ies8-hm1-sga-vs-cga-one-max-problem.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The sGA best solution is: (5, [1, 1, 1, 1, 1])\n",
      "The cGA best solution is: (5, [1, 1, 1, 1, 1])\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAJqCAYAAAAotoYgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzde3hV5Z33//dOCMeEQ4IgxQgEAREhEGIDaS2njFhjLQ/mEqlY46FoQTviSAGVYmUoWEQcNTwWa4kttMLQ6kzFij9EdNqAohxUZFQKWmmxIEE5iIUk6/nDH7tEwCQryd6Jvl/XxXUlO+u7v/daeyXc+eTea0WCIAiQJEmSvuQS4j0ASZIkqSFwYixJkiThxFiSJEkCnBhLkiRJgBNjSZIkCXBiLEmSJAFOjCVJkiTAibEkfaH88Y9/5PLLL+fMM8+kWbNmtGvXjj59+nD99dfz8ssvn7D9Y489RiQSif57/fXX4zBqSWoYnBhL0hfEXXfdxTe+8Q2WLl3Kzp076dixI+np6ezatYuFCxfy2GOPnVCzaNGiSp8XFxfHaLSS1PA4MZakRuLpp5/ma1/7Gu3ataNFixZ069aN//N//g87duxg1apVzJgxgyAIOPfcc3nttdf4y1/+wquvvkppaSkbNmzgW9/6VqXn27lzJ6tWrQIgOzsbgMWLF1NWVhbzfZOkhsCJsSQ1Ah988AHf/va3KSkpISUlhV69erF//36eeOIJ/vrXv7Jw4cLotsXFxfTp06dS/YABAxgyZEilxx599FEqKipo164dixcvJhKJ8Pe//52nnnoqJvskSQ2NE2NJagTeffddjhw5QkpKCv/7v//Lpk2b2Lt3L5s3b6ZXr15s2bIFgJSUFAYOHAjAunXrKq0fbt++faXnPLZsYsyYMfTq1Yuvf/3rwInLKyTpy8KJsSQ1An369CEjI4MDBw7QoUMHBgwYwLhx43jjjTcqTXgjkUj045SUFHJyck6YEMOnb9Lbtm0bAFdddRUAV155JQArVqxgz5499bk7ktQgOTGWpEagefPmvPLKK9x///2MGjWKSCTCr3/9a8aOHct9990XXTqxf/9+Nm/eDHw6mV63bh35+fknPN/xqfCFF15I27ZtueWWWwA4evQoS5YsicFeSVLD4sRYkhqB/fv3s3XrVm688UYWL17Mhg0buOCCCwBYvXo1119/fXTba665hu3bt5/yuQ4dOsSyZcuin3/00Ud89NFHHDx4MPqYyykkfRk5MZakRmD37t3k5uaSlpZGv379OPvss1m5ciUA/fr1Y8SIEdx1110AbNiwgZ49e9KjRw8yMzNPSH+XL18enQS//PLLBEEQ/bd48WIAXn31VTZs2BDDPZSk+IsEQRDEexCSpM+3b98+/u3f/o0XX3yR9957j6NHj9K5c2cKCgq46667aNq0KQBr1qzhgQceoKSkhL1799KmTRu+8pWvcP755zNmzBjOP/98hg4dyvPPP0+XLl145513KvX56KOP6NChA0eOHOHGG2/kgQceiMPeSlJ8ODGWJEmScCmFJEmSBDgxliRJkgAnxpIkSRLgxFiSJEkCnBhLqoXi4uLo7YY/e3UD1VxhYSGRSISuXbvGrOcrr7zC1772NVq1akUkEmHUqFF13mPNmjXR82TNmjVVbt+1a1cikQiFhYU16hOP41fX3nnnneixOnbL7tqq6fGXvsycGEsNyD/+8Q/mz5/P4MGDadOmDS1atKBHjx5ce+21bN26Nd7DO8Fpp51GTk4OOTk5NGvWLN7DqZHjJ/WRSISSkpJKX//e975X6es1FWZy1717d3JychgwYECN+4V17bXXUlJSQhAEnHfeefTq1euk2x0/uarphK1169bR86R169YnPN9nJ2sDBgwgJyeH7t27h9mlKh17bY79S0pKokuXLowdO5bXX3+9XnrGwql+MTjZ8Zd0ck3iPQBJn9q3bx8jRoxg48aNACQnJ9OjRw/ee+89fvGLX9C3b1969+4d51H+05EjR8jPzz/p7YYbo/vvv5/c3FwASktLY3pL5CAIKC8vZ/r06UyfPj1mfQG2bNkCwM0338xPfvKTeumRlZXFunXrqr39448/Xi/j+KyUlBTOOeccDh06xJYtW3jsscd48sknef311+nSpUtMxhALNT3+0peZibHUQNx4443RSfGtt95KaWkpr776Kvv27WPt2rVkZmZGt/3jH//IyJEjadOmDc2aNaNXr17MmjWLo0ePAnDDDTcQiUQ499xzK/W4+OKLiUQi/Mu//AsAv/rVr/jqV79K+/btSUpKol27dowcOZKXXnopWnN8svfwww8zbNgwmjdvzoIFC066lOLpp5/m/PPPp0OHDjRt2pTWrVtz/vnn84c//CH6nMf/uXjevHmMGzeOlJQUOnfuzL//+79XGvOBAwf44Q9/yFlnnUWzZs1ITU0lLy+P0tJS4NNJZVFREZmZmbRo0YI2bdpwySWX8MYbb1T72CclJfHb3/6Wv/3tbwA8/PDDHD58mKSkpBO2rWr/ju3bu+++C8Cjjz5aKXW+8847o5//4Q9/4JxzziEpKYnXX3/9hMTvv//7v6Pbrlq1CoDnn3+ehIQEIpEI//mf/3nKfTp8+DC33347Z511Fk2bNiU1NZVvfetb0bvZHXtdy8rKAJg9ezaRSIQ777yz2sftsynyxRdfTMuWLenWrRuPPPLISbdbs2YNd955J8OGDYt+fdiwYZXS9ZOl7VdeeSU9evQgJSWFpk2b0qVLF37wgx+wf//+ao/3s45NGF977bXojUwOHjxYaWK+aNEiBg4cSIsWLWjVqhWDBg2qdNw/ey6PHTuW5ORkOnTowI9//GOO3SrgVEskqvOXhXfffZdvfvObpKen06JFC1q0aMG5557LfffdF33+rl278uijj0a3P/54nyqdr+rnyPHj++53v8uMGTPo1KkT7dq1Y9y4cRw4cCD0sZcarEBS3H344YdBkyZNAiDIzMwMKioqTrntc889F922bdu2Qc+ePQMgAILLL788CIIgWLt2bfSx1157LQiCINi7d2+QlJQUAMHixYuDIAiCiRMnBs2bNw969uwZZGZmBs2aNQuAICUlJdi1a1e037Hnatq0adC+ffugd+/ewX/8x38EixYtin5tx44dQRAEwdy5c4OkpKQgIyMjGDBgQJCcnBwAQZMmTYJNmzYFQRAEO3bsiNYlJSUFnTp1Ctq3bx997JlnngmCIAj+8Y9/BFlZWdHH09PTg549ewYJCQnRfjfeeGP067179w46duwYAEGbNm2CP//5z6c8jsePfezYsQEQ3HHHHUFZWVlw5plnBomJicFll10W3eaYqvbvb3/7W5CTkxM0bdo0AIL27dsHOTk5QU5OThAEQTBjxoxKx7Nbt25Benp6sHHjxuCqq64KgKBLly7Rftdff30ABF27dg127doVdOvWLQCCwsLCzz2n8vLyon3OPvvsICUlJQCCFi1aBBs3bgxeeeWVICcnJ7pN586dg5ycnODhhx8+5Xl3bNtFixad8FhSUlLQtWvXoHXr1gEQJCQkBFu3bj1hu+eeey54+OGHg969e1d63XJycoK77rorCIIg6NKlSwAEV111VbR/q1atgrS0tCAzMzPIyMiI1hYUFES3OdnxO5ljzz9kyJDoYw8++GD0OefPnx8EQRDMnDmz0rnXqVOn6OcPPfRQEASVz+VmzZoFnTt3rrRdUVHRCdsdO34n29eTbbd+/foACM4444xgwIABQYcOHaLbPPjgg0EQBMGoUaOi30NNmzaNnnOvvPLKCcf/2GtS1c+R48eXlJQUpKSkRM8/ILjttts+9zhLjZETY6kBeOmll6L/2dx4442fu+03vvGN6H/UpaWlQRAEwZQpU6L1r776ahAEQXD22WcHQHD77bcHQRAECxcuDICgdevWwccffxwEQRC8+eabwaFDh6LP/fbbb0ef5+c//3kQBJUnNUOHDg0OHz4cBEEQlJWVnXRivGPHjmDfvn3R5ywtLY1Oyu64447oNsfqBg8eHPzjH/8I9uzZE524T5kyJQiCIHj00Uej2/3kJz+JPudbb70V7N+/P9ixY0cQiUQCIPjZz34WBEEQfPLJJ0GfPn0CILjuuutOeRyPH/tzzz0XNG/ePOjQoUPw61//OgCCSy+9NPi3f/u3EybG1dm/IDj55C4IKk+Mp06dGn28rKzspBO7Q4cOBb169QqA6KS/e/fuwYEDB065b6tXr472mDt3bhAEQbBr166gbdu2ARCMHj06uu2x7WbMmHHK5wuCqifGBQUFQUVFRbB58+boY//3//7fE7Y7fmL22cc+79ht3Lix0ja333579BeSY+dkTSfGKSkpQU5OTtC3b9/oeZScnBy88847wcGDB4MWLVoEQHDJJZcE5eXlwZEjR4Lzzz8/AILTTjstKC8vr3QuDx06NDh69Gjwj3/8I/jqV78aAMGZZ54ZBEHtJsb79u2Lfn8FQRCUl5dHfw58/etfjz5+qv0/2bGu7s+R44/Vzp07g/Ly8mDgwIEBEP1lT/oicSmF1AAEx92Zvao3eq1fvx6ACy+8kHbt2gHwne98J/r1l19+GYCrrroKgKVLlwLw2GOPATBmzBhatGgBwIcffsi3v/1tUlNTSUhIoEePHtHnObas4HjXX389zZs3ByAxMfGk4zty5AiFhYV06NCBxMREUlNTo39yPdlzXnbZZTRt2pT27dvToUMHAP7+978D8OKLLwKfLnW49dZbozXH/qS+fv366LG7/vrriUQiNG/ePLputrrrKtu3b893vvMddu/ezQ033ADATTfdVCf793n+9V//NfrxqY5ny5YtWbJkCYmJifz9738nISGBJUuWkJycfMrnPXaOwD/PjdNPPz26fOHYOVKXrrjiCiKRCOecc070sWOvY1149tlnOffcc2nRogWRSIRZs2YBUFZWxp49e0I954EDB3jxxRd54403OOOMMxgzZgxr166lS5cubNmyhcOHDwOffs8kJCSQlJREQUEBAHv27Ikulzlm9OjRNGnShKZNm0av7vGXv/yl1ksOkpKS+OlPf0qXLl1ISkoiMTGRF154Aaj5OXdMdX+OHDN8+HA6d+5MQkICZ599NlC3r6/UUPjmO6kB6NWrF02aNKGsrIw//vGPBEEQ6koIx7vyyiu5/fbb2bZtG08++STPP/88AFdffTXw6VrKkSNH8uGHH9K8eXMGDBhAUlJSdDJaXl5+wnN27Nixyr75+fls27aNJk2a0LdvX5o3b87GjRs5cuTISZ+zbdu20Y+bNPn0R9LxvygcU9XxyMzMjE7aj/nKV75S5XiP+cEPfsAvfvEL9u/fT2ZmJkOGDOH3v//9CdvVdP8+T3WOJ8DOnTujz11RUcGOHTvIycmpUa/6dux1PPYawslfxzCWLFkS/cWoU6dOpKen88EHH7B9+3bg5OdqdQwZMiRmly87/vw9frwfffRRlbU333wzP//5z4FPfylMTU3lz3/+Mx988EHofa+p6n6fSo2dibHUALRp04bLLrsMgI0bN3LbbbdF3xQF8MILL7B69WoAzjvvPODTN4Ht27cPgF//+tfRbbOzswHo3Llz9E123/ve9ygvL6dXr14MHjwYgDfffJMPP/wQgF/84he88sor3HfffZ87zqomp3v37mXbtm0A3HXXXWzatInHHnss9CT/2OTv6NGj3HvvvdHH//znP3Pw4EGys7Ojzz127FjWrVsX/VdUVFQpZa7KsckwnDotrsn+tWzZEoBDhw6dsmd1jsv777/PddddBxC9jNv3v/993nvvvVPWHDtH4J/nxvvvv89zzz0H/PMciadjxwc+/xjBP5P/lJQUduzYwYsvvsgFF1xQr+Pr06dP9C8rS5cupaKigqNHj7J8+XLg00sVfvbKFY8//jhlZWUcOXKE//qv/wLgzDPPJCUlJfrXEPj0/IVP35R47Hvw8xzb/wsuuIC33nqLNWvW0Llz5xO2O3ZMP/744yonrdX9OSJ92TgxlhqIBx54IDrxmTNnDqmpqfTr14+0tDSGDBnCq6++CsCPf/xjmjRpwnvvvUdGRga9evXi7rvvBuDyyy+nb9++0ec89k73999/v9LnABkZGbRq1Qr49Fq2/fr1q/XNHVJTUznjjDMAmDFjBn379iUrK6tSilgTl19+OVlZWQBMmTKFLl26cPbZZ9OrVy8++OADunXrFl36MHXqVLp06UJmZiapqalkZ2fzzDPP1KjfU089xZ49e055hYCa7N+xPzf/7ne/Y+DAgdGkviaCIKCwsJAPPviA8847j7Vr15KTk8OHH37IVVddRUVFxUnrhg0bRl5eHgCTJ0+md+/e9OrVK/rXgVhfEu5kunfvHr3qx3e/+10GDRoUnXR+Vr9+/YBPlz5kZGSQkZHBsmXL6nV8rVq14rbbbgM+vTpI165d6dq1K//zP/8DwMyZM0lIqPxf6EsvvUS3bt3o1q1b9C8vP/zhDwFo0aJF9JfSe+65h2HDhvGtb33rhOc4mWP7/8wzz9CrVy/S09NP+ovRsXNuz549nH322QwaNCi6HOSzavJzRPoycWIsNRCpqamUlJQwb948vvrVrwLw1ltv0bp1a6666qpoQjZ06FCee+45Lrjgguif1Xv27MnMmTP55S9/Wek5R40aFf0TaEJCAldeeWX0a+3ateM///M/Oeecc6ioqKBp06YnXTpQE5FIhN/+9recd955JCYmUl5ezpIlS2jfvn2o52vatClr1qxh8uTJZGRksGvXLnbv3s2QIUOiNyp48MEHuf/++8nMzGT37t3s2LGDTp068f3vf59LL720Rv1atmxJ+/btT7netyb79+///u8MGjSIpk2bsmHDBl577bUa7/8DDzzAypUradasGY8++ijNmjXjl7/8JS1btuS5555j3rx5p6z97//+b2677TYyMjL485//TEJCAhdffDF/+tOf6N+/f43HUtfS0tK4//77SU9PZ9++fbz44ovRX+A+69prr+WWW26hffv2HDhwgKFDh3LXXXfV+xjvuOMOfvGLX5CVlcWePXvYt28fOTk5LF26lOuvv/6E7WfNmsXQoUPZv38/7du3Z/r06UyYMCH69eLiYs4//3yaNGnCX//6Vx588EHS09OrHMe9997Lt7/9bZKTkzlw4ACTJ0/mW9/61gnbXXPNNVx66aW0adOGt956ixdffPGUSy1q8nNE+jKJBC4SkiQplHfeeYdu3boBn17zuKa3sZbUsJgYS5IkSTgxliRJkgCXUkiSJEmAibEkSZIEODGWJEmSACfGkiRJEuDEWJIkSQKcGEuSJEmAE2NJkiQJcGIsSZIkAU6MJUmSJACaVHfDiooKpk6dSmpqKlOnTmX37t3cd999HDhwgIyMDG666SaaNKn200mSJEkn2LRpE4sWLaKiooIRI0YwatSoSl9/5plnWLlyJQkJCTRv3pzrr7+eM844A4DHH3+c1atXk5CQwNVXX03//v1r1LvaifFTTz1F586do58vXryY/Px8HnjgAVq1asXq1atr1FiSJEk6XkVFBY888gi33XYb8+fP509/+hM7d+6stM3Xv/515s2bx9y5c/n2t7/No48+CsDOnTspKSnh3nvv5fbbb+eRRx6hoqKiRv2rNTHeu3cvGzZsYMSIEQAEQcCWLVsYNGgQAEOHDmX9+vU1aixJkiQdb9u2bZx++ul07NiRJk2akJube8Ics2XLltGPP/nkEyKRCADr168nNzeXpKQkOnTowOmnn862bdtq1L9aax+Ki4sZN24chw8fBuDAgQO0bNmSxMREAFJTUyktLa1RY0mSJOl4paWlpKWlRT9PS0vj7bffPmG7p59+mhUrVlBWVsaPfvSjaG2PHj2i24SZn1Y5MX7llVdo06YNGRkZbNmypUZPDrBq1SpWrVoFwJw5c2pcL0mSpPr17t/20uUraVVvWAcOHz7Mj3/84+jneXl55OXl1eg5LrzwQi688EL++Mc/8tvf/pYbb7yxTsZW5cT4zTff5OWXX2bjxo0cOXKEw4cPU1xczMcff0x5eTmJiYmUlpaSmpp60vrP7uzEx7fWeJB/3XuoxjXxMju/d8x7Xv3oyzHvGS/zCzJD1U1avrmOR1K/4rGfjannXw8dDt1Tn29y8YbQtXMLs+pwJA1X2GMUj+MTj9czHj2/N7dxvc9p3+Ir4j2EE3T5ShotBtTN5LIqhzc+eMqwNDU1lb1790Y/37t37ynnmAC5ubk8/PDDJ639vPnpqVS5xvg73/kODz30EEVFRdx8882ce+65/OAHP6BPnz6sW7cOgDVr1pCdnV2jxpIkSdLxunfvzq5du9i9ezdlZWWUlJScMMfctWtX9OMNGzbQqVMnALKzsykpKeHo0aPs3r2bXbt2cdZZZ9Wof+jrq11xxRXcd999PPbYY3Tr1o3hw4eHfSpJkiTFWyT+t7dITEzkmmuuYdasWVRUVDBs2DDS09NZunQp3bt3Jzs7m6effprXXnuNxMREkpOTmThxIgDp6ekMHjyYW265hYSEBK699loSEmq2TzWaGPfp04c+ffoA0LFjR2bPnl2jZpIkSdLnycrKIiur8rKaMWPGRD+++uqrT1k7evRoRo8eHbq3d+SQJEkS/P+XPfsyi39mLkmSJDUAJsaSJElqEGuM480jIEmSJGFiLEmSJHCNMSbGkiRJEmBiLEmSJHCNMSbGkiRJEmBiLEmSJHCNMSbGkiRJEuDEWJIkSQJcSiFJkiTwzXeYGEuSJEmAibEkSZLAN99hYixJkiQBJsaSJEkC1xhjYixJkiQBJsaSJEkC1xhjYixJkiQBJsaSJEkC1xhjYixJkiQBJsaSJEkC1xhjYixJkiQBJsaSJEkC1xhjYixJkiQBJsaSJEkCE2NMjCVJkiTAibEkSZIEuJRCkiRJAAlers3EWJIkScLEWJIkSeCb7zAxliRJkgATY0mSJIG3hMbEWJIkSQJMjCVJkgSuMcbEWJIkSQIgEgRBEMuGEx/fWuOacX071cNIPt+k5Ztj3jOsNbcOCV3bqXBJHY6keqaPHxy6dubCtaHqdhVfEbrngpLtoWu/DCbkZoSuDXtsb//Xe0P3HDmxMHRtrM3O7x26dtqKmv+sjVfPxibsMarN8anN6xJWPF7PlUXFoep+VXx73Q6knhVkxn5eUx0t/uXumPQ5/P9NiUmfMEyMJUmSJFxjLEmSJHCNMSbGkiRJEmBiLEmSJPA6xpgYS5IkSYCJsSRJksA1xpgYS5IkSYATY0mSJAlwKYUkSZLAN99hYixJkiQBJsaSJEkC33yHibEkSZIEmBhLkiQJXGPMF3xiPGn55pj3nF+QGfOeC0q2x7xnvEwfPzhUXW2O0cyFa0PXhrWr+IpQdbXZzwm5GTHvGdbIiYWha2fn9w5VN23F1pj3rI147GdjUpvXpDEdo3iMdWVRcejasN/bk4s3hO4ZDwXz8+M9BJ3CF3piLEmSpGpyjbFrjCVJkiQwMZYkSRKYGGNiLEmSJAEmxpIkSQKvSoGJsSRJkgSYGEuSJAlcY4yJsSRJkgRUIzE+cuQIM2bMoKysjPLycgYNGsRll11GUVERb7zxBi1btgRg4sSJdO3atb7HK0mSpPrgGuOqJ8ZJSUnMmDGD5s2bU1ZWxo9+9CP69+8PwJVXXsmgQYPqfZCSJElSfatyKUUkEqF58+YAlJeXU15eTsTfKCRJkvQFU601xhUVFUyePJnrrruOvn370qNHDwB+85vfcOutt1JcXMzRo0frdaCSJEmqR5GE2PxrwKp1VYqEhATmzp3LoUOHuOeee/jLX/7Cd77zHdq2bUtZWRk/+9nP+K//+i8KCgpOqF21ahWrVq0CYM6cOXU7ekmSJKmORIIgCGpSsHz5cpo2bcoll1wSfWzLli38/ve/Z+rUqVXWT3x8a40HOa5vpxrXAExavjlUXWNzWW56vIdQIxNyM0LXLijZXocjqZ6ZC9eGqps+fnAdj+SLJ+yxHTK0Vx2PpGori4pD146cWFhn46iu2fm9Y94z66IpMe8Zj2P7ZRH2nI/HazLuvM4x71kbBZnh5jX1rcXoR2LS5/Dvro1JnzCqzLP379/PoUOHgE+vUPHqq6/SuXNn9u3bB0AQBKxfv5709MY1OZMkSZKOV+VSin379lFUVERFRQVBEDB48GAGDhzIj3/8Y/bv3w9Aly5dGD9+fL0PVpIkSfXDiytUY2LcpUsXfvrTn57w+IwZM+plQJIkSVI8eEtoSZIkmRjjLaElSZIkwMRYkiRJAAbGJsaSJEkSmBhLkiQJ1xiDibEkSZIEmBhLkiQJE2MwMZYkSZIAE2NJkiRhYgyNZGI8afnmeA+h2uYXZMa850V3rghdO3384DocSfUsKNkeunZCbkaouk6FS0L3bExmLlwbujbsuRCPnt/s0TF0z2krtoaqGzmxMHTPxiTs8YH4HKPZ+b1D1dVmP1cWFYeq2/DU3aF7hh1v2LFC43o9L/rpmrodSD0rmJ8f7yHoFFxKIUmSJNFIEmNJkiTVL5dSmBhLkiRJgImxJEmSwFtC48RYkiRJDcimTZtYtGgRFRUVjBgxglGjRlX6+pNPPsmzzz5LYmIirVu35vvf/z6nnXYaAGvWrOF3v/sdAKNHj2bo0KE16u3EWJIkSQ1ijXFFRQWPPPIId9xxB2lpaUybNo3s7GzOOOOM6DZdu3Zlzpw5NGvWjGeeeYbFixczadIkDh48yPLly5kzZw4AU6dOJTs7m+Tk5Gr3d42xJEmSGoRt27Zx+umn07FjR5o0aUJubi7r16+vtM25555Ls2bNAOjRowelpaXAp0lzv379SE5OJjk5mX79+rFp06Ya9TcxliRJUoNIjEtLS0lLS4t+npaWxttvv33K7VevXk3//v1PWpuamhqdNFeXE2NJkiTF1NSpU6Mf5+XlkZeXV+PneOGFF9i+fTt33nlnnY3LibEkSZJimhgfWwf8Wampqezduzf6+d69e0lNTT1hu1dffZXHH3+cO++8k6SkpGjtG2+8Ed2mtLSUc845p0bjco2xJEmSGoTu3buza9cudu/eTVlZGSUlJWRnZ1faZseOHTz88MP88Ic/pE2bNtHH+/fvz4dej/MAACAASURBVObNmzl48CAHDx5k8+bN0WUW1WViLEmSpAaxxjgxMZFrrrmGWbNmUVFRwbBhw0hPT2fp0qV0796d7OxsFi9ezCeffMK9994LQPv27ZkyZQrJyclceumlTJs2DYCCgoIaXZECnBhLkiSpAcnKyiIrK6vSY2PGjIl+PH369FPWDh8+nOHDh4fu7cT4FOYXZIaqm7R8cx2PpH5NyM2Iec8FJdvjUhvW9PGDY95z5sK1oepqM9awPWsjbM9vzh1V9UZfACuLimtRXVhHo2jYpq3YGvOeIycWhqqrzVjDngthx1obs/N7x7zn3MKsqjdS1eIfGMeda4wlSZIkTIwlSZJEw1hjHG8mxpIkSRImxpIkScLEGEyMJUmSJMCJsSRJkgS4lEKSJEm4lAJMjCVJkiTAxFiSJEngDT4wMZYkSZIAE2NJkiThGmMwMZYkSZKARpIYzy/IDFU3afnmOh5JwzR9/ODQtQtKttfhSOrfzIVrQ9XV5hiFFXasEH68E3IzQveMh7DHaNqKraF7zs7v3Wh6QmHonl8WK4uKQ9VteOruuh1INWRdNCV07ciJhaHqwp974c/52nyvhDXuvM4x7/lFZGJsYixJkiQBjSQxliRJUv0yMTYxliRJkgATY0mSJGFiDCbGkiRJEmBiLEmSJPDOd5gYS5IkSYCJsSRJknCNMZgYS5IkSYATY0mSJAlwKYUkSZJwKQWYGEuSJEmAibEkSZIwMYZGMjGetHxzo+k5vyCzjkdStYvuXBG6dvr4wXU4kvq3q/iKUHWdCpfU8UiqFo9jW5v9DDvemQvXxrznN3t0DN1z2oqtoWsbU8/Z+b1D1cVjrLWx4am7Q9XVZj9XFhWHqgs7Vgg/3qyLpoTuOXJiYejasMKetxf9dE3dDqSeFczPj/cQdAqNYmIsSZKkemZg7BpjSZIkCUyMJUmShGuMwcRYkiRJAkyMJUmShIkxmBhLkiRJgImxJEmSMDEGE2NJkiQJqEZifOTIEWbMmEFZWRnl5eUMGjSIyy67jN27d3Pfffdx4MABMjIyuOmmm2jSxABakiSpMTIxrsbEOCkpiRkzZtC8eXPKysr40Y9+RP/+/XnyySfJz8/na1/7GgsXLmT16tVccMEFsRizJEmSVOeqXEoRiURo3rw5AOXl5ZSXlxOJRNiyZQuDBg0CYOjQoaxfv75+RypJkqT6E4nRvwasWmsfKioqmDJlCu+//z4jR46kY8eOtGzZksTERABSU1MpLS2t14FKkiRJ9alaE+OEhATmzp3LoUOHuOeee/jb3/5W7QarVq1i1apVAMyZMyfcKCVJkqR6VqN3y7Vq1Yo+ffrw1ltv8fHHH1NeXk5iYiKlpaWkpqaetCYvL4+8vLw6GWxNzS/IDF07afnmmNbVxvTxg2PeM14WlGwPVRePYzQhNyN0bafCJXU4kuqZuXBtqLp4HNtpK7aGrl1ZVByqbuTEwkbVM+wxmp3fO+Y94yHsawK1e11iLR5jjcc5NLcwK3RP/ZNvvqvGGuP9+/dz6NAh4NMrVLz66qt07tyZPn36sG7dOgDWrFlDdnZ2/Y5UkiRJqkdVJsb79u2jqKiIiooKgiBg8ODBDBw4kDPOOIP77ruPxx57jG7dujF8+PBYjFeSJEn1wMS4GhPjLl268NOf/vSExzt27Mjs2bPrZVCSJElSrHlHDkmSJGFg7C2hJUmSJMDEWJIkSbjGGEyMJUmSJMDEWJIkSbjGGEyMJUmSJMDEWJIkSbjGGEyMJUmSJMDEWJIkSbjGGBrJxHh+QWaouknLNzeqnqrazIVrQ9VNHz+4jkdStU6FS0LXhh3vhNyM0D0XlGwPXRtW2NdzyNBeoXtueOruUHXTVmxtVD3DikfP2si6aEqourCvSW2EHSvAyImFoepm5/cO3TPsudDYziHpeI1iYixJkqT6lZBgZOwaY0mSJAknxpIkSRLgUgpJkiThm+/AxFiSJEkCTIwlSZKEN/gAE2NJkiQJMDGWJEkSrjEGE2NJkiQJMDGWJEkSrjEGE2NJkiQJMDGWJEkSJsZgYixJkiQBJsanNGn55ngP4QtrQm5GvIdQIzMXrg1VN3384DoeSdUWlGyPec/GZtqKraHqVhYV16JrYS1qw5md3zvmPbMumhLzniMnFoaqC3se1EbYsdZGbfYz7Dkfj/1U3TAwNjGWJEmSABNjSZIk4RpjMDGWJEmSABNjSZIk4RpjMDGWJEmSACfGkiRJEuBSCkmSJOGb78DEWJIkSQJMjCVJkoRvvgMTY0mSJAkwMZYkSRKuMQYTY0mSJAkwMZYkSRKuMQYnxpIkSWpANm3axKJFi6ioqGDEiBGMGjWq0tffeOMNHn30Ud59911uvvlmBg0aFP3amjVr+N3vfgfA6NGjGTp0aI16OzGWJElSg1hjXFFRwSOPPMIdd9xBWloa06ZNIzs7mzPOOCO6Tfv27ZkwYQK///3vK9UePHiQ5cuXM2fOHACmTp1KdnY2ycnJ1e7vGmNJkiQ1CNu2beP000+nY8eONGnShNzcXNavX19pmw4dOtClS5cTJvKbNm2iX79+JCcnk5ycTL9+/di0aVON+psYS5IkKaZrjKdOnRr9OC8vj7y8PABKS0tJS0uLfi0tLY233367Ws/52drU1FRKS0trNC4nxpIkSYqpY8sdGhqXUkiSJIlIJBKTf58nNTWVvXv3Rj/fu3cvqamp1Rr/Z2tLS0urXXuME2NJkiQ1CN27d2fXrl3s3r2bsrIySkpKyM7OrlZt//792bx5MwcPHuTgwYNs3ryZ/v3716i/SykkSZLUIK5jnJiYyDXXXMOsWbOoqKhg2LBhpKens3TpUrp37052djbbtm3jnnvu4dChQ7zyyissW7aMe++9l+TkZC699FKmTZsGQEFBQY2uSAFOjCVJktSAZGVlkZWVVemxMWPGRD8+66yzeOihh05aO3z4cIYPHx66t0spJEmSJEyMJUmSRMO4wUe8mRhLkiRJmBhLkiSJhvHmu3hrFBPjScs3x7zn/ILMmPcM66I7V4SunT5+cB2OpHo6FS4JXRt2vDMXrv1S9IyHeOznN3t0DN0zrNn5d8e857QVW2Neu7KoOHTPDU81nmM0O793zHs2NmFfz9ocn7Cvy0U/XRO6ZzwUzM+P9xB0Co1iYixJkqT65Rpj1xhLkiRJgImxJEmSMDEGE2NJkiQJMDGWJEkSXpUCTIwlSZIkwMRYkiRJuMYYTIwlSZIkoBqJ8QcffEBRUREffvghkUiEvLw8LrroIpYtW8azzz5L69atARg7dixZWVn1PmBJkiTVPQPjakyMExMTufLKK8nIyODw4cNMnTqVfv36AZCfn88ll1xS74OUJEmS6luVE+N27drRrl07AFq0aEHnzp0pLS2t94FJkiQpdlxjXMM1xrt372bHjh2cddZZAKxcuZJbb72VBQsWcPDgwXoZoCRJkhQL1b4qxSeffMK8efMoLCykZcuWXHDBBRQUFACwdOlSfvnLXzJhwoQT6latWsWqVasAmDNnTh0NW5IkSapb1ZoYl5WVMW/ePM4//3xycnIAaNu2bfTrI0aM4O677z5pbV5eHnl5eXUw1JqbX5AZ856Tlm+Oec/p4wfHvGe8zFy4NlRdbY7RhNyM0LVhxWM/49EzrGkrtsa85+z83qFr4zHelUXFoepGTiys03E0VLV5TcKeC43tvI1Hz7DHaG6hb/6vC66kqMZSiiAIeOihh+jcuTMXX3xx9PF9+/ZFP37ppZdIT0+vnxFKkiRJMVBlYvzmm2/ywgsvcOaZZzJ58mTg00uz/elPf+Kdd94hEolw2mmnMX78+HofrCRJkupHgpFx1RPjs88+m2XLlp3wuNcsliRJ0heJt4SWJEmSa4zxltCSJEkSYGIsSZIkvMEHmBhLkiRJgImxJEmSgAQDYxNjSZIkCUyMJUmShGuMwcRYkiRJAkyMJUmShNcxhi/4xHjS8s2ha+cXZNbhSOrXzIVrQ9fuKr6iDkfScNXmGOnzxePYlswdFbp22oqtMa2rjZVFxaFrR04srLNxVFc8jlE8NK5zobAOR1E9s/N7x7x2y+79oXtKx/tCT4wlSZJUPRGMjF1jLEmSJOHEWJIkSQJcSiFJkiS8wQeYGEuSJEmAibEkSZLwBh9gYixJkiQBJsaSJEnCG3yAibEkSZIEmBhLkiQJSDAyNjGWJEmSwMRYkiRJuMYYTIwlSZIk4AueGM8vyAxdO2n55jocSf2aPn5w6NoFJdvrcCQNV22OUVgTcjNC185cuDamdbURj2M7bcXW0LUri4pD1Y2cWNioeoY1O7936NravC5hhR1v1kVTQvcM+7rU5thCuJ6NTdhzaNx5net4JF9OXsfYxFiSJEkCvuCJsSRJkqrHwNjEWJIkSQJMjCVJkoTXMQYTY0mSJAlwYixJkiQBLqWQJEkS4EIKE2NJkiQJMDGWJEkS3uADTIwlSZIkwMRYkiRJQIKBsYmxJEmSBI0kMZ5fkBmqbtLyzXU8EtWFCbkZoWsXlGyvw5FUz8yFa2Pec/r4wTHvGQ9hj+2Qob1C9xw5sTBU3cqi4pj3rI3Z+b1j3rM2xyi8wlBV8XhNpq3YGvOetRH+9Sysw1EollxjbGIsSZIkAY0kMZYkSVL9MjA2MZYkSZIAE2NJkiThGmMwMZYkSZIAE2NJkiThdYzBxFiSJEkCTIwlSZKEa4zBxFiSJEkCnBhLkiRJgEspJEmSBLiQwsRYkiRJAkyMJUmSBCT45jsiQRAEsWw48fGtNa555c3doXrNL8gMVQcwafnm0LWxdllueryHoJOYkJsRurZT4ZI6HEn9mj5+cMx7vvBWaejalUXFoepGTixsVD3Dmp3fO3TttBU1//leW2HHm3XRlNA9w74uje3YhhWP/Rx3XufQPeOhILNTvIdwUtctfT0mfX4+5tyY9AnDxFiSJEkYGLvGWJIkSQJMjCVJkoQ3+AATY0mSJAkwMZYkSRKuMQYTY0mSJAkwMZYkSRJexxhMjCVJkiSgGonxBx98QFFRER9++CGRSIS8vDwuuugiDh48yPz589mzZw+nnXYakyZNIjk5ORZjliRJUh1rKIHxpk2bWLRoERUVFYwYMYJRo0ZV+vrRo0d58MEH2b59OykpKdx888106NABgMcff5zVq1eTkJDA1VdfTf/+/WvUu8rEODExkSuvvJL58+cza9YsVq5cyc6dO3niiSfo27cv999/P3379uWJJ56oUWNJkiTpeBUVFTzyyCPcdtttzJ8/nz/96U/s3Lmz0jarV6+mVatWPPDAA+Tn57Nkyad3i925cyclJSXce++93H777TzyyCNUVFTUqH+VE+N27dqRkfHprW1btGhB586dKS0tZf369QwZMgSAIUOGsH79+ho1liRJUsMRiURi8u/zbNu2jdNPP52OHTvSpEkTcnNzT5hjvvzyywwdOhSAQYMG8frrrxMEAevXryc3N5ekpCQ6dOjA6aefzrZt22p0DGq0xnj37t3s2LGDs846i48++oh27doB0LZtWz766KMaNZYkSZKOV1paSlpaWvTztLQ0SktLT7lNYmIiLVu25MCBAyfUpqamnlBblWpfleKTTz5h3rx5FBYW0rJly0pf+7zfAFatWsWqVasAmDNnTo0Gd8z8gsxQdV8WE3IzQtd2KlxShyOpnunjB4eunblwbai6XcVXhO65oGR7TOugdsco1mpz/oU9RiuLikP3HDmxMHRtrHvOzu8duue0FVtD1zYmYfezNudB2NelNq9Jbc6FsMKOtzb7GfZ7e1zx7aF76p9ieUWGqVOnRj/Oy8sjLy8vht1PrVoT47KyMubNm8f5559PTk4OAG3atGHfvn20a9eOffv20bp165PWNqSdlSRJUvydKixNTU1l79690c/37t1LamrqSbdJS0ujvLycjz/+mJSUlBNqS0tLT6itSpW/HARBwEMPPUTnzp25+OKLo49nZ2fz/PPPA/D8889z3nnn1aixJEmSdLzu3buza9cudu/eTVlZGSUlJWRnZ1faZuDAgaxZswaAdevW0adPHyKRCNnZ2ZSUlHD06FF2797Nrl27OOuss2rUv8rE+M033+SFF17gzDPPZPLkyQCMHTuWUaNGMX/+fFavXh29XJskSZIap6reGBcLiYmJXHPNNcyaNYuKigqGDRtGeno6S5cupXv37mRnZzN8+HAefPBBbrrpJpKTk7n55psBSE9PZ/Dgwdxyyy0kJCRw7bXXkpBQswUiVU6Mzz77bJYtW3bSr/3oRz+qUTNJkiTp82RlZZGVlVXpsTFjxkQ/btq0KbfccstJa0ePHs3o0aND9/aW0JIkSSIh/oFx3HlLaEmSJAkTY0mSJGFiDCbGkiRJEmBiLEmSJBrGVSnizcRYkiRJwsRYkiRJuMYYTIwlSZIkwMRYkiRJgEuMG8nE+K+HDoeqm1y8IXTPuYVZVW9Uxz3Durz45dC1JXNH1eFI6t8LQ3uFqqvNMWpMZuf3Dl07bcXWUHUvvFUauufKouJQdbP+4+R3PKpPMxeuDV07ffzgUHW5k5+Iec8/vP330D2fX/Nm6NpYC3t8IPwxqs3xyQ1ZW5v9DDve2vT8Rsjv7c6tWoTuKR2vUUyMJUmSVL8SjIxdYyxJkiSBibEkSZIwLQWPgSRJkgQ4MZYkSZIAl1JIkiQJL9cGJsaSJEkSYGIsSZIkvFwbmBhLkiRJgImxJEmScI0xmBhLkiRJgImxJEmSgAQTYxNjSZIkCRpJYjy5eEO8h1BtcwuzYt7zysJZoWtn599dhyOpnmkrtoaunZ3fO1Rd1kVTQvccObEwdG2s1ebYhrWyqDh0bdhjOyE3I3TPBSXbQ9VNHz84dM/GZObCtaFrPUafrzbHJ2zPxvZ6hv3eHnrP83U8kvq1buqQeA/hpLwqhYmxJEmSBDSSxFiSJEn1y8DYxFiSJEkCTIwlSZKEV6UAE2NJkiQJMDGWJEkSEMHI2MRYkiRJwomxJEmSBLiUQpIkSfjmOzAxliRJkgATY0mSJGFiDCbGkiRJEvAFT4znFmbFvOfk4g0x7zlyYmHMe8bLtBVbQ9XV5hjNzu8dujasrIumhKqrzX6uLCqOec+wFpRsD107c+HaUHXTxw+Oec/aiMd+Nia1eU0a0zGKx1gn5GaErg37vT2/IDN0T/1TxHtCmxhLkiRJ8AVPjCVJklQ9rjE2MZYkSZIAE2NJkiQBLjE2MZYkSZIAE2NJkiQBCUbGJsaSJEkSmBhLkiQJr0oBJsaSJEkSYGIsSZIkvCoFmBhLkiRJgBNjSZIkCXAphSRJkoAEXEvhxPgUJhdvCFU3tzCrjkdStcXr/xq6dtqKrXU4kvo3O793qLra7GfY2rBjBRg5sTBU3cqi4pj3rI2wx+gPb/+9jkfSME0fPzjeQ2jwJuRmhKqbuXBt6J5ha3cVXxG6Z1i12c+w59+Cku2he4Y1afnmmPesjXVTh8R7CDoFJ8aSJEnyzXe4xliSJEkCTIwlSZKEN/gAE2NJkiQJMDGWJEkSkOAiYxNjSZIkCUyMJUmShFelABNjSZIkCahGYrxgwQI2bNhAmzZtmDdvHgDLli3j2WefpXXr1gCMHTuWrKzY39hCkiRJdcM1xtWYGA8dOpQLL7yQoqKiSo/n5+dzySWX1NvAJEmSpFiqcmJ8zjnnsHv37liMRZIkSXFiYFyLN9+tXLmSF154gYyMDL773e+SnJxcl+OSJEmSYirUxPiCCy6goKAAgKVLl/LLX/6SCRMmnHTbVatWsWrVKgDmzJkTcpixN7cw3JrpycUb6ngkVcvs0zF07ez83nU4kuqZtmJrXGrDiscxWllUHKpu5MTCRtUz7Ov5jZ6poXs2JjMXro15z+njB8e8Z20sKNke855hj1Ftxhr2XIjH6zkhNyN0bdhjNL8gM3RP/ZNXZAg5MW7btm304xEjRnD33Xefctu8vDzy8vLCtJEkSZJiJtQvB/v27Yt+/NJLL5Genl5nA5IkSZLiocrE+L777uONN97gwIED3HDDDVx22WVs2bKFd955h0gkwmmnncb48eNjMVZJkiTVk4jvvqt6YnzzzTef8Njw4cPrZTCSJElSvHhLaEmSJGFe7BsQJUmSJMDEWJIkSXhLaDAxliRJkgATY0mSJOEaYzAxliRJkgATY0mSJAEuMTYxliRJkgATY0mSJOGd7wAiQRAEsWw48fGtNa4ZltE2VK/JxRtC1QHMLcwKXRtri9f/Nd5D0EmsLCoOXbvhqbvrbiD1bNqKmn9P19Y3eqaGrp2QmxGqbkHJ9kbVM6yZC9eGrp0+fnAdjqR6wo53V/EVoXuGfV0a27ENKx77uazkvdA942Hd1CHxHsJJ/WZjbOYTYwd0jkmfMEyMJUmS5PpaPAaSJEkSYGIsSZIkXGMMJsaSJEkSYGIsSZKkBigIAhYtWsTGjRtp1qwZEyZMICPjxDcz/+Y3v+GFF17g4MGD/OpXv4o+fvToUR588EG2b99OSkoKN998Mx06dPjcnibGkiRJIhKjf9W1ceNG3n//fe6//37Gjx/Pz3/+85NuN3DgQH7yk5+c8Pjq1atp1aoVDzzwAPn5+SxZsqTKnk6MJUmS1OC8/PLLfOMb3yASidCzZ08OHTrEvn37TtiuZ8+etGvX7qT1Q4cOBWDQoEG8/vrrVHWVYifGkiRJIhKJxORfdZWWltK+ffvo52lpaZSWltaoPi0tDYDExERatmzJgQMHPrfGNcaSJEmKqalTp0Y/zsvLIy8vL46j+ScnxpIkSYrpMoI5c+ac9PGnn36aZ599FoDu3bvzwQcfRL+2d+9eUlOrf+fT1NRU9u7dS1paGuXl5Xz88cekpKR8bo0TY0mSJDUIF154IRdeeCEAGzZs4Omnn+ZrX/sab7/9Ni1btjzpWuJTGThwIGvWrKFnz56sW7eOPn36VLmUwzXGkiRJanBrjAcMGECHDh34wQ9+wM9+9jOuu+666NcmT54c/Xjx4sXccMMNHDlyhBtuuIFly5YBMHz4cA4ePMhNN93Ek08+yRVXXFFlTxNjSZIkNTiRSKTSZPh4c+fOjX48btw4xo0bd8I2TZs25ZZbbqlRTyfGpzC5eEOourmFWXU8ki+e2fm9Y95z2oqtoWtXFhWHqhs5sTB0z7Bqs5/xeF3iYUHJ9lB1MxeureOR1K8JuSdeBL++xeMYTR8/OFRd2PMAwu9n2LHWRmM7bxVf3hDapRSSJEkSYGIsSZIkoAbLf7+wTIwlSZIkTIwlSZIEJLjK2MRYkiRJAhNjSZIk4RpjMDGWJEmSACfGkiRJEuBSCkmSJAER33xnYixJkiSBibEkSZLwzXdgYixJkiQBjSQxnly8IeY95xZmxbxnWCuLikPXbnjq7robSDVNW7E1dO3s/N6h6mpzjEZOLAxdG1ZtjlGse8bj2E7IzQjdc0HJ9lB108cPDt0zrJkL1zaqnvE4Rl8W8TgX4vF6hv3eXlbyXh2P5MvJG3yYGEuSJElAI0mMJUmSVL9cY2xiLEmSJAEmxpIkScLEGEyMJUmSJMDEWJIkSXjnOzAxliRJkgATY0mSJAEJBsYmxpIkSRKYGEuSJAnXGIOJsSRJkgQ4MZYkSZIAl1JIkiQJb/ABjWRiPLcwK95DqLbJxRti3nPDU3eHrp22YmsdjqT+ZV00JVRdbY5RWPE4trPze4euDTveeJx/nQqXhO45ffzg0LWxVpuxzly4NuY94yEe+7mr+IpQdfE4byfkZoTuuaBke+jasMIeo6fuzK/jkejLqlFMjCVJklS/fPOda4wlSZIkwMRYkiRJeIMPMDGWJEmSABNjSZIk4RpjMDGWJEmSABNjSZIk4XWMwcRYkiRJAqqRGC9YsIANGzbQpk0b5s2bB8DBgweZP38+e/bs4bTTTmPSpEkkJyfX+2AlSZJUPwyMq5EYDx06lNtuu63SY0888QR9+/bl/vvvp2/fvjzxxBP1NkBJkiQpFqqcGJ9zzjknpMHr169nyJAh/L/27j+26upu4Pj7tghYhP5S6mRjs0yeyY85K91AnaiUyWRL2EJI1GUPWVhj2kHArKFuEWOwofPC2qE14uNCN7Nn05CBcXsGSyVippCBrRKKgqDbdBMYbS2lUKXt9/kDvcooLXxve++tfb+SJvT2nvv59NOT9PTDuecAzJw5k507dw5MdpIkSUqItEgkIR+pLNQe49bWVrKzswHIysqitbW1X5OSJEmSEi3uUykikQiRXlb/dXV11NXVAVBZWRkqRlltfahx0YUFocbFIxkx7/3jawmPGY8tNbWhx95WujDUuHhqtGru1aHHJloy5kIyavuniTmhY4ZVcn1+6LGPvvRmP2YysFY+vj302Hdr7+rHTFJX2J/nfcUz+jmTvsUz98LO+Xhihq3Rsg2vho6ZDDvKZyY7hR6ldi83MUItjDMzM2lpaSE7O5uWlhbGjBlzzucWFRVRVFQUOkFJkiQpEUJtpZg2bRrbtm0DYNu2bRQWFvZrUpIkSVKi9dkxrq6uZu/evbS1tXH33XezYMEC5s2bR1VVFVu3bo0d1yZJkqRBzL0UfS+Mly5d2uPjK1as6PdkJEmSpGTxSmhJkiQRsWXsldCSJEkS2DGWJEkSkOJ3bySEHWNJkiQJO8aSJEnCQynAjrEkSZIE2DGWJEkS2DLGjrEkSZIE2DGWJEkSnmMMEAmCIEhkwNKNr13wmFvyswYgk96V1daHGhddWNDPmfRt8tgxoccW3L68HzM5P7eVLkx4zFVzrw499t4/XvicjVfYfOPJNZ4aJdr1ZZtCj72veEY/ZjKwSq7PDz320Zfe7MdMlGxh50Iy5sHKx7cnPOZ/TflswmPGY0f5zGSn0KNdbx1LSJxpV4Zftww0O8aSJEnyHGPcYyxJkiQBdowlSZKEh1KAHWNJkiQJcGEsSZIkAW6lkCRJEriXAjvGkiRJEmDHWJIkSXjB5cTItwAAEK5JREFUB9gxliRJkgA7xpIkScILPsCOsSRJkgTYMZYkSRIeSgF2jCVJkiTAjrEkSZLAljF2jCVJkiTAjrEkSZLwHGOwYyxJkiQBdowlSZKE5xiDHWNJkiQJsGMsSZIkPJQC7BhLkiRJgB1jSZIkgS1j7BhLkiRJgAtjSZIkCXArhSRJkvCCD7BjLEmSJAGDpGNcVluf8JjRhQUJjxlWwe3LQ4+t/7+f9WMm5+feP74WeuyquVeHGhdPjW4rXRh6bFjx1CjRMbfU1IaOGba279beFTrmoy+9GXpson1m4W9Cj72veEaocSsf357wmINN2BrFU5945kJYYfON5/ssuT4/1LibV28LHVMfS7ULPoIgYP369TQ0NDBixAhKSkrIzz9zjrz//vv8/Oc/5/Dhw6SlpXHddddx112nf0ecOnWKRx55hDfffJPRo0ezdOlSxo4d22tMO8aSJElKOQ0NDRw6dIi1a9dSXFzME0880ePzvv3tb1NdXc1DDz3Evn37aGhoAGDr1q2MGjWKhx9+mLlz5/Kb3/T9B6YLY0mSJBFJ0Mf52rVrFzfddBORSISJEyfS3t5OS0vLGc8ZMWIEU6ZMAWDYsGFceeWVNDU1xcbffPPNAEyfPp09e/YQBEGvMV0YS5IkKeU0Nzdz6aWXxj7Pzc2lubn5nM9vb2/n5ZdfZurUqbHxubm5AKSnp5ORkUFbW1uvMQfFHmNJkiQNsATuMS4vL4/9u6ioiKKiorher6uri1/84hd885vfJC8vL/TruDCWJElSQlVWVvb4+ObNm3nuuecAmDBhAkePHo19rampiZycnB7HrVu3jssvv5y5c+fGHsvJyaGpqYnc3Fy6uro4ceIEo0eP7jUvF8aSJElKiXOM58yZw5w5cwCor69n8+bN3HDDDbzxxhtkZGSQnZ191pjf/e53nDhxgrvvvvuMx6+77jqef/55Jk6cyI4dO5g8eTKRPo7ecI+xJEmSUs61117L2LFjWbJkCevWrWPRokWxr5WVlQGnu8i///3v+ec//8ny5cspKyuLdZxvvfVWjh8/zuLFi/nDH/4QO8atN3aMJUmSlHLnGEcikTMWw58UjUaB02/Ie/rpp3t8zvDhw7nnnnsuKKYdY0mSJAk7xpIkSSKhh1KkLDvGkiRJEnaMJUmSBLaMsWMsSZIkARAJ+ro0up+VbnztgsdMyB0xAJkMjJWPb094zP8puzXhMZOlrLY+1LjowoJ+zmRgJeP7HEwx8/IuCR1Tvauaf03oscs2vNqPmaSusDVKRn2S8fNMRsz1/z0tdMxkuPozo5KdQo/2Hz6RkDgT8zISEicMt1JIkiQpJS74SDa3UkiSJEnYMZYkSRKpd8FHMtgxliRJkrBjLEmSJDytDewYS5IkSYAdY0mSJIEtY+wYS5IkSUCcHePS0lJGjhxJWloa6enpVFZW9ldekiRJSiDPMe6HrRT3338/Y8aM6Y9cJEmSpKRxj7EkSZI8x5h+WBhXVFQAMHv2bIqKiuJOSJIkSUqGuBbGK1euJCcnh9bWVh588EGuuOIKJk2adMZz6urqqKurA3APsiRJUoqyYRznwjgnJweAzMxMCgsLOXDgwFkL46KiIjvJkiRJSnmhj2vr6Ojg5MmTsX/v3r2b8ePH91tikiRJSqBIgj5SWOiOcWtrK6tXrwagq6uLG2+8ka985Sv9lpgkSZKUSKEXxnl5eUSj0f7MRZIkSUoaj2uTJEmSF3zgldCSJEkSYMdYkiRJeMEH2DGWJEmSADvGkiRJIuVPUksIO8aSJEkSdowlSZKEe4zBjrEkSZIE2DGWJEkS4C5jiARBECQyYOnG1y54zITcEQOQSe9WPr491Lj7imf0cyZ9G595ceixZbX1/ZjJ+YkuLEh4zHiErVEyvs94fp6D6eey+k/7k51CQlTNvybZKVyQZRteTXjMsDUaTLnGIxnfZzJcfumoZKdwQTYtmpbsFHr0TssHCYnz2ezhCYkThh1jSZIkuccY9xhLkiRJgB1jSZIk4Q5jsGMsSZIkAXaMJUmShHuMwY6xJEmSBLgwliRJkgC3UkiSJAmI+PY7O8aSJEkS2DGWJEkSeF4bdowlSZIkwI6xJEmSsGEMdowlSZIkACJBEASJDFi68bULHjMhd0SoWCsf3x5qHMB9xTNCj020h0PU9CPRhQX9mEnqKqutT3YKF2Qw/VySUdv/Lb0h4TGXbXg19Niq+dcMiZiDSdj6wNCpUTKE/bn87PkD/ZzJwNq0aFqyU+jRkbZTCYkzdvRFCYkThh1jSZIkCfcYS5IkCc8xBjvGkiRJEmDHWJIkSeCxFNgxliRJkgA7xpIkScKGMdgxliRJkgA7xpIkSQIitoztGEuSJEngwliSJEkC3EohSZIkvOAD7BhLkiRJwCDpGK98fHuocfcVz+jnTNQfymrrQ4+NLizox0xSN2Y8NRpMklHbZRteDTWuav41CY8Zj2TEjKdGiTbY6jPY8tXg5Jvv7BhLkiRJgAtjSZIkCXBhLEmSJAGDZI+xJEmSBpZ7jO0YS5IkSYAdY0mSJOE5xmDHWJIkSQLsGEuSJAn3GIMdY0mSJAmwYyxJkiRwhzF2jCVJkiTAjrEkSZLAljF2jCVJkiQAIkEQBIkMWLrxtUSGkyRJSik137k62Sn0qO397oTEGT0idfuybqWQJEmSF3zgVgpJkiQJsGMsSZIkvOAD7BhLkiRJgB1jSZIk4WltYMdYkiRJAuwYS5IkCWwZY8dYkiRJAuLsGL/yyiusX7+e7u5uZs2axbx58/orL0mSJCVQqp1jHAQB69evp6GhgREjRlBSUkJ+fv5Zz6uoqOC9996jq6uLL33pSyxatIi0tDSOHz9OVVUV//73v7nssstYtmwZl1xySa8xQ3eMu7u7+eUvf8lPfvITqqqqePHFF3nnnXfCvpwkSZIU09DQwKFDh1i7di3FxcU88cQTPT5v2bJlRKNR1qxZw7Fjx9i+fTsAmzZtYurUqaxdu5apU6eyadOmPmOGXhgfOHCAyy+/nLy8PIYNG8b111/Pzp07w76cJEmSkigSSczH+dq1axc33XQTkUiEiRMn0t7eTktLy1nPy8jIAKCrq4vOzk4iHwbZuXMnM2fOBGDmzJnntU4NvTBubm4mNzc39nlubi7Nzc1hX06SJEmKaW5u5tJLL4193ttas6Kigh/+8IdcfPHFTJ8+HYDW1lays7MByMrKorW1tc+YA34qRV1dHXV1dQBUVlZS852rBzqkJEmSLtDIBJ1VdvLkSR544IHY50VFRRQVFcX1mj/96U/54IMPWLt2LXv27OHLX/7yGV+PRCKxTnJvQneMc3JyaGpqin3e1NRETk7OWc8rKiqisrKSyspKysvLw4YbEqxP36xR36xR76xP36xR76xP36xR74Z6fS6++OLY2rCysvKMRfHmzZspKyujrKyMrKwsjh49GvvaudaaHxk+fDiFhYWxLROZmZmxrRctLS2MGTOmz9xCL4wnTJjAu+++y5EjR+js7OSll15i2rRpYV9OkiRJQ9ycOXOIRqNEo1G++tWv8sILLxAEAfv37ycjIyO2NeIjHR0dscVvV1cX9fX1jBs3DoBp06axbds2ALZt20ZhYWGf8UM3zdPT0/nBD35ARUUF3d3d3HLLLXzuc58L+3KSJElSzLXXXkt9fT1Llixh+PDhlJSUxL5WVlZGNBqlo6ODhx56iFOnThEEAZMnT2b27NkAzJs3j6qqKrZu3Ro7rq0vce0mKSgooKCg4LyfH+/+kU8769M3a9Q3a9Q769M3a9Q769M3a9Q763N+IpEIixYt6vFr0WgUOP2mulWrVvX4nNGjR7NixYoLixkEQXBhaUqSJEmfPl4JLUmSJJGA49rAq6PPR2lpKSNHjiQtLY309HQqKyuTnVLSPfroo9TX15OZmcmaNWsAQl3v+GnVU32efvppnnvuudg7b++4444L2u70aXP06FFqamp47733iEQiFBUVcfvttzuPPnSu+jiPPvbBBx9w//3309nZSVdXF9OnT2fBggUcOXKE6upq2trayM/PZ/HixQwblqCzrlLIuepTU1PD3r17YxcvlJaW8oUvfCG5ySZRd3c35eXl5OTkUF5e7vxJZcEA6+rqCn70ox8Fhw4dCk6dOhX8+Mc/Dt5+++2BDjvolJSUBK2trclOI6U0NjYGBw8eDO65557YY08++WSwcePGIAiCYOPGjcGTTz6ZrPSSrqf6PPXUU8EzzzyTxKxSS3Nzc3Dw4MEgCILgxIkTwZIlS4K3337befShc9XHefSx7u7u4OTJk0EQBMGpU6eCe++9N9i3b1+wZs2a4C9/+UsQBEGwbt26YMuWLclMM2nOVZ9HHnkk2L59e5KzSx3PPvtsUF1dHaxatSoIgsD5k8IGfCuFV0crrEmTJp3VxQtzveOnVU/10Zmys7PJz88HTp+bOW7cOJqbm51HHzpXffSxSCTCyJEjgdNHQXV1dRGJRGhsbIzdrnXzzTcP2Tl0rvroY01NTdTX1zNr1iwAgiBw/qSwAe/b93R19BtvvDHQYQeliooKAGbPnu07Vs8hzPWOQ82WLVt44YUXyM/P5/vf/76L5w8dOXKEt956iy9+8YvOox58sj6vv/668+gTuru7Wb58OYcOHeK2224jLy+PjIwM0tPTgdMXXg3lPyj+sz5XXXUVf/7zn/ntb3/Lhg0bmDJlCnfddRcXXXRRslNNitraWr73ve9x8uRJANra2pw/KcwNLSli5cqV5OTk0NrayoMPPsgVV1zBpEmTkp1WSjvf6x2Hkm984xvMnz8fgKeeeopf//rXZ5z7OFR1dHSwZs0aFi5cGNvz+BHn0dn1cR6dKS0tjWg0Snt7O6tXr+Zf//pXslNKKf9Zn3/84x/ceeedZGVl0dnZybp163jmmWdic2ooefnll8nMzCQ/P5/GxsZkp6PzMOBbKc736uih7qOaZGZmUlhYyIEDB5KcUWoKc73jUJKVlUVaWhppaWnMmjWLgwcPJjulpOvs7GTNmjV8/etf52tf+xrgPPqknurjPOrZqFGjmDx5Mvv37+fEiRN0dXUBp/9n1N9rH9fnlVdeITs7m0gkwkUXXcQtt9wyZH+n7du3j127dlFaWkp1dTV79uyhtrbW+ZPCBnxh7NXRfevo6Ij9F0tHRwe7d+9m/PjxSc4qNYW53nEo+WixB/DXv/51yN9GGQQBjz32GOPGjeNb3/pW7HHn0Wnnqo/z6GPHjh2jvb0dOH0Cw+7duxk3bhyTJ09mx44dADz//PND9vfauerz0RwKgoCdO3cO2Tl055138thjj1FTU8PSpUuZMmUKS5Yscf6ksIRc8FFfX8+vfvWr2NXR3/3udwc65KBy+PBhVq9eDZx+88KNN95ojYDq6mr27t1LW1sbmZmZLFiwgMLCQqqqqjh69OiQPmYLeq5PY2Mjf/vb34hEIlx22WUUFxefda/8UPL666+zYsUKxo8fH9succcdd3DVVVc5jzh3fV588UXn0Yf+/ve/U1NTQ3d3N0EQMGPGDObPn8/hw4eprq7m+PHjXHnllSxevHhI7qE9V30eeOABjh07BsDnP/95iouLY2/SG6oaGxt59tlnKS8vd/6kMG++kyRJkvDmO0mSJAlwYSxJkiQBLowlSZIkwIWxJEmSBLgwliRJkgAXxpIkSRLgwliSJEkCXBhLkiRJAPw/s7Uc8HBd45gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 936x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAJqCAYAAAAotoYgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzdeXRV5dn///c5SSCEhOEkBBAQCAIKMscGcADkVGlRy1KXLSqVqlXEobRfURzRWvqkVYTKsLQOqBUrtlXbYquuCGgropHBAZ5HRMHWigaSMARQSHL//uDHKZEhCZIQ9f1yZa3knL33fZ+dQ7zyybXvHQkhBCRJkqRvuOiRnoAkSZLUEFgYS5IkSVgYS5IkSYCFsSRJkgRYGEuSJEmAhbEkSZIEWBhLkiRJgIWxJH2tzJ8/n7POOou2bdvSqFEjsrKy6Nu3LxMmTGD16tX7bJ+fn08kEiESidC4cWNKSkqOwKwlqWFIPtITkCR9eSEELrvsMh544AEAkpKS6NixI6mpqXzwwQe8+eabHHPMMXTr1q3Kfg8//HDi8507d/L4449z1VVX1efUJanBMDGWpK+IEAL33nsvAwYMIC0tjfT0dAYMGMDixYt58MEHE0XxkCFDWLt2Le+//z4rV65k8+bN/OMf/2DQoEFVjrd48WLeffddAHJzcwGYM2dO/b4oSWpALIwl6Svimmuu4YorrmDZsmWkpqbSuXNnVq1axerVq/ntb38LQKNGjXj88cfp0KFDYr9IJMJJJ53EgAEDqhxvTxHco0cP7rrrLgCWLVvGW2+9VU+vSJIaFgtjSfoKWLduHbNmzQLgrLPO4uOPP+btt9/m448/ZsiQIaxcuRKAbt26cdRRRwHwxBNPJPqHI5FIIhUG2L59O08++SQAP/zhDznllFPo2LEjYGos6ZvLwliSvgIKCwsJIQDws5/9jNTUVABatmxJ586dE9tFIpHE51lZWeTl5ZGRkbHP8Z566im2bNlCNBrlwgsvJBKJcMEFFwAwd+5cdu3aVZcvR5IaJAtjSfoa6NmzJwCrV6+mqKgIgHg8zpIlS+jfv/8+2+9JhUMI9OzZkxYtWjB9+nQANmzYwLPPPltPM5ekhsPCWJK+Ak444YREGjx9+nQ+//xzADZv3sy6deu4/PLLAfj8888ZM2ZMojjen3Xr1rFw4UJgd2G8efNmNm/ezPbt2xPb2E4h6ZvIwliSvgI6derElVdeCcAzzzzDUUcdRe/evWnbti2LFi3i4osv5tJLLwXghRdeoH379hx33HH06NGDl19+ucqxHnnkEUIIRKNRPv30U0IIiY9f/OIXAPztb3/j008/rd8XKUlHmIWxJH1F3HPPPcyePZt+/fqxfft2PvjgA4477ji6du1KJBLh/vvv5+mnn+Y73/kOzZs3Z82aNZSUlNC/f3+uu+467r//fkIIPPLIIwCcdNJJZGdnVxnj7LPPBqC8vJzHHnus3l+jJB1JkbDnag5JkiTpG8zEWJIkScLCWJIkSQIsjCVJkiTAwliSJEkCLIwlHSYPP/xw4tbD69atO9LT+cobO3YskUiETp061duYS5cu5cQTT6Rp06ZEIhFGjRr1pY7XqVMnIpEIY8eOPTwT/IIjcY4Ot3Xr1iX+3Tz88MOH5ZiLFi1KHHPRokWH5ZjSN4WFsdRAff7550ybNo1BgwbRvHlzmjRpQteuXbnkkkv43//93yM9vX20atWKvLw88vLyaNy48ZGeTq3sXdRHIhEWL15c5fkf//jHVZ6vrUMpELt06UJeXh79+vWr9XiH6pJLLmHx4sWEEDjhhBPo3r37frfbu/D64sfeRWq/fv3Iy8ujS5cu9fQK9m/P+d/zkZKSQseOHRk9ejTvvPPOEZ3bl3GgXwyaNWuW+LfYrFmzIzM56Ssq+UhPQNK+SktLGT58OMuXLwcgPT2drl278u9//5uHHnqIXr16cdxxxx3hWf7Xzp07GTlyJCNHjjzSUzks7rnnHgYPHgxASUkJc+fOrbexQwhUVFRwyy23cMstt9TbuAArV64EYMKECfzyl7+s0T45OTm0atUq8XXbtm0Tnz/99NOHd4JfUkZGBj169GDbtm2sXLmSJ554gvnz5/POO+/QsWPHIz29w6Z///4sWbLkSE9D+koyMZYaoKuuuipRFF977bWUlJTw1ltvUVpayquvvkqfPn0S2/7zn//k9NNPp3nz5jRu3Jju3bszZcoUdu3aBcC4ceOIRCIcf/zxVcY444wziEQifPvb3wbgd7/7Hd/61rfIysoiJSWFli1bcvrpp/P6668n9tk7Kbz//vsZNmwYqampzJ49e7+tFM899xwnn3wy2dnZNGrUiGbNmnHyySfz97//PXHMvf+UPHXqVC688EIyMjJo165d4i5se2zdupXrrruOY445hsaNGxOLxYjH45SUlAC7i8pZs2bRp08fmjRpQvPmzTnrrLNYtWpVjc99SkoKf/rTn/j4448BuP/++9mxYwcpKSn7bFvd69vz2j788ENg9x3n9k6db7vttsTXf//73+nRowcpKSm88847+6SBf/nLXxLbFhQUAPDSSy8RjUaJRCL84Q9/OOBr2rFjBzfddBPHHHMMjRo1IhaLceaZZ7Js2bIq39fy8nIA/ud//odIJMJtt91W7fm65ZZbWLJkSeJj72L4i0l5bb7XY8aMoWvXrmRkZNCoUSM6duzINddcw5YtW6qd04HsKRjffvttZsyYAUBZWVmVOc+ZM4cBAwbQpEkTmjZtysCBA6uc2y++htGjR5Oenk52dja33347e24NcKAWiZr89eDDDz/kO9/5Dh06dKBJkyY0adKE448/nunTpyeO36lTp8SNWj788MMqrRMHaqWo7mfF3vP74Q9/yOTJk2nbti0tW7bkwgsvZOvWrYd87qWvjCCpQdm0aVNITk4OQOjTp0+orKw84LYLFy5MbNuiRYvQrVu3AAQg/OAHPwghhPDqq68mHnv77bdDCCEUFxeHlJSUAITHHnsshBDClVdeGVJTU0O3bt1Cnz59QuPGjQMQMjIywvr16xPj7TlWo0aNQlZWVjjuuOPCb37zmzBnzpzEc2vXrg0hhHDnnXeGlJSUkJOTE/r16xfS09MDEJKTk8OKFStCCCGsXbs2sV9KSkpo27ZtyMrKSjz2wgsvhBBC+Pzzz0P//v0Tj3fo0CF069YtRKPRxHhXXXVV4vnjjjsutG7dOgChefPm4f333z/gedx77qNHjw5AuPnmm0N5eXk4+uijQ1JSUjjvvPMS2+xR3ev7+OOPQ15eXmjUqFEAQlZWVsjLywt5eXkhhBAmT55c5Xx27tw5dOjQISxfvjxcdNFFAQgdO3ZMjHf55ZcHIHTq1CmsX78+dO7cOQBh7NixB31PxePxxDjHHntsyMjICEBo0qRJWL58eVi6dGnIy8tLbNOuXbuQl5cX7r///gO+7/ZsO2fOnAOO27FjxwCEiy66qFbf6xBCaNq0acjMzAx9+vQJOTk5iW3OPffcxDb7O0cHm8eQIUMSj82cOTNxzGnTpoUQQrjjjjuqvL/atm2b+Pree+/d5zU0btw4tGvXrsp2s2bN2me7vc/Rwc7Jnu0KCwsDENq3bx/69esXsrOzE9vMnDkzhBDCqFGjEueuUaNGiffV0qVLq3x/Fi5cmPieVfezYu/5paSkhIyMjMR7DAg33njjQc+z9HVgYSw1MK+//nrif0RXXXXVQbc95ZRTEv8TLykpCSGEcP311yf2f+utt0IIIRx77LEBCDfddFMIIYTf/va3AQjNmjUL27dvDyGE8O6774Zt27Yljv3ee+8ljvPAAw+EEKoWREOHDg07duwIIYRQXl6+38J47dq1obS0NHHMkpKSRFF28803J7bZs9+gQYPC559/HjZs2JAo3K+//voQQgiPPPJIYrtf/vKXiWOuXr06bNmyJaxduzZEIpEAhPvuuy+EEMJnn30WevbsGYBw6aWXHvA87j33hQsXhtTU1JCdnR0ef/zxAIRzzjkn/L//9//2KYxr8vpC2LcY2mPvwnjSpEmJx8vLy/db9G3bti107949AImiv0uXLmHr1q0HfG0LFixIjHHnnXeGEEJYv359aNGiRQDC2Wefndh2z3aTJ08+4PFCqPo++OLHT37ykwO+7pp+r0MIYfny5VXGvOmmmxK/dOx539W2MM7IyAh5eXmhV69eifdKenp6WLduXSgrKwtNmjQJQDjrrLNCRUVF2LlzZzj55JMDEFq1ahUqKiqqvIahQ4eGXbt2hc8//zx861vfCkA4+uij93mttS2MS0tLE/+GQgihoqIi8W/9pJNOSjx+oNe/v8K4pj8r9j5XH330UaioqAgDBgwIQOIXOunrzFYKqYEJe92lvboLvQoLCwEYMWIELVu2BOD8889PPP/GG28AcNFFFwEwb948AJ544gkAvv/979OkSRMANm3axPe+9z1isRjRaJSuXbsmjrOnrWBvl19+OampqQAkJSXtd347d+5k7NixZGdnk5SURCwWS/w5dn/HPO+882jUqBFZWVlkZ2cD8OmnnwLw2muvAbtbHa699trEPnv+3F5YWJg4d5dffjmRSITU1NRE32xNey6zsrI4//zzKSoqYty4cQBcffXVh+X1HcxPfvKTxOcHOp9paWnMnTuXpKQkPv30U6LRKHPnziU9Pf2Ax93zHoH/vjfatGnDsGHDgP++Rw5VTk5O4kKvvLy8Gq8QcbDvNcCLL77I8ccfT5MmTYhEIkyZMgWA8vJyNmzYcEhz3bp1K6+99hqrVq2iffv2fP/73+fVV1+lY8eOrFy5kh07dgC7/11Eo1FSUlI499xzAdiwYUOiJWaPs88+m+TkZBo1apRYweNf//rXl245SElJ4de//jUdO3YkJSWFpKQkXn75ZaD276s9avqzYo9TTz2Vdu3aEY1GOfbYY4Gq3x/p68qL76QGpnv37iQnJ1NeXs4///lPQgiHtBLC3saMGcNNN93EmjVrmD9/Pi+99BIAP/rRj4DdfZann346mzZtIjU1lX79+pGSkpIoRisqKvY5ZuvWrasdd+TIkaxZs4bk5GR69epFamoqy5cvZ+fOnfs9ZosWLRKfJyfv/vG09y8Ke1R3Pvr06ZMo2vc46qijqp3vHtdccw0PPfQQW7ZsoU+fPgwZMoS//vWv+2xX29d3MDU5nwAfffRR4tiVlZWsXbuWvLy8Wo11ON1yyy2HtBzbwb7Xc+fOTfzy07ZtWzp06MDGjRv54IMPgP2/H2tiyJAh9bZ82d7v0b3nu3nz5mr3nTBhAg888ACw+xe/WCzG+++/z8aNGw/5tddWTf8tSl83JsZSA9O8eXPOO+88AJYvX86NN96YuCgK4OWXX2bBggUAnHDCCcDui8BKS0sBePzxxxPb5ubmAtCuXbvERXY//vGPqaiooHv37gwaNAiAd999l02bNgHw0EMPsXTpUqZPn37QeVZXnBYXF7NmzRoAfv7zn7NixQqeeOKJQy7y9xR/u3bt4u677048/v7771NWVkZubm7i2KNHj65yQdisWbOqpMzV2VMMw4HT4tq8vrS0NAC2bdt2wDFrcl4++eQTLr30UoDEMm5XXHEF//73vw+4z573CPz3vfHJJ5+wcOFC4L/vkYZkT7qfkZHB2rVree211zjttNPqdMyePXsm/noyb948Kisr2bVrF3/84x+B3csRfnHliqeffpry8nJ27tzJn//8ZwCOPvpoMjIyEik47H6Pwu6LHPf8OzuYPa//tNNOY/Xq1SxatIh27drts92e99X27durLVpr+rNC+qazMJYaoBkzZiQKn/z8fGKxGL179yYzM5MhQ4bw1ltvAXD77beTnJzMv//9b3JycujevTu/+tWvAPjBD35Ar169Esfck+p98sknVb6G3X8Ob9q0KbB7LdvevXt/6Zs7xGIx2rdvD8DkyZPp1asX/fv3T6RPtfWDH/yA/v37A3D99dfTsWNHjj32WLp3787GjRvp3LlzovVh0qRJdOzYkT59+hCLxcjNzeWFF16o1Xh/+9vf2LBhwwHT0Nq8vj1/in7qqacYMGBAIqmvjRACY8eOZePGjZxwwgm8+uqr5OXlsWnTJi666CIqKyv3u9+wYcOIx+MATJw4keOOO47u3bsn/jpQ30vC1UTv3r2B3a0POTk55OTk8OSTT9bpmE2bNuXGG28Edq8A0qlTJzp16sQ//vEPAO644w6i0ar/y3z99dfp3LkznTt3Tvx15brrrgOgSZMmiV8877rrLoYNG8aZZ565zzH2Z8/rf+GFF+jevTsdOnTY7y8/e95XGzZs4Nhjj2XgwIGJdpAvqs3PCumbzMJYaoBisRiLFy9m6tSpfOtb3wJg9erVNGvWjIsuuiiRng0dOpSFCxdy2mmnJf6s3q1bN+644w4effTRKsccNWpU4s+j0WiUMWPGJJ5r2bIlf/jDH+jRoweVlZU0atRov60DtRGJRPjTn/7ECSecQFJSEhUVFcydO5esrKxDOl6jRo1YtGgREydOJCcnh/Xr11NUVMSQIUMSNzGYOXMm99xzD3369KGoqIi1a9fStm1brrjiCs4555xajZeWlkZWVtYB+31r8/p+8YtfMHDgQBo1asSyZct4++23a/36Z8yYwfPPP0/jxo155JFHaNy4MY8++ihpaWksXLiQqVOnHnDfv/zlL9x4443k5OTw/vvvE41GOeOMM3jllVfo27dvredS1y655BJ+9rOfkZWVxdatWxk6dCg///nP63zcm2++mYceeoj+/fuzYcMGSktLycvLY968eVx++eX7bD9lyhSGDh3Kli1byMrK4pZbbmH8+PGJ5x9++GFOPvlkkpOT+c9//sPMmTPp0KFDtfO4++67+d73vkd6ejpbt25l4sSJnHnmmftsd/HFF3POOefQvHlzVq9ezWuvvXbAVova/KyQvskiwaYhSZJqZN26dXTu3BnYveZxXd3uWtKRYWIsSZIkYWEsSZIkAbZSSJIkSYCJsSRJkgRYGEuSJEmAhbEkSZIEWBhLkiRJgIWxJEmSBFgYS5IkSYCFsSRJkgRYGEuSJEkAJNd0w8rKSiZNmkQsFmPSpEkUFRUxffp0tm7dSk5ODldffTXJyTU+nCRJkrSPFStWMGfOHCorKxk+fDijRo2q8vwLL7zA888/TzQaJTU1lcsvv5z27dsD8PTTT7NgwQKi0Sg/+tGP6Nu3b63GrnFi/Le//Y127dolvn7ssccYOXIkM2bMoGnTpixYsKBWA0uSJEl7q6ys5MEHH+TGG29k2rRpvPLKK3z00UdVtjnppJOYOnUqd955J9/73vd45JFHAPjoo49YvHgxd999NzfddBMPPvgglZWVtRq/RoVxcXExy5YtY/jw4QCEEFi5ciUDBw4EYOjQoRQWFtZqYEmSJGlva9asoU2bNrRu3Zrk5GQGDx68T42ZlpaW+Pyzzz4jEokAUFhYyODBg0lJSSE7O5s2bdqwZs2aWo1fo96Hhx9+mAsvvJAdO3YAsHXrVtLS0khKSgIgFotRUlJSq4ElSZKkvZWUlJCZmZn4OjMzk/fee2+f7Z577jmeffZZysvLufXWWxP7du3aNbHNodSn1RbGS5cupXnz5uTk5LBy5cpaHRygoKCAgoICAPLz82u9vyRJkupW8boPyezUsV7G2rFjB7fffnvi63g8Tjwer9UxRowYwYgRI/jnP//Jn/70J6666qrDMrdqC+N3332XN954g+XLl7Nz50527NjBww8/zPbt26moqCApKYmSkhJisdh+9//iiy0fP/KwTFySJOmrKHn2s0d6CvvI7NSRcZFm9TLWvWHLAcPSWCxGcXFx4uvi4uID1pgAgwcP5v7779/vvgerTw+k2h7j888/n3vvvZdZs2YxYcIEjj/+eK655hp69uzJkiVLAFi0aBG5ubm1GliSJEnaW5cuXVi/fj1FRUWUl5ezePHifWrM9evXJz5ftmwZbdu2BSA3N5fFixeza9cuioqKWL9+Pcccc0ytxj/k9dUuuOACpk+fzhNPPEHnzp059dRTD/VQkiRJOsIaws0tkpKSuPjii5kyZQqVlZUMGzaMDh06MG/ePLp06UJubi7PPfccb7/9NklJSaSnp3PllVcC0KFDBwYNGsTPfvYzotEol1xyCdFo7V5VJIQQ6uKFHYitFJIk6ZusIbZSAIyvp1aK2WFLvYxzKLwjhyRJkoj+/8uefZM1hNRckiRJOuJMjCVJkmRaiudAkiRJAkyMJUmSBERtMTYxliRJksDEWJIkSZiWgudAkiRJAkyMJUmShOsYg4mxJEmSBFgYS5IkSYCtFJIkScK0FDwHkiRJEmBiLEmSJLzBB5gYS5IkSYCJsSRJkjAtBc+BJEmSBJgYS5IkCYh4gw8TY0mSJAlMjCVJkoRpKXgOJEmSJMDEWJIkSbiOMZgYS5IkSYCJsSRJkjAtBc+BJEmSBJgYS5IkCYi6jrGJsSRJkgQWxpIkSRJgK4UkSZIwLQXPgSRJkgSYGEuSJAlv8AEmxpIkSRJgYixJkiRMS8FzIEmSJAEmxpIkSQKi2GRsYixJkiRhYixJkiRclQJMjCVJkiTAxFiSJEmYloLnQJIkSQJMjCVJkoQ9xmBiLEmSJAEmxpIkScJ1jMHEWJIkSQIsjCVJkiTAVgpJkiThxXdgYixJkiQBJsaSJEnCtBQ8B5IkSRJgYixJkiTsMQYTY0mSJAkwMZYkSRLe4ANMjCVJkiTAxFiSJEnYYwwmxpIkSRJgYixJkiSwwxgTY0mSJAkwMZYkSRL2GIOJsSRJkgTUIDHeuXMnkydPpry8nIqKCgYOHMh5553HrFmzWLVqFWlpaQBceeWVdOrUqa7nK0mSpDrgOsY1KIxTUlKYPHkyqamplJeXc+utt9K3b18AxowZw8CBA+t8kpIkSVJdq7aVIhKJkJqaCkBFRQUVFRVEIv5GIUmSpK+XGvUYV1ZWMnHiRC699FJ69epF165dAfj973/Ptddey8MPP8yuXbvqdKKSJEmqO9FI/Xw0ZDValSIajXLnnXeybds27rrrLv71r39x/vnn06JFC8rLy7nvvvv485//zLnnnrvPvgUFBRQUFACQn59/eGcvSZIkHSa1Wq6tadOm9OzZkxUrVnDWWWcBu3uQhw0bxl//+tf97hOPx4nH419+ppIkSaozLlVWg3OwZcsWtm3bBuxeoeKtt96iXbt2lJaWAhBCoLCwkA4dOtTtTCVJkqQ6VG1iXFpayqxZs6isrCSEwKBBgxgwYAC33347W7ZsAaBjx45cdtlldT5ZSZIk1Y0G3v5bLyIhhFCfA5aPH1mfw0mSJDUoybOfPdJT2K/ft8iul3FGbyqql3EOhbeEliRJElGX47XPWpIkSQITY0mSJGGPMZgYS5IkSYCJsSRJkjAxBhNjSZIkCTAxliRJEibGYGIsSZIkASbGkiRJAiKuY2xiLEmSJIGFsSRJkgTYSiFJkiS8+A5MjCVJkiTAxFiSJEmYloKFsSRJkhqQFStWMGfOHCorKxk+fDijRo2q8vz8+fN58cUXSUpKolmzZlxxxRW0atUKgEWLFvHUU08BcPbZZzN06NBajW1hLEmSJBrCam2VlZU8+OCD3HzzzWRmZnLDDTeQm5tL+/btE9t06tSJ/Px8GjduzAsvvMBjjz3GT3/6U8rKyvjjH/9Ifn4+AJMmTSI3N5f09PQaj29qLkmSpAZhzZo1tGnThtatW5OcnMzgwYMpLCysss3xxx9P48aNAejatSslJSXA7qS5d+/epKenk56eTu/evVmxYkWtxrcwliRJEpF6+u9gSkpKyMzMTHydmZmZKHz3Z8GCBfTt23e/+8ZisYPuuz+2UkiSJKleTZo0KfF5PB4nHo/X+hgvv/wyH3zwAbfddtthm5eFsSRJkup1HeM9fcBfFIvFKC4uTnxdXFxMLBbbZ7u33nqLp59+mttuu42UlJTEvqtWrUpsU1JSQo8ePWo1L1spJEmS1CB06dKF9evXU1RURHl5OYsXLyY3N7fKNmvXruX+++/nuuuuo3nz5onH+/bty5tvvklZWRllZWW8+eabiTaLmjIxliRJUoO4811SUhIXX3wxU6ZMobKykmHDhtGhQwfmzZtHly5dyM3N5bHHHuOzzz7j7rvvBiArK4vrr7+e9PR0zjnnHG644QYAzj333FqtSAEQCSGEw/6qDqJ8/Mj6HE6SJKlBSZ797JGewn7Nz2xbL+OcUby+XsY5FCbGkiRJItoQIuMjzB5jSZIkCRNjSZIkQbVrDH8TmBhLkiRJmBhLkiSJhrEqxZFmYixJkiRhYSxJkiQBtlJIkiQJiNhLYWIsSZIkgYmxJEmS8OI7MDGWJEmSABNjSZIkAVEzYxNjSZIkCUyMJUmShD3GYGIsSZIkASbGkiRJwnWMwcRYkiRJAkyMJUmShD3GYGIsSZIkASbGkiRJAiJmxibGkiRJEpgYS5IkCYgaGJsYS5IkSWBhLEmSJAG2UkiSJAmXawMTY0mSJAkwMZYkSRImxmBiLEmSJAEmxpIkScIbfICJsSRJkgSYGEuSJAmIGBibGEuSJElgYixJkiRMS8FzIEmSJAEmxpIkScJ1jMHEWJIkSQJqkBjv3LmTyZMnU15eTkVFBQMHDuS8886jqKiI6dOns3XrVnJycrj66qtJTjaAliRJ+iqKuCxF9YVxSkoKkydPJjU1lfLycm699Vb69u3L/PnzGTlyJCeeeCK//e1vWbBgAaeddlp9zFmSJEk67KptpYhEIqSmpgJQUVFBRUUFkUiElStXMnDgQACGDh1KYWFh3c5UkiRJdSZSTx8NWY16HyorK7n++uv55JNPOP3002ndujVpaWkkJSUBEIvFKCkpqdOJSpIkSXWpRoVxNBrlzjvvZNu2bdx11118/PHHNR6goKCAgoICAPLz8w9tlpIkSVIdq9XVck2bNqVnz56sXr2a7du3U1FRQVJSEiUlJcRisf3uE4/Hicfjh2WykiRJqhsNvc2hPlTbY7xlyxa2bdsG7F6h4q233qJdu3b07NmTJUuWALBo0SJyc3PrdqaSJElSHao2MS4tLWXWrFlUVlYSQmDQoEEMGDCA9u3bM336dJ544kZYuoAAACAASURBVAk6d+7MqaeeWh/zlSRJUh1wuTaIhBBCfQ5YPn5kfQ4nSZLUoCTPfvZIT2G/lh7VsV7GGfDxh/UyzqHwjhySJEkiamDsLaElSZIkMDGWJEkSEDEyNjGWJEmSwMRYkiRJgItSmBhLkiRJgImxJEmSMDEGE2NJkiQJMDGWJEkS3vkOTIwlSZIkwMRYkiRJ2GMMJsaSJEkSYGEsSZIkAbZSSJIkCS++AxNjSZIkCTAxliRJEl58BybGkiRJEmBiLEmSJCBqZGxiLEmSJIGJsSRJkrDHGEyMJUmSJMDEWJIkSbiOMZgYS5IkSYCJsSRJkoCIcamJsSRJkgQmxpIkScIeYzAxliRJkgATY0mSJOE6xmBiLEmSJAEWxpIkSRJgK4UkSZLw4jswMZYkSZIAE2NJkiThxXdgYixJkiQBJsaSJEkCokbGJsaSJEkSmBhLkiQJe4zBwliSJEkNyIoVK5gzZw6VlZUMHz6cUaNGVXl+1apVPPLII3z44YdMmDCBgQMHJp5btGgRTz31FABnn302Q4cOrdXYFsaSJElqEOsYV1ZW8uCDD3LzzTeTmZnJDTfcQG5uLu3bt09sk5WVxfjx4/nrX/9aZd+ysjL++Mc/kp+fD8CkSZPIzc0lPT29xuPbYyxJkqQGYc2aNbRp04bWrVuTnJzM4MGDKSwsrLJNdnY2HTt23KeQX7FiBb179yY9PZ309HR69+7NihUrajW+ibEkSZLqtcd40qRJic/j8TjxeByAkpISMjMzE89lZmby3nvv1eiYX9w3FotRUlJSq3lZGEuSJKle7Wl3aGhspZAkSRKRSP18HEwsFqO4uDjxdXFxMbFYrEbz/+K+JSUlNd53DwtjSZIkNQhdunRh/fr1FBUVUV5ezuLFi8nNza3Rvn379uXNN9+krKyMsrIy3nzzTfr27Vur8W2lkCRJEpHokV+VIikpiYsvvpgpU6ZQWVnJsGHD6NChA/PmzaNLly7k5uayZs0a7rrrLrZt28bSpUt58sknufvuu0lPT+ecc87hhhtuAODcc8+t1YoUAJEQQqiLF3Yg5eNH1udwkiRJDUry7GeP9BT26+MBx9XLOEct/d96GedQ2EohSZIkYSuFJEmS8JbQYGIsSZIkASbGkiRJAqJGxibGkiRJEpgYS5IkCXuMwcRYkiRJAkyMJUmSBESMjE2MJUmSJDAxliRJEvYYg4mxJEmSBJgYS5IkCXuMwcRYkiRJAmqQGG/cuJFZs2axadMmIpEI8Xic7373uzz55JO8+OKLNGvWDIDRo0fTv3//Op+wJEmSDj8D4xoUxklJSYwZM4acnBx27NjBpEmT6N27NwAjR47krLPOqvNJSpIkSXWt2sK4ZcuWtGzZEoAmTZrQrl07SkpK6nxikiRJqj/2GNeyx7ioqIi1a9dyzDHHAPD8889z7bXXMnv2bMrKyupkgpIkSVJ9qPGqFJ999hlTp05l7NixpKWlcdppp3HuuecCMG/ePB599FHGjx+/z34FBQUUFBQAkJ+ff5imLUmSJB1eNSqMy8vLmTp1KieffDJ5eXkAtGjRIvH88OHD+dWvfrXffePxOPF4/DBMVZIkSXUl4lpl1bdShBC49957adeuHWeccUbi8dLS0sTnr7/+Oh06dKibGUqSJEn1oNrE+N133+Xll1/m6KOPZuLEicDupdleeeUV1q1bRyQSoVWrVlx22WV1PllJkiTVDS++q0FhfOyxx/Lkk0/u87hrFkuSJOnrxFtCS5IkCaImxrZZS5IkSZgYS5IkCbwnNCbGkiRJEmBiLEmSJFyVAkyMJUmSJMDEWJIkSeCqFJgYS5IkSYCJsSRJksBVKTAxliRJkgATY0mSJAERe4xNjCVJkiSwMJYkSZIAWykkSZIEXnyHibEkSZIEmBhLkiQJL74DE2NJkiQJMDGWJEkS2GOMibEkSZIEmBhLkiQJwB5jE2NJkiQJTIwlSZIEROwxNjGWJEmSwMRYkiRJYI8xJsaSJEkSYGIsSZIkcB1jTIwlSZIkwMRYkiRJQMS41MRYkiRJAgtjSZIkCbCVQpIkSeDFd5gYS5IkSYCJsSRJkoCIN/gwMZYkSZLAxFiSJElgjzEmxpIkSRJgYixJkiQAe4xNjCVJkiQwMZYkSRIQscfYxFiSJEkCE2NJkiSBPcaYGEuSJEmAibEkSZLAdYwxMZYkSZIAE2NJkiThqhRgYixJkiQBFsaSJEkSYCuFJEmSwOXaMDGWJEmSABNjSZIk4cV3YGIsSZIkASbGkiRJAnuMMTGWJEmSABNjSZIkgbeExsRYkiRJAkyMJUmSBETsMTYxliRJksDEWJIkSWCPMSbGkiRJElCDxHjjxo3MmjWLTZs2EYlEiMfjfPe736WsrIxp06axYcMGWrVqxU9/+lPS09PrY86SJEk63BpIj/GKFSuYM2cOlZWVDB8+nFGjRlV5fteuXcycOZMPPviAjIwMJkyYQHZ2NgBPP/00CxYsIBqN8qMf/Yi+ffvWauxqE+OkpCTGjBnDtGnTmDJlCs8//zwfffQRzzzzDL169eKee+6hV69ePPPMM7UaWJIkSdpbZWUlDz74IDfeeCPTpk3jlVde4aOPPqqyzYIFC2jatCkzZsxg5MiRzJ07F4CPPvqIxYsXc/fdd3PTTTfx4IMPUllZWavxqy2MW7ZsSU5ODgBNmjShXbt2lJSUUFhYyJAhQwAYMmQIhYWFtRpYkiRJDUckEqmXj4NZs2YNbdq0oXXr1iQnJzN48OB9asw33niDoUOHAjBw4EDeeecdQggUFhYyePBgUlJSyM7Opk2bNqxZs6ZW56BWPcZFRUWsXbuWY445hs2bN9OyZUsAWrRowebNm2s1sCRJkrS3kpISMjMzE19nZmZSUlJywG2SkpJIS0tj69at++wbi8X22bc6NV6V4rPPPmPq1KmMHTuWtLS0Ks8d7DeAgoICCgoKAMjPz6/V5CRJklRP6rHHeNKkSYnP4/E48Xi83sY+mBoVxuXl5UydOpWTTz6ZvLw8AJo3b05paSktW7aktLSUZs2a7XffhvRiJUmSdOQdKCyNxWIUFxcnvi4uLiYWi+13m8zMTCoqKti+fTsZGRn77FtSUrLPvtWptpUihMC9995Lu3btOOOMMxKP5+bm8tJLLwHw0ksvccIJJ9RqYEmSJGlvXbp0Yf369RQVFVFeXs7ixYvJzc2tss2AAQNYtGgRAEuWLKFnz55EIhFyc3NZvHgxu3btoqioiPXr13PMMcfUavxICCEcbIP/+7//49Zbb+Xoo49OtEuMHj2arl27Mm3aNDZu3Fir5drKx4+s1QQlSZK+TpJnP3ukp7Bf5VefWS/jJM/460GfX7ZsGY888giVlZUMGzaMs88+m3nz5tGlSxdyc3PZuXMnM2fOZO3ataSnpzNhwgRat24NwFNPPcXChQuJRqOMHTuWfv361Wpu1RbGh5uFsSRJ+iazMD54YXwkeUtoSZIkeUtovCW0JEmSBJgYS5IkCUyMMTGWJEmSABNjSZIkAUTNSz0DkiRJEibGkiRJAnuMMTGWJEmSABNjSZIkgYkxJsaSJEkSYGIsSZIkMDHGxFiSJEkCTIwlSZIErmOMibEkSZIEWBhLkiRJgK0UkiRJAi++w8RYkiRJAkyMJUmSBCbGmBhLkiRJgImxJEmSwMQYE2NJkiQJMDGWJEkSeIMPTIwlSZIkwMRYkiRJYI8xJsaSJEkSYGIsSZIkMDHGxFiSJEkCTIwlSZIEJsaYGEuSJEmAibEkSZKAiOsYmxhLkiRJYGEsSZIkAbZSSJIkCbz4DhNjSZIkCTAxliRJEpgYY2IsSZIkASbGkiRJAhNjTIwlSZIkwMRYkiRJAN7gw8RYkiRJAhNjSZIkgT3GmBhLkiRJgImxJEmSwMQYE2NJkiQJMDGWJEkSmBhjYixJkiQBJsaSJEkC1zHGxFiSJEkCLIwlSZIkwFYKSZIkgRffYWIsSZIkASbGkiRJAhNjTIwlSZIkwMRYkiRJ4HJtmBhLkiRJgImxJEmSwB5jTIwlSZIkwMRYkiRJYGKMibEkSZIE1CAxnj17NsuWLaN58+ZMnToVgCeffJIXX3yRZs2aATB69Gj69+9ftzOVJElS3TExrr4wHjp0KCNGjGDWrFlVHh85ciRnnXVWnU1MkiRJqk/VFsY9evSgqKioPuYiSZKkI8V1jA/94rvnn3+el19+mZycHH74wx+Snp5+OOclSZIk1atDKoxPO+00zj33XADmzZvHo48+yvjx4/e7bUFBAQUFBQDk5+cf4jQlSZJUp+wxPrTCuEWLFonPhw8fzq9+9asDbhuPx4nH44cyjCRJklRvDqmZpLS0NPH566+/TocOHQ7bhCRJkqQjodrEePr06axatYqtW7cybtw4zjvvPFauXMm6deuIRCK0atWKyy67rD7mKkmSpLpiK0X1hfGECRP2eezUU0+tk8lIkiRJR4q3hJYkSRJEXK7NMyBJkiRhYixJkiSAqD3GJsaSJEkSJsaSJEkCe4wxMZYkSZIAE2NJkiSB6xhjYixJkiQBJsaSJEkCiJqXegYkSZIkTIwlSZIE9hhjYixJkiQBJsaSJEkC1zHGxFiSJEkCTIwlSZLUAIUQmDNnDsuXL6dx48aMHz+enJycfbb7/e9/z8svv0xZWRm/+93vEo/v2rWLmTNn8sEHH5CRkcGECRPIzs4+6JgmxpIkSdp98V19fNTQ8uXL+eSTT7jnnnu47LLLeOCBB/a73YABA/jlL3+5z+MLFiygadOmzJgxg5EjRzJ37txqx7QwliRJUoPzxhtvcMoppxCJROjWrRvbtm2jtLR0n+26detGy5Yt97v/0KFDARg4cCDvvPMOIYSDjmkrhSRJkhrcDT5KSkrIyspKfJ2ZmUlJScl+i+AD7Z+ZmQlAUlISaWlpbN26lWbNmh1wHwtjSZIk1atJkyYlPo/H48Tj8SM4m/+yMJYkSVK93uAjPz9/v48/99xzvPjiiwB06dKFjRs3Jp4rLi4mFovVeIxYLEZxcTGZmZlUVFSwfft2MjIyDrqPhbEkSZIahBEjRjBixAgAli1bxnPPPceJJ57Ie++9R1paWo3bKGD3RXmLFi2iW7duLFmyhJ49exKppvhvWM0kkiRJOjIi0fr5qKF+/fqRnZ3NNddcw3333cell16aeG7ixImJzx977DHGjRvHzp07GTduHE8++SQAp556KmVlZVx99dXMnz+fCy64oPpTEKq7PO8wKx8/sj6HkyRJalCSZz97pKewXxW/23fJs7qQNObGehnnUNhKIUmSJIjWX49xQ2UrhSRJkoSJsSRJkqBW/b9fV54BSZIkCRNjSZIkQb2uY9xQmRhLkiRJmBhLkiQJ7DHGxFiSJEkCLIwlSZIkwFYKSZIkgTf4wMRYkiRJAkyMJUmSBC7XhomxJEmSBJgYS5IkCVyuDRNjSZIkCTAxliRJErgqBSbGkiRJEmBiLEmSJLDHGBNjSZIkCTAxliRJEriOMSbGkiRJEmBiLEmSJLDHGBNjSZIkCTAxliRJEriOMSbGkiRJEmBhLEmSJAG2UkiSJAm8+A4TY0mSJAkwMZYkSRJ4gw9MjCVJkiTAxFiSJEkAUfNSz4AkSZKEibEkSZLAHmNMjCVJkiTAxFiSJEngOsaYGEuSJElADRLj2bNns2zZMpo3b87UqVMBKCsrY9q0aWzYsIFWrVrx05/+lPT09DqfrCRJkuqIPcbVJ8ZDhw7lxhtvrPLYM888Q69evbjnnnvo1asXzzzzTJ1NUJIkSaoP1RbGPXr02CcNLiwsZMiQIQAMGTKEwsLCupmdJEmS6kc0Wj8fDdghzW7z5s20bNkSgBYtWrB58+bDOilJkiSpvn3pVSkikQiRg/SkFBQUUFBQAEB+fv6XHU6SJEl1wR7jQyuMmzdvTmlpKS1btqS0tJRmzZodcNt4PE48Hj/kCUqSJEn14ZBaKXJzc3nppZcAeOmllzjhhBMO66QkSZKk+lZtYjx9+nRWrVrF1q1bGTduHOeddx6jRo1i2rRpLFiwILFcmyRJkr7CvMEHkRBCqM8By8ePrM/hJEmSGpTk2c8e6SnsV8WCufUyTtKpF9TLOIfCW0JLkiTJi+/wltCSJEkSYGIsSZIksMcYE2NJkiQJMDGWJEkSQNQeYxNjSZIkCRNjSZIkgT3GmBhLkiRJgImxJEmSwHWMMTGWJEmSABNjSZIkgT3GmBhLkiRJgImxJEmSgIg9xibGkiRJElgYS5IkSYCtFJIkSQIvvsPEWJIkSQJMjCVJkgQmxpgYS5IkSYCJsSRJkgCiLtdmYixJkiRhYixJkiSwxxgTY0mSJAkwMZYkSRKAt4Q2MZYkSZLAxFiSJElgjzEmxpIkSRJgYixJkiSwxxgTY0mSJAkwMZYkSRLYY4yJsSRJkgSYGEuSJAkgao+xibEkSZKEhbEkSZIE2EohSZIk8OI7TIwlSZIkwMRYkiRJ0OBu8BFCYM6cOSxfvpzGjRszfvx4cnJyqmzz+eefc/fdd/Ppp58SjUYZMGAAF1xwAQC7du1i5syZfPDBB2RkZDBhwgSys7MPOqaJsSRJkhqc5cuX88knn3DPPfdw2WWX8cADD+x3uzPPPJPp06fz61//mnfffZfly5cDsGDBApo2bcqMGTMYOXIkc+fOrXZMC2NJkiTt7jGuj48aeuONNzjllFOIRCJ069aNbdu2UVpaWmWbxo0bc/zxxwOQnJxM586dKS4uTuw/dOhQAAYOHMg777xDCOGgY1oYS5IkqcEpKSkhKysr8XVmZiYlJSUH3H7btm0sXbqUXr16JfbPzMwEICkpibS0NLZu3XrQMe0xliRJUr32GE+aNCnxeTweJx6Pf6njVVRU8Jvf/IbvfOc7tG7d+pCPY2EsSZKkepWfn7/fx5977jlefPFFALp06cLGjRsTzxUXFxOLxfa733333UebNm0YOXJk4rFYLEZxcTGZmZlUVFSwfft2MjIyDjovC2NJkiQ1iHWMR4wYwYgRIwBYtmwZzz33HCeeeCLvvfceaWlptGzZcp99nnjiCbZv3864ceOqPD5gwAAWLVpEt27dWLJkCT179iRSTSp+5M+AJEmS9AX9+vUjOzuba665hvvuu49LL7008dzEiROB3SnyU089xX/+8x+uv/56Jk6cmEicTz31VMrKyrj66quZP39+Yhm3g4mE6i7PO8zKx4+sfiNJkqSvqeTZzx7pKexX5f+9Wi/jRI8dVC/jHAoTY0mSJAl7jCVJkgTV9t9+E5gYS5IkSZgYS5IkCRrEqhRHmmdAkiRJwsJYkiRJAmylkCRJEtTrLaEbKhNjSZIkCRNjSZIkgRffYWIsSZIkASbGkiRJAnuMMTGWJEmSABNjSZIkAUTNSz0DkiRJEl8yMb7yyitJTU0lGo2SlJREfn7+4ZqXJEmS6pM9xl++lWLy5Mk0a9bscMxFkiRJOmLsMZYkSZLrGHMYCuMpU6YA8O1vf5t4PP6lJyRJkiQdCV+qML7jjjuIxWJs3ryZX/ziFxx11FH06NGjyjYFBQX8f+3df2jV1R/H8eedP9L1424zMRpZrYxwGiWuLCwTZ0X0h4QIWkSE+YemZCStAkNqOLqOjdFCodDyjzACFflChkVKZjSbMpyoKf0wSpdO59RddPee7x/qNXNzdm27N+/zAQPv7uXzObw5cI+vvT/nbNiwAcAeZEmSpGxlj/GVLYyLiooAiEajlJWVsXfv3osWxuXl5SbJkiRJynppN5PE43E6OjpS/25qamL48OH/2sAkSZLUlyJ99JO90k6M29raWLJkCQCJRILx48dz7733/msDkyRJkvpS2gvjYcOGEYvF/s2xSJIkSRnjdm2SJEny4Ts8ElqSJEkCTIwlSZIEJsaYGEuSJEmAibEkSZKAbN9KrS+YGEuSJEmYGEuSJAnsMcbEWJIkSQJMjCVJkgS2GGNiLEmSJAEmxpIkSQKMjE2MJUmSJMDEWJIkSeCuFJgYS5IkSYCJsSRJksDEGBNjSZIkCXBhLEmSJAG2UkiSJAlwuzYTY0mSJAkwMZYkSRL48B0mxpIkSRJgYixJkiTAHmMTY0mSJAkwMZYkSRLYY4yJsSRJkgSYGEuSJAlMjDExliRJkgATY0mSJAHuSmFiLEmSJAEmxpIkSQIi9hibGEuSJElgYixJkiRwVwpMjCVJkiTAhbEkSZIE2EohSZIkwO3aTIwlSZIkwMRYkiRJ4MN3mBhLkiRJgImxJEmSwMQYE2NJkiQJMDGWJEkS4K4UJsaSJEkSYGIsSZIksMcYE2NJkiQJMDGWJEkS2GKMibEkSZIEmBhLkiQJMDI2MZYkSZIAE2NJkiSBu1JgYixJkiQBLowlSZIkwFYKSZIkga0UmBhLkiRJgImxJEmSALdrMzGWJEmSABNjSZIkgT3GmBhLkiRJgImxJEmSwMQYE2NJkiQJuMLEePv27SxfvpxkMsmkSZOYMmXKvzUuSZIk9ansSoxDCCxfvpxt27ZxzTXXMHv2bEpKSi76XGVlJUePHiWRSHD33Xczc+ZM8vLyOH78ODU1Nfz5558MHTqU+fPnc911113ynmknxslkkg8//JA33niDmpoaNm/ezG+//Zbu5SRJkqSUbdu2ceDAAerq6pg1axYffPBBl5+bP38+sViM6upqjh07xpYtWwBYs2YNo0ePpq6ujtGjR7NmzZoe75n2wnjv3r3cdNNNDBs2jP79+/PQQw/R0NCQ7uUkSZKUSZFI3/xcpq1bt/LII48QiUS46667OHHiBEeOHLnoc/n5+QAkEgk6OzuJnL1HQ0MDEyZMAGDChAmXtU5Ne2Hc2trKkCFDUq+HDBlCa2trupeTJEmSUlpbW7nxxhtTry+11qysrOTFF19k8ODBjBs3DoC2tjYKCwsBKCgooK2trcd79vquFBs2bGDDhg0AVFVV0f/9//X2LSVJkvRP5Uf75DYdHR0sWrQo9bq8vJzy8vIruuabb77JqVOnqKurY8eOHdxzzz0XvB+JRFJJ8qWknRgXFRVx+PDh1OvDhw9TVFR00efKy8upqqqiqqqKioqKdG+XE6xPz6xRz6zRpVmfnlmjS7M+PbNGl5br9Rk8eHBqbVhVVXXBovjzzz9nwYIFLFiwgIKCAg4dOpR6r7u15jkDBw6krKws1TIRjUZTrRdHjhzhhhtu6HFsaS+M77jjDv744w9aWlro7Ozk22+/ZezYseleTpIkSTnuiSeeIBaLEYvFuP/++9m0aRMhBPbs2UN+fn6qNeKceDyeWvwmEgkaGxspLi4GYOzYsWzcuBGAjRs3UlZW1uP9026l6NevHy+88AKVlZUkk0kmTpzILbfcku7lJEmSpJT77ruPxsZG5s2bx8CBA5k9e3bqvQULFhCLxYjH47z77rucPn2aEAKlpaVMnjwZgClTplBTU8NXX32V2q6tJ1fUYzxmzBjGjBlz2Z+/0v6Rq5316Zk16pk1ujTr0zNrdGnWp2fW6NKsz+WJRCLMnDmzy/disRhw5qG6xYsXd/mZ66+/noULF/6ze4YQwj8bpiRJknT18UhoSZIkiT7Yrg08OvpyzJkzh0GDBpGXl0e/fv2oqqrK9JAy7v3336exsZFoNEp1dTVAWsc7Xq26qs+nn37Kl19+mXrydvr06f+o3elqc+jQIerr6zl69CiRSITy8nKefPJJ59FZ3dXHeXTeqVOneOutt+js7CSRSDBu3DimTZtGS0sLtbW1tLe3U1JSwty5c+nfv0++UrNKd/Wpr69n586dqYMX5syZw2233ZbZwWZQMpmkoqKCoqIiKioqnD/ZLPSyRCIRXnrppXDgwIFw+vTp8Oqrr4b9+/f39m3/c2bPnh3a2toyPYys0tzcHPbt2xdeeeWV1O9WrlwZVq9eHUIIYfXq1WHlypWZGl7GdVWfVatWhbVr12ZwVNmltbU17Nu3L4QQwsmTJ8O8efPC/v37nUdndVcf59F5yWQydHR0hBBCOH36dHj99dfD7t27Q3V1dfjmm29CCCEsW7YsrF+/PpPDzJju6vPee++FLVu2ZHh02WPdunWhtrY2LF68OIQQnD9ZrNdbKTw6WukaOXLkRSleOsc7Xq26qo8uVFhYSElJCXBm38zi4mJaW1udR2d1Vx+dF4lEGDRoEHBmK6hEIkEkEqG5uTl1utajjz6as3Oou/rovMOHD9PY2MikSZMACCE4f7JYr+f2XR0d/eOPP/b2bf+TKisrAZg8ebJPrHYjneMdc8369evZtGkTJSUlPPfccy6ez2ppaeGnn37izjvvdB514a/12bVrl/PoL5LJJK+99hoHDhzg8ccfZ9iwYeTn59OvXz/gzIFXufwfir/XZ8SIEXzxxRd88sknfPbZZ4waNYpnnnmGAQMGZHqoGbFixQqeffZZOjo6AGhvb3f+ZDEbWrLE22+/TVFREW1tbbzzzjvcfPPNjBw5MtPDymqXe7xjLnnssceYOnUqAKtWreLjjz++YN/HXBWPx6murub5559P9Tye4zy6uD7Oowvl5eURi8U4ceIES5Ys4ffff8/0kLLK3+vz66+/MmPGDAoKCujs7GTZsmWsXbs2NadyyQ8//EA0GqWkpITm5uZMD0eXoddbKS736Ohcd64m0WiUsrIy9u7dm+ERZad0jnfMJQUFBeTl5ZGXl8ekSZPYt29fpoeUcZ2dnVRXV/Pwww/zwAMPAM6jv+qqPs6jrl177bWUlpayZ88eTp48SSKRAM78ZdTvtfP12b59O4WFhUQiEQYMGMDEiRNz9jtt9+7dbN26lTlz5lBbW8uOHTtYsWKF8yeL9frC2KOjexaPx1N/YonH4zQ1NTF8+PAMjyo7pXO8Yy45t9gD+P7773P+NMoQAkuXLqW4uJinnnoq9Xvn0Rnd1cd5dN6xY8c4ceIEcGYHhqamJoqLiyktLeW7774D4Ouvv87Z77Xu6nNuZ662MwAAATFJREFUDoUQaGhoyNk5NGPGDJYuXUp9fT0vv/wyo0aNYt68ec6fLNYnB3w0Njby0UcfpY6Ofvrpp3v7lv8pBw8eZMmSJcCZhxfGjx9vjYDa2lp27txJe3s70WiUadOmUVZWRk1NDYcOHcrpbbag6/o0Nzfz888/E4lEGDp0KLNmzbroXPlcsmvXLhYuXMjw4cNT7RLTp09nxIgRziO6r8/mzZudR2f98ssv1NfXk0wmCSHw4IMPMnXqVA4ePEhtbS3Hjx/n9ttvZ+7cuTnZQ9tdfRYtWsSxY8cAuPXWW5k1a1bqIb1c1dzczLp166ioqHD+ZDFPvpMkSZLw5DtJkiQJcGEsSZIkAS6MJUmSJMCFsSRJkgS4MJYkSZIAF8aSJEkS4MJYkiRJAlwYS5IkSQD8H3nckgl478/GAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 936x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "################################################################################\n",
    "## Imports\n",
    "\n",
    "import sys\n",
    "import numpy\n",
    "numpy.set_printoptions(threshold=sys.maxsize)\n",
    "from random import random\n",
    "from pyeasyga import pyeasyga\n",
    "import matplotlib as mpl\n",
    "import matplotlib.ticker as ticker\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "################################################################################\n",
    "## Common code\n",
    "\n",
    "# Data\n",
    "data = [0] * 5\n",
    "\n",
    "# Define fitness function\n",
    "def fitness_function(individual, data=None):\n",
    "  return sum(individual)\n",
    "\n",
    "# Define the key field for sorting\n",
    "def get_key(obj):\n",
    "  return obj.fitness\n",
    "\n",
    "################################################################################\n",
    "## Simple Genetic Algorithm (sGA)\n",
    "\n",
    "# Initialize genetic algorithm\n",
    "sga = pyeasyga.GeneticAlgorithm(data, population_size=40, generations=100)\n",
    "\n",
    "# Set fitness function\n",
    "sga.fitness_function = fitness_function\n",
    "\n",
    "# Covariance matrices\n",
    "sga_cm = {}\n",
    "\n",
    "# Set evolution function\n",
    "def run(self, sga_cm):\n",
    "  self.create_first_generation()\n",
    "  # Initial Covariance Matrix\n",
    "  arrs = [numpy.transpose(i.genes) for i in self.current_generation]\n",
    "  sga_cm['icm'] = numpy.cov(arrs)\n",
    "  for i in range(1, self.generations):\n",
    "    self.create_next_generation()\n",
    "    # Intermediary\n",
    "    if i == int(self.generations / 2):\n",
    "      # Intermediary Covariance Matrix\n",
    "      arrs = [numpy.transpose(i.genes) for i in self.current_generation]\n",
    "      sga_cm['tcm'] = numpy.cov(arrs)\n",
    "  # Final Covariance Matrix\n",
    "  arrs = [numpy.transpose(i.genes) for i in self.current_generation]\n",
    "  sga_cm['fcm'] = numpy.cov(arrs)\n",
    "sga.run = run\n",
    "\n",
    "# Run sGA\n",
    "sga.run(sga, sga_cm)\n",
    "# Get best individual\n",
    "result = sga.best_individual()\n",
    "# Print result\n",
    "print('The sGA best solution is: {}'.format(result))\n",
    "\n",
    "################################################################################\n",
    "## Compact Genetic Algorithm (cGA)\n",
    "\n",
    "# Initialize genetic algorithm\n",
    "cga = pyeasyga.GeneticAlgorithm(data, population_size=40, generations=100)\n",
    "\n",
    "# Set fitness function\n",
    "cga.fitness_function = fitness_function\n",
    "\n",
    "# Covariance matrices\n",
    "cga_cm = {}\n",
    "\n",
    "# Update probability vector\n",
    "def update_prob(winner, loser, prob, popsize):\n",
    "  for i in range(0, len(prob)):\n",
    "    if winner[i] != loser[i]:\n",
    "      if winner[i] == 1:\n",
    "        prob[i] += 1.0 / float(popsize)\n",
    "      else:\n",
    "        prob[i] -= 1.0 / float(popsize)\n",
    "\n",
    "# Create a new individual\n",
    "def create_individual(prob):\n",
    "  individual = []\n",
    "  for p in prob:\n",
    "    if random() < p:\n",
    "      individual.append(1)\n",
    "    else:\n",
    "      individual.append(0)\n",
    "  return pyeasyga.Chromosome(individual)\n",
    "cga.create_individual = create_individual\n",
    "\n",
    "# Make competition between two individuals\n",
    "def compete(a, b):\n",
    "  if a.fitness > b.fitness:\n",
    "    return a, b\n",
    "  else:\n",
    "    return b, a\n",
    "\n",
    "# Set evolution function\n",
    "def run(self):\n",
    "  # Initialize probability vector\n",
    "  prob = [0.5] * len(self.seed_data)\n",
    "  # Initialize best solution\n",
    "  best = None\n",
    "  # Population\n",
    "  population = []\n",
    "  # Initial population\n",
    "  arrs = []\n",
    "  for _ in range(self.population_size):\n",
    "    individual = self.create_individual(prob)\n",
    "    population.append(individual)\n",
    "    arrs.append(numpy.transpose(individual.genes))\n",
    "  cga_cm['icm'] = numpy.cov(arrs)\n",
    "  # Run `i` generations\n",
    "  for i in range(0, self.generations):\n",
    "    # Create individuals\n",
    "    a = self.create_individual(prob)\n",
    "    b = self.create_individual(prob)\n",
    "    # Calculate fitness for each individual\n",
    "    a.fitness = self.fitness_function(a.genes)\n",
    "    b.fitness = self.fitness_function(b.genes)\n",
    "    population.append(a)\n",
    "    population.append(b)\n",
    "    # Get the best and worst individual\n",
    "    winner, loser = compete(a, b)\n",
    "    # Update best solution\n",
    "    if best:\n",
    "      if winner.fitness > best.fitness:\n",
    "        best = winner\n",
    "    else:\n",
    "      best = winner\n",
    "    # Intermediary\n",
    "    # Update best individuals population\n",
    "    population.sort(key=get_key, reverse=True)\n",
    "    population = population[:self.population_size]\n",
    "    if i == int(self.generations / 2):\n",
    "      # Intermediary Covariance Matrix\n",
    "      arrs = [numpy.transpose(i.genes) for i in population]\n",
    "      cga_cm['tcm'] = numpy.cov(arrs)\n",
    "    # Update the probability vector based on the success of each bit\n",
    "    update_prob(winner.genes, loser.genes, prob, self.population_size)\n",
    "  # Add final solution\n",
    "  self.current_generation.append(best)\n",
    "  # Update best individuals population\n",
    "  population.sort(key=get_key, reverse=True)\n",
    "  population = population[:self.population_size]\n",
    "  # Final Covariance Matrix\n",
    "  arrs = [numpy.transpose(i.genes) for i in population]\n",
    "  cga_cm['fcm'] = numpy.cov(arrs)\n",
    "cga.run = run\n",
    "\n",
    "# Run evolution\n",
    "cga.run(cga)\n",
    "# Get best individual\n",
    "result = cga.best_individual()\n",
    "# Print result\n",
    "print('The cGA best solution is: {}'.format(result))\n",
    "\n",
    "################################################################################\n",
    "## Heat map\n",
    "\n",
    "def fmt(x, pos):\n",
    "  return r'{:.2f}'.format(x)\n",
    "\n",
    "# sGA\n",
    "\n",
    "hmmin, hmmax = -0.3, 0.3\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(13, 10))\n",
    "fig.suptitle('sGA\\nCovariance Matrix of Initial Population',\n",
    "  fontsize=14, fontweight='bold', y=0.94)\n",
    "heatmap = axis.pcolor(sga_cm['icm'], vmin=hmmin, vmax=hmmax, cmap=plt.cm.Blues)\n",
    "plt.colorbar(heatmap, format=ticker.FuncFormatter(fmt))\n",
    "plt.show()\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(13, 10))\n",
    "fig.suptitle('sGA\\nCovariance Matrix of Intermediary Population',\n",
    "  fontsize=14, fontweight='bold', y=0.94)\n",
    "heatmap = axis.pcolor(sga_cm['tcm'], vmin=hmmin, vmax=hmmax, cmap=plt.cm.Blues)\n",
    "plt.colorbar(heatmap, format=ticker.FuncFormatter(fmt))\n",
    "plt.show()\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(13, 10))\n",
    "fig.suptitle('sGA\\nCovariance Matrix of Final Population',\n",
    "  fontsize=14, fontweight='bold', y=0.94)\n",
    "heatmap = axis.pcolor(sga_cm['fcm'], vmin=hmmin, vmax=hmmax, cmap=plt.cm.Blues)\n",
    "plt.colorbar(heatmap, format=ticker.FuncFormatter(fmt))\n",
    "plt.show()\n",
    "\n",
    "# cGA\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(13, 10))\n",
    "fig.suptitle('cGA\\nCovariance Matrix of Initial Population',\n",
    "  fontsize=14, fontweight='bold', y=0.94)\n",
    "heatmap = axis.pcolor(cga_cm['icm'], vmin=hmmin, vmax=hmmax, cmap=plt.cm.Reds)\n",
    "plt.colorbar(heatmap, format=ticker.FuncFormatter(fmt))\n",
    "plt.show()\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(13, 10))\n",
    "fig.suptitle('cGA\\nCovariance Matrix of Intermediary Population',\n",
    "  fontsize=14, fontweight='bold', y=0.94)\n",
    "heatmap = axis.pcolor(cga_cm['tcm'], vmin=hmmin, vmax=hmmax, cmap=plt.cm.Reds)\n",
    "plt.colorbar(heatmap, format=ticker.FuncFormatter(fmt))\n",
    "plt.show()\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(13, 10))\n",
    "fig.suptitle('cGA\\nCovariance Matrix of Final Population',\n",
    "  fontsize=14, fontweight='bold', y=0.94)\n",
    "heatmap = axis.pcolor(cga_cm['fcm'], vmin=hmmin, vmax=hmmax, cmap=plt.cm.Reds)\n",
    "plt.colorbar(heatmap, format=ticker.FuncFormatter(fmt))\n",
    "plt.show()\n",
    "\n",
    "################################################################################"
   ]
  }
 ],
 "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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}