyLQf0mzvL3wcPbo96HihzPtVSjw55Pg0edKDMj3oeKPdcipqwGMVmQXr+RYQYHCyvMaS+oVtg8y2gw4PNt53+St0C25wFthY8mDinnR8aPUQ24D1X2eHj7VEGD6SOw8BlKHjQNwscUVUqHS5uzSllx3mrOWxlKg8UVPBjYxtzG9uZ09C2psxuaGVOfUtvaWWO3NdKtI1s/1FlHQ+mF3DE0iT+kZhNRoeBnlHseSB/vFRa7TyUX8HvFsZzTkIW/y2vZUGnkaXdZhZ3mdaU+e0G5jZ18FNjO/9r7WJRp3HNMdlOtv+6sY2HMoo4ankKpyVkkWe04NoMYcWx7nkwsB8Oub9V4MFTGGKPwpxyNEFzEmrYixoOaKEIMhyhr8g6WfzGYuxlL2OM3X9k4UHQhKvqDSypJ/fCg29RQr9ObnkdHshUjf2yLWyJYKIMW+jzPBgr8MCrwwP1+w8RF8q0geegLJoFzq34LMrQDb8PLAbU1jrUtgbUrjZUczeqrDNvoMg2svSYUFb9D/H4zYi/T0B5/q6onoCxE9Vi3PB55PvI88j2nS2orfWoUpfAZtn8dI9bCA/EPZeiJCwGu3XIfwv6Ad0CI2UBHR6MlCX18+gWGKUWkANdGbMqxdZkBoDh1LMlPHgxpVcwMclEjXHLwhb6PA80eNC0YXhQ0QsP9t/KngdycmBN6Xffslu9PB5rYN+vWxjoeSARQt9rNgQPhKpS5/JwR24Zu8yP5aS4TL6sb6Xb7cXq9WH2eNcUk8eLye3Ritm9tj7axofF66PUaOHr4ir+viqNKYnZ5HQasY9ieCAUhWqbk4cLKvjjwnhuSstjcXMH1kAATziMKxRaU2yBIGaPH7PHR4/fj7PfMVcorIkjVlntfFZUyWmr0zgtMVuDB+7gpovv6fBg071V5OMR0TwPnsKwWsKDYwj2pIM6TOYEKbpnqcJR9hrG2AOi8KBnQ54HKmokiPBbiXgNCL8FEXQgQs5+xUXYVY+j7DnMKcdiSt4bT8unRDxt/dr0tg/YiPgtRHwG7TyKCIIcfIzgosODcQIP5Be/EGtL3+y324764ytrPQ++vhecvYKN67Qf5lnp64/9BBN1z4M+owxYS4+A7nbU5JUon7yM8u4zKB+9hPLpDJTPXt3IMgPl81cRz9+OuPlExBm7otxyavRcn76ykeeQ7zUD5dOXUT54AeXDFzXtAbWiAHyeAR96I3dHAh7EL46GOmzkW+rNdAtsrgV0eLC5ltNfp1tgjFhAKmfLGFaZH14K6EiIEApF1smeIMMI5MAqt83L873ZFu5LMlFp8OMKCCK92Rb61jLEQP6eGm6RmgejER7Ijx2KqHhDCp6goq0DYQUhVNKa3DyyqpuJX7dwR7yJWnMAp19oopHesII7JPCFFULhiKZ6nzkgbKHP80BB1TIFSMG/XefHcnpiNj+1dRMcJP+4BiV6BSCHsmeH082CqgbOXJ3OuTLmv8uEw7fpLuC/VNiC9Dyo6YUHey+I5/a0AuLauwnIH9SbsbQ53XxXWsVZsenjAh7stzCeh3NLae8NTZH9ShZ5/zZqWc/z4BECpgKUyAjBA2t6VLRrqA8j4YG5AkfZqxsJDyTNUzRgEDBm4utYjc+QTMCcp2WNCFjyCVgKCFgL8HWtxFYwHVPS4ZgSJ+Cseh5/d2JvuwL62vpNmfi6k/F1xhHoKdXOrSqDiEsOdQ0bUb+twAPZr/r6mASjMnOMHrbQ2wHkMyfd02U2CDnDbeoGixHM3dBWh/rVk4hrf4e4JAblk9tQW6q1jA99bVVjF6rDFgUPwz2/OjzY8BMXCqJWFqO88yzitIlEjtoB8bddiRy3B5Hj9tzoIo7dE3Hq7ogpuyEu3AVx1m6IoV5//J6IY3dD/HVnxDE79is7IY7ZCSE/w0m/Q9x7OcqS2WA29AoaypCG3rAGuR7u3ssr1+HBhu+/3mLUWECHB6PmVugfRLfA1rGA9DaQ4EAqZ5eVlWKxWmi3eKns8lHQ6qGs00eNyU+DNcD8cjv3rurmD7NauHFVNyurHJR1+agxBijv9FPU5qG624fJGSK4gSwMoxEeyP/fEhQUdfqYW2pnZr6NOcU2FpXZWVHp0EImrpzXwd7ftHDhok6+zLUyv9TGgjIbs4ttfJHfw4IqJ41GP1U1jeRmZZKSnKxlXpCaB2vggarS4PJyZ24UHkiRvzlDwIONuesSHswfw/DgtrQCYrcQHnwr4cHq8QEP9l8UzyM5JbQ43bjdLi0GXQpxShC4UQBhUHhQOKrhgUzjGLTmYS+4E3PqyVgyz8KadS7WrPN613L7XCwZp2NKOAhD7B4YY3fEnHJUv7ZTsGZFiyXrH1q9JeMfOKtfI9hTihrxbszjttFttgV4IPuTFOG0Wq1aP5NwWcLm/Px8ZCaZca95IIFnVxvKj58i7r0CcdclKPdeinL/JSj3X4S4+QjEpTsipsYgbvoTyn0XoDxwmdZG3H0p4s6LUL58E+yWaEz8UL1LhwdDWWZtfSiEWl2G8u5ziDP2Q0w5IJqd4LEbEE/eivjPP4cvT/wTIYts99iNiEenIf59DeLf1yMeuyla33dctnnilmjdHVMQlx+CmLIT4txdEOf/FnHBXogLfouYsivivN0Rd56ueUOoabGoZQWohTmo+VmoOWmoVSXRcIu1V7L+lg4P1reJXjNqLaDDg1F7a/QPpltgZCwgfwzK1G4yK0BBfh4Gk4mcRjlw7uGpZBPPpll4OcvKq9k93B1r4Mx57ew+q4WT5nXwQLyRF9It/DfTynNpFp5ONjGzsIfqLi/uwPCzyKMVHriDCgsqHdy3spvL5ndy1cJOblrSxa3LurhoXgdHfdfKHjNbOPyHNi5f2MGNSzq5YUknVy3q4KL5HTyWaCK3yU1JZT15ORsPD2ZvATxod7qZV1k/Zj0PRgQelIwfeHDgonj+nV1MQ4+dzs4OqquqNE8Xu8OxPjyQrviqFOoUvaEEcj9CwFyAvexJjLH7YS96mIApHyXcO3hWpRdD32s27Mq/XtjCVvA8kGEFfmMslpQT6F4Sg3H17zElHoUp6QRMicf1K8diSpyMMfEYjAlHYojdF8OqXTGslKkit8ewckcMK3fCsEpux2BYsSM9udfhaVlIyF5D2N1B2NVG2NlK2N2FCDhQlc1TWd8W4IH0NJDpP2tra6mqqtK2DQbDxsODuR8gpk0mcqiceX8Z/JsBaCTVHa2aB1IUsqEa5YX7ojPNJ+yGOGsi4vw/IS48EHHR7xBTt9M8D8TFe0TrLjgEcfYfESduR+TwGJRHr9OU8YkME2qlw4MN/+CRooQNVSgfvoSYcjDi1rMQn72IsvJnlOTlKAlLhi+JS1Bkke1WL0BZOhdlyVyUlfNQ4hdF6/uOyzZJy1Bl/acvIh48F3HproipOyOm7ok4/3eI8/dEnCdhws4aXFDumorywr0orz2OMuPfKK8+gnjpPsTMdzQthWEvUIcHw5pHPzi6LKDDg9F1P/RPo1tgxC0g4YH8YShnkYoKC+g2mlhQaObmBR3s8XUzO3zRzM6fN7PL583s/FUzO37TzPazWthxZgs7fdXMzvL4F83s+EUTu33RzLVLusiuc2DzDO8CPBrhgaKCIyD4vMjGWXPb2e2bFnaY2cLOM5vZWbveFnb6soUdv5TXLuvXlp2+aWGnr5u5aEkXyTVOCiui8CA5OWmjPA90eLBlYQvfjhN4MDk+i4MWJ/BYdjG1JgtVFRWkpqRQUFCgDez6vFuiXxQqcsZezqgrYSdqxIOqBEAJEDBlYS99HGPsvtiL7iNgyEQJObRjqvCgRFwoYY/2ehg+HOKXgAeqCBMwJ2BJP5HuFTtiTj4Re+ETOMrewV76Rm95HVvJa1jzX8KS8wKW7P9gSpmCMX4SxrjtMMbtijH+d5ji98IYtxvG2O0xxu6AOe0f2ItexlX7I676eTirf8JZOQd3/XL8xjJE0L1Z37vbAjyQHlPSMy09PV37HyEzx6wLD8rxeb1Rt2sZdtW/yJngnz5AXPtXIofFoHz8X/C6120j20s4MJzb9miGByKC2lgbhQcn7I647BCUe89Fefx6xL+vRdxxHGLa7oird0S540iUR6ehPHUH4p5TEZfuhJgs4cH1YOqMZgkYqqfp8GAoy6ytl5kQWus1XQJNpPHJW1Cy4sHljLbp62cbtZb9sn/pL4TUty1jHIOoGatRXp6OuGAPxNnbIc7YHjF5B8QxOyCO3wFxyvaIE+R+byiDXP91R8QJ2xM5MgZxw2nQVLv2Ogbb0uHBYFbR60apBXR4MEpvjP6xdAuMlAUGgweLJTxY2MHuM5s5c14H/1pt4OF4o7a+dXkXNy7t5Lbl3dr+Q3FG7lll4MqF7Rwwq5VrlnaRU+cck/BADpE8IYXZpXamzutgl29auGiFgf8rtPF5uYNPS+18UmLnk2Ibn5bY+azMwecVDl7P7+GuWAOHfd/KBYu7SKt3UVLdSFFBHpkZGbS2tmpClH0DO6kfMTBsQYcHOjwIRIb31okzWRkIDyorK0lNTR0UHqgiQMBShrvxMxzlN+OsfgZX7Tu46z7BVvJvLOlnY4zdA0vaqdiLH8FV+x6uug9wVT+Hs/Je3PUfETCXahBhuO+brQ4PZPpJRSFoScGS/ne6V+6NNe8WfN1xhJ0NhOxVa4utkqC1nKC1jIAxG3vJ85hTTsEQuz2G1TtiWL1z1BNhlfQ+2EHzQDDG7Ycp6TjMKWdgST0bc+qZmFPPoSf/UTwtcQjf5imUbx140F8FZf1tJdiFs+JmTEl7Y0o5DV/HPJSIHDyt33bdusHvsIQHTU1NZGRkaPBAbnd3d0c1D2TYQkkJ3q5OqCpDzUxGyU5FzUlHzc1AzUpBees+xJUHIE6IQXlxOmpavHZMyUnT2iqZyajytY6eaAz4YB9jVMMD0QsP/oU4Y1/EY9ehzvsSNScBNT8FNXUh6uqZqKs/R035H2p+Mmp5PsqspxHX7Yn4awzKYzeAzQTDebjo8GCwnrFuXR88+PQVxIWHa2EFMuUiHte67UZyLxJGzU1CeeU+xNl7I+44DeXNB1E+ejEq1vjuEyivP4B47UHE/z2leUUoH/4X8eRNiIv/iDglBuWBU1Hbaob/VDo8GN4++tFRZQEdHoyq26F/GN0CI2+B9eGBmaXFFm5Z3Km55z+cbCKu1kl2s5ukOifLK+wsKpEaAHaS61xkNblZXeXg/Qwzf5vdztVLu8itc2Ifg54H0rq+iMr8cgdXL+hkl5mt/CfbSpstiMsXweGNaNdld4dweMI4fRHc/gjVBj/fF1g55ad2LljURXqjm/o2A02N9VRXV2mxwhHp3ip/BIMmPqnDg2i2BSmYqIctlFBiMLM58KCqqpK0tLRB4YES8uBpjqMn91ZMcb/BnHQIppSTMKedhSnpaIxxe2NctT3GOBkCcCSm1NMwp56KOekwTIl/wJp9A+6m1YjA8OnVtjo8kANfFYLWNKxpp2BYeSC24v8QdjcP+4WoCh/u+u+wZlyigQNz8mFY0k/Dknk2lvTTsaT9HUvaiVjSTsaSdhqWNAkPTsaY8GcMq/fCnH4JrvrFRLymYd9nqIMjCg+UiAZxwl4jYXc7YU83EZ+RiM/Ub20h5KjAUXoNpqTfY045Hk/Tl4Rcjb3t+rX1Ggh7urRzRQI2NLHI3u+n/tcjv7ekt0FWVpbWz+S2DGMoKSkhNy+fmspKvLWVqHO+RHnxQcTLD6P89xGU/z6KeOkhxG2nIM7dHXFiDOLmUxAv3I+Qx15+BPHKw9q+MncmansTBIYQ7Bzt8KCpFvH8PYhzDkZ580ktpp2QPyqMFwyCzwteDwSl108UECrJMxE3T4h6Hjx+E0h4Mly2j20GHtj6d6+R3e4PDy44HPGfm1EyY8HT63kwsu8WPZuEB0WZKK8+jDhzf8Rzd6GkrUatr0RtqkOpLEIpTEcpykCpKkZtqtGKsuALxLWHIf4Rg/Lc2ahduufB1rg9+jl/HQvo8ODXsbv+rroFfjELDAoPSizcuqiTPb9o5t0iOxZvhEBEJRBW8YcULaOAXMt9WYz2ILG1Dk7/uYOrFnWRWz924YE/orKw3MG0XnjwXL6NHl904C89BgYrbT1B5pfYOO3nDs5f0Elmkxuz0084HNLSYMrZu3UUyxVF9zzol21BhwcjBw9kjLr0cJH9LRJ0426Kx5p9O4ZV22GM3x1T4l4aGDAlSNf9PTGs3h1j7G8xJsh6CREmYIzfDUPcXpizbsbdGDtK4IFK0JqKNe3vGFbuj634McLupmG/J2WYhrthLtbMazSPA3vJQ3hal+DvSsHbtgJ301zc9bNwN/2Mt30Vvs5E3E3zsJc8izHxSMwZl+JuWobwmYd9n6EOjhw8UFEiXkKOBjzNy3DWfIOr4SdNp8HTtgRP62Ki66W4G77BmnNW9F4nSDs9hLvxx97ja9u6m+bjqp+Ns2YWvq4sLTRjMG2HgfCgpaUFh8NBW3s7TS2tGDraCZXkoTx2M+LEPRGn74U4Y2/EqfsSOXUi4uQJiOP3QBy3O5GTJmh1kVP3jbY5PXpMeeYubbClhTQMZswxBQ+eQi0vglCvfoGMhZOfv6/0hgApiTMRN00gIsMWtlV44LKhfv8hWgjB7eegLJ4Fzm0NHkRQS3NR3niMyNkHIt58ArWuEnzuqACm7AehQLRITYZwUINIavJixFVHovxjO9QZl4OhYbCev7ZO9zxYawt9a9RbQIcHo/4W6R9Qt8CWWWBYePB5M+8XO3AGRO9PnvXfS/4m6nGFSKx1bjPwYFG5g2v74EGBHZt/eHfydnuQBaVr4UFGk4sezfNCpqyMlmAwqCmWm4xGenps1DlcTO9N1SizLehhC3rYwpZ4HhQWFtLV1aWlWpWp9Gx2Jz5XDy4NHtyBYeWu2ApvwFU/A2/L+3ia3sPd8C7uundx17+r7XubZd2b2ItvxZh4COaMG3E3xo1teNC4EGvm9RhX74Kz9k1C9gYtDCEiZ941ccTm6Oy714jwmgn2VOGq+xpz8nFYMi7F07wC4bOs/8W3ETUjBg9UFRG04zekYCu8TwtHMGdMwZp5AdbMi/qVi7FmnIMpcZKWaUKGpJiSJ2PJOLdfm2h7S+b5WNKnYE45G2fN+4R9PUhdiYFLf3ggw2NkCJbf70dm6XF5vPhcLm1GVXn0GsQpu6NM+yvKS/doGQSUr99hTZkpt/8vuv/thyjP34G4+mjEX3dBeVKmMKyLztAP/AByfyzBg7eeQq0oAjlQHGbZpuBBJALSw8Lvi3qPyMGy3LYYUb99B3HR4YjbzkKZ/wVYjaC190fb+Ho9MuQ93tJljefBDITmeXALSmbcVvY8kPAgD+XNx4mc/SfE20+iNlZD0D/41UjvEvk5U5ahXHkUQoMHl4GhcfD2fbUjAQ8SliDsVsKqipzQkKBZX3QLbA0L6PBga1hVP6dugVFkgQ3Bg/eK7Tj8kQ3Cg/hapzbzvi14HgyEBz0bgge2Xs+DuVHPg4xGF9YBYRvyx7bMalFaWqoJkFX12LiroILd5seiw4MtS9Uos0181y9VY77Rgic4/I/3wR5B6VXiDAT5rKGVI2IzuCA2gx+qG7H6A4M1X1NX63DxdG4pxyxL5sTYDDJNVtwyd/cQi1BUaix2XiisZNKiBJ7M3ULPg/R0zY28ra1NcymXOgiNzS1YLQacTQlYc+7EsGovXPXShb0TJRJAhH2IoAfhdyMCHm1fCfkIeyx4mudgTj4WS4YMW4gfw/DAi7tpEdbMGzGu2hVP86cbuBYVCRU8Lf/DknxiFB60rkT4f214oBDxW/G2L8aSfgrdy2S2iQmYEg/DlHxMNOuEzDzRV5L+ginpz5gSD8ckt/vq+9YyZCX+EAyrJtC9dDvsJQ8S9phRBlH77w8PZHiM7GNy4LFmkW74jRUoT0xDnLcPyn+uRk1djmrvQfV4Ud3udYvHA6Ewavw8lIcuQZy8F8qzd6J2tUJgqAHXKM62IARq/7CF8QYPJBx3OVHrq1DTV6HmrkAtk7oO2ai58ajvPIq45ADETZNRPn0SNS8etaYAtSQdclZBylIoy9eEB9f0qaE2JGDoL8gp9/uKfI0clLfUo3zaBw9uRsmQYQu9mgd9bbXz9DuX3N/cRYYjSnjwRi88eOvJqBfNkH1ZiYKl5KW98OA3qDMu3erwQPnXZYiExXgMnVgcTi2UUqZg1QHC5t54/XXDWUCHB8NZRz+mW2AbsIAOD9a9iTJsYWvAA5vNRnZ2NokJCRQVFVJhsXJPYSW76vBgozUP5OA+rCiEhEJYFkUhoig0O1zMkvAgNp3TErPJMVhw+APasb728jURJeoFsu4dX7s3ZuFBWpoGpaRLuYxJl8r4xSVldHe2Ym+MoydnugYP3E2zCHvNqEo0DaOWjlFua/uKlpIw4nfhbZ0fnXlPv37bggdNHyP8MrZ8iMGCqmg6AN7muaMMHkjPAye+rlVYMs+ie9VeWDIvw1n9f3haf8bd+MOa4qqfhbPqAxzlb+AofxNX7ae4G7/VQhe0dk0/4GmZg63sZUxpV2BY+XvspQ9r0EiRg68By1DwoE+/BTl72ViJ8tQ0xIUTUZ66XhMLjMb3K2jHZZv+Req+pCxC/PsKIhIePDcdutuGma3V4QGjVfNAZptoqkX97HWUy45AufUQxH9OQXnuapQnr0Dc8TfE1F0Rl+6IuOMvKE9fgXjxJpR/n4/yzyNQzj8A9Zk7wLaB0CAZiiW9FGwWMHagWg2odgs4e6LFZQO7GaQY5btPIy44FPHoNShx88DYBh5HtJ3UlnBYo+9n6QJZ5Dk2dxZ+jMAD9b4rCMUtpKO2isKycvLy8+ns7CQQCKzRYhrw6Ou7ugU22wI6PNhs0+kv1C0wNiwg4UF1dTWJiYkU5OfRZTSxtE/z4PNmdM8DOyPhedDT06MplseuXkV+fh7lZgv3FFbp8GATBBOlB0CJqYe8LhNFBgsVVhu1PQ4S27p5JbeEE1amclxsBj/XtVDQbabaaqfUZKXAYCbfYKLF4cYVXH+A1PekjnV4IMGBTKuXnJxMQVExXR0t2BvWwgNP03dEfHLw3HfFA9aqonkheNsWYE4+Hss2Bg/cGwkPPCMJD+rewZx8Mt3LdsDT9D5quC/zwQDbD7crtVZCbgLGBKyZ52CM3R9b0SP4jemaWKIWfiFDMLQwjDZC9jqCPZVaCEbI2UDY3RY91tsm4u3C07oKa+5jGFbth73sEcJeK+pIwIOnr0fNSxo+7aCEB2lLEY/1gweGdh0ejEXBRCkYWFOO8vpjiGN31AQAxbW7IG7YB3H1Pojz90Cc8puoYOY5OyGu3Qdx8yTENb9DnB+DOCoGZfpFWojDcI+AFJ1Ui7NQf/oI9bV7Ub56DmX2m6g/fxgt//sIde4HqJ89jfLoBYipf0DcejTK67ehzn4bdd4na9v+/AHqtzNQP3oY9fN/o8Z+A3YpijrUF+Mwn2yswIP7ryQYt4DWyjKyCgq03yLSi0iGIK0BgcNcpn5It8CmWECHB5tiLb2tboExaAG3260NOLKysikvL8VgserwYIDmwUjBA5m2MSEulsKCAirMuufBwwUVbEy2hb6fdKVWO28UV/NMbikvFZTxekkV/1daw9N5ZVyZkMmBy5I4cEUKD2QWMaOwkrdLq7X183llvJxfxqrmDtqdniGf0rEIDyorK7RUjVL9vg8epKSkUFRcQvcAeOBu+laLbR/yN7KMrQ+48bZJzwMdHmiaBxsRtiCFBpWQCxG0wzAM2AAAIABJREFUadoEclsJeREBM67q1zRbGpZtj6v+TSK+Lg0ERNvbEQEbMiuGlu1g6BuDEvYSNCVhzZqCMe4QHOUvEXZvIE56yJ4OfmMZPYWvYlh9AI4+eDCM5kFfqkapedAnAKudvr/nwQXS8+A61LzEDcf8py1BPHb5Ws8DHR6MzWwLEh7UVaK88QTipD0RV+yDuP8oxKPHIh44FnHLsYgrj0NccjzihuMQDx2LePw4xD0HIS7dSROMFHdP3TA8cPSgLPga5Z5ztfSW4tK9EDcdjHLbX1Fu/WvvejLi2kMQl0xAnPcbxLm/QVz+exQJEe44NtpGtr9tMmLaJMSUGJRLdkWZcR1qe+2aTBjDPDbrHxpj8KCtsoycwkIys7Job2/X4cH6d1SvGQEL6PBgBIyon0K3wGi2gPwhKL0PTCYTdrsNty/AsjIbtyzsYM/PdM+D5wpGzvNAhwfRJ0GGGtRsQraFPniwpNPIifFZTFqWxCErUjh6RSrHrEzlyBUpHLg0iQlLEpmwNIk/L1977IgVqRyyLIVjV6bxXlktldah1b7HHDwwW6iujKZq1OHB+t+yamRdzYOt4nmgiRla8RuScTf/jLdlHr72Ffi7EvF1rsRWdAemhIMxrNwOe/G/8LUtwt8Vj7d9BZ6WBbgbf8JvzCLiswwqWBi9KlWDBwENHkjPg4NxlL1A2FW3/kVvZI3fUERPwcsbhAfy/4OEUpmZmVqqRjlbKUMZ1sxW6vBgfGseyL7QUKOlqBRnHYB4fjpK/FzUykzUmhzU0kzUwkzU/EzUkizUqhzUhkKUn19HXD2RyJExbBQ8cPagLP4W5cGpUU+Gq/ZC3LIv4rYDELceEF3fsj/i6v0QF+yNkJk8TpuAuHBvhKy/8wDE7b3ljv0RN/wBcfFOiKsmorw5HbWjIZodYaiQpqGeKx0eDGUZvX4cW0CHB+P45uuXPj4sIH8EStGcUCiEEBECYcHycjv/XKDDg11mtqLDgwZMgeHFB+vsLt4truaklWmcEZ9FWpcJqz845AO0ufBgToeBfValE7Mgjv2Wp3BFci7/TC/k5vQCpqXmcXVyLtck53JjWoFWf2N6AVPiMzlwSRJ/XJzA6yXVVFrGNjw4Jj6LAxbH8+/sYhptdro6OzUhTjmokzGsMmxB9zyIdr1fAh6oaoSwqwZHxZNYsi7EmnURPVmXYc25Emv2ZZiS/4IhdlcMK2MwJR+FNetienKuxJJ9GZasizGnX4Sz+l2CPY0o4SEEA4nCA/8aeHBQFB44twQeFGIt+O8G4YH83yDBcl1dnRbeZrVatf8XOjzo/Xob74KJUvOgsS4KD845BPHei6i11VEBRDkQFxEI95Y+3QsZIJC6ADHtQCKHbyQ8cNlRVv6M8uCViL/vjJCaCt8+jfLzq6hzZ6DOfQX1p1dQv3sF9cuXUT9+BfXjl1G+noH68wzUBTNQFrwaLQtfR7x1M+LyvRHXHIbywROopo4h/18Ne0CHB8OaRz84Pi2gw4Pxed/1qx7HFgiEFZaXObh5QafueaDDA16oHD3wYG63iUkJ2cQsjufMlHzmNbSR2WEkvb2b2MY2ltU1saK+mdTWTrI7jSS1dfN+SRXnJmQycUkiH1TU02BzDPl0jwXPAwkPJi2K55GcEtrcHkIBPzL0SMauSlFOHR6svb2/CDxQQgRtufTknKkBAgkJjLF7YYzdD2PcfhjjJ/WW/THG76/VGeImYVj9B7pX7kLX8u2wFd6N31SphTqs/fT9t349eCA/hRRVk33M6XQiU86uAQfyoO55ML49DzR4Uo946ykiEh68/xJqXQ2EhgfOasYCxDWbAA/cLpSE5SgPXY84cS+U/81ENXajSjARCkffT75nKCg7rJYGUvW4UK0maG+BtibUrnZUQ6f2OmXJTMS0w1CuPgL1nSdQa8tRLSZUmV7S1IUqw2jMXVEdDpnhYahFhwdDWUavH8cW0OHBOL75+qWPTwvo8GDrZFuQgokjFbbQ58bf10M7nG7mV9Zz5up0zk3MJrfLhMM3fHrBvtf2X8tBgTMU5vX6VibFZfKHFSmjDB5YmJScS8ySBKZml1Bqc2DzB3H4g9j8ASxeP1afH3sgiCMYosPlZUljG9NS8pi4OJHPqhpodkjBusGXsQIP9l0Uz8M5pXR4pdiVormRK0JogzsdHqy9t78IPFAFYUchtvwpGFfHYEr8Lfai27RMCM7q93CUvY6t5GV6iv+Lo+J1zcvAWfMBtsL7MaecTveq32Ivvo9gTy1K2Lf2w6+z9evCA0VmNYlENI8Dub3OosMDHR40rQsPlLpq1KHgQe8/LzVtAeLqTYQHSctRHr4ecdIElAWztMH+2tSNIqpZIFOHyj4ZCqL0mFByU1C/ehv1kxkoM99D+fYjlG8/Qbx8F+KKvRGX/gHlvnNRPn4Z8c2HiG8+QHz9NspHL6J8+y60NKBlDlmn0/fb0eFBP2Pom7oFohbQ4YHeE3QLjDML6PBghOCBK6T9mBFC0Wbqemy2EYMHA7tkt8vDwqoGzlqdznmJ2VqmAXdg6LCBga/v2x/18MBgYf+UPGKWJHJ5bhlNHt+6s6B9F9K7dodCJLZ2cVNqARMXJfB5dQOtjt6c3wPayt0xAw8WroUH/S9Dapfo8GCtRX4JeIBM7+gqx1Z4GabY7bGk7ou35RNC9lpCziaC1hoC5nL8pnKCPTWEHI2EnM24m+bQk3Mrhti9cZQ8QMher+karP30/bd+XXjQ/5Osty1hQl+qRl0wEeWtp1ArijYsGJk4E3HTBE0wUHn8JpApBMditoUBngeR919CwoMNeh7IsIVNgQceF4qEB4/0woOF36H2WNbrjmsq5KDe1Imy6FuU289HueZYIjf+ncg1pxC5+hTEhYchTt4OcUIM4swJRC6ZjLjiRMTVJyJuOoHIlUcj/nUJlOQgMz0MuejwYEjT6AfGrwV0eDB+771+5ePUAjo82EJ4sLCTzCYXXRYXLocN6XHg8/mwylSN6enExa6mID9/s7ItuEMR2jw+Gp1uWlweOtxeuj1e8g1mPiuu4uRVUc2B5U3tVFvsdLm9tLm9NLo8NLrcmH1+/JHIkD17LMCDSb3w4LLcUurdXqR+wlCLMxAkrrmTG1Lz2XccwAPpVt7Q0EBSUhIFheunatSzLXyM8MtB2kDfnd4eJEGAp4tNTdUYcVdjL7weY9zuWDMOJGhagKqENLClqgJ6i/QS6St+Qwq2wke18AYJD8KOBpTI6PQ8GPh8Se8DKaQodXLCwSBKQwXKU9MQF+rZFnR4sJXggQxbSOwHDxZsCB6EwdiJ+sOHiHMPRpyxB5HLD0Vc+TfElScgrjgO5fK/oVz2N8TlxyKuOD5aLj8acel+RE7ZFXHZMah5KdscPMguKCQjM1PPtjDwi03fHzEL6PBgxEypn0i3wNiwgA4PtgweXLioi8wmN9WNbVRVlFFUWEh3dzdms5n09HRiY1eTn59HudnCPYVV7Do/llMTs5nd1k1wmIGw7D2FFhvvVtTxQn45/80v463Cct4rquSFnGJuTMjmoGXJ/HlFCg+mFTAjr4x3Cyt5vbCC52SqwsIKljS20uYceuZ9zMCDxYlcllumwwPvugJ7ffAgMTGRggIdHvwingfAuvDgAILmhaCGh/3C9xvT1sKD0rEDD+R3hIShRqORzq5urGYz4ZoSlKenIS6eiPK0nqpR9zzYCp4HmwwPImAzo875FHHh4YhrT0R8+Axq4mLUnGTUjHjITNCKmpmAmhmv1akLZ6E8czPi4kMRVxwdhQf+oaCefPgjqKV5KG88TuTsPyHeehK1vhIC6343r/kykN4l4RAkL0W58ijEP36DOuNSMGwg7arXhfLTR4jbz0EcszPKnE+jnhdDgVApVGnsQJk/U4Mj6v1XEoxbQFtVOX3wQIrsSq0c+Uzri26BkbSADg9G0pr6uXQLjAEL6PBgBOBBs5uSqgZysjNITkrSUp3Z7XZNrbystFSbHa6y2ri7oHKj4EHfv/a5Hd2cmZLL0StSmLwsiWOXJXHCsiSOXpLApAVx7Dg/lp3nxXLYwgQmL0nk+GVJ/HVZMkctTeKs1Wn8X2EFFeaeIXuhDg9UpLfCZw2tHBGbwQWxGfxQ3YjVP7x+RK3DxdO5pRyzLJkTYzPINFlxh4cePApFpcZi54XCSiYtSuDJ3BJKDGYCETHkvZEH4kxWpGDivkOELchBncFgoKKigqamFmwWA46meHpy7sSwai90z4Ot7XmwG9aMAzTPA5ThBeP8hlRshY9gjN0XxxiCBzL7ghTmrKqqorCkhMb6evwVBSjPXIO4eB8dHuhhC1snbGFT4YHUPXDaUH/+EjH1aMT0qYjlc8HVK5gr/6n2/WPt962rttShfPgC4prjUa6ZDAWpmvhivybrbo4heBCKW0RnXTVF5RUUFBRo2XmkGKoOD9a9pfrelltAhwdbbkP9DLoFxpQFdHiw5fAgq9lNaVUjeTlZpKQka/BADuzkzLAsUrm83ulmel75RsGDvg70TXs3f07OYeclieyzPJnJcZmckJDFCfFZHB+byd9iM7RyfFwmJyZkcXx8FkesSuePS5M4dFkKMwrKKdfhQZ8511uPdc0DKWonfww6HA48Xh9BnxN3SwLW7Dt0eLBqV9xNOjzo6/R+QxHWgpfXpmr09aCKoYFX3+v6Ujfm5eeTnJZGWVkpnvI8lOemIS7ZB+UZ3fNA9zwYBZ4HcubdaUP5+SsiU48hctdUlOU/gaM3Va+cbR+kSHggPngBce1xKNN64UFgG/A8uO8KIvGL6Glrprmzk6amZg0CytAjfdEtMNIW0OHBSFtUP59ugVFuAR0ebB14IP9Jy8GdplwuBA0uL3fmbho8WNll4ur0fH63JJFz0/L5vqmdVV0mEg0WErvNa4vBTJLRwrIOI+9U1HNGfBYHLknireIqanrsQ/ZA3fNgbHseyPsnixzgKYqKCHlwtyTq8CDzRow6PFjnufcbirEWvNILDx4l7LOhygHXBpY+eJCbl0dSWhqlpaV4JTx4VocH4pyDdcHErSWYuDmeB45+8GD6VJRlc9fCgyH6udpaj/jwecS0bQseiH9dhkhYTNhixB8MauEKfb9HhjCFXq1bYLMtoMODzTad/kLdAmPTAjo82DrwQAqM9aU5kzPcmwMPMrvNPJhVyMSlSdwisw3YXYSkAKKcQZF6Cf2LquIJhEhrN3BNaj4HLk7k/dJa6m29bpuDdE8dHoxteDDwlio6PMDdtAjruIQHKvJPiYQRoQBKXwkHUEQYX1cu1vwXNHhgL3mQkLMbEfCgyOOyhPwIra0UflwrSirhgdRv0TwP0tMpKyvT4UFTLeL5e9DhwSFstWwLOjzYIs0Dcc+lKAmLo1k9Bv6j0Pd1C4ywBXR4MMIG1U+nW2C0WUAOaOWsuBTOCQWD+IJhlpXZ+efCDvb8rJn3iu04/JHBwgO1S5Hj1h5XiPhaJ6f93MFVi7rIrXdi9wzvAtvuiXDtahMxHzcxcU47PzR5iAwSg9jfXhUdPt5ONbH/Ny08kGymvSeAhB2DLfJUgZCgsMvH5UsN/GVWKx9lWGi2DJ/C0B8ZvfAgw2Dm/qxC9lmaxD/zymhwuAiISFTVXRsqRAcM2qBBlQPhEKkdxrXwoEyHB9tyqsaBz4EOD7zjGx4oYcLOWvyGdPzdKUidhYAxjYA5E1ftV1gyb8Owem+sudfgaVuK35CkHZftfN0pBMyFhN0d62SB0OHBgKdMS1WowwPx1lNEztHhwWgVTNTgQfxisFkHdGB9V7fAyFtAhwcjb1P9jLoFRpUFJDTo6uqiqrqaluZmrHYny0p7uGVhpw4PZrbyXIGdHv/wQnbttiDzS2ycNrcDmW1hMM2DkfA8yOg2c39mP3jgdBEcQmRPwhNnMERKpw4PxkuqxoFfLDo8GL/wQHoRKWEn7obXsWadiSX1ZMxpJ2JJO14rpqS/YIzbB8Oq7TDG/R5zymTMaX/TjpnTTsCceiq2grvxtq5E8ZvWdC15Xt3zYI05QIcHqE316PBgdGdb0OFBv2dW39zqFtDhwVY3sf4GugV+XQto4n319WRkZFBWUozBZGZpiYVbF3Wy5+e658GohgfS80CHB0M+QDJzQlxzJ9saPNh/UTyP5JTQ6vLgcbvp6enRRBIHKmfr8GC8wwMbzqo7McbvQPfKGC2zgynhWExJJ2FK/BvGhMMxJh6EMfEvmBKP1+qNCZMxxh5A94rdsaSehavhZ1yWBmx2p9bPPB4PJpNJC1tI0cMWdHigwRMdHoz2VI06PBjyZ4J+YCtYQIcHW8Go+il1C4wmC7hcLmpra0lJSaG4sIBuo0mHB+UOrl3QyS5b4HkgUzXmZmeSnBzNtrBVPA90eEBE6jwMsWyr8OBPixN4LLuYequN1pYWTbROPsMSIvTpakiT6PBgHMMDTe/AjqvmAcxJe2KMi8GaNRVH6Rs4Kj/FXvo6tsLH6Sm8G1vxE9jL38VR8TH24pewZF6PMe5P9GSeh6t5CR3N5VRU1Wr9THqpdXd3k5+fjw4P0OGBDg9QS/PQ4cEQ/4T16nFpAR0ejMvbrl/0eLJAf3hQpMED3fNg0ZbCgyY3JZX15GRlkJiYqKVq1OHB2qdKDvhrbE4eLqhg7wXx3JZWQGx7NwGZm3uQpU8KY67BwqSUPGIWJ3JZbhn1bu+4gweT47M4qBce1Jot1FRXk5GeTnFRkTYjrMODtR1IjYx3eODGXf86lrRjNHjgqnqMYE8JEVc7YWcjIUclIVsJIUcVYVcrEWcbfkMGzsq3MCcfS0/WhbjbYmmqLSYnr5D0jAxaWlow9MED6a2mCyai6oKJetjCG3rYwtpvXn1rvFtAhwfjvQfo17/NW0CHB+ve4hERTGxyU17bRElhPplZWbS1tSHhgYwXlsvmZltYT/NA9zwY3/DAZKGqspK01FQKCgowGo2650G/x3k8wwOkgGrEg7vhYyzpp2GM/Q2ehv8igiZQJaRTomu5rZVoxpaQsxF3/deYU0+iJ/si3B3xNNQWkZWTT2pqmgZCpfdBbm4uSakyVWMJHpmq8Tk9VaOebUEXTNQFE/t9Aeub49YCOjwYt7dev/DxYgEdHqx7p7cUHlywqIvMJjd1rd00NtRRXV2tCYzJnMo6PIjaWvc8UKmx2HmhsJJJixJ4MreEEoN5SP2Kvh4aZ7KyjueBhAdVlaSlpenwoM9I/dY6PBgADxpfRgTM0C/1Yj9zaSlfQ84m3HUzMadE4YGnI4HG2hKycgpIS0vX4IEMW5CpGlPTMygvLcNTno/y7DWIqfugPH0dal4ihEPrnHrgjpK2BPHY5URO3gvluelgaIegf2Cz6L6Erm4nanYi4u5LiEw5BOX7D1E7mgdvL2vlawJ+1K+fR1x1IMrNJ6Iu+BqctuixIV6ptjaizP4CMe0UxC3noBZng2vo9La6YKLQBRP1sIUhnia9erxaQIcH4/XO69c9biygw4N1b/WWwoPzF3aS0eSiu8eD1+PG6XQihez6L9L/oMHl5c7ccnadH8upidnMbusmOEz8vny97nkwesMWnsktZfKyZE6MzSDTZMUdHjpVqVC2HjzoA1Syv+iaB+M3bGFQz4MNwgMFzfNgPXhQHPU8SEujtbVVE+fs6OigubUVY3c3oepilKenIS6eqMODt55CrSjaMDxJnIm4aQKRyTEoj98Ejp6hoY58mD1ulNx0xMM3EDnrAJTFc1DNa7Ng9P//om1LeBKOoPzwMZELjiAy/XKU5fO086zXtl+F2tmGmP01kRvORFx/Gmp1KQTX/f/Vr3mv5oMumKhrHqzTK/SdcW4BHR6M8w6gX/62b4HB4YGVWxd2RFM1Ftlx+CP0xZ0PtIj8jWJ1hYivcWipCq9a2EVuvRO7Z+jBkzxHuzvCtatMxHzUxMQ57fzQ6CEytPad9rYVHV7eSjGy/8wWHkgy094TIBAe/EXy8wZCgsIuH5cvNXD4N618mG6hyRwceAnr7Et4sLDcwbT5nezydcsmp2o8f0En6Y0urPL6VVXzNpADulAohM1mw2qx4HA6qXO4mZ5Xzi7zVnNyQhY/tnZtPDxYksQ/c8to2FDYQiBESsfGp2qU4RTOUJjX61vZNy6T3y1P4dmKBkyB4WcR6+wu3i2u4qSVaZwRn0lalwmrf2g7D/Q8uDWtgNVtG6F50G1mUnIuMYsTuCy3dOM1D1Ly2XdRAp9XN9DqcK1zv/vvaNcfCPL/7Z0LkFTVmcep2t1ytzb7Sm2MpZKY3VqjkoobTRYruxt14yaiqMEHakSCRg1rFkXlkWgUIYrGqCBBF3QhKBIVhPAcGJgH837PMNPznp5HDzM9/e6+/e6+55z/1nd7BpoZum8PujVj+d0qmNu377nnfL9z7u37/c93znmzux9fzyvFf+aVYFtrN9zRLC/PADr8GlZWNmHW3gJcnVeKspHJiAf5WFbZiMbh3CIPZuWX4Su787G0vB4dDhfaRiMP6urqjCVXaTZ8amcBLYBoyAutNx/uikWwH/xbBK1bkYyQk5Juddq+UhCxIMIDO+EspCX95iPYkw8R86WdNHFXD/bBW7MM9rzL4Cyahbi7BJBnn7/CSK0UYs4W+Jt+bczs721aiZjbCqln4qyMeynuKob7+GzYD14Eb/1SJIPWiYVJOzIWeeAquwf2Q3+BoHUDRJTszwBASSRDQwj17oCr8Cq4Sm9GqP8gRNSVdtWJu3rQAl/dbRg58qdwl16EmGMXKTcTT0w7ErUXw1u3xFgBwd/4KJL+bkg9knZG+i4tuxhC1HEM7rLrMHL4q/CfeAbJQGf6SeP2x4YtrIer5JrUsAVDPKBhC2d/ZtLxM8SD8h8iNJiPnrRhCyQekBgaDocRjkYRDYchu5ohl90B8f3zIZbfCVV11NR5VsV7IJbOTYs8GDCPPCg/h8iDTc9A3DoT8u6roHZuGo08GIcq7WMq8uCtc488eGk5VHOdqf3y6DsQd38S8WB77uLBD74O/YG5OYoH/RDvbYY+/xzFg9eeg+xsAxKZn/+EWxXvMupF/8cZEA/NAVwjabVwlt2gBnlsP8SS+RDf/jvIXb+H8mS5L2n+HL8X8oPN0OfMgv7gjZD73k+JNGe5/Ngh1d8Jse5piHlXQv7oG0BNMRDLdF8CoIjCpirItU9A/95XIF5eBtVlMaJexq55xl+69ygqp3Av5NzLIf5tBuTqGwB71xmnTfgQDkDuWA/xk2shZp0H+f7GlP2ZnmVCB0YGIXe+DXHLlaDVFkT+bugeBxK6MN5HKBoyfY6cCXnyASZwjgRYPDhHcJyMCXxWCEwUDxzY2+DEgnTxIDIZ8WAQVZ3+SYkHF2y34d1uEg8yvNSPwjTEg+L/f/FgV7Mf83YN4s/f6cMva33wRLM4QiSEeOP4qNFniCdniAdpjcDv96O+vh4VZWWwWCxocXrwUG2LIR5cdbQc23IQD0qGnVhcVofzx8SDgMlSjbE4igbtuL24GjP3HMOrJzrQ6Q2klerMXXKe/YkkXujqx/lHynDe/kI81dINew7iwW8bWnH1oZR4UEziQSzzy2O6ePD3Hx/BguM1OYkHO0g8KEiJB7dUTlY8yDfEgz5/8Eyj0z6dEg+6SDwoyV088GlYUdk4Kh6UnJN40JCLeGB3Y9aRMsykpRoN8cCZGrZQUoLGxkZjMjubzYbq6mq0trXDYbfB13MY7soH0sQDt7l40L8TzoLJiAe98NY8BfuhS+EsvCJ38eDErzGSdzF8jSsQ91ihMokH9IIsFU6LBxfCW/cYksGetNqbuHtaPLg7d/EgOISQdXLiQVJrhrfuhtSKBqUXGuKBykU8qF2CkbwLkKt4EBsvHmi5iAfr4CqZDfvhGQjlLB68DWfh2LCF0+LB8eLjp+ZvIaeDntaKnLRuC+Tjd0D8+5cgn7o9N/GgaDfk4zdB//bosIXhXMWDOdCvo2EL66AGs4hH1GZo2MJbz0DceDHEXf8M+dH/TF48qJ/ksIXJiAd3fhH6rMlEHhyHeOxu6N+7GPKP5yAe7Msh8mCwH+LdTafEA5hGHuipCSNfXg79+ksgXn8WsqPVXDwo2gVx80zo/zAZ8WCfIR7oJB58bCYe6IZQID/cNDnxoG9UPLj1SsibvwFUFwPRHMSDlyYpHhTshbzpMojvzoB8/hooe/vEB1j6ERIP3l8PsfC6UfHgd1AeGoKU4Z2JxAP7qHgw90rIR26Bnr8boeGTcAc0uNxuhEMhkIDAGxP4tAmwePBpE+XrMYFpRuBs4sGBZjcWHRjGF7b249UTftPIA08wgSNdGmbvGcJtB4ZQ1R2AL2wSeRDWMa/AiT95uxff2XUS+/rCEBl+B8eQWYYjeKXMhQu3D+DRUjcGvXHEzSIP7FHMPTKCf3rfho2VHvR5Mju1lE9MV9jbquH+/UOY+d4AXmz0w2siHpz0J7C7xY9rdg/h+weGUd4bhDd85o8y9QZXlJfjaH6+ISK0uj34aVMH/nJfAW4orsHHNjsSJsMWKkdcWFrVhC/nleDH9RZYtRDiWVYo0OJJlAw7MK+iATPzjmO9pcuIVhjjOf4vOc9aIomNPTbMLqrCFfllWNtuhTOevRe1OxDEhuZOfOdYBb5bXI3SERc844ZqpOdFYfsd/iAea2zDlw4U4cGKBhwbHDFdbeGgw41rS+tx/qHjWFhnQU8ojGQWZlo8gWMDw7inosFIs6nDigEtu3hAad602nBpQSXmFFbiDx298GQRQsiurkAIq2ot+OaRUlxVVIVylxeh5Jn1f4b9SqHD48evmtpxwcFiLK9txokRl+mcB4edXlxRXIWvHSrC8pomdDldaKMJE4/TxHVNxnh0q9VqfG5oPIHhk/0I9B6Br/YBOI/+NUJ9W6HnEHkQsX0Ed+mVcFfchVBfPkTcJPIg1Adf/Qo4Ci6Dq/RyJLzHzSMP3BYELC/AWXAh/M0rEPdmEQ/ITVWzbfgOAAAMW0lEQVRA3FMMT8W/wHF0JnwnlkMPZRnzTo6tHkG4bw881ffAcew8hPregIhmGfOuJPTQMMJ9H8Bd9i14qm5GxHYYIuZOr74J+3qoHf6m++As/Ct4Ky9C3LUTZuJBzFECX+MTcBRegEDLo0hqFHmRYcw/LbuYDCPuKoS3+lo4C76GgGU1klr3hLKcPqAg9TDC1k3wVF4HZ+EMhHtpwsTscx4ktV4Ee7bCXXY1fDU/RHioAD2dNOdBDdLFg1PDY+j509sKuWYexPwvQzy/AKqu2LTnXZUfgnx6PsR/fBFyzQOAYxBIZIg8IQcppEFVF0I+Ngfilksg//A7qKG+0+aO36M08SjU9qchfjIT4qHZkHu3AEFfZoeL2oytF/KjtyEWzIZ4+FqopkogaDLnATmcax+G+NElkK+vhLI0mNtf8gHkw7MgrpkB+Yt7AC1LuyTbQkGo6hLIJ+dD3HAh5L7tUG7neKtPfyb7adjCjjcgbrkU4r/mQubtBMKZn3+UmIYtyB1vQ9z/rxALZwPtOQxb6O2EfHU5xI1fhdjwHGRXG1Qiw2/G6G+8qtgJseiiVM/7ih8CXpPIg5AGWXQQYiW1mb+B3EfiQZb7ktql5oPcvRnijssh/vtmqMMfGsdOQ5q4pwa6IN58HuKn34J85ArgBEUeZLovaalOHaqlBvK1pyBuuhhy3XKonvbMQz2MyIMkUL4XctFlEPO+APnavVDOLG2ZihkOQu7aBLHkBxDX/xnU7o2Aj4TgDC9NJB44hyD/+L8Q934T6snbEC/Yh+HuLjS3p5ZdtdvtiMfjp+ZimkiDjzCBcyPA4sG5ceNUTOAzQ4DEg/b2dhQWFqK2tgb2EQdq+gJYV+/F7UUu7BkII5zI3PNOP11aTKDRHsUTtR6sqfei0x5FKJ45DcFxxgXWtAQMAeG5ag+anHHqXMy62bwJ7O7QsKDUhTfbNLiCSSSzKA5JXaHHm8DzTT48XObGoS4NzmB2UYOuVzMUwYZ6LxaXuLCnP4xQIkOY72hp3WEdlbYwnqzx4pf1XrQ7YgiOs9/j8aC0tBSHDx9GbU0NrD4/1g/YcWddC9a09aDG7TONvOj0a9jSPYD7GtvwW+tJ2KOxrM5zVNfR6g3gxc4+LGxsxf5BO0bCmXtRyCGI6DqOOdxYZenCyhMd2DfkgJbFESYE9kgUhwaGsbS5A0+1dqPVF0AwkZkziRRD4Sg29Z/EvfWt2NDZhxaPP6stlE+zX8Pajl78rLENG62DcMTiEJlengBEdIFmlxevdPTi3oZWHB52wJVlCALZH03qIJHiEUsXVls6UTrsyDp/Qcr+GD60DmLJiXYssXSjLRDMKITQ+WT/yWAY7w0M4b6GVmztsaHPFzC1vz4QxOLWbjzU0Ipt3f0Y9HpTqy2kiQc9PT0oKipCXX0DhoZsCA3XIdSzHv7mOxFzHoVIZB62QS+iMhlF3F0Krf3n0DpfQszZaITMU7kzbTLmQKh3G/wti6F1LIYeaskcGm9cRCGp2RAZ/BCBlgUI27ZAD41AicxthsQDXbMg2LkU/uZFCPVvg4hlGfNN+cg44s4qaN2vwN9yG+LO/ZBJcp4yPGiUhIh5EXeS/Uugda1G3N0ImY0Z+Q+xIYT7NyJgWYBQ10IkA6WkXGTCZRxP+NsQ6t8Cf8uPEbG9BT3qyCI4KCgRRzLQjGD3SvgtDyI6+BFENJvDpaDIfscxBDt/hYBlDuKO96F0ijzKYD+Ucc3oSAG0jscR6n4WMfcJWLtaUF5RZYhS41eOMR7azkHIPS9AblgAuWs9lLXVcKqyAVAdjZA7XoNcdTfUznWA3w3oWeqfogi6m6G2rIJc+wBkycFUz2u2TPQEVMU2yE0LITcth6o9BkRDWeyHET6vyvIh1z8B+eYKqP4OIBrOnAuJl44hqD1vQL6yCPLANsDWa25/eyXU5mWQv7gVavtvgGgwc7VQ7mR/ZyvU1pchn70fqqYICGQRNei5KARkyV7ItQ9DbloN1VCe3RGmfNxOqONHINcvg1z3BHCyN7sQQhEoI0OGMCNXk/3boYZPZqnLVNtTXWWQb90Puep6qB3PAkFvZsZj9lvqILe/DLnqrlRdapmj6ED1Eg1BVR2G/M1iyHdWQzWWARGq/0ybgnLZIY98CLn5caitiwFbC5BJCKHLSAFl64LcvwXyxYVQB7dCjZzMwixVL6qzGnLzzyBfvx/q0GYgkEUIoXwSMSOiR/7+Ocg1t0LVHjQEtYziAQ0b83ugao5Crvs58O6LiDVWoa+jA2VV1SgpKTHmL4lGoyweZGoOfPycCbB4cM7oOCET+GwQGBMPCgoKUFVViZERB0LROIIJCU9cICpUxlfNMQvpPSUhKORdQktI6JQm0/vpaCISCoLJVB5aXCKZXWswUtF1I7qCNy4Q1pWp2ECJaB4FKpMvLhDXVVZn08hk1BYSDPxxCZoDwcQUI2LCzP4x8SAvLw81NTXQQiGEpYInoSOY1JEQ2QWKlC0p595LaYQwjdSgcielQlAX8CV0RHVKk90a+paiGUgwCCR0wwnOngLGNWNCwJ/U4dd1QwQxTwOEdQGyJWSkyc3+oK7Dn9CNtGZNhsqQFNKwn/Ihu3KzX8KX1A0GlMbcFmWwJcZkf5LmujAaU+b/qBwRkbI/PMos89mpbxI0rGTU/mA8Di0UhKWl+YzIg1PiQV0dhoftiEXCUHoQMukxHFDTG5NKLuJQut9Il3LoTaxRwujll7oPSqee3eyOs2ENpRERKN1rpE0tH2iWj26USyYpn8jokoPZqJHTnTCWLJS6G0pQD6JJHrSEoRyzXzPSmzMjW4jzqP0mQxaMEkvdsF+S/SI8aotJ2VTScP4N+4kdzO4AuizZokHpbkCScGiWB9mSsh8iCD0RRa/VivLy8rOLB2QM9fJGNSDkBSJBU8fZsJ+EAjqXetzJoc8SQZSqYVKPKI2Wih6Ix1P5pr7M8D89zCNA2AeEtdFQehP7yRYarx/yp9JQWLfJMzNlfzDlAMfCOdqfACIBQPOkOJjVC31/ipkvVcZMc1ek06AVLCjagrglKeouB/tpgkSKtqB/1INtthn1H0n16tP8ALmk0ROpegm6UmUzs4XqgNIYbcaTm/2UhtoJ2T9W/2Z1SU43MQv7gQjZn0XQGuNC9tLQBsrHsJ+WPzXhbNhPjCnN2P0/dsGz/KXrUWQO1aPmTu2b5UH3FLVlqsdoCPFwEAP9/aisrERZWRloiBuLB2dhzYc+MQEWDz4xQr4AE5jeBMYm8qPZsymMLRKJQNDLAG+fKoHx4gFNbDeVG73amLzeTGXxOG8TAnSPRiJhtLa0oKS4GI0NDaAhC+PFAwpLnV4bCYu6EaIvk7EzX7JHe/6TIXvKaZ9eBf9cliaZ1GG19uJ4SRkKCgqNeTWSyeT0760kx8pwSKfhU47KZeb4pbc2cmjJcSQHdfwqLiRueF2p5SQnc8306/P+54IA/RYM2GwsHnwuantqjWTxYGr5c+5MgAkwASbABJgAE2ACTIAJMAEmwASmPQEWD6Z9FXEBmQATYAJMgAkwASbABJgAE2ACTIAJTC0BFg+mlj/nzgSYABNgAkyACTABJsAEmAATYAJMYNoTYPFg2lcRF5AJMAEmwASYABNgAkyACTABJsAEmMDUEmDxYGr5c+5MgAkwASbABJgAE2ACTIAJMAEmwASmPQEWD6Z9FXEBmQATYAJMgAkwASbABJgAE2ACTIAJTC0BFg+mlj/nzgSYABNgAkyACTABJsAEmAATYAJMYNoTYPFg2lcRF5AJMAEmwASYABNgAkyACTABJsAEmMDUEmDxYGr5c+5MgAkwASbABJgAE2ACTIAJMAEmwASmPQEWD6Z9FXEBmQATYAJMgAkwASbABJgAE2ACTIAJTC0BFg+mlj/nzgSYABNgAkyACTABJsAEmAATYAJMYNoTYPFg2lcRF5AJMAEmwASYABNgAkyACTABJsAEmMDUEmDxYGr5c+5MgAkwASbABJgAE2ACTIAJMAEmwASmPQEWD6Z9FXEBmQATYAJMgAkwASbABJgAE2ACTIAJTC0BFg+mlj/nzgSYABNgAkyACTABJsAEmAATYAJMYNoTYPFg2lcRF5AJMAEmwASYABNgAkyACTABJsAEmMDUEmDxYGr5c+5MgAkwASbABJgAE2ACTIAJMAEmwASmPQEWD6Z9FXEBmQATYAJMgAkwASbABJgAE2ACTIAJTC2B/wPpc7sToA8vWAAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "id": "20ac7802-30da-43bb-9258-b3170bdf097e",
   "metadata": {},
   "source": [
    "Gozlemler daha fazla alt sayida kumelere ayrilmak istendiginde kullanilabilir. Temelde veri setini 2ye 3 ve olusan her veri etini tekrardan bolumlenerek bircok segmentasyon olusturulmus olur.\n",
    "* Asagida gorunen grafik klasik hiyerarsik kumeleme sonucunda olusan yapidir. Buna Cluster Dendrogram denir.\n",
    "* Burada y ekseninde veri setindeki gozlemler yer almaktadir.\n",
    "* Burada 4 temel kumeye bolummus fakat her kume kendi icerisinde de bolunmeler gerceklestirmis.\n",
    "* Hiyerarsik kumeleme yontemleri **Agglomerative (Birlestirici)** ve **Divisive (Bolumleyici)** sekleinte temel olarak ikiye ayrilmaktadir.\n",
    "    * Divisive\n",
    "        * Baslangicta sadece bir tane kume vardir, o da tum verisetidir.\n",
    "        1. Tum gozlemlerin bir arada oldugu kume iki alt kumeye ayrilir.\n",
    "        2. Olusan yeni kumeler birbirlerine benzemeyen alt kumelere bolunur.\n",
    "        3. Ayni islem gozlem sayisi kadar kume elde edilinceye kadar tekrar edilir.\n",
    "    * Agglomerative\n",
    "        * Baslangicta gozlem sayisi kadar kume vardir.\n",
    "        1. Verisetinde birbirine en yakin olan iki gozlem bulunur.\n",
    "        2. Bu iki nokta bir araya getirilerek yeni bir gozlem olusturulur. Yani artik veriseti ilk birlesimdeki gozlemlerden olusmaktadir.\n",
    "        3. Ayni islem tekrarlanarak yukari dogru cikilir. Yani iki kum,enin birlesiminden olusan bu yeni kumeler ayni sekilde birbirlerine benzerliklerine gore tekrar birlestirilir. Bu islem tum gozlemler tek bir kumede toplanana kadar bu islemler tekrar edilir.\n",
    "        * Birbirine yakin noktalar uzaklik olculeri kullanarak belirlenir. Bu olculere ornekler verirsek; Eucledian Distance, Manhattan Distance, Correlation etc.\n",
    "* Hiyerarsik kumelemele yontemlerinde *kume sayisina dendrograma bakarak karar verilir.* Hiyerarsik olmayan kumeleme yontemlerinde ise *kume sayisi uygulama yapilmadan once belirlenir.*\n",
    "* Hiyerarsik kumeleme yonteminde veriseti gozlemler veya degiskenler bazinda kumeleme islemlerine sokulabilirken, hiyerarsik olmayan yontemlerde ise sadece gozlemlerin kumelenmesi mumkundur.\n",
    "* Karar agaclarindan farki; karar agaclarinda ayirma islemi hedef degiskene gore yapilirken burada bagimli degisken olmadigi icin gozlemler bagimsiz degiskenler uzerinden yapilan uzaklik hesaplarina gore kumelere ayrilir.\n",
    "* ![image.png](attachment:62fc4a7c-6e66-44f2-8586-75fe30c26801.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae3dff6a-fc3f-4862-aa7e-6f14f39fdc03",
   "metadata": {},
   "source": [
    "### HC - Model Oluşturma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8d850f39-0560-4a51-b033-d538fb05529e",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"csv/USArrests.csv\")\n",
    "df.index = df.iloc[:,0]\n",
    "df = df.iloc[:,1:]\n",
    "df.index.name = None"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60a057e2-dc8f-4904-a02b-432776698232",
   "metadata": {},
   "source": [
    "Fonksiyonu kullanmak icin **scipy.cluster.hierarachy** altindan **linkage** fonksiyonunu projemize dahil etmemiz gerekiyor.\n",
    "* Burada ilk parametremize DataFrame nesnemizi veriyoruz.\n",
    "* Ikinci parametre olarak hesaplama metotlarindan hangisini kullanmak istedigimizi belirtiyoruz.\n",
    "    * Dokumantasyon icerisindeki metotlar:\n",
    "      * **method='single'**   : This is also known as the Nearest Point Algorithm.\n",
    "\n",
    "      * **method='complete'** : This is also known by the Farthest Point Algorithm or Voor Hees Algorithm.\n",
    "\n",
    "      * **method='average'**  : This is also called the UPGMA algorithm.\n",
    "\n",
    "      * **method='weighted'** : This is also called WPGMA.\n",
    "\n",
    "      * **method='centroid'** : This is also known as the UPGMC algorithm.\n",
    "\n",
    "      * **method='median'**   :  This is also known as the WPGMC algorithm.\n",
    "\n",
    "      * **method='ward'** uses the Ward variance minimization algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "9b4fc032-c72a-4512-b90e-4718a8a4d6e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import linkage\n",
    "\n",
    "hc_complete = linkage(df,\"complete\")\n",
    "hc_average  = linkage(df,\"average\")\n",
    "hc_ward   = linkage(df,\"ward\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1ad2ab2-49f2-4139-8f13-4bb4f3f8c6b7",
   "metadata": {},
   "source": [
    "Burada gorsellestirme islemini gerceklestirmek icin yine **scipy.cluster.hierarachy** altindan **dendrogram** fonksiyonunu projemize dahil etmemiz gerekiyor. Burada parametre olarak *linkage* fonksiyonu ile olusturdugumuz instancei vermemiz yeterli oluyor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "db5635c8-f49d-4cf7-86d4-a7e34e39703e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtEAAAGCCAYAAAAmO5/DAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAA700lEQVR4nO3deXxU1f3/8feQMGEJiJVqWxYFKvs3iFhQMAFUClIX1iBIsIBWglZZCrIvBUEFcUER8FtpDSqGhtWdVUT5QpI2RMAAZbEsVUHQhCUzkJzfH/4yJSGZzL2ZmcyE1/Px4EEymXPPZ27uvfOek3vPdRhjjAAAAAD4rFJ5FwAAAACEG0I0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABZFlncBAHClOHr0qLp06aLGjRtLkvLz81W9enUNGjRI3bt390sfH330kd566y0lJSX5ZXkAgOIRogEgiKpUqaLVq1d7vj927Jh+//vfKyIiQl27di3HygAAVhCiAaAc1alTR0888YT+8pe/qHPnzpo7d65SU1OVl5en5s2ba9KkSYqOjtYdd9yhnj17atu2bfrPf/6j+++/XyNGjJAkvfTSS1q7dq1q1aql66+/3rPscePG6YcfftCRI0fUqVMnDRs2TNOnT1dWVpYcDodiY2M1atQoRUZG6tNPP9XcuXNVqVIlNWvWTF988YXefvtt7dixQ3//+991/vx5RUdHa9GiRZo2bZq+/vpr/fDDD6pevbrmzp2rhg0bKiEhQS1atFBGRoZOnTql+Ph4nTx5Ujt27ND58+f14osvqkmTJuW0pgHAvzgnGgDKWdOmTbVv3z4tXrxYERERWrFihdasWaNrr71Wc+fO9Tzv3Llzevvtt7Vs2TK98cYbOnLkiNavX69PPvlEq1at0rJly3TmzJlCy87NzdX777+vMWPGaObMmapVq5bWrl2rlJQU7d27V2+88YZOnz6tsWPHas6cOVq9erXatWunb7/91rOMf/3rX0pKSlJSUpK2bNmimjVr6t1339XHH3+sli1b6q233vI899ixY1q2bJnmzJmjOXPmqG3btlqxYoViY2O1dOnSwK9MAAgSRqIBoJw5HA5VqVJFmzdvVk5Ojr744gtJ0oULF3TNNdd4nnfnnXdKkq677jpdc801+vHHH7Vt2zZ16dJF0dHRkqTevXsXOh+6TZs2nq+3bNmid955Rw6HQ06nUw888ID+9re/qUGDBmrUqJGaNm0qSerZs6dmzpzpadekSRPP8rt166Z69eopKSlJX3/9tXbs2KHWrVt7ntulSxdJUr169SRJsbGxkqT69etrx44dflpjAFD+CNEAUM6+/PJLNW7cWGfOnNGECRPUsWNHSdLZs2flcrk8z4uKivJ87XA4ZIyRJM//khQREVFo2dWqVfN8nZ+fL4fDUej7ixcvKiIiotAyJKlSpUrFLuPtt99WcnKyHnzwQd17772qVauWjh496vm50+kstJzKlSv7sAYAIPxwOgcAlKNDhw5pwYIFGjJkiG6//Xa99dZbcrvdys/P1+TJkzVv3jyv7ePi4vTRRx8pOztb+fn5hS5aLOr222/X0qVLZYyR2+1WcnKy2rdvr5tvvlmHDx9WVlaWJOnjjz9WdnZ2ocBdYOvWrerZs6f69u2rBg0aaOPGjcrLyyvbSgCAMMRINAAEUW5uru6//35JP432RkVFadSoUerUqZNuvfVWPfvss+rZs6fy8vLUrFkzjRs3zuvyOnbsqL1796p3796qWbOmmjZtqtOnTxf73EmTJmnmzJm69957deHCBcXGxmrYsGFyOp2aN2+ennrqKVWqVEktW7ZUZGSkqlatetkyhgwZoilTpujvf/+7JOmmm27Svn37yrhWACD8OEzRv+EBAK4oZ86c0YIFC/THP/5RVatW1e7du/Xoo4/qs88+K3Y0GgDASDQAXPGio6NVuXJl9enTR5GRkYqMjNSLL75IgAYALxiJBgAAACziwkIAAADAorA7nSM/P19nz55V5cqV+VMjAAAAAsYYowsXLqh69eqFpv6UwjBEnz17livBAQAAEDSNGzdWjRo1Cj0WdiG6YOL+xo0bXzapvyTt2rVLLVu2tLRMO22C2Veo1xfMvqgvfPoK9fqC2Veo1xfMvkK9vmD2RX3h01eo1xfMvkK9Pn/35Xa7tW/fvmJvHBV2IbrgFA6n01no7l2XKulxb+y0CWZfoV5fMPuivvDpK9TrC2ZfoV5fMPsK9fqC2Rf1hU9foV5fMPsK9foC0VdxpxBzYSEAAABgESEaAAAAsIgQDQAAAFgUsHOi8/LyNGnSJB06dEgRERGaPXu2jDEaN26cHA6HbrzxRk2dOlWVKlVScnKyli1bpsjISCUmJqpz586BKgsAAAAos4CF6E2bNkmSli1bpu3bt3tC9IgRI9SuXTtNmTJFGzZs0E033aSkpCSlpKTI5XJpwIAB6tChQ7EzbwAAAAChIGAh+q677lKnTp0kScePH1ft2rW1efNmtW3bVpIUFxenzz//XJUqVVLr1q3ldDrldDpVv359ZWVlKSYmJlClAQAAAGXiMMaYQHbw1FNPad26dXr55Zc1btw4bd26VZK0bds2paSkKDY2Vvv27dOYMWMkSWPHjlWPHj3Uvn37Ypfncrm0a9euQJYMAAAAeLRs2fLyKfBMEHz33XemU6dO5pZbbvE8tm7dOjN9+nSzfv16M3XqVM/jw4cPN5mZmSUuKzc316SlpZnc3Nxif56Wlma5PjttgtlXqNcXzL6oL3z6CvX6gtlXqNcXzL5Cvb5g9kV94dNXqNcXzL5CvT5/9+UtdwZsdo5Vq1Zp0aJFkqSqVavK4XCoZcuW2r59uyRpy5YtuuWWWxQTE6P09HS5XC7l5OTowIEDaty4caDKAgAAAMosYOdE//a3v9X48eP14IMP6uLFi5owYYIaNWqkyZMna968eWrYsKG6du2qiIgIJSQkaMCAATLGaOTIkbbvTgMAAAAEQ8BCdLVq1fTSSy9d9vjSpUsveyw+Pl7x8fGBKgUAAADwK262AgAAAFgUsJFo+MfYtel6O3W/nB9+bbmt2+223M5Om2D2RX3h01eo1xfMvkK9vmD2Fer1SVLsL6rob20sNwNwhWEkOsT9fefX+u7chfIuAwCuCEd/PKcN/84u7zIAhAFGosPAtdUq6+CkXpbbpaenq00ba8MpdtoEsy/qC5++Qr2+YPYV6vUFs69Qr6/hzBVyu92W2gC4MjESDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABYRogEAAACLCNEAAACARYRoAAAAwCJCNAAAAGARIRoAAACwiBANAAAAWESIBgAAACwiRAMAAAAWEaIBAAAAiwjRAAAAgEWEaAAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABYRogEAAACLCNEAAACARYRoAAAAwCJCNAAAAGARIRoAAACwiBANAAAAWBQZiIVeuHBBEyZM0LFjx+R2u5WYmKhf/OIXGjZsmG644QZJUv/+/dW9e3clJydr2bJlioyMVGJiojp37hyIkgAAAAC/CUiIXrNmjWrVqqU5c+bo9OnT6tmzpx577DENHjxYQ4YM8TzvxIkTSkpKUkpKilwulwYMGKAOHTrI6XQGoiwAAADALwISort166auXbt6vo+IiNCuXbt06NAhbdiwQddff70mTJigzMxMtW7dWk6nU06nU/Xr11dWVpZiYmICURYAAADgFw5jjAnUws+cOaPExETFx8fL7XarSZMmatmypV577TVlZ2eradOm2rdvn8aMGSNJGjt2rHr06KH27duXuEyXy6Vdu3YFquSQc//q/ZKk1fffWM6VAEDFxzEXQHFatmypqKiowg+aADl+/Ljp2bOnWb58uTHGmB9//NHzs/3795tBgwaZ9evXm6lTp3oeHz58uMnMzPS63NzcXJOWlmZyc3OL/XlaWprlWu20CVZfDWakmDqT37Hcj52+7LYJZl/UFz59hXp9wewr1OsLZl+hXp/dY25FXBehXl8w+wr1+oLZV6jX5+++vOXOgMzOcfLkSQ0ZMkRjxoxRnz59JElDhw5VZmamJGnbtm1q0aKFYmJilJ6eLpfLpZycHB04cECNGzcOREkAAACA3wTknOiFCxcqOztbCxYs0IIFCyRJ48aN06xZs1S5cmXVrl1bM2bMUHR0tBISEjRgwAAZYzRy5MjLh8oBAACAEBOQED1p0iRNmjTpsseXLVt22WPx8fGKj48PRBkAAABAQHCzFQAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABYRogEAAACLCNEAAACARYRoAAAAwCJCNAAAAGARIRoAAACwiBANAAAAWESIBgAAACwiRAMAAAAWEaIBAAAAiwjRAAAAgEWEaAAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABYRogEAAACLCNEAAACARYRoAAAAwCJCNAAAAGARIRoAAACwiBANAAAAWESIBgAAACyKDMRCL1y4oAkTJujYsWNyu91KTEzUr3/9a40bN04Oh0M33nijpk6dqkqVKik5OVnLli1TZGSkEhMT1blz50CUBAAAAPhNQEL0mjVrVKtWLc2ZM0enT59Wz5491bRpU40YMULt2rXTlClTtGHDBt10001KSkpSSkqKXC6XBgwYoA4dOsjpdAaiLAAAAMAvAhKiu3Xrpq5du3q+j4iI0O7du9W2bVtJUlxcnD7//HNVqlRJrVu3ltPplNPpVP369ZWVlaWYmJhAlAUAAAD4hcMYYwK18DNnzigxMVHx8fF69tlntXXrVknStm3blJKSotjYWO3bt09jxoyRJI0dO1Y9evRQ+/btS1ymy+XSrl27AlVyyLl/9X5J0ur7byznSgCg4uOYC6A4LVu2VFRUVOEHTYAcP37c9OzZ0yxfvtwYY0xsbKznZ+vWrTPTp08369evN1OnTvU8Pnz4cJOZmel1ubm5uSYtLc3k5uYW+/O0tDTLtdppE6y+GsxIMXUmv2O5Hzt92W0TzL6oL3z6CvX6gtlXqNcXzL5CvT67x9yKuC5Cvb5g9hXq9QWzr1Cvz999ecudAZmd4+TJkxoyZIjGjBmjPn36SJKaN2+u7du3S5K2bNmiW265RTExMUpPT5fL5VJOTo4OHDigxo0bB6IkAAAAwG8Cck70woULlZ2drQULFmjBggWSpIkTJ2rmzJmaN2+eGjZsqK5duyoiIkIJCQkaMGCAjDEaOXLk5UPlAAAAQIgJSIieNGmSJk2adNnjS5cuveyx+Ph4xcfHB6IMAAAAICC42QoAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABYRogEAAACLCNEAAACARYRoAAAAwCJCNAAAAGARIRoAAACwiBANAAAAWESIBgAAACwiRAMAAAAWEaIBAAAAiwjRAAAAgEWEaAAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFgUWd4FAEA4yX/tZe38Yqu1Nm63djqd1vuy0S7U+wr1+twdR8jIaGfzRgHvK9TXRajXZ6fdz3r2lnr1s9wPUByfRqJdLtdlj3311Vd+LwYAQt7mjXIfO1reVSBA3v/0Ra1aN6e8y0AAuI8d1amVKeVdBioQn0aiH3nkES1evFhVqlRRbm6uXnrpJa1du1Zbt1objQGAisBZp65a7Tng8/PT09PVqk0by/3YaRfqfYV6fcHsi/qC25fVvy4ApfFpJPrOO+/UI488onXr1umee+5Rdna23nvvvUDXBgAAAIQkn0aiH3roIdWsWVMjR47UK6+8ok6dOgW4LAAAACB0eQ3RCQkJcjgckiRjjKKjozVz5ky98cYbkqQ333wz8BUCAAAAIcZriP7jH/8YrDoAAACAsOH1nOjq1aurbdu2cjgcxf4DAAAArkReR6LfeecdzZw5Uy+//PJlP3M4HJzOAQAAgCuS1xA9c+ZMSVJSUlJQigEAAADCgc8XFhaHkWgAAABcibiwEAAAALDIa4hu27atJGnjxo264447PI9/9913mjFjhufnAAAAwJXEpzsWvvDCC1q3bp0k6a233lKPHj3UtGnTgBYGAAAAhCqf7lj417/+VY8++qgWLFign/3sZ3rnnXd0/fXXB7o2AAAAICR5HYlOTU1VamqqDh48qMTERJ04cUJxcXH67rvvlJqaGqwaAQAAgJDidSS66PzQDRo00Pr167V+/XrmiQYAAMAVy2uIZn5oAAAA4HI+nROdkZGhRYsW6dy5czLGKD8/X8ePH9fGjRu9ttu5c6fmzp2rpKQk7d69W8OGDdMNN9wgSerfv7+6d++u5ORkLVu2TJGRkUpMTFTnzp3L/KIAAACAQPIpRE+YMEFDhw7VypUrlZCQoE8++UTNmzf32ub111/XmjVrVLVqVUnSnj17NHjwYA0ZMsTznBMnTigpKUkpKSlyuVwaMGCAOnToIKfTWYaXBAAAAASWT1PcOZ1O9e7dW23btlXNmjX13HPPaevWrV7b1K9fX/Pnz/d8v2vXLm3evFkPPvigJkyYoDNnzigzM1OtW7eW0+lUjRo1VL9+fWVlZZXtFQEAAAAB5jDGmNKe1K9fPy1atEifffaZjh07pmHDhqlr1676+OOPvbY7evSoRo0apeTkZKWkpKhJkyZq2bKlXnvtNWVnZ6tp06bat2+fxowZI0kaO3asevToofbt25e4TJfLpV27dll8meHr/tX7JUmr77+xnCsBIEn5/XpIkiq9u6pc6wBgDfsuyqJly5aKiooq/KDxwQcffGB+//vfm5ycHNOtWzfTvXt3M2rUqFLbHTlyxPTt29cYY8yPP/7oeXz//v1m0KBBZv369Wbq1Kmex4cPH24yMzO9LjM3N9ekpaWZ3NzcYn+elpbmwysqe5tg9dVgRoqpM/kdy/3Y6ctum2D2RX3h01eo12e33Y5GdU1Gs4YB78duu1DvK9TrC2Zf1BfcvjKaNTQZzRqGbH3h0leo1+fvvrzlTp/Oib777rvVrVs3ORwOpaSk6PDhw6pRo4alBD906FBNnjxZMTEx2rZtm1q0aKGYmBi9+OKLcrlccrvdOnDggBo3bmxpuQAAAECw+RSib775Zs2ePVtdu3ZVtWrV1Lx5c/Xs2VMrV670uaNp06ZpxowZqly5smrXrq0ZM2YoOjpaCQkJGjBggIwxGjly5OVD5QAAAECI8SlEX3311VqyZIl2796tUaNGSZJM6adSq27dukpOTpYktWjRQsuWLbvsOfHx8YqPj7dSMwAAAFCufJqdo2bNmnrzzTf1zTff6JFHHlFOTo4qVfKpKQAAAFDh+JSEjTFyOp167rnndOuttyo+Pl45OTmBrg0AAAAIST6F6Li4OM/XQ4cO1YQJExiJBgAAwBXL6znRTZs2lcPhkDFGr7/+uhwOh2rWrKn27dvr3XffDVaNAAAAQEjxGqKLu3vgyZMnlZycrD//+c+aN29ewAoDAAAAQpXlczJq166t4cOHa+/evYGoBwAAAAh5tk9srly5sj/rAAAAAMKGrRD9ySefqFatWn4uBQAAAAgPXs+JvuOOO+RwOAo9dubMGV1//fWaM2dOQAsDAAAAQpXXEJ2UlFTo+0qVKqlmzZqqXr16QIsCAAAAQpnXEF2nTp1g1QEAAACEDe6YAgAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABYRogEAAACLCNEAAACARYRoAAAAwCJCNAAAAGARIRoAAACwiBANAAAAWESIBgAAACwiRAMAAAAWEaIBAAAAiwjRAAAAgEWEaAAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYFFneBQRD6qEPdPhkZok/d7vdOpi6zvJy7bSz2uas6zpJRstTn7FYXXDq89buhtox+k2D7paXBQAAEOoCOhK9c+dOJSQkSJK+/vpr9e/fXwMGDNDUqVOVn58vSUpOTlavXr0UHx+vTZs2BaSOwyczdc6VHZBlB9or932red2OlncZlp1zZXv94AIAABDOAjYS/frrr2vNmjWqWrWqJGn27NkaMWKE2rVrpylTpmjDhg266aablJSUpJSUFLlcLg0YMEAdOnSQ0+n0ez3Vomqq72/GFfuz9PR0tWnTxvIy7bQLVpvy7svOyDkAAEC4CNhIdP369TV//nzP97t371bbtm0lSXFxcfriiy+UmZmp1q1by+l0qkaNGqpfv76ysrICVRIAAADgFw5jjAnUwo8ePapRo0YpOTlZt99+u7Zu3SpJ2rZtm1JSUhQbG6t9+/ZpzJgxkqSxY8eqR48eat++fYnLdLlc2rVrl6U6snLflyQ1rfI7m68EVrHOUVHl9+shSar07qpyrQOANey7KIuWLVsqKiqq8IMmgI4cOWL69u1rjDEmNjbW8/i6devM9OnTzfr1683UqVM9jw8fPtxkZmZ6XWZubq5JS0szubm5xf48LS3tsseSd8w2yTtml7jM4tr4wk67YLUp775KW+d2+wr1dRHq9QWzr1Cvz267HY3qmoxmDQPej912od5XqNcXzL6oL7h9ZTRraDKaNQzZ+sKlr1Cvz999ecudQZvirnnz5tq+fbskacuWLbrlllsUExOj9PR0uVwu5eTk6MCBA2rcuHGwSgIAAABsCdoUd0899ZQmT56sefPmqWHDhuratasiIiKUkJCgAQMGyBijkSNHXj5UDgAAAISYgIbounXrKjk5WZLUoEEDLV269LLnxMfHKz4+PpBlAAAAAH7FHQsBAAAAiwjRAAAAgEWEaAAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsCtrNVgAAQPAcmThWp1amSJLy3W7tdDottbfTJpT7ch87+tMX/XqEZH3l0lf726X//ZvlvvATRqIBAKiATq1M+W9whJx16spZp255lxEy3MeOSps3lncZYY2RaAAAKihnnbpqteeA0tPT1apNG0tt7bSx2y7U+wr1+uy029m8kdxut+V+8F+MRAMAAAAWEaIBAAAAiwjRAAAAgEWEaAAAAMAiQjQAAABgESEaAAAAsIgQDQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCIEA0AAABYRIgGAAAALCJEAwAAABZFlncBAFCcIxPH6tTKFJ+em+92a6fTabkPW+2++05uh7SzeaPA9mOj3c969pZ69bPcDwDAOkaiAYSkUytT5D52tLzLuNy118pZp255V3EZ97GjPn/oAACUHSPRAEKWs05dtdpzoNTnpaenq1WbNpaXb6ddsNpYbWdlZBwAUHaMRAMAAAAWMRIdZlIPfaDDJzN9eq7b7dbB1HWWlm+nTXHtzrl+lCQtT30mJOsrcEPtGP2mQXfLywMAAFc2RqLDzOGTmTrnyi7vMkpVLeoqVYu6qrzL8OqcK9vnDyQAAACXYiQ6DFWLqqm+vxlX6vPS09PVxsa5m1bbBLMvf9bnbZQcAADAG0aiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYBEhGgAAALCI2TkAAAD86MjEsTq1MkX5brd2Op2W2tppY6ed+9hRyVi/22mw6ru0zc969la9p5+z3GegMRINAADgR6dWpvwUUkOYs05d6dpry7uMUrmPHdWplSnlXUaxGIkGAADwM2edurqYlKxWNu6HYLWN3XbBalOWviIT4i33FSyMRAMAAAAWMRKNkJZ66INCt+Z2u906mLrO8nKKa3fO9aOkku9caKevom1uqB2j3zTobrFaAAAQ6hiJRkg7fDJT51zZAVl2tairVC3qqoAsW5LOubILfQAAAAAVR9BHonv06KEaNWpIkurWrathw4Zp3LhxcjgcuvHGGzV16lRVqkS2x39Vi6qpvr8ZJ+mn86Pa2DwXy2q7srYpaYQbAACEv6CGaJfLJUlKSkryPDZs2DCNGDFC7dq105QpU7RhwwZ16dIlmGUBAAAAlgR1yDcrK0vnz5/XkCFDNGjQIGVkZGj37t1q27atJCkuLk5ffPFFMEsCAAAALHMYY0ywOtu7d6927typvn376vDhw3rkkUeUm5urrVu3SpK2bdumlJQUzZ07t8RluFwu7dq1y1K/WbnvS5KaVvmd/eJt+s+Fnfoxz39zRV4w5yVJlR1V/bbMqyLq6peVW/ltef5Unr+7sgrn2kNBfr8ekqRK764q1zrCBesLRbFNlB/Wvf+Eyrps2bKloqKiCj0W1NM5GjRooOuvv14Oh0MNGjRQrVq1tHv3bs/Pz549q5o1a/q0rOJejFT8eawFsyWUdH5rIM+zXZ66Thcv5qpa1E+vy+12y2nxjj2XtnHKwt2IfOjrnCtb5yO+87yOUDvnuOjvLtTq89amtO2uPOoLZl9lra/gzla+zCta0deFLwrW10X5ts2Vpa9gt6mofQW6vkv3oVCsL5z6stqmLPtjRVsXZe3LaeG9oKx9FdfG2+BtUEP03//+d+3bt0/Tpk3Tt99+qzNnzqhDhw7avn272rVrpy1btujWW28NZklBUdYL4wIb8rn4DQAAwKqghug+ffpo/Pjx6t+/vxwOh2bNmqWrr75akydP1rx589SwYUN17do1mCUBAAAAlgU1RDudTj3//POXPb506dJglgEAAACUCRMyAwAAABYRogEAAACLCNEAAACARUG/7TcAAAAqriMTx+rUypRCj+W73Z6p/3yV73bLfeI7SdLO5o0stSuur5/17K16Tz9nqQZvGIkGAACA35xamSL3Mf/caM5Zp66cdeqWeTnuY0cvC/ZlxUg0AAAA/MpZp65a7Tng+T49Pd3SDVPstimpnZWRbF9VqBCdeugD7ctN89wprsA514+SSr6xSNW8ayVZ/yUBAADgylShQvThk5m6YM5fdmvsalFXldjmnCtbboc70KUBAACgAqlQIVqSKjuqem6x7Yvlqc/I7SZEA2VV9EISOxeRXNqu4Hw6X/4E52tf/r6oxBdHJo5V/rvvlGld+MJz/mG/HgHtqzzWIQCEIi4sBOAX/ryQRPLfxSQFAnFRiS9OrUyR/v/V5YHk7/VVnPJahwAQiircSDSA8nPphST+vCDEH20CcVGJz35+baELbHxV3hfiFFWu6xAAQgwj0QAAAIBFjEQDxShpppfSuN1uT5vSZoUpqV1RN9SO0W8adLdUBwAACCxCNFCMkmZ6scLbrDC+OufK1uGTmYRoIEwVd+e2AmW9+LY0l16ca/ducWWtryJciGrn4mC7F/r+rGdvqVc/qyWinBCigRJYnelF+um80jY2z0ctrp0vo9gAQlfBBbeBvuizOOXR56UKLkQN9xDtuTjYwvosWPdWZv/yXLhLiA4bhGgAAAKo6J3bCoTaxbf+aHNpuwp1IWoQLg6uUOvrCkGIrqB8Pae36Hm7nJsLhKeC0wYCeYpA0bm7A3mKQEU4DQBAxcbsHBVUwTm9pakWdZVP5+4WnJsLIDT5e57u4gRjLmqJ+agBhAdGoiswf57Ty7m5QOhz1qmri0nJYX+KAH/WBhAOGIkGAAAALGIkGoBXvk7vZOV8WX+e72q3Pm81cj4uAKA0jEQD8MozvVMpfD1f1t/nu4Z6fQCAiomRaAClszG9U0nnvgbkfFc/Tj/F+biBw18NAFQkhGggCFIPfeB1dpOSphb0dutwpiNEuPH1phW+zgBSUW7mASA8EaLh4W1uaW9hTpKq5l0ryfqMAFeKwyczdc6VrWpRNS21s3PrcG4VjpDGXw0AVBCEaHgUzC3t1OV/MvUW5s65suV2+H5r0ytVtaiaJU45aOd24UxHCMCfCm7YU6CsN+4p7rSc0tqUhtN3EEoI0SjEztzSy1OfkdtNiAaAcFZwwx5/3VDH3zfmCbfTd3y9BqCA52ZJ/XrwgSJMEKIBAChF0VHaokoaSfU2GhusaSCtcNap6zndxs7NdOy2q4g34fH1GoACBR86fBmUCrcPFBUVIRoAgFLYHaW1MxpLQKpA/Diz0aXC7QNFRUWItsnbRXiXKnpBHjMqAEB4unSUtih/jr4SkIDwQIi2ydtFeJe69II898XzumDcuug6f9nzjIz2HPus2GnQKuLMF3wIAbzjfEpcKZg/HOGKEF0GVi/CW576jC7kuS1NW1ZRZ76w8yHEG6Z1g1UlvXGXNqNAfvvbpf/9W8Dr43xKXCmYPxzhihAdZHaCd0Wd+cLqukg99IH2HU8r4adG51w/XjHzWDOnd9mV9Mbt7Y3afeyotHljoEv7L86nhB/YHekN6oWPzB+OMESIRthgHuv/CvV14e1NO1RGeiVZfuPe2bxRSH+o5c/iKA4jvfCXcDjGBPOvjIRohBXmsf6vUF4X3t60Q2qkt4KpqGEp1E+9CQt+/KsGI71XrnA4xgTzr4yEaACBYeNNO9RHesNCBfyzeFicegP4QTiM9IbFMSZIf2UkRAMAQl8FO/UGKE44jPTivwjRAAAAoSIcRnohiRANAEDQhc3Ft4AfVNTrGgjRAHCFq6hvcKGMi29xJamo1zUQogE/Ye5mhKuK+gZnR1A/UHDxLa4kFfC6BkI04CehPncz4FUFfIOzgw8UAHxFiAb8KJTnbgbgIz5QhMU525yGhPJGiAYAAIWEwznb/NUA5Y0QDQAALhcO52zzVwNJjMqXl5AI0fn5+Zo2bZr27t0rp9OpmTNn6vrrry/vsgAAAEIeo/LlIyRC9Pr16+V2u/Xuu+8qIyNDzzzzjF577bXyLgsAACA8MCofdCERotPT0xUbGytJuummm7Rr164Sn2uMkaRif/GRqiLjiJDL5fK5bzttgtlXqNcXzL6or3z6MrV/Ll24EPA2FbWvUK8vmH2Fen3B7Iv6wqevUK8vmH2Fen2B6Ksgbxbkz0s5THGPBtnEiRP129/+Vh07dpQkderUSevXr1dk5OUZPycnR/v27Qt2iQAAALhCNW7cWDVq1Cj0WEiMREdHR+vs2bOe7/Pz84sN0JJUvXp1NW7cWJUrV5bD4QhWiQAAALjCGGN04cIFVa9e/bKfhUSIvvnmm7Vp0yZ1795dGRkZaty4cYnPrVSp0mWfBAAAAIBAqFKlSrGPh8TpHAWzc+zbt0/GGM2aNUuNGhU/HQsAAABQ3kIiRAMAAADhpFJ5FwAAAACEG0I0AAAAYBEhGgAAALCoQoVot9ut3NzcgCz7zJkzZWqfn5/vp0oQjDssff/99wHvoyLLzc0Nyu/J7iUd+fn5+vbbb9kvUW5OnTple/sFEBrCOkQfOnRITzzxhEaPHq2MjAzde++9+t3vfqcPPvjA73116NBBy5cvt9TmyJEjGj58uOLi4nTXXXepU6dO+sMf/qBDhw75vb6KaOPGjercubO6dOlS6Hf68MMP+72vQ4cOFfqXmJjo+RqlK9jWp0yZoi+++ELdu3dX9+7dtWnTJr/39e9//1tDhw5V586d1bJlS8XHx2v06NE6ceKE13YTJkyQJO3cuVNdu3bV448/rnvuuUcZGRl+rxEoKiUlRa+88op2796tbt26afDgwerWrZu++OKL8i4NgE0hMU+0XZMnT9bw4cOVk5OjRx99VGvWrFGNGjU0ePBgde/evdg2p06d0uLFixUVFaXf//73uvrqqyVJr7zyih5//PES+2ratKm++uorDRo0SI8//rjatm1ban0TJ07U6NGj1apVK89jGRkZGj9+vJYtW2bx1fqfMUYbNmxQ7dq11aBBA82ePVuVKlXSqFGjVLt27RLbrV27Vunp6Tp//ryuvvpqtW/fXnFxcX6vb+HChVq5cqWMMXryySflcrnUs2dPn0Zv1q9fr23btiknJ0c1a9ZUmzZt1K1btxJv0DN48GBVqVJF1157rYwxOnTokKZMmSKHw6E333zT3y8tKEaPHq0JEybommuuKdNyZs+erfHjx3t9zoQJE/THP/5Rx44d0xNPPKGPP/5YUVFRevjhh9W5c+cy9V/U9OnTNWnSJDVo0EAZGRnavHmz7rrrLk2cOFGLFy8usd3Ro0clSS+88IJef/113XDDDfr22281evRoLV26tNg2do8XmzdvVmRkpNq2batnnnlG2dnZGjVqlH71q1+V2MbOfnXkyBEdPHhQ7dq10+LFi7V79279+te/1rBhw7zOp//hhx/q7rvv1rlz5zR//nxlZWWpRYsWSkxMLPaGAnbb2K1Psr4PS2U/NvmyrUv2jp1vv/22kpKSlJiYqNdee00NGjTQt99+q+HDh6t9+/Yl9mVnPy7LerfKznZRUQXzeGGX1b789T7iKzv7vd0scylf9/2iwjpEX7x4Ue3bt5cxRvPmzdN1110nSSXe7VCSxo4dqy5duujixYsaOHCgFi9erDp16mjHjh1e+4qKitKUKVP05ZdfavHixfrzn/+s2267TfXq1dOgQYOKbeN2uwsFaEm66aabSn1ddjbahIQEXbhwodBjxhg5HI4SA/uMGTN0/vx5nThxQj/88IP69eun6tWra9KkSVq4cGGxbWbOnKkaNWrojjvu0KZNmxQdHa0tW7boH//4h0aMGFFqnVbe5CpXrqxatWpJkhYsWKCHHnpIv/zlL0u9U+X06dOVn5+vuLg4Va9eXWfPntWWLVu0detWPf3008W2SUlJ0dSpU9W/f3916NBBCQkJSkpKKvX12DlovvvuuyUur1+/fn5r889//lMPP/ywBg4cqF69evl8h88HHnjA87UxRgcOHNDOnTslqcRt6eLFi54Pltu3b/dsu972RTuvSfrp1KoGDRpI+ml/mjdvnkaMGKHs7OwS21wqIiJCN9xwgyTpuuuu83pKh53jxcSJE+VyuXT27FnNnz9f9913n6677jpNnjxZf/nLX4ptY3e/euqpp/Tkk0/q6aef1i9+8QuNGDFCqampGj16tNcPFO+8847uvvtuPf3006pXr54mTZqkbdu2acqUKXr++ef91sZufXb2YTvr0M62Ltk7dlauXFnVqlVT9erVVa9ePUk/bX+l7Zd29mO7691O+LazXdhlNyzZDfpWA12wjhfF8SUE2unL7vuIZD2w29nvJXv7o919v6iwDtF16tTRyJEjlZeXp+rVq+uFF15QdHS0fv7zn5fYxu12e96gmzVrpuHDhyspKanU0c2Cn//P//yP5s+fr5ycHKWmpnr9c3+TJk00fvx4xcbGqkaNGjp79qw+/fRTNWnSxGtfdjbaP/3pT5o0aZJeffVVRURElPp8ScrKytLbb78tt9ute++9V3379pXkPdxkZWV5Ru3i4uI0bNgwLVy4UP379y+1P6tvcnXq1NHs2bP15JNPKjo6Wq+88oqGDh1aaljav3//ZSOLd955Z6GdpqhrrrlGL774op599ll9+eWXpb6WAnYOmgcPHtSmTZt03333+dyPnTZ16tTRq6++qpdffln33Xef7rnnHsXFxalevXqKjo4usd2DDz6olJQUTZw4UVWrVtXo0aNLfTNs0KCBJk6cqBkzZuiZZ56RJC1evNjrG5ud1yRJdevW1ZQpUxQXF6fNmzerWbNm+uSTT1S1alWv7XJyctSrVy+dO3dOy5cv13333adnnnnG62iPnePF4cOH9dZbb8kYo9/97nd68MEHJUl/+9vfSmxjd7+KiIhQu3bttHDhQs2YMcNT54cffui1XYGvv/7a8+bUqFEjffLJJ35tY7c+O/uwnXVoZ1sv6MvqsfOOO+5QYmKiGjdurEcffVSxsbH67LPPdOutt3rty85+bHe92w3fkvVtafTo0SX+rKTfgZ2wJNkL+nYCXbCOF5K9EGinL7vvI3YCu539XrK3P9rd94sK6xD97LPP6tNPP9UNN9yg6tWr669//auqVKmiWbNmldgmLy9Pe/fuVZMmTXTzzTfr0UcfVWJios6dO+e1r169ehX6viAMejNt2jStX79e6enpOnPmjKKjoz3n+HpjZ6Nt1aqV7r//fu3du7fU5V8qPT1dbdq00ZIlSyT9dCD0dkGYy+XSzp071apVK6WlpenixYs6ceKEzp8/X2pfVt/kZs2apTVr1ng+RPzyl7/Um2++qUWLFnntJz8/X2lpabrllls8j+3YsUOVK1f22i4yMlITJ07UihUrfL7gx85Bc/z48Tp48KDi4uIUExPjUz922jgcDtWsWVOTJk3SqVOn9NFHH2nBggU6fPiw1q5dW2K7e++9V7/+9a/13HPPafz48YqKilKdOnW89jVz5kxt3LhRlSr99zKL6667TgkJCX59TdJPIy7Lly/X559/rpiYGPXu3Vtffvml5s2b57XdypUr5Xa7lZWVpSpVqsjhcKhx48bq06dPiW3sHC8uXryozz77TKdPn9b333+vAwcOqHr16rp48WKJbezuVzVq1NBHH32kjh07atWqVercubM2b95c6geKw4cP669//asiIiK0Z88eNW/eXJmZmV73/YI2kZGRPrexW19x+3BqaqrXfdjOOrSzrReweuz8wx/+oB07dmjr1q361a9+pe+//14JCQnq1KmT137s7MfFrfdPP/201PVuJ3wXty19+eWXpV5Y3K1bN73wwguaNm2a1+ddyk5YupSVoG8n0PnreBEdHe31eCHZC4EXL17Uli1b9MMPP/jcl933ETuB3c5+X8Dq/liWfb8Qc4XZs2ePGThwoDlx4oQxxpjz58+b1atXm7Zt25ZzZf+VkJDg+fr77783b731lnn88cfNPffc49d+/vWvf5nHHnus0GPDhg0z//jHP0pss3v3btOrVy/ToUMH88ADD5isrCyzaNEis3HjxlL769Onj8nIyDDGGJOammqGDh1qvvvuO3P//feX6XUU9fXXX5thw4aZuLg4Exsba9q2bWuGDBliDh8+7Nd+jDFmwIABJisry/P9+++/bwYMGGB69Ojhtd33339vjh49aoz5aRt0uVyl9nXq1ClPmwLe2o0cObLYx3Nzc0vtyxhjTp8+bYYPH+7Z7nyp0apL18PJkyf9vvyyKnq8OHnypFm1apXX48VXX31lHn/8cfPqq6+a9957z9x2222me/fuJj09vcQ2Rfer1NRUs2TJklL3q++//96MGzfO/Pa3vzUtWrQwt912m3niiSfM8ePHvbbbvXu3SU5ONlOnTjUrVqww3377rYmPjzd79uzxuc3JkydN3759vbYpWl9MTIx54oknzLFjx7zWV3Qf7tixoxk2bFihfa24+nr37u1ZhwcPHjRLliwxmzZt8tqXMf/d1u+8807jdrtLff7+/fvN8OHDTX5+vjHGmBMnTphhw4aZf/7zn6W2tarofuzL8aLoeu/QoYNP20ViYqL58MMPzZIlS8zKlSvNDz/8YFavXm0GDx5cYpvdu3eb5cuXm2nTppkVK1aY7Oxs07dvX6/vIwVmzpxpPvjgg1KfV6B///4mLS3NGGM829Dhw4fNAw884LVdbGysWbJkiXnooYfM7t27jTHGZGZmmn79+nntKzU1tdBjO3bsMAMHDiyxzVdffWUGDhxY6Fjmy/Hiscce8xwvWrRoYe6++26vx4sCe/bsMQ8//LA5cOBAodzgra+ix6a7777bs06LU3T78/U4HR8fb7Zs2eLJV//617/MN9984/V3del+f/vtt5sWLVqYYcOGmUOHDnnta//+/eaxxx7z7I/nz583Q4YM8Wl/LNj3u3Tp4tPrKuqKC9H//ve/TWJiopk8ebL5/PPPTefOnc2dd95pNmzYUN6leZQUfvxtw4YNplOnTuauu+4y77//vudxbzvjpetv69atltbfrl27CgWFgjc5XwK4FUVr7NSpk7njjjv83o8xl4csY0o/aJa0DXqrz87vyk6bou3Wrl1rdu7c6VM7qw4ePFjoX9++fT1fh4qDBw+aAwcOXFbj/v37S2xT9PdbsP1520cK+in45+u6sLutF7cNltbu0t+VrzUWbdOnTx+fXlfBNnjnnXea9957z/O4L9u7lTaXrofPPvvMxMTElLovFn1dgd52y3K8sLIujCk5fHv70HPp8cJKX3YU/fBiTOkDP8Zc/gGwIOgXBOriFAS62NhYc/vtt5u4uLhSA11Jx9wBAwaU2MbuPlLg1KlThQY7vLHzuypuWz906FCp9e3Zs8c89thj5pVXXvE5sF+6Hqysi5KOZ6Udcwv+7d+/3zRr1syn11XUFReiBw4caLZv325WrFhh2rRpY06ePGlycnK8fiKtqPr27Wt++OEHc+rUKZOQkGBWrFhhjDFeP2kXrL+VK1eG7PoLhRrz8vJKrc/KNti3b19z+vRpS78rO23K0s6qjh07mq5du5qEhAQzcOBAc8stt5iBAwcG5M3XLjs12vn92l0Xdrd1f9WYkJDgtcaibX7zm9+U2sYYe8emshzPrL4f2FkXdgXreGGX3b4GDhxo+vXrV+hffHx8SL2XWGVnG7S7j1wqLy/PZGZmBqW+QB6n7a6LYB5ziwrrc6LtsDOLQLDZmWnDjsqVK+uqq66S5PvsF5euv//7v/+ztP6Ke10F/Pm6ylKjVXZek51t0M5MJXZnN7Hbziq7M6IEk50a7fx+7a4Lu9u6v2osbfpHO20ke8emsh7PrLwf2H1ddgTreCHZO57Z7cvOxfB230PstLO7Lqxug3a3JTs5wV/1+XJssrP+7K6LYB5zL2MpclcA48ePNxMmTCg0Urho0SLz5JNPll9RRWRkZJh77rnHfP311+bo0aOF/vnTmDFjzKxZs8zZs2eNMcYcP37c3H333aZDhw4ltinL+gvW6wrm79jOa7JTn53flZ02ZWlnx4ULF8zMmTPNa6+9FpBRMn+wWqPd7c/OurDbVzBrtNMmWNt7WY4Vwdp2g3W8MMbe8awsx4vXX3/dfPLJJ6U+ryz12W0XzHVhZ1uqiPXZ7SuYx7OirrgQnZeXZ9atW1fosVWrVplz586VU0XFs3pwsePChQsmJSWl0Gs/ceKEmTlzZoltyrr+gvG6gv07tvqa7NRn53dlp01Z2pVFSkqKefDBBwO2fH/wtcaybn9W1oXdvoJZo502wdre/XGsCPS2G6zjRQGrx7NgHy/svofYaRfsdWF1W6po9dntqzyOZwUcxvg4lxcAAAAASVKl0p8CAAAA4FKEaAAAAMAiQjQAhLAmTZpYev78+fM1f/58y/2sWLFC48aNs9wOAK5UhGgAAADAotCZHBkAUKLt27dr0aJFqlKlig4cOKAmTZpo7ty5cjqd+t///V8lJyfr6quvVs2aNRUTEyNJ2rJli15++WVdvHhRdevW1YwZM5Sbm6tevXpp6dKlqlevnnr37q3Ro0cX6iszM1OzZ89Wbm6urr76ak2fPl316tVTQkKCrrrqKu3fv18vvviimjVrVh6rAgBCAiPRABAm/vnPf2rKlCn68MMPdfz4cW3dulVffvmlUlJStHLlSi1ZskTffPONJOnUqVN6/vnn9Ze//EWrVq3S7bffrrlz5+qXv/yl/vSnP2natGl69dVX1bp1a3Xq1MnTh9vt1qRJk/T8889r5cqVGjx4sCZPnuz5eZMmTfTxxx8ToAFc8RiJBoAwceONN+oXv/iFJKlRo0b68ccfdejQIXXs2FHVq1eXJHXr1k35+fnauXOn/vOf/2jQoEGSpPz8fM/dynr37q0PP/xQa9eu1XvvvVeoj8OHD+vIkSNKTEz0PHbmzBnP1wWj3ABwpSNEA0CYiIqK8nztcDg8t/m9dLr/yMhIud1u5eXl6eabb9bChQslSS6XS2fPnvV8/c033ygvL0/ffPONGjZs6Gmfn5+vunXravXq1ZKkvLw8nTx50vPzKlWqBPQ1AkC44HQOAAhjt912mzZt2qScnBy5XC6tW7dOktSqVStlZGTo0KFDkqQFCxboueeekyS9+OKLuvXWWzV+/HiNHz9eeXl5nuU1bNhQP/74o9LS0iRJKSkp+tOf/hTkVwUAoY+RaAAIY82aNdNDDz2kPn36qGbNmvrVr34lSfr5z3+uWbNmacSIEcrPz9d1112nOXPmKCMjQx9//LHWrFmj6OhorVy5Um+88YauueYaSZLT6dRLL72kp59+Wi6XS9HR0Xr22WfL8yUCQEjitt8AAACARZzOAQAAAFhEiAYAAAAsIkQDAAAAFhGiAQAAAIsI0QAAAIBFhGgAAADAIkI0AAAAYNH/A9f2of0P0/DvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.cluster.hierarchy import dendrogram\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.title(\"Dendrogram\")\n",
    "plt.xlabel(\"Indexler\")\n",
    "plt.ylabel(\"Uzaklik\")\n",
    "\n",
    "dendrogram(hc_complete,leaf_font_size=10);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "1919a1fa-98b0-4821-a719-e2e30abc41e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "plt.title(\"Dendrogram\")\n",
    "plt.xlabel(\"Indexler\")\n",
    "plt.ylabel(\"Uzaklik\")\n",
    "\n",
    "dendrogram(hc_average,leaf_font_size=10);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "52a67d05-e1d7-4d74-8e14-78780dcc0020",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "plt.title(\"Dendrogram\")\n",
    "plt.xlabel(\"Indexler\")\n",
    "plt.ylabel(\"Uzaklik\")\n",
    "\n",
    "dendrogram(hc_ward,leaf_font_size=10);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f51513c-549a-4af6-8bf4-ef042a5ef1b0",
   "metadata": {},
   "source": [
    "Yorumlarimizi dendrogram uzerinden yapacagimiz icin bazen genelleme yapabilmek adina dendrogrami budamak(truncate) etmek istebiliriz. Bu islem verecegimiz n sayisi kadar olusmus kumeyi ve icindeki elemanlarini dendrogram uzerinde bize gosterecektir. Bu islemi yapabilmek icin\n",
    "* dendrogram fonksiyonu icerisine\n",
    "    * truncate_mode = \"lastp\"\n",
    "    * p = kac kume gostermek istiyorsak\n",
    "    * show_contracted = True parametrelerini vererek islemimizi gerceklestirebiliyoruz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "88dc321d-86ad-4592-8205-7e2e2b937e30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtEAAAGACAYAAABr8z7IAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAA1DUlEQVR4nO3deXxTZb7H8W/aNG3pIgJuwyZbqdBbgTIssrqwiDLKABWKdYFxhOtyQUdFBHQG1EGQqzKiuKEWBRkrCA6KgCJXRcQqRYqAso2toKBAm7RN2ubcP5Boh8UeSM5pwuf9evmyOVme369JyjdPznmOwzAMQwAAAABqLMruAgAAAIBwQ4gGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCSn3QUAwOmisLBQffr0UUpKiiTJ7/crISFB1113nQYMGBCUMd555x298sorysnJCcrjAQCOjRANABaKi4vTm2++GbhcVFSkG264QdHR0erXr5+NlQEAzCBEA4CNGjZsqNtvv13PP/+8Lr74Ys2YMUPr169XVVWV2rRpo4kTJyoxMVGXXHKJBg0apLVr12rPnj266qqrNHbsWEnS448/rqVLl6pu3bpq2rRp4LHHjx+vgwcP6ttvv1Xv3r01evRo/fWvf9WWLVvkcDjUo0cP3XHHHXI6nfrggw80Y8YMRUVF6YILLtDHH3+sV199VZ9++qlef/11lZWVKTExUXPmzNEDDzyg3bt36+DBg0pISNCMGTPUvHlzZWdnq23bttqwYYN++uknZWZmav/+/fr0009VVlamxx57TK1bt7bpNw0AwcU+0QBgs9TUVG3btk3PPPOMoqOj9cYbb2jJkiU6++yzNWPGjMDtSktL9eqrr2rBggV64YUX9O2332rlypV69913tXjxYi1YsEBut7vaY5eXl+tf//qX7rrrLk2dOlV169bV0qVLlZubq61bt+qFF17QgQMHdPfdd2v69Ol688031blzZ33//feBx/jmm2+Uk5OjnJwcrVmzRsnJyXrttde0fPlypaWl6ZVXXgnctqioSAsWLND06dM1ffp0derUSW+88YZ69OihefPmhf6XCQAWYSYaAGzmcDgUFxen1atXq6SkRB9//LEkqaKiQvXr1w/c7tJLL5UknXPOOapfv74OHTqktWvXqk+fPkpMTJQkDR48uNr+0BkZGYGf16xZo/nz58vhcMjlcmnYsGF66aWX1KxZM7Vo0UKpqamSpEGDBmnq1KmB+7Vu3Trw+P3791fjxo2Vk5Oj3bt369NPP1X79u0Dt+3Tp48kqXHjxpKkHj16SJKaNGmiTz/9NEi/MQCwHyEaAGz25ZdfKiUlRW63WxMmTFCvXr0kSR6PR16vN3C72NjYwM8Oh0OGYUhS4P+SFB0dXe2x69SpE/jZ7/fL4XBUu1xZWano6OhqjyFJUVFRx3yMV199VQsXLtSIESM0cOBA1a1bV4WFhYHrXS5XtceJiYmpwW8AAMIPu3MAgI127typ2bNna+TIkerevbteeeUV+Xw++f1+TZo0STNnzjzh/Xv27Kl33nlHxcXF8vv91Q5a/E/du3fXvHnzZBiGfD6fFi5cqIsuukgdOnTQrl27tGXLFknS8uXLVVxcXC1wH/Hhhx9q0KBBGjp0qJo1a6b33ntPVVVVp/ZLAIAwxEw0AFiovLxcV111laTDs72xsbG644471Lt3b3Xp0kXTpk3ToEGDVFVVpQsuuEDjx48/4eP16tVLW7du1eDBg5WcnKzU1FQdOHDgmLedOHGipk6dqoEDB6qiokI9evTQ6NGj5XK5NHPmTN1zzz2KiopSWlqanE6n4uPjj3qMkSNHavLkyXr99dclSe3atdO2bdtO8bcCAOHHYfznd3gAgNOK2+3W7Nmzddtttyk+Pl4FBQW6+eab9X//93/HnI0GADATDQCnvcTERMXExGjIkCFyOp1yOp167LHHCNAAcALMRAMAAAAmcWAhAAAAYBIhGgAAADAp7PaJ9vv98ng8iomJYX89AAAAhIxhGKqoqFBCQkK19fOlMAzRHo+H5ZQAAABgmZSUFCUlJVXbFnYh+sjZr1JSUo46M1aobNq0SWlpaZaMZQf6C1+R3JtEf+GO/sJXJPcm0V+4s7I/n8+nbdu2HfPsq2EXoo/swuFyuaqdAjfUrBzLDvQXviK5N4n+wh39ha9I7k2iv3BndX/H2oWYAwsBAAAAkwjRAAAAgEkh252jqqpKEydO1M6dOxUdHa2HH35YhmFo/PjxcjgcatWqle6//35FRUVp4cKFWrBggZxOp8aMGaOLL744VGUBAAAApyxkIfr999+XJC1YsEDr1q0LhOixY8eqc+fOmjx5slatWqV27dopJydHubm58nq9ysrKUrdu3Sw7aBAAAAAwK2Qh+rLLLlPv3r0lSd99950aNGig1atXq1OnTpKknj176qOPPlJUVJTat28vl8sll8ulJk2aaMuWLUpPTw9VaQAAAMApCenqHE6nU/fcc49WrFihJ554Qu+//37g6MaEhASVlJTI7XZXW3cvISFBbrf7Nx9706ZNIav7WPLy8iwdz2r0F74iuTeJ/sId/YWvSO5Nor9wVxv6C/kSd9OmTdNf/vIXZWZmyuv1BrZ7PB4lJycrMTFRHo+n2vb/XMz6WNLS0ixb3iQvL08ZGRmWjGUH+gtfkdybRH/hjv7CVyT3JtFfuLOyP6/Xe9yJ25CtzrF48WLNmTNHkhQfHy+Hw6G0tDStW7dOkrRmzRp17NhR6enpysvLk9frVUlJibZv366UlJRQlQUAAACcspDNRPft21f33nuvRowYocrKSk2YMEEtWrTQpEmTNHPmTDVv3lz9+vVTdHS0srOzlZWVJcMwNG7cuIhfIBwAAADhLWQhuk6dOnr88ceP2j5v3ryjtmVmZiozMzNUpQAAAABBxclWAAAAAJNCfmAhYKe7l+bp1fVfy/X2brtLCQmfzxexvUn0F+7ozx5DLmyqRwZG7kFlQG3BTDQi2uv5u/VDaYXdZQCAJQoPler1/NoX7IFIxEw0It7ZdWK0Y+If7S4jJFjGKLzRX3irjf01n/qG3SUApw1mogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwiRANAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJEI0AAAAYBIhGgAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwiRANAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAAAAJhGiAQAAAJOcoXjQiooKTZgwQUVFRfL5fBozZozOPfdcjR49Wueff74kafjw4RowYIAWLlyoBQsWyOl0asyYMbr44otDURIAAAAQNCEJ0UuWLFHdunU1ffp0HThwQIMGDdItt9yiG2+8USNHjgzcbt++fcrJyVFubq68Xq+ysrLUrVs3uVyuUJQFAAAABEVIQnT//v3Vr1+/wOXo6Ght2rRJO3fu1KpVq9S0aVNNmDBBGzduVPv27eVyueRyudSkSRNt2bJF6enpoSgLAAAACAqHYRhGqB7c7XZrzJgxyszMlM/nU+vWrZWWlqannnpKxcXFSk1N1bZt23TXXXdJku6++25dffXVuuiii477mF6vV5s2bQpVyYgwV735tSTpzata2VwJAIQef/OA0EhLS1NsbGy1bSGZiZakPXv26JZbblFWVpYGDhyo4uJiJScnS5L69OmjKVOmqGPHjvJ4PIH7eDweJSUl1ejxj9VMqOTl5SkjI8OSsewQyf253t4tn88Xsf1F8nMn0V+4oz/rud7eLUmnXFdt7C2Y6C+8WdnfiSZvQ7I6x/79+zVy5EjdddddGjJkiCRp1KhR2rhxoyRp7dq1atu2rdLT05WXlyev16uSkhJt375dKSkpoSgJAAAACJqQzEQ//fTTKi4u1uzZszV79mxJ0vjx4/XQQw8pJiZGDRo00JQpU5SYmKjs7GxlZWXJMAyNGzfOstllAAAA4GSFJERPnDhREydOPGr7ggULjtqWmZmpzMzMUJQBAAAAhAQnWwEAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJEI0AAAAYBIhGgAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwiRANAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJEI0AAAAYBIhGgAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwiRANAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkZygetKKiQhMmTFBRUZF8Pp/GjBmjli1bavz48XI4HGrVqpXuv/9+RUVFaeHChVqwYIGcTqfGjBmjiy++OBQlAQAAAEETkhC9ZMkS1a1bV9OnT9eBAwc0aNAgpaamauzYsercubMmT56sVatWqV27dsrJyVFubq68Xq+ysrLUrVs3uVyuUJQFAAAABEVIQnT//v3Vr1+/wOXo6GgVFBSoU6dOkqSePXvqo48+UlRUlNq3by+XyyWXy6UmTZpoy5YtSk9PD0VZAAAAQFCEJEQnJCRIktxut26//XaNHTtW06ZNk8PhCFxfUlIit9utpKSkavdzu901GmPTpk3BL/wE8vLyLB3PapHan8/nkxS5/UmR3ZtEf+GO/qwVzL95ta23YKO/8FYb+gtJiJakPXv26JZbblFWVpYGDhyo6dOnB67zeDxKTk5WYmKiPB5Pte2/DtUnkpaWptjY2KDXfSx5eXnKyMiwZCw7RHJ/rrd3y+fzRWx/kfzcSfQX7ujPeq63d0vSKddVG3sLJvoLb1b25/V6jztxG5LVOfbv36+RI0fqrrvu0pAhQyRJbdq00bp16yRJa9asUceOHZWenq68vDx5vV6VlJRo+/btSklJCUVJAAAAQNCEZCb66aefVnFxsWbPnq3Zs2dLku677z5NnTpVM2fOVPPmzdWvXz9FR0crOztbWVlZMgxD48aNs2x2GQAAADhZIQnREydO1MSJE4/aPm/evKO2ZWZmKjMzMxRlAAAAACHByVYAAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJEI0AAAAYBIhGgAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwiRANAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkp90FAABwqr697279tCjX0jH9Pp/yXS5Lx/wtvl5jJUn5bVqc0uPUxt7MqjdosBo/+IjdZSCC1Wgm2uv1HrXtq6++CnoxAACcjJ8W5cpXVGh3Gbb71weP6V8fPGZ3GbbzFRVa/qEKp58azUTfdNNNeuaZZxQXF6fy8nI9/vjjWrp0qT788MNQ1wcAQI24GjbShZu3WzZeXl6eLszIsGw8K4V7b6c6Ew/URI1moi+99FLddNNNWrFiha688koVFxfrrbfeCnVtAAAAQK1Uo5no66+/XsnJyRo3bpz+8Y9/qHfv3iEuCwAAAKi9Thiis7Oz5XA4JEmGYSgxMVFTp07VCy+8IEl6+eWXQ18hAAAAUMucMETfdtttVtUBAAAAhI0T7hOdkJCgTp06yeFwHPM/AAAA4HR0wpno+fPna+rUqXriiSeOus7hcLA7BwAAAE5LJwzRU6dOlSTl5ORYUgwAAAAQDmp8YOGxMBMNAACA0xEHFgIAAAAmnTBEd+rUSZL03nvv6ZJLLgls/+GHHzRlypTA9QAAAMDppEZnLPzf//1frVixQpL0yiuv6Oqrr1ZqampICwMAAABqqxqdsfDFF1/UzTffrNmzZ6tevXqaP3++mjZtGuraAAAAgFrphDPR69ev1/r167Vjxw6NGTNG+/btU8+ePfXDDz9o/fr1VtUIAAAA1ConnIn+z/WhmzVrppUrV2rlypWsEw0AAIDT1glDNOtDAwAAAEer0T7RGzZs0Jw5c1RaWirDMOT3+/Xdd9/pvffeO+H98vPzNWPGDOXk5KigoECjR4/W+eefL0kaPny4BgwYoIULF2rBggVyOp0aM2aMLr744lNuCgAAAAilGoXoCRMmaNSoUVq0aJGys7P17rvvqk2bNie8z7PPPqslS5YoPj5ekrR582bdeOONGjlyZOA2+/btU05OjnJzc+X1epWVlaVu3brJ5XKdQksAAABAaNVoiTuXy6XBgwerU6dOSk5O1iOPPKIPP/zwhPdp0qSJZs2aFbi8adMmrV69WiNGjNCECRPkdru1ceNGtW/fXi6XS0lJSWrSpIm2bNlyah0BAAAAIVajmejY2FgdPHhQzZo1U35+vrp27aqqqqoT3qdfv34qLCwMXE5PT9fQoUOVlpamp556Sk8++aRSU1OVlJQUuE1CQoLcbneNCt+0aVONbhcseXl5lo5ntUjtz+fzSYrc/qTI7k2iv3BnVX9+m97rkfz8hXNvNXk9hHN/NUF/oVejEH3DDTdo3LhxmjVrloYOHaqlS5cqLS3N1EB9+vRRcnJy4OcpU6aoY8eO8ng8gdt4PJ5qofpE0tLSFBsba6qGk5WXl6eMjAxLxrJDJPfnenu3fD5fxPYXyc+dRH/hzsr+8n/eDfBCC3+fkfz8hXtvv/V6CPf+fgv9BY/X6z3uxG2NQvTll1+u/v37y+FwKDc3V7t27apx2D1i1KhRmjRpktLT07V27Vq1bdtW6enpeuyxx+T1euXz+bR9+3alpKSYelwAAADAajUK0R06dNDDDz+sfv36qU6dOmrTpo0GDRqkRYsW1XigBx54QFOmTFFMTIwaNGigKVOmKDExUdnZ2crKypJhGBo3bpxls8sAAADAyapRiD7zzDM1d+5cFRQU6I477pAkGYbxm/dr1KiRFi5cKElq27atFixYcNRtMjMzlZmZaaZmAAAAwFY1Wp0jOTlZL7/8svbu3aubbrpJJSUlioqq0V0BAACAiFOjJGwYhlwulx555BF16dJFmZmZKikpCXVtAAAAQK1UoxDds2fPwM+jRo3ShAkTmIkGAADAaeuE+0SnpqbK4XDIMAw9++yzcjgcSk5O1kUXXaTXXnvNqhoBAACAWuWEIfpYZw/cv3+/Fi5cqL/97W+aOXNmyAoDAAAAaivT+2Q0aNBA//3f/62tW7eGoh4AAACg1jvpHZtjYmKCWQcAAAAQNk4qRL/77ruqW7dukEsBAAAAwsMJ94m+5JJL5HA4qm1zu91q2rSppk+fHtLCAAAAgNrqhCE6Jyen2uWoqCglJycrISEhpEUBAAAAtdkJQ3TDhg2tqgMAAAAIG5wxBQAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwiRANAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJEI0AAAAYBIhGgAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGASIRoAAAAwyWl3Aahu/c5l2rV/o6Vj+nw+7Vi/wtIxreLxniPJ0D/X/93uUkLC6ufu/Abp+n2zAZaNBwBAbRXSmej8/HxlZ2dLknbv3q3hw4crKytL999/v/x+vyRp4cKF+uMf/6jMzEy9//77oSwnLOzav1Gl3mK7y4gY//jD95rZv9DuMiJCqbfY8g94AADUViGbiX722We1ZMkSxcfHS5IefvhhjR07Vp07d9bkyZO1atUqtWvXTjk5OcrNzZXX61VWVpa6desml8sVqrLCQp3YZA39/XjLxsvLy1NGRoZl41ktkvuzsrdInc0HAOBkhGwmukmTJpo1a1bgckFBgTp16iRJ6tmzpz7++GNt3LhR7du3l8vlUlJSkpo0aaItW7aEqiQAAAAgKEI2E92vXz8VFv7yNbphGHI4HJKkhIQElZSUyO12KykpKXCbhIQEud3uGj3+pk2bglvwb8jLy7NkHJ/PZ+l4R1g9ntUiuT9em+GN/oLDz+sz6MK5t5q8HsK5v5qgv9Cz7MDCqKhfJr09Ho+Sk5OVmJgoj8dTbfuvQ/WJpKWlKTY2Nuh1HouVX5kfOUjMyt0PInl3Bymy++O1Gd7oL3jyf94N8EJen0ER7r391ush3Pv7LfQXPF6v97gTt5YtcdemTRutW7dOkrRmzRp17NhR6enpysvLk9frVUlJibZv366UlBSrSgIAAABOimUz0ffcc48mTZqkmTNnqnnz5urXr5+io6OVnZ2trKwsGYahcePGWTa7DAAAAJyskIboRo0aaeHChZKkZs2aad68eUfdJjMzU5mZmaEsAwAAAAgqzlgIAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgkmUnWwEAALXft/fdLf9r8wOnzg5HvqJCSVJ+mxbHvN7v84VFf/UGDVbjBx+xuwwcBzPRAAAg4KdFudK+H+wu45S4GjaSq2Eju8s4Jb6iwsPPBWotZqIBAEB1Z52tCzdvt7uKkMnLy9OFGRl2l3FCx5tFR+3BTDQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJEI0AAAAYBIhGgAAADCJEA0AAACYRIgGAAAATCJEAwAAACYRogEAAACTCNEAAACASYRoAAAAwCRCNAAAAGCS0+4CAACR59v77pb/tfnKd7ksGc9XVChJym/TwpLxJMl/UXfpuZcsGw9A7UKIBgAE3U+LcqV9P0gNG1kynsuicY7wFRVKq9+zdEwAtQshGgAQGmedrQs3b7e7ipDIb9NCPp/P7jIA2Ih9ogEAAACTmIkGgmT9zmXatX+jpWP6fD7tWL/CkrFKvYckSf9c/3dLxpOs7U+Szm+Qrt83G2DZeACA8MVMNBAku/ZvVKm32O4yQqZO7BmqE3uG3WWETKm32PIPQQCA8MVMNBBEdWKTNfT34y0bLy8vTxkZGZaNZzUr+7Nyhh0AEP6YiQYAAABMIkQDAAAAJhGiAQAAAJMI0QAAAIBJhGgAAADAJFbnAAAAp41v77tb/tfmK9/lsruUE/IVFUo6fHZMs/w+n6X91Rs0WI0ffMSy8WoLZqIBAMBp46dFudK+H+wu4ze5GjaSq2Eju8v4Tb6iwsO/09MQM9EAAOD0ctbZunDzdrurCJm8vDxdaNEa+yczUx4pmIkGAAAATGImGkCttH7nMm0r/0w71q+wZLxS7yFJ1p65ML7qbEmRe8ZJAIhkhGgAtdKu/RtVYZTJJWsOjqkTe4Yl4xxR6i2Wz+GzdEwAQPBYHqKvvvpqJSUlSZIaNWqk0aNHa/z48XI4HGrVqpXuv/9+RUWxlwkAKcYRr6G/H293GSHxz/V/l89HiAaAcGVpiPZ6vZKknJycwLbRo0dr7Nix6ty5syZPnqxVq1apT58+VpYFAAAAmGLplO+WLVtUVlamkSNH6rrrrtOGDRtUUFCgTp06SZJ69uypjz/+2MqSAAAAANMsnYmOi4vTqFGjNHToUO3atUs33XSTDMOQw+GQJCUkJKikpKRGj7Vp06ZQlnqUvLw8S8Y58vWuVeMdYfV4VtlTka9DVYXa8tG/Qj5WhVEmSXrlo7+FfKwjzohupAh96mx7L1gl0vvz01/YiuTepMjv7wir+rPr91kbnj9LQ3SzZs3UtGlTORwONWvWTHXr1lVBQUHgeo/Ho+Tk5Bo9VlpammJjY0NVajV5eXnKsGi9xSMrEVg1nmRtf1b75/oVqqgsU4IFB41ZdQDcEaXeYh2qKtSVXUZaOq5VdqxfIZ/PF7GvzUjvL9/lor8wFcm9SZHfn2Ttv+tHzoxo1brUkrX9eb3e407cWhqiX3/9dW3btk0PPPCAvv/+e7ndbnXr1k3r1q1T586dtWbNGnXp0sXKknAaiNSD0zgwDQAA+1gaoocMGaJ7771Xw4cPl8Ph0EMPPaQzzzxTkyZN0syZM9W8eXP169fPypIAAAAA0ywN0S6XS48++uhR2+fNm2dlGQAAAMApYUFmAAAAwCRCNAAAAGASIRoAAAAwyfLTfgMAACA0vr3vbvlfmx9Yei7UfEWFkqT8Ni0sGU+S/Bd1l557ybLxjocQDQAAECF+WpQr7ftBatjIkvFcFo1zhK+oUFr9nqVjHg8hGgAAIJKcdbYu3Lzd7ipCIr9Ni1pzjgRC9G9Yv3OZtpV/FjiTYKiVeg9JOnwiDavEV50tKXLP3AQAABBshOjfsGv/RlUYZZad0rmOBaen/rVSb7F8jtrxiQ4AACBcEKJrIFJPGy1x6mgAAICTwRJ3AAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMIkQDQAAAJhEiAYAAABMIkQDAFBDRUVFWrJkiTwej8rLyvTNN9/YXRIAmxCiAQCogeLiYs2fP1+bN29WZWWlKquq9Prrr6uwsNDu0gDYgBANAEANxMbGKikpqdq2+Ph4JSYm2lQRADsRogEAqIHY2FiNHDlSAwcOVFxcnGJjY/XnP/9ZdevWtbs0ADYgRAMAgqqwsFBer1cVFRUqLy+3u5ygiomJUdu2bRUbG6uYmBjFx8fbXRIAmxCiAQBB88QTT+jWW2/VoYMHVVJSoptuuklfffWV3WUBQNARogEAQbNmzRpVVlYGLh84cECrV6+2ryAACBFCNABYrLCwUD6vTxW+Cn333Xd2lxNUt912m373u9/JERUlh8Ohzp07a/jw4XaXFTRfffWVXnrpJZUUF6u0tFSfffaZ3SUBsAkhGghTfr9f/iq/3G633aXAhA8++EDz5s1TeXmZvD6vXn75Za1du9busoKmV69emjNnjho0aKC6detq0qRJEXPg3YEDB7RkyRLt2bNHfsOQ3+/XypUrtWPHDrtLA2ADQjQQZsrKypSTkyN3SYlKy0r15JNP6p133rG7LNTQ/v37j9r2448/2lBJ6DgcjsB/kSQpKUmNGjWqtq1evXo655xzbKoIgJ0I0UCY2bFjh4qKigKXDcPQhg0bVFxcbGNVqKkrrrhC3bp1U7TTKWd0tHr06KG+ffvaXRZqwOl0asSIEcrOzladOnUUHx+vP/3pT0pISLC7tKAwDEPr16+X2+1WqcejV199NeJm2T0ejyoqKlRRUaG9e/faXQ7CHCEaCDOpqanq0KGD9PMsX2Jiovr27avk5GSbK0NNxMXFqUePHkpISFBcfLy6desml8tld1kwoWHDhoqJiVF0dLSioiLnn9GtW7dq1apVqqqsVJXfr507dyo3NzdidhnbuXOnnn76aZWWlsrr9erFF1/Uu+++a3dZCGOR8+4HThPR0dGB0JyYkKhbb731cKgGgFNQr1497dy5M7DG97p16+R2uyNmLex///vfqqioqLYt0mbaYS2n3QUAOAWRtcspABv98MMPatq0qWJcLlVVVSktLU3x8fHyeDwR8U3XRRddJIfDoejZ0TIMQ6mpqerWrZvdZSGMEaIRscrKyuSv8sswDLtLARAhDMNQYWGhKioqVFVZKb/fHzG7dLRu3Vpt27ZVVFSU/H6/6tevr65du0ZEgJYOn22yZ8+eyk9MlM/nU6+rr7a7JIS5yHjnA79iGIbeeecdzZo1S253iTwej3Jzc4/6Gg9AaFRUVBxegtHvt7uUoKqsrNS8efP0yiuvqLS0VGXl5Xr22WcjZp9hwzBUVVUVuOz3+6tdBlAdIRoR58cff9SGDRuq/QP+9ddfa+fOnTZWBTO+//57eb1e+Xw+bdmyJeLCWCT77LPP9I9//EMlJSUqLS3Viy++qEOHDtldVlCUlJQcdXKcAwcO6IcffrCpouDatm2btm3bJunwMoVVVVX66KOPWPkHOA5CNCJOgwYN1L17d8XGxkqSHHKoXbt2atmypc2VoSYKCgr04osvylteLp/Pp8WLF+uNN96wu6ygKS4u1tKlS+Uucau0tFTLli1TSUmJ3WUFzQcffKCysjIZhiHDMLR3717l5+fbXVZQnHnmmbr66qvVqFEjRUVFKSoqSn379lXz5s3tLi0oWrZsKcMw5PP5VOHz6csvv1SjRo0iZncOINgI0YhI3bt319ixY5WUnKyEhAT1798/YvZbjHQlJSVH7cceSTNhy5YtU0FBgfz+Kvn9fm3cuFErVqywu6ygady4sTZs2CDfzys8FBYWRtQH2PLycpWWlgY+JBz5wBAJduzYIYfDIVdMjJwxMWrbtq2Kiooi6v0HBBOpAhErcMY0VrAIK507d9aAAQPkjImRM9qprl27KjMz0+6ygqZVq1bVPtBFR0erVatWNlYUXN9++63at2+v2NhYuVwuNWrUSN98843dZQXFjz/+qJdeekmrVq1S+c/flMyfP1/bt2+3u7SgaNy4serXry/9/LczKipKLVu2VFJSkt2lBY3P51NlZaUqKysjZjcj2IcQDaBWcTgcSk9PV506dRQXH6devXopMTHR7rKCJiMjQ6NHj1Z8nTqKi4vTzTffrP/6r/+yu6ygufzyyw+Hrp9PBtSiRYuIWcfcMAzt379fHo9H+nkmev/+/SovL7e7tKBISkrSn/70JyUmJCguLk6jRo3S4MGDI+b07YWFhXrqqafk8XhUXl6up59+WmvWrLG7LIQxQjQAWCw5OVkxMTFyOp0Rt79pmzZtdOuttyr5512phg4dGjEfgs4880xdccUVysjIUIzLpZiYmIjaJ1o6/CE22umU0+nUWWedZXc5QfX111+rrKwscNkwDH355Zc2VoRwxzrRAICgC+xOFUGio6N1zTXX6Pvvv1fh/BdVUVGhG2+8MaL69Pv9gd0dvv/+e51zzjl2lxQ0Xbt2lc/nC6yDff7556tHjx52lxU0JSUl+vDDD5XsdquyslLvvvuuunXrpoSEBLtLi1jMRAMAUEMlJSXavn174GQrP/30k90lBU1xcbGee+65wO4Oc+fOVW5ubsQsMRkXF6d+/fopKSlJCQkJGjZsmBo2bGh3WUHz9ttvKz8/X1VVhw9a/vzzzyPqoOXaiBANABbbt2+fKnwVqqio0I8//mh3Oaghj8ejuXPnas2aNfL5fPJVVOiFF16ImHWiCwsLtXnz5sNL3FVUaPPmzcrLyzu8DzhqvaZNm1b7ViQqKkpNmza1saLIR4gGAAutXbtWzz//vMrKSuX1evXcc8/ps88+s7ss1IBhGEfNyh5rW7iKior65cyuP68XXVVVFVG7q0Syzp0766abbjp8UHZsrP785z+rffv2dpcV0QjRAGChwsLCapcNw1BRUZFN1cCMxMRE3XjjjeratatcPx9YeMMNN+jcc8+1u7SgOOecc9S6devDvblcateundLS0hQfH293aaihevXqHT5oOSZGdevWtbuciEeIBgALDRgwQBkZGYqOjlZ0VLR+//vfq2/fvnaXhRo644wz1KtXL8XHxys2NlZnn3223SUFTXJyspxOp7xer3w/n7Gwfv36io6Otrs0oFYiRAOAhRISEtSnTx8lJCYqvk68Lr30Umb6UCu88847WrZsmfTzGRgPHTqkp59+Wnv27LG5suCpqqoK/FdaWmp3OQhzhGgAAKAOHTocPmPhr7Ru3Tpi1oveu3ev5syZI7fbrbKyMs2ePVuffPKJ3WUhjNWKdaL9fr8eeOABbd26VS6XS1OnTuWIUgAALHTeeefpueee0xepq+Tz+fTII4+oTZs2dpcVNAUFBSouLg5crqys1Pr169WlSxcbq0I4qxUheuXKlfL5fHrttde0YcMG/f3vf9dTTz1ld1kAAJxWYmJiFBsbK4fDEVEBWpK6dOkit9sdWG3k3HPP1cUXX2xzVQhntSJE5+XlBc4a1K5dO23atOm4tzV+3lfL5/NZUptTcTIc0fJ6vZaMZzX6C1+R3JtEf+HOaHCWVFFBf2EoUntzOp3q37+/vmreQhUVFRo+fLgkRVyfkfr8HWF1f0fy5pH8+WsO41hbLXbfffepb9++6tWrlySpd+/eWrlypZzOozN+SUmJtm3bZnWJAAAAOE2lpKQoKSmp2rZaMROdmJhY7YxIfr//mAFaOnxke0pKimJiYlgAHgAAACFjGIYqKiqUkJBw1HW1IkR36NBB77//vgYMGKANGzYoJSXluLeNioo66pMAAAAAEApxcXHH3F4rduc4sjrHtm3bZBiGHnroIbVo0cLusgAAAIBjqhUhGgAAAAgnnGwFAAAAMIkQDQAAAJhEiD6BiooK3XnnnRo2bJiysrK0fft2u0s6ZVVVVbr33ns1bNgwjRgxQv/+97/11VdfKSsrS9nZ2Ro1apT2799vd5kn7cCBA5o8ebKWL1+uwYMHa8iQIfrnP/8pSdq3b5/+9re/2VzhqaG/8O3vSG9z587VFVdcoezsbGVnZ2vHjh1h35v0S38bN25UVlaWhg8frttvv11erzei+luyZIkGDRqkwYMH69VXX5UUvq/NIz1JUllZmYYNGxb4d87v92vy5Mm65pprlJ2drd27d0uS5s+fr7Vr19pW88mK5PdfJP/dlH7p76233tLQoUM1bNgwTZ48WX6/3/7+DBzXihUrjNtvv90wDMP48MMPjVtvvdXmik7dihUrjPHjxxuGYRiffPKJMXr0aGPEiBHG5s2bDcMwjPnz5xsPPfSQnSWeksmTJxtfffWV0adPH6O4uNiorKw0+vbta/z444+GYRjGjBkzjHXr1tlc5cmjv/Dt70hvd955p/Hll18edX0492YYv/T3hz/8wdi1a5dhGIaxcOFCY/v27YZhRE5/3bp1Mw4cOGB4vV7jsssuMw4ePGgYRnj2d6SnjRs3GoMGDTIuuugi45tvvjEMwzCWL19u3HPPPYZhGMYXX3xhjB492jAMw6ioqDCuvfZao7Ky0ra6T0Ykv/8i+e+mYfzS36WXXmqUlpYahmEY48aNM1auXGkYhr39MRN9As2aNVNVVZX8fr/cbvdx164OJ5dddpmmTJkiSfruu+/UoEEDzZw5UxdccIGkwzPVsbGxdpZ40txut7788kulpqZq2bJlSkpK0sGDByUpsL7jlVdeqZdfftnGKk8e/YVvf7/uraCgQM8884yGDx+uOXPmBG4Trr1Jv/TncrlUt25dvfTSS7r22mt18OBBNW/eXFJk9JeamqrWrVurpKREPp9PhmEEzlcQbv39uiefz6cnn3wy8FxJxz+TsNPpVNu2bbV69Wo7yj4pkfz+i+S/m9Iv/aWkpGjBggWKj4+XJFVWVgayip39EaJPoE6dOioqKtLll1+uSZMmKTs72+6SgsLpdOqee+7RlClT1K9fP5199tmSpM8//1zz5s3TDTfcYG+BJ2nDhg1q1qyZpMM9vvvuu7rqqqvUsWPHwAegli1b6vPPP7ezzJNGf+Hb3697u+KKK/TAAw/opZdeUl5ent5//31J4dub9Et/Bw4c0BdffKGsrCzNnTtXn3zySeCr/0joT5JatWqlwYMH64orrlDv3r2VnJwsKfz6+3VPGRkZOu+886pd73a7lZiYGLgcHR2tyspKSVLr1q316aefWlfsKYrk918k/92UfukvKipKDRo0kCTl5OSotLRU3bp1k2Rvf4ToE3jxxRfVvXt3LV++XG+++abGjx8fMeeinzZtmpYvX65JkyaptLRUy5Yt0/33369nnnlG9erVs7u8k3LgwIHAm0yS+vbtqzVr1qiiokKLFy+WdPgfgujoaPn9fpuqPHn0F779HenNMAxdf/31qlevnlwul3r16qXNmzdLCt/epF/6q1u3rpo2baqWLVsqJiZGPXr0CMxgRkJ/W7Zs0erVq7Vq1Sq99957+umnn/T2229LCr/+/vP99p9OdCbhs846KzDbGQ4i+f0XyX83per9+f1+TZs2TR999JFmzZoV+BbIzv4I0SeQnJwcODviGWecocrKSlVVVdlc1alZvHhx4Cus+Ph4ORwOrVixQvPmzVNOTo4aN25sc4Unr379+iouLpbb7da1114rn8+nqKgoxcfHKyrq8EvdMAw5nc7A5XBCf+Hb3697u/LKK+XxeGQYhtatW6e0tDRJ4dub9Et/jRs3lsfjCRyE9tlnn6lVq1aSIqO/pKQkxcXFKTY2VtHR0apXr56Ki4slhV9/R3o6ng4dOmjNmjWSdNSZhIuLi8NqsiWS33+R/HdTqv46nTx5srxer2bPnh3YrUOyt7/w+41a6IYbblBBQYGysrJ0/fXXa9y4capTp47dZZ2Svn37avPmzRoxYoRGjRqlCRMm6MEHH5TH49Ftt92m7OxsPfHEE3aXeVIuvPBCbd26VYmJiRo4cKBGjBih4cOHy+Fw6A9/+IMkaevWrWrXrp29hZ4k+gvf/o70lpSUpHHjxum6665TVlaWWrZsqV69ekkK396kX/pzuVx68MEHdeedd2rw4ME699xz1bt3b0mR0V/Dhg11zTXXBFYfKSkp0aBBgySFX39HejqePn36yOVyadiwYXr44Yd17733Bq7Lz89X165drSgzKCL5/RfJfzelX/orKCjQ66+/rm3btun6669Xdna2VqxYIcnm/uw4mhEIlUmTJhkFBQXHvX7atGnG+vXrLawouOgvfPuL5N4Mg/7Csb/f6ulYwnV1jkh8/o6I5N4Mo3b3x0w0Isr//M//BNZu/U/79u2T2+1Wx44dLa4qeOgvfPuL5N4k+gvH/k7U0/G89tpruvnmmxUdHR2iqkIjEp+/IyK5N6l29+cwDMOwZWQAAAAgTDETDQAAAJhEiAYAAABMIkQDAAAAJhGiAaAWa926tanbz5o1S7NmzTI9zhtvvKHx48ebvh8AnK4I0QAAAIBJTrsLAAD8tnXr1mnOnDmKi4vT9u3b1bp1a82YMUMul0vPPfecFi5cqDPPPFPJyclKT0+XJK1Zs0ZPPPGEKisr1ahRI02ZMkXl5eX64x//qHnz5qlx48YaPHiw7rzzzmpjbdy4UQ8//LDKy8t15pln6q9//asaN26s7OxsnXHGGfr666/12GOP6YILLrDjVwEAtQIz0QAQJr744gtNnjxZb7/9tr777jt9+OGH+vLLL5Wbm6tFixZp7ty52rt3ryTpp59+0qOPPqrnn39eixcvVvfu3TVjxgydd955+stf/qIHHnhATz75pNq3bx84q6Ak+Xw+TZw4UY8++qgWLVqkG2+8UZMmTQpc37p1ay1fvpwADeC0x0w0AISJVq1a6dxzz5UktWjRQocOHdLOnTvVq1cvJSQkSJL69+8vv9+v/Px87dmzR9ddd50kye/364wzzpAkDR48WG+//baWLl2qt956q9oYu3bt0rfffqsxY8YEtrnd7sDPR2a5AeB0R4gGgDARGxsb+NnhcMgwjMD/j3A6nfL5fKqqqlKHDh309NNPS5K8Xq88Hk/g571796qqqkp79+5V8+bNA/f3+/1q1KiR3nzzTUlSVVWV9u/fH7g+Li4upD0CQLhgdw4ACGNdu3bV+++/r5KSEnm9Xq1YsUKSdOGFF2rDhg3auXOnJGn27Nl65JFHJEmPPfaYunTponvvvVf33nuvqqqqAo/XvHlzHTp0SJ999pkkKTc3V3/5y18s7goAaj9mogEgjF1wwQW6/vrrNWTIECUnJ+t3v/udJOmss87SQw89pLFjx8rv9+ucc87R9OnTtWHDBi1fvlxLlixRYmKiFi1apBdeeEH169eXJLlcLj3++ON68MEH5fV6lZiYqGnTptnZIgDUSg7j198DAgAAAPhN7M4BAAAAmESIBgAAAEwiRAMAAAAmEaIBAAAAkwjRAAAAgEmEaAAAAMAkQjQAAABgEiEaAAAAMOn/AX+GqlvtJRayAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "plt.title(\"Dendrogram\")\n",
    "plt.xlabel(\"Indexler\")\n",
    "plt.ylabel(\"Uzaklik\")\n",
    "\n",
    "dendrogram(hc_complete,\n",
    "           leaf_font_size=10,\n",
    "          truncate_mode=\"lastp\",\n",
    "          p=12,\n",
    "          show_contracted=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3bf1cdf-7917-4662-9459-fd1df17cd1bb",
   "metadata": {},
   "source": [
    "#### HC - Model Tuning"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1ac4c46-af38-4733-b8dd-4c7bb95886fb",
   "metadata": {},
   "source": [
    "Burada optimum kume sayisini dendrogram uzerinden *is bilgimize dayanarak* kendimiz ifade edecegiz. Bu islemi yukaridaki grafikten yorumlarsak, 100 uzakligindan bolumleme gerceklestirdigimizde 5 adet kume sayisi bu  veriseti icin uygun gorunuyor.\n",
    "* Bu islemi **sklearn.cluster** altindan **AgglomerativeClustering** fonksiyonunu projemize dahil ederek gerceklestiriyoruz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5338e7a9-03c5-432b-a1b7-16d1a734eede",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "cluster = AgglomerativeClustering(n_clusters=5,\n",
    "                                 affinity=\"euclidean\",\n",
    "                                 linkage=\"ward\").fit_predict(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "cbd1c394-3f0f-482a-aa3b-de655e4890e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Murder</th>\n",
       "      <th>Assault</th>\n",
       "      <th>UrbanPop</th>\n",
       "      <th>Rape</th>\n",
       "      <th>tune_kume</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Alabama</th>\n",
       "      <td>13.2</td>\n",
       "      <td>236</td>\n",
       "      <td>58</td>\n",
       "      <td>21.2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alaska</th>\n",
       "      <td>10.0</td>\n",
       "      <td>263</td>\n",
       "      <td>48</td>\n",
       "      <td>44.5</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>8.1</td>\n",
       "      <td>294</td>\n",
       "      <td>80</td>\n",
       "      <td>31.0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arkansas</th>\n",
       "      <td>8.8</td>\n",
       "      <td>190</td>\n",
       "      <td>50</td>\n",
       "      <td>19.5</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>California</th>\n",
       "      <td>9.0</td>\n",
       "      <td>276</td>\n",
       "      <td>91</td>\n",
       "      <td>40.6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Murder  Assault  UrbanPop  Rape  tune_kume\n",
       "Alabama       13.2      236        58  21.2          1\n",
       "Alaska        10.0      263        48  44.5          1\n",
       "Arizona        8.1      294        80  31.0          2\n",
       "Arkansas       8.8      190        50  19.5          0\n",
       "California     9.0      276        91  40.6          2"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"tune_kume\"] = cluster\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e619cab-3ffe-4b3c-917d-8998df5716e8",
   "metadata": {},
   "source": [
    "## **c. Principal Component Analysis(PCA) - Temel Bileşen Analizi**"
   ]
  },
  {
   "attachments": {
    "e187d09b-a3ec-4fc2-81b5-2d5686ef0a28.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "c1930eb3-3320-450b-9425-9b6b309c55d1",
   "metadata": {},
   "source": [
    "Tanima,siniflandirma ve goruntu isleme gibi alanlarda boyut indirgeme adina kullanilir. Temel amac yuksek boyutlu verilerde en yuksek varyans ile verisetinin boyutunu indirgemektir. Boyut azalmasiyla kucuk bir miktarda bilgi kaybi kesinlikle yasanacaktir fakat biz bu hatanin minimum durumda olmasini istiyoruz, bunun icin de kaybolan bilginin veriseti hakkinda en az bilgiyi iceren verileri secmemiz gerekmektedir. Yuksek korelasyonlu degiskenleri bir araya getirerek verideki en cok varyansi olusturan daha az sayida yapay degiskenler olusturulur. \n",
    "* Temel fikir, cok degiskenli verinin ana ozelliklerini daha az sayida degisken/bilesen ile temsil etmektir. Diger bir ifade ile kucuk miktarda bir bilgi kaybini goze alip degisken boyutunu azaltmaktir.\n",
    "* Buradaki bilgi kaybi veriseti icerisindeki toplam degiskenliktir.\n",
    "* Olusan bilesenler arasinda bir korelasyon bulunmamaktadir.\n",
    "* Degisken gruplarinin varyanslari ifade eden ozdegerler ile verisetindeki degiskenler gruplandirilir. Gruplar arasindaki en fazla varyansa sahip gruplar, en onemli gruplardir ki bunlar da asal bilesenlerdir.\n",
    "* ![image.png](attachment:e187d09b-a3ec-4fc2-81b5-2d5686ef0a28.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9cf0a57e-e1c4-4415-b33e-e8ee368f5095",
   "metadata": {},
   "source": [
    "### PCA - Model Oluşturma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d37791ef-e47f-438d-9f0b-b162b0269aaf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>Murder</th>\n",
       "      <th>Assault</th>\n",
       "      <th>UrbanPop</th>\n",
       "      <th>Rape</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Alabama</td>\n",
       "      <td>13.2</td>\n",
       "      <td>236</td>\n",
       "      <td>58</td>\n",
       "      <td>21.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Alaska</td>\n",
       "      <td>10.0</td>\n",
       "      <td>263</td>\n",
       "      <td>48</td>\n",
       "      <td>44.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Arizona</td>\n",
       "      <td>8.1</td>\n",
       "      <td>294</td>\n",
       "      <td>80</td>\n",
       "      <td>31.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Arkansas</td>\n",
       "      <td>8.8</td>\n",
       "      <td>190</td>\n",
       "      <td>50</td>\n",
       "      <td>19.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>California</td>\n",
       "      <td>9.0</td>\n",
       "      <td>276</td>\n",
       "      <td>91</td>\n",
       "      <td>40.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0  Murder  Assault  UrbanPop  Rape\n",
       "0     Alabama    13.2      236        58  21.2\n",
       "1      Alaska    10.0      263        48  44.5\n",
       "2     Arizona     8.1      294        80  31.0\n",
       "3    Arkansas     8.8      190        50  19.5\n",
       "4  California     9.0      276        91  40.6"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df = pd.read_csv(\"csv/USArrests.csv\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "156e7a48-0e46-464b-b8ba-18a4aeac6ce6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>Murder</th>\n",
       "      <th>Assault</th>\n",
       "      <th>UrbanPop</th>\n",
       "      <th>Rape</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Alabama</th>\n",
       "      <td>Alabama</td>\n",
       "      <td>13.2</td>\n",
       "      <td>236</td>\n",
       "      <td>58</td>\n",
       "      <td>21.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alaska</th>\n",
       "      <td>Alaska</td>\n",
       "      <td>10.0</td>\n",
       "      <td>263</td>\n",
       "      <td>48</td>\n",
       "      <td>44.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>Arizona</td>\n",
       "      <td>8.1</td>\n",
       "      <td>294</td>\n",
       "      <td>80</td>\n",
       "      <td>31.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arkansas</th>\n",
       "      <td>Arkansas</td>\n",
       "      <td>8.8</td>\n",
       "      <td>190</td>\n",
       "      <td>50</td>\n",
       "      <td>19.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>California</th>\n",
       "      <td>California</td>\n",
       "      <td>9.0</td>\n",
       "      <td>276</td>\n",
       "      <td>91</td>\n",
       "      <td>40.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Unnamed: 0  Murder  Assault  UrbanPop  Rape\n",
       "Unnamed: 0                                             \n",
       "Alabama        Alabama    13.2      236        58  21.2\n",
       "Alaska          Alaska    10.0      263        48  44.5\n",
       "Arizona        Arizona     8.1      294        80  31.0\n",
       "Arkansas      Arkansas     8.8      190        50  19.5\n",
       "California  California     9.0      276        91  40.6"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.index = df.iloc[:,0]\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "cbd868fd-3341-4767-a885-ed9779f17eac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Murder</th>\n",
       "      <th>Assault</th>\n",
       "      <th>UrbanPop</th>\n",
       "      <th>Rape</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Alabama</th>\n",
       "      <td>13.2</td>\n",
       "      <td>236</td>\n",
       "      <td>58</td>\n",
       "      <td>21.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alaska</th>\n",
       "      <td>10.0</td>\n",
       "      <td>263</td>\n",
       "      <td>48</td>\n",
       "      <td>44.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>8.1</td>\n",
       "      <td>294</td>\n",
       "      <td>80</td>\n",
       "      <td>31.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arkansas</th>\n",
       "      <td>8.8</td>\n",
       "      <td>190</td>\n",
       "      <td>50</td>\n",
       "      <td>19.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>California</th>\n",
       "      <td>9.0</td>\n",
       "      <td>276</td>\n",
       "      <td>91</td>\n",
       "      <td>40.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Murder  Assault  UrbanPop  Rape\n",
       "Alabama       13.2      236        58  21.2\n",
       "Alaska        10.0      263        48  44.5\n",
       "Arizona        8.1      294        80  31.0\n",
       "Arkansas       8.8      190        50  19.5\n",
       "California     9.0      276        91  40.6"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.iloc[:,1:]\n",
    "df.index.name = None\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae3256e2-1c52-4cf0-890a-84ad6448d3df",
   "metadata": {},
   "source": [
    "* PCA'i kullanabilmek icin degiskenleri standartlastirma islemi yapmamiz gerekiyor.\n",
    "* Fonksiyonu kullanmak icin **sklearn.decomposition** altindan **PCA** fonksiyonunu projemize dahil etmemiz gerekiyor.\n",
    "    * Burada parametre olarak **n_components** ozelligine, veri setimizi kac degiskenle ifade etmek istedigimizi belirtiyoruz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "53b5b6dc-451b-419e-848f-29b82f5f55ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "df = StandardScaler().fit_transform(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d60e7e59-11a6-4789-a102-991bfe004646",
   "metadata": {},
   "source": [
    "Burada hiperparametre olarak dusunebilecek deger n_components degeridir. Suan is bilgimize dayanarak 2 olarak verdigimizi dusunursek bizim 2 degiskene dusurerek olusturdugumuz asal degiskenler, verilerin toplam varyansinin %86.75'ini koruyabilecegimizi gosteriyor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5c3d1d9b-1215-462a-ac8b-0371d3af14f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "varyans :\t [0.62006039 0.24744129]\n",
      "toplam varyans :\t 0.8675016829223338\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "pca_fit = pca.fit_transform(df)\n",
    "\n",
    "print(\"varyans :\\t\",pca.explained_variance_ratio_)\n",
    "print(\"toplam varyans :\\t\",sum(pca.explained_variance_ratio_))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb0f5ebf-6446-4395-b551-c60511ff290a",
   "metadata": {},
   "source": [
    "Peki bu parametrenin farkli degerlerde gormek istersek ne yapariz? Bunun cevabi da asagida ehehe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "961b5efa-85b3-43d8-95fe-c3aceb950e8a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca = PCA().fit(df)\n",
    "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
    "plt.xlabel(\"Degisken Sayisi\")\n",
    "plt.ylabel(\"Varyansin Temsil Degeri\")\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "a3149bcf-8a5f-4f23-9a42-d5bfc9b1bc51",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.62006</td>\n",
       "      <td>0.247441</td>\n",
       "      <td>0.089141</td>\n",
       "      <td>0.043358</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       PC1       PC2       PC3       PC4\n",
       "0  0.62006  0.247441  0.089141  0.043358"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_pc = pd.DataFrame(pca.explained_variance_ratio_.reshape(1,4))\n",
    "df_pc.columns = [\"PC1\",\"PC2\",\"PC3\",\"PC4\"]\n",
    "df_pc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "113ec71a-ed9b-44b6-a592-3fe625e0eb90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_pc.plot.barh();"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.10 64-bit ('base': conda)",
   "language": "python",
   "name": "python3810jvsc74a57bd0c9148a67617f57a473e546d1e46f8ce16440a180449b694f640c5bfb189a3712"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}