{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Robust fitting of linear models using Least Absolute Deviations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://en.wikipedia.org/wiki/Least_absolute_deviations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config IPython.matplotlib.backend = \"retina\"\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import rcParams\n",
    "rcParams[\"figure.dpi\"] = 300\n",
    "rcParams[\"savefig.dpi\"] = 300\n",
    "rcParams['figure.figsize'] = [7, 5]\n",
    "rcParams[\"text.usetex\"] = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lad import lad"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's create some fake data with outliers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0, 10, 100)\n",
    "noise = 10 * np.random.normal(size=len(x))\n",
    "y = 10 * x + 10 + noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "mask = np.arange(1, len(x)+1, 1) % 5 == 0\n",
    "y[mask] = np.linspace(6, 3, len(y[mask])) * y[mask]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12c8f2128>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12c823ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x[~mask], y[~mask], 'ok', markersize=3., alpha=.5)\n",
    "plt.plot(x[mask], y[mask], 'o', markersize=3., color='red', alpha=.5, label='Outliers')\n",
    "plt.plot(x, 10 * x + 10, 'k', label='True line')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.vstack([x, np.ones(len(x))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 100)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100,)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compute the linear least squares model using ``tf.matrix_solve_ls``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "with tf.Session() as sess:\n",
    "    X_tensor = tf.convert_to_tensor(X.T, dtype=tf.float64)\n",
    "    y_tensor = tf.reshape(tf.convert_to_tensor(y, dtype=tf.float64), (-1, 1))\n",
    "    coeffs = tf.matrix_solve_ls(X_tensor, y_tensor)\n",
    "    m, b = sess.run(coeffs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12de64e80>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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djIhXI5sXrxBZdV1pC+cZ28L8eRFZNWBEFiJefe6OP6trCM/dCgyB3VOr1Tbcn8vlolAotNfL5fJud2kguU4AAAAAAL2x54K9tSyHYh92bJparrTrhdmOx+Nr7BfIwT5y7NhK5v748cYj5n7yySebnq9SqbQf12q1mJ7e/O8Jms1mTExMbNpuP3GdAAAAAAB2biCCvYiINE1nojtk+5cenbrRuZIkSXHV/l7MldeLcPD/johL2/z5Lz14XthXcrmVaTPr9fVH9S2XyxvubykWi1EqrRQRl8vldSvSms1mTE5OxtGjR7cUbO0nrhMAAAAAwM7txTn2NnItIlp3hnNJkowvD9XZS4WI6Bx/b3Uod2yNbZvZcTiYpunDiHi4nWOSJNnp08K+MzIyEpOT2a+NRqMRly9fjnK5HPl8PprNZly/fj2mp6ej2WxGPp+PRqOxyRkjpqam4vHjxzEzk43sOz09HdPT01EsFiOXy0Wz2YxGo9F1rmbz4BUDu04AAAAAADszaMHe7VXrIxHRFewlSVKIrJovHxETW5hnb3XodmGT/bnYms7zuDMNe0SxWIxCodCuxqvX62tWjo2Pj8fVq1fj6NGjWzpvtVqNycnJrqEj15ujb3R0tGtoyoPEdQIAAAAAeH59HYozSZJikiRzSZLcTpKktPkRsbp05s012vxLZFV3ucjm4ttqELem5fn9OoO5Y+u1XaXzeW/spA9Ab83NzcX4+HgUCoX2tnw+H6OjozE1NRVpmj5XoDQ+Ph4LCwtRqVSiUCi0h/3M5XJRKBRifHw8bt++HdVqNfL5fM9ez6BxnQAAAAAAnk+Spml/njgL3BZWbb6Qpum6494lSTIaEdWOTc00TY+uanM7smq9lqPL4dx658xHdyXgxOrhPZMkmY2I1tx75S1UAT7XMb2WJMkbEXGztX7z5s144403nvt8i4uL8Ze//KVr2+9+97sYHh60wk8A6B3/PgIAAADsb7du3YpLly51brqUpumtfvSlnxV7a5VhFNbY1ml1tdxalXCdweDkRqHeOv1Ya0y4zjBxqxWAnX1de5w5AAAAAAAA2KJ+BntrBW6bBWCXV61X12hTj4iZyCr1JtbYv1pnmNhI07SJb8DRAAAgAElEQVS+RptrHY9HtnDOzvPWN6pCBAAAAAAAgK3oW7C3HHY1Igv4piPi8haq64odj5vrDG85FRGj2+jKHzserxkELver9VzFtdp0Wh4ydMNzAgAAAAAAwHb0s2IvIgu9chExt06lXFuSJMXoHjbzw7XaLQeG0xHxp82efDmAa1XWzaRpOrNJX5vLx5U2OXW545yG4QQAAAAAAGDH+hrsLQdpExExlSRJZb12SZLko3vYzYmNQrg0TcsRkUuSZDZJkjXnxFsOClvnrKVpOrZJX5sR0WozlSTJmvMBJkkyHllVXyPWCR8BAAAAAABgu/pdsRdpmk5GNm9dMUmShSRJppIkGU2SpJAkSXE58LsdWWVfIyJGlo/ZTGs+vtXnHE2SpBoRs8v7J9I03dK8ecvVd5eX+zGXJMl4KzhMkiS/fN5KZHMFbmVoUQAAAAAAANiS4X53IGIlMFseGnMkIq5GNuxmLrLhL2ci4pNNhspcfc5mRIwsV+aVI+JfOs7XiKxScHq74dvykKEXlofjLEfE1eVwrxlZoDdi+E0AAADYJffvR9TrEQ8eRDx9GnH4cMTp0xGFQsSZM/3uHQAA7Ko9Eey1LAd3Ww7vtnjOWmSBW0+laTod2Vx+AAAAwG67dy/i008j7t59dt+dOxHXr0ecPx/xzjsRZ8+++P4BAMALsKeCPQAAAIBnfPVVxLVrEYuLEUtLEfPzEY8eZevDwxEnTkScPJkFfB9/HHHlSsRrr/W71wAA0HOCPQAAAGDvundvJdR79Cjiyy8jfvqpu838fMTXX0dcvBhx/HjW/v33Ve4BALDvDPW7AwAAAADr+vTTlVDv1q0s1Dt8OOK3v414/fVsefhwtv3mzYjvvsvaf/ZZv3sOAAA9p2IPAAAA2Jvu3cvm1Ftayir10jTi1KmI3/8+Yqjjb5VfeSXiiy8iHj7Mlm+/nQ3Lef9+xJkzfes+AAD0moo9AAAAYG/685+z5fz8SqXe6lAvIlu/eHGlcm9+Ptter7/Y/gIAwC4T7AEAAAB704MH2fLRo2x5+vSzoV7L0FC2v7N963gAANgnBHsAAADA3vT0abZcXMyWR45s3L61v9W+dTwAAOwTgj0AAABgbzp8OFsOD2fLJ082bt/a32rfOh4AAPYJwR4AAACwN7WG1jxxIls+eBCxtLR226WllaE3W+1bxwMAwD4h2AMAAAD2pkIhW548GXHoUDa05hdfPBvuLS1l258+zdqdPNl9PAAA7BPD/e4AAAAAwJrOnIk4dy7i7t2Iixcjbt6MePgwotnMqvGOHMmG33zwIAv1kiRrNzQUcf58djwAAOwjKvYAAACAvevdd7M5844fj7h0aaVy79tvIz7/PFu2KvUuXcraDQ9HvPNOv3sOAAA9p2IPAAAA2LvOno24ciXi2rUstHv77Yj5+YhHjyIWF7MQ78SJbPjNoaFs/cqV7DgAANhnBHsAAADA3vbaaxHvvx/x2WcRd+5EnDqV/ax2/nxWqSfUA2A/un8/ol5fGYL68OFsaOpCwfDTcIAI9gAAAIC97+zZiA8+cFMTgIPn3r2ITz/N5pxd7c6diOvX/XELHCCCPQAAAGBwnDkT8d57/e4FALwYX32VDUe9uBixtLT+cNR37kR8/HE2HPVrr/W718AuEuwBAAAAAMBec+/eSqj36FHEl19G/PRTd5v5+Yivv464eDGbi/batWz4apV7sG8N9bsDAAAAAADAKp9+uhLq3bqVhXqHD0f89rcRr7+eLQ8fzrbfvBnx3XdZ+88+63fPgV2kYg8AAAAAAPaSe/eyOfWWlrJKvTSNOHUq4ve/jxjqqNd55ZWIL76IePgwW779djYs5/375p6FfUrFHgAAAAAA7CV//nO2nJ9fqdRbHepFZOsXL65U7s3PZ9vr9RfbX+CFEewBPdNsNiNJkvZPuVzud5eAHRobG2t/pycnJ/vdHQAAADgYHjzIlo8eZcvTp58N9VqGhrL9ne1bxwP7jmAPANixzlD/8uXL/e4OAAAADLanT7Pl4mK2PHJk4/at/a32reOBfUewBwAAAAAAe8nhw9lyeDhbPnmycfvW/lb71vHAviPYAwAAAACAvaQ1tOaJE9nywYOIpaW12y4trQy92WrfOh7Yd4b73QEAYPCVSqV4/PhxRETk8/k+9wYAAAAGXKEQcf16xMmTEV9/nQ2t+cUXERcvds+1t7SUbX/6NOLQoax963hgXxLsAfRRuVyO6enpiIiYnZ2NYrHY5x7B85mamup3FwAAAGD/OHMm4ty5iLt3szDv5s2Ihw8jms2sGu/IkWz4zQcPslAvSVZCv/Pns+OBfclQnAAAAAAAsNe8+242Z97x4xGXLmUVeU+fRnz7bcTnn2fLVqXepUtZu+HhiHfe6XfPgV2kYg8AAAAAAPaas2cjrlyJuHYtC+3efjtifj7i0aOIxcUsxDtxIht+c2goW79yJTsO2LcEewAAAAAAsBe99lrE++9HfPZZxJ07EadOZT+rnT+fVeoJ9WDfE+wBAAAAAMBedfZsxAcfRNy/H1Gvr8yrd/hwNt9eoWBOPThABHvAwGk2m1Gr1aLRaERERKFQiGKxuO1z3LhxIxqNRjSbzcjlcpHP57d9nrX60zrXm2++Gblcbtvne1F61e96vR43btyIZrMZhULhmeMnJibajyuVSu9ewDbs9P2u1WoxOzsbERHlcjny+XzX/nq9Ho1GI3K53Ibn3Olnd1A/a51mZmbi+vXrEfHstWw0Gs9cy9XXeit68TsCAAAA9pwzZyLee6/fvQD6TLDHC7O4tBh3v7/b727se+f+/lwMD+3Pr3aj0YhyuRy1Wm3N/ePj45sGR7VaLSqVyrrnyOVyUalUolQqbdqfmZmZmJiYaIcHaykUCvHHP/4xxsfHIyILgC5fvrxm25GRkTW3Lyws9DS0eZ5+r3eeDz/8MJrN5jP7SqVS+72YnJxsb1/v/RkbG4uZmZn2sVNTU+s+7+prmKbpum179X5Xq9WYnp6OiOx9aoVNk5OT8dFHH7WvQalUWjNA2ulnt1fv2W7qfA8rlcq6/fjkk0/a7d56663I5/NRq9WiXC6v+foKhUJUq9UtBXy9+B0BAAAAAHvZ/rz7z5509/u78er/9Wq/u7HvffPfv4lXcq/0uxs9NzMzE2NjYxu2mZycjFqtFn/605/WDMJGRkbWveHf0mw2o1wux9zc3Ibh0sTERFdgtZ56vR71ej1KpdKeqKjqVb83O8/09HRcu3YtqtXqjvq7E718v9c67g9/+EPU6/VN2+70szuon7WtKpfL7dB0LfV6PUZGRuL27dsbnqcXvyMAAAAAYK8b6ncHADaz+oZ9qVSKubm5SNM0FhYWYnZ2tl0lVa/XN725XywWY2pqKubm5mJhYaF9ns5Knunp6XXDhkaj8UwVWus8rXPNzc1FpVKJfD4fuVyuHSLk8/mYmppq/3RWIY2Pj3fta/30KoDYSb87TU5OPhM0dV7TarUao6Oj0Ww2161CfJF2+n6v1mg04tVXX22HerlcLkqlUlSr1a5hRyN2/tnt1Xu2V01MTMT09HQUCoWYnZ2NhYWF9nUpFArtdo1GY8P3p9e/IwAAAABgr1KxB+xpzWaz6yb83Nxc1w3/1jxcxWKxXdlUq9WiVqs9MyTi2NhYVCqVruM7z9MaOrAVzkxMTKw5RGNrGMGILIxbPeRgLpeLQqEQhUIhxsfHu4YXbIVALdVqtb1/ZGRkV+cB20m/WxqNxjPhVSvIaykUCjE6OhrT09NRLpd7/Cq2rlfv92oTExPtoTc3GnKyF5/dXrxne1mj0Yh8Ph9zc3Nd24vFYszNzcWFCxfar2lqamrN96eXvyMAAAAAYK9TsQfsaZ0h0uoqntU6Q5y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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12c90f780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x[~mask], y[~mask], 'ok', markersize=3., alpha=.5)\n",
    "plt.plot(x[mask], y[mask], 'o', markersize=3., color='red', alpha=.5, label='Outliers')\n",
    "plt.plot(x, 10 * x + 10, 'k', label=\"True line\")\n",
    "plt.plot(x, m * x + b, 'g', label=\"Least squares line\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's use ``lad`` to compute the linear model with the least absolute deviations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "l1coeffs, cov = lad(X.T, y, yerr=np.std(y), cov=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "sess = tf.Session()\n",
    "m_l1, b_l1 = sess.run(l1coeffs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the estimated values are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 10.5233137]), array([ 13.6857041]))"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m_l1, b_l1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The uncertanties on the fitted coefficients are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.42935153,  3.5996013 ])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unc = np.sqrt(np.diag(sess.run(cov)))\n",
    "unc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12f80def0>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VajVbrVZj9avearUqEfFGpOvi5SLtrivs4jhTu1g/LyLtBoxIQ8Qbr1z4y9ZN4XlQgSFwcGq12raPZzKZyOVyndvFYvGgSxpKzhMAAAAAQG8MXLC3mdVQ7JOuu2ZWO+16Yb7r++lNHhfIwRFy6tRa5v78+fYz5n7++ec7Hq9cLne+r9VqMTu78/8naDabUSqVdhx3lDhPAAAAAAD7NxTBXkREq9Wai/Uh2z/26NCN7htJkuQ3PN6LtfJ6EQ7+3xFxbY9f/7MHzwtHSiaztmxmvb71rL7FYnHbx9vy+XwUCmtNxMViccuOtGazGZVKJU6ePLmrYOsocZ4AAAAAAPZvENfY287NiGhfGc4kSTK9OlVnL+Uionv+vY2h3KlN7tvJvsPBVqv1NCKe7mWfJEn2+7Rw5ExMTESlkv7aaDQaMT4+HsViMbLZbDSbzbh161bMzs5Gs9mMbDYbjUZjhyNGzMzMxPPnz2NuLp3Zd3Z2NmZnZyOfz0cmk4lmsxmNRmPdsZrN49cM7DwBAAAAAOzPsAV79zfcnoiIdcFekiS5SLv5shFR2sU6extDtys7PJ6J3ek+jivTMCDy+XzkcrlON169Xt+0c2x6ejpu3LgRJ0+e3NVxq9VqVCqVdVNHbrVG3+Tk5LqpKY8T5wkAAAAA4NX1dSrOJEnySZIsJElyP0mSws57xMbWmXc2GfOPkXbdZSJdi2+3QdymVtf36w7mTm01doPu5729nxqA3lpYWIjp6enI5XKd+7LZbExOTsbMzEy0Wq1XCpSmp6djaWkpyuVy5HK5zrSfmUwmcrlcTE9Px/3796NarUY2m+3ZzzNsnCcAAAAAgFeTtFqt/jxxGrgtbbj7SqvV2nLeuyRJJiOi2nVXs9Vqndww5n6k3XptJ1fDua2OmY31nYCljdN7JkkyHxHttfeKu+gCfKV9ei1Jkrcj4k779p07d+Ltt99+5eMtLy/HH/7wh3X3/epXv4rR0WFr/AQA4DD5OxIAAIBhdvfu3bh27Vr3XddardbdftTSz469zdowcpvc121jt9xmnXDdwWBlu1Bvizo2mxOuO0zcbQdgd62bzzMHAAAAAAAAu9TPYG+zwG2nAGx8w+3qJmPqETGr6FwXAAAgAElEQVQXaadeaZPHN+oOExutVqu+yZibXd9P7OKY3cetb9eFCAAAAAAAALvRt2BvNexqRBrwzUbE+C666/Jd3ze3mN5yJiIm91DKb7u+3zQIXK2r/Vz5zcZ0W50ydNtjAgAAAAAAwF70s2MvIg29MhGxsEWnXEeSJPlYP23mJ5uNWw0MZyPidzs9+WoA1+6sm2u1WnM71Npc3a+ww6GLXcc0DScAAAAAAAD71tdgbzVIK0XETJIk5a3GJUmSjfXTbpa2C+FarVYxIjJJkswnSbLpmnirQWH7mLVWqzW1Q63NiGiPmUmSZNP1AJMkmY60q68RW4SPAAAAAAAAsFf97tiLVqtViXTdunySJEtJkswkSTKZJEkuSZL8auB3P9LOvkZETKzus5P2enwbjzmZJEk1IuZXHy+1Wq1drZu32n03vlrHQpIk0+3gMEmS7Opxy5GuFbibqUUBAAAAAABgV0b7XUDEWmC2OjXmRETciHTazUyk01/ORcTnO0yVufGYzYiYWO3MK0bEP3YdrxFpp+DsXsO31SlDr6xOx1mMiBur4V4z0kBvwvSbAAAAcEAeP46o1yOePIl48SJibCzi/PmIXC7iwoV+VwcAAAdqIIK9ttXgbtfh3S6PWYs0cOupVqs1G+lafgAAAMBBe/Qo4osvIh4+fPmxBw8ibt2KuHw54v33Iy5ePPz6AADgEAxUsAcAAADwkm++ibh5M2J5OWJlJWJxMeLZs/T26GjEmTMRZ8+mAd9nn0Vcvx7x5pv9rhoAAHpOsAcAAAAMrkeP1kK9Z88ivv464uef149ZXIz49tuIq1cjTp9Ox3/0kc49AACOnJF+FwAAAACwpS++WAv17t5NQ72xsYhf/jLirbfS7dhYev+dOxE//JCO//LLflcOAAA9p2MPAAAAGEyPHqVr6q2spJ16rVbEuXMRv/51xEjX/1V+/fWIe/cinj5Nt++9l07L+fhxxIULfSsfAAB6TcceAAAAMJh+//t0u7i41qm3MdSLSG9fvbrWube4mN5frx9uvQAAcMAEewAAAMBgevIk3T57lm7Pn3851GsbGUkf7x7f3h8AAI4IwR4AAAAwmF68SLfLy+n2xIntx7cfb49v7w8AAEeEYA8AAAAYTGNj6XZ0NN3+9NP249uPt8e39wcAgCNCsAcAAAAMpvbUmmfOpNsnTyJWVjYfu7KyNvVme3x7fwAAOCIEewAAAMBgyuXS7dmzEa+9lk6tee/ey+Heykp6/4sX6bizZ9fvDwAAR8RovwsAAAAA2NSFCxGXLkU8fBhx9WrEnTsRT59GNJtpN96JE+n0m0+epKFekqTjRkYiLl9O9wcAgCNExx4AAAAwuD74IF0z7/TpiGvX1jr3vv8+4quv0m27U+/atXTc6GjE++/3u3IAAOg5HXsAAADA4Lp4MeL69YibN9PQ7r33IhYXI549i1heTkO8M2fS6TdHRtLb16+n+wEAwBEj2AMAAAAG25tvRnz0UcSXX0Y8eBBx7lz6tdHly2mnnlAPgKPo8eOIen1tCuqxsXRq6lzO9NNwjAj2AAAAgMF38WLExx+7qAnA8fPoUcQXX6Rrzm704EHErVv+cwscI4I9AAAAYHhcuBDx4Yf9rgIADsc336TTUS8vR6ysbD0d9YMHEZ99lk5H/eab/a4aOECCPQAAAAAAGDSPHq2Fes+eRXz9dcTPP68fs7gY8e23EVevpmvR3ryZTl+tcw+OrJF+FwAAAAAAAGzwxRdrod7du2moNzYW8ctfRrz1VrodG0vvv3Mn4ocf0vFfftnvyoEDpGMPAAAAAAAGyaNH6Zp6Kytpp16rFXHuXMSvfx0x0tWv8/rrEffuRTx9mm7fey+dlvPxY2vPwhGlYw8AAAAAAAbJ73+fbhcX1zr1NoZ6Eentq1fXOvcWF9P76/XDrRc4NII9oGeazWYkSdL5KhaL/S4J2KepqanOZ7pSqfS7HAAAADgenjxJt8+epdvz518O9dpGRtLHu8e39weOHMEeALBv3aH++Ph4v8sBAACA4fbiRbpdXk63J05sP779eHt8e3/gyBHsAQAAAADAIBkbS7ejo+n2p5+2H99+vD2+vT9w5Aj2AAAAAABgkLSn1jxzJt0+eRKxsrL52JWVtak32+Pb+wNHzmi/CwAAhl+hUIjnz59HREQ2m+1zNQAAADDkcrmIW7cizp6N+PbbdGrNe/cirl5dv9beykp6/4sXEa+9lo5v7w8cSYI9gD4qFosxOzsbERHz8/ORz+f7XBG8mpmZmX6XAAAAAEfHhQsRly5FPHyYhnl37kQ8fRrRbKbdeCdOpNNvPnmShnpJshb6Xb6c7g8cSabiBAAAAACAQfPBB+maeadPR1y7lnbkvXgR8f33EV99lW7bnXrXrqXjRkcj3n+/35UDB0jHHgAAAAAADJqLFyOuX4+4eTMN7d57L2JxMeLZs4jl5TTEO3MmnX5zZCS9ff16uh9wZAn2AAAAAABgEL35ZsRHH0V8+WXEgwcR586lXxtdvpx26gn14MgT7AEAAAAAwKC6eDHi448jHj+OqNfX1tUbG0vX28vlrKkHx4hgDxg6zWYzarVaNBqNiIjI5XKRz+f3fIzbt29Ho9GIZrMZmUwmstnsno+zWT3tY73zzjuRyWT2fLzD0qu66/V63L59O5rNZuRyuZf2L5VKne/L5XLvfoA92O/rXavVYn5+PiIiisViZLPZdY/X6/VoNBqRyWS2PeZ+37vD+l7rNjc3F7du3YqIl89lo9F46VxuPNe70YvfEQAAADBwLlyI+PDDflcB9Jlgj0OzvLIcD3982O8yjrxL//1SjI4czY92o9GIYrEYtVpt08enp6d3DI5qtVqUy+Utj5HJZKJcLkehUNixnrm5uSiVSp3wYDO5XC5++9vfxvT0dESkAdD4+PimYycmJja9f2lpqaehzavUvdVxPvnkk2g2my89VigUOq9FpVLp3L/V6zM1NRVzc3OdfWdmZrZ83o3nsNVqbTm2V693tVqN2dnZiEhfp3bYVKlU4tNPP+2cg0KhsGmAtN/3bq9es4PU/RqWy+Ut6/j888874959993IZrNRq9WiWCxu+vPlcrmoVqu7Cvh68TsCAAAAAAbZ0bz6z0B6+OPDeOP/eqPfZRx53/2v7+L1zOv9LqPn5ubmYmpqatsxlUolarVa/O53v9s0CJuYmNjygn9bs9mMYrEYCwsL24ZLpVJpXWC1lXq9HvV6PQqFwkB0VPWq7p2OMzs7Gzdv3oxqtbqvevejl6/3Zvv95je/iXq9vuPY/b53h/W9tlvFYrETmm6mXq/HxMRE3L9/f9vj9OJ3BAAAAAAMupF+FwCwk40X7AuFQiwsLESr1YqlpaWYn5/vdEnV6/UdL+7n8/mYmZmJhYWFWFpa6hynu5NndnZ2y7Ch0Wi81IXWPk77WAsLC1EulyObzUYmk+mECNlsNmZmZjpf3V1I09PT6x5rf/UqgNhP3d0qlcpLQVP3Oa1WqzE5ORnNZnPLLsTDtN/Xe6NGoxFvvPFGJ9TLZDJRKBSiWq2um3Y0Yv/v3V69ZoOqVCrF7Oxs5HK5mJ+fj6Wlpc55yeVynXGNRmPb16fXvyMAAAAAYFDp2AMGWrPZXHcRfmFhYd0F//Y6XPl8vtPZVKvVolarvTQl4tTUVJTL5XX7dx+nPXVgO5wplUqbTtHYnkYwIg3jNk45mMlkIpfLRS6Xi+np6XXTC7ZDoLZqtdp5fGJi4kDXAdtP3W2NRuOl8Kod5LXlcrmYnJyM2dnZKBaLPf4pdq9Xr/dGpVKpM/XmdlNO9uK924vXbJA1Go3IZrOxsLCw7v58Ph8LCwtx5cqVzs80MzOz6evTy98RAAAAADDodOwBA607RNrYxbNRd4iz2bSKhUJh2/0jYl1w0mw2N53KsXtKwCtXrmx7vIjY1dpgh6EXdW9cn2x+fn5dqNdtq/XmDkuvXu+N2qFetVrddj27Xrx3h/W9thfbrXnXHQxvFVr28ncEAAAAAAw6wR4w0NrT7+VyuV2FRO0gYDcBzVa6g4HN1lDrDlj6uYbcXvWi7u7pEHcT3G3s7htEO73emykUClsGmm29eO8O63ttL7Y7j92vTTtQ3agfvyMAAAAAoF8Ee8DA6r7wXq/XI0mSHb/aF+23CgF249SpU53vf/jhh5ce7w4iarVaXLlyJSqVyq5DoX7Zb90bx23XadU2DB1kO73em9npZ+/Ve3dY32u7tVNHZfdrs5l+/Y4AAAAAgH6xxh6H5tJ/vxTf/a/v+l3GkXfpv1/qdwk9s9/wotlsRiaT2fX4RqMRzWYznj9/vu24bDYbMzMznYCge925TCYT77zzTkxMTMTk5ORABVv7rfv27dvrjrWbc7tTMNNPu329N8rn8zv+7L167w7re2239lvzYf+OAAAAAIB+E+xxaEZHRuP1zOv9LoMh0t09VSgUYmpqak/7b3fBvlarRbVajVqttuXaXdspFApx6tSp+OSTT9Z1/rTXaavValEqlaJcLm+7Dtth20/d3eOHLQzZ7+vdbTdhVC/fu8P6XtuN/Qa/B/k7AgAAAAAGkWAPGFinT59ed3s362dtp9lsRqlUWrdO3H5MTk7G5ORkzM3Nxfz8fNy+ffulDqJSqRTz8/MxPz/fk+fshV7UPQzTGPb69W7bTRjU6/fusL7XDlqvzzMAAAAADDpr7AEDq7szqnsayFfRaDTijTfeWBfyTE5ORrVajYWFhbh//360Wq1otVp7DgcmJydjZmYmFhYWotVqxfz8/Etro83Nze2r/oOw17q7X4/9dr0dtIN8vXejl+/dbsP6XjsoB3WeAQAAAGBQCfaAgdUduNTr9X2FSVNTU50us0KhEK1WK6rVakxOTkYul+vp+mT5fD6q1eq6aRFnZmZ6dvyDslPduVxu3fharXZote3VYb7em+nle3en5xnG91qvHNZ5BgAAAIBBIdgDBlYmk1kXJhWLxVc6TrPZ7ExbmMlkDi34uHHjRuf7Yeom2qrubDa7bhrKUqm047GeP3/e2+Ji50CxX693t169d3drWN9r+3XY5xkAAAAA+k2wBwy0crnc+b5Wq+1qvbT22mpbPbaTnYKRRqOxq+N0h1qnTp3acfxBdxv1ou5CodD5vl6vR6VS2fZYuw1aup9npzDw888/39UxI3rzer+qXrx3D+q9dpT0+ncEAAAAAAwywR4w0PL5/LowqVgsbhkWNZvNqFQqcfLkyXUX9zOZzLpOs6mpqS2fr1gs7hikzMzMxMmTJ6NYLHY6wzZqNBrrnmerddy6p4Tc2FnWbDa3fY696kXdN27ceKlrb7PXo9lsxsTExK6n6+w+5nY/727OR69f71fVi/duL99rR1UvzjMAAAAADIvRfhcAHF03b97ccxfaxMTEuvXCItJw4/nz5zE3NxcREbOzszE7Oxv5fD4ymUw0m81oNBrrnmtjWHPjxo1Oh87c3FycPHkyrl+/3gmA6vX6rkOodsDSriOTyUQ2m41sNhunTp2K27dvvxTCdHcVbfx52wFDvV6PK1euRDabXffzbJxu8FX1ou5MJhPVajUmJiY6983OzsbNmzcjn893am+/Vu3bO5mYmOh0/zUajRgfH49isRjZbDaazWbcunUrZmdno9ls7uqYvXy992O/791evteOsl78jgAAAACAYSDYAw5Ms9l8pfBkY7AXEVGtVqNSqaybPm+rY09OTr4UbkxPT8fnn3/eCUGazeamHTvtbqft6i6VSvH8+fN1x6rX65t2VLWDsO4Oso21dgdVG8OHTCYTV65c2bKWvehV3fl8PqrV6rousWaz2QlV2vuXy+V45513Ynx8fMfa8vl85HK5Ti31en3Trqvp6em4ceNGnDx5ctvj9fL13q/9vHd7+V476vb7OwIAAAAAhoGpOIGhMT09HUtLS1EulyOXy3UCjHZH2/T0dNy/fz+q1eq6KS7bFhYWYnp6uvNYu/spn89HuVyOhYWFmJ+f33Tfbvl8PhYWFuL+/ftRLpc7nWpt7XrK5XJ89913O06NOD8/v64jL5vNxuTkZMzMzMTS0tK6aQb3o5d1T05Oxv3796NQKKx7HfL5fMzMzMR3332357rbr89W56LVau0pjOnV690Lr/re7fV77ajb7+8IAAAAABh0SavV6ncNHJAkSd6OiDvt23fu3Im33377lY+3vLwcf/jDH9bd96tf/SpGRzV+Apur1+vrOvb8mwNwPPk7EgAAgGF29+7duHbtWvdd11qt1t1+1KJjDwAAAAAAAIaA/yILAAAAwPH2+HFEvR7x5EnEixcRY2MR589H5HIRFy70uzoAgA7BHgAAAADH06NHEV98EfHw4cuPPXgQcetWxOXLEe+/H3Hx4uHXBwCwgWAPAAAAgOPnm28ibt6MWF6OWFmJWFyMePYsvT06GnHmTMTZs2nA99lnEdevR7z5Zr+rBgCOOcEeAAAAAMfLo0drod6zZxFffx3x88/rxywuRnz7bcTVqxGnT6fjP/pI5x4A0FeCPQAAAACOly++WAv17t6NaLXW1tU7cSLip5/W1tu7cyfi2rU03Pvyy4iPP+539QBsx7qpHHGCPQAAAACOj0eP0jX1VlbSTr1WK+LcuYhf/zpiZGRt3OuvR9y7F/H0abp97710Ws7Hj10YBhhE1k3lmBjZeQgAvJpcLhetVqvzBQAA0He//326XVxMp98cG3s51ItIb1+9mj7+88/p+Ii0CwSAwfLNN+l6qO3/uPHHP6Yd2f/yL+n2j39M72+vm/rNN/2uGF6ZYA8AAACA4+PJk3T77Fm6PX/+5VCvbWQkfbx7fHt/AAbDxnVT/+mfIr76Kv0PGUtL6farr9L7f/ghHXfzZrofDCHBHgAAAADHx4sX6XZ5Od2eOLH9+Pbj7fHt/QEYDBvXTW13Y//ylxFvvZVu293Xd+6shXtfftnvyuGVWGMPAAAAgONjbCzdjq5eFvvpp+3Htx9vj2/vD0D/WTeVY0iwBwAAAMDxcf58ejH3zJl0erYnT9ILvptNx7mysjb15pkza/sDvfP4cbp25ZMnaUfs2Fj6OcvlBC7sbK/rpjab6ftscTENAOv1iA8/PPy6B4XP31AS7AEAAABwfORyEbduRZw9G/Htt+mFzHv30gu+3ReCV1bS+1+8iHjttXR8e39g/x49SqdQfPjw5ccePEg/p5cvR7z/fsTFi4dfH8PhVdZN/f77dPy5c8d33VSfv6Em2AMAAADg+LhwIeLSpfRi5tWr6XpLT5+mXRznz6dr6v3001r3QpKshX6XL+tggF745puImzfTdc5WVtLuqWfP0tujo2mH7NmzacDw2WcR169HvPlmv6tmEFk3de98/obeFtE1AAAAABxRH3yQXrw8fTri2rW0I+/Fi7SL46uv0m27U+/atXTc6GjauQDsz6NHa6HCs2cR//RP6educTFiaSndfvVVev8PP6Tjbt5M94ONrJu6Nz5/R4JgDwAAAIDj5eLFtAOhHe69917EW2+lHQonT6bbt95K72+Hetevm44MeuGLL9ZChbt319ZF++Uv08/dL3+Z3v7557Sjth0ufPllvytnELXXPW2vg/rkSdqFthnrpvr8HRGCPQAAAACOnzffjPjoo3R6zZGRdK2lt9+O+Nu/Tbfnzq1Nv/nRR6Yhg1549CidBndlJeLrryNarfSz9nd/F5HNpt9ns+ntv/7r9PF799LxDx5EPH7c75+AQdNe9/Ts2bXu6/Z7ppt1U33+jhBr7AEAAABwPF28GPHxx+nFynp9bV29sbG0iyOXs6Ye9NLvf59uFxfXOoV+/es0RO82MpKubdlspp/JxcU0dKjXIz788PDrZnBZN3X3fP6ODMEeAAAAAMfbhQsuVsJhaE+D+OxZuj1//uVQoW1kJH38++/T8efOre0P3T74IOKzz9bWTW135n3//fpxr72WBlbHdd1Un78jQ7AHAAAAAMDBe/Ei3S4vp9sTJ7Yf3368Pb69P3Rrr5t68+bauqmLi2kgtbychnhnzqTTb46MHN91U33+jgzBHgAAAAAAB29sLN2Orl6W/umn7ce3H2+Pb+8PG7XXTf3yy3Q9uHPn0q+NLl9OO/WOW6gX4fN3hAj2AAAAAAA4eOfPp6HLmTNpR9WTJxGvv775dIArK2tT/505s7Y/bMW6qdvz+TsyBHsAAAAAABy8XC7i1q10SsRvv01Dl3v30nXPusOFlZW1ddJeey0d394fdmLd1M35/B0Zgj0AAAAAAA7ehQsRly5FPHyYhgl37kQ8fRrRbKbdQCdOpNP/tTutkmQtdLh8+Xh3W8F++fwdGZv0WAIAAAAAwAH44IN0za7TpyOuXUs7gl68iPj++4ivvkq37U6ha9fScaOj6bpowP74/B0JOvYAAAAAADgcFy9GXL8ecfNmGhq891663tezZxHLy2mIcOZMOv3fyEh6+/r1dD9gf3z+jgTBHgAAAAAAh+fNNyM++ijiyy8jHjyIOHcu/dro8uW0U0ioAL3j8zf0BHsAAAAAAByuixcjPv444vHjiHp9bV2vsbF0va9czppecFB8/oaaNfaAnmk2m5EkSeerWCz2uyQOQbFY7LzmpVKp3+UcmKmpqc7PWalU+l3OkbXx9wgMA78fAABgHy5ciPjwwzRk+Id/SLcffihUgMPg8zeUBHsAAD3QHUiOj4/3u5xdGcaah5nzDQAAAOyXYA8AAAAAAACGgGAPAAAAAAAAhsBovwsAADgKCoVCPH/+PCIistlsn6vZnWGseZg53wAAAMB+CfYA+qhYLMbs7GxERMzPz0c+n+9zRQwq75XBNzMz07fnftX3Rz9rPo6cbwAAAGC/TMUJAAAAAAAAQ0CwBwAAAAAAAENAsAcAAAAAAABDQLAHAAAAAAAAQ2C03wUA7FWz2YxarRaNRiMiInK5XOTz+T0f4/bt29FoNKLZbEYmk4lsNrvn42xWT/tY77zzTmQymT0f7zD18jxsdfz9vFa9PLft47R/znfeeSdyudyejnEU9OLzs19zc3PRaDQ6r0M2m933Z2UQfq5XcdCfwYO038/U3Nxc3Lp1KyIiisViZLPZzmONRiPq9XrnfZLP59c9vpNh/r0ccbDnpm1YPzMAAABw3An2ODTLyxEPH/a7iqPv0qWI0SP6yW40GlEsFqNWq236+PT0dJTL5W2PUavVolwub3mMTCYT5XI5CoXCjvXMzc1FqVTqXBTdTC6Xi9/+9rcxPT0dERH1ej3Gx8c3HTsxMbHp/UtLSz2/EN3L87CZuf+fvbvpjeu68wT8O4rEAPEkQ+ul9QLLbdMYR0YENEC5gfHa1MLJllL2DkwB8wEkeNXLgPoAA1AGvI+ozWzsBZn1DGCTQQNyx3ZHNNpyS4oom0QQbyQ17ywuiywWS2SRLLKqpOcBiFu36txTpy7rFqT68X/OrVv5/e9/n/n5+bZ9T09Pb/kF8m7ObTvLy8u5du1abty40fbxvb7Odi5dupRbt24lSSYmJjI1NfXMtq3vh6qqnvlYs928V7px/ezV9evXc+3atbaPjY+P58MPP9xxQLGb17XVed/OhQsX1t7XMzMzG97Hzb/7ycnJLd+be70Gu/X+2MmYk+5eU3/4wx/Wnvuf//mfMzIyktnZ2Vy5cqXttT86Oprp6ekt3yPd+uzYL52e7/04Nw398FkAAAAA7EFVVX6e058kv0pSNX5u375d7cWTJ0+qf/u3f9vw8+TJk46P/+abqkr87PfPN9/s6de8J0tLS1Xze25iYqJrfU9PT2/o+1k/o6Oj1dLSUts+xsbGOuqjk7FfvXq1476SrI1pbm5uR8c1H9st3TwPVVVVExMTa+3Hx8c77n96erqr57bVzMxMNTw8vOf3TcP4+Pha+8nJyY7abXf+Wt8PWz22l3PRjetnr5rPy3bvuWedk26+rpGRkbXHp6amOnoNzb+T4eHhLV/jVu+RblyD3Xp/dDrmqtrfa2p6enrT777dz8jIyDP769Znx27s5vOh03bdODcNvfws2Ou/IwEAAKCXbt++3fr/519VPcp+rLEH9L1bt27l0qVLa/sTExOZm5tLVVVZWlraUDUzPz+/oW07Y2NjmZqaytzcXJaWltb6aa5QuHHjxjMrUhYWFnL9+vW1/cnJybV+Gn3Nzc1lcnJybYrBRpXMyMhIpqam1n6aqyuuXr264bHGz35NG7fX89DOrVu3Mjs7m7GxsczMzGRpaWnT76jh0qVLmypP9nJum83OzubixYtZXl5OUp/36enp3LlzJ1VVrfXR0Kh+arTvB916r3T7+tmNa9eurVUfNb+GxntvaWlp7TV2+n7b6+tqrhzcqqqyWXO7blR57uUaPOjPkv2+phpVgKOjo5s+O5qn91xYWGh7Prr12dGP9npuGvrhswAAAADogl4lin72/ycq9l7In+etYq+1z7m5uWe2ba7WmJmZ2fT41NTUlsdXVVVNTk6u9dGuIqe1zdWrV7d9DXfu3HnmY82VO+3GvB+6dR4aWitJtqp+aq0WGRsbe+bz7vbcLi0tbagq2qqfpaWlDb+D1vE0O+iKvVa7ea908/rZrdbXuFUl0NLSUjU6OrrtOenG62rtY6vrtKG5/V6q37p9DVbV7j9LOhnzQVxTydYVZ80VlqOjo5se7+bn8m7sZ8XeXs9NVfXHZ4GKPQAAAAaZij2ADjVX1bRWJ7SanJxce7xdBc7ExMSWxyfZsN7R8vJy2zWI7ty5s3b7jTfe2LK/JDteM2y/des8tDM2NrZlJdP4+PiG383s7OyGqr1unNsPPvhgrUpoYmJiy7WihoeHMzMzs9bP7OzspsqyQdbN62e3fv/736/dHh4ezh//+MdnVko11mfbTjde1/DwcMbHx9f2t3vNze+LsbGxPVV77ec1uB8O6praqt8rV66s3W63xtygfy5vZy/nJumPzwIAAACgOwR7QF9rTCs2Ojq6aSrHdhpfcAbnG+MAACAASURBVO7lS/DmLzzn5+c3Pd78pfH09PSun6ffbXce2ukk7JiYmNjQrvlL/72e2+Xl5Q39dRISJRu/9G4OogZdL66fVq2/j+3eI0ePHt22z269rg8//HBTn8/S/L5oDlL2026uwW47yGuqOWht1Xwu2k3v+bx/Lu/l3CT98VkAAAAAdIdgD+hbzV8ozs/Pp5Sy7U/jy8i9rJXWHCx8//33mx5v/oJ1dnY2b7zxRq5fv96zL973y3bnYS8uX768dvuzzz5bu73Xc3vz5s212zupqmoez/z8fF+ttbdbvbp+njWGZON57kafe31do6Oja5VbW1XFLSwsrL0HWyv99tN+XoOdOqhrarsKxu0C3+f5c3mv56YfPgsAAACA7jnc6wHw4njlleSbb3o9iuffK6/0egTds9cvZJeXl3c0Xd7CwkKWl5fzww8/bNluZGQkU1NTa198LiwsrFWnDA8P5+23387FixczPj4+cNO9JZ2fh724cOHC2u3m3/Nez+3c3NyGvjo1PDyc4eHhtS+xP//8846qWvrZQV8/7TRPCzgyMrLn/pLuv64rV66svccmJyfb/t6bpyPcaqrZbjmIa7BTB3VN7fWz8nn+XN7rePvhswAAAADoHsEeB+bw4eS113o9CgZJc4XKxMRELl26tKPjt/oicnZ2NtPT05vWeOvUxMREjh49umHtqWS96md2djbXrl3L5OTkhrWy+s1ez8NuNVeYtIYXezm3za9hp19Ej4yMrH0BfpDnYr/s5/XTqebfX7eCgW6/romJibUAaHZ2tm2I0TxNZ7en4ezVNdipg7qmOpmCdTvPy+dyq72em374LAAAAAC6R7AH9K1jx45t2N9rBdXy8nKuXbu27VpanRofH8/4+Hhu3bqVmZmZfP7555sqI65du5aZmZnMzMx05Tm7odvnYTeaw7x2X1r34tw+b1POdfv66Rfdfl2NqTUb68jduHFjQ+jTCPsaz9WNaq9+uAYPQi+uqUH9XN5Pz+tnAQAAALyorLEH9K3mL9A///zzPfW1sLCQ119/fcMX6ePj45mens7c3Fzu3LmTqqpSVdWOv/QcHx/P1NRU5ubmUlVVZmZmNq331AgNem0/z8NO3LlzZ+32VkHJTs9tc187nX6uddrIQdfN66cbY+hWNdp+vK7mKrzmaTdb97tRrdcv12CnBvWaGqTP5f3WD58FAAAAQPcI9oC+1fyl9vz8/J6CgUuXLq1Vj0xMTKSqqkxPT2d8fDyjo6Nd/dJ5bGws09PTG6p+WsOCXjnI87CV2dnZtdujo6MdH7fdub148WLb59jJeJLk7bff7vjYftXN62e3mn+3y8vLXRnDfryu5kq8hYWFtQBreXl5LfxpVPbtVb9cg516Xq6pfv5c3m/98FkAAAAAdI9gD+hbw8PDG4KB3VbLLC8vr31RPzw8fGBf5n744Ydrt/uhSqJX56HV/Pz8hsqf3/72tzvu41nntjV4uX79ekf9NdZYS+ovwQ9qTamdBCU71a3rZy9GRkY2nMtO3nPbhQ779braVe3dvHlz7b6JiYk9P0e/XIM7MWjX1Hb67XP5IPTDZwEAAADQPYI9oK9NTk6u3Z6dne1oTarG+lXPemw7233Zu7Cw0FE/260j167fg9KN89BO83pkz3reS5cure2Pjo5u+MK5G+e2+T1z7dq1bacPbG3TfPxuNI+neZzt/OEPf9jVc3T6Xun29bMbzUHK9evXO/p9bGc/XldzcNcI9Kanp9fu63YYsl/XYNL9z5JeX1Od2K/P5edFP3wWAAAAAN0h2AP62tjY2IYv3K9cufLML9iXl5dz/fr1vPzyyxu+tBweHt5QLdIcLLW6cuXKtl8OT01N5eWXX86VK1ee+QX3wsLChud51lpZzdPutVbvLC8vb/kcO9Xt89DO8vJy3n333bbH3rp1K6+//vqG0OGjjz7a0KYb5/bq1asbwsILFy60/XJ6eXk5Fy9e3FCB1HrsbjSf461+dzv93e7mvdKN62evrl69uuGcXLhwoW3/CwsLuXjxYkeh1H68ruapNhuVdY2KyuapOvdiP6/B/fws6fU11Ylufi4/j/rhswAAAADojsO9HgDw/Lp58+aOK0cuXry4YQ2kpP7C9ocfflhb6+rGjRu5cePG2vRujbW7mp+r9QvxDz/8cO2L6Fu3buXll1/O5cuX175kb/4SfzuNL40b4xgeHs7IyEhGRkZy9OjRfP7555u+WH5WxcrFixfXvjidn5/PG2+8kZGRkQ2vp3Uatb3o5nl4lvn5+bz88ssZHx9fey3t1nWampra9Lq6dW7/+Mc/5t13311re/369Vy/fj2jo6M5evTopvdLUldsdaOyqDnYWFhYyIULF3LlypWMjIxkeXk5n332WW7cuJHl5eW189Npv7t5r3Tj+tmr6enpDWu1XblyJZOTkxt+H4333ejoaEcB1H68ritXrqz198EHH2y4v1v26xrc78+SXl5Tnejm5/Lzqh8+CwAAAIAuqKqqb36SDCeZTDKd5E6SpSQzSaaSjO2h3/HVfhp93lntc7Sf+tyH8/mrJFXj5/bt29VePHnypPq3f/u3DT9PnjzZU588X5aWlqrm99xufsbGxp7Z/+TkZEd9jI+PV3fu3Nl0/OjoaEfPPzY2trZ/9erVTf3MzMx01FeSanh4uJqZmdnyvI2MjGx5/NTU1M5/GVvo1nlomJiY2HDuZ2ZmquHh4S37f9Zr6va5bR7bXs/x+Pj42jGTk5N7PsdXr17ddM1sZy/vlb1eP3s1MzOz7XNPTU1Vc3NzOzon3X5dred4eHi449fY6Xuk29fgs8beyftjJ+/rqtq/a2piYmLLttu9L7r92bFTnZ7H3bTb67lp1avPAv+OBAAAYJDdvn279f/Ov6p6lP30zVScpZTJJN+kDvf+kORikndTh2eXk8yUUu6UUjq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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12f7dd780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x[~mask], y[~mask], 'ok', markersize=3., alpha=.5)\n",
    "plt.plot(x[mask], y[mask], 'o', markersize=3., color='red', alpha=.5, label='Outliers')\n",
    "plt.plot(x, 10 * x + 10, 'k', label=\"True line\")\n",
    "plt.plot(x, m * x + b, 'g', label=\"Least squares line\")\n",
    "plt.plot(x, m_l1 * x + b_l1, 'blue', label=\"Least absolute deviations line\")\n",
    "plt.fill_between(x, (m_l1 - 1.96 * unc[0]) * x + b_l1 - 1.96 * unc[1],\n",
    "                    (m_l1 + 1.96 * unc[0]) * x + b_l1 + 1.96 * unc[1], alpha=.5)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The shaded region is the $95\\%$ confidence interval."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}