{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>.container { width:80% !important; }</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "from IPython.display import display, HTML\n",
    "display(HTML(\"<style>.container { width:80% !important; }</style>\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TU257 - Lab 10-1 - Clustering - Demo Notebook (1)\n",
    "##### In this notebook we will look at two simple examples of Clustering\n",
    "##### First will look at generating a simple random data set and apply clustering to it.\n",
    "##### The second example will look at applying Clustering to the Iris data set\n",
    "##### ---\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "#load the libraries we need for this example\n",
    "from sklearn.cluster import KMeans\n",
    "import pandas as pd\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "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>Name</th>\n",
       "      <th>Age</th>\n",
       "      <th>Income($)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Rob</td>\n",
       "      <td>27</td>\n",
       "      <td>70000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Michael</td>\n",
       "      <td>29</td>\n",
       "      <td>90000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Mohan</td>\n",
       "      <td>29</td>\n",
       "      <td>61000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Ismail</td>\n",
       "      <td>28</td>\n",
       "      <td>60000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Kory</td>\n",
       "      <td>42</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Name  Age  Income($)\n",
       "0      Rob   27      70000\n",
       "1  Michael   29      90000\n",
       "2    Mohan   29      61000\n",
       "3   Ismail   28      60000\n",
       "4     Kory   42     150000"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#load a simple dataset into a Pandas DF\n",
    "#\n",
    "#You will need to change the directory to the location on your computer\n",
    "df = pd.read_csv(\"/Users/brendan.tierney/Dropbox/4-Datasets/income.csv\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(22, 3)"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Income($)')"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's plot the data\n",
    "#As 'Name' doesn't have any meanful value/information, we will just plot Age against Income\n",
    "plt.scatter(df.Age,df['Income($)'])\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Income($)')\n",
    "\n",
    "#Visually we can see the data forms some groupings/clusters - it looks like 3 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2],\n",
       "      dtype=int32)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Now create a K-means model containing 3 clustsers\n",
    "km = KMeans(n_clusters=3)\n",
    "y_predicted = km.fit_predict(df[['Age','Income($)']])\n",
    "#display the predicted clusters\n",
    "y_predicted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "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>Name</th>\n",
       "      <th>Age</th>\n",
       "      <th>Income($)</th>\n",
       "      <th>cluster</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Rob</td>\n",
       "      <td>27</td>\n",
       "      <td>70000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Michael</td>\n",
       "      <td>29</td>\n",
       "      <td>90000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Mohan</td>\n",
       "      <td>29</td>\n",
       "      <td>61000</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Ismail</td>\n",
       "      <td>28</td>\n",
       "      <td>60000</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Kory</td>\n",
       "      <td>42</td>\n",
       "      <td>150000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Name  Age  Income($)  cluster\n",
       "0      Rob   27      70000        0\n",
       "1  Michael   29      90000        0\n",
       "2    Mohan   29      61000        2\n",
       "3   Ismail   28      60000        2\n",
       "4     Kory   42     150000        1"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Add the clusters to the original DF, to have all the data together\n",
    "df['cluster']=y_predicted\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3.40000000e+01, 8.05000000e+04],\n",
       "       [3.82857143e+01, 1.50000000e+05],\n",
       "       [3.29090909e+01, 5.61363636e+04]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#We can examine different aspects of the model\n",
    "#Here we list the Centroids for the 3 clusters\n",
    "km.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fad11ab9f60>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Now plot the DF and include the clusters\n",
    "#\n",
    "#Separte out each Cluster, as this will allow us to format the data in different wasy\n",
    "df1 = df[df.cluster==0]\n",
    "df2 = df[df.cluster==1]\n",
    "df3 = df[df.cluster==2]\n",
    "\n",
    "#Assign each Cluster to have a different colour\n",
    "plt.scatter(df1.Age,df1['Income($)'],color='green')\n",
    "plt.scatter(df2.Age,df2['Income($)'],color='red')\n",
    "plt.scatter(df3.Age,df3['Income($)'],color='black')\n",
    "\n",
    "#Format the centroids to be different to the data points\n",
    "plt.scatter(km.cluster_centers_[:,0],km.cluster_centers_[:,1],color='purple',marker='+',label='centroid')\n",
    "#Add labels for the x and y axis\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Income ($)')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "#The data and these initial results can look a bit odd\n",
    "#The reason for this is the x-axis and y-axis are using different scales\n",
    "#This means we need to look at transforming the data to make them on a same/similar scale\n",
    "#To transform the data we can use a MinMaxScaler to transform the data into the range [0, 1]\n",
    "scaler = MinMaxScaler()\n",
    "\n",
    "scaler.fit(df[['Income($)']])\n",
    "df['Income($)'] = scaler.transform(df[['Income($)']])\n",
    "\n",
    "scaler.fit(df[['Age']])\n",
    "df['Age'] = scaler.transform(df[['Age']])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Name</th>\n",
       "      <th>Age</th>\n",
       "      <th>Income($)</th>\n",
       "      <th>cluster</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Rob</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.213675</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Michael</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.384615</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Mohan</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.136752</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Ismail</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.128205</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Kory</td>\n",
       "      <td>0.941176</td>\n",
       "      <td>0.897436</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Name       Age  Income($)  cluster\n",
       "0      Rob  0.058824   0.213675        0\n",
       "1  Michael  0.176471   0.384615        0\n",
       "2    Mohan  0.176471   0.136752        2\n",
       "3   Ismail  0.117647   0.128205        2\n",
       "4     Kory  0.941176   0.897436        1"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Disply the transformed DF\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Income($)')"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot the transformed data\n",
    "plt.scatter(df.Age,df['Income($)'])\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Income($)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2],\n",
       "      dtype=int32)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Re-run the K-means on the transformed data\n",
    "km = KMeans(n_clusters=3)\n",
    "y_predicted = km.fit_predict(df[['Age','Income($)']])\n",
    "y_predicted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Name</th>\n",
       "      <th>Age</th>\n",
       "      <th>Income($)</th>\n",
       "      <th>cluster</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Rob</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.213675</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Michael</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.384615</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Mohan</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.136752</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Ismail</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.128205</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Kory</td>\n",
       "      <td>0.941176</td>\n",
       "      <td>0.897436</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Name       Age  Income($)  cluster\n",
       "0      Rob  0.058824   0.213675        1\n",
       "1  Michael  0.176471   0.384615        1\n",
       "2    Mohan  0.176471   0.136752        1\n",
       "3   Ismail  0.117647   0.128205        1\n",
       "4     Kory  0.941176   0.897436        0"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Add the cluster number of the DF\n",
    "df['cluster']=y_predicted\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.72268908, 0.8974359 ],\n",
       "       [0.1372549 , 0.11633428],\n",
       "       [0.85294118, 0.2022792 ]])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Display the Centroids\n",
    "km.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7facf212ef50>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot the transformed data & the centroids\n",
    "df1 = df[df.cluster==0]\n",
    "df2 = df[df.cluster==1]\n",
    "df3 = df[df.cluster==2]\n",
    "plt.scatter(df1.Age,df1['Income($)'],color='green', label='Cluster-1')\n",
    "plt.scatter(df2.Age,df2['Income($)'],color='red', label='Cluster-2')\n",
    "plt.scatter(df3.Age,df3['Income($)'],color='black', label='Cluster-3')\n",
    "plt.scatter(km.cluster_centers_[:,0],km.cluster_centers_[:,1],color='purple',marker='+',label='centroid')\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Income($)')\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Elbow Method - to determine the optiomal number of clusers\n",
    "#Run this for Clusters ranging from 1 to 9\n",
    "wsse = []\n",
    "k_rng = range(1,10)\n",
    "for k in k_rng:\n",
    "    km = KMeans(n_clusters=k)\n",
    "    km.fit(df[['Age','Income($)']])\n",
    "    wsse.append(km.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fad0f734eb0>]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot the Elbow chart\n",
    "plt.xlabel('num Clusters')\n",
    "plt.ylabel('Sum of squared error')\n",
    "plt.plot(k_rng,wsse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise: Add additional code to example the centroids created by K-means vs K-means++"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### ----------\n",
    "#### Example demonstrating different between K-means & K-means++ for selecting initial centroids\n",
    "#### ----------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[59.         48.        ]\n",
      " [45.36363636 17.09090909]\n",
      " [31.14285714 72.42857143]\n",
      " [25.28571429 46.85714286]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example of Centroids using K-means vs K-means++ : num clusters = 4\n",
    "#This code will run the K-means algorithm\n",
    "\n",
    "from pandas import DataFrame\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "Data = {'x': [25,34,22,27,33,33,31,22,35,34,67,54,57,43,50,57,59,52,65,47,49,48,35,33,44,45,38,43,51,46,33,67,98,11,34,21],\n",
    "        'y': [79,51,53,78,59,74,73,57,69,75,51,32,40,47,53,36,35,58,59,50,25,20,14,12,20,5,29,27,8,7,45,21,67,44,33,45]\n",
    "       }\n",
    "  \n",
    "df = DataFrame(Data,columns=['x','y'])\n",
    "  \n",
    "kmeans = KMeans(n_clusters=4).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "print(centroids)\n",
    "\n",
    "plt.rcParams['figure.figsize'] = 9, 7\n",
    "\n",
    "plt.title('K-means - Centroids')\n",
    "plt.xlabel('x-axis Data Points')\n",
    "plt.ylabel('y-axis Data Points')\n",
    "\n",
    "plt.scatter(df['x'], df['y'], c= kmeans.labels_.astype(float), s=50, alpha=0.5)\n",
    "plt.scatter(centroids[:, 0], centroids[:, 1], c='red', s=50)\n",
    "plt.show()    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[28.11111111 48.22222222]\n",
      " [61.33333333 49.88888889]\n",
      " [30.83333333 74.66666667]\n",
      " [46.08333333 18.33333333]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example of Centroids using K-means++ : num clusters = 4\n",
    "kmeans = KMeans(n_clusters=4, init='k-means++').fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "print(centroids)\n",
    "\n",
    "plt.rcParams['figure.figsize'] = 10, 8\n",
    "\n",
    "plt.title('K-means++ - Centroids')\n",
    "plt.xlabel('x-axis Data Points')\n",
    "plt.ylabel('y-axis Data Points')\n",
    "\n",
    "plt.scatter(df['x'], df['y'], c= kmeans.labels_.astype(float), s=50, alpha=0.5)\n",
    "plt.scatter(centroids[:, 0], centroids[:, 1], c='red', s=50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 2 - Iris Data Set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn import datasets\n",
    "from sklearn.datasets import load_iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "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",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5.4</td>\n",
       "      <td>3.9</td>\n",
       "      <td>1.7</td>\n",
       "      <td>0.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>4.4</td>\n",
       "      <td>2.9</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.1</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\n",
       "5                5.4               3.9                1.7               0.4\n",
       "6                4.6               3.4                1.4               0.3\n",
       "7                5.0               3.4                1.5               0.2\n",
       "8                4.4               2.9                1.4               0.2\n",
       "9                4.9               3.1                1.5               0.1"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#read the Iris dataset into DF\n",
    "iris_ds = datasets.load_iris()\n",
    "df = pd.DataFrame(load_iris().data, columns=load_iris().feature_names)\n",
    "\n",
    "#display the data\n",
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 150 entries, 0 to 149\n",
      "Data columns (total 4 columns):\n",
      " #   Column             Non-Null Count  Dtype  \n",
      "---  ------             --------------  -----  \n",
      " 0   sepal length (cm)  150 non-null    float64\n",
      " 1   sepal width (cm)   150 non-null    float64\n",
      " 2   petal length (cm)  150 non-null    float64\n",
      " 3   petal width (cm)   150 non-null    float64\n",
      "dtypes: float64(4)\n",
      "memory usage: 4.8 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x7fad0f92fca0>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.pairplot(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Write more code to Analyse the dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Apply Elbow method and calculate : Using K-means++\n",
    "wcss = []\n",
    "K = range(1,11)\n",
    "for i in K:\n",
    "    # kmeanModel = KMeans(n_clusters=k)\n",
    "    # kmeanModel.fit(df)\n",
    "    # wcss.append(kmeanModel.inertia_)\n",
    "    \n",
    "    kmeans = KMeans(n_clusters=i,init='k-means++',max_iter=300,n_init=10,random_state=0)\n",
    "    kmeans.fit(df)\n",
    "    wcss.append(kmeans.inertia_)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "None\n"
     ]
    }
   ],
   "source": [
    "#Plot the Elbow chart\n",
    "plt.plot(range(1,11),wcss)\n",
    "plt.title('The Elbow Method')\n",
    "plt.xlabel('Number of clusters')\n",
    "plt.ylabel('WCSS')\n",
    "print(plt.show())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "None\n"
     ]
    }
   ],
   "source": [
    "#Let's plot this again, changing the size\n",
    "plt.rcParams['figure.figsize'] = 10, 8\n",
    "\n",
    "#Plot the Elbow chart\n",
    "plt.plot(range(1,11),wcss)\n",
    "plt.title('The Elbow Method')\n",
    "plt.xlabel('Number of clusters')\n",
    "plt.ylabel('WCSS')\n",
    "print(plt.show())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question: What is the best Cluster number to use?\n",
    "#### Change the code below for your number of clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Now let's create the final Cluster model for the Iris dataset\n",
    "#change the value for number of clusters\n",
    "num_clusters = 3\n",
    "\n",
    "ran=8\n",
    "kmeans_model = KMeans(n_clusters=num_clusters,init='k-means++',max_iter=300,n_init=10,random_state=ran) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([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, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 1, 1, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0,\n",
       "       0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0,\n",
       "       0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], dtype=int32)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Next, apply that new Clustering model to the dataset\n",
    "y_Kmeans = kmeans_model.fit_predict(df)\n",
    "\n",
    "#Display the results\n",
    "y_Kmeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "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": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "      <th>CLUSTER_NUM</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>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",
       "      <td>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",
       "      <td>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",
       "      <td>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",
       "      <td>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   \n",
       "\n",
       "   CLUSTER_NUM  \n",
       "0            2  \n",
       "1            2  \n",
       "2            2  \n",
       "3            2  \n",
       "4            2  "
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Add the cluster number to the DF\n",
    "y_df = pd.DataFrame(kmeans_model.predict(df))\n",
    "df2 = df\n",
    "df2[\"CLUSTER_NUM\"] = y_df\n",
    "#Display the new DF\n",
    "df2.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[6.85      , 3.07368421, 5.74210526, 2.07105263],\n",
       "       [5.9016129 , 2.7483871 , 4.39354839, 1.43387097],\n",
       "       [5.006     , 3.428     , 1.462     , 0.246     ]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans_model.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7facf3acb280>"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = 9, 7\n",
    "\n",
    "plot_df1 = df2[df2.CLUSTER_NUM==0]\n",
    "plot_df2 = df2[df2.CLUSTER_NUM==1]\n",
    "plot_df3 = df2[df2.CLUSTER_NUM==2]\n",
    "plt.scatter(plot_df1['petal length (cm)'], plot_df1['petal width (cm)'], color='green', label='Cluster-1')\n",
    "\n",
    "plt.scatter(plot_df2['petal length (cm)'], plot_df2['petal width (cm)'],color='red', label='Cluster-2')\n",
    "plt.scatter(plot_df3['petal length (cm)'], plot_df3['petal width (cm)'],color='black', label='Cluster-3')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercises\n",
    "#### Add a chart title, x-axis title and y-axis title\n",
    "#### Change the columns used for the above chart to see what different it makes. \n",
    "#### Is there a better selection of columns to get a better chart and for explainablility"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### ----------\n",
    "#### Calculate & Display the Silhouette values\n",
    "#### ----------\n",
    "The silhouette value is a measure of how similar an object is to its own cluster (cohesion) compared to other clusters (separation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters = 2 The average silhouette_score is : 0.6812480399631204\n",
      "For n_clusters = 3 The average silhouette_score is : 0.6128676734836785\n",
      "For n_clusters = 4 The average silhouette_score is : 0.5623519391324965\n",
      "For n_clusters = 5 The average silhouette_score is : 0.41317442932087506\n",
      "For n_clusters = 6 The average silhouette_score is : 0.3934752726251412\n",
      "For n_clusters = 7 The average silhouette_score is : 0.32808478719571044\n",
      "For n_clusters = 8 The average silhouette_score is : 0.3509907799984096\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import silhouette_samples, silhouette_score\n",
    "\n",
    "\n",
    "range_n_clusters = [2, 3, 4, 5, 6, 7, 8]\n",
    "silhouette_avg = []\n",
    "for num_clusters in range_n_clusters:\n",
    " \n",
    " # initialise kmeans\n",
    " kmeans = KMeans(n_clusters=num_clusters, init='k-means++', random_state=142)\n",
    " kmeans.fit(df2)\n",
    " cluster_labels = kmeans.labels_\n",
    " \n",
    " print(\"For n_clusters =\", num_clusters, \"The average silhouette_score is :\", silhouette_score(df2, cluster_labels))\n",
    " # silhouette score\n",
    " silhouette_avg.append(silhouette_score(df2, cluster_labels))\n",
    "    \n",
    "plt.plot(range_n_clusters,silhouette_avg)\n",
    "plt.xlabel('Values of K') \n",
    "plt.ylabel('Silhouette score') \n",
    "plt.title('Silhouette analysis For Optimal k')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters = 2 The average silhouette_score is : 0.6812480399631204\n",
      "For n_clusters = 3 The average silhouette_score is : 0.6128676734836785\n",
      "For n_clusters = 4 The average silhouette_score is : 0.5623519391324965\n",
      "For n_clusters = 5 The average silhouette_score is : 0.41317442932087506\n",
      "For n_clusters = 6 The average silhouette_score is : 0.3934752726251412\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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27NljVn3p5cexa+5+mJX0rbfr1auHTp06QavV4u7duzh58qTR3ReOjo4ICQlB1apVpVbUkZGR2LFjB65cuYLk5GSMHz8ely9fNlnfrVu34ObmhnfeeQc3b96UWpteu3ZNarnYt29fHD16FAcPHgSgbxl84sQJNGzY0OQ69+/fjwEDBqB06dLYtGkTrl69CgDYsmULVq1ahf79+2e5DVJTU9G9e3fcuXMHAODp6Yl+/frB2dkZv/76K06dOoW4uDj07t0b169fh7u7e5bri4+Px5AhQ6T/YQqFAkOGDIGLiwtWrVplsjuxNJ6enihfvjwCAgLg6uoKmUyGiIgIrF+/HpGRkYiIiMCsWbOwaNEi6dzg999/l1oPu7i44IMPPpDWl9aXv0KhQO3atVGnTh24u7vDyckJsbGxOHr0KPbv3w8A+PTTTzF06FCjvvIzql69OkqWLCm1rj5y5Ah69OiBY8eOITU1VSqX/v9C+gGhM96dlZG550UZXbt2Dfb29hg3bhx0Oh2WLFmC1NRUCCHwv//9D23atMmyXlPMPX8x1+TJk7F7927pdZkyZdC1a1doNBpcuHABO3bsyHGM5tq/fz+uXbsGAFCr1dJn/fDhQ9y4cUM63oD/+s6ePXu2dEdB69atjbZhfhw7169fh0wmQ69evVC9enWEh4fDwcEhX78/LW3MmDF48uQJfHx8sHDhQmzdutXaIRERWY41s9xEVDwkJyeLGjVqZNkyICQkRFy9etVgufxo0dywYUORkpIihBAiMjLSoCXN119/LS2XPr6yZcsatM6aOXOmwTqPHDlisi5zWzR3795dmt62bVuh0+mkebt37zZoYXP37l1pXlatU9Jk1Uoxr/Vn59GjR2Lr1q1i0aJF4ssvvxTz5s0T1apVk9Y3ZMgQqWxuP6c0t2/fFhs3bhTffvutVJevr6+0zMyZM83aJrNnz5am16pVS5r+1VdfSdPr1q0rTR8/frw0fc6cOUZxPXv2TDx79kx6nVnruPnz50vTR44cabSe2NhYqQVYdrLbDydMmCDNs7GxEZcvX5bmHTp0yGDZWbNmSfMytjrNrPVxZrJqSbd+/focLbt9+3YxZcoU6fWhQ4eEp6enACCqVq0qhBAG5dMfb5MmTZKmV69eXSQlJUnzrl69arDc0aNHDeJITk4Whw4dEsuWLRNfffWVmDdvnhg8eLBUXqVSieTkZJPbzMbGRpw/f16al77Vde3ataXpOd2nMpOxBWHnzp2lYyrNv//+m+k2zmuL5tzs0+nrT2tVmd7ChQul+R4eHgZ3HTx//tygpe/q1atNxp/Zvmtui2YA4ttvv5XmLViwwGBeTEyMEEKIY8eOGUxPa/UnhP4zTN9C19wWzflx7Jq7H2YlKChIWub48eNG82/duiVSU1MNpqWmpoqTJ0+KsLAwsWDBAjFv3jyju4bu3Lkjlc/YOjLte1an0wlvb29pukKhkJaLiooSCoXC5HdFxvOHzz77TJoXHR0tSpYsKc1r1qyZNC+z/Xvr1q3SdKVSKcLDw6V5SUlJBq0109eVmbVr1xrE98MPPxhsz/Tvy9T3fVxcnNizZ49YunSpmD9/vpg3b57BnR8BAQEG5bNqqZ3RtWvXxM8//yy++eYb6fs1favRtLtKstOjRw9pmQkTJgghhPjoo48EoL9TANDfTZSUlCTu3btnsD3S3/mW1bmPOedFGfetX3/9VZo3ceJEabqrq6tZ7yuv5y9ZiYyMNGjlXqdOHREbG2tQJv3/8fxu0bx582ZpWtu2bY3iS0xMFPfu3TOYltXde0Lk/tjJ+LktWrTIaN359f0phBCXLl0S8+bNM/vx888/m7VeIYT4+eefpTh37NghhDD+DNiimYiKErZoJiKLUygUOHjwIGbNmoWwsDCD/gPT7N+/H23atMGlS5eg0Wjyre6hQ4dCLtf/q3N1dUXJkiWlfh7TWmDExcXh/Pnz0jK9evWCWq2WXg8cOBCffPKJ9PrYsWNo0qRJrmNK32ryt99+y7R/WSEETpw4gZ49e+a6roKoPyEhAWPGjMHKlSsN+unM6N69e5nOM+dzAvStCwcOHJhti56s6kpv+PDhmDlzptQq+vTp06hTpw42bNgglRk8eLD0vFmzZvj6668BAB999BG2b9+OwMBABAYGokGDBmjWrBlsbW2zrbdJkyaQyWQQQmDp0qU4deoUqlSpgsDAQNStWxchISEmWyfmxrFjx6TndevWReXKlQ3eT9myZXHr1i2jsunVqFED7du3z5d4AP22a9KkCXx8fMxeZsyYMZg/fz50Oh3eeOMNaf8YN25clsul398vXrxostVrmmPHjkmDN65evRoTJ040+f8qTVJSEp4+fQpvb2+jeY0aNUJQUJD0On0/pen36fzap9K/TwD4+OOPpWMqjaXuHAEss0+nf0+PHz9GiRIlMi177Ngx9O3b12h6XvddW1tbDB06VHqdsb/Z58+fQ6PRGLQkB4A333xTeu7i4oKuXbtKfeGaKz+OXXP3w6w0a9YMFy5cAKBvsdioUSNUqFABVapUQfPmzVG9enWD8n/88QeGDRsmtWDMzL1791CqVCmj6f7+/tJ3rEwmg7+/Px48eABAv5+lLePs7AwPDw+pD9as3s+AAQOk505OTujcuTOWL18OAFKL2Kyk3xeTk5Oz7Gc7s88ivYx1pt93y5Qpg6ZNm0qtiDOaP38+pk2bZtB6PqPc9EsbHh6Ofv36ZRu/ud+vISEhUmv0I0eOGPwdNWoU5s6di4SEBJw+fdqgn19fX19UrFgxx/Gbw9fXFx07dpRe5+Z4yMjc8xdznDx50mBMi/feew8ODg4GZSz5f7xevXpQqVRISkrCb7/9hqpVqyIoKAgVK1ZErVq1EBoamm1r9ozy49hxdXU1GscFyL/vT8ByA5A/fvwYb731FgD9+WSHDh3yvQ4iosKGiWYiKhDOzs6YN28evvjiC/z99984ceIE9u/fj19++QUJCQkAgDt37mDz5s0mB2bLrYwDpaVPMqUlRaOiogzKeHh4GLzOmBzJ7MJBZBiELv2gZenlZICYtFvR81N+1z916lSzEiiZbQ/AvM8J0F/QmXPbaFZ1pVeyZEn06dNHGlDohx9+gKenp3TbskqlwhtvvCGV79mzJ6ZMmYJvvvkGSUlJOHbsmMGFkb+/P3bs2JHtxUr9+vUxf/58fPzxx4iNjcWZM2dw5swZg7g2bNhgNIBPbqTfXzPu24B+/05LVmW2b+fHRX9AQABu3rwJAPjnn3/QvHlz7N+/32SiyZSyZcuiY8eO2L59u5REKVGiRLa3vOdmfz9z5gzefPPNLH84SZPZvmbuPp1f+1TG95nTAecyY+7/NUvs0/nxvyqv+66np6fBD48Zf6jI7HvEy8sry9fmyI9j19z9MCuzZ8/GzZs3sWvXLsTGxuKPP/4wGMQtODgYO3fuhL29Pe7fv49u3bpJt7NnJbN9KWMiK33MGeel/zElq/eT1fd6QkICkpKSsvwRKr+/N9PvLxqNBnZ2dpnGl94vv/yCt99+O9v1m/sdmF63bt0MfnTP67rTd39x7tw5PHv2DH/++ScA/Q8We/fuxYkTJ3DkyBFpP864XH7L6njI+L8uP9Zp7jGWxtr/x/38/BAWFoZx48bh6dOnuHz5skEXN46Ojvjhhx/Qp08fs+vOj2OnXLlyJhPG+fX9CQB///03du3aZXaspUqVMms7fPzxx3j69Cn8/Pzw1Vdfmb1+IqJXGRPNRFSgbGxsUL16dVSvXh3Dhw/H2bNnUbt2bWl+bkZtz0rGfmQzjoINwKiV3OPHjw1ep7VMSZPW53HGlsBpCXMAePHihdFy6ZdPO5kOCQnJsnVDTvv2M0d+179u3TrpeUhICJYuXYqyZcvC1tYWvXv3NmgdnBlzPqe4uDiDUe9ff/11zJs3Dz4+PrCxsUH9+vVx6tSpbOvKaNy4cVKiec2aNfDz85Muyrp16yZ93mnmzZuHjz76CMeOHcPVq1fxzz//YNu2bbh//z5u376NsWPHZjrafXoTJ07EiBEjcOLECfz999+4fv06du/ejevXr+Pp06cYNGgQwsPDc/x+Mkoff8Z9GzDcvzO+1zT29vZ5juOjjz7CX3/9hUWLFgEA/v33XwQHB2Pfvn1mX0yPGzcO27dvl14PGTLEqLVXRunfU40aNbJMTKf1VbphwwYpQeDg4ICNGzciODgYdnZ22Llzp0GLuMyYs0+nyY99ytXV1eB1eHh4tv3EZib9/7b0/9cAfV+ZmcnvfTr9Z1e6dOksW69nbGmcJq/7rrmfo6nvkfSfycOHD3Ncd34cuznZDzPj5OSEnTt34t69ezhx4gT++ecfXL58GVu2bEF8fDwOHjyIuXPnYvr06di+fbuUZJbJZFi1ahU6d+4MjUaDy5cvm5Xwyar/94yt9M31+PFjgx+10m87tVqdZZIZMNy+jo6OmDZtWqZlzflRIf3+8uLFCyQkJBgkmzM7f0j/fevj44NNmzahVq1aUKlUWLRoEcaOHZtt3aZcu3bNIMk8adIkvP/++3B3d4dMJoOHh0eOf/iuUqUKPD098ejRI6SmpuLbb79FfHw8FAoF6tevj2bNmuHEiRM4fPhwgSWa8+N4sOQ6Tf0fT/teyqnc/h9//fXX0aNHD/z555+4ePEirl+/jv379+Ps2bOIjY3F0KFD0alTp2y/e9Pkx7GT1f/x/DonO3XqlMG4AdkJDg42K9Gcdizfu3cvy7tyypYtC0DfR31+/cBARGQtTDQTkcWtWLECiYmJ6Nu3r1G3GI6OjgavszoJsxQHBwfUqFFDusjauHEjZsyYIbViS0tCpkm7tT5twKo0J0+elJK28+bNy7R1TOPGjaVBQB4+fIjRo0cbnbDHxMRg165dBgMppr+Yyay1WMYLHlPlclt/ZiIjI6XnnTp1Qvny5QHoL+wzu/U3N6Kjow0GEerVqxf8/PwAAFeuXDGrJZYpderUQcOGDXHixAnExMRg1qxZ0rz03WYA+gsAFxcXlChRAu3bt5duyW/Tpg1ee+01ADC6hd6U+/fvw9bWFp6enmjZsiVatmwJAAY/vNy+fRuRkZFwc3PL1ftK07hxYykB/9dff+HKlSvSLfgZL/DT9m1LkMlk+O6776BUKrFgwQIA+u0ZHByM/fv3m3U7cKtWrVCpUiVcvXoVNjY2ZiVV0r//Bw8eoH///kYXs4mJidiwYQOCg4MBGO7TAQEBaNeunfT6559/zrbOnMivfSpjdz6fffYZNm7caJCYu337tlHrO1PS/x8+e/YskpOToVQqceXKFYNEf3q52aflcrl0m3hm/6vSfqh69OgROnbsaNB9BABotVr8+uuvaNq0abbvy5IyJoN+/vlnTJ8+HYC+tXFuBn4qLMfupUuXEBgYCD8/P4OulCZMmCDdtp62j6Y/dpydnfH6669LCa/8PnZy4qeffpIGwIuJiTHYj9MGocxK+u0bGxuL2rVrS/t4GiEE9u3bZ9b/sox1rlmzRuqiJTw8XOpiIqP02zftuwvQt5zN6kfd7M4f0q8XAPr37y+1At+3b1+u765q0aKFlBz/5ptvAOjfu52dHZo1a4Z58+bhwIEDBt2AZNyuWTHnvOhV0qBBA4P/i/PmzUOnTp0MfoTIzf/xa9euITo6Gs7Oznj48CFWrlxpcplnz57hxYsXUvc1ad8rz58/l5LgcXFxuHr1KurUqQMg+88gv4+d9PLr+5OIiPIXE81EZHG3bt3CjBkzMHHiRDRr1gw1a9aEi4sLHj9+bNA6RyaT5WrE7/wwadIkDBo0CABw8+ZNNGjQAF27dsWtW7ewevVqqVz9+vWlE29nZ2dUqFBBahkya9YsXLhwAdHR0VkmWN9++21s27YNQghcuXIF1apVw2uvvYaSJUvi2bNnOHfuHA4fPgwvLy+D1hLpbxk+ffo0JkyYgFKlSkGpVGL8+PFGZQB9v7bt2rWDXC5Hly5dULFixVzXn5nAwEBcunRJ2gaPHj2CTCbDTz/9lGX/tjnl4eGBEiVKSLccT5gwQWphExYWhuTk5Fyve9y4cdLo5ImJiQD0t5C2bt3aoNy6deswbdo0tGjRAhUqVIC3tzfi4uKwdu1aqYw5P5YcOnQI/fr1Q9OmTVG5cmX4+PggNTUVmzdvlsoolUqj26lzY8yYMVi8eDGSk5Oh0+kQHByMgQMHQqvV4scff5TKaTQaDBs2LM/1Zeerr76CQqHAvHnzAOi7zGnevDn27duXbTcHMpkM69evx7///guNRmPWRem4ceOwZMkSJCUl4fHjx6hRowZ69+4NHx8fxMTE4OLFizh48CBiY2OlflzTt469ePEi+vTpg2rVquHAgQPYt29fHt69sfzap4KCgtC2bVv89ttvAICtW7eidu3aaN++PRQKBc6fP4/Lly/j33//zXZddevWxZYtWwDo7zKpV68eKlWqhN9++y3T4yw3+7Svr6/UN+v//vc/REZGws7OTuoLdNCgQZg1axYiIyORlJSEhg0bonfv3ihbtiwSEhJw+fJlHDhwAM+ePZMSDtbSoEEDBAUFSX0Zz5w5Ezdv3kTp0qWxfv36XPX/WliO3SlTpuDPP/9EaGgoSpUqBXd3d9y/f1/q4xj4bx9Nf+xERUWhffv2aNasGU6fPo1ffvnFYjFm56OPPsLVq1fh7++PjRs3Gnw3DR8+PNvlO3XqhMDAQFy7dg0A0LFjR/To0QOVKlWCVqvFP//8gwMHDuDBgwfYv3+/1DoxM126dIG7u7uUwB0zZgxOnToFFxcXrFq1CikpKSaXCwwMlLot2bFjB4YPHw5fX1/s2LEjy76m058bPHnyBIMHD0aVKlUgk8kwduxYlC9fHjY2NtKdHP3798frr7+OBw8e5Lhv8fRCQkKk87y0bZ72o1DTpk0hk8nw4sULqXyZMmVy1JrTnPOiV4mrqyuGDh2K77//HoC+lW3VqlXRrVs3ODk54fLly9i6datZ3Zek/zEjJiYGderUQb169XDgwIFMfzj4559/0KhRI9SrVw81atSAj48P5HI5du/ebVAu/XeSr6+vdDdiWFgY1Go1nJycUK5cOXTv3j3fj5308uv7EwAGDRokXQfkp8aNG5u8E+P27dsGx2z79u1hb29vdktxIqJCzRojEBJR8ZJ+tPOsHu+9957BcpmNii2EEMHBwdL0gQMHStOzGoFbiKxHx04/erWpR0BAgNGo0N9//73JsjVr1hTu7u6Z1vX1118bjExu6pFxZPizZ88KGxsbo3IODg4G5WrXrm1yfRs2bMhT/ZlZu3atyeW9vb1F69atpdfpRz3P7ef0+eefm6yrWrVqok6dOib3if3792c7sndycrLw8vIyKPfBBx8YlZszZ062+/HChQul8un3/fTbM7Ntlv4xefJks7Z/dtsyrT6VSpVpXQ4ODmLnzp0Gy2R2jJkr43Zfvny5wfwPP/zQaH+5cuWKyWW3b9+ebX3py2c83jZu3Cjs7Oyy3eZpIiMjhY+Pj8kyAwcOzHR/ymqbZbYv5HSfysqTJ08MjoOsjumsjosHDx4IFxcXo+VVKpVo3rx5vu3TkyZNMllu7NixUpnDhw8LV1fXbNdt7ueQJqvjJrPPKrvtdurUKeHo6Ghyu7Vs2VJ6XbZs2ew+SoPtmp/HblbvLTNt27bNctur1Wpx8uRJIYT+f2n16tXNOnbSb/P089J/V2T3fjL7rsh4/tCxY0eTMXXp0kXodDqzts+VK1dE6dKls90XTf0PNmXr1q0mv4c1Go3B93j67XH9+nWh0WiMlpHL5aJfv34G09J78OCBsLe3NxnvkydPhBBCjBo1yuT80NBQ4evra3I7Z+fatWtG69u6das0v1q1agbzhgwZYrSOrPYNc86Lslo+q/PMzOTlPNMc8fHx2R5z5sQSHx8vypUrZ7SsTCYTrVq1Mrm+48ePZ7t/v/baawbxLly40GS5jh07SmVyc+xk9bmlyc/vz4KWcd8zdW5KRPSqMuxglIjIAiZOnIiNGzdizJgxqF+/PkqXLg07OzsolUqUKlUKr732Gnbs2IHPP//cqnEuXLgQu3fvRrdu3eDt7Q25XA5HR0fUrVsXs2bNwtmzZ41a2owYMQKLFi1CxYoVoVAo4OfnhylTpuDw4cNZ9ik3btw4/PXXXxg6dCjKly8PtVoNBwcHVKhQAe3atcPChQtx6NAhg2Vq1qyJtWvXonbt2gaDU2W0adMmdO/eHa6urpn2FZib+jPz+uuvY/369ahRowYUCgXc3NzQp08fnDhxAj4+Pmatw1zvvfcevvvuO2l7e3l5Yfjw4Th48KBRNyw5oVAojEY0z9htBqDvs/mTTz5Bq1atUKZMGdjb20Mul8Pb2xsdO3bEtm3bzGpF1bRpU3z22Wfo2LEjypUrB41GA7lcDnd3d4SGhiIsLAxffvllrt9PRq+//jrOnj2L4cOHo1y5clCr1VCr1ahYsSLGjh2LCxcuSLecFpRZs2ZJXQsA+m4tWrRogb///jvf6+rRowcuXryI8ePHo0qVKnBwcIBarUZAQABCQkIwZ84cXL16VSrv6uqKI0eO4LXXXoOTkxPs7OxQr149bN68Od9bPOXXPgXoB9w7duwYvv/+e7Rs2RJubm6Qy+VwdXVFgwYNMGbMGLPW4+XlhQMHDqB169awt7eHRqNBhw4dcPz48Uz7T83NPv3ZZ59h/Pjx8PX1NTnQU9p6//77b0ydOhW1atWCRqOBUqlE6dKl0aRJE3z88cc4ffp0oejTsm7dujh27Bg6duwIR0dHODo6IjQ0FIcOHUKFChWkcjnpIqowHLvvvPMOJkyYgIYNG8LX1xdKpRIqlQoBAQEYOHAg/vzzT9SvXx+A/n/pvn37MGjQILi5uUGlUqFatWpYunSpwfFe0DZv3oyZM2eiXLlyUCqVKFOmDGbMmIENGzaY3adupUqVcOHCBcyePRsNGjSAs7MzFAoFfH190aBBA7z99ts4fPgwmjdvbtb6unTpgj179qB58+aws7NDiRIl0LVrV5w8eRLVq1c3uUz58uVx6NAhtGnTBvb29nB0dERwcDD27t2LVq1aZVqXl5cXtm/fjiZNmmTaYvKbb77BzJkz4e/vD4VCgdKlS+Odd97B9u3bc903dsWKFQ1aHctkMoNufpo1a2ZQPqf9M5t7XvQqsbOzw65du7B27Vp06NABnp6eUCgUcHZ2Rs2aNc0aDDJtPXv37pW+x+zt7dG8eXPs2bMH/fr1M7lMYGAg/ve//+G1115DxYoV4ezsDFtbW7i4uKBJkyZYuHChURc4Y8eOxfTp0xEQEJDpfpLfx06a/Pz+JCKi/CMTIpdD7BIRERUha9euRd++fQHoL37NTbQTEQFAcnIy5HK50UCxsbGxqFatmtRNyPDhw7F06VJrhFhshIWFGfxYyMsdIiIiooLBPpqJiKjYioqKwrlz5/Dw4UN8+OGH0nRzBpkjIkrv8uXL6NKlC/r164cqVarAxcUF4eHhWLx4sZRkNncQSyIiIiKiVxETzUREVGydO3fO6FbdJk2aoFevXlaKiIheZXfv3s20GyilUonFixejRo0aBRwVEREREVHBYKKZiIiKPZlMBi8vL3Tt2hWzZ882uvWdiCg7pUqVwqRJk3DgwAHcuXMH0dHRUKvVKFu2LFq0aIExY8agUqVK1g6TiAqYOcd9/fr1sXLlygKIhoiIyLLYRzMRERERERGRBZgz4GRwcDAOHDhg+WCIiIgsjC2aiYiIiIiIiCyA7bqIiKg44b3BRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDRToSWTycx6HDhwAAcOHIBMJsPGjRutHTbCwsIgk8kQHh4uTRs0aBDKlCljUE4mk+Gtt94q2OByaOfOnZg+fbrJebNnz8Yvv/xSoPGkFx4eDplMhrCwsBwve/nyZUyfPt3gM8rOunXrULVqVdjZ2UEmk+HcuXM5rjc/4mvRogWqVatmsbqtwdTx8SrJy75ojvv372P69OkW3eeIiIheJa/qdQIAKZ4DBw5YOxTIZDKDc31Lx3bs2DFMnz4dUVFRRvNatGiBFi1aWKTe/BIeHo6OHTvC1dUVMpkMEydOzLRsZtdKadeKf/31l+UCNVNxP4fN6zVImTJlMGjQoBwvFx8fj+nTpxeK/wFElsBEMxVax48fN3h06NABdnZ2RtNr165t7VANdOzYEcePH4e3t7e1Q8mznTt3YsaMGSbnWTvRnBeXL1/GjBkzzE40P3nyBAMGDEC5cuWwe/duHD9+HBUrViw08b3qPv74Y2zZssXaYRRa9+/fx4wZMwrtSToREVFBe1WvEwCgdu3axTa2Y8eOYcaMGSYTzYsWLcKiRYssUm9+mTRpEk6ePIkff/wRx48fx6RJkzIt+ypfK+UXnsOaFh8fjxkzZjDRTEWW3NoBEGWmYcOGBq/d3d1hY2NjNL2wcXd3h7u7u7XDoHz0zz//ICUlBf3790dwcHC+rDM+Ph729vb5sq5XVdo2KFeunLVDKZYSEhKgVqshk8msHQoREVGOvKrXCQDg5ORUaOO0ZmxVqlSxSr05cenSJdSvXx/dunWzdijFGs9hiQo3tmimIiUlJQUffvghfHx84OTkhFatWuHatWtG5fbs2YPQ0FA4OTnB3t4eTZo0wd69e7Ndv06nw6xZsxAYGAg7OzuUKFECQUFBWLhwoVTGVNcZWfnpp59QuXJl2Nvbo0aNGvj111+Nyhw5cgShoaHQaDSwt7dH48aNsWPHDoMy06dPN/llm1k869atQ6NGjeDg4ABHR0e0bdsWZ8+eleYPGjQI3333HQDD2xPTbrGKi4vDihUrpOnpb3V7+PAhRo4cCT8/PyiVSpQtWxYzZsyAVqvNdnuUKVMGnTp1wpYtWxAUFAS1Wo2AgAB8/fXX2S5rzrYKCwtDr169AAAhISFS/JndMjZo0CA0bdoUANCnTx+j97pt2zY0atQI9vb20Gg0aN26NY4fP26wjrTP5syZM+jZsydcXFwyTa6aG9+pU6fQrFkz2NvbIyAgAJ9//jl0Op1BmZiYGEyZMgVly5aFUqmEr68vJk6ciLi4uCy34cSJE+Hg4ICYmBijeX369IGnpydSUlIA6PejNm3awNvbG3Z2dqhcuTLef/99ozoGDRoER0dHXLx4EW3atIFGo0FoaKg0L+Nta4mJiZg6dapB7GPHjjVqAZPxls80GW9li4+Pl7aFWq2Gq6sr6tati7Vr12a5LQAgIiICI0aMQKlSpaBUKuHj44OePXvi0aNHmS6T2a14po7TDRs2oEGDBnB2dpY+zyFDhgDQ38Jar149AMDgwYOl/SH9e/7rr7/QpUsXuLq6Qq1Wo1atWli/fr1BHWn/B37//XcMGTIE7u7usLe3R1JSEp48eSK9P5VKBXd3dzRp0gR79uzJdtsQERG9Kix5nfDkyRMolUp8/PHHRvOuXr0KmUwmncua6p7i5s2beP311+Hj4wOVSgVPT0+EhoYatAQ195znyZMnGDNmDKpUqQJHR0d4eHigZcuWOHz4cNYbyERsaef9mT3S/PHHH+jatSv8/PygVqtRvnx5jBw5Ek+fPpXKTJ8+He+88w4AoGzZsgbdmwCmu8549uwZxowZA19fXyiVSgQEBODDDz9EUlKSQbm0LgnNua4y5c6dO+jfvz88PDygUqlQuXJl/O9//5POrdO2y40bN7Br1y6D6yJTsrtWAoAXL15g9OjRKFmyJNzc3PDaa6/h/v37RuvK7potK0X9HDYn2ycsLAyBgYHS57ty5UqztiGg/9/x7rvvwsvLC/b29mjatCn+/PNPo3LmHHvh4eFSo7QZM2ZI2yXtGL5x4wYGDx6MChUqwN7eHr6+vujcuTMuXrxodrxE1sZEMxUpH3zwAW7fvo0ffvgBS5cuxfXr19G5c2ekpqZKZVatWoU2bdrAyckJK1aswPr16+Hq6oq2bdtmexI5d+5cTJ8+HW+88QZ27NiBdevWYejQoSZv/zLHjh078O2332LmzJnYtGkTXF1d0b17d9y8eVMqc/DgQbRs2RLR0dFYtmwZ1q5dC41Gg86dO2PdunW5qnf27Nl44403UKVKFaxfvx4//fQTXrx4gWbNmuHy5csA9N0Z9OzZE4Dh7Yne3t44fvw47Ozs0KFDB2l62q1uDx8+RP369fHbb7/hk08+wa5duzB06FDMmTMHw4cPNyu+c+fOYeLEiZg0aRK2bNmCxo0bY8KECfjyyy+zXM6cbdWxY0fMnj0bAPDdd99J8Xfs2NHkOj/++GMp4T579myD97pmzRp07doVTk5OWLt2LZYtW4bnz5+jRYsWOHLkiNG6XnvtNZQvXx4bNmzAkiVLTNZnTnwPHz5Ev3790L9/f2zbtg3t27fH1KlTsWrVKqlMfHw8goODsWLFCowfPx67du3Ce++9h7CwMHTp0gVCiEy345AhQxAfH290ohcVFYWtW7eif//+UCgUAIDr16+jQ4cOWLZsGXbv3o2JEydi/fr16Ny5s9F6k5OT0aVLF7Rs2RJbt27NtFsWIQS6deuGL7/8EgMGDMCOHTswefJkrFixAi1btjS6uDDH5MmTsXjxYowfPx67d+/GTz/9hF69eiEyMjLL5SIiIlCvXj1s2bIFkydPxq5du7BgwQI4Ozvj+fPnOY4jo+PHj6NPnz4ICAjAzz//jB07duCTTz6RfpSpXbs2li9fDgD46KOPpP1h2LBhAID9+/ejSZMmiIqKwpIlS7B161bUrFkTffr0MfnjyZAhQ6BQKPDTTz9h48aNUCgUGDBgAH755Rd88skn+P333/HDDz+gVatW2W4bIiKiV4klrxPc3d3RqVMnrFixwuiH/+XLl0OpVKJfv36ZLt+hQwecPn0ac+fOxR9//IHFixejVq1aubrGePbsGQBg2rRp2LFjB5YvX46AgAC0aNEix7fqp533p39s27YNTk5OqFy5slTu33//RaNGjbB48WL8/vvv+OSTT3Dy5Ek0bdpUapwwbNgwjBs3DgCwefPmbLs3SUxMREhICFauXInJkydjx44d6N+/P+bOnYvXXnvNqLw511WmPHnyBI0bN8bvv/+OTz/9FNu2bUOrVq0wZcoUaTydtC5FvLy80KRJE4PrIlOyulZKM2zYMCgUCqxZswZz587FgQMH0L9/f4My5lyzZaY4nMOau33CwsIwePBgVK5cGZs2bcJHH32ETz/9FPv27TPrvQ4fPhxffvkl3nzzTWzduhU9evTAa6+9ZrQdzTn2vL29sXv3bgDA0KFDpe2S9iPV/fv34ebmhs8//xy7d+/Gd999B7lcjgYNGpj8YYyoUBJEr4iBAwcKBwcHk/P2798vAIgOHToYTF+/fr0AII4fPy6EECIuLk64urqKzp07G5RLTU0VNWrUEPXr188yhk6dOomaNWtmWWb58uUCgLh165ZB7P7+/gblAAhPT08RExMjTXv48KGwsbERc+bMkaY1bNhQeHh4iBcvXkjTtFqtqFatmvDz8xM6nU4IIcS0adOEqUM6Yzx37twRcrlcjBs3zqDcixcvhJeXl+jdu7c0bezYsSbXKYQQDg4OYuDAgUbTR44cKRwdHcXt27cNpn/55ZcCgPj7779Nri+Nv7+/kMlk4ty5cwbTW7duLZycnERcXJwQQohbt24JAGL58uVSGXO31YYNGwQAsX///ixjSZO2f23YsEGalpqaKnx8fET16tVFamqqNP3FixfCw8NDNG7cWJqW9tl88sknZtWXVXzBwcECgDh58qTB9CpVqoi2bdtKr+fMmSNsbGzEqVOnDMpt3LhRABA7d+7MMobatWsbvAchhFi0aJEAIC5evGhyGZ1OJ1JSUsTBgwcFAHH+/Hlp3sCBAwUA8eOPPxotl/H42L17twAg5s6da1Bu3bp1AoBYunSpNA2AmDZtmtE6/f39DfbPatWqiW7dumX1lk0aMmSIUCgU4vLly5mWMbUvmjrmhTA+TtOOi6ioqEzXf+rUKaP1p6lUqZKoVauWSElJMZjeqVMn4e3tLe2baf8H3nzzTaN1ODo6iokTJ2ZaPxERUWFXGK4Ttm3bJgCI33//XZqm1WqFj4+P6NGjh1E8aed5T58+FQDEggULsly/uec8GWm1WpGSkiJCQ0NF9+7ds1xnxtgyiouLE/Xr1xfe3t4iPDzcZJm088Hbt28LAGLr1q3SvHnz5hldJ6UJDg4WwcHB0uslS5YIAGL9+vUG5b744guj7WzudZUp77//vslz69GjRwuZTCauXbsmTfP39xcdO3bMcn1pMrtWSjsnGzNmjMH0uXPnCgDiwYMHQoicXbOZUtTPYc3dPmnXbLVr15auBYUQIjw8XCgUCpPvNb0rV64IAGLSpEkG01evXi0A5OrYe/LkSabHs6l1JCcniwoVKhjFQFRYsUUzFSldunQxeB0UFAQAuH37NgD9ABTPnj3DwIEDodVqpYdOp0O7du1w6tSpLLsVqF+/Ps6fP48xY8bgt99+M9m1QE6EhIRAo9FIrz09PeHh4SHFGxcXh5MnT6Jnz55wdHSUytna2mLAgAG4d+9ejn/Z/O2336DVavHmm28abAO1Wo3g4OA8D0rw66+/IiQkBD4+Pgbrb9++PQB9q+PsVK1aFTVq1DCY1rdvX8TExODMmTMml7HEtsrKtWvXcP/+fQwYMAA2Nv/9K3V0dESPHj1w4sQJxMfHGyzTo0ePfKnby8sL9evXN5gWFBQk7TeA/nOoVq0aatasafA5tG3b1qzRxAcPHoxjx44ZbLPly5ejXr16qFatmjTt5s2b6Nu3L7y8vGBrawuFQiH1Y33lyhWj9ZqzDdJaF2QcxblXr15wcHAwq5ubjOrXr49du3bh/fffx4EDB5CQkGDWcrt27UJISIhBq538lHZLYe/evbF+/XpERESYveyNGzdw9epVqYVU+s+5Q4cOePDggdE+b2r7169fH2FhYZg1axZOnDghtTwiIiIqSix9ndC+fXt4eXlJrTgB/Xn3/fv3pe4ETHF1dUW5cuUwb948zJ8/H2fPnjVqFZ1TS5YsQe3ataFWqyGXy6FQKLB3716T52bmSk1NRZ8+fXDlyhXs3LkT/v7+0rzHjx9j1KhRKFWqlFRf2vzc1rlv3z44ODhId1imSTs/zHg+mN11VVb1VKlSxejcetCgQRBCmN3qNaey2x/zes1W1M9hzd0+addsffv2Nej6w9/fH40bN8421v379wOA0R0JvXv3hlxuPORZXo89rVaL2bNno0qVKlAqlZDL5VAqlbh+/Xqejl+igsREMxUpbm5uBq9VKhUASEmltP6oevbsCYVCYfD44osvIISQbnkxZerUqfjyyy9x4sQJtG/fHm5ubggNDcVff/2VL/GmxZwW7/PnzyGEMHlblo+PDwDk+Pb2tG1Qr149o22wbt06g77UcuPRo0fYvn270bqrVq0KAGat38vLK9Npmb1fS2yrrKStK7P6dDqd0e1Umd1el1PZ7TeA/nO4cOGC0eeg0WgghMj2c+jXrx9UKpV069rly5dx6tQpDB48WCoTGxuLZs2a4eTJk5g1axYOHDiAU6dOYfPmzQBglMy1t7eHk5NTtu8vMjIScrncaFBNmUwGLy+vXH2OX3/9Nd577z388ssvCAkJgaurK7p164br169nudyTJ0/g5+eX4/rM1bx5c/zyyy/SibKfnx+qVatmVt/RacfylClTjD7nMWPGADA+3kztg+vWrcPAgQPxww8/oFGjRnB1dcWbb76Jhw8f5sM7JCIiKhwsfZ0gl8sxYMAAbNmyReryIiwsDN7e3mjbtm2my8lkMuzduxdt27bF3LlzUbt2bbi7u2P8+PF48eJFjt/n/PnzMXr0aDRo0ACbNm3CiRMncOrUKbRr187sH9pNGTVqFHbv3o2NGzeiZs2a0nSdToc2bdpg8+bNePfdd7F37178+eefOHHiBADj80FzRUZGwsvLy6hfYA8PD8jlcqPzQXPOjzOrp6CuH9Izd3/M7TVbUT+HNXf7pH1+WV1fZiWz5eVyudFnmB/H3uTJk/Hxxx+jW7du2L59O06ePIlTp06hRo0aeTp+iQqS8U8wREVYyZIlAQDffPNNpiMqe3p6Zrq8XC7H5MmTMXnyZERFRWHPnj344IMP0LZtW9y9exf29vb5Gq+LiwtsbGzw4MEDo3lpg0WkvSe1Wg0ASEpKkk5UAOMv6bTyGzduNGiJkF9KliyJoKAgfPbZZybnp520ZcVUgittmqmTSCBn2yo/pMWRWX02NjZwcXExmF6QIyOXLFkSdnZ2+PHHHzOdnxUXFxd07doVK1euxKxZs7B8+XKo1Wq88cYbUpl9+/bh/v37OHDggNSKGUCm/Qma+/7d3Nyg1Wrx5MkTg2SzEAIPHz6UWlAA+pNyU302Z7wocHBwwIwZMzBjxgw8evRIat3cuXNnXL16NdNY3N3dce/ePbPiTk+tVpuMy9RFQdeuXdG1a1ckJSXhxIkTmDNnDvr27YsyZcqgUaNGmdaR9hlOnTrVZF+FABAYGGjw2tRnULJkSSxYsAALFizAnTt3sG3bNrz//vt4/Pix1IccERFRUZfX6wRAf0fYvHnz8PPPP6NPnz7Ytm0bJk6cCFtb2yyX8/f3x7JlywAA//zzD9avX4/p06cjOTlZGtfD3HOeVatWoUWLFli8eLHB9NwkrdNMnz4dP/zwA5YvX442bdoYzLt06RLOnz+PsLAwDBw4UJp+48aNXNcH6M8HT548CSGEwfnL48ePodVq8+283s3NrcCuH3Iir9dsRf0c1tztk3bNltX1ZVbSL+/r6ytN12q1Fjn2Vq1ahTfffFMasyfN06dPUaJECbPXQ2RNTDRTsdKkSROUKFECly9flgZ3yK0SJUqgZ8+eiIiIwMSJExEeHo4qVarkU6R6Dg4OaNCgATZv3owvv/wSdnZ2APQtB1atWgU/Pz9UrFgRAKTRgS9cuGCQiNu+fbvBOtu2bQu5XI5///03224M0v+ynlZ3+nmmflXt1KkTdu7ciXLlyhklWs31999/4/z58wbdZ6xZswYajSbTAUNysq0ythjIjcDAQPj6+mLNmjWYMmWKdPITFxeHTZs2oVGjRrn+4SE/4uvUqRNmz54NNzc3lC1bNlfrGDx4MNavX4+dO3di1apV6N69u8EJTtp7Tv/DBgB8//33uY4bAEJDQzF37lysWrUKkyZNkqZv2rQJcXFxCA0NlaaVKVMGFy5cMFh+3759iI2NzXT9np6eGDRoEM6fP48FCxYgPj4+08+qffv2+Omnn3Dt2jWjE96slClTBo8fP8ajR4+ki9Lk5GT89ttvmS6jUqkQHByMEiVK4LfffsPZs2fRqFGjTPeHwMBAVKhQAefPnzc6Gc2t0qVL46233sLevXtx9OjRfFknERHRqyA/rhMqV66MBg0aYPny5UhNTUVSUpLB3WDmqFixIj766CNs2rTJoMs4c895ZDKZ0bnZhQsXcPz4cZQqVSqH7whYtmwZZsyYgZkzZxp1a5ZWH2De+WBOznFDQ0Oxfv16/PLLL+jevbs0feXKldL8/BAaGoo5c+bgzJkzBtcZK1euhEwmQ0hISK7Wa05r6qzk5JrNlKJ+Dmvu9gkMDIS3tzfWrl2LyZMnS/vr7du3cezYsWwbQbVo0QIAsHr1atSpU0eavn79emngwzTmHntZHQem1rFjxw5ERESgfPnyWcZKVFgw0UzFiqOjI7755hsMHDgQz549Q8+ePeHh4YEnT57g/PnzePLkidEvkOl17twZ1apVQ926deHu7o7bt29jwYIF8Pf3R4UKFSwS85w5c9C6dWuEhIRgypQpUCqVWLRoES5duoS1a9dKX5YdOnSAq6srhg4dipkzZ0IulyMsLAx37941WF+ZMmUwc+ZMfPjhh7h58ybatWsHFxcXPHr0CH/++afU8hMAqlevDgD44osv0L59e9ja2iIoKAhKpRLVq1fHgQMHsH37dnh7e0Oj0SAwMBAzZ87EH3/8gcaNG2P8+PEIDAxEYmIiwsPDsXPnTixZsiTb27h8fHzQpUsXTJ8+Hd7e3li1ahX++OMPfPHFF1kmb83dVml9DC9duhQajQZqtRply5bNtLW0KTY2Npg7dy769euHTp06YeTIkUhKSsK8efMQFRWFzz//3Ox1ZZQf8U2cOBGbNm1C8+bNMWnSJAQFBUGn0+HOnTv4/fff8fbbb6NBgwZZrqNNmzbw8/PDmDFj8PDhQ6MLpcaNG8PFxQWjRo3CtGnToFAosHr1apw/fz7nbzqd1q1bo23btnjvvfcQExODJk2a4MKFC5g2bRpq1aqFAQMGSGUHDBiAjz/+GJ988gmCg4Nx+fJlfPvtt3B2djZYZ4MGDdCpUycEBQXBxcUFV65cwU8//ZTtDwIzZ87Erl270Lx5c3zwwQeoXr06oqKisHv3bkyePBmVKlUyuVyfPn3wySef4PXXX8c777yDxMREfP311wYj2wPAJ598gnv37iE0NBR+fn6IiorCwoULDfq6LleuHOzs7LB69WpUrlwZjo6O8PHxgY+PD77//nu0b98ebdu2xaBBg+Dr64tnz57hypUrOHPmDDZs2JDlto6OjkZISAj69u2LSpUqQaPR4NSpU9i9e7dBC5OZM2di5syZ2Lt3r0HrdSIioqIir9cJaYYMGYKRI0fi/v37aNy4cbZJvgsXLuCtt95Cr169UKFCBSiVSuzbtw8XLlzA+++/L5Uz95ynU6dO+PTTTzFt2jQEBwfj2rVrmDlzJsqWLWuUGMvO8ePHMWrUKDRp0gStW7eWusNI07BhQ1SqVAnlypXD+++/DyEEXF1dsX37dvzxxx9G60u7tli4cCEGDhwIhUKBwMBAg76V07z55pv47rvvMHDgQISHh6N69eo4cuQIZs+ejQ4dOqBVq1Y5ei+ZmTRpElauXImOHTti5syZ8Pf3x44dO7Bo0SKMHj1aaqiSU5ldK5krJ9dsphT1c1hzt4+NjQ0+/fRTDBs2DN27d8fw4cMRFRWF6dOnm9V1RuXKldG/f38sWLAACoUCrVq1wqVLl/Dll18adQlo7rGn0Wjg7++PrVu3IjQ0FK6urihZsiTKlCmDTp06ISwsDJUqVUJQUBBOnz6NefPmmbx+lsvlCA4OztX4NUQWZbVhCIlyyJzRpDds2GAw3dRIukIIcfDgQdGxY0fh6uoqFAqF8PX1FR07djRaPqP//e9/onHjxqJkyZJCqVSK0qVLi6FDhxqMupw2Mm760ZRNjd4LQIwdO9aoDlMjRx8+fFi0bNlSODg4CDs7O9GwYUOxfft2o2X//PNP0bhxY+Hg4CB8fX3FtGnTxA8//GBydOdffvlFhISECCcnJ6FSqYS/v7/o2bOn2LNnj1QmKSlJDBs2TLi7uwuZTGawnnPnzokmTZoIe3t7AcBglOgnT56I8ePHi7JlywqFQiFcXV1FnTp1xIcffihiY2Oz3MZpozlv3LhRVK1aVSiVSlGmTBkxf/58g3KZfbbmbqsFCxaIsmXLCltb20xHQ06T2f6Vth0bNGgg1Gq1cHBwEKGhoeLo0aMGZdJGaX7y5EmW792c+IKDg0XVqlWNypvax2JjY8VHH30kAgMDhVKpFM7OzqJ69epi0qRJ4uHDh2bF8cEHHwgAolSpUtLoz+kdO3ZMNGrUSNjb2wt3d3cxbNgwcebMGZMjWGd2/JqKPSEhQbz33nvC399fKBQK4e3tLUaPHi2eP39uUC4pKUm8++67olSpUsLOzk4EBweLc+fOGR1H77//vqhbt65wcXERKpVKBAQEiEmTJomnT59muw3u3r0rhgwZIry8vIRCoRA+Pj6id+/e4tGjR0KIzPfFnTt3ipo1awo7OzsREBAgvv32W6MRu3/99VfRvn174evrK5RKpfDw8BAdOnQQhw8fNljX2rVrRaVKlYRCoTAapfr8+fOid+/ewsPDQygUCuHl5SVatmwplixZIpVJ+7906tQpg/UmJiaKUaNGiaCgIOHk5CTs7OxEYGCgmDZtmoiLi5PKpcWd2Sj0RERE1lQYrhPSREdHCzs7OwFA/N///V+m8aR9pz569EgMGjRIVKpUSTg4OAhHR0cRFBQkvvrqK6HVaqXlzD3nSUpKElOmTBG+vr5CrVaL2rVri19++SXT65H05xQZY0s7f8jskeby5cuidevWQqPRCBcXF9GrVy9x584do/ULIcTUqVOFj4+PsLGxMagrODjY4HpCCCEiIyPFqFGjhLe3t5DL5cLf319MnTpVJCYmGr0Pc6+rTLl9+7bo27evcHNzEwqFQgQGBop58+YZnfumXaeYI7NrpczOyTJu+zTmXLNlpiifw+Z0+/zwww+iQoUKQqlUiooVK4off/zR5DFhSlJSknj77beFh4eHUKvVomHDhuL48eN5Ovb27NkjatWqJVQqlQAgref58+di6NChwsPDQ9jb24umTZuKw4cPmzw+Ml6DExUWMiGEsEwKm4go58qUKYNq1arh119/tXYoRERERERERERkJhtrB0BERERERERERERErzYmmomIiIiIiIiIiIgoT9h1BhERERERERERERHlCVs0ExEREREREREREVGeMNFMRERERERERERERHnCRDMRERERERERERER5YncGpXqdDrcv38fGo0GMpnMGiEQERERkQUIIfDixQv4+PjAxoZtGooLnt8TERERFV3mnuNbJdF8//59lCpVyhpVExEREVEBuHv3Lvz8/KwdBhUQnt8TERERFX3ZneNbJdGs0WgA6INzcnKyRghERFQQEhOB/v31z1etAtRq68ZDRBYXExODUqVKSed7VDzw/J6IiIio6DL3HN8qiea02+mcnJx4IkpEVJTZ2gJ//KF/7uCgfxBRscDuE4oXnt8TERERFX3ZneOz4zwiIiIiIiIiIiIiyhMmmomIiIiIiIiIiIgoT5hoJiIiIiIiIiIiIqI8YaKZiIiIiIiIiIiIiPKEiWYiIiIiIiIiIiIiyhMmmomIiIiIiIiIiIgoT+TWDoCIiIowBwdACGtHQUREREREREQWxhbNRERERERERERERJQnTDQTERERERERERERUZ4w0UxERJaTmAj06qV/JCZaOxoiIiIiIiIishAmmomIyHJSU4GNG/WP1FRrR0NEREREREREFsJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTERERERERERERUZ4w0UxEREREREREREREecJEMxERERERERERERHlCRPNRERERERERERERJQnTDQTEZHl2NsDsbH6h729taMhIioW5syZg3r16kGj0cDDwwPdunXDtWvXslzmwIEDkMlkRo+rV68WUNRERERE9KpjopmIiCxHJgMcHPQPmcza0RARFQsHDx7E2LFjceLECfzxxx/QarVo06YN4uLisl322rVrePDggfSoUKFCAURMREREREWB3NoBEBERERFR/tm9e7fB6+XLl8PDwwOnT59G8+bNs1zWw8MDJUqUsGB0REREVGBi9gFxZwCHeoBTcMHUmXQLeLYFULgDrq8DNgqTxY4fP46jR4+iWrVqaNeuXcHERhbHRDMREVlOUhIwcqT++fffAyqVdeMhIiqGoqOjAQCurq7Zlq1VqxYSExNRpUoVfPTRRwgJCTFZLikpCUlJSdLrmJiY/AmWiIiI8kf8JeDhV/rnLw4CCg/ArrJl6xSpwL2PgdTol691gPtAo2K3b9/GnDlzIITAwYMH4erqivr161s2NioQ7DqDiIgsR6sFVqzQP7Raa0dDRFTsCCEwefJkNG3aFNWqVcu0nLe3N5YuXYpNmzZh8+bNCAwMRGhoKA4dOmSy/Jw5c+Ds7Cw9SpUqZam3QERERLmhfWz4OuWJ5evUJf2XZAYA7SOTxZ4+fQohhPT60SPT5ejVwxbNRERERERF1FtvvYULFy7gyJEjWZYLDAxEYGCg9LpRo0a4e/cuvvzyS5PdbUydOhWTJ0+WXsfExDDZTEREVJg4NgJU24GkG4C6IuBYAC2Gbe0Bl9eA55sBG0egRDeTxYKCghAUFIQLFy6gVKlSaNGiheVjowLBRDMRERERURE0btw4bNu2DYcOHYKfn1+Ol2/YsCFWrVplcp5KpYKK3SEREREVXjZ2QOn5+hbGts4FNzi7+2DAtScgUwE2SpNFFAoFZs2ahejoaDg5OcHGhh0uFBVMNBMRERERFSFCCIwbNw5btmzBgQMHULZs2Vyt5+zZs/D29s7n6IiIiKjAyGSAvETB12urybaITCbjAMRFEBPNRERERERFyNixY7FmzRps3boVGo0GDx8+BAA4OzvDzs4OgL7ri4iICKxcuRIAsGDBApQpUwZVq1ZFcnIyVq1ahU2bNmHTpk1Wex9ERERE9GphotmS7s0AksOtHQURkfXEp/z3/NZIwF5hvVhMUZUFfD+xdhRERPlq8eLFAGDU3+Hy5csxaNAgAMCDBw9w584daV5ycjKmTJmCiIgI2NnZoWrVqtixYwc6dOhQUGETERER0SuOiWZLitkDpDzU94tDRFQcxev+ex53DhBW7HtLpACpUQDkgNwNUJcD1IHZLUVE9MpJP4p7ZsLCwgxev/vuu3j33XctFBERERERFQdMNFua3BVQeFg7CiIi61AK4LiP/nkJZcENQJFGpALa5y8TzDaAugrg3A5wDgXsawAy24KNh4iIiIiIiKiIYqKZiIgsRyYDXFUFW6fQAtoo/ejKEIBtCaBEZ8C5LeDYCLC1L9h4iIiIiIiIiIoBJpqJiOjVp0vWt1pOjQZgox9Z2bkt4BQMODbmnSVEREREREREFsZEMxERWU5yKjDnsv751CqAMh+7qtAlA6nPgNQXAGz1XRW5dAc0zQDHhvrXRERERERERFQgmGgmIiLL0QpgzW3983cqA8o8rk+k6lsua58DkOlbKjt3fJlcrg/YavJYARERERERERHlBhPNRERUuAkB6F4A2qf6RLNtCcC5PeDcBtA0BWwdrR0hERERERERUbHHRDMRERVeqbFAyn3AxhGwqwm4dAI0LQClt7UjIyIiIiIiIqJ0mGgmIqLCK+Ux4FAP8PkQUFcCZDJrR0REREREREREJjDRTEREhZMQAFL1LZjtKls7GiIiIiIiIiLKgo21AyAiIjIpNQqQqQH7GtaOhIiIiIiIiIiywUQzEREVPqkxgDYScO0JONSxdjRERERERERElA12nUFERJajtgX2tvzvuTlS44Dkh4Brd8D7PUDG30SJiIiIiCj/XI+/DkdbR3irXtFBxnWJQPQ+QF0BsKtg7WiIJEw0ExGR5djIAD/7nC2Tch9wDgV8pwM2CouERURERERExdM3d7/B789+hwwyvF36bQS7BFs7pJzRaYEroUDSDUCmAMosAVw6WTsqIgDsOoOIiAoTXQoAG8ClO2CjtnY0RERERERUhAgh8MezP/TPIbDn2R4rR5QLCRf0SWYAEClA5GrrxkOUDhPNRERkOck64IvL+keyLvvyqVGA3AVwqG/x0IiIiIiIqHiRyWQoZ1dOel3evrwVo8klVQBg6/jfaw6eToUIu84gIiLL0eqAH2/qn4+rCCiz+X0z9QXg1BKQO1s+NiIiIiIiKnZmBMzA7sjd0Nhq0NatrbXDyTl5CaD8JuDJMkBdEfAaZ+2IiCRMNBMRUSGiA+yrWzsIIiIiIiIqopzkTujt2dvaYeSNQ03A4RtrR0FkhF1nEBFR4ZAaB8BGP3IyEREREREREb1SmGgmIiLr0yUAyRH6bjMcG1k7GiIiIiIiIiLKISaaiYjIunSJQNJdwKk5UGo2YKO2dkRERERERERElEPso5mIiAqeEEBqFKCNBCADHBsApb4AbDXWjoyIiIiIiIiIcqFYtWhevHgxgoKC4OTkBCcnJzRq1Ai7du2ydlhERMWHLhFIvgckXQdEEuAUCpSeD5T9HpC7Wjs6IiIiIiIiIsqlYtWi2c/PD59//jnKly8PAFixYgW6du2Ks2fPomrVqlaOjoioCFLbAr8GA7pkADeBZDmgKg2U6Aw4twPUAdaOkIiIiIiIiIjyQbFKNHfu3Nng9WeffYbFixfjxIkTTDQTEVmCjQyooAGS7wKKCoDXJEDTFLBRWTsyIiIiIiIiIspHxSrRnF5qaio2bNiAuLg4NGrUyNrhEBEVbbpEwL4W4Bxq7UiIiIiIiIiIyAKKXaL54sWLaNSoERITE+Ho6IgtW7agSpUq1g6LiKhoEKmALknf/7IuEUhOAP7vkX7eR6WsGxsRERERERERWUyxSzQHBgbi3LlziIqKwqZNmzBw4EAcPHiQyWYiInMIAYjkl4nkpP/+QrwsINN3iyFTvRzczxtYslI/a04rKwVNRERERERERJZW7BLNSqVSGgywbt26OHXqFBYuXIjvv//eypERERUiuoSXj5fJZJECwAaAAGRyQKYGbNSA0g9QlQGUpQCFl+HD1gmIjwfwMtGs8LTe+yEiIiIiIiIiiyp2ieaMhBBISkqydhhERIWHLgFIug3IS+pbJav8AWUZQOn9Monsqf8r9wBsFNaOloiIiIiIiIgKgWKVaP7ggw/Qvn17lCpVCi9evMDPP/+MAwcOYPfu3dYOjYio8NAl6RPM5dfrWyzLZNaOiIiIiIiIiIgKuWKVaH706BEGDBiABw8ewNnZGUFBQdi9ezdat25t7dCIiAoHIQBdHGCjAZS+TDITERERERERkVmKVaJ52bJl1g6BiKhwEqmA9imgjQZsHQBNU0BmY+2oiIiIiIiIiOgVUawSzURElEFqPKB9rB/sT+4OuA8ESnQC7KpbOzIiIiIiIqL8F38BeBKmH7zc8y1AUdJ0uee/AjF/AKpygMdo0+PTiFTg8VIg8QqgaQG4vmZ6Xdoo4NE3gPYZULI/4FAnn95MFoQAnq4E4k8DDvWAkgPytr6ku8DjRfr37DEKUAfkaXUbNmzA4cOHUa1aNQwfPhwy3k1rloMHD2Lz5s3w9fXFW2+9BXt7e2uHZICJZiKi4kikAknhgEwOqAMBl9cA57aAwi1/61GrgT///O85ERERERGRNd3/HNC90D9/sgzwec+4TNJd4Mn3L5/fBFRlAJcuxuVi9gLRO1+WuwXYVwfUFYzLPV0BxP35X/3l1+qvxSwp7k/g+cb/YrOrkrcE96Nv9Al1AHg4Hyjzba5XdeXKFaxcuRIAcOvWLVSoUAEhISG5j62YiI6OxldffYXU1FTcvHkTnp6eGDhwoLXDMsBEMxFRcSN0+hMNVRnA50PAsaHlTnJsbYF69SyzbiIiIiIiopwQQn83p/Q6OZNyKRlem1lOl1m59NO1+jgs3YDX3Nhys77MtoeZUlIMY0tKSsrT+oqL1NRU6HQ66XVych4/UwtgB5xERMWJEEDybUDuAZT6/GVfzPzNkYiIiIiIigGZDPCaANi6AsoyQMlBpsupAwCXnvruNexrAyU6mi7n1BpwaKAvV6IzYF/VdDm3AfouOGxLAB5vme6GI785NtJ352GjAZxaAo4N8rY+j1GAwlt/Lek5Nk+rql69Ojp06ACNRoNGjRohNDQ0b7EVE66urhgyZAicnZ1RuXJl9OzZ09ohGZEJIURBVxoTEwNnZ2dER0fDycmpoKsvOJeb6X/lUXhYOxIiIn1L5uQ7gI0dUOoLwKkAbk1KTgYWLtQ/nzABUCotXycRWVWxOc8jA/zciYiIiIouc8/12IyNiKg4EFp9dxlyD8D3k4JJMgNASgrw7rv652PGMNFMREREREREVEQx0UxEVJQJHaCLBZIf6gelKDVHP0AFEREREREREVE+YqKZiKio0SUDqdH6BwRg46Dvn6vUZ4DS19rREREREREREVERxEQzEdGrLq3VsjYaEIkAbAF5CcC5NeDYGHCoA6jK6we+ICIiIiIiIiKyACaaiYheVULoB/cTyfpWy6oygKY54FAXcKgF2GqsHSERERERERERFRNMNBMRvapEAgAZ4PW2fnA/VTm2WiYiIiIiIiIiq2CimYjoVaWNBhQeQMmBgI3S2tEQERERERERUTHGRDMRUWEnBCBSAF0CoIvXt2QWqfp5jp0Kd5JZrQb27//vOREREREREREVSUw0ExEVFukTyiLh5V8tABkgkwM2dvpB/tT1AFVFQOUPaJpaO+qs2doCLVpYOwoiIiIiIiIisjAmmomICpIQAFJfJpSTAZH4sqVyCiADADlgawfYaAD72oC6gj6hrCwNKP0BhSf7YSYiIiIiIiKiQoeJZiKi/JLWIlkkG/7VJQNIhT6TLADYADKlvssLGwfArjqgftlCWekPqEoDCi9AZmvd95MfUlKApUv1z0eMABQK68ZDRERERERERBbBRDMRkTmE7mXiOF3yOO35f4UAyPUJZNnLJLLCA1B46xPH8pKA3A1QvPyb9pAV4X/FycnAW2/pnw8axEQzERERERERURFVhLMbREQ5JHT/Dbini3uZRLaBPoEMffJYptD/lZfUJ4+VPvpkspQ4TpdEtnVmNxdEREREREREVCww0UxExZPQvUwov3wIrX66jVrfEtmhLqAKMEwcp2+JbGNn3fiJiIiIiIiIiAoRJpqJqOiTkspxL5PKqfrpNnaAjSPgUB2wq6ofeE9dDlCV1SeciYiIiIiIiIjILEw0E1HRlRoHpDzQP7exB2w1gH2tl0nl8oAqLamstG6cREREREREROZKjQFiTwJKX8CuSt7XF39Jf+3s2FB/3Uz56uzZs4iMjESTJk1gZ1e0745mopmIip7UeP2XpMwWcGgAuPUC1IGA0h+w4WB0RERERERE9IrSJQN33gVSIgDIAO/3AU3j3K8v5hDwcJ7++fMtgP/XRXvA+gK2a9cuLFq0CACwc+dOzJ8/38oRWRb3HCIqOnQJQPL9lwnm2oD7EEATrH9NRERERERE9KrTPnmZZAYAAcSfz1uiOf78f8+T7wLaZ/oB7ylfnDt3Tnp+/fp1xMXFwcHBwXoBWRgTzUT06hMpQHKEvi9m+5qA+2DAKYS/whYGKhXw66//PSciIiIiIqLcU3gCyjJAcjgAG8ChXt7W51gPiPkDgNB3Lyl3y3uMJKlfvz6OHTsGAKhWrVqRTjIDTDQT0atM6ICUR4DuBaAqD3iMAEp0ZIK5MJHLgY4drR0FERERERFR0SCTA6W+AOLPAAofQB2Qt/U5NgRKf6XvftKhLu8IzmehoaHw8/NDZGQk6tata+1wLI7ZGCJ6dYhUQJcEiERAlwikxgIKd8B9KFCyH2DrZO0IiYiIiIiIiCzL1h7QNM2/9anL6R9kEYGBgdYOocAw0UxEhYtI1SeRRdLLv4n6abABIAAbNSBT6/uMKtFF3w+zqpS1o6bMpKQAq1frn/frByg4GCMRERERERFRUcREMxEVPKFNl0x+mVCG7uVM2ctksgpQeAGqsoDSH1D66B8KH0DpDdhoAJnMmu+CzJGcDAwerH/eqxcTzURERERERERFFBPNRJR/hACgBXQpgEjWD9In/U2B1CrZIJnsA6jTksm+gMJb/1B6A7Ya674fIiIiIiIiIiIyCxPNRJQ9IQCk6pPGuhQTCWQAkEGfRLYFbBSATKl/KDz1LZMV3oCiJCAv+V+rZIUPYFu0R1wlIiIiIiIiIioOmGgmKu6EeNkPcgqgy9AK+b9CAGwBmQKweZlAlnu/TCJ76wfkk7sCcjf9X1vXl69L6EfEJSIiIiIiIiKiIo0ZIKLiRpcM6OIAXezLvpGh78JCSiC7A3JPQOkFyD3+Sx5LDzfAtoS+PBEREREREREREZhoJiraRKo+qZwaC+jiX060BWwdAVU5wL4WYFcJUJXXt06Wu+j7TiYiIiIiIiIiIsoBJpotLTVGn+wjKkgi8b/9zsZB3wrZviVgVw1QVwDUgYDCzboxEhERERERERFRkcFEsyXZ1wCS/rV2FFQcKUvp9z91Rf1DWQqQ2Vg7KiqOVCpg/fr/nhMRERERERFRkcREsyWV+dbaERARWZdcDvTqZe0oiIiIiIiIiMjC2MSRiIiIiIiIiIjIynQ6nbVDIMoTJpqJiMhytFpgwwb9Q6u1djRERERERESFxpkzZzBu3DjUrVsXarUatra2UKvVqFu3LsaNG4czZ85YO0SiHGHXGUREZDlJSUDv3vrnsbH6rjSIiIiIiIiKsRs3bmDEiBHYv38/fH190apVK/Tv3x9OTk6IiYnBuXPnsGXLFnz77bcICQnB0qVLUb58eWuHTZQtXvETEREREREREREVgDVr1mDYsGHw9vbG5s2b0blzZ8hNNMjRarXYvn07pkyZgqCgICxbtgxvvPGGFSImMh+7ziAiIiIiIiIiIrKwNWvWoH///ujZsycuXLiA7t27m0wyA4BcLkf37t1x4cIF9OzZE/369cOaNWsKOGKinGGimYiIiIiIiIiIyFKS7uL6vt4YNnQg+vfvj7CwMDg4OBgUSUlJwcOHD5GcnGww3cHBAWFhYejfvz+GDRuGGzduAE9XAddfA8LHASmRpuvUpQARM4Hr3YGIWYDI25g5Fy5cQP/+/fH666/jzz//zNO6ioLExER8+OGH6N69O+bPnw8hhLVDKhSYaCYiIiIiIiIiIrKUyDUY+eEB+Pj6YfHixbCx+S8dd/DgQdQKCoKdWg1vb2+o1Wo0qFsXhw8flsrY2Nhg8eLF8Pb2xojhg4Fn6wCRAiSHA8+3mK4z9jgQd0qfYI47CcSezNNbWLZsGaKjoxEXF4fvv/8+T+uyFJ1OV2B17d27FxcuXIBWq8X+/ftx4cKFAqu7MGOimYiIiIiIiIiIyEJOX3qG/SeeYN68+UYtmXfu3IlzFy8i9WWSVAiBP0+fRrs2bXD16lWpnIODA+bNm4f9B47gzOXY/1Zg62i6Uhv7DK8dTJczU/q4HR0zqbOAnTlzBuPGjUPdunWhVqtha2sLtVqNunXrYty4cThz5ozF6s74OWZ8XVxxMEAiIiIiIiIiIiILCdsWDT8/H3Tu3NloXrNmzXDq5Ek0b9ECpUuXxqFDh7BixQrEJyZi48aN+Oijj6SyXbp0ga+vL5bvKonadSoASl/A5TXTlTrWBdwGAPFnAYe6gEPNPL2HCRMm4P/+7/+g1WoxdOjQPK0rr27cuIERI0Zg//798PX1RatWrdC/f384OTkhJiYG586dw5YtW/Dtt98iJCQES5cuRfny5fM1huDgYNy9exeXL19Gs2bN8n39ryommomIyHKUSmD58v+eExERERERFTPHT/yF0NDWJgf+69SpEzp16oTExEQkJCTAwcEBK1asAAAkJCQYlJXL5QgNDcWJM5eBUhuyr9itt/6RDzw9PQ2S3tayZs0aDBs2DN7e3ti8eTM6d+5scrtqtVps374dU6ZMQVBQEJYtW4Y33ngj3+KQyWQYMGBAvq2vqGCimYiILEehAAYNsnYUREREREREVnPp0iX0798/0/kREREIKFsWySkpBtNff/11o7I1a9bEunXr8j3GV8GaNWvQv39/9O/fH4sXL86yuwq5XI7u3bujTZs2GD16NPr16wchBPr27VuAERc/TDQTERERERERERFZgE6nQ1JSEpycnDItEx0dbZRkBgCVSmU0zdnZGUlJSdDpdAaDChZ1169fx7Bhw9C/f3+EhYWZfO9RUVGwtbWFRqORpjk4OCAsLAwAMGzYMNSvX5/dXFhQ8dkjiYio4Gm1wI4d+odWa+1oiIiIiIiICpSNjQ1UKhViYmIyLVO5cmWsX78e33//vUH/x5/NmmVUNjo6GiqVqlglmQFg5MiR8PHxweLFi43e+6lTp9C4SVO4uLjAyckJnbt0wY0bN6T5NjY2WLx4Mby9vTFixIiCDr1YYYtmIiKynKQkoFMn/fPYWMBE31lERERERERFWbVq1XDu3LlM58tkMvTq1QsAMGLECGzesAHPY2Jw9fJlo7Lnzp1D9erVLRVqoXT69Gns378fmzdvNuouIzw8HC1CQhAfFydN+3X7dpw5ew7XrlyGo6MjAH3L5nnz5qFHjx44c+YMateuXaDvobgoXj9/EBERERERERERFaBGjRphz5490Jq4y7N/376oUqkS5s2bh6VLl2Lw4MF4/rL1c6UqVQzKarVa7N27Fw0bNiyQuAuLsLAw+Pn5oXPnzkbzFi5cKCWZ33vvPQwcOBAAcP/eXaxcudKgbJcuXeDr64vlaQPWU75jopmIiIiIiIiIiMhCBg8ejIiICGzfvt1o3m+//YYr167h3XffxciRI6X+hBVyOSZNnmxQdtu2bYiIiMDgwYMLIuxC4/jx4wgNDYXcxB2ye/cfAAB4+/phzpw5+Oabb6BQKAEABw8eMigrl8sRGhqKEydOWDzm4oqJZiIiIiIiIiIiIgupXbs2QkJCMGXKFMSl6+IBAGbNno2K5cpJr5UKBVq1bIlDhw+jZs2a0vS4uDi88847CAkJKXbdPly6dMlgW6QRQuDvSxcBADWqV4NMJoNGo4FvqVIAgL/OnDFapmbNmrh48aJF4y3OmGgmIiIiIiIiIiKyoKVLl+LBgwcYPXo0dDqdNH3kyJG4duMGYmNj8ejRIyQkJuKPDN1j6HQ6jB49Gg8ePMDSpUutEb7V6HQ6JCUlwcnJyWhecnIydKmpAGAw38nJGQAQFxdvtIyzszOSkpIMPgPKPxyViYiIiIiIiIiIyILKly+PZcuWoV+/fgCAxYsXGwxs5+DgYDTQHaBvyTx69GisWrUKq1evRvny5Qss5sLAxsYGKpUKMS/7rU5PqVTCxtYWutRUg/kxMdEAAAcHe6NloqOjoVKpYGPDtreWwK1KRERERERERERkYW+88QZWrVqFjRs3IigoCJs3bzY5QCCgH/hv8+bNCAoKwsaNG7F69Wq88cYbBRxx4VCtWjWcO3fOaLpMJkPVatUBAOcvXoIQAi9evEDE3bsAgDq1ahktc+7cOVSvXt2i8RZnbNFMRESWo1QC337733MiIiIiIqJirG/fvqhfvz5GjBiBHj16wNfXF6GhoahZsyacnZ0RHR2Nc+fOYe/evYiIiEDLli3x22+/FbuWzOk1atQIW7ZsgVarNRoQMDSkBS6eP4cHEfcwdepUPHjwACkpyQCAFi2CDcpqtVrs3bsX3bt3L6jQix2ZEEIUdKUxMTHSwWOqjxUiIiIiejXxPK944udORESUc2fOnMHy5ctx4sQJXLx4EUlJSVCpVKhevToaNmyIwYMHF7uB/0w5c+YM6tSpg82bNxsliW/duoXqQUGIi401mO7j64erVy5Do9FI0zZv3owePXrg9OnT3K45ZO65HhPNRERERJRveJ5XPPFzJyIiyjudTse+gzPRsmVL3L59GxcuXDDqy/rUqVOYMHESjh87CgDo3KUL5v/vfwatwOPi4hAUFAR/f3/s27evQGMvCsw91+PeS0RElpOaChw4oH+8HA2YiIgsa86cOahXrx40Gg08PDzQrVs3XLt2LdvlDh48iDp16kCtViMgIABLliwpgGiJiIgoDZPMmVu6dCkePHiA0aNHQ6fTGcyrV68ejh09gufPnyMmJgbbtm41SDLrdDqMHj0aDx48wNKlSws69GKFezAREVlOYiIQEqJ/JCZaOxoiomLh4MGDGDt2LE6cOIE//vgDWq0Wbdq0QVxcXKbL3Lp1Cx06dECzZs1w9uxZfPDBBxg/fjw2bdpUgJETERERmVa+fHksW7YMq1atwqBBg0ye15QoUcKgqwxA35J50KBBWLVqFZYtW1as+7ouCOw6g4iILCcuDnB01D+PjQUy3OJEREUPz/MKnydPnsDDwwMHDx5E8+bNTZZ57733sG3bNly5ckWaNmrUKJw/fx7Hjx/Ptg5+7kREZEl7nu1BeEI4QlxCUM6+nMkyybpk/PLkFyToEtC1ZFeUUJQwvbKUSCBqG2CrAVy6ATK56XIJ14AXhwF1OcApJF/eB+XdmjVrMGzYMHh7e2PevHno0qWL0QCBgH7gv23btuGdd97BgwcPsGzZMrRt2xbbtm2Do6MjunbtCoVCYfF4dTodtm/fjsjISHTs2BGenp4Wr9MSzD3Xy+RoIiIiIiKioiA6OhoA4OrqmmmZ48ePo02bNgbT2rZti2XLliElJcXoQiwpKQlJSUnS65iYmHyMmIiI6D/7nu3DwrsLAegTzksrL4WT3DjR9X8R/4fdz3YDAM6/OI/5FeebXmHEJ0DyHf1zbRTgMcy4jPYZcO8jQLy8K1OmADRN8/pWKB/07dsX9evXx4gRI9CjRw/4+voiNDQUNWvWlBKh586dw969exEREYGWLVvit99+Q/ny5TF+/HjcunULABAZGYmRI0daPN61a9fi559/BgAcPXoUP/zwA2QymcXrtRYmmi1o9q3ZCE8Mt3YYRERWo4xPwbcvn7919S0k21v+F+P0ZJBhtN9o1NTULNB6iYgKCyEEJk+ejKZNm6JatWqZlnv48KFRCxtPT09otVo8ffoU3t7eBvPmzJmDGTNmWCRmIiKi9O4k3pGex+ni8DTlqclE8+3E2yaXMSAEkHzvv9fJt02XS3n8X5IZAJLv5ihmsqzy5ctj3759OHPmDJYvX44TJ05g3bp1SEpKgkqlQvXq1dG9e3cMHjwYtWvXlpa7e/e/z/HOnUz2kXyWvp7Hjx8jMTERdnZ2BVK3NTDRbEG7InfhQfID2NkU3R2IiCgrdgn/DdLwZ8yfSEgpuKEBorRR8FP5QSEr2OQ2EVFh8tZbb+HChQs4cuRItmUztq5J62HPVKubqVOnYvLkydLrmJgYlCpVKo/REhERGWvp2hK/P/sdL1JfoKZjTfir/U2W61yyM/658w9SkYqu7l1Nr0wmA0p0BqK26rvMKNHRdDl1ecCuKpDwN2DrDGhMdz1F1lW7dm2DRLJOp8tyQMUuXbpg8+bNkMvl6Ngxk88+n7Vv3x5//fUXkpOT0apVqyKdZAaYaLY4N4UbPJQe1g6DiMgqVNACuAwAKG1XGkl2BfO1E62NhoDAhFITUNWxaoHUSURU2IwbNw7btm3DoUOH4Ofnl2VZLy8vPHz40GDa48ePIZfL4ebmZlRepVJBpVLla7xERESmlFaXxv9V/j88S3kGX5UvbGSmE4nNXJqhqmNVJOmS4K3yNlkGgL6rjBLtARt7QO5iuoxMDvjNApLvA/KSgK19PrwTsrSskswAMHjwYLRt2xZqtTrLLsXyU82aNfHjjz/ixYsX2Z6PFQVMNBMRUZGSKlLxMOkhenv2Rh/PPtYOh4iowAkhMG7cOGzZsgUHDhxA2bJls12mUaNG2L59u8G033//HXXr1i2QgXKIiIiy4mDrAAfb7AcWd1WYmTxU+mZfRiYHVKXNWx+9Mnx8fAq8TmdnZzg7Oxd4vdbARDMREVlMqtwGP06sLD0vCE+Tn8JD6YG3/N4q0oMsEBFlZuzYsVizZg22bt0KjUYjtVR2dnaWbtecOnUqIiIisHLlSgDAqFGj8O2332Ly5MkYPnw4jh8/jmXLlmHt2rVWex9ERERE9GphopmIiCxGq7DBlkHlCqw+ndAhWhuNEb4j4KXyKrB6iYgKk8WLFwMAWrRoYTB9+fLlGDRoEADgwYMHBoPTlC1bFjt37sSkSZPw3XffwcfHB19//TV69OhRUGETERER0SuOiWYiIioyorRRcFY4o4cHEyNEVHylDeKXlbCwMKNpwcHBOHPmjAUiIiIiIqLioGDuYyYiomLJJlWgwqUoVLgUBZvU7BMfeRWZEokmzk1Qxq6MxesiIiIiIiIiov+wRTMREVmMIjkV8/sfAQD0PN4OSXaW+9pJSE2ArcwWnUp2slgdRERERERERGQaWzQTEdErL0WXgruJd9HAqQGalWhm7XCIiIiIiIiIih0mmomI6JWmEzrcSryFyg6VMafcHChtlNYOiYiIiIiIiKjYYdcZRET0ykrWJeN24m34Kn3xefnP4anytHZIRERERERERMUSE81ERPRKikyJRGRyJGpoauCjMh+hkkMla4dEREREREREVGwx0UxERK+UVJGK2wm3obJRYbD3YIwtNRYaucbaYREREREREREVa0w0ExHRK+V+0n14qbzwcdmPEVwiGDKZzNohERERERERERV7TDQTEZHFpMptsGZkBel5XumEDompiXjd73W0cGmR5/URERERERERUf5gopmIiCxGq7DB2tGB+ba+ZynP4KxwRge3Dvm2TiIiIiIiIiLKu7w3LyMiIiogUdooNC/RHL5qX2uHQkRERERERETpMNFMREQWI9MJlL7xAqVvvIBMJ/K0rmRdMmxkNmjn1i6foiMiIiIioqIkWhuNp8lPsy33d+zfuJd4L38q1SUDyfcBkZo/6ysmtFot7t+/j+TkZGuHQvmIXWcQEZHFKJNS8V3PgwCAnsfbIcku9187T1OewkvphcbOjfMrPCIiIiIiKiKORR3DvDvzoBVa9PXsize83jBZbviV4dj2ZBtsZbaYU24OBvoMzH2lKU+Bu+8C2ieAujLgNwuwUeZ+fcVEUlISPvjgA/zzzz/w9PTE3Llz4erqau2wKB+wRTMREb0S4lLjEFIiBHa2dtYOhYiIiIiICpmtT7dCK7QAgE2PN5kso9Pp8OvTXwEAqSIVP9z/IW+VvjisTzIDQOIVIOFy3tZXTFy8eBH//PMPAODRo0c4evSolSOi/MJEMxERFXopuhTYwAYNnBtYOxQiIiIiIiqEfFW+Jp+nZ2NjA1fFfy1nS6tL561SZbp6ZHJA4Zm39RUTXl5ekMv/u9vV15dj8BQV7DqDiIgKvciUSLgqXFHXqa61QyEiIiIiokJopO9IuCnckJCagNc8Xsu03MZqG/HZ7c/gKnfF7HKz81apY33AazKQcBXQNAGU3nlbXzHh5+eHadOm4dixY6hWrRpq165t7ZAonzDRTEREhVqqSEVMagzGeI2Bi8LF2uEQEREREVEhpLJRoZ9Xv2zLVXasjFVVV+VfxU4h+gflSM2aNVGzZk1rh0H5jF1nEBFRoSWEwP2k+/BSemU6mAcRERERERERWR9bNBMRUaEUnxqPiKQIONk6YYTPCHgoPawdEhERERERERFlgolmIiKymFS5DTa/GSA9N2sZkYp7SfeQqktFY+fGmFR6Eqo7VrdkmERERERERESUR0w0ExGRxWgVNlg+uYrZ5ZN1ybiVcAv+an+M8huFriW7Qm7DryoiIiIiIiKiwo5X70REVGg8Sn6EALsArKy6kl1lEFGxo9VqceDAAfz777/o27cvNBoN7t+/DycnJzg6Olo7PCIiIiKiLDHRTEREFiPTCbg/SAAAPPG2g7CRZVo2VaQiUZeIXh69mGQmomLn9u3baNeuHe7cuYOkpCS0bt0aGo0Gc+fORWJiIpYsWWLtEImIiIiIsmReh5lERES5oExKxbKO+7Cs4z4ok1KzLBuZEomSipLo6t61gKIjIio8JkyYgLp16+L58+ews7OTpnfv3h179+61YmREREREROZhi2YiIioUYrQx6FiyI0oqS1o7FCKiAnfkyBEcPXoUSqXSYLq/vz8iIiKsFBURERERkfnYopmIiKxOJ3QQEGjo1NDaoRARWYVOp0NqqvGdH/fu3YNGo7FCREREREREOcNEMxERWd3D5IdwU7ihoTMTzURUPLVu3RoLFiyQXstkMsTGxmLatGno0KGD9QIjIiIiIjITu84gIiKrik+NR4IuARP8JsBP7WftcIiIrGL+/Plo2bIlqlSpgsTERPTt2xfXr19HyZIlsXbtWmuHR0RERESULSaaiYjIaoQQuJd4D8EuwXjD6w1rh0NEZDW+vr44d+4cfv75Z5w+fRo6nQ5Dhw5Fv379DAYHJCIiIiIqrJhoJiIiq0kRKVDaKDHIexAUNgprh0NEZBUpKSkIDAzEr7/+isGDB2Pw4MHWDomIiIiIKMeYaCYiIotJtZVhR29/6XlGsamxcLB1QCWHSgUdGhFRoaFQKJCUlASZzPj/JBERERHRq4KDARIRkcVolbZY8kF1LPmgOrRKW6P5calx8FX5wlXhaoXoiIgKj3HjxuGLL76AVqu1dihERERERLnCFs1ERGQ1ibpENC3R1NphEBFZ3cmTJ7F37178/vvvqF69OhwcHAzmb9682UqRERERWc7Avwdi//P9qO5YHTtq7jBZJlGbiNH/jMa/8f+in1c/jPQbmac6b8TfwJqHa6CRazDMZxg0ck2e1pevYk8Bd6cCMgXgvwCwC8y8XNR2QOkHlBwM5KUbQl0y8PRHIPk+4NIVcKiT+3UBuHTpEjZu3Ag3NzcMGzasQMaaiI6OxrJlyxAbG4v+/fsjICDA4nWSaUw0ExGR5QgBp+fJAIAYFyWQ7rbw+NR4yGVy1HOqZ63oiIgKjRIlSqBHjx7WDoOIiKjALItYhp8f/QwAePTsEd69/i7mVphrVG5m+EzsfLoTADD91nS0cGmBQIdMErBm+PTWp3imfQYAEBCYXHpyrteV724NBVIevXw+EqhywLhMagzwYA4gUoD4s4CtM+DWJ/d1PtsARL1M8if8DQSsBGwdsl4mE1qtFp9++ini4+MBACqVCiNGjMh9bGb6/vvvcfjwYQDA7du3sWzZMovXSaYx0UxERBajSkzF6pZ/AAB6Hm+HeLUMz1Oe47n2OWxltqhsXxm1NLWsHCURkfUtX77c2iEQEREVqHtJ9wxeP0p+ZLLcs5Rn0nOd0OFp8tNcJ5qFEHiR+kJ6HaONydV6LEYXl+75i0zKJOqTzGlS8/ge0i8vkvXrz2WiOSUlBQkJCdLrmJiC2b7p6ymoOsk09tFMREQFIjwhHDcTbkIGGbqW7IqvK36Nn6r+BIdcnsQQEREREdGr613/d1FaXRoA4KZwwxflvjBZ7j3/9+Cp9IRMJkNLl5Zo4tIk13XKZDIM9xkOuUyOEvIS6OfVL9frsgivSfpuM2zUgPd7pssoPACX1wDYAApfwKVb3up06Q4ofPTrc+0NKNxyvSo7Ozu8+eabsLW1hbu7O/r0yUNL6xzo378/nJ2doVAoCqQFNWVOJoQQBV1pTEwMnJ2dER0dDScnp4KuvsA0+6sZkkUyPJQe1g6FiMgqXkQ/xIHgvwAAw/98A61Ld0OISwjcle5WjoyILKW4nOflt7Jly0KWrnuhjG7evFmA0eQcP3ciIsqt1NRU2NoaDxyekU6ng41N/rSXFEJk+b1rVTodYM77FMKga8I8y8f1WWv7FurP9RVn7rkeu84gIiKLeJL8BLrUeOn10spLIXN0tGJERESF18SJEw1ep6Sk4OzZs9i9ezfeeecd6wRFRERUAMxJMgPItyQzgMKdjDT3feb3e8jH9Vlr+xbqz7WYYKKZiIjyXWRKJGJTYzHeZxgA/eAa/NInIsrchAkTTE7/7rvv8NdffxVwNEREREREOcc+momIKF8lpibiecpzDPUZiuG+w60dDhHRK619+/bYtGmTtcMgIiIiIsoWE81ERJSvXqS+gJvCDaN9R7MVMxFRHm3cuBGurq7WDoOIiIiIKFvsOoOIiPJVvC4eNR1rQm2rBuRJwMCB+hlyfuUQEWWmVq1aBj/OCSHw8OFDPHnyBIsWLbJiZERERERE5uFVPxER5atkXTKqOVTTv1CpgLAwq8ZDRPQq6Nq1q0Gi2cbGBu7u7mjRogUqVapkxciIiIiIiMzDRDMREeWbRF0iFDIFGpdobO1QiIheKdOnT7d2CEREREREecI+momIKN88S3kGL6UX6mrq6icIAcTF6R9CWDc4IqJCzNbWFo8fPzaaHhkZCVtbWytERERERESUM0w0ExFRvolLjUMLlxb6/pkBID4ecHTUP+LjrRobEVFhJjL5MS4pKQlKpbKAoyEiIiIiyjl2nUFERPkiVaRCBhlqampaOxQiolfG119/DQCQyWT44Ycf4OjoKM1LTU3FoUOH2EczEREREb0SmGgmIqI8SxWpiEiKgEauQXXH6tYOh4jolfHVV18B0LdoXrJkiUE3GUqlEmXKlMGSJUusFR4RERERkdmYaCYiolwTQiAyJRLPUp7BR+WDEb4jUEpVytphERG9Mm7dugUACAkJwebNm+Hi4mLliIiIiIiIcoeJZiIiypVYbSweJD+Ak60TBnkPwlDfofBQelg7LCKiV9L+/futHQIRERERUZ4w0UxERDmmEzpEJEUg1DUU4/zGoYpjFWuHRET0yrt37x62bduGO3fuIDk52WDe/PnzrRQVEREREZF5mGgmIqIcExCQy+To59WPSWYionywd+9edOnSBWXLlsW1a9dQrVo1hIeHQwiB2rVrWzs8IiIiIqJs2Vg7ACIievWkilTYyGwgl2Xze6WtLdCzp/6RboArIiIyNHXqVLz99tu4dOkS1Go1Nm3ahLt37yI4OBi9evWydnhERFQMhCeE42T0SSTrkrMvXFglXAHiTgNCWDsSomKJLZqJiChH4lLjEJEYAX+1P0qrS2ddWK0GNmwomMCIiF5hV65cwdq1awEAcrkcCQkJcHR0xMyZM9G1a1eMHj3ayhESEVFRdjL6JD4L/wwCApXsK+GL8l/ARvaKtU18vhV48oP+uSYE8J5s3XiIiqFX7L8GERFZixACD5Ie4GHyQ7RybYXlVZbDR+Vj7bCIiIoEBwcHJCUlAQB8fHzw77//SvOePn1qrbCIiKiYOB59HAL6VsBX46/iWcozK0eUCy+O/vc89mjm5YjIYtiimYiIspSQmoAobRReaF/AReGCd0u/i/5e/SG34VcIEVF+adiwIY4ePYoqVaqgY8eOePvtt3Hx4kVs3rwZDRs2tHZ4RERUxFV3rI69z/cCAPxUfighL2HdgHLDvjqQeEX/3K66dWMhKqaYJSAiIgM6oUNsaiyitFFI0iVBKVPCXemOjm4d0dOzJ6o75uCkLS4OcHTUP4+NBRwcLBM0EdErbv78+YiNjQUATJ8+HbGxsVi3bh3Kly+Pr776ysrRERFRURfqGgpXhSseJD1A0xJNX81GJW79AVVZQBcPaFpYOxqiYukV/M9BRET5TSu0iNZGIyolCjro4GDrgPJ25dHCpQUaODVADU0NqGxU1g6TiKjICggIkJ7b29tj0aJFVoyGiIiKo1qaWqilqWXtMHJPJgM0Ta0dBVGxxkQzEVExlqhLxKOkR0gWyXCRu6C5S3M0K9EM9Z3qo7xdechkMmuHSERUbERFRWHjxo34999/8c4778DV1RVnzpyBp6cnfH19rR0eEREREVGWmGgmIiqGYlNj8SjpEQCgvF15vO71Otq4tkFJZUkrR0ZEVDxduHABrVq1grOzM8LDwzF8+HC4urpiy5YtuH37NlauXGntEImIiIiIssREMxFRMRKjjcGj5EdQyVSo41QHb3i+gVDXUHaLQURkZZMnT8agQYMwd+5caDQaaXr79u3Rt29fK0ZGRERERGQeJpqJiIqBVJGKu4l3IYMMrVxaoa9XXzR0bggbmY21QyMiIgCnTp3C999/bzTd19cXDx8+tEJEREREREQ5w0QzEVERF6ONwcOkhyitLo1JpSehvVt79r1MRFTIqNVqxMTEGE2/du0a3N3drRAREREREVHOMNFMRFSEPUp6hARdAjqW7Ih3/N+Bt8q7YAOwtQU6dPjvORERmdS1a1fMnDkT69evBwDIZDLcuXMH77//Pnr06GHl6IiIiIiIssd7pomIirAXqS/wpveb+LLClwWfZAYAtRrYsUP/UKsLvn4iolfEl19+iSdPnsDDwwMJCQkIDg5G+fLlodFo8Nlnn1k7PCIiIiKibBWrFs1z5szB5s2bcfXqVdjZ2aFx48b44osvEBgYaO3QiIjyXYouBTYyGzR0Yl/MRESFnZOTE44cOYJ9+/bhzJkz0Ol0qF27Nlq1amXt0IiIiIiIzFKsEs0HDx7E2P9n777jo6jzP46/Z2v6ppFCgIQmvSMKCAqoCCfYRUWseIJiw3J6dj3FcirnT0W5Q7CLCnp4coeoKHpiAUFUEJUuBJCSXja7O78/cqyEBEjbTJJ9PX3Mg9nZ7868NxNh5rPf/X6vvlpHH320fD6fbr/9dp188slas2aNoqOjrY4HAPXGG/BqS8kWJTmT1DWmq9VxAABVSExM1E8//aTk5GRddtll+tvf/qbhw4dr+PDhVkcDAAAAaiysurj95z//0SWXXKJu3bqpV69emj17trZs2aIVK1ZYHQ0A6kXADCi7NFubSzarU1Qn/aX9X5TkTLIuUGGhFB1dvhQWWpcDABohr9cbnADwhRdeUElJicWJAAAAgNoLqx7NB8vNzZVU3psEAJq6PF+edpTuUJIzSTe0vkEXpl+oaHsj+LZGUZHVCQCgURo4cKBOP/109evXT6Zp6tprr1VkZGSVbZ9//vkGTgcAAADUTNgWmk3T1NSpU3Xcccepe/fuVscBgDrZ6d2pAl+BRieP1jWtr1G7yHZWRwIAHMHLL7+sJ554QuvXr5dhGMrNzaVXMwAAAJqssC00T5kyRatXr9Znn31mdRQAqDXTNLW1dKvssuv61tdrYsZEJv4DgCYiNTVVDz30kCSpbdu2eumll5SUZOFwRwAAAEAdhGWh+ZprrtGCBQu0dOlStWrVyuo4AFBtpmnKa3pV7C9WcaBY+b58JTmTdFvWbRrTYozV8QAAtbRx40arIwAAAAB1ElaFZtM0dc011+jtt9/Wxx9/rLZt21odCQCqZJqmyswyFQWKgkVlv+mXJDkNpyLtkUp0JmqgZ6AuSr9IR8cdbXFiAAAAAAAQzsKq0Hz11Vfr1Vdf1T//+U/FxsZqx44dkiSPx3PIiVcAIJT2F5SLA8UVCsqmzPKCsi1SCY4EHRN1jDpEdVBmRKbaRLRRm4g2auFsIcMwrH4LAAAAAJq4nLIcPbz5Ye3w7tC41HE6JemUOu3vg70f6JUdryjFlaJbMm9RkrPxDA21LHeZ/rHtH4pzxOmmNjcpIyLD6kiWys3N1SOPPKLt27frnHPO0ejRo62OhCYsrArNM2bMkCSdcMIJFbbPnj1bl1xyScMHAhBW/KZfRf6iYFHZa3olSQ7DoUhbpOIcceob2VdHRR2lzIhMZUZmqo27jVJcKU23oGyzSccf//s6AAAAgEZn7s65+r7we0nSM78+o0GeQYpzxNVqX8X+Yj219Sn55dfust16dceruqb1NfUZt9ZM09TjWx5XSaBEu8p2aXb2bN3R9g6rY1nqjTfe0OrVqyVJzz77rAYNGqT4+HhrQ6HJCqtCs2maVkcAEAZM01RJoKTCsBeGygvFUfYoRduj1SWqi7pEd1HbyLbBXsqprtTmN5FfZKT08cdWpwAAAABwGHbDHly3/e+/2jJklHeUMSvvuzGw6/c8jS2bFez2A869zSYbHYRQB2FVaAaA+uYzfSr0FwZ7KgfMgEyZirBFKNIWqbaRbdU1uqvaRbZT24i2yozMVCt3K7lsLqujAwAslpeXV+22cXG161UGAEB1jEsdpx3eHcouzdY5qecoxhFT631F2CN0Y5sb9dqO15TiStH4tPH1mLRuDMPQn7L+pOe3P684R5wub3m51ZEsd+655yo7O1vbtm3T2WefzTUH6sQwLejmm5eXJ4/Ho9zc3Gb9Czxk+RB5Ta9SXClWRwFQT7wBr/L9+SrwFchremWTTdH2aCU4EtQpupM6RXVSZkSmsiKzlBWRpVhHrNWRAaBBhct1Xn2w2WzVHhrJ7/eHOE3dcN4BAACar+pe69GjGQAOYf8QGAX+AuX78+U3/XIYDsXaY9Uzpqf6x/VX95ju6hLVRS3dLZvuOMqhVFgoZWWVr2/aJEVHW5kGABqVJUuWBNc3bdqkW2+9VZdccokGDhwoSVq2bJleeOEFTZs2zaqIAAAAQLVRaAaAgxT6C5Vdmi1TplyGS3GOOB3nOU794vqpW3Q3dY3uqgRngtUxm47du61OAACN0vH7J0uVdN999+nxxx/X+eefH9w2duxY9ejRQzNnztTFF19sRUQAAACg2ig0A8BBdnp3qnt0d41tMVbdorupc3RnRdmjrI4FAGjGli1bpmeffbbS9v79+2vixIkWJAIAAABqhqkkAeAgATOgwfGDNSF9gvrG9aXIDAAIudatW1dZaH7uuefUunVrCxIBAAAANUOPZgA4QL4vX5KU4c6wOAkAIJw88cQTOuuss7Ro0SIde+yxkqQvvvhC69ev17x58yxOBwAAABwZPZoBQJLf9Gtz8WbtKdujkxNP1ojEEVZHAgCEkdGjR+vnn3/W2LFjtXfvXu3Zs0ennXaafvrpJ40ePdrqeAAAAMAR0aMZQNjLKcvRLu8uZUZk6prW1+gPyX+QzeBzOABAw2rVqpUefPBBq2MAAAAAtUKhGUBY21u2V7m+XJ2deraua32dUlwpVkdqXmw2qX//39cBAIeUk5Ojr776Srt27VIgEKjw3EUXXWRRKgAAAKB6KDQDCFvF/mLtKdujS9Mv1S2Zt8gwDKsjNT+RkdLXX1udAgAavXfffVfjx49XYWGhYmNjK/ybZBgGhWYAAAA0enQvAxCWAmZAW0u3aqBnoK5tfS1FZgCApW688UZddtllys/PV05Ojvbt2xdc9u7da3U8AAAA4IgoNAMIS7m+XHkcHt3Z9k5F2iOtjgMACHPbtm3Ttddeq6ioKKujAAAAALVCoRlAWCrwF6i1u7XaRrS1OkrzVlQkZWWVL0VFVqcBgEZr5MiRWr58udUxAAAAgFpjjGYAYcMX8KkgUKACX4FyfbnqF9uPITNCzTSlzZt/XwcAVOkPf/iDbr75Zq1Zs0Y9evSQ0+ms8PzYsWMtSgYAAABUD4VmAM2SaZoqDhSrwF+gAn+B/KZfNtkUY49RK3crnZZ8ms5IOcPqmAAASJKuuOIKSdJ9991X6TnDMOT3+6u9r6VLl+rRRx/VihUrlJ2drbffflunn376Idt//PHHGjZsWKXta9euVefOnat9XAAAAIQ3Cs0AmgVfwBcsKhcHiiVJEbYIxTni1Dumt3rH9lbnqM7qHN1Zaa40ejIDABqVQCBQb/sqLCxUr169dOmll+qss86q9uvWrVunuLi44OMWLVrUWyYAAAA0fxSaATR5u727tde3V/GOeGVFZqlvbF91ieqiztGd1SGygyLsEVZHBACgwYwaNUqjRo2q8etSUlIUHx9f/4EAADVS4i/Ror2L5DJcOjnpZNkNe4Mcd/iK4dpUskmPdnhUZ6VW/UFlWaBMi/YukmmaGpk0Ui6bq8p2+8r26cO9HyrFlaKhCUPrnO3rHS9oU+G3Oi71IqXH9K6yTcAMaPHexSryF2lk0khF2aueYLfAV6DFexcr1hGrEQkj6IQE1KNqFZrz8vKqvcMDe0EAQCgFzIC2lmyV3bBrcsZknZ96vlJcKVwoAACanF9//VXx8fGKiYmpsL2srEzLli3T0KF1v0k/kj59+qikpERdu3bVHXfcUeVwGvuVlpaqtLQ0+Lgm9wsAgMN7aPNDWpG/QpK0qWSTJreaHPJj9vmyj1YVrJIknfP9OdoVv0vJ7uRK7f7v1//Tkn1LJEk/FP6gW7NurdQmYAZ06y+3art3uyRpn2+fTmtxWq2zfb79OU3beJck6Z+/va3n+n6paFdKpXazs2frnd/ekSR9nfe1HuzwYJX7u2fjPVpXtE6SlF2arQnpE2qdDUBFtuo0io+PV0JCwmGX/W0AINT8pl95vjytL16vBGeCHmj/gK5rfZ1S3akUmQEATUp2drYGDBigzMxMxcfH6+KLL1ZBQUHw+b179x624Fsf0tPTNXPmTM2bN0/z589Xp06dNGLECC1duvSQr5k2bZo8Hk9wad26dUgzAkA42V8ElaSfin5qkGOuL14fXDdl6sN9H1bZbl3hkbMV+AuCRebDtauudflfBtdz/UXaWbTmiNkO/BkeyDTNCnka6ucLhItq9WhesmRJqHMAwCF5A14V+AuU78+XN+CVIUPR9mj1jOmpe9vdqy7RXayOiEMxDKlr19/XAQAV3HrrrbLb7fryyy+Vk5Oj2267TSeccIIWL14c7MRhmmZIM3Tq1EmdOnUKPh44cKC2bt2qv/71r4fsSX3bbbdp6tSpwcd5eXkUmwGgngxPGK4FuxdIkoYlhPbDxv1GJ47W3N/mSpJchktnJp1ZZbsRiSP00o6XDpstzhGn/rH9tTx/ueyy6/j44+uUbXCLcXpvz/sqNcvU0d1KrWMGVNlueOJwrS1aW76eMLzKNoZhaFjCMH207yMZMnRCwgl1ygagIsMM9ZVrFfLy8uTxeJSbm9ush9oYsnyIvKZXKVV8pQNA1QJmQEWBIhX6CpXvz5ckOQyHYuwxahfZTn1j+6prdFd1ie6iNhFtZDOq9cUMAEADCZfrvPqSkZGht99+WwMGlN80l5aWaty4cdq8ebM+/PBDlZWVqWXLlvL7/bXav2EYevvtt3X66afX6HUPPPCAXn75Za1du7Za7TnvAFC/1hWuk8vmUtvItg12zL9v/buW5S3TIx0eqXLYjP3WF61XQAF1jOp4yDZ+06+1hWuV5ExSuju9ztl2F61TduH36pQwUi5HzCHbbS7erKJA0WE7I5mmqR+LflSMPUatI/iQFKiO6l7r1WoywE8//VTPPfecNmzYoDfffFMZGRl66aWX1LZtWx133HG1Dg0gfJUESvRrya8yZSrKFqV4R7wGeQapV2wvdYnuos5RnRXvjLc6JgAA9So3N7fC8HNut1tvvfWWzjnnHA0bNkwvv/yyJblWrlyp9PS6FwYAALXTKbrTkRvVQCAQkM12+E46V7S+QlfoiiPuq31U+yO2sRt2dY/pXu18R5Ic1UnJUUf+mWRGZh6xjWEYfCsWCJEaF5rnzZunCRMmaPz48frmm2+Ck4Dk5+frwQcf1MKFC+s9JIDmb1/ZPmW4MzSl9RR1ieqidpHt5LQ5rY4FAEBItWvXTqtXr1bHjr/3CnM4HHrzzTd1zjnn6NRTT63xPgsKCvTLL78EH2/cuFGrVq1SYmKi2rRpo9tuu03btm3Tiy++KEmaPn26srKy1K1bN3m9Xr388suaN2+e5s2bV/c3CACwxDfffKPZs2dr2bJl+v7771VaWiq3263u3btr4MCBuvTSS9W3b1+rYwJoZmr8nfO//OUvevbZZ/X3v/9dTufvRaBBgwbpm2++qddwAMJHob9QfWP76vQWp6tTdCeKzM1FUZHUrVv5UlRkdRoAaHRGjRqlmTNnVtq+v9jcu3fvGu9z+fLl6tOnj/r06SNJmjp1qvr06aO77rpLUvkEhFu2bAm293q9uummm9SzZ08NGTJEn332md577z2deWbV43MCABqvX375RcOHD1e/fv309ttvq3v37nrooYc0a9YsPfTQQ+revbvefvtt9evXT8OHD6/wwSQA1FWNezSvW7euyklB4uLilJOTUx+ZAISpbjHdrI6A+maa0po1v68DACp44IEHVHSID+IcDofmz5+vX3/9tUb7POGEEw47geCcOXMqPL7lllt0yy231OgYAIDG59VXX9XEiROVnp6u+fPna8yYMXI4Kpd9fD6f3n333eCHjLNmzdL5559vQWIAzU2NezSnp6dX+YnXZ599pnbt2tVLKADhxW+WT3DU2s1EDACA8OJwOA47oYrdbldm5pHHmwQAhLdXX31VF154oc4++2ytXr1aZ5xxRpVFZqn8354zzjhDq1ev1tlnn63x48fr1VdfbeDEAJqjGvdovvLKK3Xdddfp+eefl2EY2r59u5YtW6abbrop+HU8AKgJb8Art82tFFeK1VEAAAAAoEn5+eefNXHiRF144YWaM2dOpUn//H6/9uzZo4SEhApDoEZHRwe/5TJx4kQNGDBAHTp0aMjoAJqZGvdovuWWW3T66adr2LBhKigo0NChQzVx4kRdeeWVmjJlSigyAmjmcn25irHHKMOdYXUUAAAAAGhSrrzySrVs2VIzZsyoUGRetmyZxowdo9i4WKWmpioiMkKDhwzWl19+GWxjs9k0Y8YMpaen649//KMV8QE0IzUuNEvlY8nt3r1bX331lb744gv99ttvuv/+++s7G4Aw4DN9yvPl6ZyUc5TgTLA6DgAAAAA0GStWrNCSJUv06KOPKjo6usJzt/35Nv3r3X+puKhYkhTwB/T5Z59r6AlD9dNPPwXbRUdH69FHH9WSJUv0zTffNGh+AM1LrQrNkhQVFaXU1FS1bNlSMTEx9ZkJQJgwTVPbS7erVUQrXZh+odVxAAAAAKBJmTNnjlq1aqUxY8ZUeq5FixaSpAsnXKj/+7//0znnniNJ8pZ4NWPGjAptx44dq4yMDM2ePTv0oQE0WzUuNPt8Pt15553yeDzKyspSZmamPB6P7rjjDpWVlYUiI4BmyDRNbSndIofh0JRWU5TkTLI6EkLBMKTMzPLFMKxOAwCN2qeffqoLL7xQAwcO1LZt2yRJL730kj777DOLkwEAGqtly5ZpxIgRVU789/eZf9dvv/2ml158SVOmTNGMZ34vLv/6668V2jocDo0YMUJffPFFyDMDaL5qXGieMmWKZs6cqUceeUQrV67UypUr9cgjj2jWrFm65pprQpERQDMTMAPaULxBMbYY3d/ufp2RcobVkRAqUVHSpk3lS1SU1WkAoNGaN2+eRo4cqcjISK1cuVKlpaWSpPz8fD344IMWpwMANFbff/+9evfuXeVz8fHxSk5ODj4+sBdzVa/p3bu3vvvuu/qOCCCMVP7I6whee+01vf766xo1alRwW8+ePdWmTRudd955evbZZ+s1IIDmZ1PJJqW70/Vg+wd1jOcYq+MAAGC5v/zlL3r22Wd10UUX6fXXXw9uHzRokO677z4LkwEAGqtAIKDS0lLFxcUdse0bb7yhO++8U5LUIrWFJk+eXKmNx+NRaWmpAoFAhUkFAaC6avw3R0REhLKysiptz8rKksvlqo9MAJox0zTlN/26MuNKiswAAPzPunXrNHTo0Erb4+LilJOT0/CBAACNns1mk9vtVl5e3mHbvfPOOxo3bpwkyRXh0tvz3lZiYmKldrm5uXK73RSZAdRajf/2uPrqq3X//fcHv84nSaWlpXrggQc0ZcqUeg0HoPkpDhQrwhahzlGdrY6ChlBcLB19dPlSXGx1GgBotNLT0/XLL79U2v7ZZ5+pXbt2FiQCADQF3bt316pVqw75/IIFC3TGGeVDFdoddr337nsaPHhwlW1XrVqlHj16hCImgDBRraEzzjzzzAqPP/jgA7Vq1Uq9evWSJH377bfyer0aMWJE/ScE0OR5A17l+HKU5yv/pL1tZFt1iOpgcSo0iEBAWr7893UAQJWuvPJKXXfddXr++edlGIa2b9+uZcuW6aabbtJdd91ldTwAQCM1cOBAvf322/L5fJUmBFy0aJHOPOv3es5ZZ56lLVu26Pnnn9exxx6rrl27Bp/z+Xz68MMPg0VpAKiNahWaPR5PhcdnnXVWhcetW7euv0QAmjzTNFUUKFKOL0dF/iLZDbsSHAn6Q/IfNNgzWIM8gxRlZ2I4AAD2u+WWW5Sbm6thw4appKREQ4cOldvt1k033cS3BgHAYoX+QkXZomQYhtVRKrn00kv11FNP6d13361UJL7/gfsV0O+dPd544w298cYbkqQTTzpRi99fHHxuwYIF2rZtmy699NIjHtMb8EqSXLbDD5+617tXMY6YI7ZrzD/fRs1fJNkiJIOhTtB4VKvQPHv27FDnANAM+E2/fi39VaX+UkXaI5XqStUJKSfo2Lhj1T+uv2IdsVZHBACg0XrggQd0++23a82aNQoEAuratatiYmKsjgUAYcs0TU3bPE3Lcpcpw52hae2nKcGZYHWsCvr27athw4bppptu0sknn6zo6OjgcwnxCTJ9ZpWvO7BDYWFhoW6++WYNGzZMffv2Pezx/pvzXz225TGZMnVd6+t0QsIJVba7Yu0VWvDbAkXZozS76+wq2/kCPt278V6tKlildhHt9GCHBxVtj67UDlXY+bSU+x/JkSy1ekBytbQ6ESCpmoVmAKiOHd4dinfEa3zGeB3jOUbdo7vLYeOvGQAAqisqKkr9+/e3OgYAQNKPRT9qWe4ySdK20m1avHexzk091+JUlc2cOVM9e/bU5MmTNWfOnOBkfvPemqfffvutytekpKRIkgKBgCZPnqzs7GwtWrToiMd6ZccrKjPLJEkvZb9UZQF5R+kOLfhtgSSpyF+kxzY/VmW7lQUrtapglSRpQ8kGfbLvE41OHn3EDGHPu6O8yCxJvt1Szr+klD9amwn4n1pVgN566y298cYb2rJli7xeb4Xnvvnmm3oJBqBp8Zk+FfmLdGXLK3VlqyutjgMAQJNSWFiohx56SB9++KF27dqlwEHj2m/YsMGiZAAQvuId8bLLLr/8kqRkZ7LFiarWoUMHzZo1S+PHj5ckzZgxQ9HR0XK5XMrIyDjk6woLCzV58mS9/PLLeuWVV9Shw5Hn0UlyJmlr6VZJUrKr6p9HnD1OEbYIlQRKJElp7rQq2yU6EmXIkKnyXteN9efb6NijJSNCMst/vnIkWZsHOECNC81PPvmkbr/9dl188cX65z//qUsvvVTr16/X119/rauvvjoUGQE0AdtKt6mlu6XOST3H6igAADQ5EydO1CeffKIJEyYoPT2dcSoBoBFId6frtqzbtGTfEnWM6qhhCcOsjnRI559/vkzT1MSJE/Xf//5Xjz76qMaOHVtpgkCpfOK/BQsW6Oabb1Z2drZeeeUVnX/++dU6zg1tbtDLO15WwAzowrQLq2wT5YjSP7r8Q49veVzp7nQ90fGJKtu1j2qvm9rcpM9zP1f3mO4a4BlQ/TcczuyxUsZdUs5CydVKSjjd6kRAkGGaZtUD9hxC586ddffdd+v8889XbGysvv32W7Vr10533XWX9u7dq6eeeuqI+8jLy5PH41Fubq7i4uJqHb6xG7J8iLymVymuFKujACGVXZqtgBnQ3e3u1mktTrM6DhqTwkIpK6t8fdMmKZox14DmLlyu8+pbfHy83nvvPQ0ePNjqKLXCeQeAxuGXX37RH//4Ry1ZskQZGRkaMWKEevfuHfw7etWqVfrwww+1bds2DR8+XM8991y1ejIDCG/VvdarcY/mLVu2aNCgQZKkyMhI5efnS5ImTJigY489tlqFZgDNxy7vLpUFynRz5s0UmVFZdLR0iHHhAAC/S0hIUGJiotUxAABNXIcOHfTRRx/pm2++0ezZs/XFF19o7ty5Ki0tldvtVo8ePXTGGWfo0ksvPeLEfwBQUzUuNKelpWnPnj3KzMxUZmamvvjiC/Xq1UsbN25UDTtHA2iifAGf9vj2KM+Xp0hbpK5qdZXGp423OhYAAE3W/fffr7vuuksvvPCCoqKirI4DAGji+vbtW6GQHAgEgpMEAkCo1LjQPHz4cL377rvq27evLr/8ct1www166623tHz5cp155pmhyAigETBNU7m+XO0p2yNTppKdyTo/9XyNTBqpY+KOYSxJAABqqE+fPhX+/fzll1+UmpqqrKwsOZ3OCm2ZcBsAUBcUmQE0hBoXmmfOnBmcBXvSpElKTEzUZ599pjFjxmjSpEn1HhCAtfymX9tLt6vYX6w4R5yOiz9Of0j+g46PP17xznir46GxKy6WRo0qX//3v6XISGvzAEAjcvrpp1sdAQAAAKg3NZ4MsD6Ey2QhTAaIpi5gBrS+aL1aR7TW2Sln66Skk9Q2oi29l1F9hYVSTEz5ekEBkwECYSBcrvNQEecdAACg+arXyQBXr15d7QP37Nmz2m0BNF6maWpj8Ua1jGipJzs9qS7RXayOBABAs9WuXTt9/fXXSkpKqrA9JydHffv21YYNGyxKBgAAAFRPtQrNvXv3lmEYR5zszzAM+f3+egkGwBo+0xcciznJkaQH2z9IkRkAgBDbtGlTldfRpaWl+vXXXy1IBAAAANRMtQrNGzduDHUOABYqCZQopyxH+f58GTLkcXg0LH6YLki7QMd6jrU6HgAAzdaCBQuC64sWLZLH4wk+9vv9+vDDD9W2bVsrogEAAAA1Uq1Cc2ZmZqhzAGhApmmqwF+gHF+OSgIlchpOJTuTdUrSKRroGagBcQOU7Eq2OiYAAM3e/gkBDcPQxRdfXOE5p9OprKwsPfbYYxYkAwAAAGqmWoVmAM1DSaBEu727VeQvUrQ9WlkRWRqWMEzHeI5R75jeirBHWB0RAICwEggEJElt27bV119/reRkPugFAABA00ShGWjmAmZAe8v2ap9vnxyGQ20i2ujUpFM1PHG4OkV1kmEYVkdEcxcVZXUCAGj0GKoOAAAATR2FZqAZ2j80xp6yPSozyxTviNeY5DEanTRag+MHy2VzWR0R4SI6WiostDoFAAAAAAAIsRoVmv1+vz777DP17NlTCQkJocoEoBb8pl+5vlzl+HLkN/2KskWpU1QnndbiNJ2YeKLS3elWRwQAAAAAAEAzVaNCs91u18iRI7V27VoKzUAjUBIoUU5ZjvL9+bLJpjhHnAZ5Bmlo/FAdHXe0joo6SjbDZnVMAAAAAAAANHM1HjqjR48e2rBhg9q2bRuKPACqYV/ZPu0u2y2n4VSyM1mnJJ2iYz3H6ui4o5XiSrE6HvC7khLprLPK1+fNkyKYcBIADubz+fTKK69o5MiRSktLszoOAAAAUCs1LjQ/8MADuummm3T//ferX79+io6OrvB8XFxcvYUDULU9ZXs0MG6grmx1pXrH9FaEneIdGim/X1q48Pd1AEAlDodDkydP1tq1a62OAgCNlmmamrdrnjaXbNbIpJHqHtPd6kgVnPf9efo2/1udm3Ku7m1/b5Vt8nx5mvrTVO0p26Nbs27VMZ5jqmy3tmCt7txwpyLsEfprh78qzV31h5D/3PVP/WP7P9QhqoMe7fCoHLaqSzwf7v1QK/NXakDcAA1NGFplG1/Apzd2vaEd3h0akzxGHaM6Vtku15erV3e8qoAZ0Plp5yvRmVhlOwDhqcaF5lNOOUWSNHbsWBmGEdxumqYMw5CfQgLQINLcaTrWc6zVMQAAQD045phjtGrVKmVmZlodBQAapYV7FuqFHS9IkpblLtOsrrPkcXgsTlVu6k9T9fautyVJD29+WIM8gzQyeWSldletu0qL9yyWJI3/Ybx+OvYn2WyVhzoc/8N4bSvdJkm6xHuJ/tPnP5XabC/Zrqt/ulplgTJ9lfeVIm2RerDDg5Xarc5frelbp0uSluYsVZo7TUdFHVWp3bzf5um1na9Jkr7K/Upzus6pskPTE1ue0Ir8FZKkX0t/1bQO06r8mQAITzUuNC9ZsiQUOQBUQ7G/WHvL9sob8Mpu2K2OAwAA6slVV12lqVOnauvWrVV+a7Bnz54WJQOAxmGnd2dwvdQsVa4vt9EUmtcXrw+umzL1Q9EPGqnKheYdpTuC6wX+ApUEShRli6rUbq9vb3D9N+9vVR5ze+l2lQXKgo9/Lf21yna7ynZVyLbLu6vKQvOBP9/CQKGKAkVVFpoPbLfLu6vS8wDCW40Lzccff3wocgA4hP3F5UJ/odw2tzLcGRqfNl5jW4y1OhoAAKgn48aNkyRde+21wW2GYfCtQQD4n1FJo/RpzqfaXbZbQ+OHqrW7tdWRgu5te6+W5ixVkb9I6a50Tc6YXGW7a1tdqyk/TVFpoFRntjhTUY7KRWZJuiT9Ej277VnZZddVra6qsk1/T38d6zlWX+R+oRh7jK5tdW2V7QZ6Burd397VhpIN6hzVWUfHHV1lu7HJY/VV3lfK9eVqdNLoQw6JcX7q+Xpi6xMyTVMXpF1QZRsA4cswTdOs6Ys+/fRTPffcc9qwYYPefPNNZWRk6KWXXlLbtm113HHHHfH1eXl58ng8ys3NbdZjOg9ZPkRe08vkbKixkkCJ9nj3BIvLLd0tdVLiSRoSP0R9YvvIaXNaHRGonsJCKSamfL2gQDqohx6A5idcrvPq2+bNmw/7fGMfUoPzDqAh+AI+FQYKG01P5gMV+4u1vni9ukR2kd1+6G+fFvgKlOfLU8uIlofd3y7vLrnkUrwr/rDttpRsUYojRRGOQ8/bY5qm8vx5irPHVRgC9WBlgTIVB4oV5zj83+PF/mKZMhVlr7pQDqD5qe61Xo17NM+bN08TJkzQ+PHj9c0336i0tFSSlJ+frwcffFAL90/6BKDG/KZf20u3yxvwqk1EG4rLAACEicZeSAaAxsBhc8hja3xFZkmKtEdWa4LCGEeMYhwxR2xX3Q5rbSLaHLGNYRjVKs47bc5q3XdG2iOrlQ1A+Klxofkvf/mLnn32WV100UV6/fXXg9sHDRqk++67r17DAeHCNE3t9e3VHu8eZURk6IqWV+jMlDPltrmtjgYAABrI+vXrNX36dK1du1aGYahLly667rrr1L59e6ujAQAAAEdUeXrTI1i3bp2GDh1aaXtcXJxycnLqIxMQVsoCZfql+Bd5A15dlH6RXu/+us5PO58iM5qH6GjJNMsXhs0AgENatGiRunbtqq+++ko9e/ZU9+7d9eWXX6pbt25avHix1fEAAACAI6pxj+b09HT98ssvysrKqrD9s88+U7t27eorFxA2dnh3qG1EW03rME29Y3tbHQcAAFjg1ltv1Q033KCHHnqo0vY//elPOumkkyxKBgAAAFRPjXs0X3nllbruuuv05ZdfyjAMbd++Xa+88opuuukmXXVV1bOhAqia3/SrJFCic1LPocgMAEAYW7t2rS6//PJK2y+77DKtWbPGgkQAAABAzdS4R/Mtt9yi3NxcDRs2TCUlJRo6dKjcbrduuukmTZkyJRQZgWap2F+sbaXblOxM1qnJp1odBwiNkhJpwoTy9ZdekiIOPRs2AISzFi1aaNWqVerYsWOF7atWrVJKSvUmhAIAAACsVONCsyQ98MADuv3227VmzRoFAgF17dpVMTFHnjUVgJTvy9dO707ZDbt6xPTQHzP+WO0ZhYEmx++X3nqrfH3OHEujAEBjdsUVV+iPf/yjNmzYoEGDBskwDH322Wd6+OGHdeONN1odDwAAADiiGheaL7vsMv3tb39TbGys+vfvH9xeWFioa665Rs8//3y9BgSaA9M0levL1a6yXYq0RepYz7G6MO1CHR9/vBy2Wn3eAwAAmpE777xTsbGxeuyxx3TbbbdJklq2bKl77rlH1157rcXpAAAAgCMzTNM0a/ICu92u7OzsSl/h2717t9LS0uTz+Y64j7y8PHk8HuXm5iouLq5miZuQIcuHyGt66a0a5vymX5uLN8tlc2lI/BCNTxuvAXEDZBiG1dGA0CsslPZ/46WgQIqOtjYPgJALl+u8+rBgwQKNGjVKTqezwvb8/HxJUmxsrBWxaoXzDgAA0HxV91qv2l0p8/LyZJqmTNNUfn6+Ig4YZ9Pv92vhwoWMHwccpMRfoi2lW5TpztQdbe/QkPghFJgBAIAk6YwzztCOHTvUokWLCp05mlKBGQAAANiv2oXm+Ph4GYYhwzB01FFHVXreMAzde++99RoOaGpM05TX9Ko4UKxif7Hy/fkaGDdQ97W/T20i2lgdDwAANCItWrTQF198oTFjxsg0TT6MBgAAQJNW7ULzkiVLZJqmhg8frnnz5ikxMTH4nMvlUmZmplq2bBmSkEBj4zN9KgmUqMRfUv5noESSZMqUy3Apwh4hj8Ojc1LO0TWtr1GUPcrixAAAoLGZNGmSTjvttGBnjrS0tEO29fv9DZgMAAAAqLlqF5qPP/54SdLGjRvVpk0belyg2TNNU6WBUpUESlQcKFZJoEQ+0yfjf/9F2iIVYYtQu8h26hDZQVmRWcpwZ6iVu5VaRbRSC2cL/j8BAACHdM899+i8887TL7/8orFjx2r27NmKj4+3OhYAAABQK9UuNO+3du1abd26Vccdd5wk6emnn9bf//53de3aVU8//bQSEhLqPSRQXwJmQD7TF1zKzLLy9cDv66ZMGSovEO/vnZzgSFC7yHZqH9lerSJaqZW7lTLcGcpwZyjCHnGEowJhLCqqfBLA/esAgAo6d+6szp076+6779Y555yjKP6uBAAAQBNV40LzzTffrIcffliS9N1332nq1Km68cYb9dFHH2nq1KmaPXt2vYcEqmKapvym//di8cHFY9Mnv+kP9kA2ZUqSHIZDDsMhp+GUw3Aoxh6jBHeCEp2JSnImKcmZJI/DEywkt3K3UpIzid7JQG0YhhQdbXUKAGj07r77bqsjAAAAAHVS40Lzxo0b1bVrV0nSvHnzNGbMGD344IP65ptvNHr06HoPiPBgmqYCClTqZXxwAfnAorEpU3bDHiwY7y8eJzuTleBMUJIjScmuZHkcHsU54sr/tMcpzlG+eOzl2yNsERSRAQAAAACVeANerS9er5bulvI4PIdsl+vL1fbS7WoX2U5um7vOx91QvEFOw6nWEa3rvK8CX4G2lm5VZkRmg80fFDAD+rnoZyU4E5TiSmmQYwKwXo0LzS6XS0VFRZKkDz74QBdddJEkKTExUXl5efWbDk1KwAzIb/qDPYn9+n394D9NmbLJFnytX37ZZf+9p7GtvHCcYE9QgrO8t/H+AvKBxeL96/uLyTH2GNkNu4U/BQAVlJZKV15Zvv7cc5K77hfdAAAAQEMoDZTqlp9v0YaSDYqxx+iRDo9UWfjdVrJNN/9ys/L9+cqKyNKjHR6t0xCLs7fP1vzf5suQoUkZkzQ6ufad+vaW7dXUn6dqT9kepbpS9XjHxxXniKv1/qpr2qZp+iLvCzkMh+7IukP94vqF/JgArFfjQvNxxx2nqVOnavDgwfrqq680d+5cSdJPP/2kVq1a1XtANJz9vYr3F4SDBeMDC8X6vWBsky04lvH+HsYOwyG7Yf/9TzkUYYtQrD1WcY44xTviFe+Il8fhUYw9RtH2aMXYYxTjiFG0LVoxjphgz+NYR2y9fBIMwEI+n/TCC+XrTz9NoRkAAABNxi9Fv2hDyQZJUoG/QP/N+a/OSzuvUrtlucuU78+XJG0q2aSfin5Sz9ietT7u+3vfl1R+n7147+I6FZpX5K3QnrI9kqSd3p36Nv9bDUkYUuv9VUeeL09f5H0hSfKZPn207yMKzUCYqHGh+amnntJVV12lt956SzNmzFBGRoYk6d///rdOOeWUeg/Y1OX78oNjA1tt/0R4+wvF+ye9O3AoCptsFQvF//tz/zATcfbyYnGCM0GxjtiKxeID1g/cxtAUAAAA1VdSUqKICCYbBgCrpbvTFWWLUlGg/FvdHaI6VNmufVT74HqELUIt3S3rdNwOkR20qmBV+b4j2x++8RFkRWbJJpsCCshhOJQVmVWn/VVHtD1aaa407fDukFT+fgCEB8M0zQavgubl5cnj8Sg3N1dxcaH/yoZVJq6dqPVF662OERRhi5DH4ZHH4fm9V7EjJlgQPlzR2GlzWh0fQFNUWCjFxJSvFxQwMSAQBsLlOq++BQIBPfDAA3r22We1c+dO/fTTT2rXrp3uvPNOZWVl6fLLL7c64mFx3gE0V5uKN+m/uf/VUVFH6ei4ow/Zbnnecv1U9JOO9RyrdpHt6nTMIn+RFu5eKLfNrVFJo+Sw1biPYAXfFXyn1QWr1Te2r7pEd6nTvqprt3e3Ptj7gVq4Wmh4wnA6nwFNXHWv9WpcaN6yZcthn2/Tpk29hQMANHEUmoGww3Ve7dx333164YUXdN999+mKK67Q999/r3bt2umNN97QE088oWXLllkd8bA47wAAAM1Xda/1avyxWFZW1mE/ifL7/TXdJQAAABDWXnzxRc2cOVMjRozQpEmTgtt79uypH3/80cJkAAAAQPXUuNC8cuXKCo/Lysq0cuVKPf7443rggQfqLRgAAAAQLrZt26YOHSqPYRkIBFRWVmZBIgAAAKBmalxo7tWrV6Vt/fv3V8uWLfXoo4/qzDPPrJdgAAAAQLjo1q2bPv30U2VmZlbY/uabb6pPnz4WpQIAAACqr24jyh/gqKOO0tdff11fuwMANAdRUdKuXb+vAwCqdPfdd2vChAnatm2bAoGA5s+fr3Xr1unFF1/Uv/71L6vjAQAAAEdU40JzXl5ehcemaSo7O1v33HOPOnbsWG/BAADNgGFILVpYnQIAGr0xY8Zo7ty5evDBB2UYhu666y717dtX7777rk466SSr4wEAAABHVONCc3x8fKXJAE3TVOvWrfX666/XWzAAAAAgnIwcOVIjR460OgYAAABQKzUuNC9ZsqTCY5vNphYtWqhDhw5yOOptJA4AQHNQWipNnVq+/vjjktttbR4AaKS+/vprBQIBHXPMMRW2f/nll7Lb7erfv79FyQAAAIDqqXFl+Pjjjw9FDgBAc+TzSc88U77+yCMUmgHgEK6++mrdcsstlQrN27Zt08MPP6wvv/zSomQAAABA9VSr0LxgwYJq73Ds2LG1DgMAAACEozVr1qhv376Vtvfp00dr1qyxIBEAAABQM9UqNJ9++unV2plhGPL7/XXJAwAAAIQdt9utnTt3ql27dhW2Z2dnMzwdAAAAmgRbdRoFAoFqLRSZAQAAgJo76aSTdNtttyk3Nze4LScnR3/+85910kknWZgMAAAAqB66RwAAAAAWe+yxxzR06FBlZmaqT58+kqRVq1YpNTVVL730ksXpAAAAgCOrVo9mSfroo4/UtWtX5eXlVXouNzdX3bp109KlS+s1HAAAABAOMjIytHr1aj3yyCPq2rWr+vXrp7/97W/67rvv1Lp1a6vjAQAAAEdU7R7N06dP1xVXXKG4uLhKz3k8Hl155ZV64oknNHTo0HoNCAAAAISD6Oho/fGPf7Q6BgAAAFAr1S40f/vtt3r44YcP+fzJJ5+sv/71r/USCgDQTERGShs3/r4OADisNWvWaMuWLfJ6vRW2jx071qJEAAAAQPVUu9C8c+dOOZ3OQ+/I4dBvv/1WL6EAAM2EzSZlZVmdAgAavQ0bNuiMM87Qd999J8MwZJqmJMkwDEli0m0Ah/TB3g/07m/vKjMyU1dlXKUIe4TVkZqEb/O/1QvZL8jj8Oia1tco0ZlYZbt3f3tXi/cu1lFRR2lSxiQ5bEx1BQCHUu0xmjMyMvTdd98d8vnVq1crPT29XkIBAAAA4eS6665T27ZttXPnTkVFRemHH37Q0qVL1b9/f3388cdWxwPQSP3m/U1Pbn1SG0o2aMm+JXrnt3esjtQkmKapaZum6efin7U8f7lmbZ9VZbtNxZs0c/tMbSzZqEV7F2nR3kUNnBQAmpZqF5pHjx6tu+66SyUlJZWeKy4u1t13361TTz21XsMBAJo4r1e6+eby5aCvgQMAfrds2TLdd999atGihWw2m2w2m4477jhNmzZN1157rdXxADRSPtMnU2bwcZlZZmGapuXAn5U3UPV16sE/z0O1AwCUq3ah+Y477tDevXt11FFH6ZFHHtE///lPLViwQA8//LA6deqkvXv36vbbbw9lVgBAU1NWJv31r+VLGTc+AHAofr9fMTExkqTk5GRt375dkpSZmal169ZZGQ1AI5buTteEtAnyODzqEd1Dp7c43epITYJhGLqu9XVKdCQqKyJLl6RfUmW7jlEddWaLMxVnj1O/2H4alTSqYYMCQBNT7cGFUlNT9fnnn2vy5Mm67bbbKowbN3LkSD3zzDNKTU0NWVAAAACguerevbtWr16tdu3a6ZhjjtEjjzwil8ulmTNnql27dlbHA9CInZt6rs5NPdfqGE3O0IShGpow9IjtLm15qS5teWkDJAKApq9Go9hnZmZq4cKF2rdvn3755ReZpqmOHTsqISEhVPkAAACAZu+OO+5QYWGhJOkvf/mLTj31VA0ZMkRJSUmaO3euxekAAACAI6vVdKkJCQk6+uij6zsLAAAAEJZGjhwZXG/Xrp3WrFmjvXv3KiEhQYZhWJgMAAAAqJ5aFZoBAAAAhMbWrVtlGIZatWpldRQAAACg2qo9GSAAAACA0PD5fLrzzjvl8XiUlZWlzMxMeTwe3XHHHSpjMlUAAAA0AfRoBgAAACw2ZcoUvf3223rkkUc0cOBASdKyZct0zz33aPfu3Xr22WctTggAAAAcHoVmAEDoREZK33//+zoAoEqvvfaaXn/9dY0aNSq4rWfPnmrTpo3OO+88Cs0AAABo9Cg0AwBCx2aTunWzOgUANHoRERHKysqqtD0rK0sul6vhAwEAAAA1RKE5hB77NEdbc3xWxwAAADXgibDpz8MS5HYYVkdBGLn66qt1//33a/bs2XK73ZKk0tJSPfDAA5oyZYrF6QAAAIAjo9AcQu/8UKjt+X5FcKMKIEw5fV5d8cFTkqS/nzhFZQ565aFxKy4z1TLOrluOj5db/PuNhrNy5Up9+OGHatWqlXr16iVJ+vbbb+X1ejVixAideeaZwbbz58+3KiYAAABwSBSaQyw5yq6UGLvVMQDAEu7SMl39/nRJ0pKzrlGp22ltIOAI1u8pU+90t6JdNqujIMzEx8frrLPOqrCtdevWFqUBAAAAao5CMwAAwP8EJPVv5bY6BsLQ7NmzrY4AAAAA1AnddQAAACT5AqZshtQukc/h0fCKi4tVVFQUfLx582ZNnz5d77//voWpAAAAgOqj0AwAAKDy8ZkjHYZaeyg0o+GddtppevHFFyVJOTk5GjBggB577DGddtppmjFjhsXpAAAAgCOj0AwAAKDyQnO0y6aMOArNaHjffPONhgwZIkl66623lJaWps2bN+vFF1/Uk08+WaN9LV26VGPGjFHLli1lGIbeeeedI77mk08+Ub9+/RQREaF27drp2Wefrc3bAAAAQBij0AwAACCpwBtQlxSnXA7D6igIQ0VFRYqNjZUkvf/++zrzzDNls9l07LHHavPmzTXaV2FhoXr16qWnnnqqWu03btyo0aNHa8iQIVq5cqX+/Oc/69prr9W8efNq/D4AAAAQvuiyAwAAIClgSj3TXFbHQJjq0KGD3nnnHZ1xxhlatGiRbrjhBknSrl27FBcXV6N9jRo1SqNGjap2+2effVZt2rTR9OnTJUldunTR8uXL9de//lVnnXVWjY4NIDwEAgE9s+0ZSdKkjEly2OpWWliVv0rv7X5PwxOHa6BnYJ3zfZH7hYr9xRoSP6TO2aprQ/EG/Vz0s/rG9lULV4tDtluRt0I5vhwN9gxWhD2iQbIBQEOh0AwACJkyp1tT7/p3cB1orEzTlGmK8ZlhmbvuuksXXHCBbrjhBo0YMUIDB5YXWt5//3316dMnpMdetmyZTj755ArbRo4cqVmzZqmsrExOp7PSa0pLS1VaWhp8nJeXF9KMABqX8344T5/s+0SS9Mm+T/Rmzzdrva+1BWs19tuxKg2U6plfn9Hc7nN1XMJxtd7fS9kv6Y1db0iSPs/9XLe3vb3W+6quHwt/1K2/3Cq//PI4PHq609PyODyV2i34bYH+vv3vkqRFexbpkY6PhDwbADQkhs4AAIRMwGbXz+166+d2vRWw2a2OAxxSwJRshhQfyaURrHH22Wdry5YtWr58uf7zn/8Et48YMUJPPPFESI+9Y8cOpaamVtiWmpoqn8+n3bt3V/maadOmyePxBJfWrVuHNCOAxmV1werf1wtXH6blkS3NWarSQPkHVz7Tp4/2fVSn/X1b8G1wfVXBqjrtq7q+K/hOfvklSbm+XG0urnrIo1X5v+dZW7RW3oC3IeIBQIPhbgoAAIQ9r9+U0y55Irg0gnXS0tLUp08f2Wy//x4OGDBAnTt3DvmxDaPi2OSmaVa5fb/bbrtNubm5wWXr1q0hzwig8Tgm7pgq12vjxMQTFWWPkiS5bC6NThpdp/0NiBtQb9mqq09sH7mM8uG3kp3JahvZtupsnt+z9Y7pLZeNIbsANC98PxQAEDIOn1dj3v+HJOndkyfK5+BiGo1TbklACZF2dUyqPEQA0NylpaVpx44dFbbt2rVLDodDSUlJVb7G7XbL7WZIJCBcvdDtBb2c/bIk6YLUC+q0r/ZR7fV+n/e1aM8iDY0fqp6xPeu0v3NTz1XnqM4qDhTr6Lij67Sv6uoQ1UFPHvWkNpZsVI+YHop1xFbZ7pSkU5QZkal9ZfsaLBsANCQKzQCAkLH7fbrsjfslSQtHXEKhGY1WvtfU6E4RinLRoxnhZ+DAgXr33XcrbHv//ffVv3//KsdnBgBJujD9wnrbV8eojuoY1bHe9lfXYnVtZERkKCMi44jtukR3aYA0AGAN7qYAAEBYK58I0NSA1sz8juahoKBAq1at0qpVqyRJGzdu1KpVq7RlyxZJ5cNeXHTRRcH2kyZN0ubNmzV16lStXbtWzz//vGbNmqWbbrrJivgAAABooujRDAAAwpopyWYYinBUPRYt0NQsX75cw4YNCz6eOnWqJOniiy/WnDlzlJ2dHSw6S1Lbtm21cOFC3XDDDXr66afVsmVLPfnkkzrrrLMaPDsAAACaLgrNAAAgrP1vzjMdYs4zoMG89NJLevbZZ7Vx40YtW7ZMmZmZmj59utq2bavTTjut2vs54YQTgpP5VWXOnDmVth1//PH65ptvahMbAAAAkMTQGQAAIIz5AqY27PWpZZxd7RL5/B3WmTFjhqZOnarRo0crJydHfr9fkhQfH6/p06dbGw4AAACoBgrNAAAgLHn9pjbsLVP7JIeeGpusrAQmPYN1/u///k9///vfdfvtt8tutwe39+/fX999952FyQAAAIDqoesOAAAIO6ZpatO+MvVIc+ux0YnKpMgMi23cuFF9+vSptN3tdquwsNCCRAAAAEDNUGgGAIRMmdOt2/40L7gONBaFZaainDbdNTyeIjMahbZt22rVqlXKzMyssP3f//63unbtalEqAAAAoPooNAMAQiZgs+v7LoOsjgFUklsSUFqMXV1TXFZHASRJN998s66++mqVlJTINE199dVXeu211zRt2jT94x//sDoeAAAAcEQUmgEAQNgp8poa3C1CDrthdRRAknTppZfK5/PplltuUVFRkS644AJlZGTob3/7m8477zyr4wEAAABHRKEZABAydl+ZRn78siRp0QkXyu9giAJYzzRNyZA6t+D3EY2Dz+fTK6+8ojFjxuiKK67Q7t27FQgElJKSYnU0AAAAoNooNAMAQsbhL9Pkl/8sSfpwyDgKzWgUSn2mXDapbSK/j2gcHA6HJk+erLVr10qSkpOTLU4EAAAA1JzN6gAAAAANpcxvanOOT1mJTnVKptCMxuOYY47RypUrrY4BAAAA1Bo9mgEAQFjw+kxt2lemHmkuPXFqsmLcfN6OxuOqq67SjTfeqF9//VX9+vVTdHR0hed79uxpUTIAAACgeig0AwCAZs8fMLVxX5n6Zbj1+B+SlB7HJRAal3HjxkmSrr322uA2wzBkmqYMw5Df77cqGgAAAFAt3GUBAIBmb29xQMnRdj1GkRmN1MaNG62OAAAAANQJd1oAAKDZyykO6Ixu0WpJkRmNVGZmptURAAAAgDrhbgsAADRrBd6AXHZpdKdIq6MAh/Tiiy8e9vmLLrqogZIAAAAAtUOhGQAQMmUOl+69/qXgOtDQTNPU9jy/hmS5NSgzwuo4wCFdd911FR6XlZWpqKhILpdLUVFRFJoBAADQ6FFoBgCETMDu0PLeJ1odA2FsX3FAMS5DVw/0yG4zrI4DHNK+ffsqbfv55581efJk3XzzzRYkAgAAAGrGZnUAAACAUDBNU7uL/BrdKUp9WrqtjgPUWMeOHfXQQw9V6u0MAAAANEb0aAYAhIzdV6YTls2XJH088Ez5HU6LEyGc7CkKKD7Crkv6xVodBag1u92u7du3Wx0DAAAAOCIKzQCAkHH4y3T9rOslSZ8NGEOhGQ3GNE3tLQ7ooj4xap/E7x0avwULFlR4bJqmsrOz9dRTT2nw4MEWpQIAAACqj0IzAABodnwByWmThrePtDoKUC2nn356hceGYahFixYaPny4HnvsMWtCAQAAADVAoRkAADQ7ZQFTTruhhEimo0DTEAgErI4AAAAA1Al3XwAAoNkpKTPlotCMJuS+++5TUVFRpe3FxcW67777LEgEAAAA1Ax3XwAAoFkxTVO7i/wa2MatlBi71XGAarn33ntVUFBQaXtRUZHuvfdeCxIBAAAANUOhGQAANCs5JQHFuGy6rH+sDMOwOg5QLaZpVvn7+u233yoxMdGCRAAAAEDNMEYzAABoVvYUBTSyY6R6prutjgIcUUJCggzDkGEYOuqooyoUm/1+vwoKCjRp0iQLEwIAAADVQ6EZABAyZQ6XHrpqZnAdaChdUvh9Q9Mwffp0maapyy67TPfee688Hk/wOZfLpaysLA0cONDChAAAAED1UGgGAIRMwO7QfweMsToGwkjANGWaUss4xmZG03DxxRdLktq2batBgwbJ6XRanAgAAACoHQrNAACgWTBNUxv3+ZThsas3w2agiTn++OOD68XFxSorK6vwfFxcXENHAgAAAGqEyQABACFj8/s0+Kt3Nfird2Xz+6yOg2Zua65f8RE2PXhyolrH81k6mpaioiJNmTJFKSkpiomJUUJCQoUFAAAAaOwoNAMAQsbp8+rWZ/6oW5/5o5w+r9Vx0IztK/bLZkh3DEvQMW0irI4D1NjNN9+sjz76SM8884zcbrf+8Y9/6N5771XLli314osvWh0PAAAAOCK6+wAAgCYvr9RU73SXRneOsjoKUCvvvvuuXnzxRZ1wwgm67LLLNGTIEHXo0EGZmZl65ZVXNH78eKsjAgAAAIdFj2YAANDkeX2muqYwiRqarr1796pt27aSysdj3rt3ryTpuOOO09KlS62MBgAAAFQLhWYAANCkBUxTktQ+iUIzmq527dpp06ZNkqSuXbvqjTfekFTe0zk+Pt66YAAAAEA1UWgGAABNWk5xQJ4ImwYxNjOasEsvvVTffvutJOm2224LjtV8ww036Oabb7Y4HQAAAHBkjNEMAACatH3FAY3oEKkMD5c1aLpuuOGG4PqwYcP0448/avny5Wrfvr169eplYTIAAACgergjAwAATd6AVm6rIwD1pqSkRG3atFGbNm2sjgIAAABUG0NnAABCxmd3avrl0zX98uny2Rk/F6FhSop0GlbHAOrE7/fr/vvvV0ZGhmJiYrRhwwZJ0p133qlZs2ZZnA4AAAA4MgrNAICQ8Tuc+nDIOH04ZJz8DgrNCA3TlJx2Cs1o2h544AHNmTNHjzzyiFwuV3B7jx499I9//MPCZAAAAED1hF2heenSpRozZoxatmwpwzD0zjvvWB0JAADUgSlTLgrNaOJefPFFzZw5U+PHj5fdbg9u79mzp3788UcLkwEAAADVE3aF5sLCQvXq1UtPPfWU1VEAoNmz+X3qv+oD9V/1gWx+n9Vx0AyZpilDhpz2I7cFGrNt27apQ4cOlbYHAgGVlZVZkAgAAACombCbDHDUqFEaNWqU1TEAICw4fV7dPX2CJOns59ar1B52/+wgxEr9ktMuRTnD7rNzNDPdunXTp59+qszMzArb33zzTfXp08eiVAAAAED1cccPAACarOw8nzomO9Uvw211FKBO7r77bk2YMEHbtm1TIBDQ/PnztW7dOr344ov617/+ZXU8AAAA4Ijo/gMAAJqkUp+pgKSL+sbK7WCMZjRtY8aM0dy5c7Vw4UIZhqG77rpLa9eu1bvvvquTTjrJ6ngAAADAEdGjGQAANEm5JQElRdo06qhIq6MAtbZhwwa1bdtWhmFo5MiRGjlypNWRAAAAgFqhRzMAAGiSfAFTsW6bIhifGU1Yx44d9dtvvwUfjxs3Tjt37rQwEQAAAFA73JkBAIAmyR+Q4txcyqBpM02zwuOFCxeqsLDQojQAAABA7YXd0BkFBQX65Zdfgo83btyoVatWKTExUW3atLEwGQAAqC7TNFXsC6hXS5fVUQAAAAAACsNC8/LlyzVs2LDg46lTp0qSLr74Ys2ZM8eiVADQPPnsTs248MHgOlBfCr2mIp02nXJUlNVRgDoxDEOGYVTaBgAAADQ1YVdoPuGEEyp9RREAEBp+h1MLT7zU6hhoZkzT1I4Cv3qlu9Q7nR7NaNpM09Qll1wit9stSSopKdGkSZMUHR1dod38+fOtiAcAAABUW9gVmgEAQNO2pyigKKehKQM99PxEk3fxxRdXeHzhhRdalAQAAACoGwrNAICQsQX86rruS0nSmk7HKGCzW5wITZ3Xb2pvcUCX9Y/RcVkRVscB6mz27NlWRwAAAADqBYVmAEDIOMtKNe3hsyRJZz+3XqVuxtNF3ewp8qu1x66rjvVYHQUAAAAAcACb1QEAAACqq8wvZcQ5FOvmEgYAAAAAGhPu0gAAQJNR4jOVFssQLAAAAADQ2FBoBgAATcK2PJ9iXIaObxtpdRQAAAAAwEEoNAMAgEZvW55PhqQ/HR+v0Z0Z6xsAAAAAGhsKzQAAoFHbW+SXaZYXmc/tGWN1HAAAAABAFSg0AwCARm1vcUAntIugyAwAAAAAjZjD6gAAgObLb3fo+XPvDK4DNeULmJKkYe0YlxkAAAAAGjPu+gEAIeNzuPT26KusjoEmbF9xQAmRNg3KjLA6CgAAAADgMBg6AwAANFo5xQENzYpQcrTd6igAAAAAgMOgRzMAIGRsAb/ab/pOkrQ+q4cCNoqFqL4SnymHTTqlU5TVUQAAAAAAR0ChGQAQMs6yUj1+3yhJ0tnPrVepm4Ihqm9fkV+psXYNbMOwGQAAAADQ2DF0BgAAaJQKvKaOz4qQ22FYHQUAAAAAcAQUmgEAQKPjC5iyGdJAJgEEAAAAgCaBQjMAAGh0yvymXA5DrTyM8gUAAAAATQG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\n",
      "text/plain": [
       "<Figure size 1800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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i+/fvKzlqVlpYWFiF/wdy/sOUobLrkCmHvD4ofU/Hatf48eOF/1sbN25MPXv25EHmvwgeaFa+ESNGkImJCWloaJCpqSkNGTKEEhISVB1WnfPzzz9T+/btSUtLi6ytrWn79u2qDqlOOnfuHAGg5ORkpbctIuLvoDLGGGOMMcYYY4wxxhirvmo/o5kxxhhjjDHGGGOMMcYYA3igmTHGGGOMMcYYY4wxxlgN8UAzY4wxxhhjjDHGGGOMsRrhgWbGGGOMMcYYY4wxxhhjNcIDzYwxxhhjjDHGGGOMMcZqhAeaGWOMMcYYY4wxxhhjjNUIDzQzxhhjjDHGGGOMMcYYqxEeaGbsH+L27dsQiUSQSqVKa3PXrl2oX7++8D4gIAAdOnQQ3vv4+GDQoEFKi+efLiAgAEZGRhCJRDhx4oTcMkXOuSqumQ8pPDwcIpEIz58/V3UojDHGGGPsH0Jezl3b7ZW8h/q7ycrKQu/evSGRSGTuDRljdRMPNDP2NyASiSp8+fj4qCSuESNGICUlRSVtK6K8AdW/00B4UlISAgMDsW3bNmRmZqJPnz5yyzZs2IBdu3ZVaZ/m5ubIzMxE+/btP2isykrKGWOMMcb+rnx8fOTm9X/88ccH2X/pCSGsauTl1x+SMvPkY8eOwd3dHY0aNarW5BJLS0usX7++0nrr1q1DZmYmpFLpB703rGr7jLG/FnVVB8AYq1xmZqbw9+DgYCxevBjJyclCmVgsxrNnz5Qel1gshlgsVnq7dVFaWhoAwNPTEyKRqNwyLS2tKu+zXr16MDY2/sCRMsYYY4yxqvDw8EBQUJBMWePGjVUUTfn+/PNPaGhoqDoMpZCXX1fHX+Gc5eXlwdnZGcOGDcOkSZNqrZ20tDR06tQJrVu3rrU2aiI/Px+ampqqDoOxOoNnNDP2N2BsbCy8DAwMIBKJypQVS09PR/fu3aGjowM7OztERUXJ7Ovq1avo1q0bxGIxzM3N4efnh7y8vHLbvnnzJrp37w49PT3o6+ujU6dOiImJAVD1mRLff/89TExMYGhoiGnTpuHPP/8Utj179gzjxo1DgwYNoKOjgz59+iA1NVXYLu+rZOvXr4elpaVMWVBQENq2bQttbW1YW1vjhx9+ELY1b94cANCxY0eIRCJ8+umnCAgIwO7du/Hf//5XmEESHh4OAHjw4AFGjBiBBg0awNDQEJ6enrh9+3aFx5iQkIB+/fpBX18fenp6cHFxERLVoqIifPPNNzAzM4OWlhY6dOiAs2fPyny+ojYDAgIwYMAAAICamhpEIpHcMqDsLO2ioiKsWrUKrVq1gpaWFpo1a4Zly5YBkD/TOzExEX379oWuri6MjIwwduxY5OTkCNs//fRT+Pn5Ye7cuWjYsCGMjY0REBAgbC/ul8GDB0MkEpXpp2KOjo6YP3++TNnjx4+hoaGBsLAwAMC+ffvg4OAAPT09GBsbY/To0cjOzi63Dz7EtZKfnw9fX1+YmJhAW1sblpaWWLFiRbltMsYYY4xVl5aWlkxOb2xsjHr16gEAfv75Z3Tq1Ana2tpo0aIFAgMDUVBQIHx27dq1sLGxgUQigbm5OaZOnYpXr14BeP94sc8//xy5ublCnlucr8mbUVu/fn3hG3HF+eHhw4fx6aefQltbG/v27QNQcQ4lz5EjR2BjYwOxWAxDQ0P06tVLuO8ozlkDAwPRpEkT6OvrY/LkycjPzxc+f/bsWXTt2hX169eHoaEh+vfvL+TXxe7fv4+RI0eiYcOGkEgkcHBwwPXr14XtlZ3HksrLryvL5Ss6ZyVVlifv3bsXlpaWMDAwwMiRI/Hy5UthGxFh9erVaNGiBcRiMezs7HDkyJEKz//YsWOxePFi9OrVq9w6AQEBaNasGbS0tGBqago/Pz8A73P+O3fuYObMmcI1JI+lpSWOHj2KPXv2yHzTNjc3F1988YXQtz169MDNmzeFz6WlpcHT0xNGRkbQ1dXFxx9/jAsXLgjby2u/Kvl+8bW1YsUKmJqawsrKCkD17vEYY4rjgWbG/mEWLFiA2bNnQyqVwsrKCqNGjRKSqfj4eLi7u2PIkCG4desWgoODERkZCV9f33L35+XlBTMzM0RHRyM2Nhbz589X6LfzYWFhSEtLQ1hYGHbv3o1du3bJPNrBx8cHMTExCAkJQVRUFIgIffv2lRmMrsyOHTuwYMECLFu2DElJSVi+fDkWLVqE3bt3AwBu3LgBALhw4QIyMzNx7NgxzJ49G8OHD4eHhwcyMzORmZkJJycnvH79Gt27d4euri4uX76MyMhI6OrqwsPDQybxLenBgwfo1q0btLW1cenSJcTGxmL8+PHCed+wYQPWrFmD77//Hrdu3YK7uzsGDhwoDKhX1ubs2bOF2S7Fscork+err77CqlWrsGjRIiQmJuLAgQMwMjKSWzczMxOurq7o0KEDYmJicPbsWTx69AjDhw+Xqbd7925IJBJcv34dq1evxjfffIPQ0FAAQHR0NID3NyKZmZnC+9K8vLxw8OBBEJFQFhwcDCMjI7i6ugJ4P+i7dOlS3Lx5EydOnEBGRkaNHxNT2bWyceNGhISE4PDhw0hOTsa+ffvKHSxnjDHGGKsN586dw5gxY+Dn54fExERs27YNu3btEiYLAO8HQjdu3IjffvsNu3fvxqVLlzB37lwAgJOTE9avXw99fX2Z3FER8+bNg5+fH5KSkuDu7l5pDlVaZmYmRo0ahfHjxyMpKQnh4eEYMmSITO538eJFJCUlISwsDAcPHsTx48cRGBgobM/Ly8OsWbMQHR2NixcvQk1NDYMHD0ZRUREA4NWrV3B1dcXDhw8REhKCmzdvYu7cucL2qpzHksrLryvL5cs7Z6VVlCenpaXhxIkTOHnyJE6ePImIiAisXLlS2L5w4UIEBQVh69atSEhIwMyZMzFmzBhERESU04OVO3LkCNatW4dt27YhNTUVJ06cgI2NDYD3j90wMzPDN998U+G9RnR0NDw8PDB8+HBkZmZiw4YNICL069cPWVlZOH36NGJjY2Fvb4+ePXvi6dOnAN73Xd++fXHhwgXExcXB3d0dAwYMwN27dxVqvzzF11ZoaChOnjxZrXs8xlg1EWPsbyUoKIgMDAzKlGdkZBAA+vHHH4WyhIQEAkBJSUlERDR27Fj64osvZD535coVUlNTozdv3shtT09Pj3bt2lWlWJYsWUJ2dnbCe29vb7KwsKCCggKhbNiwYTRixAgiIkpJSSEA9Msvvwjbc3JySCwW0+HDh+Xuk4ho3bp1ZGFhIbw3NzenAwcOyNRZunQpOTo6EtH/n5u4uDiZOt7e3uTp6SlTtnPnTmrTpg0VFRUJZe/evSOxWEznzp2Tex6++uorat68OeXn58vdbmpqSsuWLZMp+/jjj2nq1KlVbvP48eNU+p9seWUlj+nFixekpaVFO3bskBtX6fOyaNEicnNzk6lz7949AkDJyclEROTq6kpdu3Ytcyzz5s0T3gOg48ePy22zWHZ2Nqmrq9Ply5eFMkdHR5ozZ065n7lx4wYBoJcvXxIRUVhYGAGgZ8+eEdGHuVamT59OPXr0kOkLxhhjjLEPzdvbm+rVq0cSiUR4DR06lIiIXFxcaPny5TL19+7dSyYmJuXu7/Dhw2RoaCi8L++eQV6eZmBgQEFBQUT0//nh+vXrZepUlkOVFhsbSwDo9u3bcrd7e3tTw4YNKS8vTyjbunUr6erqUmFhodzPZGdnEwCKj48nIqJt27aRnp4ePXnyRG796pxHefl1Zbl8eedMHnnnf8mSJaSjo0MvXrwQyubMmUNdunQhIqJXr16RtrY2Xb16VeZzEyZMoFGjRlXaZnn3QmvWrCErK6ty72EsLCxo3bp1le7f09OTvL29hfcXL14kfX19evv2rUy9li1b0rZt28rdT7t27WjTpk0Vtl+VfN/b25uMjIzo3bt3Qll17vEYY9XDz2hm7B/G1tZW+LuJiQkAIDs7G9bW1oiNjcUff/yB/fv3C3WICEVFRcjIyEDbtm3L7G/WrFmYOHEi9u7di169emHYsGFo2bJlleP56KOPhK8AFscUHx8P4P1iG+rq6ujSpYuw3dDQEG3atEFSUlKV9v/48WPcu3cPEyZMkHn2WEFBgcwjRaqq+Bzp6enJlL99+7bMV/WKSaVSuLi4yJ3p/eLFCzx8+BDOzs4y5c7OzsLXx6rTZlUkJSXh3bt36NmzZ5Xqx8bGIiwsDLq6umW2paWlCV87K3mNAe/7tKJHWsjTuHFj9O7dG/v374eLiwsyMjIQFRWFrVu3CnXi4uIQEBAAqVSKp0+fCrNT7t69i3bt2inUHlC1a8XHxwe9e/dGmzZt4OHhgf79+8PNzU3hthhjjDHGKtO9e3eZ3EcikQB4n5NFR0fLzLwtLCzE27dv8fr1a+jo6CAsLAzLly9HYmIiXrx4gYKCArx9+xZ5eXnCfmrCwcFB+Ht18m07Ozv07NkTNjY2cHd3h5ubG4YOHYoGDRrI1NHR0RHeOzo64tWrV7h37x4sLCyQlpaGRYsW4dq1a8jJyZHJBdu3bw+pVIqOHTuiYcOGcmOoynmsTFVy+WIlz5miLC0tZe4FSubXiYmJePv2LXr37i3zmfz8fHTs2LHabQ4bNgzr169HixYt4OHhgb59+2LAgAFQV6/ZMFFsbCxevXoFQ0NDmfI3b94I9zZ5eXkIDAzEyZMn8fDhQxQUFODNmzfCjOaasrGxkXkuc23dbzHGyuKBZsb+YUoOdpZ8rljxn5MnTxaevVVSs2bN5O4vICAAo0ePxqlTp3DmzBksWbIEhw4dwuDBgxWOpzim4nioxFfnSiIiIXY1NbUy9Uo+VqN4Xzt27JAZsAYgM8BdVUVFRejUqZPMYHyx8hZnqcqCiKWfa1byGKvTZlUoulBjUVERBgwYgFWrVpXZVvxLC6DiPlWEl5cX/P39sWnTJhw4cAAfffQR7OzsALxPPt3c3ODm5oZ9+/ahcePGuHv3Ltzd3cv9etuHuFbs7e2RkZGBM2fO4MKFCxg+fDh69epV6TPwGGOMMcYUJZFI0KpVqzLlRUVFCAwMxJAhQ8ps09bWxp07d9C3b19MmTIFS5cuRcOGDREZGYkJEyZU+vg5kUhUYb5UMraS8QCK5dv16tVDaGgorl69ivPnz2PTpk1YsGABrl+/LqyfUlGMADBgwACYm5tjx44dMDU1RVFREdq3by/kgpXlupWdR0VUlMsXq8kAf0X5dfGfp06dQtOmTWXqKbIQeGnm5uZITk5GaGgoLly4gKlTp+K7775DREREjRYyLCoqgomJibD+TUnF6/vMmTMH586dw/fff49WrVpBLBZj6NChlT7GorJ8v1jpvqit+y3GWFk80MxYHWJvb4+EhAS5CW1FrKysYGVlhZkzZ2LUqFEICgqq8kBzRdq1a4eCggJcv34dTk5OAIAnT54gJSVFmF3duHFjZGVlySRzJRevMzIyQtOmTZGeng4vLy+57RT/NruwsLBMeekye3t7BAcHCwtXVIWtrS12794td3VpfX19mJqaIjIyEt26dRPKr169is6dO1e7zapo3bo1xGIxLl68iIkTJ1Za397eHkePHoWlpWWNZjJoaGiUOa/yDBo0CJMnT8bZs2dx4MABjB07Vtj2+++/IycnBytXroS5uTkACItQludDXCvA+z4bMWIERowYgaFDh8LDwwNPnz4td7YMY4wxxtiHZG9vj+Tk5HJz9piYGBQUFGDNmjVQU3u/7NLhw4dl6sjLc4H3+VLJ592mpqbi9evXFcZT1RyqNJFIBGdnZzg7O2Px4sWwsLDA8ePHMWvWLADvFx1/8+aNMGB87do16OrqwszMDE+ePEFSUhK2bdsGFxcXAEBkZKTM/m1tbfHjjz+Wm6dVdh6roiq5vCKqmieX1K5dO2hpaeHu3bvCWiYfilgsxsCBAzFw4EBMmzYN1tbWiI+Ph729fbnXUGXs7e2RlZUFdXX1ctc6uXLlCnx8fIR7ylevXpVZmE9e+5Xl+xXFVBv3W4yxsngxQMbqkHnz5iEqKgrTpk2DVCpFamoqQkJCMH36dLn137x5A19fX4SHh+POnTv45ZdfEB0dLfcRG9XRunVreHp6YtKkSYiMjMTNmzcxZswYNG3aFJ6engDerzj8+PFjrF69GmlpadiyZQvOnDkjs5+AgACsWLECGzZsQEpKCuLj4xEUFIS1a9cCAJo0aQKxWCwsbpebmwvg/VfUbt26heTkZOTk5ODPP/+El5cXGjVqBE9PT1y5cgUZGRmIiIiAv78/7t+/L/c4fH198eLFC4wcORIxMTFITU3F3r17kZycDOD9b+xXrVqF4OBgJCcnY/78+ZBKpfD39weAarVZFdra2pg3bx7mzp2LPXv2IC0tDdeuXcPOnTvl1p82bRqePn2KUaNG4caNG0hPT8f58+cxfvx4hZJMS0tLXLx4EVlZWXj27Fm59SQSCTw9PbFo0SIkJSVh9OjRwrZmzZpBU1MTmzZtQnp6OkJCQrB06dIK2/0Q18q6detw6NAh/P7770hJScFPP/0EY2NjYfYFY4wxxlhtW7x4Mfbs2YOAgAAkJCQgKSkJwcHBWLhwIQCgZcuWKCgoEPKkvXv34t///rfMPiwtLfHq1StcvHgROTk5wmByjx49sHnzZvz666+IiYnBlClTqjR7tbIcqrTr169j+fLliImJwd27d3Hs2DE8fvxY5j4iPz8fEyZMQGJiovDNSV9fX6ipqaFBgwYwNDTE9u3b8ccff+DSpUvCAHWxUaNGwdjYGIMGDcIvv/yC9PR0HD16FFFRUVU6j1VVWS6viKrmySXp6elh9uzZmDlzJnbv3o20tDTExcVhy5Yt5S7GCABPnz6FVCpFYmIiACA5ORlSqRRZWVkAgF27dmHnzp347bffhOtILBbDwsJCiPXy5ct48OABcnJyqnyMvXr1gqOjIwYNGoRz587h9u3buHr1KhYuXChMHGnVqhWOHTsGqVSKmzdvYvTo0WW+ISmv/ark+/LU1v0WY0wO1TwamjFWXZUtBlhykYdnz54RAAoLCxPKbty4Qb179yZdXV2SSCRka2tbZnGLYu/evaORI0eSubk5aWpqkqmpKfn6+goLB1ZlMcDSi+35+/uTq6ur8P7p06c0duxYMjAwILFYTO7u7pSSkiLzma1bt5K5uTlJJBIaN24cLVu2TGbBByKi/fv3U4cOHUhTU5MaNGhA3bp1o2PHjgnbd+zYQebm5qSmpia0n52dLZyLkucpMzOTxo0bR40aNSItLS1q0aIFTZo0iXJzc+WeJyKimzdvkpubG+no6JCenh65uLhQWloaEREVFhZSYGAgNW3alDQ0NMjOzo7OnDkj8/nK2qzOYoDFbX/77bdkYWFBGhoa1KxZM2FRFHnXTEpKCg0ePJjq169PYrGYrK2tacaMGcLCGa6uruTv7y/TZukFQEJCQqhVq1akrq5epp9KO3XqFAGgbt26ldl24MABsrS0JC0tLXJ0dKSQkBCZeEsvBkhU82tl+/bt1KFDB5JIJKSvr089e/akX3/9tcJjYIwxxhhTlLw8uaSzZ8+Sk5MTicVi0tfXp86dO9P27duF7WvXriUTExMhf96zZ0+ZvGjKlClkaGhIAGjJkiVERPTgwQNyc3MjiURCrVu3ptOnT8tdDLD0wnFElefbJSUmJpK7uzs1btyYtLS0yMrKSmaht+LjX7x4MRkaGpKuri5NnDhRZgG50NBQatu2LWlpaZGtrS2Fh4eXWUzv9u3b9Nlnn5G+vj7p6OiQg4MDXb9+vcrnsTR5+XVluXxF56w0eXlyVRa4Kyoqog0bNlCbNm1IQ0ODGjduTO7u7hQREVFuW0FBQQSgzKv4Wjh+/Dh16dKF9PX1SSKR0CeffEIXLlwQPh8VFUW2trakpaVV5pyUVPpegOj9ouTTp08nU1NT0tDQIHNzc/Ly8qK7d+8K56x79+4kFovJ3NycNm/eXOY+o7z2K8v3y/vZqs49HmNMcSKich6SyhhjjDHGGGOMMfaB+fj44Pnz5zhx4oSqQ2GMMfYB8aMzGGOMMcYYY4wxxhhjjNUIDzQzxhhjjDHGGGOMMcYYqxF+dAZjjDHGGGOMMcYYY4yxGuEZzYwxxhhjjDHGGGOMMcZqhAeaGWOMMcYYY4wxxhhjjNUIDzQzxhhjjDHGGGOMMcYYqxEeaGaMMcYYY4wxxhhjjDFWIzzQzBhjjDHGGGOMMcYYY6xGeKCZMcYYY4wxxhhjjDHGWI3wQDNjjDHGGGOMMcYYY4yxGuGBZsYYY4wxxhhjjDHGGGM1wgPNjDHGGGOMMcYYY4wxxmrk/wAMo9rRgSTuKgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4HLf2f31NI1GGGj46GgAAtB/tqmje57sjB23bZjQh0AaFXC5dftJJjjy3bdvasWOH9uzZo+7du+u8885zJAcAAG1RqnGGLLNcldqkZGN8o0bbmqap4V3v1PtfPCmvK13jhv+01uN6dZyibZ+t1F4tkzvSS+P6/E6SNHjwYI0ZM0azZ8/WaaedpmCw9jmjDcNQWlq6vv12d7WRzJJUWlqqOXPmaMyYMRo8eHC1+266frjmP/tPJQQsXT71qlrPnZ7u0Q03dNO//rVL+fl+TZiQWetxdZVm/ki2LEW0TanmZJlG44prAADQPrSrojkzM1Mul6vG6OXt27fXGOUMAA1VUlKiLVu2KDU1VTNmzNBPfvITpaSkOB0LAIA2wzBcynCd32Tn696lt7p3Ofx6LaN73SPpnhr7582bp/79+2vmzJlasGBBjcX8pFih/fXXX6m4uLja7x6WZWnmzJkqLCzUsmXLajyub5cf6bf/70eHzTZoULIGDUo+7HF1YRpe5mUGAAD1VvMdUBvm9Xo1ZMgQvfzyy9X2v/zyyxo5cqRDqQC0JSUlJSosLNSJJ56oBQsW6Oqrr6ZkBgCgjevevbseffRRPfXUU7roootUWlpa63FJSUnKy8uLT6FRWlqqiy66SE899ZQeffRRde/evSVjAwAANKl2NaJZkmbNmqULLrhAQ4cO1YgRIzRv3jxt3LhRM2bMcDoagCbmi0Z175tvSpJmjRqlkMvVrM9nWZa2bNmi0047Tffdd1+1BYEAAEDbdu6558q2bU2fPl1vvfWW7r77bk2aNKnW9wORSERLlizRnDlzVFhYqKefflrnnnuuA6kBAACaTrtrQc455xzt2rVLt9xyiwoLC9W3b1+99NJLys/PdzoagKZm2+pSUhLfbr6nsVVaWqqtW7cqNzdX11xzDSUzAADt0Hnnnadhw4bp0ksv1ZQpU5SXl6exY8dq4MCBSklJUVFRkVavXq1XXnlFmzdv1sknn6xly5YxkhkAALQJ7bIJ+elPf6qf/rT2RT4AoC5s21ZZWZl2796t8vJyBQIBHXPMMbr88svVuXNnp+MBAACHdO/eXa+++qpWrVql+fPn6+2339Zzzz2nUCgkn8+nfv36afLkyZo2bVqNhf8AAACOZO2yaAaA+rJtW9FoVBUVFdqzZ4/KysqUkJCgzp07a9y4cRo9erT69u1b6+I/AACg/Rk8eHC1ItmyLN4nAACANo2iGQAUK5LD4bDC4bBCoVB8u7KyUoZhSIqtFu/z+dShQweddtppGj16tAYMGMA0GQAA4LAomQEAQFtHOwKgXYhGoyqvrKxWIodCIdm2LcMwZFmWPB6PfD6fvF6vcnNzlZeXp86dOysnJ0dZWVnKzs5WVlaWCgoK5PF4nH5JAAAAAAAArQZFM4AWZdu2LMs65HVdjjncYyUpeMDzfv3117ISEuT1euX3+9WlSxd17txZeXl51Urkfdd+v9+ZLxAAAAAAAMARiKIZaMPqW9o29D5J8ekl9l0fmOHALIZhyDTNel27XC653W55vV55PB55vd4aF5/PV+3i9XqVYNsqvuceuVwu3Xf//cro3FnZ2dnKyMiQy+Vq2W8GAAAAAABAG0bRDLSAfQvJRaNRRSKR+HVDy1/DMA5a7O57vgML4O8Wt3Updz0eT62l7ncL3X2lrtvtjj+mLpf6HO92u+VyuWp9rYd13XWSpBMb/u0DAAAAAADAYVA0A3V0sLL4wO0DC+QDF3yxLEsulys+MnfftWEY8dsHjtbdV94euH1gsVuf0ra+he6+7QaVugAAAAAAAGiXKJrRrjS0LN43Qri2stjr9SoxMVEpKSlKTU1VWlqaUlJSlJiYWOslGAwqKSlJwWAwXi6zCjkAAAAAAACOZBTNaBX2TQtxqEtdjvnunMEHjso9VFns8/mUmJio5OTkOpXFB14CgQBFcWtVXi6NHh3bfuMNKSHB2TwAAAAAAABtFEUzajhwXuADy9toNHrIsvdQ99U2p/CBi8RJkmmah7zsWxRu3zQSfr8/fp3w/9u787ga0/4P4J/TdjqtiDal7MsQqmHSpLGVZUxmBqEJj+XhGY3tZzBjkJnBbHbGYDzZyRC/nrHGEEaopjDVxFRkKSkkoVTX7w+/7qdTp73OoT7v1+u8dK77Ouf6nvu643t/3ee+FArpTwMDgxK3m9DT04OBgQGLxfVNQQEQEfHfn4mIiIiIiIiIqFaw0PyaKywAv3jxAnl5eXjx4gVevHhRbiG4sPBbvOgLvLyfcPECb2nF38J7+hYWdIsWffX19WFgYCAVhIvfd1jVfYgr8rOODg9bIiIiIiIiIiKiVwkrdq+gosXj4gXkwudFC8RaWlpKC7oZGBgoFXvlcrlU8C3armqxucoWffX09KCtra3hPUZEREREVFK+yMKDgt0QyEEjrZHQkTVWy7h38j7HM3EVDbVGwEzbR2Wfp8+eYtPOYDx+nIuPhvdEcxt7tcRGREREVFtYaFaT4sXj4kXk4sVjbW1t6OrqSlcMGxoawszMDObm5jA3N0ejRo3QsGFDNGjQoMTDyMhIAozFGwAAKr5JREFU6d7ERERERET1UVrBWmQXnAcA5Igk2Oosr/Ux7+UtR3rBZgDA0/xIGMi6QKH1Rol+q38OwvGj2QCAP/88isB/T6712IiIiIhqEwvNtUgulyMtLQ2ZmZkAIBWPCwvIJiYmaNy4MZo0aQJzc3M0bNiwRPG48LmBgQGLx0RERERElZAn7v33Z6SpZcwccUP6WSAfubgJBUoWmtPSnks/Z9yXSbevIyIiInpdsdBci5YuXYq0tJcJrZaWFkxNTZWKyAqFgsVjIiIiIqJa0lDLG/fyv4dAHhppjVLLmObaU/A47zjy8RAKWUcYw0NlP+8PuyIuNhw5z2UY5WPOIjMRERG99lhorkVvvvmmpkMgosbquRcjERERvXqMtFxgINsFgXxoywzVMqa+Vlt00LmCPKRCT6tZqf26d3FC0M4OyMnNQQOTBmqJjYiIiKg2sdBMRHWXoSFw/76moyAiIiIN0pLpq39MLT3oofQicyGFvgIKfYUaIiIiIiKqffx+FhERERERERERERFVCwvNRERERERERERERFQtLDQTUd317BnwzjsvH8+eaToaIiIiIiIiIqI6i/doJqK6q6AACA39789ERERERERERFQreEUzEREREREREREREVULC81EREREREREREREVC0sNBMRERERERERERFRtbDQTERERERERERERETVwkIzEREREREREREREVWLjqYDICKqVQYGmo6AiIiIiIiIiKjOY6GZiOouQ0MgO1vTURARERERERER1Xm8dQYRERERERERERERVQsLzUREREREdcyPP/6I5s2bQ19fH05OTjh79myZ/UNDQ+Hk5AR9fX20aNECP/30k5oiJSIiIqK6goVmIqq7nj8HBg16+Xj+XNPREBERqUVgYCCmT5+OefPmISoqCm5ubhgwYACSk5NV9k9KSsLAgQPh5uaGqKgofP7555g6dSr279+v5siJiIiI6HUmE0IIdQ/6+PFjmJqaIjMzEyYmJuoenojqi+xswMjo5c9Pnry8ZzMREdUq5nma1717dzg6OmL9+vVSW/v27TFkyBAsXbq0RP85c+YgODgYcXFxUtvkyZNx+fJlhIWFVWhMzjsRERFR3VXRXI9XNBMRERER1RG5ubmIjIyEh4eHUruHhwfOnz+v8jVhYWEl+nt6eiIiIgIvXryotViJiIiIqG7R0XQARERERERUM9LT05Gfnw8LCwuldgsLC6Smpqp8TWpqqsr+eXl5SE9Ph5WVVYnX5OTkICcnR3r++PHjGoieiIiIiF5nvKKZiIiIiKiOkclkSs+FECXayuuvqr3Q0qVLYWpqKj1sbW2rGTERERERve5YaCYiIiIiqiMaN24MbW3tElcvp6WllbhquZClpaXK/jo6OjAzM1P5ms8++wyZmZnS49atWzXzAYiIiIjotcVCMxERERFRHaGnpwcnJyeEhIQotYeEhKBHjx4qX+Pi4lKi//Hjx+Hs7AxdXV2Vr5HL5TAxMVF6EBEREVH9ppF7NBd+FY/3ciOiWpWd/d+fHz8G8vM1FwsRUT1RmN8V5nukfjNnzoSvry+cnZ3h4uKCjRs3Ijk5GZMnTwbw8mrkO3fuYNu2bQCAyZMnY+3atZg5cyYmTpyIsLAwbN68Gbt3767wmMzviYiIiOquiub4Gik0Z2RkAADv5UZE6mNtrekIiIjqlYyMDJiammo6jHrJ29sbGRkZ+PLLL5GSkoKOHTvi8OHDsLOzAwCkpKQgOTlZ6t+8eXMcPnwYM2bMwLp162BtbY3Vq1fjww8/rPCYWVlZAJjfExEREdVlWVlZZeb4MqGBy00ePXqEhg0bIjk5uc6egDx+/Bi2tra4desWv0r4muNc1i2cz7qDc1l3cC7rlszMTDRr1gwPHz5EgwYNNB0OqUlBQQHu3r0LY2PjMhcdrEn8u+PVwHl4NXAeNI9z8GrgPLwaOA+vhpqcByEEsrKyYG1tDS2t0u/ErJErmgsDMjU1rfMHHO9ZV3dwLusWzmfdwbmsOziXdUtZCSjVPVpaWrCxsdHI2Py749XAeXg1cB40j3PwauA8vBo4D6+GmpqHilwszDMAIiIiIiIiIiIiIqoWFpqJiIiIiIiIiIiIqFo0UmiWy+VYuHAh5HK5JoZXi/rwGesLzmXdwvmsOziXdQfnsm7hfJK68Fh7NXAeXg2cB83jHLwaOA+vBs7Dq0ET86CRxQCJiIiIiIiIiIiIqO7grTOIiIiIiIiIiIiIqFpYaCYiIiIiIiIiIiKiamGhmYiIiIiIiIiIiIiqhYVmIiIiIiIiIiIiIqoWtRSaHz58CF9fX5iamsLU1BS+vr549OhRma8JCgqCp6cnGjduDJlMhujoaHWEWik//vgjmjdvDn19fTg5OeHs2bNl9g8NDYWTkxP09fXRokUL/PTTT2qKlMpTmbkMCgpCv3790KRJE5iYmMDFxQXHjh1TY7RUnsr+bhb6/fffoaOjgy5dutRugFRhlZ3LnJwczJs3D3Z2dpDL5WjZsiX+/e9/qylaKktl53Lnzp3o3LkzDAwMYGVlhX/84x/IyMhQU7RUmjNnzmDw4MGwtraGTCbDwYMHy30N8x+qaVU5DqnmLV26FG+++SaMjY1hbm6OIUOGID4+XtNh1Svr16+Hg4MDTExMpPOSI0eOaDqsem/p0qWQyWSYPn26pkOpV/z9/SGTyZQelpaWmg6r3rlz5w4++ugjmJmZwcDAAF26dEFkZKSmw6pX7O3tS/wuyGQyTJkyRS3jq6XQPGrUKERHR+Po0aM4evQooqOj4evrW+ZrsrOz4erqim+++UYdIVZaYGAgpk+fjnnz5iEqKgpubm4YMGAAkpOTVfZPSkrCwIED4ebmhqioKHz++eeYOnUq9u/fr+bIqbjKzuWZM2fQr18/HD58GJGRkejVqxcGDx6MqKgoNUdOqlR2PgtlZmZi9OjR6NOnj5oipfJUZS6HDx+OkydPYvPmzYiPj8fu3bvRrl07NUZNqlR2Ls+dO4fRo0dj/PjxiImJwS+//ILw8HBMmDBBzZFTcdnZ2ejcuTPWrl1bof7Mf6g2VPY4pNoRGhqKKVOm4MKFCwgJCUFeXh48PDyQnZ2t6dDqDRsbG3zzzTeIiIhAREQEevfuDS8vL8TExGg6tHorPDwcGzduhIODg6ZDqZfeeOMNpKSkSI+rV69qOqR65eHDh3B1dYWuri6OHDmC2NhYLFu2DA0aNNB0aPVKeHi40u9BSEgIAGDYsGHqCUDUstjYWAFAXLhwQWoLCwsTAMRff/1V7uuTkpIEABEVFVWLUVZet27dxOTJk5Xa2rVrJ+bOnauy/+zZs0W7du2U2iZNmiTeeuutWouRKqayc6lKhw4dxKJFi2o6NKqCqs6nt7e3+OKLL8TChQtF586dazFCqqjKzuWRI0eEqampyMjIUEd4VAmVncvvv/9etGjRQqlt9erVwsbGptZipMoDIA4cOFBmH+Y/VNsqchySeqSlpQkAIjQ0VNOh1GsNGzYUP//8s6bDqJeysrJE69atRUhIiHB3dxfTpk3TdEj1Cs/jNG/OnDni7bff1nQYVMy0adNEy5YtRUFBgVrGq/UrmsPCwmBqaoru3btLbW+99RZMTU1x/vz52h6+VuTm5iIyMhIeHh5K7R4eHqV+prCwsBL9PT09ERERgRcvXtRarFS2qsxlcQUFBcjKykKjRo1qI0SqhKrOZ0BAABISErBw4cLaDpEqqCpzGRwcDGdnZ3z33Xdo2rQp2rRpg1mzZuHZs2fqCJlKUZW57NGjB27fvo3Dhw9DCIF79+5h3759GDRokDpCphrE/Ieo/sjMzAQA5sQakp+fjz179iA7OxsuLi6aDqdemjJlCgYNGoS+fftqOpR66/r167C2tkbz5s0xYsQIJCYmajqkeqXwfGzYsGEwNzdH165dsWnTJk2HVa/l5uZix44dGDduHGQymVrG1KntAVJTU2Fubl6i3dzcHKmpqbU9fK1IT09Hfn4+LCwslNotLCxK/Uypqakq++fl5SE9PR1WVla1Fi+VripzWdyyZcuQnZ2N4cOH10aIVAlVmc/r169j7ty5OHv2LHR0av2vRKqgqsxlYmIizp07B319fRw4cADp6en4+OOP8eDBA96nWYOqMpc9evTAzp074e3tjefPnyMvLw/vvfce1qxZo46QqQYx/yGqH4QQmDlzJt5++2107NhR0+HUK1evXoWLiwueP38OIyMjHDhwAB06dNB0WPXOnj178McffyA8PFzTodRb3bt3x7Zt29CmTRvcu3cPX3/9NXr06IGYmBiYmZlpOrx6ITExEevXr8fMmTPx+eef49KlS5g6dSrkcjlGjx6t6fDqpYMHD+LRo0cYO3as2sas8hXNqm60XvwREREBACqr5kIItVXTa0vx+Mv7TKr6q2on9avsXBbavXs3/P39ERgYqPI/VEgzKjqf+fn5GDVqFBYtWoQ2bdqoKzyqhMr8bhYUFEAmk2Hnzp3o1q0bBg4ciOXLl2PLli28qvkVUJm5jI2NxdSpU7FgwQJERkbi6NGjSEpKwuTJk9URKtUw5j9EdZ+fnx+uXLmC3bt3azqUeqdt27aIjo7GhQsX8K9//QtjxoxBbGyspsOqV27duoVp06Zhx44d0NfX13Q49daAAQPw4YcfolOnTujbty8OHToEANi6dauGI6s/CgoK4OjoiCVLlqBr166YNGkSJk6ciPXr12s6tHpr8+bNGDBgAKytrdU2ZpUv3/Pz88OIESPK7GNvb48rV67g3r17Jbbdv3+/xBUur4vGjRtDW1u7xJVYaWlppX4mS0tLlf11dHT4v2saVJW5LBQYGIjx48fjl19+4dejXhGVnc+srCxEREQgKioKfn5+AF7+4yiEgI6ODo4fP47evXurJXZSVpXfTSsrKzRt2hSmpqZSW/v27SGEwO3bt9G6detajZlUq8pcLl26FK6urvj0008BAA4ODjA0NISbmxu+/vprXgX7GmH+Q1T3ffLJJwgODsaZM2dgY2Oj6XDqHT09PbRq1QoA4OzsjPDwcKxatQobNmzQcGT1R2RkJNLS0uDk5CS15efn48yZM1i7di1ycnKgra2twQjrJ0NDQ3Tq1AnXr1/XdCj1hpWVVYlvVLRv356LQGvIzZs3ceLECQQFBal13Cpf0dy4cWO0a9euzIe+vj5cXFyQmZmJS5cuSa+9ePEiMjMz0aNHjxr5EOqmp6cHJycnaeXGQiEhIaV+JhcXlxL9jx8/DmdnZ+jq6tZarFS2qswl8PJK5rFjx2LXrl28Z+grpLLzaWJigqtXryI6Olp6TJ48WboypOi95Um9qvK76erqirt37+LJkydS27Vr16ClpcUTXw2qylw+ffoUWlrKKUrhCVrh1bD0emD+Q1R3CSHg5+eHoKAg/Pbbb2jevLmmQyK8nJecnBxNh1Gv9OnTp8Q5hbOzM3x8fBAdHc0is4bk5OQgLi6OFyiokaurK+Lj45Xarl27Bjs7Ow1FVL8FBATA3Nxc/TUrdaw42L9/f+Hg4CDCwsJEWFiY6NSpk3j33XeV+rRt21YEBQVJzzMyMkRUVJQ4dOiQACD27NkjoqKiREpKijpCLteePXuErq6u2Lx5s4iNjRXTp08XhoaG4saNG0IIIebOnSt8fX2l/omJicLAwEDMmDFDxMbGis2bNwtdXV2xb98+TX0E+n+Vnctdu3YJHR0dsW7dOpGSkiI9Hj16pKmPQEVUdj6L42rFr47KzmVWVpawsbERQ4cOFTExMSI0NFS0bt1aTJgwQVMfgf5fZecyICBA6OjoiB9//FEkJCSIc+fOCWdnZ9GtWzdNfQT6f1lZWSIqKkpERUUJAGL58uUiKipK3Lx5UwjB/IfUo7zjkNTjX//6lzA1NRWnT59WyomfPn2q6dDqjc8++0ycOXNGJCUliStXrojPP/9caGlpiePHj2s6tHrP3d1dTJs2TdNh1Cv/8z//I06fPi0SExPFhQsXxLvvviuMjY2lfJNq36VLl4SOjo5YvHixuH79uti5c6cwMDAQO3bs0HRo9U5+fr5o1qyZmDNnjtrHVkuhOSMjQ/j4+AhjY2NhbGwsfHx8xMOHD5UDAURAQID0PCAgQAAo8Vi4cKE6Qq6QdevWCTs7O6GnpyccHR1FaGiotG3MmDHC3d1dqf/p06dF165dhZ6enrC3txfr169Xc8RUmsrMpbu7u8pjc8yYMeoPnFSq7O9mUSw0v1oqO5dxcXGib9++QqFQCBsbGzFz5kye8L4iKjuXq1evFh06dBAKhUJYWVkJHx8fcfv2bTVHTcWdOnWqzH8Dmf+QOpR3HJJ6qJqD4ud0VLvGjRsn/dvapEkT0adPHxaZXxEsNKuft7e3sLKyErq6usLa2lp88MEHIiYmRtNh1Tv/+c9/RMeOHYVcLhft2rUTGzdu1HRI9dKxY8cEABEfH6/2sWVC8DuoRERERERERERERFR1Vb5HMxERERERERERERERwEIzEREREREREREREVUTC81EREREREREREREVC0sNBMRERERERERERFRtbDQTERERERERERERETVwkIzEREREREREREREVULC81EREREREREREREVC0sNBPVETdu3IBMJkN0dLTaxtyyZQsaNGggPff390eXLl2k52PHjsWQIUPUFk9d5+/vDwsLC8hkMhw8eFBlW2X2uSaOmZp0+vRpyGQyPHr0SNOhEBEREVEdoSrnru3xip5DvW5SU1PRr18/GBoaKp0bElH9xEIz0WtAJpOV+Rg7dqxG4vL29sa1a9c0MnZllFZQfZ0K4XFxcVi0aBE2bNiAlJQUDBgwQGXbqlWrsGXLlgq9p62tLVJSUtCxY8cajVVdSTkRERHR62rs2LEq8/q///67Rt6/+AUhVDGq8uuapM48OSgoCJ6enmjcuHGVLi6xt7fHypUry+23YsUKpKSkIDo6ukbPDSs6PhG9WnQ0HQARlS8lJUX6OTAwEAsWLEB8fLzUplAo8PDhQ7XHpVAooFAo1D5ufZSQkAAA8PLygkwmK7VNLpdX+D21tbVhaWlZw5ESERERUUX0798fAQEBSm1NmjTRUDSle/HiBXR1dTUdhlqoyq+r4lXYZ9nZ2XB1dcWwYcMwceLEWhsnISEBTk5OaN26da2NUR25ubnQ09PTdBhE9QavaCZ6DVhaWkoPU1NTyGSyEm2FEhMT0atXLxgYGKBz584ICwtTeq/z58+jZ8+eUCgUsLW1xdSpU5GdnV3q2JcvX0avXr1gbGwMExMTODk5ISIiAkDFr5T44YcfYGVlBTMzM0yZMgUvXryQtj18+BCjR49Gw4YNYWBggAEDBuD69evSdlVfJVu5ciXs7e2V2gICAtC+fXvo6+ujXbt2+PHHH6VtzZs3BwB07doVMpkM77zzDvz9/bF161b87//+r3QFyenTpwEAd+7cgbe3Nxo2bAgzMzN4eXnhxo0bZX7GmJgYDBo0CCYmJjA2Noabm5uUqBYUFODLL7+EjY0N5HI5unTpgqNHjyq9vqwx/f39MXjwYACAlpYWZDKZyjag5FXaBQUF+Pbbb9GqVSvI5XI0a9YMixcvBqD6Su/Y2FgMHDgQRkZGsLCwgK+vL9LT06Xt77zzDqZOnYrZs2ejUaNGsLS0hL+/v7S9cF7ef/99yGSyEvNUyMXFBXPnzlVqu3//PnR1dXHq1CkAwI4dO+Ds7AxjY2NYWlpi1KhRSEtLK3UOauJYyc3NhZ+fH6ysrKCvrw97e3ssXbq01DGJiIiIqkoulyvl9JaWltDW1gYA/Oc//4GTkxP09fXRokULLFq0CHl5edJrly9fjk6dOsHQ0BC2trb4+OOP8eTJEwAvby/2j3/8A5mZmVKeW5ivqbqitkGDBtI34grzw7179+Kdd96Bvr4+duzYAaDsHEqVffv2oVOnTlAoFDAzM0Pfvn2l847CnHXRokUwNzeHiYkJJk2ahNzcXOn1R48exdtvv40GDRrAzMwM7777rpRfF7p9+zZGjBiBRo0awdDQEM7Ozrh48aK0vbz9WFRp+XV5uXxZ+6yo8vLk7du3w97eHqamphgxYgSysrKkbUIIfPfdd2jRogUUCgU6d+6Mffv2lbn/fX19sWDBAvTt27fUPv7+/mjWrBnkcjmsra0xdepUAC9z/ps3b2LGjBnSMaSKvb099u/fj23btil90zYzMxP//Oc/pbnt3bs3Ll++LL0uISEBXl5esLCwgJGREd58802cOHFC2l7a+BXJ9wuPraVLl8La2hpt2rQBULVzPCKqPBaaieqYefPmYdasWYiOjkabNm0wcuRIKZm6evUqPD098cEHH+DKlSsIDAzEuXPn4OfnV+r7+fj4wMbGBuHh4YiMjMTcuXMr9b/zp06dQkJCAk6dOoWtW7diy5YtSrd2GDt2LCIiIhAcHIywsDAIITBw4EClYnR5Nm3ahHnz5mHx4sWIi4vDkiVLMH/+fGzduhUAcOnSJQDAiRMnkJKSgqCgIMyaNQvDhw9H//79kZKSgpSUFPTo0QNPnz5Fr169YGRkhDNnzuDcuXMwMjJC//79lRLfou7cuYOePXtCX18fv/32GyIjIzFu3Dhpv69atQrLli3DDz/8gCtXrsDT0xPvvfeeVFAvb8xZs2ZJV7sUxqqqTZXPPvsM3377LebPn4/Y2Fjs2rULFhYWKvumpKTA3d0dXbp0QUREBI4ePYp79+5h+PDhSv22bt0KQ0NDXLx4Ed999x2+/PJLhISEAADCw8MBvDwRSUlJkZ4X5+Pjg927d0MIIbUFBgbCwsIC7u7uAF4Wfb/66itcvnwZBw8eRFJSUrVvE1PesbJ69WoEBwdj7969iI+Px44dO0otlhMRERHVhmPHjuGjjz7C1KlTERsbiw0bNmDLli3SxQLAy0Lo6tWr8eeff2Lr1q347bffMHv2bABAjx49sHLlSpiYmCjljpUxZ84cTJ06FXFxcfD09Cw3hyouJSUFI0eOxLhx4xAXF4fTp0/jgw8+UMr9Tp48ibi4OJw6dQq7d+/GgQMHsGjRIml7dnY2Zs6cifDwcJw8eRJaWlp4//33UVBQAAB48uQJ3N3dcffuXQQHB+Py5cuYPXu2tL0i+7Go0vLr8nL50vZZcWXlyQkJCTh48CB+/fVX/PrrrwgNDcU333wjbf/iiy8QEBCA9evXIyYmBjNmzMBHH32E0NDQUmawfPv27cOKFSuwYcMGXL9+HQcPHkSnTp0AvLztho2NDb788ssyzzXCw8PRv39/DB8+HCkpKVi1ahWEEBg0aBBSU1Nx+PBhREZGwtHREX369MGDBw8AvJy7gQMH4sSJE4iKioKnpycGDx6M5OTkSo1fmsJjKyQkBL/++muVzvGIqIoEEb1WAgIChKmpaYn2pKQkAUD8/PPPUltMTIwAIOLi4oQQQvj6+op//vOfSq87e/as0NLSEs+ePVM5nrGxsdiyZUuFYlm4cKHo3Lmz9HzMmDHCzs5O5OXlSW3Dhg0T3t7eQgghrl27JgCI33//Xdqenp4uFAqF2Lt3r8r3FEKIFStWCDs7O+m5ra2t2LVrl1Kfr776Sri4uAgh/rtvoqKilPqMGTNGeHl5KbVt3rxZtG3bVhQUFEhtOTk5QqFQiGPHjqncD5999plo3ry5yM3NVbnd2tpaLF68WKntzTffFB9//HGFxzxw4IAo/le2qrain+nx48dCLpeLTZs2qYyr+H6ZP3++8PDwUOpz69YtAUDEx8cLIYRwd3cXb7/9donPMmfOHOk5AHHgwAGVYxZKS0sTOjo64syZM1Kbi4uL+PTTT0t9zaVLlwQAkZWVJYQQ4tSpUwKAePjwoRCiZo6VTz75RPTu3VtpLoiIiIhq2pgxY4S2trYwNDSUHkOHDhVCCOHm5iaWLFmi1H/79u3Cysqq1Pfbu3evMDMzk56Xds6gKk8zNTUVAQEBQoj/5ocrV65U6lNeDlVcZGSkACBu3LihcvuYMWNEo0aNRHZ2ttS2fv16YWRkJPLz81W+Ji0tTQAQV69eFUIIsWHDBmFsbCwyMjJU9q/KflSVX5eXy5e2z1RRtf8XLlwoDAwMxOPHj6W2Tz/9VHTv3l0IIcSTJ0+Evr6+OH/+vNLrxo8fL0aOHFnumKWdCy1btky0adOm1HMYOzs7sWLFinLf38vLS4wZM0Z6fvLkSWFiYiKeP3+u1K9ly5Ziw4YNpb5Phw4dxJo1a8ocvyL5/pgxY4SFhYXIycmR2qpyjkdEVcN7NBPVMQ4ODtLPVlZWAIC0tDS0a9cOkZGR+Pvvv7Fz506pjxACBQUFSEpKQvv27Uu838yZMzFhwgRs374dffv2xbBhw9CyZcsKx/PGG29IXwEsjOnq1asAXi62oaOjg+7du0vbzczM0LZtW8TFxVXo/e/fv49bt25h/PjxSvcey8vLU7qlSEUV7iNjY2Ol9ufPn5f4ql6h6OhouLm5qbzS+/Hjx7h79y5cXV2V2l1dXaWvj1VlzIqIi4tDTk4O+vTpU6H+kZGROHXqFIyMjEpsS0hIkL52VvQYA17OaVm3tFClSZMm6NevH3bu3Ak3NzckJSUhLCwM69evl/pERUXB398f0dHRePDggXR1SnJyMjp06FCp8YCKHStjx45Fv3790LZtW/Tv3x/vvvsuPDw8Kj0WERERUXl69eqllPsYGhoCeJmThYeHK115m5+fj+fPn+Pp06cwMDDAqVOnsGTJEsTGxuLx48fIy8vD8+fPkZ2dLb1PdTg7O0s/VyXf7ty5M/r06YNOnTrB09MTHh4eGDp0KBo2bKjUx8DAQHru4uKCJ0+e4NatW7Czs0NCQgLmz5+PCxcuID09XSkX7NixI6Kjo9G1a1c0atRIZQwV2Y/lqUguX6joPqsse3t7pXOBovl1bGwsnj9/jn79+im9Jjc3F127dq3ymMOGDcPKlSvRokUL9O/fHwMHDsTgwYOho1O9MlFkZCSePHkCMzMzpfZnz55J5zbZ2dlYtGgRfv31V9y9exd5eXl49uyZdEVzdXXq1Enpvsy1db5FRCWx0ExUxxQtdha9r1jhn5MmTZLuvVVUs2bNVL6fv78/Ro0ahUOHDuHIkSNYuHAh9uzZg/fff7/S8RTGVBiPKPLVuaKEEFLsWlpaJfoVva1G4Xtt2rRJqWANQKnAXVEFBQVwcnJSKsYXKm1xloosiFj8vmZFP2NVxqyIyi7UWFBQgMGDB+Pbb78tsa3wPy2Asue0Mnx8fDBt2jSsWbMGu3btwhtvvIHOnTsDeJl8enh4wMPDAzt27ECTJk2QnJwMT0/PUr/eVhPHiqOjI5KSknDkyBGcOHECw4cPR9++fcu9Bx4RERFRZRkaGqJVq1Yl2gsKCrBo0SJ88MEHJbbp6+vj5s2bGDhwICZPnoyvvvoKjRo1wrlz5zB+/Phybz8nk8nKzJeKxlY0HqBy+ba2tjZCQkJw/vx5HD9+HGvWrMG8efNw8eJFaf2UsmIEgMGDB8PW1habNm2CtbU1CgoK0LFjRykXLC/XLW8/VkZZuXyh6hT4y8qvC/88dOgQmjZtqtSvMguBF2dra4v4+HiEhITgxIkT+Pjjj/H9998jNDS0WgsZFhQUwMrKSlr/pqjC9X0+/fRTHDt2DD/88ANatWoFhUKBoUOHlnsbi/Ly/ULF56K2zreIqCQWmonqEUdHR8TExKhMaMvSpk0btGnTBjNmzMDIkSMREBBQ4UJzWTp06IC8vDxcvHgRPXr0AABkZGTg2rVr0tXVTZo0QWpqqlIyV3TxOgsLCzRt2hSJiYnw8fFROU7h/2bn5+eXaC/e5ujoiMDAQGnhiopwcHDA1q1bVa4ubWJiAmtra5w7dw49e/aU2s+fP49u3bpVecyKaN26NRQKBU6ePIkJEyaU29/R0RH79++Hvb19ta5k0NXVLbFfVRkyZAgmTZqEo0ePYteuXfD19ZW2/fXXX0hPT8c333wDW1tbAJAWoSxNTRwrwMs58/b2hre3N4YOHYr+/fvjwYMHpV4tQ0RERFSTHB0dER8fX2rOHhERgby8PCxbtgxaWi+XXdq7d69SH1V5LvAyXyp6v9vr16/j6dOnZcZT0RyqOJlMBldXV7i6umLBggWws7PDgQMHMHPmTAAvFx1/9uyZVDC+cOECjIyMYGNjg4yMDMTFxWHDhg1wc3MDAJw7d07p/R0cHPDzzz+XmqeVtx8roiK5fGVUNE8uqkOHDpDL5UhOTpbWMqkpCoUC7733Ht577z1MmTIF7dq1w9WrV+Ho6FjqMVQeR0dHpKamQkdHp9S1Ts6ePYuxY8dK55RPnjwpsTCfqvHLy/fLiqk2zreIqCQuBkhUj8yZMwdhYWGYMmUKoqOjcf36dQQHB+OTTz5R2f/Zs2fw8/PD6dOncfPmTfz+++8IDw9XeYuNqmjdujW8vLwwceJEnDt3DpcvX8ZHH32Epk2bwsvLC8DLFYfv37+P7777DgkJCVi3bh2OHDmi9D7+/v5YunQpVq1ahWvXruHq1asICAjA8uXLAQDm5uZQKBTS4naZmZkAXn5F7cqVK4iPj0d6ejpevHgBHx8fNG7cGF5eXjh79iySkpIQGhqKadOm4fbt2yo/h5+fHx4/fowRI0YgIiIC169fx/bt2xEfHw/g5f/Yf/vttwgMDER8fDzmzp2L6OhoTJs2DQCqNGZF6OvrY86cOZg9eza2bduGhIQEXLhwAZs3b1bZf8qUKXjw4AFGjhyJS5cuITExEcePH8e4ceMqlWTa29vj5MmTSE1NxcOHD0vtZ2hoCC8vL8yfPx9xcXEYNWqUtK1Zs2bQ09PDmjVrkJiYiODgYHz11VdljlsTx8qKFSuwZ88e/PXXX7h27Rp++eUXWFpaSldfEBEREdW2BQsWYNu2bfD390dMTAzi4uIQGBiIL774AgDQsmVL5OXlSXnS9u3b8dNPPym9h729PZ48eYKTJ08iPT1dKib37t0ba9euxR9//IGIiAhMnjy5QlevlpdDFXfx4kUsWbIEERERSE5ORlBQEO7fv690HpGbm4vx48cjNjZW+uakn58ftLS00LBhQ5iZmWHjxo34+++/8dtvv0kF6kIjR46EpaUlhgwZgt9//x2JiYnYv38/wsLCKrQfK6q8XL4yKponF2VsbIxZs2ZhxowZ2Lp1KxISEhAVFYV169aVuhgjADx48ADR0dGIjY0FAMTHxyM6OhqpqakAgC1btmDz5s34888/peNIoVDAzs5OivXMmTO4c+cO0tPTK/wZ+/btCxcXFwwZMgTHjh3DjRs3cP78eXzxxRfShSOtWrVCUFAQoqOjcfnyZYwaNarENyRVjV+RfF+V2jrfIiIVNHNraCKqqvIWAyy6yMPDhw8FAHHq1Cmp7dKlS6Jfv37CyMhIGBoaCgcHhxKLWxTKyckRI0aMELa2tkJPT09YW1sLPz8/aeHAiiwGWHyxvWnTpgl3d3fp+YMHD4Svr68wNTUVCoVCeHp6imvXrim9Zv369cLW1lYYGhqK0aNHi8WLFyst+CCEEDt37hRdunQRenp6omHDhqJnz54iKChI2r5p0yZha2srtLS0pPHT0tKkfVF0P6WkpIjRo0eLxo0bC7lcLlq0aCEmTpwoMjMzVe4nIYS4fPmy8PDwEAYGBsLY2Fi4ubmJhIQEIYQQ+fn5YtGiRaJp06ZCV1dXdO7cWRw5ckTp9eWNWZXFAAvH/vrrr4WdnZ3Q1dUVzZo1kxZFUXXMXLt2Tbz//vuiQYMGQqFQiHbt2onp06dLC2e4u7uLadOmKY1ZfAGQ4OBg0apVK6Gjo1Ninoo7dOiQACB69uxZYtuuXbuEvb29kMvlwsXFRQQHByvFW3wxQCGqf6xs3LhRdOnSRRgaGgoTExPRp08f8ccff5T5GYiIiIgqS1WeXNTRo0dFjx49hEKhECYmJqJbt25i48aN0vbly5cLKysrKX/etm1bibxo8uTJwszMTAAQCxcuFEIIcefOHeHh4SEMDQ1F69atxeHDh1UuBlh84Tghys+3i4qNjRWenp6iSZMmQi6XizZt2igt9Fb4+RcsWCDMzMyEkZGRmDBhgtICciEhIaJ9+/ZCLpcLBwcHcfr06RKL6d24cUN8+OGHwsTERBgYGAhnZ2dx8eLFCu/H4lTl1+Xl8mXts+JU5ckVWeCuoKBArFq1SrRt21bo6uqKJk2aCE9PTxEaGlrqWAEBAQJAiUfhsXDgwAHRvXt3YWJiIgwNDcVbb70lTpw4Ib0+LCxMODg4CLlcXmKfFFX8XECIl4uSf/LJJ8La2lro6uoKW1tb4ePjI5KTk6V91qtXL6FQKIStra1Yu3ZtifOM0sYvL98v7XerKud4RFR5MiFKuUkqEREREREREVENGzt2LB49eoSDBw9qOhQiIqpBvHUGEREREREREREREVULC81EREREREREREREVC28dQYRERERERERERERVQuvaCYiIiIiIiIiIiKiamGhmYiIiIiIiIiIiIiqhYVmIiIiIiIiIiIiIqoWFpqJiIiIiIiIiIiIqFpYaCYiIiIiIiIiIiKiamGhmYiIiIiIiIiIiIiqhYVmIiIiIiIiIiIiIqoWFpqJiIiIiIiIiIiIqFpYaCYiIiIiIiIiIiKiavk/V1kCvc2KzgoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.cm as cm\n",
    "\n",
    "X = df2\n",
    "range_n_clusters = [2, 3, 4, 5, 6]\n",
    "\n",
    "for n_clusters in range_n_clusters:\n",
    "    # Create a subplot with 1 row and 2 columns\n",
    "    fig, (ax1, ax2) = plt.subplots(1, 2)\n",
    "    fig.set_size_inches(18, 7)\n",
    "\n",
    "    # The 1st subplot is the silhouette plot\n",
    "    # The silhouette coefficient can range from -1, 1 but in this example all\n",
    "    # lie within [-0.1, 1]\n",
    "    ax1.set_xlim([-0.1, 1])\n",
    "    # The (n_clusters+1)*10 is for inserting blank space between silhouette\n",
    "    # plots of individual clusters, to demarcate them clearly.\n",
    "    ax1.set_ylim([0, len(X) + (n_clusters + 1) * 10])\n",
    "\n",
    "    # Initialize the clusterer with n_clusters value and a random generator\n",
    "    # seed of 10 for reproducibility.\n",
    "    clusterer = KMeans(n_clusters=n_clusters, init='k-means++' , random_state=142)\n",
    "    cluster_labels = clusterer.fit_predict(X)\n",
    "\n",
    "    # The silhouette_score gives the average value for all the samples.\n",
    "    # This gives a perspective into the density and separation of the formed\n",
    "    # clusters\n",
    "    silhouette_avg = silhouette_score(X, cluster_labels)\n",
    "    print(\n",
    "        \"For n_clusters =\",\n",
    "        n_clusters,\n",
    "        \"The average silhouette_score is :\",\n",
    "        silhouette_avg,\n",
    "    )\n",
    "\n",
    "    # Compute the silhouette scores for each sample\n",
    "    sample_silhouette_values = silhouette_samples(X, cluster_labels)\n",
    "\n",
    "    y_lower = 10\n",
    "    for i in range(n_clusters):\n",
    "        # Aggregate the silhouette scores for samples belonging to\n",
    "        # cluster i, and sort them\n",
    "        ith_cluster_silhouette_values = sample_silhouette_values[cluster_labels == i]\n",
    "\n",
    "        ith_cluster_silhouette_values.sort()\n",
    "\n",
    "        size_cluster_i = ith_cluster_silhouette_values.shape[0]\n",
    "        y_upper = y_lower + size_cluster_i\n",
    "\n",
    "        color = cm.nipy_spectral(float(i) / n_clusters)\n",
    "        ax1.fill_betweenx(\n",
    "            np.arange(y_lower, y_upper),\n",
    "            0,\n",
    "            ith_cluster_silhouette_values,\n",
    "            facecolor=color,\n",
    "            edgecolor=color,\n",
    "            alpha=0.7,\n",
    "        )\n",
    "\n",
    "        # Label the silhouette plots with their cluster numbers at the middle\n",
    "        ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n",
    "\n",
    "        # Compute the new y_lower for next plot\n",
    "        y_lower = y_upper + 10  # 10 for the 0 samples\n",
    "\n",
    "    ax1.set_title(\"The silhouette plot for the various clusters.\")\n",
    "    ax1.set_xlabel(\"The silhouette coefficient values\")\n",
    "    ax1.set_ylabel(\"Cluster label\")\n",
    "\n",
    "    # The vertical line for average silhouette score of all the values\n",
    "    ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n",
    "\n",
    "    ax1.set_yticks([])  # Clear the yaxis labels / ticks\n",
    "    ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n",
    "\n",
    "    # 2nd Plot showing the actual clusters formed\n",
    "    colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n",
    "    ax2.scatter(\n",
    "        X['petal length (cm)'], X['petal width (cm)'], marker=\".\", s=30, lw=0, alpha=0.7, c=colors, edgecolor=\"k\"\n",
    "    )\n",
    "\n",
    "\n",
    "    # Labeling the clusters\n",
    "    centers = clusterer.cluster_centers_\n",
    "    # Draw white circles at cluster centers\n",
    "    ax2.scatter(\n",
    "        centers[:, 2],\n",
    "        centers[:, 3],\n",
    "        marker=\"o\",\n",
    "        c=\"white\",\n",
    "        alpha=1,\n",
    "        s=200,\n",
    "        edgecolor=\"k\",\n",
    "    )\n",
    "\n",
    "    for i, c in enumerate(centers):\n",
    "        ax2.scatter(c[2], c[3], marker=\"$%d$\" % i, alpha=1, s=50, edgecolor=\"k\")\n",
    "\n",
    "    ax2.set_title(\"The visualization of the clustered data.\")\n",
    "    ax2.set_xlabel(\"Feature space for the 1st feature\")\n",
    "    ax2.set_ylabel(\"Feature space for the 2nd feature\")\n",
    "\n",
    "    plt.suptitle(\n",
    "        \"Silhouette analysis for KMeans clustering on sample data with n_clusters = %d\"\n",
    "        % n_clusters,\n",
    "        fontsize=14,\n",
    "        fontweight=\"bold\",\n",
    "    )\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}