{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from timeit import default_timer as timer\n",
    "from utils import polynomial, plot_polynomial, polynomial_data, plot_linear, NUM_DIMENSIONS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part 1: A new dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's generate some data to try to fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(3)\n",
    "# 1 + 0.5 * x - 0.5 x^2 - 0.2 x^3 - 0.1 x^4\n",
    "coeffs = [1, 0.5, -0.5, -0.2, -0.1]\n",
    "x, y = polynomial_data(coeffs, 200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's inspect it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(200, 1)\n",
      "(200, 1)\n",
      "[[ 0.10159581]\n",
      " [ 0.41629565]\n",
      " [-0.41819052]\n",
      " [ 0.02165521]\n",
      " [ 0.78589391]]\n",
      "[[0.9658252 ]\n",
      " [1.111339  ]\n",
      " [0.68890753]\n",
      " [0.88078641]\n",
      " [1.21651879]]\n"
     ]
    }
   ],
   "source": [
    "# Good to look at shapes, some values\n",
    "print(x.shape)\n",
    "print(y.shape)\n",
    "print(x[:5])\n",
    "print(y[:5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x11101e2b0>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y, color='green')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part 2: Ordinary least squares"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's code up a naive solution to least squares here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def least_squares(x, y):\n",
    "    # TODO: Define least squares solution here!\n",
    "    xTx = x.T.dot(x)\n",
    "    xTx_inv = np.linalg.inv(xTx)\n",
    "    w = xTx_inv.dot(x.T.dot(y))\n",
    "    \n",
    "    y_hat = x.dot(w)\n",
    "    error = np.mean((y - y_hat) ** 2)\n",
    "    return w, error"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How well does it work?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "linear_coeff, err = least_squares(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7256854071479403\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y, color='green')\n",
    "plot_linear(linear_coeff)\n",
    "print(err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part 3: Polynomial features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def polynomial_features(x, order):\n",
    "    # TODO: Calculate polynomial features\n",
    "    features = np.column_stack([x**i for i in range(0, order+1)])\n",
    "    return features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_regression(x, y, order):\n",
    "    start = timer()\n",
    "    features = polynomial_features(x, order)\n",
    "    w, mse = least_squares(features, y)\n",
    "    end = timer()\n",
    "    plt.scatter(x, y, color='green')\n",
    "    plot_polynomial(w)\n",
    "    plt.title(f\"Polynomial degree: {order}, error: {mse}, time: {end-start}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How well does it work in other dimensions?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1rXakOl9VT1TVMlU9w9vuHyH7DZNrNPB4iFJQSmKl4Dyc/81LCc6nlcApme7i6l7FaYw9cSbB5bSstLiJOPM+znQ5nzjvTuJWHuBM9D/VFhPXQpznZ2+cJhWb9qgkzmSMu8lP8v1+EPixxpmkcF8hn+C0sxKcj0BjIvl9+xyG0wr3x13AB/3ngLshH6HF230AcIZv209xmnMv3IX0b9t87r7jJdpfFe5FdSTuJt4Op7VuHyR7wLkUe9fvIZzJryctzoyx/g0zPz7lybYD7mb+Ct60CAHmv5CylK5vhPPpj1P+LvDO5XYSr554A/c10xP38Kzz9iHevRH7d7gnywDvfinGfYU9GSQfbq57Le5hLsR9layhxSx5G/AyzolvX++eiK2eOBGnLB7s/T4Epxic7rv+u3syHuVdf7/z3C24l/DO3v5fxZvC8uRehDMLF+EsH5/jmf5x3ttrcYpLMc5p9VXfvv8IPIPztxmIW+lwpe+cv+LJtT9uBYTfefF671rvGtBfO8b19+s435+YU+zVON+B2LkvoLXD6is4q0cP3LO1ghbnupMATXIP+OWspO30hH+qpJVpHKfMLfL+3h5nLbvM679i797ZL+z4cbKE3hcBbc+k5T20I271yG1x59Xm3k62LUnuba9NT9y7RnFTiv4plUKv/mrvuvQEin31h3lt+uPeaw/56vbBWZpP9dp8BzeVUuLVF3n7uxVnre7pu06hz753X/jvr/E4RXxXr/403HNWiHuf/Qo3PvT06s/xrongFJCP8aYgcM/gcbj3QinwQ9wztbvvmVoNnBDSl1/15O2F85X7COgRRS6vTal33qeE7H8UbhyXkPq/4Kx00d6xEW7ixYQrDQNxL5A13oX1P8Q30VZp+DEBc9QkVhoKcAP6Utw85YM4ywC0T2koxJlTN+AezB/QenlpG/njZP4R7qELWj3RE+es8qG3/3eB//Jte71v27HetoPizz3uAU20vzNxg8Q671z+hKc04MxZkxOcx/3e8f3/Lvfqjvf6pDhk2z44n4pluJv2X8DI+L72tQ8qS+n6euULgJoE53QqbjBrwL3wK311rfrDO8ZLXtv3CL/XW8mCG9gV94Lb6PvnX4FzPG4+eCNuvt5f14OW+285cF3c8a7BDe6fe9f9u766E7zrssmTuSZu22Lc1Mo63H32K1q/ZA7AOfJ9gTMNnxe3/VjcS3EtbvAY5KvbAWf6/9y7ZjfQ4pewtyfPJtzAGX9OirNO+fvrv0P6+yVaD9SCm7JZ4/27A1p5nA/ATdtt9PrrW766y/D8MkKOdQ7OGXId7qUdf63jZQlVGrzf++D8PlbiBosXaFEAa4AFCWQJvS9wVriNQLmv7Dqv3QacY2aPqPd22LZEu7fj3xka95zH1/v766/e/bMGp+htFyfX+bh7f4Mn/wG+upsC9n1TlGc/0bsI9yX+H+88V3rXz7/Uc5p3LTd67fzv3xNxDpixc3oZn4KAm6bbFteXfp+Yn+OetY3AbFqPhQnl8tpU4563MKXgWQJWY/iem22kEC4g9rDnBHHBXMao6nE5O2gHR0T2w32R9dAEc+f5QER+DKxU1XvyLYthpIuI3Av8SVWfzbcshtHZyZnS4DlbvIBbNfHHnBy0gyIu4tcsWqYnmlT13MRbGYZhGEZ+yUnCKhE5A2daWY6bO+/ufAs35/oBzo8iqZOUYRiGYeSbnE5PGIZhGIbRebHU2IZhGIZhRKIoeRMjW/Tr108rKyvzLYZhGEanYt68eatUtX/ylkamMaUhj1RWVjJ37tx8i2EYhtGpEJH65K2MbGDTE4ZhGIZhRMKUhoiIyH1e1r+3k7Q7XES2iUibuOSGYRiG0ZkxpSE69+MiL4bixTC/HReW0zAMwzC6FKY0RERVX8GFCE3Et3GpuMPyqBuGYRhGp8WUhgwhIgNwSWHuTtJujIjMFZG5K1euzI1whmEYhpEBTGnIHHcCP1TVpkSNVHWKqlapalX//rZiyDAMw+g82JLLzFEFTBcRgH7AcBHZpqpP5lcswzAMw8gMZmnIEKq6h6pWqmol8CgwzhQGw4hGbV0tlXdWUnBzAZV3VlJbV5tvkQzDCMAsDRERkWnASUA/EVkG3AgUA6jq5DyKZhidmtq6WsY8PYZNWzcBUL++njFPjwGgZkhNPkUzDCMOS1iVR6qqqtQiQhrdnco7K6lf3zbAX0WfChZfuzj3AhkdHhGZp6pV+ZajO2LTE4Zh5JUl65ekVG4YRv4wpcEwjLxS3qc8pfIwzC/CMLKPKQ2GYeSViUMn0qu4V6uyXsW9mDh0YuR9xPwi6tfXo2izX4QpDoaRWUxpMAwjo6T6xV8zpIYpZ02hok8FglDRp4IpZ01JyQlywpwJzY6UMTZt3cSEORPSOgfDMIKx1ROGYWSMdFdC1AypaddKCfOLMIzcYJYGwzAyRr6++DPlF2EYRmJMaTAMI2Pk64t/+ODhKZUbhpEepjQYhpEx+pb2Tak8U8xaOCulcsMw0sOUBsMwOj3m02AYucGUBsMwMsaahjUplWeKbPs0WAwIw3CY0mAYRsbIl0NiJmI9hGExIAyjBVMaDMPIGNkcvBORiVgPYVgMCMNoweI0GIaRMWKD9IQ5E1iyfgnlfcqZOHRiTrJVtjfWQxjmL2EYLZjSYBhGRsnW4J0vyvuUB2bhzFUMiNq62rwoYYYRhE1PGIbR7Unk6Dh88HAEadU+F1MuMbnMn8LoSJjSYBhGu4i6sqCjrkBINDDX1tUy9a2pKNrcXhBGHzQ6J1/75k9hdDRsesIwjLSJmmsi3ZwUuSDZwBxfp2jOgkZl2p/CpjqM9mKWBsMw0ibql3BH+WL2Wzv63dGPfnf0C/RXAKfYhNXlygkyk0tYbarDyASmNBiGkTZhg2f8YNsRViDED5qrG1azumF1wm3ifRli5MoJMpNLWDuK4gbA++/Dn/+c++Ma7caUhgiIyH0iskJE3g6prxGR+SJSJyKvi8hBuZbRMPJB2OApSKsv2I6QhTJo0EyGonlzgoTMxp/Iu+K2bBn87/9CVRXssw9ccQU0Nubm2EbGMKUhGvcDZyao/wg4UVWHAD8BpuRCKMPINxOHTgz8Gle01RdsvoI++Ul3cFQ0K0GjolIzpIbF1y6m6cYmFl+7OO1j50VxW7UKJk+GE0+E8nL43vdg3jzYfns4/XTYsCF7xzaygikNEVDVV4DQ4Pmq+rqqrvV+vgEMzIlghpFnaobUtFpZ4Mc/SAd9MY8+aDQT5kxIezVFqqsx0h0cK/pUZGTQzjc5U9w+/xwefBBGjIDddoOxY+GVV6CkBC64AB59FJYvh6lTYaedMntsI+vY6onMcyUwO6xSRMYAYwDKy3NnmjWMbFHRpyJS8CN/0Kf2rqZIZ/uJQye22iYKubaGZJOsRuvcvBlmz4aHHoJnnoGGBldeWAhnnAHV1XDuudCnT/uPZeQVUQ3+SjBaIyKVwDOqemCCNicDk4DjVDWxhxVQVVWlc+fOzZiMhpEP4gdwgJLCErYv2Z41DWsCB6fKOysDFY3YV30y0t3ev+Rwu5Lt2LhlY2jbij4VtiQxEdu2wYsvwrRp8PjjsH59S92xx8KoUXDhhbDzzhk/tIjMU9WqjO/YSIpZGjKEiHwVuBcYFkVhMIyuQvwXbN/SvmzYvKF5ZUKQFaC9TnmJVm3IzUKhFDLmsDFMGjGpjawxGSrvrEyoNBgBqMIbbziLwiOPwIoVLXUHH+wsCpdcAhUV+ZPRyCqmNGQAESkHHgcuU9X38y2PYeSa+ME4filjbGlfrE178zmEbR+jURu5e+7dAG0UhxjJFJSOFIAq79TVOUVh+nRYvLilfK+9nKJQXQ377Zc38YzcYY6QERCRacDfgH1EZJmIXCkiV4vI1V6TG4AyYJKI/FtEbM7B6LZEsSK01ykvaPsgpswLX8jUt7Rv0u27dcjmDz+EiRPhwAPhq1+F225zCsPuu8N118Gbb7p4C7fcYgpDN8IsDRFQ1eok9VcBV+VIHMPo0ESxIrTXKS9++7AVHI0aHAegtq6WdV+ui3SsbpUC+9NP4eGHnZ/CP/7RUt63r/NPqK6G4493Do5Gt8QcIfOIOUIaXZEgx8hexb2yGt+g6JaiQAWhUArZdsO2NuX97uiXNBpkjKjOmfmkXTkl1q6Fxx5zisKLLzq/BYDttnMrHqqr4bTT3JLJDoI5QuYPm54wDCOjZDKKYVTGHDYmpfKoCkOiKZNxM8dRdEsRcrNQdEsR42aOa9MmF5k908op8cUXzj/h7LNhl13gm9+EF16A4mI45xxXt3x5S7yFDqQwGPnFLA15xCwNRnuxrIUtjJs5jinzptCojaGrJ2LIzcE5JcBZFpL157iZ45odLf2MrRrbfMxcWVwiLz/dsgWefdZZFJ56CjZ5chUUwMknuyWS553XKQIumaUhf5jSkEdMaTDaQzrxEQxH2PRE75LelJWWJVUaokyHtDcWhZ8g5RCcT0fYKhJBaPrxVheNcdo0F4lx7dqWBkcd5aYeLr4Ydt01JXnyjSkN+cMcIQ2jkxKUgGlL45aE8REMx13D7uIbT32DLY1bmsuKCorYvG1z8yCcqP/CHCz95ZlKEBUU/fKKJ69ARFrJ34zC4R/Dt97vDfcMcs6NMQ480CkKI0fCnnumJIdhgCkNhtFpiTL4xMdHiEpXn/YIWr2xccvG0PgSAONnj0/qC1EgLW5i7Y1FESNIOdzatLVNu/1WQPXbUF0He60F+Nz922OPllgKB4YGtDWMSJjSYBidlGQBjmIkUi7CzN7tyQvRkYidX/36egqlkEZtbBUe2n8+BTcH+4XXr69vY5UIRd0xa4bUBOa6SCeXRaLrV7EWRr7tlIWDlreUN5T1obRmtFMUjjwSJNyHwzBSwXwa8oj5NBjtIcinIYiwOfQwR73SotLAL+rOsPTQT6L+KS4oZoceO7Ty/QjzD4gpG1Hx91MmLDbxvhE7b4SLFjhF4dilLe3W9YA/H9ybkROfhJNO6tKxFMynIX+Y0pBHTGkw2ot/UIrlfPCbrhN566cSqwA8x7obmzIidy4Ic0QMoldxL0YfNJqpb01to0SlkhUTMt9PtXW1fO9P3+SM+Q2MqoOhH0Gh99reVAQz9oFpQ+CV/Ur5zXm/63TWoHQwpSF/2PSEYXRi4k3sUb9sa+tqU1IYIPW5+HyTisPhpq2bmLVwFlPOmtKq/4YPHs7kuZNDI04GkbF+amiAZ56hZtpjjJy5jUJvdmRrAXx2/MEsHnYM35Sn+c+XyyjvU85vupjfidExMaXBMLoQ8UpEGMnyKZQUlrSaw09nLj6XBClLUX0+YixZv6RN/1XeWRmqMBRKIQVS0May065+2roVnn/eLZF84gnYuNE7lrgph+pqii+4gAFlZQwA3uG36R/LMNLAIkIaRjck2Vf49iXb5zSiY3sIi4g4fPDwSEmtYgRZCBL109TzpvKHc/8QuZ9Co0M2NblYCmPHumRQw4fDAw84haGqinnfG8WRN+xOwUkvU7npZ9R+8ufI52QYmcZ8GvKI+TQY+SLZfH9n8l9IFETJ7+AYc2gsKy3j8y2ft7GkBA34mQrQ1MYpU+GYlT353RensP+c+bBsWUvjffd10RlHjqT2y3+0ceYUBEWbzydoVUhXx3wa8ocpDXnElAYjXyRbeZGJlRK5ivVQcHNB4BRCIsUnFd+PoEH7lD1OYdGaRZHPLaZ8DF7lVj2MqoN9/C4l5eUu4FJ1NRx0UPMSyVScOSH7icE6CqY05A9TGvKIKQ1Gtkk0ONbW1QYGLMrEwJPNvAvx5xQUlAkyt0R03MxxSZ0hE57b0qV8/8pyRr4Nh/mCM67oBX86AP7fL/8KRx/tckDEEaYQJaKzLY1NB1Ma8of5NBhGFyVZ9sOaITWs+sEqHjz/wYz7LwRFMfRHV0yXoHP6fMvnFBcUt2oX1SExShbKWQtnJR2425zbqlUweTKccAKUl/Pz55zCsKEE7j8IzrgUdv8u/HxUBRx7bKDCAOmtxEg1TLVhpIKtnjCMLkrYwD1+9vg21odMf5lmKu9CPGH5NspKy+hd0julqZCgnA5BkS+jyrxmRb1zYJw2DZ57Dra5xFX06MGS47/KD3d+iyf22MJmT7+JotgERZW0i3hwAAAgAElEQVRMRmdbGmt0LszSYBhdlLDBbnXD6lDrQ6YIG7jaO6CFndOahjUsvnYxTTc2NStAySwIUa0hiWTusRXOfRcefgRW/ELg61+H2bNBFc48E6ZOhRUrKH/uH3ztR/exa7/ULDo1Q2qYctYUKvpUJGwXo6MvjTU6P2ZpiIiI3Ad8DVihqm2yvoiIAHcBw4FNwOWq+s/cSmkYLUSNU5BuUqtEZCrvQjxRkkC114IQXx5/LoWNcMpHzqHx/Hehz+ZYS4XjjnPOjBddBP37t9pP1Bga8cS2CbM4dMfVE0b+MEtDdO4HzkxQPwwY7P0bA9ydA5kMI5SJQydGjlOQ6Xlw/xdyJn0lgs4pXhlprwUhvrxmSA1TvnYP563ZhV/Pgk9/WcBfHoQr/u0UhrcHlPDP74yE+np49VUYN66NwtBegs4JnNPjthu2oTcqi69dnFGFIczfI4ofiNF1MUtDRFT1FRGpTNDkHOCP6pajvCEiO4rIbqr6aYJtDCNrxKd/7lval7VfrqVJ2y5DTGfaINmyxXS/rBMRlNI6/rjpWhAgTgFRhbo6mDaNmmnTqKmPpZFsgsGDm9NNH7jvvpk7wRCy5SMSRpi15rUlr7XKz9GZM6Aa6WFLLlPAUxqeCZmeeAa4TVX/6v2eA/xQVefGtRuDs0RQXl5+WH199DXYhpEuieIypLMUMmx/gnB11dVMGjGp3TKnSyoBmQIVn15HOWfGadPgnXdaGg8Y0BJL4dBDU0o33d6YFZkKMtXe44Vl/Mz1Mk9bcpk/bHoix6jqFFWtUtWq/hk2YRrdm9q6Wvrd0Q+5WZCbhX539Gs2HYeZtwulMKnCEGSODtufotw9927GzRyXuRNLkShTGDFqhtQ4B8pvLmMx11Jz5V2w117wP//jFIa+feFb34KXXoIlS+AXv4DDDktZYUi09DXT55QJwiwYYSnCbZln98GUhszxMTDI93ugV2YYGSHRXHJtXS1XPHlFqyBHqxtW842nvkFtXW3oS71Jm5IqDEEDXjIHy7vn3p23+e7I/hRr1sDvfgennAIDB8J3vgNvvgnbbQc1NTBzJnz2mYu3cOKJobEUkpGJmBXxqygKpbB5H9no47DpqkIpTKm90fWw6YkUSDI9MQK4Brd64kjgV6p6RKL9WURIIyrJIiwmCjccG2jSMW+naqaOp8OFNf7iC5gxw009/PnPLqskQEmJSxRVXQ1f+xr0ip7oKhmJojo+eP6D7Z4WStTH8dMiwwcPZ9bCWWmFz+5V3IvRB41u5dOQ7PjZwqYn8odZGiIiItOAvwH7iMgyEblSRK4Wkau9JrOAD4FFwO+A/NlnjbyRLc/yRIGaILF5eMn6JaHm7eGDhyeUN5GZOsrKjExEgWwv0/45lauu2plpQ4RNfbd3yaCefhoaG+HUU+H3v4fly10q6osvzqjCAIm/wlOdpohqtYhNVV36+KWtrER3z7070jRJmLVm0ohJWVkVY3QezNKQR8zS0LXIZr6FZF+rsUyOQcSsCUFfncm+GpNlkLz6mavZuGVjQtnzkjGzsRFefplFv/0JfWe/RN+Glqo3ygsoHHUph4+/HXbdNeuiZDI5WJTkXMmO157jdxTM0pA/zNJgGBkiW/kWIPHX6oQ5E5g4dGKb/AsAJYUlzc5yzU5/XtTEWQtnJZU3kQNezZAaPr/+c8ZWjQ2d604me0ZRhX/8w/kmDBoEQ4ey1+NOYZi/M1w/FPYYD0d/o4mLdnk5JwoDtHy1h5GKE2GU2BJhTqphpJJF0zBMaTCMDNHetfSJpjYSecnXr69nwpwJbG3aitDi1V9WWsZ959wXauWIIm8Up8JJIyax7YZtPHj+gzn18G9mwQL48Y9d7IQjj4Q774RPP4U99uBnx8OBY+GgcXDb8bB4p7bnmAtqhtSEhoJORamKsooi1XMTxAI0GZExpcEwMkR78i1EyUhZVloWuK0gzV+LitKruBcPnv8gq36wKuG0SCoREScOnUh5n3KWrF8S6rGfrSiQgSxeDLfdBl/9Khx4IEycCB984KwH48fDG2/ABx8w5fwKFuyS/BxzQXuXTfqXusYsO0F9nOq5KcroJ0ab4mBEwpQGw8gQ7RkUokxt3DXsrjb7F6TNHLd/KV4iJ8eo8qYSZyB+CiRKpsnIjqPLl8Ovfw3HHAN77AHXX+8iNu64I1x5JcyZA8uWOUvDkUeCSM7jGySiPUqV/xpAiyNq0OqHsPDhBRL+um/UxqwkLjO6HuYImUfMEbLrkW7kv6gObuNnj2+OxVBWWtYqLkM8vYp7JXXKjCJvtqIRRnIcXbfOrWqYNs0pBU2eQ2VpKZxzjlsiecYZ0KNHwuO0JxpjRyDVa+A/576lffl8y+dsadyS9DidxSnSHCHzhykNecSUBiP2co+y8iFogC0tKg1UHDIZ7jeKQpMOYQPhPqWD+E/lL5yiMGsWbPEGu6Iil266uhrOPht690772J2N9lyDRDE8ghAkpZgO+cCUhvxhCasMI08kWxrnN6OHTV+UFpUGWhTC9hkbPFL5+o6Sjjod/A57RY1w2gcu3fS5/1kKWy5xFSJw8slOUbjgAhfWuRsS9RoELatNdXWEP6ZDjPjEVF3BemOkhykNhpFhor5QEy2Ni8VBiG0X5hG/pmEND5z/QLO1IhZeOMzSIAjjZo6LnKmwtq42MA5DJvwCKrYfxKC6JVS/DRctgH6+WAocfrhTFC6+2CWK6uYkzchJcGZK/8AfT5A/TCL8PjZBGTDBMl12B2x6Io/Y9ER+CBvUM/H1lEqAp1RMzsnmtFMJ6BN16iJsn2WlZdw17K70BghV+Oc/Ydo0vnjwD2y3fE1z1Tv94NGDijnoO7dyzojvpr7vLo5/Kit2Df3KZSrTELGQ0LHph6jKQ2zqIpcZNwPlsOmJvGFKQx4xpSH3BA2EsS+u+C+vdKI5puKwlmoK53RzT0QlXlnJqAPke++1pJt+//3m4o279+OBfbdwz94bWLd3ORNP/Vmn+1rNpal+3MxxTJ47OfA+vezxyyIP/vE5L6LePxV9KkKVDEGarV7Z7gtTGvKHKQ15xJSG3JPq4JrqAJko3HPshRt7mQJJrRLxXvDgpiTiX8iJjhtPVEtDux0gly6F6dOdovCvf7WU9+/vph1GjYKjjko7e2RHIJuhw4OOFaYYJEpKFtQ2ilIaT+y8whx3y0rLaNjWkJO+MKUhf3Tep9Uw0iDVaHmptg9zDowFYIo5mV32+GW8tuS1hOv24+MjrG5YTcO2Bh44/4E2MRCiOiUWFxQz5rAxkWIXpBWsauVKuPtuOOEEKC+HH/zAKQw77ACXXw7PPguffAK/+Y2Lt9CJFQbIbujwoGOFKYZhScniCfNFCYohMbZqbOC9GRb7AshZXxj5wxwhjW5F2HxsovapEOSwFuRwpiiT507m2PJjQy0ZiQakoIA+UXwaduixA5NGTOLY8mOTmpGjON8BsGEDPPmksyg895xLFgXQs6dLM11d7dJO9+yZULbOSHtDh2fiWODu09j1SycVNjjFIYpFIOg4E4dO5LLHL0tZbqPzYdMTecSmJ3JPKg6D6ZpW4+e4EykpiaY/Up0e8B837Is01dgKofP1X37pYihMmwbPPON+A9sEXt23Jz0uvZxjrrndWRi6MO31+0jFHyLsWDFfgnz7gmQrCFgQNj2RPzq3bdAwUsRvhgVaJXjy/25P3oT4UMphiYog+ddjKuX+42YiOVL8Phdfs4iaT/vDFVfALru4uAmPPgpffslfKwsYOwJ2+x6ccsmXnMYfqa1/OqVjdUbaE6Y6lfDcYccShKurrs67wlBbVxsanXT44OE5lsbIJqY0GN2O2ECoNyoPnP9Aq3nbB85/AL1RI+VNiMrEoRPbKCcxEg3i7RmQMpZzoakJXnsNrrnGxUs44wy4/343JXHIIXDHHRxzwwCOv7yJyYfDqu3cZt1lLrs9+SRS9YcIOtYD5z/ApBGTUpI5pXwfEfc35ukxgfE8AGYtnNWu/RsdC5ueyCM2PdF9GDdzXJtAOyWFJQlTV0P7lvOlva0qzJ/vph6mT4d6n8l5772dj0J1NeyzD5C9MNNdnXz0WzZWeyRbkZSN87HpifxhjpCGkQOOLT+We/95L1ubtjaXRVHYozqnZWTbRYtaYim8+25L+YABMHKkWyJ5yCEutLOPbIWZ7urko99Sca71k0gBTeboaPdB18KmJyIiImeKyHsiskhEfhRQXy4iL4rIv0RkvojYRJ7RzIQ5E1opDABbm7bm34T/ySfwy1/CEUfA4MFwww1OYSgrg6uvhpdfhiVL4Be/gEMPbaMwQAanQroZqfRbpqYU0lntkcz3IplSYD4NXQuzNERARAqB3wKnAcuAN0Vkhqq+42v2Y+ARVb1bRPYHZgGVORfW6JCEvZTr19dTeWdlbhP+rFkDjz0GDz3klIKYxaN3bzj3XDf1cNppUFwcaXdhS/Dy7ZzX0Ynab0E5JdLN9ZCOdSOZ78WqTasSHtN8GroW5tMQARE5GrhJVc/wfl8PoKq3+trcA3yoqrd77f9XVY9JtF/zaeg+JJv3zVbkvGY2boQZM9zUw7PPwlbP6lFSAiNGOEVhxAjolTg4kJF7MrmUMR2fhkTRRhNlVI1hPg1dC5ueiMYAYKnv9zKvzM9NwKUisgxnZfh20I5EZIyIzBWRuStXrsyGrEYHJFm0vqysNti82SkK1dVuiWRNjYup0NjIp0cfyPdHlrHTd7ZQecI/qd13iykMHZRMBpBKZ7VHmBUillE1GebT0LUwpSFzVAP3q+pAYDjwgIi06V9VnaKqVapa1b9//5wLabSPdOeW4+NDBJGRyHmNjfDCC3DVVbDrrnDOOW4FxKZNcPTR8Ktf8dicX7PX1z7kF/uuZl0pSeMDGPklrXDeCYiPI5LMuhXmexGUvySIjVs22r3VhTClIRofA4N8vwd6ZX6uBB4BUNW/AT2BfjmRzohE1AE/rF2qwXjiicXtL5TCwPq0v8hU4e9/h2uvhUGDYOhQ+P3vYd06+OpX4dZb4aOP4PXX4dvf5rv/vsNyBHQi8u1oGmadSKQA+1ndsNqU0i6E+TREQESKgPeBoThl4U1glKou8LWZDTysqveLyH7AHGCAJuhg82nIHVHnchO1C8vul0rI4LAQ1mn5NCxY4JwZp0+HDz9sKd9zz5ZYCgcc0GYzi6vQ+chl+u1UZAq6nwukgCZtex9lMpy0+TTkD1MaIuItobwTKATuU9WJInILMFdVZ3grJn4H9AYU+IGq/iXRPk1pyB1RnckStUuW0yHd3AGFUsjU86ZGGwQ++qgl3XRdXUv5rru6WArV1XD44YFLI5PJkY0cAUbXJkiZCUvfnUml1JSG/GFKQx4xpSE6QS8niL7ML+rXdaJ2UTJkJrIYpP2Fv3w5PPKIsyq88UZL+U47ufwP1dVw4olQGDztEU/QF2Ish0GqIYkNI55cKKWmNOQP82kwOjxBvgRXPHkF33jqG5H9C6I6kyVql2wFBCT2DUjJoW3dOrjvPhcvYffd4b/+yykMvXo5i8KMGfDZZ/C738Epp0RWGMDNUY8+aHSrfBiKMvWtqTbvbLSbfPtgGNnFlAajwxMUXGZr01a2NG5pVZZowE70IvM7Pm7cspHigtZBjYoLitm4ZSOXPX4ZpUWllJWWhSagArcaIcjZMunLdNMmZ1E47zy3RPLKK+H5551CcNZZztKwYoWbmjjrLBdjIU1mLZzVxuphzpBGJmhPEi+j42MRIY0OTypLEcPahkXfA1qZ6mPpfbcr3o5NWzfRt7Qvn2/5vLl8dcNqehX34oHzHwh1jARaWT9ixw+S4Wcn3MyopTvB7ZfCU0+5IEzgfBJOPtlNPVxwAfTtG7kPopDJtf+GEU97cqYYHRvzacgj5tMQjWTRFP2kOm8atm9BEioGFX0qmDh0YuhqiIQyNTXBq686i8Gjj8Lq1S11RxzhFIWLL3bTElnCnCGNzoz5NOQPm54wOjxRfAkgvXnTsC9rRZstAmHbxZthEx5DFebNg+9+F8rL4aST4J57nMKw//7wk5/AwoUt8RayqDCAzTsb2SVTCbaMjodNTxgdnpiZc/zs8c3TBDEEQdHmL/9MJfABmqcQEiX48Zthg77e91kJYxfuAPvs45SCGBUVLbEUhgxJuEQyG1iSKSNbZDLBltHxsOmJPGLTE6mRDZN6bV1t6LrystIy7hp2V+QEP7GXZd9Vmxj5NlTXwaGf+RrsvLObdqiudiGdc6woGEYusCWXXRuzNBidhmw479UMqeG1Ja9x99y729StbljN+NnjGX3QaGYtnJX4i3zlSmpeXc9pjw5k53+931y8pXcpJRdeAqNGOcfGInvkjK5FfAyVRJY7o/NjbzCj05BsqiBV/C+72DRHPKsbVjP1ranBS8Y2bIAnn3QOjc89B42N7AzQs6dbElldTcmwYe63YXRBgqYiwp4ly3bZNTBHSKPTkEnnvfiAUWHhoSEufsGXX8Ljj8OFF7pYCqNHw5//7OqGDYM//tHFUojFWzCFwejCBMVQUbSNY7A52XYdzNJgdBoy6bwX9LILo7AR9p1XD5dfDk884SwMMU44wfkoXHgh9LOkpkb3ItHqo1i+FnOy7VqY0mB0KjIVNCbZ/Ko0wdHLYFQdXLQAdt4EMNVVHnqoUxQuucSlok6Bjpit0DDSJWzK0OJ9dF1MaTC6JYEvO4VDlguX1Ckj34aK9S1VGyp2ZYcrrnZ5H/bZJ61j2lI0o6sRFODMpiK6NubTYHRL/P4RX1kNP34ZFvwW/jlZ+eFrTmFYugPcc/IOzJr+E56e8XMq+/yBgun7pR2sJmhKxPI9GJ0ZyzPR/bA4DXnE4jSE014zftLtP/6YeXf+gILpD3PIssbm4lWl8MSQIirG/ojTv34zFBQEppJOlAI7jLRTYxuG0QqL05A/bHrC6HC014wftn3Jus+56N0Ct0Ty5Zc5zFOYPy+BJ/aFaUPg+T1hW+E2KtY9wOKCnwCJLQSpKA2ZXjJqGIaRa0xpMDocqQzSQRYF//bbbYaz34NRdZs443/GQuyDvkcPGD6ci4ue4Om94cvW2bBbOUpmKqiUzf8ahtHZMaXB6HBEHaTDLArbGjZx9iIXxvns96DXNte+UYDTT3crH847D/r04R93VvJlwNd/gRRQcHMB5X3K6Vvat03OC0jdQmD5HgzD6OyYT0Me6a4+Dcn8DcJi1xdKIVPPmxqYIKqgCU5a7BSFC96Fnb5s2e61QTDtQHjj6IHM/Z+lbWRJlt66pLAEVWVr09ZW5bHcFDboG0ZuMZ+G/GFKQ0RE5EzgLqAQuFdVbwtoczFwE6DAW6o6KtE+u6PSEMWpMNFAXlxQzA49dmBNwxpUlSOXQfXbcPEC2G1jS7u6XYUHD1QePgDqd0rsuOhXYgqkgEZtbNOmrLQMoI3FIR2HSMMw2ocpDfnDlIYIiEgh8D5wGrAMeBOoVtV3fG0GA48Ap6jqWhHZWVVXJNpvV1cawvwNogSDqa2rZfQTowMH8AOWO0Vh5NvwlbUt5Yt2cs6MLx+9G1fU/DytaYBEKxwskI1hdAxMacgfpjREQESOBm5S1TO839cDqOqtvjZ3AO+r6r1R99uVlYYwi0LYNEDQskP/AF651k09VL8NQ3yq2Ce94eED4aEhMHd36FXSvi//RGl9l6xfYksmDaMDYEpD/rDgTtEYAPgnw5d5ZX72BvYWkddE5A1vOqMNIjJGROaKyNyVK1dmSdz8E7YColAKA9sHORUeJgP49hvw+r3w0V3wsxecwrCmJ0w5FE4eDYOug+vOhLkDoKCggNKiUi57/LK0AzANHzw8NNlOmOOjLZk0DKO7YKsnMkcRMBg4CRgIvCIiQ1R1nb+Rqk4BpoCzNORayFwRtgKiURvbWBxaLTtct85lkXzoIf7+4scUeB/wXxTDU/u46YdnvwJbA+7cJm1q9jlIJ0RzbV0tU9+a2sqaIAijDxrdvA9bMmkYRnfGLA3R+BjwZyYa6JX5WQbMUNWtqvoRzgdicI7k63CEfX3Hwsz6w87+/tRfU/NOEZx7rks3feWVMGcOBYVFLD3pUL59WT92+T7812Vl/GX/kkCFIYhUQzSHpfmdtXAWYCFzDcMwzKchAiJShFMChuKUhTeBUaq6wNfmTJxz5GgR6Qf8CzhYVdsu8Pfojj4NzYPs1q3wl7+46IxPPglffAFAk8CLlfCXI/pSdc3PuOi4b7Xa5/jZ4wNjJoSRir+BhXk2jM6B+TTkD5ueiICqbhORa4BncUsu71PVBSJyCzBXVWd4daeLyDtAI/D9RApDVycwkNHJP6Fm9QD41rfg0UdhzZrm9qsO/Aq3VyzhwX238tn2AGvo9cp1bOnTm5ohNYFKiCAoSllpmVuCGTDgp+JvYGGeDcMwEmOWhjzSlS0NzajCvHnOovDww/Cxb1bngANcdMaRI6l8emjC5YxhqxrKSsto2NYQuCoj1RgKmUpMZRhGdjFLQ/4wS4ORHd591ykK06bBokUt5ZWVTlGoroYhQ5qLwxwn69fXh04bQNtgSzEKpTDlwd7CPBuGYSTGLA15pMtZGpYsgenTnaLw73+3lO+yC1x8sVMUjjoKRNpsGmZJSBfzQzCMrotZGvKHrZ4w2sfKlTBpEhx3HFRUwA9/6BSGPn3giiucs+OyZfCrX8HRRwcqDOAyQPYq7pXSoXsV92oO7xxPgRSkFafBMAzDCMemJ4xQQhNLbdgATzzhLArPPw+NXqjnnj3h7LOdRWHYMJd+OiLxUwNh0xHQEtI5Fh8hKE9FozamHKfBMAzDSIwpDUYg8U6By1fVM/PWb3D8yrsof3U+bN7sGhYVwfDhTlE45xzYfvu0j1kzpCYwg2U8foUi1j4oT0UsToMpDYZhGJnBpieMQCbMmcDmLzdxxkK4/wlY/nN4aNoWyp9/E7ZsgRNOgMmT4dNPYeZMuPTSSApDbV0tlXdWUnBzQcJQz8mmK2IRH2vraqkZUkOTBvsvxDtYRj2+YRiG0RazNBitaWqC11/n+w/Vc9EC2Nln9Z+7G0wfAr/4/RIYODDlXcdbLxKFek5kQYjhtyREibGQyvENwzCMttjqiTzSYVZPqMJbb8FDD7nVD0tbcnP9p8zle5h2ICzs17400IkySIbtM9FyS2hZJZEo+FNFn4qU0nIbhtGxsdUT+cMsDd2ZhQtbYin85z/NxR/vWEjt/o1MGwL/3hViSR8FaVdyprBYDGHlEB6l0V8PrR0p69fXNysM0GJRCEvLnej4hmEYRgvm09Dd+Phj+L//g6oq2HtvuPFGpzD06wdjx8Irr1D+X4388HT4927gzxKtaLvM+H1L+waWJwrTnMi3IT7DZM2QGhZfu5iKPhVtrBOppuU2DMMw2mKWhu7A6tUu18O0afDKK246AqB3bzj/fLfyYehQKC4GYNC8ilAzfrrU1tWyYfOGNuUlhSUJrRfxFoRCKaRRG5unHIKUmLTTchuGYRgJMaWhq7JxIzz1lFMUnn0Wtm1z5T16wIgRTlEYMQJKS9tsOnHoxMAcDO0ZXCfMmcDWpq1tyosLipNaL/xLMaMQNqXh922wMNGGYRipY0pDV2LzZpg92ykKTz8NDQ2uvLAQTj8dRo2Cc8910RoTkI0cDGF+CV9s/aJ52WSmSKT0pKqAGIZhGC3Y6ok8kpHVE42N8OKLTlF47DFYv76l7thjnUXhootg553bd5x2UnRLUejSyWysXgiNZmkYRqfHVk/kD7M0dEZU4e9/b0k3vXx5S91BBzWnm6YifR+ETBOmMEB2Vi+YRcEwDCPzmNLQGfnv/4bbbmv5vddeLemm99svf3IloKJPsHMl2OoFwzCMzoItueyMDBsGu+8O3/kO/OMf8P77cMstWVMYMhF6eeLQiZQUlrQpLy4ottULhmEYnQSzNHRGjjsOlixxDo5ZJlOhl2Ntx88ez+qG1QCUlZZx17C7bBrBMAyjk2COkBERkTOBu4BC4F5VvS2k3QXAo8DhqprQy7HDhJFOQDqhnw3DMLKJOULmD5ueiICIFAK/BYYB+wPVIrJ/QLvtgfHA33MrYfZIJ/SzYRiG0TUxpSEaRwCLVPVDVd0CTAfOCWj3E+B24MtcCpdNwpwUw8ot9bRhGEbXxZSGaAwAlvp+L/PKmhGRQ4FBqjoz0Y5EZIyIzBWRuStXrsy8pBkmKPdDWHTImP9D/fp6FG32f0ikOJiSYRiG0XkwpSEDiEgB8H/Ad5O1VdUpqlqlqlX9+/fPvnAhRB2sa4bUMOWsKVT0qUAQKvpUMOWsKYHOixPmTGiTSXLT1k1MmDMhVIZUlQzDMAwjf5gjZARE5GjgJlU9w/t9PYCq3ur97gN8AGz0NtkVWAOcncgZMl+OkPErIsBZD8KUgagU3FzQJrskuJTaTTc2tSk3J0vDMNLBHCHzh1kaovEmMFhE9hCREmAkMCNWqarrVbWfqlaqaiXwBkkUhnySqkUgKqn6P5iTpWEYRufClIYIqOo24BrgWeBd4BFVXSAit4jI2fmVLnXCBuX69fX0u6Nf2v4Fqfg/QOpKhmEYhpFfTGmIiKrOUtW9VfUrqjrRK7tBVWcEtD2po1oZIPGgvLphddr+Ban4P0DqSoZhGIaRX8ynIY90JJ+GMLLtX2DZKA3DSBXzacgfFka6GxIblC99/NKkbbPtX2DZKA3DMDoPNj3RTakZUkNFn+Sps82/wDAMw4hhSkM3JsinwI/5FxiGYRh+TGnoxsQ7LvYo7NGq/uiBR9vUgWEYhtGMKQ3dnJohNSy+djGn7HEKmxs3t6qb89Ecxs0clyfJDMMwjI6GKQ0G42aOY85HcwLrpsybkmNpDMMwjI6KKQ3dnNq6WibPnRxa36iNOZTGMAzD6MiY0tDNmTBnQmC+iBiFUphDaQzDMIyOjCkN3ZxkcRjGHDYmR5IYhmEYHR1TGrooUVNfJ4rDMHSPoUwaMSlbIhqGYcWC9W4AAAxuSURBVBidDFMauiCxMNH16+uT5pEIitUgCGOrxvL815/PlciGYRhGJ8CUhi5IWOrr0U+MbmN5CEoy9cD5D7SyMES1WgS1i7qtYRiG0fGxhFV5JFsJqwpuLkjo3Agu2mOiDJQxgpJbBW0b1K64oBgRYUvjlpSPaxiGEYYlrMofZmnogkTJF7Fp6yYmzJmQtF2Y1SJ+26B2W5u2tlIYUjmuYRiG0fEwpaELkiynRIwoGSzD2sSXp5INM9uZMw3DMIzsYEpDFyTeTyEs1kIUi0RYm/jyVLJhWuZMwzCMzokpDV2UWE6JphubmHre1DaWh6gZLMOsFhu3bGzl1BjUrrigmJLCkrSOaxiGYXQ8TGmIiIicKSLvicgiEflRQP11IvKOiMwXkTkiUpEPOYMIWiER1Rkxtm1ZaVmr8tUNq1st4ww6xh/O/QP3nXNfWsc1DMMwOh62eiICIlIIvA+cBiwD3gSqVfUdX5uTgb+r6iYRGQucpKqXJNpvtlZPZIPKOyupX1/fpryiTwWLr12ce4EMw+i22OqJ/GGWhmgcASxS1Q9VdQswHTjH30BVX1TV2PKBN4CBOZYxq0R1iDQMwzC6LqY0RGMAsNT3e5lXFsaVwOysSpRjojpEGoZhGF0XUxoyjIhcClQBPw+pHyMic0Vk7sqVK3MrXBrEIjrWr69HkFZ15tRoGIbRvTClIRofA4N8vwd6Za0QkVOBCcDZqro5aEeqOkVVq1S1qn///lkRNlP4c1gAKNqsOJhTo2EYRvfDlIZovAkMFpE9RKQEGAnM8DcQkUOAe3AKw4o8yBiJVHJBBEV5VLTZ+dEUBsMwjO5FUb4F6Ayo6jYRuQZ4FigE7lPVBSJyCzBXVWfgpiN6A38SEYAlqnp23oQOID4/RCz7JRCoAJjzo2EYhuHHllzmkVwvuUx12aQtszQMoyNiSy7zh01PdCPCLAT16+sDpyuCojya86NhGEb3xZSGbkSi5ZGKNk9XBEV5BCiUwuYslYl8IQzDMIyuiSkN3YiJQye2yQURT3zq6pohNc0Wh0ZtBGijXBiGYRjdA1MauhlRfFjipzGCVlHEKxeGYRhG18eUhm7EhDkT2Nq0NWm7+GkMW0VhGIZhgCkN3Yoog3yQo6OFkDYMwzDAlIZuRdggXyiFCVNX2yoKwzAMA0xp6FaEDf5Tz5tK041NoVEe/asoEikXhmEYRtfGgjvlkVwHdwIXFXLCnAksWb+E8j7lTBw60QZ/wzA6FRbcKX+Y0pBH8qE0GIZhdHZMacgfNj1hGIZhGEYkTGkwDMMwDCMSpjQYhmEYhhEJUxoMwzAMw4iEKQ1djNq6WirvrAzMWmkYhmEY7aEo3wIYmaO2rpYxT49pzhMRSywF2LJKwzAMo92YpaELYYmlDMMwjGxiSkMXwhJLGYZhGNnElIYuhCWWMgzDMLKJKQ0REZEzReQ9EVkkIj8KqO8hIg979X8Xkcpcy2iJpQzDMIxsYkpDBESkEPgtMAzYH6gWkf3jml0JrFXVvYBfArfnVkpLLGUYhmFkF1s9EY0jgEWq+iGAiEwHzgHe8bU5B7jJ+/tR4DciIprj5B41Q2oiKwmWvMowDMNIBbM0RGMAsNT3e5lXFthGVbcB64Gy+B2JyBgRmSsic1euXJklcZMTW55Zv74eRZuXZ1pcB8MwDCMMUxpyjKpOUdUqVa3q379/3uSw5ZmGYRhGqpjSEI2PgUG+3wO9ssA2IlIE9AFW50S6NLDlmYZhGEaqmNIQjTeBwSKyh4iUACOBGXFtZgCjvb8vBF7ItT9DKtjyTMMwDCNVTGmIgOejcA3wLPAu8IiqLhCRW0TkbK/Z74EyEVkEXAe0WZbZkbDlmYZhGEaq2OqJiKjqLGBWXNkNvr+/BC7KtVztobSotNmvoay0jLuG3WWrJwzDMIxQTGnohsQntgJo2NaQR4kMwzCMzoBNT3RDbOWEYRiGkQ6mNHRDbOWEYRiGkQ6mNHRDbOWEYRiGkQ6mNHRDbOWEYRiGkQ6mNHRDLLGVYRiGkQ7SgeMPdXmqqqp07ty5+RbDMAyjUyEi81S1Kt9ydEfM0mAYhmEYRiRMaTAMwzAMIxKmNBiGYRiGEQlTGgzDMAzDiIQpDYZhGIZhRMKUBsMwDMMwImFKg2EYhmEYkbA4DXlERFYC9e3YRT9gVYbEySQmV2qYXKlhcqVGV5SrQlX7Z1IYIxqmNHRiRGRuRwxwYnKlhsmVGiZXaphcRiax6QnDMAzDMCJhSoNhGIZhGJEwpaFzMyXfAoRgcqWGyZUaJldqmFxGxjCfBsMwDMMwImGWBsMwDMMwImFKg2EYhmEYkTCloQMjIheJyAIRaRKR0KVJInKmiLwnIotE5Ee+8j1E5O9e+cMiUpIhufqKyHMistD7f6eANieLyL99/74UkXO9uvtF5CNf3cGZkCuqbF67Rt/xZ/jK89lnB4vI37xrPl9ELvHVZazPwu4XX30P79wXeX1R6au73it/T0TOSFeGNOW6TkTe8fpmjohU+OoCr2eO5LpcRFb6jn+Vr260d80XisjoHMv1S59M74vIOl9dNvvrPhFZISJvh9SLiPzKk3u+iBzqq8tafxkZQlXtXwf9B+wH7AO8BFSFtCkEPgD2BEqAt4D9vbpHgJHe35OBsRmS6w7gR97fPwJuT9K+L7AG6OX9vh+4MEt9Fkk2YGNIed76DNgbGOz9vTvwKbBjJvss0f3iazMOmOz9PRJ42Pt7f699D2APbz+FGeqfKHKd7LuHxsbkSnQ9cyTX5cBvArbtC3zo/b+T9/dOuZIrrv23gfuy3V/evk8ADgXeDqkfDswGBDgK+Hu2+8v+Ze6fWRo6MKr6rqq+l6TZEcAiVf1QVbcA04FzRESAU4BHvXZTgXMzJNo53v6i7vdCYLaqbsrQ8RORqmzN5LvPVPV9VV3o/f0JsALIdNS7wPslgayPAkO9vjkHmK6qm1X1I2CRt7+cyKWqL/ruoTeAgRk6drvkSsAZwHOqukZV1wLPAWfmSa5qYFqGjp0QVX0F95EQxjnAH9XxBrCjiOxGdvvLyBCmNHR+BgBLfb+XeWVlwDpV3RZXngl2UdVPvb8/A3ZJ0n4kbV9YEz3T5C9FpEeG5EpFtp4iMldE3ohNm9CB+kxEjsB9QX7gK85En4XdL4FtvL5Yj+ubKNumS6r7vhL3tRoj6HrmUq4LvGvzqIgMSnHbbMqFN42zB/CCrzhb/RWFMNmz2V9GhijKtwDdHRF5Htg1oGqCqj6Va3liJJLL/0NVVURC1+16XxBDgGd9xdfjBs4S3FrtHwK35Fi2ClX9WET2BF4QkTrc4Jg2Ge6zB4DRqtrkFberz7oSInIpUAWc6Ctucz1V9YPgPWScp4FpqrpZRL6Fs9KckqNjR2Ek8KiqNvrK8tlfRifGlIY8o6qntnMXHwODfL8HemWrcWa/Iu9rMVbebrlEZLmI7Kaqn3oD3IoEu7oYeEJVt/r2Hfvi3iwifwC+F1WuTMmmqh97/38oIi8BhwCPkec+E5EdgJk4pfEN377b1Wc+wu6XoDbLRKQI6IO7n6Jsmy6R9i0ip+KUsBNVdXOsPOR6ZmIQTCqXqq72/bwX578S2/akuG1fyoBMkeTyMRL4f/6CLPZXFMJkz2Z/GRnCpic6P28Cg8V5/ZfgXhAzVFWBF3H+BACjgUxZLmZ4+4uy3zZzqd6gGfMhOBcI9LLOlmwislPMvC8i/YBjgXfy3Wfe9XsCN9/7aFxdpvos8H5JIOuFwAte38wARopbXbEHMBj4R5pypCyXiBwC3AOcraorfOWB1zOHcu3m+3k28K7397PA6Z58OwGn09rillW5PNn2xTkV/s1Xls3+isIM4OveKoqjgPWeUpzN/jIyRb49Me1f+D/gPNy83mZgOfCsV747MMvXbjjwPu5LYYKvfE/cS30R8CegR4bkKgPmAAuB54G+XnkVcK+vXSXu66EgbvsXgDrcwPcg0DuDfZZUNuAY7/hvef9f2RH6DLgU2Ar82/fv4Ez3WdD9gpvqONv7u6d37ou8vtjTt+0Eb7v3gGEZvt+TyfW89xzE+mZGsuuZI7luBRZ4x38R2Ne37Te8flwEXJFLubzfNwG3xW2X7f6ahlv5sxX3/roSuBq42qsX4Lee3HX4VoZls7/sX2b+WRhpwzAMwzAiYdMThmEYhmFEwpQGwzAMwzAiYUqDYRiGYRiRMKXBMAzDMIxImNJgGIZhGEYkTGkwDMMwDCMSpjQYhmEYhhGJ/w86evT++fU80AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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99idsTkA77AEWnsT117D3C9peH+yJ6GDsCXYr4CTCEqQifMfnO9+zhD0f+nyLfF43wylbB+yFshtwdPhn7Vrf67mYvt8o9qUzNjA8A3tc3kNwL4+PsQmvbYHTqZ/pLM7zPZxytAXauF6b5Tx3F7bGrW2orM73sYfzuRRga+jedpa1cY670L+rgU+A7Z3l2dgk578473E49s5hT2d5hvNeA7A1Om1xMruxF8/Dscd0W2zy8AqnDBL2vgc6+7UjrszwgONhsGufOmOPyc+j2SfXOm2xv9ETnL9DydeXseX47oE9sf090j65fg9dnP07BPt7cCf2LcEm1GUBW2ObHZ5xlnXD3q0d57y+m/PZD4vyN/AcrmS+8PMZYb9nZz/fcT3eDZuvADab/nNsQlyu83hv4MAoj/0rsAmooc/jK4J7eazF1vJshdOrKGy/nnWWHU7DXh5Br43rd+EsvxvbrL4NNjn5J5wkQ2d99zG2DBv45jnLb8aeS7b32N8OwKe4kvTDlvdnyzl9a2wvo1ASavuw952Kbd7tGM15wlnnMGxzvOd5GZiAza2I+jtlSy+Pq7G/rasI6+XhHEflwHExnvtGYZs8tnO+qwuc8m8deAxGcZCW4h9Q7AS8iu3l8T2ugxfvgOLPzge+q98PMPxH6OzMrc7BswJ78G4T9mOPJ6DIxCYzrsUetCOo30W2QfnDynyTcwB69fJoi23rW+JsfzGubG3sgR967ZXOa3f2OgFFub3+2LvNNc6+PI9z4GLbEsdH+I5nY/NQwp8/0vlMsn1el49N7luOPWj/C5wb/lm71vd6Lqbv13n+K6A4YH/6Ydv2K7FdpYpcy+p9Hs57vOOs+zX1ezSF3t/9rzTsGA9ffpuz7Dxslv565zt5Co8TXcDn0hObvLce21XsdNeyYzze9x3X6xY4r1sFzAH6+Lyv3+frdzz8wbVPP2MvOoUx7FOpR7mLnGVPYm9I1jvr3Qe0jWafsIlspdim0q/Djw3s3dY72F4VK7GB0Hau5Wdju8Ovwx7L92DvmCHyb+BQ7I3Sb8CD4eczYggonMddsBfyn51tfsyWc9KR2Opuv+NesEmyq51/91K/B0AF9XuynY/tFbAee3PQ0bWsI7bpaL2zzvlh7xX02ts8vueofhfYC2PovPwLrq7DHvtbSv3fq8HWmla4/t3iLBvqLF8ftryr6/XXOe+5Fns8tvF53/DvtMhjf0vDXvMYtrnGa3ttsefuvnF8p/theyhWYoPR/cJefx42yGjQq4Tgc19bbJ7JT87n8TkevUfC/4XuDlJC7EAjw4wxR6TsTdOck2j3JfbgjdSunVIi8mdghTEmPNteqVZBfwNKRS9lAYWTzPEWNhnmqUjrt2Qicjp2nIlQk0etMea0pi2VUkopFb+UTA7m9KNega1O8uvu15pcjh3E6Xts3saVTVscpZRSqnFS2uShlFJKqZZJpy9XSimlVKNlRV5FpUqnTp1MUVFRUxdDKaWalXnz5q00xnSOvKZKJg0o0khRURFz585t6mIopVSzIiJlkddSyaZNHkoppZRqNA0o4iAiE0XkVxH5MsJ6B4rIZhE5M1VlU0oppZqCBhTxmYQdndKXM3/BPdix45VSSqkWTQOKOBhj3sMOgxrkD8CL2PEmlFJKqRZNA4okEJEdsZOtPBrFusNEZK6IzF2xYkXyC6eUUkolgQYUyTEWuNHY6ZMDGWMmGGP6GGP6dO6svZ6UUko1T9ptNDn6AM8509R3AgaKyGZjzMtNWyyllFIqObSGIgmMMbsYY4qMMUXAC8BwDSaUil7JwhKKxhaRMTqDorFFlCwsaeoiKaUi0BqKOIjIs8AxQCcRWQ6MArIBjDHjm7BoSjV7JQtLGPbKMDZUbwCgrLyMYa8MA6C4V3FTFk0pFUAnB0sjffr0MTpSpmrtisYWUVbecODDwvxCSq8pTX2BVNoTkXnGmD5NXY7WTps8lFJpZWn50pieV0qlBw0olFJppWt+15ie96N5GEqllgYUSqm0MqbvGNplt6v3XLvsdozpOybqbYTyMMrKyzCYujwMDSqUSh4NKJRSSRNPLUFxr2ImnDKBwvxCBKEwv5AJp0yIKSFz5JyRdUmdIRuqNzByzsiY90EpFR3t5aGUSorG9NYo7lXcqB4dmoehVOppDYVSKimaspYgUXkYSqnoaUChlEqKpqwlGNh9YEzPK6UaTwMKpVRSdMztGNPziTTr21kxPa+UajwNKJRSLY7mUCiVehpQKKWSYnXl6pieT6Rk5lDo+BZKedOAQimVFE2ZGJmIsSy86PgWSvnTgEIplRTJuqhHIxFjWXjR8S2U8qfjUCilkiJ08R45ZyRLy5fSNb8rY/qOSdmMoY0dy8KL5mYo5U8DCqVU0iTjot6UuuZ39ZwJNVXjW5QsLGmyAE2pSLTJQymlXIKSLsf0HUN2Rna99bMzslPSjKP5GyrdaUChlEqoaHpBpGtPiWgu2iJS7zXhj5NF8zdUutOAQimVMNFckNP5TjvSRXvknJFU1VTVW15VU5WSi3oy8jfSNbBTzZMGFEqphInmLjqd7rTdF9RO93byzI8AO7FZycKSJk3KTHQ33HQO7FTzpAGFUiph/C6s7gt1uvSUCL+grqpcFbj+sFeG+Q4b3hzH1kinwE61DBpQxEFEJorIryLypc/yYhFZICILReRDEemd6jIq1RT8LqyC1N35pstMoF4X1CChdVvK2BrpEtiplkMDivhMAvoHLP8fcLQxphdwBzAhFYVSqqmN6TsGoWGSosHU3fk25YBXbvFcOFdXrk7KgFnRKu5VTOk1pdSOqqX0mtJGvW+6BHaq5dCAIg7GmPcA3wkJjDEfGmN+cx5+DOyUkoIp1cSKexVjMJ7LQhdwvzttoFEJgrEmGMZz4eya3zWhF/WmlC6BnWo5NKBIvkuB1/0WisgwEZkrInNXrFiRwmIplRyF+YWez7sv4OEXZaBRCYLxJBh6XVCDtLSLbbKGJ1etlxjjfTehgolIEfCqMWbvgHWOBR4BjjDGBGd8AX369DFz585NWBmVagqhi7s7PyEnM4f2Oe1ZXbnac4THorFFnj0sCvML6wKOIPG+PjTypF/vDrcpg6foxTZNicg8Y0yfpi5Ha6c1FEkiIvsATwCDogkmlGopwu98C3ILMMb2ovCrPWhsgmBQ75Ks27MY/tpw37KWXlPqW6sSkimZUZVDqdZMA4okEJGuwHTgAmPMN01dHqVSzd2kkZeTR3Vtdb3l4d0TG5sgGLRejanh0bmP+gYVEDlwqTE1OkaDUhFoQBEHEXkW+AjYQ0SWi8ilInKFiFzhrHIrUAA8IiLzRUTbMVSrFU3tQ2MTBKPJh5gwz7+zld/4Em46RoNSwXS20TgYY86LsPwy4LIUFUeptBbNDJ2Nnerc/Xq/fIgaU+P5fMnCEtZVrYvqfXSMBqX8aUChlEqqMX3HNEjS9Kp9iGmq85oa+OknKC2F5cthzRqK16yhuPw8/vbePdQ6XVerM2BNW/uvvF0GfPABFBXBDjtAhq2g9Zqfw09zGaNBpzlXTUEDCqVUUjW29oG1a+GTT+C//4X58+2/776D6mrP1a/33VAtTDvC/pmTA4WF0KsXQ1eX8d/tYV4X+LGDfzGCmmBKFpZw9etX1w3fXZBbwLgB4xrsYyou9OG9bEJJsIAGFSqptNtoGtFuo6oxWsxdaVUVvPsuzJkDb78N8+bZGolw221naxt23hk6doT8fPsvJ4fpi6fzyfJPyN5s2GaTcEjeHhye18PWZpSWwq+/er7199vAe4X239tFULaNHTY86PMsWVjCJTMuaVDLkZ2RzZOnPVn3Gq/utO2y2yV87IfGdsFtjrTbaHrQgCKNaECh4uV3sRraeyizvp2V/kHG+vUwaxa89BK89pqtlQjJyoI+fey/ffe1//baC9pFPyhVAxs22FqOBQtY9O9n+fG9WRz4I+Rvqr/a4u0yeafnVpQUreXHnl254/g7G3x+fhdwqH8RT9SF3itwhC01QH4jlQpC7ajaqN+nOdGAIj1oQJFGNKBQ8fK7WAlS7wKTjDviuBkD778PTz4J06bZoCJkn31gwAA49lg4/HDIy0tqUYa/NpwJnz7KPj/DUWVwdBn0/R90cAUYK9rBS3tnUXTlTZxw4ei6HIyM0RlRXcT91ovlQu8VOGZnZCMiEfNAtIZCJZsGFGlEAwoVr6CLWrhE3BE3KiD57Td44gmYMMHWEoQccgiccQacfjp06xb/9uMUvp+bNqyjx9erOfkbOOVr2O23Lesuz8+gZO9ant4HFm+fQa3xDggSXUMRVBsSJK0CySTQgCI9aFKmUi2AX9dML0FdH8MvqgO7D2TyF5MTk+D37bcwbhxMmrSlNqJLF7jwQrjoIthjj9i2FyP3voXGnQgfCty9TxmjM/h5V3hrV7juRNjnFzhvIZz3JRSW13LjB3DjB/DRTrU8vj9M3Rs25NR/z4HdB9b9HW1vlyCxdluNlP+hVCJpDUUa0RoKFS+vqvDw5o4QvzviRGzD0xdfwO232/yI0Pnm+OPh6quhf3/ITP6w1l775padkU2HNh3qBRh+Y1pILRy2DIoXwvkLt+RdrM2Bkn3gsQPgix3sc+GfU2Nre2KpoWjJTRzhtIYiPWhAkUY0oFCNEal2AYKrvjvd26mu22MkUbX7hwKJ6dPt4zZtYMgQuOYa2Nt3Tr2kiLWpIJTQGv75NVivCs76Cn73ORy+bMvz73WFcYfAzD2g+vbEnWOjzaFo6U0c4TSgSA/a5KFUC+E1MNThXQ+P6o64ZGFJ1MEERBjg6Ztv4JZb4MUX7eO2beGKK2DECDugVBOItalgQ/UGZn07iwmnTKjXTBL+GW3Igcn72X89foVh8+Ci+XDUUvtv+TaZ0P4+uOwy2GabRu+H35geXs+1lmBCpQ+toUgjWkOhmkosd/C+d7+rVtkaiUcegc2bmzSQCK+tqaiqiClggoa1MEGfUaZkkiEZVNdWk7fJBhVXfyrstso5v7ZrZ3NFrr4a9twz7v1S3rSGIj3o5GBKqYh38JmSiSAU5hc2DCY2bYL777c9Mx580A5Cdeml8P338MADTRJMDHtlGGXlZXXTpa/dtJaczJzIL3YJr4UJ+owmnz6ZJ097ksL8Qta3EV45oZBP5kyGV1+Ffv3suBfjx9vxM04+Gd56i5IFUygaW0TG6AyKxhZFNZNpycKSmF+jVKpoDUUa0RoK1VQi1VD45ky88QZcdZUNHsAmW95/vx1Hoon47UtBbgF5OXkNenl0zO3Iuqp1EXMQGtXt86uvbA+Xp5+GjRsBWLi9cP8hhuf2hqqsyHkPXvkTOZk5ZGdks77a9prJENuFtTC/sFU1e2gNRXrQGgqlVMTpvxvkTCxfDmeeaQef+v576NEDXn8dZs/2DCZSeWftV5OwunI1pdeUUjuqlpUjVrJyxMq6vycOmkhhfqF/LQzen5EgDOw+MPL+9expx91YuhRuv50V7TPo9bNh8stQOhZueQ9y1wRPjz5yzsgGCaJVNVV1wQRQNx5GqHuv1mCoVNIaijSiNRQqmSJ1WQyf4Cqk3p3z5s22WWPUKKiogK22gttus7kB2dm+75vMOSyizZdIRDfK4a8NZ/zc8fW60uZk5mCMobp2y2Rlkfav7V+EcxfCdR/BPs60Ihuy4OnecPmUxZ55FrEMXhbSWrqOag1FetAaCqVaAa+8gvA72OJexawcsZIpg6d4361/+ikccABcf70NJgYPhsWL4YYbfIMJ8L6z3lAdfDfemP1aV7WO7Iz65Yl2AKlINQ2zvp3V4KJeVVNVL5iAyPu3fUEhk/eD3ldCvwvgte7QbjNcPo96eRa4bvjimTo91t4tSjWGBhRKtQJBF/XwiyhQ1zRQek0pxbsNtj01Dj0UFiyAXXaxE3i9+KKd6TMCv4taIi52fs0AHdp0iNiEES6aoCuWMgetW9d8IjCnG5xcDPtf3ZZvzzzW9o557TXo2xf22w+eegqqqiI2S3mJJwhRKl4aUCjVCvhd3EIXTd+L6Icf2ovafffZxzfcAF9+CQMHem7Pi99FLREXu2jyJUKjXkbK34imJiWWMgetW9yrmAmnTKgX9Fx/6RN0f/6tujwLttvODg42dCgUFlL34Io8AAAgAElEQVQ8s5RJR/6t7jV5OcETpsU6rLdSjaUBRRxEZKKI/CoiX/osFxF5UES+E5EFIrJ/qsuolJvfxS1TMj0vone8fjNcdx0ccQR8/bWthv/wQxtYxDhtuNeddaIudpGClWhqHUKiqUnx2pdQTwu3aPavuFdx/ZqgUA1K587wl79AWZmdibVXL/j5Z/jznznrxOso/XoAL+93j++EZEDUtTJKJZIGFPGZBPQPWD4A6O78GwY8moIyKeXL76JeY2oarHtkKbxyzzI7hkRGBtx8M3z+ORx8cFzv7XU3nqiLXaRgJZb8jWhqUrz2ZeKgiXVjUCR0/9q0sZOmffEF/OtftkdNZSWMH8+pg0YwddIGjl0C7pSOwvxCzChTP0BJgKDcEh0bQ4VoL484iUgR8KoxpsGkBCLyGPCOMeZZ5/HXwDHGmJ+Ctqm9PFQyec31MWHehLqgImcz3PEW3PChc6fRq5e9Qz7ggLi2n6pxEILe169nhNe4GsnujZIQixfD2LFUTpxA7mb71Pzt4O+HwnN7w+asKOZYiVHQ5wKkxWemvTzSgwYUcYoQULwK3G2Med95PAe40RjTIFoQkWHYWgy6du16QFlZ9BMYKRWv8ItEz19gynTY9xfYnAGLf3cavR6cCjnRjS7pN5vnVtlb8dgpjzXZBTnWwahSFRQ19n32/+vOnPTWcq76FLZzhqH4MQ+mHLU1I576DgoKElbWoM8QiH+wrwTSgCI9aJNHEzPGTDDG9DHG9OncuXNTF0e1EKFqaBktZN2ehYyWetXRoaYAqYU/fgxzJ9hg4ruO8O/Jt9Fr/Eu+wYRXFbdX0wLA+ur1XPzyxU1WDR5r/oZvXkMCxZLX4ef6QXfz937tKLwGLh4EC7aFLhUwYtYa2/Pmiitg0aKElDcotySZPXhU86MBRXL8ALj70+3kPKdUQkRq0w5dsIC6Jg33hWtp+VK6rIU3psC4N6BtDTy+P+x3OfQfMirwfb0uhkHDdlfXVjNk+pAmaV9PZv5GvBIxLkdov/I6FDDJGc9i8GXt+eGI3jbP4rHH7Oic/frBzJl2fpU4BeWWJLMHj2p+tMkjThGaPE4CrgIGAgcDDxpjDoq0Tc2hUNGI1NYfaV6OwvxCBsxfz5ipK+m4EVbmwmWnwoy9IldV+207UzI9EzzDpV1OQhMIGvFyyuApUX82fsfBcz1HccrsUjt+xXqnPWSXXeCqq5h2cB4jPruzXh7NrG9nBTa9aA6FipYGFHEQkWeBY4BOwC/AKCAbwBgzXkQEeAjbE2QDcLFX/kQ4DShanmS0yQdd1CefPpkLpl/ge8FqvxEefB0u+sI+fn03uGQQ/NwesjOy6dCmA6srV/uWNehiKEhUQ0M39XDQTZU8GhIU8MVyMY6YH7JmjU2qfeghWLIEgPXZMLk3PHQQLN42+vcP+sya+vMEDSjShQYUaUQDipYlWb0Ggi7q7bLbkZuV6zmXxeFl8PRLsMsaoG1bPr3uHM7u9DZL1y5LyIybA7sP5NG5kXtI+85cmgLp0JPDL4E1JNqAK9oeLM/Mf5rpf7uMyz+s4vglW9b7167w4MEwqzvUuhq/mzrgi4cGFOlBcyiUSpJkzWER1D4dej93ImJWDdwxB96dZIOJVXsVweefc9CYSZReW0btqFrycvLqBRN+ZQ1KcnzkpEeYMngKBbnBPQyasn09mfOKRCuU/+An2oTGaPMXbnnnL7y4WxUnXAg9hsMjfWxNxfFL4JVn4et/wGXzINvphhrUXKZUEA0olEqSxmTAByVdRprTYVXlKnKzcgHYfSV8+E/4839AgC8vPYWC+c7Il3GUNVKSY2iCMTPKMGXwlKSNkBmvdOmVUNyruK7bZbhoA65oe7C4923xtvD7k2HH6+C6E2DJ1rDbb/D4K/D9g/D7T6BtNTo4lYqLBhRKJUm8GfCRuhWGLuqZkun5ekFYtWEVl38G/x0PB/4IFV06kfHue+z9xEzP7qDJyNZPxx4W6dQrIRFDkocCR4CC3ALPz9dr38pz4YHDoPsf4dwz4MvOsPNaeOh1WDIOPrz5Ap7571Mx7pFq7TSgUCpJ4r1gRFMtX9yrmMmnT26wfUHoVGGY+SyMf81Oif30PtBrWA1F8y7wHR452rLGOoZCrOM6JHsY52TOKxKrxgRcoe/BnStTubnSc92gGq3aDJjaC/a5Ek4/Bz7fHnaogIdfM+x/4kW884/r602hrlQQTcpMI5qU2fLEkwEfTbJdaLtl5WV1XTYL8wvZ+9My/jnTjp74W1u44mSY1qBjs3ciYjRljXXkyVikKmEyHXolNFa8I4CWlZcF98YxMHgx3P1v6L7aea5fPxg/Hrp1S9wOJJgmZaYHDSjSiAYUrZv7pO8ldLHwuvAWmFw+XHwYu0+bA8BbRTD0dFie7/9+8QQBscyNEatkBistTbzfQ6QxSkKyN8MVc2HUu1BQCZvb5rDgysGcteOH/K9iWdoFYhpQpAdt8lAqDYSPbhkuaAbN/X6E/zxcye7T5lCTlckt/bPpd2FwMAH1s/mjbWpIZg5CuiRMNgfRfA/h3+nw14ZH3YOjOgv+cQjseRVM6QVZG6vY/4HnePbvS9lldcOmLp1xVIEGFEolXTQnW7+5MIAGbeuhC2xGLdz4H/jkCdhrJXzVGTI/m0vPe5+k41Zbum4K4rldQShZWBJTXsTA7gMbbC9ROQjplDCZ7iLlgnh9p0FjhBTkFnjmWazcCi44A/oXQ1k+HPSjTfQ9+8steT2JmJtEtQwaUKhWze9in6g7rmhPtn534YI0SGbsmt+Vrmvgrclw9xzIroUHD4LBN+wM++4L1E/Q82svNxhGzhkZ9dgMJQtLmPzF5HrbE4ShvYcmpOo7nRIm010oodM95oe7x0dQgBquXXY7xg0YV5cg6mV2d+h9BbywF3SogqkvwLhZ8MPqsrQY20OlBw0oVKvldbG/+OWLaX9Xe4ZMH5KQO65oT7ZR350bQ8nGk/hiPBxdBj/l2bvHmwe149YBd/m+p59YZoz02q7BMOvbWVG9VyTp2M00Hqms/l+7aW3d36sqV9XN7BpLM1HoMw71yPELKspz4ayz4cqTYFMm/PFTmP1CLqt/9W5GWVq+VJtCWhlNykwjmpSZWtEmqIUkMokR7N19KLkNophkaeVKyopPovDNTwGYsSdcdgps1aWwXoJc0Ht67RN4j44Yvr/JTMhsKVI5tHenezt5DrFekFtAXk5eVMe21zHttQ/ZGdmISN1oqoeXwctTodMGWNQlm2POr2ZFXsNyVG6uTMlnoUmZ6UFrKFSrFWuyXzzJgUHt/6HajwumX8AHSz8IvjufMYPKPbpR+OanrMuxgcRp58CGrds1yLaPJedgYPeBUTc1aI5DZKms/vcKJkLPRxpNFfybk7xqip487UkmDppY99zyfQr5YNr9sPvu9PixmneeEratqL9tQJtCWhkNKFSrFeuFMJ4LZzQndoNh/NzxAA0HgVqzBoYOhdNOI3f1Wt4ugl5Xwj8PACT6+Tb8EjNnfTsr6qYGzXGILF16qnh9p1f2uTLq5iSvAcnCnxt00vXw3nvQowc9fjV88FQWO6zbkkS8unK157a1107LpU0eaUSbPFIr0qyPbo2pqnUPpBTUFNGg+nn2bLj0UvjhB8jN5eqjK/nHQWDCbgO8mhzCB2/yq/6Otbki2kGhWsLgUfFozFgasX5mQU0eK0esjLnscfv1Vzv41cKFNin4vfegffuUjiuiTR7pQWsoVKsVfhdXkFtATmbDeS785kiI5X1Cd3Z+CW/gunNbtw4uvxz697fBxCGHwPz5zDixsEEwAd41J+F3k42diMpvu37BRGvtRhhvLU48n9m4AeMaHK85mTmMGzAu/h2Ix7bbwpw50L07zJ8PZ57JM59P9m2SGdh9YGrLp1JGAwrVqrkvkCtHrKzXTlyYX8iUwVNYOWJlwu6ux/Qd49v80DW/K7z1FvTuDRMm2Em87r4b3n8fdt+9UU0OqWyuaM3dCOPtqRLPZ1bcq7jB8Tpx0MSYj9WE9MTo3BneeMMGF2++SeUVl1FRVeG5aqJ6Ban0o00eaUSbPFqH4a8NbzDI0LZV2Xyw+DB2e+ld+8R++8FTT8He9SfiaExTQqqaIbQ3SOya6jNLeK+Uzz5j4+EH07bacNEgmLxfw1WSsU/a5JEeNKBIIxpQtA4lC0u4+OWLqa6tBuD0RfDwLDvLIzk5cOutMGIEZGc3bUHjpHNyxK6pPrN43jdSYHrJacLEGVCZBYdeCl/sEP2246UBRXrQJo84iUh/EflaRL4TkZs8lncVkbdF5L8iskBEtOFQAbZ6u7q2mu3XwQtTYfo0G0x8tksb+OILGDmy2QYToL1B4hHrZ5aoAaNi7ZUSTa7HW8cU8vj+kLvZjqiZW1V/G5pD0XJpQBEHEckEHgYGAD2A80SkR9hqfwamGWP2A84FHkltKVW6WrqmjEs+h0UPwxmLYV0ODB8IB1+wiYypPZr9iIItZcTLVIrlM0tk0musY4sE5XqEgpyy8jL+MMDOLbPHKhjzVv1taA5Fy6VNHnEQkUOB24wxJzqPbwYwxtzlWucxYIkx5h5n/b8ZYw4L2q42ebQC333HBwN7cfi3GwF4rbsdynjZ1vVXS9aIgqr5S2TzSKw5FEGjsLbLbldvO/v/CJ88DhkGjr0I3iuyz2sORculNRTx2RFY5nq83HnO7TZgiIgsB2YBf/DakIgME5G5IjJ3xYoVySirSgcbN8Jtt8Hee3P4txtZ0Q7OHwwnn98wmIDU94rQOReaj0QOnhVrbZJfzUWmZDaoufi8C/z1KHuRmTgD2lQHb0M1fxpQJM95wCRjzE7AQOBpEWnweRtjJhhj+hhj+nTu3DnlhVSNE9WF+PXXbW+N0aNh0ya48ELenfUIHx5ZiIh3F1JI3YiCrXnciOYo0UOgRzO2SIhfrkeNqfFe/yhYuC10+w3+9KF9rqKqQo+tFkoDivj8AOzseryT85zbpcA0AGPMR0BboFNKSqeiEu1dedAU54EX4mXL4IwzYOBA+P576NkT3n0XJk/mzKOvZEzfMYEXgVTdybXmcSOao6ZMevWr0fAbOG1zJlzl5GDe8h8o/M3ONaIBa8ukORRxEJEs4BugLzaQ+Aw43xjzlWud14GpxphJIrIXMAfY0QR84JpDkTrRth0HrTdyzkjPtuxueV35rvYqWyOxfj1stZVt7rj66rreG5GG/U5lDoWOG9H8pNvQ5l7HsyAYDJmSydPP13Del/DiXnDmOXZ5IruPag5FetCAIk5ON9CxQCYw0RgzRkRuB+YaY2Y6vT4eB/IAA4wwxrwZtE0NKFIn2sS2oPW85uY4qhQeeQ16htJhzjwTHngAdtopqvcPbTuVFwgdN0Ilgl+QkzE6gy7lhv97CPKq4bBL4KOuiQ1YNaBID1lNXYDmyhgzC5ts6X7uVtffi4DDU12u1sDrxAXEdMcWbWJb0HruSbe2rYD73oQLF9jl33aEG05tw9nXnUZxWDARtF1BUn4RH9N3DJfMuISqmi0DBuRk5ui4ESomoRlJw3XN70oZZTxwKPzlPfjrW9D3Ik3ObIk0h0I1K155Cxe/fDGXzLgkpqTCaBPbgtYb03cMeZm5DP8Uvv6HDSY2ZsKtx9gpxmcWbfLNQ0h0Yl1jhddUas2lSpRQzsffDoXf2sJxpTBwaRsNWFsgDShUs+KVQFhdW13v7hoiJxUGJba5kzArqirIzqg/amV2RjYVVRU8+OAQ3h9fxcOzYOtNdkyJnr+HO46BTc5LysrLPBM602k0ydDInW7VtdWalKkSIpTIufX2hdzvjMQz+bOdKN77/KYtmEo4bfJQzUosXSmD1g1VzXo1nbjn2VhVuYpMyaQgt4DVlavpmNuRrDVruW3GKobNgwxqWJYvjDx1K57etYLwiUQFqWsWCdWcBL1/UyTWJXJcA6W81DWHXFYB3brRaeH38K9/wQknNHXRVAJpUmYa0aTMyIKSGcPFk1TY6d5OrKpc1eD5gtwCVt7wKzcM2ZYbZ6yi8waozoC/HQp3HA25+QVUbq70zHJPRLmSSZMyVUrdfTfcfDP062eDigTQpMz0oE0eqlnxairwEm/zgVcwAbBD6So4+mjuf9YGE28XQe8r4ObjYUMOrK5c3aB/vt8Qxel2559OzS+q5Qkfx2XakR0hLw/+/W/4/POmLp5KIA0oVLMSao8tyC1osEyc9oZETkaVtwnumw3/HQ+8/z4r2mcw5HQ4bigs3nbLel3zuzYYcdBvsJ90y27XybxUsngmUb97LYsHH2lXuO++pi2gSiht8kgj2uQRvWRV09c1eRgYvBjGvQ47rYNagYzhv2faeftw8bvXRjWZUqwTLynV0vj9Tg+p3ZGP7vwFjIHS0gbjtMRKmzzSg9ZQqGYpWYmE4waMY/c1mcwqgRen2WDisy5w4O9AOj/MiM/uZGjvoVHdzeudv2ptwps3/PKdPsn4EU4/HWpq4PHHU1xKlSxaQ5FGtIYieomuoShZWMLtb9zCubOWcvN/oG0NrGkDN/eDCQdArSv01loGpRoKGn47XGF+IaW9n4TjjoMddoCysrph6eOhNRTpQWsoVLOUyETCkoUlPPmPS5lxz1JGv2ODicm9YY8/wPgD6wcToBNnKeXFa4wYg6nLbQqp+50ecwzsuSf89BO88koKS6qSRQMK1SwlrDlh3To2D7+Sfz++iT1XweJOcPRFcNHp8Gue/8vSraeGUk3N7zdhMN6/UxG44gq70qOPprCkKlm0ySONaJNHis2aZU9oy5ZRnQF3HwFjjtwyymWQRI3RkG6zRioVr7iaIdessU0emzbBkiVQVBTXe2uTR3rQGgrV+qxcCUOGwEknwbJlfLFzDgcMg1uPqx9MZEomgH+VbSN5damLNAeJUukqrmbIrbeGwYNtb4/Jk5NcQpVsGlCo1uW112DvvaGkBHJz4f77+WrG43y/c/0ToSDUmBoK8wu5os8V9apsh/Yeysg5IxvMzxErrzZnzc9QzVXczZCXX27/nXpqagqqkkabPNKINnl4S0SzwNRP/knNtddw/kcVAPxywJ5sN/VV6Nat3nuUlZc1yEx39+pI5NgSGaMzPDPgBaF2VG1M21KqNdMmj/SgNRQqrSWiWWD2lNvoM/B3nP9RBZsy4foToNtpZZRs+LhundAol15DZrtrDRJZq5BuU5grpVRjaECh0lqsF3D3wDrd/lbIwitOp9+Fo+m22jB/O+gzDP5+GKyvqfTcRqQBsxI5oJbOoaGUakl0+nKV1mK5gLubI3ZYCxOfXEqvsqXUAncfDqOOhaqs4G10ze/qmameIRlkjM4gQzKoMTWer4tVOk1hrpRSjaU1FKpJhQ/VG96U4XehNpgG64dqM47/DuaPh6PL4Kc8OP6iDG4+vn4w4bdtv9lMa0wNBuMZTAhCWXlZXAma4ROKaTChlGquNKCIk4j0F5GvReQ7EbnJZ52zRWSRiHwlIs+kuozpLpr8iKDpysvKy7j45YvpdG8nMkZnsHx1GXfMgTemwLYb4F+7wr5XwFtFtVE3LYRnqoe6joZzdykN5Vxot0+lVGumvTziICKZwDfA8cBy4DPgPGPMItc63YFpwHHGmN9EZFtjzK9B223pvTzCe2tUVFXYmT3DhA+E4+6B4afjBpj6PPT7H9QIjDoG7jrSDptdmF/ImL5j4mpaCOqJ4dc8kqhBr5RS0dFeHulBcyjicxDwnTFmCYCIPAcMAha51vkd8LAx5jeASMFESxfe3TIoOAjPbSjuVUxxr2Lfi3vPX2DGc9DtN/hlKzjnTHh3F7ssVBMR2kas/IKGrvldkzbjqVJKNUfa5BGfHYFlrsfLnefcdgd2F5EPRORjEenvtSERGSYic0Vk7ooVK5JU3Kbn1VvDTyzdKU9fBB8/YYOJeTvYXhyhYAK29AiJpxmiZGEJFVUVDZ4PBSna7VMppbbQgCJ5soDuwDHAecDjIrJ1+ErGmAnGmD7GmD6dO3dOcRFTJ9q79qBuk/XyKQz8+V2YPg3yqqGkFxx5MSzPb/i6eHIbQjUq4U0yBbkFdYNYabdPpZTaQgOK+PwA7Ox6vJPznNtyYKYxptoY8z9szkX3FJUv7fjdtRfkFkQ9VG8oYbJbXlcmzoA73rb5EjccD0MGQ2WO//vHOviUX41KXk5eXfkSNuOpUkq1AJqUGQcRycIGCH2xgcRnwPnGmK9c6/THJmoOFZFOwH+BfY0xDbMQHS05KTPWIat9h9teuxbOOgvefJPKbOGcMwyv7imeuRXhYhnSWofFVqr50KTM9KA1FHEwxmwGrgJmA4uBacaYr0TkdhEJzXAzG1glIouAt4E/BQUTLV0sd/N+3Umnz3kIjjoK3nyTFVvBMUMNr+xpx6TIzsimILcAQcgQ78M6ltwGzY9QSqnYaA1FGmnJNRSxKBpb1KBnxW6r4O0pmez0Ww1LOmdx/HmbWdKx/utC3UMvfvliqmur6y3Lycxh4qCJUTdHJHISMKVUcmkNRXrQGgqVdsITOHv+Av+ZCDv9VsPnhTkcdFHDYCL0upFzRjYIJgDa57SPKRDQ/AillIqNjkOh0o577If9f4Q3n4aCSpizCww6t4r1bfxf59ebZHXl6pjLEe/YFUop1RppDYVKO6HumIeXwVuTbTDxanc46Xx8g4lIY0N0zPWo0lBKKZUwGlCoqEWayCtRinsV8/IO1/JmiZC/CV7t3Y7B58CmbO/13c0RY/qOITuj4YrrqtbpHBtKKZVEGlCoqEQzkVfCfPghx/9hLO2qDAwdysnz1tKloNB39bLysrrRMIt7FdOhTYcG61TVVMU0DoVSSqnYaEChouI10FOsg0V5Ca/1eP3Z22HAAFi/Hi64AP75T8jMDJx1FOqPhumXLxGeX5GqGhellGoNNClTRVSysMR3Mq/GTIQV3jVzm/8r45CbR8FG4OyzYeJEyLTThIeSI4e+NJQaU+O5vVCAEzShl997hwIS93sppZSKntZQqEChC6+fxgz05K716PEr/Osp2GYjzO6VC1OmQFb9eLe4VzG1JniUyqXlSz1rMwShrLysriYiWTUuSinVWmlAoQIFzRLa2ImwQrUbXdfYrqGdKuG17jBoUCVke2dgRgpguuZ3rTeGBNhgIjSMdqgmIhk1Lkop1ZppQKECBV1gGzPQU8nCEjIkg44bYPbTsOM6eLcQzjwbtg9IwAzKpXAHOMW9iim9ppTC/MIGc3JsqN5ApmR6bkOH1lZKqfhoQKEC+V1gC/MLGxVMDHtlGG021fDqM7DnKliwLQw6FzLaBdd6hNc+hAIDv5Es/QKiGlOjU48rpVQCaVKmCjSm7xjPOS0ac+EdOWckVRs38NLzcOhyKMuH/kOgPBeu7D00YqASywiWfgmaoXk/PGc0VUopFTOtoVCBkjGnxdI1ZYx/FU7+FlbmwolD4Cdn6IgnPn8iod03vZpIQgFRqFmkdlQtpdeUajChlFKNoLONppHWMtvo3adsw02vrmFDFhx7EXy6U/3lhfmFlF5TmrD3C/Xq0JoIpVomnW00PWiTh0qt6dO56dU1AAwZ3DCYgMT3tNBJvpRSKvm0yUOlzrx5MGQIAKMHtOOlHt6raU8LpZRqfjSgUDGJe7jqH36AU0+Fykq46CJ2u/sxcjJzGqyWnZGtPS2UUqoZ0iYPFbW4h6tev94GEz/+CEcdBY89RnFODohw9etXs6pyFQAFuQWMGzBOmyeUUqoZ0qTMOIlIf2AckAk8YYy522e9M4AXgAONMYEZl+melFk0tsi3C6ZvEqUxcM458Pzz0K0bfPwxdOqU3IIqpVoVTcpMD9rkEQcRyQQeBgYAPYDzRKRBRoCItAeuBj5JbQmTwy9ZMjCJ8oEHbDDRvj28+qoGE0op1UJpQBGfg4DvjDFLjDFVwHPAII/17gDuwc6f2ez5JUv6Pf+vJ//C5j9dD8DlZ7alpHpe0sqmlFKqaWlAEZ8dgWWux8ud5+qIyP7AzsaY14I2JCLDRGSuiMxdsWJF4kuaQEGDRIWbPuch9vnjX8mqhXsOhwmFKxj2yrCISZxxJ30qpZRqUhpQJIGIZAB/B66PtK4xZoIxpo8xpk/nzp2TXzgf0VzIox41s7qanX93A9tVwFtFMPI4+3Sk6cFDSZ9l5WUYTF3SpwYVSimV/jQpMw4icihwmzHmROfxzQDGmLucx/nA90CF85LtgdXAqUGJmU2VlBneewNszUPcQ2xfey2MHcvy9nDA5fBr3pZFglA7qtbzZXElfSqlWj1NykwPWkMRn8+A7iKyi4jkAOcCM0MLjTHlxphOxpgiY0wR8DERgommNHLOyHrBBESuTfA1bRqMHUtVJpx1dv1gAoIHrYor6VMppVRa0IAiDsaYzcBVwGxgMTDNGPOViNwuIqc2beli53fBLisvQ0ZL9LkMixbBJZcA8MWIC1mwa2zTg8ea9KmUUip9aEARJ2PMLGPM7saYbsaYMc5ztxpjZnqse0y61k5A5At2VLkM69bBGWfYQazOP58Dx0yKeZbSWJI+lVJKpRfNoUgj6ZRD4cU3l8EYOPtseOEF2HtvO3jVVlvFXRadGVQpFQvNoUgPOvS2qrtgD5k+JHA931yGBx6wwUSHDvDii3EHE6GyaAChlFLNjzZ5KMBeyAvzCwPX8Wwaee89GDHC/j1pEuy+e+ILp5RSKu1pQKHqeOUwhHjmMvz0k52no6bGBhWnn56CUiqllEpHGlCoOu6Bq8JlSNihUl1t8yZ+/hmOPRbGaOKkUkq1ZhpQqHqKexUzsPvABs9XVFVwyYxLtvT0uPFGeP996NIFnn0WsjQdRymlWjO9Cqh6hr82nEfnPuq5rKqmipFzRlK8ONsmYmZl2ZlEt9suxaVUSimVbrSGQtUpWVjC+LnjA9fZ6tuyusGreOABOOywFJRMKaVUutOAQtUZOWckBv9xSfI2wYwXsuoGr+L3v5n9VQcAAA5zSURBVE9h6ZRSSqUzDShUncA5Mww8OTOD3X7dbAevmjABRFJXOKWUUmlNA4pWIJqpySF4CO5bPs3hzK9qoX37Rg9epZRSquXRgKKFCw2rXVZehsEEzsvhNQ6FIDyQfQpjZm+2Tzz1lA5epZRSqgENKFo4v6nJr3796ga1Fu5xKEITer142FiueeAjqK2FW26hpNv6qGo7/GpFoq0tUUop1bzo5GBpJBmTg2WMzghMtAxpl92u4WygGzfCUUfBZ5/BCSfwzD1D+N2sK+oFKF6v85psrF12O4b2HsrkLyZHfL1SSsVCJwdLDxpQpJFkBBRFY4soKy+Lat0Gs4n+7nfwxBNQVARz51L09AGe2wp/nd97ZkomNaYm8vsqpVQMNKBID9rk0cIFzc8Rrl4vj8ces8FE27YwfToUFPj2Agl/3m89r2AiaH2llFLNhwYULZxXXkRBboHnunW9PN56C666yv792GOw3371l/u9zudxSKZkRvV6pZRSzY8GFK1Aca9iSq8ppXZULaXXlDJuwLgGtRZ1s4l+8w2ccQZs3gx/+hNceGHdOn69QMrKy+olWHqt1y67HcMOGOb/vkoppZo1DSjiJCL9ReRrEflORG7yWH6diCwSkQUiMkdEGk7h2US8ai0mnDKB4h0HwMknw5o1cOqpcNddvq8DG0yEEj7d3VH9tv/ISY94v68mZCqlVLOnSZlxEJFM4BvgeGA58BlwnjFmkWudY4FPjDEbRORK4BhjzDlB201GUmbUNm6EAQPgnXegd287k2henu/qfomXmmCplEo1TcpMD1pDEZ+DgO+MMUuMMVXAc8Ag9wrGmLeNMaH+kR8DO6W4jNGrqYHiYhtMbL89vPJKYDAB/omUmmCplFKtkwYU8dkRWOZ6vNx5zs+lwOtJLVG8jIErr7Q9OfLzYfZs2HnniC+LNkFTKaVU66ABRZKJyBCgD3Cfz/JhIjJXROauWLEitYUzBm68ER5/3HYPffVV2Gcf39Xdo1xWVFWQnZFdb7kmWCqlVOulAUV8fgDct/E7Oc/VIyL9gJHAqcaYTV4bMsZMMMb0Mcb06dy5c1IK68kYuO46uO8+yMqC55+HI47wXT18TpBVlasQEQpyCzTBUimlFFlNXYBm6jOgu4jsgg0kzgXOd68gIvsBjwH9jTG/pr6IAWpq4I9/hEceoSoTzj5zM/O/u4oxC8t9AwKvOUGqaqrIy8lj5YiVqSi1UkqpNKYBRRyMMZtF5CpgNpAJTDTGfCUitwNzjTEzsU0cecDzIgKw1BhzapMVOqSiwiZgzpzJxiwYfDa8vjvgdPsEPIMKTcJUSikVRAOKOBljZgGzwp671fV3v5QXKpLvv4czz4T58ynPzeC0s2t5Z5ctizdUb2DknJGeAUXX/K6e3UQ1CVMppRRoDkXrYAxMmgT77gvz58Nuu3HQpfWDiZCy8jLPqcX9Rr/UJEyllFKgAUXLZowdoOrww+Hii21zx1lnwaefsqmb/8CdBlNv5EtoOEpmpmTW1Wi4Aw+llFKtk46UmUbiHinz3nthq63sJF7t28Mvv8Ann9ixJT7/3K6z3XZ2vQsuAJG6XhvhiZbhwke+9Hpdu+x22sNDKdVkdKTM9KABRRqJK6CorYWOHaG83Ht5QYEduOpPf4IOHeotGv7acMbPHV83H4cXQagdVVv3WIfcVkqlGw0o0oMmZTZ31dVw5522RmLRItiwATp3hj33hBNOsPNz5OZ6vnTWt7MCgwlomHSpvT2UUkp50YCiuWvTBoYPt/9iFCkI8Eq61N4eSimlvGhSZisWFAT4jXypvT2UUkp50YCiFfMLDqYMnkLpNaWeSZbu3h465LZSSqkQTcpMI3H38miEkoUljJwzkqXlS+ma35UxfcdocKCUalY0KTM9aECRRpoioFBKqeZOA4r0oE0eSimllGo0DSiUUkop1WgaUCillFKq0TSgUEoppVSjaUDRgpUsLKFobJHn7KFKKaVUIulImS1U+CReodlDAe0WqpRSKuG0hqKFGjlnZIOZREPTjSullFKJpgFFC6WTeCmllEolDShaKL95OnQSL6WUUsmgAUWcRKS/iHwtIt+JyE0ey9uIyFRn+SciUpTK8ukkXkoppVJJA4o4iEgm8DAwAOgBnCciPcJWuxT4zRizG/AAcE8qy6iTeCmllEol7eURn4OA74wxSwBE5DlgELDItc4g4Dbn7xeAh0RETAonTynuVRxTAKEThSmllIqX1lDEZ0dgmevxcuc5z3WMMZuBcqAgfEMiMkxE5orI3BUrViSpuJGFupmWlZdhMHXdTHXsCqWUUtHQgKKJGWMmGGP6GGP6dO7cucnKod1MlVJKNYYGFPH5AdjZ9Xgn5znPdUQkC8gHVqWkdHHQbqZKKaUaQwOK+HwGdBeRXUQkBzgXmBm2zkxgqPP3mcBbqcyfiJV2M1VKKdUYGlDEwcmJuAqYDSwGphljvhKR20XkVGe1fwIFIvIdcB3QoGtpOtFupkoppRpDe3nEyRgzC5gV9tytrr83AmelulzxCPXu2FC9gUzJpMbUUJhfqL08lFJKRU0DilYufBKxGlNTVzOhwYRSSqloaZNHK6e9O5RSSiWCBhStnPbuUEoplQgaULRy2rtDKaVUImhA0cpp7w6llFKJoAFFK6eTiCmllEoESeOxllqdPn36mLlz5zZ1MZRSqlkRkXnGmD5NXY7WTmsolFJKKdVoGlAopZRSqtE0oFBKKaVUo2lAoZRSSqlG04BCKaWUUo2mAYVSSimlGk0DCqWUUko1mo5DkUZEZAVQFufLOwErE1icRNFyxUbLFRstV2xaarkKjTGdE1UYFR8NKFoIEZmbjgO7aLlio+WKjZYrNloulUza5KGUUkqpRtOAQimllFKNpgFFyzGhqQvgQ8sVGy1XbLRcsdFyqaTRHAqllFJKNZrWUCillFKq0TSgUEoppVSjaUDRjIjIWSLylYjUiohvFysR6S8iX4vIdyJyk+v5XUTkE+f5qSKSk6BydRSRf4nIt87/23isc6yIzHf92ygipznLJonI/1zL9k1VuZz1alzvPdP1fFN+XvuKyEfO971ARM5xLUvo5+V3vLiWt3H2/zvn8yhyLbvZef5rETmxMeWIo1zXicgi5/OZIyKFrmWe32mKynWRiKxwvf9lrmVDne/9WxEZmuJyPeAq0zcissa1LJmf10QR+VVEvvRZLiLyoFPuBSKyv2tZ0j4vlQTGGP3XTP4BewF7AO8AfXzWyQS+B3YFcoAvgB7OsmnAuc7f44ErE1Sue4GbnL9vAu6JsH5HYDXQznk8CTgzCZ9XVOUCKnyeb7LPC9gd6O783QX4Cdg60Z9X0PHiWmc4MN75+1xgqvN3D2f9NsAuznYyU1iuY13H0JWhcgV9pykq10XAQx6v7Qgscf7fxvl7m1SVK2z9PwATk/15Ods+Ctgf+NJn+UDgdUCAQ4BPkv156b//b+d8Quso4jj++UloexC1VqjRFm2g0ItgoRTRQ6WW+ueQVCwSoVg0BwteBZFcRBC9efIgFMQ/kIKRYkQlNCbFi0E9KEFL27QebKwNVO1FeEb9eph5Mk32vbxkd/bF8PvA8nZ/b2b2m+9Mdmd2dl6ezZ9Q/I+QdEbS2WWS7QVmJV2U9CdwAhgwMwP2A6Mx3TvAoYqkDcTyOi33MPCZpD8qOn8rVqrrP7rtl6Rzks7H/Z+BeSDHLwEWtpc2ekeBh6I/A8AJSQ1JPwKzsbxadEmaStrQNLCtonOX0tWGh4FTkn6V9BtwCnikS7qeAkYqOndbJH1BGEC0YgB4V4Fp4BYz6yWvX04GvEOx/rgT+Ck5vhRjW4DfJf21KF4FWyVdjvu/AFuXST/I0ovZq/Fx5xtmtrFmXZvM7Bszm25Ow7CG/DKzvYRR54UkXJVfrdpLYZroxzWCP53kzakrZYgwym1SVKd16noi1s+omW1fYd6cuohTQzuAySScy69OaKU9p19OBnq6LcC5HjObAG4v+GpY0kd162nSTld6IElm1nItchx53AOMJ+GXCDfWDYT16C8Cr9So6y5Jc2bWB0ya2QzhprlqKvbrPeCopH9ieNV+rUfM7AiwB9iXhJfUqaQLxSVUzsfAiKSGmT1HeLqzv6Zzd8IgMCrp7yTWTb+cdYJ3KNYYkg6ULGIO2J4cb4uxq4RHiT1xlNmMl9ZlZlfMrFfS5XgDnG9T1JPASUkLSdnN0XrDzN4GXqhTl6S5+HnRzE4Du4EP6bJfZnYT8AmhMzmdlL1qvwpo1V6K0lwysx7gZkJ76iRvTl2Y2QFCJ22fpEYz3qJOq7hBLqtL0tXk8DjhnZlm3gcX5T1dgaaOdCUMAs+ngYx+dUIr7Tn9cjLgUx7rj6+BnRZWKGwgXDzGJAmYIry/AHAUqOqJx1gsr5Nyl8zdxptq872FQ0Dh2+A5dJnZ5uaUgZndBjwA/NBtv2LdnSTMLY8u+q5KvwrbSxu9h4HJ6M8YMGhhFcgOYCfwVQktK9JlZruBt4B+SfNJvLBOa9TVmxz2A2fi/jhwMOrbDBzk+id1WXVFbbsILzh+mcRy+tUJY8DTcbXHfcC12GnO6ZeTg26/Fepb5xvwOGEesQFcAcZj/A7g0yTdY8A5wghjOIn3ES74s8AHwMaKdG0BPgfOAxPArTG+BziepLubMOq4YVH+SWCGcGN8H7ixLl3A/fHc38XPobXgF3AEWAC+TbZ7c/hV1F4IUyj9cX9T/Ptnox99Sd7hmO8s8GjF7X05XRPx/6Dpz9hydVqTrteA7+P5p4BdSd5no4+zwDN16orHLwOvL8qX268RwiqlBcL1awg4BhyL3xvwZtQ9Q7KCLadfvlW/+U9vO47jOI5TGp/ycBzHcRynNN6hcBzHcRynNN6hcBzHcRynNN6hcBzHcRynNN6hcBzHcRynNN6hcBzHcRynNN6hcBzHcRynNP8CX7wyYKGKJRUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times = []\n",
    "errs = []\n",
    "for i in range(0, 10):\n",
    "    plt.figure()\n",
    "    plot_regression(x, y, i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Maybe we can do better"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_regression(x, y, 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HWMLV/PXJdSCcFG/m7buihwGHJOZdTBj37kcImAqHEgpvFiu3vFbCyWZfwsHXn3BXdqebiEqsS6+4/35BuKGvD2/fBLgH4Saaj8TlXk/HO5dvJETC/YH96XjXc27fjCpR7q1xvbYm/GDuQhz+oEg3dIm0LrWNKrbFkLgOn4nb4QeUfiqhF+Hq4DfFyiDc9zAy7pMRhKuEaxP5FxBOOtsR7ib+E4khIcJJug+hPR8cPydvyO0T29L8+Dl3V/dWhDade91EuGFzcKxLMu9f4jYalph/77huWxPGyv9cZN3+B7igIK13wbLPJPw475Bos88AXyuxPU/i7fY9lnDy/FH8vjVhiOPouO47EG5w/F7MP5AQQO+VWIdlhBMhhAuSneLnkcAfgV8XnG9mlKjX7oTAfGAi7fxy7Yzy56BPEZ7syh0nA4HPVtk+c3f0nxm39xmUfyqh3PFZ8tgmtMlJhGOqkXB/zht0fAqk3L6cQGjTRggYFxFvUq20DpRp2zH/OuB3hHY+nHD/w4kxb0/Cb9DnStTr3XG+ZsI9b6/Q8WbED8T1HUI43yZvzhzP2+f8bQhPzeRu5Kx0LhhMOL9ZnP8fwJRE/r2EIY6+8TWVjjdBlztHV1rncwjnyB2K5Zdsa1U0xucpHRgMjztpeWwopyTyzqdzYPBNioz7Uj4waCD8aC8g3Gl8PfHxKTYvMGgkdPGsIvxQf52Oj2Z2qn9Bnc+ODaXYUwl9CDd4PRuXPw/4UsHOys17apx3ROG6J6avtLzxhB+ZFXFdfkkMDAjR50/LrMeMWH7ydVwi/2jCXcNvEH7MBxc0+N/EvBeAoxN5H4nbs9O4ZOKEeGXcXysJN7ROKtxPiemLpXWpbcT0ucAxZbbHQYSTzRrCFfGoRF5+WxJ+jJww7PV64vWRmH8W4YS4Otbvcjrej9OLcAJYEdvC5UCfguOucL+MinnjiuTdV2b/dnpcsczxc0PcHysJQcV2BfMMI940WuG80WF/Ea7AvGBbvZ7Iv5ZwgnsjrvslBdvjY4Q2vjJur58R7+qO+WcQ7kF4jXCcfDWRd2FsZ2/E92lASyL/boqMUyfypxMCjRWUfiqhqnNQ/P4Fwjj0qtg2pifybge+UaYuexOeoFoD/A3YO5H3DeD2ao7Pcsc24Yfxj3F9V8W6Jp84q7Qvb4jb63XCsfSlLqzDOMq0bUKQeGPczwsIx38uYL6Wjk+QvE7iKRvCI8BL4/reD7QW1Ov+uNzlhCGK/gX5uSG2VbGs3OOclc4FuxF6O1YTgp2zCpY7mhBYLItl/4F4P16lc3QV6+yE3tlkfsn2lXvlNmgq4h9XmOLuH6448TuEmb2bEEH29iLjvlllZt8Elrr7VRUnFqkTM2sm3GH+XndfV+/6iGwJUgsM4g1L9xCeRrgulUK3UGb2KcKjP7mhhI3uPrH8XCIiIrWXyj9RMrNDCF04LxPGSd7pTib8QZ5nCPc1nFp+chERkXSkOpQgIiIiWzb922URERHJa6o8iXSnbbfd1keNGlXvaoiIZMYjjzzyirsPqTyldAcFBikbNWoUc+bMqXc1REQyw8zmV55KuouGEkRERCRPgYGIiIjkKTAQERGRPAUGIiIikqfAQERERPIUGIiIiEieAgMRERHJU2CQBUuWwAEHwGc+U++aiIhID6c/cJQF69bBn/4EQ4fWuyYiItLDqccgCxribtq4sb71EBGRHk+BQRaYhXcFBiIiUmMKDLIg12Ogf5EtIiI1psAgCzSUICIiKVFgkAUKDEREJCUKDLJAgYGIiKREgUEWKDAQEZGUKDDIAgUGIiKSEgUGWaDHFUVEJCUKDLJAjyuKiEhKekRgYGZfMbO5ZvYPM7vBzPqY2Wgze9DM2s3sJjNrjtP2jt/bY/6oxHLOielPmtkhifTxMa3dzM5OpBcto9tpKEFERFKS+cDAzIYBXwJa3X1PoBGYBPwAuNTddwVeBU6Ms5wIvBrTL43TYWZj43x7AOOBqWbWaGaNwE+AQ4GxwFFxWsqU0b0UGIiISEoyHxhETUBfM2sC+gGLgY8Bt8T8mcDE+HlC/E7MbzMzi+k3uvtad38OaAf2ia92d3/W3d8CbgQmxHlKldG9FBiIiEhKMh8YuPsi4IfAC4SAYCXwCLDC3dfHyRYCw+LnYcCCOO/6OH1LMr1gnlLpLWXK6MDMppjZHDObs3Tp0q6vpAIDERFJSeYDAzMbRLjaHw0MBfoThgK2GO4+zd1b3b11yJAhXV9A7qmEsLDuq5iIiEiBzAcGwEHAc+6+1N3XAb8G9ge2iUMLAMOBRfHzImAEQMwfCCxLphfMUyp9WZkyup8eWRQRkRT0hMDgBWA/M+sXx/3bgCeAe4Ej4jSTgVvj59nxOzH/Hnf3mD4pPrUwGhgDPAQ8DIyJTyA0E25QnB3nKVVG99MjiyIikoLMBwbu/iDhBsC/AY8T1mka8B/AWWbWTrgf4Jo4yzVAS0w/Czg7LmcucDMhqPgDcLq7b4j3EJwB3AHMA26O01KmjO6n+wxERCQF5roCTVVra6vPmTOn6zP26QNr18KaNeGziMg7hJk94u6t9a7HO0XmewzeMdRjICIiKVBgkBUKDEREJAUKDLJCgYGIiKRAgUFW6HFFERFJgQKDrNDjiiIikgIFBlmhoQQREUmBAoOsUGAgIiIpUGCQFQoMREQkBQoMskKBgYiIpECBQVboqQQREUmBAoOsUI+BiIikQIFBVuhxRRERSYECg6xQj4GIiKRAgUFWKDAQEZEUKDDICgUGIiKSAgUGWaHAQEREUqDAICv0uKKIiKRAgUFW6KkEERFJgQKDrNBQgoiIpECBQVYoMBARkRQoMMgKBQYiIpICBQZZocBARERSoMAgKxQYiIhIChQYZIUeVxQRkRQoMMgKPa4oIiIpUGCQFRpKEBGRFCgwyAoFBiIikgIFBlmhwEBERFKgwCArFBiIiEgKFBhkhQIDERFJgQKDrNDjiiIikgIFBlmhxxVFRCQFCgyyQkMJIiKSAgUGWaHAQEREUtAjAgMz28bMbjGzf5rZPDP7oJkNNrM7zezp+D4oTmtmdrmZtZvZY2b2/sRyJsfpnzazyYn0D5jZ43Gey83CgH+pMmpCgYGIiKSgRwQGwGXAH9x9d+B9wDzgbOBudx8D3B2/AxwKjImvKcCVEH7kgfOAfYF9gPMSP/RXAl9MzDc+ppcqo/spMBARkRRkPjAws4HAAcA1AO7+lruvACYAM+NkM4GJ8fME4DoPHgC2MbMdgUOAO919ubu/CtwJjI95W7v7A+7uwHUFyypWRvdTYCAiIinIfGAAjAaWAtea2f+Z2dVm1h/Y3t0Xx2leAraPn4cBCxLzL4xp5dIXFkmnTBkdmNkUM5tjZnOWLl26KeuoxxVFRCQVPSEwaALeD1zp7nsDb1DQpR+v9Gv6nF+5Mtx9mru3unvrkCFDNq0APa4oIiIp6AmBwUJgobs/GL/fQggUXo7DAMT3JTF/ETAiMf/wmFYufXiRdMqU0f00lCAiIinIfGDg7i8BC8zsXTGpDXgCmA3kniyYDNwaP88Gjo1PJ+wHrIzDAXcAB5vZoHjT4cHAHTFvlZntF59GOLZgWcXK6H4KDEREJAVN9a5AN/k3YJaZNQPPAscTgp6bzexEYD5wZJz2NuAwoB1YHafF3Zeb2XeAh+N0F7j78vj5NGAG0Be4Pb4Avl+ijO6nwEBERFLQIwIDd/870Fokq63ItA6cXmI504HpRdLnAHsWSV9WrIyaUGAgIiIpyPxQwjuGAgMREUmBAoOs0OOKIiKSAgUGWaHHFUVEJAUKDLJCQwkiIpICBQZZocBARERSoMAgKxQYiIhIChQYZIUCAxERSYECg6zQUwkiIpICBQZZoR4DERFJgQKDrNDjiiIikgIFBlmhHgMREUmBAoOsUGAgIiIpUGCQFQoMREQkBQoMskKBgYiIpECBQVbocUUREUmBAoOs0FMJIiKSAgUGWaGhBBERSYECg6xQYCAiIilQYJAVCgxERCQFCgyyQoGBiIikQIFBVigwEBGRFCgwyIrc44obNtS3HiIi0qMpMMiKxsbwrh4DERGpIQUGWdHUFN7Xr69vPUREpEdTYJAVuR4DDSWIiEgNKTDICgUGIiKSAgUGWaGhBBERSYECg6xQj4GIiKRAgUFWKDAQEZEUKDDIitxQggIDERGpIQUGWZHrMdA9BiIiUkMKDLJCQwkiIpICBQZZoaEEERFJgQKDrNBQgoiIpKDHBAZm1mhm/2dmv4vfR5vZg2bWbmY3mVlzTO8dv7fH/FGJZZwT0580s0MS6eNjWruZnZ1IL1pGTWgoQUREUtBjAgPgTGBe4vsPgEvdfVfgVeDEmH4i8GpMvzROh5mNBSYBewDjgakx2GgEfgIcCowFjorTliuj+2koQUREUtAjAgMzGw4cDlwdvxvwMeCWOMlMYGL8PCF+J+a3xeknADe6+1p3fw5oB/aJr3Z3f9bd3wJuBCZUKKP7aShBRERS0CMCA+DHwNeB3P8kbgFWuHvuV3QhMCx+HgYsAIj5K+P0+fSCeUqllyujAzObYmZzzGzO0qVLN20NNZQgIiIpyHxgYGYfB5a4+yP1rksp7j7N3VvdvXXIkCGbthANJYiISAqa6l2BbrA/8EkzOwzoA2wNXAZsY2ZN8Yp+OLAoTr8IGAEsNLMmYCCwLJGek5ynWPqyMmV0Pw0liIhICjLfY+Du57j7cHcfRbh58B53Pwa4FzgiTjYZuDV+nh2/E/PvcXeP6ZPiUwujgTHAQ8DDwJj4BEJzLGN2nKdUGd1PQwkiIpKCzAcGZfwHcJaZtRPuB7gmpl8DtMT0s4CzAdx9LnAz8ATwB+B0d98QewPOAO4gPPVwc5y2XBndT0MJIiKSgp4wlJDn7vcB98XPzxKeKCic5k3gsyXmvxC4sEj6bcBtRdKLllETGkoQEZEU9OQeg55FQwkiIpICBQZZoaEEERFJgQKDrNBQgoiIpECBQVZoKEFERFKgwCArNJQgIiIpUGCQFRpKEBGRFCgwyAoNJYiISAoUGGSFAgMREUmBAoOsyN1joKEEERGpIQUGWaEeAxERSYECg6xQYCAiIilQYJAVGkoQEZEUKDDICvUYiIhIChQYZIUCAxERSYECg6zQUIKIiKRAgUFWqMdARERSoMAgKxQYiIhIChQYZEVDA5iFzxs31rcuIiLSYykwyBL9IyUREakxBQZZouEEERGpMQUGWZJ7MkGBgYiI1IgCgyzRUIKIiNSYAoMs0VCCiIjUmAKDLNFQgoiI1JgCgyzRUIKIiNSYAoMs0Z9FFhGRGlNgkCXNzeF93br61kNERHosBQZZkgsM3nqrvvUQEZEeS4FBligwEBGRGlNgkCUKDEREpMYUGGSJAgMREakxBQZZosBARERqTIFBligwEBGRGst8YGBmI8zsXjN7wszmmtmZMX2wmd1pZk/H90Ex3czscjNrN7PHzOz9iWVNjtM/bWaTE+kfMLPH4zyXm5mVK6NmFBiIiEiNZT4wANYDX3X3scB+wOlmNhY4G7jb3ccAd8fvAIcCY+JrCnAlhB954DxgX2Af4LzED/2VwBcT842P6aXKqA0FBiIiUmOZDwzcfbG7/y1+fg2YBwwDJgAz42QzgYnx8wTgOg8eALYxsx2BQ4A73X25u78K3AmMj3lbu/sD7u7AdQXLKlZGbSgwEBGRGst8YJBkZqOAvYEHge3dfXHMegnYPn4eBixIzLYwppVLX1gknTJlFNZripnNMbM5S5cu7fqK5SgwEBGRGusxgYGZDQB+BXzZ3Vcl8+KVvtey/HJluPs0d29199YhQ4ZseiEKDEREpMZ6RGBgZr0IQcEsd/91TH45DgMQ35fE9EXAiMTsw2NaufThRdLLlVEbCgxERKTGMh8YxCcErgHmufuPElmzgdyTBZOBWxPpx8anE/YDVsbhgDuAg81sULzp8GDgjpi3ysz2i2UdW7CsYmXURu/e4V2BgYiI1EhTvSvQDfYHvgA8bmZ/j2nfAL4P3GxmJwLzgSNj3m3AYUA7sBo4HsDdl5vZd4CH43QXuPvy+Pk0YAbQF7g9vihTRm2ox0BERGos84GBu98PWInstiLTO3B6iWVNB6YXSZ8D7FkkfVlnVX0pAAAOsklEQVSxMmpGgYGIiNRY5ocS3lEUGIiISI0pMMiSXGCwdm196yEiIj2WAoMsUY+BiIjUmAKDLFFgICIiNabAIEsUGIiISI0pMMgSBQYiIlJjCgyyRIGBiIjUmAKDLFFgICIiNabAIEsUGIiISI0pMMiSPn3C+5tv1rceIiLSYykwyJL+/cP7G2/Utx4iItJjKTDIklxg8Prr9a2HiIj0WAoMsmTAgPCuHgMREakRBQZZoqEEERGpMQUGWaKhBBERqTEFBlnSr194X70aNm6sb11ERKRHUmCQJQ0NbwcHa9bUty4iItIjKTDIGg0niIhIDSkwyBrdgCgiIjWkwCBrco8sqsdARERqQIFB1qjHQEREakiBQdYoMBARkRpSYJA1uvlQRERqSIFB1gwaFN5ffbW+9RARkR5JgUHWbLddeF+ypL71EBGRHkmBQdYMGRLely6tbz1ERKRHUmCQNeoxEBGRGlJgkDW5HgMFBiIiUgMKDLIm12OgoQQREakBBQZZox4DERGpIQUGWbPDDuG/LC5eDGvX1rs2IiLSwygwyJo+fWDnnWHDBnjqqXrXRkREehgFBlm0xx7h/Ykn6lsPERHpcRQYZNHYseH90UfrWw8REelxmupdgawzs/HAZUAjcLW7f7/mhR5wAFx0Ecyezayj9uDcu89l/sr5NFojG3wDIweO5MK2CwE48/YzWbZmWVWLbbIm1vv6onktfVu47NDLOOY9x+TTZj0+q8Py+/fqT5+mPixbsyxfl2LaRrfRvry9Q51b+rbw5vo3eWPdpv1zqAZroFdDL9ZuWNuhvn9+4c9c9chVbPSNVS+rf6/+7Dd8P+57/r5O6zCgeQC9G3uzfM1ydhq4E4eNOYzrHr0uX+8Ga+DkD5zM/jvtzym/O4XX3+r4Py0Mw/F8OX2a+uSXdWHbhRzznmOY9fis/D4t1NK3hbUb1nZabilto9v4+0t/L9sGWvq2cOQeR3Lb07cxf+V8Gqyhw/ZK7vtZj88qul6FGq2RcaPG0b68nRdWvpDfVrkyktuhWNsqlNwm5dpWruwNvqHTejQ1NLF+Y/H2ndM2uo3j9z6eyb+ezAbeLsMw+vXq16l9DmgewE8//tOyx0VSqX2edNrvT6uqzfbvFf5vSrLtbfSNVa93S98WgHxddh28a77NN1gDfZv6snrd6vy+u3nuzVWfS6rZp7LlMnevdx0yy8wagaeAfwUWAg8DR7l7yT7+1tZWnzNnzuYVvG5duAlx+XImf66Z63Z/C6zjJL0aeuF4xRNhV/Rq6MW1E6/N/0Ac/5vjWbdxXbctv7slf3yyoF+vfkx+32RmPjqT1etW17s6HTQ3NnPi3ifys7/9rFvbVHL50ydML/pDMuvxWUz57ZQtbpvkNDU0MWPijPxxccKtJ/DWhreqmrdfr35M+8S0/Hqf9vvTuHLOlbWsbmrK7dOuMrNH3L21G6olVVBgsBnM7IPA+e5+SPx+DoC7X1Rqnm4JDAAuuQS+/nUAXmuGN5tgfQM1/xlsbGhk+/7b8fIbS9iwsfRVW3dzqzxNp3m2wDI2pZwtpgzrOGF3l9HU2MSogSMLyjSeW/F81cFIvbZVr8Ymdhm0C8+8+gzrNnSua7kyejU0sevgXQGY98o/S5ZRsV5bWLvaYDB35wEcc8M/YOTIyjOUocAgXQoMNoOZHQGMd/eT4vcvAPu6+xkF000BpgDstNNOH5g/v3MXcZdt3Mh5bY2c/hBst2VeSImIhD/K9re/wbBhm7wIBQbp0j0GKXD3acA0CD0G3bLQhgZmThjJBQfOZ+Cb0LwBmqofRt9kw7cexkNffIh9frYPC1ctqn2BdBolqW6eLm7lNMqoppxGa2BDYny4FmV0mr7KMpJ1q0UZw7Yayh+P/+PbCfGiZdyMcSx67cVuKaPTPF2dvkQZw7Yayt2T76ZtZlunulYqY+hWQ7n72LsA2HPqnmzc2PUDuVb7fHPK2Got/Pje3uzz3JJwT9QVV3S9UKkLBQabZxEwIvF9eExLxYVtFzLlt1NYaZ27DGp1j8ElE38AQ4dy5qd/oHsMutk7/R6Db0+4GHbdtVPeFyddvMXfY/CtiRfD7rtzwtEXd/keg29+4mJ497sBOGD8yT3qHoOlh50HR3wDbrwRLrsMGhvrXS2pgh5X3DwPA2PMbLSZNQOTgNlpFX7Me45h2iemMTKOyzZaOOhGDhzJtROvZcbEGfk7j6vRZKXjxJa+LfkbD3NlXzvx2g7L79+rf/57ri7FtI1u61Tnlr4t+busN0WDNdC7sXeH+v780z/n1NZTabCuNfP+vfrTNrqt6DoMaB5AS98WDGPkwJGc2npqh3o3WAOntp7K9Z++ngHNAzrNb4nrrtz2yi1r2iemMfXwqR32aaGWvi1Fl1tK2+i2im2gpW8Lp7aemi+zcHu19G1h+oTpTD18KjMmzqiq/EZrzO/n5LbKlZHcDrnll7pJrVQ7L1d2sfVoaqh8HdQ2uo3rP309jXQsw7Ci7XNA84D8jYe5uk6fML3kNi+2z5PrPfXwqVW32f69+ndqe8n3nFLr3dK3pUNdkm2+wRro36t/h33XlXNJbp8e/umzYdQoWLYM5s6ten6pL91jsJnM7DDgx4THFae7+4Xlpu+2mw9FRLJg0iS46SaYPh2OP36TFqF7DNKloYTN5O63AbfVux4iIluk3F9qnTevvvWQqmkoQUREame33cJ7e3t96yFVU2AgIiK1MyLen71wYX3rIVVTYCAiIrWTCwwWLKhvPaRqCgxERKR2dtghvC9ZApvwNxokfQoMRESkdnr1goEDQ1CwYkW9ayNVUGAgIiK1te224f2VV+pbD6mKAgMREaktBQaZosBARERqa9gw2HFHWLu23jWRKugPHImISG396lf1roF0gXoMREREJE+BgYiIiOQpMBAREZE8BQYiIiKSp8BARERE8hQYiIiISJ4CAxEREclTYCAiIiJ55u71rsM7ipktBeZv4uzbAlvi3xRVvbpG9eoa1atremK9Rrr7kO6sjJSmwCBDzGyOu7fWux6FVK+uUb26RvXqGtVLNpeGEkRERCRPgYGIiIjkKTDIlmn1rkAJqlfXqF5do3p1jeolm0X3GIiIiEieegxEREQkT4GBiIiI5Ckw2MKY2WfNbK6ZbTSzko/2mNl4M3vSzNrN7OxE+mgzezCm32Rmzd1Ur8FmdqeZPR3fBxWZ5qNm9vfE600zmxjzZpjZc4m8vdKqV5xuQ6Ls2Yn0em6vvczsr3F/P2Zmn0vkdev2KtVeEvm94/q3x+0xKpF3Tkx/0swO2Zx6bEK9zjKzJ+L2udvMRibyiu7TlOp1nJktTZR/UiJvctzvT5vZ5JTrdWmiTk+Z2YpEXk22l5lNN7MlZvaPEvlmZpfHOj9mZu9P5NVsW8lmcHe9tqAX8G7gXcB9QGuJaRqBZ4CdgWbgUWBszLsZmBQ//xQ4tZvqdTFwdvx8NvCDCtMPBpYD/eL3GcARNdheVdULeL1Eet22F7AbMCZ+HgosBrbp7u1Vrr0kpjkN+Gn8PAm4KX4eG6fvDYyOy2lMsV4fTbShU3P1KrdPU6rXccAVReYdDDwb3wfFz4PSqlfB9P8GTE9hex0AvB/4R4n8w4DbAQP2Ax6s9bbSa/Ne6jHYwrj7PHd/ssJk+wDt7v6su78F3AhMMDMDPgbcEqebCUzspqpNiMurdrlHALe7++puKr+UrtYrr97by92fcven4+cXgSVALf66W9H2Uqa+twBtcftMAG5097Xu/hzQHpeXSr3c/d5EG3oAGN5NZW9Wvco4BLjT3Ze7+6vAncD4OtXrKOCGbiq7JHf/X8JFQCkTgOs8eADYxsx2pLbbSjaDAoNsGgYsSHxfGNNagBXuvr4gvTts7+6L4+eXgO0rTD+JzielC2NX4qVm1jvlevUxszlm9kBueIMtaHuZ2T6Eq8BnEsndtb1KtZei08TtsZKwfaqZt5b1SjqRcOWZU2yfplmvz8T9c4uZjejivLWsF3HIZTRwTyK5VturklL1ruW2ks3QVO8KvBOZ2V3ADkWyznX3W9OuT065eiW/uLubWcnnXOPVwHuAOxLJ5xB+IJsJzzP/B3BBivUa6e6LzGxn4B4ze5zw47fJunl7/RyY7O4bY/Imb6+eyMw+D7QCByaSO+1Td3+m+BK63W+BG9x9rZmdTOht+VhKZVdjEnCLu29IpNVze0mGKDCoA3c/aDMXsQgYkfg+PKYtI3TTNcWrvlz6ZtfLzF42sx3dfXH8IVtSZlFHAv/t7usSy85dPa81s2uBr6VZL3dfFN+fNbP7gL2BX1Hn7WVmWwO/JwSFDySWvcnbq4hS7aXYNAvNrAkYSGhP1cxby3phZgcRgq0D3X1tLr3EPu2OH7qK9XL3ZYmvVxPuKcnNO65g3vu6oU5V1SthEnB6MqGG26uSUvWu5baSzaChhGx6GBhj4Y76ZsJJYLa7O3AvYXwfYDLQXT0Qs+Pyqllup7HN+OOYG9efCBS9g7kW9TKzQbmueDPbFtgfeKLe2yvuu/8mjL/eUpDXnduraHspU98jgHvi9pkNTLLw1MJoYAzw0GbUpUv1MrO9gauAT7r7kkR60X2aYr12THz9JDAvfr4DODjWbxBwMB17zmpar1i33Qk38/01kVbL7VXJbODY+HTCfsDKGPjWclvJ5qj33Y96dXwBnyKMta0FXgbuiOlDgdsS0x0GPEWI+M9NpO9MOHG3A78EendTvVqAu4GngbuAwTG9Fbg6Md0owpVAQ8H89wCPE37grgcGpFUv4EOx7Efj+4lbwvYCPg+sA/6eeO1Vi+1VrL0QhiY+GT/3ievfHrfHzol5z43zPQkc2s3tvVK97orHQW77zK60T1Oq10XA3Fj+vcDuiXlPiNuxHTg+zXrF7+cD3y+Yr2bbi3ARsDi25YWEe0FOAU6J+Qb8JNb5cRJPW9VyW+m16S/9SWQRERHJ01CCiIiI5CkwEBERkTwFBiIiIpKnwEBERETyFBiIiIhIngIDERERyVNgICIiInn/D2dhY6OvjjuuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_regression(x, y, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "features_100 = polynomial_features(x, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 101)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features_100.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "xTx = features_100.T.dot(features_100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "eig, _ = np.linalg.eig(xTx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.0359591529775498e-15+0j)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eig.min()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What happens if we sample new data?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(124)\n",
    "x_new, y_new = polynomial_data(coeffs, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x111998668>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y, color='green')\n",
    "plt.scatter(x_new, y_new, color='blue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4-degree polynomial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20, 10))\n",
    "plt.subplot(121)\n",
    "plot_regression(x, y, 4)\n",
    "plt.subplot(122)\n",
    "plot_regression(x_new, y_new, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 20-degree polynomial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20, 10))\n",
    "plt.subplot(121)\n",
    "plot_regression(x, y, 20)\n",
    "plt.subplot(122)\n",
    "plot_regression(x_new, y_new, 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What happens if we have more data?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_big, y_big = polynomial_data(coeffs, 100000)\n",
    "plt.figure()\n",
    "plot_regression(x_big, y_big, 4)\n",
    "plt.figure()\n",
    "plot_regression(x_big, y_big, 20)\n",
    "plt.figure()\n",
    "plot_regression(x_big, y_big, 200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Challenges with OLS / features / normal equations\n",
    "\n",
    "### How to pick features?\n",
    "\n",
    "### Sensitivity due to numerical instability / linear dependence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
