{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# One Dimensional Kalman Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division, print_function\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
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       "        }\n",
       "        .output_scroll {\n",
       "            box-shadow:none !important;\n",
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      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we understand the discrete Bayes filter and Gaussians we are prepared to implement a Kalman filter. We will do this exactly as we did the discrete Bayes filter - rather than starting with equations we will develop the code step by step based on reasoning about the problem. \n",
    "\n",
    "\"One dimensional\" means that the filter only tracks one state variable, such as position on the x-axis. In subsequent chapters we will learn a more general multidimensional form of the filter that can track many state variables simultaneously, such as position, velocity, and acceleration. Recall that we used velocity in the g-h filter to get better estimates than by tracking position alone. The same is true for the Kalman filter.\n",
    "\n",
    "So why not just jump into the multidimensional form of the filter? To be honest, the math is difficult, and my intuitive approach to developing the filter starts to break down. This math obscures the rather simple principles that allow the Kalman filter to work.\n",
    "\n",
    "So, in this chapter we learn how to use Gaussians to implement a Bayesian filter. That's all the Kalman filter is - a Bayesian filter that uses Gaussians. In the next chapter we will switch to a multidimensional form and the full power of the Kalman filter will be unleashed!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem Description\n",
    "\n",
    "As in the **Discrete Bayes Filter** chapter we will be tracking a moving object in a long hallway at work. Assume that in our latest hackathon someone created an RFID tracker that provides a reasonably accurate position of the dog. The sensor returns the distance of the dog from the left end of the hallway in meters. So, 23.4 would mean the dog is 23.4 meters from the left end of the hallway.\n",
    "\n",
    "The sensor is not perfect. A reading of 23.4 could correspond to the dog being at 23.7, or 23.0. However, it is very unlikely to correspond to a position of 47.6. Testing during the hackathon confirmed this result - the sensor is 'reasonably' accurate, and while it had errors, the errors are small. Furthermore, the errors seemed to be evenly distributed on both sides of the true position; a position of 23 m would equally likely be measured as 22.9 or 23.1. Perhaps we can model this with a Gaussian.\n",
    "\n",
    "We predict that the dog is moving. This prediction is not perfect. Sometimes our prediction will overshoot, sometimes it will undershoot. We are more likely to undershoot or overshoot by a little than a lot. Perhaps we can also model this with a Gaussian."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Beliefs as Gaussians\n",
    "\n",
    "We can express our belief in the dog's position with a Gaussian. Say we believe that our dog is at 10 meters, and the variance in that belief is 1 m$^2$, or $\\mathcal{N}(10,\\, 1)$. A plot of the pdf follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import filterpy.stats as stats\n",
    "stats.plot_gaussian_pdf(mean=10., variance=1., \n",
    "                        xlim=(4, 16), ylim=(0, .5));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This plot depicts our uncertainty about the dog's position. It represents a fairly inexact belief. While we believe that it is most likely that the dog is at 10 m, any position from 9 m to 11 m or so are quite likely as well. Assume the dog is standing still, and we query the sensor again. This time it returns 10.2 m. Can we use this additional information to improve our estimate?\n",
    "\n",
    "Intuition suggests we can. Consider: if we read the sensor 500 times and each time it returned a value between 8 and 12, all centered around 10, we should be very confident that the dog is near 10. Of course, a different interpretation is possible. Perhaps our dog was randomly wandering back and forth in a way that exactly emulated random draws from a normal distribution. But that seems extremely unlikely - I've never seen a dog do that. Let's look at 500 draws from $\\mathcal N(10, 1)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean of readings is 10.021\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "xs = range(500)\n",
    "ys = randn(500)*1. + 10.\n",
    "plt.plot(xs, ys)\n",
    "print('Mean of readings is {:.3f}'.format(np.mean(ys)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Eyeballing this confirms our intuition - no dog moves like this. However, noisy sensor data certainly looks this way.  The computed mean of the readings is almost exactly 10. Assuming the dog is standing still, we say the dog is at position 10 with a variance of 1."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tracking with Gaussian Probabilities\n",
    "\n",
    "The discrete Bayes filter used a histogram of probabilities to track the dog. Each bin in the histogram represents a position, and the value is the probability of the dog being in that position.\n",
    "\n",
    "Tracking was performed with a cycle of predictions and updates. We used the equations \n",
    "\n",
    "$$\\begin{aligned} \n",
    "\\bar {\\mathbf x} &= \\mathbf x \\ast f_{\\mathbf x}(\\bullet)\\, \\, &\\text{Predict} \\\\\n",
    "\\mathbf x &= \\mathcal L \\cdot \\bar{\\mathbf x}\\, \\, &\\text{Update}\n",
    "\\end{aligned}$$\n",
    "\n",
    "to compute the new probability distributions. Recall that $\\bar{\\mathbf x}$ is the *prior*, $\\mathcal L$ is the *likelihood* of a measurement given the prior $\\bar{\\mathbf x}$, $f_{\\mathbf x}(\\bullet)$ is the *process model*, and $\\ast$ denotes *convolution*. $\\mathbf x$ is bold to denote that it is a histogram of numbers, or a vector.\n",
    "\n",
    "This method works, but led to histograms that implied the dog could be in multiple places at once. Also, the computations are very slow for large problems.\n",
    "\n",
    "Can we replace $\\mathbf x$, the histogram, with a Gaussian $\\mathcal N(x, \\sigma^2)$? Absolutely! We've learned how to express belief as a Gaussian. A Gaussian, which is a single number pair $\\mathcal N(\\mu, \\sigma^2),$ can replace an entire histogram of probabilities:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wYYZfucvKysjPzwcgNTXV+8NJaWkptbW13v9PSEhg6NChhnYLCgooKSkBYPDgwYaZfyorK9mxYwcA3bp1Iy0tzbDu1q1bOXHiBLGxsT7DfQ8cOMDBgwcB6N+/f6vbRgTFesB8Qr8jMAVo6/t0Ca6GthGdOnXiueee47rrrqO4uNgbz8rK4rTTTmPy5MkRsY3wyMnJweFwtLpthGf75tmvQmQfR5iLeB1HuIXyOMKzX42Li+P48eMRfxzhcbLbCM++vKkCKphKSkp8/ojB3eE9y5vKbrczffp0EhMTueeeewzLfvKTn3DdddeRkZHB8ePHWb16NQsWLOCLL77gk08+adJQO7vd7vNrm8vl8m7E7HbzFc3umGe5mdPp9C7zd6f1prZrzqluuw6Hw2+7LpeLuLg4n2UOh6NZ7db3Xuu2a36vdT9Df+163qvN5jtsqKnthst309h7ra2txW63++2PDX03TWm3trbW77KG2vWs21i7/jT1M/S3ft2czBp7r542/Q3lbYnP0N9n1NR2w6UfNva33Gy7gI9NsXjcxVKS79Ml+Brr3927d+epp57itttuo7q62hu/77776Nevn7fAioRtRE1NDU6nU9sIHUcE1G64fDc6jvBtN5y2EYEIeNIHfx24KcvqcrlcTJ8+nc8//5wVK1b4/Lrw2GOPGf49btw40tPTue+++3j33XeZMGFCo68RGxvrk4/NZvNuMMxnyTwxfxsUgDZt2niX+evYTW3XnFPddv192XFxcbhcLr/txsTENKtdz38HDhyIy+XytlG3XfN7rfsZ+mvX81799YWmthsu301j79XzPv3l1dB305R2HQ6H32UNtetZt6F2m/sZNvZezep7rxkZGbhcLvLy8nA6nUH5DJ1OZ8B/N+HYDxv7W26WMmA57iF5dU0Cevo+XUKjKf171KhRPPHEE9x9993euN1u57bbbmPp0qV069atVW8jPOLj43E4HK1uG+FyucjIyDCsH8nHEQ21q+OI0BxHeParNpuN/Pz8iD+O8GjONiIQAU36MHr0aBwOBxs2bDDEc3NzyczMZOHChcyYMaPBNlwuF7fccgtLliwhKyuLG2+8sUmvffDgQXr27Mn999/PE088YVimSR9EJFq02KQPdmAxsN8Uvxg4v2VeQpquKZM++PPQQw/5/Mj405/+lI8//rjeAxARkWgX1EkfRowYwZYtW3xOSXrGJZrHSZp5iqXFixezaNGiJhdLdakIEhFpAR/gWywNAX5iQS5y0ubNm8fll19uiH3++ef85je/sSgjEZHIE1D1MWHCBCoqKlixYoUhnpWVRVpaGuecc06967pcLm699VYWL17MwoULmTZtWkCJZmVlAXDuuecGtJ6IiJhkA1+bYinABE7iduZipZiYGJYtW+Yz+cDTTz/N22+/bVFWIiKRJaBrmMaOHctll13GzJkzKS8vZ9CgQbzxxhusWbOG119/3Tu2cPr06WRlZbFz50769esHwF133cVrr73GL37xC0aMGMGXX37pbbdt27acdtppgPuXsccff5wJEyYwYMAAqqurWb16Na+88goXX3wxV199dUu9d/lBeXm5d9xr3dmARIJFfc5CB4D3TLFY4DqgaZOQSpjp0qULK1as4LzzzqOmpsYb9+xvhw0bZmF20UnbOAk19bngCnjSh3feeYe5c+fy8MMPc+TIETIyMnjjjTe4/vrrvc9xOBw4HA7DDBTvvefeQ//lL3/hL3/5i6HNfv36GaYMjImJ4fe//z3FxcXYbDYGDx7M7373O+69914NyQuC3bt3e6eiNE+VLBIM6nMWOQ68hfv6pbquRpM8tHJnnnkmzz//vOE64srKSiZOnMiGDRvo2LGjhdlFH23jJNTU54IroEkfwpUmfWie7Oxs/ZFJSKnPnbyTnvTBCbwJbDfFzwLGNy8nab6TnfTB0MYP1wmbf5S89tprefvttwOeFUpOnrZxEmrqc4EJtHYI+AyTRJ4ePXrUO/2kSDCoz1ngC3yLpV7AFRbkIkFhs9l4/vnn+e677/juu++88eXLl/P0009z7733WphddNE2TkJNfS64dIZJRKQVOakzTHuAJRjvt9QeuA1I9reChFpLnGHy2L17N2eccQalpaXeWExMDOvXr29wciYRkWgR1GnFRUSklTkOvIOxWLIB16JiKUL179+fpUuXGobgORwObrjhBp8DBBERaZwKJhGRSOUC/gmUmeIXAQNCn46EztixY3nwwQcNsV27dnHnnXdalJGISOulgklEJFJlA7mmWDq6OW2UePjhhxkzZowhlpWVxVtvvWVRRiIirZMmfRByc3O9M6sMHz7c6nQkCqjPhUAJsMoUS0A3p40isbGxvP7665x66qmUl5d747fddhvnnnuu9z6J0vK0jZNQU58LLu02Bbvd7n2IhIL6XJA5cF+3VGOK/xe6binK9O/fnxdffNEQKysr48Ybb8ThcFiUVeTTNk5CTX0uuFQwCW3btvU+REJBfS7I/gXsN8VOA04JfSpivSlTpjBlyhRD7IsvvuAPf/iDRRlFPm3jJNTU54JL04qLiLQijU4rno97CvG6OuOeQlz70bDVktOK+1NWVsapp55Kfn6+NxYTE8Pnn3/O6NGjg/raIiLhRtOKi4hEK88U4nW1AX6GiqUol5yczNKlSw03tXQ4HEyZMsVwfZOIiPhSwSQiEglcwHuA+dj3YqBX6NOR8DNmzBgeeughQ2z37t3MmjXLooxERFoHFUwiIpHge2CzKdYfGOPnuRK15s6dy3nnnWeI/e1vf2PZsmUWZSQiEv5UMAmFhYXs27ePwsJCq1ORKKE+18JKgdWmWDs0hbj48Ew1npSUZIjfcccd7N9vnilETpa2cRJq6nPBpV2pcPjwYQ4ePMjhw4etTkWihPpcC3IC/w//U4gn+T5dJD09nZdfftkQKysrY8aMGUTAPFBhQds4CTX1ueBSwSQi0pr9H7DbFDsNGGZBLtJqTJ48mRtuuMEQW7VqFUuWLLEmIRGRMKZpxYXKykpcLhc2m40OHTpYnY5EAfW5k2eYVrwUeBGorfOEJOAOICGkaUkzBXtacX+OHDnC8OHDOXDggDeWlJREbm4uvXv3Dnk+kUTbOAk19bnAaFpxCViHDh1ITEzUH5iEjPpcC3AC72IslsA9FE/FkjRB586deeWVVwyx8vJybrnlFg3NayZt4yTU1OeCSwWTiEhr9A3um9TWdQYwKPSpSOt19dVXc9NNNxliH3zwAX/5y18sykhEJPyoYBIRaW2OAGtNsWTgMgtykVbv2WefJS0tzRC755572Lt3r0UZiYiEFxVMQlVVFZWVlVRVVVmdikQJ9blm0FA8aWEpKSk+Q/OOHTumoXnNoG2chJr6XHCpYBLy8vLYsmULeXl5VqciUUJ9rhk2AHtMsTOBgRbkIhFj/PjxTJ061RBbu3Ytr776qjUJtXLaxkmoqc8FlwomEZFWYseOHfCRKdgJDcWTFvHMM8/Qq1cvQ+zee+9lzx5zhS4iEl1UMAldunShW7dudOnSxepUJEqozwXO6XQybdo0sJsW/DfQ1oqMJNJ06tSJRYsWGWIVFRVMnz5dQ/MCpG2chJr6XHDpPkwiIq3As88+yz333GMMngWMtyQdaWFW3IepPrfccguvvfaaIfbSSy9x++23W5SRiEjLCrR2UMEkIhLmdu/eTWZmpvFi3hTgdnR2KUKEU8FUVlbGiBEj2LdvnzfWsWNHNm/erBvaikhE0I1rRUQiiMvlYubMmb4zH2kongRJcnKyzxmmY8eOMWvWLA3NE5GopDNMIiJhbOnSpdx4443G4JnAVZakI9HkH8D3xtDy5cv52c9+Zkk6IiItRUPyfqCCqem2bdtGbW0tcXFxDB061Op0JAqozzVNcXExw4YNo7i4+MdgR+CX6J5LEnxVwAtA5Y+hnj17smXLFjp16mRVVq2CtnESaupzgdGQPAlYdXW19yESCupzTXPvvfcaiyWAcahYktBoD1xpDB04cIBf//rXlqTTmmgbJ6GmPhdcsVYnINaLiYnB4XAQExNjdSoSJcK9z9ketVmdAuwAXjfFhv3wEAmVTBh3fByrVq3yhl555RVuuOEGLrjgAgsTC2/hvo2TyKM+F1wakiciYmJ5wVQDvAgcrRNri3soXpIlGUkU2zNtD6eccgqVlT+OzRsyZAjZ2dkkJOh0p4i0PhqSJyLS2v0LY7EEcBkqlsQSffv25fHHHzfEtm/f7hMTEYlUKphERMJJIfAfU6wvcLoFuYj8YNasWZx99tmG2Pz588nJybEoIxGR0FHBJCISLhzA/wPqDpSOAa5GW2uxVExMDK+++iqxsT9e+my327n11ltxOBwWZiYiEnzaBQuHDh2iqKiIQ4cOWZ2KRAn1uXp8CRwwxc4HulmQi4jJyJEjuf/++w2xL7/8kpdeesmijMKXtnESaupzwaWCSSgqKmL//v0UFRVZnYpECfU5P44An5hi3YDzLMhFpB4PPfQQgwcPNsQeeOAB9u3bZ1FG4UnbOAk19bngUsEkImI1F7AKsJvi/4Vu/iBhJSEhgVdeecUQq6io4M4777QoIxGR4NOuWEhPT8flcmGzhcG9ZyQqqM+ZbMZ936W6zgL6WJCLSCMuvPBCpk+fzmuvveaNvfvuu7z33ntcffXVFmYWPrSNk1BTnwsu3YdJRMQkpPdhqgZeAOpuwhKBWYBucSNhwPWI72FCaWkpQ4cO5fDhw95Yv379yM3NpUOHDqFMT0QkYLoPk4hIa/IvjMUSwFhULElYS0lJ4amnnjLE9uzZw2OPPWZRRiIiwaOCSUTEKkXAV6bYQOAUC3IRCdCNN97IhRdeaIg9+eST5ObmWpOQiEiQBFwwVVRUMHv2bNLS0khISODUU0/lzTffbHS9d955h8mTJzNo0CDatWtHeno6U6ZMIS8vz+/zP/roI0aPHk379u3p2rUrU6dO1VSJQVJTU+N9iISC+hzgBP6J7z2XxgEagi6tgM1m48UXXyQuLs4bs9vt3HHHHUTAaP9m0TZOQk19LrgCLpgmTpxIVlYWjzzyCKtXr+ass85i8uTJLFu2rMH1nnjiCaqqqpg7dy5r1qzhscce47vvvuP000/3+TXq008/ZezYsfTo0YN3332XP//5z3z00UdccsklnDhxItCUpRFbtmxh48aNbNmyxepUJEqozwHfAvtNsfOBLhbkInKShg0bxpw5cwyxzz77jL/+9a8WZRQetI2TUFOfC66AJn1YtWoV48ePZ9myZUyePNkbv/zyy8nNzWXv3r3ExMT4XffQoUN0797dECssLCQ9PZ2bbrqJRYsWeeNnn302lZWVZGdne+8q/u9//5vzzjuPF198kZkzZxra0aQPzZOdnU1tbS1xcXGMGjXK6nQkCoR7nwv6pA8VwPO4J3zw6ALMRHOXStjxN+lDXVVVVQwfPpz8/HxvrGvXrmzbto3OnTsHObvwFO7bOIk86nOBCeqkDytXriQxMZFJkyYZ4tOmTaOwsJCvvjIPxv+RuVgCSEtLo3fv3oYb3u3fv5+vv/6an//8595iCWDMmDEMGTKElStXBpKyNEFycjIpKSkkJydbnYpEiajvcx9iLJYAxqNiSVql9u3b8/zzzxtixcXFPPDAAxZlZL2o38ZJyKnPBVdAu+ecnByGDRtmKGQARo4c6V0+ZsyYJre3a9cu9uzZwzXXXGN4jbptml9n/fr1TWo7NzeXfv36kZSU5I2dOHGCrVu3Au4Zfvr27WtYJy8vj6qqKgCf6ry4uJj9+93jZ/r27UtKSop3mcPh8ObdsWNHBgwYYFh39+7dlJeXAzB8+HDD53f06FH27NkDuAvIbt26GdbduHEjLpeLdu3aMWTIEMOyffv2ceTIEQCGDh1KQsKP02pVVFSwc+dOwF2spqamGtbdvHmz95eIU04xXmFeVFTkvV5s4MCBJCYmepdVV1ezbds2ADp37kyfPsYbxWzfvp3jx49js9l8vsPDhw9TWFgIuKef7dSpk3eZ3W73Ds1MSkqif//+hnV37drl/SUgMzPTcCaztLSUvXv3AtCrVy+6du1qWDc7Oxtw79TNd6jfu3cvpaWlAGRkZNC2bVvvsvLycnbv3g1Ajx496FWG6cgAACAASURBVNmzp2Hd3Nxc7HY7bdu2JSMjw7CssLDQO93uoEGDDNPsVlVVea/d69KlC7179zasu23bNqqrq4mJiSEzM9Ow7NChQ967eKenpxs2jDU1Nd5T8cnJyaSnpxvW3blzJxUVFQCMGDHC8CtKSUkJBQUFAPTu3ZsuXX4cF+Z0Otm0aRMAiYmJDBw40NBufn4+ZWVlgHt4Tnx8vHdZWVmZ91fn1NRU7w8nntxycnLIzs4mISGBoUOHGtotKCigpKQEgMGDB9O+fXvvssrKSnbscN+4qFu3bqSlpRnW3bp1KydOnCA2Npbhw4cblh04cICDBw8C0L9//3q3EUGzG9hoimUCA/w8VyRMNLaN6N27NxdffDHr1q3zxl955RWmTp1KampqwNsIj5ycHBwOR1huI3QcoeMICJ/jiLr7/Gg4jvA42W2E5++0qQIqmEpKSnz+iAHvKXdPUk1ht9uZPn06iYmJ3HPPPYbXqNum+XWa+hp2u93nolOXy0Vtba13ub91PMvNnE6nd5nT6fRZ3tR2zTnVbdfhcPht1+VyGS6q9XA4HM1qt773Wrdd83ut+xn6a9fzXv3dOK2p7YbLd9PYe62trcVut/s9fdvQd9OUdmtra/0ua6hdz7qNtetPUz9Df+vXzcmssfdaU1OD0+n0O5S3JT5Df59RU9sNCjvwvinWFrgieC8p0hKaso245557+PLLLw0HIjNnzuStt96KyG1EuOyrdBzh2264fDc6jvBtN5yOIwIR8ACQhu4g3NS7C7tcLqZPn87nn3/OihUrfH5daKitpr5GbGysz3NtNpt3g2E+S+aJ+dugALRp08a7zF/Hbmq75pzqtuvvy46Li8PlcvltNyYmplnt1v1vfe2a32vdz9Bfu5736u97amq74fLdNPZePe+zsc/wZNp1OBx+lzXUrmfdhtpt7mfY2Hs1a+y9xsfH43A4gvIZOp3OgP9u6vs+W8y/gWJT7BKgY/BeUqQlNGUb0adPH+666y7mz5/vjWdnZ/P6669z7bXX+m23NW8jwmVfpeMI33bD5bvRcYRvu+F0HBGIgCZ9GD16NA6Hgw0bNhjiubm5ZGZmsnDhQmbMmNFgGy6Xi1tuuYUlS5aQlZXFjTfeaFj+wQcfcOWVV/L+++8zbtw4w7JJkyaxfv167+lYD036ICItKSiTPpQCL+A+y+SRBtyC7ognYa2xSR/qqq2t5YwzzvAOvwH3EJwtW7b4DD8WEbFKUCd9GDFiBFu2bPE5JenZMJrHSZp5iqXFixezaNEin2Kpbht1N7Z1X6ex15DA7dy5k61bt3rHKosEW1T2uTUYiyUbcBUqliSixMXF8fLLLxtiFRUV3HfffRZlZI2o3MaJpdTngiugXfWECROoqKhgxYoVhnhWVhZpaWmcc8459a7rcrm49dZbWbx4MQsXLmTatGl+n9erVy/OPvtsXn/9dcNYxS+//JJt27YxceLEQFKWJqioqPA+REIh6vrcdmCbKXYW7jNMIhFmzJgx3HLLLYbYW2+9xSeffGJRRqEXdds4sZz6XHAFVDCNHTuWyy67jJkzZ/Lqq6/yySefMGPGDNasWcOCBQu8YwunT59ObGysd9YWgLvuuovXXnuNadOmMWLECL788kvv47vvvjO8zhNPPMHWrVuZNGkSH330EcuWLeN//ud/yMzMrLfQEhEJS3bcZ5fq6gBcZEEuIiEyf/58n8mbZs2aFdxJVUREgiSga5jAXcHOnTuXt99+myNHjpCRkcEDDzzA9ddf733O1KlTycrKYvfu3d4pCdPT0w0FVF39+vUz3PAOYO3atTz88MN8//33tG/fnquuuoo//elPfu/npGuYmqfubCb6zCQUwr3Pteg1TJ8B60yx/wZOa7mXEAmmQK5hquvll1/2udH8k08+yb333tsSaYW1cN/GSeRRnwtMoLVDwAVTOFLBJCItqcUKpqPA8xivXeoN/AJduyStxskWTA6Hg7PPPptvv/3WG0tMTGT79u0+9/QREQmloE76ICIiAfgQY7EEMA5teSUqxMTE8MILLxhiFRUVzJkzx6KMREROjnbbIiLBsBPYbIqdiSZ6kKhy7rnn8otf/MIQW7p0KZ999plFGYmIBE4Fk1BSUsLhw4cpKSmxOhWJEhHf5+zAalOsHXCxBbmIWOyPf/wjnTp1MsRmzZrlc4uSSBLx2zgJO+pzwaWCSSgoKGDPnj0UFBRYnYpEiYjvc18BxabYpUB7C3IRsVj37t35/e9/b4ht2rSJF1980aKMgi/it3ESdtTngksFk4hISyoHPjXF0tCseBLVbr/9dkaNGmWIPfTQQxw8eNCijEREmi7W6gTEer1798bpdGpWQQmZiO5zHwI1ppgmepAoFxsbywsvvMBPfvITb6y8vJxf//rXLFmyxLrEgiSit3ESltTngkvTiouImJz0tOL5wBJT7DTc910SaaVOdlpxf2666Sb+9re/GWLr169nzJgxLfYaIiKN0bTiIiJWcACrTLEE3NcuiQgACxYsICkpyRD75S9/icPhsCgjEZHGqWASEWkJXwOHTLGLgQ4W5CISpnr27Mmjjz5qiH3//fcsXLjQooxERBqngklwOp3eh0goRFyfOwZ8Yor1xH3fJRExmDVrFpmZmYbY3LlzOXz4sEUZtbyI28ZJ2FOfCy4VTMKmTZv49ttv2bRpk9WpSJSIuD73EXDCFNNEDyJ+xcbG8vzzzxtiR48e5YEHHrAoo5YXcds4CXvqc8Gl3bmISHPsBbJNsVFAXwtyEWklLrjgAiZPnmyIvfbaa2zYsMGijERE6qeCSUhMTPQ+REIhYvqcE9+JHtqiiR5EmuDJJ5/02QZEygQQEbONk1ZDfS64NK24iIhJk6cV34BvwXQFMLqFExKxUEtOK272pz/9ifvvv98QW7hwITNmzAjaa4qIaFpxEZFQqATWmWLdgLMtyEWklbr77rvJyMgwxB544AFKSkosykhExJcKJhGRk/ExUG2KjQNiLMhFpJWKj4/3mQDiyJEjPPjggxZlJCLiSwWTiEigCoBvTbFMoL8FuYi0cpdccgmTJk0yxBYuXMj//d//WZSRiIiRCiYhPz+fnTt3kp+fb3UqEiVadZ/zN9FDHHC5BbmIRIinnnqK9u3be//tcrn45S9/2WrvKdOqt3HSKqnPBZcKJqGsrIzS0lLKysqsTkWiRKvuc98BhabYBUCSBbmIRIg+ffr4DMP76quvWLJkiTUJNVOr3sZJq6Q+F1wqmEREmqoK901q6+oCnGtBLiIR5le/+hWDBw82xH7zm99QWlpqUUYiIm6aVlyoqanx/n98fLyFmUi0CPc+V++04u8DX5tiPwcGBjkhEQsFc1pxsw8++IArr7zSEJs1axbPPfdcyHJoCeG+jZPIoz4XGE0rLgGLj4/3PkRCoVX2uSLgG1NsGCqWRFrQFVdcwTXXXGOIvfjii2RnZ1uU0clplds4adXU54JLBZOISGOcuM8u1f2hPRb3TWpFpEU988wzJCQkeP/tdDqZNWsWETAgRkRaqVirExCR6FTvsLdwtBH3VOJ1nQ90siAXkQiXnp7Ob3/7Wx5++GFv7IsvvmDp0qXceOONFmYmItFKZ5iEsrIyjh49qplVJGRaVV+rBtaaYinAaAtyEYkSc+bMYcCAAT6x8vJyizIKjParEmrqc8GlgknIz89nx44dmrtfQqZV9bVPgEpTbCzuey+JSFAkJCTw7LPPGmIHDhzgd7/7nUUZBUb7VQk19bngUsEkIlKfg8AGU2zIDw8RCaqrr76a8ePHG2J//vOf2bx5s0UZiUi00jVMQmpqKg6Hg5iYGKtTkSiRmppqdQqNcwGrME70EANc6f/pItLynn32WdauXeudMtlut3PnnXfy0UcfYbOF73WQ2q9KqKnPBZfOMAndu3cnNTWV7t27W52KRIlW0ddygD2m2E+AzhbkIhKlBg0axJw5cwyxdevWsXz5cosyahrtVyXU1OeCSwWTiIjZCeBDU6wT7oJJRELqt7/9LX379jXEfvWrX1FZab64UEQkOFQwiYiYfQocM8WuQBM9iFigffv2PP3004ZYQUEBjz/+uEUZiUi0UcEkIlLXYeBLU2wQkGFBLiICwMSJE7n00ksNsSeffJLt27dblJGIRBMVTEJOTg7ffvstOTk5VqciUSJs+5oLWA0468Ta4J7oIXyvLxeJeDabjf/93/8lNvbHuapqa2u5++67cblcDaxpDe1XJdTU54JLBZPgcDhwOp04HA6rU5EoEbZ9bTOwyxQbA3S1IBcRMRg2bBj33HOPIbZmzRree+89izKqn/arEmrqc8GlgklISEjwPkRCISz7Wg3wgSmWBJxvQS4i4tdDDz3kc1uCu+++m+PHj1uUkX/ar0qoqc8Fl80VjueyA+R0Ojl2zHiFdseOHWnTRvWgSLiyPRpmY9w+Bj43xSYBwy3IRSSMuB4Jr8OEZcuWMWXKFENs3rx5PPLIIxZlJCKtTaC1gyoKEZES4N+mWH/gFAtyEZEGTZ48mfPPN576nT9/Prt377YoIxGJdCqYRCS6eSZ6qDvsuw0wFk30IBKGbDYbzz33HDExMd5YdXU1v/rVryzMSkQiWWzjTxERiWDbgB2m2DmAbpYuAoTh8FmPM4GvfvznP/7xD9asWcOVV15pWUoiEplUMAkFBQU4HA5iYmLo3bu31elIFCgoKLA6BbdaYI0plghcYEEuIhKYC6Hbrm4cPnzYG7rrrrvYtGkTbdu2tS4vtF+V0FOfCy4NyRNKSko4fPgwJSUlVqciUSJs+tp64KgpdjmgSYZEwl87eOKJJwyhvLw8nnnmGYsS+pH2qxJq6nPBpYJJRKJTKfCFKdYXGGFBLiJyUm6++WbOPfdcQ+z3v/89+/btsygjEYlEARdMFRUVzJ49m7S0NBISEjj11FN58803G12voKCA2bNnc8EFF9CpUydsNhtLlizx+9wLL7wQm83m89C45OAYPHgww4YNY/DgwVanIlEiLPraGsBe5982YBya6EGkFWnTpg3PP/88NtuPf7hVVVXcd999Fmal/aqEnvpccAV8DdPEiRP5+uuvmT9/PkOGDGHZsmVMnjwZp9PJDTfcUO96O3bsYOnSpZx66qmMGzeON954o8HXGTBgAEuXLjXEOnXqFGi60gTt27e3OgWJMpb3uTzckz3UdTbQ04JcRKRZzjjjDGbMmMHChQu9sbfffpvbbruNiy++2JKcLN/GSdRRnwuugG5cu2rVKsaPH+8tkjwuv/xycnNz2bt3r2Gaz7qcTqf3ZlDffPMNZ511FosXL2bq1Kk+z73wwgspLi4mJyenSXnpxrUirY9lM2/ZgReBI3ViHYBZQDtLMhKRk+S5qW5JSQlDhgzhyJEf/7BPOeUUvv/+e+Li4qxKT0TCVFBvXLty5UoSExOZNGmSIT5t2jQKCwv56quv6lkTFS8iEh7+jbFYArgUFUsirViXLl34wx/+YIht3ryZ5557zqKMRCSSBDQkLycnh2HDhhEba1xt5MiR3uVjxoxpkcR27txJ586dKS8vp1+/flx//fU8+OCDtGvXtKOa3Nxc+vXrR1JSkjd24sQJtm7dCkBKSgp9+/Y1rJOXl0dVVRUAo0aNMiwrLi5m//79APTt25eUlBTvMofD4T0b1rFjRwYMGGBYd/fu3ZSXlwMwfPhww+d39OhR9uzZA0BaWhrdunUzrLtx40ZcLhft2rVjyJAhhmX79u3z/po2dOhQEhJ+nNqroqKCnTt3AtC9e3dSU1MN627evJna2lri4uLo168fLpcLm81Ghw4dKCoq4tChQwAMHDiQxMRE73rV1dVs2+Yey9S5c2f69OljaHf79u0cP34cm83m7Rcehw8fprCwEIB+/foZhlja7XZyc3MBSEpKon///oZ1d+3a5f0lIDMz03Ams7S0lL179wLQq1cvunbtalg3OzsbcJ+uNo/t3bt3L6WlpQBkZGQYpqItLy/33jm+R48e9OxpHK+Vm5uL3W6nbdu2ZGRkGJYVFhZ6p7odNGgQHTp08C6rqqoiLy8PcO/kzdN/btu2jerqamJiYsjMzDQsO3ToEEVFRQCkp6eTnJzsXVZTU8OWLVsASE5OJj093bDuzp07qaioAGDEiBGGHzFKSkq8U3337t2bLl26eJc5nU42bdoEQGJiIgMHDjS0m5+fT1lZGQDDhg0jPj7eu6ysrIz8/HwAUlNT6d7dfXOjyspKLHEU+MwU6w2M8vNcEQl7nu374MGDueWWW3jllVf49ttvvcsffvhhLrroIk477TTDelu3buXEiRPExsYyfPhww7IDBw5w8OBBAPr3739SxxEul4tBgwZ596sQ2ccRp5xyimGZjiPcQnkcUVlZ6T2WKygoiPjjCI+cnBwcDgcJCQkMHTrUsKygoMA7a+DgwYMNwxY9x/tNFVDBVFJS4vNHDO4O71neEn7yk59w3XXXkZGRwfHjx1m9ejULFizgiy++4JNPPmnS2Sq73Y55tKHL5aK2tta73N86nuVmTqfTu8zpdPosb2q75pzqtutwOPy263K5/A4pcDgczWrXs3zHjh3ejd6oUaMM7Zrfa93P0F+7nvda9wJcf/k21G64fDeNvdfa2lrsdrvf/tjQd9OUdmtra/0ua6hdz7qNtetPUz9Df+vXzcmsvve6Y4f5TrEh8iHGiR7APdGDToCLtEp1t4cxMTE8//zzhh9uKysr+f3vf88777zjs55n/2rW1O13Y/uUrVu3everENnHEQ21q+OI0BxH1D2Wi4mJifjjCI+amhqcTqffS4Ia+wwDEfCkD/46cFOWBeKxxx4z/HvcuHGkp6dz33338e677zJhwoRG24iNjfXJx2azeTcY5rNknlh9Y53btGnjXeavYze1XXNOddv192XHxcXhcrn8thsTE9Osdj3/NXfSuu2a32vdz9Bfu5736q8vNLXdcPluGnuvnvfpL6+GvpumtOu5+Vwg7XrWbajd5n6Gjb1Xs8bea0jtADabYmcCaRbkIiItwrw9HD16NNOmTWPx4sXe56xcuZJPP/2UCy64wLCe0+kMeN/a1H2Vv4O/SD6OaKhdHUfoOKJuuy19HBEfH4/D4TipzzAQAU36MHr0aBwOBxs2bDDEc3NzyczMZOHChcyYMaPRdhqb9MGfgwcP0rNnT+6//36fG9Vp0ofmKSws9P5hpaXp6FGCr7CwkF6v9grdC9YCL2G8dqkdcCegiYVEWi3PpA91HTp0iCFDhniH+EDoJ4DQflVCTX0uMEGd9GHEiBFs2bLF55SkZ1yieZxkMKgIanlpaWn06dNHf2ASMiHva+vxnejhMlQsiUSg7t278/jjjxtimzdv5tlnnw1ZDtqvSqipzwVXQNXHhAkTqKioYMWKFYZ4VlYWaWlpnHPOOS2anPk1AJ87eouINOgI8Lkp1hs41YJcRCQkbr/9dk4//XRDbN68eezbt8+ijESkNQvoGqaxY8dy2WWXMXPmTMrLyxk0aBBvvPEGa9as4fXXX/eOLZw+fTpZWVns3LmTfv36eddfvnw54J6pBNxD8zwzp1x77bUAfP755zz++ONMmDCBAQMGUF1dzerVq3nllVe4+OKLufrqq5v/rkUkOriA1UDd60RtwHg00YNIBIuJieGll17i3HPP9V7cXVVVxezZs31+9BURaUxA1zCBe5rJuXPn8vbbb3PkyBEyMjJ44IEHuP76673PmTp1KllZWezevdswJWFDF1h50tixYwd333032dnZFBcXY7PZGDx4MNdffz333nuvYbpGD13DJNL6hOTGtVuAt0yxc4CxwX9pEQk+f9cw1XX77bezcOFCQ2zVqlWMHauNgEg0C7R2CLhgCkcqmJpn69at3qkozfcBEAmGrVu3MuytYcF9kRrgeaC8TiwRmAUk+F1DRFqZxgqmI0eOMHToUIqLi72xAQMGkJOT0+T7Op4M7Vcl1NTnAhPUSR8kMp04ccL7EAmFkPS1TzEWSwBXoGJJJIp07tyZBQsWGGK7du3ymW23pWm/KqGmPhdcKpiE2NhY70MkFILe1w4B/zHF+gPBn8hTRMLMzTffbLiZLcD8+fODegNt7Vcl1NTngktD8kTEEkG7hskFZAH5dWJtgJlAt+C8pIhYo7EheR4bN27k9NNPx+H4cQaYK664gtWrVwd8A0sRaf00JE9EotsmjMUSwBhULIlEsZEjR3LnnXcaYh988AHvvPOORRmJSGuigklEIkc18IEplgycb0EuIhJWHn30UVJTUw2x2bNnU1FRYVFGItJaqGASkcixDqg0xcYC8RbkIiJhJSkpiaefftoQKygoYN68edYkJCKthgom4cCBA+zfv58DBw5YnYpEiaD0tQJggyk2BBja8i8lIq3TddddxyWXXGKIPfvss2RnZ7fo62i/KqGmPhdcKpiEgwcPUlRUxMGDB61ORaJEi/c1B/BPUywW99klXc8tIj+w2Wy88MILxMf/eNrZ4XBw2223GSaEaC7tVyXU1OeCSwWTiLR+XwHmH9UuAFIsyEVEwtrQoUN54IEHDLGvvvqKhQsXWpSRiIQ7TSsulJeX43K5sNlsJCUlWZ2ORIHy8nKSn0lumcaOAi8AtXVi3YHbgJiWeQkRCU9NnVbcrLq6mpEjR5KXl+eNJSUlsXXrVp+JIU6G9qsSaupzgdG04hKwpKQkkpOT9QcmIdNifc0FrMJYLAFchYolEalXQkICL7/8siFWXl7O7NmzW6R97Vcl1NTngksFk4i0XluB7abYGUBfC3IRkVbl4osv5qabbjLE3n77bVavXm1RRiISrlQwiUjrdAL32aW6OgCXWpCLiLRKTz75JJ07dzbE7rjjDqqqqizKSETCkQom4cSJE1RXV3PixAmrU5Eo0SJ9bR1wzBS7EmjX/KZFJDp069aNP/3pT4ZYfn4+v/vd75rVrvarEmrqc8GlgknYunUrOTk5bN261epUJEo0u6/tx/eeSwOBzOY1KyLRZ9q0aZx//vmG2FNPPcWmTZtOuk3tVyXU1OeCSwWTiLQunnsu1Z0cKxYYj+65JCIBs9lsvPzyy8TFxXljdrud2267DafTaWFmIhIuVDAJKSkpdO7cmZQU3bRGQqNZfe1roMgUOx/o7Oe5IiJNMGzYMH7zm98YYv/5z3949dVXT6o97Vcl1NTngkv3YRIRS9gePYnTQWW477lUUyfWDfc9l2JbJC0RaUVO9j5M/lRXVzNixAh27NjhjXXq1IktW7bQs2fPFnsdEbGe7sMkIpHJBbyPsVgC9z2XVCyJSDMlJCTw0ksvGWJHjx7lrrvusigjEQkXKphEpHXIwfeeS6cB/SzIRUQi0qWXXsqNN95oiP3973/nH//4h0UZiUg4UMEkIuGvEjDfS7IDcLkFuYhIRHv66afp0qWLIXbHHXdw9OhRizISEaupYBLy8vLYsmULeXl5VqciUSLgvvYBYL6P5Hh0zyURaXHdunXjz3/+syFWVFTE/fff3+Q2tF+VUFOfCy4VTEJVVRWVlZW6s7mETEB9LQ/YaIplAKe0YEIiInXccMMNjB071hB79dVX+eSTT5q0vvarEmrqc8GlgklEwtcJ4D1TrC0wzoJcRCRqeO7NlJiYaIjfeuutOiAViUKaVlxELNGkacVXARtMsauBM4KQkIi0Oi05rbg/zz//PHfeeachNmfOHBYsWBDU1xWR4NK04iISGfbiWyylA6eHPhURiU533HEHY8aMMcSeeuopvvnmG4syEhErqGASkfBTC/w/UywW99mlk7jfrYjIyWjTpg2LFi0iPj7eG3M6nUyfPp3a2loLMxORUFLBJCLh53Og2BS7COji57kiIkE0bNgwHnroIUNs48aNGpYnEkV0DZNQXFyM0+mkTZs2dO3a1ep0JAoUFxfT7YVu/hceAF4BnHViqcAtQEzQUxORViTY1zB51NTUcOaZZ7Jp0yZvLD4+nuzsbDIyMnyer/2qhJr6XGB0DZMEbP/+/ezdu5f9+/dbnYpEiXr7mgP3ULy6xVIb4L9RsSQilomPj+e1114zHEzV1NRwyy234HQ6fZ6v/aqEmvpccKlgEpHw8R+g0BQ7D+hpQS4iInWcddZZzJ492xBbv349zz33nEUZiUioaEieUFpa6j2Nm5KSYnU6EgVKS0vp/L+djcGDuIfiOerEugC3A3EhS01EWpFQDcnzqKysZOTIkezatcsba9euHd9//z1DhgzxxrRflVBTnwuMhuRJwFJSUujSpYv+wCRkfPqaA/gHxmIJ3EPxVCyJSJjo0KEDixYtMsSOHz/O1KlTcTh+3IBpvyqhpj4XXCqYRMR6XwBFptgYoK8FuYiINOCiiy5i1qxZhth//vMfnnnmGYsyEpFgU8EkItY6AHxqinXFPY24iEgYmj9/PgMHDjTEHnzwQTZv3mxRRiISTCqYBIfD4X2IhIK3r9mBlRhnxbMB16CheCIStjp06MDixYux2X68k/aJEyeYOnUqdrtd+1UJOfW54FLBJOTk5PDdd9+Rk5NjdSoSJbx97TPckz3UdR7QO8QJiYgE6Kc//anPrHlff/01CxYs0H5VQk59LrhUMImINQqBz02x7sCFoU9FRORkPP7444bZ8QDmzZtHXl6eRRmJSDCoYBI6duxIUlISHTt2tDoViRLx8fHuoXh1ZwRug3soXqw1OYmIBKpdu3ZkZWUZpiKura1l3rx5tGvXTvtVCRkdywWXDk2EAQMGWJ2CBIntUVvjT7LCR8BhU+ynQJoFuYiINMO5557LnDlzeOKJJ7yx3Nxcli9fziOPPGJhZhJNdCwXXDrDJCKhVQCsN8V64i6YRERaoXnz5nHKKacYYo899hjfffedRRmJSEtSwSQioVODhuKJSMRJSEggKyuLmJgYb8xut3PzzTdTXV1tYWYi0hICLpgqKiqYPXs2aWlpJCQkcOqpp/Lmm282ul5BQQGzZ8/muLKrpQAAIABJREFUggsuoFOnTthsNpYsWVLv8z/66CNGjx5N+/bt6dq1K1OnTuXQoUOBpisi4WQtUGKKXYj7DJOISCt25pln8sADDxhimzZtYu7cuRZlJCItJeCCaeLEiWRlZfHII4+wevVqzjrrLCZPnsyyZcsaXG/Hjh0sXbqU+Ph4xo0b1+BzP/30U8aOHUuPHj149913+fOf/8xHH33EJZdcwokTJwJNWRqxe/du8vLy2L17t9WpSCTbBnxtiqXhnkZcRCQCPPTQQ4waNcoQe/rpp1m7dq1FGUm00LFccAU0CGbVqlWsXbuWZcuWMXnyZAAuuugi9uzZw5w5c7juuusMp6PrOv/88zl82H2V9zfffMMbb7xR7+vMmTOHIUOGsHz5cmJj3Sn279+f8847j7/85S/MnDkzkLSlEeXl5dTW1hIXpzuFSpBUAO+aYnHARMD/JkNEpNWJj4/n9ddf54wzzqCmpsYbnzp1Khs3bqRLly4WZieRTMdywRVQwbRy5UoSExOZNGmSIT5t2jRuuOEGvvrqK8aMGeN33bpTbjZk//79fP311/zxj3/0FksAY8aMYciQIaxcuVIFk0hr4sJdLFWZ4lcAXUOfjohEjrCdCfRiYM2P/ywsLOTWW29lxYoV2GxhmrOI1CuggiknJ4dhw4YZChmAkSNHepfXVzAF8hp12zS/zvr15um1/MvNzaVfv34kJSV5YydOnGDr1q0ApKSk0LdvX8M6eXl5VFW5j+rMp9SLi4vZv38/AH379iUlJcW7zOFwePPu2LGjz9SOu3fvpry8HIDhw4cbPr+jR4+yZ88eANLS0ujWrZth3Y0bN+JyuWjXrp3PzfH27dvHkSNHABg6dCgJCQneZRUVFezcuROA7t27k5qaalh38+bN3l8ihg8fjsvl8m7Ei4qKvNeLDRw4kMTERO961dXVbNu2DYDOnTvTp08fQ7vbt2/n+PHj2Gw2n+/w8OHDFBYWAtCvXz86derkXWa328nNzQUgKSmJ/v37G9bdtWsXx44dAyAzM9NwJrO0tJS9e/cC0KtXL7p2NR6FZ2dnA9C+fXsGDx5sWLZ3715KS0sByMjIoG3btt5l5eXl3lPbPXr0oGdP44U2ubm52O122rZtS0ZGhmFZYWGh94zqoEGD6NChg3dZVVWV96aGXbp0oXfv3oZ1t23bRnV1NTExMWRmZhqWHTp0iKKiIgDS09NJTk72LqupqWHLli0AJCcnk56eTlj4GjDfw3EocIYFuYiIhMLZcLnzcj788ENvaOXKlTz66KNMmDAh4o4jzDME6jjCLZTHEXWP5YJ1HLFz504qKioAGDFihOFkSElJCQUFBQD07t3bcDbV6XSyadMmABITExk4cKCh3fz8fMrKygAYNmyY+16NPygrKyM/Px+A1NRUunfvblg3JycHh8NBQkICQ4cONSwrKCigpMR94fTgwYNp37694TMMREAFU0lJid953jt37uxd3lyeNjxtml+nqa9ht9txuVyGmMvlora21rvc3zqe5WZOp9O7zOl0+ixvarvmnOq263A4/Lbrcrn8nmJ1OBzNatez3FwA123X/F7rfob+2vW8V3+/oDW13XD5bhp7r7W1tdjtdr9nTxv6bprSbm1trd9lDbXrWbe+di1xCPjQFEsE/gvQj6wiEqnawJIlSxg5ciTFxcXe8IIFCxg5cqTPD2XQuo8jGmpXxxGhOY6oeywXrOOIhr7zpn6G/tavm5NZY59hTU0NTqfT7yVBjX2GgQh4It+GTiW35Gnm+tpq6mvExsb6PNdms3k3GOYiwROrb+xnmzZtvMv8deymtmvOqW67/r7suLg4XC6X33ZjYmKa1W7d/9bXrvm91v0M/bXrea/+vqemthsu301j79XzPhv7DE+mXYfD4XdZQ+161q2v3ZCzA+/88N+6/hvo4Pt0EZFIkpqayqJFi7jmmmu8sePHj/PII4/w8ccf+zxfxxFuOo7A+/xwO46Ii4tr9mfY2Hs1a+y9xsfH43A4TuozDITNFUCJNXr0aBwOBxs2bDDEc3NzyczMZOHChcyYMaPRdr755hvOOussFi9ezNSpUw3LPvjgA6688kref/99n9n0Jk2axPr1672nYz2cTqf3NKtHx44dm3zdlEiksnR8/4fAv02xc4CxFuQiIhJirkfch1czZszg1VdfNSx76KGH+N3vfmdFWiJC4LVDQBXFiBEj2LJli88pSc+4RPM4yZPhacPTpvl1WuI1xOjo0aMcOXKEo0ePWp2KRIpd+BZL3YBLLchFRMQCnv3qM88843Pt0OOPP84XX3xhUWYSiXQsF1wBFUwTJkygoqKCFStWGOJZWVmkpaVxzjnnNDuhXr16cfbZZ/P6668bxip++eWXbNu2jYkTJzb7NcRoz5497Nq1y3vRqEizVAErTbEY4Ge4pxIXEYkCnv1qhw4dWLp0qWE4l9Pp5Oc//7n3QneR5tKxXHAFVDCNHTuWyy67jJkzZ/Lqq6/yySefMGPGDNasWcOCBQu8YwunT59ObGysz5e2fPlyli9fzrp16+D/t3fnYVGXex/H38OOkiAq7kDumlupuZSpmaYJHbUs0kqto1lWT115yrJHyzxPVtZV55SXJ82yY5qe1MytUrNOFm6ZKChlihtSqOCCgDLDPH+MTMzCMsLMwPB5XdfvQu/7d//mOzAw93d+94JlaF5RWXGvvfYaqampjBo1ik2bNrFkyRLuueceOnbsyPjx4yvyfEXEnczAWuCCXfltQCPH00VEaoLu3bvz8ssv25QdOXKEyZMnuzz5XEQ8z6U5TGBZZnLatGksX76crKws2rVrx/PPP09CQoL1nHHjxrFo0SLS0tJsliQsbYKVfRgbN25k+vTp7Nmzh1q1ahEXF8cbb7zhsJwgaA5TRZ06dco6OdB+OVKp3jw+h2kHsN6urAVwPy5+PCMiUr1lPJJh875qMpkYMGAA33//vc15H3zwAQ899JA3QhQfor6ca1zNHVxOmKoiJUwiznk0YToJfAAUX/UzFHgUqOO0hYiIzypa9KG4o0eP0rlzZ+ueSgAhISHs2LGDTp06eTI8kRrNrYs+iIg4lQ/8B9tkCWA4SpZERK6IiYlhwYIFNmX5+fncc8891g1BRaTqUcIkIhVjBr4Asu3K+wBtHU8XEanJRo0axeTJk23KUlNTefTRRzWfSaSKUsIkIhWzE9hvV9YMGOiFWEREqoE5c+Zwww032JQtXryYDz/80EsRiUhplDAJe/fu5aeffmLv3r3eDkWqm5PAV3ZlIcDdWJYSFxGpoUp7Xw0JCWH58uXUqWM7Znny5MlO96EUKYv6cu6lhEkwm83WQ6TcSpq3NAKI8Hw4IiJVSVnvqy1bttR8Jqk06su5lxImITQ0lFq1ahEaGurtUKS60LwlEZFSled9VfOZpLKoL+deWlZcxIe5bVlxZ/stNQPGo6F4IiI4X1bcmfz8fG666SZ2795tU679mUTcR8uKi4h7ad6SiEil0XwmkapPCZOIlN9FYBmatyQiUolKms80cuRIzp4966WoRKSIEiYRKR8T8Blwzq68N5q3JCJSQc7mM/3222+MGTMGk8n+UyoR8SQlTMLx48c5cuQIx48f93YoUpVtAtLsypqj/ZZERJy4mvfVN998k+7du9uUrV+/nhkzZlRmaOKD1JdzLyVMQlZWFqdPnyYrK8vboUhVtQ9ItCsLA+4BAjwfjohIVXc176vBwcGsXLmSqKgom/K///3vrFy5sjLDEx+jvpx7KWESkdJlAKvtyvyAe4FrPB+OiIgva968Of/5z38ICLD9NGrs2LHs37/fS1GJ1GxaVlzIz8/HbDZjMBgICQnxdjhSiSq8rHgu8D5gP+c4HuhWsUuLiPiy3GdzK/S++s9//pMnn3zSpqx169bs2LGDiAitsiO21JdzjZYVF5eFhIQQGhqqXzCxZQL+g2Oy1A0lSyIiZajo++rjjz/O2LFjbcoOHjzImDFjKCwsrGh44mPUl3MvJUwi4txmnC/yMNQLsYiI1DAGg4F58+ZpEQiRKkAJk4g42gf8aFemRR5ERDwqJCTE6SIQs2bN0iIQIh6khEnIycnh/Pnz5OTkeDsUqQq0yIOISIVV1vtqaYtAJCcnV/j64hvUl3MvJUzCoUOH+PXXXzl06JC3QxFvOwcsAYx25cOwDMcTEZFyqcz31VtuuYW33nrLpiwnJ4e4uDh+//33SnkMqd7Ul3MvJUwiYnEJWApcsCvXIg8iIl7nbBGIo0ePcuedd5Kbm+ulqERqBiVMQlRUFI0aNXIYIy01iAn4DLD/oDIGLfIgInIVKvt9tWgRiF69etmU79y5k/vvv18r59Vw6su5l/ZhEvFh5dqHyQysB3baldcDHgZqVXpYIiI+zzzDPd2rzMxMevXqRVqa7TKmU6ZM4Y033nDLY4r4Gu3DJCKu2Y5jshQKjEbJkohIFRMVFcW6descNq+dM2cO8+bN81JUIr5NCZNITZYKfGlX5g/ch+UOk4iIVDnt27dn5cqVDivnPf7443z5pf0fdRGpKCVMIjXVSWCFk/LhQLSHYxEREZcMGDCA+fPn25SZTCbuuece9u7d66WoRHyTEiZh//79JCUlsX//fm+HIp5yFsvy4QV25QOATp4PR0TE13jifXXcuHFMmzbNpuzChQsMGzaMkydPuvWxpWpRX869lDAJBQUF1kNqgHwsyZL93nZdgFs8H46IiC/y1PvqzJkzSUhIsCk7ceIE8fHxDpPaxXepL+deSpiEwMBA6yE+rgBLspRpVx4LxAPlWFRPRETK5qn3VT8/Pz788EP69OljU757925GjBjBpUuX3B6DeJ/6cu6lZcVFfJjNsuIm4FPgoN1J9YC/YlkZT0REKoW7lhUvyalTp+jduzeHDh2yKR85ciTLli1zWCBCpCbTsuIi4qgQ+BzHZKk2MAYlSyIi1VyDBg1Yt24d9evXtylfuXIljzzyCD7w+biI1yhhEvF1ZixLh++zKw8BHgAiPR6RiIi4Qdu2bfnyyy+55pprbMoXLlzI3/72NyVNIldJCZOIr/sW2GFXFoBlY9pGHo9GRETcqFu3bnzxxRcEBwfblL/55pvMnj3bS1GJVG9KmISMjAxOnDhBRkaGt0ORypYIfGdX5gckoL2WRETcyJvvq/3792fZsmX4+/vblL/wwgvMmzfPKzGJe6kv515KmITMzEx+//13MjPtl06T6mzRokXwlZOKkUArT0cjIlKzePt99S9/+QsLFy50KH/sscdYtmyZFyISd1Jfzr2UMIn4oM8//5yHH37YsSIO6OjxcERExAsefPBB3n77bZsys9nM/fffz5dffumlqESqHy0rLuTk5FBYWIifnx9hYWHeDkcqaN26dYwcOZLLly/bVgwE+nolJBGRGufc0+eqzPvqjBkzmDlzpk1ZSEgIa9as4bbbbvNSVFKZ1Jdzjau5gxImER+yZs0a7rrrLsedvvsAg9DGtCIiHuLpfZhKYzabefLJJ3n33XdtykNCQli9ejWDBw/2UmQi3qF9mERqqNWrVztPlq5HyZKISA1mMBh45513GDNmjE15fn4+d955p4bniZRBCZOID1i1ahV33323Y7LUFYhHyZKISA3n5+fHRx99REJCgk35pUuX+Mtf/sK6deu8FJlI1acheUJ+fj5msxmDwUBISIi3wxEXrVixgoSEBIxGo035Qw89xMJmC/WxiIiI/MkEow+NZsmSJTbFgYGBrFixgvj4eC8FJhWhvpxrNCRPXPbLL7+QkpLCL7/84u1QxEXLly/n3nvvdUiWJkyYwPz58/UbLiIitvzh448/5oEHHrApLigo4K677mL16tVeCkwqQn0593K5O5WTk8NTTz1FkyZNCAkJoWvXrnz66aflapuZmcm4ceOoX78+tWrVonfv3mzevNnhvP79+2MwGByOIUOGuBquiM/69NNPGT16NCaTyaZ80qRJzJs3T3dYRUTEKX9/fz788EPGjRtnU15QUMDdd9/NypUrvROYSBUV4GqDkSNHsnPnTmbPnk2bNm1YsmQJ9913H4WFhYwePbrEdpcuXWLgwIGcPXuWd955h6ioKN577z2GDBnCpk2b6Nevn835LVq04JNPPrEpi4iIcDVcKYfIyEhMJpPDjuBSdX3yySc8+OCDFBYW2pQ/9thjvPvuuxgMmrQkIiIl8/f354MPPsDPz89mg1uj0cg999zD0qVLGTVqlBcjFFeoL+deLs1hWr9+PcOGDbMmSUUGDx5MSkoKx44dK/EHNXfuXCZPnsyPP/5I7969AcsvZZcuXQgLC2P79u3Wc/v378/p06dJTk4uV1yawyTeZHjZw8lJIvCVk/IbgaFogQcRESlV8SXPCwsLmTRpkmUYdzEGg4H33nuPRx991NPhibidW+cwrVq1irCwMIdPHMaPH8/Jkydtkh5nbdu2bWtNlgACAgK4//772bFjB+np6a6EIlLzmIGNOE+WeqJkSUREXObn58e8efOYNGmSTbnZbOaxxx5j+vTp+MD6YCIV4tKQvOTkZNq3b09AgG2zzp07W+v79OlTYtu+ffs6lBe1TUlJoWnTptbyQ4cOERkZyfnz54mJiSEhIYEXX3yR0NDQcsWakpJCTEwMderUsZZdunSJ1NRUAOrWrUt0dLRNm4MHD5KbmwtAly5dbOpOnz5tTeqio6OpW7eutc5kMlnvhl1zzTW0aNHCpm1aWhrnz58H4LrrrrP5/p09e5ajR48C0KRJExo0aGDTdu/evZjNZkJDQ2nTpo1N3fHjx8nKygKgbdu2Nqui5OTkcOjQIQCioqJo3LixTdv9+/dTUFBAYGAgHTp0sKnLyMggMzMTgJYtW9rsGJ2fn2+dUBgZGUnz5s1t2v7666/k5eVhMBisP9sip06d4uTJkwDExMTYDLE0Go2kpKQAUKdOHa699lqbtocPH7Z+EtCxY0ebO5nZ2dkcO3YMgKZNm1K/fn2btklJSQDUqlWL1q1b29QdO3aM7OxsANq1a0dwcLC17vz586SlpQHQsGFDGjVqZNM2JSXFYbEFtzEBXwBJTup6A4NRsiQiIi4p3o946623CAgIcNjc9pVXXuHw4cN89NFHNv0X9SMsKqMfERwcTLt27WzqTp48yalTpwBo1aoVtWvXttbl5uZy8OBBAOrVq0ezZs1s2v7yyy/k5+fj7+9Px44dbeoyMzPJyMgAIDY2lvDwcGvd5cuXOXDgAADh4eHExsbatD106BA5OTkAdOrUyeZuzJkzZzhx4gQAzZo1o169eta6wsJC9u3bB0BYWBgtW7a0ue6RI0c4d+4cAO3btycoKMhad+7cOY4cOQJA48aNiYqKsmmbnJyMyWQiJCSEtm3b2tSdOHGCM2fOANC6dWtq1aplrSvq75eXSwnTmTNnHJIBsLzgi+pLa1t0Xlltb775Zu69917atWtHXl4eGzZs4PXXX2fr1q1s2bKlXEPtjEajwyciZrPZuk+Ns46u0Wh03MfmisLCQmud/bwRoNzXtY+p+HXtJ+8XXddsNhMYGOhQZzKZKnTdkp5r8evaP9fi30Nn1y16rs7m0JT3ulXlZ1PWcy0oKPBMwnQZWA785qRuIHAzSpZERMRlxd+XAf7xj39Qv359XnrpJZvzPvnkE3Jycli6dKn1g2v1Ixyve7X9CGf92tL6eOW5bkFBgdO60q5b1Las6zpT3u+hs/b2r8Piynquly9fprCw0OmUoLK+h65wedGH0iaTlzXRvLxtZ82aZVN3xx13EBsby5QpU1i9ejUjRowoM86AgACHxzMYDNbEw/4uWVGZs8QELLesi+qcvbDLe137mIpf19kPOzAwELPZ7PS6/v7+Fbpu0ddff/0Vo9FIQEAAbdq0sbmu/XMt/j10dt2i5+rsZ13e61aVn01Zz7Wk51mpLgJLAPsRqwbgTuB69z68iIj4Lvt+hMFgYMaMGTRq1IjHHnvMpuO7evVqBg0axBdffEFkZKRNP6K066ofUXY/oqzvYXmuW7wvFxgYWOICEKVdt/hzLSnein4Py3qu9sr6HgYFBWEyma7qe+gKlxZ96N27NyaTiR07dtiUp6Sk0LFjR/71r38xceJEp20bN25M3759Wb58uU35unXriIuL46uvvmLw4MElPvYff/xBo0aNePbZZ3nttdds6rToQ8UkJSVZb6vbD0WUsrlt0YdsYDFgf+M2ALgHaOPQQkREpEzFF30oyeeff05CQgKXLl2yKe/QoQNfffWVwzAw8S715Vzj1kUfOnXqxIEDBxxuSRaNS7QfJ2nftug8V9sWpySo8hXf60qqiN+BD3BMlkKBsShZEhERtxo+fDgbN2502NJl//799O7d2zpfSKoG9eXcy6XsY8SIEeTk5LBixQqb8kWLFtGkSRN69uxZatvU1FSblfSMRiOLFy+mZ8+eNGnSpNTHXrRoEQC9evVyJWQph86dO9OtWzeHyZXiJfuxJEs5duXhwENAc4cWIiIila5v3758//33Dn20EydO0KtXL9asWeOlyMSe+nLu5dKQPLDsubRr1y5ee+01WrVqxdKlS5k/fz6LFy9mzJgxADz88MMsWrSIQ4cOERMTA1hWqOvWrRvnz59n9uzZREVFMXfuXNasWWOzce3333/P3//+d0aMGEGLFi3Iz89nw4YNvP/++/Tr14+NGzc63GXSkDzxpkobklcIfHflsBcF3A/UcVInIiLigvIMySvu6NGjDBkyxLrScBGDwcCsWbN4/vnndWdDqhVXcweXF31YuXIl06ZNY/r06WRlZdGuXTuWLl1KQkKC9RyTyYTJZLJZgSI4OJjNmzfz7LPP8sQTT5Cbm0vXrl3ZsGGDNVkCy1wnf39/XnnlFU6fPo3BYKB169bMnDmTZ555RkmQ+KZLwCog1UldDJCAZTieiIiIh8XExLB161bi4+NJTEy0lpvNZqZNm8bevXtZuHChzbLNIr7E5TtMVZHuMIk3VfgOUzawFMh0Unc9MIyr+GhDRETEOVfvMBXJy8tj4sSJLF682KHuhhtu4PPPP3fYV0mkKnLrog/im06dOsXvv/9u3SBNPCgNeB/HZMkADMWydLiSJRERqQJCQ0P5+OOPeeONNxw6lrt376Z79+788MMPXoquZlNfzr2UMAknT57kxIkT1t2zxUN2Av8G8uzKQ4AHgJ5oQ1oREalSDAYDU6ZMYe3atYSHh9vUZWZmMmDAAD744AMvRVdzqS/nXkqYRDytaL7SOiwLPRTXAJgItPB0UCIiIuU3dOhQtm/fTps2tvtcFBQU8Ne//pW//vWv5Obmeik6kcqlOUzC2bNnKSwsxM/Pz2G/BSmbS3OYMoDPcNxfCSx7K43EcodJRETETa52DpMzZ8+eJSEhga+++sqhrkOHDixbtqzce23K1VNfzjWawyQui4iIIDIyUr9g7mQGdgALcJ4s9cWyEp6SJRERqUYiIiJYt24dzzzzjEPd/v376dGjB/Pnz8cHPp+v0tSXcy8lTCLulgcsA9YDJru6YGAUMBD9NoqISLXk7+/PnDlz+OSTT6hdu7ZNXX5+PhMnTiQhIYFz5855KUKRilEXTcSdjgHzcL6/UhPgEeA6j0YkIiLiFqNHj2b37t107drVoW758uXccMMN7Ny50wuRiVSMEibBaDRSUFCA0Wj0dii+oxD4HvgQcPaBWm/gISDSk0GJiIi4V5s2bdi2bRtPPPGEQ93hw4fp06cPb775JoWF9qseSUWoL+deSpiElJQUkpKSSElJ8XYovuEUsBDYjGXuUnGhwGjgdrS/koiI+KTg4GD+8Y9/sGrVKurWrWtTZzQamTJlCv369ePgwYNeitD3qC/nXkqYRCqLCctdpXnACSf1McCjWFbDExER8XHDhw9nz5499OnTx6Fu69atdO7cmTfffBOTyX6Cr0jVooRJqFOnDuHh4dSpU8fboVRffwAfYLmrZP933wD0A8YC+haLiEgNEh0dzbfffssLL7yAwWC7DUd+fj5Tpkzh5ptv5sCBA16K0DeoL+de2odJpAIKCgoIuj0IvsNxE1qwzFH6C5a7SyIiIlVAZe7D5Ipvv/2Whx56iLS0NIe64OBgXnrpJaZMmUJAgMasi3u5mjsoYRK5Snv27GH8+PHs2bPHsdIA9AIGAEEeDkxERKSquoxlNMZ259Xdu3dn4cKFdOrUyZNRSQ2jjWtF3CwrK4vHH3+cbt26OU+W6mNZAe92lCyJiIgUFwQMBcbjdKXYXbt2cf311/P0009z9uxZDwcn4pzuMImUk8lkYsGCBUybNo0zZ844nmAAbsIyXynQw8GJiIhUN5eBLcA2HFeVBRo0aMCrr77K+PHj1aeTSqUheVcoYSq/w4cPYzQaCQgIoEWLFt4Ox4HhZUPZJ7nbUWAD8HsJ9VFY5io19VhEIiIivuE4sBo47by6e/fu/POf/6RXr16ejKpaqep9uapGQ/LEZRcuXOD8+fMOLxwBzgMrsGxA6yxZCgD6AxNRsiQiInI1mgOPALdYFn+wt2vXLnr37s24ceP4/feSPrms2dSXcy8lTCLOXMKy8t0/gX0lnNMBeBxLwqQFfURERK5eIHAr7N+/n+HDhzs9ZdGiRbRp04ZXX32VixcvejY+qdE0JE9sNozz9/f3YiTOeXRIXgGwE9gK5JZwTgMsE1Z1x1tERKRSFS15/vXXX/Pkk0/yyy+/OD2vYcOGvPDCCzzyyCNO70rVNFW9L1fVaEieuMzf39961FhGLInSP4CvcZ4sBQNDgEkoWRIREXGjwYMHs3fvXubMmcM111zjUP/HH3/wP//zP7Ru3ZoFCxZQUFDghSirDvXl3EsJk9RshcAe4F1gHVDS0N8bgCew7K2kv0UiIiJuFxQUxDPPPMOvv/7K2LFjnZ5z/PhxJkyYQIcOHViyZAmFhc52kRepGCVMUjOZgCRgLvA5UNJWD22w3FG6EwjzTGgiIiLrc5yHAAATUUlEQVTyp0aNGvHRRx/x008/MXToUKfn/Pbbb4wZM4YuXbqwdOlSjEajh6MUX6Y5TEJ2djaFhYX4+flRt25db4fjoFLnMF0CfsKy58P5Us67FrgVy8o9IiIi4hFFc5hKs3XrVl588UW+++67Es+JiYnh6aef5uGHHyYszPc/8azqfbmqRnOYxGXHjh0jLS2NY8eOeTsU9zkPbATewjJHqaRkqRkw9sqhZElERKTKufnmm9myZQtff/01PXr0cHrO0aNHeeqpp4iOjmbatGk+vxx5jejLeZESJvFtmViG3L0N/IDlDpMzjYDRwMNY7i6JiIhIlWUwGBg0aBDbt2/n888/p2PHjk7Py87O5v/+7/+IjY1lwoQJpKamejhS8QUakiecPn3aehu3fv363g7HgctD8ozAASxD746UcW5zoA/QFn18ICIi4mXlGZLnTGFhIatWreKNN95g+/btpZ47cOBAJk6cyPDhwwkKCrqqx6tqqnpfrqpxNXdQwiRVXrkTptNYkqQ9QF4Z57bDkihFVyQyERERqUxXmzBZ25vNbN26lTfeeIM1a9aUem6DBg0YP348EyZMoFWrVhV6XKlelDBdoYTJd5SaMLlyN8kf6Ar0BvThi4iISJVT0YSpuAMHDvDmm2/y73//m8uXL5d6ri/edZKSKWG6QgmT73BImAqxJEfJwH4gv4wL1AK6AzeipcFFRERqmgvAdiwfrpY1AiUU6AB0wjIKxa4rWZkJnXiPq7lDgCeCEqkwM3ACS5KUAuSUo821QDcsw+/0ShcREamZrgFuA/rx56iUoyWcm3el/qcr7a7Dkjw1ASpxlxOpXtSNFJKSkigoKCAwMJAuXbp4Oxwrs9nMnj17YBOWRKmkzWWLq4Vl2N0NaNidiIiI/CkQ6HzlOAXspvR5zxew7Nu4DagLdISk4Ul07twZg6FqZU9VtS/nK5QwSZWSl5fHN998w5o1a1i7di3p6enla6i7SSIiIlJeDYDbsWxSX9ZdJ4Bs4Hvo2rUr0dHRxMXFERcXx4ABAwgJCfFAwOJNmsMkHDx4EKPRSEBAAK1bt/b442dkZLB27VrWrl3Lxo0bycsra4DxFY2AjleOCDcGKCIiIr4vG8uIlmTgj/I1qV27NoMGDSI+Pp5hw4bRsGFDNwZYMm/35aobLfpwhRKmquvcuXP897//5ZtvvuGbb75h79695W9cjz+TpAZuClBERERqtkwsidM+LIlUORgMBrp06cKtt97KrbfeSt++falTp44bg5SrpYTpCiVMVUdubi4//PCDNUHatWsXhYWF5b9AXaA9liSpMZp0KSIiIp5hBk5iSZwOAOfK39Tf358ePXpYE6g+ffoQGhrqnjjFJUqYrlDC5B1ms5mjR4+ybds2EhMT2bZtGz///DMFBQXlvoafnx99+vQhPj6euLg4rlt+nZIkERER8S4z7Lt7n3WedWJiIq50o4OCgrjhhhvo1asXvXr1onfv3jRv3rzKLSBREyhhukIJk2ecPXuWPXv2sH37dmuS9Mcf5Rz4W0ydOnUYMmQI8fHxDBkyhPr1/1zirtSNa0VEREQ8pPg+TKdOnWL9+vWsWbOGr776ipyc8ux5Yqtx48bWBKpnz5507dqV8PDwygxZnFDCdIUSpvI7duyYdaJgdHS003PMZjNHjhwhKSmJPXv2WI+jR0tbUqZkQUFB9OnTx3qbukePHiXurK2ESURERKqCkjauvXz5Mtu3b7dOP0hMTHRpdE1x1157LV26dKFr167WIzo6utQ7UeXpy8mflDBdoYSp/Iqv3d+xY0eOHj1KamoqqampHDhwgAMHDpCcnMy5cy4M3LVTkXG8SphERESkKigpYbJX4fnbdiIiIujUqRPt2rWjffv21q/R0dH4+flpHyYXKWG6QglTyUwmE+np6Rw+fJi0tDQSExOZ/+N8OA2cAYyV8CChQDOg+ZWvTYHgSriuiIiIiJeUN2Gyd+7cOXbs2GEzxzs7u5zL75UiNDSUNm3a0LhxY5o2bUp0dDT9+vWjRYsWNG3aVH3hEihhuqImJ0z5+fmcOHHCehw/fpxjx46RlpbG4cOHOXLkyFXfJnbKH4jCkhgVHZFooQYRERHxKVebMDlcx2zm4MGDbNu2zXokJydXav8sKCiI2NhYWrRowbXXXkt0dDTNmzenWbNm1iM4uGZ+mq2E6YqqmDBVaGiZGbgM5BQ7Ltr9//yVI7eCgZYmFMuGscWP+liSJhEREREfVlkJkzOXL1/mwIED1nniRfPGK+NOVEkaNGhgTZ4aNWpEo0aNaNiwoc3XRo0aERYW5rYYvMHtCVNOTg4vvvgiy5cvJysri3bt2jF16lQSEhLKbJuZmcmzzz7L2rVryc3NpUuXLsyaNYuBAwc6nLtp0yb+93//l6SkJGrVqkVcXByvv/46UVFRDuc6e9It/9WSM3lnXHlqnmEELl058ov9+xKQhyXZyS3h35UxVK68QrAkQg2ufK2PJTmqg+4ciYiISI3kzoTJ6eOZzRw/fpykpCTrvPKiOeYVmVvuqtDQUCIjI6lbty6RkZE2/y6tLDw8vMrdwADXE6YAVx9g5MiR7Ny5k9mzZ9OmTRuWLFnCfffdR2FhIaNHjy6x3aVLlxg4cCBnz57lnXfeISoqivfee48hQ4awadMm+vXrZz33u+++Y+jQoQwbNozVq1eTmZnJc889x8CBA9m1a5f7bx+aARNQcOUwFvt3af+/jG0CZJ8Q5V+5blURiGVT2LpABLYJUm2UGImIiIh4kcFgIDo6mujoaOLj463lZrOZP/74w5o8paamWqdeHD58mLy8vEqNIy8vj/T0dNLT012OPyIigvDwcMLCwqhduzZhYWHWw/7/JZ0TEhJiPYKDg61fPbWHlUt3mNavX8+wYcOsSVKRwYMHk5KSwrFjx/D3dz42a+7cuUyePJkff/yR3r17A2A0GunSpQthYWFs377deu6NN97IxYsXSUpKIiDAktP9+OOP3HTTTcydO5dHH33U5tomk8lh7fseY3uQlZ0FhViSlKKj6P9Gu/8XPwqwJE3VXRCWO0JhwDVAOJbEqOhrLZQUiYiIiJRT5pRMb4fgVPG7JWFhYZw+fZqjR4/aHBkZGZw8eZL09HQuXrzoxWgrT3BwMEFBQdYkKigoyJpMFf07MDCQwMBAAgICrP++5ppreP75522uFRYWVmIe41LCNGHCBD799FOys7OtiQzA0qVLGT16ND/88AN9+vRx2nbQoEEcP36c1NRUm/JXX32VF154gRMnTtC0aVPS09Np1qwZr776KlOnTrU5t23btsTExPD111/blBuNRp/5wYuIiIiIiGfVrl3bJr8pzqVBhcnJybRv397hYp07d7bWl9a26DxnbVNSUmyuUdK5pT2GiIiIiIhIZXIpYTpz5gyRkZEO5UVlZ86UvMhCedsWfS3p3NIeQ0REREREpDK5vGxFaZOrypp45Urbks711OQuERERERERl1bJq1evntM7PFlZWYDzu0Kutq1Xrx7g/G5VVlaW08fw8/Ojdu3aNmUGg0HJlYiIiIiI2DCbzdgv41Da8ucuJUydOnVi6dKlGI1Gm3lM+/btA6Bjx46lti06rzj7tkVf9+3bxx133OFwrrPH8PPzq5JrvIuIiIiISPXmUpYxYsQIcnJyWLFihU35okWLaNKkCT179iy1bWpqqs3y4UajkcWLF9OzZ0+aNGkCQNOmTbnxxhtZvHgxJtOfmxZt27aNX375hZEjR7oSsoiIiIiIyFVzaVlxsOy5tGvXLl577TVatWrF0qVLmT9/PosXL2bMmDEAPPzwwyxatIhDhw4RExMDWDau7datG+fPn2f27NlERUUxd+5c1qxZ47Bx7bfffsugQYOIj4/nscceIzMzk6lTpxIeHu6ZjWtFRERERES4ikUfVq5cyQMPPMD06dMZMmQI27dvZ+nSpdZkCSwbyZpMJpuxgcHBwWzevJkBAwbwxBNPEB8fT0ZGBhs2bLBJlgD69+/P+vXrycjIID4+nieeeIIBAwawefNmJUuVbOvWrdxxxx3UrVuX0NBQWrduzSuvvOLtsMRH/fzzzwwfPpwmTZpQq1Yt2rVrx8yZM8nNzfV2aFLNXbhwgWeffZbBgwfToEEDDAYDL730ktNzd+/ezW233UZYWBgRERGMHDmSw4cPezZgqdbK83ozmUy89dZbDBkyhGbNmlGrVi3at2/P1KlTOXv2rHcCl2rLlb9xRcxmM7fccgsGg4HHH3/cM4H6KJcTprCwMN555x0yMjK4dOkSSUlJJCQk2Jzz0UcfYTabiY2NtSlv2LAhixYt4syZM+Tl5ZGYmMhtt93m9HEGDRpEYmIieXl5nDlzhkWLFhEVFeVquFKKJUuW0K9fP8LDw/n4449Zv349zz33nMMkOJHKsH//fvr06cORI0d4++23Wbt2LQkJCcycOZP77rvP2+FJNXfmzBnef/99Ll26xPDhw0s8LzU1lf79+3P58mWWL1/OwoUL+fXXX+nbty+nTp3yYMRSnZXn9ZaXl8dLL71ETEwMb7/9NuvXr2fChAm8//773HTTTeTl5Xk4aqnOyvs3rrj33nuP3377zc2R1QwuLfogviM9PZ2JEyfyyCOPMHfuXGv5gAEDvBiV+LIlS5aQn5/PihUraNmyJQC33norGRkZvP/++2RnZ1O3bl0vRynVVUxMDNnZ2RgMBk6fPs2CBQucnjd9+nSCg4NZu3YtderUAaBbt260bt2aOXPm8Nprr3kybKmmyvN6Cw0NJS0tzbr6L1hG0ERHRzNq1ChWrFjB/fff78mwpRor79+4IkeOHOH555/n448/1vz/SqCl5WqoBQsWcPHiRZ577jlvhyI1RGBgIADh4eE25REREfj5+REUFOSNsMRHlGcrCaPRyNq1a7nrrrusyRJYOiIDBgxg1apV7g5TfER5Xm/+/v42yVKRG2+8EYDjx4+7JTbxTa5ulzNx4kQGDRrEiBEj3BhVzaGEqYb673//S2RkJKmpqXTt2pWAgACioqKYNGkS58+f93Z44oPGjh1LREQEjz76KIcPH+bChQusXbuWf/3rX0yePNlhLzWRynbo0CHy8vLo3LmzQ13nzp357bffyM/P90JkUpN88803AFx33XVejkR81YIFC9ixYwfvvvuut0PxGUqYaqj09HRyc3MZNWoU9957L5s2beJvf/sbH3/8MXfccYfmMUmli42NJTExkeTkZFq2bEmdOnWIj49n7NixvPPOO94OT2qAog3RnW2AHhkZidlsJjs729NhSQ2Snp7O1KlT6d69O3Fxcd4OR3xQeno6U6ZM4fXXX7du2SMVpzlMNVRhYSH5+fnMmDGDqVOnApax1UFBQTz11FNs3ry5xAU5RK7GkSNHiI+Pp2HDhnz22Wc0aNCA7du3M2vWLHJycvjggw+8HaLUEKUNa3FlyIuIK7KysqwfSC5btgw/P31mLZVv0qRJdOnShQkTJng7FJ+ihKmGqlevHgcPHuT222+3KR86dChPPfWUddldkcoydepUzp8/z549e6zD72655Rbq16/PQw89xIMPPuiwxYBIZSqaT1J0p6m4rKwsDAYDERERng5LaoDs7GwGDRpEeno633zzDS1atPB2SOKDPvvsM7788ku2bt3KuXPnbOouX77M2bNnqV27tnVOsZSfPt6ooZyN4QesQ/H0yZdUtj179tChQweHuUo9evQAIDk52RthSQ3SsmVLQkND2bdvn0Pdvn37aNWqFSEhIV6ITHxZdnY2t912G2lpaWzcuLHE91+RikpOTsZoNNKrVy/q1q1rPQDmz59P3bp1WbdunZejrJ7UK66h7rrrLgA2bNhgU75+/XoAevXq5fGYxLc1adKElJQUcnJybMoTExMBaNasmTfCkhokICCA+Ph4Vq5cyYULF6zlx44dY8uWLVp6VypdUbJ0+PBhvv76a66//npvhyQ+bNy4cWzZssXhABg+fDhbtmzh5ptv9nKU1ZOG5NVQgwcPJj4+npkzZ1JYWEivXr3YtWsXL7/8MnFxcfqFkkr31FNPMXz4cAYNGsTTTz9N/fr12bZtG6+++iodOnRg6NCh3g5RqrkNGzZw8eJFazK0f/9+PvvsMwDuuOMOatWqxcsvv0yPHj2Ii4tj6tSp5OfnM336dOrXr88zzzzjzfClminr9WYwGLj99tv5+eefefvttzEajWzbts3avkGDBtY96UTKo6zXXGxsLLGxsU7bNm3alP79+3soUt9jMGs5tBorLy+Pl19+mSVLlpCRkUGTJk0YM2YMM2bMIDg42NvhiQ/asmULs2fPZu/evZw7d47mzZsTHx/P888/73S/EhFXxMbGcvToUad1aWlp1o7ETz/9xHPPPUdiYiIBAQHceuutzJkzR51XcUlZrzeAa6+9tsT2Y8eO5aOPPnJHaOKjyvs3zp7BYGDy5MlaZrwClDCJiIiIiIiUQHOYRERERERESqCESUREREREpARKmEREREREREqghElERERERKQESphERERERERKoIRJRERERESkBEqYRERERERESqCESUREREREpARKmEREREREREqghElERERERKQESphERERERERK8P8cs1sgiYIx8wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.kf_internal as kf_internal\n",
    "kf_internal.gaussian_vs_histogram()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I hope you see the power of this. We can replace hundreds to thousands of numbers with a single pair of numbers: $x = \\mathcal N(\\mu, \\sigma^2)$. \n",
    "\n",
    "The tails of the Gaussian extend to infinity on both sides, so it incorporates arbitrarily many bars in the histogram. If this represents our belief in the position of the dog in the hallway, this one Gaussian covers the entire hallway (and the entire universe on that axis). We think that it is likely the dog is at 10, but he could be at 8, 14, or, with infinitesimally small probability, at 10$^{80}$. \n",
    "\n",
    "In this chapter we replace histograms with Gaussians:\n",
    "\n",
    "$$\\begin{array}{l|l|c}\n",
    "\\text{discrete Bayes} & \\text{Gaussian} & \\text{Step}\\\\\n",
    "\\hline\n",
    "\\bar {\\mathbf x} = \\mathbf x \\ast f(\\mathbf x) & \n",
    "\\bar {x}_\\mathcal{N} =  x_\\mathcal{N} \\, \\oplus \\, f_{x_\\mathcal{N}}(\\bullet) &\n",
    "\\text{Predict} \\\\\n",
    "\\mathbf x = \\|\\mathcal L \\bar{\\mathbf x}\\| & x_\\mathcal{N} = L \\, \\otimes \\, \\bar{x}_\\mathcal{N} & \\text{Update} \n",
    "\\end{array}$$\n",
    "\n",
    "where $\\oplus$ and $\\otimes$ is meant to express some unknown operator on Gaussians. I won't do it in the rest of the book, but the subscript indicates that $x_\\mathcal{N}$ is a Gaussian. \n",
    "\n",
    "The discrete Bayes filter used convolution for the prediction. We showed that it used the *total probabability theorem*, computed as a sum, so maybe we can add the Gaussians. It used multiplications to incorporate the measurement into the prior, so maybe we can multiply the Gaussians. Could it be this easy:\n",
    "\n",
    "$$\\begin{aligned} \n",
    "\\bar x &\\stackrel{?}{=} x + f_x(\\bullet) \\\\\n",
    "x &\\stackrel{?}{=} \\mathcal L \\cdot \\bar x\n",
    "\\end{aligned}$$\n",
    "\n",
    "This will only work if the sum and product of two Gaussians is another Gaussian. Otherwise after the first epoch $x$ would not be Gaussian, and this scheme falls apart."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predictions with Gaussians\n",
    "\n",
    "We use Newton's equation of motion to compute current position based on the current velocity and previous position:\n",
    "\n",
    "$$ \\begin{aligned}\\bar{x}_k &= x_{k-1} + v_k \\Delta t \\\\\n",
    " &= x_{k-1} + f_x\\end{aligned}$$\n",
    "\n",
    "I've dropped the notation $f_x(\\bullet)$ in favor of $f_x$ to keep the equations uncluttered. \n",
    "\n",
    "If the dog is at 10 m, his velocity is 15 m/s, and the epoch is 2 seconds long, we have\n",
    "\n",
    "$$ \\begin{aligned} f_x &= v\\Delta t = 15\\cdot 2\\\\\n",
    "\\bar{x}_k &= 10 + (15\\cdot 2) = 40 \\end{aligned}$$\n",
    "\n",
    "We are uncertain about his current position and velocity, so this will not do. We need to express the uncertainty with a Gaussian.\n",
    "\n",
    "Position is easy. We define $x$ as a Gaussian. If we think the dog is at 10 m, and the standard deviation of our uncertainty is 0.2 m, we get $x=\\mathcal N(10, 0.2^2)$.\n",
    "\n",
    "What about our uncertainty in his movement? We define $f_x$ as a Gaussian. If the dog's velocity is 15 m/s, the epoch is 1 second, and the standard deviation of our uncertainty is 0.7 m/s, we get $f_x = \\mathcal N (15, 0.7^2)$.\n",
    "\n",
    "The equation for the prior is \n",
    "\n",
    "$$\\bar x = x + f_x$$\n",
    "\n",
    "What is the sum of two Gaussians? In the last chapter I proved that:\n",
    "\n",
    "$$\\begin{gathered}\n",
    "\\mu = \\mu_1 + \\mu_2 \\\\\n",
    "\\sigma^2 = \\sigma^2_1 + \\sigma^2_2\n",
    "\\end{gathered}$$\n",
    "\n",
    "This is fantastic news; the sum of two Gaussians is another Gaussian! \n",
    "\n",
    "The math works, but does this make intuitive sense?  Think of the physical representation of this abstract equation. We have \n",
    "\n",
    "$$\\begin{gathered}\n",
    "x=\\mathcal N(10, 0.2^2)\\\\\n",
    "f_x = \\mathcal N (15, 0.7^2)\n",
    "\\end{gathered}$$\n",
    "\n",
    "If we add these we get:\n",
    "\n",
    "$$\\begin{aligned}\\bar x &= \\mu_x + \\mu_{f_x} = 10 + 15 &&= 25 \\\\\n",
    "\\bar\\sigma^2 &= \\sigma_x^2 + \\sigma_{f_x}^2 = 0.2^2 + 0.7^2 &&= 0.53\\end{aligned}$$\n",
    "\n",
    "It makes sense that the predicted position is the previous position plus the movement. What about the variance? It is harder to form an intuition about this. However, recall that with the `predict()` function for the discrete Bayes filter we always lost information. We don't really know where the dog is moving, so the confidence should get smaller (variance gets larger). $\\sigma_{f_x}^2$ is the amount of uncertainty added to the system due to the imperfect prediction about the movement, and so we would add that to the existing uncertainty. \n",
    "\n",
    "Let's take advantage of the `namedtuple` class in Python's `collection` module to implement a Gaussian object. We could implement a Gaussian using a tuple, where $\\mathcal N(10, 0.04)$ is implemented in Python as `g = (10., 0.04)`. We would access the mean with `g[0]` and the variance with `g[1]`.\n",
    "\n",
    "`namedtuple` works the same as a tuple, except you provide it with a type name and field names. It's not important to understand, but I modified the `__repr__` method to display its value using the notation in this chapter. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import namedtuple\n",
    "gaussian = namedtuple('Gaussian', ['mean', 'var'])\n",
    "gaussian.__repr__ = lambda s: '𝒩(μ={:.3f}, 𝜎²={:.3f})'.format(s[0], s[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can create a print a Gaussian with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "𝒩(μ=3.400, 𝜎²=10.100)\n",
      "𝒩(μ=4.500, 𝜎²=0.040)\n"
     ]
    }
   ],
   "source": [
    "g1 = gaussian(3.4, 10.1)\n",
    "g2 = gaussian(mean=4.5, var=0.2**2)\n",
    "print(g1)\n",
    "print(g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can access the mean and variance with either subscripts or field names:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3.4, 3.4, 10.1, 10.1)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g1.mean, g1[0], g1[1], g1.var"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is our implementation of the predict function, where `pos` and `movement` are Gaussian tuples in the form ($\\mu$, $\\sigma^2$):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def predict(pos, movement):\n",
    "    return gaussian(pos.mean + movement.mean, pos.var + movement.var)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's test it. What is the prior if the intitial position is the Gaussian $\\mathcal N(10, 0.2^2)$ and the movement is the Gaussian $\\mathcal N (15, 0.7^2)$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "𝒩(μ=25.000, 𝜎²=0.530)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pos = gaussian(10., .2**2)\n",
    "move = gaussian(15., .7**2)\n",
    "predict(pos, move)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The prior states that the dog is at 25 m with a variance of 0.53 m$^2$, which is what we computed by hand."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Updates with Gaussians\n",
    "\n",
    "The discrete Bayes filter encodes our belief about the position of our dog in a histogram of probabilities. The distribution is discrete and multimodal. It can express strong belief that the dog is in two positions at once, and the positions are discrete.\n",
    "\n",
    "We are proposing that we replace the histogram with a Gaussian. The discrete Bayes filter used this code to compute the posterior:\n",
    "\n",
    "\n",
    "```python\n",
    "def update(likelihood, prior):\n",
    "    posterior = likelihood * prior\n",
    "    return normalize(posterior)\n",
    "```\n",
    "\n",
    "which is an implementation of the equation:\n",
    "\n",
    "$$x = \\| \\mathcal L\\bar x \\|$$\n",
    "\n",
    "We've just shown that we can represent the prior with a Gaussian. What about the likelihood? The likelihood is the probability of the measurement given the current state. We've learned how to represent measurements as Gaussians. For example, maybe our sensor states that the dog is at 23 m, with a standard deviation of 0.4 meters. Our measurement, expressed as a likelihood, is $z = \\mathcal N (23, 0.16)$.\n",
    "\n",
    "Both the likelihood and prior are modeled with Gaussians. Can we multiply Gaussians? Is the product of two Gaussians another Gaussian?\n",
    "\n",
    "Yes to the former, and almost to the latter! In the last chapter I proved that the product of two Gaussians is proportional to another Gausian. \n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu &= \\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2}, \\\\\n",
    "\\sigma^2 &= \\frac{\\sigma_1^2\\sigma_2^2}{\\sigma_1^2+\\sigma_2^2}\n",
    "\\end{aligned}$$\n",
    "\n",
    "We can immediately infer several things. If we normalize the result, the product is another Gaussian. If one Gaussian is the likelihood, and the second is the prior, then the mean is a scaled sum of the prior and the measurement. The variance is a combination of the variances of the prior and measurement. Finally, the variances are completely unaffected by the values of the mean!\n",
    "\n",
    "We put this in Bayesian terms like so:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mathcal N(\\mu, \\sigma^2) &= \\| prior \\cdot likelihood \\|\\\\\n",
    "&= \\| \\mathcal{N}(\\bar\\mu, \\bar\\sigma^2)\\cdot \\mathcal{N}(\\mu_z, \\sigma_z^2) \\|\\\\\n",
    "&= \\mathcal N(\\frac{\\bar\\sigma^2 \\mu_z + \\sigma_z^2 \\bar\\mu}{\\bar\\sigma^2 + \\sigma_z^2},\\frac{\\bar\\sigma^2\\sigma_z^2}{\\bar\\sigma^2 + \\sigma_z^2})\n",
    "\\end{aligned}$$\n",
    "\n",
    "If we implemented that in a function `gaussian_multiply()` we could implement our filter's update step as"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "𝒩(μ=10.800, 𝜎²=0.008)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def gaussian_multiply(g1, g2):\n",
    "    mean = (g1.var * g2.mean + g2.var * g1.mean) / (g1.var + g2.var)\n",
    "    variance = (g1.var * g2.var) / (g1.var + g2.var)\n",
    "    return gaussian(mean, variance)\n",
    "\n",
    "def update(prior, likelihood):\n",
    "    posterior = gaussian_multiply(likelihood, prior)\n",
    "    return posterior\n",
    "\n",
    "# test the update function\n",
    "predicted_pos = gaussian(10., .2**2)\n",
    "measured_pos = gaussian(11., .1**2)\n",
    "estimated_pos = update(predicted_pos, measured_pos)\n",
    "estimated_pos"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perhaps this would be clearer if we used more specific names:\n",
    "\n",
    "```python\n",
    "def update_dog(dog_pos, measurement):\n",
    "    estimated_pos = gaussian_multiply(measurement, dog_pos)\n",
    "    return estimated_pos  \n",
    "```\n",
    "\n",
    "That is less abstract, which perhaps helps with comprehension, but it is poor coding practice. We are writing a Kalman filter that works for any problem, not just tracking dogs in a hallway, so we won't use variable names with 'dog' in them. Also, this form obscures the fact that we are multiplying the likelihood by the prior.\n",
    "\n",
    "We have the majority of our filter implemented, but I fear this step is still a bit confusing. I've asserted that we can multiply Gaussians and that it correctly performs the update step, but why is this true? Let's take a detour and spend some time multiplying Gaussians."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Understanding Gaussian Multiplication\n",
    "\n",
    "Let's plot the pdf of $\\mathcal{N}(10,\\, 1) \\times \\mathcal{N}(10,\\, 1)$. Can you determine its shape without looking at the result? What should the new mean be? Will the curve be wider, narrower, or the same as $\\mathcal{N}(10,\\, 1)$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "𝒩(μ=10.000, 𝜎²=0.500)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = gaussian(10., 1.)  # Gaussian N(10, 1)\n",
    "\n",
    "product = gaussian_multiply(z, z)\n",
    "\n",
    "xs = np.arange(5, 15, 0.1)\n",
    "ys = [stats.gaussian(x, z.mean, z.var) for x in xs]\n",
    "plt.plot(xs, ys, label='$\\mathcal{N}(10,1)$')\n",
    "\n",
    "ys = [stats.gaussian(x, product.mean, product.var) for x in xs]\n",
    "plt.plot(xs, ys, label='$\\mathcal{N}(10,1) \\\\times \\mathcal{N}(10,1)$', ls='--')\n",
    "plt.legend()\n",
    "print(product)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result of the multiplication is taller and narrow than the original Gaussian but the mean is unchanged. Does this match your intuition?\n",
    "\n",
    "Think of the Gaussians as two measurements. If I measure twice and get 10 meters each time, I should conclude that the length is close to 10 meters. Thus the mean should be 10. It would make no sense to conclude the length is actually 11, or 9.5. Also, I am more confident with two measurements than with one, so the variance of the result should be smaller. \n",
    "\n",
    "\"Measure twice, cut once\" is a well known saying. Gaussian multiplication is a mathematical model of this physical fact. \n",
    "\n",
    "I'm unlikely to get the same measurement twice in a row. Now let's plot the pdf of $\\mathcal{N}(10.2,\\, 1) \\times \\mathcal{N}(9.7,\\, 1)$. What do you think the result will be? Think about it, and then look at the graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_products(g1, g2): \n",
    "    plt.figure()\n",
    "    product = gaussian_multiply(g1, g2)\n",
    "\n",
    "    xs = np.arange(5, 15, 0.1)\n",
    "    ys = [stats.gaussian(x, g1.mean, g1.var) for x in xs]\n",
    "    plt.plot(xs, ys, label='$\\mathcal{N}$'+'$({},{})$'.format(g1.mean, g1.var))\n",
    "\n",
    "    ys = [stats.gaussian(x, g2.mean, g2.var) for x in xs]\n",
    "    plt.plot(xs, ys, label='$\\mathcal{N}$'+'$({},{})$'.format(g2.mean, g2.var))\n",
    "\n",
    "    ys = [stats.gaussian(x, product.mean, product.var) for x in xs]\n",
    "    plt.plot(xs, ys, label='product', ls='--')\n",
    "    plt.legend();\n",
    "    \n",
    "z1 = gaussian(10.2, 1)\n",
    "z2 = gaussian(9.7, 1)\n",
    " \n",
    "plot_products(z1, z2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you ask two people to measure the distance of a table from a wall, and one gets 10.2 meters, and the other got 9.7 meters, your best guess must be the average, 9.95 meters if you trust the skills of both equally.\n",
    "\n",
    "Recall the g-h filter. We agreed that if I weighed myself on two scales, and the first read 160 lbs while the second read 170 lbs, and both were equally accurate, the best estimate was 165 lbs. Furthermore I should be a bit more confident about 165 lbs vs 160 lbs or 170 lbs because I now have two readings, both near this estimate, increasing my confidence that neither is wildly wrong. \n",
    "\n",
    "This becomes counter-intuitive in more complicated situations, so let's consider it further. Perhaps a more reasonable assumption would be that one person made a mistake, and the true distance is either 10.2 or 9.7, but certainly not 9.95. Surely that is possible. But we know we have noisy measurements, so we have no reason to think one of the measurements has no noise, or that one person made a gross error that allows us to discard their measurement. Given all available information, the best estimate must be 9.95.\n",
    "\n",
    "In the update step of the Kalman filter we are not combining two measurements, but one measurement and the prior, our estimate before incorporating the measurement. We went through this logic for the g-h filter. It doesn't matter if we are incorporating information from two measurements, or a measurement and a prediction, the math is the same. \n",
    "\n",
    "Let's look at that. I'll create a fairly inaccurate prior of $\\mathcal N(8.5, 1.5)$ and a more accurate measurement of $\\mathcal N(10.2, 0.5).$ By \"accurate\" I mean the sensor variance is smaller than the prior's variance, not that I somehow know that the dog is closer to 10.2 than 8.5. Next I'll plot the reverse relationship: an accurate prior of $\\mathcal N(8.5, 0.5)$ and a inaccurate measurement of $\\mathcal N(10.2, 1.5)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prior, z = gaussian(8.5, 1.5), gaussian(10.2, 0.5)\n",
    "plot_products(prior, z)\n",
    "\n",
    "prior, z = gaussian(8.5, 0.5), gaussian(10.2, 1.5)\n",
    "plot_products(prior, z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is a Gaussian that is taller than either input. This makes sense - we have incorporated information, so our variance should have been reduced. And notice how the result is far closer to the the input with the smaller variance. We have more confidence in that value, so it makes sense to weight it more heavily.\n",
    "\n",
    "It *seems* to work, but is it really correct? There is more to say about this, but I want to get a working filter going so you can it experience it in concrete terms. After that we will revisit Gaussian multiplication and determine why it is correct."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interactive Example\n",
    "\n",
    "This interactive code provides sliders to alter the mean and variance of two Gaussians that are being multiplied together. As you move the sliders the plot is redrawn. Place your cursor inside the code cell and press CTRL+Enter to execute it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact\n",
    "\n",
    "def interactive_gaussian(m1, m2, v1, v2):\n",
    "    g1 = gaussian(m1, v1)\n",
    "    g2 = gaussian(m2, v2)\n",
    "    plot_products(g1, g2)\n",
    "    \n",
    "interact(interactive_gaussian,\n",
    "         m1=(5, 10., .5), m2=(10, 15, .5), \n",
    "         v1=(.1, 2, .1), v2=(.1, 2, .1));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First Kalman Filter\n",
    "\n",
    "Let's get back to concrete terms and implement a Kalman filter. We've implemented the `update()` and `predict()` functions. We just need to write some boilerplate code to simulate a dog and create the measurements. I've put a `DogSimulation` class in `kf_internal` to avoid getting distracted with that task. \n",
    "\n",
    "This boilerplate code sets up the problem by definine the means, variances, and generating the simulated dog movement."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "import kf_book.kf_internal as kf_internal\n",
    "from kf_book.kf_internal import DogSimulation\n",
    "\n",
    "np.random.seed(13)\n",
    "\n",
    "process_var = 1. # variance in the dog's movement\n",
    "sensor_var = 2. # variance in the sensor\n",
    "\n",
    "x = gaussian(0., 20.**2)  # dog's position, N(0, 20**2)\n",
    "velocity = 1\n",
    "dt = 1. # time step in seconds\n",
    "process_model = gaussian(velocity*dt, process_var) # displacement to add to x\n",
    "  \n",
    "# simulate dog and get measurements\n",
    "dog = DogSimulation(\n",
    "    x0=x.mean, \n",
    "    velocity=process_model.mean, \n",
    "    measurement_var=sensor_var, \n",
    "    process_var=process_model.var)\n",
    "\n",
    "# create list of measurements\n",
    "zs = [dog.move_and_sense() for _ in range(10)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here is the Kalman filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PREDICT\t\t\tUPDATE\n",
      "     x      var\t\t  z\t    x      var\n",
      "  1.000  401.000\t1.354\t  1.352   1.990\n",
      "  2.352    2.990\t1.882\t  2.070   1.198\n",
      "  3.070    2.198\t4.341\t  3.736   1.047\n",
      "  4.736    2.047\t7.156\t  5.960   1.012\n",
      "  6.960    2.012\t6.939\t  6.949   1.003\n",
      "  7.949    2.003\t6.844\t  7.396   1.001\n",
      "  8.396    2.001\t9.847\t  9.122   1.000\n",
      " 10.122    2.000\t12.553\t 11.338   1.000\n",
      " 12.338    2.000\t16.273\t 14.305   1.000\n",
      " 15.305    2.000\t14.800\t 15.053   1.000\n",
      "\n",
      "final estimate:            15.053\n",
      "actual final position:     14.838\n"
     ]
    }
   ],
   "source": [
    "print('PREDICT\\t\\t\\tUPDATE')\n",
    "print('     x      var\\t\\t  z\\t    x      var')\n",
    "\n",
    "# perform Kalman filter on measurement z\n",
    "for z in zs:    \n",
    "    prior = predict(x, process_model)\n",
    "    likelihood = gaussian(z, sensor_var)\n",
    "    x = update(prior, likelihood)\n",
    "\n",
    "    kf_internal.print_gh(prior, x, z)\n",
    "\n",
    "print()\n",
    "print('final estimate:        {:10.3f}'.format(x.mean))\n",
    "print('actual final position: {:10.3f}'.format(dog.x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is an animation of the filter. Predictions are plotted with a red triangle. After the prediction, the filter receives the next measurement, plotted as a black circle. The filter then forms an estimate part way between the two. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book import book_plots as book_plots\n",
    "from ipywidgets.widgets import IntSlider\n",
    "\n",
    "# save output in these lists for plotting\n",
    "xs, predictions = [], []\n",
    "\n",
    "process_model = gaussian(velocity, process_var) \n",
    "\n",
    "# perform Kalman filter\n",
    "x = gaussian(0., 20.**2)\n",
    "for z in zs:    \n",
    "    prior = predict(x, process_model)\n",
    "    likelihood = gaussian(z, sensor_var)\n",
    "    x = update(prior, likelihood)\n",
    "\n",
    "    # save results\n",
    "    predictions.append(prior.mean)\n",
    "    xs.append(x.mean)\n",
    "\n",
    "def plot_filter(step):\n",
    "    plt.cla()\n",
    "    step -= 1\n",
    "    i = step // 3 + 1\n",
    " \n",
    "    book_plots.plot_predictions(predictions[:i])    \n",
    "    if step % 3 == 0:\n",
    "        book_plots.plot_measurements(zs[:i-1])\n",
    "        book_plots.plot_filter(xs[:i-1])\n",
    "    elif step % 3 == 1:\n",
    "        book_plots.plot_measurements(zs[:i])\n",
    "        book_plots.plot_filter(xs[:i-1])\n",
    "    else:\n",
    "        book_plots.plot_measurements(zs[:i])\n",
    "        book_plots.plot_filter(xs[:i])\n",
    "\n",
    "    plt.xlim(-1, 10)\n",
    "    plt.ylim(0, 20)\n",
    "    plt.legend(loc=2);\n",
    "interact(plot_filter, step=IntSlider(value=1, min=1, max=len(predictions)*3));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I've plotted the prior (labeled *prediction*), the measurements, and the filter output. For each iteration of the loop we form a prior, take a measurement, form a likelihood from the measurement, and then incorporate the likelihood into the prior. \n",
    "\n",
    "If you look at the plot you can see that the filter estimate is always between the measurement and prediction. Recall that for the g-h filter we argued that the estimate must always be between the measurement and prior. It makes no sense to choose a value outside of the two values. If I predict I am at 10, but measure that I am at 9, it would be foolish to decide that I must be at 8, or 11."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Code Walkthrough\n",
    "\n",
    "Now let's walk through the code.\n",
    "\n",
    "```python\n",
    "process_var = 1.\n",
    "sensor_var = 2.\n",
    "```\n",
    " \n",
    "These are the variances for the process model and sensor. The meaning of sensor variance should be clear - it is how much variance there is in each measurement. The process variance is how much error there is in the process model. We are predicting that at each time step the dog moves forward one meter. Dogs rarely do what we expect, and things like hills or the whiff of a squirrel will change his progress. If this was a robot responding to digital commands the performance would be much better, and perhaps the variance would be $\\sigma^2=.05$. These are not 'magic' numbers; the square root of the variance is the distance error in meters. It is easy to get a Kalman filter working by just plugging in numbers, but if the numbers do not reflect reality the performance of the filter will be poor.\n",
    "\n",
    "```python\n",
    "x = gaussian(0., 20.**2)\n",
    "```\n",
    "\n",
    "This is the dog's initial position expressed as a Gaussian. The position is 0 meters, and the variance to 400 m$^2$, which is a standard deviation of 20 meters. You can think of this as saying \"I believe with 99.7% accuracy the position is 0 plus or minus 60 meters\". This is because with Gaussians ~99.7% of values fall within $\\pm3\\sigma$ of the mean.\n",
    "\n",
    "```python\n",
    "process_model = gaussian(velocity, process_var)\n",
    "```\n",
    "\n",
    "This is the process model - the description of how we think the dog moves. How do I know the velocity? Magic? Consider it a prediction, or perhaps we have a secondary velocity sensor. If this is a robot then this would be a control input to the robot. In subsequent chapters we will learn how to handle situations where you don't have a velocity sensor or input, so please accept this simplification for now.\n",
    "\n",
    "Next we initialize the simulation and create 10 measurements:\n",
    "\n",
    "```python\n",
    "dog = DogSimulation(\n",
    "    x0=x.mean, \n",
    "    velocity=process_model.mean, \n",
    "    measurement_var=sensor_var, \n",
    "    process_var=process_model.var)\n",
    "\n",
    "zs = [dog.move_and_sense() for _ in range(10)]\n",
    "```\n",
    "\n",
    "Now we enter our `predict() ... update()` loop.\n",
    "\n",
    "```python\n",
    "for z in zs:\n",
    "    prior = predict(x, process_model)\n",
    "    likelihood = gaussian(z, sensor_var)\n",
    "    x = update(prior, likelihood)\n",
    "```\n",
    "\n",
    "The first time through the loop `prior` is `(1.0, 401.0)`, as can be seen in the printed table. After the prediction, we believe that we are at 1.0, and the variance is now 401, up from 400. The variance got worse, which is what always happens during the prediction step because it involves a loss of information.\n",
    "\n",
    "Then we call the update function using `prior` as the current position.\n",
    "\n",
    "For this I get this as the result: `pos = (1.352, 1.990), z = 1.354`.\n",
    "\n",
    "What is happening? The dog is actually at 1.0 but the measured position is 1.354 due to sensor noise. That is pretty far from the predicted value of 1. The variance of the prior is 401 m$^2$. A large variance implies that confidence is very low, so the filter estimates the position to be very close to the measurement: 1.352.\n",
    "\n",
    "Now look at the variance: 1.99 m$^2$. It has dropped tremendously from 401 m$^2$. Why? Well, the RFID has a reasonably small variance of 2.0 m$^2$, so we trust it far more than the prior. However, the previous belief does contain a bit of useful information, so our variance is now slightly smaller than 2.0.\n",
    "\n",
    "Now the software loops, calling `predict()` and `update()` in turn. By the end the final estimated position is 15.053 vs the actual position of 14.838. The variance has converged to 1.0 m$^2$. \n",
    "\n",
    "Now look at the plot. The noisy measurements are plotted with black circles, and the filter results are drawn with a solid blue line. Both are quite noisy, but notice how much noisier the measurements are. I plotted the prediction (prior) with red triangles. The estimate always lies between the prior and the measurement. This is your first Kalman filter and it seems to work!\n",
    "\n",
    "The filtering is implemented in only a few lines of code. Most of the code is either initialization, storing of data, simulating the dog movement, and printing results. The code that performs the filtering is very succinct:\n",
    "\n",
    "```python\n",
    "prior = predict(x, process_model)\n",
    "likelihood = gaussian(z, sensor_var)\n",
    "x = update(prior, likelihood)\n",
    "```\n",
    "\n",
    "If we didn't use the `predict` and `update` functions the code might be:\n",
    "\n",
    "```python\n",
    "for z in zs:\n",
    "    # predict\n",
    "    dx = velocity*dt\n",
    "    pos = pos + dx\n",
    "    var = var + process_var\n",
    "\n",
    "    # update\n",
    "    pos  = (var*z + sensor_var*pos) / (var + sensor_var)\n",
    "    var = (var * sensor_var) / (var + sensor_var)\n",
    "```    \n",
    "\n",
    "Just 5 lines of very simple math implements the entire filter!\n",
    "\n",
    "In this example I only plotted 10 data points so the output from the print statements would not overwhelm us. Now let's look at the filter's performance with more data. The variance is plotted as a lightly shaded yellow area between dotted lines. I've increased the size of the process and sensor variance so they are easier to see on the chart - for a real Kalman filter of course you will not be randomly changing these values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t4.4502 2.6507 2.2871 2.1955 2.1712\n",
      "\t2.1647 2.1629 2.1625 2.1623 2.1623\n",
      "\t2.1623 2.1623 2.1623 2.1623 2.1623\n",
      "\t2.1623 2.1623 2.1623 2.1623 2.1623\n",
      "\t2.1623 2.1623 2.1623 2.1623 2.1623\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "process_var = 2.\n",
    "sensor_var = 4.5\n",
    "x = gaussian(0., 400.)\n",
    "process_model = gaussian(1., process_var)\n",
    "N = 25\n",
    "\n",
    "dog = DogSimulation(x.mean, process_model.mean, sensor_var, process_var)\n",
    "zs = [dog.move_and_sense() for _ in range(N)]\n",
    "\n",
    "xs, priors = np.zeros((N, 2)), np.zeros((N, 2))\n",
    "for i, z in enumerate(zs):\n",
    "    prior = predict(x, process_model)    \n",
    "    x = update(prior, gaussian(z, sensor_var))\n",
    "    priors[i] = prior\n",
    "    \n",
    "    xs[i] = x\n",
    "\n",
    "book_plots.plot_measurements(zs)\n",
    "book_plots.plot_filter(xs[:, 0], var=priors[:, 1])\n",
    "book_plots.plot_predictions(priors[:, 0])\n",
    "book_plots.show_legend()\n",
    "kf_internal.print_variance(xs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we can see that the variance converges to 2.1623 in 9 steps. This means that we have become very confident in our position estimate. It is equal to $\\sigma=1.47$ meters. Contrast this to the sensor's $\\sigma=2.12$ meters. The first few measurements are unsure due to our uncertainty of the initial position, but the filter quickly converges to an estimate with lower variance than the sensor!\n",
    "\n",
    "This code fully implements a Kalman filter. If you have tried to read the literature you are perhaps surprised, because this looks nothing like the endless pages of math in those books.  So long as we worry about *using* the equations rather than *deriving* them the topic is approachable. Moreover, I hope you'll agree that you have a decent intuitive grasp of what is happening. We represent beliefs with Gaussians, and they get better over time because more measurements means we have more data to work with."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Modify Variance Values\n",
    "\n",
    "Modify the values of `process_var` and `sensor_var` and note the effect on the filter and on the variance. Which has a larger effect on the variance convergence? For example, which results in a smaller variance:\n",
    "\n",
    "```python\n",
    "process_var = 40\n",
    "sensor_var = 2\n",
    "```\n",
    "    \n",
    "or:\n",
    "\n",
    "```python\n",
    "process_var = 2\n",
    "sensor_var = 40\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### KF Animation\n",
    "\n",
    "If you are reading this in a browser you will be able to see an animation of the filter tracking the dog directly below this sentence.\n",
    "<img src='animations/05_dog_track.gif'>\n",
    "\n",
    "The top plot shows the output of the filter in green, and the measurements with a dashed red line. The bottom plot shows the Gaussian at each step. \n",
    "\n",
    "When the track first starts you can see that the measurements varies quite a bit from the initial prediction. At this point the Gaussian probability is small (the curve is low and wide) so the filter does not trust its prediction. As a result, the filter adjusts its estimate a large amount. As the filter innovates you can see that as the Gaussian becomes taller, indicating greater certainty in the estimate, the filter's output becomes very close to a straight line. At `x = 15` and greater you can see that there is a large amount of noise in the measurement, but the filter does not react much to it compared to how much it changed for the first noisy measurement."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kalman Gain\n",
    "\n",
    "We see that the filter works. Now let's go back to the math to understand what is happening. The posterior $x$ is computed as the likelihood times the prior ($\\mathcal L \\bar x$), where both are Gaussians.\n",
    "\n",
    "Therefore the mean of the posterior is given by:\n",
    "\n",
    "$$\n",
    "\\mu=\\frac{\\bar\\sigma^2\\, \\mu_z + \\sigma_z^2 \\, \\bar\\mu} {\\bar\\sigma^2 + \\sigma_z^2}\n",
    "$$\n",
    "\n",
    "I use the subscript $z$ to denote the measurement. We can rewrite this as:\n",
    "\n",
    "$$\\mu = \\left( \\frac{\\bar\\sigma^2}{\\bar\\sigma^2 + \\sigma_z^2}\\right) \\mu_z + \\left(\\frac{\\sigma_z^2}{\\bar\\sigma^2 + \\sigma_z^2}\\right)\\bar\\mu$$\n",
    "\n",
    "In this form it is easy to see that we are scaling the measurement and the prior by weights: \n",
    "\n",
    "$$\\mu = W_1 \\mu_z + W_2 \\bar\\mu$$\n",
    "\n",
    "\n",
    "The weights sum to one because the denominator is a normalization term. We introduce a new term, $K=W_1$, giving us:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu &= K \\mu_z + (1-K) \\bar\\mu\\\\\n",
    "&= \\bar\\mu + K(\\mu_z - \\bar\\mu)\n",
    "\\end{aligned}$$\n",
    "\n",
    "where\n",
    "\n",
    "$$K = \\frac {\\bar\\sigma^2}{\\bar\\sigma^2 + \\sigma_z^2}$$\n",
    "\n",
    "$K$ is the *Kalman gain*. It's the crux of the Kalman filter. It is a scaling term that chooses a value partway between $\\mu_z$ and $\\bar\\mu$.\n",
    "\n",
    "Let's work a few examples. If the measurement is nine times more accurate than the prior, then $\\bar\\sigma^2 = 9\\sigma_z^2$, and\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu&=\\frac{9 \\sigma_z^2 \\mu_z + \\sigma_z^2\\, \\bar\\mu} {9 \\sigma_z^2 + \\sigma_\\mathtt{z}^2} \\\\\n",
    "&= \\left(\\frac{9}{10}\\right) \\mu_z + \\left(\\frac{1}{10}\\right) \\bar\\mu\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Hence $K = \\frac 9 {10}$, and to form the posterior we take nine tenths of the measurement and one tenth of the prior. \n",
    "\n",
    "If the measurement and prior are equally accurate, then $\\bar\\sigma^2 = \\sigma_z^2$ and\n",
    "\n",
    "$$\\begin{gathered}\n",
    "\\mu=\\frac{\\sigma_z^2\\,  (\\bar\\mu + \\mu_z)}{2\\sigma_\\mathtt{z}^2} \\\\\n",
    "= \\left(\\frac{1}{2}\\right)\\bar\\mu + \\left(\\frac{1}{2}\\right)\\mu_z\n",
    "\\end{gathered}$$\n",
    "\n",
    "which is the average of the two means. It makes intuitive sense to take the average of two equally accurate values.\n",
    "\n",
    "We can also express the variance in terms of the Kalman gain:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\sigma^2 &= \\frac{\\bar\\sigma^2 \\sigma_z^2 } {\\bar\\sigma^2 + \\sigma_z^2} \\\\\n",
    "&= K\\sigma_z^2 \\\\\n",
    "&= (1-K)\\bar\\sigma^2 \n",
    "\\end{aligned}$$\n",
    "\n",
    "We can understand this by looking at this chart:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1100x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.book_plots as book_plots\n",
    "book_plots.show_residual_chart()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Kalman gain $K$ is a scale factor that chooses a value along the residual. This leads to an alternative but equivalent implementation for `update()` and `predict()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update(prior, measurement):\n",
    "    x, P = prior        # mean and variance of prior\n",
    "    z, R = measurement  # mean and variance of measurement\n",
    "    \n",
    "    y = z - x        # residual\n",
    "    K = P / (P + R)  # Kalman gain\n",
    "\n",
    "    x = x + K*y      # posterior\n",
    "    P = (1 - K) * P  # posterior variance\n",
    "    return gaussian(x, P)\n",
    "\n",
    "def predict(posterior, movement):\n",
    "    x, P = posterior # mean and variance of posterior\n",
    "    dx, Q = movement # mean and variance of movement\n",
    "    x = x + dx\n",
    "    P = P + Q\n",
    "    return gaussian(x, P)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why have I written it in this form, and why have I chosen these terrible variable names? A few related reasons. A majority of books and papers present the Kalman filter in this form. My derivation of the filter from Bayesian principles is not unknown, but it is not used nearly as often. Alternative derivations naturally lead to this form of the equations. Also, the equations for the multivariate Kalman filter look almost exactly like these equations. So, you need to learn and understand them. \n",
    "\n",
    "Where do the names `z`, `P`, `Q`, and `R` come from? You will see them used in the rest of this book. In the literature $R$ is nearly universally used for the measurement noise, $Q$ for the process noise and $P$ for the variance of the state. Using $z$ for the measurement is common, albeit not universal. Almost every book and paper you read will use these variable names. Get used to them.\n",
    "\n",
    "This is also a powerful way to think about filtering. This is the way we reasoned about the g-h filter. It emphasizes taking the residual $y = \\mu_z - \\bar\\mu$, finding the Kalman gain as a ratio of our uncertainty in the prior and measurement $K = P/(P+R)$, and computing the posterior by adding $Ky$ to the prior. \n",
    "\n",
    "The Bayesian aspect is obscured in this form, as is the fact that we are multiplying the likelihood by the prior. Both viewpoints are equivalent because the math is identical. I chose the Bayesian approach because I think it give a much more intuitive yet deep understanding of the probabilistic reasoning. This alternative form using $K$ gives a deep understanding of what is known as the *orthogonal projection* approach. Dr. Kalman used that derivation, not Bayesian reasoning, when he invented this filter. You will understand more about this in the next few chapters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Full Description of the Algorithm\n",
    "\n",
    "Recall the diagram we used for the g-h filter:\n",
    "<img src=\"./figs/residual_chart.png\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We've been doing the same thing in this chapter. The Kalman filter makes a prediction, takes a measurement, and then forms a new estimate somewhere between the two.\n",
    "\n",
    "**This is extremely important to understand**: Every filter in this book implements the same algorithm, just with different mathematical details. The math can become challenging in later chapters, but the idea is easy to understand.\n",
    "\n",
    "It is important to see past the details of the equations of a specific filter and understand *what* the equations are calculating and *why*. There are a tremendous number of filters. They all use different math to implement the same algorithm. The choice of math affects the quality of results and what problems can be represented, but not the underlying ideas.\n",
    "\n",
    "Here is the generic algorithm:\n",
    "\n",
    "**Initialization**\n",
    "\n",
    "    1. Initialize the state of the filter\n",
    "    2. Initialize our belief in the state\n",
    "    \n",
    "**Predict**\n",
    "\n",
    "    1. Use system behavior to predict state at the next time step\n",
    "    2. Adjust belief to account for the uncertainty in prediction\n",
    "    \n",
    "**Update**\n",
    "\n",
    "    1. Get a measurement and associated belief about its accuracy\n",
    "    2. Compute residual between estimated state and measurement\n",
    "    3. Compute scaling factor based on whether the measurement\n",
    "    or prediction is more accurate\n",
    "    4. set state between the prediction and measurement based \n",
    "    on scaling factor\n",
    "    5. update belief in the state based on how certain we are \n",
    "    in the measurement\n",
    "\n",
    "You will be hard pressed to find a Bayesian filter algorithm that does not fit into this form. Some filters will not include some aspects, such as error in the prediction, and others will have very complicated methods of computation, but this is what they all do. \n",
    "\n",
    "The equations for the univariate Kalman filter are:\n",
    "\n",
    "<u>Predict</u>\n",
    "\n",
    "$\\begin{array}{|l|l|l|}\n",
    "\\hline\n",
    "\\text{Equation} & \\text{Implementation} & \\text{Kalman Form}\\\\\n",
    "\\hline\n",
    " \\bar x = x + f_x & \\bar\\mu = \\mu + \\mu_{f_x} & \\bar x = x + dx\\\\\n",
    "& \\bar\\sigma^2 = \\sigma^2 + \\sigma_{f_x}^2 & \\bar P = P + Q\\\\\n",
    "\\hline\n",
    "\\end{array}$\n",
    "\n",
    "\n",
    "<u>Update</u>\n",
    "\n",
    "$\\begin{array}{|l|l|l|}\n",
    "\\hline\n",
    "\\text{Equation} & \\text{Implementation}& \\text{Kalman Form}\\\\\n",
    "\\hline\n",
    " x = \\| \\mathcal L\\bar x\\| & y = z - \\bar\\mu & y = z - \\bar x\\\\\n",
    " & K = \\frac {\\bar\\sigma^2} {\\bar\\sigma^2 + \\sigma_z^2} & K = \\frac {\\bar P}{\\bar P+R}\\\\\n",
    " & \\mu = \\bar \\mu + Ky & x = \\bar x + Ky\\\\\n",
    " & \\sigma^2 = \\frac {\\bar\\sigma^2 \\sigma_z^2} {\\bar\\sigma^2 + \\sigma_z^2} & P = (1-K)\\bar P\\\\\n",
    "\\hline\n",
    "\\end{array}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison with g-h and discrete Bayes Filters\n",
    "\n",
    "Now is a good time to understand the differences between these three filters in terms of how we model errors. For the g-h filter we modeled our measurements as shown in this graph:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "book_plots.plot_errorbars([(160, 3, 'A'), (170, 9, 'B')], xlims=(150, 180))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sensor A returned a measurement of 160, and sensor B returned 170. The bars are [*error bars*](https://en.wikipedia.org/wiki/Error_bar) - they illustrate the possible range of error for the measurement. Hence, the actual value that A is measuring can be between 157 to 163, and B is measuring a value between 161 to 179.\n",
    "\n",
    "I did not define it at the time, but this is a [*uniform distribution*](https://en.wikipedia.org/wiki/Uniform_distribution_(continuous&#41;). A uniform distribution assigns equal probability to any event in the range. According to this model it is equally likely for sensor A to read 157, 160, or 163. Any value outside these ranges have 0 probability. \n",
    "\n",
    "We can model this situation with Gaussians. I'll use $\\mathcal{N}(160, 3^2)$ for sensor A, and $\\mathcal{N}(170, 9^2)$ for sensor B. I've plotted these below with the uniform distribution error bars for comparison."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.arange(145, 190, 0.1)\n",
    "ys = [stats.gaussian(x, 160, 3**2) for x in xs]\n",
    "plt.plot(xs, ys, label='A', color='g')\n",
    "\n",
    "ys = [stats.gaussian(x, 170, 9**2) for x in xs]\n",
    "plt.plot(xs, ys, label='B', color='b')\n",
    "plt.legend();\n",
    "plt.errorbar(160, [0.04], xerr=[3], fmt='o', color='g', capthick=2, capsize=10)    \n",
    "plt.errorbar(170, [0.015], xerr=[9], fmt='o', color='b', capthick=2, capsize=10);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using a uniform or Gaussian distribution is a modeling choice. Neither exactly describes reality. In most cases the Gaussian distribution is more realistic. Most sensors are more likely to return readings near the value being measured, and unlikely to return a reading far from that value. The Gaussian models this tendency. In contrast the uniform distribution assumes that any measurement within a range is equally likely.\n",
    "\n",
    "Now let's see the *discrete distribution* used in the discrete Bayes filter. This model divides the range of possible values into discrete ranges and assigns a probability to each bucket. This assignment can be entirely arbitrary so long as the probabilities sum to one.\n",
    "\n",
    "Let's plot the data for one sensor using a uniform distribution, a Gaussian distribution, and a discrete distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from random import random\n",
    "xs = np.arange(145, 190, 0.1)\n",
    "ys = [stats.gaussian(x, 160, 3**2) for x in xs]\n",
    "belief = np.array([random() for _ in range(40)])\n",
    "belief = belief / sum(belief)\n",
    "\n",
    "x = np.linspace(155, 165, len(belief))\n",
    "plt.gca().bar(x, belief, width=0.2)\n",
    "plt.plot(xs, ys, label='A', color='g')\n",
    "plt.errorbar(160, [0.04], xerr=[3], fmt='o', color='k', capthick=2, capsize=10)    \n",
    "plt.xlim(150, 170);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I used random numbers to form the discrete distribution to illustrate that it can model any arbitrary probability distribution. This provides it with enormous power. With enough discrete buckets we can model the error characteristics of any sensor no matter how complicated. But with this power comes mathematical intractability. Multiplying or adding Gaussians takes two lines of math, and the result is another Gaussian. This regularity allows us to perform powerful analysis on the performance and behavior of our filters. Multiplying or adding a discrete distribution requires looping over the data, and we have no easy way to characterize the result.  Analyzing the performance characteristics of a filter based on a discrete distribution is extremely difficult to impossible.\n",
    "\n",
    "There is no 'correct' choice here. Later in the book we will introduce the *particle filter* which uses a discrete distribution. It is an extremely powerful technique because it can handle arbitrarily complex situations. This comes at the cost of slow performance, and resistance to analytical analysis. \n",
    "\n",
    "For now we will ignore these matters and return to using Gaussians for the next several chapters. As we progress you will learn the strengths and limitations of using Gaussians in our mathematical models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction to Designing a Filter\n",
    "\n",
    "So far we have developed filters for a position sensor. We are used to this problem by now, and may feel ill-equipped to implement a Kalman filter for a different problem. To be honest, there is still quite a bit of information missing from this presentation. Following chapters will fill in the gaps. Still, let's get a feel for it by designing and implementing a Kalman filter for a thermometer. The sensor for the thermometer outputs a voltage that corresponds to the temperature that is being measured. We have read the manufacturer's specifications for the sensor, and it tells us that the sensor exhibits white noise with a standard deviation of 0.13 volts.\n",
    "\n",
    "We can simulate the temperature sensor measurement with this function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def volt(voltage, std):\n",
    "    return voltage + (randn() * std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we need to write the Kalman filter processing loop. As with our previous problem, we need to perform a cycle of predicting and updating. The sensing step probably seems clear - call `volt()` to get the measurement, pass the result into `update()` method, but what about the predict step? We do not have a sensor to detect 'movement' in the voltage, and for any small duration we expect the voltage to remain constant. How shall we handle this?\n",
    "\n",
    "As always, we will trust in the math. We have no known movement, so we will set that to zero. However, that means that we are predicting that the temperature will never change. If that is true, then over time we should become extremely confident in our results. Once the filter has enough measurements it will become very confident that it can predict the subsequent temperatures, and this will lead it to ignoring measurements that result due to an actual temperature change. This is called a *smug* filter, and is something you want to avoid. So we will add a bit of error to our prediction step to tell the filter not to discount changes in voltage over time. In the code below I set `process_var = .05**2`. This is the expected variance in the change of voltage over each time step. I chose this value merely to be able to show how the variance changes through the update and predict steps. For a real sensor you would set this value for the actual amount of change you expect. For example, this would be an extremely small number if it is a thermometer for ambient air temperature in a house, and a high number if this is a thermocouple in a chemical reaction chamber. We will say more about selecting the actual value in the later chapters.\n",
    "\n",
    "Let's see what happens. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variance converges to 0.005\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temp_change = 0\n",
    "voltage_std = .13\n",
    "process_var = .05**2\n",
    "actual_voltage = 16.3\n",
    "\n",
    "x = gaussian(25., 1000.) # initial state\n",
    "process_model = gaussian(0., process_var)\n",
    "\n",
    "N = 50\n",
    "zs = [volt(actual_voltage, voltage_std) for i in range(N)]\n",
    "ps = []\n",
    "estimates = []\n",
    "\n",
    "for z in zs:\n",
    "    prior = predict(x, process_model)\n",
    "    x = update(prior, gaussian(z, voltage_std**2))\n",
    "\n",
    "    # save for latter plotting\n",
    "    estimates.append(x.mean)\n",
    "    ps.append(x.var)\n",
    "\n",
    "# plot the filter output and the variance\n",
    "book_plots.plot_measurements(zs)\n",
    "book_plots.plot_filter(estimates, var=np.array(ps))\n",
    "book_plots.show_legend()\n",
    "plt.ylim(16, 17)\n",
    "book_plots.set_labels(x='step', y='volts')\n",
    "plt.show()\n",
    "    \n",
    "plt.plot(ps)\n",
    "plt.title('Variance')\n",
    "print('Variance converges to {:.3f}'.format(ps[-1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first plot shows the individual sensor measurements vs the filter output. Despite a lot of noise in the sensor we quickly discover the approximate voltage of the sensor. In the run I just completed at the time of authorship, the last voltage output from the filter is $16.213$, which is quite close to the $16.4$ used by the `volt()` function. On other runs I have gotten larger and smaller results.\n",
    "\n",
    "Spec sheets are what they sound like - specifications. Any individual sensor will exhibit different performance based on normal manufacturing variations. Values are often maximums - the spec is a guarantee that the performance will be at least that good. If you buy an expensive piece of equipment it often comes with a sheet of paper displaying the test results of your specific item; this is usually very trustworthy. On the other hand, if this is a cheap sensor it is likely it received little to no testing prior to being sold. Manufacturers typically test a small subset of their output to verify that a sample falls within the desired performance range. If you have a critical application you will need to read the specification sheet carefully to figure out exactly what they mean by their ranges. Do they guarantee their number is a maximum, or is it, say, the $3\\sigma$ error rate? Is every item tested? Is the variance normal, or some other distribution? Finally, manufacturing is not perfect. Your part might be defective and not match the performance on the sheet.\n",
    "\n",
    "For example, I am looking at a data sheet for an airflow sensor. There is a field *Repeatability*, with the value $\\pm 0.50\\%$. Is this a Gaussian? Is there a bias? For example, perhaps the repeatability is nearly $0.0\\%$ at low temperatures, and always nearly  $+0.50\\%$ at high temperatures. Data sheets for electrical components often contain a section of \"Typical Performance Characteristics\". These are used to capture information that cannot be easily conveyed in a table. For example, I am looking at a chart showing output voltage vs current for a LM555 timer. There are three curves showing the performance at different temperatures. The response is ideally linear, but all three lines are curved. This clarifies that errors in voltage outputs are probably not Gaussian - in this chip's case higher temperatures lead to lower voltage output, and the voltage output is quite nonlinear if the input current is very high. \n",
    "\n",
    "As you might guess, modeling the performance of your sensors is one of the harder parts of creating a Kalman filter that performs well. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Animation\n",
    "\n",
    "For those reading this in a browser here is an animation showing the filter working. If you are not using a browser you can see this plot at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/animations/05_volt_animate.gif."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='animations/05_volt_animate.gif'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The top plot in the animation draws a green line for the predicted next voltage, then a red '+' for the actual measurement, draws a light red line to show the residual, and then draws a blue line to the filter's output. You can see that when the filter starts the corrections made are quite large, but after only a few updates the filter only adjusts its output by a small amount even when the measurement is far from it. \n",
    "\n",
    "The lower plot shows the Gaussian belief as the filter innovates. When the filter starts the Gaussian curve is centered over 25, our initial guess for the voltage, and is very wide and short due to our initial uncertainty. But as the filter innovates, the Gaussian quickly moves to about 16.0 and becomes taller, reflecting the growing confidence that the filter has in it's estimate for the voltage. You will also note that the Gaussian's height bounces up and down a little bit. If you watch closely you will see that the Gaussian becomes a bit shorter and more spread out during the prediction step, and becomes taller and narrower as the filter incorporates another measurement.\n",
    "\n",
    "Think of this animation in terms of the g-h filter. At each step the g-h filter makes a prediction, takes a measurement, computes the residual (the difference between the prediction and the measurement), and then selects a point on the residual line based on the scaling factor $g$. The Kalman filter is doing exactly the same thing, except that the scaling factor $g$ varies with time. As the filter becomes more confident in its state the scaling factor favors the filter's prediction over the measurement. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Extreme Amounts of Noise\n",
    "\n",
    "With the dog filter I didn't put a lot of noise in the signal, and I 'guessed' that the dog was at position 0. How does the filter perform in real world conditions? I will start by injecting more noise in the RFID sensor while leaving the process variance at 2 m$^2$.  I will inject an extreme amount of noise - noise that apparently swamps the actual measurement. What does your intuition say about the filter's performance if the sensor has a standard deviation of 300 meters? In other words, an actual position of 1.0 m might be reported as 287.9 m, or -589.6 m, or any other number in roughly that range. Think about it before you scroll down."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sensor_var = 300.**2\n",
    "process_var = 2.\n",
    "process_model = gaussian(1., process_var)\n",
    "pos = gaussian(0., 500.)\n",
    "N = 1000\n",
    "dog = DogSimulation(pos.mean, 1., sensor_var, process_var)\n",
    "zs = [dog.move_and_sense() for _ in range(N)]\n",
    "ps = []\n",
    "\n",
    "for i in range(N):\n",
    "    prior = predict(pos, process_model)    \n",
    "    pos = update(prior, gaussian(zs[i], sensor_var))\n",
    "    ps.append(pos.mean)\n",
    "\n",
    "book_plots.plot_measurements(zs, lw=1)\n",
    "book_plots.plot_filter(ps)\n",
    "plt.legend(loc=4);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example the noise is extreme yet the filter still outputs a nearly straight line! This is an astonishing result! What do you think might be the cause of this performance? \n",
    "\n",
    "We get a nearly straight line because our process error is small. A small process error tells the filter that the prediction is very trustworthy, and the prediction is a straight line, so the filter outputs a nearly straight line. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Incorrect Process Variance\n",
    "\n",
    "That last filter looks fantastic! Why wouldn't we set the process variance very low, as it guarantees the result will be straight and smooth?\n",
    "\n",
    "The process variance tells the filter how much the system is changing over time. If you lie to the filter by setting this number artificially low the filter will not be able to react to changes that are happening. Let's have the dog increase his velocity by a small amount at each time step and see how the filter performs with a process variance of 0.001 m$^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uLk5db/Xq1WoSZetktjohhBBCCCFEmbm6urJ9+3bq1KkDgF6v5+DBg5rEaPr06UycOLGiNvG2k+RICCGEEEKIu0xCQgILFiwgODgYT09PgoKCmDlzJh4eHoSGhjJr1izq1asHFA1969u3Lz///DNLly61eAPYqkKG1ZWD9PR0jEYjdnZ2eHp6Vth2iMpJ4kdYQ+JHWEPiR1hD4sf2nThxghUrVvDTTz9x7do1/Pz8GD16NO3bt2fMmDFkZGSY1XFxcWHjxo0MHDgQRVHIy8vD0dGxXK8NupOxI1N5V4DY2Fh1OkLpHERZSfwIa0j8CGtI/AhrSPzYtk8++YTnnntOc7PW6OhoFixYgE6no/j8iJ2dHYGBgcTGxqLX68nNzWXYsGEcPnyYVq1a4eLiUu7bZsuxI8PqhBBCCCGEqEJ+/fVXnn32WTUxcnNzIyQkRD1bUpwYdevWjZiYGKKiorh8+TJDhw4FID8/nw8++KBiNr6CyZmjcuDn56eeGhSirCR+hDUkfoQ1JH6ENSR+bNeSJUvUx9OmTWPRokW4urpy8eJFmjRpQmFhIQA9evSgfv36ANSpU4evvvqKvXv3kpGRwcaNG1mzZg2Ojo7lvn22HDtyzZEQQgghhBBVREJCAj4+PgA0adKEiIgIzRkj0+/M7dq149ixY5r6AwYM4JdffgEgMTFRnbmuspKpvIUQQgghhLhLJSQkqI+7deumSQJ0Oh01a9ZUn1+5ckVT12AwEB4erq5bo0aN27y1tkeSIyGEEEIIIaoI0wkOTpw4YVbeq1cv9XF+fj4GgwEoOqu0ZMkSYmNjAejTp89tmYzB1klyJIQQQgghRBUREBBAu3btADh69CgrV65UJ2DIyckhNTVVXTc9PZ2goCCeeuopmjdvzty5c9Wy6dOn39kNtxFyzVE5CA0NVacjbNOmTYVth6icJH6ENSR+hDUkfoQ1JH5s14YNGxg1apT6vGnTpjRv3pw//viDtLS0m9Z/6623NIlSebuTsSPXHAkhhBBCCHEXe/LJJ5kxY4b6/Ny5c2zdulVNjJydnVm8eDF9+/bV1OvatStbt269rYmRrZOpvMtB9erV0ev1ODjI4RRlJ/EjrCHxI6wh8SOsIfFju3Q6He+//z73338/y5Yt448//gDA0dGRxx9/nJkzZ9KqVSveeOMNUlNTSUlJwdPT847NTGfLsSPD6oQQQgghhKjCMjIyuHbtGt7e3nfdJAtlzR1sL10TQgghhBBClJuaNWtqpvAW1yenW4QQQgghhBACSY6EEEIIIYQQApBhdeUiNjZWvagsICCgojdHVDISP8IaEj/CGhI/whoSP+JW2XLsSHJUDtLT09W52m3tDRa2T+JHWEPiR1hD4kdYQ+LHNqSkpLB27Vr2799PQUEBzZo1Y+LEibRt27aiN+26bDl2JDkSQgghhBDCRimKwu+//86nn37KsWPH0Ol0dOzYkcmTJxMbG8szzzxDbm6uuv6ePXtYtWoVY8eOZfXq1Tg6Olbg1lc+MpV3OcjPz0dRFHQ6HU5OThW2HaJykvgR1pD4EdaQ+BHWkPi5NYqikJubi7Oz802/vxYWFjJu3Dg2bNhwS681btw4vvjii1uqezvdydgpa+4gEzKUAycnJ5ydnaVjELdE4kdYQ+JHWEPiR1hD4qdsIiMjmTp1Kp6enri6ulK9enUef/xx/v777+vWeeWVVzSJkYuLC87OzmbrjRo1itOnT5OUlMTy5cvVdb788kvCwsLKf2esZMuxI8mREEIIIYQQt9Gvv/5K27Zt+fjjj8nMzASKzp58//33dOnShRUrVpjViY+P5+OPPwbA0dGRzz//nIyMDDIyMnj11VfV9XQ6HR9++CHNmzendu3aTJs2jUWLFqnla9euvc17V7VIciSEEEIIIcRtcunSJQYPHkxOTg4A1atXp2vXrnh7e6vrTJs2jT179hAeHs6WLVvYtWsXa9euRa/XA0VnkCZMmICjoyNOTk6EhISodRVF4fvvv9e85vDhw9XH586du527V+WUKTn67bffmDBhAsHBwbi6uuLn58egQYM4evSoZr1x48ah0+nM/oKDg83aLCwsZMGCBQQGBuLk5ERwcDArV660bq/usKtXr5KZmcnVq1crelNEJSTxI6wh8SOsIfEjrCHxUzqrVq0iOzsbgIEDB3L58mUOHDjA5cuXNWeAhg4dSsuWLRk8eDD9+vVj/vz5aln//v01bZYcWhcbG6t5npiYeN11bYEtx06ZZqv7+OOPSU1NZdq0abRo0YLk5GSWLl1Kp06d2LVrFz179lTXdXFx4bffftPUd3FxMWtz6tSprFu3joULF9KxY0d27drFtGnTuHbtGrNmzbrF3bqzLly4oE5H2KZNm4reHFHJSPwIa0j8CGtI/AhrSPyUzqZNmwBwcHBgzZo11KxZEygaKrdkyRK++uorkpKSzBIFg8GgPj5+/Dhdu3ZVnz/wwAPY2dlhNBoB1H+L65kOq+vRo0e575O1bDl2ypQcrVq1ijp16miW9evXj6CgIBYvXqxJjuzs7OjUqdMN2wsPD+fzzz9n0aJFaubco0cPUlNTefvtt5kyZQpeXl5l2UQhhBBCCCFuK4PBQFRUFLm5uTRo0EBNeCxJTk4GoFGjRtSrV09TlpGRQVpamvq8adOmPPnkk1y5coWvvvqK/Px8AObOncuIESM038OdnJzUKbz/+9//UlBQgLe3N9999x2hoaEAuLu7M3r06PLZ6btEmZKjkokRgJubGy1atODSpUtlfvEtW7agKArjx4/XLB8/fjxr1qxh586djBw5sszt3ml169bFYDBgb29f0ZsiKiGJH2ENiR9hDYkfYY27MX4KCgpYvnw5q1atUoeyOTg4MHToUObOnau5FqiYt7c3165dIzo6msTEROrWrauWmV5XBPD3339Tq1YtoOg6o+bNm2M0Grl69SqNGzdm8ODBGAwGtmzZorm30dWrV/nPf/6jeV17e3u+/PJLPDw8yvUYlAdbjh2rbwKbmZnJsWPHNGeNAHJzc6lXrx7Jycn4+Pjw2GOP8dZbb2nOBIWFhVG7dm2zLLp169ZqeWmEh4fToEED3N3d1WX5+flEREQA4OnpaXb33cjISPXCuJKn81JSUrh8+TIAAQEBeHp6qmUGg0Hdrho1apj9CnDhwgX1tGhISAgODv93iDMyMrh48SIAvr6+1K5dW/O6J0+eRFEUXFxcaNq0qabs0qVL6i8LzZo104wfzcrKIioqCihKYH18fDR1T58+rZ66bNGihabsypUrJCUlAdC4cWPc3NzUsry8PM6ePQuAl5cX9evX19Q9d+4cubm56HQ69T0rlpycTHx8PIDZLyp6vZ7w8HCg6BeNhg0baupGR0er89G3bNlS88FJT09XOyM/Pz/NxYyA+ktJ9erVadKkiaYsNjaW9PR0AIKDgzXTR169epULFy4ARR/YkjEZHh6OXq9Xr4szFR8fr/4qFBQUhKurq1qWk5NDZGQkALVq1cLf319T9+zZs+Tl5WFvb0/Lli01ZUlJSVy5cgWAwMBATedWUFDAmTNnAPDw8CAwMFBTNyoqiqysLABatWqlmcs/NTWVuLg4APz9/dVOGIpOy586dQoo+uGjcePGmnZjYmLUWXaaN2+uubFcZmYmMTExAPj4+Jj9mBIWFobBYMDZ2ZlmzZppyuLi4khNTQWgSZMmVK9eXS3Lzs7m/PnzANSuXRtfX19N3YiICPLz83FwcDD7TykhIUEdd92wYcMK6yNMlXcfURyrly5dUuNf+gjpI6SP+D93ex9R7HZ8j6hXrx5XrlwhMTGRxMTEKt9HREZGMmbMGA4dOqRZrtfr+e6779i2bRsfffQRAwYM0PQRw4cP591330Wv1/Pkk0+yefNmPDw8KCgoUGejg6Lvv6bvS9OmTRk2bBgbN24Eit6ndevWaV67Xr16BAcH8+eff2qSrPbt2/PGG2/QqFEjQkND7+o+ovhzWlpWJ0fPPfcc2dnZzJ49W13Wpk0b2rRpo3bk+/fvZ9myZezdu5fDhw+rH5zU1FSLw+ZcXV1xdHRUd/Jm9Ho9Je9lqygKhYWFarmlOsXlJRmNRrXMdAxnsdK2W3KbTNs1HUdq2q6iKFSrVs2szGAwWNXu9fbVtN2S+2p6DC21W7yvOp3ultu1lffmZvtaWFiIXq+3eMOwG703pWm3sLDQYtmN2i2ue7N2LSntMbRU33SbSrrZvhYUFGA0Gi3+SlQex9DSMSptu7YSh9JHmLdrK++N9BHm7UofIX1EyXZtsY9QFIXjx48TFxdHjRo1aNKkyS2/N//5z380iVHv3r3x9fVlx44dJCcnk5ubyyuvvEKXLl00ydHUqVNZsWIFubm57Nu3Dz8/Pzp06MDp06fVH04ARo8ebfbemP7YUq1aNXX73NzcGD16NE888QSurq6kpaWRnZ1Nfn4+wcHBtG3blitXrqhJ+t3eR5SFVcnR3Llz+eabb1i5ciXt27dXl0+fPl2zXu/evWnXrh3Dhg1jzZo1mnJLH4jSlJlycHAwW1en06mdg+mvLqZ1LHUeUHS9VHGZpf/oSttuyW0ybdfSG1utWjUURbHYrr29vVXtmv57vXZL7qvpMbTUbvG+WnqfStuurbw3N9vX4v282TG8lXavd1r5Ru0W171Ru9Yew5vta0k321dHR0cMBsNtOYZGo7HMnxtbjEPpI8zbtZX3RvoI83alj5A+omS7ttZH7N69m3HjxqlnmaDoDNaQIUOYPHlymd6bnJwc9WasDg4O7Ny5k4ceeggoOns5YMAADhw4QEZGBlu3buW1115T6wYEBLB8+XKmTZtGXl4e2dnZ7N+/3+y1s7OzNcdCURS2bt2qPv/uu++oX7++OgO0q6urenbZ19fX7Oyy9BFYfH5Tyi2aP3++AiiLFi0q1foGg0FxdXVVhg8fri4bMWKEUrt2bbN1s7KyFEB54403LLaTkZGh+TMYDLe6G0IIIYQQoopZtmyZAlz3r2/fvkp+fn6p29u9e7da96mnnjIrP3LkiFo+YMAAi22cPXtWmTJliuLu7q4AiqOjo9K9e3e1nru7u7J27VolOztbOX/+vPLUU0+pZe3atVOMRuMtH4+7WVlzh1u6CeyCBQuYP38+8+fPL9N024qiaDLMVq1akZycTEJCgma94rGKJTNgWxUeHs6JEyc0v0wIUVoSP8IaEj/CGhI/whq2Gj/h4eG8/PLL6vPOnTszf/58RowYoZ6R2LVrF8uXLy91m8XXMEHRtTIlmV6Ldb179zRt2pSPP/6YjIwMrl27Rk5ODvv27ePRRx9V602YMAFXV1eCgoJYv349UHTmY/HixWU/A2LDbDV2oIw3gQVYuHAh8+fPZ86cObz55pulrvf999+Tk5Ojmd570KBB6HQ6vvrqK826X375JS4uLvTr16+sm1ch9Hq9+idEWUn8CGtI/AhrSPwIa9hq/KxatUq9zmTGjBn8/fffvPnmm/zvf/9j7969mvUsXdtiiZ+fn/p49+7dZuU7d+5UH5ecWKUknU6Hm5sb9vb26HQ6NmzYoCZIJbm4uLB+/fpK8524tGw1dqCM1xwtXbqUefPm0a9fPx5++GGz2To6derExYsXGTlyJCNGjCAoKAidTsf+/ftZvnw5ISEhTJw4UV0/JCSEp59+mjfffBN7e3s6duzI7t27Wb16NW+//XaluceRk5OTZvylEGUh8SOsIfEjrCHxI6xhq/GzZ88eoOgalTlz5mjKunfvTu/evfn111+JjY3l/PnzZjOfWdKxY0eaNm3KuXPn2L9/P7Nnz+b111/Hzc2NAwcO8OKLL6rrDhs2jG3btpGeno6vry89evS44TFydXVly5Yt/PXXX3z++edERkbi7OxMz549mThxosVb6VR2tho7ADpFKf0UDj169LB4AVkxRVFIT0/n6aef5vjx4yQmJmIwGGjQoAGDBw9m1qxZZnOtFxYWsmjRIr744gsSEhIIDAzk+eef54UXXrD4GkajUXNqE4qmwrR0QZgQQgghhLi7+Pv7c/nyZWrVqkVycrLZcLQJEybwxRdfADBq1CjS0tJwdHSke/fujB079ro/zm/YsIFRo0apz52cnHB3d9fMOOfj40NWVpbmuzn11FEAACAASURBVKqPjw8zZ87kxRdfrFJD4yqLsuYOZUqObIEkR0IIIYQQ4npMf8zfv38/3bp1U8tyc3MJDAxU799WkqurK2vWrOHJJ5+0WP7ee+8xc+ZMi2U1atQw+45q6qWXXmLZsmWl3Q1RTsqaO9jPnz9//h3YrnKjKAoFBQWaZU5OTpKJCyGEEEII7Ozs2LJlCwB79+4lKCiIRo0acfr0aZ5++mlOnjx53bqFhYX8+OOPdOjQwexGugBdunRhyJAhGAwGMjMzcXFxoV27djzwwAMcOXIEKJrCety4cYwfPx4nJyf1ZsKHDh2iR48eZjdcFbdXWXMHOXMkhBBCCCEqtcuXL5OamkqdOnXw9PSkU6dOnDhx4oZ1HB0defvttxk5ciSpqaksWbKEb7/9FiiafS4sLKxUP74rikKzZs2IjIwE4LfffuPBBx9Uy1esWMG0adMAGDp0KN9///2t7qa4BTKsrgLEx8erN+nz9fWtsO0QlZPEj7CGxI+whsSPsIYtxM8PP/zA+++/zz///KMu6969O5MmTWLZsmXq2RxL3nnnHc0QOUVR6Ny5s9rW33//TefOnW+6DfHx8epsdvfffz9//fWXprygoIB69eqRnp6Ot7e35hqlu9WdjJ2y5g5yuqUcJCcnk5iYKMEubonEj7CGxI+whsSPsEZFx8+bb77JsGHDNIkRFF1nNGrUKEaOHMm2bdsYNmwYnTp1ok+fPpp7aJa8rkin0zFixAj1+aRJk6hVqxZeXl706tWLTZs2WZz6Oz8/X31cu3Zts3JHR0dq1qxptu7drKJj50YkORJCCCGEEJXKzp07eeutt9TnrVq1YsKECZrrhF5++WXq1q3Lpk2bOHjwILt27SI4OFgtt/TFPCEhQX0cFhZGWloa6enp7N27l+HDhzNw4EBycnI0dXx9fXFzcwOKphEv2e4///zDhQsXAEo1bbioWDIhQzmoUaMG3t7e1KpVC0dHxwrbDlE5SfwIa0j8CGtI/AhrVGT8TJ06lejoaKBoeNz69esZNGgQzz//PDk5Ofz9998A5OTkMHToULVeUlISv/zyCwApKSk8/vjj6nfIxMRERo4cqbkxae3atXF3dycrKwuA8+fPc+nSJQYPHqyu4+DgQFxcHEeOHKGwsJC9e/fSuHFjatSowc8//8zEiRO5evUqAPPmzaNDhw638chUDncydmRCBiGEEEIIUWXl5ubi6uqKoig0aNCA6OhozffAvLw8fHx8yMjIwM3NTfO9MTMzk/r166vL7rnnHp588klSU1NZs2YNqampQNGMd9988w3Dhw9Hp9Px008/MXLkSLKzs9HpdERFRdGwYUO13djYWDp06HDDYWKtW7fm0KFDuLi4lPchETcg1xwJIYQQQogqKysri+Lf9oODg82+5Do7OxMUFKSuazQa1TIPDw+++OIL7O3tATh27Bivvvoq77zzjpoYATzzzDOMGDECOzs7dDodjz76KK+//jpQdCaieFa7YgEBAezZs+e603R36tSJ3bt3S2JUCUhyJIQQQgghKg1PT0+qV68OwMGDB83OCly5coXQ0FCg6HqgksnT0KFD+eWXX2jTps11X2PQoEFmyx566CHNa5TUunVrzp49y7fffsuIESPo168f48ePZ8+ePfz999/UrVu39DspKoxDRW9AVZCTk4OiKOh0OvXDKkRpSfwIa0j8CGtI/AhrVFT8ODg48OSTT/L5559z9epVRo4cySeffIKfnx/R0dFMmDCBwsJCAEaPHm2xjd69e3P8+HGOHj3KmTNncHJy4uTJkyxatAiAkydP0r9/f02d4oQLis5AWeLo6MgTTzzBE088UR67WmXZct8j1xyVg9DQUAoLC6lWrdoNf4UQwhKJH2ENiR9hDYkfYY2KjJ+IiAjat2+vzhyn0+nw9fXl8uXL6jqenp6cOnVKvQfRzZw7d06dTc7b25sDBw7QvHlzAC5cuED37t25dOkSAEeOHKF9+/bluUt3lTsZO3LNkRBCCCGEqNKCg4PZvHmzOoW2oiiaxMjLy4uff/651IkRQNOmTXn00UeBopnsWrVqRb9+/Rg4cCDNmjVTE6Nu3bpJYlSFybC6clCrVi31Lr9ClJXEj7CGxI+whsSPsEZFx0+fPn04e/Ysn376Kd9//z1paWnUqVOHESNGMHHiRIs3ZL2Zzz//nAcffJCwsDAMBgO7du3SlAcFBbFhw4by2oW7VkXHzo3IsDohhBBCCFHhrl27xqlTpzAYDAQHB99SclMerl69ygcffMCaNWvUm8LWqlWLp59+mpkzZ+Ll5VUh2yVuTVlzB0mOhBBCCCFEhUlJSWHu3LmsW7eO7OxsoGjShSFDhvD222/j4uLC6tWr2b17N9nZ2TRs2JBx48bx6KOP4uBw+wZBGQwGLl26hKIo1K9f/7a+lrh9JDkSQgghhBCVQkJCAl27duX8+fMWy6tXr45er6egoMCs7N5772X79u0VdoZJVA4yIYMQQgghhKgUJk2apCZG1atXZ+zYsTz77LNqwpOTk6NJjBwdHdXH//77L4888gh6vf7ObrSo0uTMUTk4e/asOh1h8RSQQpSWxI+whsSPsIbEj7DGjeLHYDBgZ2eHTqfTLM/KyuLChQs4ODig0+nUqbLr1q3Lv//+S0BAAFB03Y+vr686zK5nz558/fXX+Pj4sGvXLiZOnEh8fDwAW7ZssXjTVmG77mTfI2eOKkBeXp76J0RZSfwIa0j8CGtI/AhrlIyfxMRE5s6dS0BAAA4ODri6ujJkyBD2799PbGwsEydOpE6dOrRu3ZoWLVrQsWNHta0XX3xRTYyK2ypOjKBo6m4/Pz/s7Ozo378/n376qVr2xRdf3IG9FeXJlvseubKsHNjb29vsdITC9kn8CGtI/AhrSPwIa5jGT2hoKH379iUxMVEtz83NZfPmzWzevJnq1aurN2wtlpWVpT6uW7eupiwmJkbz3DRRAhgwYID6+iXXFbbPlvseSY7KQcuWLSt6E0QlJvEjrCHxI6wh8XN3O3LkCAcOHECv19OiRQv69etXphnZiuPn2rVrNG/eXE2M7O3tadu2LbGxsSQnJwOoiVGNGjV45JFHuHbtGtu3b6f46o63336bp59+Wm3b1dVV81qBgYGa53FxcRgMBovrCttny32PJEdCCCGEEHeRU6dOMXHiRP7991/Ncj8/P5YuXcoTTzxRpvbWr1/P5cuXAejYsSM//PAD9evXp7CwkIkTJ/L1118D4OzsTHR0NN7e3gAcPXqUjh07oigKMTExzJw5k9mzZ+Ps7ExYWJjmNUy/TBsMBl5//XX1ed++fcu0vULciEzIIIQQQghRhRUUFKDT6ahWrRrh4eF06dKFzMzM666/du1axo8fX+r2u3fvzoEDBwA4fvw4bdu2VcumTJmiuT7o9OnT6iQMAA899BC//fab+tzOzg57e3sKCws1r2Fvb8+gQYNo2LAh27ZtIzIyEvi/hMvHx6fU2yvuLjIhgxBCCCHEXS4nJ4dly5bRvHlznJyccHR05J577mHw4MFqYtSsWTNWrlzJunXrNGdfnn/+edLS0kr9WklJSUDR8DbTxAiKZp2ztG6xsWPHap4bjUZNYlQ8pbfBYODHH39k6dKlamJkb2/PV199JYmRKFcyrK4cJCUlqReV1alTp6I3R1QyEj/CGhI/whoSP1VTamoqvXv35vjx45rlps8bNmzIkSNHcHNzA2DUqFGMHTuWdevWkZOTw7p165g2bdoNX6c4ftzd3YGiSRPOnDmjOTPk7++vqePl5aV5vnv3bvVxnz59SEhIwGAw0Lp1ayZNmsR9993HkiVL+OSTT9TrlwB69OjB/Pnz6d69e2kOibAxttz3SHJUDq5cuaLO1W5rb7CwfRI/whoSP8IaEj9V01NPPaVJhNq1a0dBQQHh4eHqMm9vbzUxAtDpdLz00kusW7cOgIMHD940OSqOn65du6rXLz377LP8+OOPeHl5oSiK5qatdnZ2REdHExISQkFBAZ9++ikbNmwAwNPTky1btuDi4mL2Om+99RazZ8/mxIkTZGdn07BhQxo2bHgLR0bYClvueyQ5EkIIIYSoIkJDQ9m5cycAderUYceOHbRv3x6A6dOns3z5cqBoMoSEhATq1aun1jVNTIpngiuNQYMG8dVXX5GSksL+/fupX78+Xbp0ITo6mqioKHU9o9HIY489hpeXF/n5+ZrpuWfOnGkxMSrm5OTEfffdV+ptEuJWSXJUDgIDA1EUxewu0EKUhsSPsIbEj7CGxE/Vs2nTJvXxvHnz1MQIYMSIEWpyZDQa+f7773n++efV8rVr16qP27Rpc9PXMo2fbdu20b9/fzIzM8nJyeHXX3/VrOvv709cXByA2fVML774Iq+99loZ9lJUdrbc90hyVA48PDwqehNEJSbxI6wh8SOsIfFT9Zhel9O5c2dN2b333ktgYKB609Rly5bRpEkTPD09Wb9+PR999BFQNNHBjWarUxSFyMhIkpOT8fb2pmnTpnTu3Jnjx4+zdOlS1q1bp07E0L17d6ZNm8YjjzzCli1b+OyzzwgLC8PBwYEuXbowdepUunTpUs5HQdg6W+57JDkSQgghhKgiiu8hBHDo0CHuuece9blOp+P+++9Xk6Po6Gj69etn1sbcuXPx8/Oz2P63337LO++8Q2hoqLqsZcuWzJw5k1GjRvHRRx/x4YcfkpGRQfXq1TVD5YYNG8awYcOs3UUhbiu5z5EQQgghRBVx4sQJ2rVrBxRdc7Rz5071+b59+3jkkUc01/qYcnR0ZO7cucyePdvicKc333yTt95667qvPXPmTN55551y2Ashyk9ZcwdJjspBQUGB+th0VhYhSkPiR1hD4kdYQ+Knaurbt69miuz27duTn59PWFiYumzs2LH07duXP/74g8LCQpo3b87o0aPV+wodOXKEHTt2cO3aNQICAvD19dWc9enYsSP33Xcfhw8f5p9//lGX79ixg/79+9+BvRSV2Z3seyQ5qgChoaHqdISluYBRCFMSP8IaEj/CGhI/VVNKSgq9e/fmxIkTFssffPBBtm/fTvXq1c3KYmJieOqpp/jrr780y3U6HcVfGRcvXswbb7yhxs+3337L0qVLgaJ7Fe3atauc90hUNXey7ylr7iBj0YQQQgghqhBvb2/++usvPvjgA5o2baoub9u2LZ988gm7du2ymBglJCTQrVs3s8QIUBMjFxcXZsyYoSkbOXIk9evXB2DPnj0UFhaW5+4IcUfJhAzlwMPDQ73LrxBlJfEjrCHxI6wh8VN1Va9enVdeeYVXXnmF3NxcdDodzs7ON6wzf/58Ll26BBRNtTxz5kyaNm3Ktm3b+PDDDwHIzc3l4MGDdOvWTRM/jRs35tKlSxiNRnJzc6lWrdpt30dRedly3yPD6oQQQggh7nJZWVnUrVuXnJwcXF1diYyMxMfHRy338PBQp+d+7LHH2Lx5s1qWkpJC/fr1ycvLw9PTk5SUFPleJmyGDKsTQgghhBBlcvbsWXJycgAYPHiwJjECmDhxovp4586dnD59GoCIiAiGDRtGXl4eAKNHj5bESFRqZYre3377jQkTJhAcHIyrqyt+fn4MGjSIo0ePmq177NgxevXqhZubGzVr1mTIkCFER0dbbHflypUEBwfj5OREw4YNWbBggYxXFUIIIYS4ibS0ND7++GNmzJjBvHnzOHDgALdjUNBzzz2nPs7LyyMkJISaNWvSvHlz9u/fDxSdXZo+fXq5v7YQd1KZkqOPP/6YmJgYpk2bxo4dO/jwww9JSkqiU6dO/Pbbb+p6ERER9OjRg4KCAjZu3MjatWs5d+4cXbt21dy5GWDRokVMmzaNIUOGsGvXLqZOncrixYs1H0IhhBBCCPF/jEYj8+fPx8/Pj6lTp7J06VIWLlxI9+7dueeeewgPDy9Te82aNVMnadi8eTNXrlzRlO/Zs8esTmZmpvrY29ubX375hcDAwLLvjBA2pEzXHCUlJVGnTh3NsqysLIKCgmjZsqX6wRk+fDj79u0jKioKd3d3AC5evEiTJk2YPn067777LgCpqan4+/szZswYPv30U7XNxYsXM2fOHMLCwmjRooXm9WzxmqOoqCh1OsLGjRtX2HaIykniR1hD4kdYQ+Kn8nrllVf4z3/+c91yLy8v/vnnH4KCgkrd5pQpU9TvY4GBgbz22ms0bdqUHTt2sHLlSnVUzwsvvMCRI0eIj4/Hw8ODhx9+mFdffRVPT0/rdkrcNe5k31PW3KFMs9WVTIwA3NzcaNGihTq7iV6vZ/v27YwZM0ZNjAAaNGjAgw8+yObNm9XkaOfOneTl5TF+/HhNm+PHj2f27Nls2bLFLDmyRVlZWeobLERZSfwIa0j8CGtI/FROYWFhamJkZ2fHs88+y+DBg4mLi+O9997j9OnTpKWl8dprr/Hjjz+Wut0333yTHTt2cOnSJWJiYpg6darZOmPHjuXDDz9Ep9Np7lUjiZEoC1vue6yeyjszM5Njx47Rs2dPoCgTzM3NpXXr1mbrtm7dml9//ZW8vDycnZ3VOzW3atVKs56Pjw/e3t6aOznfSHh4OA0aNNAkY/n5+URERADg6elJQECApk5kZKR64WHJm0+lpKRw+fJlAAICAjQfeIPBoG5XjRo1aNSokabuhQsX1NlcQkJCcHD4v0OckZHBxYsXAfD19VXvQl3s5MmTKIqCi4uL5r4EAJcuXSItLQ0oOvVtOh1nVlYWUVFRQFECW/IiytOnT6sBWDLZvHLlCklJSQA0btwYNzc3tSwvL4+zZ88CRb9AFd/DoNi5c+fU6UFLvt/JycnEx8cDRYlxzZo11TK9Xq+e7nd3d6dhw4aautHR0WqG37JlS800j+np6cTGxgLg5+eHt7e3pm5oaChQNIVpkyZNNGWxsbGkp6cDqNe4Fbt69SoXLlwAoG7dutSrV09TNzw8HL1ej5OTE8HBwZqy+Ph4dbhoUFAQrq6uallOTg6RkZEA1KpVC39/f03ds2fPXvf6uqSkJHVYQ2BgIB4eHmpZQUEBZ86cAYrGeJccxhAVFUVWVhZQ9Pky/XUkNTWVuLg4APz9/alVq5ZaZjQaOXXqFFD0w0fJX3NiYmLUYRTNmzfX3NU6MzOTmJgYoOgzXPLHlLCwMAwGA87OzjRr1kxTFhcXR2pqKgBNmjTR3H8jOzub8+fPA1C7dm18fX01dSMiIsjPz8fBwYGQkBBNWUJCAomJiQA0bNiwSvcRBoNBjX/pI6pWH5GXl4e9vT0tW7bUlJVHH2Gp/5E+oogt9xHFPzIDLFy4kFmzZgFFfcTq1at57LHHSElJYevWrcTHx+Pr61vq7xE//PAD06dPN7vXUbVq1Rg5ciSfffYZOp1OU1ZYWEhoaKj0EVWwj4Db8z3CUt9zu/qI4s9paVmdHD333HNkZ2cze/ZsAHXDvLy8zNb18vJCURTS09Px8fEhNTUVJycnTRCYrlvc1s3o9Xqziw8VRVEPvF6vt1jnel9KjUajWmY0Gs3KS7ZrmtwVnyYs3obrtWswGCy2qyiKxSzaYDBY1e719tW03ZL7anoMLbVbfAxLdpJlafd2vzfXa/dG8XK9Y6jX6y2egr3Re1OadqHol7+SPxLcqF3TumV9z0t7DC3VN92mkm62rwUFBRiNRov3NLD2GBZ/dm61XVuJw1vpI4rj5uLFi2qfKX1E1eojCgsLLZaVVx/Rtm1bzXZLH2He7u2OQ0VR+PPPP9m6dSuxsbF4enrSt29fi5cWFBYWaq4nevbZZzXtOjk5MWDAAL7++muMRiMnT57E19e31N8jfHx8+PPPPzly5Ai//PILV69exd7enp49e1K3bl1NstaqVSsuX75MYmIihYWF0kdU0T6ipPLqI1q2bKn5AeV29hFlYVVyNHfuXL755htWrlxJ+/btNWWWAt1SWWnXuxEHBwezdXU6nfoFwvSDbFrneqfy7Ozs1DJLQVyyXdN1TNstuU2m7Vp6Y6tVq4aiKBa3197e3qp2Tf+9Xrsl99X0GFpqt3hfLb1PpW33dr8312v3RvFyvWNouo6pG703pWm3+CZoJffnRu2a7uv12rX2GN5sX0u62b46OjpiMBhuyzE0Go1l/tzYYhzeSh9R/PrWtmv6rynpI8y3qaL6iLK0W1z3Ru2aHifTYyV9hHm7tzMOo6OjeeKJJzhy5IhmndWrVzNixAg+//xz9Vfw4nav9/2ouI+42WeuNH1Ehw4d6NChA6A9u1yynulxkD6iavYRJZVXH1Gy77mdfURZ3PJNYBcsWMD8+fNZtGiRejoXik7vBQcHs2rVKrOxqq+++ipLly4lJycHZ2dn3njjDd555x2ys7M1p7+g6NR479692bBhg2a5LU7IIIQQQghRVomJiXTs2FG9btuSPn36sGPHDs2XxWnTprFixQqgaFjdnDlz1LKMjAyaNWtGUlIS9vb2XLp0yWworRB3kztyE9jixGj+/PmaxAiKxqS7uLio4w1NnTp1iqCgIHWca/FwkJLrJiQkkJKSYjZ2UgghhBDClhUUFHDu3DnOnTtHQUHBDdddtGiRmhg1btyYr776iqNHj/LOO+9Qo0YNAHbv3s2WLVs09SZNmqQ+njdvHpMnT2b37t189tlndOrUSb1OcNCgQZIYCVFWShm99dZbCqDMmTPnuusMHz5cqVOnjnL16lV12cWLFxVHR0dl5syZ6rLU1FTF2dlZmTJliqb+kiVLFJ1Op4SHh5u1bTAYlIyMDM2fwWAo626Uq5SUFCUpKUlJSUmp0O0QlZPEj7CGxI+whsRP+UlJSVFmzJiheHl5KYACKF5eXsqMGTOU1NRUs/Vzc3MVd3d3BVBcXFyUuLg4TfmWLVvUdvr06WNW/9VXX1XLLf15e3sr58+fv237qygSP+LW3cnYKWvuUKZrjpYuXcq8efPo168fDz/8MIcOHdKUd+rUCSg6s9SxY0cGDhzI66+/Tl5eHvPmzcPb25tXXnlFXd/Ly4s5c+Ywd+5cvLy86NOnD4cPH2b+/PlMnDixUkzjDUUzZBSPxTWdsUOI0pD4EdaQ+BHWkPgpH/Hx8XTv3l2dNa9YWloaH3zwAVu3buX333/XzKR38eJFdVa6/v374+fnp6n7yCOPULt2bZKTk9UZ1Ey9++67uLu7s2TJErPZuNq3b8+6detu+/1jJH7ErbLl2ClTcvTTTz8BRfcn2rlzp1m58v8vXwoODub3339n5syZDBs2DAcHB3r27MkHH3xgNjXt7NmzqVGjBqtWreKDDz6gXr16vP766+rsd0IIIYQQtmz06NFqYuTo6Ej//v1RFIWdO3dSUFBAZGQkY8aMYc+ePWod0+sd8vPzzdo0nRHM0rUROp2OOXPm8MILL7Bx40aioqJwcXGhd+/edO7cucwXoQshitzyhAwVxRYnZEhNTcVoNGJnZ2dz2a+wfRI/whoSP8IaEj/WCw0NpW3btkDRfXP++OMP9b47Fy5coGvXruo9j0JDQ9X7+RQWFuLv709SUhIODg6cPHmS5s2bq+2uXbuWp59+Gii6RtvV1ZWEhAQ8PT0ZPHgwkyZNom7dundyV81I/IhbdSdjp6y5g/38+fPn39YtKmeKophd4Ojk5FShv5BUr14dV1dXsxn3hCgNiR9hDYkfYQ2JH+utWbOGffv2AbB48WL69u2rlnl6euLg4KCOtvHz86Nbt25A0dTDmZmZ/PHHHxiNRr799lvy8/NJS0tj5cqVLFiwQL2HTFJSEnFxcWRkZJCQkMC+ffv49NNP6dChw20fOncjEj/iVt3J2Clr7mD1TWCFEEIIIe5WmZmZ6uOQkBCzctOZd4uvMSr22muvsW3bNk6dOkVqairz5s274Wt5eXmRlpYGwLVr13jsscc4cuSI5oyTEMI6cnMgIYQQQohb5O/vrz7+9ddfzcpNl9WrV4/w8HCOHTtGeno67u7u7Nu3j8GDB5v9im16o8uOHTuqCVRMTAwPP/wwADk5Obz33nvlvUtC3NXkmqNyUHzaGyxfNCnEjUj8CGtI/AhrVPX4OXPmDHv37iUnJ4fGjRszcOBAnJycyvU14uPjadCgAXq9HmdnZ9auXcvw4cMB2LhxI+PHjyc/Px87Oztq165NYmIiAA4ODgwdOpR58+bRokULLly4wPbt27l69Sq+vr4sXLiQCxcuYGdnR1RUFIGBgeprXrt2jfr165OZmYmzszMZGRnlvl+lUdXjR9w+dzJ2ypo7SHJUDkJDQ9XpCNu0aVNh2yEqJ4kfYQ2JH2GNqho/Fy9e5JlnnjE7k+Pt7c3ChQuZMmXKLbd95swZ1q5dy9mzZ3F2dqZHjx4cO3aMzz//XF3Hy8sLQB0CdyNubm7s3LmTLl26aJY7OjpSWFhIy5YtOXXqlFm9QYMGsW3bNgAuXbqkOYN1p1TV+BG3352MnbLmDnLNkRBCCCGqjMuXL/PAAw8QFxdnVpaSksKzzz5LWloas2bNKlO7BQUFTJ06VZMEAWzatAl3d3c6deqk3v/xekmRnZ0d/fr1o27dumzfvp3k5GSysrIYOnQo0dHRmovTa9SoQVpaGrGxseTm5uLi4qKWKYrCuXPn1Odubm5l2hchxPXJOdBy4Obmpv4JUVYSP8IaEj/CGlUxfl577TU1MfL39+fdd99lw4YNDBs2TF1n7ty5REREcOjQIX755ReOHz/OzQbSTJkyxSwxKnb16lUOHz7MokWLePjhh6lXrx716tWjT58+ODs7A+Ds7MyhQ4f4+eefWbt2LdHR0erMdYmJiXz77beaNouvK7p69Srz58/XbN/q1auJiIgAoEuXLtSsWbMsh6jcVMX4EXeGLceODKsTQgghRJWQnJyMn58fhYWFeHp6EhERQZ06ddTy119/nXfffRco+nKWlZWllgUHBzNr1ixGjx5t1q7pvYycnJxYuHAhTzzxBImJiSxatIitW7cC0KFDBw4fPqzW++mnn3j0nmtUUgAAIABJREFU0UcBeOaZZ1i9erWm3b/++osHHngAgCFDhvDDDz+oZUeOHKFjx47q85CQELp3787x48c5ePCgunzjxo08/vjjZTxSQtw9ZFidEEIIIe5KR48epbCwEIBRo0ZpEiOAl156SU2OTBMjgIiICMaMGUNERASBgYGsX7+ey5cv4+HhoZk5bsmSJUyfPh2AgIAAfvjhB+655x5OnjzJkSNHOHHihJpImX4hCw4ONtte0ym4S07z3aFDB5YtW6a+Vnh4OOHh4Zp1XnzxRc0ZMSGE9SQ5EkIIIUSVYDAY1MeWbi65ZcsWzfOBAwfStm1b9u/fzx9//AEU3cj1RkaOHKl5bm9vz4gRIzh58iRQNGFDcXJkOknCzp07efnllzV1i28OC1C/fn2z13rppZcICgpiyZIl/P333+rykJAQZsyYwdixY697I0shxK2RsWhCCCGEqBJatWqlPv7f//5Hbm6upnzRokXq4169evHTTz+xcOFCDhw4wNy5c83ac3d3N1v2559/mi1LTU1VH5tOqd2lSxd1Cu5ff/2VefPmce3aNRRFYffu3ZpkacyYMRb3aeDAgfz111/ExMRw6NAhzp49y6lTpxg3bpwkRkLcBnLNUTmIiYnBYDBgb2+vuQ+BEKUh8SOsIfEjrFEV46d///7qGZn77ruP2bNnU79+fdavX8/SpUvV9Y4cOUL79u3V50uXLmXGjBlA0axyhw4domPHjsTGxjJgwAB1SFtAQAAxMTFqYnLlyhVatWpFamoqDg4OxMbG4uPjo7b75ZdfMn78ePW5o6Mjrq6upKenq8t69OjBb7/9VumSnaoYP+LOuJOxI9ccVYDMzEx1rnYhykriR1hD4kdYoyrEj6IopKSkYDQaqV27Nu+99x5//vknWVlZ/PPPP+qECKYCAgI0iRHAhg0b1Mf29vbqZAgBAQH88ssvBAQEABAbG0vnzp158sknSUpKYs2aNeqZo6FDh2oSI4Bx48Zx+fJl5syZAxRNCV5QUKCWd+rUie+//77SJUZQNeJHVAxbjh0ZVieEEEKISic3N5f33nuPxo0bU6dOHerVq4efnx+bNm1i8+bNNGjQ4Lp109PTycjI0CyLjo5WHwcFBWnK6tevT+fOndXn//zzDy+99BKLFy8mOTkZgAYNGrBs2TKLrzd79mxOnDjBpEmTaNKkCQEBAfTq1Ytvv/2WAwcOUKtWrTLvvxC2zmisVIPTVDKsrhyY/gLk6OhYYdshKieJH2ENiR9hjcoaP5mZmfTp04d///3XYnnTpk3Zs2cPR44cYc+ePeTm5tKoUSNOnz7N//73PwC6devGihUraN26NQcOHKB3797qTHcLFixg3rx5mjbvu+8+i69nZ2fHY489xsqVK/H19S3nPbVtlTV+xO2TV2jgwLlkdoYl8M+FNH6b0R0nB3uz9e5k7MiwugogHYKwhsSPsIbEj7BGZY2fKVOmaBKVBx54AEdHR/bv34/BYODcuXOMHj2a33//ncGDB6vrRUVFsWPHDjIzMzlw4IA6q1xJcXFxKIqiDnXbuHGj+nohISF88sknREZG4uTkRNeuXS3ONHc3qKzxI8pXToGefRHJ/BJ2hX0RSWQX/N+skX+fT+XB4DpmdWw5duTMkRBCCCEqjYsXL9KoUSOMRiMeHh7s3btXvX4oMjKSnj17EhcXB8C///6ruZEqwKFDhxg0aBBJSUk3fJ0WLVrw0EMPERYWxr59+9Tla9asYeLEieW8V0JULjkFevaeSeLnk1f4/VwSeYVGtczHw5l+LevRv6UP7Rt4Ym9XsdfTyZkjIYQQQlQZYWFhfP7555w5c4Zq1aphb2+P0Vj0RWz69OmaiRWaNGnC3LlzmTx5MgA//vijWXLUqVMnIiMjWb9+PZs3byY9PZ26desycuRI0tPTeeGFFwA4ffo0p0+f1tQdM2YMEyZMuJ27K4TNyi0w8PvZJLafvMLeiERNQhTgVZ3+LevRr2U92vjXxK6CEyJrSHJUDjIzM9XT7x4eHhW9OaKSkfgR1pD4Edaw5fjR6/VMnTqVNWvWXHeddu3amS0zTZbS0tIs1nN3d2fq1KlMnTrVrCwoKIi33377/7F33/FRVOvjxz+bbCqkFwiEJEASAoEEEaRKEys2FEVRKSKKFXvhIlhQUfBy0YvXHyKgXEUUQb/ABQSBSJUSakhCSAfSeyFly++PNWMmWSA9G3jer5cvd/fMnJ3ZPMzO2XPOc9i7d6/yWvfu3XnxxRd55plnZKRKNZYcP6JplFXqiTiTxaYTaWyPzqC02pA5P3dH7gzz4Y4+PoR2cq5XxkVLjh1pHDWBpKQkJR1heHh4ax+OaGMkfkRjSPyIxrDk+HnhhRcu2zAC+Prrr2ul6t61a5fyuGPHjvV+39tuu43bbruNpKQkLly4gLOzM7169ZJGkRmWHD+i4YrKKtkRk8nWqHR2xmRxsfLvBlFnVwfuDPPhzrBO9O5cvwZRdZYcO9I4EkIIIYRFiYuL4z//+Q9gmrj9wQcf8Mgjj5Cfn88777zDjz/+CMCGDRtYu3Yt999/P2BqGM2bN0+p5+GHH27wMQQEBMjCpuKakVtSwfbTGWyJSmdPXDYV+r+HzHVysef2Pj7cGeZD3y6ubXJNrvqQxlET8PHxUVb5FaK+JH5EY0j8iMaw1PhZsWKF8njOnDm8+uqrgOl4f/jhB/bs2cOFCxcwGo088MAD+Pr6Ymtrq1qr6L777iMkJKTFj/1aYqnxI+omJaeU306ns+10BoeT89BXW5eom2c7bvtrDlGfzi5N3iCy5NiRbHVCCCGEsCj3338/69atA+Ds2bN0795dVf7ZZ58xc+bMS+4/bNgwNm3ahLOzc7MepxBtidFo5OT5AradzuC3qAxiM9T30718nP/KMteRQO/2V00PkWSrE0IIIUSbZmdnpzzOzMys1TiqnmihZ8+eJCcnYzAYCA8P58knn+Sxxx7DxsamxY5XCEtVqTdwICGH36Iy2HY6g/TCMqXM2krDgAA3bu7VkVt6daCLu2MrHqnlkJ4jIYQQQliUr776iieffBKAO++8k19++UUZfpOZmUl4eDjp6eloNBri4+Pp2rVrax6uEBalpFxHxJksfotK5/eYTIrKdEqZo601w4O8uCW0A6N6eOPWznIXY20q9W07SONICCGEEBaluLgYPz8/8vLyAOjTp4+yDtGKFSvIysoCTA2nDRs2tOahCmER0gousis2i+2nM9h9NpsK3d8JFTzb2zKmZwdu7tWBoYGe2NtY3jyf5iSNo1Zw6tQpKioqsLW1pXfv3q12HKJtkvgRjSHxIxrDkuNn48aNjBs3Dp1OZ7bc19eXffv20aVLlxY+MlHFkuPnaqfTGziams/OmEx2xGQSk66+N/b3cOTWUNNwuev83LC2sEVZWzJ2ZM5RK9Dr9RgMBvR6/ZU3FqIGiR/RGBI/ojEsOX7uvPNOtm/fzquvvsrhw4eV162trRk3bhyLFi3C19e3FY9QWHL8XI1ySyrYFZvJztgs/jiTRcHFSqVMo4HrurgyOsSbW0I7EmThCRUsOXakcdQE7O3tsba2lsmfokEkfkRjSPyIxrD0+BkxYgSHDh3i+PHjnD59GhsbGwYPHkznzp1b+9AElh8/bZ3RaOR0WqHSO3Q0NZ/q471cHW0YEezFqB7eDA/2wr0NzR+y5NiRYXVCCCGEEEJYgJJyHfvic9gRk8nOmExVdjmAnj7OjA7xYnSIN327WN5wOUskw+qEEEIIYVEqKipYt24dP/30E9nZ2Xh7ezNhwgTuuecei/zlWIiWlJRdYmoMxWbyZ0IuFfq/kyk42FgzNNCT0SHejArxwsfFoRWP9NogPUdCCCGEaDbR0dHcddddxMfH1yrr0aMHGzduJDAwsBWOTIjWUaEzcDAxlx0xmeyKzSQhu0RV7uvmwOgQb0aHeDOom8c1l12uqUm2OiGEEEJYhIyMDPr168eFCxcuuY2fnx+RkZF4eHi04JEJ0bJySyrYGZPJ7zEZ/HEmm+Lyv7Mwaq00DAhwV3qHuntZdjKFtkaG1bWCc+fOodfrsba2lsw5ot4kfkRjSPyIxmju+PnXv/6lNIzCwsJYtGgRgwYNYu/evbz44oucPn2alJQUHn74YdLS0khJScHJyYmxY8fy/PPPS3poCyfXn0szGo2czSxme3Qm26MziEzJUyVT8Gxvx6geprlDw4I8cbK/toaXWnLsSM9REzh+/DiVlZXY2NgQHh7easch2iaJH9EYEj+iMZo6fmJiYti6dSslJSX4+fnxyiuvkJmZiVarJSEhQbUmUXx8PEFBQVzqNsTKyoolS5YwY8aMRh+XaB5y/VErKqtkX3wOEWeyiIjN4nz+RVV5Tx9nxvT05qaeHQjr7ILVNZxMoSVjR3qOhBBCCNGizp8/zxNPPMGWLVvMlg8ZMqTWYq3e3t7Y2NhQUVGhvNa9e3cuXLjAxYsXMRgMPP3003Tt2pVbb721WY9fiIYwGo1EpxWZGkNnMjmclIfO8Hdj31ZrxZDuHtzUswOjQ7zp7CrJFNoC6TlqAqWlpRiNRjQaDY6Ojq12HKJtkvgRjSHxIxqjKeInIyODwYMHk5iYeMlt3NzcyMnJUc2jWLJkCc8995zyPCoqil69elFUVMTs2bP57LPPABg+fDgRERENOjbRvK7F609ZpZ598dlsj85kR3TtVNtdPdsxItiLEcFeDOzmjqOt9EOY05Kx0+wJGYqKinj//fc5duwYR48eJTs7m7lz5/LOO++otpsyZQrffPNNrf179OhBTEyM6rXKyko+/PBDVqxYQVpaGl27duXZZ5/l+eefb/QJCiGEEKL5PPXUUyxduhSATp06MXPmTLp3786GDRtU9wEffvghb731lvI8KCiIs2fPAjBw4EAOHDiglBmNRnr16qXcLyQnJ+Pn59cSpyNELZmFZfwek8nv0ZnsOZtFWaU61faQ7h6M6GFqEPl7tGvFIxXmNPuwupycHJYuXUp4eDj33nsvy5Ytu+S2Dg4O7Nixo9ZrNT3zzDOsWrWK999/nwEDBrB161ZmzpxJUVERs2bNqu8hCiGEEKIFFBYW8t///heA9u3bc/DgQTp37gzA/fffT0VFBatXrwZg1qxZHD58mIEDB7Jv3z6lYQSoGk0AGo2G0aNHK42jtLQ0aRyJFqPTGziWmk/EmSx2xWZx8nyBqryTiz2j/5o7NFhSbV916t048vf3Jy8vD41GQ3Z29mUbR1ZWVgwaNOiy9UVFRfH111/zwQcf8NprrwEwcuRIcnJymDdvHjNmzMDd3b2+hymEEEKIZnbq1ClKS0sBGD9+vNIwqvLll18qjSOAdevWsW7dulr19OvXr9ZrJ06cUB67uro21SELYVZ6QRl/nMki4kwWu+OyKCzTqcrDu7gyJsTUIOrp4ySptq9i9W4cNXUw/PLLLxiNRqZOnap6ferUqXz11Vds2bKFiRMnNul7NrWSkhJl3GS7dtKdKupH4kc0hsSPaIz6xo/RaOTgwYPs27cPnU6nuiewt7evtb2dnR1arRadTqf8v0r79u0pLi4GYObMmXz33XfK6JJVq1axZ88eAEJCQggODm7UeYrm0ZavP3qDkWOpeez4a7hcTLp62JWrow03BpmGyg0P9sTbqXZ8i4az5Nhp1lliFy9epGPHjmRlZeHj48O9997Le++9p+oJOnXqFF5eXnTs2FG1b1hYmFJ+JVFRUfj7++Ps7Ky8Vl5ernTHu7m51eqOj4uLU37tqplCMDs7m/PnzwOmxenc3NyUMr1erxyTk5MT3bp14+zZs0o6QmdnZwoLCwEIDQ1Fq/37I87Pzyc5ORkwjcv28vJSve+JEycwGo04ODjU+iJITU0lNzcXMM3bqv4lVFxcrKw87u3tjY+Pj2rf06dPK8fXq1cvVVlaWhqZmZmAKUtQ+/btlbKysjJiY2MBcHd3r5Vp6MyZM1y8eBGNRqP8vapkZWUpa1v4+/urfvXT6XRERUUB4OzsTNeuXVX7JiQkKGNDe/fujbX1393VeXl5pKSkANC5c2c8PT1V+x4/fhwAR0dHgoKCVGUpKSnk5eUBpi9bOzs7paywsFCZTNyhQ4da8RgVFYVOp8POzo6QkBBV2YULF8jKygIgMDBQ9Y+8tLSUuLg4ADw8PGrl8o+NjVXOtWY6y8zMTNLS0gAICAjAxcVFKauoqCA6OhoAFxcXAgICVPXGx8crNx19+vRRjavNycnh3LlzAPj6+qoWXjQYDJw8eRIw3bh0795dVW9SUhIFBabhBT179sTW1lYpKygoICkpCQAfHx+8vb1V+546dQq9Xo+9vT09evRQlZ07d46cnBzANA+h+uTMkpISZfiNl5cXnTp1Uu0bExNDeXk5Wq2W0NBQVVl6ejoZGRkAdO3atdWuEdUlJiY26TWi6vpjZWWl/FuRa8TVdY0oKyvD2tq61po/TXGNqKysBNTXn0tdI44ePcr06dM5cuQI5vz00088/fTTSmrunj17smrVKqVBdM8993DrrbeSn59PYGAg/fr1IzQ0lJKSEtavX4+vry8DBgwgNTWV06dPK/W+9NJLnD9/Xq4RWN59RNX1B0wxZOnXiIKLlWw+msSWE+c4cqGMooq/5w5pNBDu60qIi55+PvaE+boS0kP9GV6L1whonvsIc9ee5rqPqPp3WlfN1jgKDw8nPDxc+UNFRESwaNEifv/9dw4dOqT848nJyTE7bK5du3bY2toqJ3o5Op2u1joJRqNR+eCr/1JVfZ+q8poMBoNSZjAYapXXtd6ax1S9Xr1eb7Zeo9GIjU3thcD0en2j6r3UuVavt+a5Vv8MzdVbda7mehPrWq+l/G2udK6VlZXodDqzk/cu97epS72Xcrl6q+9b3795XT9Dc/tXP6aarnSuFRUVGAwG1Y2suXob8hlW/dtpaL2WEoeNuUZUPx+5Rlxd14jKykqzZS15jTh27BjDhw9XbpbMycnJYcKECUyaNAlfX1/Wrl3LwoULlfKpU6fSoUMHwNRw9fHxYc2aNdx///2Ul5eTm5vL1q1bVXVOnz6d6dOnk5KSItcILPM+ovo2lniNSM0t5ffYbLadTudQUh76aqm2neysGRnSgZtCvBke7IV7O1sOHz5seg/DpY+36hjqc65X+zXCXL2WdB9RH83WOHrppZdUz2+++Wauu+46xo8fz1dffaUqv9xQvboM49NqtbW202g0ysWh+q8u1fcxd/EA01ypqjJzQVyzXi8vL2WV3/LycqW85jFVr9fcH9bGxgaj0Wj2eK2trRtVb/X/X6remuda/TM0V2/VZ2jub1TXepv7b3Opei8XL5f6DKtvU93l/jZ1qbeiogKNRlPrF8DL1Vv9XC9Vb2M/wyuda01XOldbW1v0en2zfIYGg6He/24sMQ4bco2ouv4UFxcr68XINeLqukZUfb/Up96qfS9Xb1Xdnp6eqs/D3Gc4Y8YMpWHUrVs3JkyYgLu7O1u2bOH3339X9o2JiTGbSOnhhx9m6NChSq9H1TGNHTuWAwcO8NFHH7Fu3TrlRve6667jxRdf5LHHHkOj0cg1wky9lnAf4eXlRWFhIaWlpVhbW1vENcJoNJKQX8nOM6X8ea6MpPw/VOXdPBwI97JmQGcHRod3paO3+rtXrhF/lzXnfYRer8fd3V01AqU57yPqo1HrHGVnZ+Pl5WU2lbc5BoMBZ2dnxo4dy5o1awDTBfP3339Xhm1UKSkpoX379rz11lt8+OGHqjoklbcQQgjRMiIjI7n++usB01CiyMhIZW6Q0WhkwoQJ/PTTT2b3tbKy4sknn2Tx4sWqmyBzioqKSE9Px8nJiQ4dOsiEd1FnFToDBxNz2R6dwbbTGZzPv6iUWVtpuCHAnZt7dWBMzw74eVwb6zGJvzV7Ku/GMhqNqoPp06cPP/zwA+np6arxmVXjFWuOnxRCCCFEy9m/f7/yeMaMGaolOTQaDTNnzlQaR2PGjKF3794UFxcTEBDAo48+ir+/f53ex8nJCScnp6Y9eHHVyi2pYGdMJr/HZPDHmWyKy/8eXudgY82IYC9u7tWB0SHeuLW7fMNciOpatHG0du1aSktLVem977nnHmbPns0333zDG2+8oby+cuVKHBwcuO2221ryEIUQQghRTfWx/+bWKqw+8bljx44sWrSoRY5LXFuMRiNnMor/yi6XQWRKHtWmD+HZ3o6bQry5uVcHhgV5ytpDosEa1DjavHkzJSUlShfV6dOnWbt2LQB33HEHWVlZTJw4kYceeojAwEA0Gg0RERH861//IjQ0lCeeeEKpKzQ0lGnTpjF37lysra0ZMGAAv/32G0uXLmXevHmyxpEQQgjRiqpnYlu5ciVPPPGEagTI8uXLzW4rRGMVllWyNy6biL/WH0orKFOV9/RxZsxfi7GGdXbBykqGYorGa9Cco4CAAGVSZU2JiYm4uLgwbdo0jh49SkZGBnq9Hn9/f8aNG8esWbNUqQTBlM3igw8+YMWKFaSnpxMQEMBzzz3H888/X6t+S5xzFBMTo6S4rJmeUYgrkfgRjSHxIxqjLvFjNBrp2bOnkpL59ttv5+WXX8bJyYmVK1fy5ZdfAqbJ0qmpqbXS74qrV1Nff4xGI1EXCk2NodgsjqSos8vZaa0Y3N2Dm0K8Gd2zA51da/dkirahJb+7WmTOUVUO8ssxtwL2pdjY2PDOO+/UKamDJSovLzebwlKIupD4EY0h8SMaqrS0lPj4eLRarZJiG0xr6Xz33XecPHkSa2trBg8ezMKFC7n33nvR6/Vs3ryZzZs316rv3XfflYbRNaYprj9VvUM7YzPZFZtFZlG5qrybVztGBnszoocXA7u6y3C5q4Qlf3e1eEKGq5FWq71k6kwhrkTiRzSGxI+or+joaD766CN+/PFHystNN6LBwcG8/vrrFBcXM2vWLNWiiV988QVeXl688cYbLF26lOzsbFV9dnZ2vPfee7z22msteh6i9TXk+mM0GonLLGZnTCY7YzM5nJSHrlrvkIONNUMDPRjRw5uRwV50cZfsclcjS/7ualQq79ZgicPqhBBCiLYgIiKCsWPHUlJSUu99raysWL9+PYWFhezZswedTkefPn149NFH8fDwaIajFVeLknIde89mszM2i4jYTC7UmDvUzasdo3p4M7KHFzd0dcdOK71DounUt+0gjSMhhBDiGpCXl0f37t3Jy8sDwM3NjZtuuonExESOHDmi2nbatGlMnTqV0tJSFi1apAyjCwwMJDY2Vr5zxWUZjUbOZhazKzaLnbGZHErKpVKvnjs0qJsHo0NMDSJ/j3ateLTiaieNIyGEEELUsmjRIl5++WUAbr75Zn7++WdlXaGpU6eycuVKANq1a0dBQYGyQr3BYGD48OHs3bsXgO3bt3PTTTe1/AkIi1ZWqWd/fA47/houdy7voqrc38ORUT1Mc4cGd/OQuUOixVj8IrBCCCGEaHm//PKL8vizzz5TLbha/SahpKSEo0eP0r9/f6Xs8ccfVxpHx48fl8aRAOBcXik7YzLZEZPJvvgcynV/T663/at3aFQPL0b28Karp/QOibZBGkdNID09Hb1ej7W1NR07dmztwxFtjMSPaAyJH1FXVcPpbGxs6NGjB/B3/JSVqeeA5Ofnq55XL5eRGteu0godfybkEnEmi91xWcRnqeeudXKxZ1SIN6NDvBnc3QNHW7nNFOZZ8neXRG0TyMjIUHK1W9ofWFg+iR/RGBI/oq46derEyZMnqaysZO/evQwbNkyJn8DAQNW21WOpvLxcWcsIYNCgQS12zKJ1GY1GotOK+CPO1Bg6lJhHhf7v3iErDQS72zDA14FHRoXTo4MTGo0sxCquzJK/u6RxJIQQQlwDJk6cyNatWwF48skn+fHHHwFTr1DNhd1feuklpkyZQmlpKUuWLOHkyZMAXHfddQwcOLBlD1y0qOzicvbEZf/VIMomq8a6Q51dHRge7MXwIE+cy9Kx0+hNC3l2dG6lIxaiaUlChiZQWFiI0WhEo9Hg7CwXB1E/Ej+iMSR+rg65ublER0ej0WgIDQ3FxcXlivsYjUZ27drFxo0bKSoqwtfXl0ceeYTu3bub3b6srIywsDDi4uKU17p160ZmZibFxcVXfD9HR0d27drFgAED6n5iwuJV6g0cSc7jjzNZ/BGXxanzhapyBxtrBnf34MYgT4YHe9HNs53SOyTXH9FQLRk7kq1OCCGEaCOSk5OZPXs2P/74IxUVFQA4ODjwyCOP8N577+Hj42N2vzNnzvDggw9y/Phx1esajYZJkybx5ZdfYm9vX2u/s2fPcsstt5CYmGi23scee4xdu3aRmpqqer1Pnz4sW7aMG264oSGnKSxMfmkFu2Kz2B6dQURsFkXlOlV5Lx9npXfo+gA3WXdItGnSOBJCCCHagNjYWIYPH05mZqbZcj8/P3bv3o2fn5/q9fPnzzNgwADS0tIuWfddd92lNLoyMjLw8PBg/PjxDB06lKKiIr7++mtWrlxJQkIC7dq149Zbb+X555+nf//+6HQ6tm7dyokTJ7C2tmbIkCEMHTpU5pK0cUnZJWyPzmB7dAaHkvLQG/6+/fNoZ6v0DA0L8sTbqXbDWoi2ShpHQgghhIUzGo3069ePY8eOAaYFWcePH49Op2Pt2rXK99yIESOYP38+ERERVFRU0LNnTzZv3szy5csB6NGjB3PmzCEkJIQtW7bwwQcfUFpaesn3HTRoED/99BO+vr7Nf5KiVekNRo6l5rHtdCbbozM4m6keOtmjgxNjenkzpmcHwn1dsbKSxq+4OknjqBWUl5cr4ybt7Oxa7ThE2yTxIxpD4qdtioiIYOTIkQCEhISwd+9e3N3dAUhLS2PQoEGkpKRcto727dsTHx+Pt7e38tqqVauYNGnSZfcLCgri4MGDuLq6SvxcZUordOyOy2b76Qx2xGSSU1KhlGmtNAzq5sFNPU0Noi7ujo1+P4kf0VCkXwf1AAAgAElEQVQtGTuyCGwriImJUdIRhoeHt/bhiDZG4kc0hsRP27Rlyxbl8axZs5SGEYCPjw8TJ05k/vz5l60jJCRE1TACU2KHKlZWVnz55ZcMGzaMQ4cOMWfOHJKTk4mLi2Px4sXMnTtX4ucqkJRdQsSZLHbFZrI3PoeKaguxOttrGRViagwND/bCxcGmSd9b4kc0lCXHjjSOhBBCiBZWPTucuexy//vf/5THnp6ezJs3Dw8PD7744gt27twJwJEjR8jMzFQ1kJYtW6Y87tixI9OnTwegZ8+eDBo0iJ49e2IwGPjqq6+YM2dOk5+XaH6lFTr2x+cQcSaLiDNZJOeoh1F2cXfg5p4dGdPLmwEB7thYy7QDIepDGkdNwM3NDZ1Oh1YrH6eoP4kf0RgSP21TQECA8njDhg0MGTJEeR4TE8OJEyeU5++++y5PPfUUYEq04OLiogxJWbhwIZ988glgGjoSFRWl7DdixAjVewYHBzN06FB2797N+fPnycvLk/hpA/QGI1EXCth7Noc9Z2svxGpjraG/vzsjengxqoc3wR3at1jyDIkf0VCWHDsy50gIIYRoYRcuXMDf3x+dToetrS2LFy9mypQp6PV6pk+fzurVqwGwsbEhKytLte7RlClT+OabbwCwtbVlzpw59OzZk//97398/fXXyna7du2q1UC6/vrriYyMBKCgoEDWprFARqORxOwS9sbnsDcum/0JORRcrFRt4+vmwIhgL0b28GZwdw/a21neDaYQlkISMgghhBBtwIsvvsjixYuV5zY2NhgMBvR6vfLamDFj2LZtm2q/w4cP12kh1nXr1jFu3DjlefUkEKGhoZw6daqRZyCaSsHFSvaezSYiNovdcVlcKChTlTvZaRnYzYOhgR61FmIVQlyeJGQQQggh2oCFCxeSn5+v9AJVVlbW2iYtLU2ZtFzlp59+umSddnZ2lJeXA/DQQw8xffp0JSHDf/7zH2W7Z555pqlOQzSAwWDkdFqhkkghMiVfte6QrbUV/fxdGRboyZBAT8I6u6CVuUNCtAjpORJCCCGamdFo5ODBg5w9exYHBweGDRumJFLYu3cv/+///T8iIyPRaDQMHDiQ/fv3c/r0aQBuvPFGXn31VTw8PPjuu++URo6VlRW7du3i2LFjFBYW0qVLF+6++24ef/xx1q9ff8ljGT16NJs3b8bW1rb5T1woMgrL2BOXzd6z2fwRl012cbmqvLtXO0YEezM82JOBXT1wsLVupSMV4uoiw+paQVxcnDKpLCgoqNWOQ7RNEj+iMSR+LN/GjRt58803VckSbGxseOihh/jnP/+Jp6dnrX0OHDjAyJEjlV4gc9555x3mzp1b6/WKigreeust/vOf/3Dx4kXldVtbW6ZMmcKiRYtwdDStcSPx03yKy3X8mZDD7r8aRHE1FmFtZ2vNkEBPRgR7MSLYq0nWHWppEj+ioVoydmRYXSsoLS2tNexBiLqS+BGNIfFj2b799lumTJlCzd8hKysrWbVqFYcOHWLPnj14eHioygcNGsSWLVuYNGkSqampqjJ7e3tmz57NrFmzzL6nra0tn376KbNnz2bDhg1kZWXh7u7OnXfeiZeXl2pbiZ+mYzSahsrtis0iIjaLyJQ8dNWGymk0ENbZhaGBngwL8qS/vzu22rY96kXiRzSUJceONI6EEEIIM6pWb2+o9PR0nnzySaVhNHDgQMaPH8/58+dZsWIFBQUFxMTE8Prrr6uyzFUZOXIk8fHxbNiwgd27d1NeXk7Pnj2ZOHFircaUOW5ubkyaNKnBxy+urLCskr1x2eyKzWLXmUwyCtU9ff4ejgwL9GRYoCeDu3vg6ihDGYWwdDKsTgghhMDUGNq2bRuff/45O3bsoKysjKCgIB5//HGeeuopnJ2diYiI4NdffyU/P59OnToxceJEQkNDzdb3wQcfMHv2bAAmT57MihUrlMZWYmIi4eHhFBUVYW9vz/nz53F3d2+xcxUNYzAYibpQyB9xWfxxJosjyereIQcba4YGejCihzcj2+hQOSGuNjLnSAghxFUlLy+PvLw8PD0967wuz5kzZ1i+fDmxsbHY2dkxYsQIHnnkEZydnbl48SJr167l8OHDGI1G+vXrxwMPPMCsWbP47LPPzNbn5+eHs7Oz2fTX48aNY+XKlVRUVLBu3TrS0tJwdXXlp59+Yu/evQCcPXuW7t27q/Z75plnlOQKmzZt4o477qjPxyJaSEZhGbvjsvnjTBZ7zmaTW1KhKu/m1Y6Rwd6MCvFiQIA79jaSSEEISyJzjoQQQlwVNm/ezMKFC9mxYwcAGo2GsWPH8sYbbzBs2DCz++h0Ol544QVV2mqANWvW8OabbzJ9+nRWrlxJTk6OqvyZZ55RJS/o0KEDXl5eSmMoJSXlkse5fv16Dh48SHZ29iUTKFRlpquuQ4cOyuPLJV4QLausUs/BxFx2x2WxOy6bmHT1TVV7Oy2Du3swPMiT4cFe+Hu0a6UjFUI0B+k5EkIIYXHmz5/PW2+9ZbbMysqKr776iscff7xWWfXemIb697//zVNPPYVWqyU6OpohQ4aQn58PgI+PDwsWLCAsLIwdO3Ywd+5cCgoKrljnZ599xvPPP6881+v1hIWFKem6o6Ki6NWrV6OOWzSM0WgkOq2I3XGmnqE/E3Op0BmU8qpECjcGeTE82Ivr/FyxkTWHhGgzZFhdK8jOzsZgMGBlZWU2JasQlyPxIxrjaoyf7du3c/PNNyvPAwMD6devH/v27ePcuXOAqYEUGRlJeHi4sl10dLTSwLC1tWXu3Lk8/PDDZGdn88EHH/Drr78q29599908++yzWFtb8/777xMREQGYUmwXFBTg4OAAmNJie3h4UFxsSsM8duxYNm7cqNQzd+5c3nvvPcDUs/Xiiy8yatQojh8/zieffKJ8X9na2rJo0SIlIcN7773HL7/8AsDgwYPZt29f036IdXQ1xk9d5JZUsDvOlFXO3JpDPi723BjkybAgL4YFeuLeThIpmHOtxo9ovJaMHRlW1wrOnz+vpCOUi4OoL4kf0RhXY/x8+umnyuO5c+cyZ84crKysVEPmDAYDixcvZvny5cq21R+/++67vPnmmwB07dqVRx99VNU4+sc//sENN9wAmL6kqxpHlZWV/Pzzzzz66KMAnDt3TmkYAarHAH/++afy2MHBgX/+858A3HXXXdx9991K462iooJnn32WZ599VrW/Vqvlo48+qu9H1GSuxvgxR28wciw1n4gzWUScyeLEuXyq/zTsYGPN4O4e3BjkyY1BnnT3at+oTIXXimslfkTTs+TYkcaREEKIVpWfn8+ePXsoLS2lU6dObN26FTAlQXj77beVX/e0Wi0LFizgv//9L0VFRfzyyy+qBlHVEDWARx55RPUeJ06cUD2PiYlRGkc1v5iPHj2qNI6srdWT62tmlKveOLK3t1eVhYWFMXLkSHbt2mX2vJ2dnfn2228ZMWKE2XLROHklFUScyWJHTCYRZ7IouFipKg/p6MSIHl6MCPLi+gA37LSSSEEIIY2jJuHn56d0DQpRXxI/ojHacvwUFBTw5ptv8s0336iSIVTp06dPrcZJu3btCAoKIjIykvz8fNVaRLa2fw99ysvLo0uXLsrzmr0A1bcdNmwYzs7OFBYWAhAfH6+U2djYYGNjQ2Wl6cb6+uuvV9VTPZHCkCFDap1D1fA8gMcee4yMjAwcHBwYPXo0kydPxsXFpdY+Laktx09NRqORMxnF/B6TwY7oTCJT8qiWZRtney03BnkxItg0d6iji/2lKxN1cjXFj2hZlhw70jhqAm5ubq19CKINk/gRjdEW4mffvn385z//4cCBA0oigkcffZQPP/yQo0ePXnK/Xbt2UVpaiqPj32vFZGZmKhnkOnbsqGr0DB8+XJnHM3/+fL777julPDg4WFX3oEGDlMc2NjZ4eXkpjaNff/2VsLAwfHx8iIiIUBpGAAsWLODixYuEh4fz+++/qxp1VT1RVRISEti+fTtg6p1avnw5Wq1lfe22hfi5nOJyHfvjc4g4k8nOmCzO56sb2SEdnRgV4s3oEG+u6+KKVhIpNKm2Hj+i9Vhy7EhCBiGEEM3CYDAwc+ZM/v3vf192O0dHRyZNmoS/v7+SFrvKXXfdxYoVK/Dw8ODChQtMnTqV3377DYBXX32VBQsWKNtW9RaVlJQApp6chx56iKysLJYuXUpGRoay7ZAhQ5gxYwbW1tYsXbpUmXN0KVqtFp1Od9ltnJ2dmTVrFqNHj+bYsWPMmzdPSQH+xhtvMH/+/MvuL67MaDQSk15kmjsUm8Xh5Fwq9X/fxthqrRja3YPRPTswqocXvm6yCKsQ1zrJVieEEKLF5efns3r1aqKiotBqtQwbNoyoqCjeeecdZRt7e3u0Wq0qqYG1tTUnT56kZ8+egOnmd/z48axbt07ZxtbWlm7duhEXF4derwdM1/1Tp07h5+enOo7vv/+eRx99lIZ8tWk0Gl544QX27NnDkSNHANOvm5MnT+bJJ59k3rx5rFmzRjkGMDXsvLy8SE5OvmS93bt35+DBg7XmK4m6ySupYM9Z0yKsf8RlkVGozizXxd2BkcHejAj2YkigB462ltU7J4RoXdI4agXVvyhrjo8X4kokfkRjtGT8GI1GoqKiSE5Opn379txwww3Y29uzePFi/vGPf1BaWqraXqPRKHOCFi1apKwd9N577/H+++8r28XFxREYGKg8v3DhAp07d77kcTg7O7N+/XqKi4tZtWoV58+fx8nJibvuuovHHnuMP/74g9dff52YmBjVsdx1111MmDCBt99+m4SEBFWd/v7+fPHFF9xxxx0AFBYWUlZWhoeHh+pzPXfuHJs2bSI/P59OnTpx9913Y21tzRNPPMGaNWtqHeuwYcNYvXo1vr6+dfyUW5YlXn90egPHz+UTccbUIDpeI7OcvY0Vg7t5MCLYixE9vAnwcJTMcq3EEuNHtA0tGTvSOGoFx48fV9IRVl9zQ4i6kPgRjdFS8bNx40bmzJmjmiPk5uZG37592blz52X3vf322/nf//6nPN+6dSu33Xab8nzu3LmqHqbKykrs7OwwGo14e3tjZ2dHbm4uHTp04OGHH+a+++7jySefVHp3qnN3d+fnn39mxIgR7N27l5iYGOzs7LjxxhsJCAgATN8j27dv59ChQxiNRvr168ett97a6C/ouLg4Vq9eTXp6Oq6urowbN44BAwY0qs7mZgnXH4PBSFxmMX8m5rA/Poe9Z7MpLFMPYQzu0J7hfy3CekNXd+xt5EbcElhC/Ii2qSVjR9Y5EkII0SDl5eWsXbuWn376iaysLDw9PXnggQcoKirimWeeqbV9Xl6eqmE0bdo0Jk2aRGFhITNnzlR6Z06dOqXKKhcUFKSqp+aQtLVr1yrD4kaPHs3q1auVsrKyMgYOHFgrNXeV3Nxcxo4dy59//smwYcMYNmxYrW2srKy45ZZbuOWWW+rysdRZUFAQc+bMadI6r0YGg5HYjCL+TMjhQEIuB5NyyS2pUG3j4mDDsCBPRgR5cWOwJz4uDpeoTQghmla9G0dFRUW8//77HDt2jKNHj5KdnV3rV78qkZGRvP766xw4cACtVsvo0aNZuHAh3bp1q7Xt559/zpIlS0hMTKRTp05MmTKFWbNmYWNj06ATa0lOTk7odDqLy0Ik2gaJH9EYNePHaDSyYcMGlixZwp49e6isrCQ0NJQnnniCxx9/XJVaurro6GjuvPPOWsPN/u///k/1vF+/fowdO5azZ8+yZs0aDAYDAAMGDGDZsmXKdgkJCcycOROA1NRUDhw4wODBgwHo1q0bvXr1UtYl+uOPPzh+/DgBAQGsX7+el19+Waln2rRpqvdfvXq10jDy8/NjyZIl3HrrrZw+fZpXX32V7du3U1payrx58/jhhx/q92Feg1ri+mM0GknILmHf2Wz2xedwICGHvFL1mkMONtb0D3BjYFd3hgZ6EubrirWVDJWzdPL9JRrKkmOn3sPqkpKS6Nu3L+Hh4QQHB7Ns2TKzjaOqBfb69u3Lm2++SVlZGXPmzCEvL49jx47h5eWlbPvBBx/w9ttv8+abb3LLLbdw6NAhZs+ezeTJk1m6dKmqXkscVieEEJZAr9czdepUVq1aZbY8PDycbdu2qa6/AFlZWfTt25cLFy5ctv7JkyezYsUKpQfo1ltvVTLHubu7k5aWpqwflJCQQGBgoNID9M477zB37lwAsrOzGTBgAElJSZd9v1tvvZXNmzfXSte9e/duAHbv3q3qGSopKaFr165kZWWh1WrJysrC1dX1su8hmseF/Ivsi89RGkTphWWqckdba/oHuDOwqzuDunnQp7MLtlr5HhdCNL1mH1bn7+9PXl4eGo2G7Oxs1S+F1c2ZMwc7Ozs2btyIs7MzYFo8LygoiIULF/Lxxx8DkJOTw7x585g+fToffvghACNHjqSyspLZs2fz4osv0qtXr/oephBCXHPee+89VcPIx8cHZ2dnYmNjAdMY7/Hjx7Nr1y5Vg+Ozzz5TGkZhYWF89tlnDBkyhP3793PrrbdSVma6sXVzc1PtV72RlZuby6lTp+jXrx9g6h0KDQ1V1iSaN28ep06dwsHBgV9//VVZU8jKykrpfaru9ttvZ82aNbUm2p89exYAb29vhg4dqipr164dt99+O99++y06nY6UlBRpHLWQrKJy9ieY5gztj88mKUednMNWa8X1fm4MDfRgcHdPwnxdsJE1h4QQFqjejaO6ZITR6XRs3LiRSZMmKQ0jMDWsRo0axfr165XG0ZYtWygrK2Pq1KmqOqZOnco//vEPfvnlF2kcCSFEDeXl5fzyyy8cP34cKysrrrvuOv71r38BpgbHypUreeSRR7CysuLgwYPce++9pKWl8ccff7B//36GDBkCmIY8LV++HDCt5bNhwwYlPfbw4cPp1KmTMtRu9erV/POf/1S+B2644Qa+++475ZiqZ6srKytTGlVg+l5Yu3at6hy8vb35v//7Pw4cOMC2bdsoKSmhW7duTJ06laFDh5r9vqkaFlhQUEBxcTFOTk6q8nPnztXaVjS9/NIKDiTksj8+m/0JOZzJKFaVW2kgzNeVoYEeDOnuyfX+bpJEQQjRJjTLQL/4+HguXrxIWFhYrbKwsDC2bdtGWVkZ9vb2yq+Kffr0UW3n4+ODp6enUn45UVFR+Pv7qxpi5eXlShpXNze3WmthxMXFKV/kNbNkZGdnc/78ecA0pr36Kr56vV45Jicnp1rzpxITE5VfRENDQ1VjKfPz85WJx506dao1tOXEiRMYjUYcHBxqreaemppKbm4uAD169MDe3l4pKy4uJj4+HjDdbPj4+Kj2PX36tJIRpGZDMy0tjczMTMC0Fkf79u2VsrKyMuUXZ3d3d7p06aLa98yZM1y8eBGNRlPrb52VlaX8Eu3v76/69Van0xEVFQWYUvJ27dpVtW9CQoLS/dm7d29VBqm8vDxlUcXOnTvj6emp2vf48eOAae2RmpO+U1JSyMvLAyAkJAQ7OzulrLCwkMTERAA6dOhAx44dVftGRUWh0+mws7MjJCREVXbhwgWysrIACAwMpF27dkpZaWkpcXFxAHh4eNRK5xsbG0tZWRnW1tb07t1bVZaZmUlaWhoAAQEBuLi4KGUVFRVER0cD4OLiomThqhIfH6+sJdOnTx9V13FOTo5yA+nr64uHh4dSZjAYOHnyJADt27ene/fuqnqTkpIoKCgAoGfPnsoQKjDdrFYNk/Lx8cHb21u176lTp9Dr9djb29OjRw9V2blz58jJyQFMk9odHf9euLGkpETpLfDy8qJTp06qfWNiYigvL0er1RIaGqoqS09PVxb+7Nq161Vzjdi+fTsff/yxEnc1PfLIIzz22GPK8169ejFjxgxlWNv333+vNI7KysqUf6u9e/eu9TkEBAQojaOMjAxKS0uVGL/33nt58cUXlaFz7777Lk8++SSFhYV8/vnnyt/Nw8MDvV5Pfn4+YFrvaNy4cUyaNAl7e3smT56szE8C0zWial5RzWvETTfdREJCAuXl5bz44ossXbpUuUbs2rWLHTt2KJ9f9X8zVeQaYVLfa0RuSQUH/8omFxF9gaR89ZwhgF4+zoR62dDDFXp52dE/PFSuEch9hNxHmFzt14gqlngfUXOZiStplsZR1cGZW/DO3d0do9FIXl4ePj4+5OTkYGdnpwqE6ttW1XU5Op2u1oJ/RqORyspKpdzcPlXlNRkMBqXM3HCPmvUmJiYqk8qq11vzmKrXWz2/e/V6jUaj2SQUer2+UfVe6lyr11vzXKt/hubqrTpXc7/u1rXe5v7bXKrey8XLpT5DnU5ndnzq5f42dam36r/ExETVBf5y9VY/1/r+zev6GZrbv/ox1XSlc62oqMBgMJhNl9wUn6G5z6iu9VpKHNbl3/KmTZuURs6lVP+iqqq3+s1benq68tjW1lYZ2paZmYnBYFDF+fjx45UGB8DmzZu59957SUhI4NVXX1Wdw/bt29m+fbvqvR0cHFi8eDH3338/sbGx6PV6goKCKCkp4dy5c1RWVtbrGvHcc8+xbNkypccrOjqa2267jdOnT6t6psaPH2/2s2mr1whzZU11jTh79iw2NjbK9cdgMJBZWEZ0TiXnohM4nhZFbEZRrTq6uNgwsmcnhnT3YGA3D9zb2RIfH//XzWPt95RrhPqY6lKvpd9HJCYmUlxcLPcRXN3XiJqa6j4iMTERW1tb5drTnNeI+mjWFBGXG4JXvayu212KVquttZ1Go1EuDuYyYWi12ktmwrOyslLKzAVxzXoLCwuVX1ScnZ2V8prHVL1ec39YGxsbjEaj2eO1trZuVL3V/3+pemuea/XP0Fy9VZ+hub9RXett7r/Npeq9XLxc6jOsvk11l/vb1KXeqqFHVb8U1qXeqn0vV29jP8MrnWtNVzpXW1tb9Hp9s3yGBoOh3v9uLDEOr/RvubKykgULFijP7777bkaPHs3Fixf58ssvlV+UV6xYwaeffqocm5WVlfLLOqh/uLK2tmbAgAH8+eefXLhwgZUrV/L4448r5SUlJapjeOCBB2odl7W1NU5OTkrPUJXg4GDmzJlDnz59sLe3VzXQysrKGnSNCAsL44033mD+/PkA7N+/n/3796u2GTp0KI899thVc43Q6/Vmy5riGlFZWUl+QQEZFzXsz7TmcFIufyZkc76gvNY+Qd7tGdjVHR9tMb297PD1cqn1q7BcI0xa6xrR0vcRVfc/VWVyH3H1XSPMaYr7iMrKSoqKilTbNOc1oj4atQhsdnY2Xl5etbLVxcbGEhISwpIlS2qtjfHaa6/x6aefUlpair29PW+99Rbz58+npKRE1QUGpu7xm2++me+//155zRKz1ckiaKIxJH5EXX399dc88cQTADz44IP88MMPnDhxgsrKSoqLi7npppuUX/E+/fRTJSV2SkoKN998M2fOnAFgwoQJxMTEUFxcjJ+fH7179+bzzz9X3mfs2LEMHjyYAwcOsHHjxsseU/v27Vm9ejW33HILGzduJCoqCq1Wq6wxVN8vpbpas2YN7777rjIsBEw9Zk8//TRvv/22aqiGUCvX6Tl1voCDiXnsOJFEdFY5xZXqWwGNBkI6OjMgwI1B3Ty4oas7nu3tLlGjuFbJ95doqGtuEdju3bvj4OCgjDms7uTJkwQGBipjXavmGp08eZKBAwcq26Wnp5OdnV1r/KQlCg0NVS1wKER9SPyIujp8+LDy+Omnn0aj0ajiZ9SoUfz+++8AvPLKK/zwww+4urqya9cu5dddjUbDmjVrlHri4+PZuXMnrq6uSs/Ppk2b2LRpk+q9p02bxr333ss333xDcnIy7du35/bbb+fxxx9XhvHdd9993Hfffc36GVSZMGECDz74IJGRkZw7dw5nZ2cGDx6smkchTArLKolMzuNQUi6HkvI4nppPuU49FMbBxpq+XVwZEODG9QHuXOfnirO95a8zKFqXfH+JhrLk2GmWxpFWq+Wuu+5i3bp1fPLJJ0o2oZSUFHbu3MlLL72kbHvbbbdhb2/PypUrVY2jlStXotFouPfee5vjEJuUJS5gJdoOiR/REFVfKNXjZ8KECUrjCODQoUO19qsaLKDRaHByclKGc+bn59OhQwe0Wq0ykRxME5ZfeeUVZs6ciZWVFXfeeWeznE9DaDQarr/+eq6//vrWPhSLoTcYicss4mhKPsdS8jmWms+ZzCJqjhHxaGfLgAB3+ge4MSDAnV6dnCW1tqg3+f4SDWXJsdOgI9u8eTMlJSVKF1X1ibB33HEHjo6OvPvuuwwYMIA777xTtQisp6cnr7zyilKXu7s7s2fP5u2338bd3V1ZBPadd97hiSeekDTeQgjxl+qNgC+//JLhw4crjSS9Xs+KFSuUcj8/PyUjk6enJ46OjsrzyZMnM3/+fDp06MC+ffuYPHky8fHxZGRksHz5coKCgsjKysLT05PBgwdb9JfYtS6nuJzIlHwiU/I4lpLPiXP5lFTUnsjs7+FIf393bujqRv8Ad7p5trPIX2yFEKK1NWjOUUBAgDLxt6bExEQlHeCRI0d444032L9/P1qtltGjR7Nw4cJaEzjBtAjhkiVLSEpKomPHjso6RzUnXVninCMhhGgJxcXFdO7cWentGTduHNOmTaOsrIzPP/+ciIgIwJTGNDo6moKCAiorK7l48aKSDSgwMJCYmBjVZNfdu3czfPhwAEaPHq3qfRKWw2AwEpdZzJHkPI4k5xGZkkdidkmt7drZWhPm68p1fq707eJKXz9XvJ1kuKEQ4tpU37ZDoxIytAZLbBzl5+cr6W9lNXZRXxI/oj6++eYbpkyZcslyrVbLli1buOmmm5TX9u3bx9ChQwFTKuzqyRfANNTOxcWFoqIiAgMDlTU1ROsqLKvk2F+9QpEp+RxNyaOorHZ64UDv9vTzc6Wfnxt9/VwJ8nbC2qpuvUJy/RGNIfEjGqolY8EpvykAACAASURBVMciEjJca5KTk5WMG3JxEPUl8XPtysnJYdmyZaxevZqMjAzc3d257777mDFjBp07dza7z+TJk7GysuKll16qtQ5cly5dWLZsmaphBKgWZTTX8ElPT1e+OKpvK1qO0WgkMbuEw8l5HE3JIzLZ/FwhR1tT4oTr/d3o5+/GdV1ccXVseGY+uf6IxpD4EQ1lybEjjSMhhGgFhw4dYuzYscqq6GBqpJw+fZpFixaxdu1abrvtNrP7PvbYYzzwwAOsW7eObdu2YTQa6du3L88995zZ+UGhoaHKHKStW7eyZcsWpW6dTsfrr7+ubHvHHXc08ZkKc3R6A6fTCjmYmMvhpDwOJ+eSXVxRazs/d0dTr5C/G/383Ajp6IRWEicIIUSzkWF1TSArK0tZgMvLy6vVjkO0TRI/15709HR69+6t6vnp1KkTaWlpSjY5e3t7Dh8+TGho6GXrqmv8LFy4kNdee015fvPNNxMUFMSWLVtISEgAwM7Ojri4OLp06dKY0xNm5JdWcPxcAUdT8jicZJovVFojcYKt1opwXxelIdTPzw0vp+ZdW0iuP6IxJH5EQ7Vk7MicIyGEsHBvv/028+bNA2DYsGGsWLGCwMBAzp8/z7PPPsuvv/4KmIbQrVy5skneU6fT8eCDD7J+/Xqz5dbW1nz33XdMmDChSd7vWlahM/UKHU81pdI+lppvNnGCs72W/n+l074hwJ0+vi7YaWuvCi+EEKLhpHEkhBBXUF5eTk5ODs7OznWeY1NSUsIPP/zAkSNH0Gg09O/fnwkTJuDo6Fjv96/K+GltbU1ycrJqflFxcTFdunQhPz8fGxsb7rzzTpKSknB0dGTMmDFMnz79kvORrkSn07F48WI+//xzVcbRMWPGMGfOHG688cYG1Xst0xuMnM0s5sS5fE6cK+DEuXyi04qo0BtqbdvVsx3hvi5c7+/GgK7uBHs7YVXHxAlCCCEaRhpHQghxCcePH+eTTz5h7dq1VFSY5nfcdNNNvPzyy5eda/Ptt9/ywgsvUFBQoHrd1dWVJUuWMHHixHodh1arRa/XEx4ezrFjx2qV33LLLWzbts3svnZ2dixfvrze71mdXq/n9OnTFBcX4+fn1+DG1rXGaDRyLu+i0ht08lwBpy4U1BoeB+DmaEN4l79Saf/1X2MSJwghhGgYaRwJIYQZv/76Kw8++KDSKKpp7ty5vPPOO7VeX7VqFZMmTbps3atXr+ahhx6q87G4u7uTl5eHs7Mz6enpODg4KGU6nQ4nJyfKysqU1zQaDdUv1VZWVmzdupUxY8bU+T1F/RWWVXIitYBjqXlKg8hc0gRHW2t6d3Yh3NeFPr6uhPu64OfuKIusCiGEBZDGUSs4ceKEko4wLCys1Y5DtE0SP80vMTGRXr16KQ0ODw8PhgwZwqlTp0hMTFS2++WXX7jnnnuU5xcvXsTX15fc3FwAHnzwQWbMmIHRaOSLL77g559/BsDb25vU1FRsbevWMzB58mS+/fZbAF5++WUWLFiAlZUVRqORp556iq+++goAGxsb1qxZw913382FCxf4xz/+wapVqwAYPHgw+/btk/hpIlULrB5NMSVLOJqSz9ms4lqptLVWGnp1cibc15XwLqaGUDev9nVeV8jSSPyIxpD4EQ3VkrEj6xy1AqPRqPwnRH1J/DS/L774QmkYPfDAA3zzzTc4ODhgMBj4+OOPmTVrFgCffvop99xzD3q9HisrK9atW6c0jO677z5++OEHpTdg1KhR3HXXXWzatInMzEx+/fVXHnjggTodzwsvvMCqVaswGo3885//ZMOGDQwfPpzDhw9z/PhxZbtXXnmFcePGAaY1jFauXElkZCRRUVHs37+fmJgYiZ8GKiitJDI1j6PJeRxNzedYSj5F5bUXWO3i7kDfLm7K0LjQTs7Y21w9SRMkfkRjSPyIhrLk2JHGURNwcHDAxsbG7PoiQlyJxE/zW7duHWDqifniiy+UYWxWVla8+eabfPvtt8TExLB79266du1KUlISNjY2qrk406ZNUw2T0mg0PPHEE2zatAmAY8eOmW0cFRcX8/3337NhwwYKCgrw9fXl0UcfZfHixbzwwguAaWFWc4uzvv/++6rnVlZW3HPPPURFRQGQkJBAYGCgxM8VVPUKRabkEZls6hmKz6qdPc7BxprwLi5KGu2+fq54tm/eVNqtTa4/ojEkfkRDWXLsWN4RtUHBwcGtfQiiDZP4aX5VvT9dunTB09NTVabRaAgODiYmJgaApKQkACorK5XHYMpwV1P118x1z+/du5dx48apFnoF0xylAQMG8P333/PVV1+xc+dOpczJyUnp/k9NTaVr166qfasfU7t27SR+zCgp13EsNV9ZXPVYaj5FZbV7hQI8HOnn58Z1/m7083OlR4drb4FViR/RGBI/oqEsOXZkzpEQ4qpiMBjYsWMH69evJy8vDx8fH37++WeSk5PRaDQkJSXh5+enbF9WVoazszOVlZWAqbF03XXXkZGRwfnz55XtAgMDiYmJwdraNKRKr9czatQodu/eDcDGjRsZO3assn1MTAwDBgyguLj4ksfat29fDhw4QG5uLhkZGbi7u7Nq1Spmz54NwEMPPcR///tf5T0jIyMZNGgQlZWVuLq6cv78+QalEr+aGI1G0grKOJycx5GkXA4n5xGdVoihxjdbzV6h6/xc8bjKe4WEEEJIQgYhxFUiPT2d5cuXc/DgQYxGI3379mXatGmqhk1NCQkJ3Hfffap5OzWNHDmS77//Hh8fH0pKShg/fjxbtmwBTD0xkZGRBAcHYzAYWLp0KU8//bSy79ChQ3nqqacwGAx8+eWXHDhwADCtW3T27FmlEQPwyCOP8P333yvvuWDBAnr16sVvv/3G888/z7lz5wBYsWIFU6ZMUZ13t27duHjxIgAhISHcc889JCcn8/PPPyuNuFdffZUFCxbU5yO9KuSWVHD8XD4nUk1rCp04X0BWUe1evc6uDvTzd6O/vxvX+7sR0vHa6xUSQgghjSMhxFXgs88+47XXXquVdtvKyoq3336buXPn1kqTnJmZSf/+/UlNTb1i/Vqtll69epGQkKDq2fn44495/fXXVdsOHjxYaQRdqq7NmzcTHh7Ovn37KC8vx9fXl5EjR1JZWYmHhwdJSUmqxWZ3797N8OHDARg2bJjS+1Tlxx9/ZOLEiej1tdfPARgyZAjbtm276nuN9AYjMemFHEw09QgdT83nXN7FWttZW2no5ePM9X81hPoHuOHj4mCmRiGEENcayVbXClJTU9Hr9VhbW9OlS5fWPhzRxkj8qC1btoyZM2eaLTMYDLz77rvY2dnx1ltvqcoWLFigNIyCg4N5//336du3L7t27WL27NmqeT86nY4TJ07Uqv+ZZ56p9dr9999/ycZRYGAgH330Ed988w1r1qxRenWqu+2221QNIzA1iDp06EBGRobZRAwPPvgg3t7ezJkzR9VwcnNzY/r06cydO1dpGF1N8VOhM3DyfAEHE3M5mJjD4eQ8s3OFunm2I8zXhTBfV8K7uNDLxwUH26sng1xLupriR7Q8iR/RUJYcO9I4agK5ublKrnZL+wMLyyfx87eysjLefPNN5fkzzzzD888/j42NDV999RUff/wxAO+99x4zZszAzc0NMDV2li9fDoCtrS2///47vr6+gKmhFBISwogRIwDo1KkTWq2WCxcu4OLigpOTk5Lk4ODBg4wePVp1TAcPHlQef/jhh4BpXlL//v0JDQ3lxhtvJD4+/pLnZK4RVlpaSkFBAYBqAdjqRo4cyR9//MHZs2dJSEjAwcGB/v3719q+LcdPUVklkSn5HEnK5VBSHkdT8yirNKi2aW+n5Xp/NwYEuHGdnxu9O7vg4mDTSkd89WnL8SNan8SPaChLjh1pHAkhLMavv/5KTk4OYOqxWbJkiVI2f/58CgoK+PLLLykrK+O7777jueeeAyAtLU3JSDdmzBilYVTlxhtvJCAggKSkJAoKClRD6dasWcNDDz0EwEsvvcT//vc/OnfujNFoZO3ataxduxYALy8vXn75Zezs/p7EP3HiRKVh5OrqyuTJk/H29uaHH37g5MmTAJw8eZJNmzapkjV88sknyrpLNRtjNQUGBhIYGFjXj9CipReUcSgpl8N/NYZi0msnTnBztOGGru4MCHBnYFcPevrIXCEhhBAtRxpH/5+98w6L4mr78L303kGagmAjiIoFe8TYRWNNYnixa2yJGl9rYv/MqzHFmNhLNFGj0RijUWM0MSQWVFDsXVQQQaRLZ9n5/tgwYVw0IqCg574uLnbnnDlzZvbZs/Ob85znKQNq166NJEk6ayAEgidB2M8/FIbTBq3weJjg4GBWrFihU7donoSH/YpB646XlZWlUxegV69eeHt7c+PGDc6ePUv16tVp1aoV8fHxXLp0Sa43btw4hTCKj49n27ZtgNbd7cyZM/LTr6lTp1K/fn3Onz8PwOuvv05wcLAckCE0NFRup1DgPS0V1X4kSeJ6Qgbht1KIuJXMiVvJxa4XqmZnRmNPWxp72NHE0xZvRwv09CrWubzIVFT7EVQOhP0InpaKbDtCHJUBJiYmz7sLgkqMsJ9/MDIykl8XziAVJTExUX5dVKg4Ozvj5eVFVFQUhw4d4vjx4zRt2lQu37hxIwkJCYA24tzDx9y1axft2rUjPj6e/Px8Rd4hgLffflvh7gfaoApqtXY9zJAhQxRuAXp6eqxdu1bug0ajYePGjTrn89FHH+Hv7/+Iq/FkVBT7yVNrOH83TSuEbqZw8nYyKVnKNVh6KnjF1epvIWRHY09bqlhVjP6/rFQU+xFUToT9CJ6Wimw7QhwJBIIKQ+G6IIAvvviC4OBgzM3NAcjLy+PTTz8ttq5KpWLUqFFMmjQJgHbt2jFixAj8/f35448/+Oabb+S6xQVdeOWVV4iMjGTRokWsW7dODt7QtGlT3n33XYKDg3Wi2hRNAOvi4qLTZlGxZGBgIAsp0LrKzZw5k/79+//LFam4ZOSqOXX7n1mh0zGpOuuFTAz18K+qXS/UpLod/tVssTAWPzsCgUAgqLiIUN4CgaDCIEkSjRo1IjIyEtDmDxoyZAhGRkasX79edqUrLq9QTk4OHTp04PDhw49sf8CAAaxfv/6x0/gajYa0tDSMjY0fGyr7+PHjNGvWDICAgACOHTumaHfx4sWMHz8egJEjR9K7d2/S09Nxc3MjICCg0o1ZiRm58qzQiVtJXLxb/Hqhxp5a97gmnnb4ulpjZFC5zlMgEAgELxYiz9FzICMjA41Gg56enk7IXoHg3xD2o+Ts2bO8+uqrcjS3hzExMWH//v20bt1apywzM5Px48fz7bffKnIkWVpaMn78eGbNmqUQVKVBkiT8/Py4cOECACEhIXz44Yc4OjqyefNmpkyZIq9zOn36NPXr1y+T4z5MednPnZQsTtxMJvxWMsdvJhN1P1OnjrutKQGedjT2tCOgui1eDmK9UGVDjD+C0iDsR/C0PEvbEeLoOXDmzBk5HGF53QAJXlyE/ehy4cIFxo4dy8GDBxXbmzdvzuLFi2nSpMlj909ISGDv3r2kpqbi7OxMt27dymXw3bNnD927d+dxw2hISAgbNmwo82MXUhb2I0kSUYmZf+cX0v7FpuoGT6hdxZIm1bWzQgHV7USi1RcAMf4ISoOwH8HT8ixtRySBFQgElR5fX19+//13rl69yokTJ9BoNPj7++Pn5/dE+zs5OTFo0KDy7SQQFBTEt99+yzvvvEN2tq6YCA4OZs2aNeXej5KiLtBwOf6BvF7oxM1kEjPyFHX09VTUdbOm6d9htRt72GJrbvSIFgUCgUAgeDEQ4qgMcHJykrP8CgQl5UW3nytXrrBx40ZiYmKwtLQkKCiIjh07PtFsb61atahVq9Yz6OXTExISQqdOnVi3bh2hoaHk5uZSu3Zthg4dSqNGjcr9+E9iP8mZeURGp3DydgqnolM4E5NGdn6Boo6RgR7+VW1oWt2OgOr2+FezwVwET3jhedHHH0H5IuxH8LRUZNsRbnUCgaBcyMrKYvjw4Xz33Xc6ZT4+Pmzbtg1DQ0PWrl3LxYsXMTIy4tVXX2XgwIHY2Nj8a/snT57kwIEDZGdnU7NmTXr16iVHtnvZuZeeQ9iNJI7eSCTiVgpRibrrhSyNDWhQTSuGmnrZU8/dGmODivcjJRAIBAJBaRBrjgQCwTNHo9Fw/vx5kpKScHJyok6dOvTo0YM9e/Y8ch8TExNycnJ0tltYWLB69Wr69etX7H5Xr15l0KBBhIWFKbZbW1szc+ZM3n///QqZVK48Sc7M41iUVgwdvZFUbPAEb0dzGlazpaGHLY08bKkhkq0KBAKB4CVAiCOBQPDMkCSJr7/+moULF3L16lV5e7Vq1YiOjga0YmfWrFl07tyZK1euMGfOHM6dO/fYdlUqFT///DNBQUGK7Tdv3qRZs2ZyQtfimDVrFrNnz376k6oEpGXlc+xmEseikgi7kcTleOWYqFJBXVdrmnvb08zLjobVbLExE+uFBAKBQPDyIcSRQCB4JkiSxPvvv8/ixYsfW2/r1q288cYb8vsTJ07QtGlT+f2MGTMYOnQoKSkpLFiwgO+//x7Qut5duHBBMQvUp08ffvzxR0CbSPX999/H3d2dH374QY4Ip1KpuHLlCjVr1iyzc33epOfkE34zmbAbSYRFJXExLp2HR+7aVSxp7m1PC297mla3x9rM8Pl0ViAQCASCCoSIVvccuHjxohyO8JVXXnne3RFUMiqr/ezatUshjNq0aUOTJk04cuSIwuXN1tZWsd+OHTsU73v27ImHhwceHh5s3ryZ6OhowsLCuHTpEkePHqVly5YAxMXFsXPnTkC7kPPEiRNy26+//jrVqlXjo48+QpIkVq9ezcKFC8vlvMub/AINV+IfcDomlTMxqZyOSeX6/QwdMeTtaE4zL3uqGmfjY2+Ao6VJpbIfQcWgso4/goqBsB/B01KRbUeIozIgPz+f/Pz8590NQSWlstpPUWG0fPlyRo4cKb93cHAgKSlJrte+fXu57PLly4p2DAz+GYZUKhX9+vWTxdXly5dlcXTq1CkKCrQR1kJCQnRE13vvvcdHH30EwPHjx0t9fs+K+w9yibiVTMTtFE7HpHI+No1ctUanXnUHc5p52dHMy57mXvY4WZkA/+SKqIw2JHj+CNsRlAZhP4KnpSLbjhBHZYChoaHiv0BQEiqj/eTk5BAaGgqAl5cXI0aMUJR36tRJjlK3b98+JEmS3eNyc3PlepaWljqhuhMTE+XXRkb/rJMp6gFcVFAVUvT6aTS64qIiIEkSNxMzibiVQvjfguhmMZHkrEwMqF/VhgZ//9Vzt8HR0rjYNiuj/QgqDsJ+BKVB2I/gaanItiPEURlQ0aYDBZWLymA/t27dYsWKFezbt4/MzEzc3d1lsVK9enWd6HDvvfeeLI7UajUDBgwgKCiIy5cv89dff8n1nJ2dFQLo/v37rF69GtDOIrVu3Vouq1evHiqVCkmS2LRpEzNnzlSE7l65cqX8umHDhmV49k9PalYeZ++kcSYmlTN30jgdk6KTbFWl0q4XauxpS8NqtjSoaoOnvfkTR5KrDPYjqLgI+xGUBmE/gqelItuOCMggEAgeyzfffMPw4cMfOf1tYmLCnTt3sLe3l7fFxMTg4eHBkwwvjRs3Jjg4mOTkZNasWUN8fDwA3bt3Z9euXYq6QUFB7N27FwB/f3+mTJkiB2T46quvZLe78+fP4+vr+1Tn+7Rk5am5eDddK4buaNcL3UrK0qlnpK9H/arWNPG0o4mnNpKcCJ4gEAgEAkH5IKLVCQSCMuPAgQN06tRJFjkqlQoLCwud72CrVq1YsWIFvr6+REZGMmLECMLDwwEwNjZWuNLp6ekREBDAiRMnHun+5urqytGjR/Hw8FBsv3jxIs2bNyc9Pf2RfR43bhxffPHFU53vk1IohM7FpnEuNo3zsWlcT8hAU8xo6mFvRn13G+pXtaG+uzV13awxMRTJVgUCgUAgeBYIcSQQCMqMli1bcvToUQCGDh3KRx99hJOTE6GhofTv35/Y2FhFfVNTU7Kzs+X3Tk5OhIWFER4eTkxMDJaWlnTu3BkPDw/279/PxIkTFTmPVCoV3bt358svv9QRRoWcOnWK4OBgrly5othuZGTEf//7X+bNm1fm40FiRi4nbiZzPCqJ4zeTuXrvQbFCyMnSGD83a60QqmpDPTdrbM1FfiGBQCAQCJ4XQhw9B+Li4igoKEBfXx8XF5fn1g9B5aSi2s/169flXEG+vr6cPXtW8T07cOAAHTt2fOT+bm5u7Nmzh/r16z+yjiRJnDhxgkuXLmFkZETLli0fKYqKotFoOHDgAL///jvZ2dl4e3sTHByMk5NTCc7w0cSn5XD8plYIHY9K4sZ93aAJhUKorps1fm7W+LlbU+XvCHLPkopqP4LKgbAfQWkQ9iN4Wp6l7VSYPEehoaG0bdu22LKwsDCaNWsmv//tt9+YMWMGZ86cwczMjG7durFw4cIyu9EpbxISEuRY7WJwEJSUimo/0dHR8usuXbroDCLt27fHyMiIvLw8XFxcqFGjBklJSTg6OtKvXz9CQkKwsLB47DFUKhVNmzZVJIV9EvT09OjUqROdOnUq0X7FIUkSN+5nEH4rhfCbyYTfTiYmOVunXh1nS5pWt6Oplz2NPGyfixAqjopqP4LKgbAfQWkQ9iN4Wiqy7ZR7tLr//e9/OiKpbt268us///yTLl26EBQUxM6dO0lISGDKlCm0a9eOiIgIjI2LD18rEAjKl6LC5vr16zrl0dHR5OVpI695eHgootBVZDQaiYtx6YTdSOLErWQibiWTkqUMNqGngldcrWha3Z6m1e0IqG6HjZlwjxMIBAKB4EWn3MVRzZo1FbNEDzNp0iRq1arFDz/8IOcuqV69Oi1btuTrr79m1KhR5d3FUuPt7Y1GoxHrngRPRUW1nwYNGuDs7Ex8fDy7du0iNDSUwMBAQBuee/LkyXLdrl27Pqde/juSJBGdnMWR60kcuZ7I0RuJOmLIxFCPBlVtCPC0o7GnHQ09bLEwrhyZDiqq/QgqB8J+BKVB2I/gaanItvNcf/1jY2MJDw9n/vz5iqSOLVq0oFatWuzYsaNSiKN/cx0SvLyo1Wp++eUXTp8+LbuQtWvXTjEYVFT7MTIyYsyYMcyYMQONRsNrr71Gly5dqF69Onv37uXmzZsAmJmZMXz48OfcWyVxadkcj0om7EYSR24kcidF6SZnbqRPUy97mnlpxVBdV2uMDCreAP0kVFT7EVQOhP0ISoOwH8HTUpFtp9zF0ZgxY+jXrx9mZmY0b96cGTNm0KpVK0CbiwS0yR0fpl69ehw5cuSJjnHhwgU8PDywsrKSt+Xm5nL58mUAbG1tqVatmmKfa9eukZWlzUHy8ILxxMREOQpXtWrVsLW1lcsKCgrkfltaWuLl5aXY9+bNm3KYYV9fX4XoS01N5fbt24A2VLGjo6Ni37NnzyJJEqamptSqVUtRFhMTQ3JyMgC1a9fGxOSf9Q4ZGRncuHED0EYHe9h38+LFi7Jf58NJt+Li4khISAC0Kr6osebk5MgRwezs7Khatapi36tXr5KdnY1KpdL5DO/fv8/du3cBrcuVjY2NXKZWq7lw4QIAVlZWVK9eXbFvVFSUvHCubt266Ov/E/Y4JSVFXgvj5uaGg4ODYt8zZ84A2hv2wmAChURHR5OSkgJAnTp1FC6b6enp8s1+lSpVcHZ2Vux74cIF1Go1xsbG1KlTR1F29+5d7t+/D0CNGjXkxKS7du1izJgx3LlzR1G/Zs2arFq1isDAQK5cuUJOTg76+voKd1PQ+uPGxcUB4OnpibW1tVyWl5fHpUuXALC2tsbT01Ox7+nTp7l58yampqZ06NBBvoZZWVmsX7+eEydOoK+vz2uvvUa/fv3kco1GI0ePs7CwYPLkyRw9epRffvkFSZLkHEOFGBgYsGHDBpydnUlLS+PWrVsAuLi46KwZPH/+PAUFBZiYmFC7dm1F2Z07d0hKSpKvj5mZmVyWmZkpu/U5Ojri6uqq2Pfy5cvEJGdyKVHNnTwTjt9M5vZD+YUM9KC+mxWv1namVU176rnboFHna8eIlAziEWOEGCOe/RgB2u/ktWvXALC3t8fd3V2xb3mNETdu3CAjIwMAPz8/xQObpKQkedxyd3dX5DB7eIzw9vZWtHvr1i3S0tIA8PHxUSR5fp5jRG5uLgYGBjr5z+Lj47l37x6g9VoR9xFijBBjhJYXaYwo/J4+KeUmjqytrRk3bhyBgYHY29tz/fp1PvnkEwIDA9mzZw+dOnWST8LOzk5nfzs7O7n831Cr1TrJJiVJkpNWqtXqYvd5VFJLjUYjlxWXh+VJ2324T0XbLUxW+XC7kiRhaKibELKgoKBU7T7qXIu2+/C5Fr2GxbVbeK4qleqp260on82/nWt+fj5qtbrY6d/iPpsff/yRvn37FpsE9dq1a3Ts2JH9+/fj4OBAfn5+scd83Gde9FyL7nv27FnmzZvHjh075Gvg4+PD2LFj0dfXZ/LkyaSmpsr1v/76az788EPWrVsnrw0sbDc/Px8jIyN++uknPvvsM5YuXaoI3d2+fXvmzJlDixYtnuga5uXlodFoFD9ST3KuD7ebmpXHhbvpnI9N48LddI5dv0dCpvJ4eiqo62aNr6MRXub5+DgY4edTS/HDkJNf8exQjBG67VaUz6asx4iStFuWY8TD7RbHk17D4vYv2qeHeVZjRHH9LfzuPG27FcUOxRih225F+WzEGKHbbkUaI0pCuYkjf39//P395fetW7emV69e+Pn5MXnyZEWUqeK+FI/b/jAGBgY6dVUqlTw4FH3qUnSf4gYP0EbCKiwrzogfbjcnJwdJklCpVIp2H+5T0XaL+2ANDQ2RJKnY/urr65eq3aL/H9Xuw+da9BoW127huRb3OT1pu+X92TyqNaxNDAAAIABJREFU3cfZy6OuYdE6RXn4s8nJyWHEiBHyl7Fp06b07t0bY2NjtmzZwrFjx8jPz2f48OHs2rULAwMD9PT0yMnJUTzJ09PTIy4ujqysLGxsbBRPzYqea2F/9+/fT48ePcjJyVHUu3Tp0mPdU2/fvk3nzp357bffcHJy4tdff0WtVlO/fn1q166NkZER06ZNY9KkSezfv5/79+/j4uJCYGCg4onPv11DIyMjCgoKnugaFpKTX0DYzRRCr2RzIyWPW2kpxD84q7O/ngpq2hsR6OtOMy97GnvYYmliqHgq/DzHiEe1WxZjROH4U/S4Yoyo2GNESdstDHdbknYL931cu4X2lJ2djb6+vjz+POk1/LdzfZjyGCOepF1DQ0M0Gk2Jf1sroh1WtPuInJwc+dqqVCoxRryAY0RxlMUYIUmSbD+FY095jhEl4ZnnORo1ahQrVqwgKyuLv/76i86dO7Nnzx6dBd1vvPEGR44ckadUC6mIeY7OnDkjTzc/LqeL4OVg06ZNhISEABAUFMTPP/8sfzHVajWtW7fm2LFjgDZXkKOjo8J+NBoNq1atYtGiRVy9ehXQfrE7d+7M9OnT5Zmaoty/f58aNWrIrhhOTk506NCBqKgowsLCFHXfeustBg0aREZGBosXL+bw4cMAmJubk5mpzOfToEEDFi1aJAdiKG8KNBLnYtM4cj2RI9cTibidQp5a96lUNTsz6rpZ4euqzTFUmQIolDVi/BGUBmE/gtIg7EfwtDxL26kweY4eRaEWU6lUsm/kuXPndMTRuXPndHwnBYLKwIkTJ+TX7733nuKJhYGBAaNGjZLF0YkTJwgKCpLLNRoNAwcOZOPGjYo2JUnil19+4cCBA2zatIlu3bqxf/9+EhISsLe358KFC7IwCgoKYtu2bZiamgIwfPhw1qxZA2h9qDdt2iQ/kenZsyf169fn4sWLOsIItGuXOnTowK5du+jSpUtZXB4FeWoNl+LSiYxOISwqibAbSaTnKF0ZXKxNCKhuh5+bNb6u1rziaoW1afFPswQCgUDw7+Tk5MhrXEqDoaGhPGsUExNTBj0TvCyUte04OjoqvG9KwzMVRykpKezevZsGDRpgYmKCm5sbAQEBbNy4kYkTJ8o3bMeOHePKlSuMHz/+WXbvqbGzs3vklKbg5aPoZGxxU79Ft2k0GoX9LF++XCGMWrduTe3atTlw4AC3b99GrVYTHByMubm5LIZAOa29ePFiWRiB0uc3KyuL06dP06hRI0Ar1gpzFYF20fGECRMwMzNjw4YNnD59GrVazcCBA4mOji7VwCNJEjHJ2UTGpHA6JpXTMalcuJuuMzNkaWJAC297WtZwoGUNB7wczEs8Jf4yIcYfQWkQ9vPykZOTQ0JCAm5ubqX+3PPy8uRlBUXdrAWCf6MsbaegoIDY2FicnJzKRCCVmzgKDg6mWrVqNG7cGAcHB65du8Znn33GvXv3WL9+vVzv448/pkOHDrzxxhuMHj2ahIQEpk6dSt26dRk8eHB5da9MeTj6iuDlpkGDBvLr1atX89prr8nvJUmSZ3FAGwHmwYMH5OXl4enpyeLFi+Wybdu20bdvX0ArcAYNGsR3331HQUGBQhjBPwsi9fT08PDwUJQ9LCwKo8SAdoa2aILXKVOmMGXKFADGjRtH165d5XVG27Zto3///k98HXLVBZyPTSPiVgoRt1M4dTuFpMw8nXo2ZobUd7ehiactrWo6UtfVCgP9yhlW+3kgxh9BaRD28/Jx//79MhFGgBBEgqemLG1HX18fNzc37t69WyZjWrmJo3r16vH999+zYsUKMjIysLOzo1WrVmzYsIEmTZrI9QIDA9m7dy8zZ86ke/fumJmZ0a1bNz755BNFiESBoLLw1ltvMWHCBNLS0tiyZQuSJDF8+HDy8/P56quvOHjwIKANPzpixAg5YIChoaE8y9OmTRtZGBWWtW3blu+++07eNnDgQFq0aEF4eDhr165FkiQ0Gg0zZ87kf//7n1yvYcOGigcSbm5u8us//vhD0ffWrVvLrwuj2+3fvx+Av/7667HiKDkzj1O3tUIo4lYyZ2PTdGaFDPVVvOJiRYOqNjSoZkODqrZ42puJmSGBQCB4hoiZQsGLRlna9DMPyFBaKmJABsHTIUkSUVFRJCcnU6VKFZ0cEpWZdevWMWTIkKfev0+fPvzwww+KbYGBgfz555+ANtdBYmKiXDZhwgQWLVoEgLGxMWFhYfj7+5Oens7UqVNZvny5XLd3795yQIZp06bJOTPc3d2Jjo5WCJXTp0/LUScHDBjAN998A/z92SVmcvJWChG3k4m4nULUfd01S/bmRjT0sKWxhy2NPW3xdbXGxFD8KAsEAsHzIiYmRswYCl5IHmXbFT4gg0AgSRIbN27k008/5ezZf8Iyt2jRgg8++EARoKC4fY8ePcratWu5cuUKxsbGtGnThuHDh+sk/nueDB48GJVKxfjx4xVubAAmJiZyuG19fX26dOmCra0tu3btkuvu3LmT7Oxsee2QRqORo8oBOsnPPvroI5YuXUpeXh65ubk0bNgQd3d3EhMTdUJ7//jjj/z44486fX446R9oI+8BqIxMsazRmKV/XCcyOoWTt1NIydLNU1DDyYLGHrY08rClsaedmBUSCAQCgUBQqRAzR2XA1atXUavVGBgY6GSkFiiRJImJEyfy+eefP7LOokWLig3GkZ2dTUhISLE39kZGRixfvrxUszXlQWZmJt9//z2nT59GT09PTsial5eHubk5hw8fxszMDLVaTXZ2Nq+99pq8nigwMJCtW7fi6OjIiRMnaNq0qdzuypUreeeddxTHatKkCREREcX2Q6VSERwczC+//CJnSC9EX19fTrbWv39/xo6fwP08A9bt+oM/zkRh6FILQ3t3VCrld8zYQI/67jY08tTODDWsZoutufA/f9aI8UdQGoT9vHyU5cxR0TyPZRUpTPByUB62I2aOKhDZ2dlyrHbB4/npp58Uwqhp06b4+/vz119/cfHiRQDef/99WrZsqVibBto1NsUJI9BGPRk6dCh2dnb07Nmz/E6ghJibmysE25YtW+TocMOGDaNBgwaKWP8zZsxg0qRJAISGhuLi4oK9vT0JCQmKdosmWAaIiooiMjIS0K5lqlWrFjdv3sTCwoJOnTrx7rvv4ufnR05ODjt27ODcuXNI+kZ4+DXlRmIma77fjaG9O78bV+XPLdGo9PQBL8z9vORjuNuaUr+qDf5VbWjkoXWRMzIQ7qzPGzH+CEqDsB9BadBoNPINrkBQEiqy7Yg7mzJApVLJf4LHU7guBmDJkiUcO3aM5cuXc/78eSZPniyXFY3aBhAREcG2bdsAsLCwYO3atWRmZnLr1i2GDh0q1/vggw94lpOh+fn5bNmyhY4dO+Ll5YWvry/jxo3jypUrxdYv+uTCx8cHUNrPW2+9pahfUFCgI4xAmyR569atxMbGsmPHDjp37izP/owfP57w8HASExO5desWS5ctx7SKJz+fuctXf97it9wa/GnVns35TVhwSsO2aFOsm7+BWa3m2hkiPX0KcjLIvnmKtKNbaM0Fjk97jcNTXmNpcEOGtfbCv5qtEEYVBDH+CEqDsB/Bi8T69esVNl30b+LEiYB2fe2wYcPkfa5fv45KpVKk0Th8+DCzZ8/WiQwreDkQbnWCZ8aDBw+wsrICoFatWly+fFnxg5ydnY2LiwtpaWnY2toq3L/GjBnDsmXLAFi6dCmjR4+WyyRJomXLloSFhQEQFhZGs2bNyv187t+/T9euXYt1ZdPT02Px4sW8++67iu2//PKLnPC4Z8+e7NixQ1G+evVq2V2uQYMG5OTk8ODBA6pWrcqbb77J8uXLuXbt2iP75FGzDqu37uVOJly8m87l+AdcvfeA3IeixhXiYGGEt6MFNZwscLXQ49rJw0RFHkGVm079evUYMmQInp6eJbksAoFAIKjAvMgBGdavX8/gwYNZt24dderUUZS5urpSrVo1IiMjsba2xstL6xlx/fp1atasyYYNGwgJCQFgwYIFTJs2jZiYGNzd3Z/5eQieDuFWJ6h0ZGRkyK9r1aql86TS1NQUDw8Pzp49q2PEN27ckF/36dNHUaZSqejTp48sjm7cuPHU4igpKYnU1FScnJywtLR8ZL2CggJ69OihEEZWVlZkZmZSUFCARqPhvffew9XVld69e8t12rVrh7OzM/Hx8fz0008sWLCAsWPHYmpqyi+//MK0adPkuitXriQgIEBx3DfffJNevXoRHh6BvpUjRk6eGDl5YeTkhXnVOkhmdgzfclGnv6aG+tR2tsTHxQofF0vqOFtRq4oFNmYPrRHq4AuMKOFVEwgEAoGg4lC3bl0aN25cbNnDbunPkqysLMzMzJ7b8QVPhphuETwz7O3t5UV3hw4d0hFAt2/f5vz584BuYsLCqG0AsbGxOm3fuXOn2LpPyo8//kirVq1wcHCgRo0a2Nra0qdPH8LDw4ut/+uvv8pizNXVlQMHDpCamsr9+/cVwSRmz56tcPMzMjLiww8/lN9PmzYNe3t77O3tCQoKIikpCYAuXbrIa66SMnI5eiORdUdu8tWxJNwGLqLWBz/jPuprnPrMxKZ1CGa1WyCZ2QHgZmNKe58qjH2tBitCGhI6MZALczrx05iWzO/tx4DmngRUt9MVRgKBQCB4acnKU1eIv/LmYbe6h5k+fbr8oLJq1aqyW17RiLGbN2+mWbNmmJmZYWlpSefOnTlz5oyinZCQEGxsbDhz5gwdOnTA0tKSjh07ls9JCcoUMXMkeGYYGRnRr18/1q9fT1paGv369WPZsmV4eHhw8eJFhgwZgkajdf/q3Lkz06ZN486dO1hbWyvCdM+ZM4ft27djYKA136ioKNatWwdok6W2atWq2ONrNBoOHjzIH3/8QW5uLjVr1uStt95iwYIFfPzxx4q6BQUF/Pjjj+zatYvvvvuON954Q1FemO8HtG5+7du3B8DW1pbPP/+csLAwjh8/zrlz5xS5gkDrInj37l3mz58PaCO2yKG9Lexp8NrrvDp8PMO/jeB8bDrx6cpQ3PL11NfD28kCHxdLXnGx4hVXK15xsRKiRyAQCAQl5pWZvz7vLgBwa8Gj03k8KQUFBajVSqFVeM/wb4wcOZKUlBSWLVvGrl27cHR0BMDX1xeAuXPnMnv2bIYNG8aMGTPIzc1l4cKFtGrVioiICEWqjZycHHr06MGoUaOYNm2avDZYULER4qgMuH//PgUFBejr68tfIkHxTJ48ma1bt5KVlcXevXvx9PTE0dGR+/fvy3UKw3I/jJ6eHhqNhl27duHn50ffvn1JSEhg06ZNZGZqE5D269cPJycnnX1PnTpFSEgIly5dUmwvDKtdSJ06dfDz8+PQoUPEx8ejVqsJCQmhYcOGeHt7y/Wio6Pl14VriApRqVR07dqV48ePy3WLiiOVSsXc/5tH43bdWbNtLxfvpqGxdsPAsToaI3MSgRWHY4rUh2p2ZtSqYkkdZ0tqO1tSu4olng7mGOqLyd+XHTH+CEqDsB/Bi0hxrvX5+flPJJDc3d1l7xV/f3/FmqNbt24xd+5cxo8fr4i826FDB2rUqMHcuXPl/IAAubm5/N///R/9+/cvzem8kOTn/5MrsaJFyxTiqAy4e/euHApV/Lg8Hh8fH3bu3Env3r1lt7qHhVFRsVKUwlklgMuXLzNv3jxFeZ06dYrNn3T+/Hnatm1bbNSZosdatGgR48aNQ6VSkZuby9ChQ9m0aRN5eXksXbpU0XbR9UhXr16lbt26inavXr0qvzYxs+DEzWTOxaZxKS6dy/HpXL2XQZ5aAzbNwEbr36oB9PVU1HSywNfVmrpuVvi5WePjYoW5sfiqCopHjD+C0iDsR1DIxbmdSrxPVla2HI7ZzKzkLu3lxbfffitHhC3kSWeOHse+ffsoKChgwIABipkpU1NTWrduTWhoqM4+RdcdC/4hPz9fth0hjgQvDWq1mj179vDbb7+RlZWFl5cX/fv3p3379ly7do3Vq1fzww8/kJycjLOzM6+88orsrmZtbc3cuXPp0KEDFy5cYNasWXIepMKABoWYmpoSEhLC/Pnzsbe31+nHhAkTZGHUoEEDJk6ciLOzM+vXr1eE7uzevbscJMLY2JgvvviCrVu3kp+fr5OfKSgoiAMHDgAwZcoUtm/fLq+n+vPwUXYcvYh1q2AsqvvzXmgeeb+H6fTLzEgbJMHJMJ+qVnrUcjChe+tGmBrpl+q6CwQCgUBQUsyMnuKWUK3/jzh6mv3LCR8fn0cGZCgN9+7dAx4d1MHISOnWbmVlhbm5eZn3Q1C+VBxLrsR4eHig0WhEOPEihIeH89Zbb3Hz5k3F9pkzZzJ69GgWLVrE9OnTmT59ulxWdKHixo0b6datG6Ad5F599VW8vLzIzMzkwYMHREZGEh0djbGxMQEBAdja2gJaQbZ7924iIiKQJAl3d3dZxHh4eHDkyBE5Uoybm5tCHK1Zs0ZeBwTg4OCAu7s7N2/eJDExkWnTphEXF4etrS0dOnTAxsaG1AeZHAi/RI32b1OzcRvuFViQaeKA45v/J7eTV6DBwcKIhtVsFdHiqtmZoaenIjU1VbYfIYwEJUWMP4LSIOxHUBoeFgMvOg4ODoA2ob2bm5tO+cNReEX+sEdTkW1HiKMywMbG5nl3QSY7O5sTJ06QkZGBh4cHvr6+z/zLefHiRdq1a6cTjQ60rnFLliwhOzubNWvWKMrOnTsHaAefoCDlgkwnJyeCgoLYunUrmZmZGBkZ8frrryvq7N69m5EjRxYbzQ5gwIABihCaVapUQaVSydHkHo5MFxUVpRV3Kj2yMGbRhp/Qt3LC0KGATbeOYBP8OVbm9qj0tIKmUAaqAPWDJGzy7jNxYA9a1XLG29H8kZ9DRbIfQeVD2I+gNAj7EZSGsnBVq4gYGxsD2nuqonTu3Bl9fX1u3LhBjx49nkfXXhgqsu1U3J4JSkROTg5z5sxh5cqVpKSkyNsbNWrEnDlzdMRGeTJ58mRZGDVp0oQPP/yQatWqsWPHDj7++GPy8vJYu3YtI0eOVEx7F35RcnNzyc/P13mqUDRP0sNfqt27d9OjRw/FuqSHuXz5suK9ra0tbdu25eDBg+gZm3M5KZ+1oVeIyyjgelwSRyIv4jZ6PfrmtrIAKoqEVgjpqXPIjo8iL/E2eXFXscpNYOR/+jJ58iR5gBUIBAKBQFA58PPzA+CLL74gJCQEQ0ND6tSpg7e3N7NmzWLq1Klcv36dTp06YWNjQ3x8PCdOnMDa2pqZM2c+594LSosQRy8AOTk5dOnSpdiFgCdPnqRbt26sXr36sXH9y4qYmBj27t0LaN3WQkND5dkaf39/HBwcGDduHACrVq1SiKPmzZuzbds2Hjx4wJo1axg9erRcdv78eX79VRtmtEqVKlSvXl0uy8/PZ+TIkbIwateuHaNGjUKlUrFo0SI5N8H27duJir1HYp4hV+894HpCBol+wbj5DMLAQpsj6P/2Xf/nZKzc5S+IpFFjbSjhbmeBqTqdU3/sIf7KKfITo5kwehgTP/8vt27dwtTUFB8fnwr9REQgEAgEAsGjadeuHZMnT2bDhg2sWLECjUbDoUOHaNWqFTNmzKBu3bosXryYTZs2kZubi4uLC02aNJGXAwgqNyqpaIbKSoBGo9Fx17K0tHyu/tJqtVpekPg8bopnz57NnDlzAO2MyhtvvEGNGjXYvXs3kZGR8varV68qREV5sG/fPrp06QLAf//7Xz799FNFeWZmJhYWFgAEBATI4a4BQkNDadu2LaAN2z1gwAA6duzI+fPnWbZsGampqQDMmDGDuXPnyvv99NNP9OrVC9AOaL/++iuJmfncSMjg6r0HfPDxl2jMnTB0qIq+ue0j+65OTyA/MZr8pDuo0xMoSE9E/SCRggeJ7N/1A6/93TfQhvOsVasW+fn5ODg4EB8fj77+060Xet72I6jcCPsRlAZhPy8fMTExOonWnxZJkmT7EetrBCWhPGznUbZdUu0gRsIy4MKFC3Io1Pr16z/TY+fl5ck5gfT19Tl06JAc33/OnDmMGjWKlStXolarWbFihU6y07KmqEB42Ff34W0Pi4nAwEBGjhwpP6VZv34969evV9Tx9/dn8uTJANxNzeZaQgabTsRg23YoBrYuZNQLwHf2fnLy/3GvM3qlvaINddo98pNiyEuM1oqhxGiG9O2KniqPnUd3kpWWhqurK7du3SIvLw9PT0/aBgYq2vD09OS1117TCrHEROLi4hS5EErC87QfQeVH2I+gNAj7EZSG7OyiobzN/n0HgeBvKrLtCHFUyTl//jwJCQkAdOvWTZH4TKVSMXfuXFauXAnAgQMHyl0c+fv7y7mKvvvuO2bOnEmVKlXk8kWLFsmvmzdvrrP/0qVLcXV15dNPP1XkJdLX16f3WyG8NXYG8w/c5PD1RG4nZf1d6oVVgBcA8dkAGvRUUNXOjJpOlpAez5aVi8hP0s4KSfk5cruWlpbMnz2b999/H5VKxdKlS+Uya2tr8vLyyMnJkb/ARcnKypJfP+2skUAgEAgEAoGg4iDEURlgZWWFWq1+Li4JRW/Qq1WrplPu4OCAqakp2dnZxc7kPCmSJJGdnY2+vv5jgww4ODjw5ptvsnHjRlJTU2ncuDHvvfeeHJBh69atgFa4jRgxQmd/PT09ZsyYwYQJE9i+82cib6eQoLIlxbgKEQlZnNjxT1AFfT0V3o7mGOamEXbgZ/JT4qjv5cqG5Z/jbmeGob4ekiTRrVs3Mi8cBGDWrFno6emRk5NDzZo1eeONN2Q3v4dp3rw5v/76K/Hx8WzZsoXg4GC5LCIigkOHDgHaWSRnZ+eSX9S/eZ72I6j8CPsRlAZhP4LSoK+vX+zDQ4Hg36jItiPWHFVyYmNjZXcuT09Prl69qsg0XHQNUNeuXdmzZ0+J2k9NTWXJkiWsWbOG27dvA9oIdGPGjCEkJKTYGZO7d+/SrFkzYmJiHtnu3LlzmTFjhvxekiRuJmYSGZ1KZEwKkdGpXI5/QIFGaZ7ejua0rulIyxoONPOyw9LEkPz8fDw8PIiLiwOgS5cujBw5Ej09PVasWCGfs5OTk5wb6UnYuXMnPXv2BLRrtoYPH05gYCCnT59myZIlsh1+/PHHsqufQCAQCAQVmbJccyQQVCTKas2REEcvAJ06dWL//v0A9OzZk4ULF1K9enX27NnDqFGjZNGwbds2+vbt+8TtxsTE0K5dO65du1ZseY8ePdi2bZtCjBUSHR3NsGHD5ASshdjb2zN79mzGjBlDUmYev5yP5/dL9zgdk0pqVr5OO06WxjT3tqdVDQda1nDA1ca02L7s3LmTXr168ShzVqlUbNu2jT59+vzbactIkkRwcDBbtmx5ZJ1mzZpx8OBBTE2L75dAIBAIBBUJIY4ELypCHBXhZRdHx44d49VXXyU/X1dcFBIQEMCRI0ee2HVCkiQCAgKIiIgAtOKiadOmpKWlcenSJbnepEmTWLhw4SPbuXTpEr/99htZWVl4eXnRul1n/ryRws9n4jh6I5GiE0PGBnr4uVnjX80G/2q2NKhqg4u1yRNPue7YsYNRo0Zx7949xXYnJyeWLl1aImFYiFqt5sMPP2TJkiUKF0YDAwOCg4NZsmQJlpaWJW5XIBAIBILngRBHghcVIY6K8LKII0mSOHjwIMuWLePIkSOo1Wp8fX0ZNmwYFhYWDBgwQJEotZDmzZuzc+dOHB0dn/hYv//+O+3ba6O8eXp6sm/fPmrXro0kSezZs4fevXuTn5+PhYUFsbGxWFlZPbKtlMw8/riSwM9n7nLoWiLqIoqonrs1QX4uNPe2p46zFUYGpfsc8/Ly2LlzJxEREUiSRKNGjejZs2epk7Gmpqaya9cu4uPjsbGxoVu3bri6upaqTYFAIBAInjVCHAleVIQ4KsLzFkdRUVHyglYvLy9F2Z07d7h37x729vZ4eHg89cIzjUbD6NGj5chzD9OiRQu+/fZbtm/fzr59+8jIyMDDw4NBgwbRuXPnEkdTGzlypHysLVu28NZbbynKR4wYwapVqwAYMGAAeXl5aDQa6tevT69+/bmdZcCxqGSORSVxOV75edVxtqR7fVe61XPBw968RP16EXmc/QgE/4awH0FpEPbz8lGW4ig3N1deVF/ah5CCl4vysB2R56gC8eDBAzlPRCF79+5l/vz5HD58WN7WsGFDJk2aRL9+/Up8jAULFiiEkY2NDaampvJ6oqNHjzJ27Fj27NlTJsEBEhMT5ddNmzbVKW8U0Az9LT+hb27DtiOX0Te3wdCpOoduWLNq1Vmd+rWqWNDVz4Vu9Vyp4VR8dLiXleLsRyB4UoT9CEqDsB9BaSgoKKiwEccEFZuKbDtCHJUDixYtYsKECTrbT506xdtvv82ZM2eYP38+ubm5JCQkYGZmhr29vU79goICVCoVOTk5fPLJJ4B27c+yZcsYOnQoBgYG/P777/Tr14+kpCT27t3LyZMn8fGrz+X4B+TkF5Cn1pCr1pD3919CUgppDx7g4WRL3equuNqYYGdupGOcjo6O6JlYYuhQjUW7T2LlnsG1hAfEpeWQ+CCXzDwn3Ed9/chrkHf/Nv5uFozu24GA6nY4WoonSgKBQCAQCASCio1wqysDCgoK5NcRERGKRKw+Pj60bt2aiIgITp06JW/v2LEjhw8flhf5N2zYkLFjx9K3b1/WrVvHqlWrOHfuHHp6etSoUYOrV68C0L9/f7799lvF8VesWMGoUaMwdnuFpm+PJ9G0Kpl5BTwpJoZ6uNqY4mZjiqOlMffSczgXnUR63uP3k9T5FGSlYG2sT21PV9ysjEg4f4Qfli9Ak52OsbExsbGxxQo/wT8UtR+RTFZQUoT9CEqDsJ+Xj7J0qyt6C1kRZgDWr1/P4MGDAfjjjz8IDAxUlEuSRM2aNblx4wZt2rQhNDT02XdSAGhT0axatYqePXvi7+//m1fAAAAgAElEQVRfJm0Kt7oKRNEflMWLF8uvp0yZwvz58+UBo+iMUmHo7UJOnTrFoEGDmDBhAsnJyfJ2jUYjCyOANm3aKPaLTc0m3t4f13dWYWjrym2AvAIcLIyxNTPEyECPxHtx3I66gVSQh6TWRrTTt7BF39IRA0t7cvI1RN3PJOp+ps65qVPjyUuMJj/xNu6W+mQn3uH2lfMUZKYi5Wkj0J2/fr3IoPgqo7NjWL58Obm5uWzatImxY8eW+Jq+TIgbEkFpEPYjKA3CfgSlQaVScevWLVatWqUIFDV8+HCaNGny3PplaWnJ2rVrdcTRn3/+yY0bN0SU2QpAXFwcc+fOpXr16mUmjsoKIY7KmMKEo7a2tsyePVvxJGXQoEFMnDgRjUYDaDOTBwYGcvv2bc6cOQOgEEZ169YlOzubGzduyNuWLFtB4459OHsnlX0X4jl6IwlJAkNbVzR52VSV7rNo7Fs08bRFpVIRGhpK27b/BFPw8fGhadOmHDu2ncuXL4O+AQYW9ixZtxn7ajW5l56Do6UxtapYYq5Op3uX/3LlyhUAUos534fPEbSzW8uXLwfg4sWLpbiaAoFAIBAIKiqLFi1i0qRJihnIo0ePsnr1agYOHMjq1aufy3q2t956i02bNrF06VJFNN21a9fSvHlz0tPTn3mfypLs7GxMTJ481YmgZLz48a+fIZIkydN2np6emJiYKMo3btwoCyOAkydPsnPnTk6fPs38+fPl7Xp6ehw5coRTp8+w86+TjP1iC3Ydx+A8YBHJr31Ij6VHmLHzAkeua4WRXuJ1End/zp0l/fmwgwcB1e0Us1WFzJo1iwsXLrBu3TouXrzI9OnToUCNOu0e+zcuoW8jd8a0rcGbjavSoKoNNatX48SJE8yfPx9vb29A+5TIw8NDbjMzU3e2KTX1HxklFvkKBAKBQPDisX79eiZMmKAQRkX55ptveO+9955xr7S8/fbbAGzevFnelpaWxvbt2xkyZIhO/by8PObNm0edOnUwNjbG0dGRwYMHc//+fUW977//no4dO+Li4oKpqSk+Pj5MnTpV514oKiqKfv364erqirGxMVWqVKFdu3acPn1arqNSqZg9e7ZOXzw9PRk0aJD8fv369ahUKvbv38+QIUNwdHTEzMyM3NxcAK5du0ZwcDBOTk4YGxvj4+PD0qVLFW2GhoaiUqn47rvvmDJlCi4uLlhYWNC9e3fu3bvHgwcPeOedd3BwcMDBwYHBgwfrpIaRJIlly5bRoEEDTE1NsbW1pW/fvkRFRSnqBQYGUrduXcLDw2ndujVmZmZ4eXmxYMEC+R44NDRUnlkcPHgwKpVKcT2e5PqVJ0IclQEpKSkkJSWRmpqKu7s7AOfOnSM2NlZRb9u2bfJrExMTnFzcOR+bxr7z8ZxINcMmcDAOr0/GMfhj3juQRu3pvxD05WF2xllg6d8FY5eaqPQNKchKxyztJi6JESStH8PNtePJvHAQn5pedO7cWT6GWq1m7969ALi4uDB9+nRZNKlUKmbOnImTkxMAu3fvVgi3QqysrJg6dSrXr18nJyeHvLw8tmzZIpd/9dVXikFBrVbz2Wefye9btWr11Nf1ZaHQflJSUp53VwSVEGE/gtIg7EfwNOTn5/Phhx/K78eOHUtsbCzp6eksWbJEDs28atUqhffLs8LKyoq+ffvy9df/BI7avHkzenp6OqlJNBoNPXr0YMGCBQQHB7Nnzx4WLFjAgQMHCAwMJDs7W6577do1unbtytq1a9m3bx/jx49n69atdO/eXdFm165dOXnyJAsXLuTAgQMsX74cf39/xcPjkjJkyBAMDQ3ZsGEDP/zwA4aGhly8eJEmTZpw/vx5PvvsM3bv3k1QUBBjx45lzpw5Om188MEHJCQksH79ej777DNCQ0N5++236dOnD9bW1mzevJnJkyezYcMGPvjgA8W+I0aMYPz48bRv356ffvqJZcuWceHCBVq0aMG9e/cUdePj4/nPf/5DSEgIu3btokuXLkybNo2NGzcC2nX2a9askfsUFhZGWFgYw4YNK7frVyKkSkZBQYGUmpqq+CsoKHiuffrzzz+lXbt2SWFhYdIHH3wgARIgtWzZUrpy5YqUmZsv7Q+/LDk0DpJs2gyUHPvMlOpM3CJ5Tt0teUx5/F/dmfukfivDpP8s3CaZ1W4p6Vs5ye0X/XN2dpYuX76s6Fd6erpc3qZNm2L73qpVK7lOVlbWE52vRqORGjZsKO9Xo0YNaeHChdLixYslf39/RZ9yc3NLe3lfeE6fPi2Fh4dLp0+fft5dEVRChP0ISoOwn5eP6OjoUrexe/du+be+S5cuUmZmpqJ83rx5cvn06dNLfbwnZd26dRIghYeHS3/88YcESOfPn5ckSZKaNGkiDRo0SJIkSfL19ZXvizZv3iwB0vbt2xVthYeHS4C0bNmyYo+l0Wik/Px86c8//5QA6cyZM5IkSVJiYqIESF988cVj+wpIs2bN0tnu4eEhDRw4UOecBgwYoFO3U6dOkru7u5SWlqbY/u6770omJiZScnKyJEmSfC26d++uqDd+/HgJkMaOHavY3rNnT8nOzk5+HxYWJgHSZ599pqgXExMjmZqaSpMnT5a3tWnTRgKk48ePK+q+8sorUqdOneT3hw4dkgBpxYoVinpPev2K41G2XVLtIGaOnhJJkvjhhx9o2bIlbdq04fXXX6d169ZcuHABGxsbAI6Gn6LZ6E/xmb6H4T9cx7zdKKybvYFZjQCy9S2QJLA1M6R+VRvcpQTSw38i+ffV3P9pPp90dOLEB+04M6sjm99phltiOFlXjlCQnoCtra3cD0tLS8aMGUNERAS1a9dW9NHCwgJra2sAwsPDdZ4MJiUlERERAWjXSD3sBvgoVCoVX3/9tezHe/36dSZPnsy4ceOIjIwEtO5033zzDUZGRk9xdQUCgUAgEFRUis4Gvf766zrlvXv3Lrbus6RNmzZ4e3vz9ddfc+7cOcLDw4t1qdu9ezc2NjZ0794dtVot/zVo0ABnZ2dFRLuoqCiCg4NxdnZGX18fQ0NDOVDWpUuXALCzs8Pb25tPPvmEzz//nMjIyGI9c0pKnz59FO9zcnL4/fff6dWrF2ZmZoq+d+3alZycHI4dO6bYp1u3bor3Pj4+AAQFBelsT05Oll3rdu/ejUqlIiQkRHEcZ2dn6tevrxP1z9nZmYCAAMW2evXqcfv27X89z/K6fiVBBGR4CiRJYuLEiXz++eeK7Wq1mp07d2JoaIh9vbaYtOyPgZXWba0gM4X8xBht5LekaNws9Fj/5QKaNfAlNzeX9977hiMHtVOMBgYG+Dqb42SlFSt//fUXS5YsAbSi48KFC+Tm5qJWq6lateojMwurVCr+85//sGzZMrKysggODmbVqlVUrVqV6Ohohg0bRk5ODqANolCShX3169fn8OHDjB49WpHoFrRfgC+//FInsp6geNzc3NBoNM81HL2g8iLsR1AahP0IngZTU1P5dXx8vM764jt37hRb91miUqkYPHgwX375JTk5OdSqVYvWrVvr1Lt37x6pqamPfJibmJgIQEZGBq1bt8bExIR58+ZRq1YtzMzMiImJoXfv3rL7nUql4vfff2fu3LksXLiQ//73v9jZ2fGf//yHjz766Kkj5bm4uCjeJyUloVar+eqrr/jqq68e2/dC7OzsFO8Lz/lR23NycrCwsODevXtIkkSVKlWKPY6Xl5fifXEpXIyNjRUuigYGBor/hZTX9SsJQhw9Bd99951CGPn4+ODj48Nff/1FSo4G6/YjMK/dEgC9rGTyj23ELjeeHj16sOnEfqKiorgCNPffTZ06dYiLiyMtLU1uT61WU7duXVq0aEF2drYiP9KAAQN0viCPY8KECXz77bdkZGSwb98+PDw8cHNzIzY2Vs5PYGVlxfjx48nIyCA+Ph4LCwuqVKnyr2LJz8+PQ4cOce7cOY4fP45Go6F+/foEBASICColwMHB4Xl3QVCJEfYjKA3CfgRPw2uvvSa/XrlyJSNGjJDvTXJzc5k3b55c3r59+2fev0IGDRrEzJkzWbFiBR999FGxdRwcHLC3t2ffvn3FlhfejB88eJC7d+8SGhqqePhb3DoYDw8P1q5dC8DVq1fZunUrs2fPJi8vjxUrVgBasVAYVKEoSUlJxfbj4fsqW1tb9PX16d+/P2PGjCl2n+rVqxe7vaQ4ODigUqk4dOhQsQ/kH/WQ/nEUiqLi0gk8yfUrT4Q4KiGSJPHpp5/K75csWcLo0aORJFh3+Dr/+/k8BfpGSJoC6urH88OnQzE16i/XHzBgAB06dODWrVsA2nDaRXBwcCAxMRFJkjhy5IiiLDAwkC+//LJE/fX29mbXrl307NmT9PR0JElSPNGxtrbm888/54MPPmD79u3k52vzIPn7+zN+/PgnmlHy8/PDz8+vRP0SCAQCgUBQOfH29qZbt27s3r2b+Ph4fHx8CAkJwcrKis2bN8v3OK6urgoXu2eNm5sbkyZN4vLlywwcOLDYOt26dWPLli0UFBTQtGnTR7ZVeC/0sBBYuXLlY/tQq1Ytpk+fzvbt2xUPuz09PTl79qyi7sGDB3WixD0KMzMz2rZtS2RkJPXq1SvXZQzdunVjwYIFxMbG8uabb5ZJm4XXsehsUnE86vqVJxVCHGVkZDB9+nS2bt1KcnIyderUYerUqfTr1+95d02H6OhoOZRgo0aNGDNmDJm5akLWHicyOhX0jci9e4WkfUswdzDBdP47iv1r1KhBZGQka9asYd26dURFRWFubk6HDh0YO3Ysvr6+fPnll6xevZro6GgAfH19GTVqFMOHD38q42/bti2XL19m1apVbN26laSkJBwcHHjzzTepUaMGQ4cOld3rComMjGTgwIEcOnSIVatWiZkggUAgEAgEMitWrKBly5bcvn2btLQ0nfDRpqambN68+almFcqSBQsWPLa8X79+bNq0ia5duzJu3DgCAgIwNDTkzp07/PHHH/To0YNevXrRokULbG1tGTlyJLNmzcLQ0JBNmzbJeSoLOXv2LO+++y5vvPEGNWvWxMjIiIMHD3L27FmmTp0q1+vfvz8zZsxg5syZtGnThosXL7JkyRJ5rfiTsHjxYlq1akXr1q0ZNWoUnp6ePHjwgOvXr/Pzzz9z8ODBkl2sR9CyZUveeecdBg8eTEREBK+++irm5ubExcVx+PBh/Pz8GDVqVIna9Pb2xtTUlE2bNuHj44OFhQWurq4kJiY+0fUrV0ocCqIc6NChg2RjYyOtWLFCOnjwoDRs2DAJkDZt2qRT93lHq4uMjJQjsAwdOlTePnJDhOQ7c5+0/shNycXVVQIkFxeXpz6ORqORUlJSpPT09LLodrHExcVJFhYW8vk4ODhIb775piLiHCAtX7683PogEAgEAoHg2VEW0eoKiYuLk/r37y8ZGRkp7hvat28vnTx5ssyO86QUjVb3OIpGq5MkScrPz5c+/fRTqX79+pKJiYlkYWEh1alTRxoxYoR07do1ud7Ro0el5s2bS2ZmZpKjo6M0bNgw6dSpUxIgrVu3TpIkSbp37540aNAgqU6dOpK5ublkYWEh1atXT1q0aJGkVqvltnJzc6XJkydLVatWlUxNTaU2bdpIp0+ffmS0uked082bN6UhQ4ZIbm5ukqGhoeTo6Ci1aNFCmjdvnlynMFrdtm3bnuh6zZo1SwKk+/fvK7Z//fXXUtOmTSVzc3PJ1NRU8vb2lgYMGCBFRETIddq0aSP5+vrq9HPgwIGSh4eHYtvmzZulOnXqSIaGhnL0vie9fsVRVtHqVJL098KT58TevXsJCgriu+++k5N2AXTs+P/t3XtQVGUfB/DvwgIrrAoCggteGi4iITpTFDmT2pjXJBWHUTM1bXRSK5nJ1DQFBayZakZzxibHHDUVy9QcDS1vWTnmVN7xisiAeEEucltuyz7vH/vuac/u4brALvH9zDA153nO43PO+e1z9tnznOcZg8zMTOTm5srGIxqNRmmhVbPu3bt32Mukjx49ksbVhoaG4tatW7h69SoKyqvh4qpGcC8tIiIiAJiGpnXUI8DWSElJwZo1awCYZptJT0+Hp6cnAODbb7/F7NmzAQBhYWG4efMmX9htJ5cvX0ZdXR3c3NwwZMgQR1eHOhnGD9mD8dP15OXloW/fvm1Sll6vhxACRUVFuH79OgwGAyIjI21e0CeyZo4dlUolffe0V0Ox3dK+g8O/7R48eBBarRYJCQmy7XPnzsWDBw9w/vx5B9VMWWBgoPQiYlZWFhITE6HX6+GjcUVNyWPZqsYzZ850UC2b59ChQ9L/f/nll7LgnDVrFoYPHw7AtOiZ9btRRERERIDpfelx48Zh4sSJ7BhRp+fwztG1a9cwaNAgm6n8oqOjpXRns3LlSukdnE2bNmHUqFGYNm0a4uLipDnlAwMDFefTdybmGVZ69uyJ/v3726Rb/opoOZsetS1PT094eXm12S8n1LUwfsgejB+yh4uLi/RH1BLOHDsOn5ChqKhI8VcG85zrDU1paCkzMxP9+/eXFiUFTFNJmp92+Pj4oF+/frJ97ty5A71eDwA2QwkKCwuRn58PAOjXr59s0dX6+nr4+flh1apVWL9+PYxGI6qqqpCdnS2r+4YNG2zmYn/69Km0AJZOp4O/v78s/cqVKxBCoFu3bggPD5el5eXlobi4GAAwcOBA2YKtFRUV0iJrvXv3tpnq+/r169KwicjISGm7TqfD3bt3UVpair1792LixInQarUATLPynThxQsqrNPry9u3bqKqqgkqlkjqzZk+ePMGDBw8AmKZkNC+MC5imKs/MzARgmkbceqrJ7Oxs6fFnVFSUbFhlSUmJNFFFUFCQzTS05hcjPT09ERYWJkvLzc2VFsKNiIiQvSRaVlaGe/fuAQACAgIQGBgo2zczMxMGgwEeHh7SsEmzBw8e4MmTJwBMQy29vLykNL1ejzt37gAwzfsfHBws2/fWrVuorq6Gq6urtBibWUFBAR4+fAjANKuN5UuatbW10oJzPXv2xIABA2T73r17V5rxZvDgwbLGp6ioSJqxMDg4WLYegdFoxNWrVwGYFhEOCQmRlZuTkyN1lAcNGiSbIKS0tFSaoahPnz7o3bu3bN9r166hvr4eGo3GZsHi+/fvS5/1sLAw2Re1yspKZGVlAQD8/f2h0+lk+968eRM1NTWm9cGefVaW9ujRIzx+/BiAaUrTjmojzD/qdO/e3aZ9u3fvHsrKygCYJlux/GGoNW2EOc7z8vKk+G+rNgIAHj58iIKCAgCmF2jNbQRgWgPj1q1bAEztnvVwBrYRJm3VRkRFRcnS2EaYsI34V3O+R7i5udmsbVVfXy9NK61Wq20mf6qqqpKGQFmuW6TRaFBbWwuDwQC9Xg8PDw+bVyHMEz4plVtdXS0t8GndQa+rq5Nm0HV3d5edByGENMuZq6urzaQPNTU1qK+vB2CaGMJyUimDwYDa2loAprUjrddoMl9TFxcXWTtqXa5Go2nwHCqV29A5BCCdQwA257Cpa2M+h0rlNnYOLa+N0jm0vDaNncPGrk1Lz2FT18Z8DpXKra2tRXl5OS5fvmzTRpivaXM5vHME2M7d3tw0M4PBYPPlXQghBYQ54Kz3MadbMxqNUprSqrx1dXWYNGkSYmJicPjwYRw+fBhlZWUIDg7GhAkT8Nprr8HHx8emTpblmgPDulwhhE0wmPOb921NuUrH+sYbb+D3338HAKxZswahoaF4/vnnUVFRgdWrV0s31ujoaJubDfDvOVS6Rpb1tT6H7X1tmlNuY/HS0Dk0GAyKv3A0dm2aU25dXZ1iWmPlmvdtqlwlzT2HSvtb1slaU8daW1sLo9GouKZBW5xDpXPU3HKdJQ6drY2wLrexz7JSuWwjIOVnG8E2wrpOzSm3PdoI65E6Zo29gi6EaDK9qTSlPK0t13K/tiy3qfo6Y53M5drzb7Z03+Yca2vKbWpf82epsXKVPustnV7B4Z0jX19fxadD5qck1qv2KlGr1TY3X5VKJTUOSg2BWq1WbDwAU0/XnKZ0ozOnRUVF4fXXX5elWf7iY10ny3KVGn83NzcIIRTr6+rqKu3bmnIt/2v25ptvIi0tDffv38edO3cQExODkJAQPHz4UNbLnj9/vmK55nOo9MXHsr7W57Ajrk1T5TYWLw2dQ8s8lhq7Ns0pt76+XjGtsXLN+zZWrr3nsKljtdbUsbq7u6O+vr5dzqHRaGzx58YZ49DZ2gjrchv7LLONYBthXSdrbCPkdWpOue3RRjT0o3Nzfqhu631VKlWrfiC33K8ty22qvvbWqTXlNrWv+d+15zy0dF97jtWeOrm4uEhP3xoqVynGW7ocjcNnq1uwYAHS09NRUlIi+zDv3bsXM2bMwNmzZzFs2DBpu6Nnq/uvuXHjBsaOHYu8vDybNJVKhU2bNjW48jIRERF1Lnl5eQgODub6hfSfIoTA/fv3/xuz1U2ZMgUVFRXYv3+/bPuOHTug0+kaXa3YWeTm5iI7O1sa596ZDBo0CFeuXMFnn32GqKgo9OjRAzqdDm+//TYuXbrEjlEH6MzxQ47H+CF7MH66Hg8PD+mdEHvV1NRIf0Qt0daxU1VV1WYLDjt8WN348eMxevRoLFy4EGVlZQgNDUV6ejqOHTuGXbt2KT42djYlJSXSy8zWL2x2Bt7e3li6dCmWLl3q6Kp0SZ09fsixGD9kD8ZP1+Pr64v8/Hz06dOnwWGBzVVfX9/gMCeixrRl7NTV1aGwsBBBQUFtUDMn6BwBwIEDB7Bq1SqsWbMGxcXFiIiIQHp6OqZPn+7oqhERERH9Z7i6usLf3x8FBQWKk0W0RHl5ufQF13qGXqLGtGXsuLi4wN/fv80eqDj8naOWcsZ3jmpqaqQL3FaP9KjrYPyQPRg/ZA/GD9mD8UOt1ZGx09K+g1M8Oers2CCQPRg/ZA/GD9mD8UP2YPxQazlz7Dh8QgYiIiIiIiJnwM4REREREREROuGwusZWzHUUy3GMfCGRWorxQ/Zg/JA9GD9kD8YPtVZHxo5SP6GxKRc63YQMBoMBlZWVjq4GERERERF1Ql5eXlCrlZ8RcVgdERERERER2DkiIiIiIiICwM4RERERERERgE74zpHRaLR5sUqlUkGlUjmoRkRERERE5IyEEDYTMLi4uDS4CGyn6xwRERERERG1Bw6rIyIiIiIiAjtHREREREREANg5sktFRQUSExOh0+mg0WgwdOhQ7N2719HVIidz6tQpzJs3DxEREfDy8kJQUBAmTZqEf/75xybvhQsX8Oqrr0Kr1cLb2xvx8fHIzs52QK3JWW3duhUqlQpardYmjfFDSv744w9MmDABPj4+6NatG8LCwpCSkiLLc+LECbz00kvw9PSEn58f3nrrLRQUFDioxuQsLl68iMmTJ0On08HT0xMRERFYt24d9Hq9LB/bnq6tvLwcy5Ytw5gxY+Dv7w+VSoXk5GTFvC2JlU2bNiEiIgIeHh545plnsHbtWtTV1bXjkZiwc2SH+Ph47NixA0lJSTh69ChiYmIwY8YM7Nmzx9FVIyfy1VdfIScnB0uWLEFGRgY2btyIgoICxMbG4tSpU1K+mzdvYuTIkaitrcX333+Pbdu24fbt23j55Zfx5MkTBx4BOYv8/HwsXboUOp3OJo3xQ0r27NmDESNGoGfPnti5cycyMjKwfPly2cvJZ86cwfjx4xEQEIBDhw5h48aNOHHiBEaNGoWamhoH1p4c6fr16xg2bBhycnKwYcMGHDlyBNOnT8e6deswY8YMKR/bHioqKsKWLVtQU1ODyZMnN5ivJbGSlpaGJUuWID4+Hj///DMWLVqE9evXY/Hixe19OICgVvnpp58EALFnzx7Z9tGjRwudTicMBoODakbO5vHjxzbbysvLRUBAgBg1apS0LSEhQfj5+YnS0lJpW05OjnBzcxPLli3rkLqSc5s4caKIi4sTc+bMEV5eXrI0xg9Zu3//vvDy8hILFy5sNF9MTIyIjIwUdXV10razZ88KAGLz5s3tXU1yUqtWrRIARFZWlmz7ggULBABRXFwshGDbQ0IYjUZhNBqFEEI8efJEABBJSUk2+ZobK4WFhUKj0YgFCxbI9k9LSxMqlUpkZma2z4H8H58ctdLBgweh1WqRkJAg2z537lw8ePAA58+fd1DNyNn07t3bZptWq0VkZCTy8vIAAAaDAUeOHMHUqVPRo0cPKV///v3xyiuv4ODBgx1WX3JOu3btwpkzZ7B582abNMYPKdm6dSsqKyuxfPnyBvPk5+fjr7/+wqxZs6BWq6Xtw4YNQ3h4OGOnC3NzcwMA9OzZU7bd29sbLi4ucHd3Z9tDAJq3pE5LYuXYsWOorq7G3LlzZWXMnTsXQgj8+OOPbXsAVtg5aqVr165h0KBBspsJAERHR0vpRA0pLS3FhQsX8OyzzwIA7t69i6qqKil+LEVHRyMrKwvV1dUdXU1yEgUFBUhMTMSnn36K4OBgm3TGDyn57bff0KtXL9y8eRNDhw6FWq1G79698c4776CsrAzAv/eqhmKH97Kua86cOfD29sbChQuRnZ2N8vJyHDlyBF9//TUWL14MLy8vtj3UbC2JFXO7M3jwYFm+Pn36wM/Pr93bJXaOWqmoqAi9evWy2W7eVlRU1NFVok5k8eLFqKysxKpVqwD8Gy8NxZQQAiUlJR1aR3IeixYtwsCBA7Fw4ULFdMYPKcnPz4der0dCQgKmTZuGEydO4MMPP8TOnTsxYcIECCGajB3ey7quAQMG4Ny5c7h27RpCQkLQo0cPxMXFYc6cOdi4cSMAtj3UfC2JlaKiInh4eMDLy0sxb3u3S+qms1BDGnuE2NTjReq6Vq9ejd27d2PTpk147rnnZGmMKbK2f/9+HD58GBcvXmwyBhg/ZMloNKK6uhpJSUlYsWIFAGDkyJFwd3dHYmIiTp48KeVtKD4YN11XTk4O4uLiEBAQgB9++AH+/voRA8cAAAR2SURBVP44f/48UlNTUVFRgW+++UbKy7aHmqu5seLImGLnqJV8fX0Ve67FxcUAlHvGRGvXrkVqairS0tLw7rvvStt9fX0BKD9xLC4uhkqlgre3d4fVk5xDRUUFFi9ejPfeew86nQ5Pnz4FANTW1gIAnj59Cjc3N8YPKfL19cWdO3cwduxY2fbx48cjMTERFy5cwJAhQwA0HDu8l3VdK1asQFlZGS5duiT9gj98+HD4+flh3rx5mD17NgIDAwGw7aGmteQ+5evri+rqauj1enh6etrktf5hua1xWF0rDR48GDdu3IDBYJBtv3r1KgAgKirKEdUiJ7Z27VokJycjOTkZK1eulKWFhISgW7duUvxYunr1KkJDQ6HRaDqqquQkCgsL8fjxY3zxxRfw8fGR/tLT01FZWQkfHx/MnDmT8UOKlMb2A5Cm8XZxcZHuVQ3FDu9lXdelS5cQGRlpM7QpJiYGAKThdmx7qDlaEivmd42s8z569AiFhYXt3i6xc9RKU6ZMQUVFBfbv3y/bvmPHDuh0Orz44osOqhk5o5SUFCQnJ+Pjjz9GUlKSTbparUZcXBwOHDiA8vJyaXtubi5Onz6N+Pj4jqwuOYnAwECcPn3a5m/s2LHQaDQ4ffo0UlNTGT+kaOrUqQCAo0ePyrZnZGQAAGJjYxEUFIQXXngBu3btQn19vZTnzz//xK1btxg7XZhOp0NmZiYqKipk28+dOwcACA4OZttDzdaSWBk3bhw0Gg22b98uK2P79u1QqVSNrqXUJtp1ovD/uNGjRwsfHx+xZcsWcerUKTF//nwBQOzatcvRVSMn8vnnnwsAYty4ceLcuXM2f2Y3btwQWq1WDB8+XGRkZIgDBw6IqKgoodPpREFBgQOPgJyN0jpHjB9SEhcXJzw8PERKSoo4fvy4+OSTT4RGoxETJ06U8pw+fVqo1WoxZcoUcfz4cbF7927Rt29fERUVJaqrqx1Ye3KkQ4cOCZVKJWJjY8V3330nTp48KdLS0oRWqxWRkZGipqZGCMG2h0wyMjLEvn37xLZt2wQAkZCQIPbt2yf27dsnKisrhRAti5XU1FShUqnEypUrxa+//io+++wz4eHhIebPn9/ux8LOkR3Ky8vF+++/LwIDA4W7u7uIjo4W6enpjq4WOZkRI0YIAA3+Wfr777/FqFGjhKenp+jRo4eYPHmyzQJ8REqdIyEYP2RLr9eL5cuXi759+wq1Wi369esnPvroI5tOzy+//CJiY2OFRqMRvXr1ErNnz1ZcwJq6llOnTokxY8aIwMBA0a1bNxEeHi4++OADUVhYKMvHtof69+/f4Pece/fuSflaEisbN24U4eHhwt3dXfTr108kJSWJ2tradj8WlRD/H3xMRERERETUhfGdIyIiIiIiIrBzREREREREBICdIyIiIiIiIgDsHBEREREREQFg54iIiIiIiAgAO0dEREREREQA2DkiIiIiIiICwM4RERERERERAHaOiIiIiIiIALBzREREREREBICdIyIiIiIiIgDA/wByagDhuHUQOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sensor_var = 20.\n",
    "process_var = .001\n",
    "process_model = gaussian(1., process_var)\n",
    "pos = gaussian(0., 500.)\n",
    "N = 100\n",
    "dog = DogSimulation(pos.mean, 1, sensor_var, process_var*10000)\n",
    "zs, ps = [], []\n",
    "for _ in range(N):\n",
    "    dog.velocity += 0.04\n",
    "    zs.append(dog.move_and_sense())\n",
    "\n",
    "for z in zs:\n",
    "    prior = predict(pos, process_model)    \n",
    "    pos = update(prior, gaussian(z, sensor_var))\n",
    "    ps.append(pos.mean)\n",
    "\n",
    "book_plots.plot_measurements(zs, lw=1)\n",
    "book_plots.plot_filter(ps)\n",
    "plt.legend(loc=4);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is easy to see that the filter is not correctly responding to the measurements. The measurements  clearly indicate that the dog is changing speed but the filter has been told that it's predictions are nearly perfect so it almost entirely ignores them. I encourage you to adjust the amount of movement in the dog vs process variance. We will also be studying this topic much more in the later chapters. The key point is to recognize that math requires that the variances correctly describe your system. The filter does not 'notice' that it is diverging from the measurements and correct itself. It computes the Kalman gain from the variance of the prior and the measurement, and forms the estimate depending on which is more accurate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Bad Initial Estimate\n",
    "\n",
    "\n",
    "Now let's look at the results when we make a bad initial estimate of position. To avoid obscuring the results I'll reduce the sensor variance to 30, but set the initial position to 1000 meters. Can the filter recover from a 1000 meter error?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sensor_var = 5.**2\n",
    "process_var = 2.\n",
    "pos = gaussian(1000., 500.)\n",
    "process_model = gaussian(1., process_var)\n",
    "N = 100\n",
    "dog = DogSimulation(0, 1, sensor_var, process_var)\n",
    "zs = [dog.move_and_sense() for _ in range(N)]\n",
    "ps = []\n",
    "\n",
    "for z in zs:\n",
    "    prior = predict(pos, process_model)    \n",
    "    pos = update(prior, gaussian(z, sensor_var))\n",
    "    ps.append(pos.mean)\n",
    "\n",
    "book_plots.plot_measurements(zs, lw=1)\n",
    "book_plots.plot_filter(ps)\n",
    "plt.legend(loc=4);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again the answer is yes! Because we are relatively sure about our belief in the sensor ($\\sigma^2=5^2$) after only the first step we have changed our position estimate from 1000 m to roughly 50 m. After another 5-10 measurements we have converged to the correct value. This is how we get around the chicken and egg problem of initial guesses. In practice we would likely assign the first measurement from the sensor as the initial value, but you can see it doesn't matter much if we wildly guess at the initial conditions - the Kalman filter still converges so long as the filter variances are chosen to match the actual process and measurement variances."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Large Noise and Bad Initial Estimate\n",
    "\n",
    "What about the worst of both worlds, large noise and a bad initial estimate?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sensor_var = 30000.\n",
    "process_var = 2.\n",
    "pos = gaussian(1000., 500.)\n",
    "process_model = gaussian(1., process_var)\n",
    "\n",
    "N = 1000\n",
    "dog = DogSimulation(0, 1, sensor_var, process_var)\n",
    "zs = [dog.move_and_sense() for _ in range(N)]\n",
    "ps = []\n",
    "\n",
    "for z in zs:\n",
    "    prior = predict(pos, process_model) \n",
    "    pos = update(prior, gaussian(z, sensor_var))\n",
    "    ps.append(pos.mean)\n",
    "\n",
    "book_plots.plot_measurements(zs, lw=1)\n",
    "book_plots.plot_filter(ps)\n",
    "plt.legend(loc=4);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time the filter struggles. Notice that the previous example only computed 100 updates, whereas this example uses 1000. By my eye it takes the filter 400 or so iterations to become reasonable accurate, but maybe over 600 before the results are good. Kalman filters are good, but we cannot expect miracles. If we have extremely noisy data and extremely bad initial conditions, this is as good as it gets.\n",
    "\n",
    "Finally, let's implement the suggestion of using the first measurement as the initial position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sensor_var = 30000.\n",
    "process_var = 2.\n",
    "process_model = gaussian(1., process_var)\n",
    "N = 1000\n",
    "dog = DogSimulation(0, 1, sensor_var, process_var)\n",
    "zs = [dog.move_and_sense() for _ in range(N)]\n",
    "\n",
    "pos = gaussian(zs[0], 500.)\n",
    "ps = []\n",
    "for z in zs:\n",
    "    prior = predict(pos, process_model) \n",
    "    pos = update(prior, gaussian(z, sensor_var))\n",
    "    ps.append(pos.mean)\n",
    "\n",
    "book_plots.plot_measurements(zs, lw=1)\n",
    "book_plots.plot_filter(ps)\n",
    "plt.legend(loc='best');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This simple change significantly improves the results. On some runs it takes 200 iterations or so to settle to a good solution, but other runs it converges very rapidly. This all depends on the amount of noise in the first measurement. A large amount of noise causes the initial estimate to be far from the dog's position.\n",
    "\n",
    "200 iterations may seem like a lot, but the amount of noise we are injecting is truly huge. In the real world we use sensors like thermometers,  laser range finders, GPS satellites, computer vision, and so on. None have the enormous errors in these examples. A reasonable variance for a cheap thermometer might be 0.2 C$^{\\circ 2}$, and our code is using 30,000 C$^{\\circ 2}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: Interactive Plots\n",
    "\n",
    "Implement the Kalman filter using Jupyter Notebook's animation features to allow you to modify the various constants in real time using sliders. Refer to the section **Interactive Gaussians** in the **Gaussians** chapter to see how to do this. You will use the `interact()` function to call a calculation and plotting function. Each parameter passed into `interact()` automatically gets a slider created for it. I have written the boilerplate for this; you fill in the required code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 900x400 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact\n",
    "from kf_book.book_plots import FloatSlider\n",
    "\n",
    "def plot_kalman_filter(start_pos, \n",
    "                       sensor_noise, \n",
    "                       velocity, \n",
    "                       process_noise):\n",
    "    plt.figure();\n",
    "    # your code goes here\n",
    "\n",
    "interact(plot_kalman_filter,\n",
    "         start_pos=(-10, 10), \n",
    "         sensor_noise=FloatSlider(value=5, min=0, max=100), \n",
    "         velocity=FloatSlider(value=1, min=-2., max=2.), \n",
    "         process_noise=FloatSlider(value=5, min=0, max=100.));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution\n",
    "\n",
    "One possible solution follows. We have sliders for the start position, the amount of noise in the sensor, the amount we move in each time step, and how much movement error there is. Process noise is perhaps the least clear - it models how much the dog wanders off course at each time step, so we add that into the dog's position at each step. I set the random number generator seed so that each redraw uses the same random numbers, allowing us to compare the graphs as we move the sliders."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.random import seed \n",
    "from ipywidgets import interact\n",
    "\n",
    "def plot_kalman_filter(start_pos, \n",
    "                       sensor_noise, \n",
    "                       velocity,\n",
    "                       process_noise):\n",
    "    N = 20\n",
    "    zs, ps = [], []   \n",
    "    seed(303)\n",
    "    dog = DogSimulation(start_pos, velocity, sensor_noise, process_noise)\n",
    "    zs = [dog.move_and_sense() for _ in range(N)]\n",
    "    pos = gaussian(0., 1000.) # mean and variance\n",
    "    process_model = gaussian(velocity, process_noise)\n",
    "    \n",
    "    for z in zs:    \n",
    "        pos = predict(pos, process_model)\n",
    "        pos = update(pos, gaussian(z, sensor_noise))\n",
    "        ps.append(pos.mean)\n",
    "\n",
    "    plt.figure()\n",
    "    plt.plot(zs, c='k', marker='o', linestyle='', label='measurement')\n",
    "    plt.plot(ps, c='#004080', alpha=0.7, label='filter')\n",
    "    plt.legend(loc=4);\n",
    "\n",
    "interact(plot_kalman_filter,\n",
    "         start_pos=(-10, 10), \n",
    "         sensor_noise=FloatSlider(value=5, min=0., max=100), \n",
    "         velocity=FloatSlider(value=1, min=-2., max=2.), \n",
    "         process_noise=FloatSlider(value=.1, min=0, max=40));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise - Nonlinear Systems\n",
    "\n",
    "Our equations for the Kalman filter are linear:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mathcal{N}(\\bar\\mu,\\, \\bar\\sigma^2) &= \\mathcal{N}(\\mu,\\, \\sigma^2) + \\mathcal{N}(\\mu_\\mathtt{move},\\, \\sigma^2_\\mathtt{move})\\\\\n",
    "\\mathcal{N}(\\mu,\\, \\sigma^2) &= \\mathcal{N}(\\bar\\mu,\\, \\bar\\sigma^2)  \\times \\mathcal{N}(\\mu_\\mathtt{z},\\, \\sigma^2_\\mathtt{z})\n",
    "\\end{aligned}$$\n",
    "\n",
    "Do you suppose that this filter works well or poorly with nonlinear systems?\n",
    "\n",
    "Implement a Kalman filter that uses the following equation to generate the measurement value\n",
    "\n",
    "```python\n",
    "for i in range(100):\n",
    "    z = math.sin(i/3.) * 2\n",
    "```\n",
    "    \n",
    "Adjust the variance and initial positions to see the effect. What is, for example, the result of a very bad initial guess?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "#enter your code here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "\n",
    "sensor_var = 30.\n",
    "process_var = 2.\n",
    "pos = gaussian(100., 500.)\n",
    "process_model = gaussian(1., process_var)\n",
    "\n",
    "zs, ps = [], []\n",
    "\n",
    "for i in range(100):\n",
    "    pos = predict(pos, process_model)\n",
    "\n",
    "    z = math.sin(i/3.)*2 + randn()*1.2\n",
    "    zs.append(z)\n",
    "    \n",
    "    pos = update(pos, gaussian(z, sensor_var))\n",
    "    ps.append(pos.mean)\n",
    "\n",
    "plt.plot(zs, c='r', linestyle='dashed', label='measurement')\n",
    "plt.plot(ps, c='#004080', label='filter')\n",
    "plt.legend(loc='best');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Discussion\n",
    "\n",
    "This is terrible! The output is not at all like a sin wave, except in the grossest way. With linear systems we could add extreme amounts of noise to our signal and still extract a very accurate result, but here even modest noise creates a very bad result.\n",
    "\n",
    "If we recall the **g-h Filter** chapter we can understand what is happening here. The structure of the g-h filter requires that the filter output chooses a value part way between the prediction and measurement. A varying signal like this one is always accelerating, whereas our process model assumes constant velocity, so the filter is mathematically guaranteed to always lag the input signal. \n",
    "\n",
    "Very shortly after practitioners began implementing Kalman filters they recognized the poor performance of them for nonlinear systems and began devising ways of dealing with it. Later chapters are devoted to this problem."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed Gain Filters\n",
    "\n",
    "Embedded computers usually have extremely limited processors. Many do not have floating point circuitry. These simple equations can impose a heavy burden on the chip. This is less true as technology advances, but do not underestimate the value of spending one dollar less on a processor when you will be buying millions of them.\n",
    "\n",
    "In the example above the variance of the filter converged to a fixed value. This will always happen if the variance of the measurement and process is a constant. You can take advantage of this fact by running simulations to determine what the variance converges to. Then you can hard code this value into your filter. So long as you initialize the filter to a good starting guess (I recommend using the first measurement as your initial value) the filter will perform very well. For example, the dog tracking filter can be reduced to this:\n",
    "\n",
    "```python\n",
    "def update(x, z):\n",
    "    K = .13232  # experimentally derived Kalman gain\n",
    "    y = z - x   # residual\n",
    "    x = x + K*y # posterior\n",
    "    return x\n",
    "    \n",
    "def predict(x):\n",
    "    return x + vel*dt\n",
    "```\n",
    "\n",
    "I used the Kalman gain form of the update function to emphasize that we do not need to consider the variances at all. If the variances converge to a single value so does the Kalman gain. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## FilterPy's Implementation\n",
    "\n",
    "FilterPy implements `predict()` and `update()`.  They work not only for the univariate case developed in this chapter, but the more general multivariate case that we learn in subsequent chapters. Because of this their interface is slightly different. They do not take Gaussians as tuples, but as two separately named variables.\n",
    "\n",
    "`predict()` takes several arguments, but we will only need to use these four:\n",
    "\n",
    "```python\n",
    "predict(x, P, u, Q)\n",
    "```\n",
    "\n",
    "`x` is the state of the system. `P` is the variance of the system. `u` is the movement due to the process, and `Q` is the noise in the process. You will need to used named arguments when you call `predict()` because most of the arguments are optional. The third argument to `predict()` is **not** `u`.\n",
    "\n",
    "These may strike you as terrible variable names. They are! As I already mentioned they come from a long history of control theory, and every paper or book you read will use these names. So, we just have to get used to it. Refusing to memorize them means you will never be able to read the literature.\n",
    "\n",
    "Let's try it for the state $\\mathcal N(10, 3)$ and the movement $\\mathcal N(1, 4)$. We'd expect a final position of 11 (10+1) with a variance of 7 (3+4)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(11.0, 7.0)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import filterpy.kalman as kf\n",
    "kf.predict(x=10., P=3., u=1., Q=4.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`update` also takes several arguments, but for now you will be interested in these four:\n",
    " \n",
    "```python\n",
    "update(x, P, z, R)\n",
    "```\n",
    " \n",
    "As before, `x` and `P` are the state and variance of the system. `z` is the measurement, and `R` is the measurement variance. Let's perform the last predict statement to get our prior, and then perform an update:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11.000\n",
      "11.364 4.455\n"
     ]
    }
   ],
   "source": [
    "x, P = kf.predict(x=10., P=3., u=1., Q=2.**2)\n",
    "print('%.3f' % x)\n",
    "\n",
    "x, P = kf.update(x=x, P=P, z=12., R=3.5**2)\n",
    "print('%.3f' % x, '%.3f' % P)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I gave it a noisy measurement with a big variance, so the estimate remained close to the prior of 11.\n",
    "\n",
    "One final point. I did not use the variable name `prior` for the output of the predict step. I will not use that variable name in the rest of the book. The Kalman filter equations just use $\\mathbf x$. Both the prior and the posterior are the estimated state of the system, the former is the estimate before the measurement is incorporated, and the latter is after the measurement has been incorporated."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "The Kalman filter that we describe in this chapter is a special, restricted case of the more general filter we will learn next. Most texts do not discuss this one dimensional form. However, I think it is a vital stepping stone. We started the book with the g-h filter, then implemented the discrete Bayes filter, and now implemented the one dimensional Kalman filter. I have tried to show you that each of these filters use the same algorithm and reasoning. The mathematics of the Kalman filter that we will learn shortly is fairly sophisticated, and it can be difficult to understand the underlying simplicity of the filter. That sophistication comes with significant benefits: the generalized filter will markedly outperform the filters in this chapter.\n",
    "\n",
    "This chapter takes time to assimilate. To truly understand it you will probably have to work through this chapter several times. I encourage you to change the various constants in the code and observe the results. Convince yourself that Gaussians are a good representation of a unimodal belief of  the position of a dog in a hallway, the position of an aircraft in the sky, or the temperature of a chemical reaction chamber. Then convince yourself that multiplying Gaussians truly does compute a new belief from your prior belief and the new measurement. Finally, convince yourself that if you are measuring movement, that adding the Gaussians together updates your belief. \n",
    "\n",
    "Most of all, spend enough time with the **Full Description of the Algorithm** section to ensure you understand the algorithm and how it relates to the g-h filter and discrete Bayes filter. There is just one 'trick' here - selecting a value somewhere between a prediction and a measurement. Each algorithm performs that trick with different math, but all use the same logic."
   ]
  }
 ],
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