{ "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": [ "%matplotlib inline\n", "from __future__ import division, print_function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "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": { "image/png": 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\n", 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" ] }, "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 10.075\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "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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YsGGGX7nLysrIz88HIDU11fvDSWlpKbW1td7/T0hIYOjQoYZ2CwoKKCkpAWDw4MGGmX8qKyvZsWMHAN26dSMtLc2w7tatWzlx4gSxsbE+w30PHDjAwYMHAejfv3+r20YExXrAfEK/IzAFaOv7dAmuhrYRnTp14rnnnuO6666juLjYG8/KyuK0005j8uTJEbGN8MjJycHhcLS6bYRn++bZr0JkH0eYi3gdR7iF8jjCs1+Ni4vj+PHjEX8c4XGy2wjPvrypAiqYSkpKfP6Iwd3hPcubym63M336dBITE7nnnnsMy37yk59w3XXXkZGRwfHjx1m9ejULFizgiy++4JNPPmnSUDu73e7za5vL5fJuxOx28xXN7phnuZnT6fQu83en9aa2a86pbrsOh8Nvuy6Xi7i4OJ9lDoejWe3W917rtmt+r3U/Q3/tet6rzeY7bKip7YbLd9PYe62trcVut/vtjw19N01pt7a21u+yhtr1rNtYu/409TP0t37dnMwae6+eNv0N5W2Jz9DfZ9TUdsOlHzb2t9xsu4CPTbF43MVSku/TJfga69/du3fnqaee4rbbbqO6utobv+++++jXr5+3wIqEbURNTQ1Op1PbCB1HBNRuuHw3Oo7wbTecthGBCHjSB38duCnL6nK5XEyfPp3PP/+cFStW+Py68Nhjjxn+PW7cONLT07nvvvt49913mTBhQqOvERsb65OPzWbzbjDMZ8k8MX8bFIA2bdp4l/nr2E1t15xT3Xb9fdlxcXG4XC6/7cbExDSrXc9/Bw4ciMvl8rZRt13ze637Gfpr1/Ne/fWFprYbLt9NY+/V8z795dXQd9OUdh0Oh99lDbXrWbehdpv7GTb2Xs3qe68ZGRm4XC7y8vJwOp1B+QydTmfAfzfh2A8b+1tuljJgOe4heXVNAnr6Pl1Coyn9e9SoUTzxxBPcfffd3rjdbue2225j6dKldOvWrVVvIzzi4+NxOBytbhvhcrnIyMgwrB/JxxENtavjiNAcR3j2qzabjfz8/Ig/jvBozjYiEAFN+jB69GgcDgcbNmwwxHNzc8nMzGThwoXMmDGjwTZcLhe33HILS5YsISsrixtvvLFJr33w4EF69uzJ/fffzxNPPGFYpkkfRCRatNikD3ZgMbDfFL8YOL9lXkKarimTPvjz0EMP+fzI+NOf/pSPP/643gMQEZFoF9RJH0aMGMGWLVt8Tkl6xiWax0maeYqlxYsXs2jRoiYXS3WpCBIRaQEf4FssDQF+YkEuctLmzZvH5Zdfboh9/vnn/OY3v7EoIxGRyBNQ9TFhwgQqKipYsWKFIZ6VlUVaWhrnnHNOveu6XC5uvfVWFi9ezMKFC5k2bVpAiWZlZQFw7rnnBrSeiIiYZANfm2IpwARO4nbmYqWYmBiWLVvmM/nA008/zdtvv21RViIikSWga5jGjh3LZZddxsyZMykvL2fQoEG88cYbrFmzhtdff907tnD69OlkZWWxc+dO+vXrB8Bdd93Fa6+9xi9+8QtGjBjBl19+6W23bdu2nHbaaYD7l7HHH3+cCRMmMGDAAKqrq1m9ejWvvPIKF198MVdffXVLvXf5QXl5uXfca93ZgESCRX3OQgeA90yxWOA6oGmTkEqY6dKlCytWrOC8886jpqbGG/fsb4cNG2ZhdtFJ2zgJNfW54Ap40od33nmHuXPn8vDDD3PkyBEyMjJ44403uP76673PcTgcOBwOwwwU773n3kP/5S9/4S9/+YuhzX79+hmmDIyJieH3v/89xcXF2Gw2Bg8ezO9+9zvuvfdeDckLgt27d3unojRPlSwSDOpzFjkOvIX7+qW6rkaTPLRyZ555Js8//7zhOuLKykomTpzIhg0b6Nixo4XZRR9t4yTU1OeCK6BJH8KVJn1onuzsbP2RSUipz528k570wQm8CWw3xc8CxjcvJ2m+k530wdDGD9cJm3+UvPbaa3n77bcDnhVKTp62cRJq6nOBCbR2CPgMk0SeHj161Dv9pEgwqM9Z4At8i6VewBUW5CJBYbPZeP755/nuu+/47rvvvPHly5fz9NNPc++991qYXXTRNk5CTX0uuHSGSUSkFTmpM0x7gCUY77fUHrgNSPa3goRaS5xh8ti9ezdnnHEGpaWl3lhMTAzr169vcHImEZFoEdRpxUVEpJU5DryDsViyAdeiYilC9e/fn6VLlxqG4DkcDm644QafAwQREWmcCiYRkUjlAv4JlJniFwEDQp+OhM7YsWN58MEHDbFdu3Zx5513WpSRiEjrpYJJRCRSZQO5plg6ujltlHj44YcZM2aMIZaVlcVbb71lUUYiIq2TJn0QcnNzvTOrDB8+3Op0JAqoz4VACbDKFEtAN6eNIrGxsbz++uuceuqplJeXe+O33XYb5557rvc+idLytI2TUFOfCy7tNgW73e59iISC+lyQOXBft1Rjiv8Xum4pyvTv358XX3zRECsrK+PGG2/E4XBYlFXk0zZOQk19LrhUMAlt27b1PkRCQX0uyP4F7DfFTgNOCX0qYr0pU6YwZcoUQ+yLL77gD3/4g0UZRT5t4yTU1OeCS9OKi4i0Io1OK56PewrxujrjnkJc+9Gw1ZLTivtTVlbGqaeeSn5+vjcWExPD559/zujRo4P62iIi4UbTiouIRCvPFOJ1tQF+hoqlKJecnMzSpUsNN7V0OBxMmTLFcH2TiIj4UsEkIhIJXMB7gPnY92KgV+jTkfAzZswYHnroIUNs9+7dzJo1y6KMRERaBxVMIiKR4HtgsynWHxjj57kStebOnct5551niP3tb39j2bJlFmUkIhL+VDAJhYWF7Nu3j8LCQqtTkSihPtfCSoHVplg7NIW4+PBMNZ6UlGSI33HHHezfb54pRE6WtnESaupzwaVdqXD48GEOHjzI4cOHrU5FooT6XAtyAv8P/1OIJ/k+XSQ9PZ2XX37ZECsrK2PGjBlEwDxQYUHbOAk19bngUsEkItKa/R+w2xQ7DRhmQS7SakyePJkbbrjBEFu1ahVLliyxJiERkTCmacWFyspKXC4XNpuNDh06WJ2ORAH1uZNnmFa8FHgRqK3zhCTgDiAhpGlJMwV7WnF/jhw5wvDhwzlw4IA3lpSURG5uLr179w55PpFE2zgJNfW5wGhacQlYhw4dSExM1B+YhIz6XAtwAu9iLJbAPRRPxZI0QefOnXnllVcMsfLycm655RYNzWsmbeMk1NTngksFk4hIa/QN7pvU1nUGMCj0qUjrdfXVV3PTTTcZYh988AF/+ctfLMpIRCT8qGASEWltjgBrTbFk4DILcpFW79lnnyUtLc0Qu+eee9i7d69FGYmIhBcVTEJVVRWVlZVUVVVZnYpECfW5ZtBQPGlhKSkpPkPzjh07pqF5zaBtnISa+lxwqWAS8vLy2LJlC3l5eVanIlFCfa4ZNgB7TLEzgYEW5CIRY/z48UydOtUQW7t2La+++qo1CbVy2sZJqKnPBZcKJhGRVmLHjh3wkSnYCQ3FkxbxzDPP0KtXL0Ps3nvvZc8ec4UuIhJdVDAJXbp0oVu3bnTp0sXqVCRKqM8Fzul0Mm3aNLCbFvw30NaKjCTSdOrUiUWLFhliFRUVTJ8+XUPzAqRtnISa+lxw6T5MIiKtwLPPPss999xjDJ4FjLckHWlhVtyHqT633HILr732miH20ksvcfvtt1uUkYhIywq0dlDBJCIS5nbv3k1mZqbxYt4U4HZ0dilChFPBVFZWxogRI9i3b5831rFjRzZv3qwb2opIRNCNa0VEIojL5WLmzJm+Mx9pKJ4ESXJyss8ZpmPHjjFr1iwNzRORqKQzTCIiYWzp0qXceOONxuCZwFWWpCPR5B/A98bQ8uXL+dnPfmZJOiIiLUVD8n6ggqnptm3bRm1tLXFxcQwdOtTqdCQKqM81TXFxMcOGDaO4uPjHYEfgl+ieSxJ8VcALQOWPoZ49e7JlyxY6depkVVatgrZxEmrqc4HRkDwJWHV1tfchEgrqc01z7733GoslgHGoWJLQaA9caQwdOHCAX//615ak05poGyehpj4XXLFWJyDWi4mJweFwEBMTY3UqEiXCvc/ZHrVZnQLsAF43xYb98BAJlUwYd3wcq1at8oZeeeUVbrjhBi644AILEwtv4b6Nk8ijPhdcGpInImJiecFUA7wIHK0Ta4t7KF6SJRlJFNszbQ+nnHIKlZU/js0bMmQI2dnZJCTodKeItD4akici0tr9C2OxBHAZKpbEEn379uXxxx83xLZv3+4TExGJVCqYRETCSSHwH1OsL3C6BbmI/GDWrFmcffbZhtj8+fPJycmxKCMRkdBRwSQiEi4cwP8D6g6UjgGuRltrsVRMTAyvvvoqsbE/Xvpst9u59dZbcTgcFmYmIhJ82gULhw4doqioiEOHDlmdikQJ9bl6fAkcMMXOB7pZkIuIyciRI7n//vsNsS+//JKXXnrJoozCl7ZxEmrqc8GlgkkoKipi//79FBUVWZ2KRAn1OT+OAJ+YYt2A8yzIRaQeDz30EIMHDzbEHnjgAfbt22dRRuFJ2zgJNfW54FLBJCJiNRewCrCb4v+Fbv4gYSUhIYFXXnnFEKuoqODOO++0KCMRkeDTrlhIT0/H5XJhs4XBvWckKqjPmWzGfd+lus4C+liQi0gjLrzwQqZPn85rr73mjb377ru89957XH311RZmFj60jZNQU58LLt2HSUTEJKT3YaoGXgDqbsISgVmAbnEjYcD1iO9hQmlpKUOHDuXw4cPeWL9+/cjNzaVDhw6hTE9EJGC6D5OISGvyL4zFEsBYVCxJWEtJSeGpp54yxPbs2cNjjz1mUUYiIsGjgklExCpFwFem2EDgFAtyEQnQjTfeyIUXXmiIPfnkk+Tm5lqTkIhIkARcMFVUVDB79mzS0tJISEjg1FNP5c0332x0vXfeeYfJkyczaNAg2rVrR3p6OlOmTCEvL8/v8z/66CNGjx5N+/bt6dq1K1OnTtVUiUFSU1PjfYiEgvoc4AT+ie89l8YBGoIurYDNZuPFF18kLi7OG7Pb7dxxxx1EwGj/ZtE2TkJNfS64Ai6YJk6cSFZWFo888girV6/mrLPOYvLkySxbtqzB9Z544gmqqqqYO3cua9as4bHHHuO7777j9NNP9/k16tNPP2Xs2LH06NGDd999lz//+c989NFHXHLJJZw4cSLQlKURW7ZsYePGjWzZssXqVCRKqM8B3wL7TbHzgS4W5CJykoYNG8acOXMMsc8++4y//vWvFmUUHrSNk1BTnwuugCZ9WLVqFePHj2fZsmVMnjzZG7/88svJzc1l7969xMTE+F330KFDdO/e3RArLCwkPT2dm266iUWLFnnjZ599NpWVlWRnZ3vvKv7vf/+b8847jxdffJGZM2ca2tGkD82TnZ1NbW0tcXFxjBo1yup0JAqEe58L+qQPFcDzuCd88OgCzERzl0rY8TfpQ11VVVUMHz6c/Px8b6xr165s27aNzp07Bzm78BTu2ziJPOpzgQnqpA8rV64kMTGRSZMmGeLTpk2jsLCQr74yD8b/kblYAkhLS6N3796GG97t37+fr7/+mp///OfeYglgzJgxDBkyhJUrVwaSsjRBcnIyKSkpJCcnW52KRImo73MfYiyWAMajYklapfbt2/P8888bYsXFxTzwwAMWZWS9qN/GScipzwVXQLvnnJwchg0bZihkAEaOHOldPmbMmCa3t2vXLvbs2cM111xjeI26bZpfZ/369U1qOzc3l379+pGUlOSNnThxgq1btwLuGX769u1rWCcvL4+qqioAn+q8uLiY/fvd42f69u1LSkqKd5nD4fDm3bFjRwYMGGBYd/fu3ZSXlwMwfPhww+d39OhR9uzZA7gLyG7duhnW3bhxIy6Xi3bt2jFkyBDDsn379nHkyBEAhg4dSkLCj9NqVVRUsHPnTsBdrKamphrW3bx5s/eXiFNOMV5hXlRU5L1ebODAgSQmJnqXVVdXs23bNgA6d+5Mnz7GG8Vs376d48ePY7PZfL7Dw4cPU1hYCLinn+3UqZN3md1u9w7NTEpKon///oZ1d+3a5f0lIDMz03Ams7S0lL179wLQq1cvunbtalg3OzsbcO/UzXeo37t3L6WlpQBkZGTQtm1b77Ly8nJ2794NQI8ePehVhunIAAAgAElEQVTZs6dh3dzcXOx2O23btiUjI8OwrLCw0Dvd7qBBgwzT7FZVVXmv3evSpQu9e/c2rLtt2zaqq6uJiYkhMzPTsOzQoUPeu3inp6cbNow1NTXeU/HJycmkp6cb1t25cycVFRUAjBgxwvArSklJCQUFBQD07t2bLl1+HBfmdDrZtGkTAImJiQwcONDQbn5+PmVlZYB7eE58fLx3WVlZmfdX59TUVO8PJ57ccnJyyM7OJiEhgaFDhxraLSgooKSkBIDBgwfTvn1777LKykp27HDfuKhbt26kpaUZ1t26dSsnTpwgNjaW4cOHG5YdOHCAgwcPAtC/f/96txFBsxvYaIplAgP8PFckTDS2jejduzcXX3wx69at88ZfeeUVpk6dSmpqasDbCI+cnBwcDkdYbiN0HKHjCAif44i6+/xoOI7wONlthOfvtKkCKphKSkp8/ogB7yl3T1JNYbfbmT59OomJidxzzz2G16jbpvl1mvoadrvd56JTl8tFbW2td7m/dTzLzZxOp3eZ0+n0Wd7Uds051W3X4XD4bdflchkuqvVwOBzNare+91q3XfN7rfsZ+mvX81793Titqe2Gy3fT2Hutra3Fbrf7PX3b0HfTlHZra2v9LmuoXc+6jbXrT1M/Q3/r183JrLH3WlNTg9Pp9DuUtyU+Q3+fUVPbDQo78L4p1ha4IngvKdISmrKNuOeee/jyyy8NByIzZ87krbfeishtRLjsq3Qc4dtuuHw3Oo7wbTecjiMCEfAAkIbuINzUuwu7XC6mT5/O559/zooVK3x+XWioraa+RmxsrM9zbTabd4NhPkvmifnboAC0adPGu8xfx25qu+ac6rbr78uOi4vD5XL5bTcmJqZZ7db9b33tmt9r3c/QX7ue9+rve2pqu+Hy3TT2Xj3vs7HP8GTadTgcfpc11K5n3Ybabe5n2Nh7NWvsvcbHx+NwOILyGTqdzoD/bur7PlvMv4FiU+wSoGPwXlKkJTRlG9GnTx/uuusu5s+f741nZ2fz+uuvc+211/pttzVvI8JlX6XjCN92w+W70XGEb7vhdBwRiIAmfRg9ejQOh4MNGzYY4rm5uWRmZrJw4UJmzJjRYBsul4tbbrmFJUuWkJWVxY033mhY/sEHH3DllVfy/vvvM27cOMOySZMmsX79eu/pWA9N+iAiLSkokz6UAi/gPsvkkQbcgu6IJ2GtsUkf6qqtreWMM87wDr8B9xCcLVu2+Aw/FhGxSlAnfRgxYgRbtmzxOSXp2TCax0maeYqlxYsXs2jRIp9iqW4bdTe2dV+nsdeQwO3cuZOtW7d6xyqLBFtU9rk1GIslG3AVKpYkosTFxfHyyy8bYhUVFdx3330WZWSNqNzGiaXU54IroF31hAkTqKioYMWKFYZ4VlYWaWlpnHPOOfWu63K5uPXWW1m8eDELFy5k2rRpfp/Xq1cvzj77bF5//XXDWMUvv/ySbdu2MXHixEBSliaoqKjwPkRCIer63HZgmyl2Fu4zTCIRZsyYMdxyyy2G2FtvvcUnn3xiUUahF3XbOLGc+lxwBVQwjR07lssuu4yZM2fy6quv8sknnzBjxgzWrFnDggULvGMLp0+fTmxsrHfWFoC77rqL1157jWnTpjFixAi+/PJL7+O7774zvM4TTzzB1q1bmTRpEh999BHLli3jf/7nf8jMzKy30BIRCUt23GeX6uoAXGRBLiIhMn/+fJ/Jm2bNmhXcSVVERIIkoGuYwF3Bzp07l7fffpsjR46QkZHBAw88wPXXX+99ztSpU8nKymL37t3eKQnT09MNBVRd/fr1M9zwDmDt2rU8/PDDfP/997Rv356rrrqKP/3pT37v56RrmJqn7mwm+swkFMK9z7XoNUyfAetMsf8GTmu5lxAJpkCuYarr5Zdf9rnR/JNPPsm9997bEmmFtXDfxknkUZ8LTKC1Q8AFUzhSwSQiLanFCqajwPMYr13qDfwCXbskrcbJFkwOh4Ozzz6bb7/91htLTExk+/btPvf0EREJpaBO+iAiIgH4EGOxBDAObXklKsTExPDCCy8YYhUVFcyZM8eijERETo522yIiwbAT2GyKnYkmepCocu655/KLX/zCEFu6dCmfffaZRRmJiAROBZNQUlLC4cOHKSkpsToViRIR3+fswGpTrB1wsQW5iFjsj3/8I506dTLEZs2a5XOLkkgS8ds4CTvqc8GlgkkoKChgz549FBQUWJ2KRImI73NfAcWm2KVAewtyEbFY9+7d+f3vf2+Ibdq0iRdffNGijIIv4rdxEnbU54JLBZOISEsqBz41xdLQrHgS1W6//XZGjRpliD300EMcPHjQooxERJou1uoExHq9e/fG6XRqVkEJmYjucx8CNaaYJnqQKBcbG8sLL7zAT37yE2+svLycX//61yxZssS6xIIkordxEpbU54JL04qLiJic9LTi+cASU+w03PddEmmlTnZacX9uuukm/va3vxli69evZ8yYMS32GiIijdG04iIiVnAAq0yxBNzXLokIAAsWLCApKckQ++Uvf4nD4bAoIxGRxqlgEhFpCV8Dh0yxi4EOFuQiEqZ69uzJo48+aoh9//33LFy40KKMREQap4JJcDqd3odIKERcnzsGfGKK9cR93yURMZg1axaZmZmG2Ny5czl8+LBFGbW8iNvGSdhTnwsuFUzCpk2b+Pbbb9m0aZPVqUiUiLg+9xFwwhTTRA8ifsXGxvL8888bYkePHuWBBx6wKKOWF3HbOAl76nPBpd25iEhz7AWyTbFRQF8LchFpJS644AImT55siL322mts2LDBooxEROqngklITEz0PkRCIWL6nBPfiR7aookeRJrgySef9NkGRMoEEBGzjZNWQ30uuDStuIiISZOnFd+Ab8F0BTC6hRMSsVBLTitu9qc//Yn777/fEFu4cCEzZswI2muKiGhacRGRUKgE1pli3YCzLchFpJW6++67ycjIMMQeeOABSkpKLMpIRMSXCiYRkZPxMVBtio0DYizIRaSVio+P95kA4siRIzz44IMWZSQi4ksFk4hIoAqAb02xTKC/BbmItHKXXHIJkyZNMsQWLlzI//3f/1mUkYiIkQomIT8/n507d5Kfn291KhIlWnWf8zfRQxxwuQW5iESIp556ivbt23v/7XK5+OUvf9lq7ynTqrdx0iqpzwWXCiahrKyM0tJSysrKrE5FokSr7nPfAYWm2AVAkgW5iESIPn36+AzD++qrr1iyZIk1CTVTq97GSaukPhdcKphERJqqCvdNauvqApxrQS4iEeZXv/oVgwcPNsR+85vfUFpaalFGIiJumlZcqKmp8f5/fHy8hZlItAj3PlfvtOLvA1+bYj8HBgY5IRELBXNacbMPPviAK6+80hCbNWsWzz33XMhyaAnhvo2TyKM+FxhNKy4Bi4+P9z5EQqFV9rki4BtTbBgqlkRa0BVXXME111xjiL344otkZ2dblNHJaZXbOGnV1OeCSwWTiEhjnLjPLtX9oT0W901qRaRFPfPMMyQkJHj/7XQ6mTVrFhEwIEZEWqlYqxMQkehU77C3cLQR91TidZ0PdLIgF5EIl56ezm9/+1sefvhhb+yLL75g6dKl3HjjjRZmJiLRSmeYhLKyMo4ePaqZVSRkWlVfqwbWmmIpwGgLchGJEnPmzGHAgAE+sfLycosyCoz2qxJq6nPBpYJJyM/PZ8eOHZq7X0KmVfW1T4BKU2ws7nsviUhQJCQk8OyzzxpiBw4c4He/+51FGQVG+1UJNfW54FLBJCJSn4PABlNsyA8PEQmqq6++mvHjxxtif/7zn9m8ebNFGYlItNI1TEJqaioOh4OYmBirU5EokZqaanUKjXMBqzBO9BADXOn/6SLS8p599lnWrl3rnTLZbrdz55138tFHH2Gzhe91kNqvSqipzwWXzjAJ3bt3JzU1le7du1udikSJVtHXcoA9pthPgM4W5CISpQYNGsScOXMMsXXr1rF8+XKLMmoa7Vcl1NTngksFk4iI2QngQ1OsE+6CSURC6re//S19+/Y1xH71q19RWWm+uFBEJDhUMImImH0KHDPFrkATPYhYoH379jz99NOGWEFBAY8//rhFGYlItFHBJCJS12HgS1NsEJBhQS4iAsDEiRO59NJLDbEnn3yS7du3W5SRiEQTFUxCTk4O3377LTk5OVanIlEibPuaC1gNOOvE2uCe6CF8ry8XiXg2m43//d//JTb2x7mqamtrufvuu3G5XA2saQ3tVyXU1OeCSwWT4HA4cDqdOBwOq1ORKBG2fW0zsMsUGwN0tSAXETEYNmwY99xzjyG2Zs0a3nvvPYsyqp/2qxJq6nPBpYJJSEhI8D5EQiEs+1oN8IEplgScb0EuIuLXQw895HNbgrvvvpvjx49blJF/2q9KqKnPBZfNFY7nsgPkdDo5dsx4hXbHjh1p00b1oEi4sj0aZmPcPgY+N8UmAcMtyEUkjLgeCa/DhGXLljFlyhRDbN68eTzyyCMWZSQirU2gtYMqChGREuDfplh/4BQLchGRBk2ePJnzzzee+p0/fz67d++2KCMRiXQqmEQkunkmeqg77LsNMBZN9CAShmw2G8899xwxMTHeWHV1Nb/61a8szEpEIlls408REYlg24Adptg5gG6WLgKE4fBZjzOBr3785z/+8Q/WrFnDlVdeaVlKIhKZVDAJBQUFOBwOYmJi6N27t9XpSBQoKCiwOgW3WmCNKZYIXGBBLiISmAuh265uHD582Bu666672LRpE23btrUuL7RfldBTnwsuDckTSkpKOHz4MCUlJVanIlEibPraeuCoKXY5oEmGRMJfO3jiiScMoby8PJ555hmLEvqR9qsSaupzwaWCSUSiUynwhSnWFxhhQS4iclJuvvlmzj33XEPs97//Pfv27bMoIxGJRAEXTBUVFcyePZu0tDQSEhI49dRTefPNNxtdr6CggNmzZ3PBBRfQqVMnbDYbS5Ys8fvcCy+8EJvN5vPQuOTgGDx4MMOGDWPw4MFWpyJRIiz62hrAXuffNmAcmuhBpBVp06YNzz//PDbbj3+4VVVV3HfffRZmpf2qhJ76XHAFfA3TxIkT+frrr5k/fz5Dhgxh2bJlTJ48GafTyQ033FDvejt27GDp0qWceuqpjBs3jjfeeKPB1xkwYABLly41xDp16hRoutIE7du3tzoFiTKW97k83JM91HU20NOCXESkWc444wxmzJjBwoULvbG3336b2267jYsvvtiSnCzfxknUUZ8LroBuXLtq1SrGjx/vLZI8Lr/8cnJzc9m7d69hms+6nE6n92ZQ33zzDWeddRaLFy9m6tSpPs+98MILKS4uJicnp0l56ca1Iq2PZTNv2YEXgSN1Yh2AWUA7SzISkZPkualuSUkJQ4YM4ciRH/+wTznlFL7//nvi4uKsSk9EwlRQb1y7cuVKEhMTmTRpkiE+bdo0CgsL+eqrr+pZExUvIhIe/o2xWAK4FBVLIq1Yly5d+MMf/mCIbd68meeee86ijEQkkgQ0JC8nJ4dhw4YRG2tcbeTIkd7lY8aMaZHEdu7cSefOnSkvL6dfv35cf/31PPjgg7Rr17SjmtzcXPr160dSUpI3duLECbZu3QpASkoKffv2NayTl5dHVVUVAKNGjTIsKy4uZv/+/QD07duXlJQU7zKHw+E9G9axY0cGDBhgWHf37t2Ul5cDMHz4cMPnd/ToUfbs2QNAWloa3bp1M6y7ceNGXC4X7dq1Y8iQIYZl+/bt8/6aNnToUBISfpzaq6Kigp07dwLQvXt3UlNTDetu3ryZ2tpa4uLi6NevHy6XC5vNRocOHSgqKuLQoUMADBw4kMTERO961dXVbNvmHsvUuXNn+vTpY2h3+/btHD9+HJvN5u0XHocPH6awsBCAfv36GYZY2u12cnNzAUhKSqJ///6GdXft2uX9JSAzM9NwJrO0tJS9e/cC0KtXL7p27WpYNzs7G3CfrjaP7d27dy+lpaUAZGRkGKaiLS8v9945vkePHvTsaRyvlZubi91up23btmRkZBiWFRYWeqe6HTRoEB06dPAuq6qqIi8vD3Dv5M3Tf27bto3q6mpiYmLIzMw0LDt06BBFRUUApKenk5yc7F1WU1PDli1bAEhOTiY9Pd2w7s6dO6moqABgxIgRhh8xSkpKvFN99+7dmy5duniXOZ1ONm3aBEBiYiIDBw40tJufn09ZWRkAw4YNIz4+3rusrKyM/Px8AFJTU+ne3X1zo8rKSixxFPjMFOsNjPLzXBEJe57t++DBg7nlllt45ZVX+Pbbb73LH374YS666CJOO+00w3pbt27lxIkTxMbGMnz4cMOyAwcOcPDgQQD69+9/UscRLpeLQYMGeferENnHEaeccophmY4j3EJ5HFFZWek9lisoKIj44wiPnJwcHA4HCQkJDB061LCsoKDAO2vg4MGDDcMWPcf7TRVQwVRSUuLzRwzuDu9Z3hJ+8pOfcN1115GRkcHx48dZvXo1CxYs4IsvvuCTTz5p0tkqu92OebShy+WitrbWu9zfOp7lZk6n07vM6XT6LG9qu+ac6rbrcDj8tutyufwOKXA4HM1q17N8x44d3o3eqFGjDO2a32vdz9Bfu573WvcCXH/5NtRuuHw3jb3X2tpa7Ha73/7Y0HfTlHZra2v9LmuoXc+6jbXrT1M/Q3/r183JrL73umOH+U6xIfIhxokewD3Rg06Ai7RKdbeHMTExPP/884YfbisrK/n973/PO++847OeZ/9q1tTtd2P7lK1bt3r3qxDZxxENtavjiNAcR9Q9louJiYn44wiPmpoanE6n30uCGvsMAxHwpA/+OnBTlgXiscceM/x73LhxpKenc9999/Huu+8yYcKERtuIjY31ycdms3k3GOazZJ5YfWOd27Rp413mr2M3tV1zTnXb9fdlx8XF4XK5/LYbExPTrHY9/zV30rrtmt9r3c/QX7ue9+qvLzS13XD5bhp7r5736S+vhr6bprTruflcIO161m2o3eZ+ho29V7PG3mtI7QA2m2JnAmkW5CIiLcK8PRw9ejTTpk1j8eLF3uesXLmSTz/9lAsuuMCwntPpDHjf2tR9lb+Dv0g+jmioXR1H6DiibrstfRwRHx+Pw+E4qc8wEAFN+jB69GgcDgcbNmwwxHNzc8nMzGThwoXMmDGj0XYam/TBn4MHD9KzZ0/uv/9+nxvVadKH5iksLPT+YaWl6ehRgq+wsJBer/YK3QvWAi9hvHapHXAnoImFRFotz6QPdR06dIghQ4Z4h/hA6CeA0H5VQk19LjBBnfRhxIgRbNmyxeeUpGdconmcZDCoCGp5aWlp9OnTR39gEjIh72vr8Z3o4TJULIlEoO7du/P4448bYps3b+bZZ58NWQ7ar0qoqc8FV0DVx4QJE6ioqGDFihWGeFZWFmlpaZxzzjktmpz5NQCfO3qLiDToCPC5KdYbONWCXEQkJG6//XZOP/10Q2zevHns27fPooxEpDUL6BqmsWPHctlllzFz5kzKy8sZNGgQb7zxBmvWrOH111/3ji2cPn06WVlZ7Ny5k379+nnXX758OeCeqQTcQ/M8M6dce+21AHz++ec8/vjjTJgwgQEDBlBdXc3q1at55ZVXuPjii7n66qub/65FJDq4gNVA3etEbcB4NNGDSASLiYnhpZde4txzz/Ve3F1VVcXs2bN9fvQVEWlMQNcwgXuayblz5/L2229z5MgRMjIyeOCBB7j++uu9z5k6dSpZWVns3r3bMCVhQxdYedLYsWMHd999N9nZ2RQXF2Oz2Rg8eDDXX3899957r2G6Rg9dwyTS+oTkxrVbgLdMsXOAscF/aREJPn/XMNV1++23s3DhQkNs1apVjB2rjYBINAu0dgi4YApHKpiaZ+vWrd6pKM33ARAJhq1btzLsrWHBfZEa4HmgvE4sEZgFJPhdQ0RamcYKpiNHjjB06FCKi4u9sQEDBpCTk9Pk+zqeDO1XJdTU5wIT1EkfJDKdOHHC+xAJhZD0tU8xFksAV6BiSSSKdO7cmQULFhhiu3bt8pltt6Vpvyqhpj4XXCqYhNjYWO9DJBSC3tcOAf8xxfoDwZ/IU0TCzM0332y4mS3A/Pnzg3oDbe1XJdTU54JLQ/JExBJBu4bJBWQB+XVibYCZQLfgvKSIWKOxIXkeGzdu5PTTT8fh+HEGmCuuuILVq1cHfANLEWn9NCRPRKLbJozFEsAYVCyJRLGRI0dy5513GmIffPAB77zzjkUZiUhrooJJRCJHNfCBKZYMnG9BLiISVh599FFSU1MNsdmzZ1NRUWFRRiLSWqhgEpHIsQ6oNMXGAvEW5CIiYSUpKYmnn37aECsoKGDevHnWJCQirYYKJuHAgQPs37+fAwcOWJ2KRImg9LUCYIMpNgQY2vIvJSKt03XXXccll1xiiD377LNkZ2e36Otovyqhpj4XXCqYhIMHD1JUVMTBgwetTkWiRIv3NQfwT1MsFvfZJV3PLSI/sNlsvPDCC8TH/3ja2eFwcNtttxkmhGgu7Vcl1NTngksFk4i0fl8B5h/VLgBSLMhFRMLa0KFDeeCBBwyxr776ioULF1qUkYiEO00rLpSXl+NyubDZbCQlJVmdjkSB8vJykp9JbpnGjgIvALV1Yt2B24CYlnkJEQlPTZ1W3Ky6upqRI0eSl5fnjSUlJbF161afiSFOhvarEmrqc4HRtOISsKSkJJKTk/UHJiHTYn3NBazCWCwBXIWKJRGpV0JCAi+//LIhVl5ezuzZs1ukfe1XJdTU54JLBZOItF5bge2m2BlAXwtyEZFW5eKLL+amm24yxN5++21Wr15tUUYiEq5UMIlI63QC99mlujoAl1qQi4i0Sk8++SSdO3c2xO644w6qqqosykhEwpEKJuHEiRNUV1dz4sQJq1ORKNEifW0dcMwUuxJo1/ymRSQ6dOvWjT/96U+GWH5+Pr/73e+a1a72qxJq6nPBpYJJ2Lp1Kzk5OWzdutXqVCRKNLuv7cf3nksDgczmNSsi0WfatGmcf/75hthTTz3Fpk2bTrpN7Vcl1NTngksFk4i0Lp57LtWdHCsWGI/uuSQiAbPZbLz88svExcV5Y3a7ndtuuw2n02lhZiISLlQwCSkpKXTu3JmUFN20RkKjWX3ta6DIFDsf6OznuSIiTTBs2DB+85vfGGL/+c9/ePXVV0+qPe1XJdTU54JL92ESEUvYHj2J00FluO+5VFMn1g33PZdiWyQtEWlFTvY+TP5UV1czYsQIduzY4Y116tSJLVu20LNnzxZ7HRGxnu7DJCKRyQW8j7FYAvc9l1QsiUgzJSQk8NJLLxliR48e5a677rIoIxEJFyqYRKR1yMH3nkunAf0syEVEItKll17KjTfeaIj9/e9/5x//+IdFGYlIOFDBJCLhrxIw30uyA3C5BbmISER7+umn6dKliyF2xx13cPToUYsyEhGrqWAS8vLy2LJlC3l5eVanIlEi4L72AWC+j+R4dM8lEWlx3bp1489//rMhVlRUxP3339/kNrRflVBTnwsuFUxCVVUVlZWVurO5hExAfS0P2GiKZQCntGBCIiJ13HDDDYwdO9YQe/XVV/nkk0+atL72qxJq6nPBpYJJRMLXCeA9U6wtMM6CXEQkanjuzZSYmGiI33rrrTogFYlCmlZcRCzRpGnFVwEbTLGrgTOCkJCItDotOa24P88//zx33nmnITZnzhwWLFgQ1NcVkeDStOIiEhn24lsspQOnhz4VEYlOd9xxB2PGjDHEnnrqKb755huLMhIRK6hgEpHwUwv8P1MsFvfZpZO4362IyMlo06YNixYtIj4+3htzOp1Mnz6d2tpaCzMTkVBSwSQi4edzoNgUuwjo4ue5IiJBNGzYMB566CFDbOPGjRqWJxJFdA2TUFxcjNPppE2bNnTt2tXqdCQKFBcX0+2Fbv4XHgBeAZx1YqnALUBM0FMTkVYk2NcwedTU1HDmmWeyadMmbyw+Pp7s7GwyMjJ8nq/9qoSa+lxgdA2TBGz//v3s3buX/fv3W52KRIl6+5oD91C8usVSG+C/UbEkIpaJj4/ntddeMxxM1dTUcMstt+B0On2er/2qhJr6XHCpYBKR8PEfoNAUOw/oaUEuIiJ1nHXWWcyePdsQW79+Pc8995xFGYlIqGhInlBaWuo9jZuSkmJ1OhIFSktL6fy/nY3Bg7iH4jnqxLoAtwNxIUtNRFqRUA3J86isrGTkyJHs2rXLG2vXrh3ff/89Q4YM8ca0X5VQU58LjIbkScBSUlLo0qWL/sAkZHz6mgP4B8ZiCdxD8VQsiUiY6NChA4sWLTLEjh8/ztSpU3E4ftyAab8qoaY+F1wqmETEel8ARabYGKCvBbmIiDTgoosuYtasWYbYf/7zH5555hmLMhKRYFPBJCLWOgB8aop1xT2NuIhIGJo/fz4DBw40xB588EE2b95sUUYiEkwqmASHw+F9iISCt6/ZgZUYZ8WzAdegoXgiErY6dOjA4sWLsdl+vJP2iRMnmDp1Kna7XftVCTn1ueBSwSTk5OTw3XffkZOTY3UqEiW8fe0z3JM91HUe0DvECYmIBOinP/2pz6x5X3/9NQsWLNB+VUJOfS64VDCJiDUKgc9Nse7AhaFPRUTkZDz++OOG2fEA5s2bR15enkUZiUgwqGASOnbsSFJSEh07drQ6FYkS8fHx7qF4dWcEboN7KF6sNTmJiASqXbt2ZGVlGaYirq2tZd68ebRr1077VQkZHcsFlw5NhAEDBlidggSJ7VFb40+ywkfAYVPsp0CaBbmIiDTDueeey5w5c3jiiSe8sdzcXJYvX84jjzxiYWYSTXQsF1w6wyQioVUArDfFeuIumEREWqF58+ZxyimnGGKPPfYY3333nUUZiUhLUsEkIqFTg4biiUjESUhIICsri5iYGG/Mbrdz8803U11dbWFmItISAi6YKioqmD17NmlpaSQkJHDqqafy5ptvNrpeQUEBs2fP5riyq6UAACAASURBVIILLqBTp07YbDaWLFlS7/M/+ugjRo8eTfv27enatStTp07l0KFDgaYrIuFkLVBiil2I+wyTiEgrduaZZ/LAAw8YYps2bWLu3LkWZSQiLSXggmnixIlkZWXxyCOPsHr1as466ywmT57MsmXLGlxvx44dLF26lPj4eMaNG9fgcz/99FPGjh1Ljx49ePfdd/nzn//MRx99xCWXXMKJEycCTVkasXv3bvLy8ti9e7fVqUgk2wZ8bYql4Z5GXEQkAjz00EOMGjXKEHv66adZu3atRRlJtNCxXHAFNAhm1apVrF27lmXLljF58mQALrroIvbs2cOcOXO47rrrDKej6zr//PM5fNh9lfc333zDG2+8Ue/rzJkzhyFDhrB8+XJiY90p9u/fn/POO4+//OUvzJw5M5C0pRHl5eXU1tYSF6c7hUqQVADvmmJxwETA/yZDRKTViY+P5/XXX+eMM86gpqbGG586dSobN26kS5cuFmYnkUzHcsEVUMG0cuVKEhMTmTRpkiE+bdo0brjhBr766ivGjBnjd926U242ZP/+/Xz99df88Y9/9BZLAGPGjGHIkCGsXLlSBZNIa+LCXSxVmeJXAF1Dn46IRI6wnQn0YmDNj/8sLCzk1ltvZcWKFdhsYZqziNQroIIpJyeHYcOGGQoZgJEjR3qX11cwBfIadds0v8769ebptfzLzc2lX79+JCUleWMnTpxg69atAKSkpNC3b1/DOnl5eVRVuY/qzKfUi4uL2b9/PwB9+/YlJSXFu8zhcHjz7tixo8/Ujrt376a8vByA4cOHGz6/o0ePsmfPHgDS0tLo1q2bYd2NGzficrlo166dz83x9u3bx5EjRwAYOnQoCQkJ3mUVFRXs3LkTgO7du5OammpYd/Pmzd5fIoYPH47L5fJuxIuKirzXiw0cOJDExETvetXV1Wzbtg2Azp0706dPH0O727dv5/jx49hsNp/v8PDhwxQWFgLQr18/OnXq5F1mt9vJzc0FICkpif79+xvW3bVrF8eOHQMgMzPTcCaztLSUvXv3AtCrVy+6djUehWdnZwPQvn17Bg8ebFi2d+9eSktLAcjIyKBt27beZeXl5d5T2z169KBnT+OFNrm5udjtdtq2bUtGRoZhWWFhofeM6qBBg+jQoYN3WVVVlfemhl26dKF3796Gdbdt20Z1dTUxMTFkZmYalh06dIiioiIA0tPTSU5O9i6rqalhy5YtACQnJ5Oenk5Y+Bow38NxKHCGBbmIiITC2XC583I+/PBDb2jlypU8+uijTJgwIeKOI8wzBOo4wi2UxxF1j+WCdRyxc+dOKioqABgxYoThZEhJSQkFBQUA9O7d23A21el0smnTJgASExMZOHCgod38/HzKysoAGDZsmPtejT8oKysjPz8fgNTUVLp3725YNycnB4fDQUJCAkOHDjUsKygooKTEfeH04MGDad++veEzDERABVNJSYnfed47d+7sXd5cnjY8bZpfp6mvYbfbcblchpjL5aK2tta73N86nuVmTqfTu8zpdPosb2q75pzqtutwOPy263K5/J5idTgczWrXs9xcANdt1/xe636G/tr1vFd/v6A1td1w+W4ae6+1tbXY7Xa/Z08b+m6a0m5tba3fZQ2161m3vnYtcQj40BRLBP4L0I+sIhKp2sCSJUsYOXIkxcXF3vCCBQsYOXKkzw9l0LqPIxpqV8cRoTmOqHssF6zjiIa+86Z+hv7Wr5uTWWOfYU1NDU6n0+8lQY19hoEIeCLfhk4lt+Rp5vraauprxMbG+jzXZrN5NxjmIsETq2/sZ5s2bbzL/HXsprZrzqluu/6+7Li4OFwul992Y2JimtVu3f/W1675vdb9DP2163mv/r6nprYbLt9NY+/V8z4b+wxPpl2Hw+F3WUPtetatr92QswPv/PDfuv4b6OD7dBGRSJKamsqiRYu45pprvLHjx4/zyCOP8PHHH/s8X8cRbjqOwPv8cDuOiIuLa/Zn2Nh7NWvsvcbHx+NwOE7qMwyEzRVAiTV69GgcDgcbNmwwxHNzc8nMzGThwoXMmDGj0Xa++eYbzjrrLBYvXszUqVMNyz744AOuvPJK3n//fZ/Z9CZNmsT69eu9p2M9nE6n9zSrR8eOHZt83ZRIpLJ0fP+HwL9NsXOAsRbkIiISYq5H3IdXM2bM4NVXXzUse+ihh/jd735nRVoiQuC1Q0AVxYgRI9iyZYvPKUnPuETzOMmT4WnD06b5dVriNcTo6NGjHDlyhKNHj1qdikSKXfgWS92ASy3IRUTEAp796jPPPONz7dDjjz/OF198YVFmEol0LBdcARVMEyZMoKKighUrVhjiWVlZpKWlcc455zQ7oV69enH22Wfz+uuvG8Yqfvnll2zbto2JEyc2+zXEaM+ePezatct70ahIs1QBK02xGOBnuKcSFxGJAp79aocOHVi6dKlhOJfT6eTnP/+590J3kebSsVxwBVQwjR07lssuu4yZM2fy6quv8sknnzBjxgzWrFnDggULvGMLp0+fTmxsrM+Xtnz5cpYvX866devg/7d352FRl3sfx9/DjpIgKu5A7ppbqbmUqZmmCR21LNJKraNZVk9decqyR8s8T1bWVeeUlyfNsmOantTMrVKzThZumSgoZYobUqjggoAywzx/jEzMwjLCzMDweV3X70Lv+3f/5jswMPd3fveCZWheUVlxr732GqmpqYwaNYpNmzaxZMkS7rnnHjp27Mj48eMr8nxFxJ3MwFrggl35bUAjx9NFRGqC7t278/LLL9uUHTlyhMmTJ7s8+VxEPM+lOUxgWWZy2rRpLF++nKysLNq1a8fzzz9PQkKC9Zxx48axaNEi0tLSbJYkLG2ClX0YGzduZPr06ezZs4datWoRFxfHG2+84bCcIGgOU0WdOnXKOjnQfjlSqd48PodpB7DerqwFcD8ufjwjIlK9ZTySYfO+ajKZGDBgAN9//73NeR988AEPPfSQN0IUH6K+nGtczR1cTpiqIiVMIs55NGE6CXwAFF/1MxR4FKjjtIWIiM8qWvShuKNHj9K5c2frnkoAISEh7Nixg06dOnkyPJEaza2LPoiIOJUP/AfbZAlgOEqWRESuiImJYcGCBTZl+fn53HPPPdYNQUWk6lHCJCIVYwa+ALLtyvsAbR1PFxGpyUaNGsXkyZNtylJTU3n00Uc1n0mkilLCJCIVsxPYb1fWDBjohVhERKqBOXPmcMMNN9iULV68mA8//NBLEYlIaZQwCXv37uWnn35i79693g5FqpuTwFd2ZSHA3ViWEhcRqaFKe18NCQlh+fLl1KljO2Z58uTJTvehFCmL+nLupYRJMJvN1kOk3EqatzQCiPB8OCIiVUlZ76stW7bUfCapNOrLuZcSJiE0NJRatWoRGhrq7VCkutC8JRGRUpXnfVXzmaSyqC/nXlpWXMSHuW1ZcWf7LTUDxqOheCIiOF9W3Jn8/Hxuuukmdu/ebVOu/ZlE3EfLiouIe2nekohIpdF8JpGqTwmTiJTfRWAZmrckIlKJSprPNHLkSM6ePeulqESkiBImESkfE/AZcM6uvDeatyQiUkHO5jP99ttvjBkzBpPJ/lMqEfEkJUzC8ePHOXLkCMePH/d2KFKVbQLS7Mqao/2WREScuJr31TfffJPu3bvblK1fv54ZM2ZUZmjig9SXcy8lTEJWVhanT58mKyvL26FIVbUPSLQrCwPuAQI8H46ISFV3Ne+rwcHBrFy5kqioKJvyv//976xcubIywxMfo76ceylhEpHSZQCr7cr8gHuBazwfjoiIL2vevDn/+c9/CAiw/TRq7Nix7N+/30tRidRsWlZcyM/Px2w2YzAYCAkJ8XY4UokqvKx4LvA+YD/nOB7oVrFLi4j4stxncyv0vvrPf/6TJ5980qasdevW7Nixg4gIrbIjttSXc42WFReXhYSEEBoaql8wsWUC/oNjstQNJUsiImWo6Pvq448/ztixY23KDh48yJgxYygsLKxoeOJj1JdzLyVMIuLcZpwv8jDUC7GIiNQwBoOBefPmaREIkSpACZOIONoH/GhXpkUeREQ8KiQkxOkiELNmzdIiECIepIRJyMnJ4fz58+Tk5Hg7FKkKtMiDiEiFVdb7ammLQCQnJ1f4+uIb1JdzLyVMwqFDh/j11185dOiQt0MRbzsHLAGMduXDsAzHExGRcqnM99VbbrmFt956y6YsJyeHuLg4fv/990p5DKne1JdzLyVMImJxCVgKXLAr1yIPIiJe52wRiKNHj3LnnXeSm5vrpahEagYlTEJUVBSNGjVyGCMtNYgJ+Ayw/6AyBi3yICJyFSr7fbVoEYhevXrZlO/cuZP7779fK+fVcOrLuZf2YRLxYeXah8kMrAd22pXXAx4GalV6WCIiPs88wz3dq8zMTHr16kVamu0yplOmTOGNN95wy2OK+BrtwyQirtmOY7IUCoxGyZKISBUTFRXFunXrHDavnTNnDvPmzfNSVCK+TQmTSE2WCnxpV+YP3IflDpOIiFQ57du3Z+XKlQ4r5z3++ON8+aX9H3URqSglTCI11UlghZPy4UC0h2MRERGXDBgwgPnz59uUmUwm7rnnHvbu3eulqER8kxImYf/+/SQlJbF//35vhyKechbL8uEFduUDgE6eD0dExNd44n113LhxTJs2zabswoULDBs2jJMnT7r1saVqUV/OvZQwCQUFBdZDaoB8LMmS/d52XYBbPB+OiIgv8tT76syZM0lISLApO3HiBPHx8Q6T2sV3qS/nXkqYhMDAQOshPq4AS7KUaVceC8QD5VhUT0REyuap91U/Pz8+/PBD+vTpY1O+e/duRowYwaVLl9weg3if+nLupWXFRXyYzbLiJuBT4KDdSfWAv2JZGU9ERCqFu5YVL8mpU6fo3bs3hw4dsikfOXIky5Ytc1ggQqQm07LiIuKoEPgcx2SpNjAGJUsiItVcgwYNWLduHfXr17cpX7lyJY888gg+8Pm4iNcoYRLxdWYsS4fvsysPAR4AIj0ekYiIuEHbtm358ssvueaaa2zKFy5cyN/+9jclTSJXSQmTiK/7FthhVxaAZWPaRh6PRkRE3Khbt2588cUXBAcH25S/+eabzJ4920tRiVRvSpiEjIwMTpw4QUZGhrdDkcqWCHxnV+YHJKC9lkRE3Mib76v9+/dn2bJl+Pv725S/8MILzJs3zysxiXupL+deSpiEzMxMfv/9dzIz7ZdOk+ps0aJF8JWTipFAK09HIyJSs3j7ffUvf/kLCxcudCh/7LHHWLZsmRciEndSX869lDCJ+KDPP/+chx9+2LEiDujo8XBERMQLHnzwQd5++22bMrPZzP3338+XX37ppahEqh8tKy7k5ORQWFiIn58fYWFh3g5HKmjdunWMHDmSy5cv21YMBPp6JSQRkRrn3NPnqsz76owZM5g5c6ZNWUhICGvWrOG2227zUlRSmdSXc42ruYMSJhEfsmbNGu666y7Hnb77AIPQxrQiIh7i6X2YSmM2m3nyySd59913bcpDQkJYvXo1gwcP9lJkIt6hfZhEaqjVq1c7T5auR8mSiEgNZjAYeOeddxgzZoxNeX5+PnfeeaeG54mUQQmTiA9YtWoVd999t2Oy1BWIR8mSiEgN5+fnx0cffURCQoJN+aVLl/jLX/7CunXrvBSZSNWnIXlCfn4+ZrMZg8FASEiIt8MRF61YsYKEhASMRqNN+UMPPcTCZgv1sYiIiPzJBKMPjWbJkiU2xYGBgaxYsYL4+HgvBSYVob6cazQkT1z2yy+/kJKSwi+//OLtUMRFy5cv595773VIliZMmMD8+fP1Gy4iIrb84eOPP+aBBx6wKS4oKOCuu+5i9erVXgpMKkJ9OfdyuTuVk5PDU089RZMmTQgJCaFr1658+umn5WqbmZnJuHHjqF+/PrVq1aJ3795s3rzZ4bz+/ftjMBgcjiFDhrgarojP+vTTTxk9ejQmk8mmfNKkScybN093WEVExCl/f38+/PBDxo0bZ1NeUFDA3XffzcqVK70TmEgVFeBqg5EjR7Jz505mz55NmzZtWLJkCffddx+FhYWMHj26xHaXLl1i4MCBnD17lnfeeYeoqCjee+89hgwZwqZNm+jXr5/N+S1atOCTTz6xKYuIiHA1XCmHyMhITCaTw47gUnV98sknPPjggxQWFtqUP/bYY7z77rsYDJq0JCIiJfP39+eDDz7Az8/PZoNbo9HIPffcw9KlSxk1apQXIxRXqC/nXi7NYVq/fj3Dhg2zJklFBg8eTEpKCseOHSvxBzV37lwmT57Mjz/+SO/evQHLL2WXLl0ICwtj+/bt1nP79+/P6dOnSU5OLldcmsMk3mR42cPJSSLwlZPyG4GhaIEHEREpVfElzwsLC5k0aZJlGHcxBoOB9957j0cffdTT4Ym4nVvnMK1atYqwsDCHTxzGjx/PyZMnbZIeZ23btm1rTZYAAgICuP/++9mxYwfp6emuhCJS85iBjThPlnqiZElERFzm5+fHvHnzmDRpkk252WzmscceY/r06fjA+mAiFeLSkLzk5GTat29PQIBts86dO1vr+/TpU2Lbvn37OpQXtU1JSaFp06bW8kOHDhEZGcn58+eJiYkhISGBF198kdDQ0HLFmpKSQkxMDHXq1LGWXbp0idTUVADq1q1LdHS0TZuDBw+Sm5sLQJcuXWzqTp8+bU3qoqOjqVu3rrXOZDJZ74Zdc801tGjRwqZtWloa58+fB+C6666z+f6dPXuWo0ePAtCkSRMaNGhg03bv3r2YzWZCQ0Np06aNTd3x48fJysoCoG3btjarouTk5HDo0CEAoqKiaNy4sU3b/fv3U1BQQGBgIB06dLCpy8jIIDMzE4CWLVva7Bidn59vnVAYGRlJ8+bNbdr++uuv5OXlYTAYrD/bIqdOneLkyZMAxMTE2AyxNBqNpKSkAFCnTh2uvfZam7aHDx+2fhLQsWNHmzuZ2dnZHDt2DICmTZtSv359m7ZJSUkA1KpVi9atW9vUHTt2jOzsbADatWtHcHCwte78+fOkpaUB0LBhQxo1amTTNiUlxWGxBbcxAV8ASU7qegODUbIkIiIuKd6PeOuttwgICHDY3PaVV17h8OHDfPTRRzb9F/UjLCqjHxEcHEy7du1s6k6ePMmpU6cAaNWqFbVr17bW5ebmcvDgQQDq1atHs2bNbNr+8ssv5Ofn4+/vT8eOHW3qMjMzycjIACA2Npbw8HBr3eXLlzlw4AAA4eHhxMbG2rQ9dOgQOTk5AHTq1MnmbsyZM2c4ceIEAM2aNaNevXrWusLCQvbt2wdAWFgYLVu2tLnukSNHOHfuHADt27cnKCjIWnfu3DmOHDkCQOPGjYmKirJpm5ycjMlkIiQkhLZt29rUnThxgjNnzgDQunVratWqZa0r6u+Xl0sJ05kzZxySAbC84IvqS2tbdF5ZbW+++Wbuvfde2rVrR15eHhs2bOD1119n69atbNmypVxD7YxGo8MnImaz2bpPjbOOrtFodNzH5orCwkJrnf28EaDc17WPqfh17SfvF13XbDYTGBjoUGcymSp03ZKea/Hr2j/X4t9DZ9cteq7O5tCU97pV5WdT1nMtKCjwTMJ0GVgO/OakbiBwM0qWRETEZcXflwH+8Y9/UL9+fV566SWb8z755BNycnJYunSp9YNr9SMcr3u1/Qhn/drS+njluW5BQYHTutKuW9S2rOs6U97vobP29q/D4sp6rpcvX6awsNDplKCyvoeucHnRh9Imk5c10by8bWfNmmVTd8cddxAbG8uUKVNYvXo1I0aMKDPOgIAAh8czGAzWxMP+LllRmbPEBCy3rIvqnL2wy3td+5iKX9fZDzswMBCz2ez0uv7+/hW6btHXX3/9FaPRSEBAAG3atLG5rv1zLf49dHbdoufq7Gdd3utWlZ9NWc+1pOdZqS4CSwD7EasG4E7gevc+vIiI+C77foTBYGDGjBk0atSIxx57zKbju3r1agYNGsQXX3xBZGSkTT+itOuqH1F2P6Ks72F5rlu8LxcYGFjiAhClXbf4cy0p3op+D8t6rvbK+h4GBQVhMpmu6nvoCpcWfejduzcmk4kdO3bYlKekpNCxY0f+9a9/MXHiRKdtGzduTN++fVm+fLlN+bp164iLi+Orr75i8ODBJT72H3/8QaNGjXj22Wd57bXXbOq06EPFJCUlWW+r2w9FlLK5bdGHbGAxYH/jNgC4B2jj0EJERKRMxRd9KMnnn39OQkICly5dsinv0KEDX331lcMwMPEu9eVc49ZFHzp16sSBAwccbkkWjUu0Hydp37boPFfbFqckqPIV3+tKqojfgQ9wTJZCgbEoWRIREbcaPnw4GzdudNjSZf/+/fTu3ds6X0iqBvXl3Mul7GPEiBHk5OSwYsUKm/JFixbRpEkTevbsWWrb1NRUm5X0jEYjixcvpmfPnjRp0qTUx160aBEAvXr1ciVkKYfOnTvTrVs3h8mV4iX7sSRLOXbl4cBDQHOHFiIiIpWub9++fP/99w59tBMnTtCrVy/WrFnjpcjEnvpy7uXSkDyw7Lm0a9cuXnvtNVq1asXSpUuZP38+ixcvZsyYMQA8/PDDLFq0iEOHDhETEwNYVqjr1q0b58+fZ/bs2URFRTF37lzWrFljs3Ht999/z9///ndGjBhBixYtyM/PZ8OGDbz//vv069ePjRs3Otxl0pA88aZKG5JXCHx35bAXBdwP1HFSJyIi4oLyDMkr7ujRowwZMsS60nARg8HArFmzeP7553VnQ6oVV3MHlxd9WLlyJdOmTWP69OlkZWXRrl07li5dSkJCgvUck8mEyWSyWYEiODiYzZs38+yzz/LEE0+Qm5tL165d2bBhgzVZAstcJ39/f1555RVOnz6NwWCgdevWzJw5k2eeeUZJkPimS8AqINVJXQyQgGU4noiIiIfFxMSwdetW4uPjSUxMtJabzWamTZvG3r17Wbhwoc2yzSK+xOU7TFWR7jCJN1X4DlM2sBTIdFJ3PTCMq/hoQ0RExDlX7zAVycvLY+LEiSxevNih7oYbbuDzzz932FdJpCpy66IP4ptOnTrF77//bt0gTTwoDXgfx2TJAAzFsnS4kiUREakCQkND+fjjj3njjTccOpa7d++me/fu/PDDD16KrmZTX869lDAJJ0+e5MSJE9bds8VDdgL/BvLsykOAB4CeaENaERGpUgwGA1OmTGHt2rWEh4fb1GVmZjJgwAA++OADL0VXc6kv515KmEQ8rWi+0josCz0U1wCYCLTwdFAiIiLlN3ToULZv306bNrb7XBQUFPDXv/6Vv/71r+Tm5nopOpHKpTlMwtmzZyksLMTPz89hvwUpm0tzmDKAz3DcXwkseyuNxHKHSURExE2udg6TM2fPniUhIYGvvvrKoa5Dhw4sW7as3HttytVTX841msMkLouIiCAyMlK/YO5kBnYAC3CeLPXFshKekiUREalGIiIiWLduHc8884xD3f79++nRowfz58/HBz6fr9LUl3MvJUwi7pYHLAPWAya7umBgFDAQ/TaKiEi15O/vz5w5c/jkk0+oXbu2TV1+fj4TJ04kISGBc+fOeSlCkYpRF03EnY4B83C+v1IT4BHgOo9GJCIi4hajR49m9+7ddO3a1aFu+fLl3HDDDezcudMLkYlUjBImwWg0UlBQgNFo9HYovqMQ+B74EHD2gVpv4CEg0pNBiYiIuFebNm3Ytm0bTzzxhEPd4cOH6dOnD2+++SaFhfarHklFqC/nXkqYhJSUFJKSkkhJSfF2KL7hFLAQ2Ixl7lJxocBo4Ha0v5KIiPik4OBg/vGPf7Bq1Srq1q1rU2c0GpkyZQr9+vXj4MGDXorQ96gv515KmEQqiwnLXaV5wAkn9THAo1hWwxMREfFxw4cPZ8+ePfTp08ehbuvWrXTu3Jk333wTk8l+gq9I1aKESahTpw7h4eHUqVPH26FUX38AH2C5q2T/d98A9APGAvoWi4hIDRIdHc23337LCy+8gMFguw1Hfn4+U6ZM4eabb+bAgQNeitA3qC/nXtqHSaQCCgoKCLo9CL7DcRNasMxR+guWu0siIiJVQGXuw+SKb7/9loceeoi0tDSHuuDgYF566SWmTJlCQIDGrIt7uZo7KGESuUp79uxh/Pjx7Nmzx7HSAPQCBgBBHg5MRESkqrqMZTTGdufV3bt3Z+HChXTq1MmTUUkNo41rRdwsKyuLxx9/nG7dujlPlupjWQHvdpQsiYiIFBcEDAXG43Sl2F27dnH99dfz9NNPc/bsWQ8HJ+Kc7jCJlJPJZGLBggVMmzaNM2fOOJ5gAG7CMl8p0MPBiYiIVDeXgS3ANhxXlQUaNGjAq6++yvjx49Wnk0qlIXlXKGEqv8OHD2M0GgkICKBFixbeDseB4WVD2Se521FgA/B7CfVRWOYqNfVYRCIiIr7hOLAaOO28unv37vzzn/+kV69enoyqWqnqfbmqRkPyxGUXLlzg/PnzDi8cAc4DK7BsQOssWQoA+gMTUbIkIiJyNZoDjwC3WBZ/sLdr1y569+7NuHHj+P33kj65rNnUl3MvJUwizlzCsvLdP4F9JZzTAXgcS8KkBX1ERESuXiBwK+zfv5/hw4c7PWXRokW0adOGV199lYsXL3o2PqnRNCRPbDaM8/f392Ikznl0SF4BsBPYCuSWcE4DLBNWdcdbRESkUhUtef7111/z5JNP8ssvvzg9r2HDhrzwwgs88sgjTu9K1TRVvS9X1WhInrjM39/fetRYRiyJ0j+Ar3GeLAUDQ4BJKFkSERFxo8GDB7N3717mzJnDNddc41D/xx9/8D//8z+0bt2aBQsWUFBQ4IUoqw715dxLCZPUbIXAHuBdYB1Q0tDfG4AnsOytpL9FIiIibhcUFMQzzzzDr7/+ytixY52ec/z4cSZMmECHDh1YsmQJhYXOdpEXqRglTFIzmYAkYC7wOVDSVg9tsNxRuhMI80xoIiIi63OchwAAE1FJREFU8qdGjRrx0Ucf8dNPPzF06FCn5/z222+MGTOGLl26sHTpUoxGo4ejFF+mOUxCdnY2hYWF+Pn5UbduXW+H46BS5zBdAn7CsufD+VLOuxa4FcvKPSIiIuIRRXOYSrN161ZefPFFvvvuuxLPiYmJ4emnn+bhhx8mLMz3P/Gs6n25qkZzmMRlx44dIy0tjWPHjnk7FPc5D2wE3sIyR6mkZKkZMPbKoWRJRESkyrn55pvZsmULX3/9NT169HB6ztGjR3nqqaeIjo5m2rRpPr8ceY3oy3mREibxbZlYhty9DfyA5Q6TM42A0cDDWO4uiYiISJVlMBgYNGgQ27dv5/PPP6djx45Oz8vOzub//u//iI2NZcKECaSmpno4UvEFGpInnD592nobt379+t4Ox4HLQ/KMwAEsQ++OlHFuc6AP0BZ9fCAiIuJl5RmS50xhYSGrVq3ijTfeYPv27aWeO3DgQCZOnMjw4cMJCgq6qseraqp6X66qcTV3UMIkVV65E6bTWJKkPUBeGee2w5IoRVckMhEREalMV5swWdubzWzdupU33niDNWvWlHpugwYNGD9+PBMmTKBVq1YVelypXpQwXaGEyXeUmjC5cjfJH+gK9Ab04YuIiEiVU9GEqbgDBw7w5ptv8u9//5vLly+Xeq4v3nWSkilhukIJk+9wSJgKsSRHycB+IL+MC9QCugM3oqXBRUREapoLwHYsH66WNQIlFOgAdMIyCsWuK1mZCZ14j6u5Q4AnghKpMDNwAkuSlALklKPNtUA3LMPv9EoXERGpma4BbgP68eeolKMlnJt3pf6nK+2uw5I8NQEqcZcTqV7UjRSSkpIoKCggMDCQLl26eDscK7PZzJ49e2ATlkSppM1li6uFZdjdDWjYnYiIiPwpEOh85TgF7Kb0ec8XsOzbuA2oC3SEpOFJdO7cGYOhamVPVbUv5yuUMEmVkpeXxzfffMOaNWtYu3Yt6enp5Wuou0kiIiJSXg2A27FsUl/WXSeAbOB76Nq1K9HR0cTFxREXF8eAAQMICQnxQMDiTZrDJBw8eBCj0UhAQACtW7f2+ONnZGSwdu1a1q5dy8aNG8nLK2uA8RWNgI5Xjgg3BigiIiK+LxvLiJZk4I/yNalduzaDBg0iPj6eYcOG0bBhQzcGWDJv9+WqGy36cIUSpqrr3Llz/Pe//+Wbb77hm2++Ye/eveVvXI8/k6QGbgpQREREarZMLInTPiyJVDkYDAa6dOnCrbfeyq233krfvn2pU6eOG4OUq6WE6QolTFVHbm4uP/zwgzVB2rVrF4WFheW/QF2gPZYkqTGadCkiIiKeYQZOYkmcDgDnyt/U39+fHj16WBOoPn36EBoa6p44xSVKmK5QwuQdZrOZo0ePsm3bNhITE9m2bRs///wzBQUF5b6Gn58fffr0IT4+nri4OK5bfp2SJBEREfEuM+y7e591nnViYiKudKODgoK44YYb6NWrF7169aJ37940b968yi0gURMoYbpCCZNnnD17lj179rB9+3ZrkvTHH+Uc+FtMnTp1GDJkCPHx8QwZMoT69f9c4q7UjWtFREREPKT4PkynTp1i/fr1rFmzhq+++oqcnPLseWKrcePG1gSqZ8+edO3alfDw8MoMWZxQwnSFEqbyO3bsmHWiYHR0tNNzzGYzR44cISkpiT179liPo0dLW1KmZEFBQfTp08d6m7pHjx4l7qythElERESqgpI2rr18+TLbt2+3Tj9ITEx0aXRNcddeey1dunSha9eu1iM6OrrUO1Hl6cvJn5QwXaGEqfyKr93fsWNHjh49SmpqKqmpqRw4cIADBw6QnJzMuXMuDNy1U5FxvEqYREREpCooKWGyV+H523YiIiLo1KkT7dq1o3379tav0dHR+Pn5aR8mFylhukIJU8lMJhPp6ekcPnyYtLQ0EhMTmf/jfDgNnAGMlfAgoUAzoPmVr02B4Eq4roiIiIiXlDdhsnfu3Dl27NhhM8c7O7ucy++VIjQ0lDZt2tC4cWOaNm1KdHQ0/fr1o0WLFjRt2lR94RIoYbqiJidM+fn5nDhxwnocP36cY8eOkZaWxuHDhzly5MhV3yZ2yh+IwpIYFR2RaKEGERER8SlXmzA5XMds5uDBg2zbts16JCcnV2r/LCgoiNjYWFq0aMG1115LdHQ0zZs3p1mzZtYjOLhmfpqthOmKqpgwVWhomRm4DOQUOy7a/f/8lSO3goGWJhTLhrHFj/pYkiYRERERH1ZZCZMzly9f5sCBA9Z54kXzxivjTlRJGjRoYE2eGjVqRKNGjWjYsKHN10aNGhEWFua2GLzB7QlTTk4OL774IsuXLycrK4t27doxdepUEhISymybmZnJs88+y9q1a8nNzaVLly7MmjWLgQMHOpy7adMm/vd//5ekpCRq1apFXFwcr7/+OlFRUQ7nOnvSLf/VkjN5Z1x5ap5hBC5dOfKL/fsSkIcl2ckt4d+VMVSuvEKwJEINrnytjyU5qoPuHImIiEiN5M6Eyenjmc0cP36cpKQk67zyojnmFZlb7qrQ0FAiIyOpW7cukZGRNv8urSw8PLzK3cAA1xOmAFcfYOTIkezcuZPZs2fTpk0blixZwn333UdhYSGjR48usd2lS5cYOHAgZ8+e5Z133iEqKor33nuPIUOGsGnTJvr162c997vvvmPo0KEMGzaM1atXk5mZyXPPPcfAgQPZtWuX+28fmgETUHDlMBb7d2n/v4xtAmSfEOVfuW5VEYhlU9i6QAS2CVJtlBiJiIiIeJHBYCA6Opro6Gji4+Ot5WazmT/++MOaPKWmplqnXhw+fJi8vLxKjSMvL4/09HTS09Ndjj8iIoLw8HDCwsKoXbs2YWFh1sP+/yWdExISYj2Cg4OtXz21h5VLd5jWr1/PsGHDrElSkcGDB5OSksKxY8fw93c+Nmvu3LlMnjyZH3/8kd69ewNgNBrp0qULYWFhbN++3XrujTfeyMWLF0lKSiIgwJLT/fjjj9x0003MnTuXRx991ObaJpPJYe37HmN7kJWdBYVYkpSio+j/Rrv/Fz8KsCRN1V0QljtCYcA1QDiWxKjoay2UFImIiIiUU+aUTG+H4FTxuyVhYWGcPn2ao0eP2hwZGRmcPHmS9PR0Ll686MVoK09wcDBBQUHWJCooKMiaTBX9OzAwkMDAQAICAqz/vuaaa3j++edtrhUWFlZiHuNSwjRhwgQ+/fRTsrOzrYkMwNKlSxk9ejQ//PADffr0cdp20KBBHD9+nNTUVJvyV199lRdeeIETJ07QtGlT0tPTadasGa+++ipTp061Obdt27bExMTw9ddf25QbjUaf+cGLiIiIiIhn1a5d2ya/Kc6lQYXJycm0b9/e4WKdO3e21pfWtug8Z21TUlJsrlHSuaU9hoiIiIiISGVyKWE6c+YMkZGRDuVFZWfOlLzIQnnbFn0t6dzSHkNERERERKQyubxsRWmTq8qaeOVK25LO9dTkLhEREREREZdWyatXr57TOzxZWVmA87tCrratV68e4PxuVVZWltPH8PPzo3bt2jZlBoNByZWIiIiIiNgwm83YL+NQ2vLnLiVMnTp1YunSpRiNRpt5TPv27QOgY8eOpbYtOq84+7ZFX/ft28cdd9zhcK6zx/Dz86uSa7yLiIiIiEj15lKWMWLECHJyclixYoVN+aJFi2jSpAk9e/YstW1qaqrN8uFGo5HFixfTs2dPmjRpAkDTpk258cYbWbx4MSbTn5sWbdu2jV9++YWRI0e6ErKIiIiIiMhVc2lZcbDsubRr1y5ee+01WrVqxdKlS5k/fz6LFy9mzJgxADz88MMsWrSIQ4cOERMTA1g2ru3WrRvnz59n9uzZREVFMXfuXNasWeOwce23337LoEGDiI+P57HHHiMzM5OpU6cSHh7umY1rRUREREREuIpFH1auXMkDDzzA9OnTGTJkCNu3b2fp0qXWZAksG8maTCabsYHBwcFs3ryZAQMG8MQTTxAfH09GRgYbNmywSZYA+vfvz/r168nIyCA+Pp4nnniCAQMGsHnzZiVLlWzr1q3ccccd1K1bl9DQUFq3bs0rr7zi7bDER/38888MHz6cJk2aUKtWLdq1a8fMmTPJzc31dmhSzV24cIFnn32WwYMH06BBAwwGAy+99JLTc3fv3s1tt91GWFgYERERjBw5ksOHD3s2YKnWyvN6M5lMvPXWWwwZMoRmzZpRq1Yt2rdvz9SpUzl79qx3Apdqy5W/cUXMZjO33HILBoOBxx9/3DOB+iiXE6awsDDeeecdMjIyuHTpEklJSSQkJNic89FHH2E2m4mNjbUpb9iwIYsWLeLMmTPk5eWRmJjIbbfd5vRxBg0aRGJiInl5eZw5c4ZFixYRFRXlarhSiiVLltCvXz/Cw8P5+OOPWb9+Pc8995zDJDiRyrB//3769OnDkSNHePvtt1m7di0JCQnMnDmT++67z9vhSTV35swZ3n//fS5dusTw4cNLPC81NZX+/ftz+fJlli9fzsKFC/n111/p27cvp06d8mDEUp2V5/WWl5fHSy+9RExMDG+//Tbr169nwoQJvP/++9x0003k5eV5OGqpzsr7N6649957j99++83NkdUMLi36IL4jPT2diRMn8sgjjzB37lxr+YABA7wYlfiyJUuWkJ+fz4oVK2jZsiUAt956KxkZGbz//vtkZ2dTt25dL0cp1VVMTAzZ2dkYDAZOnz7NggULnJ43ffp0goODWbt2LXXq1AGgW7dutG7dmjlz5vDaa695MmyppsrzegsNDSUtLc26+i9YRtBER0czatQoVqxYwf333+/JsKUaK+/fuCJHjhzh+eef5+OPP9b8/0qgpeVqqAULFnDx4kWee+45b4ciNURgYCAA4eHhNuURERH4+fkRFBTkjbDER5RnKwmj0cjatWu56667rMkSWDoiAwYMYNWqVe4OU3xEeV5v/v7+NslSkRtvvBGA48ePuyU28U2ubpczceJEBg0axIgRI9wYVc2hhKmG+u9//0tkZCSpqal07dqVgIAAoqKimDRpEufPn/d2eOKDxo4dS0REBI8++iiHDx/mwoULrF27ln/9619MnjzZYS81kcp26NAh8vLy6Ny5s0Nd586d+e2338jPz/dCZFKTfPPNNwBcd911Xo5EfNWCBQvYsWMH7777rrdD8RlKmGqo9PR0cnNzGTVqFPfeey+bNm3ib3/7Gx9//DF33HGH5jFJpYuNjSUxMZHk5GRatmxJnTp1iI+PZ+zYsbzzzjveDk9qgKIN0Z1tgB4ZGYnZbCY7O9vTYUkNkp6eztSpU+nevTtxcXHeDkd8UHp6OlOmTOH111+3btkjFac5TDVUYWEh+fn5zJgxg6lTpwKWsdVBQUE89dRTbN68ucQFOUSuxpEjR4iPj6dhw4Z89tlnNGjQgO3btzNr1ixycnL44IMPvB2i1BClDWtxZciLiCuysrKsH0guW7YMPz99Zi2Vb9KkSXTp0oUJEyZ4OxSfooSphqpXrx4HDx7k9ttvtykfOnQoTz31lHXZXZHKMnXqVM6fP8+ePXusw+9uueUW6tevz0MPPcSDDz7osMWASGUqmk9SdKepuKysLAwGAxEREZ4OS2qA7OxsBg0aRHp6Ot988w0tWrTwdkjigz777DO+/PJLtm7dyrlz52zqLl++zNmzZ6ldu7Z1TrGUnz7eqKGcjeEHrEPx9MmXVLY9e/bQoUMHh7lKPXr0ACA5OdkbYUkN0rJlS0JDQ9m3b59D3b59+2jVqhUhISFeiEx8WXZ2NrfddhtpaWls3LixxPdfkYpKTk7GaDTSq1cv6tataz0A5s+fT926dVm3bp2Xo6ye1Cuuoe666y4ANmzYYFO+fv16AHr16uXxmMS3NWnShJSUFHJycmzKExMTAWjWrJk3wpIaJCAggPj4eFauXMmFCxes5ceOHWPLli1aelcqXVGydPjwYb7++muuv/56b4ckPmzcuHFs2bLF4QAYPnw4W7Zs4eabb/ZylNWThuTVUIMHDyY+Pp6ZM2dSWFhIr1692LVrFy+//DJxcXH6hZJK99RTTzF8+HAGDRrE008/Tf369dm2bRuvvvoqHTp0YOjQod4OUaq5DRs2cPHiRWsytH//fj777DMA7rjjDmrVqsXLL79Mjx49iIuLY+rUqeTn5zN9+nTq16/PM888483wpZop6/VmMBi4/fbb+fnnn3n77bcxGo1s27bN2r5BgwbWPelEyqOs11xsbCyxsbFO2zZt2pT+/ft7KFLfYzBrObQaKy8vj5dffpklS5aQkZFBkyZNGDNmDDNmzCA4ONjb4YkP2rJlC7Nnz2bv3r2cO3eO5s2bEx8fz/PPP+90vxIRV8TGxnL06FGndWlpadaOxE8//cRzzz1HYmIiAQEB3HrrrcyZM0edV3FJWa83gGuvvbbE9mPHjuWjjz5yR2jio8r7N86ewWBg8uTJWma8ApQwiYiIiIiIlEBzmEREREREREqghElERERERKQESphERERERERKoIRJRERERESkBEqYRERERERESqCESUREREREpARKmEREREREREqghElERERERKQESphERERERERKoIRJRERERESkBEqYRERERERESvD/HLNbIImCMfMAAAAASUVORK5CYII=\n", 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" ] }, "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). $\\mu_{f_x}^2$ 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": { "scrolled": false }, "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": [ "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": 8, "metadata": {}, "outputs": [], "source": [ "from collections import namedtuple\n", "gaussian = namedtuple('Gaussian', ['mean', 'var'])\n", "def gaussian_repr(self):\n", " return '𝒩(μ={:.3f}, 𝜎²={:.3f})'.format(self[0], self[1])\n", "gaussian.__repr__ = gaussian_repr\n", "\n", "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": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "𝒩(μ=25.000, 𝜎²=0.530)" ] }, "execution_count": 9, "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": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "𝒩(μ=10.800, 𝜎²=0.008)" ] }, "execution_count": 10, "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": 11, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "𝒩(μ=10.000, 𝜎²=0.500)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "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": "code", "execution_count": null, "metadata": {}, "outputs": [], "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": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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bNm655RaCg4MJCAigT58+vP3227aGIYQQbqlCU8G7J98F4I8D/tjigyCDwcCx3GMs+O8CKjQVLXpsIYTwdGPHjuWBBx5o8J6bsLAwq4MggGnTpjFkyBBeeeUVZ4XYoL179zJjxgy3GQSlpaWxceNGVqxY4epQrLJ5aty0adM4fPgwy5cvp0ePHqxfv56ZM2ei1+uZNWtWg/suX76cBQsW8Oijj/Lss8+iVqs5ffp0nfl8wnMVFRWh1+tRKpWEhYW5OhzhYVpD/uzJ3ENpTSntA9tzZ1zLl7E2YOD5/z5PZmkm/SL6cX/P+1s8BldoDbkjXEfyR9ijdvU1lUrFO++8w/bt28051ZJWrVrVosdrTGZmJq+//jojRzpuMXFHsmkgtGPHDnbv3m0e/IBx5JyRkcH8+fOZPn16vfNsjx49yoIFC3jllVcsFp/61a9+ZUf4wt1kZmai0WhQq9Xyx0TYrDXkz7a0bQBM7jYZL2XL33egVCiZ1WsWyw8t58PUD7m3x70oFa1/SnFryB3hOpI/wh41NTUYDAYUCgUqlYqEhIRml6BubcaOHcvYsWNdHUa9bPrruHXrVgIDAy1KCQI89NBDZGdnc/DgwXr3ff311/Hx8eGPf/xj8yIVQgg3d7X8KodyDgEwuetkl8UxpdsUAtWBpBensz97v8viEEIIIdyZTVeEkpOT6dWrFyqV5W59+/Y1b7++prrJ999/T69evdi8eTPLli3j/PnzREdH88ADD7B06VKLahn1SUlJoVOnTgQHB5sfq66u5vTp04BxzmbHjh0t9jl37hwVFcZ58rXLAQLk5+dz+fJlwFjpo/a3QDqdzry4VVBQUJ1SgOnp6ZSUlADQp08fi3Ny7do1MjIyAGPd+IiICIt9T5w4gcFgwM/Pz1xz3iQrK8u8sm/Pnj0t5qiWlZWZa9NHRkbWqQhy6tQp8zda19dqz8nJITc3F4CuXbtaLGhVVVXFmTNnAONqwtfffHb27FkqKytRKBTm99okLy+P7GxjVaxOnToRGxtrvhSs1WpJSUkBIDg4mLi4OIt9L1y4YL6pLSEhweJqYlFREZmZmQDExsbStm1bi32TkozrpPj7+9O9e3eLbZmZmRQVFQEQHx9vMY+3pKSE9PR0ANq1a0dUVJTFvikpKWi1Wnx8fIiPj7fYlp2dTV5eHgDdunWzWBStoqKCc+fOAcYVm69fD+DMmTNUVVXh5eVV51ui3NxccnJyAOjcubNFOciamhpSU1MBCAkJoXPnzhb7pqWlmSvEJCYmWlyCLygo4NKlS4BxfYI2bdqYt+n1evPCaYGBgXTt2tWi3YsXL1JcXAwYF5Gr/ftZXFzMxYsXAczlZmtLTk5Gp9Ph6+tLz549LbZdunTJvJp19+7d8ff3N28rLy9Hr9fj5eVVZ8E5gNOnT1NdXY1KpaJPnz4W265cucLVq1cBiIuLc1kfEekfybo71nE89zg1eTUkpRnz1BV9xG0xt7ElYwvrUtdxc+zNgHv0EaGhoeZtjuwjavc9IH2ESWvrI86fPw8Yy13HxMRY7GtPH2Hqe6zdFyKfI4xMfYRarUan01n8Pur1eqqqjOumqVSqOp/pqqqqzFXHar+nABqNBo1GA4C3t7fFeTAYDFRWVgLGyn7X35dTXV2NTqcDwM/Pz6JMslarNd96oVarUavVFvua3lOlUlnnfa/drq+vr8XvjU6no7q62qLd2m1XVlaarw75+flZtFtTU2OeRufj42NxDmu329A5tNZuQ+ew9ntj7RzWfm8aOocNvTe2nsPG3hvTObTWrukclpaWUlFRYZFPpvfUFjYNhAoKCur8IoPxD6Npe30uX75MXl4eTzzxBMuWLaN3797mMoJZWVl89NFHjR5fq9XWWTHdYDCY3/zrV8g1PWbafj29Xm/eVrssoElT270+ptrtmpLg+nYNBkOdN970fHvare+11m73+tda+xxaa9f0Wq3VYb++3doDltrxuMt709hr1Wg0aLVaq3N6G3pvmtKuRqOxuq2hdk37NtauNU09h9b2rx3T9Rp7rTU1NeYPFQ21a+0cmtqzdhOq6bVaO0dNfW+cnYcKhYJ+Ef3oF9GPc+fOubSPmBQ7ia0ZW/nx8o9cKL5Al5AubtFH1Neuve/N9R+2pY+wbNcaT+wjmvJam9NHmNqz9jsnnyMs273+y3AT07GsnX+DwWD18ev3bWg/R7bbWLy2xlT7fagvB+2NyXRce86Drfs25fw3p93G9jX9LjV2Hqz9LtvK5mIJDS1K1NA2U0m72jXKx44dS3l5OatXr2bJkiXmBZvqDValqnMMhUJhTkBrv5ymRa6sUSqV5m3W/qg1td3rY6rdrrWOXq1WYzAYrLbr5eVlV7u1/1tfu9e/1trn0Fq7ptdq7f1tarvu8t409lpNr7Oxc9icdq//Bq0p7Zr2bahde89hY6/1eo29Vm9vb3Q6nVPOoV6vt/n3xh3zsCX6iMjASMZ2GMu3Wd+yPnU9zw97XvoIK+1KHyF9hDvmoTt/jqjvs57pcWvbFQpFsz4/1t7Pke02Fq+9MTWn3cb2NR3XnvNg6772vFZ7YlIqlearavW1a639ho5Xbxy2rCM0fPhwdDodhw4dsng8JSWFhIQE3nrrrToLSJlER0dz5coVCgsLLS4df/3119x+++1s3LiR++//pbqRrCMkhPAk//z5nxRVF/FArwfoGtq18R1awOErh1n440LmJMy5YarHCSGcq7WvIyQ8g0vWEUpMTCQ1NbXOJV7TPOKGKmRcP2/cxDQOkwGOEMJTaXQaNp3dxKdnP+VK+RVXh2M2uN1gvpz6pQyChBBCCCtsGn1MnTqVsrIyNm/ebPH42rVriYmJYejQofXue8899wCwc+dOi8d37NiBUqlkyJAhtoQi3FRSUhJHjhwx36gshC08NX++v/Q9xdXFRPhFMCx6mKvDMVMoFC4p4e0Knpo7wj1I/gh7VFRUUF5e3qyb9YVr2XSP0MSJExk/fjyPPfYYJSUldOvWjQ0bNrBr1y4+/PBD83zThx9+mLVr15KWlkanTp0AY4ntt956i9///vfk5+fTu3dvvvnmG9544w1+//vfm58nhBCeZnvadgAmdZnklgOPck05P1z+gR6hPegSWrfgjRBCCHEjsrlYwpYtW1iwYAGLFi2isLCQ+Ph4iwIIYKwsotPpLKo3qNVqdu/ezXPPPcfLL79MYWEhcXFxLF++nP/3//6fY16NcDl/f3+0Wm29VWWEaIgn5k9RVRHfX/4egLu63uXiaKx7+eDLbE/bzm96/4b5Q+a7Ohyn8MTcEe5D8kfYo6Gb+4V7s6lYQkuSYglCCE/wUepHLD+0nF7hvdh01yZXh2PVnow9PLXvKWICYth1zy75Yy2EaDYpliDcgUuKJQghhLD0edrnANzd7W4XR1K/EbEj8FP5kV2ezamCU64ORwghWp38/HyOHTvm6jCEjWQgJIQQzaTT6xgRM4IOQR2YGDfR1eHUy0/lx8jYkQDsztjt4miEEKJ1+f7774mLi2PgwIG88MILrg5H2EAGQkII0UxeSi+eGPgEX079knDfcFeH06DxncYDxoGQm86IFkIIt3T16tV6txkMBpYuXcqGDRuIjo4mOzubpUuX0rt3b/R6vfl5paWlPP3009x2221ERESgUChYvHhxve2WlZXx1FNPERMTg6+vL/379+fjjz9uNNZvv/2WOXPmEB8fT0BAALGxsdx9990cPXrUptfc3Livt2/fvjqLoJp+Dhw4YH7emjVriI2Npby8vFlxNpcMhIRDZWZmcuHCBTIzM10divBAnpo/nnDPzej2o/FWepNZmsnZorOuDsfhPDV3hHuQ/BENmT17NhcvXrS67eDBg9x9992MHz+eEydOsHDhQlauXMnSpUst7k0pKCjg7bffprq6milTpjR6zGnTprF27VpeeOEFdu7cyZAhQ5g5cybr169vcL9///vfXLx4kSeffJIdO3bw6quvkpuby7Bhw/j2229tet3Nibs+L7/8Mvv377f4qb3+6IMPPkhAQAArV65s9jGaQ8qjCIcqKipCo9GgVqvp2LGjq8MRHsaT8ie1IJUr5VcY2X4kaqXa1eE0KkAdwIiYEey7tI9jucfoGd7T1SE5lCfljnA/kj+iIUeOHGHNmjUsW7aszrbPPvuMuXPnotVq8ff3Z9WqVYSGhjJt2jSL53Xq1ImioiIUCgX5+fm8++679R5vx44d7N69m/Xr1zNz5kwAxo4dS0ZGBvPnz2f69OnmJWuu98YbbxAZGWnx2IQJE+jWrRsvv/wy48aNs+m12xJ3Q7p3786wYfWvs6dSqXjkkUdYtmwZf/3rX/H392/WcWwlV4SEEKIZPjj1AU/sfYLVR1e7OpQme3Lgk+y6Zxcz4mc0/mQhhLBVTbnrfxzswoULFBcX895776HVautsz8nJITo62vjya2pYs2YNs2bNqlOpzDQdrCm2bt1KYGAg9913n8XjDz30ENnZ2Rw8eLDefa8fBAEEBgbSu3dvsrKymnT82myJ216zZ8+mpKSkSVMAHUWuCAmHio+Pl1r6otk8JX/KNeXsydwDwO2db3dxNE3XLaybq0NwGk/JHeGeJH8c5OUYV0cAi4sd2tyRI0eIi4sjPT2dbdu2cc8995i3nTlzhp49e+Lr62t+bkFBAWPHjrXrmMnJyfTq1avOulZ9+/Y1bx8xYkST2ysuLubnn3+2+WqQIz3++OPMmDEDf39/hg8fzsKFCxk5cqTFc6KiooiPj+fLL79kzpw5LRKXXBESDuXj44Ovry8+Pj6uDkV4IHfIH73ewP60Ap7dcoIxq/by6Lqj7DyZQ5VGZ37OD5d+oFJbSafgTiS2TXRZrPbQG/SNP8mDuEPuCM8l+SPqc+DAAV577TXUajWvvfaaxbZt27Zx9913o1QqUSqV5is1AwcOtOuYBQUFhIfXLcBjeqygoMCm9h5//HHKy8tZsGCBXXE1R0hICE8++SRvvfUWe/fu5dVXXyUrK4sxY8bw1Vdf1Xn+wIED+fHHH1ssPrkiJIS44RkMBlKyS9ielM3249lcKakyb7tYUMGulCsE+aiYkBDFlAGx7Mv+DoBxHcZ53DfIF4svsurIKoqri/nwjg9dHY4QojV5LtvVETjcsWPHWLVqFffeey8bNmzg559/Ng90UlNTefrpp83Pzc7ORqFQ0LZtW7uP29DfFlv+7ixcuJCPPvqI1157jUGDBtkdl60GDBjAgAEDzP8eNWoUU6dOJTExkaeffprbb7ecVREZGUlubi5arbbOFTFnkIGQEOKGVVyp4YOfLrItKZvzuWXmx4N8VdyREM24XpH8nFnE58ezyS6u4pOjl/jkaCZBPfaCF/QMvsmF0TdPsE8w/738X/QGPZdKL9E+qL2rQxJCtBbeAa6OwKEKCwsJDw/Hy8uLhQsXsnHjRpYsWcK2bdvIz8+vcz9OZWUlarW63kIGTdWmTRurV30KCwsBrF4tsmbJkiW8+OKLvPTSS/zhD3+wKyZHCg0NZdKkSbz55ptUVlbi5+dn3ubr64vBYKCqqorAwECnxyIDIeFQJSUl5nnWwcHBrg5HeJiWzJ9rFTXMePsAp6+UAuCtUnJrr0gm94tlbHwEPirjH7Lb+0Tx19vjOXyxkG1J2Xx5Zj96r3IMOl8WfFxKt3ml9IwKcmqsjhTuG87gdoM5dOUQezL38GCfB10dkkNI3yPsIfkjrNmyZQuTJ08GoFevXsyePZt169axd+9esrKymDRpEgA6nQ6DwUB4eDg1NTWUl5cTEND8QWFiYiIbNmyoc1Xk5MmTABZlp+uzZMkSFi9ezOLFi3nuueeaHYuzmNazu/7qVmFhIT4+Pi0yCAK5R0g4WHp6OufOnSM9Pd3VoQgP1FL5U1Kl4TfvHeL0lVLaBvqw6t6+HHn+Vv41exATEqLMgyATpVLB0C5teHlqIo9PNHabAboErlXomf3uQS7klVk7jNu6tdOtgHFx1dZC+h5hD8kfYc3WrVstKretWLGCoKAg5s6dy549e8wFC6qrq6murqZr164ApKWl2XXcqVOnUlZWxubNmy0eX7t2LTExMQwdOrTB/ZctW8bixYt5/vnneeGFF+yKxRmKior44osv6N+/v7lkEGAEAAAgAElEQVTQhMmFCxfo3bt3i8UiAyEhxA2lvFrLQ/85zIlLxYQHeLN+7lDuG9yBYN+mrQU0t+/DbJuyjTfv+iu9ooPJL6tm1jsHySqscHLkjvOrjr8CICkviavl9a+YLoQQN5Lz58/TuXNn9u7dyxtvvMHgwYMt1rOJjo7mpZdeIi0tDaVSWWcK3OjRowFjgQVrdu7cyaeffsrnn38OwKlTp/j000/59NNPqaj45W/IxIkTGT9+PI899hjvvPMOe/fuZd68eezatYuVK1eaj/vdd9+hUqlYunSped+///3vLFq0iAkTJnDnnXdy4MABi5/rKRQKxowZ0+B5aUrc1mIBmDVrFs888wyffvop+/bt45133mH48OFcvXqVVatWWTxXr9dz6NAhu6vu2UKmxgmHateuHTqdzu75seLG5Oz8qdLo+N3aIxzNKCLYV8UHc26iRzvbprUpFAq6hHSBEPjw4Timv32A87llzHznAJ88OpzoEL/GG3GxSP9I+kf053jecb7J/IbZvWa7OiS7Sd8j7CH5I8BYZjojI4Nx48Zx8803s3t33avmf/jDH9i+fTt33323+TG1Wo3BYCAuLo5Ro0axbds25s2bV2ffxx57jIyMDPO/P/nkEz755BPAeFWyc+fO5m1btmxhwYIFLFq0iMLCQuLj49mwYQMzZvyyDpzBYECn06HX/1IF1DRY2bVrF7t27aoTg2lKGkBZmXE2g2kdpPo0JW5rsYCx5PfGjRt58803KSsrIzw8nJEjR7Ju3TqGDBli8dx9+/ZRXFzM7Nkt9zdJYah9RtyIXq+ntLTU4rGgoKA6C1QJIURTVGt1zPvgKN+dzSPQR8W6h29iQMcwu9vNLani/rf2c7Gggi5tA/j4kWFEBvk2vqOLfZDyAauOrGJwu8H8Z8J/XB2OEMJDZGVl0aFDB1eH4TR79+7l8uXL3HvvvXWmbZkUFRXh7+9vtdz65s2bmT59OhkZGcTGxjo7XLvs2LGDSZMmkZSURGKi65eC+PWvf82FCxeaVD7bWh42Z+wgowohRKun0en54/pjfHc2D1+1kvd+O6RZg6BnfniGP+/7M2cKz5gfiwz25aO5w4gN9eNCfjkPvHuQwvIaR4bvFLd2upVB7QZxW+fbXB2KEEK4jbFjx/LAAw/UOwgCCAsLq3fNqWnTpjFkyBBeeeUVZ4XoMHv37mXGjBluMQhKS0tj48aNrFixokWPKwMhIUSrptMb+H+bkvj61FW8VUre/c0QboprWunR2qq0VezJ2MPXGV/X2RYb6sf6uUNpF+zD2atl/HrNQYorNY4I32liAmN4f8L7zIyf6epQhBCi1VAoFLzzzjvExMTUmSbmblatWsX69etdHQYAmZmZvP7664wcObJFjysDISFEq7b08xQ+T8pGpVTw79kDGdm9eQvdHbpyiCpdFVEBUfQI61Fne6c2AXz0u2G0DfQmJbuEOe8fRqtz7z+CQgghHC8hIYHnnntObuewwdixY63eV+Vs8g4Jh0pJSeH48eOkpKS4OhThgRydP0czClm733iD5z9nDuBXvdo1u63vL30PwOjY0fWu6t0tMpAPfzeUIF8VRzOK+PBAhtXnuZPCqkI+PfspxdXFrg7FLtL3CHtI/gh7VFZWUlFRQWVlpatDETaSgZBwKK1Wa/4RwlaOzB+d3sDCz4wfau4f3J47EhuuitMQg8FgHgjd0uGWBp8bHxXMXyfEA/D33WfJK61u9nFbwtyv57Jk/xL25+x3dSh2kb5H2EPyR9jDYDCYf4RnkYGQcCgfHx/zjxC2cmT+fHQwg1M5JQT7qswDk+Y6d+0cOeU5+Hr5clPUTY0+f+ZNHUmMDaG0SsvynaftOrazDYseBsD+bM8eCEnfI+wh+SPsoVAozD/Cs8g6QsKh4uPt+8ApbmyOyp/8smpWfWWs7DZ/QjxtAu37cGO6GnRT9E34qhovje2lVLBsSgJT//Ujm3++xIybOjCks+0FGlrCzTE388GpD/jx8o8YDAaP/UMufY+wh+SPsIefn/uvHyeskytCQohWZ/nO05RWaUmIDWbWTR3tbq+dfzv6tu3LmA5jmrxP/w6hTB9sXONg4WfJbls4YWC7gXgrvblacZX04nRXhyOEEEK0GBkICSFalSMXC/n06CUAlt2dgJfS/iscd3W9i4/u/Ih7u99r035PT4gnxE/N6SulrHPTwgm+Kl8GtRsEwE/ZP7k4GiGEEKLlyEBICNFqaHV6Fm4zFkiYMaRDsxZNbYit08bCA7x5ekJPAP7v67PkllY5NB5HGREzApCBkBBCiBuLDISEQ2VnZ5OVlUV2drarQxEeyN78+fBABqk5JYT4qXnazgIJJkl5SZTWlDZ7/xlDOtK3fQil1e5bOGFErHEgdPTqUTR6914Itj7S9wh7SP4Ie9TU1Jh/hGeRgZBwqLy8PK5evUpeXp6rQxEeyJ78ySut5u9fnwVg/u09CQ/wtjserV7LY988xuiPR3O26Gyz2vBSKlh2dwIKBWz5+TKH0gvtjsvRuod2Z9Utq9gxbQdqpdrV4TSL9D3CHpI/wh5arRaNRiPl1z2QDISEEK3CKztTKa3WkhgbwkwHFEgAOJ57nNKaUgK8A+ga0rXZ7fTrEMqMIcaYFm1zv8IJCoWCCZ0n0MavjatDEUKIG1rnzp357W9/67T2169fz+rVq53WvqeR8tnCobp16+bRJXiFazU3fw6lF7Ll58soFLBsimMKJAB8f9lYNntk7Ei8lF52tfX07T3ZmZzD6SulfLA/gzkj4xwRovgf6XuEPSR/hD08af2p9evXk5yczFNPPeXqUNyCXBESDhUQEEBgYCABAQGuDkV4oObkj15v4IXtvxRI6N8h1GHxfJ9lHAjd0v4Wu9sKC/Dm6duN9y393+6z5JdV292mIxkMBt5Lfo+Hv3qY/Mp8V4djM+l7hD0kf4Q9vLy8qKmpwcvLvi/MRMuTgZAQwqN9ezqX1JwSgnxUzL/dcYsiXiq9RFpxGl4KL3NVNXtNH9KBPjHBlFVr+WC/e5XTVigU7ErfxaErhziQc8DV4QghPFCFpqLen2pddZOfW6WtavZz7bF48WIUCgXHjh1j2rRpBAcHExISwgMPPGBx/1jnzp2ZNGkSW7ZsYcCAAfj6+rJkyRIAqqqqePbZZ4mLi8Pb25vY2Fgef/xxrl27ZnEsjUbD008/TVRUFP7+/owcOZJDhw7VG9P13n//fRQKBRcvXrR4fP369QwfPpzAwEACAwPp378/a9asAWDMmDF8+eWXZGRkoFAozD83MpkaJ4TwaG9/fwGAWcM6OqRAgsl/L/8XgP6R/QnxCXFIm15KBb8f043H1//Muv0XeeyWrvh5u883iMNjhpNamMr+7P1M6jLJ1eEIITzM0PVD6902KnYU/7r1X+Z/j9k0hkptpdXnDm43mP9M+I/53xM2T6Cousjqc/u06cPHkz5uZsTWTZ06lfvvv59HH32UlJQUFi5cyKlTpzh48CBqtbGgzM8//0xqairPP/88cXFxBAQEYDAYmDJlCnv27OHZZ59l1KhRnDhxghdeeIH9+/ezf/9+8zS6uXPn8sEHH/CXv/yF8ePHk5yczLRp0ygtbX6V0kWLFrFs2TKmTZvGn//8Z0JCQkhOTiYjw/jF27/+9S/mzZtHWloaW7dutf9EtQI2D4TKysp4/vnn2bRpE4WFhcTHx/PMM88wY8aMBvd7//33eeihh6xuy8nJISoqytZQhBuqqKgwz7P29/d3dTjCw9iaP8cyizh0sRC1l4I5Nzv2nhvTVZGbY252aLsTEqLoGO5PZmEFnxzN4jfDOzu0fXuMiBnBe8nv8VP2Tx53v4T0PcIekj+itmnTprFy5UoAbrvtNtq1a8fs2bPZtGkTs2fPBiA3N5dTp07Ro0cPdDodADt37uSrr75i5cqVzJ8/H4Dx48fToUMHpk+fzgcffMDcuXM5ffo0a9eu5U9/+pP5OOPHjzcfpznS09N5+eWXmT17Nh9++KH58fHjx5v/v3fv3oSGhuLj48OwYcOadZzWxuaB0LRp0zh8+DDLly+nR48erF+/npkzZ6LX65k1a1aj+//nP/8hPt5y+kqbNlKpqLU4d+4cGo0GtVpNv379XB2O8DC25s87PxivBt3dP5Z2wb4OjeXPg//MzbE3M7jdYIe266VU8LtRcSzalsK7P6Qze2gnhxV3sNeAyAH4qfzIr8znbNFZeob3dHVITSZ9j7CH5I9jHJx1sN5t1xec2Xf/vnqfq1RY3rmx655dTX6uI1w/GLn//vt58MEH2bt3r3lb37596dGjBwDV1dUYDAa++eYbgDpV3+677z7mzJnDnj17mDt3Lnv37m3wOM2xe/dudDodjz/+eLP2v1HZNBDasWMHu3fvNg9+AMaOHUtGRgbz589n+vTpjd4olpCQwODBjv1gIYS48WQUlLMr+QoAc0d1cXj7HYI60CGog8PbBbh3UHv+b/dZMgsr+CrlCnckRjvlOLby9vJmcLvB/HD5B37K/smjBkJCCNfzVzf9apqznusI189SUqlUtGnThoKCAvNj0dF1++3CwkJUKhUREREWjysUCqKiosz7m/5b33Gaw3QPU/v27Zu1/43KpmH01q1bCQwM5L777rN4/KGHHiI7O5uDB+v/JkDcGNq0aUNERIRc5RPNYkv+vPtDOnoDjOkZQc+ooBaIznH8vVX8ZlgnAN76/gIGg8HFEf3CVBjip+yfXByJbaTvEfaQ/BG1XblyxeLfWq2WgoICi/yoPXVYpVKhUqlo27YtWq22zsK8BoOBK1eu0LZtW+CXmVD1Hac2X1/jbIfqastiE/n5ltU9TYOvS5cuNe1FCsDGK0LJycn06tULlcpyt759+5q3jxjRcHWlSZMmkZeXR0hICGPGjGHp0qUkJCQ06fgpKSl06tSJ4OBg82PV1dWcPn0agLCwMDp2tFxI8dy5c1RUVADUudydn5/P5cuXAejYsSNhYWHmbTqdjuTkZACCgoLo0sXyG+f09HRKSkoA6NOnj8U5uXbtmvnGtJiYmDrfDJw4cQKDwYCfn5/5sqpJVlYWhYXGled79uxp/gUA4/1ZaWlpAERGRtb5NuLUqVPmS/u9e/e22JaTk0Nubi4AXbt2JTAw0LytqqqKM2fOABAeHk6HDpbfgp89e5bKykoUCoX5vTbJy8sjOzsbgE6dOll8E6HVaklJMZY1Dg4OJi7O8h6OCxcumG8KTEhIsLiaWFRURGZmJgCxsbHmzsMkKSkJAH9/f7p3726xLTMzk6Ii402V8fHxFvX9S0pKSE9PB6Bdu3Z1vo1JSUlBq9Xi4+NTZwpndna2uXPr1q2bRZnViooKzp07Bxg7uOu/kTlz5gxVVVV4eXnVyffc3FxycnIAYyWakJBfbsyvqakhNTUVgJCQEDp37myxb1paGmVlZQAkJiaiVP7y3UZBQYG5Q2zfvr1FB67X6zl58iQAgYGBdO1quVjoxYsXKS4uBqBXr154e/9ShKC4uNhcpSY6OprIyEiLfZOTk9HpdPj6+tKzp+UVhUuXLpk7+e7du1vMxS8vLzdvu/53BuD06dNUV1ejUqmI7tydT45mATBvdBeuXLnC1atXAYiLi7O7j3gz6U1CfEIYEjSE8vxywPF9xKCQctRKSMq6xqH0QoZ2+eX9cWUfEV4Vjq+XL0HeQeZ7JhzZR4SG/lLe3JF9xPW/c9JHGLW2PuL8+fOAsY+IiYmx2Ld2H9GnTx+LbY31EaZj1v4dN5HPEUamPkKtVqPT6Sx+H/V6PVVVxuptKpXKIh/A+DlDrzcuJH39PVgajQaNRgOAt7e3xXkwGAxUVhoLKnh5edVZr6e6utp8f46fn5/F4ESr1VJTUwOAWq02FzkwMb2nSqXS4hwBfPDBB/Tq1QswDkQ2bdqEVqtlzJgx6HQ6DAYDOp3OfK5Mr/e2227j73//O++99x5PPPEEfn5+AGzevJny8nJuueUWKioqGDrUWFTio48+YtCgQYAxX9atW4dWqzWfK8D8O3348GEGDhyIQqHAz8+Pzz//3OIcjho1Ci8vL9544w2GDx9u3lb7vTGdQ9M5vf69aegcNvTeWDuHtd8bX19fi76nsfemsrISg8Fgtd2amhq0Wi2lpaVUVFRY5JPpPbWFTQOhgoKCOr/IYPzDaNpen6ioKBYsWMCwYcMIDg7m5MmTLF++nGHDhvHjjz82aU6uVqut882pwWAw/wJptVqr+5i2X0+v15u31U46k6a2e31Mtds1JcH17RoMhjpvvOn59rRb32ut3e71r7X2ObTWrum1Wrtxuqntust709hr1Wg0aLVai19Yk4bem6a0q9ForG5rqF3Tvo21a01Tz6G1/WvHdL3GXmtNTQ16vd7qNFlHnEODwcC6/RlUafQkxAYzvEsbsrOzm9RuU/KwRlfDmpNrqNJVsWbkGpQaYy44uo8I8NIzppMfu9Mrefv7CxYDIVf2ERHKCHbeuZO2Yb98+SB9hGW70ke4fx/R3HbdJQ/d+XPE9V+Gm5iOZe38GwyGBq9817et9n6ObLexeD/77DOUSiXjxo3j/PnzLFq0iH79+nH//fdbPP/6fcePH8+tt97KwoULKS0tZcyYMeaqcQMGDGD27NkYDAZ69uzJ7NmzWb16NWq1mltvvZUTJ07w97//neDgYIt277jjDsLDw3nsscdYsGABKpWKjz/+mKysLIs4OnbsyF/+8hdWrFhBdXU1M2fOJCQkhJSUFHJycnj++ecxGAwkJiayZcsW/v3vfzNo0CBqamoYMGBAveeosfPf0Lbmnn/T71JD7VprvzmzK2wultBQFaGGtk2YMIEJEyaY/z169GjuvPNOEhMTWbRoEdu2bWv02CqVqs4xFAqFuSOw9supUqmsdhRgHMGatln7o9bUdq+PqXa71jp6tVqNwWCw2q6Xl5dd7db+b33tXv9aa59Da+2aXqu197ep7brLe9PYazW9zsbOYXPavf4btKa0a9q3oXbtPYeNvdbrNfZavb290el0TjmHer0eHUo+2H8RgHmju6JQKJrcblPyMCkviSpdFW182xAXHEd2mfFqhjP6iKm9g/kmvZI9p3M5n1tKt8ggc7uu7CN81ZbfwEkfYdmu9BHu3UfY+nvjjnnozp8j6vusZ3rc2vbG1qtpqE1ntNtYvBs3bmTZsmW8++67KBQK7rrrLlavXm3O3fraVygUbNq0iRdffJF169axcuVK2rZty69//WtefvllfHx8zIPid955h6ioKN5//33++c9/0q9fP9avX8+DDz5o0W5wcDC7du3iiSee4He/+x0hISHMnTuXiRMn8rvf/c7iPCxatIj4+Hj+9a9/MXv2bFQqFd27d+eRRx4xP+fJJ58kJSWF5557juLiYgwGA+Xl5fWeo8bOf0Pbmnv+lUplvZVLa69/ZO3820phsGH4NHz4cHQ6XZ0Fn1JSUkhISOCtt95i3rx5NgUwceJEfv75Z/MlaxO9Xl+nlnpQUJDVjkYIceP46GAGC7YmExvqx3fzx6Dycmyf8Pqx13nrxFtMjJvIytErHdq2NfM+OMLXp64yfXAHVtzbt/EdWlBeRR4R/nWnKQohblxZWVl1pse2FosXL2bJkiXk5eXVmZIv3Iu1PGzO2MGmTxCJiYmkpqbWucRrmkfc1Ht9ajPNARStw5kzZ0hOTjbfTyCELRrLH53ewLs/GO/feHhknMMHQQAHc4xFX4ZFt8waC/NGG6cbbz12mdwSx62Qbg+NTsOUz6Yw7pNxXC2/2vgObkD6HmEPyR9hj6qqKiorK8334gjPYdOniKlTp1JWVsbmzZstHl+7di0xMTHmm7+aKj09nR9//FEWdWpFqqqqzD9C2Kqx/Nl96irp+eWE+KmZPsTx30iWa8pJzjfe3Dw02rb+rLkGdw5nYMdQanR61u6/2CLHbIzaS20uV+sp1eOk7xH2kPwR9tDr9eYf4VlsGghNnDiR8ePH89hjj/HOO++wd+9e5s2bx65du1i5cqV5vunDDz+MSqUyVzwBuPXWW1m6dCmfffYZ3377La+++iojR45EoVCwbNkyx74q4TJeXl4olcpG15MSwprG8se0gOoDwzoS4GPzLY6NOnr1KFqDltjAWGIDYx3efn3mjTZW5PrwQCbl1XVvqnaF4THGqkP7s/e7OJKmkb5H2EPyR4BxapzBYLB5WlxD97sI92bzJ4ktW7awYMECFi1aRGFhIfHx8WzYsIEZM2aYn6PT6czlBU0SExPZuHEjf/vb36isrCQyMpJx48axcOHCOqUfhedqzvRIIUwayp+jGYUczSjC20vJg8M7O+X4WaVZqBSqFpsWZzK+dzs6t/HnYkEFGw9nMWdkXOM7OdnNMTfz9om32Z+zH71B75TV2x1J+h5hD8kfYQ9TmWzheWwqltCSpFiCEKK2lioqUK4pp0JT0eJFAj48kMHznzmvCIStNHoNoz4eRbmmnI/v/Jg+bfs0vpMQotVrzcUShOdwSbEEIYRwhYyCcnanGm/anzvauVdLAtQBLqmUdu+g9rQJ8ObytUp2pVxpfAcnUyvVDIkaAsCBnAMujkYI4S6USmW9aw0J0RKsrYHVXDIQEkK4vU1HsjAYYHSPCPNaO47m6ovjvmovZg3tCMDGw1mNPLtl3BR1EwCHrx52cSRCCHcRHh5OTk4OFRUVLu83xY1Hp9Nx+fJlIiIc84Wl4+82Fje03Nxc86KAkZGRrg5HeBhr+aPTG/j06CUAZjihUpzJSwdfIiU/hUf7PcotHW5x2nEact+gDrz27Xn+ez6fS0UVtA/zd0kcJjfH3My9Pe5lZMxIl8bRFNL3CHtI/jSdn58fsbGxFBQUUFBQ4Opw3EJNTY15AVBvb29Xh9PqRUZG4uvr2/gTm0AGQsKhcnJy0Gg0qNVq+WMibGYtf74/l8fVkmrC/NX8qpfzcupAzgEySjLQG1xX/rRjG3+Gd2nD/gsFbD56mSdv7e6yWAC6hHbhheEvuDSGppK+R9hD8sc2MmC0lJSUZM6ffv36uTocYQOZGieEcGub/jdNbMqAWHxUzilte6X8ChklGSgVSgZHDXbKMZrq/iHtAfjkaBZ6vUw7EUIIIZxFrggJh+rcubP58rAQtro+fwrKqvnmf0USnLGAqompGEBCmwSCvJ1zD1JTTUyIZtG2FC4VVbL/QgE3d7NtPQtH0+g1nCo4xeXSy9zR5Q6XxtIQ6XuEPSR/hD0kfzyXDISEQ4WEhLg6BOHBrs+fz45no9EZ6Ns+hPioYKcd92DOQQCGRg912jGaylftxeR+MXx0MJNNR7JcPhC6WHyRB3Y8gJ/Kj/GdxqP2Urs0nvpI3yPsIfkj7CH547lkapwQwi0ZDAbztLj7BjvvapDBYHCrgRDA/f97vTuTr1Bc4doytV1DuxLmE0altpLkgmSXxiKEEEI4kgyEhBBu6cSlYs5cLcVHpWRyvxinHSe9JJ28yjy8ld70i3CPm1yNV8CCqNHq2Z502aWx1L5v6vAVKaMthBCi9ZCBkHCompoa848QtqqdP5uOGK8GTUyIIsTPedOxDAYDEzpPYFzHcfiqHFOO014KhcJ8FWzTkUsujgbzwqqHrhxycST1k75H2EPyR9hD8sdzyT1CwqFSU1OlhKRoNlP+6BVebD+eC/wyTcxZuoZ2ZdUtq5x6jOaYOiCW5TtTOXm5mFPZJfSOcd49Uo0xLax6PPc4NboavL3cb50M6XuEPSR/hD0kfzyXXBESQrid/VmVlFZr6RDux7AubVwdjkuEB3gzvnc7APPVMVfpEtKFcN9wqnXVnMw/6dJYhBBCCEeRgZBwqJCQEMLCwqSCimgWU/7syzROL7hvUAeUSueVI82vzCftWhoGg3uu12OaHvfZ8ctUa3Uui0OhUJinx7nrfULS9wh7SP4Ie0j+eC6FwU0/Aej1ekpLSy0eCwoKQqmUsZsQrVlmQQWjV+1FoYD//nUcsaF+TjvWe8nv8Y+j/+CuLnfx8qiXnXac5tLpDdy8/FuulFTxxqyB3Nk32mWxpBSkoNFp6NOmj9uW0BZCCHHjas7YQUYVQgi38slR4zSwkd3aOnUQBL/c/N+rTS+nHqe5vJQK7h3UHoCNLp4e16dNH/pH9pdBkBBCiFZDBkJCCLeh0xv49KixSpqziyRo9VqOXT0G/FIMwB3dN9g4EPrhXB7Z1ypdHI0QQgjReshASAjhNv57Pp+c4ipC/dXc1qedU4+VWpBKhbaCYO9guod1d+qx7NGpTQDDuoRjMMDmo64tpX089zjL9i9j05lNLo1DCCGEcAQZCAmHSktL4/Tp06Slpbk6FOGB3tubCsDYuEB8VF5OPdaRq0cAGNRuEEqFe3eFpqtjm45mode77rbOs0Vn2XR2EzvTd7oshvpI3yPsIfkj7CH547nc+6+/8DhlZWXmHyFsUVhew48ZxpscR3dw/n0opupng9sNdvqx7DUxIZogHxVZhZUcSC9wWRymKYRJeUlUaatcFoc10vcIe0j+CHtI/nguGQgJIdzC50nZaPUQF6qiS5hzF+zU6rUcyzXeH2QqC+3O/Ly9uKt/DID5HipX6BTciUi/SDR6DSfyTrgsDiGEEMIRVK4OQLQuiYmJrg5BeKjtSdkAzBrRjcTEOKcfb8XoFRzLPUaPsB5OP5YjTB0Qy/qDmXydcpUqjQ5ftXOnDlqjUCgYHDWYHek7OHTlEDdFu0+RCel7hD0kf4Q9JH88l1wREg6lVCrNP0I01aWiCo5mFKFQwOT+sU7PH5VSxej2o3ly4JN4KVt+QNEcgzqGERPiS1m1lr2nc10Wh2l6nLstrCp9j7CH5I+wh+SP55J3TAjhcp8n5QAwNC6cdsG+Lo7GPSmVCu7qZ5we9/mJbJfFYRoIncg/QaVWynkLIYTwXDIQEkK4nGla3OR+sU4/lk6v4/Vjr/Pj5R/R6rVOP54jmQZCe1JzKa3SuBt0IwcAACAASURBVCSG9kHtaeffjpiAGHLKc1wSgxBCCOEIco+QcKiCggL0ej1KpZI2bdq4OhzhAc7nlpKaU4JKqWBorDd5eXlOzZ+zRWd568RbBKoD+WHGD045hrP0iQmmS0QAF/LK2X3qKtMGtm/xGBQKBVvv3kqQd1CLH7sh0vcIe0j+CHtI/nguGQgJh7p06RIajQa1Wi2dgWiS7f+bFje6RwRlBVcpcnL+mO5tGRA5AJXSs7pAhULB5H4xrP7mHNuTsl0yEALcbhAE0vcI+0j+CHtI/ngumRonhHAZg8HA5+ZpcTEtckzTQqqDo9x//SBrTNPj/nsun8LyGpfGotVrPW56oRBCCGHiWV+HCrfXvn178+VhIRqTfLmE9PxyfNVKxvduR1WZr1PzR2/Qc/TqUQCGtHP/9YOs6RoRSJ+YYFKyS9hxMocHhnVySRyLf1rMrou7+L9b/o8RsSNcEkNt0vcIe0j+CHtI/nguGQgJh5JLwsIW25MuA/CrXu0I8FER4OPc/DlXdI6SmhL8Vf70atPLqcdypsn9YkjJLmF7UrbLBkIavYZyTTmHrhxyi4GQ9D3CHpI/wh6SP55Lhq5CCJfQ6w18ccJ4f9BdfVtmWpwn3x9U26T/TY87fLGQnGLXlLAeEmW8omaaaiiEEEJ4GhkICSFcwvghvoogHxVjeka0yDFTClIAz70/yCQ21I8hncMwGODLE64pYT24nfEcpuSnUKGpcEkMQgghhD1kICQcSq/Xm3+EaIhp7aDbE6LwVXsBzs+fl0a+xNbJW5ncdbJT2m9JpuISpvPY0mIDY4kKiEJr0JKUl+SSGGqTvkfYQ/JH2EPyx3PZPBAqKyvjqaeeIiYmBl9fX/r378/HH39s84Gff/55FAoFCQkJNu8r3NfJkyf5+eefOXnypKtDEW5Mo9Oz46TxSkbtanHOzh+lQkm3sG5E+kc6pf2WNDExGi+lghOXiknPL2/x4ysUCvNVIXeYHid9j7CH5I+wh+SP57J5IDRt2jTWrl3LCy+8wM6dOxkyZAgzZ85k/fr1TW7j+PHj/O1vf6Ndu3a2Hl4I0Qr893w+RRUa2gZ6M6Kr3GTaHG0Dfczn7nMXXRUyD4SuuH4gJIQQQtjKpruFd+zYwe7du1m/fj0zZ84EYOzYsWRkZDB//nymT5+Ol5dXg21otVoeeughHnnkEZKSksjPz29+9MLtBAYGmhcVE6I+pg/udyRGo/L65fsYZ+bPSwdeoqSmhN/2+a1HV4yrbXK/GH44l8/2pGz+OK4bCoWiRY9/U9RNDI0ayrCYYS16XGuk7xH2kPwR9pD88Vw2DYS2bt1KYGAg9913n8XjDz30ELNmzeLgwYOMGNFwGdXly5dTWFjISy+9xKRJk2yPWLi1rl27ujoE4eaqNDq+TrkK1F1E1Vn5YzAY+OriVxRVFzEzfqZTjuEKtydEseCzZM7nlpGaU0rvmOAWPX6H4A68e/u7LXrM+kjfI+wh+SPsIfnjuWwaCCUnJ9OrVy9UKsvd+vbta97e0EDo1KlTvPjii2zZsoXAwECbg01JSaFTp04EB//yx766uprTp08DEBYWRseOHS32OXfuHBUVxopG/fr1s9iWn5/P5cvGdUw6duxIWFiYeZtOpyM5ORmAoKAgunTpYrFveno6JSUlAPTp08finFy7do2MjAwAYmJiiIiwrIh14sQJDAYDfn5+9OjRw2JbVlYWhYWFAPTs2RNfX1/ztrKyMtLS0gCIjIwkOjraYt9Tp06Zv5Ho3bu3xbacnBxyc3MB4y9s7fNfVVXFmTNnAAgPD6dDhw4W+549e5bKykoUCoX5vTbJy8sjO9v47X6nTp0IDQ01b9NqtaSkGKt0BQcHExcXZ7HvhQsXKC0tBSAhIcHiamJRURGZmZkAxMbG0rZtW4t9k5KMN2f7+/vTvXt3i22ZmZkUFRUBEB8fj4+Pj3lbSUkJ6enpALRr146oqCiLfVNSUtBqtfj4+BAfH2+xLTs7m7y8PAC6detGQECAeVtFRQXnzp0DjOsJtG/f3mLfM2fOUFVVhZeXV5374nJzc8nJMd4v07lzZ0JCQszbampqSE1NBSAkJITOnTtb7JuWlkZZWRkAiYmJFou5FRQUcOnSJcC42FvtdQ70er15LnNgYGCdTvzixYsUFxcD0KtXL7y9vc3biouLuXjxIgDR0dFERlreb5OcnIxOp8PX15eePXtabLt06RKfH8+irFpLdIgPAzv+8jtXXl7O+fPnAYiIiCAmxnKQdPr0aaqrq1GpVPTp08di25UrV7h61Ti4iouLq9NHfHPsG4qqi/BR+tCnjeW+nt5HjO0ZwVcpV/n8RDYdg5XSR/yP9BFGnthHFBQUANC9e3f8/f3N25zZR8jnCCPpI4ykjzDytD7C9HtqC5sGQgUFBXV+kcGY9Kbt9dHr9cyZM4dp06Zxxx132BimkVarxWAwWDxmMBjQaDTm7db2MW23FpNpm7VKH01t9/qYarer0+mstmswGKxeQtXpdHa1W99rrd3u9a+19jm01q7ptVqbdtPUdt3lvWnstWo0GrRardXVoRt6b5rSrkajsbqtoXZN+zbWrjVNPYf/n707j6+yuhM//rlb9h3IRsgGgQCBILKDLCIqiwuoKO4UlzpdtJ2xU+v8bKfTaW2n03amrVNqFVAE3AAFQQVZRFSQRSAhCRC27DvZl7v9/nhyQzZIbu7y3Jt8369XXpo8ec5z7r3fHO73nvN8T3fnt+9TZz091paWFiwWS7fLZM1mM/svKDf2LxwTiVZ7NaZ6+xx29xz19Npk1ij/kI4KGYVB1/HvztvHiDvThyqJ0IlCvjs9RpUxorKxknNXzjE6qOuSQxkjet+ujBHOeQ77MkZ4WhzK+4iu7XrKayNjRNd2PWmMsJfdOwpebw369Y794Q9/4OzZs3z44Yf2XrKNXq/vcg2NRtM2EHSeqbL97FprNrVabdux7gK2t+127lP7drt7EQ0GA1artdt2dTqdQ+22/++12u38WNs/h921a3us3b2+vW3XU16bnh6r7XH29Bz2pV2z2dztseu1azv3eu06+hz29Fg76+mx+vj4YDabuz2/yQxHi5oBWJTWsVhKb55Di8Vi99+NRqMhp1H5pDI9PL3Lud4+RtycGkmgj478qkZOFdUR7OYxIq82jye/fRKDxsCr41/tc7syRsgY0bndvjyHfR0jPC0O5X1E13Y95bWRMaJru540RthLY7UjfZo+fTpms5nDhw93+HlmZiZpaWmsXr2ap556qst5ly9fJjU1lZdffplHH3207edLliyhsrKSL7/8El9fX/z9/duOWSyWtulOm+Dg4G5fCOE5Ll682PaH2nn6VYj3j+bzz++eIHlIIJ/9eE6XQcsV8WO1Wpn7zlwqmypZe/taboy60SntepLnNh1n67eFPD4jkV/cObbnE5zIarUy7515VDRVqPr8ytgjHCHxIxwh8eMZ+pI72JVVjBs3jqysrC7TiLY1gtfaE+j8+fM0Njby7LPPEh4e3vZ18OBBsrKyCA8P54UXXrCnK8JDVVdXU1VV1bYuVIj2tp9U1oHfmR7b7Sc3roifC9UXqGyqxFfny7jB45zWrie5c4Jyr8RHp4owW+xfGuAIjUbDpGiljPY3xd+49drtydgjHCHxIxwh8eO97Foat3TpUl599VXef/997r///rafr1u3jtjYWKZOndrteRMmTGDv3r1dfv7cc89RXV3NmjVrutwUJoToX6objXxxTimXv2R8TA+/7Tw1LTWMjhhNqG8oPjqfnk/wQrNGDCHYT09ZbTNHL1UxJSnCrdefFDWJTy5+4hEbqwohhBC9ZVcitHDhQhYsWMAzzzxDTU0NI0aMYOPGjXz88cesX7++bZ3fqlWrWLduHbm5uW0VQObOndulvbCwMEwmU7fHhHcaPbp/7M8inG/36RKMZispkUGMiAzu9ndcET8TIifwzh3vYLJ0vSG2v/DRa1kwJorNxwrYcarI7YnQ5OjJAJwoPYHRbOxSkMIdZOwRjpD4EY6Q+PFedt9ws3nzZh555BFeeuklbr/9dg4dOsTGjRt56KGH2n7HbDZjNpv7VL1BeDcfH5+2LyHa23FKKe25aNy1Z4NcGT96rd21YbzK4tbndWdGERY3L49LDk0mwi+CJnMTmRWZbr22jYw9whESP8IREj/ey65iCe4kxRKE6D9qmoxM+o/dtJgtfPqj2YyM6n5GyNkajA1oNBr89f49/7KXazaZmfQfu6ltNvHud6czOdG9s0I/3vdjdl3axbMTn+WJcU+49dpCCCGEy4slCCFEX3yWVUKL2cKIyCC3JUEA289vZ8bGGfzm0G/cdk21+Op1LBijlCT/6GSR26+/fNRyfjXzV9yRfIfbry2EEEL0Rf9eKyLcrrq6GqvVikaj6bCzsRjYPjpZDFx/WRw4P36OlBzBZDER6jswYnHRuBg2Hy/g44xiXloypsOGta42LWaa267VHRl7hCMkfoQjJH68lyRCwqkuXryI0WjEYDCQnt5180ox8NQ2Gfn8bBkAi8ZFX/d3nRk/VquVI8VKFTPbzfz93ayUwQT56imuaeJ4XhU3Jrh3eZyaZOwRjpD4EY6Q+PFesjROCOFSn2WV0mKykDwkkFFuXBZ3qeYSZY1l+Gh9GD9kvNuuqyY/g45bRkcCV2fh3Oli9UXWZa7js0ufuf3aQgghhL1kRkg4VUxMTNvuykLA1Wpxi8fFdLuJanvOjJ9vSpTNPccNGYevztfh9rzFonExbP22kJ0ZRfzb4tFuXR53oOAAvz/ye2YNncX8hPluuy7I2CMcI/EjHCHx470kERJOFRkZqXYXhAepazax74xtWVzPm6g6M36+KVYSoYGyLM5m9sghBProKKpu4njeFW5MCHfbtSdFTQLgeOlxTBaTW0uWy9gjHCHxIxwh8eO9ZGmcEMJlPssqocVkIWlwIKnR7lsWZ7VaOVp8FIDJUQMrEfIz6Jg/Wqket/OUe6vHjQwfSbAhmHpjPTmVOW69thBCCGEvSYSEEC5zdRPV6B6XxTmTyWpiZdpKbom/ZcDcH9TeorbNVYvdurG1TqtjYtREQKnYJ4QQQngySYSEEC5R32xiX07vl8U5k0Fr4OExD/PHeX/ET+/n1mt7grmjlOVxBVca+TbviluvbVseZ1uaKIQQQngquUdIOFVGRgYtLS34+PiQlpamdneEivZkl9JsspA4KIAxMSG9Okfixzn8DDpuHh3FthOF7DhVxA3x7rtPyHZP1rGSY5gtZnRa99w8LLEjHCHxIxwh8eO9ZEZIOJXZbMZisWA2m9XuilDZ1WVxPVeLs3FG/FitVraf305+bb5bl4V5msWtezbtOOXe5XGjIkYRaAikydxEXm2e264rY49whMSPcITEj/eSGSHhVH5+fuh0OgwGg9pdESpqaDGxN6cUsG9ZnDPiJ682jxcOvIBBa+DLFV8OyKVxAHNGRuJvUJbHncyvJn1YmFuuq9fqWXf7OhJCEtz63MvYIxwh8SMcIfHjvSQREk41atQotbsgPMDe7DKajBbiIwIYG9u7ZXHgnPix3ZsybvC4AZsEAfj76Lh5dCQfnSxix6kityVCoMwKuZuMPcIREj/CERI/3kuWxgkhnK4vy+KcxbaR6kDbP6g7i1tn4z46VTSglwkKIYQQ3ZFESAjhVI0tZvZkK8viFru5WpzVah2wG6l2Z94oZXlcflUjpwqq3XrtPx//M/d8eA9ZFVluva4QQgjRW5IICSGcam9OKY1GM3Hh/qQN7f2yOGfIq82jtKEUg9YwIPcP6szfR8e81CGAMivkTtmV2ZypOsPh4sNuva4QQgjRW5IICafKz8/n0qVL5Ofnq90VoRLbsrjFfVgW52j8tL8/yF/v36c2+pu2zVXdXD1uSvQUALclQjL2CEdI/AhHSPx4L0mEhFNVVFRQVlZGRUWF2l0RKmgyXl0W15dNVB2NH9v9QZOiJ/Xp/P7o5tRI/AxaLlc2kFlY47br2pYmHi05islicvn1ZOwRjpD4EY6Q+PFekggJIZxmX04ZDS1mhob5Mz4u1O3X/+nkn/KneX9icfJit1/bUwX46Jk3KhK4OlvnDqPCRxHsE0y9sZ7TFafddl0hhBCit6R8tnCqlJQUrFar2yuFCc9wtVpcdJ9iwNH4CfMLY378/D6d258tHBfDzoxidpwq4vnbRrnl71On1TE5ajJ78vZwuPiwy+/ZkrFHOELiRzhC4sd7yYyQcKqAgAACAwMJCAhQuyvCzZqMZj7LKgH6tiwOJH5c5ebUSHz1Wi5WNJBVVOu2606JUe4Tst275UoSO8IREj/CERI/3ksSISGEU3x+poz6FjOxoX5McOPmnTb/OPUP/vrtX7lcc9nt1/Z0Qb565oxUqse5c3nc5OjJRAVEERcU57ZrCiGEEL0lS+OEEE6xM6MYUJZhuXt5gNVq5e2ctymuL2Zi5ETiQ+Lden1vsHh8DJ+eLmHHqSL++daRbnmNUsJS2HXvLlkuIoQQwiNJIiScqr6+vm2dbGBgoNrdEW7SbDKz+7RtWVx0n9vpa/zk1+VTXF+MXqsnfUh6n6/fn92cGomPTsv58npySmpJjXb9Hk/uTIBk7BGOkPgRjpD48V6SCAmnOnfuHEajEYPBQHq6vCEdKL44W05ts4noED9uGBbe53b6Gj9Hio8Ayv5BAQZZo92dYD8Ds0cOZndWKTtOFbslEbKxWC3k1+a7dKbOobHHYgaNFmTmasCSf7uEIyR+vJckQkIIh33Uet/J7WnRaLXufzN5pERJhCZFyf5B17NoXExrIlTEjxeMdMs1yxrKWPrhUhqNjXz54Jf46nzdcl0ArFa4chkKj0NJBtSXQeMVaKxSvpquKN8314BGB/5h4B8Ofq3/tX0fMhRiJ0DMBOVnQggh+gVJhIRTDRkyBLPZjE6nU7srwk1aTBZ2nXasWpxNX+LHarW2VSWzbeIpujd/dBQGnYZzpXWcLaklJSrY5dcc7D8Yg9ZAtaWaE6Un2irJOduQIUOgphC/ypOwZ5uS/BQeh4ZebnBoNSu/29PvRwyH2BuufsWkg2+Q4w9AqEr+7RKOkPjxXpIICaeKjY1VuwvCzQ7mllPbZCIy2JdJCX1fFgd9i5/82nyK6ovk/qBeCPU3cFPKEPZkK8vjnnVDIqTRaJgSPYUdF3ZwuPiw8xOh8nNweguxmR9Ayamux7V6iBqrJCwhcVdnedrP/PiFgsXUaaaoqnX2qBIqcpWk6solqMxVvjLea23fAMNvhrF3w6hFMmPkpeTfLuEIiR/vJYmQEMIhO06quyzucu1lgg3BjIwYKfcH9cLCtOjWRKiIZ29Jccs1bYmQ0/YTqsiFzC2QubVj8qPRQuQYZRmbbcYmciwY/HrXbkgPM5oNlVdnmmxfNQVw9hPlqy0pWgqjFkpSJIQQHk4SISFEnxnNFj510rK4vpo5dCYHHjhAVXOVKtf3NreOieYF7SlySmo5V1rHiEjXL+uaEq3MAp0sP0mjqRF/vb/9jbTUw/H1cPxNKG6f/Oggea4yI5O6BAIinNLnbgVEwIj5ypdNaTac3qokZmXZV5MinQ8Mnw9TnlSSIynEIIQQHkcSISFEn32ZW0F1o5HBQb5MTnThG9Ae6LQ6BvsPVu363iQ0wMDMEYPZf6aMnaeK+MF8188KxQXHER0YTXF9McdLjzMjdkbvT64rg8N/h29eVZarQWvyM0eZeXF18tOTyFSI/CnM/SmUZimzVJlboDwHzuxUvqLGwYwfQNoy0BnU66sQQogOJBESTpWdnd1WQjI1NVXt7ggX29lWLS4KnROWxdkbPyaLCZ1GJxt22mnxuBj2nyljR0axWxIh231CH+Z+yOGiw71LhCpy4cs/w4mNYGpSfhaeBNO/B2OXQeCgDr/uEWNP5Gjla94LSlJ0dB0ce0NZvrflKfjslzD9n2Dio+Dr+vuzRO95RPwIryXx470kERJO1dzcjNFoxGKxqN0V4WJGs4VPMosBWJTmnGVx9sbPm6ffZFP2Jh4b+xgPjn7QKX0YCBaMiUK3RUNWUQ0XyutJGuz6DQAXJi0kKiCKm+Nvvv4vFh6HA/8NWdsBq/Kz2Ikw81kYfQdou6/K5HFjT+RoWPgyzPkJHHkNDq2Gmnz45Gew/7cwaRVM/36XhE6ow+PiR3gViR/vpbX3hLq6Op577jliY2Px8/NjwoQJbNq0qcfzdu/ezYIFC4iNjcXX15fIyEhuvvlmduzY0aeOC8+k1+vbvkT/duh8JVUNRgYF+jAlyTlLk+yNn0NFhyisL8RsNTvl+gNFeKAPM4Yrb8B3tM7qudqsobP44cQfkjY4rftfqCmCLd+Fv8+FrG2AFVJug8c/gif3KPcAXSMJAg8eewIiYPbz8FwGLPkTDBoBTdXwxR/gzzfAV6+A2ah2Lwc8j40f4RUkfryX3a/YsmXL+Oabb3j55ZcZOXIkGzZsYMWKFVgsFh588NqfyFZUVDB27FieeOIJoqOjqays5G9/+xuLFy/mzTff5OGHH3bogQjPMHbsWLW7INzEtonqrWOj0evs/kylW/bET4u5haMlRwGYGjPVKdcfSBaNi+HA2XJ2nCrie/NGqNcRYyN89Rc48Ecw1is/G7ccbvqxMqvSSx4/9hj8YNJKmPgY5OyAfS8rS+Y+eQGOvA63/RpG3qp2Lwcsj48f4dEkfryXxmq1Wnv7yzt27GDx4sVtyY/NrbfeSmZmJpcvX7ZrMymj0UhSUhLJycl8/vnnHY5ZLBZqa2s7/Cw4OBit1jlvuIQQfWcyW5j668+oqG9h/aqpzEpxf6GCb4q/4TuffIcIvwj2Ld8n9wnZqbK+hcn/uRuzxcr+5+eSMMj1y+PqWuo4UnIEgLlxc5Rqa5++BNWXlV+ImwK3vwxxN7q8L6qzmJUqeHv+A+rLlJ+NuEVJiIaMUrdvQgjhhfqSO9iVVWzZsoWgoCDuu+++Dj9fuXIlhYWFHDp0yJ7mMBgMhIWFyVSiEF7m8IVKKupbCA8wMC1ZnYpdh4qU8WZqzFRJgvogItCn7bXbcarYLdfcl7+PH+z5Af935A+wdjG8+7iSBIUMhWX/gFWfDowkCJRlfjc+Bj84CjN+qOxBdG43vDIddv7r1Qp5QgghXMauDCQjI4PRo0d3SVzGjx/fdnzGjOtXA7JYLFgsFkpLS1m9ejVnzpzht7/9ba+un5mZSUJCAiEhIW0/a25uJjs7G4Dw8HDi4+M7nHP27FkaGhoASE/vuOt8eXk5BQUFAMTHxxMeHt52zGw2k5GRASjZZHJycodzL1y4QE1NDaBMibZ/Tq5cucKlS5cAZbfhIUOGdDj35MmTWK1W/P39GTlyZIdjeXl5VFZWAjBq1Cj8/K5uBFhXV0dubi4AkZGRxMR0vEH99OnTbVVLxowZ0+FYUVERpaWlAAwfPpygoKt7hzQ1NZGTkwNAREQEw4YN63DumTNnaGxsRKPRtL3WNmVlZRQWFgKQkJBAWNjVDQRNJhOZmZkAhISEkJSU1OHc8+fPt2XuaWlpHWYTq6qquHxZ+ZR46NChDB7cccbhxIkTAAQEBJCS0rHq1eXLl6mqUt5EpKam4uvr23aspqaGCxcuABAVFUV0dHSHczMzMzGZTPj6+nap/FJYWEhZmfLJ7YgRIwgMvPoJekNDA2fPngVg0KBBxMXFdTg3JyeHpqYmdDodaWkd75EoLS2lqEhZZpaYmEhoaGjbsZaWFrKysgAIDQ0lMTGxw7m5ubnU1dUBMG7cuA6felRUVJCfnw9AXFwcgwZdvSnbYrFw6pSyF0tQUBDDhw/v0O7Fixeprq4GYPTo0fj4+LQdq66u5s19yt/G7OTQLsviMjIyMJvN+Pn5MWpUx0+28/PzqaioACAlJYWAgKsboNbX13Pu3DkAhgwZ0mWn7uzsbJqbm9Hr9YwdO5avi74GYFrMNIqLiykpUfYzSkpKkjGC3o0Ri8bFcPBcBTszirh7VIDLx4jUQcoYkF19nuq8fEL0/pSMeIDSlBUEB0eS1CmhHRBjhF8o3PofnI+Yw6CjfyS06As49DelBPcd/wujbvfKMeLixYsAxMTEEBkZ2eFcd40R7ckYoZD3EVd5zRjRqr+9j3DFGGH7O7WHXYlQRUVFlz9kUILedrwnixYt4pNPPgGUoH777bdZvHhxr65vMpnovJLParViNBrbjnd3ju14ZxaLpe1Yd5U+ettu5z61b9ds7noTt9FoxGq1YjB03U/CbDY71O61Hmv7djs/1vbPYXft2h5rd5+6d263uLgYs9mMTqdj0KBBHvfa9PRYjUYjJpOp22nU6702vWnXaDR2e+x67drO7and7vT2Oezu/PZ96sxktvBVXiMAc0eEdTne0tKCxWLpdplsb5/DmpqaLm9ybI/VarVS11JHRrnyBmNazDTM1b1r11Pi0FPGiNvGRvP/tmZwMr+avKoGtC4cI/xrckk88AcSfY1c9DFwNGUuN936J/IvlIPV8dem/dgTHR3tdWNEg180lTf+O6EVx0k5+3coPwMb74cJD2OZ8KxXjRE9PVZnjBHXe6zdPUe9bdf2hrC9gTxGXKtdV76PuFa7njJ+d/dY248/8j6ia586c+UYYS+716RdbwlKb5an/PnPf+bKlSsUFRWxfv167r//ftatW9fhnqNr0ev1Xa6h0WjaBoLultjp9fpuBwoArVbbdqy7gO1tu5371L7d7l5Eg8GA1Wrttl2dTudQu+3/e612Oz/W9s9hd+3aHmt3r2/ndktKSto+TRo8eLDHvTY9PVbb4+zpOexLu7ZB0p52beder11Hn8OeHmtnR/NquNJsIdhHy9SE0C7HfXx8MJvNfXoObbr7VMdgMGCxWNDr9TSZm1g+ajl5tXnEBsVSXFfcq9fGU+LQU8aIwUG+TEsexJe5FezLreG2eBeMERorQ89vJCprLVqriSlRMVz0gW+G9V8vmAAAIABJREFUT2d2aBwGQ3VbG9dqtzudX5uioqK2sSc6Otprx4jmodPh5kdg76/gy7/At+sZcu4z6tOfpy5ykleMET09VkfGiJ4eq22MsLddm6ampi7nDuQx4lrtuvJ9xLXa9ZTxu7vH2v69j7yP6Nqnzlw5RtjLrmIJ06dPx2w2c/jw4Q4/z8zMJC0tjdWrV/PUU0/Z1YGFCxdy6NAhysvLOzzJUizBO504caJtMOi8hED0Dy9sPsnGw3msmDKM3ywb3/MJdpD4cb8Nhy7zsy2nGBMTwo5nb3Ju42U5SknswmPK96lL+HjC3Tx/6JekhKew+c7NTrtUv4ydS1/B1megSlmGw+QnYMEvwcf1hS0Gmn4ZP8JtJH48g8uLJYwbN46srKwu04i2NYKd1yz2xpQpU6iqqmpbMym8W1JSEikpKV3W8Yr+wWi2sDNDubH+jvGxPfy2/SR+3O/2tGj0Wg2ni2rILeu6LKhPLBZlNuNvNylJkF8oLHsV7l/PlMT5AJytOkt5Y7lzrkc/jZ2E6fDMQZj8pPL9N/+A/5sJl79Wt1/9UL+MH+E2Ej/ey65EaOnSpdTV1fH+++93+Pm6deuIjY1l6lT79vKwWq3s37+fsLCwDjdgCe8VEhJCaGhohxtRRf/xxblyrjQYGRzky9Rk5//N9iZ+qpurOVJ8BKNsQukUEYE+zByh3ES8/YQTNldtqFTubfn0RTA3KyWh/+lrGL8cNBoi/CIYHaHsD2TbB8oZ+u3Y4xMIi38Pj2yFkDhldmjNIvjiT9CH9fCie/02foRbSPx4L7vuEVq4cCELFizgmWeeoaamhhEjRrBx40Y+/vhj1q9f37bOb9WqVaxbt47c3FwSEhIAuOuuu0hPT2fChAkMGjSIwsJC1q5dy/79+/nrX/8qJbSF8AK2N8qLx0Wj06pTsvqLgi/46YGfkj4knfWL1qvSh/7mjvRY9p8pY9vJQn44f0Tfy5EXHIN3HlNKYuv94PbfwI0roVN7P5v6M8L9wokPjr9GQ6KL4fPgn76EHc/Dybdh988h7zDc/Qr4dy1aIoQQomd2Zx+bN2/mxRdf5KWXXqKyspLU1FQ2btzIAw880PY7ZrMZs9ncoXrDzJkzee+99/jLX/5CTU0NYWFhTJo0ie3bt/e6apwQQj1NRjOfZirL4pakO39ZXG/Z9g+aGDlRtT70N7eOjcJns5ZzpXXklNSSGm3np5pWKxxdo+x/Y26B8ERY/ibEdH8P2YTICY53eiDyC4WlqyF+mvJc53wEf58L978J0ePU7p0QQngdu4oluJMUS/BOzc3NWK1WNBpNh7r7wvt9mlnMU28eJSbUj4P/ejNaF8wI9RQ/VquV296/jaL6Iv52y9+YOXSm0/swUD35xhF2nS7h+/NG8C+3jer5BJuWBvjox3Bio/L9qEVw9/+5fZZiwI09nWffFv8BbnhI7V55rQEXP8KpJH48g8uLJQjRk+zsbDIyMto2pxP9x7aTtmVxMS5JgqDn+MmrzaOovgi9Vs8NkTe4pA8D1ZLxysaK204W9n4vhopc+MctShKk0cItv4D73+pVEnSw4CA/2vsjNmVv6nun2xlwY8/QifD0fhixAExN8ME/wYc/AGPX8s+iZwMufoRTSfx4L0mEhBA9amgxsfu0siu7msvivi5SqmVNGDKBAENAD78t7HHL6Cj8DFouVTSQUVDT8wk5HyvLskozITASHv0QZv0Iejlrf7HmIrsv72b3pd2OdXwgC4iAB9+BeS8CGjj2Brx+K1Tnq90zIYTwCpIICacKDw8nIiKC8PBwtbsinGhPdimNRjPDIvxJj+u6iaqz9BQ/tkRoaox9FSpFzwJ99cxPjQJg+8nCa/+i1QpfvQIbH4DmGoifAd89AEn27UE0I3YGAMdKj9Fg7LqBrr0G7Nij1cKcn8Ajm8E/AopOwKvzofC42j3zKgM2foRTSPx4LynVJpwqPl6qQPVHtmpxS8bH9r2iWC9cL34sVguHi5XNnKfFTHNZHwayJeNj+OhUEdtPFvHThaldX2uzEXb+BI68rnx/4+Ow6Peg63738OtJDEkkJjCGovoijpYc5aY4xzZzHfBjz/Cb4al9sOF+KMuC1xfCsr/DmDvV7plXGPDxIxwi8eO9ZEZICHFdtU1G9uSUAq7ZRNUeq29ZzY9u/BFjB49VtR/91bzUSAJ9dBRcaeTY5SsdDzZVw4blrUmQBm79T1jypz4lQQAajaZtVujLwi8d7LkAIDwBVn2q7N1kaoR3HpH9hoQQ4jokERJCXNfurBJaTBaShwQyOiZYtX5oNVrGDh7Ld9K+g0Hbtzff4vr8DDoWjFGWx2070W55XNVFeO1WyN0DhkB4YAPM+H6X/YHsJYmQC/iFwIq3YcpTyve7fw4ffh9MLer2SwghPJAkQkKI69rWuizuDhcvixOe4Y7WYhg7ThVhtljh8iHlnpOybAiOhe/shNRFTrnW1JipaDVazlefp7i+2CltCkCnh0X/BQt/p1TzO74e1i+Dxiq1eyaEEB5F7hESTnX27FlMJhN6vZ6UlBS1uyMcdKWhhQNnywC4Iz3G5de7Vvy0mFv49aFfMyl6Ercn3o5eK0OXq9yUMoQQPz2ltc3k7n2DkV8+D+ZmiEmHFZsgxHnLI0N9Q5kwZAIWq4WqpiqiA6P73JaMPd2Y+jSEJ8F7K+HiAaXU+UPvQUSS2j3zOBI/whESP95L3k0Ip2poaMBoNGIwyNKl/uCTzGKMZiup0cGMiHT9srhrxc/x0uO8f/Z99uXtY3HSYpf3YyDz0Wu5PS0a/+OvMeLAG4AVUpcoN977BDr9eq/d9ppTElsZe65h5K3wnU+UIgoV5+D12+Dh9yF6nNo98ygSP8IREj/eS5bGCSGuaXvrJqp3qLh3EMCB/AMAzBo6S5bnuZrVyvesb/PvhnVosWKZ/CQsf8MlSRAgs3vuEJ0GT34GUWlQVwJrFsHFL9TulRBCqE7+BRJOlZ6ernYXhJOU1zVz8Fw5oJRVdodrxc+BAiURcrTEsuiBxQwf/ZiEzLUA/N54H1NG/ITZWp3LL13dXI3VaiXML6xP58vY04PgaHj8I9j0IFw6CG8ug3tfh9FL1O6ZR5D4EY6Q+PFeMiMkhOjWzoxiLFYYHxdKwiDXzAb0Rn5tPuerz6PT6JgeO121fvR7xiZ49zE4uhY0WrbGPc9fzEvZ1jor6Er/c+x/mP32bN7Oedvl1xrQ/MOUZXGpS5T7vt55BI69oXavhBBCNZIICSG6ZSufrPbeQbbZoBsibyDEJ0TVvvRbTdXw1r2QtQ10PnDfOqJvfgZQ7hNrMVlcevmYwBgsVouU0XYHgz/ctw5ueASsFvjwB3Dgv2WvISHEgCSJkBCii+LqJr65WAnAYjcti7sW2/1BsizORepKYe1ipaqYT7AyYzDmTiYnRhAZ7EtNk4n9Z8pc2gXbfkInyk5Q11Ln0msJlPLad/4ZZv1Y+f6zX8InPwOLaxNeIYTwNJIICacqLy+ntLSU8vJytbsiHLD12wKsVpicGE5smL/brts5fqxWK9XN1QDcNFQSIae7kqdUESs+BYFDYOVHkDQbAJ1W01YkY+vxApd2Iy44joSQBMxWM4eKD/WpDRl77KTRwC0/h9t+o3z/9SvwwT+B2aRuv1Qi8SMcIfHjvaRYgnCqgoKCthKSgwcPVrs7og+sViubj+UDsGxinFuv3Tl+NBoNby1+i+L6YqICotzal36v8jysuxOq8yAsHh7ZCoOGd/iVpTcM5bUvLrArq4TqRiOh/q4rDTsjdgaXai7xVeFXzI+fb/f5Mvb00fR/gsDBsOW7cGIjGBvhnn+AbmCVAZb4EY6Q+PFeMiMkhOggs7CGMyV1+Oi1LBqn7rI4m+jAaCmb7UxlOfD6QiUJGjQCVn7cJQkCGBsbwqioYFpMFnaccm3RBNvyuIMFB116HdGN8cuVEuk6Hzi9Fd5+RCmeIYQQ/ZzMCAmnio+Px2KxoNVKju2tNh9TlkEtGBPl0hmA7rSPH6vVSpO5CX+9+5bmDQjFp+CNu6GhHCLHwqNbISiy21/VaDQsmziU3+zMZvOxfFZMiXdZt6ZET0Gv1ZNfl09eTR7DQobZdb6MPQ4avQQe2AhvPwRndsLGB+CBDeAToHbP3ELiRzhC4sd7ySsmnCo8PJxBgwYRHh6udldEH5jMFj48oSRCy24Y6vbrt4+fC9UXmLVxFs/ueRarVLRyjvyjsHaJkgTFpMPj26+ZBNncNWEoGg18c7GKyxUNLutagCGAVWmreGn6S4T42l8dUMYeJ0i5BR56FwyBcH6vUkmwuVbtXrmFxI9whMSP95JESAjR5sDZcsrrWhgU6MPskUNU7cvn+Z/TYmmh2dwsy+Kc4dJX8MZd0HQF4qbAox9CQESPp0WH+jFrhLLmfYuLiyZ8/4bvc9/I+wj1DXXpdcR1JM2GR7aAb4iy8eobd0Njldq9EkIIl5BESAjR5v3WIgl3pMdi0Kk7PNj2D5Ky2U6QuxfWL4OWWki8SXmj6x/W69OXTVRmBzcfz5fZuYEgfio89iH4h0PBEVh3B9RLNSwhRP8jiZBwKrPZ3PYlvEtNk5FPT5cAcI+bq8XZ2GKnurGaYyXHACmb7bBzu2HD/WBsgBGtS598g+xq4rax0QT46LhU0cCxy66dHSioK2D96fVkVmTadZ6MPU4WewM8/hEERir3la1dAnWu3U9KTRI/whESP95LiiUIp8rIyGgrIZmenq52d4Qddp4qosVkISUyiLSh9t+j4Qy2+Pm2/ltMVhOJIYnEh7juBv1+7+wu2PQQmJth1GK4bw3ofe1uJsBHz+1p0Ww+VsDmYwXcmNDzkrq+Wn1iNVvObeHB1AcZO2hsr8+TsccFosbCyh3KjFBZFqxbAo9t6/G+Mm8k8SMcIfHjvWRGSAgBwPut1eKWThyq+j0539Z8C8CsobNU7YdXO/MpbHpQSYJSl8B9a/uUBNnYZgm3nSik2eS6Tz3nDZsHwN68vbIMzxMMTlFmhoJjoSxbmRmqLVG7V0II4RSSCAmnCg4OJiQkhODgYLW7IuyQV9nA4QuVaDRw9wT3V4uzCQ4OJjg4mJO1JwGYHTdbtb54tZyPlTLI5hYYfWdrEuTjUJPTkgcRE+pHTZOJPVmlzulnd9eJnYafzo+i+iJyqnJ6fZ6MPS40aLhSYTBkKJTnKDNDtcVq98qpJH6EIyR+vJcsjRNOlZycrHYXRB9sba0GNmP4IGLD1Nu3Jzk5mRZzC0+YnuDroq+5MepG1fritXJ2KhtiWoww5i645zXQOb4flE6r4a4JQ/nb/lw2Hy9goYs22/XX+zMjdgZ78vaw9/JeUiNSe3WejD0uZkuG1t4B5WeUmaHHt0NwtNo9cwqJH+EIiR/vJTNCQgxwVquVza2J0NIb1CmS0J6PzodHxz7KK7e8go/OsVmMASd7R7sk6G6nJUE2tupxe7NLqaxvcVq7nc2LV5bH7cnb47JriD6ISFaSn9BhUHEW1i6GmiK1eyWEEH0miZAQA9zxvCtcKK/H36Dj9rT+8enugJS1Hd55VEmCxi5zehIEMDIqmHFDQzFZrGw7UejUttubEzcHrUZLdmU2hXWuu47og4ik1mQoHirOtSZD8hoJIbyTJEJCDHBbWosk3J4WTZCvuqtlq5ur2XJ2C2UN/bdMr0tkfwTvPqYkQWn3wLJXQeea13LpDbY9hVy3uWq4XzgThkzAoDWQVZnlsuuIPgpPvJoMVeZKMiSE8Fpyj5BwqgsXLmAymdDr9SQlJandHdGDZpOZbSeVNzC2N7hq2nx8M3/I+QNJgUl8eO+HanfHO2TvgHceA4sJ0u6FpatdlgQB3Dkhlv/ckcWJvCucK61jRKR9exL11i9n/pLB/oMJNAT26vdl7HGz8ARY+ZGSBFWeV0psP7YdQlxz75irSfwIR0j8eC+ZERJOVVNTQ3V1NTU1NWp3RfTC3uwyrjQYiQz2ZeaIwWp3h69LvwYgLTBN5Z54iZyPry6HS7vH5UkQwOAgX+aOHALAluP5LrtOQkhCr5MgkLFHFWHxSmlt2zK5dXd4bTU5iR/hCIkf7yWJkBADmO2N7NIbhqLTqrt3kNli5mSNUjZ7QsgEVfviFc58Cu+0K4yw9O8uT4JslrXuKbT1eCEWi+v3+jFajC6/huijsHh4fNvVAgrr7oA615VXF0IIZ7I7Eaqrq+O5554jNjYWPz8/JkyYwKZNm3o8b/PmzaxYsYIRI0bg7+9PYmIiDz30EGfPnu1Tx4VnGjt2LOnp6Ywd2/sd4YU6qupb2JOtvGFZOlH9ZXGnyk9RZ64jxCeEOyffqXZ3PNvZ3R33CbrnH25LggDmj44k2E9PwZVGDl2odNl1DhcdZvm25fz085/2+Lsy9qgoPBEe29a6z9CZ1mTIu+7zk/gRjpD48V52J0LLli1j3bp1/PznP2fnzp1MnjyZFStWsGHDhuue99vf/paGhgZefPFFPv74Y371q19x/PhxJk6cSGZmZp8fgPAser0eg8GAXi+3n3m6rd8WYDRbGR0TQmp0iNrd4bPLnwEwM3Ymfj5+KvfGg537DDY9qCRBqUvg3tedXh2uJ34GHUvGK/eCvHskz2XX8df7k1WZxRcFX9Bivn65bhl7VBaRpCRDwbFQlq0kQ/Xlaveq1yR+hCMkfryXXYnQjh072LVrF6+88gpPP/008+bN49VXX2XBggU8//zzmM3ma567bds2PvjgA1auXMmcOXN4+OGH2b17N83Nzfzxj390+IEIIXrParWy4dBlAFZMGaZyb5T+fHrxUwBuTbxV5d54sNy9rUlQM4xaDPeucXsSZHP/5HgAtp8q4kqDa/YUGjt4LJH+kTSYGjhUdMgl1xBOZNt0NTgGyrJg3Z1QX6F2r4QQ4prsSoS2bNlCUFAQ9913X4efr1y5ksLCQg4duvY/VJGRkV1+FhsbS1xcHHl5rvtEUQjR1ZFLVZwtrcPfoONuD6gWd6HmAiUNJfjr/Zk1dJba3fFM5/fDxgfA1AQjF8J9a0Gv3oaz6XGhjIkJocVk4f1jrimlrdVomTtsLgB78/a65BrCyQYNV2aGgqKgNBPeuBMaXLd8UgghHGHXHF5GRgajR4/uMvU3fvz4tuMzZszodXvnz5/n0qVL3H333b36/czMTBISEggJubqMp7m5mezsbADCw8OJj4/vcM7Zs2dpaGgAID09vcOx8vJyCgqUf8Dj4+MJDw9vO2Y2m8nIyAAgODiY5OTkDudeuHChrTrI2LFjOzwnV65c4dKlS4CS7A0ZMqTDuSdPnsRqteLv78/IkSM7HMvLy6OyUvlHY9SoUfj5XV0iVFdXR25uLqAkljExHcuUnj59GqPRiMFgYMyYMR2OFRUVUVqq3A8yfPhwgoKulrxtamoiJycHgIiICIYN6zhDcObMGRobG9FoNG2vtU1ZWRmFhUr55YSEBAAsFgtarZagoKC2ZY8hISFdSkqeP3+e2tpaANLS0tDpdG3HqqqquHxZmbEYOnQogwd3rGh24sQJAAICAkhJSelw7PLly1RVVQGQmpqKr69v27GamhouXLgAQFRUFNHRHTcQzczMxGQy4evrS2pqaodjhYWFlJUp695HjBhBYODVilYNDQ1t97sNGjSIuLi4Dufm5OTQ1NSETqcjLa1jRbTS0lKKipTd2RMTEwkNDW071tLSQlaWso9KaGgoiYmJHc7Nzc2lrq4OgHHjxqHVXv1so6Kigvx8pRhCXFwcgwYNaju2/mslPmcO86Ws4DIhw4d3aPfixYtUV1cDMHr0aHx8rr7hrq6u5uLFiwDExMR0+ZAjIyMDs9mMn58fo0aN6nAsPz+figrlE+KUlBQCAgIASA5N5qMlH7E3Yy9Zp7IIDQ3t8jeXnZ1Nc3Mzer2+yzrs4uJiSkpKAEhKSup/Y8TFL2DD/WBqonHYbM6m/jPWzCxVxwiNRsND0+J5cUsGaw6c5cagarRabY9jRFhYWNsxk8nU4xiRYFLGlX15+/i3af+GVqPEeOcxQq/Xt409YWFhMka06usYYbFYOHXqFABBQUEMt2eMMERSNO33DD/wLIaSDCUZevRDCIgA+jZGANTX13Pu3DkAhgwZQmxsbIdzHRkjTp8+3fZYO8eLV4wR7Xj7+wh7xwhPeB9x5cqVtvGnoKBAxgjc/z4CaPs7tYddiVBFRUWXP2RQgt52vLdMJhOrVq0iKCiIH/3oR70+x2rtWKHIarViNBrbjnd3ju14ZxaLpe2YxWLpcry37XbuU/t2u1suaDQasVqtGAxdl7SYzWaH2r3WY23fbufH2v457K5d22PVaLpWFevcbl5eXodB1NNem54eq9FoxGQydRgIunusfWnXaDR2e+x67drO7and7lzrOayqb2FnhlLi9pZEv27Pb9+nznp6rC0tLVgslg7/IHXXbufHGuoTSmpAKmazmStXrlzzsXb3HPX2tfGUOLRrjLj0Jby1HEyNMOIWSqf9mpYrtWDp+ly4e4y4a8JQfv1RFvnVRk4UNZAW6UtnvW33Ws9him8Kflo/yhrLyCzPZNyQcV0eq8Vi4dKlS21jT1hYmIwRndrtTm/juy9jRJ1fLDnT/ovRh3+CrvgUvLkUHv0A/MP6PEb09jnsyxhha6+78sceP0Z04u3vI67VrqeM39091vbjj9VqlTECdd5HdPfYe2L3XV3dBXFvjrVntVpZtWoVBw4c4P333+/yycG16PX6LtfQaDRtA0F3N6nZbmDrjlarbTvWXcD2tt3OfWrfbncvou0Ppbt2dTqdQ+22/++12u38WNs/h921a3us3b2+vW3XU16bnh6r7XH29Bz2pV2z2dztseu1azv3eu3a+xy+fyyfFpOF4eEGUiP9e3ysnfX0WH18fDCbzb1+Dq1WKxqNpsfxw2AwYLFY7P678cQ47O0YEVSVCVufA2M9JM+D+99CW1yGwdDU53bb/7e9vowRQb567pwwlI2HL7P7QhM3DO26uaqjY0SAbwDpIekcunKIPXl72hIhGSM6nnu9dh2N776OEeaIFK7c+QaDtj0KRd/C+mXwyBa7x4jO7V7vsfZ1jOju/208eYyQ9xHyPqKndm3nXq9dtcaIa/XJkTHCXhqrHenT9OnTMZvNHD58uMPPMzMzSUtLY/Xq1Tz11FPXbcNqtfLEE0+wdu1a1q1bx8MPP9zt71kslrbpTpvg4OBuXwjhOcrKytr+UDtP5Qv1Wa1W5v/3fs6X1/PrpeN4cGp8zye52B+O/oETpSd4cvyTjPIZJfFjk/eN8il6Sy0kzYEH3waDv9q96iKjoJolf/4Cg07DVy/MZ3BQ11khR3126TM+ufgJd424i5lDZ3b7OzL2eLDiDKWKXGMlxE2GhzeDn/qVKtuT+BGOkPjxDH3JHeyaERo3bhwbN27EZDJ1yKBtawQ7r1nszJYErVmzhtdee+2aSZDwXjIAeLavzldwvry+9ZP82J5PcDGr1conFz6hsL6QJlMTQ4ZK/ABQcFT59LylFhJvghWbPDIJAkgbGkp6XCgn8qt572g+350zvOeT7DQ/YT7zE+Zf93dk7PFg0WnKsrh1d0D+N/DWvfDw++AbrHbP2kj8CEdI/Hgvu6ZXli5dSl1dHe+//36Hn69bt47Y2FimTp16zXOtVitPPvkka9asYfXq1axcubJvPRZC9NlbrSWz75oQS5Cv+vsdZJRnUFhfKNXi2is8rswENddA/AxlJsgnoOfzVPTQVKWgwcbDl7FY7F+jLQaAmPFKMuQXCnmHlPveWurV7pUQYoCzKxFauHAhCxYs4JlnnuHVV19l7969PPXUU3z88cf87ne/a1vnt2rVKvR6fVvFE4Af/vCHvPbaa6xcuZJx48bx9ddft30dP37cuY9KCNFFWW0zn2YqRRJsb1zV9uklZe+gOXFz8NPLJqoUnYQ37oamahg2DR56F3wCez5PZUvSYwj21XOpooGDua7ZRNNqtXK26ixbz211SfvCDWInwCNbwDcULn+pVEKUZEgIoSK7PxLevHkzL774Ii+99BKVlZWkpqayceNGHnjggbbfMZvNmM3mDtUbtm3bBsDrr7/O66+/3qHNhISEtjJ6QgjXePdoHkazlQnDwhgTq/76/PabqN6WeJvKvfEARSeVMsNNVyBuCjz8Hvh2LT7giQJ89CybOJR1X11iw6HL3JTi/GUiJQ0lLPtwGVqNlpuG3sQg/0E9nyQ8z9Ab4ZHNSsJ/8YCSDD34jsfPegoh+ie7iiW4kxRL8E4nT55sKyHZea8AoR6Lxcrc3+/jcmUD/3XveO6b1LtKja50quwUD+54EH+9P5/f/zl+er+BGz/Fp1pvJq+CoZOUN4p+oT2f50Fyimu57U+fo9Nq+OqnNxMZ4vwZvuXblpNVmcX/m/b/WD5qeYdjAzZ2vFXeYXiz9T64pNmwQt0loBI/whESP56hL7mDZBXCqaxWa9uX8BxfnCvncmUDwX56loxXv0gCdL8sbkDGT/EpWHdnaxJ0o1cmQQCjooO5MSEcs8XKO0fyXHKNRUmLANh+fnuXYwMydrzZsClKwQSfILjwOWx8AFrs3wzRWSR+hCMkfryXJELCqfz9/QkICMDf3zMrXA1Ubx1S7te7Z2Ic/j5da/ar4YbIG5gTN6ftzS0MwPgpzmhNgiohdmJrWWHvS4JsHmotx77xcB5mFxRNWJS8CA0ajpceJ6+2Y7I14GKnP4if2i4Z2g+bVoCxUZWuSPwIR0j8eC9ZGidEP1dS08SMl/dgtljZ9aPZpER5TsnaAa0kU1kO11ChJEGPbAH/MLV75ZAmo5mpv/6M6kYjax6fzLzUSKdf48lPn+Troq/53oTv8d307zq9faGCS1/B+ntaNw6e69Hl4oUQnkuWxgkhunj7G+XT+SmJEZIEeYoOSdAN/SIJAvAz6Lj3xjjgaql2Z7tj+B2AsjzOQz/HE/ZKmK7MDBkC4fw+2Kh5mUCXAAAgAElEQVTezJAQYmCRREiIfsxssbLpsPKG9MHWZUtqs1qtbMjaQH5tvtpdUUfJ6atJUMyEfpME2ayYosTZnuwSCq84/83sLfG34K/3p6qpiqL6Iqe3L1SSMF2plGgIhPN7YdODkgwJIVxOEiEh+rH9Z0oprG4iPMDA7WnRancHUDZR/c3h33DPh/fQYm5RuzvuVZwB65a0JkHp8OhW8A9Xu1dONSIyiGnJEVissOkb5xdNCDAEsOa2NexdvpfYIM8o/CGcJGGGsneWIQBy98jMkBDC5SQREk6Vl5fHxYsXyctzTdUoYZ/XvrgAwL03xuFn8IwiCZ9c/ARQqsX56Hw6HOvX8VN0st1MUDo80v+SIBvbhr0bDl2iyWh2evtjB48dWLEzkCTObE2GWmeGNix3SzU5iR/hCIkf7yWJkHCqyspKysvLqaysVLsrA15GQTUHz1Wg02p4fGaS2t0BlGVxuy7tAuDWxFu7HO+38VN4vHWfoNbqcI9+AAERavfKZW5Pi2ZomD/ldS1sPlbgsutYrVZqW5QbY/tt7AxEibM6ltZ+6z5ornPpJSV+hCMkfryXJEJC9FOrPz8PwJ3psQwN84wKTBnlGRTWF+Kv92fW0Flqd8c98o/Curug6QrETe6Xy+E6M+i0rJqlJN+vHjjvklLaXxR8waLNi/jFl79wetvCAyRMV+6f8wmGS1/AW/dCc23P5wkhhB30andA9C+jRo3CarWi0WjU7sqAllfZwEcnCwF48qZklXtz1c6LOwGYGze3bRPV9vpd/OQdVsoCN9fAsGnKkh+/ELV75Rb3Tx7G/3x2lgvl9ew6XcztaTFObT/CL4L8unxKG0qpaanpf7EjlE1XH/0A3lwKl7+CN5cpBRVcsNeWxI9whMSP95IZIeFUfn5++Pv74+fX9U2ucJ/XvriAxQqzRw5hTKxnvPFuMbewLXcbAIuTF3f7O/0qfi59pbyBa66BhJnKUp8BkgQBBPrqeWSacq/Q3/afd3qp69ERoxkeOpwWSwu7Lu7qX7Ejroq7ER77APzCIP+w8jfVeMXpl5H4EY6Q+PFekggJ0c9U1rew6RulZPbTsz1nNuhM1RlazC1EBUQxc+hMtbvjWhcPKjNBLXWQNFuZCfINUrtXbvfYjER89Fq+zbvCNxernNq2RqNhyfAlgLKnkOjHYm+Ax7aBfwQUHIU37oIGuRdDCOE4SYSE6Gfe/OoSTUYLaUNDmDF8kNrdaZM2OI29y/fyvzf/L3ptP16Vm7tHuZ/BWA/J82DF2+ATqHavVDEk2Jd7JiobrK7en+v09pckK4nQkZIjFNYVOr194UFixivJUMAgKPoW1t0JdWVq90oI4eUkERJOVVdXR01NDXV1rq3wI7rX2GJm3VcXAXh69nCPW68cYAhgzKAx1zzu9fGT/RFsuB+MDTBiAazYCD4BavdKVU/elIRGA59ll3K2xLk3u0cHRjM5ejIAm7M3e3fsiJ5Fp8HjH0FQFJScgrWLoNo5VQm9fuwRqpL48V6SCAmnys3N5cyZM+TmOv/TX9Gz947lU1nfQly4Pws9ZANVgNKG0l7dI+LV8XPyXXj7ETC3wOg74YENYPCMan1qSh4SxG1jlFj8e2slQ2e6I/kOALad20ZOTo53xo7ovcjRsHInhMRB+RlYcztUXnC4Wa8ee4TqJH68lyRCQvQTZouVV1vfaD55UzJ6nWf8eRvNRu7bdh/3bLuHgjrX7SmjqqNrYfOTYDVD+gq4dw3ofXo8baB4ao5yr9rWbwsorm5yatsLEhZwT8o9rBy20qntCg82aDh852OISIYrl2HNQijLUbtXQggv1I8X6gs1REZGYjab0el0andlwPk4o5jLlQ2EBRi4b1Kc2t1pszdvL5VNleg0OqICoq77u14ZP1/9FT75mfL/k1bBot+D1jOSUE8xMT6cKYkRHL5YyZqDF3hh0WintR3kE8QvZvyCoqIi74sd0Xdhw5SZoTfuhrIsJRl6ZAvEpPepOa8ce4THkPjxXpIICaeKiXHuXiGid6xWK3//XJmSf3R6IgE+nvOn/d6Z9wC4e8TdPRZJ8Kr4sVrh8/+Cvf+pfD/zWbjl38HD7svyFE/PSebwxUo2HLrM924eQYifwante1XsCOcIjoaVO5SS2kXfwto7lH2Ghk2xuymJH+EIiR/vJR9bCtEPfH2+khP51fjqtTw2PUHt7rTJr83nq6Kv0KBhWcoytbvjPFYr7HrpahI0798kCerBvFGRjIgMorbZxMZDl53e/umK0/z60K85VHTI6W0LDxYQAY99CPHToblamSE6v1/tXgkhvIQkQkL0A6tbZ4PumxTHoCBflXtz1eazmwGYHjuduGDPWa7nELMJPvwBfPm/yve3/RrmPC9JUA+0Wg1Pte5r9frBCzSbzE5t/8PcD9mYvZH1p9c7tV3hBfxClQ2Lk+cpZevfuhdOf6B2r4QQXkASISG8XHZxDftyytBq4IlZnrOBqtFiZMu5LQDcO/JelXvjJMZGeOcROP4maLRwx//C9O+p3SuvcdeEWKJCfCmpaeaDb527788Dox4AYH/+fi7VXHJq28IL+ATCik2QukSp3PjOY3DkdbV7JYTwcJIICac6ffo0J06c4PTp02p3ZcD42z5lNmhhWgyJgz1n486DBQcpbyxnkN8g5g6b26tzPDp+Gq/Am8sgZwfofGH5m3DjY2r3yqv46nV8Z2YSoGywarb0XFK9txoKGpgQMgErVt7Kestp7QovYvCD5W/AjY8DVtj+I9j3W2Upaw88euwRHk/ix3tJIiScymg0tn0J18sqquGDE8on69+dM1zl3nR009CbeGX+K/zL5H/BoO3djfEeGz81RbBmEVz+EnxDlepUo5eo3SuvtGJqPKH+BnLL6nn/WL7T2jUajdwSfgsAW89tpaalxmltCy+i1cGSP8Hsnyjf7/s17HgeLNdfiumxY4/wChI/3ksSIeFUBoOh7Uu43u8+zsZqhcXjYxgXF6p2dzrQaXXcFHcTS5J7nzB4ZPyUn4PXboXSTGVH+5U7IHGm2r3yWiF+Br43T0na/7jrDE1G59wrZDAYSA9LZ5j/MBpNjWw+s9kp7QovpNHAzS/Cwv8CNPDNq/Ded8DUfM1TPHLsEV5D4sd7aay92e5dBRaLhdra2g4/Cw4ORiv7cwgBwFe5Fax49Wv0Wg27fjyHJA9aFtdvFByFt+6DhgqIGA6PbIbwRLV75fWajGZu/v0+Cqub+NmiVJ6a7bzZzM1nN/PzL39OTGAMO5bt6LFku+jnMjbD5qfAYoSk2XD/W+AXonavhBAu0JfcQbIKIbyQ1Wrl5Y+zAXhgyjCPSoJMFhMPbH+APx39E7UttT2f4KnO7lb2JWmogJgJ8J1PJAlyEj+DjucWjATgr3tzqW503nKSxcmLGR46nDuH30mLucVp7QovlbZM2VvIJwgufA5rF0Ntsdq9EkJ4CEmEhPBCn2QWcyLvCv4GHT+cn6J2dzr4ouALMisy2Xx2M746zynlbZcjr8OG5Uop3uS58Ph2CBqidq/6lXsmxjEyKojqRiN/25/rtHZ9db5suWsL37/h+wQYApzWrvBiyXOVv+GAwVB8El6dDyWZavdKCOEBJBESwsuYzBZ+90kOAE/clERksJ/KPepoU84mAO4acRc+Oh+Ve2MniwU+/Tel2pTVDOkPwoPvgm+w2j3rd3RaDc/flgrAmoMXKK5uclrbGtnTSXQWewM8sRsGpUBNPrx2G5z7TO1eCSFUJomQcKqioiLy8/MpKipSuyv91rtH8zlfVk94gKFtg0pPkVmRycGCg2g1Wu4beZ/d56saP8ZGePcx+PLPyvfzXoS7XwG9lyVzXuSW0ZFMSginyWjhfz4741BbnWPHYrXwef7n/OPUP5zRVdEfRCTBqk8hYRa01Cr3/x1dC8i/XcIxEj/eSxIh4VSlpaUUFxdTWlqqdlf6pcYWM3/cpbxh/MHNKQT7eVaFmr+f+DsAC5MWEh8Sb/f5qsVPXSmsXQJZH4LOB5a9CnN+olSfEi6j0Wj46UJlVuidI/mcK63rc1udY+ds1Vm+99n3+Mvxv1BcL/eEiFYBEUr5+/EPKLO+256FXT+ntKRY/u0SfSbvfbyXJEJCeJHXD16gtLaZuHB/Hppmf6LhSjmVOezJ24MGDU+Ne0rt7vReaTb8Yz4UHAH/cHhkK4xfrnavBoxJiRHcMjoKs8XK71uXfDrDqIhRTIqahNlqZmP2Rqe1K/oBvQ8s/RvMfUH5/uCfSPjm39GYr11eWwjRP0ldUeFUw4cPx2KxSJlzF6iqb2m7qfyfbx2Jr16nco86si1BujXxVpLD+rZkz+3xc34fvP0oNFdDRLJyP9DgEe65tmjzk9tHsSe7hI8zizl2uYqJ8eF2t9Fd7Dw85mGOlBzhvTPv8fT4p6V4grhKo4G5P4XwJPjge4QV7CXdUk3z3a+r3TPhheS9j/ey+xWrq6vjueeeIzY2Fj8/PyZMmMCmTZt6PC8/P5/nnnuOOXPmEBYWhkajYe3atX3ps/BgQUFBhISEEBQUpHZX+p1X9p2jtslEanQwd6UPVbs7Xfxw4g+5J+Uenhrf99kgt8WP1QpfvQJvLlOSoGHTYNVuSYJUMjIqmHsmxgHw8s5s+rK9XXexMzduLnFBcdS01LD9/Han9Vf0I+n3w6NbwS8MfdExAtcvgoJjavdKeBl57+O97E6Eli1bxrp16/j5z3/Ozp07mTx5MitWrGDDhg3XPe/cuXO89dZb+Pj4sGjRoj53WIiBqOBKI+u+ugTAvy5MRav1vHtXhgUP4xczfsHI8JFqd+X6jI2w9Rn45IWrleEe/QACB6ndswHtRwtG4qPXcvhCJftyypzSpk6r46HRDwHw5uk3sVgtTmlX9DOJs+CJz2DwSKgthNdvhxM9f8ArhPB+diVCO3bsYNeuXbzyyis8/fTTzJs3j1dffZUFCxbw/PPPYzabr3nu7NmzKSsrY9euXfz4xz92uONCDCR/+PQMLSYLU5MimDvSs/az8ao3l9UFsGYhnNgIGh3c/rJSGc7gWSXIB6LYMH8en5EIwG8/zsZssX9WqDtLU5YSZAj6/+3deXxU1fn48c+dfbJM9gTCkkBYwhJAFgEXRCsoKi3KT8XaFqvFurW1m6K2bl9b7fJt5VvFqtiCVazUpVbADaWiLAKyJhC2BAIhhOzb7DP398dNJhmSQPaZkOf9euWVZO7cM8+dOXPufe4591yOVh9lY+HGLilTnIcSh2nJ0Ig54HPBuz+EDx8GnzfUkQkhulG7EqF3332XqKgobrwxeFrc73//+5w8eZKvvvqq9ReScZN9gtPpxOFw4HR23T1B+roteWW8veMEAIvnZIbdPVIe2/QYP/vvzzhadbTTZXVr/SnYAi/NhJM7wVo/c9S0u2VmuDByz8wMbBYDuadq+PvG/Hat21rdiTRGcv3w6xkeN5xok9wPSrTM6XTiUI04r/8bzHhAe3DL8/DaDWAvD21wIuzJsU/v1a7JErKzsxk1ahQGQ/Bq48aNCyy/6KKLui66M+Tk5JCWlobNZgs85nK5yM3NBSAuLo7Bg4Nn0jp06BB2ux2A8ePHBy0rLS2lsLAQgMGDBxMX13iBrs/nIzs7G4Do6GiGDg2++Ds/P5/q6moAxowZE/SeVFZWcuyYNowpNTWVpKTgM/h79uxBVVWsVisjRgQPIzp+/Djl5VqjO3LkSCyWxjPVtbW1HDmiXSyfnJxM//79g9bdt28fHo8Ho9HI6NGjg5YVFRUFpnXMyMgIGsfqdDo5cECbrSk+Pp5BgwYFrXvw4EEcDgeKogQ+6wYlJSWcPHkSgLS0NI4dOxaIYcyYMeTkaHfvttlsDBkyJGjdvLw8ampqABg7dix6fePF/xUVFRQUFAAwYMAAEhMTg9bdvXs3ABEREQwfPjxoWUFBARUVFQBkZmZiNpsDy6qrq8nP1w6wUlJS6NevX9C6OTk5eL1ezGYzmZmZQctOnjxJSYk2ZGfYsGFERkYGltntdg4dOgRAQkICAwcODFr3wIEDOJ1O9Ho9Y8eODVp2+vTpwL0H0tPTiYmJaYy3zsHP3tgOwHWj4rjgjIvIjxw5Qm2tNuVwVlZW0AmHsrIyTpzQEqiBAweSkNA49Mvv97N3715AG9uckZERVO7Ro0epqqoCYNSoUZhMjffSqaqq4ujRowCoMSrvH3kfn+rj9rG3A1o74PP5sFgsjBw5MqjcEydOUFZWBsDw4cOJiGi8eL2uro79+/cD2omTiRMnBq2bm5uLy+XCYDAwZsyYoGWnTp2iuLgYgCFDhjRrI05/8DsG7F6CTvVCylhY8DrEpQPSRjToqTYiNjY2sMzr9TZrIx66ZhQPvbOX//34IKOi3UQp2kxe52ojCgsLA9s2fvz4oDbi3gn38vNJP0ev09Y/n9oIt9sd+N7ExMSQnp4etG6o24j+/fuTnJwctG5n2ojDhw8DkJSURGpqatC6nWkjGr7LOp2OiVc8Av2y4N27IP9zPM9fTN7U3+CMyZA2IgzaiKbC5TjiwIEDgffNYDBIG0Fo2oiGfXl7tCsRKisra/ZFBq3SNyzvTl6vt9lFtKqq4vF4AstbWqdh+Zn8fn9gmd/ffHhPW8s9M6am5bY0XNDj8aCqKkZj83vA+Hy+TpXb2rY2LffMbW36HrZUbsO2ttQT0dZyw+WzOde2ejwevF5viz2YZ/ts2lKux+NpcdnZyn3uv3mcrPESZ9GxaEpis3XP9pm39T1saf2mMZ2p6bauOrwKn+rj4tSLGZuoNcxutxu/3x+0Q2rLtp7rAvmGbW3pea2W63GgX/sLBu1+DYDatFlE3boCTI07H2kjmpcbyjZiwZRBvLerkC155fxxw0kenh7dYrnt+WwijZFBy86nNqLptrb3M++JNqKlmDrTRrRlW9vVRpzxf+Dv0d+EhAz457cxVhxl2Od3c2zcz+CMREjaCAKvI8cRjeVKGxG6NqK92j199tmG5XT3kB2DwdDsNRRFCTQEZ/ZUNTzWUkMB2pmfhmUtVdi2lntmTE3LbelDNBqNqKraYrl6vb5T5Tb93Vq5Z25r0/ewpXIbtrWlz/fMcuPj4/H5fOj1+rD8bM61rQ3bea73sCPlNrwvbS03u7CKVzZqZwTvmhJHTISp2bpGo7HT7+G5tvVMDdta6i7lk5OfaPGNvyuw3GQy4fP5OvQeNsRptVpbjNfv97f9e1N6GP51G4bivagonBq9CM/U+4gyBR8USxvRvNzubCNaK7dhWxVF4ZkbxnHVsxvYedLBFycsfGNo8Gd25rae2fY03cam76HT6+S1/a+h2BUmWyYHXq892xpObUTTdc9WbqjaiNZi6kwbca5tbVcb0aTchu1veuaflDGwaD32V28m4tRWhu78LehOatcWGrU2StoIAq/TU21ES+W2pCePI5q2P9XV1dJGELo2or0UtR3p0/Tp0/H5fGzdujXo8ZycHMaOHcuLL77InXeee+rc7du3M2XKFP7+979z2223tfgcv98f6O5sEB0dLdcaiT7B6/Mzb+lGsguruSarH0tvnRTqkJp5astTvHngTab2m8qyq5aFOpxge9/S7hjvroWIRJj/MmRcEeqoRDv89fMjPPNBLjFWI5/8bAbJ0Z2f0OKdQ+/w2KbHiLfEs+b6NUSZZKpb0QZ+H3z+O/j894CqDa+9cTkkDj/XmkKIHtSR3KFdWUVWVhb79+9v1o3YMEbwzDGLQoiOWfZlPtmF1cRYjTz+zTHnXqGHFdcV886hdwD44fgfhjiaJjwOeP9+ePsOLQlKuwTu+lKSoF7oB5cMYewAG1UOD4//J6dLypybMZd0WzrlznL+li03zhRtpNPD5Q9rE6xEJkFxtjbxyt63Qh2ZEKKT2pUIXX/99dTW1vL2228HPb5ixQpSU1OZOnVqlwYnRF+UX1rHnz85CMAj147qkjPhXe313Nfx+D1MTJ7IlH5TQh2OpvQwLJsFX/8dULSZn773Htj6n3NVEX4Meh2/mz8OvU5h7d5TfJRzqtNlGnVGfjrppwC8uu9VTtV1vkzRh2Rcrp1YSb9UO9Hy9h1az7PHEerIhBAdpH/88ccfb+uThw8fzqZNm3j55ZeJj4+nurqap59+mlWrVvHCCy8EZlO54447mD9/PgsXLgya/eOtt95i37597Nixg3Xr1jFw4EDsdjv79u1rNjuJqqq43e6gx8xmc9hNHSxEV1JVlbtf/5pjZXYuGZbIr64dFZZ1fnzSeGLNsVw79FoGRA0IdTjamdk3bobqE9pQuAWvw6SFIENpe7XkaAtOj4/tRyvYml/OTVMGYTE2H0/eHum2dL4q+ooTtSeodlVzxWDpLRTtYI6CcTdrfx/bBEW74OCHMGQGRMhNmYUIpY7kDu26Rgi0qRcfeeQRVq1aRXl5OZmZmTz00EMsWLAg8JzbbruNFStWkJ+fHzRN39kCaWlmE7lGqPc5ePAgXq8Xg8HQbEpPcW5vbC3goXf2YjXq+ej+GQxOiDj3SueRdtcfezms/SVk1w9RSbsE5i+TXqDziNPj45olX5BXWsctFw7i6RvGtfi89tSdvSV7+fbab6Og8K+5/2Jk/MizPl+c/zq07zqyHt5ZBHUlYLDCrCdhyg/kBEwfJMc+4aHbrxECba7wJUuWUFRUhMvlYvfu3UFJEMDy5ctRVbXZXOWqqrb6I84PDocDu92OwyFDBdqruNrJb9dqc/3/fPaIsEyCDlUcwuNveTrMrtCu+nP4U3jhIi0JUvRw2WIZCnceshj1PH1DFgBvbD3O5iMt36ahPXUnKymLq9OvRkXlzzv+3KXxit6pQ/uuhqFyQy8HrwM++KV2A9aqwu4LVIQlOfbpveS0hehSiqIEfkTbqarKr/+dTY3Ty/hBsXz/4iHnXqmHVTgruP2j21mwekG3XVvRpvrjroM1v9AOOGqKIGEY3PEJXP4Q6Nt9RwDRC0wdmsCtU7WbZT/0zh4c7ub3nWhv2/OTiT9hVtosHpzyYJfGKnqnDu+7ovtpkyhc80etVyhvPbwwHfb8C+Qkb58hxz69V7uHxvUUGRon+pLlG/N5/P19GHQKq398CZn9bOdeqYf96stf8d6R9xgeN5w3r3sTo67l+wN0qxPb4Z07oVy7MzoX/hCufBxM4dd7JrpWjdPDrD9t4FS1k+svGMCfbhovBx0ivJQegnd/CIVfa/+PuR6u/RNExIc2LiH6iB4ZGieE6Fpf5ZXxP2u0IXEPXTMqLJOgbae28d6R91BQeHTaoz2fBHld8NlT8MosLQmKTq0/C/t7SYL6iGiLkT/fPAG9TuHdnYUs33S0S8u3e+xdWp7ogxKHw+0fw+WPgM4AOe/C0ulw8KNQRyaEaIUkQkKEUFGVg3tX7sDnV/nWhFRuvzg91CE14/a5eXLzkwDcNPImJiRP6NkAjm6Ev14CG/4Aqh+yboJ7Nsm9gfqg6RkJPDQnE4Cn1uznq7yWrxdqjypXFb/e+GuuffdaSh2lnS5P9HF6A1z2gDZcN3EE1J6ClTfBv26DmuJQRyeEOIMkQkKEiMvr467XdlBa62ZUfxvP3DAuLIf6vLL3FY5WHyXRmsiPJ/64517YXg7v3QfLr4HSgxCZDDeugPkvgzWu5+IQYeWOS4bwrQmp+Pwq967cQVFV5y5Othqs5JTlUOoo5dGNj8rkPaJrDJgIP9wA0+8DRaf1Dj03Bbb/Dfz+UEcnhKgn1wiJLlVSUoLP50Ov15OUlBTqcMLa4rf38M9tx4mxGnn/vkvCcpa4/Kp85v9nPh6/hz9c9geuTr+6W1+vpKQEn9dLRN5abJue1qalBZh0m3YtkCRAAnC4fdzwwib2F1UzflAsq344jeqK8g63PYcqDrFg9QLcfjeLL1zMraNu7abIRbjq1n1X0W74z4+1ew4BDJoGc5+F5FFd+zoiZOTYJzx0JHdo1w1Ve5LcULV3Onz4MJWVldjtdvr16xfqcMLWyq8KWPLpIXQKvPTdyYwbFHvulUKg2l3NvrJ9ZMRm8JMLftLt37+C3RuIX/9LYvb+HTx2SBwJN78OFy4Co7VbX1v0Hka9jhnDk3hnZyHHyuyU1rhIN9Z0uO1JsCYQbYrmy8Iv2Vq0lcsHX06CVW6O2Zd0674ruh9M/J52IufYZqjIh69XaNc+Dpoqs12eB+TYJzx0JHeQ7hUhetjXxyp47D/ZAPziqpHMGBG+Z4/SbGn8/eq/84cZf+jeJMhdB/99hpGfLiSmZBt+nUm74PiuLyBteve9rui1BidE8JdbLkCnwD+3Heejw7WdKu+WzFuYMXAGbr+bBzc8iNPr7KJIhQB0eph2N9y3FUZeA34PfPFHWDoN9q+WqbaFCBEZGie6VGVlJX6/H51OR2xsePZyhNLpGidz//IlxdUu5oztx9JbJ4ZlL6fdYyfC2AND9fx+2PsvWPc41JwEwDNgGo4rn8Y2ZGL3v77o9Zb+9zC///AABp3Cy7eM4YJBMR1ue8ocZcz/z3zKnGXcknkLD099uIujFeGqR/ddqgr734cPHtDuhQaQfilc/TT0y+re1xbdQo59woMMjRMhZ7FYsFqtWCyWUIcSdlxeHz9YsZ2DxbUMT47ildumYDboQx1WM3aPnds+vI2DFQeZnjodvdJNMRZ8Bau+B9teAncNxAyGby5Bf9VTmONSu+c1xXlnclocB4trOFhcy+ajVdw0bShR5o4NNYowRjA8bjgbCzdy6+hbGRoztIujFeGqR/ddigJJI2HSQu3vwh1QkQfb/w7VhTBgMpgiuz8O0WXk2Cc8dCR3kB4hIXqAy+vj3td3sG7/aaLNBt6772KGJkWFOqxmVFXlF5//go+PfUycOY5Vc1fRL7KLxztXFsAnj0HOO9r/pii49Ocw7R4wyk5EtF+ty8v1z2/k0OlahiVHsXLRVJKjO16X6jx1RBrlQFT0kIpjWq94oE2Mhkt/Jm2iEGu0+F8AACAASURBVO3UkdxBEiEhupnL6+Oe13bwae5pzAYdf7ttChcPSwx1WC16YfcLLN21FIPOwLLZy5iUMqnrCq8rhS//DFtfBp8LUGDid+HyX0F0Ste9juiTCsrs3PzSZoqqnGQkRfLGndM6lQw1KHWUEm+JR6fIvkd0s4It8OFDcHKH9n/sYLjsQRi3QCZUEKINOpI7SMsuupTX68Xj8eD1ekMdSlhweX3c3SQJemVh+CZBnxz7hKW7lgLw62m/7rokyF6une18dhxsfk5LgtIv1e6x8c2/BCVBUn9ER6XGmPjH7ZPpZ7NwpKSOW17awunqzk148FnBZ8x7bx6v73+9i6IU4Sos2p7B0+AHn8L1L0J0f633/L174fkpsPtN8PtCF5s4q7CoP6JDpEdIdKndu3fj8XgwGo2MHz8+1OGEVEMS9FmTJOiS4eGZBOWW5/K9D76Hw+vgO6O+w4MXPtj5Qh2VsGUpbF6qXQMEkHoBzHwYhs/SxsafQeqP6KiGulPqVHjii8rGnqFF00i2daxn6M3cN3nqq6cw6AwsuXwJMwbO6OKoRbgIu7bHbYdty2Djs2Av0x5LHAkzF8PoeSDHQmEl7OpPHyU9QkKEiaZJkMWoDYcL1yTI5XPxk89+gsPrYHr/6fx88s87V6CzGj7/AywZB5//TkuCUrJgwRuwaD2MmN1iEiREV+gfbeCfd04jNUbrGVrwcsd7hm4aeRPXDLkGr9/LT9f/lC1FW7o4WiFaYYqAi38MP9kNV/waLLFQegDe+j789WLY9x9t1k0hRKfIrHGiSzkcDkwmE1arlbi4uFCHExJOj4+7X/ua9QdKsBjDezgcgEFnYFD0II5VH+MvV/yl49NmVxXChj/AO3fC4U+0mwUmjYLr/gRXPwNJI86ZAEn9ER3VtO6kpyYza3Q/Pso5RUG5g09zTzNnbD8i2zmbnKIozBw0k4MVBzlSdYR1x9Yxud9k+kf276atEKEStm2PwQxpF8Hk28FggaI9UH0Cct7VfvRmSMqUa4hCLGzrTx8js8YJEWJnJkF/WziFi8I4CWrKr/o7dkH4qb2w6TnIfgv89eOjE0doF/mOuV67kaAQIVBQZueWl7dQWOlgaKI2gUJKB4bJuX1ufvzZj9l4ciORxkiWzV7G2MSx3RCxEOfgqNDa260vgataeywyCS78IUy5AyLiQxufECEks8YJEULHy+3c8/oO9hZWhX0S5PP7WLJzCfMy5jE0tgP3SlFVOPIZbPoL5K1vfDz9Uph+HwyfLWPYRVhomgwlR5t5/taJTElv/8Giw+vgnnX3sL14O3OHzuW3l/62G6IVoo2c1bDjVdjygtZDBGCwwgXfgen3QLzcA0v0PZIICREi63NPc/+bu6hyeIiNMPLCrZOYnpEQ6rBa5PQ6WfzFYj4t+JQBUQN4b957mPXmtq1sL4c9b8LXy6EkV3tM0cOYeVoCNGBit8UtREcdL7fz/eXbOHy6Fr1O4aE5mdxxyZB2D7Wu89SxImcFi7IWYdQbuylaIdrB54Gcf8Om/4NTe7THFJ12MmrSbTBslgybE32GJEJC9DCfX+XZdQf5y2eHARg/KJalt05kQKw1xJG1rNJZyY8++xG7SnZh1Bl5+tKnuSr9qrOvpKra/S2+Xg77/g3e+gvPTVEw8Xsw9S6IS+v22IXojDqXl4fe2ct/dp8E4Jqsfvxu/jiiLR1PaFRVpcJVQbxFhiOJEFNVOPqF1kt/6OPGx6NTtfu1XfBdiB0UuviE6AGSCImQy8vLw+v1YjAYGDr0/O6aL6t18ZN/7uLLw6UAfHdaGr+6bhRmQ3heE3Oy9iR3rbuL/Kp8ok3RLLl8CVP6TWl9BXs57P6nlgCVHmh8PCULJt8GWTeCJaZLY+xL9Ud0rbbUHVVVeXXzMZ5asw+PT2VoYiQvfGcSI/tFt/v1/Kqf3371W7448QV/+cZfGBE3orObIELovGp7Sg/DjuWwa2Xj1NuKTusdmnSb1lskvURd6ryqP71YR3IH+SaILlVTUxOYS/989vWxCu5buYOiKidWo55n5mfxrQkDQh1Wq3LLc7ln3T2UOEpIiUjhr1f+lWFxw5o/0V0HBz6A7Lfh0Cfg92iPGyMha762E02d2G3TX/eV+iO6XlvqjqIoLLwonayBMdz7+g7ySuuY9/xGnr4hi3kXtO/7W+OuYUvRFk7WneTWNbfy8NSHmTdsnsxs2kudV21P4jCY/ZQ27Xbuau1kVv4GOPSR9hOZpN2LKOtGGHSh3M6gC5xX9aePkURIiHZweny8vCGP//vsUOCM8l+/O4kRKe0/o9yTntv5HCWOEobHDWfpN5bSL7Jf40KvW5v4IPstyF0LnrrGZf3GaclP1o1gsfV43EJ0h4mD41j9o0u4/81dfHGolPvf3MXGw6UsnpNJQlTbrpeLMcfw6pxXefiLh9l4ciOPbnqU7cXbeWTqIx2fgl6IrmQww9j52k/ZEdixAna+DnUlsO1l7SdmMIy9AbL+H6SMlaRI9DkyNE50KZ/PF/hbrw/PIWIdoaoqH+8r5qk1+zhe7gC65hqDnlLlquLZHc/ys0k/I9oUDR6HdoYwdw3s/482JWuDuHQY+/+0HWPyqB6N83ytP6L7daTu+PwqS9Yd5P/qr/GLthj46ZUj+O70NIz6tu1r/KqfV/a+wnO7nsOv+smIyeB/Z/4vGbEZ7d8IETJ9pu3xeSDvc+3E1/73wV3buCwpU7vlwcg52kkwSYrarM/UnzAn1wgJ0Q0OFdfwxPv7AtcCpdjMPDRnFN+akBq2w2ByynL4IO8Dfj75540x1p6Ggx/CgQ+1Ka899sYVolJgzA1az8+A7hv6JkQ42na0nMfey2FfkXZfluHJUTw6dzSXDk9qexmntvHghgcDw0/X3rAWk97UXSEL0XkeBxz8SEuKDn4MPlfjMtsAGHG1lhSlXwrG9t9/S4ieJomQEF2oyu7hz+sO8o8tx/D5VUx6HYtmDOGemcPafYf6nmL32Hlu13O8vv91/KqfP4y9m6vr6rTkp/BroMnXvWFHN/qb2o5Obnwq+jCfX+XNbcf5w0e5VNi1a+Nmj07hV9eOZnBC24a6lTnKePjLh1kwcgGXD768O8MVoms5q2D/ajiwVhsq3fREmTESMi6HEVfB0JkQOzhUUQpxVpIICdEFapweVm0/wfPrD1Ne5wbaf0AUChuOb+A3mx/npKMEgDl2Nw+UnCbR7298UuoFMGJO/dCHLOn5EeIMzU6AGHR8/6J0brs4nf4x554WX1XVoJ7idw+9S6Wrklsyb8FikLPqohfwOCD/Cy0pOvgh1BQFL49LhyGXwZAZ2u+otvecCtGdJBESIVdRUYHf70en0xEXFxfqcNolr6SWVzcf41/bj1Pn1sb7DkuO4rF2DpHpMT4vnN7HqfxP+VPev/nAVw5AqsfLr8rKudThBLMN0i/RpksdcTXY+oc46LPrzfVHhFZX152DxTU82WRIrF6ncPXYfnz/onQmpcW1aVis3WNnzjtzKHeWkxyRzF3j72LesHkYdeF/XWFfI21PK1QVinZrs4ke+RQKd4DqC35O8mgtKRo0FQZOgZiBfe4km9Sf8CCJkAi53bt3B6aQHD9+fKjDOSe/X2XDoRKWbzrKfw+UBB7PSIrk9kuGcNPkQW2+aLrb1ZXCiW1wfKv2u3AHeOq4vV8y26wWdKrKd2sc3GMbQ8TQmTD0Mug3vlfdL6K31R8RPrqj7qiqyqf7T/PyF3l8lV8eeDxrQAy3XZTOdeP7n/W+YV6/l/ePvM8Lu1+gqE47qz44ejD3XXAfV6VfhU4Jk7ZFSNvTVs5qOLZJm2wnfwMU723+nOj+WkI06EIYeCH0H3/eX2Mk9Sc8SCIkQq63NAbHy+18lHOKlVsLyCvRpotWFLhiZDK3XZzOJcMSQzcRgqpC1Qk4tQdO7a3/2QOVBXiATyMjmOpwEuf3g9nGJ6kjed3s55ej72DM6P+nTZnaS/WW+iPCT3fXnX0nq1mx6Sj/3lWIy6sNN02MMnHzlEHMGdufMam2VtsMt8/NqgOreHnvy5Q7tYQqMz6TJy56gtEJo7s8VtF+0vZ0UF0pHP0Cjm6EE1vhVHbzHiOdEZIztZno+mVpPyljwRobmpi7gdSf8CCJkAi50tLSQPdwYmJiqMMJUFWVnJPVfLyvmI9zTpF7qrFuRZsN3Dh5EN+bnkZ6YmRPBqXdz6H0IJQcgNJDUJytJT7OyqCnlut0vBsdyRux8RTrVH6cfAmLJv4IkkaiKrqwnb2uvcK1/ojw11N1p7zOzT+3FfCPzccoqnIGHh8Qa2XW6BRmjU7hwiHxLfYk13nq+Me+f7AiZwW1nlre+9Z7DI3V7kJf5ijDZrbJsLkQkbani7jr4OTO+tEL27TkqK6k5efGpmlJUfIoSBwJicO1H1MP7oe7iNSf8CCJkBBNVDs97Cyo5LP9xXyyr5iTTQ5adApcOCSea7P6c/3EgUR15yxwjgqoONr4U3pYS35KDzZLeBqoOgO5ySPYEBvPBsXFXudp1PoZ3+It8dw57k5uHXVr98UshDgrr8/Px/uK+ffOQjYcKsHpaZyUxGYxcEVmMlfWJ0XJ0cHDgiqdlXx87GNuGnlT4LFffP4LthZt5eohV3Pd0OvISsw6b05wiD5MVaGyoMnohvqfqoLW14kZVJ8UjYCEYdrkDLFp2mx15/kQO9E5PZII1dbW8qtf/YpVq1ZRXl5OZmYmixcvZsGCBedc9/Tp0zzwwAOsXr0au93O+PHjeeqpp/jGN77RJRsj+i6fX+Xw6Vp2FlSws6CSnccrOHS6lqa122rUc9mIJGaNTuGKzGTiIrvgHh9+H9QWQ/XJJj8noOJYfeJzDFxVZylAgbg0SByJJyEDY8oY6DcOT0IGl701ixpP43dgTMIYbsm8hTlD5sj9SYQIIw63jy8Pl/LJvlOs2386MNtkgwGxVi4YHMsFg+O4YHAsY1JtQdcWef1ern3nWk7WnQw8lmBJYGLKRCYmT2Ryv8lkxmf22PYI0e0cFdowulN7ofQAlNSfHLSXnn296P5aYhSXriVGtlTtVhC2VO3HEtvnJmoQjXokEZo9ezbbtm3jmWeeYcSIEaxcuZJly5bx+uuv8+1vf7vV9VwuF5MnT6ayspJnnnmG5ORknn/+edasWcO6deu47LLLOr0x4vzn86ucrHSQV1pHXkkt+aV1HCquZW9hFbUub7PnD46PYPrQBGaPSeHiYYlYjG24V47fr/XU2Muh7rR2I9K6ksbfdSWNyU/NqebjoVsSlaKd0YpLg4RhlMb0J9egJ9dXw/7Kw+SW56Kisub6NYGzwL/e+GuqXFXMGDiDSwdcSkpkSnvfLiFED/P5VXYUVPDJvmI2HCzhQHENZ+5lTXodo1NtjEyJZkhSJEMTI0lLMFPkzubDY2v4rOAzHF5H4PlT+09l2exlgf+3ndpG/8j+9I/sj17u/yXOJ/byxhETJQeCR1O4a8+9vsHamBRFJkFUcpPfydpU35FJYI3XhuBJ0nRe6fZEaO3atVx77bWsXLmSW265JfD47NmzycnJoaCgAL2+5UZ56dKl3HvvvWzatInp06cD4PV6GT9+PFFRUXz11Ved3hjRu6mqSq3LS3G1i9PVToprnBRXuyiudlJU6SS/tI78sjrcXn+L60ea9IwfFMvEQVFM6mdhfIqBeIMbXDVaYuOq1ma8afrbUQmOcq3xdVRofzsqCbrx6Lkoeu0slS1Vm57aNgBvzCBKImMpMlm5YMgsFHMUAEt3LeVfB/9FqaPls17vz3uf9Jj0dr5zQohwVevysud4JTuPVwZ6rMvO6DFqoNcpDIqzkpZoIjK6CJfhMOW+g2QlTOLbmd8lJdqCX1fDzFUzATDpTAy2DSbdlk56TDrptnTGJY1jSMyQHtxCIXqAqmr76YqjUJGv/a46UX9Csn40hr2sfWXqTVpCZI2DiPrf1jiwxGg/ZhtYbI2/LTFgigJztJZEGSMkkQoz3Z4ILVq0iH/+859UVFRgMDReU/HGG2/w7W9/m40bN3LRRRe1uO6sWbM4fvw4ubm5QY8//fTTPPzww5w4cYIBAwZ0amNEz/P7VdxeHy6PF7fbzd7svTgcTvyoDBgwEKfLhcvtxuVy4XK7cDhdOB0OHE4HTqcTl8uJ0+nE43bhdjnA58KMJ/BjUhr/tuDGoriJVNzEmXzEGLxE671E6txYcWL02VHcdeB1njvwc/ACLnM0jqhEHBEJ2CNicVhisFuicZgimNHvQoyxg8E2gPdObebLk5uodFVS5aqiwlVBib0EX31P0Rc3f0GsRZsd5+mvnmZl7koUFNJsaYyKH0VmQiaZcZlkJmQSb4nvdOy9mcy8Izqqt9QdVVU5Xu5g94lKjpTUkldSR359D3fD/cvOxhxRiCX1X/gNpaA07wWfEnsDV6f+AKtJj5sylub+kjhzIgnWBBIs8djMNmymKGIsNrKSxjAuaSwAHp+HU3WnMOlNWAwWTHoTZr25z0zx3VvqjzgLj7M+KSrSbgJbe7p+VEf9SI7A36fB1/LJiPZRtITIFIlLNeDTW1ANFiJjErQkyWjVeqiM9T8GM+jN2m+DBQwm7bfeVL/MBHpj/e/6v3XG+t8G7aelvxV9/WN947t6Nh3JHdp1hXh2djajRo0KSoIAxo0bF1jeWiKUnZ3NpZde2uzxhnVzcnKCEqGW5OTkkJaWhs1mCzzmcrkCyVVcXByDBw8OWufQoUPY7XaAZo1baWkphYWFAAwePDjoJlg+n4/s7GxAexOHDtVm9qmqKePBlXNRVX9guINOpwDaWYEMr5kr7NF4fV5U/CyPrWx2wavfr+3sBnuNXOfSXlNB5eWoMjz4aShY12S9gT4Dc2sj8fm8KKisiK3DFfhcVRS0CqAAyV6FW+wRgAqqyt9tDmqVxnKbhpPoU1lYCag+FFVleZxChV4rUytXBVWLL87v58fldejwo1P9vBwXQZFBR0vVK1L1M3dTReD/F2NtHDUaA/0sgexbB2arym/qykGn/b8sxsYBkzHoeSqgKgqKqvK/JWVapuKFV2Ki2WU2oyoKfnT4iUYlGr8CfhReqHRhMseAxcZzFpXPdW48KvgUBb9Oj1+nw42KF5U1037DqWI7Ln0kL5f+m09L1wM+4DS4T4MbqNbiWT3+LtIS0wDYv/8AHx79sNl7YNAZ6BfRjyp3FcXHinE6nUzQTWDOnDmMiBtBhDEC0K6dKyoq4njpcfTpemJiYgJluN1u9u/fD0BMTAzp6elBr3HkyBFqa7XhAllZWUFf9rKyMk6cOAHAwIEDSUhICCzz+/3s3avd/yEqKoqMjIygco8ePUpVlXZt06hRozCZGq9Jqqqq4ujRowD079+f5OTkoHWzs7Px+XxYLBZGjhwZtOzEiROUlWln7YYPH05ERERgWV1dHR6PB9C+f2fKzc3F5XJhMBgYM2ZM0LJTp05RXFwMwJAhQ0LaRjTIz8+nulqrMGPGjAlqNysrKzl27BgAqampJCUF37B3z549qKqK1WplxIgRQcuOHz9Oebk2BfPIkSOxWBovHq6treXIkSMAJCcn079/8A109+3bFzjYGz06eNrmoqIiTp8+DUBGRgZRUVGBZU6nkwMHDgAQHx/PoEGDgtY9ePAgDocDRVECbXqDkpISTp7Urn1JS0sjNrZxylyv10tOTg4ANpuNIUOCezLy8vICO7WxY8cGjTioqKigoEC74Lqlfcfu3bsBiIiIYPjw4UHLCgoKqKjQ2qfMzEzM5sYp56urq8nPzwcgJSWFfv36Ba2bk5OD1+vFbDaTmRl83c7JkycpKdFmyBo2bBiRkY2zX9ntdg4dOgRAQkICc8cPDFo3NzeXkxV2TtX5ITqZoioHxdVar3hheS2na1xUu/y47ANwHb4f8KMYK9CZStGZStCZtd8bTur4bPMeAHSW40QOKeS0sxBauFTRVToTb+nVGHUKJmsZDPp98yepehTViM1zOQnub6IoCqq+iuOmP4GqQ0GPXmdAUXQo6FBQsPkmYKu7WDtOtKgUmP4G6ND2lDq8Xi+goCgKicYsBuhnafsw1UOO+wX8fq3X32g0ojRJxKLVIdjqpgFgsVjIN6wICtXt8aCqKoqikGAeRprhmsCyPY4X8fpc9eUaghI8q9KPmGrt+ERRFE7vvR+f2nhCzeP14PerKCjEWAaQYbwhsGyf41WcXu3NNRgNQW2wmTgSa2cFtqXIshaX2rhf9Hq0cgEizfGMNDVOgHPQ+S9qPacA0Bv0QXXfgIWUum+Cqi0rs/6XOrWosVyvF79Pew9NJgtjzYsCy/Jca6h057VYLsAg+4LA7GdVUVup9ucFlvl8PnxeX+A9HGP+ATpF21cXuD+l1LUPAJ1e1+w4MdU5D8VrAgUc0TmU+3NaLNdgNJBpvhWTorXhRZ7NFDm3a+XqFAzG4FkV+7uuQefR2iq37TAl/h2BZX6/H6/HW7+tsQy3/YCI2GRQVSq92zjh+Byj6sGoeDHr/BhVD3rVg0H1clWtjXSXG6vfzhFLHRusTvSqF73qRaf6tGOjet+tLifTre27vjabeUdXRGsWVNeS5daSsL0mE/+0RbX63Btq6pjk0upsrsnIP2zRrT73uto6pjrd+NFxxGTi7zHR9REqDUdy9UeKClc4VS50KqiKQqFex4rohmWgKLrAegBTnXqm2LU6UmbU8bpNi73h+f5AX4rCWGM6d//g7UBMoTiOaNiXt0e7EqGysrJmO3vQdowNy8+2bsPz2rtuA6/Xy5kdWKqqBg6etMa1+ToNy8/k9/sDyxoa3qZaKtftcbLRUtPsuQ2iak8xqU7bFj+wyDq41eca7OWML8sO/L85YSCuVrLWCx1OshyNDcc2ywAqWxmGmOV0MaL8cOD/7ZZUThla/qiHud086jvV+Fxrf/JNLU/fOsDj5Vfl2j13UGBTRCz7zC3fsybe5+ORsgo86PFh4EtrJLssLZdr9cMvdRkYTGaM5gi2U8hGf8vvsQJw4cPknyjGrzez1fklmxxHWnwugP072zBFaQdeJ794mNy89xu+39oH1ORjdw+4gNqaArxeL7r6r4aCgsVgIcIQgREjBtWAWWfGrzau+I3B3yDZlExtaS2R+kgGJQ5iQsYEEq2JgZ1tdkE2Ho+HFH0KE5InBMXo8/kCda2lDtqzJQcej6fT9bul9ZvGdKam37mWYnK73fj9/haHyZ5tW5v+f+ZOtCFOT/2BTnvL7ck2oqVyz4ypabmtfa6qqmI0Nv/OnG1b21Jua9vatNwzt/Vcn3nDtrY0y1lby+3sZxMREYHX6w3UnY5+NufaVo/Ho7URLbTVba2Hrb2HNqOf2HgdEycG7zeKioooLCzE41OxpQzCZ7BQafdQ5fBQXuvgQP4J6tx+PIoRJSYCu9uL3e2j1m2mvPRenP5KPLoa/LpafIoDRXGB3onf1Q+/Ci6fisftIcJnAp0XRWnyOSk+VMXH6Ro7J0q0gxrFWEbUsOJm29CgvDoBV7GWSCj6GqJGnHHTzSZf79JyPbuKxta/lovozK8JnF1TCRqlXFhdh7Ow4WSFg+hRm4LLbdLknK6sZsfxxhMbUSO/QjF4WizXWzcER8GUwP+Rw7egM9Q1PqH+JB3A6ZqB7D46tfG5GdvQmSoby23y0fpcyew9enHg/4ihX6E3n26x3BJHLDnZMxufm74DvfVEk8Ia//R7I9mXf2Xgf+vg7Rgi8xufoBB4j1WvkYM5jQmhddBODFEHWiwX4GDedYG/LQN2YrS18tmpcGjX1aBqB7eW/nswxjYmIWeWeyh/JqpPO+g3p+zGFL+l1XKPZF+C6tGODc3J2ZgStrZa7uFjU/C7tTfRlJiDOenLlssF8nMn4ndqdcAYfxhLyh5a89+aefjs2glCo34zloT36gtrvm/aWHkT8a5+RCpOqi0HyYve3mq5utphHPBZMOEhV1fDf6KrW33uMIeRwU4nBnwc1en5T3TrSdNYl5vpThc6fFTr/KyJan12vTHuChLrJ2IqNplYF9n0ZE9wGz3CVc4wT8NZFCPrrcEn15qKqckP+j/UxxFt1e45g882nee5pvrszLqgHRyd+TxFUQIHCy0dPBkMhhYPJgB0Ol1gWUs7tZbKjbDYmK8bj8ftCXx4Zos5EFeKLZr/RqbgsNvxK/At/3H0hiavr4DT4QQFEozRfDlyBA1H5nN9+3F6XPjqz+SYzWaU+rjibFF8Zhtcf/Zf4XJ9ARh1Tbp3FJxOJ35VxWaK4IsJk7VyFYUr3NlUu+vPtisKVmsEer0eRVGI1Efy5aBxlJdXoCg6phoOc6FVO6un0+lA0VFXV4vfr2KNspJ38Y3o9XoMBhPfLN3I1NrT2O12dDod8fFxWK0RoOixGCPxfu9G9tWf7Z3l3M2VUQ3nGbSYy8rLcDld6BU9EZf/LFDhbyr4jEklR6ioqEBBITY2lsjISBRF0dbNXEC1STvbO8udzqwY0Cn1MSs6KsorsNfZtbqhb3zvF45ZyGUpl1FyugQ9ehLiE0hOTMakN2HUGbGZbPVnIBUWpi/kN1f9BoveEvhsm57tTY5oPHsxpd8UxtjGcEipP9sblxC0vKEu+Xy+Fr/Uer0+UNda+h40LGtpXaPR2On63dL6TWM6U9PvXEsxmUwmfD7fOcs923e5pfswGI1G/H5/i9/ztpbbE21ES+WeGVPTclv7XFVVbfe2tqXcpr9bK/fMbT3XZ96wrS3V37aW29nP5sxen45+Nufa1obt7Ez9bq3cc7URRiMMjLM27zWO0nqFW+41HhLUa6woCl6/itvr51RJKceOn8TrV4lPGk+07Ua8fj9ur4c6j4PcQwdxqW4Uo44BE9OIMsThV8HpdbL7hJk6Zy1ev4/Y+FgUnYLP78ePH+uAOPRpNvxAZHQqBf778aONolDxU1lZic/vR6dXSB8zikGTR2s5hOphy6nv4Ha7UFWtt1qv1wdu8w5pRgAADD5JREFUHRCVkERksrbtkZFRHFFvD9rWmtoa/D4/ik5hwNBhDMsaFVi25fTNOJ3aBBQRkVYMTfbL1oQ4YuJjUAGr1cpx/a141cahU3V1dYEei36DB5M5urEn8OvS+dTYtV4eq9WKscmJRLMSRZxNi9dsNlNsuhlnk5N8drs90GOR0C+ZrJGN5e4p/xbltVrPgtliwWxuPJtuUEwkRcWgqlq9qbDOp9bXeN2pw+HAU99DER1jY9I1jeXur7yW4mqtR91kNgX1KAMMmBQfqId1UXOp9E4KLHM6nbhd7vr3MIJJV49Gr2jfryPVV3O8Mh0Ao8mI1WoNKrf/Bf1RvToUBTyxcyh1N8bkcrlxObXE2RphZcI3xmPWab2px+0ejpRq+wOD0RB09h8gJSodxaO9N2rslRR7GnurPW4PDof2mVusFrJmTCLSoCVYp1w6cou1GPUGfVDvLUCyLROdS3stJfYSijyNowG8Hm+g58FsNjF6+kxijFoyUeY+RlRxGqqqotPrgnrWAYgdRbZD6+0yxLi42LsrsMjn9VFXVxd4D09dcBHvmrSRJ1WeU4w/vU6r3wrYoiJR8KOoKuDnYFQaf3TY0Kl+DNEevuHTjpEU/Kg+H3Z7nZYf63XUpo/gPUMqqCo1/ipmVm9D9XoBlcgIK439PSq+xATeiLShoKJaYa7+CA1nERS/isPpAFT0Oh0j0sYGbWqojiPaq13XCE2fPh2fz8fWrVuDHs/JyWHs2LG8+OKL3HnnnS2u279/fy699FJWrVoV9PiaNWu47rrr+Oijj5g9e3bgcblGSAghhBBCCNEWHckd2pVVZGVlsX///mZDDRquNRg7dmxLqwXWbXhee9cVQgghhBBCiK7UrkTo+uuvp7a2lrfffjvo8RUrVpCamsrUqVNbWVNbNzc3N2iabK/Xy2uvvcbUqVNJTU1tZ+hCCCGEEEII0THtukZozpw5zJo1i7vvvpvq6mqGDRvGG2+8wYcffshrr70WGOd3xx13sGLFCo4cOUJamja+8fbbb+f555/nxhtvDNxQdenSpRw4cIB169Z1/ZaJkCgoKAhcsHzm7FxCnIvUH9FRUndEZ0j9EZ0h9af3avdkCe+88w6PPPIIjz76KOXl5WRmZvLGG2+wYMGCwHN8Ph8+ny9o9gaz2cynn37KAw88wI9+9CPsdjsTJkzggw8+4LLLLuuarREhV1FREZieVxoD0V5Sf0RHSd0RnSH1R3SG1J/eq92JUFRUFEuWLGHJkiWtPmf58uUsX7682eMpKSmsWLGi+QpCCCGEEEII0YPaNWtcT5JZ43onl8sVuKGduZV7DAnRGqk/oqOk7ojOkPojOkPqT3joSO7Q7h4hIc5GGgDRGVJ/REdJ3RGdIfVHdIbUn95LuleEEEIIIYQQfY4kQkIIIYQQQog+J2yHxrV06ZLf7w9BJKI9mo7NjI6ODmEkojeS+iM6SuqO6AypP6IzpP6Eh5byhHNNhRC2kyV4vV7q6upCHYYQQgghhBCiF4qMjMRgaL3fR4bGCSGEEEIIIfocSYSEEEIIIYQQfY4kQkIIIYQQQog+J2yvEfL7/c0uelIUBUVRQhSREEIIIYQQIhypqtpscgSdTnfWG6qGbSIkhBBCCCGEEN1FhsYJIYQQQggh+hxJhIQQQgghhBB9jiRCost8+eWXXHPNNcTFxWG1Whk+fDj/8z//E+qwRJjbuXMn8+bNIzU1lYiICDIzM3nyySex2+2hDk2EmZqaGh544AFmz55NUlISiqLw+OOPt/jcHTt2cOWVVxIVFUVsbCw33HADeXl5PRuwCCttqT8+n48//elPXH311QwcOJCIiAhGjRrF4sWLqaysDE3gIuTa0/Y0UFWVGTNmoCgK9913X88EKtpNEiHRJVauXMlll11GTEwMr776KmvXruXBBx885x19Rd+2b98+LrroIo4ePcqzzz7L6tWrWbBgAU8++SS33HJLqMMTYaasrIyXXnoJl8vFvHnzWn1ebm4uM2fOxO12s2rVKv72t79x8OBBLr30UkpKSnowYhFO2lJ/HA4Hjz/+OGlpaTz77LOsXbuWRYsW8dJLL3HxxRfjcDh6OGoRDtra9jT1/PPPc/jw4W6OTHRW67daFaKNCgsLufPOO/nhD3/I0qVLA49ffvnlIYxK9AYrV67E6XTy9ttvk5GRAcAVV1xBUVERL730EhUVFcTFxYU4ShEu0tLSqKioQFEUSktLWbZsWYvPe/TRRzGbzaxevRqbzQbApEmTGD58OH/84x/53e9+15NhizDRlvpjtVrJz88nISEh8NjMmTMZPHgwN954I2+//Tbf+c53ejJsEQba2vY0OHr0KA899BCvvvoqN9xwQw9FKTpCeoREpy1btoy6ujoefPDBUIciehmj0QhATExM0OOxsbHodDpMJlMowhJhqi23UPB6vaxevZr58+cHkiDQDmQuv/xy3n333e4OU4SpttQfvV4flAQ1uPDCCwE4fvx4t8Qmwlt7b99y5513MmvWLK6//vpujEp0BUmERKdt2LCB+Ph4cnNzmTBhAgaDgeTkZO666y6qq6tDHZ4IYwsXLiQ2Npa7776bvLw8ampqWL16NS+++CL33nsvkZGRoQ5R9DJHjhzB4XAwbty4ZsvGjRvH4cOHcTqdIYhM9GafffYZAGPGjAlxJCLcLVu2jK1bt/Lcc8+FOhTRBpIIiU4rLCzEbrdz4403cvPNN7Nu3Tp++ctf8uqrr3LNNdfIdUKiVenp6WzevJns7GwyMjKw2WzMnTuXhQsXsmTJklCHJ3qhsrIyAOLj45sti4+PR1VVKioqejos0YsVFhayePFiJk+ezHXXXRfqcEQYKyws5Be/+AW///3vSU1NDXU4og3kGiHRaX6/H6fTyWOPPcbixYsBbUy1yWTi/vvv59NPP+XKK68McZQiHB09epS5c+eSkpLCW2+9RVJSEl999RVPPfUUtbW1vPLKK6EOUfRSZxvG0p4hLqJvKy8vD5zQe/PNN896h3oh7rrrLsaPH8+iRYtCHYpoI0mERKclJCRw6NAhrrrqqqDH58yZw/333x+YxlaIMy1evJjq6mp27doVGAY3Y8YMEhMTuf322/ne977HZZddFuIoRW/ScH1HQ89QU+Xl5SiKQmxsbE+HJXqhiooKZs2aRWFhIZ999hlDhw4NdUgijL311lt8+OGHfPnll1RVVQUtc7vdVFZWEhkZGbg2VoQHObUhOq2lsfhAYEicnEETrdm1axejR49udi3QlClTAMjOzg5FWKIXy8jIwGq1snfv3mbL9u7dy7Bhw7BYLCGITPQmFRUVXHnlleTn5/PJJ5+0up8TokF2djZer5dp06YRFxcX+AF4+eWXiYuLY82aNSGOUpxJjlBFp82fPx+ADz74IOjxtWvXAjBt2rQej0n0DqmpqeTk5FBbWxv0+ObNmwEYOHBgKMISvZjBYGDu3Lm888471NTUBB4vKChg/fr1MpWtOKeGJCgvL4+PP/6YCy64INQhiV7gtttuY/369c1+AObNm8f69eu55JJLQhylOJMMjROdNnv2bObOncuTTz6J3+9n2rRpbN++nSeeeILrrrtOvviiVffffz/z5s1j1qxZ/PSnPyUxMZEtW7bw9NNPM3r0aObMmRPqEEWY+eCDD6irqwskOfv27eOtt94C4JprriEiIoInnniCKVOmcN1117F48WKcTiePPvooiYmJ/PznPw9l+CLEzlV/FEXhqquuYufOnTz77LN4vV62bNkSWD8pKSlwzzPRt5yr7qSnp5Oent7iugMGDGDmzJk9FKloD0WVKb1EF3A4HDzxxBOsXLmSoqIiUlNTufXWW3nssccwm82hDk+EsfXr1/PMM8+wZ88eqqqqGDRoEHPnzuWhhx5q8X4eom9LT0/n2LFjLS7Lz88PHIh8/fXXPPjgg2zevBmDwcAVV1zBH//4RzmI7ePOVX8AhgwZ0ur6CxcuZPny5d0RmghzbW17zqQoCvfee69Mpx2mJBESQgghhBBC9DlyjZAQQgghhBCiz5FESAghhBBCCNHnSCIkhBBCCCGE6HMkERJCCCGEEEL0OZIICSGEEEIIIfocSYSEEEIIIYQQfY4kQkIIIYQQQog+RxIhIYQQQgghRJ8jiZAQQgghhBCiz5FESAghhBBCCNHnSCIkhBBCCCGE6HP+P7tkB9V47YMsAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "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": 14, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4c888a3309a348cda443acd66e122c8c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=7.5, description='m1', max=10.0, min=5.0, step=0.5), FloatSlider(value…" ] }, "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": 15, "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": 16, "metadata": { "scrolled": false }, "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": 17, "metadata": { "scrolled": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bacd6ee713aa483583c081d567132858", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=1, description='step', max=30, min=1), Output()), _dom_classes=('widget-…" ] }, "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*dt, 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": 18, "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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" ] }, "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", "\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": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": 20, "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", "" ] }, { "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", "Predict\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", "Update\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": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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)). 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": 22, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": 24, "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": 25, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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", 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" ] }, "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": [ "" ] }, { "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": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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XLyX7RkdHo0+fPggICMDevXvRrl07TJw4EZs3bwYA1KlTB+vWrQMA/Pjjjzh37hzOnTuHQYMGAQC6du2KiIgIzJo1q8DeP8YYY4yxgiSXy7Fx40Y0bNgQpqamMDU1RZ06dfDrr78a/FGYglZo2f9SU1Ph6uqKmJgYlC5dGp07d8aMGTPg5OQk9rl+/TpcXFzg6uoqOdbHx0eUq+p68OABunTponEeHx8fpKam4uHDh6hatWqObbpx4wbc3d0l09/S09ORmJiIlJQUGBsbw9zcXHJMWloalEolAMDKykpSlpmZiczMTNFG1Q2yjY0NwsPDRSYTf39/eHp6YtasWSAihISEwMvLCwqFAkDWtEj1zqpcLkdGRgYAiIBUl5KSAgAwMjKChYWFpCwjI0N0MLOXBQYGolWrVrhw4QJ8fHywdu1a+Pv7i+eplEolUlJSsHPnThw6dAi7du1C165dRb3VqlVDkyZNsHbtWnzzzTcAsjoASqUSaWlpICL4+vqievXqaNq0Ka5evQofHx9ERkbizp07CA4ORkBAgGhP165dkZmZKa4nOyJCamoqiEi8V+qaNWuGxYsXS97DoKAg2Nra4sSJE+L6mzVrhvT0dMydOxejRo2Co6Mj0tLSAAA1a9YUnRkAuH37NpYsWYLhw4dj+vTpsLCwQOvWrXHu3DmEhoZi8eLFSE9Px/nz57FmzRosXLgQQUFB4vi6deuiVq1aCA4OxsKFC8X22NhY7NmzB7Vr1wYANG/eHCdOnMCWLVvQr18/WFtbo3LlygAAd3d31K9fX3Ls3bt3MW/ePPTq1QvW1tbi/QOkcWhmZiZZHFipVCIxMRFXrlyBvb09PDw8JO/hgwcPkJSUBADw9vaWpDKNjY3F8+fPAQBly5ZFiRIlJPVeu3YNQFa8V6pUSVLv48eP8fbtWwBA9erVYWZmJsrevn2Lx48fAwBKly6NkiVLSo69fv06FAoFLCwsNKb1Pn/+HLGxsQCAKlWqSP5NJicn4/79+wCyptu6ublJjr19+zbS09NhYmICLy8vSVl0dLToCFeoUEHjO0L1hxBHR0eUL19ecuy9e/dEDNeqVUtS9vr1a0RGRgIAypcvL1nQUKFQiO84W1tbVKxYUXLso0ePxLRcLy8vyecaHx+PJ0+eAADc3Nzg4uIiOfbq1asgIhARrK2tJcc+e/YMb968AQBUq1ZN8j2RlJQk+cNQ6dKlJfXevHlTLM5Yo0YNSdmLFy/w6tUrAEClSpVgY2MjytLS0nDnzh0AgJOTE8qVKyc59u7du0hNTYVMJhPf/yoxMTGIiooCkPVvw8HBQZTJ5XLcuHEDQNYfjipUqCA59uHDh0hMTASQ9W/d2NhYlMXFxeHp06cAslL5Zs88deXKFQBZ3/tVqlSRlD19+hRxcXEAAE9PT8n/NxISEvDo0SMAQKlSpTT+/3bjxg3I5XLxDLG6qKgoxMTEAAAqV64s/q0DWd/79+7dAwCUKFECZcuWlRx7584dpKWlwdjYGDVr1pSUvXr1Ci9evAAAeHh4wN7eXpRlZGTg1q1bACD5jrCysoJcLkd6erp4L/g74sP7jrC0tNS4d8rPd4RSqYRMJhP3Ter4OyLLh/IdoaJ+H1GlShV069ZNMigCAJcvX8bw4cOxYcMGHDp0CPb29hrfEarvHFUcG+I7Qtf9qC6F0qmqVasWatWqJT60kydPYvHixTh69CjCw8PFP6TY2FhJJ0vF2toaZmZm4qLj4uJARFr3VW1T7ZsTuVwuec4JgLjxyL49e7kuqrJr166JEZwePXqgXLly4sMhIgQFBWHWrFkAgPPnz0vqJSKNEcDcnFPbPjm1t2nTpqhYsSI2btyI/v37Izw8XHLjrzr+wIEDcHBwgJ+fn+igyeVyeHt7o1SpUjh58qToVD18+BCTJ0/GsWPHEBMTIzn3rVu34OPjA0dHR1SsWBFLliyBsbExmjdvjlq1aon/Oev73nfu3FlSnpaWhqNHj2L48OGwsrISfxGRyWRo3749li1bhn///Rft2rUTx7Vt21ZSZ/Xq1cV29bqrV6+OsLAwJCYmwtTUFAcOHIBMJkNAQIBklLRUqVLw9vbGqVOnJPW6urrC19dXdH6ArD8IqCel0PW5Ojk5oWLFili6dCmUSiW++OILjffvXfGSmZmptWOq3iHLTqlUijJt/4NUlWk7XqFQ6KxX1R7VftllZGRAqVRK/uemrV5t/5Zzqld1rdreq9zWq21EXC6X5/s9fFe92dukXq+uayUiWFlZiZhWyelac1OvrmtVrzf7tb7rs1Fdq7aZELmtt6h8NrmJQ7lcrnUtloKIb21lOdWrOjZ7vaqbxNu3b4sbpuz4O0Kz3qISh7n9jtC2XEd+viOMjIygUCjeGd8f6ndEZmYmDh8+jH///RcKhQJ169bVuKn/UL4jstcLAKNHj5Z0qFSdWFUn8t9//0X//v2xe/duSb2ZmZkaHUhDfUfkRaF0qr7//nvJ761bt0bt2rXRvXt3rFmzRlKe03TC7GV52VcbExMTrXXmNK3xXVMeVWXq/6hUnUZVmUwmg5WVFYyMjKBUKiGXyyX1aqs/N+fUdVxO19K3b1+sWLECGRkZqFq1Kpo0aaKxT0xMDOLj4yV/FVD3+vVrAFl/sWrSpAksLCwwdepUVK5cGba2toiOjkbXrl1FJ9PIyAj79+/HnDlzEBwcjB9++AFOTk7o06cPpk2bpjGilptrAbL+OqFeHhsbC7lcjl9++UVnBklV21XHZe+oq67ZyclJUrdqe3p6OszMzEQHslSpUlrPk/2vYaq/4KrXaW5uLplKqetzlclkOHDgAGbPno3Fixdj4sSJ4v37+eef35mgQyaTwdTUVOuXi7aRUBUjIyNRpu3LXVWm7XhjY2Od9arao9ovOzMzMygUinfWq+19yqleU1NTKJVKyV9z81qvtmNNTEzy/R6+q97sbVKvV9e1ElGerzU39ar/V1e92a/1XZ+N6lq1xXFu6y0qn01u4lB9H3X5jW+FQqG1LKd6VcfmVC9/R/B3RF7qVf+vrno/xO+IdevWYfLkyWLER6V169ZYs2aNeHzlQ/2OeP36tZj5Y2lpiV27dsHX1xeRkZG4fPkygoKCEBcXh7CwMNy6dQvVqlUrkt8RefKuh7RyK6dEFdooFAqytraWJJXo1asXubi4aOyblJREAGjixIlERJSSkkIymYzGjh2rse+yZcsIAN25c0fjfIWZqOLFixdkZGREAMjV1VUjUcOaNWtE8oGAgIB8ny+3VEkdwsPDiYjo+fPnZGRkREZGRjRnzhyxn3qiil69elGJEiUoPDxc6+v27dtERLRnzx4CQCdOnJCc88iRIwSA1q1bp7VNd+7coZkzZ5KxsTENHTpUbDc3N6cJEyZo7G9jY6M1UYXqmlSSk5PJ2NiY+vfvr7Ptr1+/JqL/JYbYsWNHju+XytSpUwkAxcTEEBHRhAkTSCaT0enTp7We5+rVq+JYVaKK7AIDA8nd3V38Hh4enuP79q73TxdOVMEYY4y9P4sXL84xSVnZsmXp2bNnhm7me7V8+XJxvdru5RYtWqSRhKuoyWuiikJ7pkobIpL09r29vbFt2zZER0dL5pSq5liqpg9aWlqicuXKYru6a9euwdLSUmOucWFzdXWFn58f9uzZg+joaLRo0QJTpkxBhQoVsGfPHjH1DwCGDBlisHaWKVMGY8eOxe3btxEYGKh1n44dO2Lbtm1QKBT47LPPdNal6tFnfw5t1apVObahatWq+PHHH7Fr1y7JOmMeHh64evWqZN9jx47pnHqSnZWVFZo3b47Lly/Dx8dH50hbQejYsSPmzp2LyMhI9OjRo0DqVL2P6qNX2uh6/xhjjDFWuJ4+fYqxY8eK3/38/NC9e3dERUVh2bJliIyMxPPnzzF27Fhs3brVgC19v1TPywFAo0aNNMobN26sdd/izGCdqp07dyIlJUXyAH6nTp3w448/YsOGDRg/frzYvn79elhaWkqed+nSpQuWLFmCZ8+eiQcYExMT8ccff+DLL7/UOqxb2ObMmYPjx48jISEB58+f18iAB2QlrfD19TVA6/5n7ty5OZb36tULoaGhaN++Pb777jvUq1cPpqameP78OY4fP45OnTqhS5cuaNiwIRwdHTFs2DBMnToVpqamCA0NFQ9vqly9ehUjR46Ev78/qlSpAjMzMxw7dgxXr17FhAkTxH59+/bFlClT8NNPP6Fp06a4efMmli1bJnlg8l2WLl2Kxo0bo0mTJhg+fDg8PDyQmJiI+/fv488//9RYO01fjRo1wpAhQzBgwABcuHABn3/+OaytrfHixQucPn0a3t7eGD58eJ7qrFSpEiwtLREaGorq1avDxsYGbm5ueP36NUaMGIFu3bqJB1O1vX+MZff06VPx4G/2h+cZywnHzvsXHx+P8+fPIzU1FVWqVNFI/lIcfYxxs2bNGvEIyKhRo7B06VJRNnDgQFSvXh1v3rzBzp07sWTJEp2PDRS2jIwMnDhxAq9evUKJEiXQvHlznY9j5IZ6oprw8HB07NhRUh4eHi5+1pYjoVjGTn6Hxg4cOEA7duygtWvXEgDy9/enHTt20I4dOyg5OZkeP35MDRs2pP/7v/+jAwcO0MGDB2nChAlkYWFBXl5eGtPiBg0aRObm5jR//nw6ceIETZo0iWQyGf3888+S/V69ekWlS5cmb29v2r17Nx04cIA+//xzsrW1pVu3buVrCK8gp0edP3+ePDw8tA7/9uvXj2JjYw2yTlX26WzZZV+nKjMzkxYsWCDWYLKxsSFPT08aOnQo3bt3T+x39uxZatCgAVlZWZGLiwsNGjSILl26JJnG9vLlS+rfvz95enqStbU12djYkI+PDy1evJjkcrmoKz09ncaNG0flypUjS0tLatq0KUVEROhcp0rXNT169IgGDhxIZcqUIVNTU3JxcaGGDRvSrFmzxD75nf6nsnbtWvrss8/I2tqaLC0tqVKlStSvXz+6cOGC2Ce30/+IiLZu3Uqenp5kamoqhshfvnxJAQEBVLVq1RzfP114+t/Hqyis+8GKJ46d9ycuLo6GDRtGVlZWknuE+vXr07FjxwzdvHz5GOOmRYsW4jPU9v/b0aNHi/I///zTAC2UUigUFBwcTCVLlpTEn5OTE02bNo0yMzP1qvfJkyfiMRhbW1s6d+6cKLt27Rq5urqKc2lbY7MoxE5ep//JiPKY2iIbDw8PkaYzu0ePHsHe3h5ff/01Ll++jJcvX0KhUMDd3R1dunTBpEmTNEYdMjMz8fPPP2PdunWIjo6Gh4cHRo4ciW+//Vaj/gcPHmDMmDE4duwY5HI5GjRogODgYNSpU0djX1UqaXW2trZaHzZUH/0qCHK5HH/++ScOHz6M5ORkVKhQAf369YObm5vI9Jc9PTtjOUlJSdE7dgo6vlnxceXKFZECPXsqZ8ZywrHzfsTFxaFp06ZaH2cAsh6i//3339GtW7dCblnB+BjjpmnTpiLj75s3byRp8QFgypQp4hGQ3bt3o3PnzoXeRhUiwpAhQ/Dbb7/p3KdHjx5iHdO8CggIQGhoqPjd19cXpqamOHfunMis17p1a/z1118axxaF2MlL3wEA8t2pKi4M2anKqU0q+gQr+3jlJ3a4U/XxSk9PF53x7M8+MpYTjp33Y8iQIVizZg2ArOeA+/Tpg9KlS2PXrl1iPSVra2s8efJEMp2quPgY4+abb77BihUrAACLFi2SZLhOT09HjRo18PDhQwBZa5ap1qQ0hL1796JTp07i927duqFx48YIDw/Htm3bxL3Ghg0b0K9fvzzXn5iYiLZt2+Ls2bNay2vWrImjR49qrCsFFI3Y4U6VDkWxU8WYIXB8M8aY4cXFxcHNzQ1paWmwsbHBpUuXxHpgCoUCvXr1ws6dOwEACxYswA8//GDI5rJcunLlCj755BMAWam8J0yYAH9/f0RGRmL27NliFKt58+YF9ly3vtq0aYMjR44AANauXYsBAwaIsj/++EOMkPr6+uL8+fN6nSMtLQ2rVq3CypUrxYLO7u7uGDJkCL799lvY2trm8yreH+5U6cCdKsaycHwzxpjh7d+/Xzy8P3z4cDG6oXLz5k14eXkByFqA/uDBg4XeRm2Sk5Nx/vynfBRfAAAgAElEQVR5pKSkoFKlShqLtDLpCKQ2lpaW+Oeff/Dpp58WYqukiAjm5ubIzMxE2bJl8eTJE3FPTEQ4ffo0vvzyS8THxwMAfvrpJwwbNgylS5eGXC7HoUOHcOXKFRgbG6NBgwb4/PPP37muU0JCApRKJezt7fO+BpQB5LVTZfgUeYwxxhhjHxn15TLKlCmjUV62bFmt+xpKUlISfvrpJ4SEhCAhIUFsr1+/PmbNmoWWLVsasHVFy4oVK2Bubo7ly5cj+9iFm5sbtm7datAOFZDVYcjMzAQAODs7i45CSkoKevfujT179kj2nzFjBubNm4ehQ4di9+7dePbsmaS8Ro0aWLNmDRo2bKjznHZ2dgV8FUULj1QZcKRKoVCI+aLaVoBmTJf8xA6PVH28EhISRNx86P9zYwWLY6fgRUREoHbt2gCAOnXq4MKFC5K/3oeEhGDQoEEAgK+//jrHZALvW1JSElq2bKlzCpiRkRFCQ0PRq1cvyfaPPW4eP36MDRs24P79+7C0tETLli3RpUuX97puZl5UqVIF9+/fh0wmw82bN1GtWjV0794df/zxh171WVhY4NixY2jQoEG+21YUYoen/+lQFDtV+cngxj5unP2P6aMoZFNixRPHTsEjItSpUwcREREAstZmnDZtGlxdXbF9+3aMHj0ab9++BQCcOXMmxxGA9y0oKAiLFy8GkLUwfY8ePVC+fHmEhYWJhBoWFhZ49OgRXF1dxXEcN0Xb3LlzMXHiRABA5cqVMWzYMIwZMwZAVkdZlahi2LBhSEpKwubNm8WxrVq1wsCBA5Gamorly5fj0qVLALKST1y9ejXP0/siIyNx+/ZtmJiYoHbt2nj06JHBY4c7VTrktVPl5ub23kePuFPF9KVv7GRmZuLVq1dap5qwDx/f4DB9cey8HwcPHkSHDh00poip8/Pzw549ewz2DEpycjLc3NyQkJAAc3Nz/PfffyIGlEol+vbtiy1btgAAZs2ahcmTJ4tjOW6Ktrdv3+LTTz/FgwcPdO5TpkwZXLx4EQcOHMDAgQPF9vPnz8PX1xdA1sLB9evXx+XLlwEAp06dQpMmTXLVhmvXrmHSpEnYv3+/+HdgZWWF9u3bY+jQoXBxcSk2nSrO462Fi4sLIiMjoVAo3ut5TE1NxYuxvMhr7BARUlJS8OLFC60rl7OPQ6lSpVC6dGmUKlXK0E1hxQzHzvvRrl07bNq0CRYWFlrLO3bsiK1btxr0of7w8HDxDFWPHj0kN7hGRkZizSUAGusNcdwUbfb29jh69Ci8vb21llepUgVHjx5FqVKlNKZ+qnfEzMzMMHz4cPH7f//9l6vznz17Fg0aNMC+ffskf1hISUnBzp07MWTIkGK15BAnqtDCwsICJUuWxIsXL3L86xFjxYm5uTnKlCnDz+99xNSn5TCWFxw770+fPn3QqlUr/Pbbbzh27BjS0tJQpUoVfP3112jcuLHBs6SlpKSIn8uXL69RnlNCDY6bos/d3R2XL1/GgQMHMGzYMERFRQHISuM/atQo8cdb9fUxgawMhurU15LKvq82GRkZ6NGjB5KTkwFkjYj5+/sjISEBv//+O5KTk/Ho0SNMmzYNu3btytc1FhbuVOlgYWEh+aJgjDHGGHsfSpUqhcmTJ0umzhUVFStWFD+HhYVhxowZktGD3bt3a92XFR/Gxsbw8/PDw4cPMXr0aABZz/GpfgayshaqGBkZoXHjxuJ3pVKJkJAQ8btqna6c7N69G5GRkQCARo0a4ciRI6Kj9tNPP6Fu3bp4/fo1wsLC8PTpU60d+qKm+IypMcYYY4yxAiGXy3M1G8fT0xP169cHANy4cQN9+/YVSQS2b9+Ob775Ruyr/swNK34CAwPFYry7d++Gj48Ppk6diqFDhyI4OFjsp1QqERQUhFOnTuHw4cPw8/MTixpXqFABrVq1eue5Dh8+LH6eOnWqZOTL3d1dTCdUKpU4evRogVzf+8adKsYYY4yxj8CDBw8watQoODs7w9TUFHZ2dujXr5/I3KbLrFmzxOjUli1bULFiRZiZmaFnz554/fo1AKBFixa5uplmRZeDgwM2btwIE5OsiWw3b97EjBkzsHr1ask0UADYuHEjmjZtirZt2+LAgQMAskawli1blqvnoFTT/oCsTlR2Hh4eWvctyrhTZUA3btxARESESEfKWG5x7DB9cNwwfXHsFH9//fUXfHx88MsvvyA2NhZA1vpTmzZtgq+vr2T6VnYtW7bEli1bNJ6jUWnevDl27dqlcTPNcVP8dO7cGX///bdGCn9LS0sMHjwYwcHBsLa21jjOxcUFu3btQvv27XN1ngoVKoif9+7dq1Gunr5dfd+ijFOqGzCrCKcaZfri2GH64Lhh+uLYKd6ePHkCLy8v8Rd/CwsL1KpVC7dv3xZrYRkZGeHUqVNo1KiRznqio6MREhKCI0eOIDU1FRUrVsSAAQPQqlUrrfdTHDfF261bt3D37l1YWFjgs88+g4WFhYiZy5cv4+7duzA2Nkb9+vXRrVs3nVkstbl9+zaqV68OICuF+i+//II+ffogKSkJ8+fPx7x58wD8LyO3ITJl57XvwIkqDMjc3BxGRkacUp3lGccO0wfHDdMXx07xtmzZMtGh8vPzw4YNG+Do6IjU1FSMGTMGK1asgFKpxPz583PsVLm6uuYpoQbHTfFWvXp1VK9eHXFxcZgxYwbWrVuH+Ph4AFmfba9evTB9+nSt0/fexdPTE/369cPGjRuRkpKCr7/+GoMHD9bIHDhy5MhiEz88UlWM8t8zxhhjjOVV+fLl8ezZM5iamiIyMhIuLi6iLDMzEx4eHoiKioKRkRHevn0LGxubQmsbEeG///7DtWvXYGJigvr164sRDJb1/hgyrX5MTAyaNm2KW7duaS13cXHBiRMnUKNGjTzXnZaWhr59+2Lnzp0aZUZGRvj5558xYcKEPNdbUHjxX8YYY4wxJrx69QoAUK1aNUmHCshaTF6V3U+pVOLNmzeF1q7jx4/jk08+QYMGDTBkyBAMHDgQNWrUQIsWLXTexH8M3rx5g1mzZqFy5cowMTGBjY0NunTpguPHjxd6W4YOHSo+C3Nzc/j7+yMwMBD29vYAsjpd3bt3z9XaVNlZWFhg+/btOHnyJAICAlC7dm3Uq1cP33//PW7dumXQDpU+eKSKR6oYY4wx9gErU6YMoqKiYG5ujqioKDg5OYkyhUKBChUq4NmzZ5DJZHj79q1Iq62va9euYfny5fj777+RmpqKKlWqYODAgejZs6dYJPbAgQPo1KkT5HK51jocHR3xzz//wMvLK19tKSqUSiWOHDmCffv2ITExEeXKlUNAQACqVasm2e/OnTto1aoVnj9/rrWeSZMmYdasWYUyevXo0SNUqlQJRARnZ2ecO3cOlStXBpDV8WvatCmuX78OADh48CDatm0rjo2JicG6detw/PhxpKeniwWt69Wr997bXVDy3Hegj4RCoaD4+HjJS6FQGLpZjDHGGGPv1ahRowgAAaCePXtSUlISERFlZmbSuHHjRFm7du3yfa758+eTTCYTdaq/ateuTS9evKDU1FRycXER2+vUqUNLly6lOXPmUIUKFcT2hg0b5rs9RcHNmzepRo0aWt+T3r17U3JyMhERpaamUsWKFUWZTCajWrVqSd4rALRu3bpcnTctLY02b95MHTp0oE8//ZRat25Nv/76KyUmJubq+BUrVohzTp8+XaN8+/btovzbb78V27ds2UKWlpZar9ff359SUlJydX5Dy2vfgTtVBhQZGUlPnz6lyMhIg7aDFT8cO0wfHDdMXxw7xdu9e/fI3Nxc3Nja29tT69atydXVVXLD+/fff+frPFu2bJHUZ2ZmRk5OTpJtvr6+tGHDBvH7F198QXK5XNSRkJBAVapUEeWXL1/O7+Ub1JMnT6hkyZJaOxiqV4cOHUihUEjeF29vb7p//z4REUVHR9O3334ryqpWrUpKpTLH8969e5cqV66s9Xyurq50/vz5d7Z93rx54pht27ZplF+9elWU9+/fn4iIDh48SEZGRjleb48ePd557qLwnZPXvgPPfTOgmJgYvHz5EjExMYZuCitmOHaYPjhumL44doq3ypUrY9u2bTAzMwMAvH37FkeOHEF0dLTYZ/HixWjZsqXe5yAiTJ8+Xfw+YcIEHD9+HIcOHUJISAjKli0LAAgPD8fWrVvFfmPHjoWxsbH43dbWFiNGjBC///PPP3q3qSiYNm2aeKatZs2a2L59O65du4b58+eLhCD79+/HgQMHsG3bNnHcypUroVQq8dVXX6FcuXL45ZdfRNndu3dx6tQpneeMi4tDq1atcP/+fa3l0dHR+OKLL/D48eMc216uXDnx88GDBzXKVYv+qvYlIowfP148X9W7d2/cunULb968wcqVK8X6Vtu3b8eFCxdyPHdx/M7hThVjjDHG2Aeuc+fOuHDhAvr37y8W8TU2Nkbnzp1x8uRJjB49Ol/1X7x4EXfu3AEANG7cGHPmzIG1tTVkMhk+/fRTSadAtR8AODg4aNTl6Ogofs7IyMhXuwwpMTFRdCDt7Oxw4sQJ+Pv7o2bNmhgzZgzWrl0r9l29ejVevnwJAJDJZLCwsEC9evWwbds2ZGZmatTdv39/nUlFfv31Vzx9+hQA4OXlhZMnT0KpVOLixYtiUd+4uDgsWLAgx/Z/+eWXIiHFxo0bsWjRIqSmpkIul2Pbtm2YOXOm2Ldv3764dOkSrl69CgD49NNPsXnzZnh6esLR0RHDhg1DcHCw2F/92j8UnKjCgIkqkpOTRapMbatTM6YLxw7TB8cN0xfHzodFLpcjISEBNjY2YvQqv8LCwtClSxcAQKNGjVC3bl1UrVoVXbt2ha2tLUxMTMTisO7u7njy5AkA4Pvvv8eiRYtEPUSENm3a4O+//waQNRrSrl27AmljYbt8+TLq1KkDIKvTsXHjRkm5QqGAk5MTEhIS4O7ujipVqojrdnNzQ1RUFACgRIkS6NKlC/bt2ycZXezduzdCQ0M1zlu1alXcu3cPMpkMd+7cQZUqVURZbGwsypcvj5SUFNja2iI2NlasA/X8+XOEhIQgIiICRkZGqFevHhISEjB79mxxvLm5OUxNTZGUlCS2BQQEYNOmTdi6dSt69+4NAJg7dy7Gjx8vadfr169F9slWrVrhyJEjOt+7ovCdw4v/FiP8PyamL44dpg+OG6Yvjp0Pi4mJiSQDYEG4ffu2+PnMmTM4c+YMAGDixImYN28ePvvsM1FeqVIlREVFITMzE0uWLIGpqSkGDBiA5ORkLF68WHQsypUrhzZt2hRoOwuT+rTGlJQUjfLMzEwxCmVsbIxu3bqJa1d1qHx9fXHkyBHs3bsXv/32G4CskSwiwvbt2zF//ny4ublJ6n348CGArOmG6h0qIKuD1rRpUxw8eBCJiYmIjY1FqVKlMHPmTMyYMQMKhULs+8cff8DU1BTNmjXDiRMnAADp6elIT08X+/j5+WH16tUAIDrNAPDixQuN61Xfpr6vNsXxO4dHqjilOmOMMcaY3o4dO4Y2bdpIbsiz8/T0FB2vZcuWISYmRvIMljbbt2+Hv7+/xvakpCTcvHkTRARPT08xRa2oSU9PR+nSpREXFwczMzNcv35d0slZunSpmHYZEBCAFStWoGrVqpLRqDp16iAlJUXSaW3ZsiWOHj0KAFi/fj0CAwMl57Wzs0NiYiKcnZ0RFRUlRqKArJFAb29v3LhxAwAQHx+PlStXYuLEiTley6RJk/D8+XOcO3cOCoUCPj4+GDx4MNq1ayfSu8fExKBs2bLIyMiAvb09IiIi4OHhASDrPrxXr17YsWMHAOCLL75AZGQkYmNjUaJECXz11VcYM2ZMgY2cFgROqa5DUcz+xxhjjDFWnCmVSvL09NTI8CaTyTSyCwKgEiVK0Nu3b0mpVNKUKVPI2NhYYx9ra2tav369xrmio6Np6NChZG1tLfa1sLCgAQMG0LNnzwxw9e82ZswYybVPnTqVtm7dSv369ZOknj979iwREZ0/f55MTU11Zs4bOHAg/fbbb+L3X375ReOcXbp0EeXBwcGSMvUMjfXq1aPY2FiysLAQ28aMGUN37tyh69ev05AhQ8R2Z2dnSktLe+f19uvXTxxjZ2dHI0eOpFmzZpGPj0+OGQEBkKWlJe3Zs6dg3vgCkNe+A49UGXCkKiUlRcwXtbKyMlg7WPHDscP0wXHD9MWxw3Q5efIkmjVrBiBrqpq9vb2YwpadmZkZDh8+LPYHsp7jWbt2La5evQoTExM0bNgQ/fr100hg8ezZMzRp0kQ8i5Vd6dKlcfLkSY3pbob29u1bNGrUSIwMafPtt9/i//7v/8TvQ4cOFVPqVBo0aIBRo0ahZ8+e8Pf3x65duwAAe/bswZdffinZ98SJE2jevLn4vVmzZvj8889x8eJF7N+/X2zfvHkz4uLi8O233wIAhg0bhpUrV0rq6tq1K3bv3g1A98ihutevX6NRo0a4e/dujvvpIpPJ8Ndff6Fhw4YG/87hkSodiuJIVUREBIWHh1NERIRB28GKH44dpg+OG6Yvjh2my6JFi8RIw+rVqyk9PZ3mzZtH5cuX1xiJ6Ny5s97nad68uWT9Kzs7O436PTw83rl+kyHExMRQt27dNBZFtre3p59//lnjfvTKlStiH1tbW1q/fj3J5XJKTEykWbNmibKSJUtSenq61nNOnDgxx1GhwMBAUiqVNGLECLHtn3/+0ahn586dotzKyopMTU2pQoUKNGXKFHrx4oXWc7969YoCAwPJzMxMck5bW1vJ7xUrVqS5c+fSsGHDJKNzzs7OdPHiRYN/5/A6VYwxxhhjrFConqcBsrLZmZmZYdy4cXj48CH27NmDqVOninJ9k2NcvXoVx48fBwDY2NggIyMDCQkJGvs9fvwYTZo0ARWxSVjOzs7YuXMnHj58iJUrVyI4OBhbt25FZGQkJk2apDHy4ePjg27dugHISsvev39/2NnZwcnJCT/++KPY78cff9T5DNLPP/+MtWvXaozclS1bFgsWLMDatWshk8kkx8fGxmrUoxqlArJGrDMzM/Ho0SPMnDkTNWvWRHh4uMYxLi4uWL9+PSIjI7F3715s374df/31l2TUx8fHB9evX8f48eOxcuVKyTpYr1+/Lpbrk3GnyoBKlCgBFxcXlChRwtBNYcUMxw7TB8cN0xfHDtOlXr164udVq1aJdaWMjY1Ru3ZtXLp0Seu+eaF+w62eylubM2fOYOTIkXqd533z8PDAsGHDMHbsWPTq1SvHDHcbNmxA27Ztxe+qDo3KpEmTcrxOIkLnzp0RERGB8PBw7Nu3D2fPnsWjR4/www8/iI5c06ZNxTELFiyQrAu2b98+Scp2S0tLeHt7i6yGsbGx6NChg9bOGJDVmfTz84O/v79Y6Fhl9OjRYr00IGuKonoHb/PmzUhLSytW3zn8TBVn/2OMMcYY0wsR4ZNPPhGLvvr6+mLkyJGwtrbGunXrxDM8tra2iIyMhK2tbZ7PMWXKFMyaNUtje+3atREUFITo6GiMHTtWbJfJZHj27BnKlCmj51UVDUqlEgcPHsSaNWtw48YNmJqaonHjxhg+fDhq1KiBXbt24dChQ0hOToa7uzv69+8Pe3t7LFy4EJs2bUJ8fDxkMhmaN2+O7777Dn5+fpKRRSBrzbJKlSpJFgvu3bs3IiIi8Mcff4iMjvb29jh48CA++eQTxMbG4quvvsLp06cBAHPmzMGECRNyvJarV6+iVq1a4veBAwdi+vTpKFu2LK5fv45u3bppPIclk8nw9ddfY9myZTA3N8/3+5lX/EyVDkXxmSrGGGOMseLu7Nmzkgxy2l7asvnl1urVqzXqq1y5MqWkpBAR0YQJEzTKZ8yYUVCXV+ScPXuWypQpo/V9zilzYLdu3bTe+544cYLMzc3fmZ0P//85sNGjR9OFCxfENm9v7xzb+/btW/L399eoy9jYmLp160YlSpTI8Zz+/v4GeVaOs//pwCNVjDHGGGPvx5kzZzBw4ECN0YZSpUphyZIl6NWrl951x8XFwc3NDWlpaWLbtGnTMGHCBGzcuBEjR46UTFsDgC+//BJ79uzR+5xF1fXr19GgQYN3ToPUpXTp0vDy8oJSqYSXlxcGDx4Mb29v/PvvvwgMDMx11r6qVasiKSkJUVFRKFmyJF6+fKl1v9TUVDRv3hz//fdfrttobm6OH374AYsWLRKf+bFjxyQZDQtDXvsO3KniThVjjDHG9KBUKnH48GHs2bMH8fHxcHNzQ58+ffDpp58aumkGoVQqcfz4cZw9exZyuRw+Pj7w8/MrkAVdJ06ciLlz54rfjYyMYGpqivT0dK376+pUvXr1Ctu2bcPjx49hY2ODtm3bokGDBhrT4vIiIyMDYWFhkoVxe/bsqTHV8f79+3j+/Dns7e3h4+Mjnk3Ki86dO4vratSoEaZPn45KlSohKChIklRCnUwmyzF5x+DBg7Fs2TLUrFkT9+7dA5DVsdH13mZnZGSEgIAAjBo1SiP2Fy9ejKCgIABZixJbWlrq7ICpLFy4EEFBQVi/fj0GDBgAAOjZsye2bduWq/YUFJ7+p0NRnP53+/ZtunbtGt2+fdug7WDFD8cO0wfHDdMXx46mO3fukJeXl9bpSu3ataO4uDhDN7FQpaSk0K5du2jJkiUUEhJCz549K9C4kcvlVLFiRZ1TxLJPIcs+/U8ul9OYMWO0To/z9fWlu3fv6tWu/fv3a13k2NbWllauXCn2qVevnqS8fPnytHDhQpLL5bk+V3R0NBkZGREAKl26NCUnJ4uyRo0aabRh/PjxFBsbSxs2bHjntL5OnTqJn7XFdf369d9Zh0wmkyxGrFQqqWrVqqL8v//+o4yMDPLz89N6vLGxMc2ZM4eUSiXdvn2bLl26JNKyV69eXa/PJz/y2nfgTpUB8bofTF8cO0wfHDdMXxw7UpGRkVS6dOkcbzAbNGhAGRkZhm7qe6dUKmnBggXk5OSkcYPctm1b+vvvvwssbu7evSs6Fernyf7em5iY0PPnzyXHfv311zl+Xq6urvT06dM8tefw4cNaz6/+6tWrV47ldevWpfj4+Fyd7+TJk+K4b775RlLm6emp0akjyupMlitXTuO8I0aMoIULF2qsJQWA2rRp884OVPb3W/33cePGUVpaGr19+1Zsq1evnqS9kZGR1KNHD8lx6p9ZREQEnTp1StTt5eWVp8+mIPA6VcWIsbExjIyM9Br+ZR83jh2mD44bpi+OHam5c+fixYsXAIDq1atj165duHfvHlatWgVnZ2cAwLlz57B161ZDNrNQjBs3DmPGjMGbN28k2xUKBQ4dOoThw4cjJSWlQM5VpUoVrFq1SuM82c2cOVOS+e/cuXMICQkBAJiYmOCHH37A8ePHERISItZxio6OlqwB9S5KpRLffPONOH/r1q2xb98+HDt2DAEBAWI/9Slr9vb2GvVcuHABjo6OaNmy5TufOzI1NRU/x8fHS8pKliwp+d3BwQEAcPToUTx79kyjrpcvXyIoKAiTJ0/WKEtOThY/BwYG5tgmICuDoLrg4GDUqFEDd+7cEduyf3e4ubkhJCREMpVOPWW8sbExdu3aJequX7/+O9thcIXY4TOoojhSxRhjjBlaZmYmhYWF0dChQ6lPnz40adIknuaXg/T0dLKzsyMAZGlpSS9evJCU//333+Iv740bNzZQKwvHf//9Jxlp+Oqrr2jjxo00efJkcnBwkIxcFKTDhw+Ti4uL1il3ixcv1sgUFxgYKPZZtmyZpCwmJobs7e0JAJmZmdGDBw8oOjr6ndPy1D/nhg0batxTqp8TyMpWmL292l7ff/+9zkx3SUlJZGtrSwDIwsKC7t27J8qWL18uqcfHx4eIiJYsWaL1PP369SMiolu3bmmUlSxZUvw8YMCAPI1aqb/c3NyofPny4vfBgwdT7969adCgQbRt2zY6evSoxmjh7NmzaceOHRQYGEgymUyUXbhwIXfBUYB4+p8O3KlijDHGpC5dukSVKlXSekMUEBAgUlZ/TFJTUyk0NJSCgoIoKCiItmzZQqmpqaL8wYMH4j3q1KmTxvFKpVKku3Z0dCyUNr9+/ZrmzJlDNWvWJCcnJ6pYsSJ9//339ODBgwI7h1KppKioKHr69CllZmYSkbTjEBwcLNn/1q1b4vklJycnSktLK7C2EGXd1/3111/0448/0tixYykkJIQSEhK07luzZk0xTU39s1TR1nFwcXGh8ePHU0xMjNY6FyxYIPYNCQnRKD9z5owoV5+y+K7pggBo3rx5Oq971KhRYj8HBwcaP348rVq1itq2batRT61atUQnLPsrNDSUiIiOHz8utmlLbZ59umVOrw4dOmhsa968uc791TtNOb2CgoJyExIFjjtVOnCnijHGGPufu3fvSkYTtL06depkkPVhDOX3338nZ2dnjffB2dmZtm/fTkRET548EdtbtGihUUdmZiY5OjqKG/P37eLFi5KRBfWXmZmZaLe+UlNTaf78+ZIkEY6OjhQUFEQVKlQgIGvURD1pgkrXrl3FMVeuXMlXO/LD29tbdKqytzMlJSXH5+Pc3d3p4cOHGnUuXLhQ7LNq1SqNcvXnn7R1pGxtbenzzz/Xek5HR0et7ycRUVxcnM4EKbl9ubm5UVpaGmVkZFCrVq3E9unTp5O1tXWe6lLvdHl4eGhc87vWL1O9x9o6dJaWljR79myDfQdxp0oH7lQxxhhj/9OzZ09x81KnTh3au3cv3bx5k4KDgyU3VocPHzZ0UwvF9u3bc7zxk8lktGPHDlIoFGJKk0wmo/DwcEk9q1atEsd07tz5vbY5JiZGo0Pl4eEhSRxgYmJC58+f16v+pKQkatKkyTtvqG1tbbVOl1Mfybp48aJebbh58yatX7+e1q1bR5cvX9arDvWRqCVLlkjK+vfvL7mmunXrUuvWrSVZAi0sLMjc3Jzs7Ozoyy+/pCNHjqfMBecAACAASURBVNA///wjysuXL0+rV6+mGzduEFHWqF737t1zjKe5c+dSqVKlRBxlL1+yZAl988035OrqSmZmZlSuXDkaM2YMPXnyhF6/fk29e/fWSBBRpkwZmjZt2jsX0+3ZsydNnz6dqlWrJraVLFmSUlNTKTw8nGrVqpXrTpXqGrK/h9mzBeZ2VCr767vvvuNOVVFTFDtVL1++pKioKHr58qVB28GKH44dpg+OG6by+vVrcUPm7OxMb9++lZRv2rRJ3NR07979g4+dtLQ0SefEz8+PDhw4QPv376eOHTtKbiDT09Np9uzZYpuNjQ398MMPtGHDBo3nQI4cOfJe2z1r1ixxrgYNGohnbGJiYqhPnz6irGvXrnrVP3jwYMkNrq+vr85RnTVr1kiOffPmjXhWydzcPNcZ7lSuXr1KTZs21ThPvXr16Ny5c3mq699//xXHGxsb08iRI+nw4cMUHBws+bzatWsnOUZb+nXVq2XLllrLq1evrjW9efZXixYtxM+qET/1l65pgjY2NvT3338TUVYGvU2bNtHKlSvp4MGDYlpmbGwsjRgxgmxsbHLVcTEzM6O//vpLXLtSqaSzZ8/S/PnzJZ0jCwsLjY6ctldoaKjWNPPGxsbk5eVFAwYMoKlTp2qMClesWJEGDhxIn376qWT7tm3b8vR5FxTuVOlQFDtVnKKW6Ytjh+mD44apqD/vMWTIEI3yjIwMMW3H09PToLHz7NkzmjJlCjVs2JDq1KlDPXv2pL/++qtA/3r9+++/i/ejQ4cOkrqVSiW1b99elG/fvp1SUlKoQYMGOd5YDh48+L3/hV2VRlsmk2lMUUtLSxM3tsbGxhod53d59eqVSLdtZWVFoaGhWqdGqo9ETJkyhW7fvk179uyhTz75RJR17NgxT+e+fPmySAai7WVhYUEnT57MU53Dhw/P8fOytrYWKb0VCoXGjb2Dg4PW5BjvemkbycneobGystLZkbKwsCBvb29JB87GxoYePXr0zmtOSEigU6dO0dGjRyk8PJx69OihcY5GjRrR2bNnddbx9u1bMZ0VyHruKqfnwsaPH0/jxo3L8ZpdXV3p8OHDkjTw7du3l4x2Tp48WZTVr18/T591QeFOlQ7cqWIfEo4dpg+OG6ainrWtd+/eGuUJCQnixqlmzZoGi52QkBCt6+gAWWvp6EpMkFfjx48X9e7Zs0ejPCwsTJRPmDCBiIgSExPp66+/1hitsLe3p5kzZ+b5HiM5OZnWrFlDn3/+OVWsWJFq165NU6ZMocjISJ3HqJIQVK5cWWu5+hRP9UxxubFx40Zx7OjRo8nHx0dyY926detcdSrs7e1p3759uT6vUqmUTD+rWLEizZ49m4KDg6lGjRpiu7u7uxiZUSeXy2nv3r301VdfUbNmzahLly60ceNGSkpKokmTJul8xmfBggWijgMHDmiU9+jRg3bs2JHraWympqb0+++/08OHD3UuWmxiYiIZTcoeS3369BGLSL98+VLSuf/+++81rj0iIoK2bNlCO3fu1Bk3UVFRFBYWRjt27KCbN2/m6jM5cuQIWVpa5ni9Tk5OFBAQQO3atdNaPmTIkByf4SxXrhxVrVqV/Pz8aM+ePXThwgXJ+/bq1atctbUgcadKh6LYqYqPj6e4uLg8D4kzxrHD9MFxw1Syp2bOniVOfVrZkCFDDBI7e/fu1bjxyn5D265duwIZDZowYYKo848//tAo37VrlyifOHGipOzly5e0fv16Wrp0KW3fvp2SkpLyfP579+7pTLltZWVFYWFhWo8rW7as+AyzfzZKpVKS0CCvUzeXLl0q6Uiqfq5Rowa9efOG7t27J7bpGrmoVKkSnT59Ok9xc/r0aXF8zZo1Je9nenq6ZGpd9vfl2bNnkhEy9ZednR21bt2a/P39qXfv3hQUFCTpdA4cOFDU07dvX62dAm3T6dq3by95BtHc3Fz8/O+//xJRVrKPvKYmd3R01Mi+GRMTI+ovVaqU2H7ixAmqW7eu5HhjY2Py9/fXWAQ5L5RKJZ06dYqmTp1KgYGB5OPjI/k3qH6t2l7q70v//v1zHOnM/mrSpIlk6u39+/f1vg59cadKh6LYqWKMMcYM5dtvvxU3LM7OzvTTTz/Rpk2bJDeaAPRODpAfSqVSZGwDQIMGDaLnz59TRkYGbd26VTId6Z9//sn3+dQ7Ta1atZLcHygUCmrZsmWOna78SExM1BjJUD2LpHqZmppqTTYxYsQIyXukGrlRKpX0yy+/iDJ9pk+pJ+5QpSQHQJs2bSIiotWrV4tt2kZ/ypUrl+cpekQkeV4t+3NaRER//PGHKFdPtZ2YmCiZTvaul4ODA4WGhoo/LhgbG9PmzZtJoVBIMuKpXrVr19Zaz+bNm+nBgwdiuqL6M0fz58+XtH3Xrl3k7u6eq/aZmprS9evXNa5ffVqiUqmkvXv35vicU7ly5ejZs2f0+PFj2r17N4WFhdHTp0/f+Tlcv35dawfV0tKShgwZQhcuXKCUlBRatGiRWEIg+2vt2rV5SsmevXOuui4TExNKTEzMcyzlF3eqdOBOFWOMMfY/sbGx77wJzT4qU1guXLgg2lCvXj2N0aj169eL8gEDBuT7fBkZGeTm5ibqbNGiBf3++++0bds2yTo7ZcqU0TrlTKFQ0NOnT+nhw4eUnp6ep3MvW7ZM1F+jRg3677//iChr1MXf31+UaVsT69atW5Ib6vLly1NAQIBkqh4AvdKqJyUlaX2u6cyZM3Tq1KlcPV9kbm5Op0+fztN5p02bJo7ftWuXRrl6qvJvvvlGbFcfWatQoQL9+eefNHLkyHfexPfu3Vuyzc3NTTzjlJvX/v37iUj6RwrVa8yYMbRlyxbavHkzXbt2jYiyOrzbt2/X6Dhre1WvXp327dtH48aNo9GjR9OSJUvE6I+DgwMlJiZKptR5e3vTuHHjqF27djleg5GREfn5+dHdu3e1fgZ3794lJyenHNs2YcIEev78OU2bNo3atGlDdevWpU6dOlHjxo3FPleuXKH58+fn+r3U9WrZsmWeYqigcKdKB+5UMcYYY1IvX76krl27akyrK1GiBC1evNhgqYzVR0lmz56tUf727VtR3qxZswI55759+3L8q7qRkZHGs0EpKSk0d+5ckWL9/7H33WFRXN/7d2GXpYM0EUGwo6CoiWLFjopBsSsqFlTsHWtEjbFgIRo19t67MbbYa9RYEhHBhlgpgkhR+u77+4Pf3szdmdldECP5fvZ9nvMoc2fuzNy5O3POPee8h5BCL9PYsWMRHx+v03kbNGhAj1X3Cubm5lJjz8DAAO/fv0dMTAwmTZqEdu3aoWPHjujevbvG6540aVKxn+Ps2bN5/WkikCCkMMyL601xd3cv0vm5pCHdunXjtQ8bNoy2r169mm7n5mH99ddfeP78OZ3XhoaG1Pg0MTGBv78/3dfDw4NhSiyKGBkZ0XpSCxcu1Lp/o0aNcPPmTURGRtJtxaUaHzRoENauXcuMs7a6c+piY2Mj6A3r1KkT3admzZrYvHkzfv/9dwwbNoy5Xm1MgGFhYQAgyOKoEk0MiyoxNjbG9evXizp9Pxt6o0oEpdGoys3NpaKHHkWBfu7oURzo540eYoiLi8P69esRERGBQ4cOITs7m2n/t+fO8ePHqUIVEhLCa79//z5t9/PzK9HzqvKUuOLi4kI9EipkZmaicePGoopg+fLlRT0BXKgY+sqVKyfYzq31pO5V4Sq3np6ejMLboEED7N27F0qlEgqFAtnZ2UU2rgoKCnh1nDSJRCJBw4YNsW7dOtSrV49uL0qts+zsbKbOUkhICKKiovD48WNMmjSJbjcxMaEkDjk5OZTQRCqVombNmoyxGhYWxhhSL168YHKQ/vjjDxw9ehS+vr6ChoJcLmdCTrkyadIkPHz4kCHR0GYghISE8LZbWFigc+fOqFq1qk79BAUFiYYkFkVcXV2xefNmHDhwACkpKXjz5g010h0dHXmskVxPojaRyWRYunQpunXrJrrP5MmT///5JDCt0Rx2/qFw7L+Mt1/lypX/db1db1SJoDQaVXomLj2KC/3c0aM40M8bPYqLf3vufPjwgbKNmZqaMixl+fn56Ny5M1W2fvrppxI9d35+Po4dO4bZs2dj9uzZOHbsmGDIX3BwMGNMtGzZEp06dWLyizw9PbXqGiqCCplMhtTUVF67JsNNXdatW4fo6GjK/Pb777/Dz8+PqUk2bNgwPH78WOfxUCqVOHnypGAtJU3CzbMZM2aMzucDgI0bN2rtf9GiRQCAN2/eMPl3QvLs2TPGiHr37h2WL19O/964cSOAQuNMlWMll8uLRKwgJC4uLpg9ezYWLlyIGjVqMAYUdz8fHx9qIAIQNeC+tMjlcrRr144xeNTx+vVr5pgxY8YgNjYWb9++xQ8//KCRbp0QAgNTa5hWawyLbzrBskFX1BsRAccBy+E8eidcpx6nIrUuXGzgekZPnjxZpHn0udAbVSLQG1V6/F+Cfu7oURzo540excXXmDvDhw9nlL2goCBMnTqVWcm3tLRklFEAePbsGSZOnAh3d3eUL18ejRs3xtq1a2mYVkkgKSmJhi2ZmZkxJBLx8fFMrtrp06c19jV27Fi6b0hICKObHDx4UKsSXL16dUaJVxmA06dP13hs8+bNNdYnUkd+fr5Gr5WhoaFoTSZu7pOuWLlypWBomEQiwdixY6FUKpGXl8eE/XH34f7NDRn08PCAUqlkPC7btm0DAIbRsEuXLnjz5g3GjRunU/6TulStWpXx8uTm5sLHx0dwX27Y5x9//CE6vgEBAUzun5BoyqVq0KABkyOoTUJDQ3nPZcuWLbTd1tYWAFCgUCK/QIFPufmYPHmyWj8SyOxcYVK5Aey7zkKFKccY44krLuP3o/WEFajbrheIQeFCQPfu3WlfU6dOLfI8+hzojSoRlEajKi4uDs+ePdOpgJseenChnzt6FAf6eVN6kZubizt37uDKlSt4/fp1ifT56dMnPHz4EI8fP0ZeXt5n9fU15k56errG8CaZTIbffvuNOWb79u2iORpVqlThUccXF1yijEmTJvHaDxw4QNuHDx+usa9Hjx4xq/vVq1fH6NGji6T8ckPW5s+fr7UwsUoMDAywffv2It379evXERQUxJyzcuXKtGbY9evXmRwzQv7xBBUFiYmJoh4oQ0ND/PLLL0z+lbpBJ5b7tXbtWqSmpjKeNBVdd1xcHN3Wpk0bei15eXl48+YNnj17Jjq/DAwMmJDHn3/+mXdP3LBWruG3YMECZGRk4NixY6L9e3t7M9T2xZF69eoxRXW1Sbly5XjhfypmRAMTS3gNXQKPsNOoMuMENYzqzTkJp2Hr4TRkDTxHr0ON0H0846ncwBUo2/tHlBu8CrYdJ8KkSgMYlasGiZSlaLezs8PmzZvp30K1ub4k9EaVCEqjUaWHHnroocf/NrKzszFr1iwek5qvry9u3LhRrD7fvHmDkJAQpkaMg4MDvv/++69CS/w5SE9Px7hx43jhUi1atOCxyl24cIEhbDA0NOSNa9WqVXm1f4oDbuiYkFHy5MkT2t68eXOtFNabNm3SSFigbiA0b94cPXr00EoaoS5ubm48VjepVCpIVqAJd+/e5fUdFBSEK1eu4Ny5c2jYsCHdbmJiIhg+KQSlUonr169j3LhxvNA7KysrXmhZ/fr16f/PnDkj4CVhxcjICAEBAUzeXPv27en5CwoKqLElkUhw9+5d5vq4xBCurq5o2rQp2rRpg/nz5yMxMZEhq9izZw/v/rhFt4tKKlESUrNmTZ1zv1Ti4eGBDRs2YOHChWjevDkMTCxh6d0NFSYdEfU4qUuNWafQdtlFuIeshFHZyjqfe//+/Rg8eDD9e926dUWap58LvVElAr1RpYceeuihR2lCVlaWVlYsdU+MNsTExFDiAyGpW7cuL1zuv4DMzExcunQJp0+fFi0CyvXsBAcHIzk5GQBw+/ZtJhyvOF4TdXDZCQcOHAigMNfkwoULOHbsGEOSoFLQ/fz8cP/+fdE+z549ywsPs7OzQ8+ePRmvUEREBD0mNTUV3t7eOimoBgYGuHjxIsM8p5Jhw4YV6f6FCjOLSdWqVXXqMz4+ninsqz5v79+/j5kzZ6JatWp0uyp/TSqVQqlUIiEhgSG50CYODg68+TRv3jzabmFhgdDQUGzfvh0DBgxgDN9z587x7oFbQ6tVq1Y4c+YMbty4QT3F48ePp+26Mg7a2dlREo7PlUaNGoka7zdu3MC5c+eYxRg6f2VyGFesBxvfkXCZePAfg2nMTpz5Ow4vUz7hefJHxCZ+QP0OvSAv7w7jCrUxbe0RHL73GunZhfdfUFCAAwcOoFy5cswYi10vl0XSzMyM5zX70tAbVSLQG1V66KGHHnqUJkydOpUqDIaGhujSpQvGjBkDNzc3ut3c3BwpKSk69adQKODh4cEoIT179kTHjh2ZFf4+ffp84Tv79/Hq1StGiS8oKGDab9y4Qdt9fHyK1O/9+/eRlJTEbP/48SPNs5FIJExxXE1iZmam1QO5YsUK0dwkQgrD0rjhnOoGjrm5ueixqntXKc4qBdve3l7nMQGAS5cuMYqvkCKuEl9fX639paenF6lwr5DExsZi6NChOu9vbGzM80QBhWGz6kaxugwdOlSQSTE3N1cw/8re3h4tWrSgnlSZTIbXr18z5BVfU8zMzGj4ZpeuXWFUrhpMKjeARe22KD98Ez98b/Aq2HWaApm9GxwdHTF9+nTMnTuXyXfk5vclJCRgx44d+OWXX3D48GHI5YVhfjY2NsjKysLPP/+s9RqXLl1apDlaEvhXjaqMjAyEhoaibdu21E07e/ZswX3v3r2L1q1bw8zMDFZWVujSpYtobPPPP/+M6tWrw8jICG5ubpgzZ45gPHhSUhIGDBgAW1tbmJiYoGHDhoIrB4DeqNJDDz300KP04NOnTzT8RyaT0YKvQGH+RkBAAFUmFi9erFOfp0+fpsfUrFmTMQQePHhAz2doaIg3b96U+D19TXCNJjFSBJWyW6lSJY19KZVK7Nmzh2GLUxkz58+fp/vNnTtXqyIok8kwevRouLi4MMomV6fJzc1FdHQ0Hjx4gIiICJ2U4Bo1amD+/PmYPn06HBwcmDaVwsoVLnnByZMnedtlMlmRxvvp06f0WIlEgkWLFmHNmjUICQnB0KFDGePex8cHAQEB6N+/P/bv3y+oz/3444/M+HAXFjQZbFxp0qSJaL0uqVQqSOsdHh4ueH8ZGRkYOHAgL7/JysoKP/zwg6j+uHLlSp2uVVW/6fnz58UiwfgsMZTBwNgCxm51YVyhNqS2zggYMhEzNp9CtyW/osK4PcJhfKO349tRy9Ft5HSG4VJITExMcPnyZXz48AH9+/cXrWfVoUMHOnbLli0TzCczNDTE/Pnzv0rNvH/VqIqLi4OVlRV8fHwwZMgQUaMqJiYGFhYWaNasGU6cOIFDhw7Bw8MDTk5OePfuHbPvjz/+CIlEgunTp+PixYtYvHgxjIyMMHToUGa/nJwceHp6wtnZGTt37sSZM2fQuXNnSKVSXLp0iXcNpdGoevbsGWJiYkRDGfTQQwz6uaNHcaCfN6UHFy5coEpD3759ee2PHj2i7a1atdKpz1GjRtFjDhw4wGufMWMGbV+/fn2Rrre0z52oqCh6b61bt+a1v337lrbXqVNHtB+lUqkxL0cikdCxy8jIEDRg1CU4OBhZWVkMecTBgweRlpaGadOmidJ2+/r6Yv369QgKCvpsRZob8sU1eFRGiIuLi07jnJubi5EjRwrSZltYWKBLly68PDZ1cXV1ZTxESqWSEltIJBJER0czoZzcc9nY2CAyMhKtW7cu8hjY29vzjC5LS0tMmzZNNCwzISEBmzdvxk8//YR9+/bh48ePomPz8OFDpn+xMLvWrVtT/TMzM5MX/mZkZITevXtj5cqVWovr6iYSyMvXgO13k1Au+BedcqAqTD6KcsGr4TR0Payb9cO0uYsYo+bevXuiBqyPjw9u376NjIwM1KlTR+O1WVhYMF7lhIQEzJ49mz5zuVzOy538N/GvGlVKpZIOcnJysqhR1aNHD9jZ2TGxkC9evIBMJsOUKVPotpSUFBgbG/Nie+fPnw+JRIKHDx/SbatXrwYhhKEDzc/PpwXf1FEajSo9vbEexYV+7uhRHOjnTenBb7/9RhWLjh07YtWqVbh06RL9LuXl5dF2oW+aEPr160eP4dZ1UmH37t20vaihNKV97igUClSqVIne35EjR2hbXl4e+vTpQ9tmzpwp2o86hXmdOnUwaNAgpm8DAwPcv38f69evZxR2rjeobdu2NAxPLpcjOTkZCxYsoO3GxsYaPTCmpqa0cHB+fj6Tg6KLqHuvhITrFdBEVR0VFYUdO3Zgx44d6NixYwko+QRlypTB06dPARSG/nHHcezYsYLFcVVy8eJFqnSXjNFRKP7+/khLS9M61x48eICwsDAEBgZi9OjRiIyMBACMHDmS9jV+/HjEx8dj/vz58Pf3Z8IJXV1dsWfPHuzZs4fqsoQQWpfNwMAAt27dQn5+vqCBqim8k85RUyuYVPoWNm1HwGnYBkHDyWnoOpQL/gXO4/ai/MhtcOg+B3b+k2FetyMksn8WC+RyuaAx+d1339F9IiIisHfvXsTExNB2bnizpaUlQkNDsXHjRp7HcPDgwdSwysvLY559p06dvuo756vlVIkZVfn5+TAxMRGsiO7r68skMO7cuROEEF68cXx8PAgppAlVoU2bNqhevTqvT9VLSz20QW9U6fF/Cfq5o0dxoJ83pQdHjhwRVIaqVauGkydPMgnvPXr00KlPLt3yihUreO3cGkNCzGSa8F+YOytWrGDGUhVFw6X3NjY21khZzyVKWLFiBV04LigowOjRo2nbkCFD0LVrV/r3zZs3mdC97du3Y8yYMfRvFQ21kEgkEnTs2JFnCNWuXZuef82aNUybkZGRVoOicmXdWNYsLS3x8uVLPHnyBFeuXEFUVBSUSiXu3LkjShxhZGSEmTNn4tKlS+jdu7fotVhZWWH69Ok4ffo0fv/9d4atr3///sjMzGTGUX1ctF27OnW7uhTV6GratKlo+YGEhAS0aNFC8LhKlSrREE8jIyNB44x770LCLbork8l0NmANzcrA3KsdLL7pBBf/sXAcsJxf/2nCQdj6jYdxpW9gaGGLMk5uOo+JtbW1YOjdgAED6D737t1j2nJycihhiEwmo04RhUKBc+fO8WqLubm5oWvXrkwNLkNDQ+zates/ZVRJyRdGbGwsyc7OJrVr1+a11a5dm5w9e5bk5OQQY2NjEhUVRQghpFatWsx+5cqVI3Z2drSdEEKioqJIs2bNBPskhJCHDx+S8uXLa7y2hw8fEldXV2JpaUm35ebmkkePHhFCCClTpgypUKECc8zTp09JVlYWIYQQLy8vpi0lJYW8ffuWEEJIhQoVSJkyZWibQqGg129hYUEqVarE3GdcXBzJyMgghBDi4eFBpNJ/Hk1aWhp5+fIlIYQQJycnYm9vz5w3MjKSACAmJiakWrVqTNvr169JamoqIYSQ6tWrE2NjY9r28eNHEhsbSwghxMHBgZQrV445Njo6muTn5xOZTEZq1qzJtCUkJJB3794RQgipXLkyMTc3p205OTnk8ePHhBBCbGxsiIuLC3PskydPSHZ2NpFIJLx5kZycTOLj4wkhhLi6uhJra2vaVlBQQB4+fEgIIcTS0pJUrFiROfb58+ckMzOTEEKIp6cnMTQ0pG0fPnwgr169IoQQUr58eWJnZ8cce//+fUIIIaampqRq1apM26tXr8iHDx8IIYS4u7sTuVxO2zIyMkhcXBwhhJCyZcsSR0dH5tiHDx+SgoICIpfLibu7O9MWHx9PkpOTCSGEVKlShZiZmdG2rKws8vTpU0IIIba2tsTZ2Zk5VnUNBgYGRB3v3r0jCQkJhBBC3NzciJWVFW3Ly8sjMTExhBBCrKysiJubG3NsbGws+fjxIyGk8HfI7f/9+/fkzZs3hBBCnJ2dia2tLW1TKpXkwYMHhBBCzM3NSeXKlZl+X7x4QdLT0wkhhNSoUYMYGRnRtvT0dPLixQtCSOFv3cHBgTk2KiqKKBQKYmxsTKpXr860vXnzhrx//54QQkjVqlWJqakpbfv06RN59uwZIYQQe3t74uTkxBz76NEjkpubS6RSKfHw8GDaEhMTSVJSEiGEkIoVK361dwQXJfWOUH+/6t8Rhfg33xEPHz4kAwcOJEJ48uQJ6dixI/O79fHxIZ8+fdL6jujbty9ZtGgRIYSQ77//nhBCSIsWLYi7uzvZuHEj2bZtGx0bNzc3cv/+fZ3fEap58/z5czoWRXlHKBQKsnv3bnLz5k2iUCjIt99+S3r06EHPXRLviDZt2pDevXuTvXv3EkIIuXLlCrly5QrdTyqVkp07d9L3qfo7wsTEhFy/fp0QUvgc27ZtSyIjI+k7YuHChWTLli3k06dP5OjRo8z3tmLFiiQxMZH+vW3bNlKnTh3697lz54gYAND3m+o3Q0jh73bUqFGkTJkyxM7OjtSrV4/cu3ePEFL4nLQhNjaWeHp6MrqTOqysrMjkyZNJhw4dSHR0NN1eoUIFkpiYKHoeAwMD0r17d1KlShUybdo0MmTIENKpUyeSlZVFDAwMiFKpJIQQsnDhQtK4cWP6jmjQoAGpWLEiSUtLI/v27SMxMTHkzp07ouOiDarfrBgKCgqIRCIR7atDhw7Ez8+PzJ49m6SmppJr166RRYsWkU6dOjHviA8fPpBGjRrReaiO58+f0/8rFAqyceNGEhwcTN9P58+fp78bMdy+fZt4eXmR+/fvk/z8fHLixAnePgYmlsTI3o3IHNyIkX1FYlS2EpHZuxGJwT/vMtXbJ//9a5Ib/4RkP79Nsp/dJijIpft8yHyv8Vq4SEtLI6dPnyYdOnQghBTOvdu3b5OjR48SQggxMjJi3rWxsbHk7t279NvsKOX3iAAAIABJREFU7+9PatasSe7evUsCAwPJkydPeOd48eIFM7YGBgZk/fr1pHfv3sw+/7YeofqW64ovblSpLtTGxobXZmNjQwCQDx8+kHLlypH3798TuVzOfDi4+6r6UvUr1if3vJpQUFDA+6EBIPn5+bRd6BhVuzqUSiVtU71QuFDvl/sx4varfk3cfhUKhWC/AIhMJuO1KRSKz+pX7F65/arfK3cMhfpV3atEIil2v1/62Yj1q2m+iI1hQUGBoPGj6dnoOoZF7Vd1TZqu93PHUOh47jWpQ9u95uXlEaVSySjAQv0W59mofjvF7be0zMOivCPU54z+HUFoX//WOyIkJIQqB0IAQNLS0gghhYZ5gwYNdOrX09OTdO3alRw+fJhkZmaScePGEWtra6JQKKgxSQghw4cPJ1KpVHT+Cz2bDx8+UBF6LoSIj+Hjx49J//79ye3bt+m2devWkfHjx5MZM2aQ6dOni74jAJA///yTbN26laSnpxNnZ2cyaNAg0qBBA3od3HfErl27SNOmTcny5cupwSSRSEjjxo3JDz/8QFq1aiU6hqpFC0IKlTbVc1WNkbm5OXF1dSXR0dEkMzOTWWQ4duwYCQoKIg4ODuTdu3fk/PnzdKFJE+RyOcnNzSWHDh0iPXv25LWvWbNG8Diu4dKoUSNy48YNeq/cZ6puUKneo/b29mTQoEFEIpGQWbNm8frnGisVK1YkHTp0ILt27aLzNicnhwwYMIBcuXKF5OfnEysrK+Ln50cOHjxIr6tMmTKkYcOGzHO1trYm/v7+ZMeOHSQvL48aVMbGxiQnJ0fLaBUPmoyzSpUqkS1btjDvxb1791IDQoWFCxcySr+RkRFp2bIlefz4Mc/QUigUZPLkyeSnn34ip0+fJp6enmTixIlaDeHU1FS6wMWFgYklMa3ehJjVbEGMXTwEjiQkN/4xUWSlE0VmCsl9G0OyX/xFrOUGgv2pw8TEhGRnZzP3Zm1tzRj4QUFBJDw8nLRv3548ePCAhIaG0rnQo0cPYm1tTVJTU8nOnTvJlStXGB3cysqKREZGkpYtWzLvISGofqujRo0iffr0Ydq+lh5RFHxxo0oFsZewepuu+xV1XyFIpVLBPlXGCXclmHuMkPFCSOFLTtUmpOzq2q/6NXH7FZoQMpmMABDs19DQ8LP65f4r1q/6vXLHUKhf1b0KPSNd+y0tz0bbvaruU9sYFqdfhUIh2KapX9Wxmvr93DHUdq/q0HavRkZGRKFQfJExVCqVRf7dlMZ5qH9H8PstLc9G/V4jIyOpN6RKlSqkZ8+eZPHixYLGmqurK1m+fDmRy+U6z+9t27aR9PR0cv78eUIIocaZCsOHDycTJkygnlht74hjx46RpUuXkqtXr9L9mzVrRgYNGkTq1avHHCc0hs+fPyfNmjWjXnkuPn36RGbOnEnS09PJiBEjeM8mKSmJ9OrVi1y+fJnZvm7dOtKiRQuyd+9eUrZsWeYdYWBgQEaNGkVGjBhBYmNjybNnz4ixsTGxsbHheRjVx9DW1pbIZDKSn59Prl69SvtUPfMXL15QL7WTkxMJCAgghw4dIoQQEhoaSszNzUlYWBgZPXo0IYQwSqn6+KqUuN69e1MPIneFXBPMzMzIp0+fCCGE1K9fnwQFBVGjqnnz5iQpKYl6GwlhDTCVwpmYmEgOHjxIvZ2EFHrnvL29yd27dxljbNy4caRFixbkxIkTJD09nRpukZGR5ObNmzRCQ12Zzc7OJkqlkvmuREVFUW8bF926dSPHjx/XuNigQqdOncjly5dF923atCm5du2a1n5MTEzI6tWredujo6PJ7du3Sd26dQkhhQr5hg0baLu1tTW5fPkyycjIIC1atBDt/+3bt6Rdu3Zk0aJFJDIykmmzsLAg48ePJ3Xr1iUDBw4kGRkZRCKVE+MKtYihhR0xcnAjxFBGpFaOxNi5JpFI//lt5H+IJ/nvXpC85BckLzmO5CU8I4pM9vfl4eFBvfaEsHNGHf379yfPnz+n3tS8vDze3E1JSSHBwcG8Yy0sLMisWbPITz/9RGbMmCFoGG/dupXs37+fnt/d3Z3Url2b7N+/n7cvAPL3338zCxwqfC09okj4nFhDLsRyqlQMRqtXr+YdM3nyZEgkEmRnZwP4Jx7806dPvH3t7OyY2hqOjo6CcebHjx8HIQS///47s7005lTpoYceeujxv4VffvmF5gwsW7YMQCGt8pQpU1CvXj24urrS9qCgoGKdQ1Vgs23btnB0dISzszN69uwpyIyrCXPmzBHNszAwMMCWLVu09sFNSq9WrRrWr1+PU6dOYdiwYUzODJeICihkReOy1AmJp6cnMjMzdb4fpVKJ69evY8iQIWjdujX8/f2xcuVKhkSrd+/etP/u3bsjMTERQCGFeOPGjWnb3LlzoVQqmWR9UowcHu74BAUFac27UZdmzZohJSWFshBKpVKsW7cOFStWLFI/33//Pc2bmTJlCtPWuHFjABAsVjtv3jwAhYWPVUQL3DFYuHAhgEL2SLF8pJIWQ0NDjUQdJiYmPMY99f1NTU0p2cuTJ0+Yth9//BEA0KFDh+I9d4kBNv16EbN/jULvdTdQc8avcJl4CC4TD4my8ZUbuAIW9bvA0EL3wsbce5kwYQKzjUuSoo2tUUycnZ3x559/YtmyZTofY2BggDFjxmgdL5lMhqtXr+r82/5SKLVEFcOHD+cd065dO4aoYteuXSCkMOGTi4SEBBDCElW0bdsW7u7uvD4XLlwIQgjevn3LbC+NRlVKSgrevXunc2FHPfRQQT939CgO9PPm6yI7O5tRWDds2MDb5/79+7RdiGr938KJEycYJadKlSoICAjgJZI/ePBAtI+EhATK0mZvb4/U1FSmfd68ebSvsWPHMm3h4eG0zcnJCRs3bsTDhw+xceNGhglvyZIlOt1PRkYGzwBSiZWVFU6ePAkA+Ouvv2BkZMTco7OzM7O/vb09rQGWkZHBEAwIKfiq//v5+aFevXpMO9ewHD16NO9cXFHVGVMpnSolNSYmhmcICYmXlxcuX76MrVu3MoV2ZTIZXdwGgHHjxvGOTUtLw9WrV3nbe/fujYiICJQvX55uU2d3a9GiBc+I0SRyuRyLFi3SqRiwgYEBw7pYHBEjxAgMDAQAPH78mNm+c+dOJCcn0+MqVKgAS0tLwedEx9iuAkyqeMOsVlu4hqwVNZ7KD98E++6zUbbdcJRrFwKL+l1gUunbz7o/QgiP2lx9HqrExsYGP/zwA/MbUIm/vz++++47BAYGYteuXcjJyaGs3ap9evXqpbWGFVekUikWL15M/+YWvW7cuPFX/16VOqMKAHr27AkHBwdarRkAXr58CSMjI4bG8/379zA2NuYZYAsXLuRRqqtW+7gGWH5+Pjw8PODt7c27htJoVP0X2JT0KJ3Qzx09igP9vPk6SE9PR2hoKMqUKcMoFA4ODpQ2W4WJEyfSdtUq/9dAq1at6HXMnz8ff/31F27fvo07d+5g2LBhtE29hiQX3GLE48aN47WnpqYyChQXXOa6S5cu4datW4iMjEReXh7+/vtv2sZdmBWDUqnUaPgQUsjYpmIe/vXXX6nXRV0cHBxw584dpn+FQoHff/8dPXr0QK1atahCamBggGvXrlHDytraGufPnxcscEoInyq7Ro0a6NGjB4KCgrBt2zZkZ2ejZs2avOOcnZ2xdu1adOrUSaNSnZubKzj2hBCmZqg60yAh/zAqDx06VOM4VqxYEUlJSQwTZXHEzs6OjptQPSSu0l+3bl2d+iyOp+zly5fIzc1lPDve3t7MgkDz5s3p/w0tHRA0fSkWb9oPc7faMKnSAGVaDeHXgZp4EP4Lj+Dgndeo4tMZUutykNr8Y5gWFBQwBoa61KpVSyvzYUkI9z3AjRZTYfny5bS9R48eOtG9c2Xz5s2IjY2lf7dv3x5Vq1alfx8+fPg/xf732UbVyZMnceDAAWzevJkO6oEDB3DgwAEaxhcTEwNzc3P4+PhQqlhPT0+NxX9nzJiBS5cuYcmSJZDL5YLFfz08PODi4oJdu3bh7Nmz6NKly3+q+K9ewdGjuNDPnf9dPHnyBOPGjYObmxusra3h4eGBBQsW6LSa9znzRqFQ4MCBA2jdujUsLS1hYWEBHx8f7Nq1iyneqAeL9+/fo3bt2qJKhUwmw5YtWxAZGYlJkybR1W+pVIqEhISvcs3cukGVK1eGQqFg5k5GRgb1Djg4OIj2c+rUKdrPhAkTeO0fPnyg7Y0aNaLbs7Ky6HYLCwtGqXZ0dMTcuXMZRZrrZRHCmTNn6L7W1tbYtGkT3r9/j3v37jG01a1bt0Z8fDx++OEHfPPNN3BwcIC5uTmsra3h5eWF8PBwrb+z/Px82t+3334LgA0pNDQ0hI2NjVZl09LSUjAVolatWkxfmvpQzSWJRCIYJsn1ruzatYt5Llzvj1QqRXR0NB49esQUmFaX1q1bU+NLqVTi559/5i0kFEeEwkC5iw8qESvE7ObmhnPnzuHTp0+MR00XkUqlGDp0KFMDjo6/uS3M63SAdbN+cOg+B+UGr0KF0F9FvVBOQ9bAodd8WLcYBAPTQm+Wn58fr99atWoBgEYDxcnJCd98802xxlOsaK+6qCjvVX8LOSwGDx5c5H65kpubi0mTJtG/w8LCeKUh/qeMKm78t7rExcXR/e7cuYPWrVvD1NQUlpaWCAgIEK3MvmLFClSrVg1GRkaoUKECZs+eLVg3IDExEUFBQbCxsYGxsTEaNmyIs2fPCvZZGo0qfSiOHsWFfu78b2L37t2iq9xly5bl1QpRR3HnTU5ODjp37iz6rm/Tpo1gccj/i8jPz8dvv/2G8PBwLFu2DLdv39a4f2BgIB0nIyMjdO/eXWPNIpUIRX38W3j16hW9js6dOwPgzx2Vcm9kZCTaz9u3b6miVbZsWSZ3CfgnXJ+QwtA3FbhGlZhwlX6uB0YIXKNm9+7dTFteXh5T2FcsdEkikcDa2hq1atXCyJEj6W/t5cuXWLBgAUJCQjBp0iScO3eO/kbLly8PhUKBDx8+aPSmGBsbo1y5cnBycmI8IuoesT/++ENnZdXPz4/WApJIJEhNTcXz588RGxtL9alvv/0nrKxq1ar466+/ABTmj3G9BWISGBiI77//HuHh4aJhoKoF988RNzc33rawsDBe2J+6kSmTyWhYJwB8/PgRVlZW/Gcrk8OkvDus6rSHeZ0OKNN6GOy7hcGhR2ExXKtGvWDnPxmO/SNQLvgXOPZfhvIjt4kaT62XXkSVyQfhNGwDHPtHwL7LTNjV89X5flU15jw9PYs1XmXKlMG1a9cEx40Q1vvEFQcHB3h7eyM4OBi3bt0CUOg4UbVXqFCBZ+Bo81xqk+7duzPP79WrV0z9qyNHjvxvhv+VdpRGo0oPPfTQQ1f88ccfjNJgZGTES0YvW7bsF/kAjRgxgjmPk5MTL/ejX79+JX7e0oa9e/cKrnTXr18fkZGRSE5OxrJly9C3b1/07dsXs2fPZkK/Hj16RPvaunWroKdBKpVi9uzZgsU2/y1kZWVRw8De3p7nCXr79i1NNHd1ddXYV0BAAL03Dw8PbNu2DRcuXMCYMWOYle3IyEgAhSQbXbp00Vkpq1+/vtb7UeWPSCQSwQXa0NDQYimElSpVElyd53oY1q5dC6CQeCMsLIxR6g0NDTFy5EgmB5yb9G9nZ4eIiAhcv34dS5Ys4RkERkZGqFWrFm+hZc2aNQCAkJAQuo1rrNna2mL06NGCeU665D5JpVIsXbpU67gDwJ49ezT2JRTOWBJibm7OLLIrFEps2XMQpjV8YNmgC8xrt4VNu1EoF/wLKkw5JmogaZIKob/CMSgCZdoMh2WjnrB0b4RuQcN470YbGxskJSUxiwiapG7duvjpp5+0hqyKier5v3r1isk/FJKxY8fSZy6Xy+nvMDU1VdCLRgiBr68vjTITM5qdnJxgZ2dXpOueP38+oqOj6cKGhYVFkYhovgT0RpUI9EaVHnro8V+Gv78//fgMGDAA79+/B1DIqtWwYUPaVtJ5OAkJCVRpMzY2xqFDh6BUKqFUKnHixAmqQEokEjx//rxEz12aoG3F3djYWDC5WyXTp0/n9bl//37aXqlSJcyfP59HsvS10KtXL3ptffr0ocb6q1ev0LJlS9o2Y8YMjf08efJEa7jb+PHj6f4rV67ktWsKmVuwYAFmz56Nb7/9FtWrV0ebNm2wfft25OTk0D4bNWpE94+Pj+ddY//+/Zk+uSF2JSEdOnTA/PnzeTlP27dv513Lp0+ftLIeElKYxzN48GBBo87ExAS3bt3CuXPndLo+MaIHa2tr7Nu3D7Nnz8Z3330Hf39/zJs3T+McffToEZYuXYpZs2Zh2rRpWpnltIUwckVISbe2toavry+TX+Tg4IDXbxNw5mEixu25hyaLzqPKjBMaDSTn0TtRtvd82HedBVu/CbBs0BXmXu1g22EcHLrPhrXPAJjX7QhjVy+YVGmAqo3aw8HJRSdShnHjxuH27ds4deoU9uzZw+QLckWMMKOocubMGfo8YmNj0aRJE94+5ubmmD9/PpRKJcaPH0+3y+VyBAYGajXGatWqhczMTHz69ImZg0VlvySkMGzQz88Pw4YNY+aiOnnN14DeqBKB3qjSQw89/qtITU2lH1xnZ2feavvTp0/ph8jDw6NEz71q1SraN5dYSIUff/yRti9YsKBEz11akJqaynzs27Vrh507d2LVqlWoXr26TorDoEGDeP1yn1vPnj2/6D1kZ2dj586d6NSpE9zc3GBsbAypVIpKlSphzpw5vPzmu3fvMh4QIyMjVK1alVGgrK2tdTICHzx4IGioGBsbY9asWfRbrFQqdQo744pYHk3NmjXx8uVLAMCMGTPo9uHDhzNewJiYGMYYrlSpksY8ICHDOSgoCH/++Sd27dqls+dl4MCBPG+kUqnE3LlzdVJCuUavkJibm6Np06Za+5JKpVixYgVGjx6Nxo0bo2rVqvD29kZ4eDiSk5NFn6lCocDp06cxcuRIBAYGYsSIEWjWrFmRFWpt4uTkROehqakpwz6pGgt5mbIwrvQNzDxbw7xOB3QNPwLP2ad5hpPb1N/gNHQd7PxDUTYwHHadpsCkSgOa3yQmQvTszZs3p89MG1GGurFUpUoVJo/Izc0NUVFROHfunODvRIw0RSWmpqaMV2vgwIG858Wlfw8ODmZCcTMzM9GgQQON179w4UKsXr2aIc8IDw8HoDn3qyi/I67UrVuXFy78NaA3qkRQGo0qhUJBRQ89igL93PnfQkxMDP3YiNFsq0IBy5QpI9pPcebNzJkz6blPnTrFa79+/TptHzNmjM79/pfAZbjq168fowwnJSUxhkb37t1x79493L17l8mdkslkyMrKEu138uTJX+z6z549q5FJjJDC0FH1fImDBw+KKj9lypTB9evXdb4GpVKJixcvYubMmZg4cSJWrVrFC1V99uwZ7zwhISGihpO6cEPcCClkz8vKysKLFy+YFfRGjRohPDwcI0aM4B0jxKBXoUIFerxQ+CeXFS0lJYVSakulUt7+Tk5OWLJkieBvcMWKFTrdJ7dPIyMjhIWF4dq1azSHSl3Mzc21KuaEFIZbjRs3Tmt+5OPHj3XyphVXuN6riIgIBAcHC+9nYQerJn1E6zs1mH8Wc45F4fqzZLz5kIWk5BSd5xL3WsRY9u7evYt169aJ0pPrKtz3plKpxK1bt7Bp0yZs27YNT58+RVZWFrZs2YI2bdrAw8MDDRo0QJ8+fbBgwQLs27cPmZmZyMjIYIybCRMm4PHjx3j06BHGjh1Lt1tZWQk+38zMTEyYMIEhLyGk0CN1/vx5uh+35EPlypWhVCqLzEK4cOFCQeIPQgoNxOHDhyM9Pb1U6Dl6o0oEpdGo0jO46VFc6OfO/xZUtfoIIahduzZvhfv9+/d0NdfNzU20n+LMm6VLl9Jzz5kzB6dOncKBAwdw69YtKJVKxpMVFhZW7HsszeASHdy9e5dp27JlC6MUcGtP5eTkMEpcjx498PHjR1qcl6vAqHIZShrXr1/XuiqsEicnJ97q8NOnTzF+/HiUK1cOZmZmlDzqc5kJX79+jenTp6NSpUowMzODvb29IJvZ/v37kZycjE2bNiE8PFww58fZ2Rn79u2DUqnE5cuXUaVKFdq2efNmAMDatWt1GgP1ej6EECYZX4icq06dOsy9cRnRrl+/jqtXr+Lw4cO4fPmyYE4XUJjHxvWQzZw5E8nJyUhPT0dERATjNeR6PhYtWoTRo0dr9BZERETgw4cP2LBhA2bMmMHkuYkZEl5eXlixYgVTCgcozKdT9xapi6urqyChji6GHdf4NbewQFJyCmbNmlXYZlUWMjtXmHm0glP371Fh0uF/wvfG7kb5/osxcON1hB19gJuxKVAolMjOzsaDBw/w4MEDZGdnF9kA6t+/P3x9hUkmxELdKlWqxJQd0Da/Suq3HxERofV+Vq5cSfd//PgxVq1ahcWLF+PQoUPIyclBWloa3bd69eqC5/H29qb7xMfHo3379jqPp1wuR1RUFLMAcPr0aRw4cADHjx/Hhw8f6HlKg56jN6pEoDeq9Pi/BP3c+d9D/fr16Udo9erV1LDKy8vDwIEDaZtQPSAVijNvnjx5IvqBVA+VUrGH/V9Djx496D2qwnQGDx6MDh06oEaNGsyYqIgJVFBnx5LJZDwFuHv37l/s2rn5dioZMmQIQkNDBfNZuEoXF0JzJzU1FcuWLcO3334LFxcXeHl5Ye7cuYIGV0ZGBh48eIAnT57gzJkzOheDdXR0xOnTp6FUKrFz506N+06dOhVKpZLxnvr4+NBrOHz4MO95GRsbY/DgwTRfRyivhcsOKCR169Zl7rVv37607c8//9TpOXEJHYTqAYnVfdLFY8QlbIiLi+MZA2IscYQUeiNiY2Pp8VxK9Ro1amDPnj0lQptOCIGhhS3MvdrBulk/2PtPRs2Zv6HKjBOoODgCZfuGC3qjOvx0Ed92H0n7UBWDfvfuHcaOHcssXFhaWmq8V7Fn27Zt2yIdY2dnB0dHR532dXZ2BlDIKnro0CH06dMHvr6+6NevH44fP16kchVKpRKLFi0SNPZURXaVSiVev34taAjZ2dkxOY3u7u6ChDnccMfihP5x56yq7IAQSoOeozeqRFAajapnz54hJiZGlFpeDz3EoJ87pQMFBQU4cuQI/Pz84OrqisqVKyMoKIgpSl5S2Lt3L/Nhql27NgIDA5lQIJlMxismy0Vx5k1WVpZOdXVatmxZErdZKsEt9KktgVtVQFYFbYZA+/btmXAcpVKJJ0+e4Pbt259NWhEZGck7H9fTyb0vlagX4VVBfe7cvXtXNKTQwsKCJss/efIEQUFBjMeuOAn5YmQK6uFc69evh1KppHNWnZ1QqVTi5s2b2L17N3799VdK+KLyhhRHrKysaE7aq1evqEfG3NycebaZmZk4fvw4du3ahcuXLzMKMzc3cf/+/bzx//PPP3W+HnUv0cSJE2k/U6dOLfL9Va9eHTk5OcjOzqbGsKmpKRISEvD48WO6H9eDoUkMLWxhWq0xrJr2hWWjnjCv6wfr5gNFw/iYvKiJB+C34gqW/f4I158mQ6lU8q7h9evXPGZUISlqzariiEQi4YXUccXAwADR0dGoVq2aYLuXlxfNDdQVb968wdy5c9G5c2d07tyZIReJj4/XGq7HHZfff/+d6fvKlSvFGgepVCroqVQvccBFadBz9EaVCEqjUaWHHnr8d5GZmalxBXPixIklSoutVCoxYcIEcUXF0FDjB6q40FXZvHr1aomfu7TgzZs3Ohe25DIg5ubmMgng7du3h7u7OypXroxOnTrht99+Y0ga1q9fz/OktGrVislp4OLZs2cYO3YsypUrB5lMBicnJ4wfP556Fnbt2sW7Pm49qNevXzNKDyGFXhltSExM1EqXbGhoiKlTpwrWBRJSPHv06MHUTdJVWrVqxdCQV6xYEbGxsdRwc3Jy0mqcJiUlYcmSJTwq7KJIu3btsHjxYsboHjlyJIBCkpBJkybxVvVdXV2xYcMGKJVKJnQrIiKCd42HDh1ixqso1yaTybBv3z4oFAqNYzxt2jR07dqV/s19do6OjkxIW9euXQEUsv2ptgn1bWhpD7NabVGm9VA49l+GalMOazSauBTlxq5ekDlUglmttrD4thMMzW0xaNAgPH36lEfzr7rWKlWqoEWLFvT8xsbG6N69O7p3785j6gsMDGRye4rrcdMWXss1cu3t7TFr1izG26MtnLJq1aolRtoQFBQkeA6x37OpqSmmTp2KY8eO4fvvv+fNYblcjuDgYCxdupSXn6hNxo8f/1VLR+gCvVElAr1RpYceepQkuMqHSgFRX4nTtZaLrlAqldizZw+jqBsYGKBTp074448/SvRcQKFRoGK+MjAwwPDhw5lVTK73QFPY4f8FdOzYUSdFwc7ODitWrMDy5cuZ4p1Vq1YV/eYolUoMGTJEtE+JREJzg1Q4duyYKJ2zTCbDvHnzsHv3bl5bkyZNaB9cAhSuYqwN3MR3XcXa2hqBgYGCuTYqIyIjI0OnsMAFCxYwnohTp04xpCDqBrBUKkX//v2RlpbG3EdBQQGmTJkiWlD7c6RSpUp49+4dcnNzBXPFuBIWFoYHDx7Qv11dXRk2xo8fPzIGS3G9avb29qIU5qp6X1x6bU3Stm1bAIV5g+qGs8yuAuz8Q+Eyfr9ofadyA1fApv0Y2HedhbK956PHkqNoHDgBhPANRiFyCVNTUwwbNgxxcXGIioqi22vXrk3/7+Liwnh5nj9/DltbW6Yf1VyRy+VajRuumJmZoUePHjxvr7bFl/Hjx+P169d0EYNriHh4eODUqVNISUnB0aNHGep1FdPe5yAlJUVnynOh3EF1kUgkjGfex8eHaff398eVK1fQqVMn3riEhoaWeoMK0BtVotAbVXrooUdJgcuAZGVlhSNHjkCdup26AAAgAElEQVShUCArKwtLliyhbba2trwV1ZJCQkICHj16xCT2ljTu3btH7yUgIABA4bv09evXePXqFd69e0c/lrVq1fpi11EaoCnBXZs3xtjYGNeuXRPtW53sokmTJhg2bBhDuGBoaEiLB0dHRzOKppGRkWCIpp2dHfVqcJWpNWvWQKFQ8PK9CNFOi69QKHQmvlCJiYkJ4uPjceLECcH2GTNmID8/HwDQunVrXnvFihWZMc7Ly+Ml5euiBNavX58JxxMjE1CJJqY4Q0NDtGnTRlBJbdeuHfWO9enTR6cxunbtGuNhsbGxwahRo9ClSxfGeLawsMD169d5izpC16ftnFz6+mnTpiEvL09nb51EIsHq1auRnZ2NUeMmQGJkCpl9Rdh1nsYzosoP3wyb9mNg6t4MRmUrQyLjj+vGjRsxYcIEuLi4wMTEBBYWFnB3d0dYWBiaN28ueh1lypRhDCluwdpVq1YBKFy0WLhwoc7FaB0dHXHgwAGGhpwQwniRvby8AACjR48u0m9h3759jJGtWpiSSCTw8fFBcHAwLl++DKVSiYcPHzLP6nPxyy+/MNfi5uaGwMBAwdBDJycnwXcK1zhq164d0//kyZOZfble77i4OOoJNDQ0FKwXVxqhN6pEoDeq9NBDj5IC9+Px888/89q5bHGHDx/+CldYMuAm/I8YMYLXrlAo6EprSXz0iwoVKcH06dMxcuRILFiwAHFxcYL7vnz5EmvXrsWSJUuwd+9efPr0qUjnUik/bm5uiIiIwJAhQzBixAjs2rULOTk5ggU2CSGoV6+exhw7pVLJMGHt2LGDthUUFCAkJIS2qUL3uBTTAQEBxQqbEwrVsbKyQlJSksZxOHXqlGifmgwb9QK76tKpUydkZ2fTBH9uiNu9e/cYT+HNmzeRn5+PLl26FPm+582bB4DNUTI0NETLli2LTA1dtmxZ9OzZk/49ZswYREdH07GKjY1l9tcUtieVSrFq1SqdvSXdu3cXbfP19UVYWBizrWnTprC1tWXCt1TU74QUEnqo08lz55WNjQ1TyFcik8OifheUD9ko6Ily6PkDjF29ILV1hpD3iRDCkDmIeVDE8pGExtLc3JwhFdm3bx+SkpJ0rh1GSKGhoAqfzcnJoZ7TMmXKYMWKFYwndevWrUwhbF3YDbmiaTGmdevWSE1NZd4Nn6uzchcs6tatS3P6dK2PZmNjwxRBDwoKYvp/8uQJ81xMTExw5MgRrFq1ivG6devW7bPu49+E3qgSQWk0quLi4vDs2TNRJUAPPcSgnztfF1yjSYgYYuvWrbR92LBh2LdvH27evPnVwx2KOm8SExPpymT58uV5Xrfjx4/T+/Tz8/sCVyyOuLg4wcR4iUSCQYMG0WtNSUlB9+7deeEn1tbWWLBggegzefLkCSZMmIB69erB09OThojZ2dlRrwoXXJa98PBwrFmzBrdv39b6zLkFgFVFPDds2EA9Kh8+fKCeITc3N8aQtbCwYIgHTE1NMXTo0CJ7kggpNLLEcrdU4/3s2TNRQ8bMzAzv37/XajxpklatWvGUbGNjY6Snp2PTpk20rWHDhkhOTkZ+fj7Cw8N592tjY4Nu3boJKq3m5ubIyMhgDFMxkgB1WblyJc6fP8/QYquUSIlEgjVr1iA3NxdAISunv78/3U/XnLwlS5agT58+PKPB0NCQd59cT5qnpyd+/PFHREZGYufOnTxjRMVKWVBQwAvTKooYlasGi3rfwWnIGkFjyq7zNMjs3XjHcY0DbcalEHOekZERBg0aVOTr1ZVlkhCCLVu20PmuVCqZGn1iIaJiRqo2cXR01GqENWnShIZby2Syz/5+cMfCycmJWVgqKCgQZPJTzzNzcXGhY2Fra4vMzEzmHAMGDNB4Tw4ODkzeqSaUBj1Hb1SJoDQaVaWBLlKP/yb0c+frghs2dezYMV67GKGEu7u7ILPXv4XizBuuYtiuXTvcvXsXGRkZ2LNnD823IoTg0KFDn3Vtd+7cwfDhw9GyZUu0b98eCxcuFPWaJCYmavUq+Pv7IzU1lclrEpKxY8fy+o+IiNCoBKsTCZw/f562Va9eXWflJyYmRjTcqnz58rh37x4A0Hu1tbVFRkYG3adChQpUETI0NKT7N23alNefGGuhkZERgoODaWihGHbs2MGsygvJwIED0a1bN437BAQEFIloYdCgQQCAT58+MV4cU1NT+Pn5wd3dndlfLpdjz549GsPfvvnmG9FCuQ0bNmRCyNTHytvbWyONtJeXF6ZNm6aVUrtMmTKC7HNyuZxhWDMxMcHq1atRUFCArKwsLFu2jI6f0D2KjS2XKj81NVX0Wcrs3WBeuy0s6neBdfMBsG4xCDbtx8Ax6CemLpTr1ONwHr0DZrXaQiI3AzGUgkgKfzO+vr4YNWoU42XVRXr27EkLQv/1119wcXGhbSpWyosXLyIgIKDIRXwJKTSeNf2upVIpAgMD0bVr12JRhavEyspK8Hh7e3s0b94cGzduFKwVtn37dmzfvp3xCKpElcNWXCiVSl6f3t7eOHbsGP7++2/MmTOHaWvSpAlev34NoJDps1atWrSNGwrdrFkzXL9+HR8+fMDevXs1Fhn39vbWyE6rjtKg5+iNKhHojSo9/i9BP3e+Lo4ePUo/FHXq1EFqaiptu3PnjtZ8BrFaQF8axZk39+7d02lFVch7owtycnIQGBgo2K+xsTG2bdvGO2bMmDF0n4oVK2Lz5s24ceMGfvjhB4Y8g+tVsbGxQVhYGPbs2YOgoCBG+eSSfOzYsYOvaAqsUnfr1g0rV65EcHAw067rs01OTtZK6SyXyxkCCy8vL17eAldhS0hIQHZ2Ns2FkMvlVPmsUqUKoqKisHr1akRERODAgQN4+fIl9axowq5du3TK0dEmBgYGePHiBWOoaxJ7e3u8ePGCXsedO3e00vs7ODgw81WMWltd+ZPL5bh48SI9l66epeKIpaWlxnHg5hAtXryY9zy4jHWahOtluHDhAgAgO68AZyLfYO7Rv9F03gnUnLAdLiEbUCH0V50ozSuE/oqyvefDpu1wrNlxACNHjuSd19TUFD///DMSEhJ4Rq8madOmDXOf3JC0ihUrMm1KpRLPnj1jjh89ejSio6N18pZyDTZdRSqVYuPGjYiJieERXugq9vb2OH/+PP09cX9XBgYG6Nu3r2Cu36+//qrTe0UTtJWD4Mr58+exf/9+nDp1itaYU7XVqFGjSB5Albi7uxepaHhp0HP0RpUISqNRlZubS0UPPYoC/dz5usjPz2dIBKysrNC/f3907tyZUdYNDQ0xbNgwLFq0iPEeGBoaFmnFrqRQ3Hlz7tw5Ubrh5s2b01o/xYE2BVEikTDewOzsbBraZGJigjdv3jD9bdy4kVFSCCn0MDx+/JjZ76effqL79e/fH0BhCAxXCZ80aRJSUlKQn5+PvXv3ag2ra9++PfLy8nS6b+7KMDdUSxM7l7bcqapVqzJe1N69e9Pn5uLiUqznEx0drTNjmDaRSCSijIVCClhUVBTvel68eIFRo0bppNT17t0br169EmxTN5SHDx9Oz5GUlFQi9ytWW6tjx47YvXu3qKHKVdiFxoDL6qia4xKJBE5OTqhRowbatm2Lpi1aw8yzFSy9u6NSs8448fcb9Ao/gIoT9mo0mlwmHoJDr3mw+24ybNuEIGj5b7Bu1g+m1RpDWsaJIZkYMGAAlEqlTgWIdRVuTtrZs2fpdhMTE944cA06LilCXl6exppZvXr1woULF3jb1b1fQosptra2DIV/caSo1OPBwcElEjrOXZDR9DtUv28LCwtKIqIag/Pnzwt61LjSsGFD+Pj4MAsULVq00Pl6S4OeozeqRFAajSo99NDjv4v79+9rXa28fPky3V+pVGLcuHG0jVuQ87+A9PR0rFq1Ch07dkTz5s3Rv39/nDt37rM+9n///TejNK1atQrv37/H48ePmXoqNWvWpOfhMmJxE57z8/MRGhoqqCyULVuWt0KanZ1NPRqVK1cGAFy6dIke07p1a971rlmzRvA5W1hYYPLkycjJyRG8z5SUFFy+fBlXrlyhXs2irBqriy5eI4lEguXLl9O/fX19i/WMNBEifAnp2LEjTpw4Ifp9jo6Oxrhx49CgQQPUqVNHI9X9mTNneOx7Yh6oZs2a4eTJk1i2bJmoMSQkJeHR0hQOefDgQd4YzJ49m7a3b9+es78Exm51Yd8tDM5j94gaTuVHboNj/6WwaTcKJlUbwditDgwt7CG1KguJlDUsNBXR/eabbwCAYS3UNl8cHR01EjSsWLGC3qe6Qbxs2TL6G/vjjz+YELsff/yRGaO1a9cK9i+TyTB48GDm3UNI4cKGynspkUiwYMECJiKBS8IiND/EwhHbtWuH3bt3FytckZBCz1ZJ6aqvXr3i5doV5bpU89TExISZ92XLloWnpydtt7S0ZMh5YmJiGK/87du3S+R+/g3ojSoR6I0qPfTQoyiIjY3F9OnT8d133yEgIADh4eFM7RigsO7JgAEDBD9MKgpyLpKTk+mHp27duv/WrZQ6JCcn8yiOfX19Ga+TUqlkyB9UIXrR0dF0W+fOnem+2kJ+qlWrxnjUCgoKqILh6uoKgKU25yp3KsTHx9P2+vXrY8uWLThy5AgyMjIE7zMuLo5Xm0kul6N+/frFUrBUsnHjRvzyyy8alfGgoCBmfIuTy3f//v0iF5rVVUxNTdGnTx+G1lv1LIRCSZVKZbHrM31JWbhw4Rft397enpm3T548oYs5sjJOCNt/E99NWwPbdqNQfuQ2Nudp+EY0mLQJNSbuhPPYPbAPmAGTyvVRzb2mKKteUaRu3boYPHgws83T0xMzZ85kKN+54Zj37t2DQqEQDX38/vvvARR6m/r27ctrt7KyEsyn3Lp1KzNfhMISuaK+IMbNBVS9V86cOUO3FYfco06dOvR6xMJ2DQ0NcePGDWzdulXQ+yrEuvo5uHLlik7PXiKRoHHjxujbt2+R67jNmjWLd95169bR9mnTppXoPX1J6I0qEeiNKj300EMXKBQKhIaGCiqTxsbGWL9+Pe+Y9PR03Lt3j2H9U9Ffc1FQUEA9KTVq1Pg3bqfU4datW6L1YszMzHDq1Cm6LzfMRpVblZub+49SKZPh6dOnOHfuHKOkcBUDbv+TJk2ife/fv59u/+677wAABw4coNuEihlfu3aNtvfs2VPjfT569Igh8vgc4fYjl8tpiOHly5e1kkcQUkinXZyct2bNmtE+uKGP2vKadBH1hQjusxIiPfnckCuh82hSFg0MDLQqkwEBAaKsaZ6enqIhs9rEy8sLRGIAA2NzWDbsAad+4fAavwkeYzfBocsM2PpNgF3AdLhOOcbzQlUMPYwqvWfBqro3JY7g3tPRo0exdOlS0d9IUcZPk5eDGxLIpWpXKdwnT54UPdbd3Z3JedLFM1unTh1kZWUBKGTULIoH0cbGhllQUV1jWlpakbyWQmN19+5dvHjxQuPv1MTEBCEhIejRowfv+AcPHhT5d6sN6nT7msTW1lYw/6x8+fIICAgQJNrZt28f75x3796l7cOGDSvxe/pS0BtVIiiNRlVaWho+fPjAq/Kuhx7a8F+eO4mJiQgPD8eAAQMQHByMrVu30o9hacCMGTO0fmh2794teOzbt2+p0uHi4sILB+OGk3Tq1OnfuB0GX3vexMfHaw2ZNDExwcOHDwGwq7vcD3VoaCjdrgo94SqOqv+3a9eO6dvMzAz37t3DkiVLmFVhVc5WcnIyNR4sLCwQExNDz5mdnc1Qfm/atEn0PpVKJerWrcsobcOHD8fQoUMF85OKkpMikUh4BZ8vXbokmiPh6+tbpALR+fn5SEpKYuo4qRTb4ibna1sZl8lkmDRpEv07JCSEuaaPHz8yIWNhYWFITU3Fx48fsWLFCp1X0rkKcnES7dWfw/nz5xETEyPYXtywyXZBYxCy4w4qTuUbTELSb+NNTNr/N6YfjsTZhwkI6Kb5vCNGjGBqBs2fP/+zxkElcrmcKcLLlfnz5zP5jT/99JPGYtrq827//v24cuUKevXqhbJly8La2hre3t5Yv349U5C3SpUqWLBgAbMYoE3MzMxw//59ptB5kyZN6NzjEsVoErH51KpVK625R2LSqFEjNGjQAPXr10dISAhl9/wcqBuKuuY4ciUwMJAu0ly+fJlnWBkZGWHixIkM3To3h1XljdTlWr+2nqM3qkRQGo2q0sBsosd/E//FuaNUKjFnzhzR5F8havJ/G2/fvqVKr4GBAcLCwhAXF4eoqCgmzMXZ2Vl05Z9Lx6yiIE9LS8OOHTsYD01JsDkVFV973nDrvjRt2pRZMeVSUA8cOBCvXr2iHhGpVIr4+HjaT2pqqlZWsX79+iEuLk6rQuPn54erV6+iT58+cHJyYlbf5XI5AgMDMXbsWEZxsLe311g8mEuJXb16dRq+9f79+89SXFVSu3ZtvH37FklJSVAqlXj79i1VjqRSKdq3b4+QkBD88ccfOue8xcXFYdSoURoNIF29GsUxWLgGW7169dChQwe0aNECQ4cOZVjg+vXrx7t29bypkhQvLy/RcE2JRCJqaIoxOxqYWMLy206w7xaG8iO3wWXcXtj4joRtx4nwHL+VZzSVG7gClo16wrxOB5i6N0XZZr3QcfIKzPv1b0S9ZZVNbi0vQ0ND9O3bl+f94EqTJk3w9u3bzx4jc3Nz9OnTB2vXrsWBAwd4nqVvvvkGvXr10tqPkHepYsWKGuun3blzRyP9uUwm0+jp+v333wEUfp+4RYLDwsKQlZXFeLBKUtQJjXQ9buTIkbRob1GRlZXF1JHifo9UIZq6kNJcu3YNAHDs2DGNCxrffvstMjIycPXqVca7LUS+IoSv/b0C9EaVKPRGlR7/l/BfnDvc5GohMTQ0xNmzZ7/qNXLzI0JDQ5k2pVLJJIUfP35csI87d+5oXf3z8fEp9ofxc/C1540qF0IqleLNmzdIS0tjlHiVUmVoaMh4Jnr37s3rKzExUZCkQC6XIzQ0lBq9Dx8+FFXye/fuzXhIdBETExOGelsIXOORW1D00aNHRVa+Fi9eLFo3SaUYcRWWUaNGFfm53Lp1S2OoWlFCqby9vfHu3TterpS6yGQyJvlfV1Enbti7d2+xySLs7OxEw7tq166NNWvWICsrC0eOHClW/4QQSK3Kwrx2W9gFTEe5wasEQ/bUpdPKq7j4KAkNW/jSfq5evYq//vqLV4CbC25RYtWijaZrb9++PRPyqotYWlpqnCtmZmaCLJU+Pj7o0KGD6HGamDWlUikTFsxFVlYWgoKCRA2Tmzdv4tWrV5g1axaaN2+Oxo0bM55hFdU8wLIqElJoLBYl96wooZSmpqZMseA1a9Yw3m1NMnXqVN44KBQKpKamis6PO3fuaCzhIHRubm0qriQnJ+P9+/fMe1Ws7IZ6QeSiRGh87e8VoDeqRFEajaqkpCTEx8eLFrjUQw8x/Nfmzps3b+hHTyKRYMKECbh37x4uXrzIKIweHh4lQh1bXHBX8YRCLbZt20bbly5dKtrP2bNnRRWPNm3aFCkcqyTxteeNSvnlJnAfPXpU4+polSpVkJiYKNrn48ePmRXmDRs2MO1cL45MJkPfvn0xc+ZMxMTEYPXq1cy5LCwsRBUPiUSCjh074q+//tJ6n+PHj6fHcRkgk5OTef02bdqUCcdSl+rVq+usqDk7OxepDgwAZGRkMDWbTE1N4evrWyyDh5DCXKILFy5oPX7ChAl4//497t+/r7WQM1eWLVtGrz0xMZGnzHl7e2PgwIGC+T6VKlWi/9fEQEdIYdgWF7oUspVaO8K2/RiUH/ILyo/chnKDV6FC6K88o6n98ivwGToXcmcPmFTxhm3HibBpOxzmdTuiestu2LN3H+Lj46mhYW9vr/W9mJaWRq/Dy8sL6enpWLRokUb2PplMxuTLyGQyTJkyhdnHwMCA8cZduHBB59A91e9GU7u1tTVjuNSsWVMwF9HR0ZFHrZ2VlaWVQGLo0KHMMTk5OfSeJRIJXr9+DaVSiatXr2LIkCFMqYwvIVzjj+vlUTfeJBIJ/P39sWHDBsTFxWHZsmX0WCMjI/oOf/HiBcaOHcsYLy1atMDhw4fpnHn+/LnW/D4hNtK2bdsKXn9aWhoiIiLotu+++47SxGvyujVs2LBI376v/b0C9EaVKEqjUaWHHv8rmDdvHn2xqnuAFAoFE16jCi34GuDW+BHymnGT5bUVec3IyMDq1avh7++Pli1bYuDAgbh06dJXNRq/NlQffktLSyaP7uLFi7y6MkZGRujfv79OH9Tjx4/T40xMTDB79mxcv34dGzduZJRKLnlIfn4+Y0AtXrwYOTk5VMFycnKibcuWLePVw9IELpU5lxwDYOmnCSlkESwoKMCmTZs+m567S5cuOl+jCqtWraLHN23aFCkpKQAKf5dubm68c1haWpZIIWBtIpFI4Ofnh7lz5zLepLJly+Lu3buYMmWKoKJ48uRJAEBUVBTPY1xUUoYmTZpg+fLlGDt2rMYQM2IghXndjnCZeFDQ8+QYFAFrnyD8cvQyDp08x+QAignXKJ0yZYrW58itreXj41MkY1yTNGvWDL6+/3jMGjRowBgDtWvXxvHjx3H58mUMGjSId3xYWJjOhB1mZmZ48+YN43Hj5jGqEyBw2SBlMhn69euHOXPm8LykCxYsQFJSEm7cuMEYCn5+fkhLS+PlXnLnS1HmjLm5OUaP/n/sXXdYFNfXnqUtTUBEAUEsWBAb2FBjsGI3YoliA1GxYe+9F6xYMHaMsUWxl9hbLAjBiCV2iQUVRQVEOjvv9wff3N+9OzO7CzaS7Ps853l25065M3Nn5px7znnPUEnWQkNDQ/To0QMXL17U6f7TolQqMWDAAKboeWhoqFYP87Bhw8DzPPNdq1ixIvmt7kXSdSKlY8eOaNasGflPX9O+fftix44dzERNhQoVsG7dOtmSE4UZeqNKBnqjSg89vh26du1KXrACCQENWrFbs2bNF+1LVlYWYmJicPHiRbx48YJp27ZtG+lH8+bNmbyp5ORkRkG/efPmF+3nvxE07fmYMWPIO5jnecZgrV69uoi+XhN4noevr69GRcDFxYXxeJ05c4a0tW/fXrTPX3/9lbQHBgaC53lcvnwZY8aMQWBgICZOnCgblpKQkEAUTyMjI6xcuRJpaWlITU1Fv379RH2ztrbWyKQmxbDl6uqKoUOHok+fPsToMDQ0FBl/CQkJ+PPPP/H48WNJg55WWm/cuMG0Xb58+bPUYfoUsbKywtSpU3Va18DAACdPniT979Onj87H0UrCoTCAaekaqNRxBDovO4ZKY3fBue9KOPZbzRhQ9n7zYFa+LkwcysOsXG0YFf2fcV4Qeno7OzudDPrc3FyiYNPHUSgUqFWr1iex2GmSUqVKEe9tTk4OvvvuO+beZWdnIy0tDeHh4ejSpYvWnB3a4HBzc8PRo0fJ/2HDhpHzzcrKIvmShoaGiI6OZq6FFGMdLWZmZoiOjhZNcmiTDh06YNiwYaLraWRkhLFjx8LX11fyPs+bN4/0LykpiTEcdRU6HG/gwIGMR8/MzAzNmjVjvLEcxyEsLIz0tUiRInj9+rWs8aRpssTGxoZ5R8mx4wrFm+mJVCk2z38K9EaVDPRGlR56fDv06NGDvGDpj5+AkJAQ0q4evvW5kJ6ejmnTpjHEBcJsuFCMMDMzk5lhq1q1KhYuXIgZM2Ywiq23t/cX6WNB8K08X4InrkGDBihbtixq1qyJWbNmaQw/i4mJYT7GFStWRL9+/fIopKmPs7+/PypXrgxzc3PY29sjMDBQK/NVZmYmgoKCJI2AevXq4e+//ybr5uTkMGNu+fLlov3RoXqNGjVC/fr1JZWNtm3bkoK+NNTr0hgaGuZbqR42bBjOnTuH0aNHi9p69+5NjH46h2vNmjXgeR7Hjx9H8+bNRQpreHg4M2aEa29oaCg5lqRm3QUFSpekdkEBVF+WH7p5KY+ZnFhYWODRo0cAWE+G+qw8LQqFAn369BHngf2/IVWi2xy4jN6rMQ/KeehWFKnZDhyXv3usyQNmbm6Oa9euaRz3NNTHib29PSIjI3Hw4EHJa6gpjym/4ubmJiKFqV27NtM/KUIRIWxMSpYtW8aQvtA1m/744w+yXMpDGxcXJ7tfpVKJcuXKMdekWLFi2Lx5MxITExEZGclMNhRUaBp1S0tL7N69G7m5uTh79iyznqGhIfz8/ETb//jjjxg5cqSkQUx7hxo2bIjExEQAed8DuvAxfY7Cdbpw4UK+iv4GBQUhNTUVR48elc2dMjU1xeHDh0kf6Ly6z8Fa+K2gN6pkoDeq9NDj22HVqlXkBevn58cob6mpqczsmq7MQPlBWloaGjZsqPEje/z4cQB5BR81KRt2dna4f//+Z+9jfvDhwwcsWbIEbm5uMDAwgJmZGVq3bo3ffvvtqxhZt2/flp0JtrS0lE0qB9ixILe9XFtwcDA2b96MPXv2MAVRaTx9+hQhISEYOnQoJk+ejMjISHJNMjIyMHfuXFHeVLly5cgMq4Bz587p1CehPSwsjGEEzM3NZcJuCiJmZmbo27cvY+jTUqZMGVy5cgV79uwhyxo3bqw1X2jQoEHkmtChXZGRkaLrKUVP3bp1a9y7dw8jRozQ6Ty6deumcx5OuXLltF5vKaHD3YYNGwaVSpXvMCuO48AZGMLI2h5mrnXgMmQzYzhVm3EcQ7Zfw9IT93D5YSJ2/fEMQxdugqGlLTiFAUqUKIEJEyZg6NChaNu2LUMgIhWm1aRJE2RlZTG03VZWVsT4LlOmDLkP79+/x4oVK9CjRw/4+fkhJCRElGtI5w/KCZ27s3PnTqZm1eeWJk2aoG3btihVqhRKlSpFJjxsbW2ZPEgp8fDwQFpaGuPZ9fT0RNOmTeHn58dQwdMeLAEqlYpcCxsbG7Ro0UKjcd66dWtGJ/z48SPTPnXqVJ2p++3t7TFnzhxkZ2czE7TMWKQAACAASURBVIrC9Vf3CM2bN48pliyIs7MzVCoVoqKiRG30RJRU1ISUB65+/fqk/cqVK5KEIrQYGRlh9erVzH4fP36MUaNGMcyBpqamWLlyJXJycvDixQtmPNeoUeMfHfKuN6pkUBiNqlu3buHatWtfpLibHv9u/NPGTnJyMqMoNW3aFOHh4QgNDWVmhxs1avRFjk/P4BoaGqJjx44YOnQokyBvbW1NkmgvXrwo+cFp3bo1Hj58+EX6qCuePn3KxMWry+DBg2U/Yp9j3Lx7947JN5JSGE1NTTWGRx4/flz00ffw8GBCsBQKBSpWrCg7k21qaoqBAwcytVA0IS0tDY0aNZK9bmZmZrh8+TKAPAW2bt26onVcXFw0Mo1VrFiR8YgBwNWrVxEYGMjM4hsZGcHPzw/jx49n7qWxsTHOnz+fr9AgCwsLyVludVHvs1BMOTw8nFGAHj9+DADIzs7GwoULZe9xfkXX2kEWFhYYPHiwxnUsLS1x6NAhUf8Epdfa2lqkzIrk/40nk5JuKFK7A2xbDYNjnxUoNXI3Y0hVmX4cU/ffwu0XycjMETN20iFZgsdbwP3790XeSdqT6u/vDyDPyyqMfRMTE2JEOzo6AsijSpfyVhgbGyMkJAQ8zyMhIYEpsisl1atXx+LFi8n/1atXM6GVBQlPFJ4dExMTjUQvtFSoUAEvX76ULYhrbGyMM2fOaB0HgpQuXZoUxBZAhw22bdsWEyZMYLaROle6fpJKpRI9LydPnsTMmTPh5+eHHj16MGF0V69exYkTJxAZGckQaqSlpWlk7xwyZAhUKhUTyki39+7dG8OHD2cMukqVKhEGQ6VSKfm+owlH6AkwOjwWAIYPH07aHBwc4OnpiXr16mHixImidxkNnudFnnCpKIFPKZVSGPQcvVElg8JoVBUGukg9/pn4HGOH53lcvXoV69atw4YNG754jhCdryQlNjY2kvlWn4rU1FQyO2tiYsIoPllZWQwtt3oY2J9//oktW7Zg+/btRNn8lsjNzRWFylWtWpWp8cRxLEMajc8xbuiwOU9PT5JP8eTJE0ap69mzp+w+eJ7H1q1bGeOB9g56enriwYMHAKA1n8bLywsfP37U2m+akU+hUKBVq1ai2XJjY2N06tSJoQqmad43bNjArC8V/ubm5sbQGmdmZmL9+vVkXSHU7MmTJwDy7iltFM2dOxfJyckYMmSIZKiNubk55s6di3r16hVIARbE3d0dPM8jPT2dyRU0MDCAh4eHKJRr9uzZ+cpR6tChA9atW8ecg64sf3IhRoIYGhrCyckJAwYMkA3L5DgOChMzmJWvC5vGgbBrOxpWXl1gUbUZbFsMERlPtJQavRdOgzfjxwW7kZKRLTekoFKpiHJepUoVUfvMmTM1noednR3xbkoZGN999x22b9+u9XrNmjVL40QLx+WFfuXm5mLAgAFk2a+//ioZWlqjRg3ZQr4cJ2ZONDMzw65du2Qp04sUKSLyoE2bNg1AXhhf+/btP2ksc1weVfedO3eQlZWFPXv2MO/E8PBwnbxMpqamePHiBXbt2oVZs2ZJhsgplUoEBATg8OHDZFn58uU1emNUKhUOHz6M9u3bo3Tp0uSdYmdnR7YTJi0cHBy0eht/++03ZrxIhYjSuW2TJk1inp2ePXti8eLFovt18eJFre9RGsnJyQxhhbq0atUq32ykNAqDjqw3qmRQGI2qe/fu4datW7h379437Yce/zx86ti5cOGC5EezQYMGWl9gb968QUhICFq2bEmKc169elUnF/++ffskk2QbNGjwRcL+gLxwPuE4AQEBovabN2+S9pYtW36RPqjj9evXiIuLYxjwdAH9IS9XrhyZwcvNzcW6detIm4ODg2jmFvg87xzBEFEoFMTwEZCWlsbMuEsVyFWpVFqVc8GLEhsbK9nu7+/PzNwLCpocUlJSiKdUqVSSMLeMjAyNiep0Hk7Tpk0ZhsKhQ4ciKSlJkoL5l19+AQA8f/6cqYlDi4mJCbZv3w6Azf+g8/WGDBlClqtTY5crV+6TWfiE3KM7d+5o9DBMmTKFjJ1jx45h7NixaNy4MRo3bsyELbVo0YK5LyNHjpRU2qW8BN7e3lpDwkT7MVLCzKUa3Bq2gYlDeVhW94FljVaw8faH3Q/j4Ry8RWMelMuYfXAK/gXFO02FdcOesHBvDOPiZcApDKBUKnH48GGNegLP88RYLlu2LPMOVKcmlxMfHx9cvXpVsh7SihUrGOOgd+/eiImJwc2bNxkmOHoc0GNW3cu7bNkyYlxYWFjg/fv3st4iTV4rFxcXnbxaFhYWWL58OWJjY/Hnn38yxpipqSlSUlLI9dJGNFO9enWcPn0aKSkpOHr0qNY6aILUr18fkydP1nlM6Rp6Sp//4sWLNb5/1EEbPELJBXqZpnwnCwsLZGZmMu/72rVr49mzZwDy8kUXLVpE2tzd3ZGdnS1Z048WqdpXuiA7O1t2DHFc3reooJOlhUFH1htVMiiMRpUeenwLnDx5UuOsXZEiRWQTS3fs2CE7i9ylSxedjITc3FwcP34cy5Ytw6pVq3Sq+/Mp2LdvH+njnDlzRO3p6emk/bvvvvti/eB5Hj///DNTZFGpVMLf31+UzyMHmjRAKO5Jo2PHjqT9SxVSFhS1ChUqSLZ37tyZ9EHw7t2+fRuDBw+Gq6urqBBv1apV0bZtW0ZJKV68OFJSUpicJJp2PzIyEtevXyfKZIkSJUQ1bGjQxmi/fv2YtqysLAQHBzN9MjMzQ//+/ZlkeNqrVq1aNfA8D57nCYEJ7Wnz8fFBZmam1pwehUKBc+fOIScnhyyrVasW6Rs9C/zgwQONXhlBpJ5tNzc35tyE3/PnzyfHSkxMxOzZs1GuXDkoFApYWFigY8eOOHfuHO7evYtjx47h999/Fz3jNHPnxo0bGRZHOaELgdP3fdy4cRoVNNMyHijatD+KtR0N+x9nylKY0+I0ZAuKtRkF6/rdYPfDeFQYsAol242Aabla0IVUonz58iQsVAp0WOO+ffsAIN8FdeWEVq5r166NsLAwbNu2jTBj0rkrwr2Ni4tjQpfljJ+xY8cy3lttUpDQQHp8AcDs2bOZ9kaNGiE0NFREad6uXTv07NmTGOgKhQLly5dHy5YtsX37dmRlZeHu3btajy+UCKANMFdXV+zatQvR0dE61R7TJp6enpKTR5qwefNmsr2DgwO2bduGFStWiPbdoUMHzJo1i8kFGzJkCIC8nC+aPMnQ0BC1a9cW5V8KEzxZWVmYNGmSiLDFxcUFa9euLXDeE53bxnEcKleujCZNmjDvw7Jly2p8Pxdm6I0qGeiNKj30yHux0vkwnp6eWLFiBRYvXsyEj3h6eopesseOHdNKr9y1a9dvdGbyuHbtGulfvXr1ROe1a9cu0t6jR48v0geVSsUUFlYXCwsLnD17Vut+6Bh2Kca50NBQ0r5t27YvcSpk5tzCwkIUdsfzPJNjkpiYiLCwMNlx4+joSOL21cMaw8LCyJg0MTFhwt3u3r0LAEy4oabw1R07dpD1pIo2JyUlkfb69esTJYnneUlPlFB7ilaeGzduTMJ23N3dsXXrVtImRYkuSLFixZhZZ2dnZ3Tv3h2hoaGMFy0mJgaZmZnYtGkT6tatC6VSKXldK1euLFpGK1q0UduwYUPJ6yU8IydOnBDVDytatCgmTJhAjCs6J2v69OngeR4LFiyQDI00MDAg9d20zZxzHAeF0gLGdi6wrNESdj+MlzWanEf8Cpcx++AYuAr23eaiV9gpLD1xDxPX7YehiTiUatasWaLwRk1iZmYmypcSQBuVJiYm6NevnyTRjTZSgPyIcJzjx48zy4X317NnzzR6cjp06IA7d+4QQ6mguVTapH///sy1ysjIkByf6vcGAH7++WfZdapVq4aIiAiN/XZ0dER8fDxev37NrKdeX5CeiCqICN7m/CArK6tA48He3p6h179x44YsiQ3H5XmY1ZGWlobjx4/j119/xYULF5CbK84T1BWZmZmExVOhUGDXrl3k3fHixQvmnb5z584CH+dbQm9UyUBvVOmhB7B7927ykmvSpAlThyktLY0JVbpy5Qpp43meCRfs2bMn7t27h6SkJKxbt44JmZCiTP+W4Hme8RgMGzYMiYmJUKlUOHLkCPNRUk/i/VxQn4X08PBAp06dmFlDGxsbUnhVDnS9LylPFO3JEoqgfm707duXHGP06NGMkUrPwNauXRsHDx5kzltK0a5SpQqysrKYuiYclzeLLczQ0t4VNzc3cky6L3JKLwCGltnHx0fUThtdffr0YdqkPC+enp4YNmwYozzTynW9evUYA5im9pYSOeVQfXmZMmUQEhKC9PR0vH//XjL8j/YUaqM8p9nl1LF161aNSqu3tzfS09Px5MkTsl7x4sVJGNLLly8xc+ZMhiWMrkH37t074n00snGAmWsd2LUfi5L918Bp4EY4D90maUQ1mbYTVvV+RJE6HWFcoqyoX2FhYcjOzmaug5RUqFBB8vxq1qyJY8eOYefOnQxZiZeXF3N97t27hx9++EEng6Rp06bIyspijGc5sbKyQlBQEHr37q11Eks9t6lOnTpksiU5ORlz585lwq1NTU3x888/Izc3lwmJa9iwoYh8Jr9iYWGBAQMGiIxVgVVVwPTp0yW3L126NDZu3Aggj5lOfWyrh8Spj+1x48Zh4MCBzKSB4GlVv+/0e/bp06caz2v48OHMNezTpw9DDT9w4ECyL5VKhRMnTqB///7o0KED+vXrhxMnTkjqmomJifD29tb5+laqVEkyoiEhIQHTpk0jEzdKpRI//PADzpw5I/tsfy6cPn2a9O/HH38UtdPU8Z06dfri/fkS0BtVMtAbVXroASYO/8iRI6J2ur7FwoULyfKYmBiyvFatWiJvz08//UTaBw0a9MXPI7+gQwA5Lk9ZVWfT8vb2/iLvhNzcXCZ8g56x+/DhAxP6oi02n/aq1ahRgylefOjQIaKI2Nra5jtfS1dcv36dUSTd3d0RHBwsoqzfunUrQ6M9cuRI7N27l/yn2eR27NiBhIQERiEyNDSUnIVdv349gDwCEkFhNzY2lqVYB/LuAZ2TNH36dKSmpoLneZw6dYrJW1H3GGZkZDD5DlLSoUMHdOjQgfyfN28e8bKZm5trrMVTEHFxcWHOhw75k/KsyUnVqlUlr9ezZ88YJbZKlSoICAggoYHC8qFDhwJgZ/uLFCmCAQMGYOzYsQwxhaOjIzIzMwEAiamZ2BPzHL03RMJ90gHNeU/jD6Fk/zUo5TcTt+KTAeSxR0olyDs5OWHcuHGyeWzaxNHRkclFzMzMZDwrv/32G1QqFWJjYzXWvaKlbNmyTHiYv78/004bTjVq1EByct450hMBgkydOhWtW7fW6qGh81O3bNlC2mjFV1sOU0Hk3r17ohpMjRs3Jsd88OABY2SvXbsWW7duxblz5xiPSatWrUT73rNnD86ePSvKLeQ4dqLk+fPnxLAzMDBg3pmCFC1aFAMGDED//v1FhumiRYuYyZqtW7cyhCM7duxgQg9p72CtWrUkr0vNmjXx9OlT0XPG8zzOnz+P/v37o02bNujevTt27NiBixcvYtiwYejSpQv69euHw4cP6+RRys3N/ar05XSB9EWLFonaaVp6ehz8k6A3qmRQGI2q58+f48mTJ3j+/Pk37Yce/zwUdOzQFLWXLl0StdMvyblz55LlO3fuJMsXLFgg2u7t27ekvVmzZvk/oa+An376STaxv0GDBlq9RAXFn3/+KfnxF3D//n3Sri2nKysrC66urmR9pVIJHx8fEenI9OnTJbf/XO8cbbWmBg4ciDt37pD/QjgpTTxBhwm2bt0agLRXSF1Be/nyJc6fP88YOn5+frJ9vXXrFlasWIEff/yR2ZdSqWQo3Dkuz7CWUkpSU1MREBAg8hwoFAq4u7vD0dGRLLO0tERCQoJkXaZ69eppTELv0aMHYmJi8hWaJoimEENa6HMQwhgFZGdnIywsjFF8jY2NNTLLhYaG4tWrV8y4NLCwgaVHa9g0CkBx38lw7LkQnUOPI2jLH2i06KzIcHKddBR1Zx1Fs/Fr0WnIFHQfMR0LN/6KP2/cQoWKefWnDA0N8fr1a9LXu3fvytZKo8XOzo6pYaVJoqKimOvx9OlTUR5b6dKlGWPf0dERY8aMwciRI0XjSRgjQlFUQMwISId47t27l6zXrVs3jfdOkxQrVgxXrlzBvHnzmMkj2hOfH9p+KREMO3r/27dvB8/zTN4ox3Fo06YNWrZsyRj/vr6+ks/ry5cvmXtHH69z586i/EeO45jrC7DesLCwMBKWq4tXMS4ujgnr7dGjB+bPn0/+b9u2DcuWLSP/J0yYgOTkZK2TGa6urqRkx78FtBfwhx9+ELUfO3aMtEt5srShMOjIeqNKBoXRqCoMdJF6/DNR0LGzcuVK8pKjwxaAvFkzOs9h//79pG3//v1k+fDhw0X7vXXrFmlv27ZtwU7qK+Dhw4cYM2YMPDw8UKlSJbRt2xZ79+5lwiA/N86cOUOuzbhx40TtPM+Tj74ULbM6/vrrLxGFOi2dOnWSPZ/P+c45evQoGjRowBzbzc0N69evJx4gWvEQzpUmTRCUxGrVquH+/ftMmKa20DVBLC0tsXXrVly/fp2ZzX306JHGulTqUrduXSQmJgLIU6b37t2LPXv2MFT6z58/11jEVqlUEg/wlClTRO2xsbF48eIFevfuLbn9jh07tHrF5KRYsWKSSj3dN7rd0NAQ69atQ4cOHeDm5obq1aszxmF+ZMeOHXj+4hXaDJkJB7+5cBl3UCuBRJMl57D81APsu3QbtRvIh0HRfe7WrRsyMzORnJwsomeXmjApWrQoGRORkZEihj1jY2PGq0XXw7l586ZW47ZatWr48OED2eb9+/eyhZfr1q2LTp06Mf20tbVFr169mPEhQAjH02SE06LN4OrUqRN4nkdiYqJogoHj8kI3w8LCsH79elkyIh8fH/Tu3Vs2X1DIL3r48KHGfru7u5NnTR1Xr14l6+ni4VUvJg+AKX2wevVqBAYGkv/m5uYaWTMnT56M9PR0pnAzPQ5CQ0OZcXT79m2GrKFs2bKIiIhAfHw89uzZwxS2lyJK+icjOzubCRtdt24ded7u37/PTGbQEwa6ojDoyHqjSgZ6o0qPfxMKOnbevXvHfDBHjBhBCuzRYSnqlNxv3rwh+SNWVlZMUUCVSsV8pOVqJP1XQYeK0MxuAq5cuULadfXyvXz5EmPHjmU+/J6enti0aZPGMJEv8c75+++/ERkZibt37zLKTXR0NOlb+/btyXJaIaMVHXoWWWDo0uZhUJ95LlWqFBYvXoyHDx9qTODmuLxZcGdnZzRt2hTbt29HdnY27t+/L2IiFJRJgQgjNzcXq1atEhEBVKxYkZCD/PHHH+jatatoP/7+/mjRooVsn+gaQhzHaWUPlBKpIrFSoqvRSoutrS0uXrz4v34aGMLEsSLKtB2CWnNOMkZT43lHMHZ7JNaef4QD1+Ox9MQ9zDn8F7ZdfYJXyXl1vBISEnTyNtFSokQJEakJx+XlLamzudnb2zNjlfYwSF1zKysr+Pn54dSpU4wyLIg6uYCU53nixImy45MWAwMDXLlyhfFc0Uq3QACgrWYRLVIhiQqFAoGBgcjMzMS7d++0EkU0a9aMMQzpfdKeTannSyCQSUpKkjTMbG1tMW7cOI0eG3qCThcJCQkR7YOuv3Ts2DG8fPlSa400mrQjODiYKWcgiLoxJhAzCSGJCoVCRP9NF4AuXbq07Hn/U0GTI3FcXgiup6cnM/YrV65coInLwqAj640qGRRGoyotLQ0fP37MNx2nHnp8ythZuHCh1g+VFHMczV5nZWWF4OBgzJkzhwk9s7S01Jjb8l+EejjM5MmTyX27c+cOoziHh4fna9+5ubl4/fo1ycPQhq/5zlGfxfzll18wZ84c+Pr6ajSWSpUqhdDQUJ1DnaSEDhuilSZ69tzIyIgJK/nrr78YI1VdihQpQkhYHjx4wHjcaNHkRVQXdcWdDonkOI7J09KkCMqJgYEBk7v2qWKgtMDkn3ajbLepcAhYLqI095p3GstPPcCTt9qLMQNsjictLi4uBTL6pIRmS4uMjGTa8mOw1KtXDwCYCSSlUikyEI4cOaLT/jZs2AAAePz4MbmPZmZmCA8PR1ZWFkPVLgit1Au/TU1NGaVdIA2ytLTEjBkzSC0yABg6dGi+r5+3tzdz3D59+uDEiRMi9sa6desCyJtkofNE+/Tpg6ioKMTExOhEq33p0iVmv3Xq1MHSpUvRq1cvyXeCmZkZ1q5di7S0NLx69QqjRo0ibc7OzkSZf/bsGUMeI4i1tTUWLlwo6VnWJC1btsTHjx+RkZEhugbqoBk0v1Su67cCz/NMWoG6lC1blvH25weFQUfWG1UyKIxGlR56fG3wPK/x46FQKCRn/oA8tiI5RVL4yEdERIDneURHRyMsLAyrVq3CxYsXv2rybGEETdAgKDzqno5y5cr96z64CxYs0ElBMTY2RqVKlRASEoLHjx8zYT916tTBokWLNOb1FFSaNGmC+vXro0qVKszsfMmSJTFp0iRMnTqVYf6qWLEibt++rbMyrlQqJdctWbIkhg0bxtTeUvfW6SKrVq1imMgEsbOzw7hx4xAXF4fs7GzJdWTFwBBKJ3conavAwr0xrOt3g1XdjijaLAguY/aJwvicR/wKe7/5GLH0F2Tn6v5NzcjIIGFUtLIskLXs2bNH1Dd7e/t8G9utW7cmEz2zZs0q0DgxMTHBpUuX8Ouvv6Jp06ZMW0REBHNedKiZlJiamoomrdTrTZmYmEiOBSkPXVBQkCRBgqenJ3OM1NRUYnDlx2Bt3bo1RowYodO66t4rCwsLUYFwbaAZTDku75vUtm1bjBo1SrJwvCb5+eefRfu/ffs2li1bhjlz5mDbtm2kLATP85gzZ45k2KKFhQWcnJxQpkwZtGvXDgcPHiT6Y05ODrlXFSpUEH3reJ5n3l3/1HpNmsDzPI4cOYJWrVqRiBZXV1fMnz9fsvQHkBfJMGLECPz4448ICgrCkSNHPone/UtBb1TJQG9U6aEHW1NG+MCrV5AXKrBLITExEYGBgaIPT506dXD69GlER0dL5pxUqVIF58+fL1CfVSoVHj9+jJs3b8q+oP8JWLx4sezH38XFBffv3//WXfzsyMnJEZFoSMnq1avJNjRZhZ+fH1QqFaKionRSoj4Hy55SqSRhTEDebCmttKqHq1WrVg2+vr6i50gQQ0ND2bZPERMTEyQmJuLevXuitho1apD+P3nyhBgi6oq6XelKxHgyr9wIRZsPlDScaCnZfy2KNhuAItWbwzdgCDiDPC/G1q1b8zU26LBYoV9OTk5EsVKpVCSfiu4/7dk1MDBAVFQU3r9/j7Vr18rmAimVSknWuPyIXFhlvXr1kJSUhLdv3zJFjS0tLXH27FkMGDAAjRs3RsuWLRESEkIK99LIzMyUzHPSJkWKFMHjx4/h5OQkur+zZ89mjkF7gKTqaKmPLaljSS2Xy0+ytrbWqfaeOgTvtqa8J0HoOnXqfSpoGPrbt2+xcuVKDBkyBKNGjcKBAwe0hq7RuaXquUM086zg7fw3g+d5jcbR+/fvRcWeBXFzc2PevYUBeqNKBnqjSo//OlQqFcPQtWDBAkJxfOPGDcZzoj77qo63b9/i8OHDiIiIwI0bNwDkhdbIKTUcl+eNyE8dqNzcXKxcuZJhVTI0NETnzp3/sXmIMTEx8Pf3h729PSwsLFClShUsXrxY5/C9goDneVy6dAnDhw9H9+7dMXz4cFy6dOmLeA8zMzORmJhIjPKUlBTJMWFgYMCMRWtrazJjTCtKW7duxbFjx9ClS5dPUogdHBxw4sQJWQ+TurFRrVo18mwALCsmLUKhUoBlyMyvsl6Q4qvDhg0DkEfLr64MOzo6kn7NmjULBuY2UJaqhlIe38PCvTFsfQbBMXCVrOFUasSvcBq4EfbdF6BY6xGw852E4r6TYeZah/R57dq1jNFDh1LeuXMHAwcOhJeXF77//nvMnj0bHz58wLlz5+Dn54dKlSpJ5iw1aNCA7CM7O5t4DzUZAQMHDiTfcrq0gybR5u36HMVw6ZIUuoDneZw9exbdu3eHu7s7qlWrhoCAABEZjLpIsT5aWlri1atXzP7Pnz+v8d2sq/e1XLlyGDFiBKZOnYrTp0/jzZs3CAkJgaenJ5ycnFC9enVMmjQJ06ZNQ+3atVG6dGnUqlULCxYskCWnoCGMKScnJ8yfP19UP4sO7b179y4iIyMRGBgILy8vNGzYEBMnTkRcXFy+rv2nYvv27aRPhoaGCAwMxPr169G3b1/GOMzvxMO/DdnZ2VrHs4ODAxOy+62hN6pkUBiNqo8fPyI1NZUoE3rooSsKMnbo2f6mTZuK2k+cOEHaO3bsmK/+8DzPJEBXrVoVK1euxE8//cTM8js5Ocl6wWjk5OSgU6dOsi9eU1NTnDhxIl99/NJITEzEkiVL0K1bN3Tt2hULFixAQkLCFz3mH3/8AX9/f5QsWRI2NjaoXbs2Vq9eTcbFy5cvZdnkvvvuOzx+/Bhbt27F+PHjMWnSJBw6dKhAIRgXLlzADz/8QBQIpVKJVq1aSbKnWVtbY8WKFQCAHj16kOVbtmwBAI1EDuoyaNAgWSY9denYsaMozEqTCP0Rzk9K8U5NTSXr0Cxu2sTIyAgdO3bE6tWrmedOV1EqlcTo27hxI9tuYITKdRsjKu4dTv6VgBojNsJl/CHpGlDjDqJk0HrYd18Ax8BVcAxcBQv3xuA4zUZFs2bNmJpiXbp0AZBXcFbu/uliqJiYmBBjYNOmTWS5YATRHj/aMKpQoQIGDRrE5K7Iib29Pfr06SPbPmrUKCxfvlyyrWjRoggKCtJ6jMmTJ3/WSQv1wtgCiYWUmJqa4tixY6J9vHr1SkQGI2XY0mJlZYWAgAC0bduWud6D/xCB1QAAIABJREFUBw+W7WtkZKRkTqNw/S5evKjxXGkK+8uXLyMnJwfXrl3D+fPncf36dRIyamZmVmh0J5VKpXXip3Pnzt9c5/zWoGum2dnZYf369Xj8+DEOHDjAeKCDg4MBFA4dWW9UyaAwGlWFgdlEj38mCjJ2Dhw4QF5a48ePR3x8PKNA5+TkkPb69evnqz90wceaNWsys/w5OTmytVjkQNcF4bi8ZGnBw0N/8HWZ+fySSE1Nxb179zB37lzJWHxjY2MsWrToi3iF5s6dK/sBd3Nzw507d7QyfUnN2JcuXRpnzpzRuR8rVqzQqmRKSVhYGJPUP3HiRCQkJOhcVJXj8jxF6jTZms5RkydVXehilVK1cQwMDEgCtab6WsWKFZNU9oV6b/kxxmiZM2cO1q5dByt7FyhdqsHGOwDFWo+A0+DNkgaU0+BwuI7cAafBm2HrMwiWNVrCwFz3ay0n5cuXR0JCArKysmSLn6qLqamprPfJ0dERXbt2lQz/or2YzZs312io2djYMIpaxYoVsXTpUqSlpYmMFCHHyNLSEmlpaUwRdE1Cjz03NzeMGjXqi4Qv8TyvdfLAwMAAPXr0ICyVUqAJYooVK4aAgAA0b95cMseqRIkSSElJIdteu3aNhECamppKEhI9f/5cRIyi/t/KykqjJ4meJHB2dkZERASSkpLw+++/MwZX3759P+2ifmbk5ORgypQpoveRlZUVJk+e/EXLdvxTQBeIV//GJCQkkPFVpEgRZGRkFAodWW9UyUBvVOnxb0JBxg5dN4j+sI4fPx5v3rxhKLCFYqy6glbwN2/eLGqnDTpnZ2e0bt0aoaGhSEpKQm5uLq5du4ZTp07h1q1byMrKIvVyFAoFjh49SvaTnp7OsE5JVXH/FERHR2PatGkYOXIklixZghcvXkiud+fOHfTq1UtrboIggmdGE3iex8GDB9GiRQuYmZnB2NgYNWrUQFhYmIjAQp2W3MLCQpTETbPQCQqqkZERXF1dtdJuGxsb65QDRxd/FBTili1bSippo0ePZmZzlUolwsLCyP9Ro0bJznDLyedgiBs/fjzWrl0rMjCdnZ3x8uVLzJgxgyjv6sebN28efHx8tB6jQoUKIgOgdOnS4HmehN3Sx6eVD3VRGJvCxKE8bLwD4By8VTaEz2PWCTRfeh6t5u6DUdG8ECpNNbbyK6ampggMDCQ5QuvXr2fabW1tMWbMGEmj8fr161oLPUtJgwYNyDNnbW2Nbdu2oUmTJpLr+vr64sWLF0hPT2fYw5KTk2WJO1xdXfHq1asC5V+1atUKQF6B7p07d6JVq1Zwd3eHl5cXZs+eLQrHyy9UKhVCQkJEZBAODg6YOnUq4zWVQ37qtnXr1k20PU0zvmfPHlH7mDFjSLu3tzcePHiA2NhY7N+/H3Xr1iVtQuiqFDIyMiQJOWixsbFhWA0LE1JTU7F3716sXbsWe/bs0em+/FcgsKs6OTlJTjR27NiR3OOHDx8WCh1Zb1TJoDAaVS9evMCzZ89kFTc99JBDfsdOamoqM8unLs7Ozsws8/r16/PVH7rWivrHNiUlhfmgqitm6koCnWsjVaX9wYMHpP3777/PVz/l8OTJE8lYb0NDQwwZMoRhbDp79qzG/IOmTZvi+vXrDH2xpaUlM+tLIz09Hfv27UO9evVk91mjRg28fv0agJhNaubMmURpjImJ0RrSoy4WFhY4evQoIiIiGGXe3d1dq4eNNnDHjRuHnJwc3Lx5U/I4derUQWZmJhM+JSTYcxzHFGH9mnLo0CEA7BiWk4kTJ+pcjJXjtBduffPmDRnvtMG2cuVKREdHY+iYiSjj3QXFO06BQ68lcOi9BC5j94tC+JyHbkXxTlNh08APo0O3IiP7fx7ojIwMJlxM14kAdSNQ3RD5888/mbFAK8JFihQhxlZISIho33QdofwK7QmwsrLC0KFDMWLECCYcURAjIyP069cP6enpSE9Px7Zt20Q5Ovm9Z5pk1qxZIlp8QczNzZmC6gVFVlYWzp49i4iICFy4cEFnD4g6SZGU0O81KRbYVatWkXb18g88z5NwXxMTE/K+Er5Vt27dIp5ia2trjfpXQkKC7PvQyckJf/zxRz6umB6FBcJ7yMbGRjINgGbWfPLkSaHQkfVGlQwKo1Glhx5fC/369dNJceK4vJnP/MYwR0REkO3bt29PlHGVSqXTTL6cTJw4UXQsnueJAkqznBUUCQkJWgtD/vjjj1CpVDrXT5o7dy4AMLkbgqGampqKjRs3YuDAgahbt64kY52FhYWIQtzb2xs8z+OPP/5glqnj2LFjkvfZ09NTVqEUPGE5OTlMgdPff/8dQF5s+9q1a9GwYUOUK1cONWvWxNSpU8m1oOvB0Lkw6iFclSpVkqRnLlOmDPM/v9TJnyLdu3cnY1Vb6GH16tVlGcd0Fdp4Cg4OZkJjBbFyrYnvpkVoJJIo7jsZ5hUbgDM0Zre1skJMTAy5nxkZGTh58qTOxpSU+Pn5MSQQCoUCHz58wJs3b3DkyBHs37+feS6EnAgAkkVUaeWdvp70hAotlpaWTD5VfmtvlS9fXrIGmabwQU1t9evXx86dO0UeFfVtjI2NRf8jIyML/K7ieR6RkZHYtm0b9u3bJ8kkKIX379+LvNMKhQKlSpWSZcwMCwsT7YeeRFEnHcrMzCRtNOEIDXqsy00yCVCpVDh58iR69+6NZs2aoVOnTvjll1+QkZGh0znrUfhA50n/9NNPTFt0dDR5fkqVKlVo9HO9USUDvVGlx38VCQkJ5ONubm6OZs2aySoLlpaWiIqKyvcxMjMzmdnwnj174urVq8zMJsflzQLHx8eL6hcVLVoU48ePF81OVqpUSeQtOXPmDGlv06bNJ18fOl+mTJkyWLduHS5cuIDJkyczs9Z+fn4aFbeyZcuSj4KDgwOysrKYvo4cORJbtmxh6iFpkpYtW+LKlSskFJLj8hK3Dx48SP7T7HMC6Nw4jsubNRbo2nNzcyWJK2hP3Lp168jy0aNH4/r16yKjR13c3NyIgkfnRGjzCghjTr22D+2NaN26db5qVHl5eeXLkFcoFBg2bJjIU6bJCKE9bJ9PFLBp0A3OQ9mQPsd+q2H9fS+YVagPs4r1YVqcnQBwcXHBiBEjmGttb2+PRo0aEUPH3t5eY8FlTVK1alW8fPmSoZK3srJC8eLFZScYRowYQcbT+PHjNd6rJUuWMONI136VKVNGdI8MDAzg7++Po0ePYvLkyTrl0OU3hLR06dLYuXMn8x7VROVvYmLCPD+6hFa/e/cOERERCA8Px8mTJ5GTk4OwsDCRV9/ExAT+/v64ceMGnj59Kuu1Cg0NJdvoUuKA4/KIBI4dOwae5/Hx40cmD83JyUl0LJVKRe6Hvb29yBORm5tLmAoNDQ11IizS498F+nuoUCjQs2dPbN68GaNGjWKeISHftDBAb1TJQG9U6fFfBe05GDduHHJzc7FhwwbJMJXevXsX+Djbtm3T+qFetWoVAEiGAwpV19XDsEaNGkUox6OiopjZ7J07d37StUlLSyMz4Obm5iIq119++UX2XMaOHQsPDw+RAir8vnTpElPAtE2bNlqvj4ODA6Morl69Gps3byb/g4ODGSY6gXWNxp9//inar5CXxvM8AgICmDY3NzcAeUrPL7/8IjKgdKWXLlq0KCIjI3Ht2jXRtnZ2dpLGXJkyZXD9+nVJbwbH5SnJ8+fPx6FDh/Kl+OaHkEJK6HM2NDSEt7e36F6ri4WFRYGpuE3LeDIU56VG7YFti2AYFvlfjpmJiQmTh0Qf66+//sLHjx/zlTNlbm6OoUOHirwp6tfB3d1d4zpSYmlpiQ8fPgAQ593RMmbMGMZAVT9O0aJFtRrItDKm7gWSCj3kOA4eHh7MGMlvyKz6GF25cqXW9QSvrUKhwMuXLyXfR6mpqRg4cKAovFhXw6948eKYOHGiiESia9euZJ0//vgDo0aNkt2HukfP1tZW1J+1a9dK9r9Dhw5knTlz5jATYosWLSJtQv6ZHv89DB48WOMYbtCggSiH+FtCb1TJQG9U6fFfBT0TvGPHDrKc53m8efOGmT3q1avXJx0rPDxcdtZWKMaYlJREltHEBAJFemZmpmgfJiYmjMeG4/JycD61Ov2NGzfI/ujE7OzsbFy4cAG7d++WVdBVKhXDeshxHOOFOnjwIJOnRed80CQSdOihpaUlE77n7u6OuLg48r9z587IzMwkuQsGBgb47bffSL9TUlIkw8mMjY1Rv359SSrmMmXKoE+fPkyfpMTIyEhrCJmNjQ3i4+NFBki7du1w5swZ+Pr6Mkrmq1evwPO81toluoR7aSsWWrt2bUydOlUn5ZSW1q1bY926dZg7dy46d+4sOo5wzxUKBUaOHKmTYVXSpSxW7z+PHiG/opTfzP8ZUyN3w7JGK3AGrBLt4eGBpKQkhuq7ffv25HdwcDB++eUXkadXGyGJgYEB5s6di27duulUbFWTqBtEdnZ2GDduHAIDA2WvCb1cavy1aNFCllRC6v6qg058p2XVqlW4cuUK+V+2bFn89ttv5L+pqSkcHBxQtWpVTJ8+XZZ5z8nJCUeOHGEmEjgujwBoyJAhCAoKkmSnvHr1qqivaWlpGvNe8yPly5dn8lA6d+5M2gR2wps3byI4OBheXl5MuG1oaKhsGQaO4zBt2jTZXEt1A9rDwwNDhgwRGfuFrRyGHl8PKpUK8+bNE73TTUxM0L9//0JH7KE3qmRQGI2qu3fv4ubNm4WugrQehR/5GTt0YcIBAwaI2tesWUPax44d+8l9S05ORlhYGHr37s0YTcJHPj4+nlFKhN8XLlwg+9BGWuDm5oanT59+cl9pUgUhb2rJkiWyYWv0jPGpU6fA8zzc3d1lFRtawRR++/r6Eu+Yg4ODiMlvx44dqFOnDvlPexqDgoIA5BV0VVcomzZtyuSdfElxd3cXGbmCODo66pS/IyTCF6ROU0Glfv36OtUyyo+oezlq1aolmb/DcQoondzhFjAfrpOOivKkbH0Gw8HFFbNnz8aAAQPw/fffk2137dqF3NxcRrnX5pWiQ8XUc5LUpXXr1li9evUnX4tP9RCqy6RJk8hvekwplUosW7aMMcrq1Kkjer7l2CR9fHwAAN7e3mTZvHnzyO+hQ4cy+6HzGO3s7DBx4kQcOHCAhMCpE288fPiQbCuVs3n79m1RX2kPveBFlJogWbp0qSQ7oYGBAWPYNmrUiOx79uzZZPm4ceOY4+bk5MDT05O0R0VFIScnB7t27YKPjw+cnZ3h6uqKvn374tq1a1rfqep09eoybdo0rfvQ49+P9PR07N27F2FhYdi6datkfmBh0JH1RpUMCqNRVRjoIvX4ZyI/YyclJYUoVEZGRti6dSsZ+xcuXGAUD10+mvnBlClTyL6DgoLA8zyysrJEM+hWVlaEHOPBgwdEWXJxccHgwYNRrlw52Nvbo379+li/fj1DkfwpSE9PJzPJSqWSCZOREjrHqnz58oiJiUF0dLTGWX6lUskUuT18+DBRECtVqoT3798zCmP37t3RsmVL8p9W2oUZ3pycHMbroy50f/IbuqVNdCHq0CQWFhZYtmwZme2mk9/zK3KG3deW/830/z/1uo0jTMt4okjNdijaqA+KtR6Okv3XMEZUvfmnMS4iFouP30PdNv/L13v79i0AMLWShg4d+knsiOHh4bKsdILQIV7z5s2Dn58fqlWrxhxXm7GsbaxVqlQpX+OH9tzQRqGXlxcAiHLxbty4wTzf9DbVq1dnQlvHjBnDGEP0uurvQZ7nGQKXOnXqYPv27Thy5IjkOyMoKIjRL+iQJxsbG1GB7ezsbOKpMzAwwLVr15h3Ey2010ldtmzZQvKWOI4jLHnPnz9nwg+HDRuG6OhonDhxggmvrF69+mepqbdnzx5mYojjOFSuXBm//vrrJ+9bj/8OCoOOrDeqZFAYjarbt2/j+vXrkrNWevw7kJubi8OHDyMgIADt2rVD3759ceLEiU8ee/kdO5MnT2Y+cA4ODqLZzi8R5/706VNG0apTpw7mzZsnSpr39/cnzFZ0IvX8+fM/e5/UIcVGx3F5TGRSCqB6sjitxKhLzZo1ceXKFeb6R0REMKxhf/zxB1q1asVsJxUuVb16dWbc3Lx5U6P3QT0P41PDu9RFoVBI0lhzXJ7yTZ+DQqGAq6sr5s6dy7B+8TxPlHl7e3vRddAkZcuWFYVd0VK+fHkmx0NXoQkZ1KVYsWLMdVS6VMsruDtkC0qN3AWXsftRsv8auIw/JM3cN3oPem+8isNX72LWrFnw9fVFx44dmTH0/v17AKwi/KmGLM3OKYhcaKCrqyuj9NPhwbQ0bdoUp0+fli2U6+rqCi8vL7i5uaFZs2ZYuHAh9u7d+1nG45IlS5CUlISdO3cyy0uUKIGVK1fi6tWrWLp0KXOMUaNGacyRFKRjx46S74moqKh8eeLc3d0xZswYtGvXjnkWmjdvLtr37du3SXvNmjXx6tUrxMbGyo5B4bf6M3748GHmfkyZMoUcY8aMGRr7a2RkhHPnzn3q65RBXFwcdu7ciUOHDuHWrVufdd96/PtRGHRkvVElg8JoVOnx70RKSgrWr18Pf39/5gNIS+3atfH8+fOv1qecnBz07NlT9oPq5eVFlLnPDZoNTpOoz4I7OzuLEq6/BBITE2WpnAWhvUUmJiYaWe06deqEdevWISYmhsz60kQL3t7eWLFiBfnv5ORECsDKiYuLCyHyAPKMEdrzYGNjg65du6Jnz55MPtqnKOMGBgayRpNSqWTCldzd3XU6VrFixZgPpEqlIgqnh4cHVCoV9uzZAx8fHxQtWlSj4j1kyBB8+PBBoxHEcRzJP6PFysoK7du3Fxn39vb2knlngtgWs4OJQ3lYeXWGfc+FspTnpSccQZlxB/DjmksYH3ED1XpMhkU1HyhMzNCzZ0/Z8ypRogTjKVBnnDQ3N9eJbl691hIdSqhNLl68SO7NsWPHZL23zZs3B8/zSEhIkGxv0qSJxly4tWvXYs6cObLPklweloGBARlr+aGJL1GiBDZt2sSUAlCX1q1baywncfnyZclnNT/G1saNG5l9Hjp0SBRCamRkJDvBQD+T6vf5/v37iIyMJP9panue5zF79mzJa2Zvb4/jx49/2ou0AHj9+jWOHTuGo0eP4tmzZ1/9+HrooQ16o0oGeqNKj6+B1atX65zXUqlSJcKQ9TXA8zwOHTqEVq1awcrKCubm5vDy8sLGjRs/mfBBGw4ePCgKP1IqlbJFdMuWLftV46gfP34s2Q8TExOMHj0aKSkpWkObTExMcODAAcn95+TkMHkVderU0ejhEsTW1hbjx48XxZufPn2arFOlShXGII6Pj9eZ8ltToVMfHx9Z5jX1GXI6XJFWYkeOHIlRo0YxhoqHhwdjOAgGrUKhwNChQzF16lTs3LkTGRkZuH79OrPPRo0a6dR/TWxuxYoVQ2ZmJoC8/D+6jX52DcysYFquFmy8/eEYuAou4w7CZdxBtvDumP2wbTkUpqVroMp3LVC7SRu0GjwD2377nTnHHTt26Kx004W3k5KSClRfSt0gUb9fmqjL9+/fj5s3b6Jy5cpajzNw4EAmtDU/8uDBA/Js3Lx5E1FRUaL8RE1FttVFjipcG8mJkZER2rVrh5MnT+oU+ibUT5o+fTomTZqErVu34tGjR+QaGxoayo4/CwsL5p2/ZcuWfNfKUveUCyIUQp8/fz5ZNmfOHFH/X79+jSVLlqBfv34YNGgQtm/fTp6Hr4Vnz56he/fuzDtVoVCgTZs2ZNLl3bt3WLFiBYKCgjB48GB9jSo9vgn0RpUM9EaVHl8a2mh1DQ0NMX36dCauf/Hixd+62/lGbm4uEhMT810gmOd5xMTEYPfu3Th69CiSk5MJo5m3tzeqVauG5s2bIzw8/LPlTOmKlJQUck/KlCmDSZMmYfXq1YwxQydzq4uTkxPJX5DDyZMndaZGrlixIi5fvizKvRAwZswYsu727dtF7YsXLxbtU32Gff78+QwFfEFFKu/DwsICSUlJpD/JycmMki4UFQaAgQMHSu7X2tpaRO++dOlSLFy4UKMiamhoiFmzZsl6IxQKBbZu3QoAyMzJRfHqjWBVvyus6neFbYtglOg2DyX7r5UvvDt6L0r2X4MS3ebBuPj/+nfq1CnZe5+bmysiM5ATW1tbQimckZFBltMKqJxnJCgoSOv+ra2tNRrTBgYGX4XwpHLlyqLrpEv/hfNXHwPW1tY4e/Yspk+fjuDgYMycORN3797F48ePZY2cSpUqfbbJm5EjR4rGmfrxhKLgQB6BBW000rmt+Q2NNDQ0xMWLF3HkyBHiyVIoFHj06NFnObfPibi4OI2efktLSwwfPlzSoLazs8PBgwe/9Sno8R+C3qiSgd6o0uNL4t27d8xHQFB6DA0NGbpoNzc3hnGuUqVK37rrOiM+Ph6jRo1imM3q1auH7du3f5bk5m8JnufJDLCxsbEoNDMuLo4o6cWLF0fv3r3RrFkzdOrUKV8zqKdPn5YMH7KyskKDBg3Qp08fHDp0iDGm3r9/j9DQUHTp0gW+vr6YMmUK4x2QKta8f/9+0THosEBzc3McOXKkQF4QXcTb21vUp/DwcNI+ffp0AEB0dHS+vBEcl2dwNm3aVLSdNOMeZSyYWcGqbmfYdZiA4j+MR/OFJ1Bmonz4XukJR1Cy/xrY+82DRTUfGFnb/3/dKGmD7smTJxrvPU2HTouRkRECAgIY4hGh/lpOTg5RzsuVK4dHjx7h/v37krXIOI5Denq6LP23nNjb28saqdWrV8fu3btx6dIlrfTscmJsbIzAwEAsW7ZMNPZpau27d++SMWpsbAxvb2/Y2dnB1tZWoxFNG4Dqnpnnz59rDK1t06bNZ/PS5+TkoG/fvrLHGjNmDPOepNkG/f39cf/+fZ0Lg6uLjY2NyDvds2dP8DyPy5cvIzg4GB07dkTfvn1x+PBh2cmar4EmTZowz+ywYcMwbtw4nTz3HJf3Tf0WoYp6/DehN6pkUBiNqlevXiE+Ph6vXr36pv3Q49NBK0y0UtOoUSPk5uYyxW4vXLjAEBXo+oF79OgRJkyYAB8fH3h7eyM4OFiy3smnID09HZs2bULjxo1Rvnx51KxZE9OnT8fJkyclc1NopeBbP0+fiokTJ5Lz8fDwwPnz55GVlYWzZ88yHp0ZM2Z80nFUKhVOnz6NhQsXYuHChTh9+rTstduyZYtWo2Pq1Kmi7fr160fa5SjfP6d4enoy3g+hJhmNU6dOkfZx48aB53nUqlWLLJM7T4VCoTEfUJBZs2axjGMKAxjZOMLCvTGKtR0NlzH7JA0nl2HbUKztaNi2GoZibUahSO0OMHOtCwNT6XwyKWnQoIHG+71y5UqRR69kyZIYPHgwKTVAG8KC0QmwtN90nTn18Dw3NzfExcUhJCRE5OmQ89o1atSI8RrQ+1QqlaToNgCmkDUtSqWS8aKpnydNfpCSksL0zczMDOPGjUPv3r2Z+9+/f3+yzZMnT5ixIPwWqM3pSaoaNWqQ7XieZ967BgYGaNCggcg7O2rUKNl7VxBERkYiMDAQHh4e8PT0xKBBg3D9+nXRei1atCB9EEIho6OjdTYuNEnz5s3x5MkTxoBRHytfK7ya1nPoe+Xi4sJEAqSlpTHfRY7LCy+NjIzEqVOnGE9vxYoV//HfGz20ozDoyIXSqNJUUV29AvqpU6dQr149mJmZoVixYggICMDr169F+8zOzsbMmTNRunRpmJiYoFKlSli5cqVsHwqjUVUY6CL1+Dzo06cPGdPnz58nv6tVqwYAWLduHaNwCvk1RkZGWr08PM9j2rRpkrO1CoUCM2bM+CyeosePH8vO6tLHViqVaN68uSgvY9GiRZ/ch2+JuLg42NjYaFRWnJ2dkZiYiLdv32L37t3YtGkTTp06RerVCHj8+DEmT54MX19fdOnSBcuXL8fz588RHh6OsWPHYtKkSfjtt9/IO+jSpUvo1asXKleuDHd3d/j7+2PChAk6KVBKpRIbNmzAhQsX0L17dyaMyNTUFI8ePRIpK59LzMzMJI3tgQMHiq4vTSu9Zs0apvZPlSpVkJqait27d6Njx4747rvvGAKK5cuX48CBA4yBYWxszNTx8fPzQ8Kbt1Dal4WVVxc4D98pMqAcA0JRrEkgrOr9CJva7eFe1xtynqf8yKBBgyTHFM/zCAgI0LjtsmXLALCELvPmzSP72LVrF/Mc+vn5YeXKlWjWrJlOfevYsSNycnI0FnTluLzwUNpwMjExYc4lNjZWK5uio6MjkzvYsGFD0TVp3ry5xn3UqFGDCR2NiYkhbYGBgbhx4wZu377NeJgEL7OTkxMuX76MPn36oGLFimQ7Jycn3L9/n6x/7Ngx4qU1Nzdnjve1QOcH0sfPzMxEaGio1lDh6dOnY//+/WjZsiVsbGxgbW2Nxo0bY8eOHUhLS2Mo4OXu1cuXL7/4edJ6TmhoKDm+1MQL/awI304BKpWKodj/3EyFehQ+FAYduVAbVfPnz0dkZCQjdPXk8+fPw8jICB06dMDJkyexbds2ODk5oWrVqqJEyv79+0OpVGLRokU4d+4cJk6cCIVCwXyMaOiNKj2+JOh6KZcvX2YKcx4+fJgprNmrVy/yu2nTplr3HRISolVxyo9B8/r1azx48IChtv748SNTrJbjpHNlKleuTGaNeJ5nKI0dHR2RnZ2d/4v3jcHzPBYsWKDVoHJycsLhw4fJu4duc3Z2xoYNG5Cbm4vRo0drDFeipVy5cp9Up0kXadOmDRITE7F06VLJeyqIrvlemtjxaI9Inz590LVrV9SrV48x1s3MzPD+/Xv89NNPZNny5ctF94U2unr27EmWJyUl4enTp0hLS0NGRgaKFS8Byxot4dBrMVwnHmYNqbH74Nh3NYo27Q8Tx4qy/TYxMYG/v3+Br/GIESMkx9bmzZsl11cPpbt06RLjQaFzzh49eqQTaYQJLIAKAAAgAElEQVSUVK1alTBoZmRkyJJKNGnSBC9evMDly5eZ5fQ3MjY2VpZenePyGEQfPXrEkJaoF+RNSkqSDdMsUqQIhg8fznjHgDxSA2GdKlWqiCaQHj58SNo1kVKo6wa0kS+Vl/ilMWDAAHL8NWvWMG0//PAD0/exY8di27ZtzHIjIyPEx8dL7nvDhg1kPXt7e2zevBlPnjzBwYMHmbpjcuP2c4LWc+iQx927d4vWpd+Fvr6+ovb169drfGfo8e9CYdCRC7VRFRERoXG9OnXqwN3dnZn1FV7yP/30E1l2+/ZtKBQKUQ2boKAgmJmZSdIwF0ajKiUlBcnJyYxyq8fXh0qlwoMHDxAbG1tgWvE1a9aQl72fnx82bdrEfPzojz2teO7bt0/jfpOTkxkFbMqUKYiPj8edO3cwevRostzS0lLjOOJ5Hrt370a9evWYfvj6+iIqKorpv5ubGyIjI8HzPJ4/f84UWP3uu+/IPvfu3Yvvv/+eOZ+ePXt+ldlPAdnZ2SIvUX4RHBysUTHV1UASrk9BFXM5MTAw0MjWpot0794dAHDjxg2tJAQWFhZM/hUttWrVwsuXL3HlyhX07NkTpUqVQokSJeDt7Y1ffvlFay0cui/0RMOqVatE94XOG+rRowdZ/teLFOy99hxhZx+iZegFMZHEyF2w774AFlWbgVPkjU0HBwdMmTJFI0EDx7HGjhxZQKlSpUh9KWEZTUAggOd5eHh4kHW2b9/OEG/Q5RZommy6AOvOnTsLlPdmYGCA4cOHi94JWVlZZH9mZmaYMmUKE5r2999/M+Oezi1MSUlh7u93332HsWPHYubMmbh69Srp88GDB5m+zJgxA9HR0Rg0aJBo7FWtWhUnTpzAhQsXmAlWddAeiqlTpxIv1atXr0SMkJqENl62bNlClmuKcvlSiIqKYp65lStX4tWrVzh69CjT59q1azPb0e+rmTNnSu6bDnu0traGlZUV6tati/Xr1yMuLo6EWlpbW39x5ldaz/n1119Jv/z8/ETr0gyxUt5uuhSF1DtDj38XCoOO/I81quLj48FxHBYsWCBqq1ixInx8fMj/uXPnguM4UZzllStXyMdLHYXRqNLj2yI7OxtLlixhiuAaGBigSpUqGDhwIHbv3q0z1WxKSgqjGLVp00ZUUV5devfurTVsj56Zo/MMBNCJ0er1TwTwPM+wxamLkZER40mIiYlhtqcNMY7LC29Ur+9Di52dnVYmvE9BRkYGwsLCmA9wzZo1sX79eqSkpOD9+/c6P9t0nk9+xcfHB2FhYWjTpo2ozdDQEDNmzEBUVJTIA1SyZEns2LFDI5sgLbRRZ2BgwChM6uLg4ICAgABERUUhIiKCUWKFHIoLFy7IeuUsLS1x+fJlJCYmYuHChcx9rlatmlYDNicnR2tOiImJCSIjI3H16lWyzMPDQ+TlHDhwIIztSqNIzXZoMX07vOadRpPF5yTzosqNiYB1/W4MG58gNjY2iI6OxocPH0R9s7CwEOVyaao5FBgYCJVKhatXrzIeFzq0TABdv6lmzZoAgN9//13j/osUKYI///wTQN6EIm3YGRkZSbKmff/991i9ejXGjx/P3Fdra2sUL14c7u7umDVrFhISEgCwta/8/f2JwvL27Vu0b99eNFZDQkIQEREh8uRJ5QkBee8bOgRQkxQpUoTJC42Pj8eCBQvQt29fDB48GBEREcjOzhYZanZ2dvDy8pI0OM3MzLBu3TpJVkl7e3tiRNDtAjHI10a3bt20PvvqYW50+YeWLVuK9snzvEZD3MPDg8nn0kaw8jmRnp7OPDeTJk3CmzdvkJKSgmXLljHjvW3btsz3MT09nfHYfslvjB56CCjURlWJEiVgaGiIIkWKoEWLFqTIIAAcP34cHMfh6NGjou27dOkCR0dH8t/Pzw/FixcXrffx40fyoKpD6sLcvHlTZAFnZmYiNjYWsbGxePr0qWg/gkdDyh2ZmJhI2tQ9Hrm5uaSNLuIpIC4ujrSrKy5JSUmkTb1eDZA3+xwbGyv5YX/27BnZVp2hLDU1lbRJeRf++usvxMbG4q+//hK1vXz5kmyrPsOYkZFB2qQK+t2/fx+xsbG4ceOGqO3NmzdkW/U495ycHNIWFxcn2vbx48ekXZ384f3796QtMTERWVlZksqwuhQvXhzLly8n26obWSkpKaSNnkXTJLa2tpg9ezZzb9TpydPS0hAbG8soMidPniTt9+7dQ2xsLNauXUvaJ0yYACAvvE/Yb3JyMjM7yHEcXF1d0apVK8kwLjs7O7Kt8OKgWckE5U7bOZYoUYJ5Bv7++2+yX/WZ0eTkZNImlT9569YtxMbG4t69e0hKSoKXl5fW4xcrVgzDhg3DiRMnEBsbS8gAaNy9e1ekpJqbm+fLM7B582YAwLRp05jlQUFBiI2NZUI3aY/fhg0bRDWgateuDV9fX9nwKCMjI/z888+4fv265DqVK1cWvSNoavX+/fuTd8SbN28wf/58eHh4MIq4gYEBevbsiRUrVqBr166MQbdp0ybRNVR/R9BFjk1NTeHi4oJq1aqha9euTP5Ts2bNcP36dSbvpWHDhti7dy+27D+B+n2moHiXGdKsfOMOosqoLWgx/xA2nruLF0npePs+CT169JD0sFlYWKBevXqikLspU6aga9euovFsaGiIDh06SBY+rlChgigUr2PHjnj69KnoHfHo0SPm3A4cOICHDx8iOjpaNFHBcXmhcjdv3iTXln4/CUQQRkZGIpr50aNHE48SHY6rLjY2Nvj9999x7do15pzNzc1FRCPavLP+/v7MO0LA27dvERsbi3379un8HNnY2ODRo0cYMGCApHewVKlSOHbsGEaMGCG7D/pYQpjf77//TpbR53bgwAHs27ePXFMzMzNcunRJ9h0RGxvLFKwW8OrVK3LPC6pHREVFaazz1blzZ2a73NxcpkZd8+bNmfa4uDjRBJqNjY2oYDQ9toXz/lp6hLbSI7R4eXlh7ty5mDdvHhMeW6dOnUKhR6hDaBOIR2hIvSME0HqEFCnD7du3ERsbK0ku8uLFC616RGxsrIjRFvifHnHr1i1Rm7oeQSMrK4u0/f3336JtHz16JNIjBAjviNjYWLx9+5ZpU6lUpE2qHMDn0iPU8fz5c7KtejmX1NTUfBlVBtxXgLW1NTdixAhu3bp13Llz57gVK1Zwz58/5xo3bsydOHGC4ziOe/fuHcdxHGdrayva3tbWlrQL60qtZ2FhwZmYmDDrakJubi4HgFkGgMvJyeFycnK43NxcyW2EdnXwPE/aeJ4Xteu6X/U+0ftVqVT52q9Kpfrk/UqdK71f+lyzsrK4iIgILiQkhJs/fz63fft27uPHj7Lnqut+Oe7z3pt58+Zxv/32G2lXKBSibTiO4xITE7mRI0dye/fuFV3DzMxM7uPHj1x2djaXk5PDde7cmdu5cyfn4OAg2o+9vT03adIk7uDBg1x8fDw3bdo0Licnhzt+/Dg3cuRIrnHjxlyrVq24tWvXcqmpqeRcjYyMyD4SEhLIb+FcXr16RZaZmpqKriEAbunSpWSd0NBQbufOndycOXO48+fPc7169WL6mZyczL19+5a5hn5+fqLrLKBMmTKS1+3Nmzfc5s2byX+6T+qg76vUOBSub05ODhcYGMhFRUWRtkqVKnFFihQRbfPu3Ttu1apVnK+vL7dkyRLu5s2bonXi4uK4ly9fkv+bN2/mnj9/zk2bNo0zMNDt1Tho0CDuwYMH3NixY5kx1KJFCy4nJ4e7du0aWdavXz/y+/79+9zly5eZfQUFBXFTpkzhNmzYIHmsli1bclWqVOHS09NFzxTH5Y1H9WvYqlUr8vvVq1fk3hUvXpybNGkSd/36de7atWtc8+bNOY7Le062b9/OjRgxgtu9ezcZ7+3ateN8fHxEx1R/R4SHh5O2VatWcXv37uXCw8O5DRs2cCdPnuTKli3LcRzHnTlzhouPj+fGjx/PWbrW5Gwa9eFuG7pyA7dEcdMis7iX9vU5c9c6HHgVp0yK4z7EHOLe7JvHvdk7m4tf25f7KzSAOzn5B+7ukY3cmyf3uRrVqnI7duzg0tLSRH1MS0vjrl69yqWnp5NlTZo04TZt2sTt3r1b9C5RqVTcqVOnuLNnz3KPHz/m6tevT9oePnzI3b17l/yvW7cuFx4eLvn+LlHi/9i77rAqjq89t9EUEEEBEcQCKgpI7AWNJfaoiC32ggV7V4zdaKyINQbsYgl2RY29IcYeS4witlhBwA7S7vv9wbeTmbu7915QE8zvvs9zHrg7W2Z3Z3fPmXPOe4rS5zcmJoa0adOGeHl5kbCwMDJp0iTSsGFD0XHv3LlDAJDk5GRy4MAB7joTkvPsPXjwgNtu3759dNugoCCuzc7Ojo7LV69ekZYtWxJ7e3uyZMkS2rfU1FRy5coVkp6eTgghxMrKisyYMYM7bwG2trZk1KhRZPDgwXrfs66urmT//v2kQIEConUIIcTT05NUr16d9iswMJCEh4dLPv+PHj0izZo1I8uXLyfu7u7Ex8eHWFpaEkJy3qtjxowhtWrVousHBAQQQgipU6cOqV27NiGE0HMjhJCgoCDStm1b2v/27dsTc3Pzj/oG5lWPUCqVZOPGjeTKlStkyJAhpGnTpsTf35+ud+XKFZKRkcFtu2PHDvq/j48P15aamsq9dwkhZNasWeTBgwfkwIEDpEiRIoQQQt6+fUsIIaRUqVLE2dmZO9fPrUcMHjyYTJ8+Xfab26BBA/r/uXPnyMSJE8n3339Pbty4QQghpGDBguTnn3/OF3qE3LnmVscz9A38FONQ3351x5ih/bLb5ra/xl5DQ+eqi9zoEbk5V6lz1we14VU+Hn5+fsTPz4/+9vf3JwEBAcTb25uMHTuWNGnShLbJPWi6y+XWM9TGQq1WS+5Xo9HQdqlthHZdKJVK2iallOnuNz09nQAgCoWC269un9j9qlQqyf0CkOyvSqX6qP2yf+X2K5xrdHQ0CQoKIgkJCXS9qKgoMmvWLDJ//nzSr18/ev4ajUbyPkntV8CnujcZGRlk+fLldLm7uzu5d+8eIYSQihUrEoVCQa5fv85tv2DBAtKkSROSlZVFwsPDyfLly8nVq1cJIYS4urqSxo0bk+bNmxM/Pz/y4MEDsn//fnLt2jWSnJxMfHx8SO3atUn58uXp/h4+fEhatGhBbt26xR3n4MGDZMqUKWTLli2kcOHCpGbNmlRRnT9/PmnSpAk5cuQIOX/+PCGEkJ07d9Jt69evL7qGCQkJ5MKFC4SQnA9wcHAwPaalpSVZuHAh+eWXXzil7aeffiLff/89d+2koFarOQWvYMGCnLK/ZcsWMnLkSFGf0tPTyc2bN0lGRgYpXbo0d9+kxqGZmRnJzs4mf/31F9m1axchJGeiJTo6mhw+fJhMmTJFsn+EEJKWlkYiIyNJZGQkqVOnDlm1ahXx9PQkhBDOqLaysiJ169YlVatWpWNBDjVr1iRnz56l5zJ27FiydetWolQq6cv8/fv3ojH++vVr+v/Lly85JZ+Qv8e3u7s7sbe3F00O3blzh6xfv55s376dfgSVSiX9ML19+5ZoNBp6DZ8+fUqmT59Otz9//jzZvn07cXJyIgUKFCDm5uaEkJzne/bs2SQ8PJxs3bqVvHz5km5jb29PvvvuO9K7d2/JZ073HREfH09/N23alJ6D8Pw1adOBbLn4hKgLFydLrqQTYulG7NtNF+037d4lgqT7xA2J5NKJ/aJ2AQsWLCArVqzgjCm1Ws0pNQqFggAgGo2GjvPnz5/TSQp7e3vSpUsX8ueff5LDhw8TQnKU065du5KbN2+S48ePk9WrV5OwsDASFxdHCCHEy8uLDBgwgPTt25dYWFiQN2/ecO/Z7OxsEhQUJFKuMjMzyaZNm8imTZtE53L58mUSGBhIhg0bRtq0acN9zM3NzUnlypXJ/fv3uYkUQnImflQqFVmwYIHIqJw4cSLx9vYmc+fOJUeOHCFv3rwhixYtIuPHjyeOjo5k06ZN5Pjx4+Tly5ekaNGipFOnTmTAgAHkw4cPpGXLliQpKYn88ccf5N27d8TFxYW0bNmSJCcnk7S0NMn7wb5nK1WqRAoXLkzev39PFAoFqVWrFrGzsyMtWrQgDRs2JHZ2dsTNzY2kpaXRd6lKpSLdu3cnffr0IePGjeMmHjIzM+n7pkaNGmTv3r3EwcGBEEJIu3bt6HoPHz4k5cuXJwqFgmzbto3UqlWL3L9/n7YnJSXR/1u1akWGDBnCPTcsNBoN0Wq1uf625vZbValSJbJ48WLavyZNmpDLly+Te/fukUaNGpGQkBDi5OREtmzZQn7++We6na4RfeHCBZKSksItGzRoEImJiSE1atQgpUuXJi9evODahL5/Lj1CrVZz+1UoFGTSpEmkU6dOJDQ0lJw7d45otVpStWpVMnDgQOLn50d27NhBhg0bRh4/fszty8/Pj6xcuZL4+fmRuLi4z6pHfPjwgURGRpKrV68ShUJBqlWrRr7++utc6XhS+xX6INcnuXHIriN3rnnZb3Z2tmSbvv0K2+rb78fqyRqNhtORzc3NuT7pwtC5CnpEXq5hriDrw/oHMGDAABCSU7Dw3wj/+7dzqvIDs4k+vHr1CklJSVxcc3p6OiIiIlClShWYmZnBwsICdevWRadOnQyGjKxYseJfPJu/wVKeN2jQgP5fqVIlpKen4/r163SZk5MT/T8sLMwoGmNPT08sX75cdny9ffuWC3uSEhsbG8TFxUGr1XJsTXLX2M3NTfJ4N2/epOt07dpVsj+64USE5BQlHjJkiNG0zcOGDeOYnYQ+PX/+nIbGvH37FiEhIRzlt1qtRvv27XHz5k2D92369Ol0u/nz5yMrK4uj3dZlzJISBwcHzJ49GzVq1BCFGrH70idFixYVsYzp3pdmzZohOzsbc+bMocvY0DQpVrhjx47Rc2VJSPQJy5ZlZmZGQ3d27dolW6zV1dUVe/fulbzGqamp2LdvH9avX48DBw4YlVOYna3F+XtJ+CU2DuUChsKh1VgU8u+GiKM3sO3iI0zceR1dIn7DV9MPocTYPeJ8qJB9GL75MnqE7UHzMUvRqs8IdOjQAcOHD6f3SK1WY8GCBXjz5g2Sk5MlCTEqV66M06dPQ6vV4tKlS1zu2ahRozi2N0FKlixJQ1AmTpwoatctMpqenm7UNWHvuyGxtLQUMW+yNXmsra1pqFFmZqYoV7NMmTLIzs6mIV3sWBTChZ49e0ZD/jQaDbp164bo6OhcFYHN7fcqKyuLuzdS0KVXF8injBn/3377Ld3PkiVL6HIbGxsMGDAA169fR0REBFdDi5WqVauKwqWMhVarRUxMDFauXIn169dLhkAZg+zsbDx79gwJCQncd9aYothDhw4V7Y8lSKpTp47e7QsXLmx0zvDHIK96TlZWFvbt24c5c+ZgwYIFlDzpn0BkZKRkiLWjoyN27dr1j/TBhPyhI+fLnCo5CImiaWlplKhi9uzZovXKli3LEVUIyptu7OnZs2dByJdDVJEfBowuMjIysGzZMk6RL1asGCZPnowHDx6gVq1aRikKZmZm6NmzJ1e00xBD3T+FvXv30j41bdqU/i8wTGZmZtJlbP6EriFkKCG/R48ekmOMjSkvU6YMDh06hKysLFy+fJljsurduzcA4MqVK0blJ7Rs2VIU756cnEyVLDc3N1G+HktH7OLiotcwFmrBCKJQKNCiRQv8+uuv0Gq12LBhA9fOsgJWrlyZIwTRFWtra1HNOl0MGTKErh8bG0ufd0EJ3bhxI7fP0qVL0/8NKSi5ua/Gire3N6ZPny4y3ipVqiSpdNvY2KB3797o2bOnUXlrFSpUgIuLC7dMqN2kW+xV93fx4sX1sq0Zws2nr7E65h66hMfCc/xu6dwnGXHsOg+O/p2w5tQdbDr3EHcScvpx7949Lu+Klfr164sUKrY0ASulSpXC7Nmzcfv2bapQFylSBNHR0aJ1Bda3W7duUUOZfQZGjx6d62uTkZHB5epNnz4dtra2kn21s7PD7du3odVqOQZOXZZCIXcPAEfwQQhBtWrV8Pvvv4v2LdSIun37tiyxjK+vL0dUkJ6eji1btqBDhw5o1KgRunTpQo2v3H6vtFotfe6KFi0qIiLRarXcM0oIwfPnz5GcnEy302g0aNeuHW2fNm0ap+xeu3aNm2zJrXTs2DHX9zc6OlrExqlQKNCyZUvJ/CkppKSk4Pvvv+feqSVLlsScOXOQmpoKIIdQRvf5JiQn52/MmDGSBvGOHTvoen379sXMmTNlczTzcu55QX7Uc/Rh/fr1eseMUqnEnj17/u1u/k8gP4ydL8aoSklJgYuLCypVqkSXVatWDRUrVuReFoLixFKhCpTqugZY//79vyhK9YcPH+Lu3btGv4g/N1JTU/UWZtSd+XZzczPonRo/fjy6detGf+vW4/g3wFI1s16an3/+GQA4SltWyRMUUysrK6xdu5ZTfOXol8PDw+lxs7Ky8OzZMy7hVpdB69WrV1QBs7CwQGpqKq5cuWK0kiDljWK9GX369KGJu3fv3uWoin/88UccOnSIK7BKSI53R87rUbNmTaoEtGzZ0qg+qtVqtG3bFkFBQVzh2GLFiomMQhbTpk2j6y5cuJAzjoODg/XW8jFEpf2liz5GOQsLCwQHB2Pt2rWcR2TZsmV5en4if3uAUiH7eBrzkdvg2GUOHNqEwK5hXxRuMgiO3/2I0v2WoeGoZSjbKhgWxTyhKpij4A0fPpzb56NHjyQVSFYmTZrEbWNI+fHy8kLlypXp79evX4uMi6+//hoBAQGcN4P1Xg8aNCjX14c1elq2bAkAlE1Rl0hDtzgu+zzqStWqVdGzZ0+jmPU0Gg3OnDmDZ8+eySrVgpQpUwavXr3CjRs3UKpUKcl1KlWqhLNnz+b6e8WS3MyZM4drYwuiC3Lv3j2sXr2a/h4yZAjGjBlDf+/YsYMjBDJUSJgVNzc3xMfHIyIigrsPAtuiMdi8ebPeb56Li4vB6/P48WORZ5KV6tWr08nHjIwMREVFITg4GL169cKsWbNka1MBOYQHwrmZm5vj5MmTSE1Nxc6dOzF37lzue2eoxM2nQn7Tc/Th/fv3HHFP27Zt8euvvyI6OpqbgHV1df3oUh4mGEZ+GDv50qj67rvvMG7cOGzduhXHjx9HeHg4ypYtC7VajcOHD9P1jh8/DrVajYCAABw+fBgbN26Eq6ur3uK/8+bNw4kTJzBhwoQvrvhvfsPAgQO5l3vlypVRr149kcFQuHBhnDx5kgtREUSlUqFXr17ch4f1IPTr1+/fPk1RSB2rtJw4cYJjSmIVLEHGjh2LoUOHcufEFjJlaYkrVKiAxMREjB8/njMgCMlhqJMKvwgMDKTr3L17V5Ia+Ntvv8WFCxcQHx8vMhh02RpjYmI4T4W5uTnKlCnD3aOiRYtyTDw3b97E6NGjufBHObG0tJQMIbS0tETTpk1FHr7AwEBERkbiyJEjePnyJVfbaf369bL37caNG3Q9BwcHrs5MfpBmzZrh4sWLBo2D3IiNjQ2OHz+ODh06iLxNglSpUgVxcXEYM2aMwQLGbN2katWqSV7nzKxsxCe+xam4RIzdehVNw06hycKTqD7zCCpO+ZUaUuWGrYNtzY4wL14BSnPpulZyYm1tjV9++YUek/Vou7m5YeHChSJ6b0IIx36la4BUrFhRL9381KlTcfbsWUlWP0G8vb0xePBg+nvBggVGv1cECKHshBBMmDCBa9M1WthJRYD3xn6MdO3aFR8+fOBKJegK673V9ZpIiaenJ968eZOrayEw/wpSs2ZNjBkzRtYjOXToUMyaNYv+XrNmDe2XUqnEo0ePcPXqVdrOevBDQkJw7NgxEasmITm10VhGMDZaYPDgwUadS0pKCmeM1axZE4sXL8bkyZO592Tr1q1l96HVarn3nVqtRqNGjUShemyx69xi+PDh3L7q1KmDNm3acBNjpUqV+iILtX9urF27ll6jwMBAzjuu1Wo5fUAuhNqE/xbypVH1448/olKlSrC1tYVKpUKRIkUQEBCA8+fPi9Y9dOgQatSoAQsLCxQuXBjdu3eXpEfMyMjAlClT4ObmBjMzM3h6euot4GcyqvQjKSmJKueWlpZcbYw7d+5w4SuDBw/GgwcPqFKuG9oSERGBqVOn0t/t27en//fv3x9arRb79u1Dy5YtUaRIETg4OKBRo0bYunXrP3ZPtm7dalAxYfNmWK/U9u3badiKRqOhNKtCe58+fTjab33hZP7+/iIKT1YxfPr0KXx9fbltmjVrhoyMDLx8+RJZWVno2bMn1y6ELGm1WvpR2LBhg2xIWdGiRXHp0iV6/KioKIPKuSGpUKECzQP55ZdfZNdzdnbmjPn69etj48aN2L9/v+i6AMZ7wwiR9x4KCtHHnJ/uOGGLn7IhOPqkaNGimDVrlqyxxEr16tWxdOlSjB49GjY2NnT5jz/+yClHFy5ckN+PSgOzYuVgVboKzIqVhaOjE37/6yWWH4/HiC1XMHjTZQyMvITKMw7pDd8rM2EfpkT9JnmMQoUK6b3urCiVSuzfvx/x8fF0G5VKhYYNGyIyMpKjZxdE8HCxuYKCLFmyBG/fvsVXX30le8xy5crh5MmTojwbOzs7DB8+HDNmzKB90Wg0tLZTbsDmZOoarrrjrnnz5rRNq9XCx8dH1Ofy5cvDy8uL/mYnQ3x8fDBmzBgEBASgfv36onth7Bhm1/X19cWRI0eQkpKCXbt2cWG7oaGhub4euuUGdEU33JW9Buy3pU2bNgDAebIE0TVCFi5cyLXrGsdPnz6lbc2aNTPqPNh9durUiVO4ExMTOeNPbmadDVkWPGcCLly4QJ9tlUolSYFtDNLS0vR68IoUKcJR95vwN1jafraEiQC2PIlc4WUT/lvIl0ZVfoDJqNIPdtZfNzQHAPfB7tChA3bu3Ml90NiX9tSpU7nClywxQXh4OE2HsXUAACAASURBVFd8UleaNm0qqUx/DoSGhhoMXxSErSUyevRoWuPJxcUFALh8iHHjxqFHjx6ifWg0GnzzzTfc9SCErxzPhrR5eXlBq9VyRW4JyZndFpQQKysrUUiTn58fqlSpApVKBbVajZo1a2L9+vW4ceMGhgwZAldXV9jY2KBcuXKYOXMmV29j9+7dBq+JMTlHrJEWERFhtHKnq+h9//33nNGQnJysV2k2VvSFy+VFFixYgHv37mHgwIFcwV1BunXrhm3btmHevHmcJ6tXr174888/MWTIEHh4eMjm3ggyadIkzgg9c+YMAODpq1QsORqHTnO2wq5hX9i3GAmHlqPQbNxyfL/uEAJ+2IwSwzbp1HvaJWs4lRwfDd9pBzFu21Xsv/YUJ28n4tqjV/jjyWu8fJ+OuXPncv0qUaIETp48Ca1Wi6SkJFFh4x49euDatWu4ePEiN8ni5uYm6zny9PQUeXacnZ0xePBgyXpUhBBZzypruNatW5er3yUnY8aMydN7Rdc4Gj9+PCVEGDt2LHeMRYsWAchRhL///nvuGWYndczNzVG1alXY29tz22/fvp07ti5ZjNQ4PXTokOw4Mzc3F+UqX7t2jbZ7eXnl6Zps2LBBFB3g4eGBn3/+GVqtFqGhoXr77ejoiHv37iE+Pl5Uc4mQnLBAFlFRUVx7cHAw137+/Hna1rZtW6POoW3btnQbqcLH7P3btGmT5D7YUMbVq1eL2lkDVMjxzQvS09OxcOFCLszQ2toaAwcOlKwdaUIOWC/fgQMHRO2RkZG0fdq0af9CD034p2EyqmTwXzCq4uPjMWnSJHTp0gV9+/al1eYBcJ6LvID9qEVGRora+/btS9urVauGXbt20d9jx47lDIUSJUogLCxM9OGzs7MThbfY29uLitBWqFABK1askMyN+9S4fv06+vfvD2dnZ0mPgY2NDVasWIGEhAQaamJpacmF1WzZsoULnfntt99EIWClS5emCeG6ieYKhQLjxo1D27ZtOYNGYEvUNVrzKk2aNKH5T1LIysqSVFgI4ZnxFAqFSBEuWLAgpzSxs7hSTF5BQUGiosJy0qpVKy5+/f379wgICMjzdWAVUza/7WNEpVLpNYh69+5N3zdxcXHU8LKwsKBFki9evCgyaBs2bCjqo9B/c2cPBK89C/85x4wmiXAbsxvFh26G64htOcbT2N2oN3ETGo2LQPkOo1GmeRBqBvTGmnXraWjqsWPH0LZtW9jb26NgwYKoXLkyGjduzPXp4MGD3FjSHbNCwUWtVovt27dz3jZ9Urx4cYPr6npodMXLyws3b97knslz585Jsv0JMnDgQGRmZuL69es4efIkbt26lSvmMV1PuJWVlWQulFKphK+vr8irtHPnTpw+fVrvuc+YMUPy2Lt37xYRQFhZWXHMurpGsSCNGzeW3KfgKVOr1UZfA11otVpcv34dR48elSwKunLlStkQxMqVK6NRo0acR4u9nkuXLuX29fz5c85j2qdPH9qWmZnJ5Zkaa7ywXnIpT9SCBQto+9q1ayX30adPH7qOlGHGernlUhlyA61Wi8ePH+Pu3bv/CNPflw42VaFly5bcM5+VlcWFaUoZXSb892AyqmSQH42quLg43Lx5U7L6Nov09HTOqGHF0dER9evXp+EsVlZW6Nmzp2SFbH1gXyYDBgwQtU+YMIG2FyxYEMePH6cKYJEiRYya+Y+IiKAhhhqNBhs2bEBWVhYePHggmeNkYWGB8ePH59lQZJGVlWVQKcrMzMTOnTsxevRojBgxAqtXr+Yod4USAPrE398fHTt2FC3fsmULdyxDjFWBgYH0vE+ePClqt7a2hoeHh97QMamZ/qCgINnz379/P13PmFwqVkqUKIHmzZvT36dOnaL71Q1fJITgxIkTyM7OFuXN+Pv7Y8GCBejWrRunFLEEJ0+fPuU+biyNsDHC5mHk1mBt0qQJJk+erJdNUM7TN3z4cLRu3Vp0zwQaaZbQRZCiRYtibeQmDJ0yD7Y1O6JI4GQU6xeO4kM3iQym9iti4dZqGOwa9oNNjfawqRYIh1ZjUb7/YjQYuQQe9TuAKP//mqrUUBd2gUItT+BRvnx5TgmUE6VSKXq2dElDBIZLQ9fbyckJBw4c4NjVpEKZ2LExYsQIREREiHIWBRHCYcPDw+kywQv1559/YsSIEahVqxZq1KiB4OBgXL58GStXrhR5gCtVqoSoqCi97xAW8+fPlz1PfSGSc+fOpfu4f/8+hg0bRr1WarUa3377LY4ePSp5TMEbzbIPCrJz5066Huup0T1HFu/evUN4eDh9v2s0Gklj4FMhPT0dO3bswPTp0yXzNAUpU6YMN7GnUChQoEABNG7cGDt37sS7d+84gg5LS0v0798fEydO5O5roUKFjM4TY71MwjMrIDs7myNFOXfunOQ+WG9WWFiYqJ0NP1u5cmXuL2A+hLF6Tn5AWloaN0H8zTffYOvWrdi0aRP8/f3p8lKlSv3r+uP/AvLD2DEZVTLIj0aVMXSRWq02T54KMzMzUUiEPrx69YqG1Gg0GmzdupUqShcuXBDNIKpUKlEoivDx0l3m6OiIbdu2cWxPQojhs2fPZL0jgvTt25f288WLFzh79iwuXLig1+si7HvChAk0XM3S0hIBAQE4ceKE0deFRVpaGpo0aaJXUWIVavZ/oX4QCykCCkdHR0ybNg1r1qxBrVq1YGZmBrVaLVtrRUpsbW1pTpxWq8X+/ftpkrJarcaTJ08kz4+l+dbHTiUlHh4eHBtbhQoVEBcXh5SUFMn11Wq1KExOoVBwyvmBAwe4/f3++++5yqkyRnQNIGOMycmTJxvtaTE2vHTatGmwcyyOAt6N4FAzEF6dv4dTt/koPmiDXs9TrR+PIuLUXSS+yZmFFp4lYyjZpcTQOJMz4teuXUvv3bFjx0THP3v2LCZPnmxUH+zt7TnvJnsNlyxZgkOHDuHPP//kJmiCg4O5SQ92bF28eBEAOBZN1nPBQqvVGiSL+OGHH4x+Z1y5cgW9e/dG8eLFYWdnh8qVK2Pp0qW4d+8epkyZAnd3dyiVStjY2KBTp06yZQW0Wi3evXsnO8Gk1Wq5iS8pUalU6Nq1KxYtWsQZAITwLKjR0dEAckL2pLyvBQsWlPXEfEqkpaVh/vz53MSQo6Mjvv/+e9y7d4/LW9UVYyb5NBqNZF1MOdy6dYvb9ocffsDdu3dx/vx5znPu4+MjO4HHku0ULlwYx44dg1arRXZ2NqKiouiEj4WFBUcc9CUjP9Bi5wbbtm3T+97WJVgz4fMhP4wdk1Elgy/VqIqNjaUPs4WFBWbOnIk//vhDVOfGzMwMDRs25D6C5ubmksq8HHTj/UuUKMElSBMiplU3JB07dqQhimzBToE5hzUsWIXW29ubm83dtGkT2rdvzylrhQoVwqhRo/Dq1SvRuVy+fFl25pqQvMdDZ2ZmYvXq1aICnLpiYWHBeWEiIiJE+woKCqLto0aNwqlTp3Djxg29M7TGiJ2dHY4cOYLJkyejZ8+eGDx4MJfHIkfoom9m3ZAoFArEx8eLwo5yQ2WuUChEfapSpUquFCVCiGy+jSExlmDBGNHXV2dnZxR0q4Ci7aei+KANcOoeCsfOs+E2eqes8eQ6/BcUCZyMgn4tYO7qDU0Rd6jti6OEuztq1qwJPz8/NGrUiMtlCggIkC1orFKpuGubW5G6r6VLl5Ysam1ubo6kpCQuCV8q78yQsJMrR44cMYqIoWHDhnQbtkBsx44dERkZiYMHDyImJgb9+/dHo0aNRNekbt26GDFihGj56dOn8/T++FwwJkdMTlq1asV58VQqFcdQJyf6mDo/JbRaLRISEvD06VP6zZZinpWSggULonXr1iLPsr+/P2JiYnLdF6kC0qwolUpRKKwuWrduzW1TqlQpUbi4VF7zl4r8oBjnFjt37pT09rq7u0sSWJjweZAfxo7JqJJBfjSqjAHL7Cbk2ACQpBt+9OgR3r17x4WfGUsXC+TkZbGFFnXF19cXd+7cwZQpU+Ds7EyXSxWmtba2xty5c7kZO5Y9adasWXj79i010goUKMApBiEhIVi6dCn9rW8G3cfHh+alADm1Otj+qdVqVKlSRWRksZTOeUFmZiaSk5OxYsUK1K5dG+7u7vDx8cHEiRPx6NEjnDt3jh6raNGiiI2NBZAzFiMjI6kSX7BgQbx580aSlUxK8mo0CCJVywoAzpw581H7dXV1RWhoqFF1dFQqFVxdXTnPR/ny5UV9YnMfPqdIeXbs7Oz0enw8PDy42iWE5EwMtGnThjsvjUMJ2NXvgyJtJsC55yK4Df9F1nhy7rkYRdtOgkPrcSjg9TXMHEvnmq7cGPHy8qKzsYa8WkqlEiNHjkS7du3y7AFjje28GK8jRoygeXX79u0zqh8lSpSgzLGxsbGSnnV9olujiq2T1q5dOwA5xCnz589H7dq14eXlhQYNGiAiIuIfI9sBckL02Mm06dOn4+XLlxyxgpyULFkS2dnZyMrKMpin2Lp1a+7bUrhwYYPRAp8Dly5don1wcHDAli1bEBgYKBpXKpWKvnNTUlJw8OBB7NmzJ1cTjbrIzMzEoEGDJK+PjY2NiDhECq9evUKtWrVkr3Pbtm2Rnp6e5z6a8GmQkZGBnTt3YvLkyZgyZQr27dv3SVIRTPiyYDKqZPClGlXsDKnwAXv37h1V2tgZX2GGLCUlhc7MOTo65up4QhjC119/DY1GA6VSCW9vbyxevJj7gGZnZyMhIQEvXrxAdnY2zpw5g+nTpyMkJASrV6+WjFO/c+cO9zFkGZratm3LeWh+++03pKWliQy2IkWKoF+/fujQoQPXxhoK7Ix09erVabHEjIwM/PDDD7StUqVKnNGXnp6OM2fOYP/+/bh69WquEtMFPHjwAEePHkVsbKxkMWUPDw/RDNiECRPw+PFjEflDyZIlDXpnunTpgtjYWKNouVkZMGAAd36PHz/GzJkzOcYxlUqVq7BDQYKCgiQNbUJ4Bd7b25tbb+TIkdy1TEhI+OQsfbmR6OhojqCElWLFiqF///46YSIKrI/cBHM7J1iVrwfb2p1RtP00uI3ZLUkY4RwwHltPXEZJ/wBYla8LTRF32b7k5T7kVXSLxbI5UxcuXBAZNMaGOBorusaPnZ0d/Pz80K1bNxw5coQLRa5WrRp69Ogha8iXLFlSb1FofaJWq6k3Iy4uDqGhoXQ8FihQACdPnuSeF1ZcXFxw8+bNXL8/8gKWkaxbt250+cuXL0VhfqyUKVOGCwXOyMjApEmTRJM2Tk5OCA0NpSUaWONr48aN/8g5smBzm1iSiadPn2Lv3r1ciPaGDRs+Sx/i4uIwfvx4tG7dGh06dMCyZctowV5jkJ6ejlWrVqF69eqwsLCAlZUVGjZsiG3btn0ReokJJvyvwGRUyeBLNapq1KhBPxBCjPXjx4/pMjYfiU1eFsgBPpatKS+GhT6woQ+sIcD+X7NmTWi1Wnz48IFTJmvUqIG3b9/Sfd26dYvO0KrVakoFzIauSNXjYA3V27dvIzMzE7NmzRLl03h7extddT42NhYNGzYUKafDhg0T0Uuz0rlzZ2RmZoryIUaNGgUAePPmDRcmyEqNGjWQkpIi6bU0Rpo0aYKMjAyMGTMmz6FvH1vPipUSJUpg586dePXqFY4dO6ZXISQkJ7xNN9yQFV1lv3jx4noLv0pd35CQEBEFvq6YOZZGAa+v4TJwLdzG7pH0QDl2no2Cfi1gWaoKNA5usCxoS0MaPobJMC8iZQSx91Eq7MXX1xdeXl7w9PSU9BJ9SuPX2LHYuHFjbub47du3onBlKVEqlZJFvaWkevXqHAELd99lJg4EMTc3x86dOxEdHY1Dhw7h5cuXeX5v6sOMGTPoMXU9Je/evROFrAl5Sax3nwVrtEybNk1UJDY6Opq2jx079rOckz507dqVHl+30DkAbN68mbbPnz//H++fCSaY8N+ByaiSwZdqVLEJ2+PHjweQQyktKB6CgsRSM7OFfJ2dnf/N7ovw4sULvTTWJUuWpHS1bJw/IdLF+FgFQIjxF+jOra2tJfvA1qI4ceKEwTAZQx/mPXv26PUkVK9enSaHm5ubU5aqXbt2UaOVLbBJCMGRI0fo/jMyMkTeA0JyZsM/VpllqeGNUXZZg1Sj0XDMflL5BkWKFEGrVq30hl4ZyruSC/Vau3Ztrvrv7e1tVGiiIVGYWcLcpTzsmw1D8cHSRBJO3ReicNMhsKkWAE3RvxPt2cmDsLAwjBs3Ls/hnKxxxO6XXe7t7S3KB5KirWZzr3THYm6lZs2auHDhgmSR1ryKlCf2119/FT2LLBmOu7s71Go1lEollwsaFRUlybT4ucXS0hJ9+/b95AQELJW3VHFeNiKgb9++Br97LNW8VIj09u3babvwTfonMXToUHp8KU8Zmxu8atWqf7x/Jphgwn8HJqNKBvnRqHrx4gUNoZNDXFwcpyQFBARg3bp1opCW7t27A8iJ12ZnvocNG/ZPnY7ReP36NSZOnChS7goVKoSFCxfi5MmTGDt2rGgm+N69e6J9sYVlhVAQ1rsn1MdhwcazsxS3CoUCbdq0wcSJE0XMUuvWrcO6devwyy+/cMUxk5KS9NJrCzJixAi910TXOGJplQHozXUjJIdAhM0jy62o1WqMHz8ely9fFuUxyRk9bJ89PT2RlZUl8gQJnsL09HT07t1btI/+/fvjwYMHsgV9/83wPyoqDcxdysOufh8U6xcuGcpXfVo0nJoPgbqQM9S20rV2ciuGSGHYdtboYD1NERERSE9PN+htY+91brx5cuLi4mI0mYAhOXPmDD58+ICVK1dyXqzNmzeLniO2NMSsWbMoa56wrFy5ctBqtXqZ46TEwcFBRCagK3Xq1MFPP/1kcJKmbNmySExMNPyiNBLXr1+n+3Z1dcXz589p25s3b1CpUiXabkxtHbYAub+/P81le/HiBZ4+fcpFAuzateuTnYexOH78OD1+qVKlcP/+fdp29uxZGhKv0WhEhYxN+OdhjJ5jgglSyA9jx2RUySA/GlXGMpvMmjXL4Eff1tYWtWrV4hQtS0tLxMfH/0NnYxhpaWn46aef4OfnB41GAwsLC3z11Vd6i6ayolvgEeDDCQV6XJbFrn79+rSI8K1btzhK7pIlS3I1S4RkVOFDPH78eMl+qNVqfPfdd3j+/Dm6d+9uVN9tbGxo6OKbN2+wdu1aTJ48GbNnz8alS5dEIVf29vZ0XGRnZ1NaeF2xtLTEoEGDcOfOHVFdndyIYJQDOUWmddnZ9OVsFSpUCFeuXEFaWpootGzChAl0v+/evRPtt3///ujYsSPatWuHXr16ITAwEA0bNkS7du3w9ddf5/l8ciPly5eXNN4UajMUqNhQ0hvlMmg9irefBAv3SlBaFBQxen0KYb1w+vKWdJ8f9vfs2bMBwOhwt08pwpgxZtJBTsqUKcO9p9lQV92aSlqtlitKvGfPHgA5E03Csrp16wIA6tatyx2Hpe02FNYnZaB27NiRGnBSXtmOHTtyY/+77777iDepGOz9tbW1Rf/+/TF06FBu4qps2bJGffN0i4DXqFEDq1evxrRp0+Dt7U2XFy9enCvKLYdr164hODgYvr6+qFChAjp06IDDhw/nObRcq9WKPOaNGzcWMRb26tUrT/v/J3H16lWMGTMGnTp1Qr9+/bBnz57/HBlCfmBwM+HLRH4YOyajSgZfslEFACtWrJCtNi8llpaWuarB8bmRlJSkl8JZKrxNMF6E3zY2NoiKikJWVhZev37NsTCp1WoEBgbi0KFDSEpK4hQbS0vLXF07lUqFdu3aGTRmS5UqxSlgTZo0wenTp3H+/HnJGlSHDh3Cjz/+KOkJkFLUFAoF6tSpI6rjpeul/Oqrr9C2bVuDyqCgmEuFKlapUoW7X8eOHTMYlqdUKhEQEEC9gU+ePJG8lhMnTsSdO3dw8eJF7j5LGQpmZmZYuHAh/vrrL6qUW1pafhT9tyGpXr06F0JlVqws7JuPQPEhGxlK8yg4fDsG7Yb/gBIef19/YRLjY4gkVCoVd+/YcEBD95QQwnlmdcXd3R0PHz6kdOYajSZXNPfGiG4ek748t9ycFyEEy5Yt48bl2bNnufbg4GBcunQJsbGxHDOdi4sLVfi1Wi19/tVqNR4+fMhNmBhbc0zY7+nTp0XLhVpYrOeclXXr1uH+/ftcEd+nT59+svfrw4cPZSdeCMmZ+MiNYnL48GG9Y1qtVkuGX7LQarV6a5O1adMmz+yBDx480Ft6ok6dOlz+bX7D27dvZXMpPTw8cP369X+7i58M+UExNuHLRH4YOyajSgb50ahKSUlBUlKSbMKwLtLT07Fr1y4sXLgQP//8M+Lj43Hx4kV07dqVKneFChVCcHAwbt++jfj4eEyYMAFt2rRBhw4dsHTpUsmaTv8E2BlkQnLCxXSVgC5dumDixIkYPnw4QkNDqcdIN5zG0tJS78x91apV0bFjR6MVN2NErVZjwYIFGD16tKQBSAhBWload8664W6BgYEf3Y+SJUsiISGBqzuVW5HzOj148IDrP5sjZW1tjXLlyqFevXp0WeXKlXH37l0AOUxjvXr1MngMY6VNmzb0/ylTpuDNmzd6Cy/nRgRlUWXtAKuytWHhWhGbf7uPcgFD4dhlDu+RGrAahep2h7WdPQ0/Zb2TbE6ZME5y259JkyZxBoFKpfqkYY+sp4j1ltja2oo8NlZWVgbD/3SJJJYtW8b9XrRo0Sfpt5+fn8ibsW/fPqO2jYqK4rZjiWAqVKiAFStW5Kovvr6+WL58OWU11TXy79y5AwDo0KGD5PYrV64EwOeASoUvfgyePHmC7t27c0azSqVCQECAUTTiaWlpHCnFsWPHJHMWS5UqZVTxU5aFlZCcd4LuO1muvIMxePHiBcaNG8eVyihVqhTmz58vehfnJ2RlZYlIjXTFwcGBC2v8kpFbPccEEwTkh7FjMqpkkB+Nqk8JgS1Pq9UiKysLw4YNk3xZW1tbixSOz40LFy7Q4+vWa9qyZQtVRAsUKCBp9L19+1ZUD0hXjPUUlC5dGrNnz0ZoaKgouX/48OEYMWKEZNFg1pPz119/SYYs6iZ1nzp1SrYfvXr1wu7du/UyA+pKo0aN6OxrdnY2Vq1axSn1FhYWqFChQp6V2HPnztG+JycnS4YxWVlZcddaoVCgdOnSkt4PthaSnPTr1w+///47rl69yhlxrPJ16tQpADn5hR9tWCmUMHPyQJG2E2VrRbmN2Q375sNh7uYNolTRcZueng6tVgsfHx/uecptH3Svia+vL/bv388tmzhxImrWrJnn81QqlXoNPEtLS5w6dQpZWVmcMawr5ubmaNGiBUcd3qdPH24dXdbMjy1ezV7bv/76i47Jd+/ecV45qWfe2tpakkY7ISHBYE6UPqlYsSJn4PXt25drL1myJEaPHi0byiy88xYvXkyXrV69OtfvUmOQnJyMY8eO4ciRIwZzil6/fo1Zs2Zx5CTVqlXDunXrkJWVhezsbBw5cgSzZ8/G7NmzcfjwYaO+mx8+fODeo1OnTsXr16+RkZGBDRs2cN7Yj6Wez8rKwpMnT5CQkPDJ2Wo/B1iiD1tbWyxevBi3b9/Grl27uPf5lxC+aIIJ/3WYjCoZ/NeNKhZyBhWrcO3fv5/bJisrCzExMdi+fTtOnDghotH9GIwaNYoe++effxa1s6FykZGRkvvIzs7Gvn370KpVK05Z7N27N1JSUnD69GmjDKtKlSrh7NmzOHDggKitcePGuHnzJpKSkkQzqrVq1ULPnj0RGhqKFy9ecAxUghQpUgQ7d+5EVlYWnj17xiXqs56H6dOnA5A2ulQqFWrVqsUp3oULFxbdLxYJCQm4d+8eUlNTodVqMWfOnDwp+w0aNMDGjRsxd+7cPJMVKBQKzlg1NzeHo6OjpHHVsWNH0bmwdMmCLFu2DPPmzcud90uphrlLedjW6oRC/l1p8d3iQzfzxXb7LIPLgNVw6jYfDi1H57D12Thw5yP8P2jQIM6jJGcw6o5DXc+O7nYajQbZ2dmiMDSp8/3qq6/0GkvG1IyqV68eDVcDciZkjh49inbt2sHV1RUuLi6cNzY8PByxsbF6+/WphDVYCcnxrPXu3RtDhw7liFjc3Nzw5MkTzJ8/H926dUOPHj3w008/SdbHE3Dr1i2j2CLVarXk+P/hhx9w+fJlTJs2LVchlBUqVKDlKdg8wRMnTsj29Z/A48eP9eZhtm7dOs9FaHft2kX3IxRKZsEWev83GAT/TbAThLt37+bakpOT6XvAwsJC73g2wQQTPj9MRpUM/leMqvj4eE45mDZtGuLj43HhwgWOQc7Ly4t+6JctWyaimnZycsLs2bM/yTXq0qUL3e+ff/4pat+0aRNtN0RffvDgQbpu8+bNAeQohYZqGrFiYWHBKce5VUzNzc31ekykjDtWIRTq1bC0zmyi+aFDh5CcnEy3USgUePTokd7rcuvWLcyZMwchISFYvHgx7t69iylTpnxWBVg4V2trazg4OBiVm8Jem7179+q9v4IYE8apMLOERanKKFSvJ5x6hMF1xDZZT5Tr8F9QJOB7mDkazv0xVtg6T7o5RYaui5mZGfz9/Q0eo3PnzsjKysLTp0+xYMECDBs2jPMwHDp0CLdv38awYcPg5OQElUqFokWLomfPnli6dCm2bt1qVBgYwM+mE5JjiOW1iG5u5OHDhxyZjJRYW1vjt99+M+o8dJGRkYFt27ahY8eO8Pf3N1gTy9C7oGjRoga337t3Lx4/fsx5YkuXLv2vfn90GRAVCgWqVauGcuXKcf0X6uXlFmFhYXQf69atE7XfunWLtn9q0o78DqF8gZ2dneQYYL+XpjwkE0z4d2EyqmSQH42qrKwsKp8KISEh9IUseEQEZGdncx/SmJgYrmaTlHTt2jXP1ykhIQF//PEHV7xWyhPFerIMhcSwdWh++uknAMDFixfpMk9PT6OUN2MZBz+FtvEuawAAIABJREFUWFtbo2rVqvS3MPso0IgrFAoMHjyYth88eBAAMGLECLosPDwcISEh6NWrF0aOHIkTJ04gMzMTz549k1RC1Wo1goODcezYMUnDSldZNEbxlyoKSwhBs2bNDCqfRYoUwciRIzFkyBC9Y+GXX37Rux87Ozt6Pmq7YrCu0hqOXefBbcxukfFUfHAkirabCofW42DXqD9sarSHWbGyUCgNK9J+fn55yo8S5GONWaljDxs2DK9fv6bX6u3bt3QcW1paGuVdNvado9VqOSIYY/qrmwemVCpx+PBhUaicnDRo0AAAsHv3brqMNcKVSiVatWqFGzduGDxPY9GqVSvZ/vj4+MheA4VCgaCgIKSmpmL06NG5vt9btmz5ZOeQF5w4cYL2xc3NjRbR1Wq1XN09NiQ7N9+rlStX0v1PnjxZ1M7mxvXt2/fTnlw+hzARYmVlJZn7xY7JTznW/y18Dj3HhP8N5IexYzKqZJAfjarPwWzCJvgLJAIs2CRyXYOqadOmmDlzpoiVSC4kTw779u3jCA1YsbGx4Yr4xsTEUJINMzMzPHr0CJs3b0a7du3QoEEDfPfdd9i9ezd9qCIjI+m+xowZA4A3tNiQu6JFi4qY0eRIJkqWLInQ0FDUr18ffn5+nJKkVCoxePBg7N+/X1QvqmzZsnrrCSmVSuzdu5cLcRS8cdWqVaPLhPwDhUJBWcGk6jqxUr58eYP5K3Xr1sX+/fv1hisNHDgQ9+/fx6ZNm1CnTh1ZJTA1NVXERKgr9erVw+rVq7F48WJu1rtGjRoAcljFhGVVqlTBhw8f6FhIefMe5b0qQG1XDCprB6gKFobGwQ2aoiWhcSgB2zqdUaTNBBTtOAPFh24SGVHF+kXAvtlQFKrUGFG/nkQZD+MMbGHcRERE4MSJE9QreOnSJXTo0EHSm6FSqVCiRAm9RY0/h7i5uSE+Ph7Pnz/nnlNj8y9y88559eoVOnfuLBsKKpV7qPusZ2RkICMjw2BBYZVKhZMnTwIA1q5dS5eHhITgxIkTOHLkCJ48eWLUOeYGCxcu5N4B33zzDbp06YK9e/ciLS2Nq/HUoUMH9OnTB9OnTxeRCDx8+BBTp05FgwYN9NaL02g0tJ7ev4mBAwfSPkkV0B0wYABtFwg1cjN2Hj58SN+h9vb23Lfo7du33CTTtm3bPt2JfQFgPVG6xZpv3LhBJ1SKFCmS5/DL/IT8wOBmwpeJ/DB2TEaVDP5XjCqWfWrEiBE4efIkl7w7ZcoU2s4mxS5ZsoTbz5YtW2hb9erVjT7+3LlzjVIOvby8RAU4AwMDuXoxrHh7e+PBgwd49uwZ/egUKlQIcXFxCA8Pp+uxHqhhw4Zh3bp13H7kvC3NmzdHSkoKEhISOBp3QzJo0CCcP39esnitp6cnNSAvX75Mlwsz7rqMiITkGFVVq1bFnDlzDBZ/ZcXe3l4UuiNI+fLlcezYMREzmK+vL+rVq8exw0l58Ozs7KhRyxZL1pW2bdtyY+39+/dczsbly5eRnZ2ds0yphm2tTigdMAIB09ajxsStOSQRo3bKhu2JCCVG7YBj59mw/qolVDZ/K/guLi5ITk42yLAlyMCBA/WOaTZ/btGiRejRo4fBfQrXOTceDJVKRUODBGET+gXRaDScoWdubo6hQ4eiXLlyKFCgAJycnNC7d2/J9wr7zjl27BgCAgJQqFAhWFpawsfHB2FhYXj79i3WrVsnqimmK5MnT8batWs5BVnq2qampuLRo0ey3kwLCwts3boVQA4DHUvecuzYMaPfPXlBcnIy52Hr1KkTDhw4gKioKK5IuK+vr0EShB07duj1bnp6ekoWMP83wLKHSk2+sYbt4sWLAeT+e8WynVpaWqJr164IDg7mQibd3d2NqnX1XwKbn0hITvjjunXrMG7cOO79y9b4+5KRHxRjE75M5IexYzKqZJAfjaq7d+/i9u3bkh+1vODkyZMiJi5CcgyYkydPIikpiTMqBMXPyclJ5F7VarVcDoUxNT/YkJLcSo0aNQzWkipTpgxev37NzfRZWFhw3ilWduzYgQcPHsgaUsaIIc+Mu7s7JYg4d+4cFi1ahIULF+L48eOcEpaamsrNen9q0VXGpRS6ly9fIi0tDX/99Re2b99uNG23ra0tVXxGjx4tu15MTIxoTAieAIWZJaaH/Yy4528wa8txuPRZJm8sjd2DEmN2w31cNNyG/4Liw7agxLhoFO34A6wrt0JBn29g5lQGRCmvwDo4OFDDQ19oYs+ePQ2GzXXu3Jmuz87wC8+QHEGKmZmZwbBK1hBu166dKG/p/PnzonxHViwsLGS9rwqFQlTn6e7du7h165aIwY8VfZ4WXWnYsCFSU1Px66+/6h0/+nIey5Urh9DQUMybN48zwoW8z88NXUp4XTE3N5cc2yyePn3KPU8lSpTAgAED8M0333D7Eoox/9vIi6cqt9+rxMREvUQYtra2uHDhwic9ry8FhsLu/fz8/jMkFZ9azzHhfwf5YeyYjCoZ5Eej6lPi2LFjehP6lUolF6rUvHlzqmxWqlQJHz58QGRkJLp374527dph3LhxHKXzixcvDPahdevWouNWq1YNcXFxXLFNVjw9PREWFsYxFvr6+uLo0aN4/fo1oqOjUaZMGdo2d+5cJCcnG0UdbgwTGrtvKRk6dKjBZPbAwEC9yl9aWhrH+vUxUqpUKb2hVLa2tli6dCmuXLkiUuinTp0KAHj27Fmu2f3WrFmDlJQUiSLFCliU/Ao2NdojdMcZnLnzAn8+e41TcYn49cYzNJ6+FcWHbJTMecoxlGbCrmFfWFdpBY2DG9SFnEFUGtStVw/Va/w9/hRmllyf9Rka+p6BChUqoHr16ggKCsL58+eNerbYvBphIkKlUmHJkiVIS0vjct/0Sbly5bBw4UIuJPWHH36g/0vdk7CwMC6/RVhuZWWFESNGcBMRCoUCZcuWFXm3Dhw4wJ2PrhFhb28vm4vIUqnLPU/BwcFITU3l+q9UKmW9dGq1GvPnz+c8pLpSoEABo+/Pp0B4eDhHNiJIyZIljWLpmzZtGt2mQ4cOnKHOkq+wRYn/TeQlpyovSE5OxuDBg7mxoVKpEBgYSIuG/y9Cq9Vi7ty5ogkRtVqNLl26UDIjE0ww4d+FyaiSwX/ZqMrKyuJya0qVKqXXoHBycsL9+/c5ljJ9LFYWFhZo06YNAgMDMWfOHCQmJnLHT09Px5s3b2joCxsCExcXR9cRK+QEiYmJyMrKoh8Xc3NzmlMk4I8//qDrly1bFkBOsdmhQ4caxTgnp7QJ9VGuXbuGwYMHo3bt2vD39+c8Yezsc9u2bXHlyhXJsL2zZ8/K3p+pU6fS9TQaDdq1a5cnIys8PFzWOGUVllOnTkGr1Yo8Di4uLtBqtZwCyIqtra3ekC/WuFQXckJB36YoFvST0eF65b6PRumQfag45VesOBGPpLcfcPnyZYSHh+Pnn38WFXn+lFKtWjWRtyEmJgadO3dGyZIl4ebmhm+//RZ79+4VvRfYPDBBgoODAQC//fYbNWJYI6Jq1arw8PCAm5sbmjRpgq1bt1JlOjfnyYbCsYQIfn5+XH5k5cqVERcXh+joaHz77bfcBErVqlXpuWRmZnJezbCwMGoAXLlyhXsPsIZW6dKlce/ePUnKe6VSiW+++YZ756jVarRv3x6VK1cW1YM7cuQIAODs2bOiIrqEENSsWROXLl2SfJZevnyJJUuWoHPnzujQoQNmzJhhkBkTyHn/R0VFoX79+rCysoKFhQWqV6+OVatW0fN///491q1bhzFjxiAkJATR0dFGJ0iz+ZFsbS0BzZs3p+1y5/ZPQor9r2rVqiLPUl7Z/3Tx7t07nD17FqdPnxZ9P/6XkZqaiu3bt2PRokVYs2bNZ8kbNMEEE/IOk1Elg/+yURUdHU0/grVr10ZmZib27dsnSYFcpUoVGtc/c+bMPCmo5ubmWLx4MSIiIiRziYRZTldXV66ftWvXFq17/fp1JCYm0t/ffPON5Dl6e3tTBY71Cr179w6xsbE4efIkli5davQ5SNH8CtBqtaLzcnZ2RkREBEd9zeY89enTR3JfGRkZNCRTqVRSKmg2QV6Q1q1bY+HChWjVqpUoNM/Gxgbr16+nCqpCoZA1nL29vTFx4kTJtqNHj4pqAemK3H4VanNYetSEY5c5OhTlUSjacSYcO81E+TFR8Jq4D+W+z2kr3GQwzF28UMa3OrKzs/E+PRPvPohn6qOiovI0Fo0RlUqFtWvX0mNlZ2eLwvhYadmyJVJTU7nxoBu6WblyZRENOsvCOGjQINnx1a9fv1yfg5WVFRdiV79+fU4pjo2NRf369WW3nzFjBgDeQ9GiRQtR39hQRzaUWGCrO378+Efdi0WLFomOeenSJYSHhyMiIgJXr16VvW4bNmyQNPpVKhUmT54s6y1OT0/nCHx0pU6dOhyrYl4gvGstLS0l+8F6M//t+lQCPmedKhNMMMGE/wJMRpUM/stGFUse8Msvv9DlWq0WMTExHPMcm/yakpKiNwTnY0WtVtNZSTYhnJ25joiI4OpUWVhYIDg4GNeuXaP9zMrKogqepaWl7HVglVV94W3e3t6Ij49HWFgYpk6divDwcCQlJXH7iomJ0Zt0rlQqsWHDBvrb399fsk+///47p8SuWbOGm9VmpUKFCkaTKxhDliAlKpVKNgdHShSaHEPKvtkwuA6PEnmfQqIuYMoPP4q3VSihtLKl10qqeLFWq8WTJ09w48YNSSY5Y8I3jRWlUklJD3Q9dVZWViKPZ9euXbm+3r17Vy8Nf+3atTkWynHjxkmOB61WKwpdrVevnmTorCCWlpbYtm0bV8ts8eLFNASycOHCRtWQ2rp1KzZv3kx/z5s3T9S/yZMnSz5Dgsd57969dJmLiwu3f0dHR4wdOxa9e/cWvVc8PDw+ikZct26WlEybNk1yW5bGn5CcyR5dQpyAgIA89w0AV7fu+PHjXFt2djZ3f/JTbsnr168xa9Ys7npUr14d69atM1Fgm2CCCf/zMBlVMsiPRtW9e/cQFxf30YxQ48aNox9EqYKqbE2QsWPH0uUPHjwwWiktXbo0XF1dJY2wChUqyDKAfffdd7h79y5XRd5YEWafWWVVKPgrBSG80BjGNV2F3cLCAqNGjUJmZibu3r2rN9fK0dER0dHRuH37Nl0m52E7e/asrBKqK7o1efSt+ymL+pqZmaHf0NEYs3AtagVNg32LkSgS8D2KD90sMqLKj9uOgClrEHPxGtIzc54frVaLmTNnShI2FCxYEFFRUYiPj8epU6dw/fp1ZGZmYuXKldT7mFvR9eKxvwsUKIBdu3bR36yy2KBBA7x584YaC0qlEosXL8aHDx+QlZWFqKgozhMiGBICpIhYSpYsiblz5+Kvv/7iwuUEenBdnDt3Llfn6uDggG+++YYz6Ozt7fHq1SuOvdMYKV68ONasWUN/d+7cWdQ/1oPK5miuWrUKWVlZnGHHTgDMnz+fyyNKTk7Grl27EBkZiZiYmI9612ZlZXGEMZ06dcL58+fxxx9/YMyYMfRZ1mg0eP78ObdtYmIiPQ9zc3Ns376dFj0/fvw4l0clhAPnBRs3buTGXExMDLRaLRITE7k6XXXq1MnzMT430tLS9JK2fKrvlQn/WzCNGxPyivwwdkxGlQzyo1H1KegitVotV2ixbdu2onXY2kpszSk2nOjbb79FQEAAateujYoVKxqtqPXr14/ub+/evZ/Uu0AIESneUh4PAbqGhpAQPXLkSHh4eBh1PB8fH735ZcJ+Y2Ji0K1bN7ps1qxZkn16/vx5rq+JQqGQTJr/HKK2K4byw9fpzYUqP3Yrpu65gdj4JNkQq6SkJI6CmhXdGlmGqLqdnZ31MiXq3mdd4o4FCxbQ/0eMGMEZyIsXL6b/9+7dW3QeP/74t9dNqmhpo0aNaLulpSW6dOmCHj16cJ6ur776SvY6RURE0PXat2+f6/tsbW2N06dPIzMzE5MmTRK16yOrIYQgKCiIGmgqlQr79u2jfUtMTJT1eNnY2MDLy4v+LlSoEM2xK1iw4GdlKmPfUw0bNhRdW5ZJbc6cOVwbW25h5MiRon2zY0XqfhuL9PR00XuTLVQtPNdsjb4vDfmB3tiELw+mcWNCXpEfxo7JqJJBfjWqzp49i3nz5qFZs2bw8PCAj48PRo0ahfj4eL3bpqamIjQ0VJK1q2PHjoiJicGZM2e4xPLChQtzuSJHjhyhbaxxJJdvotFoRKFj1tbWSElJodsaoooVRIq0wpAMHDhQL8seS8ygUqk48oh3795xCo6lpSV++OEH7N69W5QbIycsUQPrObCwsEBCQoJsv9gZ/dwaWHn15ugVpRq2/l3h1CPsb+Np7B4U77sCDi1Hw6ZGe9hUawursrWhKeKOEzJeFyDHmJo8ebJBZT63snXrVsTGxqJHjx4Gr5luAV7WULly5QqCg4O5MST8HxUVhezsbBw8eBBBQUFo06YNV1BXyuh6/PixXvZFJycnkYeLxapVq+i6s2fPxvv377F+/XqEhIRgypQpWLFihewY69atGyZNmpSrSQ9d0Wg0HBELITl5li1btpSlhjckISEhsuf7KRAaGkqPtWbNGlH7pUuXaHuPHj24tunTp9O2Xbt2iba9ePEibWffgXmBrreSFbVaLdn3Lwn5QcEx4cuDadyYkFfkh7FjMqpkkB+NqmfPnsnm16hUKvz000+S27169Up2O32i+1Fnc6qsra0pa5WUYVSxYkUkJSVh9uzZojY2N+P69et0eYECBSSV7RYtWnD5SoaU5sKFCyM0NNRgzZpOnTpxyq2Qz/X69WvOq0RIjjcB0F93yRhRKBTYsGGDqC9//vknBg0aBHd39zznrfn4+ODFixeypBO5EoUS3vVbw6VJXxTrG855opy6hUJVwE5yO7VaLXvdb9++bbA+Vl5FpVLh4sWLyM7OlmSIM8Yob9WqFQBwTIusd2fkyJGSRCuCSBlVAJCQkICBAwdK3ld/f38cPXpUcrsrV65w7I2lS5fGu3fvaLtWq0XPnj1p+4IFC5CQkIB79+7h6dOneovsyolUmOjUqVPRqlUrvdup1WqDpQQIyQnF+9wU4ax3ceHChaL2Y8eO0fagoCCujSWvmTJlimhb1pM1fvz4PPfxwIEDoskZMzMzFC9eHKNGjcpXeVR5RWZmJjIyMvIFJbwJXw5M48aEvCI/jB2TUSWD/GZUZWdni8KlrKysRAaG1Oxq+/btuXWqVq3KMYHpSoECBRARESHZD7YIaJEiRTBx4kRuZl8QoabI8uXLRW0+Pj50f2z+0+jRowHkGDVCPR1ra2v06tWL2/7kyZN6mcsWLFhg1DVdvXq1SKnx9fXlWPoEqVSpEs6fP59rJZWVMmXKIDo6WtSPlStXGqWQCiJVbLVixYpcwWUpY9aQaOxdYdcgCEU7/gDX/y+gK0jxwRtQ0LcpLEr4gqjkCTlq1qwpea0/fPggmXeWGxIMQZYsWSJ5DcqWLYt69eqJlru5ueHevXsYPHiw7D6//vprvH79Gtu2bePuV3x8PH3GDOWlFStWTLZGD1tfSkqWL19O1/3jjz9kQyNdXFywfPlybN68maPdtrS0RHJyMt2HrhHk4+MjIltgpVq1ati8ebNkQe1GjRohMzMTK1askPR6DR06FG/evEF2djYWL17MhWsqlUqYm5ujYcOGND/pc+PKlSv0+K6urlx8fVZWFlf8m2V5BICHDx/S+6xbbDYuLg7Fixen2xpTF+vVq1dYsmQJ2rdvj9atW2PcuHGSYZisjBw58h+5TiaYYIIJJnxamIwqGeQ3o2r//v30o+vk5IQDBw7QxGa22KiPjw/3QWaVwkKFCuHcuXMAcmL6f/zxRy6Ex8/PD6GhoXqLNyYmJhosgGthYYF58+Zh1qxZXMI4q0gDOa5aVjlmFRjBs+Ds7CwqTrpv3z506NDhb2NAJwxp5cqVeq9lcnIyRo8erZedTVfatGnDeQXYml3GilTxysOHDxsV4leiRAl06tQJBw4cQFhYmKjd2dkZDx48QHZ2NqKjoyVJLnIozmvAvtlQFG0/FaW6zYJLzzA4dQuF26gd4vyokdvg0GosCvo2hcLMUrZvbP83btwoec0jIyPpOoIB6eLigoyMDM6zYIwsXryYo/I2RhQKBUqUKCFpGNnb26NXr14iCv8lS5YAABfiR0jOZIa/v79oXBKSU5xXF4cOHeLWKVu2LLp06cKFBSoUCly8eBG3bt3Kk6HJToKwddrs7e1pWGtKSork+VtbW2PYsGGy5DAsWYJWq8Xu3btpmxThCkvCoBte97mRnp6OWbNmiTzeXl5eGDt2LOe9c3Bw4MKbBXz33XfctrVr10aDBg24iQ859k4WUVFRBotmlytXDv369RN5Fbdv3/45Lo8JJphgggmfESajSgb5zajq2LGj7AdXq9VyIU9sPOm8efPo8pkzZwLIoXsuV66c5Ee+aNGiXG6RVqtFWloaZ6g9e/YMbdu2zTOjnEajEYVRNWjQgDsnqRpVgnz11VdUWbG0tORmz5VKJR4+fCh7HZ88eWLQKCxcuDCaNGnCGQsRERFcHR4pKVasmGybh4eH5PiR8qxISYECBRAdHY3Lly/rJcbQ9XjZ2tqCKNWwrtwKxQdv0Esw4TZ2DxzahKBAxYYwd60IQnKXz1WrVi1ZNjC2JpNgNNja2tK6NuxYMpSrY2x4pLOzs6zhbGZmptc72KVLF3q/EhIS9PbJwcGBjhV3d3fRubPGyvTp0+mzlJWVxYXOdu3alcun8/DwQFhYGNavXy/rubKxscG3336LGTNm4OLFiwD44tGhoaEAcgyqsLAwg4ySgtjZ/R3e2atXL+58WKNJyiuckpJC2xs1aiT7LLK4f/8+YmNj8eeff+bZS/PhwweOGESfqFQq7NmzR3I/r1690uvJ9/T0NFh09cCBAwbfj76+vty5sqGH+Zn1zwQTTDDBBGmYjCoZ5DejqkaNGvSDK0VywCpSu3fvpsvZnIzDhw/j9evXesOACMmZud62bRs6depEFdhChQph4MCBXFL9w4cPsWbNGixfvhz79++XTbquXbu2XkPA29tbdE66oXmCIqS7TPdc2rVrp/c6smGDuTEK85qUL8iSJUvw4cMHbNy4EX369EGXLl24Ap+C1K9fH+vWreOUWjmRrIulUEJlbQ91IWf41W2C0Uuj4NxnOTWcXIJXw65hPxSq2x22dbqgQIUGKOD1NdSFi0NpIc2yZ8y5N27cmCMg0QWb08eGo4aFhQGA5Pm6u7vnKS/Izc0Nq1atwvv375GQkIAZM2bAy8sLDg4O8PT0REhICB4+fIizZ8+iZcuWnPFctmxZLF++nHvW379/LzkGLS0tERQUhL/++os7v7S0NLptWloaHWeurq60lo9Wq8WRI0cwdOhQ6lVhqd5LlCjBFZjVarXo3r07bS9durRk/mHt2rU5spnffvsN69evl/SqyYmFhQXnYdm/fz9evnxJ+7Jnzx7a1rdvX9G9PnPmDG2XYhdlER0dzb3bCMnx3qxcuTLXxtWECRPoPhQKBerUqSM5EVKuXDkcPnxY775SU1Mxd+5czpvo7OyMSZMmcddCCrq1xdq1a4eLFy/i3r17otBi9n2q1Wq5d6i+iIEvAS9fvkRycrLB62WCCSxM48aEvCI/jB2TUSWD/GZUsTOwUqEhLEMXm/jOMmFNnToV8+fP5xTIunXr5kphtbKywsGDByX7yBa3FRTDVq1aceQErALr6emJefPmccn3Aj58+IDKlSvnqm82NjaUbEIKbK6FsTlMn4KlrnTp0jhy5Ihkvgor/v7++PDhg6xXQlJUaqgK2sPM2ROFvu4Fl4HSdOc5OVFNQJTG527JiYODA2fMLliwwKACzOax/PTTT9z+AgMDRYx8hBDMnTuXIwYwVqytrXNF2Z2YmIgrV64gPj5e8jzS09Ppvj08PHD16lVcuXKF5rBptVqOgp/11iUmJtLlTZs2BQDExsYa9HpKhRGyhaENnb/wf+/evT/qXn/99dc4f/485/1+/fo1NdLMzc253KK3b99y75RVq1bJXnepMFZWDLF3skhNTaUeULVajVOnTtG2y5cvc6yYxuZcAjn3NiEhAc+ePTP6/R8bG0uPVa1aNW473feJbtFnNhfu0aNHRvczPyI/MHGZ8OXBNG5MyCvyw9gxGVUyyG9GFWsc1atXj4ZNAcBvv/1GvQmFChXC+/fvaRubeF2wYEG4u7vT/bB5SXJiZ2eH2rVrczOsBQoUEIXY3b59GyNHjtSrLKpUKmzatAkZGRn48OGDwXNOTExEnTp1jFYAf/31V737CwoKktxOqVSibt26otCoCRMmiGbR8yKrVq0S1V6SkrVr13JkCpwnTaGEmbMnLMtUg3WV1ij8zQAUCZwMt1E7xWF8Y3bDdXgU3MfsRJOFJzH/4C0EDxslqnGkUCg449Lb29ugsq9UKhEdHc3V62nRogUaN26Mpk2bYurUqZLKIFsbrWrVqujXr5/B62EoH0U4B+F/1juwdetWg+MrN6hZsybd944dO7i2HTt20DZdoo6MjAzqgbK1tUVUVJRROXRSin9cXJzoeRoyZMj/sXfeYVFcXx//Liy9qzRRECxgN9h7xQpWbFixJzYsyC8xtmiMRhOjscUaE+wYu0Zjjb2XSBQsWBEpSocFds/7B+/e7OzMwrKiYnI/z3MfdufO3Llz5+xwz5xzz6EjR47QqlWrJEO3a8pQUFAQbdiwQW+rVffu3enChQuS/6QmTpwoOEfnzp1p6NChgiiLzs7OgmeRJteuXROMQ40aNWjcuHGi3/vWrVv1uj8nT55kx/Tr109Uf+fOHVavr0uioWiGwVdbYtVoW9bVESeJ8hVStcXWzMxMYPH8GCkJExzOxweXG46hlATZ4UqVDkqaUvX69WvBJNPd3Z3Gjh1L3bp1E0ycQkNDRcdqhwcH9Hdn8/LyIqVSSW/RMj25AAAgAElEQVTevBG8RVWfJycnh8aMGVPoxNff35/Onj1b5OtWqVR04sSJApO7AtKhkzXRDhYgVbQtY9rujOqQx/qMm7oEBgZK5rWSct3Tdg2SmVqQpXdTKt1pIrmN/UXnWiivzw/SJ18dpb4rTlHf0IVkYfWPnKjdi+Lj4+nx48e0efNmWrduHf3222+UlpZGSqWSEhMTBVaXGTNmSLpGOjs7s+iSmpHnpK5NvZZHTUZGhmDsTE1NqXLlykWKelhQqVWrliDgxerVq4ssawWhaYWVy+U0bNgwWrNmDQ0bNkxwLzWTZavRDHCiPa66focVK1YUhYX9/PPPBfssXbpUUB8XF8eSCmufx9bWVvQb0kzc26lTJ+rcuTO1bt2aRowYQRcuXGCBcF6+fMkswLm5ufTbb79R165dC1R6ra2t6dy5czrHc8iQIYJniaZFSlMBb9iwoV73R9Mlcfbs2aL63NzcIrdpKJqyMmPGDEGdpps2kO82S0T07NkzwfN10KBB77SP7wNt2eFw9IHLDcdQSoLscKVKByVNqSLKjwBYkDtay5YtJaNZpaenFxiCHMi3cGmuv9IsYWFhdODAAbp8+TKbBLq7uxORbuuPZmncuDFbS/I27Nq1S2Q5atmyJR06dKjA4zIyMthkU3uiWZS1Uj4+PpSRkUHdu3fXa/8KFSrQrVu3BNvMzc1p/fr1lJ2dTSkpKeTu7v5PvcyI5KXKkaV3UyrTLUykPFWctpu8Q34hl8FLyLHHdLJt3Ic2HzxF2dnZNHLkSEkLiJOTE127dq3IY61pfbG1taX58+eTQqEghUIhsJoWVLTD8l+/fr3AfFEtWrQo8hoqU1NTCg4Opjdv3giUl40bN9KCBQuocePG5OPjQ61bt6a1a9fqtJxok5mZKbAUKJVK6tWrV4F96dWrl+Qz4s6dO4UG15CSQz8/Pzp69ChdvXqVJk2aJLi/crlc8reu6e5X0Fg3a9ZM4KY2cOBAQTvp6em0bt06CgoKoh49etC0adPo1KlThb7cMDExoX79+lFkZGSB4+vo6EhAvvKlfU9UKhVVq1aNtakZKl4Xmq69DRo0ELkNakYsLGzd5dsSExPD7pVm/jui/CA/2lZrJycnwb21sLCgO3fuvNM+cjgcDqf44UqVDkqiUkVEdOnSJercubPgn7CzszPNmjWrQHeRnJwcWrdunWRAAJlMRtevXxfklNIVxEFtTbG0tBS41KjbCQgIoClTpogsOtr5YAojLy+PYmJi6OHDh6KIcs+fP6dbt27Ry5cvRcfl5uZSUlKSwD1S0x1Hs3zyyScUExMjyKtTWFEH3NAnyIWXlxdt2rRJsG3u3LmsX0npClp77C9y7v8NOQXOpnLjwkWKVPmQ7eTQejiZe/pSrTq+1KZNG0F7UVFRhYYXt7GxkQznXhBSSXS9vLz0CqChOVbabp7Pnj2jSZMmCdpp0qQJbd26lVQqFWVkZNCkSZNESnD16tVp5syZAoVhyZIllJCQQCqVinbs2MGsXlZWVjqj/nl6euoci/T0dFq0aJFgfVStWrVo1apVpFAoKCcnhz7//HORhcbW1pY+//zzAhMOHjx4UOc42dvb07Fjxwp1vdQscrlc8veumUduwoQJouOqV69Oy5cvp+zsbIHLnGbi4sOHD0uucSusmJub0/nz5/WSL7WS6ePjQ69fv6a4uDjBixfNFxcFRfNUo1KpBOumQkJC6PXr18zSrfk80hX1rzgJCAhg53NxcaEZM2bQDz/8UGBUQSBfyTx8+PA77x+Hw+Fwih+uVOmgpCpVal68eEHnzp2j69evCxSIwjh79qzoH7m7u7soWWhh6z4cHR1F0es2bdrEzpOXlydYv1WtWjWdfVKpVHT27FnauHEj/fzzzzRlyhRB/ioHBweaMmUKJSQk6GzjypUr1KlTJzZZk8lk5OLiQm3bthVYt7QtAvb29jqtCIZE/DMxMREoaZo5b0ycPGnxb+co/OJjmrD1OlX4n0RY8ym/kcug76lUh3FkVq46QSZU3rTvi6al0MTERDJxMZDvylhU+X3x4oVgnZJUsbW1pb59+0qu5wFAERERkm3n5eVRYmKiZJASovz1Jb///jtFRETQlStXSKVSkUqlElmyfH19RetUtO+b9pi4u7uLogMlJCQUaIVp1aoV62taWhpFRETQqlWrKCIiQpB0uSA0o/uZmpqSt7c3zZo1i70c0LSESblFGhsbC5TNMWPGCBSR+Ph4pkyamZkJovB5enoKwoBrJ8HduHEjEeVH7issOIu1tTUdOnSI8vLy6NatW4IgOkFBQXqNhbe3t6jd0qVL09SpU+nhw4eCtUVSFjkpdu3aJWhPLpeL1hHWr1+/WKzmhfHkyZMCUyzIZDIaNGgQ1a1bl8qVK0c1a9akWbNmFRqqncPhcDglF65U6aCkK1WFcfnyZZozZw6FhobSjz/+KHBB0Xzjr08xNjamyZMnCyanlpaWgsmUm5ubaHzmz58vaEdqAr17927JCZZUKVWqFHXr1o0aNmxIrVu3pq+//pqioqIEOZD0aaOg8O6GFiMjI1q1ahUlJSXRvXv3SG5TimwbBlL5AfPJ7bNNVG78Zsn1UD6hO8i+VTDZNRtAtg16kEwudA0yMzMrMAqipsWsMOvZuHHjiixHGRkZtHLlSvL19SVra2vRhFud00ypVFJYWJjonPPnzy/yOQvi2bNnBcqLZrLpjh070v3794ko38KraclYtGiRoN0OHToI2qlXrx7VqlVLsE07X1NR0QyEYmlpSU+fPmV1KpVKEB2yT58+tHnzZho1ahR17dpVpByoi6OjI+3YsYPWrVsnyL+mTrqrGYnP3d2d5s6dS0uWLBHkiStdujRTXDTzw3Xs2JHOnj1LDx8+FLqpAgKX0vT0dGbZMjExEYSClyI7O1tn+gW1zKs/Dx48uEhjvGzZMp2/A19fX4qLiytSe2/D48ePKSAgQPQipFq1aoW6LHM4HA7n44MrVTooiUrVrVu36OrVq3Tr1i2d+zx69EgyJLepqSlNnTqV8vLySKVSCaLMqYuTkxO1atVKtN3W1lbSRU7zzX7VqlUF/YiLixOFa79y5YpgH11ueR9dMZJT6aqNaOGhSBq64RJ98tVRnUElXAd/R00/D6eghTuoec+horbs7OwEFg2p0qRJExo5cmSh/Vq8eLFg8iyTyfSazKWmpjLXKU2USqVoPcj+/ftZfU5Ojkhh1Q5YURykpKTQwoULmRJhZGREzZs3p19++YUpfaVKlRIp8Xfv3mX9ql69OtuuuR7HycmJbty4wepOnjzJouXJ5fK3siSMHTtWMDaurq60cOFCybWC6jDlT548KXBtlFRxcXFhCtu9e/cKdOWTy+XsHv79999su4+PD+Xk5NCGDRuoR48eIuvfp59+Krg2zZQOha2nmjp1ql7XYejaort379L48eOpatWqVKFCBWrTpg2Fh4cXyaJfnMTExFB4eDitX7+ezp8/b3By448Nff5fcTjacLnhGEpJkB2uVOmgJCpVhYWLjI2NLTQ6XfXq1Ys8SdNVfHx8BN/VE6DVq1frDCE+aNAgGj9+PLVq1apIyXdLarGoUIfKjlorqUC5DFpMtg16kUPlumTqWIGMbYq+TkW7DB06lNLS0ig3N1enYmVqakrr1q0jIhLlKRo1apSk7OTk5NDKlSupRo0abN+yZcvSzJkzWVLfzMxM0bmaNm0qWDelaekAUOTQppmZmXT58mU6c+aM5Jo5qX4rlUqKiYmhrVu3svP26tVLcn/1eikrKyu2bfr06ey45cuXi47RjLq3YsWKIl2PJvfu3dMr2mGnTp3YMZqKWL169ejUqVP0+vVrncFS6tevz6xzaqKiogRWZXWpWbOmIKddREQEq5s2bVqBwW18fX0F59B8gfLo0SOdY5CSksJe0Mjl8gKfRXPmzDF4rDkfnpIQ3pjz8cHlhmMoJUF2uFKlg5KoVEVFRVFkZCRFRUVJ1g8ePPiDKhjm5uaFRhnUp+ibR+dDFouKDajsiFX/JNedsIUC5v9Gk1ftIasKtUluV3CiX0OKlPtev379BPt06dKFuTg9e/ZMZGH08/MTtZGVlUV+fn46z1uxYkV6+vQpqVQq5oam6dJUqVIlmj17Nk2ePFmwvVmzZnrLdmpqKk2dOlUQwMLIyIgCAgIKfECeOnWKWrZsKeqzq6uryDKRnp7OZMvZ2ZltHz16NDtO25pKJIwc99VXX+l9TVL88ssvBa5XbNq0KVvzk5OTw4JiWFpaisLEHj9+nB3n7OxcqBUkKiqKfv75Z1q3bh1dvHhRtK9mWHJ98pWpn0Oa6QoqVapU4HNSc93TyJEjKTU1lZYvX05NmjQhLy8vqlixIqsvqusfp2RR2P8rDkcKLjccQykJssOVKh2URKVKk7i4OPr666+pXbt21Lx5cxo0aJBeSUXVE6IWLVoI1p/oU6pXr64zqlpBxdnZWZAT530UzZDMhpYaNWqwSZ6xlQOZV6hDDu1GU9kRq/+Jzjc5ghzajSGZmZXkWq0KFSroDB5RlCIVLl+lUtHSpUtFfd6yZQt9/fXXkhPj3r17i2RJ2y3tk08+oRYtWgisKvXq1SOVSkWfffaZQI509dfc3FzvB1tycrLATVG7WFpa0unTp0XHbdu2rUDLT82aNZlipVKpBGu+1GuOiIi+/PJLtv3HH38UnUcz1cDKlSv1uqaCOHPmDHXp0kXQVy8vL9q4caNA0Xn27Bmr9/f3l2xLbXmzsLB46369evWqSMFZHB0dKTAwUCAH2slutVm7di3bd9WqVaL6Fy9eFHrNHA6Hw+GURLhSpYOSrFStX79ep3sdkL9Y/IsvvqBr167Rrl27RJPrSpUqERGRQqEQhciuU6eOZE4nAIVGBZMqlStXFrgVqUtRk+gWpRw5coRiY2N11jdo0IAcHR0LvB4jS3uyqNSQHNqOonITt4mj9IXupVJtR5DMtOD1T4GBgZSYmCiIAgiAPvvsM0Hobm23Oc0ik8kErnAqlYq+/vrrQtdeqYumtUo7YWxiYiKLfmhubk7Hjh1jdffv3xdE9Tt58iTdv39fLyWxKAvxNSMYmpqaUp8+fWjs2LGC6GlOTk6CfEbPnz8XRG2sUqUKTZo0iT755BNBPzw9PWny5MmiyH6agRY0c4k5OjoKrFXHjh1j1yuXy/VySdSXpKQk+vvvvyk2NlayPj4+nvWrfv36ovqcnBy2XsrBweGt+5Oeni6Z1NnCwoLKly9f6D0PCAgoMKw8kdAaJhUpUNOFc8SIEW99TRwOh8PhvC+4UqWDkqhUJSUlUbdu3fRWLtSJOLWtAN7e3kQkdNtRl4sXL9Ivv/xSaNua0cCkQgf7+vrS3r17KTc3l8aMGSOq11QoirtMnjyZli1bpnNMUlNTiYho/Pjxonpj69Lk0HYUuYfuFSlRZUevo9KdJpJFpYZkZKa/i+KkSZMoMjKSfZfJZKRUKqlUqVIE5Eese/z4Mav38fGhM2fOUMeOHdm2v//+m4jyFaqiuHlqBimwsrIShRLXvNcTJkwQydzmzZtZ/dixY4mIaPny5YWed+TIkXrJdGJiIntBYG1tLQhMkJmZKXAnXb9+PavTjGBZu3ZtCgsLo+nTp1OvXr0KXav33XffifqhGV4cyH+5oG3tHD58uF7XVFyoVCpBSHttRfWHH35gdT179jT4PM+fP6dRo0bpbVGVy+WC746OjjR79mxRPjkpsrKymNzLZDLasGEDc3e8fv26QHnTXO/F4XA4HE5JhytVOihpStXLly8NVkS0J5ldu3YlIqKffvpJtO/Ro0eJiCQVIV3F2dmZmjVrJti2ePFiio2NpYULFwpyTqlLUZLIFmeRyWTUr18/unjxIrmWdSOZ3IyMrR2oQrtB5NhzBrlP3fNPpL5hK6h0pwlkUakBwUheYLuaVqPGjRvT1q1bmSuV2gKkuX9aWhpzvzQzM6Pk5GQWUrtcuXJERIKcTM+ePSMiEln9zM3NqVmzZpJjrF1+/fVXkVx9//33rL5z5860atUqFpiCiCg6OprV9+/fn4hIoOiYm5uThYUFlS1blpo0aSJwH9OMoqdJTk4O7dixg/r06SMIcy61Zkwzr1pgYCDbXrt27SLf+3r16tHu3bsl+5SYmFigC2Lbtm0FlrL3xerVq1kfjI2NacCAAbR48WJRGoETJ04Y1H50dLResgPkuyju2LGD2rZty7Y5OjqKEjwXxrx58wTturq6ityDGzZs+J+JksfhcDicfwdcqdJBSVOqtNdglCpVigYMGCAZ6hzIt8joCviwc+dOIiIKDw8X1e3atYuIhBYKfYqjo6Pgu52dneiNdkkocntXsvH1J5fB3+sMe+7c/xuyqlivSO0uXLiQKVYODg6UmZlJEyZMYPUzZsxgn2UyGeXm5grWJwUFBbHPvr6+tGXLFva9Zs2abIKpmbPKwcGBkpOTiSjfqqEZcEGzeHp60k8//UQxMTGC3Ej37t2TTNprYWFBs2bNIqVSSRs2bGDbJ0yYIAhLXrFiRdGE+rvvvmP1n332mUiO7969q/PlgIuLC8XExAj2j4uLY/UdO3Ykovy1RoXJljrAg2YpTPHIzMykH374QTDB9/X1pbVr1+plhXkX5ObmFmqdnjx5skFtq1QqgVuktbU1BQUFidyFq1atStu2bSOlUkmXLl0SrN1UvwAoCkqlUhSVUrNUr15dp0sk5+Ph6dOnomcOh1MYXG44hlISZIcrVTooSUrVvXv3JCfxRPlvmvUNUAHkW63UAvf06VORFatq1ap08uRJ6tWr1wdXgN62GNs6kmWVJuTY80tyG7Oe3Kf8plORavrNMaod9D8ydSncGti2bVuRC961a9do4MCB7Pvo0aNp586dOtsYNWoU3bx5UzLQgraiow6PnpqaKtg+e/ZsgZxkZWUJlGwTExNyc3Oj4OBg2rJliyDU6KNHj0SKsHbp37+/wIqhrahIhWd//fo1q2/RooWgLi4uTtJVVLN4eXkJXBQ1AxuMGTOGiMRRLjWtXQWVLl266P2bUygUH0yR0iYnJ4dmzJghsu6WK1eOli9fbrBF58SJE6wtb29vevXqFRHl5+aSktcxY8YI1rEB/yi6RUWlUtGBAweoY8eOZGFhQcbGxlSzZk1aunSpZJJwzsdHSQhvzPn44HLDMZSSIDtcqdJBSVKqlixZIprkTJw4kYiIdu/eXWRlQy6XU+PGjcnNza1YlBfNN9v65OF5F0VmakHWtdqTfatgcuw5g8qN/VVSeSo/eRe5Dl9JNvW6kryUGw0dO4WycvITImdlZQnWMekq1tbWIivg+vXr6dq1a4LrL2xtj42NTaERGIODg0mlUlFaWhr9/PPPgrrFixcL5CQlJaXA4BXDhg1jLnm9e/dm29VrXIo85jIZbd26VdCHp0+fsvo2bdoI6jSj6NWoUYOOHj1KiYmJzO1RXWbMmEF5eXkUEREhUCQuXrxIr1+/FgVpUY+zpaUlhYaGCuqaN2/OgqLIZDKDJ+zp6em0du1a6tq1K7Vq1YoGDhxIR44cea/PhMzMTDp8+DBt3bqVTp48WWhQiMKYPHkyG6fw8HBBXa1atfSSAbVlm8PRpiRMcDgfH1xuOIZSEmSHK1U6KElK1VdffcUmMWq3J1tbW3r06JFeQSU0J8HvQqHRXEdj6ATdkCK3dyH7VsHk9ulGwVooFlxi6h5yDf6RygRMJTP3mmRs60RGclOB4tS4cWPReP/6669FDoPu4eFBMTExtHHjxmJJalylShVatWoVKRQK+vzzzyUjMjo7OwtChmsGNdB1z5csWUKvXr1iclSmTBl69eoVBQYGFtonKysr0bojY2NjwdopTZfHL7/8km1XKpUs5LyJiQlbI0ZEkjKsbRHp3LkzqVQq+vPPP9k27cSxUvJ94sQJ6tq1K/v+4sWLIv/+zp07JxkuXy0/agvPx4Zm8mjNaIhE+ZZM7XugXdq0acOCTHA42mRlZVFmZiZlZWV96K5wPiK43HAMpSTITlF1Bzk4753y5cuzz15eXoiOjkZqaipq166NNm3a6N1OYGAgKleujI0bN+Lly5eQy+Xw8/NDcHAwTp06hU2bNiEjI0N0nImJCXJzc3W2q1knl/8jIhcvXsTjx4+RmZmJYcOGAQCMjIygUqn07rM2xjZlYFW9NayrtoCJk6ewH69fIOvhFeSlxCMnLho5rx6B8nJEbVSoUAHm5ubIzs5GcnIyDh06hHXr1uHu3bswNTVF48aNIZPJ9OpPnTp1cPPmTTx58gRVqlRBu3btULFiRdy/f1+0r0wmAxGJtpctWxaDBw9Gz549oVKpYGdnhypVqoCI0KtXL+zdu1fy3K9evUL58uURHh6OuXPnIjIyUrSP9vkWLlwIHx8f5OXlAQD69+8PJycnbN++HREREVi5ciXOnTvH6tX07dsXa9asga2tLQIDA7Fr1y4AgFKpRHBwMEJCQhAREYEDBw4AAIyNjTFy5Eh2fGpqKuLj4wEATZs2Rbly5VjdoEGD8OrVK4SGhrJt2dnZ7HPbtm2xdetW0fh16tQJkZGRuH79uuS1Wltbw8nJCZcuXWJ9cnBwkBxLXdy7dw8dO3ZEWlqaZP2FCxfQqVMnnD9/HmZmZkVq+0OjeQ9+//13+Pr6su+enp7o0qULu8/a9OjRA5s2bYKxsfE77yfn48Tc3PxDd4HzEcLlhmMoH6XsvB9d78NTkixVycnJzN1MJpOJ3KWg9bZ+48aNtGPHDhozZoxgHYxmAtWsrCzKzc0VuBClpqbSn3/+ScePH6cpU6ZItl+uXDlRfidNC4FmqPWHDx8SEdHGjRuLZKVRu9Bp9t3IwpbsmvSj8pN2/mOJmraPnAd8S1Y12pLc3oUgE1uINNcEqS1I9vb2bFthlrXC3PPWrFlDXl5eRbo+7bHTzA2lieZ6IrlcTkOHDqWZM2fq5WJZrVo1qlKlimTd119/zT6PHz9eUt4097eysqKUlBRW/+zZs0LXRn3//feCNjMyMlhd1apVReuAlEqlQK59fHyoe/fudODAAcHvLjExkVlGHRwc6OXLl9ShQwe9xrpXr15F+NXloxlApGXLlnTx4kVKTU2liIgIgfvspk2bitz2h+bBgweCe7x9+3bKy8uj7OxsWrFiBfu9mJmZ0ZAhQ6hv3740ZcoU7pbD4XA4HI4E3P1PByVJqSIS5uXRVBCkipmZmWhRe5s2bUilUpFKpaKdO3dSy5Yt2eS8UqVKtGDBAsHEOSEhwSBXvuDgYMGEff78+QYrHF6VvcncvRbZNupN5UO2M2XKZcgPZF3Lj4xtdAda0Dd4gWYxNzcXjeuUKVPo7t279MUXX9DAgQNpzJgxFBYWxupnzZpFiYmJFBYWJnJHK+w+aU5oHzx4ILrnmpHZDh48yLafPHmywOTPffv2JaVSSUqlkkJCQkT1ixYtYu5/jo6OghDqREQLFy4U7C/lIvn48WNBDix1cXV1pQ0bNkjKcIMGDdh+27dvp99++40mTJhAo0ePpr59+7I6Pz+/An8LmoqOt7c31ahRo9AxNjIyoosXL+psMzY2lmbMmEHe3t7k4OBAlSpVopCQEKbAlS5dmtLS0gTHnDp1irWvHZTjY0E76IednZ1oveDMmTM/dDc5HA6HwynxcKVKByVJqUpJSaHZs2eLLEQCBaQAa0mTJk0oKSmJ8vLyaMCAATr3q1KliiAU5fDhw4uklNStW5eePn361qHUzdyqkmOvmVR+coRgjZTLkB/IqqYfyU3NaNeuXXTu3Dmda4H69eun9/ns7e1px44dlJeXR69fvxZM/h0dHUXrRjTXAH311Vdse25uLv366686z2NhYaEzkIR2jqaUlBRWV7t2bZFMvHr1SjJsOPBPrjGifAuRdtj9LVu2CAJVeHt707p16+iPP/6gsWPHihRBW1tbUYCH7OxspkQaGRnRokWLaN++fQVGzNN3/Z+uXFJq9u3bV+h6H+1SunRpnet/Tp06JblmTbMMGjRIdJxKpWJrrVxdXQvsc0klMzOTAgICdF53cHAwvXnzRqRQcjiFkZaWRikpKVx2OEWCyw3HUEqC7HClSgclRamKjY0lb2/vQieN69atoxs3blBQUBCVLl2aLC0tydXVlUaNGsVyGc2aNUtwTIUKFUSBB+rWrcuuc+LEiUWauBoZGVGPHj1o0qRJRVakZHIzsvH1J7fPfhYoUm6fbSLHHtPJunYHgXuf2t3q/PnzkgEKihKUo1u3boIx37Fjh04lJScnR6B0/fHHH4JjdY2ZsbExJSYm0vjx4yXr7ezsBC5xCQkJrK5t27aSsqHLGtegQQOB1bFSpUqszsTEhOLj4+nhw4eFhlTXzNc0bNgwtvhToVDQ2LFjWV2fPn30kmWlUkl+fn6F3o9p06ZJHq9SqeiLL74oVAbVQUbs7e0FbopSbpYxMTFCN1MjI/Ly8hK5WEpZ69LS0phy5+npqdcYlETU4c0DAgLI3d2dKlSoQP369aPTp0+XiGhKnI8TLjscQ+BywzGUkiA7/ymlKi0tjSZOnEiurq5kZmZGtWvXFoWEVlMSlCqVSkXNmjUTTRylkvoaGxvTxIkTBZH41MXBwYG2bNnC1hIZGRnR1q1b2SQ+MjJSkBtJrUQsX75c0E5wcDBt2rTJINc6zX4KJsGWdmTu6UtlR6/7J+z5pAgq3TmETBwrkLm5ueQaImNj40LX9RSlnD9/no27QqEQWC4qVapEGzZsoLVr1wqS71auXFkkE7qSmhoZGYnyT2krfpmZmURElJeXR/v27WNWLWNjY7p9+7bgPLdv3xa1o2lhKlWqFA0ZMkSkxGgqkHfv3hUp1UC+G+TMmTPpxo0bAqtjqVKlqH379gJlrDC3Om2aNm0qOT6WlpbsOmQymaQ75Lfffis4xszMTGQVVbu5qu+LpgyvXbtW1Kame2T79u1ZVMKXL1+KLDhnzpwRHKvpkjt8+HC9x+RS/LIAACAASURBVOBjoiT8k+J8nHDZ4RgClxuOoZQE2flPKVV+fn5kb29Pq1evphMnTtCIESMIAG3evFm0b0lQqs6fPy+afP7yyy8UGxtLx44dK5ILlOYEXsqVSdM6M2zYMCIiSkpKEhw3depUevHiBVWsWNEgxcXV1ZXlvzGytCefkUsEVqly434lG19/grFYMSyu0r9/f8m1T/379xeMR7du3Qpsx8zMjP7880/ROM6ZM0fvvjRu3Jh9lsvlpFQq6fz585KunDKZjAYNGkRxcXG0dOlSwXo3zbVXUkq1ujg7O1NUVJSgvyqVis6ePUuzZs2i0NBQWrlyJSUlJbH68PBwnYExjIyMJBUVXURGRrJjK1euTPv376fNmzfT0aNHSaFQCJSU//3vf+y4s2fPUufOnQXndnd3py1btlD//v1F/bp06RI7VjPgypYtW0R9UiuIZmZmlJCQIKhLSUkRuNyamJjQkCFDaOHChdS2bVvBOa9fv673OHxMxMbG0rNnzyg2NvZDd4XzkcFlh2MIXG44hlISZOc/o1QdPHhQcmLl5+dHZcuWFa23KAlKlWZyTkDsBqZdr558h4SE0I0bN+jPP/8kf39/0T7169en7du30xdffEE9evSg3r1707x581h9QEAAO4dUMAJDi0kZD6rVZxI5Bs4i99C9/7j4jdlAo9afofbdehfbuQoqmm5t6mJvb8+u+e+//9a5XgnIj6x39uxZyXv24MEDgcWlIKVMM9pdu3bt6Nq1a0XOjwXkWy4LW8dmYWHBojEWlatXr1JQUBALjmFiYkK9e/emCxcuFKmdrVu3sv7MnTtXVK+ZOLhjx45ERLRp06YCg31IyffYsWOJiCg6Oprs7OxYn+Pi4gTny8nJYcc0atRIss+tW7cudPznzZtXpHHgcDgcDofz7+M/k6dq9+7dsLa2Ru/evQXbg4ODERQUhEuXLqFJkyYfqHfSJCYmCr57eXkJvjds2FB0TEhICL7//nsA+bmBpPLrXLlyBX379hVs27lzJ/tcunRp9rlu3bo4evRo0TsPwNnZGUkKGSy9m8LU0ROW1VogRWYEy/+vV8Q9wJtjP0Ge/BSbNuZBoVCwY+3s7ODr64vy5ctj8ODBWLRoEY4cOWJQPwDAw8MDT548AQDcvXtXVJ+cnIyxY8ciKSkJu3fvRk5Ofn6rIUOGYODAgbhx4wZkMhkaNGiA5s2b68xjVbFiRQwZMgQ///yzZE4qTV69esU+ly1bFt26dUNmZiaA/HsbGhqK7OxsjBs3DsnJyTrbUecW05VPzMnJCYcPHxbJj77UrVsXmzdvxs8//4y0tDTY2NjAxMREsE9ubi5u3LiBlJQUlCtXDj4+PqIxMjIyYp8VCgWISLCP5v03MjLC3bt3MXz4cFFeMxcXF8TFxQEADhw4ADs7O6SkpLD6w4cPY/Dgwdi5cyfLd9W3b184OzsL2pHL5bC0tERmZiaio6OhUCgEuaby8vIQFRUFID/HmI2NDVJTU1m9l5cXZs6ciSFDhugxihwOh8PhcDj/8NEqVXfu3EHVqlUFyWkBoFatWqy+MKUqMjISHh4esLW1ZdsUCgXu3bsHAHBwcIC7u7vgmPv377OJcu3atQV1iYmJePHiBQDA3d1dkJhUqVSKzn/kyBHk5ubCxMQEMTEx2LNnj2ifoUOHIjk5GU+ePMGECRPw559/FnhNUpiZmeHWrVvw9vbG0KFDi6RUqSf25p6+UNXpCLcqwjFVxEYh59VDpF0/iNzEfCVHIdGOsbExDh06BHNzc0RHR+PTTz/F+fPndSZhLYykpCQEBwdj48aNOvdZuXKl4Lu3tzeGDx+OqlWrol27doK6W7duAQAsLS1RuXJlAPnJjpcuXaozWa8mmgoEAPzyyy/ss0wmQ8OGDdGzZ0/IZDL07dsXPj4+ePjwIYD8sQkKCoK/vz8OHz6MTZs2gYiQm5uLHj16IDIyEunp6XB2dkZQUBCGDx+O+Ph43Lp1C8bGxqhRo4bg3PHx8Xj58iWA/MTIdnZ2rC4nJ4cpoXZ2dqhQoYLg2KioKKxYsQLbtm1DQkIC2163bl1MmjSJnatcuXKC5LLz5s3D/Pnz4e3tjQEDBiA0NBRLly5l9d7e3pg1axZLQty6dWucPHkSANC9e3dYWlqylwceHh6IiopiY/ro0SM8evSItVW9enXW9vPnz5GUlAQAqFy5Mrp27Ypt27bh9evXmDZtGoYOHQojIyOUKVMGa9asQWxsLADA398fs2fPxsWLF5GVlYVGjRqhcePGTFGMi4tjSrKnp+d7e0bcuXMHAGBjYyNSmmNiYpgSWL16dcGzT/2MAPIVekdHR8Gxt2/fBhHBwsICVapUEdQ9e/YMr1+/BpB/nzQTLqanpzM5dXJygqurq+DYv//+mz3DqlWrJqh7+fIlSxBdsWJFWFtbs7rs7Gym4JYqVUqQEB0AoqOjkZWVBZlMxp7pahISEth99PDwgL29PavLy8tjSbNtbW3h6SlMKP7o0SP2zKlRo4Yg2fGbN2/w9OlTAICbmxvKlCkjOFbqGaHm6dOnePPmDQDAx8dHoMynpqYiJiYGQP6LKRcXF8GxkZGRyMvLg5mZGXx8fAR1sbGx7HdYqVIlWFlZsbrMzEyWlLx06dKC5M9A/m85Ozu72J8RDx8+RHp6OgCgZs2agpcrSUlJeP78OYD8Z4TmCz2VSoW//voLQH4i74oVKwraffz4MXuZUrVqVZiamrK6lJQUPH78GADg6uoKJycnwbF37tyBUqmEubk5vL29BXXazwhLS0tWl5GRgQcPHgAAHB0dUbZsWcGx9+7dg0KhgFwuR/Xq1QV1/BmRD39G/AN/RuTzb3pGqH+n+vLRKlVJSUmSb+pLlSrF6gsjLy9PZH1QT2bV9VLHSFkPgHyBUNdpv40HgDZt2ggm20+fPkVQUBAWL16Mo0ePCqxLatLT06FSqXD79m29FSqZTCa4rt9//x3Dhw8HEaFXr16wsbHRT5mRGcGieluU+aQLTJ3yHzwyAJkx15ET9wC5b2KRcecEQOJrBfKtE5UqVUJ0dDRev36NsWPH4scff0ReXh7s7e1Ru3ZtnD17VufpmzRpgvPnz0vWpaenF6hQaY6Bvb09BgwYgMDAQFhYWEjeG+17vnTpUoSEhOhsvygQEZYtWwYHBwfMnj0b2dnZzDIDAHXq1MHKlSthbW2NPn36oFq1apg2bRqAfDk6evQoPDw8BG2+ePECubm5ksq6Uqlk1yNlXVPXaR+bl5eHsWPH4vjx46Jjrl27hoEDB2LatGno3bs3MjMzReOjUqlw9+5dfPnll/j+++/ZP2G5XI7AwEB069YNAGBhYYH169ejatWqUCgU+PXXX/HTTz/B3d0dT58+xe3bt+Hj48MmJWqsrKwwbNgwfPXVV+yfpPa1hoSEYNu2bQCAZcuWYdeuXahVqxaioqIEillISAhMTEzQoEEDyOVy1KlTR+8xfJfPCH3b1e6TZrtSMpGbmwsiElkk1fu/Tbu6rlWzXe1r1RxDqXbV1yplQda33ZJybwq71tzcXOTl5QkmHmr0lcOC7k1xPiM025VC3zGUOl6zT9oUdq05OTlQqVSCCbBUu4aOodQY8WeE/u3yZwR/Rqj5GJ8RReGjVaoA6HTZKqxOjVwuF+0nk8nYQ0XbCqbeJvXQAfKVCHWdlPDXqVMHDRo0wOXLl9m2iIgIRERE6OzjV199ha1btxbJVU4tBGZmZlAoFHjy5Anu3LmDmjVrIjMzs0CFysjICEb2ZWFevgbsGveB3C5f2yeVEhl3jmNGv5YIWThTr36oVCpER0fDyMgIKpUKGzZswK5du1CxYkVERUUxNzcp+vXrhxYtWuhUqgrCxcUFx48fx+vXr2FmZoYaNWogOzubvWGSujea9/zIkSMChcHe3h7lypVDVFQU++FZW1ujdevWePDgAVQqFVJSUpiiVKdOHTRt2hQrVqwQnOOrr77CkCFDEB8fL7h2CwsLgRx+9tln+OKLL5CXl4c7d+5IPgTU7oxSP3hjY2N2PVK/A3WddrsrVqxgCpVMJoO/vz+qVauGI0eO4ObNmwCAxYsXw9nZGb/88gt7KyeFWqECgEWLFqFs2bLszZW7uzs8PT0xaNAgrFu3DhkZGRgyZIjgjaxaoSpbtixmzpwJMzMz1KpVS2Adk7rWhg0bYtmyZZgwYQKAfOVT/dZXzTfffIM2bdrg3r17UKlUkr/zgsbwXT4j9G1XyhVT131Vt0tEyM7Oxq1btwRvjQu6Vn3a1fyriWa72teqOYZS7aqvVUp+9W23pNybwq5VfZ2FjaEh7SqVSsk6Q54RaouDSqV66zEs7Fq1KexaTU1NoVQq38kY/teeEUW91sLaVU9wpSa6/Bkh7tPH/IzQrCuOZ4S2lfNDPSOKxFus3/qgNGrUiOrXry/afufOHQJAP/30k2B7SQhUQUQUHx9PtWvXLlLgAk9PT0Hob3XRTAKrHTmwadOmtHDhQkEAgNDQUEFuqyZNmpC/vz8LWGBkYUtOfecJI/hN2Eo29buTsZUDmZubs2h/6qIOOmBkZEQzZ86kx48f071792j06NFsHzs7O52BF0xMTCQDF+zdu5eGDh1a5CAPbm5udO/evbe6Ry1btmTtTZs2jbKzs4koP0GvZqADdXCG+/fvs20eHh6UkZFBDx48YNs0w7l//vnnoiiQs2fPFpxfoVCwe1K1alXJPhZ3qFGlUimIAnn48GFWp1KpCs1xpg7vr100kymr2zcyMqInT55QamqqIEeYdnFwcKCrV68adD1Hjx6ldu3aCdpr2bIlHThw4K3H6mOmJISo5XyccNnhGAKXG46hlATZKaruIFYTPxJq1qyJu3fvisysan9Mbf/QkoKjoyPOnz+PJUuWiPysdRETE4Nr164JtsnlcjRv3px9V7tWqcnIyBC8oT9w4AAWLVqEOXPmsG2vXr3C3r178fNvv8O++UC4Bv8Iiwp1QHm5UMRGIftZJOK3f4m0K3ugzHiD7Oxs3L59mx1vaWnJzLchISGYM2cOPDw84O3tjdWrVyMgIABAvq/rt99+iyFDhjB/XxsbG4wYMQI3btxA9+7dRdfcrVs3/Pzzz4JtBb0xKF26NObPn4/79++L/GWLQlxcHE6fPg0AqFKlCr755hvm++zk5IQNGzawfqjdzG7cuMGOHzJkCCwtLVGxYkW0b98eAATBEA4fPoxvv/1WcM7AwEDB9y1btrD1RNq+4mrUb4LUb1eio6MxefJkNGjQAL6+vhg4cCBOnz6tt+k6JiaG+cW3bNkSHTt2ZHUymQyhoaEFjn9ycjKqVauG+fPno1OnTmy75u9z4MCBAPItmAMHDkRSUhJOnDiBqVOnCnz0jYyMMGjQIFy+fBl169bVq//a+Pn54Y8//kBCQgLu3r2LV69e4dSpU+jSpYtB7f1b0JYbDkdfuOxwDIHLDcdQPkrZeX/6XvFy6NAhAkDbtm0TbO/YsWOJDakuRVRUFAvVbWZmRsuWLaPU1FR6+fIlde/eXedb/MDAQFq1ahX7rm0JcnNzKzB0tczEnKyqt6ZPwrYJLFNlR64hkzLuRbYQSYXj3rJlC6tfsGABEeVbPbKzs1miYiKihIQEZpkxpMyZM6fY7odmEt6hQ4dK7lO+fHkCQE5OTkQkzAk2Y8YMtt/du3d1WnA0S40aNWjbtm107do1mjNnjsDqePz48UL7vGDBAp33OjAwkLKysgpt49atWwVe96JFi/6RHY3Q8iNHjhSE6f/xxx/p8uXL7PuYMWNYG8+fPxeMh0wmo4oVKwpyRxkbG9OJEycK7S+Hw+FwOBzOu+Q/k6eKKD8nlYODA61Zs4ZOnDhBI0eOJAAUHh4u2rekKlWa7nhSykFAQIC0UiSTUY8ePXS61WlOstkk2FhO5h61yXXYCoEi5T51D1UdtZRsa7QmmdxUsr3CSv369UXjuXTpUla/ZMmSAsfhwIEDBSa6lVIaypQpQ+vWrSvW+/HixQvWfvXq1QXKH1G+YqDui4+PDxGRwNXP3d2d0tLS2P63b98W5K9SF1tbW4H7plTp06eP6PzarF27ttCxkkoOrU1SUhJLCuzq6ipQxFQqFZUrV461V7ZsWfZ51qxZdPHiRfa9Zs2atHLlSvb9iy++oOTkZJo+fbrkOGgWU1NT2rFjR1FuF4fD4XA4HM474T+lVKWlpdGECRPIxcWFTE1NqVatWrR161bJfUuqUjVw4EA2qfzrr79E9Zs2bRJMWA1ReGx8/ansqLXkPm2fQJly+2wT2TbqTUYWtoL95XI59evXjxYuXEhXr16lb775Rq/zfPnll6zfycnJVKlSJVZ3/fr1Qsfi8uXLojVbUhPv0aNH0/bt2/WywBhC48aN2fm+/vprZvVMSUkRJKfVtEr5+fkJ7tPGjRvp8OHDgnVhMpmMJk6cSJs3b6bMzEz666+/JBMXy2QyGjlyJFvLpYucnBxydXVlx4WFhVFiYiJlZ2fThg0bBImH//7770Kvu0ePHmz/gIAAio6OJpVKRfv37xf075tvvmGKm62tLV26dEkgm5p9OnbsGFWrVq1AZblcuXI0adIkevDgwdvdOA6Hw+FwOJxi4j+lVBWFkqpUjRo1ik0wNYMDqJk3bx6rL8yyIZqcm1pQqQ5jBYpU+ZAdVKr9WDK2dSLIjEgmkzFrl5WVFY0YMUI0AdcMzqAuLVq0oN69ewtcwdSWixkzZggsG02aNCnSmKxYsYJKlSolOmetWrUMDlxQFHbv3i04b/ny5cnPz49sbGwE9+LFixfsmMjISLKzsyvwfkhZIpVKJR05coRCQkJoxIgRNHfuXIqJidGrnwcPHmRtd+3aVVSv6bIXFhZWaHvXr18XuWFqW0LNzMwoIyODgoKCBNu1A6UAoDZt2lCXLl3Yd2NjY+rYsSN16dJFYJVs2bKlXtfL4XA4HA6H877gSpUOSqJSFRsbK3CVatq0qcD68vLlS8Fbf32Kra0tjR8/nkxdKlPZUWuYMmXbsBcZWUqv79m6dSu9efNGtA6NKH/cNN3JjI2N6Y8//mD12lYM7VK6dGm6e/dukcdGoVDQb7/9RnPnzqUFCxbQmTNnCnWFK07mzJmj85osLS3p6NGjomNu3LghaU20sbGh7777rlj7HxsbS3PnzmXnkHKDjI6OZvV9+vTRq93ff/9dEK1Qqpw5c4ZSUlIEFj3tUq1aNTpz5gz77uTkJJCDhw8fChTva9euFdvYcHQTGxtLz549o9jY2A/dFc5HBpcdjiFwueEYSkmQnf9M9L9/A/Hx8ahTpw6cnZ0BAOfOnYOPjw/+97//Ydy4cahatSrLaK2mUaNGWL16NVq0aCFqr2nTprjz6DlMmwyGy8BFMHEoi7yUeLzaMROpl3ahXo0q+Oqrr1C/fn3BccuXL4e9vb3OHBOaCdoCAwPRrl079t3f31+UfV1Np06dcOHCBVEGcH0wNTVFjx498OWXXyIsLAzNmjUrer6At2DmzJk4cuQIOnXqxHIpWFlZYeTIkbh27Rr8/PxEx9SpUwe3bt3CqVOnMGvWLISFhWH9+vV48eIFJk+eLNn/jIwMREZGIioqSjJhoC7i4+MFSfCePHki2kedXVzdd33o0KEDHj58iG+//RbNmjVDrVq10LlzZwQHB7N9OnfujEWLFiE0NBRt27YVXJeDgwPmzp2LCxcuCHKMTZ06VSAHXl5e+Pzzz9n3vXv36tU/ztsRHx+PuLg4xMfHf+iucD4yuOxwDIHLDcdQPkbZ+aiT//4bMDExwYIFCzB27FhkZmbiyZMnWLhwoWAfmUwGIoKFhQX279+PMmXKYPTo0UhISMDly5fh7+8PIwtbxDo3RpcfzyM1Ow8yYzkyH15B0v7FUCky0KpVK0yfPh179+7F9evXBe1fv34dCoWChQ7X7p+joyMSEhIA5Cdj1eTJkyd48OAB+165cmXMmTMHDRs2hJeXV3ENU6EQEU6ePIlNmzbhyZMnsLKyQseOHTF48GDY2dkZ1Gb79u3Rvn17KBQKpKenw87OTjKpnyYymQwtW7ZEy5YtC9zvyZMnmDt3LrZs2YKsrCwAgLOzM0aPHo1p06bppQTVr1+fJVZetWoVhg8fDg8PDwBAVlaWIHy+Ory7PpQpUwahoaEIDQ1l2xQKBR48eIAzZ84gLS0N8+bNEx3XokUL/PHHHzA1NQWQH2ZdjVRo+Nq1a7PPKSkpevePw+FwOBwOp8Tx3mxoH5iS6P6XlpZGKSkplJaWRjdu3KD27dsLXKhMTU0pMDCQfW/fvr1kOzXr1CWXQYuZq1/rxSdp+PwNBCPpyIBS5fLlyzr7qZnI18LCgg4cOEBv3ryhgwcPkpeXl6CdwMDAdzVcOnnz5g21adNG8rrs7e3p999/f+99Koi//vqLHB0ddd6LevXqUXJycoFtqGWnW7du7DgrKysKDg6mkJAQcnNzY9vd3NxIoVC8db/T0tJo8ODBLEqgusjlcho+fDhlZGQI9v/xxx/ZPtOmTRO1p+liqQ65z3m3aD5zOJyiwGWHYwhcbjiGUhJkp6i6g4xIz+ygHzkqlQppaWmCbTY2Nsy1q6Tw+PFjREZGQi6Xo27dujAzM4OtrS0AoFq1atizZw/WrFmD06dPQ6FQoHz1erhlXR/GpcpDlZ2ODaNaoZW3I/Jyc2BlZSVw3VOjtm5ocvr0aUmXQgBISkqCi4uLXu5pc+bMwcyZMw24csNQKpVo27YtS9grhZmZGc6cOSNye/wQKJVKVK1aFffv3weQL4P+/v5ITU3F77//DqVSCSA/ibB28mMpXr16hRYtWiA6Olqy3traGkeOHEGTJk2K7RqeP3+O3bt3IykpCY6OjujZsydcXV0l+1a+fHnk5ubCzMwMmzZtQu/evQEA+/btw4ABA5CZmQkjIyM8evSIWdk4HA6Hw+FwPjRF1h3em7r3gSmJlip9adiwIXujb2RkRKYulciuWRA5D1wkCI/eqvcIwXGffPKJ3paq58+fF9iH7777Tq92ZDJZseeOKoi9e/eyc5cpU4a2bNlCaWlpdPPmTercuTOr69ix43vrU0Fo9rdWrVqUmJjI6m7dusUiDJqYmFBcXJxebSYmJtKYMWMEIdRlMhn5+/vT7du339Wl6MW4ceME8uHo6CjKV6UryTKHw+FwOBzOh4JbqnRQ0ixVr1+/xvnz56FQKFClShXUrFlTtE9WVhZOnTqFffv2YfXq1QBksG3QAw6th7F9iFTIfnwTSb//iLo+nujTpw8OHz6MjIwMyOVynD17VvL8JiYmLNBBx44dcfjw4UL7PHfuXJ1WKFNTU+Tk5AAAjI2NERkZCW9v70LbfFu6d+/Oghzs2bMH3bp1Y3U5OTmoXLkynj59CgB49uwZypUr9877VBCjRo3C2rVrAeRbawICAgT106ZNw6JFiwAAmzZtwuDBg/VuOzU1FTdv3kRubi58fHzg5uZWfB03kJycHPTv3x+//fabZH2nTp2wa9cuWFhYvOeecTgcDofD4eimqLoDD1TxnklKSsK0adOwefNmKBQKtr1evXpYsGAB2rZti7y8PMybNw8//vgjXr9+DQAwtikNx+5fwKxsvqKSFXMdmffOIivmGpRpSQCAy5fzA1fog1qhMjU1FQQ0KIgvv/wSGzduRExMDIB8wapWrRqGDRuGAQMGYOrUqVi9ejWUSiVWrFiBZcuW6Tcob4Ha7c3MzAz+/v6COlNTU3Tv3p3149GjRx9cqdIMyFCtWjVRvea21NRUne1kZ2eDiCCTyWBubg4AsLW11enC+aEwNTVFREQEezFw5coVEBF8fX0xevRo9OzZs8S54P6bkZIbDkcfuOxwDIHLDcdQPkbZ4UrVeyQpKQnNmzfH3bt3RXVXr15Fhw4dsHjdVoRffoGHkTHIsnSFnMxh7l4L9i0GwdjSDkQqZESeQtLhZYAqDxUrVkSlJvVw5MiRIvfH1tYW27ZtQ4MGDfTa/8mTJ0yhatKkCc6dOyeonz9/PtavX4/c3FwcOnTovShVaguHQqFAtWrVoFAo4OnpiaFDh6Jfv36CkPQl4UepqdQdPXoUn376qaD+6NGj7HNBlqaoqCjk5ubCxMREEEWvJCKTydCtWzeBFZHzYfiY5IZTsuCywzEELjccQ/kYZYcrVe+RqVOnMoXKxsYGnTt3hoODA06cOIGYN7lw6j0bP9yzBGwrw65xZdg17iM4PufVIyTs/hp5Ka8wYsQIjBw5EvXq1UOrVq3YPs7Ozjh16hS8vLywb98+jBs3Dq9evQKQH/JaqVTC2toaHTp0wNChQ+Hg4KB3/zVNoJUqVRLVOzg4wNHREbGxsUhPTy/K0BiMo6Mj+6y2Wj158gSnTp3C3LlzWf6mUqVKSYb1ft8MGDAA33//PQBg+vTpcHd3R+fOnaFQKLB69Wps3boVQH5/O3Xq9CG7yuFwOBwOh8PRE65UvScSExPZhNnW1hY3btzIX/P0KAVufsOw6fxj5MotAQB5qfGg3BzAWA65TRlQXg5Szm9D6tW9gCo/Oty6detw69YtfPHFFzhz5gw7T7NmzViS1cDAQJiZmaFr164AAHt7+7dKsurm5sYiBx47dkyU2+rmzZuIjY0FALi7uxt8Hn05fPiwyEJnbGzMIug9fPiQbR81alSJsFT5+voiICAA+/fvx5s3b+Dv748yZcogKysLGRkZbL+wsLAC+1uqVCkolUrJhM0cji643HAMhcsOxxC43HAM5WOUHR6o4j2t59i3bx9zfxo/fjyWLVuGB/FpaL/kT6j+/w7kJcchYd+3yHkZzdY6xb6Kx/KlS0EkDo0OCANOAMD69esxbNg/gSxUKhUsLCyQk5OD6tWr486dO291HZqBIQIDA7FkyRKUK1cOly9fRnBwMP7++28AwPLlyzF27Ni3OldhNGrUCJcuXSp0v8qVK+PGjRt6JdR9W168eIE9e/YgMTERTk5O6NGjB1xcyBccGQAAIABJREFUXAT7pKamolu3bjh16pRkGxMnTsSSJUsgk8n0Pq863H1hyYk5HA6Hw+FwOIVTVN2BrxB/T2RlZbHP6pw+lZxs0Ld+vkWnoRMQu2Eccl7mu7A1atQIYWFhOHnsD50KFQCBQmVqaop+/foJ6hMSElhUPvX6o4SEBFy4cAHXrl1DdnZ2ka5j+vTpMDExAQBERESgfPnysLe3R8OGDZlC5enpiSFDhhSp3aJy//59plDVrFkTO3fulAz8oO7Pu1aoMjIyMHToUHh4eGDcuHGYPXs2PvvsM5QvXx6jRo0S3H9bW1scO3YM27dvR7t27eDq6gp3d3cEBQXh7Nmz+OGHH/RSqBQKBVatWoU6derAxMQEJiYmqFu3LtauXSuQCw6Hw+FwOBzOu4Vbqt6TperGjRvw9fUFkO8CduXKFXZulYrQq1dP7Nmzh+1vYmKCzZs3o0+f/HVV5cuXx7Nnzwo8h7GxMS5duoS6desCAIgIY8aMwZo1awAAw4cPR3JyMvbs2cNc5EqXLo0RI0Zg+vTpsLGx0eta9u3bh/79+yMzM1NUV6lSJRw+fFhyzVVxcvz4cbRr1w4AEBoaim+//RZEhGvXruHx48ewsrJC165dkZeXh5o1a+L27dvvrC85OTnw8/PDn3/+qXMfPz8/HDp0qNgsSampqejYsSMuXLggWd+qVSvs378f1tbWxXK+onD9+nUcPHgQaWlp8PDwQN++fVGmTJn33g8Oh8PhcDgcQymq7sCVqvekVKnDSN+8eRMAEBQUhJkzZ8LFxQXbt2/H+PHjmUVJjbm5ObMk9erVC7t27Sr0PKampujbty+8vLywf/9+XL9+HUC+wmVubi5Yt6OJr68vTpw4ATs7O0RHR2P//v1ITk6Gm5sbevXqJQgIAQCxsbFYs2YN9u3bh9TUVLi5uWHQoEEICgqCpaVlkcenqFy+fBkNGzYEAHTt2lW0ViwmJgZeXl4ApCMVFicrVqzAuHHjAADW1tYICQlBgwYNcP78eSxbtowpnxs2bEBwcHCxnLN3796IiIhg36tXrw6VSiWILDlw4ED8+uuvxXI+fXjy5AkGDRokWOMH5Ie7nzBhAubPn8/dEzkcDofD4XwUcKVKBx9aqQKAI0eOoHPnzlCpdLvz6UOZMmUQHh6OO3fuYOrUqQDyXQo1w4drY2dnx3IkOTs7o3v37khKSsLevXuZq1hQUBDS0tKwf/9+wbGmpqb49NNPsWjRIub696HJzc2Fh4cHXr58CZlMhqNHjzLLlXbC2Xnz5mH69OnvrC81atRAZGQkAODPP/9E8+bNWd3Ro0fRoUMHAPm5yK5cufLW57t//z6qVKkCIN+V8ODBg2jWrBkA4OTJk+jWrRvS0tJgZGSEmJiY9xI0JC4uDg0bNmSJlqUIDg7Ghg0b3nlfOLqJjo5GXl4e5HI5kyEORx+47HAMgcsNx1BKguzwNVUlmA4dOiA8PJytbTIEmUyG48ePo0OHDmwNEwB8/vnnmDJlCmxtbQX716lTB5MmTWIKVfPmzfHo0SOsXr0aO3fuxI0bN5iL2NatW0UKFZCvpCxduhQDBw5ESdHBTUxMWCAMIoKfnx/at2+P0aNHo1KlSkyhsrKywogRI95ZPzIzM5lC9cknnwgUKiDf7U8djfHq1avM7fJt2LlzJ/scHBzMFCoAaN26NSZPngwg/2Ggj3WzOJg1axZTqDw8PLBixQr88ccfmDRpErNObdy4UWTF4rxfsrKykJmZKVjjx+HoA5cdjiFwueEYyscoO9wX5z3Tv39/tGvXDhs2bMC+ffuQnZ2NChUqIDs7G4cOHSr0+K5du0IulyMkJIS99beyssLgwYNhZ2eHOXPm4NKlS0hPT0eFChVQs2ZNBAUFsePnzZsncM+rXr06hg0bhmXLljGFydHREVOmTEGtWrVw7NgxLF++HDk5OdixYwcGDRoEf3//Yh4Vw5g2bRouXryIAwcOAAD++OMPQb2pqSm2bNkCZ2fnd9YHTaujqampqF4mkwm2F4dSGh8fzz7XqVNHVN+0aVP2OSEh4a3PVxjp6ekIDw8HkC+LFy5cYMFY2rVrhypVqrAkx6tXrxYpnpz3h0wmY4XDKQpcdjiGwOWGYygfpezQfwSlUknJycmColQqP3S3iIgoOTmZzMzMCABZWFiwz/qW77//vsD2/f392b4vXrwQ1S9dupTVGxsb07179wT14eHhrL5Lly7Feu1vS05ODi1atIg8PDxYH2UyGXXp0oUuXbr0zs+vUqnIy8uLnfvWrVuC+kuXLrG6GjVqFMs5586dy9r87rvvRPXz5s1j9YsXLy6WcxbElStX2PkGDhwoqs/OzmYyXaVKlXfeHw6Hw+FwOJy3pai6A3f/KwFER0dDoVAAAPr27Ytnz57h22+/RWBgIHr27InOnTtLHieXy/HNN98gJCSkwPY119QcPHhQVK/pIla3bl14e3sL6vv164fSpUsDgF55od4nJiYmmDp1Kh4+fIjIyEhcvnwZL1++xIEDB9CgQYN3fn6ZTIbRo0ez7+3bt8fKlStx9epVLFu2DF26dGF1mvu9DYGBgezz/Pnzce3aNfb90qVLWLx4Metbz549i+Wc+qLrjdJH9aaJw+FwOBwOp4hw978SgGa26MzMTDg6OiI0NFSwzcHBATk5ObC2tkaHDh3g6+uL4OBg5mZVEEOGDMHKlSsBAGFhYShTpgy6du2K9PR0LFq0SBAK3MnJSXS8TCZjfaQSsqZKG2NjY515qt41Y8eOxebNm3H79m28evVKMulx/fr1i21tl4+PD7p27Yp9+/YhKSkJ9erVQ/369aFSqQQKVu/eveHp6Vks5ywIb29vWFpaIjMzE7t370ZcXJwg4fGmTZtYFEt1uH8Oh8PhcDicfxM8+t97jP6ni6ysLLi6uiIlJQVmZmaIjIxExYoVWf13333HovwNHToUGzduLFL7RISAgACBlcrS0hIKhUIUOMHU1BTR0dHw8PBg2/bs2YMePXoAyA+8cPTo0SJf47+dhIQEDBgwQLSuCwC6dOmCX375BaVKlSq287158wbt2rVjIfO1adSoEY4cOSIKXPKuGDVqFNauXQsgP9lyWFgYqlSpgoMHD2LZsmUswuTp06fRokWL99InDofD4XA4HEPhIdV1UBKVqoSEBCiVShgbG+Obb77BkiVLAOSHTB8/fjyqVKmCQ4cOITw8nFmILl26ZJBbW2pqKnr06IETJ06I6mQymSCXk7u7O6ZPn46aNWvi+PHjWLBgActvFRERgV69ehl6yf96bt68iYiICCQlJcHR0RF9+vRBjRo1iv08CQkJSEtLQ3h4OMLDw3H//n0A+VasMWPGYPTo0TA3Ny/28+ri5cuXaNCgAZ4/f65znyFDhmDjxo3cFfADovnM0c49x+EUBJcdjiFwueEYSkmQHa5U6aAkKlW3bt1Cbm4ujI2Ncf/+fYwePRrJyck69w8JCWGKlyEolUocOnQI69atw927d2FmZoYWLVrg008/hYuLCxo2bIhHjx7pPL5Tp044cOBAibDu/ddRy46JiQlq166N9PR0yGQyWFlZfbA+xcTEYMCAAbhw4YJgu4mJCcaNG4dvv/2WJ//9wGjLDYejL1x2OIbA5YZjKCVBdoqqO/AZzgfmxYsXmDZtGqKjo3XuY2dnh//9738ICwt7q3MZGxsjICAAAQEBkvWnT59G//79cfbsWcF2mUyGQYMGYfXq1VyhKqGoc419SDw9PXH+/HlcvnwZhw8fRlpaGtzd3dGvXz/JtXocDofD4XA4/xa4peoDKgmPHj1C69atWdJUKVxdXXHt2jW9AlIUF1euXMHevXuRkpICV1dX9O/f/70EPODoT3JyMlQqFYyMjGBvb/+hu8P5SOBywzEULjscQ+BywzGUkiA73FL1EfHzzz8zhapy5cpYuHAhGjRogHPnziEsLAyPHz/Gy5cvER4eLogG+K6pX78+6tev/97Oxyk6/J8TxxC43HAMhcsOxxC43HAM5WOUnf9r786joroOP4B/B2bY90UREHFDwmIwLQatsXqsilYDaKipO1XT4FLtsa6JQRSMCfWcGltPooZqCo2pa+pSFRFMYjVNGmOAKEHBoiAgi8giwjD39we/eWGYYRtkBvT7OccTc++d630zXy5c3nv38UyVkc5UCSHg6emJwsJCmJqa4ocffsCgQYOk+qysLGmDg6FDh7Z5eSARERERET05nV078AYZI3n48CEKCwsBAKNHj9ZYUAGAv78/RowYAQDIycmBUqk0+BiJiIiIiKh9XFQZiUKhkP5eXl6uUdfY2IgTJ04gOztbKtuyZQsKCgoMNj7q2ZRKJRoaGrjYpk5hbkhfzA7pg7khffXG7PDyPyNuVOHv74/vv/8eAHDixAlMmzYN5eXlCA8Px+eff67V3tzcHPv27cPcuXMNPVTqYXrCVqPU+zA3pC9mh/TB3JC+ekJ2ePlfL/KrX/1K+ntERAQWLVqEkJAQnQsqAHj8+DHmz5+Ps2fPGmqIRERERETUDi6qjGjOnDmYMGECgKbTnImJicjJydFoM2vWLOTn52PBggUAmja4eOuttww+VupZ7OzsYG9vDzs7O2MPhXoR5ob0xeyQPpgb0ldvzA4v/zPyw2wbGhqwadMm7N69W2N8VlZWWL16NWJiYmBqagqVSoWgoCBkZGQAaNod0M/Pz1jDJiIiIiJ6avHyv15GoVBg+/btKCgowJAhQ6TywsJCbNmyBaampgAAExMThIWFSfV5eXkGHysREREREWnjoqqHsLW1haenp/T/paWlWm1u374t/d3a2toQwyIiIiIionZwUdWDTJo0Sfr7xo0b0djYKP3/1atX8Y9//AMAYG9vj+DgYIOPj4iIiIiItPGeKiPeU5WbmwulUgm5XI5BgwahpKQEAwcORG1tLQBg2LBhePnll3Hnzh0cOXIEDQ0NAIA//OEPSEhIMNq4yfhaZoeoI5gb0hezQ/pgbkhfPSE7nV07yA0xKNKtqqpK2oMfAPr06YOPPvoIs2bNQmNjI7Kzs7UWT6NHj0ZsbKwxhks9SMvsEHUEc0P6YnZIH8wN6as3ZoeX/xlJWVkZEhMTMWvWLLz00kvw9vbGihUrEBAQgNTUVIwdO1ajvaOjI9auXYuUlBRYWVkZadRERERERNQSL/8zwuV/165dQ2hoKIqKirTq5HI5EhMTMW/ePNy6dQt5eXmwtLTECy+8AEtLS4OPlXqm5vfbqXeIJGoPc0P6YnZIH8wN6asnZKezawcuqgy8qKqoqIC/vz/u3bsnlQ0cOBAFBQWor68H0LR9+sWLFzFmzBiDjo2IiIiIiPicqh5v37590oJq5MiRyMnJQW5uLoqKirBo0SIATR/i22+/bcxhEhERERFRB/FMlYHPVAUFBeHatWsAgOzsbPj4+Eh1SqUSgwcPRn5+PmQyGUpKSuDi4mLQ8RERERERPet4pqqHKygoAAB4eXnB1dUVZWVlqKioANB0P9W4ceMAAEIIFBcXG2uY1MNVVFRoZIeoI5gb0hezQ/pgbkhfvTE73FLdwBwcHFBaWorCwkJcu3YNNjY2UCgUcHR0hBACGRkZUlt7e3sjjpR6svz8fGmrUUdHR2MPh3oJ5ob0xeyQPpgb0ldvzA7PVBlYWFgYgKZL/RISEqQH+goh8MEHH+Dq1asAgBdeeAEeHh5GGycREREREXUM76ky8D1Vubm58PPzw+PHjwEAbm5uGD16NG7evInvvvtOapeUlIQ5c+YYdGzUe5SWlkKlUsHExIT33VGHMTekL2aH9MHckL56Qna4pXoresqiCgAOHTqE2bNnQ6lU6qyPjo7G6tWr4eDgAGdnZwOPjoiIiIjo2caNKnqByMhIfPHFFwgPD9f4YPz8/DBy5Ejs2bMHQ4YMgYuLC8aMGYOjR48acbRERERERNQWnqkywpmq5iorK1FcXIzPPvsM0dHRrZ69WrduHbZv327g0RERERERPXt4pqqXsbe3h1wux/Lly6UFVd++fREZGQlfX1+p3TvvvIPDhw8ba5hERERERNQKbqluRNeuXUNDQwPee+89aeOK2bNnIzExEebm5hBCYOfOnfj9738PANixYwdeeeUVYw6Zegh1dhQKBZ5//nljD4d6CeaG9MXskD6YG9JXb8wOz1T1AGlpaQAAhUKBnTt3wtzcHAAgk8mwcuVKBAQEAACuXLmCoqIio42TiIiIiIi0GWRRlZ6eDplMpvPPlStXtNqfP38eo0aNgpWVFVxcXLBw4UKUlJRotWtoaEBsbCy8vb1hbm4OX19f7Nq1yxCH9ERYWVnB2tpaul7T09NTa9tImUymsUJ/8OCBQcdIPZM6O1ZWVsYeCvUizA3pi9khfTA3pK/emB2DXv63bds2jB8/XqNMfRZG7eLFi5gyZQp++ctf4tNPP0VJSQnWrVuHCRMm4Ouvv5bO4gDA0qVL8be//Q1bt25FcHAwzp49i5UrV6KqqgobN240yDF1xdChQwEAHh4eqKysxO3bt5GXl4eBAwdKbZRKJT7//HMATQusPn36GGWs1LOos0PUGcwN6YvZIX0wN6Sv3pgdgy6qhg4dipCQkDbbrFmzBj4+Pjh8+DDk8qbhDRw4ED/72c+QmJiI6OhoAEBWVhY+/PBDxMfHY82aNQCAcePGoaysDHFxcXj99dfh5OTUvQf0hMyePRtvvvkmhBCYN28ekpOTMWDAAFRWVmLNmjXIz88HAEyZMqXXHBMRERER0bOiR91TVVBQgK+++grz5s2TFlQAMHr0aPj4+ODYsWNS2fHjxyGEQFRUlEYfUVFRePToEc6cOWOwcXfVb3/7W7i6ugIALl26hEGDBsHX1xdubm7Yu3cvAMDExAQbNmww5jCJiIiIiEgHg56pWrZsGV599VVYWVlh1KhR2LRpE8aMGSPVZ2ZmAgCGDx+u9drhw4fj0qVLGm1dXV3h5uam1a55X23JysrCgAEDYGdnJ5U9fvwYN27cAAA4OjrCy8tL4zU5OTmora0FAK3dSEpLS1FQUAAA8PLygqOjo1TX2NgojcnW1haDBg2S6lxcXLB3715ERUWhoqICKpUK2dnZUr1cLkdMTAxsbW1x//59aQGm9t1330EIAUtLS/j4+GjU3blzB+Xl5QCAYcOGwcLCQqqrrq7GrVu3AAB9+vRBv379NF77/fffSzuv+Pn5adTdu3dPus9t8ODBsLGxkerq6uqk8Ts5OaF///4ar/3hhx/w6NEjyGQyrc/6/v37KCwsBAAMGDAADg4OUp1SqURWVhYAwM7OTuMySQDIzc2V7k8LCAiAqampVFdRUSGd8fPw8NC6d+3atWsAmq7hbXnKOT8/HxUVFQAAX19fjUtQHz58iLy8PABNW+G3zGNWVhaUSqV0z19zhYWFuH//PgBgyJAhsLa2lupqa2uRk5MDAHB2doanp6fGa7Ozs1FXVwdTU1OtS2hLSkpw7949AIC3tzfs7e2luvr6ely/fh1A03b+3t7eGq+9desWqqurAQCBgYEaz2IoKyvD3bt3ATTd/+fs7CzVqVQqZGRkAABsbGwwePBgjX5v376NyspKAMBzzz0HMzMzqU596SsA9OvXT+sS18zMTDQ2NsLCwgLDhg3TqLt79y7KysoANJ0Jb37tdU1NDW7evAkAcHV1hbu7u8Zrb9y4gcePH0Mul8Pf31+jrqioCMXFxQCazpQbe44AgLy8PDx8+BAA4O/vr/GLpwcPHuB///sfAMDd3Z1zBDhHcI5owjmiCeeIJpwjfsQ5oklbc4T667SjDLKosre3x8qVKzFu3Dg4Ozvj5s2bSEhIwLhx43Dq1ClMnjwZAKSD0nWJm5OTk1SvbqurnbW1NczMzDTatkapVKLls4+FEGhoaJDqdb1GXd+SSqWS6lQqlVZ9y37z8/OhVCohl8vh5+eHgwcP4ujRo0hNTcW9e/dgb2+P8PBwzJ07FwqFAg0NDWhsbNTZrxACCoVCq66xsVH6d1sea/PxttZva8favN+Wx9r8PdTVr/o9lMlkevfb3Z9Na/22lZfW3kOlUqnzQXFtfTbt9VtbW4vGxkad422rX/WY2hpvV99DXa9vPqaW2jvW+vp6qFQqjW9uuvrV57NRf+3o229PyWFHvpaFEBBCIDc3F3K5XPpBj3MEpL6epjlC/dnoqtNnjlB/v6quruYc0Yl+e0oOOzpHPOmfI+rq6qBSqdrNIeeI3j9HtOxXl87MEc1/Rvby8jLaHNEZnV5Upaena2020ZqrV68iKCgII0aMwIgRI6Tyl156CREREQgMDMTatWulRZWari8SXeWttWuvTk0ul+vsUz2pNP8tT/PX6Jp0gKZL9NR1usLfst+KigrpNzh2dnbo27cvoqOj8ec//7nV3zDpCoRCoYAQQud4TU1NpX+35bE2H29r/Tb/b2v9tjzW5u+hrn7V76Guz6ij/Xb3Z9Nav23lpbX3sHmb5tr6bNrrVz0Z6fqCb6tf9ZjaGm9X38P2jrWl9o7VzMwMjY2NT/w9VCgUUKlUnf666Yk57MjXshACSqUS5eXlUCgU0qKKcwSkvp6mOUKhUKCxsVFnnT5zhPr7VWtjBThH6Oq3p+Swo3PEk/45Qv09qr3vVZwjev8c0bzuScwRzX9G9vLyMtoc0Rky0cll2L1793Dq1KkOtZ0xY0abGytER0fj/fffR21tLSwtLXH27FmEhobi1KlTmDp1qkbbyMhIXLp0STql++tf/xqpqalaW63X1NTAxsYGGzZswLZt26RylUolndJVs7W11fmhGkpvfLAZ9QzMDumDuSF9MTukD+aG9NUTstPZtUOnz1T169cPixcv1m90LajXc+qVoPqazoyMDK1FVUZGhsY1n4GBgTh48CCKioo0rj9VX4/Z8vrQnsjX1xdCiE6vhImYHdIHc0P6YnZIH8wN6as3Zsdop2kqKipw8uRJBAUFSTc9enh4YOTIkUhKStK4JvLKlSvIzs7GjBkzpLKwsDDIZDIcOHBAo9/9+/fD0tISoaGhhjmQLjA3N4eFhYXGDYtEHcHskD6YG9IXs0P6YG5IX70xOwbZqGL27Nnw8vLCT3/6U7i4uCAnJwc7duxAcXEx9u/fr9H2nXfewcSJExEZGYmlS5eipKQE69evR0BAgMb26f7+/li0aBFiYmJgamqK4OBgnDt3Dnv27EFcXByf50RERERERAbR6Xuq9LF9+3Z88sknyMvLQ3V1NZycnDBmzBhs2LABwcHBWu1TUlLw1ltv4dtvv4WVlRWmTZuGhIQErS0SGxoaEB8fj7/+9a8oKiqCt7c3li9fjhUrVmj12RPvqSIiIiIiop6ns2sHgyyqeoLGxkZp33w1a2troy6qmn9Qtra2RhsH9T7MDumDuSF9MTukD+aG9NUTsqNSqVBTU6NRZmNjo3OHQeAZWlQplUqtN4aIiIiIiKgjrK2tdW6bDxhxowoiIiIiIqKnARdVREREREREXcBFFRERERERURc8M/dUqVQqqFQqjTKZTNarHipGRERERETdTwiBlsskExMT7v5HRERERETUHXj5HxERERERURdwUUVERERERNQFXFQZQXV1NVatWgV3d3dYWFggKCgIBw8eNPawyAguXLiA3/zmN/D19YW1tTU8PDwQFhaG//73v1ptv/nmG/ziF7+AjY0NHBwcMGPGDOTm5ursd9euXfD19YW5uTkGDhyI2NhYNDQ0dPfhkBHt27cPMpkMNjY2WnXMDrX0xRdfYOrUqXB0dISlpSWGDh2KrVu3arQ5f/48Ro0aBSsrK7i4uGDhwoUoKSnR6quhoQGxsbHw9vaGubk5fH19sWvXLkMdChnI1atXER4eDnd3d1hZWcHX1xdbtmxBbW2tRjvON8+uqqoqrF27FpMmTYKrqytkMhk2b96ss2135KSkpAQLFy6Ei4sLrKysMGrUKKSmpj7JQ2ybIIObOHGicHBwEO+//764cOGCWLx4sQAgkpOTjT00MrBXXnlFjB8/XuzevVukp6eLQ4cOiZCQECGXy0VqaqrU7vr168LW1la89NJL4tSpU+LIkSPC399fuLu7i5KSEo0+4+LihEwmExs2bBBpaWni3XffFWZmZmLJkiWGPjwykLt37wp7e3vh7u4urK2tNeqYHWopOTlZmJiYiFdffVX885//FBcuXBB79+4VsbGxUpv09HQhl8tFWFiYOHfunEhKShIeHh4iICBA1NXVafS3ePFiYW5uLt59912RlpYm1q9fL2QymYiPjzf0oVE3ycrKEhYWFuL5558Xn3zyiUhNTRUxMTHC1NRUvPzyy1I7zjfPtry8PGFvby/Gjh0r/WwbExOj1a47clJXVycCAgKEp6enSEpKEufOnRNhYWFCLpeL9PT07jxsCRdVBnbq1CkBQPz973/XKJ84caJwd3cXSqXSSCMjYyguLtYqq6qqEn379hUTJkyQyiIjI4WLi4uorKyUym7fvi0UCoVYu3atVFZaWiosLCzEa6+9ptFnfHy8kMlkIisrqxuOgoxt2rRpYvr06WLBggVaiypmh5q7e/eusLa2FtHR0W22Cw4OFn5+fqKhoUEqu3TpkgAgdu/eLZVlZmYKmUwmtm3bpvH6JUuWCEtLS1FWVvZkD4CM4o033hAAxM2bNzXKX3vtNQFAlJeXCyE43zzrVCqVUKlUQggh7t+/3+qiqjty8pe//EUAEP/+97+lsoaGBuHn5ydGjhz5pA6xTbz8z8COHTsGGxsbREZGapRHRUWhsLAQX375pZFGRsbQp08frTIbGxv4+fnhzp07AAClUomTJ09i5syZsLOzk9oNGDAA48ePx7Fjx6SyM2fOoK6uDlFRURp9RkVFQQiB48ePd9ORkLEkJSXh4sWL2L17t1Yds0Mt7du3DzU1NVi3bl2rbQoKCvDVV19h3rx5kMvlUvno0aPh4+OjkZvjx49DCKEzN48ePcKZM2ee/EHabxJUAAAHGklEQVSQwSkUCgCAvb29RrmDgwNMTExgZmbG+YY69Kii7srJsWPHMGzYMIwaNUoqk8vlmDt3Lv7zn/+goKCgq4fXLi6qDCwzMxPPPfecxjcqABg+fLhUT8+2yspKfPPNN/D39wcA3Lp1C48ePZIy0tzw4cNx8+ZN1NXVAfgxP4GBgRrt+vXrBxcXF+brKVNSUoJVq1Zh+/bt8PT01Kpndqilzz77DE5OTrhx4waCgoIgl8vRp08fvP7663j48CGAH7PQWm6aZyEzMxOurq5wc3PTate8L+rdFixYAAcHB0RHRyM3NxdVVVU4efIkPvjgAyxbtgzW1tacb6hDuisnmZmZrfYJAFlZWU/sGFrDRZWBlZWVwcnJSatcXVZWVmboIVEPs2zZMtTU1OCNN94A8GMmWsuNEAIVFRVSW3Nzc1hbW+tsy3w9XZYuXYphw4YhOjpaZz2zQy0VFBSgtrYWkZGRmDVrFs6fP481a9bgo48+wtSpUyGEaDc3zbPQ2vc0a2trmJmZMTdPCW9vb1y+fBmZmZkYPHgw7OzsMH36dCxYsAA7d+4EwPmGOqa7ctITfr6Wt9+EnrS2To22d9qUnm6bNm1CcnIydu3ahZ/85CcadR3NDfP1bDhy5AhOnDiBq1evtvu5MjukplKpUFdXh5iYGKxfvx4AMG7cOJiZmWHVqlUaO2W19pm3LGdunn63b9/G9OnT0bdvXxw+fBiurq748ssvERcXh+rqanz44YdSW8431BHdkRNjZ4pnqgzM2dlZ52q5vLwcgO6VOz0bYmNjERcXh/j4eCxfvlwqd3Z2BqD7tyzl5eWQyWRwcHCQ2tbV1Wltcatuy3w9Haqrq7Fs2TKsWLEC7u7uePDgAR48eID6+noAwIMHD1BTU8PskBZ1JiZPnqxRPmXKFABN2xy3l5vmWWjte1pNTQ3q6+uZm6fE+vXr8fDhQ5w9exYzZ87E2LFjsWbNGvzpT39CYmIiLl68yPmGOqS7ctITfr7mosrAAgMDcf36dSiVSo3yjIwMAEBAQIAxhkVGFhsbi82bN2Pz5s3YuHGjRt3gwYNhaWkpZaS5jIwMDBkyBBYWFgB+vO64ZduioiKUlpYyX0+J0tJSFBcXY8eOHXB0dJT+fPzxx6ipqYGjoyPmzJnD7JAWXfccAIAQAgBgYmIifdat5aZ5FgIDA3H//n0UFRVptQP4Pe1p8e2338LPz0/rMqzg4GAAkC4L5HxD7emunAQGBrbaJ2CYuYiLKgOLiIhAdXU1jhw5olF+4MABuLu748UXXzTSyMhYtm7dis2bN+PNN99ETEyMVr1cLsf06dNx9OhRVFVVSeX5+flIS0vDjBkzpLLQ0FBYWFhg//79Gn3s378fMpkM4eHh3XYcZDhubm5IS0vT+jN58mRYWFggLS0NcXFxzA5pmTlzJgDgX//6l0b56dOnAQAhISHw8PDAyJEjkZSUhMbGRqnNlStXkJ2drZGbsLAwyGQyHDhwQKO//fv3w9LSEqGhod11KGRA7u7uyMrKQnV1tUb55cuXAQCenp6cb6hDuisnERERuHHjhsYu2kqlEklJSXjxxRfh7u7efQelZpCN20nDxIkThaOjo9izZ4+4cOGCWLJkiQAgkpKSjD00MrA//vGPAoAIDQ0Vly9f1vqjdv36dWFjYyPGjh0rTp8+LY4ePSoCAgLafFDexo0bRXp6ukhISBDm5uZ8oOIzQNdzqpgdamn69OnC3NxcbN26VaSkpIi3335bWFhYiGnTpklt0tLShFwuFxERESIlJUUkJyeL/v37t/nw34SEBJGeni42btzIh/8+ZT799FMhk8lESEiI9PDf+Ph4YWNjI/z8/MTjx4+FEJxvSIjTp0+LQ4cOicTERAFAREZGikOHDolDhw6JmpoaIUT35KSurk74+/uL/v37i+TkZJGSkiIiIiL48N+nXVVVlfjd734n3NzchJmZmRg+fLj4+OOPjT0sMoKf//znAkCrf5r7+uuvxYQJE4SVlZWws7MT4eHhWg9iVNu5c6fw8fERZmZmwsvLS8TExIj6+npDHBIZka5FlRDMDmmqra0V69atE/379xdyuVx4eXmJDRs2aC2Wzp07J0JCQoSFhYVwcnIS8+fP1/nA8vr6ehETEyO8vLyEmZmZ8PHxEe+9956hDocM5MKFC2LSpEnCzc1NWFpaCh8fH7F69WpRWlqq0Y7zzbNtwIABrf5Mk5eXJ7XrjpwUFRWJ+fPnCycnJ2FhYSFCQkJESkpKdx2qFpkQ/38hNREREREREXUa76kiIiIiIiLqAi6qiIiIiIiIuoCLKiIiIiIioi7gooqIiIiIiKgLuKgiIiIiIiLqAi6qiIiIiIiIuoCLKiIiIiIioi7gooqIiIiIiKgLuKgiIiIiIiLqAi6qiIiIiIiIuoCLKiIiIiIioi74P9qJxnbxI3pWAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "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": 31, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "52b827dee62643e691cea34e185e6f5e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='start_pos', max=10, min=-10), FloatSlider(value=5.0, con…" ] }, "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": 32, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a40f61e5d01e44f58e9e72e2d9b58752", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='start_pos', max=10, min=-10), FloatSlider(value=5.0, con…" ] }, "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": 33, "metadata": {}, "outputs": [], "source": [ "#enter your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": 35, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(11.0, 7.0)" ] }, "execution_count": 35, "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": 36, "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." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "005ffd8fe4924006baf1c6dcd0f94eed": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.1.0", "model_name": "FloatSliderModel", "state": { "continuous_update": false, "description": "sensor_noise", "layout": "IPY_MODEL_3b9bb838c2204746b1f88b2b8d7da796", "step": 0.1, "style": "IPY_MODEL_cd75ab47767a4e289032dd1bd8c2b2be", "value": 5 } }, "01cdcc7c3fb3434aaaae26722436f698": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.1.0", 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KosiwQUKICmHnlZ3ojXoaVm8oN1P+jYvOhcfrPA7A1ktbVU4jhBD2xeJiPSQk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KosiwQUKICmHnlZ3ojXoaVm8oN1P+jYvOhcfrPA7A1ktbVU4jhBD2xeJiPSQk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\n", 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KosiwQUKICmHnlZ3ojXoaVm8oN1P+jYvOhcfrPA7A1ktbVU4jhBD2xeJiPSQk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\n", 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KosiwQUKICmHnlZ3ojXoaVm8oN1P+jYvOhcfrPA7A1ktbVU4jhBD2xeJiPSQk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