{ "cells": [ { "cell_type": "markdown", "id": "f89d2673", "metadata": {}, "source": [ "Title: Linear Threshold Units\n", "Author: Thomas M. Breuel\n", "Institution: UniKL" ] }, { "cell_type": "code", "execution_count": 267, "id": "c5be801c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "\n", "from pylab import *\n", "from IPython.core.display import Image \n", "def fig(x): return Image(filename=\"Figures/\"+x+\".png\") \n", "from pylab import *\n", "def figs(*args):\n", " for i,f in enumerate(args):\n", " subplot(1,len(args),i+1)\n", " axis(\"off\")\n", " fig = imshow(imread(\"Figures/\"+f+\".png\"))\n", " \n", "from scipy import linalg" ] }, { "cell_type": "markdown", "id": "591acdcf", "metadata": {}, "source": [ "# McCulloch-Pitts Neurons" ] }, { "cell_type": "markdown", "id": "c7245f00", "metadata": {}, "source": [ "(Continuous Time Models)\n", "\n", "In previous lectures, we looked at various more-or-less realistic neuron models that treated neurons as dynamical systems operating in continuous time:\n", "\n", "- inputs to the neuron were abstracted as an external input current $I_e$\n", "- the input current was the temporal and spatial summation of individual synaptic currents\n", "- the input current then triggered spikes in the trigger zone\n", "- the neuron produces (under some conditions) a spike train for inputs above a threshold" ] }, { "cell_type": "markdown", "id": "92c2af21", "metadata": {}, "source": [ "(Discrete Time Abstraction)\n", "\n", "Assume time is discrete. Then:\n", "\n", "- at time $t$ each synaptic input to a neuron either has a spike or doesn't have a spike\n", "- if it has a spike, it generates some input current that depends on the _weight_ of the synapse\n", "- all these input currents are assumed to be summed instantaneously\n", "- if the output is above the trigger threshold for the neuron, a spike is generated" ] }, { "cell_type": "code", "execution_count": 268, "id": "fa413617", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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O7dvZvn07EHzmQ0NDFAoFHluxnGpvLwvmz6dULBIlEXhHmmVIEQaThN3rYpFS\n4qCTn9JefJrNJuVymcnJyVZ1HpOZlGYjZebM/RhLMy7+4sW88NRTWbRoEUOzhrDZbkxqiKUib2S4\nVkaCc64TXWyynLbTJstyPJbxmmfa4qMpFzyVgife/9lRodZqtc4OpVQqceutt7J582YeeeQRPvzh\nDzN79uz/0vOuWbOGZrPJoYceCoTPSaPRAMJOoFQq/fe8gC6eE5gSIl9/09+TRJp62mByLGNcFJg+\ns4Kr13hq/S42jlgOXjiDJfvPZMPWbdy/4jG2rN/D2qfWcNpZyzjrtBO48dobqdcNp550JIuWzCM3\ndaJKETfZRNUNuU5ICjHW5AjpKRRmsrO2jUu//EvOPvNknnegJulZwOXf+BYXvuM8nFGsXbOam3/1\nIO9//xsxTYlQO9mwW/Ljn93I3/zlG2mM7ubeNZswYzkvPf1IRGJ40Z9fzJ+/9hXsenol737fm1De\n4U0TITNMGrF58yYWLjgAIQ1KOxqNJkmhDBAcGI1aGBoqVIm0BudCBokPZ4S2q20lBUpBo94gLhbD\nUIw31Go1du3ahdKaarWXWqMZ8keGhzno4IPJs+xfZaIAz8gu2ddx0q7wm80mQgjq9Tq1Wo00azJ7\nzmySOMLYPCQ/Wh+OltMa7wzIoKFnWdo6u9SRphnFYiUcvyeAqMiurbu5954H6Js1jVNOOY6sVqMY\nJTTrDWQr7bDtkAlknQYNWDjwAmf2WiizPMf6iOburfQedhrVSkKRCaJF5/6xP9b/KbQdOftOxHbR\nxf8rpkgjD7Y2JRWTzYyfXXczqmA47ujns2rdHlauWssTj1TpiS0HHHQQzR11XvPiF6HPrXHz7Ws4\n752X8pY3nskrXnkUy+99jJ/feCVxocCaDTtZuPAAFs6dxuyF0zjmqIPIJnehcTTHN9JbFJx//iv5\n1j9fxYlL34ZrZGxcu4dYVcnNdg4/ehHT5y/k9t/dzUnHL0XkjrlD0xndUUPjmD6/h1u/9jCXfuH9\nZGmTex9bTzo2STpR54IPvJusvoOmyVAIhCqwaU+NFet3s2D+/q2j6BrEcQHnMpIkxllDuVLBWUej\nXqc23kQAxUKV8vQ+/OQkqiVLyEgzPLwjaOCjY0glqY2PMTAwwKJFi3He02xmVAcGwRimDQ6SZ1l4\nk7XuTIzunaL0nenPvJXZ0ta7w3sUCKZardLf389kbZJdwzvRWlOv1ymX++irVKj297BrZBeVviou\nD2ed6ijqOLbsAAAgAElEQVShmWaUilXGJ0Z46KH7KRUKGGfZvn0nQ0NDvOIVZwGGdHyUWEfUx0bC\n4clKdTzk7UWlk9ESBWnJW/eMhmuWG1SpF60kSthnNTm2r/k/g3q93q2su/hPYWp85DIck6ZUREHm\nfOJD7yX1KXc+8DAFmbJ4/1koU2O/ObM58aQTmKZrpOl2ctvPgJ7g7/7XG3j4zge54P0/48CjjuTE\nEw5D1Sc4+rhDKScJKtbcevc6brrpt5x1xjIOWrg/A0VBoznGnP5+lhx0MN/54W2c/9ZzmTVrHqu3\n1/H1Yf7x4z/iqGMPw/qMU3o0ZrKXjeMZG0d3s7YOD955F+e87CxSM8n1N97DppE6P/3hJ+irFska\n29C6iJYFEBleFfjNb29l6ekn47DkeQjkmhifpKd/GgZBoVKgaQzWphRL/cRJgz21GrXh3dx1/wOc\ntHQptbE9bN+2DSEEOZ4506ejIs3gQB/TBgbAQ7MZMtKjVs5MW/JIkuQZGnubwIGOjNOWatrxAPt6\nuNsj/86FydQ5c+aSZSmDg4NkmWfX8G7WrF+HLBXJd46z5ID5FCJI04xNO0d44uHb0MUiy056AYVy\nGWcshVjjXEi1VEoQSYHNUnSksN4grOxkw8DeCIP2MXLO7q3G28NJ0jaJ+mZQ1ApJhnsWE/l/Brfc\ncgs/+MEPmDVrFjt37uSSSy6hv79/qi+ri2cxpkRa2XrbVxDCg4S1m7dyz72r2DS8jR3jdT7wV+9B\nm5yhvgJP/H4lX/3unZzw/MWIPGXTxm1s3T7CgiWLeN6hMzj8sIVUBw/g/R/8LJde/gXWL/8No6N1\n1mwYp6e3zKkvWcbD99/Pb377BGctO4hzTluKNROYQi+/u2cVP7/mBoq9JX7z8NO867yXcvKppzM+\nsY2PfuSLvPzFixnfqahHZUYmRxkdafDYkxv41lf+lsVzI66/9kFOPmsZ0ysGb3MipcBFCBRCNtHF\nPj7z2S/zkb/7IPHkLhCWQiFhfKzOrprkplvu5ImntrBoUZVTzn4RI0/vYPpQTLkcMa1nOrJcwmQZ\nu3fuZObMmUQ6pDVmzTqIHCE8ERHhSLxwyEZu845z5BmNVJ558EZ70rNdpf/hR8D7MJEZxzHGmJC4\nWCqQmxxrDXEctTTrMvWmxekCH/3UP3HWKUcg8lEm6xPMmrcfzz/xBVCbIIk1xjQpFoqd6l/rGGMN\neR5iBTqRtXbvwtO+/vaof5yEQzlsvref4JyjYVMKfYvp6+1HyAm8hMLCZ4dG/l/Bm9/8Zr7//e8D\noSq/8sorefvb3z7FV9XFsxlTQuTbbv9HvDUIDTf95j62T3guePWx7CkN8OH3fZQ3vuE17Dd3JjP7\nilQqMc15c9jx9G6c0cxZcggjq+5msjkCRpJPFphA86nPf42fXfN1aqMPEjUShuVM3vfWD3D5xZ9i\naE4fG7ZsZ9O2HWzZto0tq5+iOVbjruXb+N7Pv86sORXWr3uUV734b+kbnMUpRy9m3erH+F8f+wgH\nL56JUA4bx6xcvZ53vuuLrHjoDsY33Mdr3/Y5lsyczZe/9knGa2twCKQsY7MJVHWQz3/uS3zuE+dj\nd+VUFw5y3a138IVP/zP7zZ/HN75zGXGvw47V2b5+F/RVWHn3nZz5whfi6w0Qnlq9QaFYwXkfTkUy\nDZIkTGFKwrF2+5LxM5qP7pnJjW3ZpNlsUqlUOvG71gZtW0tNngcClTqn2cjDcXhOEceeNG0gRTiO\nLs9TkqJjIk8oTp/PX733k3zqsxcwrRihnEN6S71WR6hwfqh3e6N2rTXkeYgYTrMM1brecGarIykG\nX7uzNuTMALkxYYjMGOIoImvUWtduEULSTB2lngMZnBeDV0hlSBY+OzXy/wjXXXcdhxxyCPvvv3/n\na+9617v45je/OYVX1cWzHVNC5Btv/gek8ERJxL2PredXtz3AZ97/Ou58ai2F8iC/vvkelj/6GKed\nchxbNq9nomHZr7/K0UcezKNPribJJQsOXMD2PdvZb+FM5sydjSv3cOv196DR/OXb3kg6topK33Tu\n/N1y7luxirQxSrFnkMGZcxjZtpGCjFi5dg8LlhzElnWPs//ixbz5HW/hvNecz0++/XkKTHLPXQ/x\nwlNPIq+P47QmRXPv41u59LJv8bUvfwiVaIY3b+Nb/3QlX73sMny6C+fHKFXKTJoS//Cl7/DxC9+E\nExM8snyUe+5/nPPPfzlaGrJ6DecmiaIyWvdx5333cPyyk1Bpgyg3rUMdBDac2YPUrYOVs3CAs/cu\nNBBbBN0m8XbEa7tifUaGipTErUzzkMOSopUkVpLMhLhaLyQmD17sOE4wxoZQKqkQrQMohJTEcYnl\nazdz0433ce7rX8KMEnjTpKA1uKC9q1a2ezszHehcX9u905Z+2uFaXoSQLCklwrWyWLxDRbozCZs1\nmx1LoxSSickGxeoiioM5xaQHZEq84LlJ5Bs2bODCCy/k2muvBWB8fJzzzjuPa6+9tjv008W/ialp\ndspw1qS1hhkDCZHM2DmZM7NUZOOOtRx36EyOPmIhw3vqTExMcuaLT+c1y47BTExy2rJl7JzYyN33\nrGf5E6Mk1fnc/tuH2bzl9/QPzmb9ut2IkuUtrziTpm3yvOcfwEkvOAZhTDhqTCuEUCRKctUv7sCX\n5vDalx7GQ/et5UMXfIwtm7axbfM25g8Izjj1ZGqT40jv8N7SUywxY26FlWu2s+z0DzHQU+Lw5x2M\nEDEjjNAbKcjK1Cnw8GNrWPH4ajZuH2X99h1c9S+/5pK//yS2voWiFghnyX0CssSjq9fxs59ez+bN\nm1HSMtjbw9mnvIhmXsfLMEAzPJlS3z3C/vOGMHmTqJCEirWlYUPbW723Ooe9XvW23t1sBlfL3kEe\nQZZmeCHIPehYoVUJ60yrSvZUevvJpYI0ZceOHYyOT7Dq6Q2MNJt85MNvYff2jRRUGaVLSAm+JYV4\nxDOOots3V3zfk3/a1y5b8cHGmM5ZpEopJIr22JN1Dt2KtxWAceE4uWIpRoi8dYj0H/sT/d+H+fPn\ns2zZMj796U8DYajqxhtv5NOf/jRHH300L33p/+wwsC7+a5iSinzLb/4BJcB4y57dY/zo53dy5ktf\nytFzC9Rqe4iLZTJRJKkM4GTMFd/4CZVCnZNPOpRp0/u55pbtPLLiCV72kqW4dCsLl8xgaN5Msomc\n39z6AGN1S9MItm7ZzovPXMbB+w0xfVo/EyPDRBEI7/BW4Yu9XPz1H/EXb3gVgxXPuO7hHX/xSS7+\n5PvZr1+idAEhDEI6RByTqgIvOfevOfd1L+flpxzJwJwijVHHd398G7++5W6+8c3P8fAjd3PL9Xcz\nd9b+vPZNZ7H2/nvZPep4/VteTNYYQZoi/QPTyLKUtdt386vrb8Npy9IjlnDYsc9HANn4BJWoQGrq\n5MLhkx5+9MPrePHZpzFU8iiR4VQErUjbkBwonvGnPSG4b/437NXK20TeSDN0qYSWEVu2bmdkZJTB\napk5s+ZgrGf12nVs3rSOZrNOT28vg9OmUentoa9aRJYraG+IpcNlqjWVSjgw2+Qh3XCfQyfaH7X2\nwvOH0bcej29F/nrviaTCZOFAEJQAEc4WVSJEAigVJmDrtVF6Bw8j6snAFxAyp7D/c7Mi//dwxx13\nsG7dOl772td23SxdPANTI63ccjGRkngp2Ly9xs/veIjb7lvB+155LPMPWMyKlasYncjYsmUjxx9z\nJIcdfRBrtjq+8dUfML1nBpVZloJ2zJ8+nVOPPZEbb72LNetH6K14Dj18Flu21Jk+r5+fX/87jjj6\nBIZ3bGDb1mEu+vTfMmeoiJYWrSJ22ya33reKX/7wbr78pXdTjkd59MmMjatWce7ZJ2Gtx7kmuWsg\ne/p4x/mfZfGSk/j437ySeKxBDUfkx9E9vdy5ch3vu+ASXnven/Hed/8Zn/nERXzq0+9munAI42nk\ndaSO2DHW4IZf3si2HXtQcS/vfvebqRQEOzasYs7suaSNJsVCGWEdqauhSmWuu/1Rdmwe489f9xJE\nuptIWjI8tA5VbssSUgZNGhGSArWM8K1T7xERQoFHogCBJLOOunU8uPxRVq5YzuIDFnHEksNo1kfY\nvGkLExM1Zs+Zz5FHHUIkwlh+O0scbzEoknIPLm3gjEUpgRDgcXjhQ1bMPi4YgCiKW7KLwlmDcxbn\nwqlFtkXmITfdhOxxB7QWfQgxwFq1ziJthZCZvE6hNJ/yjARyhYgcyYLnbrPz38OePXv46le/yvHH\nH89ZZ5011ZfTxbMEU0Pkt12Kd5bcZNxz1xP0L1nEzbffzyc+eB6/uu52Tlx2Gj0Dg6gkYsuazfzV\ney7ic5/+aw5dUCEqZRhtELlEZBG1mqLpPZW+KjZLEd4Ra01UkZjYs2fzVlR5GsnQfK759nf48feu\nom/aEKvWbmdkPOWUM47k+c87lO9+42r+/tKP0ds/n69/8+tccflH2b7xCab39DOWpqwfE7z/PZ+n\nWvD8+tdXML5uG4VyEaEEedagUO3hO7+4j5/8yy+49Rc/ZvXG5bzh5RfSP13xk29/hTGzi83DNb7+\npe/zv7/wGabNquIbI7hanZGtwwzOGqISxTRtynhjgsZYio89PUP78/GPX8rfffR8onyCarXKZG2c\nJInCUI7Ye8am0BHWW4TPsanDW4nzFhcL1m2a5OHl97DykQfo7+2nf2A6T6/fwNxZs3nTn7+VvsEe\nRofXE7koxNpKiY4jMpuj8WBt5+QhEEgZdbTufbPIpQySSDs+oP319klCaZp2tN7xsVH6eitkedqJ\nbPDszTnfe3yew5gcpWRrpyE7j/HekzcdgiK9B8wnzupkGor/Q4kcQpP3qaeeYs2aNV2ppQtgyoj8\nMmyeUWtMsmrVbvoWzeNffvhLPvaRN3DbLx9i1doNVAYEvdXZzJ99IMedMIM8rxPlTfKC4FfXPszE\nxAgjeyY4+PAlnH7myZjaKFIXiKIEZzKsLyCLMTu37+Y7P/oVI1s3smD+PCyW36/fQdJb5c2vehkn\nHbuARqPOht0pF370UvaMZDQaTY4+ajFvfv3L2H/GDO586Em+9M3vc/ONV/F3f/PXfO5jH6WUbELL\nCkaWwWfBPdI7xFv/4m85/oTjeffbluHyjCdW7+CBRzZx+FGHcdOvbuHCC9+JGdtBPZ9k5QP3ctZp\nZzK5e5Q9e/Ywbfo0kIJKXx+NQoVmM+UfLvoaf/uR91KQY7iGC2mC0mNdiILde/5lKz1RSpzNKSQF\nrAXjBA+vWcuTT27itBeexPSKppDENJopUmsoRqx7agsb1+3ilFOPQGUjeEMr77ttWRR4t2+OSgj2\nCkQe71Nx7yXy9kHKe/XwVrytzYjiKISKRRWyvEGaTlCt9pI1TQjV+oN0RSHDQdZBRsqQUneiDKxz\neONpNgTTDz6QQtqkqT2l57D98D+LsbExTj/9dO644w7K5fJUX04XU4gpaXYqpRC+dWpNSTC8bTOS\nAj/84Y0cteRQXvaKZTSbexis9qGM5JFtW7jpjoeY2Fpj+55RBvv7KPX28+q3v5nh4a185gtf5djj\nX0C5ZxorH3uUvG5QiWLdxs0cd+zzeec730R1ICJWEFuD9I48d8ikQGMiJS730mg+RU9S4hv/53Mk\nBcnv167iO9+5itzAk08+zbkvfxnNDQ+y6OAZ3PPQ45x28nScMzRroyilQrpfY4SPfuTdvOzVF3Le\nn72EvLGbu357P+u25YxMNBjeOc7HPvAxjjv6MJ532CJedMbZuGaDeqPOnLlzkaUi5b5pXHXtr1jx\n0L0IpXj/Be9BZjUa2QjlYsilznOD0gIp9x6YHLzZEpBYq0mdx5GTDEzjoR8/xF9e+E7s2AQJkrTR\nQAmIIvj1Tbdw/W1P8+ijq1m7+QW84pyTGayEQSKT5SHfxNGpxvdtTgIdj7cQ8l9NVD7Ty+7RQuHj\nmNF6jeE9DZ78/cP09hY48YTDwlATEd7bZ3jEnXOdxid/4JFvZ8hoGQ7KFq2o4GfzZOd/J3p7e7nv\nvvu4/PLLKRaLvOc975nqS+piijA1A0G//RI2z9m1ZxerntzF0pOOQsVVXLILXxOsWreVlev28Pjj\nT1AqDlAqxgzN6uWFxx3G9AXTqSRVbvj13Xz9ip+ybOmJTE7spjRtBitXrmJ6T4F3//nriQer9E0f\nILENkqyB0I4UgW0YrHEU4yIWQVqtcMmXvseOTRO86y/P5qDZ/fhGHXSVJBmAaJKf3HgX06Yfzt3X\nXMFff+4TfP6T/8yHLnwj1aRB4h1exCAjnM+QBcEXv/ZzNu1sMn9OmXNPP46Z+83m1ltvpdw/wAuO\nO4Xrr7qOwcGZnH7ioYwMb6Y62EdcKjFcT7n6muvwoofTj17CggMGMbmjQMKmDWsYmjWLJEkQwuO8\nwbu9JxFZa/HSg1AUq/0Yn+OE5a5Ht7Dh8a286fUnIyabSO9RGlLTBOExccJDj21i5+g455xxHHfd\ncCNLl51EbnI0MtggWznqtiWvwF7te69LRv0raSXIIJ4kKYQgMCcQBUlTxnzmon9m89rtnHPWibzm\ndWdganW0T0Dkz4zmlRKPw9p8nywY1bEtZlmKkp5mQzHj4EOJG3XSRFKc/4o/9sd6SrFjxw4uvvhi\nLrnkkqm+lC6mAFNSkee5J4qKjNdSjjn6SOKeXh554Hdc88s7GMmrLF4wk6MOns8rP/oOKtWIuJ4y\nbuHJp3fxsy9fw9NbdjJ/3my+dPFHWDJ/NnvGRmimI/T95VmsXLGRH1x1A7u3baRhI6RWxEXBtg1r\nOeKwI3nhaWcwNL2Xgdk93PTre3jsgeW84pyzOPZts0gzQYkMQZWGiHBylPFJzWP3/Z73XLCMq8c0\nvb7GuW86nTdf+Pdc/c+fxokchAVyfFygYQWFvh5+8aMb+dD578CVK6zZPsr9D6zhM596GXJ0M699\nzQu556670EVJZdYsUiFY8eQwn/nCP3L4YfN5+1vOZvWDD1EZ7CEuJ4zlDWYsOZDhHcPYPcMsmDMH\nMolWlmYm8SWPjTVa9LFpeIx7f3EN0wd7wVpuv+tBPvuFv8PWR5CAl57culYePCSZZdlhC5kYHyFq\nTjLSmCBTRYTTeJcTRR7hJNY6hJQYAklLZ4h1EecidNzEpI5ipY/m+Ci6EJG5HK11Rx5RSoH25CJh\nRy1lycFzeOdbXsb8ObMx9ZQ4LpOmTaQP5C3wSHxwqWgdjpazHikjvPNIobDeo2RMEil27h5hVm7I\nlEO5/+AD+EfCpZdeyvDwMEIIzj33XI455pj/bz9rxowZfPCDH+QrX/kK559/ficpsos/DUxJRb75\n9q/gnePpDetY8fvH8YVe3vWOtzBRr2F8zve+eiUP3bWKYm9EzVumTZvHg489QaEgqJaqLNmvwtvf\n9ibIMyqFCpWBKkLkKAWZm8BHKYODc6iNTlDu7cVLy9bfj9I3UKHmUq747jWsXT/M29/2ek445iga\nIzsRJkMUHJN5jWRwf+6/9V6WL1/Bffc9xWc/80H2m9/DW9/6Ef7PVz5D3NvDuz54CUODc5jeW2fl\nI8t59atew5Zto/zLVb/m5oev5ozTL2DPljUUlWSXMfjc8/Y3ncEF738DhUKJPDNsWbMe93/ZO+8w\nqcqz/3+eU2dmZ7Y3dhd22aW3pQkozViIiC1KjEEFiQ1rsGMn9l5C7NgSlRgL0aiAXZrSey8LC2zv\nO/XU3x9nWPGXvHmTvImbvK/fP7iuZWfneWauc93nPvfzLa5EZU09H3zwJU899QBV+3bx0txXKcjp\nyuo1axE+BXDwSw6P3H8Le3dtozC/C7qsg2qDGqJyzzbips2d97xE7z75nPezyVhmjKzMbHLyuyLZ\ncYRj45ouJibgJGfWLjgi6Sxo09TWQthyeP75lynIzebcC6ZhtbcSSgtixKOYloWkaF4htQW+oIRl\n6rhCxhY2ZiRGQFWwbRvNr2MmHRXBO5RNWHFi/hDzX3+TadOmothmh2T/sN+LazsI4YBje8HTrot0\nBHURwDTNjqcD27aRcGiJWOR37Y6qA5JAKznj+76sv4P6+npqa2uZM2cOp59+OkVFRUiSxKJFi7ju\nuuv+pWs/+OCDaJrGzJkz/y3GTG+88QaqqvLTn/60s7fyvxadVMh/jSQkduzdTc8BQ7l85iMMH9gf\nLWRjSyrHnjAep72Jqrp69lYcQrb9nDtlEsKJErEMqqubaI+EScRN6hrCLF++iZ49Sph46kh2bt7O\ntq2V7N9XS5fsHCLhdpqjUUaOLePMSach2wJNt1GEhWmAGW9BuC7CkZGCmWzefYi353/ASeOOo7Bb\nDlooQG5IQ1YUpk69lnm/fQRFhctmvUBdSwNXXnEZvXsUUbd/J6ZjUlxcQnaBwekn3c4zj11BdnoB\nURHmUGWEL1Zs4I8LlnKoLkx2WogJo0eSm5/Fws++4vUXHkBu30dqUCPi+FAlG0e47KzYS7eiYgKS\njm07uK7BwQOVaIqPiBUlKy2HQIpKa9iiqqGNweV9SDTVEgyFSFg2iWgcScie66JpofsUTMs4Qpjj\ncUBsM4YWChJJWKDqCNNky7atpAZT6FrcHct2aY0m2LByNSOHHUUwICEHXT5ZtIb6ZgNLilPWrZBx\nI47CTsRwHBMhCy/qTjos3jFpNRxiLe107ZKPZZmejD85orGT2Z6SEMh4Ck8hvp21H0ljtG27Q9iE\nbdIatcnt2h3N5/1OLz3z+76s/wyWZXH22WfzzjvvdHDlX3nlle/FN6WpqYkXXniB0047jb59+/7L\n1/tr+PTTT/n666+5/fbbO3Uf/5shz549e/b3vWjznuWAIBqPEW6r4fjjxjB2dD+GHdWfL5euZ9Pa\n1YSCMllBH8MH9GTMqIE4bdVokgVmgpJAGrkhne6FWQwb3I8B5X1Y9NlS3nvnK4oLunHC2P6c9JOx\njBpWyvjxg+hf3h0llMo9dz3F9r1V5BUUkVlUgKz7kaQMWmIurYbJF+s28fHCZdx373UUFgkCPpWQ\nIqNgYLgyXy7bznEnHIWL4IOFy3jisZt58bln2bl5ParqkJGeSkFBMfPmfUVhl56MG1GKYmuoCYu8\n9HTKBxdy9pQTWLl2M8OHDuCeW6YxsG8WEyeNYN7cNykfO5JwuA2frKBKKSQSkJmWj20oJNoT+AM+\nZBkys3MIBIKkpqaR6g95mZe+EAsWfMrIYYORTS/GzcULWg4nPcr9aQFwHARSUv3ohTs7ro2myCQS\nBggZkfQALy4tZfu2bXTp2ZsP3vsTZixKbl4uaal+gqka9Y1hMvP7I2s+sgpLkCyJzMwMNJ8Mwk3y\n2r10UccF13EIJwwUVUHVJFRFwbJsNE3rsMeVZQXRkWMqvDzRI7zJD9sNqKra4RcjS4JI3CIjO9e7\ngUgCOaNzi9fKlStZs2YNmzZtoq2tjdzcXNLT09mwYQODBw/+l6/v9/sZM2YMr732Gi0tLZSWlv5Z\nMLPjOCxevBhJkpBlmerqanw+H/F4/J86mnnkkUeYNGkSBw8eJD8//2+28f0Bfzs6ZUauKAqO65CR\nkc5vX3+fm26/j/ffnc+hqh1MPuU4uhaVsH71OoYNHojPLwg31uEPZiKnpqGLBHY8QUtthI2rd7Ji\n424yUoOcfdJY+g0oxK8J/LqPqOvDl6XSVttEj6IyCiJxxsy9h6Vrd3P6lOsZMWoIFTu3MmLoUPoO\n6sfGTaspzCsDKYVrZj5JfrcsQgGdEYOHctTATPYf3MmPjhuH37XQAn5kzaChqpq7bv8FzY0mtQ3t\nNLa0cv+jT/H06wt54p5r0dJScW2XRMTvhSpYNnIkxmvP3ceFF9zFum2VlOWo5AZ9bNy3h7ffX0Ka\nX6F+3z5cs50effpRWFbGgV0VjBjaH8tJ4LoGkuXiJmz8eWloriCOwod/+JqCklJcI46i+L0vWkj4\nNB0pJHvS+t0NBIOZJKIRVNUbS/j8QXKzMrB1BUkSnle8pJAaVIm0tlLaoz9PPv4kPz11IgX5+ZiO\njeoaJAyTWMLl3vt+hT/Vh+X40OVU+g4ehhurR9cB+9uDWBDomp/aHbsYMfpoYuE2bOtb/3PDMPD5\nfYAA4SKEi+S4HdJ8IYGmeH4rniWwTiLhJF0fLWzLQhYuVscNqnMxdOhQSktLGTt2LJIkkZGRQU1N\nDbt27WLZsmWMHDmyw4XyX4lrrrmGmpoaHn30UW688cbv/G7hwoVs2bKFpUuXMm7cOLZs2ULv3r0p\nKSlh1qxZTJ8+nWHDhtHa2sq2bdsQQjB06NAO3xzLsrjooos6bqiH0bVrVx544IGOnw8cOMCAAQN4\n+umn2bp1KytXrmTu3Ln/8s/+fwmd43649DfIksTeyv3UNiV45pnXmXbpL+jVt4yGVpNbrr+XgX1L\n2LxjA0OPGsb4o8cQjhxk5ZoNrFmzj1Qpk1S/wmUzpjDyuMEImkCWaGhX2LpqPxs37mRbxUZikXZS\nU2WmnHMepDhsWHaArbv3cf31P6esZ2/MRDOuovHNsrXs21rFBReehmk2s2N7E9u27+WbNetZtGAF\n11x/Id1757NzZR3TLzqZ6qZa/vT5OjavW8eM886gOD8FRWrn6zUV3HnXPFau/RM/O+cyIm0xBgzo\nyikTjyYrI41ozMZybHqW9SRsm0w+93o+++MT0NxCSl4PNm5Yj3BjlHTLwh/SWbZqA6uWbuKqiy9D\nSrTSHDtERree7K5pZsmixUQT4MZMAjkZfPHZOl559nrcaJiAquECpmMjbKfDJlZRFNraogRSfLiO\ngaL7iccNduzcia4plHYvxREukqQRjzWh+yS27KogPbeIgmAqwrYxFIFfOFi6QiwcIzOvAEeWkDUZ\no9Ug2hwhoEnYVgzL/W4KTjQSAUXCME3a29ooLura0W1/23F7WlRJgGTbSMIzx3JcC9e1O0Ysuu4j\nEffMvGzHpKExTK9+/XGEjYNA6/7vx1oJh8M0NTUhhKCwsPDPOuQj4bou27dv/6eNRdrb25k6dSqz\nZ/bJIHwAACAASURBVM+mvLwc8CxyH374YY455hgWLFjAL3/5S/x+P7quM3v2bGbOnEkoFGLp0qUM\nHDiQJ598kiuuuIKePXt27HHLli3fYRkB+Hw+evXq1fHztGnTePnll7n66qs5/fTTiUQilJeXU1JS\n8m8xw//fgM4JX3YFiqzh9wcYXl7CO396kblzf0dKII07HvwNt9x5Mbu2buWW2RcTCups+Gojsbo0\nHnzwGeTIAZpNg+2b1rJ69Ve89/nHXHrZDdxyy61YQqJbSTr33ncrljgDn17Cto3ruOKy2QSCIXr2\n8nHjrKvJCWThxBuJygofvvcZrXUtnP+zybQ1ViIsk9IchW6h7hx/TDcuunIGJ0z8BToWx/Qt4Tdv\nvESGlkKP/qXs31fL1fc/hdyeQHYdWm2T404/kVjTBk7/6Xh69u1Hz0I/a1fvYv36HXTJL8CyE8y6\n4R5uu/ty7r7uYi6cNps35j1EXf1SykrSiLakoFg+EjEf3bv1ZsQV5UhyE056kHhVN6669Rn+8MFS\nLMfG5w/gtAuCGToDivNQhIPppToj8KLkBN9mfEajUfw+HSMRRffrWIkYiqRQXNyVuJGgrrmR3Nxc\njEQYVVeIGzaxmENxKA1X0knYEVJkG8t0SMRMdFUh3FAHfh/1tbVIqOTn5mPGokgiySxJHkoqikJj\nYxNFfXoSQGLV6nV0Ky5B5rvGXpZtJUcxDsIBGxshOOLQ1OveDzNhbNvrQzRNRfj9mO0tntDp3xDB\nYJBgMPjfvm7p0qWcc845LFy4kNLSUvbs2fM/LnihUIj58+ezYsUKxo8fz1dffUUgEKCtrY3MzEx2\n795Neno6c+fO5ZJLLqG+vp633nqrY78TJkzg4osvJhwOf+d98/Pz/8zP/v9/0mhubqampgbbtlm9\nejU7d+7kww8/5Jlnnvlenkr+L6BTOvKGb+YiSYKtO7ZTUlaEI+ls3VHJ62+8zYWXXkVzdR1rVq+m\ntFsuhplge1ULhtWEkH3s3duCP2FS1rMEyZ/CV2s2MnrUULauWsOJE8biCIuEadBY34aiapQP6UGP\nfqWEggF2726ntrqWTSuWsmt3LaGcLAQyubkZtLfUcfKE8Rw/9ljseB1+VdBs2cx96xPaEjK6afDL\nGT+nNdJInj+dlAwf9z38PCeeeRYhTaFu/04+/PxrPvtiC2dOLCduZ7Jzy3pOnnAMis/P9i17SEvV\nuPyyn9AWNblv9q857+LTeH7uElzN5LKLp9CtSzqu6uAm4tRVNrF64zYq9lSxbW8VtY1h6poaaImA\npAjMRAxLOLi2guxXKPKl8OX7DxCSZTAtNF3HdGykw4ZUSb65ZdpoPgXLjCXVkSCrGkgSB2tqSPH5\nSBgRmiIJ0rK68vYfFtGaMPlm9RYun/FTThxWhIwfR3KQbJmYBY89+Sz9eg1m4edLue/B68kIKsiW\n4XXLSYta3e9n27ZtlPTvzy03/YoTjxvHUUMHkZbi6+jGD6tDkQQCBw2B7SQ56XYiGQEnJccxAscG\n2/Z48Y2NYUr79sMw48iqilpy2vd9Wf9TsHLlSp544gneeOMNAGKxGK+++iozZsz4p60RDoe54447\nuPHGG7Esi08++YSBAwfS3NxM7969UVWVd955h6+++oq77rqL7du3M2zYMH79619z2WWXUVZW9net\nt3btWtra2hgxYgSXXHIJY8eO5eDBg/zqV7/6q08lP+BvR6cU8polz6BpGtv37KaqrpmtW6qprW3g\n2juvQTfqvI5KVsBIoMguumMhlDRMNCpramg222g+GMYMm4w78WhUYVF98CBLl39DIJhBUWEZvtQE\nh6rjLPhgObGEQV62jy4lRSz8ciUWOlPOPYnJk45Bj7ajawEORQw+/XwdK5Zv5o77ZrD268957rmF\nDBs7hnPOmsiHb7/HpVPPxjTbCRg+5HwfF113P8eOHMDyZWsYftRRROMxcrLzyctrZujQ41m6Ygs1\nTQajBqbTp3s/sFyibXUgCXwpIUwR5KHnfsPzL25AOM3k52fhOCa4FvUtEQYNKGHiuMH06dWVnKwM\nXEnjsWfe5dOvN5CwTUJGkIhtIaVZ9M3N46v5j2JHwqiui6KoxE3jOxmcjmMjhIxtJxCSN7YQroQg\n2TnrGlXVVUiBLBoskyWLP2fiqSdz970v88af1tKzQOejV26jck81jXXb0NRU2gyJzC69aK3cwLBR\nw8jMzcGHimS7OIrANJN8ckVhd0UFmd26cfZZM7ji0imcetLxCDvRMfbxxibgSuBYJmoyqUiSJWzH\nxHEsz9Y2aUdgmZ5VruOYRGMO3Xr3wTbjOIBe2rn0w38UH3zwAYMHD6aoqKjj/y666CLGjRvH1KlT\n/6lrvfvuu7z66qu8//773HPPPdx6660AHDp0CE3T2LFjB6Wlpei6zsqVK8nPz2fAgAEdM/K/F4Zh\nsGnTJrp06cLevXsZPXr0D6OVfxI6pZDXf/08ruOycesWBgwZTMznJy0QwIy04ZNl7ISNqqgkYm1o\nukwkEUdYCj7dR0tzPf6UFHx6JmpmCvU1NaxauZlTJ52AKTvsPNDCOT+ZwW13XE5aWpCi7FT69uuO\nlJLJyiWrSPdBXmERf1qyig3f7OEXF5xIr54lGE4Lc555l82bq6mqq6N8cG+mnDuRQUXZbN66n0N7\nqhk1YSg+W+DYMqE0nYt/OYcXX3+YeNVe0FyeffkjRo8aS/jAJkYeNQwpN8TFF9zDy28+glnfhBuP\nISQzGY5gQm4Gp0y5ic1rGjh6VDem/vR0fJpLYXEhuSk6qRlBVE1APIpk2xiWgxLMYu6bi3js2Vdo\nbgUHmaAiePWJOzjh6EHYVhuyFMcyHFxHRVYOS9o9d0I4rMR0MIwEiiLhoqBICpIEjpvA8qVQU32A\n1FApKhEiqsG9979DUdcuTPnJAFIJoqekovp8bN6wgf4DB3KoupLMQAo+VcNVFc+Q1v42VGLjpo10\nLSokJSOD1+fNY9p500mE2/D7fR1duxACISdn5Y6NJFyEkHEsC9cxMY2ER1PkCPm/kNAdwe5DtfQe\nNgzXMZDl/9yOvKKigmuvvZb58+cD30a9DR48mAULFhAIBLjmmmv+KWvFYrEOO9zTTjuN995775/y\nvj/g+0fneK1IMq5wMU2TjSs3Mu+Pn5GWk4/s2Ow6WEn54CHs3r6Vwf1LSU9PIxTqysBBZTTu28WA\ngWVE4nE2bdvJF18uobY2QmG3Hmzc/AK7dx/iUHUDLz3/GIXFEqats2lrBZ8+9TrRlhgF3co4ceJ4\nZLedn4zuTv/evXnxt2+zbtMeDFR+8dPzGD2umPlvL2Ly5DPpk5dGayRCcffuvPj6h4w97Syk6EEk\nJ05zc5Qu2Sr7N+wh2x+DFB81tc00Nx+iT9dcXFVhX20YNTOXRx56mNKi/hx/7FFIto3qSsiaYMum\nKvZsrebF52/l1OOHYtfXeM6FskwibuFzE8TCMSTXRpVlVNlFjjcw4yejOfPYISxYspLGpjZOPe1U\nehbkgZPAcS0vWUeSkCU5qToFRVGxbTPpZeKNJzRNRZFlLJukOZXAtC2itsS773/MJZdfg9vaTpAI\nj959MSCItu3HDzh2G4m2Zvr2LCTWWkVOZjqS7c3lHVzipglu0nNcksjIyCQ1M5u25ibKe/cDI4F8\n2FrgSL902/nWVx3XSytyHHAdZEn2PF1wO0IqjEQCSygIWUJyXSRFxXb+c5MlunfvzpAhQ9B1nQce\neICamhoefPBBwGPCVFZWMmvWLPr168e5557b8T38I1AUhWuuuYb169ezf/9+3nvvPU4//d/vkPgH\n/PfotI5cVVTWb97EwEED8aVl8LtX3+CTj9dxxTUXU9K1mE8//pR9u7aQ3yUbV/exY2ctjQ37KCnp\ngRVPMGzwKEpLC2lqbqTi0H4279zOqGFjGTa4Nx8tepvFXxwgaticOGEUM2ZeSl3FRlqjKlfMvIvr\nr7qQ0YNLkCQXLT+dN+Z9iD8QYu5Lv2PwsNGUD+rDW79/n7pDrZw9+XjOmz6J2som7rvrCW698QJ6\nleSxrmI/Lz/3Nk8//iC2VQmBbC69/j7uv+1KcpwoIqOAG++ey823XkmWMDlwoJpdO3YwbszRuLKF\n45eY8JPr8fkyWDDvRox2G1URWLaLrAdx8KEJMOIJJFVi76ED9C4txoq2ockypmnT2FBLMDWDlPRs\nnCT9znFMhOuAA5JQkJIdrmUZyLLAdb89NLQsA0WSkSWVhGmB7KIGFOa/u4yhgwZTkB1EchNIik3C\ndtADQYSiYkUNlCQV+HBQRdw2USQJyQFJV7EB0zA7CvTevXsp7dmTqgMHKOvdl7baGhSfjsth+1sJ\n1/X8UzRZAWzMRBxX8gRCjuUgeSYDGI7ppRslM0h1ReNQfQslPXuhat78XP03ZK38PWhvb0cI8RcP\nRx3HobKykieffJKuXbty0kkn0a9fv394LcMwSCQS7Nq1izVr1jB58mQyMjL+J9v/Ad8zOqWQ1y59\nFr/fz5Yd21m3aTunn/pjbGyCegBHNhGyRqQ9RjAYwBEODdWNNDQ14guEeP/9z8ku7oEmFEpLssjJ\nTCGzSz4Bn4oZjSEcG1VVMASoqp9Iayua7IAtwJGwhY9lazayftNWdu4Jo4Ykdu3axyUXn8uPxw1G\nV20cJ0xGajpNTQn2VNTz+PN/YMSQoZwwsZyC9C74nQYa0HjxyblcffV1YO1jy94Es+54mmnnT8An\noDEaZ8+uvTz5qxlYtomip/DrOU9z1RUzSDgOjz31Rx6b+0fK+xXy2dtziDYcQA8FSVgSv397gZeU\nhERhbi4NjRH69C5h/LHHYLY2oCiAoiBcl/r6RoSsEgimoargugaqpOIR1wWHHQPBSRpaeWKgw4Vc\nFhKKUEhYDkITSD7Brb+ai5uQ+dnkoxk6oC9WQsEVMWQVzLgNksB2QdM8uT4ChCJjxRL4NB3DsbFx\nUeSk3axts3fvXvJ79GDdsuWMO/poJFXGMk1s26OudaQW4QmHXMcC10ZSk+HMCRMJT6rvSPa3F7AQ\nuEJQ29hGz/Ih2NEwjuOil/3vt7E9jMcff5yqqiouueSSDmrg/wSXXHIJDz30EOnp6f+E3f2A7wOd\nc9i59CmCwSA79+4no0c5n3/yKSeffBJOPMzDv57Hxg1bCagqfsnl3HPPZNyE/kiWgekqiFAOG7eu\nYfGiZTTUtFFbG2bksOH0KM1jzLFDkBKtCMfCdfwgObgu2LbAn5dHNNKOL9WPZVv4Qn7slgiyHeE3\nT77EpJ9Mwi/S8AckJEklEU+gq36UQBBDESxfu4nnX3iRtrDGsUMH0Kt/d554cR75GXnEYmH0lBTi\n7W1cdfE0glKC9niYe+e8xKD+gzn/nDGUlZUw57k/0O7E+GZFJbHGVq6b+XOee+kjfvvqw5QVBrHk\nFK68+CauuuYKinPTScvPoLF2HwHFxi+BiCWtWi0HIck4MvgCQZYu/4aBQ4fjz0yHcBu2ZeMmLHRZ\nQdJkYrEYuq51CHO+FeEk0FQNbBfbsb10HkUm4fMz77e/55iRgykrKQZLYFpxHMdGkSVUTcF2vLQf\nwzCRpWSijyQjJBk0BclxicdMIrJLMCODg3v2sXXrbsaNG0GmLhOPmUiK0sENP8wPl5IKUDUpGrMd\nE4GbHNOA41gomoJlmcm/A1doVNfV0XfAAKKJGJrq+4897PxHEQ6HWb58OQsXLmTatGkdXPF/BI7j\nMHv2bMrKypg2bdo/cZc/4F+FTinkjSuew3Ec9h+s41dP/IGyXqVUVNQxsF8Zo37Un14F2WQEfQR9\nKt8sX8W2La00t9azddc2ivv0Z2C/4fToVUy4cQ99BnZjd0UdlqXxycJPkbUgN82chezW48ouLU0t\nvP77P/LeghUcO3ogu3ZuIWaZWLbO6OE9+cVVM1j21WJKikbSvzSFeDRGNBLFdR3aLZv0nFQ0kSCg\nyKiSwn5D4qRTr2TM6GPQIk1cPPMqslI13Egzf5z/AXFZ45Lzj6YxGmDBZ7t48813aLdgUM9CMoM5\njDy6J/c/8lv+NP9efAT48MvVLP5yI2OGBfnD22vJysqjpCSHAaXd+XzxFwwYXEr54HKOOfooRHsL\nEp6ZlJ2MdDMNG8WnU1VbRywaoam1BVXXKSooIscfRE8PYcXjkOSSf6u0THazR3iJe4EQLqYskCWP\n++0YJiTpi54trd0hyJFl74bX1NyCi9MRmozjYksucnoabkoOZ5x1NXbC5s0X76a0IB1VsrFtKbne\nt4Ig27Y9NecRmZ54R5tHBDcDwiWR8A4+DcNAVgK0trfTrayUhOUddmol/9mjlX8U4XCYLVu28MIL\nLzBr1ix69OjxX77WdV327dtHZmYmfr+faDRKMBjEcRw0TaOyspIbbriBxx57jMLCwu/xU/yAvxed\nUsj3f/4Yaalp7Nl3kN59+hC14IvPv0b3+Rl91CDikTbAS0dXNRktRSBrfpRQFkbcJNxaieTKSEoA\nI2J53Ztw0dLSWbliA2/87j3ycoNYloumBRk+dCg/PmEUjhXH51NB92MJhY8XfslDc15H11RCwkTO\nSictLZ1QSgrRcAyfUPApgubGGrqXlJCZnsZHX6ziJ2edwXnn/YgXn3qcX1w5i6aKzVjtTWR0G8C2\nvTXkFaWx8pst3HHvs9x1w2WcfMYotm1aRWNVhBNP7MezLy7hhOOGkZIi8ehv3mHmzOsoTA3jhNK4\n8+b7OX7iKQzuW0J6Siptre28894C6quqGD6wF+PHHYMjLBTJQTgez1qWJFwBkqLiyhJ1jQ3EwhFC\nuo9oOEwgECArJwfLMAA6rGWPDGE+HOAgZJmEbSEcB9vwZtGHD9Nc2cuzNxJxIpEYkUgU3Z9CakoQ\nRxIEAgFkF4Tj4sgqn6/aRE1CcMctj6FofpYueho53kaK5nXuQvIokYdhmSaK+G5ItJRMBzry5mPZ\npseIwfNeUdQADU1NFHbriqtICCHjK/2/M1r5S7Btmw0bNjBlyhS2b9/+F1/z8ccfs3z5cmzbZtKk\nSaxcuZIuXbpQXl7+HWXmr3/9a2bMmPGDNe6/MTqlkDetegFcl4bmdvIygt6jf3oWl1x5M3OeepAt\nmzaTU5hLdjDF6wRdjaVLNrBrZyUrlq9E8qUj4ZCSInPOT08jJzeT7t1yMd0Y/oCOnhJkx6EoNbv3\no2o6qipRlB8gOyOIz+/DSNi0Oybvv7ecqiaDuupGfvOba5AcCzseR3YtXNsEScWwLLTUIIea2mmP\nO3TPDqHGEjjIzH1zJeXDu+J34hiqjEmA2Xc8SqqcwtjhvVmzdQfPPHsvRn01RiJKVZ1Fnz5ZbN3T\nxLtvL+S6W6dyy01P88hd07AJ8shDL7OropaJE0bRFt1PRkoKZ55xGrJjY6s6TQeryMjOxAq3E4lG\n0Pw+fKmpaI6NpqlJNpCErSq4hoGwXWKOiaOqLFm0iCEjRpAaCGAnWSKu42BbNm1J2bimacTjccCz\nitVUlaysLFzXJRwO09raghCQmhokOycPRdUwYgkkScYUeNa4ye567/4qVq3azBlnnEp1XR3r1q8j\nlJPK+KNHka5rRCNt3jgmedDpPR24iCNuLN64xejI5gSScW8miqJiGIZnnmVDTX0dZT17IGkKLlKn\nd+Stra28+uqrLFmyhK5duzJ69GjOOuusTtnLW2+9xeeff859991Henp6x425qqqK1157jX79+rF+\n/XrOOOMMunfvjuM43HnnnR0jmvXr1zNjxgzGjx/PbbfdRigU6pTP8QP+a3QOa+Wb5/D5/Kxdt5GV\n63dz8hmnsWHzdt780wKKc4toqqvn+OPHsWL5StKDPlIzAnTr0ZNhQ/uTmqoi+SBmWCBpSCa884cP\nqa9rQgvohFvDxMOQWZBL1y65jBg+iPrGajasWY+qpmAnTOoamhBaCvml3di2eSuz77ySOY/NJWYl\nsK0EGWlp+H06aaF0ZKGwdu0qXEmlqLiMkb278M5na3D9Ms1Vbfz8zFN5+49vUtJ/EJ9/sZrRI4dw\n/pST2LNnJ889+walufl06deVwqJcln25kdFHlbF45T4GDOnPN4s3cNWVpzOoZz433/kiv5w5jRRZ\nYfGSr9HTsuhd3BXVjpKZqhFPRFFlhYDPj6b7vUNF28ayDYxYlEQ0gmU5ROMJbEmgCIn0UCpoMoqi\nIvl91Bw4QFpaOrgOPl0H10XXdI8GiPeorcoeb1tWFBKOg7AsXBcURUaSBLZtIiSwHRdV0rAR4Do4\nsgqSoCUWpb6qmgMH9nPiSSdgtLYDno3u+oq9GOEYA3qUoesKrmMnY9zcDptXVXisGtdxMC0DSfLE\nQocTgSRJxjQtFEXGcR1cx0XV/NQ1NlDcowzTtpAkpdO9VuLxOIqiMGXKFObOnUtqaioVFRU8/fTT\npKenM3PmzO89Z/PFF19k9erVzJo1i+LiYgCuu+46zjvvPO6++25eeeUV3njjDc477zyuueYaTjzx\nRLp06cLYsWNZuHAhw4cPZ968eUyePJkuXbp8r3v/AX8dnVLI61bMxe/zsbdiL5lFuaxeuZaa+nYG\nDRjK5o1rOe+S84jW7UeRBJGIQVpGDm2JRkwyeOie37Fhyz4idgJFFkz9+emMHTWYngP7E401gGwQ\nSMg0R5qRhYoTbcRWFfS8Plx43vXkZ6dSVX2AcJvBKaeNZ/q0s1BpJNwqkVFYhI1BQ10VtW1tlBSV\nUl/VSE5GGgnXRg4FmTj2Aj764i1UJ861l1zLQ4/ej54Jc196n3ff+ZhzTxuO5EoMHHssC995l2tm\nXIo/mML2Tetobo2QVdyP5eu38eXitVwx/accNSqf37/5BSmyzuSTR2DF27CCGWzb1sBjDz/Fi8/f\njZNowbHi6LoPXBdZCI8r7g2MEcLBcW2SNitIQvLCGJKzTtOysB0bC5cVX6/iuOPGEY+EcW3QVB3b\nsTo6XiEEtkj6ByYZJbLsyQ1sx8bGTLoTSih6iLVrN1BQWkZqWhaP3vsrxo4ZyZCjRpEeTMWORnCF\nwHFdHNdBVmHd+o0cPe5Y4o2NKKqClcz8hOSNRJLA8TjkQlg4uEmWjfBUnknPFcsyEBI4jo0sBaip\nraVH397eDUlInX7YefDgQTIyMrj88su5++67CQQCVFRUUF5ezo033si1115Lt27dOmVvzzzzDI2N\njWiaxvHHH8/w4cOZNGkSo0aNYsKECfTt25fp06fTr18/Jk2axMiRI1m4cCHHHXccmqYxZ84cIpEI\ns2bN6pT9/4A/R6cIgizbQkgSuJChpHHC6OOIR6NgOWhDj+fSaXfTu3dX0lMDdOtWwCefvsT+/QlO\nPHE8V914Jnl+Cdf1oUip7N1Zz5Y1W3no3ic4/5zT6N67OxVGC9lBlYaWKHkZAQL+ENdffQ2PPX4v\nktGMK8Xo3qMHWAnqD+7DtOKk+3Ow2yqR1QAFhWU0t+3n2cdfYt/eKqacfQrpebk8Nudh7rz5EoLh\nOgzhoGdlkdO3nJOO/TG25fK7Vx4nR2sioKfSFrf4QjKQZYNotJpBR/Wgst7mupseZeXqzdx7x018\n9uF7LP3SJS2jB1N/MRE3WodlGiSaq+lfmsuD913Jnbfdzg033UBmfnfctiYc1wEkXAmE69ELHdcr\n5IosgfBSdVzAxVPvSZKEz+8nEo9RVlZGJJFAuC66P4CVsJAkweG7uZdeL0GSESKJ5BqOjYuDEJ4o\nx4xb+NJkWsNxtn1TyYYvXuLu2TcidIFsx0iEG1GFhnejcZElQThmUlPTRDxmIGSBYSY6Dlo7ZvbC\no0a6gCRAIHlrH3GjcRzvhuUecQirapp3TSUVop0N27a59dZbKSoq4re//S233XYbWVlZLFy4kD59\n+pCXl9dpe7vsssuA7yo7ZVnmtttuA2DTpk1Mnz6d3/zmNxx33HHs37+fZcuW0dzczBlnnMFVV12F\nbdvcd999TJw4kSFDhnTaZ/kBHjqlIz/09bOk+ANUVVWzbNNB4m0tnHTSOBwjwsGWZsIJk/RAgOZw\nCyWFhUSiMiWlxdQcPMiB/QdJCfko7pJNdl4aRqwd5FQkzccf31zIa699wviJx5MRMAgVdGPP1u34\nA6m89fsPGdingNz0LPIKi9m+ey2jhgxATw8hSUHa6ptpbaymJRymNWZS1LWM4h55lA/sx86t20k4\nNulZGZxwVDlmexOG5OPpee/zznsrufna8zl2XC8UU5DqqBiinZqGNhYt+oxpl17M8uXr2LxpN9U1\n9ew8UMvwgcX0LM7FtU3C4QibNu8hGle485ZryU33YblRHDuB7g+xc98Bvlm1Dsl2mHLWTxCS1DEz\n9uQx3iGl94+L69i4roWL5QUwSLKXz5mk99myyq7tm0jLyCAvMwdF0ZIWsd57CHFEJU0egB4OVHYA\nBxBCwbHBtOPImXk8eP8zXHflhQQ1mVi0FV3ziqywZSzHBllCVRWiMYNVG7cwYvRY3GgEnwa2ZSbN\nu5LjEsC1XYTrILC+nZ0fESzhOC5WUqUqSQJJ+Kmpq6Wsdy8sQEhyp49W/hLmz5/P4sWLGTJkCKec\ncgqZmZmduh/DMDj33HPZtWsXra2t3HvvvUyePLlDaRuJRPD7PW/7w66HGRkZHSKvcDjMJ598QkFB\nASNHjuy0z/EDOquQr3gev6ZTsW8/mysSjB5Wzkcf/ZEdFYfIK8oiL68ru3dUkp0RokfPAhZ9upiq\nqmaKCrPp3bcXOytqwYzjU21GH3scR/Xthz/TYunG3VRXmJhtO9i5eQeWPwNcm1WrtvHRx2+wavG7\nbF21ndyuAxlxwkgKc9M5WF1Jbb1FZqZC/25FoOjYrk2kudbz+LAEaWkZxMLtJByboB4iKgzabZ1p\n513HqRP6c/m5FxI32tH9CoolYcgWa9ZtQ01JZ+267egpEj+ffBYImz998C7N1a2cdfZPSE8LoAmV\nSLiFPS0Rvv5sORdN/TmJRDOBQIrXLasapuui+gPQ3o4reQIYBxcpWaC9DE6QXIFwBUJysOw4sf1V\nbQAAIABJREFUpmkgywpSkkniOi5CUVF8Ci3NTYSbWinsWozpeMEAh2mAjuPJ4XEOx615DoS2C47r\nHWhqkoyRsEAWSFlBYvWNqLIfyRXgGvh0BeMwVxzvCUH2qXy46Eu+XLyOnMxUrvvlpVhm5Ns1ZQnb\ndRDISMJFkRws08J13I4oOE8FKmOahscxFyBJAcKRMF2Ku2FaFkLu/Bn5X4JlWR3sG03T/uqTw44d\nOwAoKir6l8/SD3vduK7LiSeeyO23386oUaP+JstdgAULFvDmm28yd+7cH2xpOwmdk9m57GmEg5cn\nGcpkX8Uh+vftjiy7RNqaUTQ/QtKIt7cRbm9GhLLJzMlANi0wbFQdLCGRsGxqa+p46w+f0NjWQtT0\nHvtPnjiBrr16UloWYtniVezdvo1Lp5yNLZnUhyOs33yIZcs2YYXbGTP+GOqqqynMDtGjWwG9BnXH\nlG1kyyEcNWiL2xyqrMOwHJpaGlBFOh8t+hxFU7ngwsm89Os5PPjofYhoMzoykiujpgV48ME5zLji\nInQ5jhTK4KqLb+amW68nbsfZsHkjbqyVn517PnZLI65rIqk+PlnyKQcOmow+/kdk6BJFuVnYsQiS\nquPYLsIVuJKCKxxcbCSk744ckv7fkmshCxMcGzlpBSt1hDcILNtCUhS2bdrEwPJBGIaB5vdhGkZH\n54tL8jDR8Tp1vFn3YR66LMsosoJhJLxoNYQXIYeLKyULsyJjmXbS58XBkWxsoVNf08Jnny/i/PN/\nhmPEkRFICC+TVBFYjoMiCVzTQJJVJOFim4ZnNmYkELKE63gjJc/LRSMcMygq60E81oqi6Gjd/3MF\nQccffzxz585FCMGzzz7Lrbfe+r0yRQ4dOsTjjz/OsGHDmDhx4t+k8IzFYpx//vncfPPNDBs27HvY\n5Q84Ep2j7FzxAtFwFFyJqKbwh5fe4tobryLRWIvt86GlZyJkFUWVkR0Tp6WBWCIOpk2KomHKKcRd\nAweLlIAPW/Kh+oPYiRiGkWD5ynW8/dFa/KrLxjV7eOi+2ZTkBZE0OFBXx+btFezYVcmijz7hl1dM\npqahgeyCXoRkmzfnvc+YMb1Zt2UjNYcMcjJzOP/cU5BQMGMOPfsUEova9OvbA8duZOX6TRgxh2NG\nHo2qCiKRdlxfKvNeepUZl0zFiNTTKuv84tybee+dp0jYYZ574S1+fPokdm7dzHFjj8aJt2GbLpm5\n6WzZWsWjTz5Dj5Iu5HfrzfkXX4TU3oRiR3EFIDRcycXBSnqP0FF8HSEhXMdzDbQT2LaJJnsKScf2\nZuc43gzFVVU2rl7NoOHDUGVBJBpFU9UO6t+ROPyobSR56EfamB5+rZoMsXBcF0d43efhQi6EhGU5\naJqNrKUQDkfxBf04pkEsEiU1FCIWiaIqGglXoGdn4CRiEIuzb+duioqK8Pv0pFmWi+V4qk7btj1v\nFl8KLa0R8ouKQHZwXAn9P7SQL1++nKeffprXXnsN8NgvL7/8csdc+/vEjh07+Oijj1BVlbPPPpvc\n3Nz/9m+WLVtGJBJhzJgxHfP3H/CvRyeNVp4lEbF5990PaJPh0L4Il1xwDo0Nh3j77Y9JT3PIL8in\nubWNmppGuuTnMun0CZQUFeOXFRav2krFoX1s27ET2TFoj0L/PoVMGj+KgoIS/EWlXHzRLLrkZ3P6\n6RPYs3sVkaYIAodgaio9evYgq6CQLqk+5EiUuKywZNNW5v1+IQO6d2fMMaPJ7VNG17wAkt1ErKUO\nn5SCbKcQR+Ojz1bxo3EjUJUEfs2ksckgO70LtmtwoKaSG66dzW/nziHFJyHcBJvr6lg0/zOuvvx8\ncCKgZ/LMU69y7Kln8vl7b5GXk8Lxx44kmJqBwEZSdYTtsuVgEw8/9gIP3HkVxZlBhORDCD05WrE8\n3vaRcL0jTkm4uI6BZXlc8I5C7zhIskI8HEHVdBK2xYGDB+hSUEAoNRUreTBK8ujTcZwOe1nv7b0U\nn8OF/chLR0oejDqu60XMAUqSKui5LSo4GJiWC7JCONZKakoqft1PLBbHlxKgubGJ+e9/RF6XXLIy\n0zHCUbrk5VFUWIgsBJZpIMmAZHeMY1zXRVJ8tLRFKCorIxZrQ1V9nc4j/0fxX/mRHx61LFmy5Hvf\nU01NDQsWLODjjz9m3rx5/+3rt23bxpw5c3j66ae/h939AOgs06y1c6mvC/PuO59w/W1Xc+ftcyjr\n0ZO0TJVh5b0pzM8B18JUVWLtMaqramlsb2ftqk3kpKfQ1BSm/+Ce5Odm072wkNaWNiwkFi9fScXe\n/ezfuZt+g0YTSk/jjDOGo2sykhTAtSw0RcOJxYnHothuhJQUgaQHcOU0opKgYn81X37yNbv37MCK\n2mQEMxg4pJwfTxyPRgxdV9l7sIH5739O3349mDR+OGYigSwr2JaD7diEskPEGhqRJYHl2pgBH3ff\n/AB333kdwo0jyzoHGxL88cPPOXfKFOortrJqwzeUlQ1k1Kg+SLaJa4Ci+VB0DdOMYcajqKofgQ9X\nyLjYkFRmHi6sMi6uY4Ig6T0OjuvNZA8XZcvxDkh9ug9XkqioqCC/oAAZiYCqYyYSuFjexXFElubh\nzvswp/vIQu75h3suhS5guQ6uEF72pqR49EVVI2pLhBtbkWSJqgN7aao6BAKCoRANzU1kpGcwvLwc\n2a8jbM+O97AdgevYSHjsFxu7oxsHkBQfbe1Rinr1JhpuQtN8aCX/mR05eBmXL7zwAuCNLObPn88F\nF1wAwMsvvwx4nfqGDRvw+Xw8+OCDHYKuvwerVq3ipZdeoqioiAkTJrBixQr69OlDt27dKC0t/Y6q\nFzxHxt/97nds3LiRSy+9lPLy8r+a8PPyyy+j6zpTpkz5O7+BH/D3olMKedWKZ6k9WEtp36FY7bU0\nt8Z5f+FXKMEAeVkh9lUe4GBdI+3ROIGAzpDuxWSlpaGHAvQvH0BqZjpWuB1dEuiaQsRxEH4d25HZ\nuXM/flviQO1BevbrTVYq+LUglu1xn3EEuq6h+xSisShrNhxk244KGmoqkV2T7IIiRhwzjv6D+pBo\nq0GyJea9uZAt2/dyyRUzyA20YsZtghl5PPvya6Blc/nUCRjt7biODJKBnfCMpCRfgnY3neeef410\nGS46/wxiZgItNcCuQ6189N6XLP1iNT8eU86PzjqFJYu+YFCvXAaU90e3fWiajJqRQqS9FU1TkYSD\n68jYjoskS56K07JQdR92IoGuKd5MW5aIx6PU19aRGgqiqioJI4EjBJbj4rguiWgUIaA1nmD54mWM\n+tFxDCot85gueKn0tm3hJqmIkpCSgpyk/7VwESjggmnFUGUVCcmbW8uChOWgpmXz5WefEvLrtDQ3\n8fWqLTi2j4kTR5OXl0tAU8lICxKPh0nLzMRKWMimiWlb6LqKa5lYSVMtIVxEkk/u4LFoDjs72jbE\nEjY5+QUIFUD6j7axrays5PXXXwe8G+cNN9zwX77WMAwee+wxXNclEokAcOedd/5NKT67du3igw8+\noLi4mP3793PMMccwdOhQEokEN910E9OnT2f48OEdCtBAIMDUqVNJTU3lrbfeYsuWLRx99NH8+Mc/\n/i/XWLt2Le+++y733HPP3/kt/IC/B51SyNvWvcrmNStpxY+mpzK4bzeEAmvXbyEvPwcrkIbmC7F3\n/z4itQfJSMuktbqZ3Pw81m2rZPfBQ/QqziI7LUB7pA1dSmfV1xspHdSPqpZWbNVHiuXQUF9Hbl4O\nqSk6KVKMUGqQptYoze3NVFc3EAwUkJoZ4Jgxg0hNF2TpmcQVjQ/fX0BVfT0XXTCVwtwgkm1Q39zG\ngk+X0RYXXHzBWTjhZnSfxhvzN9O9KI2xg8sRWKC2YJs2rh5g+8GDPPviB5x31smMGNaf1tZ66hrq\naWnVuem2RxhzzACuvu58tq//gqbmEBNOOIZMGUzXRBEJXC2DOc/Mw0q0cdopEyguzALwmCC2jSUJ\nKisq0FSN7Owcoq2tuJKgtrEBhKCstAd+PN6+pKrYjk1TUzMZaWleB+f3Y1k2tpAxTZOvly6hX99+\ndMnJRLguQpa8zEyX74xRhBCexaysYtoW4CALBdu0UXUfpqaw82A1Sz9eSvmAXpQP6AOaguqA4lOw\nElEMCxTJyw7VFAnbdJCEgiq8w1hVVTCMOIc57Ic9y4WQOhKOEA62bSFciXjCJZiWgR7QQFH+owv5\n/xQzZ87sMBUbMGAAQgimT5/+F4v7YWXnvffey4svvsj8+fM588wzmTVrFueffz7p6em0tLQwfPhw\nbr31VqZOncqAAQM6/v7jjz/miy++YOzYsZx88sl/dU9jxoxh8uTJ/5LP/H8dnVPI1/6O1SuX0mPo\nWJ5/9lUG9i3mxAk/QlFUrJQi3n37T7z6yitMP/enHDWoL5m5qWzcs5t33/mYft0K6N+/FwN/NAYn\nGmfBWx/Se0Avvt68iUhCoXL7VgrSNM6cfgbde/fGNhxcJUAsbOIPhZAlCVULoWkWVngNOplEWwXR\n1jgaYUTIR1McCnscxWUX3sRFF5xBv5JsbKMVE5stlQ4zr72N66/8OeOGDSWze0/um30Ld8++iZaa\nPfh8PlzLwgilMP3c+/nd649B417ktAJm3ngv/Xp0YeSwwfQeMIR99e2s/mYZ55x9OtHWZv4fe+8Z\nZ1V5rv9/V919emdmGBh67yAogogKYgHE3mKwBVvQGCOJJWKN0RyNLfaCIGgUC0UiRUGKgPQqfZhe\n9+y22rN+L/bMiCcn56h/leSfXG9g9p691pr5rLmfe93PVfbt3MSQLt0QuorpVbnmuj9wz3130aVX\nB/auX0bXkvYkTDNpEub18v57cxk7diyKotBQVU27vHyE46D4vcTDzahuMrHHFg6uBKqmYVsWmqq1\nBBkrSeMpRSESjZJWUEDj0aPs2fsVPQcNQjVMnIQJkovm82BZFpqmIWwHTBs5oGC4Ak0N4AEUzUtY\nknn4/ocJpga58dYbSVRUEPJ6wbaQZQ+WGUPVQHE1bFUiasSSYx1vECNhIrfQKZPdttM20mkt5LKs\nYNtO8nskkbTWVXWawgZZuXmoXhWB9C8b9fZjQAjB5MmTSSQSXHfddXi9XgBOP/10nnzySRYvXsyA\nAQPYsWMHV155JSeffDJTp06lT58+9O3blwkTJrB69WqWLVvGTTfd9D/SEtevX8/jjz/OVVddxZgx\nY/7H6zhw4ABr167lwgsv/FF/3h8Lf/jDH5g8eTIdO3YE4KWXXuKyyy773hmmPySOj43t+lfY+uVG\nyuMydZWVDB1xMtt37ee5196nS9csenfvTEZqgJqy/UQaGrAMLz0G92LoCQPJCPppao4x/+25dO/V\nh1deeotrr/45m7fspN8ppxMMeQg3lPHxOytZs34LgZCfDiU9GNi/iFislkNH9lFTnSAeUSkqyqfs\n6FHSQoJefTpy0uCTcbxePl27kWXLNmBbNo1NYQYN6EG7giw0XaVT1+7ktivh/of+xPJPV5Gb147a\nylquvmISHYrT6VLSjeKiFAzV5OO3VnHDzecRiTSxav026urCnH36KHyOScKyCGRm8Nbbb5OVls6i\nhSu4+4E7CMkaMVll6bKd7Nm2netuvgLJrCEarkNxNCLxGHW1dTQ2NtBv2GC8SOiqlgwwlpLMEsWj\nJX29HYEiJznnbqvGx3bauL5CiBZVaFIdKVwXr8eDK+vMmTeXwUMGkeLxk5OdiS1sNE1LcrlxMWwL\nOZDJi6++ji4L0nWFxnAT/owsTjt9PKnBACIWTnqhqCqyECRFqQ6KqrJp4zZqGxvQ/D66d+5GStCH\nLLtIjtsSemGhKEnxDxxbyGUcx8V1bZCSnbktXBqa4hR1KEWSkxIpz79xR/6/oby8vG1xvOuuu1i3\nbh1NTU3079+fefPm4fF42LNnDxs3bmTWrFnMmDGDSCTCggULGDVqFIMHD/6HPiu2bXPo0CEee+wx\nJk6cyKmnnvp333Po0CHuvfde7r33XoqKin7Un/WHxNy5c1EU5RvGZ/v37+fdd9/l1ltvPY5XlsRx\nKeQNG15n4/ov6D/mLPYd3Mva5RvwKdC5cxd6DOyFKiwsM44HF4FDQliUHa5lxao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EWa8XuC2C7E4xbLNm7nyJ6DHNh3AN3nJbewO+vXrsGjqoSjzUSjca6+agrjRw0l3lyFzyPjuikI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\nz3jxLz9On+b/McrGjvjKK6/kA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RWZ0lHpYi1POf8cHnhwP8vLEw588y60zhBIqjIWRZXl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\nTMYThBR4rxBB4NHgGk29jpu1dmKaatUYvNevX4d1D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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# McCulloch-Pitts Neuron\n", "figs(\"mp-concrete\",\"mp-neuron-abstract\")" ] }, { "cell_type": "markdown", "id": "c6e03de7", "metadata": {}, "source": [ "(McCulloch-Pitts Neuron)\n", "\n", "Component-wise notation:\n", "\n", "$$ y = \\phi(\\sum_{j=1}^m w_j x_j+x_0) $$\n", "\n", "Vector notation:\n", "\n", "$$ y = \\phi(w\\cdot x + x_0) $$" ] }, { "cell_type": "markdown", "id": "0bb00199", "metadata": {}, "source": [ "(Multiple McCulloch-Pitts Neurons)\n", "\n", "Component-wise notation:\n", "\n", "$$ y_k = \\phi(\\sum_{j=1}^m w_{kj}x_j+x_0) $$\n", "\n", "Matrix notation:\n", "\n", "$$ y = \\phi(W \\cdot x + x_0) $$" ] }, { "cell_type": "markdown", "id": "8aef3756", "metadata": {}, "source": [ "(Rate Coding Justification)\n", "\n", "The original McCulloch-Pitts justification was a discrete time model. We can also take another view:\n", "\n", "- each input fires at some rat\n", "- the higher the firing rate, the higher the integrated voltage/current\n", "- integrated voltages increase the voltage at the trigger zone\n", "- below a some threshold, there is no spike output\n", "- above some threshold, the neuron fires as fast as possible\n", "- between the lower and upper thresholds, there is a smooth transition\n", "- the relationship between input frequencies and output frequencies is non-linear" ] }, { "cell_type": "markdown", "id": "1a5fda96", "metadata": {}, "source": [ "(Linear Threshold Unit)\n", "\n", "$\\phi(\\cdot)$ is some non-linearity.\n", "\n", "We commonly choose the _Heaviside function_:\n", "\n", "$$ H(x) = \\left\\lfloor x>0 \\right\\rfloor $$\n", "\n", "This gives rise to _linear threshold units_ or _linear threshold neurons_.\n", "\n" ] }, { "cell_type": "code", "execution_count": 269, "id": "e0a3a74e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def H(x): return 1.0*(x>=0.0)" ] }, { "cell_type": "markdown", "id": "efa0d5f6", "metadata": {}, "source": [ "(Linear Threshold Units)\n", "\n", "$$ f(x) = \\left\\lfloor \\sum_{j=1}^N w_j x_j > \\theta \\right\\rfloor $$\n", "$$ ~~~ = H(\\sum w_j x_j - \\theta) $$" ] }, { "cell_type": "markdown", "id": "f344a025", "metadata": {}, "source": [ "(Linear Threshold Units as Boolean Gates)\n", "\n", "The $x_j$ are assumed to be binary input values. What can we compute with LTUs?\n", "\n", "AND-gate\n", "\n", "$$ \\hbox{AND}(x_1,...,x_N) = \\left\\lfloor \\sum_{j=1}^N x_j \\geq N \\right\\rfloor $$\n", "\n", "OR-gate\n", "\n", "$$ \\hbox{OR}(x_1,...,x_N) = \\left\\lfloor \\sum_{j=1}^N x_j \\geq 1 \\right\\rfloor $$\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 270, "id": "81e25858", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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44q3HRk7rFji4/I18eSHfYSbiClFQFQUKGFogdszQgR8bq2zBMhR8SNGI1LYI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\nOf2clyKe20lBmAIf4zgb9sw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Je4JAEAgCQSAIBIEgMCUCIXZTApefBYEgEASCQBAIAkGg\nawiE2HXtjqQ9QSAIBIEgEASCQBCYEoEQuymBy8+CQBAIAkEgCASBINA1BELsunZH0p4gEASCQBAI\nAkEgCEyJQIjdlMDlZ0EgCASBIBAEgkAQ6BoCIXZduyNpTxAIAkEgCASBIBAEpkQgxG5K4PKzIBAE\ngkAQCAJBIAh0DYEQu67dkbQnCASBIBAEgkAQCAJTIhBiNyVw+VkQCAJBIAgEgSAQBLqGQIhd1+5I\n2hMEgkAQCAJBIAgEgSkRCLGbErj8LAgEgSAQBIJAEAgCXUMgxK5rdyTtCQJBIAgEgSAQBILAlAiE\n2E0JXH4WBIJAEAgCQSAIBIGuIRBi17U7kvYEgSAQBIJAEAgCQWBKBELspgQuPwsCQSAIBIEgEASC\nQNcQCLHr2h1Je4JAEAgCQSAIBIEgMCUCIXZTApefBYEgEASCQBAIAkGgawj8P4ipzx1A/YvEAAAA\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 270, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig(\"gates-1\")" ] }, { "cell_type": "markdown", "id": "718b46ec", "metadata": {}, "source": [ "(Negation)\n", "\n", "To build negation, we need _negative input weights_.\n", "\n", "This corresponds to _inhibitory synapses_.\n", "\n", "NAND-gate (and NOT gate):\n", "\n", "$$ \\hbox{NAND}(x_1,...,x_N) = \\left\\lfloor \\sum_{j=1}^N -1 \\cdot x_j > -N \\right\\rfloor $$\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 271, "id": "bc3cab1f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 271, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig(\"gates-2\")" ] }, { "cell_type": "markdown", "id": "d98b31d6", "metadata": {}, "source": [ "(Neural Networks as Logic Circuits)\n", "\n", "By setting the weights appropriately, we can create AND, OR, NAND, and NOT gates out of linear threshold units.\n", "\n", "Linear threshold units are one time step delay gates.\n", "\n", "Take together, this means we can build arbitrary computations out of these circuits." ] }, { "cell_type": "markdown", "id": "c58fdb03", "metadata": {}, "source": [ "# Computational Universality" ] }, { "cell_type": "markdown", "id": "f806693e", "metadata": {}, "source": [ "(Computational Universality)\n", "\n", "- Turing completeness: a system can emulate a Turing machine\n", "- Turing equivalence: a system can emulate and be emulated by a Turing machine\n", "- Computational universality: roughly equivalent to Turing equivalence, but may refer to slight modifications (e.g., circuit complexity)\n", "\n", "Are networks of neurons Turing equivalent?\n", "\n", "- simple answer: \"it's logic gates, so we can build a computer\"\n", "- but... it's sychronized in a particular way, so we have to show _something_\n", "- it's useful to construct this explicity\n", "\n", "http://en.wikipedia.org/wiki/Computational_universality" ] }, { "cell_type": "markdown", "id": "be077134", "metadata": {}, "source": [ "(Cellular Automata)\n", "\n", "- cellular automata are regular grids of processors with local connections.\n", "- updates are generally performed in parallel\n", "- cellular automata are discrete space, discrete time, and discrete value analogs of partial differential equations" ] }, { "cell_type": "markdown", "id": "94cede29", "metadata": {}, "source": [ "(3-Neighborhood 1D Cellular Automata)\n", "\n", "- Consider an infinite 1D array $x_i$ containing values in $\\{0,1\\}$.\n", "- The three-neighborhood of position $i$ consists of the values $x_{i-1}$, $x_i$ and $x_i+1$.\n", "- There are 8 possible values, from $000_2$ to $111_2$.\n", "- For each of these 8 possible values, we write down what the new value at position $i$ shall be at the next time step.\n", "- There are 8 binary choices, so there are a total of 256 different 3-neighborhood 1D cellular automata.\n", "- We list the 8 binary choices as a binary number and convert to decimal to get the \"rule number\"." ] }, { "cell_type": "markdown", "id": "64da70e9", "metadata": {}, "source": [ "(Rule 110)\n", "\n", "Rule 110 is the rule corresponding to choices $01101110$ for the 8 different outputs for inputs $111_2$ down to $000_2$.\n", "\n", "Rule 110 has been shown to be computationally universal by having disturbances (like particles in 1D) interact with each other.\n" ] }, { "cell_type": "code", "execution_count": 272, "id": "5593d95d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 272, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# example output from Rule 110\n", "fig(\"r110-example\")" ] }, { "cell_type": "code", "execution_count": 273, "id": "7348062f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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cq0PNpnZNR0IljGZN87XJBXuYFicSCEAAAhBYg8DAHuanDP1aev3A43WwmYvI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\nmzqee511bfbZrhujz93qNaO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"text/plain": [ "" ] }, "execution_count": 273, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# interacting \"particles\" in Rule 110\n", "fig(\"r110-interactions\")" ] }, { "cell_type": "markdown", "id": "ac98f26c", "metadata": {}, "source": [ "(Tag Systems for Turing Equivalence)\n", "\n", "- consider a FIFO or a string\n", "- a tag system consists of rules that match and delete at the beginning of the string and conditionally append to the end of the string\n", "- tag systems are computationally universal\n", "- Rule 110 can be transformed into a tag system\n", "- therefore, showing that neural networks can implement Rule 110 shows that they are Turing equivalent\n" ] }, { "cell_type": "markdown", "id": "d6690239", "metadata": {}, "source": [ "(Tag Systems and Rule 110 Example)\n", "\n", "http://uncomp.uwe.ac.uk/genaro/rule110/ctsRule110.html\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 285, "id": "3817f934", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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okVeWpTJL6OVHH43fqV3XspJtO+zUtUnj5uCHfs2a9Z2RuyJU+INvDhs2dPbs\nn3nEH5iEbGzUrdVRKbNW5v+YoecpQAKUBv3gILLPPvtwxo3qEFqIKBKJeCYcStBmeWnzRx5+0rQU\nrQmy9GcEE7FoCnqDEsx4hbHNsP03edJUpdIfZs3epvl277/38fjxE8AVGyW8wk7Tjju2hWYw4LMv\nA8ZIo7CybYQSj8KKUovYQIEAtzQGbnFiPeOMM0ijymOM4SmDAvA6m7jrRFMsgEDUSkaTYjyChIJB\nApMk2Jvz+lw//PA9VdJlLYwBAJtaKCTzlBfpgubbd1rXEdEc1FOm28RPP0gk6XL8P7fdBKlwgMZl\neQP+kkMPOWr6NPqYwRpx6WUXUmDsq883alyy6y4dmjdrce/QUatAWzqDleXzSZMxJIDVqpVBxVXV\n8kxS5gQAVKfSkuKyz2bnC02AhGgNzjPqBaKFs3fDH/QPw4Ze9AJj7YAD+3Xu0olNycFnn2MKxIfd\nfbsqD2yqFPkrBux/+PSp3wPVzTfedv01t2SSmZef/yDg2arrbj1hR4899gS1KWUyZKR1XufBmd3E\ncFlu/iKhaDKeCtUKbdTWMClgAvoHr+CPPupfHGCmTvlyqyZNQ0GK8Sjcs2cnVA0X6pzLatWqybnn\nnmbyE9dcfeXl/7yC8scPOmubrXfYq8+Axo22njH9W/Rm+sjeIgpct2679ejRnQ01/HOBjUegS/EA\numwOrLYTSAXcoqyjx/BU+5XF2ubxnxj9nMvBwF+GAeWn3LHl0ijsDwlHAsmnMODtpTxIbS2aqbKE\nIGM8gi/E4qHf58+BoRPKYe5vC1Ysr16+rKq6CrVAeBJl2OlHppJYsUJ4cT7ntadrA3YZUNeoDQZK\n17A9HHLIIfYjZffkI5bAAI63ui9mF3j77XebNm22YnmVzWQPOvCIJ594xhQgaCySRjpIF7jWbvR/\n7hHwAJuNJa1ZZafWCfOigKwgjYrJlePRAg/5XNiTcA+kmIpGLNUonYzR8hULFiyZvrLmu1B0sRHq\n6fnzVn01/WfpCgaWFBqAqHfBoEpHXjeyS5QVka92p4w2mLtsOZSX11BJ4GetOWfOHDX4oXTVBlck\nU0KlMUQ50MHwRV5IetnSypraVbFEVTpDARlZBYOlrSZMIL7SLl267rzzru3bdxw2bLjiGUdINiB2\n263zdtu1xF+VwuoYju8kziWQjaoduADj6Um16O6kGXcwjPUObyfSWBB6HkwAACAASURBVBzx7wb5\nnAdhAQDYPLXxwMxavlwCMLIvx+4AG1h+X7Eur+8edgcdcBdYeIxktyckrEjFHXfcRXl7jtgJmrDT\nFICGIQDNMXJaFCCDEdoXcciuJZCi+gBOjq5kTPlDPZr6+QxBo+IwBVaTPElE0OIzMdBmCGP54nDN\nquTSJQsWLZqDOU9ntDZtd1ATgAE8pOk+dxw7TNVauymSp7WsXFEjP+WCjQSnTZ+0YuViLZCICeHF\nZYxT0XBMMlOZJOOJXbM2E6TWWOazj+bUrMjM/PbnxYsX6lijtHHBtTCVgfBffvlVcI4PTgzizjVt\nuk5VCWZPOsM2E/cagVMpCVBVWYHa+YtGwqK3BWuJPykFamoIO2kXyKo1kbDonVIvrSQz8XDmt19q\nvvtmAWkhPW3azNOffvph7tw5K1YsY2bxt2zZEpgtRkRmKAAzQzHvgQ7tjsa5Uc2PiaAKmeJrM7lL\nHJt8jdVJOxjYeBhQHocJl8mguyRMdZazcGf0ejvTBoDyavfWHHgf1mmmFkZsdtzxmW/cuGlhoDga\nFX9e2PcJJxxLnIsCjzjEQdjsHBm3D9lEgKlpuyTM9orYZhtqO9aAJFH2FU6kgm13hTvguwcweDUC\nCfmAwUKH3S7eQmiZ7Y9qzC3mJQI0JX1eWZwtXxbeqimmeKuk1Fq5qrpJU4l/RT12zXAT4pDZuGqQ\nBMOBvUQxphWCKPiaHncihz4CAHfAtjkafWekgEddeUA+MpU7+WYUuEqaNWs8aNBRGPKpJJ7M+Dzl\n1ZXx8jIDv3hZYidPJ1OE16xt3Kgx6gswMPRqfTHyEjcF/2o+CvkdXn0r4H9GBb2gXR0mRbW5s9GD\nl6UnmSjDdygWtqZ9uaRP3+bhiIUnVSKJu0+uC+5kJFYDfqKRVEU5h1Ciuv8CKtDeSsuKW7Zoya5B\nAKcEy0LbpqGlS5dDtyyFwSfHkThbxGkgGoUywTmSgzuKm+5jKrkakGSvBP9WoRjjp4yVjjp5BL2h\nISGHyGRjLhSMEGpE8IbrUNKKRInY4WdTEs/mSDSMu0kkGmEGmXchTtkzwGWK+UVVqn2SoCqbJNDF\ndb+PkowLZbgYYO5mw0WmgKHMrIHBAC/9xXjjsiS2TePGZWyMLJwfO+Lwfzzw4L07dWjZqLEZ2Yx1\n0omXnTP41G67ty8q8d3877so3Gzrctl+DEncJuwEnOxlpqiCYuaRaCokAE/TMrXTsQK38VyxgAGQ\n2DM2m0vCBNDaJGFIjm9KxL0eSMdjpf2REKaFug2aWLzSzdZomvhpZdUr0+WlnomfzL/yimtgOG+9\nO0w0QBcHg0GUH48fOshAMBx0tqiwxMDZv7gY8GSsZNsrJtvWJDCTJOKk0z4/AZygeQOMfYmrDRd3\n1JZIoBC8ua0Mf7kSJFzWqpXBxk1KWBrgNWVBCWlPMm5BmUKQRdZPP6/46utpg447CJsve7IZS9x1\nUeMaN5YQULiNcwIOqmBKMmS6AmFTjJNiTPx8Dpwb0KxzcR6UmzjpqCybeAD+TzVvuK0LUa1sjr5r\nDgmV+igluvXATxVa5JBQVwbeNTJMBCerN/zTZEYm0TyyWMT1wghODxPb8EqRiPAy9AD4rGoPmsMd\nTtdQyAda3UpXzq4aGAzXdg3hiOknn3xCr4GcpafPG6Cb+/XbB+99o1AZRp9KegoAyZ1J46BneQqs\nuOF0fo5KUMYl3gwse3hRWzH8JdfzP90TKmcs1tDhVM/TurVTmlbWls/gdPh0La6Kiw1RbU0Ev51G\njbwSWz4VKiqUPrLol7FLEBUjSQxYepdI4hBqlMtEHF8H87rs/StIQGckYlb22JVnEw2ksmhtkBz0\nZgtpnCg5YpLO4HtQnjauxJ13OZLjykPvvoXY8SiUKMyMER4sLjcHRlJpK+22EKviXYEyysENgK4N\n1paWcFIGZ0l/MBQsKUYBlbEDA2De58dbPIGywkEeDg3ppFDkq9ZCSegZ+jdaYKqmtqq8TMKrhCNh\nZKSRLuJLy5lbtrFMiLUyxBIUyDGiU085q6TYL+SUMALbZcXi+Ioy1q5YPOL1sS2D6MMWEoMs+WyR\nIiF/6HWgdYg1XyHkzgWi0inxB6dmM14oRqhBAYwMFA74C4NBVDe/3yczl0GPhC2/x/rXP+9mR+nC\ni48Fobi64tfx04/Rk04+7vMvXs24LFRxrbOqMlhWXqJkTlv01CZRW6aiaIIc3bg0SyBkM2sYxLvR\nV9AvVORnYDIyUpWVwdKyIuIm4iCEWwnuN1aSvU6BjnmHJoFiYa8F0DZeHPPuY48802yrVtdde/2u\nnYsrq6xAWbqwSOZsKp3CPwYAeIv1g7jRgEoqTdUxJVlEmcoZa+AsKZWjTytXsAiREaznkq2p5KqV\nKxo3acZeUmFhUSiYKi4Wf2Ti+tbFyWPKxMVIlklZs2fH2Pt+5523Znz1JXpMr967jxhxI8Mhf1xy\nZz3A/EvgRReJRlFSoU/oHCfCtQHA6IIHFegVysxbXq5dctPkKNk5dwcDfw0GdMuZttTiQgLGyt3e\nlbDzbXjgmLBL+yd8UNLpTCScUPsnjiysa2PRjHEREW8DyRf3Q2pOxBPYWmU9wQwkU22e8Fa7wgZJ\nAKRpUaw7+dDSqO55sfC1+wh4CqTJSVVWLU+msPcmkHDyKJb5YvIPu3TY55dZQWzRWH/Jye2bCLBg\nDL8W6epqf3+qH2tAPmfOHKpTjIErsMelDZBJB+0+kq/vau/0FUqqe0TWt8DY2HXjXnbnzX6KqQ2/\nGcGYDqUxUNNK2PguxFkuhyM13NUAbjaMcpdtcs8ZwOse/YkUiFVqpA46ogZzHVkyItGaUFgGKJ3I\njHxsQrdOJ9x89ash9iJixusCC70Y0hEMuIBElQLJZfcBUjUG/3Ayze4JiTgjngXTwM82Cj85+ax+\nM3YPVBiv0SF8jagBX67cXfZl8OStK8YeVTAWp1Q68964j/v2PnDShNm6T1K9KiNbbWZ2GKwKtuPJ\nao5BKZLJpRf0nVmmQ2kPaA4PUoCnXHYOHjD82dXSZVOhbGGwhyvkYQiAjc2g2euY+MGvXTocvHR+\nJgYV695INHP7DS/+5/pnZeQFvIRs0CjZpMT9QiG2R4efAADJQX5ZhqAlsrNe+mUAgBfIrJfLoBrM\nKJyc5lOilJ0snUnaHH2JZPDMmf9TZsTt73fvNHDwaTd9NXUeE5RRTpqdQXYzzZalvKZ+ZiQUaTk4\nhar1Ajw2cWLR2gSbN7qVI7TCQMRWm750MfcXDdFGRuid7aFq+FpuOzKRqeW4fSQTq8z89l3m8Xu+\nG3Li8513OLPzTsdcdsG9774+c85PEVqIhoRjyFtmf8rMwRQHy2m9ugZ6TRiYs5fNGJVN6arDfkqi\njmvl5266tCxzncvBwF+DAVtRUL3EviPOAcB2Z2GSa0l4oopDniIjlUWieCjfwdWR40I6LYUNGb4j\nLrkwlIjZS0ZTMZxd99epRGvTeuya/3zfqVBVMeFbec4ENk/XXXYawj2Cu/J3zA+msArzuOEpqWBt\nlkO988aXfXoeO3sW29SmiGG4dEoddamEfYdsn7Oc70/1QxkTaAf56qcCftZQH81qUuSJfdX7Uysx\nEBrlkgRjkcpUs8UPJ41l3n7taxgr4Ks7pOorcpcLrwg4LC/iQBhR3YV0IimS3nB8LZZFiKJFW2mQ\nu6optmKdJRgRUQKScSXGdUK8LlYszFxx0aje3c569L7xorXgqWC0BP1Tf3AwEAzxikjQVKaGP1VZ\ntBdZ3dpgNKvbSe3iraJ9UfRSCTmkc9jmKcBEK6twceAkUBi6EJpSb3S8giAhA4bW/9nEr3dp33/i\nh3MUf+KcgeQWB1upJxpTNTGaxqVE/FGkaXtY7TlCDjDYs9IGjxyhCPPHaBK8xKiYAh49NZXLjiEr\nCkEOMjiRWbYos+uOB/88M6TwoLUwtulwZtd2Ry37PSPrC0GIwRg6AisQo8TkN63YUBg0X5Fma9W5\nOaXUUne3HYyk+zmwswmdYkAYz1QvzVx36ct7d/vnv859YfY3AouMYSq7IgJNNA07Mk3L/DVqt7he\n5UYh648FKszQiGrI/ir3JIMFT4qa9UY+AFJN7g+WBq5YqKiGowmqiWVmTlv58PC3zzzh9u4dT9q7\n+wVXnPfSW8+vXDZHIMTbRjQivKdDRtdBz4MgectchrVmG0BfselKn+ZPc6U97jCBPJLL1rM5/Ods\nDG0a45bT6p/BAFsnekYPUcZ+QQH++BjJQ2wVuYwfiLGFspOSTsUTITbsjfuhMc5uJpe9OW1strp7\nbYB2R8KpwoAXqzgW5icef+elF1979tlHm24txmox7Ju9rOrqUHmFxh7VzW/t1ebUwdXxDH9nR4Me\nhUMWm3UnHPevn39ceO211x9+RIfsLoDsi+FshNsB8TZSGLf5cwlCRBRiV2CQPfgoZS91AWiwTbH/\nRhQ6QJTKa9G4R2CT/+7b6jtuux+Py+uuv6LvXluHY1ZRsewLADubBeLcasY3lY4rlZq2+JYT5+GN\nj4VsXGZ8uMZuwCU7GqZaHXF9V9PmblOX1pmxvpj8+6CBJ41+dmSfvq1rg1Yp30I2EwSsa2k2JUEw\nCNdwrBs8WdakZwUPZYajMpymlhkaDRNrRAA69piL+u9/4KmnHuxlh8RlhYNWUaE15rkvCAI58pkb\npU+yZcOnDamEPZ1C6U4W2vXGkURmsz1F2I6McVTYI9tLbkBKp1xuF9F0DA8xLj4MEyqmx+1a+Ls1\nbOhD4z+exCmtCy8c1HQrxZLBB0TH3cWBc8DDyySf/HQaMsoczqfLlKMd2SACpXjwMJ3xE8p6oZEB\n3eglABh/lPwr7SdsjQ4qHjY//5zmqDxB3n7+5YdtWzTbtXOHffbt1a17pyYKG2TGrly+T4y+SYV2\nYr3RtkUUdFSWLWKYHCBXwwCRu8RhJW9aVleF8Uobcu5FL7zwPJHEcXuADSRS+BNkkIWeAjzrNieJ\nviaLtzUPN9tbfl9BNCL8HV+Whx8a+/H4jx5/4v6mW4kEx1kHZ554ApdDI9Dlqnt3c6USIEwYt1Ni\n4RQgOeDY06dWPnD/E9/N/P68888+dlAv/FhFDhuXCHFZEXVTzEj8lPhmMpis4RN4qebGUaRHXnqj\ndl1AMw0Yb4zsRaZbtc141Hr9ta+ffmpUux1bn3/BOTu299siFsGFF0tJCR+uowuifvE2ktw4ahCK\nPyf2Nky62PAoKPoyCMlR+FoqC3DO+y118CEH3jvi7gP6dwEqcbbwgmTcqGXljBUDpVBVFvRLdZjN\n6+x/S9ZDzzJkyHlUh3jMFfDLhMSL5ZWXxxNGeeTTw0CR8cq1cA+Czk895Yqzzz6zX/8djXLAi0Re\nwYUIra5MBn+D5q7xkcKlJpnCa4c4AoxaVoWqqqmpKONrSsa7xQBo3PMFjNm/LL/n7kenT/v2+ONO\nOe64gxs1NvGEQK1iVxNCdBITllPA4hWbGzUQKHW50jklWz4SKV4tkiue435vMeUphqIqL5ormcA9\nVnQN8V0TG09uxyNVMG3KEo7UsUvIWSROJ/Tqtcc++/Zt36FZk6ZytkB0XZkgxNeJe7w6C4z/ch0V\nCZnlXWsRxobR2+qVbepfjsqyqUfAaX/DMYCXnAo24QKyRnHDpMKh9AXnX7ZHz95DhhxDlYRuYvGU\nSMH70l6P8b3ffC7hZjaLgb/YLIZzBGIy4k8sSZa1YoV155134xfy4IO34juJ/x2vci6gPq1lc+rg\naqjmlFAkmggHvPgbequqgqUlFTgkcsxh3m+JEcOfmDjhCz4QeMmlhxLnMxixSrAB5JCDRBGN04OL\np4hVs37VSxPKeklv7L7rGBnJZB9CsayqqkhFufluMEpA0hp6x0vvvTtp7336XHb5McSXZ7xkHS9O\nqdILdQY3NYj0gnL5J0fINhj2fIKhbX1/rVqUxgxs6aQVrLV++HHuRRddMPTuOwjyYR+cEeANFnPB\n5tkNEHVKstb/stuSqpSY5W7OBYpix/TkjxDwXbv0/uDDce07lOnJPmkhaf0wK8xnHD797HkJfiuD\nybtYWTgDhURHZalTDtYLIoAxH4jQk1wYkELhKo6byRcALA4W4TAbgPzEdxVPYcwYPwVvv/UedmyP\nOOqA004/qrBYLJqUFbUSeGQEFeFG29DO5VOfgclstcieGrYq2zpIvrH/8o4xu+HmLJ711EPEWnkr\nVEsMG4GWufDdzPjECZM++2zy7F9/7NhpB6wpe+3da5ddWpdLsG4FwyRWv4y6Y3nEfKWBMe2RsMvR\nbm6CrDZMa1a1pfx2VJYtZaQcOPMwYOYeZlj27+ERctDGHAVcscw66MDDXnnl1RYtiUEtrCLj4sQj\nZTezjaE1B1MZIcssWZ7pthcsHq7KAQF+Hn/cpe3a7XTFlYNhcPDTmtp0WZmboym5VXo+H12z6s3g\nNwEvqvwebySWLPRzUobxKKiqqqkor4hFrFTcWrncembUO0S/PeigAy665NjyRiyO5WSHrEgpqtIT\nwZ+K8oXA1bvz16gsit6cMV93CJT7G4GUSifYzvMVFPkKrO+/tUaPfn761x8MPu/kQw/dl408Mfwb\nCSfjpeAr1CLn+JOvY9qnk9Z7sHJCtO6FtVQWfaQzxdAS33qaMuUXvsD19MinevZsJ8dPisyBO2M8\nQrQDUS6kck7IrSdAddhY/YUMX9uJlZWKDaC2xjrxhMGDBp5w3PF7ccYKnYCRhQA4PXTDdSMLi91X\nXnOSkIYix8WRH+wZ/CZcvRwo27DLaC2qLIJzxb8EbUpz5NhQlfn7dOLskU+PJsjKheddfuSRuxWj\nK2u/XWhX0eKSgFFWGHcTk1dsMxyHNoDYcOaBJQNt4CQhZhfzU3OyLWphHZG4YH76tMWfT5724Qef\nLFq4tPX2O+6zz359+uzVuo2roqloIUL5WWxAJ7iRiVIiupFEGEDpoWPZbholT+kzy0lycCmgudHU\nYeLZhuIzr5ubPOmoLJt8CBwANhwDWRZpT9QCIiiwUmHZdMdtzxLN6fEnrueDPH4JtKBuBHqwdsMb\n+mvfyJqpdScePiPxyOXrPKwFjzj87COPPPScwYcrI8PorZLGcJ98PmVe27wuWK18scXw8IKq6hqs\nLKmUS8PPCPQw24y1dJF1/4jREz+ZQXS1y686devm2RO5uBrwppz0zvJZldbaQ7uzG7XXwK/yIC8w\njABDp5KxREzM/pYXgSJApOUk7Vdfz7vl1hs5IHrttdd269ZKJLQ3t+GVEvllYrhLF1iac9eAKBs4\naOBh/XqtEppv9VUTwtia+sVsvj7JJ6N7994RyQpsUJQaXYyole9sM0zrW/m6gDYzlLiPRYUFVZXp\nigr3o4+8/tGH418YM1wnZiTC8d1AuNbKJKy9+h7/+lvPtGpTUNch0RXEPipeIxuussg8Mr5E/Mnp\n7rjMo2KzD8VKgJ/jx0/jI6k4F595xtkDB+1NPptWmCsYJvQb+QKjjA4eKMpo6nZzpIpc9BQqF1yZ\nYDYyqLk79cOIVFmhDKaUUhgRXXFZVZXW119XTvz04y++mEJ4ty677dq9e5d999unY8fGmE5NdCJV\n6SmcxOHZeMDUZ/FSM51btaT86W/AyEJDQueMo7IoWpy7g4FNhIGcx1lWljDT+ToYMoPdeGwq/fqd\nfsUVlx34t50Nc0zHE8RB2cx8WeqUjDWlDgGpMGLrAQ0Cz+C6H4t4inyu6ipr0KDzDj/ioHPPO0wD\nbGRX7XWCXAdjzQo30RCt0Ww6HJGvGZQSxiS7kjXmB5eEixAvioyxiaWtRfOt8R/PvOXWf+9/wF4D\nBx7Tp++2ysQjUYn5UVq24QvuBug/kBnDPrLTvkRuiR5mMvhyjYeovgTMEf9oxL4RWqNHfzRs2DCi\nn1155SWNm7CLZFU0MsWNmwN/BDTJ1ZATKnUNNGRKDjxnXH6fpT5SkybNHnzOkIceeqRv3zYAg6SE\nogImkBqHXDD5/FmVReU3PchpS9OnzT3llDMmT/oISw+qtlvsOim+h0iBh+6d+P13P9z/yDlCF2qF\nyuoJ7A2Bn9W8RtYPKTJeqyorGzdqRv249zIW/OH6jVrw4otTR416Gu+iM886bZ99d9bgv6Li0HRO\n7SCcvZevdmb11DXG3dZfBW+gDE9e+0XdzJW+oWcbLRd2BDY/eLdy8qQvx4//eFXlsk47tx8woF+f\nvj22295iE0pMMlBCTkXkZ1JixMXNF4jAiIugNdiH2KrDrsJHlnx+vpZo0GC2q8QrimnkXiPElE1X\nijDlCZsnZ1AIN+Ru1DXncjCwRWFAjkHi3EDoDmJ4mOOv5JgDihwFfPPlWQP2PZtTgiuWaXQEDhnK\nNvNmcwGMHrzMg0pPPMrhST3EK1FATHALDoBmiGBBMIZvv4zs1+e0cW/OlK4t5aCtHgfVbtlHJDWx\n2fTVACIh+U0HOZeuh7ThwvzZ8TY49V1TzflPKRziIHA08/h9Uw/oc/HfD75q7JgZJmaNGV/tshn9\nv/Syz6NKq/ah2RT6Jb8x1ZvzrnKWNZnmWC9H7TML52ap8drLH+6+6xHD73wZ4qzlqCkFTUfkFLT0\nR85yNzR91kcMBALRdhKZSE1m/Hu/9Oo+8IO3f9A4+4RLkYP3Zk4ZuPMoc70QbbdoSiu6iMRvjt1y\nuH1AvxPeGPtFPETUAcmprZZTvsHqOLO1f+/Lf5gm01YKS7uCPfkz+JSfGzzcvBisDRFNQOI21XI+\nmeO+wczIh6d373Ta2SeN+PCt+aFVEmGF+DrZgZAmEtEIoVPkqwv8RcFRFhU63HlnkgVIDpbXEmjG\nlDHey/FMJChH3yUjmlk8N/PO2HlXXfz8/r0va9fiyFMH3vTgsDd/+LomXptJhjLhqiwepIt1Y6WR\nWEyWBGdKB2sicfPJKv2ToFO5NM1RQE61k6OTQu9awAyCueqjhLqnW2TK2RjaEP3OKbt5YSC74pHl\nTsaPEVf2hsxC7eSTr+3Rc7cLLjwaJ1yWMeYQKYU37lp2vXGzzrU1wT9w0oSRYBYGYnw6MU4Q256z\n29WVVnm59d13VYMGncgysdvuTTE8SERvyomhhd7pIjH/VIuBiOysJUYBVMOApv+qhRenRSLiislJ\nZ7ny4dH4xQI1gCWS6YjHXRKp9RCdn4Mk778/67nnRxPSFIvLGWf0z3Y222W77/our6+xmqyvp3XY\n0PL2W4qQ+u5CXTmws84NvAWdeVhM43CjPraozoya28Wq1+9KY+WXzQgesTHx00/BJ598cty4d558\n6vHWrVty7oPL3tqrc0SV7NVpQ9slWzBmdydv1GzA6gDXYqthg+ApngI5Pe73F7ADAkhYHcZ//DMR\n6G+//fb99msrpc1CPxsPF8tB/lWHNHGnMAd5co/raI+UWf7bj0jwxeOYNWz4yKXLFt497Grdeamp\nTZVVSCzXeNj6+YfoBedd/e64YQG8bDlxUwD2CqyU6aCYGOwu55rLPqgPFfIoiz2ZR36+vSxGDsLX\n3nXHmLGvvNm9+x4XX3whX/3jFHqWExhCkuFNy+eWxGhhvpfllePX7ngs7pOtZa02tzdkeievqKuK\necxvHINiUWvCJ1O/nDpj8uSpNdWhjh13PmD/Ab1779lqO8t8EcFcNukyt81hJfGzqbOX8JO6OVIn\nTrx6gTRsrhLyGpzJYeksva2GZy2ceyXbULaCNXD4V035bOsN/5+jsjQ8Tp0a/yoM2HKaBjEyi2Nd\nKCib1gsXWP326//ZZx9s1dRKorMU8FEVCntEPBTIEUfi0vFB4jzZ+RdPbG3uD9iHDU+2JJ+OI+Z5\nsNr6ZtrKK6+47omnHtypvRWJWYUlytxjqXSE2OGpRCEHKcVxFf5lCw/QY9gZmwCGresDsgDgD2D4\nq4axrh0FD7lFArkou0UY9qdMnv/qK+M+nfj5FVdc+beDd2J7JYmPgok9H43zWQakDXs0sDIEZIrY\n8G7j5kr4VD4DaOo2Pc3/Vot0WlVYGlobA2vl2AiT2uyhWaOYjVv8pzjjJGgWVyQjxysrrXlz519w\nwUWdOnUaPHhI167bSq4WYGPBAEi0NnMWOgbBol4E/OXm4KuAbxxIE5y8QQVi14bYH/q63PXKiitg\nULcbco0OopCbSgwN6GYW+YLbLyYvHDTwtNHPjOnTp3FtyColejsVI8VzeiQ7JtRAX8wuJId48S/h\nQiHL1SyY5nOCnD+X6EcsG3JHdSKxoMfv8k6fmhpy8QkffzqGTxTEUiGfRMIHPwUugqMkrauvemub\nlkXnXdTP7aN3IT7c6KJyemAD7AZgaNsNbcsQW0RI48sIab/swFEPGaA6S9zJZMTj5eWiRNAN2pct\ntZ544qVx48bxHWO2gTp0KswiIYsKRUgWfygraAayKSYjxyC7CLDmFffpumIYxhgKiEu/2wBy5i+w\npk//5vPPJ387c8biJQv23rtv12677rVXn3Y7NqEaHGxp0fZbyrbEf9nBqsvIIyrNXIsC88uunV6N\nPtd+/P9VjqOy/H81nP/HOmMLCfoNG/CIjwve/iY41b33vDb/9yV33TkY9zicENwFbI17sN+jssB3\n6r5MVMfr85G3gSxj4+Kdj8+FCuTzQ/5UTFaDr4/96eqrbpgwcQwh5mDaPAlFVvoDbnNyKrug2zJV\nFsUjUoqI5QROD3gLSkSApa3lS+Vg0bBhj3z11Yy/H33IJZcejo8kI8tfKMwXbQjOlvSY7+PEIhJI\nvrBYvuSymnqh8TDqhLcaDCiTP9YNM+4q/Kia8KOEN1S9AbLk/NcLYz68/bah++23/803/Qtn2OyB\nHQbVyFGCNSeSoVJOe+PEgKuHFUBrsQ057D9g6jcaaZ46YtOeUPLqSryqLCrPsh1lFoBeuhngeBC4\nnfebdfBBA+8dMfyA/tugkkBO4taNcQJ/Dm+GQ3kc+I2qPQ8xbhFIjYsoOvkqS4QWCJvHl3ninADy\nMwThZLKmuLh59ULr8EOvuPE/5+/3t1ahWMjljRT6AtF4otDXoSPh2wAAIABJREFUCBNLzXLrgP3P\nf+v9+1u2saqCv1eUlmSsIsK1ZJVqKgVMUVkS6Qyx6ORLjVzSe3OJ15c44OCgQzxi/JwkjXctj6uW\nWzffNGrS5PEHHtTvxJMGtu/oI1c+MGSMJkTxNTYVsV7gPWsU3DThU/AXkXQG+0rK7SoADxxowiEX\naw16WCH0Zo5GL1qQnjzp+xnTv5s2fSpxbzt32Rm/K2y6zbeRccaR2T7jZpQ/XGgZmIahKwH6//zl\nqCz/50lgC0bAGiqLcDhhG5zaiFpEIOvb5+Qbrr+l/4HbwWA10oSGoxZ/T/kcsUZNyF/0rGsBvWlx\nJN1kQRkJpYtL+CqeSLfRT8x4/tlXXx57M4LYE0j7ClNx8yFJuLEv4Kd3tpxS0OW3iLT6MLZpO7fu\n1lFA6aycUQd484eAX7mSQDXD3n///eOPP/6kk05o0qRAdsdEDsnxEERR3dHQNWo25vecEcKI/OxV\nnzhZE33rhvIPn8jBYcwdtGYqhCwRgXhS33//o2++8fYpp5x23pAjlWaj8WQiGSwrU40zGYpWFUuw\n2AQqhGU1ykYEQQS6Exz3ZumeNaJQqQ1q3fgqTGY6aAEtI784PCwWKXVrxVoQrCEsyqqLLrpo6N23\n9txzOzk6JCY64E6YUDogV7J4ga/qBALSRva4r1KU2SkD97xT4PJJjMdAzkk5bl3zz2e8npIbbzsK\nS6cnAPDycR7iAfL5AStR+OoLM8eN++CJZy5FAasNLi0tRVHDH1WBzzO0mC4wuPzpKblwKMEqpAj1\nBigTScxqVI07TkmR67dfiL445s23Xj7r7JNOOe2IxuzBqcKggBulJ2tHkSM5qrvwkQQ+3MiSgLgp\nhBgwezBs3PCxRjBG/zLWgt+tyZNmT5gwadb3P/GdhIMO3adzl52I8LZ9a9mm0fi5uj9Ic0qKgJrN\nyXXI+b9BMOCoLA2CRqeSTYUBWwYrZxKVRf322cP+6MNZI+598JWx98vuSY6z5MQ2XwkmCsUau/L0\nQhffOXa/qbq1RruEtaiOyDpSelHt9ZQjeq66YvRvv/323Jjr3P7c8UjechFfI1Hg4du88kMXqpoy\nVSq6tHYV1fUJbH2+qe65ETQ6logwZID49yAqvS5RRn3WiuWZ4fc8OO7dj/rtN+CCCwa3amnGlxW2\nx2Lfj3R1dU15hcaky3Uj64aSi7Eh4ry+vtsiM7/7KvD+J4RAjVgsMOxBa8gw2bg00cNmzlwyfPjw\nOXPmXn311fvu29nEOSPiDloLxEpk1FqvBIEFWl8qU55Jsh8kq3xXAfQZy1NZctYOhS0LJy/al+kj\nGfI+KV7XnSM5sC2nUYjX4iNey6LTzzjl6ZGP9+y5PbuNgWI0m1gCBSPt9nmKU2kX9oc8ha+Oruz5\ngjaJvlJaJDsp1assgut88uE3I+556v77h2+7vTTNXl40YZXQOS4qSFv77HHy8PtGdOleYfZ8UKTM\n3q48VSrNqT4Z4uClSkokDEmEb4plMkWFxmHLhO9DQ+UoENtAixcm/3PLiK+nzz3hhIHnXtBHItFi\nIDK7h2jz0Rj6ls/n96eSfP8h4XZ5fIGs1xdf5GHGiK7GkW/MKpBQgcXnBRYuiE/4ZPLnn385Y/pM\nv6+4e7eee++97557tmlFd0x8FrpM62YTUi5OXUGojLIMtOkHNIuaxS0X7SZb0vnvz2DAUVn+DPac\ndzc5BmwZrIs+j5jiYe/wzSqrvIzoVVf27Nnzwov+DueSM88ScQFvXdap/Efs0dwBRe1HlqdTVf4q\nfFP3Ec+bsLFpi5FcZBiOCDVV8bIS37ln3ldcXHLbnafBmsUbtxiFJiTCTy5bIyGhoqw+CV1XclN3\n027fRGsViI1kVDcOIxo5moOvgUT0QtB63BLx4rnRE4bd/dD++xx66qkn9ujFJpHsIlQ0wdkjHY0E\nA+zEaC0SQVUFud7X0lfq1VRskBR/G4Ah9hzYdMh9ViZXuYjYAk47JyvKRR7jszlp0oyhd93Ttk3n\nwYMH79q5lH0ZdAN2u4wzb7rAFchkPCgWGl1QDEgF2F3iWNYMLEqlq2stijd5avdXjBBZ2LMd4ZF5\nywAm8VpKrKlT5543xMRr6dsmHK80aoG4p1AA0RsTka97bVozb2r9wODhtFdZSRFRAef/FmvZwo+/\nyryfrWMGHvrEU/fu2qNttmnzxi8/Wju2F2vTzJm/X3HZjR99+iQGF8uNjSldiLlMJ7GbnaZ4Bs8Y\naT3PcWf1MeK70CXF2DT4zFP6gfsf/eqrr84485QzzuzNNA+UCA658MfPupKYjvNJeJxiDDwFybgZ\nHliF+MaIIldTYy1eYk354tsPPxw3+9ef6PSAA/ffvUfnHj26Nd/GhF8xlaCpoIFKaN3cJYbP+igE\nfaXOW7auuJP6UxhwVJY/hT7n5c0AA6q1ZLmdHIvweXUtDi9evrzm9NMGP/3Us23ayCdATATuNJ8F\n9uqOvf21EboB0xG+g1rAtXmpLLpKrqldUVZezFeRzUEGDOWeVNQadOw17dp2vO2OE7FOE3SKw8KB\nQmXKykTXUFy2BK0lJw3lfxlVDt7IH8trD/7FaZwuCVgj3qPsHKHccP7lycemjxo1ukXLra686pJd\nuxTKWQyPmOtNTLA8yc3AZtfx9ZHt6hJxtRL1CaT6qrDzpFHZqMo5XqhyIF9AlO/xiXkAyafnp6qr\nMqNGPj/25Xd77THgmmtOwo9Fvq1I/Bqkqflog76bpU8XBpiwdD9rJeK5UV/WAD4LsLq2mDL1FZBD\n5mkXx4gkXovPmvTZnMHnnPfQI8P77N1eNMWUtWqlRUQZmg6Gg2xKGh1CemZMNWqPJEcqX7k42rg0\n0GHH43bp0POVsZf885KxO+xUNuTyAyxPJBmN19YkGzVqwktHHXTvYYcddfo521184eN79Ox17HE7\n460kHxVKu41rvOm1GydfNDNRhoyvMWaSuE+2qFx8zgm8oS6IXk742k/mDL3zgeVLwxecf/HRx7QX\nx3rcfHhUkE4mw3Jaq0DULLANJmXGm48rQTaicIAQgvNWWvPnWe+9+/lXM77/+ecfy8qL8Erp07dn\nj54tm21jXIk1rJxxSUaJERWkbg65TchgE07OhJphUPhaELvPWHFEVbKvDaafvHed5OoYcFQWhyK2\ndAzYKoscUsRwEqyNlpQEcMRDccEIf8P1Dwa8zc499+gKeCaM0EtwuZAJvQrvMfFMlZvDVoSzoLJQ\noYqEzQYzGeJmVlY00khksuQlgHdhUREcvCDjPXDf64495vizhnQEdF+R7au7BvB0lj96qAl9quKc\n9LpUmU2EAVu+yohkx5ewFdForKjQfCePywxc9iCx11q1IvbR+9NGj3otVOO68MJLDz+iufQJqafK\npwSA5zKe2FzZatfR6/qku3l9/a8sYo3vlIg0hBoqFz5UaAnQnu39vWxZZbOty7EJLlwQGXH7xK+n\nLTnj9HOOPa6Q8zcIQ5WyBMjVHRCJg+qS0B8mIurqA7oGzNk+2ttAhp5tvKkEzVI75JT0+wpBM4rL\nlMmyUfXQQ3e13aEFp5fOOnPESaf8vc/eLUsgPTHy2fRDB/OUezSCpOfVZxbccv3TyUhRpw5dCrzJ\n0S8emPBZ3ooqiw8pF5SkQsUMRYeW1/kLmh9y+D4fffjGpM+vdhda7hK2VGI+DrXnpiH+OhKYBWUF\n/YBovIJ1sSyCEdHh6HfGennMpCefGIVF7Zprrtpn3zaotqLFGcOVOMCiu2RiLhOpLxqN+P1YY/D2\nMupPWtSUWd8nP/lk4hdTvqysrAwUufbet2uPnlhTOlTYH/QRLxlRjAhly+fiS0pzMQzRXNypcLTa\n63V7RTni0oFQWlp9fpmNITagfXjbOFcDYcBRWRoIkU41fyUGbCVDGlWRRoJcF6HY/BghEALV0fKy\nACyM5332OG7kyGd27eIRN0Dx/IjgTyg8UVjh2ioLVW1OVhYRXogHdyaJX23u4IMrEouHvJ6AO1NS\ntdjab58Lb7n90kOOaB1LJf2FrAd1zYfhhe4pfpSxrtEvG3X69K8cwj9oC6jE3wIdRTxY5IwIYSqM\n5MLbICpHMDignvXHFCmOYAgTeNZKeZJRa9LEFcOHPVJVGTzl1BNOPWOXrOJC/1ROa7NZ08vGEiTh\ncLCwsFBhVpVFm62trS3lmJC50Ga44wkeiVYVBmKRmLcw03jqJOuWmx4NFKUvu+rYPfoY+cm5/Rp6\nLW4TbN8UFDKmfC/Q+GhkLzN2tspiTw15rpRDAjTlPl+sb/GU0MPpEEeEY4mE31sWCXFgRo79fPLx\noovPv/S50WOW/G5d9s+hBf7qad/ejOKAhyu+INJuVu2z6UrUl0yo8JKz3xn3+px4qLC4sDzjCp5w\n+p77H+HtuVdjy29OZ7sa863DNk1v9Lt28KK/uUJbt/AWli+/7PqD9+vfWfb5FHKIlz/AM3e3hzc5\nLuyO1kp0EzZxnhn1AcpK69Ztzz138B59m0t4GwNUJBxGiectOTaoXz0k35hYxN8laH379exJn86Y\n8vk3c+fwQZ+2fM1nt912a9++ZJtWBj2GFlCJoCsutffILrOEdJL8eDzuRU8hUHOGTyjLwibJt5Q5\n8iw7RvIyUWvZucS6gomF7hHfhUxekeqcq+Ew4KgsDYdLp6a/DAP1qyzafE765jggIvu9t+fed99D\nL71yB3644gmJ620q4ZF1mTGYr8nl+b1ZqSzwx1pZaKY5XGr6KF2sEV0kU5qMFcDt58+1/jbg1JGj\nHu3eW85zJiMW/gTRUCpQhmdEOhap9RcVcYzTg5lbvDrscWJ1KjWaOB8bS35vOFHw4Z4av5jBGAVj\n5TexxTT6htSm8GdFsg6eeG4ShjYeJ9yO+EZ+/P4vr7z0/tczfj75pNOPPKpLs+YWPjDG6CJSnEOz\n5tty/OZSnIoOkZ/D+V5EkNlA5DK2mQ24snWu3xvpYCRYXFgWCboCPjEijBw54emnHuvcederLr+i\nOQFcUlb7tscVFnmmTH0m0AhDQmWBp4hzL34/5371DC3tcFis7miSoKhOZQEYVVnyNBujspgPJtve\nuH4UAkR7sd/6aoo16KjrvJkda2sT5U3jd9937j5/s3zloA5XKlQfr/gUJyVCIxGMvWK7SFqxwq7b\n3bpq2daNy3aoqqkhgktJk6UR9ye/LHo9Ea/yFjIoRZW/u3t0/HfA1YkaIrFVxRW1rsCvNw8bePjA\nXqlEtMBbFKq0CN/CgCxYYB3Q7/hRox/p2aeUn9GV8j2Bh0Z8+fToxzp36Xj+Bed06VGUpVmhXAlK\nxDEf45VcyDEo2UjkqHOl9c03Nd9+++37778z+9cfuu2+8+49du7avVP33buUqme2jhI6GCuBeK3x\nfJIrgXaS/aAlu5CcKoJa8EyS72+jiHg8BXrmCArh6JP5QHT2isaiAX+AfLbb0F3QcvjOFK/I8enc\nFqEcWTL6t6nKw3eO0G71fc3Rt+w68xNKotTApRXax+kpRib3rHJvflKV3+w+kqakVqVEzk+aAzwy\nJQKN16v3etvdrDIdlWWzGg4HmPXDgMopyqr0ykodW06srrXwffaYNWjg9QOPO/TvR/fEy6E2FCot\n5dgG5dc+cEGmyd+MRDibGsTDIIJVRbajhk2LnMgUy1FMGDVfhZ0SH3zOBQ8+enP3rs1w4STuhY+Y\nJjwVv11OrAa9MC85vZlTTQR1m6nKwolaYGMTQBx3vFj1CbuSc0HQETfA5zwq3NFwWuSNS6LmI1pE\nrKbckVqCqyYee+SZn3+ewzeijx6473ZtBIvRaDJQlLXzs2/DMpm6YrGYz0ekQQKciQ6LPJBNCXPF\n4jG/D0eKHN4097/cbVJco1y9+TQpPhA4hmIjRJcuLnKvXJ4ePeqlRx8cOfisK/vttfffj7yC4GnN\ntvG9Me66IowvwCJBXFJ+CaOH1pKRL2Ozq2Hr3zQL+KKUQCfc/6vK4qWXXqKfENCtyvrmC+vKi5/7\ndU6m3Ncskvi9Q1f3u5NOwwkkYdUExNahwRjFmZ0gchwmSoUzC2cXHLbv8FRsh5Xh6qbFZb7CcKsd\n3c+9MtAvliHRFCOVkeplpYf3u69qadNk2hW3qps2CV927ZEnDWnDh4BcXl+wKl5SXBSulFHt1+/G\nuXOW3XHXjQNPasanE18dM3fobQ/87ZB99+jVeeDJrbIKpJwVyhSVir4tDrBmfBbMr/r5x4UTP5z1\n46z5337zXbdu3Xr13qNrt1169y0Mhix/ke2bYgbCzAVR5UVwI8HFXwqR7xG7DahEOKKp4Ost9hVB\nqFE1OHOEsxQFfT6v2v54kxdxsBLLiiuNFmK+pYVWl0ApMYQk5xNVRahzbxIIsheEp+oF9eT05rzH\neUmKia5dUKAahqosqqxQytZX7DcEJIZ/Nc8avlMdKpZza3KpNvPHjea1v+mTjsqy6cfAgWCDMVC/\nykI1KhJyCocW455k9zp26mnHffDRWPisfgFORBeLv3ouVVnqebCJsrCyhIx2lXPjAA7hqOTxCIMR\nC10xLbz3zm9D73xo9NN3NmtiPXDf58Pvu3n2wnfEVI5IlIXcav0S27tcwtE2MysLcLJ8ldBeCphR\nLCRUhlxZsElRTIebNMhh0HEcYR0sn33x+QxHNiL8t9mhhx54cuKEL/bZe8A5Z5+8QzvZ2QjHksXF\nMvqhUAyBlPM2kDpBGPIAAz+RUCmAwd9TgAzbIJVFGs8DT3+ucbeBFzBraqJlbPzgnRPLflcZz2Lk\n93VXvjj5oxVVy/3xaLrVdhWtd/SMfPGo6rhV1kT0TxP1X9Cl1JDVR21EicoiWxgGeOObypX3lH02\ndtXQkpC5ybi/tLiY70KcfepN300J1ayoaFbaMxhO1abmlZQse+rFC3rtW+YuTAdrOWPfiHPmoYho\nCYVF6VTC7UlZw2+a/tQjX8UjRZHY8oJAzWlnHXrtrV1REMWpFg9WA+C8H6yDet+ZiW9T4HMXlsWP\n+Ee3627vQug4qyCSirHFEkjWWnN+sk454fZVKxjvRn336tGuk+e55x867OAjTz35gLvuGv32uFcv\nv2rI+ZfsLyHv1DaRtggJPWN6+J1x73755RQ0rubbNN137/06dNipR88WRSXirhsz54aywfcNBhhj\ngJfhlcPVDDdKiaotjLv4/RAkx+PFix8rRRFnpNkRi8fEFMEr8slugvAZ45Ta6VRhyp0bki99SoQk\n8czlyLQ3EiXUocaoXpMMbMOGncgz9a1ZWH+Hw+Ei9r/Ea0fMM/oib4mSrQqUKadKDDk80qeqDFHM\nnGWTi2LaHDmqCW0R21iOylI/ZTi5mzUGlO0qiKvJMBvqnIA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LyS7JuQJZdgnb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RxSUIgmZGM+EZarX2QpxEhHLSIT6xOIxpyTFyOzcNR7D+CkvBFaHAl6Upz/SCuKAyJ1mBn2cu8L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eNhtiW984B4BS3nQ3FyzbxyYOXAoTiwe0fk+rnQHCAuoRBbW4KVWCfrk3pkLklH5DnXQJf4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\nQLSAdCoMW+xWF198MY+WPGstZ1nquhSBG2z91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"text/plain": [ "" ] }, "execution_count": 285, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig(\"rule110-construction\")" ] }, { "cell_type": "code", "execution_count": 287, "id": "56a68e08", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WkZaWJp2zbdu2REZGUlVVxcCBA2nYsCGurq5kZmYyf/58srOzadOmDfn5+Vy/fp1PPvmE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AoLC6PGxkaysbEhX19fmjJlCkmlUsrLy6OKigqqqamhP/74g2pqaqimpoZOnDhB1tbWtGbN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\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Y2FgmTDZv3jxYWFjAw8MDJiYmEAgE2L9/Pw4ePIjQ0FCGBZfLhb29PQoKCvDx40fk5eV9\nhVNhYSFUVVVRUFCAqqoqODg4MKaGSCRiruru7u6YMmUKpkyZAicnJwiFQvzxxx+4fPkyVq9ejfHj\nxzOcWlpaYGpmils3CgAJ8P33+2GXOwHR+euwL3MvPvT1YXbQLKRtTGP92LlzJ3R0dGBlZQV1dXWM\nHDkSERERiIyMZO/Y3NwMoi/2aNevX4eDgwOSk5MxdepU9o6fP3/G1atX4erqyvpz8OBBDA4OsvjM\nzs7G4cOHsXDhQjg5ObF4/Pvvv+Hg4MD6dP36dcZ7v3//PkaOHImUlBRWHLNz506EhobCw8ODPevx\n48ews7Njao9STXzp4WNBQQFWr14NdXV1xmAxNjaGu7s7LCwscPPmTZSWlkJPTw8FBQUoLCzE9u3b\n4ePjw/rV0dEBfX191m+pjILUKEMqgGZoaMjSPcPDw5gyZQo2btyIrVu3YurUqbCxsUF+fj46Oztx\n/vx5uLu7s/c4fvw4Ro0ahXnz5qGtrQ0FBQU4cuQIO9hNTU2FnJwcfHx8IBaL4e3tDWtra6irq+OX\nX37Bv/71LwCAvb09Y4xI+//27VtoamqioKAA/f39mDt3LjtstLa2ZucnVlZWTGH09OnTUFRURE5O\nDo4ePYrQ0FA2twDAgwcPYGtry+4vX74MRUVFJCYmgsfjoaCgAElJSVBRUQGXy8WiRYugp6cHDw8P\nGBkZQVZWFjt37kRGRgamTZuG/Px8bNmyBZMmTWKYSNk8/+PNKaSXl5cXIiIioKKiwooJ3r59iyNH\njsDPzw9aWlr49OkTurq6UFlZCW1tbXayvW7dOgiFQgBgKx9tbW388MMPrGhGTU2N5dJyc3MhFAqx\ne/duuLm5QVNTE729vXjz5g3++usv6OjoAPiS+tmzZw9rW8pmkU68UoqRlpYWRowYgW3btjFDAyUl\nJXR0dDBtEW1tbfT396Onp4dxZKW/tMHBwex94uLimNxncnIyk+FUVlYGl8vFH3/8gaioKGhpaUFH\nRwc9PT149+4djh8/Dm1tbZaaOX/+POv3o0ePmLHEf67MNTU1MWHCBCxZsoQV4kj1SqSejTo6Ovj8\n+TM6OztRWlrK2hwaGkJaWhqEQiEkEgmysrKYD+nx48ehpKSE48ePs22oFCctLS3s2LEDTk5ODKfO\nzk7cunUL8fHxDKfe3l4mFyvNmc+ZM4c5yUjpkkKhEElJSbC3t4eMjAyUlJXA43Jx+eoVRC1bBve3\ngVC2UcbQkBhv371Df/9npn2RlZUFAwMDiMVi9sMsFApZxa+1tTWTkwUANTU1RtHMzc1lcXbx4kW2\n+1BTU8PIkSOxZcsWPHnyBBoaGkhKSmI4SQ0JRo4cyeKTw+FARUUFPB4P2dnZ7ABYqk9jZGTE0jC3\nb9+GUCiEkZERhEIhsrOzoaamBg6Hw2Qnjh07hp9//hlCoRC9vb3w8vKClpYWent70dnZiUePHkFP\nT499xy1btjDnIen/BAYGgoigo6ODsLAwTJ48GTIyMix9UlJSgg0bNsDe3h5isRiJiYkwNDTE58+f\n0d3djefPn0MoFOLDhw+QSj9Ji5l0dHTYylzK3LGyssKaNWtgYWHBWFHl5eVQU1NDb28v3r59i1On\nTrH4O3jwIJMTWLx4MbS1tZleOgDG5tLS0sLYsWOxbNkyaGpqQk5ODvLy8mhvb8ePP/6IgIAAtLW1\nISsrCxMnTmSxIHXCSk5OhlAoxODgIHbt2gUFBQXo6Ojg8OHDjGEj/XZHjhzBTz/9hBEjRmDv3r3w\n9PSEUChkxXJ3795lc8vAwAC2b9/O2j5+/Djk5eXZj62Ojg6jVUvPB/7p9V/1ACUicnJyov3791NG\nRgZ5eXnRpEmTSFNTk27fvk35+fm0cuVK+uabb+ju3bv0/PlzcnR0pJEjR1JUVBSVl5cTEdGCBQso\nLi6OfvjhByorK6OKigr69OkTNTY2Unp6OikrK9Py5cspKCiIenp66Nq1a9TZ2UlhYWGUnp5Op06d\nora2NvL09GTKdsXFxTQwMEBBQUG0YsUKysjIoOLiYrp9+zZ1dHRQbW0t5eTkEIfDofXrFrHmnQAA\nIABJREFU19PUqVMpICCAQkJC6PXr15SamkrFxcW0dOlS8vf3p76+PioqKiI9PT0aPXo0LV++nOTl\n5UlbW5uWL19OK1asoIkTJ1J1dTV1dHRQWVkZdXd3U0REBBkbG9PMmTOpubmZjh07RitXrqQLFy5Q\nVFQUicVi8vf3JzU1NZo9ezY9ffqUPn36RBMnTqTY2FiaM2cOlZaW0qFDhyg/P5+eP39Ot2/fpnfv\n3tH+/fspKyuLxo0bR97e3qShoUEPHz6kGzduUEJCAiUmJtKff/5J9fX15OzsTCNGjKDIyEh6+vQp\nAaCQkBCKi4ujnJwcKi0tpZKSEurp6aGAgAAiInrz5g01NTXRwYMHicvlUnJyMnl7e9OMGTMoNDSU\n2traKCkpicrKymjJkiXk5+dHQ0NDVFxcTCNGjCBra2tavnw5KSkpkY6ODsXFxVF8fDxNnTqVqqur\n6d27d1RcXEw9PT0UviiSTMx1KcDPn0oaqqlAUkre9iL6885tqiotoxdtL+jjh4+0fPlyevToETk7\nO5OOjg6JRCIqKiqi4eFhGj9+PK1YsYJmzJhBRUVFZGhoSMHBweTr60sXL16khQsX0rVr1+jAgQNU\nVFREt2/fps7OTqqrq6OjR48SANq4cSOJxWJavnw5FRUVEYfDodDQUFq+fDkdPXqUSktLqby8nD5/\n/kwNDQ2Unp5OioqKFBMTQ+bm5vTkyRNaunQp1dbWUmNjIxUXF1Nubi5VV1eThYUFRUdHU0VFBdXW\n1lJHRwe1trbSxo0bSVVVlSIiIigwMJA6OzspOjqaCgsLKT4+njZt2kTnzp2jlpYWcnd3J01NTYqI\niKCioiIKCQmhyspK6u/vp/Xr11NmZibFxsbS8+fPqaGhgXJzc2lwcJAmT55MTk5ONGbMGPrll1+o\no6OD1q9fTxkZGdTZ2Uk+Pj4kKytLRUVF9OnTJ1JRUSE+n08cDocuX75M6enpVFxcTJcuXaL6+nqq\nq6ujU6dO0eDgIO3atYsiIiJoypQplJiYSD///DOFh4fTqVOnKDExkfr7+9k88eTJE7p164v65cDA\nAKmoqFB0dDTdvXuXDA0Nqa2tjdzc3CghIYE6OjooMzOTtm/fThMmTKApU6aQpqYmXbt2jSQSCZmb\nm1N/fz/NmjWLxYKxsTHz8uVyubR48WKKi4ujAwcOUFVVFVVXV9OHDx+oubmZNm3aRGpqahQdHU2B\ngYHU1dVF165do7dv31J4eDht3ryZzpw5Qy9fviR3d3dSU1OjyMhIKikpoYGBAZo/fz719vYSEZGn\npyfFx8dTTU0NNTU10c2bN2lgYIAA/DP/z39Pqv+1SywWw97eHnPnzsWUKVMwevRoaGtro7CwEAUF\nBVi7di08PDxQWFjIaGe6urooLCwEAOZQfu/ePWRkZLDT/dTUVAgEAsYs4PP52LhxI1Nhi4+Ph42N\nDRwdHVFYWIjh4WHU1NTA0NAQhYWFGBoawoEDB8DhcHDv3j0cP36c8Yt37tzJHOvV1NSYa0tUVBQc\nHR1ZG5WVldi/fz+cnZ3x4MEDZrmmrq6O+/fvs0MqDoeDwsJCxMbGQlVVFTweD4sXL4alpSXGjBkD\nfX19KCoq4ocffsD333+PadOmwcrKimFw69YtWFtbs37n5eWBz+fjwYMHTJVORkYGp0+fhqOjIwwM\nDCArKwtHR0cEBQXBx8cHo0ePhlAoxP3795GXl4fVq1fDzc2Ntfn69Wvo6emhsLAQg4OD2L59O4iI\n5Uilh8Xr169nImSjRo2CQCBgOKmqqmL16tWIiYmBk5MTjIyMUFhYiGfPniE7O/srnLq7uxlOw8PD\nCA0NZThFR0ez3dbChQthZWUFBwcHGBiYQVFFHj8e+wkZ2Xug0+kBa2trBAQEMCG2wsJCyMvL4/Ll\nywxDaepHXl4e9+/fR0VFBcNdR0cHtra2zHW+sLAQP//8M2NK7d69G4qKijAzM2OxIBaLsXjxYgwO\nDjJqojQ+pTilpKRAIBCwXZOsrCw2btyIVatWwdXVFWZmZrh37x5evXqFlJQUKCsro76+Hjt37mQr\n+m+//RYqKirMX1LKrlq7di3L48bHx8PFxYXh2tLSAgMDAxQWFjJTlunTp+PevXts1SxVEyQiTJs2\nDZ6envD09GRCVr///jsWLlzI7NyWLFny1Th69+4duFwuhEIhw+z8+fOMOpuVlQUdHR3mpGNgYICo\nqCgsWLCAtaOjowMbGxs2Tnbt2oXh4WEWnw8ePIBE8kVjnf6tuCgt27e2tmZjxt7eHvPnz8e0adMY\n/VD6v5aWlujv78eVK1fY+AGAo0ePQk9PDzExMVBUVERhYSG+++47dsaxdu1aKCsrM89gGZkvHrBJ\nSUng8XhYvnw5bGxs4OzszOL3xYsXMDQ0xP379yGRSFhtRmFhIczNzTF16lSMHj2aOUJNnz4dY8eO\nZdrm/+Nz5lItEGNjYwBAR0cHvL29YWxszHLmXC4XxsbGiIqKgoeHB4iImRffvHkTq1atgrGxMeOU\ntrS04PTp0zA2Nsbg4CB6e3tx6NAh1mZeXh6MjY1hYmICiUQCc3NzJCcnw8rKClwulxkLnzt3DkuX\nLmWmEm/fvkVjYyOys7NhbGwMiUTC9CKMjY0xPDyMx48fw9TUFGZmZixnLi2PnzhxIkJCQqCoqAgl\nJSXm5LJv3z4m2NTT04P29nbcvXsXZmZmEIvF6OvrQ1JSEntmVlYWeDwejIyMWM5cujVTVFTE7t27\nMX78eHC5XGhra7OD18TERBgbG6Ovrw8dHR0oLCxkuH/48AFTpkxhmIWFhbECqNjYWLi7u4PP50NV\nVZW5H8XHx8PY2BgjR45ER0cHWlpakJubCxMTEwBghV5S3RCpOfHw8DAePHgAY2NjmJmZsZw5l8uF\nvr4+JkyYgLCwMKioqDA51qamJmRlZcHHx4fh9PLlS9y7d4/h1N/fj9Wrv4GRqTEwCKR8vxljWvzg\n4+OD7777Ds+ePYOSkhJ+++038Pl8plmiqamJzZs3s8IODQ0NRnlVV1cHAPT19SEnJ4eJSb179465\nxZibmzNXpjNnzsDc3Bzr16+HWCxmMrBmZmZf4fTLL78wnD5+/IgDBw6w73v16lUmA3Hu3DkMDg6i\ns7OTfStpHJ49exbm5uYAvlQ0ZmZmsr74+vqiqqoKJiYm8PT0hLGxMRITE1kuWU1NDfLy8jA2Noa6\nujoMDAzg4eGBkJAQGBsb4+PHj3jz5g0aGhpgbGyMoaEhDA0NYfHixWwcxcXFoaioCHw+H/Hx8dDX\n14eHhwcWLVqE9+/f46effsLJkyeZ89Lr169RU1OD3bt3w8zMjP1gnz9/HqampgCAZ8+eseIliUQC\nMzMzHDlyBEpKSlBQUGBic0pKSlBSUkJFRQXS09Ph6uqKBw8esDy+FLPbt2+zcf769Wt4eXnBxMQE\nz58/ZyX+wJfiphEjRkBLSwubNm2Cs7MzW/CZmJhAV1eXfbuzZ88yDD59+oTvv/+efZtLly7B2NiY\nxbmRkRFLA0pxl/rVRkREYOTIkdDT08O7d+8gIyODWbNmITs7G3V1dSwepASAfzqZ/9fSLBwOh7hc\nLkkkEnJ3d6fQ0FAyMTGh3t5eSktLo7S0NAoODqaqqirq6+uj+/fv08ePH8nf3588PT1p0qRJVFhY\nSC9evKDU1FQ6deoUbdy4kT5//kx+fn6krKxMc+fOpYqKCmppaaGZM2fS5cuXqa6ujsaOHUvGxsa0\nYMECIiKqrq6mt2/f0qJFi8jR0ZGCgoLo1atXdPLkSVq3bh1du3aNli1bRsPDwzRnzhxSU1MjHx8f\nKi8vp87OTvL19aWFCxfS7NmzqaysjE6cOEFXrlyhyspKun37NgGg9PR06u3tJQ8PDwoMDCRDQ0Mq\nKiqiO3fuUHJyMqWkpNDVq1eptbWV3NzcSE9Pj8LCwqi4uJg+fvxIS5YsodDQUNqzZw+VlZXR8+fP\naXBwkGpqamj79u1kaGhIa9asIUdHR5o1axZFRERQS0sLLVu2jOrq6ig6Opo8PT1JWVmZysvLSVNT\nk1xcXGj+/Pk0cuRIev/+Pa1fv55SUlIoMDCQqqqqaGBggAoLC6mnp4eCgoLI09OTJk6cSI8ePaLW\n1lZau3Yt5ebmUlpaGn38+JECAgJITk6OgoODqbS0lMRiMdtWdnR0kJ+fH4WHh1NwcDCVlZVRbm4u\n5eXlUVVVFRUUFBCHw6H09HTq7u4mT09PmjVrFunp6dGDBw/ozz//pOTkZFq7di3l5+dTS0sLubi4\nkL6+PoWFhVF5aRl9+txHS5ZF0ORlk6n4wwtqbLlPa9euJSKihIQEKi4upv7+fqqoqKB9+/aRrq4u\nbdiwgaXIYmJiqLu7m7q6umjMmDHE4XAoNjaW1NXVaWBggGJjY+n69eu0ZMkS4nA4NGvWLFJRUSFf\nX18qLS2lt2/fUmlpKZ08eZIWLVpE9+7doxcvXtDatWvpxIkTtGXLFurp6SF/f3+Sl5enefPmUXl5\nObW2tlJgYCCFh4dTQkICVVRU0M2bN2ny5Mk0Z84cGhwcpLdv39KxY8do79691NPTQ5MnTyYFBQUK\nCQmh0tJSamxspPDwcGpvb6cLFy6QiooKrVixgqqqqggAlZaWUkdHB4WEhJCzszMlJiZSVlYWycjI\nUGFhIZ09e5aSkpJo0aJF1NDQQJWVlWRjY0NWVlYUEhJCPT09xOVyKS0tjcLDw+n8+fPU3t5O1dXV\nJC8vT3w+n9LT02nz5s20ceNGCgoKIiKiyMhIun//PoWFhdHAwACFhoaSrq4uubm5UUVFBfX29pJI\nJCIrKyuKjIykxsZGUlNTo5CQEHrx4gX19PSQtbU1bdy4kfXd19eXrKysKDs7m4qKiuj06dMUFhZG\nx48fJwcHB9LR0aHKykqSk5OjsWPHUnh4OFlaWtLAwACdOHGCZGVl6cqVK5SamkolJSWUlZVFQqGQ\nNm3aRH5+fnTp0iUiImpoaGCmJd999x11d3eTn58fKSoq0rx589jcMmvWLLpw4QLNmDGDnJycyNTU\nlEJCQkhGRoZKSkqoq6uLQkNDydHRkWbMmEEvXrxgc8vly5eJx+NRXV0dnT9/nng8HtnY2JC5uTnN\nmzePduzY8c8n1f/NBfb/1iWRSKCkpISSkhJ0dHQwQ+eSkhIsWLCAFYTMnj0bbm5ucHJygq6uLpSU\nlHDx4kXk5OQw+dbS0lIAXw79DAwMUFpaiuHhYZw5c4YVrhAR/vrrL2hra8PR0RFEhIiICFhaWsLK\nyoqtcH/66Sfs2LED48ePh7m5OUpKSgB8YcOYmJigpKQEg4ODuHXrFjsU+k/buEuXLsHZ2Rna2trg\n8/lwdXXFrFmzGEtCQ0MDRUVFTEHP3t4excXFEIvFePXqFXR0dFBaWgqJ5P/12ywtLWUrc/p3VaGs\nrOxXhhgbN25khhgGBgYoKSlBU1MTcnJyYG1tzTBqbm6GkpISSktL8fbtW1YoUlJSgoULF34lJevk\n5ARbW1uMHDmSFU5kZ2fD398fFhYWKCkpYWXKRkZGrN9Sc4qtW7fixo0b4PF4KCkp+co27vfff4eD\ngwN0dHTA5/Ph7OyMuXPnYty4cTA1NYWGhgZKSkqQl5fHxNakOL158wba2trseV/0ovkoKy6B8S4H\n5NachampKQYHB1nxxZ49e8Dn82FoaAhlZWVoaGggOTmZVZVKbc9qamogkUiQl5cHCwsLpKamwsvL\nC6ampgzDa9eusViQSCT4888/wefzoaenB1VVVfz+++84dOgQZsyYAUtLS4bTo0ePYGhoyPottY0r\nKytjhs4yMjKwsLCAlZUVhoeHwefzMWrUKPbsoqIi6OvrszallZHAl5Xmp0+fEBMTww5GFy5cCBsb\nG4wePZpx3aVkgtLSUjx69AhbtmyBra0tex+xWAx1dXWUlpZiaGiIKRRyOBwcO3YMpaWlsLGxga6u\nLuTk5ODk5ITS0lJMmDABhw8fRlpaGpydnWFsbIzS0lL09/fj4sWLGDVqFIqKigB8YYTIy8ujqKgI\n1dXVePLkCfT09Jiw3IYNG8Dn83Hnzh2cOnUKY8aMgZGREdTU1HDv3j1cuHABS5cuhbW1NdasWQOB\nQMD629DQ8FWMSw2dnzx5AnV1dSQmJuLhw4dM519TUxPr1q1j81JUVBT7BiUlJRgeHsaTJ0/YtwOA\n3NxccDhfjCd4PB4KCwuhra0NFxcXEBEWL14MKysrjB49Grq6uhAIBDh9+jR2796NSZMmwdLSEqWl\npejr62M7paGhIWhqaqK0tBRdXV2sP//k+q8bOisqKkJTUxPPnz/H4cOHMXPmTNjZ2aG7uxvNzc14\n/PgxrK2tIRaLMTAwgCVLlsDW1hYAWE7Szs6O+T4SEQuGAwcOYPr06eBwONDT08P48ePZFrqxsRE3\nb95kqn+fP3/G6tWrmUDSoUOHwOFwYG1tzVTpOBwODAwMoKCggG3btmHs2LFsADc0NODq1atYsWIF\nHBwc8PnzZ7x+/Rp37tyBtbU1q1qbNGkS6780pWFtbY24uDg4OzuDiCAUCiEQCHDx4kXExMRAX18f\nJiYmePnyJWpqanDkyBHGp+3s7MT+/fsZRtIKOxsbG8Zm4XA4MDMzg6OjIyIiIqCtrQ0FBQWoq6vj\n2bNnOHjwIPz9/WFvb4/Ozk68ePECjx49gp2dHYAv7J7IyEiGzfbt2xmnd//+/Ux3RYq71FhBRkYG\nurq6jIolNTa+fv06Vq5ciTFjxqCvr4+5Nklx6u7uhre3N2xtbSGRfDEQkeIUExPDhPulMseXLl3C\n8uUxMDQ0gqmZKaLeJ4JnwYefnx/a29shJyeHrKwsWFtbY3h4GF1dXTh69Ch7v7///htGRkawtrZG\nRUUF5OXlERkZiebmZvz888/Izs5m3o5SR3b6t6GIoqIitm3bBjc3N1b/IMVJ6t9qbW2NzMxMaGtr\nM0y4XC4OHDgAX19fcDgcGBkZoampCQ8fPmSD19raGsnJyRCLxbCxscHOnTuZs5VUoTEnJwczZ84E\nl8tFV1cXpk6dijFjxqCjowMvXrzAX3/9xfrz6dMnJgJ19uxZ2NjY4OXLl4w5YWtri6CgIEyfPh1E\nBHV1dea+s3HjRjg7O0MikUAoFGL06NHo6+vDq1evkJ+fDwcHB2hoaLD0lLSozcbG5qucubGxMXR0\ndJCSksI47NbW1qivr4e5uTlLyZw4cYIpR3I4HOjr6wMAAgIC2PtIaw7s7e2Z3IREIkFsbCz09fWh\noKAAoVCI6upqHDt2DLNmzYK1tTW6u7sxdepUKCkpsViwtrZGamoq7O3tcf36ddjY2MDMzAw2NjbY\nvXs3DAwMmJYNl8vF4cOHERAQwPo2ceJENrc0NDTg9u3bbEz29/cjISGB9VuaM5cWKFpZWWHy5Mks\nlaSurg5ra2vcvXuX/bD+k+u/mmYhIhIKhRQREUFaWlp0+fJlysvLo02bNtHy5cupuLiYamtrydnZ\nmSwsLGjmzJnU3t5OXV1d9M0339DMmTMpMzOTqqurqaenh96+fUtNTU20atUqio2NpRUrVpCOjg7l\n5eWRj48PFRYW0qJFi+jNmzc0ceJEamlpofHjx5OBgQHNmDGDqqqqqL29nZYtW0YzZsyg7du3U3V1\nNbW0tNDQ0BBVVlbS9u3byc7OjtLS0sjDw4NmzZpFsbGx1NnZSatXr6a6ujpauXIliUQi4vF4VFNT\nQ+rq6swjUigU0ps3b2jbtm20Zs0amjp1KtXU1JCCggI9ffqUOjs7md/ljBkzqKKigtrb22nLli10\n7tw52rBhA/X29lJQUBDx+XyaPXs2VVVVUW1tLQUHB9OMGTMoLCyMqqurKT8/n+7cuUMVFRV04cIF\n0tHRobS0NGpvb6fx48dTREQE6enpUX5+Pl27do22bdtGq1atosePHzMGi5mZGc2YMYN5S0r9OPfu\n3UuVlZXU09ND7969o9raWlq3bh05OzvTqlWrSE9Pj27fvk2xsbFUX19P586do7i4OHr37h0lJCRQ\nY2MjxcfH07hx40heXp5qampIRUWF3N3dKTAwkEaMGEHv37+n9PR0SklJoenTp1NNTQ3JyclRTk4O\ndXV1kb+/P/n5+ZG/vz+VFT+h1vZ3FLUslPI5D6nq4TPyc5lCgYGBJBaL6a+//iI7OzsSCAQUEBBA\nFRUV9PLlSwoICKDAwECaOXMmVVdX0++//04vXrygBQsW0K+//kopKSl04cIFSk9Pp4qKCmpqaqLh\n4WGqrKykbdu2kb29PaWmprKUQEBAAPX29rL4zMjIoKqqKvr06RO9efOG6uvrKSkpiVxcXCg+Pp6E\nQiEVFBRQZGQk1dTU0Jw5c+jjx4/E5XIpPj6eZGRkiMvlUnR0NA0PD1NbWxu1trbSsmXLyMvLi6Kj\no0kgENCVK1do+fLldPPmTdq6dSslJyfTzZs3WdrOxMSE/P39WQzfvHmTlJWV6ejRo3Ts2DEqKyuj\nR48ekaKiIqWlpRERkYODAwUHB9PYsWMpNzeXioqKaN26dXTu3DkKCQkhFxcX0tTUpMrKSlJSUqL3\n799TcnIycTgcOnfuHG3cuJGqq6upurqaOjs7qbKykvbv30+Wlpa0fv16CgoKovDwcKqpqaGrV6/S\nwoULKTc3l7Zv3069vb0UEBBAjY2NVFVVxWJfVlaWhoeHacOGDRQREUGurq5UUVFBu3btIhMTE4qP\nj6fDhw/Tt99+S97e3hQTE0Oampp09uxZunXrFq1fv55iY2MpLy+P+Hw+RUREUHl5Ob1584bKysqo\nq6uLCgoKSEtLi+bOnUvl5eXU19dHTU1N1NzcTCtXriR3d3datmwZqaqqUl5eHo0fP56KioooPDyc\n2trayMfHh5qbm2ncuHFkYGBAgYGBVF1dTa9fv6a4uDjy9/enrVu3UlVVFWVmZtKTJ0+ooaGBuru7\nSSKRUGRkJOXm5tIff/xBXl5eJBaLSUbmH9g1/6+urP9PXBKJBEZGRlBXV0ddXR1u377NhLTq6uqY\nsI+qqirq6uoAAImJieBwvniGbtmyhTFYUlJSIBQKmZa4rKwsDh8+jISEBAwNDaGurg66urowMTFh\nbbe3t7NnA0B6ejqICHV1daxAh/4tJs/lcjFy5EgoKytDIBBgx44dWLhwIUxNTaGlpYW6ujo0NTUh\nOzsbhoaG7Bmtra1QUFBATU3NVzzeuro6LFy4EIqKiiAihIWFsW2plPt77do1ZGRkYOLEiaxN4MtK\ncsSIEaitrf1K+6K2tvYr7Yvz58/D3NwcGhoazG8zKioK48aNg5GREcP11q1bSExMhJmZGXvGhw8f\n2N/FYjFz9amqqsK2bduYPkVaWho0NTWhq6vLCiSys7OxYsUKxk6qq6uDpqYmtLW1mS3YoUOHvsLp\nxYsXDKfu7m4EBAQwnKSCS0SEBQsWwM3Nja3w5OTkkJ+fj31ZGZg6yQ+teAeLd25wHefKONWVlZVQ\nVFTEiBEj2Pvl5eWxUvDCwkImS3zlyhXY29uzd3JxccHBgwdZimHv3r1sFyKNhfT0dISFhTF2DBGh\nqqoKmzdvZjilpqay+FRVVQWXy8WhQ4eQkJCA0aNHQ0dHB3V1deju7kZtbS0AgIhw+PBhVgCUlJTE\ndjrq6urgcrk4fvw49uzZAw6Hg/379yM2NhampqYM11evXkFdXR319fWQSCRYuXIl5OTkcPHiRair\nq6OwsBA+Pj7MWd7HxwcBAQEwNzfHyJEjoaKigqKiIiZQZmZmhqSkJFy5coX1s7GxEQKBAOHh4XBx\ncWEyvBwOh9V4yMvLM/0STU1NrF+/HsHBwZCVlUVdXR1MTExgYGDAvs+jR48YJrdu3UJAQACGhoYQ\nFhYGGRkZ1NXVITY2FgoKCjA1NcXRo0dRXFwMc3NzxMXFMWKBmpoa6urqcO/ePaxduxZ9fX04ePAg\nsrOzYWpqyogRPB4PiYmJUFBQQF1dHdLS0pgZxtq1a9mBpdSf9YcffsDq1asxPDzM5hZLS0vU1tZi\neHgYr1+/hoaGBvsOUtu42tpa7Nu3j7l6BQcHg8P5Yoc3bdo0mJqaQl1dHbW1tTAxMfm/owJUWvjj\n4OAAV1dXdHV1sZSIm5sbQkJCIBKJWNpBXV0d165dw6pVq5j3X2trK0pKSnDy5El4enoyKdi0tDS4\nublBLBbD3NwcMjIyMDU1RV5eHlxdXREfHw8HBweWkhEIBDhz5gwiIyMxYsQIWFtb48WLFygqKkJW\nVhZcXV0ZNXLPnj1wc3PD8PAwbt26BU1NTbi5ueHx48cYNWoUeDwe7Ozs4O7ujvDwcAiFQqiqqkIo\nFKKoqAgZGRmYOnUq3Nzc8OrVK9TW1uLWrVvsGR8/fsSiRYvYvTTX7+7ujqysLKblbmJiAj6fjx07\ndmDixIng8XgwMTFBTU0N8vPz8c0338DV1ZVpPPz222+szebmZjg5OcHV1ZX5khIR3NzcEBoaCpFI\nBD6fz3C/evUqVq5ciVGjRsHW1hatra0oKyvD8ePH4ebmhoGBAXR3d2PDhg3sGVIXHmllpKysLJKS\nkvDgwQOYm5uDx+PB1tYWLi4uWLx4MRNB09bWRlFREfbt24dp06Z9hdPt27e/wiksLIzdb966FTJE\naEIbTF+J0Nb8Ej4+PpgxYwaUlZUBABYWFkyozMPDA3w+HyYmJigvL8fFixcRFxcHV1dX9Pb2Qk9P\nD83NzRCJRGhoaEBxcTG+//57uLq6Ynh4GB0dHdi7dy9cXV0xNDQEKysrXLt2DeHh4Sw+29raUFZW\nhpMnTzKcPnz4gPXr17N+nzlzhp2rSGmlr1+/hoqKCiQSCRPOOnPmDFxdXSEWi9Hb28t8IqUxzuVy\nYWlpCZFIBFdXVyxbtgxubm6sUElRUREXLlxAbGwsjIyMYGVlBVdXV7i4uKC7uxsNDQ24c+cO3N3d\nWQp0+vTpLH0klZswNDSEWCxmujpLly5l51g6OjpQVVWFRCJBY2Mjnj59iu+++w40HU9FAAAgAElE\nQVSurq4YHBxkmkYuLi6QSCTs/EBPTw/l5eVMm2XkyJEsDSHFSSp0tnXrVnh5ecHJyQmvXr2CiooK\nBgYGYGBggKqqKri7uzNBKzs7O7i6uuLNmzfw9fWFjIwM+vv7weVy8dtvv0FOTg5paWlwd3dHfn4+\nxGIxrKysYG9vj/b2dpSXl+PkyZOsDx0dHUhOTv4Kd1lZWZiZmeHSpUtwdXVFTEwMPD092eJPyqKK\nioqCgYEBrK2t0djYCIlEAldXV2zYsAH37t1jGInFYvj7+0NDQwN5eXkA8D+/AlSqjz1//nw4Ojpi\n7969qK6uxqlTp5CYmIjMzEyWb7K1tcWePXsgFovx7bffgsPhICMjA5s3b2aGCUFBQVBRUUFwcDBs\nbW2Z3oXUH3Hv3r3MUi4jI4PlN93c3Nj9zp07weFwsGfPHmRnZ0MgEDAtEx6Ph5kzZ8LS0hJycnKY\nP38+srOzERMTA29vb2RkZODt27fIy8vD0qVLkZmZCYnki9C+oaEhMjIy0NPTw/SiMzMzERYWxmRl\nx40bB3Nzc0RFRWH8+PHQ0dHBunXrmFNRWFgY62dVVRX8/Pywd+9etjLn8XjIyMjAzZs3oaOjw3wJ\nLSwsWEWavr4+Jk2axGRo7e3tsW/fPlRUVODnn39GYmIie0ZfXx/s7e3ZvVQvOiMjA9u3b2crw1mz\nZkFJSQmzZ8+Gra0teDweli5dip9++gkJCQnw8/PDvn378OHDB8yaNQurVq3C+/fvcePGDSxevJjh\n1NzcDH19fWRkZLAfdilOISEhzCvSw8MDFhYWiI6OxoQJEzBixAikpKTg2vVr2JG+FbOzI7C9Kweb\nNm9gxrq7du1iWt1SzK5evQqBQICMjAzG9+VwvjgIOTg4MD0YQ0NDHDx4EHJycozbzuVy2QGwrKws\ngoOD2YCTGo5nZGRgy5Yt0NDQAJfLRWBgIJSVlTFnzhzY2dl9FZ8rV67EtGnTsG/fPjY2pH6b7u7u\n7CzC398fmpqaCAkJgaOjIwQCAZYtW4bTp0+Dx+Nh/vz5CAwMREJCAsO1u7sbzs7O2Lt3L8RiMTZt\n2oTU1FRkZmYCADZu3Ahvb2/Y29uDz+fD1tYWjo6OSExMxLRp02BiYoL09HT8/fffGB4ehqGhIRsj\nUiwbGhqgp6eHrKwsSCQS1NTU4OTJk4w6u2TJEigoKGDq1KkwNTWFmpoaZs2ahX379iEiIgKenp7Q\n1tZGRkYGi7f6+nocOXIE3333HWxsbPDzzz9DLBYjNDSUxcWyZcugr68PQ0NDTJgwAYsWLYKuri6m\nTp2K7du3IyQkBM7Ozti3bx9qampw+vRp7N27F+Xl5Zg5cybr/7Jly6CsrIxZs2bh/v37yMzMxIYN\nG9hZkL+/P9TV1TFv3jw4ODhATk4OUVFR7PwkMzMTf/zxBxISElib0rlFivPWrVshIyODPXv2wNvb\nGyoqKpg7dy6OHz8OOTk52NnZYcyYMYiPj2e4/6cu/T+5/usHoFLB+8rKSkyfPh0CgYBNnL6+vsy1\nXiAQ4MmTJ8jJyYGfnx90dHTQ3t4OiUSCsrIyqKmpob29HcAXWy4iQmtrK86ePQsejwd1dXWEhoaC\nz+djyZIlGDt2LOOXShUAd+zYAXd3dwiFQrS3t0MsFuP27dtQV1dHW1sbAODixYvg8Xhob2/HzZs3\noaenByLClStXMGrUKFbi6+DggJiYGDg7O0MoFEJRURFtbW3Iz89HbGwsRo4cidbWVojFYrx7947p\nZYvFYqxbtw5ycnJob29Heno6Y7Bs27YNmpqa7OCPw+EgJycHUVFRMDc3h7q6OlpaWvDu3TscPXr0\nK4yePXsGWVlZtLW1oa2tDZMmTYKMjAyeP3+OoKAgJto0e/ZsTJkyBSNGjICamhoEAgGePn2KQ4cO\nwdfXF9ra2gyLp0+fMtyHhoaYnGdbWxvOnTvHfgz/9a9/QUtLC6qqqtDV1f1Klc7Ozo6tiLW1tRlO\nN2/exIoVK6Crq8tw6uzs/AonaRFYe3v7v1NuAowIN8TodfbQGaELkUiEefPmwdTUFBKJhHlF7t+/\nHwsWLMCIESOgqqqK5uZmNDc348CBAxAKhWhra4NYLMbff//NSsABID8/H+rq6mhtbQUA/PHHHyz1\nMjAwAB6Ph5ycHEyfPv0rnEpLS7/CSWroLI1P6XZe6uYjPUQEvsiwAl+keVVUVNizs7OzGdZS6WFp\nSbs0bSc1Qpeyne7du8dWrY6OjoiJiWExIl3xCwQC1m+pbVxLSwv7LlwuF21tbRAKhbC0tMTKlSvh\n6emJp0+fIisri+2kpW1cuXIFGhoaDMNr166xNqTmFImJiWhtbcXw8DDS0tLYuMzJycHo0aMxY8YM\nCAQCNDU14ffff8eSJUugq6vL6iikMf7kyRPw+Xy0tbWhvr6eaaxXVFRgypQpSExMhKysLDQ0NKCo\nqAgFBQXs3buX1bS0tbXhwYMHLOakuP9n/3NycsDhcNDW1obTp0+Dz+dDXV0dixcvZgs/Dw8PGBgY\nsJTMnTt3sGfPHraoam9vZ4YWe/fuRV9fHxQUFNgzFi9ezNy3/q8pGhKLxcxzUSQSoaOjA5WVlSgo\nKIBIJALwRUMiICAAIpEIEokE3377LYgIIpEIW7duhb6+PoiIaX1///33mD59OhQVFWFnZ4fq6mrk\n5+dDJBJBS0sLV65cwaRJkwB8KQhZuHAhRCIRhoeHsXPnTubnKTUflrIoOBwONmzYAC8vL/D5fNjY\n2KC0tBQXLlxAfHw8vL290dPTg8bGRpw6dYr19+XLl3B3d4e3tzd6e3sZ80AkEiEsLAyenp6MGaGq\nqopz584hKioKZmZmcHV1RWNjIx48eICDBw+yNjs6OrB+/Xp2L7WNmzhxIm7cuMFy5o6OjjA3N0dE\nRAQMDQ2hoqICAwMD/P3339i/fz8CAwPh6+uL9+/fo7q6Gnfu3IFIJGKFItLvAgBr166FnJwcJk6c\n+JXQvnR1KhUMkirsVVVV4fr160hOToa3tzcGBwfR1taGQ4cOQV9fnzFFpO23trbC1dUV3t7e6O7u\nhr+/P8MpJCSE/ejr6+tDTU0NFy5cQExMDCwtLeHm5oamhgYIlBXg2OQHHQsDFN6/D5FIxDTziQhb\ntmxhz8vLy4OmpiZEIhHu37/Pdkhjx47FmDFjmFO7jIwMhoaGoKSkxJgpMjIy2LRpE/OvlfpYSuNT\nitPmzZvZCtvc3BxycnLYt28fMzW2tbVFVVUV8vPzkZKSApFIBA7nixuQra0tSx1K7fPMzMwgEAiQ\nnZ2N2bNnM21+sViMoaEhCIVCaGlpsXiXpjKlqbPc3FyIRCKcOnUKEydOxPz58+Hp6YnJkyfD398f\nAoEAWlpa0NbWxu3bt5GSkgIPDw9MmDABbW1tsLe3x8ePH2Fqaooff/yRxYo0NTNq1CgAgLe3N37+\n+WcmBGdnZ8ds91xdXSErKwtLS0sUFxfj48ePzFkrJycHEydOZDHu7e2NDx8+wMPDg72PtBrYy8sL\nenp6KC4uZgwWc3NzKCsrw8jICI8fP8aBAwcQHBwMkUgEDQ0NZnjy5s0bbN26lcVHQUEBNDQ04O3t\nDRsbG4hEIqxfv56xTaRm31L/W2kFaEVFBe7cuYMJEyZAS0sL165dg7e3Nzvrk6aK/zNd6u3tjX37\n9kFdXR2ZmZmoqalh2jhCoRC3bt3Cy5cvkZ+fD01Nzf9fk/l/nc3y66+/0v379ykzM5MWLVpEtbW1\n1NTURE5OTuTg4EDOzs708eNHqq+vp927d5Ovry8JhUIqLS0loVBIzc3N1NraSgsXLqSkpCSKiYkh\nRUVFun79Oq1YsYIqKirozz//pB07dlBpaSn9+uuvJJFIyMLCgtzc3KihoYEaGhpoy5Yt5OTkRCkp\nKfTs2TPicrnU2dlJNTU1lJiYSAkJCRQbG0sXL16k4OBgio+Pp46ODlqxYgW9fv2akpOTydnZmdTV\n1am2tpZUVVXJ19eXHB0dSUdHhxobGyk3N5e2bdtGM2bMoKdPn5KDgwPl5uZSX18fubu7U2pqKgUF\nBdHTp0+poaGBkpKS6JdffmGFIvPmzSMNDQ0aN24c1dXVUUNDA8XGxpKjoyMtXLiQ6uvrqaGhgerr\n6+nx48eUk5NDkyZNYoVDIpGIUlNTydTUlNLS0uivv/6i77//npYuXUo1NTVUV1dH7u7u5OzsTK6u\nrtTZ2Un19fW0a9cumjRpEqmoqNCzZ89IS0uLXr58SY2NjbRo0SJavXo1xcTEkLq6Ot24cYPi4+Op\nqqqKlixZQp8/f6ZVq1aRrq4ujR49mhoaGmhoaIjmzp1L9fX1pKSkRH5+fuTo6Ei6urrU1NREv/zy\nC3333Xc0e/Zsevz4MTk4OFBMTAwNDAyQi4sLrV+/nmbOnEmFhYVUX19PBw8epBOnfyFlGR59Vhwm\nbSVFOvLTT/T27VuaMGECOTg40N27d8nCwoKam5tp6dKl5OTkRDNmzKD6+noqLy+nhw8f0pMnT+jE\niRM0adIkio6Opra2NjI2NiZHR0fq6emhqqoq+uabbyghIYFiYmLI0dGRgoODyd3dnerq6khGRoby\n8/NJU1OTqqurSUdHh9ra2qi5uZkWLFhA3377LcXExJCSkhLl5eXRihUrqLy8nJYsWUKDg4MUHx9P\nd+/eJZFIRO/fv6cFCxbQuHHjqL6+nl6+fElz5syhNWvW0LJlywgAXbhwgUQiEXG5XDp48CCpqKiQ\nsrIy+fr6kpeXF9nY2JCrqys1NzdTXV0dNTU10efPn+nTp0/U1NREcXFxdPXqVXJzc6OYmBj6/Pkz\njRkzhtasWUMikYh+/PFHevToEWVnZ9OaNWvo3bt3ZGtrSzo6OrR27VoSCAQUGBhIU6ZMIR6PR6dP\nnyYVFRXy9vamT58+0eDgIBUXF1NKSgotX76csW1mzpxJ33zzDe3YsYN8fHzo+vXrdPjwYSooKCAN\nDQ3S1NSkhw8f0rt372jjxo2krq5O9fX1dPToUVq5ciV5enpScXEx2draUkBAAPn4+NDJkyeprKyM\nJk+eTMnJyaSmpkZnzpyhwsJC2rNnDzU0NNDcuXOpsLCQ0tLS6NatW9Ta2kpLly5lxTweHh60Z88e\n0tXVJX19fWpsbKTW1lYKCQmhpKQkWrZsGSs4iouLo7KyMrp37x7t3buXiouL6cKFCySRSGj06NHk\n7u5OLS0tVFdXR1u3biUnJyfasGEDVVVVkby8PHV0dFBgYCAdO3aM+vv7ydTUlNasWUNnz54lR0dH\nunz5Mm3fvp04HA7Tsfr/vP4PLbT/ly6JRIJ79+4xqcjOzk5mTiErK4uuri6W0yIidHd349tvv/1K\nFtPU1JQp/3E4HFy+fBnx8fHQ1dVlW6nnz59j+/bt4PP56OrqYm2LxWKkpqaytrdt2wYulwsej4e9\ne/dCS0sLioqKkJOTg6ysLE6cOIElS5aw0tzu7m5mmKChoYHu7m4MDg6iqqoKXC6XceWlanjNzc0I\nCAiAvLw8k5WdMmUKVFRUWAqgsrIS+/btg6enJ5SVlVmbjx49gkAgYPdSn8DOzk6mHU7/dpXR1taG\nkpIS5OTkYGFhgfXr18PFxQXKysqs34WFhUhMTISKigq6u7vZCkBeXh7d3d0YGBhgPN7u7m4kJSUx\nB/gNGzbA2NiYqdHJyMjg999/R1xcHDvw7e7uxufPn3Hy5EkoKiqyfj948AA8Hg9paWmoqqqCnJwc\nuru70djYiAkTJkBGRgZNTU2YNm0aBAIBiAhz5syBn5/fVzg9e/YMBw4cgEgk+oJTVwfKK2th+GEs\nuvARb16/Ap/PR3d3NzQ1NaGqqop//etf4HA46OzsxJUrV6CpqclklqWyvlwuFzY2NkhMTERJSQmu\nXLmCjIwMqKqqMnlUKYtkwYIFzFVIRkYGHR0dzCKNy+UiNTUVZmZmX+F06dIlJCQksBRPd3c3+vv7\nmTsOh8PB8uXLMW3aNEgkX4wlrK2toaGhwfwr8/PzkZSUxPRNYmJioKamxswoenp6ICsry76j1CTB\nwsICCgoKePr0KVxcXKCgoMB2ouHh4YyRxOfz0dnZiTNnzmDu3Lno6OhAXFwceDweOjo6MDQ0hNLS\nUhbjhoaGcHNzY16pHA4HBw8ehEAgYGqLCgoKyM7Oxpw5c6CiogIVFRV0dXVBWVkZ79+/h7y8PIqL\ni5mN3dWrV5mfbGBgIIvDsLAwNn4iIyMhFouhoqKCLVu2wMvLixltdHd349GjR1izZg17ltTjYM6c\nOayoraurCzdu3ICKigoOHTqEd+/eMcXL0aNHs1Qjn8/H9evXsWrVKpiYmEBVVZXVasjJyUFRURG9\nvb0MdwAsFjo6OljNAYfDwa5du9Dd3Q2xWAwiQktLC5SVlcHn8/H+/XsoKiqiq6sLGhoabNf1T67/\n2mQ+ODjIcuYczhfD1enTp2PSpEn4f6h7z6iolq1tdHagu0FSkzOSQZAkICAoCIgSFKVBRQSBjaKY\nMW1Fj2GbM24zKuAOR0HUrYJZMKACghJazApuzIiKxKaf+4PT9R7H/XHPN8Yd47xf/9E1gFpVc81V\nXTXrCTweD0ZGRjAyMkJhYSEjmISEhOD58+e4efMmY9fJ5XJ8/vwZqampiIiIANBXM+dyuRg9ejT+\n+c9/oqamBnV1ddDX12fEBbFYjCNHjmDKlCno378/hg4dioaGBly5cgUbN25EZGQkYxpmZGQgLCwM\ncrmc+W2OHDkSV65cYeUGPz8/2NnZIT4+HqamptDU1IS1tTUuX76MjRs3YuTIkQgLC8ObN29QVVWF\nM2fOICwsjMUiMjISYWFh6OnpwZIlS8DlchEZGYm1a9fCwMCAlXsEAgHWrFmDoKAgxry7d+8e00MP\nDw9HV1cXnj9/jq1bt7J+19fXw8rKCmFhYXj9+jWbOIODgxEZGYmAgABGrjIwMEB+fj5mzpwJJycn\njBgxAk+fPsWNGzdYTVhRw05LS2PjUAiShYeH4/jx4xCJROByufDx8YGuri7S0tLg6OgIFRUV2Nvb\ns4MgS0tLXLlyBZs3b0ZYWBjCwsLw9u1bVFdX/7/ipPh5T08PFixYAIFAgKFDh8LWzh555b9jZMtk\nREaNg+a/EESmpqY4f/48ZDIZyzUXFxfmwzl9+nSEhYWhvb0dT58+ZWQQuVyOnJwcyGQyODo6MsGx\nhQsXsvErzCkAwNXVFUFBQXj27Blu3ryJAwcOsN9T5KdCD0SRn+Hh4QzNojBGPnbsGBtvTk4OG2tr\nayuSkpJYmwrobHh4OIKCgjBq1ChMmDABPj4+4HK5TCr3t99+Q1paGquX29raIjw8HK2trairq0Nu\nbi4b79evX+Ht7Y3w8HDI5XJmrq5473R0dGBmZoYpU6bA0tISampqGD9+PF68eAEfHx/U19fj0qVL\nWLNmDcLDwwEAf//9NzIzM1m/L168CG1tbYSFhUEsFkNVVRUrVqxgpBx7e3uIRCJ8+vQJ6enpCA8P\nx8qVKxEQEIBRo0ahsbGR+Z+Gh4fj5s2bTB+luroa/fv3R1hYGB4/fsxiERoaihEjRiAkJIRZ8Pn6\n+oLL5cLZ2RleXl4IDg5m88KhQ4fYe/PvcZfL5YxMGBYWhqNHjyIsLAxBQUHQ09Njukna2trIy8tj\n5VLF3HLt2jVs374d06ZNwx9//MHmtO/fv8PX1xfh4eGMhFhcXMzcq/5T0tB/XTWxoaEBR44cwfjx\n45Gbm8tc0i0tLZGbmwu5XM5cRn777TfMnz8f2trazCBZX18fYWFhcHBwgLKyMpYtW4bs7GykpKRg\n+PDh7PBPKpXixYsXaGtrg52dHfLy8tDT08MEevLy8rBhwwa2ykpISIC6ujo7gRcIBJg5cyYzD/bx\n8UFeXh5aW1tRXFyMsLAw5OTkAAAaGhrYA21sbERgYCA4HA4OHjyI0aNHw8LCAlwuF/7+/nB3d0dM\nTAy8vLxgaGiILVu24MyZM1i2bBkiIyORl5fHxuDl5YWjR49CJpMhJycHXC4XeXl57LCRiLBkyRIY\nGhrCw8MDenp6MDAwgEQiwc8//4zw8HAMHDgQeXl5ePjwIQ4dOoTY2Fh2D7lc/kPc09LSWGwWLlzI\nGLaxsbHQ19dHaGgoHBwcoKqqiiVLlmD//v1ISkpCQEAAjhw5gp6eHly/fh3BwcHIy8uDTCbDzZs3\noa6ujqNHjyIiIgJisRh5eXl48eIFMwHev38/wsPDYWlpCR6PBz8/P3h4eCA2NhaDBw+GkZERtm3b\nhnPnziEzMxOjR4/GqlVroOquCrOLgwF5L969fQ8jIyPk5eUhLi4OgYGBOH78OPh8Po4ePco0zBX1\nb2tra7i6ukJbWxtmZmbIy8vDnDlzsHz5cuTk5DA0hqK2np6eju3btzOvScW95s+fz7w3JRIJDA0N\nMWrUKAwYMABqampYunQpDh48iJSUFAQGBuLIkSOQyWSYNm0aNm/ejAkTJmDEiBFYvXo1xo0bh7Cw\nMJiZmbFn169fP6xYsQK5ubkA+vxp/fz8EB8fz/Kvs7MT1tbWLOYjR46Enp4eNm/ejH/84x/YuHEj\nPDw8GMPSycmJufYoxO7y8vJw8+ZNbNu2DTExMZgxYwaMjY1x9OhR9Pb2orq6Gpqamhg9ejTmzZsH\nPT09ZGVlsYP0adOmQVVVlbUnEomQmpqKdevWISYmBsXFxSgvL4ehoSGOHj0KAHjx4gUGDRqEvLw8\njBgxAra2tlBRUWEIMMWzNDExYatchZeuYqceGRkJFxcXHDlyBE+ePMHRo0cRExOD3NxcHD58GElJ\nSRg+fDhDgClyIS8vDw4ODrCxsWEoLRMTkx/inpmZidzcXKSlpbHafkJCAntf2tvbYWtry64VCpZH\njx7F2rVrmQ76tm3boKyszIzek5OTERAQgKysLHbGk5eXh69fv/7HEznwX8aZy+VyDBkyBEpKSuBy\nuRg5ciTi4uLYdpLP56O1tRXZ2dnMMq2jowNAn8oaj8dDV1cXent7sXXrVhARuru7ceDAAeYRqCh7\nPHz4kH3zKbbBjx8/xtatW+Hu7g6hUIj29nbIZDKUlZWBx+Ox3YOCmtzd3c1W5kSEixcvMq0LHo8H\na2trZGZmYuDAgcznr7OzE1evXsW0adMgEonQ1dUFoE+knsvloqurC+3t7QzH29nZyb5g6F8aLP37\n92fbdM6/fEmTk5OZfVVnZyc6OjqQk5MDgUDAYnL37l2mJKcwpyAivHz5EsOGDWO09MjISEyYMIEh\ncbhcLv7++2/s378fQUFBUFJSQldXF2QyGerq6lhcgT5TEMU99u/fDw6HwxyWFFtsBYV969atGDp0\nKPh8PpSUlNDe3g5nZ2cWp5KSEsyYMeOHOHV3d/8QJ0Xpp7Ozk3lREhEyV6zC0Nfx4FnzMHtOOoxM\nTNh9FM9xwoQJUFJSgkAgQEdHBz5+/Ihdu3aBz+ejq6sLcnmff+vAgQPZ4W5HRwdbjfX29jJzCoXW\niKqqKqZOnYrg4GDm3yqTyfDw4cMf4qQg9nR3d7P2FAgWhcdpaGgoW5FyOBy8ePGC5WFPTw/WrVsH\nIkJXVxeUlJSgpaUFJSUlBr+Njo7G6NGjIRKJ2HNsamrC9u3bMWjQIHR3d2PFihU/9Ov169csvq2t\nrRg9ejTrp4KgIxAIMG3aNObtuXr1agwaNIiVLZ4/fw6BQMDavHjxIng8Hjo7O5ltnKLfCu9VRZ5a\nWVlh+fLlsLe3Z/nM4XBw5coV9v6fPXsW8fHxLGcU84fifWhqakJnZyfu3LkDR0dHcDgcPHz4EL6+\nvuwQVuHrKhQKweFwEBsby+YCACzHgT4SFJ/PZ3mzceNG9v7v3bsXHA6HjZeIMH78eISHhzNpZj6f\nj5cvX2LHjh0YPHgwyy+gjwyl8N7lcDjo6upivqR8Ph/fv39HYmIiTp8+DT09vf8YYw78lydzBSyv\nqqoKubm5kEgkDOUyZMgQSCQSAP/jyB4dHY2MjAxYW1sz3QdVVVVWFhGLxRg2bBgqKyshEAggkUgw\nf/58HDt2DC9evEBnZye6urowcuRIxMbGAgCWLFkCHo8HiUSC9evX/4AEEQqFWLZsGQICAsDn8+Ht\n7Y2ysjL8/vvvSEtLg0QiQUdHBxoaGrBhwwbWf6lUChsbG0gkEjQ3NyMkJARcLhdRUVEYPXo0hgwZ\nAiKCmZkZDA0NkZubi9TUVDg4OCAiIgIPHz7EpUuXsG3bNtbPDx8+ICUlBRKJhJUAFLuTwsJC9OvX\nj9U/DQwMkJSUBGtra6iqqmLgwIEoKirC5s2bMWbMGEgkErx79w737t1DXl4eYmJiAPQhh4YNG8bG\nkZaWBh6Ph5iYGCxatIhhsZ2cnNCvXz+sX78eYWFhUFdXh7+/PyoqKlBYWIiMjAzExMSgu7sbz58/\nx4oVK9izvH37NgwNDSGRSFBbWwtNTU1ERUWhqamJfcGMGTOGIQ8UejhGRkY4evQopk2bBkdHR0RG\nRqKhoQEXL17Ezp07MW78WAz9FAv36EGADHj/5i2cnZ0RHR2NP/74A4sWLUJ+fj7LCwWahcPhIDAw\nEJaWloiLi4OZmRnEYjEjzXA4HFRVVeH06dNYunQphg4dCiUlJQwePBi3bt2CmpoaLCwsMHDgQEgk\nEmRkZMDW1hYcDueH/IyIiICmpiaGDh2KyspKFBYWYuHChSzWnp6ecHNzYxhriUSC3bt3w97eHhoa\nGti6dSvGjh0LfX19BAYGoqqqCkKhEBKJBDk5OTh27Bhrq7u7GyEhISxXMjIyWI5PmDCBOdSPHj0a\nYrGY6YufPHkSS5YsgZ+fH6Kjo/Hy5UvcuHEDOTk5DKa7b98+yOV9ZtympqaQSCR4/vw5W6kq3KW8\nvLzA5/OxcOFCNqF5enqitLQU2dnZmDJlCsuFmJgYpjOUkJAAiUSCwMBAxjyNjIxkO51JkyYx0tHU\nqVNRWloKZWVlZuO3fft2REdHIzY2Fh8+fEB1dTUOHz6Mt2/fYsaMGThx4jlKOHYAACAASURBVASA\n/3E/IiJcv34dEokEs2fPhr29PdNL0dTUxJYtWzBmzBhoa2sjMDAQFRUVLIdmz56N/Px8FufOzk6E\nhISw92nBggWs36tXr4aBgQHWr18PiUQCDQ0N6OnpoX///jh58iQWLlyIIUOGQC6XIyAgABKJBO3t\n7f934MwVk7mCLCMQCBgVWCKRsO30H3/8gQsXLmDlypWIjIxEQUEBo+I7ODiw661bt4LD4SA/Px8H\nDhyAUCiEj48PTpw4gbFjxzKYXWRkJNzc3KCtrY09e/agsLAQ8+bNQ1hYGAoKCgAAUqkUbm5uOHbs\nGHp7e9nKvKCgACdPnmTKditXroSBgQHbnhsaGmLixImYNWsWgoKCYGtri4KCAty/fx979uzB2LFj\nWX8VmseKeypWYydOnMDSpUsZKScuLg4GBgYIDAyEjY0NhEIhli9fjqysLMTGxsLb2xv5+fno7u7G\n5cuXMXz4cNbmnTt3GANNKpXC3d0dHA4HBw4cwLBhw2Bra8viPmTIEIwbN46RVI4ePYoLFy4gMzOT\n1cB7enrw6tUrODk5sXEoTDwKCgoYAUJBvunXrx88PDwYLTwlJQWLFy/GyJEj4eTkhBMnTuDFixcY\nO3YsDhw4gLq6Ouzbtw9RUVGs/d7eXpiZmbExTZ8+ncVp0aJFrKTBF/Ig/jAY3t4e4HCFSEzuK/dY\nWFiwv92yZQvGjh0LLy8vFBQU4MuXLzh37hwCAwPZ7ygsy8aOHYvp06fD3t4ee/bsYTaECoXCgoIC\nnDp1CgBw+fJlrFq16oc4NTU1wdHRkY1jx44dLE4HDx5k5wnz58+HkpISADBtdCsrK+jo6ODt27ew\nt7dnbSjkJgoKCvDrr79CIBDA398fO3fuZPRwHx8fREVFsTJbdnY2Tp8+jZ9//hkFBQWYMGEC5syZ\ngxMnTjDorK6uLgoKCvD161e2Mj9+/DgmTZoEQ0NDREVF4fz587hx4wZ0dHQQHx+P+fPnIzQ0FPb2\n9syTU6GpXlVVBU9PT5w4cQK9vb0oLCwEn89HQUEBLl++zBZMGzduxKhRo5Cfnw9jY2MEBQXBzs4O\nU6dOhb6+PkaNGgWRSIQ7d+5g27ZtGDduHItFVFQUent7sWbNGigrK6OgoADV1dVsV7Vnzx42tyje\nGUtLSwiFQixevJjJMpw4cQL+/v6IiIhAfn4+AKC5uZnlOAC2Mj9+/Dj27NkDJSUl+Pn54cSJE4iO\njsawYcPg4eGBMWPGMF7JgQMHcPr0aSxYsAAjRoxAQUEB1NXVERgYiKSkJACAgYEBCgoK0N7ejtjY\nWDZ/eXh4oKCggNXM/9PPf90DVCaToaenB+/evYNQKGQTXWxsLEQiEXp7e5Gamsq2NhkZGXBzc4OS\nkhJjmN2+fRtz5syBvr4+RCIRenp60NXVhfz8fPB4PIhEIggEAtTV1QHomxAUJ+U///wziAgCgQDr\n1q2DmZkZuyYinDlzBpMmTWJbtJ6eHqa09u/9vXXrFrtuaGiAm5sbBALBD6p0AoEAo0ePRmxsLLvm\ncrl49+4dsrKy4OfnB4FAgJ6eHnR3d6O6upr1UyaTMTelrq4u5OTkgMfjQSAQ4MSJE+yEX0lJCfr6\n+ti8eTPD9Cq26nfv3sW8efOgrKzMTsk/fvzI+g0AEydOhFAohEwmQ1paGuunghmp2LIqKSnhxo0b\nDDmk6HdXVxcjwgB9E9S/IxMUOigCgYCZUyg8JocOHcruFx4ejokTJ7LnzuVy8fHjR4a3V9yvs7MT\n3d3d4KnxYfHWD7duXUdvD/Cy6TU7JP7y5QuOHz/OPEAFAgFDsyjat7CwwKpVq9g2nc/nMwf67u5u\ndHV14cyZM6y0wOfzcerUKXz+/Bk//fQT63dGRgbc3d1/iFNZWRnmzJnDXJ7+PT8VzNKenh72+zKZ\njJXZFM+4srISCxcuZDIOij4pkFaK/yueY1JSEov53Llz4eHhwfJfYbqs6JOiJNPV1YUTJ04gNjaW\nsQ+5XC4AsFKYov8KCVw+n4/+/fujq6sLWVlZ0NPTY2Pncrn4888/ERUVxeLT3d2NxsZGbNmyBTKZ\nDFKpFCtWrGA78vXr1wMA/P390d3dzb5g6F/GFPHx8ay88euvv8LPz4+ZM3d3d+P+/ftYunQpBAIB\nW9WqqakhKCiIfYnK5XIUFBRATU2NxZ6IMGfOHHh5ebH+83g83L17FxkZGejfvz8be3t7O06ePMlK\nUIo2ASAlJQVCoRAAsHDhQhARVFRUsHLlSlhZWaG0tJSVERXPu6urC8ePH0d0dDQA4NChQwgJCWHv\nz//6A1CF67Sfnx9GjhwJVVVVmJqawtraGrm5uZgxYwbc3d0xadIkNDQ04Pz589i5cycSEhLQ29uL\n1tZWREdHIzExEXK5HDt37mQawoqHZmZmhsTERACAtbU1GhoasGfPHiQkJMDOzg4xMTGorq7GX3/9\nhV9++YW11dzcjPj4eCQmJjLncCLClClTfjB0HjFiBIyNjREXF8dstVxdXXHy5EmsWrUKoaGhSExM\nRHNzM27cuIH9+/ezNnt6euDr64vExETIZDLMmDGD9X/x4sXo378/+Hw+3NzcoKmpiX/84x8YMWIE\n1NTUEBISghs3biAvLw8zZ87ElClT0NHRgSdPnmDhwoVsHLdv32YGsf++Mo+NjcWwYcMQFBQEZWVl\nmJmZwcrKCkeOHEFaWhrc3NwwceJENDQ0oKioCNu2bWP9/vDhA4t7b28vduzYASJCQkICDh8+zL4E\nAwMDIRQKkZqaCmdnZwiFQnh7e7Nyj6KNjx8/oqKiAtu2bYODgwNu3bqFvXv3/hAnb29vFqdp06ax\nOCleMplMhqj4CDg/iYSOjjZcBjjhj2N9pZWhQ4eytq5cuYJDhw4hNTUViYmJaG9vR319PZYvX87a\nr6mpgampKdavX88Ek/bs2cNgg4rST0JCAubNm4fe3l48evQIxcXF2L59O7vXx48fMXbsWHatONNJ\nSEhg+ako8fB4PPbMJk+ejPT0dMhkMib/oGhDITeRkJCA3bt3488//0RTUxMSExORnZ0NCwsLmJmZ\n4cCBA0hJSYGTkxNiY2MxYMAAJCYmQl1dHW5ubti4cSNrs7m5GQMHDkRiYiK+fv0KiUTC7hEfHw9X\nV1eIxWJMnjwZmZmZbLd18uRJODo64t69e9DQ0MCKFSswZcoU9Pb24vXr1yzGiolTKBQiMTGRGTpP\nmjQJZ8+eBdCHBNLQ0MCqVasQFhaGhIQE/PzzzwgMDERiYiJevXqF69evIycnB0OGDGELrt7eXpSW\nlkJLSwsJCQmoqqqCo6Mjg7NaWVnBwcGBSQ37+/tDIBAgMDAQV69eZUAJExMTTJkyBQkJCejp6fkh\n7oqaOZfLRWJiIvbt2wcVFRWYmZlh8uTJDKxhbm6OAwcOIDExEfb29oiJiUFtbS1Onz6N9evXIzk5\nGb29vcw7QF1dHU5OTiwPx44di8GDB+PQoUPo7e1FcHAwIw39r5/MFSues2fPQi6X4/3799DX18f5\n8+fR29uLiRMngsvlori4GKmpqdDW1mb1WxsbG2Yc0a9fP2RlZWH//v0MZVJUVAQAGDduHAwNDXH2\n7FkYGxvjxYsXzPaKw+Hg/PnzWLJkCXM5T0pKgoGBAby9vWFubg6RSIS1a9di8+bNCA8Px6BBg1Bc\nXIyOjg4UFRXB09MT586dY6JBKioqKC4uRkNDAzw9PRkSZPjw4TAzM4NIJIKPjw8CAgIQHh4OFxcX\n6Orq4sSJE/jrr7+QkZGBYcOGobi4GHJ5n5Kgra0tu1bQpYuLi9nKXCHiLxKJMHDgQOjo6EBTUxNp\naWmYPXs2/P39YWtri/Pnz+PJkyc4cOAAgoODUVRUxGCdenp67Hry5MnsHmlpaT8gh6ytreHv7w8b\nGxv069cPO3bswP79+zF+/Hh4enqyfl6/fh2urq7sWiG0de7cOdy+fRtWVlbg8XjYv38/3NzcYGVl\nBZFIxMwHBAIBvLy8MHz4cERERMDV1RV6eno4efIkzp49i4ULFyIgIADFxcXo7e3tYzd+Ksaez4eg\noaOJ4nNFePOuGcHBweBw+sxCbt26xcS/eDwe1q5dCx0dHTg5OUFLSwuGhoZITExEWloanj17xiZO\nb29vFBcXA+g7vHJxccGZM2fg6uqKQYMGob29HVOnTmU6HuPGjYOtrW0fXNLWFqqqqsjKysLBgwcx\nceLEH+J069YttoNLTEwEn89HUFAQ0tPTweVyWSlMTU0Ne/bsweHDh5GQkABvb28MGDAAwcHBDH7Z\n09MDAwMD1nZqaip4PB6Ki4sxd+5c7Ny5E/369UNCQgLU1NRgY2OD6OhoxMXFwcvLC2ZmZiguLsbt\n27exdu1ahISEoLi4GEVFRSguLoZMJmP16eLiYlRXV0NdXR1r166FsrIyvL29kZ6eDnV1dXh4eDDm\n69KlS7F69WqEhIQwrXBNTU0UFxdDLBYjOzsb1tbWOH/+PORyOSwsLEBEGDp0KHg8Ho4dO4bRo0cz\n2QwFe7uwsJCV8wICAmBnZ4fz58/jxYsXyM3NxdChQ1FUVMTYmx4eHjhy5AibUxTcjBEjRrDnO2bM\nGNjb27N3RlVVFbt370Z2djYmTZoEb29vJn4VEREBQ0NDFBcXw9jYGGfPnmXnTESEoqIiZGRkQFNT\nk32JGxkZwcfHh8mBeHp6Mhiir68viouL2e7Ow8OD5ff/+pq54uTb19cXKSkp0NXVZaWMjx8/Ijs7\nG6NGjYJYLEZnZye+fv2KBw8eQCwWM/jikiVLoKWlhe7ublYDE4vFyMrKgq6uLvv79+/fQygUIi8v\nD48ePcLmzZsxePBgaGhooK2tDZ8/f0ZpaSnTxOju7saGDRtgYGAAoA/+xeFwIBaLcfLkSQYxUlNT\ng4GBAX755Re4u7szUs6nT59w7do1pKenQ0tLCz09PWhra0NTUxMjAsjlckY6Afpq5goNmcWLF2Pg\nwIFsi6YgiigmDTU1NXz79g0tLS3IycmBlpYWoxDn5+dDLBajt7cXd+7cgaWlJXR1ddHQ0AB3d3dw\nuVxoaGhg2LBhSEpKgqqqKis9vHnzBvv370dkZCQ0NTXR3t7O4q6rqwugr9yzbNkyNo6dO3cy/8zD\nhw+z2GhoaEBZWRlZWVkICAgAj8dDv3798PXrV9y7dw+ZmZkQi8Xo7u5mK2RtbW0kJibi5cuXbAxy\nuRyxsbEsTgoTX7FYjAULFuDr16/gcrlY8PYXKHmqQKjEh4ZIhPetn3Hq1CnEx8dDT08PAPD161e8\nffsWe/fuZXnU2dnJsM/A/2ihKCsrAwB0dXWxZ88e5r6kIGdlZ2dDS0vrhzjV1dX9ECdFfsrlcmzf\nvp3F6eDBg9DQ0ACHw2HmLIpDV8Whm2J7PW/ePNZXRc1cS0sLu3btglgsRnBwMCvVqKurQygU4vXr\n19i5cyeGDh0KsViM9vZ2locdHR24efMma7O5uRn+/v7Q1tbGp0+fEBkZCR6Px8gwX79+RU9PD7Zs\n2QJfX1/w+Xz069cPQF/JrL29Ha2trbhw4QK0tLQA9EEj9+zZw57hiRMnIBQKIRaLcfbsWejo6GDe\nvHmMI6GiogJlZWWIxWKsXr0aIpEIZ8+eRVJSEnR0dBji49OnT9DS0mKGHmlpaSgtLYWZmRlzpXJx\ncQGPx4OmpiZ8fHyQlpaGx48fo6urC/Hx8RCJRIzgA/SVozgcDh49egQdHR0AfUizjIwMFqNNmzax\n93/r1q0Qi8UICQmBjo4O3r9/D5FIBJFIhOfPn2Pbtm0YMmQIxGIxOjo60Nraijt37jCzby8vL6Sl\npTGwhra2Nr5//87OW4gIe/bsYXPL/8nK/L9G5+fz+QSA3NzcaNeuXbRx40YKCAggPz8/0tTUpMuX\nL1NxcTHNmDGD0ZyfPXtGzs7OZGxsTNOnT6fa2lri8/kUFxdH8+fPp8OHD1N1dTU9fPiQ1q9fT/fu\n3aP379+TlpYWubu70+3bt8nT05NevHhBlZWVNHXqVPrll1/ot99+o9evX5Ovry+pq6vTjBkz6M6d\nO0wgf/78+bR3716qrKykCxcu0MePH+nZs2eUnZ1NHR0dtHTpUgoJCaHRo0dTdHQ0vX37lhYsWEBV\nVVU0efJkCg0Npe7ubqqoqCBjY2Oys7OjOXPmkFAoJCMjI0pLS6NZs2ZRcHAwSaVSev36NVVVVdHX\nr18pJSWFDAwMKCQkhB49ekS5ubmUkpJCJ06coJSUFJLL5RQaGkoqKioUGxtL5eXl1NPTQ0OHDqUF\nCxbQ5MmTqaqqinbs2EHnz5+np0+fUmlpKTU2NtLu3btpx44dFBAQQN7e3qSvr083btygs2fPUnp6\nOs2dO5dKSkroyZMn5OLiQrq6upSenk5VVVXE5/MpJiaG5s6dSwcPHqQHDx6wPj979ow2bdpEXC6X\npk+fTvb29hQdHU2TJk2i+vp6mjRpEr169YpiY2PJy8uLdHR0qLKykvr160cVFRW0cuVK0tTUJHt7\ne5ozZw6pqqqSiYkJy4XQ0FB6+PAhXb16laysrIiIqJB3hcoLblBUwDgKHRlJ8o4O2rVrF129epV+\n+uknev78OVVVVVFcXBzJ5XIKDw8nfX19Gj58OFVWVpJMJiNfX186cOAAcblcunXrFonFYkpOTqba\n2lpqbW2lV69e0cqVK0lZWZlu375NHz58oJkzZ9KsWbPo5s2b9PjxY3J2diZ9fX1G1RcIBCxOChOI\nBw8eUGtrKz1//pwqKipo/PjxZG9vT+bm5tTS0kKurq60fft2Sk9Pp2fPnlG/fv0oPj6e5s6dS+bm\n5lRVVUXTp0+nrq4uevr0KV26dIlkMhn5+PiQp6cnGRsbU21tLd28eZMA0JMnTygmJoYcHR3J1taW\nqqqqSElJiTw8PGju3Lk0aNAgIiJatmwZ7dq1i2bNmkVPnz6lW7dukY+PDyUmJtLChQtp8ODBFBMT\nQ/3796fY2FhycHCgwYMHk5mZGX369ImGDBlCampqlJycTOXl5dTW1kajRo2ijIwM2rBhA1VVVVFR\nURE1NjbSggULqKKigr58+ULDhw8nU1NT0tbWphs3bpCysjJt2bKFSktLKTk5maKjo+n9+/dUUVFB\n1tbW9PjxY1JSUqI9e/bQX3/9RWlpaXTv3j06fPgwXbt2jR4/fkyXLl2iv//+m3bv3k1btmyh5uZm\nysvLo3/+85+UlJREGRkZxOPx6MmTJzR9+nQ6ffo0GRkZkaGhIaWnp9OTJ09IRUWFJk6cyOaW+vp6\nevr0KW3evJnu3btHra2tpKWlRS4uLuTu7k7m5ub06NEjunXrFk2fPp1WrFhBx44do8bGRho8eDAZ\nGRkREZG6ujpFRkaSWCymnp4eWrBgAWVlZdGWLVuop6eHnj17RlOmTCGZTEa9vb1M+uT/8/N/uqL+\n/+uj2Dq4urpi7NixCAsLg7OzM/T19VFaWorLly9j6dKlGDJkCEpKSpispKmpKUpLSyGXy7Fy5UoQ\n9fl6Kg4HFYdXISEh8PPzQ2BgILOL09bWxsOHD1FYWIgZM2bAy8uLtfX06VNYWlqitLQUMpmMqdKV\nlpYiJyeH4aXXrl0LTU1N2NraQlNTE9ra2pg5cyZSU1Ph6emJ/v37o7S0FI8ePcLu3bvh5+eHkpIS\nyGQyfPv2Dbq6uigtLQXQZxunuMeMGTPYlmzSpEmwsbGBp6cnzMzMoKysjL1792Lbtm2IiIiAu7s7\nSkpKAADX/mVPpYjRpUuXoKysjNLSUpSVlTERqKNHj8LNzY215+bmhqioKIwcORKOjo7Q09NDSUkJ\nLl68iMWLF8PX15fF5u3btzAzM8O1a9fQ29uLtWvXgsPhoLS0FLt27WJY3iVLlkAgEGDAgAHQ0dGB\nUCjEzz//jPnz58PX1xe2trYoLS1FY2MjcnNz4ePjw2LR2NgIDQ0NlJSUwNfXF9ra2igpKUFvby8m\nTJjA4jRt2jRoaOqBOIRJMZPQLQd+y/sNJp9dEZ4yGp6uHjA1M0ZpaQkqKiqwYcMGBAQEoKSkBKWl\npejs7ERxcTHc3d3ZvcvKyiASiVBaWgobGxtYW1tj48aNrK49b948qKmpwcnJiR3wrVixAlwuF35+\nfixO79+//yFOq1evZnHasWMHO09YtGgRRCIRHB0d2WpMUd6jf2nsX79+HQAY56C0tBTr1q1j5aiS\nkhIoKSnBy8sLoaGhCAgIgIODA3R0dHDx4kWcOXMGHh4euH79OszMzJCamsrG29DQADU1NVy/fh3N\nzc0YPnw4kzUYPXo0G+OoUaMYW3LevHmYMWMGBg8eDAsLC9y/f5/V6BX4fCsrK1y7do1xM3g8Hq5f\nv84O6DmcPpf6lpYWlJaWwsHBAV5eXjA3N4eKigqys7OxefNmFBYW4v79+4yXoMiD7u5u6Onp4ezZ\ns/j27RtOnjyJ0tJSJrZ36NAhDBgwgJU0Bw4cyMbM5XKxZMkSBAcHw9HREaWlpfD390dJSQm0tLTQ\n0tICY2Nj9h5lZmaCx+OhtLQUGzduZCqlRITw8HD4+voiJCQEQ4cOZfleXFyMU6dOYe7cuRg8eDB7\n71++fMnOdtTV1fHrr7/i3bt3rAzI4/FYfopEItjZ2UFbWxuamprsbPE/+fzXJvOenh7I5XLmBvP5\n82cMHz4cpqam6OrqwsSJE1liT506Fb6+vhAIBFBVVYVIJML169cxf/58WFpaQk9PDy0tLXjz5g06\nOzuxf/9+KCsrw9zcHEDftkkikcDY2BgPHjxAWloac4tZvHgxHBwc2KGEAqWQnJwMTU1N6OjoMF/M\nffv2wdjYmJlgHD9+nF3fvXsXVlZWMDY2ZiUNHo8HExMTBAcHM1chZWVlqKmpobGxEbt370ZQUBAM\nDQ3R1taG9+/fM8F+oM+zcdGiRSxGikNeU1NT9gUjEAiYRPDWrVvh7+8PLpcLbW1tvH//Hjdu3EBG\nRgaMjY3R3d2Njx8/orKykvX748ePCAkJgbGx8Q9OLsbGxkhLS4O3tzfbwotEIly7dg2zZs2CmZkZ\n9PT08PnzZzQ3N+PPP/9k/fz+/TsOHjzIrouKiqClpQVTU1PcuXOH8QQUTNXp06fDwsICIpEIqqqq\nePnyJUaMGAENDQ28fv0a+/btw4gRI2BkZPQ/cbpXBiMTCwwc6AieLh/m74bj8eMn8BjkDiMzY7x7\n0/ey8Pl8GBkZob29Hfn5+Qz1o6urCwMDA6xZswaDBg0Cn8/HggULUFNTA2dnZ3z+/Blv3rxBQUEB\nTExMIJPJ0NbWhqysLBgbG2P37t3o6upiE6WiBKHQj7l+/TrT8dDX10drayuam5tZzijidOzYMcjl\ncqioqODjx4/o7Oxksb579y7LTz09PbS2toLP58PExARr165Fc3MzjI2NmTqiorYMAMnJyeBwODAw\nMMCXL1/g4uICOzs7ZGRkwN7eHkpKStDQ0MCbN2+Qn5+PSZMmwcTEBO3t7fj06RNevXoFc3NzfPjw\nAZqampDL5SgpKWGGyxcvXsTVq1ehrq6O/v37g4igqakJHo/HuAsqKirQ0tLCx48f8eTJE2zZsgUX\nL16EUCjEqlWrAADt7e2YO3cuy7/MzExUVFQwdyUjIyNEREQgKioKQqEQu3btQk5ODmMjv3v3DpWV\nlcjMzGQ5rtAeGjJkCFatWgUej4fff/+dyU0oDGkEAgGSkpLg7+//Q5mqrKwMixYtgo2NDYyNjdHa\n2oqmpiZ0dXVh79690NbWZnHv7e3F2LFjWdwVB/TGxsZYsGABnJycwOFwGBFPIBBATU0NTU1N+PPP\nPzF+/Hi0t7dDWVkZUVFRkMv7jFd+++031uZ/+vmvlVm4XC7bPri7u1NKSgpZWlpSa2srLVu2jJYv\nX06xsbHU0NBAnz59ouvXr1N7ezuNHj2aBg0aREOGDKGrV6/Sy5cvaf78+XTkyBFauXIlxcXFkZqa\nGslkMhIKhWRvb0/JyckkFApJTU2NeDweTZ06lYYOHUr19fXU1dVFUqmUPnz4QElJSWRvb08RERH0\n+vVrysnJoYyMDDp79iwlJSURAIqMjCR1dXUKCwuj6upq+vbtGwUHB1NycjLFxsZSVVUVZWdnU1FR\nET18+JCuXLlCnZ2dtGnTJvr27Rv5+vrSqFGjyMTEhMrKyujatWs0e/ZsWrRoEZ0/f55evHhBXl5e\nZGBgQJMnT6b79+9TR0cHJSQkUGJiIu3Zs4eqq6uprq6OOjs76cmTJ7R+/XrS1dWl+fPnk7OzM0VH\nR1NSUhI9e/aMkpOT2b+DBw8mDQ0NqqmpIRUVFXJ3d6fk5GQyNTWllpYWWrJkCS1btowkEglJpVL6\n/PkzlZWVUVtbG40ePZo8PDwoICCAbty4QU1NTZSRkUG5ubm0bNkyam9vpxEjRhCfz6f4+Hiqrq6m\nt2/fUlhYGCUnJ9OcOXOYslx5eTk9evSICgsLCQBt2rSJmpqaKCgoiKKiokhDQ4OeP39OVlZWZGRk\nRCUlJXT58mWaPXs2ZWRk0KXLl+nF8xfk5eFFL5uek0o/NeKjnUquX6NhvkPoTl0Nbdy2kQ4cOECP\nHj2i+/fv04oVK4iI6Nu3b9TQ0EBZWVmkoaFBy5YtY/ctLy8nJycn+vDhA+3bt4+2bNlCLS0tFBQU\nRGpqajRx4kSqqamhN2/eUHFxMc2ZM4dWr15NLS0tdPPmTfr+/TtFRESQp6cn+fv705UrV+jly5eU\nkZFBhw4dopUrV1JbWxuFhISQQCCgSZMm0ciRI2nRokXU1tZGjo6OFBwcTE5OTuTr60uenp506tQp\nevjwIWVkZNDevXtJXV2doqKiqKWlhfLz80koFJKTkxOlpKSQpqYmicVimjdvHs2dO5dCQ0Opvr6e\noqKiaODAgaSvr0+bNm2in376iUJDQykmJobkcjnt2bOHSktLaebMmTRhwgRqbGyk+/fvE4/HI21t\nbeJyucTn8+m3336j5ORkqq6upitXrpBcLqdFixbRkiVL6O3bt5SesJB8BwAAIABJREFUnk42NjYU\nHx9Pcrmc+b6WlpbS5MmTqbOzk6Kjo6mlpYXi4uLIyMiIEhMT6eHDhySTyWjJkiW0adMm0tHRIVVV\nVbpw4QKVl5fTly9faMOGDbRo0SJKT08niURCr1+/pszMTHr06BHFxcVRc3MzxcXFkaurKxkZGVF1\ndTXZ2NjQlStXSFlZmeLj46moqIi2bt1Ko0aNorq6OpowYQLp6OjQwYMHqbu7m0aMGEGDBw8mHx8f\nKioqoqdPn1JGRgbt37+f1q1bRwkJCSQUCun79++kqalJTk5OlJycTP369WNxnz59Og0fPpwePHhA\nPT09VFNTQ0RE/v7+5OTkRIaGhhQdHU0CgYAOHz5Mly9fJgMDA3rw4AFJJBISiUQ0btw4qq6uppaW\nFkLfgvt/tweo4hBTU1MTFRUV+Pz5M8OTVlRUIDExEWKxGBwOB2PHjoWHhwcGDhwIMzMzqKiooLCw\nkBFMHBwcUFFRAblcjt27dzN0h66uLioqKtDV1YXJkydDSUkJd+/eRVNTEzuASk5Ohr29PRwcHGBg\nYAAVFRUcOHAAGzduRFBQEGxsbFBZWQkAKC4uhpWVFSorK5ltnAIDfOfOHdjY2ICIUFhYCE9PT4Z7\n9/DwQHR0NIYPHw4rKyvWr3PnzmHWrFlwdnZGZWUl5PI+z0ZDQ0Pm0v7LL7+Aw+GgsrISO3fuZFv1\n1atXQyAQwNLSElpaWlBWVsbKlSuRlpYGZ2dnmJub4/bt22hsbMTBgwfh6OiIiooKyGQyvHjxAmpq\naqisrGSHXlwuF5WVlYiPj2eHfbGxsXB3d/8h7vn5+di3bx8iIyPh4ODAYnP79m2Ym5uz2BQUFIDL\n5aK8vBwXL15kaI+cnBxYW1uzrbCjoyMSExMxatQo2NnZQU9PD5WVlbhx4wZGjhyJu3fv4ty5c8jI\nyICLi0tfnHplePX+PSz0zHHvXgWu9dyA468+ePLoGQZ7e4HDJVy6dAHBwcHQ0dEBn89njkMikQjW\n1tZQV1eHjo4OFi1ahClTpsDJyQnm5uaorq6GqqoqG8e9e/dgZmaG8vJyRufncDhYv349U72Ljo6G\np6cnnJ2dYWZmxizaDh48iKioKAwYMIA93/LyclhYWLB8lcvlcHd3h6WlJTQ0NHDt2jWYm5tDTU0N\n586dY+qMbm5u7G+ys7NZOVFDQwOVlZXo6OhgxJPbt28jJSUFGhoa0NbWRnl5ObvvtGnTmEu9vr4+\nKisrUVFRgTVr1sDV1RXl5eWsXxwOhyk7VlZWoqSkBObm5mylqTiU5XK5zO9VJBJh165dWLFiBQYP\nHgxLS0tUVlbi+/fvOHnyJGxsbHDp0iXEx8ezmCxfvhx8Ph92dnYwMDBgbGBDQ0PweDz4+/sjNDQU\ngwYNAofDwdy5c8Hj8Vgc3717h5ycHNjb26OyshK9vb14/Pgx7ty5wyChlZWVyM7OZhaSFRUVEAqF\nGDNmDLy9vdmzU1NTw19//YXs7GxIJBI4Ojri9u3bAPoE0pYtWwY1NTVoamri3r17PyDv7t27h2nT\npjHockJCApycnPDHH3/A2NgYJiYmcHBwgKGhISorK1FeXo6VK1cyp7WNGzeymCh8Sf+v0GYB+k69\nFVuxJ0+eIDs7G2PGjIGtrS2+fPnCPBRtbW0B9JlJJCcnw9bWltXMORwObG1tsX37dsYGNDQ0ZH8n\nFotRV1eHjRs3MjhjfX09GhsbUVJSwtr68uULo2LL5XJWM7e1tcXRo0cZicDIyAgqKipYvXo1gxnp\n6enh5cuXuHTpEqMEt7e34+3bt7h58ybr/7dv3zB8+HB2HR8fz+6Rnp4ODw8PCIVCJpl66tQpTJ8+\nHaampjA3N8fbt2/x6NEjZGdnw97eHkAfQiMrK4v1u6ioCNra2rCzs8OdO3dgZ2fHlCK9vLyQkpLC\nxiAWi/Hw4UPs27cP4eHhLO6NjY24d+8e7Ozs2Bb+p59+Yv1WfMHY2Nhgx44d0NLSYlt6Pp+PXbt2\nISIigvlPPn/+HGVlZVi+fDlsbW2ZH+TZs2dZm01NTfDw8ICtrS0zp1DERmEVZmtri7S0NPh6+oK4\nhCVLFiD/5CmoT9BF/6kOePziIU78WYjJSVNgY2uL79+/o7m5GbW1tbC1tWXjUej9KO5dVlbGXrTa\n2lpYWFgAAIyMjMDn85lJxcGDBzFmzBimNcPhcH6IU3d3N8tPAMzE18bGBlu3boWOjg6Lk4KMo1As\njI+Ph7+/Pyt1KdpYvHgxiAgDBgzAhg0bmN+mvb09c6jS1NTEo0ePsGvXLoSEhMDa2prJGhsYGIDD\n4eDVq1dwcHAAANTX18PJyQm2traM1Mbn82FtbY2oqCimeLh582acO3eO+Vm+evUKV65cYQQ/CwsL\nzJgxA0BfuSQzMxM2NjaQy+U4cuQIiAh2dnasZs7lcsHn8yGXyzFnzhxwOBxcuHABs2fPhpWVFU6d\nOoWffvoJ+vr6+PbtG968eYPq6mqW23w+H3FxcThz5gw0NDRga2uLq1evwsTEBBwOB+bm5nBycsL0\n6dPx9OlT2NraMkigiYkJ85LdtWsXgyY6ODhALpejp6cH8fHx7F4K5VI7Ozts3LgRRkZG4HK5MDAw\nwL1792Bvbw81NTU8evQI27Ztw/DhwzFgwAB8+vQJjY2N7EwAAEOUCQQCODs7w87OjtXMFfoy3d3d\nyM/Ph5KSEjZs2IDg4GAoKSmxvv0nn/9amQUA8fl80tPTo8mTJ5OOjg4VFhZScXExLVu2jKZNm0Y1\nNTUklUrJ3d2dLCwsKCYmhpqbm6m9vZ1mzpxJsbGxpKOjQ7W1tfTp0yd69+4dvXjxgnJzc6mgoIBO\nnz5Nf/zxBw0YMIC2bNlCN2/epMzMTOJyueTn50evX78mHx8fMjQ0JIlEQjU1NfT+/XtKSUmhmJgY\n2rZtG1VXV9PTp0+pp6eH6uvrad26dWRtbU2ZmZk0ZMgQioqKorS0NIZsUJyODxs2jIRCIT148IB0\ndHTIw8ODxo0bR4aGhkx0f+HChRQWFka1tbWkpKREFRUV9PnzZ4qKiqKAgACKjIykuro6+vvvvykz\nM5Py8/Np2bJl1NbWRpGRkQxRUlNTQ8+fP6eoqCiKiYmhlJQUqq2tpaKiIrp16xbV19dTQUEBicVi\nWrVqFb1+/ZoCAgJo0qRJZGxsTOfOnaOioiLKzMyk9PR0unfvHjU0NNCgQYPIysqKoqOj6fXr1/Tt\n2zeaOXMmjRs3jrKysqimpoZaWlrow4cP9PLlS1qwYAE5OzvTzJkzycDAgC5dukSpqan05MkTmjx5\nMitlOTg4kIWFBdXU1BCPx6MhQ4ZQbGwsubi4UE1NDW3dupW2b9/OkCSFhYX0+++/M/TSrbu3aO7C\nWbRu7SaaOm0a2f3iTkOPORN6eLRp+0YqL79L8+Zn0JgxY6ilpYWVpMaPH08ikYgiIiKotraWmpub\nadSoURQbG0sxMTFUW1tLjo6ONGrUKBo2bBj9/fff1NTURDNmzCA3NzdKTk4mkUhEf/31F/n4+FB+\nfj7x+XxydXUla2trkkgk9ObNG2pra6NZs2ZRdHQ07dq1i2pra+nLly/07t07amxspHnz5pGjoyPF\nxcXRqVOn6B//+AdZWlrS4cOHacWKFfT161fq7OykuXPnUkxMDFlYWFB9fT21tbXRq1evKDAwkHp6\neigrK4uMjIxo4sSJZGlpSTdv3qSrV6+y0lF4eDh9//6dli9fTuvXr6f3799TYGAgSSQS8vPzo9ra\nWtq3bx8dPnyYamtr6e7du8TlcmnVqlW0atUqWrFiBcXFxZFQKKTU1FR69eoVjRs3jlpaWkhLS4ue\nPn1KwcHBpKenR+PGjaMHDx7Q27dvKT4+nmJjY+mXX36huro6un//Pn358oX4fD4pKSkRl8ulsrIy\nUldXp+DgYCorK6PQ0FBas2YNVVVV0ezZsykiIoK+f/9O9fX1ZGpqSi4uLtTT00OTJk2itrY2mjlz\nJtXU1FBJSQnV1dWRVCqlo0ePkq6uLpWUlNCvv/5KHR0dlJubSzwej5YtW0bFxcU0bdo0kslkJJFI\nKCMjg4iIrK2tafz48dTS0kIdHR00Z84ciomJITMzM6qpqaG2tjZqamqipqYmOnz4MJ06dYpOnz5N\nv/32G9nY2FBFRQVdu3aNli1bRkuXLqVLly7R8+fPydfXlwwNDSkmJobq6+tp//79tHnzZqqvr6fd\nu3fTvn37yMrKing8HgkEAjp+/DgtXryYFi1aRM7OzlRWVkZERDwe7z+eVP8rH5lMxkgCYrEYUqkU\npaWlWLhwIRwcHFBfX89kJTU1NSGVSgGACe3X19dj5cqVDMGyePFi6Orq4vbt20wfQl1dHZqamqit\nrcWJEyeQmpoKGxsb1NXVQS6Xo7GxETo6OqxthQZDfX09du/ezWjbGzZsYAdPigOuNWvWYMqUKbCx\nsYG+vj5qa2vx8uVL7N69G46OjqzNv//+G/369UNtbS2+fv3KhPalUini4+MZKUexlVa0p6ysjDNn\nzmDHjh0ICQmBhYUF6urq0N3djRs3bsDExARSqRRyuRynTp0Cl8uFVCrFpUuXGGHjn//8JytdKFYh\nycnJGDZsGMzNzaGlpQWpVIorV64gIyMDAwYMQH19PYC+Fb+uri4bx6JFi1i/f/nlF4ZO+Pnnn6Gl\npcWeI4fDwbZt2zB79mwMGDAA/fv3h1QqRUtLC44ePQoLCwvU1NRAJpOhvr4eIpEIUqkUTU1NCAkJ\nAYfDQXl5OXMoV2hHq6urg8vl9unReHrAzsYOpNQP42LGwvJdIHRMdVFTU4OamhqsW7cONjY2kEql\nkMlkqK6uZoJdDx48QG9vL86fPw8ejwepVIpbt27B0tIS+vr6TMd+/vz5MDQ0ZOMSiUTYvXs3Fi9e\nDEdHRxgbG0NNTQ1tbW0/5JDCcFwqlWLVqlUsTosXL4aOjg5rj8fjwczMDHPmzIG9vT3GjBmD1NRU\nyOVyptNTW1uLxYsXM+OVOXPmQCAQMG2hsrIymJmZQUNDAzU1NSguLsasWbPg4uKCuro6TJkyBVKp\nFEZGRrh79y6LteKAXoGSCQgIgFgsBp/Px/DhwyGVSuHg4IDNmzdj+vTpcHR0hIGBAaRSKdNyUeSd\noaEhamtr0dvbi6ysLDZ2hZIjh8PBzp07WX76+flBKpVCS0sLKioquHDhAnp7e2FlZYWHDx9i06ZN\nbPes2DGrq6sjPDwcDg4O0NDQwKlTpxjRLy8vDyYmJjA2NmZlu7S0NDx58gTKysqor6+Hj48PzM3N\nUVtbC6DPMlAqlTLbR8V79O/PLjMzE6qqquBwOFiwYAEMDAxYCaSsrAxqampQV1eHVCrF6dOnkZ6e\njgEDBkAqlaK3txdv376FlpYW6uvrIZPJYGBgAGtrawAAj8fDzZs32c+VlZUhlUphamoKoVCI9evX\nIzU1Fba2tv93kIaAPkq/q6sr3Nzc8PnzZ0RERICI4OLiggkTJjDDBF1dXWhqauLixYuYP38+nJyc\n4ODggObmZtTV1eH3339nCT5o0CDExMTAzc0NISEhcHV1ZbrDXC6XUdUV+hmGhoasFpycnAxjY2PY\n2NigsbERtbW12L17N1xdXQEALS0t2Lp1K1xcXNDT04MrV65AT08Prq6uqKioYDVzBwcHeHh4YPLk\nyYyRqa2tjZqaGuzYsQMjR46Eu7s7Pn36hGfPnuHGjRusn11dXUhKSoKrq+sPMEBXV1dkZWVBLBaD\niGBubs4ckYKCgiAQCGBubo6nT5/iypUrTEtFIbdZWFjI7tHY2IhBgwbBxcUFHz9+ZDVzV1dXxMfH\nM40UBUFJwSJ0dHSEvb09mpub2QurUPr7+vUrVq9ezWJVUFAAgUAAV1dXXLhwgaEPbG1tYWlpiZkz\nZ8LS0pI5y9TV1eHQoUMYP3483Nzc0NraipcvX6Kqqgqurq4ICAjAzZs3+8YEwEjPCPMXzEHV3Sro\nffGGs6czHj9+DC8vLxav0NBQjBkzhhGALC0toaSkhDVr1jB5VFNTUzx69AgWFhb4+++/oaysjOPH\nj8Pd3R1A35fazz//P9S9Z1hUV9sFfE+hD71XRUARRYpIcUZ6R2kWFEUUBbvYABETNXZNCAlRY2RQ\nNICPxgJoNMiQRGNBI1YEFAVsVAtSpMzM+n6Y2e+TH9/15c935X3PvxGvc/a5z3322Xvd614rE05O\nTpDL5Th27Bi4XC6GDx8OuVz+tzgp8tPR0RGjR49GS0sLHj16hB9//JHFqbu7G59//jlcXFxYq/zt\n27dZ5+3ly5eRmZkJZ2dnODo6orW1FbW1tTh58iScnZ2Zns2sWbPw5s0biEQiODs7Y2hoiGn+ODs7\nw9LSEhMmTICpqSnS0tIwZswYqKqqwtzcHI8ePUJhYSHmzp0LZ2dnfPjwAU1NTbj6l2+qIsdkMhnK\nysqYDMAff/yBCxcuMMiLw/lkZqJw4YqPj4euri5sbGzQ1NSEe/fuYe/evSyXN2/eDAAYO3YsZs+e\nDRcXF5SUlCAlJYWZbhN98gz1+cuMW0NDA9ra2qyBx9nZmRmAZGVlwdXVFQMDA2hra8N//vMfuLq6\nQiaTMYba7NmzWT4o5Cb27t2LZ8+eAQCjAP76669IT0+Hi4sLHBwcWNyPHz8OZ2dnGBsbw9nZGdOn\nT4eTkxMmTZoEFxcXSKVSpiH03ybuCo0kNTU1fPz4kY1Jce/jx49nizvgk9zInj174OTkBODTB0db\nW/sfT+QA8A9KpP//HHK5nIiIxowZQxwOh21BiouLKSQkhFxdXamyspL6+vrI3Nyc1q9fT/7+/sTh\ncKimpoYSExMpLy+PfHx8aM6cOWRubk5SqZS6urqoubmZoqKiSFNTk/r7+2nXrl2UmppKBw8eZJ6Q\nhYWF9PbtWxo2bBh9/vnnFB0dTXZ2dvTq1StasGABlZSUkJeXF61cuZJGjhxJysrKtGDBAvrhhx+o\nrq6OZs2aRQ0NDQzqqayspCtXrlBFRQUJhUKaNm0aFRQU0N27d0lbW5vS0tLIysqKJBIJ/fLLLzRz\n5kxKTU2lkJAQ8vHxIXV1dbK1taU1a9ZQY2MjtbS0UFpaGo0fP5527txJjo6O1NfXR52dnVRTU0Nj\nx46lbdu20apVq2jp0qUkl8tp8eLF9PTpU4qPj6e9e/eSSCSisWPHUlxcHC1atIja29vJ39+fCgsL\nadSoUcTlcikvL4927txJx44do+DgYHJ0dCSJREIfP34kCwsLysrKopCQEFJWVqZHjx7RvHnzSCwW\nk0gkovnz55OVlRVpa2tTcnIy/fTTT/To0SNKTEykjx8/0sqVKxmzoLGxka5cuUKenp6UkpJCOTk5\ndObMGRIIBLRq1SoSCAR09OhROnHiBEVGRtLs2bNp8uTJ5OrqSkREHR0d9Ouvv5KqqiqNtLai2ke1\nxIMqnWooJW59H2kqa1JJSQmdPHmSSktLadKkSeTn50enTp2izMxM4vF45OjoSFu3bqXMzEzKysoi\nPp/PvFy7u7tp//79pK2tTRcvXiQjIyPS09OjpUuX0i+//EKPHz+m5ORk4vP5lJ6eTs7OzuTg4EAD\nAwNkbm5OWVlZFBgYSBwOhx4+fEiJiYl08OBBmjRpEiUmJpKFhQXp6OhQSkoKlZSUUHV1NR07dozS\n09PJ1dWVVq1aRbt37yaRSES9vb109+5dmj17Nn3zzTfk4+NDcXFxdP/+fSotLaWuri568eIF7du3\nj8zMzEgul1N2djZlZWVRQUEBXbt2jUJDQ6mjo4NWrlxJu3btIrFYTBoaGrRixQoiIsrOzqZjx45R\nREQExcTEUExMDPn7+1NnZyd1dnbS7t27ic/nM2jMyMiIDhw4QIsWLSIioocPH1JLSwvZ2NjQF198\nQXPnziUvLy/q7u6m5ORk+u2338jT05PS09PJ0dGRdu7cSVVVVWRnZ0c+Pj7U1tZG7e3tdPnyZTI2\nNqampibas2cPnTt3jry9vSksLIyOHz9OLS0tZGBgQOvXrycul0v29vZkbW1NERERtHPnTvLw8CBb\nW1v2PrW0tFBwcDDNnz+fiIjc3Nxoy5YtNGrUKOrs7CQAJJPJKCwsjLZv307m5uaUmZlJkyZNov7+\nfrp79y4lJCRQbm4ueXt708yZM8nMzIwGBgbow4cP9PLlS4qOjiYTExMaGhqiL7/8ktLS0ujw4cPk\n5+dH1tbWdPPmTers7KRhw4aRnp4eWVlZUUhICAmFQlJXV6eioiIKDw+ndevWUVNTEykpKdG4ceNI\nLBZTTU0NzZw5k16/fk1z584luVz+v98DVCqVYmBggLmu37t3D2FhYcypJDIyEkFBQbC0tISenh6T\nwvzhhx8QEREBMzMzNDY2AgDu3r0LPT09tLS0QFtbG83Nzeju7kZsbCyICA0NDZg7dy40NDSgrKyM\nuXPn4v79+zAzM4OOjg6UlZVRXl6OnTt3QigUwtjYGM3NzYxba2BgwH4rNCGamppQUVHBbOPKyspg\nZ2cHXV1dKCkpwdHRESkpKXBzc4OxsTG0tbXx/PlzlJeXY+nSpbC1tUVjYyMryAkEAnY/CiXH5uZm\nbNu2jakGbt68GXp6esw/ksvl4vvvv2dFUn19fTQ3N6O9vR15eXkwMTFh466rq4OysjIaGxvx8uVL\n+Pr6sq3vlClTWAU+JiYGAQEBsLCwYIXYqqoqHDhwAKGhoTA3N0dzczNkMhlu3boFQ0NDpnmjECRr\namrCTz/9xJ5lYWEhDA0Noa+vD1VVVQwfPhxpaWkIDAyEqakpdHV10dzcjKqqKmRmZsLCwoLFZmho\nCAKBAM3NzRg+fDi0tLTgIfSArbkNtPQ1cfROMQLeLgCHw8Hly5fh7u4OLS0t5lAUFxcHOzs7yGQy\n1qPw9ddfIyEhARYWFjA0NERzczOePXuGpqYmyGQy1NTUQE9Pj8UuNzcXXC4Xz58/Z+YUCrMKS0tL\nGBgYQFVVFbdu3WJ2cf8dp+rqahgYGLA4KZQBFR6Zg4ODDL67f/8+CgoKEBMTg+HDh6OpqQkAmCuW\nAk5obm5GR0cHQkNDQUR49uwZZs+eDXV1dQwfPhzNzc1QVVWFkZERPvvsM0yZMgVmZmbQ1tbGs2fP\ncP/+fWzduhXm5uZ4+vQpgzQEAgGmTJkCKysrTJs2DefPn2dw16lTp/Dy5UtkZmZCSUmJnU9NTQ1n\nzpzB559/DicnJ1YsBYDS0lKcOnWKMWsU/75q1Sr2Hunp6SEgIADnz59ncI+Hhwdmz57NOPYKez5D\nQ0MIBAJ0dXWhoKCA5YoizkpKSowjX11dDV1dXcak2rNnD1RUVBAeHo7Q0FAmIaGmpoa7d+/iyJEj\niIqKgpmZGcuFBw8eQFdXFy9evICqqiqePn2Kt2/fMq37pqYmxMfHMyhMoZ1jbm4OPT09KCsrs3lG\nSUkJd+/exebNm1kBVJHbMpkMJ06cYKYkFy5cgLGxMaRSKTPk+f86/nVD53379iEmJgYikQhv375F\nXV0drly5woTapVIppkyZAqFQCKlUykxShUIhNm/eDAsLC6b7LZfL2WR85coV7Ny5EwEBAfDy8kJb\nWxsePnyICxcuwNvbGw8fPkR/fz8SExMhEokgl8uxc+dO8Pl8CIVC5Obmso7MkSNHgs/nY+vWrfDx\n8YGSkhJsbW3x8OFDlJaWYuXKlRAKhejr60NTUxOOHj0KoVAImUyGV69ewdXVFd7e3uju7kZkZCS4\nXC6EQiHmzJnDjCoUmt//+c9/GE7p4uKCZ8+e4c8//8SBAwcgEokAfIJ7Nm7cyK5x6tQpqKurQyQS\noby8HObm5uDxeHB2dsbIkSOxYMECRnezsLDAzZs38d133yE6OhpCoRCdnZ0s7opr9Pf3s79LpVKG\nmYtEImzfvp1dQ2Gp98033yA8PBwqKiqwt7fHw4cPUVlZybp4BwcH8erVKxw4cAA+Pj4APrEq7Ozs\nIBQK0dzczMwpPDw8EBERgZCQENbkoehsjIyMhLa2Lvo/dmOirzciOudhy+ldmJ+UhEmTJuHDhw94\n9uwZysrKMHHiRMhkMuYFuW3bNvj6+gL4n23siBEj4OLigpMnT0ImkzEDDoX29f79+zFt2jSmcldX\nV4erV6/iiy++gK+vLz5+/MgMR6RSKcNdRSIRvvjiC1haWrI4KZpepkyZgmvXrqGtrY1pe7e2trI4\nLV26lOVIRkYG7OzscPjwYQiFQpibm0NLS4vh4F999RXCwsIgFArR3t6OmpoaSCQSLFq0CG5ubiy3\nb968CQsLC4ZZjx8/Hjwe72+CZurq6jA0NGSsMEVn58WLF7FmzRqIRCIMGzYMFhYWuH37Nnp7e1nD\nlFQqZdr23t7eEIvFzHVHoXmuaBYrLS1FamoqxowZg/Hjx6O5uRnW1tYs38+ePYuJEycyIbjJkydj\n5MiR4HK5aGlpwZkzZ9hixtHREZaWlli+fDkT3ps3bx7MzMzwww8/wNbWFlVVVcjJyYFQKER/fz+b\nW2QyGSIiIth7tHLlSja3ZGVlwdraGjweDwkJCQDA4n/t2jXs3bsXwcHBEIlEaG9vx6NHj3DhwgWI\nRCLIZDLW+Hj79m0MGzYMIpGIwYB8Ph/u7u549+4d8yXesWMHAgMDoaysjJEjR+LevXtM/O6fdoD+\nq2wWIqLjx4/TlStXaM+ePZSQkEDPnj1jTAonJyfy9vamnp4eev78Oe3Zs4dpajx48ID09PSoubmZ\n1q9fTw0NDaSjo0M3btwgiURCjo6O9NVXX1FlZSXl5ORQeno6/fbbb9Tc3Eze3t7U1dVFixYtoseP\nH1NDQwN99tln5OHhQVlZWVRTU0MAqLOzk+rr62n16tW0fPlyWr58OY0dO5Zu3rxJqamp1NbWRikp\nKdTW1kZr164lJycn0tfXp/r6etLW1qagoCCaNGkSWVlZUUNDA4nFYtq2bRvFxMTQn3/+SaNGjaKC\nggLq7+8noVBISUlJNH36dKqurqZHjx5Rbm4u/fjjj/TVV19VGAX4AAAgAElEQVTRhw8fKDY2ljQ1\nNSkwMJDq6uro2bNnlJycTJ6enpSYmEgNDQ30+PFjqq2tpT///JO+//57EolEtGTJEmpoaCAfHx9K\nT08nMzMzOnnyJP3xxx+0e/dumj9/PtXX19Pjx49pwoQJ5OjoSEKhkEFWO3bsoJCQENLR0aFHjx6R\nQCCg58+f0/Pnz2nevHm0evVqWrZsGWlqatIvv/xCS5cupbq6OtYosmLFCjI3N6exY8dSbW0tDQ0N\n0eTJk0koFNL48eOpoaGBSkpK6NChQ1RdXU2///47OTg40PLly0kmk9GYMWNo/fr1FBgYSFu3biWB\ntgZ9HJCSiY4uvaE++jFXTA2/PqHPPv+cAgICSCqVUn19PQ0bNoxEIhF5eHjQH3/8Qfb29vTs2TOa\nM2cOCYVCmjlzJtXV1dGuXbto8uTJlJ2dTU+ePKHXr19TXFwcpaam0uLFi0kul9OpU6coJSWFqqqq\naN68ecThcEgqldKSJUtYfu7atYsiIiLI0NCQampqSFtbm5qamujly5eUkJDA4nTjxg06ffo0NTQ0\nUEtLC+Xm5pKfnx99/PiRsrOzKT4+nmxtben+/ftkbm5O9fX1tGHDBtLT06Pa2lrS0tKijIwMsrW1\npU2bNlF5eTllZ2cz3ZzGxkby9PQkS0tLxl4RCoXk4+NDDQ0NVFlZSWfOnKFbt27R+fPnydnZmZYt\nW0a9vb3k7OxM27dvpxkzZtCff/5Jra2tNHfuXOrq6qLU1FR6+fIljR49mpydnSkhIYEaGhqovr6e\nMjIyyMPDgzIyMujx48fU09NDQ0NDVF1dTZ9//jlpaGiQUCik0NBQCgsLo8rKSqqvr6fs7GxasmQJ\nPX36lExNTSklJYVu3LhBJiYm5OvrSxMmTCAul0uZmZm0YMECSkxMpClTptDr16/pzp079PXXX5OP\njw8tX76c7t69S0FBQZSfn098Pp+CgoKor6+PfH19qb+/n+zt7UlJSYni4uJowoQJ5OnpSQMDA/Tq\n1SvavXs3xcTEkJWVFT18+JCMjY3pyZMntHHjRqqrqyNdXV26desWXbhwgUaPHk3bt2+n8vJyys3N\npZUrV1JVVRW9ePGCPD09ycHBgSZOnEhJSUl09epVmjRpEj158oQuXrxIx48fp+rqarpw4QLNmDGD\n9PX1ad26dbRmzRqytbWlyspKWrFiBYNZ2tra/lnD0F+T6r9yKID9a9euISMjA/r6+mhra2NqcRoa\nGmhvbwcAZujc0dGBtWvXMuH7jIwM2NraQl9fH5qamujo6MDly5ehqqqKjo4O/Pzzz4xX3dbWBqlU\ninfv3kFNTQ3d3d14+vQp1q9fDyJCR0cHduzYwTwId+3axVTxFIyEvLw8xkDR1dVFa2sr2tracODA\nAejo6KC9vZ1BGooxNDc3IyAggMEPkZGRUFdXZ3K+oaGhMDAwYOqFd+/eRU5ODitEdXR0sJWVtrY2\ni5HC8aajowNnz55lbeqnTp1i21I+nw9ra2usX78eXl5e0NPTg0AgYHFas2YNzM3NWZxlMhlUVFTY\nb4VtXEdHB9atW8dstjIzM5mTueJeTp48iZUrV8LMzAxaWlro6OhAf38/CgsLWWz+219VsYpUNILc\nu3cPAQEBLNYK2zNDQ0NoamoyiOjIkSMQeXlh6ONHaOhrQK97EhoePMKu3TthaGjIxt7W1gYlJSW0\ntbWxIpdiG9ve3o6LFy8y/viFCxfQ1NQEdXV12NvbM9d4Ho+Hc+fOYd26dQxCU+TR999/jzlz5rD8\nVMRp9erVLE4ZGRkYMWIEixOXy8WZM2eY3kZMTAwroM6dO5c9z2XLljHjldTUVIwePZqdo6mpCdra\n2hAIBGhtbYVEIsHSpUthYGCAjo4OAJ843x0dHWhra8OrV6/Q2tqKmzdvMrPiGzduYPz48VBTUwOf\nz4dIJMLcuXMxbNgwXLhwAcXFxVBWVoa2tjY6Ojrw/v175OfnQ1tbG0NDQ/jmm2/YDmfbtm1s3Lm5\nueDxeOBwOPjuu++gpKQELS0tqKurQ0VFBWpqamhvb2e9DUFBQXj69CkyMjJw/fp1plr6/PlzKCkp\nobW1FR8+fICysjKKi4vB4/GgqamJwsJCaGlpsfZ7S0tLbNq0ibFyOjo6MH78eKZqqGhi+/rrr6Gs\nrIyysjL2Xi1Y8Ami6+joYK5PRIQ1a9Zg1KhR0NHRgaamJl6+fMk0fDo6OlBeXo7FixfDwMAAbW1t\nrLit+LsCvlHw6hUsLXd3d2hoaIDH48Hb25u9KwUFBUhKSoKhoSG0tbXR3t6Ozs7O/xseoIqtiAIz\n9/X1RXh4OPz9/cHj8WBubg4jIyOUlZVh1apVcHFxwaRJk9DY2Ijr168jPz8fwcHBDHNevHgxgoOD\noaenh8DAQPT29rIGj9DQUMybNw/u7u7gcrmwtLSEjo4O9u7dyyrpXl5eePz4MS5fvoycnByEhIQA\nAFpbW5GRkcGcPxRynsHBwaioqGCNMh4eHrCzs0NiYiIsLS2hpaUFa2tr/P7779i7dy/Cw8MRFBSE\n9vZ2VFdX45dfPnUoymQy9PX1sRqBQjqVy+UiKCgI27Ztg5mZGXg8HkaPHg01NTXs3LkTQUFB4PP5\ncHZ2xt27d3H+/HmsW7cOQUFBGBgYQFNTE7777js27gcPHsDW1hbBwcF49eoVYwoFBAQgKiqKmUmY\nmprC0NAQZ8+eRWpqKhwdHeHn54fGxkZcvXqVmWsDQGdnJ5YuXYrAwEBIpVLk5eWBiBAUFISTJ08y\ncSJXV1cYGBhg2bJlGDNmDNTV1WFnZ4dr165h3759mDFjBoKCgvDmzRs8fPgQZ8+eRVBQENti+vv7\nIygoCDKZ7JP2hTIPaiqqqHvxCKM7Q+Bgbw8O55Polbu7O6ZNm8YYRObm5qioqIBcLoePjw84HA4c\nHR1x+/ZtnDhxAitWrEBQUBAKCgqQlZXFsOMFCxawMezbt499YI4ePQoej8e680pKSrB69Wo4OTnB\n398fTU1NuHbtGvLz81mc3rx5w/Jzz549AICQkBBs3rwZUqkUAQEBSE9Ph4eHB/z8/NDc3IybN2+i\noKAAwcHBAD41nAUHByM0NBTv3r1DUFAQOjo6EBISAh6Ph8DAQEyfPh0TJ07EuXPn8Pz5c0gkEqip\nqWH06NG4ceMG8vPzkZiYiMDAQLx//x51dXU4fvw4u8+AgADIZDI4OjpCLpcjODgY586dY+yWsWPH\n4ujRo9iwYQN4PB4OHTqE2bNnM5Gw2tpa/Pbbbyw/FSJtmzZtglwux4sXL3D79m3I5XJGMZbJZFBS\nUkJNTQ1cXFwwffp0GBgYQE9Pj2nifPHFF7h37x7Ky8uxfv16BAUFYWhoCI2NjcjOzmbXunPnDnR0\ndGBnZ8fen5ycHNbtPXbsWAwODjK7x/Pnz2PNmjVwdXWFr68vmpubcePGDRw7doyds6urCykpKQgK\nCoKenh6Cg4Px5s0bxrwLCAhAfHw8PD09oaSkBAsLC+jp6aGoqAhTp05FUFAQenp6MGfOHAQFBaGr\nqws1NTXMXvDBgwe4dOkS5HI5Tpw4AWVlZQQFBTEGmKIb958c/+rKXCqVoq6uDseOHUN8fDzy8/OZ\nu8yIESMgFouZ0D79pSG9bt06GBgYgMfjMYPbyMhIjB07FmKxmPkI5ufno7q6mrnW5Ofns6+ng4MD\nO3dGRga4XC4OHjyIHTt2sELg7NmzoampieDgYLaiWbp0Kb799lvMnz8fQqEQYrEY7969Y2pzYrEY\nwCdVOkNDQ4jFYrx8+RJ+fn7gcrk4cOAAIiMjMWLECHC5XHh5eWHcuHGYM2cOJk6cCDMzM9Z1t2XL\nFsTGxrJzNjQ0wNPTk/1WdNiJxeK/qdKtXr0aRkZG8PT0hJGREYyMjBATE4MNGzYgOjoajo6OOHz4\nMGpra3H06FEkJCSwWEilUtja2iIvLw/Ap5U5h8NBfn4+0tLSmM1abGwsDA0NMXnyZDg6OkJVVRVr\n166FWCxmTvVisRhDQ0P4448/EBYWxq5x/fp1aGlpIT8/n9HsOBwOvvzyS3h7e8Pe3h7KyspwcnKC\np6cnkpKSmLnH/v378euvv2LsqLEYQB8m+Hli/DNfPH/5CUedNm0au05rayvMzMwgFouRmJiIgIAA\nnDhxAnw+H/n5+czQmcvlgsvlMqU8hfG2k5MTBAIBNmzYgGPHjmH58uUICgpiebRo0SLk5uay/FTE\nac2aNazTMzo6muXnuHHjoKamhrS0NHA4HACAq6sr3N3dMTg4iHnz5rHnuWzZMrZrCA8Ph5WVFZ4/\nfw65XI49e/bAxMQEo0ePhlgsxv3793Ho0CHMnz8fYrEYw4cPh1gshkgkglgshpqaGsRiMW7evMkU\nNLdv344JEyZg7Nix0NTUhIODA3x8fJixwvfffw8ejwcfHx/k5+ejp6cHCQkJkMvl+PLLL3Hu3DkW\nh23btoHL5SIvLw/ffvsty8MFCxawj0xubi76+/sxf/58mJmZ4ZtvvkF5eTm2bt2K/Px8lJSUIDY2\nFvn5+QA+dQObmprC19cX+/btYxOrYtW/atUqaGlpsXfG2NgYM2bMwObNm6Grq4spU6Zg3bp1mDx5\nMptTHj58CJFIhLy8PLi5ubEcnzdvHjgcDsRiMVauXAlDQ0NwOBxMnjwZZmZm7J0Ri8Xw9vZmcb97\n9y4OHjyIBQsWMHegvr4+2Nvbs/sICQmBoaEhpk6dyiQgPDw8MGbMGKSmpuLhw4fIy8sDn8/H8uXL\nsX//fsybN4/F/cOHD/93JnOZTAaRSMSgjYiICMycOZOxTng8Hjo7OyEWixEWFgY9PT309PRALpfj\n8ePHUFFRQXd3N4MHhg8fjt7eXigrK6OzsxPR0dFMyyQ+Ph4hISFQVVWFkpISeDweamtrsXfvXnh6\nekJFRQU9PT3Mz1NZWRnv3r1jcp5EhN7e3r+xNC5evMj8LxXt0Js2bWI2aaqqqsz4YtmyZVBTU0Nv\nby978DweD729vRgYGGDuR319fWxlTn9psFhbW0NFRYWZJZeVlWHx4sVMXa+vrw8fP35EQUEBlJWV\n0dfXB6lUiqqqKnC5XHz48AG1tbVwcXEBh8NBQ0MDfH19GTQTFRWFuLg4th3m8Xhoa2vDoUOHEBQU\nBHV1dbx79w7AJ7NrJSUl9PT0YHBwkGlf9PX14dChQ0y3o6ioiMEjijboPXv2wMfHBxoaGlBSUkJf\nXx/u37+PjIwMqKqqore3F1KpFO/fvwePx0NfXx8rJHE4HHz48AGLFi0Cl8uHmpoaRq5yQvHAWTiM\nsWdsAjc3N6xduxbW1tZQU1ODqqoq3r9/z9q1BQIBlJWV0d3djTdv3jBuM5fLxe7du9HT0wMA2LVr\nF3vm+/btg5qaGoiIKe+pqqriw4cP6OjoQH5+PkJCQv4Wp/r6+r/Fae/evcyBhs/nM3/PmJgYqKmp\nobCwEJGRkVBTU2M5/uzZM2YdqKysjHXr1kFDQ4MVzV+9eoXQ0FAmNREbG4vY2Fioq6sjNzcXFy5c\nYM+0t7cXdXV12LFjB3R1ddk1Xr9+zXJEIBAgIiICxcXFLP/OnDkDfX19Bvuoq6uzd+j27dvYtGkT\nHBwc2PsDgDlL9fX1sWurq6ujr6+PPfdVq1YxCz6FuYaTkxNWr14NGxsb9v4omCOKndDx48ehrKyM\nnp4e1uuheG8U74iqqir7cGVnZzM5ZkVOTZ06FSoqKnj37h1+/PFHhIWFQU1NDX19fSzuinECgIqK\nCpO6UFZWRmtrK6ZNm8YgmRkzZiA8PJx5DXO5XNTU1OCrr75iujWbN29m7yqfz0d3dzfU1NTQ1dXF\n4q9YmfN4PJSWlsLAwIA1V/6T419ns7S3t+Pu3bs4duwYoqKiGB1t0qRJTBJSYZg7depUpp9Cf+lV\nCAQCxMTEwM7ODqGhoXByckJQUBCio6Px+vVr3Lx5Ez/99BOio6MZHfLatWtMt3jnzp1MEGrHjh2s\nuuzk5ARlZWVkZWUx7QoPDw9cv34dRUVFWLZsGWJjY5n35t69e9n4FdrO0dHRePXqFQICAtjXPiYm\nBpMmTQKPx4OlpSVMTExw9OhRLF68GA4ODggJCUF9fT0kEgm+/fZbFoPOzk4kJycjOjoaAFBQUAAO\nh4PIyEicOnWKTWZCoRAmJiZYuHAhi4+DgwMuXLiAr776CjExMYiOjkZHRweqq6tRVFSEmJgY9nH1\n9vZm10xJSQGXy0VMTAzS0tJgY2MDLpcLBwcHaGtrY9euXZgyZQq0tbUhEonw559/oqSkBBkZGSze\nT58+xebNm1lsFL6k0dHRePToEVxcXNiW2NvbGyEhIRAIBDAxMYGVlRXOnj2LtLQ0TJgwAZMnT0Zj\nYyMMDAxgZW6G+dfXwOezIHR96MajR4+Y8JpiklJo5Z84cQLr16/HiRMnwOPxmNu8wnhXoa0yatQo\naGlpIScnB3FxcTA2Noa3tzfu3r2Lc+fO4fPPP2fxnzBhAq5fvw6pVIoFCxawOK1Zs4Zt80ePHs3g\nvKioKBgYGCAqKgoxMTHo7e2FmZkZbty4AZlMxpraoqOjsXz5cjg4OIDP52PkyJHQ1taGtrY27O3t\nERwcjO3btyM8PByxsbFoaWnBn3/+iZ9++gkxMTE4c+YMc66vqKiAjo4OoqOjGWZORAgJCYGbmxti\nYmKgq6sLIyMjhIWFMe/Lmzdv4vTp01i9ejWio6MxNDSE8PBwXLlyBT09PZg6dSpiY2Mhl8tZU1t0\ndDS+/fZb9gF3c3MDj8dDeno6q6kEBATA2dkZYWFhsLGxgZ2dHUJCQlBbW8vYVQoP0TFjxiA6OhpF\nRUXIyspirCDOX1Z+enp6WLx4McaOHQt1dXU4OjpCIpHAwsICW7duxffff49du3axvFPg1srKynjx\n4gV7jgqnocjISKxcuRKjRo1imixaWlqIjo7GyJEjERISgjFjxiA8PBzR0dFoaWnBzZs3UVJSwhp/\n+vv7ERISwmI2b948SCQSREdHY8aMGQgMDISHhwdjtG3ZsgXLly9nuvSKuSo1NRVTp05lH5P/9Xrm\nCjUwkUiEUaNGQVlZGa6urhAKhZg1axaEQiEsLCxw5MgRVFZW4osvvkBsbCyKi4sBfGqTd3R0RGFh\nIZ48eYLCwkLExsYyLLigoACBgYGYMmUK+Hw+rl69igcPHmDevHnIysrCxYsXkZubi5qaGqSlpaGs\nrIy1+Z87dw4PHz5EcXExhoaGcOTIEeY0rrCN4/F4+Oyzz2BqagpXV1fmIzl9+nSsXr0awcHBGDVq\nFAoLC/HgwQPk5eVh6tSpbPxDQ0OwsbFhvxUr8+LiYmRmZjJIIy4uDqampggKCoK9vT1UVVWRmZmJ\nffv2Yc6cORCJRCguLkZ/fz9+++03+Pr64vjx4wCAGzduQFtbG8XFxX8rNu7btw++vr6ws7NjTu2K\nuCu2rvn5+bh06RI2b96MyMhIFBUVQSaTobm5GePGjUNxcTHkcjlycnKgpKSE4uJiHD58GDweD0SE\n1atXM29IExMTaGlpYd68edi4cSNiY2PZORobG/Hjjz8iKiqKnfP9+/cwNzdnvxUa68XFxVi8eDGG\nZICeviFGtE/C57lZGG1vjzFjx0BHRwc2NjYIDw/H0qVL4efnBxsbGxQWFkIul+Orr75CQkICPDw8\nUFhYiA8fPsDV1RVy+Sd/VUdHR/Y8duzYwTjy+/btYyumZcuWQUVFBUKhEEVFRTh8+DAkEgm++OIL\nREVFsTi9ePGCnU8ulyM7O5sVw2xsbNgzsra2xo8//ojLly9j586diI2NRVFREVvoODg44P79+9DR\n0WHxUuhv5+XlITQ0FNbW1uBwPplNA0BxcTFSUlKwdetWREdHw9XVFcXFxXj9+jV++uknTJkyhd3n\n69evYWpqioCAACQlJcHCwoKtfhUyBBoaGigvL8cff/yByMhIODk5QVdXF3v37sXx48exYsUKBAYG\nsnu9ffs2PD09UVxcjOnTp2PNmjUA/kdjvaioCKNGjUJWVhYmT56M6dOnQ0dHB9bW1pgyZQqDtBTv\nx6RJk1hMrly5Am9vb3at3377DRoaGiguLkZ1dTUzVVdM3omJiewd8PX1RUFBAaysrGBpaYljx47h\n119/xfbt2xETE4Pi4mLIZDK0tbUxtcPGxkYUFRUhMjIS3t7e4HA4OHToECIiIjBixAgQESZOnAhX\nV1dMnToV7u7uMDExQWRkJFxcXBASEgILCwucOHECkydPRnFxMb7++mscPHgQQ0NDrDejqKiIrcwV\nRhr6+vrM9+GfHP/qylxxSKVSvH37ljViyGQyxMXFgcfjYWhoiFWcORwOMztVbFMVq2oVFRXI5XJI\nJBL2/xXMEkVbfE1NDQYGBvD69WsUFRVhYGAADx48AIfDQUlJCWprazF8+HAcO3YMNTU14HA4uHDh\nAhISEliQFWM9dOgQ+Hw+gE87jFu3bjEstK6uDp6enuBwOHj58iVzFFFRUUFkZCTi4uJARKz55O3b\nt/juu+8gFArB5XLZA3z48CFUVVVZnBQ8XplMxgydFc0c/w0fGRkZYe/evXB3dwePx2OxuX37NtLS\n0sDj8TA4OIihoSG2zVMcSUlJ7PfixYvZ9jotLQ3jx48HEbHt5bVr17B8+XIYGhqyiUoqleLkyZN/\nO+elS5cYLn3jxg3Y2NiAz+czzFyh4eHt7f3JSeivghWHw8HHjx/Zy8ThcBg+/eJFMyw6ROAYcSCX\nDzHojcfjMX6/Quulr68Pp0+fZobOSkpKuHjxIl68eAEOhwMvLy8QEYP77t69i4yMDFhZWf0tJ8+f\nP8/uS3E/CsxcEac1a9bA3d39b3G6efMmY/pwuVzweDx0d3f/Da9PSEgAh8OBkpISli1bBpFIxFZv\nAJjTlUwmY/6ySkpKAD4tjBQSuFFRUQzukEgkTKFRYQqiiOv48eOxdu1amJiYgIigrKyMrq4u8Pl8\nJk/9448/gsP55A6kGLdCUVCR6wpfUh6Ph2+//ZYtQhT5LpfLcebMGfT19UEsFiMoKIg9I/qrh+Oz\nzz7D/fv3WWyfP3/O+jkU51DsRBUx0tLSYr0Xin9X7LwVENG1a9fA4XAwMDCAixcvYmhoCMrKyoiJ\niQGPxwPwaWWuyL+VK1fC09OT/eZwOLhz5w64XC56e3uZ09V/54TCRENxKHazihypqqqCvb09e9eJ\nCFKpFG1tbbh06RLmz5/P6gyKml5+fj6bWxTP4p8c/zo1USQSITAwENra2jA3N4e1tTWKioqwcuVK\njB8/HjNnzsSTJ08gkUiwf/9+zJo1CwDQ1dXFbOO2bduG2bNno6WlBX5+fgwjDw0NZdjnTz/9BH9/\nf+zYsQN79uzB3r17UVVVhYsXL+LcuXPYvXs3fvjhB7S1teHOnTvYs2cPFixYAABMNCg+Ph6nT59m\nmHlAQADMzMyQkJAAGxsb6OjoMPf2bdu2ISIiAvHx8WhtbUVVVRXy8vIwa9YsNukpVsP/3SgSHx+P\nzMxMWFlZMZ0aTU1NbN68GcHBwdDR0YGfnx+uX7+O48ePIzU1FbNnz8bg4CAaGhqwceNGxMfHA/jk\nJm9sbIz4+HgGaSi6PH18fBAYGAhVVVVYWFhgxIgRKCwsxLJlyzBhwgRMnz4djx8/xqVLl5Cbm8ua\nst6/f4/p06dj1qxZkMlkyMnJARFh1qxZyMvLYys6b29vqKurY9GiRaxI6ubmhosXL+Lrr7/GjBkz\nEB8fj7dv36K6uhq5ubmYNWsWw8zHjx/PrqlwnZo1axYWLVoEuRwwtDeCRYcrwsKmYPRoe0ydOhUm\nJibQ19fH6NGjcerUKWzYsAG+vr5srFeuXEFhYSGWLFmC9PR0phcDfGKLREVFsfzauXMnK4QrDHaJ\niE0eK1aswOzZszFjxgw8efIEFRUV2LdvHxtzV1cXpk2bxq6tqC0EBgbCz88Pvb29iI6OhpeXF2bO\nnImnT59CIpHghx9+QHx8PGQyGWJjYzFmzBjo6uri7du3mDVrFp49e8YYYFOnTkVoaCi8vb3B5/OZ\nQ9Xhw4fh7u6OiooKHDhwAAkJCZgzZw66urrw4MEDZGdnszx8/fo1HBwcEB8fj+7ubtbQpZgQAwIC\nIBAIUF9fj9mzZyMnJwezZs3CsGHDEBERgbt37+Ls2bPYsmULu/fXr18zN6/U1FSsXr0acrmcrczj\n4+ORmpoKGxsbGBsbQy6Xw8LCAgYGBhg9ejROnz6NjRs34saNG1BSUoKPjw+8vLwAAI2NjVi3bh0b\nv8L2TaG1FBERgenTp7Pds5ubG+Lj47F+/Xq2I1q1ahXc3d0RFxeHp0+forKyEt9//z0b/4cPH5CV\nlQUiws6dOzFr1iz2geFwOJg+fTprNuJwOLC2toalpSXy8vKQlJQEBwcH9Pb2Ys6cOYiPj0dXVxfu\n3buH7OxsTJgwAeHh4fj+++8hl8shFovB4XAwZ84cJoHL5XLh7+8PfX39/xsFUIUa2Llz5yCTyfDu\n3TuYmpqitLQUUqkU8fHxrFssOTmZdaUp9M79/PwwZswYnDt3jkEGZ8+exb1795Cbm4uwsDCUlpZC\nLv+kM21lZYXS0lIMDg5iyZIlrJC4fv161k2WmJgIY2Nj+Pj4sKLj5s2bkZ2djaioKEyYMAGlpaXo\n6+vDzz//DC8vL5SWlmJoaAhVVVUQCAQoKSnBw4cP2Sr28OHD8PX1xfDhw6GsrAx3d3f4+Piw7a+J\niQmKi4tRVlaG9PR0BAYGoqysDFKpFM3NzbC3t2f3oViZl5aWIj8/HzweDzweD1lZWVBXV4ezszOM\njIygr6+P5ORkpKenIyAggJ2joaEBYrEYoaGhLM5v3ryBsbExysrKmJY2h8PB2bNnkZKSwia82NhY\nWFtbw8/PDyNHjoSGhga+/PJLRk/771j88ccfcHNzY+csLy+HsrIySkpKcO3aNbZC3LdvH1xcXDBy\n5EgIBAKMGzcO4eHhiIuLg4eHB6ysrFBWVobff/8dWzIZZmcAACAASURBVLduRVhYGJKTk6FvZILa\n97Wwee0HPx9vlJacg1wux5MnT6Cjo4PS0tK/6UWfPn0a165dw4kTJ9hq+YsvvsD79+/ZSiskJAT2\n9vbQ1tZGbm4uCgoKMH/+fIhEIhb/W7duwcXFBaWlpXBzc4NMJkNpaSkWLlzI8jM6Ohq2trbw9/fH\nqFGjIBAI8PXXX0MsFkNXVxfjxo0DAEybNg2lpaUwMzNDSUkJEhMT2Sp58uTJcHBwQGBgIEaOHInS\n0lI8ffoUtra2KC0tRU1NDfbv34+QkBAW88HBQVhYWKC0tBQqKiooLS1lGDKH80nJ0s7Ojo3JxsYG\nsbGxmDt3Lry8vDB8+HDWLWtpaYmhoSH8+uuvjOr4888/w8HBAUNDQ8jIyACPx8PZs2exbds2qKur\ng4jYrkooFMLS0hJKSkqQSqVwc3PDqVOnUF5ejo0bN7J38/r16/D394e9vT1qa2vZs3v+/DkTNlPU\nNdauXQsej4fx48czE5lly5Zhw4YNzNczNTWVsdmAT8X6b775BhwOBxMnTkRJSQk+fvyIadOmsfdo\n3rx5MDY2Bp/PR1RUFOzt7eHv7w87OzuUlJTA29sbI0eOxJkzZ5jwXlhYGMrKylh9z9LSEmVlZQA+\nrcz19fVx+PBh8Pl85OTkMPMbDQ0NpoSooB3n5ORgxowZbG4ZGBiARCKBp6cnSkpKIJVK/7Ge+b8+\nmfv7+yM5ORna2trg8/mMaXDkyBGEh4dDT08Pg4OD6Ovrw5MnT6CtrQ3gE+aclZUFLpeLy5cvQ0VF\nBa9evWI8dQ0NDURHRyM2NpZtzVRUVPDixQtkZ2fDw8MDurq66O/vR09PD27cuAGBQMC2NV999RXT\ng1CY02pqauLUqVOsoURLSwumpqbYtWsXPDw8wOVyWVX/999/x8qVK9k5P378iNbWVmhqarJ7nzlz\nJrS0tAAAS5YsAZfLhUAgwPr16+Ho6MjOx+VyIZFIsHjxYujp6UFDQwMfP35k+hQKRbn+/n6UlZVB\nIBBALpejqqqKTZQKNoviGr6+vsyNRllZGSoqKvjw4QPy8/MRGhoKDQ0N9Pf3o7e3F48ePWKxkEql\n2LRpEwQCAWsg4fF40NXVxeHDh6Gqqgo+nw9VVVWoqqriwIED8Pf3B5/Ph4qKCmOwfPbZZ9DS0mIQ\nQU1NDfv95s0bhIaGsvuYNWsW+Hw+9PT0sGjRIkgxBP44FRjutIPmX40+6zPWY8SIEeDxeFBVVUV3\ndzfKysqQkJAATU1NyOVyfPz4EZ2dnThw4AAEAgEMDQ2hpKSEa9euQSqVYt26deyaigYygUCA7777\njkE/CgaQWCyGQCCAhoYGBgYG0Nvbi/r6+r/FSSGjOjg4iOzsbAwMDOD8+fOYN28eBAIB87YUCAT4\n+PEj+vr68OLFC2hpabHdW3p6Oss3gUCAhoYGiEQiFvPQ0FCmDaKALxSNXL29vWhoaMD27duhp6fH\nejsU2DIAvHz5EgEBAVBRUWHvmoLNwuVyoaamBg0NDUilUnA4HGhoaGDLli1wdHRkDJWenh5UVFSw\nex0cHMShQ4ego6ODwcFBBhUqIA3FqllDQ4PJHCgKjwo2z4ULFyAQCBjLQ1NTEwAwODjIGGVSqRS/\n//47LC0tkZ6ejnHjxkFTUxPbtm3DiBEjwOfzmWKmgiDQ3d3NajRaWloYHBxEb28vnj59Cm1tbQad\npKeng8vlMmabolbB5XKhoaGBiIgI5uzE5/OhpKSElpYWJCUlQVtbG7W1tdi5cyd0dHQwNDSE/v5+\n3LlzB9ra2ujr62PQjGJlrqmpiRMnTrBxqqmpwdTUlOXSPzn+dZ75woUL2cp83LhxSE5OxsDAAOLi\n4sDlcpGcnMyYGUSEcePGwdTUFNu2bUNkZCRMTExgbW3N/t/Lly/x22+/IScnh+lDS6VSeHl5ISUl\nBQCYXnRycjLWr1/PsFF3d3doamoiLS0N/v7+0NPTQ1hYGCQSCfLy8rBo0SIsXLgQQ0NDqK2txdq1\na9n4q6qqYGpqiuTkZDx69Ig1KM2ZMwf+/v6YNGkSc2extbXFwYMHsXDhQowbNw5z585lusi7d+9m\n4+7o6GA61/+tfZGcnIyCggLWCaugDyYlJbEVgJeXF06dOoVt27YhOjoaycnJ6OjowI0bN7B7924W\niw8fPsDJyQkLFy6EVCplxcbk5GQsWrQI9vb24HK5GD9+PIyMjLBp0yZEREQw/vS1a9dw7NgxrF69\nmo376dOnWLJkCVJSUiCTyfDLL79AW1sbycnJuHr1KmxsbEBEmD59OlxdXVkXrJmZGRwcHHD06FGs\nWLECXl5eSE5OxpMnT3DhwgXk5uZi0aJFGGk/EnvaDyLzajY2bdyIlIULIP3LKmzEiBFYuHAhWlpa\nEBwcDCLCggUL0NjYiJMnT7LuzLCwMBgbG2Ps2LEAwIqPVlZWmDp1Kq5fv47i4mKkp6cjOTkZANDU\n1ISkpCQkJSWxe1XkxOjRo8HlcuHq6gpjY2Ns2bIFU6ZMgbGxMWJiYpCdnY2CggLGbMrPz2fYbXJy\nMubOnYsxY8aw5hYTExPs2rULU6dORUpKCpycnBAREYEFCxagtbUVV69eRU5ODovx0NAQw8L7+/uR\nkpKCS5cuwcTEhDF47OzsEBUVBRMTExgaGsLFxQWFhYXw8/NjzvDLli1DSkoKhoaGUF9fj9LSUsyf\nPx8ODg4oLS0F8D9CcCkpKdixYwfr+xCJRFBVVUVqaiqjHMvlclZ4r6urw/nz5/Hll1/i3r172LBh\nA7Zt2waZTIa6ujoMGzYMCxcuRHNzM9atW8c+nhwOhznvJCUlMeqvYtfU1dWF5ORkfPbZZ9iyZQuS\nk5NZITMuLg5qampYtWoVvL290dfXx1bmycnJDBbh8Xh/i3t0dDQsLS1hZWWFhQsXIjk5GS0tLbh8\n+TK++eYbLFy4kM0t7u7u7Jr29vawt7dHfHw8ZsyYgalTp2L06NGYPHkyc32SyWTQ0tICEeHXX3+F\nWCzG0qVLkZycjKGhITx+/BirVq1ic8v/ephFQYVzdHRETEwMq5KbmZmhoqICv/32GzZu3AhfX19I\nJBJGz7O0tERFRQVkMhm2bNmCw4cPo6KigrXs+vv7s45Jb29v+Pr6IiQkBA4ODtDX18dPP/2Es2fP\nYuXKlZg4cSIkEglkMhmePn0KOzs7SCQSAGBC+5WVlRCLxawosmXLFggEAtZibWxsjCVLlmDJkiXw\n9PSEjY0NJBIJ6uvrsX//fgiFQlRUVGBoaAjd3d0wNDRk9zNnzhxwuVxUVlZi6dKlTNhr1qxZsLGx\ngYeHB4YPHw4NDQ3k5uZi//79iIqKgouLC8rLyyGTyfD7778zWpZcLkd5eTlUVVUhkUhQVVXFIA2F\n9viIESOgqqqKcePGYfLkyZgyZQqL+6VLl1BeXo7MzEz4+fmxWLS2tmLYsGGQSCQYGBhgtnEVFRXM\nl5TD4WD9+vVMMVJhk5WWloa0tDRMmjQJo0aNQkVFBV69eoVjx47By8uLPcsXL15AT08PlZWVzDaO\nw+FAIpFg5syZDMaYMmUKJBUVcK+NhbXzMGhq6cPKyhJz587FggUL4ObmxsZaXV3NuO0SiQQVFRUY\nHBzExYsXme716dOnsXz5cgwODmLDhg3smrt27WKr8NTUVGhqasLNzY29kBs3bgQRsXMDQHt7O6ys\nrFictmzZAiJCZWUl7Ozs0NLSgurqalRUVKCnpwd//PEHtmzZwmItk8nw4cMHWFlZsa5AhVDapUuX\nMHz4cBQWFkIkEjEYw93dHcHBwSgvL2eTmULcqqKiAm/fvsWJEycwYcIEliN1dXXQ1NSERCLBy5cv\noaenh4MHD4LP52PcuHGsw9PBwQE///wzvL29sXTpUujr66O4uBjHjx/HwoUL4e7uzu794cOHGDly\nJBu3os40duxYyOVyVFRUYP78+UzfX5HvFhYWSEpKQmJiItzd3TFs2DB4e3vD29ubFVyvXr2KMWPG\nQCKRYHBwEOfOnYOSkhIkEglcXV2hqqoKOzs73Lx5E0SEpKQkWFpaYvz48bCysoKamhoMDAwgkUjw\nyy+/4MqVK9i0aRP8/f1x6dIlyGQyvH//nj07ANi4cSPy8/NRWVkJmUyGoqIi+Pj4wMrKCnw+HxMn\nTkRAQACjLBoYGOD8+fMoKyuDk5MTrKysMGzYMEyYMIGd48mTJ6wDHQAqKiqQl5fHiAybNm2CkpIS\nU4rU0dGBXP7J4+CfHP/6ytzIyAjAJyXAwMBAGBkZQSaTYebMmeBwODAyMkJycjJrlFBXV4eSkhKu\nXr2Knp4ePH78GG5ubli8eDGMjIzQ39+Prq4uNDY2wtTUlAUjLi4ORkZGkMs/Obnw+XyYmJggMzMT\n48aNA4fD+ZseR1JSEnR0dKCjo4Ouri60tbXhhx9+gJmZGYaGhtDb24tTp07B2NgYAHDr1i2MGDEC\nRkZGqKurY6sRAwMD+Pn5ISEhgUmwqquro6WlBbm5uUxutqenB2/fvsXt27dZDIaGhrBhwwaYmZkB\nAHJycpjn6JEjRxiDQuGEo9B0UUApb968wY0bN5Ceng5jY2MMDg6iq6sLd+7cgbGxMZs8FKtUAEhM\nTGRxX7x4MWN6qKurg8/n48qVK1i9ejWGDx8OIyMjdHV1obW1FSdOnIC5uTmAT3xbsVjM4q0wdDYx\nMcH169cZX11fXx/Ozs5Yvnw5TE1NoaysDIFAgJaWFhQWFmLq1KkwMjJDb18/3r17i6dPn2LhksUQ\ninxg3eqKlt5W/FJ+CUbGxpD9hZkr6hAKzJyIYGhoiP7+/r9h5r6+vqirq8OKFSvA5/Nx69YtZGZm\nwsHBAYaGhuju7kZHRwdKSkpgZGTEoLL9+/fD1NQUBw8eBID/1/y8du0a1q1bx/wfBQIB7t+/zwwL\nGhsbER0dDSKCsbEx5s6dyzR8FI1NRkZG0NLSgp6eHsaOHYvU1FSYm5ujv7+fteMrCoivXr2CXC6H\njo4O1NXVYWRkxNgsRAQ9PT3Y2dkhPT0dtra2UFJSYpDSmTNn8O7dO7S3t+Po0aPsnezr64OZmRlk\nMhnmz58PExMTAGB6RmZmZtixYwcr1iukh48fP44jR46gvb0d06dPR3h4OIyNjVlTjpGREVJSUnDh\nwgWW67W1tXB0dISxsTHu3buHM2fOYO7cuSzHtbS0wOFwcODAAQQHBzOY6e3btzAzM4OZmRnu3LmD\nK1eusFweHBzEjh070N7ezmDJ/v5+xMbGMtbX/Pnz4ePjAyJizYo3b95ET08PIw0sXbqUzS3v37/H\nkydP2Nwil8sRExMDExMTJjeh4O5LpVLo6enB3t4ea9euxePHj3Hx4kXk5OQww52uri60t7fjyJEj\nf8uz//znP+w5/NPjX1VN5PF4xOfzycXFhRYtWkS2trbU1dVFa9asoc2bN9Ps2bOppqaGWlpa6PLl\ny9Tb20tRUVE0btw4On/+PJ04cYI0NTVJKBTSvXv3KDIyksLDw2lwcJBu3bpFFhYWZG9vT4sXLyYl\nJSUyMDCgJUuW0NKlS2nSpElUV1dHb968oerqaurs7KTk5GQaMWIEhYWFUXNzMx05coRWrFhBZ8+e\npYULF5JMJqOIiAjS19eniIgIqq6upp6eHvL19aXFixdTfHw8VVdX04EDB+j8+fNUX19Ply9fps7O\nTsrJyaH379+Tt7c3+fv7k4mJCVVVVVFlZSWlpqZSRkYGXbx4kZ4/f05OTk5kYmJCCxcupNu3b9PA\nwADNnDmTlixZQt999x09ePCA7ty5Q4ODg1RfX0//T3vnGhTVla7hF7BtaQRERERA2N2R2CAoNxPx\nfokj6ggEHFpAQRQhKMYkKholYhJiGA1JDGPMjMaKl9Q4RRQlEdQ5GRyFJjFgd3PxQrxFUTCmVewE\nufV7fli95vjPU3Oq5hS1n3/7z9qr11791d7r+7733bZtG1QqFXJycqDVapGQkID09HQ0NzcjLS0N\nly5dQkpKCl544QW4u7ujrq4OKpUKYWFhyMzMhLe3N+7evSvmERcXh8uXL6OlpQVVVVWwWCx4+eWX\nERQUhIkTJwr1yVdffRVffPEFNm3aBIvFgpkzZ0KpVCIlJQVGoxFmsxm/+93v8Morr+C1115DXV0d\nDh06hNraWly4cAHffPMNHj16hI8++ghr1qwRvpVKpRIHDx5ERUUFVq7MxrKli3Gh6RIMJiPGBo3G\n5OkzcUFVieUpmThfex7s6ULU+PHIysrC1KlTUVdXh/feew+7d+/GpUuXYDAYkJubCwDo6OhAdHQ0\nTp48iaysLGRmZsLe3h7h4eEoLS3FxYsXkZOTg507d6KwsBD379/H1KlT4eTkhNTUVNTV1aGtrQ1H\njx5FZmYmtm/fjps3b+LMmTNifwYHB2P8+PE4efKk8BAFgL179+L777/HnDlzoNVq0dDQgIyMDFy6\ndAk3btzA3r178fjxY8yePRuhoaF45513kJeXB0dHRxw/fhw7duxAeno6Zs2aBQCoq6uDu7s7Xn31\nVajVapw6dQr79u3DpUuXUFdXh2PHjgklz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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rule 110 Zoom\n", "# http://uncomp.uwe.ac.uk/genaro/rule110/ctsRule110.html\n", "figs(\"rule110-zoom\")" ] }, { "cell_type": "markdown", "id": "45c0dd1b", "metadata": {}, "source": [ "(Finite Circuits and Turing Equivalence)\n", "\n", "problem:\n", "\n", "- neural networks are necessarily finite size\n", "- Turing equivalence means that something needs to work for arbitrary sized inputs\n", "\n", "solution:\n", "\n", "- same as in circuit complexity\n", "- we give a general rule for how to build circuits of all sizes\n", "- we give a rule determining from the input size how big a circuit should be constructed to solve the problem\n" ] }, { "cell_type": "markdown", "id": "af736d37", "metadata": {}, "source": [ "We start off with defining a size for the input, a number of iterations to run, and an initial random boolean vector.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 274, "id": "a8313a71", "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = 100\n", "niter = 100\n", "vstart = 1.0 * (rand(N)>0.5)" ] }, { "cell_type": "markdown", "id": "71c5b810", "metadata": {}, "source": [ "(Encoding Rule 110 as Matrix Operations)\n", "\n", "The idea behind encoding Rule 110 as matrix operations is the following:\n", "\n", "- we observe that there are only two cases where the output is zero\n", "- all bits in the 3-neighborhood are 1: $111$ $\\rightarrow$ zero output\n", "- the two rightmost bits are 1: $?00$ $\\rightarrow$ zero output\n", "\n", "Given a vector $(...,x_i-1,x_i,x_i+1,...)$, we can test whether all three bits are 1 by computing a dot product:\n", "\n", "$$ (0,...,0,1,1,1,0,...,0) \\cdot (...,x_i-1,x_i,x_i+1,...) \\geq 3 $$\n", "\n", "We can do this for every 3-neighborhood by constructing a _circulant matrix_.\n" ] }, { "cell_type": "code", "execution_count": 275, "id": "ecd5b5f5", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1\n", " 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0]\n" ] }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# counting the number of bits\n", "Mall = linalg.circulant(1*(roll(arange(N)<3,-1)))\n", "imshow(Mall,interpolation='none',cmap=cm.gray)\n", "print 1*(dot(Mall,vstart)>=3)" ] }, { "cell_type": "markdown", "id": "17d13fd6", "metadata": {}, "source": [ "With the same idea, we test whether the two rightmost bits are zero.\n", "\n" ] }, { "cell_type": "code", "execution_count": 276, "id": "91732926", "metadata": { "collapsed": false }, "outputs": [], "source": [ "Mlo = linalg.circulant(-1*(arange(N)<2))" ] }, { "cell_type": "markdown", "id": "99866b22", "metadata": {}, "source": [ "We can now put these two ideas together and compute vectors $v_{111}$ and $v_{x00}$ that indicate whether we are in a $111$ or $x00$ neighborhood.\n", "\n", "We can then compute another threshold function to compute the NOR of these two vectors to get the final output." ] }, { "cell_type": "code", "execution_count": 277, "id": "24034daf", "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Rule 110, two steps\n", "v = vstart.copy()\n", "result = []\n", "for i in range(niter):\n", " result.append(v)\n", " v111 = (dot(Mall,v)>=3)\n", " vx00 = (dot(Mlo,v)>=0)\n", " on = (-1*v111-1*vx00>=0)\n", " v = 1*on" ] }, { "cell_type": "markdown", "id": "1d6197d6", "metadata": {}, "source": [ "This actually looks quite nicely like Rule 110 ought to look.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 278, "id": "25124a91", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 278, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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27P/Mzc2JwcFB8frrr4uHHnpICCEK7W+tVhMbNmxY9X6Rff7oo49Ed3e3WFxc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\nAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(array(result),interpolation='nearest',cmap=cm.gray)" ] }, { "cell_type": "markdown", "id": "71bc4694", "metadata": {}, "source": [ "(Single Recurrent Neural Network)\n", "\n", "This isn't quite a recurrent neural network yet.\n", "\n", "To get that, we pack together the vector $v$ with two variables representing intermediate states of the computation.\n", "\n", "If you work out the matrix multiplications, you'll see that this outputs a row of the original output every other step.\n", "\n" ] }, { "cell_type": "code", "execution_count": 279, "id": "57c81e93", "metadata": { "collapsed": false }, "outputs": [], "source": [ "Z = zeros((N,N))\n", "v = concatenate([vstart,zeros(2*N)])\n", "M = array(bmat([[Z,-1*eye(N),-1*eye(N)],[Mall,Z,Z],[Mlo,Z,Z]]))\n", "b = concatenate([zeros(N),3*ones(N),zeros(N)])" ] }, { "cell_type": "markdown", "id": "400229d9", "metadata": {}, "source": [ "(Weight Matrix)\n", "\n", "This shows the weight matrix of the single layer recurrent network for Rule 110.\n", "Note that all the green entries are 0.\n", "We can greatly speed up such computations using a _sparse matrix package_." ] }, { "cell_type": "code", "execution_count": 280, "id": "083276d0", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 280, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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D8HESBh7WLVIx43U7O5+VlkH4NgkDL/hxb8WCIw18/pqFD34rLYPwTRIGXnTz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "imshow(M)" ] }, { "cell_type": "markdown", "id": "d10b2cf9", "metadata": {}, "source": [ "After this packing, the entire inner loop is a simpler recurrent layer of linear threshold units.\n", "\n" ] }, { "cell_type": "code", "execution_count": 281, "id": "3c521144", "metadata": { "collapsed": false }, "outputs": [], "source": [ "result = []\n", "for i in range(2*niter):\n", " result.append(v)\n", " v = H(dot(M,v)-b)" ] }, { "cell_type": "code", "execution_count": 282, "id": "4ef67786", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 282, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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j1PopHRMlfqR+cwrHUsE2bNO1Iteq3/hvi3ql/FgLopTyTsVgrY7H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\nueM4TuX8H1eUDbkkphuUAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result = array(result)\n", "imshow(result,interpolation='nearest',cmap=cm.gray)" ] }, { "cell_type": "markdown", "id": "a2e36122", "metadata": {}, "source": [ "To extract the Rule 110 result, we just take every other output, and we ignore the intermediate results.\n", "\n" ] }, { "cell_type": "code", "execution_count": 283, "id": "f9c16c08", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 283, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SL5mc75xQ5Y/LufUtrrLBpegoZsGTilC7S6bXIyM9IU0GBz0hTUZhFvJCP+Bim0aHqL23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\nAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(result[::2,:N],interpolation='nearest',cmap=cm.gray)" ] }, { "cell_type": "markdown", "id": "6a005190", "metadata": {}, "source": [ "(Summary)\n", "\n", "- we implemented Rule 110 as a recurrent, single-layer neural network with McCulloch-Pitts neurons\n", "- Rule 110 can emulate a tag system\n", "- a tag system can emulate a Turing machine\n", "\n", "Therefore, recurrent single layer neural networks are Turing complete.\n", "\n", "We also could emulate a Turing machine directly." ] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }