From 5ffe5c67eb2434840935f8a119e1597c14176ace Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Wed, 17 Jun 2015 09:12:31 -0700 Subject: [PATCH] Added UKF/EKF comparison. Had to adjust some examples and rerun notebooks in several places to account for some code chantes that I made. --- 08_Nonlinear_Filtering.ipynb | 124 ++++++++--- 09_Unscented_Kalman_Filter.ipynb | 2 +- 10_Extended_Kalman_Filters.ipynb | 208 +++++++++++++----- .../Computing_and_plotting_PDFs.ipynb | 86 ++++---- code/nonlinear_plots.py | 89 +++++++- code/particle_filter.py | 36 +-- 6 files changed, 388 insertions(+), 157 deletions(-) diff --git a/08_Nonlinear_Filtering.ipynb b/08_Nonlinear_Filtering.ipynb index 871bf3a..e0f0086 100644 --- a/08_Nonlinear_Filtering.ipynb +++ b/08_Nonlinear_Filtering.ipynb @@ -370,9 +370,9 @@ "outputs": [ { "data": { - "image/png": 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/eJ5HRITW7fkFBirLVgoLeWRlqbB9u4CxY83o2pVhw4bbyMkp/YbgiSes+Otf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\nTtXp06ddqDT8rF27VpMnT5bX65XP51NWVpZOnTp1xzj6176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glz9xQsgKT5qk5ffseSrJOAYFGSX7SE3VSjKU69fn8Bs35ogZzIULc/m1a4Wf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\nMds0Tbunp8e2bXpkqlu0aJFdUVERNeb3++2NGzfGqSJMJL2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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -423,16 +423,16 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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MSNjRTGzbZu0BIGAYYQeAaVRGGikVQLMwDVOZbMrvMABMQMIOANOojDTSwhHN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\naZiKDfx/kqRIW7t3fq4k7LM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GkLADKFjZhL38s4Tdtm1FB3tlpS2Zhs/N0G6K/sGI4r6YBpOfv2EhYQeA/MNnpwAKmm3b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\nGaVp/bnjjCrKK50NjALhTiW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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -460,7 +460,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true @@ -470,19 +470,25 @@ "name": "stdout", "output_type": "stream", "text": [ - "6069\n", - "0.398942280401\n" + "6687\n" ] }, { "data": { - "image/png": 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FpeVFWQn+Z3KlDBJdgiAmjKZpCIVC6OrqgtfrzWxdXV0ZgU0XcGVZFqVlJbA6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\nrt/vx80334y1a9fij3/8I4q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0VZRVFeNq4XkUlefi4o2TDY5RyFQY2f0BBHToauN0RG3D/vTvG/3/AwACBHR0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\nnudx5swZxbEajQYvvPACzGYzJk6cCLVaHehdTwghJHhkWUZ1QzlqGir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"text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fuck\n" + ] } ], "source": [ @@ -510,20 +516,34 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7451\n" + ] + }, { "data": { - "image/png": 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B8FMHW93nD0JCbq05z9uUExG1Dyyqm6lOW4sjF7fhQl5Kg/2CIMOAwFj06hgF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\nzBQKBSEB4YQEhLNy0QYA+uw26luqqWkqo7a5nNqzldS3Vl/SFGad3e1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FCv3DHq2076fD36BcV2blRERERPQgWFRTjaVn3cCW/atN2nw8/RHV9xmZEtmXwT0eR8vm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\nJrMRo6kIo6kYo7kYk9mIyVyMyWzCZDGWvi59WIyYTMWYrWY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"text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fuck\n" + ] } ], "source": [ @@ -538,7 +558,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This result may be somewhat surprising to you. The transfer function looks \"fairly\" linear - it is pretty close to a straight line, but the probability distribution of the output is completely different from a Gaussian. Recall the equations for multiplying two univariate Gaussians:\n", + "This result may be somewhat surprising to you. The function looks \"fairly\" linear - it is pretty close to a straight line, but the probability distribution of the output is completely different from a Gaussian. Recall the equations for multiplying two univariate Gaussians:\n", "\n", "$$\\begin{aligned}\n", "\\mu =\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2}\\mbox{, } \n", @@ -552,20 +572,34 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7324\n" + ] + }, { "data": { - "image/png": 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/Rt/IYbh/2Cz+skNERA6PRXUT6A06LPv9nxYFdUhAFwzrOV6mrIhaBieVM7p0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fOH7pAErKDO++WFiSj5Rbl/WPE1MvYGfMT3BTtYavR2cE+PRAZ69g2NvyIkci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\naS321PR23qRR6/DXGdBf/vHXGdBq9Og0fui0fmjVfqhV6jo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5ubl88MEHrFy5kueff57n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"text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fuck\n" + ] } ], "source": [ @@ -584,7 +618,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -593,8 +627,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "input mean, variance: 0.0036, 0.9998\n", - "output mean, variance: -0.1305, 2.4019\n" + "input mean, variance: -0.0019, 0.9983\n", + "output mean, variance: -0.1220, 2.4022\n" ] } ], @@ -614,16 +648,23 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6687\n" + ] + }, { "data": { - "image/png": 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g6p/gaOesc3tBWQ6+2vU+FDU3DZyMiIiIOopFNXXY5evnkXD6J422aaMfweiQiRIlMh19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\nQmCC\n", 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mUCpUGBgxymTfL/tWoKa22sKJiIiI6G6wqKZGy86/gvW74g3avN39EDvgcZkS2ZbhvR9G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\n1KmsXLmS9PR0unXrVukx6d8bD7/fh9dfWmrO78Hrc+Pxu0tqNZcmz26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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -633,7 +674,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "output mean, variance: -0.0055, 2.2496\n" + "fuck\n", + "output mean, variance: 0.0028, 2.2462\n" ] } ], @@ -656,7 +698,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -665,8 +707,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "linear output mean, variance: -0.3155, 7480.4651\n", - "nonlinear output mean, variance: -9.7978, 30473.9682\n" + "linear output mean, variance: 0.1624, 7469.2910\n", + "nonlinear output mean, variance: -8.7963, 30432.7878\n" ] } ], @@ -694,20 +736,34 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "79428\n" + ] + }, { "data": { - "image/png": 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EWuZRo/1qR0880vxRNGsUDEEQLJyuboKDg3Xfq9VqGZMQEZGlcKb6AVVqKnA9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\nIaSHaVyfaqlUCj09PRgaGvIdpV+pqalBYmIipk6dqtI+depUxMTE8JS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ERET1J+ttylNTUy25a5PILEjD7+d+hSTpal1HgICIwN5o7/8Y7JWOFkxHZP0k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\n228RHByscMlz0rwKCgogkUhgYWEhV25ubo68vDyeoiLKhISEoG/fvhg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N1NGTGISRSSM335daS3TmjB9ERO3AJEEbFoM1bWR+EKJS91CpuYhC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\n3/zmN/jDH/6wsK1SqaygbCIiIiKi9jI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A15a7qDn8dZXPOWN2iDMa9AS8DgJex4jHc/nCUNjuHojRffiyZyBxwqPeIwVuv9vG4pYK\nFjdXsrilgirf0WFbKajEklmiyQzxVI5k9l1hOp9Ep1dxWI243EaqrPZhZR6GSVoLLk6N3WIkk8uQ\nzuYBCddifJWmsE0IISaApmn0DMTZdqBvKFCfapiuLXfRWutjVk1ZsVShugynzTzGPZ5+zCYDTVXe\nEWtd46ksbT3hwyU4xctDocQJ/d7BWJqXt3bw8tYOAMo9dhY3VzC71kdDpQezyUAykyORS5DMJUnk\nEqArYLcZcbiMVNjs02IVE3FizGY9sXSOTE4pdVfEDCDhWggxrSTTOV7fc4jNu7t5a38foXj6pH/H\ne4N0S3UZDgnSY85lt7CktYolrUdWk0qkc+zvDp1w4NY0DaWg0tkboa0nhKKqFFQFh91ATaWFBc0e\nFreWUe+3YjHPjE8TxNGMBj0FtYBSGHlBBiHGkoRrIcSU1xtKsGlXN6/t7ObtA30nteKF1WxkYVOA\nRc0VzK33S5AuMafNfMzAvfvgINsOFD+BSGbyKAUVpVAohiZVoaAVAA2DQU86V6C9O09HT4IXXj1E\na4OLhbO8LJpVhtcl/78zjaaBDt2kXfpRTC8SroUQU46qauztGmTTrm427eqmPTj6skjvZjUbWdBY\nnBS3uLmCWbW+STu5UBRZzUbqAm7cDgtz6/2sWNrI7p4guw/2sb8nTO9gHr1Ow2zQjxielILKrgNR\ndh2I8rsXO6irdBwO2l5qK+yyNvUMoKoaep1e/q/FhJBwLYSYEvJKgTf2BnltZxebd/WccO20xWRg\nQWOgOPmtpZJWCdNTQiqTJ5rMEElkiKezJHNJkvli/bTOoFJba2RuazUOWz2FgkZHMMm+gzH2H4xz\noCeBctQa5Ed09Sbp6k3y/IZuvC4zC2d5WTjLy+wGt9w3pqlsvoDZYMNaojXUxcwi9zIhxKSlqhpv\nH+hjzdZ21r19kET6xHY+rAu4WDa/jnPn1jC3oVwC0xSgaRqJdI5IohioE5kM8VyceDZOVs1gtxhw\nOoz4y61HrcRiNOqYVediVp0LLiiun93ek2B7W4Tt+yIMRI79RiwSz7F+ax/rt/bhsBk5a56fc+b7\n0TRNRjmnkUy2gNtYXD9eiPEm4VoIMel09kZ5ZksXr7cNohn3Hfd8vU7HwqYA582v5bx5tdSUuyag\nl+J0qapGLJUlksgQTWRIZFPFQJ1LoGo5nHYT5X4jDpvrpIKuyahndoOb2Q1uPnxZPb2DGba3RXh7\nX5j2Q0mOtZB5Mq2w7o1e1r3Ri4E08xptBKoyBMqsY/UnixLQNI1UpkCl14rdKuFajD8J10KISSEU\nS7PmzXZe3tpO26EIkUgE4JhbidstJs6eU8V582pZOrcGl/3ENj0RpaUUVKKHR6ejyQzxXJJENk4i\nl0BvUHE5TNR4TVgtYxNodTodVeU2qsptLD+vmngyz44DEbbvj7DrQHSELeyLIokCr25PsL3jLRqq\nnJyzwM9Zc324HBLOpppkWsGst+K22aUsREwIuZcJIUomk1NYv62T1Vvbeaut97g7I7rtFi5eXM8F\nC+tZ1Fwh5R5TRDanEE0WR6hjqQzxbIJ4Lk4yn8Bs0uFymGgYodxjPLgcJpYtCrBsUYC8orK3M8Zb\ne8O8tTdMOjPyGsidwQSdwQR/eLmTuY0ezlng54zZZbJO9hQRSeTwWsvxy86MYoJIuBZCTLiu/hjP\nvrqXl944QDKTH/Vci8nA+QvquGxJI2fNrpZAPUWkMvmh+ul4JkMiGyeei5NW0tgselwuE5U2x7Bd\nESeayahnQYuXBS1ePra8kZ0Hory+c5Dt+yMjnq+qGjsPRNh5IILDZuS8RQEuXBKg3CtlI5NVQdVI\npgrU+j2y7bmYMBKuhRATolBQeW1nN8++tpc39/eOeq5ep2NurZtzZvn59EeWY5NJSFNCMp0jnMgQ\njqeHTUjMqRkcNiMer5Fam3NSrjVsNOpZPLuMxbPLSGcU/vjiVnZ1ZIgcYw+iZFph9eZDrN4SZH6T\nh4vOrGB+s2dS/m0zWSSew2l24XXaMBllEyExMSRcCyHGVSiW5s9b9rNq0z4GY6Pvljirpowrzmzi\nkjMaaduzHUCC9SSXyuQJx9OE4mnimTTxbIxYLl6ckOgwESg3Ybee3ITEUrNZjSyeZWfxLDvVtbP4\n664QW3YMEBwY4f6rHRnNLnNbuHBJgPMXB3Da5X5bakpBZTCSpdFTQ8Az8twNIcaDhGshxJjTtOIS\nes++tpeN27tG3THR47Cw8pwWrjy7mfoKz1B720R0VJySdDZPKJYmnMgQT6eJ5WLEsjFULYfLYaLa\nY8JmnR6lEmVuC8vPq+bKc6vo6U+zeccAm94eGLE+OxzL8szaLp7f0MOSOWVcdGYFTTXOKfXGYjrp\nC2XwWnxUeNx4nNPj/iimBgnXQogxoxRU1mxt58m1O+nsi4167oLGcq5ZNpsLF9XLx7VTQCanFAP1\n4RHqWDZOLBtFeSdQB6ZPoB6JTqejtsJObUUD11xUyxu7Q6x7o4+u3uRR5yoFldd3DvL6zkFqK+xc\neW41S+b6MEjJyIRJZRRSKY1Wfzn1AXepuyNmGAnXQojTlskp/Hnzfp5at4v+aOqY51nNRq44s4n3\nL2ulubpsAnsoTkU2pxCKpwnHiyPU0WyMeDZGXsvispuoDJiwT+NAfSxmk2FoxZHOYIL1W/v4667Q\niLtCdvelePSZ/Ty7rosrz6vm3IXlssrIONM0jeBAmkpnNTV+NxZZfk9MMLnHCSFOWSKd45mNe/jj\nhj3EUtljnlcfcHPN+bO54swmHDbzBPZQnKxsThmalBhLpYnl4sQyMfJaBqfNSKDcjMMmI4HvaKhy\n0vA+Jx+6rIFNb/ez4c3+EXeEHIxmeeKFdp7f2MNl51Ry4ZIKrGb5xGY8hGM5jNgod5ZR5XOWujti\nBpJwLYQ4aaFYmj+s38Vzr+0jnRt5bWCDXsf5C+q4ZtlsFrdUSN3pJJbLFwjHizXU0dThSYnZONlC\nGpfdSLnfdNK7JM40DpuRK86t5rJzqtjTEWPd1j62t0WO2g0ylsjx9JqDvPjaIS4+s4JLz66UyY9j\nSFFUBiM5Gj3N1Afccp8VJSHhWghxwg4NxnnylZ385Y0Dx9zZzmw0sHJpCx+5eB6VMmo0aamqRjie\nZjCWJpI8EqgzhRROuxG/TwL1qdDrdcxr9jCv2UNfKM1Lm4Ns2TFAoTA8ZKczCi+82sPLW4Kcf0aA\nK8+txuuST3VOh6ZpdPWlKLP5qfC4ZBKjKBkJ10KI4+oNJXjsxW2sebMD9RjbKNotJq5Z1sqHL56H\nV17UJq1YMstgLFWcmJhNEMlGSeWTOGwGyspMOO0SqMdKhc/GJ69u5n0X1vLy60E2bO076k1pXlFZ\n+9de1m/t47xF5Vx9Qa2E7FMUHEhjxE6Nu4LGKm+puyNmMAnXQohjiiQyPL56O89t2odSGHmk2uu0\n8uGL5vL+81qlnnqSSmfzDMbShGJpYpkE0Uxx6TyLBTwuM9UOp6xkMY68LjPXXd7AymU1rP1rL6+8\n0XvUUn6qqvHqW/1s2THIpWdVcuV51Ths8hJ9okLRLJmMnuayGlprfbKTqygpeeQKIY6SyuR5at0u\nfr9uF5lj1FRXljm4/pL5rDinBbNJJmZNNkpBJZrKs6O9n1g6RTQbI5qJgl7B4zTRHLDLqhUTzGEz\n8r6Larn83Cpefaufl7cEiSZyw85RFJWXNh9i47Z+rjy3ikvPrpTH13Ek0wqhqEKjp5GWap9sPCVK\nTsK1EGJIXinw7Kt7efzlHcdc/aOhws3HLlvAJWc0yujQJKOqGpFEhsFYij09URJKkqTDQE5N43KY\nqKkwYbPaSt3NGc9qNnD50iouPrOCLTsG+cvmQwyEh68wks4oPLO2i7Vv9HH1BTWct6hcHm8jyOUL\n9PSnqHU10BDwUeaS+7coPQnXQghUVePlre089uJb9EVGXqe6wmvn5pVncNmSJvRSQjCpxFPZ4sTE\nRIZoOkY0G+Ng6iBWC/h9VTIxcZIyGvWcf0aApQv9bHp7gOc39hB7z0h2LJHjiRfaWb0lyAcuruOM\n2WXy+DtMVTW6elMEbJXUeMuoKXeVuktCABKuhZjRNE1jy+4eHnn+TTp6oyOe43FY+MQVC3nfea2y\nk+IkkskpDEZThOJpYukk0WyMWDaKyVSs8a2rMKLX62SZtynAaNBz4ZIKli7ws/aNPv6y6dBRNdkD\n4QyPPL2PukoHH7y0njmNstZ4T38Ku8FNtScgm1KJSUXCtRAzVM9AnAf/9Dqv7zk04nGb2chHLpnH\ndRfPkxrGSUJVNULxNAPRFNHk4TrqbBSVHF6nmUa/bag+t0dGN6ccs8nA8vOqueCMAC9tOsSav/Ye\ntetjV2+SB57YxeLZZVx3eQM+j6VEvS2t7r4UmmKhtqyaWTUymi8mFwnXQswwmZzCEy9v5/frdo24\nVrXRoOf957VywxULZUm9SSKZzjEQTTEYSxHLxolkIqSVFG6HiaoZugX5dGa3Grn20nouPquSP2/s\n4bW3+1HV4UtgbtsbZteBKCuW1XDFuVUzanJqd18KNW+m0dvA7Fq/bG8uJh25RwoxQ2iaxsbtXfzs\nmb/SHz26rlqngyvObOLG5Ytl85dJQCmoDEZTxVHqdIpoJko0G8FsBq/HTK3dJaN105zXZeaGq5q4\nfGklz67v5s3doWHH84rKc+u72LxjgOuvbGB+8/Rf2/ndwXpOnV+W/xSTkoRrIWaA7v4Y//X067yx\nLzji8cXNFXzhg+fQJBsvlFwsmWUgmiIUTxHNxIhkIuS1DB6naVjZh5g5Knw2Pv3BVjrPTfDkXzrp\nOJQYdnwgnOHB3+1hUWsZ113RgH+alopIsBZThYRrIaaxdDbP46u389T63SNuAuNz2fjsNWdxyRkN\nsppECeWVAgNDo9QJIpkI8Vwcu1VPud8sq30IABqqnHz1U/PZtH2AP71ykGR6+KTHt/eF2dUeZcWy\naq48t3palYpIsBZTyajh+u677+bJJ59kz549WCwWzj//fO6++24WLlx4zJ9pb2+npaXlqPZVq1Zx\n1VVXnX6PhRDHpWkaG94+yM+efYOBEUpADHodH75oLp+8cpFMViyhaCJDfzRFOJ4imo0SyUQokMPr\nMtMScGCcRuFIjA29Xsf5iwMsbi3jufXdbHizD007Uo+tKCqr1nez+e0BPnJlIwtnTf1PoyRYi6lm\n1HC9Zs0abr31Vs4991xUVeW73/0uK1asYMeOHZSVjb7szfPPP8+SJUuGvj/e+UKIsRGOp/npHzbz\n6o7uEY+f0VLBFz+4lIZKzwT3TEBx04t3RqljmQThTIR4NobTbqSi3IzDJpMTxfE5bEY+tqKR888o\n53cvdtDeM7xUZDCa5We/38PZ8/1cf2XjlN1KXYK1mIpGfbStWrVq2PePPvooHo+HDRs28IEPfGDU\nX+zz+aioqDj9HgohToimaax5s4P/evp1EuncUcf97mIJyMWLpQSkFCKJDP2RJJFEmsjhUWpNl8fr\nMlNR4ZTd98Qpqatw8JVPzmfLjkGefuUgiVR+2PG/7hxkb2eMj69oYvHsqTPIpaoaPf3F5fYkWIup\n5qTeysZiMVRVPaFR6Ouvv55MJsPs2bO57bbb+OhHP3rKnRRCjG600WopASkdpaAyEE3RH0kSTRdH\nqRO5OE67gaqAWZbQE2NCr9dx3qJyFrV6eW59N+u3Di8ViSfz/O8f9k6ZUWxFUTnYm8Sqd1FXVsPs\nWgnWYmrRae9+BB7HDTfcwP79+9myZcsxR74GBwf5+c9/zkUXXYTRaOQPf/gDd911F4888gg33XTT\n0HnR6JHd4Pbu3Xsaf4IQM5emafy1LcSTr3aSyipHHW+qcPKJi5qoKrOVoHczVzqnEE7kiCSzJJQk\n8VwM1ZDHbTfgtOllCT0xrvrCeZ7fFKU/cvRzgsOqZ/k5blrrJucbu1xepS+s4NR7CTh8NJTbMcvO\nsGKSmT179tDXHs/RJZYnHK5vv/12Hn/8cdatW0dTU9NJdeLWW29l7dq1vPnmm0NtEq6FOD2xVJ7f\nbmxnW0fkqGNGg473n13L5QurJMhNEFXViKXzhBNZ4pkscSVGQklgMYPbYcBmkbIPMXEKqsamHUle\n25FAHeFRk86/AAAgAElEQVRVfl6DlSvOdk+q+2U6qzIQLuCz+Cm3e6jz26VcSkxKYxKub7vtNh5/\n/HFWr17NnDlzTroTjzzyCF/60pdIpY6sWvDucD1Sx8bKli1bAFi6dOm4Xcd0Jrff6RmP20/TNF45\nXFsdH6G2el6Dn6999HzqAu4xu85SmCr3vWxOoT+aYjCaIpKOEc6EyRRSeJwmytyWki2HtmPnDgAW\nzF9Qkuuf6qbL7dfVl+RXzx2gp//oVYNcDhM3rGxiUevY1mKfym0XiefoD+Woc9dR6/PRVOWdsXND\npspz32Q1Ebff8TLscQuvvva1r/HEE0+ccrAG2Lp1KzU1Naf0s0KII+KpLD95chMbd3Qddcxk1HPz\nijO47uJ5Mlo9Ad69jF44EyGcCWM0qpR5zNQ5ZF1qMTnUVTi47eYFvPjqIV54rWfYNurxZJ7/eWov\n5ywo52PLG7FaSlN+0RdKE09Ao6eJxgofNeWukvRDiLEyarj+8pe/zC9+8QueeuopPB4PwWBxdzeX\ny4XD4QDgjjvuYPPmzbz44otAcZTabDZz5plnotfrefrpp/npT3/KvffeO85/ihDT2472fn74mw0j\nrls9t97P1z66jPoKWV5vPBXemaAYTRFNJQhnwsQPT1Csq7SULJwIMRqjQc/7Lqpl0WzviKPYr+8Y\noKMnwS3XzqK+yjFh/VJVjZ6BFIWcmWZvHS3VPvwe+4RdvxDjZdRw/cADD6DT6Vi+fPmw9u9973t8\n97vfBSAYDNLW1jZ0TKfTceedd9LR0YHBYGDu3Lk89NBD3HjjjePQfSGmP1XV+O2aHfzyL9sovKd4\nUkarJ0Yqk6c/kmQwliKSiRFOh1DIUua20FLhkLpQMSWMNoo9EMnw41/t4EOXNXDJWRXj/smLUlDp\n6k1h1jlpKKuhtdaHyz49t20XM8+o4VpVj94u+b0eeuihYd/fcsst3HLLLafXKyEEUFxi774nNrJ1\nX+9Rx+bU+fiHj50vo9XjRNM0IokMfeEk4WSScDpCJBPBZtVR7jfjtE/tmnYxM717FPuXzx3g0LtG\nsQsFjd+/1MHezhifvLp53JbsS2UUevrTeM0+ar1VtNb6sJon9/KAQpwMuTcLMUlt3Rfkvsc3Ek5k\njjp2/SXz+JurlsiI6Th4p/SjL5Ikkk4QSg2SLiRxO0w0+W2YTVL6Iaa+ugoHt920gKdWd7Lhzb5h\nx97eF+Zf+1Lc8oEWmmvHtv55MJolFMlT7aqlyl3GrFqfPI+JaUfCtRCTTKGg8quX3ubxl7fz3rV8\n3HYLt338fJbOlQnCYy2XL9AXSdIfSRJORwmlB1F1efweCzUOl5TdiGnHZNTz8ZVNzG5w85vnD5DJ\nFYaORWJZ/uM3u3j/RbVceW71ad//C6rGof4USs5Ik7eJ+vIyaspl4q+YniRcCzGJDERT/PDX69nR\nMXDUscXNFfzjDRfIhJ8xlkzn6A0nGYwli6t+pEOYLRoBvwWnfXJutCHEWDpzro+6SjuP/qmNzmBi\nqF1VNZ5Z28W+g3Fuen8LLsep7fCayRbo6kviNHpp9FfRXFWGxymPLTF9SbgWYpJ4fXcPP3p841Fr\nV+t08MkrFvHJKxfJ6OkYiiQy9IYShJNJBlMhYrlocdWPaitWs5R+iJml3GvlK5+axzNru3h5S3DY\nsd3tUX7487e55dpZtNaf3FyDcCzLQDhHlbOGKo+fluoyKa0S056EayFKTNM0nlq3i4dXvYn6njoQ\nn8vGP95wAWfMqixR76YXVdWO1FOn4gymQ6SVBF6XmZaAA2OJNnwRYjIwGvR8+PIGWuvd/GpVG8n0\nke3T48k8Dzyxm48ub+TCJRXH/V2qptHdlyKX1dPoaabW76W+wi1lIGJGkHAtRAnl8gXuf2oTL73R\nftSxc+ZU8w8fOx+vfHx62vJKgb5wsrjpS6pYT13Q5fC5zdQ4pZ5aiHdbOMvL129ZxKPP7KetKz7U\nrqoaT7zQTk9/muuuqD/mRMScotIXVvCX2Znlq6Gx0ovPbZuo7gtRchKuhSiRUCzNXb94hT1doWHt\nep2OW646g49cMl9C32lKZfL0hhMMxoq7KIbSIUwmlXK/BadddoET4li8LjN/f8M8nt/QzQuv9gw7\ntn5rL72Daf72g7Nw2ofXYUcTOYIDBcrMflr8DbTUlMkye2LGkXu8ECWwt2uQu36xlsFYeli7w2ri\nnz55EWfPqS5Rz6aHaCJDbzhJKJEglA4TzUZw2GQXRSFOhkGv45qL66itsPPYs23klSN7X+w7GOPf\nHtvB3103m5qAHVXV6B1Mk0rrqLJWE3A5mNdQLgMEYkaScC3EBFv9xgF+8vtNw16oAOoCLr5986XU\nBmRzklMViqUJhhKEk8V66mQ+jtdlorncgUnqqYU4JUvm+Cj3Wvmfp/YSjmWH2gejWX78y518fEUj\nXrcZp9HDLF8l4WwHXodZgrWYsSRcCzFBVFXj539+k9+9svOoY0vnVvP1Gy7EYTOXoGdTm6ZpDB4O\n1aFkjMHUIDk1hc9jodol9dRCjIXaCju337yAh/+4j/2H67A1IJ7K8+CTe7n2/Ll84rI6Wmp8vB07\nVNrOClFiEq6FmADJdI5/fXwDW3Yf/aJz/SXz+Nurz5QQeJJUVaM/kqQ3nCScijKQGqSgy+L3WPA4\nZXMKIcaa027i/3x8Lr9/qZN1b/SSyRXQYcBusrFhWxCbycY/fOz8UndTiJKTcC3EOIumcnzjwRfp\n6I0OazcZ9XzlI+dxxVnNJerZ1FQoqPRFkvSFk4RSUQbTA6DP4/dZcDtkkqIQ48lo0LNiWTWaBute\nD2EymLBZTBgNeta/fZD+SJIPnuHGaT21DWeEmA4kXAsxjvqiGf7r+d2oxuG7KvpcNr518yXMqfeX\nqGdTT14p0Bsubk8eSoUZSA9iNKqyk6IQEySvqPT0p9AUM9edt5Qr5uf4+QtvEU8d2fhqT1eI/zjY\nwxeunlPCngpRWhKuhRgnuzsH+PdndpLMKHi9R8L1nDof//emS2Qb8xOUzSnFUB1NEEpHCKUGsVig\npsKC3SpPYUJMhEg8R38oi89WTpU3QEOlB6/Typmzq7nz0VeGfTLXG83w73/axZx5C2mq8paw10KU\nhkyfF2IcvL67h2/9z0skM8qw9mXza7n78yskWJ+ATL5AdyjFW21BdvZ0sHdwHyltkLpqK/VVDgnW\nQkwARVE5GEwSiWg0eJporahlQVNgaHOrKp+Te7+4kiXv2UU2msrxzQdfZPuBvlJ0W4iSknAtxBhb\n/cYBvv/oK2TzhWHtVy1t4Y4bL8ZsknWWR5NM59jfHWLfoQjt4V72hfeR10dprLFRV+HAapbbT4iJ\nEE3kONCTwKbz0upvYX59JS01ZUftzGi3mvj//vYyLlncMKw9mcnznYdW8+qOronsthAlJ0M/Qoyh\n36/dyf8+t/Wo9k9csZCbViyWFSxGkUjnODQYZzCeYDA1SHe6G4dNR3Ntk6xRLcQEyisqwYE0St5A\nvauJKq+HhkoPJuOx39iajAa+/okL8Tgs/GLV5mG/6+7H1vH3H17K1ee1TkT3hSg5CddCjAFV1Xjk\n+a08uXbXsHadDj6yrIGbV55Rop5Nfsl0jp7DoXogNUA8F6PMbaa2wohBr5NgLcQE0TSNUCzHYCSH\n31ZOpb+cuoD7hMvY9HodX/jgOYT6e3j29e6hdlXT+I+nNhNOZPjEFQtlkEFMexKuhThNSkHlJ0++\nxktvtA9rNxn13HL5LM5s9pWmY5NcKpOnZzDOQCw+FKp9bjOzKl0Y9Dr6g/ICLMREyWQLHBpIYcRG\ns7eZSq+b+grPUSUgx6PT6Vi5pAa3zcSft0dRNW3o2GMvbiOSyPCFa8+Rdf3FtCbhWojTkFcK3POr\n9by2s3tYu91i4ls3X0IufLBEPZu80tk8PQNxBmJHRqq9btNQqBZCTBxV1egLZ0gkVQL2KipcPhoq\nPLgdltP6vcvmBFh65mLu/fUGcsqR+SfPvLqXZCbHP3z0fAwnGdyFmCrkni3EKcrlC9z92LqjgnWZ\n08rdn1/OGe+ZPT/TpbN52nrCvNV2iF3BDtoibegtKZrrHATKrBKshZhg8WSetq44Ws5Gi7eFudU1\nLGgMnHawfseyBXXc+dkrcNrMw9pf3trBfU9spFBQx+R6hJhsZORaiFOQyxf4wWNreX3P8O3Mq31O\n/vkzl1Ptl50C35HJKfQMxOmPFScqRrMRPE4jLRWOk/7IWQhx+hRFJRhKk83oqXE1EHB5aKz0YLOM\n/a6K8xsD3POFFXz3odUMxtJD7a+81YmqafzjDRfK84CYdiRcC3GSsjmFO3/xClv39Q5rrwu4uOuz\ny/G5bSXq2eSSySkcGozTH00wmAoRyYaLobrcgVEmKQpREuFYloFwjjKrjwZ/gLqAm4DXMa7X2VDp\n4Z4vrOD//uwv9EVSQ+3rth2kUFjPP33qIgnYYlqRe7MQJyGXL/D9R48O1vUBNz/4nARrKL75aA9G\n2NYWZNehTtrC+1FNcVpqHVT6bRKshSiBTK5Ae0+CWEx/eDOYOhY1V4x7sH5Hpc/JDz63nCrf8Ovb\nuKOLe361DkVKRMQ0Iq9yQpygXL7AnY++wpv7hwfrxkoPP/j8cspcMztY5/IFOoIR3moLsutQB/vC\n+1CNcZprHVRJqBaiJFRVoy+U5uChNF5TgNnlzSxoqGJWrW/UdavHwzsBu9rnHNb+6o5u/vU3GyRg\ni2lDXu2EOAF5pVhj/ca+4LD25iovd332yqGtgGcipaBysC96OFR3si+8D0UfK4bqcgnVQpRKNJGj\nrTuBkrXRUtbCnOpaFjQGSvp8FfA6+MHnl1PjHx6w1799kPsel0mOYnqQmmshjkMpFHcYe+/kxaYq\nD3d+9soxm1k/1aiqRl8kyaHBOAOpEKH0IHabjqYau2zxLkQJZbIFgoNpKJioddZT7vJQH3DjeM+q\nHaVS7rFz9+dXcMd/v0jPYGKofe22TvR6Hbd//AJZB1tMaRKuhRhFoaBy76/Ws3l3z7D2xkoPd/7d\nzA3WA9EUPQNxBpMR+lJ9WMwadVVWrGYJ1UKUilJQ6Q9lSKRUAvYKAmU+astdJ7zD4kTyuW3c9bnl\n3PHfLxIMJYfa17zZgUGv42sfPV8CtpiyJFwLcQyapvHTP2xm446uYe11ARd3fvZKPDOwFCSSyNDd\nH2MwGaM/2QeGPDUVVuxWeSoRolSObFuexWvx0eorp9rnotrvmtQBtdxj5wefW84d//0XesNHAvZL\nb7TjcVj5u2vOKmHvhDh1oxZD3n333Zx77rl4PB4qKir40Ic+xPbt24/7S7dt28Zll12G3W6nrq6O\n73//+2PWYSEmymMvbuPPW9qGtdWWF5fbm2k11sl0jt2dA2zvOMTegQMcSh7E59PRVOOUYC1ECSVS\nedq6E6QSBpo8LcyurGdxcyW1AfekDtbvCHgd3PXZKwm8Z3T99+t28fu1O0vUKyFOz6jhes2aNdx6\n661s3LiRl156CaPRyIoVKwiHw8f8mVgsxsqVK6murmbLli38+Mc/5oc//CH33XffmHdeiPHyp417\n+M3q4W8kK7x27vrslTNqub1MTmF/d4ht7YfY099BV6IDp6vArDoXbsfkqN8UYibK5QscDCbpHVCo\ntNcyu7yZhY1VtNb6sJin1hveSp+Tuz53JWXvGbT43+e2svqNAyXqlRCnbtRH4KpVq4Z9/+ijj+Lx\neNiwYQMf+MAHRvyZxx57jEwmwyOPPILFYmHBggXs2rWL++67j9tvv33sei7EOFm3rZMH//T6sDa3\n3cL/+8wVk7J2cTzklQKHBhP0huMMpAaJZMOUuU20eJxTYjRMiOlKVTUGIhkicQW/rZxGv58av4uK\nMgc63dR9bFb7XXzv05dzx3//hVQ2P9T+49+9httu4Zy5NSXsnRAn56TWyIrFYqiqSllZ2THP2bhx\nI5dccgkWy5GJXldddRU9PT10dHScek+FmABv7e/lvic2omlH2iwmA9+95VJqA+7SdWyCqKpGz0Cc\nbW297Dp0kP3h/ajG4gYwgTKrBOspZufOmfFmcKaIxItL6xWyNlrKZjG3qo7FLZVU+pxTOli/o6Wm\njG/dfAmmdy3fWVA17v7lOnZ3DpSwZ0KcHJ2mvTtGjO6GG25g//79bNmy5ZgP5KuuuoqGhgZ+9rOf\nDbV1dnbS1NTExo0bWbZsGQDRaHTo+N69e0+1/0KMma7BFPc/t4tMrjDUZtDr+OyK2cyv85SwZ+NP\n0zQiyRz9sSyRbIxILoLFolLmMmIyTv0X7ZnqyScDXH99f6m7IU5TJqcSiilQMFNu8eOx2any2qbt\n6jxbD4T4+cv7hw1yOKxGvvqB+VR4ZtZ8FzE5zZ49e+hrj+fofHDChVm33347GzZsYN26daO+Q54O\n757FzDMQy/Dff94zLFgDfPLipmkfrJMZhd5omkgmSTgTQmfKU+EzYjGbSt01cYp27rSzc6eDp34f\nAGD+/CTz56dK3CtxsnKKSjhWIJfTU2Yux2tzUeG14rFP7/kOZzb7iKfzPPlq51BbMqPwX8/v5qvX\nzp/2f7+Y+k4oXN922208/vjjrF69mqamplHPraqqIhgcvotdb2/v0LGRLF269ES6cUq2bNky7tcx\nnc2E2y+SyPDgf76A3uLA+65lq//u/WfykUvmn9bvnsy3Xy5foKs/hhKNYbH04lFhjq8cl2NyhOod\nO3cAsGD+ghL3ZOpZMP/I7fftbwWAQGk7NAWV8v6nKCr94eJ61Q1V5ZTbfVT5nFSWTY05D2PxvLd0\nKQSq3xo2sVwFntoa4V8+v2LSbIgzHibz68ZUMBG337urL0Zy3Jrrr33ta/zmN7/hpZdeYs6cOce9\nwgsuuIC1a9eSzWaH2l544QVqa2tpbGw8gS4LMXGyOYX/98gaDoUSw9o/cvG80w7Wk9VQXfWBIHt6\nO2mPHMDqyDOrzjVpgrUYG/PnJ49/kpg0CqpGXyhNW3cSo+qm1dfKvOpiXfVkX7N6PNy0YjFXLW0Z\n1tYejHLXL9aiyDbpYhIbNVx/+ctf5uGHH+axxx7D4/EQDAYJBoMkk0eesO+44w5WrFgx9P2NN96I\n3W7n05/+NNu3b+fJJ5/knnvukZVCxKSjaRr//uRr7O0ODWu/4swmPv2+M0vUq/EVjqfZ3t7Hrp5u\n9g3uJ6+P0VzroNxrlZKuaUhKQaYGTdMIRbO0dcWLkxW9LcytamBxcyX1FR6MhpNae2Da0Ol0/P2H\nz2XZ/Nph7dsO9PHg068f46eEKL1RH7EPPPAAiUSC5cuXU1NTM/TvRz/60dA5wWCQtrYjG2243W5e\neOEFenp6WLp0KV/5ylf4+te/zm233TZ+f4UQp+C3a3bwyludw9rOnl3FVz+6bNqNEKWzeXZ3DrCj\n8xB7+tsI53qprbRQE7BjNM7MF24hJoNoIsf+rjiphJEGdzNzKppY3FxNc3XZlFuvejwYDHr+6ZMX\nsaCxfFj7c5v28eyrshiCmJxGfeSq6vE/dnnooYeOalu0aBFr1qw59V4JMc427ezm0RfeGtbWWOnh\nG5+6eFqNEikFlZ6BOMFwjL5kH0klTrnXgtflLHXXhJjREqk8/eEMOtVCjbMBv8NNXcCN22E5/g/P\nMGaTgW/dfCn/+MDzBENHPjl/8E+vU1/hZnFLZQl7J8TRpk+KEOIEdfZG+dffbBi2zJPLZuZbN1+C\n3To9ao41TaMvnOTtA33sDnbRFm5Db07TXOvE65q+E4GEmOwy2QKdwQS9Awrl1mrmBFpYUFfNgqaA\nBOtRuB0WvnXzpVjfNZpfUDX+5Zfr6X3PnBkhSk3CtZhR4qks3390DemcMtRm0Ov4xqcuotrvKmHP\nxk48lWVnxwA7u3vYO7ifZGGQhmoblX4bhmlW7iLEVJFXVLr7UhwMpnEbAswpb2V+bS2LmitmzM6v\np6upyss/3nDBsLZYKsv3H32F9Lt2dRSi1CRcixlDKajc86v1wz5WBPjcB85mSevIy0ROJXmlQFtP\nmLfbg+ztP0Aw2UWF30B9lQPLNN1sQojJTlFUggNpDnQnsWgeZvtbmVtTx+Lmimmzs+JEOn9BHTev\nWDysraM3yn1PbERVT3hPPCHGlcyWEDPG/z77Bm/u7x3WdvW5s/jA+bOP8RNTR184SfdAjL5EP+FM\nCJ/XTK3bJS/cQpSIoqgMRLPEEwoeSxmtZX4CXic1fhdmk7zZPR03XLGQ9t4I67YdHGp7dUc3v/rL\nNm5aeUYJeyZEkYRrMSM8v2kfT2/cM6xtQWM5/+dDS6d0AE1n83T0RumPRzkUP4TFqtJc65AVQIQo\nEaWgMhjJEk0oeCxeWsr8BDxOqv2uYfXC4tTpdDq+9tHz6RmI03YoMtT+69XbaazycvHihhL2TggJ\n12IG2NnRz3++Z03UgMfOHTddMmVXBlFVjUODcXoGY/Qme0kqcarKrTjt02NCphBTzYih2u2kplxC\n9Xiwmo18+28u5bb7nyeaPLJp3b/99lXqAm6aqrwl7J2Y6aZmshDiBMVTWX746w3DdvOymAx8+28u\nxeu0lrBnpy6WzLKjo5/dh3poi7ShM6dpqXVKsBaiBJSCWtxVsSuJlnPQ4m1hXlUjZzRX0VJTJsF6\nHAW8Dv7vewZJsvkC9/xqnUxwFCUl4VpMW5qm8ePfvUZ/dPgudf/wsfNpqSkrUa9OnVJQOXAozI7O\n4oTFUDZIXaWVKr9t2m16I8RkV1A1+sMZDnQlUbP2oVC9uLmalpoybBZ5szsRFjQF+PsPLx3W1tUf\n5z//uKVEPRJCykLENPanjXt4bWf3sLbrLpo7JevxBqIpuvtj9CYGGEwP4Pea8bllpQEhJlpB1QhH\ns4RiOVxmN03eOsrdLmr8rmmzTv5Us3LpLHZ2DPDC60d2i37pjXbOaKlk+TktJeyZmKkkXItpaV93\niP99buuwtjl1Pv72fWeWqEenJpNT6OyN0heLEEwEMZoKNNc6MMmERSEmlKpqhGJZwrEcTpObZm8d\nfldx9Q+HTTZmKrUvfPAcdh8coLMvNtT2wB+3MLehnLqAu4Q9EzORvEKLaSeVyXPvr9YPq7N2WE38\n0ycvmjITGDWtOGFxe3sve/s66U4cxO/TU18lwVqIiVRQNQYiGfZ3xcmlrTS6W5hT0cSipmpm1/kl\nWE8SVrORb3zqYizvWuYwmy9w76/Wk8sXStgzMRPJq7SYVjRN4/6nNnHoPdvhfuUj51Hpc5aoVycn\nlcmzs2OA3T097Bvcj2ZM0FzrxO2QF3EhJkpB1QjHFfYfLIbqBnczcwKNLGqqYk69H6eE6kmnodLD\nF649Z1jbgWCEnz3z1xL1SMxUUhYippUXtrTxyludw9quWdbKRVOgzro4Wp2geyDKoUSQjJqgptKG\n3SoPUyEmyjubv3T3KTiMDpq9LficTqr9Tlx2S6m7J45j5dIW3mrrZc2bHUNtz23axxmzKqfkfBsx\nNcmrtpg2OoIR/us961k3V3n57DVnl6hHJy6dzdMejNAXCxNMBnE59LTI1shCTJhcvsBgJEs8VcBr\nKaPWVovXbmVxU7WUfkwhOp2Ov//wuew5ODjsE8yfPLmJ1lofVVPkE0wxtUlZiJgWMjmFe3+9npxy\npLbOajbyT5+6aNJvNRwMJXj7QC/7BjoJprqpqbBQ6bdJsBZiAmRyBbr6knT0pDGpHlrLWplX3UBr\ntZe6cocE6ynIbjXxjU9dNGx+Siqb54e/Hj4XR4jxIuFaTAsPr9o6bJY4wJc+tHRSzxLP5hR2dQ6w\npydIW7gNvTlNS61LykCEmACpjMLBYJKuQxnsOj+tvlbm1zRyRksVzdVlWCf5m3Ixulm1Pj7zntWh\n9nSF+PVLb5eoR2ImkVdxMeW9tb+XZ17dO6xt+dnNXHl2c4l6dHz9kSSdfRGC8T4S+QjVFXYcNnk4\nCjHeEqk8g9Es+byecls5DX4vFWVOKsscmIwSqKeTay+Yw1ttvby648h+B79ds4PzF9TRWusrYc/E\ndCcj12JKS2fz/OT3rw1rq/Y5+eIHzznGT5SWUlDZ1x1iT3cv+0MHUI0JmutcEqyFGGexZI4D3XH6\nBgt4TZXMK5/Ngrp6zphVRV3ALcF6GtLpdHz1+mX4XLahtoKq8W+/fZW8IsvzifEj4VpMaY88/ybB\nUHJY21c/umxSbj0cSWTYfqCP/X1dHIx3EPAbqAnYMcjW5UKMC03TiMRz7O+KEwpBwFrD3PJWFtbV\nsbilkmq/a8qsfS9Ojctu4daPnDusraM3ym9Wby9Rj8RMIMNlYsoaqRzkgxfMYVFzRYl6NDJV1egI\nRugJRemJ96A35WiucWKUzWCEGBcFtRiqw9EsZr2dKnsdPoebyjIH5R67TBaeYc6dV8uVZzXx0hvt\nQ21SHiLGk7y6iykpnc3z708eXQ5yy9VLStSjkWXzBQ70JdjXe4iO6AHcbo2GKgnWQoyHXL5AcDDN\n/oNxsikLda4m5la0sKihloVNAQJehwTrGerz154j5SFiwsgrvJiSHnn+TXrDR5eDWM2T58OYUCxN\nW2+M7kQvoWwvDdV2fB7ZhEKIsZbOKEPL6enzLlq8s5hX2cTiphoWNAXwuWVpy5nOaTNLeYiYMJMn\niQhxgiZ7OYimaXT2RukJRelO9mC2FmiqcaKX2mohxlQsmSMUzVFQDPhsfmp9XgIeBxVljkk570KU\nlpSHiIkiI9diSpns5SDvrF3d1tc7VAYS8JokWAsxRlRVIxTNsq8zRjisw2+pYm55KwtqG1gyq4rG\nKq8Ea3FMUh4iJoKEazGlTOZykEgiw46OftoGuuhL91Bfbcdll+W9hBgLeUWldzDNvoNx0kkzda5G\n5gZaWFhfXPmjptwly+mJ43LazHz5OikPEeOr9IlEiBO05+Agz742+cpBNE2jeyBO10CY7lg3RotC\nc6VLltgTYgxksgUGo1mS6QIei5dmbxk+Z3HTF4/TWuruiSnovPkjl4dctqSR+gpP6Tompg0ZuRZT\ngrLv5WUAACAASURBVKpq/Ocft6D9/+3deXTU5b0/8Pes3/nOmkz2DZKQAAlLUBAroOIGYpWqv1us\nS1m6HHvsvadq7z1eWz3ovUivnuo91cqtvVYarT3d9Na1NVARxDUgiSBbICSQZUISksnMJLN+v78/\nJgxMgCTAzHxnJu/XOXOS58lkvp88kJlPnvk8zyOf6kuGcpBAMISDx3px2OFAS38LrFagONfExJro\nIrk8AbR0uNHW5YOosqPSXonqwlLMLivE1JIsJtZ0Uc5WHvLCWzshn/4iQ3SBmFxTSqjbcRhN7Sei\n+u679TJFy0EGPD7sbelGc087HIMdKM4zcDcQoosQOllPfWwAvSdk2PX5mJZdierCEtRMyUdpfgaM\nBtZT08Uzi3p8/+ZLo/oaD3fhoz3HFIqI0gnLQijpuQZ9ePm9xqi+hTNLMKciX6GIgK4TbrQe70Pb\nQDvUWj9KC0086Y3oAnn9IfQ5fXANhmDWW1BkzkOG0YLcjPChL1wQTPGwcGYJaqbkofFwV6TvN+/u\nwtypBVwUSxdlzGxg27ZtWL58OYqLi6FWq1FbWzvq/VtaWqBWq8+41dXVxSxomlheqfsSriF/pC3o\nNPje1y8d5Tvi62iXE4c6u3Gk7whMphBK8plYE50vWZbhdPvDpR+dXujkDJRnDu9PPbkIM8tykZtp\nYmJNcaNSqXDvLXOjyvh6nIP4Exc30kUac+ba4/Fg9uzZWLVqFVauXDnujfjfe+891NScqofNzMy8\n8Chpwmpq68Xf6w9F9d1xzQxk24wJj0WSZDR39qG9rxedrnbkZQuwmvQJj4MolQWDEvpcfvS7/BDU\nRmSJ+cjIsCHbZkSOzQghCXb+oYmjJNeGbyychtc/3B/p++tHB3D93HIU5VgVjIxS2ZjPYsuWLcOy\nZcsAAKtXrx73A9vtduTmJsehHpSazraIsTDLjFsXTU94LP5ACIfaT6DDeRy93m4U54kQDUwCiMbL\nMxREn8uHwSEJVr0Nk6xFyDCGD3yxW0TOUJNivnXtTGxtbEXvwBAAIBiS8MJbO/H4msU82ZMuSNze\ny7799tuRl5eHRYsW4bXXXovXZSiNbd7ZjINt0YsY771lXsL3sh30BrD/aA9aTrTjhK8bkwtMTKyJ\nxkGSZPQN+NDc5kJXTxBmVXbUrh/VpTmsqSbFiYIO373pkqi+XYcc+OSrNoUiolSnks9j3xmLxYLn\nn38eK1euPOd9ent78fLLL2PhwoXQarV444038MQTT6C2thZ333135H5OpzPyeVNT09keiiYwjzeI\nn72+Gx5vMNI3e3Im1lxXkdA43EMBHOt14/hQN0KaIeRl8rRForH4gxJcHgmeIQkGjQirzgazTkSm\nWY8Mk55rFCjpyLKMX713EAc7BiJ9mWY9HrptJgQdDyeiaJWVlZHPbbYz90aP+fRbVlYWHnjggUj7\n0ksvRW9vL5566qmo5JpoNH/7oj0qsdZr1fjG5SUJjeGE24fOPg8cQ13QCwHk2HR8i5BoFB5vCAOe\nEAIBNaxaK4pEMyyigEyTAIuo5e8PJS2VSoXbLp+En7/xFUJSeM6xz+3H5sZOfH1escLRUapJyHvb\nl112GV566aVzfn3evHlxu/aOHTvifo10psT4He1yYl/XIWRkZET6vn3DbCxZPCNhMRw77oS/pw8G\n4Sjm2MqRnXFhB1bs3bcXAFBdVR3L8CYEjt3FSdT4BYISnMMLFE0WEdNKMpEhWpFlNSInw5iyW5rx\ntePCpfLYHQ+Y8X/bTy1ubOzw4b6KKuRkmBIWQyqPXzJIxPidXn1xNgl5b66hoQGFhYWJuBSlgVc2\nNUI6rVqpMMuM265M3CLGI519OHK8G0edLcjN1l1wYk2UrmRZhssTwDGHBy3tgwh6jSi2lGJaTjlm\nTirG7PI8TMqzpWxiTRPXndfNRJb11MmNgaCE32/erWBElIrGtRXfyZpoSZLQ2tqKhoYGZGVloaSk\nBA8//DDq6+uxefNmAEBtbS30ej3mzJkDtVqNt956Cxs2bMBTTz0V35+E0sKBoz34dG97VN+qpXMS\ntojxSGcfjvb2oNPVjqI8EUYuXCSKCAQl9A/PUutUBmSKuZhktiLTIiLbZoTFyBNKKbWJgg53Xz8L\nz77+eaTv/V0tuO3KKkzKO7O2luhsxswc6uvrce211wII1yStXbsWa9euxerVq/HSSy/B4XCgubk5\ncn+VSoV169ahtbUVGo0G06ZNw8aNG3HXXXfF76egtCDLMmpHnMQ4tdiOK2Ykpt7t9MSaW+0Rhcmy\nDPdgeBs9rxewGcLb6NlEI3IyTLBbRS5QpLRy7SVleP3DfWjrdgEAJFnGK5sa8dN7rlI4MkoVY2YP\nixcvhiRJ5/z6xo0bo9orV64cdTcRonP54mAndh85HtW3aumchCyCYmJNFM3nD6Hf5ceAJwC9WkSm\nIR+2bAvsViOybUaYRR6gROlJo1Fj5ZIarH91e6Tv073t2H+0B9MnZSsYGaUKTjdQUpCkM2etL63M\nx+wpeXG/NhNrojBJktHvCh9JfqzTC3XQgsnWckzPnYKZk4pRMyUfpfkZTKwp7X2tuhjTSrKi+mrf\na8B57F5MExiTa0oKH37ZiiOO/qi+VUvnxP26TKyJgCFvEJ3dgzh0zAX3gAbZQgGm5UxFdWEpasrD\nh73kZJigYfkHTRAqlQqrltZE9e050o2dBzsViohSCTMJUlwwJOF3m7+M6rtq9iSUF2bG9bpMrGki\nC4YkON0BOF1+yJIWGYZMlGfakGEML07M5JHkNMHNKs/DpZX5+KLJEel7+b1GXFpZwN8NGhWzCVLc\ne58fguOEJ9LWqFW454bZcb0mE2uaiGRZhmswAKcrgCGfBIvegnxTHmwGM7Ks4aRa0PN3geikVUvn\n4Iumv0faRxz92PZlKxbPKVUuKEp6fBYlRQ35Avjjlq+i+pZeNgUFWZa4XbOz14X2EyeYWNOEMegN\nwunywzUYhEFjhM2Qi2KTBZlmEVk2I2wmgacnEp1FeWEmrq6ZjK2NrZG+Vzd/iUWzJnGXHDonZhWk\nqLc/OYg+tzfSFnQafOvamXG7Xr/bi6PH+9DuakdBjoGJNaWtQFCGeyiEQ8cGoIYeNiET5RlW2ExG\n2C0it9AjGqe7r5+F7buPRo5Fd5zwoK7+MG76WqXCkVGyYmZBivH5g3jjowNRfbcumo5Mi3iO77g4\nQ74AjnT2oW2gDZk2LcxGnh5H6SUkyRhw++F0B9DZE4JZa0KxuRRWMZxQZ9mMMLDsg+i8FGRZcOP8\nCrzzaVOk7/UP92HpZVO4yJfOis+ypJhNO5vh9PgibaOgw22L4nPMeTAk4XBHH44526E3hJBlM8bl\nOkSJdvKQF6fbD89QCGa9BdmGHJSag7AadZhdVsiTE4ku0orFM1C34zACwfC5H119Hmz7shXXXFKm\ncGSUjJhckyKCIQmvb9sX1XfT5RUwxWH/XFmW0dzRhw7ncQTgweRsU8yvQZRoQ94gnO4AXIPhQ15s\nQg6KsqzIMIuwW0SIg/1Qq1VMrIliwG4Vcd0lZfh7/eFI32vb9uHqmlLuHEJnYHJNitjW2Ipu52Ck\nrdOqsXzhtLhcq617AJ39vejz9aC0wMSFW5SyAkEJTpcfTk8AkLSwGWwotVlhM56qo9ZpNQDAF3yi\nGLv9qirU7WiGNHyQTGuXE/X723F5dbHCkVGyYXJNCSdJMv6ydW9U3/WXlsel1rrXOYhjPX3odHeg\nOE+EVsv6OEotwaCEAU8AA54AAgHAoreiyGSDxWBCljWcUIsC1w8QxVtBlgWLZpVg25dHI31/2bYX\n86uKOGlDUZhcU8J9vr8dx7oHIm21SoXbr6qK+XWCIQnHugfQ7mpHjl3gziCUMoJBKbwftTsAvx+w\nCGbkGHJhzTDDZhKQZTXCamK5B1Gi/dPV1VHJ9f6jvdhz5DhmlecpGBUlG2YblFCyLOPPH0Tva33l\n7EnIt5tjfq327gEcd/dApwshw2KI+eMTxVIwJME1PEPt88uRhYkWqwkZZhGZFgNsJgPLPYgUVFaQ\niXnTCrDjwKlj0P/8wV4m1xSFyTUl1O7m4zjYdiKq75+uro75dTxDfjj6BnBiqAeTC7kzCCWnkCQP\nJ9R+eH0yTDozsoRsWCxm2EwG2K0iE2qiJPPNq2dEJde7DjlwuP0EphTZFYyKkgmTa0qokbXW86cX\nojQ/I+bXOXrciS7PcWRYddDrNDF/fKILdTKhdnkCGPSGt87LFOywmCywmQ2wW0TYTAL3zyVKUtWl\nOaienI29rT2Rvr9s24uH7lykYFSUTJhcU8Icaj+BXYccUX3xmLU+3udBt8uJoZALBbb4HaNONF6S\nJMM1GE6oPUMhmPRm2PR2FGcNz1BbRGSYDUyoiVLENxfPwOO1WyPtj/YcQ3v3AIpyrApGRcmCyTUl\nzBsf7Y9qzyzLQdXknJheIxiS0N4zAIfbgfxskW+nk2JCkgz3YHgf6sEhCUatERYhE0VZFthMBmQO\nJ9Q8gpwo9cydWoCy/AwccfQDAGQZeOuTg/jB8nkKR0bJgM/qlBD9bi8+2nMsqu+fror9rLXjhBvd\nnl4IgsTjzSnhgkEJfQM+HHW4ceioCy6nBmZVDioyK1CVPwWzJpVgTkUBKouzkG0zMrEmSlEqleqM\nd1637GrBkC+gUESUTDhzTQmxeWdz5NhYACjMMuOSyoKYXkOWZfQ6B9Hn7UNxHncHocTw+kNwDwbg\nHgzC7wfMghmZ+iyUmMIlHxnm8O3k4S5ElB4WzCxB5jsG9Lm9AIBBXwAfNLRg2eWVCkdGSmNyTXEn\nSTL+9llTVN+yyytjXrLh9Pgw4PNArQ7BIDCRofgZ9AbDixIHA4CshUVvQa5ogdlmjCTUXJRIlN60\nGjWWXjYFf9hyanvZdz9rwo3zK3iozATH5JribufBDhzvP3XUuV6rwXWXlsX8Or3OQTi9/bBZ9DF/\nbJrYZFmGZyicULuHgtCq9LDorSg2W2AxGGEzCcgwG2A1CXxRJZpAls6vwJ+37kVICh+J3uJwYl9r\nD6pLY7ueiFILk2uKu3dHzFpfNXsSLMbYni4XDEnocw/B5XehPNcU08emien0BYmeoRAMGhEWwY5s\nmxlmgxgp9zCL/GOOaKLKthkxf3oRPtnbFul797MmJtcTHJNriqvOXhd2HuyM6vv6FVNjfh33kB+e\nwCAEvYqLxOiC+fwhuIeCcA8G4PVJMOlMMOszUJBpgdV4qn7aoOdTJxGF3fS1yqjk+qM9x/C9r3uR\nYeban4mKrxAUV3///BBk+VR7arEdFXE4xWrQG4A3MASRtdZ0HiQpXO7hGU6oAS3MOhOy9Nkwm82w\nDpd7cEEiEZ3L7PI8FGVb0N7jAhB+J7Wu/jBWXDND4chIKUyuKW78gRA27WiO6rspTquoB30BeINe\nWM1MgGh0Xn8okkx7fRJErRFmIROTrGaYhHDdtM0kwGrkgkQiGptarcKy+RV48d1dkb6/f34I/++q\nKj6HTFBMriluPvyyFa4hf6RtEfW4cvbkuFwrGJIQlELQ8YmMRghJMgaHk2nPUBDh2WkzsvTZMJlN\nsIgCbGYDrEYBRgP3Riei83fd3HK8sulL+AIhAEC3cxA7DnTg8upihSMjJTC5prgZuZDxhnnl0Ovi\nM7MsyzJkSFCpOHNNp/ae9gwF4fVJMOqMMOntyBqenbaZBFg5O01EMWIW9bi6ZjLqTnu39p1Pm5hc\nT1BMrikujnY5cbDtRFTfjfMr4na90+u6aeIJBiV4vMHwDPVQEGroYNKZkCWYYTabYDEKkXIPUeDs\nNBHF3k2XV0Yl1w2HHehxDiLbZlQwKlLCmFM227Ztw/Lly1FcXAy1Wo3a2toxH3T37t24+uqrYTQa\nUVxcjP/8z/+MSbCUOrY2tkS151TkoSDLErfrCToNdBo9/MFQ3K5BySMYkjDg8cPRM4TDbS40tw3C\nNaCFAXZMtpajKrcSM4vKUFNagjkV+ZhakoV8u5mJNRHFzZQiOyqKMiNtWQa2NbYqGBEpZcyZa4/H\ng9mzZ2PVqlVYuXLlmAckDAwM4IYbbsDixYuxY8cO7Nu3D2vWrIHJZMKDDz4Ys8ApeUmSjA8aWqL6\nFteUxvWaoqCDQSPA5/cD3OY67Zysmz45Ox0IAiadEUa9FRkmI0yCCLOoh0XUw8rZaSJSyOKaUhxq\n74u0P2howe1XVSkYESlhzOR62bJlWLZsGQBg9erVYz7gq6++Cq/Xi9raWgiCgOrqauzfvx/PPPMM\nk+sJYl9rd9SJjIJOgytmlMT1mmZRD6PeBIfnBHIyubdoqpMkGYNeCV6/hCPtLgSCgEEjwqTPQKHJ\nCKN+OJk2CrCIehgNOp6MSESKu6pmMl76WwOk4VrFI45+tDj6UZqfoXBklEgxX8nzySef4Morr4Qg\nnDqBb8mSJejo6EBrK98emQi2jngb7PKqorjvwmAx6mEzmCFL2uEdISiVnNxv+viJIbR0uNF01IWB\nAS3UfivyjSWYap+KGQUVmFUyGTXlxZhTkY/K4nCph0nUM7EmoqSQaRExpyIvqm/riHdyKf3FfEGj\nw+HApEmTovry8vIiX5s8OT5bsVFyCARD+HD30ai+xXNK435dlUqFnAwjej056OrtRFmRmQlXEgsE\nJQz5ghj0huD1heDzSxA0Bpj1VuSKJhgtIvT9KpgELWrKimEy6KFW89+TiJLf4jml+KLJEWlvbWzF\nt5fU8DlsAol5cn0hCc2OHTtiHYYi10hn4x2/3a19aOs8HmmbDFqEnO3YsaNzlO+KDVmWcbzLjTZX\nJzrafbBbk2cznL379iodgmJkWYYvIMPnl+ALyPD6JUDWwKARIKgFGDQGCGoBsuBDSAghJHgQ0mtR\nmmsGABzYu1vhnyC18bnv4nD8LtxEHTtdIIRB9wD8QQkA0N/fjz+9+wEq8s9vUf9EHb9Yief4VVaO\nfiBezLOP/Px8OByOqL6urq7I1yi97TzcG9W+pMwObYL2EVapVCjIFOENZKNjsBNaTQhWE/e9TrRg\nKJxIe/0yfAEJgQCgU+shaAwwaQywGwwQtDqIes3wTQtRr+GsDhGlBYNOg5mTMvBF86ntaHce6jnv\n5JpSV8yT6yuuuAIPPfQQfD5fpO5606ZNKCoqOmdJyLx582IdRsTJv1zieY10dj7j5xnyo+PNw8jI\nOLVwY9U3rsb0Sdlxi+9sZjgHcaijBy3OVmRY1MhWcIHjyRnr6qpqxWKIJ0mS4fWHMOQLYcgXxJA3\nBJ2shl0rQtQZIepEGLUiREEHs6iHyRD+KOjHfurh7+7F4fhdHI7fhePYASpLIZprt0baxwZUmF1z\nybgOUuP4XZxEjJ/T6Rz16+Paiq+pKXzSniRJaG1tRUNDA7KyslBSUoKHH34Y9fX12Lx5MwDgrrvu\nwuOPP47Vq1fjkUcewYEDB/Dkk0/iscceu/ifhpLax18dQ2D4bTAAyLebMK0kK+FxZNmMkBFO6Ntd\nHfB43SjKMUKr5Ul8FyMYlOD1hyI3n19CICDDoBVg0Iqw6ETk2USIOgGm0xJp1ksT0UQzpyIfNpMA\np8cHAPB4A9hxoAMLZsZ35yxKDmMm1/X19bj22msBhN92X7t2LdauXYvVq1fjpZdegsPhQHPzqROJ\nrFYrNm3ahB/+8IeYN28e7HY7/vVf/xUPPPBA/H4KSgpbdrVEtRfXlCq2qDDbZoRemwfRIaDTdRxH\n2nths2hhtwkJK1NJVbIswx8YTqR9IfgCIXh9ElRQQ9AYYNCaYdEKyDEbYNAKEAUtTIZwMm0S9TCM\nY1aaiCidaTRqXDV7Mt765GCkb0vDESbXE8SYr4KLFy+GJEnn/PrGjRvP6Js5cya2bt16lntTuup3\ne7Gn5XhUXyJ2CRmN1SSgujQH5i49up029Az24EjbADKsOthtAjScTUUwJMEfkOAbTqS9/hD8QRla\nlQ4GrQGC1gy73gCDKMCg00MUdDAadDAKOoiCFga9lruyEBGdxeI5pVHJ9c6DnfD6g5yAmAD4L0wx\nsfNAB4b3zAcAlOVnoCjHqlxAw7QaNcoLM5FvN6Oj14yeARd6B3txaMAJo6CB2aiFSdSOqw4uVZ2c\nifYHJPgCocjn/oAEyGroNXoYtAaIWgMyjAIErQGi/lQCbRxOqHXa9B0jIqJYqyy2Iy/ThK4+D4Dw\nFqSNhxy4vLpY4cgo3phcU0x8tq89qv21JHvyMBp0qCiyo8BuRucJC/rdQ3D73XB73Ojpc0OtkWEW\nw4m2SUy92diQJCMQkOAPhpPn8Ofhj8EQoNPoIGj00GtEGDV6ZIp66Mx6CFodDHotRL0WRoMuPDMt\n6FgjTUR0kVQqFeZPL4qavf5sXzuT6wmAyTVdNH8ghC+aovexnl9VpFA0ozOJelQU2REMSRjw+OD0\neDHg8cHtG4I74EZPrxvtkgs6jQp6nRo6rRqCXgOdVh1pJ1IwKCEYkhEMneVj8FRbBTX0Gh10Gj30\naj1EjQ5WQQ+9UQe9Rg9Bp4GgD5dxnH5j/TkRUfxcXhWdXH++vx2SJHMCI80xuaaL9mVzF3yBUKSd\nZRUxpTBTwYjGptWoYbeKsFtFAOFtBJ3Dybbb64c/6EdA8sMfCmDI7YMzFEAgNISgHIROq4ZOq4Ja\nrYJaFb6pVIBaPfxRpYp87vGGx8Xp9kOWw1vXSbIc+VyWAUke7pMAGTJCIRnBkIyQJEOj0kCr1g7f\ndNCqtRDUWpg0Wmh0WmhVWmg1Wug0Gui1mkgSLeg0EHThBDqdS16IiJLZjLJcmAw6eLwBAIDT48PB\ntt6Eb1FLicXkmi7a5yNKQuZPL0q5sgqTqIdJ1KMw24JQKFyb7AsEwx/9wdPaQfhDAQSkACRJgiRL\nwHByLIUkyLKEgCxDliVIkOFx6QEAHpceaqigUqmHk3E1tBhOzKGGWq2GWhPu16jUkYRapw3Pmms1\n6vDnJz9qo9ucBSEiSj5ajRpzpxZg25dHI32f7W1jcp3mmFzTRZFlGZ/vj06uL0/SkpDx0mjUMGrU\nMBp0Z3xNkuRwgh0IhRNqSYaMUzPSIz+GesILWWYVTYnMaEdmuk9rn/5Ro1ZHEupU+yOFiIiiXV5V\nHJVcf76/HatunKNgRBRvTK7pohzu6EPvwFCkbdBrMas8T8GI4kutVkEUwgv/xqOnzQgAKM3PGOOe\nRESUji6dWgCNWoWQFN5S6+jxAXT2ulCQxePQ0xVXM9FFGVkScklFPmt8iYiIhplFPWaU5kT1jXzt\npPTC5Jouymf72qLaqV4SQkREFGvzp0e/No4sp6T0wuSaLliPcxDNnf2RtkoFzJtWqGBEREREyWfk\n9rRftXTDPeRXKBqKNybXdMF2HOiIaldNyobNbFAoGiIiouRUkGXB5DxbpB2SZDQccigYEcUTk2u6\nYHuOHI9qz53KWWsiIqKzmTu1IKq9u7lLoUgo3phc0wWRZRlfHo5+Ypg9JX13CSEiIroYI3fS+pLJ\nddpick0XpKPHhT63N9IWdBpUFNkVjIiIiCh5VU/Ogea0A7/aul3ocw2N8h2Uqphc0wUZ+Rd39eQc\naDX870RERHQ2RoMOUwozo/p2Nx8/x70plTEbogsy8gmBJSFERESjG1kaMnLtEqUHJtd03mRZPuMJ\nYVZZrkLREBERpYaRr5W7j7DuOh0xuabz1tY9EFVvLeq1mMJ6ayIiolFVl55Zd31igHXX6YbJNZ23\nkSUh1aWstyYiIhqLKOjOWPzP0pD0w4yIzhtLQoiIiC7MGaUh3JIv7TC5pvMiyzJ2j0yuy7mYkYiI\naDy433X6Y3JN56WtewD9p9VbG4UztxYiIiKis6uanB1Vd93R62bddZphck3n5eCx3qj29ElZ0LDe\nmoiIaFzOVnfd1NZ7jntTKmJWROflcEdfVLuyOEuhSIiIiFLTyOT6UPsJhSKheGByTedl5BNAJbfg\nIyIiOi8jXzsPdTC5TidMrmncQiEJzZ3RM9fc35qIiOj8jHztPNzeB1mWFYqGYo3JNY1bW/cAfIFQ\npJ1hNiDLKioYERERUeopybFC0Gki7T63F71c1Jg2mFzTuI0sCakoyoRKpTrHvYmIiOhsNBo1ygoy\novoOs+46bTC5pnEbuZhxSiFLQoiIiC7EyNdQLmpMH+NKrjds2ICysjKIooh58+Zh+/bt57xvS0sL\n1Gr1Gbe6urqYBU3K4GJGIiKi2OCixvQ1ZnL9xz/+Effffz8eeeQRNDQ0YMGCBVi2bBmOHTs26ve9\n9957cDgckds111wTs6Ap8biYkYiIKHa4qDF9jZlcP/PMM1izZg2++93vYtq0aXj22WdRUFCA//mf\n/xn1++x2O3JzcyM3nU4Xs6Ap8biYkYiIKHbOtqiRJzWmh1GTa7/fjy+++AJLliyJ6l+yZAk+/vjj\nUR/49ttvR15eHhYtWoTXXnvt4iMlRXExIxERUeycbVEj667Tw6jJdU9PD0KhEPLy8qL6c3Nz4XA4\nzvo9FosFTz/9NP785z/jb3/7G6677jrccccdePXVV2MXNSVci6M/qs3FjERERBdn5GvpkRGvtZSa\nVPIoBT4dHR0oLi7Gtm3bsGjRokj/f/zHf+D3v/899u/fP66L/PM//zM+/PBDNDY2RvqcTudFhE1E\nREREpCybzXZG36gz19nZ2dBoNOjq6orq7+rqQkFBwbgvfNlll6GpqWnc9yciIiIiSkWjJtd6vR5z\n5849Yxu9TZs2YcGCBeO+SENDAwoLCy8sQiIiIiKiFKEd6w4PPvggvv3tb2P+/PlYsGABfvWrX8Hh\ncOAHP/gBAODhhx9GfX09Nm/eDACora2FXq/HnDlzoFar8dZbb2HDhg146qmnoh73bNPoRERERESp\nbMzkesWKFejt7cW6devQ2dmJWbNm4d1330VJSQkAwOFwoLm5OXJ/lUqFdevWobW1FRqNBtOmTcPG\njRtx1113xe+nICIiIiJKAqMuaCQiIiIiovEb1/HnqaqzsxOrVq1Cbm4uRFHEjBkzsG3bNqXDsq7b\nKAAACFBJREFUSgmlpaVnPcb+5ptvVjq0pBcMBvGTn/wE5eXlEEUR5eXlePTRRxEKhcb+ZgIAuFwu\n3H///SgtLYXRaMTChQuxY8cOpcNKOtu2bcPy5ctRXFwMtVqN2traM+7z2GOPoaioCEajEddccw32\n7t2rQKTJaazxe/3117F06VLk5uZCrVZj69atCkWanEYbv2AwiIceegg1NTUwm80oLCzE3XffPebp\nzhPJWP//Hn30UVRVVcFsNsNut+P666/HJ598olC0yWU8z30n3XvvvVCr1Xj66acTFl/aJtf9/f1Y\nuHAhVCoV3n33Xezfvx+//OUvkZubq3RoKWHnzp1Rx9d/8cUXUKlUuOOOO5QOLemtX78eL7zwAp57\n7jkcOHAAv/jFL7Bhwwb87Gc/Uzq0lPG9730PmzZtwssvv4w9e/ZgyZIluP7669HR0aF0aEnF4/Fg\n9uzZ+MUvfgFRFM842OnJJ5/EM888g1/+8peor69Hbm4ubrjhBrjdboUiTi5jjd/g4CAWLVqEZ555\nBgB4cNYIo42fx+PBrl278Mgjj2DXrl144403cOzYMdx4442caBg21v+/6dOnY8OGDdizZw+2b9+O\nsrIyLF269Iwd3CaiscbupL/85S+or69HYWFhYn9/5TT18MMPy4sWLVI6jLSxbt06OTMzU/Z6vUqH\nkvRuvvlmefXq1VF9K1eulG+55RaFIkotg4ODslarld98882o/rlz58qPPPKIQlElP7PZLNfW1kba\nkiTJ+fn58vr16yN9Q0NDssVikV944QUlQkxqI8fvdN3d3bJKpZK3bt2a4KhSx2jjd9LevXtllUol\n79mzJ0FRpY7xjJ/T6ZRVKpVcV1eXoKhSw7nGrqWlRS4qKpL3798vl5aWyk8//XTCYkrbmeu//vWv\nmD9/Pu644w7k5eXhkksuwfPPP690WClJlmX85je/wT333ANBEJQOJ+ktW7YM77//Pg4cOAAA2Lt3\nL7Zs2YKbbrpJ4chSQzAYRCgUOuP/msFgwPbt2xWKKvUcOXIEXV1dWLJkSaTPYDDgqquuwscff6xg\nZDRRnTw8LjMzU+FIUo/f78evf/1rZGVlYe7cuUqHk/SCwSDuvPNOPProo5g2bVrCr5+2yXVzczM2\nbNiAiooK1NXV4Uc/+hH+/d//nQn2Bdi0aRNaWlrw/e9/X+lQUsJ9992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+CP/57Ju8ddA/6vXFzRV88UMX0CQHLxRcJJ6mP5wgEE0QTkUIpUJk1RQuu2FY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\nXV1YsmRJuM9gMODqq6/GJ598omBkNFmdPDwuPT1d4UiSj8/nw69//Wt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vX8iHzmuSkxQLSDKdZSAUZzCSIJyIEUqFCadCmEy5Gt/qUiN6vQ6nXV4iL1Rm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\ngg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, diff --git a/09_Unscented_Kalman_Filter.ipynb b/09_Unscented_Kalman_Filter.ipynb index e460b3b..5801cff 100644 --- a/09_Unscented_Kalman_Filter.ipynb +++ b/09_Unscented_Kalman_Filter.ipynb @@ -3941,7 +3941,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.4.3" + "version": "3.4.1" } }, "nbformat": 4, diff --git a/10_Extended_Kalman_Filters.ipynb b/10_Extended_Kalman_Filters.ipynb index 554fb1c..b0ca48a 100644 --- a/10_Extended_Kalman_Filters.ipynb +++ b/10_Extended_Kalman_Filters.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -250,7 +250,7 @@ "" ] }, - "execution_count": 2, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -303,7 +303,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -312,7 +312,7 @@ "data": { "image/png": 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ZE56gtITh7SE9NW64ggNDPNg14Ns8EtorKyv1l7/8RUuXLtXpp58uSXr55ZeV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\n2/a8rlLV9ZWqqXO/bnY2ebt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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -352,7 +352,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -361,7 +361,7 @@ "data": { "image/png": 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Lvk9xfrmaqi+YqksvLag8b0P6iMeYGcqnjZw7F/5/2qQgtAMAACwj4UhIXa5WtfV9FP/0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\nhjqdJyd9Ti2VmJj4GQhJ0rq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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -427,7 +427,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -436,7 +436,7 @@ "data": { "image/png": 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V7tdMn25ef+01M3rrckkNGkiffirVqiX99JM0fLhUo4Y0ZIgJuA0bSsOGmSkPkuTrK11/\nvQnNf/5z8X0mQH4IvwAAlAPvvWfCpiTdfbc0apT01VfSffcVfM2TT+aOykrSjBnSuHEmAJ/Xpo37\nNQ89lPuc86ZPz/26USPp55/NKPSQIVLFiiaUS2bKw3kVKkiVK7sfA0oC0x4AACjjdu+W1qyRoqPN\n9z4+0qBBeac+XKxdu9yvjx6VDh+Wbrml8NecN2+eOR4SYgLt669LBw4U7T0AJYWRXwAAyrh335Wy\ns8282/POz7k9dEiqXz//6ypWLPqzLr5m0SIzWjx7ttS5s1SlivTmm9KXXxb93kBJYOQXAIAS5nK5\ntG9fuvbtS5fL5bqqe2VlmSa1//kfadMm91+tW0sLFhTuPiEhJiQvW1a0569eLXXsKI0caaZIhIWZ\nkejLrebg52cCO1DSCL8AAJQgl8ul2Nh0derkq06dfBUbe3UB+LvvpORk01AWHp77q2VLMz83Jqbw\n93r2WTNl4fXXpZ07pV9+MY1tl9KihVlfePFiadcuM284Li535LkgTZqY8w4flo4dK3yNwNUi/AIA\n4EkLFkgvvih9/bV08GCeFHjgQKaio/2VlORUUpJT0dH+OnCgkAvmFvC4qCipWrW8r91/v1lSbOnS\nvK/lNzL7+OPSW29J77xjlju7/XZp69ZLP3/ECLNpxYABUocO0v790vjxee9/8fcvvGDmBV9zjdn5\nDSgpDsvK/99mKSkpOV8Hn2/TBAAAl3funNnWbMMGkz4PHDDpdO5c7dtnRn2Tksz4U506LsXHZ6px\nY38vFw2UD5fLsIz8AgDgaUlJZr2vAwfMLg5nzkgDB0qSGjb0VUxMuurUcalOHZdiYtLVsKGvlwsG\n7IORXwAArlZqqrRypZSQYLq4QkOlXr3MArfPPis984zZ6eG/XC5XzlSHhg195XQyFgV4yuUyLEud\nAQBQVJZlllNYtkw6ccKs/3XzzdLzz+duqXb4sDR5sukAq17d7XKn06ngYH9VqmQGhgGUHMIvAACF\n8ccfpnPsP/8x3VutW5stzC4KtpJM19fs2dKrr0pBQfnebsgQs8Xv1KnFXDcAN4RfAADyk5kp/fij\nWY8rLU2qWVPq2VPq3//yi9jWqmXCr0/+f80eOmQy8b59UkaGWfMWQMlgzi8AAOft2SMtWWLSqY+P\ndMMNUteuUmCgRx8zdaqZFly9unTkiFmjF4BnMOcXAICCpKZKK1ZI69ZJLpdJpH36uDWnedqhQ1Kl\nSmbkt2lTs0Mao79AyWHkFwBgHy5XbqPayZMmhXbvLrVvL1WoUCIlTJ0qPfWUGWBu1cr0zq1dy+gv\n4CmM/AIA7O3oUSk2Vtq2zczVvf56aejQ/LdEK2ZpaWY3swv/Pm7Z0gRhACWDkV8AQPmSkeHeqBYS\nYhrVrrvu8o1qJeiTT8zIb3i4tysByhdGfgEA5d9vv5nR3UOHJF9f06j29NMeb1QDUPYRfgEAZc/p\n06ZRbf16M483LEy6806pQQNvVwaglCP8AgBKP5dL+uUXaflyKSUlt1Ft6tQSa1QDUD4QfgEApdOR\nI2Yqw/btZg/gNm3MkghVq3q7MgBlGOEXAFA6ZGRIa9ZI//63lJ5uGtVuvVV65JFS1agGoGwj/AIA\nvGf3brPO1+HDZpeHzp2lv/xFCgjwdmUAyinCLwCg5Jw+Lf3wg/Tzz2Ye7zXXSHffLdWv7+3KANgE\n4ReAZ9x8sxQRIb3xhrcrQWnickkbN5pGtVOnpMqVaVQD4FWEXwCF88cfJrB8/72UmGiajlq1kiZO\nlHr0MHMyPT0v8/33pdGjzWghyo6kJNOotmOHaVT705+k4cNpVANQKhB+ARTOffeZ3bIWLJCaNjWd\n+KtWScePe7syeFt6umlUW73afF2njtSrl/ToozSqASh1CL8ALu/kSRNsli0zP7KWpIYNpXbtCr7m\nH/+Q5swxo3+BgVK3btLrr0v16pnXV66UoqLMPSdNkrZsMfu8zp9vRgpXrpSGDDHnOp3m92nTpOef\nL6Y3iUKzLGnXLjO6m5hoGtVuvJFGNQBlAuEXwOVVqmR+ffWVCTn+/pe/JjNTmjFDuvZaM2XimWek\n/v3NaPGFJk+WZs40o4VjxkgPPyxt3Wqe8/rr5vU9e8y5FSt6/r2hcE6dcm9Ua9ZMuvfe3H/MAEAZ\nQfgFcHk+Pmb+7bBhuSOzN94oPfCA1KFD/tdER+d+3aSJ9Le/mZHdw4fdA9OMGWZUWDKjujfdlHtO\nlSrmx+YhIcX1zlAQl0vasMEE3vONalFRZgthGtUAlGGEXwCFc++9Uu/eZgOCH3+UFi+WZs+WXnrJ\nTFuwLPfzN2yQpk+XNm0y84LPv75/v3v4bd069+u6dc3vR48yougNiYlmKsPOnWaqSWSkNGKEFBzs\n7coAwGMIvwAKz9/frOzQo4c0ZYoZCZ42TXr6affzzpwxO3P16mXm/oaEmKkPXbqYXbwu5Oub+/X5\n5iiXq1jfBv4rPd3M5V692vy51K1r/swGDqRRDUC5RfgFcOWuu07KzjarQFxo+3YpOVn661+lxo3N\nsS1bin5/Pz9zf3iGZZlR3dhYsxyZn5+ZZjJxYuHmcQNAOUD4BXB5yclmfu9jj5mNLCpXltavN41q\nt9xivpdypzY0amTC1BtvSCNHStu2mZHiomrSxATrZcukNm1Mw1tgoMfeli2kpOQ2qlmW1Ly5dP/9\nuVNMAMBmCL8ALq9yZemGG8zSZbt3mx+X168vPfKI9Nxz5pwLN7moVUtauNCs1PDWW9L110v/7/9J\nt9/uft/8frR+4bHOnaXHHzerRCQns9RZYWRn5zaqnT5tmgajoqS77spdMg4AbMxhWRd3qRgpKSk5\nXwfT7AAApdfhw2Yqw65dZiWGyEgTeKtU8XZluIRPPjGbJIaHe7sSoHy5XIZl5BcAypq0NNOktmaN\nWU/5fKPaoEE0qgHAZRB+AaC0syyzU15srFkGzt+fRjUAuEKEXwAojU6elJYvlzZuNOG3RQupXz+z\nEx4A4IoRfgGgNMjONito/PCDlJpqNpa45RbpnntoVAMADyL8AvCslBQzSrl2rRQWVvB5c+dKK1ZI\nX35ZcrWVNocOmakMu3ebRrW2baUnnqBRDQCKEeEXgGe9+qrZAe5SwVeShg83WyOvWye1b18ytXlb\nWprZHnrtWtOoVq+eaVSLjvZ2ZQBgG4RfAJ6TkSG984708ceXPi8rSwoIMBtnvPWW9P77JVJeibMs\ns9tdbKzZ3tnf32zxPGmS2V0NAFDiCL8APGfZMuncObPG7HkrV5rvv/tOmjpV2rTJTHW44w6pb1/p\nvvuk994zP/YvD06cMI1qv/xivr/2Wumhh6Tatb1bFwBAEuEXgCfFxZkNFvJba3biRGn2bKlpU6lS\nJXOsfXvpzBnT6NWxY8nW6inZ2WbqxooVplGtalUz7ePee2lUA4BSiPALwHN27ZIaNcr/tWnTTCi8\nULVqZuvknTvLVvg9eFBaskTas8eMWLdrJ40aZd4LAKBUI/wC8JzTpwv+8X67dvkfr1LFrBBRmp07\n596o1qCBaVR77DFvVwYAKCLCLwDPCQ42ATg/FSvmf/zUKTNVoDSxLGnbNmnpUtOoFhBgGtUmT6ZR\nDQDKOMIvAM9p2tSMjhbWiRMmLDdrVnw1FaWWZctMQ54kXXed1L+/FBLi3boAAB5F+AXgOV26mKXL\nLCv/preLJSRIQUFmc4eSlp1tnr9ihWm6q1bNzEm+7z4a1QCgHCP8AvCcHj3MFIHly92b2woKwl9/\nLd1/v+RTQv8pOnDANKr9/rtpVGvfXnryydzVJwAA5R7hF4Dn+PmZndtiYnLD7803m1HWi507J332\nmfTNN8VXz7lzZvm1tWvNxhoNGki33nr53ecAAOUW4ReAZ02YILVoYZYBu1TIfOcd6cYbpQ4dPPds\ny5K2bjWNaseOmVHorl2l556TfH099xwAQJnlsCzLyu+FlAuWHgoODi6xggCgSI4fN41qmzeb78PD\npZ49pVq1vFsXcBmffCK1amX+JwvAcy6XYRn5BVC2ZGWZRrWVK6WzZ3Mb1R54oHBNdgAAWyP8Aij9\n9u83jWr79plGtQ4dpDFjCl47GIAbp9Opzz77TPfee2+B50ybNk2ff/65fv31V48//9ixYwoJCdHK\nlSvVtWtXj98fKArCL4DS5+xZadUqKT7ejPQ2bGga1UJDvV0ZUObt3btXYWFhWr9+vSIjI3OOT5gw\nQWPGjMn5fvDgwUpOTtY3xdmUCngB4ReA91mWtGWLaVRLTpYCA6Vu3WhUA4rRxS0/FStWVEV+mgIb\nYCV3AN6RnCwtWmQC7pQpJvwOHCi99JI51qULwRcopMWLF6tLly6qXr26atSoodtuu03bt2/P99yw\n/67C0r59ezmdTkVFRUky0x4iIiJyvv7ggw/03Xffyel0yul0Ki4uTnv37pXT6dSGDRvc7ul0OvXF\nF1/kfL9u3Tq1bdtWgYGBioyM1E8//ZSnjq1bt6p3796qUqWKateurQEDBujIkSMe+TyAS2HkF0DJ\nyMqSfvrJTGc4e1aqXt00qvXrR6MacJXOnj2rp556Sq1bt9a5c+c0Y8YM3Xnnndq2bZt8LtpEJiEh\nQR06dNCSJUt0/fXXy8/PL8/9JkyYoO3bt+vEiRP68MMPJUnVqlXToUOHLltLamqqevfure7du+vD\nDz/UwYMH3aZTSFJiYqK6du2qYcOG6bXXXlNmZqYmT56su+66Sz/++KMc/DcBxYjwC6D47NtnGtX2\n7zeNah070qgGFIOLG9kWLFig4OBgJSQkqHPnzm6v1axZU5JUo0YNhYSE5Hu/ihUrKiAgQH5+fgWe\nU5CPP/5YmZmZiomJUVBQkMLDw/Xcc8/p0UcfzTnn73//u9q0aaOXX34559jChQtVo0YNrV+/Xu3b\nty/SM4GiIPwC8JwzZ8zI7k8/mZHexo2lXr2kJk28XRlQrv3222+aMmWKEhIS9Mcff8jlcsnlcmn/\n/v15wm9x27Ztm66//noFBQXlHOvUqZPbOT///LPi4uJUuXJlt+MOh0N79uwh/KJYEX4BXDnLkn79\n1WwykZwsBQXRqAZ4QZ8+fdSoUSPNnz9f9evXV4UKFRQeHq6MjIyruu/F0w+cTtMqdGGzXGZmZp7r\nCtg/y+31Pn36aNasWXleK+pIM1BUhF8ARZOcbFZl+PVXM1e3VSvTqPbfH6UCKFnJycnasWOH5s2b\np27dukmSNmzYoKysrHzPPz/HNzs7+5L39fPzy3OPWv/dOfHw4cNq27atJOmXX35xOyc8PFwLFy7U\n2bNnc0Z/4+Pj3c6JjIzUJ598okaNGuWZkwwUN1Z7AHBpmZnS6tW5qzB88IHUsqX04ovm10MPEXwB\nL6pWrZpq1qyp+fPna/fu3Vq1apUef/zxAkNlSEiIAgMDtXjxYh05csRtK9gLhYaGasuWLdq5c6eO\nHTumrKwsBQYGqlOnTnrllVe0detWrV27Vk8//bTbdQMGDJCPj4+GDBmirVu3aunSpXrppZfcznni\niSeUkpKiBx98UAkJCdqzZ4+WLVumESNGKDU11TMfDFAAwi+AvPbuld5+24TdF1+UTp+Wxo0zX48b\nJ0VEsEIDUEo4nU4tWrRImzdvVkREhEaPHq0XX3xR/v7++Z7v4+OjuXPn6t1331X9+vV1zz33SDJT\nHC6c5jBs2DBdd911ateunWrXrq21a9dKMs10klkq7c9//nOeYFuxYkV9++232rVrlyIjI/WXv/xF\nM2fOdLt33bp1tWbNGjmdTt12221q1aqVRo0apYCAgALrBjzFYRUwMefCfwkGBweXWEEAvODMGWnl\nSikhQcrOzm1Ua9zY25UB5dYnn5hZQ+Hh3q4EKF8ul2GZaAPYkWVJmzebRrXjx83SYzffbDabYP4d\nAKAc4285wC7++MM0qv3nP2bKQkSENHiwVKOGtysDAKDEEH6B8iozU4qPN+vunjtnmtJ69pT692e+\nLgDAtgi/QHny++9mR7WDB830hU6dpKeeMuvvAgAAwi9QpqWm5jaquVxmJ7U77pAaNfJ2ZQAAlEqE\nX6AssSxp0ybTqHbyZG6j2vPP06gGAEAh8LclUNodPWoa1bZuNXN1r79eGjJEql7d25UBAFDmEH6B\n0iYzU1qTSPxxAAAN7klEQVS7VoqLk9LSpFq1TKPagAE0qgEAcJUIv0Bp8NtvplHt0CHJ11e64Qbp\n6aelwEBvVwYAQLlC+AW8ITVVWrFCWrfO7KgWFibdeafUsKG3KwMAoFwj/AIlweUyjWrLl+c2qnXv\nLk2dKlWo4O3qAACwDcIvUFyOHpViY6Vt28xc3TZtpMcek6pV83ZlAADYFuEX8JSMDNOo9u9/m0a1\nkBDTqPbwwzSqAQBQShB+gauxe7cZ3T3fqNa5M41qAACUYoRfoChOn85tVHO5pGuukfr2lRo08HZl\nAACgEAi/wKW4XNIvv5hGtZQUqVIl06g2bRqNagAAlEGEX+BiR46YqQzbt0tOp2lUGzZMqlrV25UB\nAICrRPgFMjKkNWtMo1p6umlUu/VW6ZFHaFQDAKCcIfzCfiwrt1Ht8GHJz880qv3lL1JAgLerAwAA\nxYjwC3s4dUr64Qfp55/NPN6mTaW775bq1/d2ZQAAoAQRflE+uVzSxo3SsmUm+FauLEVFmS2EaVQD\nAMC2CL8oP5KSzFSGHTtMo9qf/iSNGEGjGgAAyEH4RdmVnm4a1VavNl/XqSP16iU9+iiNagAAIF+E\nX5QdliXt2mVGdxMTTaPajTfSqAYAAAqN8IvSLSUlt1HNsqRmzaR775Xq1fN2ZQAAoAwi/KJ0cblM\n0P3hB9OoVqWKaVTr25dGNQAAcNUIv/C+xERpyRJp504TcCMjpccfl4KDvV0ZAAAoZwi/KHnp6aZJ\nbfVqs7ta3bqmUW3QIBrVAABAsSL8ovhZlhnVjY01y5H5+Uk33SRNnCj5+3u7OgAAYCOEXxSPlBRp\n+XJpwwYTfps3l+6/34zyAgAAeAnhF56RnZ3bqHb6tGlUu+UWs4Ww0+nt6gAAACQRfnE1Dh82jWq7\ndplGtbZtpZEjTfAFAAAohQi/KLy0tNxGtcxMs9Zur17S4ME0qgEAgDKB8IuCWZa0Y4dpVDt61DSn\n3XSTNGkSjWoAAKBMIvzC3cmTplFt40YTflu0kPr1k+rU8XZlAAAAV43wa3fZ2dL69aZRLTXVbCxx\nyy3SPffQqAYAAModwq8dHTpkGtV27zaNau3aSU88UayNaikpZhB57VopLKzYHgMAAHBJhF87SEuT\n4uJM8szMlOrXN41qQ4aUWAmvvir16EHwBQAA3kX4LY8sS9q+3YzuHj0qBQRIXbtKkyeb3dWu0JEj\n0pw5UmioVLmylJhoZk2MGSP5+hZ8XUaG9M470scfX/GjAQAAPILwW16cOGEa1X75xYTfa6+V+veX\natf2yO3375f69JH++U+pZcvc4wsXmuPffSf5FPC/pmXLpHPnpKgoj5QCAABwxQi/ZVV2trRunbRi\nhWlUq1rVNKrde2+xNKqNGCE9+KB78JWkQYOkt9+WZs+Wnnkm/2vj4qTISJYCBgAA3kf4LUsOHjRT\nGfbsMQG3fXtp1CgzB6EYJSaaxw4bJn3xhcnX582fb+byxsQUHH537ZIaNSrWEgEAAAqF8FuanTuX\n26iWlWUa1W69VXrssRItY98+83vdulLPnu6Pb9pUGjo095z8nD7tsdkXAAAAV4XwW5pYlrR1q7R0\nqWlUCww0jWrPPntVjWpXq2FD87uvr5lhcbGpU6XGjQu+PjjYBGAAAABvI/x62/HjpiNs0yYTfsPD\nPdqo5gn165sR36VLzZLAF1u+XIqOLvj6pk3N4DUAAIC3EX5LWlaWe6NatWpm0uz995fqHdXefVe6\n4w5TZrNmucfff9+spPb00wVf26WL9NZbJtvT9AYAALyJ8FsSDhwwHWO//252VGvfXnrySalSJW9X\nVmgNG5odkN94Q6pXz2wGl5hoAu2SJeZtFaRHDxOQly83XwMAAHgL4bc4nDsnrVol/fijGelt0MA0\nqpXx7c1q1ZJeeKHo1/n5ScOHmxUhCL8AAMCbCL+eYFnSf/5jJsUeO5bbqPbcc5fe+sxGJkyQWrQw\nq7SV8X8DAACAMozwe6WSk02j2ubN5vuWLaVHHjHDo8gjOFhKSvJ2FQAAwO4Iv4WVlSUlJJhGtTNn\npOrVzRII/frRxQUAAFBGEH4vZf9+0821d6/p6OrQQRozpkw1qgEAACAX4fdCZ8+aRrX4eDPS27Ch\naVQLDfV2ZQAAAPAAe4dfy5K2bDGNasnJplGtWzca1QAAAMop+4Xf5GQTdn/91XzfqpX06KM0qgEA\nANhAmQ+/LpdLBw5kSpIaNvSV8+Jd0rKyzDSGlSvNtIaaNc1isw8+SKMaAKDYrV8vLVokDRwoRUR4\nuxoAZTr8ulwuxcamKzraX5IUE5OuXr385Ty/o9revZKPj9SxozRunFSxoncLBgDYTrt2UuvW0ocf\nSh98QAgGvM1hWZaV3wspKSk5XwcHB5dYQUWxb1+6OnXyVVKSGe2tXt2lBe9mqO7GZVJkpNmHFwCA\nUiIzU/r+ezM206yZ9MADUni4t6sCypfLZdgyPfJ7McuSTqRUkG+nPubAMe/WAwDAhSzLzLhLTZWu\nuUZq2tTbFQH2U6ZHfi+e9tC+/UidPr1DK1as8HJlAADksizpq6+kuDipb1/p5pu9XRFQfl0uwzrz\nHCkBgwcPltPplNPplK+vrxo0aKBBgwYpMTGxSPdxOp3q1ctf8fGZio/PVMOGFeSgiQ3wOMuy1LVr\nV/Xt29ft+NmzZ9WiRQuNHDnSS5UBpd/GjdL48VLVqtJrrxF8AW/zSvh1OBzq2bOnkpKStG/fPsXE\nxGjFihUaOHBgke/ldDrVuLG/Gjf2l8PhUAED2YWWlZV1VdcD5ZHD4dDChQu1YsUKxcTE5Bx/5pln\nZFmWZs+e7cXqgNKtdWtCL1CaeCX8WpYlf39/hYSEqF69eurZs6ceeOABxcfHSzLTGR577DGFhYUp\nKChIzZs316uvvuoWbLOzs/X000+revXqql69usaNG6fs7Gy35yxevFhdunRR9erVVaNGDd12223a\nvn17zut79+6V0+nUv/71L0VFRSkoKEjz588vmQ8BKGNCQ0M1a9YsjRs3Tvv379fy5cs1b948vf/+\n+woMDPR2eUCpVaGCtysAcCGvhF9JbkF2z549Wrx4sdq3by/JhN8GDRro008/1fbt2/XSSy/pr3/9\nq9uI0+zZs/Xuu+9q/vz5io+PV3Z2tj7++GO3aQ9nz57VU089pXXr1mnVqlUKDg7WnXfeqczMTLda\nJk2apFGjRmnbtm266667ivmdA2XXiBEj1KlTJz3yyCMaMmSIxo8fr86dO3u7LAAACs0rDW+DBw/W\nRx99pICAAGVnZystLU29e/fWwoULVb169XyvmThxon7++WctXbpUklSvXj2NHj1akyZNkmTC9LXX\nXqv69evrhx9+yPceZ86cUXBwsOLi4tS5c2ft3btXYWFhmj17tsaNG+fR9wiUV+f/f9OsWTNt2bJF\nvmwFDgAoRUplw5skdevWTZs2bVJCQoJGjx6tVatW6ciRIzmvz5s3T+3atVNISIgqV66s119/XQcO\nHJBk3lRSUpJuuOGGnPMdDoc6duzoNqL822+/acCAAWratKmCg4NVp04duVwu7d+/362Wdu3aFfO7\nBcqP9957T0FBQTp48KD27Nn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -642,7 +642,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -667,7 +667,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -690,7 +690,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -765,16 +765,16 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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5dPIQn6eW8k2aH8etfckpHIvDaNjf2tq3c64QNGsc3DoefNsrBIjI1eX2b7Gn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\n", + "image/png": 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4zW9+o0JqEZEuyjAM/pJWxo6dlez+eyj2ijBg8Dmv6x8Es8e5Q8DMMe5C4SGR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\nM2eOtk50dLTYvXt3US6XiyEhIWJmZqYBI6bOrK7jtby8XBw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Ey8vLEaeTbBr2oG35t4Pw4TfOiUVERERE8oYsE/3Jkyfj4uKCq6srAIMGDcLF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\ntWt56qmnCAaD+Q5PiBw//vGPcbvdZDIZPv/8c2666SY2btzI8uXLZX8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CL0ez7mQkMTHRUaeSbOrZ3Hb7h61wJV6z74iIiIgUZA5J9C9evMjKlSvx9/d3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\n1Lhx49SKFSuyGLE4lHV0vEajUXXKKaeogoICZVmWKisrU7/4xS/Uhg0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MGjUKb775Zm9ug1WwZoCIiIiI+rsuawZWr16NJ598Eg899BB8fHzMlnF3d8eQIUNw5513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\n", 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bx/KUlBRCQ0M9OhoXFxezd+9e0tLSAEhNTaWyspLCwkJ3mcLCQqqqqtxl2jLo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\n/Pj1ReuaB0vja9NUy9DyKohrnud+W18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"text/latex": [ "$$\\left[\\begin{matrix}\\frac{x_{pos}}{\\sqrt{x_{alt}^{2} + x_{pos}^{2}}} & 0 & \\frac{x_{alt}}{\\sqrt{x_{alt}^{2} + x_{pos}^{2}}}\\end{matrix}\\right]$$" ], @@ -909,7 +909,7 @@ "⎣╲╱ x_alt + x_pos ╲╱ x_alt + x_pos ⎦" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -974,7 +974,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -1001,7 +1001,7 @@ "⎣ 2 ⎦" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -1027,7 +1027,7 @@ "\n", "So, time to try a real problem. I warn you that this is far from a simple problem. However, most books choose simple, textbook problems with simple answers, and you are left wondering how to implement a real world solution. \n", "\n", - "We will consider the problem of robot localization. In this scenario we have a robot that is moving through a landscape with sensors that give range and bearings to various landmarks. This could be a self driving car using computer vision to identify trees, buildings, and other landmarks. Or, it might be one of those small robots that vacuum your house. It could be a search and rescue device meant to go into dangerous areas to search for survivors. It doesn't matter too much. \n", + "We will consider the problem of robot localization. We already implemented this in the **Unscented Kalman Filter** chapter, and I recommend you read that first. In this scenario we have a robot that is moving through a landscape with sensors that give range and bearings to various landmarks. This could be a self driving car using computer vision to identify trees, buildings, and other landmarks. Or, it might be one of those small robots that vacuum your house. It could be a search and rescue device meant to go into dangerous areas to search for survivors. It doesn't matter too much. \n", "\n", "Our robot is wheeled, which means that it manuevers by turning it's wheels. When it does so, the robot pivots around the rear axle while moving forward. This is nonlinear behavior which we will have to account for. The robot has a sensor that gives it approximate range and bearing to known targets in the landscape. This is nonlinear because computing a position from a range and bearing requires square roots and trigonometry. \n", "\n", @@ -1036,7 +1036,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": { "collapsed": false, "scrolled": true @@ -1046,7 +1046,7 @@ "data": { "image/png": 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6r5pcVUhLO6t27fj1gD0CBYA6QzPkna0mm1tdv55X+4XALRAoADiMZsj6qSYr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\nRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1171,7 +1171,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": { "collapsed": false, "scrolled": false @@ -1198,7 +1198,7 @@ "⎣0 0 1 ⎦" ] }, - "execution_count": 13, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -1238,7 +1238,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -1288,7 +1288,7 @@ " ⎦" ] }, - "execution_count": 14, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1348,7 +1348,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -1371,7 +1371,7 @@ "⎣ (px - x) + (py - y) (px - x) + (py - y) ⎦" ] }, - "execution_count": 15, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -1394,7 +1394,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": { "collapsed": true }, @@ -1428,7 +1428,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": { "collapsed": true }, @@ -1479,7 +1479,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": { "collapsed": true }, @@ -1556,7 +1556,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": { "collapsed": true }, @@ -1582,7 +1582,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": { "collapsed": false, "scrolled": true @@ -1632,7 +1632,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 20, "metadata": { "collapsed": false, "scrolled": true @@ -1640,9 +1640,9 @@ "outputs": [ { "data": { - "image/png": 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vpp0sEllN0sU2PbPKUm+a6eYMe2cXWGq2j4bpbNoi7ObottL0eibJMWn6hCCt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\nTAzTRERERERlYpgmIiIiIirT/wOpW+gvUHhBswAAAABJRU5ErkJggg==\n", 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UQgghrilKaaYWG8wshDzy+AKHZhaY86fYvCFDV/nUoGrbBpZhkyZrP7YNA3q7HbTdYaEz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\n3mbYe7Dg4AFozmTUZIvBdsRg27vieWumgf/5BtEYA91eydPHM6pmhT3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RzNhkMgm5tE7KNl6rl0GIi86aNWuO/b1YLJ60/ZzKPLq7uzFNk3Xr1p3w+NVXX82RI0fO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U4m1vexvvfve7ed/73nc+hxZCCCEuqSiKKXtNHtw+xmPPHOZQaRw302SoYBAG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\nBiNFYFXYV19mub7AWw8s06pWKKREakngQRBY1z1En1VIRcnlkm3zDMM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1686,7 +1686,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 0.01981129 0.02080953 0.001537 ]\n" + "[ 0.02026067 0.0203502 0.00153694]\n" ] } ], @@ -1711,7 +1711,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "collapsed": false, "scrolled": true @@ -1719,9 +1719,9 @@ "outputs": [ { "data": { - "image/png": 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DyNw4x9ZZlQbw5Nv48J56biu7CYe2jBOnw7R2LROLaLAYjJiNG66CK4RAAmkh\nhBCCRCJJOBIjloiRZdGSl6OnqcGMwbrEMd8pfvjbNgbGMuckA9xUWUBxtovRyWjGIHpFRZmJ8cAo\nrYNjjEwtpB1vrCxgR7kHT3YJnX2hNTf8FxfqmQiM0+2dIXaB9BO308Zj+7azb3sjNxftwJYspSav\nji0eB2ajft1rhRDrk0BaCCHEDS8aixNNxFDUJKqaqnChqiq1lWas9hAtY+38++86GZ1OD34BKopy\neHrgXgxY+fTWr6Qdb25OPRr1KkWFWgb9Xn57aijjWPftqqLOVY42ns2AN3OKh8WkQW+IM7U0d1Fl\n7ExGHftureL/3NfEQ3tv5aO7b2LfrsoLXieEWJ8E0kIIIW54ep0Gk14PSS2R6Oray1vKzZiygpwc\nbecnr3cTCkfTrlc/q3LswVFK7B6GRsJpbbxbW8/+2ePSMxuZomdsgl7fTNpYBr2WfbsqacjfwuQk\nzM6nvx5AXq6WqSU/fWtU78jE5chiZ00R26sK0xq6CCHePgmkhRBC3PAURcGRbcaiM7MUSE+VqK00\nEdXM0z42yItH+1df+1aXwu1VhVTkF6JNWhmbTOVKNzenuhOudClsbgatVsVTpGfQ7+XNjsw5ziUF\ndm6vL2WLs4rOvlDGTYEOu5a50KzUgxbiKpJAWgghhCC1WmszZjOXoR60oijUVpkYWRymZcBLa/9E\nxi6Fd9S7qcgpY8gXIR5PrtmlsKhAz0JklsGJGcb9Sxnnc+fWEra6Syg0u2ntChKNrc6Xtlo0RJJB\nZpaWmFsMXsJ3QghxsSSQFkIIIQCPMwu7ycb8QuYNfmajhvISHR2T3Wz7ZiGzf5gevNaVOalyFZCt\ndTA8eja/+fwuhRpNqvKGb2Gclt7xjK+nqgrvv7OW7e5qrKqT9u7gqmYxiqKQbdWwGFpiYnbtMnhC\niMtHAmkhhBCCVHULh9lOKKiyHMpces6Vb+CfF5/gcee3+Okb3Wm50IqisHd7GZWOMkbHYwTDqZSM\nTF0Kiwr1jC+N0zk8lTHvGsBs1PGh3XXscNehi+dwumt5VWdEjQbiyTjxRDLj9UKIy0sCaSGEENcl\n39QCLx3t4zcnBvCtUW3jXHqdhupiB/kWJ6MT6YHtSoOVv7rzb5kJjdM1Osbp/sm08zz5NhrLXRRZ\ni+kdSG+8ssJi0mDNSuKbm+RUhnFW2LNMfGRPPTtLtmJIOGhpX2Z+6ez8kskkEkYLcXVIIC2EEOK6\n45ta4NvI3hPWAAAgAElEQVQvtfJvbx7lB6+/ycFfHudfm9uZXVg/l/imygKKbIVMTsdW1XA+tza0\nTqdSXmKgzz/Ia21eIhnabO9pLGNLfinhgBHf+DpdCvP1jC6Oc6p/Im11+1wOm5mP7q3nltKtFJvL\nae+M0toVYHYuTpbRgt1iuNBbIoS4DCSQFkIIcd052jVK38wQQc0YScsEx8aO81JbC999+TTjM5k3\n9wG48224c3Mxqlb++NB/WtXm+1wFeToUXYC+SR+H231p42RZDNzTVEldfg2D3hiBYOamKY5cLZHk\nEmOzcxfMc87NNvPofdu5f8cObnHfjENbRk3eFiry8ynKy7rQWyKEuAykN6gQQojrSjyeYGYhxGJ4\nnppyA1lWDSXFCTp6JjgyHCTWnOAjuxtwrRF8bi3L5/968z/yaMGXaKyzpB1vboY9exQqSg10dg1z\nvKeAm2uKMBt1q86rL3MyOO5mNjhPR88ATVstZ5q9rFAUhRy7hpmAn/7RWQpzrevem16nYe+OMm6q\nKsA7OU8ikaShPB9FUda9TghxeciKtBBCiOtKIplkKRghmoxg0Kf+mdPrVLbWmlBNCxwfaeXfXm1n\nei59BVh5WmFrRT5frP8dS4sKS8vpaRsrzVXs2TrM1jiD/lEOd4xknMt7bq6gvqgUQ9JO/3DmFI9c\nu47Z4BzDkxdfDzony0RjZSHbq13opLGKEFeNBNJCCCGuK4qioNWoKCgkzsk71qgqdVUmFMMiLb4O\nXnitm2jsbMrFSmMVk0FHY3kh7uxiBs9p0Z2puUp5iYGRBS8tveMEQ+kbFPU6LftvqaI+v5qpKZia\nTj/Hnq1hMbLI5Gxg3TxpIcS1RwJpIYQQ1xWNqmCzGNBrTIRCqwNTVVWpqzaxFJ+hc3yI5pNDwNkg\nesVt9cWU5hazuKCysJRalc7UXCXLosFsSTA6P0XrYObKG8XObN7VWE5Dfh09AxH857X81utUdPok\n88ElJqUetBCbigTSQgghriuKouCwmbBozSwG0lMztBqVmkoT/f4B3vuTSnpHZlYF0QBWs4EdVUWU\n2Dz0D61OyTi/uYqrQMfY4gRtA1Nrzum2ejd31VdQm1dHZ3eEubRgGiLxKOFo5k2JQohr0wUD6UOH\nDvHAAw/gdrtRVZWDBw+eORaLxfj0pz/NTTfdhNVqpaioiIceegiv13tZJy2EEEKspzDXSpYxi4XF\nzIFptlXLvwb+kIdsf8eLR/sJBCNp59xWX0xFnptoyMDUzNnA9/zmKnk5OkLJRbwzfkYm165Xfc/N\nFdxWkwqm27sjTPnPjplIgqqoaDWyaVCIzeSCgXQgEKCxsZHnnnsOk8m0amdwIBDgxIkTfOYzn+HE\niRP8+7//O16vl3379hGPy0/VQgghro6S/GxyzXbmF5LEYul5x0+98jhf2PN3aAwBOif6+fXxgbRz\njAYdtzW4qcgtp284RDyeOX9ZVRUK8rSMLUxyemBizTkpisL9t1VzV30lDc4GBvrhdOcyUzMRwiEw\naAwYdFJMS4jN5IJ/Y/fv38/+/fsBeOyxx1Yds9lsvPjii6ue++pXv0pDQwOdnZ00NDRcupkKIYS4\nIY1NL/LisX5mF4NkWww0VRWyraIAjWbttaCcLBNlBXa6p+xMzy5T6EyVpltprLJSF7qmwsTxVh+t\nQ052VBXiKbCtGmdHlYvWgUkmFifpHZqjpsKU8fVc+TpaJibo8s7w7h3lGPSZ/3lVFIX7dlWRYzXh\n6Mimb3oE3/AcRdZCygpycNjMG3mLhBBXySX/0Xd+PlW+Jycn51IPLYQQ4gYTjsR44bUu3hw6zcyy\nH6vBSu+4m6PdLj54Vy25awSeiqJQW5pHy2A+41M9FDp1q7oTrjAaNRTma+j3D3HoVB4ff8+2Vb95\nVVWFfbuqmJ4PcHj4BNO2KHkO3fkvh9mkwWhKMLWYKmNX7XaseU+KonBrvZuGMieHO/OZnlvGbNSx\nu7F0g++SEOJqUZJvo9ZOVlYWzz//PI888kjG45FIhLvvvhun08mPfvSjVcdWAmyAnp6eDU5XCCHE\njWRwcpGfnuxjLDLAljKF+aUk41MK5mQO1bkl3L21EKct8ypxKBLjB68Nc9rfzsuGp3my8jOrjh8/\nbqWpaYlYPEl7b5JKazX7G8vxONObsLR55/ht5wgDgV5qK0GvS89l9k1AcjGfd9dWs6sq79K8AUKI\nq666uvrMn2221b+1umRVO2KxGA8//DALCwv84z/+46UaVgghxA1sLhBlORYkywIajUKuTaW2QiGm\n99Mx08/Lp8eZWQhlvPZdv7qd5wIfw6az89Gsz6Qd7+tLBeBajUK+A8YC45wans1Yy7nebaMqPxeH\nroAhH2RagsoyJwnEAkzNZ56PEOL6c0lSO2KxGA8++CBtbW288sorF0zr2Llz56V42cvu6NGjwOaZ\nr9gc5HMlLrXr+TM1k+jFPjmBJQ/chYYzz3s8Sdq6g8yElxhcMrL7jpswvdWie6UmdHJnkv7RWb71\n0glOT7fgclnQahWam1PdCX0+eOEFD1u3wp3vSnCkJQAWM7lFlVQW56bNpa4hwjdebOG1gRZiyRAV\nJcZVx6PRJHNLIWyOInbsaFo3h/tadz1/psTVs1k/V+dmVZzvHf8tj0ajfOxjH6O1tZXf/OY35Ofn\nv9MhhRBCCADMRh1ajY5oNLHqeVVVaNhiIqKZpWNskBeP9QPpjVXKXXaqi51ka/PwTaRK3GVqrKJV\nVVz5WnzzY2s2VrGa9ey7pZpGVx0z01qGfavrS+t0CooaIxAOs5yhy6EQ4vpzUeXvWlpaaGlpIZFI\nMDQ0REtLC16vl3g8zkc+8hEOHz7Md77zHZLJJOPj44yPjxMKya+2hBBCvDPZZgMmrSGtQyGkgum6\nKhMjS8O09HvTgmhIbey7pc5Nqd2NbyxKNHr2+PmNVQqcemaCM/SP+QmGMwfCFUU5vO/WLTQWNjA+\npjI4sjqYjidARYN2E69GCyEu3gX/ph85coSmpiaampoIhUIcOHCApqYmDhw4wMjICC+88AJjY2Pc\nfPPNFBUVnfn6/ve/fyXmL4QQ4jrmtFuwGiwsBTP3JjAZNfzr0lN0THbzPxtewz+/nHZOhctOjTsf\nh76AoXNWkc9vrGIyaLBaYXxhio7h6TXntLW8gP231HBT0TamJrS0dS2zHEwQCifQKlqMei1arQTS\nQtwILpgjvXfvXhKJxJrH1zsmhBBCvBNOuxmb0UokpBIOxzEYNKuOr5S0a+9ZpnNigJdOZPPRvat7\nGCiKwrsaS+kf83N0dIqiggRmU+ZANz9Px/joJO2DUzRVu9ac1/aqQgw6DaYjevqnRzh52kdCiZNv\nKsadn4WqSIdCIW4E0kJJCCHEFRMKR2kbmiISjVOcl0VJgX3d83VaDeWuXNonHEz65/G4zgbS59aF\n3lJu4s0T43SNFNLnc6VtFizKy+KmKheTS6V09A6yo8GMqqYHu84cLQPDC4xM+/EvBMnNzlxaD6Cu\n1EmRI4vX2hy0DhQRDEcpyMnmjobiTb3RUAhx8SSQFkIIcUUshyJ848WT9E2OEolHcFhyKclzcPf2\nMkoL1w6oa0scHOnNY3BmGo/LkNadEECrVSgu0tI/PcTvWh0Zq268e3sZvskF/H2zDI0EKC8xpJ2j\n1WrIzlKZDc3hm15YN5AGsFmN7L+1mj2NpSwGI2SZ9ZiN+rfxrgghNjP5kVkIIcQVcejUMB1jg/iW\n+wgbRjk12UJz93G+/8ppTvaOr3ldZVEuzw7dT2hZzdidsLk59ehxGViK+emfmKTLO5M2jtGg495b\nKqnNr2J8PMncQizj62VZVOaDi4zNLF30vZlNegpyrRJEC3GDkUBaCCHEFeGdXGBiaYItFUa2lJu4\nbYcVk22JY75T/ORwJ8e6RjNep/9LLT++twunJY8nKr6cdry1NfWoqgpul57huRGOdPoyjlVaYOeO\nhlKqcqvp6gsRi6VXA7FatASiy/gXghu/WSHEDUECaSGEEJddMBzFvxQgkgyRZU3lOauqQlWZEVdx\ngpNjp/nF0W56RlavJK+UtLupogC3rYixyRixWGqTe3MzPP889PenHpuboahAz0JslsGJGcZmFjPO\n5a6tHhpKinHoizjVsUw8vjqYNhtVQrEgc0sSSAsh1ieBtBBCiMvu3CoWynkVLTwuA4WuJB2T3bx4\npI/FQBjl6dQ5K3WhPQU2Kgud5Ogd6zZW0WgU8nI0TCxN07lGCTuNRuX3bt/Cdk81pmQepzqXV69M\nK8mMbcKFEOJ8EkgLIYS47HRaDXpVSyKhEM9QNrW02IDGGKBjfIDsLxhJ/Pf0c26rd1Oa68E3FiMa\nO3v8/MYq+Xk6pgPT9Iz41wyIbVYjH9pdR5OnFnMyn5PtAZaWU7Wqg6EkRq2RbIsx47VCCLFCAmkh\nhBCXnaoqZFkMGDUGgqH0IFlRFL4x+YdMLPv4TNkveLMjPce53JVDTXEhuUYnQyNrN1axZWmIKcuM\nzc7hnZxfc04Om5n/456t3FJWR76+jJOtYVq7AvQPh8k15+K0mzd+w0KIG4KUvxNCCHFF5NnMWPRW\nFhYXsZrP/vPz1CuPA/DFvV9lejZKV28PjvZsGsqcWM2rS9Tt3lZC/9g0R30zOB0xbFnp/4wpikK+\nQ8dkYJoen3/dWtU5WSYevGcbr7baONVXwPjiFJiSVDiKua3efYnuXAhxvZJAWgghxIZ4J+eZnlvG\nZNRSVexAe4EmJBWuHPK6cxmfmaWoIHM96LwcHWNZywzM+Hi9PZ/37qxcNUahI4tba0uYDS7Q2dvN\nzdssGdtx5+RoGfQvMOEPXPA+zEYd9+6s5NbaYvpHZ0kCNR4HFpOUshNCrE8CaSGEEG/br472cbhr\nCP/yHCadEVd2HturC7lzqydtM+GKquIcnJZcemd6M9aD7u2FqiooLzFwsnWEk30ubq0tJtu6Old5\nd2Mpw5Pz+IOz9Az6qatKT8HIMmsIRpeZWQiSSCQzdjE8n81qZMeWtduCCyHE+SRHWgghxNvSP+rn\njc5BToydZFEdZnCpk+b+N/jF8TZ+0NxOOJK50YnZqOePO99FtsHGH9f/TdrxI0dSj1azBrsdvHNj\nHOlOry2t0ajcf2s1dc5KFue0jE9H0s7R6RSSaoxAKEJojfkIIcQ7JYG0EEKIt6V7xI9vYYKiQg11\nVWZu3malplpD10w7r/d08f1X2giFo2nXKU8rHHvQh9OSx/jU2eC2txd++Us4ejT12NsLJcUGRhfH\naOufJBqNp42VZ7dw9/YKavNr6B+I4p9Nfz2dViESjxAIpQfaQghxKUggLYQQ4m3xTS8wF5wjL+ds\ndmCuXcdNDWZGAgO0DPXxy6N9Z46dWxO6oSwfd04BoWUt82u06AbIsmjQG6JMLs4xMDGX8ZwdW1zc\nVVdJQ349nb0RpmbOBtOJRJJoNIlBY8Bi1L3TWxZCiIwkR1oIIcTbkkxAIplAo9Wset5s1NBYZ6al\ndZAT/Vl84KW61PkHztZyNui13FRZyOBMMUO+IRqztVRVpXKj/X64776z4zlytUzNzdDjnWGL25Fx\nLvfcXE6CJAoqbf3tzM7H8BTpWQ4m0atmcrKMGPUSSAshLg9ZkRZCCPG2aLUqGkVDPD3jArNRw78u\nPUXHZBdfqHuVif+S3qZ7V00RZY4ilgNa5ubPriLv2rX6PGeuDn/Qz+D4HIkMTVwgVeru3p2V3NtU\ny83FO1CDBRw/FaGzO0qZrYwaj+OiNhoKIcRGyIq0EEKIt8Vi1KHX6gmHQmRZVq9Kr1Tj6OoP0jnR\nxy+PWnn4vY2rKnmYjXp21hQzMjdJz2APN2/ToqoKVVXnvY5Zg1YXZHJhHu/kAqWFa9eDvmOrh6ri\nHI50FtI3Oks8AbUludzR4Lmk9y6EEOeSFWkhhBBvS77dQrbBytzi2SXpc5uqAFSVGpmLTtE7PkHn\n8HTaGLtqiqgpdGNScukdCq35WllZGhZCS0zNL194XjlW7r99C//592/hv35wF/tvrUan01zwOiGE\n2ChZkRZCiBtYLBbnWM84wxNz5NnMlBTYKCuwo1mnuUq5y06uOZeuWV9aAL1Co1EoKdYzMDbMG+1O\nakvyVq1K67Qa7r+1Gv9igDe9LUzbouTlpucym40q4VCY+aW1g+3zpVI5JJ1DCHH5rbsifejQIR54\n4AHcbjeqqnLw4MG0c/7iL/6C4uJizGYzd999N+3t7ZdtskIIIS6daDTON391in97/QQ/O3WYHxw+\nzD/96k0OvniS8Zn03OYVnnwbnx24l1hEw2dv/d9pQXRzc+rRla8nmJxnaGqaXp8/bZxCRxa7G8up\ndVbT3R8iFE5PutbpFKLxKOEMJfCEEOJqW3dFOhAI0NjYyKOPPsojjzyS1q3qc5/7HF/60pc4ePAg\nW7Zs4bOf/Szvfe976erqwmq1XtaJCyGuPx0dIYaG1j5eWgp1dca1TxBvS6d3mp6xcfrnuih16wmF\nl+j2+/AtjDG3uMz9t9dQ48lLu079rMoL7+3kxyfeZHpmFot7dfpEayvs2ZNaGXYX6hmZHuVUXzHV\nGSpv3FJbzND4PIvhJVrah7ip3ozJcHa8ZBKSQCKZTLtWCCGutnUD6f3797N//34AHnvssVXHkskk\nX/7yl/nTP/1Tfv/3fx+AgwcPkp+fz3e+8x3+4A/+4PLMWAhx3Roagv371w6Uf/7zEHV1V3BC17lT\nfROMLo5RWmygqEAPQGmxnp7BeY76ThH9XZyP7tlGuSsHSNWDTh5IkjyQpHfEz7HeQtomJvEUGVBV\nhebmVBDd3w/PPw9bt8Ltt+sY8voZmVogGoujO69knqIoPHDHFiKxOMcGFVpaB6mrNmLPTqV5zC/E\nydJbKcixXNk3RwghLsKGNxsODAwwMTHBvffee+Y5o9HI7t27ee211y7J5IQQQlweiUSSybll5kNz\n5OedzU3WaFRqK83kOCK0jnfy88M9LC6HzwTRK6rcuZTlOzGrNsYmUyXs9uyBJ56AiorU4549oNer\nmMxJppbmGBzP3FjFaNDx4d113FZZQ1VOLR1dMVraA/QOhJidgzxrLh5n9uV9Q4QQYgM2vNlwfHwc\ngIKCglXP5+fnMzo6uu61R48e3ejLXhWbbb5ic5DPVbrFxVJg7RXpxcVFjh5tvXIT2mTezmcqnkgy\nODTM7Nwso6OznJe5h06Bb80/w7dOgn/yRxze/2ba+Ob4IvqQlpbWMWJhFfWtpRm324rXu3TmvFgk\nScdgF79oTjJf41xzTuXWJLMmDWHVxfTMHNPxCLl6G7lqkJGBLkYGLvr2xCUi36fE5bDZPlfV1dVr\nHrssVTvOz6UWQghxbVEArUZBURQSySSac75tf7nvGZ6s/AxPlP4ZnX1J+qanaPWaaSzNWTVGeb4V\nt93O5LKd0Yl53K7UIE1NS6vOy7bC8MwS0wvrV95QVYWdVXlsK8lhYMpBKBInN8uAx2G+JPcshBCX\n2oYD6cLCQgAmJiZwu91nnp+YmDhzbC07d+7c6MteUSs/MW2W+YrNQT5Xa5ueXj/QysrKkvctg418\nppLJJKemNPgSU+TlKVjfaqyy0lBlhd0epbcvxLJiY+u2mzAaVpeoc5XWYHrZwZGRFkxWlbyc9BJ2\n0WgS/1yIfFfxRc/xzou+E3E5yPcpcTls1s/V/Pz8msc2nCNdXl5OYWEhL7744pnnQqEQr776Knfc\nccdGhxVCCLEB8XiCruFp3uzwMTwxTzS2frk4RVEozsvCZrRz4MgngfQgGiA3R4fBHGXQ7+NY91ja\nOO78bHZvK6PWWU1PXzhjCTuNBuLJGKFInERCqm8IIa4fFyx/19PTA0AikWBoaIiWlhYcDgcej4cn\nn3ySZ599ltraWqqrq3nmmWfIysri4x//+BWZvBBCCPAvhXi1fYqE2U8guky2wYLdlMWuWje317vX\nbK5SWmDna9MP8Uj+l4DVTVWam1ObBQFKivT09I5yss/NrfVutOeNd2u9G+/UAnPBBdq6R7ipzoJW\nKyl+Qojr37qB9JEjR3j3u98NpFYvDhw4wIEDB3jsscf4h3/4Bz71qU8RDAZ54oknmJ2d5bbbbuPF\nF1/EYpEyRUKIt6+0NFXibr3jYrVkMsmJ/lk6JkdQ7VGyrCqT8wkikxqmlvx4J+f5vdu3YDUbVl2n\nPK2w9Kkwn6t5lTe8h4nFkquC35Va0AA5dh2qfomx+RkGx+eoKs5dPZai8L5bq5lfCnN8OMGJtlEa\ntpgwm1LpIrMLcaz6LPKyTW91HRRCiOvDuoH03r17SSQS6w6wElwLIcQ7VVdnlDrRb9O4f4mhySX8\n0Sne01CEQZ9aLZ6dj9LV18ViJEAkluDj92w9U8P53FJ2ZYV2uqecjI7PUeI2ZKwFvWcP5Nq1zCzO\nMZQhkAawmPR87O4GtIdUTnoNtLQOkOfQYMvSMDwapdBcdKYetRBCXC82nCMthBDi6usbncUfnsOW\nnTwTRAPk2HTs2GZhKjTCaW8/+r/UojydWg0+tx50U7ULt60I30SUeDyZsRY0QK5dw3x4juHJtTfd\nZFkMPHjPVu5uqGOHqwlduIipUSsFhlLqi0vYWVN0ed4EIYS4Si5L+TshhBBXRigSIxqPYjSkb+Iz\n6FS+N/dHfCj2Rf57+c/Zf3ND2jmVRTlUu5x45/Lwjs1T5k6lgGzduvq8bKuWYGyJibklAsEIFpM+\n43wMei0P3FnLrXVu2genmF8OYzMb2FlbhNmYXtFDCCE2MwmkhRBi08ucd7xShWPKH6G9vwtbWxb1\nZU6yLWeb3iiKwp3bShic8HNirIVce4xsq/bMSvQKVVUwGhRC0RCLwfCagfSKglwrBbnWd3xnQghx\nLZPUDiGEuIbE4wmWQ1GWQ1HCkRjx+Pr7VEx6LVpVSySaCqafeuXxM48rVTicuXpstgQD/hFeaxtJ\nG6Os0M4ttR4q7dV09ISIxTKXqEuVsYsTia4/JyGEuFFIIC2EENeICf8SLx7p459/3cFPXuunucWL\nb3qRxeUwyWTm4LbImU2WzsJiYHXw/MW9X6W5+ex5pW4Do4ujtA9OsLgcThvn7u3lbCv1kKtz0d4b\nzFjvOR4HVVHRaqTyhhBCgATSQghxTfBOzvOdX7fyk2MtNPcc4dftR/n58VN865cdHG6bYHYxRCzD\n6rQrx8L/F3uUeFTLs7f/7apjra1n/2wxabHbwTs/zumBybRxtFqV+2+rpsFViRq2c6pjmUjkbDAd\nWI4TCWvIMWfjyJaW3UIIARJICyHENeHQySHaxjtZ1vrwlIWxF84R0A7R7m/h5ZPd/Pz1QeaXQmdS\nPVYqcJj+Ss+z7hcwq1b8c6mugs3NqdJ1KyXsVlam8xw6/MFZRtaovJGTZeJDu+u4pXQrWRRx7HSA\nnsEgE1MRuvtDFFgLqSvJw6CX7TVCCAGy2VCIG1I8niAaTxCPJ4jFEyThTOqAqiioqoKqKGg1Kjqt\nRppoXGZD43P0TUwxG57htgYrmrdSJwqcOmZmYwwMtZMcTmA26tjbVEzul8xnStglDyT55x+/TPeY\ng5GxWQqcWvbsUdizJxVEP/HE2dfJydbSE1rAN7NILJ5I61AI4MrL4uPv2cYv3jTS7s1jZtnP+Owi\nOcZsqpwetlcVXpH3RAghNgMJpIW4QcTjCcLROOFojEg0SSwGsRgkEqmvlRRcVU2iqqAooNOlvrQa\nBZ1Wg0GnOdPUQ1w6ozOLTAemyXdqzgTRKxw5WrQahe6+Lv7qlft4yTLE/B+t7v5YkmfBZcvGF48z\nOR2iMD9VZu78EnZ6nYrRlGRueYHR6QVKCuwZ55NtMfDhPfV4p9wMjs8zNrOI02bm5i0u7FmmS3fj\nQgixyUkgLcR1LpFIshyOEgrHCIYgEoFkQkGr0aDVqOi1qdVnSJVCSySTJBJJ4okE4WCC5UACRU2i\n1cYwGmMY9Spmo04C6ksoGI4RS8TQ69JX/lc2EP7z/Cd5yPa/eb1thPKibEwG7Zn/D/Q6DdtKbajT\nWXSPtJFj02AwqGkl7ABMBpVQLMxyOLrunFRVpbTATukawbYQQggJpIW4rgXDUQLBKMEQhMOgVbVY\nDNqMv9JfoaKABt76HwBi8QSRWJzFhRhBXYJQJIxBr2I26NDrJKA+XzyeoHfUTzQax2TQkZttwmrS\nr/nDh6oqqVLQ5xXKOL8KR+9AmPGAj9dO2/m9OyuwWc+OV16QhWIxM9c1T0fPCI31pswpOUrqZS5Q\nVU8I8f+3d+dBcp71oe+/z7t0v713z75Ko220WTbCssF2AJMDDkvwIXUqSyUsJnULyDGUsXNyb+IY\nMCmCgcMJBDDEcHNZkuMCcxJcNykOcXLtYBQLLONdstbRNjOa0ay9d7/bc/9ozcgjaWRpZmxppN+n\nampm3nn77adbj3p+/Zvf83uEOA8SSAtxGQpDTanqUq4GlMuNADodsxdc62yZBpZpEItY1FyfQt7H\nskNqsTpO1CAhGepZh45P8cjOgxybGsP1fCzDJuOk2dTXwhs2dtGcjmOe9kYmm3BIRGJMVsLZPtD/\n4+YHGsHzgcY5a9dCb7fN8y8e5+BwByemO0jEIrNviizT4B3XryFfrvOLQyUOHCqwbnUUpeb+m9fr\nmkjKJhaRfy8hhFgsCaSFuMwEQUihUqdY0rh1RcKZPxN6oZRSxKI2sahNzfUpFT2q1RA3USfhWK+4\n293lbrpU4+H/2M2zwy/iqhJxx8KraQ5MmQxNd7P/6DS/8YY+1nQ34bys80V3a4ovHfsv/E7mS/z3\nN38TwzgVaB882Pi8di1EIwbNzQbjpVF2H+qkpzU1568L2VSMd75xLaWqy3PDu9i1t0z/aodIpBFM\nF4o+9ZpNe1eO7pb0a/OkCCHEZUwCaSEuI0EQki/XKRQ1oW+QSZyZkVwqTsTCiVhU6x6Fgofv+3hB\nSCoWOSPjeqX45e5BDk0dxYpX2LImMRsQV6ohA0eO8fzoNPXtIb/1FpPVndnZspi2v07yza07eXT/\nf/XPm5kAACAASURBVFCuBqQSBgcOwM6d8NRTjWtPTsJ110Frm8mRqTzHJ0p4fkgsOncMK9oyvOfG\nfqxfmuwZPcSvnh8ikzGJRQ1Gxlx6M6vZsqpdWtgJIcQSkFdSIS4TYahng2gdmKQT0Ve+0RKIRRtl\nHaVyHdcNCcM6yVjksqmd1lo3WgTqRi3zfPXl5arLriMjDBeOc/UmZ05WOR4z2LzeYf9AmQNTe/nn\n7QZ/sv8Njet/WqM/rXlk5wF2jbQyPDrK+tU2a9c2stBNTY1r/MZvND4HgUElKHJiqkypWj/rv3N/\nbzNNaYf/71cJ9g22k68XqBSr9Ocy9Hd1ct2G7qV9koQQ4golgbQQl4lipU6p3MhEv1ZB9AzLNMgk\nHMo1l+l8gB/UScUbJSDLWaXmUa17uF6jPaBpgm0porZJ3LHnZPuLVZeSWyEahbhzZrCtlGLtqgh7\nD+T5k/1v4JvXPMPv/Hr/7M+v7e/iuYEenhwaoVTxScYbL89r1sy9jmkqkgmDkltkbLpKZ3PqrGNv\nyST47Zs3MTpVYmSyxHi+Qldzig0rWq7YvxgIIcRSk0BaiMtAuepSroZ4riIdf22D6BlKKZKx6Gyp\nRxh6aA1xZ3kG04VynVKlsVjTVAaGoRpbdCuN4/i4fkAqHp3NUHt+gB/4GAZzstEzZhYRfvFNf8Mf\n1L7CobFRXjjYzPWbGm84mjNxrl7VxVChm4NHh9i8LoZlmqxde+bYbFvhuz5eEJzzMRiGorM5NW+w\nLYQQYnEkkBZimXO9gHLNp1KBpPPq1USfr1jUxjQMSqU6SnkoxbLLTFdqHsdOlPjVS2MUq3USToRY\nxKajKcXazmbqNR/fDwnDGulEFNsyMQ0DwzDOaCs308Jupo0dwMoem8GjR3l6XzOb+ppmn58br+rl\n4PAkTx7Lc+hYhTUrY7M9vl8uCDSGMrBN46L/ewshxJVMAmkhlrlyzaVUAseOnLM/9GspYptoIpRK\n7slgWs3pUvFa01rjegFBqDEMhWmoeTuZhKHm2f0j/OuvDnOiMkTBm8YyLCJGlOZYK7uPdHH9+l6a\n0wkKRR+lXHIph5ZMnEw0Ta16Knh+eR/ol7exa8qZDB6vcDw/zsHhPJmkQ8Q2ScWjvOfG9dQe99g5\n+AxH7SorOufWWweBplAK6M7GyLzGJTxCCCHmWvRvXd/3ufvuu1m9ejWxWIzVq1fzyU9+kuAV/uQo\nhFi8uutTq2t0aFzUQPVsorZF1IpQKECx7FJ3/SW5bhCEjdZ7VZdS1aVS8xolF/MoV10mC1Um8i4T\n0x7jUy4T+TpTxepZxzRdqvLEriH2TLyAkRpn/XpYtcajuavIcXcfO4d28tOnd3FweBwdGJQrjZ7d\nEdukoynFjyt/zJ9d83WAOVnogwdPtbJTStHSZFHyphk8UcL1T71e9rZleMe2dVzdsZmJExa7D1Yp\nV33CMERrzdFhl4SRY01XMz1tmSV5ToUQQizMon/zfu5zn+OBBx7g+9//Plu2bOG5557jtttuIxqN\ncs899yzFGIUQ86jUPapVLrkgeoYTsdBaUyh6KOWilFpwN48gCCnXPGpugOeBd3KHa8OAaNQ7Y6dF\nrRtdTI6NlBgYKuL5IemEQ2smQdKJULE0bsIlEQtJvqz/9c49wxydHiSe9li1IjZ7PJmA5pzJ6FiN\n3UPPwT6wLZPO5hSVSED6vyt+9t7DfLzjIcYnh2jJNco15mtj195hMDZSYHi8RHDaG4FNfW0AJJ6O\nsX98gGd3jWBbGg0oP8bm9pW8YWPXJfMXCCGEuFIt+rfvzp07ufXWW3n3u98NwIoVK/jN3/xNnnzy\nyUUPTggxv5lsdBgoorFLM5CGRn20rkOh6AF1sikHyzTQWhOGjeBQa32yxvjs9b4116dUcSlXwHMV\nlmlimQZKQRBqigWfitXYGCYZs4k7NpOFKo/sPMLuI6NUgmk87eGYMTLRDG3pHFvXdhEEDr7vE4Z6\nttPJvsEJhopDXHPVmZvLKKXoaLMxDJ+Xjr3APf/8Jrb/5xP0f6+NybsqhKFmx+4OnhwcpNYT4kSN\nedvYaW3gUmGyWKZUdckknTn3tamvja6WNP/xQhP7hyaoelXcwKM5keOmq3pZv6Jlqf6JhBBCLNCi\nf/u+853v5Atf+AJ79+5l/fr17N69m8cee4y77757KcYnhJhH1fWp1ZbHQr541KZc0xRLHjW3iAZq\ndR8n0th1caa1nGU2Mtbx6KntzCs1j2LFY2o6JGJZZ91kJh6153QLqdRcfvrkIX41MMBI7RAtzSbR\niKJcCxmeDjlcyDFWLLC1r5e13c0YRoBlNhZGVtw6KJ9EzDnLI2loa7H4wosf4QO5b/Gr/YO8+PsF\nXE/TnHHY3NfO4HQ3Bw8Ps3l9fPY2p7exU0phmYogDHD9RtnG6Y8rm3R49w39+EFIoVynUvfoaEpK\nJloIIS4RSmutF3uRu+++m89//vNYloXv+9xzzz38xV/8xZxz8vn87Nf79+9f7F0KcUXz/JB82ada\nsUhdxG25gzAkCDVB2Mguo0DRCBKVAsswZoO+0XyFF49NMJovESoPhSJqOjQlYnRk43Q1JTANjW1r\nolGNEzFQwJ7BIvsGK1RcH9NQRC2L9kycFc1Jcqdlcf0gpFx3GS5OsfPACUaDg6xeqXFetiZPaxib\ngIlJm15nFaub2+jvzJBKhRiG5h93DrCvsIer1qkzAtuvHPwsAJ9Y0yhbO3RMkQp6uKq9j80rUmRS\nCt/X/L87j7Jrcj+trTXaWubvqrF7v2KFtYn33tBNezY273lCCCEunnXr1s1+ncnMXZuy6Iz0V7/6\nVb7zne/wgx/8gM2bN/PMM89wxx130NfXxx/+4R8u9vJCiLNw/RDXbWwM8lorVj2OT5eYrrj4vkZh\n4Fg2TYkYEctEKVBKo5TGsgIwNHuGphg4McmJ6jhT3gROzMeJGAQ1kxEvyYlKO2PFZjZ1N2EZNsVi\nQMl0eWrgBIOTRSb9E9R0GdCY2GTLOQbG21jX1szG7hzmya4WlmlgKMXzB0sMVQfp6QlxonMDWaWg\nrQUScY8jQwcwJg1STgTLcrAiASYGWtOoR2Zu8PyJNfewY0ca1hQA6GzTHDoywvBUMytb4sRjJum4\nzba1LVR3BwyMHcSyXJqyZz6PtTro0CJqWTiXyS6QQghxpVl0IP2Xf/mX3HPPPfzO7/wOAJs3b+bI\nkSPcd9998wbS27ZtW+zdviaeOrk6aLmMVywPSzGvJvIVJqcgE4/NW1d8vupeo0bYMNTJQPjM62mt\n2Tc4zjMHhhjNV5isFCjWy2itsUyLpJ2kqBJ0ZNOs62qlI5vGD0MqdZdHn9/D4aLLcTVCZ5/JVa3t\n2LbGcSBqWeSLIUcHpzhhKDL1Vv7TxrV0ZFP8w/YXGPVGKMTG2Lw6QUtTBsNQVGshY+M+J8ZGGdUp\n0nWHt79+3WyJy9ET0zgH8ySiEdb3Z3HOUfrS1u5z+FCBqr2W9p7VrO6Nc6gQZWRgnK8OfKLR/7n3\nVPu6gwfhl79sZCTWrIF1a0GrOpHQJpLtYsvVHbRkYlx7LaxeO8hPn+zgpcldaKXo7rQxzVPP7d4D\ndTZ29/CWDVdx/XUrSC1iIx15rRJLTeaUeDUs13n18qqK0y06kNZan7GLl2E0FhIJIZae5wd4Phhq\n/sV55zJRqDAyVWQ8X2YsX6JYqRESAoqIaZGMRelqTrOiNUt7LsVUqcrjLwxwYGSYQ9OHKftFMimT\nTEtjE5IghOnSKIOTBzlabGZoqo8NXd1s6evmuUNDDIwNMVjdR19PhGzWxDIhDBpdN0wjoDlnk8uY\nHBnMs2v8efSz0JXLMDB2nKHSYbZsjJJOMftYY47Bip4ILU0h+wb2URupYTyr+I1r+7Etk/FCmXpQ\nJeGY+KE+a+3xjKasRbHF5cDUPqJ7Itzw49fz4K89z/8qf4L/tumrc86dWTR44MCpBYMALU0mo0NT\nTBQqjUy2boz1+g3deH6I+azF4YnDnBifJJsxidiKUjnEq8ZYmetg28Y24sugzl0IIcSZFh1Iv/e9\n7+Xzn/88q1atYtOmTTzzzDN8+ctf5oMf/OBSjE8IcRrXC3Bd5t1QZD4jU0WeHzjO4bExpmuTFN0C\nJa+Ip2sYCkINYaiIWTFyI01knWZC12ZkapqqMUHeH6e3M8Lm5gRKnbbYrc3G9zVjk9O8dOJppusT\nPLn3EGW3zrA7wKa1KewIeK5PEGgiEXBdjWE2gmnbMlm1IsIRo8YLo8/x5O4mapFh1vbFME1wfY1p\nBnMeczxusHm9w4t7jvLSSIT4izZv2bKaYsXF1y5O1CDwG3XT53querttdpWmuOOl1/Pjmw+SiGvu\n7P4RU/lBOttOnTeTkR4YgH/5l8biwbVrIZU0OeAWGM+XCQJ9MomgME2DG6/qpT2X4PHn0hwenaBS\nK+FXPDKmQ1tzKzdv7aUlE8eUxYNCCLEsLTqQ/vKXv0w6neb2229ndHSUzs5OPvzhD/OpT31qKcYn\nhDiNH4T4PsTs8wu+JosVdu49xpHxMQaLx5hyT9CUNcjkTHoSBo4Tm83YhqGmUg2Ymh7h2WNHOHLM\np06RXE5xzfos7bn5yw8sS9HZZpNNh+zZP8CxwxF8e5qtm1LEnMZYzYiN6/nUXY1taeq1U4E0wMqe\nCCOjJQbyU0QSFa5r6iQIQlw3wDSCky3vTmWXbVuxYV2UXXsPEh9K0N2Spu4GaAJsy8AP5g+kZ3Yd\n/JPHP8qnr/0G76//DQcGJ3jHDatojbdyZPgotXqAE23cdiYjDXMz0ratiERCSm6JiUKV1typRYOW\nadDf20xPa5ojo9NMFlzKVQ/bMlm/Iks26RB3JBsthBDL1aID6UQiwZe+9CW+9KUvLcV4hBCvwA9C\nggAs55UD6YHjk/zH7gEOTB1gyh2lo9Via5uDZZ291MEwFMmESa2mGx05nBFCI48bhYOjdQrlKms6\nmzHN+TO8lqmIOSYFPYoyppmsejQFbdimiUIRsS1cz8f3DfwgIGIbuFZA5GSw6ziKvHeCFlsxli/T\nmknihyGer/H88IwNXWKOwcpui2PHD/HcwRwd2SxRM4brK8Kw8ebg9PKOl2/dPfPZjNY4URlnIt9J\nf08rx/IdHD52gg1r43Pu7/Q2dgBOVFEP6tQ9n9OfWaUUiViEjStbGx1OghANRCxz0fXtQgghLi75\ne6IQy4gfhLP10fPV/UJj7cKv9g/yb8+9xLOjT0NsjNdtdujpsucNomeUKwF7DtQYKoyQainRv16T\nzgSMVYcZnD7B3sExvCA4621DranWQk6MaSKpApHUNGOVCY6NTc6eMxNMh4FC60ZvZ88P0LoR8BZL\nGstxcY1JRqaKgMa2zMZuhvPcb0uzSV0VGJweZapYxbFi1F2NQhGEjXH98b9/hD/+948AcKt64Ixr\ntLVYTNXGODg0xbb+LtY0r2RqSjEx7c45byYr/XJB2LivqK3mLdNo9I02iEYsnIglQbQQQlwGLt3t\n0IQQZwhOZqNNY/73wFprfvb8AC8cO8yB6T10d0NH2/l1hNBas2/AZSQ/hemUaW71AUjEDaJRxYmx\nSYYLIeEg9He3ELHmvoR4nmZyUlMLKthOneYOxejYJBOlGLlSnFwyAcwE0yaupwnwcb0Q2wpx61B1\nXaIxH2XXyVdLTBYrNKUSKBo9mv0gPGNDEqUUvZ02g0eP4egMtopSr2nue/5jAHz+174xm3kGePFF\neMtb5j725pzJoaOTHJ8skopFeMOGHqarRV46sJstG01Sifmz8JVqSHc6esbuhEIIIS5vkpEWYhkJ\ntSYMG72Q5/Pk3mO8cOww+wsvsm6tQUfb+dfgDo14jIxXKQdTtHXOzcRaZmN77Kqe5nhhhL2DYwQv\nyxCHocbzYGoK6rpELOFjmopM2mTKHWd4Mk8YhrPnN7qOGOjQoFJtZKU9r1H6YFmadMqkUJ9mdKoE\ngGkahEHjzcTZNDeZhGaRyeokX5q4mTAw+T+vup8/3/q1xmYxwM9+Bvff31gweP/9je9nH5+liESg\n5tcoVF1u2rKCbWtXsTrTz4t7q5SrZ8+Gj0964Du0ppO0pONnPUcIIcTlSQJpIZaRRr0vGPNE0vsG\nx3h64DD7p3fTvzpCOnX+nT1cN+TYoM9kdZKmtjqmeWYLS8OA9labmi4wVprg0Imp2Z95vsatGZQq\nPrWwEUgDJGIGWtXJ1/KMF0tzrtfYHtzA9zT1ekjdCzkZ85KMG9SDKsVqDdf3MZQi0I03E2fz3372\nUbo7bf568l18NPoouWgL09ONMczc4i1vgdtvh9WrG59Pz0o7UYOqV6VQrqGU4l3Xr+XaNatYmVrN\ncy/WODZcnw3KAWr1gINH6qzK9fGGTd3EZOGgEEJcUaS0Q4hlRANhCPZZ6mvH82V2vHSYfVMv0bfC\nvKAgOgw1J8YDJvJ1QqtMMu3Pe66hoLXZYmR0ktG8Qzbu0JxOEARQLisCPAzLw7JPBpyq0SKuVCww\nUcjRlknPXkuhsEyTIAyp1jWBH6BDNbvFuOMoqn6Z6VKVtmwK1z+1ePDgQTVbrzyzeNDzQt4b/QqG\nYZCLtHFocoSWFsWpULrhqqvO/tiiEXCrVYqVRjbetk1+69fW40QsMofSHDxxiKNDUziOgWkoShVN\nT6qHtZ0dXNvfed7PtxBCiMuDBNJCLCPzZaS11vxyz1EOTu0n2+TR0hy5oOt6nubYUEDRnyLb4p2z\ndAQaZR65nMnE9BhHxxzi0Si+Z+F6Gk+72NG55Rcxx2C6UKNUL1Os1Ug5p2qJLcMgCAzC0G/UTIca\ndfKVKR4zqBQqTJdrtGVTjcWDWhNqzTcHPwqDja4bM/XPtm0Qi2uU7xJVaewwyXS+TCI2949vp2ei\nZ8dig1v2qPunyjgitsV/vmk9G1a08MvdzQxNTlPz6niBRzqXZENvO2+/drX0ghZCiCuQBNJCLCMz\nNdKnB9IDI5McHh8lH4zxuu4LW/AWhpp8MWS64OEbJZJp77xul4gZVCo+U9UpBsditMZb8bwAL6xh\nR06rY1aQiJuUagUmC9k5gXQj+6xQGLieP6eOOhpVTAU1KrVGhnhm8eC1w9+EXz3ALbc0Nkp5eSeN\nXNrEnSqSjrXREazgyMgLtLeeX3be8yFiWmfdaXB9bzP9PU0UKy6Fcp2q69GaiZNNxc5yJSGEEFcC\nCaSFWEbCcGax4alA2g9Cnj0wzJHCACu6bEzzwtqqeZ5mYlxTC8rEEz6nb1p4LtmMyehonvFClrTV\nWCgYaA/HOnNBYDxmMFauUKjU0DTaxc0wDAPQKAUKG89t/MwyFaiAH0/9BZv8+/nz130d09I8sR1u\nuWXuxigz0imD4ckiTsRmRbaLaXeMw8fGuGr9K2fpq9WAlO2Qjp39XKUU6USUdOL8uqAIIYS4vMnf\nIoVYRhq9lpnTg3j30VGOTg8TWkVami9s2/Aw1Hg+TE1r6pRnFwieL9tS2BFNoVJmqlhtbDNOiHGW\nhYqWpcAIqPl1au7crLdSjc1TYlETS9mEgcU/DX4XgGfCB3lb/C4qdY8jRxT//hj8279qJicb2ejT\nJeImrq5S8+tsWdXNqswavEqckRPnzrQHYUihFJKNpehqSZ/zXCGEEAIkIy3EstIogzi1U5/Wmr3H\nxjhWPMKqVZFzbtJyNkEA1bKiVPXxdAUnfvYWb+eSSpiM5stMFCskrDShDuetsY5GFG5Qo1SrE4uc\nyvqaSuGH8LUDn+CdkS/zQuSr/Kfs/wH43JR8P57vUfc8Vq60WbUabBve9Y6z34cywDTAtjWmguvW\n92IMeOwZeh6lPNpbz95Z49iwS9rO0pnLkk1JP2ghhBCvTDLSQiwjSjU+ZlqwjUwWGStNoo0qmfSF\nZaMBfF+TL2i8sEbECTjHPi/zitgGhhFS8csUK3UgRBlnb1EXjRjUghrlah2AnTvhC7s/whdf+igh\n8In+r5KIG7yh+imq5cZgTBNCHeIHmpnyjzVrzvGG4WTG3rYNrGhAazbOG9evZnPLNRwfttk/UMfz\n5o5vKu8zdDxgbfNqbn7dygt/EoQQQlyRJCMtxDJiKIVh6NlmbgMjk4xXx2hpvvD/ymGoCUKo1SHA\nPXOB4HnSGmKOSbVaAT8FGMzT6hnbgrJ2qfsBX9j9EXr2PcD/9QeNjhs11wOlyWQMRibiFEsmze2N\ndnueDgiCkDAEE1i7+hzjAVCKqG2STDSC/HXZFlKxKLE9DoenD/PMC8PEYhCPKWr1kELBYEPzRl6/\ntoe+jtyCngchhBBXHgmkhVhGZvora93YKvvI6BQT1TE29V14NjoIIPAUrhviaZfIAgNpaASt5WIN\nw/NREYUOz54x/vfp77NFf4CH85+i55kHGByE//k/ob8ftlzTCJpTcQPbiKICh0rJRRkhIXo2C6+M\nc+/siAYFBKEml45g2QGBF9CaTfKb12/i6QNZhsb7yLsFKm6FmFas7cjxhk0d3Py6vgU+B0IIIa5E\nEkgLsYzMlHZoDccnC0xUJok4PjHnwmt6w1AT+CauF+CFLolFZKRNU6FMH9/zIFAEwalI95ET3+WW\nttsan1tvY/C4yy3xe3jd72sefFDxB3/QOK/mNnZONKPQnLXw8s1MT9ZI5lwUCmUoNI2653PVgoda\nozAIwpB4zCCbdKi6PpVqSLUKr1/bzetWdzJWKFOq1cmkTFZ1pWjNJE52DxFCCCHOjwTSQiwjMwGk\nRjNRKFNw82TSCwv+whDCUOH5IX7oYdkLzUjD5LQi6hjUa3UIDP6j+n9zS+q22SAamP1smhBoH9cP\n6O+f+xKklMJU0NJsUiwlqbpxquUaUdPAOPkmwjDUOQPpUjnEMePkUg4RWxGNWERsk6jt40R9/EAT\nBIpsLoltpXAiFrGodcELNYUQQghJvwixjChOLTacLFYpeyUS8QUG0hq0NghD0DrEmGeB4LmMTzQ+\n5yfhKb6JNlxeyN7H68OPAqeC5zmPQSm0DtFac911L/+JRtHIbjsO5LIWKbuZwnQUtAEoDOPc2WiA\nfCEkZiZZ0ZEkdnJjFaUUsahNUzpGSyZGSzZKS8ahKR0j7tgSRAshhFgQyUgLsYwYhmpkdL1GRrri\nlRcUSM9s7KJ14yNk/pZ157Kj+l2oAkf+Kyv4r5RVwNXuX+AlRy/4WppG/XPENvEiPumUQamcQE/H\nqVc05snHbhrzD9T3NVN5n+7mHH2djWzz6QxDYRgXXlMuhBBCnE4CaSGWEcs0ME3I5+sUa1V86jjR\n+AVfR2vQp201/kqB9PgEtDQzu1FKf/k22Hcba1YrSh2wZrVibMxFVUxC38L3FZZ19iy3Usac+5vp\nPT1zLBIxsaMeLU0WgyPtVPJl6nWFZTaeg/kMHndJWy2s7c7Rnkuez1MhhBBCLNiSlHYcP36cD37w\ng7S1tRGLxdi8eTOPP/74UlxaCPEylmlgWTBVrlLxK8RjS1edNV/Luhk7qt8F4D09t/GenttYv77R\nbaO/H7q6Q0xDERJg2RrHSFArn/19ehhqDNSchX2hbmSjZwJ721JEIppUWhOPRmm31jI+ZlAohfOW\nYRSKPkPHffqaernhqh4itmSdhRBCvLoW/Vt4enqam266CaUUP/nJT9izZw9f//rXaWtrW4rxCSFe\nRimFZSq8wMf1XWxr8bW9tqUwlTWn08aMfxr8LuMTJ7PQz9zG3r2n6qIBmlsaAXBzS0iowTQ10WhI\n1EhSPVsgrUFrhVLmnBINrTWGYk5wHXMM/NCjNZugN9dBf3Yzg8csBo64Z2yoMj7psWtvjfUt69m2\nrodVHdlFPy9CCCHEK1l0accXv/hFuru7+e53vzt7bOVK2RlMiFeLZRqEOsQLPazIK5//SmxbUSlZ\nBCdLMf5p8Lu8p+e22c8A7+E29pZh/fq5t21pPplhNgICrQBF1NEYfox8zcb3alj2qaDXDzSmsona\nFoZ6WUY6DLFsMDgVXJuGQakckksmeOPKLtJJm8MnMgyVj/DsiydIxDWGqSlXAnw3wvqWTbx+1Upu\nuW7N4p8UIYQQ4jwsOiP98MMPc/311/O7v/u7tLe3s3XrVu6///6lGJsQ4iws00AZIUEwf5nDhYhY\nBntbvsQj4/8PwKng+eTnGc0tZ7+9YYAyG6sW9cntubOpCAkzSyk/N9L3PI1t2Dj2qffwGk2odWMh\noaledl1FvqDJRZu4qj/DjVd38I7r1vH67qvYkHk9Ob2OlL+KVcnN3NS3jVuv38JvvWkDxjkWIwoh\nhBBLadEZ6YGBAb7xjW9w1113cffdd/PMM8/w8Y9/HIDbb7990QMUQsxlmQaGoQnCYEGdNqCxqO8z\nT/8RAK879jdw8B5Wbh5lPObR0nz228x3HMAwNIbto0/WP7e1RJgu5hgtTJHKupgnFx36vsZWNk7E\nnr1tEIQYs904Tj2gQjEEP0ZzKsWmvmYSToRc2mdF5ypKNY9CqYYbBGTiUVa2Z7GlJloIIcRrTGn9\nSkuMzi0SiXD99dezffv22WN//ud/zo9//GN27949eyyfz89+vX///sXcpRBXNK01zx2e4t92DRAm\nh+juuLDbf+XgZ/nEmnuo1qBWdqjW4OdPuzSvHiDXWlrQmMIQfNdmZDBBZ6Kd/s4swydCjpcn0LET\npJvKAEwXwAmb6Mu1ko5HAXD9AMsKiUYMrJM10lrDoUFNtNrDWzZ1cdPGNmzr1B/QtNbS+1kIIcRr\nYt26dbNfZzKZOT9bdGlHV1cXmzZtmnNsw4YNHD16dLGXFkKchVKKRNTCNmzq3oXf/hNr7gFOlmQY\nIU4UmtI2bs1+hVvOr7FRSogyffTJWumWnEHKyOFWEtSrNhpwPUXUiJE4uVFKGDbex5umwnxZYDxd\n0PjVGG2JJtZ2JucE0fDKm7IIIYQQr4VFl3bcdNNN7NmzZ86xffv20dfXN+9ttm3btti7fU089dRT\nwPIZr1gelmJetY5Ms3si4GCpQG9vYkHXqNdDyiUTpS1KtQqHC1nijiISXdhW4dVaSKYcoTmeqb7p\nhQAAFABJREFUo62tDcNQxBIuh45HGa8eJRorkUmadGXa6Olub4zB8zBtTSxqYpuN0oxyJWR4rMbW\nvi382qbV3Pi6dloyMal9Pgd5rRJLTeaUeDUs13n18qqK0y06I33nnXfyi1/8gs997nMcOHCAH/3o\nR3zta1+T+mghXkXNmTgJx6FeDxZ8DdNUmFZIEEAqaeKYibO3rDtPvq9xojbJBLheYwvwlpxNWzZF\nk9XN6GAc00+QiTsABGGIRmObYJ/cZKVSDdl7sExvci3Xru1lc1/7yd0XF1WBJoQQQrwqFh1Ib9u2\njYcffpiHHnqILVu28MlPfpLPfvaz/NEf/dFSjE8IcRbJWIR4JEIYGrjewoJp0+RkazpNLm2RtNKU\nCvYrbswyH9fTOLZNKmVg2j51t5HZXtnl0JrOEql3UZ3KNVrtBRrPD7BssCyTIISRMZfd+2p0xdax\npWcFN1+9GsswGoH0woYkhBBCvKqWZIvwd73rXbzrXe9aiksJIc5TSyZOKppkulCnrfnCO1YopTBN\njWEGJOImaSfOZD5GrVIjlrjw4Nz1NMlIlFzKxjJCXOVTdy0syyAetViRWUHazmHVSzz/0ghRJySV\nUpgE5IshMSPDhqaVXNPXw1uvWUPEtqh7gWSkhRBCXLKWJJAWQrz2VnZkaTqUYSo/TFtzdEHXsC2F\nHQ2oVUyaczbjlQzFfJlYonpB1wlD8D2IOlHiThRDKZQKMSyXWsVidNyjv20j169dw9DkFEOTPXhG\nnrDuYRomHZkUqzqa2LyynY0r2mYXEyrFyUB6QQ9PCCGEeFVJIC3EMtXXnqEpnmPP5CBBEGKaF16p\nZZoKy9aYZkAmbZIey1AoT1KtuMTi55+VLlcCYlaCTMLBPNnCzokqLFMzNl4hG2+iM5emqzlFOmZz\n1eomvNDFshpbgbdmknQ0pbBOewxaN4JpadIhhBDiUiSBtBDLVEdTktZkjhdGDCo1n1RiYfuFRyOK\nIBYQBiYdrVHKXhtTY3Wc3grqPGPzcjUkYydpTsfnHK+7IcWSyYam1Vy/sRvT9GlJGqQSDplEDss0\niNrmvO3sQq0xDDAkkhZCCHEJkkBaiGXKNA162zI0H88xPjVNIm4vKOA0DEXEhiDqkU1ZNCVSVPIZ\nJscDmtvqr3h739f4rkEikyCbjJ06HmgGjrqsSG7gqhU9ZBNxItGQZMIgHY+eVy/oMNQnM9ISSAsh\nhLj0LLprhxDi4tnc10pvppvxiYC66y/4OpGIIhLVRJyAztYITdF23GKS6YlXznKXyiGJSJKmZBzj\nZArb9zX7B+pkzS5W5Xrpa2++4CAaAHUyIy09pIUQQlyCJJAWYhnr68iyqrWDmJliYsonDBe2mQqA\n4yiisZB0RtPbEaMt1kNlOkl+MjLvYj8/0BRLIalIhtZsY2MYz9PsG6iRoot1uX62rOoikVAXHETP\ndOqQsg4hhBCXKintEGIZU0rxurUd7Bvt5eDEblqabJzIwt4fK6VwogAhra0GoY7hD3czOXWcWqVM\nc3vtZN/pU6bzAalIlrZMing0wvikz9CIR4vdy6rMat64YSUtTRHijknCiVxQiUYYSjb6XF56qcaR\nI42vi8WVAIyP12Z/vnIlbNzoXIyhCSHEFUMCaSGWufW9zfQ1d3Jo8hDjkx5dbQaGsbBg2jAawbSh\nQrq6wDTj2EMryHuTHD86TizpkUj6OPEA1wupVQ3anSxRlWDPgTq6Hqc3to7epnbetGUluXSEuGMT\ntS/8pWZmoaGE0Wd35Ai8850zgfKZAfP//t81Nm58bcckhBBXGgmkhVjmTNPg+g3dDE/189zIc2TS\nFqn4wqu2DEPhOArL0nR1aXJZm0NHmxmfSlEtl5gqFKmHNUpln6iRpJLKUKaZrJ2lq6Wda/u7WNfT\nRMQ2iUftBS8UDE4uNFxIWz8hhBDitSCBtBCXgY0rWzgw1MtoaYyBI8fZst5ccFZ6hmUpTBNsGzZv\ntChVDCYmIkxOZxgc9nGI0JXo5PWre+ltS9PZnGJVR45UPLqgDPTp/CDAjoItgbQQQohLlATSQlwG\nlFL8+utXMTxR4InDBQ4N1lizIvbKNzyP69o22LYiGlXkMibDo2AbUTY2beEd2zbQ2ZTGMg0s01jS\nNnV+EBK3OWOTFiGEEOJSIYG0EJeJZCzCO65bS6FS5ZnhFzGosWrF0i02MwzF2ITH+AmDLe1X87Zr\nNrC6s2nJrv9yYahBaSxTSWmHEEKIS5YE0kJcRvo6c7z7jRvRv1A8O/QiWtdYvXLxwXQYag4f8yhM\nR9jYvIkbN6x+1YJoANcPsCywLQmihRBCXLokkBbiMrO5rxXQ6CcUL47uZo9bo683guMsLCh1Xc3+\nQ3UsL8c1rRv4tc2rWdPVvLSDPo3nB0RjELHMV/V+hBBCiMWQQFqIy9Cmla1oDcYOi8HCMC+8NERH\nm6Krw8Y0z6+Oue6GDI/4jE+EdCR6Wd+1hpuvXkNLJvGqjl1rjR8GpCMQsSWQns/KlY0WdwDFYhGA\nVCo15+dCCCFeXRJIC3EZUkqxYUULmXiUx5/JcvhEO4PTh3n6xDjZjEEua5JNm1jW3KC6WgsplUMK\nxYDJSU1rvJNrWntY29HG9RtWEI/ar/rYq67fWOBomUu6ePFys3GjM9sn+qmnXgRg27ZtF3FEQghx\n5ZFAWojLlGUaNGfivPXaFRwdbmHPYBMj09NM1SYZH55g4NA0hhVincxQ+77G0FGSkQypSIoVbW2s\n7Wzj6lWd5FKL7wByPrTWuJ5POgNx59UP2oUQQojFkEBaiMtY3LFx/YCutjit2VUoYHA8z+B4ntGp\nIvXAJQh9AEzDIhNL0JJJ0JpJ0NOSIZt8bQLoGTXXx7I1UduQtndCCCEueRJIC3GZyySiaF2jUAwJ\nPIONK9rYtLKdMNTUPB/XawTStmWScCIXbZxaa+qeTyot2WghhBDLw5KmfO677z4Mw+DjH//4Ul5W\nCLEISikyCYd0SmFYIaWqCzT6QsejNtlkjGwydlGDaDiVjXYiBrZ06xBCCLEMLFkg/Ytf/IJvf/vb\nXH311bJASIhLjGGcCqaVGVCq1i/2kOYIw0Y2OhaTbLQQQojlY0kC6Xw+z/ve9z6+853vkMvlluKS\nQogl1gimo6RTCq2C2cz0paBUrRN1NLGoKdloIYQQy8aSBNIf/vCH+e3f/m3e8pa3oLVeiksKIV4F\npmmQTkRJp0Arn2KlftH/z5ZrLoYVkkwoUvGLW14ihBBCXIhFLzb89re/zcDAAA8++CCAlHUIcYmz\nTINM0kGpOqVyQL5cIxWLYl6ELhl1z8cPfTJpSMWj8vohhBBiWVF6EemovXv38qY3vYnt27fT398P\nwM0338yWLVv42te+NufcfD4/+/X+/fsXepdCiCUShppK3adah2rFwIlYr+mW3K4fUPN8EomAVNyU\n7cCFEEJcktatWzf7dSaTmfOzRWWkd+zYwfj4OJs3b549FgQBP//5z3nggQcol8vYtiwcEuJSZBiK\nZMzGMHxMM6Ba1Xj1kFjEwniVM8N1L8ANPJLJkLgjQbQQQojlaVEZ6Xw+z9DQ0Oz3Wms+9KEP0d/f\nz913382mTZvmnDvj9Gj+UvXUU08Bsu2uWFqX4rxyvcbiw3JFU6tBxLKIRWwMY2kDaq01paqLVgHJ\nJKQTEZyItLNfrEtxTonlTeaUeDUs13l1rhh2Ub/BMpnMGReMx+Pkcrk5QbQQ4tIWsU2ypoNtudSc\ngGrVp1D1sQyLeHRpAuqa61NzPSJRTTKhSMYiRGzJRAshhFi+ljwVpJSSBUNCLEOGoUjFo8SjIZWI\nR90NqMwG1CZR28IyjQv6/93YrTCg5nqYliaVBidikIpHlzzbLYQQQrzWljyQfuyxx5b6kkKI15Bp\nNgLdhKNxoh61uk+1FlD1AoIamMrAskwsw8Aw1Gw9tdYaDQRhSBBqfD8g0CG2DckUOFGDeNSWLLQQ\nQojLhhQnCiHOqrEYMUI8alNzfDw/wA9CXC/E90PcAEIfwrBx/kyi2jQbH7EoRGywLbPREUQCaCGE\nEJcZCaSFEOdkGOrktt02Wmv8IMTzQ4IwJAw14cn1yjMlH6ahsEwD0zCwrQsrBRFCCCGWEwmkhRDn\nTSmFbck23kIIIQQs0RbhQgghhBBCXGkkkBZCCCGEEGIBJJAWQgghhBBiASSQFkIIIYQQYgEkkBZC\nCCGEEGIBJJAWQgghhBBiASSQFkIIIYQQYgEkkBZCCCGEEGIBJJAWQgghhBBiASSQFkIIIYQQYgEk\nkBZCCCGEEGIBJJAWQgghhBBiASSQFkIIIYQQYgEkkBZCCCGEEGIBJJAWQgghhBBiASSQFkIIIYQQ\nYgEWHUjfd999XHfddWQyGdra2rj11lvZtWvXUoxNCCGEEEKIS9aiA+mf/exnfOxjH2PHjh08+uij\nWJbF2972NqamppZifEIIIYQQQlySrMVe4Kc//emc7//u7/6OTCbDE088wbvf/e7FXl4IIYQQQohL\n0pLXSBcKBcIwJJfLLfWlhRBCCCGEuGQseSB9xx13sHXrVm644YalvrQQQgghhBCXDKW11kt1sbvu\nuouHHnqI7du309fXN+dn+Xx+qe5GCCGEEEKI11wmk5nz/aJrpGfceeedPPTQQzz22GNnBNFCCCGE\nEEJcbpYkkL7jjjv40Y9+xGOPPUZ/f/9SXFIIIYQQQohL2qJLO26//Xb+/u//nocffpiNGzfOHk+l\nUiQSiUUPUAghhBBCiEvRogNpwzBQSnH6Ze69914+9alPLWpwQgghhBBCXKqWdLGhEEIIIYQQV4ol\nb393ufjWt77FW9/6VrLZLIZhcPTo0TPOmZqa4v3vfz/ZbJZsNssHPvAB6U4izukb3/gGq1atIhaL\nsW3bNrZv336xhySWiccff5xbb72Vnp4eDMPge9/73hnn3HvvvXR3dxOPx3nrW9/K7t27L8JIxXJy\n3333cd1115HJZGhra+PWW29l165dZ5wnc0ucr/vvv59rrrmGTCZDJpPhxhtv5Cc/+cmccy6n+SSB\n9Dyq1SrveMc7+MxnPjPvOb//+7/Ps88+y7/8y7/w05/+lKeffpr3v//9r+EoxXLywx/+kE984hPc\nc889PPvss9x44428853v5NixYxd7aGIZKJfLXH311fz1X/81sVgMpdScn3/hC1/gr/7qr/j617/O\nzp07aWtr4+1vfzulUukijVgsBz/72c/42Mc+xo4dO3j00UexLIu3ve1tTE1NzZ4jc0tciN7eXr74\nxS/yzDPP8Ktf/Ypf//Vf573vfS/PPfcccBnOJy3OaefOnVoppY8cOTLn+O7du7VSSj/xxBOzx7Zv\n366VUnrv3r2v9TDFMnD99dfrD3/4w3OOrVu3Tv/Zn/3ZRRqRWK6SyaT+3ve+N/t9GIa6o6NDf+5z\nn5s9Vq1WdSqV0g888MDFGKJYpkqlkjZNU//zP/+z1lrmllgaTU1N+lvf+tZlOZ8kI71AO3bsIJlM\nztnB8cYbbySRSLBjx46LODJxKXJdl6effppbbrllzvFbbrmFJ5544iKNSlwuDh06xOjo6Jz55TgO\nb37zm2V+iQtSKBQIw5BcLgfI3BKLEwQBP/jBD6jVarz5zW++LOfTkm3IcqUZGRmhtbV1zjGlFG1t\nbYyMjFykUYlL1fj4OEEQ0N7ePue4zBexFGbm0Nnm1/Dw8MUYklim7rjjDrZu3TqbJJK5JRbihRde\n4IYbbqBerxOLxXjooYdYv379bLB8Oc2nKyojfc8992AYxjk/Hn/88Ys9TCGEWDKn11ILMZ+77rqL\nJ554gn/4h384r3kjc0vMZ8OGDTz//PM8+eSTfOxjH+P3fu/3eOqpp855m+U6n66ojPSdd97JBz7w\ngXOe09vbe17X6ujoYGxsbM4xrTUnTpygo6NjwWMUl6eWlhZM02R0dHTO8dHRUTo7Oy/SqMTlYuY1\nZ3R0lJ6entnjo6Oj8nokzsudd97JQw89xGOPPUZfX9/scZlbYiFs22b16tUAbN26lZ07d3L//ffP\n7i9yOc2nKyoj3dzcTH9//zk/YrHYeV3rhhtuoFQqzamH3rFjB+VymRtvvPHVegh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LF5oSqfiXtJhGLJsKkrHMmphd8NDWNcHGCmvcOVKdRoYsPvqmhnm9PZ1bavLX8eqFuD6s\nmebR0NBAbW0ttbW1BAIBDhw4QG1tLQcOHADg/e9/P9/5znd47LHHqKmp4amnnuJ73/vecjk9IYQQ\n4nplMxsxGYwEFrXlqhk2q55NG6wMzPdyvLebp19uX7Gixk3VuRQk5zA6FiYUjk8Jqa+H7AwjitHL\nn53YyuH7umPG9TqVP7yxjOrMYoJ+C/3DgRXXWJhron92kOMdIwSC4RXnCCFWt+bO9K5du5YfNFzN\npz71KT71qU+t26KEEEKIa4HVbCDDacc6msDsXJjkN2tHW806aiotnGrtRt+tJ9lu4bbNhTHH5roc\nlGWnMzCbRt/gNKWFlpjx5mbYuVPh+5OPcL/1f/JG5xDVhWlkptiX5zgTLezeVsp8IMDxkSYSE0I4\nHbH1qx2Jeqy2RYbnxmnuGaeuIusyfRpCXJvk0V0hhBDiMirMSCLZ4mRyOnbX12bVU1VupmOqk2Ot\nfZwZmIw7dmdNPsUp+UxMasx5l46vr4ennoKenqXSd3uVg6Snq3RP9vHc8d6YVuQApTkp3FxVQHlK\nOe3dARaD8RtkWekGRubGONUzFne8EOLCJJgWQgghLqPy3FQy7GlMTIfj0jkcdj052Tpaxzs43NiN\nxxubiuFKTmBLaQ75Sfl09QXQtKVGLPv3A3+4VEN6504ozDExG56gY2SUtr6JuDXcuimfmvxcMiw5\ntHb449aR4tQTxMvQ9BSD43Pr/hkIcS2TYFoIIYS4jNKTE8hKTsKi2pmeic9JzssyYbL5aRnr4tlX\nOoicVzLvfRvzKHPlogVtjLzZyOXsjvRZOp1CQbaJvpkBXmkbittdVhSFP7ixjOqsYvSRJNq6/DFz\nVFUlLVnP2PwEbf3xwbgQYnUSTAshhBAXYcDtobV3nGmPf825VQVpZNrTGRqL72oIUF5sYSY4RvPg\nAC+c6IsZMxn13Lopn/K0EvoGQ8tdDXfujD1HhstAkHn6JsbpGpuPew+bxcjem8vZnF1FyJdAR2/s\nLnh6qoEJ3wSdw9NxAb0QYnUSTAshhBDvUEP7MN/7/XH+9flX+e5vGjnc2M3CBVqF31CcQX5yBgG/\ngdm5+HkGvUpFiYWu6U5eO9NPz8h0zHhlfhoHuu8kKyGbhzK+ueJ7KIpCXraRvpkBWgZmV6wQkpli\n5wPvq2BTVhXeWTNnehaWd6gTbHpUQ5gZv4cZ78qVP4QQ8SSYFkIIId6hpq4xmt3tjCx08frQcX79\nxgn+9TdNjE97V5xvMurZXJpJriOb/uGVd6cddj3ZWTo6Jrt5/nhvTIdE5asK838doMxVQMBnYsS9\nuOI50tMMhBQvI55ZukZXzn3OS0/iA++rpDa7Gp/HQnv3ApE3q3ZZzAr+UIDpubV324UQSySYFkII\nId4hbyDEQmiBGzbYqNlgYio8QMNgMz860sLw5MpB7JayTPKTM/F79czNr1zPOS/LREido8M9xMun\nBwCWuxomWE3ctrmQKlc5fQNh5n3x51AUhfxsI6P+MZoHV96dBijOSuaBW6vYklNNxJ/IG6d9zM6F\nMRoUAuEAs76Vg3UhRDwJpoUQQoh3yKCqqIqCpkGCVcemKhuYZmkcPM3PjratuENtNhnYVJxBTmI2\n/cMrB6uKolBaaKZnupddTxcuB9JnVRe62FqWT5GziNaOBcIrNHNxpRqI6v2Mzc1e8GHCggwnf7Sr\nmltKNlNgL6XtTIjxyQh2o43khPiOi0KIlUkwLYQQQrxDJqMOo86If2GpJbiqKmwos6KzzHNiuJWf\nHm1jdj4+77iuPIv85Ey88+qKu9P19UvpHj/1/yWfTv0e/37L6bg5d24pYkNOPkmGdNq7F+LGFUUh\nLVljIjBFc+/4Ba8jKzWRB+/exH1bNnFr4Q525NZRmZ1Hrsvxdj8KIa57EkwLIYQQ71B2qh2H2cHs\nXGT5NUVRqCq1EtHPcnKkg1++Gl/mzmYxLj2MmJRPV38groRdc/NS2bv/cfO3mQq4aR8ejdtd1utU\n9t5YTnVmCYs+M4Oj8bvcyUkqvsgcPe6pNauN6HQqt9Tk85kPbGXfH2zno7dvwGRcs0GyEOJNEkwL\nIYQQ71B+ehLJVidTs7G7y6qqUFVmYXpxqczdkaa+uGNvqs6lxJWDFrQxNrFU2WO5q+GGfRS1HOTY\nMZX8HCNdU728fHogLvfZmWjhrroSqlwVDA5FmPXEVgjRqZBo13DPTdA2OPW2rkmnU3HaLSiK8g4+\nCSGEBNNCCCHEO1Sc5STN5sQ7rxE8rz23Qa9SWWqha7qLV9v76TgvmDUa9LxvYx4lKYX0DiwSCkV5\nRtvH/v1Q1HKQ/fth507ISjcSVObpmxqnZYV0jYq8VG6qKqA8tZzWzsW4BxKdiQqTC9N0D0/HHSuE\nWD8STAshhBDvkNlkoCDDSbIlGfdkfN1oh11P7nKb8K64NuEbCtIoz84kxZzOl17+Mx7ftdTNsLr6\n3BxFUcjLMjIwM0RDx0hcSgjArhsK2FZaSLGzlOb2BXz+cwF1YoKCPzTPyLQHr3/lcnxCiEsnwbQQ\nQggBRKMaDW3D/OqVDl5vGyYUjlxwflVBGtmJWQyPhVYMdHOzTBitflpGu/nVq50xcxRF4e4tRXxn\n8o/5kO0JZt5M04jraphmJMAcfeNu2von495DURT+YEcZW4uKKXCUcKo1gPfNHWpVBYtFYSEUYNYX\n/6CiEGJ9SDAthBBCAC81D/DM66f5xRuv8pNjjfyvX5+guce96vzy3BTy0lIxKgmMr7A7DVBRbGEy\nMEr78DBNXWMxY2lPJPDS/f0UJxfR2bNIJBIfkCuKQm6mkf7ZIV5vH14xaNfpVD5wSwXbi0spci4F\n1JMzS6knJqNCILzInE92poW4XCSYFkIIIYC2/kk6J7vR22cYWejmxe4Gfn6smRdP9q84X1EUtpRl\nkefIZnB05WDVYFApzjfTOdXDS6cH8AeW5p2tH72jKoeKrBwSDWkrlrkDyHQZ8Uc89E2Mx+Vfn6XX\nqXzwlgpuLCujOr2aCbeVM70ac/NRdIoOnSoPFQpxuawZTB89epS9e/eSk5ODqqocOnRo1bn79u1D\nVVUef/zxdV2kEEIIcbkFQxGCkUUKc0zUbkwgIyvMybHT/P7kGV440bviMRsLXeQmpxMNmpmeXXl3\n2pVqwGRdpGtigPqT/TGNWHQ6lT+8sYyq9BL88yaGx+LL3KmqQm6WkYHZYU5dYKdcp1P5wPsq+ND7\nbmBTWhmpah45CXlkOlIoyEi6iE9ECPF2rBlM+3w+ampqeOKJJ7BYVi+Z85Of/ISGhgaysrKkrI4Q\nQoirkMZbkyiyM0yUFhloGW/laHPXcnvvt9LpVDYVp5PjyGZgJH53ur5+6d9D7s8zNDfEvf9ZxvD+\n2HbjKQ4rd20ppspVTv9gmHlvfDOX9FQDs4EZ+sZmmF+j1Xd1oYs/3JrL7o3FPLBjG5+8s0bqRgtx\nGa0ZTO/Zs4dHH32UBx54AFVdeXp/fz8PP/wwP/zhDzEYDOu+SCGEEOJys1tNWA0WvL5zDx6mpRgo\nKTTQ7G7lyKku2gfiHwKsLc0gPzmdoN/I1HTs7vTZJiyP7zpIRrqO/5J8aMXa0xsKXWwrz6fIWUxr\nZ4BwODY32mBQSXIouL0TtA/Gr+F8ZqOesiwHt2zKx5loeZufgBDiYlxyznQ4HOZjH/sYf/d3f0d5\nefl6rEkIIYR412UmJ2A3JeLxxlbxcKUayM1RaR3v4HeN3XFl7swmA9srcylKLqB7YJFoVItrwlJf\nD/nZRmZDE3SOjtE5FJ/7fMfmAjbmLrUJb+30xzVqSUsxMOmfpntkZv0vXghx0S757z4HDhzA5XKx\nb9++t31MY2Pjpb7tdUk+N3E+uSfEW8n9cGnmJuZZnF1gYGocNRqfrji/EOXIqQCzk2Pcc0MW6lsf\n6otq6BaCzE8GeePkNEVFCs9oj5J9/An2fngQgNFR0Ksab3Q2oQ/4uWdzdtx7ZJuDOMJGWt1BXpqZ\npCBH5WzmZDis0T+m8GrIRq7Fi8mw9o9wuSfE+eSeeOdKS0svOH5JO9NHjhzh0KFDfPe73415faXS\nPUIIIcSVLCvZgsNsZ2FBIRSO/zmWl6XgiU7QPTnB8Z7YnWVVVagtSiY3IRv3hMK3uh/l4eK/pbg4\ntkJHqhO8UQ9DM3OMz8ZX70i0GrmtOoMyZwFBfwL9w1HO/kjV6xVMRg1fKMCcf+WHHYUQ775L2pmu\nr69ndHSUzMzM5dcikQhf/OIXeeKJJxgYiH9YA6Curu5S3va6c/a3SPncxFlyT4i3kvvhwqJRjVA4\n8rYewhsLJuI7tYjOOEtutjluPCU1TEu7l+mImZTsYgoznctjdQC2dg4+/yB/kvk/yc21kpsL4Iw5\nh6YGCM0pBM1p1NVVrLiOyg2z/PzFVk4MtzK/4KWixIJOpzA978NlSae8cgNFWcmrXofcE+J8ck9c\nPI/Hc8HxS9qZ/sxnPsPp06c5efIkJ0+epKmpiaysLD7/+c/z3HPPXcqphRBCiEs2PuPj0G9P8tQv\nXuN//fo4zT3uuFzkt9pcmkF2UiYj7pW7GjrserIyVc5MdvHc8V4ikejymPJVhTtqC/nWhmP45w24\nJ1auPZ2TYWTSP077oJspj3/FOQUZSXxo5wa25FSjBpN5vcnL2HiQUFhD06KEwtEVjxNCvPvW/DXd\n5/PR2dkJQDQapb+/n6amJlJSUsjNzSUtLS1mvsFgICMjY838EiGEEOJye/54L6/1nWJsfhy7yc7A\npJvynhw+eEsFFlN89anCTCf5qan0TNlxTwXJSDXGzcnLMvHG5Bxd7hFea0vjpurcmNrRt24qYMbv\npbn/NHa7DqtZF3O80aiSkqJjyDNGw5kRdm8rWXHtuS4HH729mt+9YeXMyAj9w0OomhGnxUGuy7EO\nn44QYj2suTPd0NBAbW0ttbW1BAIBDhw4QG1tLQcOHHg31ieEEEJclEgkyvDUHG7vBNtusJKeGaRt\nupVXu1v54XPNzPvj6zUrisINJRlkJWYxskpXQ1VVKCk00T3dy80/zYsJpAE2l2ZSW5xHbmIBrR0L\nK+6E52YacHvddI/MXHCnPD05gU/cuZH7b9rE7o3bub18K3u2l2E1SxlaIa4Ua+5M79q1i2j07f85\nqbd35S5RQgghxLtpMRQhHA2hU8Fs0pOVrifZqaf5zDCNA2E4An902wZsltjd5+pCF8eaXfRM9zE7\nFyIp8VzgWl8PO3eC02HgJ759fDb9R9y7eXPce9+ztZjxWR+eHg9d/XOUFcbWerZZ9eiNAcbnpukb\nm7lg/rOiKGwuzWRzaeaqc4QQ751LrjMthBBCXImWSsqpRN+S+2w26thUYWE27Ob4wBl+/lJbTN4z\ngEGvo6YonbykbHoHYnenm5uX/n3kyD7++45/YmR+mJM9o7invTHzTEY99+0opcpVyvSkjvHJ+Oob\nqcl6JrxTUjdaiKucBNNCCCGuSRaTAYfVgg4T/oVzLboNBh015RYmAsO0DA1w9FR/3LHbKrMpSs0m\nvGhiYioU04Tlqadgr3IQq1mHy6Wjf2aIhjPDcefITLGz64ZCqlzldPUGmfHEBtROh46ZgIfBibm4\nY4UQVw8JpoUQQlyz0p02Ek12PPOxXQ2NRh0VJRY6Jrt4pa2PruHpmHGTUc/2qhwKnQX0DAS45RZt\nuZvh/v1LqR6wlPs87nPTPjDJvC8+B7uuPJsdFYVUpFbQ1rnI3Py5oN5h1xOI+Jny+FgMhuOOFUJc\nHSSYFkIIcc3KdTlIsjiYmY3EjTnsenKydbSOd/Dbhs64BxI3l2RSmpGJVXXy10f/Lx7fdZDq6thz\nmE06HA6FYY+bE12jK67hnq3FbC8roiy5gub2Rabf3KFWFAVVhYgWIfIOnk0SQlxZJJgWQghxzSrM\nSCLFmsyMJ0okEl81Iz/bjN7sp3Wsl9+83hUzpqoK/8frtfzrzP/J/bbH8QciyzvSb5WbaWBkfoTm\n3nFC4figXVEU7ttRxk0VxVSmVdLeEaKzL0AwFEXTNKIahFdYmxDi6iDBtBBCiKtKJBKlqWuMl5sH\n6Ru78MN7KQ4rRRkpOIxORldpolJeYmHMN0z70AjtAxPAUgMWAO2AxrN3t5Nrz6O9c+Uyd45EA3pT\nkMGZCVrF40PTAAAgAElEQVT6JlZ8D1VdCqhvrylna3YtEa+TV9/wY9UnkpaYgN0aX89aCHF1uKR2\n4kIIIcS77RcvtfNGTx/eoJc0WwpF6WncuaWI9OSEFefXFKXTPJBJt7uVnAxT3LjJoJKfY6RztJej\np5Kp/BdXTN3oO2uLGJ3y8nKPh95BH8X58W3Gs9ONjI6M0TYwyQ0lGSuuQ1EUbttcSFV+GkeakhmZ\nmseo13FrTT7KUukRIcRVSIJpIYQQV42xaS/tQ27OTLWTlqrjpHuQgZk0Jjw+9t5UvmK95vLcFLKd\nqXRNmeLqRgN0dUFxsZGx8Xn2vVHHKx8ejBk3mwzs3lbCjNdHw1ATSYkhUpyx50hNNtDV52F40sNC\nIITlAk1V0pMT+KPbq5dSPKIaOp38kViIq5l8BQshhLhqTM8t4AnM40hUKSu0sG2zDc0yTcPgKX76\nYgtdw1Nxx+h0KhsKUsm0ZzA0Gl/vuaFhadf4h9N/xUcS/l8a2odZWIydl+tycMvGQirSyujoXmQx\nGPvAoF6vkGBTmPLO0j/ueVvXoiiKBNJCXAPkq1gIIcRVwxcIEoqEMBqX0iL0OpWqUiuJyQGaRlp4\n+uU2hifj6zZvLskkNymT+TmFed/SQ4JdXfDb30Jj41ITlj/LOYjZGqJvapiGMyNx59hRlUNNfi4Z\nthya2/1xDzQ6EnV4AvOMTM1fhisXQlypJJgWQghx1bCZjRj1RoLB2EC2tMCCzbFI89gZfv1qJ4Hz\ndpbtNhM3lGaS48ilpz8AwLeH9nHYtA+AuxcPApCfbWR4boTmnvG4zoiKonDv9lI25ZaQoLo41e6L\nCagTE3R4g14mZv3rft1CiCuXBNNCCCGuGimJFmwGKz5/fF3mskIzQdVD62gfv23sjhu/sTKHopRs\nAn4jjxzZx+O7DvL4roPU1cE990BJCSQ5DKiGICOzk5wZjE8ZsVmMfOjWSmpzKzBH0zjZ5iMUWlqL\nqoKGhqZJmTshricSTAshhLhquJw2kqwJhIIqwfPyllVVobLUwuBcPyd6BmnqjG2iYjEb2FGVw4+9\nn+UjjseXy9xt3Rr7HpnpBkbmxjjZPbbiGpLsFj68s4ptBVUkKlk0nvIxPBbE54uiKiqqKpU5hLie\nSDAthBDiqqEoCpkpCSSZHUzMxD9MaDXrKMo30D5+hhdO9uLxBmLGt/0oh3/ZfgKb6qRvcKnjYUlJ\n7DnSUw14gjP0uqeYmPGtuI5kh5WP3lbN+8o2UJVaw+SomcEhyLZnUZCetD4XK4S4KkhpPCGEEO+5\nkck5ukZmMBl0VBe4sFlWb2JSmZ/GiV4XAxMzZKfH143OSDMxNeOje3KQ+pMpvP/3FcBSAxbtgMbg\nuAf3zDyNwydIcoRITootY6fXq6Sm6BibH6e1f4KdTtuK67DbTHz8zo209mXQeMbF/MIihRnOVetM\nCyGuTWvuTB89epS9e/eSk5ODqqocOnRoeSwcDvPFL36RTZs2kZCQQFZWFp/4xCcYHBy8wBmFEEKI\nc7qGp/jfvzvBfxx7lR+/3MD/92wDz73Rs2K3QViqG53pSGVxQY/XH9++G6A438yod5j3/76Cwc94\nYpqw5LocvG9jPuUpZbR3LxIKxb9ParKeaf8sgxPxlUHOV1WQxoP3bGL/B7Zx745SjAbd27xyIcS1\nYM1g2ufzUVNTwxNPPIHFYonp0uTz+Thx4gR/+7d/y4kTJ3j66acZHBxk9+7dRCIrf4MTQggh3upY\n8xDtE534dSPMRPs41t/A70+18h9HWlgMhuPmG/Q6ynJTcdlcjI3Hp3rU14PZpONnvkf4L8mHeOn0\nQNycG6ty2JifQ7o5m7Yuf9xDg0l2Pb7QPGPT8yuuQQghzlozzWPPnj3s2bMHgIceeihmzOFwcPjw\n4ZjXDh48yIYNG2hvb2fDhg3rt1IhhBDXnGhUY2rOz2xgjpuqreh1KnPeMC1nzrAYDhKORPnQzipM\nxtgfV9UFaTR0uDgxOkxhrgmd7txGT3MzPKPt4+vv+zavN03QOeKmdzSbwkzn8hxVVbl3eymTHj+v\n9M3RM7AQ0yZcp1OwWhTmF32Mz/rIdTku/4chhLgqrfsDiB7PUucnp9O5xkwhhBDXO+9CkIXQInqd\nhv7NboCJCXpuqLYy5O3leH83v3m9K+647LREijLScJpSGRhZepCwvn6p+UpPDxS1HOTll1WyMgwM\nzAzT1BVfmcNuM7F7ewkbMyuYnjAsP5B4ltms4g8GmD3vIUYhhHirdX0AMRgM8sgjj7B3716ysrLW\n89RCCCGuQTazAaPOQDiyVJ/5bCqhxaSjptJCU0sv9l4beS4HtWWZMce+rzqXnrEJmkaneLJ7qfnK\n47sO8lQL7N+/NCcYNPL6yCTdw1N4/UESrLEPNhZnJfOHOyqIHtM4NdZCKBygON+EqipoGqiqDqNe\ncqCFEKtbt2A6HA7zyU9+krm5OX75y19ecG5jY+N6ve11RT43cT65J8RbXa33w/TEGF6Pj67uWcym\n2BrNNrPGy+2vMjs+zWRtLsn22Ood+oCXn/oe4X7L/01elsrg4CA5OQkMDnqX54RDUZq6TvMfv1lg\nY/7KfzUtdkQYG3HS3T1Id884ackwNgU6azKdZ1qZH7eu/4W/C67We0JcPnJPvHOlpaUXHF+XNI9w\nOMzHPvYxmpubee655yTFQwghxNuWZDNi0VnwL8SPJTsUEhIX6Z0b5OX28bgKH18eej9/nvBvzMzq\n8S0sjdXWemPmpCQpTC1O0+OOff2titLt3FGTxebMErJNJXinUkjVZZOVZCfNYbn0ixRCXLMueWc6\nFArx0Y9+lNbWVo4cOYLL5VrzmLq6ukt92+vK2d8i5XMTZ8k9Id7qar8forZhxiMRpqO95ObG13TO\nytJoPO0lZDaiOrKpK89C+aqyVDe6TuP3b/RgOmFl0NdNabEt5mFEgBxNYz7gxZjoIKeogozkhFXX\ncu/tEZr7Jhgan0OvU9hWmU1y4tW3K3213xNi/ck9cfHOPg+4mjWDaZ/PR2dnJwDRaJT+/n6amppI\nSUkhKyuLD3/4wzQ2NvLss8+iaRpjY0sPeSQlJWE2my90aiGEENeovtEZGs6MEAxFqMhLpSIvddVG\nLJV5qbhOptIz2EMoHMWgj/2jqU6nUJxnpqenn63//gcAMXWjd27KZ3Dcw2yXh86+aSqKY4NfRVFw\nJuqYXfAwPDl3wWBar9dxQ0mGNF4RQrxta6Z5NDQ0UFtbS21tLYFAgAMHDlBbW8uBAwcYGhrimWee\nYXR0lC1btpCVlbX8vx//+MfvxvqFEEJcYfrHZvn3I6f4z9Ovc7jtdX744ut851eNtPVPrDjfbjNR\nkO4kyexkYmrlutGpyQZ+5N3PI9k/58UP9seMG/Q67ttRRlVGCXMzBtwTwbhzJCbqmAvMMzo1vz4X\nKYQQb1pzZ3rXrl1Eo9FVxy80JoQQ4vrTMTTFwOwwmmkWl1PP+GQvwwMj+BcXucNXyo6qnLhjKvJS\nOdGbxtDEDFnntQh/RtvHTg7yd7VP0n5miBNdmdSVZ2I2nWsD7nLa2HVDIZ4FH819p7GYVRLt537E\n2SwqY+EFZualzJ0QYn2ta2k8IYQQom/Mw7R/hopyE4l2PZkuE0OjizQNnSaqLaVxbCmLLZ9akZdC\ndlIaPTN9zHhCOB0GHjmyVO6OZ5fK3VVXG3Ck+hiaHad9cCouFWNzaSbDk3MshoM0t5+husK8HFAb\nDCqhSIiFRelmKIRYXxJMCyGEWFeBYJhgZBGz5Vzuck6mCVW3yOn+NiwnTGSl2MlMsS+PGw16Npdl\n0T+dS99gN4+e+CyP7zoIEFM3emRcz/joBO0DkyvmNd+7vYxQWINOON3eQWlBlLRUA4uLUUx6I3br\nynnbQghxsda9A6IQQojrm9moR68aCIdi0wCzXCaSUyO0jnfyq1c7CYZid4nryjJ5bPgDhAJmvrTx\nyeXXq6vPzUlPMeJZnKHfPcOcL7ZjIYCqKrz/5nJuqSql2rWBgQE9jSd9dPUtkmROIsVx9VXmEEJc\n2SSYFkIIsa4SrUbMejP+gBY3VpJvJsAMbSP9/K6xJ2bM/A8GGj86THFyIT0Di0QiS8fv3Hlujk6n\n4HToGPdO0rrKA42qqnDvjjI+cONGdpbUUeyootBeTkV6ATsqstfvQoUQAknzEEIIsc7SkmzYTXY8\n8+OkOg0xY6qqUFlqoam5j5O9Tm4oySDnnxzAUrm7aFTjdO84474JOnqnqSyJ30lOTdEzPjzN4Lhn\nxYcZz9pcmsnGQhc9o7OEwhGKMp1YzIZV5wshxMWQnWkhhBBr0jSNgXEPrX0TLATiy9e9VXG2k7SE\nZCanV55ns+jISNfROz1Izj85lpqvvFk3WlUV7ttRSlV6CfOzBsbGVyhzl6DDG/QxOetfc916vY6y\n3BQ2FLokkBZCXBayMy2EEOKCFhZD/PKVDloH3CxGAqTYksh3ObirrhhHQnxzrjyXA5fdSavbiNcX\nJsF27kdNff1S2sY/9XyOB2yP899LnqN/bJb8jKTlOWlJNm7fXMRcwM/p/tPY7TpsFt3yuMWsIxT1\n4Q0ECYYiGA06hBDivSLBtBBCiAtq65+gsWuAztk2rGZon4TuqUzGZry8/+YKcl2OmPmKolCc5aR5\nJAX31GRMMP2Mto9njsDjuw7SOxigf2aYxjMZMcE0wKaSDPrdHuYXfZxq66am0hITUBv0CsFICH8g\niNFguazXL4QQFyLBtBBCiFVpmkb7wBRu3xglBSYy0gwEg1HO9Izxer+PUDjCh3duIOe8gHpDoYvG\nzgxOjI6RnxXl5ZdVntH2wbMHKSqCegVuusnE66MT9LlnWQiE4tIwdm8rxrcYQuvWONXSQ1WZCUei\ngUhEIxxWsBhM2K2xDV6EEOLdJjnTQgghVhWJarin/cwvekhJWtp/MRpVqsutmO1emkZb+eWrHfgD\nsbnNOWmJFGe6SDKl8MWX/oydO5d2o4uKlmpG79wJBoOCLUFhfH6azuGpuPc2GvQ8cEsFO0pLKU2u\noLk9zMk2H2e6AyQaE0lOtKDTyY8xIcR7S3amhRBCrElDQ31L3KooCuXFFppa5mkd7eHXr9l44NZK\nFEVZnvOxFzcC8EDC4wRDUYwGNaZmNEBasoGp8Sm6hqepKY5vwmI06PnQzipSHVbSupwMz46zGAlS\nnJ7OTRtWr+QhhBDvFgmmhRBCrEpVFMwmHTpVTyisodOdC5YVRaGy1Mzx08Oc6ndQcMZB3Zt1nJWv\nKmgHNH52tI3fNZ+gs2ecDeXWmJrRAK4UA7390/S754hGo6hq/E6zoijctrmQbRXZtPRNsBgKU5iR\nFJdaIoQQ7wX5+5gQQohVqaqy1IRFZ8Hrj8SNm006SouMdEx08WrbMMpXl4Lts6Xudm3Kp8JViN9r\nYtgd37HQYFDQG6L4FheY9QYuuBabxci2ymxuqcmXQFoIccWQYFoIIa5Ds/MLvNY6xKkeN7PzC2ha\nfLfCs/LSHSRbnEzNhOPG6ushLdnIj7x/zp+f2s6L9/fHjCc7rNy1pZgqVzn9A2G8vvhzmIwqgdDi\niu3BhRDiSidpHkIIcZ1p6R3ntw1dDM6MY9AZSLIkUpGbyt11RSSsUB2jKMtJitVJ81QfmqbF5EU/\no+1jJwf5281P0tGpcbJ7jO2V2Rj058rYVRW6GJjIYy4wT/OZbmqqLFjN58Z1OohoURbD0ct74UII\ncRlIMC2EENeRaFTjpdMDvDF0Gr11ASUC3SMaY3O5THr87L25nIzkhJhjMpPtuJISUScszM1HcCTq\nqa9nudTdUy1QXW0gIcXL8OwEXcPTVOanxZzjjtpCpjx+wn0RTrb0sqHMQqJdj6ZpeH0aCXYbqYlS\nL1oIcfVZM83j6NGj7N27l5ycHFRV5dChQ3FzvvKVr5CdnY3VauW2226jtbX1sixWCCHEpTkzOMng\n9CQRnY9NlVZqKqxs2WRhJjrEa70t/OxoG57zcpdVVaEiL5XMhEwGRoM8cmQfz2j74krdpTr1TPmm\n6RmZiXtfg17Hh3dVsb24jJKkCk63BTnR4qO5YwEjNjKS7CRLMC2EuAqtGUz7fD5qamp44oknsFgs\nMX/eA/j617/ON7/5TZ588kkaGhpwuVzcddddeL3ey7ZoIYQQF2dy1s9swENayrk/TJpNKjWVFkKG\naVpGevnN611EIrEpF3XlWXxr7H68czoO1D3F47sOAsSUukt16plemKbf7SEajc/BNhr0fGTXBu68\noZL3FWwn21xGQjSbjRmVbCpOj/v5IoQQV4M10zz27NnDnj17AHjooYdixjRN41vf+hZf/vKX+eAH\nPwjAoUOHcLlc/Nu//Ruf/vSn13/FQojrWltbgP7+1cfz86Gy0vzuLegqE4lqRLUohvO2UnQ6haoS\nC8ebhzjZaycjOYFdNxQALFfoeH5vL882NNHT38umKh2KosSUurNZ9aiGBSa9s7invWSm2uPeX1UV\n7qgt4uYNuXQMTTPl8VOWl0J2auLlumQhhLisLilnure3F7fbzd133738mtls5tZbb+XYsWMSTAsh\n1l1/P+zZs3qw/JvfBKisfBcXdJUxGFR0iko4vMLOsVGhosRMW3snKWccbCx0kfot23KZu4VAiLb+\nCcZ7JxgYDpCfE/+wos2i4g8t4PEvkkl8MH2W2WSgpjh9/S5MCCHeI5dUGm9sbAyA9PTYb4gul2t5\nTAghxOUXjWr4A8ELlrgDSHVYsZsTmPfGV87o6oKkRD1JyRp/3X4zr7YOLQfSABazgXu2FVPlKmNk\nJMrsXHyZO4NeIRQJsxAIXfpFCSHEVeCyVfO4UO5bY2Pj5Xrba5p8buJ81+M9MT+fD6y+Mz0/P09j\nY/O7t6D3mKZp9Li9NPfP8r0j3SRYDKQmmthU4CTJFr9zvBiK4JuaZ3BqiiTbVExHwyNHnHx76BEA\nbls8wOGXT2ALT5FgMcScI0UfICFo5+XXeinJ17Bazp3DPR7FFzHR2tZKZG74Ml21eLuux+8R4sLk\nnnjnSktLLzh+ScF0RkYGAG63m5ycnOXX3W738pgQQojLx+1ZoL5llL65QfxRL4ZZA4lTDgYn0tlW\nlkZZVmynQJNBR0qCGcuslTmfD2eiwtCQiZ8s/h20HWR74j+Sm7vIoiHA5MIsA5MpVOUmxZxjc6GT\nGe8ikdEIXX0D5GRqOB0KmqYx54UsRwIuh+StCyGuD5cUTBcWFpKRkcHhw4fZsmULAIFAgJdeeonH\nHnts1ePq6uou5W2vO2d/i5TPTZx1Pd8Tk5MXbjltt9uvm88lGtX4+YttjPqOY3F4uX1rDoFFjYHh\nRcZmp+iZd1HpyGZzaWbMcRFrBvOvwHiwl291fx6AuxcPchhwOBykpUFCYpDJURO2lGzq6uKT0Gtr\nI/z6tS7e6B6gY7KLoQk/qgr56UlsL9vIXbtueDc+ArGK6/l7hFiZ3BMXz+PxXHB8zWDa5/PR2dkJ\nQDQapb+/n6amJlJSUsjNzeXhhx/ma1/7GhUVFZSWlvLoo49it9v5+Mc/vj5XIIQQYkWBxRBdw7N4\nItNUuZYqZVgtChUlFobHgpweasV83EhakpWctHM71JtKMni1NZ3HWj7I39U+RVLi0o+C6Wm4556z\n59bT2zfHyOQ84XAE/Vs6GgLo9Tr23lxOVqqdE53JjHvmWAgHyHKksLMm/137DIQQ4r22ZjDd0NDA\n7bffDizlQR84cIADBw7w0EMP8c///M984QtfYGFhgf379zMzM8OOHTs4fPgwNpvtsi9eCCGuZwuh\nMMFwEFWNYtDHPqeSnWHEHwhweuwMtmMm/mT3DZhNhuUyd/Uf7OOR2Z/RM9DLDVVWVFVl69Zzx5tN\nKqohxIzXy9TcAunndUU8q648i7ryLNzTXjy+AIWZzphW4kIIca1bM5jetWsX0Wj8U99vdTbAFkKI\nyy0/f6n83YXGrxdnG6Os9rx3cZ6Jk14PneODvNKayu3PFC1X51gMhmntm2C8d5LeQT/F+RZKSmKP\nNxpUQtEwgVB81Y7zpScnrBpwCyHEteyyVfMQQojLobLSfM3XkQ6HI8z5F3HYzOh0q1cwTTAbsZrM\nRCK6uI6F9fWwc6dCSYGZrzQ+QF73MfxfCi6Pm4x67t1ewpzfT8PwCRITgqSlGGPOEdWWAnWddCYU\nQohVSTAthBBXiGg0yuvtIzS0DzO34MNqtJCcaOHGqhzKclPj5ptNelxOK2Ys+BZ8MWPNzfCMtg+A\nT6V/k6FZN6d63GyvPFd5KS89iZ01RfhCC7T0tBKJQkbaUkAdCmks+DVsKVYSbVKZQwghViPBtBBC\nXCFOdo/zm4Z22ibaiSiLRCOQaEpkYHKSupJ87q4rjtmpVhSFzJQEbIYE5n1LwXR9/VIg3bNhH0Ut\nB6muhvS0IO7hSfrHPDHBNMC2ymzmF4LoFZWW/jOMT/pIcuiZ9YRJsaZRmp1C4gr1qoUQQiyRYFoI\nIa4AC4EQr7UO0z3dQ26ORnamnXA0ysjYAieHT+EPLgCwe1tJTFOs0uxkkk1JdM24eeTI0k704/sP\n8tRTB9m/f2nOYkhPZ/c8Y9NeolENVT13vKIo3LmliJRECwlNNkbnJ5id9pCgM1HoymFrRda79yEI\nIcRVSIJpIYS4AgxNzjE4NUVU5yMrwwqAXlXJyzLjSAzR0t6JqcOI025hR9W53eVcl4Ps5AS+E3yU\nh0v/H3Kzl3aRq6vPndtkUDGaoswuzDE+4yUjxR73/ptLMynNSaFnZIbBcQ9mo54bSjJIcVgv74UL\nIcRVToJpIcQl0bSzFSXkIbVLMe9fxB8MkJCgi/ssHQkGigujtPa2YzlloSgzCZczYbnM3c+2v8Cn\np7/H4MgEKckGrBaVnTtjz280qAQjYQKhyKprSLAYqSlOp6Y4fd2vTwghrlUSTAsh1hSNagTDEYKh\nCOE3q0ZomoYGvBlLo9cp6HUqBr0OvU5Ff4EqFNeTt/vLRjiioaGhrjItPcWEx+PnS2d2Upbdyv3P\nVy2XuWtoaKA8y8nwop3m9m5qN9rQn1d3OqppqIoilTmEEGKdSTAthFhVMBQhEAwTDEVYDEIoBOHw\nUgB9NohWUJaCQFVDr4+g10cwGECvWyq/ZjUZYnJ0rxfhSJSOwSk6h6ZQVZUEi4HCTCe5aYkrlrtz\n2ExY9Bam/bEl7rq6lv4tKYGDA3/J/QmPc2Z4nMmHz1XvUBSF7WWpdHlMeLt8NHeMs6HUgsGw9Lkv\nBiMEFsCWYsGRIA8TCiHEepJgWggRR9M05v1BFhYjLCwsBdEGnQ6DXofVokNR4ndaI5Eo4WiUUDDK\nYiBKVItiMoUJWMKYjDqsJsMFayZfS6JRjV+90sEbncOMesfQNDDpjaTbXGwqzuD2zQXYz6uQke60\n4TDb6fJAOKwt7yx3d8Nh0z4Ygsd3HaSty4/bO073yHRMPrPJoOMPbizDFwjRPKKj8dQwWRl6bBYd\nI+4gqVYX5dkuKXMnhBDrTIJpIUSMUDjCvD+Iz6+xGFAwGfTYbPo10xR0OhWdTsVkWPr/0aiGfzHE\nrCeM0RghYIlgvk6C6ubecd7oHKZ16hS5WQYMBgXfQpTT48NMLuQx4fHzkZ2VJCacC2xNRj1pSVZs\nU4nMeAJ4ZvR8e2gfHD4IHKSubmmXOilRx/TYPCNT3rj3TXFY+cSdG/nN62ZaB52Mz0wy5faSaHJS\nnJrPjRty38VPQQghrg8STAshlvkWgvgCYbxeUDQdiVbjRadoqKpCgsVINGpgIRhidnYpqF60RrBZ\nDFjORt3XmFA4wistw/TN9lKYZyAz/VxXwaz0KK0d/Zzsj2J9Vc+Hbq3EaFz6NmzU66jIT6Z9OJP/\ncfpeYGkn+reLS8fec8/Sv74FHX0DS2XuVuJIMPORXRtoH0hnaGKOiVk/TruFbRXZpCZJZQ4hhFhv\nEkwLIYClahLzvgh+P5j06xfsqqqCzWzEqhnwBZZ2qsOREKFwFLvVeFVVAYlEokSiGnqduuovGfP+\nIOOzPha0OTJctv+/vTsPrqs8833/fde45615sGRr8CAPmOBg3IEkJKSBhAycdJ3Tw+0TEpLqIqfb\npGjI/aObOAnpQ0NCpTvpTsM9JtUFSXflJuQkTZ3um85QhQNxAQkOZrKN8IQlD5KsaUt7XNN7/9i2\nsDyAZUmWg55PlUv22mut/e7t5a2fXj/reac9Fo8ZXNYTZ+eufnYejFGXifOhTSuA6sz+e368jG+u\nfY5bSt+mtb2aopcvn37+mGvghwFlLzjnOA3DYG1nE2s7m2bxaoUQQpwPCdNCCIpln0IppFhQpOLu\nvHTiUKo6U+35JvlJD98PCaMy6cT8PN9cKpV99h4ZZTxfIRVzaaiJUZOKEXMsHNuctu9EsYIXVHAd\n46w/KLiuwfrVcV58ZR8792W5Ynkzrf+UAcD7QsDzrw0wlMtxoH8XibjBihXTzx/4GtMwsK1L+z0T\nQojFQsK0EIuc54fkSz75PCRjzrwHW8c2sa0Yk8UKuTAiDMukEw6uc2l+HB08NsYvdhzgwMBxSkGZ\nuBUnbiXpaW/g6vVLaMjGSMad6QcpNdXt5FRPPgnvex8kEwY/Kt7Jj/bC+q7eqRZ3AOu6GhkYKeDv\n8ejd9xqrV7qkkm/8nRwfC0g7aWrT8fl6yUIIIWbg0vzuJYS4KMIwqpZ3TFZLO2zLfOuD5oBSikwy\nRqHskZsIAA+l1BmzvPPJD0L8IELratmGY5+5WMpkscL/98xenut7Gd+coCZtkfc0xZxirNLOkeFJ\nPvh7XXS1ZqYCdV0qRspJ4nnTu3IAvPJKNUx//pef5d53PcTzL1XYe3gU3w+xT7z2VNzhfVcsJVfw\nCA9F7Ok9QGOjIpM2iCLNoX6P9c2reefK1ov2XgkhhDg3CdNCLGITxQqTeTCVtSA3BCZjDqWKIjfh\nAxWyKXfeA31w4geIiqfxvGq/bNsG14Fk3CF2ygz5Uy8e4rWhPohNcuXqxFTYLpcj9h/qZ8/wBNGz\nmleiI+MAACAASURBVP/6vlUsba62DrRtk/pMnPjxFPmCT03W5Mkn4f/oz8I6ePDBrdx82VbiMXDc\niFxpkqHxAm2NmannzaZifOTqbrIpl+dfSzE4fowjIyX8KGBFTSer21pZvaxhXt8nIYQQ52fW/58b\nBAF333033d3dxONxuru7+eIXv0gYnnvJWiHEwqt4AeWKJvCrtcwLJe7aWIbFxCTk8pWpFRZnIoo0\npYpPvuQxUahQKHl4Z1k2u+IFjIwX2d+fZ+/rkwS+iaFtKiWTsXEYn6weD+D7Ib39Ixye6GNVlztt\n1joWM1i7ykXFchwcP8jPn3ud3InjLNOgvTlF1qllaKR6k+D/0Z/l796/le5dW9m8mamlvlMJg0kv\nz+BYYdo4lVLUZxPcsLGT/37DOj6y4UquW30V16/exMd+bz3/9b1rZvweCSGEmB+znpm+77772Lp1\nK9/97ndZv349L774Irfeeiuu67Jly5a5GKMQYh4UKz7lMpdEi7pkzCFfgsl8gGFUyCTP76bEKNIU\nyl51hb9KdXVGAKXAdQNirkEqXq0DD8OIp3f1s2PPcSbKeQwTamJZWusyrFvWTH0mSX7SI4pCTMNj\nPF8mVyrgxiAeO3O2XCnFym6Xl/cM0DuQ4Lk9aT7wzg5cx+KyrgZu+s//BsD/bPl/+Lv3bwXgssum\nnyMeNyhNlKcC/OkSMZuV7fV0L6kjDCMMQ120UhwhhBDnZ9Zh+rnnnuPmm2/mIx/5CADLli3jox/9\nKL/5zW9mPTghxPyoeAEVTxMGCjd28aq9Ts46K6ph9NT2cqm4Q76kGcv5lCp50gmXk5PBplGtaT41\nYPtByPhkmYNH84xN+GQTcRprksQdmzCKyE8GlMsRQVAmk3R5fu8xnti5n33jr2G7Pqap6B1V1I7U\ncWiom40rOljX2UK+WMayAnKFMl7o4brnDvWWpVjZ7bCnt48X9jXw4Z+tQH9Zs/ShGh7/wGtse2UX\n+14/xLqeGKappmakTwpDjakMbPvcz6GUwjLVJd/xRAghFqtZfxe96aab+NrXvkZvby89PT3s3r2b\nbdu2cffdd8/F+IQQ86DkBZRK8z8r7QchFT8kjCLCKCIIqjXK1eXIwTSry5SfvPEwCCP6BvP4YUBd\nxqGxNgWAaYY4jo/rVGeatdY8t+cov949wNDkOBEeMTtOjZthzbIW1ne1UJOKV8s+JgMOHx9i2wsH\n6B19le4ug6aGaicM39cMHB/npcGdVEIPLwhZ19lCsejj+xEGJuFZ2jnv2wcrqu2hSSVN0mmfu/df\nwxM3H0RrTfSliMGxPH2Dk+waLPLagWF6lrtn9KbOTYYsTSSpSUlnDiGE+F2ltD5bA6eZufvuu/nq\nV7+KZVkEQcCWLVv4m7/5m2n75HK5qd/v3bt3tk8phLhAfhCRKwSUihbpGdZKl7yAMNIowLYMbPPs\nvZS9IMQLIorlAN83UJjoiGn7ag0ajWFE5P0SfSOTDI97FIMyfhiScG2W1CTpaEyzpDZJGGkMM8Rx\nI3YfHmVX/xjHyocx3TIxFzwfvLJNk9vKskwrVy1vIunalLyAX/X28crwfhK1OZa2nDneiUk4csyi\nK9HD1cvbScVsIlXmFy8dZV9xN+t74NSX+bOf1fLBD47xzf338pfLt/DN/fdyU3A/V7as5sNXLsG2\nDIIwYmC8zBMvHOdQ4XW0m6OtRRNzq+cYHtMMDsS4oqmH/7JpKa4t94MLIcSlaOXKlVO/z2azZzw+\n60/vf/zHf+SRRx7h+9//PuvWrWPnzp3ccccddHZ28pnPfGa2pxdCzDEviPA8hXsebei8IOTIaIGx\nQpnRfIWCVybU1Rv7TGWRsB2asgmasnEa03GUUhw6PsGR0SLDOY98xcdUCteyqUnEaK1J0ZxJTpUs\neEHI/qExXu4bYdgfoGyMYjk+lqU4VtQcD9IcL7bSOdnIOzoaUMrgpf0jvNA/zLHgIJ3tmtpTPtdK\nZY8jA32Ux4r4r4W8p2cJpqE4nquQ83J01mmqRSbTZdLgBwFHhvvYfTjJphXNKGUSs21MbeP5Pq4D\nhw+79Pe77Fnxefbsh//m/k+gwue6trCrt0Su4BOEEbZlYJkGDRmXd6+tx3xVMVA8zv6DgxiWj1Lg\nVxy6Mku5vKNOgrQQQvwOm/Un+N/+7d+yZcsW/uiP/giAdevWcejQIe6///5zhumNGzfO9mkXlR07\ndgDyvok3zOaaGJ0oMTKqySbi51wSu+IH7Hp9kL39gxwrTZLzx5lUE0SxCpal0FRLJCxcin4duXw9\n+3Ia348o+R7HS6NUrDy+VaqeUJsUVJZypZnJfIx3Lm+jvaGWFw8e5mh5lEJqmNpEQH1dDamUgeMA\nuloGMTR8nBEzydGKy9VrO9hx9BUm7TzrV9fR3nJmK73l3ZrefRXK2mOMFJctaya7f4iGeIa29uQ5\nS1va2zW7eitoU2FmmuhZVsekSlM54OHGRvnm3s8BcGN2K/z7Vm68ERrbYenS6vFDYwXqsg0s71nL\nkoY32txVvID3Xl3k2V2D9PaNUKiUifCpT6fZtKaV96xfNusl1eUzQpxOrglxOrkmLtyp1RVnM+sw\nrbXGMKbfGGMYBnNQPSKEmGN+EOL5GkMZ5wzS+44M8+vePo5OHOVIvp9Eyqeu2aI9ZRCPJabtWyxF\njI0Ps2PfYY4eC0EF2HGfNd1puhsSJOLV2eog0IxP5BkaG+fo8CEmypPErQQDY5P0lXazpFXRUJdA\no/H8asu+mAvZtElNxqD/6CF2D0bsOzrMaHmEdCYklbDw/BDTNDBOCaOmqVi13OWl3UfYP1RLseLj\nhWVirkkQaqIoOuMzC6olKN3LHHb3vk7v4UaWNWXpbqth79EW7tv733ngvf8L06w+z+gofPCD0493\nXUUlKpMv+dO3OxYtdWk+uCnGdRvayRUrVLyA1vo06YQz6yAthBBiYc06TH/84x/nq1/9Kl1dXaxd\nu5adO3fyjW98g0996lNzMT4hxBzygwjf56ydIbTW7HjtMM8fOETv2G7ceJmVK23Sqdg5zxePKQ4X\nI0LtUXGOoe08bsZirNxIbahIqiRQ7XrRUGfRUGcxPOrz0sHnmRioIXCHWbsyTkNddbZYoXBsaypQ\nu051a8cyi737+xg7WqBiDrNpQwLTiPB8jWkGxJzps82WpVje6bB//2sU8gZhAKZlEIYQRBrnHI0x\nEgmDTEYzUh7mnY+9C4AH1+/ktsq/0ndkjK5l1Rrzq64689goBEuZuM6Z5TOGoUjGHZJxqM3IzYZC\nCPF2Musw/Y1vfINMJsPmzZsZHByktbWV2267jS996UtzMT4hxBwKwmpHDdecHvj8IOTJlw+w50gf\ne8f3sLTdoLnx3CH6pH0HPQ4cmWAgP0hrR5FkWjOeK3Msf5TwaETU3EhjTWraMemUiWMZDHj7ScY8\nPOqAuqnHTwbqihdUW8eZgFbUZhWv7DmKncxjmg626VD2/epss9bTZqcBshkTJ14mlx+nWAogo4gi\niKIIeOP1P/nkG4uofP6Xn+ULVzzI377wUba+4yWuv6qjWhYzUWDvaJ6hREBTgzXVyeOkKNIUSyHx\nbIKa5Fu/b0IIId4+Zh2mk8kkX//61/n6178+F+MRQswjPwgJAkid0jtZa82vXjnIi/37OJTfy6oV\nNpn0W9+cOHTc5/UjRQbygzS1FUgkqz2ka7MmphEyMHG0en40TTVpoNpXeWIiIjcR4mRyBIkcx3KQ\ncB3qM2+EboXCsUwqXkAspvE8TcUD0y0TmnmOjU2yvLUB06iWkARhhHOWxUyaGyz2jg5TzidIp6iG\n6dNK0F555cRS38DfvX8rYaj548w/cDyXB6C9KcHVazuI9gT09r+MYQQ01E3/6DxyzCdt1dFSnySd\ncN/yvRNCCPH2IbeQC7FIRJEmjKpB9dQ63ef3HWHX4UMcyu9lXY9DPPbWi4OUKyG9ByoM5oeoaSxO\nBemTMmkTZYQMjB/FVCbJmEMy5uL5msEhTUnnSNf6uEnFWG6Yo6Nxssk41ikz5oZhYBoGvh8R6YhC\n3iAWD8lFBUYniyxrCjGViR8GhGEEZwnTdbUmnp6kVIkR5X2iyETr6mt/8skTIfrAVrrZOrU6oWkq\n4nEo+HlyhTIN2QyXLa9jbLICaPb39TIyWqG+1sR1FZP5iCPHItY1dPOey5aesxZdCCHE25OEaSEW\niUhroohp5RD9x8f57f4+9o2/yqoV9nkFaYADh3yGJ8cwYwVqasOz7pNOmgRByHBxiAMDNj1tTXgV\nGBsPKUUTNKR9bNegUPTIVcYZyqVYUje9f6dtmZS9CKWgXIaIkJgbUvDzjEwUaKnN4HnVHxTOxjQV\nzU0We4d8KiWLYkmTTCg+/8s3ZqIf3AWbN08/zrYg1AFBGBFzbZQR8O7LW0nHXVKvpxgoHmV0YIJy\nUMYxYqzKtrKxZwmdLbXn9f4JIYR4+5AwLcQiEUXVMH1yVjoMI379ah/7x3ppbeW8SjsA8oWQY0PV\nvs1tXZU33bcmazJQKTJaGKd/yMUMaqhEJUzXw3ars9nZtMnI6DjDuSwtNelpnTYUCkMZJ3pja4Io\nIJ7UFPw84/kSLbUZFIpQn7tLR23WxHQCnnDu4ol98JX6b/H19/2vqffh5Iz0qUxT4VdCwijEMNSJ\n0o0K71hVx9KmNL19dRQqPhOFEomYzRU99azpaJhayVEIIcTiIWFaiEVCa31iKe9qiNzdN0T/+DFC\na4LW5vO/ae71fo+xYo5kpoL9FquRK6C+1mJwcAQzTJFWaXxdxo29sUa34xhYlk/RLzBeKFGXTk47\nh2koAg/CCEId4cY04xNlCmWPSEcYBugQwkjzq1+9cTMhMDUDfVPiW3xo8v/FqjtCEE6fxT51/5MM\nA4LIJ9LhVOeTdMLFMn1irqKxvgXfr+7n2JCMO8Qc+TgVQojFSD79hVgkpso8DEXZC3j59WP0TbxO\nd/f59zoulyOGhgPywQRtDd55HePYCtuGiWKJsl+iooukYtNLQxIJg0I+z1i+eEaYVhgEoYGhIkxl\nEEUGhuFTCSuUKj6ObRHpEM0bNxP+3fu38vlfVr9GkeZXzxYwygliqpFjx0aoWfnmNwmWKhENtnPG\nzYRx1ybu2tWuKGGEaSiscyypLoQQYnGQMC3EInGyzMNUit2HBjmcO0wsUSGbOf9Z6aGRgHyliBv3\nmMkK2KmkybGRIkahDKkS9aeH6ZhJbqLARLFEEIbTbkSsLgCuqsFVWQS+wrYVlaBCoezh2Ba//jX8\nwv4LWAfdu7bypKrWQ0P1h4eYq6iri2NZKQbGxsgXQlLJs5dkRJFmMh/S1ZCiuTZ51n0s0zhrr24h\nhBCLj4RpIRaJ6ESZB0qz/9gIA4WjLF/xFnUap9Bac3wkpODlSTUHb33A1HFgGyYKKEWTWJQxTsux\nygDbhkpUpljxyCROWdhEA9rAsjSmsohCA8uFcqXMg/v+bwC2bPoWH0g8xLcfNs+4mRDAdQ0cS9OW\nrcUpLWffwf2sXRXDcc6cUR4dD7BJ0lqfoS6TOPNkQgghxClkakWIReJkKcLA2CTH82Nos0w6df43\nzJUrmvFcQEUXSabO3sHjbKIItDaIxy0qYZlQ+2fdz7EMvMijWPHo6zt13GBZYJsGpnL5TfDPKKV4\nNniYT7Tey5YND03te7abCavn0Ni2ZtXSejrr22l0OtjVW6ZQnN7Sr1SO2HvQo6umi8u6GmT2WQgh\nxFuS7xRCLBKKajB9fWCc4dIQDXUz6zyRmwwpeRWcWMBZmmack9aKKDRxbUUQeQRhgNZntrKzHYUX\nVih6Pi+9NP2xrUf+AtdVPBP/IpeX/wKADXyaMIzQWmMY1dd2tpsJAfwAYpZLS5PDey/r5LKWVSxN\n9LC712d3b5mjAz79Rzxe3lOiNd7Jhu52ruppO/8XKYQQYtGSMg8hFonqzLSmb2iMkdJx1nTM7J9/\nPh9RCX1i6eitdz6Vrv5SgGFpQh1Q8TUxZ3qJiW0pjk54vHgk4LVdkM3C0/XVbhz/o/1BSkWDD0X/\nyNHgdUKviI40gdbVYK44Yznxk6JI4/uQqInRXOdgmzZXr1tG9lCchoEGxspjjI+NEkWK7lQtK5Y0\n8sFNyzFlVloIIcR5kDAtxCKhFEyWKuTKeZTpk4jH3/qgE6JIUyhGeGGZtDuzMK11dXYaBaGvQAeU\nvTPDtGEoNBGvtX0Z2oCRrfxfqa0sXaqZLISgFLVZi5yXpViYRBs+URgRaY06MTN9Nr6vMbFIxi0a\napIopbDtgCvsZnraGxgaL3BsNEc8ZtLdlmLV0nri7vnXkgshhFjcJEwLsUgYSpErlCj6eRKJmc26\nag3FkibQHs4MwzQo0AplgOcr3Ejjh9Nrrn8+9Cg3Nt7Kwcx3+VB8C/27lvLej75xvGFoUBHZtEVi\nNMNIwcVNBNVTa42p1FkXbIHquC3DJZuutrWzTAPbNHCdAD+AhvoMl6/KYFsmiZgtddJCCCFmRMK0\nEIuEUorxQpliUCSZmllfZK3B9yAiwDTPvnT3uYyMgl+EkSHIjSritiY3odlZeZQbm26tBummWwFY\nG/4pUaS5bH3Eqbd0KANsK8K2bbJJl8FCEr/ig1agNOabFHEPDnvUx5vpbq2ZCsquY+E6FlGkT9Rc\nK+kVLYQQ4oJImBZikVAKcvkyRS9PzQxnpqMIgpDqioMzDNOjI9CxBDIpTaFgMdr1Yw7AVIA++RWq\nddUAS5eeNnY0lhOhQ2iotekbrGMk7xH41U4dxjlmk30/YmQsZOOSBtZ2NJ7xuGGoU55VCCGEmDkJ\n00IsEqZhUPY9ymGZmDvTMK2Joghl6HPWJp9u/34IAti/X7M/W21f15H6PFHfn9DSXkbrCKVOGYfm\nRB9sdSLknjJ2UwERhBFpxyZuxcmqdkZHi+juCMs4+6D2HSrTmGimp72RhhrpGS2EEGLuzUlx4LFj\nx/jUpz5FU1MT8XicdevW8dRTT83FqYUQc8QwFGEUEeoAZcxsdlmdmMA92dFueOStj9ntPkpPD/DO\nR/j99P/g+tTt1NZqDOXg+yZRNH0MWoOhTCzDQJ02WxxpjeMq3HiIH0TEYyaNTicp1cTB10Oi6Mww\nfXigQm7cpKexi/df0Tmj1yuEEEKcr1nPTI+Pj/Pud7+ba6+9lp/85Cc0NjZy4MABmpqa5mJ8Qog5\npDVoohkXNhiGwlTVkBtFMDIMDfVn7vfvhx/l6vitPFN6FHbeSm8BVqtPo2oiIh8cN8LUNqFnnVFd\nEUa6GqZPK9kIowhDgWMboKGgfYzIZUVLG06shTF9kBd2Hae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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1731,7 +1731,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 0.01938022 0.04634068 0.00022408]\n" + "[ 0.02037772 0.04521487 0.00022534]\n" ] } ], @@ -1750,7 +1750,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": { "collapsed": false, "scrolled": false @@ -1758,9 +1758,9 @@ "outputs": [ { "data": { - "image/png": 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Demrr81zNF5nO1frf89sJu53oFQu1+naYDXh09DRNZitFzl4rYDHq2RvzErAE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hB7oIcS+SMC2EEOItqzbWyK7kOJM/y1MnZrmULG9fi/oc+GxOum0drfVBUDab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VAAAO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\nR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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1770,7 +1770,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 0.29442198 0.82419287 0.00369511]\n" + "[ 0.2560811 0.81614092 0.00355988]\n" ] } ], @@ -1789,7 +1789,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": { "collapsed": false, "scrolled": true @@ -1797,9 +1797,9 @@ "outputs": [ { "data": { - "image/png": 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VJ6hVSYeIyII55f/tPfbYY9xwww20tbVhmib33HPPccfccccdtLa2Eo1Gufrq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\nRERERH76D91C8W2B1RJ2AAAAAElFTkSuQmCC\n", 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CiZ/EPgnAeb1/zjuvdDl02OLl/SXaYis4f/UK3rmuFcMwFvldiMjbicK0iIgsCflimQd/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\nxObNm6UaW1+LM8YYY4wxNpD1y2R67dq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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1809,7 +1809,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 0.00881439 0.0086407 0.00077058]\n" + "[ 0.00865132 0.00887946 0.00077272]\n" ] } ], @@ -1834,6 +1834,100 @@ "\n", "However, this example should underscore how difficult EKFs can be. EKF have a well deserved reputation for difficulty. Especially when the problem is highly nonlinear you must design " ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## UKF vs EKF\n", + "\n", + "I implemented this tracking problem using and unscented Kalman filter in the previous chapter. The difference in implementation should be very clear. Computing the Jacobians for the state and measurement models was not trivial and we used a very rudimentary model for the motion of the car. I am justified in using this model because the research resulting from the DARPA car challenges has shown that it works well in practice. Nonetheless, a different problem, such as an aircraft or rocket will yield a very difficult to impossible to compute Jacobian. In contrast, the UKF only requires you to provide a function that computes the system motion model and another for the measurement model. This is will always be easier than deriving a Jacobian analytically. In fact, there are many physical processes for which we cannot find an analytical solution. It is beyond the scope of this book, but in that case you have to design a numerical method to compute the Jacobian. That is a very nontrivial undertaking, and you will spend a significant portion of a master's degree at a STEM school learning various techniques to handle such situations. Even then you'll likely only be able to solve problems related to your field - an aeronautical engineer learns a lot about Navier Stokes equations, but not much about modelling chemical reaction rates. \n", + "\n", + "So, UKFs are easy. Are they accurate? Everything I have read states that there is no way to prove that a UKF will always perform as well or better than an EKF. However, in practice, they do perform better. You can search and find any number of research papers that prove that the UKF outperforms the EKF in various problem domains. It's not hard to understand why this would be true. The EKF works by linearizing the system model and measurement model at a single point. \n", + "\n", + "Let's look at a specific example. I will take the function $f(x) = x^3$ as our nonlinear function and pass a Gaussian distribution through it. I will compute an accurate answer using a monte carlo simulation. I do this by generating 50,000 points distributed according to the Gaussian, passing each point through the function, and then computing the mean and variance of the result. \n", + "\n", + "First, let's see how the EKF fairs. The EkF linearizes the function by taking the derivative and evaluating it the mean $x$ to get the slope tangent to the function at that point. This slope becomes the linear function that we use to transform the Gaussian. Here is a plot of that." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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x1G03b4alS10QlIiISDWgkW8RE+TkwF/+Yjx/7jnwLOfvxOJWOeke2p3uod0B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\nARg4EHbtMtZS/ugj6N3b7KhESm/sWGM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "actual mean=1.30, std=1.12\n", + "EKF mean=1.00, std=0.95\n" + ] + } + ], + "source": [ + "import nonlinear_plots\n", + "nonlinear_plots.plot_ekf_vs_mc()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see from both the graph and the print out at the bottom that the EKF has introduced quite a bit of error.\n", + "\n", + "In contrast, here is the performance of the UKF evaluated with the same Gaussian and function.b" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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HL1sx9YnG8k203a/zR/q82ofG1T40rvbz57HNysoqsASdSHkq6fNXlhpW93yLVGABjQJ4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\nJuELAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "actual mean=1.29, std=1.12\n", + "UKF mean=1.30, std=1.08\n" + ] + } + ], + "source": [ + "nonlinear_plots.plot_ukf_vs_mc(alpha=0.001, beta=3., kappa=1.)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we can see that the computation of the UKF's mean is accurate to 2 decimal places. The standard deviation is slightly off, but you can also fine tune how the UKF computes the distribution by using the $\\alpha$, $\\beta$, and $\\gamma$ parameters for generating the sigma points. Here I used $\\alpha=0.001$, $\\beta=3$, and $\\gamma=1$. Feel free to modify them in the function call to see the result - you should be able to get better results than I did. However, ovoid overtuning the UKF for a specific test - it may perform better for your test case, but worse in general.\n", + "\n", + "This is one contrived example, but as I said the literature is filled with detailed studies of real world problems that exhibit similar performance differences between the two filters." + ] } ], "metadata": { diff --git a/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb b/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb index bb875be..51db78b 100644 --- a/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb +++ b/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -29,8 +29,8 @@ "output_type": "stream", "text": [ "50000\n", - "3.00761397\n", - "1.99265941012\n" + "3.00043200502\n", + "2.01072423406\n" ] } ], @@ -59,7 +59,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -68,7 +68,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -99,7 +99,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 3, "metadata": { "collapsed": false, "scrolled": true @@ -107,9 +107,9 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -130,16 +130,16 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -160,16 +160,16 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -190,16 +190,16 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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H2mIUYKDHTjAng/kjmGdch8quP/wR+zl5x3USCRXvaqd3gSVUbgcMXLDEdZDcqXkUOgTt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\nERERERERERERERERERERERERadn/A38U8Gwenr9vAAAAAElFTkSuQmCC\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -208,6 +208,7 @@ ], "source": [ "plt.hist(data, bins=200, normed=True, histtype='step')\n", + "norm = stats.norm(mean, std)\n", "plt.plot(xs, norm.pdf(xs), color='k', lw=2)\n", "plt.show()" ] @@ -221,16 +222,16 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -259,16 +260,16 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -278,8 +279,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "mean = 14.01\n", - "std = 2.80\n" + "mean = 13.96\n", + "std = 2.81\n" ] } ], @@ -323,16 +324,16 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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/DE1Kyho//BCgcuv9YKwL52jgqxS3mtPH+uvdZH+Xs50D3kuWWvYea3CHYMLh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\nA2M4lcKIkGoqTQCq1QSsJTG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S5/zwAZbo52M3cq8CPhKuH4eV4h/GbhT+CbgtrcAHKVrNUR7rAcAMsvThlIRP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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -342,7 +343,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "mean = -1.60\n", + "mean = -1.57\n", "std = 2.10\n" ] } @@ -378,7 +379,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -389,7 +390,7 @@ "-1.5*sin(x/3)*sin(1.5*x + 2.1) + cos(x/3)*cos(1.5*x + 2.1)/3 - 1.6" ] }, - "execution_count": 75, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -411,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -422,7 +423,7 @@ "-1.66528051815545" ] }, - "execution_count": 95, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -441,30 +442,20 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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GPRthZTJIz04F77U0E7yteP2aLGEP0AV4lPTAv7SZOrsYzPQC/5bi1CZSEsFlZ3AFC7QU\n9g1wRzJA3warLXrQQwthD+4SzAdJD/wfZ90LHOOFfb3BjsWrUaRdFT07RwBTgI+Ai7MsH4j76rwG\nuCBj2SzgbWAi8Hoz+1fYByl72BsMqvdGixrRLkEPOcIeXOA/QyrsG4AjstSbsPQbvp4obp0i7aao\n2VkLTAP64NpZJwGDMtbpAXwFdzIsM+xnAt1zvIbCPkjZw34qvJUMzqfBEq5ppMhBD6mwtwPAzgE7\nMctKGwNvkQr81cCe6+0JdjHXQVoy8A8sfr0iRVfU7Nyb9COdS6IpmyvJHvab53gNhX2Q1g/738BP\n/UstD4AXaLf+45vCfizYZJrvHXNL3AFLMvDnRvPS9wZ/9Gp/zdrlD5RIURWUnbn6s+8FzPGez6XZ\nG2CaLeZp3C3wpxZSmISlM/TeD25KPn8Alj4Hh1HEAUla8HwLyz7FNUUujZ73wnXVkHld/c9J9ak/\nFDiqmAWKxC3XjSRtPereF5iPa+p5Ctf2/2KW9UZ7j8dHk4Sj0/Ewbvfo87QGmOH6v1lRwhr6gc0D\nToDE+Ixl04DvAY/hjtj3x3Wj3PRNNOH6yRkLnB/Nusbg4QTUt3vlIvkZTjuOxbAX6c04I8l+khay\nN+Pks1zNOEGx3mCngS1ONuPUwq/e9ppvPoB7SlCH34xzLlgvsOfBWurJ8jLSr9A5Pm2PsIXBcq85\n50ft+AOItFVRs7MDMB13grYT2U/QJo0mPcy74rqxBeiG68Pk4CzbKeyDYt/EdVnwO7AewBHHeUG/\nFtaa+ybX3nX4YR8NTG5P5gj7Gly/+cmwXw70TdsrXO6F/WxLDZ8oUm6Knp2HAB/ivgqPjOadHk0A\nPXHt+stw7aKzgQ2BL+H+OEwC3vW2bfeCpT3ZN3G9TwJs1wE++8AL+0a4pkR1NBf2h7hlzdqE9BO2\nL+E1ZxpsaLDQC/wz2+9nEGmT4LIzuIKrW1PY1wDjf+gFfYNrAsl1qW2x6sgW9k9EpTyaY+OhuLb4\nZOCnDUJucK4X9nMsj37yRWIQXHYGV3B1awr7czuATfPC3tx5mVLVkSXsAeywPMIeYBSpsK/Hu/4+\n6kZhgfdznVHk4kWKoaiXXopk8dqGwC9PBPqlZn6GG4AkFNfhmnDA3QtwD675kYS7+eoGb92ROrqX\n0CnspUBLa+HEwbWwQUbvYjcm3HmbMmM1YDOjyb/LtgH4Ae4kLbi/W/75hjuAhdHjbYGT2rtSkUqn\nZpygDLsbsO+nN98ssdSVVyViNdHLv9VyM07Ten8Bqwd7N2NHPyTVnNMIDGvaEi70fsaPzV2RJlIu\ngsvO4AquYjtBoq4G7P30sL8896bFZgmwkdG0uzc/W9g3gnUE25n1u1VIkN4l8lRcN8kYdPOvzJnE\nLqPAjnWTSOyCy87gCq5StUQDg3w7PeiXGWwad3EpdhjYElw/bFuR1jumDQCbF12e6d8LsA2uCSoZ\n+E3t9QYXJX/WpWyypCNrp9Fyb5sipRJcdgZXcJU6iygMJ6WHfYmuq8+XbQH2NdzA5F/KCPttwB7H\n3f2befPVj0mFfQPu8szkdfeLkj/vNYx8RmEvZSK47Ayu4Cq0La6fG/tmetCvKs3dsq2R7JUzW7/3\n/p229iDY61B/Pq7Tvijwu34Ii74CtrHBJcmfeSFbLOvIWoW9lIPgsjO4gqtMAniYKATfpGatF/Y3\n5dg2RjYD7FSwO5sJ+9U03Qtm/wC7Gdd1whc0Bf6Na8Au7MGnf1xBtzXJn/sk/k9hL+UguOwMruAq\ncwxR+H0t/ah+jcHWcRfXPJsBNgbsWbCfZCwbDHYg2EG4DtQujNb9FfzoBZrCvks9vHsv2LtXMHpV\n8mefQn/bnEUDwIaDRTdj2Xa4DuJOA9u4xD+sVKfgsjO4gqtIN1xfRwbY+zDPC/uxMdeWg82Ijurz\nuNHLzgVb5H6s1f+FrZfQFPiHrwa7ezOWzFxFl6ZvNZdw7RPRyd6p0T4OA5sDtgLsMrA33STSboLL\nzuAKriLXEIXegbA0GXR11DYa9I67uJbZ22DLwa7PY90twXaPptvg7n+SOllrwGFg0//K915LvgdT\n2X5VLXVjwD4BOxLsZLBHwaZH3xLudauKtJvgPl/BFVwldsCN3GS4w+R3kkH3b46YHXNt7chuc2F9\nvH8p5kxYMaM3M3+3ms7rku/DGM66HuwhsIVgt2aE/RiFvbSz4D5fwRVcBRLA40Rhd4AX9I3QsBtv\nPhtzfe0oGfbzpwFec865S8HG3M8xE7ymrDcMErjeNusV9lJiBX2+1DeOZHMkbtxWALvPhR4A0+n3\n4kSGfBFPWaXUsxH4Wer5bZvCs90v4+qJuJEXAb6CG5DnKGBj3MlsaLdB1kXCpqOf8tIVmEV0RPt1\nuM87krW9efk5UoOXVCC7DexP0YnXGlzPmNHR/aC50HCLwRjvPXnJHd03bf8hWJ07Mawje2lXwX2+\ngiu4wv2CVFv14lXwQDLYnuGAT8F+C3ZEzDW2I7sK7GOw8dGML5M20MlVjxtsY7DOC/zhWfaToGmk\nRvvfUlUvVSW47Ayu4ArWD9dEYYAdBaMMGpOhdgDPvAKWbRzhSncTTWHfZSmwscGdXtg/vf4mlgDr\nDHY72FklrleqQ3DZGVzBFewRUkf1rzXAXV6gPQ42rkrDfmPgE1Lvza8NvmRQ770/e2ff1G5T2Es7\nCS47gyu4Qh1OKswaT4dvGtR5YTasisMe4Luk3p96YGeDP3vvTzPnMZJX91h9NGV2wCbSWsFlZ3AF\nV6AuwAxSYXanwVgvyJ53q1V12CeAZ0m9Ry+shYF+M5fBbutvZrdFl2Z+FL1/I9ZfR6RVdOmlFOwi\nXCdgAJ/dDrcApyQXfsDAW8DOB/rEUFu5MFw3z/XR8/06u0sv7/fWGZVlu7dwfeU/ihsJS6Rq6cg+\nXn1xA2wnj1hPN7jRO1p9vRNrBoItBfs12IB4y43dDaTeqwWvwT7+pakGOzW/qT2hI3spoqJn5whg\nCvARcHGW5QNxIxitAS4ocFtQ2MftIVLhNWEG9DBY6YXXkWADwabEXGe52AiYS+o9u9ngIe/9+mvz\nmyrspaiKmp21wDTc1/eOwCRgUMY6PXBfZ68mPezz2bboBUtBDiUVWgbsafALL7jeMahR2K/nO6Te\ns4bb4QTvPWsw169QFgp7KaqittkPxQX2LKAOuBd3K71vETAhWl7othKfDYAx3vM/GnwAnO3Nuzah\nduZs7geeiR7XnAFnGIxLPgcuiacskeblCvtewBzv+dxoXj7asq20vwtxN1EBfA6MBP6X1ODh04B/\ngJ0C/Kb05ZW15Mna5AHOvj+D173lP7Sy7wJaqk2HHMvb0sRSyLajvcfjo0naT2/gUu/5KINVwPne\nvOsSbuDtIcB84NYS1heCKcCvic5F3QSnXQsvd4J9cb9XFwFnZtmuFiz5e9cACTVjSr6Gk7VrjuLY\nC3jCez6S5k+0Xkl6m32+2+rDXnoPkGpzfguoNfip1+4826CTW9XGgmULLYENcd9eDbCT4UHvPcwy\nbKM95t1cZWD9suxTJF9Fzc4OwHTcSdZONH+SFdzRuR/2+W6rsC+tb5B+UnZvg84Gc7yg8m7vV9jn\n8G2i9zIBDcvhbe99bGFAdpuusJc2Knp2HgJ8iGvDHRnNOz2aAHrijm6WAUtxY5Zu2MK27V6wNKsz\nMJVU0N+Fe3CmF1CfmrujNqKwzyGBOzlrgH0P3vfey1XmrlbLQmEvbRZcdgZXcMBGkgr6z4H/MdjA\n0gcSPy99E4V9HgYA64je24WuGSz5fl6TfROFvbRZcNkZXMGB6g18QSrsz8Y98Nvq56cf1YPCPm/X\nEr23x8My7z1dbrDZ+qsr7KXNgsvO4AoO1L9JBf0koINBlyjgk8H00/U3U9jnqRuuCdMSYHPhM+99\nvXz91RX20mbBZWdwBQfI777YiPpeNzjXC6R55m60yqCwL8DRRO/x99N7w1xirpsFj8Je2iy47Ayu\n4MB0BWaSCvrf4x50NViQ/Qocn8K+AAnc5cZWCzbbXX6ZfH8zLjtW2EubBZedwRUcmKtJBf1iYHPc\nkwu8IJqT/ageFPYF2wFYC9gpqffXDBabG/EqorCXNgsuO4MrOCBpV4kQ9VFv0M1goRdEZzS/C4V9\nK1wNWEewWa5jtOT7fEVqFYW9tFlw2RlcwYFI4AbCTgb9f4n6QjK4yAug2eauv2+Gwr4VuuI6ALQf\npB/dL7fom5XCXooguOwMruBAHE8q6BuAXXFPNjZY5AXQaetvaoPcOUY7D+yfCvtWORKwGrD30gP/\nBrfYpoOtBrsx1iolZMFlZ3AFB6A78CmpsG/qtdLS+6ufZU194PjsPLCpYCvBXgc7tlSFV5AEbihC\nOzo97L8w2BqsK9hFYLfEXagEK7jsDK7gANxFKujnEZ0YNOhp7hb+ZPD8IPvmdh6YujVuu364Edzs\njfTAH+sW2zkKe2mDgrJTA45XnoOBk7znZwDLo8dX4NqTAd4G/la6sqrSdOB6gMvS559msH0M9YjE\nSkf2xbMh6dfU35dcYNDfoN47umxheDwd2RdRF6J/k/HpR/f3R0f288H+G3ONEqbgsjO4gsvYb0gF\n/WfAlskFBv/wguZZc23KWdi2YFcr7IvqMMCGpoe9PcMBR4Dt656KFCy4z01wBZepPXHjxSbD/sTk\nAoOhlh40ezS/G5sJNhcsS38u0gZ3A/a39H+HV67kykT0dBjY1jn3IpISXHYGV3AZ6gS8SyronyQ6\ncjc37t0rXsD8o+Vd2Uywvu1cbzXqDszvDbbGC/wGEseCvRQ15zTTZYVIVsFlZ3AFl6ErSQX9Stzo\nYOBmnOAF/VpLDTL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uW9x3Q7B8OrC3N38+rq/x14ApWbZV2MfXH0gF/XyCg69BW72/V3912w9jy8G+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\ngg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "-2.33139272541763" - ] - }, - "execution_count": 112, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ @@ -472,8 +463,7 @@ "plot_normal(xs, f2(mean), abs(float(m)*std), color='k', lw=3, label='EKF')\n", "plot_normal(xs, d_t.mean(), d_t.std(), color='r', lw=3, label='MC')\n", "plt.legend()\n", - "plt.show()\n", - "m*stdb" + "plt.show()" ] }, { diff --git a/code/nonlinear_plots.py b/code/nonlinear_plots.py index d43e109..fff68f4 100644 --- a/code/nonlinear_plots.py +++ b/code/nonlinear_plots.py @@ -8,6 +8,7 @@ Created on Sun May 18 11:09:23 2014 from __future__ import division import matplotlib.pyplot as plt import numpy as np +from numpy.random import normal import scipy.stats @@ -84,6 +85,90 @@ def plot_nonlinear_func(data, f, gaussian, num_bins=300): print("fuck") +import math +def plot_ekf_vs_mc(): + + def fx(x): + return x**3 + + def dfx(x): + return 3*x**2 + + mean = 1 + var = .1 + std = math.sqrt(var) + + data = normal(loc=mean, scale=std, size=50000) + d_t = fx(data) + + mean_ekf = fx(mean) + + slope = dfx(mean) + std_ekf = abs(slope*std) + + + norm = scipy.stats.norm(mean_ekf, std_ekf) + xs = np.linspace(-3, 5, 200) + plt.plot(xs, norm.pdf(xs), lw=2, ls='--', color='b') + plt.hist(d_t, bins=200, normed=True, histtype='step', lw=2, color='g') + + actual_mean = d_t.mean() + plt.axvline(actual_mean, lw=2, color='g', label='Monte Carlo') + plt.axvline(mean_ekf, lw=2, ls='--', color='b', label='EKF') + plt.legend() + plt.show() + + print('actual mean={:.2f}, std={:.2f}'.format(d_t.mean(), d_t.std())) + print('EKF mean={:.2f}, std={:.2f}'.format(mean_ekf, std_ekf)) + + +from filterpy.kalman import MerweScaledSigmaPoints, unscented_transform + +def plot_ukf_vs_mc(alpha=0.001, beta=3., kappa=1.): + + def fx(x): + return x**3 + + def dfx(x): + return 3*x**2 + + mean = 1 + var = .1 + std = math.sqrt(var) + + data = normal(loc=mean, scale=std, size=50000) + d_t = fx(data) + + + points = MerweScaledSigmaPoints(1, alpha, beta, kappa) + Wm, Wc = points.weights() + sigmas = points.sigma_points(mean, var) + + sigmas_f = np.zeros((3, 1)) + for i in range(3): + sigmas_f[i] = fx(sigmas[i, 0]) + + ### pass through unscented transform + ukf_mean, ukf_cov = unscented_transform(sigmas_f, Wm, Wc) + ukf_mean = ukf_mean[0] + ukf_std = math.sqrt(ukf_cov[0]) + + norm = scipy.stats.norm(ukf_mean, ukf_std) + xs = np.linspace(-3, 5, 200) + plt.plot(xs, norm.pdf(xs), ls='--', lw=1, color='b') + plt.hist(d_t, bins=200, normed=True, histtype='step', lw=1, color='g') + + actual_mean = d_t.mean() + plt.axvline(actual_mean, lw=1, color='g', label='Monte Carlo') + plt.axvline(ukf_mean, lw=1, ls='--', color='b', label='UKF') + plt.legend() + plt.show() + + print('actual mean={:.2f}, std={:.2f}'.format(d_t.mean(), d_t.std())) + print('UKF mean={:.2f}, std={:.2f}'.format(ukf_mean, ukf_std)) + + + def test_plot(): import math from numpy.random import normal @@ -124,8 +209,9 @@ if __name__ == "__main__": from numpy.random import normal import numpy as np + plot_ukf_vs_mc() - x0 = (1, 1) + '''x0 = (1, 1) data = normal(loc=x0[0], scale=x0[1], size=500000) def g(x): @@ -137,3 +223,4 @@ if __name__ == "__main__": #plot_transfer_func (data, g, lims=(-3,3), num_bins=100) plot_nonlinear_func (data, g, gaussian=x0, num_bins=100) + ''' \ No newline at end of file diff --git a/code/particle_filter.py b/code/particle_filter.py index 1a65226..827eb3c 100644 --- a/code/particle_filter.py +++ b/code/particle_filter.py @@ -30,11 +30,13 @@ class ParticleFilter(object): - def create_particles(self, mu, var): - self.particles[:, 0] = mu[0] + randn(self.N)* np.sqrt(var) - self.particles[:, 1] = mu[1] + randn(self.N)* np.sqrt(var) + def create_particles(self, mean, variance): + """ create particles with the specied mean and variance""" + self.particles[:, 0] = mean[0] + randn(self.N) * np.sqrt(variance) + self.particles[:, 1] = mean[1] + randn(self.N) * np.sqrt(variance) def create_particle(self): + """ create particles uniformly distributed over entire space""" return [uniform(0, self.x_range), uniform(0, self.y_range), 0, 0] @@ -49,23 +51,22 @@ class ParticleFilter(object): self.particles[:, 1] += dx[1] - def move(self, h, v, t=1.): + def move(self, hdg, vel, t=1.): """ move the particles according to their speed and direction for the specified time duration t""" - h = math.atan2(h[1], h[0]) + h = math.atan2(hdg[1], hdg[0]) h = randn(self.N) * .4 + h - vs = v + randn(self.N) * 0.1 - vx = v * np.cos(h) - vy = v * np.sin(h) + vs = vel + randn(self.N) * 0.1 + vx = vel * np.cos(h) + vy = vel * np.sin(h) - - #vx = self.particles[:, 2] * np.cos(self.particles[:, 3]) + randn(self.N)*0.5 - #vy = self.particles[:, 2] * np.sin(self.particles[:, 3]) + randn(self.N)*0.5 self.particles[:, 0] = (self.particles[:, 0] + vx*t) self.particles[:, 1] = (self.particles[:, 1] + vy*t) def move2(self, u): + """ move according to control input u""" + dx = u[0] + randn(self.N) * 1.9 dy = u[1] + randn(self.N) * 1.9 self.particles[:, 0] = (self.particles[:, 0] + dx) @@ -87,11 +88,12 @@ class ParticleFilter(object): self.weights *= prob self.weights /= sum(self.weights) # normalize + def neff(self): return 1. / np.sum(np.square(self.weights)) - def resample(self): + def resample(self): p = np.zeros((self.N, 4)) w = np.zeros(self.N) @@ -104,6 +106,7 @@ class ParticleFilter(object): self.particles = p self.weights = w / np.sum(w) + def estimate(self): """ returns mean and variance """ pos = self.particles[:, 0:2] @@ -140,14 +143,15 @@ def plot(pf, xlim=100, ylim=100, weights=True): if __name__ == '__main__': pf = ParticleFilter(5000, 100, 100) - pf.particles[:,3] = np.random.randn(pf.N)*np.radians(10) + np.radians(45) + pf.particles[:,3] = np.random.randn(pf.N)*np.radians(10) + np.radians(45) z = np.array([20, 20]) - pf.create_particles(z, 40) + pf.create_particles(mean=z, variance=40) mu0 = np.array([0., 0.]) + plot(pf, weights=False) - for x in range(60): + for x in range(10): z[0] += 1.0 + randn()*0.3 z[1] += 1.0 + randn()*0.3 @@ -170,7 +174,7 @@ if __name__ == '__main__': plt.scatter(mu[0], mu[1], c='g', s=100)#, #s=min(500, abs((1./np.sum(var)))*20), alpha=0.5) plt.tight_layout() - plt.pause(.02) + plt.pause(.22) #pf.assign_speed_by_gaussian(1, 1.5) #pf.move(h=[1,1], v=1.4, t=1)