From 9ed78ea6c0984024b855e4023f3c1c612b41e6bd Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sun, 31 Aug 2014 22:19:15 -0700 Subject: [PATCH] Fixed formatting that brok nbconvert. I am not sure what was wrong, but it couldn't handle the \latex symbol. --- Designing_Nonlinear_Kalman_Filters.ipynb | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/Designing_Nonlinear_Kalman_Filters.ipynb b/Designing_Nonlinear_Kalman_Filters.ipynb index 09b2925..60223b2 100644 --- a/Designing_Nonlinear_Kalman_Filters.ipynb +++ b/Designing_Nonlinear_Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:e015960709e549768dfdf9073da3f63db4cfe4874e8d964fd362f7902638377f" + "signature": "sha256:7cc2ec0d22bd73d36da7d0cba188abf9d87b484f02588427c8330d843bfbc48b" }, "nbformat": 3, "nbformat_minor": 0, @@ -250,7 +250,7 @@ "output_type": "pyout", "prompt_number": 1, "text": [ - "" + "" ] } ], @@ -393,13 +393,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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hdDaqkS0NkG+/BKlz14dmhiNmhAwMu/FPL5/AiDu4i/gzW8tx08LA2yNEFH2W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\n298AAAAASUVORK5CYII=\n", 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+PW5VeS4rwkRhajQh9rWHuLqxCz967Rg0bfJWKam5Id/+E+TFC17nRGwcxJ2f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"text": [ - "" + "" ] } ], - "prompt_number": 15 + "prompt_number": 2 }, { "cell_type": "markdown", @@ -469,7 +469,7 @@ "We continue this computation for the partial derivatives of the two distance equations with respect to $x$, $y$, $dx$ and $dy$, yielding\n", "\n", "$$\\frac{\\partial\\mathbf{h}}{\\partial\\mathbf{x}}=\n", - "\\small\\begin{bmatrix}\n", + "\\begin{bmatrix}\n", "\\frac{x_r - x_A}{\\sqrt{(x_r-x_A)^2 + (y_r-y_A)^2}} & 0 & \n", "\\frac{y_r - y_A}{\\sqrt{(x_r-x_A)^2 + (y_r-y_A)^2}} & 0 \\\\\n", "\\frac{x_r - x_B}{\\sqrt{(x_r-x_B)^2 + (y_r-y_B)^2}} & 0 &\n", @@ -484,7 +484,7 @@ "source": [ "That is pretty painful, and these are very simple equations. Computing the Jacobian can be extremely difficult or even impossible for more complicated systems. However, there is an easy way to get Python to do the work for you by using the `sympy` module [1]. `sympy` is a Python library for symbolic mathematics. The full scope of its abilities are beyond this book, but it can perform algebra, integrate and differentiate equations, find solutions to differential equations, and much more. We will use it to compute our Jabobian!\n", "\n", - "First, a simple example. We will import sympy, initialize its pretty print functionality (which will print equations using $\\LaTeX$). We will then declare a symbol for numpy to use." + "First, a simple example. We will import sympy, initialize its pretty print functionality (which will print equations using LaTeX). We will then declare a symbol for numpy to use." ] }, { @@ -813,9 +813,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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1akaBkj7ZqeRuE2Tku4lek/HJml+O+gIAAL9mGGp9++0K/+c/lf3xxyrv37/2bYhZ02tK\nnPAGAABwjIi//U3h//ynjBYttPvHvXr660KiN0DUG7+ZmZmaNm2aCgsLFRISonvvvVfnnXeeevXq\npR49ekiSBgwYoAceeMArgwUAAPA0W1qaWj32mLaHO/V/V83Qkn/ly3DnEb0Bot74tdvtevjhh9Wj\nRw9lZGRo3LhxWrt2rcLCwpScnOytMQIAAHiH262sex/S9M6XaEG7PjL2lhK9Aabe+HU6nXI6nZKk\nDh06qLy8XGVlZV4ZGAAAgDelZhTopb+t00e2QTLaWWW3WjR+KCeyBZoGr/ldt26devfurZCQEJWV\nlenKK69UaGiopk+frv79+3tyjAAAAB6zIy1Xj/9jvT74YuuRNb02TezVWnfeOoLoDUANit/s7Gw9\n/fTTmj9/viRp7dq1cjqd2rx5s6ZMmaKVK1cq5Ff3sj7q6FFjmIfD4ZDE3JkV82duzJ95MXfmVB29\na7bKMNyy26y6cUQ/zRw3WJ3bRfl6eGiAo/teY5wwfl0ul+6++27dd9996tSpk6Rfdu4+ffooNjZW\n6enp6tKlS633zj1y5xNJSkhIUGJiYqMHCAAA0Jzqit6bLztb9475DdFrAmvWrNHatWslSTabTQkJ\nCY16f73x63a7NXv2bF1++eUaMmSIpKo7ioWGhiosLEzp6enKzMxUhw4d6nz/5MmTazzOzc1t1ODg\nfUf/YsNcmRPzZ27Mn3kxd+ZQ53V6h/fUQ9cPU+d2UcrNzWUOTSA+Pl7x8fGSqva9lJSURr2/3vjd\nsGGDPvvsM+3evVsffPCBLBaLHnroIc2ePVshISGy2WyaN2+ewsLCmv4TAAAAeFCd0ZvQQ/d0cyju\nmxSFv75JlQ8+6Othwkvqjd/+/ftry5YttZ5fsWKFxwYEAADQHOqK3oldW2h21v8Ul5QkW15e9baW\n3bul55/34WjhLdzhDQAABJT6bkMc/+j9ikheIkmqOO00lf72twq94goZCQlScbGPRw5vIH4BAEBA\nSM0oUNLib5T89U8y3Krz5hTFY8eqvHdvuS68UBVdu0oWyy9X6SB+gwLxCwAAzMvt1p6vN+ulhV9p\ncaZkWCyyG5W60Z6tPzw3rdZ1esuGDFHZkZP4EZyIXwAAYEqpGQV6+bVlWrKrUIbFKru7Ujfv/04z\nWuUr9tJhKuIGFagD8QsAAEyl1ppeSTeE5Oru4V0Ve9njMtq0UZGvBwm/RfwCAAC/ZsnPV8SHH+r7\nhEv04uc76ziRrZ9OjWklSTJ8PFb4P+IXAAD4H7dbId98o4j33tPPn6/XjA6DtWC1W4bqPpENaCji\nFwAA+JXQL75Qq0cf1e6fczTt9EQtOOvWqjW9Vmn8UKIXJ4f4BQAAfmXnYUOvWHtrwcD4I9Fr0fih\nPYheNAviFwAA+EZJiRQeXv3wlxPZdsto1/fI8gaiF82L+AUAAN7jdsvx7beKfO89hS1bpqwvvtAO\nd/hx78hG9KK5Eb8AAMDjLIcOKXzJEkW+954cP/4oSdoe7tSDL/5LH+6rIHrhNcQvAADwuJbPPqsW\nf/mLJGnrKV306IBrtKgwXEZ6OdELryJ+AQCAxxWPH689P+7Vo91+qyVpZTIOuVnTC58gfgEAwMlz\nu+XYtEmhKSk6PGVKjZdSMwqUtPqAkkMvkPGziyO98CniFwAANJnl8GGFf/SRIt57TyFbtkiSSi+6\nSBU9etS+DTHRCz9A/AIAgCZp+cwzinzjDVmLiyVJRnS0iseM0Y4Si16Yv5rohV8ifgEAQNNYrbIW\nF8v1m9+oeOJEbT7nfCUt26rkZ9cSvfBbxC8AAKiXpbBQ7pa147Vo0iSVjBqlbS1iq5Y3/N9Sohd+\nj/gFAADHZf/xR7WeMkXZK1dKVmuN13aUO5T0+T4lr+dIL8yD+AUAAMfl2LZNjm3b1PLpp1U4a5Yk\ncSIbTI34BQAAx2XNzJQkWYqLiV4EBOIXAAAcly07W9vDnXroYActnrmY6IXpEb8AAKBOqRkFmr87\nVIsG3ikjxyq7TUQvTI/4BQAANdRc3tBadnelJvZqpTtvH0n0wvSIXwAAIKnuE9muO8Wq+4yf1eb6\nkaokfBEAiF8AAIJcQ05kq/TxGIHmQvwCABCkuHoDghHxCwBAkKkvek+rLFJoyucqGT1astl8PVSg\n2RG/AAAEibqid8KgLro3pljdvluhkKv/T47UVElSRZcuKu/Xz8cjBpof8QsAQICr70hvvym3KDQl\npXpbIyJCZYMGSYbhwxEDnkP8AgAQoFIzCpT04QYl/3e3DLfqXNNbOmyYVFkp1/nnq2zIEJWddZbk\ncPh45IDnEL8AAAQSw9Detf/Ti8kbtTjbIkMW2Y1KXd+qSLc/9odaJ7IV3X67im6/3UeDBbyP+AUA\nIECkZhTolZc/0Yd7S2RYrLIblbrlwEbNsKUr9vxLdZgrOADELwAAZmPNyJA9NVVlCQmS6ljTK+mG\n8HzdnXiGYkc8KqNdOx327ZABv0H8AgDg56x5eQpZv16hKSkKTUmRfc8eGZGRSvl8vZI+3VzvdXo5\nbQ2oifgFAMCfVVQodtAgWYuKqp/60dlJj/YdpQ/u/+i4J7IBqBvxCwCAP7Pb5RoyRNbCQm059wI9\nUd5BH20v+NWR3h5EL9AIxC8AAD5mzclRy6efVsmoUSq74IJar38z9zklffzdkeUN+RzpBU4C8QsA\ngK+4XIp86y21fPFFWQ8fluP775WzfLlksUiq/+YURC/QNMQvAADe5nYrbPlytXrsMdn37pUklf72\ntzr00EOSxUL0Ah5E/AIA4GWW0lJFPfigbAcOqLx7dx2aM0euoUOronf+aqIX8CDiFwAAL3OHh+vg\nww/Lmpur4okTlZp1mOgFvIT4BQDAB0pHjao60vvGOqIX8CLiFwAAT3C7Ffbpp4pYsEB577wjhYRU\nv8SaXsB3iF8AAJqZY9MmtXr4YYV+/bUkKXzJEpWMG0f0An6A+AUAoJlYDxxQqyefVMSiRZKkSqdT\nhTNmaPP5F7GmF/AT9cZvZmampk2bpsLCQoWEhOjee+/Veeedp2XLlikpKUmSNGvWLA0bNswrgwUA\nwJ+FfPONIhYtktvhUNEtt2jjmBv04uc7lTz7I6IX8BP1xq/dbtfDDz+sHj16KCMjQ+PGjdO///1v\nPffcc1q0aJFcLpcmTZpE/AIAIKn08stVePfd+n7oSD3/v2wlP7qC6AX8TL3x63Q65XQ6JUkdOnRQ\neXm5vvvuO8XFxalNmzaSpPbt22vbtm3q2bOn50cLAIAfS91/UEktBij5pa+IXsBPNXjN77p169S7\nd2/l5uYqJiZGCxcuVFRUlGJiYpSVlUX8AgCCRuhnn8laVKSS3/9ekrQjLVeP/2O9PvhiK9EL+LkG\nxW92draefvppzZ8/Xz/88IMkady4cZKklStXynLkHuTHOnrUGObhcDgkMXdmxfyZG/NnAm63bK++\nKtuMGZLdrvS4fnr8qwP6YM1WGYZbdptVN47op5njBqtzuyhfjxYNxL5nXkfnrjFOGL8ul0t33323\n7rvvPnXq1ElZWVnKzs6ufj07O1sxMTF1vnfu3LnVv05ISFBiYmKjBwgAgF+oqJB9xgzZXntN28Od\nemTUVL3/1Krq6L35srN175jfEL2Ah61Zs0Zr166VJNlsNiUkJDTq/fXGr9vt1uzZs3X55ZdryJAh\nkqQ+ffpo586dysvLk8vlUmZm5nGXPEyePLnG49zc3EYNDt539G+9zJU5MX/mxvz5L8vhw2p9xx1K\n/XKT5va+Wgti4mVkSXabNH54Tz10/TB1bhel3Nxc5s+E2PfMJT4+XvHx8ZKq5i4lJaVR7683fjds\n2KDPPvtMu3fv1gcffCCLxaI//elPmj59usaPHy9Juv/++5s4dAAAzGHP96m6N7utFg68U4bFemRN\nb4/qNb1OJ0d7AbOoN3779++vLVu21Hp+5MiRGjlypMcGBQCAP6hxRzbnmbJbLRo/tAcnsgEmxh3e\nAAA4BrchBgIX8QsAwBFELxD4iF8AQNCrFb2WqhPZiF4g8BC/AICgVSt6ZeiWjG8168DXCn/+XzII\nXyDgEL8AgKBTK3qtFt1YslsPbvxYncItynvrzyqLjfX1MAF4APELAAgada3pvbZfe81Z/Ly6/rxD\nFZ07K/vdd1XZrZuvhwrAQ4hfAEDAq+9Ets6F2Yp5K0tl/fsr7623ZHCLWyCgEb8AgIB1bPQ6bNYa\nN6eQpMqYlsr58ENVnH66FBbm2wED8DjiFwAQcOqK3gmJPTT1OFdvqOjZ0wejBOALxC8AIGA0NnoB\nBB/iFwBges0avYYhWSxV/wMQcIhfAIBpNfeRXuv+/Wp9110q+f3vVTxhggdGDMDXiF8AgOl4anlD\n6H//q9D16+XYuFFlAweqgkueAQGH+AUAmIan1/SWXHGFQv/9b0UsWaLWkycre+lSKTS0GUYOwF8Q\nvwAAv+fNE9kOPv64QjZskOOHH9TqiSd06OGHm/XzAfgW8QsA8Fu+uHqDu2VL5b/6qtpecYVavPmm\nSkeOVNnAgR75LgDeR/wCAPyOry9ZVn722To0e7YsJSUqO/dcj38fAO8hfgEAfsPX0auKCtnS0mS0\nb6+i22/3/PcB8DriFwDgc76K3rAVKxTyzTey7d4t++7dsu/dK0t5uXIWLlTZBRd47HsB+A7xCwDw\nGU9Gr+XQIdn37JF91y6V9eunyq5da20T9sknivj44xrPVXToIGtx8Ul9NwD/RfwCALzOU9EbsWCB\nwhctkn33btmys6ufP/jooyqqI35LR41SRc+equjSRRVduqjyjDPkDg9v8vcD8H/ELwDAa5oUvYYh\nW0ZGVdDu3l11JHfwYJWOHFlrU+uBAwr973+r3hYWpsozzqgK206d6vzo0ksvlS69tNl+PgD+j/gF\nAHhcU4/0Rvz974p68EFZXK4azxeVldUZvyVXXKGy/v1V0aWLjFNOkazWZv9ZAJgb8QsA8Ji6ondi\n31jd07FSZ2RukH1u1RKFsnPO0aFHH631fiM6WhaXS5WxsdVLEyq6dFF5//51fl/lGWeo8owzPP1j\nATAx4hcA0LzKy7V7R7peWPNTrSO901sX6qypt9Z6i9vhqPOjSocP1/5t2+Ru6YXLnAEICsQvAOCk\nODZsUPinn8q+e7d2/ZyjJ+xdtSAmXobFUmt5g23XLpXHxVWdXParI7kVdZyMJkkKD5fbuz8OgABH\n/AIAmszxzTeKueIKbQ93au7piVpwynkyLFY53IYmDO9Va01vZdeuyv7iC98NGEDQI34BAE32Y4du\numvoHfpAsTJkkcNq0YQLumnq78/1zh3ZAKCRiF8AQKPVOJFN7Y4sb+juvdsQA0ATEb8AgBMrK5Nj\n61b9GHu6T25DDADNhfgFANQr5Ouvtf+BeXrS1kUL254pwy2iF4BpEb8AgDpZCgq0/5Fn9PzmQ1oQ\nO7LqRDaLRROGEb0AzIv4BQDU8vPHK/XyG//Swqg4Ge2scljcmpAQx4lsAEyP+AUAVEvNKNCLH32r\n5PU/yR3dQw63oYnnnqI7r0skegEEBOIXAPBL9H65S+4ja3rH92mrO68fqlNjo3w9PABoNsQvAASx\n1IwCvbhkg5K/2l0dvWO5ZBmAAEb8AkAQSs0o0Ivv/1fJ/9srtyxEL4CgQfwCQBD5ZU3vLrklOQxD\nN2Zt0q3P3qUOZ/fy9fAAwOOIXwAIArXW9BqVuunARt3T+pCiX3tEFd27+3qIAOAVxC8ABLBa0Su3\nbsrYoPvyN6n1fXereOxYVVitvh4mAHgN8QsAAaiuqzeMTeyuuy7qoV5/Ttfhuz5Vcdu2vh4mAHgd\n8QsAAeR40fvrE9kOPfqoj0cJAL5D/AJAAKgVvW5D13ZvqTvuHMXVGwDgV4hfADCxuqL3pv3favbe\ndWpfEa/cmAm+HiIA+BXiFwBMqL7o7RRu0eHpdyrvhht8PUwA8DvELwCYSJ1rei/opoffeVRn5O/X\n4btvU+ZNN8ndkqUOAFAX4hcATOBEJ7I5Br2ozM6d5W7VytdDBQC/dsL4feqpp/TJJ5+oTZs2Wrp0\nqSSpV69e6tGjhyRpwIABeuCBBzw7SgAIUrWi1yqNHdaz1m2Iy/v08eEoAcA8Thi/I0aM0GWXXabZ\ns2dXPxdFevkUAAAczklEQVQWFqbk5GSPDgwAglntm1MYuinjW81w7VT4X1ZIISG+HiIAmNIJ4/fs\ns89Wenq6N8YCAEFve1quHn57Va3onb13nTpZy1R04406XF4uN/ELAE3SpDW/ZWVluvLKKxUaGqrp\n06erf//+dW7ndDpPanDwPofDIYm5Myvmz7y2p+Xq3rc+1cJVW6qi127VjUW7dP+3yTrN4lLl7bep\n/J57FNKundr4erCohX3P3Jg/8zo6d43RpPhdu3atnE6nNm/erClTpmjlypUKqeMoxNy5c6t/nZCQ\noMTExKZ8HQAErO1puXriH+v1wZqtMgy3HHarrh/RVzPGDtYZ366X5fMWKrv3XumUU3w9VADwC2vW\nrNHatWslSTabTQkJCY16f5Pi9+jfjPr06aPY2Filp6erS5cutbabPHlyjce5ublN+Tp40dG5Za7M\nifkzj9SMAiUlb1Ty+lQZR67ecNPIfpoxdrBa2CskVSh74EBp4MCqNzCnfo19z9yYP3OJj49XfHy8\npKq5S0lJadT7Gx2/BQUFCgsLU1hYmNLT05WZmakOHTo09mMAICilpmbo5b9+oSW7D8uQRQ6jUrdk\nbdItf31Uffv1lMQfwADgSSeM30ceeUQrV65UQUGBEhMTNWbMGC1dulQhISGy2WyaN2+ewsLCvDFW\nADCt1IwCJX30rZL/s1OGxSqHYejWAxt1X9b/dMo5Z+qgpczXQwSAoGDZvn272xMfnJaWpl69enni\no+FB/NOPuTF/fsDtlm3PHhlt2sgdHf2r5Q27ZLjdcsjQ9a69mnZWG7X77fkqO/fc6suWMX/mxdyZ\nG/NnXkeXPXTq1KnB7+EObwBwkqx5eQpJSVHounUKXbtW9vR0fT3nKT1V0fGX6LVZNSGxh6aO6qtT\nY6MkSRzrBQDvI34B4CREvv66Wj32mCzuqn9E2xbRVnP7jtXCNSUylPpL9B5zRzYAgG8QvwBwIoYh\na36+jDquAVoRFyeFhOj7AYma1/43Wpxrq756w4TE7kQvAPgZ4hcA6mDNyKhexhCakqLK009Xzscf\n19ruh259lTTtT0r+eq+MHDfRCwB+jvgFgF+xZmfLedVVcuzaVeN5d3i4VFZWfXJarRPZWN4AAKZA\n/ALArxht28paWCgjMlJl550nV0KCXAkJqujaVbJYiF4AMDniF0DwcbsV9tlncg0cKHfr1jVfs1iU\n8+GHquzUSfrVPeOJXgAIDMQvgODhdit01Sq1fPZZhXz/vQrvvluFM2fW2qzyV7drryt6xyf20F1E\nLwCYEvELIPC53Qpdu1Ytn3lGIRs3SpIqY2JU2bHjcd/CkV4ACEzEL4CAZ9+xQ84JEyRJlU6nDk+e\nrOLrr686ie0YRC8ABDbiF0DAq+jRQ8VjxqiiWzcV3XCD3JGRtbYhegEgOBC/AAJLRYVkr/1bW8EL\nL9S5OdELAMGF+AUQEBybNqnls8+qsmNHHXzyyRNuT/QCQHAifgGYmn3LFrV87jmFf/aZJMmIjtah\nBx+sc2mDRPQCQLAjfgGYk2Go9Z13KvyTT6oehoer6MYbVXTHHazpBQAcF/ELwJysVrnDw+UOC1PR\nddfp8J13yoiJqbUZ0QsA+DXiF4BpHbrvPh2aOVNG+/a1XiN6AQB1IX4B+DXbvn0KXblSxTfcUOs1\no127Ws8RvQCA+hC/APyWbc8etb3iCtlyclTWv78q4uOPuy23IQYANATxC8AvWbOy5Lz2WtlycuQa\nPFju6Og6t+NILwCgMYhfAH7HUlgo58SJsu/dq7KzzlLeX/9a6woORC8AoCmIXwB+J3raNDl++EEV\nZ5yhvHffrRG+RC8A4GQQvwD8TuE998i2b5/y33xThtMpiegFADQP4heA36no3Vs5y5dLFgvRCwBo\nVsQvAL+Uuv8g0QsAaHbELwC/wpFeAIAnEb8AfMftVsR770mGoe8v+h3RCwDwOOIXgE/Y9uxR9MyZ\n2vPdDj3WOUELVpbJcIvoBQB4FPELwLsqKhT55pva98pbmn7KIC0YcKEMi1UOq1UTErsTvQAAjyJ+\nAXjV/ieS9MKan7Sg3y1V0WuzcBtiAIDXEL8AvKL6RLbtrWS06yuHVZowtCdHegEAXkX8AvCouq/e\nwPIGAIBvEL8APCJ15z69lLxRH206wNUbAAB+g/gF0KxSMwr08mvLtGRX4ZE1vUQvAMB/EL8AmkVq\nRoGSFn6l5A0/y5BFDrdbN5Xt0R8e+4M69jzd18MDAEAS8QvgJP2ypje16jq9hqFbsr/XlNFnyXnn\nXMlm8/UQAQCoRvwCaJJaJ7JZpFsz/qd72rkU9dajqjztNF8PEQCAWohfAI1S99UbemjqqL7q+l1n\nuS66SJUWi6+HCQBAnYhfAA2ya9NOvfzuGn2435BhsdR5IptrxAgfjxIAgPoRvwCOy7Znj9IWL9Pz\nX2fqfUfHqqs3uA1N6uTQHfeO4eoNAADTIX4B1Ck1o0Dzn0jWosMRMkI6yWFU6kZ7pu66OE4xoy+W\nO5rwBQCYD/ELBLvKSllzcmS0ayfp2DW9LeSwGJrULUKTb7lIHTvFSpLcvhwvAAAngfgFgpHLpdD/\n/EdhK1Yo7F//UuXpp+ur1/5a94ls3JwCABBAiF8giFgOHVLU/fcr7PPPZS0slCRti2irR9VL789c\nTPQCAAIe8QsEEXeLFgr98ktZCwu1OX6gHou7UIsLQqpuTmG1EL0AgIBH/AKBZt8+RSxcWHW93Y4d\na75mterrOU/puW0l+uj7TBn5R4/0did6AQBB4YTx+9RTT+mTTz5RmzZttHTpUknSsmXLlJSUJEma\nNWuWhg0b5tlRAqiXbdcuha9YIcfKlbJ+841CJR0sLVXR7bdXb/PLiWw/sbwBABC0Thi/I0aM0GWX\nXabZs2dLksrKyvTcc89p0aJFcrlcmjRpEvEL+FDka68p6rHHqh+7w8NVOnSoKnr1klTPHdmIXgBA\nEDph/J599tlKT0+vfvz9998rLi5Obdq0kSS1b99e27ZtU8+ePT03SgDHVfab38iIilLphRfKMWaM\njIsuUn5JSVX0zl9N9AIA8CuNXvObnZ2tmJgYLVy4UFFRUYqJiVFWVhbxC3iANSdHoevWKXTtWlkz\nM5X3j3/U2qb8rLN0YNMmyeGQ0+nU9rRcPfIO0QsAQF2afMLbuHHjJEkrV66UxWKpcxun09nUj4eP\nOBwOScydT1VUyDZnjqyffy7rpk01XnIWFkqnn17n27an5WrGW59q4eofZBhuOexW3TSin2aMHazO\n7aK8MHCcLPY/82LuzI35M6+jc9cYjY7f2NhYZWdnVz8+eiS4LnPnzq3+dUJCghITExs9QCDo2O2y\nLl0q644dcoeFyX3++TIuvFDGRRdJnTvX2nx7Wq6e+Md6fbBm6y/RewnRCwAITGvWrNHatWslSTab\nTQkJCY16f6Pjt0+fPtq5c6fy8vLkcrmUmZl53CUPkydPrvE4Nze3sV8HLzv6t17mynOsWVlVSxnW\nrNHhP/xBFfHxtbYJmzVLRni4ygYMkMLDf3khL6/6l3WdyHbTyKrobWGvkFTBPJoM+595MXfmxvyZ\nS3x8vOKP/NnpdDqVkpLSqPefMH4feeQRrVy5UgUFBUpMTNScOXM0ffp0jR8/XpJ0//33N2HYQHBx\nbNqk8E8+UeiaNXL8+GP18xVduuhwHfFbevHFx/2s+q7e0K/n6ZL4DRwAgOM5YfzOmTNHc+bMqfX8\nyJEjPTIgIBCF/uc/avH665IkIyxMZYMHy5WQoNKLLmrwZ3DJMgAATh53eAOagfXAAYWuWycZhkrG\njq31eulFF8lSUCBXQkLVUobQ0AZ/NtELAEDzIX6BpnC5FLp+vULXrFHounVybNsmSao47bQ647ci\nLk6FjVwiRPQCAND8iF+gCayHDsk5cWL1YyM8XGXnnSdXQoJUWSnZbE3+bKIXAADPIX6BJjBiYlR8\n5ZWq7NixainDuec2ailDXYheAAA8j/gF6lNZKYvLJXdERK2XCl5+uVm+gugFAMB7iF+gHpFvv63I\nP/9ZBc8+q7IhQ5r1s4leAAC8j/gFjsOWnq6WTz0la3GxrEVFzfa5RC8AAL5D/AJ1cbsVNXu2rMXF\nKrnssnpvOtFQRC8AAL5H/AJ1CPvkE4WtWiUjKkoHH3vspD6L6AUAwH8Qv8AxLEVFinrwQUnSof/7\nPxmxsU36HKIXAAD/Q/wCx3BHRqrg+ecV/vHHKh4/vtHvJ3oBAPBfxC9QB9eFF8p14YWNeg/RCwCA\n/yN+gZNE9AIAYB7EL9BERC8AAOZD/AKSVFkp2WwN2pToBQDAvIhfoKJCba+4Qq6EBBXedZcUFlbn\nZkQvAADmR/wi6EX++c8K2bhR1qwsHb7zTrmPeZ3oBQAgcBC/CGq2vXvV8plnJEkHn3xS7sjI6teI\nXgAAAg/xi+Dldiv6vvtkLS1V8e9/L9fw4ZKIXgAAAhnxi6AV+sUXCl23TpWtW+vQI4/UGb3jE3vo\nLqIXAICAQfwiaLnOO0/lvXrp24l/0NPvf8+RXgAAggDxi6CVmluiqZfPUPLnaTLcB4leAACCAPGL\n4FBRIdmr/u/Oml4AAIIX8YvAZhiKePddRb79tr588+9K+nwn0QsAQBAjfhGwbHv3Knr6dO3ZtFOP\ndU7QgkeWy5CIXgAAghjxi8Bz5GhvxnOvaXq7gVow4CIZFuuR6O1O9AIAEMSIXwScn/79pea/t0EL\n+tx0JHotHOkFAACSiF8EkBonsrXrK4dVmjC0J9ELAACqEb8wPa7eAAAAGor4hSlZSkqU/ud/6Lkt\nhVpU1ILoBQAADUL8wlQseXna9/q7eiElTQuju8uwRMphk8Yn9uQ2xAAA4ISIX5jG/kee0fPr92mh\ns5eM1j3lcBuaFBepOyZfplNjo3w9PAAAYALEL/xe9ZreHVEy2kbLIUPX9W6tybeO0KkxrXw9PAAA\nYCLEL/xWXSeyTewbqzuvH8byBgAA0CTEL/yH263QVav00+fr9XinIVy9AQAANDviF75XUaHwTz5R\n+p/+pqcqT9WC2HgZP6cSvQAAoNkRv/Cp8MWLtS/pTT0Z2l0LYi+puiObxa1rh3TVlKsGEL0AAKBZ\nEb/wmdSMAr26LkeLO115JHqlCYndNfWKc4heAADgEcQvvK7miWw2OWyqWt7wu7OJXgAA4FHELzzO\nvnOnwhcv1sbrblPSJ5s4kQ0AAPgM8QuPcWzYoBbz52vv2v/psc4JWvDDhzLcInoBAIDPEL9odpa8\nPEVPn669Kd/qj50TtGDA5Ko1vVaLxif24DbEAADAZ4hfNLv0dxdrRlqLX6LXZuFILwAA8AvEL5pN\n9Yls/7PKaNeX6AUAAH6H+MVJq+s2xEQvAADwR8Qvmiw1o0BJH32r5C93E70AAMAUiF802i9HelOP\nXL3BogmJPYleAADg95ocv7169VKPHj0kSQMGDNADDzzQbIOCf6q1vMGo1K0HNmrqhXFqffMFvh4e\nAADACTU5fsPCwpScnNycY4GfqhW9bkO37v9Ws9L+o9bT71TR7bf7eogAAAANwrIHHFddJ7LdnLdV\nD2xdoVNbhSj/3TdUdN55vh4mAABAgzU5fsvKynTllVcqNDRU06dPV//+/ZtzXPCh7Wm5euSd1XVe\nvaHngrcVau+u7Ndfl9G+va+HCgAA0CiW7du3u5vyxtzcXDmdTm3evFlTpkzRypUrFRISUv16Wlqa\nhgwZ0mwDhedtT8vVUwu/1MLVP8gw3HLYrbp+RF/NGDtYndtFVW1kGFJlpeRw+HawqJPjyLyUl5f7\neCRoCubPvJg7c2P+zMvhcGj16tXq1KlTg9/T5CO/TqdTktSnTx/FxsYqPT1dXbp0qbHN3Llzq3+d\nkJCgxMTEpn4dPGh7Wq6e+Md6fbBma1X02iy6+RS37r1vjDr3PL3mxlZr1f8AAAB8YM2aNVq7dq0k\nyWazKSEhoVHvb1L8Hjx4UKGhoQoLC1N6eroyMzPVoUOHWttNnjy5xuPc3NymfB08pNaaXrl1y8Ft\nun/rCnV2HVT+YKdyY67y9TDRCEf/Usq+Zk7Mn3kxd+bG/JlLfHy84uPjJVXNXUpKSqPe36T43b17\nt2bPnq2QkBDZbDbNmzdPYWFhTfko+EBd0XtrxgbN3rtOnV0H5W7XTkXDR6rimCP5AAAAZtek+D37\n7LO1YsWK5h4LPMntVur2NCWt2lXrRLbprQvV+/XFKr3jRpVdfbXc55yjg/n5vh4xAABAs+NSZ4Gs\ntFSh69dr77Iv9Oz2Ur3fspsMi6X2bYjdbmVfOVKSFHLkn34AAAACEfEbgKy5uYqaOVN7vt6ix9sN\n1ILYeBmtrHK4KzVhaC9NveKcmrchtlh8N1gAAAAvIn4D0I4it/60P1oL+9wkw2KVw+LWxL4xuvOG\nYTo1NsrXwwMAAPAZ4tekbPv2KfLNN3X4tttknHKKpGNOZGvdUw6bpebyBgAAgCBH/JqMLTVVLefP\nV/iHH8pSUaGKrl31/W9H1boNMdELAABQG/FrEvbUVLV85hmF/fOfsrjdclut2jhqrObta6WPZi4m\negEAABqA+DUJa16ewj/9VG6HQ9/+/lo9fsogffR9pozNWUQvAABAAxG/JlE2cKC+mfmwnqzoqOSN\nGTKyDhC9AAAAjUT8+pPKSoUtX66y/v1ltG9f/XT1iWzfWGS49xG9AAAATUT8+oPycoUvWaIWr74q\nx65dOnzbbTr00EO1b0NM9AIAAJwU4teXSkoUsXChWrz2muz79kmSKk49VT+c0lVPz19N9AIAADQz\n4teH7Pv2KerBB2Vxu1XerZu+vf4OPV0co+Q1e2S4U4leAACAZkb8+lBFt246fNdd+qFTDz2T11LJ\nq3bLcBcSvQAAAB5C/HqBdd8+WSRVduxY4/nUjAIltRig5H/ukuHmkmUAAACeRvx6kG33brWYP18R\nixerZNQoFbz8siRxIhsAAICPEL8eYP/hB7V85RWFffqpLIYht9UqSUpNz1PSJ5uIXgAAAB8hfpuZ\n5eBBxYweLUtpqdwOh4rGjdPGqyfphQ05Sp61hOgFAADwIeK3mbmjolR0441Sebk2/v5avbh+n5Jf\n/i/RCwAA4AeI3yaypaXJcviwKnr1qvXatzdNqVrT++xaohcAAMCPEL+NUVmp0NWrFfnuuwpdtUpl\n55+v3Pffr36ZE9kAAAD8G/HbAJbiYkX+5S+KeO892dPTJUnukBBVxsZKFRVKzTpM9AIAAJgA8dsA\nbptNkW++KVturio6d1bxxIkqHjtWO1w2Jb2xjugFAAAwCeK3IUJDdejhh2W0aSNXQoJSDxxS0vsc\n6QUAADAb4vcIx6ZNinj3XZUNHKiSsWNrvV5y5ZVVa3pfX0P0AgAAmFRQx6+lpERhH3+syHffVcim\nTZKkkM2ba8UvJ7IBAAAEhqCNX9uePYoZOVLWQ4ckSUZ0tIrHjFHRxInV2xC9AAAAgSVo47eyc2cZ\nTqcqunZV0aRJKhk1SgoPl0T0AgAABKqAj19rXp7cktxt2hzzglXZn34qd3R09VNELwAAQGAL6Pi1\n/fSTnBMmqHjMGB2eNq3W60fDl+gFAAAIDgEbv/YtW+ScOFG27GyFbNggud2SxVJjG6IXAAAguARk\n/IasX682N90ka2GhXOefr/z582uE77HRa7dZND6xp+4iegEAAAJawMVv6OrVanPzzbK4XCq5/HLl\nv/SSFBoqiegFAAAIdgEXvxVxcTJat1bpxRfr4Ny5ks1G9AIAAEBSAMZv5amnKnvFChlt2yp1/0Gi\nFwAAANUCLn4laUe5Q0mvfUH0AgAAoAZzx295uWS3V5/MxvIGAAAA1Me08WspKlLrW29Ved++2jjp\ndqIXAAAAJ2TK+LXm5anNdddpz/Y0PXqwgxZuWSTDLaIXAAAA9TJd/NrS05U96Xbda+2iBQNHy7BY\nZbdaND6xB9ELAACAepkqfn/6cpNenfeeFrYf9Uv0DiV6AQAA0DCmiN9fTmRLlRHVXXa3oQlDumjq\n1QOJXgAAADSYX8fvsVdvcNismtC/o6Zeea5OPTXG18MDAACAyfhl/NYZvYk9NJXlDQAAADgJfhW/\nRC8AAAA8yS/il+gFAACAN/g0foleAAAAeJNP4pfoBQAAgC80OX6XLVumpKQkSdKsWbM0bNiwE76H\n6AUAAIAvNSl+y8rK9Nxzz2nRokVyuVyaNGlSvfFL9JrLjz/+qNjYWF8PA03E/Jkb82dezJ25MX/B\no0nx+/333ysuLk5t2rSRJLVv317btm1Tz549a2xH9JoTvwGYG/NnbsyfeTF35sb8BY8mxW9OTo5i\nYmK0cOFCRUVFKSYmRllZWbXid9jMxUQvAAAA/MZJnfA2btw4SdLKlStlsVhqvW6zWXTTiH6aMXaw\nOreLOpmvgpc4HA4NHz5c0dHRvh4KmoD5Mzfmz7yYO3Nj/szL4XA0+j1Nit+YmBhlZ2dXP87OzlZM\nTM3bDRcWFmr5rPMkSWk7NyttZ1O+CQA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lqokyMjJYPx/Ez57viYmJUUxMjKRz67dhw4Yyf0aJMTx9+nRZLBbNmDGj0OND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\n4TIodGJci95EMAAAgI8jhotimrJv3Ki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