ies5-sga-vs-cga-ftrap5-comparison.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEmCAYAAACEQCxyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3deVwV9frA8c8cDpsoICCiiCKKmqaCGySpqGiWWqaZS3rVzHtdyPvrlleqa7ZYkWaZW4uVVppl5pJLmrhVmPtycSkXcEkFFFxQNg9nfn+cy9ETq2yDzPP+w5cMM9/znIdz5pn5zny/o6iqqiKEEEKXDFoHIIQQQjtSBIQQQsekCAghhI5JERBCCB2TIiCEEDomRUAIIXRMioAolKIoKIrCq6++WibtnT592trmokWLyqTNshQfH89DDz2Em5sbiqIQFBSkWSxlnfu/trdt2zbrsm3bthW7nUWLFlm3O336dKnXK6nK/lm6V0gR0Fh4eLj1g6woCnZ2dvj6+tK3b1927NihdXgl9uqrr1rf050cHR0JCQkhJCSEWrVqaRRdwf71r3/x008/kZ6eTrt27WjVqlWB606bNo3Q0FCcnZ0L3dmdPHmSJ554Ag8PD5ycnGjTpg1Lly4tMpbcPNWrV680b6lArq6u1tdwdXUt9na1atWybufo6FgusYmKY9Q6AGHh4OBAcHAwWVlZHD58mLVr17JhwwZiY2Pp0KGD1uGVmTp16rBz506twyjQkSNHABg4cCBff/11oesuX76c+Ph4vL29OXv2bL7rXLx4kbCwMJKTk3F1daVu3bocOHCAoUOHkpGRwdNPP11g++WdpzZt2pToNXr37k3v3r3LISKhBTkTqCRyd44HDhxg1apVAJhMJpsd0Q8//ECnTp2oXr06Tk5OtG7dmg8//JA7B33nHpFGRUUxfvx4atasibu7O5GRkWRnZ+dZ786uhtyzkvDw8ALjvHnzJv369aNhw4a4uLjg6OhIYGAgr7zyirX98PBwXnvttTyvtWjRogJP4Q8fPkz//v3x8vLCwcGBhg0b8sILL3Djxo1845s3bx7+/v7UqFGDPn36kJiYWGh+c3JymDlzJi1atMDR0RFXV1e6devG5s2bgdtdCydPngRg6dKlKIrCyJEjC2xz7dq1XLt2jUmTJhW4zttvv01ycjI1atTg2LFjxMfHM2DAAAAmT55s8zf5q8K6bxYtWkSfPn2oVq0aDRs25LPPPrPZ9pdffiEoKAgnJyeCg4OJjY3N0/5fu4N27txp/Xnv3r3W9ZYvX249Sz137ly+3TyqqvLaa6/h7e1N9erVGT58ONeuXcvzmiNHjkRRFPz9/a3L8mtvw4YNdOrUCW9vbxwcHHB1daVTp078+OOPBeYLLJ/PCRMmUL9+fZycnPD09CQkJIT33nuv0O10TRWa6tKliwqoDRo0sC5bu3atCqiA+s9//lNVVVX96quvrMu8vb1Vf39/689RUVHWbXOXOTo6ql5eXjbrTZo0Kc96U6dOzRNLly5dClzv0qVLKqDWrl1bDQoKUuvVq2dd54UXXlBVVVXHjRun+vr6WpeHhISoISEh6tq1a9WEhATr8oULF6qqqqpHjx5Vq1evrgKqi4uLet9996kGg0EF1I4dO6o5OTk28dnb26tOTk5qYGCgta2hQ4cWmufRo0db123UqJHq6empAqrBYFDXr1+vXrhwQQ0JCVEdHBxUQPXy8lJDQkLU119/vci/4Zw5c6xtJyQk2PyucePGKqD27NnTumzJkiXW9WNjYwts96+537p1q3WZvb296u/vr7q6ulrfx7Fjx1RVVdXExERrPp2cnNT77rvPul5B7W3dulVVVVVt1qyZCqjPP/+8NY7+/furgBoREaGqqqouXLgwz/udN2+edVmdOnVUX19f1cXFJc96I0aMyPN5z6+9GTNmqPb29mpAQIAaHBxsfT9Go1E9ePCgqqpqvp+lf/3rXyqgOjg4qMHBwWpAQIBqNBrV7t27F/l31Cs5E6gkLl68SGhoKMHBwfTr1w8Ao9HIkCFDAHj55ZcBaNeuHWfOnCE+Pp7BgwcDMHPmTFJTU23a8/f35/Tp08THx/P4448DMGfOHNLT00sVp6urK0eOHCExMZEDBw5w7tw5hg0bBsA333wDwPz583nmmWes2+zcuZOdO3cW2IUQHR3NjRs3cHFx4ciRIxw9epR58+YBsGPHDtatW2ezfk5ODjt37uT48ePW95Z7RJ+fU6dO8fnnnwMwYcIETp48SUJCAoGBgZjNZv7zn/9Yz8Tq1KkDWLo8du7cyZQpU0qSJqtz584B4O3tbV1Wu3Zt6/8L6kYqymOPPUZ8fDy//PILAGaz2Xpxd/78+dy4cQNFUdixYwdHjx5l5syZxWp3xIgRACxbtgxVVUlLS2P9+vUAjBo1qsDt3nnnHQA6dOjA6dOnOX36NO3bty/RewN44oknSE5O5tSpU+zfv5+zZ89So0YNTCYTy5cvL3C748ePA/Cf//yH/fv3c+rUKVJSUnj77bdLHEtVJ0WgksjOzmbXrl3897//pVatWvTu3Zvt27cTEhJCcnKydWfx+OOP4+TkhKIo1gJx69YtDh06ZNNe7969cXFxQVEUBg4cCEBmZianTp0qVZx2dnYsXryYJk2a4OjoiKIoLF68GIALFy6UqM09e/YA0LFjRxo0aADA0KFDrb+/s2sCoGXLlrRu3RqA5s2bA5CUlFRg+/v27bN2meW2m9uNBHDw4EFycnJKFHtJqGUwZ+NTTz2FoijW9w+3cxAXFwdAYGAgwcHBAAwaNKhY7Q4fPhyDwcC5c+eIjY1l1apVZGZm4ubmZi24f3X9+nXr57Nfv344ODhgNBrp379/id9fdnY2I0eOxNvbGzs7Ozw8PEhLSwMK/5z17dsXgFdeeYX69esTERHB9OnTK+VNCJWFXBiuJBo0aFAut9EV5c6dX359uH8VHR1tPapq0KABPj4+/Pnnn5w/fx6z2Vxucd7J3d3d+n+jsXJ/hP38/Dh58iTJycnWZXf+v379+iVqNzcHd77/siguvr6+9OjRg40bN/LNN9+QkJAAWIqIs7NzqdvPvVusqM9d7969OXnyJEajkZYtW+Lk5MSBAwfIzs4utGD//e9/p1mzZvzwww/ExcWxb98+Nm/ezMKFCzl+/DguLi6lfg9VjZwJ3AO8vb2tO4uVK1eSmZmJqqrW2wzt7e2tR8a51q9fT3p6OqqqWk+fnZycaNSokbVNwHpmcPLkSQ4fPlxkLLl3kzRp0oTTp08TGxub57UBqlWrZv3/zZs3C20zt9tgx44dnDlzBsDmgni7du2KjKswbdu2te58cnOWlpbG2rVrAQgKCsLOzq5Ur1GQXr16AfDbb79Zj2BXrFgBgJeXV6nfW37uv/9+wPI3PXjwIADfffddsbfPvRj+zTffsGnTJptl+XF1dcXPzw+w3LyQnZ2NyWRi5cqVedbN/dwlJyeTlpaG2Wxm9erVNuukpKRYL9C//vrrHDx4kG+++SbP7cb52b17Ny1atODdd99l48aN1r/xhQsX+P3334vcXo+kCNwj3nzzTcDSNeLv709AQIC1D/7555/Hw8PDZv1z585Z18vd6URGRlp3zt27dwcsO8UuXboQGhparCP53Pvmjx8/TsOGDWnQoEG+txk2a9bM+v8WLVoQGhpKfHx8vm1GRUVRvXp1bt68SYsWLWjRogUTJkwALF1Epb0dsVGjRtZbMefOnUvjxo1p2LAhJ06cwGAwMG3atBK1+9RTT9G4cWObO6HCw8Np3LixNedRUVF4eXmRlpbGfffdR0BAAN9//z0Ab731Fg4ODqV6b/kZP348Li4umM1mOnbsSIsWLXj22WeLvX2/fv1wd3cnJSWFW7du0bRpUx544IFCt/n3v/8NWA4SGjZsSMOGDfMd55L7ucvOzqZNmzYEBQWxfft2m3U8PDysYyOmTp1Ky5YtadOmTbHO+mbPno2Pjw8NGzakbdu2PPTQQwC4uLhYD4CELSkC94hhw4axevVqwsLCSEtL4+LFi7Rq1Yr58+fz1ltv5Vl/4sSJDBkyhGvXruHq6sq4ceNsdnbvvfcevXv3pnr16iQkJDB58mQefPDBIuN46aWXGDFiBO7u7ly/fp3Bgwczfvz4POv16dOHMWPG4OnpyZkzZ9i1a1eBF6Xvu+8+fvvtNx5//HEcHR05fvw4fn5+PP/882zcuBGDofQf048//pgZM2bQvHlzzp07R1ZWFl27duWnn37i4YcfLlGb58+f59SpU1y+fNm67MyZM5w6dYrr168Dlu6V2NhY+vfvj6IoXLhwgaCgIBYvXsyYMWNK/b7y4+Pjw7p162jVqhU5OTkYDIY8R9uFcXJysrmGUNhZQK4JEybwyiuv4OXlxdWrVwkNDbUeuNypZ8+eTJs2jbp163Lx4kWaNWuWpwgrisL3339P+/btsbOzIycnhyVLluDl5VVkHL1796ZLly5kZWURFxeHvb09ERER/PjjjzbdiOI2RS2LjkRRaeSeMk+dOrXMphsQQlRdciYghBA6JkVACCF0rHLfXyfumvTuCSHuhpwJCCGEjkkREEIIHZMiIIQQOiZFQAghdEyKgBBC6JgUASGE0DEpAkIIoWNSBIQQQsekCAghhI5JERBCCB2rkGkj5s+fz/79+3Fzc7M+6/TGjRu8//77XLp0iVq1avHcc89RvXr1ighHCCHE/1TImUB4eDgvvfSSzbJVq1bRsmVLZs+eTcuWLVm1alVFhCKEEOIOFVIEmjdvnucof8+ePXTp0gWALl26WB82LoQQouJoNovotWvXqFmzJmB5aHZhDzmPiYkhJiYGsDzoXAghRNmoFFNJK4pS6EOkIyIiiIiIsP6c+8Duu+Xl5WXzKEC9k3zcJrmwJfmwVRXyUbdu3XyXa3Z3kJubG1euXAHgypUruLq6ahWKEELolmZFoF27dmzfvh2A7du30759e61CEUII3aqQ7qBZs2Zx9OhR0tLSGDt2LE8++ST9+vXj/fffZ8uWLdZbRIUQQlQsRb0Hn0co1wTKhuTjNsmFrcLyoaoqmZmZmM3mQq/lVSWOjo5kZWVpHUaRVFXFYDDg5OSU529T0DWBSnFhWAhx78jMzMTe3h6jUT+7D6PRiJ2dndZhFIvJZCIzMxNnZ+dirS/TRggh7orZbNZVAbjXGI1GzGZzsdeXIiCEuCt66QK6l93N30iKgBBC6JgUASFElWAymXj77bcJCwujR48e9OjRgw8++MBmnQ0bNuDr68vJkycLbCcjI4MBAwaQk5MDgJ+fH926daNHjx6MHDnSut7Zs2fp06cPYWFhjB07luzs7HzbmzNnDmFhYXTq1Ilt27ZZl2/dupVOnToRFhbG3LlzrcsjIyOJiIjg7bffti6bNWsWGzZssP68adMmZsyYUay8FEWKgBCiSpg+fTpJSUls3ryZTZs2sXLlSkwmk806q1atokOHDoVOWPntt9/y8MMPWy8EOzk5sWXLFjZt2sSiRYus67355puMGTOG2NhY3NzcWLp0aZ62jh8/zurVq9myZQtLlizhpZdeIicnh5ycHF5++WUWL17M1q1bWbVqFcePH+fo0aM4OTkRExPDoUOHuH79OklJSRw4cIBevXpZ242IiGDTpk1kZGSUMmtSBIQQ95j09HSGDx9OREQE3bp1Y/Xq1WRkZLBkyRKmTZuGk5MTANWrV+f555+3bnfz5k327NnDu+++y+rVqwtsf8WKFTz00EOFxqCqKrGxsfTu3RuAgQMHsnHjxjzrbdy4kcceewxHR0fq16+Pv78/Bw4c4MCBA/j7+9OgQQMcHBx47LHH2LhxI/b29tbbb00mE3Z2drz77ru88MILNu0qisIDDzzApk2bip23gsglfiFEiZm/WYB6LqFM21T8GmIYPKbA32/duhUfHx+++uorAK5fv05CQgK+vr6FPpNk48aNhIeH06hRI2rWrMl///tfWrVqZbNOdnY2Z8+exc/Pz7osKyuLnj17YjAYiIyMpFevXly5cgU3NzfrXVJ16tQhMTExz2smJibSpk0b6893rnfnfft16tThwIEDBAYG4uHhwUMPPcSAAQNISEjAbDbTsmXLPG23bt2a3bt38+ijjxb4notDioAQ4p7SrFkzXn/9dd58800iIiIICQnJs863337Lp59+ypUrV1i9ejW+vr6sWrWKZ555BoDHHnuMVatW5SkCqampeeYx27VrF35+fpw6dYonn3ySZs2aletcZ6+//rr1/yNGjOCdd97hgw8+4OjRo3Tu3JmnnnoKsAzoS0pKKvXrSREQQpRYYUfs5aVRo0Zs2LCBLVu2MH36dB588EHGjh3L+fPnuXHjBtWrV2fQoEEMGjSIbt26YTabuXLlCrGxsfz+++8oikJOTg6KojBlyhSb2ymdnJzyjAyuU6cOAA0aNOCBBx7g8OHD9O7dm2vXrmEymTAajVy8eBEfH588sfr4+NjMcHDnegUtz7Vx40ZatWrFzZs3OXPmDB9//DFDhw6lf//+ODs7k5mZae36Kg25JiCEuKckJibi7OzMgAEDGDt2LHFxcTg7OzNkyBBefvllMjMzAcjJybHesbNu3ToGDBjA7t272bVrF3v37qV+/frs2rXLpm13d3dycnKsbVy9etVaFFJTU9mzZw9NmjRBURQ6duzIunXrAPjuu+/o2bNnnlh79uzJ6tWrycrK4uzZsyQkJBAcHExQUBAJCQmcPXuW7OxsVq9ebbP9rVu3WLBgAePHjyczM9NaqO58T/Hx8TRt2rTU+ZQzASHEPeX3339n2rRpKIqCvb299VbKyZMnM2PGDLp3746LiwtOTk4MHDiQ2rVrs2rVKiZMmGDTziOPPMKqVasIDQ21Wd6lSxd2795N586dOXHiBFFRURgMBsxmM5GRkTRp0gSAl19+mfHjxzN9+nRatGjBkCFDAPjpp584dOgQkyZNomnTpvTt25euXbtiZ2fHm2++ab3raNq0aQwdOhSz2cygQYNsduiLFi1i4MCBODs707x5czIyMujevTvdunXDzc0NgB07dvDiiy+WOp8ygZyOST5uk1zYKiwf6enpVKtWrYIjqjhxcXF88sknzJkzx7rMaDTmud1US5cuXWLChAksW7Ys39/n9zeqdA+VEUKIyqhly5aEhYVZB4tVRufPn+eVV14pk7akO0gIIf5i8ODBWodQqKCgoDJrS84EhBBCx6QICCGEjkkREEIIHZMiIIQQOiZFQAhRZXz//fdERETQtWtXIiIieOGFF7h27Zr196mpqTRo0IAvv/yy0HbGjBnDmTNnAIiOjiY4OJjAwECbdbKyshg7dixhYWH06dOHc+fO5dtWQVNGFzQV9eeff063bt0YPny4ddnu3buZOnWqdduUlBTr9BGlJUVACFElbN26lQULFvDVV1+xdetWNm7cSLt27bh06ZJ1nTVr1tCmTZtCZxH9448/MJvNNGjQAIAePXrYzOWfa+nSpbi5uREbG8uYMWN4880386xT0JTRUPBU1CtWrCAmJoa2bduybds2VFVl1qxZ/N///Z+1XU9PT7y9vdmzZ0/JknUHKQJCiHvOd999R0REBBERETz77LMAzJ49mylTpljn+rGzs2Pw4ME0btzYut3q1at55ZVXSExMLHDQ6YoVK2ymcGjbti21a9fOs95PP/3EwIEDAejduze//vorfx17W9CU0UVNRX3r1i0yMjKwt7fn+++/p2vXrtSsWdOm7V69erFixYpi56wgMk5ACFFin+5NIuFKZpm22bCmE8+0y7vTzfXHH3/wwQcf8MMPP+Dh4cGVK1cAywNc8ptyOdf58+dJSkoiODiYPn368MMPPzB27Ng86+3du5d+/foVGWdiYqJ1FK7RaMTV1ZUrV67g4eGR7zpwe8rowqaiHjlyJH379qVp06a0b9+eUaNG8fXXX+d5/VatWjF9+vQi4yyKnAkIIe4psbGx9OnTx7qz/esRMsCxY8fo0aMHHTt2tHb9rFmzhr59+wKWqaQL6hJKSkrC09OznKIv2hNPPMFPP/3EnDlzWLBgAaNHj2br1q2MGTOGqVOnYjabAcvUHvk9w+BuyZmAEKLECjtir2hNmjQhLi6OsLAw7rvvPjZt2mQzq+iqVau4dOkSK1euBCw7+/j4eAICAmzayW866fzkThNdt25dTCYT169fz1OQCppKumbNmkVORZ2YmMiBAwd47rnnGDBgAMuWLeODDz7g119/pXPnzmRlZclU0kII/QkLC2Pt2rWkpqYCWLuDIiMjeeONN2x2urkF4NSpU9y8eZN9+/axa9cudu3aRWRkZL5nA4GBgSQkFP20tJ49e/Ldd98Blqmqw8LCbJ5NABQ4ZXRxpqKeMWMGkyZNsr4PRVFQFMX6XOH4+HiaNWtWdMKKIEVACHFPadq0KRMnTuSJJ54gIiKC1157DYDu3bvz9NNPM3z4cMLDw3n00Uexs7MjPDyc1atX8/DDD9u0kzuV9F91796d3377zfrztGnTCAoKIiMjg7Zt2zJz5kzAMr/QlStXCAsL45NPPuGll14CLEfww4cPByzXCnKnjA4PD7f29YNlKupPPvmEsLAwrly5Yp2KGuDw4cMA1msc/fr1o3v37uzdu5fw8HDAMpV09+7dS51PmUpaxyQft0kubOl5KumMjAwGDhzI6tWrrXP/V7appAH69+/P559/jru7e57fyVTSQghRQs7OzrzwwgtlctG1vKSkpPD3v/893wJwt+TCsBBC/EVul0tl5enpSa9evcqkLTkTEELclXuwB1l37uZvJEVACHFXDAZDpesfF7eZTCYMhuLv2qU7SAhxV5ycnMjMzCQrKyvPLZFVlaOjY7HGDmhNVVUMBsNdjR+QIiCEuCuKouDs7Kx1GBWqKt89pnkRWLt2LVu2bEFRFPz8/Bg/fjwODg5ahyWEELqg6TWB1NRUfvzxR6Kjo5k5cyZms5kdO3ZoGZIQQuiK5heGzWYz2dnZ5OTkkJ2dne9kUEIIIcqHpt1BHh4e9O3bl3HjxuHg4EDr1q1p3bq1liEJIYSuaDptxI0bN5g5cybPPfcc1apV47333iM0NJTOnTvbrBcTE0NMTAxgedRb7iPX7lZlHPqtJcnHbZILW5IPW1UhHwVda9X0TCAuLg5vb29cXV0BCAkJ4fjx43mKQO4ThHKV9Cp9Vb7CXxKSj9skF7YkH7aqQj4q5dxBXl5enDhxgqysLFRVJS4uDl9fXy1DEkIIXdH0TCAwMJDQ0FAmT56MnZ0d/v7+Nkf8Qgghypfm4wSefPJJnnzySa3DEEIIXdL8FlEhhBDakSIghBA6JkVACCF0TIqAEELomBQBIYTQMSkCQgihY1IEhBBCx6QICCGEjkkREEIIHZMiIIQQOiZFQAghdEyKgBBC6JgUASGE0DEpAkIIoWNSBIQQQsekCAghhI5JERBCCB2TIiCEEDomRUAIIXRMioAQQuiYFAEhhNAxKQJCCKFjUgSEEELHpAgIIYSOSREQQggdkyIghBA6JkVACCF0TIqAEELomBQBIYTQMSkCQgihY1IEhBBCx6QICCGEjkkREEIIHZMiIIQQOiZFQAghdMyodQA3b97ko48+4ty5cyiKwrhx42jSpInWYQkhhC5oXgQWLlxIUFAQzz//PCaTiaysLK1DEkII3dC0Oyg9PZ1jx47RrVs3AIxGIy4uLlqGJIQQuqKoqqpq9eKnT5/m448/pl69epw5c4aAgABGjhyJk5OTzXoxMTHExMQAEB0dTXZ2dolez2g0YjKZSh13VSH5uE1yYUvyYasq5MPBwSHf5ZoWgVOnTvHyyy/zxhtvEBgYyMKFC3F2dmbw4MGFbnfhwoUSvZ6XlxeXL18u0bZVkeTjNsmFLcmHraqQj7p16+a7XNPuIE9PTzw9PQkMDAQgNDSUhIQELUMSQghd0bQIuLu74+npaT2yj4uLo169elqGJIQQuqL53UFPP/00s2fPxmQy4e3tzfjx47UOSQghdKPERSA7OxtFUbC3ty9VAP7+/kRHR5eqDSGEECVT7O6gL7/8kpMnTwKwf/9+Ro0axahRo9i7d2+5BSeEEKJ8FbsI/Prrr/j5+QGwfPlynn32Wf7973+zdOnScgtOCCFE+Sp2d1BWVhaOjo6kpaWRlJREaGgowD1/25QQQuhZsYtA3bp1+eWXX0hMTKRVq1YAXL9+vcABCEIIISq/YncHjR49mo0bN3LkyBEGDRoEwKFDh6wFQQghxL1H0xHDJSUjhsuG5OM2yYUtyYetqpCPgkYMF7s76PDhw3h7e+Pt7c2VK1dYsmQJBoOBoUOH4u7uXmaBCiGEqDjF7g767LPPMBgsq3/55Zfk5OSgKAoff/xxuQUnhBCifBX7TCA1NRUvLy9ycnI4dOgQ8+fPx2g08o9//KM84xNCCFGOil0EnJ2duXr1KufOnaNevXo4OTlhMpnu+elVhRBCz4pdBHr16sWLL76IyWRi5MiRAPz+++/4+vqWV2xCCCHKWbGLQL9+/ejQoQMGgwEfHx8APDw8GDt2bLkFJ4QQonzd1VTSuXcG7dixA7AUAW9v73IJTAghRPkr9pnA2bNneeedd7C3tyclJYWOHTty9OhRtm/fznPPPVeeMQohhCgnxT4TWLBgAYMGDWLWrFkYjZba0bx5c37//fdyC04IIUT5KvaZwJ9//kmnTp1sljk5OZX4oe9CO2rqJdQN35MV1h0aBGodjubUuL1c3RdLTkaGZjGYgc32DUgyVKN/1gmqoe1dd1cdHcjJ0vi7rYDSNgyl3YMoiqJtLFVYsYtArVq1iI+Pp1GjRtZlJ0+etF4kFpWfajajbt+AuuILyMzg6tb1KB26oAx+BqWGm9bhVTg17RrqNwtQd//MrZpe4FxNkzj+tHfnw9rdOOZsGda/3VCXfyRvo93NM5rEA2Cys4OcHM1eH4DMdNR9O1B3bsPw1FgUj1raxlNFFbsIDBo0iOjoaHr06IHJZGLlypVs2rRJBovdI9SLf2L+cg6cPAbNgzAM/jvOR/Zyc/mXqEf3owx6BiUkXBdHXKqqou7chrrsU8jIQHl0KF7D/kHKtWsVGofJrLLiaArfxqXgZFR4ttgSZAIAABfBSURBVI039VwdmbvrIm/Z96VzA1eeaeeNm1PFPwW2MsyVo5pzULesRV25GPPUSJT+I1C69EIxaPpo9CrnriaQS0hIYPPmzVy6dAlPT08iIiIICAgoz/jyJRPIFZ9quoW6YQXqum/BwQll0GiUB7qhKApeXl5cOrTfUhzi/4D722IYNg7Fs+re8aWmJGP+ah4cOQCNmmH4WyRK3foV/tk4kZLBnJ2JnLmaRVj9GoxpV5uazpad/a0cle+PpPDdkcs429sxuo034Q1dK7RAV6bvinopEfPi+XD0IDS+D8PfnkWpU69CY6hM+SipgiaQk1lEqzA14TjmL+bA+TMo7TtZun1ca1p/n5sP1ZyDunU96sqvAFAeH47S9REUg51WoZc5y1HlOtRViwEFpf9wlPBHrEeVFfXZyDSZ+frQJdb8cQV3JyNj29cmxK9GvuuevZbF3J2J/HE5g+A6Lozv4IN39dI907u4Ktt3RVVV1N+2oi77DLIyUHoPQunVH8Woz3yURKmLgMlkYtu2bZw+fZrMzEyb30VGRpY+wrsgRaBwalYm6qolqJvXgFtNS39qUEie9f6aDzUl2XLEdXg/BDS1HHH51q/I0MuFev6MpRgmHIeW7TA8NQ7F07Z/uSI+Gwcv3mT+7kSSbtziocbujAiuhYtD4YU2x6zy44krfHXwEgDDWtfikSY1sTOU71lBZf2uqNevoH7zKeqeX8C3AYYRz6I0bFLur1tZ83E3Sl0EZs2axZkzZ2jbti2Ojo42vxs4cGDpI7wLUgQKph45YOnuSElGCX8Y5fG/oVRzyXfd/PKhqirqru2o3y6w9Jc/8gTKwwNR7CvmiKssqbduoa7/DvXH5eBcDWXwGJQOnfPtVinPz0ZaVg6f709iS/x16tZwIDLEhxa17+4i9KWbt/hwdyL7LtykiacTkaF1aODuWPSGJVTZvyvqoT2Yl3wIV1NQuvdF6TcMxdGp3F6vsuejOEpdBEaNGsXcuXNxccl/h1KRpAjkpd64jrrsM9TftoKPL4bhkShNWhS6TWH5UNOuoX77Kequ7VDHz3LE1ahZeYReLtSTxzB/ORcunkMJDUd58hmUGq4Frl8enw1VVYk9m8Yne5NIy8qhf3NPBrX0xMGuZBc2VVXl59PX+XRfMum3chjQwpOBLTyxL2F7hbkXvitqRjrqii9Rt60HT28MwyegtAgul9e6F/JRlFI/VMbLy4tbt26VWUCibKiqirrnF9RvFkD6DZRHnkTp8ySKfeme/azUcEN55nnUkC6YF8/H/M5klK69UR4fhuKkza2UxaFmpqOu+MqyY6jpheGfU1Hub1vhcVxOv8VHu5PYc/4GjTyceK2bHw1rlu5IVVEUujR0I7iOC5/tS+bbuBRiz6QRGerDfbUq79+kvCjO1VCeGovaoTPmL+dgnjUV5YGuKE+ORqlecMEXtop9JrBmzRp27tzJww8/nOdJYvfff3+5BFcQOROwUFMvW06J/7sH/AMxjIhEqdew2NsXNx9qZjrqysWoW9dZdqzDxqO0rPgda1HUuL2WaxpXUlC69bF0ETg5F2vbsvpsmFWVjSeu8sWBS+SoKk+19qJvU49y6cPfd/4GH+5O5HK6iUeauDMsqBbV7MvmYv699l1Rb2WjrluGuuF7qFbd0vXXvlOZ3VF1r+UjP6XuDpowYUL+DSgKc+fOLXlkJaD3ImAz6Mucg/LYMJSIvnd9N8/d5sOmiyWki2VsQSUYZGYZ9PUp6u7tULe+5bbPu+y6KovPxp/Xs5i3M5GjlzJo5VON8R18qFOjdGdkRUm/lcOSQ5dZ98cVPKsZGdfBh3a+1Uvd7r36XVH/TMD8xVw4fQJatbfcBODhVep279V83EluEaVq/CEtg77mwsmjlkFfw8aj1CrZqO2S5EO9dQv1x+9Q1//vYuugZywFQYNBZpaL2NtQv/3foK9HBlouZJfgtsHSfDZMZpWV/xv05WBUeLqNN90D3Co0J79fymDuroucu5ZNZ39XnmlbukFm9/J3RTXnoG5ea7kd2GAok0Fm93I+chVUBOxeffXVV4vTwPTp0wkLC8uz/N1336Vjx46lCu5upaWllWi7atWqkZ6eXsbRVAzVdAt1/XLUT9+F9Jsow8ZhGPg0ikv+95gXR0nyodjZoTRtiRL8AOrJo7BlLWrCCZTA5gXehVQe1JRkzAvehY0rwS8Aw8RXMLR7sMRjG0r62TiRksG0bX/y85k0HvCrwZRwP1p4V6vwoujlYk+PRu7YKQobT17hp1PX8HA20sDdsUSx3MvfFUUxoDRqhtKhM+q5BMtn9PdDKI3uK/TmgMLcy/nIVaNG/vuKYh8qHDly5K6Wi7JT1KAvLSi+9TFMjrYOMjNPjbTcjtr14XIdZJZn0NeQv9sM+qoofx309VJn3wIHfVUUezuFwa286NigBnN3JvL+jotsS7heoYPMKhOllg+G/3vNOsjM/PrECh9kdi8osgh8++23gGWwWO7/cyUlJVGrlkzqVF7yDPqa8HK+g760ohjsULr3RQ0Kwbx4Puo3n6Du+dk6FUNZU8+fxfzFbMugr/vbWrrCPCv+81eSQV8Vqb6bI2/3qG8dZPbsuvgKG2RW2SiKgtKxG+r9wZbrRquXoO79tcIGmd0LirwmMH/+fAB++eWXPFNJu7u7061btwqfSVQP1wTuZtBXSZVlPvIOMit5/3yetu9i0FdJFScXlkFfyWyJv1biQV8V7a+DzJ4NrUP9Ygwyu5e+K3dDPbQb8+IP4dqV/w0ye6pYg8yqQj5KfWE4JiaGiIiIMg2qpKpyEbAM+voc9bctxR70VVLlMkDqzkFmJbxTx6a9uxz0VVKFDpwr40FfFa0kg8zuhe9KSVkGmX2Buu3HYg8yqwr5KFERSE5Otj5DOCkpqcDGa9euXcrw7k5VLAKqqqLu/RV16SeWQV8PDSiTQV+FKc98lOaefchn0Fc5j00oKBcp6bf4aE8Su/+0DPp6NtSn1IO+tHI908Rn+5LZdvo69VwdCh1kVpm/K2VFPXHUMoNu4nnLzLpPPl3gILOqkI8SFYG//e1vzJ49G3d3dwYNGlRg43+9VlDeqloRUFMvY/76Izi0u0SDvkqqvPORZ5DZ8PHFGr2bt4A8Ve6jlP+ai9xBX18evITJrDK0lRePNiufQV8VrTiDzCrrd6WsqbeyUdcuQ934v0FmQ/6e75PMqkI+StwdNGLECL744gvrzzNmzGDSpEllGpzZbCYqKgoPDw+ioqKKXL+qFAHVbEb9eQPq96Ub9FVSFZWPvIPMxuTbpWMz6KuC5yu6MxdaDPqqaEUNMqts35XyZjPIrHUHDEPH2gwyqwr5KPHcQX+tEUePHi2biO6wfv16fH19ydDwGa8VrSwHfVV2SuP7MEyZZR1kph45YHNxN8+gr75Dyuyi8t3466CvZ0N9KnzQV0WpZm/HmHa16dTAlbm7LvLGtj/LZJDZvUqp1xDDi9Otg8zMUyfo5klmRf61y/sLkJKSwv79++nfvz9r164t19eqDPI86WvUP61P+qrKFHt7lEeHorZ9EPOXc1A/nYm6azuGR57AvG6Z5RkGdzzpq6IdS0pj2obTnM7nSV9VWbNazrz/cEPrk8wOXLzJM229GeDpqXVoFU4x2KH0eOz2Lc9ff4S623LLM16ln3qisiqyO2jYsGE2XTT5dQeVZgK5mTNn8vjjj5ORkcGaNWvKrTtoxhebOYi2A6wAUP/3j9EexcERNNz5KwYDqtmsyWurt25BdhaWhCjg4KjpMwtuZJup6Vz4k76qujufZFbdwQ6Fe25GmTKlmkyQnQmqqun39E7vdKpFvQC/Em1b4u4gNzc3PvzwQ+vP1atXt/m5NBPI7du3Dzc3NwICAgodeRwTE0NMTAwA0dHReJWgKrfxdcUjNY3KMFOSXa3a2HnX0ToMDIoBs6pNEQBQ029iOn8GYz1/FGdt77f3cHHkiVY+VHes+kf/BfHyggUN67LuaBLxKRmafjYqCzUrE9Ppk5BjqhT7Dl+/oBLt/wqj6QRyX3/9NT///DN2dnZkZ2eTkZFBhw4dmDhxYqHbVZULw1qTfNwmubAl+bBVFfJR6ofKlIehQ4cydOhQwDIH0Zo1a4osAEIIIcpO1b7sLYQQolCVpgO0RYsWtGhRPtMjCCGEyJ+cCQghhI5JERBCCB2TIiCEEDomRUAIIXRMioAQQuiYFAEhhNAxKQJCCKFjUgSEEELHpAgIIYSOSREQQggdkyIghBA6JkVACCF0TIqAEELomBQBIYTQMSkCQgihY1IEhBBCx6QICCGEjkkREEIIHZMiIIQQOiZFQAghdEyKgBBC6JgUASGE0DEpAkIIoWNSBIQQQsekCAghhI5JERBCCB2TIiCEEDomRUAIIXRMioAQQuiYFAEhhNAxKQJCCKFjUgSEEELHpAgIIYSOSREQQggdkyIghBA6ZtTyxS9fvsy8efO4evUqiqIQERHBI488omVIQgihK5oWATs7O4YPH05AQAAZGRlERUXRqlUr6tWrp2VYQgihG5p2B9WsWZOAgAAAnJ2d8fX1JTU1VcuQhBBCVzQ9E7hTcnIyCQkJNG7cOM/vYmJiiImJASA6OhovL68SvYbRaCzxtlWR5OM2yYUtyYetqpwPRVVVVesgMjMzmTp1Kv379yckJKTI9S9cuFCi1/Hy8uLy5csl2rYqknzcJrmwJfmwVRXyUbdu3XyXa353kMlkYubMmXTq1KlYBUAIIUTZ0bQIqKrKRx99hK+vL3369NEyFCGE0CVNrwn88ccf/Pzzz9SvX59JkyYBMGTIENq0aaNlWEIIoRuaFoFmzZqxbNkyLUMQQghd0/yagBBCCO1IERBCCB2TIiCEEDomRUAIIXRMioAQQuiYFAEhhNAxKQJCCKFjUgSEEELHpAgIIYSOSREQQggdkyIghBA6JkVACCF0TIqAEELomBQBIYTQMSkCQgihY1IEhBBCx6QICCGEjkkREEIIHZMiIIQQOiZFQAghdEyKgBBC6JgUASGE0DEpAkIIoWNSBIQQQsekCAghhI5JERBCCB2TIiCEEDomRUAIIXRMioAQQuiYFAEhhNAxKQJCCKFjUgSEEELHpAgIIYSOSREQQggdM2odwMGDB1m4cCFms5nu3bvTr18/rUMSQgjd0PRMwGw289lnn/HSSy/x/vvvExsby59//qllSEIIoSuaFoGTJ0/i4+ND7dq1MRqNdOzYkT179mgZkhBC6IqmRSA1NRVPT0/rz56enqSmpmoYkRBC6Ivm1wSKIyYmhpiYGACio6OpW7duidsqzbZVkeTjNsmFLcmHraqaD03PBDw8PEhJSbH+nJKSgoeHR571IiIiiI6OJjo6ulSvFxUVVartqxrJx22SC1uSD1tVOR+aFoFGjRpx8eJFkpOTMZlM7Nixg3bt2mkZkhBC6Iqm3UF2dnY8/fTTvPnmm5jNZrp27Yqfn5+WIQkhhK5ofk2gTZs2tGnTpkJeKyIiokJe514h+bhNcmFL8mGrKudDUVVV1ToIIYQQ2pBpI4QQQsc07w6qKDI9hcXly5eZN28eV69eRVEUIiIieOSRR7QOS3Nms5moqCg8PDyq9J0gxXHz5k0++ugjzp07h6IojBs3jiZNmmgdlibWrl3Lli1bUBQFPz8/xo8fj4ODg9ZhlSldFIHc6Sn+85//4OnpyYsvvki7du2oV6+e1qFVODs7O4YPH05AQAAZGRlERUXRqlUrXebiTuvXr8fX15eMjAytQ9HcwoULCQoK4vnnn8dkMpGVlaV1SJpITU3lxx9/5P3338fBwYH33nuPHTt2EB4ernVoZUoX3UEyPcVtNWvWJCAgAABnZ2d8fX11P0o7JSWF/fv30717d61D0Vx6ejrHjh2jW7duABiNRlxcXDSOSjtms5ns7GxycnLIzs6mZs2aWodU5nRxJpDf9BQnTpzQMKLKITk5mYSEBBo3bqx1KJpatGgRw4YNk7MALJ8JV1dX5s+fz5kzZwgICGDkyJE4OTlpHVqF8/DwoG/fvowbNw4HBwdat25N69attQ6rzOniTEDklZmZycyZMxk5ciTVqlXTOhzN7Nu3Dzc3N+vZkd7l5OSQkJBAz549mT59Oo6OjqxatUrrsDRx48YN9uzZw7x58/j444/JzMzk559/1jqsMqeLIlDc6Sn0wmQyMXPmTDp16kRISIjW4Wjqjz/+YO/evUyYMIFZs2Zx+PBhZs+erXVYmvH09MTT05PAwEAAQkNDSUhI0DgqbcTFxeHt7Y2rqytGo5GQkBCOHz+udVhlThfdQXdOT+Hh4cGOHTuYOHGi1mFpQlVVPvroI3x9fenTp4/W4Whu6NChDB06FIAjR46wZs0a3X42ANzd3fH09OTChQvUrVuXuLg43d404OXlxYkTJ8jKysLBwYG4uDgaNWqkdVhlThdFQKanuO2PP/7g559/pn79+kyaNAmAIUOGVNiobVH5Pf3008yePRuTyYS3tzfjx4/XOiRNBAYGEhoayuTJk7Gzs8Pf379KjhyWEcNCCKFjurgmIIQQIn9SBIQQQsekCAghhI5JERBCCB2TIiCEEDomRUCICvLLL78wbdo0rcMQwobcIiqqlAkTJnD16lUMhtvHN+Hh4YwePbpC40hOTiYyMpKlS5diZ2dXoa8txN3QxWAxoS+TJ0+mVatWWochxD1BioDQhQULFnDt2jVeeOEFABYvXkx8fDxTpkzBZDKxdOlSfvvtN0wmE+3bt2fkyJHWh4fs2bOHZcuWWWfYHD16NEFBQUyYMIF//OMf1oKzbNkyEhMTmThxIlOnTgVg5MiRAEyZMoULFy6wefNm3njjDcAyenvRokXWKRpGjhxJ06ZNAXj11Vdp1qwZR44c4cyZMzRp0oSJEyfi6upKdnY2H330EQcPHsRsNlOnTh0mT56Mu7t7RaZUVBFyTUDowt/+9jfOnTvHtm3bOHbsGFu3bmXChAkoisKSJUu4ePEiM2bMYPbs2aSmprJ8+XLA8iyKuXPnMnz4cBYuXMhrr71GrVq1iny91157DbBMU/3VV1/leTLXjRs3iI6O5uGHH+bzzz+nd+/eREdHk5aWZl0nNjaWcePG8emnn2IymVizZg0A27dvJz09nQ8//JDPP/+cMWPGVLmnXYmKI2cCosqZMWOGTT/8sGHDiIiIIDIykrfeegtnZ2dGjRqFp6cnqqqyefNmZsyYQfXq1QHo378/H3zwAUOHDmXLli107drVerRfVrPP7t+/Hx8fHzp37gzAgw8+yI8//si+ffusT64KDw+nbt26ADzwwAPs3bsXsMyFdePGDRITE2nQoIFMgy1KRYqAqHImTZqU7zWBwMBAateuzbVr1+jYsSMA169fJysry+a5wqqqYjabAcu048HBwWUeY2pqap4zilq1atk85e3O7h1HR0cyMzMB6Ny5MykpKcyaNYv09HQ6derE4MGDMRrl6yzunnxqhG5s2LCBW7du4eHhwerVq3n88cepUaOG9fmx+R3le3p6kpiYmG97jo6OZGdnW3++evWq9f+KohQai4eHB7t27bJZdvnyZYKCgop8H0ajkYEDBzJw4ECSk5N5++23qVu3rvWRkELcDbkmIHThwoULfPvttzz77LNERkbyww8/cPr0aQwGA927d2fRokVcu3YNsBylHzx4EIBu3bqxbds24uLiMJvNpKamcv78eQD8/f2JjY3FZDJx6tQpm526q6sriqKQlJSUbzzBwcFcvHiRX3/9lZycHHbs2MGff/5ZrCm9Dx8+zNmzZzGbzVSrVg2j0Vhk0RGiIHImIKqcd955x2acQKtWrUhNTeWxxx7D398fsDxDYc6cOURHR/PUU0+xfPlyXn75ZdLS0vDw8KBHjx4EBQXRuHFjxo8fzxdffEFycjJubm6MHj0aX19fBg0axAcffMCoUaNo3rw5YWFh3LhxA7CcJfTv358pU6aQk5PDSy+9ZBNjjRo1iIqKYuHChSxYsAAfHx+ioqJwdXUt8v1dvXqVBQsWkJqaipOTEw888ID12oIQd0sGiwkhhI5Jd5AQQuiYFAEhhNAxKQJCCKFjUgSEEELHpAgIIYSOSREQQggdkyIghBA6JkVACCF0TIqAEELo2P8DgnpQZleduuMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEmCAYAAACEQCxyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3de2BMZ/4G8GeSSTK5SCIzuchFIsS1IhSxUgSRpWIRVQRtsLZutb9uWVndUlsqpVpV19qWKlWqKihSIaho466hLkVcIwlJBLmazPv7I5vDyFUkOZHzfP6SkzPvfOfNmGfO+57zHpUQQoCIiBTJRO4CiIhIPgwBIiIFYwgQESkYQ4CISMEYAkRECsYQICJSMIYAlUmlUkGlUuG9996rkvauXLkitbl69eoqabMqXb58GX/+859hZ2cHlUoFPz8/2Wqp6r5/sr19+/ZJ2/bt21fhdlavXi097sqVK8+8X2XV9vfS84IhILPAwEDpjaxSqWBqago3Nzf069cPhw4dkru8Snvvvfek1/Q4CwsL+Pv7w9/fH46OjjJVV7p//OMf+Omnn5CdnY327dvD19e31H2PHTuGAQMGwNXVFRYWFnByckJwcDD27NljtN/FixfxyiuvwMHBARqNBu3atcP69evLraWon9zd3Z/5dZXE1tZWeg5bW9sKP87R0VF6nIWFRbXURjVHLXcBVMjc3Bxt27ZFXl4eTp8+je3bt2PXrl2Ii4tDx44d5S6vyjRo0AC//vqr3GWU6syZMwCAwYMH45tvvil1v/T0dPTs2ROZmZmwtrZGq1atcOHCBezevRuxsbG4dOkSGjZsiFu3biEgIACpqamwtbWFq6srTpw4gbCwMOTk5GD06NGlPkd191O7du0q9Rx9+/ZF3759q6EikgOPBGqJog/HEydOYMuWLQAAvV5v9EG0detWdOnSBTY2NtBoNGjTpg2WLVuGxy/6Lvr2HRERgQkTJqB+/fqwt7fHpEmTkJ+fX2y/x4caio5KAgMDS60zKysLAwYMQKNGjWBtbQ0LCwv4+PhgxowZUvuBgYGYNWtWsedavXp1qYfwp0+fRmhoKHQ6HczNzdGoUSNMmTIFDx48KLG+JUuWwMvLC/Xq1UNISAiSk5PL7N+CggIsWLAArVq1goWFBWxtbdGjRw/pW3tRXRcvXgQArF+/HiqVCuHh4SW299tvvyEzMxMAsHLlShw/fhwrV64EUPh3S0pKAgDMnTsXqampqFevHs6ePYvLly9j0KBBAIBp06YZ/U2eVNbwzerVqxESEgIrKys0atQIX3zxhdFjf/75Z/j5+UGj0aBt27aIi4sr1v6Tw0G//vqr9PPRo0el/TZt2iQdpV6/fr3EYR4hBGbNmgUnJyfY2Nhg5MiRUv88Ljw8HCqVCl5eXtK2ktrbtWsXunTpAicnJ5ibm8PW1hZdunTBzp07S+0voPD9OXHiRDRs2BAajQZarRb+/v74+OOPy3ycogmSVbdu3QQA4enpKW3bvn27ACAAiL///e9CCCG+/vpraZuTk5Pw8vKSfo6IiJAeW7TNwsJC6HQ6o/2mTp1abL+ZM2cWq6Vbt26l7nf79m0BQDg7Ows/Pz/h7u4u7TNlyhQhhBDjx48Xbm5u0nZ/f3/h7+8vtm/fLhITE6Xtq1atEkII8fvvvwsbGxsBQFhbW4sWLVoIExMTAUB07txZFBQUGNVnZmYmNBqN8PHxkdoKCwsrs5/HjBkj7du4cWOh1WoFAGFiYiJ27NghkpKShL+/vzA3NxcAhE6nE/7+/uI///lPie3duXNH2NnZSTW3a9dOWFtbCwsLC/HWW29J+zVp0kQAEMHBwdK2devWSbXExcWVWvOTfR8bGyttMzMzE15eXsLW1lZ6HWfPnhVCCJGcnCz1p0ajES1atJD2K6292NhYIYQQzZs3FwDE22+/LdURGhoqAIigoCAhhBCrVq2SHpeYmCiEEGLJkiXStgYNGgg3NzdhbW1dbL/XX3+92Pu9pPbmz58vzMzMhLe3t2jbtq30etRqtTh58qQQQpT4XvrHP/4hAAhzc3PRtm1b4e3tLdRqtejZs2ep/ax0DAGZFX2wmZubC39/f+Hn5yfUarX0hv/111+FEEI0bNhQABDt27cXOTk5wmAwiKFDh0ofCGlpaUKIRx8czZo1Ew8ePBAGg0EMHDhQ+kDIysoy2u9pQyAvL0+cOXPG6DWMGDFCABDu7u7StpkzZ0qPfVxJ/3Ffe+016cP0ypUrQgghli1bJu23detWo/pMTEykD4Ki1+bs7FxqH1+8eFGoVCoBQEycOFEIIcS9e/ekEGnXrp20r6enpwAgXn/99VLbK5KQkCC8vb2lOov6YM2aNdI+FhYWAoAYMWKEtC0mJkbaf/369aW2X9aH9iuvvCIMBoM4deqUtG3ZsmVCCCFmzJghAAiVSiWOHz8uhBBi5cqVFQqBuXPnCgDCw8NDGAwGce/ePaHRaAQAsW7dOiFEyR/aRe/Pjh07iry8PPHw4UMRGBhY6RBITEwUGRkZ0j7p6emiXr16AoD497//Le3z5HspJCREADAK78zMTHH48OFy/prKxeGgWiI/Px/x8fH47bff4OjoiL59+2L//v3w9/dHamoqrl27BgAYOHAgNBoNVCoVhg0bBgB4+PAhTp06ZdRe3759YW1tDZVKhcGDBwMAcnNzcenSpWeq09TUFGvXrkXTpk1hYWEBlUqFtWvXAoA0BPK0jhw5AgDo3LkzPD09AQBhYWHS7x8fmgCA1q1bo02bNgCAli1bAgBSUlJKbf/YsWPSkFlRu0XDSABw8uRJFBQUPFXNWVlZGDVqFC5fvowPPvgAWVlZWLx4MW7cuIHXXnsNBw8eLPWxRbU8i+HDh0OlUkmvH3jUBwkJCQAAHx8ftG3bFgAwZMiQCrU7cuRImJiY4Pr164iLi8OWLVuQm5sLOzs7DBw4sMTH3Lt3T3p/DhgwAObm5lCr1QgNDa3068vPz0d4eDicnJxgamoKBwcH3L9/H0DZ77N+/foBAGbMmIGGDRsiKCgI8+bNq5UnIdQWnBiuJTw9PavlNLryPP7hV9IY7pMiIyMxd+5cAIU1u7i44MaNG7h58yYMBkO11fk4e3t76d9qtTxv4W+++UYKp7/+9a+wsrLC6NGjMWnSJABATEwMXnrpJXh4eODixYtITU2VHvv4vxs2bFip5y/qg8dff1WEi5ubG3r16oXo6Gh8++23SExMBFAYIpaWls/cftHZYuW97/r27YuLFy9CrVajdevW0Gg0OHHiBPLz88sM7L/97W9o3rw5tm7dioSEBBw7dgx79uzBqlWrcOHCBVhbWz/za6hreCTwHHBycpI+LH744Qfk5uZCCCGdZmhmZiZ9My6yY8cOZGdnQwiBTZs2AQA0Gg0aN24stQlAOjK4ePEiTp8+XW4tRWeTNG3aFFeuXEFcXFyx5wYAKysr6d9ZWVllttmhQwcAwKFDh3D16lUAMJoQb9++fbl1leXFF1+UPnyK+uz+/fvYvn07AMDPzw+mpqZP1ebjH1yHDx8GYHzEUvRh07t3bwDAL7/8In2D3bx5MwBAp9M982sryQsvvACg8G968uRJAMB3331X4ccXTYZ/++232L17t9G2ktja2sLDwwNA4ckL+fn50Ov1+OGHH4rtW/S+S01Nxf3792EwGBAVFWW0T1pamjRB/5///AcnT57Et99+W+x045IcPnwYrVq1wkcffYTo6Gjpb5yUlIRz586V+3hFknUwikqcGC7J4xPDzs7O5U4MW1tbC0dHR6P9iiZuhRBi2LBh0vauXbsKrVYrTcaWNScwffp0aZuXl5dwc3MTDg4Oxcb/o6KipG2enp7C399fXLp0qUITwy1btixzYvjx+kqbe3hSeRPDRSo6J3D27FlpEtnMzEy0bt1aGju3srISly9fFkIIcePGDaHT6QQAYWtrKxo1aiTV8fnnn5f5HE/2fUlj+CXtd+vWLWlS1tLSUrRs2VJYWVlVuL2cnBxhb29vNL/0uJLG8D/77DNpm6urq3B3d5fmQx7fLzo6WtrWpEkT0bp1a+lvXbSfwWCQTjgwMzMTL7zwgqhfv770mor+NiW9l4YPHy7UarXw8vIS7dq1kybEra2tjeYY6BEeCTwnRowYgaioKAQEBOD+/fu4desWfH19sXTpUnzwwQfF9p88eTKGDRuGzMxM2NraYvz48Zg9e7b0+48//hh9+/aFjY0NEhMTMW3aNLz00kvl1jF9+nS8/vrrsLe3x7179zB06FBMmDCh2H4hISEYO3YstFotrl69ivj4eGRnZ5fYZosWLfDLL79g4MCBsLCwwIULF+Dh4YG3334b0dHRMDF59rfpihUrMH/+fLRs2RLXr19HXl4eunfvjp9++gl9+vR56vaaN2+O/fv3o3///nBycsL58+eh1WoRGhqKQ4cOoVGjRgAKh1fi4uIQGhoKlUqFpKQk+Pn5Ye3atRg7duwzv66SuLi44Mcff4Svry8KCgpgYmJS7Nt2WTQajdEcQllHAUUmTpyIGTNmQKfT4e7du+jUqRPmzJlTbL/g4GDMnj0brq6uuHXrFpo3b270vgQKh4y+//57dOjQAaampigoKMC6deug0+nKraNv377o1q0b8vLykJCQADMzMwQFBWHnzp1Gw4j0iEoI3lmsLik6ZJ45c2aVLTdARHUXjwSIiBSMIUBEpGA8RbSO4egeET0NHgkQESkYQ4CISMEYAkRECsYQICJSMIYAEZGCMQSIiBSMIUBEpGAMASIiBWMIEBEpGEOAiEjBamTZiKVLl+L48eOws7PDggULAAAPHjzAJ598gtu3b8PR0RFvvfUWbGxsaqIcIiL6nxo5EggMDMT06dONtm3ZsgWtW7fGokWL0Lp1a2zZsqUmSiEiosfUSAi0bNmy2Lf8I0eOoFu3bgCAbt26STcbJyKimiPbKqKZmZmoX78+gMKbZpd1k/OYmBjExMQAKLzRORERVY1asZS0SqUq8ybSQUFBCAoKkn4uumH309LpdLhz506lHlsXsT8eYV8YY38Yqwv94erqWuJ22c4OsrOzQ0ZGBgAgIyMDtra2cpVCRKRYsoVA+/btsX//fgDA/v370aFDB7lKISJSrBoZDlq4cCF+//133L9/H+PGjcOrr76KAQMG4JNPPsHevXulU0SJiKhmqcRzeD9CzglUDfbHI+wLYzqdDrdv30Zubi4MBkOZc3ZKYGFhgby8PLnLKJcQAiYmJtBoNMX+ZqXNCdSKiWEiqn1yc3NhZmYGtZofE2q1GqampnKXUSF6vR65ubmwtLSs0P5cNoKISmQwGBgAzyG1Wg2DwVDh/RkCRFQipQ8BPc+e5m/HECAiUjCGABE9V/R6PebOnYuAgAD06tULvXr1wqeffmq0z65du+Dm5oaLFy+W2k5OTg4GDRqEgoICAMDw4cPRokULvPbaa0b7Xbt2Db1790ZAQADGjRuH/Px8AEBeXh7GjRuHgIAAhISE4Pr16yU+T2xsLLp06YKAgAAsXrzYqN2QkJBi7X755Zfo0aMHRo4cKW07fPgwZs6cKT02LS0Nw4cPr2iXlYkhQETPlXnz5iElJQV79uzB7t278cMPP0Cv1xvts2XLFnTs2LHMhSk3bNiAPn36SBO+48aNKxYmADBnzhy88cYbiIuLg52dHdavXw8AWL9+Pezs7BAXF4exY8dizpw5xR5bUFCAd955B2vXrkVsbCy2bNmCCxcuSO2OHTu2WLubN29GTEwMXnzxRezbtw9CCCxcuBD/93//J7Wr1Wrh5ORUJWuuMQSIqFbKzs7GyJEjERQUhB49eiAqKgo5OTlYt24dZs+eDY1GAwCwsbHB22+/LT0uKysLR44cwUcffYSoqKhS29+8eTP+/Oc/Sz936dKl2EKXQgjExcWhX79+AIDBgwcjOjoaAPDTTz9h8ODBAIC+ffvi4MGDePKM+xMnTsDLywuenp4wNzdH//79ER0dLbXbt2/fYu0CwMOHD5GTkwMzMzN8//336N69u7TWWpHevXtj8+bNFevMMnDqn4jKZfh2JcT1xCptU+XRCCZDx5b6+9jYWLi4uODrr78GANy7dw+JiYlwc3Mr894j0dHRCAwMROPGjVG/fn389ttv8PX1NdonPz8f165dg4eHR5k1ZmRkwM7ODmq1Gnq9Hg0aNEBycjIAIDk5WTr3Xq1Ww9bWFhkZGXBwcJAe//g+ANCgQQOcOHHCqN2i7UXthoeHo1+/fmjWrBk6dOiAUaNG4ZtvvilWm6+vL+bNm1dm/RXBIwEiqpWaN2+OAwcOYM6cOYiPjy9xfbENGzagV69eaN++PW7evAmgcCiof//+AID+/fuXOCSUnp5ea9cre+WVV/DTTz/hs88+w8qVKzFmzBjExsZi7NixmDlzpnT6p06nk4LjWfBIgIjKVdY39urSuHFj7Nq1C3v37sW8efPw0ksvYdy4cbh58yYePHgAGxsbDBkyBEOGDEGPHj1gMBiQkZGBuLg4nDt3DiqVCgUFBVCpVHj33XeNTpvUaDQVugK4fv36yMzMlOYcbt26BRcXFwCAi4sLkpKS4OrqCr1ej3v37hUbsinap0jR4x9vV61WG7VbJDk5GSdOnMBbb72FQYMGYePGjfj0009x8OBBdO3aFXl5edKQ2LPgkQAR1UrJycmwtLTEoEGDMG7cOCQkJMDS0hLDhg3DO++8g9zcXACFk69FZ9H8+OOPGDRoEA4fPoz4+HgcPXoUDRs2RHx8vFHb9vb2KCgokNoojUqlQufOnbFt2zYAwHfffYfg4GAAQHBwML777jvpeQMCAoqdn+/n54fExERcu3YN+fn5iIqKQnBwsNTujz/+WKzdIvPnz8fUqVMBFF69XbTkfk5ODgDg8uXLaN68+dN1agkYAkRUK507dw4hISHo1asXPvnkE/z9738HAEybNg3Ozs7o2bMngoODMXDgQAwePBjOzs7YsmUL+vTpY9TOyy+/XOKQULdu3XD48GHp54EDB0pnARWdmQMA77zzDpYvX46AgABkZGRg2LBhAIChQ4ciIyMDAQEB+Pzzz6Vb6CYnJ2PkyJEACucKZs+ejbCwMAQGBkpj/UXtfv7558XaBYDTp08DAFq3bg0AGDBgAHr27ImjR48iMDAQAHDo0CH07NnzmfoY4AJyisb+eIR9YUyn0+HatWuwsrKSu5Rqk5CQgM8//xyfffZZufsWTQzXJqGhofjyyy9hb29f7HfZ2dnF/na17qYyRERyat26NQICAqSLxZ4naWlp+Nvf/lZiADwtTgwTkWINHTpU7hIqRavVonfv3lXSFo8EiIgUjCFARKRgDAEiIgVjCBARKRhDgIieO99//z2CgoLQvXt3BAUFYcqUKcjMzJR+n56eDk9PT6xZs6bMdsaOHYurV68CAKKioqQ2H18RNC8vD2PHjn3ul4wuDUOAiJ4rsbGxWLlyJb7++mvExsYiOjoa7du3x+3bt6V9tm3bhnbt2pW5iuj58+dhMBjg6emJ9PR0zJ49Gxs2bEBsbCxSU1Px888/AyhcMtre3v65XzK6NAwBIqq1vvvuOwQFBSEoKAhvvvkmAGDRokV499130aBBAwCAqakphg4diiZNmkiPi4qKwowZM5CcnFzqxaWbN2+Wlmq4du0aGjVqBK1WC6BwWekdO3YAKFwy+tVXXwXwfC8ZXRpeJ0BE5frv0RQkZpS9zs7TalRfg7+2dy719+fPn8enn36KrVu3wsHBARkZGQCACxcuSMsplOTmzZtISUlB27ZtERISgq1bt2LcuHHF9jt69CgGDBgAAPDy8sKlS5dw/fp1NGjQANHR0dIQTXJyMtzc3AA830tGl4ZHAkRUK8XFxSEkJET6sH3yGzIAnD17Fr169ULnzp2loZ9t27ZJN4Hp379/qUNCKSkp0jd/e3t7zJ07F+PHj8fAgQPh7u4u3XGsutT0ktGl4ZEAEZWrrG/sNa1p06ZISEhAQEAAWrRogd27dxutKrplyxbcvn0bP/zwA4DCD/vLly/D29vbqJ0nl5MODg6WhofWrl0rhYCLiwtu3rwJJyen53rJ6NLwSICIaqWAgABs374d6enpACANB02aNAnvv/++0YduUQBcunQJWVlZOHbsGOLj4xEfH49JkyaVeDTg4+ODxMRHd0srWkDw7t27+Oqrr6RVPYODg7Fx40YAz/eS0aVhCBBRrdSsWTNMnjwZr7zyCoKCgjBr1iwAQM+ePTF69GiMHDkSgYGB+Mtf/gJTU1MEBgYiKiqqwktJ9+zZE7/88ov084wZMxAYGIgBAwZg0qRJaNy4MYC6s2R0abiUtIKxPx5hXxhTwlLSOTk5GDx4MKKiosod/5dzKemylowuDZeSJiIqh6WlJaZMmVKtk67PqiqXjC4NJ4aJSLGKhlxqq6pcMro0PBIgohI9hyPF9D9P87djCBBRiUxMTGrdLRWpfHq9HiYmFf9o53AQEZVIo9EgNzcXeXl5xU6JVBoLCwujawpqKyEETExMnuq6AoYAEZVIpVLB0tJS7jJqhbp89pjsIbB9+3bs3bsXKpUKHh4emDBhAszNzeUui4hIEWSdE0hPT8fOnTsRGRmJBQsWwGAw4NChQ3KWRESkKLJPDBsMBuTn56OgoAD5+fklLhJFRETVQ9bhIAcHB/Tr1w/jx4+Hubk52rRpgzZt2shZEhGRosi6bMSDBw+wYMECvPXWW7CyssLHH3+MTp06oWvXrkb7xcTEICYmBgAQGRkprfP9tOS89Ls2Yn88wr4wxv4wVhf6o7S5VlmPBBISEuDk5ARbW1sAgL+/Py5cuFAsBIruLFSksrP0dXmGvzLYH4+wL4yxP4zVhf6olWsH6XQ6/PHHH8jLy4MQAgkJCdIdfIiIqPrJeiTg4+ODTp06Ydq0aTA1NYWXl5fRN34iIqpesl8n8Oqrr0o3cSYiopol+ymiREQkH4YAEZGCMQSIiBSMIUBEpGAMASIiBWMIEBEpGEOAiEjBGAJERArGECAiUjCGABGRgjEEiIgUjCFARKRgDAEiIgVjCBARKRhDgIhIwRgCREQKxhAgIlIwhgARkYIxBIiIFIwhQESkYAwBIiIFYwgQESkYQ4CISMEYAkRECsYQICJSMIYAEZGCMQSIiBSMIUBEpGAMASIiBWMIEBEpGEOAiEjBGAJERArGECAiUjCGABGRgjEEiIgUTC13AVlZWVi+fDmuX78OlUqF8ePHo2nTpnKXRUSkCLKHwKpVq+Dn54e3334ber0eeXl5cpdERKQYsg4HZWdn4+zZs+jRowcAQK1Ww9raWs6SiIgURSWEEHI9+ZUrV7BixQq4u7vj6tWr8Pb2Rnh4ODQajdF+MTExiImJAQBERkYiPz+/Us+nVquh1+ufue66gv3xCPvCGPvDWF3oD3Nz8xK3yxoCly5dwjvvvIP3338fPj4+WLVqFSwtLTF06NAyH5eUlFSp59PpdLhz506lHlsXsT8eYV8YY38Yqwv94erqWuJ2WYeDtFottFotfHx8AACdOnVCYmKinCURESmKrCFgb28PrVYrfbNPSEiAu7u7nCURESmK7GcHjR49GosWLYJer4eTkxMmTJggd0lERIpR6RDIz8+HSqWCmZnZMxXg5eWFyMjIZ2qDiIgqp8LDQWvWrMHFixcBAMePH8eoUaMwatQoHD16tNqKIyKi6lXhEDh48CA8PDwAAJs2bcKbb76Jf/7zn1i/fn21FUdERNWrwsNBeXl5sLCwwP3795GSkoJOnToBwHN/2hQRkZJVOARcXV3x888/Izk5Gb6+vgCAe/fulXoBAhER1X4VHg4aM2YMoqOjcebMGQwZMgQAcOrUKSkQiIjo+SPrFcOVxSuGqwb74xH2hTH2h7G60B+lXTFc4eGg06dPw8nJCU5OTsjIyMC6detgYmKCsLAw2NvbV1mhRERUcyo8HPTFF1/AxKRw9zVr1qCgoAAqlQorVqyotuKIiKh6VfhIID09HTqdDgUFBTh16hSWLl0KtVqNN954ozrrIyKialThELC0tMTdu3dx/fp1uLu7Q6PRQK/XP/fLqxIRKVmFQ6B3797417/+Bb1ej/DwcADAuXPn4ObmVl21ERFRNatwCAwYMAAdO3aEiYkJXFxcAAAODg4YN25ctRVHRETV66mWki46M+jQoUMACkPAycmpWgojIqLqV+EjgWvXruHDDz+EmZkZ0tLS0LlzZ/z+++/Yv38/3nrrreqskYiIqkmFjwRWrlyJIUOGYOHChVCrC7OjZcuWOHfuXLUVR0RE1avCRwI3btxAly5djLZpNJpK3/S9pm38ZhcSc01gMDx3F0hXGxMTFfvjf9gXxmpDf6gg8KecawjIvQKVrJUA6WZmKHj4ULbnP2PuhE06f0S82hFWZqZV2naFQ8DR0RGXL19G48aNpW0XL16UJolruzSY44apFYQJ/6MXUalU7I//YV8Yqw39kaMyxy+WXjiQ2wh/uxsPnSFb1nrkkKUyw1rbdoi2bgYn5OJOlh4N7as2BCq8dtCxY8ewfPly9OrVC9u2bUNoaCh2796NN954A23atKnSosrDtYOqBvvjEfaFsdrQHwUGgR8vZGDtydswUanwWltH9Paxh4mq5o8L5OiP+Bv3seJwCjJy9ejXrD7C2jhCo678beFLWzvoqRaQS0xMxJ49e3D79m1otVoEBQXB29u70kVVFkOgarA/HmFfGKtN/ZHyIB9L45NxMjkbLRwtMcnfBe52FjVaQ032x90cPT4/moK4a/fhaW+BSf4uaKqzfOZ2qyQEaguGQNVgfzzCvjBW2/pDCIHYxHv48lgKcvQCQ17QYmBLLcxMa+aooCb6QwiBvZcz8eXxVOTqBYa01iK0pRZqk6p5jc+8iqher8e+fftw5coV5ObmGv1u0qRJz1YdEVEZVCoVenjboV0Da/z3WArW/XYHB6/dr7JvyXJLvp+PpYeTcSo5Gy0dLTGxBo92KhwCixcvxtWrV/Hiiy/Czs6uOmsiIiqRvaUaU15yQzevB1h2JBn/jL6KkOb1MeIZx8vlUmAQ2H4+A+tOFc57jOvgjD/X8LxHhUPg1KlTWLx4MaytrauzHiKicnVwt0Er50ZYc+I2tp3LQPz1BzjIHS8AAA/MSURBVJjg74K2DZ6fz6crGblYHJ+MP9Jy0cHNBuM6OkNnZVbjdVQ4BHQ6HR7KeJ4sEdHjrMxMMa6jC7p62WJxfDLe23sd3RvZYvSLzrC1qNrTKKtSfoEBGxPSsPn3NNiYm2JKgCte8qwHlQxnPQFPEQJdu3bF/Pnz0adPn2J3EnvhhReqvDAioopo6WSFhS974bvTafj+TBqOJ2Xhr+2d0UXGD9bSnEnNxpL4ZNy8l48e3rYY1U7+wKpwCOzatQsAsH79eqPtKpUKixcvrtqqiIiegrmpCYa3cURAw3pYHJ+MBXFJOHDFGuM6usgyxPKk7IcF+OrEbez64y6crM0wq4cH/GrJ0BVPEVUw9scj7Atjz3N/PDnZWhUXmT1Lfxy+cR/Lq/Cir8oq7RTRClcyb968Erd/9NFHlauIiKgamJqo0L+FAz4LaYRmOg1WHEnB9N3XcCMzr0bruJujx7yfb2LO/puwsTDFh8GeGP2ic607i6nCw0Fnzpx5qu1ERHJytjHHez08pIvM/r7jSo1cZFZ0YdsXx1KQqxcY3kaHgS1q7sK2p1VuCGzYsAFA4cViRf8ukpKSAkdHx+qpjIjoGT1+kdnKGrjI7PElLmr6oq/KKjcE0tLSAAAGg0H6dxGdTodXX321eiojIqoi9pZqTH3JDd28Csfnp/10FSHN6mN4FY3P14aLviqr3BCYMGECAKBp06YICgqq9oKIiKpLR/d6eMHZCmtO3MbWcxn4tQouMjO+6Msab3RwgaO1/GckVVSZIZCamirdQ7h169ZISUkpcT9nZ+eqr4yIqBqUdJFZZc7Zzy8wSNcm1IaLviqrzBCYMmUKFi1aBHt7e0yePLnU/Z6cKyAiqu2KLjIrunr3WFIWxr7oXKEP8t//d9HXjVp00VdllXudwOuvv46vvvpK+nn+/PmYOnVqlRZhMBgQEREBBwcHRERElLs/rxOoGuyPR9gXxpTWH+Wt41PUH9kPC7DmxG3s/N9FX8/TekWVXkr6yYz4/fffq6aix+zYsQNubm7Iycmp8raJiMrjVV+DD4M9pcndSdsSi11k9vhFX39pXnWTynIrNwSqe3wrLS0Nx48fR2hoKLZv316tz0VEVJqii8w6edhgaXwyVhxJwYEr9/CanyNijpzDngt34GlngYiubnXiHgZFyg2BgoICnD59WvrZYDAY/Qw82wJyq1evxogRI3gUQES1wuMXmX1xLAX/2n0NZqYqDPfV1ejdzGpKuSFgZ2eHZcuWST/b2NgY/fwsC8gdO3YMdnZ28Pb2LvPK45iYGMTExAAAIiMjodPpKvV8arW60o+ti9gfj7AvjLE/gFcdHRHUygNbTiejV3NneNTyi74qS9YF5L755hscOHAApqamyM/PR05ODjp27FjmmUgAJ4arCvvjEfaFMfaHsbrQH898j+HqEBYWhrCwMACFaxBt27at3AAgIqKq8/xPbRMRUaXJeiTwuFatWqFVq1Zyl0FEpCg8EiAiUjCGABGRgjEEiIgUjCFARKRgDAEiIgVjCBARKRhDgIhIwRgCREQKxhAgIlIwhgARkYIxBIiIFIwhQESkYAwBIiIFYwgQESkYQ4CISMEYAkRECsYQICJSMIYAEZGCMQSIiBSMIUBEpGAMASIiBWMIEBEpGEOAiEjBGAJERArGECAiUjCGABGRgjEEiIgUjCFARKRgDAEiIgVjCBARKRhDgIhIwRgCREQKxhAgIlIwhgARkYIxBIiIFEwt55PfuXMHS5Yswd27d6FSqRAUFISXX35ZzpKIiBRF1hAwNTXFyJEj4e3tjZycHERERMDX1xfu7u5ylkVEpBiyDgfVr18f3t7eAABLS0u4ubkhPT1dzpKIiBRF1iOBx6WmpiIxMRFNmjQp9ruYmBjExMQAACIjI6HT6Sr1HGq1utKPrYvYH4+wL4yxP4zV5f5QCSGE3EXk5uZi5syZCA0Nhb+/f7n7JyUlVep5dDod7ty5U6nH1kXsj0fYF8bYH8bqQn+4urqWuF32s4P0ej0WLFiALl26VCgAiIio6sgaAkIILF++HG5ubggJCZGzFCIiRZJ1TuD8+fM4cOAAGjZsiKlTpwIAhg0bhnbt2slZFhGRYsgaAs2bN8fGjRvlLIGISNFknxMgIiL5MASIiBSMIUBEpGAMASIiBWMIEBEpGEOAiEjBGAJERArGECAiUjCGABGRgjEEiIgUjCFARKRgDAEiIgVjCBARKRhDgIhIwRgCREQKxhAgIlIwhgARkYIxBIiIFIwhQESkYAwBIiIFYwgQESkYQ4CISMEYAkRECsYQICJSMIYAEZGCMQSIiBSMIUBEpGAMASIiBWMIEBEpGEOAiEjBGAJERArGECAiUjCGABGRgjEEiIgUTC13ASdPnsSqVatgMBjQs2dPDBgwQO6SiIgUQ9YjAYPBgC+++ALTp0/HJ598gri4ONy4cUPOkoiIFEXWELh48SJcXFzg7OwMtVqNzp0748iRI3KWRESkKLKGQHp6OrRarfSzVqtFenq6jBURESmL7HMCFRETE4OYmBgAQGRkJFxdXSvd1rM8ti5ifzzCvjDG/jBWV/tD1iMBBwcHpKWlST+npaXBwcGh2H5BQUGIjIxEZGTkMz1fRETEMz2+rmF/PMK+MMb+MFaX+0PWEGjcuDFu3bqF1NRU6PV6HDp0CO3bt5ezJCIiRZF1OMjU1BSjR4/GnDlzYDAY0L17d3h4eMhZEhGRosg+J9CuXTu0a9euRp4rKCioRp7necH+eIR9YYz9Yawu94dKCCHkLoKIiOTBZSOIiBRM9uGgmsLlKQrduXMHS5Yswd27d6FSqRAUFISXX35Z7rJkZzAYEBERAQcHhzp9JkhFZGVlYfny5bh+/TpUKhXGjx+Ppk2byl2WLLZv3469e/dCpVLBw8MDEyZMgLm5udxlVSlFhEDR8hT//ve/odVq8a9//Qvt27eHu7u73KXVOFNTU4wcORLe3t7IyclBREQEfH19FdkXj9uxYwfc3NyQk5MjdymyW7VqFfz8/PD2229Dr9cjLy9P7pJkkZ6ejp07d+KTTz6Bubk5Pv74Yxw6dAiBgYFyl1alFDEcxOUpHqlfvz68vb0BAJaWlnBzc1P8VdppaWk4fvw4evbsKXcpssvOzsbZs2fRo0cPAIBarYa1tbXMVcnHYDAgPz8fBQUFyM/PR/369eUuqcop4kigpOUp/vjjDxkrqh1SU1ORmJiIJk2ayF2KrFavXo0RI0bwKACF7wlbW1ssXboUV69ehbe3N8LDw6HRaOQurcY5ODigX79+GD9+PMzNzdGmTRu0adNG7rKqnCKOBKi43NxcLFiwAOHh4bCyspK7HNkcO3YMdnZ20tGR0hUUFCAxMRHBwcGYN28eLCwssGXLFrnLksWDBw9w5MgRLFmyBCtWrEBubi4OHDggd1lVThEhUNHlKZRCr9djwYIF6NKlC/z9/eUuR1bnz5/H0aNHMXHiRCxcuBCnT5/GokWL5C5LNlqtFlqtFj4+PgCATp06ITExUeaq5JGQkAAnJyfY2tpCrVbD398fFy5ckLusKqeI4aDHl6dwcHDAoUOHMHnyZLnLkoUQAsuXL4ebmxtCQkLkLkd2YWFhCAsLAwCcOXMG27ZtU+x7AwDs7e2h1WqRlJQEV1dXJCQkKPakAZ1Ohz/++AN5eXkwNzdHQkICGjduLHdZVU4RIcDlKR45f/48Dhw4gIYNG2Lq1KkAgGHDhtXYVdtU+40ePRqLFi2CXq+Hk5MTJkyYIHdJsvDx8UGnTp0wbdo0mJqawsvLq05eOcwrhomIFEwRcwJERFQyhgARkYIxBIiIFIwhQESkYAwBIiIFYwgQ1ZCff/4Zs2fPlrsMIiM8RZTqlIkTJ+Lu3bswMXn0/SYwMBBjxoyp0TpSU1MxadIkrF+/HqampjX63ERPQxEXi5GyTJs2Db6+vnKXQfRcYAiQIqxcuRKZmZmYMmUKAGDt2rW4fPky3n33Xej1eqxfvx6//PIL9Ho9OnTogPDwcOnmIUeOHMHGjRulFTbHjBkDPz8/TJw4EW+88YYUOBs3bkRycjImT56MmTNnAgDCw8MBAO+++y6SkpKwZ88evP/++wAKr95evXq1tERDeHg4mjVrBgB477330Lx5c5w5cwZXr15F06ZNMXnyZNja2iI/Px/Lly/HyZMnYTAY0KBBA0ybNg329vY12aVUR3BOgBThtddew/Xr17Fv3z6cPXsWsbGxmDhxIlQqFdatW4dbt25h/vz5WLRoEdLT07Fp0yYAhfeiWLx4MUaOHIlVq1Zh1qxZcHR0LPf5Zs2aBaBwmeqvv/662J25Hjx4gMjISPTp0wdffvkl+vbti8jISNy/f1/aJy4uDuPHj8d///tf6PV6bNu2DQCwf/9+ZGdnY9myZfjyyy8xduzYOne3K6o5PBKgOmf+/PlG4/AjRoxAUFAQJk2ahA8++ACWlpYYNWoUtFothBDYs2cP5s+fDxsbGwBAaGgoPv30U4SFhWHv3r3o3r279G2/qlafPX78OFxcXNC1a1cAwEsvvYSdO3fi2LFj0p2rAgMD4erqCgD405/+hKNHjwIoXAvrwYMHSE5OhqenJ5fBpmfCEKA6Z+rUqSXOCfj4+MDZ2RmZmZno3LkzAODevXvIy8szuq+wEAIGgwFA4bLjbdu2rfIa09PTix1RODo6Gt3l7fHhHQsLC+Tm5gIAunbtirS0NCxcuBDZ2dno0qULhg4dCrWa/53p6fFdQ4qxa9cuPHz4EA4ODoiKisLAgQNRr1496f6xJX3L12q1SE5OLrE9CwsL5OfnSz/fvXtX+rdKpSqzFgcHB8THxxttu3PnDvz8/Mp9HWq1GoMHD8bgwYORmpqKuXPnwtXVVbolJNHT4JwAKUJSUhI2bNiAN998E5MmTcLWrVtx5coVmJiYoGfPnli9ejUyMzMBFH5LP3nyJACgR48e2LdvHxISEmAwGJCeno6bN28CALy8vBAXFwe9Xo9Lly4Zfajb2tpCpVIhJSWlxHratm2LW7du4eDBgygoKMChQ4dw48aNCi3pffr0aVy7dg0GgwFWVlZQq9Xlhg5RaXgkQHXOhx9+aHSdgK+vL9LT09G/f394eXkBKLyHwmeffYbIyEgMHz4cmzZtwjvvvIP79+/DwcEBvXr1gp+fH5o0aYIJEybgq6++QmpqKuzs7DBmzBi4ublhyJAh+PTTTzFq1Ci0bNkSAQEBePDgAYDCo4TQ0FC8++67KCgowPTp041qrFevHiIiIrBq1SqsXLkSLi4uiIiIgK2tbbmv7+7du1i5ciXS09Oh0Wjwpz/9SZpbIHpavFiMiEjBOBxERKRgDAEiIgVjCBARKRhDgIhIwRgCREQKxhAgIlIwhgARkYIxBIiIFIwhQESkYP8PgCj4Iv+vl9sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "################################################################################\n",
    "## Imports\n",
    "\n",
    "from random import random\n",
    "from pyeasyga import pyeasyga\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "################################################################################\n",
    "## Common code\n",
    "\n",
    "# Population sizes\n",
    "sizes = [10, 20, 40, 80, 160]\n",
    "\n",
    "# Number of tests\n",
    "tests = 10\n",
    "\n",
    "# Fitness of the global solution\n",
    "global_fitness = 5\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",
    "# # Data\n",
    "# data = [0] * 15\n",
    "\n",
    "# # Define fitness function\n",
    "# def fitness_function(individual, data=None):\n",
    "#   fit = 0\n",
    "#   for i in [individual[:5], individual[5:10], individual[10:15]]:\n",
    "#     u = sum(i)\n",
    "#     if u < 5:\n",
    "#       fit += 4 - u\n",
    "#     else:\n",
    "#       fit += 5\n",
    "#   return fit\n",
    "\n",
    "################################################################################\n",
    "## Simple Genetic Algorithm (sGA)\n",
    "\n",
    "# Best fitness of each execution\n",
    "fitness_sga = []\n",
    "\n",
    "for ps in sizes:\n",
    "  popfit = []\n",
    "  for _ in range(tests):\n",
    "    # Initialize genetic algorithm\n",
    "    sga = pyeasyga.GeneticAlgorithm(data, population_size=ps)\n",
    "    # Set fitness function\n",
    "    sga.fitness_function = fitness_function\n",
    "    # Run sGA\n",
    "    sga.run()\n",
    "    # Get best individual\n",
    "    fitness, result = sga.best_individual()\n",
    "    popfit.append(fitness)\n",
    "  fitness_sga.append(popfit)\n",
    "\n",
    "################################################################################\n",
    "## Compact Genetic Algorithm (cGA)\n",
    "\n",
    "# Best fitness of each execution\n",
    "fitness_cga = []\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",
    "\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",
    "  # Run `i` generations\n",
    "  for _ 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",
    "    # 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",
    "    # 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",
    "\n",
    "for ps in sizes:\n",
    "  popfit = []\n",
    "  for _ in range(tests):\n",
    "    # Initialize genetic algorithm\n",
    "    cga = pyeasyga.GeneticAlgorithm(data, population_size=ps)\n",
    "    # Set create individual function\n",
    "    cga.create_individual = create_individual\n",
    "    # Set fitness function\n",
    "    cga.fitness_function = fitness_function\n",
    "    # Set evolution function\n",
    "    cga.run = run\n",
    "    # Run evolution\n",
    "    cga.run(cga)\n",
    "    # Get best individual\n",
    "    fitness, result = cga.best_individual()\n",
    "    popfit.append(fitness)\n",
    "  fitness_cga.append(popfit)\n",
    "\n",
    "################################################################################\n",
    "## Plot comparison charts\n",
    "\n",
    "for i in range(len(sizes)):\n",
    "  sga_accuracy = 0.0\n",
    "  for f in fitness_sga[i]:\n",
    "    sga_accuracy += 1 if f == global_fitness else 0\n",
    "  sga_accuracy /= tests\n",
    "  cga_accuracy = 0.0\n",
    "  for f in fitness_cga[i]:\n",
    "    cga_accuracy += 1 if f == global_fitness else 0\n",
    "  cga_accuracy /= tests\n",
    "  # Plot\n",
    "  fig = plt.figure()\n",
    "  fig.suptitle('Population of ' + str(sizes[i]) + ' individuals',\n",
    "     fontsize=14, fontweight='bold')\n",
    "  line_sga, = plt.plot(fitness_sga[i])\n",
    "  line_cga, = plt.plot(fitness_cga[i])\n",
    "  plt.ylim(0, 10)\n",
    "  plt.legend([line_sga, line_cga],\n",
    "    ['sGA ({:.2f}%)'.format(sga_accuracy*100),\n",
    "     'cGA ({:.2f}%)'.format(cga_accuracy*100)])\n",
    "  plt.xlabel('Executions')\n",
    "  plt.ylabel('Fitness')\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
}