Alois-star/DP0701EN-3-3-1-Clustering-k-means-py-v1.0.ipynb

## DP0701EN-3-3-1-Clustering-k-means-py-v1.0.ipynb
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   "source": [
    "<a href=\"https://cognitiveclass.ai\"><img src = \"https://ibm.box.com/shared/static/9gegpsmnsoo25ikkbl4qzlvlyjbgxs5x.png\" width = 400> </a>\n",
    "\n",
    "<h1 align=center><font size = 5><em>k</em>-means Clustering</font></h1>"
   ]
  },
  {
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   "source": [
    "## Introduction\n",
    "\n",
    "There are many models for clustering out there. In this lab, we will be presenting the model that is considered the one of the simplest model among them. Despite its simplicity, *k*-means is vastly used for clustering in many data science applications, especially useful if you need to quickly discover insights from unlabeled data.\n",
    "\n",
    "Some real-world applications of *k*-means include:\n",
    "- customer segmentation,\n",
    "- understand what the visitors of a website are trying to accomplish,\n",
    "- pattern recognition, and,\n",
    "- data compression.\n",
    "\n",
    "In this lab, we will learn *k*-means clustering with 3 examples:\n",
    "- *k*-means on a randomly generated dataset.\n",
    "- Using *k*-means for customer segmentation."
   ]
  },
  {
   "cell_type": "markdown",
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   },
   "source": [
    "## Table of Contents\n",
    "\n",
    "1. <a href=\"#item1\"><em>k</em>-means on a Randomly Generated Dataset</a>    \n",
    "2. <a href=\"#item2\">Using <em>k</em> for Customer Segmentation</a> \n"
   ]
  },
  {
   "cell_type": "markdown",
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    }
   },
   "source": [
    "Before we start with the main lab content, let's download all the dependencies that we will need."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Libraries imported.\n"
     ]
    }
   ],
   "source": [
    "import random # library for random number generation\n",
    "import numpy as np # library for vectorized computation\n",
    "import pandas as pd # library to process data as dataframes\n",
    "\n",
    "import matplotlib.pyplot as plt # plotting library\n",
    "# backend for rendering plots within the browser\n",
    "%matplotlib inline \n",
    "\n",
    "from sklearn.cluster import KMeans \n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "\n",
    "print('Libraries imported.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
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    }
   },
   "source": [
    "<a id='item1'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    }
   },
   "source": [
    "## 1. *k*-means on a Randomly Generated Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
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     "read_only": false
    }
   },
   "source": [
    "Let's first demonstrate how *k*-means works with an example of engineered datapoints. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
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     "read_only": false
    }
   },
   "source": [
    "#### 30 data points belonging to 2 different clusters (x1 is the first feature and x2 is the second feature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
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    "new_sheet": false,
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     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datapoints defined!\n"
     ]
    }
   ],
   "source": [
    "# data\n",
    "x1 = [-4.9, -3.5, 0, -4.5, -3, -1, -1.2, -4.5, -1.5, -4.5, -1, -2, -2.5, -2, -1.5, 4, 1.8, 2, 2.5, 3, 4, 2.25, 1, 0, 1, 2.5, 5, 2.8, 2, 2]\n",
    "x2 = [-3.5, -4, -3.5, -3, -2.9, -3, -2.6, -2.1, 0, -0.5, -0.8, -0.8, -1.5, -1.75, -1.75, 0, 0.8, 0.9, 1, 1, 1, 1.75, 2, 2.5, 2.5, 2.5, 2.5, 3, 6, 6.5]\n",
    "\n",
    "print('Datapoints defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Define a function that assigns each datapoint to a cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "assign_members function defined!\n"
     ]
    }
   ],
   "source": [
    "colors_map = np.array(['b', 'r'])\n",
    "def assign_members(x1, x2, centers):\n",
    "    compare_to_first_center = np.sqrt(np.square(np.array(x1) - centers[0][0]) + np.square(np.array(x2) - centers[0][1]))\n",
    "    compare_to_second_center = np.sqrt(np.square(np.array(x1) - centers[1][0]) + np.square(np.array(x2) - centers[1][1]))\n",
    "    class_of_points = compare_to_first_center > compare_to_second_center\n",
    "    colors = colors_map[class_of_points + 1 - 1]\n",
    "    return colors, class_of_points\n",
    "\n",
    "print('assign_members function defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Define a function that updates the centroid of each cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "assign_members function defined!\n"
     ]
    }
   ],
   "source": [
    "# update means\n",
    "def update_centers(x1, x2, class_of_points):\n",
    "    center1 = [np.mean(np.array(x1)[~class_of_points]), np.mean(np.array(x2)[~class_of_points])]\n",
    "    center2 = [np.mean(np.array(x1)[class_of_points]), np.mean(np.array(x2)[class_of_points])]\n",
    "    return [center1, center2]\n",
    "\n",
    "print('assign_members function defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Define a function that plots the data points along with the cluster centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
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    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "plot_points function defined!\n"
     ]
    }
   ],
   "source": [
    "def plot_points(centroids=None, colors='g', figure_title=None):\n",
    "    # plot the figure\n",
    "    fig = plt.figure(figsize=(15, 10))  # create a figure object\n",
    "    ax = fig.add_subplot(1, 1, 1)\n",
    "    \n",
    "    centroid_colors = ['bx', 'rx']\n",
    "    if centroids:\n",
    "        for (i, centroid) in enumerate(centroids):\n",
    "            ax.plot(centroid[0], centroid[1], centroid_colors[i], markeredgewidth=5, markersize=20)\n",
    "    plt.scatter(x1, x2, s=500, c=colors)\n",
    "    \n",
    "    # define the ticks\n",
    "    xticks = np.linspace(-6, 8, 15, endpoint=True)\n",
    "    yticks = np.linspace(-6, 6, 13, endpoint=True)\n",
    "\n",
    "    # fix the horizontal axis\n",
    "    ax.set_xticks(xticks)\n",
    "    ax.set_yticks(yticks)\n",
    "\n",
    "    # add tick labels\n",
    "    xlabels = xticks\n",
    "    ax.set_xticklabels(xlabels)\n",
    "    ylabels = yticks\n",
    "    ax.set_yticklabels(ylabels)\n",
    "\n",
    "    # style the ticks\n",
    "    ax.xaxis.set_ticks_position('bottom')\n",
    "    ax.yaxis.set_ticks_position('left')\n",
    "    ax.tick_params('both', length=2, width=1, which='major', labelsize=15)\n",
    "    \n",
    "    # add labels to axes\n",
    "    ax.set_xlabel('x1', fontsize=20)\n",
    "    ax.set_ylabel('x2', fontsize=20)\n",
    "    \n",
    "    # add title to figure\n",
    "    ax.set_title(figure_title, fontsize=24)\n",
    "\n",
    "    plt.show()\n",
    "\n",
    "print('plot_points function defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Initialize *k*-means - plot data points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
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   },
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_points(figure_title='Scatter Plot of x2 vs x1')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Initialize *k*-means - randomly define clusters and add them to plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers = [[-2, 2], [2, -2]]\n",
    "plot_points(centers, figure_title='k-means Initialization')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Run *k*-means (4-iterations only)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 1 - Press Enter to update the members of each cluster \n"
     ]
    },
    {
     "data": {
      "image/png": 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OiCsj4j0R8e8urhHxuoj4HPn1/Tp9/z/ywuL2/RFxROXLe0RMJbfkdda57vMRcVVE7N3t/Tk5Ir5BXpsT4Kpu11XeP5/sYYzh11g6c+3NEbF7dWiIiLUj4jDyY61Xv4Hak/zaz+XVda+l8rta3WX26oj4UUS8s1iSBYCI2JClf0R6hqUB/30RcUtEHBARb6g6vyMiDgA+XuzqS30gr/n4L3K39yuK+62E8r3IY7JftbTJMHAIeWzrm4EbI2KHStfZiBgVERtGxJHAXym3O/CAP/MkDVNlLbjp5ubmVtZG/hKZgOtqHFuZPFtoIo+JfIbcYvd4t/MmkFsjUtU2m9wKWb3vzG7XTaPGAus16rF7cf+Vcl4if3lLwN/Ik4+k7vUqrl2/6tyF5BkxHycv0VA5Z7t61xfHv1t134vJX4ir6/Pfda6rHJ9a5/jUyjkDeN326/bc1tte9boO0fsqyC2a86vqsqR47uZ1q+NNwJR+vB4Xd3s9ZhX/nkfumviq5x04rNt9zqm6rrKdUuO+9q86Pq94vz1OXlex+rwtivdW5dyFwD+7Pf4EbNvtuseL/dsN8Hm+vrj+oj6e/9aquryp2HdXjfd39Ws0F3h3VRm7dXtMXSwdW1nZdznQ1tfHCuzY7bmaXfXzTSwd63lKt+umVq7p4THXfT/Veq90Oz6NXj6jeiqDPDZ1dtU5C4r3xSvdnsM39LNedR83ffjMc3NzG1mbLZmShpWU0j+B7cmtH8+TZ6Z8Q7FVnzc3pbQ78IHi3KfIM5WOJXc3PY886+RBA6zHr4F3kVstXyYvFfA34IfAW1i6hEitax8gL3R+JTn0rlbUv88TpaSUjiRPrvIb8hfEieTw/Vtgh5TS1/v9oEa4lB0DrA0cA9xMfg9NJH/x/Qt5wp3tU0rbpJR6XaKiyseAbwIPksdDLiQHz61SSn+oc815wAHk8YIzi2smkv9w8lvy7MifrfE4ziyuu624rzXI75+Vu513O/nL/RHFY32Z3F1xHnnc5nHAFiml6/vxOHsUEWuytJvxJT2dW+VWli7Js29x+xnyHwSuBZ5g6ZqeDwD/C7w5pfSnqjKuIS8Hcza5dbMLWI78O3F1Ue4HUy9r31ZLKV1FbuX9VVHOOOCxol7vrqrTsGrRTCldAaxL/kPVHeTgPJn8h7KbgW+Rw/7fSrzPQX/mSRpeIqXU7DpIkiQNKxFxI3nyn/1TSmc1uTqS1FIMmZIkSf0QEVuTW/2WkLuP/r3JVZKkluI6SZIkSd1ExIHkLsgXkMdOLi5m4t0DOLE47UIDpiS9mi2ZkiRJ3UTEd8njbCFPPvQieexiZT6Lu4D3FOPEJUlVbMmUJEl6tfPJk/tsS56gZkXy5Dj3kycD+lnKa7BKkrqxJVOSJEmSVBpbMoGVV145TZ06tdnVkCRJkqSmmDFjxj9TSquUUZYhE5g6dSrTp09vdjUkSZIkqSkiorT1cUf1fookSZIkSX1jyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaUxZEqSJEmSSmPIlCRJkiSVxpApSZIkSSpNW7MrIEmSlg2LF8M//wmLFsGkSTBxYrNrJElqBFsyJUlSwzzzDBx9NGy0EUyYAFOnwrrrwoorwmqrwW67wR/+AEuWNLumkqSy2JIpSZJK9+KLcMghcOGFEAHz57/6nOeeg9/8Bv70J5g8Gc4+G971rqGvqySpXLZkSpKkUt1yC6y1Flx0ESxYUDtgVpszB558Ej74QTjwwNydVpI0fBkyJUlSaW64AXbYAV54ofdw2V1XF5x7Luy+ex6/KUkangyZkiSpFH//O7z//TksDlRXF1xzDXzta+XVS5I0tAyZkiRp0FKCj3+8/62XtXR1wcknw/Tpgy9LkjT0DJmSJGnQrr4a7ryzvPGU8+bBQQeVU5YkaWgZMiVJ0qAdd1yewKdM990HM2eWW6YkqfEMmZIkaVDmzs0T/pRt4UI4//zyy5UkNZYhU5IkDcpdd0F7e/nlLloE111XfrmSpMYyZEqSpEH5y18at7al3WUlafgxZEqSpEHp6mpcyCxjtlpJ0tAyZEqSpEEZNw5Gj25M2WPGNKZcSVLjGDIlSdKgrLcejB3bmLLXXrsx5UqSGseQKUmSBmWzzXKX2bKNGgXvfGf55UqSGsuQKUmSBmXyZNhkk/LLbW+HPfcsv1xJUmMZMiVJ0qAdcQRMnFhuma99LWy5ZbllSpIaz5ApSZIGbbfdYI01IKKc8jo64Ec/KqcsSdLQMmRKkqRBa2uDiy6C8eMHX9b48Tm07rjj4MuSJA09Q6YkSSrFhhvCGWfksZQDNX48vOlNcOqp5dVLkjS0DJmSJKk0e+0FZ58NEyb0f+3MCRPgrW+FG27I3WUlScOTIVOSJJVqzz3hvvugsxPGjev9/La23Pp54olwzTXlTyAkSRpahkxJklS6v/8d/va3vNZlbxYvhpTg3nth/vzG102S1FiGTEmSVJqU4DvfgZ12gmefhXnz+nbN/Plw2ml5XOdTTzW+npKkxjFkSpKk0nznO/D970NXV/+vnTcPnngir4357LPl102SNDQMmZIkqRTXXgvHHTewgFmxeDH84x/wkY/kFk5J0vBjyJQkSYPW1QUf+9jgAmbFokVwxx1w5pmDL0uSNPRaNmRGRFtEfC0iHo6IBRHxZESc2IfrJkXEmRExKyJejIhzI2KloaizJEnLql/+EubMKa+8uXPhyCNhyZLyypQkDY2WDZnAmcAXgR8C7wW+BvRh+gAuALYDPgPsB2wBXNqQGkqSJACOPz4HwzK9/DJcfXW5ZUqSGq+t2RWoJSJ2AvYCNkkp3d+P67YGdgS2TSndUOx7Crg1InZIKflflSRJJXvuOXjyyfLLnTMHfvMbeO97yy9bktQ4rdqS+Sngmv4EzMLOwHOVgAmQUroNeKw4JkmSSjZjBowf35iyb7qpMeVKkhqnVUPmVsBDEfG/EfFSRHRFxCURMaWX69YHHqixf2ZxTJIklezRR2HBgsaU/fe/N6ZcSVLjtGrIXI08nnJTcrfZ/YHNgV9HRPRw3QrA7Br7ZxXH/kNETIuI9PTTTw+6wpIkLasWLWrcBD2LFjWmXElS47RqyIxi2zWl9PuU0gXAJ4AtgXf1cm2tVbWi1v6U0rSUUkyZ0lsDqSRJqmfSJBgzpjFlT5jQmHIlSY3TqiFzFnBvSumFqn03Aa8AG/Ry3eQa+ydTu4VTkiQN0sYbw+jRjSl7k00aU64kqXFaNWTOrLM/gJ465DxA7bGX9cZqSpKkQdpoI5g/v/xyx42Dd/XWf0mS1HJaNWT+Dtg4Ilau2vdOYAxwdw/XXQGsFhHbVHZERCfwxuKYJEkq2dixsNtuMKrkbxURsPfe5ZYpSWq8Vg2ZPwdeAC6LiA9GxN7AL4CrU0r/nsw8Ih6JiNMrP6eUbgGuAs6JiD0iYjfgXOAm18iUJKlxvvKVcpcxGT0attsOXve68sqUJA2NlgyZKaWXyBP8zALOB04G/gR8pNupbUD3USB7AdcDZwDnADOA3RtZX0mSlnWdnbDrrrmLaxnGjYOf/KScsiRJQytSqjUZ67Kls7MzTZ8+vdnVkCRpWJs9G9ZbD55/Hgbz9aKjA44/Hg4+uLy6SZJ6FhEzUkqdZZTVki2ZkiRp+Jk8GW68EVZYYeDjMzs6crg0YErS8GXIlCRJpVl3XZg+Hd785v6tcTlqVA6Yxx2XWzElScOXIVOSJJVqzTXhjjtg2rTcurnccvXPHTs2Txi03XZwzz3whS8MVS0lSY3imEwckylJUqMsXAiXXpq3W2+Fp5+GJUtyq+VGG+V1MPfdF6ZObXZNJWnZVuaYzLYyCpEkSaplzBjYc8+8SZKWDXaXlSRJkiSVxpApSZIkSSqNIVOSJEmSVBpDpiRJkiSpNIZMSZIkSVJpDJmSJEmSpNIYMiVJkiRJpTFkSpIkSZJKY8iUJEmSJJXGkClJkiRJKo0hU5IkSZJUGkOmJEmSJKk0hkxJkiRJUmkMmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaVpyZAZEftFRKqxfa6X6yZFxJkRMSsiXoyIcyNipaGqtyRJkiQt69qaXYFevAuYV/Xzo72cfwGwHvAZYAlwHHAp8I6G1E6SJEmS9B9aPWTenlKa05cTI2JrYEdg25TSDcW+p4BbI2KHlNLVDaynJEmSJIkW7S47QDsDz1UCJkBK6TbgseKYJEmSJKnBWj1k/jUiFkXEgxHx2V7OXR94oMb+mcUxSZIkSVKDtWp32WeAo4DbgNHAx4CfRURHSunEOtesAMyusX8W8MaG1FKSJEmS9B9aMmSmlK4CrqradUVEjAOOjIiTUkpL6l1aY1/U2U9ETAOOXn311QdTXUmSJElSodW7y1b7FbAiMLXO8VnA5Br7J1O7hZOU0rSUUkyZMqWUCkqSJEnSsm44hcyKmq2S5PGYtcZe1hurKUmSJEkq2XAKmR8C/gn8rc7xK4DVImKbyo6I6CSPx7yi8dWTJEmSJLXkmMyIuJg86c895Il/PlpsX6yMx4yIR4DrU0qfBkgp3RIRVwHnRMSXgSXAccBNrpEpSZIkSUOjJUMm8CDwKWAN8sQ99wOfTCn9ouqcNnIArbYXcCJwBrmV9nfAFxteW0mSJEkSAJFSvSGOy47Ozs40ffr0ZldDkiRJkpoiImaklDrLKGs4jcmUJEmSJLU4Q6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaUxZEqSJEmSSmPIlCRJkiSVxpApSZIkSSqNIVOSJEmSVBpDpiRJkiSpNIZMSZIkSVJpDJmSJEmSpNIYMiVJkiRJpTFkSpIkSZJKY8iUJEmSJJXGkClJkiRJKo0hU5IkSZJUGkOmJEmSJKk0hkxJkiRJUmkMmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaVp+ZAZEa+NiDkRkSJiYi/nToqIMyNiVkS8GBHnRsRKQ1VXSZIkSVrWtXzIBH4AzOnjuRcA2wGfAfYDtgAubUitJEmSJEmv0tbsCvQkIt4B7AR8jxw2ezp3a2BHYNuU0g3FvqeAWyNih5TS1Y2uryRJkiQt61q2JTMiRgM/Br4N/LMPl+wMPFcJmAAppduAx4pjkiRJkqQGa9mQCXwOGA+c3Mfz1wceqLF/ZnFMkiRJktRgLRkyi8l6vgMcnlJa2MfLVgBm19g/qzhW636mRUR6+umnB1ZRSZIkSdJ/aMmQCRwL3JpS+n0/r0s19kWd/aSUpqWUYsqUKf2tnyRJkiSphpab+CciNgQ+BbwzIiYXuzuK20kRsTilNK/GpbOAVWrsn0ztFk5JkiRJUslasSVzHWAMcAs5OM5i6bjMJ8mTAdXyALXHXtYbqylJkiRJKlnLtWQCNwHbd9u3E3AE8D7g0TrXXQEcFRHbpJRuAoiITuCNxTFJkiRJUoO1XMhMKf0TuK56X0RMLf55Y0ppTrHvEeD6lNKni+tuiYirgHMi4svAEuA44CbXyJQkSZKkodGK3WX7qg0Y3W3fXsD1wBnAOcAMYPchrpckSZIkLbMipZoTry5TOjs70/Tp05tdDUmSJElqioiYkVLqLKOs4dySKUmSJElqMYZMSZIkSVJpDJmSJEmSpNIYMiVJkiRJpTFkSpIkSZJKY8iUJEmSJJXGkClJkiRJKo0hU5IkSZJUGkOmJEmSJKk0hkxJkiRJUmkMmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaUxZEqSJEmSStPW7ApIkiQNB3PnwnPPQUqw8sowaVKzayRJrcmWTEmSpDruvhs+9Sl4/ethhRVgk01g001hlVVgtdVgzz3hxhtz8JQkZbZkSpIkdfPoo/Dxj8M998CCBbB4cd6/cBwGzAQAACAASURBVOHSc557Di6+GK64Al73Ovi//4O3vKU59ZWkVmJLpiRJUpWzzoKNNoLbb4eurqUBs5aUcjfaBx+Et78dvv1tWzUlyZApSZJU+N//hYMP7j1c1jJvHhx/PBx+uEFT0rLNkClJkgRcdx189as5YA7U3Llw6qlw9tmlVUuShh1DpiRJWubNmQN77ZVbIwdr7lw45BB46qnBlyVJw1FLhsyI+HBE3BwRL0TE/Ih4MCKOjIixvVw3KSLOjIhZEfFiRJwbESsNVb0lSdLwdPLJ8NJL5ZU3fz4cdVR55UnScNKSIRNYCbgW+AywM3AG8E3ghF6uuwDYrrhuP2AL4NJGVVKSJA1/S5bACSeU04pZsWgRnH8+vPxyeWVK0nDRkkuYpJRO6bbr2ohYHjg4Ig5J6dXD6SNia2BHYNuU0g3FvqeAWyNih5TS1Q2vuCRJGnZmzCg3YFa0tcGVV+a1NCVpWdKqLZm1vAD01F12Z+C5SsAESCndBjxWHJMkSXqV6dP7P5NsX8yZA3/+c/nlSlKra8mWzIqIGA2MAzYDvgj8tFYrZmF94IEa+2cWxyRJkl7lzjsHN6NsPSnltTYlaVnT0iETmEsOmQDnAF/p4dwVgNk19s8C3lhyvSRJ0gjRyHGTc+c2rmxJalWt3l32bcA7gP8CdgX+t5fza7VyRp39RMS0iEhPP/30oCopSZKGrwkTGld2e3vjypakVtXSITOldEdK6aaU0gnk7rKfj4i16pw+C5hcY/9kardwklKallKKKVOmlFNhSZI07Gy6aWPCYARsvnn55UpSq2vpkNnNHcXtmnWOP0DtsZf1xmpKkiTR2Zlngi3bxInw1reWX64ktbrhFDLfXtw+Vuf4FcBqEbFNZUdEdJLHY17R4LpJkqRhqrMTxowpv9yFC2Fn57eXtAxqyZAZEVdGxJcjYueIeG9EHAP8P+CClNJfi3MeiYjTK9eklG4BrgLOiYg9ImI34FzgJtfIlCRJ9bS1wSGHwPjx5ZU5ejTsvjtMrjWQR5JGuJYMmcDtwH7ARcCFwAeBrwOfqDqnDRjd7bq9gOuBM8iz0c4Adm9wXSVJ0jB32GHQ0VFeeePGwbHHlleeJA0nLbmESUrpKOCoXs6ZWmPfbGD/YpMkSeqTyZPhF7+APfcc/JqZEybA978Pa9abRUKSRrhWbcmUJEkaUu97H3zta4Nr0ezogA9/GA4+uLx6SdJw05ItmZKkZc+CBXDvvXDPPfDyyzB2LKy9dl4CYsUVm1278r30Etx5JzzwAMyfn8PJhhvm5TTK7La5LEsJnnoKZsyAJ5+ExYth5ZXhLW+BddfN4ya7O+qo3BJ55JH5dUk1V9qurb0dDjgATjghL1+iEWrevPxBde+9MHdu7hu93nqw2WYwaVKzaye1BEOmJKmpbrkFfvADuPzy/F1tyRJYtAhGjcozfs6fnwPBEUfkrozjxjW7xgO3eDFcdhkcd1wOPu3teQbSJUty4Glry99f3/lO+OpX4T3vMawMxKxZcPrpOezNnp3fR6+8kgPj2LH5NiXYbz849FBYZ53/vP7ww2GHHWCvveDvf885oqewudxyeTvvPNh224Y+NDVLSnDddfnD6uqr8y/vokX5l7ryYTVvHmy8cf6w2n33xqyLIw0TkfrzJ7oRqrOzM02fPr3Z1ZCkZcoLL8CnP52/r3V19d5iNHFibtG86CLYcsuhqWOZHnggh+THH4c5c3o/f+LE3Kp53nmwxhoNr96IkBJceCEceGD+/t/b2MoxY3IOOPRQOOaYHEC7l3fDDTms3nBDzhCVP3IsXJizxZZb5lC68861W0Y1AjzzDHziE/DnP+e/OPRm4kR47Wvzh9VGGzW+flJJImJGSqmzlLIMmYZMSRpq994L222Xv68tWNC/a9vbc0vgIYc0pGoN8atfwb775lbZJUv6fl1bW15W47LL8vOl+hYvhv33h4sv7v/EPR0dMHUqXH997k5bzzPP5C0lWGWVHP5taR7hbrkFdtop/4Vh4cK+XxeRf3lPOSUHVGkYMGSWzJApSUPngQdgq63ymMSB6uiA448fHpOr/OY38LGP5e+oA9XRAX/4A7z97eXVayRJCT7+8fxcD3Rm2DFjctC8/XaH1akwffrSv4YNVHs7nHYa7L13adWSGqXMkOnsspKkIfPKK/CBD+SJfQajqwu+8hW4665y6tUof/97Dj+DCZiQH+8uu+TxhXq1M8+E3/52cEuPLFwITzyRJ+6RmDMnf1gNJmBC/uU/4AD461/LqZc0TBgyJUlD5tvfXtrdcLDmz89jHBcvHnxZjbLPPv3vDlzP3LnDo+V2qD3zTB5TOdgsAPm1uvxy+P3vB1+WhrnDD4cXXyynrPnz8yxS9h7UMsSQKUkaEnPnwoknDn6h+4qU4NlnWzcQ3HFH7m23aFE55S1YAJdckpfk0FInnZRbyMvS1QVf/3p55WkYev55OOecHA7LsGQJzJwJN99cTnnSMGDIlCQNifPOy7NxlmnOnDwJUCs64YTyWjErUoKf/rTcMoezhQvhZz8rN2QCPPII3H13uWVqGDnttPI/rLq68vIn0jLCkClJGhKXXNK3pTv667bbyg8ZZbjyyvK78i5YAL/+dbllDmf33NO/2Xr7atGiPNGSllEXXzz4gdTdpQR/+pNdZrXMMGRKkobEHXc0ptzx4+Evf2lM2QP1/PODn9yonocfLq8L7nA3Y0ZjxuS+8gpcd1355WoYSAnuv78xZS9enGeXkpYBhkxJUsOllINXI0TAY481puyBevzxHH4boa0NnnuuMWUPNw8/XN4Y3+6cDHQZNXt242YTGzs2fzhIywBDpiSp4VJqXC+xlFqvZW/Rohx+GyGi9R5vsyxc2LiyfY6XUYsXN+6XF3xjaZlhyJQkNdyoUTBuXOPKnjy5MWUP1OTJjWsMWbgQJk1qTNnDzUorwejRjSm71d5TGiITJzYuCKbkL6+WGYZMSdKQWHfdxpQ7fz5sumljyh6oddYpf2bZikmTDEAVb3kLTJhQfrkRsPXW5ZerYWD8eFh99caU3dUFG27YmLKlFmPIlCQNie22a0yr03LLwaqrll/uYLS1wZve1Jiyt9yyMeUOR1ts0ZgwP3EibLNN+eVqmHjb2xrTZfYNb4D29vLLlVqQIVOSNCQ+/enyu8yOGwcHHlhumWU5+OAcVsq03HK5XGWveQ10dpZf7pIl8MEPll+uhonPf778JvKODvjCF8otU2phhkxJ0pDYZBNYb71yGwhGjcrfB1vRxz9efpkTJsCOO5Zf7nD29a+XmwfGjYP998+ZQMuobbeFlVcuv9z99iu/TKlFGTIlSUPmzDPLW9qjowO+/GV43evKKa9sEybASSeVF4A6OuCssxo30c1w9b735S7EbW3llDdhAnznO+WUpWEqAs4+u7yurRMmwPe/72BqLVMMmZKkIbPJJnDEEYNvJRozBtZcE446qpx6Ncr+++cJZAYbrDs6YM89bcWsJQJ++ctywnx7O5x7rllAwDvfCZ/61OA/rMaNg403tp+7ljmGTEnSkPrWt+BjHxv4d7exY3Pr5bXX5rDZyiLg0kvzhJIDDZodHfn77qmnllu3kWTKFLjmGlh++YF3x25vzy3PO+1Ubt00jJ10Uv7LzkA/rMaNy1NNX3ll7tsvLUN8x0tqWS+80Nzr1RgROTAddVT+Yt+fUDBhAmy/PUyfDqus0rg6lmnCBLjhBvjwh/v/XbW9PU9sdNllrR+om22zzeDPf87f6fvzPI8dm5eFOf98OOCAxtVPw9Do0XDRRfDFL/a/62xHR5496uab818/pGWMIVNSS5o2LfcweuihgV3/0EP5+mnTyqyVyhIBX/taDovveEdu5Rs7tv65Eyfm1stTT4UrroAVVxza+g5WRwf84hfwk5/kGWL7YuWV4Ve/ghNPLG+84Uj3pjfBfffl99akST0/1x0d+X23557w8MOwyy5DV08NI6NHw3//N9x0Ux78295e/xdy1Kj8V6U3vjH/1eKii/r+Cy+NMJFSanYdmq6zszNNnz692dWQVJg2DY45Jv97ypTcLXLddft+/UMP5daup5/OPx99tGGz1T36KJx3Xn6t77svr1ne1gZTp+b1CnffPb+mjVi6biikBCefnMejLlgAixf3fs2YMTkEnXJK7l6s/nnlldxV+fe/h1tugWefza/D8svnZU922CE/ryut1Oyaalh54IH8YXX99XD//TB/fv5lXWut/BezD32ocetsSg0WETNSSqUsDGXIxJAptZLqgFnRn6DZPWBWGDTVLEuW5AmALr4Y5s7t//UdHXDoofC975VfN0mSKsoMmXaXldQyXnih9uQmTz+dg2NvXWfrBUzI5TpGU81w2GG52+tAAibkVt2TToIf/rDcekmS1CiGTEktY6WVcovllCmvPtZb0OwpYFZaQu0Wp6F27bVw2mk5KA5GV1eelfe++8qplyRJjdSSITMi9oyI30bEUxExJyJmRESvI1IiYlJEnBkRsyLixYg4NyL8WikNI+uu2/+g2ZeA2Z8xnVIZFi2Cj38c5s0rp7z582HvvcspS5KkRmrJkAkcDswBvgTsAlwLnBcRh/Ry3QXAdsBngP2ALYBLG1ZLSQ3Rn6BpwFSr+t3vYM6c8spLKU+QdPvt5ZUpSVIjtGrI/GBKae+U0oUppWtSSl8G/o8cPmuKiK2BHYF9U0oXp5R+DewDbBMROwxNtSWVpS9B8/LLDZhqXSecAC+/XG6Z8+bBj35UbpmSJJWtJUNmSumfNXbfCazaw2U7A8+llG6oKuc24LHimKRhpreg+YEPGDDVmlLKa4CWbckSuO668suVJKlMw2l557cB9/dwfH3ggRr7ZxbHJA1DlaBZr8WyOwOmWsFjjzVumbznnssz1U6Y0JjyW9KcOXDXXfC3v+VFRldcETbdFF77WtcjlKQWNCxCZkS8G9gV+FQPp60AzK6xfxbwxkbUS9LQ6GvQNGCqVfzjH3l99kYYMyYvxzPiQ+b8+XDRRXD88fDgg9DenptyAUaPhgUL8r4DD4SDD4Y11mhufSVJ/9aS3WWrRcRU4DzgNymls3o5PdUqos5+ImJaRKSn+9I8Iqmp1l0Xfv7zns/5+c8NmGoNjW5cG9Xy/3sP0vXXw5prwkEH5XVbFi6El17KLZpz5sCLL+YQOmsW/M//wHrrwbe/naf0lSQ1XUv/NxURKwJXAE+QJ/HpySxgco39k6ndwklKaVpKKabUGvAlqaU89FBusOjJgQfWX0dTGkqrrw6vvNKYsl95BVZeuTFlN11KcNRRsPPO8OyzfZued8GCPCPSccfB5pvnZl5JUlO1bMiMiA7gd8BY4P0ppbm9XPIAtcde1hurKWmY6GmZkmr11tGUhtoaa+QenY0qe/z4xpTddN/4Rp6WdyCLi3Z1wcyZsPXWuaVTktQ0LRkyI6INuAhYB9g5pfSPPlx2BbBaRGxTVU4neTzmFQ2pqKSG62vArDBoqhVEwNvfXn65o0fDe95Tfrkt4cor8/osXV0DL2PhQnjiCfhUT1M4SJIarSVDJvAT4H3Ad4AVI+KtVds4gIh4JCJOr1yQUroFuAo4JyL2iIjdgHOBm1JKVzfhMUgapJ4C5pQpebH7ntbRNGiqmQ4/HCZOLLfMsWPhi18st8yW8NJLsM8+gwuYFQsW5MB62WWDL0uSNCCtGjLfW9yeBNzSbVu9ONYGdO+MtBdwPXAGcA4wA9i90ZWVVL7eAua118L739/zOpoGTTXTDjvAa15TXnmjR+chhxtuWF6ZLeOMMwbWRbaeri74ylfKK0+S1C+RUs2JV5cpnZ2daXojVs2WNCB9CZjVs8j293xpqMyYAe94Rzn5qaMjT7S65pqDL6ulpJQHmj71VLnlTpgA11wDW25ZbrmSNEJFxIyUUmcZZbVqS6akZdRAAmNlHU1bNNVqNt8cvvnNHBAHo6MDfvKTERgwAR59NC9FUrb58+Hyy8svV5LUK0OmpJbxwgsDb5HsS9B0ZQM1wze+AYcdNvCg2d4Oxx8P++5bbr1axowZ0NZWfrmLF+f1NiVJQ86QKallrLQSHHDAq/f3tctrT0HzgANy+dJQi4Bjj4Vzz4VJk2DcuL5d196ex3RefjkcfHBj69hUf/0rzO1tlbIBeuSRxpQrSeqRIVNSS5k2DY4+eunP/R1TWStoHn10Lldqpt12y3nq8MNh8mRYfvlXB872dlhuOVhlFTjyyJyRtt++OfUdMgsX5lbHRli0qDHlSpJ61ID+KZI0OJVAeOqpA5u0pxI0t98+t2AaMNUqVloJvve9/J689dbcU/TOO3ND3vLL5zGcnZ15G919/vSRqpK2Fywov+yy15CRJPWJIVNSS5o2DQ45ZOBdXNddF+65xy6yak1jx+ZZZ9/xjmbXpAVsvDGMH9+YkNlZyiSJkqR+sruspJY12IBowJSGgc02K3eNzIqODth22/LLlST1ypApSZKaZ/LkxjTpLlkCe+5ZfrmSpF4ZMiVJUnMdcQRMmFBeeW1t8P73w8orl1emJKnPDJmSJKm5dtgB3vY2GDOmnPLGj4f/+Z9yypIk9ZshU5IkNVcEnHNOHkc5WB0d8KMfweteN/iyJEkDYsiUJEnNt9pq8Kc/5YVCB6qjIy9Euv/+5dVLktRvhkxJktQaNt8cbr4Z1lyzf62ao0fn83/wA/jOdxpXP0lSnxgyJUlS63jzm2HmTDj00DwZ0MSJ9c8dOzaPv3znO/PCuAcdNHT1lCTVZciUJEmtZdw4+N734B//yOMrd9kFVl89zxo7enTuUvvWt8JXvgL33w/XXANrrdXsWkuSCm3NroAkSVJNHR15fKVjLCVpWLElU5IkSZJUGkOmJEmSJKk0hkxJkiRJUmkMmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkrjEiaSJGnkWrgwr6X55JOwZAmstBJsvDFMnNjY+12wAO69F559FlKC17wGNtoI2tsbe7/N8tJLcPfdMGtWXsv0DW+A9dfPa5tKWub4my9JkkaWRYvgt7+FH/wAZsyA8eNhVNF5KyXo6oLXvx4OPRT23RcmTSrnfufPh4sugh/+EGbOrH2/664L//VfsNdeeR3Q4eyFF+D00+Hkk+GZZ3KAjsjHFi+GV16BrbeGr3wFdtoph09Jy4RIKTW7Dk3X2dmZpk+f3uxqSJKkwbrlFvjIR+DFF+Hll3s+t6Mjh8ATT4RPf3ppQBqIK66AT3wit2DOmdPzuRMnwpgxcOaZsOuuA7/PZlmyBH70I/jmN3N4njev5/OXWw5WWw0uvBA23XRo6iip3yJiRkqps4yyHJMpSZKGv5TgmGPg3e/OXWN7C5iQWxbnzIHDDsstbb2FpVqWLIHPfhY+/OHcstdbwIR8zqxZsPfe8MlP5pbX4eKll2CbbeDII/Pz15fn7OWX4ZFH4G1vy+FU0ohnyJQkSUNj3jx46KHclfSZZ3IwLMtRR8Hxxw8sKM6dCzfcADvskFsi+yol2G8/+OUvc+Dqr64uuPhi+OhHc1htdXPm5IB5xx35OeuPSovn178O/+//NaZ+klqGIVOSJDXOI4/ksY9Tp8Lyy8Pmm8NWW8Eb35jHQm63HfzqV3mCnoG6/PLc5XUgQa9i/ny48848frCvTjkFLrlkcPfb1QVXXZXr3+oOPDD/kaA/Qby7ri741rfgppvKq5ekluOYTByTKUlS6Z5/Hj7zGfjDH/IkMD2FyOWWy2MUzzij/2MUZ8+GtdaCf/1rcPWtaG+Ha66Bt7615/OeeAI22KD/LXo93e8998Daa5dTXtmuugr22GNwgbralCn5DxAjdbZdaRga8WMyI2LtiDglIu6OiMURcV0fr5sUEWdGxKyIeDEizo2IlRpcXUmSVO3qq2GddeDKK3MLYW+tlC+/nEPi3nvnrqP9aSn72c8G1kW2nnnz4Mtf7v28Y48dXIted6+8AkcfXV55ZTv88PICJuSJmX7xi/LKk9RSWjJkAhsC7wMeKra+ugDYDvgMsB+wBXBpyXWTJEkVS5bkEFnpGXXllbDLLjlEvPJK/8rq6oLLLoOdd+7btUuW5G6mZYZMyMue/PWv9Y/PmZMDUpkT9ixenLvezppVXpllueMOePzxcsucOxeOO67ccbmSWkarhszLUkprpJT2BP7SlwsiYmtgR2DflNLFKaVfA/sA20TEDg2sqyRJy465c+G00/JsrKuumtc+HDcub2utBR/84OBC37x58Oc/5xlfe/OXv5Tbulbt8svrH7vxxty9t2xjx+auuq3m0kvLbbWtePppeOqp8suV1HQtGTJTSgOZYm1n4LmU0g1V5dwGPFYckyRJA7VwYe7Oueqq8KUv5TF6zz+fj6WUjz/6aDmte/PmwVln9T45zIwZjWkJmz8/zzZbz+23NybczpkDt95afrmDdf31uaW1bGPH5tdQ0ojT1uwKlGh94IEa+2cWxyRJ0kA89BB84AO51alRLYfdzZsHBx8Md99d/5yZM8ubeKe7+++vf+zuuxuztuWSJXDXXeWXO1iPPNKYcitL2kgacVqyJXOAVgBm19g/qzj2KhExLSLS008/3dCKSZI0bN1/f15y5JFHhi5gVjzySJ5xtZ758xt33z2NCW1E19GhKHugBrO8TE8WL+7/uF1Jw8JICpkAtfrMRJ39pJSmpZRiypQpja2VJEnD0ezZeR3LF19szgQtCxbA+efXPz5pEkQ05r4nTuz5fhulkWUPVEdHY8odM6bn51nSsDWSQuYsYHKN/ZOp3cIpSZJ68vnPw0svNW8G0MWLex4buckmeY3NRujsYam4LbeE8ePLv88xY3pfn7MZNt64MeWOHw8bbdSYsiU11UgKmQ9Qe+xlvbGakiSpnjvvhN/+tvndNx98sP6xLbZoTHfLiRNhm216vt9GzC7b3p7LbjXbb9+YUD1vHmy2WfnlSmq6kRQyrwBWi4h//68QEZ3AG4tjkiSpr374w+YHTOi5Dq9/Pay7bvn3uWgR7LZb/eNbbZUDYdlGjcrdk1vNnns2pty3vQ0m1+qEJmm4a8mQGREdEfHhiPgw8FpglcrPEdFRnPNIRJxeuSaldAtwFXBOROwREbsB5wI3pZSubsbjkCRpWFq8GC6+uDHLVvTXuHE9Hz/iCJgwobz7a2uDD32o5/AzenRex7PMoDl+fJ5NtxEtpIP1utfBttvmEFyWCRPgq18trzxJLaUlQyawKnBRsb0V2KDq51WLc9qA0d2u2wu4HjgDOAeYAew+BPWVJGnkeOCBvIZhK+itpfKjH4W11iovAI0fD8cf3/t5hx4KK9ScvH5glluutUPXj3/ce+Dvq7Y22Hxz2GmncsqT1HJaMmSmlB5PKUWd7fHinKkppf26XTc7pbR/SmlySmn5lNLeKaV/NuMxSJI0bPW0bMhQGj0a3vnO3s+58MJyxgx2dMDJJ0NfZp3v6Mj3W0ZrZkcHnHceLL/84MtqlHXWgWOPLWem2fZ2OPfcxs0MLKnpWjJkSpKkJpozp3W6yn70o72ft956cMklgwtAHR25dfKTn+z7NW9/O/z0p4MLmh0d8IMfwA47DLyMoXLYYbDPPoN7nidMgCuuyF1wJY1YhkxJkvSfxo4td/zdQK25Jmy6ad/O3XFH+P3vYcUV+9etc9SoHBKPPRa+973+13HffXOr3HLL9W88ZVtbnsX21FPhoIP6f7/NEAE/+1keB9ve3r+WyPZ2WH11uPbaHM4ljWh9/h8kIt4SEV+KiEMiYr0ezts1Is4op3qSJGnIrb1280Nme3vuutof224Ljz6aWz/Hj++5hbGtbemSIXfemVvpBmr33eGhh/IYw/Hjex7POnZsPufd74aZM2HvvQd+v80QAd/6FtxyS14/s6Mjd1mup6MjP95994WHH27NJVoklS5SHxZYjogfAl+q2pWAnwD/lVJa2O3co4FvpZR6+MRpLZ2dnWn69OnNroYkSa1h7tw8u+qiRc25//b23C3z5z8feBn/+Aecdhpcdhncd19ekzEib+uum9d+/NznYMMNy6s3wBNP5HpfcUUOkZV1PMeMgfXXh/e+N9/vmmuWe7/NcuedcMopcN11OeCnBEuW5FbajTfOS8Hsv39uYZbU0iJiRkqps5SyeguZEbE7cDHwEnABsBD4EHmW1xuA96eUuqrON2RKkjTcbbUV3Hbb0N9ve3ueefTqq8ubzTSlHPYWL86takPVSptSXuczpXy/I32imyVLYP783LI5duzIf7zSCFNmyOzLp+zngfnAVimlz6aUvgCsSw6e2wK/i4gSpnSTJEkt44gjcmvUUOroyGMr//jH8gIm5LAzblwufyi7AUcs7ba7LASuUaPyczxu3LLxeCXV1ZdP2s2AS1JKD1Z2pJReTil9BPgfYDvgsogo8X8DSZLUVLvskpfyGIqwMHFi7p571lnw61+XsxyJJKlp+hIyJwJ/q3UgpXQ48P+AdwOXRkSLrNwsSZIGpa0NLrqonMAXkbtPjhmTZ2Fdfvnc4tXRAVtvnccwPvss7Lnn4O9LktR0bX045xlgtXoHU0pfiYg24FByF9oWWcFZkiQNysYb5xlev/AF6Orq/fxaxoyB1VaDGTNyYH3iiTyh0OTJ8PrX261SkkagvoTMmeSxl3WllL5UtGJ+Hti+jIpJkqQWsP/++fbgg/OkLn2Ylf7fOjpgjTXyzKOrrJL3lT2bqySp5fSlu+wVwBsj4h09nZRSOhg4Hegoo2KSJKlF7L8/TJ8OG2zQt8mAxo3LrZaHHQb33JNbMiVJy4y+tGReDEwBVurtxJTSARHxJDB1kPWSJEmtZIMNcmD84x/h+OPhxhv/c1mOiNzSudxy8JnPwEEH5VZMSdIyp9d1MgdUaERbSqlJKzj3n+tkSpLUT4sWwcyZ8OijsHAhTJoEm2wCq67a7JpJkgagzHUy+9KSWX3HPwe+mFKa38M5U4HzgbcOqmaSJKl1tbXBS2FM0QAAIABJREFURhvlTZKkKv1dkfgzwG0RsX6tgxHxYeBOYIvBVkySJEmSNPz0N2QeC2wATI+I/Ss7I2JsRPwEuABYDOxeXhUlSZIkScNFv0JmSukoYEfgZeC0iPhFRHQCtwGfA24GNk0p/bb0mkqSJEmSWl5/WzJJKf0J2AS4GtgbuBXYEPgusG1K6clSayhJkv4/e/cdX3dZNn78c6UjTdLSFhClMkUqoiBCWDKLgDIUVBREHkRUQFQUHOAAQVwMFcGJ6OP4yXzAAciWPQotQzYKokIVsBZomzQduX9/3CcS0+x8T87I5/16nVfJN9/7yn1lHM517iVJUs0Y0sY/3SwCngNK+5bzAnBTSqmzkF5JkiRJkmrSkEcyI+INwN3Ae4GryNNkJwJXRsRXI2LIMSVJkiRJ9WFIBWFEfBS4HXgV8PmU0h4ppbOBLYA/AscBN0fEOoX3VJIkSZJU9YY66ngW8Cx57eUpXRdTSn8in4v5fWBb8jEmkiRJkqQxZqhrMn8LHJpSWtDzEymlpcDHI+I64CdFdE6SKq29HS65BK69Fm67DebPz9df9jLYdlvYfXfYd1+YNKmy/ZSkivj3v+HCC+G662DOHHjxRWhogLXWgu23h732yk+UDa6mksaSSCkVHzRi7ZTS3wsPXCatra1pzpw5le6GpCrS1gYnngg/+EH+eNGi3u+bPDn/+/GPwwknWGxKGiOefRaOOQYuvjgXkG1tK98TkZ8km5vzE+phh1lsSlUsIuamlFoLiVWOIrPWWGRK6u7OO+Gd78xv0Le3D65NczOsvjr8+tew+ebl7Z8kVdQll8AHPpCfIJctG1yblhZ43evg//4P1l67vP2TNCxFFpm+nSRJ3VxzDcyaBU8/PfgCE/Kb+H/7G+ywA9xwQ9m6J0mVdeaZ8D//k6fFDrbABFi8GObOze/C/fnP5eufpKpgkSlJJfffD+94R++zvgarrQ323hseeaS4fklSVbjkEvjc54b/JLliRZ4issMO8MILxfZNUlWxyJQk8hvy++03sgKzS3s7vOc9+fWUJNWFZ5/NU2RH+iTZ2QnPPw9HHllMvyRVpaotMiNi44i4LiLaImJeRHw5IsYNot3UiPjfiFgQES9ExK8iYrXR6LOk2vXDH8JTT0ERy9Q7O+GJJ+CnPx15LEmqCp/6FCxZUkysJUvgN7+B2bOLiSep6lRlkRkR04FrgQTsA3wZ+BRw0iCaXwDsDHwIOATYEvhNOfopqT6kBKecUswoZpfFi+Eb3yimaJWkilqwIG/Ys3RpcTHb2+G004qLJ6mqDPWczNFyBNAEvDOl9CJwTUSsApwYEaeWrq0kIrYF3gLslFK6qXTtaWB2ROyaUrp2lPovqYbMnl2e5UHPPAP33gtvfGPxsSVp1Fx0EYwbcDLZ0KQEl12W391rbi42tqSKq8qRTGAP4KoexeT55MJzpwHaPdNVYAKklO4E/lL6nCStZPZsWL68+LgpORtMUh24/vo8PaNojY35nThJdadai8yNgP/amzGl9DegrfS5QbcreXiAdpLGsFtvLW6pUXdtbXD77cXHlaRRdddd5Ym7bJlFplSnqrXInA4838v1BaXPFd1O0hj23HPli/2vf5UvtiSNihd7XaU0ch0deadZSXWnWotMyJv+9BR9XB9Wu4g4MSLSvHnzhtE9SfVifBlXpxe9jEmSRl1DmV4uNjT4JCnVqWotMhcA03q5PpXeRyoHajett3YppRNTSjFjxoxhdVJSfXjtayGi+LgNDTm2JNW0ddYpT9ymJlhvvfLEllRR1VpkPkKPNZQRsTbQQu9rLvtsV9LXWk1JYpttYPLk4uNOngxbb118XEkaVTvuWJ7RzM5O2GKL4uNKqrhqLTKvAN4SEVO6XdsfaAduHKDdKyJi+64LEdEKvKr0OUlayaxZxR7/1mXp0vzaTJJq2p57lueYkZYW2GCD4uNKqrhqLTJ/CHQAl0TErhFxGHAi8K3ux5pExJ8j4iddH6eUbgeuAn4REe+MiH2BXwG3eEampL6suWYuNIvU0JBfl62+erFxJWnUzZoFU6cWG7OpCY4+ujxrFSRVXFUWmSmlBcCbgXHApcBJwLeBL/W4dXzpnu4OII92/hT4BTAXeEc5+yup9n35y/k1T1EaG+GEE4qLJ0kVE5GfJFtaios5cSIcdlhx8SRVlaosMgFSSg+llHZJKTWllNZMKR2fUlrR4571UkqH9Lj2fErpAymlaSmlVVJKB6aUPERAUr+23DK/3imi0Gxuhk98At7whpHHkqSq8IEPwOabF7Mdd0sLnHMOrLrqyGNJqkpVW2RK0mj7xjdg443zKORwTZqUi8uTTiquX5JUcRFwwQWw2mojO3akuRkOPBD226+4vkmqOhaZKqvOTvjLX+D+++HRR2HJkkr3SOrbpElw/fWw2WbDmxXW0pJHRK+5Js8Ek6S6suaaMHs2zJiRnzCHqrkZDjoIfvjD4vsmqapYZKpwixbBj36UZ9U0N8Mmm8D220NrK6yySt5I7vOfh6eeqnRPpZVNmQK33gpf+EL+/R1MsThxYp5me9JJuUgtctmSJFWVddeFhx6C970vP0kO5miTpqa8cdAvf5lfIJTjOBRJVSVSSpXuQ8W1tramOXPmVLobNa+zE773PTjuuDyrZvHivu9tbMz3HHggfOc75TmjUBqpJ5+EM8/MS4e6nio7OvK/XVNqI+CII+DjH4e1165INyWpMu69F04/HS6+GCZMgBUr8tlNDQ15pHPZslxcHnMMfOhDMH16pXssqR8RMTel1FpILItMi8wi/Pvf+biGBx7ov7jsadKkPLp51VV5iqJUjVasyNO9586Ff/4zv356+cvzGeIzZ45seZIk1byOjrwu5p574Pnn85PkeuvlJ8l11/WYEqlGWGQWzCJzZBYsgK22gr/9bfgH2k+ZAjfckKfYSpIkSRpdRRaZTorXiKQE73rXyApMgIULYbfdcsEqSZIkqXZZZGpEfv5zuPPOkRWYXRYvzmvbJEmSJNUui0wN2/LleS3/UNZg9qejAy69NG9aJ0mSJKk2WWRq2H73u1xoFmnZMvj2t4uNKUmSJGn0WGRq2H72s7yWskjLl8NFFxUbU5IkSdLoscjUsJVrQ96ODpg3rzyxJUmSJJWXRaaGZdkyeOaZ8sRubIQHHyxPbEmSJEnlZZGpYenoyGctl8uSJeWLLUmSJKl8xle6A6pNjY3Q2Vm++E1N5Yut2nXvvXDDDXDTTfDkk/mc1pe/HHbcEbbbDnbYobxvfoymzk648Ua49Va4+WZ49tmc23rrwU47waxZsMkmle6lJEnSyiwyNSwTJuQX9//4R/GxOzpg442Lj6valBJccgmccEIuLDs7Vx7p/sMf8hsfU6bAscfCRz8K42v02W3ZMjjzTDjtNGhry7kuW/bS5+++G37/+1xwbrABnHwy7LNP5forSZLUU528569K2HLL8sRtbIQZM8oTW7Xl2Wdhjz3g/e/P56d2FV09LVsGixblNz0+/3l4wxvg4YdHv78jdf/98PrX54L6mWfy7s3dC8wuS5bk78X998OBB8Lb3gb/+tfo91eSJKk3Fpkatve/P48cFWn8eHjPe4qNqdr05JO5WPzDH2Dx4sG3a2vLBeZWW+WpprXi+uth223hT3/KOQxWWxtcfTW88Y3w1FPl658kSdJgWWRq2N7+9uKnJE6YAJ/8ZLExVXsWLMhrLJ99tveRvIGklEc23/rWPAJa7e67D/beOxfTKQ29/dKleRR3u+2KP7tWkiRpqCwyNWzjx8O3vw0tLcXEa2zMhavrMXXEETB//sg3l1q8GPbbD5YvL6Zf5bB0KbzrXUMbvezNihW5KD/qqGL6JUmSNFwWmRqRgw+GrbeGiRNHHmvyZPjhD0ceR7XtxhvhssvyBlAjlRL87W9w1lkjj1Uup59e3AZaS5bAhRfCHXcUE0+SJGk4LDI1IhFw8cWw7rojKzSnTIFrroFp04rrm2rTV7868lG97hYvhlNPLe+RO8O1fDl861vF5tveDl//enHxJEmShsoiUyM2bRrMng2bbz70qbOTJuWjUG66KW9corHt2Wfz70LRFi3KI6TV5ppr8nTZIqUEV12V17VKkiRVgkWmCjF9et7J89RTobk5T33tT2NjLjDf9z74859hs81Gp5+qbrNn59+Noi1ZAjffXHzckbrxxqHtnDtYjY0wZ07xcSVJkgbDIlOFaWiAI4/Mo1Hf/jZssUUuJJubYZVVcuE5YQK8+tXw6U/n4vKccwYuSDV2zJ1bnqJr+fLyjJCO1C23lGcab3t7/l5KkiRVQsEHUEh5yuyHPpQfnZ1545VFi/KazXXXLc9IlerD00/nXVLL4dlnyxN3JJ57rjxxly0rbjMhSZKkobLIVFk1NMB661W6F6oVEbUZuxo1OE9FkiRViC9DJFWN9dfPU6rLYe21yxN3JNZaqzxxGxvzrAFJkqRKsMiUVDVaW6Gpqfi4EyfCTjsVH3ekdtoJxpdhPkljY14TLUmSVAlVWWRGxJERcXlEzI+IFBE7D6HtPhFxf0QsiYiHImL/MnZVUoG22qr4Iz0gj47uvHPxcUdql13y5lhFW7YsHykkSZJUCVVZZAIHA6sCVw2lUURsD1wMXA/sAVwOnBcRuxfeQ0mFmzoV9t23+PWEM2bkUdJqs912sOqqxcYcNw4OOGDoZ9ZKkiQVpVqLzDellLYFvjbEdscDN6WUjkopXZ9S+gxwJXBC4T2UVBaf+1yxOxC3tMBJJ1Xnxj8RcMIJxRaEEyfCZz9bXDxJkqShqsoiM6U05JPjIqIRmAVc2ONT5wPbRsTUIvomqbw23TSft9rcPPJY48fDllvmkb1qdeihOedx40Yeq7k5n0G70UYjjyVJkjRcVVlkDtMGwATgkR7XHybnOXPUeyRpWL76VZg5c2Qjmg0NMH06nHtudY5idomACy7IU4VH0s/GRnj96+H444vrmyRJ0nDUU5E5vfTv8z2uL+jx+f+IiBMjIs2bN6+sHZM0NI2NcP31eURuOLvNNjbC6qvDbbfBmmsW37+irb023HprXp85nCNcmpthk03g2mvLdwSMJEnSYFW0yIxsfLdHARPGSD2/TB/XSSmdmFKKGTNmFPBlJRVp2jS44448dbapafCbAbW0wB57wEMPwatfXd4+FmmjjXKfd9tt8Gs0Gxry9+YTn8hF6pQp5e2jJEnSYFR6JHMnYFm3x3UjiNU1Yjmtx/Wuj3uOcEqqcpMmwemn5xHJd70rfzx16n+P1jU0wCqr5M/tvDP8+tf5sdpqFev2sK2xBlx+OVx0EWy/fc5plVX+u8AeP/6lfPffH2bPhq99LW/4I0mSVA3KcAz4kMwFtuz28cIRxHqcXKhuBNzY7fpGQCfw2AhiS6qgzTaDCy+EBQtyUXXXXfDEE5BSng675ZawzTb5qJJ6sMce+fHUUy/l+49/5M2BNtggH8eyzTa54JYkSao2kdJKs0irRkS8HrgfmJVSumEQ918FjEsp7drt2mXAtJTS9n21a21tTXPmzCmgx5IkSZJUeyJibkqpkJPFKz2S2auIaAXWA9YuXdopIlYHnkwpzSndczDwU2CDlNJfS/edDNwQEWcAvwH2LD3eOordlyRJkqQxqyqLTOBjwPu7fXxi6d+fA4eU/rsBGMdLG/uQUrolIvYDvgJ8BPgLcGBK6eoy91eSJEmSRJVPlx0tTpeVJEmSNJYVOV220rvLSpIkSZLqSLVOl5VUxR55BK69Fm68ER5/HJYvz0eGbLddfuy2Wz5qQ5IkSWOPLwMlDdrVV8PnPw8PPZQ/bm//78/ffDM0N+cC86ij4Nhjoalp9PspSZKkynG6rKQBvfgivPe98I53wNy5ubjsWWACrFgBCxfm8yxPPRU23BBuv330+ytJkqTKsciU1K9//QtaW+HXv4a2tsG3a2+Hp5+GN785t5UkSdLYYJEpqU8dHbDjjvDkk/m/h6O9HQ46CG66qdCuSZIkqUpZZErq0xe/mAvMZctGFqetDd79bli0qJBuSZIkqYpZZErq1cMPw/e+1/vay+F48UX4wheKiSVJkqTqZZEpqVff/ObIRzC7W7IEzjkHFi8uLqYkSZKqj0WmpJUsXQrnnpvPvyxSQwNcckmxMSVJklRdLDIlreSBB/JZl0VbtAj+8Ifi40qSJKl6lOFlpKRad8890NlZntgjPTfzmWfyWZ1PPw0pweqrw+abw7rrQkQxfVxJSvkLzp2bOxABr3hF/sIzZpTxC0uSJNUei0xJK3nuubyGshz+/e+ht3n+efjZz/I60eeeg0mTXlovOn58/u/GRjj8cPjYx2CttQrq7LPPwo9+BGedBQsXwsSJL80hHj8+zyueOhWOOgo+/GF42csK+sKSJEm1y+myklZSzoG5oca+6KI8SvmFL8BTT+XzOl94IR+L0taWd61tb8+F6BlnwMyZ8I1vwIoVI+hkSvCDH8CrXgVf+9pLVfeLL/73F16yJI9sfuUrsP76eWejlEbwhSVJkmqfRaaklbzyldDUVJ7Yr3jF4O5bsQIOPhgOOeSl2m4gHR254PzKV+BNb8rthqy9Hd7yFvjMZ/JWuIMZ0m1vz/d+8pPwtrfljkiSJI1RFpmSVrLFFuWLvcMOA9+TEhx0EFx88eCKy54WL4b77oMddxxi+2XLYI894Oabh3fWyuLFeWejvfcufmteSZKkGmGRKWklM2eWZ3fZKVNgt90Gvu/HP4ZLLx1egdmlowMefRSOPnoIjU46Ce66a2QLUtvb4bbb4JRThh9DkiSphllkSlrJuHFwxBF5M50iTZgAe+3V/z1PPQXHHDO8gcSeliyB//f/8sDkgP74R/jWt0ZW2XZpa4OvfhUeeWTksSRJkmqMRaakXn3848WOZra0wGc/O3DM009/aefYIrS1wXHHDeLGL32p2C11Ozrgy18uLp4kSVKNsMiU1KsZM+DUU3NxOFIReYfYT32q//uWLIGf/CSfDFKku++GP/+5nxuefRauvLLYnWE7O+HXv4YFC4qLKUmSVAMsMiX16Ygj8kY9I91pdsoUuOSSgUcx586FhjI8K0XA1Vf3c8P11+e5vEWbOBFuuqn4uJIkSVXMIlNSnxoa4De/ge23H96I5vjxMHVqruFe85qB7587t/hRTMh78fS7LvOOO2DRouK/8OLFcOedxceVJEmqYhaZkvrV2AhXXJGXLDY1DX6dZktLPqvygQdg880H1+bhh4tdFtldv3vwPPhgsVNlu6xYkb8B0lgzf35l20uSKsoiU9KAxo2Dz3wG7r8fPvCBXGyuskqeDdqloSFfmzQJttwSfvlLuOEGWGutwX+dIjf8GVLscn7hcgzNStXsxBNh003hsceG1/6xx3L7E08ssleSpFFUhpPwJNWrDTaAs8+Gb387zwKdMye/Hly+HNZYA1pbYaut8iY/w7Hqqnn9ZDkGFadNG+ALl8vqq5cvtlRtTjwxnzcLMGtWnis/c+bg2z/2WG43b95LcSw2JanmWGRKGrKWlvw6cNasYuNusQVMngwLFxYbNyJP3e3TdtvB5ZfnY0eK1NQE22xTbEypWnUvMCEXikMpNLsXmF0sNCWpJjldVmXx+ONw8smwyy7wilfkzV9WWy2PdB1zTN6EpRyjVaptW22VR0WLNnnyAEXmVlv999zfoowbl2NL9W7+fPjxj1e+3lVoDjR1trcCs8uPf+waTUmqMZF8pU9ra2uaM2dOpbtRFx54AD7ykTyNsrOz9+VoDQ15gOdlL8vTLvfdd/T7qeq12WZw333FxpwyJR+FOWlSHzd0duaDQZ95ptgvvPba8Ne/5qFUqd71VyjOmNH3iOZw20mSChURc1NKrUXEqrqRzIhYMyJOi4j7ImJRRPw9In4eETMG2X6fiLg/IpZExEMRsX+5+6w8KnnyyXnQ5tZb8w6hfe130tmZT3Z48kl43/tykfnCC6PaXVWx444b3nEpfZk0CQ4/vJ8CE/I7H5/6FDQ3F/eFm5vhs5+1wNTYMXNmLghn9PK/675GNC0wJakuVV2RCWwBvAM4D3gb8Blga+C2iJjcX8OI2B64GLge2AO4HDgvInYva4/HuM5OOPhgOOWUfB7hUAbH29rgyith661hwYLy9VG14z3vgY03zjNNizBlChx//CBuPOqoPLxehAh45StzdSuNJUMpNC0wJaluVd102YiYBixKKS3vdm0m8ChwSErp5/20vQqYkFLapdu13wOrpJS276ud02VH5nOfgzPPzAXjcE2cCJtsArNnF1dcqHY98QS84Q2waNHI4jQ1we9+B7vuOsgGd90FO+88sl9myKOYt92Wk5DGooEKyLPPhsMOs8CUpCpS19NlU0rPdy8wS9ceA9qANfpqFxGNwCzgwh6fOh/YNiKmFt1X5dfk3/nOyF+TL10KjzyS12hKr3oVXHHFyKbNNjXBWWcNocCEfMDnr36VGw9XczNceKEFpsa2gUY0997bAlOS6ljVFZm9iYhNgWbgoX5u2wCYADzS4/rD5Dz9P1YZHHJIniJbhMWL4YQT4Lnniomn2rb99nDTTbDWWkNbKjlxYt7N+Lzz4IMfHMYX3ndfuOyyvB1yvws5e5g0KU+3vfJK2GuvYXxhqc70V2j2xgJTkupG1ReZEdEAfAf4E3B1P7dOL/37fI/rC3p8XgW56668cWbRzjmn+JiqTZtvnmfdffSjudCc3M+q7KYmaGyEd7wD/vQn2GefEXzhXXbJ5/AcdFAuHvurcpub8xc/5JDcZocdRvCFpToz2ELTAlOS6kpF12RGRADdV+CllNKKHvecAnwC2CmlNLufWNsBtwCbpZTu63Z9Q+AxYPeU0jU92pwIfGnNNddkXm/TdtSvD30I/vd/88Y/RVprLfj734uNqdq3eHGehXr55XDnnfCvf+VNplZZBd74RnjLW3JNWNTePf/x/PNw7rl5hHLOnLxDVQRMn54Pft1zT3jve3NHJPXu8svzFNm+XHaZMwAkqcKKXJNZ6SJzZ/JOsF1uTCnt3O3zRwLfBd6bUrpggFgbAw8CO6eUbux2fUvgTmCrlNJdvbV145/hmTkzjxgVbcKEPGV2qqtoJan29bcJUBdHMiWp4upp45+5wJbdHv/Z7z8i3gWcBXx2oAKz5HFgGbBRj+sbAZ3k0UwVZMUK+MtfyhO7qQn++MfyxJYkjaLBFJjQ9zmakqSaVNEiM6W0MKU0p9vjUfjPCOevgO+mlE4fZKwO8qjou3t8an/g9pTSCwV2fcxbsqS88Z/vubJWklRbBltgdrHQlKS6UemRzJVExGuB35B3ib0gIrbp9tig230HR8TyiFi3W/OTgZ0j4oyI2DkiTgX2BL48qkmMAePGFb8Ws0sEjB9fntiSpFEw0DmZl13W9/EmFpqSVPOqrsgEtgamAm8AbgVu7/Y4vtt9DeRNg6LrQkrpFmA/YFfgKuDtwIEppf52pdUwTJoEU6aUJ/by5bD++uWJLUkqs4EKzOuvz5v89HeOpoWmJNW0im78Uy3c+Gd4dtgBbrml+LiNjdDWBg3V+BaIJKlvgykwu2/uM9T7JUllU08b/6iG7bdf/8cHDtcOO1hgSlLNGU7B2N85mo5oSlLN8qW8hu397y9+XebkyfDZzxYbU5JUZvPnD39EcjCF5vz5xfZXklRWFpkatmnT4LDD8pEjRYiAddeFN7+5mHiSpFGy2mrw4Q+vfH2wU177KzQ//OEcX5JUMywyNSLf+AasumoxsSZNggsvdKqsJNWkE0+EL33ppY+Huqayt0LzS1/KcSVJNcWX8xqRpia4/PI8zXUkmpvhzDNh442L6ZckqQK6Cs3hbtrTvdC0wJSkmuXusri7bBHuugt22y3vCrts2dDaNjXBt74FRxxRnr5JVSUleOop+Ne/8hzxGTNgjTUq3SupWPPnj2yK60jbS5KGzN1lVXW23BIefRR22QVaWvJr54FMnpzPw7zpJgtM1bkVK/Lh829+M6yyCrzmNbDzzrDTTrDOOnnO+Tvfmc8E8o0/1YORFogWmJJU0xzJxJHMIqWUi8bTToOrr86jlMuX50dDQz4Ds709z4g67jh497th4sRK91oqoxtvhAMPhIUL86MvEXne+PrrwwUXOHdckiSNqiJHMi0yscgsl/Z2uO8+uP9+WLQoF5MzZ8Lmm/smtcaAzk44+mg455w8j3ywIvIuWKedBh/9aPn6J0mS1E2RReb4IoJIvWlqgm22yQ9pTEkJDjkELr54aAVmV9v29nxgbFsbfOYzZemiJElSubgmU5KK9p3vDK/A7K6tLe+sec01hXVLkiRpNFhkSlKRHn8cvvCFkRWYXdra8nrOF18ceSxJkqRRYpEpSUX6/Oeho6O4eIsXw3e/W1w8SZKkMrPIlKSizJ8Pv/tdPrKkKO3tcMYZxcaUJEkqI4tMSSrKFVfA+DLsp9beDvfcU3xcSZKkMrDIlKSi3H57Pq+naJ2dMHdu8XElSZLKwCJTkopSrkKwrQ3uvbc8sSVJkgpmkSlJRWlvL1/sInarlSRJGgVlWDwkabQ88QRceSXcfDM8/DAsWwarrALbbgtvehPsuSc0N1e6l2NIS0v5Yk+eXL7YkiRJBbLIlGrQbbfBscfCnDkQsfIA2uzZcM45eSnfBz4AJ50Eq65amb6OKVtsAXfcASkVG7elBd74xmJjSpIklYnTZaUasmQJHHkk7Lor3HJL/ri3GZopwcKF+YjFH/8YXv1quOyy0e/vmPOmN5VnxDEiF7CSJEk1wCJTqhGLFsEOO8D//u/Qlv51dMCCBbD//nDWWeXrn4A99shzlos2ZQq84Q3Fx5UkSSoDp8uqLDo74e674a678pTO55+HSZNg002htTUP+DQ1VbqXtaOzM9cvDzyQRy+Ho60NjjsOXvYyOOCAYvunkmnTYL/94LzzYMWKYmJOnAjrrw/veQ+MGwcbbABbbw3bbQerr167gYhfAAAgAElEQVTM15AkSSpQpKLXDtWg1tbWNGfOnEp3oy4sWQLf/z5885vw4ou5OOq+KebEibnY7OyEQw/N6wpnzKhcf2vFGWfAF7+Yp7+O1OTJ8Oijft/L5m9/g403LuaHBXmqbPfn6YaG/EPs6IC3vAVOOMGptJIkacQiYm5KqbWIWE6XVWFmz4aZM+H442HevDy9s+epC0uX5uJz0SL4wQ/gNa+Bn/60+H1S6skzz8AXvlBczbJkCRx+eDGx1It11oFvfau4bX17/nF0duY/oo4OuPTSPIf6k58s7/EpkiRJQ2CRqUL86lewyy7w978P/ji/ZctysXnUUXDYYfm1s1Z29tnFfm+WL4drr4Wnny4upnr48IfhkEPKf35MSrm4PPts2GabPC9dkiSpwiwyNWKXXppfUw/3rPjFi+Hcc+Hoo4vtV7343veGvw6zLynlEWSVSQR897twzDGjs/i4vR0eeQRmzcrTBSRJkirIIlMj8swzcNBBI5+p19aWz3W87rpi+lUv/vnP8gxOdXTANdcUH1fdRMDJJ8ONN+YzZCZPztfKZelSeOyxvEZTkiSpgiwyNSJHHFHcKFtbGxx4YC6AlN1zT94oqRz++MfyxFUPW26Zi7/LLoN99snb+06cmIvOyZPzjrFFFZ9tbXDmmfDgg8XEkyRJGoaqKzIjYmJEXBgRT0REe0Q8FxFXRMSgtk+MiH0i4v6IWBIRD0XE/uXu81j11FNw5ZXFzs5ra4NLLikuXq3717+KOwmjp0WLyhNXvYiAnXaCX/8ann02D1HffXd+F2GNNYrd+WrpUjjllOLiSZIkDVHVFZnAOCABXwf2Aj4MNAN/iIhX9dcwIrYHLgauB/YALgfOi4jdy9rjMepHPyp+V9hFi+C004qNWcvKObuynLE1gOnTYcMN8+5LCxcWG3vFCrjoIt9FkCRJFTO+0h3oKaXUDvzX6GNEXAvMB/YFvtVP8+OBm1JKR5U+vj4iXgecAFxdhu6OaVdcUZ6prQ88kAdjJk4sPnateeUr82zKclh11fLE1RDccEPxuzpB/uO5+27YccfiY0uSJA2gGkcye7MYWAL0WXZERCMwC7iwx6fOB7aNiKnl697YkxI89FB5Yk+alAtNweabD3/X3sHEVoXdeGM+U6ZoHR0wZ07xcSVJkgahaovMyMZHxCuAU4EVwHn9NNkAmAA80uP6w+Q8Z5alo2PUkiX5nMtyaGjIS9YEU6fCeusVH7elBfbeu/i4GqJyHVba0ZEPrZUkSaqAqi0ygWOBZcA/gPcDe6aU/trP/dNL//Y88GFBj8//R0ScGBFp3rx5I+3rmFP0WsyesTs7yxe/1nz603kT0iKtWJGPnlEd849IkiRVSEWLzG6jlV2P7qvPfgZsCbwdmAtcFhEbDyJsz/In+rhOSunElFLMmDFjGL0f2yZNKt9aQcgbbip73/uKXZ/a1AQf/GAeJVWFlesXfcIE8HlNkiRVSKVHMncij1Z2Pa7r+kRK6Z8ppTkppUuBt5E3/jmun1hdI5bTelzv+rgMR9qPXQ0N8JrXlCd2Wxtsuml5Yteilhb4xS+gubmYeFOnesJF1dhxx/zHVLSmJmhtLT6uJEnSIFS6yJxLHq3sehze200ppeXA/UB/R5g8Ti5UN+pxfSOgE3hspJ3Vf9t99zxgUrQNN8wjpXrJXnvB//zPyAvN5uZ8VGNLSzH90gjttFN5fhgdHRaZkiSpYipaZKaUFpZGK7sej/Z2X0RMAjYH/tJPrA7y+Zjv7vGp/YHbU0ovFNVvZYcfXvyU2ZYW+NSnio1ZL77/fTjggOEVmg0N+Xt72WWwzTbF903D9OY3Q2NjsTEbGvK7Es6HliRJFVLpkcyVRMR7I+IXEXFgROwcEe8FrgHWpNsZmRFxcEQsj4h1uzU/Gdg5Is4otT0V2BP48qgmMUa8+tWw3XYwvsDTVidMgPe+t7h49aShAc45B374Q5gyZfDrNFta4A1vgHvvhVmzyttHDdG4cXDsscXNhYY8DeBznysuniRJ0hBVXZEJPAqsRi4orwK+DswDWlNK93S7rwEYx0sb+5BSugXYD9i11PbtwIEppatHp+tjz09+UtxATHMz/PSnxb7erjcRedrsY4/B0UfnwapVVslL8LrfM2VKvrbppnD22fnIxFe/unL9Vj8+8QlYe+38gxupSZPytsFOlZUkSRUUqZxnUdSI1tbWNMeDy4ftF7+Aj3wkb9gzXE1NsO++cO65xfVrLFi6FO65B+bOhYceykvxVlsNNt8cttwS1l+/0j3UoDz4YJ7HvGjR8GOMHw/rrAN//KOLbiVJ0pBFxNyUUiHvVBc40VFj1cEHw/z58MUvDq/QbG6GXXfNxaqGZuJE2Hrr/FANe93r4Mor4a1vzX9EQz3jsrER1lwTbr3VAlOSJFVcNU6X1Sj461/ha1/Lxd3LX56nV06dCptsAkccAVdcMbTXuUcfDRddBNOnD376bENDHsH84hfhkkuKXdsp1ZzttoO77soF51AKxeZm2GefPKT9ileUr3/l9vjj8OUv54XDL3sZTJ4M06blBcUf+xhcdx0480aSpJrgdFnG1nTZP/0pT2299dZcRC5d2vt9kyfn17lf/Soceujgl4s9/3xu86Mf5TaLF8OKFS99PiLHXrYM9t4bTj4ZNup56Iw0lq1Ykf+ATjkF/v3v/MfS0fHf9zQ354Jrk01yYfaWt1Smr0V48MH8pHTXXTn3ZctWviciPyF1HfJ64IHFrGGVJEn/UeR0WYtMxkaRmRKceWbedLKjY/CjlC0teX3fhRcObZCkoyMPPMyeDXfcAS++mKd2brZZXnq2226w+urDy0UaE1LKfzy33w433QTPPpt3o11/fdh++zzit+GGle7l8KUEX/86fOUrsGTJ4EcpW1rgTW+C887LC5AlSVIhLDILVu9FZkrwyU/m4y+Gs2Zy/HhYY41cMK61VvH9kzTGpAQf/CBccMHwnpQmTIAZM+DOO/OTkyRJGrEii0zXZI4B3/728AtMgOXL4ZlnYIcdoL292L5JGoNOOmn4BSbkKbXz5uXR3N6m10qSpIqyyKxzjz46/F1fu1uxIheaxx1XTL8kjVH33gunnjryJ6Vly+DJJ/OaVEmSVFUsMuvcYYetvGfIcLW3w49/DI89Vkw8SWPQoYcWNyWirQ2++U146qli4kmSpEJYZNaxxx/PS5aGeuRef5Yvh+98p7h4ksaQ++7L0yuK1NkJ3/9+sTElSdKIWGTWsZ///L+PDynCsmU5rvtFSRqyn/ykuKkVXTo68hQLSZJUNSwy69h115VnT4yU4Iknio8rqc7dcEPx73wBLFyYF41LkqSqYJFZxx58sDxxx4/Pe3dI0pCUa0H3pEl5Kq4kSaoKFpl1bKSbN/Zl+XJ4/vnyxJZUpzo7i58q2z22T0qSJFUNi8w61lCmn25EHs2UpEGLyI9yxfZJSZKkqmGRWcdmzChP3HHj4FWvKk9sSXUqAl72svLETsknJUmSqohFZh3beuvyxG1vhze+sTyxJdWxzTcvT9wlS+B1rytPbEmSNGQWmXXsHe+AKVOKj/va18LkycXHlVTn9tuvPE8eW20FEyYUH1eSJA2LRWYd23ff4tdlTp4Mxx5bbExJY8QBB+RNeoo0ZYpPSpIkVRmLzDo2cSJ8/vPQ0lJczGnT4F3vKi6epDGkpQWOOQaam4uJFwEvfznsuWcx8SRJUiEsMuvcpz6V98MoYkSzqQkuvBAaG0ceS9IYdfzxeVeyInaanTQJLroo70YmSZKqhkVmnRs3Dn772zwCOZLXdM3N8KUvwbbbFtc3SWPQxIlw6aWwyioji9PcDKefDpttVky/JElSYSwyx4D114fbb4c11shv/A9VU1MefHDZ0yAsWgT33Qd33gkPPli+w+elWrbRRnDLLbDaarnoHKqmJjjlFDjyyOL7JkmSRswic4yYORMefTSvp2xuHtz02ZaWPKvt6qvhuOPK38ea9de/wmc+A+usA9Onw447wu6752HfKVPyN//UU2H+/Er3VKoer389PPYY7L334J+UJk+GddeFG2+Ej32s/H2UJEnDEimlSveh4lpbW9OcOXMq3Y1Rc/fd8M1vwsUX50GElGDZsvwab8KEfOTcq16VRy4POGB4o59jwsKFcNRRcP75ecfMpUv7vrepKX+jP/e5vBvT+PGj10+p2t1xR576eumledF3ZycsX/7Sk1J7ex79PO64fAzKcEY/JUlSvyJibkqptZBYFpljr8jssmwZPPQQ3HsvvPhirnte/ep8Xvpqq1W6d1Xu3nvzaOXChbkqH6zm5jwSc911sOaa5eufVIuWLoUHHoA//jH/bU2YABtumJ+Upk+vdO8kSaprFpkFG6tFpobpnntgp53yi+DhGD8+L5CdM8dCU5IkSVWhyCLTNZnSULzwwksjmMO1fDk8+yzstVfxB9NLkiRJFWaRKQ3FRz+ad5AdqeXL86YnZ5wx8liSJElSFan6IjMizoiIFBGnD/L+fSLi/ohYEhEPRcT+5e6jxog//SnvljSUNZj9Wbw4Hz7a3l5MPEmSJKkKVHWRGREbA4cCLw7y/u2Bi4HrgT2Ay4HzImL3snVSY8eZZ8KKFcXHveCC4mNKkiRJFVLVRSZwJvAdYMEg7z8euCmldFRK6fqU0meAK4ETytVBjSEXXJC35C3SokXws58VG1OSJEmqoKotMiNiP+C1wDcGeX8jMAu4sMenzge2jYipxfZQY8r8+XnTn3K4777yxJUkSZIqoCqLzIhoAr4JHJdSWjzIZhsAE4BHelx/mJznzOJ6qDHnkUegqak8sRcvzgeVSpIkSXWgKotM4HPAP4D/N4Q2XSd1P9/j+oIen/+PiDgxItK8efOG3kONLUVt9tObcePKG1+SJEkaRRUtMiMb3+0xLiLWBz4NfDKllIYRtmeb6OM6KaUTU0oxY8aMYXwZjSnNzeWLvXx5+UZJJUmSpFE2vsJffyfyTrBdbgSeAa4AHomIaaXrDUBj6eMX+ig+u0Ysp/W43vVxzxFOafA23hja2soTe+pUmDKlPLElSZKkUVbp6bJzgS27PQ4HXgO8k1w0dj3WBj5W+u9X9hHrcWAZsFGP6xsBncBjBfddY8nUqbD66uWJ/cY3lieuJEmSVAEVLTJTSgtTSnO6PR4FPkTeJbb74xnyrrGzgOf6iNVBHhV9d49P7Q/cnlIq09agGjMOOggmTiw25pQp8MEPFhtTkiRJqqBKT5ddSUppTs9rEbEE+HtK6YZu1w4GfgpskFL6a+nyycANEXEG8Btgz9LjreXut8aAj30Mzjqr2JgR8M53FhtTkiRJqqBKT5cdiQZgHC9t7ENK6RZgP2BX4Crg7cCBKaWrK9JD1Zd11oFDDy1uk56WFjj99OJHRyVJkqQKiuFt4FpfWltb05w5Kw2gSitra4OZM2HePBjJ387EibD11nDjjXk0U5IkSaqgiJibUmotIlYtj2RKo6+5Gf7wB5g2bfjF4cSJeVT0t7+1wJQkSVLdsciUhmrmTJg9G9Zdd+jnZ7a0wBZbwJ13wvTp5emfJEmSVEEWmdJwbLghPPIIfPSjMGnSwOs0J0/Oj9NOg1tvtcCUJElS3bLIlIarsRFOPRWefhpOOgk23TRfa27OBeWkSXnkcttt8660zz4LH/mIU2QlSZJU19z4Bzf+UYE6O/OmQB0ducB8+cstKiVJklT1itz4p+rOyZRqWkMDrLVWpXshSZIkVYzTZSVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVpiqLzIh4MiJSj8c/B9l2n4i4PyKWRMRDEbF/ufsrSZIkScrGV7oD/TgXOKvbx0sHahAR2wMXA98HjgL2BM6LiAUppavL0ktJkiRJ0n9Uc5H5j5TSHUNsczxwU0rpqNLH10fE64ATAItMSZIkSSqzqpwuOxwR0QjMAi7s8anzgW0jYuro90qSJEmSxpZqLjIPjYilEfFCRPxfRKw7wP0bABOAR3pcf5ic58xydFKSJEmS9JJqnS77W+AO4CngtcCXgJsjYpOU0gt9tJle+vf5HtcX9Pi8JEmSJKlMKjqSGdn4bo9xACmlT6SUzksp3ZxSOht4CzAD+MAgwqaeX6aP60TEiRGR5s2bN5I0JEmSJEkllZ4uuxOwrNvjut5uSik9ADwKbN5PrK4Ry2k9rnd93HOEk5TSiSmlmDFjxlD6LEmSJEnqQ6Wny84Ftuz28cIB7l9pNLKbx8mF6kbAjd2ubwR0Ao8Np4OSJEmSpMGr6EhmSmlhSmlOt8ejvd0XEa8HXkMuSvuK1QFcD7y7x6f2B27vZy2nJEmSJKkglR7JXElE7AUcBFwGzCOPRH4R+Bvws273HQz8FNggpfTX0uWTgRsi4gzgN8CepcdbR6v/kiRJkjSWVV2RCfwdWAM4g7yecj5wJfD5lNKL3e5rAMbx0sY+pJRuiYj9gK8AHwH+AhyYUrp6lPouSZIkSWNapNTfMsexobW1Nc2ZM6fS3ZAkSZKkioiIuSml1iJiVXp3WUmSJElSHbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhbHIlCRJkiQVxiJTkiRJklQYi0xJkiRJUmEsMiVJkiRJhanaIjMiNomIyyLihYhYGBF3RsQWg2i3T0TcHxFLIuKhiNh/NPorSZIkSarSIjMiNgNuA54H9gfeDVwKNA3QbnvgYuB6YA/gcuC8iNi9rB2WJEmSJAEQKaVK92ElEXEH8ERK6cAhtrsKmJBS2qXbtd8Dq6SUtu+rXWtra5ozZ86w+ytJkiRJtSwi5qaUWouIVXUjmRGxMbA1cNYQ2zUCs4ALe3zqfGDbiJhaTA8lSZIkSX2puiKTXGACTI+I+yJieUQ8HhEfHKDdBsAE4JEe1x8m5zmz4H5KkiRJknoYX+kO9OIVpX9/AZwK3AXsB5wTEf9IKf2+j3bTS/8+3+P6gh6f/4+IOBH4ErAsIv44kk7XmBnAvEp3YhSNpXzHUq5gvvVuLOU7lnIF86135lu/xlKuMPbyfW1RgSq6JjMiAhjX7VICjgO+ApySUjqu271/IK+33KGPWNsBtwCbpZTu63Z9Q+AxYPeU0jV9tE0ppRhpPrXCfOvXWMoVzLfejaV8x1KuYL71znzr11jKFcx3JCo9XXYnYFm3x3XAv0ufu77HvX8ANu4nVteI5bQe17s+7jnC2d1JA/a0vphv/RpLuYL51ruxlO9YyhXMt96Zb/0aS7mC+Q5bpUcypwCv6XZpIbAmucB8a0rpqm73Hg8clVJ6WR+xGkvtP55S+lG36/8D/AxYNaX0QuFJSJIkSZL+o+qOMImIicA/gXNSSp/tdv0GYHlKadd+2l4FjOt+T0RcBkzr7wgTSZIkSVIxqm7jn5TS0oj4MnBqRDxP3vjnXcCO5Om1AETEwcBPgQ1SSn8tXT4ZuCEizgB+A+xZerx1FFOQJEmSpDGr0msye5VSOoO8AdCHgcuB7YD9Uko3d7utgbxpUHRrdwt5J9pdgauAtwMHppSujohNIuKyiHghIhZGxJ0RscVAfYmIfSLi/ohYEhEPRcT+hSVaJhHxZESkHo9/DrJtzeXbXUScUcr39EHeXzP5RsTEiLgwIp6IiPaIeC4irhjM73Gpfc3kChARa0bEaaWjjBZFxN8j4ucRMWOQ7WsqX4CIODIiLo+I+aXf452H0LZm8o2IjSPiuohoi4h5EfHliBg3iHZTI+J/I2JB6bn8VxGx2mj0ebgi4tUR8aPS7/GK0qycwbSrxVzfHRG/i4inS3+zcyPivYNoV3O5AkTEfhFxW+nvdUlEPBoRXyzNyOqvXU3m21NEvLL0c04RMXmAe2su54g4pJfXUikijhigXc3l2iUixkfEcRHxp4joiIinIuLbg2hXczlHxA19/HxTRGzbT7uayxUgIg6IiLtLf7NPR8QvBvN6akT5ppTq/gFsRl6v+f/Io5pvBY4Hth+g3fbAcuBMYBZwGtBJ3qm24nn10+8ngV8B23R7bD6IdjWZb7f+bwy8CLwAnF5v+QJNwAXkN192AfYFbizl+6p6yrXU572BP5PfcJoFHEA+B/dJYHK95Vvq9x3A7cC55N22dx5ku5rJl3yc1DzgWmA34AhgMfCVQbS9EvgLeXbLO8g7h99c6ZwG6PM+wN+Bi8jnNt8wyHa1mGvX7+57Ss9Rp5d+jz9eb7mW+n048NVSn2cBxwLtwHfrMd9e8jiXvLwpDeI5ueZyBg4p5TaL/349tUa95dqt778sPT8fTp49eBDwtUG0q7mcya8Zt+nxuBp4DhhfZ7m+vfS7/F3gzaWf65PA3UBDuX62FU98lL65dwDnDqPdVcAfelz7PXBLpXMaoN9PMogiq17y7dbXa8lTpgeVf63nW+rvZKADOKbeciXvDD2+x7WZpSfK99dbvqU+NpT+fT1DKzJrJl/gc+TdwFfpdu2zQFv3a72027b0Pdmx27WtStd2rXReA/1MS//9fwyiyKzhXFfv5dq5wF/qLdd+8vkqeTf7qOd8gR3IpwF8mgGKzFrNmZeKzH4L6HrItdTPt5JPeth4iO1qNuceeUws/U7/oN5yBc4H5va41lV4vrZc+VbldNkiRcTGwNbAWUNs10h+9+rCHp86H9g2IqYW08PqUOv5RsR+5ANkvzHI+2s6324WA0vIT469qtVcU0rPp5SW97j2GLkYWaOvdrWaL0BKqXOobWow3z2Aq1JKL3a7dj55pH6n3pv8p90zKaWbui6klO4kv8O6Rzk6WoTh/Eyp3Vz/1cvle+jn75UazbUf8+nn+Zg6yLc0tf0s4MtAbz/znmo+5yGo5VwPJb9Z+dAQ29Vyzt29lTzT5rx+7qnVXCeQZ71113W0Y39nYo4o37ovMskFJsD00pqY5RHxeER8cIB2G5B/KI/0uP4w+fs2s+B+Fu3QiFhamj/9fxGx7gD312y+EdEEfBM4LqW0eJDNajnfKK2beAVwKrCC/p8UazbXniJiU6AZ6O9/gnWT7yDVWr4b0aOvKaW/kd882Ggo7UoeHqBdLaqnXN9E/3+vNZ9rRIyLiOaI2B44ijwSkvq4vebzJU9xnwR8b5D313rOj5deOz4aEYcPcG8t57o18FhEfDciXoy8Zv6SQazbq+WcuzsAeBq4uZ97ajXXnwI7RMTBEbFKRMwEvgJcP8CbCiPKdywUma8o/fsL8jrF3cjzi8+JiD37aTe99O/zPa4v6PH5avRb4KPkedefIQ933zzAiEYt5/s54B/kNbeDVcv5Hkue0vIP4P3AnumlHZZ7U8u5/kdENADfAf5EXjfRl7rIdwhqLd/prNxXyP3tr6/DbVeL6iLXiHgzeU1qf8VIPeS6uPS4mbxO/jP93FvT+ZY2/DiZvERj2SCb1WrO/yDv3/E/wNuA2cAPI+LoftrUaq6QXy8fQt7H5ADgA8AWwK8jor/RrlrOGYCIaCb/jC/o5w0iqNFcU0qXk3+2Z5NHNB8lb576zgGajijfqjvCZCRKfwTddyhMvFRIn5NSOrX039dHxGvJxcnvBwjb85ct+rg+6nrLN6W0IqX0iW7Xbo6I24B7yU8YZwwQtqbyBdYhrwnZZYAnhr5UZb59/WxL//0z8vrTNYEjgcsiYsdBTHGpylxhwHy7fJ38hslOg3xxU+v5DlXV5tuL3voUfVwvol0tqulcI2I98nrM36aUfjbA7TWdK3m0tpm8VukE8uYaR/Zzfy3n+1VgdkppoNdOPdVczimlq8jr3btcUVqe8MWI+E4/U+FrLteSKD32SSnNB4iIf5DfONkFuK6ftrWac5e3kfe46G9WWJeayzUiZgE/JL9RfwXwcuBE8hsIuw7w+mPY+dbbSOZO5BGersd15EW8ANf3uPcP5J2l+tI1CjCtx/Wuj3ur7Edbb/muJKX0APldi837iVWr+X6D/AfzSERMi4hp5N/rxtLHfb37Vu359vmzTSn9M6U0J6V0KfmJcT55B9a+VHuuMMDvckQcSR4deH9KafYAsWo+3yGqhXy7W8DKfQWYSv997avdtAHa1aKazjUiViU/L/+NvIthf2o6V4CU0t0ppVtSSt8iT5f9SERs0MftNZtvRLyOvG7vpG7/v20ufXpqaelKb2o25178H7AqsF4fn6/lXBcA93cVmCW3AEsZ+PVyrebc5QDgzymlOQPcV6u5fhP4XUrp2JTSDSmlC8gnFOxMnm3SlxHlW1cjmcBcYMtuHy8kj/b0Jshb/PflcfKLv43I7+J02ajU7rHhd7MwveXbn/7edajVfC8A3sDKQ/4fKz3WBp7qJVa15zuon21KaXlE3A+8qp9Y1Z4r9JNvRLyLvMnEZ0tPjAOp6XyHoRby7e4ReqzliIi1gRZ6X/vRvd0OvVzfCPhNYb2rDjWba2na2WXkzW/2GsQ6+ZrNtQ93l/5dn/y32VMt57shef337b187ingJ8CHevlcLefcl75eT9Vyrg8Djb1cH+j1ci3nTGkp2R7kPS4GUqu5bkSPUdqU0qMR0U7e16EvI8u30tvqlvvBSzX0GyUAAAVsSURBVFsSn9rj+g3AtQO0varnPeT/eVbdsQAD5PF68hl6R9VbvkAr+Z2Y7o9/kovPnYHGesq3lxwmAU8Av6y3n22pjzuTd8/9zhDb1WS+3fo6nCNMaiJf8jKFfwNTul37NIM/wmT7btdaqfKt43vkMNQjTGoqV/Ib15eTz5mbOcg2NZlrP/kcXur7BvWWL7B6L/+//Uap73sAr6m3nHvJ5fzS73evZwvWcq6l5+HFdDuKqPQz/q986innUl8PYYCjPGo9V/IbCOf1uPbaUr/fXa58K574KH1zP0ke7v88eeOfH5Lfldmh2z0Hkwuxdbtd6zrg/IzSH9qpVOkB5936vBf53Yr3kY81+Ah5t6wn+O9z6eoi3z6+B0/S45zMesgXeC95A6sDS/19L3mjiXbgjfWUa6nPryVPx7iXvOap+4HJG3S7ry7yLfW7FdgPOLr0JP6l0set9ZIvebOAfwDXALsChwGLgK/0uO/PwE96XLuy9Fz2TvJUn0ep/kOwm0s/w/3II0APdvu4uc5yPbv0e3sUKx9y3lhPuXbr96fJBdbuwEml3+Xzu91TN/n28T04hB5nSdZLzsDF5I329gD2Bn5ZyvXj9ZZrqd+rkKe4305einMg8Hfgmh731U3O3fp+bx+fq4tcgU+QXxN8k/z/3feV+v0XoKVc+VY88VH8Bh9T+mYuBe4H3tnj811PlOv1uL4v8AD5wPtHgAMqncsAeW5KXt/1HHkK3T/JG8XMqMd8+/gePMnKRWbN50teU3t56WfaUcrzAuB19ZZrjzx6e/ys3vIt9flnYyFf8vqe/9/evbvYUYZxAP69RlFQ8IKIjbJoUlpsbYqAf4BWQQURVBCL5A8QxCLiNYJtYMEUAUllSkkRsFAI4oWAYqVRUDsF0QUv+FrMrCxLElid2UmOz9Odb+Yc3vfcOL/5znxzLsMBkh8yrFa5b8c+F7f3PY7dluTtDAcffs6wsMyde1X3v+x17Qrv47UV6/Xi/6XXse5j42ful7H2T5IcSXLDjudkJfq9zHOw9X20PWSuRM9JXs7wg3pz/K76OMkTO/ZZiV631b4/w4KYv2Y4H+9kkttXtecMs/N/ZLgE3qW2r0SvGf7y/FySC+Nr+12G34/3zdlvjQ8AAAAA/9mqrS4LAADAgoRMAAAAJiNkAgAAMBkhEwAAgMkImQAAAExGyAQAAGAyQiYAAACTETIB4CpRVU9X1YmqOl9Vm1XVVfXS0nUBwG5cv3QBAMA/3kxya5Kfknyf5P5lywGA3TOTCQBXj0eTrHX3HUnMYAJwTRIyAWAmVXVm/MvrkUtsOzZu29ga6+73uvubva0SAKYlZALAfJ5K8m2SN6pqfWuwqh5K8nySL5IcXag2AJiFkAkAM+nuH5M8lmRfktNVdUtV3ZXkVJLfkhzu7s0lawSAqQmZADCj7v4wyQtJDiQ5kSFg3p3kaHd/vmRtADAHq8sCwPxeS3IoyePj7Xe6e+PyuwPAtctMJgDMrLs7ybvbht5aqhYAmJuQCQAzq6oDSY5nuP7lX0k2quqmZasCgHkImQAwo6q6McnpJDdnuA7mK0keiNlMAFaUkAkA8zqeZD3J6919NsmLST5I8mxVHV60MgCYQQ2niQAAU6uqRzKci3k+ycHu/nMcvyfJZxkW4Fvv7q/G8WeSHBzvvj/Jg0kuJPl0HPuyu1/duw4AYPeETACYQVXdmyFIXpchSH69Y/vDSc4k+ShDAP29qk4mefIKD/t+dx+ap2IAmIaQCQAAwGSckwkAAMBkhEwAAAAmI2QCAAAwGSETAACAyQiZAAAATEbIBAAAYDJCJgAAAJMRMgEAAJiMkAkAAMBkhEwAAAAm8zcqxlPgPVBZmQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 1 - Press Enter to update the centers \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 2 - Press Enter to update the members of each cluster \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 2 - Press Enter to update the centers \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 3 - Press Enter to update the members of each cluster \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 3 - Press Enter to update the centers \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 4 - Press Enter to update the members of each cluster \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      "Iteration 4 - Press Enter to update the centers \n"
     ]
    },
    {
     "data": {
      "image/png": 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0JMuXMjovIg4vxlpWvkz6A/CaAFn4S/GYE4GLKp9BEdEaEUeTA3Strr2w/L0/tFpILXwbeJw8cdBNEXFEMQ6a4rFeHxHHADPIywtJUvfquQinN2/evDXyxvKF0W+ssm918h9miTxO7hlyi93MLseNIXeTTJ1uL5FbFzpvu6DLeVOpsbB8l+P2Z/ki7Ync6rCo+PeT5FaP1yxeX5y7Wadjl5Bnp5wJ3NrpmD1qnV/sP6XTYy8jj/vqXJ9v1Tivsn9yjf2TK8eU+H4eWXaZ/axHkFs0F3Z6HTqK124Br74ubgUmdTl/zWJ713Nf6XLuyTWu56nd1O3G4pgjq+y7qVPZL1Sud2Cn3r6vnY5bg9zSVzl+QXHtVn5+Edi5ynk9XY9ndSpjaVFOR/HzCUV9E7BHP9631cmBrevrPq/Lti/XOP9fdQf+s0sZnX9nzqpx/ljyFwyV4xaSP0tSUYdDa13fxXPv+hm0pPj338hLm9T6rNur03mLgH8Uz+HnXY7bCPh7p2OXFddJe5fHPqKRv3/evHkbGjdbMiWtlFJKz5O7mF1BHme3Bnkik/W7HDc/pbQ/8J7i2KfJM1SOJHfv+xl5cfqP9rMevyb/EfhHcsgYQQ6XpwFvZPlSENXOfZC8MPofyKF37aL+69Y6p0oZ/wW8DfgNeYKWseQ/LH8L7J1S+mI3p6+UUvZV8h/lXyWv3/gc+bVbQm45+gmwZ0pp15TSrC7nP0sef/dB4GrybLpjyeH1QXJr57uAb5Zc9QOAc8hdQcey/Hqv1bpVU0rpOfK4xE+Tx5kuIf9OPAL8ANgypdTdWpu1yv04+YuVO8iBKMjh+D0ppTP7Wl6Xsp8nv+4fBn5PbmmttNY9RH7Ptk8pfaMXZf0A+LeibsPIgfF24EPFc6h2zjxyUP0K8HCxeSFwGXksaM3Xq3juB7C8VbOFfK2cTB5nWnNZm5TSn8lfZt1E/jLgdeT3fe0uxz1K/sz5KHmSqxfJy6IsBe4Bfkh+/S6u9ViSVBEprTDrXEuSJNVFROxBDl9PJpfxkKRu2ZIpSZIkSSqNIVOSJEmSVBpDpiRJkiSpNIZMSZIkSVJpnPhHkiRJklSalkZXoBmsvvrqafLkyY2uhiRJkiQ1xIwZM55PKa1RRlmGTGDy5MlMnz690dWQJEmSpIaIiCfLKssxmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaUxZEqSJEmSSmPIlCRJkiSVpqXRFZAkSSu4J56A66+HW2+Fhx6CpUthwgTYZRfYeWfYay9o8U8SSVpR+IkuSZLq49Zb4ctfhmnTYNgwaG9/9f4bboDWVhgxAk44AT73ufyzJGlIs7usJEkqV3s7HHssvOMdcPPNsHDhawMm5BbNV16BF1+EU0+FjTeG224b/PpKkkplyJQkSeV5+eXcBfaii2DBgt6ft2ABPP007L03/PKX9aufJKnuDJmSJKkcS5fmkPjQQ7n1sj/a2+Hww+HPfy63bpKkQWPIlCRJ5fjWt+CBB2DRooGVs2ABHHxwbhWVJA05hkxJkjRwM2fmkDl/fjnlzZuXJwKSJA05hkxJkjRwZ5wBy5aVV96iRXDxxTB3bnllSpIGhSFTkiQNTEcH/PSnsHhxueUOGwaXXVZumZKkujNkSpKkgXn4YUip/HLnz4frriu/XElSXRkyJUnSwNx1F0TUp+w776xPuZKkujFkSpKkgXnuufK7ylbMmVOfciVJdWPIlCRJA1OvVsx6ly1JqgtDpiRJGphJk2DUqPqUvcYa9SlXklQ3hkxJkjQwO+wAS5fWp+yddqpPuZKkujFkSpKkgZk8GVpbyy937FjYd9/yy5Uk1ZUhU5IkDUwEnHACjB5dftkHHFB+mZKkujJkSpKkgTvuOBg+vLzy2trqF1wlSXVlyJQkSQO35prw/e/DmDHllLfGGvCVr5RTliRpUBkyJUlSOT7yEdhzz4GPzxwzBq68sn4z1kqS6sqQKUmSyhEBv/oV7L577u7aV8OH58l+rr0Wttuu/PpJkgaFIVOSJJVn5Ei46ir46ldz0OztOM0xY+CNb4S774ZddqlvHSVJdWXIlCRJ5Ro+HD72MTj4YEip5+MjYPx4OOss2GCD+tdPklRXhkxJklSuu++GTTaByy6Djo6ej08Jnn46j+f8whd6d44kqWkZMiVJUnmmT4ddd4WnnoIFC/p27oIF8MMfwhFH9K4FVJLUlAyZkiSpHLNnw957w7x5/S+jvR2uuAJOOaW8ekmSBpUhU5IkDVxKcOSRfW+9rKa9Hb71LbjvvoGXJUkadE0bMiOiJSK+EBGPRMSiiHgqIr7fi/NWjYgLImJORLwcEZdGxMTBqLMkSSutW27Jt8WLyylv4UI4/vhyypIkDaqWRlegGxcAbwO+CjwIvB7YohfnXQZsCnwE6ABOBa4EdqtPNSVJEt/5Tm6BLEtKeXznY4/BhhuWV64kqe6aMmRGxDuBQ4BtU0p/78N5OwP7ALunlG4utj0N3BERe6eUrq9LhSVJWpktWADXXVf+ZD0dHfCzn8FJJ5VbriSprpq1u+zRwJ/7EjAL+wKzKwETIKU0DXii2CdJksp2zz3Q2lp+uYsXww03lF+uJKmumjVkvhl4OCLOioi5EdEeEVdExKQeztuM3LW2qweKfZIkqWz33gtLl9an7Pvvr0+5kqS6adaQuTZwJLAdudvsUcAOwK8jIro5bzXgpSrb5xT7JElS2ebNq1/ILGO2WknSoGrKMZlAFLf9UkovAETEM8BNwF7An7o5t9qAkKi2PSKmAievs846A62vJEkrr5EjYfjw+pTd0qx/qkiSamnWlsw5wL2VgFm4FVhM9zPMzgHGV9k+niotnCmlqSmlmDSpp164kiSppo03zkGzHjbYoD7lSpLqpllD5gM1tgd5WZJaHqT62MtaYzUlSdJA7bBDfbq1RsBurkAmSUNNs4bMq4BtImL1TtveCowA7u7mvGuAtSNi18qGiJgCbFDskyRJZZswATbdtPxy29rggAPKL1eSVFfNGjJ/DLwA/C4i3hsRhwEXA9enlG6tHBQRj0bETys/p5RuA64FLoqIAyLifcClwK2ukSlJUh19/vMwdmy5Za6xBuy6a8/HSZKaSlOGzJTSXPIEP3OAnwNnkyf7ObjLoS1A15kGDiFPEHQ+cBEwA9i/nvWVJGmld9BBORSWpa0Nvve93GVWkjSkRErVJmNduUyZMiVNnz690dWQJGlomzEjj6Ec6PjMUaNgn33gN78pp16SpB5FxIyU0pQyymrKlkxJkjQE7bADnH46tLb2v4yRI2H99eGii8qrlyRpUBkyJUlSeY47Ds48MwfNvnZ1HTMGttoKbrsNVl21PvWTJNWdIVOSJJXrIx+B6dNh8817NxlQa2u+nXQSTJuWZ6uVJA1ZLY2ugCRJWgFtsQXcey9cfz185ztw660wYgQM7zRfX3s7rLkmHH88HHNM/rckacgzZEqSpPoYNgze8Y58W7YMHn4YZs6EpUtzd9httoHx4xtdS0lSyQyZkiSp/oYPz91nN9+80TWRJNWZYzIlSZIkSaUxZEqSJEmSSmPIlCRJkiSVxpApSZIkSSqNIVOSJEmSVBpDpiRJkiSpNIZMSZIkSVJpDJmSJEmSpNIYMiVJkiRJpTFkSpIkSZJKY8iUJEmSJJXGkClJkiRJKo0hU5IkSZJUGkOmJEmSJKk0hkxJkiRJUmkMmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaZoyZEbEkRGRqtyO6+G8VSPigoiYExEvR8SlETFxsOotSZIkSSu7lkZXoAd7AQs6/fx4D8dfBmwKfAToAE4FrgR2q0vtJEmSJEmv0uwh886U0rzeHBgROwP7ALunlG4utj0N3BERe6eUrq9jPSVJkiRJNGl32X7aF5hdCZgAKaVpwBPFPkmSJElSnTV7yHwsIpZGxEMRcWwPx24GPFhl+wPFPkmSJElSnTVryHwGOAn4MPBe4A7gvIj4ZDfnrAa8VGX7nGLfa0TE1IhIs2bNGmB1JUmSJEnQpCEzpXRtSumUlNJ1KaVrUkqHA78A/isiuqtzqrItamwnpTQ1pRSTJk0qodaSJEmSpKYMmTX8EpgATK6xfw4wvsr28VRv4ZQkSZIklWwohcyKqq2S5PGY1cZe1hqrKUmSJEkq2VAKme8HngeerLH/GmDtiNi1siEipgAbFPskSZIkSXXWlOtkRsSvgGnAPcBw4APF7YSUUkdxzKPATSmlfwdIKd0WEdcCF0XEZ4AO4FTgVtfIlCRJkqTB0ZQhE3gIOBp4PXninr8Dh6eULu50TAs5gHZ2CPB94HxyK+1VwAl1r60kSZIkCYBIqdYQx5XHlClT0vTp0xtdDUmSJElqiIiYkVKaUkZZQ2lMpiRJkiSpyRkyJUmSJEmlMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaUxZEqSJEmSSmPIlCRJkiSVxpApSZIkSSqNIVOSJEmSVBpDpiRJkiSpNIZMSZIkSVJpDJmSJEmSpNIYMiVJkiRJpTFkSpIkSZJKY8iUJEmSJJXGkClJkiRJKo0hU5IkSZJUGkOmJEmSJKk0hkxJkiRJUmkMmZIkSZKk0hgyJUmSJEmlMWRKkiRJkkpjyJQkSZIklabpQ2ZEvC4i5kVEioixPRy7akRcEBFzIuLliLg0IiYOVl0lSZIkaWXX9CET+C4wr5fHXgbsAXwEOBLYEbiyLrWSJEmSJL1GS6Mr0J2I2A14J/BNctjs7tidgX2A3VNKNxfbngbuiIi9U0rX17u+kiRJkrSya9qWzIgYDvwQ+BrwfC9O2ReYXQmYACmlacATxT5JkiRJUp01bcgEjgNGA2f38vjNgAerbH+g2CdJkiRJqrOmDJnFZD1fBz6VUlrSy9NWA16qsn1Osa/a40yNiDRr1qz+VVSSJEmS9CpNGTKBbwB3pJSu7uN5qcq2qLGdlNLUlFJMmjSpr/WTJEmSJFXRdBP/RMSWwNHAWyNifLG5rbhfNSKWpZQWVDl1DrBGle3jqd7CKUmSJEkqWTO2ZG4MjABuIwfHOSwfl/kUeTKgah6k+tjLWmM1JUmSJEkla7qWTOBWYM8u294JfB54F/B4jfOuAU6KiF1TSrcCRMQUYINinyRJkiSpzpouZKaUngdu7LwtIiYX/7wlpTSv2PYocFNK6d+L826LiGuBiyLiM0AHcCpwq2tkSpIkSdLgaMbusr3VAgzvsu0Q4CbgfOAiYAaw/yDXS5IkSZJWWpFS1YlXVypTpkxJ06dPb3Q1JEmSJKkhImJGSmlKGWUN5ZZMSZIkSVKTMWRKkiRJkkpjyJQkSZIklcaQKUmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSGDIlSZIkSaUxZEqSJEmSSmPIlCRJkiSVxpApSZIkSSqNIVOSJEmSVBpDpiRJkiSpNIZMSZIkSVJpDJmSJEmSpNIYMiVJkiRJpTFkSpIkSZJKY8iUJEmSJJXGkClJkiRJKo0hU5IkSZJUGkOmJEmSJKk0LY2ugCRJUtNasgR+9zv44x/h1lth9mxICSZMgJ13hre9Dd7/fmhra3RNJalpREqp0XVouClTpqTp06c3uhqSJKlZLFkC3/kOnHYaLFsGr7xS/bixY3PoPOYYOOUUGDNmcOspSSWJiBkppSlllGV3WUmSpM7uvx+22gq++U146aXaARNg3jyYPx/OOw822ii3dkrSSs6QKUmSVDFtWu4G+8gj0N7e+/MWLoR//hP22Sd3r5WklZghU5IkCeDJJ+Htb88tl/0dTtTeDoccAnfeWW7dJGkIMWRKkiSlBIcemru+DlR7Oxx0UG7dlKSVUFOGzIg4MCL+GhEvRMTCiHgoIv4rIkb2cN6qEXFBRMyJiJcj4tKImDhY9ZYkSUPU5ZfDPffkSX7K8NxzcPrp5ZQlSUNMU4ZMYG8Crl4AACAASURBVCJwA/ARYF/gfODLQE+f1pcBexTnHQnsCFxZr0pKkqQVxDe/WU4rZkV7O3z/++WFVkkaQppyncyU0o+6bLohIlYBPhYRn0hV1l2JiJ2BfYDdU0o3F9ueBu6IiL1TStfXveKSJGnoefRRePjh8stdtAhuvDGvpSlJK5Fmbcms5gWgu+6y+wKzKwETIKU0DXii2CdJkvRad9wBLXX43n3hQrjttvLLlaQm15QtmRURMRwYBWwPnACcW60Vs7AZ8GCV7Q8U+yRJkl7rzjvzepdlW7LEdTMlrZSaOmQC88khE+Ai4LPdHLsa8FKV7XOADUqulyRJWlHMnt3/JUt68vzz9SlXkppYs3eXfQuwG/BpYD/grB6Or/Y/RNTYTkRMjYg0a9asAVVSkiQNYSNG1K/senTDlaQm19QhM6V0V0rp1pTS6eTussdHxIY1Dp8DjK+yfTzVWzhJKU1NKcWkSZPKqbAkSRp6NtusfkFz443rU64kNbGmDpld3FXcv6HG/gepPvay1lhNSZIkmDIFWlvLL7etDXbbrfxyJanJDaWQuUtx/0SN/dcAa0fErpUNETGFPB7zmjrXTZIkDVU77QSLF5dfbkeHy5dIWik1ZciMiD9ExGciYt+IeEdEfBX4HnBZSumx4phHI+KnlXNSSrcB1wIXRcQBEfE+4FLgVtfIlCRJNa2yChx8MAwfXm65228PG9Ya5SNJK66mDJnAncCRwOXAL4D3Al8EPtzpmBag6/8GhwA3AeeTZ6OdAexf57pKkqSh7stfhpHdLcfdR21t8I1vlFeeJA0hUXvZyZXHlClT0vTp0xtdDUmS1Ejf+AZ885vQ3j6wckaPhkMOgQsuKKdekjQIImJGSmlKGWU1a0umJEnS4Pr85+HNbx7YJEAjR8LkyXDmmaVVS5KGGhdvkiQ1j44OePJJmDt3+R/r9Zj1s1ksXgxPPAELF+bulW94g+sq1sNLL8HTT+fra+JEWGcdiHjtcS0tcPXV8N73wm23wfz5fXuctjbYYAO46SYYN66cuqs5LVsGM2fma2TkyPy7O2pUo2slNQ1bMiVJjTV/Pvz3f8MOO+Q/0rfeGt761tyitMoq+Y+3z342h88VwezZ8PWvwyabwNixefmMt741TxIzZgxstRV8//s5GKn/7roLPvxhWHttWHNN2Hln2HXXPBHPqqvC3nvDb3+bw0Jno0fDtdfmbrNtbb0LDi0t+cuQE0+EGTNgwoT6PCc11ty5cNZZsO22+Xd1223zEjU77pi/VNhoIzjpJJg1q9E1lRrOMZk4JlOSGiIl+PGP4dOfzq1K8+bVPnbkSBg2DA44AM45J4eEoWbhQvjiF+G885b/XEtbW251+/KX4QtfsHWzLx5/HA47DO69N7/GHR21jx03LoeFSy6pvtTIU0/lUHHeecvDaOV9GzUqX5PLluUw+6lP5S8OtOJZtix/8fOVr+T3vLsW7tGj82fbUUfBaafl60saIsock2nIxJApSYPu5Zdzl8S77upbl8RRo3Lr3+9/n1s6h4qHH4a3vx2ef75vk8qMGZO7DF93HUyaVLfqrTAuvhiOOw4WLXptC2V3Wlvh8MPh7LOrL2OybFl+D6dPh2eeySFijTVy6/OWW8KIEeU9BzWX556DffbJ739fPqtaW2H8+Py7u9VW9aufVCJDZskMmZI0iObOzV0XH3ssh4H+GDMGrr8edtqp3LrVw8MP50D88ss5nPRVS0sONDNm5LGEqu4nP8ndVRcs6N/5bW3w7nfDz3+eW6uk557LXWFnzYIlS/p+fkRuLb/11jwMQGpyzi4rSRqaUspLOwwkYEJuUXjnO/Mfgc2svT13w+xvwARYujQ/z3e+s2+tcyuT228fWMCE/F79/vfw7W+XVy8NXR0dubdFfwMm5N/5uXPzZ8Arr5RbP6nJGTIlSYPn8svh5psHFjArFizI456a2ec+By+80P+AWbF0aQ7mp51WTr1WJAsWwEEHDSxgVrS3wymnwAMPDLwsDW3nngv33df/gNnZK6/AJz4x8HKkIcTusthdVpIGxbJleVzhs8+WV2ZbW14uYkopvXvK9dRTsPHG3U/w01dtbXl22rFjyytzqDvnnDz7cF/GunYnIrcaX311OeVp6Fm4MM9IXGbr4+jRObRuuGF5ZUols7usJGnoufbaclqbOlu4EE4/vdwyy3LOOQNvwewqAi69tNwyh7KU4LvfLS9gVsr8859dhmJl9stflv+7u2wZnHlmuWVKTcyQKUkaHBdfXP64pI4OuPLK8v8gLMMll5TTLbiz+fPh/PPLLXMoe+SRclvGK4YNy2toauV0wQXdL6nUH0uWwP/+b7llSk3MkClJGhy3316fciPyeMVmMn9+XuqiHu6/vzlD9WB64YV8P3169SVHBmrBArjllvLL1dDwt7/Vp9yXX15+7UorOEOmJKn+UoJ//KM+Zbe0wN//Xp+y++vhh/P4yXpYtqw+rXdDxdSpsM02+TW+//76zdp59931KVfN7ZVX6ndNtbbCgw/Wp2ypyRgyJUn119FRv+U3Uip3cp0yLFyYW1jrYfjw5nu+g2XqVPjqV/N4yT33rN8XF7DyvsYru4UL8xdX9VL2uHSpSRkyJUn1N3x4fbo1Qg5zra31Kbu/Wlvr16V16dLme76DoRIwK2bNgl//un6PN3p0/cpW82ptzb9j9SxfWgkYMiVJg2O99epT7tKlsMUW9Sm7vzbZpNwZTztraYE11qhP2c3qhRfgJz957fZ58+rXYvzGN9anXDW3sWNhlVXqU/aCBbD55vUpW2oyhkxJ0uDYaaf6lJsSbLBBfcrur7a2vCZoPWy9df2CVbOaOBFuuKH6a1qPFuO2Nth11/LL1dBQry8YVl0VJkyoT9lSkzFkSpIGx+GH51aCMg0fDgcc0Jyh6/DDYdSocsscOxaOPrrcMoeKTTapHTTLtmwZ7Ldf/R9Hzemoo2DcuHLLHDECPvjBcsuUmpghU5I0ON7xjvJD5qhR8KlPlVtmWY4/vvzw29EBhx1WbplDyWAEzWHDYO+9Ye216/cYam4HHlh+mcOHwyc+UX65UpMyZEqSBsewYXDWWeUt7TFyJLztbbD99uWUV7ZJk+CYY8qb6GPMmDzxzZgx5ZQ3VNU7aI4eDd/7Xn3K1tAwahScemp5v2ujR+cvh5qtW79UR4ZMSdLgef/7Ya+9yulG2tYG558/8HLq6dRTYfXVB96i2dKSw9UnP1lOvYa6egXNtjb4yldg003LLVdDz3HH5fVYR4wYWDkReSzmGWeUUy9piDBkSpIG189+BhtvPLCgOWYMXHttDnDNrLUV/vQnGD8+t+T2x4gRsNZacPXV9VsGZigqO2i2tcG//Rt89rPllKehLQJ+9ztYd93+B82IPFPtn/5U/lABqckZMiVJg2vcOPjLX/Jss33tjjZ6dA6WN94Ib3pTXapXuo03hmnT4PWv73tX4TFjYLPNYPp0xwhWU1bQbG3NEypdemn/vwzQimfixPy7u802ff+sam3N1+Vf/wpbblmf+klNzE9SSdLgW2WVHA7OOCN/w9/Tt/yjRuXbwQfDY4/BlCmDU8+ybLQRPPQQ/Md/5K6vPXWfHTYsjzn90pfgb38zYHZnk03gxz/u37njxuUgcPXV8MMfGjD1WquvnoPmKafkL4l6CpujR+fb0UfDI4803xq+0iCJVI/1pYaYKVOmpOnTpze6GpK0clqwAH7xCzjnHLj33rytpSWvf7hoEay3Hhx0EHz0o7k1cKi66678PP75T2hv7/n4trYcoH7xi9waquoefhj23BNmzer+uDFjcohcvDi3Mr35zXDiibDPPoZL9c68eXDJJflLjb//PXdfHz48z/q8eDG84Q15mZJjj81d3KUhJiJmpJRK+RbXkIkhU5KaRkrwj3/AK6/klrz11it/rclGuPDCHJIXLOjbecOG5VaRyy+Hd72rLlUb0nobMAHWXBMuuAB22MEAoIHr6ID/+z+YPz9/Rq2//sAnCZIazJBZMkOmJKluLr00L2XS14DZWWsr/Pa3ef1GZX0JmBWTJuVu2ptsUr96SdIQVWbItH+IJEn18thjeRzmQAIm5PMPPBCef76ceg113QXMSZPgqquqTwY0a1Y+7+GH619HSVqJGTIlSaqHlODQQ2HhwnLKW7AgB9aVXU8B84Yb4N3vrj3rrEFTkuquKUNmRBwUEb+NiKcjYl5EzIiIQ3tx3qoRcUFEzImIlyPi0oiYOBh1liTpVaZNy5ODdHSUU97ixXDNNTBzZjnlDUW9CZiVrrDdLW9i0JSkumrKkAl8CpgHfBL4N+AG4GcR8YkezrsM2AP4CHAksCNwZd1qKUlSLd/73sC7yXbV0QFnn11umUNFXwJmhUFTkhqiKSf+iYjVU0rPd9n2M2DnlNIbapyzM/BXYPeU0s3FtjcBdwBvTyldX+vxnPhHklS6CRNgzpzyy910U3jwwfLLbWYvvADbbNO3gNlZTwH1nntgoh2fJK3cVviJf7oGzMLfgDW7OW1fYHYlYBblTAOeKPZJkjQ4Zs/u3VqY/fH447BkSX3KblYTJ8JRR712e29ni+2uRfOYYwyYklSypgyZNbwF+Hs3+zcDqn21+0CxT5KkwfHkk3l9y3oYMSKH2JXBo4/CiSfCRhvBqae+eh3CiLz98cd7N+61WtA8+WSYOrX0akvSym5IhMyIeBuwH9DdQJTVgJeqbJ9T7KtW7tSISLP6ssaWJEk9WbasfmVHlDeZULOaPRve8x7Yems499y8FMzSpa9uwU0Jbr4ZDj4Y1lsvB8iedA6aBkxJqpumD5kRMRn4GfCblNKFPRxebYBp1NhOSmlqSikmVes+I0lSf02YUL+guXgxjB9fn7KbwR/+kMPgddfl5V966hr8yivw9NM5lB5/fM+v+yab5DGYBkxJqpumDpkRMQG4Bvg/4EM9HD4HqPa/7niqt3BKklQfG21Uv3GTEybAKqvUp+xG+81v4IADYO7cvr9+7e1w0UW5ZbOnll7HYEpSXTVtyIyINuAqYCTw7pTS/B5OeZDqYy9rjdWUJKk+hg+HLbesT9k77VSfchvtgQfg0EMHtuxLe3tuCbWVUpIaqilDZkS0AJcDGwP7ppSe7cVp1wBrR8SuncqZAmxQ7JMkafCccAKMHVtumWPHwsc/Xm6ZzWDZstwCuXDhwMtqb4fTTstdYiVJDdGUIRM4B3gX8HVgQkTs1Ok2CiAiHo2In1ZOSCndBlwLXBQRB0TE+4BLgVu7WyNTkqS6OPhgGFbyf7OrrQZ77VVumc3gl7+EmTPzZD5lWLgwh3xJUkM0a8h8R3F/BnBbl9s6xb4WYHiX8w4BbgLOBy4CZgD717uykiS9Rmsr/OhH0NZWXnkXX1x+cG0Gp54K8+aVV15KcMcdObhKkgZdU/5PlVKanFKKGreZnY45sst5L6WUjkopjU8prZJSOiyl9HwjnoMkSXzgA/D2t+eAOBBtbfDv/w67715OvZrJ7Nnw9+6Wwe6nlOBXvyq/XElSj5oyZEqStEKIgJ//HHbcsf9Bs60N3vUu+MEPyq1bs5gxA0aPLr/cRYvgxhvLL1eS1CNDpiRJ9TR6NPzxj3D00X0LmhH5+M99Di67LM9YuyK6//48WU893HdffcqVJHXLkClJUr2NHAlnnZXD5pQpOTyOGFH92FGjcjDdffc8rvDkk1fMcZgVCxbUb03RgSyHIknqt5ZGV0CSpJXGLrvAnXfmNSF//Wu46aY8HnHx4hw8t9oK9tgDDjwQJk9udG0Hx+jR0NICS5eWX/aoUeWXKUnqkSFTkqTBtvnm+falLzW6Jo232WZ53OncueWXvcUW5ZcpSerRCtz/RpIkNb0ddsgtuWUbOXLFnI1XkoYAQ6YkSWqc170ONtig/HKHD4f9XSpbkhrBkClJkhrr85+HMWPKLXObbWDTTcstU5LUK4ZMSZLUWIccAmuvXV55ra1wxhnllSdJ6hNDpiRJaqyRI+EXv+jbOqK1tLbCscfCm9888LIkSf1iyJQkSY23/fZw7rkDC5qtrfCWt8B3vlNevSRJfWbIlCRJzeGII+D88/OSJsOH9+3ctjZ497vh6qthxIj61E+S1CuGTEmS1DwOOQTuvx923DEHx2E9/KkybhysthpccglcfnnueitJaihDpiRJai6TJ8Ntt8HNN+fQufrqOTyusgqsumoOn6NH53GXP/oRPPOMy5VIUhNpaXQFJEmSqtphB7j00vzv55+H//s/6OjILZdveEPPrZySpIYwZEqSpOa3+ur5Jklqen4FKEmSJEkqjSFTkiRJklQaQ6YkSZIkqTSGTEmSJElSaQyZkiRJkqTSOLusJElasS1dCi++mJc/WXVVaG0dnMddvBjmzIGU8rIro0YNzuM2Sns7vPwyDB8OEyfme0krJVsyJUnSimfmTPjc52CLLaCtDdZfP6+tucoqsN568KEPwe235wBYpgcegI99DDbeGMaOhcmT8+OOHQsbbgjHHgv33lvuYzZKSnDTTfCBD8C66+YAv+GG+fUdMwa23hpOOgmefrrRNZU0yCKV/eE6BE2ZMiVNnz690dWQJEkD9eyzcMwxcN11ueVy8eLqxw0blls011sPLrkEtt9+YI87cyYcfjhMnw5LluTW02paWmDkSNhmG7j4Ythoo4E9bqP85S/5+T77LMyfXzusjxoFEbD//nD22blFV1JTiogZKaUpZZRlS6YkSVoxXH11bkH8wx9g4cLaARNyAJ0/P7c87rorTJ3a/1bN//kf2HJL+OtfYcGC2gET8r72dpg2LQfN887r32M2SkcHfOpT8Pa3w+OPw7x53b9uixbl9+KKK3Ir5803D15dJTWMIVOSJA19v/oVHHggzJ3bfbisZsEC+O534eMf73vQPOss+OhHc3Bctqz353V05Mf99Kfh1FP79piN0tEBH/wg/OhHue59sWhRHp+6775w/fX1qZ+kpmHIlCRJ9bN4MVx2GRxySB6b2Nqau4uuthrssgt85Su5RWwg7r03d93sa/DprL0dLrywby2Lf/oTfP7z+dyBPO7Xvga/+13/yxgs3/wm/Pa3A3++73vfwN9zSU3NMZk4JlOSpNItWwannZaDSUdH7lZZzYgReRbSN78ZfvKT3N21L5Ysga22gkceKWcSnzFj4L778oQ93Xnlldz987nnBv6YkEP3Y48175jF++6DN71pYEG+YvjwPAb29tvz2FhJTWGFH5MZERtFxI8i4u6IWBYRN/byvFUj4oKImBMRL0fEpRExsc7VlSRJnT3+OGy3XW6hmzu3dsCEHBIXLoRbboFtt4UzzuhbWLz00jx7aVlfmi9cCJ/9bM/HnX56DpplaW/PgbxZnXBCfm3KsGxZHgs7FFpvJfVLU7ZkRsR+wFnA7cBWwOyU0h69OO8PwKbAZ4AO4NTi3N26O8+WTEmSSvLQQ7Dzznm9xI6Ovp/f1gbHH5/HSEb0fPzmm8ODD/b9cbozejT84x+w+urV9y9dCmutldfeLNO4cblltNnW05w5M7/OZYXMip13zpMlSWoKK3xLJvC7lNLrU0oHAff35oSI2BnYBzgipfSrlNKvgQ8Bu0bE3nWsqyRJK5e774Zvfxve+c68BMcb3pBnSj38cNhxR3jppf4FTMgteueem5e76MkTT8CTT/bvcbozfDj85je19992W/czyPZXBNxwQ/nlDtTll5e/nijAjBnlB3VJTaEpQ2ZKqT//M+1LbrX819zYKaVpwBPFPkmSNBDXXANbbw1veUuesOfaa/M4wpkz8+Q7F1+cu5AONJC0t+cJdXqaHGb69Dyms2zz5+d1ILt73EWLyn/cBQvgzjvLL3egbrqpPs939Gi4667yy5XUcE0ZMvtpM6Baf5kHin2SJKk/5s6FD3wgLxFy3305BC5ZUt/HXLQoLw3SnXvuKXdcZGfdDaOZNq0+oWvJErjjjvLLHah77qlPuYsW5etJ0gqnpdEVKNFqwEtVts8BNhjkukiStGJ48cXccjlzZn2CVS3LlsGNN8JTT8G661Y/Zu7c+nTjhO6X6ahXsK132f1V9ljMiiVLcquxpBXOitSSCVDtf5qosZ2ImBoRadasWfWtlSRJQ9GSJbDnnnns42AGzM5+9rPa+9ra6ve43U2+09pav8cdPbp+ZffXyJH1KXf48Oab5EhSKVakkDkHGF9l+3iqt3CSUpqaUopJkybVtWKSJA1J3/gGPPooLF7cmMdftAj+/Ofa+7fYAsaOrc9jb7117X1vfGN9xoIOGwY77FB+uQO1ySb1Kbe1FTZzRJO0IlqRQuaDVB97WWuspiRJquXJJ+E73+m+2+hguPvu2vt22KE+3WVHj4bduln9bMqU+rRmjh0Lb3pT+eUO1O67Q0sdRlgtWtScoVrSgK1IIfMaYO2I2LWyISKmkMdjXtOwWkmSNBSddVYeF9lo3Y3Z23xzWHXV+jzue95Te99uu9XntVmyBPbaq/xyB+qAA+rTcvuGN8A665RfrqSGa8qQGRFtEXFgRBwIvA5Yo/JzRLQVxzwaET+tnJNSug24FrgoIg6IiPcBlwK3ppSub8TzkCRpSEoJfvzjxnWT7ay7FrQI+PSnyx+b+Za3wPrr197f2gpHH11u8Bo+HA45BFZZpbwyy7L11uV3mR0zBr7whXLLlNQ0mjJkAmsClxe3nYAtOv28ZnFMCzC8y3mHADcB5wMXATOA/QehvpIkrThmzoSlSxtdi2y99brf/x//Ue64zNZWOO20no/74hfLnbRm9Gg4+eTyyivbD35QbphfY40cqiWtkJoyZKaUZqaUosZtZnHM5JTSkV3OeymldFRKaXxKaZWU0mEppecb8RwkSRqy/va3+ozB66sI2HXX7o8ZOxb+93/LCUBtbXDiiXlin56ssw6cfXZukRuoMWPgu9/tvvW00fbYAw47rJyxqK2tcPnlziwrrcCaMmRKkqQGevHF5mjJHDMG9tuv5+P22gu+8pWBBc3WVthlF/j613t/zoc/DEccMbDHbWuDAw+E447rfxmD5Yc/hG22GdgyK21tcMYZefIkSSssQ6YkSXq1YcNyK2KjjRsHb3tb7479/OfzkiutrX2ve1tbnujnqqv61oIbkSdI+sQn+tfC19aWx3aef35zvN49GT06Lymz++59b8EdNiy/RmefDcccU5/6SWoavQ6ZEfHGiPhkRHwiIjbt5rj9IuL8cqonSZIG3etf3/jusmPG5NA4rA/fh//nf8Ltt+dJanozTnPs2Dw77UUXwS9+ASNH9r2eEfDtb8N118HrXpeDcU/GjYO11oLf/S63DvblOTZaWxtcc00Oi+PG9Rw2I/LrvM02eTmaI48clGpKaqxefapFxGnAdOA04AfA/RFxZkRUm1ZtO+CI8qooSZIG1fbbw4IFjXv8ESNyd8r+BJJttoEHHoArr4R99skhqLU1h8lVV83BaMQI2Hbb3Ar5zDPw/vcPvM677ponTLr44rzEyejR+bErjzt2bB6DuPPOcMEF8I9/NOdyJb0RkbsJz5oFp58OW26ZX9Nx45Y/39bW/PN735tD6V13wcYbN7rmkgZJpB4WMY6I/YFfAXOBy4AlwPvJs7zeDLw7pdTe6fiTga+klLrO/Nq0pkyZkqZPn97oakiS1Dw23BAef3zwH7elJbfyzZiR7wcqJXjySXjqqby25cSJsNlm9W+p7eiARx+F2bNzHdZaK4esodRq2ReLF8ODD8KcOXk5lvXXh3XXHRrdgCUBEBEzUkqlDJjuzSfs8cBC4M0ppYeKCnwR+ClwIHBVRLwrpbSwjApJkqQm8JnPwGc/C/PnD95jtrbmWVtvvrmcgAk55EyenG+Dadiw3G237PUlm9XIkbkVWZLoXXfZ7YErKgETIKX0SkrpYHLX2T2A30WE81BLkrSi+PCHB2+JiREjcsA89li4//48tlGSNGT1JmSOBZ6stiOl9Cnge8DbgCsjoh8j5iVJUtMZOzaPLyxj/cmKVVbJ4xTb2vK/29ryz8cemyeF+f73B7Y8hiSpKfSmu+wzwNq1dqaUPhsRLcCJ5LGb95RUN0mS1EjvehccdVSeqKa9vefjaxk3Ls++umhRnhxn6dI8Ocx22+Wxn47bk6QVSm9C5gPA7t0dkFL6ZNGKeTywZxkVkyRJTeDMM/OEORdd1Peg2dKSWyqvvz7PFgt5jUVJ0gqtN91lrwE2iIjdujsopfQx8mRAJfarkSRJDTVsGJx7Llx4Ye7i2tvurGPG5GU9/v735QFTkrRS6E1L5q+AScDEng5MKR0TEU8BkwdYL0mS1EwOOgj23BPOOSe3bi5alJfmqMw+29KSx1guWgRvehN84Quw7752hZWklVCP62T2q9CIlpTS0tILrhPXyZQkqQ+WLYMHHoDp0+Gxx3KwnDABtt02t1qusUajayhJ6qPBXiez8wP/GDihuzUxI2Iy8HNgpwHVTJIkNafhw2GrrfJNkqQuejMms7OPANMiYrNqOyPiQOBvwI4DrZgkSZIkaejpa8j8BrAFMD0ijqpsjIiREXEOcBmwDNi/vCpKkiRJkoaKPoXMlNJJwD7AK8B/R8TFETEFmAYcB/wV2C6l9NvSaypJkiRJanp9bckkpfQnYFvgeuAw4A5gS+AUYPeU0lOl1lCSJEmSNGT0aeKfTuYBzwGVeclfBm5OKXWUUitJkiRJ0pDU55bMiNgWuAs4FLiW3E12JPCHiPhGRPS5TEmSJEnSiqFPgTAiPgbcBmwAfCmltG9K6cfADsA9wBeAWyJivdJrKkmSJElqen1tdfwh8Cx57OWplY0ppUfI62KeA+xMXsZEkiRJkrSS6euYzN8AR6eU5nTdkVJaDHwiIv70/9m78/A4y3Lx49+7TdomLbQFRKwLCLKLIAShyFbEBVAQBBEURI+IepSfoCgoQgERDqIHweOCiMpRWRSOIsgi+760gKwFQUCwKFJaaJvuZjPJ1wAAIABJREFUfX5/PBMJaZZJ5p3Oku/nuuYqeed97jx3mwxzz7MBPy2ic5JUD+6/H265BW6+GZ59FiLgjW+E7beHHXeETTetdQ8lqUaWL4fbboM778wvki+8ACNHwoYbwnbbwS67wJuc4CYNN5FSKj5oxBtTSs8UHrhKOjo60rRp02rdDUl1JCW46CI44QR4+un89YIFr76nvT3/ud56cPzxsM8+uQCVpKa3ZAn8z//AaafBvHmweDEsWvTqe8aNg6VLYfJkOOkkeOc7a9NXSWWJiOkppY5CYlWjyGw0FpmSuvv73+GjH4Vp02D+/PLajB2bP7Q/7zxYa63q9k+Saur++2HfffOLZWdneW3a2uCgg+C7380vmJLqTpFFpjvBSlI3M2bA294Gt95afoEJ+d4bbshtH3+8at2TpNq6+uo8Mvn44+UXmJCngpx3Hmy7LcyZU73+SaoLFpmSVDJzZl5nOXt2nuE1WEuW5OVI220Hzz9ffP8kqabuugv23jsXl0OZCbdwITz2GEyZkl8wJTUti0xJIr9f+uhH4aWXhvbeqXucOXPgkEMqiyNJdWXBgrzwfDCjl71ZvDgXmieeWEy/JNWlui0yI2KTiLg2IjojYmZEnBgRI8toNz4ifhYRsyPipYj4VUSsvjL6LKlx/fa3cPfdQxvB7GnJErjpJrjssspjSVJdmDoVXnyxmFidnfCd78Bf/lJMPEl1py6LzIiYCFwDJGAv4ETgS8AJZTS/ENgZ+BRwCLA18Ltq9FNS8zjxxMGtwRzI/Pl5M0VJangLF8IPfrDiFtuVWLIkbwIkqSnVZZEJfAZoA/ZJKf0ppfQjcoF5ZESs2lejiJgMvBf4eErp4pTS/wEfA7aPiF1XRsclNZ6HHoK//rX4uA8+CE88UXxcSVqpfve74s9nWro0bwTk2kypKdVrkbkbcFVK6eVu1y4gF547DdDunymlm7oupJTuAp4sPSdJK7j11urEHTmyerElaaW59lqYO7f4uCNH5k/5JDWdei0yNwJmdL+QUvob0Fl6rux2JY8M0E7SMHbLLZXvZdGbefPgttuKjytJK1W1Pi1bvhymT69ObEk1Va9F5kSgt0OUZpeeK7qdpGHs2WcbM7YkrRSzZlUn7sKFnvckNal6LTIhb/rTU/RxfUjtImJqRKSZM2cOoXuSmsWIKr4SFr2MSZKaii+SUlOq1yJzNjChl+vj6X2kcqB2E3prl1KamlKKSZMmDamTkprD2mtXJ25E9WJL0krz2tdWJ25bG6y1VnViS6qpei0yZ9BjDWVEvBEYS+9rLvtsV9LXWk1JYrvtYOzY4uOOGweTJxcfV5JWqne+szpxI2CrraoTW1JN1WuReQXw3ohYpdu1/YEFwI0DtFsrIrbvuhARHcC6peckaQU77pj3nyjakiWw/fYD3ydJde3d74ZVVhn4vqHYeOPqxJVUU/VaZP4IWARcEhG7RsSnganAd7sfaxIRj0fET7u+TindDlwFnBcR+0TEB4FfAbeklK5ZqRlIahjrrw+bblp83K23drqspCbw/vcXv3h91Cg49FBoaSk2rqS6UJdFZkppNvAuYCTwB+AE4L+B43vc2lK6p7uPkEc7zwXOA6YDe1ezv5Ia39SpxU6ZbW+H444rLp4k1cyoUfClL+UXtqK0tMDhhxcXT1JdiZQG2qy1+XV0dKRp06bVuhuSamzPPeGqq2Dx4srijB4Ne+0FF15YTL8kqeYWL85TPh5/vPJYY8fC8cfDUUdVHktSYSJiekqpo4hYdTmSKUm1cO65sPrqlc0KGzkS1lwTfvSj4volSTU3ahRcckne0awSY8bAllvCkUcW0y9JdckiUyvF0qXgoLnq3RprwO235936R48efPvRo2HSJLjtNpg4sfj+SVJNbbYZXH113gRoZM/VSmVob88F5hVXDK29pIZhkanCpQQ33wyf/CRssAG0tubHyJHw+tfnaYQXXFD5lESpGtZeGx58EPbYY3BrNNvbYe+94f774Q1vqF7/JKmmJk+Ge++FLbYo/0VyxIh8JuYRR8D111fnzChJdcU1mbgms0jXXQef+hQ8/zx0dvY9ernKKvn/OSeeCJ//fPGb1klFuPpq+OY34e678wcl8+a98jMdkWeNLVkC224L3/gG7LJLbfsrSSvN8uXwq1/BKafA00/nF8X58195fuTIXEwuXpwXvB97bB4JlVS3ilyTaZGJRWYRliyBz34Wfv1rWLCg/HZjx+Yjsn7/+zzNUKpHf/tbngJ7xx35vyPgTW/KxeU73+nIpaRh7uGH8wvknXfmT5lbWmDDDeEd78iHBa+2Wq17KKkMFpkFs8iszOLFsPvu+U34YArMLi0t8JrXwF13+WZdkiRJqgV3l1Vd+cxnhl5gQt4U6PnnYeedYdGiQrsmSZIkaSWzyFRF/vSnfBbgUAvMLsuWwXPP5XVtkiRJkhqXRaaGLKW8yU9nZzHxOjvhrLPgmWeKiSdJkiRp5bPI1JDdcAO8+GKxMVOCH/yg2JiSJEmSVh6LTA3ZOefkIx2KtGgRnHtusTElSZIkrTwWmRqy226rTtw5c2DWrOrEliRJklRdFpkakqVLq7d2sq0NHnigOrElSZIkVZdFpoZk4cJ8IH21zJ1bvdiSJEmSqqel1h1QY2ptheXLqxtf6mn2bLjjDrj7bnjyybxR1OteB1tvDdtuC5Mm1bqHxXr22ZzvtGnwj3/kD3bWW++VfMePr3UPJUmSVmSRqSEZPRomTqzO2sklS2D99YuPq8Z1331w8slw2WUwalQ+7mbp0vzciBEwbhwsXgzbbANf/zq8+9217W8lUoIrr8z5Tp+e8507N18HaGmB9vac7wc/CF/7Gmy2WW37LEmS1J3TZTVkW2xRnbgpwbrrVie2GsvChfClL8F228Ell+SvX375lQIT8oj6yy/n5268EfbeOxdfL7xQu34P1fPPwx57wH77wa23vpJvV4EJOfeufC+6KBfWxxyTi05JkqR6YJGpITvggDyCVKQIeO97q7veU41hzpw8JfSHP4QFC8qfnj1/fh4J3HRTePzx6vaxSDNmwCabwDXX5BzKsXx5/rs580x45ztdyyxJkuqDRaaG7IADil+X2d4ORx1VbEw1nkWLYMoUeOSRXEQNpf0LL+QR0OeeK75/RXvmmVwkvvhini4+WJ2deUfmXXcdWntJkqQiWWRqyNrb4eij859FaGmBzTeHyZOLiafG9fWvw6OPVjYFdPnyvFHQgQe+erppvUkJ9t8fXnqpsn4uWgQPPggnnVRc3yRJkobCIlMVOeYYeNOb8uYrlRo9Gs4/36myw93998MPfjC0Ecyeli7NO9FecEHlsarl3HNzzsuWVR6rsxNOPz1PvZUkSaoVi0xVpKUF/vhHmDChskKzrS0XmG96U3F9U2M65ZQ8KleU+fPhuOPqczQzJTjxxPLXYJZj8WI47bTi4kmSJA2WRaYq9uY3w513wlpr5WJxMEaOhLFj4cIL4QMfqE7/1Dheegl+97vi1/o+91w+a7Le3HprXodZpGXL8shtkYWrJEnSYFhkqhBveQs89hgcdFAuNFtb+78/IheXHR15HZkFpgDuuiufC1m0JUvghhuKj1up667LR5EUrbUV7rmn+LiSJEnlsMhUYcaOhR//GP78ZzjsMFh1VRgzBsaPz/+96qr5yJPRo2G33eDyy+H222GddWrdc9WLadOKWYvZ0+LF+QzNenPjja8+87MoixbB9OnFx5UkSSpHS607oOaz/vpw1ln57L6//z0frTBvXh6h2mCD/Bg5sta9VD168snqHcHxzDPViVuJZ5+tTtxFi+Dpp6sTW5IkaSAWmaqaCHjDG/JDKkc1N+epx41/qqnoda2SJEnlcrqspLoxaVL1RrnXXLM6cSuxxhrVidvaCq97XXViS5IkDcQiU1Ld6OjIa3uL1tICO+5YfNxK7bBDMWfM9tTWBlttVXxcSZKkctRlkRkRn4uIyyNiVkSkiNh5EG33iogHImJhRDwcEftXsauSCrTNNsWekdllzBjYfvvi41Zqp52qU1QvWpQLdkmSpFqoyyITOBhYDbhqMI0iYnvgYuB6YDfgcuD8iHhP4T2UVLg118yje0UbNw523rn4uJV697uLP7IlAt77Xpg4sdi4kiRJ5arXInO7lNJk4FuDbPcN4KaU0uEppetTSkcBVwLHFd5DSVXx9a9De3tx8drb4Stfqc601Eq1tMCRRxabb1sbHHNMcfEkSZIGqw7fdkFKadD7IkbEaGAKcFGPpy4AJkfE+CL6Jqm6dt4Z3v/+fJ5qpSLyOaxf+ELlsarly18ubpOeMWPgwx+GbbctJp4kSdJQ1GWROUTrAa3AjB7XHyHnucFK75GkIfnxj2H11SsffRw7Fn7zmzxiWK9GjYKLL658bebIkXm68ZlnFtMvSZKkoWqmIrNrBdKcHtdn93j+3yJiakSkmTNnVrVjkgZnwgS49dZcNLW2Dr59RF6HeeWVsMkmxfevaJtvDpddlgvNiMG3HzUqj4beeiusskrx/ZMkSRqMmhaZkbV0exRxQl7PI9ejj+uklKamlGLSpEkFfFtJRVpnHfjzn2GXXQY3ytfeDhtvDHfdBe98Z9W6V7idd4bbb4f11x/cGs329rzRz733whveULXuSZIkla3WI5k7AUu6Pa6tIFbXiOWEHte7vu45wimpzq25JlxxBZx3Hmy6aS6oelur2dqaRy5f9zo45ZRcnG688crvb6U22wwefBBOPBFe+9o8KtnbVN8xY/LfxdveBuefD5deCmussfL7K0mS1Jtar1SaDmzd7eu5FcR6glyobgTc2O36RsBy4LEKYkuqkQjYZ5/8+POf4YYb4Kab4KmnIKVciO64Yx613GGH+txFdjBaW+FLX4IjjoAbb4Tbbsv5Pv98Xne5zjo53ylTclEqSZJUbyKlFWaR1o2IeCvwADAlpXRDGfdfBYxMKe3a7dplwISUUp9HsXd0dKRp06YV0GNJkiRJajwRMT2l1FFErFqPZPYqIjqAdYA3li7tFBFrAE+llKaV7jkYOBdYL6X0dOm+k4AbIuIM4HfA7qXH+1Zi9yVJkiRp2KrLIhP4PPDxbl9PLf35C+CQ0n+PAEbyysY+pJRuiYh9gW8CnwWeBA5MKV1d5f5KkiRJkqjz6bIri9NlJUmSJA1nRU6XbfAtMiRJkiRJ9aRep8tKqmNz5uRdT++6C2bMgKVL85Eb73gHbLstbLhhrXsoSZKkWrHIlFS2hx+Gb34T/u//YNQo6OzMBWaX886DZctg3XXha1+Dj3yk8Y8UkSRJ0uD49k/SgJYsgalToaMDLroIFi6El19+dYEJMG8eLFgADz0En/40TJ4MTz5Zky5LkiSpRiwyJfVrwQLYdVf49rfzfy9bVl67+fNh+nTYfHO4447q9lGSJEn1wyJTUp+WL4c99shrLzs7B99+2TKYOxfe/W548MHi+ydJkqT6Y5EpqU/f+14uMBcurCzO/Pmwzz552q0kSZKam0WmpF498wwce2wuECuVEvz973DqqZXHkiRJUn2zyJTUqzPPXHFjn0p0dsJ3v+topiRJUrOzyJS0gmXL4Mc/hsWLi4/7hz8UG1OSJEn1xSJT0gpmzMhTXIs2dy5cc03xcSVJklQ/WmrdAUn1Z/r06sW+5ZbK2i9bBo8+mtd4pgRrrAGbbgqjRxfTv74sWQIPPwz//CdEwFprwcYbQ4uvopIkSa/i2yNJK3juuXwmZjX885+Db7N0KVx+OZx+Otx9N7S2wsiR+bmUcl832ACOOAIOOADa24vp66JFcPHF8J3vwAMPwJgxMKI0/2P58rzr7uabw5e/DHvvDaNGFfN9JUmSGpnTZSWtoBpTZYca+447YN114WMfy6OgixbBvHnw0kv58fLLeZTxoYfgi1+ESZPgN7+pvJ9XXglveAN85jNwzz35e8yd+8r3nTs3X5s2DQ49FN74Rrj22sq/ryRJUqOzyJS0gjXXzKN21bD66uXdlxKccALssks+TmXevIHbdBWfn/gEfPjDQ9vJdvlyOOww+NCH4IUXcjE5kLlz4fnnYc894fDDcwxJkqThyiJT0gq23PKVaaFF22678u475hg47bShTdudPz9Pr/3ABwZ3DEtKcNBB8Mtf5iNXBquzE849Fz71qeqOBkuSJNUzi0xJK9h007zBTtHGjYN3vWvg+37/ezjrrKEVel06O+Hmm+HEE8tv8/3v5+9dyfedPx8uvBB++tOhx5AkSWpkFpmSVtDaCgcfXJ2dU/feu//nX3wRDjmkskKvS2dn3izo/vsHvvfJJ+Hoo3ORWMT3/eIX4dlnK48lSZLUaCwyJfXqyCNzsVmUtra81rGtrf/7zjwz79palIULc/E4kBNOyJsKFWXxYjj55OLiSZIkNQqLTEm9Wn/9XGgWdRzIxIkDT11dujRPky2yyEwJrrsun6vZl5deylNci5wivGQJnHdeMSOjkiRJjcQiU1Kfjj8+F5uVnv/Y3g6//e3ABeu99w5tR9iBjBwJV1zR9/PXX1+dMy5bWuCmm4qPK0mSVM8sMiX1qbU1F2Drrz/0I026CszJkwe+d/r0we0GW67OTrj11r6fv+uu8o5IGcr3vfvu4uNKkiTVM4tMSf2aOBHuvBM++tGB11N2194O666bd3jdbbfy2jz44NCOLClHf5v/3Htvdc62XLoU7ruv+LiSJEn1zCJT0oDGjoVzzoErr4QddsijmmPHrnhfayussgqsuSZMnQqPPJLP3CxXETvK9qW/TX2KXAPaU7WKZkmSpHpVhQMKJDWrHXfMawyffDJvpnPrrfDYY3nDnNVXh+23h223zfeNGMJHWBMnFt/nLqus0vdzq65ave87fnz1YkuSJNUji0xJg/bmN8N//Ed+FGmLLWDcuOLXR0bAO97R9/PbbJM3Bip606HRo3NsSZKk4cQiU1Xx0ktw6aVwyy1545N58/LunZtskke59tgjFypqDLNm5ZHKarfv6MhHjhRt3Lj+Nx56xzvyetOii8xRo3JOkiRJw4lrMlWomTPh4INhrbXgc5+Ds8/Om6r85S/w0EPwm9/AUUflYnPnnfOunqpvU6fC296Wp8UOxWOP5fZTpw5870YbwWtfO7Tv05+lS/MHG33Zccc82lm00aNhu+2KjytJklTP6q7IjIjXRcS3I+LPETEvIp6JiF9ExKQy2+8VEQ9ExMKIeDgi9q92n5X98pew4YZwwQV5I5W+pjwuXJgfN96YC80jjoDFi1dqV1WmqVPhhBPyhwdTpgy+0Hzssdxu5swcZ6BCMwK+8pXeNxUaqtZWOOCA/tdkjhoFn/1sLgqL0tYGhx+ez+iUJEkaTuquyAS2AvYGzgc+ABwFbAPcFhHj+msYEdsDFwPXA7sBlwPnR8R7qtpjceyxcNhhubAczJTDBQvgxz+GXXet7g6fGryuArPLYAvN7gVml3IKzU98Io+EF2XMGDj55IHvO/roPK22KKuumj9AkSRJGm7qsci8BdgopXRqSun6lNIFwJ7A2sCHBmj7DeCmlNLhpbZHAVcCx1W3y8Pb974H//3fQz9+YsGCvG5zn32qsx5PgzdrFvzkJyteL7fQ7K3A7PKTn+T4fRk1Kk+rHsyZnH1pb4cf/ai8onX8ePjVr3KbSrW1wfnnF1u0SpIkNYq6KzJTSnNSSkt7XHsM6ATW7KtdRIwGpgAX9XjqAmByRHiQQBU8+igcc0zl5xsuXJiPxjjvvGL6pcqsvjpcfz1M6mWS+kCFZn8F5qRJOe5AmwC9/e3wi19UVmi2t8ORR8KBB5bf5r3vhVNOqazQbGvLH7pMmTL0GJIkSY2s7orM3kTE24B24OF+blsPaAVm9Lj+CDnPDarTu+HtkEP6P+R+MObPh89/Hl5+uZh4qswGGwy+0CynwNygzN/E/faD3/42TzttbS2/3yNG5ELv5JPhpJPKb9fl8MPhBz/I60IHs56ypSW3+elP89RxSZKk4arui8yIGAF8D/gLcHU/t3Yd4z6nx/XZPZ5XQR5+GP78Z1i+vLiYKcH//m9x8VSZwRSaRRaYXXbfHR5/HN7//rwpT38b84wcmYvLrbaCe+6BL35xcN+ru49/PO+GvMMOOWZ/RW5ra173OWUKzJiRNxmSJEkazmpaZEbW0u3R27jBKcBk4KCUUjlbyvRc1Rd9XCcipkZEmtnbu2IN6Ic/LP5cwfnz4Ywzio2pypRTaF5+efEFZpfXvAYuuSQfg/OlL8Hmm+dic9So/GhthfXXh099Cu64Ix+Ls9FGQ/te3a29du73fffl43g23jh/r67vO2oUbLopfOEL8MADcPXV8IY3VP59JUmSGl2kGu60EhE7k3eC7XJjSmnnbs9/Dvg+cEBK6cIBYm0CPATsnFK6sdv1rYG7gHeklO7urW1HR0eaNm3aUNMYtjbdNI9mFq2lBebMKfYYC1Wuv5HKvlRaYPZl+XKYOzePfI8bl39mVoZly/L3jcjf1+NJJElSs4iI6SmljiJi1Xq67HRg626Pf69kiogPAWcBXxmowCx5AlgC9BzD2AhYDgzxKHn1ZvnyPLJUDe3tcP/91YmtoetvRLM31SowIa+7HD8eJkxYeQUm5KJywoT8vS0wJUmSelfTIjOlNDelNK3b41H49wjnr4Dvp5ROLzPWIvKo6H49ntofuD2l9FKBXR/2Fi6s3nEjEf0fcaHaKbfQrGaBKUmSpPpW65HMFUTExsDvyLvEXhgR23Z7rNftvoMjYmlErN2t+UnAzhFxRkTsHBGnAbsDJ67UJIaBiOqeaTmi7n4y1WWDDeDss/u/5+yzLTAlSZKGq3p8K78NMB7YHLgVuL3b4xvd7hsBjOSVjX1IKd0C7AvsClwF7AkcmFLqb1daDcGYMflRDcuXu4FKPXvsMfj0p/u/59Of7vscTUmSJDW3mm78Uy/c+Gdottkm7+RZtNZW6OxcuWvtVJ7BbP7jlFlJkqTG0Uwb/6iBfeAD1RnN3GorC8x6NNjdZXueoylJkqThwSJTQ3boocXHHDcOjjqq+LiqTH8F5qRJcNll/Z+jaaEpSZI0fFhkashe+1r40Idg9OjiYk6YAHvuWVw8VW6gAvP662GPPfreddZCU5IkaXixyFRFzjorn2tZhLY2uOgip8rWk3IKzK41l/0db2KhKUmSNHxYZKoiEyfCJZfkArES7e3w1a/C5MnF9EuVG0yB2cVCU5IkSRaZqtjOO8PFF+dCMWLA21fQ3g6HHw7HHVd41zREs2YNvsDsUk6hOWtWsf1tNIsWwT//Cc8/D0uW1Lo3kiRJxbLIVCF22w2mTYNNNoGxY8trM2ZMHgm94AI45ZShFaiqjtVX731jp3KPJemv0Dz00Bx/uLnnHvjkJ+HNb84bXK2zDqy9dv592WgjOOIIePzxWvdSkiSpcp6TiedkFmnp0lw0nnoq/PWveX3lvHnQ9WM2dmwuJseMgS9+ET73uVxoqj5NnQonnJD/eyjnXvaccnv88TnmcPLQQ/Cxj+W/i4ULYfny3u9rbYWRI2GnneDcc3sv0CVJkqqlyHMyLTKxyKyWJ5/Mo5t//jPMmZPXbW68cT4H861vzW+oVf+mToWf/GTwBWaXrkLz0EOHX4F5+ul5GvjCha980DKQlpb8IcwvfgH77FPd/kmSJHWxyCyYRabUv1mzKpviWmn7RnTMMXDmmdDZObT2bW3wox/BwQcX2y9JkqTeFFlkuiZT0oAqLRCHW4H5y19WVmACLFgAn/kM3HVXcf2SJElaGSwyJalAzz0Hn/1sZQVmlwULYL/98nRbSZKkRmGRKUkFOvbYfERJUV54Ia+JlSRJahQWmZJUkLlz4fzziz37srMTvv3t8jcOkiRJqjWLTEkqyBVX5N1hizZ7NjzwQPFxJUmSqsEiU5IKcvvt+VzYoqUE06cXH1eSJKkaLDIlqSB33VWdaa3z51tkSpKkxmGRKUkFqcYoZpe5c6sXW5IkqUhVWD0kaWV58UW4/nq48868Zm/JEpg4ESZPhq23hu22g5Eja93L4WPMmOrFbmurXmxJkqQiWWRKDWjGDDj+eLj0Uhg1Ko+gLV/+yvN/+EO+3tYGRx4Jhx9ukbIybLFFnjJbtLY22Hzz4uNKkiRVg9NlpQaydCmcfDJsuSX89rewcCG8/PKrC0zI5zTOnQvPPw8nnAAbbgh33FGbPg8n220H48YVH7elBbbaqvi4kiRJ1WCRKTWIxYvh/e+Hb30LFixYsbDsy4IF8Mwz8K53wYUXVrePw91uu+UPAorW2po/WJAkSWoETpdV1TzzDNx9N9x/P7z0Ul6vttFGeURmk01ghB9xlC0l+PCH4aabctE4FJ2d8IlPwPjx8L73Fds/ZWuumf9uL720/A8BBtLaCm9/O3z1q/l3Zu21oaMjT82t5hpQSZKkoYpUjf32G0xHR0eaNm1arbvRFJYtg4suglNPhcceW3G9YNdUwrFj81rBww7LRY/6d9558LnP5aMsKjVhAjzxBKy2WuWxtKJHHskfpAz1w4DetLS8MkI6Zkz+vVq6FD7+cfjyl2HddYv7XpIkaXiKiOkppY4iYjmWpMI89lh+c33ooXn0srf1gvPm5cc//wlTp8J668EVV9Ssyw1h9mz4z/8spsCEPKL5hS8UE0sr2nhjOPZYaG8vLmb3Kbhdv1ednXDOObDZZvBf/5U/4JEkSaoHFpkqxFVX5Sl9DzxQfjG0YAHMmgX77gvHHVedQ+ybwc9+VtzUS8hrOy+5BF54obiYerWjj4b3vrfYQrM3S5bkYvOkk+Dd7y529FSSJGmoLDJVsZtugn32yW92h1IMdXbCd76Td03Vis44I/8dFSkCfv7zYmPqFSNG5Gnj++1X/UIT8gc7t98Oe+zhiKYkSao9i0xVZM4c2Hvvyougzs68a+qddxbTr2Yxa1aeWly0BQucplxtLS25kL/oorz+tRpHm3S3cGFx7dK5AAAgAElEQVT+/Tn99Op+H0mSpIFYZKoihx9e3FrBBQvyDqrVOAKiUd1zD7S1VSf2ffdVJ65ebY89YOZMOPvsvGZ51KhccI4fnx+jRhX3vTo787moTzxRXExJkqTBqrsiMyJGRcRFEfHXiFgQEf+KiCsioqyjyCNir4h4ICIWRsTDEbF/tfs8XD3/PPzmN7BoUXExZ8+Gyy4rLl6j+8c/qjf98aWXqhNXKxo9Gg44AKZNy4XgnXfmY04uvRTWWqvY77VkiaOZkiSptuquyARGAgk4BdgDOBRoB66LiH436o+I7YGLgeuB3YDLgfMj4j1V7fEwdc45xcecOxdOO634uI0qojFjq28jR+ZzYnfcMRefs2YVG3/p0nzkjZsASZKkWmmpdQd6SiktAF41+hgR1wCzgA8C3+2n+TeAm1JKh5e+vj4iNgWOA66uQneHtUsvzevAijZtWn6j3FJ3P50r32tfm4uSavB80tq79tpiZwJ0aWmBe++F7bYrPrYkSdJA6nEkszfzgYVAn6uXImI0MAW4qMdTFwCTI8K31AVKCR58sDqxR4/OB9oLttyyeiNSW2xRnbgq3403VmcN8uLFMH168XElSZLKUbdFZmQtEbEWcBqwDDi/nybrAa3AjB7XHyHnuUFVOjpMLVpUnVFMyCN3zzxTndiNZvXVi1+zB3kzod13Lz6uBudvf6tO3IUL4cknqxNbkiRpIHVbZAJfBZYAzwEfB3ZPKT3dz/0TS3/O6XF9do/n/y0ipkZEmjlzZqV9HXaWLavumr6hnLfZrI44ovizFlOCgw8uNqYGr5pnWnpepiRJqpWaFpndRiu7Ht1Xn/0c2BrYE5gOXBYRm5QRNvX8Nn1cJ6U0NaUUkyZNGkLvh7e2tuoVmSnlETxlhxxS7LrM0aNh331hjTWKi6mhqdbPeUtLXs8rSZJUC7UeydyJPFrZ9bi264mU0j9SStNSSn8APkDe+OfofmJ1jVhO6HG96+ueI5yqwIgRsP761Ynd2Qlve1t1YjeiCRPgBz+AsWOLidfeDmeeWUwsVWaHHfLvUtHa2/N6XkmSpFqodZE5nTxa2fU4rLebUkpLgQeA/o4weYJcqG7U4/pGwHLgsUo7q1fbZZfq7Hz6pjcVV1A1i49+FN773jyCXIm2NrjgApi4wuRx1cIOO1TnZ33RIth66+LjSpIklaOmRWZKaW5ptLLr8Whv90XEGGBLoM+tLFJKi8jnY+7X46n9gdtTSh49X7DDDoNRfe73OzTt7fDFLxYbsxlE5OJwl12Gvj6zvT2fn/geT42tG+97X3VGMnfe2SnnkiSpdmo9krmCiDggIs6LiAMjYueIOAD4E/A6up2RGREHR8TSiFi7W/OTgJ0j4oxS29OA3YETV2oSw8Rb3wqbbVbsm+QRI9yQpi+trfD738M3vpFHJMsdRW5vh7XXhhtuyGsxVT9aW+H//b/KR6i7a2+HY44pLp4kSdJg1V2RCTwKrE4uKK8CTgFmAh0ppXu73TcCGMkrG/uQUroF2BfYtdR2T+DAlNLVK6frw88vfpE3kinC2LFwxhkw3hNN+zRyJBx9NNx3H3zkIzBmDKy66oqF/pgxsMoq8LrXwQknwIwZTp+sV0cfXdyo4+jRsMcesNNOxcSTJEkaikhphU1Xh52Ojo40bdq0WnejYX33u3l0rbNz6DHGjIEdd4Qrr6zu0SjNZs4cuPFGuOsuuP9+WLwYVlsNJk/OReU221RnOqaKddddMGVKZb9DI0bAa14DjzzimltJkjR4ETE9pdRRSCyLTIvMIhx9NJx11tDeJLe1wdvfDtdcU+y0QamRXH45fPjDQ/sdamnJheXtt8N66xXfN0mS1PyKLDId4ximXnwRfvKTvGvphhvC61+fd3WdMgWmToW77x5cvFNPhe9/H8aNy294y9XWBv/xH3DddRaYGt722CP/HrzhDYP7XRg7No9c33dfYxeY//oX/PCHeRr4+uvDpEl5LfG73gUnnZTzkyRJjcGRTIbXSOZzz8GXvgT/9395fd/8+Sve09KS13a9/vVw2mmw117lx3/2WfjqV+GSS/qOP2ZM/nOrreDb385vkCVlCxbAt76VZwYsXw7z5kHPl+mWlvx7tMYaec3tQQc17jTzv/0NjjgC/vjHPOW3t5Hclpa8k/W668Lpp+fjfCRJUrGcLluw4VJk/vrX+diRRYtgyZLy2rS35yMvfvYzmDCh/O81ezb87ndwyy0wbVp+ozxqFGyySV57ucce8Ja3DC0PaThYvBiuuAJuvjk/Zs3KRdgb35g39nnXu2C77Rq3uAQ455x8ZNGiRbB0aXlt2tvzB19nn51nTkiSpGJYZBZsOBSZJ52Up7QOZb3XqFF5Ku3tt+eRE0mq1Fe/mqfYD+U1acyY/CHVLbe4G7UkSUVxTaYG5dxzh15gQh5RefrpvF6z3BFQSerLf//30AtMgIUL4S9/ybMsli0rtm+SJKlyFplN7umn4fDDKzsaAXJx+de/5hFRSRqqRx+Fr3+98tekRYvgoYdywSpJkuqLRWaT+8xn8qf+RejszJtuPP10MfEkDT+f/GQuEIswfz4cdxw8/3wx8SRJUjEsMpvYM8/ADTcUO51s2bI8zU2SBmvGDLj33rxrblFSypsASZKk+mGR2cR+8YsVjz6o1OLF+Q2d+0VJGqxzzil+XffChfA//1NsTEmSVBmLzCb2pz8VNy2tuyVLnDIrafCuu678o0oG48UX8xEvkiSpPlhkNrEHHqhO3NbWPOVNkgZjxozqxG1r8zVJkqR6YpHZxObNq07cZctg9uzqxJbUnJYvhwULqhM7JV+TJEmqJxaZTWxEFf91qxlbUvOJyI9q8TVJkqT64f+Wm9iaa1Yn7siRsPba1YktqTlFwGqrVSd2Sr4mSZJUTywym9g73lGduAsWwJZbVie2pOa1xRbVibtwIWy2WXViS5KkwbPIbGJ77gnjxhUfd911Yfz44uNKam4f/CCMHVt83M03h9Gji48rSZKGxiKzie23X/Exx46Fr3yl+LiSmt9BB+WNw4q0yiq+JkmSVG8sMptYWxsccQS0txcXs70dPvKR4uJJGj7Gj4fDDsuvTUXG/OAHi4snSZIqZ5HZ5I49FiZNKmZXx/Z2OP/8YotWScPLKacUtwFQWxtcdFE+u1eSJNUPi8wmN2oU/P73eUpZJdrb4T//E971rmL6JWl4amuDSy+tfG1mezt87WsweXIx/ZIkScWxyBwGNtkEbrgBJkwY2if+7e3wmc/Af/1X4V1rOkuXwlNPwaOPwrPP5qMVJL3allvCn/6UP/xqaRl8+/Z2OOqoPFNDkiTVH4vMYeLtb4cZM2CXXcofQWhrg4kT4YIL4Dvfqe5B6o3sX/+Cb30LNt00/92+9a2w9dawwQb56623hnPOgfnza91TqX5MngwPP5z/LPc1qb0dXvOaPDtj6tSqdk+SJFUgkkMtdHR0pGnTptW6GytFSnDttXDqqXDLLXnb/4ULYfFiGDEiv9lbvjyPMBx5JBx6aB4B1YoWLoRjjoEf/jD/3S1Y0Pe948blv9dTToHPfz7fLym/Jv3xj3mmxJ13wpgxK74mLVuW13EedRR84hOVT/+XJEkriojpKaWOQmJZZA6vIrO7OXPgnnvgvvvg5ZfztLW3vAW22grWW89CqD+PPgrveQ+88AJ0dpbfbuzYPOL5xz/C6qtXr39SI5o1K78m3X8/zJ2bp/evv35+TVp3XWdTSJJUTRaZBRuuRaaGZsaMPMXvpZeGtuaytRXe+Ea4++7idtmUJEmSKlFkkelYlTQI8+fnda1DLTABlizJmwLtuacbA0mSJKn5WGRKg3DkkXmacaXF4eLFeZry2WcX0y9JkiSpXtR9kRkRZ0REiojTy7x/r4h4ICIWRsTDEbF/tfuo4eGpp+C88/rf4Gcw5s+Hr3wFFi0qJp4kSZJUD+q6yIyITYBPAi+Xef/2wMXA9cBuwOXA+RHxnqp1UsPG97+fd4gtUkpw8cXFxpQkSZJqqa6LTOBM4HvA7DLv/wZwU0rp8JTS9Smlo4ArgeOq1UENH7/6VZ7mWqS5c+Hcc4uNKUmSJNVS3RaZEbEvsDFwapn3jwamABf1eOoCYHJEjC+2hxpO5szJxytUw733VieuJEmSVAt1WWRGRBvwHeDolNL8MputB7QCM3pcf4Sc5wbF9VDDzSOPQFtbdWK//HIe0ZQkSZKaQV0WmcAxwHPALwfRZmLpzzk9rs/u8bw0aJ2d1TsIvqWluM2EJEmSpFqraZEZWUu3x8iIeDPwZeCLKQ3poIiebaKP60TE1IhIM2fOHMK30XAyZkz1zrRcujTHlyRJkppBrUcydwKWdHtcS16DeQUwIyImRMQEcj9Hl77uazypa8RyQo/rXV/3HOEkpTQ1pRSTJk2qMA01u403hoULqxN7lVVg1VWrE1uSJEla2WpdZE4Htu72OAzYENiHXDR2Pd4IfL7036/vI9YT5EJ1ox7XNwKWA48V3HcNI6utBuOrtHXU5ptXJ64kSZJUCy21/OYppbnAtO7XIuJTwLget14A3Aj8EPhXH7EWRcT1wH7Aj7s9tT9we0rppaL6reHpgAPghz+EJUuKizluHHziE8XFkyRJkmqtpkVmb1JK03pei4iFwDMppRu6XTsYOBdYL6X0dOnyScANEXEG8Dtg99LjfdXut5rf4YfDT35SbJEJ8OEPFxtPkiRJqqVaT5etxAhgJK9s7ENK6RZgX2BX4CpgT+DAlNLVNemhmsp66+WCsKhNesaOhW9+001/JEmS1FxiaBu4NpeOjo40bdoKA6jSCl5+Gd7yFvhXr5O2y9fSAltsAXfeCSMa+aMeSZIkNYWImJ5S6igilm9vpUFYdVW45prKdoNtbYW11oLLLrPAlCRJUvPxLa40SG97G9xyC7z2tYOf6jp2LGy0EUyblttLkiRJzcYiUxqCzTaDxx+Hj30sF5qjR/d/f3t7vu/rX4d777XAlCRJUvOyyJSGaNy4vNvsX/4CRx4J66yT11quskqeTjtuXJ4au8kmcPLJ8NxzcMwxMHJkrXsuSZIkVY8b/+DGPyrOggXw17/CokV5auy66+ZCU5IkSapnRW78U3fnZEqNrK0NNt201r2QJEmSasfpspIkSZKkwlhkSpIkSZIKY5EpSZIkSSqMRaYkSZIkqTAWmZIkSZKkwlhkSpIkSZIKY5EpSZIkSSqMRaYkSZIkqTAWmZIkSZKkwlhkSpIkSZIKY5EpSZIkSSqMRaYkSZIkqTAWmZIkSZKkwlhkSpIkSZIKY5EpSZIkSSqMRaYkSZIkqTAWmZIkSZKkwlhkSpIkSZIKY5EpSZIkSSqMRaYkSZIkqTAWmZIkSZKkwlhkSpIkSZIKU5dFZkQ8FRGpx+MfZbbdKyIeiIiFEfFwROxf7f5KkiRJkrKWWnegH78Gzur29eKBGkTE9sDFwA+Aw4HdgfMjYnZK6eqq9FKSJEmS9G/1XGQ+l1K6Y5BtvgHclFI6vPT19RGxKXAcYJEpSZIkSVVWl9NlhyIiRgNTgIt6PHUBMDkixq/8XkmSJEnS8FLPReYnI2JxRLwUEb+NiLUHuH89oBWY0eP6I+Q8N6hGJyVJkiRJr6jX6bK/B+4AngU2Bo4Hbo6IzVJKL/XRZmLpzzk9rs/u8bwkSZIkqUpqOpIZWUu3x0iAlNL/Symdn1K6OaV0NvBeYBLwiTLCpp7fpo/rRMTUiEgzZ86sJA1JkiRJUkmtp8vuBCzp9ri2t5tSSg8CjwJb9hOra8RyQo/rXV/3HOEkpTQ1pRSTJk0aTJ8lSZIkSX2o9XTZ6cDW3b6eO8D9K4xGdvMEuVDdCLix2/WNgOXAY0PpoCRJkiSpfDUdyUwpzU0pTev2eLS3+yLircCG5KK0r1iLgOuB/Xo8tT9wez9rOSVJkiRJBan1SOYKImIP4GPAZcBM8kjkscDfgJ93u+9g4FxgvZTS06XLJwE3RMQZwO+A3UuP962s/kuSJEnScFZ3RSbwDLAmcAZ5PeUs4Ergaymll7vdNwIYySsb+5BSuiUi9gW+CXwWeBI4MKV09UrquyRJkiQNa5FSf8sch4eOjo40bdq0WndDkiRJkmoiIqanlDqKiFXr3WUlSZIkSU3EIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBWmbovMiNgsIi6LiJciYm5E3BURW5XRbq+IeCAiFkbEwxGx/8roryRJkiSpTovMiNgCuA2YA+wP7Af8AWgboN32wMXA9cBuwOXA+RHxnqp2WJIkSZIEQKSUat2HFUTEHcBfU0oHDrLdVUBrSmmXbtf+CKyaUtq+r3YdHR1p2rRpQ+6vJEmSJDWyiJieUuooIlbdjWRGxCbANsBZg2w3GpgCXNTjqQuAyRExvpgeSpIkSZL6UndFJrnABJgYEX+OiKUR8URE/McA7dYDWoEZPa4/Qs5zg4L7KUmSJEnqoaXWHejFWqU/zwNOA+4G9gXOiYjnUkp/7KPdxNKfc3pcn93j+X+LiKnA8cCSiLi/kk43mEnAzFp3YiUaTvkOp1zBfJvdcMp3OOUK5tvszLd5DadcYfjlu3FRgWq6JjMiAhjZ7VICjga+CfxXSunobvdeR15vuUMfsd4J3AJskVL6c7fr6wOPAe9JKf2pj7YppRSV5tMozLd5DadcwXyb3XDKdzjlCubb7My3eQ2nXMF8K1Hr6bI7AUu6Pa4FXiw9d32Pe68DNuknVteI5YQe17u+7jnC2d0JA/a0uZhv8xpOuYL5NrvhlO9wyhXMt9mZb/MaTrmC+Q5ZrUcyVwE27HZpLvA6coH5vpTSVd3u/QZweErpNX3EGl1q/4WU0o+7XT8I+DmwWkrppcKTkCRJkiT9W90dYRIRo4B/AOeklL7S7foNwNKU0q79tL0KGNn9noi4DJjQ3xEmkiRJkqRi1N3GPymlxRFxInBaRMwhb/zzIWBH8vRaACLiYOBcYL2U0tOlyycBN0TEGcDvgN1Lj/etxBQkSZIkadiq9ZrMXqWUziBvAHQocDnwTmDflNLN3W4bQd40KLq1u4W8E+2uwFXAnsCBKaWrI2KziLgsIl6KiLkRcVdEbDVQXyJir4h4ICIWRsTDEbF/YYlWSUQ8FRGpx+MfZbZtuHy7i4gzSvmeXub9DZNvRIyKiIsi4q8RsSAi/hURV5Tzc1xq3zC5AkTE6yLi26WjjOZFxDMR8YuImFRm+4bKFyAiPhcRl0fErNLP8c6DaNsw+UbEJhFxbUR0RsTMiDgxIkaW0W58RPwsImaXXst/FRGrr4w+D1VEvCUiflz6OV5WmpVTTrtGzHW/iLg0Iv5e+p2dHhEHlNGu4XIFiIh9I+K20u/rwoh4NCKOLc3I6q9dQ+bbU0S8vvTvnCJi3AD3NlzOEXFIL++lUkR8ZoB2DZdrl4hoiYijI+IvEbEoIp6NiP8uo13D5RwRN/Tx75siYnI/7RouV4CI+EhE3FP6nf17RJxXzvupivJNKTX9A9iCvF7zl+RRzfcB3wC2H6Dd9sBS4ExgCvBtYDl5p9qa59VPv58CfgVs2+2xZRntGjLfbv3fBHgZeAk4vdnyBdqAC8kfvuwCfBC4sZTvus2Ua6nP7wceJ3/gNAX4CPkc3KeAcc2Wb6nfdwC3A78m77a9c5ntGiZf8nFSM4FrgHcDnwHmA98so+2VwJPk2S17k3cOv7nWOQ3Q572AZ4DfkM9tvqHMdo2Ya9fP7odLr1Gnl36Ov9BsuZb6fRhwcqnPU4CvAguA7zdjvr3k8Wvy8qZUxmtyw+UMHFLKbQqvfj+1ZrPl2q3v/1t6fT6MPHvwY8C3ymjXcDmT3zNu2+NxNfAvoKXJct2z9LP8feBdpX/Xp4B7gBHV+reteeIr6S/3DuDXQ2h3FXBdj2t/BG6pdU4D9PspyiiymiXfbn29hjxluqz8Gz3fUn/HAYuAI5stV/LO0C09rm1QeqH8eLPlW+rjiNKfb2VwRWbD5AscQ94NfNVu174CdHa/1ku7yaW/kx27XXtH6dqutc5roH/T0n//ljKKzAbOdY1erv0aeLLZcu0nn5PJu9lHM+cL7EA+DeDLDFBkNmrOvFJk9ltAN0OupX6+j3zSwyaDbNewOffIY1TpZ/qHzZYrcAEwvce1rsJz42rlW5fTZYsUEZsA2wBnDbLdaPKnVxf1eOoCYHJEjC+mh/Wh0fONiH3JB8ieWub9DZ1vN/OBheQXx141aq4ppTkppaU9rj1GLkbW7Ktdo+YLkFJaPtg2DZjvbsBVKaWXu127gDxSv1PvTf7d7p8ppZu6LqSU7iJ/wrpbNTpahKH8m9K4ub7Qy+V76ef3lQbNtR+z6Of1mCbItzS1/SzgRKC3f/OeGj7nQWjkXD9J/rDy4UG2a+Scu3sfeabN+f3c06i5tpJnvXXXdbRjf2diVpRv0xeZ5AITYGJpTczSiHgiIv5jgHbrkf9RZvS4/gj5722DgvtZtE9GxOLS/OnfRsTaA9zfsPlGRBvwHeDolNL8Mps1cr5RWjexFnAasIz+XxQbNteeIuJtQDvQ3/8EmybfMjVavhvRo68ppb+RPzzYaDDtSh4ZoF0jaqZct6P/39eGzzUiRkZEe0RsDxxOHglJfdze8PmSp7iPAf6nzPsbPecnSu8dH42Iwwa4t5Fz3QZ4LCK+HxEvR14zf0kZ6/YaOefuPgL8Hbi5n3saNddzgR0i4uCIWDUiNgC+CVw/wIcKFeU7HIrMtUp/nkdep/hu8vzicyJi937aTSz9OafH9dk9nq9Hvwf+kzzv+ijycPfNA4xoNHK+xwDPkdfclquR8/0qeUrLc8DHgd3TKzss96aRc/23iBgBfA/4C3ndRF+aIt9BaLR8J7JiXyH3t7++DrVdI2qKXCPiXeQ1qf0VI82Q6/zS42byOvmj+rm3ofMtbfhxEnmJxpIymzVqzs+R9+84CPgAcCfwo4g4op82jZor5PfLh5D3MfkI8AlgK+D/IqK/0a5GzhmAiGgn/xtf2M8HRNCguaaULif/255NHtF8lLx56j4DNK0o37o7wqQSpV+C7jsUJl4ppM9JKZ1W+u/rI2JjcnHyxwHC9vxhiz6ur3S95ZtSWpZS+n/drt0cEbcB95FfMM4YIGxD5Qu8ibwmZJcBXhj6Upf59vVvW/rvn5PXn74O+BxwWUTsWMYUl7rMFQbMt8sp5A9MdirzzU2j5ztYdZtvL3rrU/RxvYh2jaihc42IdcjrMX+fUvr5ALc3dK7k0dp28lql48iba3yun/sbOd+TgTtTSgO9d+qp4XJOKV1FXu/e5YrS8oRjI+J7/UyFb7hcS6L02CulNAsgIp4jf3CyC3BtP20bNecuHyDvcdHfrLAuDZdrREwBfkT+oP4K4LXAVPIHCLsO8P5jyPk220jmTuQRnq7HteRFvADX97j3OvLOUn3pGgWY0ON619e9VfYrW2/5riCl9CD5U4st+4nVqPmeSv6FmREREyJiAvnnenTp674+fav3fPv8t00p/SOlNC2l9AfyC+Ms8g6sfan3XGGAn+WI+Bx5dODjKaU7B4jV8PkOUiPk291sVuwrwHj672tf7SYM0K4RNXSuEbEa+XX5b+RdDPvT0LkCpJTuSSndklL6Lnm67GcjYr0+bm/YfCNiU/K6vRO6/f+2vfT0+NLSld40bM69+C2wGrBOH883cq6zgQe6CsySW4DFDPx+uVFz7vIR4PGU0rQB7mvUXL8DXJpS+mpK6YaU0oXkEwp2Js826UtF+TbVSCYwHdi629dzyaM9vQnyFv99eYL85m8j8qc4XTYqtXts6N0sTG/59qe/Tx0aNd8Lgc1Zccj/86XHG4Fne4lV7/mW9W+bUloaEQ8A6/YTq95zhX7yjYgPkTeZ+ErphXEgDZ3vEDRCvt3NoMdajoh4IzCW3td+dG+3Qy/XNwJ+V1jv6kPD5lqadnYZefObPcpYJ9+wufbhntKfbyb/bvbUyPmuT17/fXsvzz0L/BT4VC/PNXLOfenr/VQj5/oIMLqX6wO9X27knCktJduNvMfFQBo1143oMUqbUno0IhaQ93XoS2X51npb3Wo/eGVL4tN6XL8BuGaAtlf1vIf8P8+6OxZggDzeSj5D7/BmyxfoIH8S0/3xD3LxuTMwupny7SWHMcBfgf9ttn/bUh93Ju+e+71BtmvIfLv1dShHmDREvuRlCi8Cq3S79mXKP8Jk+27XOqjzreN75DDYI0waKlfyB9eXk8+Z26DMNg2Zaz/5HFbq+3rNli+wRi//vz211PfdgA2bLedecrmg9PPd69mCjZxr6XV4Pt2OIir9G78qn2bKudTXQxjgKI9Gz5X8AcL5Pa5tXOr3ftXKt+aJr6S/3C+Sh/u/Rt7450fkT2V26HbPweRCbO1u17oOOD+j9It2GnV6wHm3Pu9B/rTio+RjDT5L3i3rr7z6XLqmyLePv4On6HFOZjPkCxxA3sDqwFJ/DyBvNLEAeHsz5Vrq88bk6Rj3kdc8dT8web1u9zVFvqV+dwD7AkeUXsSPL33d0Sz5kjcLeA74E7Ar8GlgHvDNHvc9Dvy0x7UrS69l+5Cn+jxK/R+C3V76N9yXPAL0ULev25ss17NLP7eHs+Ih56ObKddu/f4yucB6D3BC6Wf5gm73NE2+ffwdHEKPsySbJWfgYvJGe7sB7wf+t5TrF5ot11K/VyVPcb+dvOGTCtYAAAOkSURBVBTnQOAZ4E897muanLv1/b4+nmuKXIH/R35P8B3y/3c/Wur3k8DYauVb88RX4l/wkaW/zMXAA8A+PZ7veqFcp8f1DwIPkg+8nwF8pNa5DJDn28jru/5FnkL3D/JGMZOaMd8+/g6eYsUis+HzJa+pvbz0b7qolOeFwKbNlmuPPHp7/LzZ8i31+efDIV/y+p7ryB+QPEferXJkj3ue6p536doE4GfkDx9eJm8ss8bK6vcQc12nn5/jdZos16eGS66lfp9U+p2bV+r7PcAXgNYefydNkW8ffwddr0fdi8ymyBn4FvkNdWfptWo6cFCPe5oi1259fwt5Q8z55PV4PwcmNmvO5NH5JeQj8Hp7vilyJU95/ixwf+nf9u/k94/rVjPfKAWQJEmSJKlizba7rCRJkiSphiwyJUmSJEmFsciUJEmSJBXGIlOSJEmSVBiLTEmSJElSYSwyJUmSJEmFsciUJEmSJBXGIlOSpDoREf8RET+OiDvj/7d3xyxWnFEYgN+jAQUDQopgYxDMlim2zhYL/gCtFrURRLByf0AgpEhAk2wgbWALC0G2ckuxs4ggFkogYqWYwtJ0C4bgSTHXIEEDCzM72fA83Zzv3st7y5dvvpmqnarqqvpm7lwAsBsfzB0AAPjbD0mOJvk9yYskJ+eNAwC7ZycTAP47ziY50d0fJbGDCcC+pGQCwESqantxy+uVd6x9vVjbfDPr7tvd/XxvUwLAuJRMAJjOxSS/Jfm+qpbfDKvqVJIvkjxOsj5TNgCYhJIJABPp7pdJziU5mGSrqj6sqo+T3EjyKslad+/MmREAxqZkAsCEuvteki+TLCX5KUPBPJZkvbt/nTMbAEzB02UBYHrfJllNcn5xfbO7N9//cQDYv+xkAsDEuruT3Hpr9ONcWQBgakomAEysqpaSbGR4/+XrJJtVdXjeVAAwDSUTACZUVYeSbCU5kuE9mFeTfBa7mQD8TymZADCtjSTLSb7r7jtJvkryc5LLVbU2azIAmEANx0QAgLFV1ZkMZzHvJ1np7j8X8+NJHmV4AN9ydz9dzC8lWVl8/dMknyf5JcnDxexJd1/bu38AALunZALABKrqkwxF8kCGIvnsH+unk2wneZChgP5RVdeTXPiXn73b3avTJAaAcSiZAAAAjMaZTAAAAEajZAIAADAaJRMAAIDRKJkAAACMRskEAABgNEomAAAAo1EyAQAAGI2SCQAAwGiUTAAAAEajZAIAADCavwCczjboYlHDIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "number_of_iterations = 4\n",
    "for i in range(number_of_iterations):\n",
    "    input('Iteration {} - Press Enter to update the members of each cluster'.format(i + 1))\n",
    "    colors, class_of_points = assign_members(x1, x2, centers)\n",
    "    title = 'Iteration {} - Cluster Assignment'.format(i + 1)\n",
    "    plot_points(centers, colors, figure_title=title)\n",
    "    input('Iteration {} - Press Enter to update the centers'.format(i + 1))\n",
    "    centers = update_centers(x1, x2, class_of_points)\n",
    "    title = 'Iteration {} - Centroid Update'.format(i + 1)\n",
    "    plot_points(centers, colors, figure_title=title)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now, we have visually observed how <em>k</em>-means works, let's look at an example with many more datapoints. For this example, we will use the <strong>random</strong> library to generate thousands of datapoints."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Generating the Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "First, we need to set up a random seed. We use the Numpy's **random.seed()** function, and we will set the seed to 0. In other words, **random.seed(0)**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Next we will be making *random clusters* of points by using the **make_blobs** class. The **make_blobs** class can take in many inputs, but we will use these specific ones.\n",
    "\n",
    "<b> <u> Input </u> </b>\n",
    "<ul>\n",
    "    <li> <b>n_samples</b>: The total number of points equally divided among clusters. </li>\n",
    "    <ul> <li> Value will be: 5000 </li> </ul>\n",
    "    <li> <b>centers</b>: The number of centers to generate, or the fixed center locations. </li>\n",
    "    <ul> <li> Value will be: [[4, 4], [-2, -1], [2, -3],[1,1]] </li> </ul>\n",
    "    <li> <b>cluster_std</b>: The standard deviation of the clusters. </li>\n",
    "    <ul> <li> Value will be: 0.9 </li> </ul>\n",
    "</ul>\n",
    "\n",
    "<b> <u> Output </u> </b>\n",
    "<ul>\n",
    "    <li> <b>X</b>: Array of shape [n_samples, n_features]. (Feature Matrix)</li>\n",
    "    <ul> <li> The generated samples. </li> </ul> \n",
    "    <li> <b>y</b>: Array of shape [n_samples]. (Response Vector)</li>\n",
    "    <ul> <li> The integer labels for cluster membership of each sample. </li> </ul>\n",
    "</ul>\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "X, y = make_blobs(n_samples=5000, centers=[[4, 4], [-2, -1], [2, -3], [1, 1]], cluster_std=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Display the scatter plot of the randomly generated data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fef506cfac8>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 10))\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Setting up *k*-means"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now that we have our random data, let's set up our *k*-means clustering."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "The KMeans class has many parameters that can be used, but we will use these three:\n",
    "<ul>\n",
    "    <li> <strong>init</strong>: Initialization method of the centroids. </li>\n",
    "    <ul>\n",
    "        <li> Value will be: \"k-means++\". k-means++ selects initial cluster centers for <em>k</em>-means clustering in a smart way to speed up convergence.</li>\n",
    "    </ul>\n",
    "    <li> <strong>n_clusters</strong>: The number of clusters to form as well as the number of centroids to generate. </li>\n",
    "    <ul> <li> Value will be: 4 (since we have 4 centers)</li> </ul>\n",
    "    <li> <strong>n_init</strong>: Number of times the <em>k</em>-means algorithm will be run with different centroid seeds. The final results will be the best output of n_init consecutive runs in terms of inertia. </li>\n",
    "    <ul> <li> Value will be: 12 </li> </ul>\n",
    "</ul>\n",
    "\n",
    "Initialize KMeans with these parameters, where the output parameter is called **k_means**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "k_means = KMeans(init=\"k-means++\", n_clusters=4, n_init=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's fit the KMeans model with the feature matrix we created above, <b> X </b>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=4, n_init=12, n_jobs=None, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_means.fit(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's grab the labels for each point in the model using KMeans **.labels\\_** attribute and save it as **k_means_labels**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 3, 3, ..., 1, 0, 0], dtype=int32)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_means_labels = k_means.labels_\n",
    "k_means_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "We will also get the coordinates of the cluster centers using KMeans **.cluster\\_centers\\_** and save it as **k_means_cluster_centers**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-2.03743147, -0.99782524],\n",
       "       [ 3.97334234,  3.98758687],\n",
       "       [ 0.96900523,  0.98370298],\n",
       "       [ 1.99741008, -3.01666822]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_means_cluster_centers = k_means.cluster_centers_\n",
    "k_means_cluster_centers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Visualizing the Resulting Clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "So now that we have the random data generated and the KMeans model initialized, let's plot them and see what the clusters look like."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Please read through the code and comments to understand how to plot the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize the plot with the specified dimensions.\n",
    "fig = plt.figure(figsize=(15, 10))\n",
    "\n",
    "# colors uses a color map, which will produce an array of colors based on\n",
    "# the number of labels. We use set(k_means_labels) to get the\n",
    "# unique labels.\n",
    "colors = plt.cm.Spectral(np.linspace(0, 1, len(set(k_means_labels))))\n",
    "\n",
    "# create a plot\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "\n",
    "# loop through the data and plot the datapoints and centroids.\n",
    "# k will range from 0-3, which will match the number of clusters in the dataset.\n",
    "for k, col in zip(range(len([[4,4], [-2, -1], [2, -3], [1, 1]])), colors):\n",
    "\n",
    "    # create a list of all datapoints, where the datapoitns that are \n",
    "    # in the cluster (ex. cluster 0) are labeled as true, else they are\n",
    "    # labeled as false.\n",
    "    my_members = (k_means_labels == k)\n",
    "    \n",
    "    # define the centroid, or cluster center.\n",
    "    cluster_center = k_means_cluster_centers[k]\n",
    "    \n",
    "    # plot the datapoints with color col.\n",
    "    ax.plot(X[my_members, 0], X[my_members, 1], 'w', markerfacecolor=col, marker='.')\n",
    "    \n",
    "    # plot the centroids with specified color, but with a darker outline\n",
    "    ax.plot(cluster_center[0], cluster_center[1], 'o', markerfacecolor=col,  markeredgecolor='k', markersize=6)\n",
    "\n",
    "# title of the plot\n",
    "ax.set_title('KMeans')\n",
    "\n",
    "# remove x-axis ticks\n",
    "ax.set_xticks(())\n",
    "\n",
    "# remove y-axis ticks\n",
    "ax.set_yticks(())\n",
    "\n",
    "# show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "<a id='item2'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "## 2. Using *k*-means for Customer Segmentation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Imagine that you have a customer dataset, and you are interested in exploring the behavior of your customers using their historical data.\n",
    "\n",
    "Customer segmentation is the practice of partitioning a customer base into groups of individuals that have similar characteristics. It is a significant strategy as a business can target these specific groups of customers and effectively allocate marketing resources. For example, one group might contain customers who are high-profit and low-risk, that is, more likely to purchase products, or subscribe to a service. A business task is to retain those customers. Another group might include customers from non-profit organizations, and so on."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Downloading Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's download the data and save it as a CSV file called **customer_segmentation.csv**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Data downloaded!\n"
     ]
    }
   ],
   "source": [
    "!wget -q -O 'customer_segmentation.csv' https://cocl.us/customer_dataset\n",
    "print('Data downloaded!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now that the data is downloaded, let's read it into a *pandas* dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "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>Customer Id</th>\n",
       "      <th>Age</th>\n",
       "      <th>Edu</th>\n",
       "      <th>Years Employed</th>\n",
       "      <th>Income</th>\n",
       "      <th>Card Debt</th>\n",
       "      <th>Other Debt</th>\n",
       "      <th>Defaulted</th>\n",
       "      <th>Address</th>\n",
       "      <th>DebtIncomeRatio</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>41</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>19</td>\n",
       "      <td>0.124</td>\n",
       "      <td>1.073</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA001</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>47</td>\n",
       "      <td>1</td>\n",
       "      <td>26</td>\n",
       "      <td>100</td>\n",
       "      <td>4.582</td>\n",
       "      <td>8.218</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA021</td>\n",
       "      <td>12.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>33</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>57</td>\n",
       "      <td>6.111</td>\n",
       "      <td>5.802</td>\n",
       "      <td>1.0</td>\n",
       "      <td>NBA013</td>\n",
       "      <td>20.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>29</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>19</td>\n",
       "      <td>0.681</td>\n",
       "      <td>0.516</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA009</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>47</td>\n",
       "      <td>1</td>\n",
       "      <td>31</td>\n",
       "      <td>253</td>\n",
       "      <td>9.308</td>\n",
       "      <td>8.908</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA008</td>\n",
       "      <td>7.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Customer Id  Age  Edu  Years Employed  Income  Card Debt  Other Debt  \\\n",
       "0            1   41    2               6      19      0.124       1.073   \n",
       "1            2   47    1              26     100      4.582       8.218   \n",
       "2            3   33    2              10      57      6.111       5.802   \n",
       "3            4   29    2               4      19      0.681       0.516   \n",
       "4            5   47    1              31     253      9.308       8.908   \n",
       "\n",
       "   Defaulted Address  DebtIncomeRatio  \n",
       "0        0.0  NBA001              6.3  \n",
       "1        0.0  NBA021             12.8  \n",
       "2        1.0  NBA013             20.9  \n",
       "3        0.0  NBA009              6.3  \n",
       "4        0.0  NBA008              7.2  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customers_df = pd.read_csv('customer_segmentation.csv')\n",
    "customers_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Pre-processing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "As you can see, **Address** in this dataset is a categorical variable. k-means algorithm isn't directly applicable to categorical variables because Euclidean distance function isn't really meaningful for discrete variables. So, lets drop this feature and run clustering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Customer Id</th>\n",
       "      <th>Age</th>\n",
       "      <th>Edu</th>\n",
       "      <th>Years Employed</th>\n",
       "      <th>Income</th>\n",
       "      <th>Card Debt</th>\n",
       "      <th>Other Debt</th>\n",
       "      <th>Defaulted</th>\n",
       "      <th>DebtIncomeRatio</th>\n",
       "    </tr>\n",
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       "      <td>0.124</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "      <td>2</td>\n",
       "      <td>47</td>\n",
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       "      <td>100</td>\n",
       "      <td>4.582</td>\n",
       "      <td>8.218</td>\n",
       "      <td>0.0</td>\n",
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       "    </tr>\n",
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       "      <td>6.111</td>\n",
       "      <td>5.802</td>\n",
       "      <td>1.0</td>\n",
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       "      <td>19</td>\n",
       "      <td>0.681</td>\n",
       "      <td>0.516</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>47</td>\n",
       "      <td>1</td>\n",
       "      <td>31</td>\n",
       "      <td>253</td>\n",
       "      <td>9.308</td>\n",
       "      <td>8.908</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Customer Id  Age  Edu  Years Employed  Income  Card Debt  Other Debt  \\\n",
       "0            1   41    2               6      19      0.124       1.073   \n",
       "1            2   47    1              26     100      4.582       8.218   \n",
       "2            3   33    2              10      57      6.111       5.802   \n",
       "3            4   29    2               4      19      0.681       0.516   \n",
       "4            5   47    1              31     253      9.308       8.908   \n",
       "\n",
       "   Defaulted  DebtIncomeRatio  \n",
       "0        0.0              6.3  \n",
       "1        0.0             12.8  \n",
       "2        1.0             20.9  \n",
       "3        0.0              6.3  \n",
       "4        0.0              7.2  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = customers_df.drop('Address', axis=1)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's normalize the dataset. But why do we need normalization in the first place? Normalization is a statistical method that helps mathematical-based algorithms interpret features with different magnitudes and distributions equally. We use **StandardScaler()** to normalize our dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.74291541,  0.31212243, -0.37878978, ..., -0.59048916,\n",
       "        -0.52379654, -0.57652509],\n",
       "       [ 1.48949049, -0.76634938,  2.5737211 , ...,  1.51296181,\n",
       "        -0.52379654,  0.39138677],\n",
       "       [-0.25251804,  0.31212243,  0.2117124 , ...,  0.80170393,\n",
       "         1.90913822,  1.59755385],\n",
       "       ...,\n",
       "       [-1.24795149,  2.46906604, -1.26454304, ...,  0.03863257,\n",
       "         1.90913822,  3.45892281],\n",
       "       [-0.37694723, -0.76634938,  0.50696349, ..., -0.70147601,\n",
       "        -0.52379654, -1.08281745],\n",
       "       [ 2.1116364 , -0.76634938,  1.09746566, ...,  0.16463355,\n",
       "        -0.52379654, -0.2340332 ]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "X = df.values[:,1:]\n",
    "X = np.nan_to_num(X)\n",
    "cluster_dataset = StandardScaler().fit_transform(X)\n",
    "cluster_dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Modeling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's run our model and group our customers into three clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      " 0 2 0 1 1 0 1 1 0 0 0 1 1 1 2 2 1 1 0 1 1 0 2 1 0 1 1 1 0 1 2 1 2 2 1 2 1\n",
      " 1 2 1 0 1 1 1 1 0 0 1 2 1 2 1 1 2 1 0 1 0 1 0 0 0 2 0 1 1 1 0 1 1 1 2 1 2\n",
      " 1 0 0 1 1 1 1 1 1 1 0 2 1 2 1 1 0 1 1 1 0 1 1 0 0 0 0 1 2 1 0 0 1 1 1 1 2\n",
      " 2 1 0 1 1 2 1 1 2 1 2 1 1 2 0 2 2 2 0 1 1 0 1 2 2 1 1 1 2 0 1 1 1 1 2 1 1\n",
      " 1 1 1 0 1 1 2 1 1 2 1 1 1 1 1 1 0 2 1 1 0 1 1 1 1 0 1 2 1 1 2 1 1 0 1 0 1\n",
      " 0 0 1 1 1 2 0 2 1 2 2 1 0 1 2 1 2 1 1 1 1 1 2 1 0 1 1 2 2 1 1 2 1 1 1 1 1\n",
      " 1 1 1 0 1 1 2 1 1 1 1 1 1 1 0 1 1 1 2 0 2 2 1 1 1 0 1 1 1 0 0 1 0 1 1 1 2\n",
      " 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 0 0 1 0 1 1 1 1 2 0 1 1 1 1 1 2 0 1 1 1 0\n",
      " 1 1 0 1 1 1 1 1 1 0 0 2 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2]\n"
     ]
    }
   ],
   "source": [
    "num_clusters = 3\n",
    "\n",
    "k_means = KMeans(init=\"k-means++\", n_clusters=num_clusters, n_init=12)\n",
    "k_means.fit(cluster_dataset)\n",
    "labels = k_means.labels_\n",
    "\n",
    "print(labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2 id=\"insights\">Insights</h2>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Note that each row in our dataset represents a customer, and therefore, each row is assigned a label."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
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       "      <th></th>\n",
       "      <th>Customer Id</th>\n",
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       "      <th>Edu</th>\n",
       "      <th>Years Employed</th>\n",
       "      <th>Income</th>\n",
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       "      <th>3</th>\n",
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       "      <td>1</td>\n",
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       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Customer Id  Age  Edu  Years Employed  Income  Card Debt  Other Debt  \\\n",
       "0            1   41    2               6      19      0.124       1.073   \n",
       "1            2   47    1              26     100      4.582       8.218   \n",
       "2            3   33    2              10      57      6.111       5.802   \n",
       "3            4   29    2               4      19      0.681       0.516   \n",
       "4            5   47    1              31     253      9.308       8.908   \n",
       "\n",
       "   Defaulted  DebtIncomeRatio  Labels  \n",
       "0        0.0              6.3       1  \n",
       "1        0.0             12.8       2  \n",
       "2        1.0             20.9       0  \n",
       "3        0.0              6.3       1  \n",
       "4        0.0              7.2       2  "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"Labels\"] = labels\n",
    "df.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "We can easily check the centroid values by averaging the features in each cluster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "jupyter": {
     "outputs_hidden": false
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "      <th></th>\n",
       "      <th>Customer Id</th>\n",
       "      <th>Age</th>\n",
       "      <th>Edu</th>\n",
       "      <th>Years Employed</th>\n",
       "      <th>Income</th>\n",
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       "      <th>Defaulted</th>\n",
       "      <th>DebtIncomeRatio</th>\n",
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       "    <tr>\n",
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       "      <td>424.451807</td>\n",
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       "      <td>31.789157</td>\n",
       "      <td>1.576675</td>\n",
       "      <td>2.843355</td>\n",
       "      <td>0.993939</td>\n",
       "      <td>13.994578</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>426.122905</td>\n",
       "      <td>33.817505</td>\n",
       "      <td>1.603352</td>\n",
       "      <td>7.625698</td>\n",
       "      <td>36.143389</td>\n",
       "      <td>0.853128</td>\n",
       "      <td>1.816855</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.964991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>424.408163</td>\n",
       "      <td>43.000000</td>\n",
       "      <td>1.931973</td>\n",
       "      <td>17.197279</td>\n",
       "      <td>101.959184</td>\n",
       "      <td>4.220673</td>\n",
       "      <td>7.954483</td>\n",
       "      <td>0.162393</td>\n",
       "      <td>13.915646</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Customer Id        Age       Edu  Years Employed      Income  \\\n",
       "Labels                                                                 \n",
       "0        424.451807  31.891566  1.861446        3.963855   31.789157   \n",
       "1        426.122905  33.817505  1.603352        7.625698   36.143389   \n",
       "2        424.408163  43.000000  1.931973       17.197279  101.959184   \n",
       "\n",
       "        Card Debt  Other Debt  Defaulted  DebtIncomeRatio  \n",
       "Labels                                                     \n",
       "0        1.576675    2.843355   0.993939        13.994578  \n",
       "1        0.853128    1.816855   0.000000         7.964991  \n",
       "2        4.220673    7.954483   0.162393        13.915646  "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.groupby('Labels').mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "<em>k</em>-means will partition your customers into three groups since we specified the algorithm to generate 3 clusters. The customers in each cluster are similar to each other in terms of the features included in the dataset.\n",
    "\n",
    "Now we can create a profile for each group, considering the common characteristics of each cluster. \n",
    "For example, the 3 clusters can be:\n",
    "\n",
    "- OLDER, HIGH INCOME, AND INDEBTED\n",
    "- MIDDLE AGED, MIDDLE INCOME, AND FINANCIALLY RESPONSIBLE\n",
    "- YOUNG, LOW INCOME, AND INDEBTED"
   ]
  },
  {
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   "source": [
    "However, you can devise your own profiles based on the means above and come up with labels that you think best describe each cluster."
   ]
  },
  {
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   "source": [
    "I hope that you are able to see the power of *k*-means here. This clustering algorithm provided us with insight into the dataset and lead us to group the data into three clusters. Perhaps the same results would have been achieved but using multiple tests and experiments."
   ]
  },
  {
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   "source": [
    "### Thank you for completing this lab!\n",
    "\n",
    "This notebook was created by [Saeed Aghabozorgi](https://ca.linkedin.com/in/saeedaghabozorgi) and [Alex Aklson](https://www.linkedin.com/in/aklson/). We hope you found this lab interesting and educational. Feel free to contact us if you have any questions!"
   ]
  },
  {
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   },
   "source": [
    "This notebook is part of a course on **Coursera** called *Applied Data Science Capstone*. If you accessed this notebook outside the course, you can take this course online by clicking [here](http://cocl.us/DP0701EN_Coursera_Week3_LAB1)."
   ]
  },
  {
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   },
   "source": [
    "<hr>\n",
    "\n",
    "Copyright &copy; 2018 [Cognitive Class](https://cognitiveclass.ai/?utm_source=bducopyrightlink&utm_medium=dswb&utm_campaign=bdu). This notebook and its source code are released under the terms of the [MIT License](https://bigdatauniversity.com/mit-license/)."
   ]
  }
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