ies8-hm2-sga-vs-cga-ftrap5.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "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": 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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": 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3h0MPPbRc+1mqKodSSHsR/uXPevuzbNkyAI477jiaN28OwKmnnhp9/a233gLgjDPOAGDevHnArj8ZA4wdO5aGDRsCsGHDBn7xi1+QkpJCXFwcXbp0ib5PybCC3V1wwQUkJiYCEB8fv9f6duzYwZlnnknLli2Jj48nJSWFzZs37/M9TzrpJOrXr0+LFi1o2bIlAF9//TUAf//734FdQx1K/gwM0KVLFxo3bsyyZcui++6CCy4gEomQmJgYHTdb3jGfLVq04NRTTyUvL48LL7wQgEsvvbRatm9//vM//zP6eF/7Mykpiblz5xIfH8/XX39NXFwcc+fOJTk5eZ/vW3KOwA/nRuvWrRk2bBjwwzlSnU477TQikQg9e/aMPldyHPflm2++Ye3atQA88sgj0SEi999/PwAff/wx+fn5pdY544wzaNasGbDnPhs5ciRAqWEaJc+lpaWVqmnVqlVs3boV+GEYSXx8PC+++CLww7nz3nvvAbvOuZKLIseOHbv/nfH/xcXFMXHiRA499FDq1atHw4YNWbNmDbD3c+WEE06gXbt20W1r1aoVJ5xwAgAPPPAA3333Hc8991x0P5THt99+y9///nc+/fRTOnbsyHnnncfSpUtp3Lgxb7/9dvTzU3KeNG7cmOOPPx6AlStXUlRUVOr9TjrpJACaNm3KcccdB8D7779frlr2p6L7qix5eXn885//BODf//3fSUxMJBKJcMoppwCwc+dO3nnnnVLrjBo1iqZNm5KYmEinTp2Ass9hqaq8+E7ai27dulGvXj0KCwv529/+RgihUjMh7O7000/n+uuvZ82aNTz77LPRsXlnnXUWAFu2bOHYY49lw4YN0bGTCQkJ0c7ov/6HCNCqVasy283JyWHNmjXUq1eP3r17k5iYyIoVK9ixY8de37OkkwNQr96uHxG7/6JQoqz90bdv32invcShhx5aZr0lLrvsMh544AE2bdpE3759GTJkSKlxriUqun37U579CfDFF19E37u4uJi1a9eSlZVVobZqWslxLDmGsPfjuC+dOnWK/mK0u5Jx8yX2t89KZoPYvYaS5/Z3/nTv3p2mTZuWeq6qnz+AcePGsWjRougvDMnJyaxevZrNmzeX+/M1fvx4Hn30URYuXMicOXPYsmULbdq04ZhjjilXDWeccUalZhGpjN33Wcn2bdy4sVzrVnRf1YTy/iySqpOJsbQXTZs2jSYxK1as4Lrrrit10cerr77K4sWLARg4cCCw6yKw9evXA7vSthKZmZkAtG3bNnqR3XnnnUdRURHdunXjiCOOAODDDz9kw4YNwK406u2332batGn7rbOszkJ+fn405fmv//ovVq5cyWOPPVbpTkZJ52/nzp3ccccd0ec/+eQTtmzZQmZmZvS9TznlFN54443o14wZM0qlzGUp6QzDvtPiimxfUlISQDSV3Jvy7JevvvqKc889FyCaWF500UV8/vnn+1yn5ByBH86Nr776ipdffhn44RyJpZK/Uuy+Pw455JBounv44Yfz17/+NXr85s+fz7XXXkvr1q1LvU91dFgBevXqFT1Gw4cP5/XXX4+2PWfOHG6++eZoXQBr1qxh5cqVAPu96HF3Janzeeedx/vvv89zzz2336R/b9t21FFH0adPHwoLC6Pn87hx4/b5F4aKGDBgQLTNRx99FNh1seuzzz4LQL9+/fZo509/+lN0uRdeeAH4YR/t/ovNJ598AsBTTz1VrlrKu6/K87kqqeWwww6L1vDdd98RQohuZ0JCQqkLmqXaYsdY2oc777wz2vGZMmUKKSkp9OnTh9TUVIYMGcK7774L7Lqqv169enz++eekpaXRrVs3br31VgBOPvlkevfuHX3Pkjl0S67E331O3bS0NBo1agTsmsu2T58+Vb65Q0pKSvRPwZMnT6Z3795kZGSUSvAq4uSTTyYjIwOAa665hg4dOtC9e3e6devGt99+S6dOnaJDHyZNmkSHDh3o27cvKSkpZGZmRv8sXl7PPfcc33zzzT7nHq7I9nXv3h2AJ598kgEDBkST+ooIIXDmmWfy7bffMnDgQF5//XWysrLYsGEDZ5xxBsXFxXtdb9iwYWRnZwNw1VVX0aNHD7p16xb960Csp4SDH/bH9OnTGThwINdddx2w61wHWLBgAW3atKF///4ceuihdOzYkalTp9ZYPUlJSUyePBmAu+++m0MPPZT+/fvTsmVLevToEf2FYvz48TRq1Iji4mIGDx5Mr1699vmL07/q06cPAPfffz+9evUiPT2d7777rsK1XnzxxcAPncGKzI29P+np6Zx99tkA3HXXXXTu3JlOnTrx8ccfExcXt8cMMQBPPPEE6enpdOrUKTrzytVXXw3sGm5S0hm94oorGDZsGBdddFG5ainvvio5j9566y369OkTHc6xN7fcckt02Y4dO5KWlhYdUjZx4kRSUlLKVZtUk+wYS/uQkpLC0qVLyc3N5Sc/+QkAH330EU2aNOGMM86I/ul06NChvPzyyxxzzDHRP6t37dqVX//61zz00EOl3nP06NHRPw/GxcVx+umnR19r3rw5jz/+OD179qS4uJj69evvdehARUQiEZ544gkGDhxIfHw8RUVFzJ07lxYtWlTq/erXr8+SJUu46qqrSEtLY926deTl5TFkyJDon8jvuusupk+fTt++fcnLy2Pt2rW0adOGiy66KDo+s7ySkpJo0aLFPtO4imzfb37zGwYNGkT9+vVZvnx5dKxqRdx555288MILNGjQgAcffJAGDRrw0EMPkZSUxMsvv0xubu4+1/3zn//MddddR1paGp988glxcXEcf/zxvPbaa/Tr16/CtVTV9OnTo7+0vfXWW3z00UfArvG6f/nLXxg+fDg7duzggw8+IDExkf/4j/+oUOJfGVdffTVz585l0KBBbNq0iY8++ohmzZpxxhlnRFP61q1bs3DhQvr06UNRURFxcXE888wz5Xr/OXPmRKc33LZtG9OmTYt2ACvitNNOiw71yMzMLDWOu6ruvfdebrvtNnr27Mnnn3/O999/z7Bhw3jxxRf52c9+ttfle/TowbZt22jbti133XVXdP7gevXqMW/ePPr3709RUREFBQU88cQT5aqjvPvqyiuvJDs7m+TkZN577739jpcfN24czzzzDEceeSSbN29m3bp19OnTh7vvvvuAm7NbB69IcMCOJEkV0qdPH9577z1mzJjB+PHjY9r2kiVLohduvvzyy3vcdU5S5XnxnSRJ5XT55Zfz1ltv8d5779GyZctqG0YhqW6wYyxJUjk99dRTfPHFF/Tu3Zt77rknevGZpIODQykkSZIkvPhOkiRJAuwYS5IkSYAdY0mSJAmwYyxJkiQBdowlSZIkwI6xJEmSBNgxliRJkgA7xpIkSRJQgTvfFRcXM2nSJFJSUpg0aRJ5eXlMmzaNzZs3k5aWxqWXXkq9et5IT5IkSZW3cuVKZs+eTXFxMSNGjGD06NGlXn/xxRd54YUXiIuLIzExkQsuuIB27doBu+5OuXjxYuLi4jjrrLPo169fhdoud2L83HPP0bZt2+j3Dz/8MDk5Odx55500atSIxYsXV6hhSZIkaXfFxcXMmjWL6667jqlTp/Laa6/xxRdflFrmqKOOIjc3l9tuu41f/OIXPPjggwB88cUXLF26lDvuuIPrr7+eWbNmUVxcXKH2y9Uxzs/PZ/ny5YwYMQKAEAKrVq1i0KBBAAwdOpRly5ZVqGFJkiRpd2vWrKF169a0atWKevXqMXjw4D36mElJSdHH3333HZFIBIBly5YxePBgEhISaNmyJa1bt2bNmjUVar9cYx/mzJnDuHHj2L59OwCbN28mKSmJ+Ph4AFJSUigoKKhQw5IkSdLuCgoKSE1NjX6fmprKxx9/vMdyzz//PAsXLqSwsJAbb7wxum6XLl2iy1Smf1pmx/jtt9+madOmpKWlsWrVqgq9OcCiRYtYtGgRAFOmTKnw+pIkSapZ+Z/9g9SOHWLS1vbt27n55puj32dnZ5OdnV2h9zjuuOM47rjj+Nvf/sYTTzzBJZdcUi21ldkx/vDDD3nrrbdYsWIFO3bsYPv27cyZM4dt27ZRVFREfHw8BQUFpKSk7HX9f93YwvE51VK4FCuRdm3LXuhHbGHugkqvmzNxZDVWcvCpyr6trKock8rW63mgA1FVPp+j8tdVYyXVI7VjBy6MNIlJW/eETfsMS1NSUsjPz49+n5+fv88+JsDgwYOZOXPmXtfdX/90X8ocY3zqqadyzz33MGPGDCZMmMDhhx/OZZddRq9evXjjjTcAWLJkCZmZmRVqWJIkSdpdeno669atIy8vj8LCQpYuXbpHH3Pduh9+sVi+fDlt2rQBIDMzk6VLl7Jz507y8vJYt24dnTt3rlD7lZ5f7bTTTmPatGk89thjdOrUieHDh1f2rSRJklTL6sLNLeLj4zn77LO55ZZbKC4uZtiwYbRv35558+aRnp5OZmYmzz//PO+99x7x8fEkJydz8cUXA9C+fXuOOOIIrrjiCuLi4jjnnHOIi6vYVlWoY9yrVy969eoFQKtWrfjd735XocYkSZKk/cnIyCAjI6PUc2PHjo0+Puuss/a57pgxYxgzZkyl2/aOHJIkSSLu/0979mNWF1JzSZIkqdaZGEuSJMm0FPeBJEmSBJgYS5IkCYhziLGJsSRJkgQmxpIkScK0FNwHkiRJEmBiLEmSJJzHGOwYSzVmYe6CSq+bM3FkNVZSPpWttyq1VmUfxVptHJMD6TyAytdbG+dBbexble1A+jnkOXRwciiFJEmShImxJEmSMC0F94EkSZIEmBhLkiQJb/ABJsaSJEkSYGIsSZIkTEvBfSBJkiQBJsaSJEkCIt7gw8RYkiRJAhNjSZIkYVoK7gNJkiQJMDGWJEkSzmMMJsaSJEkSAJEQQohlg4Xjc2LZnFRlz81bXqn1ciaOrOZKJFWXhbkLKr2un+2650A7nvHX3RfzNsvj5gbNY9LO5O/Xx6SdyjAxliRJknCMsSRJkoA45zE2MZYkSZLAjrEkSZIEOJRCkiRJmJaC+0CSJEkCTIwlSZKEN/gAE2NJkiQJMDGWJEkSpqXgPpAkSZIAE2NJkiQBcTjI2MRYkiRJwsRYKlPOxJGVWm9h7oKYt1kVla23KrVWZR/FWm0ck9pQG+dtbZwHP5bjeaA5kH4OHYznkLNSmBhLkiRJgImxJEmSMC0F94EkSZIEmBhLkiQJxxiDibEkSZIEmBhLkiQJ5zEGE2NJkiQJsGMsSZIkAQ6lkCRJEl58BybGkiRJEmBiLEmSJExLwX0gSZIkASbGkiRJwjHGAJEQQohlg4Xjc2LZnFRlkXZtY97mwtwFlVovZ+LIaq5EJSp7TMDjcrCpyrmg/fuxfFbir7uvtkvYq3sbt4hJOxds/jYm7VSGibEkSZK8wQeOMZYkSZIAE2NJkiThGGMwMZYkSZIAE2NJkiSBI4wxMZYkSZIAE2NJkiThGGMwMZYkSZKAciTGO3bsYPLkyRQWFlJUVMSgQYM46aSTmDFjBqtXryYpKQmAiy++mI4dO9Z0vZIkSaoBzmNcjo5xQkICkydPJjExkcLCQm688Ub69esHwOmnn86gQYNqvEhJkiSpppU5lCISiZCYmAhAUVERRUVFRCL+RiFJkqSDS7nGGBcXF3PVVVdx7rnn0rt3b7p06QLAo48+ypVXXsmcOXPYuXNnjRYqSZKkmhMXic1XXVauWSni4uK47bbb2Lp1K7fffjv//Oc/OfXUU2nWrBmFhYXce++9PPPMM5x44ol7rLto0SIWLVoEwJQpU6q3ekmSJKmaVGi6tkaNGtGrVy9WrlzJqFGjgF1jkIcNG8aCBQv2uk52djbZ2dlVr1SSJEk1xqnKyrEPNm3axNatW4FdM1S8++67tG3blvXr1wMQQmDZsmW0b9++ZiuVJEmSalCZifH69euZMWMGxcXFhBA44ogjGDBgADfffDObNm0CoEOHDpx//vk1XqwkSZJqRh0f/hsTZXaMO3TowO9///s9np88eXKNFCRJkiTVBm8JLUmSJOKcjtdx1pIkSRKYGEuSJAnHGIOJsSRJkgSYGEuSJAkTYzAxliRJkgATY0mSJGFiDCbGkiRJEmBiLEmSJCDiPH8UsJkAACAASURBVMYmxpIkSRLYMZYkSZIAh1JIkiQJL74DE2NJkiQJMDGWJEkSpqVgx1iSJEl1yMqVK5k9ezbFxcWMGDGC0aNHl3r92Wef5aWXXiI+Pp4mTZpw0UUXccghhwCwZMkSnnzySQDGjBnD0KFDK9S2HWNJkiRRF2ZrKy4uZtasWdxwww2kpqZy7bXXkpmZSbt27aLLdOzYkSlTptCgQQNefPFFHn74YS6//HK2bNnCn/70J6ZMmQLApEmTyMzMJDk5udztm5pLkiSpTlizZg2tW7emVatW1KtXj8GDB7Ns2bJSyxx++OE0aNAAgC5dulBQUADsSpr79OlDcnIyycnJ9OnTh5UrV1aofTvGkiRJIhKjf/tTUFBAampq9PvU1NRox3dvFi9eTL9+/fa6bkpKyn7X3RuHUkiSJCmmJk2aFH2cnZ1NdnZ2hd/j1Vdf5dNPP+Wmm26qtrrsGEuSJCmm8xiXjAP+VykpKeTn50e/z8/PJyUlZY/l3n33XZ566iluuukmEhISouuuXr06ukxBQQE9e/asUF0OpZAkSVKdkJ6ezrp168jLy6OwsJClS5eSmZlZapm1a9cyc+ZMrr76apo2bRp9vl+/frzzzjts2bKFLVu28M4770SHWZSXibEkSZLqxJ3v4uPjOfvss7nlllsoLi5m2LBhtG/fnnnz5pGenk5mZiYPP/ww3333HXfccQcALVq04JprriE5OZkTTjiBa6+9FoATTzyxQjNSgB1jSZIk1SEZGRlkZGSUem7s2LHRx7/61a/2ue7w4cMZPnx4pdu2YyxJkiTi6kJkXMscYyxJkiRhYixJkiQoc47hHwMTY0mSJAkTY0mSJFE3ZqWobSbGkiRJEnaMJUmSJMChFJIkSQIijqUwMZYkSZLAxFiSJEl48R2YGEuSJEmAibEkSZKAODNjE2NJkiQJTIwlSZKEY4zBxFiSJEkCTIwlSZKE8xiDibEkSZIEmBhLkiQJxxiDibEkSZIEmBhLkiQJiJgZmxhLkiRJYGIsSZIkIM7A2MRYkiRJAjvGkiRJEuBQCkmSJOF0bWBiLEmSJAEmxpIkScLEGEyMJUmSJMDEWJIkSXiDDzAxliRJkgATY0mSJAERA2MTY0mSJAlMjCVJkoRpKbgPJEmSJMDEWJIkSTiPMZgYS5IkSUA5EuMdO3YwefJkCgsLKSoqYtCgQZx00knk5eUxbdo0Nm/eTFpaGpdeein16hlAS5IkHYgiTktRdsc4ISGByZMnk5iYSGFhITfeeCP9+vXj2WefJScnhyOPPJL77ruPxYsXc8wxx8SiZkmSJKnalTmUIhKJkJiYCEBRURFFRUVEIhFWrVrFoEGDABg6dCjLli2r2UolSZJUYyIx+qrLyjX2obi4mGuuuYavvvqKY489llatWpGUlER8fDwAKSkpFBQU1GihkiRJUk0qV8c4Li6O2267ja1bt3L77bfz5ZdflruBRYsWsWjRIgCmTJlSuSolSZKkGlahq+UaNWpEr169+Oijj9i2bRtFRUXEx8dTUFBASkrKXtfJzs4mOzu7WoqVasPC3AWVWi9n4shKt1mVdVUzPCYHl8p+rsFzoS7yeFaPuj7MIRbKHGO8adMmtm7dCuyaoeLdd9+lbdu29OrVizfeeAOAJUuWkJmZWbOVSpIkSTWozMR4/fr1zJgxg+LiYkIIHHHEEQwYMIB27doxbdo0HnvsMTp16sTw4cNjUa8kSZJqgNO1laNj3KFDB37/+9/v8XyrVq343e9+VyNFSZIkSbHmHTkkSZJEnIGxt4SWJEmSwMRYkiRJQMTI2MRYkiRJAhNjSZIkAU5KYWIsSZIkASbGkiRJwsQYTIwlSZIkwMRYkiRJeOc7sGMslSln4shKrbcwd0HM26yKytZblVqrso9irTaOSW2ojfO2Ns6DH8vxPNAcSD+HPIcOTnaMJUmS5BhjHGMsSZIkAXaMJUmSJMChFJIkScKL78DEWJIkSQJMjCVJkoQX34GJsSRJkgSYGEuSJAmIMzI2MZYkSZLAxFiSJEk4xhhMjCVJkiTAxFiSJEk4jzGYGEuSJEmAibEkSZKAiHGpibEkSZIEJsaSJEnCMcZgYixJkiQBJsaSJEnCeYzBxFiSJEkC7BhLkiRJgEMpJEmShBffgYmxJEmSBJgYS5IkCS++AxNjSZIkCTAxliRJEhBnZGxiLEmSJAFEQgghlg0Wjs+JZXNSlUXata3tEuq0hbkLKr1uzsSR1VjJwacq+7ayqnJMKluv54EORFX5fI7KX1eNlVSff/bpFpN2Dnv3w5i0UxkOpZAkSVKdsXLlSmbPnk1xcTEjRoxg9OjRpV5fvXo1Dz74IP/4xz+YMGECgwYNir62ZMkSnnzySQDGjBnD0KFDK9S2HWNJkiTViXmMi4uLmTVrFjfccAOpqalce+21ZGZm0q5du+gyLVq0YPz48SxYUDq137JlC3/605+YMmUKAJMmTSIzM5Pk5ORyt+8YY0mSJNUJa9asoXXr1rRq1Yp69eoxePBgli1bVmqZli1b0qFDhz068itXrqRPnz4kJyeTnJxMnz59WLlyZYXaNzGWJElSTOcxnjRpUvRxdnY22dnZABQUFJCamhp9LTU1lY8//rhc7/mv66akpFBQUFChuuwYS5IkKaZKhjvUNQ6lkCRJEpFIbL72JyUlhfz8/Oj3+fn5pKSklKv+f123oKCg3OuWsGMsSZKkOiE9PZ1169aRl5dHYWEhS5cuJTMzs1zr9uvXj3feeYctW7awZcsW3nnnHfr161eh9h1KIUmSJCJxtT8rRXx8PGeffTa33HILxcXFDBs2jPbt2zNv3jzS09PJzMxkzZo13H777WzdupW3336b+fPnc8cdd5CcnMwJJ5zAtddeC8CJJ55YoRkpwI6xJEmS6pCMjAwyMjJKPTd27Njo486dO3PPPffsdd3hw4czfPjwSrftUApJkiQJE2NJkiQR2+na6ioTY0mSJAkTY0mSJAFxRsZ2jKWasjB3QdkL7UPOxJHVWEn5VLbeqtRalX0Ua7VxTA6k8wAqX29tnAe1sW9VtgPp55Dn0MHJjrEkSZIcY4xjjCVJkiTAxFiSJElAxMjYxFiSJEkCE2NJkiThGGMwMZYkSZIAE2NJkiThGGMwMZYkSZKAciTG3377LTNmzGDDhg1EIhGys7P5+c9/zvz583nppZdo0qQJAKeccgoZGRk1XrAkSZKqn4FxOTrG8fHxnH766aSlpbF9+3YmTZpEnz59AMjJyWHUqFE1XqQkSZJU08rsGDdv3pzmzZsD0LBhQ9q2bUtBQUGNFyZJkqTYcYxxBccY5+XlsXbtWjp37gzACy+8wJVXXsndd9/Nli1baqRASZIkKRbKPSvFd999R25uLmeeeSZJSUkcc8wxnHjiiQDMmzePhx56iPHjx++x3qJFi1i0aBEAU6ZMqaayJUmSpOoVCSGEshYqLCzk1ltvpW/fvhx//PF7vJ6Xl8ett95Kbm5umQ0Wjs+pXKVSLYm0a1vbJdRpC3MXVHrdnIkjq7GSg09V9m1lVeWYVLZezwMdiKry+RyVv64aK6k+G47uHZN2mv31vZi0UxllDqUIIXDPPffQtm3bUp3i9evXRx+/+eabtG/fvmYqlCRJkmKgzKEUH374Ia+++iqHHXYYV111FbBrarbXXnuNzz77jEgkwiGHHML5559f48VKkiSpZnjxXTk6xt27d2f+/Pl7PO+cxZIkSTqYeEtoSZIkQZyJsbeEliRJkjAxliRJEnhPaEyMJUmSJMDEWJIkSTgrBZgYS5IkSYCJsSRJksBZKTAxliRJkgATY0mSJIGzUmBiLEmSJAEmxpIkSQIijjE2MZYkSZLAjrEkSZIEOJRCkiRJ4MV3mBhLkiRJgImxJEmS8OI7MDGWJEmSABNjSZIkgWOMMTGWJEmSABNjSZIkATjG2MRYkiRJAhNjSZIkARHHGJsYS5IkSQCREEKIZYOF43Ni2ZxUZZF2bWu7hHJbmLug0uvmTBxZjZVod5U9Lh4T6eAUf919tV3CXm0dPTgm7TR6emlM2qkME2NJkiQJxxhLkiQJnMcYE2NJkiQJMDGWJEkSEDEuNTGWJEmSwI6xJEmSBDiUQpIkSeDFd5gYS5IkSYCJsSRJkoBInImxibEkSZKEibEkSZLAMcaYGEuSJEmAibFUJy3MXVCp9XImjqzmSlSisscEPC4Hm6qcC9o/Pyu1zDHGJsaSJEkSmBhLkiQJiDjG2MRYkiRJAhNjSZIkgWOMMTGWJEmSABNjSZIkgfMYY2IsSZIkASbGkiRJwlkpwMRYkiRJAuwYS5IkSYBDKSRJkgRO14aJsSRJkgSYGEuSJAkvvgM7xlKNWZi7oNLr5kwcWY2VlE9l661KrVXZR7FWG8ekNtTGeVsb50FVjueP5VyoDQfSzyHPg4OTHWNJkiQ5xhjHGEuSJEmAibEkSZLAW0JjYixJkiQBJsaSJEkCIo4xNjGWJEmSwMRYkiRJ4BhjTIwlSZIkoByJ8bfffsuMGTPYsGEDkUiE7Oxsfv7zn7NlyxamTp3KN998wyGHHMLll19OcnJyLGqWJElSdasjY4xXrlzJ7NmzKS4uZsSIEYwePbrU6zt37uSuu+7i008/pXHjxkyYMIGWLVsC8NRTT7F48WLi4uI466yz6NevX4XaLjMxjo+P5/TTT2fq1KnccsstvPDCC3zxxRc8/fTT9O7dm+nTp9O7d2+efvrpCjUsSZIk7a64uJhZs2Zx3XXXMXXqVF577TW++OKLUsssXryYRo0aceedd5KTk8PcuXMB+OKLL1i6dCl33HEH119/PbNmzaK4uLhC7ZfZMW7evDlpaWkANGzYkLZt21JQUMCyZcsYMmQIAEOGDGHZsmUValiSJEl1RyQSicnX/qxZs4bWrVvTqlUr6tWrx+DBg/foY7711lsMHToUgEGDBvH+++8TQmDZsmUMHjyYhIQEWrZsSevWrVmzZk2F9kGFxhjn5eWxdu1aOnfuzMaNG2nevDkAzZo1Y+PGjRVqWJIkSdpdQUEBqamp0e9TU1MpKCjY5zLx8fEkJSWxefPmPdZNSUnZY92ylHtWiu+++47c3FzOPPNMkpKSSr22v98AFi1axKJFiwCYMmVKhYqTJElSjMRwjPGkSZOij7Ozs8nOzo5Z2/tTro5xYWEhubm5HH300WRlZQHQtGlT1q9fT/PmzVm/fj1NmjTZ67p1aWMlSZJU+/YVlqakpJCfnx/9Pj8/n5SUlL0uk5qaSlFREdu2baNx48Z7rFtQULDHumUpcyhFCIF77rmHtm3bcvzxx0efz8zM5JVXXgHglVdeYeDAgRVqWJIkSdpdeno669atIy8vj8LCQpYuXUpmZmapZQYMGMCSJUsAeOONN+jVqxeRSITMzEyWLl3Kzp07ycvLY926dXTu3LlC7ZeZGH/44Ye8+uqrHHbYYVx11VUAnHLKKYwePZqpU6eyePHi6HRtkiRJOkDVgRt8xMfHc/bZZ3PLLbdQXFzMsGHDaN++PfPmzSM9PZ3MzEyGDx/OXXfdxaWXXkpycjITJkwAoH379hxxxBFcccUVxMXFcc455xAXV7FbdpTZMe7evTvz58/f62s33nhjhRqTJEmS9icjI4OMjIxSz40dOzb6uH79+lxxxRV7XXfMmDGMGTOm0m17S2hJkiTVicS4tnlLaEmSJAkTY0mSJIGJMSbGkiRJEmBiLEmSJIAKzuBwMHIPSJIkSZgYS5IkCRxjjImxJEmSBJgYS5IkCUyMMTGWJEmSABNjSZIkgYkxJsaSJEkSYGIsSZIkcB5jTIwlSZIkwI6xJEmSBDiUQpIkSeDFd5gYS5IkSYCJsSRJksDEGBNjSZIkCTAxliRJEpgYY2IsSZIkASbGkiRJAm/wgYmxJEmSBEAkhBBi2WDh+JxYNidVWaRd29ouoU5bmLug0uvmTBxZjZUcfKqybyurKseksvV6HuhAVJXP56j8ddVYSfUpvGFcTNqp95uHY9JOZZgYS5IkSTjGWJIkSeCsFJgYS5IkSYCJsSRJksDEGBNjSZIkCTAxliRJEhBxHmMTY0mSJAnsGEuSJEmAQykkSZIEXnyHibEkSZIEmBhLkiQJTIwxMZYkSZIAE2OpxizMXVDpdXMmjqzGSsqnsvVWpdaq7KNYq41jciCdB1D5emvjPKiNfauyHUg/hw7Kc8jE2MRYkiRJAhNjSZIkAXiDDxNjSZIkCUyMJUmSBI4xxsRYkiRJAkyMJUmSBCbGmBhLkiRJgImxJEmSwMQYE2NJkiQJMDGWJEkSOI8xJsaSJEkSYMdYkiRJAhxKIUmSJPDiOyASQgixbLBwfE4sm5OqLNKubW2XUG4LcxdUet2ciSOrsRLtrrLHxWMiHZzir7uvtkvYq6LbLo5JO/FXzYhJO5VhYixJkiQTYxxjLEmSJAEmxpIkSQKna8PEWJIkSQJMjCVJkgSOMcbEWJIkSQJMjCVJkgQmxpgYS5IkSUA5EuO7776b5cuX07RpU3JzcwGYP38+L730Ek2aNAHglFNOISMjo2YrlSRJUs0xMS67Yzx06FCOO+44ZswofZeSnJwcRo0aVWOFSZIkSbFUZse4Z8+e5OXlxaIWSZIk1RbnMa78xXcvvPACr776Kmlpafzyl78kOTm5OuuSJEmSYqpSHeNjjjmGE088EYB58+bx0EMPMX78+L0uu2jRIhYtWgTAlClTKlmm9OOyMHdBpdbLmTiymitRicoeE/C4HGyqci5o//ys1DLHGFeuY9ysWbPo4xEjRnDrrbfuc9ns7Gyys7Mr04wkSZIUM5UaTLJ+/fro4zfffJP27dtXW0GSJElSbSgzMZ42bRqrV69m8+bNXHjhhZx00kmsWrWKzz77jEgkwiGHHML5558fi1olSZJUUxxKUXbHeMKECXs8N3z48BopRpIkSaot3hJakiRJEHG6NveAJEmShImxJEmSAOIcY2xiLEmSJGFiLEmSJHCMMSbGkiRJEmBiLEmSJHAeY0yMJUmSJMDEWJIkSQBx5qV2jKUasjB3QaXXzZk4shorKZ/K1luVWquyj2KtNo5JbaiN87Y2zoOqHM8fy7lQGw6kn0OeBwcnO8aSJElyjDGOMZYkSZIAE2NJkiSB8xhjYixJkiQBJsaSJEmqg0IIzJ49mxUrVtCgQQPGjx9PWlraHss9+uijvPrqq2zZsoU//vGP0ed37tzJXXfdxaeffkrjxo2ZMGECLVu23G+bJsaSJEnadfFdLL7KacWKFXz11VdMnz6d888/n/vvv3+vyw0YMIDf/va3ezy/ePFiGjVqxJ133klOTg5z584ts007xpIkSapz3nrrLX76058SiUTo2rUrW7duZf369Xss17VrV5o3b77X9YcOHQrAoEGDeP/99wkh7LdNh1JIkiSpzt3go6CggBYtWkS/T01NpaCgYK+d4H2tn5qaCkB8fDxJSUls3ryZJk2a7HMdO8aSJEmKqUmTJkUfZ2dnk52dXYvV/MCOsSRJkmJ6g48pU6bs9fnnn3+el156CYD09HS+/fbb6Gv5+fmkpKSUu42UlBTy8/NJTU2lqKiIbdu20bhx4/2uY8dYkiRJdcJxxx3HcccdB8Dy5ct5/vnnOfLII/n4449JSkoq9zAK2HVR3pIlS+jatStvvPEGvXr1IlJG579uDSaRJElS7YjExearnPr370/Lli257LLLuPfeezn33HOjr1111VXRxw8//DAXXnghO3bs4MILL2T+/PkADB8+nC1btnDppZfy7LPPctppp5XZpomxJEmS6pxIJFKqM7y72267Lfp43LhxjBs3bo9l6tevzxVXXFGxNkNZ81ZUs8LxObFsTqqy5+Ytr9R6ORNHVnMlkqrLwtwFlV7Xz3bdc6Adz/jr7ot5m+VRNPd3MWkn/rRrY9JOZTiUQpIkScKhFJIkSYIKjf89WLkHJEmSJEyMJUmSBDGdx7iuMjGWJEmSMDGWJEkSOMYYE2NJkiQJsGMsSZIkAQ6lkCRJEkCcF9+ZGEuSJEmYGEuSJAmcrg0TY0mSJAmASAghxLLBwvE5sWxOkiSpTql398LaLmGviv40LSbtxJ84ISbtVIaJsSRJkoRjjCVJkgTOSoGJsSRJkgSYGEuSJAm8JTQmxpIkSRJgYixJkiRwHmNMjCVJkiTAxFiSJEngGGNMjCVJkiTAxFiSJEngPMaYGEuSJEmAHWNJkiQJcCiFJEmSwIvvMDGWJEmSABNjSZIkgTf4wMRYkiRJAkyMJUmSBBBnXuoekCRJkjAxliRJEjjGGBNjSZIkCTAxliRJEjiPMSbGkiRJElCOxPjuu+9m+fLlNG3alNzcXAC2bNnC1KlT+eabbzjkkEO4/PLLSU5OrvFiJUmSVEMcY1x2Yjx06FCuu+66Us89/fTT9O7dm+nTp9O7d2+efvrpGitQkiRJioUyO8Y9e/bcIw1etmwZQ4YMAWDIkCEsW7asZqqTJElSbMTFxearDqtUdRs3bqR58+YANGvWjI0bN1ZrUZIkSVKsVXlWikgkQmQ/Y1IWLVrEokWLAJgyZUpVm5MkSVJNcIxx5TrGTZs2Zf369TRv3pz169fTpEmTfS6bnZ1NdnZ2pQuUJEmSYqFSQykyMzN55ZVXAHjllVcYOHBgtRYlSZIkxVqZifG0adNYvXo1mzdv5sILL+Skk05i9OjRTJ06lcWLF0ena5MkSdIBzBt8EAkhhFg2WDg+J5bNSZIk1Sn17l5Y2yXsVdHiuTFpJ374aTFppzK8JbQkSZK8+A5vCS1JkiQBJsaSJEkCxxhjYixJkiQBJsaSJEkCiHOMsYmxJEmShImxJEmSwDHGmBhLkiRJgImx9P/au/vQKss/juPvc+bjzKZbaihZzpTwIUpdWZllzrIskBBBjYgwiZmi0XAVFKLD4VxbppFgaEmUEanYDzRUVDIldQtxoak9P6ht0znnVu7s/v2hHjP3YFN3Tu79goFn5965L75csMvPvvd1SZIkcB9jTIwlSZIkwMRYkiRJYI8xJsaSJEkSYGIsSZIkIGSPsYmxJEmSBC6MJUmSJMBWCkmSJIEP32FiLEmSJAEmxpIkSQITY0yMJUmSJMDEWJIkSQBht2szMZYkSZIwMZYkSRLYY4yJsSRJkgSYGEuSJAnAI6FNjCVJkiQwMZYkSRLYY4yJsSRJkgSYGEuSJAnsMcbEWJIkSQJMjCVJkgT2GGNiLEmSJAEmxpIkSQII22NsYixJkiThwliSJEkCbKWQJEkS+PAdJsaSJEkSYGIsSZIkiLsDPoIgYNmyZRQVFdG2bVsyMjJITU294Jo///yTN954gyNHjhAOhxk8eDCTJk0C4PTp0yxatIjvvvuOjh07MmPGDLp27drgPU2MJUmSFHeKioo4fPgwCxcuZMqUKSxdurTO65544gkKCgqYP38++/fvp6ioCIBNmzbRoUMH3nrrLcaMGcMHH3zQ6D1dGEuSJOlMj3FzfF2iXbt2MXz4cEKhEH379qWyspJjx45dcE3btm0ZMGAAAK1ataJXr16UlpZGf/7BBx8EYOjQoezdu5cgCBq8pwtjSZIkxZ2ysjJuuOGG6OuUlBTKysrqvb6yspLdu3czcODA6M+npKQAkJCQQGJiIhUVFQ3e0x5jSZIkNWuPcVZWVvTf6enppKenX9bnRSIR3nzzTR599FG6devW5M9xYSxJkqRmlZOTU+f3161bx8aNGwHo3bs3JSUl0fdKS0tJTk6u8+eWLFnCjTfeyJgxY6LfS05OprS0lJSUFCKRCKdOnaJjx44NjsuFsSRJkuJiH+PRo0czevRoAAoLC1m3bh333XcfBw4cIDExkc6dO1/0Mx999BGnTp3i+eefv+D7gwcPZvPmzfTt25cdO3bQv39/Qo2k4rGvgCRJkvQPd955J127dmX69OksWbKEyZMnR9/LzMwEzqTIn376Kb/++iuzZs0iMzMzmjg/9NBDnDx5kmnTpvHZZ59Ft3FrSCho7PG8K6wmY0zjF0mSJF2jWr39v1gPoU61+7Y3y33Ct93TLPdpChNjSZIkCXuMJUmSBI3237YEJsaSJEkSJsaSJEmCuNiVItasgCRJkoQLY0mSJAmwlUKSJEnQrEdCxysTY0mSJAkTY0mSJIEP32FiLEmSJAEmxpIkSQJ7jDExliRJkgATY0mSJAGEzUutgCRJksRlJsZTp06lXbt2hMNhEhISyMnJuVLjkiRJUnOyx/jyWylef/11rr/++isxFkmSJClm7DGWJEmS+xhzBRbG2dnZAIwaNYr09PTLHpAkSZIUC5e1MJ4zZw7JycmUl5czd+5cunfvTr9+/S64ZsOGDWzYsAHAHmRJkqR4ZY/x5S2Mk5OTAUhKSiItLY2DBw9etDBOT083SZYkSVLca3IzSXV1NVVVVdF/79mzh549e16xgUmSJKk5hZrpK341OTEuLy9nwYIFAEQiEYYNG8Ydd9xxxQYmSZIkNacmL4y7detGbm7ulRyLJEmSFDNu1yZJkiQfvsMjoSVJkiTAxFiSJElgYoyJsSRJkgSYGEuSJAmI963UmoOJsSRJkoSJsSRJksAeY0yMJUmSJMDEWJIkSWCLMSbGkiRJEmBiLEmSJMDI2MRYkiRJAkyMJUmSBO5KgYmxJEmSBJgYS5IkCUyMMTGWJEmSABfGkiRJEmArhSRJkgC3azMxliRJkgATY0mSJIEP32FiLEmSJAEmxpIkSQLsMTYxliRJkgATY0mSJIE9xpgYS5IkSYCJsSRJksDEGBNjSZIkCTAxliRJEuCuFCbGkiRJEmBiLEmSJCBkj7GJsSRJkgQmxpIkSQJ3pcDEWJIkSQJcGEuSJEmArRSSJEkC3K7NxFiSJEkCTIwlSZIEPnyHibEkSZIEmBhLkiQJTIwxMZYkSZIAE2NJkiQB7kphYixJkiQBJsaSJEkCe4wxMZYkSZIAE2NJkiSB8CmsyAAACP5JREFULcaYGEuSJEmAibEkSZIAI2MTY0mSJAkwMZYkSRK4KwUmxpIkSRLgwliSJEkCbKWQJEkS2EqBibEkSZIEmBhLkiQJcLs2E2NJkiQJMDGWJEkS2GOMibEkSZIEmBhLkiQJTIwxMZYkSZKAy0yMv/76a5YtW0ZtbS0jR45k7NixV2pckiRJalbxlRgHQcCyZcsoKiqibdu2ZGRkkJqaetF12dnZHD9+nEgkwm233cbkyZMJh8OcPHmS/Px8/vjjD7p06cLMmTO57rrrGrxnkxPj2tpa3n33XV555RXy8/PZtm0bv/zyS1M/TpIkSYoqKiri8OHDLFy4kClTprB06dI6r5s5cya5ubnk5eVx4sQJtm/fDsDq1asZOHAgCxcuZODAgaxevbrRezZ5YXzw4EFuvPFGunXrRqtWrbj33nvZuXNnUz9OkiRJsRQKNc/XJdq1axfDhw8nFArRt29fKisrOXbs2EXXJSYmAhCJRKipqSF09h47d+7kgQceAOCBBx64pHVqkxfGZWVlpKSkRF+npKRQVlbW1I+TJEmSosrKyrjhhhuirxtaa2ZnZ/Pcc8/Rvn17hg4dCkB5eTmdO3cGoFOnTpSXlzd6z6u+K8WGDRvYsGEDADk5ObR6+39X+5aSJEn6txKTmuU2VVVVzJ49O/o6PT2d9PT0y/rMV199lb/++ouFCxeyd+9ebr/99gveD4VC0SS5IU1OjJOTkyktLY2+Li0tJTk5+aLr0tPTycnJIScnh6ysrKberkWwPo2zRo2zRg2zPo2zRg2zPo2zRg1r6fVp3759dG2Yk5NzwaJ43bp1ZGZmkpmZSadOnSgpKYm+V99a85w2bdqQlpYWbZlISkqKtl4cO3aM66+/vtGxNXlh3Lt3b37//XeOHj1KTU0NX375JUOGDGnqx0mSJKmFGz16NLm5ueTm5nLXXXexdetWgiDg22+/JTExMdoacU51dXV08RuJRCgsLKRHjx4ADBkyhC1btgCwZcsW0tLSGr1/k1spEhISePbZZ8nOzqa2tpYRI0Zw0003NfXjJEmSpKg777yTwsJCpk+fTps2bcjIyIi+l5mZSW5uLtXV1cyfP5/Tp08TBAH9+/dn1KhRAIwdO5b8/Hw2bdoU3a6tMZfVYzxo0CAGDRp0yddfbv/Itc76NM4aNc4aNcz6NM4aNcz6NM4aNcz6XJpQKMTkyZPrfC83Nxc481DdvHnz6rymY8eOvPbaa//unkEQBP9umJIkSdK1xyOhJUmSJJphuzbw6OhLMXXqVNq1a0c4HCYhIYGcnJxYDynm3n77bQoLC0lKSiIvLw+gScc7Xqvqqs/HH3/Mxo0bo0/eTpgw4V+1O11rSkpKWLx4McePHycUCpGens5jjz3mPDqrvvo4j87766+/eP3116mpqSESiTB06FDGjx/P0aNHKSgooKKigtTUVKZNm0arVs3yKzWu1FefxYsX880330QPXpg6dSq33HJLbAcbQ7W1tWRlZZGcnExWVpbzJ54FV1kkEgleeOGF4PDhw8Hp06eDl156Kfj555+v9m3/czIyMoLy8vJYDyOuFBcXB4cOHQpefPHF6PdWrFgRrFq1KgiCIFi1alWwYsWKWA0v5uqqz8qVK4M1a9bEcFTxpaysLDh06FAQBEFw6tSpYPr06cHPP//sPDqrvvo4j86rra0NqqqqgiAIgtOnTwcvv/xysH///iAvLy/44osvgiAIgiVLlgTr16+P5TBjpr76LFq0KNi+fXuMRxc/1q5dGxQUFATz5s0LgiBw/sSxq95K4dHRaqp+/fpdlOI15XjHa1Vd9dGFOnfuTGpqKnBm38wePXpQVlbmPDqrvvrovFAoRLt27YAzW0FFIhFCoRDFxcXR07UefPDBFjuH6quPzistLaWwsJCRI0cCEASB8yeOXfXcvq6jow8cOHC1b/uflJ2dDcCoUaN8YrUeTTnesaVZv349W7duJTU1laefftrF81lHjx7l+++/59Zbb3Ue1eHv9dm3b5/z6G9qa2uZNWsWhw8f5pFHHqFbt24kJiaSkJAAnDnwqiX/h+Kf9enTpw+ff/45H374IZ988gkDBgxg0qRJtG7dOtZDjYnly5fz1FNPUVVVBUBFRYXzJ47Z0BIn5syZQ3JyMuXl5cydO5fu3bvTr1+/WA8rrl3q8Y4tycMPP8y4ceMAWLlyJe+///4F+z62VNXV1eTl5fHMM89Eex7PcR5dXB/n0YXC4TC5ublUVlayYMECfvvtt1gPKa78sz4//fQTEydOpFOnTtTU1LBkyRLWrFkTnVMtye7du0lKSiI1NZXi4uJYD0eX4Kq3Ulzq0dEt3bmaJCUlkZaWxsGDB2M8ovjUlOMdW5JOnToRDocJh8OMHDmSQ4cOxXpIMVdTU0NeXh73338/d999N+A8+ru66uM8qluHDh3o378/3377LadOnSISiQBn/jLq77Xz9fn666/p3LkzoVCI1q1bM2LEiBb7O23//v3s2rWLqVOnUlBQwN69e1m+fLnzJ45d9YWxR0c3rrq6Ovonlurqavbs2UPPnj1jPKr41JTjHVuSc4s9gK+++qrFn0YZBAHvvPMOPXr04PHHH49+33l0Rn31cR6dd+LECSorK4EzOzDs2bOHHj160L9/f3bs2AHA5s2bW+zvtfrqc24OBUHAzp07W+wcmjhxIu+88w6LFy9mxowZDBgwgOnTpzt/4lizHPBRWFjIe++9Fz06+sknn7zat/xPOXLkCAsWLADOPLwwbNgwawQUFBTwzTffUFFRQVJSEuPHjyctLY38/HxKSkpa9DZbUHd9iouL+eGHHwiFQnTp0oUpU6ZcdK58S7Jv3z5ee+01evbsGW2XmDBhAn369HEeUX99tm3b5jw668cff2Tx4sXU1tYSBAH33HMP48aN48iRIxQUFHDy5El69erFtGnTWmQPbX31mT17NidOnADg5ptvZsqUKdGH9Fqq4uJi1q5dS1ZWlvMnjnnynSRJkoQn30mSJEmAC2NJkiQJcGEsSZIkAS6MJUmSJMCFsSRJkgS4MJYkSZIAF8aSJEkS4MJYkiRJAuD/dCPJA5f2MRIAAAAASUVORK5CYII=\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"
    }
   ],
   "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",
    "  u = sum(individual)\n",
    "  if u < 5:\n",
    "    return 4 - u\n",
    "  return 5\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",
    "    population.append(a)\n",
    "    population.append(b)\n",
    "    # Calculate fitness for each individual\n",
    "    a.fitness = self.fitness_function(a.genes)\n",
    "    b.fitness = self.fitness_function(b.genes)\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",
    "################################################################################"
   ]
  }
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