visualize_solutions.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mG61MLqci-Y8"
   },
   "source": [
    "# Rectangles visualization playground"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "n56jvXrMDwtp"
   },
   "source": [
    "Importing Code to represent rectangles and plot groups of rectangles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 281
    },
    "id": "DNSr6v0UbVEY",
    "outputId": "d7fcb291-789a-43e7-ef50-3a32abeeaff2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "from utils.utils import *\n",
    "\n",
    "plot_rectangles([Rectangle(21,6,4,8), Rectangle(15,8,63,4)])"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Plotting solutions"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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YGADo4omIiMDDhw91f0wQFZq8fXSpqsrvKR4LC4tcbZ99UmX16tUiMDBQODs7CxMTE+Hm5iZeeeUVcfbsWb35FixYILy8vISRkZEAIFauXCmEEOLChQuia9euwsrKSlSrVk28/PLL4tatW7memMhZ74MHD/KM/caNG7oyjUYjvvnmG9GoUSNhYmIibGxshJ+fn/jtt9/05t22bZsIDAwU1tbWQqVSCU9PTzFw4ECxf/9+XZsbN24IAIUanCy/p3h69eqVq62/v7/w9/fXfZ4yZYpo2bKlqFatmlCpVKJWrVpiwoQJeQ4A9qwVK1aIjh07CgcHB6FUKoWtra3w9/fPc4Cw9PR08eWXXwpfX19hZWUl7OzsRNu2bcW6det0T0IV5PTp06J9+/bC3NxcANBtQ35P8eR1Dvn7+4uGDRvmKs9rXz148EC89957wsvLSxgbGws7OzvRokULMX36dJGSkqK3rmfPg/zkHKe8pmef0vH09My3bc66cs6R/KZnz52n99vTjhw5IgCIGTNm5Bv7jh07RJcuXYSzs7NQKpXC0tJStG7dWnz77bciOztbr21BcRXmySWip0lCCFGWCRARERFRUfExYyIiIjI4TFCIiIjI4DBBISIiIoPDBIWIiIgMDhMUqvLu3buHkJAQnD59OlddXm8Lrsg2bNiABQsWyB1GsQUEBOgeIS9rkiQhJCSkWPOuWrVK92biZ6cPPvig0MvJeXFkzpu4iaoSjoNCVd69e/cwa9Ys1KxZE02bNtWrGzlyJLp37y5PYGVgw4YNOH/+PMaPHy93KFXCypUrUa9ePb0yQxuNlshQMUEhKoC7u7tuYC56Ij09HWZmZnKHUSE0atSoyKPxEtETvMVDVdqhQ4d0o88OGzZMdxk+59J+Xrd4atasid69e2Pnzp1o1qwZzMzMUL9+fezcuRPAk8v79evXh4WFBVq3bo0TJ07kWu+JEyfQt29f2NnZwdTUFM2aNcPPP/+cq9358+fRr18/VKtWDaampmjatClWr16t1ybndkJ0dHSubZMkSfem5ICAAOzatQs3b97Uu+VQkJxt3bJlC5o1awZTU1PdiLcxMTEYNWoU3N3dYWJiAi8vL8yaNSvXW49nzZqFNm3awM7ODtbW1mjevDmWL1+OvIZg2rBhA/z8/GBpaQlLS0s0bdo0z9F0IyMj0bFjR5ibm6NWrVqYO3cutFqtXpukpCR88MEH8PLygomJCapXr47x48cjNTU1V7u33noL9vb2sLS0RPfu3XH58uUC90tJXb16FcOGDYO3tzfMzc1RvXp19OnTB+fOnXvuvA8ePMDbb78NDw8PqFQqODo6on379ti/f79eu/3796Nz586wtraGubk52rdvn+dIskSGildQqEpr3rw5Vq5ciWHDhuHjjz9Gr169AOC5V03OnDmDqVOnYvr06bCxscGsWbMwYMAATJ06Fb///jtCQ0MhSRI++ugj9O7dGzdu3NBddTh48CC6d++ONm3aYMmSJbCxscHGjRvx6quvIi0tDUOHDgUAXLp0Ce3atYOTkxO+/fZb2NvbY926dRg6dChiY2MxefLkIm3rokWL8Pbbb+PatWvYunVroec7efIk/v33X3z88cfw8vKChYUFYmJi0Lp1aygUCsyYMQO1a9fGsWPH8NlnnyE6OhorV67UzR8dHY1Ro0bp3np8/PhxjBs3Dnfv3sWMGTN07WbMmIFPP/0UAwYMwKRJk2BjY4Pz58/j5s2bevHExMRgyJAhmDRpEmbOnImtW7di6tSpcHNz072NNy0tDf7+/rhz5w6mTZsGX19fREVFYcaMGTh37hz2798PSZIghED//v1x9OhRzJgxA61atcKRI0fyHZJdkiT4+/vrkr7n0Wg0uRI2pVKJe/fuwd7eHnPnzoWjoyMePXqE1atXo02bNjh16lSBQ/m/8cYbOHnyJD7//HPUrVsXjx8/xsmTJxEfH69rs27dOrz55pvo168fVq9eDWNjY/zwww/o1q0b9u7di86dOxcqfiJZyTuQLZH8IiMj9YbCf1p+Q8mbmZmJO3fu6MpOnz4tAAhXV1eRmpqqK9+2bZsAIHbs2KErq1evnmjWrFmuYcJ79+4tXF1dhUajEUII8dprrwmVSiVu3bql165Hjx7C3NxcPH78WAiR99D7QuQ9FHyvXr2KNOS4p6enMDIyEpcuXdIrHzVqlLC0tBQ3b97UK//qq68EABEVFZXn8jQajcjOzhazZ88W9vb2uqHur1+/LoyMjMSQIUMKjMff318AEH/99ZdeeYMGDUS3bt10n+fMmSMUCoXeqxSEEOLXX38VAERYWJgQQojdu3cLAOJ///ufXrvPP/88z2HojYyMRKdOnQqMUYj/jkle07PHXQgh1Gq1yMrKEt7e3mLChAm68pyh458+Ny0tLcX48ePzXXdqaqqws7MTffr00SvXaDSiSZMmonXr1s+Nn8gQ8BYPUTE0bdoU1atX132uX78+gCe3UZ5+0V5Oec5VgKtXr+LixYsYMmQIAECtVuumnj174v79+7h06RIA4MCBA+jcuTM8PDz01j106FCkpaXh2LFjZbeBT/H19UXdunX1ynbu3InAwEC4ubnpbUPOlYeIiAhd2wMHDqBLly6wsbGBkZERjI2NMWPGDMTHxyMuLg4AEB4eDo1Gg3ffffe58bi4uKB169a5Ynz6SsvOnTvRqFEjNG3aVC++bt266d32ynkjb87xyDF48OA8161Wq4t0m2TNmjWIjIzUm5RKJdRqNUJDQ9GgQQOYmJhAqVTCxMQEV65cwb///lvgMlu3bo1Vq1bhs88+w/Hjx5Gdna1Xf/ToUTx69AjBwcF6267VatG9e3dERkbmus1FZIh4i4eoGOzs7PQ+m5iYFFiekZEBAIiNjQUAfPDBB/k+bvrw4UMAQHx8PFxdXXPV5zwF8vQl/bKUVwyxsbH47bffYGxsnOc8Odvw999/IygoCAEBAVi2bJmuv8q2bdvw+eefIz09HcCTfhXA82+tAYC9vX2uMpVKpVtWTnxXr159bnzx8fFQKpW5luni4vLcOAqjfv36eXaSnThxIr7//nt89NFH8Pf3R7Vq1aBQKDBy5Ei97cjLpk2b8Nlnn+HHH3/EJ598AktLS7z44ouYN28eXFxcdOfYwIED813Go0ePYGFhUbKNIypjTFCIypGDgwMAYOrUqRgwYECebXL6H9jb2+P+/fu56u/du6e3LFNTUwBAZmamXrucX8IllVdHWgcHB/j6+uLzzz/Pc56cJGrjxo0wNjbGzp07dXECwLZt2/TaOzo6AgDu3LmT64pRcTg4OMDMzAwrVqzItx54so/VajXi4+P1kpSYmJgSx1CQnD4ioaGheuUPHz6Era1tgfM6ODhgwYIFWLBgAW7duoUdO3ZgypQpiIuLw549e3Tb9t1336Ft27Z5LsPZ2blUtoOoLDFBoSpPpVIBwHP/ci0NPj4+8Pb2xpkzZ3L9cnpW586dsXXrVty7d09v7Iw1a9bA3Nxc98unZs2aAICzZ8/qda7csWNHrmU+e6WhuHr37o2wsDDUrl0b1apVy7edJElQKpUwMjLSlaWnp2Pt2rV67YKCgmBkZITFixfDz8+vVOILDQ2Fvb09vLy88m0XGBiIefPmYf369Xjvvfd05Rs2bChxDAWRJEl33uXYtWsX7t69izp16hR6OTVq1MDYsWPx+++/48iRIwCA9u3bw9bWFhcuXMDYsWNLNW6i8sQEhaq82rVrw8zMDOvXr0f9+vVhaWkJNze3MhtQ64cffkCPHj3QrVs3DB06FNWrV8ejR4/w77//4uTJk/jll18AADNnztT19ZgxYwbs7Oywfv167Nq1C/PmzYONjQ0AoFWrVvDx8cEHH3wAtVqNatWqYevWrfjzzz9zrbtx48bYsmULFi9ejBYtWkChUBRrnI7Zs2cjPDwc7dq1w3vvvQcfHx9kZGQgOjoaYWFhWLJkCdzd3dGrVy/Mnz8fgwcPxttvv434+Hh89dVXuX4516xZE9OmTcOnn36K9PR0DBo0CDY2Nrhw4QIePnyoe7S5sMaPH4/NmzfjhRdewIQJE+Dr6wutVotbt25h3759mDRpEtq0aYOgoCC88MILmDx5MlJTU9GyZUscOXIkVwKVQ6lUwt/fv8SP6/bu3RurVq1CvXr14Ovri3/++Qdffvnlc29xJSYmIjAwEIMHD0a9evVgZWWFyMhI7NmzR3dFztLSEt999x2Cg4Px6NEjDBw4EE5OTnjw4AHOnDmDBw8eYPHixSWKn6hcyN1Ll8gQ/PTTT6JevXrC2NhY7+mN/J7i6dWrV65lABDvvvuuXlnOUxhffvmlXvmZM2fEK6+8IpycnISxsbFwcXERnTp1EkuWLNFrd+7cOdGnTx9hY2MjTExMRJMmTfJ82ujy5csiKChIWFtbC0dHRzFu3Dixa9euXE/xPHr0SAwcOFDY2toKSZJybduz8ttWIYR48OCBeO+994SXl5cwNjYWdnZ2okWLFmL69OkiJSVF127FihXCx8dHqFQqUatWLTFnzhyxfPnyPJ88WrNmjWjVqpUwNTUVlpaWolmzZnrb6+/vLxo2bJgrluDg4FxPJ6WkpIiPP/5Y+Pj4CBMTE2FjYyMaN24sJkyYIGJiYnTtHj9+LIYPHy5sbW2Fubm56Nq1q7h48WKeT/EAEP7+/gXuMyH+e4rn2aeIciQkJIgRI0YIJycnYW5uLjp06CD++OMP4e/vr7f8Z5/iycjIEKNHjxa+vr7C2tpamJmZCR8fHzFz5ky9p8eEECIiIkL06tVL2NnZCWNjY1G9enXRq1cv8csvvzw3fiJDIAmRx2hJRERERDLiY8ZERERkcJigEBERkcFhgkJEREQGhwkKERERGRwmKERERGRwmKCUE0mSKuygSYcOHdJ7f0lJrVq1CpIk4cSJE89tu2HDBixYsKBE6wsICEBAQECJllFcOdsaHR1d7GVkZ2frBjCzsbGBmZkZ6tevjylTpuQ53H1AQAAkSdJNZmZmaNKkCRYsWACtVqs7noWZnt6Gp49XSEgIJEmCQqHA9evXc8WQmpoKa2trSJKkezvzs86dOwdJkmBsbJzniLk529KoUaNi7LXcGjVqpHs30tO2bt0KSZLyHCBu7dq1kCRJN+hdYc+l6OhoSJKEVatW6crCwsIQEhKSZ/uy+H44ffo0evXqhRo1asDMzAx2dnbw8/PDunXr8mx/8uRJdOnSBZaWlrC1tcWAAQPyPLaFlXOO5DeicaNGjYr9c1mSn+mhQ4fC0tLyue3S0tIQEhJSat97f/75J3r27Ilq1arBzMwM3t7e+PTTT3O1K+3jUJExQSGDVhoJyqJFi7Bo0aLSCaicpaWloWvXrhg3bhyaNWuGn376CWFhYXjjjTewdOlSNGvWTPdywafVqlULx44dw7Fjx7Bp0yZUr14dEyZMwNSpU9G8eXNdXc7k4uKC9u3b5yp/HktLS6xcuTJX+S+//ILs7Ox834UDAD/++COAJy/gW7NmTRH2SvEEBgbi4sWLuYaxP3ToECwsLHDixAkkJyfnqlMoFHjhhRcAlOxcCgsLK/KAcyXx+PFjeHh4IDQ0FGFhYVizZg1q1qyJN954A5999ple24sXLyIgIABZWVn4+eefsWLFCly+fBkdO3bUvSfJkJTHz3RaWhpmzZpVKgnKhg0b4O/vDxsbG6xZswZhYWH46KOP8OwoHxXtOJQ5mcdhqTKQxyBeFcXBgwdzDfhVEs8bxOppvXr1yjUAV0WSs63PDkhWWG+//bYAIDZu3Jir7tKlS8LGxkY0bNhQqNVqXXleg5llZWWJWrVqCXNzc5GVlZVrWQUNyJbX8coZwG7kyJHCw8NDaDQavXk6dOggBg0aJCwsLERwcHCuZWZkZAh7e3vRpEkTUb16dVG3bt08153fwGzFsXnzZgFA/PTTT3rlvr6+4v333xfGxsYiLCxMr65WrVqiRYsWRV7XswOsCSHEu+++m+/AeOX5/dCmTRvh4eGhV/byyy8LBwcHkZiYqCuLjo4WxsbGYvLkycVaT8458uDBgzzrGzZsWKhB70pbcHCwsLCweG67Bw8e5DlYX1HduXNHWFhYiHfeeee5bcviOFRkvIJSzn744QfUrVsXKpUKDRo0wMaNG3O1OX/+PPr164dq1arB1NQUTZs2xerVq/Xa5HfrIK/bMTmXySMjI9GxY0eYm5ujVq1amDt3LrRard78Fy9eRPfu3WFubg4HBweMHj0611+VBfnzzz/RuXNnWFlZwdzcHO3atcOuXbvybJuQkIBhw4bBzs4OFhYW6NOnj96lzICAAOzatQs3b97MddsBAGbNmoU2bdrAzs4O1tbWaN68OZYvX57rr5JnLwfnXH7/6quvMH/+fHh5ecHS0hJ+fn44fvx4rjhPnDiBvn37ws7ODqampmjWrBl+/vnnXO2OHz+O9u3bw9TUFG5ubpg6dSqys7MLve+eFRMTgxUrVqBbt2549dVXc9XXrVsXH330EaKionK9fO9ZxsbGaNGiBdLS0kr1L7Hhw4fj9u3bCA8P15VdvnwZf/75J4YPH57vfNu2bUN8fDxGjhyJ4OBg3TxlKefW19M/G/Hx8Th37hx69eqFFi1a4ODBg7q627dv4/r16wgMDNRbxrO3Fu7du4dXXnkFVlZWsLGxwauvvprrKs3QoUPx/fffA4Deufzsz+/atWtRv359mJubo0mTJti5c2fpbPxTHBwcoFT+95YTtVqNnTt34qWXXoK1tbWu3NPTE4GBgdi6dWupx5CfrKwsfPbZZ6hXrx5UKhUcHR0xbNiwXOdsXsfhzp07GDhwIKysrGBra4shQ4YgMjIy1622HFevXkXPnj1haWkJDw8PTJo0SffCzejoaN0LLGfNmqU7XvndrizIjz/+iNTUVHz00UcFtjOk42AomKCUox07duDbb7/F7Nmz8euvv8LT0xODBg3Cr7/+qmtz6dIltGvXDlFRUfj222+xZcsWNGjQAEOHDsW8efOKve6YmBgMGTIEr7/+Onbs2IEePXpg6tSpevejY2Nj4e/vj/Pnz2PRokVYu3YtUlJSCn1vPCIiAp06dUJiYiKWL1+On376CVZWVujTpw82bdqUq/2IESOgUCh0t3H+/vtvBAQE4PHjxwCeXMZt3749XFxc8rztEB0djVGjRuHnn3/Gli1bMGDAAIwbNy7P+7p5+f777xEeHo4FCxZg/fr1SE1NRc+ePZGYmKhrc/DgQbRv3x6PHz/GkiVLsH37djRt2hSvvvqq3pfehQsX0LlzZzx+/BirVq3CkiVLcOrUqVyX0oH/ksu8vjSfdvDgQajVavTv3z/fNjl1TycI+bl27RqUSmWBL/crKm9vb3Ts2FHvrcErVqxAzZo10blz53znW758OVQqFYYMGYLhw4dDkiQsX7681OLKi52dHXx9ffWSkIiICBgZGaFdu3bw9/fXS15y2j2doDwrPT0dXbp0wb59+zBnzhz88ssvcHFxyZVQfvLJJxg4cCAA6J3Lrq6uuja7du3CwoULMXv2bGzevBl2dnZ48cUXc/U/kCSpSP0vtFot1Go1Hjx4gEWLFmHv3r16vyyvXbuG9PR0+Pr65prX19cXV69eRUZGRqHX9yyNRgO1Wp1ryivOfv36Ye7cuRg8eDB27dqFuXPnIjw8HAEBAQW+5DI1NRWBgYE4ePAgvvjiC/z8889wdnbOM7EHnvTr6tu3Lzp37ozt27dj+PDh+Oabb/DFF18AAFxdXbFnzx4AT76nco7XJ598oltGYY/D4cOHYWdnh4sXL6Jp06ZQKpVwcnLC6NGjkZSUpGtX1sehQpL7Ek5VAUCYmZnpvQNErVaLevXqiTp16ujKXnvtNaFSqcStW7f05u/Ro4cwNzcXjx8/FkLkf+sgr9sx/v7+AoD466+/9No2aNBAdOvWTff5o48+EpIkidOnT+u169q1a6Fu8bRt21Y4OTmJ5ORkvW1s1KiRcHd3F1qtVi/2F198UW/+I0eOCADis88+05UV9haPRqMR2dnZYvbs2cLe3l63rpztz+v9Jo0bN9a7NfL333/nugVQr1490axZM5Gdna23vt69ewtXV1fdrY1XX3013+P77HFavXq1MDIyEqtXry5wm+bOnSsAiD179uTbJj09XQAQPXr00Nvehg0biuzsbJGdnS3u3bsnpkyZIgCIl19+Oc/lFPcWz4MHD8TKlSuFSqUS8fHxQq1WC1dXVxESEiKEEHne4omOjhYKhUK89tprejFbWFiIpKQkvbaleYtHCCHGjx8vAIh79+4JIYQYN26caNu2rRBCiLCwMGFkZKS7vD5s2DBhZGSkF9Oz59LixYsFALF9+3a99bz11ltFvsXj7Oyst66YmBihUCjEnDlz9NoaGRmJTp06FXqbR40aJQAIAMLExEQsWrRIrz7n5+7ZW19CCBEaGqq3v4oi5xwpaHp6X/70008CgNi8ebPeciIjIwUAvbifPQ7ff/+9ACB2796d57Y/fRyCg4MFAPHzzz/rte3Zs6fw8fHRfX7eLZ7CHgcfHx9hamoqrKysRGhoqDh48KCYN2+eMDMzE+3bt9d9V5XVcajIeAWlHHXu3BnOzs66z0ZGRnj11Vdx9epV3LlzBwBw4MABdO7cGR4eHnrzDh06FGlpaYXquJgXFxcXtG7dWq/M19cXN2/e1H0+ePAgGjZsiCZNmui1Gzx48HOXn5qair/++gsDBw7U6yFvZGSEN954A3fu3MnVmXPIkCF6n9u1awdPT0+9v3ALcuDAAXTp0gU2NjYwMjKCsbExZsyYgfj4eMTFxT13/l69esHIyEj3Oecvl5x9cvXqVVy8eFEX59N//fXs2RP379/XbdPBgwfzPb7PevPNN6FWq/Hmm28WajsL4+lbXwAQFRUFY2NjGBsbw83NDV9//TWGDBmCZcuWldo6c7z88sswMTHB+vXrERYWhpiYmAIvha9cuRJarVbvFtDw4cORmpqa55W20pRzNSTnSsmhQ4d0fwV36NABwJO/eHPqWrZsCSsrq3yXd/DgQVhZWaFv37565YX5mckrtqfX5ezsDCcnJ72fUeDJeViUtylPmzYNkZGR2LVrF4YPH46xY8fiq6++ytXu2XOosHXPs3//fkRGRuaaateurddu586dsLW1RZ8+ffR+1po2bQoXF5cCO6tGRETAysoK3bt31ysfNGhQvtvTp08fvbJnvw+fp7DHQavVIiMjA9OmTcPUqVMREBCADz/8EHPmzMGRI0dyLaOsjkNFpHx+EyotLi4u+ZbFx8fD3d0d8fHxepd9c7i5uenaFYe9vX2uMpVKpXfZND4+Hl5eXoWK+1kJCQkQQhQp9vz2R2G28e+//0ZQUBACAgKwbNkyuLu7w8TEBNu2bcPnn39e4OXgHM/uE5VKBQC6eWNjYwEAH3zwAT744IM8l5HzCGV8fHyBx7c4atSoAQC4ceNGvm1y6p5NaGvXro2NGzdCkiSYmprCy8sL5ubmxY6lIBYWFnj11VexYsUKeHp6okuXLvD09MyzrVarxapVq+Dm5oYWLVrobud16dIFFhYWWL58OUaOHFkmcQKAv78/FAoFDh48iKCgIJw/f15369TKygrNmjXDoUOH4Ovrixs3buR7iyBHfHy8XlKaozjHvTA/o8VRo0YN3bnUs2dPAMDUqVMRHBwMR0dH3Xrz+rl79OgRJEmCra1tsdffpEkTODg45Co3NTXV+xwbG4vHjx/DxMQkz+Xk97gykP9xyKsMAMzNzXOtX6VSlcktFHt7e1y5cgXdunXTK+/RowfGjx+ve6y4rI9DRcQEpRw923Hu6bKck9Pe3j7PMSHu3bsHALof9JwfrpxOXTkK+iF+Hnt7+wJjLEi1atWgUCgKFXtBy42JiUGdOnWeu76NGzfC2NgYO3fu1PuieV5n0aLIiXfq1KkYMGBAnm18fHwAlGzf5ScwMBBKpRLbtm3D6NGj82yTs71du3bVKzc1NUXLli2Lve6iGj58OH788UecPXsW69evz7fd/v37dX+l5vUL+fjx47hw4QIaNGhQJnHa2NjokpCcR4jbt2+vq/f398fBgwfRuHFjAAX3PwGebMPff/+dq7wkx72stW7dGkuWLMH169fh6OiI2rVrw8zMDOfOncvV9ty5c6hTp06uX+ZlwcHBAfb29rq+H88q6EqWIR8HX1/fPDvfi//vzK9QPLmRYSjHwZDwFk85+v3333V/lQNPOo9t2rQJtWvXhru7O4Ant4EOHDig+6WeY82aNTA3N0fbtm0BADVr1gQAnD17Vq9dzoBSxREYGIioqCicOXNGr3zDhg3PndfCwgJt2rTBli1b9P7i02q1WLduHdzd3VG3bl29eZ79RXb06FHcvHlTr+NZfn9BSpIEpVKpd4smPT0da9eufW6sheXj4wNvb2+cOXMGLVu2zHPK+dIMDAzM9/gWl4uLC4YPH469e/fmuZzLly/jiy++QMOGDQvsSFse/Pz8MHz4cLz44ot48cUX8223fPlyKBQKbNu2DQcPHtSbco7d0x1uy0JgYCCuXLmCDRs2oEWLFnq/+Pz9/XH69Gls27YNxsbGeslLfstKTk7O9XOX18/Ms1fo5HLw4EEoFArUqlULAKBUKtGnTx9s2bJF74m9W7du4eDBg/km56Wtd+/eiI+Ph0ajyfNnLeePgbz4+/sjOTkZu3fv1ivP6ynJwiqt4/XSSy8BQK7YwsLCAED3nW4ox8GgyN0JpqoAIDw8PESDBg3ETz/9JHbs2CG6d++ea4yLixcvCisrK1G3bl2xbt06ERYWJoYMGSIAiHnz5unaqdVq4ePjI2rUqCE2bNggdu/eLd5++23h5eWVZyfZvDoaBgcH63VAvX//vnB0dBTVq1cXK1eu1K3bw8OjUJ1kDx06JIyNjUWbNm3EL7/8IrZv3y66desmJEnS28acTpceHh5ixIgRYs+ePWLZsmXCyclJVK9eXcTHx+va5nS0W7Rokfjrr790HTV///13AUAMHDhQ7Nu3T/z000+iRYsWwtvbO1en1Pw6yX755Zd5HqenO8UdOHBAqFQqERQUJDZs2CAiIiLE1q1bRWhoqBg4cKCu3blz54SZmZlo0KCB2Lhxo9ixY4fo1q2bbt8Vp5OsEEKkpKQIf39/oVQqxZgxY8Tu3bvFgQMHRGhoqLCzsxPu7u7i4sWLevMUp2NpSTrJFuTpTrIPHz4UKpVKr0Pvs5o3by4cHR11Y7X4+/sLDw8P8csvv+SaDh06JIT473jmNd5KXnbt2iUACEmSxIcffqhXl5CQIBQKhZAkSbRv3z7XvM+eS6mpqaJu3brCxsZGLFy4UOzdu1e8//77okaNGrk6Z+bsx5kzZ4rjx4+LyMhIkZmZKYTIfxwUT0/PXNtV2M6Zb731lpg0aZLYtGmTOHTokPj111/Fq6++KgDk2u5///1XWFpaihdeeEGEhYWJLVu2iEaNGgk3NzcRFxeXax8U5ldHUcdBUavVokePHsLOzk7MmjVL7N69W+zfv1+sWrVKBAcHiy1btujF8PS8KSkpok6dOsLOzk4sWrRI7Nu3T0yYMEHUrFlTAND7WctvHJSceJ/m6ekpfHx8xN69e0VkZKTez3FROiv36dNHqFQq8emnn4rw8HAxZ84cYWpqKnr37q3XrijHoSpgglJOcr6AFi1aJGrXri2MjY1FvXr1xPr163O1PXfunOjTp4+wsbERJiYmokmTJnpfdDkuX74sgoKChLW1tXB0dBTjxo3TffkWJ0ERQogLFy6Irl27ClNTU2FnZydGjBghtm/fXuiB2v744w/RqVMnYWFhIczMzETbtm3Fb7/9ptcm54t637594o033hC2trbCzMxM9OzZU1y5ckWv7aNHj8TAgQOFra2tkCRJ7wtkxYoVwsfHR6hUKlGrVi0xZ84csXz58lJNUIQQ4syZM+KVV14RTk5OwtjYWLi4uIhOnTqJJUuW6LU7cuSIaNu2rVCpVMLFxUV8+OGHYunSpbniydn+vI5pXrKyssT3338v2rRpIywtLYVKpRI+Pj5i8uTJ4uHDh7naG2qCsmDBAgFAbNu2Ld/2S5Ys0XuSI+eXYV5TzjE9d+6cACCmTJlSqG1NSkoSSqVSABA7d+7MVd+0aVMBQEyfPj1X3bPnkhBPBuJ66aWXhKWlpbCyshIvvfSSOHr0aK5jnJmZKUaOHCkcHR1153LOeVGUBOXpbS/IihUrRMeOHYWDg4NQKpXC1tZW+Pv7i7Vr1+bZ/sSJE6Jz587C3NxcWFtbi/79+4urV6/mateiRQvh4uLy3PUXZ6C27Oxs8dVXX4kmTZoIU1NTYWlpKerVqydGjRql992Q13G4deuWGDBggN5xCAsLy/WUVVESlP3794tmzZoJlUqVKwku7HEQQoi0tDTx0UcfCQ8PD6FUKkWNGjXE1KlTRUZGRq62hT0OVYEkxDOjWhERVSCLFi3C5MmTce3atXw7RVLpSE5Ohp2dHRYsWIB3331X7nCeKzQ0FB9//DFu3bqlu41OFQc7yRJRhXbw4EG89957TE7KweHDh1G9enW89dZbcoeSy8KFCwEA9erVQ3Z2Ng4cOIBvv/0Wr7/+OpOTCopXUIiIqMJbsWIFvvnmG0RHRyMzMxM1atTA4MGD8fHHH+f76DIZNiYoREREZHCK/Jjx3bt38frrr8Pe3h7m5uZo2rQp/vnnH129EAIhISFwc3ODmZkZAgICEBUVVapBExERUeVWpAQlISEB7du3h7GxMXbv3o0LFy7g66+/1hvdbt68eZg/fz4WLlyIyMhIuLi4oGvXrkV6Iy4RERFVbUW6xTNlyhQcOXIEf/zxR571Qgi4ublh/PjxurdlZmZmwtnZGV988QVGjRpVOlETERFRpVakKyg7duxAy5Yt8fLLL8PJyQnNmjXTe/nYjRs3EBMTg6CgIF2ZSqWCv78/jh49mucyMzMzkZSUpJsSExPx4MEDsGsMERFRxSGEQFJSUun9/i7KoCkqlUqoVCoxdepUcfLkSbFkyRJhamqqG6Uv53XRd+/e1ZvvrbfeEkFBQXkuszCv5OZUsSdJoZA9Bk6lOP3/IGOcKsmkMIAYOFWqKTExsSipRb6KNA6KVqtFy5YtERoaCgBo1qwZoqKisHjxYr1Xxz/7SmghRL6viZ46dSomTpyo+5yUlAQPDw90+mQiHBt4FyU8MkAJ129h3/Q5cO/SHdXq1pM7HCqh9AdxuPrLBrzvrMILVhxGqaI7nKzG/2IzYftxPSg9y+Zt11R1ZF9ORuKXV0pteUX6hnF1dc31ltH69etj8+bNAP57xXhMTAxcXV11beLi4vIdREmlUuleyvQ025rucKrPBKWyMK1mB8vqHCypsnA3ltDQ3Oj5DcmgXc/QAACUnuYw9sn/bcFEhaFN15Tq8orUB6V9+/a4dOmSXtnly5fh6ekJAPDy8oKLiwvCw8N19VlZWYiIiEC7du1KIVwiIiKqCop0BWXChAlo164dQkND8corr+Dvv//G0qVLsXTpUgBPbu2MHz8eoaGh8Pb2hre3N0JDQ2Fubo7BgweXyQYQERFR5VOkBKVVq1bYunUrpk6ditmzZ8PLywsLFizAkCFDdG0mT56M9PR0jBkzBgkJCWjTpg327dsHKytePiQiIqLCKXIvt969e6N379751kuShJCQEISEhJQkLiIiIqrCijzUPREREVFZY4JCREREBocJChERERkcJihERERkcJigEBERkcFhgkJEREQGhwkKERERGRwmKERERGRwmKAQERGRwWGCQkRERAaHCQoREREZHCYoREREZHCYoBAREZHBYYJCREREBocJChERERkcJihERERkcJigEBERkcFhgkJEREQGhwkKERERGRwmKERERGRwmKAQERGRwWGCQkRERAaHCQoREREZHCYoREREZHCYoBAREZHBUcodABGRXNY9zMLWhCxcztDiBSslvq9prqubcjsdux5nw1j6r/1yL3M0s+DXJlF54E8aEVVZTsYS3nFS4WiKGrHZIlf9IHsTTHMzlSEyImKCQkRVVpCNMQDg33RNngkKEcmHCQpREdw/9icenDyBtNj7sK1bD/VeH6ZX/+jfKNzevxcZ8Q9gZGoG98AucGnTTqZoqaS2J2Rhe0IWHJUKDLAzxlAHEygk6fkzElGJMUEhKgITaxu4B3bB46uXkZWUqFeXcPkibuzYgjovD4J1zVrQZGYgOyVFpkippN6wN8FkVxVsjCScS9Ngwq10KAAMdVTJHRpRlcCneIiKwL5hY9g1aARjC4tcdbf374F7YFfY1KoDSaGA0swcZo5OMkRJpaGhuRHslAoYSRKaWijxlqMKuxPVcodFVGXwCgpRKdBkZSL13l1oMjNw6psvoMnIgLVXLdTs1Q8mVtZyh0elQME7O0TlildQiEqBOj0dEAIPTv+DBkPfQrOJUyApjHD1l5/kDo0KoBYCmVoBDQCtADK1AlnaJ51ldz/ORopGQAiBc2kaLI3LRJA1/6YjKi/8aSMqBUYmT/oluPh1gKqaHQDAo3PQk6spWZm6ejIsi2Mz8X1clu5zk/PJaGVhhLW1LbA+Pgsz7qRDA8BJqcBgexMMczSRL1iiKoYJClEpUJqZwcTWFhLyuA/Ap1cN1jgXU4xzyXuck3W1c/czIqLyw1s8REUgNBpos7MhtFpACGizs6FVP+k46dyyLe4f+xOZiYnQZGfjzsFw2NSqAyMVr54QERUVr6AQFcGdQ/tx50C47vNfIVNh7VULDUeOQXX/TlCnp+Hswq8BANa16qDOy4PkCpWIqEJjgkJUBB6du8Gjc7c86ySFAjV79kXNnn3LOSoiKg2pm+8ifU8Msq+nQtXGDnahjXR16rvpSFpwBVlRyZBMFbAYWB2Wg2vIGG3lx1s8REREABQOJrB80xPmvV31yoVGIGHqeSjrWsF5hx/sFzRB6pZ7SA+PlSnSqoEJChEREQAzf0eYdnSA4v/f0ZRDfTsN6ttpsBrqCUmpgLKGOcx7uSDtt/syRVo1MEEhIiIqiPb////0E3kCyL6WKkc0VQYTFCIiogIoa5jByMUMycujIbK0yL6RirRdMRBpfPVBWWKCQkREVABJqUC1OQ2RfTUFcS8dx+NP/4V5T2corI2fPzMVG5/iISIieg7jmhaw/9pX9zlp8XWYNLWVL6AqgFdQiIiIAAi1gMjUAhoBaAGRqYXIftIBJftaCrTpGohsLdIjHiA9LAaWb/Ix47LEKyhEREQAUtbcRMqqm7rPMV3/gElTG9h/2xQZBx4gdds9IFsLZW1LVAttCOPaljJGW/kxQSEiIgJgNbwmrIbXzLvuLS9YveVVvgFVcbzFQ0RERAaHCQoREREZHCYoREREZHCKlKCEhIRAkiS9ycXFRVcvhEBISAjc3NxgZmaGgIAAREVFlXrQREREVLkV+QpKw4YNcf/+fd107tw5Xd28efMwf/58LFy4EJGRkXBxcUHXrl2RnJxcqkETERFR5VbkBEWpVMLFxUU3OTo6Anhy9WTBggWYPn06BgwYgEaNGmH16tVIS0vDhg0bSj1wIiIiqryKnKBcuXIFbm5u8PLywmuvvYbr168DAG7cuIGYmBgEBQXp2qpUKvj7++Po0aP5Li8zMxNJSUl6ExEREVVtRUpQ2rRpgzVr1mDv3r1YtmwZYmJi0K5dO8THxyMmJgYA4OzsrDePs7Ozri4vc+bMgY2NjW7y8PAoxmYQERFRZVKkBKVHjx546aWX0LhxY3Tp0gW7du0CAKxevVrXRpIkvXmEELnKnjZ16lQkJibqptu3bxclJCIiIqqESvSYsYWFBRo3bowrV67onuZ59mpJXFxcrqsqT1OpVLC2ttabiIiIqGorUYKSmZmJf//9F66urvDy8oKLiwvCw8N19VlZWYiIiEC7du1KHCgRERFVHUV6F88HH3yAPn36oEaNGoiLi8Nnn32GpKQkBAcHQ5IkjB8/HqGhofD29oa3tzdCQ0Nhbm6OwYMHl1X8REREVAkVKUG5c+cOBg0ahIcPH8LR0RFt27bF8ePH4enpCQCYPHky0tPTMWbMGCQkJKBNmzbYt28frKysyiR4IiIiqpyKlKBs3LixwHpJkhASEoKQkJCSxERERERVHN/FQ0RERAaHCQoREREZHCYoREREZHCYoBAREZHBKVInWSo6TVYWDs35Dnf+OoX0x4mwcHJAi6GvoEH/HgCAJX699dtnZ6OaVw0M/mWZHOESEREZBCYoZUyr0cDC0R79f5gHa3dXxJ77FzvenQZLJ0fUaNcSo4/t1Gu/4eW34N0tUKZoiQrnZJoGQJbcYVR52ULAuIBXiTzPk+NIZJiYoJQxYzMztB0zVPfZxbcBqrdqinunz6NGu5Z6bWPOXcSj6zdRv28QiAxRVnISIEn46VE2fnqULXc4JEmAECVbhEIBTXwWjEspJKLSwgSlnKkzsxB7/iJ8enTKVXdh2254tm8NSycHGSIjej5NRgYgBGr16wJTezu5w6nSMuIf4fr2/egz+UM07FS8q64xV65i1bj3IFLUpRwdUckxQSlHQggcmPU1bGtUR+3OHfTqstMzcGXvQXT99COZoiMqPFN7O1i4OsodBgGw9/BAjcaN5Q6DqNQxQSknQggc+vx/SIi+jf4/zIOk0H+A6uq+CChNTVGzY1uZIiQiIjIcTFDKgRACEaHfIvb8RfRf+iVUVpa52kRtDUO9Pl2hUBrJECEREZFhYYJSDiLmfId7Z6Lw4tIvYWqd+8WJCdG3cf/MBXSe9aEM0ZWPjIRHSLl7R7b1ZyUnPek/QSWSdPOG3CEQURXBBKWMJd2Lxbmfd8DIxBirewzRlfv06oLAj8cDAC5s3Q235o1RzdNdpijL3p39e3Bn/x7Z1l8KDzvQ/5MkIDslFQD7oBBR2WGCUsas3Zwx7vT+Atu0n/B2OUUjn4a9ANeG8qz7fhQQtQv46HUH1HDiw5QlcSsuG1+sewh1BsdAMRSa7Gys/3AyLv7xJ1IePYKtiwu6jhmNdq+9pqv/NWQWIrdtAwC0evFFDAyZCSMlv/7JsPEMpXLh2hCom/vJ6nITtQuo4WQMbw+VfEEQlQGtVgtrJye8t3EDHDw9EX3yFBa+8SZsXV3RwN8fu//3La79HYlPDvwOAPj+9Tex97uF6DlhvLyBEz0H38VDRFSBGatU6PPhB3CsWROSJMGrRXPUbeeHa39HAgCObtyE7u+/BxtnZ9g4O6P7e+Nw9KeNMkdN9HxMUIiIKpHsjAzcPHUa1evXR9rjx3h8/z7cGzbQ1bs3bIhHd+8iPSlJxiiJno8JChFRJSGEwLoPJ8PRywtNe/ZARmoaAMDcxkbXxszGGgCQkZIqS4xEhcUEhYioEhBC4Kcp0xB77RpGr/gRCoUCphbmAKB3tSTn36aWFrLESVRYTFCIiCo4IQQ2TpuOm6dP470N62Fm/eQqibmtLWxdXXEn6oKu7Z2oC6jm5qZrQ2SomKAQEVVwm6Z/jOuRJzDupw0wt7XVq/N79RXs+fY7JMbFITEuDnu/W4j2gwfJEyhREfAxYyKiCizl0SMcXr0GSpUKn7T5711erQYMwOAv5qDn+PeRmpCA2QFPnvNv/WJ/dBs3Vq5wiQqNCQoRUQVmaWeHRXdv51tvZGyM10I/x2uhn5djVEQlx1s8REREZHCYoBAREZHBYYJCREREBocJChERERkcJihERERkcJigEBERkcHhY8ZERBVY/O3buHXuXLHmjblyFQCgvp+B7EvJpRkWVUGa22mlujwmKEREFdhv877Eb/O+LPb8kkKBlOXRSFkeXXpBEZUCJihERBWYX08PeDWwK/b8arUWSmXFvdv/KDYNe9ZegV8vf3g1qC13OFVa3O0Y7N8YVmrLY4JCRFSBeTWwQ/PA6nKHIZs7VxOxZ+0VeDWojeaBbZ8/A5WZa+cul2qCUnHTZiIiIqq0mKAQERGRwWGCQkRERAaHCQoREREZHCYoREREZHCYoBAREZHBYYJCREREBocJChERERkcJihERERkcJigEBERkcFhgkJEREQGh+/iIYN1bgdwMRyIjwY8WwI9ZsodERERlRcmKGSwzO2AFoOAO6eA1IdyR0NEROWJCQoZrNodnvz/4TUmKEREVQ37oBAREZHBYYJCREREBocJChERERkcJihERERkcEqUoMyZMweSJGH8+PG6MiEEQkJC4ObmBjMzMwQEBCAqKqqkcVIVpNUA6ixAaAChffJvTbbcURERUXkodoISGRmJpUuXwtfXV6983rx5mD9/PhYuXIjIyEi4uLiga9euSE5OLnGwVLWc2AAs7Qv8sxGI/uvJv3+bJndURERUHor1mHFKSgqGDBmCZcuW4bPPPtOVCyGwYMECTJ8+HQMGDAAArF69Gs7OztiwYQNGjRpVOlFTldD6jScTERFVPcW6gvLuu++iV69e6NKli175jRs3EBMTg6CgIF2ZSqWCv78/jh49mueyMjMzkZSUpDcRERFR1VbkKygbN27EyZMnERkZmasuJiYGAODs7KxX7uzsjJs3b+a5vDlz5mDWrFlFDYOIiIgqsSJdQbl9+zbef/99rFu3Dqampvm2kyRJ77MQIldZjqlTpyIxMVE33b59uyghERERUSVUpCso//zzD+Li4tCiRQtdmUajweHDh7Fw4UJcunQJwJMrKa6urro2cXFxua6q5FCpVFCpVMWJnYiIiCqpIl1B6dy5M86dO4fTp0/rppYtW2LIkCE4ffo0atWqBRcXF4SHh+vmycrKQkREBNq1a1fqwRMREVHlVKQrKFZWVmjUqJFemYWFBezt7XXl48ePR2hoKLy9veHt7Y3Q0FCYm5tj8ODBpRc1ERERVWql/jbjyZMnIz09HWPGjEFCQgLatGmDffv2wcrKqrRXRURERJVUiROUQ4cO6X2WJAkhISEICQkp6aKJiIioiuK7eIiIiMjgMEEhIiIig8MEhYiIiAwOExQiIiIyOExQiIiIyOAwQSEiIiKDwwSFiIiIDA4TFCIiIjI4TFCIiIjI4JT6UPdElL8stcD3m+Nx8nIGklI1sLcxwiudbNC9zZNXQTx8rMZ3m+Nx/nomJAloUscUY1+yRzUrI5kjJyIqX0xQiMqRRiNgZ22EL95xhqu9EhdvZmL60jg42CjRsp4ZvtscDwBYN8MdQgBz1z3Aoq3xmP6mk8yRExGVL97iISpHZioFgntUg5uDMSRJQv2apmhSxxRRNzIAADHxavg3tYCZSgFzUwX8m1kg+n62zFETEZU/XkEhklFWthaXbmUisLkFAOClAGscPpOGNg3MISBw6GQq2jQwkznKikmr1uDm3sNIunEb6vQMmFhZwKVtMzg2bVBgHREZBiYoRDIRQmD+pnhUdzRGB19zAEBDL1OEHUvBgOm3AAD1PVUY3NVWxigrLqHVwsTSHD5D+kFla43Ue7G4vHEnTKwtYenumm+dTa0acodOROAtHiJZCCHw7S/xuBOXjZDhTlAoJGi1AlMWx6Chlwrb59bA9rk10NBLhWk/xModboVkZGKM6v5tYFrNBpIkwbK6C6w8qyPl9v0C64jIMDBBISpnQgh8t/kRLt3KwpzRzrAwe/JjmJymRWyCBv1fsIapiQKmJgr062iNC9GZSEzRyBx1xadVq5F6LxZmTvZFqiMieTBBISpnCzc/woUbGZj7jjOszP97fNjG0ghuDkrs+DMZWdlaZGVr8dufSXCwNYKNJR8zLgkhBG7sOghTO1tUq1e70HVEJB/2QSEqR7GP1PjtSDKMlcDrs+/oyju3sMD7rzhg1ggnLNn2CINC7kAIoHZ1E8wewUeMS0IIgZu7I5AR/xg+g/tCkqRC1RGRvJigEJUjZzsl9n1TM996TxcTzBntUn4BVXJCCNzccxip92LhM6QflKaqQtURkfyYoBBRpXVr72Gk3LmPekP6Q2lmWug6ovKkUauxfenPOHXobwBA88A26Pv2KzAyqtq3dpmgEFGllJmYhLh/zkMyMsKZhat15faNfODavnm+dTV7BsgQLVVl+zeGIfrCVXy4JAQA8OOMb/H7pt0IGtxb3sBkxgSFiCollY01Wk1/N9/6guqIytPf+46g79uvwNrOFgDQ+dWe+O3HX6t8gsKneIiIiGSSlpyKxIcJqF7LQ1fmVssDjx88QnpqmoyRyc9gr6A8jr4DY3MO8V3RJVx/MiLq/Sj5YpBz3UREBcnKyAQAmFn89/vOzPLJyNKZ6ZkwszCXJS5DYLAJyoFP58sdApUSSaFA1C4tonbJHQkRkWEx+f+nx9LT0mFhYwUAyEhNBwCozKr2k2UGm6D4f/gmnOp6yh0GlQJTG0tYOcs3Quel8OP4/bMfZVs/EVF+zK0sYONQDfeu3YaD65Mxj+5evw1bx2pV+uoJYMAJindgK9Rs31TuMKgSeHD5ptwhEBHlq1XXdvh9UxhqNqgDADiwKQytu3WUOSr5GWyCQkREVBV0HdQLaUmp+HL0TABAs4DW6PxqD5mjkh8TFCIiIhkZKZUY8O5gDHh3sNyhGBQ+ZkxEREQGhwkKERERGRwmKERERGRwmKAQERGRwWGCQkRERAaHT/EQEVGRbV0chfPHY5GRqobK3AhNOrii17B6UBrz714qHUxQiIioyNr18kTPYT5QmSqRkpiJtXNO4dDm6+jyWh25Q6NKggkKEREVmXMNS73PkkLCg3upMkVDlRETFCIiKpYDP1/D7z9fRWa6BubWxug1zEfukKgSYYJCRETF0umV2uj0Sm3E3krByUN3YVWtar99l0oXezMREVGJONewhJuXNTbNPyt3KFSJMEEhIqIS02i07INCpYoJChERFUlmuhp/h99Geko2hBC4H52E/Ruvwae5o9yhUSXCPihERFQ0EnDq0D3sXH4R6mwtLG1M0Li9C7oNqSt3ZFSJMEEhIqIiUZkqMerzNnKHQZUcb/EQERGRwWGCQkRERAaHt3gqAHVmFn774BtcO/QP0h49hrWrIzq+Pxgt3ugFANj54Te4sOtPZCalwMTSHI36B6Lb7HegNDGWOXIiIqLiYYJSAWjVGli52GPY9m9g5+WGOycuYPVLH8DazRHenVuj9cgXERQyGiYWZkh9mICNQ2fij/9tQOCHwXKHTkREVCy8xVMBmFiYocv0kbCvVR2SJMGjVUPU6tgcN48/GRTJyacmTCzMdO0lSUL8tTtyhUtERFRivIJSAWVnZOLOyX/h+3IXXVnE/HWI+HoNslLSYW5ng26z3pExQiIiopIp0hWUxYsXw9fXF9bW1rC2toafnx92796tqxdCICQkBG5ubjAzM0NAQACioqJKPeiqTAiBbeO+gH1tdzTo668r95/4Ombc3Yf3/l6LVsP7wdLZTsYoiYiISqZICYq7uzvmzp2LEydO4MSJE+jUqRP69eunS0LmzZuH+fPnY+HChYiMjISLiwu6du2K5OTkMgm+qhFCYMeEr/Hwym0MWR8KhSL34XPyqQnXRnWw+Z1QGSIkIiIqHUVKUPr06YOePXuibt26qFu3Lj7//HNYWlri+PHjEEJgwYIFmD59OgYMGIBGjRph9erVSEtLw4YNG8oq/ipDCIHfJs3HnX8uYOjW+TC1scy3rUatRvx19kEhIqKKq9idZDUaDTZu3IjU1FT4+fnhxo0biImJQVBQkK6NSqWCv78/jh49mu9yMjMzkZSUpDdRbjs/+Aa3/jqHYdu/gVk1K115Zkoa/lm3C+mPkyGEQEzUNRz6cjW8O7WWMVoiIqKSKXIn2XPnzsHPzw8ZGRmwtLTE1q1b0aBBA10S4uzsrNfe2dkZN2/ezHd5c+bMwaxZs4oaRpWScCsGf/24FUqVCb5q9LKuvMkrQejx+bs4+8t+7Pl4ETRZ2bBwsEXDvv7oNG2EjBETERGVTJETFB8fH5w+fRqPHz/G5s2bERwcjIiICF29JEl67YUQucqeNnXqVEycOFH3OSkpCR4eHkUNq1KrVsMFnyX+kW/9sO3flGM0REREZa/ICYqJiQnq1KkDAGjZsiUiIyPxv//9Dx999BEAICYmBq6urrr2cXFxua6qPE2lUkGlUhU1DCIiIqrESjxQmxACmZmZ8PLygouLC8LDw3V1WVlZiIiIQLt27Uq6GiIiIqpCinQFZdq0aejRowc8PDyQnJyMjRs34tChQ9izZw8kScL48eMRGhoKb29veHt7IzQ0FObm5hg8eHBZxU9ERESVUJESlNjYWLzxxhu4f/8+bGxs4Ovriz179qBr164AgMmTJyM9PR1jxoxBQkIC2rRpg3379sHKyuo5SyYiIiL6T5ESlOXLlxdYL0kSQkJCEBISUpKYiIiIqIrjywKJiIjI4DBBISIiIoPDBIWIiIgMDhMUIiIiMjhMUIiIiMjgMEEhIiIig8MEhYiIiAwOExQiIiIyOExQiIiIyOAwQSEiIiKDwwSFiIiIDA4TFCIiIjI4TFCIiIjI4DBBISIiIoPDBIWIiIgMDhMUIiIiMjhMUIiIiMjgKOUOID8Prt6GiYWZ3GFQJfDo5n0AwK24bJkjqfi4D8lQ3bhwTe4Qqry42zGlujyDTVC2vzdP7hCoElFIwBfrHsodRqUgSYDS1ETuMIgAAEmPMgFJwrFdETi2K0LucKgUGWyCEiz1RU2Fm9xhUCWRLdQwVhT/dD+rvYyt4gCMvd+EwtylFCOrWDSPoqC+vQvGlhZyh0IEAMhIzQaEgDTgRUgODnKHU6Vp798HfttZassz2ASltaIRmirqyR0Gkc5WzQEonVrByMZb7lBkpb69S+4QiHKRHBwgubnKHUaVJmVlQZTi8thJloiIiAwOExQiIiIyOExQiIiIyOAwQSEiIiKDwwSFiIiIDA4TFCIiIjI4TFCIiIjI4DBBISIiIoNjsAO1EZHhyoh/JHcIVR6PAVV2TFCIqPCMLQBJwvXt++WOhABAkqBWa+WOgqhMMEEhokJTqOwAITDk7SFo6ddSlhhOHDuB9UvXw2FYLShdTGWJwRCoYzLwcOV1KJW8U0+VExMUIiqyln4t0f+1frKtf/3S9bBobQ/TutZlup6EbbeRuPc+sm6kwKKVPap/2gQAoM3SIu67S0g7+QjqxGwYO6hg96onbHqU3wtOMy4n4eHK6+W2PqLyxgSFiCgfSnsV7Id4PUlEHmT8V6ERUNqZwP3LZjB2NUPGv0m4M/U0lI4qWLS0ly9gokqE1waJiPJh1dEJVh0cYWRjrFeuMDOCw7DaMHEzhyRJMGtgA/Om1ZB+7rE8gRJVQkxQiIhKSJulQcbFJKhqWcodClGlwQSFiKgEhBCI+eoijKubwbKjk9zhEFUa7INCRFRMQgjELriE7DupcJ/XHJJCkjskokqDCQoRUTEIIRD37SVkXEyCx1fNYGTJr1Oi0sSfKCKifAiNFkIjnkziSV8TSZIgGSsQ9+0lpJ9PhMdXzWFkZfz8hRFRkTBBISLKR/y6aMSvuaH7fKXHIZg1sYXrRw3weMddSMYKXBt8RFdv3cUFLhPqyREqUaXDBIWIKB8OwbXgEFwrzzrvsABEj/wLmsRseO/wL+fIiCo/JihEVCFl3UqTdf0Jm29DYaGEOiELGZeTyn39cm8/UVljgkJEFYq1jTWgAO7PiZI7FJ2b70TKs2IF+LJAqrSYoBAZGKHJQuaFRdA8PAWRlQTJ1B4mtV6GsUc3AEBW9A6o74RDmxINI8eWMGsxU+aIy5eTiyOgBd72ext+Xu3Kff0arQaf7p2N15q/BgD49vC3WPTy4nKPI/rRDczaM4svC6RKiwkKkaERWkgqO5i1ngPJ3BXaxxeRHvkJJFMHKB1bQGFqB5M6g6CJPwVtxkO5o5WNn1c7XZJQnr468BVeqP0CQnrMwuGrEVhyZIkscZy6cwqz9swq9/USlRcmKEQGRlKaQlX3Td1no2r1YWTvC01CFJSOLaB06QAA0CRdA6pwgiKH6w+v4YejS3B8wl9yh0JU6TFBITJwQpMFbeJlGLsFyh1KicTcjcGM8TMReTQSkiSh7QttMeubEDg6O8odWqEduXEED1MeosVXzQEAWeosJGUmoeYsT/wy7Fe0qtFK5gipIhKPHkEbthu4cxcwNobUpjUUHdrLHZbsmKAQGTAhBDLPfQOFuRuMXCr2F9Yn42dAgoQ/L/0BIQTGD5uA2R98iu/Wflus5R27cbSUI3w+IYC5febqPl95eBUrji/H1C5TcSnuEq49vFZusUQ/ejI+y40Lj8ptnYaoom+/0Gqh/WkTpHo+kAa9BiQkQLtmHbTW1lD4NpY7PFkxQSEyUEIIZJ7/DtrUOzBrPReSVLE7Q96Ovo13Jo2GhaUFAKD3S72w+KslRV5OXMwDKCRg6bGlWHpsaWmHWSzjt46Xbd3Hwm7jWNht2dZvCBQSIFJSUCHfhPQwHnj4EJL/25CMjAAHB0jNm0H8cxJggkJEhkYIgcyo76FNvASzNnMhGVvIHVKJjXxvBMK27EZgj0BAAL/98hsCuwcUeTlJiUnQCmB+cGPUcbEs/UCpQrkak4KJq89BysiQO5TiESLnH/plsbGyhGNIipSgzJkzB1u2bMHFixdhZmaGdu3a4YsvvoCPj4+ujRACs2bNwtKlS5GQkIA2bdrg+++/R8OGDUs9eKLKKivqe2gTomDW5gtIxlZ6dUKrAUTOpIXQZAGSBElh2O+DaeHXAhtXbEJT12YAgGatm2HslLHFXl4dF0s08rAurfCI5OFgD1SrBnHwEBAYADx6BHHqNJCZKW9cBqBI14wjIiLw7rvv4vjx4wgPD4darUZQUBBSU1N1bebNm4f58+dj4cKFiIyMhIuLC7p27Yrk5ORSD56oMtKmxyL71k5oU+8g9eCbSNnbHyl7+yPj3JO+GllXNyB1b19kX9sITdxfSN3bF+l/T5M56oJptVq80etNtPBrgaiH5xH18DxatmuJ4D5D5Q6NSFaSkREUg16FiImBdv4CaDdvhdS0CWBuLndosivSFZQ9e/bofV65ciWcnJzwzz//4IUXXoAQAgsWLMD06dMxYMAAAMDq1avh7OyMDRs2YNSoUaUXOVElpTBzhmXPPfnWq+q+AVXdN8oxopJ7/Ogx7t66i6FjgmFmbgYACH7nTSz9ZikePXwEOwc7mSMkko/k6AijN17XfdaG74fk6SljRIahRL3uEhMTAQB2dk++XG7cuIGYmBgEBQXp2qhUKvj7++Po0bx73GdmZiIpKUlvIqLKxc7BDjVre2LtD2uRmZGJzIxMrP1hLVyruzI5oSpPxMRCZGVBqDUQF/6FOHUa0gsd5Q5LdsXuJCuEwMSJE9GhQwc0atQIABATEwMAcHZ21mvr7OyMmzdv5rmcOXPmYNYsjoZIVNkt/WUpPp38GdrW9oNWq0XDJg2x7FfDeAqHSE4iKgoi8gSg0QDOzlC89gokF+fnz1jJFTtBGTt2LM6ePYs///wzV50k6T/sJYTIVZZj6tSpmDhxou5zUlISPDw8ihsWERko7/reWPPbarnDIDI4is6dgM6d5A7D4BQrQRk3bhx27NiBw4cPw93dXVfu4uIC4MmVFFdXV115XFxcrqsqOVQqFVQqVXHCICIiokqqSH1QhBAYO3YstmzZggMHDsDLy0uv3svLCy4uLggPD9eVZWVlISIiAu3alf9bR4mIiKhiKtIVlHfffRcbNmzA9u3bYWVlpetzYmNjAzMzM0iShPHjxyM0NBTe3t7w9vZGaGgozM3NMXjw4DLZACKiyiwzW4uQXy7gyKVHSEjJgrOtKd7uUhOv+D25ev3h2nPYceI+jI3++3tzzdiWaF7LVqaIiUpHkRKUxYsXAwACAgL0yleuXImhQ4cCACZPnoz09HSMGTNGN1Dbvn37YGVlBSIiKhqNVgsnaxXWjm2JGg5mOB2diGGL/oGrrSk61ncAAAzp6IEZA+vLHClR6SpSgiKEeG4bSZIQEhKCkJCQ4sZERET/z1ylxITe3rrPzbxs0bauHU5cS9AlKESVEd/FQ0RUgWRma3D2ZiL6tvzvQYStf9/D1r/vwclahZf93DE80BMKRYV8dR6RDhMUIqIKQgiBKRuiUNPRHN2bPHkyMjjAE1P6+8DWwhhnbyZi7IozkCRgRKea8gZLVEIV+/3tRERVhBACH2+8gOuxqVjydjPdFZJGHtawtzKBkUJCMy9bjO7qhV0nY2SOlqjkmKAQERk4IQRm/Pwvzt5MxJqxLWFtlv+bqxX5DIpJVNEwQSEiMnAzf/4X/1xPwJqxLWFjrp+c7DoZg+R0NYQQOHszEUvCr6N7Uw6TThUf+6AQERmwu4/Sse6P2zBRKtBxxmFdeb9Wrvh8UEOsibiFaT9FQaMRcLZV4fWONTCS/U+oEmCCQkRkwKrbmeH6wm751m+a0LocoyEqP7zFQ0RERAaHCQoREREZHCYoREREZHCYoFQCv2rCMVw9AwHZwzFFvUCvTi3U+FqzBt2z30H37HcwX7MGaqGRJ1CqMjIzMzFlzFR0rPcCGjk2RucmXfDz6p9ztctIz0BAw0D4ujSRIUoiMmTsJFsJOEi2GCr1Q6SIwgPxSK9ulXYHzmovY51yDgBgkvorrMFvGG7UX4ZIqbI4cexEgfWZmZlIiE9A8Jhg2Dva4+b1mwiZOAvXr9xAvUb1dO12bNoBpbES2VnZ2LZxe6msm4gqByYolUCAohUA4IrmJh5AP0HZpT2M94wGw0GyBQAEG/XFQs1PTFCoWLSZj6CQFFi/dD3WL13/3Pb7duzT+/zD1z/k23bCsAkljo+IKg8mKJVYkkhFHB7BW/LUlXlLNRCLeKSINFhK5jJGRxVSdiq0QovlE9fBx6N+oWfLzM7Ea5/3x3v9JyGwaReoNWq8vSAYY/s9SUqmLZ+EPXMiCrWsfSfCMHv9J8UKn4gqDiYolVg6MgAAlvgvEcn5dxoy9MqJisLHoz6a1W5eqLZCCIyY/wbq12iA8S9+AIVCga83f4HWPm0xotvbOHzuEIyMjAq9vEu3/y1B5ERUUTBBqcTMYAoASEEabGEFAEhFOgDA/P/riMqSEALvL34HV+5ews5P90OhUOD6/WtYuut7HF1wSu7wiMiAMUGpxKwlCzjBDlfELbhLT97NcUXchDPseHuHypwQAhOWvIsTl//Grs9+h42FDQDgyIU/8DDpAVqObQgAyFZnISktCV5vuuCXj3egZV2OjEpETFAqBbXQ4Ml/WmghkCmyoIACxpISPRUdsUazA76SNwBgjeY39FYEyBtwBaaOi4Q25bbcYRSfsQUUKrtiz65NiwFQuNssX/86F2dvnMa3Y5YgOvYGomNvAAC83epi0/T/ntg5H30WoT+FYNmENRAQOHXtZIHLvfn/y7kak1LczaBKhOdB5SUJIYTcQTwtKSkJNjY2+N5oGpoq6j1/BsJyzRas0G7TK2sm1cNC5TSohRr/065HuPYYAKCroh3eVwyBUjKSIdKKa5fmMELFCkBo5Q6lZCRFibdBISmglXk/KCRAa1DfXCQnhQRo+/aFUbOmcodSpWmjb0KsWo3ExERYW1uXeHm8glIJjDAagBFGA/KsU0pKTDIKxiSj4HKOqnIxlpSAVovmA2fAysnz+TMYoOS4mzj562zYSU1hrqhe7OUIoYGkkDfBNYQYyDBki0TEav+EZMTzobJhgkJUBFZOnrB185E7jBIxV1SHnaKh3GEQlYo0EYNY7Z9yh0FlgEPdExERkcFhgkJEREQGh7d4iIiowhO3bqOCd2Gv8MSDh6W6PCYoRERUYWWLFEiSAuLECYgTfJFkZcIEhYiIKiwNMiGEFmNeWoDqDnXkDqdKu3H/PH7cMaXUlscEhYiIKrzqDnXg5dZI7jCqtIystFJdHjvJEhERkcHhFRSicqRRZ+Hcb9/gwbUTyEx7DDNrR9TpOBieLXrr2tz/909c/P1HpMbfgdLUAj6Bw+DVur98QVOBHmpOIkGcQ4Z4CCvJCzWVAwpVR0QFY4JCVI6EVgOVlT3aDVsAczs3JNyJwvHVH8DM2glO3q0Re/k4zv72NVoM/AT2NZsgOzMVmSkJcodNBTCWLOEktUOKiEa2SC50HREVjAkKUTlSmpihfpeRus92Ho3gUKs54m+ehZN3a1z8/Uf4BA6FQ63mAAATM2uYmJX8nRZUdmwUdQEA6ZpYZCO50HVEVDAmKEQy0mRnIuHOv3D37Qp1Vjoe37uE6pmd8PuCwcjOSIF9zaZo3Ot9mFrZyx0qEVG5YidZIpkIIXB62xewtHeHawN/ZKcnA0Lg9um98Auejy4TNkJhpMTJXz+VO1QionLHBIVIBkIInN3xFVIe3kLrIXMgKRRQmpgBAGq1fRnm1VygVJmjXqcReHD9H6iz0mWOmIiofDFBISpnQgic/e1rJNz5F35D58PY1BIAYGxmBTMbZ0DKc6byDZKISGZMUIjK2dmd8/Ho1jm0G/ZNrg6wnq364vqxX5Ge9ACa7ExcOrgSjrVaQKkylylaeh4htNAKNQABAQGtUEMrNM+tI6KCsZMsUTlKS4hB9F9boVCaYN9XA3XlHk2C0KTfh6j7wuvITk/CoYVDAQAOXs3QfOAnMkVLhRGrPYo47VHd5/Pq+bCQPFBbOajAOiIqGBMUonJkXs0F/T77M996SWGERj3GoVGPceUYFZWEi1EHuBh1KHIdERWMt3iIiIjI4DBBISIiIoPDBIWIiIgMDhMUIiIiMjhMUIiIiMjgMEEhIiIig8MEhYiIiAwOExQiIiIyOExQiIiIyOAwQSEiIiKDw6HuiYogOe6m3CEUW07s2SIRaSJG5miISke2SJQ7BCojTFCICiFbqAFJgZO/zpY7lJKRFIjV/olYbf7vAyIiMgRMUIgKwVhSAlot6nZ1gXk1ldzhFEtaQiYuh8fgzVqvoJVDM7nDISoVkQ9PYc31n+UOo9D2/rUah0//ituxl9DE2x+TBi3T1T1KisHKXZ/g0s1IQJLQoKYfhvWaBRtLRxkjlk+RE5TDhw/jyy+/xD///IP79+9j69at6N+/v65eCIFZs2Zh6dKlSEhIQJs2bfD999+jYcOGpRk3kSycfGxgU91c7jCKJfFuGi6Hx6CVQzO86NlT7nCISk1FSlCqWTmj/wtjcf76ETxKuq9Xt3Lnx4Ak4dsJRyAg8P3m8Vi9exbee3mhTNHKq8idZFNTU9GkSRMsXJj3Dps3bx7mz5+PhQsXIjIyEi4uLujatSuSk5NLHCwREVFF1rpBd7Sq3w1W5tVy1cU9voO2DXvDVGUBM5Ul2jbqjTtxl2WI0jAU+QpKjx490KNHjzzrhBBYsGABpk+fjgEDBgAAVq9eDWdnZ2zYsAGjRo0qWbRERESVVE+/Efgrahea1Q2EEALHzu1AM+9AucOSTak+Znzjxg3ExMQgKChIV6ZSqeDv74+jR4/mOU9mZiaSkpL0JiIioqqmbo2WSEqNx1tzm+DtL5oiJf0x+vuPkzss2ZRqghIT8+TRRWdnZ71yZ2dnXd2z5syZAxsbG93k4eFRmiEREREZPK1WizlrXkfdGi2xYtoFrJh2AT41WmHu2jflDk02ZTJQmyRJep+FELnKckydOhWJiYm66fbt22UREhFRudl37xCC9r0C7y1t0OK3Llh7reJ04iR5pKQ/xsPHd9GtzVCoTMygMjFDtzbBuHL7JJJSH8kdnixK9TFjFxcXAE+upLi6uurK4+Licl1VyaFSqaBSVczHNomInnUw5gimnfwc37YORRvH5kjOTsXDjHi5wyIDodGoodGqodVqIIRAVnYGFJIC1hZ2cLarifC/12BAwPsAgH1/r4GdtSusLexkjloepZqgeHl5wcXFBeHh4WjW7Mk4C1lZWYiIiMAXX3xRmqsiIjJIX53/HuMbjEI7p1YAAFsTa9iaWMscFRmKrYe/w5ZD/9N9HvpZPdSv2QafDNuESYOWYe2e2Rj7dVtohRY1XRvig8HLClha5VbkBCUlJQVXr17Vfb5x4wZOnz4NOzs71KhRA+PHj0doaCi8vb3h7e2N0NBQmJubY/DgwaUaOBGRoUlTp+FswgX0ye4G/z39kJSVjLaOLTCr2UdwMnWQOzwyAAMDJ2Bg4IQ869ydvDH1zbXlHJHhKnKCcuLECQQG/vfY08SJEwEAwcHBWLVqFSZPnoz09HSMGTNGN1Dbvn37YGVlVXpRExEZoMdZyRAQ2HxzJ9Z3XIxqKltM+edTvP/XdPzk/4Pc4RFVKEVOUAICAiCEyLdekiSEhIQgJCSkJHEREVU4FkozAMBw70Fwt3ADAExqOAYdd/dBmjoN5sqKOQoxkRz4Lh6ichZ99AHunIxHckwGHH2s0fKNWrq6PTPP6LXVqrWwdDLFC+/XL+8wqRhsTKxR3dwVEnI/tZj/n3VElBcmKETlTGVtjDqBLnh4NRkZSdl6dd1nNdH7fPh//8LNN/eQ2GS4htR6CSuu/AR/l3awNbHBggs/oINTG1jw6glRkTBBISpnro1sAQBJ99NzJShPe3w7FSlxGXBvYV9OkVFpeLfecDzOSkTQvlcAAO2cWuF/bT6XOSqiiocJCpGBun0iHo51rWFqbSx3KFQERpIRZjT5ADOafCB3KEQVWpmMJEtEJaPJ0uLemQR4tOLVEyKqmpigEBmge+cSYGSigJOPjdyhEBHJggkKkQG6HRkP9+Z2UBjl/Q4rIqLKjgkKUTnTagQ02VoIrYAQT/6tVWt19SkPMpBwK5WdY4moSmMnWaJydvVgDK78HqP7vGfGGdh5WcLvbW8ATzrH2tW0hKWjqVwhEhHJjgkKUTmr28UVdbu45ltfv0f1coyGiMgwGWyCckvEwEzwL0gyDPfEA7lDKDWRD0/JHYJBsDax4gv8KoFbqXfkDoHKiMEmKF9oVwDa57cjoqJZc/1nrLn+s9xhyE5SKCC0/JIhMlQGm6C0UnSBncJJ7jCIAAD3tDdwTntM7jBKRee3JqKuX0CZr+fc7ztx6c8DiL8bjRqNW6DHuOm52qizMrFpxjhkJCdjxPc/lXlMOR5EX8WvsyfCaYgjrFtaltt6qfQlnUhB3PrKc4WT/mOwCYqnwhvVjWrLHQaRTmVJUKq5ecDNp1GZryfh/h14NGqO65FHkPggJs917lk4B3bVPRFz5UK5xPQs65aWcOzH2zwVHROUyomPGRNRmWgY0B0NXgiCuW3eLzu8d+k8Lh87hBfeeKecIyOiisBgr6AQUeWlUaux/Ytp6DNpltyhEJGB4hUUIip3Rzb+COfaPvBq3lbuUIjIQPEKChGVq0d3buLvLWsxZuVOuUMhIgPGBIWIylX0mUikJjzCd693AwBosrORmZqCL/q0xpAvlsG9QROZIyQiQ8AEhYjKhEathlajgVajgdBqkZ2ZCUkhoXGX3vBu669rd+vcP9gaOhljVu2CuY2tfAETkUFhgkJEZSJi9UIcXPGt7vPsTvVRs1kbjFj4E4xV/40SbW5tC0mSYGXvKEeYRGSgmKAQUZnoNGI8Oo0Y/9x2Xs3bYvreM2UfEBFVKExQiIogJS5D7hCKLSf2hHu3ce/SeZmjkdeD6Ktyh0Cl7O5DHlO53Y+/XqrLY4JCVAgaoQYk4PTPN+UOpWQk4Pdl8/H7svlyRyI7SaGANlvIHQaVkDZbQJIUWLR5vNyhUCljgkJUCEaSEhDA255j4WpaXe5wik2tzYZSYSx3GLK7n3EXS28uhMJYkjsUKiGFsQQhtDB72w9GbjZyh1OlqaPjkbEqstSWxwSFqAj87DrAx7KB3GFQCV1KuYClNxfKHQaVIpN2XlD68AWzclKcvluqCQpHkiUiIiKDwwSFiIiIDA5v8VRCaqHGIfVW3NZeRjrSYClZo4VRIBoatZY7NCIqY1c/vI6HOx5Beqp/TYM1PrBqbiljVERFxwSlEhLQwEKywosmo2ADe8SIW9ie/SMsJRt4KnzkDo+IypjzECd4zaghdxhEJcJbPJWQsaSCn7I7bCUHSJIEV4Un3BW1cU97Q+7QiIiICoUJShWgFtmI1d6Gg+QqdyhEVA4ebH2Iv5udxOlu53DvxxgILcd7oYqHt3gqOSEE9qt/ga3kgDqKxnKHQ0RlzCXYGZ5TPKC0VSLlbCouj70GSIDbCBe5QyMqEl5BqcSEEDig3owEEYfexkMhSTzcRJWdZSMLGNsbQzKSYNXMEtVHuyJ+1yO5wyIqMl5BqaSEEDio3oJYcRsDjEdBJZnJHRIZkF/v/YSw2O24lnoFbe064IsG/9PVzb86B4fjDyBFkwJzIwt0cuiKd70mwpgj0FZM/LvEoMV3+l6/IEsDo5p2sF33ujwBGRAmKJXUIfVW3BfRGGA8GqaSudzhkIFxMHFEsMfbOPH4OOKyYvXqBri9ine83oeZkTkSsh7hk4sfYt2dlRhW422ZoqWieLjrEWxfsIGRpQKp59Jwb8l9OL/BEVYNlf2Bd/U+P359HUy61JUpGsPCBKUSShKPcFZ7FEZQYmXW57pyH0VzdDYeKGNkZCgCHLoAAK6kXsyVoNQ0r6X3WYKEO+kV/CWJVUjMmlhcnxYNoREwcTaB8+tOcBvJ/icVQXZUDDTR8TDtxddpAExQKiVryQ7vq76SOwyqwNbcXo41t5chTZMGG6UtxnhNkDskKqRGm+rLHQIVU+Zv52HctiYUjhxUD2CCQkR5eNNjBN70GIHotOvYG7cL9ib2codEVKmJjGxk7b8Myxnd5A7FYLD7FBHlq6Z5LXhb+OCzy5/IHQpRpZb5+2XAVAnjdl5yh2IwmKAQUYHUIhu302/JHQZRpZa5Iwqqng0gKflrOQf3BFEVpBZqZGozoREaCKFFpjYT2dpspGnSsDNmG5LVSRBC4FrqZay6tQxtqrWTO2SiSktz8xHU5+7BtHdDuUMxKOyDQlQFrbq1FCtuLdF9DjzSCs1sWuKrhgsR/iAMC298jWxtFqqZ2CHAvgtGeo6RMVqiyi3jtygom1SHUY1qcodiUJigEFVBIz3H5Jt0/K/x0nKOhqhqsxjbUe4QDBJv8RAREZHBYYJCREREBocJChERERkcJihERERkcJigEBERkcFhgkJEREQGp8wSlEWLFsHLywumpqZo0aIF/vjjj7JaFREREVUyZZKgbNq0CePHj8f06dNx6tQpdOzYET169MCtWxwum4iIiJ6vTBKU+fPnY8SIERg5ciTq16+PBQsWwMPDA4sXLy6L1REREVElU+ojyWZlZeGff/7BlClT9MqDgoJw9OjRXO0zMzORmZmp+5yYmAgAeKC9X9qhERXbI20cAOBS8r9I16TJHA2V1K20mwCAtKsZSPw7SeZoqCTSrmYAANQX4yDSs2WOpmpTX34AABBClM4CRSm7e/euACCOHDmiV/7555+LunXr5mo/c+ZMAYATJ06cOHHiVAmma9eulUo+UWbv4pEkSe+zECJXGQBMnToVEydO1H1+/PgxPD09cevWLdjY2JRVeFVCUlISPDw8cPv2bVhbW8sdToXGfVk6uB9LD/dl6eG+LB2JiYmoUaMG7OzsSmV5pZ6gODg4wMjICDExMXrlcXFxcHZ2ztVepVJBpVLlKrexseGJUkqsra25L0sJ92Xp4H4sPdyXpYf7snQoFKXTvbXUO8mamJigRYsWCA8P1ysPDw9Hu3btSnt1REREVAmVyS2eiRMn4o033kDLli3h5+eHpUuX4tatWxg9enRZrI6IiIgqmTJJUF599VXEx8dj9uzZuH//Pho1aoSwsDB4eno+d16VSoWZM2fmeduHiob7svRwX5YO7sfSw31ZergvS0dp70dJiNJ6HoiIiIiodPBdPERERGRwmKAQERGRwWGCQkRERAaHCQoREREZHINLUBYtWgQvLy+YmpqiRYsW+OOPP+QOqcIJCQmBJEl6k4uLi9xhGbzDhw+jT58+cHNzgyRJ2LZtm169EAIhISFwc3ODmZkZAgICEBUVJU+wBu55+3Lo0KG5ztG2bdvKE6wBmzNnDlq1agUrKys4OTmhf//+uHTpkl4bnpeFU5h9yfOycBYvXgxfX1/dwHZ+fn7YvXu3rr60zkmDSlA2bdqE8ePHY/r06Th16hQ6duyIHj164NatW3KHVuE0bNgQ9+/f103nzp2TOySDl5qaiiZNmmDhwoV51s+bNw/z58/HwoULERkZCRcXF3Tt2hXJycnlHKnhe96+BIDu3bvrnaNhYWHlGGHFEBERgXfffRfHjx9HeHg41Go1goKCkJqaqmvD87JwCrMvAZ6XheHu7o65c+fixIkTOHHiBDp16oR+/frpkpBSOydL5Y0+paR169Zi9OjRemX16tUTU6ZMkSmiimnmzJmiSZMmcodRoQEQW7du1X3WarXCxcVFzJ07V1eWkZEhbGxsxJIlS2SIsOJ4dl8KIURwcLDo16+fLPFUZHFxcQKAiIiIEELwvCyJZ/elEDwvS6JatWrixx9/LNVz0mCuoGRlZeGff/5BUFCQXnlQUBCOHj0qU1QV15UrV+Dm5gYvLy+89tpruH79utwhVWg3btxATEyM3vmpUqng7+/P87OYDh06BCcnJ9StWxdvvfUW4uLi5A7J4CUmJgKA7mVsPC+L79l9mYPnZdFoNBps3LgRqamp8PPzK9Vz0mASlIcPH0Kj0eR6oaCzs3OuFw9Swdq0aYM1a9Zg7969WLZsGWJiYtCuXTvEx8fLHVqFlXMO8vwsHT169MD69etx4MABfP3114iMjESnTp2QmZkpd2gGSwiBiRMnokOHDmjUqBEAnpfFlde+BHheFsW5c+dgaWkJlUqF0aNHY+vWrWjQoEGpnpNlMtR9SUiSpPdZCJGrjArWo0cP3b8bN24MPz8/1K5dG6tXr8bEiRNljKzi4/lZOl599VXdvxs1aoSWLVvC09MTu3btwoABA2SMzHCNHTsWZ8+exZ9//pmrjudl0eS3L3leFp6Pjw9Onz6Nx48fY/PmzQgODkZERISuvjTOSYO5guLg4AAjI6NcGVZcXFyuTIyKxsLCAo0bN8aVK1fkDqXCynkKiudn2XB1dYWnpyfP0XyMGzcOO3bswMGDB+Hu7q4r53lZdPnty7zwvMyfiYkJ6tSpg5YtW2LOnDlo0qQJ/ve//5XqOWkwCYqJiQlatGiB8PBwvfLw8HC0a9dOpqgqh8zMTPz7779wdXWVO5QKy8vLCy4uLnrnZ1ZWFiIiInh+loL4+Hjcvn2b5+gzhBAYO3YstmzZggMHDsDLy0uvnudl4T1vX+aF52XhCSGQmZlZuudkKXXgLRUbN24UxsbGYvny5eLChQti/PjxwsLCQkRHR8sdWoUyadIkcejQIXH9+nVx/Phx0bt3b2FlZcX9+BzJycni1KlT4tSpUwKAmD9/vjh16pS4efOmEEKIuXPnChsbG7FlyxZx7tw5MWjQIOHq6iqSkpJkjtzwFLQvk5OTxaRJk8TRo0fFjRs3xMGDB4Wfn5+oXr069+Uz3nnnHWFjYyMOHTok7t+/r5vS0tJ0bXheFs7z9iXPy8KbOnWqOHz4sLhx44Y4e/asmDZtmlAoFGLfvn1CiNI7Jw0qQRFCiO+//154enoKExMT0bx5c71HwKhwXn31VeHq6iqMjY2Fm5ubGDBggIiKipI7LIN38OBBASDXFBwcLIR48kjnzJkzhYuLi1CpVOKFF14Q586dkzdoA1XQvkxLSxNBQUHC0dFRGBsbixo1aojg4GBx69YtucM2OHntQwBi5cqVujY8LwvnefuS52XhDR8+XPd72tHRUXTu3FmXnAhReuekJIQQxbyiQ0RERFQmDKYPChEREVEOJihERERkcJigEBERkcFhgkJEREQGhwkKERERGRwmKERERGRwmKAQERGRwWGCQkRERAaHCQoREREZHCYoREREZHCYoBAREZHBYYJCREREBuf/AHJDAGBRSdJaAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_result(\"./out/cp/base/chuffed/ins-38.txt\")"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "555fsMYfUVZc"
   },
   "source": [
    "# VLSI Instance Parser\n",
    "\n",
    "Visualization of what positioning we obtain from the Bottom-Left Justified Technique used by the function used to estimate the upper bound $H_{UB}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "zg_R0XbAVvpG",
    "outputId": "dfe83bb0-5399-41e7-ee6a-87fab965447c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing the parse and the bounds computations for instance 38\n",
      "height:  5 width:  11\n",
      "height:  4 width:  11\n",
      "height:  19 width:  10\n",
      "height:  7 width:  10\n",
      "height:  16 width:  9\n",
      "height:  9 width:  9\n",
      "height:  5 width:  8\n",
      "height:  25 width:  7\n",
      "height:  13 width:  7\n",
      "height:  12 width:  7\n",
      "height:  7 width:  7\n",
      "height:  5 width:  7\n",
      "height:  24 width:  6\n",
      "height:  18 width:  6\n",
      "height:  11 width:  6\n",
      "height:  10 width:  6\n",
      "height:  5 width:  6\n",
      "height:  21 width:  5\n",
      "height:  23 width:  4\n",
      "height:  10 width:  4\n",
      "height:  2 width:  4\n",
      "height:  2 width:  4\n",
      "height:  1 width:  4\n",
      "height:  6 width:  3\n",
      "height:  5 width:  3\n",
      "height:  12 width:  2\n",
      "height:  7 width:  2\n",
      "height:  1 width:  2\n",
      "height:  4 width:  1\n",
      "Tape width:  30\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "74"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# test \n",
    "ins_num = 38\n",
    "print(f\"Testing the parse and the bounds computations for instance {ins_num}\")\n",
    "instance = VLSI_Instance(f'./instances/ins-{ins_num}.txt')\n",
    "\n",
    "for r in instance.rectangles:\n",
    "  print(\"height: \", r.height, \"width: \", r.width)\n",
    "\n",
    "print(\"Tape width: \", instance.W)\n",
    "instance.H_UB_naive(plot=True)\n",
    "instance.H_UB_rotation(plot=True)\n",
    "instance.H_UB_BL(plot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# CP results table\n",
    "We've realized a function to ease the extraction of the data to be printed on the final tables"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Chuffed (base) Or-Tools (base) Chuffed (SB) Or-Tools (SB)  \\\n",
      "1          8 BOLD          8 BOLD       8 BOLD        8 BOLD   \n",
      "2          9 BOLD          9 BOLD       9 BOLD        9 BOLD   \n",
      "3         10 BOLD         10 BOLD      10 BOLD       10 BOLD   \n",
      "4         11 BOLD         11 BOLD      11 BOLD       11 BOLD   \n",
      "5         12 BOLD         12 BOLD      12 BOLD       12 BOLD   \n",
      "6         13 BOLD         13 BOLD      13 BOLD       13 BOLD   \n",
      "7         14 BOLD         14 BOLD      14 BOLD       14 BOLD   \n",
      "8         15 BOLD         15 BOLD      15 BOLD       15 BOLD   \n",
      "9         16 BOLD         16 BOLD      16 BOLD       16 BOLD   \n",
      "10        17 BOLD         17 BOLD      17 BOLD       17 BOLD   \n",
      "11        18 BOLD         18 BOLD      18 BOLD       18 BOLD   \n",
      "12        19 BOLD         19 BOLD      19 BOLD       19 BOLD   \n",
      "13        20 BOLD         20 BOLD      20 BOLD       20 BOLD   \n",
      "14        21 BOLD         21 BOLD      21 BOLD       21 BOLD   \n",
      "15        22 BOLD         22 BOLD      22 BOLD       22 BOLD   \n",
      "16        23 BOLD         23 BOLD      23 BOLD       23 BOLD   \n",
      "17        24 BOLD         24 BOLD      24 BOLD       24 BOLD   \n",
      "18        25 BOLD         25 BOLD      25 BOLD       25 BOLD   \n",
      "19        26 BOLD         26 BOLD      26 BOLD       26 BOLD   \n",
      "20        27 BOLD         27 BOLD      27 BOLD       27 BOLD   \n",
      "21        28 BOLD         28 BOLD      28 BOLD       28 BOLD   \n",
      "22        29 BOLD         29 BOLD      29 BOLD       29 BOLD   \n",
      "23        30 BOLD         30 BOLD      30 BOLD       30 BOLD   \n",
      "24        31 BOLD         31 BOLD      31 BOLD       31 BOLD   \n",
      "25        32 BOLD         32 BOLD      32 BOLD       32 BOLD   \n",
      "26        33 BOLD         33 BOLD      33 BOLD       33 BOLD   \n",
      "27        34 BOLD         34 BOLD      34 BOLD       34 BOLD   \n",
      "28        35 BOLD         35 BOLD      35 BOLD       35 BOLD   \n",
      "29        36 BOLD         36 BOLD      36 BOLD       36 BOLD   \n",
      "30        37 BOLD         37 BOLD      37 BOLD            38   \n",
      "31        38 BOLD         38 BOLD      38 BOLD       38 BOLD   \n",
      "32       - (43**)         39 BOLD      39 BOLD            40   \n",
      "33        40 BOLD         40 BOLD      40 BOLD       40 BOLD   \n",
      "34        40 BOLD         40 BOLD      40 BOLD       40 BOLD   \n",
      "35        40 BOLD         40 BOLD      40 BOLD       40 BOLD   \n",
      "36        40 BOLD         40 BOLD      40 BOLD       40 BOLD   \n",
      "37        60 BOLD              61     - (73**)            61   \n",
      "38        60 BOLD              61      60 BOLD            61   \n",
      "39        60 BOLD         60 BOLD      60 BOLD       60 BOLD   \n",
      "40      - (103**)              93    - (103**)            92   \n",
      "\n",
      "   Chuffed (rotations) Or-Tools (rotations) Chuffed (rotations-SB)  \\\n",
      "1               8 BOLD               8 BOLD                 8 BOLD   \n",
      "2               9 BOLD               9 BOLD                 9 BOLD   \n",
      "3              10 BOLD              10 BOLD                10 BOLD   \n",
      "4              11 BOLD              11 BOLD                11 BOLD   \n",
      "5              12 BOLD              12 BOLD                12 BOLD   \n",
      "6              13 BOLD              13 BOLD                13 BOLD   \n",
      "7              14 BOLD              14 BOLD                14 BOLD   \n",
      "8              15 BOLD              15 BOLD                15 BOLD   \n",
      "9              16 BOLD              16 BOLD                16 BOLD   \n",
      "10             17 BOLD              17 BOLD                17 BOLD   \n",
      "11             18 BOLD              18 BOLD                18 BOLD   \n",
      "12             19 BOLD              19 BOLD                19 BOLD   \n",
      "13             20 BOLD              20 BOLD                20 BOLD   \n",
      "14             21 BOLD              21 BOLD                21 BOLD   \n",
      "15             22 BOLD              22 BOLD                22 BOLD   \n",
      "16             23 BOLD              23 BOLD                23 BOLD   \n",
      "17             24 BOLD              24 BOLD                24 BOLD   \n",
      "18             25 BOLD              25 BOLD                25 BOLD   \n",
      "19             26 BOLD              26 BOLD                26 BOLD   \n",
      "20             27 BOLD              27 BOLD                27 BOLD   \n",
      "21             28 BOLD              28 BOLD                28 BOLD   \n",
      "22             29 BOLD              29 BOLD               - (38**)   \n",
      "23             30 BOLD              30 BOLD                30 BOLD   \n",
      "24             31 BOLD              31 BOLD                31 BOLD   \n",
      "25            - (40**)              32 BOLD               - (40**)   \n",
      "26             33 BOLD              33 BOLD                33 BOLD   \n",
      "27             34 BOLD              34 BOLD                34 BOLD   \n",
      "28             35 BOLD              35 BOLD                35 BOLD   \n",
      "29             36 BOLD              36 BOLD                36 BOLD   \n",
      "30            - (44**)                   38               - (44**)   \n",
      "31             38 BOLD              38 BOLD                38 BOLD   \n",
      "32            - (43**)                   40               - (43**)   \n",
      "33             40 BOLD              40 BOLD                40 BOLD   \n",
      "34             40 BOLD              40 BOLD                40 BOLD   \n",
      "35             40 BOLD              40 BOLD                40 BOLD   \n",
      "36             40 BOLD              40 BOLD                40 BOLD   \n",
      "37            - (73**)                   61               - (73**)   \n",
      "38            - (74**)                   61               - (74**)   \n",
      "39            - (69**)                   61               - (69**)   \n",
      "40           - (103**)                   98              - (103**)   \n",
      "\n",
      "   Or-Tools (rotations-SB)  \n",
      "1                   8 BOLD  \n",
      "2                   9 BOLD  \n",
      "3                  10 BOLD  \n",
      "4                  11 BOLD  \n",
      "5                  12 BOLD  \n",
      "6                  13 BOLD  \n",
      "7                  14 BOLD  \n",
      "8                  15 BOLD  \n",
      "9                  16 BOLD  \n",
      "10                 17 BOLD  \n",
      "11                 18 BOLD  \n",
      "12                 19 BOLD  \n",
      "13                 20 BOLD  \n",
      "14                 21 BOLD  \n",
      "15                 22 BOLD  \n",
      "16                 23 BOLD  \n",
      "17                 24 BOLD  \n",
      "18                 25 BOLD  \n",
      "19                 26 BOLD  \n",
      "20                 27 BOLD  \n",
      "21                 28 BOLD  \n",
      "22                 29 BOLD  \n",
      "23                 30 BOLD  \n",
      "24                 31 BOLD  \n",
      "25                 32 BOLD  \n",
      "26                 33 BOLD  \n",
      "27                 34 BOLD  \n",
      "28                 35 BOLD  \n",
      "29                 36 BOLD  \n",
      "30                      38  \n",
      "31                 38 BOLD  \n",
      "32                      40  \n",
      "33                 40 BOLD  \n",
      "34                 40 BOLD  \n",
      "35                 40 BOLD  \n",
      "36                 40 BOLD  \n",
      "37                      61  \n",
      "38                      61  \n",
      "39                      61  \n",
      "40                      98  \n"
     ]
    }
   ],
   "source": [
    "df_base_cp_chuffed = read_reached_bounds(\"./out/cp/base/chuffed\",1,40)\n",
    "df_base_cp_ortools = read_reached_bounds(\"./out/cp/base/or-tools\",1,40)\n",
    "df_base_cp = pd.merge(df_base_cp_chuffed, df_base_cp_ortools, left_index=True, right_index=True)\n",
    "df_base_cp = df_base_cp.set_axis(['Chuffed (base)', 'Or-Tools (base)'], axis='columns', copy=False)\n",
    "\n",
    "df_sb_cp_chuffed = read_reached_bounds(\"./out/cp/base-sb/chuffed\",1,40)\n",
    "df_sb_cp_ortools = read_reached_bounds(\"./out/cp/base-sb/or-tools\",1,40)\n",
    "df_sb_cp = pd.merge(df_sb_cp_chuffed, df_sb_cp_ortools, left_index=True, right_index=True)\n",
    "df_sb_cp = df_sb_cp.set_axis(['Chuffed (SB)', 'Or-Tools (SB)'], axis='columns', copy=False)\n",
    "\n",
    "df_rot_chuffed = read_reached_bounds(\"./out/cp/rotations/chuffed\",1,40)\n",
    "df_rot_ortools = read_reached_bounds(\"./out/cp/rotations/or-tools\",1,40)\n",
    "df_rot_cp = pd.merge(df_rot_chuffed, df_rot_ortools, left_index=True, right_index=True)\n",
    "df_rot_cp = df_rot_cp.set_axis(['Chuffed (rotations)', 'Or-Tools (rotations)'], axis='columns', copy=False)\n",
    "\n",
    "df_rot_sb_chuffed = read_reached_bounds(\"./out/cp/rotations-sb/chuffed\",1,40)\n",
    "df_rot_sb_ortools = read_reached_bounds(\"./out/cp/rotations-sb/or-tools\",1,40)\n",
    "df_rot_sb_cp = pd.merge(df_rot_sb_chuffed, df_rot_sb_ortools, left_index=True, right_index=True)\n",
    "df_rot_sb_cp = df_rot_sb_cp.set_axis(['Chuffed (rotations-SB)', 'Or-Tools (rotations-SB)'], axis='columns', copy=False)\n",
    "\n",
    "\n",
    "df_cp = pd.merge(df_base_cp, df_sb_cp, left_index=True, right_index=True)\n",
    "df_cp = pd.merge(df_cp, df_rot_cp, left_index=True, right_index=True)\n",
    "df_cp = pd.merge(df_cp, df_rot_sb_cp, left_index=True, right_index=True)\n",
    "\n",
    "print(df_cp)\n",
    "df_cp.to_csv('./tabs/cp_benchmark.csv', index_label=\"instance\")\n"
   ]
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