{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Algorithm **Fuzzy c-means (FCM)** is a method of clustering which allows one piece of data to belong to two or more clusters. This method (developed by Dunn in 1973 and improved by Bezdek in 1981) is frequently used in pattern recognition. You can find the documentation here [https://home.deib.polimi.it/matteucc/Clustering/tutorial_html/cmeans.html](http://)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Any feedback on this kernel will be highly appreciated!**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Loading modules and training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import random\n",
    "import operator\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "# # 将网格线置于曲线之下\n",
    "# plt.rcParams['axes.axisbelow'] = False\n",
    "plt.style.use('fivethirtyeight') # 'ggplot'\n",
    "\n",
    "from scipy.stats import multivariate_normal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "from copy import deepcopy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['data', 'target', 'frame', 'target_names', 'DESCR', 'feature_names', 'filename'])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 返回字典\n",
    "data = load_iris()\n",
    "data.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 4)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# iris数据集的特征列\n",
    "features = data['data']\n",
    "features.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# iris数据集的标签\n",
    "target = data['target']\n",
    "target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150,)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 1)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 增加维度1，用于拼接\n",
    "target = target[:, np.newaxis]\n",
    "target.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['setosa', 'versicolor', 'virginica'], dtype='<U10')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target_names = data['target_names']\n",
    "target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 'setosa', 1: 'versicolor', 2: 'virginica'}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target_dicts = dict(zip(np.unique(target), target_names))\n",
    "target_dicts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)']"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_names = data['feature_names']\n",
    "feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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       "       [4.9, 2.4, 3.3, 1. , 1. ],\n",
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       "       [5.2, 2.7, 3.9, 1.4, 1. ],\n",
       "       [5. , 2. , 3.5, 1. , 1. ],\n",
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       "       [6. , 2.2, 4. , 1. , 1. ],\n",
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       "       [6.6, 3. , 4.4, 1.4, 1. ],\n",
       "       [6.8, 2.8, 4.8, 1.4, 1. ],\n",
       "       [6.7, 3. , 5. , 1.7, 1. ],\n",
       "       [6. , 2.9, 4.5, 1.5, 1. ],\n",
       "       [5.7, 2.6, 3.5, 1. , 1. ],\n",
       "       [5.5, 2.4, 3.8, 1.1, 1. ],\n",
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       "       [5.7, 3. , 4.2, 1.2, 1. ],\n",
       "       [5.7, 2.9, 4.2, 1.3, 1. ],\n",
       "       [6.2, 2.9, 4.3, 1.3, 1. ],\n",
       "       [5.1, 2.5, 3. , 1.1, 1. ],\n",
       "       [5.7, 2.8, 4.1, 1.3, 1. ],\n",
       "       [6.3, 3.3, 6. , 2.5, 2. ],\n",
       "       [5.8, 2.7, 5.1, 1.9, 2. ],\n",
       "       [7.1, 3. , 5.9, 2.1, 2. ],\n",
       "       [6.3, 2.9, 5.6, 1.8, 2. ],\n",
       "       [6.5, 3. , 5.8, 2.2, 2. ],\n",
       "       [7.6, 3. , 6.6, 2.1, 2. ],\n",
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       "       [7.3, 2.9, 6.3, 1.8, 2. ],\n",
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       "       [7.2, 3.6, 6.1, 2.5, 2. ],\n",
       "       [6.5, 3.2, 5.1, 2. , 2. ],\n",
       "       [6.4, 2.7, 5.3, 1.9, 2. ],\n",
       "       [6.8, 3. , 5.5, 2.1, 2. ],\n",
       "       [5.7, 2.5, 5. , 2. , 2. ],\n",
       "       [5.8, 2.8, 5.1, 2.4, 2. ],\n",
       "       [6.4, 3.2, 5.3, 2.3, 2. ],\n",
       "       [6.5, 3. , 5.5, 1.8, 2. ],\n",
       "       [7.7, 3.8, 6.7, 2.2, 2. ],\n",
       "       [7.7, 2.6, 6.9, 2.3, 2. ],\n",
       "       [6. , 2.2, 5. , 1.5, 2. ],\n",
       "       [6.9, 3.2, 5.7, 2.3, 2. ],\n",
       "       [5.6, 2.8, 4.9, 2. , 2. ],\n",
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       "       [6.3, 2.7, 4.9, 1.8, 2. ],\n",
       "       [6.7, 3.3, 5.7, 2.1, 2. ],\n",
       "       [7.2, 3.2, 6. , 1.8, 2. ],\n",
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       "       [6.3, 3.4, 5.6, 2.4, 2. ],\n",
       "       [6.4, 3.1, 5.5, 1.8, 2. ],\n",
       "       [6. , 3. , 4.8, 1.8, 2. ],\n",
       "       [6.9, 3.1, 5.4, 2.1, 2. ],\n",
       "       [6.7, 3.1, 5.6, 2.4, 2. ],\n",
       "       [6.9, 3.1, 5.1, 2.3, 2. ],\n",
       "       [5.8, 2.7, 5.1, 1.9, 2. ],\n",
       "       [6.8, 3.2, 5.9, 2.3, 2. ],\n",
       "       [6.7, 3.3, 5.7, 2.5, 2. ],\n",
       "       [6.7, 3. , 5.2, 2.3, 2. ],\n",
       "       [6.3, 2.5, 5. , 1.9, 2. ],\n",
       "       [6.5, 3. , 5.2, 2. , 2. ],\n",
       "       [6.2, 3.4, 5.4, 2.3, 2. ],\n",
       "       [5.9, 3. , 5.1, 1.8, 2. ]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.concatenate([features, target], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.concatenate?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.DataFrame?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)']"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['feature_names']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)',\n",
       " 'label']"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 浅拷贝，防止原地修改\n",
    "feature_names = data['feature_names'].copy() # deepcopy(data['feature_names'])\n",
    "feature_names.append('label')\n",
    "feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "      <th>label</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.3</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.9</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>6.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>6.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.3</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>5.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.8</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>150 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)  \\\n",
       "0                  5.1               3.5                1.4               0.2   \n",
       "1                  4.9               3.0                1.4               0.2   \n",
       "2                  4.7               3.2                1.3               0.2   \n",
       "3                  4.6               3.1                1.5               0.2   \n",
       "4                  5.0               3.6                1.4               0.2   \n",
       "..                 ...               ...                ...               ...   \n",
       "145                6.7               3.0                5.2               2.3   \n",
       "146                6.3               2.5                5.0               1.9   \n",
       "147                6.5               3.0                5.2               2.0   \n",
       "148                6.2               3.4                5.4               2.3   \n",
       "149                5.9               3.0                5.1               1.8   \n",
       "\n",
       "     label  \n",
       "0      0.0  \n",
       "1      0.0  \n",
       "2      0.0  \n",
       "3      0.0  \n",
       "4      0.0  \n",
       "..     ...  \n",
       "145    2.0  \n",
       "146    2.0  \n",
       "147    2.0  \n",
       "148    2.0  \n",
       "149    2.0  \n",
       "\n",
       "[150 rows x 5 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_full = pd.DataFrame(data = np.concatenate([features, target], axis=1), \n",
    "                       columns=feature_names)\n",
    "df_full"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'D:\\\\Github\\\\ML-Algorithm-Source-Code\\\\Fuzzy C-Means'"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os\n",
    "os.getcwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 保存数据集\n",
    "df_full.to_csv(str(os.getcwd()) + '/iris_data.csv', index=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)',\n",
       "       'petal width (cm)', 'label'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_full.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 5)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_full.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "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>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)\n",
       "0                5.1               3.5                1.4               0.2\n",
       "1                4.9               3.0                1.4               0.2\n",
       "2                4.7               3.2                1.3               0.2\n",
       "3                4.6               3.1                1.5               0.2\n",
       "4                5.0               3.6                1.4               0.2"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "columns = list(df_full.columns)\n",
    "features = columns[:len(columns)-1]\n",
    "class_labels = list(df_full[columns[-1]])\n",
    "df = df_full[features]\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Defining parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here I have only created 3 clusters because we have 3 classes in the Iris data. The MAX_ITER parameter acts as a fuse in our loop inorder to prevent us from the infinite loop. Next, is the fuzzy parameter, if the value is 1 its same as K-nearest neighbours I have taken the value as 1.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 簇数量，鸢尾花数据集有3类\n",
    "k = 3\n",
    "c = 3\n",
    "# 最大迭代次数，防止无限循环\n",
    "MAX_ITER = 100\n",
    "# 数据量\n",
    "n = len(df)\n",
    "n_sample = n\n",
    "# 加权指数m，有论文建议 [1.5, 2.5] 范围之间比较好\n",
    "m = 1.7 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scatter Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2000x2000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sepal length vs sepal width 特征的散点图\n",
    "plt.figure(figsize=(10,10), dpi=200)                 \n",
    "plt.scatter(list(df.iloc[:,0]), list(df.iloc[:,1]), marker='o')\n",
    "plt.axis('equal')                                                \n",
    "plt.xlabel('Sepal Length', fontsize=16)                                         \n",
    "plt.ylabel('Sepal Width', fontsize=16)                                          \n",
    "plt.title('Sepal Plot', fontsize=22)                                  \n",
    "plt.grid(linestyle='-.', c='')                                                                   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# petal length vs sepal width 特征的散点图\n",
    "plt.figure(figsize=(10,10))                       \n",
    "plt.scatter(list(df.iloc[:,2]), list(df.iloc[:,3]), marker='o')       \n",
    "plt.axis('equal')                                                                 \n",
    "plt.xlabel('Petal Length', fontsize=16)                                                 \n",
    "plt.ylabel('Petal Width', fontsize=16)                                                 \n",
    "plt.title('Petal Plot', fontsize=22)                                            \n",
    "plt.grid()                                                                         \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Initialize fuzzy matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6616233882783724"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.random()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 初始化隶属度矩阵 U\n",
    "def init_fuzzy_matrix(n_sample, c):\n",
    "    \"\"\"\n",
    "    初始化隶属度矩阵，注意针对一个样本，三个隶属度的相加和=1\n",
    "    ----\n",
    "    param n_sample: 样本数量\n",
    "    param c: 聚类数量\n",
    "    \"\"\"\n",
    "    # 针对数据集中所有样本的隶属度矩阵，shape = [n_sample, c]\n",
    "    fuzzy_matrix = []\n",
    "    \n",
    "    for i in range(n_sample):\n",
    "        # 生成 c 个随机数列表, random.random()方法随机生成[0,1)范围内的一个实数。\n",
    "        random_list = [random.random() for i in range(c)]\n",
    "        sum_of_random = sum(random_list)\n",
    "        # 归一化之后的随机数列表\n",
    "        # 单个样本的模糊隶属度列表\n",
    "        norm_random_list = [x/sum_of_random for x in random_list]\n",
    "        # 选择随机参数列表中最大的数的索引\n",
    "        one_of_random_index = norm_random_list.index(max(norm_random_list))\n",
    "        \n",
    "        for j in range(0, len(norm_random_list)):\n",
    "            if(j == one_of_random_index):\n",
    "                norm_random_list[j] = 1\n",
    "            else:\n",
    "                norm_random_list[j] = 0\n",
    "                \n",
    "        fuzzy_matrix.append(norm_random_list)\n",
    "    \n",
    "    return fuzzy_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "fuzzy_matrix = init_fuzzy_matrix(n_sample=n, c=c)\n",
    "fuzzy_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
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       "  1)]"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(zip(*fuzzy_matrix))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 150)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list(zip(*fuzzy_matrix))), len(list(zip(*fuzzy_matrix))[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating Cluster Center"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算FCM的聚类中心\n",
    "def cal_cluster_centers(df, fuzzy_matrix, n_sample, c, m):\n",
    "    \"\"\"\n",
    "    param df: 数据集的特征集，不包含标签列\n",
    "    param fuzzy_matrix: 隶属度矩阵\n",
    "    param c: 聚类簇数量\n",
    "    param m: 加权指数\n",
    "    \"\"\"\n",
    "    # *字符称为解包运算符\n",
    "    # zip(*fuzzy_amtrix) 相当于将fuzzy_matrix按列展开并拼接，但并不合并！\n",
    "    # list(zip(*fuzzy_amtrix)) 包含 列数 个元组。\n",
    "    fuzzy_mat_ravel = list(zip(*fuzzy_matrix))\n",
    "    \n",
    "    cluster_centers = []\n",
    "    \n",
    "    # 遍历聚类数量次\n",
    "    for j in range(c):\n",
    "        # 取出属于某一类的所有样本的隶属度列表（隶属度矩阵的一列）\n",
    "        fuzzy_one_dim_list = list(fuzzy_mat_ravel[j])\n",
    "        # 计算隶属度的m次方\n",
    "        m_fuzzy_one_dim_list = [p ** m for p in fuzzy_one_dim_list]\n",
    "        # 隶属度求和，求解聚类中心公式中的分母\n",
    "        denominator = sum(m_fuzzy_one_dim_list)\n",
    "        \n",
    "        # \n",
    "        numerator_list = []\n",
    "        \n",
    "        # 遍历所有样本，求分子\n",
    "        for i in range(n_sample):\n",
    "            # 取出一个样本\n",
    "            sample = list(df.iloc[i])\n",
    "            # 聚类簇中心的分子部分，样本与对应的隶属度的m次方相乘\n",
    "            mul_sample_fuzzy = [m_fuzzy_one_dim_list[i] * val for val in sample]\n",
    "            numerator_list.append(mul_sample_fuzzy)\n",
    "        # 计算分子，求和\n",
    "        numerator = map(sum, list(zip(*numerator_list)))\n",
    "        cluster_center = [val/denominator for val in numerator]\n",
    "        cluster_centers.append(cluster_center)\n",
    "        \n",
    "    return cluster_centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[5.840350877192981,\n",
       "  2.963157894736842,\n",
       "  3.7912280701754386,\n",
       "  1.1491228070175437],\n",
       " [5.746296296296295,\n",
       "  3.1222222222222222,\n",
       "  3.6574074074074074,\n",
       "  1.1888888888888887],\n",
       " [5.982051282051281, 3.1051282051282043, 3.848717948717947, 1.287179487179487]]"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cal_cluster_centers(df, fuzzy_matrix, n_sample=n, c=c, m=m)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Updating Membership Value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 更新隶属度矩阵，参考公式 (8)\n",
    "def update_fuzzy_matrix(df, fuzzy_matrix, n_sample, c, m, cluster_centers):\n",
    "    # 分母的指数项\n",
    "    order = float(2 / (m - 1))\n",
    "    # 遍历样本\n",
    "    for i in range(n_sample):\n",
    "        # 单个样本\n",
    "        sample = list(df.iloc[i])\n",
    "        # 计算更新公式的分母：样本减去聚类中心\n",
    "        distances = [np.linalg.norm(  np.array(list(  map(operator.sub, sample, cluster_centers[j])  ))  ) \\\n",
    "                     for j in range(c)]\n",
    "        for j in range(c):\n",
    "            # 更新公式的分母\n",
    "            denominator = sum([math.pow(float(distances[j]/distances[val]), order) for val in range(k)])\n",
    "            fuzzy_matrix[i][j] = float(1 / denominator)\n",
    "            \n",
    "    return fuzzy_matrix  #, distances"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Getting the clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 获取聚类中心\n",
    "def get_clusters(fuzzy_matrix, n_sample):\n",
    "    # 隶属度最大的那一个维度作为最终的聚类结果\n",
    "    cluster_labels = []\n",
    "    for i in range(n_sample):\n",
    "        max_val, idx = max( (val, idx) for (idx, val) in enumerate(fuzzy_matrix[i]) )\n",
    "        cluster_labels.append(idx)\n",
    "    return cluster_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fuzzy C-Means "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 模糊c均值聚类算法\n",
    "def fuzzy_c_means(df, fuzzy_matrix, n_sample, c, m, max_iter=MAX_ITER, init_method='random'):\n",
    "    \"\"\"\n",
    "    param init_random: 聚类中心的初始化方法\n",
    "            - random: 从样本中随机选择c个作为聚类中心\n",
    "            - multi_normal: 多元高斯分布采样\n",
    "    \"\"\"\n",
    "    # 样本特征数量\n",
    "    n_features = df.shape[-1]\n",
    "    # 初始化隶属度矩阵\n",
    "    fuzzy_matrix = init_fuzzy_matrix(n_sample, c)\n",
    "    # 初始化迭代次数\n",
    "    current_iter = 0\n",
    "    # 初始化聚类中心\n",
    "    init_cluster_centers = []\n",
    "    cluster_centers = []\n",
    "    # 初始化样本聚类标签的列表，每次迭代都需要保存每个样本的聚类\n",
    "    max_iter_cluster_labels = []\n",
    "    # 选择初始化方法\n",
    "    if init_method == 'multi_normal':\n",
    "        # 均值列表\n",
    "        mean = [0] * n_features\n",
    "        # 多元高斯分布的协方差矩阵，对角阵\n",
    "        cov = np.identity(n_features)\n",
    "        for i in range(0, c):\n",
    "            init_cluster_centers.append(  list( np.random.multivariate_normal(mean, cov) )  )\n",
    "#     else:\n",
    "#         init_cluster_centers = [[0.1] * n_features ] * c\n",
    "        \n",
    "    print(init_cluster_centers)\n",
    "    \n",
    "    while current_iter < max_iter:\n",
    "        if current_iter == 0 and init_method == 'multi_normal':\n",
    "            cluster_centers = init_cluster_centers\n",
    "        else:\n",
    "            cluster_centers = cal_cluster_centers(df, fuzzy_matrix, n_sample, c, m)\n",
    "        fuzzy_matrix = update_fuzzy_matrix(df, fuzzy_matrix, n_sample, c, m, cluster_centers)\n",
    "        cluster_labels = get_clusters(fuzzy_matrix, n_sample)\n",
    "        max_iter_cluster_labels.append(cluster_labels)\n",
    "        \n",
    "        current_iter += 1\n",
    "        \n",
    "        print('-' * 32)\n",
    "        print(\"Fuzzy Matrix U:\\n\")\n",
    "        print(np.array(fuzzy_matrix))\n",
    "        \n",
    "    return cluster_centers, cluster_labels, max_iter_cluster_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[[0] * 4] * 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.multivariate_normal?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.identity?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating the Accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       " 2.0,\n",
       " 2.0]"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0       virginica\n",
       "1       virginica\n",
       "2       virginica\n",
       "3       virginica\n",
       "4       virginica\n",
       "          ...    \n",
       "145        setosa\n",
       "146        setosa\n",
       "147        setosa\n",
       "148        setosa\n",
       "149    versicolor\n",
       "Length: 150, dtype: object"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "true_labels = pd.Series(labels).map(target_dicts)\n",
    "true_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'versicolor'"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "true_labels.values[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'versicolor'"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "true_labels.values[70]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['setosa', 'versicolor', 'virginica'], dtype=object)"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(true_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class_labels[-1] == 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[0.28134391 0.29393819 0.4247179 ]\n",
      " [0.27870313 0.29012919 0.43116768]\n",
      " [0.2816685  0.29271715 0.42561435]\n",
      " [0.27870866 0.2893393  0.43195205]\n",
      " [0.2822783  0.29461131 0.42311039]\n",
      " [0.28091235 0.29601707 0.42307057]\n",
      " [0.28078907 0.292167   0.42704393]\n",
      " [0.27875934 0.29107571 0.43016495]\n",
      " [0.28139712 0.29110731 0.42749557]\n",
      " [0.27854183 0.28966668 0.43179149]\n",
      " [0.28306972 0.29667273 0.42025755]\n",
      " [0.27762685 0.28930286 0.4330703 ]\n",
      " [0.28025296 0.29091651 0.42883053]\n",
      " [0.2868421  0.29611879 0.41703911]\n",
      " [0.2935835  0.30711545 0.39930105]\n",
      " [0.29460974 0.30900807 0.39638219]\n",
      " [0.28662249 0.30081026 0.41256725]\n",
      " [0.28022338 0.29333453 0.42644209]\n",
      " [0.28325732 0.29858805 0.41815463]\n",
      " [0.28218122 0.29545027 0.42236851]\n",
      " [0.27598084 0.28977143 0.43424774]\n",
      " [0.27978262 0.2936115  0.42660588]\n",
      " [0.28834589 0.29917889 0.41247522]\n",
      " [0.26946322 0.28399538 0.4465414 ]\n",
      " [0.27244699 0.28403782 0.44351519]\n",
      " [0.27466571 0.28647808 0.43885621]\n",
      " [0.27428454 0.28778773 0.43792773]\n",
      " [0.27985033 0.29286012 0.42728955]\n",
      " [0.28065597 0.29347403 0.42587   ]\n",
      " [0.27679151 0.28788917 0.43531932]\n",
      " [0.27572981 0.28703506 0.43723514]\n",
      " [0.27719955 0.29191982 0.43088063]\n",
      " [0.288859   0.30113634 0.41000467]\n",
      " [0.29190578 0.30512992 0.4029643 ]\n",
      " [0.27714617 0.28877576 0.43407807]\n",
      " [0.28260241 0.29443689 0.4229607 ]\n",
      " [0.28462678 0.29806624 0.41730698]\n",
      " [0.28348249 0.2950266  0.42149091]\n",
      " [0.2828526  0.29273591 0.42441149]\n",
      " [0.27873822 0.29137441 0.42988737]\n",
      " [0.28188882 0.29454933 0.42356185]\n",
      " [0.2832335  0.29242642 0.42434008]\n",
      " [0.28337149 0.2934956  0.42313291]\n",
      " [0.27334545 0.28800262 0.43865193]\n",
      " [0.27450993 0.28884263 0.43664744]\n",
      " [0.27788911 0.28946186 0.43264903]\n",
      " [0.28187903 0.29470797 0.42341301]\n",
      " [0.28064713 0.29140925 0.42794362]\n",
      " [0.28253291 0.29587069 0.4215964 ]\n",
      " [0.27975754 0.29189914 0.42834332]\n",
      " [0.41455985 0.39030676 0.19513339]\n",
      " [0.45343627 0.40635294 0.1402108 ]\n",
      " [0.41471177 0.38698801 0.19830022]\n",
      " [0.33688669 0.31613953 0.34697377]\n",
      " [0.43889256 0.39412577 0.16698166]\n",
      " [0.45539856 0.36986709 0.17473436]\n",
      " [0.43953619 0.3980276  0.16243621]\n",
      " [0.23374528 0.2393362  0.52691851]\n",
      " [0.44117817 0.39346664 0.1653552 ]\n",
      " [0.28864542 0.28258554 0.42876904]\n",
      " [0.2705818  0.27013278 0.45928542]\n",
      " [0.50247428 0.40699861 0.0905271 ]\n",
      " [0.37186173 0.34180695 0.28633132]\n",
      " [0.45637818 0.38655787 0.15706395]\n",
      " [0.0898941  0.10798331 0.80212259]\n",
      " [0.4373699  0.40477027 0.15785982]\n",
      " [0.44130512 0.37760583 0.18108905]\n",
      " [0.45414926 0.35017009 0.19568065]\n",
      " [0.40654274 0.37149762 0.22195964]\n",
      " [0.32459807 0.29772112 0.37768081]\n",
      " [0.42419199 0.38694665 0.18886136]\n",
      " [0.50744753 0.41180107 0.08075141]\n",
      " [0.4194582  0.37720245 0.20333935]\n",
      " [0.45579652 0.37947462 0.16472886]\n",
      " [0.47316598 0.40492654 0.12190748]\n",
      " [0.44619034 0.40495018 0.14885948]\n",
      " [0.42003671 0.38606195 0.19390134]\n",
      " [0.41456763 0.38555287 0.1998795 ]\n",
      " [0.46985035 0.39240063 0.13774902]\n",
      " [0.17882621 0.18846508 0.6327087 ]\n",
      " [0.28460122 0.27291501 0.44248376]\n",
      " [0.25826949 0.25197361 0.4897569 ]\n",
      " [0.42000365 0.36200495 0.21799141]\n",
      " [0.41559926 0.37373399 0.21066675]\n",
      " [0.41212515 0.36443269 0.22344216]\n",
      " [0.44767162 0.40375735 0.14857103]\n",
      " [0.4288368  0.39479568 0.17636752]\n",
      " [0.41786505 0.37539445 0.2067405 ]\n",
      " [0.46873097 0.3724221  0.15884693]\n",
      " [0.34436216 0.31755215 0.33808569]\n",
      " [0.40683661 0.34675614 0.24640725]\n",
      " [0.46990492 0.39149206 0.13860302]\n",
      " [0.42316214 0.35799293 0.21884493]\n",
      " [0.23628865 0.24165491 0.52205644]\n",
      " [0.42886632 0.356546   0.21458768]\n",
      " [0.52111409 0.36317002 0.11571589]\n",
      " [0.49888282 0.37162029 0.12949689]\n",
      " [0.50283156 0.39701632 0.10015212]\n",
      " [0.21027897 0.22316255 0.56655848]\n",
      " [0.47415921 0.3702086  0.15563219]\n",
      " [0.38017867 0.36513339 0.25468794]\n",
      " [0.40200389 0.37042554 0.22757056]\n",
      " [0.38460682 0.36826534 0.24712784]\n",
      " [0.39864587 0.37104553 0.2303086 ]\n",
      " [0.38794113 0.36882813 0.24323074]\n",
      " [0.37382068 0.36103341 0.26514592]\n",
      " [0.3488927  0.33138995 0.31971735]\n",
      " [0.38008922 0.36370138 0.2562094 ]\n",
      " [0.38902442 0.36655809 0.24441749]\n",
      " [0.37672558 0.36555505 0.25771938]\n",
      " [0.40650034 0.38339426 0.2101054 ]\n",
      " [0.40224648 0.37479539 0.22295813]\n",
      " [0.39310957 0.37401808 0.23287235]\n",
      " [0.39245708 0.36565284 0.24189008]\n",
      " [0.38624408 0.36871977 0.24503614]\n",
      " [0.39395921 0.37625732 0.22978347]\n",
      " [0.40131953 0.37455867 0.22412181]\n",
      " [0.37108422 0.36059393 0.26832185]\n",
      " [0.36933323 0.35779591 0.27287086]\n",
      " [0.40001878 0.36392592 0.2360553 ]\n",
      " [0.38611017 0.37085954 0.24303029]\n",
      " [0.39696696 0.36941484 0.2336182 ]\n",
      " [0.37251391 0.35971477 0.26777131]\n",
      " [0.41724547 0.38276365 0.19999089]\n",
      " [0.39043646 0.37200611 0.23755743]\n",
      " [0.38513531 0.36781948 0.24704521]\n",
      " [0.42405218 0.38653946 0.18940836]\n",
      " [0.42353871 0.38562    0.19084129]\n",
      " [0.3924081  0.37032179 0.23727011]\n",
      " [0.38920539 0.3693963  0.24139832]\n",
      " [0.38068851 0.36497312 0.25433837]\n",
      " [0.37267342 0.36222672 0.26509986]\n",
      " [0.3904011  0.36990659 0.23969231]\n",
      " [0.42132117 0.37888803 0.1997908 ]\n",
      " [0.3986032  0.36501399 0.23638281]\n",
      " [0.37572422 0.36421432 0.26006146]\n",
      " [0.38650544 0.37063166 0.2428629 ]\n",
      " [0.40203759 0.37472262 0.22323979]\n",
      " [0.42677941 0.38692828 0.18629231]\n",
      " [0.39368379 0.37585576 0.23046045]\n",
      " [0.38672784 0.37127437 0.24199779]\n",
      " [0.39240751 0.37892896 0.22866352]\n",
      " [0.40200389 0.37042554 0.22757056]\n",
      " [0.38417791 0.36842029 0.2474018 ]\n",
      " [0.38356463 0.3698312  0.24660417]\n",
      " [0.39356988 0.37742912 0.229001  ]\n",
      " [0.40489322 0.37617002 0.21893676]\n",
      " [0.40423381 0.37991162 0.21585458]\n",
      " [0.39118572 0.37371073 0.23510355]\n",
      " [0.41250986 0.37673942 0.21075072]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[0.13005367 0.14641601 0.72353032]\n",
      " [0.13070754 0.1465651  0.72272735]\n",
      " [0.14060763 0.15687989 0.70251248]\n",
      " [0.1335456  0.14941169 0.71704271]\n",
      " [0.13361811 0.15015877 0.71622312]\n",
      " [0.12156545 0.13862306 0.7398115 ]\n",
      " [0.13789795 0.1541854  0.70791665]\n",
      " [0.12346104 0.13928603 0.73725292]\n",
      " [0.1478711  0.16410125 0.68802765]\n",
      " [0.12717487 0.14289115 0.72993398]\n",
      " [0.12932161 0.14629321 0.72438518]\n",
      " [0.12263697 0.13827505 0.73908798]\n",
      " [0.13590607 0.15191735 0.71217658]\n",
      " [0.16435292 0.1809312  0.65471589]\n",
      " [0.16414495 0.18326929 0.65258576]\n",
      " [0.16676523 0.18690027 0.6463345 ]\n",
      " [0.1446036  0.16255024 0.69284616]\n",
      " [0.12756773 0.14383144 0.72860083]\n",
      " [0.12506517 0.14274607 0.73218876]\n",
      " [0.13081517 0.14762834 0.72155649]\n",
      " [0.10732441 0.12259053 0.77008506]\n",
      " [0.12497933 0.1413913  0.73362938]\n",
      " [0.16153369 0.17863038 0.65983593]\n",
      " [0.0979745  0.11211403 0.78991146]\n",
      " [0.10603593 0.12065294 0.77331112]\n",
      " [0.11602856 0.13113735 0.75283409]\n",
      " [0.11150514 0.12663733 0.76185753]\n",
      " [0.12299437 0.13909691 0.73790871]\n",
      " [0.12753462 0.14378152 0.72868386]\n",
      " [0.12434171 0.13986147 0.73579682]\n",
      " [0.12083144 0.13614362 0.74302495]\n",
      " [0.11570465 0.13159216 0.75270319]\n",
      " [0.14873512 0.16678444 0.68448044]\n",
      " [0.15777223 0.17667782 0.66554995]\n",
      " [0.12390823 0.13945948 0.73663229]\n",
      " [0.14018161 0.15665964 0.70315875]\n",
      " [0.13735655 0.15458005 0.70806341]\n",
      " [0.1380385  0.15466465 0.70729685]\n",
      " [0.15111013 0.16747606 0.68141381]\n",
      " [0.12190468 0.13773436 0.74036097]\n",
      " [0.13508134 0.1516107  0.71330796]\n",
      " [0.16272667 0.17923499 0.65803834]\n",
      " [0.15039987 0.16685732 0.68274282]\n",
      " [0.11093697 0.12624398 0.76281905]\n",
      " [0.10515026 0.12054943 0.77430032]\n",
      " [0.13083087 0.14664954 0.72251959]\n",
      " [0.12786301 0.14452461 0.72761238]\n",
      " [0.13851886 0.15465578 0.70682536]\n",
      " [0.12875074 0.1455411  0.72570816]\n",
      " [0.12847974 0.14448979 0.72703046]\n",
      " [0.5169263  0.42247115 0.06060256]\n",
      " [0.60396439 0.37923762 0.01679799]\n",
      " [0.52870138 0.4141696  0.05712903]\n",
      " [0.43106812 0.45224186 0.11669002]\n",
      " [0.59129476 0.38368321 0.02502203]\n",
      " [0.58287781 0.39883568 0.01828651]\n",
      " [0.58466971 0.38998753 0.02534275]\n",
      " [0.17178697 0.20037225 0.62784078]\n",
      " [0.57099732 0.39960451 0.02939817]\n",
      " [0.38521517 0.44632749 0.16845734]\n",
      " [0.26336927 0.29189375 0.44473698]\n",
      " [0.7026046  0.29585635 0.00153906]\n",
      " [0.44255647 0.45324493 0.10419859]\n",
      " [0.63537953 0.3488693  0.01575117]\n",
      " [0.30898002 0.48902154 0.20199844]\n",
      " [0.54961066 0.41922065 0.03116869]\n",
      " [0.56960133 0.40930738 0.0210913 ]\n",
      " [0.44420834 0.52013421 0.03565745]\n",
      " [0.53420219 0.41533313 0.05046467]\n",
      " [0.40190167 0.48284348 0.11525485]\n",
      " [0.57066205 0.39669801 0.03263994]\n",
      " [0.43716488 0.55689591 0.00593921]\n",
      " [0.56063154 0.39694541 0.04242304]\n",
      " [0.6051734  0.37427511 0.0205515 ]\n",
      " [0.6075847  0.38122388 0.01119142]\n",
      " [0.57295113 0.40391811 0.02313075]\n",
      " [0.54123669 0.40976366 0.04899965]\n",
      " [0.54199808 0.40640122 0.0516007 ]\n",
      " [0.69520871 0.29750711 0.00728418]\n",
      " [0.26080639 0.35625616 0.38293746]\n",
      " [0.36885768 0.43627312 0.1948692 ]\n",
      " [0.32755387 0.39678592 0.27566021]\n",
      " [0.38956691 0.5748274  0.03560569]\n",
      " [0.55668072 0.39744505 0.04587422]\n",
      " [0.51981503 0.43870296 0.04148201]\n",
      " [0.57883645 0.40235733 0.01880622]\n",
      " [0.55598914 0.40623133 0.03777953]\n",
      " [0.53547358 0.42065687 0.04386955]\n",
      " [0.41911016 0.56200295 0.0188869 ]\n",
      " [0.43403282 0.47854861 0.08741856]\n",
      " [0.5017568  0.44808632 0.05015688]\n",
      " [0.66816691 0.32181894 0.01001415]\n",
      " [0.44134682 0.52379206 0.03486112]\n",
      " [0.18389065 0.21399345 0.6021159 ]\n",
      " [0.49215405 0.47924996 0.02859599]\n",
      " [0.45848261 0.53106402 0.01045338]\n",
      " [0.49875721 0.49212482 0.00911797]\n",
      " [0.70512702 0.29122025 0.00365273]\n",
      " [0.09759358 0.11744507 0.78496135]\n",
      " [0.45225647 0.5332521  0.01449143]\n",
      " [0.47608951 0.4087073  0.11520319]\n",
      " [0.53728161 0.40541616 0.05730222]\n",
      " [0.47956    0.40933769 0.1111023 ]\n",
      " [0.51543799 0.40833671 0.07622531]\n",
      " [0.49346922 0.40971429 0.0968165 ]\n",
      " [0.45089028 0.40215556 0.14695416]\n",
      " [0.44444715 0.41877517 0.13677769]\n",
      " [0.46526349 0.40610456 0.12863195]\n",
      " [0.49354669 0.4087089  0.09774441]\n",
      " [0.45961296 0.40658673 0.13380031]\n",
      " [0.53163023 0.40938903 0.05898075]\n",
      " [0.52893866 0.40607338 0.06498796]\n",
      " [0.50225504 0.411148   0.08659696]\n",
      " [0.52309012 0.41000693 0.06690295]\n",
      " [0.50772724 0.41249771 0.07977504]\n",
      " [0.50956468 0.41217954 0.07825578]\n",
      " [0.51838531 0.40887321 0.07274149]\n",
      " [0.44067844 0.39993124 0.15939032]\n",
      " [0.44226224 0.39836435 0.1593734 ]\n",
      " [0.52599252 0.40893596 0.06507153]\n",
      " [0.48539586 0.41093575 0.10366839]\n",
      " [0.53040953 0.4113786  0.05821187]\n",
      " [0.4475423  0.4007524  0.1517053 ]\n",
      " [0.56584318 0.39397205 0.04018477]\n",
      " [0.49323755 0.41150772 0.09525472]\n",
      " [0.47498852 0.40935852 0.11565296]\n",
      " [0.58363652 0.38487324 0.03149025]\n",
      " [0.57704123 0.38910562 0.03385315]\n",
      " [0.50662667 0.40908207 0.08429126]\n",
      " [0.48276369 0.41068522 0.10655109]\n",
      " [0.46775719 0.40696412 0.12527869]\n",
      " [0.44209262 0.40137925 0.15652814]\n",
      " [0.50334665 0.40937488 0.08727846]\n",
      " [0.56001094 0.39632711 0.04366195]\n",
      " [0.51216095 0.40849661 0.07934244]\n",
      " [0.45670967 0.40496809 0.13832225]\n",
      " [0.49054712 0.41206437 0.09738851]\n",
      " [0.51941023 0.40905548 0.07153429]\n",
      " [0.5865982  0.38442408 0.02897772]\n",
      " [0.50148717 0.41235733 0.08615549]\n",
      " [0.49105507 0.41105407 0.09789086]\n",
      " [0.50211092 0.41445084 0.08343824]\n",
      " [0.53728161 0.40541616 0.05730222]\n",
      " [0.48123369 0.40967837 0.10908793]\n",
      " [0.48231033 0.41080527 0.10688439]\n",
      " [0.50845526 0.41231378 0.07923096]\n",
      " [0.54147137 0.40351626 0.05501237]\n",
      " [0.53020649 0.40773766 0.06205585]\n",
      " [0.50156595 0.41328181 0.08515224]\n",
      " [0.55101352 0.40140644 0.04758004]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[1.67370416e-03 1.93740698e-03 9.96388889e-01]\n",
      " [3.45580138e-03 4.00966811e-03 9.92534531e-01]\n",
      " [4.57799076e-03 5.27743910e-03 9.90144570e-01]\n",
      " [4.76222486e-03 5.51991923e-03 9.89717856e-01]\n",
      " [2.29348060e-03 2.64938910e-03 9.95057130e-01]\n",
      " [7.68491132e-03 8.95712308e-03 9.83357966e-01]\n",
      " [4.23916730e-03 4.89312998e-03 9.90867703e-01]\n",
      " [7.70187024e-04 8.95081752e-04 9.98334731e-01]\n",
      " [1.23923491e-02 1.42805933e-02 9.73327058e-01]\n",
      " [2.36092679e-03 2.74347629e-03 9.94895597e-01]\n",
      " [4.48020073e-03 5.19262435e-03 9.90327175e-01]\n",
      " [1.17031303e-03 1.36171665e-03 9.97467970e-01]\n",
      " [4.77507177e-03 5.52619910e-03 9.89698729e-01]\n",
      " [1.77617417e-02 2.02482574e-02 9.61990001e-01]\n",
      " [2.52895205e-02 2.88127013e-02 9.45897778e-01]\n",
      " [3.77699103e-02 4.30839818e-02 9.19146108e-01]\n",
      " [1.00372123e-02 1.15372960e-02 9.78425492e-01]\n",
      " [1.40326150e-03 1.62648915e-03 9.96970249e-01]\n",
      " [1.32149466e-02 1.54049724e-02 9.71380081e-01]\n",
      " [3.46813198e-03 4.01365332e-03 9.92518215e-01]\n",
      " [1.58748362e-03 1.86334062e-03 9.96549176e-01]\n",
      " [2.14853281e-03 2.49416784e-03 9.95357299e-01]\n",
      " [1.16269296e-02 1.32299378e-02 9.75143133e-01]\n",
      " [1.22372469e-04 1.44288414e-04 9.99733339e-01]\n",
      " [1.47141973e-03 1.73019557e-03 9.96798385e-01]\n",
      " [1.84329139e-03 2.15675085e-03 9.95999958e-01]\n",
      " [1.79241420e-04 2.09681374e-04 9.99611077e-01]\n",
      " [1.19571591e-03 1.38973768e-03 9.97414546e-01]\n",
      " [1.61402847e-03 1.87157071e-03 9.96514401e-01]\n",
      " [2.30252737e-03 2.68030023e-03 9.95017172e-01]\n",
      " [1.94161698e-03 2.26505244e-03 9.95793331e-01]\n",
      " [1.97008482e-03 2.30089178e-03 9.95729023e-01]\n",
      " [1.22187562e-02 1.40189571e-02 9.73762287e-01]\n",
      " [2.06643201e-02 2.36146907e-02 9.55720989e-01]\n",
      " [1.77681020e-03 2.06806818e-03 9.96155122e-01]\n",
      " [4.00634162e-03 4.61656711e-03 9.91377091e-01]\n",
      " [6.14342366e-03 7.09160049e-03 9.86764976e-01]\n",
      " [3.20047453e-03 3.68907336e-03 9.93110452e-01]\n",
      " [1.17478889e-02 1.34973808e-02 9.74754730e-01]\n",
      " [7.26304128e-04 8.44761516e-04 9.98428934e-01]\n",
      " [2.43077002e-03 2.80585552e-03 9.94763374e-01]\n",
      " [3.13510863e-02 3.60223221e-02 9.32626592e-01]\n",
      " [9.78753692e-03 1.12360775e-02 9.78976386e-01]\n",
      " [1.06838484e-03 1.25069527e-03 9.97680920e-01]\n",
      " [3.76673358e-03 4.42828156e-03 9.91804985e-01]\n",
      " [3.84062552e-03 4.45697382e-03 9.91702401e-01]\n",
      " [3.30767298e-03 3.83537654e-03 9.92856950e-01]\n",
      " [4.83940746e-03 5.58869578e-03 9.89571897e-01]\n",
      " [3.38447906e-03 3.92224647e-03 9.92693274e-01]\n",
      " [1.40238102e-03 1.62576700e-03 9.96971852e-01]\n",
      " [5.46104019e-01 4.45800407e-01 8.09557359e-03]\n",
      " [4.12453520e-01 5.86179931e-01 1.36654894e-03]\n",
      " [6.01812232e-01 3.93424736e-01 4.76303187e-03]\n",
      " [3.84444059e-01 5.68390276e-01 4.71656645e-02]\n",
      " [5.04326910e-01 4.94833648e-01 8.39441757e-04]\n",
      " [3.29119934e-01 6.65788537e-01 5.09152860e-03]\n",
      " [5.50270602e-01 4.48651186e-01 1.07821183e-03]\n",
      " [2.72519638e-01 3.52786500e-01 3.74693862e-01]\n",
      " [4.86312542e-01 5.11413344e-01 2.27411431e-03]\n",
      " [3.75742648e-01 5.50470322e-01 7.37870292e-02]\n",
      " [3.27352580e-01 4.17346420e-01 2.55301000e-01]\n",
      " [2.82533683e-01 7.12531343e-01 4.93497385e-03]\n",
      " [3.92349780e-01 5.65862700e-01 4.17875200e-02]\n",
      " [2.32750609e-01 7.67052378e-01 1.97012968e-04]\n",
      " [3.54527595e-01 5.49453539e-01 9.60188657e-02]\n",
      " [4.61816546e-01 5.33433883e-01 4.74957115e-03]\n",
      " [3.50298685e-01 6.44127409e-01 5.57390572e-03]\n",
      " [3.56040016e-01 6.17895948e-01 2.60640366e-02]\n",
      " [4.42646394e-01 5.50350403e-01 7.00320333e-03]\n",
      " [3.68780063e-01 5.75113579e-01 5.61063577e-02]\n",
      " [5.26795731e-01 4.71479514e-01 1.72475437e-03]\n",
      " [3.27850769e-01 6.59301061e-01 1.28481699e-02]\n",
      " [5.91230997e-01 4.07151659e-01 1.61734396e-03]\n",
      " [3.58906112e-01 6.39676441e-01 1.41744727e-03]\n",
      " [3.30550394e-01 6.66220938e-01 3.22866823e-03]\n",
      " [4.28184222e-01 5.68749557e-01 3.06622068e-03]\n",
      " [5.82755442e-01 4.13741946e-01 3.50261187e-03]\n",
      " [6.86577019e-01 3.11250587e-01 2.17239383e-03]\n",
      " [1.34123719e-01 8.65525588e-01 3.50693472e-04]\n",
      " [3.45892742e-01 5.06188106e-01 1.47919153e-01]\n",
      " [3.70139270e-01 5.45436282e-01 8.44244481e-02]\n",
      " [3.61925481e-01 5.21519755e-01 1.16554764e-01]\n",
      " [3.51662504e-01 6.14947606e-01 3.33898897e-02]\n",
      " [6.32800887e-01 3.65634366e-01 1.56474662e-03]\n",
      " [3.88959520e-01 5.98833874e-01 1.22066053e-02]\n",
      " [3.95703586e-01 6.00837954e-01 3.45845947e-03]\n",
      " [5.83893092e-01 4.13805040e-01 2.30186897e-03]\n",
      " [4.15752248e-01 5.76419019e-01 7.82873217e-03]\n",
      " [3.46425866e-01 6.31612330e-01 2.19618032e-02]\n",
      " [3.72520482e-01 5.86862972e-01 4.06165458e-02]\n",
      " [3.77891427e-01 6.04689901e-01 1.74186725e-02]\n",
      " [1.53854983e-01 8.45915384e-01 2.29633016e-04]\n",
      " [3.52674835e-01 6.21607995e-01 2.57171696e-02]\n",
      " [2.83122846e-01 3.67672298e-01 3.49204856e-01]\n",
      " [3.49239369e-01 6.33929266e-01 1.68313652e-02]\n",
      " [3.34970057e-01 6.50131822e-01 1.48981215e-02]\n",
      " [3.24751493e-01 6.63367385e-01 1.18811221e-02]\n",
      " [2.63712381e-01 7.33763136e-01 2.52448297e-03]\n",
      " [2.20992553e-01 2.86636907e-01 4.92370540e-01]\n",
      " [3.35401871e-01 6.47582958e-01 1.70151711e-02]\n",
      " [5.65676684e-01 4.13613283e-01 2.07100326e-02]\n",
      " [5.79219156e-01 4.17106410e-01 3.67443425e-03]\n",
      " [5.76469126e-01 4.04896028e-01 1.86348460e-02]\n",
      " [6.35521135e-01 3.58605186e-01 5.87367831e-03]\n",
      " [5.98457252e-01 3.89379774e-01 1.21629740e-02]\n",
      " [5.34832073e-01 4.25220193e-01 3.99477340e-02]\n",
      " [4.30017062e-01 5.25526089e-01 4.44568489e-02]\n",
      " [5.53247231e-01 4.18843138e-01 2.79096314e-02]\n",
      " [5.91535828e-01 3.96085494e-01 1.23786779e-02]\n",
      " [5.46308285e-01 4.21523800e-01 3.21679149e-02]\n",
      " [6.67921572e-01 3.28853845e-01 3.22458341e-03]\n",
      " [6.70001513e-01 3.26657169e-01 3.34131723e-03]\n",
      " [6.15998695e-01 3.74894096e-01 9.10720849e-03]\n",
      " [5.32783595e-01 4.60648184e-01 6.56822035e-03]\n",
      " [5.59713832e-01 4.31140373e-01 9.14579532e-03]\n",
      " [6.16247459e-01 3.76354984e-01 7.39755706e-03]\n",
      " [6.50803592e-01 3.44072352e-01 5.12405596e-03]\n",
      " [5.20703374e-01 4.28217209e-01 5.10794165e-02]\n",
      " [5.22961614e-01 4.28266819e-01 4.87715669e-02]\n",
      " [5.20104554e-01 4.73438247e-01 6.45719971e-03]\n",
      " [5.85147560e-01 3.99172469e-01 1.56799710e-02]\n",
      " [5.12141861e-01 4.81959146e-01 5.89899225e-03]\n",
      " [5.29641877e-01 4.27065286e-01 4.32928370e-02]\n",
      " [7.43244545e-01 2.56114416e-01 6.41039469e-04]\n",
      " [5.97706799e-01 3.89867690e-01 1.24255109e-02]\n",
      " [5.67009562e-01 4.11416298e-01 2.15741403e-02]\n",
      " [7.63306279e-01 2.36430384e-01 2.63337462e-04]\n",
      " [7.52675841e-01 2.46910449e-01 4.13709709e-04]\n",
      " [6.20768613e-01 3.71390276e-01 7.84111055e-03]\n",
      " [5.74801570e-01 4.07708666e-01 1.74897639e-02]\n",
      " [5.56443032e-01 4.17489119e-01 2.60678497e-02]\n",
      " [5.21340218e-01 4.29060051e-01 4.95997300e-02]\n",
      " [6.13177431e-01 3.78030322e-01 8.79224696e-03]\n",
      " [7.27479886e-01 2.71585392e-01 9.34721704e-04]\n",
      " [5.87242850e-01 4.05048766e-01 7.70838370e-03]\n",
      " [5.42038432e-01 4.23418411e-01 3.45431574e-02]\n",
      " [5.82846745e-01 4.03349585e-01 1.38036701e-02]\n",
      " [6.49036626e-01 3.45930655e-01 5.03271881e-03]\n",
      " [6.02316882e-01 3.97120827e-01 5.62290746e-04]\n",
      " [6.11137681e-01 3.79369503e-01 9.49281519e-03]\n",
      " [5.93134844e-01 3.93721326e-01 1.31438295e-02]\n",
      " [5.98819483e-01 3.91552609e-01 9.62790811e-03]\n",
      " [5.79219156e-01 4.17106410e-01 3.67443425e-03]\n",
      " [5.79262692e-01 4.03031207e-01 1.77061009e-02]\n",
      " [5.77663821e-01 4.05099101e-01 1.72370777e-02]\n",
      " [6.17214178e-01 3.75231288e-01 7.55453383e-03]\n",
      " [6.39992739e-01 3.57544907e-01 2.46235349e-03]\n",
      " [6.81296370e-01 3.15578333e-01 3.12529669e-03]\n",
      " [5.92448913e-01 3.97494035e-01 1.00570517e-02]\n",
      " [6.29929228e-01 3.68074261e-01 1.99651033e-03]]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[1.09606970e-04 1.55881186e-04 9.99734512e-01]\n",
      " [1.42970147e-03 2.05532306e-03 9.96514975e-01]\n",
      " [1.20182375e-03 1.70065054e-03 9.97097526e-01]\n",
      " [2.22031376e-03 3.18925751e-03 9.94590429e-01]\n",
      " [2.17649526e-04 3.08059836e-04 9.99474291e-01]\n",
      " [6.22002523e-03 8.93264525e-03 9.84847330e-01]\n",
      " [1.21221873e-03 1.71849714e-03 9.97069284e-01]\n",
      " [6.22329732e-06 8.94656010e-06 9.99984830e-01]\n",
      " [6.97560641e-03 9.90983349e-03 9.83114560e-01]\n",
      " [8.69408867e-04 1.25451216e-03 9.97876079e-01]\n",
      " [2.22543888e-03 3.16448064e-03 9.94610080e-01]\n",
      " [2.73339070e-04 3.94717262e-04 9.99331944e-01]\n",
      " [1.94358912e-03 2.78113863e-03 9.95275272e-01]\n",
      " [8.58888655e-03 1.18836900e-02 9.79527423e-01]\n",
      " [1.52212062e-02 2.07312361e-02 9.64047558e-01]\n",
      " [2.67600010e-02 3.64438606e-02 9.36796138e-01]\n",
      " [4.92698560e-03 6.85421760e-03 9.88218797e-01]\n",
      " [9.94339511e-05 1.41731531e-04 9.99758835e-01]\n",
      " [1.11864201e-02 1.60665656e-02 9.72747014e-01]\n",
      " [1.22060798e-03 1.73050017e-03 9.97048892e-01]\n",
      " [1.91650007e-03 2.81245140e-03 9.95271049e-01]\n",
      " [7.43571516e-04 1.06148181e-03 9.98194947e-01]\n",
      " [3.63430162e-03 4.97495911e-03 9.91390739e-01]\n",
      " [9.20374016e-04 1.36505425e-03 9.97714572e-01]\n",
      " [2.01304217e-03 2.98210816e-03 9.95004850e-01]\n",
      " [1.48959070e-03 2.18367994e-03 9.96326729e-01]\n",
      " [1.11574105e-04 1.62614825e-04 9.99725811e-01]\n",
      " [2.24790419e-04 3.22547233e-04 9.99452662e-01]\n",
      " [2.25438432e-04 3.21938283e-04 9.99452623e-01]\n",
      " [1.08406929e-03 1.57087507e-03 9.97345056e-01]\n",
      " [1.11293717e-03 1.62105589e-03 9.97266007e-01]\n",
      " [1.47806803e-03 2.13982099e-03 9.96382111e-01]\n",
      " [6.16667886e-03 8.56545556e-03 9.85267866e-01]\n",
      " [1.21732245e-02 1.67039305e-02 9.71122845e-01]\n",
      " [6.83904658e-04 9.89810716e-04 9.98326285e-01]\n",
      " [8.13562707e-04 1.14775524e-03 9.98038682e-01]\n",
      " [2.70110523e-03 3.80784220e-03 9.93491053e-01]\n",
      " [4.29999673e-04 6.06400638e-04 9.98963600e-01]\n",
      " [5.75987207e-03 8.11483388e-03 9.86125294e-01]\n",
      " [3.06848129e-05 4.41642964e-05 9.99925151e-01]\n",
      " [2.08455996e-04 2.94464450e-04 9.99497080e-01]\n",
      " [2.24335692e-02 3.17729806e-02 9.45793450e-01]\n",
      " [4.10072526e-03 5.75767394e-03 9.90141601e-01]\n",
      " [1.03078930e-03 1.50111117e-03 9.97468100e-01]\n",
      " [4.46127710e-03 6.55479021e-03 9.88983933e-01]\n",
      " [1.74933477e-03 2.51579087e-03 9.95734874e-01]\n",
      " [1.39547376e-03 1.98921945e-03 9.96615307e-01]\n",
      " [1.65253530e-03 2.35045752e-03 9.95997007e-01]\n",
      " [1.36817690e-03 1.94617547e-03 9.96685648e-01]\n",
      " [8.31723421e-05 1.18951375e-04 9.99797876e-01]\n",
      " [5.29752896e-01 4.62841320e-01 7.40578320e-03]\n",
      " [2.18475939e-01 7.78860874e-01 2.66318670e-03]\n",
      " [6.45031198e-01 3.51606968e-01 3.36183387e-03]\n",
      " [2.53475132e-01 6.98691660e-01 4.78332088e-02]\n",
      " [1.86675651e-01 8.12142899e-01 1.18145019e-03]\n",
      " [1.45740310e-01 8.48323096e-01 5.93659446e-03]\n",
      " [3.08543735e-01 6.89571907e-01 1.88435778e-03]\n",
      " [2.24133114e-01 4.27920972e-01 3.47945914e-01]\n",
      " [2.72168760e-01 7.24846676e-01 2.98456422e-03]\n",
      " [2.61094244e-01 6.63398014e-01 7.55077415e-02]\n",
      " [2.62139110e-01 4.98057089e-01 2.39803802e-01]\n",
      " [1.52623703e-01 8.39530756e-01 7.84554097e-03]\n",
      " [2.61433454e-01 6.95721824e-01 4.28447220e-02]\n",
      " [2.68806051e-02 9.72905280e-01 2.14114983e-04]\n",
      " [2.48591816e-01 6.49893066e-01 1.01515118e-01]\n",
      " [3.23265908e-01 6.70265375e-01 6.46871704e-03]\n",
      " [1.74811292e-01 8.18308810e-01 6.87989768e-03]\n",
      " [2.13252098e-01 7.57022116e-01 2.97257863e-02]\n",
      " [2.50102244e-01 7.43351250e-01 6.54650608e-03]\n",
      " [2.41526388e-01 6.99780631e-01 5.86929812e-02]\n",
      " [2.93963090e-01 7.03907272e-01 2.12963772e-03]\n",
      " [1.92199506e-01 7.90563122e-01 1.72373716e-02]\n",
      " [2.99740272e-01 6.99052403e-01 1.20732568e-03]\n",
      " [1.04709856e-01 8.93775482e-01 1.51466167e-03]\n",
      " [1.73251178e-01 8.21622178e-01 5.12664318e-03]\n",
      " [2.56205017e-01 7.39200136e-01 4.59484675e-03]\n",
      " [5.07192216e-01 4.89752596e-01 3.05518801e-03]\n",
      " [8.47716813e-01 1.51572732e-01 7.10455349e-04]\n",
      " [5.03031344e-02 9.48883616e-01 8.13249571e-04]\n",
      " [2.50082123e-01 6.02923603e-01 1.46994274e-01]\n",
      " [2.54981005e-01 6.60061818e-01 8.49571770e-02]\n",
      " [2.57048362e-01 6.27776308e-01 1.15175331e-01]\n",
      " [2.18903337e-01 7.42680734e-01 3.84159284e-02]\n",
      " [3.98269822e-01 6.00695529e-01 1.03464917e-03]\n",
      " [2.28711777e-01 7.57617937e-01 1.36702855e-02]\n",
      " [2.38590983e-01 7.55913425e-01 5.49559190e-03]\n",
      " [4.63053420e-01 5.34279337e-01 2.66724299e-03]\n",
      " [2.30223561e-01 7.61773296e-01 8.00314278e-03]\n",
      " [2.10151540e-01 7.63052032e-01 2.67964280e-02]\n",
      " [2.37325712e-01 7.19865139e-01 4.28091490e-02]\n",
      " [2.14248836e-01 7.67466925e-01 1.82842391e-02]\n",
      " [5.09180104e-02 9.48486816e-01 5.95173162e-04]\n",
      " [2.11018687e-01 7.59636029e-01 2.93452839e-02]\n",
      " [2.30629309e-01 4.44636171e-01 3.24734520e-01]\n",
      " [1.95959883e-01 7.84762067e-01 1.92780505e-02]\n",
      " [1.92793263e-01 7.88262605e-01 1.89441329e-02]\n",
      " [1.78771320e-01 8.06040030e-01 1.51886503e-02]\n",
      " [1.29419106e-01 8.66218241e-01 4.36265287e-03]\n",
      " [1.90388121e-01 3.57334740e-01 4.52277139e-01]\n",
      " [1.91851174e-01 7.87393526e-01 2.07553003e-02]\n",
      " [7.10908603e-01 2.78662595e-01 1.04288025e-02]\n",
      " [4.76249943e-01 5.21253402e-01 2.49665499e-03]\n",
      " [7.48170381e-01 2.43516473e-01 8.31314574e-03]\n",
      " [8.63144426e-01 1.35508729e-01 1.34684565e-03]\n",
      " [8.02554205e-01 1.93260441e-01 4.18535435e-03]\n",
      " [6.45857348e-01 3.29577114e-01 2.45655379e-02]\n",
      " [3.23077303e-01 6.34921355e-01 4.20013429e-02]\n",
      " [6.83228815e-01 3.01479975e-01 1.52912102e-02]\n",
      " [7.63583767e-01 2.31628601e-01 4.78763185e-03]\n",
      " [6.74636515e-01 3.06583063e-01 1.87804219e-02]\n",
      " [8.86856195e-01 1.12371399e-01 7.72406225e-04]\n",
      " [9.29692923e-01 6.99157891e-02 3.91287637e-04]\n",
      " [8.48144577e-01 1.49324587e-01 2.53083598e-03]\n",
      " [4.24726975e-01 5.70367611e-01 4.90541455e-03]\n",
      " [5.85427243e-01 4.08649533e-01 5.92322376e-03]\n",
      " [8.16931236e-01 1.80540894e-01 2.52787001e-03]\n",
      " [9.13521810e-01 8.56778290e-02 8.00361089e-04]\n",
      " [6.16612300e-01 3.48877759e-01 3.45099418e-02]\n",
      " [6.19372752e-01 3.48865926e-01 3.17613218e-02]\n",
      " [3.64117775e-01 6.31072795e-01 4.80943015e-03]\n",
      " [7.71335731e-01 2.22152315e-01 6.51195390e-03]\n",
      " [3.71560132e-01 6.23361956e-01 5.07791164e-03]\n",
      " [6.32311447e-01 3.40277872e-01 2.74106811e-02]\n",
      " [5.40447161e-01 4.59102204e-01 4.50634460e-04]\n",
      " [7.97925823e-01 1.97476730e-01 4.59744776e-03]\n",
      " [7.16480347e-01 2.72644364e-01 1.08752896e-02]\n",
      " [1.95523091e-01 8.04160980e-01 3.15929105e-04]\n",
      " [3.68072329e-01 6.31405897e-01 5.21773560e-04]\n",
      " [8.51286299e-01 1.46737462e-01 1.97623928e-03]\n",
      " [7.24723690e-01 2.66783842e-01 8.49246809e-03]\n",
      " [6.91406811e-01 2.94629876e-01 1.39633134e-02]\n",
      " [6.15517448e-01 3.50663638e-01 3.38189143e-02]\n",
      " [8.32464736e-01 1.65032429e-01 2.50283533e-03]\n",
      " [6.31318339e-01 3.68160586e-01 5.21075094e-04]\n",
      " [6.40558498e-01 3.55457216e-01 3.98428650e-03]\n",
      " [6.62945349e-01 3.16550754e-01 2.05038963e-02]\n",
      " [7.42957642e-01 2.50656002e-01 6.38635659e-03]\n",
      " [8.96761351e-01 1.02293329e-01 9.45320176e-04]\n",
      " [1.91407906e-01 8.07894390e-01 6.97703386e-04]\n",
      " [8.28230069e-01 1.68712860e-01 3.05707118e-03]\n",
      " [7.90131396e-01 2.04893604e-01 4.97499995e-03]\n",
      " [7.74959303e-01 2.20915624e-01 4.12507273e-03]\n",
      " [4.76249943e-01 5.21253402e-01 2.49665499e-03]\n",
      " [7.57010298e-01 2.35310388e-01 7.67931365e-03]\n",
      " [7.48694153e-01 2.43476815e-01 7.82903245e-03]\n",
      " [8.29143607e-01 1.68440360e-01 2.41603367e-03]\n",
      " [6.49681368e-01 3.49118377e-01 1.20025488e-03]\n",
      " [9.57660598e-01 4.20777619e-02 2.61640419e-04]\n",
      " [7.44226033e-01 2.51078232e-01 4.69573458e-03]\n",
      " [5.18893068e-01 4.79672462e-01 1.43447031e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[8.04016927e-05 1.70807174e-04 9.99748791e-01]\n",
      " [1.14068858e-03 2.49151224e-03 9.96367799e-01]\n",
      " [9.43869739e-04 1.99221762e-03 9.97063913e-01]\n",
      " [1.77111198e-03 3.86518993e-03 9.94363698e-01]\n",
      " [1.61984690e-04 3.40590827e-04 9.99497424e-01]\n",
      " [5.00401901e-03 1.07974722e-02 9.84198509e-01]\n",
      " [9.55353733e-04 2.02333997e-03 9.97021306e-01]\n",
      " [4.42194064e-06 9.62486586e-06 9.99985953e-01]\n",
      " [5.58219506e-03 1.19229132e-02 9.82494892e-01]\n",
      " [6.95037038e-04 1.52873636e-03 9.97776227e-01]\n",
      " [1.78291723e-03 3.77307782e-03 9.94444005e-01]\n",
      " [2.20092958e-04 4.84242578e-04 9.99295664e-01]\n",
      " [1.54669407e-03 3.34553479e-03 9.95107771e-01]\n",
      " [6.91829433e-03 1.39498774e-02 9.79131828e-01]\n",
      " [1.24441625e-02 2.39436615e-02 9.63612176e-01]\n",
      " [2.19584821e-02 4.21342757e-02 9.35907242e-01]\n",
      " [3.96547672e-03 8.00582295e-03 9.88028700e-01]\n",
      " [7.44471691e-05 1.58959313e-04 9.99766594e-01]\n",
      " [8.98988900e-03 1.93679629e-02 9.71642148e-01]\n",
      " [9.69818844e-04 2.04244730e-03 9.96987734e-01]\n",
      " [1.55627864e-03 3.52918484e-03 9.94914537e-01]\n",
      " [5.93126210e-04 1.26885957e-03 9.98138014e-01]\n",
      " [2.89236044e-03 5.67529435e-03 9.91432345e-01]\n",
      " [7.68305535e-04 1.78946316e-03 9.97442231e-01]\n",
      " [1.63275079e-03 3.79374022e-03 9.94573509e-01]\n",
      " [1.20594160e-03 2.74542576e-03 9.96048633e-01]\n",
      " [9.86318898e-05 2.21196431e-04 9.99680172e-01]\n",
      " [1.78939476e-04 3.87137318e-04 9.99433923e-01]\n",
      " [1.75287864e-04 3.75717132e-04 9.99448995e-01]\n",
      " [8.70620331e-04 1.93376588e-03 9.97195614e-01]\n",
      " [8.98402671e-04 2.01807665e-03 9.97083521e-01]\n",
      " [1.19656417e-03 2.63834860e-03 9.96165087e-01]\n",
      " [4.97162739e-03 9.99306966e-03 9.85035303e-01]\n",
      " [9.91090015e-03 1.93729573e-02 9.70716143e-01]\n",
      " [5.50176431e-04 1.21832467e-03 9.98231499e-01]\n",
      " [6.32112392e-04 1.32354065e-03 9.98044347e-01]\n",
      " [2.15942653e-03 4.49198468e-03 9.93348589e-01]\n",
      " [3.26030302e-04 6.80415728e-04 9.98993554e-01]\n",
      " [4.60934117e-03 9.66314532e-03 9.85727514e-01]\n",
      " [2.45563507e-05 5.35514899e-05 9.99921892e-01]\n",
      " [1.53503090e-04 3.21725630e-04 9.99524771e-01]\n",
      " [1.79985857e-02 3.83242780e-02 9.43677136e-01]\n",
      " [3.27194146e-03 6.80098012e-03 9.89927078e-01]\n",
      " [8.42170709e-04 1.88503224e-03 9.97272797e-01]\n",
      " [3.58829230e-03 8.14988890e-03 9.88261819e-01]\n",
      " [1.39709908e-03 3.05669105e-03 9.95546210e-01]\n",
      " [1.11437853e-03 2.37331491e-03 9.96512307e-01]\n",
      " [1.30916846e-03 2.79529732e-03 9.95895534e-01]\n",
      " [1.09168471e-03 2.31354874e-03 9.96594767e-01]\n",
      " [6.20923468e-05 1.33769327e-04 9.99804138e-01]\n",
      " [5.35686782e-01 4.53499551e-01 1.08136665e-02]\n",
      " [1.31447545e-01 8.64451872e-01 4.10058306e-03]\n",
      " [6.85622112e-01 3.08973181e-01 5.40470698e-03]\n",
      " [9.30827109e-02 8.76269116e-01 3.06481729e-02]\n",
      " [1.27084227e-01 8.70360291e-01 2.55548170e-03]\n",
      " [1.98568063e-02 9.78309840e-01 1.83335376e-03]\n",
      " [2.40917676e-01 7.54889791e-01 4.19253339e-03]\n",
      " [1.35562311e-01 5.59032764e-01 3.05404925e-01]\n",
      " [1.80239557e-01 8.14902234e-01 4.85820880e-03]\n",
      " [1.08199404e-01 8.39419415e-01 5.23811810e-02]\n",
      " [1.55122245e-01 6.37414350e-01 2.07463405e-01]\n",
      " [2.44519803e-02 9.72778995e-01 2.76902488e-03]\n",
      " [1.04729240e-01 8.65536837e-01 2.97339239e-02]\n",
      " [1.20115977e-02 9.87660668e-01 3.27733977e-04]\n",
      " [1.02510993e-01 8.27721396e-01 6.97676118e-02]\n",
      " [2.23097431e-01 7.67912000e-01 8.99056947e-03]\n",
      " [4.00927022e-02 9.56421345e-01 3.48595287e-03]\n",
      " [5.70429982e-02 9.28034046e-01 1.49229553e-02]\n",
      " [1.05768520e-01 8.88301278e-01 5.93020182e-03]\n",
      " [8.38752389e-02 8.80561546e-01 3.55632148e-02]\n",
      " [2.00129596e-01 7.95855938e-01 4.01446635e-03]\n",
      " [4.50285385e-02 9.46910686e-01 8.06077591e-03]\n",
      " [2.11206821e-01 7.85905226e-01 2.88795302e-03]\n",
      " [2.69330896e-02 9.71995686e-01 1.07122490e-03]\n",
      " [5.54373211e-02 9.40820862e-01 3.74181716e-03]\n",
      " [1.49246923e-01 8.44726996e-01 6.02608126e-03]\n",
      " [4.64761683e-01 5.29321500e-01 5.91681692e-03]\n",
      " [8.38685518e-01 1.59471301e-01 1.84318052e-03]\n",
      " [9.57316701e-04 9.98998117e-01 4.45660458e-05]\n",
      " [1.14545072e-01 7.77311393e-01 1.08143536e-01]\n",
      " [1.03147537e-01 8.39417458e-01 5.74350052e-02]\n",
      " [1.13211736e-01 8.04346997e-01 8.24412673e-02]\n",
      " [6.16180593e-02 9.18465805e-01 1.99161362e-02]\n",
      " [2.96936318e-01 7.00128817e-01 2.93486494e-03]\n",
      " [7.58494033e-02 9.15188588e-01 8.96200849e-03]\n",
      " [1.20708911e-01 8.73150983e-01 6.14010665e-03]\n",
      " [4.12874975e-01 5.81539506e-01 5.58551921e-03]\n",
      " [8.61559848e-02 9.07570022e-01 6.27399328e-03]\n",
      " [5.53320552e-02 9.31248086e-01 1.34198592e-02]\n",
      " [7.64043194e-02 8.98880316e-01 2.47153646e-02]\n",
      " [5.65906078e-02 9.34011098e-01 9.39829465e-03]\n",
      " [1.13309440e-02 9.88265168e-01 4.03887641e-04]\n",
      " [5.37198863e-02 9.32165974e-01 1.41141400e-02]\n",
      " [1.37512902e-01 5.79952360e-01 2.82534739e-01]\n",
      " [4.18386422e-02 9.50032632e-01 8.12872624e-03]\n",
      " [4.34204083e-02 9.48145202e-01 8.43438942e-03]\n",
      " [3.28646956e-02 9.61444316e-01 5.69098825e-03]\n",
      " [2.08639552e-02 9.77478804e-01 1.65724045e-03]\n",
      " [1.19698426e-01 4.72775084e-01 4.07526490e-01]\n",
      " [3.97301398e-02 9.51795537e-01 8.47432298e-03]\n",
      " [8.80279086e-01 1.13505796e-01 6.21511769e-03]\n",
      " [3.77851681e-01 6.17252983e-01 4.89533591e-03]\n",
      " [9.33705813e-01 6.30000692e-02 3.29411804e-03]\n",
      " [9.57794780e-01 4.14052321e-02 7.99987926e-04]\n",
      " [9.65801487e-01 3.30136794e-02 1.18483395e-03]\n",
      " [8.08254227e-01 1.74478639e-01 1.72671343e-02]\n",
      " [1.78479649e-01 7.84409644e-01 3.71107067e-02]\n",
      " [8.57320604e-01 1.33190014e-01 9.48938154e-03]\n",
      " [9.15569193e-01 8.17128373e-02 2.71796957e-03]\n",
      " [8.51506938e-01 1.36867736e-01 1.16253260e-02]\n",
      " [9.32795134e-01 6.61890436e-02 1.01582221e-03]\n",
      " [9.42266291e-01 5.70034825e-02 7.30226619e-04]\n",
      " [9.90132400e-01 9.57729465e-03 2.90305615e-04]\n",
      " [3.14665321e-01 6.77995216e-01 7.33946315e-03]\n",
      " [5.83583306e-01 4.07919912e-01 8.49678144e-03]\n",
      " [9.41117405e-01 5.74294171e-02 1.45317747e-03]\n",
      " [9.93719030e-01 6.16231936e-03 1.18650941e-04]\n",
      " [7.65344596e-01 2.08196846e-01 2.64585574e-02]\n",
      " [7.63846203e-01 2.11558988e-01 2.45948094e-02]\n",
      " [2.38405914e-01 7.54954996e-01 6.63908984e-03]\n",
      " [9.52354343e-01 4.55278481e-02 2.11780917e-03]\n",
      " [2.49599802e-01 7.43241914e-01 7.15828391e-03]\n",
      " [7.85218069e-01 1.94365200e-01 2.04167307e-02]\n",
      " [3.96325506e-01 6.01329984e-01 2.34451006e-03]\n",
      " [9.67831339e-01 3.09686615e-02 1.19999991e-03]\n",
      " [8.99441985e-01 9.49402314e-02 5.61778372e-03]\n",
      " [1.91630885e-01 8.06553869e-01 1.81524606e-03]\n",
      " [2.97634605e-01 6.99989028e-01 2.37636657e-03]\n",
      " [9.74121924e-01 2.52598814e-02 6.18194962e-04]\n",
      " [8.98056536e-01 9.72174311e-02 4.72603265e-03]\n",
      " [8.67001890e-01 1.24600500e-01 8.39760962e-03]\n",
      " [7.62724965e-01 2.11031032e-01 2.62440030e-02]\n",
      " [9.65921907e-01 3.31917183e-02 8.86374562e-04]\n",
      " [4.90118517e-01 5.07390803e-01 2.49067968e-03]\n",
      " [6.70426722e-01 3.23774392e-01 5.79888559e-03]\n",
      " [8.32948429e-01 1.53500323e-01 1.35512476e-02]\n",
      " [9.01440700e-01 9.47607127e-02 3.79858700e-03]\n",
      " [9.81228632e-01 1.84222957e-02 3.49072447e-04]\n",
      " [1.47426073e-01 8.50455871e-01 2.11805577e-03]\n",
      " [9.78793729e-01 2.05496918e-02 6.56579238e-04]\n",
      " [9.59614774e-01 3.88447756e-02 1.54045072e-03]\n",
      " [9.19217564e-01 7.82949408e-02 2.48749506e-03]\n",
      " [3.77851681e-01 6.17252983e-01 4.89533591e-03]\n",
      " [9.41500847e-01 5.56882793e-02 2.81087401e-03]\n",
      " [9.27708305e-01 6.88764346e-02 3.41526024e-03]\n",
      " [9.56746339e-01 4.21554643e-02 1.09819671e-03]\n",
      " [5.57093956e-01 4.39554233e-01 3.35181085e-03]\n",
      " [9.83713745e-01 1.60529788e-02 2.33276273e-04]\n",
      " [8.76327887e-01 1.19978638e-01 3.69347480e-03]\n",
      " [4.25714364e-01 5.70549022e-01 3.73661343e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[6.15902932e-05 1.71659957e-04 9.99766750e-01]\n",
      " [9.92659335e-04 2.88650524e-03 9.96120835e-01]\n",
      " [8.01307682e-04 2.22387385e-03 9.96974818e-01]\n",
      " [1.53913410e-03 4.47716804e-03 9.93983698e-01]\n",
      " [1.26574249e-04 3.47914043e-04 9.99525512e-01]\n",
      " [4.34525373e-03 1.23042407e-02 9.83350506e-01]\n",
      " [8.13999032e-04 2.26953587e-03 9.96916465e-01]\n",
      " [3.55282220e-06 1.02488410e-05 9.99986198e-01]\n",
      " [4.83853082e-03 1.36955720e-02 9.81465897e-01]\n",
      " [6.07724171e-04 1.78231734e-03 9.97609958e-01]\n",
      " [1.53314326e-03 4.23389768e-03 9.94232959e-01]\n",
      " [1.94750797e-04 5.70983478e-04 9.99234266e-01]\n",
      " [1.33835858e-03 3.84120665e-03 9.94820435e-01]\n",
      " [5.98269112e-03 1.56383568e-02 9.78378952e-01]\n",
      " [1.08370453e-02 2.62012122e-02 9.62961743e-01]\n",
      " [1.92056854e-02 4.61756388e-02 9.34618676e-01]\n",
      " [3.40844151e-03 8.82943548e-03 9.87762123e-01]\n",
      " [5.87937409e-05 1.65058875e-04 9.99776147e-01]\n",
      " [7.80379030e-03 2.19904056e-02 9.70205804e-01]\n",
      " [8.24545697e-04 2.26730881e-03 9.96908145e-01]\n",
      " [1.37735735e-03 4.18503127e-03 9.94437611e-01]\n",
      " [5.08067068e-04 1.42858677e-03 9.98063346e-01]\n",
      " [2.44978903e-03 6.14527921e-03 9.91404932e-01]\n",
      " [7.07852563e-04 2.24196705e-03 9.97050180e-01]\n",
      " [1.45536155e-03 4.59669531e-03 9.93947943e-01]\n",
      " [1.07343614e-03 3.30106714e-03 9.95625497e-01]\n",
      " [9.68722994e-05 2.91303000e-04 9.99611825e-01]\n",
      " [1.52740576e-04 4.35992862e-04 9.99411267e-01]\n",
      " [1.45829679e-04 4.11330037e-04 9.99442840e-01]\n",
      " [7.66529404e-04 2.28135047e-03 9.96952120e-01]\n",
      " [7.97258386e-04 2.40944232e-03 9.96793299e-01]\n",
      " [1.05084511e-03 3.07687637e-03 9.95872279e-01]\n",
      " [4.27996373e-03 1.10114512e-02 9.84708585e-01]\n",
      " [8.60306319e-03 2.12629886e-02 9.70133948e-01]\n",
      " [4.86138820e-04 1.43960560e-03 9.98074256e-01]\n",
      " [5.27759349e-04 1.44586247e-03 9.98026378e-01]\n",
      " [1.85051287e-03 4.99663486e-03 9.93152852e-01]\n",
      " [2.61871374e-04 7.12794931e-04 9.99025334e-01]\n",
      " [3.98417683e-03 1.09858270e-02 9.85029996e-01]\n",
      " [2.14041374e-05 6.18545049e-05 9.99916741e-01]\n",
      " [1.18871991e-04 3.25656242e-04 9.99555472e-01]\n",
      " [1.56077143e-02 4.41047816e-02 9.40287504e-01]\n",
      " [2.81478778e-03 7.66333052e-03 9.89521882e-01]\n",
      " [7.51851223e-04 2.25515751e-03 9.96992991e-01]\n",
      " [3.14139239e-03 9.56799913e-03 9.87290608e-01]\n",
      " [1.21748703e-03 3.55242543e-03 9.95230088e-01]\n",
      " [9.55271838e-04 2.66563372e-03 9.96379094e-01]\n",
      " [1.12476451e-03 3.17334316e-03 9.95701892e-01]\n",
      " [9.33321811e-04 2.58470945e-03 9.96481969e-01]\n",
      " [5.02846582e-05 1.43133769e-04 9.99806582e-01]\n",
      " [5.28160954e-01 4.56625684e-01 1.52133619e-02]\n",
      " [1.31318167e-01 8.61640029e-01 7.04180370e-03]\n",
      " [6.67363807e-01 3.24006140e-01 8.63005291e-03]\n",
      " [3.99604440e-02 9.41714914e-01 1.83246418e-02]\n",
      " [1.38389762e-01 8.56420440e-01 5.18979789e-03]\n",
      " [5.16943558e-03 9.94077223e-01 7.53341022e-04]\n",
      " [2.37124113e-01 7.55213895e-01 7.66199194e-03]\n",
      " [9.08159369e-02 6.52159579e-01 2.57024484e-01]\n",
      " [1.75363261e-01 8.16596734e-01 8.04000496e-03]\n",
      " [5.15485683e-02 9.14409138e-01 3.40422942e-02]\n",
      " [1.01532581e-01 7.26723961e-01 1.71743458e-01]\n",
      " [7.93612470e-03 9.90664334e-01 1.39954117e-03]\n",
      " [5.29626822e-02 9.26195964e-01 2.08413534e-02]\n",
      " [2.99951858e-02 9.68481916e-01 1.52289795e-03]\n",
      " [4.96282004e-02 9.04635321e-01 4.57364782e-02]\n",
      " [2.04421761e-01 7.82708065e-01 1.28701740e-02]\n",
      " [1.87583460e-02 9.78673419e-01 2.56823521e-03]\n",
      " [1.92089351e-02 9.73577322e-01 7.21374333e-03]\n",
      " [7.34259784e-02 9.20092508e-01 6.48151340e-03]\n",
      " [3.37587623e-02 9.46404616e-01 1.98366214e-02]\n",
      " [1.84570773e-01 8.08624659e-01 6.80456745e-03]\n",
      " [1.63839350e-02 9.79269681e-01 4.34638365e-03]\n",
      " [2.02555030e-01 7.92019224e-01 5.42574548e-03]\n",
      " [2.97580063e-02 9.68206181e-01 2.03581275e-03]\n",
      " [4.32208693e-02 9.52136138e-01 4.64299273e-03]\n",
      " [1.37601001e-01 8.53386999e-01 9.01199978e-03]\n",
      " [4.40316593e-01 5.49979756e-01 9.70365134e-03]\n",
      " [7.69719801e-01 2.25862305e-01 4.41789368e-03]\n",
      " [3.95096290e-03 9.95729165e-01 3.19872441e-04]\n",
      " [6.06032544e-02 8.63605881e-01 7.57908650e-02]\n",
      " [4.78166528e-02 9.16069224e-01 3.61141228e-02]\n",
      " [5.69460082e-02 8.87683151e-01 5.53708411e-02]\n",
      " [2.07251184e-02 9.69745854e-01 9.52902773e-03]\n",
      " [2.69882924e-01 7.24524668e-01 5.59240819e-03]\n",
      " [3.79892627e-02 9.55270806e-01 6.73993170e-03]\n",
      " [1.01715457e-01 8.89948707e-01 8.33583580e-03]\n",
      " [3.93984825e-01 5.96483927e-01 9.53124844e-03]\n",
      " [5.62759700e-02 9.37406540e-01 6.31748970e-03]\n",
      " [1.86495791e-02 9.74788193e-01 6.56222818e-03]\n",
      " [2.83622816e-02 9.58706162e-01 1.29315562e-02]\n",
      " [1.95535160e-02 9.75664367e-01 4.78211735e-03]\n",
      " [2.24257769e-02 9.76147867e-01 1.42635604e-03]\n",
      " [1.61419972e-02 9.77745737e-01 6.11226591e-03]\n",
      " [9.08857473e-02 6.73814141e-01 2.35300112e-01]\n",
      " [1.00790565e-02 9.87029114e-01 2.89182936e-03]\n",
      " [1.34354884e-02 9.82711510e-01 3.85300132e-03]\n",
      " [7.36642217e-03 9.90723300e-01 1.91027766e-03]\n",
      " [1.23399896e-02 9.86090829e-01 1.56918109e-03]\n",
      " [8.36375251e-02 5.61759830e-01 3.54602645e-01]\n",
      " [9.26505441e-03 9.87824448e-01 2.91049746e-03]\n",
      " [9.32692476e-01 6.29373687e-02 4.37015574e-03]\n",
      " [3.25248971e-01 6.66896833e-01 7.85419541e-03]\n",
      " [9.83093253e-01 1.58276372e-02 1.07910935e-03]\n",
      " [9.37644813e-01 6.06215940e-02 1.73359308e-03]\n",
      " [9.89072542e-01 1.04206182e-02 5.06839381e-04]\n",
      " [8.89471963e-01 9.87741739e-02 1.17538627e-02]\n",
      " [1.13257058e-01 8.54733291e-01 3.20096506e-02]\n",
      " [9.28921637e-01 6.52861470e-02 5.79221620e-03]\n",
      " [9.42496194e-01 5.50409451e-02 2.46286098e-03]\n",
      " [9.27481141e-01 6.56440251e-02 6.87483433e-03]\n",
      " [8.81591278e-01 1.15585854e-01 2.82286794e-03]\n",
      " [8.73379048e-01 1.24084774e-01 2.53617815e-03]\n",
      " [9.98956075e-01 1.00103123e-03 4.28934147e-05]\n",
      " [2.60664289e-01 7.29279050e-01 1.00566605e-02]\n",
      " [5.40229625e-01 4.47674164e-01 1.20962114e-02]\n",
      " [9.37614008e-01 6.02110125e-02 2.17497976e-03]\n",
      " [9.78531180e-01 2.08591919e-02 6.09628340e-04]\n",
      " [8.48379526e-01 1.31841146e-01 1.97793278e-02]\n",
      " [8.42980891e-01 1.38178334e-01 1.88407750e-02]\n",
      " [1.95667232e-01 7.95447016e-01 8.88575213e-03]\n",
      " [9.90358460e-01 9.08065725e-03 5.60882581e-04]\n",
      " [2.02246783e-01 7.88165332e-01 9.58788509e-03]\n",
      " [8.65499051e-01 1.19555407e-01 1.49455415e-02]\n",
      " [3.54170995e-01 6.40657602e-01 5.17140262e-03]\n",
      " [9.93754467e-01 5.93207307e-03 3.13460227e-04]\n",
      " [9.60620617e-01 3.65931953e-02 2.78618769e-03]\n",
      " [2.01783346e-01 7.93887098e-01 4.32955575e-03]\n",
      " [2.81858451e-01 7.12935353e-01 5.20619563e-03]\n",
      " [9.73240024e-01 2.58598929e-02 9.00082730e-04]\n",
      " [9.50268743e-01 4.67452907e-02 2.98596648e-03]\n",
      " [9.35859636e-01 5.91403555e-02 5.00000886e-03]\n",
      " [8.44945605e-01 1.35122839e-01 1.99315562e-02]\n",
      " [9.70770847e-01 2.81763377e-02 1.05281560e-03]\n",
      " [4.35248681e-01 5.59310527e-01 5.44079264e-03]\n",
      " [6.40897101e-01 3.50397412e-01 8.70548682e-03]\n",
      " [9.11228131e-01 8.01263558e-02 8.64551279e-03]\n",
      " [9.33238567e-01 6.33926245e-02 3.36880853e-03]\n",
      " [9.61001383e-01 3.79084677e-02 1.09014914e-03]\n",
      " [1.54438160e-01 8.41030382e-01 4.53145766e-03]\n",
      " [9.93145503e-01 6.55930239e-03 2.95194591e-04]\n",
      " [9.87911192e-01 1.14760753e-02 6.12732769e-04]\n",
      " [9.35594077e-01 6.16768262e-02 2.72909730e-03]\n",
      " [3.25248971e-01 6.66896833e-01 7.85419541e-03]\n",
      " [9.86202282e-01 1.29433597e-02 8.54358403e-04]\n",
      " [9.72491172e-01 2.58350740e-02 1.67375422e-03]\n",
      " [9.57391512e-01 4.10770215e-02 1.53146613e-03]\n",
      " [4.84987309e-01 5.08599925e-01 6.41276606e-03]\n",
      " [9.33437505e-01 6.50454567e-02 1.51703822e-03]\n",
      " [8.86483191e-01 1.08933824e-01 4.58298430e-03]\n",
      " [3.74926892e-01 6.18229921e-01 6.84318672e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.32418549e-05 1.59370749e-04 9.99787387e-01]\n",
      " [9.60488735e-04 3.01439479e-03 9.96025116e-01]\n",
      " [7.58835899e-04 2.26608596e-03 9.96975078e-01]\n",
      " [1.48674112e-03 4.67184217e-03 9.93841417e-01]\n",
      " [1.11234523e-04 3.28112301e-04 9.99560653e-01]\n",
      " [4.17132005e-03 1.26719677e-02 9.83156712e-01]\n",
      " [7.72664928e-04 2.31919665e-03 9.96908138e-01]\n",
      " [3.41939414e-06 1.06252252e-05 9.99985955e-01]\n",
      " [4.65121139e-03 1.42092686e-02 9.81139520e-01]\n",
      " [5.90871959e-04 1.87042697e-03 9.97538701e-01]\n",
      " [1.45666349e-03 4.30966992e-03 9.94233667e-01]\n",
      " [1.91434820e-04 6.05736738e-04 9.99202828e-01]\n",
      " [1.28770902e-03 3.98556491e-03 9.94726726e-01]\n",
      " [5.71151636e-03 1.60167485e-02 9.78271735e-01]\n",
      " [1.03432276e-02 2.65077178e-02 9.63149055e-01]\n",
      " [1.84060504e-02 4.68708553e-02 9.34723094e-01]\n",
      " [3.22844656e-03 8.92372556e-03 9.87847828e-01]\n",
      " [5.22670372e-05 1.57710500e-04 9.99790022e-01]\n",
      " [7.49598947e-03 2.26195190e-02 9.69884492e-01]\n",
      " [7.76065390e-04 2.28856825e-03 9.96935366e-01]\n",
      " [1.34609616e-03 4.41252254e-03 9.94241381e-01]\n",
      " [4.81687518e-04 1.45544808e-03 9.98062864e-01]\n",
      " [2.29321023e-03 6.14314330e-03 9.91563646e-01]\n",
      " [7.15370959e-04 2.45808641e-03 9.96826543e-01]\n",
      " [1.43599032e-03 4.92007901e-03 9.93643931e-01]\n",
      " [1.05878271e-03 3.52657747e-03 9.95414640e-01]\n",
      " [1.02453308e-04 3.32994729e-04 9.99564552e-01]\n",
      " [1.44428375e-04 4.43275168e-04 9.99412296e-01]\n",
      " [1.35427330e-04 4.10517333e-04 9.99454055e-01]\n",
      " [7.49557668e-04 2.41234255e-03 9.96838100e-01]\n",
      " [7.84858930e-04 2.56738239e-03 9.96647759e-01]\n",
      " [1.01914893e-03 3.21371676e-03 9.95767134e-01]\n",
      " [4.05770563e-03 1.11288088e-02 9.84813486e-01]\n",
      " [8.19701898e-03 2.15167502e-02 9.70286231e-01]\n",
      " [4.77141048e-04 1.52656539e-03 9.97996294e-01]\n",
      " [4.92525680e-04 1.44908965e-03 9.98058385e-01]\n",
      " [1.75300200e-03 5.06474220e-03 9.93182256e-01]\n",
      " [2.35867612e-04 6.88603635e-04 9.99075529e-01]\n",
      " [3.81609106e-03 1.13324760e-02 9.84851433e-01]\n",
      " [2.08124866e-05 6.47674229e-05 9.99914420e-01]\n",
      " [1.04018053e-04 3.05893806e-04 9.99590088e-01]\n",
      " [1.50114376e-02 4.58287980e-02 9.39159764e-01]\n",
      " [2.68435617e-03 7.86057796e-03 9.89455066e-01]\n",
      " [7.40265884e-04 2.40026723e-03 9.96859467e-01]\n",
      " [3.04662045e-03 1.00197351e-02 9.86933644e-01]\n",
      " [1.17937913e-03 3.71738443e-03 9.95103236e-01]\n",
      " [9.05757141e-04 2.71232319e-03 9.96381920e-01]\n",
      " [1.07550595e-03 3.26996782e-03 9.95654526e-01]\n",
      " [8.82365102e-04 2.61957196e-03 9.96498063e-01]\n",
      " [4.64350690e-05 1.42285787e-04 9.99811279e-01]\n",
      " [5.24432235e-01 4.58841122e-01 1.67266437e-02]\n",
      " [1.32433158e-01 8.59356797e-01 8.21004504e-03]\n",
      " [6.57791812e-01 3.32391106e-01 9.81708174e-03]\n",
      " [3.08993526e-02 9.53591322e-01 1.55093257e-02]\n",
      " [1.40186962e-01 8.53635772e-01 6.17726611e-03]\n",
      " [4.02728251e-03 9.95308985e-01 6.63732652e-04]\n",
      " [2.33563266e-01 7.57511290e-01 8.92544429e-03]\n",
      " [8.06256391e-02 6.76914280e-01 2.42460081e-01]\n",
      " [1.75581353e-01 8.15172675e-01 9.24597241e-03]\n",
      " [4.11826235e-02 9.29180279e-01 2.96370974e-02]\n",
      " [8.94023863e-02 7.49476508e-01 1.61121106e-01]\n",
      " [6.73003279e-03 9.91931662e-01 1.33830493e-03]\n",
      " [4.43133524e-02 9.36670306e-01 1.90163415e-02]\n",
      " [3.47746280e-02 9.63150929e-01 2.07444290e-03]\n",
      " [4.05053314e-02 9.18978452e-01 4.05162162e-02]\n",
      " [2.02110752e-01 7.83540648e-01 1.43486003e-02]\n",
      " [1.61995504e-02 9.81286198e-01 2.51425147e-03]\n",
      " [1.44456781e-02 9.79582916e-01 5.97140626e-03]\n",
      " [6.74350450e-02 9.25834574e-01 6.73038065e-03]\n",
      " [2.58314356e-02 9.57602561e-01 1.65660033e-02]\n",
      " [1.77132618e-01 8.15118050e-01 7.74933161e-03]\n",
      " [1.33758971e-02 9.82683445e-01 3.94065800e-03]\n",
      " [1.96672516e-01 7.97053029e-01 6.27445469e-03]\n",
      " [3.20273464e-02 9.65448935e-01 2.52371899e-03]\n",
      " [4.35168873e-02 9.51200295e-01 5.28281764e-03]\n",
      " [1.37273909e-01 8.52503833e-01 1.02222580e-02]\n",
      " [4.31875819e-01 5.57107203e-01 1.10169786e-02]\n",
      " [7.45048705e-01 2.49458948e-01 5.49234612e-03]\n",
      " [5.76994792e-03 9.93689095e-01 5.40956800e-04]\n",
      " [5.07283727e-02 8.80942034e-01 6.83295935e-02]\n",
      " [3.80821035e-02 9.30701591e-01 3.12163058e-02]\n",
      " [4.66040175e-02 9.04448297e-01 4.89476853e-02]\n",
      " [1.52706508e-02 9.77013982e-01 7.71536710e-03]\n",
      " [2.56403394e-01 7.37129540e-01 6.46706661e-03]\n",
      " [3.18893123e-02 9.61767771e-01 6.34291674e-03]\n",
      " [9.88878760e-02 8.91850823e-01 9.26130087e-03]\n",
      " [3.86807614e-01 6.02253876e-01 1.09385104e-02]\n",
      " [5.19520567e-02 9.41505346e-01 6.54259696e-03]\n",
      " [1.39568733e-02 9.80608223e-01 5.43490368e-03]\n",
      " [2.08978422e-02 9.68641210e-01 1.04609476e-02]\n",
      " [1.44298907e-02 9.81648972e-01 3.92113756e-03]\n",
      " [2.63387882e-02 9.71711303e-01 1.94990862e-03]\n",
      " [1.13942244e-02 9.83848229e-01 4.75754703e-03]\n",
      " [8.03642807e-02 6.98389230e-01 2.21246490e-01]\n",
      " [6.40596920e-03 9.91551188e-01 2.04284274e-03]\n",
      " [1.01464124e-02 9.86621304e-01 3.23228371e-03]\n",
      " [4.88056129e-03 9.93707851e-01 1.41158764e-03]\n",
      " [1.28276464e-02 9.85325751e-01 1.84660234e-03]\n",
      " [7.53381230e-02 5.86419939e-01 3.38241938e-01]\n",
      " [5.95628099e-03 9.91966532e-01 2.07718747e-03]\n",
      " [9.38853402e-01 5.69837208e-02 4.16287723e-03]\n",
      " [3.03592109e-01 6.87624420e-01 8.78347104e-03]\n",
      " [9.90096851e-01 9.23508096e-03 6.68068391e-04]\n",
      " [9.23158990e-01 7.45235144e-02 2.31749575e-03]\n",
      " [9.89591977e-01 9.89441678e-03 5.13606646e-04]\n",
      " [9.08513853e-01 8.13877599e-02 1.00983874e-02]\n",
      " [9.80727152e-02 8.71592934e-01 3.03343512e-02]\n",
      " [9.43929473e-01 5.12877729e-02 4.78275375e-03]\n",
      " [9.43566038e-01 5.38637977e-02 2.57016410e-03]\n",
      " [9.42644685e-01 5.16796204e-02 5.67569445e-03]\n",
      " [8.57025809e-01 1.39208825e-01 3.76536621e-03]\n",
      " [8.43827580e-01 1.52730666e-01 3.44175329e-03]\n",
      " [9.98319804e-01 1.60595495e-03 7.42410679e-05]\n",
      " [2.41008984e-01 7.48179685e-01 1.08113305e-02]\n",
      " [5.14947175e-01 4.71635135e-01 1.34176905e-02]\n",
      " [9.26222864e-01 7.10072507e-02 2.76988534e-03]\n",
      " [9.67772681e-01 3.12280493e-02 9.99269796e-04]\n",
      " [8.69118451e-01 1.13225208e-01 1.76563402e-02]\n",
      " [8.62567473e-01 1.20421491e-01 1.70110364e-02]\n",
      " [1.83083951e-01 8.07387305e-01 9.52874409e-03]\n",
      " [9.94263313e-01 5.38266444e-03 3.54022568e-04]\n",
      " [1.86355538e-01 8.03382510e-01 1.02619522e-02]\n",
      " [8.85125491e-01 1.01655291e-01 1.32192179e-02]\n",
      " [3.35614424e-01 6.58225435e-01 6.16014025e-03]\n",
      " [9.95397023e-01 4.35635653e-03 2.46619981e-04]\n",
      " [9.71690636e-01 2.61956929e-02 2.11367121e-03]\n",
      " [1.96091531e-01 7.98714881e-01 5.19358853e-03]\n",
      " [2.69315844e-01 7.24490704e-01 6.19345196e-03]\n",
      " [9.65655077e-01 3.31041410e-02 1.24078232e-03]\n",
      " [9.59648340e-01 3.77803501e-02 2.57130956e-03]\n",
      " [9.49887498e-01 4.60166265e-02 4.09587590e-03]\n",
      " [8.65827270e-01 1.16305334e-01 1.78673962e-02]\n",
      " [9.64459247e-01 3.41708671e-02 1.36988611e-03]\n",
      " [4.15624982e-01 5.77873905e-01 6.50111249e-03]\n",
      " [6.24044333e-01 3.66177397e-01 9.77827015e-03]\n",
      " [9.28510010e-01 6.42349427e-02 7.25504746e-03]\n",
      " [9.32474978e-01 6.39140773e-02 3.61094522e-03]\n",
      " [9.47585886e-01 5.08138900e-02 1.60022355e-03]\n",
      " [1.50653481e-01 8.43991579e-01 5.35493983e-03]\n",
      " [9.92720483e-01 6.94228124e-03 3.37235593e-04]\n",
      " [9.89405014e-01 1.00241274e-02 5.70858682e-04]\n",
      " [9.31967327e-01 6.49374267e-02 3.09524599e-03]\n",
      " [3.03592109e-01 6.87624420e-01 8.78347104e-03]\n",
      " [9.91510713e-01 7.93378772e-03 5.55499770e-04]\n",
      " [9.77379759e-01 2.11663109e-02 1.45393050e-03]\n",
      " [9.49342695e-01 4.86945172e-02 1.96278775e-03]\n",
      " [4.57282651e-01 5.35227429e-01 7.48991995e-03]\n",
      " [9.08994323e-01 8.87161415e-02 2.28953581e-03]\n",
      " [8.77375658e-01 1.17339653e-01 5.28468896e-03]\n",
      " [3.53124258e-01 6.38967102e-01 7.90864056e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.12366753e-05 1.55372672e-04 9.99793391e-01]\n",
      " [9.52788049e-04 3.03219603e-03 9.96015016e-01]\n",
      " [7.48857050e-04 2.26673302e-03 9.96984410e-01]\n",
      " [1.47403649e-03 4.69838774e-03 9.93827576e-01]\n",
      " [1.07537824e-04 3.21327823e-04 9.99571134e-01]\n",
      " [4.12450156e-03 1.26904284e-02 9.83185070e-01]\n",
      " [7.62774063e-04 2.32109127e-03 9.96916135e-01]\n",
      " [3.41602901e-06 1.07593218e-05 9.99985825e-01]\n",
      " [4.60482932e-03 1.42690840e-02 9.81126087e-01]\n",
      " [5.86908014e-04 1.88386365e-03 9.97529228e-01]\n",
      " [1.43643981e-03 4.30290333e-03 9.94260657e-01]\n",
      " [1.90696958e-04 6.11883676e-04 9.99197419e-01]\n",
      " [1.27554255e-03 4.00280342e-03 9.94721654e-01]\n",
      " [5.64471674e-03 1.60393913e-02 9.78315892e-01]\n",
      " [1.02166910e-02 2.64597995e-02 9.63323510e-01]\n",
      " [1.82002545e-02 4.68368627e-02 9.34962883e-01]\n",
      " [3.18185353e-03 8.89987717e-03 9.87918269e-01]\n",
      " [5.06720595e-05 1.54922674e-04 9.99794405e-01]\n",
      " [7.41455676e-03 2.26485898e-02 9.69936853e-01]\n",
      " [7.63433064e-04 2.28030105e-03 9.96956266e-01]\n",
      " [1.33686967e-03 4.44193574e-03 9.94221195e-01]\n",
      " [4.74677864e-04 1.45329321e-03 9.98072029e-01]\n",
      " [2.25490366e-03 6.11508975e-03 9.91630007e-01]\n",
      " [7.16439076e-04 2.49846007e-03 9.96785101e-01]\n",
      " [1.43019685e-03 4.97332320e-03 9.93596480e-01]\n",
      " [1.05495478e-03 3.56497667e-03 9.95380069e-01]\n",
      " [1.03744891e-04 3.42012224e-04 9.99554243e-01]\n",
      " [1.42200268e-04 4.42196248e-04 9.99415603e-01]\n",
      " [1.32828943e-04 4.07925219e-04 9.99459246e-01]\n",
      " [7.45494049e-04 2.43395243e-03 9.96820554e-01]\n",
      " [7.81866499e-04 2.59483780e-03 9.96623296e-01]\n",
      " [1.01026180e-03 3.22857525e-03 9.95761163e-01]\n",
      " [4.00033499e-03 1.11001669e-02 9.84899498e-01]\n",
      " [8.09220421e-03 2.14755718e-02 9.70432224e-01]\n",
      " [4.75096340e-04 1.54160155e-03 9.97983302e-01]\n",
      " [4.84202894e-04 1.44331278e-03 9.98072484e-01]\n",
      " [1.72788483e-03 5.05332597e-03 9.93218789e-01]\n",
      " [2.29626296e-04 6.79033332e-04 9.99091340e-01]\n",
      " [3.77476570e-03 1.13660343e-02 9.84859200e-01]\n",
      " [2.06640303e-05 6.51742392e-05 9.99914162e-01]\n",
      " [1.00525001e-04 2.99490913e-04 9.99599984e-01]\n",
      " [1.48632675e-02 4.60378137e-02 9.39098919e-01]\n",
      " [2.65248382e-03 7.87366342e-03 9.89473853e-01]\n",
      " [7.36678813e-04 2.42313345e-03 9.96840188e-01]\n",
      " [3.01999082e-03 1.00719464e-02 9.86908063e-01]\n",
      " [1.17020602e-03 3.74119099e-03 9.95088603e-01]\n",
      " [8.92681688e-04 2.70773738e-03 9.96399581e-01]\n",
      " [1.06376169e-03 3.27930784e-03 9.95656930e-01]\n",
      " [8.68925332e-04 2.61229499e-03 9.96518780e-01]\n",
      " [4.56228269e-05 1.41686860e-04 9.99812690e-01]\n",
      " [5.20861099e-01 4.62084893e-01 1.70540085e-02]\n",
      " [1.30543384e-01 8.61051642e-01 8.40497404e-03]\n",
      " [6.52216274e-01 3.37683798e-01 1.00999274e-02]\n",
      " [2.95024547e-02 9.55328339e-01 1.51692060e-02]\n",
      " [1.37767025e-01 8.55905229e-01 6.32774605e-03]\n",
      " [3.82687799e-03 9.95521554e-01 6.51567734e-04]\n",
      " [2.28817234e-01 7.62044909e-01 9.13785691e-03]\n",
      " [7.87787341e-02 6.80399171e-01 2.40822095e-01]\n",
      " [1.73293535e-01 8.17251108e-01 9.45535709e-03]\n",
      " [3.95133441e-02 9.31384024e-01 2.91026323e-02]\n",
      " [8.72139925e-02 7.52907126e-01 1.59878881e-01]\n",
      " [6.57025116e-03 9.92080993e-01 1.34875628e-03]\n",
      " [4.30024985e-02 9.38119947e-01 1.88775548e-02]\n",
      " [3.44761957e-02 9.63379092e-01 2.14471272e-03]\n",
      " [3.91953114e-02 9.20729712e-01 4.00749771e-02]\n",
      " [1.99757881e-01 7.85613136e-01 1.46289830e-02]\n",
      " [1.55338226e-02 9.81973077e-01 2.49310005e-03]\n",
      " [1.39204837e-02 9.80177995e-01 5.90152108e-03]\n",
      " [6.54462636e-02 9.27808448e-01 6.74528867e-03]\n",
      " [2.47647457e-02 9.58980490e-01 1.62547640e-02]\n",
      " [1.71835428e-01 8.20294602e-01 7.86996968e-03]\n",
      " [1.30746933e-02 9.82965883e-01 3.95942373e-03]\n",
      " [1.91425076e-01 8.02185780e-01 6.38914401e-03]\n",
      " [3.17376336e-02 9.65667962e-01 2.59440400e-03]\n",
      " [4.32400525e-02 9.51341664e-01 5.41828389e-03]\n",
      " [1.35643624e-01 8.53914763e-01 1.04416131e-02]\n",
      " [4.26123811e-01 5.62593280e-01 1.12829094e-02]\n",
      " [7.35143062e-01 2.59081107e-01 5.77583055e-03]\n",
      " [5.85063462e-03 9.93579323e-01 5.70042117e-04]\n",
      " [4.93024797e-02 8.82966814e-01 6.77307066e-02]\n",
      " [3.66594613e-02 9.32628370e-01 3.07121683e-02]\n",
      " [4.50694414e-02 9.06613736e-01 4.83168221e-02]\n",
      " [1.46448947e-02 9.77769096e-01 7.58600887e-03]\n",
      " [2.48151842e-01 7.45258163e-01 6.58999478e-03]\n",
      " [3.05373372e-02 9.63198628e-01 6.26403460e-03]\n",
      " [9.68923167e-02 8.93704045e-01 9.40363794e-03]\n",
      " [3.81077547e-01 6.07703883e-01 1.12185699e-02]\n",
      " [5.07433664e-02 9.42672508e-01 6.58412566e-03]\n",
      " [1.33587625e-02 9.81296735e-01 5.34450219e-03]\n",
      " [1.98404261e-02 9.69977526e-01 1.01820477e-02]\n",
      " [1.36400308e-02 9.82548153e-01 3.81181624e-03]\n",
      " [2.62892855e-02 9.71685830e-01 2.02488424e-03]\n",
      " [1.08568335e-02 9.84491487e-01 4.65167971e-03]\n",
      " [7.84836767e-02 7.01839520e-01 2.19676803e-01]\n",
      " [5.96046158e-03 9.92084642e-01 1.95489691e-03]\n",
      " [9.77649708e-03 9.87021027e-01 3.20247547e-03]\n",
      " [4.62104620e-03 9.94003171e-01 1.37578236e-03]\n",
      " [1.28923869e-02 9.85190707e-01 1.91690648e-03]\n",
      " [7.37945909e-02 5.89721704e-01 3.36483705e-01]\n",
      " [5.60532774e-03 9.92384945e-01 2.00972753e-03]\n",
      " [9.39266083e-01 5.65864930e-02 4.14742382e-03]\n",
      " [2.93683546e-01 6.97395384e-01 8.92107001e-03]\n",
      " [9.91497580e-01 7.92602347e-03 5.76396372e-04]\n",
      " [9.17484551e-01 8.00114910e-02 2.50395779e-03]\n",
      " [9.89215881e-01 1.02495470e-02 5.34571507e-04]\n",
      " [9.12813652e-01 7.75304718e-02 9.65587591e-03]\n",
      " [9.46654495e-02 8.75319912e-01 3.00146383e-02]\n",
      " [9.47235013e-01 4.82453704e-02 4.51961634e-03]\n",
      " [9.42911094e-01 5.44766270e-02 2.61227862e-03]\n",
      " [9.45834948e-01 4.87845189e-02 5.38053295e-03]\n",
      " [8.47736428e-01 1.48216799e-01 4.04677290e-03]\n",
      " [8.32991533e-01 1.63301774e-01 3.70669237e-03]\n",
      " [9.97935685e-01 1.97252224e-03 9.17922678e-05]\n",
      " [2.33021449e-01 7.56087285e-01 1.08912659e-02]\n",
      " [5.04220297e-01 4.82063748e-01 1.37159549e-02]\n",
      " [9.21323134e-01 7.57063573e-02 2.97050849e-03]\n",
      " [9.63823372e-01 3.50463441e-02 1.13028430e-03]\n",
      " [8.73810656e-01 1.09110938e-01 1.70784061e-02]\n",
      " [8.66955729e-01 1.16535057e-01 1.65092146e-02]\n",
      " [1.77774337e-01 8.12633373e-01 9.59228994e-03]\n",
      " [9.94904704e-01 4.77925508e-03 3.16040744e-04]\n",
      " [1.79793690e-01 8.09892576e-01 1.03137339e-02]\n",
      " [8.89577119e-01 9.76763888e-02 1.27464923e-02]\n",
      " [3.25083260e-01 6.68587114e-01 6.32962517e-03]\n",
      " [9.95504701e-01 4.25306914e-03 2.42230329e-04]\n",
      " [9.74066130e-01 2.39873829e-02 1.94648702e-03]\n",
      " [1.89679189e-01 8.05014527e-01 5.30628437e-03]\n",
      " [2.60535555e-01 7.33119332e-01 6.34511311e-03]\n",
      " [9.62488045e-01 3.61501248e-02 1.36183011e-03]\n",
      " [9.61583514e-01 3.59536547e-02 2.46283093e-03]\n",
      " [9.52972070e-01 4.31673497e-02 3.86057996e-03]\n",
      " [8.70602738e-01 1.12102468e-01 1.72947936e-02]\n",
      " [9.61628922e-01 3.68855139e-02 1.48556365e-03]\n",
      " [4.04908099e-01 5.88383934e-01 6.70796694e-03]\n",
      " [6.16003973e-01 3.73961301e-01 1.00347257e-02]\n",
      " [9.32373431e-01 6.07373920e-02 6.88917698e-03]\n",
      " [9.30758032e-01 6.55238037e-02 3.71816436e-03]\n",
      " [9.42546612e-01 5.56860375e-02 1.76735095e-03]\n",
      " [1.45740968e-01 8.48809845e-01 5.44918685e-03]\n",
      " [9.92276026e-01 7.36372194e-03 3.60252082e-04]\n",
      " [9.89299335e-01 1.01213578e-02 5.79307104e-04]\n",
      " [9.29720258e-01 6.70613272e-02 3.21841532e-03]\n",
      " [2.93683546e-01 6.97395384e-01 8.92107001e-03]\n",
      " [9.92437365e-01 7.06553619e-03 4.97099298e-04]\n",
      " [9.77962125e-01 2.06152582e-02 1.42261663e-03]\n",
      " [9.45903912e-01 5.19870085e-02 2.10907943e-03]\n",
      " [4.44981077e-01 5.47310436e-01 7.70848662e-03]\n",
      " [9.00259354e-01 9.72101796e-02 2.53046644e-03]\n",
      " [8.72579676e-01 1.21903057e-01 5.51726754e-03]\n",
      " [3.42245894e-01 6.49658969e-01 8.09513748e-03]]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08693484e-05 1.54559558e-04 9.99794571e-01]\n",
      " [9.49363872e-04 3.02741630e-03 9.96023220e-01]\n",
      " [7.45806190e-04 2.26208458e-03 9.96992109e-01]\n",
      " [1.46862601e-03 4.69098048e-03 9.93840394e-01]\n",
      " [1.06832110e-04 3.19846339e-04 9.99573322e-01]\n",
      " [4.10763567e-03 1.26638148e-02 9.83228550e-01]\n",
      " [7.59651626e-04 2.31642862e-03 9.96923920e-01]\n",
      " [3.40781192e-06 1.07548678e-05 9.99985837e-01]\n",
      " [4.58742501e-03 1.42454632e-02 9.81167112e-01]\n",
      " [5.84887126e-04 1.88113547e-03 9.97533977e-01]\n",
      " [1.43021202e-03 4.29235203e-03 9.94277436e-01]\n",
      " [1.90097349e-04 6.11216779e-04 9.99198686e-01]\n",
      " [1.27079634e-03 3.99593466e-03 9.94733269e-01]\n",
      " [5.62323711e-03 1.60109306e-02 9.78365832e-01]\n",
      " [1.01783008e-02 2.64058268e-02 9.63415872e-01]\n",
      " [1.81341247e-02 4.67525214e-02 9.35113354e-01]\n",
      " [3.16831682e-03 8.87892379e-03 9.87952759e-01]\n",
      " [5.03474187e-05 1.54235657e-04 9.99795417e-01]\n",
      " [7.38512156e-03 2.26014067e-02 9.70013472e-01]\n",
      " [7.59893011e-04 2.27423928e-03 9.96965868e-01]\n",
      " [1.33191850e-03 4.43405347e-03 9.94234028e-01]\n",
      " [4.72533234e-04 1.44966584e-03 9.98077801e-01]\n",
      " [2.24511222e-03 6.10041726e-03 9.91654471e-01]\n",
      " [7.14381700e-04 2.49659737e-03 9.96789021e-01]\n",
      " [1.42532075e-03 4.96688978e-03 9.93607789e-01]\n",
      " [1.05154172e-03 3.56068080e-03 9.95387777e-01]\n",
      " [1.03582884e-04 3.42192067e-04 9.99554225e-01]\n",
      " [1.41537764e-04 4.40992760e-04 9.99417469e-01]\n",
      " [1.32167679e-04 4.06679546e-04 9.99461153e-01]\n",
      " [7.42990395e-04 2.43085996e-03 9.96826150e-01]\n",
      " [7.79361491e-04 2.59189897e-03 9.96628740e-01]\n",
      " [1.00634682e-03 3.22243366e-03 9.95771220e-01]\n",
      " [3.98363007e-03 1.10745380e-02 9.84941832e-01]\n",
      " [8.06055820e-03 2.14303755e-02 9.70509066e-01]\n",
      " [4.73579078e-04 1.53980758e-03 9.97986613e-01]\n",
      " [4.82028790e-04 1.43963787e-03 9.98078333e-01]\n",
      " [1.72047130e-03 5.04093545e-03 9.93238593e-01]\n",
      " [2.28327790e-04 6.76511424e-04 9.99095161e-01]\n",
      " [3.76031419e-03 1.13463091e-02 9.84893377e-01]\n",
      " [2.05875200e-05 6.50611018e-05 9.99914351e-01]\n",
      " [9.98678606e-05 2.98123733e-04 9.99602008e-01]\n",
      " [1.48084415e-02 4.59675437e-02 9.39224015e-01]\n",
      " [2.64205487e-03 7.85906722e-03 9.89498878e-01]\n",
      " [7.34092620e-04 2.41986317e-03 9.96846044e-01]\n",
      " [3.00802082e-03 1.00533135e-02 9.86938666e-01]\n",
      " [1.16600570e-03 3.73551936e-03 9.95098475e-01]\n",
      " [8.88718324e-04 2.70103458e-03 9.96410247e-01]\n",
      " [1.05964365e-03 3.27338376e-03 9.95666973e-01]\n",
      " [8.65000746e-04 2.60547330e-03 9.96529526e-01]\n",
      " [4.54183042e-05 1.41331465e-04 9.99813250e-01]\n",
      " [5.17809164e-01 4.65063737e-01 1.71270992e-02]\n",
      " [1.28577585e-01 8.63028490e-01 8.39392428e-03]\n",
      " [6.48287620e-01 3.41531078e-01 1.01813020e-02]\n",
      " [2.94039209e-02 9.55341522e-01 1.52545571e-02]\n",
      " [1.35311929e-01 8.58378137e-01 6.30993469e-03]\n",
      " [3.77381454e-03 9.95575973e-01 6.50212795e-04]\n",
      " [2.25124851e-01 7.65740046e-01 9.13510346e-03]\n",
      " [7.84973456e-02 6.79997577e-01 2.41505078e-01]\n",
      " [1.70982454e-01 8.19564463e-01 9.45308335e-03]\n",
      " [3.93638723e-02 9.31392204e-01 2.92439239e-02]\n",
      " [8.68952009e-02 7.52763092e-01 1.60341707e-01]\n",
      " [6.53014975e-03 9.92113639e-01 1.35621162e-03]\n",
      " [4.28736910e-02 9.38143892e-01 1.89824172e-02]\n",
      " [3.35856943e-02 9.64292982e-01 2.12132405e-03]\n",
      " [3.91421000e-02 9.20504364e-01 4.03535362e-02]\n",
      " [1.97669092e-01 7.87686039e-01 1.46448688e-02]\n",
      " [1.52762283e-02 9.82242031e-01 2.48174094e-03]\n",
      " [1.39730311e-02 9.80046976e-01 5.97999320e-03]\n",
      " [6.44883400e-02 9.28786482e-01 6.72517783e-03]\n",
      " [2.47702638e-02 9.58829124e-01 1.64006126e-02]\n",
      " [1.68476341e-01 8.23680567e-01 7.84309218e-03]\n",
      " [1.30913862e-02 9.82903408e-01 4.00520603e-03]\n",
      " [1.87744234e-01 8.05886174e-01 6.36959244e-03]\n",
      " [3.11244992e-02 9.66296787e-01 2.57871407e-03]\n",
      " [4.27767323e-02 9.51799778e-01 5.42349011e-03]\n",
      " [1.33989279e-01 8.55568774e-01 1.04419465e-02]\n",
      " [4.21852909e-01 5.66820189e-01 1.13269022e-02]\n",
      " [7.29660625e-01 2.64472008e-01 5.86736681e-03]\n",
      " [5.65381247e-03 9.93787584e-01 5.58603170e-04]\n",
      " [4.92434882e-02 8.82593017e-01 6.81634948e-02]\n",
      " [3.66058069e-02 9.32473868e-01 3.09203249e-02]\n",
      " [4.49976315e-02 9.06384780e-01 4.86175887e-02]\n",
      " [1.47005830e-02 9.77613289e-01 7.68612774e-03]\n",
      " [2.43131553e-01 7.50291998e-01 6.57644973e-03]\n",
      " [3.01527265e-02 9.63592525e-01 6.25474807e-03]\n",
      " [9.54728848e-02 8.95140585e-01 9.38653023e-03]\n",
      " [3.76719252e-01 6.12024027e-01 1.12567214e-02]\n",
      " [5.01606887e-02 9.43258566e-01 6.58074517e-03]\n",
      " [1.33611902e-02 9.81239655e-01 5.39915454e-03]\n",
      " [1.98149384e-02 9.69921597e-01 1.02634642e-02]\n",
      " [1.35656505e-02 9.82604048e-01 3.83030188e-03]\n",
      " [2.56825051e-02 9.72310654e-01 2.00684076e-03]\n",
      " [1.09087899e-02 9.84372145e-01 4.71906476e-03]\n",
      " [7.82116474e-02 7.01453777e-01 2.20334576e-01]\n",
      " [5.98081473e-03 9.92037217e-01 1.98196869e-03]\n",
      " [9.79559743e-03 9.86962432e-01 3.24197082e-03]\n",
      " [4.65056213e-03 9.93950030e-01 1.39940812e-03]\n",
      " [1.27795549e-02 9.85297549e-01 1.92289565e-03]\n",
      " [7.35231836e-02 5.89153802e-01 3.37323015e-01]\n",
      " [5.65086198e-03 9.92302231e-01 2.04690722e-03]\n",
      " [9.39180059e-01 5.66796966e-02 4.14024421e-03]\n",
      " [2.88534572e-01 7.02548775e-01 8.91665306e-03]\n",
      " [9.91915035e-01 7.53843907e-03 5.46526177e-04]\n",
      " [9.14845172e-01 8.25832569e-02 2.57157142e-03]\n",
      " [9.89015297e-01 1.04422491e-02 5.42453473e-04]\n",
      " [9.14036931e-01 7.64609682e-02 9.50210039e-03]\n",
      " [9.38172459e-02 8.76167732e-01 3.00150217e-02]\n",
      " [9.48150845e-01 4.74181806e-02 4.43097453e-03]\n",
      " [9.42322460e-01 5.50478725e-02 2.62966707e-03]\n",
      " [9.46750873e-01 4.79713094e-02 5.27781804e-03]\n",
      " [8.43273395e-01 1.52581735e-01 4.14487031e-03]\n",
      " [8.27884770e-01 1.68317135e-01 3.79809460e-03]\n",
      " [9.97761386e-01 2.13945079e-03 9.91628101e-05]\n",
      " [2.29202420e-01 7.59927926e-01 1.08696547e-02]\n",
      " [4.99142070e-01 4.87074705e-01 1.37832256e-02]\n",
      " [9.19087183e-01 7.78713150e-02 3.04150239e-03]\n",
      " [9.62059976e-01 3.67601245e-02 1.17989946e-03]\n",
      " [8.75121709e-01 1.08004311e-01 1.68739802e-02]\n",
      " [8.68162216e-01 1.15507115e-01 1.63306686e-02]\n",
      " [1.75014621e-01 8.15417808e-01 9.56757167e-03]\n",
      " [9.95088546e-01 4.60777528e-03 3.03678324e-04]\n",
      " [1.76622433e-01 8.13098039e-01 1.02795281e-02]\n",
      " [8.90810267e-01 9.66084852e-02 1.25812474e-02]\n",
      " [3.18659782e-01 6.75004129e-01 6.33608895e-03]\n",
      " [9.95500519e-01 4.25785424e-03 2.41626722e-04]\n",
      " [9.74730999e-01 2.33771671e-02 1.89183420e-03]\n",
      " [1.85181513e-01 8.09536226e-01 5.28226180e-03]\n",
      " [2.54940366e-01 7.38723365e-01 6.33626888e-03]\n",
      " [9.61094578e-01 3.74994369e-02 1.40598486e-03]\n",
      " [9.61999951e-01 3.55703081e-02 2.42974082e-03]\n",
      " [9.53822592e-01 4.23955856e-02 3.78182284e-03]\n",
      " [8.71910920e-01 1.10995242e-01 1.70938377e-02]\n",
      " [9.60374928e-01 3.80977613e-02 1.52731067e-03]\n",
      " [3.98243365e-01 5.95021265e-01 6.73537035e-03]\n",
      " [6.11551026e-01 3.78344392e-01 1.01045819e-02]\n",
      " [9.33473474e-01 5.97632845e-02 6.76324204e-03]\n",
      " [9.29819603e-01 6.64254241e-02 3.75497327e-03]\n",
      " [9.40251860e-01 5.79188057e-02 1.82933411e-03]\n",
      " [1.42284973e-01 8.52298522e-01 5.41650548e-03]\n",
      " [9.92035032e-01 7.59481051e-03 3.70157297e-04]\n",
      " [9.89199290e-01 1.02180629e-02 5.82647420e-04]\n",
      " [9.28474725e-01 6.82614835e-02 3.26379166e-03]\n",
      " [2.88534572e-01 7.02548775e-01 8.91665306e-03]\n",
      " [9.92713368e-01 6.80915330e-03 4.77479120e-04]\n",
      " [9.78062428e-01 2.05259244e-02 1.41164796e-03]\n",
      " [9.44305934e-01 5.35317115e-02 2.16235436e-03]\n",
      " [4.38338066e-01 5.53916052e-01 7.74588266e-03]\n",
      " [8.96298188e-01 1.01084714e-01 2.61709801e-03]\n",
      " [8.70226750e-01 1.24176804e-01 5.59644642e-03]\n",
      " [3.36204483e-01 6.55688459e-01 8.10705777e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08253297e-05 1.54441530e-04 9.99794733e-01]\n",
      " [9.47378633e-04 3.02119690e-03 9.96031424e-01]\n",
      " [7.44461249e-04 2.25819435e-03 9.96997344e-01]\n",
      " [1.46557554e-03 4.68146884e-03 9.93852956e-01]\n",
      " [1.06724193e-04 3.19561233e-04 9.99573715e-01]\n",
      " [4.09945681e-03 1.26409682e-02 9.83259575e-01]\n",
      " [7.58244279e-04 2.31238640e-03 9.96929369e-01]\n",
      " [3.39986932e-06 1.07305598e-05 9.99985870e-01]\n",
      " [4.57845941e-03 1.42185812e-02 9.81202959e-01]\n",
      " [5.83629574e-04 1.87714211e-03 9.97539228e-01]\n",
      " [1.42760588e-03 4.28512504e-03 9.94287269e-01]\n",
      " [1.89662240e-04 6.09855894e-04 9.99200482e-01]\n",
      " [1.26825500e-03 3.98810064e-03 9.94743644e-01]\n",
      " [5.61350185e-03 1.59850615e-02 9.78401437e-01]\n",
      " [1.01621816e-02 2.63703314e-02 9.63467487e-01]\n",
      " [1.81046728e-02 4.66919069e-02 9.35203420e-01]\n",
      " [3.16296652e-03 8.86579542e-03 9.87971238e-01]\n",
      " [5.02857681e-05 1.54063400e-04 9.99795651e-01]\n",
      " [7.37070182e-03 2.25614061e-02 9.70067892e-01]\n",
      " [7.58570086e-04 2.27063231e-03 9.96970798e-01]\n",
      " [1.32890442e-03 4.42422526e-03 9.94246870e-01]\n",
      " [4.71649167e-04 1.44716008e-03 9.98081191e-01]\n",
      " [2.24176970e-03 6.09234041e-03 9.91665890e-01]\n",
      " [7.12450135e-04 2.48992207e-03 9.96797628e-01]\n",
      " [1.42185364e-03 4.95487363e-03 9.93623273e-01]\n",
      " [1.04904799e-03 3.55220765e-03 9.95398744e-01]\n",
      " [1.03264810e-04 3.41163486e-04 9.99555572e-01]\n",
      " [1.41276814e-04 4.40219276e-04 9.99418504e-01]\n",
      " [1.31950504e-04 4.06046546e-04 9.99462003e-01]\n",
      " [7.41320571e-04 2.42548613e-03 9.96833193e-01]\n",
      " [7.77542331e-04 2.58588811e-03 9.96636570e-01]\n",
      " [1.00418313e-03 3.21580474e-03 9.95780012e-01]\n",
      " [3.97699423e-03 1.10583570e-02 9.84964649e-01]\n",
      " [8.04740790e-03 2.14007407e-02 9.70551851e-01]\n",
      " [4.72501664e-04 1.53634868e-03 9.97991150e-01]\n",
      " [4.81243176e-04 1.43741866e-03 9.98081338e-01]\n",
      " [1.71747703e-03 5.03281985e-03 9.93249703e-01]\n",
      " [2.28044748e-04 6.75750703e-04 9.99096205e-01]\n",
      " [3.75324683e-03 1.13259829e-02 9.84920770e-01]\n",
      " [2.05420829e-05 6.49220620e-05 9.99914536e-01]\n",
      " [9.97690408e-05 2.97864617e-04 9.99602366e-01]\n",
      " [1.47805971e-02 4.58841434e-02 9.39335260e-01]\n",
      " [2.63723095e-03 7.84554724e-03 9.89517222e-01]\n",
      " [7.32344318e-04 2.41435772e-03 9.96853298e-01]\n",
      " [3.00131908e-03 1.00321763e-02 9.86966505e-01]\n",
      " [1.16353636e-03 3.72777806e-03 9.95108686e-01]\n",
      " [8.87091250e-04 2.69646526e-03 9.96416443e-01]\n",
      " [1.05760038e-03 3.26732086e-03 9.95675079e-01]\n",
      " [8.63460696e-04 2.60118100e-03 9.96535358e-01]\n",
      " [4.53432975e-05 1.41108008e-04 9.99813549e-01]\n",
      " [5.15630339e-01 4.67221947e-01 1.71477147e-02]\n",
      " [1.27163895e-01 8.64476819e-01 8.35928527e-03]\n",
      " [6.45631859e-01 3.44153365e-01 1.02147762e-02]\n",
      " [2.94915792e-02 9.55139820e-01 1.53686006e-02]\n",
      " [1.33561898e-01 8.60162370e-01 6.27573255e-03]\n",
      " [3.75717422e-03 9.95591680e-01 6.51146139e-04]\n",
      " [2.22650517e-01 7.68243367e-01 9.10611591e-03]\n",
      " [7.84869353e-02 6.79238226e-01 2.42274839e-01]\n",
      " [1.69308464e-01 8.21267976e-01 9.42355938e-03]\n",
      " [3.94452072e-02 9.31124214e-01 2.94305790e-02]\n",
      " [8.68965035e-02 7.52221277e-01 1.60882219e-01]\n",
      " [6.51462380e-03 9.92124585e-01 1.36079144e-03]\n",
      " [4.29138525e-02 9.38003318e-01 1.90828295e-02]\n",
      " [3.28988551e-02 9.65007576e-01 2.09356911e-03]\n",
      " [3.92487814e-02 9.20117629e-01 4.06335895e-02]\n",
      " [1.96175849e-01 7.89203447e-01 1.46207037e-02]\n",
      " [1.51539389e-02 9.82369538e-01 2.47652289e-03]\n",
      " [1.40724048e-02 9.79876324e-01 6.05127107e-03]\n",
      " [6.39419102e-02 9.29350877e-01 6.70721299e-03]\n",
      " [2.48983463e-02 9.58543650e-01 1.65580033e-02]\n",
      " [1.66401979e-01 8.25790568e-01 7.80745343e-03]\n",
      " [1.31310942e-02 9.82830849e-01 4.03805718e-03]\n",
      " [1.85362781e-01 8.08297506e-01 6.33971374e-03]\n",
      " [3.06546173e-02 9.66788551e-01 2.55683202e-03]\n",
      " [4.24063617e-02 9.52185175e-01 5.40846314e-03]\n",
      " [1.32781323e-01 8.56806069e-01 1.04126083e-02]\n",
      " [4.18947447e-01 5.69722333e-01 1.13302199e-02]\n",
      " [7.26276387e-01 2.67815106e-01 5.90850676e-03]\n",
      " [5.48671987e-03 9.93967458e-01 5.45822514e-04]\n",
      " [4.93555835e-02 8.82059507e-01 6.85849096e-02]\n",
      " [3.67286648e-02 9.32117995e-01 3.11533407e-02]\n",
      " [4.51171467e-02 9.05942089e-01 4.89407645e-02]\n",
      " [1.48150429e-02 9.77402560e-01 7.78239674e-03]\n",
      " [2.40059785e-01 7.53389044e-01 6.55117123e-03]\n",
      " [3.00126621e-02 9.63727604e-01 6.25973435e-03]\n",
      " [9.45494357e-02 8.96095644e-01 9.35492050e-03]\n",
      " [3.73750341e-01 6.14996689e-01 1.12529700e-02]\n",
      " [4.98160158e-02 9.43612118e-01 6.57186607e-03]\n",
      " [1.34332354e-02 9.81111450e-01 5.45531480e-03]\n",
      " [1.99210688e-02 9.69712770e-01 1.03661611e-02]\n",
      " [1.36029064e-02 9.82536635e-01 3.86045875e-03]\n",
      " [2.51923626e-02 9.72825045e-01 1.98259255e-03]\n",
      " [1.10112746e-02 9.84202290e-01 4.78643506e-03]\n",
      " [7.82123581e-02 7.00713924e-01 2.21073718e-01]\n",
      " [6.05156629e-03 9.91932702e-01 2.01573163e-03]\n",
      " [9.85267710e-03 9.86869667e-01 3.27765548e-03]\n",
      " [4.70498477e-03 9.93871717e-01 1.42329786e-03]\n",
      " [1.26689331e-02 9.85413413e-01 1.91765402e-03]\n",
      " [7.34824919e-02 5.88286690e-01 3.38230818e-01]\n",
      " [5.72876859e-03 9.92185495e-01 2.08573646e-03]\n",
      " [9.39099573e-01 5.67666444e-02 4.13378258e-03]\n",
      " [2.85591605e-01 7.05510652e-01 8.89774248e-03]\n",
      " [9.92092772e-01 7.37428576e-03 5.32942544e-04]\n",
      " [9.13384793e-01 8.40116491e-02 2.60355811e-03]\n",
      " [9.88913313e-01 1.05411639e-02 5.45522874e-04]\n",
      " [9.14521707e-01 7.60484513e-02 9.42984193e-03]\n",
      " [9.35593423e-02 8.76377211e-01 3.00634465e-02]\n",
      " [9.48500657e-01 4.71087674e-02 4.39057522e-03]\n",
      " [9.41920199e-01 5.54410658e-02 2.63873477e-03]\n",
      " [9.47128769e-01 4.76427738e-02 5.22845687e-03]\n",
      " [8.40724746e-01 1.55084583e-01 4.19067067e-03]\n",
      " [8.25009307e-01 1.71150372e-01 3.84032155e-03]\n",
      " [9.97666836e-01 2.23021344e-03 1.02950198e-04]\n",
      " [2.27111530e-01 7.62043651e-01 1.08448191e-02]\n",
      " [4.96373717e-01 4.89824310e-01 1.38019728e-02]\n",
      " [9.17878664e-01 7.90474432e-02 3.07389326e-03]\n",
      " [9.61091541e-01 3.77041024e-02 1.20435624e-03]\n",
      " [8.75630519e-01 1.07592874e-01 1.67766075e-02]\n",
      " [8.68625036e-01 1.15129907e-01 1.62450564e-02]\n",
      " [1.73420597e-01 8.17038238e-01 9.54116464e-03]\n",
      " [9.95169196e-01 4.53306196e-03 2.97742360e-04]\n",
      " [1.74883811e-01 8.14867932e-01 1.02482574e-02]\n",
      " [8.91281406e-01 9.62149832e-02 1.25036111e-02]\n",
      " [3.14677504e-01 6.79001744e-01 6.32075268e-03]\n",
      " [9.95490625e-01 4.26805786e-03 2.41317311e-04]\n",
      " [9.74986673e-01 2.31456863e-02 1.86764096e-03]\n",
      " [1.82299420e-01 8.12451388e-01 5.24919239e-03]\n",
      " [2.51452429e-01 7.42236729e-01 6.31084139e-03]\n",
      " [9.60360035e-01 3.82135244e-02 1.42644085e-03]\n",
      " [9.62091180e-01 3.54919579e-02 2.41686241e-03]\n",
      " [9.54143005e-01 4.21106740e-02 3.74632129e-03]\n",
      " [8.72397742e-01 1.10602508e-01 1.69997499e-02]\n",
      " [9.59717894e-01 3.87358296e-02 1.54627685e-03]\n",
      " [3.94052612e-01 5.99214921e-01 6.73246710e-03]\n",
      " [6.08890157e-01 3.80979172e-01 1.01306710e-02]\n",
      " [9.33907191e-01 5.93880727e-02 6.70473630e-03]\n",
      " [9.29298361e-01 6.69316085e-02 3.77003008e-03]\n",
      " [9.38985069e-01 5.91556097e-02 1.85932102e-03]\n",
      " [1.40087969e-01 8.54532868e-01 5.37916307e-03]\n",
      " [9.91889239e-01 7.73524746e-03 3.75513384e-04]\n",
      " [9.89144021e-01 1.02723697e-02 5.83609069e-04]\n",
      " [9.27720328e-01 6.89937024e-02 3.28596959e-03]\n",
      " [2.85591605e-01 7.05510652e-01 8.89774248e-03]\n",
      " [9.92839344e-01 6.69286170e-03 4.67794453e-04]\n",
      " [9.78093791e-01 2.05009299e-02 1.40527875e-03]\n",
      " [9.43420434e-01 5.43919115e-02 2.18765494e-03]\n",
      " [4.34398972e-01 5.57850979e-01 7.75004909e-03]\n",
      " [8.94102109e-01 1.03239547e-01 2.65834422e-03]\n",
      " [8.68926280e-01 1.25442704e-01 5.63101619e-03]\n",
      " [3.32630833e-01 6.59274473e-01 8.09469338e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08347863e-05 1.54448859e-04 9.99794716e-01]\n",
      " [9.46158461e-04 3.01669507e-03 9.96037146e-01]\n",
      " [7.43724254e-04 2.25558341e-03 9.97000692e-01]\n",
      " [1.46371990e-03 4.67459002e-03 9.93861690e-01]\n",
      " [1.06722729e-04 3.19516203e-04 9.99573761e-01]\n",
      " [4.09478941e-03 1.26256659e-02 9.83279545e-01]\n",
      " [7.57465399e-04 2.30965299e-03 9.96932882e-01]\n",
      " [3.39430668e-06 1.07111802e-05 9.99985895e-01]\n",
      " [4.57319677e-03 1.41994801e-02 9.81227323e-01]\n",
      " [5.82838047e-04 1.87420821e-03 9.97542954e-01]\n",
      " [1.42622582e-03 4.28055968e-03 9.94293214e-01]\n",
      " [1.89376103e-04 6.08822471e-04 9.99201801e-01]\n",
      " [1.26673786e-03 3.98253559e-03 9.94750727e-01]\n",
      " [5.60810658e-03 1.59674026e-02 9.78424491e-01]\n",
      " [1.01535967e-02 2.63481924e-02 9.63498211e-01]\n",
      " [1.80884867e-02 4.66530992e-02 9.35258414e-01]\n",
      " [3.16022306e-03 8.85772101e-03 9.87982056e-01]\n",
      " [5.02754327e-05 1.54010466e-04 9.99795714e-01]\n",
      " [7.36242350e-03 2.25347164e-02 9.70102860e-01]\n",
      " [7.57917252e-04 2.26845212e-03 9.96973631e-01]\n",
      " [1.32702841e-03 4.41719059e-03 9.94255781e-01]\n",
      " [4.71185917e-04 1.44557204e-03 9.98083242e-01]\n",
      " [2.24021640e-03 6.08756454e-03 9.91672219e-01]\n",
      " [7.11109600e-04 2.48469253e-03 9.96804198e-01]\n",
      " [1.41959156e-03 4.94583532e-03 9.93634573e-01]\n",
      " [1.04740704e-03 3.54580196e-03 9.95406791e-01]\n",
      " [1.03022296e-04 3.40298824e-04 9.99556679e-01]\n",
      " [1.41144130e-04 4.39741248e-04 9.99419115e-01]\n",
      " [1.31853356e-04 4.05687491e-04 9.99462459e-01]\n",
      " [7.40247863e-04 2.42146267e-03 9.96838289e-01]\n",
      " [7.76346315e-04 2.58132426e-03 9.96642329e-01]\n",
      " [1.00288168e-03 3.21116492e-03 9.95785953e-01]\n",
      " [3.97357968e-03 1.10483709e-02 9.84978049e-01]\n",
      " [8.04045267e-03 2.13822541e-02 9.70577293e-01]\n",
      " [4.71797008e-04 1.53373508e-03 9.97994468e-01]\n",
      " [4.80861348e-04 1.43606129e-03 9.98083077e-01]\n",
      " [1.71592115e-03 5.02775876e-03 9.93256320e-01]\n",
      " [2.27971454e-04 6.75446270e-04 9.99096582e-01]\n",
      " [3.74918803e-03 1.13117733e-02 9.84939039e-01]\n",
      " [2.05141937e-05 6.48230853e-05 9.99914663e-01]\n",
      " [9.97687698e-05 2.97825468e-04 9.99602406e-01]\n",
      " [1.47643541e-02 4.58245458e-02 9.39411100e-01]\n",
      " [2.63452985e-03 7.83628008e-03 9.89529190e-01]\n",
      " [7.31221012e-04 2.41026308e-03 9.96858516e-01]\n",
      " [2.99726713e-03 1.00172367e-02 9.86985496e-01]\n",
      " [1.16201176e-03 3.72213742e-03 9.95115851e-01]\n",
      " [8.86239543e-04 2.69357899e-03 9.96420181e-01]\n",
      " [1.05641778e-03 3.26308591e-03 9.95680496e-01]\n",
      " [8.62676307e-04 2.59854046e-03 9.96538783e-01]\n",
      " [4.53062585e-05 1.40968919e-04 9.99813725e-01]\n",
      " [5.14196993e-01 4.68647243e-01 1.71557639e-02]\n",
      " [1.26241778e-01 8.65426213e-01 8.33200933e-03]\n",
      " [6.43912598e-01 3.45854919e-01 1.02324828e-02]\n",
      " [2.95757475e-02 9.54971956e-01 1.54522967e-02]\n",
      " [1.32424292e-01 8.61326013e-01 6.24969520e-03]\n",
      " [3.75086210e-03 9.95596898e-01 6.52239656e-04]\n",
      " [2.21071343e-01 7.69846071e-01 9.08258609e-03]\n",
      " [7.85120708e-02 6.78664311e-01 2.42823618e-01]\n",
      " [1.68210836e-01 8.22389861e-01 9.39930295e-03]\n",
      " [3.95308388e-02 9.30901563e-01 2.95675986e-02]\n",
      " [8.69360060e-02 7.51793875e-01 1.61270119e-01]\n",
      " [6.50685600e-03 9.92129470e-01 1.36367377e-03]\n",
      " [4.29605695e-02 9.37887433e-01 1.91519978e-02]\n",
      " [3.24477718e-02 9.65478455e-01 2.07377343e-03]\n",
      " [3.93416116e-02 9.19829267e-01 4.08291212e-02]\n",
      " [1.95196859e-01 7.90204667e-01 1.45984733e-02]\n",
      " [1.50872651e-02 9.82438742e-01 2.47399324e-03]\n",
      " [1.41466375e-02 9.79753321e-01 6.10004103e-03]\n",
      " [6.36113637e-02 9.29693615e-01 6.69502140e-03]\n",
      " [2.50021163e-02 9.58328421e-01 1.66694626e-02]\n",
      " [1.65120399e-01 8.27097827e-01 7.78177473e-03]\n",
      " [1.31601569e-02 9.82780755e-01 4.05908822e-03]\n",
      " [1.83862854e-01 8.09819510e-01 6.31763605e-03]\n",
      " [3.03453652e-02 9.67113798e-01 2.54083650e-03]\n",
      " [4.21561997e-02 9.52448675e-01 5.39512576e-03]\n",
      " [1.31986278e-01 8.57625637e-01 1.03880844e-02]\n",
      " [4.17070049e-01 5.71602496e-01 1.13274549e-02]\n",
      " [7.24150642e-01 2.69918168e-01 5.93118989e-03]\n",
      " [5.37534960e-03 9.94087800e-01 5.36850052e-04]\n",
      " [4.94527621e-02 8.81670591e-01 6.88766467e-02]\n",
      " [3.68353218e-02 9.31845328e-01 3.13193500e-02]\n",
      " [4.52228565e-02 9.05607996e-01 4.91691478e-02]\n",
      " [1.49012897e-02 9.77249670e-01 7.84904067e-03]\n",
      " [2.38165256e-01 7.55302498e-01 6.53224607e-03]\n",
      " [2.99475620e-02 9.63786832e-01 6.26560592e-03]\n",
      " [9.39670717e-02 8.96701742e-01 9.33118630e-03]\n",
      " [3.71833645e-01 6.16921305e-01 1.12450508e-02]\n",
      " [4.96029764e-02 9.43832168e-01 6.56485567e-03]\n",
      " [1.34921096e-02 9.81012942e-01 5.49494869e-03]\n",
      " [2.00114811e-02 9.69547542e-01 1.04409768e-02]\n",
      " [1.36435258e-02 9.82473120e-01 3.88335382e-03]\n",
      " [2.48665148e-02 9.73168510e-01 1.96497487e-03]\n",
      " [1.10884725e-02 9.84078042e-01 4.83348539e-03]\n",
      " [7.82453621e-02 7.00154389e-01 2.21600249e-01]\n",
      " [6.10760139e-03 9.91851983e-01 2.04041532e-03]\n",
      " [9.89704447e-03 9.86800761e-01 3.30219416e-03]\n",
      " [4.74622005e-03 9.93813623e-01 1.44015737e-03]\n",
      " [1.25908959e-02 9.85496663e-01 1.91244142e-03]\n",
      " [7.34812632e-02 5.87646354e-01 3.38872383e-01]\n",
      " [5.78720198e-03 9.92099578e-01 2.11322005e-03]\n",
      " [9.39049174e-01 5.68217611e-02 4.12906439e-03]\n",
      " [2.83822425e-01 7.07294539e-01 8.88303594e-03]\n",
      " [9.92187654e-01 7.28688205e-03 5.25464121e-04]\n",
      " [9.12508195e-01 8.48703098e-02 2.62149526e-03]\n",
      " [9.88855859e-01 1.05971487e-02 5.46992383e-04]\n",
      " [9.14770535e-01 7.58401065e-02 9.38935856e-03]\n",
      " [9.34561234e-02 8.76439128e-01 3.01047481e-02]\n",
      " [9.48675553e-01 4.69561236e-02 4.36832300e-03]\n",
      " [9.41661338e-01 5.56945969e-02 2.64406560e-03]\n",
      " [9.47328295e-01 4.74712674e-02 5.20043722e-03]\n",
      " [8.39170365e-01 1.56613325e-01 4.21631063e-03]\n",
      " [8.23268808e-01 1.72867410e-01 3.86378199e-03]\n",
      " [9.97609860e-01 2.28496204e-03 1.05177980e-04]\n",
      " [2.25877158e-01 7.63295286e-01 1.08275554e-02]\n",
      " [4.94737581e-01 4.91453251e-01 1.38091676e-02]\n",
      " [9.17160961e-01 7.97473307e-02 3.09170865e-03]\n",
      " [9.60508666e-01 3.82729324e-02 1.21840166e-03]\n",
      " [8.75888293e-01 1.07390000e-01 1.67217072e-02]\n",
      " [8.68858648e-01 1.14944785e-01 1.61965666e-02]\n",
      " [1.72456706e-01 8.18020478e-01 9.52281512e-03]\n",
      " [9.95213293e-01 4.49233716e-03 2.94369374e-04]\n",
      " [1.73858447e-01 8.15914185e-01 1.02273682e-02]\n",
      " [8.91517564e-01 9.60222926e-02 1.24601432e-02]\n",
      " [3.12200816e-01 6.81491823e-01 6.30736107e-03]\n",
      " [9.95483284e-01 4.27559277e-03 2.41123480e-04]\n",
      " [9.75114364e-01 2.30310762e-02 1.85456016e-03]\n",
      " [1.80494098e-01 8.14280806e-01 5.22509600e-03]\n",
      " [2.49285276e-01 7.44423588e-01 6.29113616e-03]\n",
      " [9.59928847e-01 3.86334055e-02 1.43774763e-03]\n",
      " [9.62112117e-01 3.54773515e-02 2.41053106e-03]\n",
      " [9.54301204e-01 4.19718805e-02 3.72691550e-03]\n",
      " [8.72636270e-01 1.10416441e-01 1.69472890e-02]\n",
      " [9.59334062e-01 3.91093073e-02 1.55663060e-03]\n",
      " [3.91428304e-01 6.01845026e-01 6.72666948e-03]\n",
      " [6.07253883e-01 3.82602585e-01 1.01435325e-02]\n",
      " [9.34128297e-01 5.91994933e-02 6.67220937e-03]\n",
      " [9.28989323e-01 6.72329947e-02 3.77768215e-03]\n",
      " [9.38222747e-01 5.99008883e-02 1.87636507e-03]\n",
      " [1.38718936e-01 8.55928306e-01 5.35275776e-03]\n",
      " [9.91797396e-01 7.82384584e-03 3.78758435e-04]\n",
      " [9.89111985e-01 1.03040822e-02 5.83932362e-04]\n",
      " [9.27249317e-01 6.94519435e-02 3.29873925e-03]\n",
      " [2.83822425e-01 7.07294539e-01 8.88303594e-03]\n",
      " [9.92910057e-01 6.62774937e-03 4.62193891e-04]\n",
      " [9.78109173e-01 2.04895379e-02 1.40128878e-03]\n",
      " [9.42886697e-01 5.49113715e-02 2.20193137e-03]\n",
      " [4.31983282e-01 5.60267836e-01 7.74888221e-03]\n",
      " [8.92776872e-01 1.04541489e-01 2.68163863e-03]\n",
      " [8.68150588e-01 1.26199886e-01 5.64952585e-03]\n",
      " [3.30450836e-01 6.61465959e-01 8.08320549e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08480837e-05 1.54470170e-04 9.99794682e-01]\n",
      " [9.45399866e-04 3.01376940e-03 9.96040831e-01]\n",
      " [7.43284087e-04 2.25392230e-03 9.97002794e-01]\n",
      " [1.46257016e-03 4.67011944e-03 9.93867310e-01]\n",
      " [1.06734957e-04 3.19515600e-04 9.99573749e-01]\n",
      " [4.09195994e-03 1.26159438e-02 9.83292096e-01]\n",
      " [7.56998521e-04 2.30790988e-03 9.96935092e-01]\n",
      " [3.39072160e-06 1.06983076e-05 9.99985911e-01]\n",
      " [4.56997526e-03 1.41871242e-02 9.81242900e-01]\n",
      " [5.82342184e-04 1.87229392e-03 9.97545364e-01]\n",
      " [1.42541262e-03 4.27771225e-03 9.94296875e-01]\n",
      " [1.89194444e-04 6.08142307e-04 9.99202663e-01]\n",
      " [1.26580363e-03 3.97893720e-03 9.94755259e-01]\n",
      " [5.60487111e-03 1.59561087e-02 9.78439020e-01]\n",
      " [1.01485223e-02 2.63344460e-02 9.63517032e-01]\n",
      " [1.80788020e-02 4.66287938e-02 9.35292404e-01]\n",
      " [3.15862713e-03 8.85272880e-03 9.87988644e-01]\n",
      " [5.02746203e-05 1.53988894e-04 9.99795736e-01]\n",
      " [7.35739274e-03 2.25177842e-02 9.70124823e-01]\n",
      " [7.57543832e-04 2.26711183e-03 9.96975344e-01]\n",
      " [1.32585752e-03 4.41263540e-03 9.94261507e-01]\n",
      " [4.70914207e-04 1.44458027e-03 9.98084506e-01]\n",
      " [2.23935173e-03 6.08464871e-03 9.91676000e-01]\n",
      " [7.10245543e-04 2.48122482e-03 9.96808530e-01]\n",
      " [1.41815901e-03 4.93990135e-03 9.93641940e-01]\n",
      " [1.04636511e-03 3.54159157e-03 9.95412043e-01]\n",
      " [1.02862129e-04 3.39715952e-04 9.99557422e-01]\n",
      " [1.41067310e-04 4.39445349e-04 9.99419487e-01]\n",
      " [1.31800353e-04 4.05471926e-04 9.99462728e-01]\n",
      " [7.39571618e-04 2.41882390e-03 9.96841604e-01]\n",
      " [7.75587075e-04 2.57832061e-03 9.96646092e-01]\n",
      " [1.00207847e-03 3.20817923e-03 9.95789742e-01]\n",
      " [3.97159034e-03 1.10421883e-02 9.84986221e-01]\n",
      " [8.03635383e-03 2.13707711e-02 9.70592875e-01]\n",
      " [4.71350369e-04 1.53201723e-03 9.97996632e-01]\n",
      " [4.80644329e-04 1.43522324e-03 9.98084132e-01]\n",
      " [1.71501116e-03 5.02461570e-03 9.93260373e-01]\n",
      " [2.27946219e-04 6.75292002e-04 9.99096762e-01]\n",
      " [3.74672231e-03 1.13026233e-02 9.84950654e-01]\n",
      " [2.04968949e-05 6.47591588e-05 9.99914744e-01]\n",
      " [9.97808460e-05 2.97826385e-04 9.99602393e-01]\n",
      " [1.47544316e-02 4.57859359e-02 9.39459633e-01]\n",
      " [2.63290384e-03 7.83034617e-03 9.89536750e-01]\n",
      " [7.30513037e-04 2.40758307e-03 9.96861904e-01]\n",
      " [2.99476186e-03 1.00075927e-02 9.86997645e-01]\n",
      " [1.16106255e-03 3.71846473e-03 9.95120473e-01]\n",
      " [8.85740062e-04 2.69177822e-03 9.96422482e-01]\n",
      " [1.05569730e-03 3.26035987e-03 9.95683943e-01]\n",
      " [8.62221471e-04 2.59690788e-03 9.96540871e-01]\n",
      " [4.52850699e-05 1.40882592e-04 9.99813832e-01]\n",
      " [5.13285023e-01 4.69555151e-01 1.71598260e-02]\n",
      " [1.25659083e-01 8.66027068e-01 8.31384878e-03]\n",
      " [6.42823732e-01 3.46933352e-01 1.02429153e-02]\n",
      " [2.96341432e-02 9.54858720e-01 1.55071366e-02]\n",
      " [1.31706458e-01 8.62061040e-01 6.23250220e-03]\n",
      " [3.74794704e-03 9.95598990e-01 6.53063109e-04]\n",
      " [2.20080263e-01 7.70852929e-01 9.06680783e-03]\n",
      " [7.85338429e-02 6.78286498e-01 2.43179660e-01]\n",
      " [1.67515424e-01 8.23101609e-01 9.38296659e-03]\n",
      " [3.95912737e-02 9.30751319e-01 2.96574068e-02]\n",
      " [8.69681787e-02 7.51509480e-01 1.61522341e-01]\n",
      " [6.50248074e-03 9.92132019e-01 1.36550004e-03]\n",
      " [4.29937090e-02 9.37809878e-01 1.91964131e-02]\n",
      " [3.21632752e-02 9.65775751e-01 2.06097410e-03]\n",
      " [3.94045174e-02 9.19640206e-01 4.09552762e-02]\n",
      " [1.94575923e-01 7.90840963e-01 1.45831148e-02]\n",
      " [1.50480876e-02 9.82479274e-01 2.47263799e-03]\n",
      " [1.41952623e-02 9.79673395e-01 6.13134233e-03]\n",
      " [6.34076969e-02 9.29905052e-01 6.68725114e-03]\n",
      " [2.50714829e-02 9.58186803e-01 1.67417142e-02]\n",
      " [1.64326115e-01 8.27908763e-01 7.76512186e-03]\n",
      " [1.31789466e-02 9.82748765e-01 4.07228796e-03]\n",
      " [1.82926396e-01 8.10770418e-01 6.30318666e-03]\n",
      " [3.01499847e-02 9.67319595e-01 2.53042064e-03]\n",
      " [4.19962306e-02 9.52617788e-01 5.38598151e-03]\n",
      " [1.31481818e-01 8.58146685e-01 1.03714968e-02]\n",
      " [4.15883935e-01 5.72791336e-01 1.13247285e-02]\n",
      " [7.22817124e-01 2.71238118e-01 5.94475779e-03]\n",
      " [5.30501857e-03 9.94163889e-01 5.31092005e-04]\n",
      " [4.95184239e-02 8.81417321e-01 6.90642550e-02]\n",
      " [3.69076790e-02 9.31665203e-01 3.14271176e-02]\n",
      " [4.52947655e-02 9.05388234e-01 4.93170003e-02]\n",
      " [1.49579185e-02 9.77150125e-01 7.89195652e-03]\n",
      " [2.36991172e-01 7.56488998e-01 6.51982993e-03]\n",
      " [2.99119619e-02 9.63818090e-01 6.26994773e-03]\n",
      " [9.36034166e-02 8.97080960e-01 9.31562351e-03]\n",
      " [3.70623580e-01 6.18137469e-01 1.12389512e-02]\n",
      " [4.94705020e-02 9.43969312e-01 6.56018599e-03]\n",
      " [1.35316493e-02 9.80947686e-01 5.52066520e-03]\n",
      " [2.00727366e-02 9.69437348e-01 1.04899157e-02]\n",
      " [1.36725236e-02 9.82428934e-01 3.89854209e-03]\n",
      " [2.46602021e-02 9.73386273e-01 1.95352539e-03]\n",
      " [1.11392050e-02 9.83996917e-01 4.86387810e-03]\n",
      " [7.82722087e-02 6.99786028e-01 2.21941763e-01]\n",
      " [6.14504400e-03 9.91798343e-01 2.05661316e-03]\n",
      " [9.92648731e-03 9.86755512e-01 3.31800042e-03]\n",
      " [4.77346978e-03 9.93775416e-01 1.45111414e-03]\n",
      " [1.25404286e-02 9.85550777e-01 1.90879390e-03]\n",
      " [7.34850620e-02 5.87227592e-01 3.39287346e-01]\n",
      " [5.82566395e-03 9.92043260e-01 2.13107591e-03]\n",
      " [9.39018249e-01 5.68557943e-02 4.12595721e-03]\n",
      " [2.82735561e-01 7.08391121e-01 8.87331731e-03]\n",
      " [9.92243591e-01 7.23540071e-03 5.21008635e-04]\n",
      " [9.11966831e-01 8.54008745e-02 2.63229412e-03]\n",
      " [9.88821281e-01 1.06309016e-02 5.47817313e-04]\n",
      " [9.14915297e-01 7.57196823e-02 9.36502063e-03]\n",
      " [9.34040070e-02 8.76462985e-01 3.01330085e-02]\n",
      " [9.48776065e-01 4.68688937e-02 4.35504136e-03]\n",
      " [9.41497847e-01 5.58548160e-02 2.64733716e-03]\n",
      " [9.47445741e-01 4.73707468e-02 5.18351267e-03]\n",
      " [8.38204471e-01 1.57563782e-01 4.23174674e-03]\n",
      " [8.22190944e-01 1.73931206e-01 3.87784927e-03]\n",
      " [9.97574365e-01 2.31908219e-03 1.06552915e-04]\n",
      " [2.25124066e-01 7.64059423e-01 1.08165108e-02]\n",
      " [4.93737061e-01 4.92450177e-01 1.38127627e-02]\n",
      " [9.16719358e-01 8.01782822e-02 3.10236022e-03]\n",
      " [9.60147563e-01 3.86254884e-02 1.22694908e-03]\n",
      " [8.76037421e-01 1.07273955e-01 1.66886248e-02]\n",
      " [8.68993768e-01 1.14838951e-01 1.61672815e-02]\n",
      " [1.71863304e-01 8.18625647e-01 9.51104885e-03]\n",
      " [9.95239511e-01 4.46815111e-03 2.92337808e-04]\n",
      " [1.73233480e-01 8.16552355e-01 1.02141647e-02]\n",
      " [8.91653584e-01 9.59123991e-02 1.24340170e-02]\n",
      " [3.10659670e-01 6.83042109e-01 6.29822068e-03]\n",
      " [9.95478365e-01 4.28062724e-03 2.41008136e-04]\n",
      " [9.75187536e-01 2.29656424e-02 1.84682163e-03]\n",
      " [1.79369818e-01 8.15420794e-01 5.20938798e-03]\n",
      " [2.47938483e-01 7.45783439e-01 6.27807841e-03]\n",
      " [9.59664635e-01 3.88908477e-02 1.44451724e-03]\n",
      " [9.62117492e-01 3.54755530e-02 2.40695477e-03]\n",
      " [9.54391518e-01 4.18931071e-02 3.71537444e-03]\n",
      " [8.72772047e-01 1.10312122e-01 1.69158314e-02]\n",
      " [9.59099401e-01 3.93378016e-02 1.56279713e-03]\n",
      " [3.89790141e-01 6.03487638e-01 6.72222114e-03]\n",
      " [6.06237954e-01 3.83611180e-01 1.01508668e-02]\n",
      " [9.34256388e-01 5.90908843e-02 6.65272766e-03]\n",
      " [9.28799779e-01 6.74181188e-02 3.78210236e-03]\n",
      " [9.37750927e-01 6.03623834e-02 1.88669000e-03]\n",
      " [1.37868506e-01 8.56795781e-01 5.33571297e-03]\n",
      " [9.91739353e-01 7.87986292e-03 3.80784365e-04]\n",
      " [9.89092432e-01 1.03234861e-02 5.84081568e-04]\n",
      " [9.26953941e-01 6.97395243e-02 3.30653512e-03]\n",
      " [2.82735561e-01 7.08391121e-01 8.87331731e-03]\n",
      " [9.92952660e-01 6.58855034e-03 4.58790056e-04]\n",
      " [9.78118032e-01 2.04831734e-02 1.39879492e-03]\n",
      " [9.42556083e-01 5.52333510e-02 2.21056568e-03]\n",
      " [4.30485744e-01 5.61766878e-01 7.74737828e-03]\n",
      " [8.91955855e-01 1.05348432e-01 2.69571271e-03]\n",
      " [8.67673330e-01 1.26666205e-01 5.66046450e-03]\n",
      " [3.29103905e-01 6.62820806e-01 8.07528962e-03]]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08578938e-05 1.54487009e-04 9.99794655e-01]\n",
      " [9.44927347e-04 3.01192354e-03 9.96043149e-01]\n",
      " [7.43013605e-04 2.25288152e-03 9.97004105e-01]\n",
      " [1.46185479e-03 4.66729867e-03 9.93870847e-01]\n",
      " [1.06745271e-04 3.19521073e-04 9.99573734e-01]\n",
      " [4.09021186e-03 1.26098540e-02 9.83299934e-01]\n",
      " [7.56711256e-04 2.30681680e-03 9.96936472e-01]\n",
      " [3.38846638e-06 1.06901419e-05 9.99985921e-01]\n",
      " [4.56797882e-03 1.41793395e-02 9.81252682e-01]\n",
      " [5.82032553e-04 1.87108464e-03 9.97546883e-01]\n",
      " [1.42491513e-03 4.27593977e-03 9.94299145e-01]\n",
      " [1.89080526e-04 6.07711447e-04 9.99203208e-01]\n",
      " [1.26522355e-03 3.97667057e-03 9.94758106e-01]\n",
      " [5.60287991e-03 1.59490190e-02 9.78448101e-01]\n",
      " [1.01454140e-02 2.63259024e-02 9.63528684e-01]\n",
      " [1.80728441e-02 4.66136420e-02 9.35313514e-01]\n",
      " [3.15765521e-03 8.84963042e-03 9.87992714e-01]\n",
      " [5.02752704e-05 1.53977910e-04 9.99795747e-01]\n",
      " [7.35428195e-03 2.25071839e-02 9.70138534e-01]\n",
      " [7.57317825e-04 2.26628159e-03 9.96976401e-01]\n",
      " [1.32512717e-03 4.40976462e-03 9.94265108e-01]\n",
      " [4.70748272e-04 1.44396261e-03 9.98085289e-01]\n",
      " [2.23883375e-03 6.08284697e-03 9.91678319e-01]\n",
      " [7.09701074e-04 2.47902292e-03 9.96811276e-01]\n",
      " [1.41726132e-03 4.93614502e-03 9.93646594e-01]\n",
      " [1.04571167e-03 3.53892556e-03 9.95415363e-01]\n",
      " [1.02760455e-04 3.39343977e-04 9.99557896e-01]\n",
      " [1.41020620e-04 4.39261648e-04 9.99419718e-01]\n",
      " [1.31768856e-04 4.05339550e-04 9.99462892e-01]\n",
      " [7.39148489e-04 2.41715413e-03 9.96843697e-01]\n",
      " [7.75110959e-04 2.57641791e-03 9.96648471e-01]\n",
      " [1.00157932e-03 3.20630139e-03 9.95792119e-01]\n",
      " [3.97037815e-03 1.10383491e-02 9.84991273e-01]\n",
      " [8.03384586e-03 2.13636328e-02 9.70602521e-01]\n",
      " [4.71070428e-04 1.53092952e-03 9.97998000e-01]\n",
      " [4.80513326e-04 1.43470351e-03 9.98084783e-01]\n",
      " [1.71445595e-03 5.02266219e-03 9.93262882e-01]\n",
      " [2.27934667e-04 6.75203548e-04 9.99096862e-01]\n",
      " [3.74519815e-03 1.12968668e-02 9.84957935e-01]\n",
      " [2.04861331e-05 6.47189206e-05 9.99914795e-01]\n",
      " [9.97908871e-05 2.97832366e-04 9.99602377e-01]\n",
      " [1.47482861e-02 4.57615978e-02 9.39490116e-01]\n",
      " [2.63190186e-03 7.82661986e-03 9.89541478e-01]\n",
      " [7.30070069e-04 2.40588819e-03 9.96864042e-01]\n",
      " [2.99320398e-03 1.00015204e-02 9.87005276e-01]\n",
      " [1.16047102e-03 3.71614611e-03 9.95123383e-01]\n",
      " [8.85435023e-04 2.69065707e-03 9.96423908e-01]\n",
      " [1.05525153e-03 3.25864518e-03 9.95686103e-01]\n",
      " [8.61944813e-04 2.59589463e-03 9.96542161e-01]\n",
      " [4.52722577e-05 1.40828988e-04 9.99813899e-01]\n",
      " [5.12712420e-01 4.70125422e-01 1.71621585e-02]\n",
      " [1.25294786e-01 8.66402916e-01 8.30229864e-03]\n",
      " [6.42140801e-01 3.47609906e-01 1.02492925e-02]\n",
      " [2.96717348e-02 9.54786372e-01 1.55418929e-02]\n",
      " [1.31257953e-01 8.62520454e-01 6.22159301e-03]\n",
      " [3.74639629e-03 9.95599988e-01 6.53616013e-04]\n",
      " [2.19461871e-01 7.71481385e-01 9.05674453e-03]\n",
      " [7.85485832e-02 6.78047025e-01 2.43404392e-01]\n",
      " [1.67080125e-01 8.23547341e-01 9.37253473e-03]\n",
      " [3.96303646e-02 9.30655307e-01 2.97143286e-02]\n",
      " [8.69896999e-02 7.51328618e-01 1.61681682e-01]\n",
      " [6.49989213e-03 9.92133453e-01 1.36665457e-03]\n",
      " [4.30151299e-02 9.37760502e-01 1.92243677e-02]\n",
      " [3.19858284e-02 9.65961252e-01 2.05291953e-03]\n",
      " [3.94446923e-02 9.19520506e-01 4.10348017e-02]\n",
      " [1.94186926e-01 7.91239843e-01 1.45732313e-02]\n",
      " [1.50242854e-02 9.82503857e-01 2.47185748e-03]\n",
      " [1.42260327e-02 9.79622915e-01 6.15105269e-03]\n",
      " [6.32814618e-02 9.30036153e-01 6.68238547e-03]\n",
      " [2.51156380e-02 9.58097020e-01 1.67873418e-02]\n",
      " [1.63832876e-01 8.28412503e-01 7.75462187e-03]\n",
      " [1.31907822e-02 9.82728678e-01 4.08053972e-03]\n",
      " [1.82343318e-01 8.11362639e-01 6.29404257e-03]\n",
      " [3.00280072e-02 9.67448141e-01 2.52385159e-03]\n",
      " [4.18958414e-02 9.52724040e-01 5.38011833e-03]\n",
      " [1.31165884e-01 8.58473222e-01 1.03608935e-02]\n",
      " [4.15141360e-01 5.73535829e-01 1.13228114e-02]\n",
      " [7.21983068e-01 2.72063836e-01 5.95309544e-03]\n",
      " [5.26120351e-03 9.94211313e-01 5.27483073e-04]\n",
      " [4.95602949e-02 8.81257348e-01 6.91823576e-02]\n",
      " [3.69539248e-02 9.31550884e-01 3.14951914e-02]\n",
      " [4.53407424e-02 9.05248962e-01 4.94102955e-02]\n",
      " [1.49937765e-02 9.77087217e-01 7.91900654e-03]\n",
      " [2.36261913e-01 7.57226122e-01 6.51196490e-03]\n",
      " [2.98909141e-02 9.63836265e-01 6.27282089e-03]\n",
      " [9.33770137e-02 8.97317203e-01 9.30578366e-03]\n",
      " [3.69866346e-01 6.18898756e-01 1.12348978e-02]\n",
      " [4.93881134e-02 9.44054664e-01 6.55722218e-03]\n",
      " [1.35568830e-02 9.80906193e-01 5.53692445e-03]\n",
      " [2.01119086e-02 9.69367170e-01 1.05209214e-02]\n",
      " [1.36913844e-02 9.82400397e-01 3.90821817e-03]\n",
      " [2.45313573e-02 9.73522333e-01 1.94630962e-03]\n",
      " [1.11713502e-02 9.83945591e-01 4.88305880e-03]\n",
      " [7.82901426e-02 6.99552548e-01 2.22157309e-01]\n",
      " [6.16892067e-03 9.91764182e-01 2.06689710e-03]\n",
      " [9.94521738e-03 9.86726809e-01 3.32797385e-03]\n",
      " [4.79079385e-03 9.93751155e-01 1.45805144e-03]\n",
      " [1.25086797e-02 9.85584874e-01 1.90644613e-03]\n",
      " [7.34882866e-02 5.86962757e-01 3.39548956e-01]\n",
      " [5.85007005e-03 9.92007556e-01 2.14237433e-03]\n",
      " [9.38999071e-01 5.68769395e-02 4.12398915e-03]\n",
      " [2.82062301e-01 7.09070550e-01 8.86714938e-03]\n",
      " [9.92277768e-01 7.20395324e-03 5.18278514e-04]\n",
      " [9.11629784e-01 8.57312618e-02 2.63895436e-03]\n",
      " [9.88799905e-01 1.06517789e-02 5.48315949e-04]\n",
      " [9.15003490e-01 7.56464736e-02 9.35003590e-03]\n",
      " [9.33741332e-02 8.76474681e-01 3.01511861e-02]\n",
      " [9.48837007e-01 4.68161059e-02 4.34688699e-03]\n",
      " [9.41395329e-01 5.59553006e-02 2.64937074e-03]\n",
      " [9.47517557e-01 4.73093638e-02 5.17307960e-03]\n",
      " [8.37601900e-01 1.58156836e-01 4.24126430e-03]\n",
      " [8.21519489e-01 1.74594004e-01 3.88650635e-03]\n",
      " [9.97552110e-01 2.34047860e-03 1.07411796e-04]\n",
      " [2.24658749e-01 7.64531670e-01 1.08095814e-02]\n",
      " [4.93117652e-01 4.93067528e-01 1.38148200e-02]\n",
      " [9.16444721e-01 8.04463621e-02 3.10891701e-03]\n",
      " [9.59922282e-01 3.88454737e-02 1.23224480e-03]\n",
      " [8.76128088e-01 1.07203672e-01 1.66682394e-02]\n",
      " [8.69075950e-01 1.14774831e-01 1.61492185e-02]\n",
      " [1.71495539e-01 8.19000802e-01 9.50365959e-03]\n",
      " [9.95255550e-01 4.45336028e-03 2.91090010e-04]\n",
      " [1.72847567e-01 8.16946516e-01 1.02059169e-02]\n",
      " [8.91736164e-01 9.58459048e-02 1.24179313e-02]\n",
      " [3.09700639e-01 6.84007011e-01 6.29234995e-03]\n",
      " [9.95475164e-01 4.28389509e-03 2.40940797e-04]\n",
      " [9.75231810e-01 2.29261014e-02 1.84208881e-03]\n",
      " [1.78670577e-01 8.16129964e-01 5.19945925e-03]\n",
      " [2.47101103e-01 7.46629120e-01 6.26977718e-03]\n",
      " [9.59500508e-01 3.90508056e-02 1.44868684e-03]\n",
      " [9.62119187e-01 3.54760050e-02 2.40480817e-03]\n",
      " [9.54446126e-01 4.18455746e-02 3.70829912e-03]\n",
      " [8.72854083e-01 1.10249433e-01 1.68964833e-02]\n",
      " [9.58953761e-01 3.94796506e-02 1.56658841e-03]\n",
      " [3.88769213e-01 6.04511525e-01 6.71926211e-03]\n",
      " [6.05605468e-01 3.84239238e-01 1.01552942e-02]\n",
      " [9.34334269e-01 5.90249790e-02 6.64075222e-03]\n",
      " [9.28682078e-01 6.75331290e-02 3.78479302e-03]\n",
      " [9.37456796e-01 6.06501294e-02 1.89307459e-03]\n",
      " [1.37340178e-01 8.57334842e-01 5.32498073e-03]\n",
      " [9.91702826e-01 7.91512006e-03 3.82054410e-04]\n",
      " [9.89080248e-01 1.03355836e-02 5.84168037e-04]\n",
      " [9.26768996e-01 6.99196298e-02 3.31137396e-03]\n",
      " [2.82062301e-01 7.09070550e-01 8.86714938e-03]\n",
      " [9.92978887e-01 6.56442324e-03 4.56690135e-04]\n",
      " [9.78123356e-01 2.04794005e-02 1.39724375e-03]\n",
      " [9.42349905e-01 5.54341906e-02 2.21590485e-03]\n",
      " [4.29554438e-01 5.62699293e-01 7.74626923e-03]\n",
      " [8.91443963e-01 1.05851633e-01 2.70440407e-03]\n",
      " [8.67376724e-01 1.26956108e-01 5.66716867e-03]\n",
      " [3.28267726e-01 6.63662078e-01 8.07019551e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08643314e-05 1.54498290e-04 9.99794637e-01]\n",
      " [9.44633033e-04 3.01076953e-03 9.96044597e-01]\n",
      " [7.42845920e-04 2.25223244e-03 9.97004922e-01]\n",
      " [1.46140937e-03 4.66553510e-03 9.93873056e-01]\n",
      " [1.06752272e-04 3.19525791e-04 9.99573722e-01]\n",
      " [4.08912594e-03 1.26060557e-02 9.83304818e-01]\n",
      " [7.56533081e-04 2.30613488e-03 9.96937332e-01]\n",
      " [3.38705831e-06 1.06850310e-05 9.99985928e-01]\n",
      " [4.56673740e-03 1.41744748e-02 9.81258788e-01]\n",
      " [5.81839535e-04 1.87032828e-03 9.97547832e-01]\n",
      " [1.42460713e-03 4.27483669e-03 9.94300556e-01]\n",
      " [1.89009410e-04 6.07441701e-04 9.99203549e-01]\n",
      " [1.26486262e-03 3.97525429e-03 9.94759883e-01]\n",
      " [5.60164470e-03 1.59445943e-02 9.78453761e-01]\n",
      " [1.01434887e-02 2.63205882e-02 9.63535923e-01]\n",
      " [1.80691482e-02 4.66042068e-02 9.35326645e-01]\n",
      " [3.15705443e-03 8.84770422e-03 9.87995241e-01]\n",
      " [5.02759228e-05 1.53971625e-04 9.99795752e-01]\n",
      " [7.35234890e-03 2.25005735e-02 9.70147078e-01]\n",
      " [7.57178430e-04 2.26576582e-03 9.96977056e-01]\n",
      " [1.32467201e-03 4.40797032e-03 9.94267358e-01]\n",
      " [4.70645605e-04 1.44357817e-03 9.98085776e-01]\n",
      " [2.23851548e-03 6.08172883e-03 9.91679756e-01]\n",
      " [7.09360606e-04 2.47764317e-03 9.96812996e-01]\n",
      " [1.41670101e-03 4.93379376e-03 9.93649505e-01]\n",
      " [1.04530372e-03 3.53725667e-03 9.95417440e-01]\n",
      " [1.02696723e-04 3.39110490e-04 9.99558193e-01]\n",
      " [1.40991782e-04 4.39147439e-04 9.99419861e-01]\n",
      " [1.31749561e-04 4.05257585e-04 9.99462993e-01]\n",
      " [7.38884534e-04 2.41610913e-03 9.96845006e-01]\n",
      " [7.74813727e-04 2.57522668e-03 9.96649960e-01]\n",
      " [1.00126863e-03 3.20512853e-03 9.95793603e-01]\n",
      " [3.96962871e-03 1.10359619e-02 9.84994409e-01]\n",
      " [8.03229301e-03 2.13591923e-02 9.70608515e-01]\n",
      " [4.70895697e-04 1.53024866e-03 9.97998856e-01]\n",
      " [4.80432621e-04 1.43438058e-03 9.98085187e-01]\n",
      " [1.71411255e-03 5.02144718e-03 9.93264440e-01]\n",
      " [2.27928359e-04 6.75150211e-04 9.99096921e-01]\n",
      " [3.74425125e-03 1.12932715e-02 9.84962477e-01]\n",
      " [2.04794340e-05 6.46937866e-05 9.99914827e-01]\n",
      " [9.97976818e-05 2.97837310e-04 9.99602365e-01]\n",
      " [1.47444653e-02 4.57463861e-02 9.39509149e-01]\n",
      " [2.63128005e-03 7.82429400e-03 9.89544426e-01]\n",
      " [7.29793722e-04 2.40482761e-03 9.96865379e-01]\n",
      " [2.99223408e-03 9.99772619e-03 9.87010040e-01]\n",
      " [1.16010252e-03 3.71469622e-03 9.95125201e-01]\n",
      " [8.85246287e-04 2.68995931e-03 9.96424794e-01]\n",
      " [1.05497452e-03 3.25757432e-03 9.95687451e-01]\n",
      " [8.61773879e-04 2.59526473e-03 9.96542961e-01]\n",
      " [4.52643634e-05 1.40795678e-04 9.99813940e-01]\n",
      " [5.12354778e-01 4.70481654e-01 1.71635674e-02]\n",
      " [1.25067830e-01 8.66637112e-01 8.29505831e-03]\n",
      " [6.41714278e-01 3.48032485e-01 1.02532369e-02]\n",
      " [2.96953963e-02 9.54740928e-01 1.55636759e-02]\n",
      " [1.30978616e-01 8.62806625e-01 6.21475870e-03]\n",
      " [3.74550426e-03 9.95600524e-01 6.53972138e-04]\n",
      " [2.19076780e-01 7.71872793e-01 9.05042667e-03]\n",
      " [7.85579849e-02 6.77897040e-01 2.43544975e-01]\n",
      " [1.66808777e-01 8.23825238e-01 9.36598499e-03]\n",
      " [3.96550041e-02 9.30594994e-01 2.97500015e-02]\n",
      " [8.70033887e-02 7.51215216e-01 1.61781395e-01]\n",
      " [6.49832658e-03 9.92134292e-01 1.36738138e-03]\n",
      " [4.30286267e-02 9.37729527e-01 1.92418460e-02]\n",
      " [3.18754635e-02 9.66076645e-01 2.04789172e-03]\n",
      " [3.94699065e-02 9.19445548e-01 4.10845457e-02]\n",
      " [1.93944325e-01 7.91488664e-01 1.45670103e-02]\n",
      " [1.50096253e-02 9.82518985e-01 2.47139008e-03]\n",
      " [1.42452990e-02 9.79591319e-01 6.16338247e-03]\n",
      " [6.32030559e-02 9.30117590e-01 6.67935408e-03]\n",
      " [2.51433288e-02 9.58040768e-01 1.68159035e-02]\n",
      " [1.63526283e-01 8.28725660e-01 7.74805787e-03]\n",
      " [1.31981873e-02 9.82716122e-01 4.08569087e-03]\n",
      " [1.81980546e-01 8.11731137e-01 6.28831747e-03]\n",
      " [2.99521057e-02 9.67528146e-01 2.51974849e-03]\n",
      " [4.18332377e-02 9.52790326e-01 5.37643646e-03]\n",
      " [1.30968917e-01 8.58676847e-01 1.03542355e-02]\n",
      " [4.14678140e-01 5.74000294e-01 1.13215666e-02]\n",
      " [7.21462496e-01 2.72579241e-01 5.95826265e-03]\n",
      " [5.23398773e-03 9.94240777e-01 5.25235500e-04]\n",
      " [4.95865537e-02 8.81157259e-01 6.92561874e-02]\n",
      " [3.69829590e-02 9.31479239e-01 3.15378016e-02]\n",
      " [4.53696066e-02 9.05161727e-01 4.94686669e-02]\n",
      " [1.50162304e-02 9.77047838e-01 7.93593170e-03]\n",
      " [2.35808509e-01 7.57684453e-01 6.50703732e-03]\n",
      " [2.98780729e-02 9.63847274e-01 6.27465297e-03]\n",
      " [9.32361742e-02 8.97464195e-01 9.29963055e-03]\n",
      " [3.69394106e-01 6.19373579e-01 1.12323149e-02]\n",
      " [4.93368833e-02 9.44107748e-01 6.55536902e-03]\n",
      " [1.35727306e-02 9.80880158e-01 5.54711094e-03]\n",
      " [2.01365159e-02 9.69323130e-01 1.05403538e-02]\n",
      " [1.37033075e-02 9.82382396e-01 3.91429674e-03]\n",
      " [2.44511896e-02 9.73607007e-01 1.94180378e-03]\n",
      " [1.11914867e-02 9.83913446e-01 4.89506681e-03]\n",
      " [7.83015396e-02 6.99406317e-01 2.22292143e-01]\n",
      " [6.18391628e-03 9.91742733e-01 2.07335085e-03]\n",
      " [9.95697248e-03 9.86708808e-01 3.33421961e-03]\n",
      " [4.80166677e-03 9.93735931e-01 1.46240214e-03]\n",
      " [1.24888802e-02 9.85606148e-01 1.90497217e-03]\n",
      " [7.34904510e-02 5.86797022e-01 3.39712527e-01]\n",
      " [5.86537264e-03 9.91985171e-01 2.14945663e-03]\n",
      " [9.38987111e-01 5.68901294e-02 4.12275933e-03]\n",
      " [2.81644009e-01 7.09492708e-01 8.86328239e-03]\n",
      " [9.92298903e-01 7.18450720e-03 5.16589396e-04]\n",
      " [9.11419616e-01 8.59372918e-02 2.64309210e-03]\n",
      " [9.88786582e-01 1.06647924e-02 5.48625119e-04]\n",
      " [9.15058034e-01 7.56012260e-02 9.34074018e-03]\n",
      " [9.33560838e-02 8.76481278e-01 3.01626385e-02]\n",
      " [9.48874629e-01 4.67835369e-02 4.34183415e-03]\n",
      " [9.41331258e-01 5.60181036e-02 2.65063851e-03]\n",
      " [9.47562011e-01 4.72713826e-02 5.16660676e-03]\n",
      " [8.37225969e-01 1.58526856e-01 4.24717449e-03]\n",
      " [8.21100838e-01 1.75007285e-01 3.89187739e-03]\n",
      " [9.97538166e-01 2.35388472e-03 1.07949028e-04]\n",
      " [2.24369923e-01 7.64824820e-01 1.08052567e-02]\n",
      " [4.92732655e-01 4.93451283e-01 1.38160617e-02]\n",
      " [9.16273516e-01 8.06134952e-02 3.11298911e-03]\n",
      " [9.59781638e-01 3.89828207e-02 1.23554132e-03]\n",
      " [8.76184122e-01 1.07160288e-01 1.66555896e-02]\n",
      " [8.69126755e-01 1.14735239e-01 1.61380053e-02]\n",
      " [1.71267058e-01 8.19233895e-01 9.49904715e-03]\n",
      " [9.95265459e-01 4.44422278e-03 2.90318173e-04]\n",
      " [1.72608116e-01 8.17191105e-01 1.02007784e-02]\n",
      " [8.91787180e-01 9.58048680e-02 1.24079520e-02]\n",
      " [3.09103874e-01 6.84607475e-01 6.28865104e-03]\n",
      " [9.95473115e-01 4.28598416e-03 2.40901254e-04]\n",
      " [9.75259109e-01 2.29017299e-02 1.83916110e-03]\n",
      " [1.78235750e-01 8.16571005e-01 5.19324484e-03]\n",
      " [2.46580295e-01 7.47155136e-01 6.26456886e-03]\n",
      " [9.59398207e-01 3.91505153e-02 1.45127734e-03]\n",
      " [9.62119878e-01 3.54766320e-02 2.40348981e-03]\n",
      " [9.54479801e-01 4.18162811e-02 3.70391746e-03]\n",
      " [8.72904672e-01 1.10210843e-01 1.68844850e-02]\n",
      " [9.58863014e-01 3.95680438e-02 1.56894264e-03]\n",
      " [3.88133454e-01 6.05149173e-01 6.71737300e-03]\n",
      " [6.05211522e-01 3.84630457e-01 1.01580202e-02]\n",
      " [9.34382392e-01 5.89842793e-02 6.63332841e-03]\n",
      " [9.28608741e-01 6.76047996e-02 3.78645972e-03]\n",
      " [9.37273259e-01 6.08296953e-02 1.89704549e-03]\n",
      " [1.37011797e-01 8.57669928e-01 5.31827470e-03]\n",
      " [9.91679931e-01 7.93721975e-03 3.82849436e-04]\n",
      " [9.89072619e-01 1.03431583e-02 5.84222530e-04]\n",
      " [9.26653436e-01 7.00321753e-02 3.31438868e-03]\n",
      " [2.81644009e-01 7.09492708e-01 8.86328239e-03]\n",
      " [9.92995141e-01 6.54947104e-03 4.55388322e-04]\n",
      " [9.78126601e-01 2.04771187e-02 1.39628052e-03]\n",
      " [9.42221231e-01 5.55595428e-02 2.21922654e-03]\n",
      " [4.28974817e-01 5.63279646e-01 7.74553663e-03]\n",
      " [8.91124577e-01 1.06165618e-01 2.70980545e-03]\n",
      " [8.67191927e-01 1.27136747e-01 5.67132576e-03]\n",
      " [3.27747779e-01 6.64185236e-01 8.06698460e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08684145e-05 1.54505504e-04 9.99794626e-01]\n",
      " [9.44449774e-04 3.01005023e-03 9.96045500e-01]\n",
      " [7.42741689e-04 2.25182826e-03 9.97005430e-01]\n",
      " [1.46113206e-03 4.66443583e-03 9.93874432e-01]\n",
      " [1.06756761e-04 3.19529044e-04 9.99573714e-01]\n",
      " [4.08845037e-03 1.26036900e-02 9.83307860e-01]\n",
      " [7.56422308e-04 2.30571018e-03 9.96937868e-01]\n",
      " [3.38618125e-06 1.06818453e-05 9.99985932e-01]\n",
      " [4.56596486e-03 1.41714431e-02 9.81262592e-01]\n",
      " [5.81719315e-04 1.86985675e-03 9.97548424e-01]\n",
      " [1.42441576e-03 4.27415024e-03 9.94301434e-01]\n",
      " [1.88965094e-04 6.07273476e-04 9.99203761e-01]\n",
      " [1.26463797e-03 3.97437170e-03 9.94760990e-01]\n",
      " [5.60087668e-03 1.59418381e-02 9.78457285e-01]\n",
      " [1.01422922e-02 2.63172817e-02 9.63540426e-01]\n",
      " [1.80668500e-02 4.65983336e-02 9.35334816e-01]\n",
      " [3.15668135e-03 8.84650602e-03 9.87996813e-01]\n",
      " [5.02763852e-05 1.53967847e-04 9.99795756e-01]\n",
      " [7.35114618e-03 2.24964566e-02 9.70152397e-01]\n",
      " [7.57091935e-04 2.26544508e-03 9.96977463e-01]\n",
      " [1.32438852e-03 4.40685193e-03 9.94268760e-01]\n",
      " [4.70581828e-04 1.44333892e-03 9.98086079e-01]\n",
      " [2.23831827e-03 6.08103384e-03 9.91680648e-01]\n",
      " [7.09148303e-04 2.47678238e-03 9.96814069e-01]\n",
      " [1.41635185e-03 4.93232746e-03 9.93651321e-01]\n",
      " [1.04504948e-03 3.53621591e-03 9.95418735e-01]\n",
      " [1.02656948e-04 3.38964731e-04 9.99558378e-01]\n",
      " [1.40973878e-04 4.39076395e-04 9.99419950e-01]\n",
      " [1.31737619e-04 4.05206681e-04 9.99463056e-01]\n",
      " [7.38720087e-04 2.41545752e-03 9.96845822e-01]\n",
      " [7.74628499e-04 2.57448377e-03 9.96650888e-01]\n",
      " [1.00107522e-03 3.20439768e-03 9.95794527e-01]\n",
      " [3.96916328e-03 1.10344768e-02 9.84996360e-01]\n",
      " [8.03132811e-03 2.13564294e-02 9.70612243e-01]\n",
      " [4.70786819e-04 1.52982407e-03 9.97999389e-01]\n",
      " [4.80382573e-04 1.43417977e-03 9.98085438e-01]\n",
      " [1.71389925e-03 5.02069125e-03 9.93265410e-01]\n",
      " [2.27924633e-04 6.75117438e-04 9.99096958e-01]\n",
      " [3.74366218e-03 1.12910313e-02 9.84965307e-01]\n",
      " [2.04752639e-05 6.46781258e-05 9.99914847e-01]\n",
      " [9.98020362e-05 2.97840685e-04 9.99602357e-01]\n",
      " [1.47420877e-02 4.57369053e-02 9.39521007e-01]\n",
      " [2.63089336e-03 7.82284516e-03 9.89546261e-01]\n",
      " [7.29621544e-04 2.40416626e-03 9.96866212e-01]\n",
      " [2.99163021e-03 9.99536150e-03 9.87013008e-01]\n",
      " [1.15987305e-03 3.71379241e-03 9.95126335e-01]\n",
      " [8.85129042e-04 2.68952508e-03 9.96425346e-01]\n",
      " [1.05480218e-03 3.25690713e-03 9.95688291e-01]\n",
      " [8.61667745e-04 2.59487290e-03 9.96543459e-01]\n",
      " [4.52594688e-05 1.40774969e-04 9.99813966e-01]\n",
      " [5.12131872e-01 4.70703694e-01 1.71644341e-02]\n",
      " [1.24926591e-01 8.66782867e-01 8.29054150e-03]\n",
      " [6.41448396e-01 3.48295919e-01 1.02556858e-02]\n",
      " [2.97101802e-02 9.54712548e-01 1.55772722e-02]\n",
      " [1.30804804e-01 8.62984700e-01 6.21049565e-03]\n",
      " [3.74497109e-03 9.95600831e-01 6.54197582e-04]\n",
      " [2.18837129e-01 7.72116390e-01 9.04648168e-03]\n",
      " [7.85638776e-02 6.77803483e-01 2.43632639e-01]\n",
      " [1.66639863e-01 8.23998241e-01 9.36189617e-03]\n",
      " [3.96704050e-02 9.30557329e-01 2.97722659e-02]\n",
      " [8.70119646e-02 7.51144450e-01 1.61843585e-01]\n",
      " [6.49736899e-03 9.92134794e-01 1.36783721e-03]\n",
      " [4.30370633e-02 9.37710190e-01 1.92527467e-02]\n",
      " [3.18068539e-02 9.66148385e-01 2.04476092e-03]\n",
      " [3.94856431e-02 9.19398785e-01 4.11155715e-02]\n",
      " [1.93793265e-01 7.91643611e-01 1.45631235e-02]\n",
      " [1.50005459e-02 9.82528349e-01 2.47110486e-03]\n",
      " [1.42573184e-02 9.79571607e-01 6.17107491e-03]\n",
      " [6.31543161e-02 9.30168216e-01 6.67746804e-03]\n",
      " [2.51606090e-02 9.58005667e-01 1.68337236e-02]\n",
      " [1.63335620e-01 8.28920414e-01 7.74396610e-03]\n",
      " [1.32028094e-02 9.82708287e-01 4.08890330e-03]\n",
      " [1.81754875e-01 8.11960379e-01 6.28474625e-03]\n",
      " [2.99049092e-02 9.67577898e-01 2.51719316e-03]\n",
      " [4.17942741e-02 9.52831586e-01 5.37413973e-03]\n",
      " [1.30846303e-01 8.58803617e-01 1.03500798e-02]\n",
      " [4.14389600e-01 5.74289621e-01 1.13207787e-02]\n",
      " [7.21137996e-01 2.72900531e-01 5.96147352e-03]\n",
      " [5.21708532e-03 9.94259077e-01 5.23837858e-04]\n",
      " [4.96029362e-02 8.81094841e-01 6.93022227e-02]\n",
      " [3.70010823e-02 9.31434534e-01 3.15643841e-02]\n",
      " [4.53876220e-02 9.05107303e-01 4.95050747e-02]\n",
      " [1.50302378e-02 9.77023271e-01 7.94649149e-03]\n",
      " [2.35526502e-01 7.57969536e-01 6.50396206e-03]\n",
      " [2.98701451e-02 9.63854050e-01 6.27580514e-03]\n",
      " [9.31485734e-02 8.97555630e-01 9.29579621e-03]\n",
      " [3.69099993e-01 6.19669315e-01 1.12306922e-02]\n",
      " [4.93050269e-02 9.44140758e-01 6.55421542e-03]\n",
      " [1.35826284e-02 9.80863902e-01 5.55346997e-03]\n",
      " [2.01518817e-02 9.69295634e-01 1.05524838e-02]\n",
      " [1.37107720e-02 9.82371133e-01 3.91809512e-03]\n",
      " [2.44013473e-02 9.73659655e-01 1.93899792e-03]\n",
      " [1.12040511e-02 9.83893388e-01 4.90256074e-03]\n",
      " [7.83086758e-02 6.99315102e-01 2.22376223e-01]\n",
      " [6.19328318e-03 9.91729334e-01 2.07738263e-03]\n",
      " [9.96431440e-03 9.86697567e-01 3.33811869e-03]\n",
      " [4.80845838e-03 9.93726422e-01 1.46511997e-03]\n",
      " [1.24765635e-02 9.85619383e-01 1.90405368e-03]\n",
      " [7.34918244e-02 5.86693671e-01 3.39814505e-01]\n",
      " [5.87492592e-03 9.91971195e-01 2.15387939e-03]\n",
      " [9.38979643e-01 5.68983628e-02 4.12199402e-03]\n",
      " [2.81383866e-01 7.09755265e-01 8.86086820e-03]\n",
      " [9.92312026e-01 7.17243368e-03 5.15540803e-04]\n",
      " [9.11288595e-01 8.60657371e-02 2.64566753e-03]\n",
      " [9.88778267e-01 1.06729149e-02 5.48818078e-04]\n",
      " [9.15091921e-01 7.55731183e-02 9.33496053e-03]\n",
      " [9.33449670e-02 8.76485233e-01 3.01698003e-02]\n",
      " [9.48897987e-01 4.67633192e-02 4.33869404e-03]\n",
      " [9.41291287e-01 5.60572840e-02 2.65142894e-03]\n",
      " [9.47589631e-01 4.72477860e-02 5.16258290e-03]\n",
      " [8.36991600e-01 1.58757548e-01 4.25085157e-03]\n",
      " [8.20839904e-01 1.75264879e-01 3.89521757e-03]\n",
      " [9.97529448e-01 2.36226772e-03 1.08284689e-04]\n",
      " [2.24190362e-01 7.65007076e-01 1.08025621e-02]\n",
      " [4.92493092e-01 4.93690082e-01 1.38168256e-02]\n",
      " [9.16166788e-01 8.07176883e-02 3.11552388e-03]\n",
      " [9.59693899e-01 3.90685063e-02 1.23759504e-03]\n",
      " [8.76218928e-01 1.07133349e-01 1.66477236e-02]\n",
      " [8.69158318e-01 1.14710651e-01 1.61310315e-02]\n",
      " [1.71124983e-01 8.19378844e-01 9.49617363e-03]\n",
      " [9.95271604e-01 4.43855629e-03 2.89839374e-04]\n",
      " [1.72459283e-01 8.17343137e-01 1.01975793e-02]\n",
      " [8.91818866e-01 9.57793869e-02 1.24017469e-02]\n",
      " [3.08732548e-01 6.84981115e-01 6.28633662e-03]\n",
      " [9.95471816e-01 4.28730669e-03 2.40877712e-04]\n",
      " [9.75276047e-01 2.28866103e-02 1.83734309e-03]\n",
      " [1.77965321e-01 8.16845310e-01 5.18936860e-03]\n",
      " [2.46256326e-01 7.47482358e-01 6.26131637e-03]\n",
      " [9.59334427e-01 3.92126830e-02 1.45289029e-03]\n",
      " [9.62120225e-01 3.54771011e-02 2.40267343e-03]\n",
      " [9.54500700e-01 4.17981046e-02 3.70119510e-03]\n",
      " [8.72936072e-01 1.10186902e-01 1.68770258e-02]\n",
      " [9.58806442e-01 3.96231495e-02 1.57040831e-03]\n",
      " [3.87737707e-01 6.05546109e-01 6.71618415e-03]\n",
      " [6.04966193e-01 3.84874097e-01 1.01597099e-02]\n",
      " [9.34412280e-01 5.89590063e-02 6.62871406e-03]\n",
      " [9.28563027e-01 6.76494759e-02 3.78749719e-03]\n",
      " [9.37158796e-01 6.09416858e-02 1.89951830e-03]\n",
      " [1.36807618e-01 8.57878287e-01 5.31409517e-03]\n",
      " [9.91665620e-01 7.95103346e-03 3.83346138e-04]\n",
      " [9.89067844e-01 1.03478985e-02 5.84257399e-04]\n",
      " [9.26581341e-01 7.01023914e-02 3.31626756e-03]\n",
      " [2.81383866e-01 7.09755265e-01 8.86086820e-03]\n",
      " [9.93005237e-01 6.54018361e-03 4.54579812e-04]\n",
      " [9.78128593e-01 2.04757248e-02 1.39568239e-03]\n",
      " [9.42140978e-01 5.56377261e-02 2.22129561e-03]\n",
      " [4.28614047e-01 5.63640884e-01 7.74506913e-03]\n",
      " [8.90925420e-01 1.06361413e-01 2.71316744e-03]\n",
      " [8.67076769e-01 1.27249319e-01 5.67391196e-03]\n",
      " [3.27424307e-01 6.64510718e-01 8.06497535e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08709748e-05 1.54510045e-04 9.99794619e-01]\n",
      " [9.44335697e-04 3.00960235e-03 9.96046062e-01]\n",
      " [7.42676850e-04 2.25157670e-03 9.97005746e-01]\n",
      " [1.46095945e-03 4.66375137e-03 9.93875289e-01]\n",
      " [1.06759589e-04 3.19531153e-04 9.99573709e-01]\n",
      " [4.08802995e-03 1.26022173e-02 9.83309753e-01]\n",
      " [7.56353393e-04 2.30544584e-03 9.96938201e-01]\n",
      " [3.38563538e-06 1.06798621e-05 9.99985935e-01]\n",
      " [4.56548406e-03 1.41695556e-02 9.81264960e-01]\n",
      " [5.81644471e-04 1.86956314e-03 9.97548792e-01]\n",
      " [1.42429673e-03 4.27372308e-03 9.94301980e-01]\n",
      " [1.88937499e-04 6.07168708e-04 9.99203894e-01]\n",
      " [1.26449814e-03 3.97382220e-03 9.94761680e-01]\n",
      " [5.60039884e-03 1.59401225e-02 9.78459479e-01]\n",
      " [1.01415479e-02 2.63152243e-02 9.63543228e-01]\n",
      " [1.80654200e-02 4.65946782e-02 9.35339902e-01]\n",
      " [3.15644934e-03 8.84576054e-03 9.87997790e-01]\n",
      " [5.02766870e-05 1.53965532e-04 9.99795758e-01]\n",
      " [7.35039770e-03 2.24938939e-02 9.70155708e-01]\n",
      " [7.57038162e-04 2.26524555e-03 9.96977716e-01]\n",
      " [1.32421203e-03 4.40615553e-03 9.94269632e-01]\n",
      " [4.70542161e-04 1.44319004e-03 9.98086268e-01]\n",
      " [2.23819575e-03 6.08060162e-03 9.91681203e-01]\n",
      " [7.09016068e-04 2.47624619e-03 9.96814738e-01]\n",
      " [1.41613443e-03 4.93141427e-03 9.93652451e-01]\n",
      " [1.04489117e-03 3.53556775e-03 9.95419541e-01]\n",
      " [1.02632167e-04 3.38873913e-04 9.99558494e-01]\n",
      " [1.40962746e-04 4.39032194e-04 9.99420005e-01]\n",
      " [1.31730203e-04 4.05175034e-04 9.99463095e-01]\n",
      " [7.38617698e-04 2.41505173e-03 9.96846331e-01]\n",
      " [7.74513158e-04 2.57402110e-03 9.96651466e-01]\n",
      " [1.00095482e-03 3.20394264e-03 9.95795103e-01]\n",
      " [3.96887383e-03 1.10335527e-02 9.84997573e-01]\n",
      " [8.03072791e-03 2.13547101e-02 9.70614562e-01]\n",
      " [4.70719023e-04 1.52955965e-03 9.97999721e-01]\n",
      " [4.80351468e-04 1.43405487e-03 9.98085594e-01]\n",
      " [1.71376660e-03 5.02022091e-03 9.93266012e-01]\n",
      " [2.27922364e-04 6.75097157e-04 9.99096980e-01]\n",
      " [3.74329560e-03 1.12896367e-02 9.84967068e-01]\n",
      " [2.04726684e-05 6.46683760e-05 9.99914859e-01]\n",
      " [9.98047777e-05 2.97842866e-04 9.99602352e-01]\n",
      " [1.47406079e-02 4.57310024e-02 9.39528390e-01]\n",
      " [2.63065277e-03 7.82194328e-03 9.89547404e-01]\n",
      " [7.29514336e-04 2.40375440e-03 9.96866731e-01]\n",
      " [2.99125431e-03 9.99388914e-03 9.87014857e-01]\n",
      " [1.15973021e-03 3.71322964e-03 9.95127040e-01]\n",
      " [8.85056120e-04 2.68925488e-03 9.96425689e-01]\n",
      " [1.05469493e-03 3.25649177e-03 9.95688813e-01]\n",
      " [8.61601748e-04 2.59462911e-03 9.96543769e-01]\n",
      " [4.52564276e-05 1.40762089e-04 9.99813981e-01]\n",
      " [5.11993066e-01 4.70841963e-01 1.71649708e-02]\n",
      " [1.24838722e-01 8.66873550e-01 8.28772843e-03]\n",
      " [6.41282799e-01 3.48459993e-01 1.02572082e-02]\n",
      " [2.97193938e-02 9.54694862e-01 1.55857447e-02]\n",
      " [1.30696678e-01 8.63095482e-01 6.20784057e-03]\n",
      " [3.74464645e-03 9.95601014e-01 6.54339164e-04]\n",
      " [2.18688017e-01 7.72267959e-01 9.04402331e-03]\n",
      " [7.85675514e-02 6.77745210e-01 2.43687238e-01]\n",
      " [1.66534760e-01 8.24105892e-01 9.35934881e-03]\n",
      " [3.96800036e-02 9.30533857e-01 2.97861390e-02]\n",
      " [8.70173118e-02 7.51100367e-01 1.61882322e-01]\n",
      " [6.49677945e-03 9.92135098e-01 1.36812231e-03]\n",
      " [4.30423224e-02 9.37698140e-01 1.92595376e-02]\n",
      " [3.17641973e-02 9.66192990e-01 2.04281276e-03]\n",
      " [3.94954461e-02 9.19369655e-01 4.11348993e-02]\n",
      " [1.93699256e-01 7.91740043e-01 1.45607014e-02]\n",
      " [1.49949096e-02 9.82534161e-01 2.47092921e-03]\n",
      " [1.42648062e-02 9.79559325e-01 6.17586828e-03]\n",
      " [6.31240062e-02 9.30199699e-01 6.67629492e-03]\n",
      " [2.51713737e-02 9.57983800e-01 1.68448266e-02]\n",
      " [1.63217026e-01 8.29041556e-01 7.74141811e-03]\n",
      " [1.32056910e-02 9.82703404e-01 4.09090516e-03]\n",
      " [1.81614491e-01 8.12102987e-01 6.28252171e-03]\n",
      " [2.98755618e-02 9.67608835e-01 2.51560310e-03]\n",
      " [4.17700361e-02 9.52857254e-01 5.37270998e-03]\n",
      " [1.30770011e-01 8.58882498e-01 1.03474913e-02]\n",
      " [4.14209977e-01 5.74469738e-01 1.13202846e-02]\n",
      " [7.20935869e-01 2.73100660e-01 5.96347041e-03]\n",
      " [5.20658355e-03 9.94270448e-01 5.22968885e-04]\n",
      " [4.96131395e-02 8.81055964e-01 6.93308967e-02]\n",
      " [3.70123724e-02 9.31406682e-01 3.15809451e-02]\n",
      " [4.53988441e-02 9.05073401e-01 4.95277548e-02]\n",
      " [1.50389635e-02 9.77007965e-01 7.95307144e-03]\n",
      " [2.35351070e-01 7.58146884e-01 6.50204579e-03]\n",
      " [2.98652287e-02 9.63858246e-01 6.27652567e-03]\n",
      " [9.30940842e-02 8.97612506e-01 9.29340945e-03]\n",
      " [3.68916918e-01 6.19853404e-01 1.12296781e-02]\n",
      " [4.92852150e-02 9.44161287e-01 6.55349808e-03]\n",
      " [1.35887974e-02 9.80853769e-01 5.55743342e-03]\n",
      " [2.01614564e-02 9.69278501e-01 1.05600431e-02]\n",
      " [1.37154287e-02 9.82364108e-01 3.92046346e-03]\n",
      " [2.43703584e-02 9.73692390e-01 1.93725205e-03]\n",
      " [1.12118789e-02 9.83880890e-01 4.90723097e-03]\n",
      " [7.83131239e-02 6.99258287e-01 2.22428589e-01]\n",
      " [6.19912181e-03 9.91720982e-01 2.07989643e-03]\n",
      " [9.96889107e-03 9.86690560e-01 3.34054916e-03]\n",
      " [4.81269235e-03 9.93720493e-01 1.46681467e-03]\n",
      " [1.24689054e-02 9.85627612e-01 1.90348246e-03]\n",
      " [7.34926824e-02 5.86629305e-01 3.39878012e-01]\n",
      " [5.88087962e-03 9.91962484e-01 2.15663662e-03]\n",
      " [9.38974982e-01 5.69034996e-02 4.12151825e-03]\n",
      " [2.81222027e-01 7.09918609e-01 8.85936355e-03]\n",
      " [9.92320184e-01 7.16492741e-03 5.14889029e-04]\n",
      " [9.11206961e-01 8.61457685e-02 2.64727098e-03]\n",
      " [9.88773079e-01 1.06779822e-02 5.48938586e-04]\n",
      " [9.15113002e-01 7.55556329e-02 9.33136477e-03]\n",
      " [9.33380744e-02 8.76487659e-01 3.01742662e-02]\n",
      " [9.48912513e-01 4.67507460e-02 4.33674088e-03]\n",
      " [9.41266377e-01 5.60817013e-02 2.65192151e-03]\n",
      " [9.47606811e-01 4.72331089e-02 5.16007991e-03]\n",
      " [8.36845583e-01 1.58901277e-01 4.25314018e-03]\n",
      " [8.20677355e-01 1.75425349e-01 3.89729601e-03]\n",
      " [9.97524005e-01 2.36750083e-03 1.08494135e-04]\n",
      " [2.24078671e-01 7.65120445e-01 1.08008843e-02]\n",
      " [4.92343994e-01 4.93838708e-01 1.38172988e-02]\n",
      " [9.16100287e-01 8.07826104e-02 3.11710224e-03]\n",
      " [9.59639209e-01 3.91219169e-02 1.23887426e-03]\n",
      " [8.76240578e-01 1.07116592e-01 1.66428295e-02]\n",
      " [8.69177953e-01 1.14695355e-01 1.61266922e-02]\n",
      " [1.71036608e-01 8.19469007e-01 9.49438469e-03]\n",
      " [9.95275421e-01 4.43503670e-03 2.89541965e-04]\n",
      " [1.72366717e-01 8.17437695e-01 1.01955881e-02]\n",
      " [8.91838576e-01 9.57635373e-02 1.23978863e-02]\n",
      " [3.08501506e-01 6.85213602e-01 6.28489257e-03]\n",
      " [9.95470998e-01 4.28813865e-03 2.40863510e-04]\n",
      " [9.75286576e-01 2.28772109e-02 1.83621273e-03]\n",
      " [1.77797115e-01 8.17015931e-01 5.18695400e-03]\n",
      " [2.46054783e-01 7.47685928e-01 6.25928906e-03]\n",
      " [9.59294680e-01 3.92514250e-02 1.45389484e-03]\n",
      " [9.62120421e-01 3.54774121e-02 2.40216641e-03]\n",
      " [9.54513695e-01 4.17868028e-02 3.69950195e-03]\n",
      " [8.72955600e-01 1.10172015e-01 1.68723852e-02]\n",
      " [9.58771190e-01 3.96574892e-02 1.57132114e-03]\n",
      " [3.87491412e-01 6.05793147e-01 6.71544026e-03]\n",
      " [6.04813455e-01 3.85025785e-01 1.01607596e-02]\n",
      " [9.34430869e-01 5.89432873e-02 6.62584368e-03]\n",
      " [9.28534542e-01 6.76773141e-02 3.78814357e-03]\n",
      " [9.37087462e-01 6.10114802e-02 1.90105824e-03]\n",
      " [1.36680633e-01 8.58007875e-01 5.31149274e-03]\n",
      " [9.91656691e-01 7.95965266e-03 3.83656000e-04]\n",
      " [9.89064860e-01 1.03508605e-02 5.84279618e-04]\n",
      " [9.26536409e-01 7.01461532e-02 3.31743810e-03]\n",
      " [2.81222027e-01 7.09918609e-01 8.85936355e-03]\n",
      " [9.93011513e-01 6.53440984e-03 4.54077273e-04]\n",
      " [9.78129821e-01 2.04748680e-02 1.39531080e-03]\n",
      " [9.42090964e-01 5.56864521e-02 2.22258437e-03]\n",
      " [4.28389514e-01 5.63865712e-01 7.74477467e-03]\n",
      " [8.90801318e-01 1.06483421e-01 2.71526048e-03]\n",
      " [8.67005033e-01 1.27319445e-01 5.67552201e-03]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " [3.27223040e-01 6.64713238e-01 8.06372167e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08725733e-05 1.54512885e-04 9.99794615e-01]\n",
      " [9.44264698e-04 3.00932359e-03 9.96046412e-01]\n",
      " [7.42636508e-04 2.25142016e-03 9.97005943e-01]\n",
      " [1.46085202e-03 4.66332537e-03 9.93875823e-01]\n",
      " [1.06761357e-04 3.19532490e-04 9.99573706e-01]\n",
      " [4.08776832e-03 1.26013008e-02 9.83310931e-01]\n",
      " [7.56310513e-04 2.30528135e-03 9.96938408e-01]\n",
      " [3.38529571e-06 1.06786281e-05 9.99985936e-01]\n",
      " [4.56518484e-03 1.41683808e-02 9.81266434e-01]\n",
      " [5.81597888e-04 1.86938038e-03 9.97549022e-01]\n",
      " [1.42422266e-03 4.27345728e-03 9.94302320e-01]\n",
      " [1.88920322e-04 6.07103494e-04 9.99203976e-01]\n",
      " [1.26441113e-03 3.97348021e-03 9.94762109e-01]\n",
      " [5.60010151e-03 1.59390548e-02 9.78460844e-01]\n",
      " [1.01410848e-02 2.63139440e-02 9.63544971e-01]\n",
      " [1.80645302e-02 4.65924035e-02 9.35343066e-01]\n",
      " [3.15630500e-03 8.84529670e-03 9.87998398e-01]\n",
      " [5.02768785e-05 1.53964101e-04 9.99795759e-01]\n",
      " [7.34993190e-03 2.24922989e-02 9.70157769e-01]\n",
      " [7.57004714e-04 2.26512141e-03 9.96977874e-01]\n",
      " [1.32410218e-03 4.40572207e-03 9.94270176e-01]\n",
      " [4.70517482e-04 1.44309740e-03 9.98086385e-01]\n",
      " [2.23811955e-03 6.08033276e-03 9.91681548e-01]\n",
      " [7.08933747e-04 2.47591240e-03 9.96815154e-01]\n",
      " [1.41599910e-03 4.93084584e-03 9.93653155e-01]\n",
      " [1.04479263e-03 3.53516429e-03 9.95420043e-01]\n",
      " [1.02616738e-04 3.38817371e-04 9.99558566e-01]\n",
      " [1.40955821e-04 4.39004693e-04 9.99420039e-01]\n",
      " [1.31725592e-04 4.05155350e-04 9.99463119e-01]\n",
      " [7.38553967e-04 2.41479914e-03 9.96846647e-01]\n",
      " [7.74441363e-04 2.57373311e-03 9.96651826e-01]\n",
      " [1.00087989e-03 3.20365943e-03 9.95795461e-01]\n",
      " [3.96869375e-03 1.10329778e-02 9.84998328e-01]\n",
      " [8.03035448e-03 2.13536403e-02 9.70616005e-01]\n",
      " [4.70676824e-04 1.52939506e-03 9.97999928e-01]\n",
      " [4.80332123e-04 1.43397717e-03 9.98085691e-01]\n",
      " [1.71368407e-03 5.01992826e-03 9.93266388e-01]\n",
      " [2.27920965e-04 6.75084571e-04 9.99096994e-01]\n",
      " [3.74306749e-03 1.12887687e-02 9.84968164e-01]\n",
      " [2.04710531e-05 6.46623082e-05 9.99914867e-01]\n",
      " [9.98064925e-05 2.97844247e-04 9.99602349e-01]\n",
      " [1.47396870e-02 4.57273285e-02 9.39532984e-01]\n",
      " [2.63050307e-03 7.82138202e-03 9.89548115e-01]\n",
      " [7.29447604e-04 2.40349803e-03 9.96867054e-01]\n",
      " [2.99102035e-03 9.99297272e-03 9.87016007e-01]\n",
      " [1.15964130e-03 3.71287937e-03 9.95127479e-01]\n",
      " [8.85010750e-04 2.68908675e-03 9.96425902e-01]\n",
      " [1.05462819e-03 3.25623328e-03 9.95689139e-01]\n",
      " [8.61560690e-04 2.59447743e-03 9.96543962e-01]\n",
      " [4.52545365e-05 1.40754078e-04 9.99813991e-01]\n",
      " [5.11906666e-01 4.70928030e-01 1.71653040e-02]\n",
      " [1.24784058e-01 8.66929965e-01 8.28597750e-03]\n",
      " [6.41179708e-01 3.48562136e-01 1.02581550e-02]\n",
      " [2.97251304e-02 9.54683849e-01 1.55910204e-02]\n",
      " [1.30629414e-01 8.63164398e-01 6.20618790e-03]\n",
      " [3.74444692e-03 9.95601125e-01 6.54427724e-04]\n",
      " [2.18595246e-01 7.72362262e-01 9.04249258e-03]\n",
      " [7.85698382e-02 6.77708936e-01 2.43721226e-01]\n",
      " [1.66469369e-01 8.24172868e-01 9.35776299e-03]\n",
      " [3.96859798e-02 9.30519243e-01 2.97947772e-02]\n",
      " [8.70206408e-02 7.51072923e-01 1.61906436e-01]\n",
      " [6.49641505e-03 9.92135285e-01 1.36830028e-03]\n",
      " [4.30455975e-02 9.37690637e-01 1.92637659e-02]\n",
      " [3.17376711e-02 9.66220728e-01 2.04160072e-03]\n",
      " [3.95015485e-02 9.19351518e-01 4.11469330e-02]\n",
      " [1.93640762e-01 7.91800045e-01 1.45591934e-02]\n",
      " [1.49914069e-02 9.82537773e-01 2.47082056e-03]\n",
      " [1.42694682e-02 9.79551679e-01 6.17885326e-03]\n",
      " [6.31051535e-02 9.30219281e-01 6.67556523e-03]\n",
      " [2.51780752e-02 9.57970185e-01 1.68517401e-02]\n",
      " [1.63143251e-01 8.29116917e-01 7.73983212e-03]\n",
      " [1.32074861e-02 9.82700362e-01 4.09215195e-03]\n",
      " [1.81527158e-01 8.12191706e-01 6.28113683e-03]\n",
      " [2.98573107e-02 9.67628075e-01 2.51461388e-03]\n",
      " [4.17549595e-02 9.52873220e-01 5.37182044e-03]\n",
      " [1.30722545e-01 8.58931574e-01 1.03458801e-02]\n",
      " [4.14098188e-01 5.74581836e-01 1.13199760e-02]\n",
      " [7.20810024e-01 2.73225263e-01 5.96471264e-03]\n",
      " [5.20005577e-03 9.94277516e-01 5.22428531e-04]\n",
      " [4.96194905e-02 8.81031762e-01 6.93487479e-02]\n",
      " [3.70194007e-02 9.31389343e-01 3.15912563e-02]\n",
      " [4.54058297e-02 9.05052295e-01 4.95418751e-02]\n",
      " [1.50443959e-02 9.76998435e-01 7.95716888e-03]\n",
      " [2.35241929e-01 7.58257218e-01 6.50085255e-03]\n",
      " [2.98621744e-02 9.63860850e-01 6.27697515e-03]\n",
      " [9.30601886e-02 8.97647887e-01 9.29192429e-03]\n",
      " [3.68802987e-01 6.19967967e-01 1.12290458e-02]\n",
      " [4.92728922e-02 9.44174056e-01 6.55305205e-03]\n",
      " [1.35926389e-02 9.80847459e-01 5.55990184e-03]\n",
      " [2.01674177e-02 9.69267832e-01 1.05647504e-02]\n",
      " [1.37183296e-02 9.82359732e-01 3.92193868e-03]\n",
      " [2.43510879e-02 9.73712746e-01 1.93616591e-03]\n",
      " [1.12167526e-02 9.83873108e-01 4.91013941e-03]\n",
      " [7.83158926e-02 6.99222919e-01 2.22461188e-01]\n",
      " [6.20275791e-03 9.91715780e-01 2.08146230e-03]\n",
      " [9.97174150e-03 9.86686195e-01 3.34206301e-03]\n",
      " [4.81532947e-03 9.93716800e-01 1.46787042e-03]\n",
      " [1.24641437e-02 9.85632729e-01 1.90312732e-03]\n",
      " [7.34932163e-02 5.86589240e-01 3.39917544e-01]\n",
      " [5.88458716e-03 9.91957059e-01 2.15835407e-03]\n",
      " [9.38972076e-01 5.69067018e-02 4.12122248e-03]\n",
      " [2.81121335e-01 7.10020239e-01 8.85842649e-03]\n",
      " [9.92325258e-01 7.16025850e-03 5.14483704e-04]\n",
      " [9.11156121e-01 8.61956102e-02 2.64826917e-03]\n",
      " [9.88769845e-01 1.06811410e-02 5.49013786e-04]\n",
      " [9.15126121e-01 7.55447521e-02 9.32912737e-03]\n",
      " [9.33337911e-02 8.76489161e-01 3.01770477e-02]\n",
      " [9.48921551e-01 4.67429229e-02 4.33552570e-03]\n",
      " [9.41250863e-01 5.60969086e-02 2.65222832e-03]\n",
      " [9.47617500e-01 4.72239768e-02 5.15852269e-03]\n",
      " [8.36754654e-01 1.58990781e-01 4.25456458e-03]\n",
      " [8.20576139e-01 1.75525271e-01 3.89858944e-03]\n",
      " [9.97520612e-01 2.37076370e-03 1.08624693e-04]\n",
      " [2.24009184e-01 7.65190976e-01 1.07998399e-02]\n",
      " [4.92251201e-01 4.93931206e-01 1.38175926e-02]\n",
      " [9.16058871e-01 8.08230436e-02 3.11808493e-03]\n",
      " [9.59605141e-01 3.91551879e-02 1.23967081e-03]\n",
      " [8.76254050e-01 1.07106166e-01 1.66397842e-02]\n",
      " [8.69190172e-01 1.14685836e-01 1.61239919e-02]\n",
      " [1.70981630e-01 8.19525099e-01 9.49327131e-03]\n",
      " [9.95277794e-01 4.43284897e-03 2.89357102e-04]\n",
      " [1.72309133e-01 8.17496518e-01 1.01943490e-02]\n",
      " [8.91850842e-01 9.57536743e-02 1.23954840e-02]\n",
      " [3.08357752e-01 6.85358255e-01 6.28399272e-03]\n",
      " [9.95470485e-01 4.28865986e-03 2.40854854e-04]\n",
      " [9.75293126e-01 2.28713639e-02 1.83550961e-03]\n",
      " [1.77692481e-01 8.17122069e-01 5.18545076e-03]\n",
      " [2.45929397e-01 7.47812577e-01 6.25802648e-03]\n",
      " [9.59269923e-01 3.92755562e-02 1.45452035e-03]\n",
      " [9.62120538e-01 3.54776107e-02 2.40185120e-03]\n",
      " [9.54521780e-01 4.17797713e-02 3.69844860e-03]\n",
      " [8.72967750e-01 1.10162752e-01 1.68694976e-02]\n",
      " [9.58749232e-01 3.96788781e-02 1.57188956e-03]\n",
      " [3.87338149e-01 6.05946875e-01 6.71497601e-03]\n",
      " [6.04718384e-01 3.85120204e-01 1.01614124e-02]\n",
      " [9.34442436e-01 5.89335065e-02 6.62405778e-03]\n",
      " [9.28516801e-01 6.76946523e-02 3.78854623e-03]\n",
      " [9.37043031e-01 6.10549521e-02 1.90201702e-03]\n",
      " [1.36601645e-01 8.58088482e-01 5.30987293e-03]\n",
      " [9.91651126e-01 7.96502482e-03 3.83849113e-04]\n",
      " [9.89062998e-01 1.03527087e-02 5.84293677e-04]\n",
      " [9.26508423e-01 7.01734097e-02 3.31816703e-03]\n",
      " [2.81121335e-01 7.10020239e-01 8.85842649e-03]\n",
      " [9.93015416e-01 6.53081911e-03 4.53764786e-04]\n",
      " [9.78130581e-01 2.04743390e-02 1.39507985e-03]\n",
      " [9.42059811e-01 5.57168016e-02 2.22338686e-03]\n",
      " [4.28249784e-01 5.64005625e-01 7.74459026e-03]\n",
      " [8.90724027e-01 1.06559409e-01 2.71656336e-03]\n",
      " [8.66960363e-01 1.27363113e-01 5.67652435e-03]\n",
      " [3.27097809e-01 6.64839250e-01 8.06294046e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08735696e-05 1.54514657e-04 9.99794612e-01]\n",
      " [9.44220515e-04 3.00915013e-03 9.96046629e-01]\n",
      " [7.42611407e-04 2.25132276e-03 9.97006066e-01]\n",
      " [1.46078516e-03 4.66306027e-03 9.93876155e-01]\n",
      " [1.06762460e-04 3.19533330e-04 9.99573704e-01]\n",
      " [4.08760552e-03 1.26007305e-02 9.83311664e-01]\n",
      " [7.56283832e-04 2.30517899e-03 9.96938537e-01]\n",
      " [3.38508437e-06 1.06778602e-05 9.99985937e-01]\n",
      " [4.56499864e-03 1.41676498e-02 9.81267352e-01]\n",
      " [5.81568898e-04 1.86926666e-03 9.97549164e-01]\n",
      " [1.42417658e-03 4.27329190e-03 9.94302532e-01]\n",
      " [1.88909632e-04 6.07062911e-04 9.99204027e-01]\n",
      " [1.26435698e-03 3.97326740e-03 9.94762376e-01]\n",
      " [5.59991651e-03 1.59383904e-02 9.78461693e-01]\n",
      " [1.01407967e-02 2.63131474e-02 9.63546056e-01]\n",
      " [1.80639765e-02 4.65909880e-02 9.35345035e-01]\n",
      " [3.15621519e-03 8.84500810e-03 9.87998777e-01]\n",
      " [5.02769989e-05 1.53963215e-04 9.99795760e-01]\n",
      " [7.34964204e-03 2.24913065e-02 9.70159051e-01]\n",
      " [7.56983904e-04 2.26504417e-03 9.96977972e-01]\n",
      " [1.32403381e-03 4.40545233e-03 9.94270514e-01]\n",
      " [4.70502126e-04 1.44303976e-03 9.98086458e-01]\n",
      " [2.23807216e-03 6.08016550e-03 9.91681762e-01]\n",
      " [7.08882512e-04 2.47570467e-03 9.96815413e-01]\n",
      " [1.41591487e-03 4.93049209e-03 9.93653593e-01]\n",
      " [1.04473130e-03 3.53491321e-03 9.95420355e-01]\n",
      " [1.02607134e-04 3.38782180e-04 9.99558611e-01]\n",
      " [1.40951512e-04 4.38987582e-04 9.99420061e-01]\n",
      " [1.31722724e-04 4.05143106e-04 9.99463134e-01]\n",
      " [7.38514305e-04 2.41464196e-03 9.96846844e-01]\n",
      " [7.74396681e-04 2.57355388e-03 9.96652049e-01]\n",
      " [1.00083326e-03 3.20348319e-03 9.95795684e-01]\n",
      " [3.96858171e-03 1.10326201e-02 9.84998798e-01]\n",
      " [8.03012212e-03 2.13529747e-02 9.70616903e-01]\n",
      " [4.70650562e-04 1.52929263e-03 9.98000057e-01]\n",
      " [4.80320089e-04 1.43392883e-03 9.98085751e-01]\n",
      " [1.71363272e-03 5.01974617e-03 9.93266621e-01]\n",
      " [2.27920098e-04 6.75076751e-04 9.99097003e-01]\n",
      " [3.74292554e-03 1.12882286e-02 9.84968846e-01]\n",
      " [2.04700480e-05 6.46585324e-05 9.99914871e-01]\n",
      " [9.98075622e-05 2.97845114e-04 9.99602347e-01]\n",
      " [1.47391140e-02 4.57250423e-02 9.39535844e-01]\n",
      " [2.63040991e-03 7.82103278e-03 9.89548557e-01]\n",
      " [7.29406074e-04 2.40333848e-03 9.96867255e-01]\n",
      " [2.99087475e-03 9.99240243e-03 9.87016723e-01]\n",
      " [1.15958597e-03 3.71266140e-03 9.95127753e-01]\n",
      " [8.84982522e-04 2.68898214e-03 9.96426035e-01]\n",
      " [1.05458666e-03 3.25607244e-03 9.95689341e-01]\n",
      " [8.61535145e-04 2.59438306e-03 9.96544082e-01]\n",
      " [4.52533603e-05 1.40749094e-04 9.99813998e-01]\n",
      " [5.11852897e-01 4.70981592e-01 1.71655111e-02]\n",
      " [1.24750051e-01 8.66965061e-01 8.28488792e-03]\n",
      " [6.41115546e-01 3.48625710e-01 1.02587440e-02]\n",
      " [2.97287008e-02 9.54676995e-01 1.55943044e-02]\n",
      " [1.30587569e-01 8.63207271e-01 6.20515942e-03]\n",
      " [3.74432367e-03 9.95601193e-01 6.54482997e-04]\n",
      " [2.18537526e-01 7.72420934e-01 9.04153980e-03]\n",
      " [7.85712609e-02 6.77686360e-01 2.43742379e-01]\n",
      " [1.66428686e-01 8.24214538e-01 9.35677607e-03]\n",
      " [3.96896993e-02 9.30510147e-01 2.98001540e-02]\n",
      " [8.70227124e-02 7.51055843e-01 1.61921444e-01]\n",
      " [6.49618925e-03 9.92135399e-01 1.36841125e-03]\n",
      " [4.30476361e-02 9.37685966e-01 1.92663978e-02]\n",
      " [3.17211728e-02 9.66237981e-01 2.04084668e-03]\n",
      " [3.95053463e-02 9.19340231e-01 4.11544231e-02]\n",
      " [1.93604368e-01 7.91837377e-01 1.45582549e-02]\n",
      " [1.49892291e-02 9.82540018e-01 2.47075319e-03]\n",
      " [1.42723699e-02 9.79546919e-01 6.18071143e-03]\n",
      " [6.30934258e-02 9.30231463e-01 6.67511132e-03]\n",
      " [2.51822458e-02 9.57961711e-01 1.68560434e-02]\n",
      " [1.63097354e-01 8.29163801e-01 7.73884513e-03]\n",
      " [1.32086039e-02 9.82698468e-01 4.09292819e-03]\n",
      " [1.81472825e-01 8.12246900e-01 6.28027491e-03]\n",
      " [2.98459587e-02 9.67640043e-01 2.51399848e-03]\n",
      " [4.17455812e-02 9.52883152e-01 5.37126707e-03]\n",
      " [1.30693016e-01 8.58962107e-01 1.03448774e-02]\n",
      " [4.14028624e-01 5.74651592e-01 1.13197836e-02]\n",
      " [7.20731693e-01 2.73302822e-01 5.96548548e-03]\n",
      " [5.19599685e-03 9.94281911e-01 5.22092466e-04]\n",
      " [4.96234426e-02 8.81016699e-01 6.93598585e-02]\n",
      " [3.70237747e-02 9.31378551e-01 3.15976744e-02]\n",
      " [4.54101770e-02 9.05039159e-01 4.95506637e-02]\n",
      " [1.50477770e-02 9.76992504e-01 7.95971951e-03]\n",
      " [2.35174028e-01 7.58325862e-01 6.50010979e-03]\n",
      " [2.98602755e-02 9.63862469e-01 6.27725522e-03]\n",
      " [9.30391022e-02 8.97669898e-01 9.29100023e-03]\n",
      " [3.68732094e-01 6.20039254e-01 1.12286519e-02]\n",
      " [4.92652269e-02 9.44181998e-01 6.55277469e-03]\n",
      " [1.35950301e-02 9.80843531e-01 5.56143853e-03]\n",
      " [2.01711279e-02 9.69261192e-01 1.05676806e-02]\n",
      " [1.37201356e-02 9.82357007e-01 3.92285713e-03]\n",
      " [2.43391025e-02 9.73725407e-01 1.93549023e-03]\n",
      " [1.12197861e-02 9.83868264e-01 4.91194999e-03]\n",
      " [7.83176154e-02 6.99200908e-01 2.22481476e-01]\n",
      " [6.20502138e-03 9.91712541e-01 2.08243721e-03]\n",
      " [9.97351600e-03 9.86683478e-01 3.34300551e-03]\n",
      " [4.81697124e-03 9.93714501e-01 1.46852779e-03]\n",
      " [1.24611824e-02 9.85635911e-01 1.90290650e-03]\n",
      " [7.34935481e-02 5.86564306e-01 3.39942146e-01]\n",
      " [5.88689506e-03 9.91953682e-01 2.15942335e-03]\n",
      " [9.38970265e-01 5.69086968e-02 4.12103857e-03]\n",
      " [2.81058686e-01 7.10083471e-01 8.85784315e-03]\n",
      " [9.92328414e-01 7.15735397e-03 5.14231584e-04]\n",
      " [9.11124470e-01 8.62266398e-02 2.64889046e-03]\n",
      " [9.88767831e-01 1.06831088e-02 5.49060670e-04]\n",
      " [9.15134284e-01 7.55379810e-02 9.32773519e-03]\n",
      " [9.33311273e-02 8.76490093e-01 3.01787793e-02]\n",
      " [9.48927175e-01 4.67380550e-02 4.33476963e-03]\n",
      " [9.41241204e-01 5.61063762e-02 2.65241933e-03]\n",
      " [9.47624152e-01 4.72182946e-02 5.15755383e-03]\n",
      " [8.36698050e-01 1.59046499e-01 4.25545103e-03]\n",
      " [8.20513132e-01 1.75587473e-01 3.89939433e-03]\n",
      " [9.97518497e-01 2.37279652e-03 1.08706021e-04]\n",
      " [2.23965952e-01 7.65234858e-01 1.07991900e-02]\n",
      " [4.92193457e-01 4.93988768e-01 1.38177752e-02]\n",
      " [9.16033087e-01 8.08482163e-02 3.11869663e-03]\n",
      " [9.59583929e-01 3.91759042e-02 1.24016666e-03]\n",
      " [8.76262434e-01 1.07099677e-01 1.66378892e-02]\n",
      " [8.69197776e-01 1.14679913e-01 1.61223117e-02]\n",
      " [1.70947426e-01 8.19559996e-01 9.49257846e-03]\n",
      " [9.95279269e-01 4.43148856e-03 2.89242151e-04]\n",
      " [1.72273309e-01 8.17533114e-01 1.01935779e-02]\n",
      " [8.91858474e-01 9.57475366e-02 1.23939893e-02]\n",
      " [3.08268311e-01 6.85448257e-01 6.28343236e-03]\n",
      " [9.95470165e-01 4.28898556e-03 2.40849539e-04]\n",
      " [9.75297202e-01 2.28677261e-02 1.83507219e-03]\n",
      " [1.77627387e-01 8.17188097e-01 5.18451515e-03]\n",
      " [2.45851388e-01 7.47891372e-01 6.25724050e-03]\n",
      " [9.59254509e-01 3.92905809e-02 1.45490975e-03]\n",
      " [9.62120609e-01 3.54777356e-02 2.40165514e-03]\n",
      " [9.54526811e-01 4.17753962e-02 3.69779322e-03]\n",
      " [8.72975311e-01 1.10156988e-01 1.68677009e-02]\n",
      " [9.58735561e-01 3.96921953e-02 1.57224342e-03]\n",
      " [3.87242782e-01 6.06042531e-01 6.71468666e-03]\n",
      " [6.04659216e-01 3.85178965e-01 1.01618184e-02]\n",
      " [9.34449633e-01 5.89274203e-02 6.62294659e-03]\n",
      " [9.28505756e-01 6.77054471e-02 3.78879697e-03]\n",
      " [9.37015368e-01 6.10820182e-02 1.90261382e-03]\n",
      " [1.36552508e-01 8.58138627e-01 5.30886492e-03]\n",
      " [9.91647660e-01 7.96837091e-03 3.83969389e-04]\n",
      " [9.89061837e-01 1.03538607e-02 5.84302521e-04]\n",
      " [9.26491000e-01 7.01903793e-02 3.31862082e-03]\n",
      " [2.81058686e-01 7.10083471e-01 8.85784315e-03]\n",
      " [9.93017844e-01 6.52858560e-03 4.53570433e-04]\n",
      " [9.78131052e-01 2.04740115e-02 1.39493626e-03]\n",
      " [9.42040416e-01 5.57356976e-02 2.22388642e-03]\n",
      " [4.28162836e-01 5.64092689e-01 7.74447511e-03]\n",
      " [8.90675908e-01 1.06606717e-01 2.71737427e-03]\n",
      " [8.66932555e-01 1.27390297e-01 5.67714825e-03]\n",
      " [3.27019890e-01 6.64917656e-01 8.06245398e-03]]\n",
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08741901e-05 1.54515762e-04 9.99794610e-01]\n",
      " [9.44193023e-04 3.00904219e-03 9.96046765e-01]\n",
      " [7.42595789e-04 2.25126216e-03 9.97006142e-01]\n",
      " [1.46074356e-03 4.66289532e-03 9.93876361e-01]\n",
      " [1.06763148e-04 3.19533855e-04 9.99573703e-01]\n",
      " [4.08750421e-03 1.26003756e-02 9.83312120e-01]\n",
      " [7.56267231e-04 2.30511530e-03 9.96938617e-01]\n",
      " [3.38495288e-06 1.06773825e-05 9.99985938e-01]\n",
      " [4.56488278e-03 1.41671950e-02 9.81267922e-01]\n",
      " [5.81550859e-04 1.86919589e-03 9.97549253e-01]\n",
      " [1.42414791e-03 4.27318899e-03 9.94302663e-01]\n",
      " [1.88902980e-04 6.07037658e-04 9.99204059e-01]\n",
      " [1.26432328e-03 3.97313499e-03 9.94762542e-01]\n",
      " [5.59980139e-03 1.59379770e-02 9.78462222e-01]\n",
      " [1.01406174e-02 2.63126518e-02 9.63546731e-01]\n",
      " [1.80636320e-02 4.65901073e-02 9.35346261e-01]\n",
      " [3.15615931e-03 8.84482853e-03 9.87999012e-01]\n",
      " [5.02770742e-05 1.53962664e-04 9.99795760e-01]\n",
      " [7.34946168e-03 2.24906889e-02 9.70159849e-01]\n",
      " [7.56970956e-04 2.26499612e-03 9.96978033e-01]\n",
      " [1.32399127e-03 4.40528448e-03 9.94270724e-01]\n",
      " [4.70492572e-04 1.44300390e-03 9.98086504e-01]\n",
      " [2.23804267e-03 6.08006143e-03 9.91681896e-01]\n",
      " [7.08850629e-04 2.47557540e-03 9.96815574e-01]\n",
      " [1.41586246e-03 4.93027197e-03 9.93653866e-01]\n",
      " [1.04469313e-03 3.53475697e-03 9.95420550e-01]\n",
      " [1.02601158e-04 3.38760281e-04 9.99558639e-01]\n",
      " [1.40948831e-04 4.38976936e-04 9.99420074e-01]\n",
      " [1.31720940e-04 4.05135488e-04 9.99463144e-01]\n",
      " [7.38489625e-04 2.41454415e-03 9.96846966e-01]\n",
      " [7.74368877e-04 2.57344236e-03 9.96652189e-01]\n",
      " [1.00080425e-03 3.20337353e-03 9.95795822e-01]\n",
      " [3.96851200e-03 1.10323975e-02 9.84999090e-01]\n",
      " [8.02997755e-03 2.13525605e-02 9.70617462e-01]\n",
      " [4.70634220e-04 1.52922890e-03 9.98000137e-01]\n",
      " [4.80312603e-04 1.43389875e-03 9.98085789e-01]\n",
      " [1.71360078e-03 5.01963287e-03 9.93266766e-01]\n",
      " [2.27919560e-04 6.75071889e-04 9.99097009e-01]\n",
      " [3.74283722e-03 1.12878926e-02 9.84969270e-01]\n",
      " [2.04694226e-05 6.46561830e-05 9.99914874e-01]\n",
      " [9.98082288e-05 2.97845656e-04 9.99602346e-01]\n",
      " [1.47387574e-02 4.57236197e-02 9.39537623e-01]\n",
      " [2.63035195e-03 7.82081547e-03 9.89548833e-01]\n",
      " [7.29380230e-04 2.40323920e-03 9.96867381e-01]\n",
      " [2.99078416e-03 9.99204757e-03 9.87017168e-01]\n",
      " [1.15955155e-03 3.71252577e-03 9.95127923e-01]\n",
      " [8.84964957e-04 2.68891705e-03 9.96426118e-01]\n",
      " [1.05456082e-03 3.25597235e-03 9.95689467e-01]\n",
      " [8.61519251e-04 2.59432434e-03 9.96544156e-01]\n",
      " [4.52526285e-05 1.40745994e-04 9.99814001e-01]\n",
      " [5.11819438e-01 4.71014922e-01 1.71656398e-02]\n",
      " [1.24728894e-01 8.66986896e-01 8.28420996e-03]\n",
      " [6.41075618e-01 3.48665271e-01 1.02591105e-02]\n",
      " [2.97309226e-02 9.54672729e-01 1.55963481e-02]\n",
      " [1.30561537e-01 8.63233944e-01 6.20451946e-03]\n",
      " [3.74424732e-03 9.95601235e-01 6.54517452e-04]\n",
      " [2.18501616e-01 7.72457437e-01 9.04094688e-03]\n",
      " [7.85721461e-02 6.77672312e-01 2.43755542e-01]\n",
      " [1.66403375e-01 8.24240463e-01 9.35616194e-03]\n",
      " [3.96920138e-02 9.30504486e-01 2.98035001e-02]\n",
      " [8.70240013e-02 7.51045215e-01 1.61930784e-01]\n",
      " [6.49604913e-03 9.92135470e-01 1.36848038e-03]\n",
      " [4.30489049e-02 9.37683059e-01 1.92680357e-02]\n",
      " [3.17109103e-02 9.66248712e-01 2.04037756e-03]\n",
      " [3.95077094e-02 9.19333206e-01 4.11590844e-02]\n",
      " [1.93581725e-01 7.91860604e-01 1.45576709e-02]\n",
      " [1.49878747e-02 9.82541414e-01 2.47071136e-03]\n",
      " [1.42741757e-02 9.79543956e-01 6.18186792e-03]\n",
      " [6.30861299e-02 9.30239041e-01 6.67482895e-03]\n",
      " [2.51848412e-02 9.57956437e-01 1.68587215e-02]\n",
      " [1.63068800e-01 8.29192969e-01 7.73823096e-03]\n",
      " [1.32092997e-02 9.82697289e-01 4.09341135e-03]\n",
      " [1.81439023e-01 8.12281238e-01 6.27973855e-03]\n",
      " [2.98388971e-02 9.67647487e-01 2.51361562e-03]\n",
      " [4.17397470e-02 9.52889330e-01 5.37092283e-03]\n",
      " [1.30674644e-01 8.58981103e-01 1.03442535e-02]\n",
      " [4.13985340e-01 5.74694996e-01 1.13196637e-02]\n",
      " [7.20682945e-01 2.73351089e-01 5.96596631e-03]\n",
      " [5.19347248e-03 9.94284644e-01 5.21883428e-04]\n",
      " [4.96259018e-02 8.81007325e-01 6.93667727e-02]\n",
      " [3.70264964e-02 9.31371835e-01 3.16016684e-02]\n",
      " [4.54128820e-02 9.05030985e-01 4.95561330e-02]\n",
      " [1.50498810e-02 9.76988812e-01 7.96130695e-03]\n",
      " [2.35131782e-01 7.58368570e-01 6.49964753e-03]\n",
      " [2.98590946e-02 9.63863476e-01 6.27742962e-03]\n",
      " [9.30259838e-02 8.97683591e-01 9.29042531e-03]\n",
      " [3.68687983e-01 6.20083611e-01 1.12284066e-02]\n",
      " [4.92604583e-02 9.44186940e-01 6.55260218e-03]\n",
      " [1.35965183e-02 9.80841087e-01 5.56239496e-03]\n",
      " [2.01734368e-02 9.69257059e-01 1.05695042e-02]\n",
      " [1.37212597e-02 9.82355312e-01 3.92342878e-03]\n",
      " [2.43316472e-02 9.73733283e-01 1.93506987e-03]\n",
      " [1.12216739e-02 9.83865249e-01 4.91307686e-03]\n",
      " [7.83186871e-02 6.99187212e-01 2.22494101e-01]\n",
      " [6.20643008e-03 9.91710526e-01 2.08304403e-03]\n",
      " [9.97462044e-03 9.86681787e-01 3.34359215e-03]\n",
      " [4.81799308e-03 9.93713070e-01 1.46893697e-03]\n",
      " [1.24593405e-02 9.85637890e-01 1.90276917e-03]\n",
      " [7.34937544e-02 5.86548791e-01 3.39957455e-01]\n",
      " [5.88833140e-03 9.91951580e-01 2.16008890e-03]\n",
      " [9.38969137e-01 5.69099391e-02 4.12092420e-03]\n",
      " [2.81019707e-01 7.10122813e-01 8.85748009e-03]\n",
      " [9.92330378e-01 7.15554693e-03 5.14074744e-04]\n",
      " [9.11104770e-01 8.62459531e-02 2.64927712e-03]\n",
      " [9.88766576e-01 1.06843342e-02 5.49089879e-04]\n",
      " [9.15139363e-01 7.55337676e-02 9.32686896e-03]\n",
      " [9.33294702e-02 8.76490673e-01 3.01798570e-02]\n",
      " [9.48930675e-01 4.67350260e-02 4.33429920e-03]\n",
      " [9.41235193e-01 5.61122690e-02 2.65253823e-03]\n",
      " [9.47628290e-01 4.72147590e-02 5.15695102e-03]\n",
      " [8.36662820e-01 1.59081178e-01 4.25600265e-03]\n",
      " [8.20473918e-01 1.75626187e-01 3.89989517e-03]\n",
      " [9.97517181e-01 2.37406236e-03 1.08756659e-04]\n",
      " [2.23939054e-01 7.65262160e-01 1.07987855e-02]\n",
      " [4.92157524e-01 4.94024587e-01 1.38178887e-02]\n",
      " [9.16017038e-01 8.08638846e-02 3.11907733e-03]\n",
      " [9.59570725e-01 3.91887997e-02 1.24047528e-03]\n",
      " [8.76267650e-01 1.07095639e-01 1.66367102e-02]\n",
      " [8.69202507e-01 1.14676227e-01 1.61212662e-02]\n",
      " [1.70926145e-01 8.19581708e-01 9.49214735e-03]\n",
      " [9.95280187e-01 4.43064244e-03 2.89170656e-04]\n",
      " [1.72251020e-01 8.17555882e-01 1.01930981e-02]\n",
      " [8.91863224e-01 9.57437173e-02 1.23930592e-02]\n",
      " [3.08212662e-01 6.85504255e-01 6.28308354e-03]\n",
      " [9.95469965e-01 4.28918875e-03 2.40846260e-04]\n",
      " [9.75299737e-01 2.28654627e-02 1.83480005e-03]\n",
      " [1.77586891e-01 8.17229176e-01 5.18393292e-03]\n",
      " [2.45802854e-01 7.47940395e-01 6.25675132e-03]\n",
      " [9.59244915e-01 3.92999333e-02 1.45515211e-03]\n",
      " [9.62120653e-01 3.54778139e-02 2.40153318e-03]\n",
      " [9.54529941e-01 4.17726738e-02 3.69738545e-03]\n",
      " [8.72980016e-01 1.10153402e-01 1.68665829e-02]\n",
      " [9.58727052e-01 3.97004848e-02 1.57246367e-03]\n",
      " [3.87183444e-01 6.06102049e-01 6.71450644e-03]\n",
      " [6.04622397e-01 3.85215532e-01 1.01620709e-02]\n",
      " [9.34454112e-01 5.89236331e-02 6.62225520e-03]\n",
      " [9.28498881e-01 6.77121663e-02 3.78895307e-03]\n",
      " [9.36998149e-01 6.10988655e-02 1.90298525e-03]\n",
      " [1.36521940e-01 8.58169822e-01 5.30823768e-03]\n",
      " [9.91645502e-01 7.97045417e-03 3.84044270e-04]\n",
      " [9.89061114e-01 1.03545783e-02 5.84308064e-04]\n",
      " [9.26480155e-01 7.02009416e-02 3.31890326e-03]\n",
      " [2.81019707e-01 7.10122813e-01 8.85748009e-03]\n",
      " [9.93019354e-01 6.52719618e-03 4.53449538e-04]\n",
      " [9.78131345e-01 2.04738084e-02 1.39484696e-03]\n",
      " [9.42028343e-01 5.57474594e-02 2.22419734e-03]\n",
      " [4.28108734e-01 5.64146862e-01 7.74440330e-03]\n",
      " [8.90645958e-01 1.06636163e-01 2.71787890e-03]\n",
      " [8.66915247e-01 1.27407216e-01 5.67753654e-03]\n",
      " [3.26971409e-01 6.64966440e-01 8.06215114e-03]]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------------------\n",
      "Fuzzy Matrix U:\n",
      "\n",
      "[[5.08745763e-05 1.54516449e-04 9.99794609e-01]\n",
      " [9.44175916e-04 3.00897503e-03 9.96046849e-01]\n",
      " [7.42586072e-04 2.25122446e-03 9.97006189e-01]\n",
      " [1.46071768e-03 4.66279269e-03 9.93876490e-01]\n",
      " [1.06763576e-04 3.19534183e-04 9.99573702e-01]\n",
      " [4.08744118e-03 1.26001548e-02 9.83312404e-01]\n",
      " [7.56256902e-04 2.30507568e-03 9.96938667e-01]\n",
      " [3.38487107e-06 1.06770853e-05 9.99985938e-01]\n",
      " [4.56481069e-03 1.41669119e-02 9.81268277e-01]\n",
      " [5.81539635e-04 1.86915186e-03 9.97549309e-01]\n",
      " [1.42413007e-03 4.27312497e-03 9.94302745e-01]\n",
      " [1.88898841e-04 6.07021945e-04 9.99204079e-01]\n",
      " [1.26430232e-03 3.97305260e-03 9.94762645e-01]\n",
      " [5.59972976e-03 1.59377198e-02 9.78462550e-01]\n",
      " [1.01405058e-02 2.63123434e-02 9.63547151e-01]\n",
      " [1.80634177e-02 4.65895593e-02 9.35347023e-01]\n",
      " [3.15612455e-03 8.84471681e-03 9.87999159e-01]\n",
      " [5.02771212e-05 1.53962322e-04 9.99795761e-01]\n",
      " [7.34934946e-03 2.24903047e-02 9.70160346e-01]\n",
      " [7.56962901e-04 2.26496622e-03 9.96978071e-01]\n",
      " [1.32396480e-03 4.40518004e-03 9.94270855e-01]\n",
      " [4.70486627e-04 1.44298158e-03 9.98086532e-01]\n",
      " [2.23802432e-03 6.07999669e-03 9.91681979e-01]\n",
      " [7.08830790e-04 2.47549496e-03 9.96815674e-01]\n",
      " [1.41582985e-03 4.93013500e-03 9.93654035e-01]\n",
      " [1.04466939e-03 3.53465976e-03 9.95420671e-01]\n",
      " [1.02597439e-04 3.38746655e-04 9.99558656e-01]\n",
      " [1.40947163e-04 4.38970312e-04 9.99420083e-01]\n",
      " [1.31719830e-04 4.05130749e-04 9.99463149e-01]\n",
      " [7.38474269e-04 2.41448329e-03 9.96847042e-01]\n",
      " [7.74351577e-04 2.57337296e-03 9.96652275e-01]\n",
      " [1.00078619e-03 3.20330529e-03 9.95795909e-01]\n",
      " [3.96846863e-03 1.10322590e-02 9.84999272e-01]\n",
      " [8.02988759e-03 2.13523028e-02 9.70617810e-01]\n",
      " [4.70624051e-04 1.52918924e-03 9.98000187e-01]\n",
      " [4.80307945e-04 1.43388004e-03 9.98085812e-01]\n",
      " [1.71358090e-03 5.01956238e-03 9.93266857e-01]\n",
      " [2.27919226e-04 6.75068865e-04 9.99097012e-01]\n",
      " [3.74278226e-03 1.12876835e-02 9.84969534e-01]\n",
      " [2.04690334e-05 6.46547212e-05 9.99914876e-01]\n",
      " [9.98086438e-05 2.97845995e-04 9.99602345e-01]\n",
      " [1.47385355e-02 4.57227346e-02 9.39538730e-01]\n",
      " [2.63031589e-03 7.82068027e-03 9.89549004e-01]\n",
      " [7.29364150e-04 2.40317743e-03 9.96867458e-01]\n",
      " [2.99072778e-03 9.99182677e-03 9.87017445e-01]\n",
      " [1.15953013e-03 3.71244138e-03 9.95128028e-01]\n",
      " [8.84954029e-04 2.68887655e-03 9.96426169e-01]\n",
      " [1.05454474e-03 3.25591008e-03 9.95689545e-01]\n",
      " [8.61509362e-04 2.59428780e-03 9.96544203e-01]\n",
      " [4.52521733e-05 1.40744065e-04 9.99814004e-01]\n",
      " [5.11798619e-01 4.71035661e-01 1.71657199e-02]\n",
      " [1.24715731e-01 8.67000481e-01 8.28378813e-03]\n",
      " [6.41050773e-01 3.48689889e-01 1.02593384e-02]\n",
      " [2.97323051e-02 9.54670075e-01 1.55976199e-02]\n",
      " [1.30545341e-01 8.63250538e-01 6.20412127e-03]\n",
      " [3.74419993e-03 9.95601261e-01 6.54538914e-04]\n",
      " [2.18479274e-01 7.72480148e-01 9.04057792e-03]\n",
      " [7.85726967e-02 6.77663571e-01 2.43763732e-01]\n",
      " [1.66387628e-01 8.24256593e-01 9.35577982e-03]\n",
      " [3.96934540e-02 9.30500964e-01 2.98055823e-02]\n",
      " [8.70248032e-02 7.51038602e-01 1.61936595e-01]\n",
      " [6.49596209e-03 9.92135514e-01 1.36852342e-03]\n",
      " [4.30496943e-02 9.37681251e-01 1.92690549e-02]\n",
      " [3.17045261e-02 9.66255388e-01 2.04008570e-03]\n",
      " [3.95091798e-02 9.19328835e-01 4.11619849e-02]\n",
      " [1.93567637e-01 7.91875056e-01 1.45573075e-02]\n",
      " [1.49870322e-02 9.82542282e-01 2.47068536e-03]\n",
      " [1.42752993e-02 9.79542113e-01 6.18258760e-03]\n",
      " [6.30815909e-02 9.30243756e-01 6.67465328e-03]\n",
      " [2.51864560e-02 9.57953156e-01 1.68603880e-02]\n",
      " [1.63051035e-01 8.29211116e-01 7.73784881e-03]\n",
      " [1.32097327e-02 9.82696555e-01 4.09371204e-03]\n",
      " [1.81417993e-01 8.12302602e-01 6.27940481e-03]\n",
      " [2.98345042e-02 9.67652118e-01 2.51337743e-03]\n",
      " [4.17361175e-02 9.52893174e-01 5.37070867e-03]\n",
      " [1.30663214e-01 8.58992921e-01 1.03438654e-02]\n",
      " [4.13958408e-01 5.74722003e-01 1.13195891e-02]\n",
      " [7.20652610e-01 2.73381125e-01 5.96626547e-03]\n",
      " [5.19190228e-03 9.94286344e-01 5.21753391e-04]\n",
      " [4.96274319e-02 8.81001493e-01 6.93710751e-02]\n",
      " [3.70281899e-02 9.31367656e-01 3.16041538e-02]\n",
      " [4.54145652e-02 9.05025899e-01 4.95595363e-02]\n",
      " [1.50511902e-02 9.76986515e-01 7.96229480e-03]\n",
      " [2.35105499e-01 7.58395142e-01 6.49935988e-03]\n",
      " [2.98583600e-02 9.63864102e-01 6.27753819e-03]\n",
      " [9.30178223e-02 8.97692110e-01 9.29006761e-03]\n",
      " [3.68660537e-01 6.20111209e-01 1.12282540e-02]\n",
      " [4.92574917e-02 9.44190013e-01 6.55249487e-03]\n",
      " [1.35974443e-02 9.80839565e-01 5.56299015e-03]\n",
      " [2.01748734e-02 9.69254488e-01 1.05706390e-02]\n",
      " [1.37219592e-02 9.82354256e-01 3.92378453e-03]\n",
      " [2.43270094e-02 9.73738182e-01 1.93480835e-03]\n",
      " [1.12228485e-02 9.83863373e-01 4.91377812e-03]\n",
      " [7.83193539e-02 6.99178689e-01 2.22501957e-01]\n",
      " [6.20730669e-03 9.91709272e-01 2.08342167e-03]\n",
      " [9.97530774e-03 9.86680735e-01 3.34395723e-03]\n",
      " [4.81862899e-03 9.93712179e-01 1.46919163e-03]\n",
      " [1.24581948e-02 9.85639121e-01 1.90268376e-03]\n",
      " [7.34938827e-02 5.86539137e-01 3.39966980e-01]\n",
      " [5.88922522e-03 9.91950272e-01 2.16050310e-03]\n",
      " [9.38968435e-01 5.69107124e-02 4.12085306e-03]\n",
      " [2.80995454e-01 7.10147291e-01 8.85725416e-03]\n",
      " [9.92331600e-01 7.15442268e-03 5.13977170e-04]\n",
      " [9.11092510e-01 8.62579724e-02 2.64951772e-03]\n",
      " [9.88765795e-01 1.06850969e-02 5.49108068e-04]\n",
      " [9.15142524e-01 7.55311458e-02 9.32632998e-03]\n",
      " [9.33284392e-02 8.76491033e-01 3.01805277e-02]\n",
      " [9.48932852e-01 4.67331412e-02 4.33400651e-03]\n",
      " [9.41231452e-01 5.61159362e-02 2.65261223e-03]\n",
      " [9.47630865e-01 4.72125592e-02 5.15657597e-03]\n",
      " [8.36640896e-01 1.59102759e-01 4.25634589e-03]\n",
      " [8.20449515e-01 1.75650278e-01 3.90020680e-03]\n",
      " [9.97516361e-01 2.37485035e-03 1.08788180e-04]\n",
      " [2.23922319e-01 7.65279147e-01 1.07985338e-02]\n",
      " [4.92135166e-01 4.94046874e-01 1.38179593e-02]\n",
      " [9.16007050e-01 8.08736354e-02 3.11931424e-03]\n",
      " [9.59562507e-01 3.91968253e-02 1.24066734e-03]\n",
      " [8.76270896e-01 1.07093127e-01 1.66359765e-02]\n",
      " [8.69205451e-01 1.14673933e-01 1.61206157e-02]\n",
      " [1.70912905e-01 8.19595216e-01 9.49187910e-03]\n",
      " [9.95280758e-01 4.43011611e-03 2.89126184e-04]\n",
      " [1.72237153e-01 8.17570048e-01 1.01927996e-02]\n",
      " [8.91866179e-01 9.57413407e-02 1.23924804e-02]\n",
      " [3.08178038e-01 6.85539095e-01 6.28286644e-03]\n",
      " [9.95469840e-01 4.28931538e-03 2.40844231e-04]\n",
      " [9.75301315e-01 2.28640544e-02 1.83463074e-03]\n",
      " [1.77561697e-01 8.17254732e-01 5.18357063e-03]\n",
      " [2.45772658e-01 7.47970895e-01 6.25644690e-03]\n",
      " [9.59238943e-01 3.93057538e-02 1.45530293e-03]\n",
      " [9.62120680e-01 3.54778627e-02 2.40145730e-03]\n",
      " [9.54531888e-01 4.17709799e-02 3.69713175e-03]\n",
      " [8.72982943e-01 1.10151170e-01 1.68658873e-02]\n",
      " [9.58721756e-01 3.97056438e-02 1.57260074e-03]\n",
      " [3.87146524e-01 6.06139081e-01 6.71439424e-03]\n",
      " [6.04599487e-01 3.85238285e-01 1.01622281e-02]\n",
      " [9.34456898e-01 5.89212766e-02 6.62182502e-03]\n",
      " [9.28494602e-01 6.77163479e-02 3.78905022e-03]\n",
      " [9.36987433e-01 6.11093503e-02 1.90321638e-03]\n",
      " [1.36502922e-01 8.58189231e-01 5.30784740e-03]\n",
      " [9.91644158e-01 7.97175087e-03 3.84090879e-04]\n",
      " [9.89060663e-01 1.03550251e-02 5.84311528e-04]\n",
      " [9.26473406e-01 7.02075149e-02 3.31907903e-03]\n",
      " [2.80995454e-01 7.10147291e-01 8.85725416e-03]\n",
      " [9.93020294e-01 6.52633180e-03 4.53374330e-04]\n",
      " [9.78131526e-01 2.04736823e-02 1.39479142e-03]\n",
      " [9.42020830e-01 5.57547792e-02 2.22439083e-03]\n",
      " [4.28075072e-01 5.64180570e-01 7.74435857e-03]\n",
      " [8.90627319e-01 1.06654488e-01 2.71819292e-03]\n",
      " [8.66904477e-01 1.27417745e-01 5.67777818e-03]\n",
      " [3.26941244e-01 6.64996793e-01 8.06196267e-03]]\n"
     ]
    }
   ],
   "source": [
    "centers, labels, acc = fuzzy_c_means(df, \n",
    "                                     fuzzy_matrix, \n",
    "                                     n_sample, \n",
    "                                     c, m, \n",
    "                                     max_iter=20, init_method='random') # multi_normal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 'setosa', 1: 'versicolor', 2: 'virginica'}"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target_dicts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(set(labels[0:50]), key=labels[0:50].count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(set(labels[50:100]), key=labels[50:100].count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(set(labels[100:]), key=labels[100:].count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 0,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 1,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 0,\n",
       " 1]"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster center vectors:\n",
      "[[6.80708536 3.05986103 5.68312238 2.06082495]\n",
      " [5.88746183 2.75258809 4.36914763 1.40571013]\n",
      " [5.00539655 3.41794861 1.47835686 0.25278714]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Cluster center vectors:\") #final cluster centers\n",
    "print(np.array(centers))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_random_init_iris_sepal(df_full):\n",
    "    sepal_df = df_full.iloc[:,0:2]\n",
    "    sepal_df = np.array(sepal_df)\n",
    "    \n",
    "    m1 = random.choice(sepal_df)\n",
    "    m2 = random.choice(sepal_df)\n",
    "    m3 = random.choice(sepal_df)\n",
    "\n",
    "    cov1 = np.cov(np.transpose(sepal_df))\n",
    "    cov2 = np.cov(np.transpose(sepal_df))\n",
    "    cov3 = np.cov(np.transpose(sepal_df))\n",
    "    \n",
    "    x1 = np.linspace(4,8,150)  \n",
    "    x2 = np.linspace(1.5,4.5,150)\n",
    "    X, Y = np.meshgrid(x1,x2) \n",
    "\n",
    "    Z1 = multivariate_normal(m1, cov1)  \n",
    "    Z2 = multivariate_normal(m2, cov2)\n",
    "    Z3 = multivariate_normal(m3, cov3)\n",
    "    \n",
    "    # a new array of given shape and type, without initializing entries\n",
    "    pos = np.empty(X.shape + (2,))\n",
    "    pos[:, :, 0] = X; pos[:, :, 1] = Y   \n",
    "\n",
    "    plt.figure(figsize=(10,10))\n",
    "    plt.scatter(sepal_df[:,0], sepal_df[:,1], marker='o')     \n",
    "    plt.contour(X, Y, Z1.pdf(pos), colors=\"r\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z2.pdf(pos), colors=\"b\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z3.pdf(pos), colors=\"g\" ,alpha = 0.5)\n",
    "    # making both the axis equal\n",
    "    plt.axis('equal')                                                                 \n",
    "    plt.xlabel('Sepal Length', fontsize=16)\n",
    "    plt.ylabel('Sepal Width', fontsize=16)\n",
    "    plt.title('Initial Random Clusters(Sepal)', fontsize=22)\n",
    "    plt.grid()\n",
    "    plt.show()\n",
    "    \n",
    "plot_random_init_iris_sepal(df_full)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_random_init_iris_petal(df_full):\n",
    "    petal_df = df_full.iloc[:,2:4]\n",
    "    petal_df = np.array(petal_df)\n",
    "    \n",
    "    m1 = random.choice(petal_df)\n",
    "    m2 = random.choice(petal_df)\n",
    "    m3 = random.choice(petal_df)\n",
    "    cov1 = np.cov(np.transpose(petal_df))\n",
    "    cov2 = np.cov(np.transpose(petal_df))\n",
    "    cov3 = np.cov(np.transpose(petal_df))\n",
    "\n",
    "    x1 = np.linspace(-1,7,150)\n",
    "    x2 = np.linspace(-1,4,150)\n",
    "    X, Y = np.meshgrid(x1,x2) \n",
    "\n",
    "    Z1 = multivariate_normal(m1, cov1)  \n",
    "    Z2 = multivariate_normal(m2, cov2)\n",
    "    Z3 = multivariate_normal(m3, cov3)\n",
    "\n",
    "    pos = np.empty(X.shape + (2,))\n",
    "    pos[:, :, 0] = X; pos[:, :, 1] = Y   \n",
    "\n",
    "    plt.figure(figsize=(10,10))\n",
    "    plt.scatter(petal_df[:,0], petal_df[:,1], marker='o')     \n",
    "    plt.contour(X, Y, Z1.pdf(pos), colors=\"r\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z2.pdf(pos), colors=\"b\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z3.pdf(pos), colors=\"g\" ,alpha = 0.5) \n",
    "    plt.axis('equal') \n",
    "    plt.xlabel('Petal Length', fontsize=16) \n",
    "    plt.ylabel('Petal Width', fontsize=16)\n",
    "    plt.title('Initial Random Clusters(Petal)', fontsize=22)\n",
    "    plt.grid()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dYq6ioqIZn//d736Xd77znfz2t7/lt7/9LSkpKaxZs4bt27fzrne9a0qLurG/N9PN5p5urB5ZURSSkpIoKSnhiiuuYPHixVPe29NPPz1j4D3TezuT2tpa3vve956x5+xMf7/OJCUlBYDBwcFzPlaIi0ECrBAXwOm37efCxz72Mfbu3cuGDRv4/Oc/z9KlS0lNTcVqtRIOh6e9bf96nd4HNhQK8bGPfYzf/e533HHHHaxdu5a8vLzxxw8ePMinP/1pLBYLX/va17j22mvJz88nKSkJRVH46le/yve+970ZN0B4I67z2GufaUbubBs0nGmcF+o9rFixAlVVCYfDHD16NG7R0cU00yr0pKQkHnvsMfbv38+zzz7L3r17xxcO3X333dx555187nOfm/XrjK2WX7lyZVwZx3ROv+UPnHGx4oIFC9i/fz/PPfccO3bsYO/evbz88su88MILfPOb3+SXv/xlXCnEWLnHbILfbGrXx95bZWXlWbtHnO3x073//e+nurqat7zlLXziE59gwYIFpKSkoGkatbW1rF279rw2GBkL8WcL3EK8USTACvFXYHh4mGeeeQZN0/jNb34z5T+Z+vr6N2QcdrudH/zgBxw4cIC6ujq+8Y1v8MMf/nD88cceewzDMPjIRz7Cxz72sSnHX8hxjgXnjo4OwuHwtLOw07XSGpsh7ejoIBQKTXsbfGwGbXI4f6N5PB42bNjArl27ePDBBy9YgB27TsPDw9M+frb2Y2vXrh0PXeFwmIceeohPfOITfPOb3+Smm24aL/c4m7FZ7C1btvC1r31ttsOfNavVyrXXXju+0NDr9fLNb36Te+65h4997GNUVVWNP3fsNn9/f/8Fee2x97Z48eJzXqx5JqdOneLEiRNkZWVx//33T5mVfz1/vwYGBoDpO4sIMRfmftpICDFuLDyca6/GoaEhdF3H5XJNO0Py0EMPXYjhzYrD4eA//uM/APj1r38d95/m2H+C091i7+3t5YUXXrhg4ygsLKSkpARd13nkkUemfb2xbgmTFRQUUFpaiq7r/Pa3v53yeCQSGb+el1566QUb7/n4zGc+A8DPf/5zDhw4cMbnRqPRGfvsTpaZmYnNZqO/v3/a29fnsqjIZrPx3ve+l3Xr1mEYRtxiq7N9r4/NgD755JPjNdIXk8fj4Wtf+xqqqtLR0RH33pcvXw6YC8suhMsuuwyr1cqLL76I1+ud9XFnu2Zjf79yc3OnLSl5Pf8OjL33sV60Qsw1CbBCvImMzejV19ef03/a2dnZeDweBgcHp/wn9eyzz/L//t//u6DjPJu3vvWtrFu3jlgsNt6yCCYWW/3mN78ZX1AC5q3ZO+6444LX133kIx8BzJZFjY2N458PhUJ89rOfnbEOd6zJ/je+8Q1OnTo1/vlYLMa///u/09LSQlFR0bRdFt5IV1xxBR/96EeJRCLceOONPPjgg1Nu8RuGwUsvvcTVV189bZA/ndVqHe/F+o1vfCPudvPu3bv5xje+Me1xP/3pT6mpqZny+cbGxvHZzMl1qWPf6zPVaq5cuZLrrruO+vp6PvjBD9LW1jblOZ2dnfzP//zPOf1dCQQC/OhHP5o2nD/99NPouk5KSkpcl4gtW7YAzOoHgNnIzs7mtttuY3BwkFtuuSXue2yM1+vll7/8ZdyiqbEfLrq7u6cNvuXl5aiqSlVV1ZRuFvfffz8PP/zweY957L2PXQsh5pqUEAjxJlJcXMzy5cs5cuQImzdvZsWKFdjtdiorK/n4xz8+43GapvGZz3yGL3/5y/zjP/4j9957L8XFxTQ0NHDgwAE+85nP8N3vfvcNfCfwla98heuuu46HHnqIf/3Xf6W8vJz3ve993HPPPRw+fJiVK1eyYcMGDMNg165d2Gw23ve+93H//fdfsDF85CMf4YUXXuCZZ55hw4YNbN26leTkZPbs2UMwGOTd7373tL1gb7vtNvbu3cvDDz/MpZdeypYtW/B4PBw4cIDGxkY8Hg/33Xff61plf6F84xvfIDU1le985zt89KMf5Ytf/CJr1qzB4/EwNDTEoUOH6OrqQtO0uJ2ozuQLX/gCu3fv5uc//zk7d+5k4cKFtLS0cOjQIT796U/zne98Z8oxv/jFL/jsZz9LaWkpixYtwuVy0dXVxZ49ewiHw7zjHe9gzZo1489ft24dOTk5HD58mMsuu4yFCxditVpZv34973vf+wCznvSWW27hiSee4Nlnn2Xp0qUUFRXh8/loa2ujuroaXde59dZbZ91KLBwO86UvfYm77rqLxYsXj4e+hoYGDh48CJjfu1ardfyYDRs2kJGRwb59+xgeHj6vzQxO99WvfpXOzk5+//vfs3HjRpYtW0ZJSQnBYJC2tjZOnTpFOBzm1VdfHa9ft1qtXH311TzxxBNs2bKFDRs24HA4yMjI4Ctf+QqZmZl8+MMf5t577+X6669n8+bN5OTkcOLECU6cOMGnP/1pvve9753zWAcGBjhy5AiFhYUyAyveNGQGVog3mV/96lfceOONDAwM8Mgjj/CrX/2Kp59++qzHfexjH+O+++5j3bp1nDx5kqeffhpN0/jf//1fvvzlL78BI4+3efNmrr76amKx2HirLY/HwwsvvMAHP/hBkpOT+ctf/sKhQ4e4/vrreemll6YtLXg9NE3j17/+NV/5ylcoLi7mxRdf5OWXX2bTpk288MILM7ZZUhSFe++9l3vuuYc1a9awb98+Hn/8cXRd58Mf/jCvvPLKjLtwvdEUReHzn/88+/fv5+Mf/zhFRUXs27ePRx99lD179lBYWMinPvUp9u7dy2233Tarc65fv57HHnuMbdu20dbWNl42cM899/ClL31p2mO+9KUv8aEPfQi3282rr77KY489Rn19PZs3b+YXv/jFlE4Cdrudhx9+mGuuuYampiZ+97vf8atf/Spu5jAlJYU//vGP3HPPPWzatImGhgYef/xxDh06hKZp3HrrrTz66KPntLucy+Xie9/7HjfccAPBYJDnn3+eP//5zwwODnLzzTfz7LPPcuutt8YdY7PZeP/7308gELhgvZStViv/93//x69//WuuueYaOjs7+dOf/sSrr75KLBbj7//+77n//vvHO16M+cEPfsA//MM/oOs6v//97/nVr34VN7P+rW99i7vvvpulS5fy2muv8cwzz5CVlcXDDz/MBz7wgfMa60MPPUQkEuGDH/zgm2LBqhAAitfrPffliEIIIcTfkJaWFtasWcOaNWv485//PNfDeUNt27aNmpoaDh8+LIu4xJuG/CglhBBCnEVRUREf+chH2L17Nzt27Jjr4bxhnnrqKQ4fPszHP/5xCa/iTUVmYIUQQohZGBoaYu3atZSUlJzzFq+JyDAMtm7dSn9/P/v27SMpKWmuhyTEOAmwQgghhBAioUgJgRBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAiobypA+x//ud/4vF44j7mz58/18MSQgghhBBzyDLXAzibyspKnnjiifE/a5o2h6MRQgghhBBz7U0fYC0WCzk5OXM9DCGEEEII8Sbxpi4hAGhsbGTRokUsX76cW2+9lcbGxrkekhBCCCGEmEOK1+s15noQM3nmmWfw+/1UVlbS29vLt7/9bWpqatizZw/p6elzPTwhhBBCCDEH3tQB9nR+v5+VK1fyyU9+kn/5l3+Z6+EIIYQQQog58KYvIZjM5XKxcOFC6uvr53ooQgghhBBijiRUgA0Gg9TU1MiiLiGEEEKIv2Fv6i4EX/rSl7j22mspLCwcr4ENBALccsstcz00IYQQQggxR97UAba9vZ3bbruNvr4+MjMzWbt2Lc888wzFxcVzPTQhhBBCCDFHEmoRlxBCCCGEEAlVAyuEEEIIIYQEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiQUCbBCCCGEECKhSIAVQgghhBAJRQKsEEIIIYRIKBJghRBCCCFEQpEAK4QQQgghEooEWCGEEEIIkVAkwAohhBBCiIQiAVYIIYQQQiSUhAqw3/3ud/F4PPzrv/7rXA9FCCGEEELMkYQJsPv27eO+++5jyZIlcz0UIYQQQggxhxIiwA4ODvKP//iP/PCHP8Tj8cz1cIQQQgghxBxKiAD7yU9+khtuuIFt27bN9VCEEEIIIcQcs8z1AM7mvvvuo76+np/85CdzPRQhhBBCCPEm8KYOsDU1NXz1q1/lz3/+Mzabba6HI4QQQggh3gQUr9drzPUgZvLAAw9wxx13oGna+OdisRiKoqCqKu3t7djt9jkcoRBCCCGEeKO9qQOs1+ulvb097nN33HEH5eXlfPrTn2bRokUoijJHoxNCCCGEEHPhTV1C4PF4pnQdSEpKIi0tjcWLF8/NoIQQQgghxJxKiC4EQgghhBBCjHlTlxAIIYQQQghxOpmBFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREJ5UwfYe++9l02bNlFUVERRURFXXXUVTz/99FwPSwghhBBCzCHF6/Uacz2ImTz55JPYbDbKy8vRdZ0HH3yQu+++mxdffJGlS5fO9fCEEEIIIcQceFMH2OmUlpZy11138aEPfWiuhyKEEEIIIeaAZa4HMFuxWIw//OEPDA8Pc8kll8z1cIQQQgghxBx50wfY48ePc/XVVxMMBklOTub+++9nyZIlcz0sIYQQQggxR970JQThcJjW1lYGBwf54x//yH333ccTTzzB4sWL53poQgghhBBiDrzpA+zpbrjhBoqKivjRj34010MRQgghhBBz4E3dRms6uq4TDofnehhCCCGEEGKOvKlrYL/yla9w9dVXU1BQgN/v5+GHH+aVV17hd7/73VwPTQghhBBCzJE3dYDt6uri9ttvp7u7m5SUFJYsWcLDDz/MFVdcMddDE0IIIYQQcyThamCFEEIIIcTftoSrgRVCCCGEEH/bJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIRKKBFghhBBCCJFQJMAKIYQQQoiEIgFWCCGEEEIkFAmwQgghhBAioUiAFUIIIYQQCUUCrBBCCCGESCgSYIUQQgghREKRACuEEEIIIeaMYZz7MZYLPwwhhBBCCCFmNjwMjY0qDQ3mx8c+Fj6n4yXACiGEEEKIi8owoLNTobZWpb5epaNDPa+Z1zESYIUQQgghxAUXCJizrHV1Ko2NKn6/csHOLQFWCCGEEEK8boYB3d0KNTXmLGt7++ubZT0TCbBCCCGEEOK8RKPQ0qJSU2N+DA3NfpY1N9dg3rwYpaX6Ob+uBFghhBBCCDFrPh/U1anU1Wk0NqqEZ7n+ymaDsjKd8vIY5eU6LhdgGChdXRjkntMYJMAKIYQQQogz6u1VOHXKnGVtb599F9bsbIPy8hhlZTqFhQaaBni9qLWNqI2NqE1NKIEAoTvvPKfxSIAVQgghhBBxdB3a2hTq6lROndLo65tdaYDFYs6yVlTEmDdPJyUFCIVQW1pQX2hEra9H6et73eOTACuEEEIIIYhEoL5e5dQpcxFWIDC70OpyGZSX61RW6pSW6lgtBkpnJ+qxBtSGBtTWVjMRX0ASYIUQQggh/kaFQlBba86y1tWpRCKzO66gQGfePJ2KCp2cHAMlHDLD6tO15izr8PDsB+FwnPO4JcAKIYQQQvwN8fmgtlajpsbszxqLnf0YVYWSEp0FC8zyALfLQOnpQa2rQ32uHrWtjVmdaPRkekEBelkZelkZRu65LeACCbBCCCGEEH/1vF44eVKjunr2i7AcDpg3L0ZFhU55uY5Di5izrC+PzrL6fLN+fSM93QysJSXoJSXnNes6meL1ei9Si1khhBBCCDFXzie0pqQYLFigU1kZM7sGBHyodXVotbWojY3MusbAbkcvLUUvKyNWVgYeD2BudjAyAl6vwvCwwvAwDA8rbN48y9nbUTIDK4QQQoi/CU2+CF9/zUdHIEZeksaXVrspcVvfkHNfzNceYxjQ1TXW7kqju3t2i7DS0szQumBBjLxcHbWzA7W2Fu35OpTOztm/fno6ekUFsfJyovlFeH0WenoUeo8p9PUpeL0K/f0qweDUYyXACiGEEEKcpskX4e1P99HgmwhK+3vC/OGajNcdJM927ov52oYBPT0KVVUqJ05oeL2zC635+WbXgMpKncy0KFpzE+rhatRHalH8/tm9uNWKXlpKoLCC9uRyuoMeOjsVup9T6etTZl0Sez4kwAohhBDir97XX/PFBUiABl+Mr7/m495t6Rf13Bf6tQ0DursVqqtVqqs1envPHloVxewcsGiRzvz5MVJsQXMB1q5atPp6pp0WnUbMlUJn9jJakufTpufR3mmlr2b228deKBJghRBCCPFXryMw/XRg5wyfv5DnvhCvbRjQ3q5w6pRZ0zowMLvQWlRkdg6YPz9Giu5Fq6lBfaIGtaVlVr1ZgzErLY4KWpIW0KyW0u5PJVz/+gKrxWKWLbjdBsnJBsnJ53GO1zUCIYQQQogEkJekTfv53Bk+fyHP/Xpeu7dX4fjx2ZcHjO2ENX++2T0gOTSAevIk6qPVqB0dZz1+OGylOZhDk3MBTUopneRgRGwweNZDp3C5DDIzJz7S0nTS0w3cbjNcvx7ShUAIIYQQf/Wmq0Mtc2sXrQZ28rnP5bUNwwytVVWzLw9QVTO0LloUo7IihnOgA7WmBq2mBqWn54zHBqMWmgc9NITyabBU0mUtxEhNNU86S4oCmZkGOTnmpgbZ2TrZ2QZJSbM+xTmTACuEEEKIvwljnQA6AzFyL1IXgpnOfbbHe3sVTpxQOXlSo6/v7KFV08zQumBBjIp5UZL7W9FOnkStrj7jIqyortI6lEqDN536WDHtlmL0tAyMc5gWTU42KCgwyM/XycvTycszsNtndegFIwFWCCGEEGIODA5CdbXG8eManZ2zKw8oL58IrY6uZrOm9eTJGUOrYUDvSDL1A+nUD2bSZBQT9mRjZGRgzHIzgcxMg8JCffTDwOMxps+6hgGBAEp/P8rQEIrfb47L70cZGTF36orFQNdRDAPD4cBISgK3m+jll89qLOPX4pyeLYQQQoi/aW9EP9PztbNjhI++Mog3pOOxq/z40lQ25znnelhxfD5zc4GqKpW2trPfph/bwnXx4hjz54VJ6mhAPXUK9dlalEBg2mNGIhYavOnUeTOpH8xgyJ6NkZmJXpEBNtsZX09RICfHoLhYp6jIDK1TSgEMA7yDqL29KD095sfAAGp//6y7GQBMzsASYIUQQghxUVzMfqav186OEW54up/o6H3loUiMG57u57Fr0uc8xI6MQHW1yvHjGi0tKsZZ7n2rKpSW6ixcGGN+eYTkzgbUEyfQnqmBcHjK8w0DOofd1A1kUtufQVsgHT0tHT09HaMs3Zy6PYOsLIOSEp2SEjO0OidfrlgMpbMHpasLtavL/LW7e9pxvJEkwAohhBBiVi5mL9XX66OvDI6H1zFRw/z8kZvf+AAbCkFtrVnTWlennrWpv6LEz7QmdzagVlejvlBr3n4//fxRjXpvBnUD5ocvlmwG1qIsDI/njIuw3G6DsjKd0lIztLpckx70+VCr21Hb21Ha2lA7O2e/fewbSAKsEEIIIWblYvZSfb28oel7mg7O8PmLIRaD+nqV48fNrVyj0bMfU1Cgs3ChzsKKEJ7uWtTqarRna6ed4ewbSaKmP5O6gUyaBz1ENRtGejpGeQZGWtqModVqheJiM7DOm6eTkTFaw2oYKD09qKdaUVpbUVtbUQbPo1/WaS9mpKdjeDwYbjdGcjKGywXJyRiaZq4+0zRQFDOY+/0oAwPn/DISYIUQQggxKxezl+rr5bGrDEWmBulU++zbQZ0Pw4C2NoXjx8261pGRsy/Gysszd8RaOD9C2kAj6vHjaC+fmhJadUOh3efmVH82p/oz6Q24MGw2cwFWYYbZ7mqGzgHZ2Qbz5umUlcUoLDTMKgJdN0sA9rWgNjejtLZOO7s7Kw4HemYmRlYWRlYWekYGRno659Lk9fV0EZAuBEIIIYSYlYvZS/X1Or0GFsCicFFqYA0DOjsVqqrM0Do0dPbAlpZmsGRJjCULI2QONaBWVaHV1ExZ9BSOaTR406nuy6J2IJNAxIZhtZqhNSsLIyVl2oBotZpttcrLY8ybp5OSwsQMa1OT+dHSck6LrMbfr8uFkZeHnp2NkZuLnp0NZwjPbwQJsEIIIYSYtYvZS/X1GutCMBjSSb0IXQgGB+HYMY1jxzT6+88e3lJTjfGZ1vxQI1rVCdSamimznsNhK6f6s6juz6LRm0FUVydmWjNmnmlNTzeoqDBD6/gs6+AgamOj+dHUhDI8fG5vUtPQc3MxCgrQ8/PR8/LmPKxORwKsEEIIIcQMgsGJDgLNzWfvIOB0mqF1yeIohbRiqT6JWlU1pU+rN+igui+LU/3ZNA96MFDM0JqZaX6kpEw5t6qataxmaDW3ZSUcRm1pQW1oQK2vR+nrO+t7MgyI6BrhmEbEmoRSmEdyRQ5GYQFGXp45nfsGMoxzz8cSYIUQQggxa2frA/t6Hr/YPWZne/5w2OwgUFUV30FgMKyzoyOEL2LgtipszbOTalOxWs0NBpYsjlKR3I6t+oQZWn2+8XN6QzqPN9qo6c9mIJBLqiUNh6aY5QHp6WZ5wDQznQ4HlJXFqKw0F2A5HaNlAfX15kdrK6e3OIjpCgNBJ30jyfSOJDEUcjAYcpi/6ikEk9IxUlPNj6QkUBSsVsjIMEhPN7eBXbw4Rmrqxb/uJ0+qvPKyxm3/eG6dDiTACiGEEGJWzlYD+3oeBy5qfe3ZxmYY0NKicOSIRnW1NqUJwGBY5ze1Abzh0dikGmQVRfnxzU62FXlxnDqGduJE3Ip6w4AOv5sDnVk8WJ1Gf9DcESCiWhjxpLNpaQGurLQpoTU11WD+fJ2KihhFRQZaLGyWBNTWmrOso8HYMGAobKfL76Y74KbT76In4GIgmIRujJ5T0ybCqseDkZw8q+tls8EVV0RYsUJ/XdUDM133h6/IoH6/kwN/GURtaeHffrPwnM4rXQiEEEIIMStn6wP7eh4f+/1Mx16ssX/p+WFu82Rw4oSG1ztzUtvRETLDa2oE8oOkpvZQ2V9D7++bcbmHxp9nGNDiS6W6N5vq/my8QSfV3gjdYYVedxpd7gy8TjcoKqERC9ePpsOcHIP582PMn6+TlWWgDvSbgXV3nbn4KhYjElNpG3bTOlRC61AqrT4PgchpO2spitm+yuMZb2V1Pgk0HIY//9lKc3OM66+PnneInfa6d8Dt34ardD/ayZOgn3urMwmwQgghhJiVs/WBfT2Pz3Q7+EL1mI177aAKnXZot3NYd7Cr4sxxKC3NQLUEcKi9LPNVsbzjFIVVXQDYXBq6K5nmQQ9VfdlU92XjD9vNAzUNPSudamcSxxQ3hjq53ZhBJDXMFVdYqazUSUuJorS0oB2pRa2rQ+nvZzhspdXnoWVoHi1DHjr9bmLG1LZghsNhhtW0NLMM4Sw7b4FZ5mqzmQu/QiFlxuYEx49rrFgRo6Tk/G7Yx113A2hxwEkXodgg2kjTeYVXkAArhBBCiFk6Wx/Y1/v4uT52LnLsGnTaoM0BPTbAnFJ0pU0/tehyGSxZorOoMkS+vwbHw3voO16DOrqKyzAUBoNphEYKubuvkOHIaGhVFIyMdPSsLLMvqqoSaxrBGIiCakBGGLLDkB1iXbnCBncD6o5TaPX1+Id0mgc9NA1l0TQ4n96Aa9qxoaoTgTUtDcPhmHb8GRnmR1qaQUrKxEdycvykrGHA8DD09Sm0t6vs3GmJ23wrFFI4366t41/zkALH3dBtJ2eoh4W+Zkg1Y2iq/dx70UqAFUIIIcSsfGm1m/094Sn1jF9a7b4gj5/psfNhGNDUpHDsmEbB0Ww8J0YmalgBj81ciDXGYoHKyhjLFoUpN2qxVFeh/c7cFevdus6vLQqNg+n0DOfS689FxcHSdCvDmoKRmmqG1szMuBlQiwXef6nGD3sGaXONkBoZZGFXA5dWN/GxDh+NgTQavOk0eFfSM1NgZXSWNT3d/EhJGd91y2aDrCydnByD7GyD7GydzEwDu33GU02hKOBymaG3pCTGkSPxbcJSUs5/udQXV7nZdQja9idBSKG0v5UFQx2UpJt1zQsyunlrxQlg6zmdVxZxCSGEEGLWztYH9vU8fqF6zHq9cOSI2a91cHAiiI11EfBHDFyjXQQ8dpXSUp3Fi2MsdLWQdOooWlXVeMN/w4DmIQ8nenM41JXFiX6NsA42FQrz03DmZqNnZppJcpTNBhUVMRYs0JlXFsPu7abn0Ameff4o/uYIvmAWqZYcBkbSJhZbnU4xQ7GRnm7OsjrNfrapqQaFhTqFhQYFBaP1shdws7ETJ1Qeeyz+mn/qUyGmmeQ9q0AA/vIXC3sOK7zSGiCzsYbMgJcSt4VUW4xryqtZlt1J9C3Xoq9ceU7nlgArhBBCiIQ3uV9rU9PZE112tsHSpTGW5PWS2jTaQaC/HxjdHtaXQlVvDid6c/CFJ9Kb4XRiZGejZ2UxOdXZ7ebs7cKFOmUlUaydrWi1tfgPN1DfaKF2IJNGbzqh2Mw3v8dbaqWnY3g8KBaN3FwzrBYW6hQU6LjPNCGt6xAIoIRCEAyav4bDZolBSoq5oOsMPV6HhuDnP7fFbYdbVKTzvvedW4srgJoalaeesuD3KyiBgNlWbHQDhwL3IG9fcIw0V4TIDTegz59/zueXACuEEEKIhBSLmf1ajx83+7X2Babv0zrG5TJYuFBnWamXgoETqCdOoHZ0AGZorRlI5nenMqgdyCUWc1Litpi9Wsc2GMjKMkPgKLvdnGlduFBnXnEYW2sjnDxF+2s91LUlUTuQQffwmUsgDKfTDKwZGZDiJjfPoLjYoKREp7BQn1oKoOsog4Movb0ofX0o/f3mnwcHUYaGpvSEnfJ6SUkYeXlEN2/GKCgY//zwMPzmNza6uyfCq6bBhz4UJuAIz7o/r88Hzz5r5eRJ87orXV1odXWg62iKzpbiBjYWNKKmJBN5+9sxiorOON6ZSIAVQgghRELp6zP7tR49qjI8bAauKX1aMWtc37vAyfrlsGxhiLLQSazHjqA2NTG2pVbfSBLHunPZ35nNy+02gjHz82HNyogng03L8nFnpo2fc2ymddEindKCELaWBoKHTlG/f4jarhTqvemEomcuezBSUswtYtPTSS90UFqqU1qqU1ysx9+qD4VQurpQu7snfu3thWj09V9ERSG2ejXRbdvwhe385jc2envjyxkuvzxK7uLgrPrzGgYcO6by3HMWcwZX1802YN3dAOS6hnhb5XGyk4fR8/KI3HQTTLPb2GzJIi4hhBBCvOkFAlBVpXHsmEp7+9QSgfE+rWM8Ebx5AWIlx7mJZrTHaxjbnWAg6OREbzZVvTl0+s0QVe2NENAN+pLT6EzJpD8pFRSV8LCFm/LM0Lp4sU5Z/gjWhlr6dzZz6DU/td0eWoeyMciZefCjXQP0jAycBWmUztfGQ2tq6uiOCYaB4vWi1LSitraitrWZYfVse9eeL8NAO3CAgaPt/Nr6AfqH48PrvHk669bF+MjLZ+7tCzAwoPCXv1iorx+ddfX7UU+dMksHFIPNhQ1cWtSAphrEli4leu21r3u7WgmwQgghhHhTGisROHYsfkvX6fgiBjhjkB8ky9XGqsHjLKuvYUlLCK0iieGwlRO9hRzryaPNF79HqpGaSq3dzTE1hag2Gqw0A7KCOJYYfPzdYWwNNbQ/18auQwGqezLxBjOBzJkHZLGgp6VBZgZ5i1MoX6Ayb55Obq6BokQhFjNnVavNwKq0tqIMD7/ua2Y4neBwmHWvdru5oiwQQBkaQvH74/qu1g1k8OjJBYwU9UJh4fjn583TuemmCKp65t69sRjs2aOxa5fFnBQ2DDN8NzeDYZDnGuK6ihPkuvxgtRK5+mr0ZcvOa2OF00mAFUIIIcSbSk+P2fpqconATOx2WLw4xqnibvKqD7Kq/SS5db0AxHSN/nA+Dx4vpcGbEbfi33C5MLKyzMVYNhvhphGigxHIDEFuCFuaj/m9jVxzYojnP6VR05tOMJoBZMw4FsNmw0hPx1mYTukqN+WVUFamk5RkgB5B6exE3duM2tSE2trKlP1qZ8lITjbrZjMzzVIEj2d8u9gz9s/SddSmJixPPsmhGjd/rltkXpNJobaiQufGGyPjncBm6t2bMmzj//7PRk/P6DUNhdBOnUIZHMSi6mwrqWV9QQuqYmBkZBC58UaMrKwp5wmFzI4R69ad24YVEmCFEEIIMecCAXPXp6NHNbq6zj5DV1yss3xRkMWcwFF9jG11Dfy2YZi+oEJPIIdufz6BYA6L0hwMaOb5DJvNXIiVk4ORlASYk4HFxTr/vg2+XNOFvb6ewuMDONsMQsFMwml5HNVmHo9hs2FkZJC5wEPFJalUVOjk5RmoSgylvx+1qhG1sdGclZxpu6uZKApGRgZ6Tg5GTo75a1YWJCef23nGqCqhwjKeblvNodpJ9aujLbqWLIlx3XVRtEmZdUrv3pBCdksKRbY0emzmdVE6O9EaGiAWoyR1gL+rqCLDGQAgtmwZ0auvjmszBmZmPnxY4+WXNYaHFQmwQgghhEgMYxsNHD6sUV2tnW0BPRkZBkuXRFma3kp6wyG0F6rMNlEGDI14SFcW8mpXJv6IBZsKi9IsOGwW9LEOAqmp47evCwt1Fi/WWVA2glJbR91LXfzLgRA7W10EYzloY8dPE14NhwM1O4PiFSlUrEuhvEInNRUI+MyweqgBtaGBiDdA74iTgWAS/cEchkIO/GE7gYiN4YiNkagFTTGwqjEsqo7NDlmFNhastlO8Oh0K8zmvBqwz6O9X+MP/DtB3JL7+VEl2cvkVUdati025u1/itvKHazL42gEftcctxKqT2ZzhMLs7hEJotbUoAwM4rWGuKq9hWVYHimJ2O4i+5S1TWmQZhlkW8sILFvr6zr+UQAKsEEIIId5QAwMKR4+a7a+83jOHGIfDLBFYVjJAYe8RLMePo/T1AdATSOZ4TxHHenLxBs1ZxLLRrlVGWhp6djbRjIzxXasyMw2WLo2yqCKI2tBAzQs9PPHfIVoHXBgkA8lUpk43CnOW0p6fRvklHirWuCibZ2C36ijtzaiH6ojWNNFVG6DNl0K7L4V2/wqGQmcOn4bVCimpZleClBSM5GSaFIX9deDqMrjyyiiLFulnPMdsVVerPPmoTnRvI5OvuOZy8Lb32liwcOafHmx+G1ubcygfUiHP/JzS3Y1aX48SjbI8u50ry2pIspr9YvXSUiJvfSunN61tb1d44QULzc2nLcI7208u05AAK4QQQoiLLhg0uwgcParS1jb9RgMTO2Xp5Bbp/Ov2KFc4TmKvPob6WhuDYZ2nmqG6L48efwGplrS4GdKAPYn9SiptyRk4kuxsTbVT5FFYvDjGosoQ3rpafvWrVu6vjhIKmr1MHZpt2rGAGVrdxSlUbkij4pIUjLQw393ThfriAcof6GZjIIRvMIlWXyo9wwsxOHMYN6xWGK1VNVJTx8sYpuP3KzzxhJXS0hCjd/jPSygEzz5r4ci+KNqxYyiRiU0J0pwjXP+FEoIFYf7xpal9XgMBeOklC4cPaxPNEIJBc9bV6yUzyc+1C6sp9QyYj1mtRLdtI7Z2bdxCrYEBhR07NE6cOK2eNhZDbW3F3tkCrDun9yUBVgghhBAXhWGYs26HDmlUVWlEzrCh02BY53cdPvozA5Q46ijqOUrzzxsJz7Nj0Sy82pXNT49m0OqbWPnv0CIsyUnGnp+D15PJg+2YrbQMHdw+/Dm9/Gb5MP49PTx2T4DnG6wEY3bADuj4IhGWplvjQrDhcJBZkULFxjTmr08hJ8eAzi6O7zjOj//QwUi7wVDQQ1Msl12aMuX4OKpqBlWPx/w4x9rVaBS6uxVKSs6vlVZrq8Ljj1vxdoXN8Dq6ExbA4sxOrvlgBm3z0qb0ed3XFeYb+Tmc2m+P25VLbW9HbWzESoQtpfWsz29GU82x6UVF5qyrxzP+/EAAdu60cPDgaeUhhmFucNDcxIq0JratrEMCrBBCCCHmlM/HaBcB7ax1jhYLLFgQ4/GeOlYFXmV5yylSgsMYhkLjSAbf6SvGrRZwtM+gJ2jeTjdQ6E320JmSRUt+BteXJrGjZQRvuh/yghSE2yis8eLeG+N7v0pigcdKtddGMBZ/Oz4YM2jyRZmf4yJ3gYv5l2Ywf0MqaSlRvEfaaHq0mj2HfDR3OTnSZ9ATzJr2+AWeSQuiXK7xwKp4UkhNU0hLM0hPN/B4oiQnG6Mf4HAY6DpEowrRKPh85i328ZX9mDOxcG4BNhqFnTs19uyxYPgD5ja5owvINEXn8tIa1m61E922ga+/7I3v89pvpXFXMl/XDK4vGV2kNTyMWluL4vMxP72ba8qrSbWHxr+A0a1biV1yyfisazgM+/Zp7N1rIRSKH5vi9aI2NFBubeaKJTXkJPsBOO1pZyUBVgghhBCv21jP1iNHNOrr1cmdmaZVVKSztCLAEo6TVH2YyK5amv0xhkMu6nwL6fIXEI6aW8EuS7cQ1iMMOtx0udPpcaWP9ms1yEyP8Hd/F+HA3nocu9rxHAoT9TsAKxGshEcrBMKnjSdkseHLtaGsSeU7Hy/DEhmhZWc7+75fQ+PJMEOBsVDqHj1++unjEUVDz8rCSEsjbV4q+aUW8vMN8vJ0srMn2lGdmRlQ09ONKfsWBIPnttCpo0PhySet9PQoKP39aNXV4zWmmUl+bph/nJzVeUTe/nZQ1Yk+ryMqVCdDp1m363cZ5i3+5mbU9nYyHH6uXnKK8rS+8dfSS0qIXnstRrq5oUEsZnYW2LlTGw3eE5RAALWhgbxIE1eU1VLm6T+n93U6CbBCCCGEOG99fQrHjpnB9fTQcjq322DF8ijLUxvJaDqE9nI1RKMMh610DZVwoC0PX+i0VVQOB3pJIU05bg4Pj9ZQpkQg348rqZ/Ng15O/E8Mz7EYkaBKlPiFUzZ14teIZsGXa6Wr0kV3mRvXUJBlA34e+/whulsmB9Spu0TZJpXt+uzJDLhdeHOdrFjj4e+vSyE/Xx+tVT3/bV5ffNEyZTvXzMzZLeKaPOuq66B2dKDW1Y0/vi6vmctLa9EWVxK54QbGemXlWDWoTYKGJIhNvHZOcBDttVbs0WEuLWmIKxfA4SCyfTv6ihVmqy8DqqpUduywMDBw2vdAOIza3Eyat5HLimtZmtUZ3+nAYiF6ySWzv0hjh53zEUIIIYT4mxYOw4kTZmidaUHWGFU1m+OvLO6l0rsfy+ETKH4/UV3leF8WR3tyqR/IJBCFSDQCGMQUjV6Xh0BGNn+3LAfdrnGFNUanv58hWx9lLV1k7A6S7LWQnm6jVVMpcSv4IhGCsYkpTIemUOKxUbjYyfI1qfyrz4KvwU9unY/SVwdJC0UoSLfSfYY+r2NvorIijXqLQlW2m5EcC7ijlKVq3H2NnRL3NCEzGjU/FMW8CIpihsZpdqEyDNi1S2PfvvhFTkuWxGZV/9rUpPDUU1b6+xVz1rSuDrW7GwCXLcRbK05Qkd5HbMUKItdcA5q5KOvYMZXSw1l4moN4R6+bPRJiubeFrTY/S3K6uKKsZqJcANDnzydy1VWQkoJhQGODyosvWujsPO19xWKobW0kdTVyaX4ta+e1YlHjr1NsyRKi27Zh9iA7N4rX6z3rlQmHw3zve9/jkUceobW1ldBpBQ2KotDX1zfD0efve9/7Ho8//ji1tbXYbDbWrl3LXXfdxeLFiy/4awkhhBDizLq6zAVZx49rU2obT5edbbB8cYil2glSql9DbW3FMKDD7+ZIdz5He3IJReNnOoeTU9irpNGR5CHJbuGKYhvrl8OC8hCh6hb2P9fLzkNhQlFzRrTEHd+ndawmNYSCs9jGO96aRcW6ArpODlG3d4CGE36au/2E9emPn0xzWCha4KB0jYfi9VlkF1ho9kf4+ms+OgMx8u0GXy6LUhwaQunvNz98PnM7WL8/bsHUxEk19KIi9MpKYhUV4PFgGObM65498eE1NdXg1lvDZ2wDOzICL7xgdgmA0dv0J0+iBMxNBJZnt3NV2SmcthjRK68ktmYNKAqtrQrPPWehvd384WMwrLOjLUhSVzvF/e1szPbxtvmnKE4ZHH8tIyWF6NVXo1dWAuYCsZdemqYl1ugCLXtrA5dk1rGpsBGHJX5WWi8qInrFFRh5eTO/ubOYVYD93Oc+x09/+lOuvPJKlixZgs02teXE5z//+fMexExuuukmbrrpJlavXo1hGHzjG99g37597N27l7S0tAv+ekIIIYSINzIy0f5qLPDMxG6HJYujrMhqpaDrEJbqkxAMMhSyc6wnl2M9uXQPx/cGNRwOjOxs9OxscDhQFCgp0Vm0MIq9p53aV7qpOxohEj77TGT+PCsVGz0kLyqks8pH3auDDDYPoZwtbQMKBrn5ULIsmeIN2RSsysRiHQ23hoHS24vS3m6uxG9vR+npYUrB6jkKL1zCU/YbeO1wfK6yWOCWW8IUFk5//rFb9s89Zxkv21C6u9Hq6iAWw2ULcV1FFZXpvWC1Enn729ErKvB6zbZYp7ezUrxe1Pp6kiNetpfUsjKnfWKiWFGIrVtHdMsWsNno7lbYscNCTc3U7wVlYABLYz2r3DVsKarHbY/fKtdITye6fbsZgqeZiT4XswqwixYt4sMf/jCf/exnX9eLvV5+v5/i4mIeeOAB3vKWt8zpWIQQQohE1OQzZxFP7/k5+fGv7ffR0Khi7XCwOubCbZkIPGO9Wn0RA7dVYWuenWUVsLTEy9LQa4wcPcyuk90MhBSGRvJwGCV0+TPie6RqGnpGBkZ2NsZo26WsLIOFC6J4oj207emk+rUgocDZ6z9zClXmrUvFNi+froYQ9fuHCHV6UcLhsx7rtEaYV24wb52Hkq0FOPPNsRAMmiG1tXU8sJ51yvkc+UI2Hq1eTmPeenN72FEOB7zjHWGKi6ePZ/39Ck8/baGxcTRARqOodXWEO7tp8kXJS2lhfWE1VxZqpORnE3n72wm4sti928L+/ae1swqF0BoasPR1c0l+M5uL4mdL9YIColddRaMrky+/OMypAzbULgdbc83FdWMUvx+1oYHF1lNcVlI3vo3sGCMpidillxJbuZK4fWpfh1nVwA4PD7Nu3bn157oY/H4/uq7jmdRjTAghhBCz0+SLTOn5ub8nzB+uyaDEbaWqM8JN/xego9oJI2bQOGkb4d0VSaTaVAbDOr+pDZi9Vu06aqafLEcdd0ZqyX6lBW8wxk+PWanuW0iXP5+Ybt6iX5oODg2M1FT0nByMzExQVZKSDJYsiZHnHqJnfxtHf+LHP3D2RVAZ2Qpla1KwlBXQ2RRlz6tD6E/WjIfWM83t5biHKV9soWxDBrkbilBTXDA8bK62P/YqamsrSnf3655dRVHAZjPPYxig6+PdANp9bn5XtRJ/2I6SGhhvkuV0GrzrXRHy8qa+djRq1snu2WMZD6HK4CDqqVOEAkEa/QMUZhzF4+ynZgheDi3in264ib6mFF55RYvr54quo7a1oba0sDCtgyvW1JLmmCh5MJxOopddhr5iBcfaY9z0rRG6a51gKECUdn/M/J7Qw6hNTVRGq9hWWke+2xc/aIuF6Lp1xDZsuKBb4sIsZ2Bvv/12ysrKuPPOOy/oi5+rD37wg9TV1fHiiy+iXaAEL4QQQvyt+MeX+nmo/rTaTB2udaTwDls6338+xPH+qQFycZqF60ucPN40wgk1QEZaO+uCr7G8qxpnJMQ8VzIFjjJ+XZVF3WD8tlFhzYojL4f1K4oxnE5UFcrKdMqLgoSqm6je7aO39eyzpW63QekKF1pZAT3dCm3HBjF6+s8602pRdcoyvFQsd1C6ORvXijLQNNSWFtTGRtSGBjOwngcjNRUjPd38yMgw/+xymRsWJCePb2E7rq+fw788wfPPW4nq5mN6Xh56eTkpKQY33xwhOzs+lhmG2Z7s2WctE9vuxmKoTU2o7e1oig7WagzLKVRVJ6pq/GnhFg5aV7GyP41rMuI3T1D6+sx2VpZuriqroSR1IO7x2LJlRLdvx28ks3u3ha/8PszxvvjvCUs0wtZIF3/vauTy4lNTzoGiEFu8+LwXaM3GjDOwjY2N47+//fbb+ad/+idUVeXqq6+etv60tLT0Yoxv3Be+8AX27NnDU089JeFVCCGEOA/jPT/B7PvZ5oBWBycsNlZUqAzNUGcatEXZsj5Au2Unl546QF5tD7qh0DecQ81QEYei2SxNt9E7EgF0dEWlN9lDlzuT/qQUit1W3lbmoLI8jKW3i8Zd3Tz/qxBnaxbrdOgULXRiKcunz2fn8IkhlFcbzzrT6rSGqczyUrE6iZJL87FUrkDp7zcD66MHiTZ14BvRCESsjERtDEfyAUi2hkmyhnHZQris4Ym2UZizkkZ+Pnp+vvlrXh7nssdrIAB/ei6L+r2ZKPqkmUpdp7RU54YbIpy+s2x/v8Kzz1qoq5t0u35wELWmBiUYpDS1n2vLT/KX9l6a/Tqd7kx+V/JWBloLwGul36VAxuhxgQBqXR0pI11sL61jWVZHXBmqnpdH9KqrGMkoYO9ejf37LYTDMBSauAaqHqPQ28nCkRq25VfzwaX+KaWsemkp0e3bMXJzZ31tzseMAXbVqlUok0ZlGAbf/OY3+da3vjXt8/v7X19D2jO58847efTRR3n88ccvelAWQggh/lrl2jXotkGrw/x1NAK60sxf3dZJaUQ1ICdIoauRj7iquOK1VgJ1Q+ztcVLrW0SXr4BIzFx8lOUwj4u5XFRr5kYDMc0CNh1ygyzP7SOzw8+rTwSIBc9cImCzxMgvt2MpzccbSebkKR9KVTtKKMSZlpClOQLMz/FSsdZF/uZiyFuG0tjE4JF6On99gJ5+K13DLnoCRQyFKs96rVSXk/mLDK65Duzz8s1m/ee58Kix0dzSNXCsCdUXf5v9kk2w7V2RuMnacBh27zZ3shqvWY3FzADe0UGyNcRVC06xJLMLRQGXTeWF3HW8HN2KcWwiBbusilkj29yMo7uFTQWNrF/chFWb+MHBSEoium0bwUUr2H/Awt7fWRjdtAsY/Z4wdPKGeljor2VhyjGy0jqoTLegKBMB3sjJMRdolZWd1zU6VzMG2P/3//7fGzKAs/nc5z7Ho48+yhNPPMH8+fPnejhCCCFEwuntVTh8WKPotWw8x0bMGtZRHpu5EAtga56dLi1M0N3Dav01VnefoKzPzw2lKewdKKChexXH2h1xvVYtNiv5FXnECvMosiWxsz5AzB3E4fRS0tFFwf4IC+xw8gy9VlXFICtfwVGag9+WRn3tMMpL3SjB4BlDa3ayj4W5XirWuci8pJSwrYLO17rY+0AT7Q21tPlSGIlkAplnvUaGy2WWAKSmYrjdYLVyDKAzxvXrzm9zgnDYbJF14IBm1ti2to4/ZteiXH3ZMAs/vHZ8KnmsN+uLL1riNoVQ+vtRa2tRwyHW5LVyWUnd+GKrIWc2vatu4MjOVIzgxNclzQpX0If1QAurMprYuroel21SuYWqElu1iuDGLRw86WL3TzSGh6d+jS63DFHUc4wSxxFy89tQFIO0Sd8zRkoK0a1b0Zcufd2dBc7FrGpg58pnP/tZfvvb33L//fezcOHC8c8nJyfjcrnmcGRCCCHEm1ssBjU1KgcOaHG9Ose6CPgjBq7RLgKZySqLF0VZnVaPo2Y3e/dU4Q/pjIQzcFBGy2DueM1mMGbQ5I/R60hhJCuHVfNzSHVYyM42KC8N01ffyp/+3E24I4j9LL1W0zwxnGXZjLiz6GsOovT0mH1UzyDPNcTCvAEq17mwLiyjucNO2xEvbSeH6e6zxnc7OAPD4cDweMY/Ztrz1eMx+OhHz16je7qmJoU//cmK16ug1tebnQxGFbgHuWF1A8l3vMeslQXa2sxygbhWZeGweWxvL8UpA1xTXk1Osh+AUFTjleSr2RNZS0TXJr6uYZ3c4CCbR9pZ6TJ338pMiu8KoJeWEtp+JUc6c9i508LQ0NRrpvT34+6o5dK0o5Snt7CrayTueyYlNZnYpk3EVq+e8dpdTLMKsNdffz3f/e53p50Bra2t5VOf+hSPP/74BR/cTN0GPve5z835gjIhhBDizai/35xtPXZMPevWrtnZBqvm9bM8dpCkk4dRfD5afDZ+fTKT6r58ItHkuABq2O10pWTyx2Aqg4oVpxM+tl1jbZKf7oOdNB0fgXDkjK+pWMIcd7hodaRjD2isZZDkgP+MxxSleFmQ00/ZajeDmfNoaLXTdHSY7saz19GOMSwW8HjQPR6UdA+uTDvJyQZOp7n6HyAQUOjpUeKuW1KSwSc+MfsAGwqZvVYPHNDAMMxdsTo7CcYMmv1RitPqWF3YyKqPv5f8RfMYGjKff+zYpPU9hoHa2Yna1IRLHebKsolygaiucmB4ES/ZriRgj1+TpAwPozY0UBBt4oqyGkpSvfHXIDWV8PYrOBpZyCs7rROLwiafY3AQZ1sdm9xHuSS/GZsWi3+C1Wp2Fli//oJ3FjgXs4rMr7zyCr7TajbG+P1+du7ceUEHNcbr9V6U8wohhBB/TaJROHVK5dAhjaamM2824HDAosoQK+xVFHXsR9vTSlRXOdGXxe62cp5scDMynll0BqMxFlfm4MzPpdni4jf1I+jpEey2fnI6O3n2njDeJCOuL+jpLFoMd24y/SmZPFwdw9Y+QFqgGQWDKk1habp1yixtodvLwuxeMhem0+kopratghf/EiQ64AOmzySnM5KTsWR7yFvkJndhKlk5ZmhPTzewWKYPpfv3azzzzEQ8Codnf1v81CmVv/zFgs+nQDiMdvIkytAQwZhBvc9LccYRtJRhPld5HZbDSXyxGZqO2olMyvyK349aV4fFP8iGgiY2FTZit8TQDYWjPXm8wHYGMsrjOxyEQqhNTWT4mtheXMOizO74u/l2O5ENGznm3sArL9vp65smuPr9OFrrucRxmA2VTTitp5VNqCqxlSuJbtoEbveU499os57zVWaoa2hoaJDb+UIIIcQc8Hrh8GGNw4enr1+crKhIZ3VJD4v8+3FUHYFQiJ5AMoe7KjncncdIxEa1N8JIzJzR9NmT6UjJosudQZvLzj+UOXi2rYc8VwfZp4ZxDwRRRjuYnooorMuaukunK82CkZuNP5ZE38Ag1XubyQ3Ez9CObf+6wGOl0O2lIqMPe1EGHWohe9oq8b0wjBLwA2eepQVAVUkvcpC3KIX8VZnkz08iM9MYzXpnn6ltajK3WJ0sLe3slZZDQ/Dss1aqq81Qqfh8qFVV490SbLY6luSfIGS38n/r3k6PrwD+lMx/J+lcXzJ6ktHFVmp7OwsyurlyTQ1pjhEMA2r6M3luYA1ducvNFl1jYjHUtjZc3fVsLahlVUVbXOcEFIXo8hUcy9nOzoMp9PRME1wDAawtjay1HmLTvMb4Otmxl1m8mNjWrRhvol1QZwyw999/Pw888ABghtdPfOITU4JqMBikqqqKbdu2XdxRCiGEEAIwZ1tPnlQ5cuTss612OyyuDLLOeYy8lv0or3QSimq81pvLoc582v3xPTqDqHS4M2hPzcJvTwYNyAjhdveT2jTMwhcGUKJTSwRiuhmaDAOsdgVLbjojtlSG/AGU2h6USAQFiEZjU4512wcpSetn84o8OpRCdnTNJ7ZvCCVohtYzxXIFg5zMCCXLkilYm03e6mySUiZHm9kv82lsVPj9721xFQlWK1x77cwlEbGYOWP7yitmyynA3CCgsREMgzRHgLdWVrGzp40jsSR+VfoO+o8Wgs8co99qjk/p6kJtbCTbOsDVS09R5jE7OzUNpvFC6wKaPcvQ5+VPLJIyDNSuLuxtDWzIrGHDyibslvhrGysuoarsWnZU5dJ9eJrgGgyitTSyWj3MpaX1pNin7jSml5cT3bYNIydntpfxDTNjgFVVdbzfqmEYcX8ek56ezq233sonP/nJizpIIYQQ4m+d1wuHDpmzrYHAmWdbCwp0VhV1s8T/Ks5TxyAcpt3n5mDXIo735BCOxf/3b6SkoOfk0DCczKkhA9wRrEk+ins7ST84QhER2jxWHEaU02OOYYCiKdhyUgkmpRGORIl096IE+6aEz7EqA6fVT6rDy5AziTbyCOkV2KtCKKGzh1a3LUhZWYyy1SkUbS7AWZodv/o9HEbxes3FYH4/yvAwysgIhqqaid5ux7DZzI0HcnJAUTh8WOWpp6xTymmvvz5CYeH0IbipSeGZZ6wTs5rhMFpNDcrAAKpisLGwkUuLGrBqOo/oi/ifwWuJVMVPBGZGA2iHa0gO9nFZSR0rc9pRFYMOv5sXm8qp1RYSqygzxz1K6evD2tzAmpRTXLqsgWRbfMDWMzKpmnctO5rm0fXSND/ghEJoLc2s4BBbiurjduAaP0dREdGtWzGKi8/wlZhbs1rE9da3vpXvfe970sZKCCGEeAPpOtTVqRw+rFFbq55xd1OHA5bOH2GVs4q8lv2o7e2MRCwc783lUFc+nf6UuOcbVitGTo754XTidBq4c0L8/JUGLDVeUvqDqIY+uhWsWaM6GNY51h/BAHRdJei00uPKYHu+k7zQEMrQ0Izjc9tGSHEM8UK/Qm00h3DYgTsUIJXItDWwY6xqjGKPl7KFVkrXZ+BZU4qS5jEfDAZR29tROjpQu7tRurpQvN5ZbwMby8rh+ayb2XliaputrVujbN48dcbY54MXXrBw/PjEpJ7S329uLhCJkO8a5LrKKnKS/fhCNl5KegvPjyzjwdrgePsySyzCsqF2rrL0cVlR83ida28giRebyqkaLkEvL4+7Za8MDaE1NbLUVs22kqnBU09Kpqrkanb0LaWre5oNn8JhtLYWlkUPsaWwjgxnYMpT9Lw8Ylu3mr1c38CWWOfjTd1GSwghhPhb5PXCkSMaR45o5oKgMygo0FmR1cqywKs4609iRKI0DqZzqCuf6r7s8fZXY4y0NPTsbIzMTFAUCgt1UtUhhqvaaT3uIzgSpskXJaybM6aTuxBEdZUhHXbrLnzYSY8Os946TKp1+jE6LGEynAE0q0avmo0/YiPkD9DcF5j2/GNS7SNUZvZTvsJJwYY8tEUV4HSi9PWhtLaat+nb21F6e8/7Gg+F7Pzx1BIaYsXEVq6Me2z79ijr18fiMlw0Cvv2aezaNVEuQDRqdhno6cFuibC9pI7VuW2EYxp7eirZ5dxO2JMNjLYvawvi7O6guL+dvyvq5LoKM4gOBJ283FzG0d4CYoVF6IWF44u0lJER1MZGKo2TbC+pG2+jNcawWDmRv50dw2vp6ptah0w0itbeypLwIbbmn5rSUgvAyMoiumUL+vz5b/rgOmbGAPvggw+e04luueWWCzIgIYQQ4m+RYUBDg9m3ta7u7LOtyxcEWGU9Sm79XpT+fgIRK4e78jjYVUj/SPyepIbNhpGbi56TA3Y7LpdBUX4EWttpfq2fUO/UUDN5XGFdw5KRQsSZgs0IofT2okSnb+5vUaN4HEE01cCrZRLUbRAKjS9omkmBe5DK7AEqVieTvrYEY16ZeTu+qQm1rQ2lrQ1lZOrt7vNR05/JH2sWMxIxA1/00kvNsVvMsoGFC+NrCWpqVJ57zsLAwNTNBZRwmOXZ7VxRWoPDEuVAZyE7hlbiL10S12ZKGRhAra+nxNrOFWU1FLiHGArZeaWljENdBcTSMojNmzdxTDiM2txMafAk24trKEoZjBuTgcKJjM3siGyia+i0PWgBYjG0jjYWhw6xJbea7OSp/XWNtDQzuC5aFN/VIAHMGGDTTltpNtaFwJj0N2pyZ4KLuZWsEEII8ddqaAiOHjVnW6fryzlZTrbOmoI2lg/vwVFfPT7b+lpnAaf6sogZKj0jMWqGohgGDCanUrGggHlluSiqQmFBjM6eLp59qQV7RxA7MeanWqZtgTUSsWBJshJNTcdmNVAHvSiBwHjXgPgZVHBZQ1g0HZ+SQlS1m7WokZkXQFlUnVJPHwtyvMxbl0rSinL0zEzU1lZzy9TGximBtcUf5YnmIMGogcOi8NZiB0WuiXrewbDOS51h2m1urKkpvHVxBpmZqRhJSaDrhIejPLcvjcO748N0dNMmklwKG64d4aedg3QEYuQlafxzSQo1rzqpqzttc4GGBtSeHrKTfVxbfpIi9yB72rP5xYkyqlzlDOcVsjXfQapNRQkEUBsbSQ+0cmVZDfPTexiO2NjVWsprnYVEbEnx5QLRKGpbG/mDJ9ledIp5nj4UZWIDiqGwQb17NZaCawjFpukKoOtone0sDh1kS/bJ6YNrSgrRzZvRly0DbZpygwQwY4Btbm4e/317ezu33XYb11xzDTfddBPZ2dl0d3fzyCOP8Mwzz/Czn/2MSy655A0btBBCCJHIDANaWhQOHLBw6pR6xl78NhssKh9hte0YRS17UPv78IdtHO7O41BnAQPBidm3npEYh4c1OlMy6XRnELI6wBHjn1bqrAz0c/TVfo63+uLW5ivA0nQrqTaVcExDVzV0TxqaXcMWDpg1paOCMYNj/RGCMQPDAE2N4rLqLMhMwWazQyx2xtBq16JUpPeyMHeA0nVpWBaUgcVihtaGhjOWBLT4ozxYOxLXDEtRFN6xrpCyRSW0p2TxgRNW9qkeopoVgDK3xh+uyaDEbaWhQeVPf7LgO9WFVlsbd+6Cd65l5dUx3ruzlwZfDEIK1Cbj6Uni3fOSxgO+0tmJ1tiIgxG2FZvlAg3edJ6sK+fJnnReSy9l2GG2ucrUorzH1kvuUAtbCutZldNGMGphd1spBzoKiSg29OJi9PzR7gK6jtrRQVZ/NZflnWRhxkQv18GwzoM1AXbFFvCccgX9sSw8NoV3V0yMDV1H6+o0g2vWiemDq8tFbONGs2RiDnbPupBmVQP7nve8h8rKSv7jP/5jymN33XUXtbW14y23hBBCCDG9UAiqqlRee81CV9eZZ1tzc3RW5newPLiPpJpjGJEoTYNpvNZZwMm+HHRj0vGKgp6Zyb0DLnrtbrP9lSdEVrCfvNYB0r0jbM62sq8nTCgW/9++YSgo2Fk9z4OR7MKphlD7+sweUac5ORChJ2hgUaNEDAthixXVMCiwxljgsU77PhyWCAsyeliU20fRmgzU4nyUWMwsDWhuNotLZ+HHJ/x06VZaPbm0jH60p2aTk5bEkZtz+ceX+nmofmqJwU0FSfx9NIvDhzVzIdTRo+OLvFTFYOuiTtZ883o+8soAD9WMQLMT6pIgagbDxWkW3pYNam0t6qCX1XmtbCuup3/EyQtNlTQNpfOKNZuXrNmgqCi6Tv5QN+XeZi4vqONTq7uI6ip724rZ11FEOGZBz8lBLykxfzoxDJTubjJ7qtmafYIlWV2oysTXyDDgvxsK+OHQVjqNvLga1cVpFq4vsqN1d7E49BpbMmcIrk4nsfXria1ZY77mX4FZxe8dO3Zw++23T/vY9u3b+fnPf35BByWEEEL8NenoUDh0SOPECY0zlYJaLLCgNMA6x1GKO/ahHuzFF7LxSncRh7ry8Qadcc837PaJ2labjd5qLw7rICW9XaS9NoI9etqt8kn9WsMxOxHNgteRgt0exWmMoPQOTBmT+VwNuyVKKAZRVSWq2LDqMRyj5w9r8SUISdYwCzO6WZTTR9GqNMjKgGgy1DfhPdTIQDCJ/hEnA8FyhiM2kqxhXNYwybYwbluIQrcXpzWK4XSil5ZilJTwI4+FenvalEVGgyFzTrYjcFrgNoAOOwf3uags0lC8XrSTJ8fDa4ZzmOsXVZN9+9+hqwq1JzXYnQ4jE7fUVT2Gu7UNrbWPYnc/V6+sRlHg8ZrF1PRnYbhc6CsqqO9UwRcly9fHvP4W5jlrKS2sIc8Nu1sX8mp7MaGYxWxXNm8exmhffaW3l7SuU1yacZwVi9vjNiEwDDgVLOYl7Qp+EsugE4O4/mKGjr27i2WcYEvmcbJzpwZX7HZz29d16+Z029eLYVYB1mazcfDgQS677LIpj7322mtYrdP/1CWEEEL8rYpG4fhxc7a1s/PMs62ZGTqri7pYPrwbV/1xjGiMpsE09ncs41R/9tTZ1owMjNxcDI8HTYPi/CjW/nbWtDST7A2M75A16ZBRFoJRC16Hm2iyhssYpmCkE0cUlKT4mbmRiAVN1TEMsFgMDM2CwxLFGo2Z4XDSkGwqOK1hFmb0sDirm6KlLqIpHjp7Szmwb5CunkG6ht30BpYSM86wWEhRMNxubNkpvOuDGnkrMscXF0VrO8E/dVY41W4+npc0qZZzWIUTbuiz4UzTULpGywYMAwWD9QXNbCuug5vfTqNRzPP3WQgddMPIxGxw+vAAlT3NLEoe5ObVjWQ6/exoKedETw6GqqGXlYzf/s8Od5PZWk+FtYayvFNYLWHavKU09VRQ5nZiOBzolaVm5wdA8XpJ6TzFpSlHWLWoHYs6URhhGHDSV8gO9TI6nGWgabhsIzA8OjZDJ3eoj1Wxg9xYUMU7SqaZwbZaia5dS+ySSyBpmgVefwVmFWBvvPFGvvnNb6JpGjfccMN4Dewf/vAHvvWtb/EP//APF3ucQgghRELo61M4fFjj6FH1jBsOKApUloa4xH2CeV17UQ91EohY2dNdwMHOAvpGkuOef/psq8djkGH3Eaxto233EEo4zBojRjWnlwhArtPFEA5yC5M5OOAjM9CPZXTGUgHmp5oTUeGYRiSmoigGmqJjs8J4gW7MXLDli5g1sAAWNUKZp4vblg6waLGDXjWbho5Kdv8lSvNAymgLr/jdvk5n2O0Y6ekYHg9GaipYLIwAj+w0uHVBeDx//fjSVG54up/opLdnUczPA3xptZt9HWEaj9qhPgl0hTQrXBnuQGtpB8xZ17dWnqAoZZDOZdt54fjS8e1ft+bZaR+OEfSPUNHbTE6wh6XZdfzTsiGO98zjkZPL0Q0FIy2NWHk5OBzjLa4+FDlJX8FRIvhpGyylxVuGhp0lWQ4z6OblgaqiDA3h6qjlUtdBVle2YdUmgqtuKFT15/IS2+hOKTe3ARu1Nc9Ohz+Kra+H1ZFDLHYdpcjt421lScCkHwgsFmKrVxNdvx5O2z31r82samBHRkb4xCc+wSOPPDKlC8Hf//3fc/fdd+P4K5uaFkIIIWZL16G2VmX//rNv7+pyGawo7GF19FUymo9ghMI0D3k4OFrbGte3VVEw0tPRc3Iw0tKwWBVyMiNoXR30nugj3Df1tvFYF4JQ1EYUGwW5HioywRr0o4yMMBjWOTUYJaYbaKpCuduKihOLGgPdINkRRdF1M2FP0xNUJ0KIDjKT23BlqVRklTIw6KGxSSUQmt0dWSMlxdwJKy3N7BAwg8sui7Jx48Ss686OET76yiCDIZ1Uu8qPL01lc55ZVlFTo/LQkwpPnIzgjxik6SEu9zWSNDKMpuhcWtTAxsImAhErL6S+jUOhxRiTZ7ZjMUbqm+ioaabA3ciSrGaSlHKqe4uIGSqGzYZeVoaRlTXe4qp4pJrLimrJdw/xUnM+v60uxBe2YdUUCioKcM4rBasVxe8nuaOOTc7XWJvXik2beE8xXeFYbx6v6Jvo8VRMvdVvGChdXZQMH0CLHsSiDeGyKmzNs08s4NI0YqtWEd2wAdzuWX0NEt05bWRQW1vL/v376erqIicnh7Vr11JRUXExxyeEEEK8aY2MmC2wDhw4cwssRYF5JRFWu6pZ0LMTS1cHwaiFo925HOgspDcQP1tmOBwYeXnoWVlgs5GWZpBuHWL4ZDs9pwZn7MEa0xUGQw5IcmJxO3BrI9PuTBUjRk8sRtQyQpQQNucQhiWMTjSuH6hiqNiiTtxRN0uTIyzJ6MOerNIUzqe+J5XeXnV2u15pGnpaGkZ6OsnFHtKzLaSlGaSlGbhcBsGgwosvWqas59q+PcqGDVPLBiYbGFB49lkLtbWTxt3djVZXB7EYpan9vKXiJC5riN2d5exyXTm+ucDk56uNjSxyt7ChoInqvmz2dxQR0TWzZCM/H310W1W1tZXcwWq2F56iOGWA1zoL2N1WSmC0p6yRkWHW7TqdKIEAzo4GNtn2sy6vGbtl4r1EdZVDXfnsilzCQGbF1CCv62g9XSwKHmJL5vEpGxiMXdfYihVmcE0980z3XxvZiUsIIYQ4B4YBbW0KBw9qnDypnXERvcMBK4p6WKfsJ7P5MMZIkDZfCjvb8nmqIZNAVIvbjcpIT0fPy8NIS0NVISczgrWnnd7jfYT7p99swDDAF7YTNqwYLhceVwRLwEc0OsSIdYiAdYgR2xBBi48hJYhfDRKxjGBTQli00RNMCq1Rw8Ab0okZoztipY3gsMBgNIXgYA5pAyUUehejGWeebTVsNlKKUihYlkr20gxy8iAryyA5eepzT5xQeeIJa1zjg/R0gw98IDzj2qNQCHbtsrBvnzZxXDiMVleH0teH0xrmytIaFmV0caCzkF09C/CXL8NImdhSVxkaQm1ooMBoZUtxPe2+1PEFV2DOFOvl5RhOJ2pnJxl9p9iWW0VlWu/U4OpymTO0qakoIyM4OhrZaNnHJfnNOCwT3ySRmMprnQXsGlnNUG7l+IKuyV9QrbuTpaEDXJpZRVbSNIuz/oaD65gZA2xLSwu5ublYrVZaWlrOeqKioqILPjghhBDizSIcNmdbDx7U6Ok586KswoIoq1NqWTKwE3tnC5GYyvHeXPZ3FNI46B7vpQoQ0mz4MrLZuqqYFLcTt9sgzeIjeKqV/rqhGdtMhWMqgyEHsWQruqcfbO0EYu0MW70EbF4iWgiAmKEQjJqBzEIUmxYzF3mpKvHL2kfDa3gEizaMqsQI6MnEosnkOBQsk8oJ7NEkSvtXk+0vQ5l0DqvLSvGSJEovyaR0XTpp6WfemdQw4OWXNXbujF+S43DAhz4UwuOZeoyuw5EjKjt2WBgenrQzVk+Pua1rNMLavBa2FDdwsi+bHc3z8LnziVVUTNSVBoOoTU1k+pvYXFjPYNDJ3o5iQlHz8fFygcxMlJ4e0rpOsTX7BAszujnQWcCetpLxXbwMh8Occc3MhGAQZ0cj67X9rM9rxGmd+NqFohoHOgvZ7V+OP6/CrPc97WJoPV0sC+1nS+YJMpzT/MCiacSWLye6cePfbHAdM2OATU9P55lnnmHNmjWkpaXF7bo1HdmJSwghxF+jvj5ztvXIEY1QaObnWSywuNTHJdaDFLS8iuL30zeSxMHOAg515RMcDUfV3gjdQYOBpBTaU7LpS/aACmtLdT6U5qP3WC/h/mlm3YAIYdoJMJQ8wEjqMLg6CMa6wIjfCcEARiJWdBQUQ8ephVAVRutap9bo2rQoHscIncNhuoN2QlFnXCeDJItCpmPqjk0poUwuUzexeFkBJZtzyVuahmY5c14YEwzCn/5kHV9ENdmNN07dzhWgsVHh+eet8T10QyG0+nqUvj6KUrxcXXYSbyiJF5vK6Qu50cvKzEVUALEYamsr7p56NuY1ENUV9rZPhFEUBb2wEL2wEGVwkJSOGi5NO8rizC4OdhWwt714IrharRjFxei5uRAO4+hoYr26j/V5jSRZJzZzCEYt7GsvYo9vCYH8STtujTEMrL2drIruY2NaFWmOabbLtViIrVxpLs6aNIP8t2zGLgQ/+tGPKCsrG//92QKsEEII8ddC181FQfv3azQ3n3lRVmqKzursFlaHduOuqyYWg5P9WbzWOZ8Gb3rccw2rlda0DA5ZMwnaHGCL4WaAor5ucl4eod0z8VoGOsM2L0OOHvos/fRYBgkmD2OzGVgJo0SicNrkbDimEYqZQdOpBLGM9RWdsl2oQpJuI8dqkIxGeCQZ30AGutfAEQMHoBgKuholavehJvtgNFhZtBjpHp30AgcpJTHUnGY2Lb/SnIcdHETt60Pp60Pp70fp74dIxJzt1TRQVYykJGpzN/HkvnyGhuKzhabBNddMDa/d3QovvGChvn7S18IwUDs6UJuacGvDXFZZh9MS4YnaJXQNuzHcbvRFlWZtqWGgdnbiaG9gTXo9lqwYO1tLJ4Iro7WrZWUQDOI6dYhN7iMsLe/gUHchP35t0/gPIGiaWRNbWAjRKI7mWtYrr7K+ID64jkQsvNpezKtDiwjkz8Mozoj/EhgGtr5O1sb2sNFThds+TYPgseD6N7Q4a7akBlYIIYQYFQzC4cPmoqzBwZknblQVKooCrLEdpbJzJ6pviKGQndc6CznYmc9wxB73fMPjQc/NxcjI4PGWICfCwxT4u8ht9+IKBAHIcMbIzR1k0NHFkKObIXsv/piCrqgoditOSxQ1HJq6IMtQCERsGIDViOCwRFAwUBUbzmgqzkgKzoh79NdkimwGaYqF4LBKVyiN0UavgDk73BOcOvNZlhrkujVBvCvbaMjrIOa0owSDMDSE4vfzaX0jrh4vZ5yixgzYzzVWcKCrhNjSpXH1qMnJBjfeGKGoaOL9DQ3Bjh0Wjh3T4t624vej1tZiCwyysbCJPNcgO1vKaPV5QFXRSyZ6tCp9fdia61mVUoNdi3Kwq3C8bhUmalfRNJxtdWxKOsSSzA4OdRWwv6NovB4WRUHPy0MvKgLDwNHZzHr2Tplx9Ydt7G0r5sDQfEbyzTKEuDoKXcfe38kl+h42eKpItk2z9a6mTQRXmXGd1owB9vLLL2fz5s1s2rSJjRs34pmuEEUIIYT4K9DZaZYJnG2nrCSnwar8dtbqr5LWchwjEqXem8FrnQXU9GfFbzigaejZ2Rj5+RhOJ3a7QabDj/dUEy/t7Sek+wgm9RB0daG7evGkD6GpBlFdZSRqAasFu42J2dZJDMxb0+GYhoJBZtRKasRDcjiNJD2T5LAHR9SFMtoj1G0L4rIFCY/o9AXdZmi1WqcUqAZjxnh9rts+iCUzgLE0la//4zKK8tNRm5rw1hzhwfrfMxT0jh/3gdhyiowzB63a/gz+XLeQwZBz/PrEVq7EcDrJzjZ4xzvC4zWvIyPw6qsa+/ZZiEzOd9EoanMzakcHSzI7WJDezcGuwvGZbsPtRq80Z10Vnw+tsYGltmpcthBHu/PifrAwbDZzO9fkZBydjWy0vcbizE4OdRVwoKPQ7EAwSs/KMp+rqji7mtmg7OWSnIa4GtfBkJ3draUcHCwnXFhqtts6Lbg6+9tZr+9mfVp13LGTv2diK1aYNa4SXM9oxgC7fft2jh49SiwWQ1VVFi5cyObNm8dDbVZW1hs9ViGEEOKCiUSgqkrl4EGN9vYzlwkU5YVZk1TFkr6XsXp7CUYtHO7KY39HEQPB+PZHRnLyRAssTSPNEyVpsIueU010+evxOjvptXfRYfQTM0BTINWmEonZiCkaqlXDaY2gRsKcticBUV0j5s/COZJJVjCJXD2J5FAaFqtrShhV1RipthBEowwGbOio5tSxZeY9jArdXgryfezJcXK8sJg8m85nU/vI62pBbW8f39Tg19ox6hXv+HE3xhawxJg+F/hCNp6uX8DJvpwpjxl5uax7bxlbtkSxWMyFcgcOaOzZYyEYjH+u0tWF2thIibObxVmd1PRnUTdg7myFxWLOuubmmpsLNDWxwKjCZQtxsi8nbsYVVUUvKMDIyMDe1cwGywEWZ3ZwuKuA1zrjg6uRno5eUoJhs5HU3cwG9nBJTkNcV4HeQBJ72ko4MlRGpLAEIzs7/msRi5E00M4mdrHOcyquldY4mXE9Z2csIRgeHmbv3r3s3LmTXbt2cfDgQUKhEIqiUFFRwaZNm8Y/CgsL38hxCyGEEOdlaAgOHtQ4dEg7405ZFgssLRnkEnUf+c37IBSiJ5DM/o5CjnbnEY5NCoKqip6VZW7v6nZjs4HH2U9v234aOk7itbYxbBuY8hoTs61W7DYDqxFCiU4EHGvMjmskG32oCG0on9RgKnmqD4s2OoN6Whg1DIMkawTViDEybKArZh9TbLbTX3pcUYqXhYVDzN+cRvKiApRgEK2+HrWxkSkpEvAR4keW/cQmpet/iC2jxEgFhwM9MxMjI4NYWgYHuop48VA64SAonZ2oPT3jx6Q5AvzdLU7y//6S8c4CL79swe+P/5oofj9qXR1ZsQ6WZ7fTPJhG7cBEWNYzM9HnzTO/DM3NlAdPkGoPcKo/Oz64AnpuLnp2No6+dtZrB1iYbgbXQ10FcRtIGKmpZnB1OnH1NrGR3azNaowLn+0+N7taSznpLyJWVIyRkxMfXKNRXAMtbGQPa9Nqpw+uFstEVwEJrufknGpgQ6EQ+/btY/fu3ezatYt9+/YRCARQFIW+vr6LOU4hhBDivBkGNDaqvPaaRk2Nesbe+26XzprMRtaEduHuqCWmK5zsy+ZARyHNQ/EryMc3HMjJQbeAntxEMHiQ9u7j9IXaMU6fQsWcVPWFLXjDKhFNI8kaIUuLYlHAGUkhNZhNykg2Fl8h/qEcMBQylH7c1hCoCjgcBGMGTb4oYR2sCpSnKqTYYgT9sYndpRyOGXtYFbq9LMofYP6GFFzzR2ct6+pQW1vPujHB7/U6Hh1pJqQrRN0prC0p5jOrPgx5+WZrJ0WhsVHhueesdHebr6/09qJVV5u7SmGwLr+Fbct7MT78fqoak3n5ZQv9/aeNNRxGbWzEPdDCkqxOBoJOavonNiAw7HazR2tKCmprK4W+k3isfhoG0+MWZwEYaWno+fnYB3u4RNnHgvRODnaaP4jEjIngGnAk84ojj17NQWWwlY9l7mNr/sTOWYYBzUNp7GotoXY4H6OoyOxCMPk6RyJ4vE1sVnez0tMQt13sOKvV3DnrkktkcdZ5OudFXNFolAMHDrBz50527NjBjh07MAyDgYGpP1kKIYQQcykSgePHVfbvt5y1d+u8/ABrrIdZ2LMTLeAfX5T1WmdB/EyeoqBnZKDn5hDwRPFqdRjJpxjwHsXX68OIThNYgKiuMBK1EVE1+qNRND2MczgVhz+LlGAOa+x5JOnJdAdcjESsOJURsi0DaKoOdvt4J4GxOtXhiIJFi2KNRknWY1R6LNicjhlLBDKT/CzN7mbRGhup5ekQjZrtp3p7Z309X0vWuWP4JE02N16HG0PVyE/dzp+vv4wStxWvF154wcrJk6Oh0DBQm5rMYAzkuYb4u4oqctNCVG39MC8ezR4PueN0HbWtDWdnIws97fjD9olSATBnu0eDo9rZSZ63ilRtmKYhz3gf1zGG220G15FB1rOX8lSzZvZ4T25cvbKRnMxgXiG/69bwDDSzSd1FUXIDmQ6Dd1ckkWJVqenPZGdrGa2hLDO45uTEbQBBOEy6t4Et6k6Wp7egqdPEq7Hgun49nL6BgTgnZw2wIyMjvPrqq+zatYtdu3Zx4MABwuEwixYtYsOGDeOLvHJzc9+oMQshhBBnNDgIhw6dvUzAYTdYkdfBWv1VslqPYMR0mgbTONBZSHVfdnzIsVoJ53kYyA/htbXgt9ejGO3E+n0EB6fWq8LEYquIYUG1WsgmleE2N6H+TBzD2ai6GbhCUTtWUihMVslS+nDbQmY4Om0bqqiuUjMYoS8QxRkJoio6MVUjaLGT5VRZ4IkPcB7HCEsyO1m4FLLmuVD0GGpTE4rPN6vraCQnm7WlpaUMFWbzd8/9kiN9gxNPUJLB9h5uKk7lg7Ys9u6dtB1sOIx26hSK14tdi7KtpI61ea00D3p4PvXtNCslU15P6enB1tJApbOFiK7FB1fMVlex0lJUr5fs/ipSjCFahzyE9dNKKZxO9IICHFE/63mV4uQeDnQWUd2XPfV5xcUYKSkcOVFNjv9lipIbUVXzhxDDUHCrRVhiC+iJpmMUFpozrpODazBInr+WS5WdLErvRFWm+UZwOIiuXk1s3To4fctYcV5mDLBf+cpX2LVrF4cOHUJVVVatWsWmTZvYsGED69evJ0VqNYQQQryJnEuZQHZ6hDXJVawcehn7YA/hmMbhrjwOdBbSG5iYGTMw8KUH6SsYoT+tD5/ajtMWRQsMEewLoIemqWtkrLWVFXs0iywjj/yQB89QBlbdztH+CINhHd1QGQ65CcdsJBOgyDHAAs9oaJ3Ut9UwIBTTsGkxosNhmgeH8UchYHWgTwpSqTaVZelWHJYIS7M6WTLPT15lEopFQ21rm31ozckhVlGBXlGBkZcHikIgEuDBEw/y/SONtPjH3rMClhugrZyy7hTeWTRx3cZ2xVKiUZZld7C9pJaBoJMdrRXUZ6zFOG3SSxkcxNLUQBHN6Ci0nl6qkZSEXloKkQgZPdW4YkN0DbuInB5cbTaM3FwcSohLlH3kOft5rbNwahB2ONCLijBSU8kYbOBSdRfHvadoHTbTt24odPkKaRooR7OmsWLlvGmDa8lINVuVl5mX2jtttYbhdBJbt47YmjVTfhgRr8+MSxHvvvtukpOTue2227jjjjsoKCh4I8clhBBCzEo4DMeOaezfr9HXN/Nsq6LAwiIf69V9lLTvRekPmaGqvZJD3fnjt5+jSpgBVxd9eUP0Zw4QtkXRNHCqQZIGhggOTO3FCqMTsMEUrL5S0vUySpV0XMN63HMNA6IxB33DyagYZCo9OLQRopoFkh2QPDGDOhK1oCoGRjiKPexFUQxsDgexZBf+03q1KopOqaeXdywdpHyBgsWuofQPotS2nf0Cjt2Sr6wkVlnJ6fu3hmNhHjr5EN2BbtxWZeLNDm2A6mUQ0HCmjQbuSAStrg6lt5c81xBXz6tGU3SerF1E7XA++sKFcb1flZERtMYGCsN16Cg0+07b+MFiwSgpwbBYSO+sIjk8QNdwCl7DM/V5ubk4LRE2qDtIs/jY31HEK77i+OfZ7ePBNWuonq3Dj7EkuwNVMWgNQKPPQsdQEa3eMnyGm+a0PDwl+SzLT54YcyDA/FgVm3mF4rTpyycNl4vY+vXEVq484wI6cf5mnIH9/ve/z+7du9mzZw8+n4+Kigo2btw4/lFSMnXqXwghhHijjG3xevSoNt1i+XF2m8GqnBYuie4mvfMkhm5Q781gX0chdf2Z6MCwzctAUht9qd0MZY6gu5ygqNisOvawj3DfMJHA1L6dqqHhDuSi9JfjDM4jzZZOhsWHclpD/6iu0D3swhe2Y9f9+Ee6iBr6+CyqQ1NYmm7FpqoEIhYsSgyGR3CoIXM2NilpfKHQ5F6tqc5+sl3tZBWF+OiaZDIjIyh+/9kvns2GPm/e+EwrTue0TwvHwjxS/QiNg40ADIZ1HjgSwtdcAc3vBFQ8NoV3lzvxDPSgNjWRzDCXl9aS5fTxSus8avqzMFJSiC1cOBHmwmHU5mYyh+qxKDG6h09byKQo5sYPbjepfQ0kBfvpHU42W4HFfQFU9OxsnPYYGy37SVaG2ddRNOV8hs2GUVSEkZJC3nAtWyy7WZDWNX67fyRi4YXmQv7vWB69ehLNaXl0pGSS6rDw7ookUm0qWsDPEv0om9Vd5CRNP5ttpKYS27iR2LJlZ2xXJl6/s9bAGobBkSNHxjsP7Nmzh56eHvLz8+MC7eLFi9+oMQshhPgbNVYm8OqrWvy2otPITg2yznWC5d6XsQ8PEIxaONSVz4GOQvpCdrzODvqSWulPbiPoNjBcLnA4UBRIsoZRhgYZ6QtixOL/m0wKe0gP5GP3FRHtn4fqcJPhGiEp4hvvkzrGH7bRNexC1yFb7SXVEgCrhaDFRpM/RlgHmwqZdicODYxwhOSYz8yqTqfZKus0KfYgFemt9KrtBJwGaarOtZ4IqbYzXw+sVjOwLlpktp2a5tyTBSIBHq5+mDafOYvr8yk0NqqM9JbQ2fx2hiMWXFaFbakx0prrsQ/3s6Gg+f9n77+DLEvTs1709y23vc+d3pb33nRXj0Uj1BIzMlcCSehyAN2ACxGcEOKCuAEniLiYOOdIgqOLDugSAhEgISF0mNFoZqTxpm11l+nyvrIqfW7vzbLf/WNlZVZWZvW0xPRoZrR+Ef1H5157rW+vvbv3s9/veZ+XyVSVt5amuF/Nb5mKheOgLC6SrjxEle6WDF1YG+maTpNsLBJqV6n1o0ieqawLgTcwQDzqcUa/jOH2uLAyuTWT1zCQ4+PIZJKJ3j0+pL3BzvTGdn/DDPH20iTvFMYw1SjN4TG+5qZpuYK4LvjQSIic3eYYVzinvEk20tv2XslMBufcObyDB7cZ2xvwfvAnGiV779493njjDT7/+c/zpS99CSCI0QoICAgIeN+wbbh1S+HChXdPE1AU2D9c4bS4yNTqBYTrrGe3XipnKIQKVKOLVKNLOLoH8YQvXFUVTZNEZBe32qTf2Bj/pHkG6d4Ime4omc4o7XaenoygR1Xy4RaquVnUuJ6g1I3RMMNE6TKsVdBV16+iPuWhdDyFtmWgeA4hs0VYmEjD8IXrM4ZKTfHYnS1xfGiJqZE+inTXq7xSQrEbp9iJU+tHqffDdGwDTyrM5Juc/rABB/a9J9H6hKbZ5Hfv/C7lbpleTzA3JyiXFeJymEPuX0EjBK6LsriItrTA8aEF9mSKXC5sNErJeBxvzx5kNAqeh1heJlGYRXUtWtZWP6hMJPByOeKtAnq7SqMf2dZX6uVyJOMeZ/XLuLbLpZXxLedbF67xOLucO3xAfYPJZH39fIVOnDcXp7hVHsYNRfDGx7fkuBqtKsfkZV4KXSAV2n5ErszlfOF64MBmf2zA+84fS8BWq9X1NII33niD69ev43keqqpS/mPEcAQEBAQEBLwXGo2NoQO93vOFazTkcjwzy2nrddLVx3hScLeS42ulJFfcDtXoIs1wGZC+uEnEIRoDIQjpDnrPtwk4pl9B1c0kVnmYUHOMdC/PaDRKy4zjGhHSMYukbIK7uYGra+ustuM4rmBAVMnqLTD0Tc07UvpV2aW2Q7lpkpJ1EIJ0Js5EeuO4Jzmv0VCd/dkF/tLhLiNJ3zOKEKx0VD75IMGj+gCN/gBD4Rhhde3+KApeNovM55GZDKfOSL7/+zfsD6+v9PjbrzWomx7pkMKvfSDFSyMbFoKLhQX+X6/8DuVGG1HXGXYNQoovXg+4P03PDHPlzjKZpXl2x5b40d0l5uujfsX1yfUnJvDGx/3c19UCoeXHqHafvqNvEaUyHMbLZgn36uitGh07tL1wTaVIpzxOG1cx+3BxdYL+s7FZuo4cH4dEjAPeTV7SzjMSb63f+/lmmjeXpnhQzfsJBBMTm0e+Skm0XeK0uMAZ4woxw352Gf5hQ0O+cN2zJxCuf0q8q4BdWVnZJFjv3r2LlBJd1zl27Nj6WNkXXniBRBDEGxAQEBDwLUBKWFgQXLyoce/eu6cJjA30OBO6yoHKa+j9Nj1H5UuVKF9quczpq/T1NT+oEMho1Beuhi+QolofUW/QrVoonkK6N0K2O0a0NcqDYoieIzHdMF03hojofGjEJOV2t6y10otS6UUxPJMRreiPGY1GN20l265CywqhejbNeo2m2aOvhejpYZ7sjk/EFKYSOkKYlKzHpEOPUOM2umsTVqK8kB+l2s1yt5riG0sh+k9ZG0KawoHpAcIjg8iBgU3XHhnx+Gt/zRdir6/0+JEvVHGeuqeagE//QJaXRiJ8beEmf/0P/y/qqxKavoczpApeTO/kpPgpejWTK2/dZdCdJRdbpdodomsOciirE1YFMpPB3bnTz60tFNEW5lCsPq6nbBWuhoGXzhCyW4hGE8vVtu/kTybJpmxOGNdp9XSuFMY2T0FbO5ccG0OJRzgqrnFOf5tcxH+vPCm4VxngzaVpllopP9FgYsK/T08u6HkkWiu8yJucjN3efmoW4I2O4r70Et7Onc8dEhHw7eG5AvbYsWPMz88jpSQcDnPy5EnOnTvHSy+9xJkzZ4g8x/AdEBAQEBDwJ8G24fZtPwZrZeX5VS0hYN9gmRfVt5ksXMJ2LS73Tb7QhEtWl55irR8rNXXNJhADRUVTPSJuG6faQjYMcp0Jct1xUr1hVOmLots1h8fNGD0RhpAkLeoYnk0+vJGzarkqK+0EfVsjS5UBo4HQtU3Tr6SElhXC9QT0TdKyilAVzrd1nG18krloif/leIG73RUe1rp0ZZRCZ4zV1jhtM7l+/bt1m1LfQyJoROIU4zlKsQx78hE+MbX1u/n7vs/hzBlfkB35vVXm21vF2URM8C+PzvL3//BrzC+JzZm2vd0cMj/OJ6hSmruFIxao9wao9TaiqTLxMPtO7UXmclCqwPw8Sq+LYBudp6q46Qya00c0m3hy+/daxuMMZ/oc1m9Take5Udo8NQs2hKsWNzjOO5wLX1rf7nc8hWvFEd5cnPJ9tPG4L1xzuY0TuC75zhwvytc5kniEpmw/hMKbmcF54QXk1FQgXL9DeG6L3I4dO/grf+WvcO7cOU6ePIkRxEAEBAQEBLwPNJtw6ZLG1avKu9oEIiGXY+lHnDZfI1K4z12qfLpn8WbPodwP+Qc9GQAVDvvV1kgEEER0G7VdQ1+JkGpMkO2OkzAHEE81B/UdjVIvxryl4kY75N0SQsp1MWe6ftNPsZNAuDbDapF4yPSvoW3sQjqeoN6PoHgOEbNOSukjw2EIp0EInN6GnzKk9RmLP2Y8/hjNsJlOpfjM8hDXSkNUOoObmpesNW3V1CM8jGUpJnJY2sZ3c9veWo+amPA4fXpDsNbNbQRaz6Iw/3X+9UKZelkFuXGMaB5n/PE+DjnnObWjyR+4Bo+b+9Yf94RgMTXM/Pg4e6SNd/EqdHsYirtV5ykKTiKF7poo5RJSCOSzqQL4wxMmcm12K1dYbib4SnXXliauJx7XUEzltHKRs6GN7X7LVbm8Osb5pSnaVsj31u6YQGafiuhyHMbNh3xAvsrexOJzNam3Zw/OuXN+Hm7AdxTPFbCf/OQnv53rCAgICAj4M0ahIHjrLZXbt9Vnm/c3MZjqcyZyjZ31r/C4OMdnqfJWz2WxnaRn68BaNVMRyHgcGU+ApiEUSUq1yRZj6I9GyHbGCbmxTeeWEhpmmKYXQw9rjGQbdN0WpadyVj0p6FgJLCtGzuswY8yhhViLttoQkC3LwHJURL9PVi6jaAJSMaS2uSoqgGy0wI7oA5LxCq6ls9CbplIZ4v/oDXO75lB+JufVVjTa+TzuoQkWKxqLdRuSDuS6YAtYDhPXN6swVYWXX3Y2ibN0SKFprwlaU8BcG3pfAKOJjBoYTwrDUiG7dJKjSwZD2lvE1SyXV8fpWDbgr60STfNgYIKIaXF2/j7Oqk1YdRDPFpeFwIkl0aWFqNWQCohtFKOMRtk12GBcXudRLcPXmru2HhMKIcfGiEY8XlTPcyp6c327v20ZXFie4NLqOH1HRyaTeHsmkU/n2loWe7nHOfcVJqPF7YWrquIePIh79qxvMwj4juRPlEIQEBAQEBDwJ8Hz4N49hQsXVBYX380mINmVKrFf+zpm7Svco8Q9p8dyO8lqJ47rPTWpStMgsWYTEAohVWPaypJ5HEdfHEGVWzvvnyQF2HqUeNQlLesIzxdCT3JWW5ZKy0yDKxhVyhzJ9jBikU3B9J6Eej8CrovRb5JQun61dZskgXS4x7HsHKZzj+u1DsvmOIvtGapdv/npiQf2yfW7nqAcS1NI5JCZND/3oQjH9wiUjMXfuVlmriThXgxKIT+LdS2vFHzx+oM/aHP48GYh/PpKjx/+dB13NgLVO5D8OgiHQ1mdlKHQdz1mlxym7+9npuPRs2N4XnLd49p3JRdbCtfTE3ieykR1lbzd4fig2Ggiewo7FEMTDm7HQlOfIzciYfYPV8k6Be5V8pSemoS2/h6Hw3hjY2RjJi/yBkdjD9BV/7XV+hHOL01ytTCG4ynITMZPFUil1p+vWH2OKDc457zCYLi5/ToMA/f4cZxTpyCYNvodTyBgAwICAgLed0wTrl3zp2XV6+9uE5hJXCLa++8s9+9QEB0a/TCLrRTV3jPV00gYmUhAOIJBgml9molKBHE7hNPbPouz72hUzDgyHCYX7hCxNwfSS+kLouV2lGanS1YUiRougwMJQrrAUnuYWo+OdGm5EtdtEaWKpoAIxxGqgSIVQk6MuJVF93R2Z0ucStxlJluj1I1xs7ODT93Pc6+xIayfiFfw46Sa2Txft5P04pLJvTb/4kdCHBjxN00bDfi/viD4D19zaVtyPa/0iXidmPD4wR90yOU2f703GnD+vManXuvw6cansYx7qIpgT0rzn9vvMVTVeKGwh+vLWRpmGEOBqYTmN2jpOnJigqITYu72ImqnRcKw1x/f9H7rUTQcvL6zLjSfRY3oHBgqEbPq3KoM0zS3idaKRvFGRhiOt3iJ1zkQn18fPrDYTPLW8hR3yr7VQuZyvsc1viGAdbPNSe0qL7qvkTK2z3AlHMY5dQr31KnnDnQI+M4jELABAQEBAe8b9Tpcvqxx5YqKuX2UJhKJEV1gMPYF7PaXqdoVPCkodmMstVJ0rNDGwYpAxuLIRJyoOkKefexTB0jP9yk97OHJbbam12wCLeLoIZW8Xkd1tk7KKnQSNPs6MW2RaGKRfqJNJ96lr7cwtS59tUPP9e0OqmMRpg+6tpatuvm6huowEqmzz+gx48aI1T7I4+LebauLsObpzOeRQ0MMTEXYtctlzx6PkRGJsEyUpSXc5SJX3nb5xqUUVtcFRUEODOBNTICqoqrw/d/vcOzYZv9preZbNa5dU6m5i9xVP4UpGhsHWCZGq8r+ep6R1XP07WeGCygK3ugobTUJKwXUTpOYvk28lJR0lRi6cJCWg6FtL1z1iMrBoSJKv8et8tCWKCzwfbDe0BA70lVe8l5lJlZACP+9vFvJc35pisVW2h9okM/7ma/RjXVH+lVOi0ucFW8/PworFsM9fRr3xAk/NSHgu4pAwAYEBAQEfEt5Mi3r0iWVBw+2j8GSSNosoycvYPAV9N4dhJRr3f1JlttJbPcpm4CuQTxBLLqTrNjPuLqLZK3LrXfm6NTEpkrhE1xPUOrFsfUIibBDStYRTzUoebiUlQ7zbp+OXsKIPEbGSjhhNmV7elLQczRwXUJez+9U141tJy5lwl1GQ2U0pc3NWoiSnaVvx8kZIY5VPshA56kx7EIgs1m8oSFGDqQ4eFiya5dLOumx9GCR3/3yLcJzj5islUmJGa4XpunYvtBqWB73Gg6OJ6lkh/jwJ3bzt35cMDoqmWvZ/PPLLeaWQHkc5bgTJ67DgvIqC8rrrHelWSZ6q06032OieI6Bxp4tr8fL52moWWSpQqjX2FYMSinpyggqLqp0t6+4Skk0BvtyBWzT43Z5GMfbpoErkUAO5jmQXeEl71VGInVgI1Hg/NIU1Z4/EMIbGsIbG9vI2ZUS0VrFK77CTu8KmZC3qTK9fo10GvfsWX/c63sc7BDwnUcgYAMCAgICviU4Dty8+fxpWRJJhwJV7QZ69A0y7g3iZhWAjq2z2EpT7MSRT1dRI1ES0f3kwsfJyj2MR3USpccs3ihxYdnblIUaVgWHsjpCapTMJIQM3ybgtJFIunqDVrhMy6hQVJqU1BaK7BNXe74/85lKquUqOK4CjkOEHkJTfOH6jLdVVTyGwnVGwxWEEMx201yvxHG8zX3SI6EQL638CCHdr7TqE3kOHNM4dthixFtCWVxEWVig8XCO/3arTtWUFFrjzFb3osjwug+1YXncqNpIIGa0MHbU+MzHPswfvJxlPK7x8d9usHA1DBXfq5uM1Di29wu4WsFfiG2jNasYZhujM8zewgeJOJs9n142R1VkoVYjZtWJaA7P4nnQ8cII6RJRHVRlu18qklTCZUeySLuv+QMEnh0Li5/1qgzlOJZ5zDn5OpmQn+HatXUurYxzYWWCru3/aPBGRvzRtE+8yK7LsL3IQfMVbixeo2FvCOjMU95gmcvhvPiiP+41GD7wXU8gYAMCAgIC/odotzemZbXbz8QdrVVay8od2tot0qF7jNpzhJwuEqj2oiy1Un4j1BOEQsrYSy75Ijn9CIaIMKyXMRYfU3jQxfHU9SzUpzGdEHooze6cQdYo09OWaYZLa/8UsYRFxzYwHZWw7BPTTISmbqqkSnyfrHQ9VMckpDi+sNV8Maq7IQw3iu6GyOsO+0JFdsYalMwEt3vjLHfi3G316Ro17HCTJ9VOTyhY4Qhnho/x8T1/jf0HPPYnF4ncvY566xb0++tr+PSjPl9fzDNf20nH2ojnepIDe6FkYXsOO3J3GUvN8QeHP8qVsf2MdMKMFRNcvPfUq4ldhfTXGYg67I2C0qyj99vYrsJoYz87KidR2Hj9TjJNhRyi0STlVrcN9Hcc6LoGAknMsFG2szRLyVCqy1i0SrETZ7GV2fazIzMZQkNJTqXucVaeX6/w1vth3lqa5EphDNtTff/t2Bje8PD6e4HjsEve55zzCjPhFT473+NmbavQHtozyf/9f/o+vF27ggzX7yGeG6OVyWS2jbnYDiEElUrlW7aogICAgIDvfCoV31t544a6aaqqL1pXKCu3KYtb6EaBMbHCDnsRtefieILFTorlVnLd/yikQtqdIhc9STp9FkNLYWguI84i9v0FiqtPzu6LrSeZqFJCx07QNDTILJJNX6CQL/MgVEEK/yDHE7SsEJ4bIiZ6JFTbH/Eqnk4TEPQdFeE4RB2ThJMkKqaJulmiVoqwEyfkRDFQOZBa4HTyDrlwnxvmSS4uzVDqxokDe4BKwcSV4Ck2y+MPWB17RCcWQs947D5+nz8f/RxDby8gSqVN99OTghulYX7/zjgrnc0NTbaiYXkehuowlnzIUOoRIc3kfmaSKxyD16NUuxpaVAVcUBuQ/SMIzaO5NrFaG63Zx5UKwo1zqPQi2e74+vmtaIqyl0GptMgpj3wbwDMKwbQElqsiJSQi1vZa0PMYz7TIhVosttJcXp3Y9rMjczniQxFeTN7ghHgHQ/U/QIVOnDcXp7hVHsaTwo/NGh/HGxpar5oqjslh9TbnvG8wZNRgzQXQeiYH915+ild3nGRm/xR/eXd+23UEfPfyXAH7C7/wC+9ZwAYEBAQE/NngyZjXt9/WuH9/YxtWIulSoqzcpiRuYCpVBsJtDrjzJK0SAjBdlblWlpV2EtdTUKTKQHeMnHKQdOYsanYUgITRZ6B5i9a9IkvN7b+mhOJSiLRppSooicco4RUQHk1NYIRVJH6gfdsyUFybhNbys1s1Ddho2BFWAr09QLwRZcjUiYthwtoAQmzeYo7rfU5lbnI8+5iKk+LtzhHuLA5t6+NUVJWFaJaVzADtqSNEB/83pp0FJtt1Itc8DEci2Kg4e1Jwt5LnG/M7KHfjOK6NrSjUI0mq0RSK9JipL3BkaJa/c2KV/3S/RrUvWKpP8Tn5o1Dzt/9DhiCuA7FrkP4qqtcl02kSM7tENQUvrJLvTLG7dBbd8wVyL5SiKjOo9SZD2hyqvnVTttNT8FAQ0iMR3VrhBFCky0y2RliYPGrlWWykth601nCVH4QXI+9wWL+DqkikhPvVAd5amuRxwx82ICMRPwprcHC9ahpyOpzUrvICr5EUXXhmvlJCF7iKwrWRvbw5fZRSwp+49WJ0+0SKgO9uAgtBQEBAQMA3xXHg1i2FS5c0Vlc3ihtdSpSUm5TFbXqigqp4DOtVxt3HRJw2AE0rxFIzRbkXA08l0xsl350hGz2JMjq93j0+qFWIFR5TftikZ21urvFwaYXLFPQSy5EazUiJptkGb0NQaYogH1awXIO+rWGs2QQUXfXHyHoGif4AiX4emiNEWynCbY+k3oN4fFO+6xMmY2VOJ26zM1Hgrr2Di5WdLLW2EWf4DUje8DDdyTi/Xi9ywLvOTP3rlEIXEMChrM6EHuF/dk8hEDiewvXiMG8sTlN1U37gfipFPRznd5bBanXYUV1gn7jDieG7/OwBgUaIP5wd5T/fHuFWZhfL6SHAd+7++G6TavTzvF2+SbjTJGr1EUg0RTASCrGneprh1i4EgqZI0iCJ0W+TN+pbbABSQrun4knQhEcsur1U0LHYmauB4/KgtX1jFoqCNzjI9Gifc9rb7NTnEcJvzLpZGuL80tR6OoNMJHzh+tS416RscFa5wEn7POFtvLgAhMMs7zvCj1SmuGFv/DiYSaj8/g/k1iPKAr53CARsQEBAQMBz6XTg8mWVd95R6XR8ldOntiZab9ERRQDCusOYVmDEfIzm2ev+1sVmilY/TqY7Sr4zTcbdgTo05W8J6zqq4jHBInJ2jtUluT7rXiLp6U1qkWVqkRUKepm+rqIISVT0EFLiSEnd9HAlKAhUEQEXIqJPRLMJkyFpDpHqD5Ls5wmZGRq9EKJvEncbhML+5K5nG3pU4XEg9oiz+QfENItLvYNcLoz7TUTPoqp4+TxidJg9x8OcHXnMRPEyi5du8vuP67ySu4Gj2+tZq8e8If68vY93Vkc5vzJNMzqCNzTkjzl9suvZ72M9eoRev8B4apbhWI/DmTS3S9NcLYxhRxIsjO7g0xUV05EYGry44wZd7SvQLmO1urRsF1eCKmDKHeNg5RwhO05VZugSJeI0yemtLTYAT0Kj7Ve9o7pNKLz9TmxE9JjJVOnZGo9bg9s3ZmkaYmiAfWNNzok3GdV9y0TbMri8Os6llbH1VAWZTvsZrk8NH8h7Bc6p5zniXtm+QQyQ8bgfhXX8OIRC6wkMq12X4ajK/3IiEYjX71Hes4C1LIsvfelLPHjwgP5TZnPwPbC/8Au/8L4sMCAgICDg20+5LLh4UeX6dRXHAZMmZXGbsnKbllhcPy6u95hQVxg0FxHSw5WCQifOSjNDuDFDsjlFqzBMw8jSHhrlxJ4hUiGViGoxbs3Su7fEasUXMY5iUY+sUIusUIsu09PadN0QnqqhC5ew7G9Zp+0ptC0DHJe8Y5C386S8CVL9QZrtMPebDrarIm2NHarJeLiLEvMnZT0dRaUpguM5m+/L3uPEwBz3+nH+fw92s9QYQlWUjbD/NSpahC97GVZyKQbHGvz7Pbd4sXEb0ekAULdc/vf2DWa1KoYKU3ENgcbR5R/icevDFEIDfMNOUkcj8WQQgSpRV5Y5Yl7gWP4u12p15hoplhszqN4YIU3Fm5jwc1/XlGeXMnd7n6TTv4ns9lHFxle6IlV2VE4x1NhL0c5iKWEysuZXnJ/B8RQaTQUEpCIWmrF9l35GbTKcaNKwYix3n9OYZRgYIxmOj65y1nuTlO4nChQ7Md5anuJGcdj/oSIE3sAAcmxsY/iA5zGlzPOi8xp71QfP7bmS6TTuCy/4UVjac92QAd/DvCcBu7Kywssvv8z8/DxCCORaqN/THtlqtfr+rTIgICAg4H3nSX7rW2+pPHqkYNGhLG5RUm5uEq0gyWkNxlkk7ZTX/a2rrTS90h5SzR0MdCZxnRBft5PcjQ3SDvtTtMajLX4+t4Kcq1HthugYNarRJarRJVrhEhKJJ6HrhZGKSlgx0eXWbWPTVXFbOZKNAabtGAOMYSgbUVClnsuNikB3HKKWSUjt0Q7H2JENk4+om6KoslqZfZGbjEYWOTyzl7eLu/nDRyme/nIUwMGcQXJsiMVknv9qW+yI3eFU+x12VhdRkfz0rggTcY265fJPC/e4FVn2Uw3sKFVllIOhv8C++I/S8BT+64Mudcu/guo6HOit8neHbvOx0Ydoapt/fSXJrfI0zX4aADue5NjpPSRyfoXSkw4P619i1f4i0uqiPVOhTPWGmC68RLMzjSdU8lqNqGZtuY89W6PTBoEkE7d8u8U2H4xho0Im0mXFzFI3nzOMIRIhMRbn7MgcJ5y3CakOUsJ8M8ObS5M8qK41Um2T4Socm4P6PV50X2VMWd32/AByeBjnhRfw9u4NorD+jPOeBOzf+Bt/g9nZWf7zf/7PHDp0iK985Svkcjl+67d+i0996lN88pOfZHJy8tux3oCAgICAbzGeB3fuKLz1lsbSqkNV3KOkXKcmZpFsRFWpwmVYKzPmzBGVazmdVgizsht75QiZ9hS6F/Ijj4aH+ayd4XrbH5+U04vsbcwSLvfQ0g1Sw6tUo0tY6kY10PEEfSWCEIKI7KKw+etJdyKojWnUygSDzQRjOiixyCYhIyW0LZ3byw1CtgmGpB2KItcKLoqAc0MhLpb6DCuP2BG/SzzU4q67l+XmNJaTBsB8Kl+2rxkspwbpDeX5dz/Y51MXv8rE6g0Md3Oof8oQ/O0Dcf734n2+qsxT87IseuM0lBSeM8Z++6/yw1NxPjPX41bNAekx0VrhRectZhL3OJKTjIZ28R9vjjDX9O0KHSPCbG6cajTNgazOxyciFArXmXN/D1usbvGuqp7OaOEslE6jqgrDRnW9w/9pmn0Dq+ugCEkm4fhxYs8gPJfxSImwarNgDtF3t7FQ4G/j58d1Xszf45B7DVWRuJ7gdmWQt5cmWW77olvqOnJkBG9kZH2AQMjtcly7zln7NTJaa9vzA3hTU7gvvog3PR1EYQUA75JC8DRvvvkm/+yf/TNGRkYAUBSFqakp/vE//sd4nsc//If/kN/5nd95XxcaEBAQEPCtxTThyhWVty54zLUfUha3qGkPcNlcqQspFuPqKiPOPJrtIAGjPYK9chxt5TBRz2+akeEw3tjYeuRR836LSR4x1bpFxytRTRTo7ytgaB5DkQ3BZHoajhpCqJKY7PJkF1yRqu9f7YzhlHYh6imyapt01IRMZJOQkRK6pgLtLhFZR1MFrXD02QmvaFi8mLxH3rtBx1CZ7e9mvrQTy/VtDJqQSEAiqEZTLKUGaQyE2R29y4+bn+KH5vrcXWlhbjNsqu94fFEr8d+jOvf7Z+krEVAALwLVj9MJ+0K727eZaC1zmrfZG72NK1UWGzM8KEyxLx2h3rdxFMHD3ASrybz/Om0PubjErf4XqcevIhTJ0/VHCYQb06Tnvx9DRBmOVLYMCpMSqt0wbs8iovcYSIs18b/5QF2aTEZKeAjm+iN4bF/plOk001MOL8avs5OHCAmmp3JhZYy3lydpmuH1z4V86nMBkFHqnFUuctw9T0g626sRVcXdvx/3zBnk0NC2awj4s8t7ErDVapXh4WEURSEWi1Gv19cf+9CHPsSv//qvv1/rCwgICAj4FtNswoWLCl+/ssiifY2KchdX3bq9nNQ6jLFI3l5B8WDYS2JU91KZO0Wn5QsKg7UGnNFRZCYDQhASXeL2Gxy0znNPqTA/3Nh0XlUIf2tdGkhVRxUOMel7RyN2kmx3jEx3lEhnlHIzhde3GAk1iGYaa0kBGzPvHU9g9T3odImqNiIVAz1Nv2DydAE3rrTYHb3FTGKOM3sm+dzbR7m/MoH9TFVRajql1AD3YoMoGZMj4ct8sH6eWKVPyhBAnLAmMK3N1eEH4XHezCuMKU1WhEP/SeXaC0HpL4GTJaF4DDYf8tfNr2JFH9Cx4twrHaLcGQb8QQVS06iPDHNeyeGqGkpfMtgoklbeQp16nUbc3qTJJWD2kuSWP8REb4J8pI1QzE1rcz1BpR0CyyJpNAhndVC2Vlxjss1wtE7XMXjYH9/yOOCL6WyagzNtXgy/yjD+dK96P8yllXEuF8Yw17J9ZTy+kSiw9mNj3CjyIm+w37yK4slntbOPYeAeO4Zz+jQkk9scEBDwHgXs6Ojo+qCC6elpvvrVr/KRj3wEgEuXLhEKhd7l2QEBAQEB3wkUCvClNyu8du8OBXEdixZbi2uSAaPJhJwjZVcZkFH2ODtwVo5ya3EfbWvt//eqijc4iBwdRUYiuNhI9TJO/xXu1O5QdSROWiJ7Hk+5EFCFwDBidBWVkDQx3D6Z3giZ7hjZ7hhhJ07X1im1wnTtPsORAnreAHXz94zpKMiuidc3iYY9yMVBia0/vjupcbfuMKgWmEncYyi6zLI6gqV/lF+9NIbqSJynLACtUIyV1CB/7ugo52Ir3HnwaQ60byPavlBVgI9P+hXFj0+G+Z0HPepGjLeTJ7hm76Otv8HBzCKepzAV12hZNqajQfknUMwBTkQf8H8OvsXBSIFLAwP82tUzrHbS69fXdY2RgzO4k2PsdwQ3r7aIlFbJW/fpjr+GnSyQiSg8KSm7UtC2DFK1g5ysHyRnCIh2eLrk3HdUGm0NYVtkI3W0XAjE1u/rjKiSCXWpWAke9p4jXFUVYzDJ8akyZ8QfkVL9iLT5Zoq3lqa4V9kYEStTKT9RIL32+jyPPaFHvOS+xqQ562vZbVwAMpHwEwWOHl33xgYEPI/35IH9+Z//ecLhMP/r//q/8h/+w3/g7//9v89HPvIRdF3nK1/5Cn/9r/91fvmXf/nbsd6AgICAgD8GUsKl2zU+d+EO1wt+Vut2KLgMaRUmvDmGPJsD3gBT/XEeLx7gSmEcy/XrHdIw1n2MlmZS4x5Se5t25xLNhr0+WesJT6KuHE9gqRFSIZUBRyPfHSHXmSDVH0KRfhmuaYaot1QMaTIYbaNEw1v8jpYlULptHNsjHFMhEtlyjJAeeyNzDEfvcrVToygHmK/tJqWOMxDeqNs0LMmbXoK55BAyHuYfH1rgJ403yfZXWGg7fHa+j+lIQprg45NhJuIaKAq1yUP8t/YR/j8XB+h0ayj5P2BXrrEppcBxQjQW/wI7+01+SHyDl4dsHlYnuLQ6TtsK0Xclcy0HUwo6A4PsObKDRCRMs2iirK6i1Oe4HrlEIXcLRfFIhxQ0IbBchY5lELJSHKsfY9jdurXeNEP0Oh6qa5GL9RGRrfcRKRnTVwmpDkv9AUwR2XKeJ+93ZizM2YkljjqXMBQH1xPcqQzy9vLkRibuNokCGg5Ho/d4ofc18rK07flhrTHrzBm8ffvY4nsICHgO70nAVioVarUau3btAuDf/bt/x6c+9Sm63S4f+9jH+IVf+AXCwa+lgICAgO8Ymr0un7twhy/duEmh8/yubl3YjGmr7LVXOeIl2S/zGO0R3lqa5mbJH+cJawHzY2P0cioV9S41cQdVuYHaKFNvqTju9sLDQcVRIsR6Q0y00gz0xonYScSTap2EWi9Cr+MSUSyyMRPCW6uElumh9RrYHmiJEBg6EokqNcRaGVmTFofjj3hh+CG5QZWSmeTV+Rlul4c25ZRKTUMOD+ONjBAWJieMG5yTrxMXnefeJxkK82D4HOetE8yuxpESKuIu99RPb/EMp7Q4Pxs+yEebV6k1FC4sT3C7PLSecbu+htFRvJERTE+nV+qgFFZJd1epxeZ5OHCBvuZXOSXQc3T6toouFPa3djPdPrQu/MHPb610ozhdk5jok4h7iG3uo4rLmLaCgmTBHsEV22/EynCYyR2CMwMP2eveRhGSnq1xuTDGxeUJWtbad76q+okCo6PrVdOI7HI6fI2z5qvEeP499aancV58ETk1FTRmBfyxCQYZBAQEBHyPYLkWN1bu84V37nJh9hGmtU2n0RoRusyoJT5i9TjOAJNeivlGjvNLkzysDawf5+WytCcMyskVquIeXbFAjiqiVqPaDuHJ7Rt8XC9OwtlJpj7KRCeJITeLKSmh1I7g9G0SWp9EAqSmYqk9enqDrtGkpzfpe3VsWaenm9gxl6fb7h0paZiSWCfOKVfh7wx57BhOUenH+NrjnVwpDjLXcrA8MBSYGEoSmhhD5vMMUOKsd56jyvVtu/QblscrKyZ3jHHuJl5gKn8Yt7fWlITHgvI688orPG20jekmx0MW/3Mzxv3FAX73zgjL7TSGAlMJjbDqN015Y2N4Y2M0OxpetY5WKpAyS/T1FrMDF6hE/cgyT0LbDmE7CmHNZszKsbv6IhEnuV7B7ToKlhVlWNgMhjtE4tp6h//m97vHkFam6xgU5eBzBaNIxNi/q88LiRuMeksAVHpR3lqa5HpxBNvzRbM0DF+ADw+v57AOahXOirc50r+Arj7ns6couPv24Z4+jRwd3f6YgID3wHsSsJ/4xCf4l//yX7Jnz54tjz148ICf//mf5zOf+cz7ssCAgICAgOfjSY+5xhxvz9/g6zcesLjq4G3VY2tIMrR4UVr8OdfiADlUT+NW2R/nWegk/KMUQWNUUh5rUg4/oi9qGFhk3BJurU2tF0bKrQIo5MSImvtIWztJVdMkxdbBA08aihy7g5ZYxsm26YQbdIwaHaOOq9hIKVFdC+G6OEJDGDrPmiYdT9Lod4nrFRKhJo6mYgiNve5hIo9+EK8f50bVpudCJZZiMT2MkkzwczN1fiT8GnvFvecW/Wo2/L3iQf7QPEWzmQMEaUPwU7uihI0299RP0xBzAAjhe4ZHvCVOt3Xyix/h7aVJ3i4I+k9FcWmGzoEDE4THx6i3NChXiNaWiHttXOGwkL7OYvoWnnDXhzN4HsQ1k4RiMFM9zWB7BoF/3stFaPcMInafuNFERsMcGAj7Ivkp0tRIqy1qdpyGyDxXuIbyMY7vanDGuELSrSMlLLZSnH/W3xqL4Y35PwIQfkTarsgi57zXmDHvPr+Qahi4R4/6jVlPTdsKCPiT8p6auF577TVare3z2drtNq+//vq3dFEBAQEBAe9OuVvmeuk6b83d5O6jDqWSgnxOOUJIyQEtzA+ZDT6EToQolqv640yXpmhZYSSSZqJOcaJJKVfAUtdSAegyahXo1y1K/Qiw2SsZszLkOpOE3GPEnRxGp0FI2PCUePWES02rsezW6EaKMLyCGetuaeSRUqLZffAkrqpDKLTdgFKiSg+hlgkZLaSiYEqDVi9Ns59mUe0wOvp5ord/kAfxcZZSQziqypS9wEvd32d/cZ5909v7PTvhLFeTH+D/fW2aC6XNVcy6JflS+Rbjk5/HoU886jGslxnsPsJsSgaWPsjswos8lAp36zZ9169A2orGfGaE5dgQCy2VD98rk20toEkbiaQcm+dh7iJ9rYPpaHTsCIp0Seg99JDCaHMfU9WjaNLwY7D6EWZLNqLXIW/U6CajdEQUJMy1HPamdZCSIVFAw6FoZ6mT2aZZD1AUUsMhTu8ockK8iiFNHFvhammEiysTrLQ3EgBkOu0nCqw1ZunC4Uj0Pmf732Cwv2ZR2a4xKx7HPXEC98QJ368cEPAt4j3PXxPP+Vn16NEj4vHtp3IEBAQEBHzrqPfr3Krc4lb5Ng9WSiwtKVSrgu3VCcS9JB9S4/wle5VxtwNotC2Dry37zUQ9R6URLlAaL1AaqmMlJOBX1RKySaJXpN2UrFphNoSrINnPk+9Mku3NYGtTCM8j0q2iKWUQ4AiLZrhEI1KgqpcpizJSuET07QPz8TxCXhfHU3C1EDxnGlRS7zIZqzGQsLhRczFNnZYZo9obwFvb2rYUDXMgzNVji9QXzrDTesSHnFcYiSwiBHSczefuWDq3Iye4aRxjrj+MVxSstrvA02VsB1KvUI5f5lDCZUJdJt5aoVgMc68xyvjCxzD7I+tHWx5Yqs58ephlY5ioaTK9ssweVhnM+cK4o9d9u0B4hY5tYHYihBSLjN5G0RSS/UF2FV4gbmVwPcFqN4bXNUlSJaXbFPQQHRHb9FqkZzMuVrGlQsEZ8rf2t7oJkLrO1AycGZ1nj30LBUnX0nl7dZoLyxN07DW7hxB4+bzfmBXzr5UwepwJX+dU+xtEOu/ibx0ZwT19OmjMCnjfeK6A/a3f+i3+y3/5L4AvXn/u535ui1Dt9/vcvn2bD3/4w+/vKgMCAgL+jGK7Nnerd7leus7jxhzlMiwtKbRa24sCgziTcicvKzZ/3r5N1KuCgFo/wpuLU1wtDlMOlSinL1HOlzHTGoTWGnKkR44q4XaFWktn1fGFjJAKmd4ouc4Eue44ikjTD6dwsYh3iriqST1eoBEp0AgXaYeq2B7Ylj+iNGx4iG0C8/EcIl4XR6qYWhQ0BdXTiJgponaSiJ0k3I+yK2LykfwKB/MSDQU8+M1Vjc892IvlhEilH1MceUQtrhJLxhiOQLp9hR+yakyHVzdta8d1gScFD+p5LimnuW8cwHNjsDEQjIT+1BP0Aoz8AbHYI04bS8xUeyy3k9zojJHojLG3+BIhdyOXViaTFGJZ3m6lSPdbHGrcJ+vUAQiHFWzFZC5zlYXEfZqWgdcNEdUs4uEeQlUx3DgzxRMMtnfQt3WWumFEr8eAvoqR0sEI4zU06G94TCOiQ54SMRln0R3zhwVs8+2uREPs39njhYEbjNgL4MBKJ8HFlQluloZxvLUfQpqGNzzsN2YZfk7uUKTOOeMSh5pvolpbR/uuv6W7d+OcPo2cnAwaswLeV54rYBVFQV371SSl3PTvT8hms/zsz/4sf/fv/t33dZEBAQEBf5aQUjLfnOdW5Ra3y7fp2SbFosLiokK/v1UUqBjkvH3slRP8kLbMcesSmuKBCqvtOK8vTXK+JSjF5ylNvomVUpGJJGh+UULxHPJKCb1ZpdSOUHOjKFJloDvOQGeSbGcMTRrYkQROLILZbWA579CIr1LPr9IOVXnSzGS5ArcvEUISCT3ZvdtcIVY8i4jbQ7VyhOROYlaWmJUhZmUIOVE/ocBx2J0pcm7iIRODJv7+tKBlGnz58R7urQ7StxwaoRTzximaVpuE/hvstSvs6K5wbqDFSMmgYW2kHagyDd4O/r/LJ2nkpp+bNfqhkRBLPZvm4Ctkk3/ARHeBWE2galkuWQOAYKZ6nPH6QX+tQuANDtLNjtFxwuwqlgjVryOsDVUcUiXh0Vlezdyk4bkoPZW40UEPAUJBoDHa2Mdk5SjtXorFvorRbzEariByUdA3CkhTCY2WbRN2K8Rlh5adohSaZjBtsGW2LBAbMDi+o8bJ8NskvCaeJbhZHuLC8gSLrfTG5y4U2mjMUlUEkp3RJV70XmdH9xait+XUPpqGe/iw35iVyz3noICAby3vqYnr4x//OP/qX/2rbZu4AgICAgK+NRQ6BW6Wb3KrcouW2cKyYGVFYXVVYNvPChNBWs4w6B7giJfkg+Ii+/HjjqSEx80UnynGuOQ2KcfmsQwL4glkIr4+hUnzTAZlAdFsUuzEwTHIdscY6EyT7Y6hSr/G0Y9n6ESqVO379CKPaYSLSLG5y9xyBNL1EIAR8tf3NCE7ykAnxoSlI3tTqN4Umtw8BQtAuA4HBou8NPqQwdTmiVKztSy/f+8QXTeMNzREfWCYb9QVZKNJOPyb7B45z0yqgaZIdsssH+sc4JMPYjys5SlaEwzs2E10YnS9a3478nnJWP4ed6u/xoUHt6m04nTMBHFdRxOCkBNjb/El0v1hpK7jDQ5RjY3hWR56pUCms4Tw3PWUAMsDM1akOnqLtlYnpFjENBNFU9crlOneMNOlM3TqE7h9m4TbIBnqIxLxLdvvCh7DYhXLtrlYy9BSwhiq2Eg5WL+RgpFJldM7Chx0rqNKB9NReaewecwrbESkPZmYZSgOxxP3OdN/hZy58tx7JWMx3996/DjEYs89LiDg/SCI0QoICAj4U6Tn9LhVvsW14jVW1/Ja+33fJlAoKHjPpBHF5SiD3mEG7N0cVlc5577KpLqEEOBJyasNg880PO4oZSy1h9Q1v9oai60LprDsMuiuYjd61NpZMu1JBjpTZHoj69milmFRGGjRDC9Qde8j1e3Lb5btDw5ACPSntt6jVopkf5BUb5CxpsaE4lCWA7SUbTrQpUTB42B+lXNjj8gnNqcXWK7KK/M7OF/ciTfsD1HAMBD1OsrCAmrsy3R2fIGI5iCBhhlmcuWDmItn6Cux9bzV53kxBwcl+3Zb7OMmD+/8Lp9euctCJ06tF9103FBrJzsrp1FjOczBMRpaDlotko0lIp2tAyKqss+1+A1q8VmimklYtdc8wGvvgxNntHAWWdyH0u8zoFQJRRWIRrdsv4eESdYt0Xc0aiK3bVQWAJrK3t0OZ8cXmOj6SQvVXoRLK+NcKYxhrg2kQAi8XM6fpLY2rjWtdzgVusbJ7mtEvHfJxM1kcM+exT106PnrCAh4n3nPAvbq1av80i/9Em+88QaNRoOvfOUrHDt2jH/6T/8p586d42Mf+9j7vdaAgICA7wlcz+Vh/SE3yzd5UHuA4/mewk5HsLgoKJc3Jwq4ToTl0j6c9iGGvCR/a/wBP6S+zoBWRyJZkF3+qOny9a5JRfrjUWXI8IVJ5IkIk8S8NgPOCm5D4JX2M9CeJt0dQUFF4tEMl6kkC5QzFXpaEa9roortviIkji1BglAEqiaIWRlSvSHS/SGSvUEMJ0TWLTIYarDMKE0vsc1pJKoGxwYWeGF8nkxks3BtWB5/+Fjl0wsfpJzZweH9Y6QiOqLRQHn8mKS1RCf5Bhfzb2N5IeJqjLYVRTHTnKj9NGJkaiPu6RkMAw7sdzg+tspY4QqPLl/lN+pz3DAdfwTsU2iewZ7Si2SN4zTSEzh6BFGpkmnPo5qb1ywllCyNO7E7NDKXiYU6fsFX2RDPiqeSLp0ksXSMcL9PXq+hxKP+op5Za1ZrEDIb1Kw4fSP1XBEeiqsc2d3hdOY+WauAlDDfzHB+aZIH1YGNGKynhjiwNgZ+Z6rEae8t9jQvoWz7fvt409O4p07h7dzp+2wDAv4UeU8pBG+++SY/+qM/yvT0ND/xEz/Br//6r68/pigKv/EbvxEI2ICAgIB3QUrJSmeFG6Ub3K7cpmt31x9rNgULCwq12oZ4UdDJeXsIWwf4o3vDeN0Ox8VlXpTn6Zl96rsll2SNL3Ys7naMjVGv0QgykdjUmJWSdYb7ZWLlMezVHyTTG0WRKrZiUo7PU40uUk0WsSKguDZez0KxQd2i+ySu4wucqJsga42S7g2T7g1jeGspBa7LEAXGYlXm5CR3zOHtbgaKoXI8P89LY49IhswthzQsj39djvGb4mUWsjMgBA/vNvhJpUC8WUNRTN7kHjfECk55HABNEQwl4pxM/22Y3M2zUkzXYWbGY88Ok33ODUJXL3P7yxb/odvibW0eT8CzX4tZc5ppfoTe0C4q0iNcXSHTWuXZ0rjtKqx0YizFHtAaexUj0iClqSA2T8sKVfYzvHSCbNcmpa9ALg56ZtO5FCEZFEWEZbLaySKjExDZviEqnVc5s6fCUeM2IbuD3VN4pzTKpdVxVp+OwQqHkWNjeIODoKpoquRI5jEvWK8w2Jj1D9ruEqqKe+AA7tmz/o+BgIDvEN5TBfbll18mk8nw27/927iuSz6f52tf+xrHjh3jD/7gD/hH/+gfcePGjW/HegMCAgK+q+jYHW6Vb3G1eJVSd/M8+FrNF67N5hPlIMjIHQx6R8jK3agYvDa7RLzxOqflRWy9SzFaZTlcp6eFUGQW11NBEchY3BeuT/ydrsuQbHK0BerqbjqF/QgUunrDF6yxRRrhEjKkIwwdYZm4fWe7HiC/kdfWyXQHSZsT5MxRIs4zFVXHYVgpMJWoMCenWO1uH1av6AonBhc4Nzq7rXAFv9L3D8U+/s9uHu7GCd1XmawtM9IsMxgW7E3rXHBnuTf8yroXt6eHaIQTjMmf4i+Onlg/VzQq2bPHY/duj+l4ifDta9TevMfVx1m+3tC4lrlIT29uWYNmpBhxf5SE/gI0mqQbi2jtxpbjmmaIQidOJ/yY9sRX8WLltfdg40ZanoJojjIxf5zproIRUXxLxzNVzJBikXWLmLZKVWa3rcj6N1FhZsrm5MQqe+VdhPQ2bALFUUxnY1tfJhJ+fms2C0IQMyxOxe9wuvsN4v2ttof158XjuMeO+f7WICoz4DuQ91SBvXr1Kr/5m7+JEGJLHmwul6NcLr8viwsICAj4bsTxHO5V761FXz3GkxvVOimhXBYsLip0Ok88qWkG5VGGvCOESIGUDDirfEB5g3H5GlcSRa5Gq1S1Po1+hnZ3CENRGIwbkE4g4/F1MaQ6HkfcECerKp2VD7LczNIIF6nkLlONLtLT/aE0MhJGaBFUs4/bsoBnG9gFiX6GbGuITHeEmD2Kut22sW0zGV5ld67IPXsHbzXHth4jBEpY5/jAY14afri9cBUCb+9enLNnkaOjXPmjEkqnx2n3PKGFOE96xixPsJK4x1zsTaTn0TXCNMIJLM2Axodx5D4MA3btcjl40GNHooh+7zbul+9z547ClcIYs+2DPM6+w8rgfZ4eBYui4EVjhDjJVP8HidU6JJuXEJa1aamuJyh149T7YRRjnu6OT9NMLYOq8SR4VQI9W4d+jKmlA+xtZlCiIchHtojSjN4k2q9R7cVZ0YfB2P6r2QgLjuztcnLgEXlzGenCXCPDW8ubbQIIgTcw4PtbE/4PjZFUhzPaZQ7XX0Orbv/DAdbyW0+d8vNb36XZLSDgT5v39OkMhUJ0u91tHysUCiSTyW0fCwgICPizRKFT4FrxGjfLN+k5m5ueXBcKBYWlJYFpCjTCjHgHyctDJOS4H8fkeUzIx5zxvoKjX+S6WuSVoQpLHdUXrm0/LN9SdZxUEjmU9MUhGgPmKB904XCpx43SKOe9FpXYXSrTCzjKmgATAi8SRdNAdLs4PfDYqBVqnp9CkGkNM9AZJCTD2EqIbZKwwDSZjJU5PLLCrDXBVyont94QRYFwiMOZeT48cpd0eOtoWYTwt6jPnUMODKz/+WhziaOvf5GBTp0HiQMsNycJGW0qI/ep5R/guToretYXrgrgfhiGDnHoaIef+0GL0N2bqN+4ysrDHlcKY9ws7afvqhTjj5iduIitbqxFRiLYoThCyzFR+RDTlRhG4xbPjjbr2RqrnSSWDanwCsrMm6zm5taUv/916kpBx9YRtsqOwhR7GzMokRQMbE5cEEgG1TJKv0ehk6EWmYDI9r7SbA5O7a1zJHyXsNXC7ipcKY/y9vIExc5TlfAn+a1r/lYhJHuSq5xTzjNVu4rYYqrYwNu1C+fMmSC/NeC7hvdkIfipn/opGo0Gn/3sZwEYGBjg61//OkePHuXHfuzHyOVy/Pt//+/f98UGBAQEfKfRsTvcLt/mRvkGK+2tkUOO40dhLS8LHFslI3cy6B0lK3ehPKkh2DbT3GVCfJK6cYv7ShUHj7ZtMFtPcasSwfGgr4VoROLIcITDWYNhZScTvXH+vFMnWl/kC03BrFqiFl3GExuTpKSqICNRDNWFTgfbUdZFa8zKkO2Oke2Ok2ynCWsSz5NYIry9jjFNZhJFjo2s8LA3zvXiyEbl78n1NA1CIfbH5/nw2D3y0W062lUV99Ah3BdfRGY2PKCiWkX7/Odp3X/Ef33QpWZJbFenh8fy6B3mlVG0bAZtIMyFTp+27kD0w+hiFx/pLfHrgwXiDxe4sTLA9dLIug+0qzd5MPAW9Yj/HklFQcbimKEEQhEMVndwYGkHRmezt1VKqPaiVPpRdLfPYKRIefAmi4P3cZWNQH/TVek7GopjM1PPs7N2lFAov6XpKqKapO0SXUujIVN+Fu1zBOP0lMOZmQK7vXsIz6Vhhri4PME7hTH6T9sEolE/aSHvXy9q+DFYJzuvkO0/PwYLTcM9eBD3zJlNPx4CAr4beE8C9vr167z88stMTk7ywz/8w/zSL/0Sf/Nv/k1u3LjB1atX+epXv8ru3bvflwW+/vrr/Oqv/ipXr15lZWWFf/Nv/g0/8zM/875cKyAgIOC94HgO92v3uVG6wWx9dpNF4AmmuRGFFXLyDMpD5L0jhNiomIl+h5zyVeLKZymF5zDxBVHTDDHfTFPt+dmaVijMvBKjoxrEvDFeiB/hsJnnBG+z3LvN17sWq1oN+UyFTWoaMhIhrFh47S6OqyKkQro3TLY7Tq47TtiJg+MQC9lIKem4URASRzHp6S36epu+1sSSLbLxMlODKxTcCPdrWTQ7TsiJEbbjhJ04KXcaTY+zK7LIR0dvMxxvb715moZ74gTOmTOQeKp6KCXK9evoX/oSrG3ZNyyPV1ZMZqlzZXCegUMTeKlRYmuOiU7PpTM7w9Rjk12VZca1YR7VR5mtDeBJXxS6wmEhfZ2F9E2k4iFDYexQDBmJ4vUtUl2VffOHSXeHNr9/jkqhk6Bvq6RFnVy4STH3mLmhW1hrkWIS6NoGrgu622e4m2CmcYakGN8iSnN6A6NXp2rGMY3kc+OnDAMO7+txamSBfGceKWGxleLiygS3y0PrrwtAZrN4o6PIdBqA4VSXF8JXOFR7Dc3aftcU1vytp07hHj3qR3YFBHwX8p5jtK5cucI/+Sf/hDfeeAPXdVEUhRdffJF/8S/+BUePHn3fFvjFL36R8+fPc/ToUf7W3/pb/PIv/3IgYAMCAv5UqPQqXC1e5Xrp+qYUgafp9wULC4JaMcaAe5hB7whxNnfiW+YscfUzoH4NT/dF3pP80vlGhno/AsIPipfJJHF1kgF5gLyzj7S5Qp5PMWs/4krPW08feBppGBAJE6GH1+7h2VGynXFy3Qky3ZGNAQKuSyzaomVUWcGiG6rTMep0jfqa7UCC65EJd5lI1el5YeYamS3XlLoGqkrGs/ifwin+QjziWyKeRtdxjx3DOXt2s3AFaLfRvvIV1Fu3Nv3ZQ/KqMs8rozbu1JQv+hwHUa2SLrf4ydIwtIa4Whjlemlkc1USSSW6wOzARXpxBy8SxdajCMW3T4S6HSZL+5ioH1rPvpUS6maESjeK4tkM6VWiukk1W+bRwBW6ht/EZXuK72/1XKKyS9KOMt08S87esel1q8Ijr5TxeiYlK42Mbm3cekIm5XJid51jqVkiZgPLVbleHOby6jiFp20Cqoo3OOj7WyMR3yaQK/GCcoHp0iU/k/c5yOFhnJMn8Q4efG4cV0DAdwvvScBWKhVisRjhcJh+v0+tViOVShH9Nv9yGxsb4xd/8RcDARsQEPBto+/0uV25zfXSdZZaS889rt0WLC0pOMWdDHrHyMk9GxYBwKRBw3yTiP5FYupNfzsfX7hWe1EWmml/OpIikPEERnycQeUYee8QwvHwnG8QVb7IqlNlsZXC3k64hkMQDhOTLfSGRqyxg4HOBKn+EGLNxGqqHRqhAiI9T80oMSd7lE0XT0oUIciFFMIq4PnCdTLdACG4X83TtTf7OKVh0JWCdqdJJlQkFe6wJ6XxQW2YT3i7fTEXDuOcOIF7+vSWat9cy+ZXvzrLic//HgPS4kMjIVKGv84qPf5gsMbcaBSkRDSbiEYD0WqRt7LsXv4ID4vTm8XdGl29yezwVVayFWadCCYKEddmWu0RMrukO0PsKr+A0k8w13LoOgo9K0lKDzOgNBmItFAVaCabPBq47E8ew2/Ksj0F1bWI0cEgymTnFCOtvShsCMK41iNpV2j1dVokn2sTEAJ2TZucnC6x03uAcB1q/QgXl58ZOsBTY16HhkDTiIQ8jqYfcbr/KrnG4+d+LlFV3H37cE+eRI6OBv7WgO8ZntvE5bouv/iLv8iv/dqv0W63UVWVl19+mV/91V9lZGTk27nGgICAgG8rUkoeNx5zrXSNe9V764MGtqPZFNSXB1GKR5j2DvkpAms4mFS4Tct9nbhynuFIAU3xK2QSKHVjLDTTdKwQUlPRU0PkoqfJK4fRZJSKfZ2i92skxDuYnuBmI43jbp01L6MRhGEw5giyy3n06geIW1kAunqDleR9mqEizUgJPVZG4NE0I/RdKPY2vLKulJS6DrvSJvsGG4R1h0f17OZGIdaEsqbhdNvgrjAcbyKQmC7cqNqQXeUjkT1ET57DPXvWF3DPMNey+dEvVDhw/iKFapcCsNxx+cldEWZDJb5kzGGZBurNDkhwPEGlGydd+HOUFs5RYmsF0QkrzE08YiF7n46qcKcSRut1SNgdDNem4UY5232J8d4MpgMXiyrVfgpVumSUClJapPNR+rE+j7PvUIkt+E1ZVgg8j7DXIypsFC3EWOc0E43DaN6GqM8bNYxeg1I7yXJoCCLb2wTCIY+jezucHF4g211GWvConuXtlQkePp0mAMhk0h/zuhaDlUv0eSFxlaONVzEK9W3P738morjHj+OeOBHEYAV8T/JcAfsbv/Eb/OIv/iIf+MAHOHHiBI8fP+azn/0siUSCf/tv/+23c40BAQEB3xYaZoMbpRtcLV6lYW7N/HyaXiuMu3wUZeUYEwyvbx1LPOriEUWu0fMuMCZm2WNU1icceRJK3TjzzTQ920DRogwkT5KPv0iINFXlLrPO59DkTcblIh1L42Erg+M9I9gEyGiMtDrG/k6Y9PwgneYIPb1FPbLCYvoG9UgBW+0hhUIq1COCR8OMrPsoK6a76ZRhrUc6UkHoJq3+CLNL4xhWijEnTtiJocbyqEaKyFKH4+lHXDVvUBdJek6IlVgRAFtR+ao+xN//f/wsodRmX+nT/PPLLR61XGb0DXFbcCz+t/ZD4tEWuCDbNrV+hEI3QauVY8/qhwj1NxdQZCyGl8tSzBd5EH0dV23hdh0aqw0GO12ElCAVkuV9pAtHaGlRlrQUDxsCx2oxpC+jCA9TC1E2XEqpN1GHH9N3VSwzhPAc4rKOoggIhxjq7GO6eJSQ6/uTQ6pNRlaxug6ldgqikxDf3iYwmLU4tbfOodgjjH4Ls6nyVmGCy6vjVNb8zoAf5/UkBiseRwjYk6twSr7N7tpFRMvd9vwAcmAA5/Rp3yYQjHkN+B7muQL2P/2n/8Rf/at/lV/5lV9Z/9t//I//kX/wD/4Bv/Irv4JhGM97akBAQMB3DY7ncKdyh2ula8w355Hy3V1VRm8K6/EJjMIB1PXMT0mLJYrKDcrcwHCXmZRzDBr19VqaJwWrnTiLzTR9xyDNDOOJDxJN7Kam3GdOfJ22M0/OKrGDRdpWiHvN3DbCVSFh7GRI2c2ppodZhTtej8eROeqT5+lrTxqnJFJRyIRNDGFT6cVwvc3CyvMkEkHC1ZhQewx7Alk4SGHlDGOJccafiPJcDplJIIpFjsQf8pE9D0iFTJavJUh6CepGi4VEhYXMCIupIXQ9Qio5+K73caXri7AbI7v4wOxFitEKD9ILRDWXSTNOsRun1I3juCqZ7ijHSi9huP60LxmJIAcGkPk8tVCdeeNLNNxHiHYH0emgOw56z7dFhDuDZBZPIdsjNOw4riqZzNQY0bpUVBVb0fEUi8bgFRoDd0FoZCwN3e2TxARdAz1MtjvO9PIJ4pafmJANtQn3atQ6YVbVlD+WNbx1e15VJHt39Dk5XWLSnvVtAvUIX1/ew9XC6FabwMiIbxPQdWIRj+PZh5zsvUam/Oj5N1MIvF27cE+exJueDmwCAX8meK6AnZub45//83++6W8/9mM/xt/7e3+PhYUFdu7c+b4vLiAgIOD9otKrcKVwheul61syW58laaRIdo/SuHucVskXMCpg0aaoXKcortGVqyTdGvuYI6u3NgnXlXaChWaaUHeYUfU4idwx6okKS+IWbfE1hGWS9wrsYpmGGeZOa/AZ4SpIWaPkIicZZoqh3jvM23f4HE1a+QqbwviRSEUlG+4QUS3K3Rh1d6PKKaRCwsyStIbRCyF2aiVGojVsN8tsZR+rrXFCqkAk1sLwMxmUYpGh4g1e3nmXqVRt/VxhTVCTHn+422Y2exRX9b9SYkZ+y9CbZxmJ+q+vGI/w6niB5VCfUD0FvSS1dggARarsLp9hyD0C+RRuMolMJpGhMJ7W5rH4Msudt1GaLdTe5vcw7ESJzZ1AFg/TdXWios2gtkI+DPFEDOmFcUybRu421fxdbOGiuoKs0iLhASED1CgJc4CZ5ROk+8NoikveKCPbPUqtJNXICMS2/xqNhR2O72tzfGSZVGsZrye4Vx3g8uoYs7XcVpvA6CgylwMhGM70OBO9wuHqK+hLreffRE3DPXzYj8HKZt/1fgcEfK/xXAHbbrdJPNMp+uTfW613+Q8qICAg4DsU0zG5U73D9dJ1FpoL73qspmjsTu8lVD3G47d3slj3q5cuNlVxj5JynZqYRToWaa/KHh6TMrrrssRdE67l6hipxh72hg/TGdcpRWZ5IP4bIBFmj2G5yqhYoWZGudka8kfDAiBI9QbJW3tIpI5gJVcweIV77id5Q9EgtHXNUvWFa0LrUezEqTkRVE8j0x8k1R8i1csTlyNkNJMPjj4gO7bA7z7sstwc40H5AI6nA4LpHcO440MohQLxxzf5yNRDjg0tr9sgAFBVXvyhs/y56mN6T43wEsA/PfvCN30v/tGxOK/evc5q8Q2+pk+DqZDTOuzxWkhNI6FNsUf8OOGD03hrE6E0DTTDZrbxVebbX8bt1lDdzdvpQiqkS8cYXDzLYl0SoYYRsnAUFVU3GM3qSCExhueYN27S1zqEPZOY7CFUlXgiBIpCxE4yUz5OrjNJyuiTEEs0OyorXgKiOTC2F+hTwz2O76yxL/QIzerRqei8Vpjm0so4LespL7Ci4OXzvk0gFkNRYP9QhbPyPJPFy4jau9gEMhncEydwDx+GSOSb3uuAgO9F3nUS1/LyMrncRsOAu/Y/ipWVFdJruXNPmJ6e/pYvDnwhPTs7C4DneSwuLnLt2jUymQwTExPvyzUDAgK+d5BSMtecW2/Isl37XY8fjY+yJ30QZ/EIV74Yp90WSCQN8ZiSuE5ZuYOLCbZFzisxKRZIGRtTnVwpKDez9FaOEGvNMDiUorSvzLzxBhK/gUvpdxmWK4yqBSr9KNdbI2vCVZDq58m1p4gqwzRHJRXjHi1+CduWa7mw26QPaCqZUJcBo0mlk6JVPsBIb4RUb5iEmUVIgQyHiSp9PjB8h5MjS2iKR98JkVMO8nplECmhlclx8OAkuV4d5c4djg8t8rGT9whpT4kpIXAPHaL30gvcKHyNH1to8Nl5gelIQprg546e5mf2nXju/S2VBOevVfn0nS8w1prH6UssoWFEYCqXRBNZJpSPMOa9iIKKrkuiUQ+zY7G4cp459wuYXsVfylPndaVAre5icOUcOVsjG6kxY3g8tlQsL4yhwGRCpRhe5X76Gn29wpDboe86WJoGWoR0SCHqRZksH2GstYuhcBPNm6NQSdIM5SGyvXUupLkc3NXh1OQqg/1FpOuxVE5ycWUHt8tDuHLDuiENYyNNQNeJRz1ODj7iZPdVkiuz7/rZ9GZmcM+cwZuZCWwCAX/meW6MViaT2XYLSEq57d+r1eq3fnXAq6++yic+8Yktf//pn/5pfu3Xfu19uWZAQMB3Px27w/XSda4UrlDr19712IgW4XD+MPvSR5m7NcSFCyrdrsCkQUG5RlFcpS/qAP52vywwKRaJG9b6OaSnIKq7aC6cpEuY8liTSq6CXHcCSJR+l1G5zIhWpNKLsdhM4XgaqX6ebHsSwwvRzHSpDNZxKDPkrWDbUO7G4NlcVeEPKkjpXfYbLmptJ63VAyT7g6jyKV9lJIImbc4OPODc+GPCmp+ocL86wOce7KdthfxK4NgYol5HWVwkb9R5eecdplL1TZf0duzA+ehH6WYT/N6d39sSKzaWGONnDvwMqrJhf5ASKhXBnTsKt27Dlep55pVXkWytMCbkOLvdj5PUBshkPDzHo/GoQbN8k1n1izRDxU3HS/CnX3UHGF89ww4nSUh1/azVp3JOXU/wWDRYzF2kH1okQs8/xtBB+OJS9XQm6ofY1d3BgNum13Go2Uk/+us5makDKZNTexscyi0RblWwXJWbpSEurY6vTwBbX2si4acJrNkERjI9Tkeuc7j+Gnq3ue35ATAM3yZw8qT/3ICAAOBdBOxv//Zv/7FO9Jf/8l/+liwoICAg4E+KJz1m67NcLV7lQe3BthOynmY8Oc7xweNMRvZx5XKIS5c0On2LsrhNUblOQ8zxxF8q+j2GWWVCWyaqbVRxM24crXSQB6s7WI00KA/XsJMbwggkaq/DKEuM6iVK3RiLzTTh3iC5zjiaZ9AKl6lkK9hJHd01GfaWcVwodhJI+axwFWhKnF1egu+LmYjaTm4u7tlU5QN/2pLi2hxPPeSDE7MkQr7YlhK++ngXby5N+8J1YgL6fZSHD9HtHh+efMCZ0QVUZeOrwRsbw/nwh5FTUxQ6BX7//u9T7W0uWqTDaX7mwM+QDCVxXVhYEDx4oHL/vkK9LqiLx8wqn6crylveBwWNafkhjmTPYuiCxnyL3nwFs/qIucQFionNlUnHE/QcA8Ux2FE+wK7eNCqK7zF4qsDStXUKosVS7m3s6D1UXL8zX/Or3eBbDsaaezjZnyLSsqj0YphK5LnZrarw2Dvd5cSOKpPeYxTbot4Pc2llnMuFMcynhimgqv49HhlBxmLomuTQSImT7tuMF94B911sAtnshk1gmxiygIA/67znSVwBAQEB36k0zAZXi1e5VrpGy3x3j34ylOTQwCEO5Q8R9nJcuKBy8ZJK2Z6nKK5RVm7jslFZVc0OI3KZcX2V8NrwgRg6e+whisWdnG+EWEwWMDM6RGMbokdK1F6LMbnEaKhMuRenVp4m2hpH9XTa4Sr1yApu1EDGY+h2n1GW8FzJaie5JTEg5mTJurvZ6yb54cwqXSvEN+Z30rGfMsMKgZdMIlyXXfpjPjZzn3y0s/6w5ap85v4BbnEQb3IShEB59AhRrTIQbfNje28wFNsY/ypTKZyPfhRv3z4Qguul63zh0Re22DCGYkP82M6/SHExxd27Cg8fqvTXXBUWbR4pX6Kk3NzyXggFdqZ2cDT2A3ilMJU7VUSxiNtvsJC5wVLqNp7YGPjQtXU8KVA82NGdYUflALrYPN3K9QSVXpS+UaeQfoNe8g4oAnTjmSlYgsnuJCeak2h1jZKZRkYivgjehkTE4vj+DsfGiiTri3ien916eXWMe5X85qascHgjTUDTyCQdTqYfcKL7GtHy4rbnf4I3NeXbBHbuDGwCAQHvQiBgAwICvitxPZeH9YdcLV7lYf3hu8ZfqYrK3uxejg4eZSo5RacjuHBB4/VLbZbd6xTEVfriaZuBROt3GGOJcaOArnhoKOzxsozbWS7UMnyt16MRtZDJ1OZGGumhdluMs8RouILZzlNfPoBlh+mEqzTCJUAio1FfuFpdxlhCSI+ldgrH9berFamS7g2TMafIir2MYfOR/A0ims2XHu/ZPFxACLx0GuF5jLiLfN/0fWbSmyuklV6U36t8jEJmLzIUQpmfR1lZQcHjxbHHfHDy0fqQBcJhnLNn/elZuo7t2nx1/qtcXr286Zy9niDUn2RH5ydZmotiP6VrJR6r4jJz6tdwMJ9eKqmUJBGOsNf5KPb1EVitIBoNPFxWkw+Yy1zFVn0FbLkq5to9Cas2Q+YYO4rHiHqbu+7blkHbNjBFnU72G1QyD5G6uiZINwvBGTvHwdUpnMYwXaL++/ccsTgz3OHYrgZ7owto3RYdS+edwjjvrI7SMDc3UMlsFm9kBJnJIATsHGlxWn2H3aU3UfrvknSh67gHDvg2gaHnZ+cGBARsEAjYgICA7ypK3RJXi1e5Vb5Fx+6867G5SI4jg0c4nD9MTI/RasHr5yVfvnKPZXltk0XAR6L324zLBcZCZTTFY1TG2e1lcVyNL7XgSs/FNmLIZHLz1q7noXWbjLHE7nALvTXO3eI4FdGlFV7bNl8bPiBjMTSrwzhLGIrNQjON6ejobphcd5xcZ4KUM4ESz5KRNT40cIPpVJWvze3iWmkQV3HW/rFxsgl0L8pQs8n3Td3j4EBhixZrj+/m1xc/ToMUolZDuX8fYVnEdJO/uP8q48k1D6YQuKdO4bz00rooX2mv8JkHn6HSq2Db+HaAtX/SvePs8H5gPQ/3CQ0xx6zyBTrC96wKBVJJSTgscSyPyMIOJmYPYlT7ICUSSSU2z6PsO/T0Jp4U9BwNKf0c1bDmEDNT7KycItMfW7+O6wmqfX/ULF6ZRu48KwOzyJD2lIXDR1NcJt04uxd306/uQIYjzw36j+g2R/d2OD5ZItddQtoOi60Ul1bGtzZlaRpyeBhveBjCYaIRydHRVU5Zb5JbvO6v7TnIbBb35EncQ4cCm0BAwB+TQMAGBAR8x+N6Lnerd7lcuPxN4690VWd/bj/HBo8xGh9FCEGzCZ9/rcyXb11jVd7wUwSeRkoMs8UE84yGKqSEzkFvgIQ0mJVtXul4zLUSOOG4X3F9epCL56F1GszIAmfDNrVeisu1OAVlYyseIZDxGDIa8yu7Yom41mOhmcHp5sh1JhjoTJLs50EP4aWS6N4Ke/LnyQ485mI9yjv1GG21g6n1QEhkJAqKgtprMxarcTRpspsUMzLFtEwTRsMbG8P+8Ef43fM7mb1toz56hCj7Ynog2uanDlwhHfYrnd7YGM4P/MB6BVBKyWtzb/G5269Sq3vUaoJOx1fGCho73R9kSB7ddBtNWjxWvkxJuYmuS7JZSSQClimpLpnoxRi75w+T7G5UT5uhIrO5yzTCRfprolUiCBsuCh4hO8J07ThDrR0IFKT0q62WpyJtlzjLLA/cZHnoMZ4Oz1Zbo7pJrhNmZPkYodYM4mmbxzOM5zqc2NtkX3oFo1nFdFRuloe5tDJO4dlxutGon906OAiKQj5jczZzlyPN1zHKK8//gAqBt2MH7okTgU0gIOB/gEDABgQEfMdS7pa5WrzKzfLNb1ptHY4Nc2zoGAdyBwhpvi90pdzlv792l9cf3qDprW59kudh9JtMigXGQzX2kWFYxmkKk+tUediOsthKYYcTvnB9umLnueidFsecNnvjNRZNlUttnY71lCdVEch4HBmN+UKTJbKhDo3KDJT3ketMErPSSOHRjDdpDHTo8ZhM8ga5VIG2HeJ+NU/PXruu8IUTqgadNkPhBtPp6ro39wlaLMn3n/kZDp38C7zxhsqrv1tGefQIPN8icGBglY/vvo2hush0GucjH6E9uY9yRaFcVni0WucrC59nvvV4SwExJFPsd3+COBsjXT0clpW3KEZeI50zSSQkZh/KC3065T5qx2GmfJjRxj4EfvWyqzd4nL3CSmQB21NAPumv8hCuhyJVJuqHGK8fQJU6jidomGGkB2G7RUSpspB/wNLwI9xnX7/iEtP6RFoRskunyFm7EcY2wblASHU4uKvL8ZkKw/YiwjQpd6NcXJngWnEE66lJWYi14Q7Dw8hUCk2DAxMNTsqLTC69hbCtba8BfhqEd+QI7vHjyEzmuccFBAS8NwIBGxAQ8B2F5VrcrtzmavHqlpimZwlrYQ4MHOBw/jAjsRGEELieyztzj/j9t25wdXEWT27T6e25hPoNJlngRMhlBwlcIbkvqpQxWW4lWWhlsCMJ3yqgPSVcXZdkU7CfZYaTq8w5Do/rWZrm5pB6mYgjo1GUTptRljkWBrdwiNrCCTQ3TDNcohEp0IjXaKU74HYZ0UpMJmsI4TcIPR3FJGNRZCiEaLWJiza7MmVSoc2VZBkK4U1PI/N5QmqIn9v//+Tf/r0l+suNLbdgZ6aCu3MXrfG9tHsqnY6fd7usvMWc8g08tublDnlHmfG+Hw3/taqaRB+5zWrsSxCu0+tKyvN9mkUT0e2B5zHYnmGmcoKQGwPAVLs8Sl9jIfoIKSSoCiHdA9dFSAkIhls7maoexXBivmgFpO2S8aq4Sp+l4TmWBu7jqJvXmDD6aK6J10kxVDzOkLUfoWzflDWU6nLiUI+D+QLhygquCw9q/qSsh7WBzffVMPymrOFh0HXSKY9T+ccc775ObPnhtudff+7gIM6pU3gHDjzXshAQEPDHJxCwAQEB3xGUu2XeKbzD9dJ1TNd812OnUlMcGzzGnuwetDWBUu/XefXBNf7w8g3mi53N1tYnuC7hXo09FPm+sEZUqCwoDeZFc21yli9crUgKmUz4lc41DCdCrGkxpdwnkVyk62g8rmep9aPrx0hVgUTCF67tFocsi++PCezifl4rZyiFV2mEi7RDVaSm+Bmjtk1elJlJVwlrDoVOnNl6br2ZS0ajyEgE0WmjW12mUjWm413CQsGQKioKZcPGGR/DGxlZ77SPVJv8gwcj/Ouvn6Btba4+ykQCb8cO5FPTFvvUuKd+hqaY33LbNMLscj9Onn0MDUlmZlySIwWudr/Itbk5yvN96qsmsttDuH6VN2Zl2FU+S6o/CIAtLO7H71LI3MRWwTAkQkqE46xfJ9sdZ6ZyAq2Xo+MY4EmidoOwMHF0j+WhORazt3GUjUqnvlZt9Uwbs59lvH6Ukf4BFLk1u1VXXPZNdzi+o8a4sozS7VDrR3hndYyrhZHNiQ6ATKf9pqxsFqEIdo11OGVcZXfxTZT2u6RdCIG3cyfO6dPIqanAJhAQ8D4QCNiAgIA/NUzH5HblNtdK195TtfXQwCGODx1nIOpXyGzX5k71Dq89vMZbdxYplZXthavjEOnVecHrcTJm0lF6PFBq2Hh4ElY7SeZbWcxICplIrgfXK6gYTgy9XWFAuc1YvI7lqTyuZyh34+un94VrEhmNka7FeaHn8bFshdt9hc/XFQp6ZSMOSlORsRjCdsh4FabTVZKGieWq3KsOrE3bAiWcIBrbSbwWIlb0OJnu8AOjJUY0FW1tGx5dxzlzht7JY/za7f9I1+6ClCizsxxasvm/efuYa2T45J1DvjhTVdyZGcToEJ7niyoPhyXlPAvK69tWXceiU7w8/RfYN5NgetqjL9v8t9e+wps336ZWtJG9PngbN13zDKaqxxht7kGg0HGhkL7NfPYWMmyjCImwnU3NTXEzx0z5JEpjCiEk0rJJeg0UReBENJZzD1lM38RWn/ywkSRDfrW1Y+p4VpyJ9nFG2vs2DXF4wlCiw7EDPQ6OlInWVvAcj4e1HJdWx3hYHdgcgaVpyKEhP7s1HCYelxwdLXDCfJPcwvV1G8Z2yHgc9+hR3KNHIZV67nEBAQH/4wQCNiAg4NtOpVfh0uolbpRufNNq62RykqODR9mb3Yuu+luwq51VrhavcmHuFvcfWZTLyvZPdmzyHY8PeE3GE2UeazVaaxmvEih0Esy1c/TDGb8aqShIwCCOcDxkd4kxFhiP13GlYL6RYfWp4QJSVSGZIBHeQ7aQYbe1xNTwDR6IGu80I7SeshVITYV4HByHqFlnR7pCNtIFoNiJs1SaJNodIantJJY/TrwRQl1YImc0+aFdd5hKbZ4m5h4+jPOhD0EyyWuLr/HqwqvgOKh37yJqNX7c3cd+6Qt9x1O4wUHeSv8AVTPOyZMOb7yh0RTz3Fc+R09UEApEI5JoVBKNQjYZ4hMHPsqZiSM4juDO5QZ/9OpXOb96HtvsbrnVAsFIYy9TtaMIJ+JHYmXnmB+8hau1wbYRzwT3R+wEQ8XTZFozeK4kZjfRhAuahhfRWUneZyFzA0v1I6gM1SGq9pGWQ9OOoMoo423fW6vJzWNeNcVj/1SLE3uajCkrKK3mWgTWGO+sjm2NwIrH/WprPg+KwtiQzenMPQ423kRf+SbZrWNjflPW/v3PndoVEBDwrSUQsAEBAd8WHM/hXvUeV4tXedx4/K7HxvQYRwaPcCR/hGzE71jvO/11b+zD4ioLC+K5FVfVhulmjBPqI/TkAsvKxnavBErdGHPtPN1Izk8HEAJNhlHRsb0WarvGmFhiPF5DAAvNNEutJN5afJJUVRLR3SSiB1ErDaLeZRL5m6iqzWw9+0x1VoVEAjwXo9tgMlFlJN4kT4RBO8vDxydoFvcSiozgTU2B66LMzqLbPT4wMcuLY3Obp2LNzOB85CN+I5GUvL3yNl+d+yqi20W5dQvR75OSIf62e9Kv1Koqzksv4b7wAlJRaTah0enzR3deYbb/Dpou0TRJKLSx070jvYPvG/p+Spct7r3d4PzsXe7rb2Bq2zfSpXsj7CidJmankbrCcr7GUuZt+l4FYW1tbNKcCPniSYYau9Asm6jo+RePRPAUyWryAQvp65haFyEkSaOP4li0LR3b09GUKGPNA4w19qN5m4VrLtbj2IEeR0aLxOorSMdlvpnhwvI496qDeE9PNlOUjaasZJJQCA5O1DnhXWR86QKY7/LjyjD87NYTJ4Ls1oCAPwUCARsQEPC+UuwUuVa6xo3SDXrOu4S543tbn1RbNUVDSslcc46rxavcq96j2XaZnxeUK9sL14Q5wEjLZKd+Ays5hys2tnslUO1FedQZpBPO4cViCBRUQrjCBNdFbTcYY5nxeBVNkSy3E8w3MjieX1WLuDmSif2QzNBp30O6N9mRKJEM9VlqpZhvpDeJXJJJf0u/1WBvpMf3JWCPkmRSJqk283zyzmGaes4XrpHI+lSs8USdH95zk2xk437JgQGcj30Mb2YG8H8QfH7281wvXfcrr++8gzBNQmj8FecQw8SRyST2T/zEpmisq8WrfGPhG77d4Bn0lsvOpf141yaYnxWUtRVmc5dphyrbvl9hK8nO6jGG5TTd6AD16CJzkdfpuktb3h8JeE6YifoBBov7STh9BNKPJDMMPFwKiVkWMtfpa20iukVMNbFNj4YVAVVFJcxYYz/jjQObhKumeOybanNsX4dJbQWlVqXvaNwo+RFYpad+UICfCCBHRvAGB0HTGB50OZV/xKHmm4QXvklTVi7nZ7cePBhktwYE/CkSCNiAgIBvOa7ncqd6h0url76ptzVuxDkyeISj+aOkw2kAOnaH66XrXClcodav0esJ5ue3r7jqRMn0xsh0V8iE3yQUq2xKApVAvR/hUXeIZiiPjIZQCeMJB4n0I5taDUZZYSJRxVBdSt0Yj+pZTEcnbMeJegOQG6Cd6mN2l4j0KkzHS+QjHSq9KLP1HH3Htzc8sRUIoZMuRjgiVX5yuMuukIJA4EnB6wvTvFI6gDM5jcxmURYXURYX0YTLhycfcHZsAUWsvdBw2K+gnjy5vj3dttp88t4n1++tcu8eSrGIjsJfdg8xIZN4o6PYP/7jvm0BKHQKfOHRFza9H6Lbxa60qC6bxB5PEZ89h+pG6Oh1HuUuU41uv3Uekhq77dNktQ/iEqFh32NefJWmUdhyrOMJFKkyXNvPVHEHkSdb/eGwn4+LRyHuC1fTaJAK9VEck5YVxvI00DQUqfnCtX4A3dsQjblYj6P7exyZqBBvrCBNi/lmhiuFUe6UB7G9p7bzhcDL5fxqazqNpsH+qRantCtMLL6F0mnzbng7duCePu3/gAiasgIC/tQJBGxAQMC3jEqvwtXiVW6UbnzT3Nbx5Dgnhk6wL7sPVVGRUvK48ZgrxSvcr93H9Vz6/TXhWlKeySMVJOUE4X6IcP8eyfBFcpEOz8qKphniUW+YspFFjSQRQsHFQUH1t+pbDYblKpMJPwGgboaZreUwe0miVhpUjc6gxEoo0O0SaleZipUYjrUwXY0H1YH1FAKpKoRi42TFXrILIfabkpenHzGVqq+vp+9o/N6jMzyKH8YbHvanYj14gLAsxhN1PrHnFrk1XyyKgnvihD8VK7qRdPC48ZjPPvwsLdO3RYhKBfX2bXQU/qK7nx0yg3vgAM4P/RDoOl27y6uzX+Hq3Hm8bgfR7dGpmtTKHpV2CKc9wO7Si6T7I5hqh7nsVQqJh8hnfimoiosRCTGsnmOg/2FCTZt28w5zibeoRTYH90vA8wSKEAyUZ9hV20/IjkAotJ6SIPEoxh8xn7mGFi8RFiamKWiuVVtRFBSpMtLcw0T9EIbre1YN1WHfVIejezuM6wXUaoW+o3GtOMKllXEqa01w62sJhfxJWUNDYBjksh7Hh5c43n2D2Nydd5+UFYvhHjmCd/RokN0aEPAdRiBgAwIC/ofwpMeD2gMurV76pt7WiBbhUP4QR/JHGIz58UpNs8m10jWuFa/RMP280n4fFhYUisXNwtWQSRJyFNlv4znvMK49IhftbhGubdvgUW+QojaAEk3iYaOyFpHkuYhmk0Fvlalklahm07V15mp5Os0hhFToh/s4mTAyFodeD71VYyJSYizRWPPEplhoZvCkIGEPko2dIBM5Tny+R6y5yp+besCxoeVNhbqmTPBfWj9CITbji+dHj1BKJQDOjs7xfTMP1quu3vg4zssv+w1Faziew9fnv86FlQubXqt68ya5ap+/6O4nz4bQdXNZLpqzvGLfp+eYNMwIlV6USi+K6egoUmWydoTxxgE84bKQvsFS6vZ6WgKAEQY9buCGYsR6h5guHSFasOm6K8xlr1KObURuScCTAkV4uK5gpDnOVPkQUZkFTXvqOI9i/DGFgctosQLCtqlbMWyprlWYBUIqjLR2M1E7TMj1X9NwssPxwyYHxmpEyktgWSy3ElxeHedmaXhztRV/TKs3MoLMZFAU2DPd53TiNjNLb6CUS9t/QNcImrICAr7zCQRsQEDAn4i21eZ66TrvFN5ZF57P49ncVk96PKo/4p3COzyoP0CuqVTThMVFhdWCglyzrwpU0t40KmG61hyKdY9pbXFb4dp1VB70B6io47gRAxUD8eQoz0M0mwy4BaaSFeK6he2qFKqjLLdSWKqJqwGppC9czT5Ko86oUWYyWcNQPaq9CI+qQ4Rak+T6U6RTp9AHdqAsL6MVVjgxtMCHJmeJ6k/FUSkK85Pn+G/LH6RtGigrKyhzc+C6RHWLH959k11Z32Mq43Gcj34U7+DBTdvUtX6NT9//NCvtrSNKd841+IlHUSJshOTPiQaf9ua4Z3nUelGq/QjuUwJvoDPJjsppDDfMcvIu85lrfraqohBOaoTTIRwjRrsrSNTT7Fg4QKoWo6c1mctepRh/zBMvhysFqvDwpEB4LrnuGNPlI8S9oU2vQeJRSszSGTlPX63SszTadsjP2l07TiAYau1ksnaUsBNDV1z2T7c5vr/DqF5CLZcwHZXrpRGuFEY3DXqAtYEDg4P+wIFwmGTSj8A6br9Ndv462FtjwtYxDNyDB/1JWUFTVkDAdzyBgA0ICHjPPBGeV4tXuV+7jyefn4kZ1sIcHDjIyeGT5CI5wB82cLV0leul6+tb4LC9cA3LNFHyuFg0zftE+2WmjCXy0W2sAq5k3hqkIEYQ4SQKT2WBeh6i1SJjF5lOlokbfQxPZ7WZ414riiOF71t9IlxtC1Gvk1cqzKSrRDQH4Rp0Vg7RXTlKpjeGGJ7EGxtDKZdRFhaYjhX58zvuMhjbbJtw9+9nef9H+c+fGcRum6j37iEavtgfT9T5if3XiBu+cHTPnME5d87fZn/qfr+98javLb6G7W4WX0IIzoyc4SODLxD63B/i3nnItbbOp5QKN80yHWtzdz74sVU7KqfIdscoJGaZy12nH7OJpTVCqTBeKEy77uI0ekSaOjtWDpDrTGJqHeYz19atBRLWqsUS1/FdAalunun6KVLmZvHn4eIM3KSSv0TNa1IzY7iooGwI6ifCdaJ2mIiTYCzT5shRlwPDVSKlRTBNCp04l1fHuP7seFdAZjJ4w8O+n1gV7N1pcix6l52F82iry1vuw6bnDg3hHj+Oe+DApnsfEBDwnU0gYAMCAr4pHbvDlcIVrhSv0DSb73rseHKc44PH13NbPekxW5/lcuEys/XZ9WorgGWtCddVBc8DBY2kN4EiNFpiBdssE+1WmDL+/+z9d3Cl25nei/3WF3bOCRmNRqMDGugcT5Pn8JAc5glKM5qR5PHVVVmyLEtVLlu2y1d1r+1rS+W61nXNXP8hWZRGM3c0NZETOMPhMPOQJ3TOEZ2QgZ1z+NLyHx8aaDTCoSSOeHj4/apQzbOx9t7fXhsAn/2u533eZXLh5ibhauPQcBxWrAGW5ACKP7X5QqSDaDSJGQXGInli/g5+NJY7AZ6tNV1tEq62hajWiNtlxhMlcn6b/U4KpXCY+0/OYRhBnL4+nJERN7Lq2TNCVo2fGpvhaG55k13AGRrC+sQnaKWG+ff/3kfj4SrKs2ewloN6IJXnrx68g646yP5+zM9+FjkwsOny8608f/bkz1hprWzZ47g/zhf2/TSB7h6eP1d4+LTHuzNfY6HxHWQoCLXapsxVVeqMtM8waJ+iEi8yl7yC3lcjENOxbEG1ZGNWO67Pt+1aC/rrE5hql7nkHVaiMzjCQREOqpBYtnCrpo4kamQYq5wk0RnYqHYDmt5F77/O48BtlqWkberrFoEXCAS5xj5GK0dIEGBqX5vjB1v0a0WUfJ6O6SYJ3MxvU23VdWRf33q1NRqVnBgrcdK+TOLJjd0jsBQF58ABrFOnkCMjXlOWh8ePIZ6A9fDw2BYpJXP1OW4WbvKg9ADbsXdcqykahzOHOdV/iv5wP7C9t/UFpukK1+VlV7gGZZqATGGJNg2xCL0uwXaZPb4l+l4SrhJJExMhFRZlloKzH0sLbb4YKRHNJqFugZHICn2BHpZw6BpBnlQy1HsBd3JWLI6MRNwKba1GsFfhcLTJ60E/h8kQ6+T485lpntdS2Jk03bEEbQp0l2/TNRbJZZ6zP53nvMhxRGYRCGQigfWxj+FMTuJIwW//msXCN5+uV10Bzg/N8omxxygBH9Ybb2CfPLne2ASu1/Xi0kXeXnx7055LCa2WIGEdYrT9M6wsBGm2bVbENebV72HyUkSZYbg6UVHIyaPs4VOIUJFm9tu09QUMA8p5m16lA+0OotdDdXRGqlMM1SaxFYv5xB2WY49AMdEUB8sWbuUUiZAQMpOMlY+Tbo+sC1dFSEYTecqRe1z1P2XFEkihgNg8aGJDuE4zmRQcOWpxKFfGv7KANEzmG3GuLo/wsJTDcjbfV8bjrrc1nUYogr2jJqfiMxwsvI22vHvihYzFsI8exT561JuU5eHxY44nYD08PDZh2AZ3Cne4unqVYru469pMKMOx7DGms9OE9BCOdHhSecKN/A2eVJ9sqrYCWNaGcJW2TtQZBAEtsYpFF3pdAq0ye3zL9IUbKGvKtYdFFxsJNMQQC/Y4PeUV4YqEZgu9s8R4uEIy2MAnVGxH5Xk1xXIzujZUIIaMutFSol4nVOvx8aDGzyZgTMRAwtvFBH+8nKScsKkPSJr+MnZ9FdFoENZ7HEgViPo2Avon1Byfee1/Sejs6+tNP4+/u8KX/j8riJd8l6cH5vnsvoc4Y2OYX/iCmxP7Ek+rT/n6869T7pTpdqHZFDQa7le3GWSP+VPk5DEAiuI+s8q36Irqtu9NjGHOZz7ByIhkxv4OT8uzlFZMuqUudNoIw70uIRUG6wcZqUyDgPnEHVZjD1H1Ho4UGI7uylPHASEImjH2VI6RbY6tC9dsqMloPM9D5Snf0/I0RG+TReAFL6wCk+2DnD/k59iBFsnOMqJYpGepbm7ryjD5VnTzO7tWbZX9/evjXY9P1Dghr5F6fBXR2j3xwhkfxz592o3AUnaY2ubh4fFjhSdgPTw8ACh3ylxbvcat/K1dx7vqqs5kepJjuWMMRYYQQtA0mtzIuxaDl72tL7BtWFxUWFxS8JtZ/DJOTzRoi7Xc0F6PQLvMqL5E/5pwdZDU6aGsiSRDH+WZvYeW86pwBatdRm+VGA2WGQw38QsVR8JSM85sLYGNhozGkLEoCIFet8gtx3jTp/HX++tUfRXmRI0Zq8O3y0GWCSITCQj4odlC1Kqojs1ovMJwtLourBHg5PpwxsYIBKN8auxTTCUPoX3/+9z74+f8yaOp9WuM+Hr84wuXkJ/4mFt1FQIpodOBxUKbrz7+BncL92m1BI0GmObGsXbGOcy48xl8hKmLeZ4p36Qhtma0+v2SoXScz+x/k8F4ij+7/31uPb1Lp7xWad3UxCToa4yzp3IMxVFZTt2mlLyHJWx6+NyBDI7NehytFWG0fJS+5jgChYBmcjCVR3UavKdUueabxfB1YYtD2RXJA819vOHby2tHA0xkKuiL88iewXwjzs3VIe4Xc1u9rfG4621NpxGqwt5Rk+OxJ0zWL6HPPfuBIrDs48chkdhxnYeHx48nnoD18PgJ5sV41xv5G8zWZnddmwgkONV3iqO5owS0wHpD1438DR5XHm/b0OU4sLSksLyo4+8NIlBoKsvYrFUvjR7+Vpk9+vKacJU0MTDXqq0x/HQCOZ4441SNzcLVwcLslvA1Gwz5y+yLdFDX1Fa1G2CmkqFj+5HRKDIaQ1OCpKuD5J6HOaq22Td+lWJwkadKlS4WhXaYR40BzGjKzV01DUS5jOgZJAId9qcKBDVr/fllIoGzdy8y/FLuqGnyUzM2H80HqPX8/E+XX9+03p6YQI8G8PslpikwLJsF5wrz6ltYbP3QoBNk3P4cWXmYNgWeq9+mLB6tf1/TIB6XxOOSbFrjePI17OV9fOv6t3hWv+1WWu2t1o90e5ix0gkCjp9a3xXmI49pCh1Lqq6lwtl4L/1WmNHKEfoa+9CFYCJZJBuoUjL8fNus8jz+AEPb/gOPIlUOmqN8YewQ58YlseoColxe97ZeXRneNHYX1pIE+vrcr0CAREJydLzGMfsHrLaOjWEfP45z4IAXgeXh8SHGE7AeHj+BVLtVrq1e43bh9rYjRV+gCIUDqQMczx1nLD6GEIK22eZW4RbXV69T7Va3vZ+UsLKiUJxLI3tRTNGiI14aR2oY+FtlRrQlBiINpLCpiR5Cgg+VCD46kTTP2Eu+FVmfviWR9KihGAaiUWNM6TAWr6IrruDq2SpPq2kK7QgyEkXEUiSVg2Qao/hnCzj6PfqGb+BEVtdj+m0peNrsY0kMIyNh10NbqyEaDRQkexMlBqN1Aqj0yTCpYJrEmTeJ7Z/m0splFupuJVR0uyh37hDvSP6JfQaAf3vjLMvNGM7oKM7o6KY9qognPFX+go4ob7ODggHnJKPOmziYzClvsarcxOdziEYhFnNFazgsaTVV4tVp5J0RZsqXyCu3kDukQyQ6/eyrHGPEJ5mNP+BhbJmWLdxKq7VZ6PrsoNvM1ZhgONxkb7yEbcO9epp76hzzqfuYanfb59ERnI+M8dcn9nEg0kObfY60bJ7XUtxYHdze25pKudXWZBKhCPbvsziVfspE/j3U57tXW/H73WrryZPIVGrndR4eHh8aPAHr4fETgpSSt5dm+O8vv8ty4wkRHd4Y8BP3bfUEhvUwx/qOcSJ3gpg/hpSSpeYS11evc790H8uxtnkGV2OUCzqVuWE6bUFDWcbhpWNr00RvVhhVFxmI1miKLs6alEwQQEFgRpPMauMs1aI4jitaTZpu1dY0CVQdBpQKe+KV9YqoI2GhkWCunsQORolHj5JSD6P0bGrlKzSdewwm8gxF6xsjWoGGHeS+uZ+2P+E2GrVbiEoVzRTsUYJ8OtvgoE+nX0ZIaRHsc+exz58Hnw9HOnzt2de4vnodUauhPHiAME32ySS/ZLvWgav1/fyp8wXXjgAEg5JKp8Yz9RuUxINt9zAi+9lnf56onqSVeptS8BKhiEk0KvH73T2uVaG02EOdHSY1N05Z3GM5OoMU2wvXWC/Nud4+0kS5lVrlvvYcx+mt+2BfxmcHGalMc6A3ylS6iF8YzLWyPKkGWEo8ZDH+AFPdvuKaDDq8Obifv9HfT6ZQQDSb1Ht+bqwOcXN1gFovuPnnZa3a6vT3g99PJCI5uq/OKa6SenIN0Xyf8a4DAzjHjmFPTYFva2yYh4fHhxdPwHp4fMjpWl1u5W/xjdlL/P/uLVM1Nn7lEz7BL06E1kXsUHSIE30nmExPoikaXavL3eJdbqzeIN/O7/o8Ri3BwrMElUZ7a1XRNNGaVUaUJTLRIq21yl1U+tYD+J1ojMXgPuYqMUxTYNGjJ2oIqaBZKv6qTdIpsTdR2tRAVev5mSlnUThAPH4KxR+hwRzVxnVoVOkLN9gbL+FTXxJ3QrAS3MOj1giOUNEsnfRSiEQhTMJI89ODec4PLq6nKzkHD2J+4hPrXsp6r86fPP4T5uvziFYL9dZNsB2i+Phl6yhJAjh79mD83F/h6v0o9+8rLBcM2pnvcWX1CpKNaqeiQsAviYZ8nMl+lFODRyn4rvKw/R49290n24bKqkl5vkMlbxEsxxgpH6IeKLAce7RpetbGS5QMKz6O9ybRfZNcdJ6z7LuDY7bWK9ov47ODjDcO8Qk9xkCoQ6GX4H4+Q9O21oTrfXfYwav30yyGciqfHh7n00qS6Pwq0pE8q6a4sjzM40oWR77kixVio9qaSKCobrX1eGaO/fl30Z4+fv9q65Ej2MeOIXO5ndd5eHh8qPEErIfHh5Riu8jV1avcLtzGtE2+PNvhXmVr5fRIKsx/e/Ysx/uOkw25o0tXWitcXbnK/dL9LQH6L6MpGnq3n4cPVRZqqzi88viWidqoMiiWiMRWUFQbRQqSa9VWACcapZQY52kxQbsjaVMCIRFSIWjHUWoNwkaZ8XiJZLCz3iJk2Ar58gjN9glEdohmsEaDBWg1EbUqEbXDRLJI3L+5WugkUzzT9lPOj5F09pFZiRF/2kPYkkSgw187eIvBqNuIJmMxrE9/Gmf//vX7z9Xn+KNHf0TLbIFlod64geh2CaPzy9ZR0gSxp6exPv95UFUc6XArf4vvzH2XRreNtRb8/+JLVQTH+o5xYfACj6uPeWfxHZpGk17bpjLXorJsUC3aSNMmaMYYqk7S0essx7cKV0VI4oEOKS3GuPYmreJBnnOFFfXa5kr4S/jtIK/Zw7yhxTGVKPeLfZRrOj2tw2L8Psuxh9jK5vdVCEk6bjI0oPOp1BAfWdUJt03KnSC38wPcym9TbQ0E3GprXx/4fK63dazKca6TfHId0dja/LfpfRsYcL2thw971VYPDw9PwHp4fJiwHZtHlUfcWL3B89rzTd/7rcdt5psvCR6RBu0YHxk8zJ99fhDTNrlfus+N/A0WG7vnaYb1MIqR5M4Dk/lSaesCy0KpV0krc8Rjq/hUh5j0E3hpQpaMRGhk9/KknCBfa2HQQAiFgEyiOT5EvY6/XWEsXqYv3FgXrj6pQnUPd5sHqWZ0WsG1wQrdLqJSQXe67I2X6Y80NvXDh6IpBg9/nMfPL9Be3Ie/raA8erR+TH28b5FP7X2EX7NBVbHOncO+cAF0fX1v31t6j+8vfH+9YU158AClWCSMzt+xjpAlhPXRj2J/9KNI4FntGd+Z+w6rrdVt93EgMsCnxj5FqVPi7cffZHFuifKKQSXv0HxJz/nsIIPVQxhql9XYzCZBqSoOyUAbf0RH8w8SKb1JsJBm2Xmb5ciDbauzADlN8AmR46DYx5PyIHN5t0muqzWZT9xlNfp4y32jQZPcoMJQCi70EpwvBvA5fh6WslxbGWa2ltz8JIqCk8m4DVnxOJoGB/e7SQLjK++hzj7f9to2XrgPe3LSHe/6yqAHDw+Pn2y091/i4eHxQafarXIjf4Nb+VtuZXAboroAFFAnQJ0CMQBCkPH3+Nbst7iZv0nX2r4pB9zRpZlAhm5X5fqdKiuFrROisC2oVQipT+mPVwhpDmkZRLx0hCzDYXoDe3jciPH8eQUpV9BFiIgcRDggmg3URoGRcJnhgSqqkCgI+mQYxwhxuTXE05APkh2g407QqlQR7TZ94QbjydJ6U1dSBjgYGGHiws8Sn3yT3/8DP9aiQmBpCeX5c3AcVOHw+Yn7HOtbBtamaH3hC8h0ev2al5pLfOXJVyi0Cxv70emgFIvsk0l+2p4gih/7+HHs119npbXCt2a/tWOyQ1QJ8ob/EHKhzL//1v/Is2KNckPHfCVGSnN89Nf34wib+eTtdeGqqTbpcI9A0k/PF6VVGyW+fITUSpjFyB3ux2a2Fa4h3WBPwOKcOk6gcpqZxRRLa66All5lIXGXfPTp2rBYF121yfVJ+vokadXmtYLO6cUctVaC760McrswQNfSNz2PjERci0A2C6pKNis5MVHhqHmV8IMb7+ttlX19WCdPetVWDw+PHfEqsB4eP6ZIKZlvzHN15SoPyw+3DA14mag/ylD0KP/X68PMttY6gZw5sr67/I09BWK+nUdphn1hEv4E1VaHWzNVVlaUrRZF28ZqrBJgjqFIjUFNxf/K52MZCmEMDfOgrbKwYiBtlSBZ1DUPLK0WSq1KX6DKWLyMX7WJSh8hdHrS4ZYZZVbuwQ6sxVZJB1GvI+oNQlqPiVSRhL9Lv4xwUKY4oORInf0Ezmuv0bZ8/PZv+8g/76LMzCDqbtU2rPf4+cmbDMfq4PdvmYzlSId3Ft/h7YW3t8SEiU6HNy/necMZXQ/0L/7tv8F3W3e4U7zjvh+Og+j13Opwt4veMZgsDtJaiPMtVlhwuki5de8VqdJfn0AC+egTbMUioFuk0pJgKkhbi1IqK8iSwujSBMlmjsX4fVaij7c0cvlUi2yoSV9QY7Rzit7saVoVZX18asNfZD5xh2J4nhfmWCEkqbhFblAlGekRr7Y4204x1RtmpjDM7fwAS81XJlmpKk426w4biETWq62nYo/Ys3rFrbbu5m3VdeyDB7GPH0cOD3vjXT08PHbFE7AeHj9mGLbB7cJtrq1ee99JWUPRIU73n+Zg6iCqonK/XOH/8u4lZmu3CCiNHVMIADLBDD7Vx2qzzNNZg8UlhVenyUrHpNOaI2wV2RNpsEdX18Xc+ppgkOZQjqcWLC0rKL0kPqIb67pdRLVCUqkzniyR1G3i0o+NQ1V0aYoQD+wDNJQ46yH5nTaiXEF1TMbiVS5EYFKmOCDTxPG7HtSPfQxiMWwb/uff0Fm5WUB98sQNpwUGIzV+4fBNIj7DbdL61KcgujEB6nntOd94/o1NVdcXhPQQnx//HFO/921EuUwbk7eVea4qK1hsFpA9W6XSDRKt7scqTfA0OEvDv/37JqRCpjmKKnUKkWeE4iapnEogE6JJhNKSQafcw9+EkfIk8XY/i4kH5KNPNlVNNdUmG2yRjJpoIklo+Szas0MoL0VX1f15ZpO3qISW1m+LhkxyQxqZlI2vUyde7fCaPUy6tp87K6PcK/Zvjb9KJHD6+tyKtaIwNORwdLzGVOcq4fvX3z+3dWgI++hRnMlJ8Pt3Xevh4eHxAk/Aenj8mFDtVrm6cpVbhVu7HvUHtABTmSmO546TC+eQUrLQWODa6jUelh9iv6pCX7lvOpDGcAxWmwWWlxXmFwSWuVmUmrJJr71EyKgxGezRH7C2zF+y/D5W+6PU/WEKKwGseh8KLwXLmwaiWiVkNRiLF9kTtNBRaAoDG4lUNeb8+5jt9LlToQAsE1GpIDpd9oowP5+2OO+LEsE9ZnYGBrA+9Snk0ND607zzXYfv/docSmFDiI7GKvzNwzfwhzXMT38aZ2pqveLXNJp8c/ab3Cve23aPjmSP8Ik9n3BH5771ba6++3u8qyzQW0sWsByFajdAtRek0g3ir+8h1RqmGHlOPbBVDIM7YjXVHsUfDGENzxEbEPjTYWoNldJ8h3aph+h28JkBhqtTxDpZlhIPyEee86JqqioO6WCLdLSH4wvQrGcIPz9OrrIPRbr7LpHUAqvMJW9TDbqWCZ9mk+uHbJ8grHQQ5RJpQ+dIdxxn5Th380OUO5uHSEi/H5nLuQ1ZgQDBoGT6UI8TwQf0L1xDmZvb9nWu4/NhT0+71da+vt3Xenh4eGyDJ2A9PD7ASCmZrc9ybeUajyqPdrUJ5EI5Tg2c4nD6MD7Vh2Eb3Cvd4/rKdVZa2/hVXyLhTxDWwzxrlPnqbJlyUYGyzrBfJ6C6wk7i0KGI064T6rQ4HOzRF2pvEq4SScMnKOYi2LEkS4MGCQAAj19JREFUnXKOymp088mxbbujWdt19sYqjEVaGIq98TiKoJkY5kFnD83Omg1BOohag3jBz1BniJ/PGHwkW1k/ZZaRCNbrr+McO7bp6Hnl2gq/+f9cRXY34p/G4mV+4fBNtANjmJ/5DMTdo/CNtIDv0LE6W/YorIf53Pjn2J/aj+3Y3Crc4vuPv0n93beptzTqRoCqHaXZUgBByEiQae6hFlyhFtzaxCV1HXw+RsL7GByN0M0tIHSb0qrtitaygeh2QUp8dpDh6hSRXorF+H1K4fm1rZIkg20y0S5aJECxGaSZjzNQOEx/Y2KTcC2HFphL3qbhL6IISSrlkBvWSAa7KOUSotsla0fpLx+junCC+Vp68wUrCk46vd6QhRCMjTkcH1xhsn4J/6N7YGyN2dr0mvv7sU6c8KqtHh4e/9l4AtbD4wNI22xzp3CH6/nrlDvbTWpyeTEp60TfCfbE9iCEoNKtuJXa/C169vaB8wCqUEkG3a7xcqdMuWvxWzd7NFY0MNyKp18VHEpZSLUCnTbxJuwLNBiI1FFeUq4mNnndpJtNEsgN4TT7mJvVMF+u3EoHUW9Ao8posM1QooCu2pssB04my1JonKeLwXW7QrSVoO9ZlGxlgGOJBp/b94Cwby0SSlGwz57FunBhiyBSr1/nt/7fJeaqG17NgGbyD89dxveFN3GOHl0Xu08qT/jW3Ld2tGRMZ6f5+OjH8YkQ33t0j288fpvlSpVGQ9BtWIhmA3o90H0EGoJEZ5iOr0YtkHfHmWqqO/dV01H8GvGszqGhUYb6fMzWn7Oy0NkQrb2N90y3A4xUpwgZCRbj96mElhDCjfvKxbsEk35KrSCFooqoRRmpTJNr7l2vdEsciuE55pK3afkqxKMWuREf6ZSN3qgiqhWQEO9miS6fpbB4jJ61uWlKRqNu/FUmA5pGPC45NtXjqHqH1OOrKMvLO/6MuT9ErqXDPnbMq7Z6eHj80PAErIfHB4hiu8jllcvcKdzZcdoVuB7ME30nONF3gqgvul6pvbx8mSfVJ7s3dPmiRH1Rar3aemJBoyH4o6sWS+v6TYJWBtEjJySHTI09wTJD0Rrq2iQriaRGj5JuIjJZMsOHcMwoT54oNBqb67J2q4ZWaZHUW+xJ5on7Nr82GYvRHR7n8WqcUkngl3GyvQMMPI0SzjsENJPPjD9kOruyMVxgdBTr0592O91fxrbRvv511OvX+ZVLH6VhBNa/9fHjRc78784gMxnAtWV84/k3mKnMbNknx4Gw089h/bNY5WFuLT/kWuV7tOT2IlcjQNLZR1fUaYj59duFgEhEkki4XwcHBui1/Nx+MEN+sUWnYiDMzRmtPjvIUPUwQTPKYuIe9eAqCX+HTLxHJBug2glQKCo0a5KQkWC0eoRscw+CteYzYbMaecJC4h5EKmQGNXL9gqDdRJSKCNPCsBW0+h4CC6/RK+3f9EFC6joym3WrreEwqgr7xm1O9C8yUb2K/uiBK9h3Yd3b6iUJeHh4/CXgCVgPjx8xjnR4VH7EtdVrO8YuvSAXynF64DRTmSk0RaNjddxK7ep1Sp1t8ljXeBGBpakahXZhXRx3u4LnzwXFosLtsknd7IBeBhx83SDppsWeQJE3hhvr0VQmNquiRVeRhHPDpEcncYSP2VmF5RVlfcqTROJ066jVFrpscCBeJxNqbbYcBIM4e/dSUdI8fxQn1j1MxpkkvihQZ+fAcTiYzvO5fQ+IrE3fktEo1ic/iXPo0NZO9W4X/fd+D2VhAYD/cOckz6opd58HB3HGxjh1RhKItnhqvcOdylUMy8a2wbJcTdbrCcyeTn/nYww4Z6mIJ8wrb9EU29swBCpxuQeLLk3hNkSFQhuCNR6XqCro7TSVxwaPFubpNLoIe+vY1xdWAd0KsJy8hxpbIJ00SfQHqHX8FAqCalmChEgvzWjlCOn2yLr4tITBSmyG1cxtYkMG2WGdqNZBKRQQnQ4SqHaDUDqAPv8akW7/yz8kyHQaJ5dDJpMgBENDDtMTbaasm0QfXENsl/n78vsZiWAfOYJz5MimGDIPDw+PHzaegPXw+BHRtbrczN/kysoV6r36jutUReVg6iDHc8cZjY0ihPiBJ2UFtSCJQIKe1aPc3bAimCbMz7uC03EkPao8blWp9VT0ToxUu0VaKZIMlhgI2xyIa9TpURQdFKGQ6RsnODoBuk4+L3j2TFm3C5h0UCwJtQq+tslorMZwrLpeuYW1Ct/oKMrgCKI0SfHOSWLOHpT2WsxVo4Gu2Hxm30OO5ZZcnSoE9pkzWK+/vn1Fr9NB/53f2XSk/Y1n+3lvZRx7/35kJoODxZJyiXnlbWy2qyAKcs4RRp2P0RZ55pS3aIqdjsgFUTmEo/RQInmiUUk06gpWnw+kA9XVHuacn9K8TcXIs+0MV8BvhRiqHkaXOp3+q/j6yyQHA7RMH4UVSSnv4Dju/sa7OUYqR0h2BteFa09ts5q4R2/fDIk9gmTURC2XELUqSGibOvlWFJk/TLZ4koiR2ngvwmHXIpDLgaYRCkmmD1ucSD6jb/4aysyMO8t2J4TAGR/HPnECZ9++9QgyDw8Pj79MPAHr4fFfmHKnvJ4mYNg7N73E/XFO9J3gaO4oYT2M7djMVGa4vHKZhfrCrs+R8CcI+8KUu2U65kZDkuPA0pLCwoKCYVm0RAGkjS4i0A2xtFgmbhdJhor41B66KsmmDWzVIir8pLN7EaN7wO+n3RY8eaJQqwkcbCzaKI6CaLTQ613SgRbjyRJB7SW7gKLgDA4ycOgcB9IneXbxCM8fh8BxUObn3cqplAxGavzsgbtkQm33uoeGXLtAf/+rL9Wl08H327+NWNlcJX1sjfEfej+PngpRFPd5ZH6Lrqhu+xBROcy4/Wls0WNW+Q4Nsf00Mr8fhhNZwjEDgmUiEbmu2ayeTXWuRWmpS3cpjOxB21fb8X0KWBGGa4cYitZp7HuCNmLRNn0UlixKqw6WtVFhTnYGGK0cJd7d8JG29TqdiTsYBxZJZm189TJKqQS2jekoFNoRCs0YgdIkw9UpwmYCAKlpGxaBSAQhYHTU4cR4hUOtq/jv337f0a4vqq328eOQSOy61sPDw+OHjSdgPTz+C+BIh8eVx1xbvcaz6rNd1w7HhjnTf4YDqQMoQqFpNLm+ep0b+Rs0jZ0nGAkE6aB7bFvulrcE7xcKgufPFRq9Jl1RRaAQkllUW0XUakTNMkORIhWrTl0adHxdckGFYREhnBlE7tnjHvk7bvV2flFgOG0UVBwsfC0Q1RpB0WUiWSQV3NzJH+sb4/CZn2Z673msRorf+z2dWk0gmk2Uhw8RnQ4CyUdHnvH66DMUISEQwPz4x7ekC2xCSvTf+q0t0U3O8DC9v/bX+dKlVa6Uv8vtZ4VtC6A+oozaH8NHhHnl+zTExocDv18Sibge1nBYMpiO4dMldaO+/ty9YpPKQpvyqkWtAj4zAlLQ03d+r8JWhLPKCMMHFJZG5yn1ehQXehSWHXrG5gpmujXCSPUIsV5m/bbAUIneiRlaA4sEulVEPo/o9ZBArRdgpRml0kyQqx9guHoYvx12LQKplGsRSKVACNJpyZEpk2nfQ7ch6/nzHa8ZcD+AHDjgelv37vWqrR4eHj8yPAHr4fGXSMfqcGP1BtdWr+1qE9BVnenMNCf7TpIL5wBYaa1wZfkK90r3ds1uDekhor4obbNNw9haNavXBU+eQr5ZxBYmGgGCMo1wJKJRJ9CuMBYrkQrXKYgWDQwi+OiTYdRECmdsDBmJAFCtCh7OWDR7XQQKKn5UQyIqFVSjx0iswkis5opPQEfhUHw/h9/4BUYOnkMIwdOnCn/0Rzrdjo21+IBu4R5SOsTw8Qvjz5hM1hAInP373Zirl4YLbId6+TLaN76x6TZnZITZz7/Ot5e/z1x9Dimh1RJ0u67vt9sFrACToQskA0keG+9RdRbx+SSBAAQC4PNtVFYjvgi2Y7vxWs0WreUm5eUe5aKk1dWRSPxWCJAY2vYZvarisCcc4mNj0yQO+7lYvMfCswqFJZtOV31ltSDb3MNI9QgRw02KiMYhe7ZB7cBDCu27iGJxvUraMnXyrQj5dgSnF2GgfpCh2iF0J4CMRNzM1mwWdB2fDw4etDnat8ze8nXUB/cR7faueyxTKeyjR7GPHIG1nwUPDw+PHyWegPXw+Eug0C5wbfUatwu3d/WoRnwRTvWf4njuOCE9xNNal//zuzd4Vr2OzvIPNCmr2CmuWxHuVwy+Mt/DdkC1BVOOgmPUAUlQprHtIHMNE63VJNmtcTRdIRcvsao0kUjidpBKQ6PqC1MbHOXU/hxxn4JhSO49aVIsKwgJPmII20FUq4hWi2SwzUiswGq3i2HDkBPjr2QnOPmpn0c/enK9evrWpTq//+3n1HoPqJdvYNmuAIv6u0ym8wQ0C90fZOTIG3zmwt8l4t9dvIpCAd+v/7pr6l1jZTDOd85keVB7vO19FKFwPHec4dgwV1eustjY3iogkYSUAE69Rqdcprbao5y3KTd9mLa2vsZnB3CQ2OpWO4iu2aTSgoN7Bnnz5Gss55f51o3LrCz1aHW1LeuFVMg1xxmpThMyYwRCgv0n/ITONZiz3mJp/s569JXpKORbEVZbUZqGn4AZYai2lv+qh5C5nPsVcocQjI46HJloMmXeJHjvxvs2ZOHzYR86hH30qDfa1cPD4wOHJ2A9PH5ISCl5XHnMpeVLzNV3n0Q0FB3iRN8JJtOTaIpGw2jwtedX+advv0O5u3H0nPAJfnEitC5idUUnFUxhOdaW1IH7FYM/me2BLaHWgXYXHI39oX5yAT9d2+Hpcp1Qq0ZSL6DHlpD+DgcifvaIKI6tcKWpcC8+RCHsHjHHdIuPRKG8rCHMMCo+QCIaTUStik+Y7EuWiPqbzBQhXsuQ7fRxffQ8i0fP8Nufy6GyypPqE75z+wlX71cRjTqiWl0/zu+P1JlIFlEEOH19OOPjoKoczR3lC/u+sOs+6n/wByiPHgFQpM1bviVunx5F7hDbNJmeZCgyxN3SXZabW5uzRLeLU6vib/VoFFuUyw6VdpBaL4CUL8VM4aDbARxh4yibq+PBEKT6VFLDASb3H2C8leHa1RkuLT2m2lZhy8wyUKRKf30/w7UpwmqM/Ud9HHozSS9+nyv3v0Jh9TFY9nqKwEozSrETRkpB2EgyUpkm29mLTGc3DRqIxyVHj1gcjT0j/fQHaMhiLf7q+HE35cGLv/Lw8PiAsrUE4OHh8R+FaZvcKd7h0vKlXYcO6KrO4fRhTvSdYCAyALg2gUvLl7hfvM8fP29R7m7OR60akreWe/yt/Tni/jj1Xp3V1tapTgB/NtuGeg3qgBUFy/VMPjYhR4f6UoksebTMLFI10KwAwVYCx1HQs0G+q+V4O5bEFVgNMAX1VR+XrRQH42tCptt1R7maBoPROnvjFQ6IOLWFcUKrER72TfDFY9PU/RWofZVf/mqeL4yq5POCR/clolR2p0sBIBlPlhiK1t1q38SE681cY7cGt3VaLSp0eUuZ446Sx05ntxWvexN7GY2O8rD8kPul++A47nU0m4hWC9FqYTSaNBsBSt0AlW6InpXY8jgSieb4cISN9aLiqipEkyqpfp3kSJBQTGeoGUF7EOb62wv8rnNtbU+3/rnVHB8D9QMMt6Y5eCjB5N9KMrrf4NG9P+fbt75HrVdDAk3DR6EdJ9+KYKxVf6O9DKOVIyT1KeRADntt0ICmwf79NsdGiuyr30C7dRdR39m+AmtxZocPu6Ndc7n333cPDw+PHzGegPXw+E+k2q1yffU6N/M3tx09+oKIL8Lp/tMc7ztOUAtiOzZ3i3e3HF83zG0OQ0QcQ4bo2T0WGtsnD7TNNvOlCvayDe0cyA0Bp1smyU4VVSkQTM8ipUnUCKGb7rGypajMpgbZd2ofz5+2oFnHNYxGoRABR2D4hDv+tVpBtNqEfT3OZNt8zB/nqDNOFD//o6byxTN9LEcr4PwJrOnwuqFSLoeZudVDKZbdGATcEaiTmVXSwbZbdd27151UtYZP9XFh6MKu+1/ulLkYeM497SrOWjlXKRQQ3S4yHAZdp1+NM6KkmH12ke93vwK9HmqvhzBNHAkNw0+p56fWCVI3Ygi5/Z9ERzhojo4tLGzNQgn5SGU1koMBkgN+dNXGLlSIPFLoPIzydatGNfDCwrC14uqzgww3j3Bm8CjTn81x4GQA5dkNbtz5n/m12/fp4g4aKLRjrLSitIyNKWPJzgBDvTPEY8eQUzkcvx8hYGyPw9SBNpPyHqF711G+tr01Yh1Vxdm3D3t62o2/0rz/O/Dw8PjxwfuL5eHxH4GUkrn6HFdXrvKo8mjXiVejsVFO9p/kQPIAqqLSNtu8s/gOV1eubpsmENXXhI7UQEkAFsgqPtHCsINbrqPcLVNvdyms+OlVRhBtkxeXozg2iW6ZgLpAKJVnX1qhVgtR6roLHCFYiud4Hh9gPG1TMesElR5YMSgGoLXRVBTvNVGWm6gOvBEM8jcTYfaKMQzHZsbf5ObBAL9Vb7JcrcIr2fwhKZi5VEOU3dcrECS6Of5qroUS7fBg/xhOOrXpPj7Vxy8d/iX6wtuPHS22i7y9+Db3S/cRWhHllWgB0WiQrVv0ywiLosBVsdFU1TZ1Kt0g1W6KsqFhO6pbVZX6NjLTnWiligAyoOKL+Uj26SQH/cQTIEwDu1ChcrWN//kgrdIh7oYXaPpndvzLGrATHIud4lPnTnP4tSTxlRkqt/6Yd3/zMreUPD0pKXVC5FtpKt3QS7YFQbq3lxHtE4T7p9zsViCZlBw9YnIk/pzks5uo33kExu6Va5lOYx87hj09DeHwrms9PDw8Pqh4AtbD4wfAcizul+5zefnyjkf44DYIHc4c5uzA2XUBVmwXubJyhTvFO7s2dH1uNM1qV6HUqcPauNKET/DGwEb1zXIsCp0CpmXTKiWprPThOG6Nb39cY6ZiEDXy+NU5wpEGORyOh0Nk0UhFJC3DZDaU4mmyD0PrEfW1uNCXIhmIcCIoWVh26K7pH59l0NetMSHDnHQO8PcHugyFejwUJX5Xuc+TAT/G6Aj4JK9H/Cy2barGhpjMKiZ7HtWxyiHS7XHS7WHS3QE+dugSj/YusDgx4oaqvkTEF+EXJ3+RbOiV8bBr+/jO0jvcK95b/+Agk0kUATIaQ9TrJGWAnAyxJJrcVgq0TZ1aL0atF6DaDWDaGqbSWx8AoL1acVUE0ufH9ito/iCxjEIm5yeVkgQCEtHpYK0uUrjToVJQ0AuH0a0Qc5HndFO3tn1fpaowGB3kk1Ov81OvHydbfYZ69x0Wfv0G3xTzPBJlakaA1VaaYieM7Ww07SloZMVxBoOfIDiwD4RA98GBAzbH9pQZK11Du37nfTNb0XW3IevYMa8hy8PD40OB18Tl4bEL9V59PYO1be4cNRTUghzvO87JvpPE/DGklDypPuHKypX3zX3NBDPoqk6xXaTY7fHWco+mKYnoYj2FoGW2qHarAIhOjsXZAL3e5qaibnueSmseafXoxyaoSPbHNbIBt5oqEwmWc1neali0LUnCn+BjgyHCisKTJwqFgkLXlszVTQL1BkOFFMfNA/zCYJ3RoYfcVfLcUQq0wj6cffuQsdim11EznPVrHyPO35zp8Oj2OcJGAoGgozUITv4ZzqkuzvDwln3Yl9zHZ/Z+hrg/vun2peYS7y6+y6Pyo233T1SrxAxBYmaFp+0uq6ZCvReg3gtgORuVZEPtAhKBQLcDSFUFnw66D+nTwedDj9qkkgrJhEMqoaEIiWg0sPMVyosdCmWNRjtGtjGO4qjko88w1a2xWVJVCad8TI/t56cvfJyTgHrvHsrMI56Yq7yjLPDQbq+nCHQt/aUXBKovTr/+EQbCH8enxhECxscdpg/1OOjcJ3D3xpbc2+1w9uxxR7seOLDlw4KHh4fHjzOegPXw2IbV1iqXli9xr3hvy0CAl8mFcpwaOMVUegpd1elZPW4XbnNl5QqVbmXH++mKTl+4D8uxWGmtbLvmhU2ga3XxqT6CToZnzzRqtQ3hamPSMmax2gXStsbRiEnSv/kI2Q4GKQ+nkbEYmqIR828Iz1pN8OiRsi6GA02Ngdk0A+Ux+qNlxg6+xWxgjpLogKbijO7BGRjYtoKXDWWZykwxXQ+S+co3+dO7+7ixOoQtLOYTd6gO3mT64xFIbBaoYT3MZ8Y/w8HUwU23LzWX+P7C93lSebLt/nS7Arsdw2zGWCjnqbUspGWDaSIME6RECjBU94OHUHR0JQqaCqqbBqDr7ujXULxDKq4QCAg0xxXF5mqV0rJBqe6n1gugWUEyzVFsYVOKzGIrmxvupKYRSPjJjgQ4Nz3NZ6OjDD8voTx8iNNpcV+U+Lazwt0uFFphGkZg8/39PvyBfgaCb9KnnEHDTzYrmTpsMh2bJfn8FuqjR9DbbgTuS48Tjbq+1qNHNzXFeXh4eHyY8ASsh8caL2Kwrqxc4Xnt+Y7rhBAcSB7g9MBpRqIjCCGodqvr42G71vZB9uAOHUgFU7SM1rYCd75p8eXZFl2zhE91+NRwhn3RBHNzCkvLCoWOzUzNQooWurbEsGwzaIY5FO3SF27QsyWzTQvDBsevEjuQJdiXIeaP41M3d+fPzSnMzSsIqZAy9jL4LEVwwccDMYc68hb+7BPGoioBVeBks26j1Ssd/olAgkOpQxzOHCYXyqHevIn+1a+ClPzO/Wm+a9aYT9ymG7EZmE4yfmBzpu3hzGE+NfYpQnpo/T2Yrc9ycekiT6tPAbAsaLcF7faLfwVmKwJGhLYoItkaCyWR9KghkegE0XDFoqpCLCZJJCTxuIMa6CCEwNez0Kp1eqtVSis2xXaYes8PCAJmhFR7mJ7aohRZ4OVxXtLnI5jwkR4J0Dcc5Fx8kAvFILnHS4hmEwObyzLPl7s1nnZ0qt0ALzd1SV2DUJhIcJxB9Q0ycpJoRDA56XBkuMTAyg20O+8/1hVdx16bkCVHR70JWR4eHh96PAHr8ROPYRvcKdzh8srlXWOwAlqAI9kjnOw7SSqYWm/ourx8mcfVx7s2dKWCKYJqkFK3tKPAfVxt8KWneVceiQTgQzQ1jhEiLFTyXYuZZh6hloh0bRK1EAlfg7P9NfpD7vH/nbJJWVgsxlOsxLJEgyl+aSK8aRiCacLDhyrtapR+5xT9ywOos8+Z98/wIHiDUPwxvhcRUcEA02cmieQ2Knl+1c90dpqjuaP0hfoQa9VY5e5d9C9/GUc63BUF/uWqw5LlIKNRZDIBCMJhSSYjmcgNcL7vDfbE9qIo0O1KHhSecDn/LouNRXo9t8La6YJlbgg+TYZQ0OiJ+rZNVxKHLhV3wABRApqfaNStssZikmhUumuMNqJRJ1ht0yu0KFUUSu3NVdGwkSTWydH21agF16rkAqQ/QDDpJzMaINOvkhAGp9sJzi9ArOpWexvS4CvdBl/v1Vjs+jb5WqWqQjiMDIdIaIcYdi6QVvdw8IDD0UNd9rbuoN+9jbKwferEyzjDw+5Y10OHPIuAh4fHTxSegPX4iaVhNLi2co3rq9d3jcFKBVOcHTjLVGYKn+rDdmwelB9waenSjsf/AKqi0hdyG7lWWivbWhGklNR6NTpWhy89N2macRAK9BQo+KCroKsWh3Jl7lRqhNo+knWNiNomFSqgqwaKgPN9Pq42mzzS4izER7D0xPpzHE5q/MweN8WgVhOsPNxDqnOGZGeI6sI3yYtbVIMrSKWIohYQQiKFYC4xwGxygMm0n58bC7MvsY+p7BQTiQl0Vd/0OpR799D+5I+ZocS3lVkKos39Uo68fwRfOrJuUdAJs9f+JFl5BIFA4lASD1lQ3qYpdrBSINEJoUiVnmisN2C9jINFV1Tw+yAbjZOMa8RiklBIrrsdzGYNq1KAag2nKCm3QhQ7ITrm5qpyrJMjZMapBwq0fVVQFGTQFa3p4QCZPkFYtohVWpwr+jlZCxFER0q41VL4406dK3aV7suiVVEgFHKnYvkDpDnEsH2BwyP9TB0yOex/TPjpXdSZmU1Txbbdj0jEzWw9dgyZyey61sPDw+PDipdC4PEThZSSpeYSV1au8KD0YFd/63BsmHMD59if3I8Qgo7V4d3Fd7m6epVGb+cj3YAWIBvK0jE7LDWXtl3jSIdCp4Dt2ER8EQYiAxhOw42hKvugpoHSBn8eW3EIdNIMrsQIiA6p8BJBvYUAbGHTVg2KsRBP4yd4bm+NRWqaEl3VCVSP0rpxhjEZZLXydZ63/jVmqIuu2hxJ51lo16kZklogwqPsGG1/CJQcPt80/9tTrxHWt49csp8+5v6f/hsuKgsUxFqjmxCMnMkSU0PMzbnd9APOaUac19HwY2OSF7dYVN6jK7b3CkskKjpCqpiijRBik3hVVQiEuxCqEA0JhtJJgv4XTVsOGAaiWKNbzuPUqtTqgnYnQbmdXR8GsIEg1R5At0JUQ0vUYmUIBgmn06SHAmSyEKKNKMyTe9jhtUaCKZlFQ6HS9fOnVY2vmWVm1RfT0RQ30SC4JlqDARR0+p1jHE+f4cx0gsPZVRJzX0d99zaiuTVWbRM+H/aBAzjT0zh79ngWAQ8Pj594PAHr8ROBIx0elB5wefnyjqISNmKwzgycoT/cD7iB+VdWrnCrcGvXGKx0IE3YF6bcLTNfn992jWEb6yNgU8EUfnXj2Fdv6xgrKsg6BEvg+NA6Ofo6HUK+DrlAnoi/giIkPcXAViRdzc9q+iifODqKb7YDlc2NRYgo44nTHCi+yTu3SixZ36ZSfQ96HVAg5u8ymVnFr9qsmCoz8RGW4gOgHgD1CCg59qeD24rXntXj6tw73Pjyv6IlXhJgAuwDBwhkkwQRTMZO4F95nZW5OAZt5pS3WFYuY7J91dvBRpU+wMYRFopqEQ5AKOQQCkE4LEFvYSp1NFUjFUijCMUdtlAuI6pVRLVKtVmj2gtS7YRot0exX0okWL9UqZBuDaNKnVK6iBluE83G6B/QSKcdgk4bUZpDPCiyp6nymjPMhByhY/q4Vszw9ZbBFW2Blq8Ca1NiZTCIDIUhGAQh0PAz7j/Npw6f4sw+i/7CXdQ7dxCrO8exre+FZxHw8PDw2BbPQuDxoaZn9bhVuMWVlSvrMVTbEdSCnOg7wcn+k0R90XV/65WVK8xUZnb0twohGAgPoKs6S40lTGd7gdsyWzSMBopQSAfTqGJDTHU6gkczMFNe5UmzCnYUYaRItptEe20OpjpMZ8o0rC43G20QEil8LCb2shTL8rNjQSaTPmqGw28/blM1AGUU1GlGfCN8pl3kef0GndYsSrUCjgQkI7EqY4kKAjdPVTtwnn8zP8Fybx8It6lqb1Tljz6TZk90wzLQsTrczN/k0tJFOneuoxQKL20I2AcOQi7H4cxh3hh+g0QgQbVb5fvPr/Ct+7colC1s2x349eJLUUDVLQI+be1fhWAQAgG5SbdVe1U6Vgef4iOlxVAaDUS9jqjVEM0mbVNhtqtQ7QXpdqOo9vaiT3N8JMxR7IifaqJItE8jnRWkUg4Bu40oFhHFIkq7zUGZ5jV7mKyd4GEpy7VCmndlkYX4Awy144rWQHCt0hpcr45G1CTnhk7x2SMHOWw+Qb93B2V2FnbxSgPIWMxNEThyxEsR8PDw8NgBT8B6fCip9WpcWb7CjfwNDHvnyUSpYIrT/ac5kj2CT/VhORb3ive4snJl14EFuqozEBnAcRwWm4vbClwpJZVeBdM28ak+koHkpu87DjydtXi0vIotTYJk6PWiLK3WibRqBBWDM/1lhmNtGsJ9De2Oyjsiy9PEEFLX+PyIn8mk6+H0q376o1P8xdJ+Cl0V0b6PtvgIq9dGlCuItnu8ryoOh9J50sE2ftXPkROf58jZnyMTzjLbMPl/XGuw0rbpD6n8s5PRdfFa6VZ4b+k97hbvYtomotFAvXlz82seGeXAyc/w2tBr9IX7WGwscnn5Mg/KD3b8EGDYBopQcHDwKb4t35dSUuwUMDoNol2Itx1XuLbbSKDWC1DqBFgwJR1Tx2+HULcbCSsEPj1NTNuHlZAo/Uuk05JkUqIbG6JVtNtoKBxz+jhtDVGtDnO30MftWphnkRmWY4+wVRMZCKyJ1tC6aBUC9mWH+OzhM3wy5SP06B7q/fvvG32F3489OYk9Pe0NGvDw8PD4AfAsBB4fKvKtPBeXL75vfutEcoJT/afYG9+77m99e+Ftrq5cpWW2drxfSA+hKhn+4GmJYucB0ZeGDbzAkQ7lbhlHOkT0CKnA5irafNPij+7V6JYrqI7KRHCQlB6GXhdjZYVYu0s8UCEUzNPVJQ1UYtKPSCT5bjLHQ2NtrKwD98sGFwb6ON1/munMNH/vm3f4s7nvQOc5LOkMOibjZh1hu1FTHbuHri4yV1SZU49z/Gf+Kz7+8f1bXufLUrPcKfP24tvcLd7dJEJFvb7+v32o7A3u50upf8h3H8f47WfzXMj8BS1jcce97NpdNOH+CdKUV/4UWRZOvUqhMo/dbpFqSyJraQSGrVDshih3chQMnY7ogQS/FSHEZm+o9PsgECCkDxOLDhLKFfAnF0gkJGq7iSiVEHNFRMe1MwTQOGWPkqse5nlhhF8v5igodZbiD8gPPcMJ6shQFEJBUDaq6LEYnN4zwc+NjHFotYJy6Wub9mdbhMAZG8OemsI5eHBLRJmHh4eHx854FViPH3uklDytPuXyyuVdp16pisqR7BHODpwlHUwDrji7vHKZ24Xbu/pbM8EMUX+Ux5UCX7y/smlkasIn+MWJEEHVotarubcFEujK5k59KSW380X+/G4ZmmEwcyBVVMfmmNLCabXoOE2i0UVU1UAAPtvHaDbM8JED/EFFZ+bl3jFlGNQjfG54D//sdIN/8u2vcbVYgK4CS34SzQbxboOwJkgHVBzZImt1GOj2cXHvZ7k2Mg1C8E+PBPhvTqeZbZj8lb8o8azx4nx/kax+h7+xZ5WYb2tFUJmbIzC3yDlnkEPdAf6H1gD/Zu8ghngAsry+Ly+Le4mkY3ZQFRVVqO7QgE4HOh1Eu41ot+m1ahSMCiDJyTA+NBqGn0onRKkTomn4MdQuttIDqRCwIuvNXVLXIBBABgLgDzAYHWV0IIATnUMPtVEadVe0FouIl6qiSRlgvLkfZ+UED/PDtEydSnCJheQ9KomKW2l9RbSGw5K+jMbHx/bxyV6Q7INZRLG448/Q+h7092NPTWFPTkI0+r7rPTw8PDy24glYjx9bXuS3Xlm5st4YtR0RX4TjueOc6DtBxBcBYKGxwMWli+/rbx2KDKEpGkvNJQzb4MuzHe692iglO4xHe3x8KEgqkHIbil7CkQ6FdoGlYofv3A1htFO4YfaSaLdFotMgoBoEwwsE9RYaKpqjYisqs8kBFhP9/NMTcf5fNxqAAupBUI+BiIB9F+xb/J+OKe73DYEyr5OtVwmYrkBTHJ1fjA7gFMuUo4N86einKEU27AwCqPzdIf5X3y3ze09a4DwB+zo4rrf15RiuF8T8Mc4swqk77r7/T/lZvs8SPdXGUlQW4zksVWMspvPGUBDHNOgZbaRpELIVlJ6B6HbdKQVrNOhREl10FBJWjEY3TKUbotINYtmqO5xAayGFg5AqASvsjoD1+5F+P/j9CE0jEVeYGhxlcEBQMJ5iVUquaC2VEMaGnUQCsW6GZOEk9aWjVDsRbGGRjz5jsX+WZry75mndEK0+nySXk+zp8/FxX44z8zbh2aX397VGIjjT09hHjnjRVx4eHh4/BDwLgcePHS2zxdWVq1xbufa++a3nBs8xnZlGUzQc6fCo/IiLyxdZqO8cEu9TfYzGRrEdm9n67CYrQsNcEypSAg2QFggVU6bIBDd36puOSb6Vp90zqa/k6FSHsDquqPSbPdLtKpptEAwXSAXLaFJFcdxj5NVomqfpEQzN/e+wHgbtIKjTgAXWLbDvAy+qxlGwIDgrSdeKqI6N3osRKU1wwPLxz35qhZ+Onee7+87gKJu78SXQtbo8Kl0D44qbgvASTXNDnGVCGS4MXWAyPUnN+T7fvfcb3FJWuRboYRoOigSf7bC37FoHwnWJ0VJxgDDalgxXiaQkOtSkiWOEoTVGqRfiibHRfCWF4+axCtDVBLoeQ/r9OD4/KAq67k7W6sv4ODI6hJAdFuYusnKriFKpoFqbP3C0DR/B6n7UxTM0amM0gJ7WZnH0EcvZOcywAEUD3A87ui5JpyXZjMOYMHmtFuHENQPdnNv+B+gFuo69fz/O1BTO+LgXfeXh4eHxQ8QTsB4/NuRbeS6vXOZu8S62s3V86AuGokOcHzy/nt9q2AZXV65yefnytuNbXxDxRRgID9AyWzyuPN5+jQY4FRASCIASAyD60jF5z+qRb+cBkM0+inMh7DUN5cch1KwRMutoepdkdJWI4hAQOoYjafhDzGT3UA+sHS2LNIp2jP/NyTf5b2/NgHVpTbi+UvGTkHzaJVbtEaoNEy3tJ9DsYzTxjOzgPNbf+WW+8w1l872kBLkM9n3+v9fymEbdFeSvvmZd0Bfu4/zgeQ6mDvK89pzfe/B7PDWeoIwoKMsS3ysJVT3VFdYxVSFIYMtjmjg8swzKpoJs92G100j5ksATYPkE3WAHqekE9HFUPQwIJBCJuM1XqZTNYDpKv5agvvCYpcvXENUqirPZ/9yzVSrNBL78MUKrJxFWBEdRaPQ5zPc/pRCfw31690+iqkE65ZDNSBJqjfEanH+osb8TRGGXhixFwdm3D/vwYZyJCc/X6uHh4fGXhCdgPT7QvIizem/pPZ5Wn+64ThEKh9KHODNwhsHIIPCDT9rKhXKkgikK7QIzlZlt19iOTc2ocTRls9SKUjM3fnUSPreRq2k0qXQrbjapPsjTxz5qtRcVR4loNDnUy1O2bKKhIil/E4FEAPvTfhbTQ3zHSLkd6MoIqMdBGeG/OW7wjeff4ID/bR71tgr3AxFJ+coyU3N7cZYOohuuqO6LLiL2Nyj97C8hR0b4Pxwp8T/c7roi1ZkB6zrIChdyGqYd5I0BP0ste5O/Nxvex7984+OczA1xp3iHL9764sa4XSFw9u7FGR5mYGGZwt05Gk6Hth4k3baIKDoHwvraq4eW4SNvaMzZXRqmn2BvCJ8TQmoaBDTw6UhNx/SZ9PQOApUggyioqBokE5Jk0iaZlPh8kHWCxEstilcu86xRAMmm+m7H0ii2w7QaWSL5E/Q39qOJIHYqSTHXZCH1gKr6fH29UNznyGUd0sEWeqnIoWfwWiPJELt7VWV/P/b0NPbhwxDefuCDh4eHh8cPD88D6/GB5AcdPBDQAm5+a99JYn5XuBXbRS4tX+JO8c6uldqR6AgRX4SFxgINY/vJWoZtuKkEAuK+OIpQqBkOby33aJqSsAbH0x0UOgS0AOlAmpUVlWfPFdaf2ujhlFcRpkXU32E4Uma+1cF2JKoi2DMxSOrQPlR/gPnWHv7D80M4IoMii/zC6A32hDde/5eeNJlpbPzKHgnr/PdNlatf/yiOEeVR1SDflSSCJUpvCIY/eYZ/9ckBAKrdKv/H73+P3318E6QbqXUhp/H64Ia/tWY4fG/FQioHmUid5p8eS1Bs3eZm/uaOHwIsx6JhNGgaDneWHUSjTcLqMhHwY/Z0ak2NvGlRV2oowkdY9qGqIdA0d5wWrpWgK6o49FCkj4BIEotAIuFWWqNRiUCi1OsM1wXaap7lbh6TzZXWrq1SaEUotCPIZj/D1cNkevsRqSx2Os5qap4l9TJt4TZbvRCt6bRDOtLFV84TKlQ52Yxyyhkgzs7DA2QshvMi+iqX23Gdh4eHh8cPH0/AenygMGyD24XbXFy6uN7Rvx2JQILT/ac5mj2KX/MjpWS2PsvFpYu7VmpVRWUsNoaqqMzWZunZ2x8Hd8wOhuM2/MT98S3fd7NJixi2QcQXIe6P0+vBzIxKtbrWES9tqFZQG21QTSbiNQYi9fUqoQyHcSYm8CeznOw7yan+U0R8ESrdCu8svsPtwu0dG8ySgSQfiR3h2Fev8dbNft5dHFv/nu4T/L3/W5bo0T1IKXlWe8aVlSs8rT7d8fHAbcw6mj3KsdwxKt3K+w5xaJttenYPiSSiJmg1Vep1QaPhflm2Q1sU6VFDJ0xY9qHwqv/WoUMRB5uoL0JfKkwi4XpaNQ0wTUSlgq9SZ6RiYZpdlkRzkxXCsFWKnTD5VoR6L0CqPcxQ5zixyDSkMxhRlRX1OkvKZUzcDyOJuCSbdUjHDHy1EqJQIF0zOGcPclTm0Nk6tQvcKVvO5CT21BRyaMjLa/Xw8PD4EeEJWI8PBG2z7TZmrV6jbbZ3XDccG+bswFn2J/e74fdrjVnvLb3HcnN5x/sFtSB743vpOT2eVZ/tmBH7ohKrCGXb8am2Y1PsFLGlTTKQJKi51cvVVcHTZyq2BR3bZqVUJ1iroeOwN2pwOFMkoK35SzUVZ3QPoT0TnB44y4m+EwS0AEvNJS4uXeRh+eGOorFihPmThSNEKgn+7o2v8PN9Dt99dpbnNTdrtix8fG06TX7KJKQ85K8MPybh2766/OJ17k/u53jfcYajwzwoPXjfIQ7Vbp12W9JpazidKI2GoN3eEHI2Ji2xjEWPoEwTILmlecuih6WXiIYFg6kkmaROMOi+ZtFsIioVRLlMtNEj7QRpiB5l0V2//wt7QKkTpt7zo0iNrHmIQf0NQokDyHCYJsssK1coKHdxsIhGJdmsJJMw8DdKKMUiolplxIly3hnigExtuU73/dLcZqzDh91mLM1zXnl4eHj8qPEErMePlFKnxOVlN4fVcrY2EL1gIjnB+cHzjMRGADBtk1uFW+/bmBX3x9kT20PNqDFbm912jZSSptlESolP9RHQtmk6ckzKnTISSSqQwqe6zTmmCY8fq5RKAonE7EkWF1fQul0U4ZAKFciGGkyndAKqwMlmSU2e4uzeN5jKTKEpGrVeje/MfYd7xXs7vo7ByCCadoR/8l6GvmqRX77yJ/gtAwVwOp/EsmOshkL8+6CJdew6hJ4CNgL4pYkgI5HNosun+jiWO8bp/tMA3Mjf4Gb+5pYPD5YFrZag3rQpNGp0OwpWJ4LibD1aN2jREiuAICz78LH5A4CmgS9aRwvXiUUVRpJpVEUFy0JUq4hy2f3XMMjIIGF8rIoWXdyfixf2gGI7TMMIrE3WStGvnicXeh2fP4VEUhGPWVQuUlOeE4tKMhlJOmkTaJdR8nlEpYziwCEnzVlnkGFiWzdcUdwhA4cOuUMGAlt/Jjw8PDw8fnR4AtbjvzgvjvsvLV/iSeXJjus0RWM6O82Z/jNkQm52ZsfqcG3l2vtOzBqIDJAL5Vhtr7LSXNl2jSOd9ccIaIEtgwcAenaPWq+GQJAKplDFxtFytSp49EihZ4CGH9koU1gt0TFsAnqHTHgVTXG78ePxEJ/86Ou8dvzn1tMRqt0q7y29x63CrR29uplQhjdH3mQiOcGx31+lsVri7138EmFjw4/6bv4UsSMtvuxbpSfXLBEJE2IW+CQxn+AfHo6s78vxvuMcSh5iobnAtdVrPCo+pdtl7UvQ6UC7vfav2cGig5u5kNjGAiDpiDIdSmgEiMgBVNx99PkksRhEoja2v4geMAhqQRK+OEqr5VZZKxVEswnSbWYbdKKoCJaUJhYOHUuj1AlTaIdp9AJIVYFAkLB/jEH/x8iIIyioWPTIi5ssKZfRY2W30pqy8bcriGIRpVwGy8KHygmnj7PO0Lb+VmdgAOfIEXfIQCi07Xvi4eHh4fGjxxOwHv/FcKTDTGWG9xbfe9/GrJc9oQD1Xp0rK1e4vnodwzZ2vO94fJx4IM7z2vMdK7O2Y9O1u0gpCemhLYMHwBXKTaOJIhRSwc1Hy44Dz58rLC2p6DKEbTWQ5TyiZ1DoWgR9BaKBKgJwhKAYPUbsyC/w1b96BiEELbPFW/Nvcbtwe0fh2hfu4+zAWQ5nDq9f38F/94Sf/94fkG5XsYRNMVhhOVzgsm+E8YER3l3t4bz62+x30DSFf3DwJAdCpwiLFDPN2zxuX6VmVDBNgfXqXAYkXapIYaNIDT/xLUfrDhZNsYJJi4BMEhIZIiFBNOo2XMXjoOoGxW4RKSUJgkSaPUS1CrUqwtx4Uj8qGRnCxCYv2rRMnUI7QqkTomX43WEFwSAEQqT0IwzKs8TkKAJBlwpLymXa8evEUz2yGYdgt4IoFNZFK0Bc+jktBzjh9BN4JXxFZrPYk5M4k5PI1Oaxvx4eHh4eH0w8M5fHXzovjvsvLV+i2q3uuC7mj3G6/zTHc8fxa251bLW1yqXlS9wr3tvRt6oqKhOJCUJ6iJnKDE9r2zdxWY6F6Zg40tnW3wobjUmKUMiGslu+3+3CzAM/vUYChRpWYxlRqyGkJOrrkgwvUTN7gEAV+7g9+kuUoxP8fDqIIx2urVzj7YW3d+zo7w/387HRj7E3vhfxcoOQlPz83a/hyKfcTZcpBao4wmEuOUAzE8PXk2iKwLBfUrBWAurTBI1jyKDNd5QrFJX7OLwQj1tFaUeUQUr8xNDk5ulbACZtmmIZVbfpD/eRjQ0SjUoiEWfdGto225RbBZRim1xHwVdruFO3XiEmfcRlgJro8dDsUeyEKbZTtG0/MhBARoIQDKCqYfqcYww6Zwg47gSxBot0s+9iJe8zmLIJGnVEoYC4VUSYGyOB98g455xBJmQK5aXXK5NJN6t1chKZ3fo+e3h4eHh8sPEqsB5/aXStLtdWr3Fl+cqux/2DkUHODJzhYOogqqKuWwzeW3qPZ9VnO97Pr/o5lD6EEIL7xfs7Jgr07B4CgSOdbf2t4DZvOdJBFep61fdVauUA84/SNKwqttlAlMpro0klo/Eqo7EKtgP55RQ3Uz/LjeHzSEVhLKLwK6/VeFD87kaG6iskAgkuDF3gSPbIporwixzcO1f/lCvv/jnXy931DvzVaJqHfeP80kSIfr/GjSeSb9/1IxuHoT0JRhZCDzk7fgc9sHNTlkETiy4gCZDaZBMQCgQDDjJQwtBLxEI+9qT6iAQ3H79L06BanKdXL+Nrdcm22b4hCsjKEKpUeWw4rHb8lDphOiIEwQAyEISAHxD4ZYwBeYZ+5wQaARxs1L57mLnL2OFZAr36xojY3sZ7ryI47GQ54www+FJ+qwyFNhIEBge9BAEPDw+PH2M8AevxQ6feq3N15SrXV6/vKCphozFrODqMEGJj1OvSxV0tBhFfhIOpg/TsHg9KD3Zs/urZPVSh4khnvenqVVpmC0c66Iq+o7iNaFHmnyR4MF/Gpouo1xG1GkjwayaH0nkyfpPjTh9n975B6SNf4P/+WLDStsn4e5xNfZ9qZ3shngwkuTB0ganMlNvQhGu1mK/PM1OZ4VH5EbVmEfXaNYRpUjMcHtUsKv4Ij/ZM8oU9boPWaGyUU/2nWG4N8w/+YJXq4kMED9ifNIn7tlokJA5dqoDrNY75o/j9EAhIgkEIBiW+gEnVXqVttkj4E2RCmQ1xbRiIeh27VqFYW8Rpd4jjJ8r2+6yhkLbDrHQCzBiSYi+GqYeQwYDbIKVuHAbF5AgDzhnS8iCqUOkbbiH7r1AMXMZpL7uV1mJx7cPDBiF0Tjn9nHIGiKxdhwyHcQ4cwD50CDk66o1z9fDw8PiQ8GMhYL/4xS/yq7/6q6yurnLo0CH+xb/4F1y4cOFHfVker1BsF7m4fHHXUa+qojKVmeJM/xlyYTf83XIs7hTu8N7Se7smCqSCKfYn9lMzajwqP9rRUmA6JprQsKS1bWOWlJK22UYIgaZoO4rbZCBJkCTfulSgWO+AZa5V+1zhlA62mEqXeI0+zvkn8H/qCziHD69X9hYbi/zhzB/S6G2NsfKrfi4MX+BM/xlURcVyLJ7XnvOo/IiZysymNABlcRHl2UsCWFGwT5wglujncOYw05lp4v44D8oPuJm/yXx9HnDtDoYhsG3Wv0zHwBANVFUSD8QI+fUt005bZouVltv4lg1mieoRlHYb0WhAvY5oNGh361REDwXIyBC+HXJTA7Yfo5nlaVdjQQ1g+4JuldWn87KFQaCQdaYYdM4SUwYYG3PI7l2iFrnEk+XL2Pk14drb+oEoK0Occ4aYllk0FAgEsA8exD582BOtHh4eHh9SPvAC9ktf+hJ//+//ff7lv/yXnD9/ni9+8Yv81m/9Fu+99x4jIyM/6svzwBVq7y29x6Pyox3X+FU/J/tPcrr/9PoRvWEb3Fi9wcXlizSN5o73HY4Nsye6h5XWCk+qO6cWWI6FqqjYjo2mbLV3Syld76kAn+Lbdg24o2Vj/hgPFle4dqeDYQhEo46o1txueSHZH6/yc+EQF+QQgcljWD/1UxCJrD/PtdVrfO3Z17Y8thCCY7ljvD78OqqiMlef40HpAU8qT3asViszMyirrgUggo9D+17jwKf+NoORQSrdCtdXr3O7cHvXcbm1Xg1b2ggECX9is7+WjcEMlW6FoKPS74Twt3uIRsNNCbBtJJKi6NDFwi9VMoQ2+Upf0LU0zGaOij3IgqpgBAT4/a4f4RV0wgw4pxhSTnBob5h9+w1I3+Pus2+yOHd7iz3gZfbKBOedIcZlAqH7cPbtc32t+/Z5Wa0eHh4eH3I+8AL2k5/8JFNTU/zqr/7q+m0nT57k537u5/jv/rv/7kd4ZT/ZSCl5XHnMxeWL6xW/7QjrYU71n+JU/6n1I/q22ebKyhWurVzbVXRNJCYYjA7yrPZs1+ewpb1ecX055urla30hDn2qb9vUAYDh6DDpYJon1Sc8mW/x+LGKtGxEqYjouvePKPC3kxqf9ScIhZNYn/40zqFDmx7nyvIVvv7869s+x/G+40gpWWmtkG/nd52M9QL//YccLEiOyz7GZAJzfIzbb05zs3hr132xHItqrwpAWAsT1F9pyrJtjGaN1coc3U6dtKGR7gpUc3P1/EU6gI1DUgaIvhI/JYGm6afqZOhZ+6k6EZrhBig7e0yjcoi9vtOcHz/IwQOCgeEWDx5/nWsPvkljdW6LPeAFPlSOOjlOOQNkfQnsiQmcgwfdAQOvlpI9PDw8PD60fKDLFIZhcOPGDf7xP/7Hm27/xCc+wcWLF39EV/WTje3Y3Cne4eLSRUqd0o7rkoEk5wbPMZ2ZRlfdY/x6r87l5ctcz1/HtM1t76cqKpPpSdKBNA/KD3hr/q1t10kpEYpAIFCkgkRuEa9SSmzpVg79qn9L1fEFe+J7yAQzPKk+YaGxwOyswvy8Cp22G65vOyhS5ZQ9xP9+wCSlC5z9+zE++9n1quvL3C3e3XFfbqze2PF7LxPQAuxL7uNg6iAHnrxHwFkiT4tvKM+4NXeRzu99CWd0FDKZLc1ITaOJ6ZhI6ZBUwmiGBa0WoldmLeSVeqdK3qqiIuiT4TXP6GZLRhODiuiiIMi+YhOwUaiqacoyRc3IgRjE9HXp+WtAk1cTDsC1CQz5D/GxvWd4bbqf0WGL+rMb3Lj7Nb76tYuYvc7auq3E1mKwTirD+A4cwp6cpLdvH+hbLSIeHh4eHh9+PtACtlQqYds22VdibrLZLPl8/kd0VT+ZGLbBzfxNLi1fot6r77huIDLAucFzHEwdXK90VroV3lt6b9fcU13VOZo9StQX5XbhNncKd7ZdJ6VEV/VN4nS743Bw80x3sgkA7E/uJxvK8qD8gNnaLI4DMzMKhTyISgnRbKFIlcHaYf5aKMLn9yyiBIOYP/VTONPTO3axD0QGdm1C24mIL8L+5H4Opg4yGhtFVVR6Vo+7qbe5s3SLebGx76JjoT58CA8fgqZiqyo1zUKRoFuShKOCbcHLqVo45EWLOgZRfIzLhOsZfQkHSVG0MbAJSI1hGUUgkLpON5igJFOUjBhVI4jfyiDQ6WplHHZOOYgFA5wZOcbnjh7n0EgYZfY5z258mT/847d5Zu58P3BtAqfFMPvGTyMPTeLs34/p3zqAwMPDw8PjJ4sPtIB9wXYCZadqmscPl7bZ5vLKZa6vXN/1uH9vYi/nB8+zJ7Zn/b1Zbi5zcekiD8oPdjwqD2pBjuWOEdACXF+9Tq1X23adlJKgHsR2bExn++qtlBKf5sN2bBzpbBvjJIRgMj3JcHSY24XbzCzOAO5wgnv3VKpFC1EoohoOg7XDjNUP8/MTj5nMLOCMjtL7mZ+B2DajR1/ik3s+SVALcn31+np82ERygseVx1vW5kI59sT3cCB1gOHoMIpQ1mPEbhdu87D8EDNhoIzEUJYavDqpoImBbUkcS5Lo+V/ypG4kM7QwWBEtHCRZGWKAyJa96WFRFB0cJCklTDaSQoYj1NU4JTNGuemnWRcoaIRklgAmbVHcfgMExKKSiYEsn548xfmRCfzzi5i3v8GdP3qHK+YsRdHe/r6AjsJRZZATez9K+vAZnPFxbM8e4OHh4eHxEh9oAZtOp1FVdUu1tVgsbqnKevxwaRgNLi1d2vW4XxEKk5lJzg2coy/cB6yNia3N8u7Su7tmuEZ8EU71nQIBV1eu7trEFfVFMWyDrrU1DP/Fc4b0ELa0d5zS9UK4TiQmuFW4tanByrbh7l2V+nIbtVyjvzbOSPUIKaHzC4dvMJxoYn30DezXXvuBOtpVReX1kde5MHSBh+WHzFRmONl3kkq3Ql+4j1woR1+4j/5wPyF9Y1xpw2hwu3Cbm/mbmwc+CIEzNoYzMIAyN4fMr9CUBgI3niqyTXTVi0pqhS5BNEZkbEtSgBRQ9UvqfgUtGCcTn0QG4lQ6QWargmpRYBiu0NVlmIiMY4omTbG85fkUFRJxSSYtObN3Pxf6p9ibN9DuPKbwJ3/IW9Ycd5QCBvb2HgEgrAQ4NXSWY0c+Q+DAFOg62+dMeHh4eHj8pPNj0cQ1PT3Nr/zKr6zfdurUKX72Z3/Wa+L6S6DSrXBx6SK3C7d3zFfVFI1juWOcGzxH3B8HXBH5pPqEdxbfYbGxuOPjJwIJTvadxHRMrq1c23HAgUAQ88fo2b1dhWvcH8dwdha3L4TrkcwRbhdvc694b9P3bRvu3BK05mr0r/QzWjlKwIqQDrb4xakbJIZCmD/zM8iBgR1f038OlmMxU5nhduE2z6rPdowGA7cabksbp9MmvlJBrdYQlrnJJtDFYkU0MXBIywApLQr+APj9SDfoFdOvUxBtLF0l4ouimgmqVYVyWdBoik2PF5JZBCodUXxpgpeL3y9JJiWplGQoG+ZE4gCnaiGSjxdgbpYZWeSSssSs2L6qDiB1jcHMPk4c+DgHj/0Umn/r9C8PDw8PD49X+UBXYAH+0T/6R/yDf/APOHXqFOfOnePf/bt/x8rKCn/37/7dH/WlfahYba3y3tJ73C/d3/W4/0T/CU71nVqPwnKkw4PSA95dfJd8e2dfci6U40T/CVpGi3cX393RjqAIhWQgSdfq7mgnAMgEM5iOueOaF8L1zMAZZsoz/MGjP9giyKWEh3ccAndiTC6dIWS61oC+cIO/NXWNwIkDbqPWD/n4WkrJYnOR24XbPCg92FF8g7u/L/ZKQSHqi4IvCvE+7LUXIS2TaqtIuV1CU3X6wv0E/GHQNOyXrDZts02lV8EyLdTeIO1SgKXqRpX1BQo6IZlG4tASm9/TaNQVrKmUJByWDIo4Z1sJpu4b6MvX6UmTy2KVy8oyVWWHDx66jkhnODR+jtPTn2MgPvyftpEeHh4eHj+xfOArsOAOMviVX/kVVldXmZyc5J//83/ORz7ykR/1ZX0oWGgs8O7iu9v6M18Q8UU4O3CWE30n1kP/bcfmXuke7y6+u2sawUhshOO545Q6Ja6uXN0x61RTNFKBFG2rvaOdQAhBLpTDdMwdR7ICHEof4sLQBZZby3xv/ns7Pl7zbhbla3uItRLrtw1GavzS8Tvon/0Y9vHjP9Rxo7VejbvFu9wu3N71+gF6Vg9FUbAci4Aa2NbzbdgGq61VenaPuD9OOpjeEhEmpSTfKlKpm3RbfpxGhnZ7+6EDfhlDI0hP1LFwRbOqQiIhSaUckkmJT5eojSaTrRDnVnWGq262bJ4WV5UVbit51ybwCtLnQ6bThPtGOXrgYxzvP0HMv7uX2MPDw8PDYyd+LASsxw+XF8f97y69y0J9Ycd1cX+c84PnOZo7ut7NbzkWtwu3eXfx3V0rpOOJcY7njrPUXOLa6rUdvak+xUcmlKFpNndMNxBCMBwdxnIslptb/ZcvOJQ+xEeGPoLpmHzt2dfWp0m9Sn+4n/T1cR7+Xtgtw67RF27wv3jzGcrP/yzyh+Sx7lpdHpQecKd4Z9fMVnD31pau+FOEsu0UMYBqt0q5W0YRCn2hvq35rkC53mOhVKHWkNjNFJoT3uFZBWGZAylpKUXAIRx2rQHJpCQWkwjpIKpVopUWp0p+TrTjxPAjkTwRFS4pSzwV1S2PLEMhZDqNTKUYGZriVP8p9if3r4/M9fDw8PDw+E/FE7A/QTjS4X7pPu8uvkuhXdhxXTaU5fzgeSbTk+tiw7RNbuZv8t7ye9uORgVXaB5KHWI6O81sbXbXBjC/6icXzlHv1Xe1AYzGRpFSMt+Y39HaMJ4Y52OjHyPmi/Gdue9wM39z23URX4SPjXyM0Xdq/Nq/9WE5ykvf6/Ff/bUSwV/4rDs16j8D27F5VnvGncIdZiozO3qJX2A4BprQMBwDv7J9Xq1hG+TbeXp2j5gvtqXa2m4LajVYLFeoNLvYpkaILMoOI141QgSdJKZoY+oVEnFJMulWWf1+oNdDqVQQ5TJDFZszVh+HZQYVhRYGN5Q818UKVbHZJiAjEVe0ZjIo4QhTmSlO959eb/Lz8PDw8PD4YeAJ2J8ALMdaHz6w29H1UHSI1wZfYyI5sS6ifpBxr4pQmMpMcSR7hEflR9zI39hRtAW1IAORASrdCpVuZcfHG0+MA/C0+nTHxqax+Bivj7zOYGSQayvX+N7C97b1k2qKxtmBs5zvO034T/+C3/z9KPP1xPr3/ZrF3/l7gtTPnPtPtgw40mGhscCD0gMelB7s2Jz2Alva+FQfhm24wxh2mA5W7VWpdCsoKORCufVqa7crqFahVhOUqiY1q4iUDn7i+IhuGyEGEJRpVOFDixSIJg0SibUqq8AdG1suI0olfO0uU06Wk04/g0QBWKDOZWWZB0oR+0WnlyKQsTgyncZJpcDvJ+KLcDx3nBN9J9a90h4eHh4eHj9MPAH7Ica0TW7kXfG5U9UUts9w7Vpdrq1e4/LyZdrm9pmdqqJyNHuUqcwUD0oPdhWuYT3McHSYUrdEsb19fqgQggPJA/g1P/dL93es3g5Fh3hz9E1GY6MU2gX+/Omf75h8cDhzmDdH3ySuhND/8A95dLHO7z84trFAUfj8/7qPqS/8xzcSSSlZbi1zt3CXB+UHu0aBvVivqRpI94PBTkfphm1Q6BQwbIOIHiEdTNPtqNRqgnrdFa09A3qihiGbKEIlJLMoO/Rkquik/BnSGQsRXSUWd9wBVraNqFZd0VouI0yTlAxy2hngqMwRQMPG4Z4ocllZYkmsvT5NxUmm3EprMukaZYHh2DCn+09zIHnAswl4eHh4ePyl8oFPIfD4j8ewDa6tXuPS0qWdY6rWuvTPDZ6jP9y/fnvH6nB5+TJXV67u2B2vKRon+k4wmZ7kXvEev33/t3cVrmPxMUqdEg/LD3e8lkOpQ0R9Ue4U7+womHOhHG+MvMFEcgLLsfje/Pd4d+ndbad7pYNpPr3304zFx6DXQ//d30WZm+NecXp9jfT52Pu5CQ5/fid/6PZUuhXuFu9yt3j3fZuxAHRFx6/6aVvt9WvdTuBVuhXqRh0chaCTw2kFydcFTxoCa217bUw6lJA46DJMlCGE3FptVTUYSMToz/gJxOrgc/23otlErFRc4Vqvg5QIYJ9MccYZYFwmEAhq9HhPWeS6skILE+n3I1MDrmiNx9cr1ZqicTB9kNP9pxmMDP5H7aOHh4eHh8d/Kp6A/RDRtbpcWbnCleUru8ZUTWenuTB0gWQguX57y2ytC9edGq50Vedk30mmMlPcyt/it+791o7CNeaPsS++j0KnwN3i3W3XvBCuuXCOG6s3dvTCpoIpXh9+ncn0JEIIlppLfPnxl7cVj37Vz4XhC5zpP+OKRMNA/53fQVlcxHIUnlQyAMhgEHt6mtc+LxBi90MIKSX5dp5H5UfMVGZYbe0+/hRcgRrSQpiOScfs7Dg9rGf1WKwWabYdZDeK09pLu6283FuGRGLQxKQJQrg2ADY3eKkqxGKSZFxhX3+GSNSh2MkjbWujylqpIIyN9zaIznEnxwmnnxRBJJJ50eCSsshDUcaJRZHJQWQqhQxvFvmpYIoTuRNMZ6c3DWPw8PDw8PD4L4EnYD8EvBj3enV555gqXdU5lj3G2cGz68MHAJpGk4tLF9+34epU/ykm05PcLtzmN+78xq7C9VDqEKVuiev56zte82R6kvHEODfyN7hfur/tmogvwkeGPsKx3DFURcWRDu8svMP3F76/rS/2QOoAn977aTcrFcBx0P/kT1AWXXvBaitCz9aQ4TD21BR62Mfg4Pb7JaVkpbXielrLDzZPxtoBXdGJ+WNYjkXdqNMwXNvGy01ZnY6g0ZSs1CpUWm26bY2APYC67TQtiw5FJKARIEz/erVVUSEakSQSknhcMpiOkgzEafTq1EqP6C1XUV6qsr7MgIxw2hlgSmbRUOhhcVUsc81XZCWp46TSyNR+0Lb+ediX3Mfp/tPsje/1xjl7eHh4ePzI8ATsjzFNo8nl5cu7x1SpPk71n+LMwBnC+kYVrWE0XOG6en3XhqvTA6c5nD7MjfwNfuPub+wocmP+GFOZKcqdMpdXLu+YGDCRnOBo7ij3i/f5syd/tu0av+rn7OBZzg6cXc+drXarfPnJl7eN/QrrYT6999McTB3cEFVSon3jGygzMxvX6OtCNII9NQ2ahmnCkycK+/c7a3dxPa0z5Rnul+7v2GT2MqqikgvmUIRCuVtez8Q1DDcZwP2CVktQa3dpOiUkkoCM4yND+JVmK7fa2sCkBQKCMoOKjqa5QwTicYdYTBKNSlRFIRPKoHYNSguPWawUEbUqqrn1/dRROOxkOeH0MbTW5LVCk8vxJneSBkYihoxPb9vE5lf9HMke4VT/KVLB1PvuiYeHh4eHx182XhPXjyHVbpVLy5e4mb+5o/gMaIF14RrUNnJCfxDhGtbDnBk4w2R6kpv5m1xZubKjQI75Y5zInaDWq3GrcGvHxIAXjWKz9VkuLV3a9rkVoXCy7yQXhi9sEtsLjQX+4OEfbOuNPd53nDdH39z0GgHU69fRvvrVTbfJXI7fjf7X3H8SWL/NUbok9z1CpB9TVZ4g9db7BhEIIUj5ckgzSLnZZLVRotsVdLtuOkCnC5bpPoiDvT6GVZEaQTLbRlu51VZX3GoESQSixGKsfUlCoY1f04gIkGo79PJLFIuziM72dhGAjAxx0unfaMrSVe4N+bkcbzIXNCAQ2PG+uVCOk/0nOZw+jF/7z4sW8/Dw8PDw+GHiCdgfI8qdMu8svsPd4t0dhWJID3Fm4Ayn+k5tEh0/iHCN+CKcGzjHofQhbuZvcnn58o6WhKg/yum+07StNtdWr+2aGPD68Ou0rTbfnvv2jmkIB1IH+Pjox7dU+B6VH/HHM3+85ZpDeojPj3+e/an9Wx+sVsP/xS+6ZdA1ZDSK8cu/zEo7zr/6tS5l8YiS8pCamEWysZeKAsGgRFXdYuS6mHU0os4omAGaZpOqs7jpfi+z7lkVLcAhIFNobBWKL6qtUusSCkn6YgmSMY1oVLopAS+wbZRGg2xT4qvUKdWWMdg5W1ZBcECmOO0MsEfGIZ2huqefG6keV1miaW3fJAeuOJ9ITHB64PSmVAoPDw8PD48PEp6A/TGg0C7wzuI73C/d3/Fofrtxr+DaDN5bem9X4Rr1R3lt8LX1iuvFpYs7NoFFfBHO9p/Fxubi0sUdkwr6wn28Pvw6EV+Erz//+o4xV/3hfj6+5+NuWsAr3Mrf4itPv7LlNe9L7uPz45/fPmNUSvTf/32Uxxujcbs+hac/9yazeovZ2izfvZanUNg+d/VlBCpJuY+ATGDQoqo8xmJ7QQ9uQkAXt7FMJYCf2JY8Vk2XBEMWMlAmFJSk4gHSkfBmoWjbbiZrrUak2ibdsOhIg6LYudIKEMHHcaePE/4xonsOYo2N8SyjcbXtNp/t9LMD7s/AsewxjuaObvJIe3h4eHh4fBDxBOwHmJXWCu8svLNj/BS4R/jnBs5xLHcMXd0o27XMFheXLu5aHX0hXKcyU9wp3OHdpXd3zDIN62HODZzDr/l5Z/GdHRMDEoEEHxv5GHvje/newve4tnptW+EU8UV4c/RNpjPT21b56r06//rGv94iuj8y/BFeH359x8qgWFyE3/g15kSN52tfyxP92AMbUWFSQj4vWFhQ6HReEZj4STjjBGUKS/Qoi0f0xPYjbsGtonapIoWNlJIgKRRUFAVCIUkwKAmH3aqu46uhaO57kfAnNqK0LAtRr7tftRpKs8mAE0ZHZVW06O5SbQXYS5IT2eNMTJyD8X10MgnulR9wffU6+XZ+1/uOxcc41X+KieTEjsMUPDw8PDw8Pmh4AvYDyEprhbcX3uZR+dGOa9LBNOcHzzOVmdqUKdo221xavrRrHFbUH+XC4AWmMlPcL93n7cW3qfe2F2lBLci5wXMkA0neWXxnxwipiC/ChaELHMse417pHt+d/+62YlhVVM70n+HC0IVdfZV/8ewvuLZybf2/hRB8du9nOd53fNM6KSW1Xo3V9ipLjSUWr3yD1ac3cdYmRcloFPvYMbZDSqhUBLKVIdQ5gF3tp9ytUhL3aYndhZ+ltFH0LrruEA2EiQT8BAKSYBACAbk+jdZ0THdvBQTUAGE97HpWXwjWRgPRdo/0Q2hkZAgThxXRZLdfzGA4wfTAcY4deJPkxFGkz8dic5Ebqzd4UH6w44cWcBv7prPTnOo7RSaU2fV1enh4eHh4fBDxBOwHiKXmEm8vvM3jyuMd12RDWS4MXeBQ+tCmilnH6nBp6dKuDVcvhOuR7BFmKjO8Nf/Wjp32L5IAxmJjvL34Nk+rT3dcd37oPKf7T9M0mnzl6VeYr89vu3Ynn+urFNoF/u2tf7ulcvva0Gv4VB9No0nDaNAwGlS6lU02BvX6dURrY3iDffAgMpvd8hxD0SH2J/czHB0m385zr3SPhfoCpuk2YknJpi9FAaFadJ0mmgY+TXXF6A6V4FqvhpQSaRokTBW12UI0GtBsIF5KCRDAoIziW6u2ttleeMpgEBmPM9p/iKMH3+Tg8Ak0RcO0Te6V7nFt5RorrZVd9zUXynG87zhTmSkC2s7NWx4eHh4eHh90vBitDwA/iHAdiAzw2tBrHEge2JwrujY568rylR0brl5UR49mjzLfmOc37/7mjmJHV3XO9J/hcOYwl5cv85v3fnNbC4CqqBzPHecjwx8hoAa4tHyJ7y98f1ufbSKQ4NNjn2Zfct/7bQUAjyuPt33Odxff3f2OjrNJvAKwFsCfDWUZjY0yGhslF8qx2FzkXvEeb82/takhTtdB1zeeWyJpGS2EEDjSIavHdhStvU6DbqOMaLUJdy38zS6it0MTnPSRJkgPmyXR2FJtlcEgMhZDJhL40zmODJ3mRN8J0sE04E7tur56nVv5Wzv6lWFjPO/pgdOMREe8piwPDw8Pjw8FnoD9EbLcXOb7C9/fVbgORgb56PBHGU+MbxIfPavH5ZXLXF6+vGMjVcQX4fzgeY7njrPaXuV3HvzOjtVRVVE5kTvB6f7T3Cne4dfv/PqOx9CHM4d5Y+QNkoEkC40Fvvr0qxTahS3rNEXj7OBZLgxe2OTPfT9ejLYdi4/xvPb8B74fioIMBhGdDikZZEzG2ZPPMvDX/2t01ceT6hPul+7z5cdf3rGh7QUdq4MiFCzHIqgFN49+NU3XBtBuQ7tFvVVCaXcRpkkK35bGrfXLQzAoo/z/27vz6LbKO33gjyRbsrXLWrxJ3nc7dvYQQhKykJCmpfzSMpT2tHO6MtCZHg6dErpMF4ZOytIO5bRMy1AGaENPW5Y2AUqAJCRxQiDN5sRxvMbyvmm1JW+S7u8P12ocS5acTZbzfM7xCb669+q1ksN5/N7v+30lEKFP5EEr/l5HLAIEuWIisGo0ENRqQCpFmiINi1IXocxQBqlEioAQwHnbeZzoPQGryzrj+NUyNSqNlVyURURE8xJLCGKga6gL1R3VaHY0hz0nU5WJVZmrpgXXMf8Yjvccn7FTgCJRgRUZK7A4dTFcoy4caD8Qtp5WLBKj0lSJlRkr0TnUOWOrqyx1FtZnr0e6Mh3+gB/VHdX4oOuDkLOl+bp8bMrZBG2SdoZPIrzTfadhkpvwwpkXIp4rk8hgUpiQpkiDucON3EM1UEOGUfjQKHKgTjOKJrUPY4pkQKWCkJwcsmH/uH8cokAAAd8YRGPjkPqEia1XR0eBkRGI/v4Fnw8ejEOAAB8CmCgACL8ASickwSAkwyvyTcy2JiRAUCohqFQTgVWlmtgLFhP1qeWGcixMXRgM8oNjg6jpq8HJvpNh/26AidnWfG0+FqcuRq42l4uyiIho3mKAvY6iDa6rzauRo8mZElx9AR9O9p7EB50fwDPuCXmtPFEeDK7DvmFUd1TjTP+ZsO2TSvWlWGNZgxH/CN5rfS9sqyt9sh7rstahQFcAkUiEPk8f3mh+I+SCLnmiHBuyN6DcUH7Fj6v9AT+co064R91wjbkwODqIMf8YlFIlVFIV1DL1xJ/SfzzWHxv1wvrsDtQNW9EscsAXqlerCBOztWIxBIgAESD2Cxjzj0IaYpOBST4EMAwfRAAkECEZ4WeVEyBGZkAFqTgBXUpgUJk4EVRVKghy+bTzUxWpWGiaqE+VJcjgD/jR7GzG6b7TaHY2z9gCKzkhGVWmKixKXXTZvzAQERHFEwbY66BzsBOHOw9fVnD1B/yo6a/B4c7DYWffkhOSsTxjOZakLoEAAR90foC/9fwt7GPyfF0+1ljWQJmoxPtt7+NM/5mQ5ykSFbjFfAuqTFWQiCUQBAFHu45OqxudtMC4AOuy103ZRet6GPYNo8nRhEZ7I1pcLfAN9EFSdw4IhP6nLfy94jRRkGBE5EPCDLOnAgR44YMYIvgRgAKJYUsEIBbDqEyDRpeGIYUUndKRibAqDn1/mUSGMkPZtNnWU72ncKrvVNiWZpMyVZlYaFqIUn3prEo0iIiI4h0D7DXUMdiB6o5qXHBeCHtOpioTt5hvQa4md0pwDQgB1A7UorqjGs4RZ8hrJzsFLEtbBolYghM9J3Ck80jY0oJMVSbWWtbCorbgeM9xHGo/FHLhl0QswdK0pbg58+bganXPuAdvNL0RshuBUqrEx/M/jlxt7kwfx1XlHnWj0dGIens92t3t0wK1yOuFuK0NItsAJldIJQpiSCGBF+MIiITwQRTAyEWhVQrJ1BIBsRhCUtJEOJXLIVPpYDbmA0o1ujzdYWfIJ2UoM7AwdSJ4SiVSCIKANncbTvaeRL29Puwua8DEIrtyQzmWpC6BSWGK/EERERHNQwyw10DnYCeqO6rDtp4CALPajNXm1dO26xQEAQ2OBhxsP4gB70DIa6USKZamL8Xy9OVIkiRN9F1tOxB2cwF9sh5rLGtQnFIMq9uK91rfC7noCgAKdYVYn71+SqurNncbdjXtCjkDXGYow6bcTUhOSA77s14t9mE7GhwNaLA3hC13uFRyQIJk7xjGHAPwuvoh8nggGg+9OM2PAMbFgFiSiIA0ATKpHIJUCkilEJKSgKSkiT//3uQ1U5UJZaIS7jE3uoe6ZxyHVCJFqb4Ui1IXIV2ZDmDil4Iz/WdQ01cD27BtxutNchOqTFUoN5Zfl8+aiIhoLmOAvYqiKRUIF1wBoNXVigNtB9A11BXy2gRxApakLcGKjBVQJCrQ7m7HPuu+sOcrpUqstqxGpbES3nEv9rXtQ21/bchzjXIjNmRvmDaLWjtQizea3pg2KyhPlGNz7maU6EvC/qxXyh/wo32wHU2OJjQ7m2Eftkd1nSJRAUWiAj7BB8ewI1gyECQIQCAQ/BrzjyEhUYZxBCBNkM1Yu6uWqWFRWTAeGIfVZQ3bumxSpioTVaYqlKSUQJYggyAI6BzqxMnek6iz1cEf8Ie9ViqRosxQhipTFdIV6WyBRURE9HcMsFdBj6cHh9oPzdgOy6K24BbzLSGDa9dQFw60HQjbMkosEmNh6kLcnHkzVFIV7MN2vN/2ftgtZqUSKVZkrMCK9BVIECfgVN8pvN/2fsh2WzKJDKstq7E4dfHUVlEATvaexJ4Le6YtIDKrzbij4I5r0p7JO+5Fs7MZTY4mtDhbwm7KcCl9sh7KRCXGAmPo9/ZHbJPlC/gglUiD5820Yl8iliBHk4NkSTL6h/vD7kY2KSkhCeWGclSZqpCqSAUwMdt6tv8savprws6sX/yzLElbggpDxYy7lREREd2o2Af2CvR5+lDdUR02SAITwXW1eTWyNdnTXrMN23Cw/SDO286HvFYkEqHcUI7V5tXQJmkx7BvGuxfexYneEyHrJMUiMRanLsbN5puhSFSg19OLt1veDjtDW2GswLqsdVBKldNe+7DrQ+yz7pt2fGXmSqw2r54Wdi+XP+BH51AnrC4rWt2t6BzsnHHF/cXSlenQyDQY84+ha6gr4mP4gBBAoiRx4rMTTXw/U3BNV6bDkGzAsG8YF1wXZpwtBSbajFWZqlCcUoxESSIEQUCrqxUne0+iwd4wY22rRCxBoa4Qi1IXhfwlh4iIiP6BM7CXwTZsQ3VHNepsdWHD1kylAoNjg6juqEZNX03YUFOcUow1ljUwyA3wB/w42XsS1R3VYRdoFacUY132OuiSdPAFfDjccRhHu46GvH+qIhWbcjfBrDKHvFeLswV/qPvDlGNikRifKPgEygxlIa+JliAI6Pf2o9XViguuC+gY7Ih6llUilsCiskAr02IsMIY2d1vElfoAIBFJkCBOwIhvJGIwVEqVyNVM9FC1uq1hF9BNUiQqUGmqRJWpCrokHQBgxDeCs/1ncaL3RMRQrU3SYnHqYlQYK6579wYiIqJ4xRnYWXCOOFHdUY2zA2fDBtdMVSbWWNaEDK4jvhF82PUhjvUcC7vLVbYmG2sta5GpyoQgCGh2NGOvdW/YIJShzMD67PWwqC0AJhZcvd3ydsjzpRIpVptXY2n60rAzjyO+EbzV8taUYwniBPy/ov+HAl1ByGtmIggCHCMOtA22weqywuqyRlylfzGlVIk8bR60Mi08Yx40OZui2p0rUZwImUSGEf8Ixv3j8Av+sOFVLBIjV5sLtVQN16hrxr9fYGJmPEeTg4WmhSjUFQZbjFldVtT016DeXh/273fy/Qp1hag0VSJPm8cNB4iIiGaJATYK7lE3Puj6AKf7Tod9jJyuTMdq8+ppO2cBE/WWkVpcpSvTsdayNtgH1jZsw3ut74XtZKCRaXBr1q0o1ZdCJBJhzD+G/W37caLnRMjzi1OKsSFnQ8S61bdb3p7SbUAkEuGukruQo8mZ8bpJnnEPeoZ60OPpQddQF7qGuuAd90Z17aRURSoKtAXQJmlhH7bjvP08akZqIl6XKEmEPFGOcf84PGMejAfGgz9DKOnKdJhVZoz6RtHkbELzePjFdwCgS9JhgXEBKowVwc/RO+5FbW8tTvaejDjbqk/WT3QSMJSHLNsgIiKi6DDAzsAz7sHRzqM40Xsi7KKgVEUqVptXB3epupggCDg7cBYH2w/CPeoOeb0uSYc1ljXBIDriG8HhjsP4W8/fQj7+l0qkWJm5EsvTlyNBPPHX1+5ux5vNb8Ix4ph2vlKqxO25t6MwpTDiz+sd96LOVjflmEamQYYyY9q5voAP9mE7+of7MeAdQL+3Hz3enhm3Og1HKVUiW5ONbFU2lFIlOoY6UGeri6rrQII4AWqpGgIEuEZdcI1MtBILF1oViQoU6AoglUjROdiJY93HIt6/KKUIVaaq4Kz6ZG3r6b7TqLfXz1gbKxaJUaIvwaLURbCoLKxtJSIiugpYAxvCiG8EH3V/hGPdx8LWZ+qT9VhtWY2SlJKQwfWC6wLeb3s/7Ip1pVSJVZmrpuxyVdNfgwNtB0I+YheJRKg0Vk7soPX32TtfwIdD7YfwYfeHIR95L0pdhFuzbg1uRhCJP+DHf//tv6c9/k6UJEItVSMlKQVD40MYHBuEZ9wT9WKrS8kkMmSps5CjyUG2Ohs+wYcGewPq7fURZzGBiVA5WW/qGnFhLDBzDa1ELEGBrgBaqRbOUSeanE0RF2SF6rvqHnWjpr8GZ/rPRKyNVcvUqDJVocpUBZVUFfFnIiIiougxwF5kzD+Gv/X8DR91fRT2Ub82SYtbzLeg3FAesnax19OLfdZ9Yes0ZRIZVmSswLL0ZZBKpAAm2nC9c+GdsM35s9RZ2JizMdiSCZho6v+Xxr+gx9Mz7Xxdkg5b8raE7HwQyV9b/opTvadmfd1MZBIZMlQZMKvMyFZnI12Rjh5vDxrsDThvOx92A4aLScQSpMpTIRKJ4B51Y3As8kyvWW1GjjoHI/4R1NvrI84OJycko9xQjgWmBcH3EgQBVrcVJ3pOoNHRGLGTQHFKMSqNlcjWZLO2lYiI6BphgAUw7h/Hyd6TONp1NOwCI6VUiVvMt6DSWBmyhZRr1IVD7YfCLgCSiCVYnLoYKzNXBlebD/uGcbD9IE72ngx5jVqmxobsDShOKZ4yy1s7UIu3W94OOTu8JG0Jbs26NRiOZ2tobAh/qPsD+rx9U45PhrlIJGIJTHITUhWpSFOkIVOZCYPcAGBigdnkTGtU3QPEEqQp0iATyzA0PjRtTKFok7Qo0hVBKpGifbAdbe62iOPO1mSj0liJEn1JsCzDOeLE2YGzUc226pJ0qDRVotJYydpWIiKi6+CGDrD+gB9n+s+gurM67OycPFGOlRkrsSh1ERIlidNeH/WN4mjXUXzU/VHYOtkyQxnWWtZCm6QFgGC5wPtt74dc4JQgTsBNGTfhpoybprxnQAjgnQvv4GTvyWnXqGQqfDz/41EvtpqJIAjoGOyYmCG1n4d71A19sn7a4321TA2j3AhjshEGuSH435MBf8w/hhZnCxodjWh2NIed1b6YRCxBpjITyQnJGBofQtdQV8QAmpyQjBJ9CXQyHXq8PWh0NM7YBQCYCJ0VxgpUGCqCfy/+gB+Njkac7D0ZsdNBgjgBxfq/z7aybysREdF1dUMGWEEQcM52DofaD4Vc+ARM7Ka0PH05lqYtDbkbUkAIoKavBgfbD4adtc3WZGNd1jqkK9ODx2zDNrzd8jba3G0hrylOKcb67PXBUDVp2DeMPzf8OWSwKtGXYEvelqhrXWdDEAR0e7oxPD6MscAYlIlKqKQqqKSqkDPRg2ODaHY0o8HRAKvLGnFHLGAiDOZociBPkMPr88LqtkYMoJON/7PUWRgcG8S5gXMRSxESJYko1Zei0lgJs8ocDJ22YRtq+iZqWyO1+DLIDVicuhjlhvJr8nkTERFRZDdUgBUEAc3OZhxoOxD2cbRUIsXS9KVYnr48uHjnUi3OFuyz7kO/tz/k6wa5Aeuz1k9pqTXuH8cHXR/gaNfRkAuIdEk63JZzG/J1+dNesw/b8af6P01blZ8gTsCG7A1YlLooZjOAgiCgz9uHJkcTmhxNYXf9upRUIg32XvWMedDiagm51e2lzGozinRFgAA0OhvR7m6PeE2GMgNVpiqU6kuDv4yM+kZx3n4eZ/rPRLzHZCcCdhIgIiKaG26YANvubsf77e+jw90R8vUEcQIWpy7GTZk3hd0RyTZsw17rXjQ7QvcLVUqVWG1ZjUpj5ZQFPFaXFX9t+WvI2d5ESWKwXGCy/vJivZ5e/P7c76c9ftfINPhU8aemLOy6XkZ9o2h1t6LF2YJmZ3PUrbOSE5JRoCuARqaBZ9yDRkdjVLWwqYpUlOhLoJKqcMF1AfW2+ogzu2qZGhWGClQYK6BP1geP93p6cbL3JM4NnMOof3TGe2QoM1BpmqiNDffLDBEREV1/874PbJ+nDwfaD6DJ0RTydbFIjCpTFW7OvBlqmTrkOcO+YRzuOIzjPcdDrkJPlCRiefpy3JRx05TFUyO+Eexv2x92VX+eNg+bczdPKxeYZBu24Q91f5gWXjNVmdhWtO26LRgSBAG2YRuanc1odjajY7AjYhuqSdokLQp1hdAmaeEedUfddUAj06DcUA6T3IQeTw9O9J6IGJQnZ0orjZXBDSGAiYVpdbY6nOk/E7at2aSkhCSUG8pRZaqKyS8HREREFNm8nYF1jjhxqOMQagdqQy4CEolEKNWXYo1lTbCn6KUCQgAnek6guqM67AKkCmMF1lrWTgu/DfYG7LmwJ+QMo1KqxMacjSF7yE4a8A7g93W/n3Z9hbECW/K2hJytvZo84x5YXVZccF1Aq6s17EYMoWQoM1CgK0BKUgp6Pb04bz8fttb4YvJEOYpTipGryYVjxIFztnMRAycwEegnuwhM1qUGhACaHE043XcaLc6WGdtfAROlCQtNC1GSUhJysR4RERHNHfMuwHrHvfig8wMc7z0edpawQFeANZY1M86wWV1WvNf6XthaWYvago05G5GmSJtyfNg3jHdb30Vtf23I6xanLcZay9oZFwD5Aj48d/q5aaFvefpyrM9ef01qMEd8I2h3T7SdsrqtUQXHSYmSROSoc5Cvy4dOpkP7YDvq7fVha4QvJpPIUJRShOKUYvgEH872n40qcGpkmmAXgZTklOBx54gTNf01ON13OmJ5glKqRKWxEguMC6bcg4iIiOa2eVdC8KuTvwpb25ipysStWbciS50V9nrniBPvt70/bUvVSRqZBuuz10/rzQoAzY5mvNXyVsjglJKcgi15W2Z870nHe45PC69VpqqrGl5HfaPoGOxAm7sNbe42dHu6Z7WzVkpyCvK1+cjT5CE5MRlNjiYc7zkeVWhNECegQFeA4pRiJEoS0WhvxBvNb0RcxJUoSQyWCFzcumrMP4YGewPODpxFq6t1xp9DJBIhV5OLKlMVCnWFITspEBER0dw27wJsqPBqlBux1rIWBbqCsAHQF/Dhg86JLgGhFghJJVKszFyJZWnLpj1iHvOPYa91b8haV7FIjJsybsIq86qoHvsP+4ZxpPPIlGNlhjJsydty2eE1IARgG7ahe6gb3Z5udA12odfbO6vAmihJRJY6C/nafORqcuEX/Kiz1eE963tRbf8qEUuQp8lDib4E2iQtmhxN2GvdG3GWdDJwlhvKUZRSFKwxFgQB3UPdON13GrUDtWG3/J1klBtRYaxAuaGcW7sSERHFuXkXYC+mkqmwxrwGFcaKGbf1bHY0493Wd8PWaVYYK3Br1q0hg0+Ppwe7GneFDHEmuQlbC7ZOKzOYSaO9ccpMpEQswcacjVGHV1/AB9uwDT2eHvR5+tDjnfgzUsC7lEgkQqo8FbnaXORocpCpzMTA8AAa7A14pf6VqEKrWCRGrjYXpfpSpCvSccF1Ace6j4Xc/vZSRrkRC4wLUG4on7JYbWhsCOcGzuFM/5mIO3NJJVKUGcqw0LQQaYo0tr8iIiKaJ+ZlgE1KSMLKzJVYmrZ0xllPx4gD77W+F7ZDQboyHRtzNsKsMk97TRAEHOs+hvfb359WaysSibAyY2XUs64Xu3R21x/wY3fTbqzMWAmpRBqcgfSOezHsG8awbxjuUTdswzb0D/fDPmyPWD8ajkFuQLY6G9mabGSpsyCTyNAx2IFGeyPean4rqu4BYpEY2ZpslOhLkKXKQttgG872n8WbzW9GnPFVJCpQoi/BAuOCKYHTH/CjwdEQdX1smiINC1MXokxfFnITCiIiIopv824R137rftyUedOMfTv9AT+Odh3Fkc4jIcsFFIkKrM1ai0pjZchZu1HfKN5sfhP19vppr6Ukp+Dj+R9HpirzssbvD/jx0tmXopqlvFIGuQFZ6ixkqbNgUVmglCrhD/hhdVvRYG+Iuk+rWCRGjiYHxfpi5Gvy0ePpQe1ALRodjRH7tUolUhSmFKLCUIFsdfaUmlTbsA2n+07jTP+ZkFvuXkwpVaLCMFEiYFKYovsAiIiIKC7NuwAbSaurFe9ceCfkI3CRSIRFqYtm7BLQ7+3H6w2vh7y+ylSFjTkbp/SCvRz2YTv+78z/zfqx/0zkiXKkK9ORpkhDhjID6cr04IYNo75RtLha0GBvQLOjOWKDf2CitCFbPTHTWqArwIB3AOds51Bvqw/bcmySSCRCtjobFcYKFKcUT/m8POMenLedR+1ALToHO2e8j1gkRp42D5WmShRoC7ggi4iI6AZxwwTYobEh7LXuxbmBcyFfN6vN2JSzacbWWnW2OrzZ/CbG/eNTjiclJGFL3haU6Euu2njP9J/BG01vwCA3YMA7MKtr1TI1THITUhWpSFOkwSQ3QSPTTJlNdo260ORoQqOjEW3utqg2JkgQJyBPm4filGLka/PhHHWidqAWdba6qHfUKjOUoUxfNqVvrj/gR7OzGTV9NWh2NkcsETDIDag0VqLMUMYFWURERDegeR9gBUHAmf4z2GfdF3JmUJ4ox/rs9agwVMy4yOd4z3G82/rutDrOVEUqthVtC7ub1pVocbbAPepGvb0e44FxjPvHMRYYgyAIkCfKkZyQjKSEJCgSFUhJSoFBboAh2RBy9lgQBPR4etDkaEKToynqEgWZRIZ8XT6KU4qRp83D4Ngg6mx1ODdwLqqFXJP9WssN5VO2dAX+USJwtv8sPOOeGe8zuUPWpfWxREREdOOZ1wHWNmzD2y1vo83dFvL1KlMVbs26FfJEedh7BIQA3m97Hx92fTjttUpTJTblbJqzOzeN+cfQ6mpFs7MZTY6mqGZJgYka4AJdAYpSipCjyQluxVpnq4tqgwN5ohwl+hKU6kthUVmmhE3PuAd1A3U4ZzsXsUQAmNgwospUxR2yiIiIKGheBtiAEMDRrqOo7qgO+Wg8VZGKzbmbIy60CggB7GrcNW1TA7FIjM25m7EwdeHVHPYVEwQBjhFHMLC2D7ZHVRoATCw+K9QVolBXiExVJrzjXpy3nY86aE4uxirXlyNHkzOlHtUf8OOC6wJq+mrQ6GiMqkSg3FCOMn3ZNZnZJiIiovg279po9Xn68FbLW+ge6p72WoI4Aastq7E8ffmMfWGBifC6u2n3tPCaKEnEtqJtyNPmXdVxX64x/xisLitaXC1ocbbAOeKM6jqRSIQMZQaKUopQqCuEPlkPz7gHDfYGVHdUw+q2Rmx7JRaJka/NR7mxHAXagikzpJMlC2f7z6LOVhexREAmkaHMUIZKUyXSFeksESAiIqKw5l2A/b8z/xdyhi9Pm4dNuZugS9JFvIcgCNhzYc+0BV9KqRKfLv400pXpV228szUZDFucLbjguoCuoa6oZ1mlEilyNbnI1+UjX5sPpVQJ77gX9fZ67LmwB23utoihVSQSIUudhTJ9GYpSiqaVX7hGXTjbfxbnbOeiWnyWpc5CpamSJQJEREQUtXkXYC8Nr/JEOW7LuQ2l+tKoZ/X+1vO3advCapO0+GzZZ6GRaa7WUKMiCALsI3ZYXVZY3Va0udsi9kS9mC5Jh3xtPvJ1+chSZyFBnIAR3wga7A2os9Wh1dUa1cYHFrUFpfpSFKcUT9kZCwDG/eNocjahpq8GF1wXIoZgg9yACkMFygxl1/3zJCIiovg37wLsxUr0JdiUuynY7zQa3nEvqjuqpxxTyVS4p/Se6xK2BEGAa9SFVncr2txtsLqsUS++Aib6s2aps5CnyUOBrgApySkAJn6u2oFa1Nvr0epqjWrWdrLtVam+dNrPHhACaHW1TmxYYG+M2Ds2KSEpuMtWpjKTJQJERER02eZlgFVKldicuxlFKUWzvra6oxojvpHg91KJFPeU3nPNFhMFhAD6vH3oHOxEx2AHOgY74B51z+oeuiQd8rR5yNfmw6K2TNlu9lTvKZy3n4fVZY1qptUkN6FEX4ISfcm0tlcA0OvpxZn+Mzg3cC5iXetkjWyFsQIFuoJZb6tLREREFMq8SxTlxnJsytkUdietmYz6RnGq79SUY7eYbwkZ5C6HIAgYHBtE11AXuoe60TXUhR5Pz6x33EpKSEKOJge5mlzkaHKmhGvPuAe1A7U4bzuPNndbVKHVKDeiRF+CMn1ZcMb2Yt5xL84NnMOZ/jNR9Y9NU6Sh0lSJUn3pjC3KiIiIiC7HvAuwdxTccdnX+gTftEfri1MXX9a9AkIA7lE3+rx96PH0oMfTg15P76zKASYlShJhVpmRo8lBtjobqYrUKV0UnCNONNgbUO+oR+dgZ8QaVGBi1rbUUIoyfRmMcuO010d9o6i310ddJ6uUKlGSUoJKU+WMu5kRERERXal5F2CvhDxBDqVUOSVkPnv6WSxNWwqT3AR9sh4SsQT+gB8BIQC/4Idn3IOhsSEMjQ1hcGwQzlEn7CN2OEYcUXcHuFSCOAEZygxka7KRrc5GhjJjSl9VYGKThnp7PRrsDSFbhoVilBtRnFKM4pRiGOXGaXWok3WtZwfOosHeMG3L3EslJSShOKUYZYYyZKmzIrYmIyIiIroaGGAvIhKJkKpInRJg3aNu7LPuu6bvq0hUIFOVOfGlzES6Mn1avaggCOj2dKPR3ogGR0NULaqAiZrWYn0xSlJKYJAbpr0+2Zbr3MA5nLOdizhDLBKJkKvJxQLjAhSlFLGulYiIiK47po9LFOoK0exoBoBps7FXQ4I4AamK1GBQzVBmQCPThFyV7w/40eZuQ729Ho2OxqjHkqZIQ1FKUdiFWADgGHEEF2M5RhwR72mUG1FmKEOFoQJqmTqqcRARERFdCwywl1hoWohR/2hwS9YrIU+UQ5ekQ5oiDamKVKQr0mGQG2Z81D7iG0GLswWNjkY0O5ojtqcCJmZFM1WZKEkpQaGuMGzHBM+4B/W2etTaatHh7oh4X7VMHezXGqpOloiIiCgWRE6nM/KKnxtUq6sV/d5+9Hn7MOAdgGPEAZFIBLFIDIlIArFIDHmiHMpEJZTSiS+1VI2U5BToknRITkiO6n0cIw40OZrQ5GhC+2B7VLWzYpEY2ZpsFKcUo0BXAJVUFfK8Yd/wlE0LIi3wkklkKNYXo9xQzrpWIiIimpMYYGMgIATQOdiJZmczGh2NUdezSiVS5GknNigo0BWEDci+gA/NzmbU9teiydkUMRBLxBLkafJQZihDoa6QW7oSERHRnMYSguvEO+7FBdcFNDub0eJowbBvOKrrFIkK5OvyUZJSgmxNdthFUwEhgDZ3G+psdai31Ud1f7PajAXGBShJKbmsvrlEREREscAAe41Mru5vdjajxdmCrqGuqPqzAkBKcgqKdEUo0BUgU5UZ9jH+ZGg9bzuPens9vOPeiPc2yU3B/q/XancxIiIiomuJAfYq8ox70OpqRYuzBRecFyJutTpJLBLDoragQDtRGhBqN6yL9Xn6UDtQi1pbLQZHByPePyU5JbjTFhdjERERUbxjgL0CvoAPHYMdsLqsuOC6gB5PT9SzrMkJycjV5qJAV4A8bV7EBV8D3gGct5/Hedt59Hv7o7p/maEM5YZyZCgzQrbpIiIiIopHDLCzIAgC+rx9aHW1otXVivbB9oi7VV3MJDchX5ePPG0ezCpzxBX+9mE7ztnOoc5WF9VCr6SEJBTqClGqL0WOJmfa7l1ERERE8wED7AwEQYBt2IY2dxva3G2wuq1R1ZlOkklkyNHkIE+XhzxNXlQbALhGXThvO486W11UW8RKJVIUphSiTF+GXE0uQysRERHNewywFxEEAf3efrQPtqPd3Y72wfZZ78SVpkhDnjYPudpcZCozowqUzhEn6u31qLfXo3OwM+L5YpEYudpclBvKUagrhFQindUYiYiIiOLZnA6wL7zwAl555RXU1NTA7Xbj9OnTyM7Ovmr3H/ePo9vTjc7BTnQNdaHd3R51e6tJSqkSuZpc5GpzkaPJgSJREdV17lE36u31qLPVRR1aczQ5KNYXo0hXBHmifFbjJCIiIpov5nSA9Xq9WL9+PT72sY/hO9/5zhXdSxAE2Efs6BrqQvdQN7qGutDr6UVACMzqPjKJDNmabORocpCjyUFKUkrUC6Tco+6JXbHsdVFt5SoSiWBRWVBmKEOJviTqnb2IiIiI5rM5HWDvv/9+AMDJkycv+x6n+07jbP9Z9Hn7MOIbmfX1UokUZpUZWeosZGuykaZIm/X2qq2uVhxoO4Cuoa6ozs9QZqBUX4oSfUlUdbNEREREN5I5HWCvBteoC23utqjPT0pIglllhkVtgUVlQZoi7YoXRklEkojh1aw2oySlBEUpRdDINFf0fkRERETz2bwPsGmKtBlf1yZpkanKhFlpRoYqAya5adYzrJGYVWYopcppC8IylBko0ZegRF/C0EpEREQUpeseYB999FE8+eSTM56ze/durF69+qq8n0luCv53UkIS0pXpSFemI0ORgXRlOpRS5VV5n5mIRCIU6ApwqvcUMlWZKE4pRnFKMbdyJSIiIroMIqfTGd3WUVeJzWaDzWab8Ryz2Qy5/B+r7E+ePIl169ZdVhcCQRDQ4GiASW6CVqaN2Y5UzhEnJGIJVFJVTN6fiIiIaL647jOwer0eer3+ur2fSCRCcUrxdXu/cDjbSkRERHR1zOka2N7eXvT29qKpqQkAUF9fD5fLBYvFAp1OF+PREREREVEsXPcSgtnYsWMHHnvssWnHf/nLX+Jzn/tcDEZERERERLE2pwMsEREREdGlrm6/KCIiIiKia4wBloiIiIjiCgMsEREREcUVBlgiIiIiiisMsEREREQUVxhgiYiIiCiuMMASERERUVxhgCUiIiKiuMIAS0RERERxhQGWiIiIiOIKAywRERERxRUGWCIiIiKKKwywRERERBRXGGCJiIiIKK4wwBIRERFRXGGAJSIiIqK4wgBLRERERHGFAZaIiIiI4goDLBERERHFFQZYIiIiIoorDLBEREREFFcYYImIiIgorjDAEhEREVFcYYAlIiIiorjCAEtEREREcYUBloiIiIjiCgMsEREREcUVBlgiIiIiiisMsEREREQUVxhgiYiIiCiuMMASERERUVxhgCUiIiKiuMIAS0RERERxhQGWiIiIiOIKAywRERERxRUGWCIiIiKKKwywRERERBRXGGCJiIiIKK4wwBIRERFRXGGAJSIiIqK4wgBLRERERHGFAZaIiIiI4goDLBERERHFFQZYIiIiIoorDLBEREREFFcYYImIiIgorjDAEhEREVFcYYAlIiIiorjCAEtEREREcYUBloiIiIjiCgMsEREREcUVBlgiIiIiiisMsEREREQUVxhgiYiIiCiuMMASERERUVxhgCUiIiKiuMIAS0RERERxhQGWiIiIiOIKAywRERERxRUGWCIiIiKKKwywRERERBRXGGCJiIiIKK4wwBIRERFRXGGAJSIiIqK4wgBLRERERHGFAZaIiIiI4goDLBERERHFlTkbYB0OB771rW9h2bJlSEtLQ3l5OR588EHY7fZYD42IiIiIYmjOBtju7m50d3fjRz/6EY4cOYJf//rXOHLkCL785S/HemhEREREFEMip9MpxHoQ0XrnnXdw9913w2q1Qq1Wx3o4RERERBQDc3YGNpTBwUHIZDLI5fJYD4WIiIiIYiRuAqzT6cSPf/xjfOELX0BCQkKsh0NEREREMXLdA+yjjz4KrVY749ehQ4emXOPxeHDPPfcgPT0djzzyyPUeMhERERHNIde9BtZms8Fms814jtlsDpYJDA0N4a677gIA/OlPf4JSqbzmYyQiIiKiuWtOL+IaHBzEXXfdBUEQ8Morr0ClUsV6SEREREQUY3O2mHRwcBDbtm3D4OAgdu7cCa/XC6/XCwDQ6XSQSqUxHiERERERxcKcDbCnTp3CsWPHAABLliyZ8tru3buxevXqWAyLiIiIiGJsTpcQEBERERFdKm7aaBERERERAQywRERERBRnGGCJiIiIKK4wwBIRERFRXGGAJSIiIqK4wgBLRERERHGFAZaIiIiI4goDLBERERHFFQZYIiIiIoorDLBEREREFFcYYImIiIgorjDAEhEREVFcYYAlIiIiorjCAEtEREREcYUBloiIiIjiCgMsEREREcWVeRdgX3jhBXz84x9HVlYWtFotrFZrrIc0Zz333HOorKxEamoq1q5diyNHjsR6SHPe4cOH8ZnPfAalpaXQarXYuXNnrIcUF372s59h3bp1sFgsyM/Px913341z587Felhz3v/+7//i5ptvhsVigcViwW233YY9e/bEelhx56c//Sm0Wi2+9a1vxXooc96OHTug1WqnfBUVFcV6WHGhp6cH//Iv/4L8/HykpqZixYoVqK6ujvWw5rQFCxZM+/em1WrxT//0TxGvnXcB1uv1Yv369Xj44YdjPZQ57bXXXsPDDz+Mb37zmzh48CCWL1+Ou+66C+3t7bEe2pzm8XhQVlaGn/zkJ0hOTo71cOJGdXU1vvzlL2PPnj3YtWsXEhIScOedd8LhcMR6aHNaRkYGfvSjH+HAgQPYv38/1qxZg8997nM4e/ZsrIcWN44dO4YXX3wR5eXlsR5K3CgsLER9fX3wi5MbkTmdTmzevBmCIOCPf/wjPvzwQzz++OMwGo2xHtqctn///in/1g4cOACRSIQ777wz4rUip9MpXPshXn8nT57EunXrcPr0aWRnZ8d6OHPOhg0bUF5ejqeffjp4bPHixfjkJz+JH/zgBzEcWfzIzMzE448/js997nOxHkrcGRoaQlZWFnbu3IktW7bEejhxJScnBz/4wQ/wxS9+MdZDmfNcLhfWrl2Ln//853j88cdRVlaGJ554ItbDmtN27NiBXbt24YMPPoj1UOLKI488gsOHD/MJyRV68skn8fTTT+P8+fOQy+UznjvvZmApsrGxMZw6dQrr16+fcnz9+vX48MMPYzQqupEMDQ0hEAhAq9XGeihxw+/349VXX4XH48Hy5ctjPZy48MADD+CTn/wk1q5dG+uhxJXW1laUlpaisrISX/rSl9Da2hrrIc15b775JpYsWYIvfvGLKCgowC233IJnn30WgjAv5wivCUEQ8Nvf/hZ33313xPAKAAnXYUw0x9hsNvj9/mmPNoxGI/r6+mI0KrqRPPzww1iwYAGDWBRqa2uxadMmjIyMQKFQ4He/+x0fh0fhxRdfREtLC37961/HeihxZenSpXjmmWdQWFiIgYEBPPHEE9i0aROOHj2KlJSUWA9vzmptbcVvfvMb3H///XjggQdw5swZbN++HQDwta99Lcajiw/79++H1WrF5z//+ajOj4sA++ijj+LJJ5+c8Zzdu3dj9erV12lE84NIJJryvSAI044RXW3f+c53cPToUbz99tuQSCSxHs6cV1hYiEOHDsHlcmHXrl2477778MYbb6CsrCzWQ5uzGhsb8cgjj+Cvf/0rpFJprIcTV2677bYp3y9duhQLFy7Eyy+/jH/913+N0ajmvkAggEWLFgVL8KqqqtDS0oLnnnuOATZKL774IhYvXozKysqozo+LAHvfffdFXJFmNpuv02jin16vh0QimTbbOjAwwIJzuqa+/e1v47XXXsPu3buRk5MT6+HEBalUiry8PADAokWLcOLECTzzzDP4xS9+EeORzV0fffQRbDYbVq5cGTzm9/tx5MgRPP/88+jq6oJMJovhCOOHUqlESUkJWlpaYj2UOS01NRXFxcVTjhUVFaGjoyNGI4ov/f39eOuttyJOVl4sLgKsXq+HXq+P9TDmDalUioULF2L//v1TVvrt378fd9xxR+wGRvPa9u3b8dprr+GNN95gW54rEAgEMDY2FuthzGlbt27FokWLphz7+te/jvz8fDz44IOclZ2FkZERNDY28glnBDfddBOampqmHGtqaoLFYonRiOLLzp07IZPJsG3btqiviYsAOxu9vb3o7e0N/kOqr6+Hy+WCxWKBTqeL8ejmjq9//eu49957sWTJEqxYsQLPP/88enp6uLI5gqGhoeBMRCAQQEdHB2pqaqDT6fg/qhn8+7//O/7whz/gd7/7HbRaLXp7ewEACoUCSqUyxqObu374wx9i06ZNyMzMxNDQEF555RVUV1fjj3/8Y6yHNqdN9pK8mFwuh06nY+lFBN/73vdw++23w2w2B2tgvV4v7rnnnlgPbU67//77sWnTJjz55JPYtm0bampq8Oyzz+I//uM/Yj20OU8QBLz00kvYtm0bVCpV1NfNuzZaO3bswGOPPTbt+C9/+Uu2O7rEc889h5///Ofo7e1FaWkp/uu//gurVq2K9bDmtEOHDuETn/jEtOP33HMP/ud//icGI4oP4boNbN++Hd/+9rev72DiyH333YdDhw6hr68ParUa5eXl+MY3voENGzbEemhxZ+vWrWyjFYUvfelLOHLkCGw2GwwGA5YuXYrvfve7KCkpifXQ5rw9e/bgkUceQVNTE8xmM7761a/i3nvv5dqSCA4ePIg77rgDe/fuxZIlS6K+bt4FWCIiIiKa39gHloiIiIjiCgMsEREREcUVBlgiIiIiiisMsEREREQUVxhgiYiIiCiuMMASERERUVxhgCWieW/nzp3B5vZarRZmsxmrVq3Cs88+C5/PN+t7/fa3v73ssezYsSNsX9yLbd26Fbfffvtlv8+1tGPHDhw4cGDa8fvuu48bBRDRdcEAS0Q3jBdffBHvvvsuXnrpJSxZsgQPPfRQyI1PZvLyyy9j586d12iE8eGxxx7DoUOHYj0MIrqBzbutZImIwlmwYAHy8vIAAOvXr0dLSwt+9atf4bvf/W6MR0ZERLPBGVgiumEtXrwYg4OD6O/vBwCcOXMGn/nMZ5CdnY20tDRs3rwZR44cCZ6/detWHD58GEePHg2WI2zduhUAMDAwgAceeABLlixBeno6ysvL8ZWvfAVdXV3XbPw2mw0PPvggSktLYTKZsGzZMrzwwgtTzpksnzh27Bi++tWvwmKxoKSkBA899BBGRkamnNva2oq77roL6enpKCgowHe/+1288MIL0Gq1sFqtAP6xLfCTTz4Z/Ax27Ngx5T6nT5/Gli1bkJ6ejsWLF+P555+/Zp8BEd2YOANLRDcsq9UKiUQChUKBU6dO4WMf+xgqKyvx9NNPIzk5Gc8//zzuvPNOvPPOO1i4cCF++tOf4mtf+xr8fj+eeuopAIBKpQIAOBwOyGQyfP/734fBYEBPTw9+8YtfYPPmzTh27BiSkpKu6tjdbjc2b96MkZERPPzww8jOzsbevXvx4IMPYnR0FPfee++U8++991586lOfwm9/+1t89NFH+MlPfgKtVovvfOc7AICxsTHceeedGB0dxZNPPgmj0YiXXnoJf/nLX6bc591338Vtt92Gz372s/jiF78IAMjIyAi+Pjg4iK9+9au477778NBDD2Hnzp148MEHUVBQgDVr1lzVz4CIblwMsER0w/D7/fD5fBgaGsLrr7+O3bt34/bbb4dcLsf3v/99mM1m7Nq1C1KpFACwYcMGrFy5Eo8//jhefvlllJSUQKVSwe/3Y9myZVPuXVhYOKWe1u/3Y8WKFaioqMC7776LT3ziE1f1Z/nVr36F9vZ2HDlyBPn5+QCAW2+9FS6XC4899hi+/OUvIyHhH/+L//SnPx0Mq7feeiuOHz+OV199NXjs5ZdfRmtrK/bu3YslS5YAAG677Tbccsst6OjoCN5n8ufOyMiY9hkAEwF2586dwbB68803Y9++fXj11VcZYInoqmEJARHdMJYtWwaDwYCcnBx885vfxF133YVf/vKXGB4exuHDh/HJT34SYrEYPp8PPp8PgiBg7dq1U8oIZvKb3/wGq1atQmZmJvR6PSoqKgAATU1NV/1nmQya2dnZwfH6fD5s2LABdrsd58+fn3L+5s2bp3xfVlY2JZgeO3YMZrM5GF4BQCQS4Y477pjVuORy+ZSgKpPJkJ+fP+W9iIiuFGdgieiG8bvf/Q6ZmZlQKpWwWCzBx/pdXV3w+/144okn8MQTT4S8NhAIQCwO/zv/r3/9a2zfvh1f//rXsWHDBmi1WgQCAWzcuHFarenV0N/fj5aWFhgMhpCv2+32Kd/rdLop30ulUoyOjga/7+3thdFonHYfk8k0q3GFahEmlUqvyWdARDcuBlgiumGUlZUFuxBcTKPRQCwW4ytf+QruueeekNfOFF4B4LXXXsPatWvx4x//OHistbX1isY7k5SUFBiNRvzkJz8J+XpBQcGs7peamjpt1hYA+vr6Lmt8RETXEgMsEd3wFAoFVq5cibNnz6KqqmrGsCqTyWCz2aYd93q9wQVdk65lv9gNGzbg2WefhdlsDjlzOlvLli3Dzp07cfz48WAZgSAI2LVr17RzpVIphoeHr/g9iYguFwMsERGAH//4x9i6dSu2bduGz3/+80hNTYXNZkNNTQ38fj9++MMfAgCKi4vxm9/8Bq+99hpyc3OhVCpRWFiIjRs34qmnnsJPf/pTLFmyBAcPHpy2gn+27HZ7yHuUl5fj/vvvx+uvv44tW7bg/vvvR0FBAbxeLxobG3HkyBH8/ve/n9V7ffazn8VTTz2Fz3/+8/je974Hg8GAl156CS6XC8DUGeji4mK888472LhxI7RaLdLS0pCenn5FPysR0WwwwBIRAVi4cCH27duHxx57DNu3b4fb7YbBYEBlZSW+9KUvBc974IEH0NTUhG984xsYGhrCqlWr8Oabb+Khhx6Cy+XCM888g9HRUaxatQqvvvoqFi5ceNljamhowD//8z9PO/6f//mf+Ld/+ze88847eOyxx/DUU0+hu7sbGo0GhYWFl9XxQCqV4vXXX8dDDz2EBx98EAqFAp/+9KexdOlS/PCHP4RarQ6e+8QTT2D79u34zGc+g9HRUWzfvh3f/va3L/vnJCKaLZHT6RRiPQgiIpqb7r77btTX1+PUqVOxHgoRURBnYImICADwi1/8AkqlEnl5eRgaGsKf//xn7NmzBz/72c9iPTQioikYYImICMDEArVnnnkGHR0d8Pv9KCgowNNPP40vfOELsR4aEdEULCEgIiIiorjCnbiIiIiIKK4wwBIRERFRXGGAJSIiIqK4wgBLRERERHGFAZaIiIiI4goDLBERERHFlf8PJWAoumol41EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_random_init_iris_petal(df_full)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_cluster_iris_sepal(df_full, labels, centers):\n",
    "    # finding mode\n",
    "    seto = max(set(labels[0:50]), key=labels[0:50].count) # 2\n",
    "    vers = max(set(labels[50:100]), key=labels[50:100].count) # 1\n",
    "    virg = max(set(labels[100:]), key=labels[100:].count) # 0\n",
    "    \n",
    "    # sepal\n",
    "    s_mean_clus1 = np.array([centers[seto][0],centers[seto][1]])\n",
    "    s_mean_clus2 = np.array([centers[vers][0],centers[vers][1]])\n",
    "    s_mean_clus3 = np.array([centers[virg][0],centers[virg][1]])\n",
    "    \n",
    "    values = np.array(labels) #label\n",
    "\n",
    "    # search all 3 species\n",
    "    searchval_seto = seto\n",
    "    searchval_vers = vers\n",
    "    searchval_virg = virg\n",
    "\n",
    "    # index of all 3 species\n",
    "    ii_seto = np.where(values == searchval_seto)[0]\n",
    "    ii_vers = np.where(values == searchval_vers)[0]\n",
    "    ii_virg = np.where(values == searchval_virg)[0]\n",
    "    ind_seto = list(ii_seto)\n",
    "    ind_vers = list(ii_vers)\n",
    "    ind_virg = list(ii_virg)\n",
    "    \n",
    "    sepal_df = df_full.iloc[:,0:2]\n",
    "    \n",
    "    seto_df = sepal_df[sepal_df.index.isin(ind_seto)]\n",
    "    vers_df = sepal_df[sepal_df.index.isin(ind_vers)]\n",
    "    virg_df = sepal_df[sepal_df.index.isin(ind_virg)]\n",
    "    \n",
    "    cov_seto = np.cov(np.transpose(np.array(seto_df)))\n",
    "    cov_vers = np.cov(np.transpose(np.array(vers_df)))\n",
    "    cov_virg = np.cov(np.transpose(np.array(virg_df)))\n",
    "    \n",
    "    sepal_df = np.array(sepal_df)\n",
    "    \n",
    "    x1 = np.linspace(4,8,150)  \n",
    "    x2 = np.linspace(1.5,4.5,150)\n",
    "    X, Y = np.meshgrid(x1,x2) \n",
    "\n",
    "    Z1 = multivariate_normal(s_mean_clus1, cov_seto)  \n",
    "    Z2 = multivariate_normal(s_mean_clus2, cov_vers)\n",
    "    Z3 = multivariate_normal(s_mean_clus3, cov_virg)\n",
    "\n",
    "    pos = np.empty(X.shape + (2,))\n",
    "    pos[:, :, 0] = X; pos[:, :, 1] = Y   \n",
    "\n",
    "    plt.figure(figsize=(10,10))                                                          \n",
    "    plt.scatter(sepal_df[:,0], sepal_df[:,1], marker='o')     \n",
    "    plt.contour(X, Y, Z1.pdf(pos), colors=\"r\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z2.pdf(pos), colors=\"b\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z3.pdf(pos), colors=\"g\" ,alpha = 0.5) \n",
    "    plt.axis('equal')                                                                  \n",
    "    plt.xlabel('Sepal Length', fontsize=16)\n",
    "    plt.ylabel('Sepal Width', fontsize=16)\n",
    "    plt.title('Final Clusters(Sepal)', fontsize=22)  \n",
    "    plt.grid()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cluster_iris_sepal(df_full, labels, centers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_cluster_iris_petal(df_full, labels, centers):\n",
    "    # petal\n",
    "    p_mean_clus1 = np.array([centers[seto][2],centers[seto][3]])\n",
    "    p_mean_clus2 = np.array([centers[vers][2],centers[vers][3]])\n",
    "    p_mean_clus3 = np.array([centers[virg][2],centers[virg][3]])\n",
    "    \n",
    "    petal_df = df_full.iloc[:,2:4]\n",
    "    \n",
    "    seto_df = petal_df[petal_df.index.isin(ind_seto)]\n",
    "    vers_df = petal_df[petal_df.index.isin(ind_vers)]\n",
    "    virg_df = petal_df[petal_df.index.isin(ind_virg)]\n",
    "    \n",
    "    cov_seto = np.cov(np.transpose(np.array(seto_df)))\n",
    "    cov_vers = np.cov(np.transpose(np.array(vers_df)))\n",
    "    cov_virg = np.cov(np.transpose(np.array(virg_df)))\n",
    "    \n",
    "    petal_df = np.array(petal_df) \n",
    "    \n",
    "    x1 = np.linspace(0.5,7,150)  \n",
    "    x2 = np.linspace(-1,4,150)\n",
    "    X, Y = np.meshgrid(x1,x2) \n",
    "\n",
    "    Z1 = multivariate_normal(p_mean_clus1, cov_seto)  \n",
    "    Z2 = multivariate_normal(p_mean_clus2, cov_vers)\n",
    "    Z3 = multivariate_normal(p_mean_clus3, cov_virg)\n",
    "\n",
    "    pos = np.empty(X.shape + (2,))\n",
    "    pos[:, :, 0] = X; pos[:, :, 1] = Y   \n",
    "\n",
    "    plt.figure(figsize=(10,10))                                                         \n",
    "    plt.scatter(petal_df[:,0], petal_df[:,1], marker='o')     \n",
    "    plt.contour(X, Y, Z1.pdf(pos), colors=\"r\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z2.pdf(pos), colors=\"b\" ,alpha = 0.5) \n",
    "    plt.contour(X, Y, Z3.pdf(pos), colors=\"g\" ,alpha = 0.5) \n",
    "    plt.axis('equal')                                               \n",
    "    plt.xlabel('Petal Length', fontsize=16)\n",
    "    plt.ylabel('Petal Width', fontsize=16)\n",
    "    plt.title('Final Clusters(Petal)', fontsize=22)\n",
    "    plt.grid()\n",
    "    plt.show()\n",
    "\n",
    "plot_cluster_iris_petal(df_full, labels, centers)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
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