From e6868d91e22f88fcf21fb5bb93afc007383bb1a2 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Tue, 16 Sep 2014 19:00:40 -0700 Subject: [PATCH] Fix for probability text and covariance ellipses. Fixed some text that was confusing probability with the probability density, and made the 3 covariance ellipses all use the same axis scales so they can be directly compared to each other. --- .../Multivariate_Kalman_Filters.ipynb | 86 +++++++------------ 1 file changed, 33 insertions(+), 53 deletions(-) diff --git a/Chapter06_Multivariate_Kalman_Filter/Multivariate_Kalman_Filters.ipynb b/Chapter06_Multivariate_Kalman_Filter/Multivariate_Kalman_Filters.ipynb index e2461c9..aa863fa 100644 --- a/Chapter06_Multivariate_Kalman_Filter/Multivariate_Kalman_Filters.ipynb +++ b/Chapter06_Multivariate_Kalman_Filter/Multivariate_Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:8dd8877926c460a830c170bd1b1320400c48afa047d9fa4f200279e5f3c4a52d" + "signature": "sha256:a173822504e2e8404015e6d858158001601adf2d500c7a1c4d4494238bb8fd25" }, "nbformat": 3, "nbformat_minor": 0, @@ -257,13 +257,13 @@ ], "metadata": {}, "output_type": "pyout", - "prompt_number": 1, + "prompt_number": 3, "text": [ - "" + "" ] } ], - "prompt_number": 1 + "prompt_number": 3 }, { "cell_type": "heading", @@ -391,17 +391,17 @@ "output_type": "display_data", "png": 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jxZvwaMq6X8q8AsO/N+dxUtpfY3h3530sW61Fd57Iu08o9R38eIKk83aC3q05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TOeETkl7JwaoagGfC+2h7d2BdMjf3eJuDzPGLSGr7dO7PZRnP0KkoB3/EtuSDmHN3T1iAbcwQ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1gXLIh5v8KV1MaNsU2fjtamjZi6rynUg/Gsph9/xDV8OFitIh53y5boazZujD8/H/f//i+m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\niUQiabBIsSqRSCQSiUQiabD8P0gb9gu8w/VpAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 2 + "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here we have plotted a two dimensional multivariate Gaussian with a mean of $\\mu=[\\begin{smallmatrix}2\\\\17\\end{smallmatrix}]$ and a covariance of $\\Sigma=[\\begin{smallmatrix}8&0\\\\0&10\\end{smallmatrix}]$. The three dimensional shape shows the probability of for any value of (x,y) in the z-axis. I have projected just the variance for x and y onto the walls of the chart - you can see that they take on the normal Gaussian bell curve shape. You can also see that, as we might hope, that the curve for x is wider than the curve for y, which is explained by $\\sigma_x^2=10$ and $\\sigma_y^2=4$. Also, the highest point of the curve is centered over (2,17), the means for x and y. I hope this demystifies the equation for you. Any multivariate Gaussian will create this sort of shape. If we think of this as a the Gaussian for our dog's position in a two dimensional field, the z-value at each point of (x,y) indicates the probability of the dog being at that position. So, he has the highest probability of being at (2,17), a modest probability of being at (5,14), and a very low probability of being at (10,10).\n", + "Here we have plotted a two dimensional multivariate Gaussian with a mean of $\\mu=[\\begin{smallmatrix}2\\\\17\\end{smallmatrix}]$ and a covariance of $\\Sigma=[\\begin{smallmatrix}8&0\\\\0&10\\end{smallmatrix}]$. The three dimensional shape shows the probability of for any value of (x,y) in the z-axis. I have projected just the variance for x and y onto the walls of the chart - you can see that they take on the normal Gaussian bell curve shape. You can also see that, as we might hope, that the curve for x is wider than the curve for y, which is explained by $\\sigma_x^2=10$ and $\\sigma_y^2=4$. Also, the highest point of the curve is centered over (2,17), the means for x and y. I hope this demystifies the equation for you. Any multivariate Gaussian will create this sort of shape. If we think of this as a the Gaussian for our dog's position in a two dimensional field, the z-value at each point of (x,y) is the probability density forthe dog being at that position. So, he has the highest probability of being near (2,17), a modest probability of being near (5,14), and a very low probability of being near (10,10).\n", "\n", "We will discuss the mathematical description of covariances in the Kalman Filter math chapter. For this chapter we just need to understand the following.\n", "\n", @@ -443,7 +443,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 3 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -451,7 +451,7 @@ "source": [ "Let's use it to compute a few values just to make sure we know how to call and use the function, and then move on to more interesting things.\n", "\n", - "First, let's find the probability for our dog being at (2.5, 7.3) if we believe he is at (2,7) with a variance of 8 for $x$ and a variance of 10 for $y$.\n", + "First, let's find the probability density for our dog being at (2.5, 7.3) if we believe he is at (2,7) with a variance of 8 for $x$ and a variance of 10 for $y$.\n", "\n", "Start by setting $x$ to (2.5,7.3):" ] @@ -465,7 +465,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 4 + "prompt_number": 6 }, { "cell_type": "markdown", @@ -483,7 +483,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 5 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -502,7 +502,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 6 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -528,42 +528,15 @@ ] } ], - "prompt_number": 7 + "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "> Note that the function can accept lists, np.array, or np.matrix as arguments, or even scalars. Type `multivariate_gaussian?` in a cell and press ctrl-enter to get the help for this function. \n", - "\n", - "Let's check the probability for the dog being at exactly (2,7)" + "> Note that the function can accept lists, np.array, or np.matrix as arguments, or even scalars. Type `multivariate_gaussian?` in a cell and press ctrl-enter to get the help for this function. \n" ] }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import print_function\n", - "import numpy as np\n", - "\n", - "x = np.array([2,7]) # using array to show we can use lists and arrays\n", - "prob = multivariate_gaussian(x,mu,P) * 100.\n", - "\n", - "print(\"Probability dog is at (2,7) is {:.3}%\".format(prob))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Probability dog is at (2,7) is 1.78%\n" - ] - } - ], - "prompt_number": 8 - }, { "cell_type": "markdown", "metadata": {}, @@ -586,17 +559,17 @@ "output_type": "display_data", "png": 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8s9XupnuilkJQP1FGmmEe7fkpiUDWdTF8DYQPnoNKW8bsqa2diaH8NfvzUGqz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\nJuE2r2K6PTg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fIdysNY5xw9B27xIq9RdaEXmqEfqyxdjXr8UCwi3aEHq1I2RmIoWCyFeu\nImVcRflpD2aFipilSkM4jG3JYtQv/pkbHpCSQvSBB4XNVeHCWAULYjmcIjZ18iTUXbtyPgdLkgT1\n6u66YmqVkoJZooSYWhkGzh490HbtIlFZsky4VSvCLVqgHD4seKzZMacXL4ro1q++Qj16VDhb9OmD\ncddd2JYsEUECXKPqv8arNVa0qLDxczhQNm5E//RTQQdIRJt6+GGCPXqITqrLlfA8E9WePXuYOHEi\nHo+Hbt26kZ6e/oe3vVn/u7oJVv9ipapqfLTp/3WFMynw0WMo0V/yglQDYvayZNZfgVmoPJZlYWSN\nZlVV/cMgWrpyBfXgQexLl6Lu2ZNrd1K4cE63Uj5/HunqVYzbb0fdtw/H5MkJo0sBzKJFRaY1wt7E\nLFxYgFi7HcnrFfnPmzYh7d5N9OWXiTz1FOqOHTimTYvjo5pJSSJJ5dlnMerXRz5+XABPQD5/Ppes\nf0QYgJspKQLM6roAltuvs4gqUECM3O65h3Dr1ihHjohIVEVFUhS4cAF1/z7U3btRdu3CqFuPUNeu\n6Ovex/bOOwm7h9GadxAcMhjb0qXY1qxOeE38o0ZiFSiI641eSH4/liQJFW/WP8GOnTDT03EOGwKR\nMBgGkpEFZA0D34zZaN9uxr5kUdy+jbLpBMZMwNP2xYQUCO+8xdjnz0TbvjV+22rVCb3SHnfPxPGj\nmQtW4BzaB/V0vEDItNvxz1iE59XEIMaofCvhJi/iGpnYbsq4tSaRJxrinDgk4XLT4cQ/egae7m0S\nLgfIfHsF7v6vI1+5lHC5SBhbiqdjvMrcqFiFUPOXMcumYxUoiH3JW+ibPs3Toc2zn5EL8fRule+5\nAHjfWoWr7yvI3vwBLYB31lpcnVviHz0DOZiBY/qbCUGwd8xSXD1figOVce+l8u2Emr6Kc3gvfFPe\nQd/2T+xrEtMyonUeIFLnEVwTE9uEBV9sT6zqrbjGdhFepkPm4Rw7APm3xEJFEClDvrELsH28GMmX\nSeiZ1/C8kVioBxCpcx+hV7rh7vJcDnALtuqGpTpwTs3lqIaebUH0/kdw9Wqdr62Vd9JinOPewPIU\nINihL/on67CvXCz22aYjRu26uDq3yjuGdrnxj56OsuNbHIvn5LxulCpLYOhEbCvewfbZB2Jdu4PA\nG0OIpRZDf38VsRq1MCtVEalXgOVJRvv0I7Ss8I7IM00wqlVD/u03HONG56jpzdRUwg2fuSZYYCe2\n2bOI3vcA0ebNIRBA/+xTpLPnMB55hFjJklhuN1JGJtrn/0D/6CPkQEDw/QcNxrzlFtTPP8f20YcY\nVapg1LuHWOlSWC63mP6cOYO2cSOxpCSMhg1Fw+A6mlQOnaBaNaJ33YXx1FNIly5hKQryhQvCnP+6\nwAHI6qSOH49y8SKOkSORAgEheM32as0WZ2ka8uXLGMWKEa1SBfNfwCI///wzEyZMQFVVunfvTsWK\nFf/wtjfrf183wepfrP6TYFW++CMFPm+EpPmQsu1cs0BqpOCjeB9fCEpezmw0awz/R8CqcuEC8i+/\n4BowIM4gP7tMVSU4aBDmbbehbt6ckwSVI4LyetF+/BFt40ZMXSfcqxfSr7+K1JQjR/LsywKsQoWI\n1qxJMGtkJfn9Io3EsoR/4DffoG7ejJz1RQ83akS4VSvUvXuxT56ca3kiyyKRqmpVjFq1MGrWxCpe\nXBj1h8Moe/agbt+OtnlzHqcCMy0N//jxSIEA9jFjUI/mCmUsRcFMS8NMTyfSqBHGXXcKgZckC4Cs\na+DzC4rEvn1IBw8Q7NoN9dfzOIcOSdg1jpUqhX/6DGwL52P7YH3cchPwz1+E+sP32KdPjetemoBv\n2Ups7y7B9ml8HrxZLA3fjFl42rRIyOkM9HoDKeMqjgWzEx7bt/pDPK2fjxv9A0Tur49R7z6c4+Nj\nOAG8k2bjmD8D9efEwpzMRWtxd22dL3Dzzl+Du3v+XFTfsCnYVr+TMJwAwCyQQqDfaNxv5G/yH+g6\nEHXnd+hbEnP3AHxvjkP/dD1m+UpEHnsKKZCJvvFj9K8/yun4hp5vh3T+PLYv4j/DnPOxOwm8ORX3\nDUAaCCW/WaIsjkVi5GyUq0TgzbFoO7/Cvmx6jtuCWbQE/k4j8fRpfcP9AXjHv4OrT7ucjlbw1R7E\nqlbFNbprXLc4c+Iq3J3iu6p5zvH/sfeeUVKU39r3r0JX52FIM+ScoyIgyh8wY46AIFFykiA558wI\nShJQsogiKqgIigRBgohKUBCQnDMznbu66vlkXUcaAAAgAElEQVRwz/Qwdjfqec77HM562Wu5XGu6\n+q7q6qbqqr2vUP9JQo1bYvtoFoGnWuEemvgcZ5WpKHjHz0cvVJSklg3/FmCH762Dv+tAXD1eJvRc\nc/Sy9+Aa1Sdmu1C9xwi07oqra6O4axrJechY8CXShfO42jeO2SZc/T78/UbhHNAF5Wy2DZMJ+Dv1\nRq9yL64ebaLvM2UZf++hRMpXRvlxB0aFSphOF6bVBroBioyzZ1eUixcwJYnQk88QatIMQmEco4dF\nwaleugzBNu0Ej/XECRxTJiFfuSyuk23bE37+RQEMM3UPli1bsC5bGmttV6AA4QcfJNjkVcwiRSEc\nRrp+HevSJVjWr0eO4ydqyDK+SZMxKlZE/vNPwUd1OpFUFenECZEAuGkTcnq6CF8ZO5ZImTLY5s/H\n8u23QjiWnCxU/bVqYVSogJGUJFxckpLA4cA2dy7aZ5/FOMFEz3u9evj69SNUsSKG+59bJB4+fJi0\ntDR0Xad3795UrFjxH7/3bt05dRes3mGlKAqKovy3rqn9Ohv3/tFgiwjhFGAGAF3GU3kQwftibYey\n6u/AalTVv3kzlm3bsr32nE4xTgoEUPbtQ/ntNwKvvopsmtjeew9169b43NG8eQWYrVRJdD2zvPZM\nE+WPPwRJf+tWZL8fvXRp/KNHQyCAbdYsLD/fotjNJOrrNWqIzm69esg3bgjV68GDIkP6lg5qVoUe\nfpjAG2+gHDmCPZMzZdpsYlxWtSp69erCu69gQci8yCo7dqCtX4+6fXvMjUGvXh3fiBGoB/ZjnzIl\nR/ShCZjJyUSKFCEwajSmYSCfO5vZfbZiahZQLUiyDDeuC/umEsVxTJyAvO9X5JMncyZ05U/B894C\n7JPGY9kRmwglVP+fYJ8yHsuu2K6okSsZz6JluNq3Qr4em9oUavAIoedfwNU/Pt8z45152JYvxPJj\nrMjNADwr1uBu80pcHrKRPxXf0HG4escHZnqlqgRfboZz/OD4rxcrSbBtN5yjE4x4Ae/cj3B3TuxT\nmjFpLva5aajHEo+8M+avwtU+Pn80az+euR+T1DHbPsqQZUIvNyf89Avg96BtW0fwqVdxd08sAgPw\n9pmAtu4zLHtjfXhvrfS5n+Hu0jSmgxt4tjGhxs2xfTADbdd3ePtMwbbwnbghC7eWXroC/tZv4h7Q\nMeffy1TAN3wK9tkjsfwmxsPhmvUJ1WmIc0pi2kT0/eWq4J38HraRPbD+zWfKKu+QaUSS8qCcO4Fz\n2t9zZ8NV7sM3YDzShXMk3aaDrleqjm/AeFw9miJ7b3FUKFwc38h3sE2bQPj5xhAOxe3kG0m58E5+\nF8tXn2L7Iuf0I3xPTfx9RuIY3Z9ImfKEH30KI3de5NOnMQoWQj58CMfY4dHOrl6uAoGe/TBkFdfg\nvlFHjkjhIgS69SRSqjTayo+wrRScdMF3fQn/gCFI6emYyclY338P2/vvRd0/TJuN8AMPEH7yaYyC\nhcBqRdn9I9ryDwg1ew29Th3UX/dimz1LRLwWLYpep46ww8qbVwBRjwdl5070atWQ8uRBW7wY7euv\nc9KkFEWEBdx3H+HatdHr1UO6ehVUNUq3smzalMPbFTI9qydPRrlwAfvkyZhOZzSR0MifXwhfbTah\nFzh4kHC9eoQrVSLyL7DH8ePHSUtLIyMjg969e1O1atV//N67defVXbB6h9V/G1g1DNxrX0S7sQPs\nwn4SwPSDYbq5+egqjIL3/u0yuq5jmiaKouTo+Eo3b6IcOoR96VK0Tz5JeNMNNm5MoEMHlMOHRXRo\nFikeROdz2zbULVtAVfGNH4+ZPz/aRx8JXtOtYza7XYyFatYk9OqrAgh7vUIleuyYSD7ZvDkHlcDI\nmxfvhAngdGJdtAjLt9+CJGV3UGvWxChWTMSrFhFCJykYFNGuGzfG50nVqUOgf38BZqdMQQoGiZQo\nQaRqVfSqVYVHq8MhEl5cLkEfmDsXy3cb4pph+zt0IPzUU9hmz0bbsCHuOQzVqUNg6DC0jz9CPncW\no0hREWqQP3/UecAoWUrwTz0eQTqWZaSAHzIykG5ch/QM9BdexPrxcpS9e4UI4sY1Aa7T08Fmw7Ni\nFc5uHVDOx3pkGqkF8E6biev1pjGpVwDBR58gUrc+jrFD434Gz6hJaN9vQNscm+QFkP7eClzD30S+\nEN+fM33hKly9Xk/YVU2fuwLX0DeQr8bPhPd1fhPlz8NYN8R2kyFzLP/OUtzdm8d9HSDwSguQFWwf\nL064je+NQSgHfsW68ev4+wECnXsTfuwZlLMnsH62BHV3fNFfxoyVuLo0TgiMAfSK1Qk1fAXH1OFx\nXzcA35CJmIULYTqSSOr8Ytztcux34gKcw3rFpREYsoznrYWoxw9gXzCFjLSPcHVv9rddT4DAK60x\nnLkxSldAPnccx7zEPFyAUN1HCT30HK6hvQg0bkX4sSdx9mpx233pZSvj6z8BkHCM6XPbB49IwcJ4\nJ87FOaQTyoWzBB9/geArbXB1aYnsy5zEPNeI4CvNcXXL/ltWmZKEv88IjOTcuIZmP8CFq91HoPOb\nGMl5IGLgav4Syq2isEeeINCuM5aN32B/LztkQy9WnEDvgRi5knEO7R+9XpgWC4FWbQm2aiuEjDdu\nYPlxF9aVHyMfOYxRugzBJq8SqVARrFYs69ehLVuaQ4gWrt8A/6AhSFeugGlg2uxIly9lR7b+5QFS\nL1kS35QpSBkelDNnROyqyyU6qceOoW3ciLppE3IwKGKn09IE73/6dCx79ggQm+WDXbOm8Hh1OsX1\nPzkZSZZx9OuHumNHwt93+IEH8I0aRbhECSJJSQm/x7/WqVOnmDZtGpcvX6Znz57UqFHjH7/3bt25\ndRes3mH1fx25mn6K3F88jixdQ7Jl/s0QnVTdXoGbz28Ayz8zSIZssCrLsji2M2dQ9+5F3bMHo1w5\n4YNqt4vYvqNHsWzdirJ9O4Hu3YWX6aZN2N57L4b7aNpsQiHapAnhJ5/M5o6aplCZ7tghnsgzDfgN\nWcY/eLBYc8MGYUYdDIqLYrFi6NWqCV/V1FSMYsXAbsd0OrF88w3WDz9E3r8/hqNmWK34Ro/GLFEC\nbdUqLOvWiS5BFk8qKUmIBiwWMAwiRYpg+eknHIMGxR2VAYQeeIBAv36ov/2GbdYszNy50StUEIKx\nAgUE3cFqFeKx5GTk8+exzXgHdffuKFUhenxJSXjnvIt84gSOsaPjW2glJeGZ/z6WnTuwvT0t2wIG\nwOnCTEoi+MKLhJ94Atv8eZhOB6Y7CdPtwnS5BQ0jJRWjZCmUPw6KBwpJFj6RsjDYN202zJQU5PPn\nBRAG8fQjgYmE6bCDOwnpymUkE8ysu0/mE5LpcosHgWtXEXcmKcf/DacbyWEXr5smUjiEGQpn+p4G\nMRx2zCLF0b5YKdwGLl9CunQB+eJ5ZJ8HI29+fANG4xqYOFs+/f1Pcbd/OeGN0dtrOJbd29B+2Hib\nNW5viRXdT9vE+wERMevs2wn8Pvzd+hKpdi/KsUPYl8+OCr9CDzxCpEwV7Avfuc1KkDFrJc5+7RMK\nzrLqZtoCyJ0H9eRhHDNGI/niX/j1YqXxdx6Cu0/b264XaNSK0PONkc6cwj08Pj/51jKdbjKmLSOp\n1Qvi/c3bE2rwmDDkj/PwYzrdZEz/AFeL7MhUvcq9+AaOxTWwfYzFFICROy+etMW4Wr2IpFnxTJqD\nun0j9pWLEh6XkSsZT9pCpCvnkbx+XMNjaQORIsXwjnsH2+ypaD9ui3k99NjTBFp2Qtm4HuM/Dwmr\nqfEjkH0+wrUfwN+jH9pXq7Etz37IMYFQk+YEX2yMddlCrF9l00GMlFR8bw4iUrYcpAvvVfniBbS1\nX6GcPEGwWQv08uWRbtzAPi0N9XA2IDftdkKPPkb4yaeJFCoMdhuoFixffYnt/feijiAmYBQpQrj+\nQ+h17sfMnQfTZkW6cYNI0WKoe/fimDo1JgDFVFWMMmUI338/4QYNhG2gxyMmaDt3om3ejLJ9e8wD\nhV6uHP5x45BPnsQ2bx6RYsXQa9fGKFo0ewoXCqH89hvy4cOEWrQgVLkykX8x7j979ixvv/02p06d\nomfPntSuXfsfv/du3fl1F6zeYfVfBavavrm4fx0hRv2Zbzd1ICDhL9kOX70Jt31/otJ1HUIhrMeP\no23ejH369Lg+n6bViv7gg/hGjhTdTb9feOxlKvmjnc/z4iYTaN2a0Isvov76K7Z33omOz6NP5NWr\nC4uS0qUxihcXo2OPB+2LLwSIPXQoBnwGWrYk9PLLqL/8gu3tt0HT0CtWJFKrlggHyIwBNGUZcucG\nRcE+bBja1viG57eqWC3r16OcOCGMsIsWzY4UzDSxljIyCD/4IJadO0XIgS+WswkQfOYZgh06YNm0\nCesnnwj/2CpVRCRgcjLYbBg2K6SkYrpcWDZvwrJxI+qvvwol/i3lb/M6+lNPYR/QDzWO04IB+N6Z\niXTzBo6Rw+MmRYUerEugVx9cXdpH+bs51ihQEM/c+Tg7d0C5EAcg5ErGs3gZrnYtYygQ0dffX4K7\nVdO4PFbD5cKz4APcrZtEHz7QrCIMQbNi2O34ps/BMXIwhtOJmS8/Rt58mLnzYmam6uj31kK+dA7J\n5xXd5VAQKeMm8rkzKKeOoZcsh2RRsc1NSwgiM+Z/gqtDo4Svh2o+iH5/fRwzJybYAgItOiJlpGP9\nPH4ELIBeuhzB5h1wjuyX8+8lyuDvMxhsdiw/fEvokWdx92p5WzcBI39BfN0G4xr6NyEAybnxDZmK\nq3c79IpV8Q0ag2X7t9iWz4n5TXjGv4djdL+YRKe/lilJpM//DOnSRWTPdRyTB8YVLGWVd/h0rIvm\noR7ONvzXy1XGN2wijkn9Uf88mPM4xs7FNjsN9c+cnVEjOQ/eqXOxfjAHbXv2g4Vp0ciYuQJX3y7I\nlwXAMgF/j4FEipXAObBzfEGVxYJn0jxMzYFy/A+cE+N3qE2LBd/wyeDNwDkpexuRlPQawZeaQTCI\nsm8v9iljcuzLlCQCrdoTbvgMjnEjUA9ke8iaqkqgQ3fC9R7C+tZEzDLlCD/5LPgDqHt+Egb+99yL\nfPIEjgnjkG9mX3sjxYoRbPU6kfIVwePBPv0t5D+PEujZG732/SgnTqB9/BF6jfvQa9TAzJULyZOB\n9vnnIjgli8usKPgHDCJSowaW77dAWBdWgElJYLMJe6tvv0XdsAE5EECvUAHf6NHIFy/imDgR+exZ\nMcYvXx79/vuJVKqEmdnEMFUVMzUV+cIFnF26oFyKdQ/JqtATT+AbNQo9X75/BVIvXrzIO++8w+HD\nh3njjTeoW7fuP37v3frfU3fB6h1W/zZy1f3F82g3/zLqD4Kp27nx8AqMIg/+14/l+nXUQ4eE/Uiu\nXNlqzL+Az9CjjxLo2lXYo6SloZzJ9ik0ZVmAz2rVCNetKxT4Fy9iOhzIx4+j7t4dF3yG/vMfAr17\no5w9izUtDeXkScwCBYRK9f77MYoXF11Bp1MQ9HPnxvLtt9hHjow7vs+x5unTWD/8UADZTKUpWb6D\n584h//wzep06SElJWBcvxrJuXUIQ4+/cmfCzz6Lu2oXpcERpAGYmpUA+dAjLzp1EnE7Cr78uFLSz\nZkW5ZTHrZZpl2+a+i7p/P0bhIujly2OULyfcFGx2jLx5IFey4IXt/RX52J+oBw+h/LYf6fRpZLJA\n5jxsM99B2xB/9O7v1IVI9eo4e70Rl0eqlyyJL+1tXB3axAeyDgeeD1fi7NI+PpCVJDyrvsDZvWNc\nagFA+orPcAzshXoqvq1Zxqz3sC2ah+Wn+BzHwAuNMEqVxjE950jZSEomUq48kTLlCLZog3T2DLhc\nAswG/SIE4tQxlIP7iJSpgOT3YVsR6wcaPc75q3D3aCUAcYLKWPA5rrYvJYyfBMh47xOcb3ZAvpEY\nDPrbdCH0fCOUPw9hWzID9Wh8K6r0tMU4Jw5BOX8m7uvR7aYvwTFxGOqZ7HMcePFVQi83w/bBLLQf\nxO9DL1QMX+9xJPVoedv1APzNOyL5g9hWLCb4+DMEW3fKBJ2xx6pXqIa/VQ/cb8bykU2HE+/4GSgH\nfsL+gYilDT75CnqZajinxOeomoqCb+RUpGuXcMyeILxUJ72HdfE8LD/H/k5C9R4l0LEnrt6tc5x3\n0+HEk7YA6+zpaLt3EHzuZYJNW+Pq2xn5UvxgheCLTQm+0ARXtxZEKlbB322AMPefKzrgwaefJ9iy\nHbbZ02O8i02HE9+A4RiFi+Ds3Q05/Ubm532WYIu2SP4ARr58wilk/pwc18NwtXsItm2PUbAQ2her\n0ZYuzrarAoJduhNq9CrStWuYLifWFR+iLf8g5lpopKYSevQx9Lr/IVK4CKbbDU4n9ilT0FZ+HHOd\ny7K3Cj/wIKEmTcS1VteRrl7Fsn07lvXrUQ/F+c7vuw/fkCEoBw+iff65eMivVAnD7RbTqlsmcXi9\nBHr3JlSp0r8a91++fJlZs2axb98+unfvTv369f/fe5Tfpvbv38+GDRs4e/YsNWrU4LXXhIPI119/\nzbfffhu9z7tcLoYNi++kcbey6y5YvcPqH4HVa0fJ/fVTyNKN6KjfNAE/6Fppbr64GTTb7Va4bSmn\nT6Pu3Ys9LS1G1Z8FPsP33EPgzTfF6DoohB3S5cvCb3TTJuTDh7PHd+XLC4Npvx/r7NmC0wQCfFaq\nJMZBJUpguFzZ3FG/H8fYsSibN8flqOnFi+MfNw7CYWzz50MohF6rlniqd7uj1ATp2DFkSUKvUAFt\n61Zss2cLrmuc0suUwZeWhnztmkiBKVgwOraXAoGo7Yr8888EBg4kUr061k8+EVnWcY7RdLvx9+yJ\n3qAB8pEjQqVrt2cnZh06hLprF+rOnYSefZZQs2ZYP1yO9nHsTQMyYzdnzhJJVcOGIaWni7CBQoWI\nlCmLUbo0Rkp+0Ym5fh0CfpAkJF1HunxZhA0cPYJy5DC+zl1Rz5zBPnVS3H2Fq1TFP3wk7nZt4qrr\nDVXF88lqHL27oZ48Efd8Ziz+ENvMt7D8tDvu655xU7D8uB3rF5/FfT34zPNEqt2LY2J89wDD4cAz\nfynulo0SAkTPlJlon65A25FzfGvIMkalqoRr1ibYpDnytSsQDiL5vChnTqD++APqwX3IN6+jFy1J\nsE1i8RZA4OmXMfOmYF/ybsJt9HKVCDZpjXP0gITbAKS/vwpX7w5gmvgGj8FMScGyZR3Wz5chhTPj\nc202vGPexd27zW3XMlIL4XtjKK6BXWNfA/yDxmKULIn97REE2vXBMWXkbS2lABGN+s4yklrdkj7l\ndOEdMRmCPhwT+kb/7ZtAxpxVuDo1i0lu45ZtAu17ot9bE8f43ngnvB+lC9yuAi06EH6gPvLJo8gn\nT2JfsSjhtpHUgngnzsb23ltou7ZiJOfBk7YAx4j+qEezu7dG3nx4J7yNumNrwu8yXPVevFPeRbp0\nCXeLl2LjTDUNf6+B6JWq4OrbLSbCWC9aHN+EaRhJychXLqNtWI/1oxVIfh+mohB6sRGhF16Emzdx\njhyW4/2mxULo2RcIPfcChsuNKSso6TfR1n2N9ukqpEAA0+kk9PCjhBs2xMiXD8nnxbp8edSPNfDS\ny4Sat0A5dkyM5IsWFb6shUXMq+T1YtmwAe2LNcjp6QRee41Qo8aoO3ZgnzkTyefDyJ2bSJUqhOvW\nxShZMnvSFAxiFC2Kuns3zuHDcwhKc5wjq5Vg8+YEevUi7HD8Kwuqa9euMWfOHH788Ue6dOnCY489\ndkeB1Kw6evQoPp+Pw4cPEwqFomB13bp1XLlyhRYtbp+8drdy1l2wegdWoshVbc903L9PAKsRM+r3\nlWyH/7846odsVb9y6pTgjlosSFeuCPD53XdRSyajYEG848aBpomuY6YtiQmYBQsK8Hn//YJHWrGi\nAHFOJ5b167GsWYOyZ08M+DSSk4UQKjkZ7cMPsXz/vbA4qV2bSMWK2eATkNLTiZQqhbJ/P86JE6O0\ngr+W4XDgmzQJs2BB1K1bMQoXFipXh0OkUl28iOXHH1E3bcIoXZpAZhqWPQ5PK+sYwzVq4B81CuXi\nRfD5BOhUFKTTp7Hs2oVlyxbk8+dFp6NrV8KPP47lq6+wLVwYw3PM8mf1d+2KUbo08unToKpizXAY\n+c8/Uff8JFKzLl7E168/es2aOMaORd0f39pJr1wF3/hxWD/6CO3D5dnm33a7EDikpBJ+oA6hVxqj\n7N8nAgYyY2FNi0V4tJomYGKUKIl1ySKUP48inzyOfOJEFGyIjulqHMMGoh6Mn+PumTgVy88/YV0Z\nfyQebPg0+n/q4RwR3zPVyJWMZ/b7uFs1jvsgAJC+cAWOsUNRjx2Nfz4qVSXQpgOu/j3ivg7gmfQ2\n2upP0LZnU0H00mUJP9KQcM3a4LBhpBRAPXYYy9rPsPz0Q45RbPRYFnyGu0PjuOKzrMqYf/tAA4BQ\n7bro9R7DMTknQA+80JhQo2Yo509hXfQOgTY9sH6c2IYrelyzVuAa2jM6Go9XhsNFxuylkJQL58BO\nUWP7ROUdloZ1+SLUg/tjj//hhgTadccxdRDq4QP4X+sEvhD2FYmTvLIqXL0mvtHTsL81Gm1L/GnA\nX8vXZwThuo/iGN4Ly/6fb7utabHgHZmGGfRjlq+Cq3vbuOfFBALtuhKu+xCunq8j39JNz4pTdfTr\nQbjhM4QffgzH6MGofxyMWcdILYh3xASkyxdxjBiADIRqP0igex+UkyexfPM1wabNMWUZ5/DBKGdz\ndsj1MmUJdO2BUagw1vnvYt3wDUauZHyDhmIUKy4M/n0+9PtqgsMhvFOXLI6Nc04tIOKrW7RCSk8H\nRcH21ltYvvwivnVX/vyE6tYl0H8A8o3rmIqKfP48lm3b0L76Cvlc7JQk+OyzBNu1Q925UyQK1q4t\nRFlOp/BovXABdft2tI0biZQuja9fP8IVK/6rTurNmzeZO3cuW7dupWPHjjz11FN3JEj9a61du5Yb\nN27k6KxevXr1Llj9l3UXrN6BlQOshkMkffUsloxfwPGXUX/EwbWHP4LCdf7L+8oa9ds++CCHqt8E\nzEKF0KtUQa9dm3C9epDJ0ZSuXsWybZugAfzyS45xlaFp+EeOxChbFsvXX2NduhTT4SBSoYLgM5Uv\nnx2vqmmYefMiBYM4+vbF8uuvcY/RkOVs7ujmzUjXrxOpXh0jd25wOEBVkTKpCRw/TqhnTyS/H+uM\nGXHXNCWJSOHC+EeNwixaFPnMGXEsNpvoeO7dK4yrM4G1Xro0vrFjkTMysE2bhnow+8ZkqqqgOVSt\nSrhmTfQnnkC+elXkdV+8mJ2WtXNnDsVt4LXXCDVpgmXdOiFAuwXkmC4XkeLFiVSpQqBNG2Fddf0a\nyIoAxxcuoBzYj2X3buS9gv/mnTMH2ePFMXxowm6Gb/BQjNKlcPR5My7vGMAz9S0kDKyLFmLkzYdR\nNNN5IDVVgF6nC7NECaRLl8A0QFEEheDaNeTLl1DOnEIvXRYcDhyD+sQVzxgpqXinzcLVukliIPrB\nKpz9e6Cci580FWjUDKNQIRwzEsRnkmmV1bZZwtG9Xq4CgU5vJAwwAAg+8TSRe2pge3cmoedfJvzQ\nI5iaBcmbgfrHb1g2r8fIXwC9ek0csyYnXEevUIXgS4kDDbIqffHnuNs1TZjAZaQWxDN0LGapstgW\nzURbuyqh4EsvVZZg8844R8SKhmL3uwZX7074ew7ASE3BOap33A6rXqIM/p4jcHdLTBUwHU68wyZi\nqhKR1MIkt3npb/cP4O/0JqY/iFmqDIbDjnNg19sq/8P31ibQoReu7u3wDRuHYbfjHNTt9m4BJcvg\nnTIXyeMViVMn/ky8bfGS+EanYf3wfbQfNuMdmYZ07SrOUdk2XabbjW/waCJ58uLq0zWaVHVrheo/\ngm/AMJBVtLVfYH93Vo7fpFGoMP5efYkUKYZtxjS07TmnAKbdgeft2SJswunEPn4c1tU5pxGmzSaE\nVc88i5EvP/KfR7HPmIGZkoJvwEDkmzexvjsH9eefMQsXJvTIo+gPPCAiqhUFy/btWD/6CDwefBMn\nYubJi3XhgmyP1Hz50O+9l3C9+mLi5HaJyVWGB6NkSSyff459zpy49CZTkjCKFCHYuTPBxo2JyPK/\nsqDyeDzMnz+f7777jrZt2/Lcc8/9fx+c899YX331FTdv3szRWd28eTOKopCcnMzTTz9N5cqV/4eP\n8s6vu2D1DiyLxYJ05TfyrH8eSc6IHfXbK3Dz+e/AEr8D+09KOX0a5cwZAaouXED9+WcsGzci//57\nNhdKkgj06UPkwQdRt23DNncukteLkScPkYoVReezbFnBHU1OFqT6pCRsixdjnTUrPlABQm3aEHr+\nedS9e9G++AL9nntypJRIqop08iTKr78SevhhZKtVdHG/+SbuyNpUFAIdOhBq3Bjl6FEhoMry6bt+\nHXXPnigvFpdLWGSlpKB9+CHamjU5RshG7twif7pWLUJPPSXAcDAoaAC//57t85qebetjJCXhnTwZ\n3G5s8+ejbt6c0wS7Rg2MihWJ5MqFUaqUAHi6jvbBB6IbewtlIqsCjRoRatECbc0arIsWRUGdqShi\n7F+qFJFq1Qg2bSo8UX1+oeCPRJBPn8Kydy/KLz8j//47ZuEieGfNwrr8A6wffxz392DkzYvn/QVY\n338P65dfxN1Gr1QJ3/iJOHr3yBEja9rtmHnyYOTOg79HL6SIjnzyZLa1ltUqurYWC4amYRYsiHzm\nDPLpEyinTqAcP4589LDo4BoGvjcHIl84i+3DpfGP1eXC8+4i0XVNMP73jhiPumMb1m/Wxn0dIH3F\natzt44cfQCbVYclKQTP4CyA0gUj1GgRfaox+3/1IVy8j6SEs61ejrfs85ref/t4q0aW7TRJVoFEL\nTJsD++J5CbcByJi5CNs7U4nUqkPoyadRjhzE/v70GNuujHl/z48F8PYZjrpvL9a1QpFuFCyMb8BI\nTFXCObwHciBbGJcxcznOXh1jbJziVUXbCmAAACAASURBVPqHX4sI5Y8WYv06PtUjq8LVahBo3xt3\nZwGCwzVq4+87FOviWVg3rY/ZPlKgMN7Jc3E1fTb6bydcqw7+3oOxzZ6CtitWNKmXrYhvxBRcLRuB\nZsU3YgKYBo5BPRICXFOW8cxcSKRUWRyD+qDtjvUQBtGN9w8ehXzkEPZJo6PHFHqgHoHufbB8ux7J\n4yH87AvIh37HPmF0LH3A4STQsSvhOg+ibfgGyweL8Q8egVmyFOp332FbugijQEGCrVoTKVcBfF7s\nb09HPZCzw20AvgkTidxzH1JGOsgK6g/bsC1bGndqZDocBJ9/nmCv3kinT4PVhnT5EpbNm9G++CI2\nVAAIdsmcHK1bB5JEpEoVMQFzOJACAXE/+fZb5AMH0B95BH/v3iIW9V8Ip7xeLwsXLmTt2rW0bt2a\nl1566b/dg/z/Rf21s3rx4kVcLhd2u50DBw6wbNky+vbtS0pKyv/wkd7ZdRes3mHl3D2RpGOz4oz6\nZbzluhGoE1+t+k/qVgN/+7RpwiQfMPPnzx7flypFJH9+SE3F1DSUw4exzZwZE4+XVcFnniHYrh3K\n0aPY5szBzJWLcO3aGJUrZ1s/yTLS8eOYBQtiulzYPv5Y8DITdITCDzyAf+hQ5NOnkW7cEMKiW3On\nd+0SPqinTxMYOBD9vvty2FlFPy/ZvNjQCy8QqVMH6exZQQO4eVNwULdsQdm1K1sZCwS7dyf86KNC\nDDV3LpLfL+ymSpVCv/deYVydJw9GSgpmrlyC5vDVV1gXL44JGYBM260hQ4jccw/Wjz9G++QTjIIF\nhddrjRpCLJYJrs2kJMy8eVEOH8bRrx9KAppDoGlTQk2bYl26BO3TT3OO/IsUIVKmDHqVqoSaNEE+\ncQL0MCgqmAbymbOovx0QDgP79xF+7nlCzZrh7NE97s0MwN+yNfojD+Pq3jWh04Fn2tsop09hn5ag\n2+ly4flgBY7+fZEvXsDMn0IkJRWjeHHhd5uSSqRseaRIGDLSxcOYJCFdu4Jy6iTK4YMoh37HN3wc\njmH9UE+diLsfvVgJAv2G4HqjQ9zXAbz9h6MeOoB1zacJt8mY8R72eTNR98fv+AN4h41D/WkX1rVr\nMJJzE37kCcINHsbIkwfJ58P6xUdIF84Rer4JzvGJjfMNwLPoM9ytXr6tQEuvei/BRq/hHJbtJqCX\nq4C//zCIhLGtWIC663siVWsQavgSjom3F24YufPiHT09ChJz7KtcBfx9hgoh07i+hB99Fr1CdZxp\nY267JoB38DjUPT+hfb2GQKcehB+sj2Ns/7gUA9PpImPOh7heeyFnhKmq4u89mEj5Cjj7dEDOdEYw\nHU6xfYcWMV6wpqbhGzASo0BBnH07RAGhXrEavsHjcL2Wk2Marv0A/l4DsH6wIBqHGl0LCHTuhV75\nHmzjRhAcNAIzGMI5sEdC/m2w4bME23RA/eZL9EeeRP31F+xvT43azpmA/p/6BNp2BL8f55D+MQ8T\nkcJF8MxfLKKirVbsY0dh2RknxKNQYQItWhGpWhXCYbSlSwi/3AgzORnt44/R1qxGMgxMTUOvXZvQ\n088IJxObHfWXPVgXLyFStAiBPv1QTp7EPnVKlFZlpKQQriVM/o0CqeL65PMhGSZmSgq2RYvEJC7O\nb9XIlUtMhXr3FrGrqkrE6cwxsr/d+N7v97NkyRI+//xzmjdvTqNGjf6V6PhOq792Vv9a8+bNo0KF\nCtSvX///8ZH976q7YPVOqHCIvF8/hRY4lFPVHwDTcHPtsU+hwD3/5eWl69dRLlxAikTQ1qzBsmFD\nXN/RUN26BHr3Ft6f06cjX7lCpFw5Mb6vUCH65GwaBpKiYKSkoK1ahf3dd3OAxFtLL1cO/5gx4PNh\n2bqVSMWKwjDf4UCyWJDOncOyfTvqpk2En3+e0FNPof70E/YZM8TF+pYyMw39w/XqCVX/yZOYpik6\nlRkZqL/8IqgJe/dGP1sUTP/xB/a33kK+LLpPRlJStIOadUxGiRJirUuXhJH/li0x3qeQ6Srw5pso\nx45hT0sDWUavXFmkd2X5BtpsEAqJYIBcubBNmIC2fn1CV4FA69aEXnoJyzffoG3ahF6pEpF77sFI\nTc0WeYXDcPMmkcqV0Vavxj59WsIxur99e8JPPY196hRBj8g6hzabALNZqTMvvoh85CiYJqZVQ5IV\nuHIZ5cgR1H17UX/9Bd/wEcgXL2KfMC6+8AvwLluOtvozrJ+sjLMFGHny4Fm4BOcbXVFOnYq7TfCx\nxwk1fQ1Xp3Y5OslmSipGgQJESpUm0KGT4MyFQ2CzC4sr00Q+fw714AHU/b/g7T8cd6dWCbmhRmpB\nvKMm4O7cJsG3AaHaDxB+5gWcIwYm3EYvXZZAj764enSKv5+UVEKPP0WweRukm9eRTx3DtnB23NGz\nt+8ILD/tQvtuXcL9AaQvW427XbP4NmCahv/NwUSqVMXIXwB3txYop47ffr15H+Mc0jsh3QIgXPtB\nfN37YKQWIOmZuvxdbytcqTrBlh1x9c2mVxi5kvENGYPpcuIc1DWqUjcB77QF2KZNzCF0urX0kmXw\njZiAZfPX2FYswjNzKfbJY1APx3dJANCrVMc3aBTWZfORL53H32ckrhYvx/d0VRT83fsQua82zr5d\nkK9exrTZ8U6eibJnD/b5s7PXrVod/5sDkY//iX3s0FjvZlXFO30uWDRMdxLauq/QFsyLa5ully5L\noGcfjOTcOMaOAFnGP2Qk8vnz2KdOFgEgefMSbNkavWYtzGAIx9tvoe7bm3OdChXwjZ2AfOMmpixj\nOp0oB37D9v78uEEkpsWCf9Bgwg0eEs4sVivSpUto69dh+frrWAcBVcU3egxGmTJoa9dilCxJJLPx\nIFksSEeOoH33HeqWLUjhMKFnnsHfrRuhcuWIOBwJv6Nt27Zx5swZUlJSSE1NJXfu3Kxfv55PPvmE\nJk2a0LRp04T6jf9N9dfO6l/rLlj9Z3UXrP4PV/LGDtivr0XK9Ok3TcAHYVd10p9d+3836j91CnXf\nvqiq38ibV4zv778/6jtqOBzgdmMkJ2PZvx/Hm2/mGHHfWkahQnjHjwdFwfrxxxj58wuz+6zxvaIg\nHT+O5YcfiDgc6I0boxw8KLq4l2OThUxZJlKpEr4pU8So/erVbLX81atRZwH1iOjGhGvVItC/P9LF\ni9jS0lCPZ9+Io5+tdm30smWJ3Huv6ADabKjffou2YQPKjh0xNyu9RAnhKhAMYpsxA/X33zFKlSJ8\n332CF5sJrLFaMQ0Do1AhtO+/xzFmTEJXAaNgQTyTJiFFIlg//JBIyZLCtiXTe1BSVaTTp1F37UIv\nXhzj/vvRPv8c67JlCcFn6NFHCfTogbpzJ/Lp04I2kSdP1HJLCoWQ//gD6dIlws88jfXTTwV9IMFv\nwzdoMJEqVbAPGZxzpC/LmAUKEClalNATT6A/9hjK4cNCgKVZxb4CfuRTJ1F/+w3p0CH8I0fimDQB\ny874I1KjYCE8c+bi6tAO+XJ8n8XQo48RbNYcV+f2CTvu3gGDkPQIjrSc3FDTasUoVJhIiZL4BwxG\nOXkCU8oMK9A0pOvXUPfvxfLjduT9v+JZ+gmuHh2Rr16Jux8D8Hz0Be5WjRI+hAGkr1iDu33zmIeq\nHMc8fCzqL3vQ1nxGpHxFQq+8SqR0WUzNgrbhC7RPPwRZxjtzKe52iaNgAXxv9Ec5eQLr5/GpHFnl\n79wL02oX32ORomIM/00stSP4cEMiVWviSBt32/UAMhZ9guXLzwk9/TzK8cPYJw2PL86RZTyLV+Nu\n00QkqP2l9AqV8A8YgbJvD47Zk/G37gKo2OfPuO3+TSDQtguhRq+hrfwA+8LErgvR9ygKGfOWYRYo\ngrNjC9TT8e3RoseeWhDvqImQfgOjeCmcwweh/n4g7rahhx4l0KErlu+/i4LZwEuvEnqlKY5xo1D3\n/Yopy4RefIXQS42Qzp3FMWoIsj/2nITrPIhv9EQIh1B378Y+fgxynOmFkVqAQJu2RKpVgwwP6vYf\nCD/3HMrBQ9inpSFfvSo+tyyjV7+H8IsvEilRUlwDf9iOtmQRwdfboteti2XtWmyLFiHpeqY+QTQB\n9AcfwMiTV1ynTp7ETE0FWcY+YwaW7bERzqaqYpQtS/iBBwi2b4+paYTz5sWw20UjIWu7OB3YefPm\n8dtvv+X4myRJ5MuXj9TUVFJSUkhJSaFChQokJycn/uLu0DIMg0gkwrp167h58yZNmzZFkiR+++03\nypQpg81m4+DBgyxZsoQ+ffrcpQH8Td0Fq//DpZ3cQN5fW2fOn2Vulu9LsOab/2VujhkMol68iOzx\n4Bg8GOWHH+I+1Rt58wrg6XajrViBfO5ctvo+K5XKNFEOHxYA6OGHUU+exPYXH9Uca9rteKdNwyxc\nGPnYsWwVv6Yhnz+PumMH2saNyOfPo5crJ4ylvd4YIVTUWaByZcK1axN+5hkBDFUV6eJF1J9+Qtu8\nGXnPnpzirlvjVTM5rrhcRMqWJVyrFpHKlbPNqt1uzORk5IwMHN27ox6Nryg3NA3/qFEYpUtjWbMG\n+cYN0Y0tWFAARbs92tWVTp8m1KwZyrlz2CdPRj4bv1tl2Gx4p0+HAgWQDx3KBp02G/h8qAcOCIHX\nTz8Rfvxxgh07Ytm2DdvMmQnBU7hePXxDhqDu2yciZbO8Y7P8Xo8cwbJrF0Y4RKhHT6yLF2H9NP4I\n3AB806eBZsU5cEBsh9vtxihchEDz5kRq1EA+elQA+szoV2QZ+dJFlD/+gMsXCTVtjrttq4Sirn8C\nVP1d38DMmxfHmJFxXwfwjhqHfPoU9vfnZh8rYBYoiF6mLJF7ahB86WWU8+cxJQlMA+XQb2hbvkPZ\nvTMKvjyT30H7/BO07d8n3tfICag7fsC6Ln58K0C4SnWCr3fE9WasgMt0OAk93pDwow3RK1ZBOfkn\n9vFDUc/E7zob7lx4p87B1eG126ZjRQoVwTdsPK6OrYRLh9VGoFlLwo88hnzhHI4pI5A96Zm0g9W4\nW79yWwcDAF/3fshXLmP7YBEAof80INiuC9L50zjGDcrxAJgxfQG29+dg+Tm+XRlkGuk/9zKB1zth\nAsmvNLzt/qNrz1yA9s069PvuJ1KoMK6hvZEvxqfJAPibt8WoUBX7WxPxDRiGmTs3zkG9YqykcnzW\nngOJlC0PThfy4d+xjx+VmM8KhBo3I9DkNUynG+uXq7HNejvuA2f43hoEOncHzYp91GDUkyeJFC2K\nd3wayokT2CeMRcrIQH/wPwSbvYaRkopl00as89+NecAONH6V0GstkY//iZknL1itqFs2YV28OG6y\nnuF04n1/IaZmhUAAVBX58GFsK1ci//JzbHc4ORnv1DTQNNSdO8U9IVcuMQ27dk1wWdeuRb5+XZyD\nV14h0LEjofLlMWx/b5mYBVyPHj3Kzp07OZfpLuDxeLgR5xrRqVMnKlas+Lfr3mm1a9cuVqzI6YbS\nsGFDLly4wKFDhzBNk/z58/P0009TqVKl/6Gj/N9Td8HqHVB5vn6Fa3WmQu6SACiK8q/BalTVv2wZ\nls2bxYi7Th3RQc0cS0vBIPKFC4QrVRIXyOnTc0T13VqGLBMYNAi9Th3UPXswc+XCyJ07u4N67Jgw\nhd68GdPlwjt+PBJgmzcPddu2HDdUU5IwihZFr1aNYMeOmElJSNevR0fult27Y7xZDYcD39ixmEWK\noK1ahbZyJZJhCAFUlrNAlrgrJUWAJacT28yZaMuXx+WUGUCwVy/CDRqIC+4334js6kwOalYHVT5/\nHnn/fkL166PoOrY5c+JyxiCr49OW8Kuvovz+O6bVGo0PxDBQ/vgDy9atqNu2gc2Gd9IkcLmwzZ6N\n5YcfYo8xd24i5crh79VLRJxevIipqkiyjHTmDJadO4XXa+YFXq9SBd+oUSgHD+KYNClul890uwk/\n/DD+Pn1QjhwRN4usDnYkgnz0KOruH7Hs2IFepgyBQYOwvfUW2pbN8X8bqop33nsoJ09gHzsmVnyk\nqhgFC+Lv2w8zfwry6VMYuZLBni22kq5eRTlyGCIR9Jo1cbdtlRiotmyNUakyjkH9E3eKe/UBiwXH\n1MQJU/5OXTHz5sMxfrQ4TrsDvVx59PvrEKlUGdPtJpI/P5I7Ce2T5Whff4FyJnaMqperQKBLL1y9\nOifclyHLeD5cjbtV/A5jVgVeaoJRoRLapx8TfLU5RqnSoIewLl+Iti3bVD593nIcowb9bXcwfflq\nXJ3axBVV6VWqE+jQBTNvXsyAH9uynPuIV3qZcgTe6I+re6yhf7hWHQKdeyBdv4JjTH/C9R4nUu0+\nHBNH3nbNrHX9/Uei7t5JuMEjWFcsxvpVYhGWZ0wa6r692JYvAUSX0TdoBIbTgWtgz6jBflb523XF\nKFwCx7Ds30ykcBH8A0dgWhScA3vlELsZgGf2Iiy7f8Q+T3RKQw0eJtiuE9L5czhGDIx7TfF36Ipe\n5z9YNm0k/NjjSBcv4Bg1LKGQzkgtgHfAECLV70HSI7iaNUGJM20wVZXQ4w0JvfwKZlIS2qerMJ1O\nwk89g2XtV9gWZdvhmTYb4Xr1CT3zLEZqqnBCWf4Byo7t+CdOxsyVjG32rGhn1JRlIhUqEH6iIXrm\nA7ykh1F27iR0fx1Uvx/b5Mkx94Ysh5hwzZrodeuiP/QQhq6jFy78j0BqVkUiEVavXs3777/PE088\nweuvv47T6QQgGAxy+fJlLl26xKVLl7h8+TLPPffc/8rO6t367627YPUOrH8TuaqcP49y5AiOESNi\nDPyzygCC3boRfuIJ1B9/RLp5M5uDmgWqDh2KKtP9o0aB3Y51yRIscXiWpsWCUaoU/vbtiTzwgFB+\nW62io3buXI4OKghw4x82DKNyZdT167EtXowUCsUGA5QsSaRQIXHxdDhQdu3CtnBhTAc1qwItWhB6\n5RUR2Tp/Pkb+/IRr1cKoUkUkbjkcwvbp1CnMIkUwNQ3bggVoX36ZUMQSrlMH/9ChKMePI127JrhZ\nTifYbEg3bwqV6+bNSL//TjBL3PX11+Iz/SUFynQ4iJQpQ+i55wi/8ALy8eMCeJpm1Gory5s1+j31\n7k24Xj20L7/Eunhx9g0pyyKrShUi991H+J57IFcuiESQLl8WfN0ffhBisVtuqkZqKt5p05AvXcI+\nenRMEpXpdBIpXpxwgwaEWrdGPnIEJElwQZGQTxzH8vMe1B9+QDlzhlC9+gT69MUxcjhqIqsxmw3P\nosVYvt8iQhj++vuRJMzUAnjHjkFCQrpyBSN3Mtgdt/yOzqIe2I/hdBIpUxZXr+6JU8RatMaoWBHn\n0MT80uCLLxP+T32cfXslXEcvUxb/6PE4e3RDr1QZvX4DIkWKYDpdIEuo+37Bsu5L/CPG427XPKGL\nAEDG7AXY5s/G8vNPCbcxChbCO2EartZNczpS5M1H8OXG6LXrYLqcSCePIQcCOMffXlzpHToOdc9u\nrF9+ftvtQg89JkBmKIh09jSOKaNjwB5kArgPv8T9elOkOJZMWRWudg/+3gMxipcgqdnzCake0XVd\nSXjmLcPdRtiKmapKoE0Hwo81RFu1HNtfaA6+ngMhFMbxTqxwTy9RCv+AoRAO4RzSCzkQwN/1Tcyk\n3NjHDIv7Xeuly+LvPwQCAZyDe4FmxTN3GbZpU9B+iO2mh2vWJtClB3gycA7rh+zxYCTnxjPrPSzf\nfoPtvbnR/eiVqxDo0h0zbz6s77yFtjN7dG4A/pFjMYqVxD5hDJFKVQg9/Sy4XFhWfoS2amXc65y/\nbQfCL76EdOUKptOFcuggtnnvxuWjggg38c57H/nyZUyLBenGdSxr16KtWRM33S9SuDDeadORr11D\nun5d8OSdTqRQCHXnTrQ1a6I8c1OSCL72GoE2bQiVKyf+vf7DMgyDL7/8kvnz59OgQQPat2+P+1+4\nA9yt/3/XXbB6B9bfgVXTNKP/SZEIyrVryOnpInnpyhXkEyeEmfzx4/h794bcudFWrIixaYqu53AI\ndXnr1sjHjwuwYrMJ0PDnn2hbt6Jmio0MWSbQty96nTpCLT9vHlImD8uU5WgHNVK7Nnq5chjFigkQ\nl56Odc0aETAQRzGfQwg1bRqEQqKDWrt2Tm9W0wRNg7x50RYtwrZkScIxpl6+PL4xY5DT01G//17k\nXefJI8BnFjVh5060jRsJNWwo7LR2744v7gLMlBTCtWvjHzIE5dw5zHBYdIdDIZTffhOj+507o2O7\nUP36BHr2RDl6FHtaGnJmLrapKCI0oWpVIrVqoRcqhFGpkvAoDIfRVq8WQrF4Irh69Qi8+Sbq/v3Y\np0xBysgQYrFy5YSzQBY3NnfuaPSr9vHHaKtWofz5Z8zN27DZ8M6YgWSaOEaMyBGyYNpsAiBXrEi4\nTh0ijzyCdOoUmAaSJAve7S97BI/26FFhev6fegLMDuiXuGtvt+NZshRtzWpsy2LtqUxVxShSBN/o\ncUjhkPiMbpcQVGka0rWrqAf2o/64k0hqAfQnn8LZo2tCEBp68D+EWrfF2bldwocUIyUVz6x5uFs3\njwvMTLsdvXIVvBOnoJw4Lo5FAsuPO7B+vhL5ljjZ4HMvE6lYGcekxKp5A/Cs/BJX+5Yx1kC3VqRg\nQbyz3kc+cwojf36Uo4ewv/tOjJm9XqEKgfbdcPXuknAtQICs2Qtwt2yCFA6LGM/XO2IUSEVb+QG2\nL7OpIRnT52NdugDtx/hc5OiasoznwzXYp4wn+GpzzNQUbDOmYtmzK/7n/vALnD06o5zPSZMxFYVA\nq7aEGz6DtuYTbCuXEXi1FZGyFROGR0Q/f+Wq+PsMxMiVC/XXn3GO+XvXFL1qdbzDx2KkFsDVvjWW\nQ/EDLqLbV6yMv1dfjHz5kSIGzh5dEgrTTJebQIfOhO9/APWXn5CO/EG4WUts785B+zanFZfpcBB8\n6WXCjz6BabNiXbQA6zfrCbz0CqHmLdHWrMa6ZLFQ9ksSerXqhF9pRKRkSUxVRfvqK7QVy8Htxjs1\nDSliYps0CfWI+Pdn5MtHuEED9PoNxDXBakX55WfUrVsJdOuGfOkyjgnjYwJWjKQk4X7S4CEixYtj\nlC2LYRiES5T4VyDVNE3Wr1/PnDlzqFOnDh07drzbKb1b/7rugtU7sBJFrpqmiXEbw+sca5gm8s2b\nKBkZSJcuIV+9KmJUd+xA3b8f+dQpTNMk+MYbgo+6cyf22bNzGMqbmoZRujR6jRqE6tUjct99SFeu\niIvd/v1YfvhB+Jf+RTwVatCAQI8ewg4lLQ3p7FnRQa1cOZpuZTqdgoTvcmHmyYO2ZQv2oUORE3Ay\nI0WKCKqBaWJdsYJIoUIYVatGO6i3Amvdbkdv3hzl99+FuOtKrJDGlCQiZcoIcZcsi89ls2V7s/70\nU9SbVSZTcTtyJPLNmyIY4JY8bNPtRi9fHr1mTSHyqllTWNXY7Sg7d2LZtEl0UP8iXDPy5hW0AE3D\nNns26s6dmPnyiTVq1SJSpkyUUmA6nRj58qEePYrzjTdiOqTRNVNT8U6dipQ5ypNCoWyLrKJFxfm2\nWgXot1ohXz7sffqg7YoFFpDJX500CbNQIewjhkdFbabFglG0qKCb3HMPkRIliVSrhnT9OpLfLzqj\nP2cC2cxzCBCuWRP/0GE4+vZB/TMBT9hiwbP0A7SvvsS2dEnO7w0wUwsQKVMGf683ARMpIz1TuGZB\nOncW9acfsWzbgnL6NHr5CviHjsT1eouEDzWGy4Vn6Ue42rZMeF4BPG/PwrJtazSVy3S60GvUIPzI\n46ID63Jh+r1QsjTuF56IK6bJqoxZ72NdujDGAD7HcckynpVrcHVqi3z5krA9qn4voVebESlWAsmb\njn3+LOT9v+BZ8SXu1q8mDECAbOGY842OKBdyAhPTZiPYuBnhxxqCNwP1p12YBQsnjLq9tdIXfoRj\n6kTUvSJNy3S78Xfqjl6zFtrmb9EWZOfcZ8xfjm3mNCx7bsNplWWCr7Um0KQZqBaSnnkE+TZ2Xlnl\nGT0JKWJgpBYAm4Z93EjUPxOncfmbtyFStwHW2e8QbNsRM39+rHPeQdsWn6tsaBreeYtQ9u3DzJOX\nSOnSqDu2Y5s5Pa7LAECkUGE88xeJLqfNhrbhG7QF7yXc3nS58Y4aQ6RKVVBVtE9XYV24IK4rCYjf\nYOCllwh2eyP6b0/7dBXaqlVxRVoAerny+GbMEGEokuBPY5qou39EW706RzPBlGWCLVsSaNmKUNmy\ngpP+D8s0TTZu3MjMmTO599576dKlC3ny5PnH779bd+vWugtW79C61bLj34DUvysJkG/cQLl5U3hY\nShLq999j2bkT9ZdfkI8fz8EdDNepQ6BvX6QLF7C99RbqsWOiM1i8uOB71qyJkZKC4XRiFigADgfy\nhQs4BwxAORTfWsbIn18IoWw2tKVLkT0e0UEtVy4KzqRwGOXAAbh8mfCTT6KeOCGsp24jWvJNmYJR\nqpQQd2XxRjUNOWvkvnEj8sWLGIUK4Zk4EckwsL37bg4+qgBDqVHf2fBjjwmzfUC6ckWA2C1bUHbv\nziG8iAqxypRB+/RTtI8+AlUVYP8Wb1bT4RCgJikJyWLB3q8fWhzuKtxC33j0USzffotl2zb0GjWi\nDgxZTgDyuXPIBw8SfuQRlEuXcIwbl/g8yTL+0aMxypZFW7YMM1cusd4tnF3pxg3UffswNA297oPY\n35mBtmljwt+Uv1s3wg89hGP0GNT9+8Tvo0gRIuUriM9dvBiGw4lRujSSLKP8+gvqrp2o239AOXYs\nR0dUL1sWX9o0HAMHoP7+W9z9GYD33fkofxzEPu2tbI9ZRREAulJl9Jq10GvUAKsNvB7wZGD55Wcs\nWzYiH8juWBuqimflapzdOyUUDgJ4JkxCPXwY28L3E25j5EomY8ly/g975x0dVbl+/8+pU1IhBJJA\nqKFI70WKiNiwK+q167ULKN6LIAoWpJfQsSGC0sReQHroTVBEQFoA6T2UZDLllN8f78wkQ2ZQvrd5\n7y/PWq67ltfzzjlvTjL73c9+EVdz5wAAIABJREFU9nbMmo7ZsrVgsXQd5edN6J/OQj0g9KaFDz2G\nXbYc7tEjYq4FcGHabJzZw9E2R48RNStWwn/v/fhuvBmpIB/HR5PRv/kiaisZ4ML493F8Mgt9Reyf\nJYDv6s74XngJCgtQN2/COWFU1PYxQP7QsWgrl+P4uuSwni3L+G++HX/Xe5DOnMI2TbQN63B+OuuS\nnw/gu+EmArfcifbt1/i73gs+L3ED+0cw2BHPNu49tPXrcE6bAoCVWp7C53ti1r4C/bNZOL+IlBbk\nDxuNfPI0rqEDi96fuHi8jz9J4Mp2KFt/wTVycFhS42/bHu/zvXC/2gd1p/i7ZksSgWs647v3foiL\nx/HeJPTlQgMsjPlHQnIZ3K/0QT51ClvT8F93PYFbb8cqW1YcfN57O7y3RlZNPIOGCm/WkeLdCLTv\nQODmmzHLVwCvF+fMmaiLFyIjDlkFo0aDrOAaPAg1NxerbFkC7TtgXH01VrlyQoO/eTOOmTMA8Awd\nhnL4MK7BgyIO8XZ8vGBsr+6IWbUqJCZi6w6shIT/E0hduXIlY8eOpW7dunTr1o3U1NQ/fH1plVa0\nKgWrf8LasGEDGzdupGbNmtSqVYvKlSv/YQ3r/7UkSUI+fx7l3Dmk06eRTp/GzspCKiwkrndvlJ9+\nihqlZ5UpI4BnUhL6jBmomzdj1q8vBqAqVSqamM/LQzp8GKNJEzHclZ0dYT0VsSbg7dMHo0MHlM2b\nhbVWKGAAUHbtEkNLK1eCy0XB0KHgduOYOjUcDxgqW5ZFy71RI/z33ouVmYl05oxo3x85IuyxLpIm\nWID3738XFi+LF+P84AMkn0+020PShKDmN5TcRVIS+qxZOMePj/nF7uvcGV+3big7duD86COMGjUw\ng84CxXWx8ubNouWWloZz1iz0L7+M2b42GjfGM2iQaPGfOYNVsWLYl5WCAtRg8IG8eTPeAQMwa9TA\nOXEi+vLlUdezAe9jj4mBseBgXUiCISkK0oEDaOvFkJdZsSKF/V/D8dln6NM/jtmG911/Pb5nn8M5\nbiza8uUCUNapI9jeSpnYcW5spws7OQmrbFlc48aiL1wQ1e7MSk4mf+pHOMeOuTSAfq47Zv36xPV8\nHsnvD6auiQOImVVTMNVuN3Z6Oura1Tg/nIKy89eoz1DQtx9yfj6u8WNifp6VmEj+RzOJe+YplGKA\nytZ1YSN0/Y2YVatipZbHLlcO92svoy7PiQks8wcOQ/t5M445lwZ2+YNHoP66HccXn+G/+Vb8V1+D\nnZyMunEdzg/eCQ/6FD72NHZ8Au6xIy+5nlW+Avnj3yPh4fuh0COm0+9/EKtcOfR5X6PP+ih8z4VP\n9cB2OH8XdANcGDkO0jKwZQn9i0/Qv5gT89l9N99O4LqbiOv+dHiy3sysjLf7C5hVq+GY/TGOb8Uw\nlgUUfDgbffZMHHO/KbGWrWn47n+IwPU3IO3fh2vUYDwTp6DPml4isjR8DWC0bY/30ceFdtvnF4fA\n118toUsPX5OQgPehRzGubIstK1iJibhHDIv5jtqKQuDqTvjvvAuzQhp2YiLKvr3EvdQrpmuGVb48\nvptvEZGn1Wtgu1y4JoxHnzo15l7amoa/y014+/QR3TRdQyrwoK5ZjeOrr0q0/m1JwvfgQ8L3+TJB\nKsDatWsZM2YMVatWpUePHqSnp1/W9aVVWrGqFKz+CevMmTNs3ryZ3bt3s2vXLg4cOIBhGKSnp1Or\nVq3wP9WqVfuXmyZLkoSUn49y9ixyXp7QxZ48ifzrrxidOyPl5eEaOhR1586o11uA/8knw3pQ/H6s\nqlWLGFSPB+Xnn9FzcpBycykcNAi7XDn0mTPRv/22BEiznU7MGjXw/+UvBDp3FsNduo5kWQJIrVol\n2vdBHWD487t0QV27Nix1CNtj1a8vzPyrVBHBAOnpgg3bsQPXmDHIP5a0dgEwmjSh8JVXBOM8fjzo\nupABNGokpAkuF5KmwYEDSLaNWasW+pIlON95J5xmU2KvypShYMIEkCSULVuEXCIIFAkEUH79FW3F\nCtS1azHat8fbrRvqtm04R45EPlfSAN8qW5ZAw4Z433xTeDB6POEvHzk3V7g5rFwZ/nL03XQTvief\nRFu0SCR3XRwHqWlYVaviv+46/A88gJybC7Ic9F71Ct3u6lViyCsQEBGub7+NunkzruHDY2uLq1XD\nkz0afe53aCtXYjRogNGkKVZqOXDHYTsdwjP31EnMps2If/Rh1BjBAhZQ8O77qNu34xw7OvYwVfXq\neEaPxTXgTXC7CLRpi1W9epFzxonjaKtWYlSpgqyquIcMjLFSUEYw/RPinn3q0ub6zZvj/Vtv3K+9\nir/j1ZjNmmMlJSH5fGgLvxesqM+H974Hsapn4R74Rsy1ADy9Xga/MIovXraiYLRpJ4BQejoUFmK7\nXCQ+ePclba+s+Hjyp0WXQ9i6jv/WO/DfdLNItvthDXa1msS9GHvwLVQFvV9BMm3cI4ZgOxz47rqb\nwHU3YlsG7hGDUXcX/e3w3t4V46prhAY5mr5e1wX4vPZ6OHIIs3oW7lHDLymnCJXvrrvxPvkMUqEX\n/aMP0b/8LCbIAzCqVsOTPQFl+1asKlVFvOmY7Jjeq1Z8PAWT3kPZswcs8TuPbaF//BHawgUlLaIA\nz9AR2BUq4Jj+MYFO12BlZoKmoeUsRZ8xPaL9bwGFAwdhVa2Oc8Rw5HPn8F97HWazpliJSUiGgbZk\nCfrnnyGfP4+Vnk7ByFHIp07hGjQwrJm3kpMxmjcXWtSKFcUwVSCAvHMHgQ5XCZB6GZpUgI0bN5Kd\nnU16ejovvPACFStWvKzrS6u0fq9Kwep/Sdm2zbFjx9i9e3f4n3379uH3+0lNTY0AsTVq1MB5GVYi\n/9eSvV7kEIg9fVroYrdtE8NdBw9S2KcPdkaGsJ767LOo/oNWcjL+m2/G9+yzRcNdmoZkGMjbt6Mv\nXx5h5u+97z7899wjHADGjAmDNFtVsapWFS33Zs0w09OxatUS0/KFhTimT0dbvBglSns87Pl6/rxY\n89ixcMBAyB7LdjoF2PJ4sKpXR125UgxNxQpQcDrxDBqEXbUq6rJlWBkZIjY2Lq5EbCwOh/j8vDwR\ndhDF89WOjxca25dewk5LQz52TOxTMMpWW71aMKghkJ6cTMHIkaBpOMeNQ9u0qWitUHRs0LbLaNkS\nDENIJnbuRNuwAXXZMuTduyN9bDMyyM/ORjl2DNdbb4VNyCEYsVirFkazZsKxoEULwaYHAsj79qJu\n+AFtxfKICWbh5zoWHA7cL/eJCrghaJU1dSrysePIe/ZgXVEHKzF4IFAVpP370davRdm0Cc+Ycb/L\nunrv6krg9juIf/aZqBP9NmBlZlIwfiLS2bNgmoLVt23UnzejL5iH/MsW0Yp1u8mf+Slx3Z+JOZ0N\nYvDM99QzxD/xWIkOhZWSQqBDR4wOV2HUrIWdlIRjzmwcs6cjnzkddb3CRx/HrlIV9xuXjlMNNGiE\nt29/lJ83i26ApqF/9xX6559EylhUlfzZXxH3/HMoB6MfBELlu/lWfI8+IXLnFRnH1Mnoy6Lvt6dP\nPzAM3CNKWopZael4n3wGo159lF+3Iu/LxWzaSgDg39GoWmnpQgu6fx9W+fKoa1bhfHtCzBjUwgcf\nwbj6GuK7PweWie/OrgSuvQ5b03BOfjfcvg/fd89eWFfUxf23nuHfcatiRbyPPIpZrwEUenCNG426\n9Rex/hNPY1x9Da6+L6Pu21t0n2XK4LvjTox27bETEkTrf/J7+O+4E/8dXXGOG4O+bFnEZ9suF4EO\nHfDf2EVYURkGnDuPlZaGa/y4Ev99+LOSkgi0bYv/1luFftw0UXbuQv/sM9TFi6KndwH+rndT+Oyz\n+GtUx3Zc3vfG5s2byc7OJjk5mZ49e1KlSpXLur60SuuPVilY/S8v27Y5ffo0u3btCjOxe/fuxefz\nkZycHAFis7Kywn52/8qS/H6UCxeQ8/OFnvL0adG6X7sWZfv2MMjx3nkn/oceQtm2TQxCFQM/djEz\nf6NRIwF+zp0LprGsRlu2DHXFihJDBGZmJp4hQyAQEENLGzcK/WTDhgJ8pqdDMR9UKyMDZccO3L17\no0QZxIKgzvPVV7GaNEFdICZ5rbp1wwwqkoSyZw/aqlXIO3fiee014Tk7cSLahg0l1rMlCTsjg8In\nnsC45hoB0nVdMJSh2Nhg614OfX6/fliNGgk97KxZRXGkmoZVrZoAnk2bCl/djAxsQD50CH3BApEC\nFkVyEY54XbAA5+TJEAhgZ2SIQbjmzbGqVBHt8oQE7KQkSEjANWSICEeI0g61gMI338SsUwfXqFFo\nGzaEZRhmaM1gTKNZoQIkJqJs34Zz8mSUDRuifpl677kH/1/uw/3G6yLw4OK9DLK9npd6Y6elIZ04\nLoClHjoQrEXLWRoGkvlDRyD7vLjeeC22M4DbTf5H03F8/BGOr4tsoOy4OLE37dpj1qotDh/lKyDv\n3IFjzmzR1o/yDL7rb8B/919E6MElDPi99z2A0f4q4nr/nUCzFgRuuAErPQPb5ULZ+jOOmR+j7t+H\n76bbCFzTmbgXe1yS1Qw0b4n3+b8R//gj4TAJOy4e/403ErjmWqyUFJTdO3G8PwnPyPG4B7yOurXk\nHkc8S5dbCNx2B3HPPIlkmljJyfjuvQ+jTVtsXcMxYxragnnIQMHL/ZECgahAtXjZQMGYCVhpGSCB\nunEDzknjoxrcA/hbtcb7Ym/in3kC+cwZbFkm0LET/rvvwUoph77ge/RpHyBblmDax78jPIGHDy3p\nhpGYiO+BhzDaXAmWhWPKe3i790T/7juc0z6Mec9WRkW8Dz9CoFVr7JQU1C1bcHd79pJMra1peB9/\nAv899yJdyIezeehff4X+9dcxB668Xbvif+gRtGU5WFWrYqWUE4fKX7bgmDMnYtDTio+nYMxYJGyc\nAwagHDwo0vjatsNo0Rw7Wfhky0ePoi1cIIannn3uD5v5F69t27YxatQoHA4HPXv2JCsr67KuL63S\nutwqBav/w5WXl8eePXvCQHb37t0UFhYSHx8f1sPWrl2bmjVrkpiY+C+/n7DN1rlzQjOakID25Zei\ntb11K9LRoxFfJlZGBvmDByNJEs5330Vbswbb4cCsUaOo5V6mjNBoJiZiJyUJjW2PHqi//hr1HiL0\nqEuXomzbJhwKqlUT6xSTJigbN+J74AGkuDgcH3yAtnRpVHBgOxz477gD77PPouzdKyQGoVjVw4cj\nXBMswP/00/hvuAFtxQohCyg2NV48EteoWxezfn3h0GDbqMuWlWCaQ2U0bUrhK68gHzwoWu7Hjgng\nWb++8LCtVEkMwTmdEHQW0BcuxPX667EnmTMzKRg+HDkvD9fo0VgJCQJw1qsXER3Lb78h6Tpm1aq4\nxo9HX7gw5jvgb98eb69eaIsW4Zg5E7N6dbHmFVcUrakocPQoZsOGaDk5uN8aEBtYpqeTP3GikC68\n/XbRsEzwQGA0aIDRshVG7drYlSqCz4984DfBHi9ZVALEG/Xq4xk0GPffXkTdW9JiLVS+G2/C/+hj\nxD3fHTshkUC7dhhNm2InJWO73cjHj6ItWYzldGJ2vJq4bs/EjNIF8PTqg52UhLvfKyV9aVUVo1Ej\nAl1uJnBlO3A6UX78AefsGag/boq6nr9te3xPPEP8kyWZ3PC6iGSlwuyxSEePgmWhz/1a+H1GPTjc\nh9GuA3HPd4v6LHZCgmjxX9URs2Il5Lw84h+6N+b7Far8MROFvdu40SIqtG17fHffg5WWJgadxo9B\nPiekKoVPPI3ZqAlxPXtE1Y/amob/xi74b7kdKykJq3wF3APfwLF40SXvAaDwqWcJ3NAFKf9C0BLq\nO/TZM6PevxigGg5lyuAaPpxA+/YE2rYVqXj79+F8/70I6zYrMZGC8ZOQjx3FPeBNpPx8wah3vpbA\nVVdhlSmLFAigzZ2L/uXnGE2a4n35ZbSFi3C++07E0KutaRgNGhK44XrMrCzRZUhKgoR43D1fRI8R\newziZ+57/HG8PZ4nkJR02SB1586djBwpdM8vvvgitWvXvqzrS6u0/q9VClb/P6wLFy5EyAl2797N\nhQsXcLlcYRAb+t9/h9WIZNuCfT1/HunMGeTTp7ErVgSXC3fv3qhr1kQFK+Fp+c6d0VatQp87V4CT\nZs2KWu6ahnzsGPKPP2K0aYMUH48+fTr63LkxWanAlVdS+MYbyAcPgtcrwhOcTiTLQg76qaqrVyMb\nRpEsYeNGXOPGRfiz2rIcdk0ItGolNL4nToDTGY4/jcZ6GlWqUDhkCJLHIxwYtm+PYJqtevXCrK6d\nkIBdpoxwYOjeParMAUSb1/PWW9g1aoiEr+PHhT1WMQ/bULyusnMnvttuQzl8GPeQIcjHj0dfk+Ag\nXJs2aEuWYKWlYZUvL5hrh0NYgG3aJFLObJvCwYOL9KuxdLtuNwUTJiCZJtqiRRiNG2OlphateeYM\n2qaNqMuX4/3LfVClCu7eL0UdxgpVQf/+WDWyiOv9EtKJE8JGrUEDjNatgwNecdguERVrl00h4bGH\nhe4wRuUPG4FkGLj7vRodtAFW5coUjJ8gYoIDAWx3HFLeGbScJejz50XIR/JHjhY2b+NiD3CJ53gd\n3HG4X3kZq0YW/i43YTSoj52QiHT+HI6vv0BdOB/jqqvxPfAI8U/99ZJMrlWmDPkffoy73yvCxSE+\nAf911wnWtVwK8slTOKe+j/rTjxQ+9qRoi/d68dK6V6Bg8lTUH9YjHz9O4LobxFq5e3BNGo9yuMhx\nwZJl8qfPwTHjYxzffl1yHyUJo0VL/Pc9gFmxIlZ8AuqWn4l7+aXf1cl67+iK/+570L/+SiQtlU1B\n3rML16SJEfcAwRCL9z9E/XETruxRSLaNHReHv/O1BG64EatcOeQDB3C+Mwl1z278bdrg7d1XpOUt\nijyY2YBVuw6+rl0xa9XGdruwLQtJ1XD37hXVY7r4z8N3/wP477sf6dQpJCOA/ONPOD7/LIJBLb7X\nhYMGYVWrjnPiRKykJIz27UWiX0I8ks8vAlq++Rrl0CECbdvh6dMH/xVXYF3md3hubi7Z2dl4PB56\n9uxJ/fr1L+v60iqtf7RKwWpphcvj8ZCbmxshKTh79iy6rlOjRo2wnKB27dqUK1cOSfq9r4zfr1BO\ntB0FjMqShHL2bASIlY8dQ12/HqNtW6xKlXDMmIH+1Vexp+Vr1cIzYoQYCjtypEgGEAI+P/wQdgPw\n3XYbvkcfFUNL2dnR055q1sTfpg2Bxx4T3qxi41B27xYOBStWRA5FVKgg3BIURUSsrl8fji0sznra\ncXFYqakCYKsq7v79URcvjtpWtCDsj6stWoS+bFkJeyxCllY//USgbVtkh0PIEtbGZl38V12Ft29f\nYTlmWcLpwO0WDPHBg2jr16Pl5MDx4xT264fZuDGOadPEINzFP1dEOpm/Sxd8jz+OvGcPKIqQOgQC\nQo+8YkWYJbZkGc+QIdiVKuEaNAh1e0mD9tCahd26YbZqJYbrnE5slxPJ60PZsgVt+TKUjRuRLUuw\npIMH4Zg6FceXsaM8jcqV8YwbhzZvHspvv2G0uVIkqcXHge5APnwIbdVKlPXr8Ywdh2PqNBzfxE6J\nssqUIX/KVBwfFX2uGOjLINC6tXh3y5XDio/HLlcOZfcu4nq/FGYPo/28Cz78SCSCTYlunWWlZ+C/\n9lp8jzwK/gBS3hn0nCXon30adV2jVi08Q0cQ//RTyCeiH0bMqlXx33EX/tvuANNEXbkMx9QpqL9F\nj3wVfrWzcI4agb6yyKvUBsz6DfDdcy9WjRpgWajffo3/wYeJ6/9KVHlHxLopKeS//yH6l19i1aiB\nWb0atqygf/MV+mdzIrW3QMF7H6Ds3YtryODw34XwPdz7F8zq1ZFsC332TKHZfPQJ3H17o+6O7slq\nA1at2hQ++BDG1Vcj2Tbad9/hnPphzIMcgK/LTfieegr9668xs2piVRLDTPLeXJyffBKRzGclJpI/\ndhzyhQu433hDHNh1HaNBAwLXXhvUzieIVKmVKzBTy2M1biycPXKiR+ZaSUkYTZvie/ppjHr1MJ1O\nzMtMjPrtt98YNWoUeXl59OzZk8aNG1/W9aVVWv+sKgWrpfW75fV62bdvX4Sc4OTJk6iqSrVq1SJ0\nsenp6X8IxJ49ezaq9CB07aXWuNhmSz5zBvn4ceGBumkTcm4u/k6d8D31lEjEys4uwbyF3AAC9evj\n7dtXaPoKCkCS4MIFtJ9+EilSP/9c9IVSpoywyYqPj5AFhAaWAs2aYTZpgpWcHLaQwu3GMW0ajpkz\nIzS5Efsbio1dvx7nxx9jVqsWtFjKivCdlbdtw6xaFTs5GeeMGehffx0bpFerhmfMGJFoduSI0IiG\nJt1DjGcw9CBw6634HntMsMNjx0YEQwBhX91A06Z4e/VCPnZMDGRJEtKZM0Vr7dwZ3iujbl0KBwxA\n3rcP1+DBESlNdkICRs2aQspRrx5Gy5aCgQSUYGystmxZCQufQLNmFPbrh5aTg3PixIjWqJWUFLYV\nMxo2xGzQAOn8eaTz51G2CvsudfXqCK2tBXhGjISkJNx9ekdNkgqx455+/bFTU5FOn8J2ukBVUHbu\nRFuyBHXVynCr2HfzLfgeeZS453tEWFhdXIHGTSh8802co7OxExIFI5aaih0Xj3ThvJgGn/sd2Bb5\nH83AOXwY+upLBAgABZOnCP139ihISCDQti2BazqL+Ey3G2X7NhyzZ2BVqozv0b8S//QT4X2Puqaq\nkv/RDPTv5+GY/rGw4Lr1Nszq1bHdbtQfN+Gc9iHysaMC/A4bRdzz3cLRnLHKd8+9+O57AOnkSeyk\nJOSjR3F+9CHqTyX9ZH233Ir/gYeJ69EtAhjaCQn4r7+BQOdrscqWRT50EHXRAvzPdMM16K2oWvHi\nZVasSP7HM5CPHBEHqFOncHwySyT1RfnvC596hkCnTrj79xMHmhYt8He5SRw03W6ULVtwfPwR6r59\nmJUrU5A9RgStjM6OYLdtScKqVRv/jTdg1K8vWvhlkiE+gbju3SIGIaNV4TPPELj5FpQdO4QEKi5O\ngP8ff0SfOzfikGfUqYNnwAD8DRtiXmZi1KFDhxgzZgyHDx/mhRdeoEWLFpd1/b+jfvnlFxYvXszh\nw4dp2rQp999/PwCmaTJnzhw2b96M2+3mtttuKwXZ/wNVClZL6/9cgUCA3377LYKJPXr0KLIsU6VK\nlQg5QWZmJpIksXPnTnJyctixYwevvvoq5cqVA/4YSP29CttsnT8vzOdzc5GPHkXZvBlt/XqU3bvD\n+lArMVEkMyUn45g2DW3+/DA7KDw5rwgDRrNyZUhIALcbZfVqHHPmiFjVKC1g75134n/wQdSff8Y5\nfjx2crIYfmrWTLTn3G5wOuHECSSXC6t8eRyzZuGYOTMCfBUvKzWVgmxhT6T+8ANWjRolh7uCkbhm\ngwYU9u4tvGxHjBDAsliFQg8Cdevi69ULNA3OnhUa4sLCIDsZGXpgxcdTMGIEJCbinDAhzM6G7b+C\nzglW1arCUNzlApcL7fvv0b7/XgxPXbRXFuDt1w+jcWMcH3yA/v33oGlFLgXNmhWFKAQHvCSfj/ge\nPWKHTciy+JmmpeF66y3UXbuw3W7MrCwCLVtGJJ7Zbjd2Whrat9/iGjE8ZtpUyFZLmzcX5/vvF2li\nHQ4hy2jdBrORCGmwqlYFRcHx6ado8+bGjJvNHzIE3HHE9ekdVQ5hVahAoGUrfE88AboDvF6kvNNo\ny5ahf/dtCVBtZWSQ//Z7OIcOQV8TPWDCVhSM+vXxZI9GzssTUc3nz6PN+w597nclpuiNrJp4Ro7G\n3Td6OIOtqhjNmuO/5VYCrVuDw4mWswTHlMmxmVfAM3Y88tlzuF5/TcSHAlb16vhvvwOjfgPsxASU\nXbvQP5yMr+ffkE+fwfXm65fU+9pA/rvvQ3w8+PzYCfHIe/bg/HhaVIbee/+D+G+/HXffvqh7BJt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PT586PqVy1VxTNihDjUvPUW8pkzYmiwXbuiw4eqIu3Zg7p8Of4uXZDKlAkfgKKVrWmYderg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\n", "text": [ - "" + "" ] } ], - "prompt_number": 9 + "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The result is clearly a 3D bell shaped curve. We can see that the gaussian is centered around (2,7), and that the probability quickly drops away in all directions. On the sides of the plot I have drawn the Gaussians for $x$ in greens and for $y$ in orange.\n", + "The result is clearly a 3D bell shaped curve. We can see that the gaussian is centered around (2,7), and that the probability density quickly drops away in all directions. On the sides of the plot I have drawn the Gaussians for $x$ in greens and for $y$ in orange.\n", "\n", "As beautiful as this is, it is perhaps a bit hard to get useful information. For example, it is not easy to tell if $x$ and $y$ both have the same variance or not. So for most of the rest of this book we will display multidimensional Gaussian using contour plots. I will use some helper functions in `stats.py` to plot them. If you are interested in linear algebra go ahead and look at the code used to produce these contours, otherwise feel free to ignore it." ] @@ -610,17 +583,24 @@ "P = np.array([[2,0],[0,2]])\n", "plt.subplot(131)\n", "stats.plot_covariance_ellipse((2,7), cov=P, facecolor='g', alpha=0.2, \n", - " title='|2 0|\\n|0 2|')\n", + " title='|2 0|\\n|0 2|', axis_equal=False)\n", + "plt.ylim((4,10))\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", "\n", "plt.subplot(132)\n", "P = np.array([[2,0],[0,9]])\n", + "plt.ylim((4,10))\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", "stats.plot_covariance_ellipse((2,7), P, facecolor='g', alpha=0.2, \n", - " title='|2 0|\\n|0 9|')\n", + " axis_equal=False, title='|2 0|\\n|0 9|')\n", "\n", "plt.subplot(133)\n", "P = np.array([[2,1.2],[1.2,2]])\n", + "plt.ylim((4,10))\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", "stats.plot_covariance_ellipse((2,7), P, facecolor='g', alpha=0.2, \n", - " title='|2 1.2|\\n|1.2 2|')\n", + " axis_equal=False, title='|2 1.2|\\n|1.2 2|')\n", + "\n", "\n", "plt.tight_layout()\n", "plt.show()" @@ -631,13 +611,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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hhReiDq2rlVUTdauBwUIy6lDoVQwWkmhYDdQ0E54fRB0OEREtExMnIupKYRhC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SSy9t234Lt91224EPLKLDYb4ZXu3MNUDrSfDnPve5th2PBg/zzWC57LLLVtTOfMOGDQc2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"text": [ - "" + "" ] } ], - "prompt_number": 10 + "prompt_number": 23 }, { "cell_type": "markdown", @@ -651,9 +631,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "From a mathematical perspective these display the values that the multivariate gaussian takes for a specific standard deviation (in this case $\\sigma=1$). Think of it as taking a horizontal slice through the 3D surface plot we did above. However, thinking about the physical interpretation of these plots clarifies their meaning.\n", + "From a mathematical perspective these display the values that the multivariate gaussian takes for a specific standard deviation (in this case $\\sigma=1$). \n", "\n", - "The first plot uses the mean and covariance matrices of\n", + "Thinking about the physical interpretation of these plots clarifies their meaning. The first plot uses the mean and covariance matrices of\n", "$$\n", "\\begin{aligned}\n", "\\mathbf{\\mu} &= \\begin{bmatrix}2\\\\7\\end{bmatrix} \\\\\n", @@ -661,7 +641,7 @@ "\\end{aligned}\n", "$$ \n", "\n", - "Let this be our current belief about the position of our dog in a field. In other words, we believe that he is positioned at (2,7) with a variance of $\\sigma^2=2$ for both x and y. The contour plot shows where we believe the dog is located with the '+' in the center of the ellipse. The ellipse shows the boundary for the $1\\sigma^2$ probability - points where the dog is quite likely to be based on our current knowledge. Of course, the dog might be very far from this point, as Gaussians allow the mean to be any value. For example, the dog could be at (3234.76,189989.62), but that has vanishing low probability of being true. Generally speaking displaying the $1\\sigma$ to $2\\sigma$ contour captures the most likely values for the distribution. Recall from the Gaussians chapter the the 68-95-99.7 rule - 68% of all values will fall within 1 standard deviation ($1\\sigma$), 95% within $2\\sigma$, and 99.7% within $3\\sigma$.\n", + "Let this be our current belief about the position of our dog in a field. In other words, we believe that he is positioned at (2,7) with a variance of $\\sigma^2=2$ for both x and y. The contour plot shows where we believe the dog is located with the '+' in the center of the ellipse. The ellipse shows the boundary for the $1\\sigma$ probability, where $1\\sigma$ is one *standard deviation*. In other words, for this Gaussian 68% of the data will fall within this ellipse. Recall from the Gaussians chapter the the 68-95-99.7 rule - 68% of all values will fall within 1 standard deviation ($1\\sigma$), 95% within $2\\sigma$, and 99.7% within $3\\sigma$. The dog could be at (356443,58483), but values that far away from the mean are infitestimally small.\n", "\n", "An equivalent way of thinking about this is the circle/ellipse shows us the amount of error in our belief. A tiny circle would indicate that we have a very small error, and a very large circle indicates a lot of error in our belief. We will use this throughout the rest of the book to display and evaluate the accuracy of our filters at any point in time. " ]