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@mundya
Last active December 30, 2015 11:09
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An attempt to build a working NEF example from scratch. Currently only for 1 dimension, but will work on `n` dimensions as soon as possible.
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{
"metadata": {
"name": "nef-2d"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Multi-Dimensional representation in the NEF\n",
"__Andrew Mundy, University of Manchester__\n",
"\n",
"This workbook illustrates the representation of multi-dimensional values in the NEF. As in the previous work-book all units are to the base of 1nA per unit (p.u.).\n",
"\n",
"Essentially, all of the machinery set up in the previous example is still valid -- the only changes required are to decoders and encoders."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import nefwb # Useful components from the previous workbook\n",
"from matplotlib import pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generating a population to represent two dimensions"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.random.seed( 4562313 )\n",
"population_A,encoders_A = nefwb.generate_population( 500, 2 ) # 2 dimensions\n",
"\n",
"# Plot the encoder preferred directions\n",
"ax = plt.subplot( 111, polar=True, title=\"Preferred direction vectors for population A\" )\n",
"for e in encoders_A:\n",
" theta = np.arctan( e[1] / e[0] )\n",
" if e[0] < 0:\n",
" theta -= np.pi\n",
" r = np.linalg.norm( e )\n",
" ax.plot( [theta,theta], [0,r] )\n",
"ax.set_rmax( 1.1 )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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xZhXx7LNXWLLGAiG6B8TFAaAUi4lxduWQYih5p7Y3Xf87V2ewXM6HbdoQnqnm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\nI5tp16IG5eB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qovrxCI4Ybic9Zyjjx4vIu+1PQu/epNXWEltRTes0ReJ1pYizlan4motU\nmk+1lgoqElCQKNGIFMRNlEp1SFBURLWuBpV0EXZm70kqNqewjTo62okolcgxLJCim+aIqFtXLGIC\nWWLaFj+FK0ScSCZ3pg+5Gk28jItjo5cHx3UX43eyCWGtIznLczDYo8/qQyYYjlxPntoB1NS+ctTA\ngDxRHmWJZTjJxJx82oWGhb/yc/l2PrxTJd43mRYG89HVHUA3rZ1cuzGY8K/fmbTGipkji/DL2kyc\ngQGxyw8y/LUpx7V/o6EyietbLqBSmUuZuhJTlvxE9NEE7gy8w6fqTyi3fcfK0hgi/P2xCQ5mcVQU\nlXI5DBwIkZGwfHlzf0rPnhAaSmZmJgr/Ze6iTCxmSktDMvp2JKifI51nQdIIB0Ycb8HUmY8YnRNP\nQgdnRhoZEeLkRNSunbS+6Iencw1aV9bTMrYQwWYUrbtM/SE/ysrK+PDhA97e3v9jPv5P8KcRE0VF\nRfr06cPdu3d/GKuj050D6z+xc9pB+on7EX0pmk0fNnGq8RTGI4z55csvVIypYKLvRL4t+Ub4nHC0\n9Tsz6stXuoSEob/3LDHj5rOjVBnrhAi0bm1ArKfx+1qL2djYNNfbzp5tzkiWLG1C0t6PtOF6ZH05\nxyLZIswbzXny5AmXL19GTU3O2LEDGTNGiePHb/PLL+95/vwlERERDB3aishIV9TUnHBxeUORuCWz\nf7pPpwVFrDhUT3b7XM69XozDhwRS+mnzOOQKUe7rcDfQxyXvE7dLPflWkE+/HV3oLg5CEIPTwoXU\nr9hMfaMKR9e2w7LYii9VRzCzrcSjohX18gyu3v6FEu9C+rpd4VJ2LUNi9bEY3cizoKl49cxDeGFL\noyCwcIGA/uPHZPTpQ1dNTXIKDJDWS8gzEVAvVqIsoQixQgkVGoqoSATcu3WhSSRFJJFTLtYmSUmC\nYmMjslwNFMqCMVSXk9Cgj3r+Y2pTa5GqS6lVh0hdD5ZonaW0zUNqFGuIbSxB38gX49JGtBK/Mik6\nmvVHFvGrfDPT9qih1V8XgxdKFAyr5dcTHqjMGkJi0VSEJmNOOxdR0lBKeVw5Tgqw76U79SMnsa58\nN+++yEkaV4a6YjdMTJZg2HSewMPqSC2sGTmzEamZIcHtLqD08TWnV+7Brmg02lVR/JTmy7EB2xnl\n3ZG68mIeZ2UyoPtwfOrHsdJjJWdLTjCsexm+4a85fvcuLYOCOJ2ZiVwkgjFj4OtX8PWF8eMZdOwY\nos+f/9uzKxKJ6KGtRWgPZ2J7dmDSDAmVc81ZE+6E3ehQah+/JNrJjDN2dlTo6HB7zBhkAbdx/2k0\nI21rWTLI9of8uH//Pt26dUNVVfUf5uH/C/40YgIwZcoU/Pz8/lDswwsPCYkLwX6rPf0P98dhqgO3\ntW6jMUWDbVO2Ubi6kPPDz5MoaNMzIpKRIe/pvPkQseOWsFrTmpY50WieXIpIVQm5HK5da+5Vunat\n+UpsZgaTJwtU6b6idKohEVlLGJs/Gl8HX06dOMXo0aPZsmUTvr4jiYu7TFDQejQ05tGnzxQmTZrE\nkycPaWw8QVzcJGxtz2JhsZ2QwgqOjn+Pwq0wZp4px9gwmqtnF6DWUEK8Y2ui0q8SbLOAvq2sGacX\nQbb9CL5UZ+B5wAffypOktDSiW6+eNPkHQmEhuwd4sGjWahYtm8i8RbWEHxSjO64CtV0G7J4/hCnF\nFwl4MoZJvccy4dNuMgfJ+Oo/jSCr9UhSF2JkJMei9hOlEgmxWlq4qoqxjheTKFWFFg3YqqhRk1qO\nRFZOhaoCqpImlKRqNIqkIGmiQtCjTFlALhIhztKhqjQKFweBhIi+VOU8Q6u7FmqOqnzSTefc82+Y\nVcXy9F4dM010uKh8kazNyZQsnkWyQiVHTvrxRFeHbgPSaErJIKClFeXvyhne3w2JuJLxYbNQmG5C\nXFovsrKGcKnne8rryqn4WoGHTJ1TmTNo+HUfG8sPEJJaSrqPKvIKBSwtDyOtfculeWG0HzmY6b7v\nCEpxJ3BGCP2ubOH+4OGEt/uVsS9ELFOaicb3Kh4cvY1acSpVuhos2rGNQ4v8uN/3Ptqq2gQonmJD\nJwVcAu8x79kzbIOCCCsrax79N3UqJCQ0rzkYMADGjm1+tPx/gbWKCufb25DXqzMbJ2mhskSLG7L2\n2EzO49DWGxzXbSTWzY2uOjrctbVFac2viMV/3xAL4Ofnx9SpP85g/tn4U4lJ3759KSoq4uPHjz+M\nNfI0wmqkFSP8RhDfMx6nKU7cnnmbgtUFLOtA0nLuAAAgAElEQVSyksDSGtq9/8Dy4PdM/nk70b6r\nme3qhV5hFBq7ZiBSkCIIzbubXF2b2wj274e+fWHChFpeRxxEOteZNwzCKdKKTV028fzBc8rLy3n9\n+jVv3z5mxowRrF7dmgMHnvPTT0HcvHmLsLAwpk8fSHR0TyorI+jQIRJt7d4c/ZTG1z4xKAhw62J3\nvNWCOLdxLeVtBSJV3SgUTnNDYzzDTZ2wyXnF45rRPE39QJdTS1meu4FgVxeGaGkhKMiQvw3nhsVQ\nJp1fx0LvBcxfWknQAzm+q7ug8bKOtXV+mKjH4+IQzL2aLHRvlVPhXcznL/0ZYKHK47pYckrHMmeO\nCuk3bvC+e3eCbt1CoSELx/AGYrUBxS/0tFCjIaceqUIlFcoSVCVyYt5FNWcm0iYq5Po0qDYgFgSq\nM7SobkyhUw8JEW9sOVVdiE5HMdoiCe3qnehTMAJ8fFikcQ7PfpeJ5zvRVfUY2EzGuFJEVX0Ze0ND\n8VkyhZtSH7ZskaOy04GkRUmMvdiNPkESXKQ7EEY3kPm9G+8+ruBm/ydU1FVQGVuJc0MTJ4LaUz91\nCVvKDvEyN4Oc8daUZ0Xh6HgXeWM+v/S5zC8X9rF1wyN2+ffm58VZHIvbRZxMxvEFBxgQ5kKm0gNW\nvp3MzYkXGTfAg9rvWXwQmujazQujKGMejntIYGYgte0iOKDXQO21a/R89YpBb99y8OxZcoqKYMGC\n5jmjLi7NRsJp0yA9/f96lrUVFFhr3YpCbw/OjzDDfLGIKM/2eK3RocfkC/TI/8rJ3GwOW1v/kBdf\nvnwhKSmJoUOH/iPU+6fgTyUmEomEOXPmcPTo0R/GikQiLIdZ4uniSdTCKD7P/YyX1UCOZOdgFfqW\nY0/esnnJGsLmb2PMqGloF0agvnoMot/9O69fN1u9V66EtWth0SKYNw8eB5dhssCXRMdf4EU+25y2\noV6vzvnz57l06RJ9+vTE07MDTU0veP36MFLpbLp1G86AAQN4/fo1mpqfiYhwR19/BE5OD2mS6PHT\nrRiM+qfzYqCIvYtqmNd0kt+WnSBpjAIPM/qi1Go3x+qHMLtNN5yqXpGqO4Zb8c/wvLWd9QkLuObV\nG9/MdJg6lYZ9Z4lRG4D6zRGE7g9Fwew5yjrl9Cm3pVw5kk9+I3m4XINZsqNcuOfD6iELmRG8jsSx\najy8spiGfpdp82IiiMVMmwaKDx5QPWgQ4uHD+VKSh1m0MnH6ElDMoL+jCkKhQJlQSsi7FNQkjShJ\nlPgO3Gt6QlWTPjpKtaQBAekVVCvm0dFbQlZOb7wnGaKjFktlRCU6NWLKtRp5LbdnROV5jnzqwwBD\nKReUj5O+JJzqn5eTXZPP/BMnqG5o4O22iUxqOsOM39QwmmVM9upszPxasvKgHobue6nvkUODZBj3\nX/zGnT4PKKsvpyq+CueaevbGeNEwaxU7K0/wpCSWgnHdyI66Qrt2IWhoKNJHbwlX7m/jYdAnZm5x\nwq5XI2/aP0Ia9Jjzy9agpDWXgZEljKsehEWmFi8uPUYjN54aAy02XbnM5EEzONjuILPaz2JDwnoG\nD1dkXWYiL69eZYWODgdLS6luampeAbl6NSQmNq9E+G98P/8VCmIx440MSfLqwIs+bei1sImiGY4s\nvOnAoZc5qPyBJzPHjh1j5syZ/0fN5l8C4U+GgoICQUtLSygsLPxhbFNTk1BaWioU1NcL61NTBf3g\n18LAw5eFEHs3ocy8v1DtH/p/fCciQhD69RMEc3NBOH9eEJ4/F4T27QWhXft6of/mrYLKehVBpbuK\nsG7DOmHlypWCrq6usGfPHiExMVHo3dtdsLSUCdeu9RZSU6OE/v37C66urkJMTIzQ2FglfPs2U3j3\nzlIoK/sgCIIgpNbUCDM3vBUCtV4KjqdfClrBD4Sj97oJiW1UhCeX1IRpvkuFaUs3Cca7jYUDwTOE\n0NAWwt6QtULr/a2FhaNeCrlqusKWcVOERn19QYiIEOoUDIQcSTdh44UNQkpUimDbQkN4cEckLLWT\nCB+emwkpfTQFx4lfBY8Np4XzF2wEvVkDhLU+AcL3Xgjn/TyEX83TBLN1GoKZTrbQrp0gyDMyhGIN\nDWFLYqLg8/Wr0DroshCgECwYdE0RePhKqG+QC+Gqu4RiQ0th+pmhwtLLCFk1NcIXmZPwSP+CcEF0\nWJjhJhKyxWIh2rKrEBIoFoqK8gUlSaPw4p6OIJ87R3hn9U4IGhQh7OnwQDhsvlNoaucijNR6Jryb\nvVaQyERCAOeFquffhGxjNSGtXWvh5bJlgsLLl0KWhbtgKC0UTp5oEsI7hAtZR7OE0zMeCgcdngla\n55YJInex4NhugaCpVSTM7r1IuKtxTwgxCBE+dvgo+PWNFRR23RRUNQ2FZYZLhcWaM4WIwFFCdXWS\n8P69g/DqlYoQGvubYDhsmKBuZSUEPB4rvH9rL/Tq4yxw6ZJgv2mTsMRKW2g3WyR0m2wlRB6PFCYu\nmySgqiBIensJKrq6wrIVK4SMggxhVuAswWi3kXAs9JgwaeUKQXHrVkH7yRPhUk6OIJfL//Pg5eUJ\nwtKlgqCjIwirVglCUdEf4kNydbUwKypReJpU+sPY8vJyQVtbW8jKyvpDv/3Pxp8qMwHQ09Nj8ODB\nnDt37oexYrGY29XV2ISGkXL1GS8mzeLy0QDcjpxGI/UhyiM8/hIbH99cJxs0qPl1927zyMRp0wVs\nBt0lcbAuIZ+2MShtEAcnHeT82fOkpaXx7NkzoA43tzZYWn7j9esrNDVNxd29N+7u7rx79w5zc4GI\nCDfk8mrat49EQ8ON5/nFHPX9QJ/z9cy80EilZR6nk1fTZX00KRvg7N3NeE0dx4MWR/jZeSBlr/2J\nkcxn38dzjEq8zE/PJuI3eCjLA/2RBAfT0Hc49U3KbJlnwSqf1Yz39mHtL3D3msDsLUOQfClhT/g+\n0kYVMb3VXvweDGT3mDXMDFxG/HgNLl5YQadZ8ailGJFbYcSCBZB9+zbBHh58qauji7o6jQU6NDZK\nKVAGUbYyClIRQo0qSvUVlIvrkUkVUJFIaBRJaVKQ0yRRxbxJxndBQCZUopIuIOYLpjpNpKS2ozb2\nOTr9dDDSVUatUhmTDFsaxk/kV+Oz3FRZTzt9gZtKfqRPeYGwcSMVeRl4njmNTWUlSw9v4JrIh6VL\nQfeAPWlr0xi7zBOppJLRD3qjPbkH38qP4drhHvfiFvPSIYwieTENeQ20y6vk0EsnaodN4ljNZRpk\nUipnTCXm3lLatn2IpmZXmgp/4/EWdZzG+TBy/DPCkgeyaV0Oh8IPE9fYiN/Pu2n3fRDOOSn0TepE\np9y2vL73HI3MGGr01Tga+gYP9+6MVRnLMY9jHA07Sob9B671cKD11avMCAqibXAw4f/h6zEw+EO+\nn/+K1kpKnGhrhbfl359bAnDp0iV69er1w9lA/1v404kJwLx58zh27BhyufyHsZ2SSng6cgIH74Rh\nc/c+ml9voNjT6S+fZ2TAjBnNV1cXFwgNbd4w6uUloGsfQ8NMSx7lT8Ei2Jyz485SWVDJ7t27OX36\nNKtWrWLo0H5curSBa9eGsX59JIsWXWXr1q08evSI9evXk59/iqioXrRqtRI7u4tIJOrsj0ojrn8M\npsViZp+qo7XGVy4ErcT4XDa56xo4eu4kw39qz5IPA9nZdSyO4gfIW/uyPuggUyv8mXR1Gte9erIk\n8AaKz54inzYToaiUPV09WffbDraO34q7VzoVjeWMrGxDgeZT6vbac2mFO14fwqmq1CDDKJ34G3LU\nrJMp0TCgxWdXLihspmX4TyASM3o01AYEUNq/Py/LylAX8ukYU0KSgiqCqgiVQmWoqKBero1iRQnl\n1CKVKPAhJAS5WEqTRI4gUsK0ToF0AdSqClDOVqI6OwxXZ4GEd4Mo08xEx0NKfWot5lliivRqCMrR\npW3WAwIuVLCnfT+uC2/JydRHz8MHTUUNvtnr8/j2bW4pK6M3tQ096h4zb4sK5hvN+eb7jUkPe+P9\nXIR1/lyUJunx5tMsnNsW8KSyLxEtvlAoL0ReI8clvYwd+WOp/2U/F5vucVP+iNoF8/l0dTY2Nicw\nNJxMRfEdDg17zvyjB/hpyVnOPB2P6+hswjpEIrp7h/NTppHb6Rdm3xHYabCKg0fXELHtHb5DelEb\nHUGugx1DJ07gyIZjPBr3iNEOo5kZOhOv8fr4KYnJPXuWrq9fM+rjR3Lr6poPpInJ3/p+rKz+W9/P\nf2D79u0/dNRD86Cxo0ePMm/evD9Csf8V/CnFpGPHjmhoaPyeFfx92HdzIHrtamTBh5G5/Kc7Mj+/\n2cXr4tL8p/DpU/O+HTc3qCIP81/6cVfBk9o7Zex02cmI7iOYM2cOnp6evHv3jqdP7+Ht7cHEiQJB\nQY+pqfHB1bUrrVu3JiIigrZtW/P160hyc0/i4vIGIyNfquVyFtyJxnRAOvFdpaxdU01v8ROOH92I\nPLqSkqUNHDl5mwkb9FkQMpJDPSZjLfhTqLuGI8mXGVK4gd6HFhHqbsvk4IdonDoFV67Q9DGGwJZj\n6H1hNilBKQSE76ffmHwS90oxWK1MizOwyfgoItsCJrbbw7HXrhyfuJEpN+aTOF6di5dWMHlqNU9L\n3xGRNZkePUBDXInxx4+I+vZFVSzma1kGFu/FpBrLQK8JC6kqQlYWTSgiKMqoaKxEIpEhE4loEklp\nUJAjEithWCslQaqIenkJCnn6VOd9pFNvKXEf3SnvboCWKIrKyEropka+jTJp/gVI+nozX/86eYOu\n0UJL4JHiRdJHB6K0bTeSpGRa3A1gbFERQycM55TaYt4+rybcpAVSLSmFZwqxPtuKlQe1UDfdgTBO\nxPOQ7ujrmPHawIhvyskU1Rdzuvg0HskNHPjYkdr1x7nIPS4Lt2lYvozIU3MwMVmIuflmKiuj8Wn1\nK2cfX+HClQcs2uuKyKCKkDVldNu9Dn9ra+7M3MyAZ5ZIhTf0euXMoKq+hAW9RislkioNGaHIcW7f\nAcMMQ2LmxPC98ju/Zv3MoWX9WR4dzYNLl7B89YqNiYnU/scfpJXVH/L9rFq16g/VP968eUNDQwM9\ne/b8R6j2T8WfUkxEIhHz5s37Q4VYgGlL/j/u3jqq6nXb/3+tojsFCRPB7g4M7E4MEAN1W9tut93d\nHeh22yjbxALBDlAUEAGlu2OxYMXz/YN99r1j/Ma4x3N/955z9n3/ucb8DMb6rDnfzDmf+bznLIz+\n2P5cXFytG+zhUU0eUVHVv1v79vD+YwWeG5Zw06EesUHP8df6c2zpMbZu3cqnT5+IiIigXbt2tGzZ\ngLdvj3HnzlQWLvzI/PlnWbRoEVevXmXHjh1UVr7j3bsWGBi40LLlS4yMGpBYUcGsrW8YMLWI/csk\nBAwvZ4Y4wZblR8g10VE0TsbJgMeM31TJrCfjOeo5kfCAk+SarWP2g7WsbHCL/hfukOVmQPfoCBzm\nzwedjqojF4gzGEjmmWY0s2iGj89Y1v0iuHRSMHuXL1VpCQT+PpfQeWqGv3tEdEwbpG5FhF8CR4uP\nFDXUQ/moL1HtLtPpRSeUWgNmz4aie/d43bAheUZG9LS0JLygBOdoMz7XlIKrknY1jNF8yUAhzQdb\nW0oqS5DLDOjevTtaqRyNQodUoo+VCj4pjDBWVSBJdUJZ8YX23WR8zW5AYV0NsjdhmLU3w7mBKXoq\nU1zSGqAcORZfzWmO/GbOOud6HNO7R1asLZbdhqNvZc+7pjacOXOGZJ2OxwfXcYQZTPIDh73upB9K\np45DTcrHaFmxuybGXbajHazmQ0x78rMG8apNPilVaQw3GY5BDQNafshh94smlHbqw2X5Q86I39Cu\nWUTEgUVYWHSmYcMLaDQF1FGN4dmDwyQUlzPQP4/iqhZs3VHEvmeniC4uJmDxSiwdZ+IXUsEMo/Gc\n27yfDwffMWVEb1QvnlLcoQ3+S5cydcJ0trTdwvlh59n4fCPvnJ/yYNpIegUGsjUoCJcnT7iWk/Mf\nl1qbNPn/3vu5cOHPez9S6Y+F6N+ykr+npfy/iX9LMgEYO3Ysz549I/m/OFL7z6iogB07qqdWU1Kq\nF7sNHFh95H/qtI7Bq8/ypLk9j0KO0+VjF+6su0N8XDzLly/n0KFDnDx5krVrl+Dt3ZeZM40ICnpB\nSclgWrRoh4mJCePGjaNjx/YkJa0nOnokbm6HqFdvL1KpPvdz8zk09S0jj2r46bggqqmSrZqtzJ5y\nm++dZWR3tibw1guGrUnk50fTCOjtj4PmEn389zL17nLWeQRiOPcEZjUycC7KobhhQ17Xro3aby6F\nwoPD68yZ1XMWM3rMYKIPJGWX4VfVkgzr69htNOI3n2mYVZYwuO1RTsaYccJnPaPOzeC7tyFBQXPx\n66rhSMIBKtM2IJVK6NsXcq9f57uXF0+LiuhhYcFnrQ21co2It5OBcwVe7kaURmch0ctGamNDaVUZ\ncrk+ADqpHLVcIJMosFJpSVQYo5NI0CQ4Ui5No1kzSFZaUaJQonn1BKu+VkhKdDSKlZBlW0zwaxVW\nyjQ0UTF0Wn4dqVzNW/k9UkYEYrH7ELZRiciiPrArNZWpLk70bV9IvdJIFm/Vp/6B+nzx+cLYnT3R\nU5Qx5po7NQfMpqx5LqWqvrwMXcjrAe/ILcijKKcII3cjWr3KYLveYpSrj/K78QuO6c6g2zGfDzu2\nIJOZ0qzZE0BGZeowIgImUaNHD3oPu8i3vNm0mhjL6zaZSC9d4mjPnsT7bMHngiExlpdot6wR4+Xj\neRP+AssvbymWq3ksk9CoWTO+BH8hwj+CXnV6MezOMFp423OnbUssTpxg4uPHtH72jA9lZf/hwH+7\n93PiBBw6REbDhmRcv/5Dvp+VlcX9+/fx9fX9R8PsfxT/tmRibGyMj4/PD2cnUVFw9eoVQkNhwQKY\nMQPmzBH0mfqC5CGuXItegt3vdlyYeIHOrTszfPhwWrZsSVRUFKWlJXh41Kao6CaPHy/D3/89S5ac\nYOrUqZw6dYpDhw6xZMkkoqJ6UVQUSqtWEVhbD0QIwfaP34gb+JlWyTImntGAXT5nS35h4IQ3fJ0s\nJd7Zg9eRL+m2IIxlIQv5tc80LJTnUdvtYcqDJWxudZGCKQ9oYxJGhZkR7c3MaHP+PK6zF1KlNWS1\ntzPb5+7g8rbLJKvu08ormcx9Cuw3OWF9C1blHydueCq+idd4FDIE16ZG3Lksw0P7gpxuciJu+GI3\nLQl5nprnKR0ZMQIUUi12Dx9iMnQo4cXFOMo11M0spUKnoFQjwKGCXu5GlHwtQGpQgMTWltKqcuRy\nQ0JDQ9FKq8scGXIsKjSkmpiAEJSX26PWU6KnV06dGhqSIwdTKonDqpOCoidFiJZGZDUxJONyJhIf\nHzbWPcOxF02ZaW3OHrPLZL00w6xLP3S1a/HczZC5+/ahJwSLNy7hhmIkgVc0xNrbYdLKhO/Lv+MT\n3JtejwU1v3jiOLwDKZWReDT+haCrOwkdGUx+egFFiUWYtTejw/NcdrxuRNnyw9w3j+Bg1TE4PotP\nG09TWZlK69bv0NOrQXriDILmmjNm61Z8J24l6M0cJE7veL3ZjE7rVnHB2poHC9fhntGDSfpKRlT2\n5t6a6yRe/8q00f2pfHgXZc+urDx0iB49vRhkPYjI6ZFE50Tj/8Gf3et92KNUknDsGB3Cw/H58IGc\nP+7xAH+O5Mf5+WFqYfFDvn/s2DFGjhyJxQ/a/6/hX3KG9INITk4WVlZWIiMj44fsQ0I+Cz8/nbCz\nE2LJxhTR/nAXYb3KWpg1NxP79u0T9+7dE25ubmLgwIEiMTFRpKWliYEDe4jatQ3F6dPNRHl5nAgL\nCxN16tQREydOFIWFhUIIIXJzg8Tz5/YiKWmj0Ok0QgghStRqMfV6pLjqFCo2+L8QVqGPRLunR0TY\n6SYi2t5aPNlvJDavHyA2bCgT+18dEC57XER4zDrh728mwuMDhd0OO3Eq/LaYb39YJNo5itMDhwnh\n4iJEebnQtWotqqSmYmurKSIiOULERcYJByMrcfuioRjjKRFplxaIl3csxC2r4cJ5b6yoe/B3cfOm\ntTAfN0jEpGaIkJr9xFd/PbFpzUyxrV6iGHe4p/BtPU0YGenE8+dCVIaFiah69cSd3FzR7O1bsS/+\nsfCbd0Js1vsoZF0TBb++FEIIEdNti3jr6C+Er6/Q36An9jxpIUJCQsRTq77iWOtD4qpBmKiSSoXU\no5XQgnjWbK54c1YhSkreC99BlWJB3wDx/ZdaQnfnrnjh9EJEL48X67o/Frckt0Txi3dCbVtDONhU\niZLjZ4XcCBEgWy6SBv4qSsOfiHQzqShv1lA8O3xYSENCRPKGrWKT3hrh6KgTxelV4oXzC5EfnC8+\n344T180fCofTl4T5Rnuh56wnJvpdEFZWBWKir5+4aXRThNcPF1/8v4jnDs/FjompQjbQT9jWbSKG\nGg8V4c5PRNj0GSI9/YRQqwtFRERnER5uIT5/Hi0OPH8qZM7OouekieLDB2/x9k0zsXd8D8HChcLg\n/HmxbOtWscZZTzScJRVe41qIz4c+i4jPEcK+kYOQ1HcUBj4ThJm1tdi0aZOoqqoS9+Pvi3r764mh\nl4aKTymfxMwlS4TBggXC+MEDsfXbN1Gp1f7DMZKXlyesra3F169f/+Fn/6fxb5uZALi4uODn58eG\nDRt+yN7BoREmVuV47Z7FUV1joq98YGT+SJ6de8bz58/56aef2LlzJ0FBQdy/f4emTd2ws3vF48fb\n8PZ+wS+/HGfMmDHs3r2bs2fPYmZmQHz8XBIS5tKoUSCurit59OgJT2JjmbHzDcOnFnN5rpxdE5T0\nkjzk2MNdKNYUkLWlnDvfJmBtH4TC8yD7Xu/lSr9pyIpOMn3VJUYFzWRLp8O8HFvJYtVqrvYewKSw\nx9Vd4nnz0H74yiM7X+qc7ENNg5oM7j6Y1fMsifxcwWxpe1IdLuGyWceBFjsoaZ6LX8kZrgb50Km1\nB1cvKeiYH0zaMD2unpvNkKWCO5lhfM1bibGxhA4dIP36dd56evK+rIyeFhaEF2Th8MKAFCd9tAoF\nBjnV/Sd1phqZUTlqG0s0Og1SmRGenp7opHKq5Dr0BGikMhRmasplMiTGRRglaVEWfqS9l5zYD80o\nbiJHEh6GVR8rDPVltI6UkWafS/ClOOT1ajPZ8T63jX0ZZi1nj3UAWXfAuH1Xyps3JMROSadt22gi\nkzGoVzfm1AzEMC+VdbsUuJ9xJ3JSJLff30A9QbBihxW6xrsQY+By0BRGj/7Ok5A1XOkbTGFGIXkP\n87Aba0fH+ylstdtM8eIDvHRKYUv+TqSPx5C4JJ709GM0bfoIK6uBFBY+pIP+IkLC7/IyLp6B078j\n0/emrncUq8qikJ09y7YGDUhbupvO95yoVxSF17e2vNnwkqQH35g5bhiVNy5T2bs7++7eoXmrVlgV\nWvHpp0+0qNECz4ueOA+y5M0UP1qePcuGW7eoHRrK73l5PyQS9jds2bKFUaNGUf8HpmP/t/FvTSYA\nK1as4MqVKyQkJPxd2wYNQNV2PvduXqLp06aE7gqlft36dO/eHTc3N6Kjo6lbty6dOrXg6NGlnDzZ\nhsOH48jLa0+rVq1JTk4mKiqKIUOGoFR+ISKiPVVVGbRqFYm5efXMSkkDD35b85UJB7QsPiwluF0F\n/uIEGw6fJ+uGoHxHPudDVtCxyxHS6q8j4GMAAd0mUJVzDFPXswy55s/6zjt4OsmOTUVT2eM9mSVX\nAuDNGwgKQn32OomKAYTtNmVU81GcXHwSjwYqnJolUn5UD/tdTTB+p2Fv5EZe/ZSHx6ss3Oq+5Rpv\nOT5xGY2P/EzmACnfUnrTOc+Q+y5X6RFlR2SGM5MnV2/GNLx9G+mgQTwuKqKnpSVvlHKcE2yIrS/A\nXktNTTWZ6AokKAxVlNqYYajQRyet/lzI5KhlGhQ6QYmeMZYmZeRLpJhUpKKfY4Ey/SVtO0qJL61D\niWUmIvwpVn2tKH1ditRZj4zWhuReyYJJk5hhcIbjJyQcGD6Dj8UZ5IhsMqYF4bLvLG1fplBQtybB\nYWF8VqkIP7qT29JBHD2iI8nKEtdRrvT/3J9R+3qir1/O2F9tceyyC/VINecvdcXTU050og+Xu4SQ\nV5BP9uVsHKY70OHWNzZEeFAwbw/vXLJZl7YZ2ccBpM7T8D1xJe7uATg5zUOp/IosvR8xt48ib9yY\njv0OIDHaRq+x0Xzc25wOK5ZxSl+fZz8vxMjFn/m31ax3msuUmSNY1nQZH96+w+rzC3Kzv/Gtc0e8\nBgxg5dKVLGy9kNdTXxOeEs7okNGs2ziVy3Xrwv79eB86hN+5cz8UGykpKZw5c4Zffvnlvxld/8P4\nV6dGP4INGzYIb2/vH7LNz88Xvr6+IiQkRDRq1Ej07t1bfP36VahUKvHLLyuEpaWhWLjQTGRmXhAq\nlUqsXr1a2NnZiYsXLwqdTid0Op3IyDglnj2zEenpx/6cYtTqdGLDx0Sxu+NTEdjuhbC5FyosngaL\n/aGeIrmdpQjs4CYeBuqLoYNPiJAQnVgQvEA0O9JMfIzfIlassBYvo28J1z2u4uDLY8Kv7SeRbWwt\nZs9cIaoUCiEePhTi7Vuh1rcSOfL2YuyyMaJKUyXeBb8Tjibm4v41fTG8jUTk/LZWTJmoL6JrNhGd\nF2QJ80fh4sDBjqLv6GXC5/hGsf1QiaiSKcTTm+aiddPn4sPSJNFwg4P4qfVBYWgoRGysELq4OJFl\nYyNeFxYK47AwkaRUCuNHd8QdSaiwmh4tWBYtRpysLisj9LeJ+Jb9RdKRrcJ2u4XY/WyQCAkJEY8c\nRoqtnrvEA2moiDN1EU0G24hwmUJ8q9NAfB/VRHy+106oVEIYyLXiUaC7KPMwEOr0YhFmGiY+Lv8q\nlg56LG5zW+R/+S505ubCwyZHxH1SiQ6OiP41Gok38jNCp9WK+H7txDUvJ6GzsRF+z54J8/Bw8Xrw\nSNFPtlS4uwuhKtGI1x6vRdaFLKHMVuWNe1sAACAASURBVIorVndFh9U3RfMrs4R0mFQ4uDiJ3r3z\nhVfvX8WUbstFoO0N8czumUjalCSe2T4TayZ/E/IJi4Vj807CU99TvGwVLsJ77xUxHycLnU4tMjPP\nibAwUxEWZiFy8h+JAXv3CqmFhdh++qCIjOwmPn7oI/YM7yUkP/8s9H/7TWw/d07MszURQ7ylwm2O\nrbjpf0NUFlWKn9f/LKTGcmEwYaSw79dXONeqJYKDg4VOpxM3Ym8Ilz0uYtz1cSIpP0ls3LJFxKWm\n/pCvT548WSxfvvy/F1T/C/i3z0wA5s+fz9OnT4mIiPi7tlZWVvj6+uLr68u6deu4f/8+ubm5NGvW\ngCdP9nD9ej+2bEkkN7cJHTp0ICIigsjISLy9vdFqS4iNHUda2m6aNw/F0XEaEomEYo2GSb9/wH1w\nGob1DJiyrQojo0Kmhs5m9MR3vLWywHhJKtsOXuGXdZO5VPYTz1Oec6H3OJR5R5ky7w4+j+czt+08\nPq3vy4bY3mwcN4WtZ/ag2LcPmjRB59W/uuHarxY7V+xGo9IwdthYdv5ix9NnlSw17kxy7eusKdZn\nueIUEf2/0v1ZHIYGJTy2fMi+sfOwPric/C468tRNcP1Si7JRaaiLC3iQ7oezc7XIU3ZgII86daJQ\nq6WFiQkRhfG0T02mBD10Ci24VNCjrhFoteiqTDGUVlBqYYihXA+dtFqZXidTUCXTIROCQok1tgal\nJGo1mBXlQ2ptlNrv6OtDA2ctiS+GUNzLAXnce0yammDtYkTb9zJSHDJ4sDccyaBBbG16geNn9dnf\n1JN7xdGUagR5qx9Sa+9ZerzIIMOzFcevXEGl03F+wWwuGwdQnFLEnkMyPH71IGFeApJKCU0v1GPR\nfiOyy7rj1q8Tuc5ZFJePIjtrEOra+oTX+UiOYQ5pe9JwXuqM160M1pstI3/mDhKaChZ9WoZc2YaC\n2R359HYMtrYjadLkdyQSCft2D2RnHylrr1xh2YqNbDzbDAPDRrRfnEBEeysUR4+y1MSEis17sElt\nz5RXxUyxGsXSsXNY47mGj+8jsf70ityvEeSMGMrYKVPwmzSJLrZdiJkZg4u5C61Ptab/xD64OTn9\nXT+PiYnh1q1bLFny94Wl/1n4S5CJsbExq1atYvny5T9k7+npSUxMDF5eXsya5c/Qob3w8Snn5s3r\ndO16hd27T9GjRw9mz57NrVu3cHR0pKTkDe/etUQut6Bly7cYGzcCIKa8nCl73zB2cilh0/RZ5a/E\nTZbIhbKt9NuZxutORhhNyWPLnoccOtafPd/9iM2L5XD7QcRHHcCx/jUGXZ2MX7NJpB33Zf7LXhwZ\nPJTV105gPG0aTJmC6N0HbamKMw2G4b1vOo6mjszpMwevbvoYOMQjP6OPw6HuyL7l8+iRLynLLZBX\ngJtyDTtPN2dWNz9+uyZnXNxpvk+14PiRhUztq+Rk1HYGvmpFZrERM2ZUv5uqoCBKBgzgyR8lTlj+\nN+o9qyJRzwRdggRclHi5G0F2NiqJDUZVJZSa6mMoV4DEAE9Pz+oyR6pFIqBAa4+NVsMXqRyTkiJU\nX92p0M9HCA1t2kF0WEdK2hpDWBhWfa1QxikxlstI7WRAwfV8mDSJPhlnOBcgaHLwPLXN4GKNAFJ3\npyB3cye/f3dWfXwOv/7KQYmEI0KgPriD3xjLxg2CLFNTnOY5ETcpDrfe9WCihJXbzUhxWIDZYGs+\n5r+gecstPHqwCF2XVD6axZNrl0fqtlRcVrrQ9Vosq6M8yB21iKTmCua/XohcryGlM0cS9WIoJiYt\naNHiOZ06WZKXt4axtR9y+1k4t56GMfinD9jYrKXc+SCxx4bQcelSjmk0PB87Dt3oTfx8Vsorp1P0\nO9uO4oBikl8nMW/yBNTHDlLRvR0PK1V4NGrErcBbzGowi4vdL9LYrvEP+fjKlStZsmTJv/4E5z/h\nL0EmAFOnTiUhIYEnT578XVuZTIZMJqN2bSdSUi5w9+54li79Rn5+Xbp06UJwcDBv375l8uTJgCAl\nZTufPg2ibt3tuLkdQSar/g98PTuHA3Pf479by5a9cn7roqSHCOHUt+M4jo6jaqIc3QDBzkMvOX+p\nDSsivMkpz+Gk5yCehxygTsMAhlzzZ5j7MLR35+F9qy93u7ZkatgdbNu3r9Y88PdHG/udFxZTUO2r\nhWdtT24euElYbBBDp3/h7HYpi45sJiVnHzXXabnafRXJDbMZ+fo1dnZufG8ZxeYR01Ae2ERBIxWl\n1laUv+pC00VG3EwKpqxqCzqdhLFjgYICrD5/pm7//jwqLKSnhQUvipXYvjIn3ckAZZYhVEqpZ69A\npKah1lliVFpAqYkCA7kc/lPPRIcOIYF8nT32SiO+So2RabWoyuzRK5ZRUfGddj3lfPnaiKIahX+S\nSWFwITaDbSjTq4lrbn1yajdEX1XC8NqRBL5xYqOdK2dVYShVFhQeek6d3WdYk64kcWgXphw4QA09\nPYY2akjbllo6qUPw8QGnRS5olVrSD6QzbE9PDA3L8QkwQr/ZQXTDBdeC9zN58n3On95H2eBIvlel\nUFS7iJQtKbiucqX71RjmJTQmp8MwMjtaMitsDvIadVD+NIPIkAEoFFb07BmJgUFtsrMDcFIuIjb0\nAUU2NrTsvQ6p4RkySk5y6veu7L4dSFxMDGudnalxKhD3YAd6JH1nqK4XO4dtYf3Q9XyOiMLm81uy\nXz+mxH8K89euZYy3N23d2qKQ/f1p11evXvHu3TtmzZr1/yek/sfxlyETPT09Nm7cyPLly3+o221o\naMjZs/6cP/+Qli2PceTIWTp27MjYsWN59OgRtWrVoqoqi6iovuTn/06rVm+wtR0BgFYIVn9MIGnU\nFwZ90mPKCfjoqmKSOMXWkDuo5qSTNF9FXtManLgQwcZtOrxP90ArtBzq4kV+1mG8fR8zLWwFnrU8\nsfuwhnYnhxPfxJKuyXHUNjWpXoB85Aiay7dJlvbnzJpCFvRYQHZyNtPm+7N7iym3bmtYa9OVJI9g\nagQasCxjPx/9U5Gna+jffBdHH7dhVe+FXAmU8tPHfWytY8SlX+cywSWfIPk1esRLufqlE61aQY0a\nUHr7NqHNm9PYxob4igpamZryWW2JS7IDCR6g0TdAkWWERALq2EyEvBJFQQGlRjIMZDIkUgNCQ0MR\nMjlCaAAo0DjgoDIkVW6KRiZDXc8Uo29alMpY2raVEF/lSJW0FHXsa0wa66HOU+PcxYo2ETKSaybz\ncGMwTJzIQuszHD8O3gcC0NcKzlocJmX5J6ROzoixw/gYFwovX3KnrIxnJSV83L+Na3JvEmIqOXlG\ngsc5D5I3JKP8omRccF96hmip/UyfFl13UzWqit0HfVmy5DsBxw7zffhLMtKzUDZSkrqzOkMZfDuD\nFUwie8I6CjxrMv3BdNIcqwif2IeI4IHodBW0aBGOmVkHSkpeURDfm7izu2k8eTJde/kQlfoLGm0J\nXdcV8KFDHfT272d6ZSX66zeichrH6quCEw3W472uL9yFpLffWTR9Muq92ylp2wjXieMxMzP7u34t\nhGDZsmWsXbsWQ8O/vx70n4m/DJkAjBkzhqqqKgIDA3/IftCgXZSUOOPl5cVvv/3GixcvmDNnDlKp\nlIKCYN69a4mZWXuaNw/FwMAVgAK1mgm3PtB0WAY1XYwZt12N0rSStWxkzon3xB+soGx1Dl+smnM3\n5C3nLlmwInouFqYWbGjahkf3d+HW6C4jb8ykWY1mtM7dhdXmqeBciJWenFYZ6fD6Nbx6hWb+Cop0\n9VgysYJ9/vsAGN9tPPMm1Kdc+h3bywY4Hh1NZcYn8i41I2d+L7RWlYz/fJ/3Ed3Icn/A0n7j+bL/\nEDiVMmyOMa/vjmPIKnMO3tiOWVQvkMqYPr36feRfv8733r15WVJCZ3NzYkrzsNXm4FRuwLtmSnDQ\nYVdRLfWn/JKL2rAESXk5pXIdBnIpkj96Jsjk6ER1mVOodsBBo0eS3ByZTofKRYVhugJl9hsaNoRs\ntT7qjA4U97BHEhmBVW8r1AVq7HMkJHfXpySoiKqxY1G+PE9CdCXxDt1YbG3KZaPnlJY6UHbzI7W2\nHKHvx3LejOhAs3Xr6GZuzoiKCgyXzmGnbgGLFwsKDA2pvaU2sT6x6Jnr0fJiAxYdMCAtzYGunj9R\nOaiSbbu6MmuWmltXNvN84GtyP+ahbqwm41AGzkud6RP4mcXR7qS3GkKxpytrQ9bRqVtvNLM2EXFr\nBCrVNxo3vo69/TgqK9OIjmxL8M+DmHnqFNNnzGHfFQ9sbcdSVmcHCQGz6bR4McdKS7ndoQNm236l\nX4A+9pUv6Z3agXOjA1g/YT0RL9/hlvuNLcN+TMzo/v37ZGdnM3HixH8gcv45+EuRiVQqZfv27Sxe\nvJiy/zyK/F8gKysLDw8PwsLCcHNzQ6erIjFxMXFxU2nY8Ddq116PRCIH4GNZGZMPvMFvUinxfsbM\nmVGBuayEo5LljF4eT/hTMwzXx/OsdACxiU85cEIw6Epv6lnX4+AQT75EH6Vn70DGBv2Mq7krQ2RH\nyPx5BQ0s3pDeqDn9noVUCxAXFaEbMBi1zohNnRuydv0GzA3M2TNrD0rdN9qOeMOv22UsPLqbxOw1\n1F5dzi+WB3nq+RnLOBWerU9w+oMNOwavIeiOhCURm/k22Zbw0JkM0RWQ1imVcmke2YrVVFbC0KGQ\nn5mJeUgI1kOG8LiwkJ6WloTmRtPqawYF6COx0oKrEvc/7jiVJBShMylAYm1NaVUZBjIJUqkhnp6e\n1RKFOi0SQCU3xb5KSq6hJVIhkCrS0Cu0R5kbgVwOjepo+RrSh5KuVv9R6jwsxLivOYUmtXDJr0dM\nfgWqevXY0uF3jh+H5fM3UlWs5ovVfZKmPUdia0vJVF9Sn99BV1bKzfh4ctVqdo8fyxjbJ9St+oK/\nP9SY4oC+oz7J65Op61UH2WQZK3YY81reh8bdOlHaupTL17rh5WVD9PuJXPN6R154Hlo3LdkB2dT8\nuSb9g6KZU9ybzC6+aAc2x++aHwpPc3RztxN53Y+SkjfUq7ebWrXWoNMp+fDBk1+66vNrSAhnrlxh\n+JwwXF0DSMhZyK+P/Nhz5zYJERFMF4L2gbeoymrNioeVLKs3nRkzfLm1+xbhV8NxtXH8u76sUqlY\nsGABW7ZsQS6X/3fD6H8NfykyAfDy8qJLly4sW7bsh+zbtWvH5MmTyc3NpaIikcjIziiVcbRuHYmF\nheefdhezsji4KIJZO3Sc2m3A/p5K6kq+E6BbTw+fRG7m18VpcyQ3omegk1/nl20leP3ag7Y127K6\nWQOys47Sp18oE08uRJuuZZr9aULGHWCw3m/c7z+GyZdPw9OnYGMDffqgK1dz3dWHVrt70sS+CZ/C\nP7Hx2HrWb1Zz8aKOrc7dSGnxGuvXxpyKX4JYLUdfT8bI1F+5e98bbZO3TOs6hMcHLmFklENhZxVn\nTkxn4hwFJ1/uYcI7c0K+tKZfPzA1heSbN7lqY0MPd3ceFRbSUU+PZ4U51His5ZueCUapOnCpoKtr\nNZmo0pQI01KwsaGksgQDqQTZ3zITuQKpRgMy0CoMsVYJJGYmlMjlGJQnIsurhbLiCwBtOkn49LQV\nxbWVEBaGZW9L8h/nc0t3kWZvZSQ5JfDpSCTtfv6ZYcVnOHcOxLQ5jDaXsc7qN4pynal48Q3ntbvp\n9VXD4/4emK9cyQI7O1anpyNOHeKefCCvnmu5fl1CgxMNyDyZSfGLYgbt7I6RSQU+AXoku67EsocN\nyUbJZOX4Ym3dAnVZM057RpL7JBfhICi4XYBkjATF9UMsKOpPWv9FiOHt8Lnog7yvMSzaQdTlhRQU\n3Kdmzdm4u59DIoHY2PF0tQwl8vlzEtRqmvVegLn1DfIL79Nzu4Kozi3Q37EDn/x8DGbNonjUSmad\nlpNpFYjaPhUTE5Mf8uU1a9bQuHFjhg4d+uMB80/EX45MAPbu3cvNmzcJDQ39IfuWLVtiYBBFRER7\n7O0n0LhxEAqFDQAaIVjy8Stp478y+q0+c0/ICK1bQReecUx5imZDY7hg2wSPjS84cXczHk32M3Ve\nFt0DPOlXvx8zatly5swOGjd5hP+9FVg0tGBj96ucGXSdeWITeycuZNWhDdU3QVu3Bj8/tAnpRJhM\n590mFROaT6BSVYn3QG92LG5FRmEabrcMcDwxk8LMO5juUfCy/1zeuKbR7EMprZrd5rfsAg6N3Ezw\nI1jzagXfJ9jyNX483YqqsPM340pcIJaSLRgZSZg8ufod2H74gHrAANQ6HYUaDQXv3/PyUwZ2EY5k\nuhhS8iwFbHPpXveP6ddsDVLzCrC1pbSqFAOZQCY3JjQ0FIlMjkSjRSqXItE3wFKpQZjokSeXY5Kf\ngkhrQHJhOhUVFbTrJudrthsnAuMpfhmOnrUM47rGLJm8hAZxEpL76lF+uwxGjMD440u6u6UTeEPC\nnn6+ZKSWUGT6mqRxwWBuTsXPs1HdCUJTuxZbHj7EWCZjgq0t1kO7MkNzgBkzoFShR/0j9fni+wWd\nUof3vT70CFHT8Kkap9ZH0Q3Q8TT6Mc1b7CEpaSQ1HSSc7hpB5tMsdHo6jGKM8J/hz7AHn/n5S0O+\nmzdAMrwj434dh3SAPpKVm4k+t4Ps7IvY2AyiWbNHSCT6JCVtQC9vDck3A3EYMIAWnQeSnL8aA4M6\nlDfYRcqlTXRZtIgT+fkct7OjTdAjWiR3ZNmyrT/kw69evSIgIIBDhw79o+Hyz8O/etDlv4vbt2+L\nOnXqiNLS0h+yVyoTRV7ea1FeXv7nZzmVlWLE7+/E5XpPxS3vCGH1JExYhIWIheGTxbdLfUW2kak4\n2KuleHxDIfr3vSCuXxciuShZ1NtfT2wK2ySSk7eJsLC6IiU1Uky6OUn0DOgp4hIrxCi7xyLHxEp4\nL90vNDKZEBs2VP/BXbuE2tBafNcfIwatHSRUapUQQohZPWeJ4Y1biodBUtHfRS4qfz0tXr2oKzL7\n24jB5iGiYXCkMH0SLrZt7y9GjVsqXFb1EEIIMWHAXaE2QIQ9thAN6nwRT0fEiVPvTohBkwxE2yZl\nwsxMiKoqIYROJ/Jr1hSHg4PFmcxMMfrzZ5GpUgmTJ7fEKaMHov+QRCGveUNw4YaoUlcP6a01HCwu\ndP5JiJEjxcw7M0WPRTXEzmf7REhIiAhut0KMrT9EBBkFiSV290WGg7XArYm4qG8gMmo6i1jrrWLL\napnIyYkTMTFCOBurxIsHDUVx31pCRESIxBWJInFFonjaP0L4LX0obnNbpESnCDF1qvg4bovw9BRC\nlJaKrjUQLZu4inB+F5VxmUKUl4t8K0NxbfUIIezsRFBCgpCGhIjopCShMrcTtU2yxYQJ1a86dlKs\n+DLtixBCiG+PvolAs2DhdPymGBpyXCgWK4Sprak4cuS2cHBQilWrJ4rhnovETcub4n3X9yLGL0Yk\nLE0Qb1u+FXNnZQqjAy9EoymzhIvCRYT7hYtwm1ARvnWwSEs7KIQQoqIiSbx+7SFevHASHz/2F5VV\nxWL8uXNCamkplu3aJTIzL4hnz2xEZkaA2Nunj8DXV8i9vUWVRvNDvltRUSHc3d3F5cuXf8j+X4W/\nZGYCMGDAADp37vzD5Y6hYR202lrcvHkTgPelpfgdfYv/pHKKfCzwnVmGkKv5hQ0seJWOeup77vWz\npcGsaNbuusPipeNo6plA1zNdmdVmFhNcZWRmnqBNm1C2RZ3ka/5XTnkFsajHFw6Vj2LOzNWM27OI\nCC8vWLUKHj9Gu2o9JbpaLByu4uC8g+jL9bl3+h5Xwy4y55c0Tp0S7HbzJK1DPCbfZUS+G4DZshYU\nmigZ+C4HZ6dobopITo/fwtOngvXPFpI8zIrcwh7Uybai+dIanAjdxeDvbfmcaMy4caBQgIiKogxo\n3779n/2Sp3lfaFj1hZoVekS2VqKxaIeswgmFvFoPY6i6I652xtWZSWUpzu76mJpb4+npiUSuwNHA\nBmN9Y+QKfYzLK5E1taJAq8O0qIDSEkf6OClQKDJwc4NCjQJlXEdKvBzhafVofcH9AuqNqIH7GwVJ\nTrE8Wf8AJk2iydszxEQLvmaYcKBBByITktHpx5I88ncwMkK7fBkWl39H1acng0+epLGxMcOystDf\ns5Ub8pHcuiV48ADq7a1H4YNC8m/nU7tnbQyn67F8pwGPS2syqMssKkZWsHTFOHbuTOHQwfUo7EO5\n2yKC5IRkyqPLEWqBeWdzJr7P4KekliS3m4rZ1OF4X/BG018g2buIpBOvSEpaj75+ta6NoaEb5eWf\n+RDZkZOjPNkXHMyOgwcZv/geDRs+IDllI/321+Vz9y4sqqxE8YOrO/9W3owePfq/FSv/LPxlyQT+\n8XLHzs6OcePGEZCZyaHlkSzYLLi9y4S1vcowlSg5JFnI+F9VxG9KJNpbh713Dis2vWT/AS9sG0bj\nedaTlV1WMrSGkm3bdtCsWQi/hO/ndfprLg+5w899cziW35dFU+Zz9PQmBrVqRZu7d+H7d8TwEWi0\nhuxr2YEZG2bhYu5CfmY+k2ZM4sTWNnz9nkO7x4bUPLGczNSjOK3IZ0eN7dzr+BlliY5u5ps59dsk\n3DyM6enelgMHX+FaGkv2JAX7di1gfJ08UlxTSC1MJt14G3p61TuhAPICAwnu3JlmJiZ/kklYfhIN\nInPIkRhQWr8MnASWJX8sbSoro0priYl+1Z9ljrUlGBtV65BK5DIsJAYYGhiikOtjVF6B1LqQzxo1\nhkoluDhhmFhFecknZDJo6q4jOrgbxR46CKsWS1IlqjBvZ0bLt5AyVIHqngo6dEAilbCm90uOH4em\nx89S3xR2Nb1Gzid7NNnF2M5dRrNiAy7VKoPjxwkyMyOhooKzffvi7i6hj+p3Jk8GlVSOe4A7cdPi\nqMqtos/WbpiYqZhwVs4D4yG0atMZpZeSxct6sGePGaGhD3Hp/ZmXrp9JLUmlILgAPXs9jJsaM/59\nLNPiGvI1W2A13ZtxF8eh6lmF5PR0Mg7lkpDwMzKZKU2b3sPSsicaTREREW2Z6C4h7PlzXqWk0KTX\nVGo43qKqKgPTHnls+cETyb9EefMH/tJkYmlpybFjx5gyZcoPn+5ohSBvRzrjnslZd0rBzfoVOJPG\nSckyeq9R8ziwiqop6Ui6yVi99QOXLrdAZx9Br/O92NZrG71t8sjODmDr1rdse3WK+wn3CRp1n3kj\nqtiT3Ivto8exMfg3LIyNISQElEro04dX5Wou2k1Ab2MNvOp6IYTAt5sv3l2bY1jnIb/vUTDn2FG+\n5q/A9aoF6wu34rCmEmOFlLFvvyB08MT+DgETN/L6tWBN2M9k9DSnTNSjLLYZvZZbceL5fvze6Tj1\nsQ0mJtUrcAE0QUGU9u/Pl4oK9KRS6hgY8Kq0ErNgGd/0TKlRBLgoqauo7peQno5Kaou5rgRsbCit\nLMVYpkFPZlRN3AoFejoNEgMpxjIpWpkcU4N8MuRGVMnl6LsoMcyzQJn5BoB2XaV8ft6EEpNkCAtD\nKpdg0dOC0ohS5E2MyHBoiFOpK0kfk8HPj/Hq6kZspasb2yxqcjv+LQpZKqmjAkFPD/n6jTQ4f4+S\nyeOptWkT4+ztmRMfj+TkYc4qpoJSyapVYNHVAnsfe75O+woSGHO/Lz2eamj2pIIc+wWYGJhS5FbE\n0eP9mD/fmIBTOxE9E4jWjyfTOJPMk5mYtDDBwFkf389fmOGyiaQmPtjPm8L4K+Mp6VCG9OZY8vaa\nExPjA0ho0OAUNWvOQAgtHz96UV/+im/BwSjatsWtRSdefxiBk9OCH/JVlUrFpEmT2L9/P3Z2dv9Y\ncPwL8JcmE/jHyx2ZRMKcFU3x63CRr0ZltJO85ZA4QJtJOQTEuFBz7gdy6jux48hnbt+pS7biJf0u\n9ONw/8N0NP1GdnYAzZuHcDTqGhc/X+T+uIcsn6LPqk99uOjVGb/vn3HOTIf370FPD8aPR5uWizCc\nxqVJn1jevfpKwJElR0hMj2HY7NccPCDY37Q7Wd2KkGTno7rhQMZIH27bJkEOdK23iePXhtLerSGt\nXBqydX8sDXPekTnXikvnFzBSkobpEFMufPqNVvKfKSuX/XlDmMxMjL9/x713bx4XFtLL0hK1EMSq\nzXD44kaOiwF8FOBaQTuHPyZcU9LR6kwxrSz+MzMxkmrQl/9x6iCXo9DqkBhKMEJQrm+CuS6fdKk5\nQiJBY5+LXqkzypJPALTpICVB64xWp0blagSxsX9Ow9YZYY/LKz2SnD8RsuEh+Ppi/uAabRuVExgI\nQ3cfw1IK59s9ICvcBF25Cosps6ijM+dXeQw8fMiJsjK0wBy5HIOfZ3CQWZw5Uz3OU3t9bSq+VZAd\nkI2+tT5trzZm4QEpVfHltJ9wHF03HXHKOOLiZtCtmxPPH/vztUM2SQWpFDYoJHlDMlb9rJCbypj6\n/TuT4xqSWHckjotn4HvDl7zGBcjCBlK6owWfPg1Bp6vA1XUV9ertASR8/epPZc4B4g4epNeiRTRp\n3x6p9O8vHoe/TnnzN/zlyQT+8XJHz0aPq1s24GNwl02VIbgN/sx2VVfaLX3AZ8N2nAv8wL17tsQo\nQxhyaQgBQwNoaRTNjh378fAI5uTHGxx9f5SHPo/YusyKKWHDeNfSkVYGhjR7/rRaedzaGrZsQfv4\nOem6XqyZ8pmLyy8ilUj5+OIjK3at4Oih+kRGFNP3tRGOJzeT9H0tdZbmM1V1hOyJ8RjLZIx4H0ZS\nkgcf3H8lYNJaoqJg8dM5FLQwQmkq59Gtfoyea8CNhEBaZUq4L5mLWg3jx1d/1/KgIO63bUt3W9tq\nyQELC94X5+Ao0nEucSW1sZTiCAW4KOla64+TnC+Z6BSVmBQW/JmZmMqq0PtDzwSFAoVOi8RIirEQ\nlCnMsKrUkiqxRKHRoDbMRpJfH6UuCagW8Y7TmqJf0oqSQXWq5036WFHwoADbwTZ0fikhbbgC9QM1\nODpChw6sbhzI8ePAgAEsNjTiaLfFewAAIABJREFUeModFJIi0n0CQSbDeNtuOp8LJXvBdAyWLWNn\n7dqcyswkbeEC+puG00gdwcSJoJFI8TjvQeLiRMoSytDz0MN0piErDlvwUmnMxJ5HKBtYRtCTmzRq\ndBxj4zaU5zbhQYtSMqIyqexeScK8BOwn2oNO4J/2Fd9Yd2I+5+GyagGT7k4iwzUTxZfuqDYM5UNE\nb9TqQuztx9O48Q1AQnr6AZK/zePOsmW0rVfvh3z0r1Te/A3/J8jkb+XOxIkTycnJ+aFnOlhYsN5x\nJLaDn7LGcjD911whtGA4T9+G8vvvRjzPvseYa2O4Ouoq7vK3ZGdfYM+eKK4lPGHb82088nnE6T2O\neF73o9i1Alp2oc/Fk9Vj8h4ecPcuus3bKdU6s7KvnG1Lt2FpaIlarWZs/7H06+ROpeljHh1WMO3Y\nUeKL1uP4xonf8/1puqY2MfISaqdJ6dJiFyfvd6CPW2/q29Zi7f4U2qc/JW2xC6FP5jO0KhPnnxw5\n8XQPfrGWXHzqSN261WLnAEWBgSR7eaGQSqv1Xi0tCcmNoW7xN2pUyIhpraL4uynYq+jRoHqOpCIu\nH5VRBXr5+X9mJsYyNQby6p6KRC5HodWCkQwDLRTLzKipMidXUn3pTFaehDqnAWpZGVptGXXrQrmQ\nUfi+PSUtFBAWhoGLAQpbBdpiLXq2ClLqNcWx3Jn4N/EwaRJtPp8hNrZ6G8TCn1YgKdIR2u4dGUEg\nNFpMxvhga1qDSxnBkJHBT1FROOnrM+LbN/ROHuG23ghKCzVs2QImTU1wWerCxeEXKSoooufmLphb\nVDIuQMavqlqM7TCX0hGlrN24ktmzXxAT400d+xLOtSgj+1420lFS4ibF4bzQGU2hhllF3/Gvu494\nu/7UWruMKQ+n8s3sG/qFbdGsmUnk2+5UVmZgYdGNZs2e8vBhJcbGzX/YnwsLC/Hx8eHAgQN/ifLm\nb/g/QSZQXe74+voyYsQIqv6zpuZ/AUPXDozpPgNd5/Nci1xARv5lfvtNzp1vgfgF+fH72N+xVT4g\nLe0CzZuHcCP+KSufrOShz0PuXayN3aHF1LD4xNvh05mycwUcOAC9e8PXrwjvsWi0Bpz16I/n6l60\ndGgJwLIRy7AzMGbGks/s3AGHW3lS4GVARd4HrHYUcdp5Nb+3jqZKp6Nb9BWev+hPUusTnPZbSVwc\nTAmZR5mrnLKa+Rza54PPYDVJ8iRic2OROu7EyEjCnzury8uxfPEC20GDeF9aipO+PvZ6erwszqfm\nsxwyJYakuRdRZWSOJNcAS5Nqdyj7XoLSQoMkL+/PoTUzaSWG8r/1TOQodFowkWKgExRILHDRmKLT\nM6NYXx+DnARKC2tilGuAUhmHRAItGuv4dK8dxTY51btZhfjzVMdluD3WL/RJdokkbEMIDB6M9FMU\n84d+58QJkC9dygQTKZtLzyHRqcma/TtIJFjuOsyAC29JXDQFyZIlXHFz431pKXdbtMC8bwd+rtrG\nrl06oqPBab4TrS1bY3THCIlEwqi7/egRpqF5SAUPTIfSrklnKoZWMHnqSA4fzuTatbV4tX/Fsfb5\nZJ3PwmiyEdGjo6m9qTaq7xXMrkjEJ64RX027U2v1EmY8nUGMJgYjRRPEyrVEvOxBRUUC+vr1mTAh\nDEfHKT/kkxqNhjFjxjBo0CBGjRr1j4bBvxT/Z8gEYN26dVhbWzN79uwflr57GLQVe9erWNnt4OBB\nCRejf2XW3VkETwimhuY+V6+epU6dQO59e828+/MInhDMxycNyFq1C0/FDU5MX8/6XyZV75H96Sco\nKYG+fdFVCZ5azSd2WS5TWlU70pNLTzh7+yzbDhnzLESJd7QRDqf2sWLlZGpt1jJbdZCma0uRS6Fn\nopT2rQI497omo9x9cDCzZ/XeHPp+u03yEjfi4n6ih66UBgsdOPn6CBMjdZzLHkRpKXh7V3837cOH\nvHV3x6tOnT/7JQBvlfoYPTTmm74pLqY6cJZgWmD05zupSFOhtAHy8hDW1pRVlWEqV2Moq7aRyP9G\nJjL0NFCABU5aQyRGVuQqFJhmpVGUUwPDb2qUylgA2naTERPlRrk2Aa1cC9+//0kmNYba0uO5lKzR\nCsQTAfr6MHYs/noB1Y1YrZydnqMoTlSR1OIr6aeKETodBv0HYehch6DXAWBrS9vAQLwsLZkYFwd7\ndjFP7MWgcj0+PsXokOAR4EHq9lTKosrQs9aj3fUmLNwvRRFdhLzhBmwb2lLZpZIZM/ty/ryaPXtO\nM7zvHY53SyL1cBqWUy2JHhZN/YP1KY8sY57kO6OiXYn9Wkm97RuY/WoOETkRmNVsgHTpHiLC+6LV\nZlCnToMf9uHFixcjkUjYvn37Dz/z74L/U2QilUo5f/48L168+GFVe4Dla0fwyy9w9M0Rlj9ezhPf\nJ1iobpKTc5XlyyP4pEzF/5Y/d8bdISuqCY/8LzBN7GDJ/D2cXjGmOhvZswd0Ohgzhv/X3nkHNlWu\nf/xzstMkTSdtaWmBUqBllVK2IFNlFUSGVGSIoHJFwa1cBRmCC2Q6kCGIoCgIuAGh7F12SwuldFC6\nmzRNs8/vj5RAvT8Vrnhd+fzT9vSsJO/55nmf9xnOIgNp0sd4feI23hn0DgAVJRWMGj2Kxf8eSplt\nD0dWKnjovfe4ZF7As92bkHehHYoH+rBad5ESq4NWuUvY9OUYyjqt4N2Rz5KdDUkpz2MLEKlonstr\nMx5jRHQpqgQVHx1bwWDxbnYeUNOpE4SEuF9X8RdfcLhbN8KVSs+ScE51NVaXi4griZREqdGlA5Fm\n6onXxcRe7MJZxwU+PpglThRSBS5BiY9M5o4zkcuQOZ2IvhJkTpFiZwDhTgWCzpcciQTfoiKEkBB8\nssFcmgpA23YCF9RBqJxxVN4bC7t349fFD9MpE8qGSnQ2gYutEgitrkvanjQYO5aALato1cLFxo3g\nt3gJPfzgJe0KHA4lpTO3gyBQZ/4HDPsindQnhsK0aayLjMTgcPCqxYJi7kz2+W3j6lVfliwBVX0V\n0W9FkzYyDZfVRb076xHwhIYX50k5lWciqedqxESRsjplzH9nOEuXypkz5xOS+mxjda/TXFx8kcBR\ngZy99yxNVjWhYmcFLwUaGRswlQx5FxrPe43JqVPYm7aXvb7nUH/7LkplvZsehytXruTrr79m/fr1\nf8rcm1/jbyUmADqdji1btjBz5sybqn0C7lUPURTZ/uN25sXOw1W0mtTUT4iP38mBK+mM3DSSTcM3\n4cpvw3tDfmCW60keenYBX8x9CCEmBra4zW6mTcN54BgFrm5MST7OBxM/QC13+yHGdR9Hj5jW1G3/\nEa+9LrC0fTeM/SIpubqRes9eZIJ5AVWjL6I5fpw7t6QSF7eDzy45mNByMv5qP6a9U8nw9PVcntyM\nktL7ibKo6PBcMFvObyG2VOBI6AwCAq7HluBy4fPdd8gHDqTa6eRwZSVd9XpSSjKIdZ2nXnU4hS2k\nWI/ZIaqahECN5/1wVkiRBjvczldbJTqFFhsqVDUNoQS5DJnLictXiswuUuQIJtwpxaVVkeZwoDMY\nUEerUFXVparEXR2vbVtIt2mQX43H2NHXvUSskqC/Q4/hRwOhg4JR7lFxuf4R9s5Ocbdi1OuZescu\ntyM2MJBFkQlkHbmKpfFlcua6+ynJu3aDuGbs/OJtxO7dMc+cSe+9e5mbk0P52LE0iHLRt/IzXnkF\nLl+GkFEhqGPUXHr5EgBdZ3TGP9DB/WtgbYmEp3svw9jDSOrlVFJTp/L443oWL15ChztOsrH7UdKX\npeM/0J+0+9OI2xBHyaZing3KZcT5ZqSV1Sf69Rk8f/Z59AF6Wr/ZC0G4uUds//79PP/882zZsgX/\nGgvyr8bfTkwAGjZsyLp160hOTiYrK+umjhEEgS9e/IKurR3s2/cpbdtu4nhRFkM3DOXTIZ8SaO7M\nv/sc4wPHCEZPeY3PV09DIZPBgQPuLNqNGxEXLKLKUZfXuwYz+dnJNPRvCMDyacs5mnaEJ+Ze5fut\nVh7J8iF0xfucz3iERhtCWSr8m/6zgthuK0Zo0Y47wzexeu2jODt+zltDJ5GfD/G7poPSRmm3POa/\n8SRDXLkE3xfMB3veYfwxkQ8Pt6Ciwp0hDMDhw1zV67kjPp79RiMtNBp8ZTL2lF0m7Eo2wWYJmW0t\nlBxXQKSZTvVqLBOnE5dFg6oOnuhXnUKDFSVqicSdm1PjM3HpJUgcIldtYe5kvwALaRYLDokETYQZ\neVU0ZksGAJGR4JRIKNyTiCHC4PabgGeqE3ZvML33SygbIUeSInGL89ixdLlw3RHb9P3lxPrC1LhP\nsVgCqFh2AIDQ+ct4YGsOu5I7E/7RR2wZOxa9TMaI9HRkH77PYskk/OWVTJgAINDk/SYUflxIRUoF\ngiAw+Ku76bHHSYtdVpZUR/JwhymUDShj+cfLiYz8hHbtIvlq6ySCYw3saHOUc1+cQ9dBx/mx52m+\ntTmFq6/yYlQ+915uw/mLaoasX8sDyx5AkN1cd73c3FyGDh3KqlWraNq06U0d82fkbykmAN27d+fl\nl18mKSmJyl/pNH8jwcH3MXbsETINRQxcP5BVg1bRWN6DR3peYI21H4/+6zlW7Psc32ttA3U6OHMG\nxozB4VDyZYMH8Hs2mH6N+wGQdTqLZ2c9y8r37qOg+DgZ61Q88O675Ng+Ql2mhk3wTfQkvoo/i1Yq\nZdjRKwQH5/FNdTbPtH2JN197kxkLq3nszAfkjI/DYutCSWZ9+j6p5XLVZY4XHCe20UtczpGQlATX\nElDLNm7k286dSdBq2X6Dv+SQyY722yLyJD5kNSqjPEsPkWZ6Na4Rk6IiqiXB+KurPZaJVuGDBQXq\nWpaJA4deguAQuWoLx7fKjiygjFxRwC6T4QooAUMsFmkRouhAEKBNgsiJr+Ixuk4jVpRDfr5HTPRd\n9YTkiKR3TCTYGsKp7afggQeQfr2VR0YYWLYMiI/nLU0IB3eeQBGeS86zJwBYfuw4V9omcPLDmYgP\njUU6fTqrmjZlW3k5h+vXRzlhNB8oHuf0aVizBuRBcposa0L66HQcRgeKQAUdNrbimQXgc8bIPr97\n6djkDoyDjUx68nEefvg4gtCenEutKA7VcSTiJGkH01DWU3LxiYu0+K4F+Yvy6SrbyhN+HXjjrrtR\n+95c4SKz2cygQYOYPHkyffv2velx+mfkbysmABMnTqRz586MHDkS17WG0T9DVVUVP/74IxKJArk8\nkDfXvcnMhJm0D+hLco+rrK3qzSsPjmZ6WQ5hu3e6o1vr1YOyMujbF6dd4JD2BTY8vpvp3acD4HQ6\nub/X/fzrriFI6i5h5lyBJR27Uj0ogfzcBUQ/nceDpg/o/moF5U4HIVUqmgVO48OPxqFM2MMrSeOZ\nOHEagbveRi5WkdXHwOqVk7i3OofwR+qy/NgyRp4W+Ez2MBoNPPjg9dfj2rKFqn79kAiCx19S7XSS\nYdfiezCCLIUOvxAnNnUwmGVEh9TM0fPzsRJEoLTKY5lo5SosKFFJJG6ficI9zXH6SxHtLsoFfzRG\nCzJ9EYVKLRJRxKK8gtlcH4VJSXW12zps10VCekldJGipHpAAe/agjlEjKAQsmRYC+gRg3+VDbsMD\nHJy7D4KDoUcP/hX0mdsRa4U+M98mUALTO27FaKhL1ZZTPPLII8QvWc3o7SVs7lkPvvySflevkqDT\nMezsWZg2je6SFJoYDvHUU+6m9oH9Agm4J4ALT7pbqIR3DSdoio6X5sOVHCP1El6nToM62PvbGTps\nIEuWlJCa+gChASUc8G9AmphBVmEWIiLZL2fTcltLEh1tmPVqHH4+Enbv3o3BYPjFMSeKIg899BBx\ncXE888wz/90g/xPxtxYTQRBYtGgR5eXlTJ069Rf3LS0tpVmzZp6/v5n1DQ92nMCwe4x8WH43H/bt\nwdCQMJqtet/dvb59e3dn9CFDcBqqyZBM4LmxG1j54EqkEncC17QHpuGqcjDwiX1s+sTJs1c11Fm5\ngvMZjxB1NI4DjsE0GdeWRfIMjE4nPQ4cpapKxx6/fczsMQOFVMFrC228eGI+eUOaUmEK4ssvzAwb\n5EISLGHl4fd5yNiUVVsDsVqhd++am8/KQlJSQrNu3ahwOEg3m+ng68vhiiKixGyiTJ2pqO9DVJUA\nUQLqYnepRnBHv7pcGgKdlR7LxEeuwoYSSc1OkhqfiV0vASdYfRQoK8xIdKVckfihtNlwWvMxlofi\nkyt4VnQSEwUuaP1Qmdtg7BYMu3cjCILbOvm+jPB769D7oBTTAwrke+XuFbmxY6nz9UpatoSNG4Hk\nZB6SKPh+9058A3LInrDX/Vk3bUp1n97kz5+O84Xn4bnn+LxZM/KsVpYaDMjeXcxGzYNo1Q6eeML9\nWqPfisawx0DxxmIAOk/vSFAdJ8PWuvim0MSj96yDJuBq42L06CQ2bnTxySczufuOr9gY1Ijs7MsU\nagsxXTZh3G+k5YctPY3DmzdvTklJyS+OuVmzZnHp0iWWLVv2hzYcv138rcUE3LVjv/jiCzZt2sTr\nr7/+s/tFRkYScm0ZpAaVCp5qup7FkVoiOt5Dz5nPwPTpMHy4e4cXXsB1Ko1CV2deuDeD+ZPmE+Tj\nrpOyb8s+lny2hPfX3knOpXSKtqgYunQpBeLXuCrLCHotkydNr8HobEIVCu406mndZAYfrhtCQOwl\nJnW7n/JyMO1cgcZWTsnjCtLTpjJM2YoGk+vyTeY3+Oy3cqr+E0gkkJzsdt0AVG/ezNYOHegVGMiu\nigo6+vqilEjYVZJGtCWLeuYQSlpJkZ22Q6SZUNv1lRxbeiFOpQU/QzkEB2O0GlHLFNgFt9m+a9eu\nGsvEjl0nAQFcGjUKQxUudSmVoj9OqRRZYRYV+cH4nK/GbDoHuJ2waVU+CBeaY2hk/Q+/ScA9ATQ8\n6eRstw4E2IM4/vVx6NMHW1YW9VRPuR2xgsDscZORm0U+fSCD8sJ6WA67nal133yXB/dXsbaJDdLT\nidq3jzFhYTx78SLmPn3wu6MFzzjmsnOnO7ZQqpXSdE1TMidmYrtqQxAEBm69m+77HMSmWHizCGb2\nXU5FuwqKlEXMnTueDRvkvPXWGibcv5iPGoTz3Q/fcemuS4SMrD12AgICiI6O/tnxtmjRIlatWsWm\nTZtQqVS/PIj/IvztxQQgODiYHTt2sGzZMhYsWODZbjabWbly5c8eJwjQb80EEl96jfueSoYRI9zl\nBADWrkVcsRKzvQ7L2jbj7ifvpn2EO7POZDSRPDyZtx6bRKVsMTPfkLCoc1es93XnUtZLNJ7rZLrq\nbca/7sMa4xVyrVaaHPyStLRETsdsYv6A2UglUt5e6mRO6kwKuzXEKjUx/60khseU49vWl2X7F/NC\nmZNvDENwOt3h8+np6YiiiHHjRrLvuguNVOqZ4gDsN5Tje/4S/tWQ085G5TErRFbTXHddTCyZ5Zg1\nFrTl5Z5pjkomx4ny+vtSY5nYVIAEFL4KFJUmbLIS7HZ/KtRqfLKzEDQafMp8MRcfBdyR8gqVQO4P\nrTHKMyA3F0pK8Ovuh/GgEUEqoOusp3yPhkMRm9g7JwVkMhSjRvFBU7nHESt99VXGqgUW7/gQnc9l\nskd8776xqCgswwZjeWM21lmvwrPPsjg6GgnwSEYGwsIFPGp5hyBzDo8+CgYD6DvqCRsfxvmHzyOK\nIooABZ02JfD0AhHd2UoWmCP5V/unKOpZRMqRFA4ceJMFC5TMnLmJSaPmEzFrLEP/PRRB8vOWxZo1\nazAajZ6/P/jgA9566y1+/PFH6tb99XKNfxX+EWICEB4ezo4dO5g/fz7vvfce4LZakpKSfvXYUffd\nif+XX8JHH7k3HDsGEyfitEnZFvoIFyfm8ljiY579J/ScQHxgc1r0X83qZS6mV2gIWrmSCxenEJbf\nirIL4Rxvmsx3Lc4TpVRy/1U/2iW8w+qtXQlv4GRkW3fw2bltnxNovkrxy+Gkpz9FV42Rlk+HkmfM\nY1/OXvrFjGLLNxo0GmjXDs6cOYOjuBjf1FRC77mHqqoqj/NVFEWOVqtgYxE5gpacRmUUHFVAlJl2\nodfFpCq7EpO/C2lN9GulrRKVTIZDcH97duvWDYlCjkx0YPVxP0A6rYhLKkVvl2B3+VOsUqHLz0fd\nSI3SVh9z5VnP+RPbQuq2Rlis2Ti6t4U9e5DpZMgT5OR+k0vEvXXosV+KsZcDzWGtZ6ojX/cxD41y\nuB2xKhVzO/anKsvCkfFGSrLCsV0oBKDO7HcYcdzOCsVZUCpRrVvHwkaNWFdYSGZAALLpL7PFfxRq\ntci13NCoV6KwFlgpWFYAQNgdYYQ87cfUeS7MOVWcqzOMOxrdQVFSEW/OexOX62MGD85Hq13GlInN\nkUh++THq37+/x/pYvXo1M2bMYMeOHURFRf3q2Psr8Y8RE4CoqCh27NjB7NmzWbFiBTKZjMDAwJs7\nuF8/kEj4cN48cvv2xeUQOK54iTcf+ph3k971zHk/efMTUo6n8Nqa+mSdzcXxow8DlyyhVH4UU8Uh\nIp5MZVjxUobMquBslYkSu4PgM++xY8cQLrVbzntDX0MQBBa/72JB6lTKmoVTqUxj5rRR3OvMJei+\nIFamrmB4poLvI5+lTh0YNcptRQ0ZMgTp9u2kxMfTLSiIdz78kCKbjXitlrSKCgRLBSHZ7clSaKnQ\nmynNDoRIM92jr8eYWK7YMNWRQkmJJy9HKZXiEq6b4hKFDOk1y0SEAJWDarWO+o4AUAWRI5fjW1qK\nOlqNzNKUKvGyJyK5bScJFxQBSO2tyLmjjmeqk9YwjctfXyYwKZAWB1xYxycTJAZxeONhd65TvXo8\n3vgHPvoILBbQLVnKXb4w88QCtIoccoZudt9caCjWcWPQvjGfytemwdSpjPXzo4FazZCzZ+Hxx2kQ\nWEmfinVs2OC+vETuTga8NPUS1ReqAejwSnuCw0SGr7Nz8qqJtu3nUSesDtX3VvPvV/7N9Ol1GTy4\n8U0NHX9/fxQKBevXr+eFF15g27ZtNLrJhL+/Ev8oMQGIjo5m+/btTJs2jffff/+Wjx+XnExovcZk\nCuOYkryBVQ+vQqNwP4y5mblMenESy99+jiLTB7w2X8aCO7rgGDaAjIyJNN4QyZagSfSYGMMb4nmU\nUikPZihJaL2ez/Y2pHHdcPo160Z1NWz/bjsRxksUvd6csrLHCHEJ3DnJD2Sw/OC7jM/yZ9XeaMrL\nr2cIA5Ru3Mihbt1oEhBA5PDhdPf3RyIIfH8plaBdX9LQ3hFjAw1Nqs3YZJWgctG+4fWUeHupiDlC\nBcXFnoxhlVTiEZNdu3YhUciQiQ4sagFc4K92UaXSUd+lR6INIdPhQGq341PPicPeGIkdsrKOc+bM\nGRITIVPpS8bBUDKDqz1iMnTyUFT7VCjDlKib+pBz0JcrMXs4Pu+I+8bGjqXu9ytp1Qo2bQIiIlgU\nGkfuoSIKxygoPFEHZ7F7KhE0bS6D0gWW5XwJbdsiLFzIhmbNOFNVxYbSUiTL3uct11P4YmTcOKiu\nBk2chqiXo0gblYboEBEEgQGb76L7fheN9lTxfoGRaUmf06hVI7Yf2n7LnfRWr17NU089xffff09s\nbOwtj7u/Av84MQFo0qQJu3btYs6cObV8KDeDEBqKdPcOvnutHvd2u5cItbsvrMvlYkT3EYxMGIZf\nkzm8t0jkjSo1/suXk335FfxNjVF+XsBU0wtoRuWhlcnwR4H+6mts2PAIRXcuZcXI1wD4YLnI0lPP\nYgoLolR/gLfffIxBhsvUnVCXbRe3EWiwE9TjRY4dE4iJgZiYmpuz29Fs345ywAAAT8kBgJOSKuIT\nA6hrCsDQSkZIpQAhNuRXfZDJBE6fPs3nn3+O0yjH1kDP5aIiUgsKaiwTAatNTkVFBeC2TOxOOxWm\nChDATy5yXlCgKhBApyfDbGa/TMaPVzZjsobjU6jEbM5Ar9eTmAhpRh9a2+8itKXR7QQxGNC01OA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}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Tuning Curves for the Population\n",
"\n",
"With all but one dimension set to 0, sweep over the given dimension from -1 to 1."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def tuning_curves( neurons, encoders, xs ):\n",
" \"\"\"Returns a tuning curve for the sweep of xs in each dimension for each neuron.\"\"\"\n",
" ds = encoders[0].size # The number of dimensions\n",
" curves = []\n",
" \n",
" # For each dimension\n",
" for d in range( ds ):\n",
" # Generate the input vectors\n",
" uv = [0.]*d + [1.] + [0.]*(ds-1-d)\n",
" vs = np.vstack( xs ) * np.array( [uv] * xs.size )\n",
" \n",
" dcurves = []\n",
" \n",
" # For each neuron and encoder\n",
" for (neuron, encoder) in zip( neurons, encoders ):\n",
" # Get the effective input for the neurons by getting the dot product\n",
" # of the input vector and the encoder preferred direction vector.\n",
" # Inputs form an nxd matrix, the encoder is reshaped into a column vector.\n",
" e = np.hstack( encoder )\n",
" inputs = np.dot( vs, e )\n",
" \n",
" curve = np.vectorize( neuron.rate )( inputs )\n",
" dcurves.append( curve )\n",
" \n",
" curves.append( (vs, dcurves) )\n",
" \n",
" # For each dimension there is a the matrix of inputs (each row is an input), and\n",
" # a matrix with rows as neurons and columns as reponses\n",
" # to the input x in the given dimension d.\n",
" return curves"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def generate_decoders( neurons, encoders, xs, transform = lambda x : x, noise = 0.1 ):\n",
" \"\"\"Generates a decoder for each dimension represented by the population. The same\n",
" transformation function is applied to each component.\"\"\"\n",
" \n",
" decoders = []\n",
" \n",
" # For each dimension\n",
" for (d, ( inputs, curves )) in enumerate( tuning_curves( neurons, encoders, xs ) ):\n",
" # As before\n",
" A = np.array( curves ).T # Columns are neurons, rows are responses for samples of x in dimension d\n",
" \n",
" # Generate a some noise of the same shape \n",
" S = noise * np.random.normal( 0, 1. / np.sqrt( xs.size ), size = A.shape )\n",
" \n",
" plt.figure()\n",
" plt.title( \"Noisy Tuning Curves [%d]\" % d )\n",
" plt.plot( xs, (A + S).T[0] )\n",
" \n",
" # Generate the desired output in this component\n",
" ys = np.vectorize( transform )( inputs.T[d] )\n",
" \n",
" (decoder, rs, rank, s) = np.linalg.lstsq( A + S, ys )\n",
" \n",
" decoders.append( decoder / neurons[0].dt )\n",
" \n",
" return decoders"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"decoder_A = generate_decoders( population_A, encoders_A, np.linspace( -1, 1 ), noise = 1.0 )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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},
{
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