{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "bd0e6e1d-7ae9-49f8-a92e-83ee2e490773", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import emcee\n", "import corner" ] }, { "cell_type": "markdown", "id": "75cd08f7-f0f2-42e1-b0f6-6df2522294a5", "metadata": {}, "source": [ "# Outliers\n", "\n", "One important use of the ML method is the identification of outliers points in your data. Let's examine that technique by making some fake data for a linear fit, and then adding some clear outliers to the dataset." ] }, { "cell_type": "code", "execution_count": 2, "id": "2b478992-6260-48c7-8828-469ba8846bff", "metadata": {}, "outputs": [ { "data": { "image/png": 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VKF++PJKTkzF06FCTmao8i8ewEBERydCtW7cwZswYREdHY926dRgwYIDYkd4IJyxlzPHjxzFp0iQoFAooFAq8//776Nq1Kzp27IjGjRtj0KBBPCWciMiECYKA9evXQ6lUwsbGBklJSSZfVgAWljKnXbt2WLp0KapUqYJmzZrh4sWL2LdvHw4fPoxDhw6hUqVKGDJkCNzc3KAq4QE0//rXvwyUmoiIdPHPP/+gV69emDVrFjZu3IgNGzagWrVqYsfSCxaWMsra2vqFde+++y5+/vln+Pv7Y8eOHZg4caLO7xcdHY19+/bpMyIREelIEASsWbMGjo6OqF27NpKSktC3b1+xY+kVCwu9YMmSJbC2tsb333+Pq1evvvb5d+/exdChQ6HRaIyQjoiInnXlyhV07doV//rXv/D777/jhx9+QJUqVcSOpXcsLCUUH190aerbeRlLS0u4u7tDEAT88ssvAICff/4ZHTp0QNu2bWFvb4+1a9cCAPLy8jB58mRkZGQgNjYWrq6umDlzJgDgwoUL6NOnD7p06YI6depg5MiRePTokfF/Q0REMqTRaPDf//4XzZo1Q6NGjZCQkIDu3buLHctgWFhKICYG8PDQPh4yRPu1KW+nOM2aNQMAnDt3DocPH4a3tzc2btyIEydOwM3NDWPGjMHt27dRoUIF/PLLL2jevDmaN2+OqKgohISEQBAE9OnTB61bt8bff/+NiIgIbNy4EStWrDD+b4aISGYuXryIjz/+GEuWLMGff/6JVatWyf6WNCwsJRARAaSlaR+npgLbt5v2dorz9A/+3bt3ERsbC0tLS9SvXx8A0KVLF2g0Gly7du2Vr3/48CEuX75cWHxcXFxQtWpVXL582dDRiYhkq6CgAIsWLULz5s3RokULJCQkoHPnzmLHMgpeh6UE3N2BNWu0JcLWFnBzM+3tFCc7OxsAYGNjAx8fH3Ts2BEAcOPGDezevRsAkJ+f/8rXW1lZ4dixY2jZsiVUKhW2bt0KtVpd7GuIiOjVUlJS4Ofnh/v372P37t3o0KGD2JGMihOWEnBxAcLCtI/DwrRfm/J2ihMbGwsAaNmyJSwtLVG+fHl4enpixYoV+OCDDwBoj0ovjrOzM7799lv4+PigevXqsLGxee1riIioKLVajZCQELRq1QodOnRAbGxsmSsrACcsJebsXHRp6tt5maysLPz5558wNzfH8OHD8ddff8HLywv79++Hk5MToqKidHqPjh07YsCAAdi0aZPhQxMRyVBCQgJ8fX2Rk5OD/fv3o02bNmJHEo0sJyze3t68WutrFDfpGD9+PB4+fIjp06ejTp06mDVrFlxdXeHk5PTK1zx/X4oNGzYgISEB06ZN01tmIqKyIj8/H9988w3atGmD7t274+zZs2W6rAAynbCEhobK/mjpNyEIAh48eAAbG5si62/duoUpU6YgLCwMQUFB+OabbwAAlSpVQkJCAlQqFczNzQuPYXny5AmuXLmCBg0aoGrVqkhMTASgvfx/pUqVAGgvKOfq6orjx48jIyMDT548wc2bN1GjRg1UqFDBiL9rIiLTcPbsWfj5+UGj0eDw4cNo2bKl2JEkQZYTFnq1Xbt2YdiwYcjOzkZcXBzq1q2L9u3bo23btujcuTPefvttHDt2DMuXL4eZmfaPx7///W/k5+ejbdu2mDp1Kjp27Ih3330XGzZsQG5uLgBg6tSpePz4MQYMGABzc3OMGDECffr0wZAhQ+Dr64vr16+ja9euiImJwYkTJ1hWiIieo1KpMGvWLHTo0AH9+/fH6dOnWVaeoRBkdBRkdnY2rK2tkZWVVeyEpaCgABcuXECjRo1Qrly5Em4DsLYGsrIAQw5xjLUdMg1v8meWiKTv1KlT8PX1hYWFBdavX194SYiyQpfPb05YiIiIRPLkyRNMmzYNrq6u8PT0xMmTJ8tcWdGVLI9hMSQLCyA4WLuUw3aIiEgcx44dg6+vL6pUqYLo6GgolUqxI0kaJywlZGEBzJ5tnMJijO0QEZFxPX78GJMmTUK3bt0QEBCAo0ePsqzogBMWIiIiI4mKioK/vz9sbW1x9uxZNG7cWOxIJoMTFiIiIgN7+PAhgoKC0LdvX0yYMAEHDx5kWSkhTliIiIgMaO/evQgMDET9+vURFxcHe3t7sSOZJE5YiIiIDCArKwuBgYEYNGgQpk+fjv3797OsvAFOWIiIiPRs586dGDVqFBwcHJCQkIB69eqJHcnkmURhefToEaZPnw4rKyuo1WqoVCosWLAAFjyFhoioTFCpgJAQYOZMaZ89mZGRgcmTJ2Pbtm1YtGgR/P39X7jXGpWOSewSmj59Ouzt7RESEoIFCxZAo9Fg3rx5YsciIiIjUamAOXO0S6n6888/oVQqce/ePSQlJSEgIIBlRY9MYsISFRWFzp07F37t5OSEnTt3vvH7ajSaN34PImPgn1Ui6bp37x7Gjx+P3bt3Y+nSpRg5ciSLigGYRGFxdnbGypUrMWDAAJiZmeH06dMYM2ZMqd9PoVDA3Nwcly5d0mNKIsMyNzfn/wSJJCY8PBxBQUH48MMPkZSUBFtbW7EjyZZJ3PwwNTUVH374Idq3b49x48YhMzMTffr0eeF5ut78END+i9UEfutEhRQKReEdtInKGqndEPbOnTsICgpCVFQUli9fjqFDh/IfFG9Al89vk5iw2NraYvPmzQgNDUXv3r3x888/F/v8pk2bFv7BmTJlCqZMmfLCc/g/fiIiKilBEPDrr79iwoQJ6NKlC5KTk1GjRg2xY5UJJlFYUlJScPz4caxYsQIuLi4YOHAgduzYgR49erzy+a+bsBAREZXE7du3MWbMGJw8eRLff/89Bg0aJHakMsUkxgwBAQHo2LFj4eNPP/0UU6dOFTkVERGVBYIgYP369VAqlbCyskJycjLLighMYsISFxeHChUqFH7t7++P9evXi5iIiIjKgn/++QejRo1CQkICNmzYADc3N7EjlVkmMWHp1asX/vrrr8Kvz58/j759+4qYiIiI5EwQBKxZswaOjo6oVasWkpKSWFZEZhITlnXr1mHq1KkIDg5G5cqVkZaWhhUrVogdi4iIZOjq1asICAjAxYsXERYWhp49e4odiWAihcXa2hpr164VOwYREcmYRqPBypUrMXPmTHh6emLr1q08gUNCTKKwEBERGdLFixfh7++PGzduYNu2bejSpYvYkeg5JnEMCxERkSEUFBRg8eLFcHFxQfPmzZGQkMCyIlGcsBARUZmUkpICPz8/3Lt3D3/99Vfh5TNImjhhISKiMkWtVuO7775Dy5Yt8eGHHyIuLo5lxQRwwkJERGVGQkICfH198fjxY+zfvx9t27YVOxLpiBMWIiKSvPj4osuSys/PxzfffIM2bdqgW7duiImJYVkxMSwsREQkaTExgIeH9vGQIdqvX0alAmbP1i6Lvj4GrVu3Rnh4OA4dOoSQkBBUrFjRoJlJ/1hYiIhI0iIigLQ07ePUVGD79pc/T6UC5sz5X2FRqVSYNWsW2rdvj379+uHMmTNo1aqVcUKT3vEYFiIikjR3d2DNGm1ZsbUFdLlCfnR0NHx9fVG+fHkcO3YMzZs3N3hOMixOWIiISNJcXICwMO3jsDDt16/2BF9/PR0ff/wxhg8fjlOnTrGsyIQsC4u3tzfCw8PFjkFERHri7Fx0+TInTx4D4ILDhw8gOjoaX375JcqXL2+UfGR4stwlFBoayvs/EBGVETk5Ofjyyy/x/fffAwjG3r1TULWqLD/eyjRZTliIiEjaXnVGT0kdPHgQzs7OOHnyJA4ePANgGszNWVbkiIWFiIiM7vkzekrq0aNHCAoKQp8+ffDpp5/i8OHDyM1tAqD012ohaWNhISIik7Jv3z44OjoiMTERsbGxmDRpEuLjy+l0rRYyXSwsRERkIrIwYcIoDBgwANOmTcOBAwfQsGFDALpfq4VMFwsLERFJ3t69fwFwxPXrV5GQkIBx48bBzOx/H2Hu7tprtAC6X6uFTAsLCxERSVZmZiZ8fHzg5zcMwNfYtm0P6tev/8LzSnatFjJFLCxERKQTfZ3Zo6uIiAgolUrcvXsXx48nAgiEQqF45fN1uVYLmS4WFiIi0smbntmjq3v37sHT0xPe3t4ICQlBZGQk7OzqGHajJHksLEREVGr6nrr8/vvvUCqVePToEZKSkuDt7V3sVIXKDhYWIiIqNX1NXe7evQsPDw+MGTMGS5cuxbZt21CrVi39hCRZYGEhIiLRCIKATZs2wcHBAQqFAsnJyRg+fDinKvQCXr+YiIhEkgpPz7GIjj6ONWvWYNCgQW/0bhYWQHCwdknyw8JCRERGJQgCfv11A4BJePvtPkhOTka1atXe+H0tLLTH05A8sbAQEZHR3Lx5E6NGjUJMTCyAUKxd6w4rK7FTkSngMSxERKSTpzcVLM3NBQVBwNq1a6FUKlGzZk2cPJkMwF3n13N3D8mysHh7eyM8PFzsGEREshETg1LfXPDatWvo3r075s6di82bN+PHH39ElSpVSrT9p7t7WFjKLlkWltDQUHg8/ZtFRERvrDQ3F9RoNFixYgWcnJxgb2+PxMRE9OzZE8CbTWuobJJlYSEiIv161c0FX1U8Ll26hM6dO2PhwoXYtm0bVq9eDav/P1jlTaY1VHaxsBAR0Wu97OaCLyseBQUFWLp0KZo3bw5nZ2ckJCSgS5cuRd6rNNMaIp4lREREOnn+5oLPF48ff0zH2bP9cffuXfz111/o2LHjS9/H3R1Ys0b7mmenNUTF4YSFiIhK5dndRJaWD7F2rRvatm2LuLi4V5YV4OXTGqLX4YSFiIhKxcUFCAm5CB+f/bCx2YXffluCdu3a6fTa56c1RK/DCQsREZVYfn4+5s2bh7FjmwG4hujoTTqXFaLS4ISFiIhKJD4+FuPH+0KtVmPnzkPo1KkVKlYUOxXJHScsRESkk7y8PABfo3v3D+Hm5obTp0+jRYtWYseiMoITFiIieq3Tp0/D29sXgDn27DmGDh2aAwBUKlFjURnCCQsREb1Sbm4uZsyYgY8++ggeHkMxa9YptG7dXOxYVAZxwkJERC91/Phx+Pn5oXLlyjh16hQcHR3FjkRlGCcsRERURE5ODj777DN07doVvr6+OH78OMsKiY6FhYjIBKhU2rsVG/qYkUOHDqFZs2Y4fvw4zpw5g2nTpsHcnMN4Eh8LCxGRCVCpgDlzDFdYHj16hPHjx6N3794YN24cDh8+jCZNmrz2dRYWQHCwdklkSCwsREQmxBCTlr///htOTk6Ij49HbGwsJk+ejHLlyun0WgsLbR4WFjI0WRYWb29vhIeHix2DiEjv9Dlpyc7OxujRo9G/f39MnToVBw4cQMOGDd/8jYkMQJY7JkNDQ2FlZSV2DCIiydq1axcCAwPRuHFjxMfH47333hM7ElGxZDlhISKil8vMzISvry+GDh2Kr7/+Gnv37mVZIZPAwkJEVEZs374dSqUSaWlpSExMRGBgIBQKhdixiHQiy11CRET0P/fv38eECROwc+dOLF26FF5eXqIXFZ5dRCXFCQsRkYz98ccfcHBwwKNHj5CUlARvb2/RywrAs4uo5DhhISIyAfHx2mViom7Pv3v3LoKCgrB//37897//xfDhwyVRVIhKixMWIiKJi4kBPDy0j318in+uIAjYtGkTHBwcAADJyckYMWIEywqZPE5YiIgkLiICSEvTPr5z59XPS01NxdixY3Hs2DGsXr0agwcPNk5AIiPghIWISOLc3QFbW+3jd9998dcFQUBoaCgcHBxQqVIlJCcns6yQ7LCwEBFJnIsLEBamffzVV9rl02Nabt68ib59+2LmzJn46aef8Ouvv6J69eriBCUyIBYWIiIT4OysXc6dq116eAj46qs/oFQq8c477yApKQn9+vUTLyCRgZncMSxZWVkIDQ1F1apVUbt2bXTq1EnsSERERvP0GJa0NAWWLbuK3377Db169RI3FJERmFRhuXz5MmbNmoXly5ejWrVqYschIjIyDSwtc/DwYWW89VYmduwYjY4dLcUORWQUJlNYMjMz4eXlhS1btrCsEFGZc+XKZQD+eOutt/Dw4XLs2WOPDh3ETkVkPCZzDEtwcDAaNGiAkJAQtG3bFtOmTYNarRY7FhGRQRUUFGDp0qXo0KEZACUOHgwDYF94TAtRWWESE5acnBysW7cO3377LSZNmoTz58+jdevWKCgowKJFi8SOR0RkEOfPn4efnx/u3LmDsLBI9OnzMSpXFjsVkThMYsJy8uRJPHnyBJ6enlAoFGjSpAmGDh2KVatWQaPRvPD8pk2bws7ODnZ2dli8eLEIiYmISk+tVmP+/Plo0aIFPvjgA8TFxaFDh4/FjkUkKpOYsKT9/yUe33777cJ1rq6u+OGHH3Dr1i3UqVOnyPNTUlJgZWVl1IxERPqQlJQEX19fZGdnY+/evfjwww8BANnZIgcjEplJTFgsLbVHwWdmZhauq1GjBgDAxsZGlExERPqUn5+Pb7/9Fq1bt0anTp0QExNTWFaIyEQmLO3atUP58uVx6tQp2NnZAQAyMjLg4uKCytyhS0QmLi4uDr6+vsjLy8PBgwfRunXrF55jYQEEB2uXRGWRSUxYqlWrhokTJ2LVqlWF67Zu3Yovv/xSxFREZGwqFTB7tnYpB3l5eQgODka7du3Qp08fnDlz5qVlBdAWldmzWVio7FIIgiCIHUIXarUa06ZNQ05ODqysrFCvXj0EBQUVeU52djasra2RlZXFY1iIZCg7G7C2BrKyAFP/K37mzBn4+vrCzMwM69evh4uLi06vk9P3gOgpXT6/TWKXEACYm5vzjB8iMnm5ubmYM2cO/vOf/2DmzJmYMWMGypcvL3YsIskzmcJCRGTqTpw4AT8/P1SqVAknT56Ek5OT2JGITIZJHMNCRGTKcnJy8Nlnn6Fz587w8vLCiRMnWFaISogTFiIiAzp8+DD8/PxQvXp1nDlzBk2bNn2j9+PZQlRWccJCRGQAjx49woQJE9CzZ0+MHTsWR44ceeOyAvBsISq7OGEhItKz/fv3IyAgAHZ2doiNjcX7778vdiQik8cJCxGRnmRnZ2PMmDHo168fpkyZgqioKJYVIj3hhIWISA92796NwMBAvP/++4iPj8d7770ndiQiWeGEhYjoDTx48AB+fn7w8PDArFmzsG/fPpYVIgNgYSEiKqUdO3ZAqVTi9u3bSExMxKhRo6BQKMSORSRL3CVERFRC9+/fx8SJExEZGYklS5bA29ubRYXIwGQ5YfH29kZ4eLjYMYhIhrZs2QKlUons7GwkJSXBx8eHZYXICGQ5YQkNDeXND4lIr+7evYvx48dj3759WLZsGUaMGMGiQmREspywEJE8xccXXRqDIAj47bffoFQqoVarkZSUBE9PT5YVIiNjYSEikxATA3h4aB8PGaL92tBSU1MxcOBATJgwAStXrsQff/yBmjVrGn7DRPQCFhYiMgkREUBamvZxaiqwfbvhtiUIAjZs2AClUomKFSsiKSkJHk/bEhGJQpbHsBCR/Li7A2vWaMuKrS3g5maY7dy8eROjR4/G2bNn8eOPP6J///6G2RARlQgnLERkElxcgLAw7eOwMO3X+iQIAn744Qc4OjqievXqSEpKYlkhkhBOWIjIZDg7F13qy/Xr1xEYGIjk5GT88ssv6NOnj343QERvjBMWIiqzNBoNVq1aBScnJ9SrVw9JSUksK0QSxQkLEZVJly9fRkBAAK5cuYI//vgD3bp1EzsSERWDExYiKlM0Gg3+85//oFmzZnBwcEBiYiLLCpEJ4ISFiHSiUgEhIcDMmYCFhdhpSuf8+fPw9/dHamoqduzYAVdXV7EjEZGOOGEhIp2oVMCcOdqlqSkoKMCCBQvQokULtGrVCvHx8SwrRCaGExYikrXk5GT4+vriwYMH2LNnD9q3by92JCIqBU5YiEiW8vPz8a9//QutWrXCxx9/jNjYWJYVIhPGCQsRyU5cXBx8fX2hUqlw4MABtGnTRuxIRPSGOGEhItnIy8vD7Nmz0a5dO/Tu3Rtnz55lWSGSCVkWFm9vb4SHh4sdg0iWVCpg9mzpHXx75swZtGrVClu3bsWRI0cwb948WJjq6UxE9AJZFpbQ0FDeWZXIQKR2tlBubi6++OILdOzYEYMGDUJ0dDRatGghdiwi0jMew0JEOomP1y4TE8XN8awTJ07Az88PlSpVwokTJ+Cs75sMEZFkyHLCQkT6FRMDPB1a+viIl8PCAggOBjSaJ5g6dSo6d+6MkSNHsqwQlQGcsBDRa0VEAGlp2sd37oiXw8IC6NLlMD74wB/VqlXDmTNn0LRpU/ECEZHRcMJCRK/l7g7Y2mofv/uuOBkeP36MCRMmoGfPnhg9ejSOHDnCskJUhrCwENFrubgAYWHaxz/9ZPztHzhwAE5OToiJiUFMTAw+++wzlCtXzvhBiEg0LCxEpJOnh4g4Ohpvm9nZ2Rg7dizc3d0xefJkHDx4EI0aNTJeACKSDB7DQkSStHv3bgQGBqJhw4aIi4tDgwYNxI5ERCLihIWISuTpac1PT3PWtwcPHsDf3x8eHh748ssvsW/fPpYVImJhIaKSeXpa85Ah2tOd9WnHjh1QKpW4efMmEhMTMXr0aJiZ8X9TRFSKwqJWqw2Rg4hMxNPTmlNTge3b9fOeGRkZGDlyJD755BPMnTsXu3btQt26dfXz5kQkCyUuLPXr18eTJ08MkYWITMDT05ptbQE3tzd/v61bt8LBwQEPHjxAUlIS/Pz8oFAo3vyNiUhWSlxYbt++DaVSiUWLFiEzM9MQmYhIwp6e1hwWpj3dubTS09MxdOhQ+Pv7Y+HChYiIiEDt2rX1kpGI5KfEhaVOnTpYtWoV7ty5g2bNmsHX1xfR0dGGyEZEEvL0svgtW2q/Lu2V8AVBwObNm+Hg4AC1Wo3k5GR88sknnKoQUbEUgiAIJXlBSkpK4dUl8/Ly8Pvvv2P16tXIzc3F2LFjMXz4cFSsWNEgYV8nOzsb1tbWyMrKgpWVlSgZiOQuOxuwtgaysoCS/jVLS0vDuHHjcPjwYaxYsQIeHh4sKkSk0+d3iScsz14Ku0KFChgxYgQOHTqE9evXY/ny5ahduzamTp2KS5culT45EcmKIAj4+eef4eDggAoVKiA5ORlDhgxhWSEinenlfMEdO3bA398fMTExyMzMxLlz5+Dn54eePXviwIED+thEiXh7eyM8PNzo2yWiF926dQtubm74/PPP8cMPP+C3337DO++8I3YsIjIxJS4so0ePLny8ZcsWtGjRAv369cPp06cxZMgQxMbGYseOHTh06BDmz5+PhQsXwsfHBxqNRq/BixMaGgoPDw+jbY+IXiQIAn744QcolUpUrVoVycnJGDBggNixiMhElfgYlgoVKmD48OE4efIkLl68CHNzc3h6emLGjBkvvceHRqNB48aNMXz4cHzzzTd6C/4yPIaFyPB0OYbl+vXrGDVqFJKSkrBmzRr06dPHuCGJyKQY5BgWtVqNjRs34p9//sG4ceNw6dIl/Pjjj6+8IVl+fj5SU1Px/fffl3RTRGRiNBoNVq1aBScnJ9SpUwdJSUksK0SkF6W6+aGbmxtWrVoFW1vb1z73wYMHyMnJ4fUViGTuypUrCAgIwOXLl/H777+je/fuYkciIhkp8YSldevW2LZtm05lBQDeffdd7N+/H3v27ClxOCKSPo1Gg2XLlsHZ2RlNmjRBYmIiywoR6V2JJywnT54s8UZcXV1L/BoikqanF5CzsAAuXLgAPz8/pKamYvv27ejUqZPY8YhIpngbVCIqEQsL4KuvCvDf/y6Ei4sLWrVqhfj4eJYVIjKoUh3DQkRlV3JyMvz8/JCZmYk9e/agffv2YkciojKAExYi0olarUZISAhatWqFjh07IjY2lmWFiIyGExYieq34+Hj4+voiNzcXBw4cQJs2bcSORERlDCcsRPRKeXl5mDNnDtq2bYtevXrh7NmzLCtEJApOWIjopc6ePQtfX18AwJEjR9CiRQuRExFRWWZyE5adO3fivffeEzsGkWypVCp8+eWX6NChAwYOHIjo6GiWFSISnUlNWDIzMzFhwgSU8PZHRKSjkydPws/PD2+99RZOnDgBZ2dnsSMREQEwsQnLrFmz4OXlJXYMItl58uQJPv/8c3Tq1AmffPIJywoRSY7JTFi2bduG1q1bix2DSHaOHj0KPz8/2NjY4PTp03BwcBA7EhHRC0xiwnLv3j1ERkbCx8dHp+c3bdoUdnZ2sLOzw+LFiw0bjshEPX78GBMnTkT37t0RGBiIo0ePsqwQkWSZxITlq6++wty5c3V+fkpKCqysrAyYiMi0HThwAAEBAahVqxZiYmLQqFEjsSMRERVL8hOWzZs3w9XVFTVr1hQ7CpHJe/jwIcaOHQs3NzdMnDgRBw8eZFkhIpMg+QnL6tWrERUVhWHDhhVZr1AocODAAd4JmkhHe/bsQWBgIOzt7REfH48GDRqIHYmISGeSLyxr167Fo0ePCr+OiIjA6tWrsXPnTjRs2FDEZESm4cGDB5g6dSrCwsIwf/58jBo1CmZmkh+uEhEVIfnC8nwpiY2NRYUKFdC8eXNxAhGZkMjISIwePRpKpRKJiYmoW7eu2JGIiEpF8oWFiEouIyMDkyZNQkREBBYvXgxfX18oFAqxYxERlZrJzYV9fHxw7do1sWMQSda2bdugVCqRkZGBpKQk+Pn5sawQkcnjhIVIJtLT0zF+/Hjs2bMHy5Ytg6enJ4sKEcmGyU1YiKgoQRAQFhYGpVKJvLw8JCcn45NPPmFZISJZ4YSFyITduXMH48aNw6FDh7BixQp4eHiwqBCRLHHCQmSCBEHAxo0b4eDggPLlyyM5ORlDhgxhWSEi2WJhITIxt27dgru7O6ZOnYp169bht99+wzvvvFPi91GpgNmzgexs7VKl0ntUIiK9YWEhMhGCIGD9+vVQKpWwsbFBcnIyBgwYUOr3U6mAOXO0hWXOHBYWIpI2HsNCZAL++ecfjBo1CgkJCdi4cSP69u0rdiQiIqPihIVIwgRBwJo1a+Do6Ag7OzskJSWxrBBRmcQJC5FEXb16FQEBAbh06RJ+//13dO/eXexIRESikeWExdvbG+Hh4WLHICoVjUaD5cuXw9nZGY0bN0ZCQgLLChGVebKcsISGhsLKykrsGEQldvHiRfj7++PmzZuIiIhAp06dxI5ERCQJspywEJmagoICLF68GC4uLnBxcUFCQgLLChHRM2Q5YSEyJSkpKfDz88P9+/exa9cudOjQQexIRESSwwkLkUjUajW+++47tGrVCh06dEBcXBzLChHRK3DCQiSChIQE+Pn54fHjx9i/fz/atGkjdiQiIknjhIXIiPLz8/HNN9+gTZs26N69O86ePcuyQkSkA05YiIwkJiYGvr6+0Gg0OHz4MFq2bCl2JCIik8EJC5GBqVQqzJo1C+3bt8eAAQNw+vRplhUiohLihIXIgKKjo+Hr6wsLCwucOHECzs7OYkciIjJJnLAQGcCDB0/Qvv10uLq6YsSIEZIuK4mJ2mV8vLg5iIiKwwkLkZ4dPXoUPj5+uHSpCk6cOIU2bZRiRyqWj492OWQIEBkJuLiIGoeI6KU4YSHSk8ePH2PSpEno3r07vLwCABxF06bSLStPJyp37miXqanA9u3i5SEiKg4LC5EeREVFwdnZGadPn8bZs2cxceLnkPIAMyYG8PDQPjb7//8L2NoCbm7iZSIiKg4LC9EbePjwIcaNG4e+fftiwoQJOHjwIBo3bix2rNeKiADS0rSPNRrtMiyMu4OISLpYWIhKae/evXByckJKSgri4uIwceJElCtXTuxYOnF3105UAODdd7VLiR4TTEQEgIWFqMSysrIQGBiIQYMGYfr06fj7779hb28vdqwScXHRTlQA4KefRI1CRKQTWRYWb29vhIeHix2D9EylAmbP1i7FsnPnTiiVSly/fh0JCQkYO3YszMxM86/R04mKo6O4OYiIdKEQBEEQO4S+ZGdnw9raGllZWbCyshI7DulZdjZgbQ1kZQHG/vFmZGRg8uTJ+PPPP7Fo0SL4+flBoVC88vliZtXV04w3bgB16kg7KxHJmy6f36b5T0MiI9q2bRuUSiXu3buHxMRE+Pv7F1tWnhUSIu5EiIhILlhYSG+ksMtGn+7du4fhw4fDz88P8+fPx44dO2BnZ1ei9/juO/l8P4iIxMTCQnqjUgFz5sjjAzo8PBwODg7Izc1FUlISRo4cqfNURVdyK3hERIbEwkL0jDt37mDw4MEYO3Ysli1bhi1btsD26fm/eiangkdEZGgsLGQynl5K3hA36RMEAb/88gscHBxQrlw5pKSkYNiwYXqfqhARUelI99rhRM949lLy+r5J3+3btzFmzBicPHkSa9euxcCBA/XzxkREpDecsJBJePZS8vq6SZ8gCFi/fj2USiWsra2RnJzMskJEJFGcsJBJcHcH1qzRlhV93KTvn3/+wejRoxEfH4+ff/4Zffv21U9QIiIyCE5YyCQ8eyn5N7lJnyAIWLNmDRwdHVGrVi0kJSWxrBARmQBOWMhkPL2UfGlv0nf16lUEBATg4sWLCA8PR48ePfQX7jnPHhgcHw906GCwTRERlQmcsJDsaTQaLF++HM7OzmjUqBESExMNWlZiYoB+/f739YAB2nVERFR6nLCQrF28eBH+/v64efMm/vzzT3Tu3Nng24yIADIy/vf1vXvag4T1dVaTvllYAMHB2iURkVRxwkKyo1IBX39dgPnzF8PFxQUuLi6Ij483SlkBtAcIV6v2v6+rV3/zg4QNycJCe8VdFhYikjJOWEh2EhLOYe5cP9jb38OuXbvQwcgHkLi4ANu2AR07ar/eulW60xUiIlPBCQvJhlqtxnfffYePP24J4EMcORJr9LLy1LMHBpf2IGFD464gIjIlsiws3t7eCA8PFzsG6VlxH7CJiYlo164dNmzYgIiIvwEsRKVKlYyesSQMeasBXXBXEBGZElkWltDQUHg8vY47GY2hP4Bf9gGbn5+PuXPn4oMPPkC3bt1w9uxZtG7d1jAB9Oj5Ww3wLCIiouLxGBbSC0Pe6+fV24yBr68vNBoNDh8+jJYtWwIA8vIMu119eNmtBnicCxHRq8lywkLG9/wH8Nat2mmISqX/balUKnz11Vdo3749+vfvj9OnTxeWFVPh7q69xQCgn1sNEBHJHQsL6cXzH8DduwNz5ui/sERHR6Nly5aIjIzE8ePHMXv2bFSoUEG/GzECfd1qgIiorGBhIb14/gNY32fG5ObmYvr06XB1dcWIESNw8uRJNGvWTL8bMbI3vdUAEVFZwmNYSG8M9QF87Ngx+Pn5wdraGqdOnYJSqSz2+c8e/Mt7+BARyQMnLCRZOTk5mDx5Mrp164aAgAAcPXr0tWVFH2ffqFT6O/5mxgyeNkxEpA8sLCRJBw8ehLOzM6KjoxETE4OpU6fC3Pz1A8GXnX1TUiqV/o6/mTmThYWISB9YWMggSntNlkePHiEoKAh9+vTB+PHjcfDgQTRq1Ejn1/PsGyIieWJhIb2Ljy/dbpl9+/bB0dERSUlJiIuLw8SJE1GuXLkSbZtn3xARyRMLC+ldZGTJdstkZWVh1KhRGDhwIKZPn479+/fD3t6+1Nvn2TdERPLDwkJ616eP7rtl/vrrLzg6OuLatWtISEjA2LFjYWbGP5ZERFSUSXwyXL9+HT169IClpSVcXFxw4MABsSNRMZydX79bJjMzEz4+Phg2bBiCg4Oxe/du1KtXz7hBiYjIZEi+sAiCgMDAQHTt2hUrV66EIAjo27cvLl++LHY0KkZxu2UiIiKgVCqRnp6OpKQkBAQEQKFQGDcgERGZFMlfOC4xMRHTp09Hly5dAAA9evRAgwYNsGPHDkycOFHkdFQS9+7dw4QJE7Br1y4sXboUI0eOZFEhIiKdSH7C0rhx48KyAgA1atSAg4MDLHhxC5Py+++/Q6lUIicnB0lJSfDy8mJZISIinUm+sLzsxnaZmZno27fvK1/TtGlT2NnZwc7ODosXLzZkPHqNu3fvYPDgwRgzZgz+85//YOvWrbB9ekSujFlYAMHBxV80TpfnEBGRluR3CT3v0KFDGDhwIOzs7F75nJSUFFhZWRkxFT1PEAQAm9CmzQR06dIZycnJqFGjhtixjMbCQnt5/zd9DhERaZlUYcnPz8emTZuwdOlSsaNQMVJTb2Pq1LF4++0TWLFiDYYNGyR2JCIiMnGS3yX0rEWLFuGLL77g8SsSVaGCgH79QtG2rRLW1pa4fj1ZlLLCXS1ERPJjMoVl3bp16NmzJ+rUqQMAUKlUKCgoEDkVPXXjxg0MHNgHp07NRGhoKDZu3Ihq1aqJkuXprpbSFpbS3geJiIgMxyQKy8qVK3HlyhWkpaVh165d2LJlC6/dIRGCIGDt2rVwdHREzZo1kZycDHd3d7FjlVpMTOnug0RERIYl+WNYfvzxRwQFBQEAQkJCCtePHz+el3AX2bVr1xAQEIDz589j8+bN6Nmzp9iR3lhExIv3QeINFImIxCf5T3w/Pz8IgvDCf8uWLRM7Wpml0WiwYsUKODk5oWHDhkhKSpJFWQEAd3fd74NERETGI/kJC0nLpUuXEBAQgOvXr2Pbtm1FLuonBy4u2vsfdez46vsgERGR8Ul+wkLSUFBQgCVLlqB58+ZwcnJCQkKC7MrKU8XdB4mIiMTBCQu91rlz5+Dn54f09HTs3LkTH330kdiRiIiojOGEhV5JrVZj/vz5aNmyJdq1a4e4uDiWFSIiEgUnLPRSiYmJ8PPzw8OHD7Fv3z60a9dO7EhERFSGccJCReTn52PevHn44IMP0KVLF8TExLCsEBGR6DhhoUKxsbHw9fWFWq3GoUOH0KpVK7EjERERAeCEhQDk5eXh66+/xocffgh3d3ecPn2aZYWIiCSFE5Yy7vTp0/D19YW5uTmOHTuG5s2bix2JiIjoBbKcsHh7eyM8PFzsGJKWm5uLGTNm4KOPPsLQoUNx6tQplhUiIpIsWU5YQkNDYWVlJXYMyTp+/Dj8/PxgaWmJU6dOwdHRUexIRERExZLlhIVeLicnB5999hm6du0KX19fHDt2jGWFiIhMgiwnLPSiQ4cOwd/fH++88w7OnDmDJk2aiB2JiIhIZ5ywyNyjR48wfvx49O7dG0FBQTh8+DDLymtYWADBwdolERFJAycsMvb3338jICAAdevWRWxsLBo2bCh2JJNgYQHMni12CiIiehYnLDKUnZ2N0aNHo3///vj8889x4MABlhUiIjJpnLDIzK5duzBq1Cg0btwYCQkJqF+/vtiRiIiI3hgnLDKRmZkJX19fDB06FF999RX27NnDskJERLLBwiID27dvh1KpxJ07d5CYmIjAwEAoFAqxYxEREekNdwmZsPv372PixImIjIzE0qVL4eXlxaJCRESyxMJiov744w+MGzcONjZtcfZsEt57r5bYkYiIiAyGu4RMzN27dzFkyBCMHj0aISFLcf78NlSrxrJCRETyxsJiIgRBwKZNm+Dg4ABBEJCUlITBg4cD4C4gIiKSP+4SMgGpqakYO3Ysjh8/jtWrV2Pw4MEAgOxskYMREREZCScsEiYIAjZs2AClUom33377/6cqg8WORUREZHScsEjUzZs3MXr0aMTExOCnn36Cu7u72JGIiIhEI8sJi7e3N8LDw8WOUSqCIGDdunVQKpWoUaMGkpKSXllW4uOLLomIiORKIQiCIHYIfcnOzoa1tTWysrJgZWUldpwSu3btGgIDA3Hu3Dl8//336NWr1yufGxMD9O4NpKUBtrZAZCTg4mLEsERERHqiy+e3LCcspkaj0WDlypVwdnZGgwYNkJiYWGxZAYCICG1ZAYDUVGD7diMEJSIiEgkLiwGpVMDs2drlq1y+fBmdO3fGggULsHXrVqxZswbW1tavfW93d+1kBdAu3dz0k5mIiEiKWFgMSKUC5sx5eWEpKCjA0qVL0axZMzg5OSEhIQFdunTR+b1dXICwMO3jsDDuDiIiInnjWUIiOH/+PPz8/HDnzh3s3LkTH330Uanex9m56JKIiEiuOGExIrVajfnz56NFixZo27Yt4uPjS11WiIiIyhJOWIwkKSkJvr6+ePjwIfbt24d27dqJHYmIiMhkcMKiI10OoH25fCxYMA+tW7dG586dERMTw7JCRERUQpyw6OjpAbRTpgAWFrq9JiEhDoAvtmzJx8GDB9G6dWuDZiQiIpIrTlgMIC8vD19//TW6dWsHoC+iok4bpKxYWADBwboXKCIiIlPFCYuenT59Gr6+vjA3N8eePcfQsWNzgxUKCwvtbioiIiK544RFT3JzczFz5kx89NFHGDp0KE6dOgVn5+ZixyIiIpIFTlj04Pjx4/Dz80PlypVx6tQpODo6AgCePBE5GBERkUxwwvIGcnJy8Nlnn6Fr167w8fHB8ePHC8sKERER6Q8nLKV06NAh+Pv745133sGZM2fQpEkTsSMRERHJFicsJfTo0SOMHz8evXv3xrhx43D48OFXlpX4+KJLIiIiKh1ZFhZvb2+Eh4cb4J33o107J8THxyM2NhaTJ09GuXLlXvrMmBjAw0P7eMgQ7ddERERUOrLcJRQaGgorKyu9vmdAwAIAeRg48F9YtGgozMyK73oREUBamvZxaiqwfTvvqExERFRaspyw6FtMDLB376cAvsTmzcMRF/f6b5u7O2Brq31sawu4uRk2IxERkZyxsOggIgJ48OAtAP+blryOiwsQFqZ9HBbG6QoREdGbYGHRQWmnJc7ORZdERERUOiwsOuC0hIiISFwsLDritISIiEg8LCxEREQkeSwsREREJHksLERERCR5LCxEREQkeSwsREREJHksLERERCR5JlVYQkJCEBgYCE9PT+zfv1+kDIBKJcqmiYiIyiyTKSzLly/HxYsXsXbtWvzwww8YN24cLl++bPQc333HwkJERGRsJlFY8vLyMHv2bHh7ewMAKlasiB49euDbb78VOVnxLCyA4GDtkoiIiErPJArL0aNHcf/+fTg6Ohaua9asGXbs2GG0DBYWwIwZJX/N7NksLERERG/KJApLcnIyzMzMYGNjU7jOxsYG6enpyMzMfOH5TZs2hZ2dHezs7LB48WK9ZLCwAGbO1MtbERERUQmZix1AF1lZWahSpQrMzP7Xryz+f2yRk5NTpMgAQEpKCqysrIyakYiIiAzHJCYsVatWheq5I12fPHkCAC+UFSIiIpIfkygs9vb2ePz4MXJzcwvXpaenw87ODpUqVRIxGRERERmDSRQWV1dXVK9eHdHR0YXrkpOT0adPHxFTERERkbGYRGEpX748Jk+ejC1btgAAHj9+jL1792JGSU/bISIiIpNkEoUFAKZPnw5zc3NMnDgRQUFBWLduHerXr2/UDPHxRZdERERkHApBEASxQ+hLdnY2rK2tkZWVpfezhGJigN69gbQ0wNYWiIwEXFz0ugkiIqIySZfPb5OZsIgtIkJbVgAgNRXYvl3cPERERGUJC4uO3N21kxVAu3RzEzcPERFRWcLCoiMXFyAsTPs4LIy7g4iIiIyJhaUEnJ2LLomIiMg4WFiIiIhI8lhYiIiISPJYWIiIiEjyWFiIiIhI8lhYiIiISPJkWVi8vb0RHh4udgwiIiLSE3OxAxhCaGio3i/NT0REROKR5YSFiIiI5IWFpQQsLIDgYO2SiIiIjEeWu4QMxcICmD1b7BRERERlDycsREREJHksLERERCR5LCxEREQkeSwsREREJHksLERERCR5LCxEREQkeSwsREREJHksLERERCR5LCxEREQkeSwsREREJHksLERERCR5LCxkVIsXLxY7Ar0CfzbSxZ+NdPFnYzwKQRAEsUPoS3Z2NqytrdG/f3+MGDECHh4eYkei59jZ2eHmzZtix6CX4M9GuvizkS7+bPTj6ed3VlYWrKysXvocWU5YQkNDDV5WwsPDDfr+ct2OMcjteyannw1gnN8PfzalI6fvG3828tuOuQFyiObpsCg7O9vg2/r111/Ro0cPbqeEBEEw+M9Hbt8zOf1sAOP8fvizKR05fd/4szGt7Tz9Hha300dWu4Ru3ryJOnXqiB2DiIiISuHGjRuws7N76a/JqrBoNBrcvn0blpaWUCgUYschIiIiHQiCgIcPH6JWrVowM3v50SqyKixEREQkT7I86JaIiIjkhYWFiIiIJI+FhYiIiCRPVqc1h4SE4MqVK8jJyYG/vz86d+4sdiQCcP36dYwaNQrHjh1Dw4YNsXjxYnTq1EnsWPScnTt3IigoCFevXhU7Cj0nKysLoaGhqFq1KmrXrs2/PyJ79OgRpk+fDisrK6jVaqhUKixYsAAWFhZiR5M12Rx0u3z5cpw9exY//vgjcnNz0bx5c0RGRsLe3l7saGWaIAjo0aMHunXrhpo1a2LRokW4ePEi4uPj+bORkMzMTLRu3RpqtRrXrl0TOw494/Lly5g1axaWL1+OatWqiR2HAAQFBcHe3h5TpkwBAHz66aewsbHB3LlzRU4mb7LYJZSXl4fZs2fD29sbAFCxYkX06NED3377rcjJKDExEdOnT8fnn3+OkSNHYs+ePVAoFNixY4fY0egZs2bNgpeXl9gx6DmZmZnw8vLC0qVLWVYkJCoqCvXq1Sv82snJCfHx8SImKhtkUViOHj2K+/fvw9HRsXBds2bN+KEoAY0bN0aXLl0Kv65RowYcHBw4OpWQbdu2oXXr1qhbt67YUeg5wcHBaNCgAUJCQtC2bVtMmzYNarVa7FhlnrOzM1auXAmNRgMAOH36NMaMGSNyKvmTRWFJTk6GmZkZbGxsCtfZ2NggPT0dmZmZIiajChUqvLAuMzMTffv2FSENPe/evXuIjIyEj4+P2FHoOTk5OVi3bh1atGiBJUuW4KeffsKqVaswffp0saOVeYsXL8aVK1fg5eWFY8eOoX///ujVq5fYsWRPFoUlKysLVapUKXJ1vKf/gs/JyRErFr3EoUOHMHDgwFdeepmM66uvvuJ+d4k6efIknjx5Ak9PTygUCjRp0gRDhw7FqlWrCv9lT+KwtbXF5s2bYW1tjd69e/PnYSSyKCxVq1aFSqUqsu7JkycAUGTqQuLKz8/Hpk2b8M0334gdhQBs3rwZrq6uqFmzpthR6CXS0tIAAG+//XbhOldXVzx58gS3bt0SKxYBSElJwfHjx7FixQosXLgQAwcOxO7du8WOJXuyKCz29vZ4/PgxcnNzC9elp6fDzs4OlSpVEjEZPWvRokX44osvePyKRKxevRrDhg2DQqGAQqGAr68vrl+/DoVCgaioKLHjlXmWlpYAUGS3do0aNQDwH2JiCwgIQMeOHQsff/rpp5g6darIqeRPFoXF1dUV1atXR3R0dOG65ORk9OnTR8RU9Kx169ahZ8+ehXfTVqlUKCgoEDlV2bZ27VrExMQU/jdnzhzY2toiJiYGrVq1EjtemdeuXTuUL18ep06dKlyXkZEBFxcXVK5cWcRkFBcXV+T4PH9/f9y4cUPERGWDLApL+fLlMXnyZGzZsgUA8PjxY+zduxczZswQORkBwMqVK3HlyhWkpaVh165d2LJlCwICAnhHbZE1bNgQzZs3L/yvbt26qFChApo3b84PRAmoVq0aJk6ciFWrVhWu27p1K7788ksRUxEA9OrVC3/99Vfh1+fPn+eJBEYgmwvHFRQUYMaMGcjLy0NWVhYCAwPRvn17sWOVeT/++CP8/f1fWD9+/HgsW7ZMhET0Kj/99BNmz57NC8dJiFqtxrRp05CTkwMrKyvUq1cPQUFBYscq87KysjB16lTUqlULlStXRlpaGr7++mtYW1uLHU3WZFNYiIiISL5ksUuIiIiI5I2FhYiIiCSPhYWIiIgkj4WFiIiIJI+FhYiIiCSPhYWIiIgkj4WFiIiIJI+FhYiIiCSPhYWIiIgkj4WFiIiIJI+FhYiIiCSPhYWIiIgkj4WFiIiIJI+FhYgkKSgoCOXLl4dCoYBCoYBSqQQALFiwAGZmZlAoFOjatavIKYnIWBSCIAhihyAiepmzZ8+iU6dOyM7ORmRkJHr37o38/Hy8//77mDt3LkaOHCl2RCIyEhYWIpK0iIgI9OvXD40aNUJMTAyCg4Nha2uLKVOmiB2NiIyIhYWIJG/KlClYsmQJ2rdvj/fffx/r168XOxIRGRkLCxFJXn5+Ptq3b4/o6Ghs2bIFAwYMEDsSERkZD7olIsl7+PAhLCwsYGNjg8DAQNy4cUPsSERkZCwsRCRparUaI0eOxMKFC7Fu3Trcv38fQ4cOhVqtFjsaERkRCwsRSdqUKVMwYMAAtGnTBgMHDsS4ceNw/PhxTJs2TexoRGREPIaFiCRr0aJF2Lp1K44cOVK47vHjx6hevTpyc3Oxdu1aBAQEiJiQiIyFExYikqTJkydj6tSpOHHiBL799tvC9QMGDEBubi4AIDAwEJ07dxYrIhEZEScsREREJHmcsBAREZHksbAQERGR5LGwEBERkeSxsBAREZHksbAQERGR5LGwEBERkeSxsBAREZHksbAQERGR5LGwEBERkeSxsBAREZHksbAQERGR5P0fTdbcMc7Ts4MAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define our true relation\n", "m_true = 1.0\n", "b_true = 0.0\n", "f_true = 0.2 # if you want outliers here\n", "\n", "# generate 25 points around true relationship from 0 to 10\n", "np.random.seed(41)\n", "N = 25\n", "x = np.sort(10*np.random.rand(N))\n", "\n", "# assign y, give each point a random error between 0.2 and 0.6\n", "yerr = 0.2+0.4*np.random.rand(N)\n", "y = m_true*x+b_true\n", "\n", "# scatter y using error with a 5x boost\n", "y += 5.*yerr*(0.5 - np.random.rand(N))\n", "\n", "# lets look at the fake data\n", "fig = plt.figure()\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.errorbar(x, y, yerr=yerr, ls='', marker='.', color='blue', label='Data')\n", "ax.plot(x, m_true*x + b_true, color='black', ls='-', label='True Relation')\n", "ax.set_ylabel('y', fontsize='x-large')\n", "ax.set_xlabel('x', fontsize='x-large')\n", "ax.minorticks_on()\n", "ax.legend(loc='best');\n", "\n", "# print out the data\n", "#print(' x y yerr')\n", "#for r,s,e in zip(x,y,yerr): print(3*'%6.3f ' % (r,s,e))\n", "\n", "# keep a copy of the original y values\n", "oy=np.copy(y)" ] }, { "cell_type": "code", "execution_count": 353, "id": "0a1cd467-4cce-4e0d-992e-d7baba1fa7f5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " x y yold m_bkg\n", " 0.435 0.387 0.387 False\n", " 0.461 -0.239 -0.239 False\n", " 0.695 0.473 0.473 False\n", " 1.164 0.934 0.934 False\n", " 1.863 2.403 2.403 False\n", " 1.909 2.170 2.170 False\n", " 2.322 2.753 2.753 False\n", " 2.509 2.240 2.240 False\n", " 2.830 -0.182 1.818 True\n", " 3.147 2.603 2.603 False\n", " 3.171 2.604 2.604 False\n", " 3.323 0.432 2.432 True\n", " 3.939 3.073 3.073 False\n", " 3.982 3.132 3.132 False\n", " 4.188 6.867 4.867 True\n", " 4.218 4.656 4.656 False\n", " 4.812 5.383 5.383 False\n", " 6.039 6.243 6.243 False\n", " 6.082 6.122 6.122 False\n", " 6.685 6.951 6.951 False\n", " 6.768 6.867 6.867 False\n", " 7.050 4.895 6.895 True\n", " 7.285 7.577 7.577 False\n", " 7.453 7.352 7.352 False\n", " 9.174 9.365 9.365 False\n" ] }, { "data": { "image/png": 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UsLAQERFJVE5ODoKDg9GmTRv06NEDcXFxaN26tdixSoTHsBAREUlQTEwMfHx8UKZMGZw6dQouLi5iR3ornLCUMqdPn8aUKVMgk8kgk8nwwQcfoFu3bujQoQMaNmyIgQMH8hw2REQmLCsrC0FBQejUqROGDBmCmJgYky8rAAtLqdOmTRssW7YMlStXRtOmTfHXX3/h8OHDOHHiBI4fP44KFSrAw8MDffr0gaqYB9B8/fXXekpNRERFcerUKTg7OyMyMhIxMTGYPXs2ypYtK3YsnWBhKaWsrKxeWlezZk1s2rQJvr6+2Lt3LyZPnlzk14uJicHhw4d1GZGIiIroyZMnmDx5Mrp3747Ro0cjKioKDg4OYsfSKRYWesnSpUthZWWFn376CTdu3Hjj4x88eIAhQ4ZArVYbIB0RET3vyJEjaNKkCeLi4hAfH49PP/0UZcqUETuWzrGwFFNCQsGlqW/nVSwsLODu7g5BELBlyxYAwKZNm9C+fXu0bt0a9evXx9q1awFojkCfOnUq0tLSEB8fD1dXV8yaNQsAcOXKFfTq1Qtdu3ZF3bp1MXLkSDx58sTw/yAiIglSKpUYM2YM+vXrh2nTpiEyMhIffPCB2LH0hoWlGOLigMGDNbc9PDT3TXk7r9O0aVMAwKVLl3DixAl4eXlh8+bNOHPmDPr06YOxY8fi3r17KFeuHLZs2QJnZ2ftftMFCxZAEAT06tULLVq0wJEjRxAeHo7NmzdjxYoVhv/HEBFJTEREBBwcHHD9+nUkJiYiICAAZmbS/pUu7X+djoWHA6mpmtspKcCePaa9ndd5dvHIBw8eID4+HhYWFqhXrx4AoGvXrlCr1fj7778Lff7jx49x7do1bfFxcXFB1apVce3aNX1HJyKSrLS0NHh6emL48OGYM2cO/vjjD+3PZqljYSkGd3fA2lpz29oa6NPHtLfzOhkZGQCAKlWqYNSoUTh27BgA4Pbt2zh48CAAIDc3t9DnW1paIioqCr1794ZKpcK2bduQl5f32ucQEVHhdu7cCXt7e6SnpyM5ORm+vr6QyWRixzIYFpZicHEBduzQ3N6xQ3PflLfzOvHx8QCADz/8EBYWFihbtiyGDx+OFStWoGXLlgAAQRBe+xpOTk6YP38+Ro0aherVq6NKlSpvfA4RERV0//59eHh4wN/fH4sXL0Z4eDjq1KkjdiyDk2Rh8fLy0tvJz5ycCi71xVDbeRWlUondu3fD3Nwcw4YNw/79++Hq6oqZM2fim2++wbvvvluk12jdujUEQcDWrVvRrVs3AyQnIpIOQRDw66+/at+erFAoMHz48FI1VXmeJE/NHxoaqj0Gg17tdZOOiRMn4vHjx/j8889Rt25d9OvXD66urmjSpEmhz5HJZAVec+PGjUhMTMTp06d1mpuIqDS4e/cuxo0bh+joaKxZswYDBw4UO5LoJDlhodcTBAH//vvvS+vv3r2LIUOGYNOmTQgICMBXX30FAKhQoQISExOhUqmQn5+vPYYlKysL169fBwBUrVoVKSkpADSn/392FdCYmBjturS0NGRlZeHOnTvIycnR9z+TiMjkCIKA9evXw8HBAZUrV4ZCoWBZ+S8WllLmwIEDGDp0KDIyMnDhwgW8++67aNeuHVq3bo0uXbqgYsWKiIqKwvLly7Vvkfv222+Rm5uL1q1bY9q0aejQoQNq1qyJjRs3Ijs7GwAwbdo0PH36FP3794e5uTk++eQT9OrVCx4eHvD29sbNmzfRrVs3xMXF4cyZMyhXrpyYnwYiIqPz999/w83NDV9++SW2bNmCjRs3olq1amLHMhoyQUJHQWZkZMDKygpKpfK1u4Ty8/Nx5coVNGjQoNhnA8zIAKysAKUS0OdeJ0Nth0zD23zPEpFxU6vVWLVqFWbOnIlhw4Zh4cKFr7x8ipQV5fe3JI9hISIiMgV//fUXfH19cfv2bezatYtvUHgN7hIqJrkcCA7WLKWwHSIiMrz8/HwsXrxYe5bwxMRElpU34ISlmORyICREOtshIiLDSk5Oho+PD/79918cPHgQ7du3FzuSSeCEhYiIyAByc3Mxf/58tGjRAq6uroiPj2dZKQZOWIiIiPQsPj4e3t7eyM3NxbFjx9CiRQuxI5kcTliIiIj0RKVSYfbs2Wjbti3c3d1x7tw5lpUS4oSFiIhID6Kjo+Hj4wO5XI7Tp09rr15PJcMJCxERkQ5lZmZi2rRp6Ny5M0aMGIHo6GiWFR0wiQnLkydPEBQUBEtLS+Tl5UGlUmHhwoWQ8z2/RESlgkoFLFgAzJpl3Kd7OH78OHx9fVG9enWcO3cOjRs3FjuSZJjEhCUoKAj169fHggULsHDhQqjVasybN0/sWEREZCAqFTBnjmZpjB4/fowJEyagZ8+eCAgIwMmTJ1lWdMwkCktkZCRsbW2195s0aYKEhARxwqhUmhOk6Pv/GkNth4iI3sqhQ4fQpEkTJCUlIT4+HlOmTOElNPTAJAqLk5MTVq5cCbVaDQCIjY3F2LFjxQljqJpv7H9OEBGVcv/++y98fX0xcOBAzJw5E0ePHoWdnZ3YsSTLJArLkiVLcP36dXh6eiIqKgr9+vVDjx49Cn1848aNYWNjAxsbGyxZssSASel5T548wYoVK9CoUSNERkZq19++fRvvvPMOli9fLl44IqK3sGfPHjg4OODu3btISkrC2LFjtVe4J/0wiYNura2tsX37doSGhqJnz57YtGnTax9/8eLF116tmTRSU1OxePFinDp1CnK5HE+fPkX16tUxadIkfPzxx2/9+leuXMHFixdx+fLlAuvNzc1RuXJlVKxY8a23QURkSP/88w8mT56Mffv2YenSpfDy8oJMJhM7VqlgEnXw4sWLOH36NFasWIFFixZhwIABOHjwoNixTNqxY8fg6OiIChUq4NixY/jzzz9x9uxZBAUFYeTIkZg4cSIEQSj263799dfa282aNUO/fv1eeoy1tTX++usveHt7v80/gYjIoMLCwmBvb4+nT58iOTkZo0aNYlkxIJMoLH5+fujQoYP29oQJEzBt2jSRU5muixcvwt3dHW5ubpgzZw7Kli2r/VinTp0QGhqK5cuX46uvvirW68bExODw4cMF1pmbm8QQj4ioUKmpqRg4cCDGjx+PH3/8Ebt27ULt2rXFjlXqmERhuXDhAsqVK6e97+vri9u3b4uYyLQFBgYiIyMDM2bMeOXHe/bsicaNG2P+/Pm4efNmkV7zwYMHGDJkiPbAaCIiUycIAjZt2gR7e3uULVsWCoUCQ4YM4VRFJCZRWHr06IH9+/dr71++fBm9e/cWJ8yzt1Pr+23VetpOamoqDh48iGrVqr32zItdunRBbm4utm7dimrVqkEmk2HDhg0AgA0bNqBq1aradTk5OZg6dSrS0tIQHx8PV1dXzJo165Wvm5mZiZ9//hnNmzfXvt4zR48eRe/evdGyZUu899572mOVHj16hO+//x4uLi7YsGEDZsyYAQsLCyxbtgwAMH/+fLRt2xaOjo6QyWTw8/N7688TEZVud+7cQe/evTFjxgz8/PPP2LZtG9555x2xY5VqJlFY1q1bhytXriA4OBgLFy5EVFQUVqxYYfggcXHA4MGa2x4emvsmtp3z589DEATUq1fvtY979ta8c+fOFSiLADBq1Cjs27dPe79cuXLYsmULnJ2d4ezsjMjISCxYsOCVr3v//n2kp6fj3LlzBdZHRkZi7ty52LZtG86ePQs/Pz94enri9OnTyMzMRLly5RAfH48dO3agY8eO6NWrF6pWrYqDBw9i//79OHnyJJKSkrBy5coSfFaIiDQEQcBPP/0EBwcH1KhRAwqFAv379xc7FsFE3iVkZWWFtWvXih0DCA8HUlM1t1NSgD17ABcXk9pOeno6AOA///nPax9nYWEBAFAqlahRo8ZLH69Vq1aJtv/ee++hb9++mD59eoH1s2fPxuzZs1GpUiUAwJQpUzB79mwsW7YM27dvR/fu3QEAHTp0QO/evbUTtoULF0KpVCInJwfly5fH2LFjCy1LRESvc/36dfj7++Ovv/7C9u3bdfJuSdIdk5iwGA13d8DaWnPb2hro08fktlO5cmUAmtNIv052djYAoFq1ajrb9jPPH+QLAFlZWTh9+jSCg4Ph6uoKV1dX9OrVC7a2ttqcz84aaf3s8/JfXbt2xZUrV9CiRQuEh4cDAD777DOdZyYi6VKr1fjxxx/RtGlTNGjQAElJSSwrRsgkJixGw8UF2LED6NBBs9THdEXP23H572tdu3YNarW60BMdPTuouWXLljrbdmHS0tKgVquxdOlStG3btljPbdasGU6ePImJEyeib9++aNasGUJDQ+Ho6KintEQkJVeuXIGPjw9SUlIQHh6Ozp07ix2JCsEJS3E5ORVcmth2ateujc6dO+PJkyeIiooq9HHHjh1D+fLlMXToUL0fEf/sJH/PJiTPUygUb3x+ixYtcObMGWzbtg23bt1C165d8eTJE53nJCLpyMvLw3fffQcXFxe0aNECCQkJLCtGjoWlFFq0aBHkcnmhx3ocO3YMZ86cQUhICKytrVGhQgUA/9tN9LznTy5X0mJjYWEBFxcXLF68GKtXr9a+NToqKuqldxK9eDK7pUuXIi0tDQAwZMgQbNmyBQ8ePHjp7LpERM8kJiaiTZs2WL9+PQ4dOoSlS5fyzNsmgIWlFGrWrBm2b9+OyMhITJ8+HTk5OdqPHT58GIMGDcKnn36qPU/LO++8g1q1amknMiqVCuvXrwegecvxM1WrVkVKSgoA4PTp0wCAu3fvAgDu3bunfdyzxzy/bv78+VCr1Rg3bhwsLCxQt25duLm5Yfz48QA053kBgEuXLhX4t6hUKowePRqZmZkANKXqnXfeQaNGjd7qc0RE0pOTk4OvvvoKrVq1Qrdu3RAfH1/s3dAkIkFClEqlAEBQKpWvfVxeXp6gUCiEvLy8kmxEEADNUp8MsJ3r168LY8aMEZo1ayZ06tRJaNmypeDu7i4cPXr0pcfu3r1bsLa2Frp06SJMnz5diIuLEypXrix4eXkJUVFRgiAIQlRUlFCnTh2hX79+wtmzZ4XQ0FDB0tJSACBUqlRJ+O6774QjR44INWvWFAAIcrlcmDRpUoFtODg4CGXLlhWcnZ2FEydOCIIgCDt27BCqV68uABBkMpkwcOBA7XMWLFggABCqVKkitG/fXujSpYtw7tw5vX3OxPJW37NEEnDihOZH4n9/LBRbbGys4OTkJDg5OQmxsbG6DUdvrSi/v2WCUIILxhipjIwMWFlZQalUvvbih/n5+bhy5QoaNGigffdJMTYCWFkBSiWgzwssGmo7ZBLe6nuWyMTFxQE9e2rO9mBtDUREvPq9CCoVsGABMGsWIJdr1mVnZ+Orr77CsmXLMHPmTMycObPAmdPJOBTl9zd3CRERkVF71ampXkWlAubM0SwBza5pFxcXHDp0CNHR0fjyyy9ZVkwYC0txyeVAcPD/6rupb4eIyMgV99RUmZmZCAwMRLdu3eDt7Y3Tp0+jSZMm+g9KeiXJwuLl5YWwsDD9vLhcDoSEGKawGGI7RERG7tmpqYCinJrqT7Rp0wTR0dE4f/48ZsyYwavGS4Qkv4qhoaGvPYaFiIhMy5tOTZWRkYGpU4MAbMK4cV/j008DeLyXxEhywkJERKXHgQMH4OjoiKtXrwBIwNixk1hWJIiFhYiITFJ6ejq8vb0xZMgQfPHFF5g37zCA95GQIHYy0gcWFiIiMjm7d++Gvb097t+/j6SkJDRv7g8PD83Ztj08NG+FJmlhYSEiIpPxzz8PMWzYMHh7e+O7775DREQE6tatW+S3PpPpYmEhIiKjpznH6Ta0bGkPlUoFhUKBkSNHaq9hVty3PpPpYWEhIiKjlpKSguHD+wOYhMWLV+L//u//UKtWrQKPKd5bn8kUsbAQEZFREgQBGzZsgL29PSpUqAhAgf79Bxd6Zfg3vfWZTJskz8NSVGq1WuwIREXC71UyBq+6Vo++3Lp1C6NHj0ZCQgJCQ0Ph6uoOfZ0PlExDqSwsMpkM5ubmuHr1qthRiIrM3Ny80L8siQzh2bV6AgP1V1jUajV++uknzJgxA4MHD8a2bdtQuXJlZGToZ3tkOkplYTEzM0P9+vUhoQtVUykgk8lgZsa9uGRcdDl1uXbtGvz8/HD9+nX89ttv6N69u25CkiSUysICgD/4iYrLkPsDyGToYuqSn5+PH3/8EbNnz4aXlxfCw8NhYWGh26Bk8kptYSGiYjLE/gAqdS5dugQfHx88ePAAERER6NSpk9iRyEhxzEBERAaXl5eHb775Bs2aNUObNm2QkJDw1mVFLgeCg9mnpYoTFiIiMqiEhAT4+PggMzMTR48eRevWrXXyunI5EBKik5ciI8QJCxERGUROTg5CQkLQunVruLm54fz580UuK5yekCQLi5eXF8L4hn0iIp16dhXkklwNOTY2Fh9++CF+//13nDp1CvPnz0f58uWL/Pxn0xMWltJLkoUlNDQUgwcPFjsGEZFkxMUBz36sFudqyFlZWZg5cyY6duyIIUOGICYmBi48bz6VAI9hISKiN3rV1ZDf1DtOnToFX19fWFpa4uzZs3B0dNR/UJIsSU5YiEgP3mZ/AJm8wq6G/Kpvi6dPn2Ly5Mno3r07/Pz8EBUVxbJCb42FhYjerKT7A0gyXnU15Fd9Wxw9ehRNmjTB+fPnERcXh2nTpsHcnMN8enssLET0Zq/aH0ClzotXQ37x28LfPxx9+/ZFYGAgjh07hgYNGogTlCSJhYWI3qyw/QFUqj3/bWFmloIyZSKQmJiICRMm8PInpHP8jiKiN3vV/gAq9Wxt0+Dk9AWA+Zg27QzOnFmNevXqiR2LJIqFhYiK5sX9AVSq7dq1C/b29gDiAHjh88/7QyaTiR2LJIxHQhERUTE8wKhRE3Hs2GH88MMP6N37E1SuzKJC+sfCQkREbyQIAsLCtgKYBLW6MxQKBWrWrImMDLGTUWnBwkJERK919+5djBs3DmfORANYjY0bB8HSUuxUVNrwGBYiInolQRCwfv16ODg4wMrKCvHxCgQHD+L1fEgUnLAQEdFLbt68CX9/fygUCmzevBm9e/cGoLkAIZEYOGEhoqKRy4HgYF4uVyQqlaYsqFT63Y5arcbKlSvh6OiIevXqITk5WVtWiMQkEwRBEDuErmRkZMDKygpKpRKW3MFKRBKSkQFYWQFKJfR2/MjVq1fh6+uLW7duYe3atejWrdsbn6NSAQsWALNmsctSyRXl9zcnLEREpVx+fj6WLFkCZ2dnNG3aFImJiUUqK4CmpISEsKyQ/kmysHh5eSEsLEzsGEREOqfrXUMKhQLt2rXD6tWrsX//fvzwww+oVKmSbl6cSIckWVhCQ0Mx+NklRImIJESlAubMefvCkpubi/nz56N58+bo2LEjLly4gA4dOugmJJEe8F1CRESlTHx8PLy9vZGbm4vIyEi0bNlS7EhEbyTJCQsREb1MpVLhiy++QNu2beHu7o5z586xrJDJ4ISFiKgUiI6Oho+PD+RyOaKiouDs7Cx2JKJi4YSFiEjCsrKyMH36dHTu3BnDhw9HdHQ0ywqZJE5YiIgk6sSJE/D19UW1atUQGxsLe3t7sSMRlRgnLEREJiAhQbNMSnrzY588eYIJEyagR48eGDduHE6ePMmyQiaPExYiIiMXFwc8O1PDqFGvf+zhw4fh5+eHevXqIT4+HnZ2dnrPR2QInLAQERm58HAgNVVz+/79Vz9GqVTC398fAwYMQFBQEI4ePcqyQpLCwkJEZOTc3QFra83tmjVf/vjevXthb2+PW7duITExEePGjYOZGX+8k7TwO5qIyMi5uAA7dmhuf/GFZpmQADx69AgjRozAiBEjMG/ePBw4cAC2trbiBSXSIx7DQkRkApycNMu5czXLPn0yIZMNRvv2laBQKFC7dm3xwhEZgMkVFqVSidDQUFStWhV16tRB586dxY5ERGQwz45h+fffChg4cBnCwppAJpOJG4rIAEyqsFy7dg2zZ8/G8uXLUa1aNbHjEBEZjCAIAPZBJnOBINRGzZr5+PxzJ7CrUGlhMsewpKenw9PTE8uWLWNZIaJS5c6dOxgypA8AX3z++SUAwG+/lYGLi7i5iAzJZApLcHAw3n//fSxYsACtW7fGjBkzkJeXJ3YsIiK9EQQB69atg4ODA6pVqw5AgTFjugD43zEtRKWFSewSyszMxLp16zB//nxMmTIFly9fRosWLZCfn4/Fixe/9PjGjRtr9+kGBgYiMDDQ0JGJiN7KjRs34O/vj8uXL2Pbtm1o164Hfv1V7FRE4jGJCUt0dDSysrIwfPhwyGQyNGrUCEOGDMGqVaugVqtfevzFixdx584d3Llzh2WFiEyKWq3Gjz/+CCcnJ9jZ2SE5ORk9evQQOxaR6EyisKT+9xSPFStW1K5zdXVFVlYW7t69K1YsIiKdunLlCjp16oSlS5di9+7dWL16NSwtLcWORWQUTKKwWFhYANAcePtMjRo1AABVqlQRJRMRka7k5eVh4cKFcHFxwYcffojExER06dKlwGPkciA4WLMkKo1M4hiWNm3aoGzZsjh79ixsbGwAAGlpaXBxcUGlSpVETkdEhqJSAQsWALNmSecXd1JSEnx8fJCRkYFDhw6hbdu2r3ycXA6EhAAZGYbNR2QsTGLCUq1aNUyePBmrVq3Srtu1axc+//xzEVMRkaGpVMCcOZqlqcvNzcXcuXPRsmVLdO3aFfHx8YWWFSIykQkLACxYsAAzZszA2LFjYWlpiY4dO2LgwIFixyIiKrbz58/Dx8cHarUax48fR/PmzcWORGT0TKawmJubY8mSJWLHICIqsezsbHz11VdYtmwZgoKCMGvWLJQrV07sWEQmwWQKCxGRKTt9+jR8fHxQsWJFnDlzBk488xtRsZjEMSxERKYqMzMTgYGB6NatG0aNGvXWZYXvFqLSihMWIiI9iYyMhJ+fH2rWrInz58+jYcOGb/2az94tRFTacMJCRKRjjx8/xvjx49G7d29MmjQJx48f10lZISrNOGEhItKhgwcPYvTo0ahfvz4SEhLw/vvvix2JSBI4YSEi0oH09HT4+PjAw8MDn3/+OY4cOcKyQqRDLCxERG9p9+7dsLe3R2pqKpKSkjB69GjtFeOJSDe4S4iIqIQePnyISZMm4eDBg1i2bBlGjhzJokKkJ5ywEBEVkyAI2L59O+zt7aFSqaBQKODp6cmyQqRHkiwsXl5eCAsLEzsGEUlQSkoKBgwYgIkTJ2LFihX4v//7P9SqVUvsWESSJ8ldQqGhobC0tBQ7BhFJiCAI2LhxI6ZMmYKePXtCoVCgevXqYsciKjUkOWEhImlKSCi4NJRbt26hZ8+emDVrFkJDQ7FlyxaWlbelUmnOgCeFS2+TQbCwEJFJiIsDBg/W3Pbw0NzXN7VajdWrV8PR0RG1a9eGQqGAu7u7/jdcGqhUwJw5LCxUZJLcJURE0hMeDqSmam6npAB79gAuLvrb3rVr1+Dv749r167ht99+Q/fu3fW3MSJ6I05YiMgkuLsD1taa29bWQJ8++tlOfn4+li1bhqZNm6Jx48ZISkpiWSEyApywEJFJcHEBduwAOnTQLPUxXbl06RJ8fHzw4MEDREREoFOnTrrfCBGVCCcsRGQynJwKLnUlLy8P33zzDZo1a4Y2bdogISGBZYXIyHDCQkSlWkJCAnx8fJCZmYmjR4+idevWYkciolfghIWISqWcnBwEBwejdevW+PjjjxEXF8eyQmTEOGEholInNjYW3t7eKFOmDE6dOgUXfb7diIh0ghMWIio1srKyEBQUhI4dO2LIkCGIiYlhWSEyEZywEFGpcOrUKfj4+MDKygoxMTFwcHAQOxIRFQMnLEQkaU+fPsXkyZPRvXt3+Pv7IyoqimWFyARxwkJEknXkyBH4+/vDxsYGcXFxaNCggdiRiKiEOGEhIslRKpUYM2YM+vXrh08//RSRkZEsK0QmjhMWIpKUffv2YcyYMWjUqBESExNRr149sSMRkQ5IcsLi5eWFsLAwsWMQSZJKBYSEGN9FdtPS0uDp6YlPPvkEISEh+OOPP1hWiCREkoUlNDQUg59dh56IdEqlAubMMa7CsnPnTtjb2yM9PR3Jycnw9fWFTCYTOxa9TkJCwSXRG0iysBBR6fDgwQN4eHjA398fixcvRnh4OOrUqSN2LHqTuDjg2R+VHh6a+0RvwMJCRCZDLgeCg4Fy5QT8+uuvsLe3hyAIUCgUGD58OKcqpiI8HEhN1dxOSQH27BE3D5kEHnRLRCZDLgf8/e/Cw2McoqOjsWbNGgwcOFDsWFRc7u7AmjWasmJtDfTpI3YiMgGcsBCRSRAEAevXr4eDgwMqV64MhULBsmKqXFyAHTs0t3fs0NwnegNOWIjI6N28eRP+/v5QKBTYsmULevXqJXYkeltOTgWXRG/ACQsRGS21Wo0VK1bA0dER9erVQ3JyMssKUSnFCQsRGaW//voLvr6+uH37Nnbt2oVu3bqJHYmIRMQJCxEVi75Pn5Gfn4/FixfD2dkZzs7OSExMZFkhIk5YiKjoXjx9RkSEbo+XVCgU8PHxQVpaGg4cOIAOHTro7sWJyKRxwkJERaav02fk5uZi/vz5aN68OTp16oQLFy6wrBBRAcWesOTl5cHcnIMZotJIH6fPiI+Ph7e3N3Jzc3Hs2DG0aNHi7V+UiCSn2BOWevXqISsrSx9ZiMjI6fL0GSqVCl988QXatm0Ld3d3nDt3jmWFiApV7FHJvXv34ODggICAAPj4+KBKlSr6yEVERkoXp8+Ijo6Gj48P5HI5Tp8+jaZNm+omHBFJVrEnLHXr1sWqVatw//59NG3aFN7e3oiJidFHNiKSmMzMTEyfPh2dO3fGiBEjEB0dzbJCREVS7MJy4MABuLm54bvvvsPVq1fx0Ucf4dNPP0XLli3xyy+/IDs7Wx85icjEHT9+HE2bNsXJkydx7tw5zJo1C2XLlhU7FhGZiGIXlsaNG2tvlytXDp988gmOHz+OX375BcuXL0edOnUwbdo0XL16VadBi8PLywthYWGibZ+I/ufJkyeYMGECevbsifHjx+PkyZMFfo4QERWFTt7us3fvXsybNw9xcXEAgEuXLsHHxwcVKlRAUFAQOnfurIvNFFloaCgsLS0Nuk0ietnhw4fh5+eHevXqIT4+HnZ2dmJHIiITVewJy5gxY7S3d+7ciWbNmqFv376IjY2Fh4cH4uPjsXfvXhw/fhzfffcdFi1ahFGjRkGtVus0OBEZr3///Rd+fn4YMGAAgoKCcPToUZYVInorxZ6wPDtOJTo6Gn/99RfMzc3h5eWFmTNnokGDBgUe6+TkhD179qBhw4YICQnBV199pbPgRGSc9u7dizFjxsDR0RGJiYmwtbUVOxIRSUCxJyx5eXnYvHkzbt26hfHjx+Pq1atYv379S2XlmdzcXKSkpOCnn35667BEZLwePXqEESNGYMSIEZg3bx4OHDjAskKFk8uB4GDNkqgISnQMS58+fbBq1SpYW1u/8bH//vsvMjMzUadOnZJsiohMwG+//YaAgAC0atUKCoUCtWvXFjsSGTu5HAgJETsFmZBiF5YWLVrg999/L/Lja9asiaNHj+K9994r7qaIyAg9/4dxamoqJkyYgMjISPz4448YOnQoZDKZ2BGJSIKKvUsoOjq62BtxdXXlaJhIIjSFRUBY2GY4ODjA3NwcCoUCw4YNY1khIr3hVQyJqFju3LmDsWPHIjY2FuvWrUP//v3FjkREpUCxJyxEVDoJgoC1a9fCwcEB1apVg0KhYFkhIoPhhIWI3ujGjRvw9/fH5cuXsW3bNvTo0UPsSERUynDCQkSFUqvV+PHHH+Hk5AQ7OzskJyezrBCRKDhhIaJXunLlCnx9fXHv3j2Eh4cb/BIbRETPM7kJy759+/gWaSI9ysvLw8KFC+Hi4oLmzZsjISGBZYWIRGdSE5b09HRMmjQJgiCIHYVIkpKSkuDj44OMjAwcOnQIbdu2FTsSEREAE5uwzJ49G56enmLHIJKc3NxczJ07Fy1btkTXrl0RHx/PskJERsVkJiy///47WrRoIXYMIsk5f/48fHx8oFarcfz4cTRv3lzsSERELzGJCcs///yDiIgIjBo1qkiPb9y4MWxsbGBjY4MlS5boNxyRicrOzsZnn32G9u3bo1+/foiNjWVZISKjZRITli+++AJz584t8uMvXrwIS0tLPSYiMm1nzpyBj48PKlSogDNnzsDJyUnsSEREr2X0E5bt27fD1dUVtWrVEjsKkcnLzMxEYGAgunbtCk9PT5YVIjIZRj9hWb16NSIjIzF06NAC62UyGf7880+4urqKE4zIxERGRsLPzw81a9bE+fPn0bBhQ7EjEREVmdEXlrVr1+LJkyfa++Hh4Vi9ejX27dsHOzs7EZMRmYbHjx8jKCgIGzduxNdff42AgACUKVNG7FhERMVi9IXlxVISHx+PcuXKwdnZWZxARCbk4MGDGD16NOrXr4+EhAS8//77YkciIioRoz+GhYiKLz09HT4+PvDw8MDnn3+OI0eOsKwQkUkzucIyatQo/P3332LHIDJau3fvhoODA1JTU5GUlITRo0dDJpOJHYuI6K0Y/S4hIiqahw8fYtKkSTh48CCWLVuGkSNHsqgQkWSY3ISFiAoSBAHbt2+Hvb09VCoVFAoFPD09WVaISFI4YSEyYSkpKQgICMDJkyexYsUKDB48mEWFiCSJExYiEyQIAkJDQ+Hg4ID//Oc/UCgU8PDwYFkhIsliYSEyMbdu3ULPnj0xa9YsbNiwAVu2bEH16tWL/ToqFRASAmRkaJYqlc6jEhHpDAsLkYlQq9VYs2YNHB0dUbt2bSgUCri7u5f49VQqYM4cTWGZM4eFhYiMG49hITIB169fh5+fH65du4bffvsN3bt3FzsSEZFBccJCZMTy8/Px/fffw8nJCY0bN0ZSUhLLChGVSpywEBmpS5cuwdfXF/fv30dERAQ6deokdiQiItFIcsLi5eWFsLAwsWMQlUheXh6+/fZbfPjhh2jTpg0SEhJYVoio1JPkhCU0NBSWlpZixyAqtsTERHh7eyMzMxNHjhxB69atxY5ERGQUJDlhITI1OTk5CAkJQatWrfDxxx8jLi6OZYWI6DmSnLAQmZLY2Fj4+PjAzMwMp06dgouLi9iRiIiMDicsRCLJzs7GzJkz0bFjR3h4eCAmJoZlhYioEJywEIng1KlT8PX1haWlJWJiYuDg4CB2JCIio8YJC5EBPX36FFOmTEH37t3h5+eHqKgolhUioiLghIXIQI4ePQo/Pz/UqVMHcXFxaNCggdiRiIhMBicsRHqmVCoxZswY9O3bF4GBgTh27BjLChFRMXHCQqRH+/fvx+jRo9GoUSMkJiaiXr16YkciIjJJnLAQ6UFKShqcnb0wbNgwhISE4I8//jDaspKUpFkmJIibg4jodVhYiHRs165dcHFxwIUL/+D06ST4+vpCJpOJHatQo0Zplh4eQFycqFGIiArFwkKkIw8ePMCQIUPg5+eHuXMXAtiLOnVsxI5VqGcTlfv3NcuUFGDPHvHyEBG9DgsL0VsSBAFbt26Fvb098vPzoVAoMGTICADGO1WJiwMGD9bcNvvvTwFra6BPH/EyERG9Dg+6JXoL9+7dw7hx43DmzBmsXr0agwYNAgBkZIgc7A3Cw4HUVM1ttVqz3LED4Il2ichYccJCVAKCIGD9+vWwt7eHpaUlFAqFtqyYAnd3zUQFAGrW1CydnMTLQ0T0JiwsZDJUKiAkRLMU082bN+Hm5oYvvvgCmzdvxqZNm1CtWjVxQxWTi4tmogIAGzaIGoWIqEgkWVi8vLwQFhYmdgzSMZUKmDNHvMKiVquxcuVKNGnSBLa2tkhOTkbv3r3FCaMDzyYqjo7i5iAiKgpJHsMSGhoKS0tLsWOQhFy9ehW+vr64desWdu7ciW7duokdiYioVJHkhIVIV/Lz87F48WI4OzujadOmSExMLFZZWbBA/F1YRERSwMJCOmMsx5joikKhQLt27bBmzRrs378fP/zwAypVqlSs1/jmG+l8PoiIxMTCQjoj9jEmupKbm4v58+ejefPm6NixIy5cuIAOHTqIHYuIqFST5DEsRCUVHx8Pb29v5ObmIjIyEi1bthQ7EhERgRMWMiHPTiWvj4v0qVQqfPHFF2jbti3c3d1x7tw5lhUiIiPCCQuZhOdPJe/hAURE6O6srNHR0fDx8YFcLkdUVBScnZ1188JERKQznLCQSXj+VPK6ukhfVlYWpk+fjs6dO2PEiBGIjo5mWSEiMlKcsJBJcHcH1qzRlBVdXKTvxIkT8PX1RbVq1XDu3Dk0btxYN0GJiEgvOGEhk/D8qeTf5iJ9T548wYQJE9CjRw+MGzcOJ0+eZFkhIjIBLCxkMp6dSr6kF+k7fPgwHB0dkZSUhPj4eEydOhVlypTRXcDnPH9gsD4OEiYiKm1YWEjylEol/P39MWDAAAQFBeHo0aOws7PT2/bi4oC+ff93v39/zToiIio5FhaStL1798Le3h63bt1CYmIixo0bBzMz/X7bh4cDaWn/u//PP7o5SFhf5HIgOFizJCIyViwsJDkqFTBjxiMMGzYCI0aMwLx583DgwAHY2toaZPvu7kC1av+7X7362x8krE9yueaSCiwsRGTMWFhIcrZv/w0LF9pDqcyAQqGAt7c3ZDKZwbbv4gL8/vv/7u/apbtzxhARlVaSLCxeXl4ICwsTOwbp2Jt2XaSmpmLQoEGYOnUsgKXYunU3ateubdCMzzx/YHBJDxLWN+4KIiJTIsnCEhoaisHPTotKklHYrgtBELB582Y4ODjA3NwcZ88qAHxi0KmKKeKuICIyJTxxHOnM89f6ad/eMNu8c+cOxo4di9jYWKxbtw79+/dHRoZhtk1ERIYjyQkLGd6L1/rR99t4BUHAunXr4ODggOrVq0OhUKB///763SgREYmGExbSiRev9bNrF7B7NzBrlu53Ody4cQP+/v64fPkytm3bhh49euh2A0REZHQ4YSGdcHfXXOMH0Cy7dwfmzNG8xVhX1Go1fvzxRzg5OcHOzg7JycksK0REpQQnLKQTz67106GDZqnrd8ZcuXIFvr6+uHv3Lnbv3o0uXbrodgNERGTUOGEhnXnba/28Sl5eHhYuXAgXFxc0b94ciYmJbywrzx/8K7aZM/kuHCIiXeCEhYxWUlISfHx8kJGRgUOHDqFt27ZvfM6LB/9GRIh70jZ9HMNDRFQaccJCRic3Nxdz585Fy5Yt0bVrV8THxxeprAAvH/xrzNfwISKiouOEhfSipOdkOX/+PHx8fKBWq3H8+HE0b968WNt1dwfWrNGUFWtr476GDxERFR0nLKRzCQnFPydLdnY2PvvsM7Rv3x79+/dHbGxsscsK8L+DfwHNktfwISKSBk5YSOciIl7eLfO64nD69Gn4+PigYsWKOHPmDJze8qhdfRz8S0RE4jKJCcvNmzfh5uYGCwsLuLi44M8//xQ7Er1Gr14Fz8lS2G6ZzMxMBAYGolu3bvD29tZJWSEiImky+sIiCAL8/f3RrVs3rFy5EoIgoHfv3rh27ZrY0agQTk5v3i0TGRkJJycnREdH4/z585gxYwbMzTnwIyKiVzP6wpKUlISgoCBMnz4dI0eOxB9//AGZTIa9e/eKHY1eo7DdMo8fP8b48ePRu3dvTJo0CcePH0fDhg0NH5CIiEyK0f9J27BhQzRp0kR7v0aNGrC3t4ecJ7cwOQcPHsTo0aNRv359JCQk4P333xc7EhERmQijn7CUK1fupXXp6eno3bt3oc9p3LgxbGxsYGNjgyVLlugzHhVBeno6vL294eHhgc8//xxHjhyRfFmRy4HgYJ40johIV4x+wvKi48ePY8CAAbCxsSn0MRcvXoSlpaUBU1FhIiJ2IzBwLFxcXJCUlIS6deuKHckg5HIgJETsFERE0mFShSU3Nxdbt27FsmXLxI5Cb5CR8RCOjpMQEHAQ33//PUaMGAGZTCZ2LCIiMlFGv0voeYsXL8Znn33G41eMmoD/+7/tcHGxh51dNpKTkzFy5EiDlhXujiEikh6ZIAiC2CGKYt26dWjevDmcnZ0BACqVCubm5ihTpoz2MRkZGbCysoJSqeQuIRH8/XcKevQIwKNHJ7F8+XIMHjyYUxUiInqjovz+NokJy8qVK3H9+nWkpqbiwIED2LlzJ/z8/PjL0EgIgoCNGzeiWTMHODvLkZycDA8PD359iIhIZ4z+GJb169cjICAAALBgwQLt+okTJ8LMzCT6lqTdunULY8aMwYULF/DLL7+gb9++YkciIiIJMvrf+D4+PhAE4aX/fvjhB7GjlWpqtRpr1qyBo6MjrK2tkZyczLJCRER6Y/QTFjI+169fh5+fH65evYqwsDC4ubmJHYmIiCTO6CcsZDzy8/Px/fffw8nJCY0aNUJSUhLLChERGQQnLFQkly5dgq+vL+7fv4+IiAh06tRJ7EhERFSKcMJCr5WXl4dvv/0WH374IVq3bo2EhASWFSIiMjhOWKhQiYmJ8Pb2RmZmJg4fPow2bdqIHYmIiEopTljoJTk5OQgJCUGrVq3g5uaG8+fPs6wQEZGoOGGhAmJjY+Hj4wOZTIaTJ0+iWbNmYkciIiLihIU0srOzMXPmTHTs2BGDBw9GTEwMywoRERkNTlgIp06dgq+vLywtLXH27Fk4OjqKHYmIiKgASU5YvLy8EBYWJnYMo/f06VNMmTIF3bt3h5+fH6KiolhWiIjIKElywhIaGsqrNb/B0aNH4efnhzp16iAuLg4NGjQQOxIREVGhJDlhocIplUqMGTMGffv2RWBgII4dO8ayQkRERk+SExZ6tf3792P06NFo2LAhEhIS8N5774kdiYiIqEhYWEqBtLQ0TJ06Fb///jsWL14MX19fyGQysWMREREVGXcJSdyuXbtgb2+PR48eITk5GX5+fiwrRERkcjhhkagHDx5g4sSJOHz4MH744Qd88sknLCpERGSyOGGRGEEQsHXrVtjb2yM/Px8KhQLDhw9nWSEiIpPGCYuE3Lt3D+PGjcOZM2ewevVqDBo0SOxIREREOsEJiwQIgoD169fDwcEBlpaWUCgULCtERCQpnLCYuJs3b8Lf3x/JycnYtGkTevfuLXYkIiIineOExUSp1Wr8+OMqNGjQBDY2tkhOTmZZISIiyeKExQRdvXoVvr6++Pvvm8jJ+T8sW/YReCUCIiKSMk5YTEh+fj6WLFmCpk2bwsnJCadPJwH4SOxYREREescJi4lQKBTw8fHBo0ePcODAAXTo0AEZGWKnIiIiMgxOWIxcbm4uvv76azRv3hwdO3ZEQkICOnToIHYsIiIig+KExYjFx8fD29sbubm5iIyMRMuWLcWOREREJApJTli8vLwQFhYmdowSU6lU+PLLL9G2bVv06dMH586de2VZSUgouCQiIpIqSU5YQkNDYWmib5uJjo6Gj48P5HI5oqKi4Ozs/MrHxcUBgwdrbnt4ABERgIuL4XISEREZkiQnLKYoKysL06dPR+fOnTF8+HBER0cXWlYAIDwcSE3V3E5JAfbsMUxOIiIiMbCw6JFKBYSEaJavc+LECTRt2hQnTpxAbGwsPvvsM5QtW/a1z3F3B6ytNbetrYE+fXSTmYiIyBixsOiRSgXMmVN4YXny5AkmTpyIHj16YOzYsTh16hTs7e2L9NouLsCOHZrbO3ZwdxAREUkbC4tIDh8+DEdHRyQmJiI+Ph6BgYEoU6ZMsV7DyangkkxMUUdwRETEwmJoSqUS/v7+GDBgAIKCgnD06FHY2dmJHYvE8KYRHBERaUnyXULGau/evRgzZox2smJrayt2JCIiIpPACUsRvc30Pi3tEUaMGIERI0Zg3rx5OHDgAMsKERFRMbCwFFHJp/e/oWVLe2RkZEChUMDb2xsymUwfEYmIiCSLu4T05P79+xg9OgBAJL755kd4ew9lUSEiIiohTlh0TBAEbN68Gfb29jA3NwegwKBBw/RSVuRyIDhYsyQiIpIyTlh06M6dOxg7dixiY2Oxbt06dO3aHzt36m97crnmuBoiIiKp44RFBwRBwLp16+Dg4IDq1atDoVCgf//+YsciIiKSDE5Y3tKNGzfg7++Py5cvY9u2bejRo4fYkYiIiCSHE5YSUqvVWL58OZycnGBnZ4fk5GSWFSIiIj3hhKUErly5Al9fX9y9exe7d+9Gly5dXvm4hIT/Ldu3N2BAIiIiiZHkhMXLywthYWF6eOU8fP/9Qri4uODDDz9EYmJioWUlLg4YPFhz28NDc5+ogOcbLRERvZYkJyyhoaGwtLTU6WsqFEkAfLBxoxJ//PEH2rVr99rHh4cDqama2ykpwJ49vKIyPefFRhsRwW8QIqLXkOSERR8CA38CMB+rVl14Y1kBAHd3wNpac9vaGujTR7/5yMS8qtESEVGhWFiKIC4OuHHjewAfwdOzfJF277i4ADt2aG7v2ME/nukFbLRERMXCwlIEmj+GNWeqLc4fw05OBZdEWmy0RETFwsJSBPxjmPSCjZaIqMhYWIqAfwwTERGJi4WliPjHMBERkXhYWIhepFJpriqpUomdhIiI/ouFhehFKhUwZw4LCxGREWFhISIiIqPHwkJERERGj4WFiIiIjJ5JFZYFCxbA398fw4cPx9GjR0XKwEMbiIiIDM1kCsvy5cvx119/Ye3atfj5558xfvx4XLt2zeA5vvmGhYWIiMjQTKKw5OTkICQkBF5eXgCA8uXLw83NDfPnzxc5GRERERmCSRSWU6dO4dGjR3B0dNSua9q0Kfbu3StiqjeTy4HgYM2SiIiISs4kCotCoYCZmRmqVKmiXVelShU8fPgQ6enpLz2+cePGsLGxgY2NDZYsWaKTDHI5MHNm8Z8TEsLCQoVgoyUiKjJzsQMUhVKpROXKlWFm9r9+Jf/vD/nMzMwCRQYALl68CEtLS51mkMuBWbM0x7AQ6cSzRktERG9kEhOWqlWrQvXCka5ZWVkA8FJZISIiIukxicJSv359PH36FNnZ2dp1Dx8+hI2NDSpUqCBiMiIiIjIEkygsrq6uqF69OmJiYrTrFAoFevXqJWIqkqyEhIJLIiISnUkUlrJly2Lq1KnYuXMnAODp06c4dOgQZhb3KFiiN4mLAwYP1tz28NDcJyIi0ZlEYQGAoKAgmJubY/LkyQgICMC6detQr149g2bgH96lQHg4kJqquZ2SAuzZI24eIiICAMgEQRDEDqErGRkZsLKyglKp1Pm7hOLigJ49Nb/LrK2BiAjAxUWnmyBjEBcH9OqlKSv8QhMRGURRfn+bzIRFbPzDu5RwcQF27NDc3rGDZYWIyEiwsBSRu7vmD25As+zTR9w8pEdOTgWXREQkOhaWIuIf3kREROJhYSkG/uFNREQkDhYWIiIiMnosLERERGT0WFiIiIjI6LGwEBERkdFjYSEiIiKjJ8nC4uXlhbCwMLFjEBERkY6Yix1AH0JDQ3V+an4iIiISjyQnLERERCQtLCzFIJcDwcGaJRERERmOJHcJ6YtcDoSEiJ2CiIio9OGEhehFHKURERkdTliIXsRRGhGR0eGEhYiIiIweCwsREREZPRYWIiIiMnosLERERGT0WFiIiIjI6LGwEBERkdFjYSEiIiKjx8JCRERERo+FhYiIiIweCwsREREZPUkWFi8vL4SFhYkdg4iIiHREkoUlNDQUgwcPFjsGvcKSJUvEjkCF4NfGePFrY7z4tTEcmSAIgtghdCUjIwNWVlZQKpWwtLQUOw69go2NDe7cuSN2DHoFfm2MF782xotfG90oyu9vSU5YDMFQu5ykth1DkNrnTEpfG8Aw/x5+bUpGSp83fm2ktx1zPeQQzbNhUUZGht639euvv8LNzY3bKSZBEPT+9ZHa50xKXxvAMP8efm1KRkqfN35tTGs7zz6Hr9vpI6ldQnfu3EHdunXFjkFEREQlcPv2bdjY2LzyY5IqLGq1Gvfu3YOFhQVkMpnYcYiIiKgIBEHA48ePUbt2bZiZvfpoFUkVFiIiIpImHnRLRERERo+FhYiIiIweCwsREREZPUm9rXnBggW4fv06MjMz4evriy5duogdiQDcvHkTo0ePRlRUFOzs7LBkyRJ07txZ7Fj0gn379iEgIAA3btwQOwq9QKlUIjQ0FFWrVkWdOnX4/4/Injx5gqCgIFhaWiIvLw8qlQoLFy6EXC4XO5qkSeag2+XLl+P8+fNYv349srOz4ezsjIiICNSvX1/saKWaIAhwc3PDRx99hFq1amHx4sX466+/kJCQwK+NEUlPT0eLFi2Ql5eHv//+W+w49Jxr165h9uzZWL58OapVqyZ2HAIQEBCA+vXrIzAwEAAwYcIEVKlSBXPnzhU5mbRJYpdQTk4OQkJC4OXlBQAoX7483NzcMH/+fJGTUVJSEoKCgjB9+nSMHDkSf/zxB2QyGfbu3St2NHrO7Nmz4enpKXYMekF6ejo8PT2xbNkylhUjEhkZCVtbW+39Jk2aICEhQcREpYMkCsupU6fw6NEjODo6atc1bdqUvxSNQMOGDdG1a1ft/Ro1asDe3p6jUyPy+++/o0WLFnj33XfFjkIvCA4Oxvvvv48FCxagdevWmDFjBvLy8sSOVeo5OTlh5cqVUKvVAIDY2FiMHTtW5FTSJ4nColAoYGZmhipVqmjXValSBQ8fPkR6erqIyahcuXIvrUtPT0fv3r1FSEMv+ueffxAREYFRo0aJHYVekJmZiXXr1qFZs2ZYunQpNmzYgFWrViEoKEjsaKXekiVLcP36dXh6eiIqKgr9+vVDjx49xI4leZIoLEqlEpUrVy5wdrxnf8FnZmaKFYte4fjx4xgwYEChp14mw/riiy+4391IRUdHIysrC8OHD4dMJkOjRo0wZMgQrFq1SvuXPYnD2toa27dvh5WVFXr27Mmvh4FIorBUrVoVKpWqwLqsrCwAKDB1IXHl5uZi69at+Oqrr8SOQgC2b98OV1dX1KpVS+wo9AqpqakAgIoVK2rXubq6IisrC3fv3hUrFgG4ePEiTp8+jRUrVmDRokUYMGAADh48KHYsyZNEYalfvz6ePn2K7Oxs7bqHDx/CxsYGFSpUEDEZPW/x4sX47LPPePyKkVi9ejWGDh0KmUwGmUwGb29v3Lx5EzKZDJGRkWLHK/UsLCwAoMBu7Ro1agDgH2Ji8/PzQ4cOHbS3J0yYgGnTpomcSvokUVhcXV1RvXp1xMTEaNcpFAr06tVLxFT0vHXr1uHjjz/WXk1bpVIhPz9f5FSl29q1axEXF6f9b86cObC2tkZcXByaN28udrxSr02bNihbtizOnj2rXZeWlgYXFxdUqlRJxGR04cKFAsfn+fr64vbt2yImKh0kUVjKli2LqVOnYufOnQCAp0+f4tChQ5g5c6bIyQgAVq5cievXryM1NRUHDhzAzp074efnxytqi8zOzg7Ozs7a/959912UK1cOzs7O/IVoBKpVq4bJkydj1apV2nW7du3C559/LmIqAoAePXpg//792vuXL1/mGwkMQDInjsvPz8fMmTORk5MDpVIJf39/tGvXTuxYpd769evh6+v70vqJEyfihx9+ECERFWbDhg0ICQnhieOMSF5eHmbMmIHMzExYWlrC1tYWAQEBYscq9ZRKJaZNm4batWujUqVKSE1NxZdffgkrKyuxo0maZAoLERERSZckdgkRERGRtLGwEBERkdFjYSEiIiKjx8JCRERERo+FhYiIiIweCwsREREZPRYWIiIiMnosLERERGT0WFiIiIjI6LGwEBERkdFjYSEiIiKjx8JCRERERo+FhYiIiIweCwsRGaWAgACULVsWMpkMMpkMDg4OAICFCxfCzMwMMpkM3bp1EzklERmKTBAEQewQRESvcv78eXTu3BkZGRmIiIhAz549kZubiw8++ABz587FyJEjxY5IRAbCwkJERi08PBx9+/ZFgwYNEBcXh+DgYFhbWyMwMFDsaERkQCwsRGT0AgMDsXTpUrRr1w4ffPABfvnlF7EjEZGBsbAQkdHLzc1Fu3btEBMTg507d6J///5iRyIiA+NBt0Rk9B4/fgy5XI4qVarA398ft2/fFjsSERkYCwsRGbW8vDyMHDkSixYtwrp16/Do0SMMGTIEeXl5YkcjIgNiYSEioxYYGIj+/fujVatWGDBgAMaPH4/Tp09jxowZYkcjIgPiMSxEZLQWL16MXbt24eTJk9p1T58+RfXq1ZGdnY21a9fCz89PxIREZCicsBCRUZo6dSqmTZuGM2fOYP78+dr1/fv3R3Z2NgDA398fXbp0ESsiERkQJyxERERk9DhhISIiIqPHwkJERERGj4WFiIiIjB4LCxERERk9FhYiIiIyeiwsREREZPRYWIiIiMjosbAQERGR0WNhISIiIqPHwkJERERGj4WFiIiIjN7/Az393CJGkQ5AAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now make some outliers\n", "# The outlier probability will be 80%:\n", "true_frac = 1.- f_true\n", "\n", "# The linear model has unit slope and zero intercept:\n", "true_params = [1.0, 0.0]\n", "\n", "# The outliers are drawn from a Gaussian with zero mean and unit variance:\n", "true_outliers = [0.0, 1.0]\n", "\n", "# this is old way of making x&y\n", "#np.random.seed(12)\n", "#x = np.sort(np.random.uniform(-2, 2, 15))\n", "#yerr = 0.2 * np.ones_like(x)\n", "#y = true_params[0] * x + true_params[1] + yerr * np.random.randn(len(x))\n", "\n", "# replace some with outliers, about 20% of the N=25, keep an array m_bkg of who is an outlier\n", "m_bkg = np.random.rand(len(x)) > true_frac\n", "\n", "# orginal way\n", "#y[m_bkg] = true_outliers[0]\n", "#y[m_bkg] += np.sqrt(true_outliers[1] + yerr[m_bkg] ** 2) * np.random.randn(sum(m_bkg))\n", "# my way, push the y value some sigma away from true line\n", "#y[m_bkg] = y[m_bkg] + 0.5*np.random.choice([-1, 1], size=sum(m_bkg))\n", "\n", "# push the outliers farther from line than random scatter points\n", "dd = y[m_bkg]-(m_true*x[m_bkg]+b_true)\n", "y[m_bkg] = y[m_bkg] + 2.*dd/abs(dd)\n", "\n", "# show the data and which ones have been altered\n", "print(' x y yold m_bkg')\n", "for r,s,e,b in zip(x,y,oy,m_bkg): \n", " print(3*'%6.3f ' % (r,s,e),b)\n", "\n", "# Let's look at the new distribution\n", "fig = plt.figure()\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.errorbar(x[~m_bkg], y[~m_bkg], yerr=yerr[~m_bkg], ls='', marker='.', color='blue', label='Data')\n", "ax.errorbar(x[m_bkg], y[m_bkg], yerr=yerr[m_bkg], ls='', marker='.', color='red', label='Outliers')\n", "ax.plot(x, m_true*x + b_true, color='black', ls='-', label='True Relation')\n", "ax.set_ylabel('y', fontsize='x-large')\n", "ax.set_xlabel('x', fontsize='x-large')\n", "ax.minorticks_on()\n", "ax.legend(loc='best');" ] }, { "cell_type": "markdown", "id": "6ed73ca0-530b-4e3b-9946-dc144f902140", "metadata": {}, "source": [ "Let's perform a least-squares fit on all the data, including the outliers, see how this differs from the known true relation" ] }, { "cell_type": "code", "execution_count": 354, "id": "70c6066c-0a06-4723-987e-9a191ed0a7e0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Least squares fitting result:\n", "slope: 1.04\n", "y-intercept: -0.19\n" ] } ], "source": [ "# Then save the *true* line.\n", "x0 = np.linspace(0., 10., 200)\n", "y0 = np.dot(np.vander(x0, 2), true_params)\n", "\n", "A = np.vstack((np.ones_like(x), x)).T\n", "C = np.diag(yerr * yerr)\n", "cov = np.linalg.inv(np.dot(A.T, np.linalg.solve(C, A)))\n", "b_ls, m_ls = np.dot(cov, np.dot(A.T, np.linalg.solve(C, y)))\n", "print('Least squares fitting result:')\n", "print('slope: {0:1.2f}'.format(m_ls))\n", "print('y-intercept: {0:1.2f}'.format(b_ls))" ] }, { "cell_type": "code", "execution_count": 355, "id": "4d78a352-aca1-47f0-bb07-fcb6764d9e2d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.errorbar(x[~m_bkg], y[~m_bkg], yerr=yerr[~m_bkg], ls='', marker='.', color='blue', label='Data')\n", "ax.errorbar(x[m_bkg], y[m_bkg], yerr=yerr[m_bkg], ls='', marker='.', color='red', label='Outliers')\n", "ax.plot(x, m_true*x + b_true, color='black', ls='-', label='True Relation')\n", "ax.plot(x, m_ls * x + b_ls, color='red', ls=':', label='Least Squares')\n", "ax.set_ylabel('y', fontsize='x-large')\n", "ax.set_xlabel('x', fontsize='x-large')\n", "ax.minorticks_on()\n", "ax.legend(loc='best');" ] }, { "cell_type": "markdown", "id": "1b6aaee1-0c6b-43e4-97dd-b3ee43997735", "metadata": {}, "source": [ "Not to bad for random.seed(41), it varied with other seed values (try it). Outiers did not seem to confuse the fit. Let's try a maximum likelihood fit." ] }, { "cell_type": "code", "execution_count": 357, "id": "681b4203-31fe-4982-8e55-1d5dbf7be47d", "metadata": {}, "outputs": [], "source": [ "# define a likelihood function.\n", "\n", "import scipy.optimize as op\n", "\n", "def lnlike(theta, x, y, yerr):\n", " b, m, lnf = theta\n", " model = m * x + b\n", " inv_sigma2 = 1.0/(yerr**2 + model**2*np.exp(2*lnf))\n", " return -0.5*(np.sum((y-model)**2*inv_sigma2 - np.log(inv_sigma2)))" ] }, { "cell_type": "code", "execution_count": 359, "id": "7bc58796-6ec5-4bf3-965a-15fdbe8d57bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum likelihood result:\n", "slope: 1.01\n", "y-intercept: -0.28\n", "ln(f): -1.09\n" ] } ], "source": [ "# let's make some initial guesses for our parameters\n", "# remember this is now theta and b_perp\n", "p2 = [b_ls, m_ls, f_true]\n", "nll = lambda *args: -lnlike(*args)\n", "\n", "# minimize that function, i.e. find the critical point\n", "result = op.minimize(nll,\n", " p2,\n", " args=(x, y, yerr))\n", "if not(result['success']):\n", " print(\"Max likelihood failed.\")\n", " print(result['message'])\n", "\n", "ml_b, ml_m, ml_f = result['x']\n", "print(\"Maximum likelihood result:\")\n", "print(\"slope: {0:1.2f}\".format(ml_m))\n", "print(\"y-intercept: {0:1.2f}\".format(ml_b))\n", "print(\"ln(f): {0:1.2f}\".format(ml_f))" ] }, { "cell_type": "code", "execution_count": 360, "id": "87bc2bb4-89be-469b-be7c-f627998e29af", "metadata": {}, "outputs": [ { "data": { "image/png": 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x312OHz9Ojx49OHHiBD/88AMNGjSI95TGgL3uDjllhUVERCTNunYNTp6EAgVg9uzYYfXvFBUVxdSpUylbtiylSpXiwIEDCSYr8+bBq68mU8yJ4JQVFhERkTRr2jRrluWJE602K3c5dOgQ3bt35/Lly/zyyy/UqFEj3tMdOACenlCjBpQsmVxBJ0wVFhERkdQuLAyGD4fAQGs5YcI9u0RGRjJ+/HjKly9P1apV2bt3b4LJSlQUtG9vtdMtWNAassVeVGERERFJzaKibjekvXUL3N3v2WXv3r1069aNkJAQ1q9fT+XKleM9pZ8f/PYbDBxoJSsPGK0/RanCIiIiklr98AO0agUuLjB+vNVu5Q7h4eGMHDmSKlWq0KhRI/z8/OJNVkJDrYa1WbLcHrnfEZIVUIVFREQk9dm7F0qUgAYNoFSp++6yc+dOunXrRrp06di8eTM+Pj7xntIYqFcPRoyAF16AZ55JjsAfnSosaci4cePInz8/NpsNm81Gjhw5aNmypb3DSpAxhhkzZlClShWqVatGvnz5Yp/D2rVr7R2eiEjKMgbeeAM2bQI3t3tawoaEhDB06FBq1qxJ27Zt2blzZ7zJys2b1pRCNpvVqahhw+R+Ao9GCUsa8vbbb3P48GFcXV1xc3Pjzz//ZPHixXaN6f33309wn+HDhzNjxgyWLVvGpk2bOHfuHF9++SXp7jNSo4iI0zpxAkaPtjKLdeugbt17dtm8eTPe3t5s2LCBnTt38s4775DhroHi7vbnn/Dxx9YtoOLF7zsIrkNQwpLGuLu789hjj/HEE0+QN29eu8YSGBjI9OnT490nJCSEqVOn0qNHDx577DEAXFxc6NGjBwMGDEiJMEVE7Cs62mpYmyULREZa6+njtui4efMmb775Jg0aNKBXr15s2bKFUg+4VRRj0CCrslK+PPzyi9UMxpE5eHiSHNKlS2f36kRkZCRdunTh7Nmz8e4XFBREWFgYv//++z2PtW/fPrnCExFxHD16wOefQ758MGbMPSWQdevWUaZMGfz8/PD39+ett96K9z3+3DlrWbu2VVFJLZSwSLz8/Pxo2bIl1apVo2DBgkycODHO43PnzqVatWpUrlyZokWL8uWXX8Z5fPbs2VSpUoXy5cvj4uJCvXr1APjwww/x8/MDoFatWjRq1Oi+18+bNy+lSpVi8eLFtGrVikuXLsU+Vq5cudjzxThx4gTt27enRo0aeHt7M2zYMJ577jn++usvZs6cSe7cubHZbMyZMweAOXPmkCtXrjjbAHbs2EHdunWpXbs2hQoV4o033iAyMhKAPXv20K9fP/LkycO5c+eoXLky+fLl4/jx4wm+ZlFRUbzxxhtUq1aNYsWKYbPZGDt2bGJ/HSKSVhgDW7da60OHQqdO9+wSGBjIq6++yosvvsigQYPYsGEDTz/9dLynPXgQKlWyhm1p3Bieeio5gk8mxokEBgYawAQGBsa7X2RkpAkICDCRkZGPdqHQUGOCg631kBDrnzHWttBQa/3WrdvrN28aExZ2ez083Fq/ccOYiAhrPSjo9npgoDGPGlsiFC5c2JQtWzbB/Q4fPmx8fHzMxYsXjTHGfPvttwYw8+bNM8YYs3HjRmOz2czJkyeNMca8+eabxsXFxZw9e9YYY0xAQIApVqyYCfn39Vm+fLmpX79+7PlHjhxpEvMn6OfnZ/LkyWMAkyNHDjNhwgQTGvPa3uHIkSOmUKFCZuPGjcYYY8LDw039+vUNEBvj9u3bDWC+/vrr2OO2bt0aZ1tgYKDJlStX7M9LliwxgJk/f74xxpi9e/eahg0bGsC89957ZuHChaZ+/frmzJkzCb5mM2fONO3bt4+99pAhQ8yYMWMSfA2MSYK/WxFJPc6cMeaZZ4z555/7Prx8+XJTsGBBU69evdj3t/j8/LMxO3da69evJ12YSSUxn9+qsDyK8eOhXz9rfcQI6x9Y28aPt9Y7d7aGRwZo2RK++cZar1cPfvrJWq9UyWo4BVYr7507rXUPDzh8ONmfRkLGjBlDr169ePzxxwHo0KEDefLkYcqUKQD4+/uTPXt2nnzySQDq1q1LdHQ0f/31FwAHDhwgMDCQkJAQABo3bpzgqIr34+3tzd69e2nRogX//PMPQ4YMwdPTkzVr1sTZ77XXXqNFixZUr14dgAwZMtCqVas4+8Q8lzvly5cvzs+nTp3i2rVrlC1bNvZ5AbEVFC8vLypUqABAjx49aN26Nb/++iseHh4Jvmb79u3j6tWrRP87wMG7775L9uzZH/o1EREntWwZzJ9vfQ4cPHjPIHDXrl2jU6dOdOjQgdGjR/Prr7/GvgffjzHW8sQJiLkDf5+phVIFjcPyKIYPvz2izp29XD799HarJV/f2/cZFy++PQrh2rW3R+HZvh0yZbLWDx2CzJmt9b//hqxZk/c5JML69evZv38/8+fPj93m7u4em4B06dIlNjk4c+YMq1evBiAiIgKAqlWrEh4ejo+PD2PGjKF9+/a88847jxRLgQIFWLx4Mb/++iv9+/fn0KFDPP/888yfP5/WrVtz+fJl1q5dS/fu3eMc5/oIc6CXLl2aTZs24e3tzY0bN1iwYEGc5wXE3h/Onz9/nGMTes2ef/55mjdvTo0aNXj//fepUaMGb7755kPHKCJOJiLC+pzImPH258td7VAWL17Ma6+9RoUKFTh48CAFCxaM95Rnz0KjRrBxo9ULOrVTheVRuLreTi4yZbqddGTObD0GVmvumPWsWW8nKVmz3k5esmW73dI7e/bb625uDtGv7PLlywwdOpQNGzbE/jt27Bj79u0DIHv27GTIkIEOHTowbdo0KlasCFjjpgAULFiQHTt2ULJkSTp16kTJkiXZuHHjf4qpQYMG7N27l8GDBxMdHc0bb7xBdHR0bPUjRxJ8dbDZbJQoUYKBAwfSv39/vLy8gNvPKz4JvWZNmzZl1apVXL16lZo1a1KvXj3OnDnzn2MWkVQsJMSaXfDoUXj+eXjxxTgPX7x4kTZt2tCzZ08mTZrEsmXL4k1WLl26PVnzxx/fd6T+VMkpE5bOnTuzaNEie4eRah05cgSwKgPLli275/GAgAAAVq5cSa1atRg2bBgffPABTzzxxD37Fi9enJUrV7JmzRoiIyNp2LAhp0+ffqh4Pvjggzg/Z8iQgQkTJlCzZk0uXLjApUuXcHNzA0jww99msyV4vTNnzuDt7Y2XlxdfffVVbCKWGAm9ZmAlXfv372fatGls3bqVRo0aJSoZEhEnc+MG+PtbX3Z/+AGKFYvzsDGG77//PrZ7ckBAAB06dEjwfezjj60iv81m9QRKxNtequCUCYuvry+tW7e2dxipUmRkJEuWLAGgRo0aLFiwgNGjRxMeHg7A4cOHmTx5MgDvvPMOtWrVokyZMvc914IFCzhw4AAA9erVY/Xq1YSGhrLz37Y6iUkeYs5zvw/0woUL4+7uTu7cuSlatCjZsmXD19c3zj5RUVFxfs6SJQsAoaGh95wv5hpTp04lNDSUrl27Jhjb3XEl9JqNHj2ayMhI0qdPz2uvvcaUKVM4ePAg165dS/BaIuJkli+/Paty2bJxMouzZ8/SvHlzBgwYwOeff87ChQvjHTvrxg3o08catfa992DUqGSO3Q6cMmGR+N26dYtr167d82EbHh5Ov379eObfCSRGjhxJpkyZGDVqFNmzZ6dw4cJ4eXnRs2dPwPrw379/P2FhYURFRcW2YQkJCeHEiRMYY+jdu3fsh3FoaCiZM2fm2WefBSBXrlwAnDt3Dn9//9h2Hnfz9/ena9euXL9+PXbbzp07Wbx4MWPGjCFDhgy4uroyaNAgNm/ezMsvv8ymTZtYtGgRP/74Y5xzPfbYY+TLl48tW7YAEBYWxuzZswG4evVq7PO6fv167G2mFStWxHleQGz36sN3NY5O6DU7f/48AwcOjG0PExoaiqenJ7lz537wL0xEnIcxVjvI48ehXTv49tu7HjbMnj2bUqVKkSNHDgICAu7pPHD36W7dslobFCxoNYVxgBYFySPZ+yqloBTr1pxK7d271/zvf/8zgAFMiRIlTI0aNUzNmjVNxYoVTc6cOU3mzJnNrVu3Yo/ZtGmTqVixosmYMaMpXry4WbJkSexjmzdvNkWKFDHe3t6mf//+ZsWKFSZv3rymXbt25uDBg2bevHkGMNmyZTNVqlQx1apVM2vWrIk9/sqVK+bZZ581zz77bGy33/uJiTdjxoymXLlypnz58qZcuXJm7ty5cfaLjIw0AwcONG5ubqZAgQLmk08+MV9//XWcbs3GGLN06VKTP39+U6dOHTN48GDj5+dncuTIYTp37my2bNliLl68aJ577jnj4eFhevbsaVauXGnKly9vKlSoYNasWWNefvllky5dOgOYnDlz3hNHfK/Zq6++agCTN29eU6NGDdO4cWNz/PjxRP3+0urfrYjTiBneYupUY44evefhkydPmvr165uCBQua5cuXJ+qUU6YY06lTEsZoJ4n5/LYZ4zw3z4OCgnB3dycwMDC2TcP9REVFceTIEYoXL273EV8lec2ZM4euXbty8uTJeLv+pQb6uxVJxTZvhtdfh9277xkDPzo6mhkzZjBs2DDat2/PxIkTcY+npawxsHAhtGgBwcFWp6J/C9apVmI+v9WtWUREJLkEBEDu3FC5Mnz33T3JytGjR+nevTtnzpxhyZIl94zefT+RkTB3Lnh7w7938NMEtWERp3blyhXA6m4sIpLiJkyANWushiWenrGbo6KimDRpEt7e3nh7e7N///4Ek5WVK60iTYYMVnvdtJSsgCos4sT69+/PF198AVij7H700Ud0us98HCIiSeriRWuSwqlTYfbse6oqBw8epFu3bvzzzz+sXr2aatWqxXu606etgW+9vO6ZpDlNUYVFnNbUqVMJDg7GGMOlS5eUrIhI8jLGmlXQ3R0ef9zqsnNHshIREcG4ceOoUKECtWrVwt/fP8FkxRho0sQarbZgQahfP7mfhONKw7maiIhIEho50moF+9FH8L//xXkoZniGiIgIfv/999j5yB7k+HHrTlLv3rBlizUwelqnCouIiMh/sW6dVQrp0wfefjvOQ2FhYbzzzjtUrVqVZs2asXv37niTlago61QREdaEhcYoWYmhCouIiMijunULhgyBRYugSJE4D23fvp1u3brh6urK1q1bY2eAj0+LFtC1q7WMGQRXLKqwiIiIPKwNG2DiRGuI2V274iQrwcHBDBo0iNq1a/PKK6+wffv2eJOViAhrmBaw2uo+/3wyx55KpYoKy82bNxk6dChubm5ERkYSFhbGxIkTcY2ZDVlERJxaWBiMH2+Nam/Xt/6QEGuywjx5IGZunzvmANq4cSPdu3cnT5487N69m5IlSyZ4yoMHYcAAq61KIoowaVaqqLAMHTqUokWLMn78eCZOnEh0dDRjx461d1giIpJCwsJg9GhraTfGQPXqsH49lC4Nd/Q8vHHjBq+//jovvPACffv2ZdOmTQkmKxMnWg1rvb1h27a03WU5MVJFwrJhwwYKFy4c+3OZMmXYt2+fHSMSEZE0IyTEugVks8G8eVCrVpyH16xZQ5kyZThw4AD+/v70798/3ukzAgOtZZEi8Nhj1rpLqvg0tq9U8RJ5eXkxffp0oqOjAdi1axe9e/e2c1QiIpIm7N0LY8dak/Y8/XRsdvHPP//QvXt3WrVqxbBhw1i/fj3FihWL91QnTkCJElZb3VatrOqKJE6qSFgmT57MiRMn6NSpE1u2bOHFF1+kUaNGD9y/ZMmSeHh44OHhweTJk1MwUhERcRrjx1uVlcqVrXs3d5RBfv75Z0qVKsXZs2c5cOAAvXv3xiWeMsn27eDnZ1VVdu2y2urKw0kVCUv+/PlZsGAB7u7uvPDCC7GVlgc5dOgQf//9N3///TcDBw5MoSgdX9++fcmaNSs2m40CBQoQHh4e7/6vvvoqNpuNDBky8PTTT1OuXDlcXFyw2WzYbDY8PT1ZuXJlCkUvIpJCgoOtZZEit6dB/rdh7ZUrV+jQoQOdOnVi3LhxrFy5kieeeCLBU27cCP7+1nrBgskQcxqQKhKWQ4cOsXXrVqZNm8ZHH31Ey5YtWb16tb3DSnWmTZvGxo0bATh//jzffffdA/e9cuUKc+fOBeD999/n6NGj7Nmzh6FDhwJWQ+iAgIB4K10iIqnOyZPWbZ+bN6FtW2sCn38tWrQIT09Pbt26xcGDB+nSpQu2O3oI3e3KFauN7tWrMHiwNb6KPLpUkbD06NGD6tWrx66//vrrDBo0yM5RpU4+Pj7k/bcr3qRJkx6434wZM3B3dwegaNGisdtj7s8mNKy0iEiqcvw4BATAU0/B77/HGV72woULtGrVitdee41PP/2UJUuWUKBAgQee6tYt+PtvyJ3b6q6cI0cKxJ8GpIqEZe/evWTMmDH25+7du3PmzBk7RpR6ubi4UKJECerVq8fBgwfve0snPDycL774gj59+sQeEyOm5Xt8LeBFRFKd77+HX36x1v/9YmaMYe7cuXh6epIhQwYCAgJo27ZtvFUVgEmTrC7LNhu0bAl6u0waqSJhadSoUZwP1j///JMmTZrYMaLU76233gLgo48+uuex7777jmrVqiXqvqyISKp186Y1lsq1a/DOO3BH5f7vv/+mSZMmDBkyhK+++or58+fzWEwf5PsIDbVOcfMmDB0KU6akxBNIW1JFwjJr1iyOHDnCyJEjmThxIlu2bGHatGl2iycszOqWD9YfaWiotR4ScntQo+Dg2+u3bkFM+9Zbt6xhmMH6w46MtNZv3Li9HhRkTYCVnJ5//nlKly7N+vXr8fPzi/PYlClT1FhZRJyXMdabcdas4ONjlUD+rZoYY/jiiy8oVaoUjz/+OAEBAbRo0SLe00VEQMaM1mfBjRvWSLwaVyXppYqX1N3dnS+//JLRo0czePBgJk2aFNu+wh7Gj4d+/az1ESOsf2BtGz/eWu/cGWJyqpYt4ZtvrPV69eCnn6z1SpWsST4BSpaEnTutdQ8POHw42Z9GbFJyZ5VlzZo15MiRQ21URMR5ffWVVVmx2axGJv9+npw4cYJ69eoxduxYFixYwNdff03OnDnjPdXXX0PHjlaC8tFHkD9/SjyBtEkDAT+C4cOt8YMA3n//9vZPP72dVfv63r5vuXgxZMhgra9da2XiYPXLz5TJWj90yJqeAqzGWinRR//ll19mxIgRLFy4kA8++IBChQoxefLk2NtFIiJOZfVqq9tO+/bQrFns5ujoaKZNm8aIESN45ZVXWLJkCW5ubvGeav16qFYNmjeHOnWSO3CBVFJhcTSurreTi0yZbicdmTPfnpQrS5bb61mz3k5Ssma9nbxky3Z77ojs2W+vu7mlTCMtV1dXXn/9dSIjI5k6dSoBAQGcOHGCpk2bJv/FRURSUnQ0fPwxHDhgvRE//jgAR44coUaNGkydOpVly5YxY8aMBJOVqChrXqODB61hWu6YOUaSkRKWNK5Pnz5kyZKFWbNmMXr0aPr37x/vaI0JiYqK4sSJE0kYoYjIf+DvD2+8Yd3+WbECKlYEIDIykgkTJuDj40OFChXYt28ftWvXjvdUmzdb46mkS2cNgOvjk/zhy21KWNKY6OjoOCMF58qVi65duxIUFMS6devo3LlznH3vXCbG/PnzE+zyJyKS7IKDrZ4MHh7WzMoQ27B2//79VKlShdmzZ7NmzRqmTJlC1njuw1+9ahVoCheGsmXjnEpSkBKWNObEiROcPn2aqDu6IcVUVWKqLXfue+cS4NatW4A1Eu7ddu/ezZw5c3jqqaeSK3wRkcR5+WWrMWGePNCrF9hshIeH895771GpUiXq1auHv78/VatWjfc0xkDjxtYQLR4e8MorKRS/3Ms4kcDAQAOYwMDAePeLjIw0AQEBJjIyMoUicwz9+vUzuXLlMoB56qmnzNdffx37WLt27cz58+eNMcacP3/eVKhQwbi4uBjApE+f3nh7e5s5c+aYMmXKGMBky5bNVK1a1dSsWdNUq1bNlChRwri4uJiRI0fa58mlAWn171bEGGP++MMYsJYPFBZmzE8/Wetnzhhzx/+VXbt2GS8vL+Pl5WV27dqV4PUuXDDmm2+s9YsXjYmO/g/BS4IS8/ltM8YYu2ZMSSgoKAh3d3cCAwPjbTQVFRXFkSNHKF68uEZslVRDf7eSVvn5wQsvwIULVrfhFSvu334k7OhpztfvSH6/lbjmtKrFoaGhvPfee0ydOpVhw4YxbNiwOCOn3y3mE/HPP+GDD2D2bI2pkhIS8/mtbs0iIuLQli2zkhWA8+fh55/vSli++ALSpyfspW48dep3AtOBK7B161a6detGtmzZ2L59O2XKlEnwWj16wPPPQ+vWMGdOcjwbeVTKG0VExKE1a3Z7QLb8+SF25IXAQGv5zDPg6Rm7f3BwMAMHDqRevXp07dqVrVu3xpusGAP791vrPXtqXBVH5ZQJS+fOnVm0aJG9wxARkSTg4wMLF1rrCxf+W10JCoLixeH0aahZEypX/nfv36hSpQzbt29nz549DBkyhPTp47+ZcOgQtGplTadSubI1y7I4Hqe8JeTr65vgwD8iIpJ6eHlZy7K5/4Y/Tloj1u7ebXXdwWoDMWDAUGAuffq8z1tv9U2wrdecOdbh9epZ48nF07RFHIBTVlhERMQ5pdv6Byxdav3wb7KyatUqSpcuzbFjR4B99O79RrzJSsyEtRkz3h5VXMmK41PCIiIiji06mky9OlKcP4l8qb01yyBw/fp1unbtStu2bXn33XcZO3YtUIR9+x58qnPnoFgx+Ocfa6iWBAa3FQeihEVERBzX9evg4kJUnQZcI1fs5qVLl+Lp6cnFixc5cOAAzz7bkzZtrOFn27SxukLf6ehRq2FtgQKwZg3kyJGCz0GShBIWERFxTKtXWw1MjCGiXUeu8BhXrlymffv2dO3alQkTJrBixQoKFSp0367Pd/rxR+t0ACVLpuzTkKShhEVERBzLunXWvZv69a1R4mw2rDFO51OxoidhYWEEBATQsWPH2LnL7tf1OSgImjeHK1dg2DAYNMh+T0n+OyUsIiLiWH780bqn4+IC+fJx/vx5OnRoAbzBpEnT+fHHH8mXL1+cQ+7s+vz991CwIGTPbiUsd0yRJqmYEpaHFBYGo0ZZS2e4joiIQzh50hpeNjwcpk+Hxo0xxjBnzhw8PT3JkiUrEECLFq0fOCN8TNfnTZtgyBBrRuVu3ZSwOAslLA8pLAxGj06ZhCUlriMikljJ8kUqPBxu3LBKIg0bxvYzPn36NI0aNWLEiBH4+voya9Z3QJ4HniYyEqZNs9Z79oSZM5MwRnEISlhERCRRkuWL1ODBMGGCNRBKjx5E22zMnDmT0qVLU7BgQQICAmjWrFm8pzDGunv055/Wz5kzQ6ZMSRijOAQlLCIi8sgeqeoSFQVz50J0NIwcCe++C8Dx48epW7cu48eP54cffuCrr74iRwL9jxcvhrZtrYTlk08e+WlIKqCEJY3ZunUr/fv3x2azYbPZePrpp6lXrx7Vq1fnmWeeoVWrVpqHSe5PDavkPh6p6hISAvPmWf2Qc+UiKl06pk6dStmyZfH09OTAgQM0aNAg3lP4+1t3k2rVghEj/sszkNRCCUsaU6VKFaZOnUqOHDkoW7YsR48eZe3atfzxxx9s3LiRLFmy0KZNG5o2bUrYQ34wvf/++8kUtTgENayS/2rxYquaki0b/PILFCjA4cOHqV69Op999hkrVqxg2rRpZM+ePd7TGAN9+sD27ZArF3h7p0z4Yl9KWNIod3f3e7blzZuXuXPn0r17d5YvX86bb76Z6PPt3LmTtWvXJmWIIuIsrlyxsoxSpaBOHQAiIyP54IMPKFeuHFWqVGHfvn3UrFkzwVONH2/1/vnjD2v+wzu5ulp3mFxdk+NJiL0pYXlIMXNUxDdXRWq6zv1MmTIFd3d3vvjiC06ePJng/pcuXaJt27ZER0enQHQikqpERUHVqlY55JlnoHZt9u3bR+XKlfnmm29Yv349kyZNIks8fY+Dg63mLmAVZ4yB9Onv3c/V1bprqYTFOSlheQh+ftYwAXD/uSpS23UeJHv27DRr1gxjDN999x0Ac+fOpVq1alSuXJmiRYvy5ZdfAhAeHs6AAQO4du0a/v7+1KpVi+HDhwNw5MgRGjduTN26dSlUqBAdO3bk5s2bKftkRMQ+Ll2CJUusbsqbN0PlyoSHhzNq1CgqV65Mw4YN2bNnD5UrV07wVC++CMuXW9WTQYOsCoukPU6ZsHTu3DlZGo4mNFdFartOfMqWLQvA4cOH+eOPP+jcuTPffvst27Zto2nTpvTu3Ztz586RMWNGvvvuO7y9vfH29mbDhg2MHz8eYwyNGzemQoUKrFu3jmXLlvHtt98yLWagBBFJdR6q8vvXX/DTT1Y55LHH2LVrF+XLl+enn35i8+bNjBs3jkzx9D2+edPKdwC+/BLat1f1JK1zyoTF19eX1jEliiR0v7kqkkNKXSc+bm5ugHW7x9/fn+zZs/Pkk08CULduXaKjo/nrr78eePyNGzc4fvx4bOLj4+NDrly5OH78eHKHLiLJINGV39dfh19/hYoVwdeXkNBQhg0bRo0aNWjbti07d+7Ex8cnwev9/beVqERGQuHCsePJSRrmlAlLcrlzroqFC62fU/N14hMUFARAzpw56dKlC7///jsAZ86cYfW/U55GREQ88Hg3Nze2bNlCkyZNCAsLY/78+URGRsZ7jIg4roQqv7ZLF62Vxo2hdGkANm/ejI+PD+vXr2fHjh288847ZMiQId7rjBgBCxZAiRJWR6L7tVWRtEkJy0OKmasiZpnar/Mg/v7+AJQvX57s2bOTIUMGOnTowLRp06hYsSLAv7OnPpiXlxfjxo2jS5cu5MmTh5w5cyZ4jDgwe7YEF7t7UOV33z7IzWWOVulodXlv1Ihb7u68+eabNGjQgB49erBlyxZK/5vEPMipU9ayQQOoVCkZn4ikWspd5R6BgYEsXbqU9OnT0759e1auXEmnTp1Yv349ZcqUYcOGDYk6R/Xq1WnRogXz5s1L/qAled19P2DFCvuU/sRuYiq/1avfrvz6fe1P6yGeXOUxmqRbyYqAdFy/vp4ePXpQsGBB/Pz8KF68eILnPnkSnnsOjh61BoITuR8lLGlUfJWOfv36cePGDd5++20KFSrEiy++SK1atShTpswDj7HZbHHO+c0337B//362bt2apHGLndzvfoASljTn7srvsnm3uHAlIwDnL6ajZ89l/PlnB8aPH89rr72Gi0v8RfwVK6yZlGvXhiNHIGvW5IxeUjvdEkqDjDH8888/92w/e/Ysbdu2Ze7cufTt25f33nsPgCxZsrB//37CwsKIioqKbcMSEhLCiRMnAMiVKxfnz58HrOH/Y8ZU2LlzZ+y2a9euERISwt9//014eHhyP01JSo7QElwcQg6uk6V5fbhyhWYfPhf7Z+Hicp506Vawf/9+Xn/99XiTlagoa3n5Mly7Zq1ny5bMgUuqp4QljVm1ahXt2rUjKCiIvXv38sQTT/Dcc89RuXJl6tSpQ9asWdmyZQufffZZ7BvOhx9+SEREBJUrV2bQoEFUr16dvHnz8s033xAaGgrAoEGDuHXrFi1atCB9+vS8/PLLNG7cmDZt2tC1a1dOnTpFvXr18PPzY9u2bWTMmNGeL4M8LEdoCS72FRmJ7cpl/iEH4R27gbs7hQtfw8vrXWAcgwZtY9u2mbG9CR/kyhUoWdIapqVLF2jVKiWCF2dgM07UCjIoKAh3d3cCAwNju+XeT1RUFEeOHKF48eKke8i+ckFB4O4OgYEQzyX+s5S6jqQe/+XvNknojzJtmzyZ8J3+uM7/hsBAWLduCX369MHb+1lWr55JYKBHvH8Wly5Z1ZQSJWDbNqthrQaAkxiJ+fxWhUVERO4vOhq++soaxa1PH0Knfg5cokuXtvTo0YNJkyaxYMHPgEeCp/r6a/D1tdYrV1ayIg9PCctDSqnJtTSJl4g4hN9/h9OnMZkysWj5EsCT6OhoAgIC6NChA7Z4Mo+QEOjWDa5ehcGDrYkLRR6VEpaHlFKTa2kSLxGxm99/h1descog33zDWXd3mjdvzvDhA4CZfPPNIvLmzfvAw42x7hxmymSNIWezQQIdhkQSpD8hERGxXLoEERFWv+UOHTDA7NmzKVWqFO7u7vj7BzBy5EsJfpH64gursmKzwcCBkCtXikQvTk7jsIiIiKV9e+jVC9q25ZSnJz0bNiQgIIBvv/2WJk2aAFbl936MgW+/hRYtrOJMmzYpF7akDaqwiEjiqGGVXYWFWclCWFgSn/j6dZg1y1r/8UeiW7dm+vTplC5dmieffJKDBw/GJivxMcYaCO7ECWsAuJw5kzhOSfNUYRGRxIlpWCV2ERYGo0dbt1iSNGe8dQvWrYNOnTh25Qrdmzfn9OnTLFmyhHr16iV4+ObNUKYMZM4MmoVDkpMqLCIiadF778H06eDhQdS33zL5s8/w9vambNmy7N+/P8Fk5eRJq7lLxYowebIKb5L8nDJh6dy5M4sWLbJ3GCIiSe4/3xo6c8ZaNmoEjRoREBDAc889x8yZM1m5ciWffPIJ2RIYJ98Y6NAB1q6F3LkhEYUYkf/MKRMWX19fWsfMLJvUku1Gsp2uIyKpSsytoUd6a7h6FZ59Fi5eJMLbm3Hff8+zzz5LjRo12Lt3L9WrV4/38BMnYOJEq/fPunVWziOSUpwyYUlW/+ndwgGvIyLOz88PVq60yiFHj+J//jwVK1Zk3rx5bNiwgQkTJpA5c+YHHh4ZaQ16myGDNRdQdLTVZkUkJSlhERFxdidPQkAAYWFhvDtxIlWrVqVZs2bs3r2bihUrJnj4yy/D3LlQqBB8+KEGgRP70J+dJJubN28ybdo0SpQowYYNG2K3nzlzhscee4zPPvvMfsGJOLuICKhdGwICoGVLtlerRrly5VixYgVbtmxh9OjRuMbTUjYiwrrtA1b7XI2rIvamhCUNu3DhAoMHD6Zq1arUrl2bihUr8sILL7Bq1aokOf+RI0c4dOgQf/75Z5zt6dOnJ0eOHGTNmjVJriMid4iOhlOnrPs3gwcTki8fgwcPpnbt2nTo0IHt27fj7e2d4GlOnoQRI6y70iVK6BaQ2J8SljTq999/p3Tp0mTJkoXff/+d3377jR07djB06FA6duxIv379MMY89Hnff//92PVy5crx4osv3rNP/vz5OXr0KF27dv0vT0FE7uenn6BzZwD+yJ6dspUrs2nTJnbt2sWIESPIkCFDvIdPmQKLFkHx4rBtm7ori+NQwpIGHTp0iGbNmtGwYUNGjx4d5w2sZs2a+Pr68tlnn/Hee+891Hl37tzJ2rVr42xLn15jE4okhX37rOWBAw/YYc4cOH0aWrTg5oIFvP766zRq1Ig+ffqwadMmPD094z3/lSvW0tMTihWz1uOZiFkkxSlhSYMGDhxIUFAQQ4YMue/jL7zwAiVLlmTcuHGcOnUqUee8dOkSbdu2JTo6OilDFRGsTj4xIzV06XLXgzGV0CNH4OxZ1q5bR+lKlThw4AD+/v4MGDCAdOnSxXv+c+egZEn45x9o2BB8fJL6GYj8d0pYHlbM15yYZSq7zoULF1i9ejW5c+embNmyD9yvTp06REREMG/ePHLnzo3NZmPOnDkAzJkzh1y5csVuCw8PZ8CAAVy7dg1/f39q1arF8OHD73ve4OBgvvrqK5599tnY88VYv349TZo0oWLFijz11FPMnTsXgKtXr/Lxxx/j4+PDnDlzGDJkCNmzZ2fq1KkAjBs3jqpVq1K6dGlsNhs9evT4z6+TiCNZtgwuXLDWL16844GDB62GtRERBA4dSs/Zs2nZsiVDhw5l/fr1FIsplTzA9u2waRMUKGCdKkeOZHsKIv+ZEpaHcefXnDZtrJ9T2XX27NmDMYYnn3wy3v1i3uh2797NypUr4zzWpUsXfvnll9ifM2bMyHfffYe3tzfe3t5s2LCB8ePH3/e8Fy9e5Pr16+zevTvO9g0bNjBmzBjmz5/Pjh076NGjB506dWLr1q0EBweTMWNG/P39WbhwITVq1KBx48bkypWL1atXs3LlSjZt2sSBAweYPn36I7wqIo6tWTPIn99az5sXshNoTVpYvDgMHcry1avx9PTk9OnT7N+/nz59+uAST9/jmKLMvn1WJyKAxx9P5ich8h8pYXkYd37NOX8efv451V3n+vXrAPEOEgWQPXt2AAIDA3n8Pu9k+fLle6TrP/XUUzRv3vye7e+88w5Dhw6NHRK8f//+AEydOpVChQrRoEEDAKpXr06TJk2YP38+nTp1Yt++fQQGBhIeHg5A7969KVKkyCPFJuKofHxg4UJr/d13oRa/cejDZVwNCuKV777jlVdeYezYsaxatYrChQvHe66gIKhUyboN1LMn9OqVAk9AJAkoYXkYd37NyZ8fmjZNddfJ8W/N98aNG/HuFxoaCkDu3LmT7Nox7u6lEBISwtatWxk5ciS1atWiVq1aNG7cmMKFC8fGGXMPPn/M6/KvunXrcuTIESpUqMCyZcsAGDFiRJLHLGJvXkVv0ZE5jBlj+JkXeX5ea55+ujVBQUEEBATQtWtXbPG0kr11yxpa383NGlclb94UDF4kCaS6LhyBgYH4+vqSK1cuChYsSO3atVPu4jFfc6pXt5bJ1TItGa/j8++5jh8/TnR09APLxmf+nSAtMaNg/lfXrl0jOjqaKVOmULVq1Yc6tly5cmzatIl+/frRvHlzypUrh6+vL6VLl06maEXswBiw2QgiBxcvWknJP/9koVWrqSxaVCbeRCXGF1/AoUPW8vnnkztgkaSXqiosx48fp3fv3nTo0IFXXnklZZOVGF5ecZep7DoFChSgdu3a3Lx5ky1btjxwv99//51MmTLRrl27RL0Z/hdubm4AsRWSOwXE3GCPR4UKFdi2bRvz58/n9OnT1K1bl5s3byZ5nCJ28cUXMGgQJnNmlpIBm+0cAHnzRvH2217x/v+MiIAhQ6w5D/v1g5kzUypokaSXahKW69ev06lTJ6ZOnZostynSko8++ghXV9cHNoz9/fff2bZtG6NGjSJ//vxkyZIFuH2b6E53Di73qIlN9uzZ8fHxYdKkScycOTO2a/SWLVvu6Ul092B2U6ZM4dq1awC0bduW7777jkuXLt0zuq5IqnP0qFVZqV+fC02b0rZtU6A7b799GIAffkgXb/E1LAzSp4csWSAkxFrXHECSmqWaP9+RI0dSpEgRxo8fT+XKlRkyZAiRkZH2DitVKleuHAsWLGDDhg0MHjw4tsEqwNq1a3nppZd46623Ysdpeeyxx8iXL19sRSYsLIzZs2cDVpfjGLly5eL8+fMAbN26FYCzZ88CcO7cudj9Yva5c9u4ceOIjo6mT58+ZM+enUKFCtGwYUNee+01wBrnBeDw4cNxnktYWBi9evUiODgYsJKqxx57jBIlSvyn10jEriIioFEjzL59zFq3jmeaNyd37jxAAK++WgeIv/g6fz60bGkN/DZqFHh4pEjUIsnLpAK3bt0ymTNnNpMnTzbR0dHm0KFDJlu2bGbgwIFx9gsMDDSAKVCggClYsKApWLCgmTRp0j3ni4yMNAEBASYyMvLhgwkMNAasZXJKgeucOHHCvPrqq6ZcuXKmZs2apmLFiqZZs2Zm/fr19+y7dOlSkz9/flOnTh0zePBg4+fnZ3LkyGE6d+5stmzZYowxZsuWLaZgwYLmxRdfNDt27DC+vr7Gzc3NACZbtmxmwoQJZt26dSZv3rwGMK6uruaNN96Ic41SpUqZDBkyGG9vb/PHH38YY4xZuHChyZMnjwGMzWYzrVq1ij1m/PjxBjA5c+Y01apVM3Xq1DG7d+9OttfMnv7T362kDocPG/P118YYY04GBJi6desaDw8P88svv8S+JZw58+C3hlWrjLl50/p36lTKhi7yX8R8fgfG85lnM+YRJoxJYb/99ht16tTh4sWLsV1se/Towffff8/NmzdjG44GBQXh7u5OYGBgbLuI+4mKiuLIkSMUL148wREg7xEUBO7uEBhoNbdPLil1HUk1/tPfrTi2fxvV4ueHWbSIz/LnZ8SIEXTo0IEJEybg5uYW+5Zw5gwUKnTvW4MxVgfDt9+GypXt91REHkViPr9TxS2hC/+OSXLn7L61atUiJCQk9paDiEiq1aIFrFrFkaxZqfHHH0yZMoWlS5cyc+bMeL98AezYYY2nAtYQTkpWxFmlioQlZhCzmEHPgNhKS86cOVM2GFdXGDky+acwTanriIh9GGP1MwYiBw5k6q5d+Pj4UL58efbv30+dOnXi7H73W8LVq1ZTl6JFrdH5QZMVinNLFQlLlSpVyJAhAzt27Ijddu3aNXx8fGJHRk0xrq5WK7aUSFhS4joiqUhYmPXfIizM3pEkAT8/aNGCA35+VB00iJnffsuaNWuYOnVqnGpyjLvfEjp3hiVLIHduePllJSvi/FJFwpI7d27efPNNZsyYEbttyZIlvP3223aMSkRSWlgYjB6dyhOWH36ArVuJKFOG99u0oeJzz1G3bl38/f0THDjx0iX46itrfe7c21OOiaQFqWak2/HjxzNkyBB69+6Nm5sbNWrUoFWrVvYOS0QkcWIa1l65wrHz53mpTx+io6PZuHEjzz77bIKHgpWo7dljrefMqaqKpC2pJmFJnz49kydPtncYIiIP7+JFqF+f0JUree/0aaZOncrQoUMZPnw4GTNmTPDwvn2tGTp69oRp0+Dbb1MgZhEHk2oSFhGRVOfGDbh2DQoX5mCvXrxUty5Zs2Vj27ZteCUw7YYxsHs3PPusNaNyoUIpFLOIg1LCIiKSXD79lIi//2Zopkx8/vnn/O9//+Ott94iffqE33r/+stqTOvnB97et7erA6GkVUpYRESSUng4jB8PAwbwe8WK9PjqKx7Pl489e/bwzDPPJHj43LmQLZs1NEtAgDUH0J1ieguJpDWpopeQiEiqEB0N6dMTfvkyb/ftS+MXX6Tfm2+ycePGBJOVW7esZY4ct0ewTUQhRiTNSNP/HWJmBRZJDfT36uCWLoWvv2Z1nz70+vlnihYtyr59+yhSpEiCh169CqVKwb590LRpCsQqkgqlyYTFZrORPn16jh07Zu9QRB5K+vTpsakvq2M5fBieeorr3t5MNYapbdowceJEevbsmeDv6uhRq01upUqwZQv8O4C3iNxHmkxYXFxcKFq0KKlg3keROGw2W+xkn+IAjIFXX2VrrVq0/OILfHx8OHDgAIUS2aVn3brbCUsiCjEiaVqaTFgAvemLyKM7fRq++47LPXowIG9efvn0U6ZOnUrHjh0TrKqEhFgNamfNgt69UyheESegT20RkcQyBqKjMRkycHjzZsqULElwZCQBAQF06tQp3mQlMhLOnoXMmaFLF2sOIBFJPKessHTu3JmXX36Z1ppoQ0SSUt++BHp40GXnTjbv2MFn06fTunXrRLUrmjUL1q+HhQuhXbsUiFXEyThlhcXX11fJiogkDWNgzx6MMSz18KDshx+SJUsWAgICaNOmTbzJSlQUTJhgtVPp1g2++SYF4xZxMk6ZsIiIc9q3L+4yRVy4QOSLL9Kmfn36fPYZn8ydy3fffUeePHniPSwqClxcrGmErlyBjBkhU6YUijk1CAuzRsBL1VNvS0pSwiIiqYKfH8QUTtu0sX5OVqtXE71wITOXLuXx69dxK1yYgIAAmjVrluChv/wCjRtbsylPmgTFiydzrKlRWBiMHq2ERRLNKduwiIjzWbYMLlyw1s+fh59/tmYwTnJRUZAuHef//puvJk/my5s3mf/jjzRo0CDBQ3ftgpIloWZNKFgwGWITScNUYRGRVKFZM8if31rPnz+ZRoQNDcV4eeE7fDhPv/km52vV4sCBA4lKVoyBt9+2BoDLmhXKlk2G+ETSMFVYRCRV8PGxethUr24tk7S6EhICx49zOH16Jrq4sHHhQlasWEHNmjUTPDQgAL78EiZPhpUrrXYrIpL09F9LRFINL6+4y6QStXgxf7ZrR7ly5cjRoAF79+9PMFkJDoaICMibFwoXtiosSlZEko8qLCKSNhkDY8Zw+NlneWXyZEKjoli/fj2VK1dO1OHt21u3qbp3h/79kzdUEVGFRUTSoshIwiMi+PWPP3i5ZUueb9SI3f7+CSYrN2/Cd99Z6zNnWiPWikjKUIVFRNKWHTu41akTVdOnx5Y+PV9v3YpPIhvEXL8OCxbASy/dbgAsIilDFRYRSRuOHyfk1CmGLVpEvb/+onW7duzcuTNRycrIkfD551CokNW92tU1BeIVkThUYRGRNOFiv358vGcP6594gq9376ZUqVIJHnP0KDz9NLzwgtW4VkTsRwmLiDivK1eIeO89hhjDrA0bGPnee2zp35/06RN+6zt3zhoALiAAKlVKgVhFJF5KWETE+RgDkZH8tnMnh775hoOlSrHb35/iiRgjf+VKiIy0BqY7fhwyZ06BeEUkQWrDIiJOJ3TkSNaWL0+zNm0w48ax6o8/EkxWIiKsZUiI9Q+UrIg4ElVYRMR5bN7ML//8w8hZs3jy6afZv2wZTz75ZIKH3bhhDaW/YQO0bJnsUYrII3DKCkvnzp1ZtGiRvcMQcUphYTBqlONNsnvt7FlON2nCO+3a0XvMGBZu2JBgsnLpkjXrc/bs8OOPVi8gEXFMTpmw+Pr60jpmHnoRSVJhYTB6tAMlLFu3sq9rVzzLl+f1557j58OH6d69OzabLcFDFy+Gb76x1n18IBGHSFLZty/uUiQBuiUkIqlTeDiX/vmHD0eNgk2bmPTFF7z88ssJJioREdC1K3zwAbz6qpIUu/Dzg5gvlW3awIoVSTybpTgjJSwikmq4ulqDuGXMEM3l0qXpc+ECLg0b8tmJE+RNYKAUY+DaNcidG2rUsBrUKlmxk2XL4MIFa/38efj5ZyUskiCnvCUkIs7J1RZOX5+ltGn7Ii2vXuXlWbNYtGhRgskKwLffQocO1nqvXlbiInbSrNntuQ3y57f6kIskQAmLiKQKxhh+fu89jrVqRU53d346coRWbdokcAzMmWNVVtq2hXnzUiZWSYCPDyxcaK0vXKjqiiSKbgmJiMO7NnIk41asYMGFC3y+ZAm+ifhGboy13LIFvLygXDnImDGZA5XE8/KKuxRJgCosIuKwokNCmDZtGoM//JBchQpx8OBBGiciWfnjj9t3Gb74wkpWRCR1U4VFRBzSyd9/J0vDhszMm5cpy5dTr169BI85ftxqEuHjA2+9pUa1Is5EFRYReSjJPXxG1KlTzB46lNIvvMBXL73E1oMHE5WsALz2GqxaBdmyQe3ayROfiNiHKiwikmjJPXxGQEAAfzRsSHBICKtWraJ69eoJHnPqFHz1lTWY3c8/q52KiLNShUVEEu1+w2ckhYjAQPZUqEC98uU50b49vc+cSTBZiYy0/mXNClFR1j8lKyLO66ETlsjIyOSIQ0RSgeQYPmPv9u1UrFmT30+fZvmyZXw4YQKZEzFNcvfuMHMm5MkD48ZBetWLRZzaQycsTz75JCExc6+LSJqSlMNnhIWF8WPz5pyuWpVmzZvz2unTlKtfP95jIiJg+XJrfdQoK2kRkbThoROWc+fOUapUKSZNmsT169eTIyYRcWBJMXxGwIwZVPH2ZvJff1F05UpGjx6Nq6trgsddvAjvvw+3bsFTT1nD64tI2vDQCUuhQoWYMWMGFy9epGzZsnTt2pWdO3cmR2wi4mSCg4MZPGgQ515/nf41a7Jh1y48GzRI8LhPP4VZs8DDAzZvttqtiEja8tAJy6pVq2jYsCETJkzg2LFj1K9fn7feeouKFSvy9ddfExoamhxxikgqt8vXl3kFC7Jp0yYK7t9Pp5kzyZAhQ7zHnD9vLb29oXx5a11jq4ikTQ+dsJQsWTJ2PWPGjLz88sts3LiRr7/+ms8++4yCBQsyaNAgjh07lqSBPozOnTuzaNEiu11fRG67efUqb7z2Gi+99hpFa9Zk0x9/UNLTM8Hjrl61bjtdvAjVq2u6GZG0Lkna1S9fvpyxY8fi5+cHwOHDh+nWrRtZsmRh6NCh1E7hEZx8fX1xc3NL0WuKyL3Wrl1LaPPmPFGwIGv37qVYsWIJHrN9O1y/Ds8/D0eOQM6cKRCoiDi8h66wvPrqq7Hrixcvply5cjRv3pxdu3bRpk0b/P39Wb58ORs3bmTChAl89NFHdOnShejo6CQNXEQc1z9XrjDl+edp2bIl14cPZ+C+fQkmKzGTFZ46BSdOWOtKVkQkhs2YmLeJxMmYMSPt27dn+/btHD16lPTp09OhQweGDRtG8eLF79k/OjqaZ555hvbt2/Pee+8lWeD3ExQUhLu7O4GBgaqwiCSToCBwd4fAQLjff7Ply5czukcP5oaEkGXrVp5IxO2fkBB47jlYtAiKFk2GoMXxJPSHJGlKYj6/HzphcXFxwWaz4erqSvfu3RkyZAiFChV64P5hYWHkzp2bbNmycSFmiMxkooRFJPk96HPm6tWrLGralL3+/lScNo0unTtjc4m/iHvrFpw+DSVLwoYNVluVdOmSN35xEGFhMH48DB8OiejSLs4tMZ/fjzQ0f9OmTTl+/DiffvppvMkKwD///ENwcDDu7u6PcikRSQWWfPstnp6enAHGfPMNXbt2TTBZAZg/3xpXBaBWLSUraYqrqzX6n5IVSaSHbnRboUIFfvrpp0TvnzdvXtavX89TTz31sJcSEQfk6gojR1rLCxcuMKh3byYuW8aXU6bQ9I03sCXQ7zgqCgYNsv517Wr9ExFJyENXWLZv3/7QF6lVqxaFCxd+6ONExPFYCYth2axpdC5enMhMmciwbRvN3nwzwWTl1i2rilKwoJW4uLhY/0REEqLpwkTkofz999/07t0bjz/+YEbVqhSZPz9Rxy1dCpMmwcaNVnVFRORh6LuNiCSKMYYvP/+ctUWK4JkhA++fOEGRlSsTPO6XX+DaNWjUCL77LgUCFRGnpAqLiCTo5MmTvNG1K/7Hj/NL3750GTwYcudO8Dhj4Pvvrbl/ataEBNroi4g8kBIWEXmg6Ohopk2bxqohQ5iZNSvux4/jlogef35+8MEHMG8efPttCgQqIk5PCYuI3NeRI0eY0ro1/v/8w/vLl1Po6aetAVjicfmyVU15+mlo1UoTFYpI0kl1bVh++eUXdZEWSUaRkZFMnDgRHx8fOkZH89sHH1C7bl144okEj+3eHRYsgGzZoE0bJSwiknRSVYXl+vXrvPHGGzzk4LwikkgHDhxgWIcO9Dp5krW//EKVmjUTPObyZfD1hbfeshrVZsuWAoGKSJqTqios77zzDp06dbJ3GCJOJyIigrGjRlGrQgW8GzSg0ahRVKlaNd5jjIHoaKuKcvQohIdD9uyqqohI8kg1FZaffvqJChUq2DsMEaezZ88eunXrxoCzZ9nfti35J05M1HEDB4KHh1VZ+fzzZA5SRNK8VFFhuXLlCitWrKBLly6J2r9kyZJ4eHjg4eHB5MmTkzc4kVQqNDSUt4cPZ1KVKrRo3pz2e/eSf8aMeI8xBjZtstZffVXD6otIykkVFZZ3332XMWPGJHr/Q4cOabZmkXhs27aNbt26kdvVlZVly5KtRw8oUCDB4y5cgF69YPNmKFEiBQIVEfmXwycsCxYsoFatWuTLl8/eoYikesHBwbzzzjucmj6dz6tVo8qqVaRPn/DbwLx5EBYGXbrAgQOa/0dEUp7DJywzZ85kw4YNtGvXLs52m83Gb7/9Rq1atewTmEgqs2HDBgZ07UqWAgX4dskSnoqOhgSSlaAgcHODfPmsyQpByYqI2IfDJyxffvklN2/ejP152bJlzJw5k19++YVixYrZMTKR1OHGjRsMHTqUub6+nMqeHff33yddIror37hhDQC3cyfUrp0CgYqIxMPhE5a7kxJ/f38yZsyIt7e3fQISSUVWr17NoB49aJIzJ3v37ydXpkwJtlU5ehT+/ttKUnbvtnoCiYjYm8MnLCLy8K5fv85bb73Fjz/+yJzXXuPFY8ewPfVUogZJ2b0b/vzTSliUrIiIo7AZJxo2NigoCHd3dwIDA9VLSNKspUuX0qdPHz7JlIkaY8bweIcOCR4TEQGNGsH06VC8eAoEKSJyh8R8fqvCIuIkLl++zBtvvMH2lSv54JNPaJUjB7YyZeI9JjISzpyBp56CN96AQoVSKFgRkYek9v4iqZwxhgULFuDp6UmuK1c4mikTnVq3xtasmZWJxGPBAujXz1pv1gwyZ06BgEVEHoESFpFU7Pz587Rq1YrPe/fm28GD+ezXX0nn7x9v5mEMvP8+nD0L7dvDDz+kXLwiIo9KCYtIKmSMwdfXl1KlSpE5c2Z+7tePhjlyYLPZrEFTHiAiwmp3GxFhjbHi4gKZMqVg4CIij0htWERSmdOnT/Pqq69yws+PgGLFyPfxx5AnT4LHrV8P77xjDas/cqQ1cu2oUdYkhpMnw/Dh4Oqa/PGLiDwKVVhEUono6Gg+//xzypQqxdO5c7P90CHy9ekD2bLFe9zOnXD9OlSrBl98cbtnc1gYjB5tVVpGj7Z+FhFxVKqwiKQCJ06coEePHhw/fpxtnTpR8to1yJkzUdMlT5gAnTtDkyZQunQKBCsikgxUYRFxYFFRUXz88cd4lSlDx3TpOLB9OyU/+sgqlcTjyBHo3h2io2HhQitZERFJzVRhEXFQhw8fpnv37ly8eJEVy5dT8/PP4dKleBvVBgdbt3wKFIBy5aweQZqsUEScgVO+lXXu3JlFixbZOwyRRxIZGcmHH35I+fLlaffEExyuXJmatWrB/Png5RXvsT16WMWXbNmgb19Ily5lYhYRSW5OWWHx9fXV0PySKu3fv5+uXbuS4cYN1q9eTSVPT/jtt3jnALp5E+bNs5KVTz6xmraIiDgbp6ywiKQ24eHhjBo1ikqVKvH888+zuXBhKv31F+TKBa1aPfA4YyAkBFatglu3rN7NqqqIiDNyygqLSGqya9cuunXrRjZjODR8OIXffReuXrWSlXiMGwcZMsCQIfDjjykUrIiInajCImInoaGhDBs2jBo1atCmTRt+X7qUwrt3Q2go5M79wNtABw5Yy2bNoG3bFAxYRMSOVGERsYPNmzfTvXt33NzcONGnD/ly54YiReCnn+I97upVeOEFazC4BCZiFhFxKqqwiKSgW7du0b9/fxo0aMAbbdqwZcsW8rVuDbVrx3vc6tXw/fdW4eXYMcibN4UCFhFxEEpYRFLI+vXrKVOmDLt372bvhg28NmMG6S9dgsqVoUSJ+x4TM1y+i8vt8VQyZkyhgEVEHIhuCYkks8DAQIYMGcL333/PzDffpH21arhUqAB//hlvw9rQUChZ0uoBVL9+CgYsIuKAVGERSUYrV66kdOnSnDhxgv3799PB2xuX3butBx+QrFy8CFu2QKZMsGIFFC+eggGLiDgoVVhEksH589do1GgAf/21lMkTJtB16VJswcHw0ksJHrt+PWzaBFWrgqdn8sca0+to3z5rRmcREUekCotIEluyZAk+PqXYu/cyO5eupVuvXth69oQnnnjgMVFR0L69NWlhu3YwbVrKxduli7Vs0wb8/FLuuiIiD0MJi0gSuXTpEm3btqVHjx6MGTORprzKU0PesIajffFFa4KfuxgDFy5Yo9M2aWLdJYpnFP4ktW+ftbx40VqePw8//5wy1xYReVhKWET+I2MM8+bNw9PTk6ioKI6PH0+752ryM80I/mFlvBnITz9B69bWeocO1tD6KcHP7/Z1Y3of5c8PTZumzPVFRB6WEhaR/+DcuXO8+OKL9O/fn5kzZ/LDDz+Q4+hRXE4eB2zg7n7PMcbAV1/BuXPQvLl9qhrLllmVHYDoaGu5cCH4+KR8LCIiiaGEReQRGGOYPXs2np6euLm5cXjpUl764gsID4eJE4mqXusBx1kFlz//hL//tqobOXKkaOiANax//vzWeswgdF5eKR+HiEhiKWGRVCMsDEaNuj2Ymr2cOnWKhg0b8u677zLviy+Y++mn5CxfHnr3tmYjfIAdO6BmTauiMWECVKyYgkHfxcfHqqgAzJljvzhERBLLKROWzp07s2jRInuHIUksLAxGj7ZfwhIdHc306dMpU6YMhQsX5uDBgzRavx6mT7cSlZYt79te5dgxuH4dvL2tGZZdHOR/XUxFpXRp+8YhIpIYTjkOi6+vL25ubvYOQ5zIsWPH6N69O6dPn+an+fOpc+wYZM8OEydC1qzxHjt8uNVJqEMHqF49ZeIVEXE2DvJdT8QxRUVFMWnSJLy9vSlbtiz79++nTs2asHUrXLtmJS33KZmcPWst33/fuuXSoUPKxi0i4myUsEiScZQ2JkklICCA5557js8//5yVK1fySfnyZBs1yqqozJsHjz12zzGRkdbzj+kc9OGH1qBwIiLy3yhhkSRj7zYmSSUiIoJx48bx7LPPUqNGDfb9/DPVq1Wzxq1/5ZV4j339dZg8+b5jxImIyH/glG1YRB6Vv78/Xbt2JSIigg0bNlCxXDkoUcLqUlOu3H2PiYiAJUusgdjefRdy57Z6N4uISNJRhUVSjZih5GOWSSksLIx3332XqlWr0qxZM3b/8AMVjxyB9OnB3/+ByQpAYCDMnAn//AMFC1qzLIuISNJSwiKpwp1DySf1JH3bt2+nXLlyrFixgi2bNzN69Ghcg4Nhzx5rhwfc35k5Ez76yBpOf/16yJkz6WISEZG4lLBIqnDnUPJJNUlfSEgIgwcPpnbt2rzyyits374d74kTYdUqq6IyefJ9jzt92lpWrAh16/73OEREJGFqwyKpQrNm8PnnVrKSFJP0/fHHH3Tv3p3cuXOze9cuSmbKZA3+1rt3vGPU37hhJSo7dsR7l0hERJKYKiySKtw5lPx/maTv5s2bvP766zRq1Ig+ffqwadMmSkZEQP36VkvZGjXuO7nPjh3w44/WsCtHj8ITTzz6cxERkYenhEVSjZjCx6NO0rd27VpKly7NgQMH8Pf3Z0Dx4qTbtQvKlrVa8mbMeM8xMTMZX7t2ezC47NkTvtadDYOTo5GwiEhao4RFnF5gYCA9e/akZcuWDB06lPXr1lGsWDH46y84d87a6T7D60dEQPnysH8/PP88vPFG4q7n5wfNm9/+uUWLpG0kLCKSFilhEae2fPlyPD09OX36NPv376fPSy/hUrkyXLkCffta2cRdbt60EowMGWDGDPD0fLhrLltmVWRiXLmSNI2Ek4urK4wcaS1FRByVEhZxOmFhMGTIVdq3f4VXXnmFsWPHsmrJEgqnS2cNp//ee5Ar1wOPX7nSmgMIoHJlSJfu4a7frJk1eFyMPHn+eyPh5OTqak2poIRFRByZEhZxOgsW/MDEiZ4EBgYREBBA165dsX36KYwda+3QqNE9ExYaY93yOXIEXnoJFix49Ov7+MBPP93+ecmSR28kLCIiFqdMWDp37syiRYvsHYYksYRuXVy4cIGXXnqJAQN6A1OYN/dHCnz7LQQFwYABMG3afY8LCgKbDUqVss5ts913AuaHcmfD4EdtJJzcdCtIRFITp0xYfH19aR0zLKo4jQfdujDG8O2331KqVCnSp0/Pjh0BQHts6dJZo7xduWL1ALrPvZ01a6BWLavC8uqrULhwSjwTx6BbQSKSmjhlwiL2kZxz/TzI33//TdOmTRk0aBCzZs1i/vz55PffzY+0ssokn30GRYrcc9zy5VYHobp1rQaxNlvKxSwiIg9PCYskieSc6+d+jDHMmjWLUqVKkSdPHgICAmhRtiyEhRFZsSoTGBLv8atWQUCAldMULJi8sYqIyH+nhEWSxN1z/SxZYt1uCAtL+mudPHmS+vXrM3r0aObPn8+cOXPIlSsXdOsGq1eDuzvbqXzPcQcPWu1tIyOtwku9ekkfm4iIJA8lLJIkmjWz5vgBa9mgAYwenbQJS3R0NJ9++ileXl4UK1aMgwcP0sjb+/YkhatWWYHc5fJl+OcfePpp6NXr4bspi4iI/WnyQ0kSMXP9VK9uLZO6Z8yRI0fo3r07Z8+eZenSpdSpXdt64NYtOH7cKptkynTfY/v3h6pVHzhOnIiIpAKqsEiS+a9z/dxPZGQkEydOxMfHh2effZb9+/dTp04deOstq5ty/vzWMv3t3Dum0W///tZcQF9+Ca+9lnQxPYxhw9QLR0QkKajCIg7rwIEDdOvWjaCgINasWUPVqlWtlrKentCly+17UHfYs+d2498FC6BHD6u6Yi/DhythERFJCqqwiMOJiIhgzJgxVKxYkbp16+Lv728lKxcvQsOGcPWqVcZ57LF7jn3zzduNf4ODYe3aFA5eRESShRIWSRaPOibLnj17qFChAosWLWLjxo2MHz+eTNu3w+LFkDcvHDsWd6IerEHf1qyxlsOGWbuBVYBx5Dl8REQk8ZSwSJLbt+/hx2QJDQ1lxIgRVKtWjRYtWrBr1y6eLVfOejAoyOrmA/e9v3L9OgwZYhVgGjeGH36wti9cqDl8RESchdqwSJJbsSLumCw//xx/4rB161a6detG1qxZ2bZtG15eXhAeDs8+C99998AyycKF1nXeeMNquxIzWm1yNP4VERH7ShUVllOnTtGwYUOyZ8+Oj48Pv/32m71Dkng0bhx3TJYH3ZYJDg5m4MCB1KtXj65du1rJSokScPiwNffPJ59A8eL3HHf1qrV88kkoWdJa19D6IiLOzeETFmMMPXv2pF69ekyfPh1jDE2aNOH48eP2Dk0ewMvLqn7Ag2/LbNiwAS8vL7Zv386ePXsYMmQI6dOnh59+srosA1Srds8ob6GhUKYM/PknVKwI9esn73MRERHH4PAJy4EDBxg6dCiDBw+mY8eO/Prrr9hsNpYvX27v0CQeD7otc+PGDV577TWaNGnCG2+8wcaNG3mmeHH46CM4edJq/LJkyT3nO3rUmrAwUyarTcwzz6TAkxAREYfh8AnLM888Q926dWN/fvzxx/H09MRVg1ukOqtXr6Z06dIcPnyYffv28cYbb5DOZrPu54SHW41rbTbrdtC/jLGWx47Btm3WekwvIBERSTscPmHJeMeHV4zr16/TpEmTBx5TsmRJPDw88PDwYHLMPDNiN9evX6dr1660adOGt99+m3Xr1lGkSBGrpWylStaw+iNGQNmycY6LjrYmKNyzx5q0cOxYOz2BR+DqCiNHatA4EZGkkup6CW3cuJGWLVvi4eHxwH0OHTqEm5tbCkYlD7JixVIGDuyNj48PBw4coFChQnDmjHVvx8vLalibPu6fYWSkVVEpUcIaVyWmYW1q4upqzVYtIiJJw+ErLHeKiIhg3rx5vPfee/YORRIQFHSZ0qXb07dvVyZMmMCKFSusZAXgf/+DRYusRKVKlXuOXbHCmqgQrEa1mTOnYOAiIuKQUlXCMmnSJEaMGKH2Kw7N8OOPC/Dx8aRYsVAOHjxIx44dsf3zj3XbJzISvvjivrMRjhtnNa5t1gxWrnz0CHQ7RkTE+aSaW0KzZs3i+eefj/2WHhYWRvr06Ul3V7dXsZ9r185TokRfhg7dxLRp02jdujU2mw2ioqxbQCEh1gQ/d92uCwuzkossWaz1u9rdPjTdjhERcT6posIyffp0Tpw4wYULF1i1ahWLFy+mR48e1oeh2J0xhm+++YZy5Urh7e3KwYMHadOmjfX7mTTJGlclc2aYMuWeZGXrVqhQwWpgO2AAlC5tpychIiIOzeErLLNnz6bvvw0axo8fH7u9X79+uLikinzLqZ0+fZpXX32VvXv38vXXX9O8eXPrgV27oHx5azKh+/yeduwADw9r8LeFC++7i4iISCyH/5jo1q0bxph7/n3yySf2Di1Ni46O5vPPP6d06dLkz5+fgwcP3k5WwsKgUydriP1ChaBgwXuO/+ILq7qSLp3VG0hERCQ+Dl9hEcdz4sQJevTowbFjx1i0aBENGza0Hti928pCXn/dmrL5ru7KJ07A8OHw7bfw5Zea/0dERBLP4Sss4jiioqL4+OOP8fLyokSJEhw4cMBKViIjrR0yZLBGrIU4ycqtW9YgtgULWgPBubgoWRERkYejCoskyuHDh+nevTsXL15kxYoV1KxZ03rAGGuwlGHDoGHDeycPAvr3h6eesno19+yZsnGLiIhzUIVF4hUZGcmHH35I+fLlqVy5Mvv27bOSlchIq2GtzQZTp0Lt2nGOu3nT2hwdDRMnwtChdglfRESchCos8kD79++na9euBAcHs3btWqrcOSqtnx/06QPbt98zB5Ax1r9du6xbQTlypGzcIiLifFRhkXuEh4czatQoKlWqRMOGDdmzZ8/tZOWLL+CPP6zBU7Zvt7r53OGjj+CddyB7dqtxrZIVERFJCqqwSBy7du2iW7du2Gw2Nm3aRLly5awHIiKsRrWZMt1uMXtHsrJ7tzXsSvPm/22UWhERkftRhUUACA0NZdiwYdSoUYPWrVuzc+fO28nK2bPwzDMQGGiNr1KtWpxjb9yAtm3h1Cl4+mkoXNgOT0BERJyaKizC5s2b6d69O25ubuzYsYPSMePjX7pkJSlPPw0//gju7nGOW7MGjh+H3r2tMeLS669JRESSiVNWWDp37syiRYvsHYbDu3XrFv3796dBgwb06NGDLVu23E5WAD7/HHx9rXUfn9jNwcHWMnt26x8oWRERkeRlM8YYeweRVIKCgnB3dycwMBC3uybZk7jWr19Pjx49KFiwIF999RXFixe3HggNtcZUGTXKmqjwrkl+IiKgZEn44Qfw9k7xsEVExAkl5vPbKSss8mCBgYG8+uqrNG/enIEDB/L777/fTlbCw8HVFXLlstbvSFYuXoR166x2t6tX39OTWUREJFkpYUlDVq5cSenSpTl+/Dj79u3j9ddfvz3j9bx58NJLVg+g//0PHn88zrF79sD8+dZ60aIaWl9ERFKWEpY04Nq1a3Tu3Jl27doxcuRI1qxZw1NPPWU9uH07hIRAkybW0LR3MAbat7e6LDdqZE1YKCIiYg9KWJzckiVL8PT05OrVqxw8eJAePXpgiymPGGNN8LN9u9V6tkiR2M1nzlhVlLZt4ckn7Re/iIgIKGFxWpcuXaJt27b06NGDSZMm8fPPP+Ph4WE9eOQIDB9ura9ZA7VqxTl2zRp48UUrcXnxRcidOyUjFxERuZcSFidjjGHevHl4enoSFRVFQEAAHTp0sKoqkZEQFWWNl+/mZmUkdzSs/eorOHrUmnx5wwa1UxEREceh0TOcyLlz5+jTpw/btm1j5syZvPTSS3F36NoVqlSB1167XWHBmlHZxQUuXIDLl61x4mLGVxEREXEEqrA4AWMMs2fPplSpUri5uREQEHA7WYmOht9+s9ZHjbKSljvs3QvPPmuNr/L221C1asrGLiIikhiqsKRyp06domfPnhw8eJC5c+fSpEmTuDucOwf9+1szLBctGrv52DHIlg1Kl4Zp06zxVURERByVKiypVHR0NJ9+OoPixcvg4VGYgwcPxk1WFi6EuXPBwwP8/a02K3d4/31YscKacLlKlZSNXURE5GGpwpIKHTt2jO7du/PXX6cID/+RqVPr385HQkMhUyZrtNrISGvbv61nz5+HkSOtisqsWfeMui8iIuKw9JGVikRFRTF58mTKli2Ll5cXW7ceAOrf3iE4GJ55xrrfU68ePP88YOUtt25ZOUyRIlZHISUrIiKSmqjCkkoEBATQrVs3rl69yqpVq6hevTpBQf8+eP06HD4KFStaE/0UKxbn2CFDIHNmGDfOmtdQREQktdH3bAcXERHB+++/z7PPPkuNGjXYt28f1atXj7NP+nWrYMYM64cSJf49Dnx9raFWhg+Hd99N6chFRESSjiosDszf35+uXbsSERHBhg0bqFix4u0HjcF1aH+K8TqRrdpB13Zxjg0NhQULrLtCefOmcOAiIiJJzCkrLJ07d2bRokX2DuORhYWF8b///Y+qVavStGlTdu/eHTdZCQkBmw2/LNW4zGPs22+LbVg7eza884418NsvvyhZERER52Azxhh7B5FUgoKCcHd3JzAwELe7uvGmFtu3b6dbt264uroye/ZsvL294+6wcSP064ff13680NiFCxcgf36YOROaNYPDh618xsfHLuGLiIg8tMR8fjtlhSU1CgkJYfDgwdSuXZsOHTqwffv2uMnKnj1Wv+Rq1WDxYpb9bCUrYG3u1An+/NNqwqJkRUREnI0SlmQUFmaNhh8WFv9+f/zxB2XLluWPP/5g165djBgxggx3Dz07fbpVXXFxgaJFadYM8uSxHsqfH1autHo0i4iIOCMlLMkoLAxGj35wwnLz5k369etHo0aN6N27N5s3b8bT0/P2DufOQffuEB4OX34JbdsC1rgqPj7w3nvWbgsXarRaERFxbkpY7GTt2rWULl2a/fv34+/vz8CBA0mXLp31YHS01RAld27rHo8xsY1qo6OhUiXYtg06dLB29/Ky05OQ/yaxJTgREVHCktICAwPp2bMnLVu2ZOjQoaxfv55idw30xjvvwP/+B66uMHgwuLpy8yZs2WLdEfrqK6hQwT7xSxJKqAQnIiKxlLCkoOXLl+Pp6cnp06fZv38/ffr0wSVmjHxj4OefrRJK//5WwnKHzZvhww+tdW9va9JCERGRtEIJSyL9l+r9tWtXeeWVV3jllVcYO3Ysq1atonDhwnF3Cg6GDz6A06fh8cetgVSwcpc9e6BhQ/jpp//6LERERFInJSyJ9OjV+x+oWNGToKAgAgIC6Nq1K7Z/26MAsGaNNclP1qywaRM8+SQA165ZD1eoADlzWut3HiYiIpKWKGFJJhcvXqRjx5eA3nzwwVSWLl1KgQIFbu9w86a19PC43R/534xk82aoWtW6O9ShAzz1VMrGLiIi4miUsCQxYwzffvstnp6epE+fHgjgpZfax62qGAPPPQcbNkDJkvDSSwAsXw7HjlnJyu+/Ww1s4+PqCiNHWksRERFnpoQlCf399980bdqUQYMGMWvWLL7+ej7w+O0dbtyAX3+1KilLl0LNmoCVv4DVVfnoUevhxMwB5OpqtatRwiIiIs5OCUsSMMYwa9YsSpUqRZ48eQgICKBFixb37hgQAJ98YmUoTz4JNhtHj0KNGtbsymPHQqNGKR6+iIiIw0tv7wBSu5MnT9KzZ0/+/PNP5s+fT6P7ZByu74+EetWhXj3rvg9w+bKVtxQpAsOGqUoiIiISH1VYHlF0dDSfffYZXl5eFCtWjIMHD96brAQFARBVxttqXHuHd96BuXOt8VQaN1YPIBERkfiowvIIjhw5Qvfu3Tl79ixLly6lTp069+504gTHKrxKelawp3ALqpWA69dh/HirF/Mnn6iqIiIiklhOWWHp3LkzixYtSoYzR/LxxxPx8fGhfPny7N+//95k5dAh2LcPv8AiNE63kkgy0ro17NgBWbJYu4SEKFkRYN++uEsREXkgp6yw+Pr64ubmlqTnDAg4AHTjm28C+fXXX3nuuefuv+NPP0HWrCy77sWFy9bLe+ECvPkmbN0KEyYkaViSWvn5QevW1nqbNrBihTUFt4iI3JdTVliSw8CBXwDjmDFj773Jyo0b1ofO1aswfDi88QZNm94eofbxx61bQSKxli2zMlmA8+eteaREROSBlLAkgp8fnDz5MVCfTp0y4ef37wPGQGAgZMsGderEuc9TvDgULGit//gj1KqV0lGLQ2vWDPLnt9bz54emTe0bj4iIg1PCkgjWl2GrG0+cL8Offw7du1tdfHr3hmzZWLIExoyxcphNm6zdvLzsE7c4MB8fWLjQWl+4ULeDREQSoIQlEe75MpxtPdy6BZ06wZdfAnDxovX4M89ApUrWuroqS7xiMllltCIiCVLCkghxvgzPj8Zn02fw559Wt5+cOYmIgMqVrVtHnp7QoIF94xUREXE2SlgSyTtyF5/TC6+yNli8GMqV4+hRWLAAMmSA3btV1RcREUkuSlgSyTz5FBupYa3/O1nh5cvENsDNlctOgUnSCwuzZpUMC7N3JCIi8i8lLIlkcuXmO17BYKNBA9i4EapWhQ8+sHdkkuTCwmD0aCUsIiIOxCkHjksOkZHW0mazvnyXK2fXcERERNIUJSyJtHmztTQGHjTIrYiIiCQP3RJKpJo1raW6KouIiKS8VJWwjB8/np49e9KhQwfWr19vpxjUtEFERCSlpZqE5bPPPuPo0aN8+eWXfPXVV7z22mscP348xeP44AMlLCIiIiktVSQs4eHhjBo1is6dOwOQKVMmGjZsyLhx4+wcmYiIiKSEVJGwbN68matXr1K6dOnYbWXLlmX58uV2jCphrq4wcmScORFFRETkEaSKhCUgIAAXFxdy5swZuy1nzpxcvnyZ69ev37N/yZIl8fDwwMPDg8mTJydJDK6uMGzYwx8zapQSFnkAZbQiIomWKro1BwYGkiNHDlxcbudXrv++yQcHB8dJZAAOHTqEm5tbksbg6grDh2ugOElCMRmtiIgkKFVUWHLlykXYXS1dQ0JCAO5JVkRERMT5pIqEpWjRoty6dYvQ0NDYbZcvX8bDw4MsWbLYMTIRERFJCakiYalVqxZ58uRh586dsdsCAgJo3LixHaMSp7VvX9yliIjYXapIWDJkyMCAAQNYvHgxALdu3WLNmjUMe9hWsCIJ8fOD1q2t9TZtbk/HLSIidpUqEhaAoUOHkj59et5880369u3LrFmzePLJJ1M0Bn3xTgOWLYMLF6z18+fh55/tG4+IiABgM8YYeweRVIKCgnB3dycwMDDJewn5+cELL1ifZfnzw4oV4OOTpJcQR+DnB40bW8mKftEiIikiMZ/fqabCYm/64p1G+PjAwoXW+sKFSlZERByEEpZEatbM+sIN1rJpU/vGI8nIyyvuUkRE7E4JSyLpi7eIiIj9KGF5CPriLSIiYh9KWERERMThKWERERERh6eERURERByeEhYRERFxeEpYRERExOE5ZcLSuXNnFi1aZO8wREREJImkt3cAycHX1zfJh+YXERER+3HKCouIiIg4FyUsD8HVFUaOtJYiIiKScpzyllBycXWFUaPsHYWIiEjaowqLyN1UShMRcTiqsIjcTaU0ERGHowqLiIiIODwlLCIiIuLwlLCIiIiIw1PCIiIiIg5PCYuIiIg4PCUsIiIi4vCUsIiIiIjDU8IiIiIiDk8Ji4iIiDg8JSwiIiLi8JwyYencuTOLFi2ydxgiIiKSRJwyYfH19aV169b2DkPuY/LkyfYOQR5AvxvHpd+N49LvJuXYjDHG3kEklaCgINzd3QkMDMTNzc3e4ch9eHh48Pfff9s7DLkP/W4cl343jku/m6SRmM9vp6ywpISUuuXkbNdJCc72mjnT7wZS5vnod/NonOl10+/G+a6TPhnisJuYYlFQUFCyX+v777+nYcOGus5DMsYk++/H2V4zZ/rdQMo8H/1uHo0zvW763aSu68S8hvHd9HGqW0J///03hQoVsncYIiIi8gjOnDmDh4fHfR9zqoQlOjqac+fOkT17dmw2m73DERERkUQwxnDjxg0KFCiAi8v9W6s4VcIiIiIizkmNbkVERMThKWERERERh6eERURERByeU3VrHj9+PCdOnCA4OJju3btTp04de4ckwKlTp+jVqxdbtmyhWLFiTJ48mdq1a9s7LLnLL7/8Qt++fTl58qS9Q5G7BAYG4uvrS65cuShYsKD+/9jZzZs3GTp0KG5ubkRGRhIWFsbEiRNxdXW1d2hOzWka3X722Wfs2bOH2bNnExoaire3NytWrKBo0aL2Di1NM8bQsGFD6tevT758+Zg0aRJHjx5l3759+t04kOvXr1OhQgUiIyP566+/7B2O3OH48eO88847fPbZZ+TOndve4QjQt29fihYtysCBAwF4/fXXyZkzJ2PGjLFzZM7NKW4JhYeHM2rUKDp37gxApkyZaNiwIePGjbNzZHLgwAGGDh3K4MGD6dixI7/++is2m43ly5fbOzS5wzvvvEOnTp3sHYbc5fr163Tq1ImpU6cqWXEgGzZsoHDhwrE/lylThn379tkxorTBKRKWzZs3c/XqVUqXLh27rWzZsvpQdADPPPMMdevWjf358ccfx9PTU6VTB/LTTz9RoUIFnnjiCXuHIncZOXIkRYoUYfz48VSuXJkhQ4YQGRlp77DSPC8vL6ZPn050dDQAu3btonfv3naOyvk5RcISEBCAi4sLOXPmjN2WM2dOLl++zPXr1+0YmWTMmPGebdevX6dJkyZ2iEbuduXKFVasWEGXLl3sHYrcJTg4mFmzZlGuXDmmTJnCnDlzmDFjBkOHDrV3aGne5MmTOXHiBJ06dWLLli28+OKLNGrUyN5hOT2nSFgCAwPJkSNHnNHxYr7BBwcH2yssuY+NGzfSsmXLBw69LCnr3Xff1X13B7V9+3ZCQkLo0KEDNpuNEiVK0LZtW2bMmBH7zV7sI3/+/CxYsAB3d3deeOEF/T5SiFMkLLly5SIsLCzOtpCQEIA4VRexr4iICObNm8d7771n71AEWLBgAbVq1SJfvnz2DkXu48KFCwBkzZo1dlutWrUICQnh7Nmz9gpLgEOHDrF161amTZvGRx99RMuWLVm9erW9w3J6TpGwFC1alFu3bhEaGhq77fLly3h4eJAlSxY7RiZ3mjRpEiNGjFD7FQcxc+ZM2rVrh81mw2az0bVrV06dOoXNZmPDhg32Di/Ny549O0Cc29qPP/44oC9i9tajRw+qV68eu/76668zaNAgO0fl/JwiYalVqxZ58uRh586dsdsCAgJo3LixHaOSO82aNYvnn38+djbtsLAwoqKi7BxV2vbll1/i5+cX+2/06NHkz58fPz8/nn32WXuHl+ZVqVKFDBkysGPHjtht165dw8fHh2zZstkxMtm7d2+c9nndu3fnzJkzdowobXCKhCVDhgwMGDCAxYsXA3Dr1i3WrFnDsGHD7ByZAEyfPp0TJ05w4cIFVq1axeLFi+nRo4dm1LazYsWK4e3tHfvviSeeIGPGjHh7e+sD0QHkzp2bN998kxkzZsRuW7JkCW+//bYdoxKARo0asXLlytif//zzT3UkSAFOM3BcVFQUw4YNIzw8nMDAQHr27Mlzzz1n77DSvNmzZ9O9e/d7tvfr149PPvnEDhHJg8yZM4dRo0Zp4DgHEhkZyZAhQwgODsbNzY3ChQvTt29fe4eV5gUGBjJo0CAKFChAtmzZuHDhAv/73/9wd3e3d2hOzWkSFhEREXFeTnFLSERERJybEhYRERFxeEpYRERExOEpYRERERGHp4RFREREHJ4SFhEREXF4SlhERETE4SlhEREREYenhEVEREQcnhIWERERcXhKWERERMThKWERERERh6eERURERByeEhYRcUh9+/YlQ4YM2Gw2bDYbpUqVAmDixIm4uLhgs9moV6+enaMUkZRiM8YYewchInI/e/bsoXbt2gQFBbFixQpeeOEFIiIiePrppxkzZgwdO3a0d4gikkKUsIiIQ1u2bBnNmzenePHi+Pn5MXLkSPLnz8/AgQPtHZqIpCAlLCLi8AYOHMiUKVN47rnnePrpp/n666/tHZKIpDAlLCLi8CIiInjuuefYuXMnixcvpkWLFvYOSURSmBrdiojDu3HjBq6uruTMmZOePXty5swZe4ckIilMCYuIOLTIyEg6duzIRx99xKxZs7h69Spt27YlMjLS3qGJSApSwiIiDm3gwIG0aNGCSpUq0bJlS1577TW2bt3KkCFD7B2aiKQgtWEREYc1adIklixZwqZNm2K33bp1izx58hAaGsqXX35Jjx497BihiKQUVVhExCENGDCAQYMGsW3bNsaNGxe7vUWLFoSGhgLQs2dP6tSpY68QRSQFqcIiIiIiDk8VFhEREXF4SlhERETE4SlhEREREYenhEVEREQcnhIWERERcXhKWERERMThKWERERERh6eERURERByeEhYRERFxeEpYRERExOEpYRERERGH93/Pc99kIuDd+wAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.errorbar(x[~m_bkg], y[~m_bkg], yerr=yerr[~m_bkg], ls='', marker='.', color='blue', label='Data')\n", "ax.errorbar(x[m_bkg], y[m_bkg], yerr=yerr[m_bkg], ls='', marker='.', color='red', label='Outliers')\n", "ax.plot(x, m_true*x + b_true, color='black', ls='-', label='True Relation')\n", "ax.plot(x, m_ls * x + b_ls, color='red', ls=':', label='Least Squares')\n", "ax.plot(x, ml_m * x + ml_b, color='blue', ls=':', label='ML')\n", "ax.set_ylabel('y', fontsize='x-large')\n", "ax.set_xlabel('x', fontsize='x-large')\n", "ax.minorticks_on()\n", "ax.legend(loc='best');" ] }, { "cell_type": "markdown", "id": "30cb3c94-64fe-4b91-8abc-ee1958582bd3", "metadata": {}, "source": [ "Actually a little worst than least-squares (again this varys with random.seed), but can we do this fit better, identify the real scatter in the fit and identify the outliers. First, define a new likelihood function, one that uses a prior and a foreground/background function for outliers." ] }, { "cell_type": "code", "execution_count": 362, "id": "eb2b1e6f-9fd8-45a7-862e-cfce967f60e5", "metadata": {}, "outputs": [], "source": [ "# Define the probabilistic model...\n", "# A simple prior:\n", "bounds = [(0.1, 1.9), (-0.9, 0.9), (0, 1), (-2.4, 2.4), (-7.2, 5.2)]\n", "\n", "\n", "def lnprior(p):\n", " # We'll just put reasonable uniform priors on all the parameters.\n", " if not all(b[0] < v < b[1] for v, b in zip(p, bounds)):\n", " return -np.inf\n", " return 0\n", "\n", "\n", "# The \"foreground\" linear likelihood:\n", "def lnlike_fg(p):\n", " m, b, _, M, lnV = p\n", " model = m * x + b\n", " return -0.5 * (((model - y) / yerr) ** 2 + 2 * np.log(yerr))\n", "\n", "\n", "# The \"background\" outlier likelihood:\n", "def lnlike_bg(p):\n", " _, _, Q, M, lnV = p\n", " var = np.exp(lnV) + yerr**2\n", " return -0.5 * ((M - y) ** 2 / var + np.log(var))\n", "\n", "\n", "# Full probabilistic model.\n", "def lnprob(p):\n", " m, b, Q, M, lnV = p\n", "\n", " # First check the prior.\n", " lp = lnprior(p)\n", " if not np.isfinite(lp):\n", " return -np.inf, np.zeros_like(y), np.zeros_like(y)\n", "\n", " # Compute the vector of foreground likelihoods and include the q prior.\n", " ll_fg = lnlike_fg(p)\n", " arg1 = ll_fg + np.log(Q)\n", "\n", " # Compute the vector of background likelihoods and include the q prior.\n", " ll_bg = lnlike_bg(p)\n", " arg2 = ll_bg + np.log(1.0 - Q)\n", "\n", " # Combine these using log-add-exp for numerical stability.\n", " ll = np.sum(np.logaddexp(arg1, arg2))\n", "\n", " # We're using emcee's \"blobs\" feature in order to keep track of the\n", " # foreground and background likelihoods for reasons that will become\n", " # clear soon.\n", " return lp + ll, arg1, arg2" ] }, { "cell_type": "markdown", "id": "c745018c-df51-4934-a310-9971770108d4", "metadata": {}, "source": [ "Now run emcee for a MCMC analysis.\n" ] }, { "cell_type": "code", "execution_count": 363, "id": "90ef2f17-9a39-4cbf-a06e-469fb60c2a77", "metadata": {}, "outputs": [], "source": [ "# Initialize the walkers at a reasonable location.\n", "ndim, nwalkers = 5, 32\n", "p0 = np.array([1.0, 0.0, 0.7, 0.0, np.log(2.0)])\n", "p0 = [p0 + 1e-5 * np.random.randn(ndim) for k in range(nwalkers)]\n", "\n", "# Set up the sampler.\n", "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob)\n", "\n", "# Run a burn-in chain and save the final location.\n", "state = sampler.run_mcmc(p0, 100)\n", "\n", "# Run the production chain.\n", "steps=1500\n", "sampler.reset()\n", "sampler.run_mcmc(state, steps)\n", "samples = sampler.chain" ] }, { "cell_type": "markdown", "id": "da258550-9f00-4cb9-acee-c5fe5f97058e", "metadata": {}, "source": [ "Let's look at that corner plot, focus on m and b." ] }, { "cell_type": "code", "execution_count": 364, "id": "39316919-a48b-40c3-8656-c9bb3043fc3e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Deprecated keyword argument 'extents'. Use 'range' instead.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "\n", "labels = [\"$m$\", \"$b$\", \"$Q$\", \"$M$\", \"$\\ln V$\"]\n", "truths = true_params + [true_frac, true_outliers[0], np.log(true_outliers[1])]\n", "corner.corner(sampler.flatchain, bins=35, extents=bounds, labels=labels, truths=truths);" ] }, { "cell_type": "markdown", "id": "08f21716-deb9-4dd4-9c17-4f62d0562447", "metadata": {}, "source": [ "Long and narrow fit space, let's look at a range of fits between 15 and 85% of the chain." ] }, { "cell_type": "code", "execution_count": 365, "id": "2fbb4770-f8b3-40b9-bc51-d06ef7abe86d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum likelihood result:\n", "slope: 1.04\n", "y-intercept: -0.15\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the quantiles of the predicted line and plot them.\n", "A = np.vander(x0, 2)\n", "lines = np.dot(sampler.flatchain[:, :2], A.T)\n", "quantiles = np.percentile(lines, [16, 84], axis=0)\n", "mid=np.percentile(lines, [50], axis=0)\n", "m_ml=(mid[0][-1]-mid[0][0])/(x0[-1]-x0[0])\n", "b_ml=mid[0][0]-m_ml*x0[0]\n", "print(\"Maximum likelihood result:\")\n", "print(\"slope: {0:1.2f}\".format(m_ml))\n", "print(\"y-intercept: {0:1.2f}\".format(b_ml))\n", "plt.plot([0,10],[m_ml*0.+b_ml,m_ml*10.+b_ml],color='k',ls=':')\n", "plt.fill_between(x0, quantiles[0], quantiles[1], color=\"#8d44ad\", alpha=0.5)\n", "\n", "# Plot the data.\n", "plt.errorbar(x, y, yerr=yerr, fmt=\",k\", ms=0, capsize=0, lw=1, zorder=999)\n", "plt.scatter(x, y, marker=\"o\", s=22, c=\"k\", zorder=1000)\n", "\n", "# Plot the true line.\n", "plt.plot(x0, y0, color=\"k\", lw=1.5)\n", "\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$y$\");" ] }, { "cell_type": "markdown", "id": "4b7eaf5c-8a9b-4a64-b805-ceafc28b3655", "metadata": {}, "source": [ "Now let's find the outliers using the \"blobs\" option from emcee." ] }, { "cell_type": "code", "execution_count": 366, "id": "ac82e6b9-4d96-482f-9b22-178475e93a95", "metadata": {}, "outputs": [], "source": [ "norm = 0.0\n", "post_prob = np.zeros(len(x))\n", "for i in range(sampler.chain.shape[1]):\n", " for j in range(sampler.chain.shape[0]):\n", " ll_fg, ll_bg = sampler.blobs[i][j]\n", " post_prob += np.exp(ll_fg - np.logaddexp(ll_fg, ll_bg))\n", " norm += 1\n", "post_prob /= norm" ] }, { "cell_type": "markdown", "id": "acdc702a-96fe-4501-a8d9-a87fa07692b6", "metadata": {}, "source": [ "post_prob holds the information for determining outliers, if the value is near zero, its a bad point, greater than 0.1 it's probably real data. First, check the acceptance rate for the whole sample, and look at the chains to see if burn-in was a factor." ] }, { "cell_type": "code", "execution_count": 369, "id": "797b5e3a-899c-42fd-90c1-4d66b3d7a43f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean acceptance rate is: 0.51\n" ] } ], "source": [ "print(\"Mean acceptance rate is: {0:1.2f}\".format(np.mean(sampler.acceptance_fraction)))" ] }, { "cell_type": "markdown", "id": "d98a632b-a43c-4291-9728-7462a3a1700e", "metadata": {}, "source": [ "This acceptance rate is okay. If it is too low, the emcee documentation suggests increasing the number of walkers until the acceptance fraction is at the desired level.\n", "\n", "Let's visualize the chains." ] }, { "cell_type": "code", "execution_count": 370, "id": "e78f24d1-1cd6-49cb-bf99-7abc92d9c4d1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "dim_name = [\"$m$\", \"$b$\", \"$Q$\", \"$M$\", \"$\\ln V$\"]\n", "\n", "for dim in range(ndim):\n", " ax = fig.add_subplot(ndim, 1, dim+1)\n", " for i in range(nwalkers):\n", " ax.plot(np.arange(steps),\n", " samples[i, :, dim],\n", " ls='-',\n", " color='black',\n", " alpha=10./nwalkers)\n", " ax.set_ylabel(dim_name[dim], fontsize='large')\n", "ax.set_xlabel('step', fontsize='large');" ] }, { "cell_type": "code", "execution_count": 371, "id": "df89333b-e738-42ee-931e-1956ca0c5b77", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " x y yerr pp m_bkg\n", " 2.830 -0.182 0.457 0.000 True\n", " 3.323 0.432 0.433 0.000 True\n", " 4.188 6.867 0.287 0.000 True\n", " 7.050 4.895 0.531 0.009 True\n", " x y yerr pp m_bkg\n", " 0.435 0.387 0.377 0.966 False\n", " 0.461 -0.239 0.349 0.889 False\n", " 0.695 0.473 0.433 0.962 False\n", " 1.164 0.934 0.240 0.970 False\n", " 1.863 2.403 0.497 0.911 False\n", " 1.909 2.170 0.233 0.925 False\n", " 2.322 2.753 0.250 0.848 False\n", " 2.509 2.240 0.329 0.962 False\n", " 3.147 2.603 0.600 0.930 False\n", " 3.171 2.604 0.312 0.883 False\n", " 3.939 3.073 0.549 0.868 False\n", " 3.982 3.132 0.516 0.862 False\n", " 4.218 4.656 0.339 0.958 False\n", " 4.812 5.383 0.489 0.963 False\n", " 6.039 6.243 0.342 0.989 False\n", " 6.082 6.122 0.384 0.988 False\n", " 6.685 6.951 0.298 0.992 False\n", " 6.768 6.867 0.313 0.992 False\n", " 7.285 7.577 0.550 0.990 False\n", " 7.453 7.352 0.257 0.991 False\n", " 9.174 9.365 0.312 0.997 False\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the predition.\n", "plt.fill_between(x0, quantiles[0], quantiles[1], color=\"#8d44ad\", alpha=0.5)\n", "\n", "# Plot the data points.\n", "plt.errorbar(x, y, yerr=yerr, fmt=\",k\", ms=0, capsize=0, lw=1, zorder=999)\n", "# Plot the (true) outliers.\n", "plt.scatter(x[m_bkg],y[m_bkg],marker=\"s\",s=22,c=post_prob[m_bkg],cmap=\"gray_r\",edgecolor=\"k\", vmin=0, vmax=1, zorder=1000)\n", "# Plot the (true) good points.\n", "plt.scatter( x[~m_bkg], y[~m_bkg], marker=\"o\", s=22) # c=post_prob[~m_bkg], cmap=\"gray_r\", vmin=0, vmax=1, zorder=1000)\n", "\n", "# Plot the true line.\n", "plt.plot(x0, y0, color=\"k\", lw=1.5)\n", "plt.plot([0,10],[m_ml*0.+b_ml,m_ml*10.+b_ml],color='k',ls=':')\n", "\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$y$\");\n", "\n", "print(' x y yerr pp m_bkg')\n", "for r,s,e,pp,b in zip(x[m_bkg],y[m_bkg],yerr[m_bkg],post_prob[m_bkg],m_bkg[m_bkg]): print(4*'%6.3f ' % (r,s,e,pp),b)\n", "print(' x y yerr pp m_bkg')\n", "for r,s,e,pp,b in zip(x[~m_bkg],y[~m_bkg],yerr[~m_bkg],post_prob[~m_bkg],m_bkg[~m_bkg]): print(4*'%6.3f ' % (r,s,e,pp),b)" ] }, { "cell_type": "markdown", "id": "49a758c9-d4ec-46f3-ad4c-2e23627edc0e", "metadata": {}, "source": [ "For this random.seed, it seems to have correctly identified all the outliers (although we made them really obvious)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }