{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# SYDE 556/750: Simulating Neurobiological Systems\n", "\n", "Accompanying Readings: Chapter 6\n", "\n", "Terry Stewart\n", "\n", "## Decoder Analysis\n", "\n", "- What functions $f(x)$ can we accurately compute from a group of neurons?\n", "- Examples:\n", "\n", "$f(x)=x$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import syde556\n", "a = syde556.Ensemble(neurons=50, dimensions=1)\n", "\n", "x = numpy.linspace(-1, 1, 100)\n", "ideal = x\n", "d = a.compute_decoder(x, ideal, noise=0.2)\n", "A, xhat = a.simulate_rate(x, d)\n", "print 'RMSE:', sqrt(mean((ideal-xhat)**2))\n", "subplot(2,1,1)\n", "plot(x, ideal, color='k')\n", "plot(x, xhat, color='b')\n", "subplot(2,1,2)\n", "plot(x, A)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "RMSE: 0.0141812072763\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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wwQdO6OuLjnrh0SVa/MIjLz0dDh6EnTurOHpUC6WyHIXiPJ06VfDkkxZMn+7OkCF66Onp\ntXeogvDQEolfeOjV1MCWLSq+/LKK1FQZ2tqRSNIBQkN1mDbtCYYNG4ahKJcVhBYTXT3CQyknB377\nrZ6ffirk5EkLJOkkdna7mT7dhIkTx9GnTx80xColgiCmZRY6JkmCjAw4dgx++62aI0caKSuTIUlH\ncHfPYto0Y2bODMbNza29QxWEh47o4xc6BKUSLl6E48fh+HGJiIhGamrq0dI6SUNDOE88ocFzz/kR\nEjIKU1PT9g5XEB45osUv3HeSpE70u3apW/WxsRImJtUYGZ2nsPAXTEzOM2lSL8aPD2XgwIFoaYn2\niCC0lGjxCw8NhQLi42H3bvj5Z6ipUdK16xUqK8NQqVbTqZMjoaGhhIbOpUuXLi2e8E8QhNYTiV9o\nE0olnDsHkZEQEQHHjknY2dVja3seXd01FBRsx9h4GDNmhBIScgorK7HWrCC0F5H4hXtyY6KPjFR3\n4Tg4SHh65gGHsLD4htraAnr0GEdo6GSCgr5GV1csOygIDwPRxy+0WEMD7N8PmzZBeDg4OED//vUY\nGp4mK2sTUVHb6Ny5M+PHj2fcuHH4+vqKLhxBuM/EcE6hzSkUcPQo/PILbNsG3t4walQRKtUOIiO3\ncurUKYYMGUJoaChjx47FwcGhvUMWhMeKSPxCm1Aq4dAh2LwZ9u4FNzcJf/9sNDS2cPTo95SUlDBm\nzBjGjx/P0KFDRdWsILQjkfiFVklKgnXr1F05Dg5KfH0TqKjYSFTUD9jY2Pw+CidUVM0KwkNEJH7h\nrkmSupDqv/+F6Gglfn4Xqa39lvPnNxMYGEhoaCjjxo0TVbOC8JB6oOP4S0tLmTp1KpmZmbi6urJt\n2zbMzMxu2c/V1RUTExM0NTXR1tYmLi7uXg8ptKGyMvj5Z4n//a+GvLw6DA1XoVR+jY1NMKGhoYwc\n+bmomhWER9Q9t/gXLlyIlZUVCxcuZNmyZZSVlbF06dJb9nNzcyM+Ph4LC4vbByJa/PddZSXs2tXA\nt9+Wcvq0CZqahzEz28PUqcZMmDBOVM0KQgf0QLt6vL29iYqKwtbWloKCAoKCgrhy5cot+7m5uXH6\n9GksLW+/zJ1I/PdHZib88kslGzfKuXTJEkk6gZvbaZ59Vo+pU0eLqllB6OAeaOI3NzenrKwMUK9t\namFhcf37G3Xu3BlTU1M0NTWZN28ec+bMaToQkfjbhEoFERESa9fKCQ+XkMtlyGTh+PnlMGuWHU8/\nPVxUzQrCI6TN+/iHDx9OQUHBLX//6aef3nLg5lqNJ06cwN7enqKiIoYPH463tzeDBw++qyCF25Mk\nOHeukS++yCUszJT6+nz09XcxcqTECy/05sknQ0XVrCAI19028R86dKjZn/3RxWNnZ0d+fj42NjZN\n7mdvbw+AtbU1EydOJC4urtnEv3jx4utfBwUFERQUdIfwH0+SBFlZcOBANT/+eI1Tp0ypr6/E2voE\nzz5bxdy5ffH1fVd04QjCIygyMpLIyMhWvUerHu5aWlqyaNEili5dilwuv+Xhbk1NDUqlEmNjY6qr\nqxkxYgQffvghI0aMuDUQ0dXTLEmCxEQ4cgT27asiOlqipkaBJB2jS5ccpk2zYNasITg6iqpZQXjc\nPNA+/tLSUqZMmUJWVtZNwznz8vKYM2cOe/fuJS0tjUmTJgGgUCiYMWMG7733XpsF/yiTJDh5Elav\nVrFnj4LGxmo0NI6gUkUyYoQhzz47gGHDRNWsIDzuRAHXIyA3F37+uY4vv6yntLQOSfoGR8c4nnrK\nX1TNCoJwC5H4O6CqKjh4EHburOLAAQVlZRpI0iF69Ijl+eedGD9eVM0KgtA8kfg7iJQU2L9f4qef\nKomP10VX9ywKxV6CgpQ8/3wvRo8eKapmBUFoEZH4H1LFxRAVBQcOKNi9u4GKigbgECYmR3nqKWMm\nTx4pqmYFQbgnIvE/JCQJzp6FLVtg714F6ekqTEwuIpf/SteuOUyd2o3x40NF1awgCK0mEn87S0uD\nTZskvv++gfLyWvT1d1FWtpERIyyZOHEsISEhompWEIQ2JRJ/Oygrg+3bFaxYUUVyshba2jvQ09vO\nU085MX58KEFBQaJqVhCE+0Yk/gegoQFOnIDdu+sIC6smM1MfmSwCF5dInnnGlEmTxoq1ZgVBeGBE\n4r9PCgrUi4xv3VpFZKQ22trp1Nfvxt+/lGefdWfixBCx1qwgCO1CJP42Iklw6hTs2KHi119ryMzU\nRFf3KJK0l3HjtJgy5QmGDRsmqmYFQWh3IvG3Uno6rFtXz7p1DVRW1qBQbMHO7gxTprgwceJYUTUr\nCMJDRyT+uyRJcOkSbNhQzrZtDRQU6ABb6dXrIjNmeBIaKqpmBUF4uInE3wJKJURHS6xefY29e7Wp\nrq5HJtvF4MHFzJ7dhZCQEaJqVhCEDkMk/mYolXDkSD1ffVXAkSNmKBS5GBkdZsyYRmbP9mfw4EGi\nalYQhA5JJP4bFBbCr79W8OOP1zh92pLGxmycnU8yZYqM2bOHiKpZQRAeCY914q+qgqgoiW3bSjl4\nUElRkT4y2VG6d89j+nRLZs8eIqpmBUF45LT5mrsPs4YGiImBgweV7NpVydWr+mhqnkVH5xjDh2sw\ne3YPhg4dJqpmBUEQ/qJDtfgzMtRz14eFNRARAXp6OVRX78bFJZkpUxx4+ukQUTUrCMJj5V5a/Pc8\nKP3nn3+mW7duaGpqcubMmWb3279/P97e3nh6erJs2bIWv78kQXIyrF0Lzz0Hjo6N9OhRzb/+Fc7h\nw68ycOBsliwJJy1tMklJK/jkk3/Qq1cvkfSh1QsxCzcT57NtifPZ/u65q6dHjx7s2LGDefPmNbuP\nUqnktddeIzw8HEdHR/r06UNoaCg+Pj5N7n/hAhw7BkePwtGjEipVA1ZWiZSV7aSh4RBTpvgQGjqO\nYcO+FFWztxEZGUlQUFB7h/HIEOezbYnz2f7uOfF7e3vfcZ+4uDg8PDxwdXUFYNq0aezatavZxD9p\nkgpX1yzq6w/T2LgSO7s6QkPHERoaSmDgv0TVrCAIQhu4rw93c3NzcXZ2vv69k5MTsbGxze5/7ZoZ\nbm59mTx5HOPGbRNVs4IgCPfBbRP/8OHDKSgouOXvP/vsM8aNG3fHN7+b/nZ3d3dSU1MJDw8nPDyc\nv/3tby1+rXCrjz76qL1DeKSI89m2xPlsO+7u7nf9mtsm/kOHDt1zMACOjo5kZ2df/z47OxsnJ6cm\n901JSWnVsQRBEISWaZNO8+aGEgUEBJCcnExGRgYNDQ1s3bqV0NDQtjikIAiCcI/uOfHv2LEDZ2dn\nYmJiGDNmDKNHjwYgLy+PMWPGAKClpcWKFSsYOXIkXbt2ZerUqc0+2BUEQRAejIemgEsQBEF4MNpl\nfOT9Lv563JSWljJ8+HC8vLwYMWIEcrm8yf1cXV3p2bMnfn5+BAYGPuAoH34tud4WLFiAp6cnvr6+\nnD179gFH2LHc6XxGRkZiamqKn58ffn5+fPLJJ+0Q5cNv9uzZ2Nra0qNHj2b3uevrUmoHiYmJ0tWr\nV6WgoCApPj6+yX0UCoXk7u4upaenSw0NDZKvr690+fLlBxxpx/D3v/9dWrZsmSRJkrR06VJp0aJF\nTe7n6uoqlZSUPMjQOoyWXG979+6VRo8eLUmSJMXExEh9+/Ztj1A7hJacz4iICGncuHHtFGHHcfTo\nUenMmTNS9+7dm/z5vVyX7dLi9/b2xsvL67b73Fj8pa2tfb34S7hVWFgYM2fOBGDmzJns3Lmz2X0l\n0bPXpJZcbzee5759+yKXyyksLGyPcB96Lf3/K67HOxs8eDDm5ubN/vxersuHthS2qeKv3Nzcdozo\n4VVYWIitrS0Atra2zf6jy2Qyhg0bRkBAAGvWrHmQIT70WnK9NbVPTk7OA4uxI2nJ+ZTJZERHR+Pr\n60tISAiXL19+0GE+Eu7lurxvlbsPsvjrcdDc+fz0009v+l4mkzV77k6cOIG9vT1FRUUMHz4cb29v\nBg8efF/i7Whaer39tYUqrtOmteS8+Pv7k52djYGBAb/99hsTJkwgKSnpAUT36Lnb6/K+Jf4HWfz1\nOLjd+bS1taWgoAA7Ozvy8/OxsbFpcj97e3sArK2tmThxInFxcSLx/64l19tf98nJycHR0fGBxdiR\ntOR8GhsbX/969OjRzJ8/n9LSUiwsLB5YnI+Ce7ku272rp7k+PlH81XKhoaF8//33AHz//fdMmDDh\nln1qamqorKwEoLq6moMHD952lMDjpiXXW2hoKBs3bgQgJiYGMzOz611sws1acj4LCwuv//+Pi4tD\nkiSR9O/BPV2XbfPc+e78+uuvkpOTk6SnpyfZ2tpKo0aNkiRJknJzc6WQkJDr++3bt0/y8vKS3N3d\npc8++6w9Qu0QSkpKpKFDh0qenp7S8OHDpbKyMkmSbj6fqampkq+vr+Tr6yt169ZNnM8mNHW9rVy5\nUlq5cuX1fV599VXJ3d1d6tmzZ7Mj0gS1O53PFStWSN26dZN8fX2l/v37SydPnmzPcB9a06ZNk+zt\n7SVtbW3JyclJ+u6771p9XYoCLkEQhMdMu3f1CIIgCA+WSPyCIAiPmbtO/E2VD99uyoAlS5bg6emJ\nt7c3Bw8ebJuoBUEQhHt214l/1qxZ7N+//6a/W7p0KcOHDycpKYmhQ4eydOlSAC5fvszWrVu5fPky\n+/fvZ/78+ahUqraJXBAEQbgnd534myofbm7KgF27djF9+nS0tbVxdXXFw8ODuLi4NghbEARBuFdt\n0sff3JQBeXl5NxVtiGkXBEEQ2l+bV+7ebsqAP37eFPfO7qSlp7V1OIIgCI80d3f3u166tk1a/H9M\nGQDcNGXA3ZQSp6WnURpRiiRJYmvl9uGHH7Z7DI/SJs6nOJ8P85aamnrXObtNEn9zUwaEhoayZcsW\nGhoaSE9PJzk5+bYLgASP0mTtyGwaihvbIixBEIRHl1IJx4/f00vvOvFPnz6dAQMGcPXqVZydnVm/\nfj3vvvsuhw4dwsvLiyNHjvDuu+8C0LVrV6ZMmULXrl0ZPXo033zzzW27gd5aYciy0zb0tK9nw1ty\nlEpRVCwIgnCTvDz497+hc2d45517eouHZsoGmUyGJEmoVLD5PzV8slhCoaXBB59pMmO+Dpqa7R1h\nxxEZGUlQUFB7h/HIEOezbYnzeQ9UKjh8GFauhIgIePpp6NcPiouRLVrE3abxhy7x/0HZoGLT3CK+\n+FGfGnN9PlimxbPPydC6bxNJC4IgPGSKi2HDBnXCl8mQfLpRladH+UUZ5Yb9qFB6MaAi5NFJ/H+o\nvlrDD5NzWZNhR4mJIe8v1uD550FHpx2CFARBuN8kSd13/9lnqCKOUWXsj7y8E3L9flTUe6JtpYXJ\nk1ZccXbk4DUjVq7Ve/QSP4Ckkshfm8/OhSVstvQgW6nHe+/JeOEF0NV9sHEKgiC0OZUK4uJQ/ucr\nKvdnIq/1pFy7NxWSD3oOMsxG2GIy3JYkQ3PW75Pxy3ZoNGlAM7iIqtWuj2bi/0N9bj1JryQRl6DJ\nVjtPruRo8+678OKL4gYgCEIHIkmQnIzytwjKN51Ffk6iXNmNSpkXhnb1mIa6YjbGEZOBplzK1Gb1\nDwq2boNazQZU/S/iNSACY9Oj5JZeIuvNrEc78YN6xa5rW6+R8kYKBUNdWFfqxIUEGYsWwUsvgZ7e\nAwhWEAThbmVno9gbQfnPV5DH1SOv7UK1ygUjjTTM/DQwWxCEyQQPtIy1uHIFVm9q5PufGqiorUfy\nD8eg+ybqTY7Q274X/Z360depL30d++Jq3sFb/HL5CUxNB7Ro/4aiBlIWpFAZX0nN37vy/8KMOXsW\n3ntP/QlA3AAEQWhXxcU07omkfOtlymNqkVe5UyO5YGxWiGldLGad5JgsHIPmtEmgq0t8YjH/WVPA\nvp1mVJXoInXbikFAOIH9dZjQeQiDnPvT07Yn2praACgUCmJiYhg8eHDHTvzHj1vh6fktNjZPt/h1\nRTuLSH41GeunrCl52o1P/6PFuXN/3gBEF5AgCA9EVRWN+45R/lMC8ugq5CXO1MpcMO5ch1lPCbOK\no5jEbURj8gQaX57LOTs4eP4823/RJOFIDxTX3JD1iqLT0Eymj7Hn1a5P4mhsc8thUlNTWbduHRs2\nbMDZ2Zn5btz9AAAgAElEQVTY2NiOnfgrKs6SkDAOJ6c3cXJ687bFXjdqLG0k5c0Uyo+X0+W7LqQY\nmrN4MSQkwPvvwwsviFFAgiC0scZGGsNjKd94DvnRcuQFttTKnDHpVIPZMCvMnvbAOOsgGitXoCi6\nxqUpQWwPNOJQYTJnI1zRuPQ89Vl+yPyT6DG+nremdOIpRxsMmyhaqq2t5ddff2Xt2rUkJCTw3HPP\nMXv2bLp3797ibvIbPVSJX5Ik6uqyuXBhNObmw/Dw+AKZrOWVW8W7i0l6OQmriVZ0XtqZ0wlaLF4M\nV67ABx/A88+Dtvb9+x0EQXiESRKN0RcpX38a+ZFS5JkW1OKAiUslZkHmmD3XA+NB1jTmpVP8xb8x\n+/EXkl0M+SpAyR5XLVxKX6X41Hhyz3ZB5ivHJ7SWV5/WZaqLJWbNJKbz58+zdu1afvrpJwICAnjp\npZcIDQ1F94aujEci8QM0NspJSJiAtrYVPj4/oKnZ8g77xrJGUv6WQvmJcrzXe2M2xIwTJ+Bf/4LM\nTPWfM2YgKoEFQbgjxeVM5KtjkB+4hjzFiFqlPSYOcswGGWH2fE+MhzmRX5fPyexo8g/8gs/mcPwv\nlXCgnxVXJg+nTmsmsYf9idlvgbJzJa4hFcydpsVMLytsmumGqKioYMuWLaxZs4bCwkJmzZrF7Nmz\n6dSpU5P7d/jEf+TIEYKDgwFQqepJTJxJQ0Mu3bvvQlvb4q7erzismKRXkrCZYoPbp25oGmgSGalu\n+RcXw0cfqaueNcSqw4Ig/E6RW0b5qmjke3KQJ+pSU2eLsU0JZv31MHumK3rjOnOh9ALR2dGczDnJ\nmbRoRsSX8WacFuYKLYpnT6f4iQ9YudOUnds0qTOpw2Z0GS9M12BeL0tcmhl1IkkScXFxrFmzhl9+\n+YWgoCDmzJnDyJEj0bxNK1WSJDQ0NNo38S9ZsoQffvgBDQ0NevTowfr166murmbq1KlkZmbi6urK\ntm3bMDMzuzUQmQybzjZs2LeBga4DMdE1QZJUpKa+Q2npAXr23I+envNdxdNY0kjy68lUxlfi/b03\npv1MkSQ4dAj++U+or1fPdTRuHLTwcYIgCI8QZUUdFeviKPslDfl5GVWVNhibXcM8QBOzqV7UTXAi\ntvgU0dnRROdEczb/LO4W7ozS78mMExV03XkCTf8AsqYtZHnGQDZtllFWIWE0sphpz0gsGGiOj6Fh\ns8eXy+X8+OOPrF69mqqqKubMmcMLL7yAnZ3dHWNXKVRE20UzuKQdR/VkZGTw5JNPkpiYiK6uLlOn\nTiUkJIRLly5hZWXFwoULWbZsGWVlZdfX5L0pEJkM166uaPXWIt87Hy9LLwa5DGKQyyC66iZQWbSB\nnj1/w9Cw213Hdm37NZJfS8b+RXtcP3RFQ0cDSYKwMPUnAAMD+OQTGDpU3AAE4VGmqldSsf0y8h8v\nUxbXQGWJFUaGBZj1VGI6wYXcUFOiq86qE312NMU1xfR37s8ApwH0d+5Pv3xNjL79DvbuRf7Ui6xz\nfINvDliReUUL7aBixkxt5K3RpvQzNW52cIokScTExLB69Wp27NjByJEjmTt3LsHBwWjcRRdEbXot\n5544x4DsAe2X+EtLS+nfvz8xMTEYGxszceJEFixYwOuvv05UVNT1xVqCgoK4cuXKrYHIZAT/ayen\nUn7mx88+xoACzuac4Hj2cU5knWCErQbPOVdSZPg6AZ1fwMfKp8WjfgDqC+pJmptEXWYdPpt8MOpp\nBKgrpbdtU/f9OzrCZ59B//5tcUYEQWhvklKiMiIX+fpzlEVVUJFnjr5WAeZdqtEfZUnSGC2iuMyJ\n7BPE5sZia2jLQJeBDHAawADnAfhY+6ChVMGOHfDllzTkXGNn0DK+KBjGmWhDZL3LGPhULW8/bcgo\nWzO0bpO4y8vL+eGHH1i1ahW1tbXMnTuXF154AWtr63v63UoPlpK1NAu/CL/27epZvXo1b7/9Nvr6\n+owcOZJNmzZhbm5OWVkZoL7TWVhYXP/+pkBkMt74dDW/VpdT1dOUWltXrLQU9NDXopeJFbYyUBRt\nw7v2S9ZkmnKsSMFAl4EMch7E4E6D8bf3R0fz9mM2JUmiYEMBaQvTcP67M85vOyPTVN88FAr4/nt1\n33+vXupPAD17ttWZEQThQZAkiepzcuTrL1C2/xrlaYboSEWYOZegNVibhJH17DdL5URONKmlqfR2\n6E1/p/4MdB5If+f+WBlY/flmcjmsXYu0/H+cNB/F/1m8Qdg5T5Qu1XSbUMkbz+oyrbMF+nfogz91\n6hSrVq3i119/ZcSIEcybN4+goKC7at03JefrHMILSpj1Sa/2S/ypqamMGzeOY8eOYWpqyuTJk3nq\nqad4/fXXb0r0FhYWlJaW3hqITIaqoZHj06MJDQtlV/gH1NvUcK6ylIRaiWTJiTQ8qUYPNykVb30D\nTGQmlJee50rmb2SUJhLgEMBgl8EMdhlMP6d+GOsaNxlrbUYtV2ZeAQm8v/dG303/+s/q6mDVKliy\nRN318/HH4O7eFmdIEIT7oTathrLNSch3ZFJ2UQvNxgrMLDPBv4FLQeVs75ROVH4MEhIDnQcywHkA\nA50H4mfv13RjMTUVli8nfUMkq53/wdrSEMq0tHAYW8ac5zR4pbcFVncoDKqqquKnn35i5cqVlJeX\nM3fuXGbNmnV9WdrWOnDlCrP+9R9KYyOoz0pvv8S/detWDh06xNq1awHYtGkTMTExHDlyhIiICOzs\n7MjPzyc4OLjZrp4PdXSQHBxJLagHPX02pcQis7QEoKGhiKqq8+RWJHCqNJmzFUWk4E66zIdMyQE7\nrQbsqEa77holxWdIyzlEN1Nbhvx+IxjkMghrwz8/UkkqiZz/yyFraRad/9MZu5l2N3UdVVXBl1+q\nt6lT1Q+D7e3b4kwJgtAaDdcaKNuTh3zzVcpiG1HWKDHTTkDWtYxL/a/xY5dUDlddwNXMlUHOgxjo\nMpCBzgNxNXNtvntYkuDECcqXrWRbpBVfG7/KpWoXDEeUMXWGioUjzHE30G/6tTe4ePEiK1euZPPm\nzQQFBfHyyy8zbNiwVrfuQT1Fw7Zdu3jr3/+mMDERewt3hvXsw6aDG9sv8Z8/f54ZM2Zw6tQp9PT0\neOGFFwgMDCQzMxNLS0sWLVrE0qVLkcvlzT7clYqLISaGhsNRnPryKwI1NdD2cIUBA9Qd7wMGgLc3\naGhQV5fN+fPDMTUdhIHJIC6Wp3GuspyEWg1ScCMVdxolTayUxaiqM7l2LQ57ahhq605Qp8EM6TQE\nZ1Nnqi5UkfhsIvqe+nRZ3QVty5sLKYqLYelSWL8eXn4ZFi4EU9O2OGOCILSEolJBeWQZZZuvUnak\nnLpiDUy5gKZzNkl+OWzqepmD+rn0cQpkoPPA6902Znq3jh689c0VKLb+woGPTrA+bxh7G0cg61NB\n8AwF/5hsxADL5h/S/qG+vp7t27fz7bffkpGRwUsvvcScOXNwdHRsk98/MzOTNWvW8PV331Ftbc2A\n6dPZNH8+eYFX6P5rd4y6G7VvH//nn3/O999/j4aGBv7+/qxdu5bKykqmTJlCVlbWHYdz3hjKppWb\nWLrgEyLeW46NbSpER6s3uVy95NiAATT26cpF/X9jZNcfT88VyGTq8az19TlUVp4no+IyZyoKuVDd\nQKLCkquSN9ewwKChkPqKJAzq8+ljasFoay+6/dIJg80G+KzzwWLErTUDWVmweDHs2QOLFsGrr4qJ\n4AThflA1qqiMq6RsZzZlYTlUpmlizBX0jC6T0TWdH33OcNxdRm/3QQx0Hsggl0H42fldn7ysRSoq\nOPfxr2xYVcdP9U+htG2g0/Pw9kw9pniYo92CFnp6ejqrVq1i3bp19OrVi1deeYVx48ah1QbLBCoU\nCvbs2cOqVas4GRuL4ahRmIaGsiEkhEATE1QKFceMjjFIPggtfa2OXcBVm1GLXid1NpUkiX5+/RiR\nPoI3t72Jxcjfk3FBAZw8qd5OnEA6f55aZxl1fvaYhfwTjUFDoFOnW8ZlKhSVVFdfpKjiHGfl2Zyt\nqiS2Wo8rkheFmi7QWI5mVQaOWbX0UVnw/ISBjHLrhabGzQ9uLl2Cf/wDzp1T9/8/+6yoAhaE1pAk\niZrLNZQdKKZsezry+EZ0NPIwU8ZR6JbMji6nOBdoiUfPYPWADpdBuJu739Wovj8Un89h9YKTbD/h\nQaaWM87DC5j4jg1/G2De7LQJN1IqlRw4cICvv/6a2NhYZs6cycsvv4ynp+e9/Oq3yM7OZu3atXz3\n3Xc4OjtjOWkScf7+fOztzTwHBzR//51r02o5F3SOgNT+6Oh08MrdJdZLePnYy5h1UX8iOHnyJJMn\nTGajaiOB4YEY+Rrd+sL6epSnY7i24xUMzpVhkqBCpqml7hYaMAAGDgQ/vyYn6VGpFNTWXqW88jyX\n5ckcLirgaKk2ydU+lFjYodLUwkJZgI+eFsNsvBjv3J3uhsZoa2hw/Li65V9Zqe4KGj1a1AAIQkvV\n59VTFl5G2a4cSsNLoaEKM0UM9eYXOOJ5iuRBdpgFjWKA2xAGOA+46fnc3VIoYPPyJDZ9UUJsXle8\nnRPwe8OUt+a642V05357gJKSEtatW8e3336LhYUF8+fPZ9q0aRgYGNxzXH9QKpUcPHiQlStXcuzY\nMaZPn47n5Mn8n64uQ8zM+K+7O6YqHa5cgcuX4cIVJceuykmUVVLhVodyqU/HTvwunV0ozipm3Phx\nvPL6KwwePJgpU6bgo+NDyPEQ/KL90HNqun9FpWokMfE5GhsK6W64HK2483DihLp7KC0NevdW3wQG\nDlQ/LzA3b/J91F1FeWSvTuDY6nKOvRTDKecyMmTO1Oh5INOzxQY5vQz1GW7blfqL1mz4wBAnSy0+\n/1x9GEEQbqasViKPklP6WxFFu7JpLFRgqHkOU1UM5zufJXWIKVqjQvD3HUVfp74YaLc+oZ65oGDZ\nP1M5vN8SVymdgKAMJn3Rl+E9nFv8aeH06dN8/fXX7Nixg/Hjx/Pqq68SGBjY6tgACgsLWbduHatX\nr8bKyop58+bRe9RE/hZdSkqiBsHlDlSl63FOXk2eSSXGAZVIXSqotqzBrlyHrvlaDB9mzjveHh07\n8b+1/y2OHjnKxVMXUV5RotWghfcgb5LSktg2cRvWO63xP+aPlknTfWiSpCQp6WWqqxPo0WMf2tq/\nJ/fycoiJUd8ITpyAU6fAxeXPG8HAgdC58y1N9pqkGi4/cxldB108VjmQK0WzP3UPewtyOVOnR4m2\nK3omXtTrd8KwTqLunD1dZMa8FWrGaA+jZidhEoRHnaSUqDxTSemBUvJ2pNGQoEBTJxXb2mhKrc+Q\nMQik0SPxGjEdXwc/tDRa3y8OUFYm8dl31WxfXkl1ngZPGe3giVf0Gf/BZPRb2Dqvr6/n559/ZsWK\nFeTn5zN//nxefPFFrKys7vziO5AkiWPHjrF8+RoOHMikd+/ncXUdQ0mpHdEXGilVNmI6uBzbPjXU\nu1VSaFKFrbYOAyyM6WtqQqCxMb2MjDg++whrEtdwLPsYBQUFHTvx/xFKzrc5xK2II/WdVHYc3EHc\n3jgkQwntHtp0cetC8IRgejv0xs/eD28r75suGkmSSE19m7KyI/j6HkJHp4mPiAoFnP/9E8Hx4+o/\nlUoYNEh9Exg0SF3Fpa2NqkFF+gfpFP5QiM9GH8yH/vlJoaS6kMPJWwhP309EURGZkhXauv7UygLQ\ntDfBXFeJn5EmvU2sCTBzwN/IiE56evfUNykID7u6zDqK9xeTEZZGQ2QtkkYxJsoYrKTT5AaU0xAy\nCOenZuPh2bdN/w+oVLDtYAOff11L4iEdhsrCedrlCKM+GYLdU+NbPBNjbm4uK1euZM2aNfTs2ZPX\nXnuNMWPG3HaStDupq1NPC3/6dA0//3yZkyfLqavzABxx66nALqiGKu9SLlsWozBtwExHk4GmJvQx\nUSf5AGNjzG/opr58+TKffvopv23/jTmT5rDo60VYWlo+GokfIPfbXLKWZdErohelOqX4+PgQNDSI\nw3sPY+1ojd1YO4o7FZPfkE93m+742fnhb++Pv70/3ay7kZ/9KcXFv+Lrexhd3TsMwJck9ZzNf9wE\nTpyA9HQIDLx+Iyit8eLKq3nYzbTD9SNXNLRvvZjK68o5lnmUsAu7+eVMHKUGlVia9sHRxRylUWeu\naXehQaZHDz3wN7Eg0MwJf2NjvAwMrj+0EYSOQlGpoOhwEUk7k6g7WIlGmQQ6cXjUxNPokk7dqO7Y\nPj0T2ydC7ss0uEnpSt7/tpZ9mzQxqS/mjfpvmDQoC4/FryFr4bwrkiRx4sQJli9fTnh4ODNmzODV\nV1/F29v7rmJpaICkJPXiT5cu/bllZKgwNCygsj4WpyAJ7wnOaHY35KqsksLGBow1NSlXKJhjb8+b\nTk44N9MwvHDhAp988glRUVG88cYb9P2uL33D+mLY1bDjT8tcWChxY2Fb7te5ZP83m16Rvfjsu8/I\nzMzkf0v/x/LA5USYRBCfG8/oMaMJDAkEVzhfdJ4z+WdILk3Gy9ILL2NNXLSzGeO/kkCXkRjpNPFw\nuDllZeruoePH1Vt8PKrOnpSW+1Ch64v9D5PRD+x827eIPVfB659Hk9wYgVXAYfIUl/C29cLBygOZ\ngRVyHRfSNbwplUzpqqfE38iUADMnAkxM6WZoiI6YM1p4iEgqiaK4IhK2J1BxqBzDK/rUGiTipDqL\nszKe2iBrzCdNwzj0aWiDbpGm1NVJ/N+WWr79TiLvnBbD7Y/yYf4n9J7sgfaihdClSwvfp47Nmzez\nfPlyampqeO2115g5cyYmJia3fZ1CASkpNyf4hAR1O7FTJ+jWDbp4K8ghlqNFhymyasSsXx/KTE3x\nNjQk0NiYQBMTKhQK/pOVxVgrK5Z27nxTq/5G586d4+OPP+bkyZO88847vPzyy+jr6l8fyqmpp9nx\nE7+jo8SOHdCnz59/n7M8h5yvcui8pzM9g3ty4MABvEy9ODvgLGbLzDhYcpBNmzZRWFjIs88+y/PP\nP4+bpxsJ1xI4k3+GYynfcyY/nowaDTqZuao/FdipPxn42fu1rMgD1HM4x8cjHTtG3feH0LpyCg0b\nczRHBam7hgYPBi+vJof2HDoE77wD+mYVTFt4gjydCCIyIkgsSsTP1pOe1k6YmlhTqanHVaUVqRrd\nyJMs8dRR4G9sTB8zJwJMzOlpaHjbeUEEoa0VpxcTvy2ekoMlmMaZoJCVYmxwEe+KWPRcSzAcPwbd\ncROgb9/7Oq756NlGPvi6jhO/6GHqWMI7Blt4PeU/GL34DLz5Jjg4tOh9cnNz+eabb1izZg0BAQEs\nWLCAESNG3FJZq1KpOwESEv7cLl1St+odHNQJvls36N4d7H0aKLOr4GhRHrtTUkjX1UWnsRF/PT0m\neHszwMwMf2NjDDQ1yamr47XkZK7W1rLGy4tBTdQ0AZw5c4aPPvqIU6dOsXDhQubOnXt9BFFNSg3b\nJm8j5YsU9qfsJ35efMdO/Pr6EgqFeo3cL79UT5cMkPXfLPJX53PiuRNExEWwe/duKmIruDjuIr6H\nfTHqYcSlS5fYuHEjP/zwA/b29sycOZPp06djZWVFbu7XpGUsQ9fpWy6VXuNswVnO5J/hfOF5bA1t\n8bf3p7d97+tdRZYGlneMtyJGTvrT+7BzT8baMRmN6ONQU/PnTWDwYPVzgt+LOZRK9SRw//wnPPmk\nehZQU5tyjmcdJyIjgsiMSK6WXKWvYx/623nQw8KEBi2JCzW1XG4wIUWjO5kqOzrpKPAzMiDQzIk+\nJhb0MjLCqA0KRgQBoFheTMzOGPL35WMYbYhZsTEqqyu4qc7TqeIE+sN6ojkuVD1+uYXJ9l7JKyQ+\nXFfND+s1KMvXZNCgFP5f2f+j9+U9yBYsgPnzmx2d91cxMTF89dVXHDhwgBkzZvD666/j5eWFJEF+\n/s0JPiFBPWzSwuLP5N69u/prd28VSaoqYioqiP19K6yrwzAnh/KYGILt7FgUGkrQX2Z4VEkS3+bl\nsTgjg9ccHXnXxQXdJj7R/5HwT58+zaJFi5gzZw76+vpIksTpvNNsv7ydbfHbUMgVPDP0GZ7q+hR9\nnfp27MTv6Cgxc6Y66SuV6iUSZ89WD8fPWpJJ9vfZzKiZwZZtW+jfvz+FPxWS/n46/rH+6NioR9Ao\nlUoOHz7Mxo0b2bNnD8HBwTz//PP4+eWRn78UX9/DGBh4qfdVKblacpWz+WeJz48nPj+ecwXnMNcz\nv34z6O3Qm972vZscR6woV3B1zlVqkmrotq0bBvolcOzYn1tWlrrKePBgGDIEAgOpUurz+efw9dfq\n6t+FC8Ho9x4oeZ2co5lHiUhXfyJIK0tjoMtAgjoNoq+NI456NZwvz+BsVRUJ9YakaHQnTeWIk7aC\nXkb6BJo50sfEEj9jY0zFzUBogeKaYo4fO07Grgy0jmvR+WpnGi2uYWOcjGdxJOYWRWiOGwNjxqiv\n4xvWer0fJAl2HK3j428auPCbAaa9K3k98CLvx32Mblqy+qPziy/+2Sq8jcbGRrZv386XX35JcXEx\nL774Dn5+z5GebnRTktfUhB49/kzuPXqo/zQxkcioqyOmouL6llBdjZeBAb319VEmJHBy3TpUmZm8\nNn8+M2fOxLSJ+VwSq6t56epVZMCaLl2aXJilqYSvq6dLXG4cP1/6me2J29HV1CXYNhjrCGsqzsgp\ndE0jOfkqZ8+mdezE/9VXEt98A3v3wty56n6zPz49vvACBBVl8dsvqznuepyIoxHIZDLSP0inLKKM\nXod7oaF78x20oqKC7du3s2HDBq5cucK4cT0YNOgikydHYWTk02QcKklFammq+kaQp74ZnMk/g7Gu\nMQEOAeqbwe83BBtDGyRJIm9lHhn/ysBjuQe2023/fLOSEvWD4qNH1TeChAR1MdngwRT5DOEfewbw\nW7Qpn32mrgD+awOgpKaEqMwoItIjOJJxhLzKPJ7o9ATBrsEEdRqEq6EKeeU5zpelEF9VwcU6fVI0\nupMiOWOrpcTPUJ++Zo70MbXE38ioRZWJwqOtqLqIqMQoruy5gjJSiWeCJ2aNxug6ZdFZuoBj9h50\nAr1h7Fh1svfyeiBx5RcreW9VNdu/16a2FvpPqeL/PE/QZ/0SqKiAd9+FZ55pshDzr7KzS1i2LIwf\nf7yAsXF/rKyCKCy0prJSdr0F/0ei796d688VKxUKTlVWEntDoteUyehnYkI/ExP6mphgU1bGhpUr\nWbduHf369eP1119vdhK2BpWKZVlZLM/N5SNXV152cEDjL13B586dY/HixcTFxbFo0SJemvMSJ7NP\n8l3MdxzMPoisUYZZvjHVpysovlSGtY0OnexkdHKvx9RRC1xcWf1GcsdO/JIk8Y9/QEQEHDwIy5bB\npk3q5RGjo2HbNgkf40qu5vuy7seVhE4eiaSSuDTlEppGmniv9252mFhaWhobN25k3bqv0dGR89JL\nbzN79lstmiZVkiTSytKIz4/ndN7p6zcDIx0jetv3JsAhAJ8aH/Tf0cd9oDseX3mgqddEf2d1tfqB\n8dGj6u3UKaodvdhdMYQzhkN4+qvBBI5pvkKxoKqAyIxIjqQfISIjgvK6coLdgnnS9UmedHuSzmad\nqKm5THnlGc6XJXO6spyLdboka3QjRXLBWlPC30j395uBlbgZPAaKqos4mnGU08dOU32oms4XOtM1\npyuSixxHqyw6XTuIUdlZZGNC1GuQDh/+wGYhlCTYeKiGpd8ouHrYAJtBlcydreL9uv3ofr5UneTf\nfx8mTmxyVJBCoZ5B+eJF9XbyZCVxcTWUl5tgbl5Ev37GDBlifj3B3ziTi0qSuFpTc1NrPqW2ll5G\nRtcTfT8TE5x+/4QTFRXF8uXLiYqK4oUXXmD+/Pm432a+9tMVFcy+ehVnXV1Wennh/JeJvRISEnjv\nvfeIjo7myaFPUmdbx+naU1wzv4aqVsI4VxPXehndrRU4OYOZlS7OuqbYFxrReZ8BW3sG8H9jx/P+\n+izeCPtbx078k7ZOoqtVN6K2d0OrtDt7N3qyZ5cO8+fDN9+oGyE7dkh89PpGUktX8NKLMbz0sia9\nvJWcG3wW2+dscX7r9uvyqlQqduz4B9999z+iozV54olgZs2axZgxY9C+iyT4x83gjxtBfH48Z/LO\noFuli0+RD0+MfoL+3fvT26H3zYs73Oj3B8aqyCjytx7D+OIJKo0dMQ0dglHIE+ruodvM8JdVnkVE\negSH0w9zJP0IGjINnnRT3wSGug3F0cQRlaqRmprLyCviuVCWdP1mkKTR/YabgZ74ZPCIKK4pJioj\niuOXj1MYXojLWRcGpA5AT1MHc+8KOmlcwOLiRrTsTdWJfuzY+/5g9q+yrilY+G01u77XQaGSCJ5R\ny5KXdOgduV29EIa1tfph2KhRIJNd74f//+y9d3hc1bX+/5k+I82Meu+9d8u23LuNMcUxhN4cSnIT\nkgABvrkJl4SEQEgChEAowYQSIKYXg417k21ZktV7712a3mfO749jy3Zsg8m9ubm5v7ueZz9nJI1m\n9pk55333Xutda50C+FOjtRWiogQiIycYG9vL5OQ+brghnx//+CpiYyPOek+D202F2cxRo5GjJhPH\nzWaC5fLZlXyZXk+BVnuWks5ut/PWW2/xzDPP4HK5uPvuu7n55pvRai+sDrR7vTzc28tro6M8mZrK\ndWFhDA8P09zczPHa4+w/vJ/jh49jMZqRJkpQl0pwJfvQSKBEDYsjNBQHhBE6oSeyQ0FEpRn5CRPO\nsEIckcWM67PYZYkk2KoksVcKdh/Lfcv/ucBvMBi4/fbbaWpqQiKR8Oc//5m0tLSLbrb+VPkTTDlM\nNIw1sau2Caemn8zwFKKtl1L5ux+zauMov3hESnJAItnhBaRrHqBVfStanYS7NjooeOEE2W9knre6\n5t/ayMirNDb+O11d3+Ott3bQ1tbGDTfcwObNm8nNzf27zl8QBLqmu9j1510cPnSYvsV9NHgaCFIH\nMfZuNNEAACAASURBVCd6zuwoiSohSHNuUMpi9PL6fXUMvX2AmxIOkjF+CElgoEgAS08SQWLieZVD\ngiDQMd3Bnu497O3dy96evYT5hc2SwPKk5QRrxM9FJIMWDKaqWTKod6jpkObQISQQKfdRcjJmMDcg\nhCKtFv3/xQz+R9q0fZoDvQfY37OflmMtRFVFsaJ/BbHdsahyBeJixwkd24Zf/TYkC8pOg31i4n/r\nPAUBXtlt49fPuenc40/0UjPfu1PCfatUKF5/TSx4lZqK5b6HaQxcREOjhIYGqK8XQV4qFd0zp0ZG\nhoumpnd4/vnf4PV6uffee7n++utRq9X4BIEWm20W5I+aTAw4nZRotZQFBMyu5iMukFk/NDTEc889\nx8svv0xpaSk/+MEPWL169Zcmnfl8Pt5ra+MHQ4P4T44Q/NGbDNU1MtE3jkQhoAv3ERUkEJIOngxo\nlYJWrmCtXxhXG6MoPBqA5LAbpxCHPTgXuyIBuzMEx7QKiVKGJsWP6Vgp23Rmwnt8fHN5HBOvjDGn\nZg6qcNU/F/hvueUWli5dyubNm/F4PFitVh599NGLbra+cw8YPRLsQgBSeRxVxzIID08itVhOZbeH\nLQ/djEM5hO/KG4ma0jG5dZLbvrGZ8NUrqPo8n9F39TzkaUH6XBGrb/X7ykXMyMir9PT8lMLCfQwP\ni0T12muvER0dzW233cZ11113XpK6GDNVmGi6pomQTSH47vdRM1FD5XDlrJsowj/iHDI41TGsp0eM\nYdVU+3jxB82sUh5EcvAAHDgASqVIAqdGaup5icAn+KgbrWNPzx729OyhvL+ctJA0ViatZFXyKhbF\nLzqrHorP58ZqbRR3BgbRTVTn8KdDmkuXEEuM3EeJzo95gbHMDRDVRP7/Jy39bzejw8ih/kPs69nH\n4bbD+Ff7s2FoAzlNOahlKiLmyQiV1xDY/Bfkoz2wfj1cfjmsWQO683ek+0da/6SH+5+38MmrKjwe\nWH2znSe+40+W3kfXY+9Q/8IR6oOX0RC9lvrBYEZGICtLBPf8/NNAHxEhXuZTU1O8+OKLPPvss+Tm\n5nLfffcxb8UKjpvNIsgbjRwzmQhVKCgLCKDs5Go+z9//S/vhAhw/fpynn36aHTt2nKX8OdNcbhcV\nDRUcqDpAdX017S3tDA5OYlr3TVi6FO17z5JhOkF2qorcFC9pcSZ6LQr2tvoYnokhcTKONe1xFHSG\n4SfNwE40DpsWZZAEdZo/mkw9mhQNmhQN6hQ1mhQNXr2UB7q7+WRyklcCUlCt7gA35G3LQz9X/8/V\n8RuNRoqKiuju7j7r95mZmRfdbN1wz2oM6Wk0xXnpVg0wbmzB7Rwkzl9GvFaKwifwzO+30NExh189\n+SsO7fsIwRfBVISCOs04/RYrmyq+xcqDy7m/ZIBVC7L5/nW5zMkMvyBbj4xsobf35xQW7kejScbr\n9bJ79262bNnCzp072bBhA5s3b/67emS6p9y03NiC1+Ile2s2qmjRX3hKTVQ9LMYMKocrqR+rJy4g\njtLo0lkyMLYWcf89GiIj4ZlnIDtLEIXEBw6cHoIgEsCyZeLxArkELq+LisGKWSKoGamhNKaUVUmr\nWJW8ipLoknPqpfh8TqzWRmZMVZyY7uCExUy9U0e7NJ8eXzSJSi8lOi1lQXGU6gMp0GrPK1H7P/v7\nzeqyzkp+9/bsZaZ1hk1jm5jXMY+gpiD0xVpC02cIMe/C79CbSAL04qr+sstEOdw/iZxf22fhV895\n6PhCS9RcKxuWy8nw86Ox1kPDvimah/SEa8wUlKrIWxw4C/SpqbMK6LOsq6uLp556ijffeovlN91E\n8Y03MqDXc8RkotfhoFirpUyvZ8HJFf3F1snyeDx8+OGHPP300wwNDXH33XezefNmjD4jB2oOcKzm\nGI2NjfR29DLZN4lj3IFMLyU0TktKSgDBc/M5VnQzebJW7nW8SuRgBorWeCYa/OjvVeFyRBBujCHA\nHoQiwE5AvBq/3CDURRFo0vxEgE9SI9Oc/3tqtVq5trmZND8/XkxLY/ClSuruew+/wn5Unl7Uw8Os\n/mfW6qmtreWuu+4iOzuburo6SkpKePrpp4mNjb3oZusjm/QMXmLDESmgGRDwswZi9BXwaNUq5q8d\nZTh0iuaxKnq3X8nE/nu49Xs/INpvGwujkpFEjCFoTAjyMNxdIdiHgtke2kubbZwJpxw/RQ4lqUUU\nRueTG55LbnguepWYpTc09AL9/Y+fBP/E2TlNTk7y5ptvsmXLFiwWC5s3b+bWW28lNjb2oj8XwSfQ\n98s+hl8YJvvtbAKXnn8H4fF5aBpvmiWCyuFKWiZaSAtOx88wh4YvSrliTim///c8QoNP+uAFQaw8\neuAA7N8vDrf7NBEsWyZmMp6HCMxOM4f6D7Graxd7evYwYBpgacJSViWLRJARknFesvR67VgsdUya\nqqmZ6abKbKHRHUy7NJ8BIYx0lZc5uoCTZBBAjp/fV660/s9Om9Pj5NjgMfb27GVv714aBhq4wnQF\nq3pXEXciDoVDQcgKLSHB7QT1vo/8wHYRMa+4QlzZ/zepcM5nAxMe/u0xGzu3qnAbZQSHCUhsctxO\nCfk5XvKFOvIa3yZ/jpLcX16LbkHeV77m/qNHefjtt6my24levZrpqCh0cjllAQEsOMM3fzGNU840\ng8HAk398kpf++BIqrYqI3AhMgonR3lFMgyaEaQF1sJrwxFDS08LISw8kN0VGSoATyaAVz0A6NQNr\nsQ1HM7d9Gv9hDV6fCnPABO0hA/QGDqDUeVjzjStYdOkK1PFqpPKLm6Pb6aTv8GH+3NbGc4mJ3PbB\nB1z7zjvEWSwECgKDEg3m5Gh8qan4FRWR+/jj/zzgr6qqoqysjCNHjlBaWsoPf/hDdDodzz777EU3\nW394wQKEujoICmD+lYspvDwe+1Q1vdNjDKggMaYFuUeO0h3G7rpNPPb0z5Bq7iFi1Uf85NATjCwY\nw/+7JvL14ShemUQ9x4A0d4rhsXZ8vh6kUhfTTj+mBYFuixWLoMVPnUp4QD6BchsB7kNcVnaAAO3Z\n0XpBEKiurmbLli1s3bqVsrIybr/9djZs2HDRAeHpL6ZpuaWF+Afiib0n9qKKVDk8DurH6qkcquRQ\ndyVfNFZipJdkbR6XFMxlbnQppTGlpIekI5VIRSLo7T1NAvv3i0VETpHAsmUX3BGMWkbZ0y3uBnZ1\n7wJgVfIqVievZlXyKsL9L6x+8ngsWCw1jBurqDT0UW220+SNpF2Sy7gQRI7ax9yAEOYHxjBXrydV\nozlH1vb/V/P4PJwYOcHenr3s6dnDscFjzJXPZePIRrIbs1FUKPDP9id4gYQQyXG0lW8jqTkBK1eK\nQL9hgxgM/W80QYCxMbHOYX09bNvnpuKoBKdBhszPR1aBj29eIqeoSEJespX4T55F8tST4vX30EOi\nxOYCNuhwcNho5K26OvaNj2MNCyPe62VDUhLLQkIoCwgg5iJzCQRBYNw6Tsd0By2jLVQ2VlJZXkn7\n3nZsAzYkCgm4QReuIyYlhszMJAozwiiMCCLS5cXTZ8HVK0c+kAr9UfiGQ8Ej4FNNUZkfhiLIxkL/\nMaqT+/mr9iDVnno8DR5WhK/g2QefJSkx6UvnZ5+YoH/3bqbKy3HW16Pq6SFkYoJAqZTv3nMPNZmZ\n/Pytt0gNCkI/dy4qWz4jv5EzcPkQbUlts6/z85///J8H/KOjo5SVldHT0wPA4cOHeeyxx+ju7r7o\nZuuCIIgr1m3b4OWXRenjtdfCHXfwclUhjz/q4eBj76IZ2Y59tJqaYTU3f/Q+PumrvPvOL5BZgjF7\nAmlUGejplnHlL5+n7Z5Koq7Ioix+Ma7xQN5/v5ejR3vIyOxizoI6AkKb8XkGUAjTOLw+hu0CZp8O\nqSIWnX8a0YHFpEYsJiVsAXKZGpvNxrvvvsuWLVtob2/nlltu4Vvf+tY5vsDzmaPPQeOmRjSpGjJe\nzkCu/foB031HzHzn5ydwhlaSvqySDlslU/Yp5kTPoTS6lLkxcymNLiVWf5JcentFfez+/eLR7RZv\nwOXLxWNa2jlEIAgC7VPt7Orexe7u3ezv3U9CYAKrk1ezOnk1ixMWf2W9dLd7GrO5iiHjCSpmBqmx\numnyJdIuycaKH4UaCfMDIygLjKRUr7/om/lf3QRBoHmiedbldrDvIHHaODZ6NrKgfQGBRwNx97gJ\nWhNESK6ZYONulLveFWUtl10mruxXrbqoBKb/CnO5oKVFBPlTQF9XBx6PgF+4hwmDD7dFRsF6O0//\nVMnS/JPfo8UiZik++aR4rT30kJgVdYZ5fD4arFbKjUbKTSbKDQZm7HZobEQ/MMAdZWXct2EDuq+4\nNqbt03RMdYgAP9ZCTXMNbc1tDHUNIYwLyCZlOCecyBVyfB4fWblZ3LTuSuaER6M3u3H32HD2gDAQ\nBkPRSOUelNpx/Fz9aJ3j+Ccq0eSHwMIkHilK5i8+L1fIemhu/RPNE81kCpm0vd/G0oSlPPqLR88u\n8CYImFtbGdy9G2NFBd7mZvwGBoicmSHA62VApWIqLAxXUhKq/Hwmli7lRzExLAkO5pm0NPxOuuqs\nrVZqF9eiLdESeVMkYdcF4XQO4XQOERS0+J8b3F2yZAkvv/wy6enp/OxnP8NmswFcfLP1v53KwAC8\n8gps2QIREXwQdifPT1/LtgM6MYFQEBg92k3qCjMFQdO8l/YruhzzCc3fjTDPzNhMLMJj38H7h7uZ\nCB1hxCFHoogl0L8A2+Cl7P90Bfv2xHPttVLuuEMgM3OM9q7/R8foDiSauVjsvQjuITQYCVR4sXiV\nuCQhKFQJBOtycM/E8emH7WzdupOsrBzuuOMONm3ahPpLmvF6HV46vtuBqcJE7oe5+KV9/RvY6xU/\nkocegmuugR/8eIJ2i+giOj50nONDx5FJZbMkcOoYpA487Rrat08ccJoIli8X+xL8jXl8Ho4PHWd3\n9252de+idrSWeTHzWJ28mjUpayiILBB3HF9hTucQJlMlPYZaKoxj1FgFWiVZtArpKKQy5vgrmR8U\nzfyAUEp1uv81stJ+Yz97uvewu2c3e3v2opFrWBu5ltWjq0mqTsK204Y8UE7opcGExA2i7/gI6baP\nRB37xo0i2JeV/cP99ePjpwH+1OjogKQkKCgQPUqKcAd/PWLnxCd+BMZ52PwdL4/cpMVPffL7t1pF\n7fXvfnd6hX8S8M0eD8dMplmgrzCZiFGpKNVosFdWcvC55ygIDeX/Pfggy5cvP2tXbHFZZsG9faqd\ntok2Gtoa6Grtwj3qxs/gh2/Mh3XUSnBEMJkZmZQlleE/6cfg8T70Jj2l0WmEe4JhKBD87MgjplD5\nT+LvHEQ/3I4+UIamKBJFaZZ4wgUFs1HlA1OjXN/UgM/ShbX5UdYnLiTeEM8Hv/mA5IRkHvvZz0gF\nhvfuxVJVhaS1Ff3wMNEWCxZBYFCrxRgVhS8tDf+SEiKXLiVu4UIU6tOtZv80MsJPenp4KjmBq4IE\nnM4BnM4B7JY+Bl4/gbrEhM3QjzRuEq9kGqUyEpUqjpKSI/9c4K+rq+P222/H5XKRkpLCn//8Z7xe\n79/VbP0s83ph506EF17Euv0AlYnfZNnbdyEpKQbgk092ceONHnJz1/HWwzMMXVtP9nWdBM3sYWin\nH8PGxWRsfJXBxTo6481MacbweQcJlFvRyqRMG+Lp7SjEYk2jIC+L1NT9+Hx1FBbuRy4Xk1mmreM0\njuyjZ7KccUMtNns3Uu8Y0RoJoTKB6mMCn38up7Pdy+VX5HDLzesoKFiIRpOMWp2ETHYa4AVBYOSl\nEXoe6iHz1UxC1n91baDz2eSk2P932zZ44gmxxIVEIr5+n7GPyqGTRDB8nBMjJ4jSRjE3Zi7zYuYx\nN2YuhREFqPoGT5PAvn1iSv4pElixAs4TzzA5TRzoPcDOrp3s6t7FtH2aVcmrWJOyhtXJq4nRXzj3\n4EwTBAG7vROTqZLmmQaOm6aptatok+bTflJWOlenZUFQHPMC/nWCx9P2afb17GN392729OzB4DCw\nMnkla9VrKW4uRtgjYCo3oZunI3RdAMHaRvyOvS9+kYmJcOWV4sjJ+Yf08/R4RI1AXZ3YO/oUyDsc\np/HuFNDn5IBc6eO3200886zAWLmO/Mus/OqHKtbPPWOBY7fDCy+IF+KiRfDwwwymplJuMnHYaKTc\naKTdZqNYp2PhSf98itPJG88+y0svvcTatWu557570CXoaJ9qnx1tE220drdi6DMQbAlGMaXANeJi\nZnCG0JBQ5qXOY27kXNL90gl3h6Ce9OHocuDskWH2mZlUDaFPnyAx3YTWO0ZgfxtBo6No0rLOPtns\n7HPKUTg9Tj7t2M7DPR20yNMotB7m/qhM9LsHOPyHF0iw2yn29yfKaCTMbmdAKmU4IABrTAyS7GwC\n5s0jZuVK4vLyZoUhguDD5RqbBXWHYwCLvY+jUy1I3EOkyKYRPBMoFGGoVHGo1XHYDvkjmYkg/ltz\naL9qhvzXVqJLTEQiERcC//LVOT/5ROCyy778ebbOYV5b+grX2/5EQGo43HUXwjXXMH/VGqKjX6Gx\nMYu3HzbhvLeB/J35aAu0tH6zFqYmyJy3H0nFMaiqgqgobGVzqCwJoj5min6hA+OAi0hXGDGBBhIS\nWlHIPQQEFqL1z0ajScfPLwONJh2NJhWZTD0LsA1jDTSPVdI/VUF/dx09+8fpK4fIKDmXX6Zi9XIn\n/v6B+PulolYnnySDZHxd4fT+m4uYawpI+HEiEunfd5NXVIj1qvR6cbGVdZ5qFB6fh5aJFiqGKkRC\nGD5O+1Q7OWE5s2QwL2YuqeMepPvP2BEEB4sEsGKFuII7T6Zzn6GPXd272Nm1kz09e4jWRbMmeQ1r\nUtawJGEJGsXF9TWFU7LSBmZMldROt1FhNtPgCqZdWkC/EE6Gyse8gGAWBMUyT68n7X9AvMDutlM+\nUM7u7t3s7t5N+1Q7i+IXsSpxFUsNSwksD2R62zSuERfB64MJWaEh2HUE+Y73YfdusV/nKbCPj/8v\nnZvJJLpnTgF8ba1YgCw6+mzcKyyEuLizeabX4OKeF818tkWNzCVj07dc/O67/kQEn7HzcDrhT3/C\n9/jjNK1bx+E77+SwVku50YjV52OhXs+igAAWBgRQrNOhkMDh2sM88Zsn2PfZPlKXpBK4IpAB6QBD\nw0OEWkIJMAUgGZdgG7Ix1jNGgjaBRQmLyA3IJUGeQIgjBMWYFGevC6nWjTR+Cl9UF9bAdip7Jvio\nppvosAm+p7CwUpWAPKf47JONibkgofoEHwd7D/CXoy/x7nAtnrQfEWW08fRTf2R+YydKj4dWYFiv\nx5eRgTIvj+AFC4hfvpzoxES8XgMOR/8ssIvgfubPw8jlAahUcahUcVhlkbw1oyDcL5E7E+ag90tE\nqYxGKhV3u+PvjtPz7z2UVJcgVUk5pD/EEtsSJLLT8/+XB/7AQIHmZoj6ir4pw8NQNtfLm7fsZFHT\ni3DwIJ/On89D3d18974WHnpIwkvfnSH0xRaKDhehDFdyYt4JYu6OIfrOaHEH0dwsxhCOHhWRs78f\noaSYrrJMtoVE8UZFPhPVKWTlHCZu0S7KiseI1/rQSmZwOftRqaLOIgM/vwz8/DJQqWJxel00jjby\n+ruv8+lbnzLUOoS2WE7iEgmL8+PIDNQTo5ESKLcjdY/hccwgM0ejT8rCT5tyBjmkoNEkIZOdW9Tp\nb83rFUH/kUfgjjvExMevcgPb3DZOjJzg+NBxKoYqqBiswOQ0URpTKhJBVCkLjHqCjtbAnj1ivaH4\neJEEVq4UE8r+Jr3f6/NSPVLNzq6dfNH1BbWjtZTFlrE2ZS1rU9eSE5bztbsveTxmzOYqxo1VVMz0\nUmVx0exLpEWSgwV/iv1klAVGUhYYLtZT+Qe3vPQJPmpHa9nVtYvdPbs5NniM/Ih8ViWtYmXUStJb\n0jFsMzD12RSKUAWhl4USslCCfnAXko8+EOuPLFsmunEuu+y/pHa9IMDgoAjsZ46xMTGWegrcCwpE\nXfyFJP2CIPBhg5mfPu2i9YMA4oodPPB9Gd+53O+sqgkOp5Oqd9/l0NGjHC4p4UhyMqEajQjyej25\nKvBae2ZdM+1T7dTV1dGzrQdfp4/wwnAS0hKQm+UY+42YO8zECXGURpWS4Z9BtBCN3qRHOiJFppWg\nSHIhjZvAF9mNK7QaX1QbWp0b3aiHqX3TvFJu5l0jXJ2ezn3XXEPGunXiiZ+nINqsud0IHR0Yjh6l\nvHIbH1mP8XnEOMFWgVj/Kzmy+Gauf+995rW0UGkycdQwxi0//hbX37AKr3cEh+MUmPfPPpZIFKjV\ncahU8bMr9lMgL45YZDJxp/T66Cj3dXXx25QUbomMPGd6jj4H1aXV5H2eh36OHlunjfrV9czvmX/W\n8/7lgT8qSsBsFgHsuuvOr+c9ZSdOwNq1Yk2fovAhhD/9icJHH+VXqakoL/8DN/x5JY9smKboSCfF\n5cW4p9zULKwhb7v4IZ5jBoNIABUVs2TgCgri2UuX8vahW2nuKiJ04RdM5TxKfKKN1Ql5zA+PIT1A\ng1Yyg93ejs3WjsdjQKNJnSUCjSaDiQkdb799mC2vvE5EfAT5l+YjyZbQNN1E62QryfpoCg2RpJu0\nFF8aSVSogMI3hcPRjcPRg0wWgEaTMrtT0GhOk4NSGXUWkI6MwL33ipz23HNi/s7XsTHL2CwJVAxV\nUDlcSahfKPNj5zM/Yg7LpwPIrB9Cvv+g+CY5OaeJYMEC0Jy9ujc5Tezt2csXnV+wo2sHbq+bNSlr\nWJuyltUpq2ezib+uifGC43TP1FBhHKXaJqNVkkeLkEKgTEKpTsOioDjmBwRRpNWi/k/6x0/tanZ1\n72Jvz15CNCFisDtlNQtVC3HucjL1yRSGAwZ0c3SEXhFKSIkTTfU2eP99cdm9bh1s2iSWNP6StP+v\nMrdbLFfwtyAvl4s1AE8BfFGRGLu/mFO3ebz87EMDLz0nxVyrZfE1dp66V0NRhrjyNLjdHDGZODQz\nw6GuLmoFgazpaXLDdISEgMLSysh0k+iemWrD4/OQpksjzB6Grc5G6/5WPGMekhXJRHoiKQwrJEWV\nQrg7HM2UBrlKjl+GH6pkAUncOL6oLtxhVdgC94JqBt1UCNp2Ad2xKbQjOjRRJZyIiOSJlhb2tLRw\n13e+w93f/z6R5wFQbDaElhZMFRXMHDmCp7ER/74+bD4DL+VLeCdPwKqVstIeyZz4ObQV56BXGbnC\n38pQ2yFstj7i4pQolcJZQK5Wx5/xWAR7ufyrk+QcXi8/6OzkgMHAezk55J7nWvB5fNQurSV0Yyjx\nPxJ3gTN7Zuj9RS9F+4vOeu6/PPBHHD7MTIcKuUGF3KhkVYGKtXNUxGuUxKhUxKhUBMnls0D37rti\nhuvx42IMZutbb/H7Rx6hPCGB+uNONng/4tbsca6UWCjcW8DUZ1N0399NSXUJiuCvCBz6fNDejvfY\nQRrUP2PyeAQ7n72JV7mN5Ohh8tcfwlK2l6PTlZidZsriylgYt5AFMUVkB+nwOvuw2dqw29uw2dqw\n2doBLcePh/Dhh0ba2oxcd90avnX7ncgiImmcaKb883JOtJ2gN60Xq8RKfkQ++eF5lIQnkBkYQIxG\ngs89iN3eg8PRhd3ehddrQa1OOoMMUtBoUqiuTuH7308kL0/F73//95dO9wk+WidbZ4mgYqiC9ql2\n8sLzWBhWwvrJIEpaDASUVyNpaBDrvqxcKY6SkrPYWxAEOqc7+aLrC3Z07uBg30Gyw7JZl7qOdanr\nKI0uRSb9+wBaELxYrc0YjBU0GFo4ZjRS5wqiTVpInxBBhkpgfkAIC4KiKdPrSdFovnTnYXKa2N+7\nfzaOMWOfmZW3rkxaSchwCJMfTzL58ST2NjvB64IJuTyE4HQjit0fimDf3S1KLjdtEj+PLwn6X8gs\nltMumpqa066a+HgR4AsLRYAvKIDzYd5XWdu0gx88b2L3Fn80Uhm3fsfDr+7yx6Jwccho5KDBwN7p\nSXqdTtIMY6zcd5Dsnia2J/byWdgYSUFJpAWlEe4IRzmlxN3rxtPkwdHmQDmuJF4aT4wvhgR5AmqZ\nGlWKioCcAPzS/ZAnmvFGdeIKr8HOYczmE0jdoB3To2t2o62YQedMQBVfgqSoGAoLEQoK2FNfz+OP\nP05bWxv33HMPd9xxBzqdTly8tbRgPn4cw5Ej+Bob8R8YQGu10KmX0B0hxZCtZ7hEgSnWhtrPTkZA\nEBEaCRLfDF5ZCF3eYPTqRHw9FnZsryY1dSE33XQv0dHFKBSh/+lewb12O1c1NZGk0bAlI+OCpVB6\n/qMHU4WJ/O35sy7gkVdGMBwwkPXa2b7cf3ngX1dbi79NxWd/VbB+lZTKGgGD3El8kQshxMmQ04lT\nEIhWniaCnkolY00qfvlDFbEqGbeVlfH888+zNjGRgd/8lUte/gZLVA3cnz9K4sF/o+uBXuzddnI/\nyr3oL9HjMVNXt4Igv2XEdK/lvT+beH5PBr3GQO4MfIfLVjbSuUBCeaidcnsbzZMtFEQUsDBuIYvi\nF7EwfiEhmhCczqFZImhuPsZf/nKQTz4ZID0drroqhtWri1HOJDP1vB/qNVkYluppmuqibqyOutE6\nWidbidXHUhBZQGFEIQWRBeSFphCscOFwdGO3d80e7fYuURFgj6CzM4WYmBQKC5Px90856UJKRaH4\n+8pRWF1WqkeqOTZ4jIqhCo4OHMUreFkeXMKmiTDmt1mJPt6CbGhYTCZbtUocf5NM5vQ4Odx/mC+6\nvmB753aGzcOsTl7NutR1rE1ZS5TuK3x+F/G9mc1VjBmOUzHTx3GLixYhlSZJDm7UlGoVLAiKYUFA\nCCVafzrGa9nZtZOd3TtnlUunAtb5YfmYj5qZ/HiSqY+n8Dl94qr+ihACw0aRfvK+CPZjY6ILZ9Mm\n8dy/Ro2j8XER3M8cg4PipurUSr6wUAy6/ic2DAiCwLuNRh562k3H+4Eklji57Tt23NldHDROl6n0\n7AAAIABJREFUU+8AqyBFbevEPlnBkvZ2nnqnnQCfjEM3raUnOhOhCRyNDuztduSjcpIUScQSi5/H\nD2uAlR53D6PyUUo3lrLkhiXIEyZx+NVitVZjnjqKxVqLzCVDO+SPrt6BttaGTpGNKnXe6ZPNy5vd\nQXq9Xj788EMef/xxbGYzD2zcyMbgYGzHj+NpbURl78cX6KQvHMYiwJuoQRGvRhkuQeFvQZBImfEo\n6DFbUapiSQlbQEHMKrR+qXjlUTw4YGe/0cqtQ0Ns+dGPyMvL49e//jVZ5wuY/Z32xfQ0t7S08GB8\nPD+MvXAuj+GQgeZvNlNSU4Iq8nTAuefhHhAg6ZGz8wP+5YH/kYPfoFeWw77+MoZUWuTBLhIEL+5W\nFZ62IG4si+auDTrseBlyOhlyuRh0OHnpAye+YCeRuS7aPngfw44dhDzzDDFKJTFmGV23h5LV38wr\n6m8zdvdNTG6/hLAbo0m/L+Giwd/lmqCmZhExMd8lNvb7ANTX+nj+cQNbP/VnVXg93/M9w+Lpj7HN\nL+Z4WRyH46FcNszRsSqitFEsil80O1KCUpBIJDgcDrZu/Qt//OMfGBoa4pprCtiwSotsvB0huh+5\nnw4/v0z8/DJQqNMYcWrpMDtonh6ibqyeutE6XF7XWWRQGFlIdlg2cokUp3OAtrYuXnuti8DALlav\n7kKh6MLh6EIiUc7uEE6Rwamf/9aF9GUmCAKDpkGODR7j6OBRjg0eo26sjvmyRK6fiGRJp4vEqi7k\nSJGcIoGVK88J5gyaBtnZtZPtndvZ072HhMAELkm9hEtSL6EsruyckhJf1wRBwOnsx2g8SoehjkNT\nI9S6/GgQcugUkvH3TpIotbMsJIkbkoooUARi3G0Qwf7TKZTRSkKvDCX08hC08l4k778P770HRqMI\n9FdddVFlEgRBbOt3JsCfOCE2cDu1gj81MjIuqgT9RZnV4+b+D/t57QUt9spg9Ks6kF16AkOcPz7B\nS4Czj2SJhVJ/FSXqUGK2j5L6agXClD9VmnTGzQFEeaMJE8Jw6BxI4iXos/VEz40mICeAfZ37+OWL\nv0Qi83D33WtYvFiCbeoIZnsDcqccXb8GXY0FbYcEnX8RyowzQD49/WySFAQYHcVZV8vrb77AW/W7\niA/xsCnUR2qoj+lICZYwH7JIKTK9gNelR6aMRR+QTlBQBmp1AsN2N9u6K3m9cQcR+mRuLriZa3Ku\nOavDXqXJxPUtLWQ6nYz+9Kf4rFZ+97vfsWzZsv+aDx2xBPRj/f38cWiIv2Zns/hL6n95jB4qCypJ\nezaN0A1nx35abm0hcHEgUd86+775lwd+u70Pp3MQq3WIDRsWseYbR8i+9ABNTjmNdj1dRNJLIkFY\nyVIayFY5yfOTkSYJ4Xub1nHnnQ6+/W0VGRm5PP+XvxBRWMiw00mP0cmLd+lRHjLzZNq95PRW0+h6\nmi0/HKNiYxYxajWxJ3cQMSqVSBgqFbEqFVFK5WzJAbu9l9raxSQn/5qIiOtn5240wuuvi7EJucTD\n91a2cIPmQ7SV+6CqCm9CPI1LsziUqaFcN8Oh6Vo8Pg+L4hexOH4xi+IXURBZQENdA88//zzvvvsu\na1euZd3QOvLCI4l/RoJL3nnSZdSCzdaG2z15MpaQiVUSS49NSYfJQfP0CPXjTXTNdJEekk5hZCEF\nEQXkhxdSv6uAx/8jhNtvh4ceEpDJJmZ3B6dcR+LoPMuFdCYhaDSpqFQJSL8ChJ0eJ7WjtRwbPMax\noWMc7T9C+LCRmydjWNUlkFI3gDQ2DtmatWIN+KVLzwrEeXwejg0eY3vHdnZ07aB7pptVyau4JPUS\n1qWuI1r39X1XNreNA70H+KLrC77o+oJJ2yRrkpdzaUIGWQEKOqzjHJ/w0DBZQLMqhRmlgtxRmOev\nZ3lBNEucowS//77oY3Q6RaC/6iqYO/e89eJB9Bh2dIjAfuLEaZBXq0XMKy4+DfIXKLz6tc3istA+\n1U7rZCttk21UToxwoOJSbJ8vBaMCycYBtOt6yQ60sQQt87qVKKvNTNdN4+pyoR9XEu4OR44di86A\nNVNLYH4w8QvjiZkfgyZFg1QpRRAEzOY2Xn/9Dzz15Nv4+7m48QY3i/JV6PtU6E6Y0Q3r0OpKUGbN\nP32iZ8iHfF4XzoETODvLsQ1WYxytx+UexK0xMREmIAkHnxeckzIEVyA+dTy68DxiYkuIiSlGo0lA\npYqelTaOWkZ5s/5NXq9/HaPDyE35N3FTwU2kh5ydYOkTBJ7o7+e3fX2kbd/O0Jtv8uijj3LDDTd8\n7ZpcX2ZGj4dbWloYd7t5LyeH6K9IRmu5uQWZv4z0589NCK1dXkv8T+IJXnV2XOxfHvjPnEpbmygH\nrqg4nVPk83nZtXeUp7YOYAmfIGapjQk9tLj8MQ7ocd89h/k/fwVl16vM1A7z/DPzCVKLSQ5yeRwP\n3bucgx8E8OFTI0RWH6TzL3ryMp9i4K7rObFhA/0SyexOYsgpupbG3W7CFIpZIsiS9LJs6jYMMc8S\nFrxm9vd+MhmCAHv3wrPPin1WbroJvnunmzR7vajkKC+H8nIEl5O+ZYUcLgzhcLiDQ442BkyDzI+d\nz+L4xRQGFtK6p5WXX3wZ6YyUKyVXcu/OewkrOJ2a7/FYzogftM4Ou70DhSIcmSqNIXcYXVY5bUYL\nLdMj1I83o1MEIowU4uwr5IfXFnLDykKSApPOWd17POYz3EadJ4dIDC7XCCpV3ElCSD2DGFJP5iyc\n35c9Yh7h2OAxjgwc4XjfEThRzVVDgazpkZLcNY27qADNJZchWbtWRMQzVs6jllF2dO5ge+d2dnXt\nIjEwkfVp61mftp55MfPOGxs4lSV7KqZwdPAoRZFFswqj4qhipBIpziGn6K//cBJThQn9Mg2a1aNM\nzztOzVAXTf3+NCqyOZGUTpTbzvwAfxam5rEgIIBsf/9ZOanbLWa5ngL5EydE/3x4+GnMOwX0f48/\n/m/PbcQyQutk6zljwj5DTNQyvP6XMrxnOd4P4ogNMbFswTgLFdPomgxIu1xoJjXIPXLGFGM4whxo\nY3zkW1uJHziC5t5rUD34vVlXiyAIOBy9mM1VmA0VTA/t54PPG3jjTTdR/jLuSRZYqw5HFzRPBPli\n0SfvCdLgdPbhsPfiGGvAOVqLw9iB1dmPS2XAo/MgN4B3QsrMqMCUSU2LUUNVjxWdPo2bb/4RV155\nA/IvcZk5PA4+afuEV2tf5ejgUTZmbuTmgptZkrDkvImFw04n1zc20tXXh+Xf/517b7iB++67b7aZ\n+X+VtVqtXNHYyMqgIJ5OTT2r1v/5bPydcXoe6mHOiTnI/M+9no8lHyP/i/xzkj7/VwE/iNneH38s\nysnP/MwEAXbsEJMCvV6xQ1fZGjcvf+Tgse9rWLblBNtuWov8md8TmxROhnyadOkgSb42qh9fzq5P\nNvLkY9cTV12Coj2YbN1v0DRP4bh+BZ47b0KZUoJKFYNUqsLj8zHqcjF4BiFYTYcpnPgur/k/R5Un\nkSGXC7VUSuxJEohRKtFO+tP210CObvUnr9jH3d+DTetlyGQSMSP5JAlQXg7t7UzNzaV8fgyH4+GQ\npJ/6qWbywvJImEpg4LUBmtuaufHqG7nnV/d8aecfQfDicPSd3BmIZGC1io99gpcZEulzBHG0V8re\nZhM2/QBStZ3CKNFVVBhZSFFUEdlh2Shl55dF+nxOHI7eMwihc5YgHI5+lMqIM3YKZ5PDmdJUl9dF\n7WgtRweOUt1xAMnBQ5S1WljfIyfM7MWyeB76DVehumSD2D7ppJ3aDXze8Tmfd3zOgGmAtSlrWZ+2\nnrLYMmpHa9nRuYMdXTuQSWSzMYOVyStnC/PZOmxMfjjJxAcT2NvthFwaQujGUILXBCHrbYWtW+Gd\nd8DpRLh6E9b1+UymGKie6eCY2UqdO5kGbxEG/Ake84emUKYOBhJv1TMnS05JySz2XWw/8POay+ui\na7qLlskWWidbZ49tk21oFBoyQjJID83BP7gIpz0JS48/5iqI2ashpkdKotxEuNvFjHSKfqEfR5gD\nVaqKsJIwUpamkLsslyCJRKyH/9JLYs/TBx/E6WfDZKrEbDiGeeQAZlcDUpeAukPOrvcs/PGEhOTA\nIB6+5nKKL5+LM8kPh3QCh6MXh7Edp7kTh3cEH04UkzLUQx7k4xLMU3L6hjwMGNWYdSnI0spIKi0j\nNjaWXbt28fLLL3PJJZfw4x//mOzs7C+5zgUqhyt5tfZVtjZtpSiyiFsKbuEbWd/AX3lhCeenExPc\nWFeH76OP2GS386tf/ILof0DT+E8mJ7m9rY3Hk5PZ/FX6dMAx6KC6pJq8z86vOhS8Agf9DrLIuOic\n7n7/64Df6xWl4jfcICYo/a0JgkgMDz0kegkefVRUGG7bBsuX/wdT0+Pc/dvfUmuxUGe1UmuxUGM2\nE/vrCPo/j+eK55q45vczKG+cJHHebgJeO0jAp90Yi5UMXOnCWhyESh1/UqoVe5Ye12ptoK/vUYqL\ny1Gp4pn2eBh0OkWCOHkcdDrpN7po/lTL2DvhCHYpod8cJ2ujiYQQxSxRxPp8xLa1EXv8OKH79iGt\nqMCaGEPF0hQOpSk5pBrDsMdJwkcJfCH/gozSDH50z4+45vJrvta21OWaPEkIIhEYjS2MjLRgl4zS\n64hiVKKn0+Kj1TDDgHmKzNBMiiKLZ8mgIKJgtmfAhczn85wMKp8ihI4zSKEbuTz4PIQgDrlcx6Bp\nkCMDR2iu2YVsz14yTvSxqkeCR6/FuHQ+wVdcS8j6TbPRTUEQ2Nm1kxeqXuBQ/yGm7FMEqgMpiy3j\nzuI7uTzjcqRS0S1hbbQy8f4Ekx9M4p5wi/76jaEELg9E2tl2GuwtFvjmN+Hqq2HuXBxOsSlIdfXp\n0drqIzHRTFJRG4rCRqyJI0yERdMhiSNBKbAwIJhFQdEsCgwkWa3+yniJyWmiZaLlHIDvM/QRFxBH\nVmgWWaFZZOgzSDFn4BgIZqTFhaHZjLrbQ1y/gM8j0C/I6HcFMqZsQ5fdTGyZhrSlaeSX5JOcnHz2\n9eJ0wh//iPDYr3CuKWbiriwMQjVmZz2C14m2W4Ffmx2lLAzCEqiSOWgwdxCXoCYlVYdUMoHUJ0Pt\nCEA5KUPeY0XTbkI+BuMGFY2DHuoMPhwpqWhKSkieO5e8vDxyc3MJDhbdFWNjY/z2t79ly5YtXHXV\nVTz44INfurAZtYzyRt0bvFr3Kk6Pk1sLb+Wm/JtICEy44P+A2P/25oMH+WBmhsz33+fP99xDSUnJ\nl/7P32M+QeCXfX28NDzM+7m5zNOfRzr+NyYIAvXr6glYHEDiTxPP+xzHoIMTpSdYMLLgnL/9rwN+\nELfOS5aIN9uFkhp9PvGe/Y//EN2HPh8kJIzxySeZtLe3E3ZG9UJBEBh2uXjhmnH+8FkkS37awx1P\nD3P/7yXoc7TMB67asYM5r72GUq3A/Z1NWDZk4WAMp3PwrIw8p3MYkKLV5qPRJJ9FDKf0vkplJBKJ\nFEGAnQc8PP0MlO+TMm+TndwbZ7BHWRk4gyzMXi8xSiWxHg+xk5PE9vYSW19P1MwUpoh4ZDuX8onu\nDT6e/AyZV8acK+dw2623sSZrzVde/BeyffusPPJIG0uWtPDNb7YiCM1Mm5tomuym1xFAj92PdpOb\nduMU0doIiqPmUBI9j6KoIooiiwjzv7jqkILgPalsOpsQTj2WyfT4+aWdQQZpSBVxtMwY6TqwHcmu\n3SQf76Bo0EN7oo6jOQG8F2tiKCmUSzIuZV3qOspiy6gaqWJb+zY+a/+MqO4orh28lsyqTNSoCf9G\nOKHfCCWgLABJX4944fz1r2L9i6uvxnHltdSr51JdI6WqSrzu2ttFPXxJyemRn392gpzX68BiOcGE\n4QhV050cNTtoJJMmcvFKVMzXqlkUHEuWUkBp76Vr8myQNzgMZIZmkhmaSVZoFtmybJKnkwkeDsbR\n7mKk0Yi5xYpq1MtoBIxEuBiUDdNnbGLcFkqreQM2XzTfuGGc3/4kmpiY8wOOx2PGYq7G88YLaH/z\nEYYcL303+EAuRzHlQaL2QwjwwxXgxak0oVCEYDKqqasbxWvyY6EqjrQ+J5rqQRSDbgZlOuo8Ho5Z\nLBhjY1EWFZFQWkpeXh55eXnEx8efl/SGh4d54okneP3117n++ut58MEHiYs7f9tUt9fNZx2f8UrN\nKxzqP8TGzI3cVngbi+IXXZQA4XBXF1dUVWEfHuYPsbFsvuqq/7Qs83xm9Xq5paWFIZeLD3JyiLrI\nwoPDLw4zsmWEoiNFFyzdbCw30nlfJyXHziWr/5XAD+JKvrwcPvvsy4Nfbje89ho8/LAYcM3OvpP1\n66P52c9+ds5zBUHglZX9PHAkhmfuNJJ6oBv3rlTq3DZqzGZqTSZiDhzgvg8+IL+jg6Ybb8R9113k\npKQQdjIz1Ofz0NHxXczm48TG3ofLNXpOmrbHY0Clij6LFKans3njjTLeeiuJsjIfP/yhghUrJEgk\nYs/OWcWS08mAwyHuHmZmGDAYGPAJzMhVhE450DYdYnLXDkxNrcgWJqFdEc/8zCxWRuezIWkh6cGp\nF32BW61itu/WrWLi18aNYvkEu71rdpdgsjTRPF5Dw0Q3XVYFnTYFbUYrWqU/BeFZzIlZSGnsIoqj\nionRxXytm0sQfDidw2cQwamjSAqCxA+jV0en2UbbxAyJowFkNAoUHDKim/FSVxCBcVkZIZdfS5pz\nAY6PHEy8P4FH4WFo4RCfJn/Kp4pPuUI3h7u6gyk91AX9kzQs+S5VCZuoNqZSVS2hrU0UmMyZczbI\nfx0Jvk/w0TvTS+voXsamdjNm62NIGkifLI0aIY8xaTyRvgnSJRJW2cJYYYwmYliHvc2OrdWGtdWG\ny+lhPMpNR7Sb9mQF/X5TTDg7CFRPsyg0kICYFN5pyKfpo1TC9FIeekDKXdcpzxLGeDxmZmb2YJjc\niXn8MDZ3DxKTFdWkgCsY3IGgcPuhEaJR69NRB2ehMmpQ9ztRNk3y3sdH+UVTB/E+H98OCMBfqaTc\naKTX3x9pXh4xpaXkFxSQl5dHZmYmqosAuqGhIR5//HHefPNNbrnlFh544AGiLuAKaZ5o5pWaV3ij\n/g0yQjK4rfA2rs65Gq3y4rSsdrudza+8wtbYWNZMTPD+ddfh/2WZvP8J63M4uKKhgSKdjhfS0y+6\nppS9x86JuScoPFiIf9aF5zb21hiTH0+SszXnnL/9jwB+r9fLnDlziI2N5dNPP2V6evqie+5eaCpu\nt3gj3n8/3HjjV8/B4RDdP7/9bStK5RJqa3vJyjo3cOO1e3m9uIP7B9L499whLi9zkfpU6un39flo\ntdnoqqkh7PnnyfvsM7YtWMCr11yDqqSEIq2WYn8/okfvQivXkZX1+jlg5/U6cLmGTqZ0988WZhJl\nhRN8/PFC3nvv2ygUcNNN27jyyk70+ugzMgPjT6Z5n86ItVncHLyzliGbEcX8Rlq6m/mipobGlhbk\nedl4r/oGrsISZB4jQVIPiRo/8gKiyA+MJE6tJk6lIk6lIkKpPKfOTXk53HabCHh/+MP5qwmIID2A\n1dqM1dpM2/gxakfraZjso93io8MMSGTkhSZRHFVIaewK5sYtJzko+aLJwOKysKd7D591fMb2js+I\n0Mi5PLmE+RFxJPjLcDt7sNk6cDi6kKLDNypD1mYhrM3KtEmgWRnIdO4i4q+8jkVB+YR9dpS6l8up\navFne/BCDroyMRqzCIs1MneujHWLQ5gzR0p+/jnJxxc0j89D13QXzRPN4phspmWihbapNoI1wbPu\nmRz/HDJNmUSOBuJuGcfYNIO5XYFsSIsx2EdPnJyRaDdDYQ66wp10ZWmxMUOyyUiZRsPliYksLigg\nMCiId3tm+PHTDvreDiU9182jP5pi6fx2nM4eLJYaLKYaHNZO3L4ZBLxIvBIURgHNlAZ9mxy/Xi/q\nxVejXnw1qm4T0oYWhIYG3DU1yEZGGAsI4AWvlxcMBnyCQGZSElnLlpFXUEB+fj55eXmEhHz9ooJD\nQ0M89thjvPXWW2zevJn777+fiIiIc55ncVnY2riVl2teps/Qxy0Ft7C5aDNpIWkX/V6CIPDuRx9x\ne2Ul3vnzeSszkyv+gQ1qyo1Grmpq4oG4uC/V558zT59A7YpaQjaEzGbnXsj6HuvDM+0h5TfnusH+\nRwD/k08+SXV1NWazmU8++YQHHnjgonvuftlUqqrg0kvFxsvnqRN2XnvhBfj+9y9HoVjPnXd+m5/8\n5Fwgcw45ebuohQfdedwh7eHet4Mv3Kx9ehrhxRfxPvss08nJfHHLLWydM4dG6zQ/cX+PYfVSrGE/\nolirpVinu+iGIy6Xic8/n+GZZ/xoavLn+uuPcPXVH+Ln13xy5zCEXK4/mwwU8RgezcJW7k/2p0no\nwgOx7T/A688/z+/370fjdHJJfhqub8zjWLyeJpkblzKIwIB0ZJoorBI/zD4xGe5MMohTqQiXqPlk\ni4pdb6p48QkFV15x8Xp+l2sYi6WZnsljVA6VUzfeQtPUCO1mD3aflJygCAoiMpgTPZ/5CZeQFbFg\nVpHTNd3FZx2fsa19G0cHjzI3Zi6Xpl3K+rT153QEE7wCxnIj4++OMbG/CVnmCH5rDCjyRnDaqjEb\nm/D6m1HMgHVaQo9NSZ01DZtkCakhG1iStwxXeA27+j/m0/ZPmXHMcGnapVyecTmr/j/2zjs6yjJ9\n/5+ZzGQyM+m9k94TQkhIQhGQLmBBxbbLsioWFkVXVJS1Vyxgx4KC2LDTO9IhIZBeSSG9T8r0yZT3\n98dEVqQF8Xt2z9nfdc57Jsw8MzzvzPve9/Pc5boiJp+lN2CymKjuqf63gR88antrCXIJIt4nngSv\nBJIkSUSpovDt8MVWbUNfqUdfocfcbUYeLccWbEOlVFEzUMNhSy373DT0J0VhG56Ck9WAp6UTJ7kD\nffJgBLET2c4yxrgpSJX2UFdbw9qPwyjdOoas0UeYd9sbhA07iBg5IosNKwbEA6BoFHDu9MDdmoSn\n30yk7iH2UNaePRATg9VshpoatC4u1Dk7UzAwwAGVimYPD3RBQZxuasLV1ZWlS5fyt7/97aLVNENB\na2srr7zyCl999RV33XUXjz76KL6/u4EFQeB4y3FW56/mh4ofGD9sPHeNuIsZ0TMuu3fj1KlTLPjX\nvzg+YwYjwsLYMnYsnv+H9N5fDPLtrIuLY/plOsTmd5rp/LaTEQdHnEW6dj5U3VeFMklJ8KJz2XL/\n44a/ubmZ+fPns2zZMlasWMHmzZsvS3P3UlNZssTeGPnFF0Of0+zZh9i3707mzaviu+/EPPwwPPzw\n2fHZ/px+tl5Ty6OiFG63NfJyXQhSj4tcLGazvZb7zTfticB//pPmGyZwqnoq1W4Ps4vJ5Gu1qMxm\nhjs7n3EEac7OxF9CirCsDFautDeB3nKLfa4xMTYGBjoHyaAazoSSjMZGtJ9GYPomC15dhlO8BSen\nUKTSEHKOGFj7cR41NV3cG+bDwmYV+nB/9o0L5kCIjX22WkwiMenhM4gJGIO/dwpmiTstAwM0DYaY\nTutMaAZsOBtlpAbKCFcOOoffOIpQJyfcLmEcBEHAbO6ivuswx5v2crLtBEWddVT09aAx2whzdsRN\nChKRiHi/dCZH/5UpMbfi5nQ2AZxgE+g/2k/Xd110/dCF1EeKz82+6LJ9Ke2Wk5drJW93HwWVcnxt\n7YwKOM2kyY2kx+Yj1+/FaqhGPQz6Q6yIXQQ0ghKRNBQv1+EoFbEc72rjx+pcjrZWEewairPMmX5j\nP83qZoa5DyPRJ5EErwSSLcmEq8LxbvXGfMqMrkKHvkIPAijiFTjFOqF2V3PaeprivmKO1B4hv60F\nWXY2ijFj6IuIQC6VMtFFwfX+DmTIelFaWzEa69DpStDpymk0DlAkRJKjHUOuYQxapRM+Kj1TXI6S\nKd9DrFCEX4UB1zYPXCXJuHiPRaYItl+bVVUIRUUIJ04gMpnQODtzzNOTX3Q6jmo0iBITiU1LY/jw\n4QwfPpyenh5efvllDAYDL774IrNnz77iGHh7ezvLly/n888/5+9//zuPPfbYOSv8XkMvXxZ/ySf5\nn6A361mQtoB5w+f9oY5tvV7Piy++yHu5ubB0KU9ERbE0LOz/JJYP9iTu06dP83VnJ5uTk0m8zBCS\noc7AyVEnSTuahiLm0mWkxTOKCVwYiPfsc7fg/3HDf/PNN/Pkk0+iVqt544032Lx5Mx4eHkPW3L3U\nVLRae/v6mjV2XrChwGAQ8PQcyYIFL/Pgg9NZtsweznjuOZg//9+l4m1r2zj6bAcPqhKZF6PilZND\nKLQWBHvB/ooVkJPDwN03UZD9LXHjNuHmNpoes5lCrZZ8jYZ8rZaTGg3NJhPJSiUjXVwYOegMEpXK\nczRDOzrssfYPP4SsLHuYa+zY8+c4Or7uoOahaiK/dEeW0THoFBowmRopKipj3boKDh7UMHWyI3+d\n5UmUALKqXroMcvJ8/MlxlXHY0o7NwYEJYROYGDaRiWH20EyXxsbDL5vYVWjkb0tMuETZnUKTyUST\nyUSj0YhYJCJ00CGEys52DqGDlUu/kqT1GnrZXrOdzac2s7NmJ3EeAaR4B4Jg4nR/C6WqVvpNJqJd\nxCR5+pHqF8tw0vHNTUDztQ8aAmlJD6TW1ZOCOil5eQJO4gEynCvI6NhKRlgXI+cn4zn/2nMlCS0W\nyM3FsmUT2m0/YhlopGCUI2WxJlTBFnxcIUQhQikR0WdxprdfSXezE65dCYS0jcGrIhWhVInETYIi\nXoEyQYkkQkKLpIVSTSl51XkUFBZQWVlJcGIiftOnIU8NZcDThIe4k2x5P7GSLnxpQzRg38k5Ovri\n5BQ2eITj5BSGxubAt7vb2fjxCGrK0rhu9ipmTPuMRq9ACmVJlA+MoFoaToK6l6vqGrnq8FFGHzkC\nzs7UKhS09/SQ1tFBm1TKF6NG4Tpu3BkjHx0djcPgb3H8+HGeeOIJGhsbeeGFF5g7d+4+4YJIAAAg\nAElEQVQVNy91d3fz2muvsXr1av7617+ydOnSs2L4giBwtOkoH+d/zKaqTcyImsGCtAWMDxs/JDGf\n82HTpk08sHgxrv/4B92ZmaxPTmb8RbpjrxQGq5W/VVbSYjKxISnpTM5vqBAEgeKpxXhM9SD00aHR\ncB9POE7C+gScU87Nb/xHDf+WLVvYvn0777//Pvv37+fNN988x/DDJTR3n3nmzL8nTJhw3rbpjRvh\n8cftjTFDVet76aXPeO65n8jP30JSkr0p7NFHoafHrhsxY4bdoFY/WE1tiYW7j4Rz11wLz315GYQo\nlZWwciW2776mc6INjxd2IEscd84wtcVC4aATyB90CvVGIwlKJSOdnUkfdAiJSiWOYjF6vT1hvWIF\neHnZ53399eeyAvTs6aHi9gpiV8fife25q4KWlhbeeec1Pv10HVlZsSy4O5MEPxWmzhKMpkaMsj4a\ngVKVE4V6GXlaE44SGeOCkpkwbBxOLXfw1D8TuOEGEa+++u8dkyAI9FksZzmCsx5NJlpMRmSCGZGp\nE4O2gRCZjHSvUCYHpZDqHkCoTIbvb/INXbouDh7cxi952zmiqqRO0YzBwYi4MwWhJZ0wR38yvL2Z\nKO1gTPnPRKk1SG+cD7ffbpeLGoTZauaU6hRlXWWUdpZS1lVGWWcZDf0NhLuHM1YSwcwqCUnHbCiL\nBuh1TaDNKZx+QY5SaWQgthYSmhGFNyN4NSJx7mBAgD6jM72dSmpLBqg+1Y+fXzBh0RF4Jvgg8TSC\nqAMXWwv+dIJYiVwejofCTrFtN+7hg4Y+FJvNjKZjH+pTG1H1HCan3puvvlnKqaqR3JnxOYtScgk0\neeDQb4TqaoSyMvSucqq8ndgwLIRdodGURqZgSEzEXatmWkUV0wqLyJwzh7hflXnOuVQrWbZsGbm5\nuTz99NP8/e9/H7J29IWgVqtZsWIF7777LnPnzmXZsmUE/0bEp8/Yx7qidXx88mMsNgv3jLyHecPn\n4a3445TUDQ0NPPDAA1Q0NeG1YgWO7u58m5Aw5GqaP4KugQGuKy1lmJMTa2Jj/xDra9uaNlreayEt\nN21IAuyCIHDI+RCjW0cjcZOwf/9+9u/ff+b1/6jm7pNPPskXX3yBRCLBaDSiVquZM2cOeXl57N+/\nf+iau0PAtdfau+T/9a+hzc1gMODrG4q/fw5FRZEoFPbF+qZNdicSGgpvvAFJcTYKJxaijXDnjm8C\nuOdRKU+9cpkxzo4O+l+6A8UXB5BcPRPR0mWQkXHRt2gtFop0Ok5qNJzUaDih0XDaaCRpcGeQ7uLC\nCIULNbsVrHhDTE+PPew1b97Z1SbqPDWl15YS/ko4AfPPv13W6XR89tlnrFixguDgYB599FFmzZqF\nWCTCWnYCY85mTBX7MbTmUx4i4lCwE8dERvI0epQDboi2fcxA2wheffUjJmRLcHIahkw2DCcn++Hg\noMBqs5LbksvGyo1sOrWJPqOaq2NvInXYVAK8h9NhEc5yEI0mE/0mCwkn3AjZ6oIxX0GNyZVWQU54\njIW0cZCR2Yuzz0Gaqj4mryOHApkOg6OYeDc50a4m4twURLgFYxG7Ua0xk9el4mhHC34u9hBNsnsy\nKboUwrrCcGtyw1hhRF+ux1hvRDZMhjJOjsJZhbKnAEX5NmT6CiqTAvnR38hXAS3UK/twGRAY6SEj\nI1BEotcAvk4CDiIQRA6IsWJCiU3qj1IeTbB7Gu6uo3FxGTFY0mu/vg3aCtTlP9Dfuge1UIpB2Yey\nRkR+zjWs+mUp7b2RLA36hrv17+Ok7qA3JIQ6hYITZjO7Ozo4ptUSmZrKiBEjSE1NJSUlgVCvXiQr\n3+BUTidbbkvhcNooikTxeEocuMrdk4legYx3c0Pa08Ozzz7Lhg0beOyxx1i0aBHyoWayLwCDwcB7\n773H66+/zowZM3jmmWeIGGy1/7XJ6sMTH/JTxU/MiJ7BvSPvZfyw8VcUgjGbzbz11lssX76c25Yt\nY3t2NrO8vHg9MvKcnfOfiVN6PdcUF3OLry8vhIf/IQEgU7uJEyknSNmVgkvqpSmcAQa6B8iNymVc\n37kLSfgvCPX8igMHDpwJ9Tz22GN/XHP3AmhosFed5ObCRXo9zsKjjz7G1q02xo59g48//vfzZjN8\n9JG9+3f2bHhmkYmma04ykOnN/N3DuO9fjixdenk/sCAIVJ28A7cfyvH/ugdRdDQsXWonJxtqeaXV\nSqFWy4lBR3BCo6HRaCRZ6UxQlQ+1n/nQUurIw4tF/GOh6Iweiq5SR/H0YoIWBV20UsBisfDjjz/y\n2muvYTAYeOyxx7j99ttx/HXbKgj2JopBkXbb/n0URjixa4I3XzVPpGzDk/hO/ohrbvmedG8xEfJ+\nCrqaOaISc6zbipeTgskh8cyIHEtm8FgU8gicnMKQSOz15W1t9ma7I7stHNlpobheiqdogLgIE4GT\nLMimmRiI0NBu0hC2fz/Tt2zh6pMnOZqVxZ4ZE8kbEUafpoKOjhy6e0pQoMNsMeEsyBhrjGFkXwiR\nXb74tcchbQrH1uaGdJiAMkGJS7IvzkkuKBIUyKPkdPaeoqRkF/X1R1GpSjGbGwizGEhtERFUZMWt\nQoQ60YWqrCDWx7myhV4aehqRyv1wd4tDZDVh0pRzW3Qm00MTiXd3xmyqQ68vR6ctw2Y1IraIsTGA\n2CSgbHPErcULeaU7+w+P5IPWe2kVB3FfyBck+u8lV9/H5oYG2mUyUtPSGDFixBlDHxkZ+e9wjCDY\nSeIeeQTGjYPXXsMW4IdOV0xP7wFO9pRxWG3gpGU4eQPxmDQGYo167s8eyzVBQUNqLLvY9bNmzRqe\ne+45srKyeP7558902urNer4p+YYPTnxAr6GX+9LvY37qfHyVQ6zKuAhyc3O555578Pf3Z9Ybb/C8\nWs3KyEj+cqUcGJfAsf5+bigt5YXwcBZcQadv2dwy5JFyIl45V9v6QtDka6j8eyUZRedfQP5XGf43\n33yTTZs20dPTc+Wau+fBa6/ZbdK2bUMbf/r0adLTM3B3b2T5cgU33XT263199n6BNWvg+Rv7SNlQ\nSq9SwWJ9CguXSFiyZMhTA+xlnEVFE/FyncGwo2H2Cctk8MQT9iL5P7BFVFss5Gs0nBx0CIfzzbSv\nC4A8T9JuVXPXIiuTI5wJ7BZRNKUI31t8CXv24gkuQRDYu3cvy5cvp7Kykn/+858sWLAA59/z/tps\n9szzoCRj9f5abhBW0+luwXzznfQ5V+EmcyMzKI2/Jkzl6qBhWAaaMBrr6e9vpajImYKCYCoqMqko\ny0avcSXBsZ94k56Ro/sYf7eImBvCcXSy8xuocw+h+egdPDbsoNXfmR9HOfN+lAmdZzBBvml4KWPx\n6x2GZ4MbrnUOuNdYCawTCGgTUPkZaQ/spMG7mjLXPLQh3UQmaEnxGiBU1oOXRAs2KRaLDQcHM2Yz\nqNVKbLYgXF3jCArKIDQ0E2Rh5Bpd2d/UinHnTrIPHWLmsWNY/fwQzZ5Fy7h4trp3sr/xIIcbD+Ms\ndQKzkV6zjnSFmAn+Fqaoxfh1uuDUL0WsNjIgN9IXLafdV4LUS4eq25+WJhvdvVocHSPw8UkjMvJq\nRoyYcMH6dsAeWly0CLq67HW3V111zhCz2cyHH37ICy88y/gJ0cy4J4pKmZVCYTiFpCAVO3KVuzuT\nPAOZ6OExJEcgCAI//vgjy5YtIyQkhJdffplRo0YBUK2q5oO8D/ii+AtGh4xmYcZCpkZO/cOx+99C\no9GwbNkyvv/+e15/800qsrL4sqODDUlJjLiQnNifhM3d3dxZVcW6uDhm/IFS1l/RvaWb2n/Wkl6U\njoN86Pd/189dtK9pJ3lT8nlf/68x/H8Elzv5gQE7XffKlUNXmbr22mtJTr6OTz+9i4KC80s8Vlfb\n4+gBh5q4UdmGxiBiiXM6ix4U8fDDQ54eACZTKydPZhAX9xme7lPsXBIvvWTvLnv8cXtTwhXGVnvM\nZraU6Hh/pQMFm+Q4Tu1CemsTV3s6Mn+hDtlEV1JWxuA/hLjnyZMnefXVVzlw4AD/+Mc/eOCBB860\n1v+KZnUzP1f8zIbKnzneeIKQAy/ScuQOVsjvJ2hUPrvS3NkuONFYH4t/3w1YmzLoPO1DQqyIFB8D\nkV0dhJ/qJHZiH8rrmhEyC+kxlaAz1OGoasdvtxXfHTYkaiieqKRqagxOblcR1D0Kn7Z4xDUydKU6\nDNUGZMEylElKFIkKnGJFWMI76PY/RY+lGp2+FrOhDsnAaZT00GVR0DrgSKvWRJtOT6/FBanEm1A3\nN0Z6CIRLG3BAoE0+mXzxWI5aIik0Khjp4sI0T2+menoywtkZsc0GubkIG37G9tO3oOpCPVxKS7aO\nvBgbpa0OHNfCCakVqVWEUQJRehdS2wPoLBLYVxmFTfw8To6+3DD7BHf+XU1UlASxuPk3hHsVgBiF\nIh6FIg6lMn6QmjseJ6s3opdegdWr7bHOf/zjHM5/QRDYuHEjjz/+OKGhobzxxhsMHz78zGt6fTm9\nvQcoVuWzX62jSEihgOFIxY5McPdgklcgE93dCf9dGOjgwYM89thjDAwMsHz5cqZMmYLVZmVb9Tbe\nz3uf/LZ87hpxF/em30uYe9gVXde/xdatW1m4cCGTJk3i6eXLebC9nT6LhR8SE//PZTZXt7byVH09\nG5OSGDUE+oULwWqwkpeYR8xHMXhOuTzVuaa3mjDWGol+9/y9DP9Thh/sdnTJEntt/1Ds586dO1m6\ndCmzZ+eTlydi27YLR1727BaomFOCl9iMMt2Fh+pieOIJO4fV5aCv7yBlZTeTlpaLXB5m357v2wcv\nvww1NfYQ0N//PvRM9UXQ1mZPAq/+VCD9GhMJc9vJXNZESaSNbx6VkuHuxigXFzJdXRnp4oLyAruO\nqqoqXnvtNTZs2MDdd9/N9fOv56DqID9V/kRNTw2zYmZxfez1TIuahtiq4PPP4YknBDwVRvT9Fmwm\nM2miw7jFnEIc3M+wTimjK9Loj+ynd3ovPVf1UGWuorijmLruav7S5sP8kwKJJTbaUyZjjBmPzRKI\nodzGQLUMkYsBIhqxDatAFNGIJLoPh/BeRE5mbDYDFksvgmDFZvOnr8+ZhgYzpaUqKirUeHgkEhWV\nTXp6FsNHjkQRGkqNXs3h5hOcaM2jvKuMVrOA2SUOPEchwUqwrZHxshqmS47ia60AaQAyWSxKjYC0\nqxmjvhGdjwanThHeORK8D1hQNksRGaz0+fqS5+XFB1YzO031uI50xRhpRuOog55wxM3jmZwWzof/\nuJ1wz/NTbNjLXzt/Q7A3SLinKrDTcWvdUISNQ+GZNugUElAoYhCLZRQWFvLwww/T1dXF66+/zvTp\n0y+549Ppyujt3U9xTz4H+vUUitIoEJKROzhytYcX8UYbe954g5pjx3jppZe49dZbUQ+o+azgM97P\nex9PuSeLMhZxS9ItOEkuX2XsQlCpVCxevJhjx47x8ccfEzF6NLNLShjr5sY70dGXZLu8EgiCwEsN\nDaxpb2dHSgrRV8jcefqZ0+gr9CR+d27n7aVQ83ANjkGOFwzd/s8ZfkGwV+RMnw4PPXTp8Tabjbi4\nOFavXssjj4zmzjvh/vsvPF7fNsDh+BNoNZAzMY6vKjx5/XV78cjloKlpJR0dXzBixJGzOnA5dsy+\nAygshMces6ukX2GyDUClgrfeglWr4JppNuacqiQw3kb1cm9ytRqOq9WU6HREyeVkurqecQYJSiUO\ng79DeVc5q/etZt2qdfQe7yVpchJPLn2SMcNuJC9XytGjdqbpoiKIi7PnXAoK7GIiX77eh3FbEcb1\nWjBrcBVvxyzbxtqsXg7HONEsFTOzPY15xXEMK3fF6BCDTghDkMqQJ0lwjDHgEN2JEF6LJbiIAWnF\nIJePC05OoTg4eNHba6O2tpfi4i6OHeumpERHWJiI+HgZyckBjBgRQ2LicJydI39TSRMKIikFWi3b\nVSq29/RQotNxlZsbY50d8TDUUtV6hKPNuZS0HcdRJMNN7o+Lmw9+nh6EOzsQSz2R1KLAQI8xgI4+\nL0rrxOQd68Sj25W/OLkxUa1mWE0NuuHDWRN+NR8U3UyPLoq/PXqMRs+P2d/4C936btxl7owdNpZ7\n0u5hauRUZJILOP+WFli8GIqKsKxagSEz8DcOwX4YDKfp75dx6pSJ8PDxZGXdiotLMgpFHBLJ0KvT\nBMGGVltMb+8+fqnLY+W+ASpkKTikpxOolJGhlNHbfpCcsg+ZFT6OB0Y9QGZQ5p9eL//DDz/wwAMP\ncNttt/HCCy9QbLFwY1kZT4SGsijo8uhALheCILCktpbdvb3sTEm54iohfY2e/Kx80gvTcQq+fMdY\nOqcU39t88b35/DmS/znDD3b90fHj7XnI89EL/B7Lly+npqaGJUs+YcwYu/G6WDd338E+iq8rRWsS\nc49iFFqLhLVr7SWVQ4UgCJSX34aDg5K4uE/PHZCfD88/bxcPfuwxuPfeP8UB9PXZw7/vvC0wyqGX\nRWN7mf59BCKxiAGbjSKtlly1mlyNhly1mlaTAW9rD9ru46Au54aAeMZJb6H1pB/r1q2gqmoNUunt\njB69lEmTghk9WiA0voNTmgJK60rRbdDj/30qvipP8pJOYZhXQkRwBPE98QSccoOjKrRlBgaMCqTy\nRkyhjbQk16OLr8E3vg1Xv1YcHX1xVsacIWpzcoqgt1dBcXE3OTnFHD9+nIKCAkJCQsjIyCAzM5OM\njAxSUlKQyRwZGOjAaDyN0Xh6UJv4NF2GVg7qnTlsjuY4o3AVW7jKqZNJLlbGu3vi5hiKOL8EXcGP\n9NsK6A/pw+Qs0FsG1d1yCkXO5DiZaZRocNQoMXbK8POIYmR8JPHDJPgq2/ER1eErNKDCl3aHWPLL\nsxFWBjO98Qg3iLfiEBWCZM4NON58M8TH06Xr4u3ct/m+/HtqemoQISLeJ565iXOZGT2TVP9UxAL2\nRo5nnrHT0z7xxDmkQQMDA7z77ru89trL3H//tcyffzXQgF5ffka0Ryr1RalMQKFI+M1jPBKJ23mv\nG5PJxNtvv81rr73GX/5yB4sXX8PB1vWsrCrhlDgSb/9sVPJEopykTPUKZIqnN2Pd3FBcoaA92PsA\nFi5cSHFxMWvWrCE7O5tvOjpYXFPD2rg4rrmCGPtQYBUE7qmqolyvZ2ty8hV3/QqCQMnMEtwnuBP6\n2NBq9n+PkxkniXo3Cres8/9e/5OGH+DBB+29OR98cOmxLS0tJCcn09LSwqefyvn6azh06OK51voX\n6ml5vwXL1f4sOBFJfT188gn87W9Dn6PFouXkyZGEhT2Nn98d5x9UUGB3AIPdh9xzzx8S6P491Gp4\n6w0bK1+1MT5Ux+tbXYmOtX/fpZ2lfFf2Hd+Vf4duQEGkaAn602OoL/BEVajAwd1MyEgTGdlWEiMq\nydn6Cvt+2ov3KG8MowwkdSdxY+mNxBXFYY2z4prgirnflfpf1ASbTch8zEgi2sG7CGtwEebUahyD\njCidI5B3SJGX9GDMqyPP153toW5stbbg2u9BiCYUW7ONmuIaxGIxmZmZjBo1ilGjRpGRkYGb2/lv\nAhisqtLr2aJSsbWnhxMaDWPd3LjGw51Jzkb8G44zsG0thq4CdF59qONsALhUgqhdSpPWg0NqT/Y1\nD1BS3kZAgC/p6ZmkZKSiiFLQo+whvzOfY03HUDoqyQ7OZnTIaEK8UlhfbuDIO0GoC4Zx87y1XH/N\nyziIBxgo9cf9gI2kw20YlK6cmHINTbNn45SWhr8EShp28HPRxxS3FyCTyHCwCUxtkjGlx4Mpj64i\nLGPKOee5c+dOFi9eTEREBCtXriQ2NvY834UVo7Eena4Mvb5ikF/J/rdE4oFSmXjmkMvj2bfvNEuW\nPE1SUhIvv/oyx43HWZGzAhEiHsp6iFsS5jCgz6ejZy9Hums4YnSl0OEqTlkDGeksY6pXMFM9PUlz\nccHhMlflGzdu5P777+f222/nhRdewMnJiVcbG/motZXNyckkX4nQ8BAwYLNxR0UFfRYLPycm4nyF\ndBUAXRu6OP3kadIL0xE7/rHQ1NHgo6QdTcMp9Py24H/W8Pf02MMN+/fDRbQbzmDatGnMnz+fW265\njfHj7dQIixZdeLxgFTiZfRJ9uZ7UYyN58iMlH3xgX5ivXDl026zRFFJcPIURI46hUERdeGB+vn2V\nV1gIy5bBnXfCn5DE6mm1smxMJ9+0eRM5uZie4c+g6/QhXPNXTHUZVJc5k5AgImu0hcDEOkQhORTY\nSsnT6mgUXHBwT0KQ+JJ9vBOnjzdxrHE7U+UTuMPpNjwNvjhEdSJE1GINK8Yhppcesxqv1lZCOvpQ\nJk1Ffs0C5HFXIxbbt842m42KigpyjhwhZ/NmcnJzOa1SEekIyhg3uhIktIfomJQ2hVkxs5gRNYMg\n16DzntuAzcah/n62qFRs7u7GaLMxy8uLmTIZE/NPwIHP6TPm0hfcTX+SgINJhHOjBzr1MAr0MWyp\n7Cc3Lw+pVExqagTJyZ7ExUmIjtYjlTZhNDYglXohl0cM6hNH4uQUQYtRysGOFj46UcGpb8YiFFxD\n6NSN3HxnMxNj08kOzkbpYECrLUStyUfVl48oLxfvX7rwPijGInbk5MQU1o+fxNcRY/GQKfFtPk1o\n0VFK5aX0u/Vh0DXho/BmRtRUpkZMJVoazVOPPUVhYSFvv/02s2bNuuxrQRBsGI0Ng06gjNbWo9TV\n7cPLS4tU6kW/2IPD7S2IHCOYHn8fE6LnI5GcS0tgNvfS17ePJtU+9qmaOW6N4qRoND2CK1d7uDPN\nK4Cpnp4Mu8hNolarefDBBzl06BBr165l3LhxWGw2Hqip4Vh/P9tSUi4pWXilGLDZmFtWhgB8l5g4\nZHbNi8E2YON4/HF7Qnfy5SV0f4VgFTjodJBxunEXdBz/s4Yf7NWSJ07YdTQuha+//pp169axY8cO\nKivtVAj5+Rfm+wcw1BrIS8lDmawk7Vgaq1aJWLLELqH32WcwVG3m5ub3aG9fS1raUcTiSxjz3Fy7\nyEBNjX0ncNttF9R2vRTq++pZfWgT639uJvD7+RSaw9GYnAgMEhg7owXP5OP0em+ntC+Hut46Yr1j\nGek1ktG6FCJbfFCekmE8YcNS64wg10NMNZ2BVXzWmsOh0loy5wzntkV/YYwykrjvj+Dw8VqE6Gg2\n+N3HI0fm8OX3MhIS+sjNzeXYsWMcO3aM3NxcvL29ycrKIisri+zsbFJSUpD298Pu3bBjB137t7Ez\nXsLWka7slLcyzCuSWbGzmRUzi2i/Eezs6WWTSsWOnh6iZTJmGwzMOn6cqCNf0q+ooi/WSN9wkBgl\nOLT60qAOZ3eDB78cqqSjo4P09PSzdhNBQed3LP/WEqg9I0mp0ddyqrOeTV/PZNP3/2Da9J387Z5t\ndDiaKO41UNDVSn7nKYa5hTE2dOyZY5jbMKxWNVpNIabcLTj8tAPnHacQLGZUGRLahgdQP+t2ypwS\n2N7nSKnOiN7Ui6ivFIdTO7CIWnARBTI2/VamxV7D5JBRRMoVf6iLtL+/n+eee44vvviCRY8uQpXY\nze7qddwUNZLZESk4041OV4rBUIWjYxBKZRLOzskolUkolcl2zQTxv8MhBsNpent3U9l9lL19ak6I\nRnNCSMZT6sgMrwCme/kwwd39TFjoyJEj/PWvf2Xy5MmsWLECZ2dn9FYrt5aXY7TZ+CExEdc/YeV9\nMZhsNm4qK0MqErE+IeFPSxo3v9NMz44eUral/PG5DTZ8jekcc8Ex/9OGX6eDqCjYvt0ud3cx6PV6\ngoODKS0tJTAwkBdftOdZt2y5eH9V8/vN1D1aR8wnMfjf4c/KlfYqGpvN3vy1fDlcJAIB2MMQpaU3\nIJdHEhX15tBObv9+e3xXp4NXXrHXrw5hG11Wp2LF+pNs3a2luzwRsTaEyOHthMc2MmaHlfqYI6w1\neyMtv4npN2/glpQ2AlvckVQpMJc5Y2v0hMA2xMM6EZzUSLwkeE0KJGDWCJQecUgkLlgFgb2Vlbzx\n4IMcP3CARSIRAdOnUz5vHgofH2RlZRzfaOGXPbfj4PAcWVlFjB49muzsbLKyss5hajwHNpt957N9\nO5btW9kgtPDRnGnkRKRgcI4gqauRuaWVzM3ZgcLlFL1pIvpSbIgsUgztARR3BbLr+AAHD1USGRlJ\nVlYWmZmZZGZmEh8ff4a35nJgsdlY3drO0k+0mD8OZ8JoEW++pCMwsHpQaezfovUaXTWVfT1U6t0p\nVTtQoOpH6uBIduBwxoVNZGL4tSR7JyJ+7XWsb7+OJSsRh+JqbIKJ7skKWsf1YkuIRKX2Yv13BZS2\ni+gcPwq/8GR0+naaOnIwDvQjeGTg5jOa2OCriHMLINLJiQi5nCi5nEi5HE+J5Gx2U0Fg/fr1LFmy\nhOyJ2ThMcWBPxx7uTL2Th7IeOmdnZbNZMBhq0OlKB4nkStDpSjGZmpDLY1AqkwcdQjJKZQoyWRCC\nYEWjyUPVs4tj3cUc1LuR7zCBCmsQo5zlOOSXUfDhh6x++mmuv+46APrMZmaVlBAul/NpbOz/aeUO\ngNFq5cayMuRiMd8kJPxpnb+Wfgu5MbkM3z38vPw6Q4WmQEPl/As3b8H/uOEHeOcdO/vspk2XHnv3\n3XcTExMzWJdsr0pZtgxuvfXC7xEEgZNZJzFUGshuzkbiIuGRR+w52dhY2LnTXklzqZ232dzDiROp\nxMWtwcNj0tBOThBg82Z77N/Pz77F+R0VREcH7P5lgHUbGjl62BFdjwuuMYV4xpViCt6FyPcAV4eE\nM0oWSlR9CPIDroj6PRFqgxC6vdH59eAQO0DoJCekMiW6/Uq0hyX4/8WfwHsCUSb8bqtvNMLXX8Pb\nbyMYjewbO5ZH8/Ioq65GLJEgUiiQpaSgi48ncthkOldNY8zVNta8I8XTaeiruEqdjp/q6vi5o4PT\nViszT55k5pEdpIrz6BlpRJ0KBilUqWTU1XtydLuF9lrOOJesrCzS09Nx+RMafTEBetQAACAASURB\nVHb39HDvT+10rwwjxEnGx+84MObCizEArFY9BkPdGTnKqq58jjYXktfZSFGXDp0WsvqkjBidSnbi\neDKCxuNWbUX280GE9d/SadJwINCE7+IMXFKMaHUl9FsU5PfoMDoMI8hnOhaHULaf3s/RhgMEeMQS\nGDAOmfdoVLIw6oxGgDNOwKO9nYPPPoumq42g2wI5raziwVEPsjBjIR7yyxMItlr1g3mDUnS6YnS6\nErTaYgTBjFKZgrNzCs7Ow1EqU3B0DECtPkpF40Z2dTVzQpRJiWI8EgcF13j7M8bNg9ebmpjg7s5b\nUVF/iBLhcmC22bixrAyZWMzX8fF/Kt1D3bI6BloHiFsTd0Wfo9qqouW9FlK2X3jX8D9v+I1Gu0Te\nDz9AZubFxx46dIj77ruP0tJSRCIRubn2Sp2KCrgYsZ+pxUROZA4BdwUQ834MVitcd51dC/zGG+Hu\nu+1hn7fegov1e6hU26muXkh6esllldthsdjbi599loGsq9g//VV+Lgxk4w41nW2OCMP2E5i6hdCE\n/YyOM5Hi4ItfQyCOlV6IqiKhOg76nZElGXGKlaA5MkDogmRCHgmn8KCFDfe2Mby+FbcIRxKfCML3\nFp9zuwzb2xl46y346CPqvb1ZrVSyqqaGiMhIxowZQ0BAANu2baO/v5/ly5czfvp0cjQadjep+fQ+\nT9Q2C8nLG5gY7MJ4d3fGubmdVT0hGAwUnzzJD01N/CiToQauyz3CZF0+cfLj9CcZMPiI6Wzw5Hi+\niM17epD1iAkIF9Bmu1MeoCPGL54bEm7khvgbiPO+spsP7Dwti3IaOPa6N7IiT1YuF3PHHaI/Gnmz\nO/K1axEee4yGJbeyZ5wTh5uPcay1glZdP8nuUtx6Bzi+Hu7z8eYhbx88f2lAiAzFdvstmK4bQ6+0\nkvLmn+nX5OEuVqPFCzfXbLqFaA53dLG7/jiaAQ0zomcwIWIGgd6j+OjtVWxa9T6yKT4YRqiRhd+O\nxX8mUc4eRA/uEH59jJLLCZLJ/pABHhjoQKstQacrRqstQqcrRq+vwmLxIje3i6Cgq5gw4RoGBtoo\n6KlksyGQ74U5WJEw0U3JbJ9AZnt7XzQ3cCWwCQJ//TWRm5T0p+4sTC0m8lLy7OWbIVc2/9ZPWlHn\nqIn79MLX8P+84Qf4+GO74d+16+LjBEEgKiqKb7/9lvT0dMButL287CGbi6H+hXoanm8guy0bR29H\n1Go7dfLixfYa/yVL7Kv/tWsvHvuvqJiPROJCdPS7Qzo3kwkOHrLy7WYVOXv7+Jv+TW4M/YKDKd40\njtAT7SbCr3EYDqdGIKkdga0iFKFXjjzFAdcMT9wyfHFNd0UeLUcktt/M2lIthVcV4prlivqYGu/r\nvTmdGsQjH7ng72/fRSUl2WPBhV9/jWLVKmLLy1kvErEvOZmwadMYN24co0ePPouKQxAEtm3bxpIl\nSwgJCWHFihUkJSVhscA/HhDYtd/GTZ+0Ueyioq6ujtmnThHf2Um5QsGWuDisjo7MbihgonoPft75\nGGIEulqcySl04MARE15eWYwePZaxY8eSmZmJq6srnD4Nmzdj3ryBA205/DzBjw3+fbi6+nBj0lxu\njL+RVP/Uy6oB11mtPF/TwHvviOCbUBYuEPPMUyKuqMCkv99esVVRAV99ZW9B/w2qW6q5+4W7Kewt\nwHOkGyprDyN9Qsh0d2FatYrEva145pjQjHRFc0MS1unj6XfwZl/jUao6DhCuGGC4uwyFWE+vKIG8\nfme21jRR1F2LVCXFydeJxyc/zj+z/4mTxAmNxUKtwUCNwUD14PHr3/0WC5FyOTGDDiFGoTjz6CuV\nDvm7tFgs/OtfSzl06CtefXUBgYH2hLdWW4hVgBJrGC7yYCLF3eToROwXz+SoMAJ/Ryeu9Qnieh8f\nMlxc/pRdgCAILKyuplynY0dKCvI/oQz1t6i8uxKpt5TIV4dIJHYR1D9Xj2ARCH8h/IJj/r/hx066\nFhdnT7iOH3/xsc899xw9PT28/fbbgL3zNSnJLrAdFnbh9wlWgaMBR3EZ5ULKFvsWrLraniT+/ns7\nbcq2bfZ7+/bb4cUXz1+UYzb3kpeXRELCN7i7n8u1Ighw4Hg7G3cdp/l0Pc6iTobF5BAeXoa/qwp1\ndQQO5SMJOBGLcCoMiykIZaorrqPccclwwSXDBUWM4oyRP+uzbQKqzSqa3mxCX6nHqreSsjsF92y7\n8e7pUfPkk42sWxfG1bI3Wah+lSyJjaIxY3BcvJi0qVOHxOz4b76YF7jpppt48fnn8ejo5O3n+nhz\nayzvJz5IXoY76ydMQOvkSIKukhjFMaY77sSgFnHyhIjiIikeHhPIyprA2LFjSU1NvbQyVF8fbNuG\n7eefyCvZwY9jPPgxzABKZ25MnsvcxLmMDBh5QcMlCAI/dXezcEM7A29EkxLiyCcfiC/a8zEknDxp\nLyObOtWeIPrdinbXrl3ceeedzJkzh1deeQWlUkm3vpsD9QfYV7+PffX7aNO0Md1nFPOqxWT9UoVL\nTTv904Nony6iK6SRcp2C7R1S8rp6uD44hNZtRvZta+Mv9wh4jJRTqPXiSIeKSI8wro+fy40Jc4n3\njj/vd6GxWM5yCNV6PacMBk7p9ZgF4d+OQC4nVqEgVqEgRi4/qxRSpVJx62AMdf369WdJNzYbjVxX\nsJuFHiomy1vQaArQagsYGGjFwcGDLqsDJUIC+8QzOEUC1/iEcoOPD1d7ePzhyptldXXs6u1l7/Dh\nf3ri+FeBlcyaTKTuV678VXVfFc4pzgQtPH/RAfyHDX9TUxPz5s2js7MTkUjEPffcw4MPPvinaO5e\nLj75xJ6o3bjx4uPy8vK46667KC4uPvPcc8/BqVP2hdjF0L2lm9JrS8moyEAZa499795tp0ouKLBX\n+3R329kYOjvhm28g4jyEfN3dG6mtXcLIkQUYTW2cOLWN/OICBtRN+Di3ExxYS6/WE0NnDJa6YWiL\nPfCvT8GvKQxluBK3LDdcR7niIqtD+dZixJ5udgWX+PjzzttqsNL+eTvNK5qRuEsIeSQE7zne1K+p\nZ8szW2iZ28KB3AOUlpSwMCqK+3q1KFQWVjgsZfiK+dx+l3yoBKN2mM1QUEDPjh08tWYNPzY08Gho\nKOYFC1gVOZJmiTOTGg5zjc+XxPlUUFIsprTMGYN0DAPRY2mLj6fU3Z1UFxcme3gw2cODLFfXy4vH\nGo2wezfCjz9QdGwD32c68130ADalgrkpt3Nb8m0k+yafMXxNRiML8ms5/qY34qM+vLtCzK23DplY\n9fwQBHsC6Jln7L/P3LlnvWwwGFi6dCk//fQTa9euZdKkC+d+2jRt/HL6F/ae3sueuj0Eq8w8WufP\nlAMtyLz9YP5ctNclsv7kFv750BcYXSy4zhHxlwQxN4VH4ib3xGy1cLyzhf1tnRxRiVE4OjMr8ipu\nSVnA6GHXDGkl32M2U20wUKXXc0qvp2rQIVQbDHhKJMQqFHjp9exds4aro6NZvnAhYUrlmVV7u8nE\n+MJC7gwI4PHfldRZLP1otYVoNPn09e1Drc5lwNxNLx5UiVPJF4bj65bJhIAxXOPtf0H6kd9jTVsb\nLzU0kJOWhvf/Ac9P9UPViJ3Ef8pqH6Dk2hL87/TH53qfC475jxr+9vZ22tvbSU1NRavVMnLkSDZs\n2MCaNWv+FM3dy4FWay/NLC6G4HMlKs/AbDbj4eFBS0vLmYYgnc7eybthwyVp9MlLyQMRZ2Xcn3nG\nXoW5bZu98lIQ7OGSl16y3+833wxmcx86XQmq/uPUd/6CQZWDVKxFrXXjdG0q3epg/HTxpNiSECpF\nmI6bsQ3YMCQZiJoUReSkSFzSXZC4/m618msX2wsv2LcbTz11ZkVp6bfQ8kELzW834zrKleBHgqlV\n1rJ792727t1Lbm4u0W7RZEjTWXhPBMk//YhYr4cnn4RbbuFEoYR777XnP1atuki3s9lsr6vdv99+\nHDsGYWFoJk7kh+Rk3lepKFzzGc5WLX970BWnpnDefW8dM2euZObMMCZMmELY77ZbequVI/397O3t\nZXdvLzUGA+Pd3Znq4cF0T0+iLodHxWyGvXsRvv+OwiM/8W2mkm8iDTi7+3Bb6l+x+lzNm9tdEb8Z\nx40zHHjjdREel5fvPBcmk73zNi/PrqkZfTbZVnl5OXPnziUxMZFVq1adQ4x3MQiCQHVPNbtrd7On\nZhfWX/Zyf5GU0SX9bHQUKJ49hn99spnirhLey32b3XV7uC4ynTuiogiQdqLVlmEwnKbGoORQl4V9\nHXqsgoipwcO4MWEOE6Pno1QmILoMhk2bINBkMvH5L7/w2vr1jLn1ViyBgVTo9fRbLMQqFEQ4OXGw\nv5+r3d15JiyMKLn8ks7catXR07OLjo6v6OzLQWfRIMPIaSIwyYYT6jmaMQET8XZJPO98D/b1cXNZ\nGQdSU4m7TKnEocDSbyEnPIf0oiuP7f+KE+kniPkgBtdRF04Y/leFeq6//noWLVrEokWL/jTN3cvB\n/ffb2Teffvri48aPH8+yZcuYOnXqmec+/RTWrbPbrYstfHSVOvIS8kjakoT3NXa+CIvFHvK5/XZ4\n4AEbRmM9Wm0h1dWF5OQdJyomH4VTH429npRXx9BQMp2ehiTSHDq5ynskgZ2gy9egC9SR45tDe2w7\n464fx5xpc1A4DtHAtbXBAw9AWRmWlR/TeCiI1o9aUUxUUDmiks0lm9mzZw/e3t5MmTKFKVOmMH78\neJyPHsMwdwlSJxOO770IN910Vt+AxQLvvWcPXT3yiJ3FVCKy2sstf/nFfhw5YhdJmDABW3Y2B0Ui\nVql72BoURKy+iOmKXXjX5HJgjze//NLLnXcuYM6c5dx0k4x16+y8S5dC18AAe3t72dXby86eHuRi\nMdM9PZnu6cnVHh5Dpw4wm2HPHmzrv+Gnmn0smplK5883Iq2bxv3PF/DsXaNxd7pCCb/2dnvW38/P\nflH9LjnwzTff8OCDD/Laa68xf/78K+KgsdgsvLH7DZ566SkCPBz5h0jJTYdVODi70HrHdUQtfhaL\nXMZHJz7iw5Mfkh6Yzj+z/smEYWMxGmvQ6crRaks50byHbfXF7G3XYhPgal8x00NCSAu6Ci+va/Hy\nmo2Dw8UbqlatWsXzzz/Pxo0bz9A2g51avFir5a6qKtwkEgIcHanQ62kymQh3ciJRqSRBoSBBqSRR\noSBGobhg4tVkaqez8xtqWtdTZTRgFinwsTXiIdIiVqQyzHMMnm6jcXXNpMnqwpj8fL6Ij2fKZTjW\ny0HTiiY0eRoSvhlCF+kQcTToKGm5aRfl+PmvMfz19fWMHz+e0tJSQkND/zTN3ctBYaFdqev06YvT\nMSxduhS5XH6W7KPVCiNG2Ffps2df/P8pmlaE/pSezNoM9PpKtNp8SksbufnmRax8axoh4bV0ml0o\n6BwgvySG2oN30Z83m2mB/cwONBLaq8bWqEeS2AmpzRwMNfKu5V3GJY5jceZisoKz/pAxMPeZUd31\nER4/P0OddwaPeJk41l7IpEmTmDZtGlOnTmXYsEF2yPx8O010QwPmh58i77kw4r9JwmPi+Ze6jYcb\nuXOBGF2nns+tfyEmQAOTJtmFkFNSaDt6lJfqyvkuNRlHmYkZ4u3ENpzESzqKESPuJyVlHGKxmObm\nZu69916ampp46KE1PP74SL7/fujNcDDIhaLTsb2nh+0qFflaLePc3Jjp5cVsLy9CLlEVIggCX3R0\nsHhrGw5PxTDL8SjT3Obx4xQpe9x7mBl3LXeNvJsJYRMun1e+pARmzrR3Xj/99FlO1GQy8cgjj7Bz\n505++OGHM7TJfxRHGo8w7915tKxp4Za5t7D67dVIpVLa+lso/uYtPD79isjydraP86f3ztvJHnMr\nBe0FvJX7Fo4Ojjwx9glujL8RB/G/bxar1UROwya+KPyYjTVHUDpYmOJrZZKvDT+FK3J5DO7u4/Dw\nmDqoNOaHzWZj2bJl/Pjjj2zfvp3I3yklCYLA/MpK1FYrPyYmngn7GK1WThkMlOt0lOv1lOp0lOl0\nNBiNRMrlJCmVJCuVJCmVpDg7E+bkdFai12Rqo6vre6raNrDP4E6TOAaFtY1x0loCLCV0Cy44Oo8i\n3X8yrq6jcXZORiT685K6NouN3KhcEr9LvOjq/HJwpmtXPw6x9MLX3n+F4ddqtYwfP56nnnqK66+/\n/rI0d/9sHzRqlD30MnPmhcds2rSJ999/n507d571/Lp19uqg8/UECIIVvf6UvTnl9BG68o8gTqrH\nURaAThxMtcbGZ99mU7BpHrGzd+BYMhO3Ig9m+vWTZOlD3GnklNSNsYvcCb/OjeZhzbx94nlmKb4n\nzzafe7KeI8Qt5A+ds7ZHy6GHDiH6TsRR0VGKgvbygkRFhNmM7Oefkab8ph64udlu8H/5xW6Y7r4b\npFJ6dvVQ+fdK0vPTcfRzBIPBTiW9Y4e9XKm/H9ukKXwgXsSzW9N5bqmBO5zW8O6R3Xw3MY2aqHTG\ncYixqnyyvTIZnf0QSuX5GfQEQeDLL7/kkUce4aabHuf77x9m40Yxo0f/odOnz2xmZ28vW1QqtqlU\nhDk5cZ23N3O8vUlUKs9yohqLhbsrqzj4mTOmL0L46AMxN9+MPTnz7beovlrNl66n+TRLhs7FiQWZ\n93PXiLvwUV443noGubn2lcdbb9k7rn+D3t5ebrjhBtzd3fn8888vyjt0yfM19rF0z1LWf7Ee9sC6\nNeu49tprzzt2oLqStuX/wvu7reyJFrN6ihexV8/FT+nHTxU/oTKoWDp2KfOGz0MiPjuMaBNsHG48\nzLqidfxY/j3JXn7MCpSS7tKCg6ADRIjFTqxd60x+voivv36WYcOuQi6PPivs8nJDAz92dXFwxIgh\nxeWNViuVg46gVKejZPDotVjOOIPhzs6kOjuTolTiIpFgMNTS0fE1Je2b2WXN5ivLNfjRzmKPNtId\nKrHpcjGZWnF1zcLNbSxubuNwdc08mzn3MtH5QyfNK5tJO5L2hz/j9zC1mTiReoIxHRdvFPmPG36z\n2cysWbOYMWMGDw3yJMfFxQ1Zc3coYuuXg9Wr7T1PF0vydnV1ER0dTU9Pz78l7QCNBkJC7NU6rq7t\nqNU5aDS5qNW5aDQnkEp9cHHJwCAOoW+BH7ViMUtmPEOSRwahrfch2ZHJ0RPe/6+9Mw+rqlr/+BeQ\nQWZkHiQNUXNCiERTc8QpNTU1bTBv3ubp162bdZsHS6ur1zSvppalOeaIiBrKdJgVBGRSkSPzzIFz\nGM74/f2xlYBzgINo1vV8nsen2HtNe5213/2ud631vhhtIcGzvAq70bZwmm4Ph0kOsA6wxn+/N8Zn\nm7Nx/xuf4lzNWbwe9DoWuDdAo8jHkCG7u/WcdXV1OHb0GC5+exEBKQGodaqF8QvGmPbMNMFeTgr2\nq3ffFfaqPvEEsH69cAjsxRcFj6DtDjddfT0NDZEFGO79PRAVJRyHvuED288PaGxE6Y4d2LjpJL71\nfR+qhfXo41GJWfJ4rOg7BA8MeRomJvrbUfPz87F06VJoNI7Iz9+BmBhnDO7h9nuVRgNRXR2OVlfj\nUGUlLIyNsdDZGQudnWFlbIxHkrPRtGoQHCXWOLDPSOfiO9LSwO3bkHzmZ2yeaIND7hLMGTIPr4x6\nFUFeHRwWOXNGOAm4Y4eW1lFQUICZM2di+vTp+Oabb9qMue5yLPcYXgh5AW5JbpCcl+Bk2EkM1Gfb\nUX09uHkzlOu+wbW+tvh0nBqRfVUI8gxCfm0+6uR1+HTSp1gybInOWU6jshFHco5ge+p2ZJRnYMmQ\nR7Cwf3+Iz/0ABwcx7OzsYGbmALVaCrW6ATY2/rC2DkAMxuGjSlckBATC06Jn/u1rlUpcbGhAmkyG\ntOv/zWxogIe5OfytreF//WNQIc3EuwVS/AtfIM5sEU4p/RBg44AXXS0wtlcOZPVxkEii0dBwETY2\n/rCzmwAHh8mwtR3TrQ9BytgUeL3hBZeFPQ8veQNpihS5K3IRmBrY5vqfKtg6STz99NNwdHTEunXr\nWq7fjpi7+nJjkTcjA+jABQsAwNfXF4cPH8awYcNAatDQcBF1dSKEhcXC2zselpa1sLUdDRubIPS2\nCsCF2mYcz4tG6OVQaKjBuxHvwjl0GDIf8Eav81L4sxbG7uZofsgNz53wxOVLhK3T79rNNck1vHf2\nPRzLPA3G/QMnP30FYx+whkolQ1KSL4YPD4ONTed+JxoaGnDkyBHs378feWfy8K75u3C2ccbgDYPh\nPacDp0OZmYLtqqZGOHiwcaPg5+IGly4Bhw4Bhw9DfUmMJMU2DHlbAbvXJgMODoBGg+Jff8X+NWsQ\n3pAD6QuzkTViIfpqqmEZFgTJ6WE4fND0prc8KpVKfPjhh9i8eSccHY8gPT0QPYx/0QJJnJNKcbCy\nEjvKylBZbgSb9/0xNdAUu7f16toHXlOTMAvYvA4/OhfhuwcAL49B+Of4dzB74OzfBeSJE8Dy5cK+\n3nb7iS9cuIA5c+bgzTffbFGMboYmZRPeOv0WQrNDMSBmABorG3H06FE4O+sxE2mNXC5MbVetgsyn\nL3Yvvg/rVDGoa66DsZExepv2xnezvsM0n2kdFpFXk4ftqduxPmY9TCpMsGXFFswcMBB1ktOoqQmD\nTJYKK6thUPXqiydq52Cl6U4MUifA2joAtrajYGs7Gra2QTA37+QF1ROVRoNLTU1IlcmQKpUiSSqF\nqK4OTqameNDGCoONrsBNdhjlahOc6bUIJZo+eN7DE895eMDRWIH6+jhIJFGQSCIgk6XD1nYUHBym\nXjdlBXS4wF2fXI/MRZkIuhIE41637iBY1fEqlGwq6dLXz03JTt4iYmJiaGRkRD8/P44cOZIjR45k\nWFgYq6urOWXKFPr6+jI4OJi1tbU689/CprThhRfITz/t+L5Go+LSpQ/zyy8fZVraw4yJcWBCgi+z\ns//GU6e2cfbsLEqb67nv4j4u+XUJ7Vfbc+z2sVwds5oxJ9O4a6aYO82SeAYR3OOWwqy1JWwuaW4p\n/9FHybVrhf+XyqV8/8z77LOmDz88+yHrmut48CDp4kImJgppCgs3MD19ts62qtVqhoeHc9myZbSz\ns+PsabN5ZN4RRveJZtF3RdSoNR0/qFxOrlxJurqS999PzphBSqVkfj65ejU5ciTp5ka+9BL522+k\nQsGSH0uYMi6FNTk53Dx3LidZmnPqVEs+9usztD97mDPif6GoIuN6P5KbN5POzmRERDd+IB0cPnyE\n5uZODA4+0bOCdLCluJjOO8/Tsa+SQa9X0TlGxAfPn+f2khJKlcquC9BoyPh4Khcv5N7RNrz/I3cO\n+s8A7krbRdWFVNLJiYyP18qWnZ1NFxcXHjhwoEftzyjP4LBNw7ho7yJOmzGNjz76KBsbG3tUJuVy\nctMm0sODmgULmJEYwjdOvkGH1Q40/8yc/pv9mVGW0WH2NWvWcPCwwdwQvYGB3wdywLcDuPX8VspV\ncioUNSwr280f42fxVKQtz58fzfz8z1ha+jPz8z9jevpsikROjIvz4sWLi1lYuJ719eeoVuvxW3TB\n33Ny+Gx2Ni83NHBveTnfvHyZ41NSaB0Vwf7Rhzk2Yg0DYw/QNjqSz+Xk8HJDQ0tepbKOVVXHeenS\n60xMvI8ikRMzM5ewrGwXFYqqNvVc/eAq8/6V1+P2tqd4SzGzV2R3me5mZOftkbY3we0S/OfOkffe\n2/ZaY+MVFhVtYkbGPMbE2HPlSjcuWDCY5eUHKJeXkSTlKjkPXwyhuZ2E1m/6c/rO6dxybguvpV1j\n4sv5POyQxINGsfzON5dRa6sY6xXLWI9YalRthW9qKunuTu5NPUrPf3vy8YOPs0BS0CbNkSNk375k\nZSWpVNYzKsqSarWi5X5FRQVXr17N/v3708/Pj2vXrqU4SszEIYlMfySdTYVNnXdCVhbp70/OmUOW\nl5O1teRDD5HW1mSfPsLXMSKCVKlasqjVap7dtJmHTH/hdItAfvKiE/9xehGdI49w7vkwZkklOqs6\ne1aQfT0V/uHhcTQxceWKFT/0rKBWbC8pocuOC3R01vCnn4RrCrWaRyorOTc9nfYxMXwuJ4eZMpl+\nBV66RM1zzzJ8hDWnveXGAkdTJq15nRpN2zFQXl7Oe++9lz/80LNnOX3lNJ2+cuL289v5zDPPcMaM\nGVQoFF1n1JfGRvKzz0hHR/Kzz6hskPLXzF85eONgGn1sxKCtQcyqyGqTJSUlhc7OziwqKiJJajQa\nRomjOG3nNHqt9eJ/4v/DM5Vl9IyNZY28gdXVJ5mT83eKRE48d24UCws3UC6vYEPDZZaW/sScnOeY\nmDiU0dG2TEubQbH4S0ok8d3+EPxWXc1+8fGs1/ExV6rVvCCVcoM4g48m/kz3iD00iwinaWQEhycl\ncU9ZGRVqdZs8TU0FLC7+nunpjzA62pYpKeNYUPBvNjWJmT47nRUHK7rZ2V1z9aOrvPrB1S7TGQS/\nDjQask8fJfPyInj58htMSBjA2Fg3ZmUtY1nZLjY3lzItLY0DBw4kSWZXZvPNU2/S+StnjvthHCct\nSePKN+pY9N8iRvudZ6iZiO9YXuK6Z2pZUvT7C37lnSuMdYtl5dHKNvVL5VJ6P5BKx0c/YrQ4usN2\nvv02OXMmqVaTiYmDKZVeYFZWFpctW0Z7e3suX76cSUlJJMnKI5UUOYlYsr1ES8hoEREhqOFbtggf\ngOefJ+3tydmzySVLyAEDSMnvQryxsZHfv/MO77Oyor+1CQ++OY7/DXmAA6IPclxyFBPr6rrs81sl\n/I8ezaGxcX9+8MGmnhVE8qfSUrqGJtLzHjX37dOdpqS5mR/n59NVJOK0Cxd4srq66/4lybw8atzc\neMXNnCM/8+T47eOYXSloao2NjQwKCuIHH3zQo/YfyjpE56+cGS2O5scff8yAgABKpdIeldkhYjE5\nf74wNhISSJJJRUn0XudN009NOW3nNEaLo6lQKOjn58cdO3boLCa5OJmzHLbh0gAAHPhJREFUfnmY\npms8+Vb8D236Uq1WsKoqjJmZjzM62o7p6Y+wquoENRpB4MrllayoOMRLl15jUtJwxsTYMyNjHouK\nvmNjY36Xj7AiO5sbCgv1ely5vJIJue/zw8i5vF90gCYRETSNjOSk1FT+u6CAmTJZm7arVE2sqjrR\n8gGL3D6YealfsLm5RK/69CXnuRwW/beoy3QGwd8KjUbFmpozzM5ewdDQPgwPv5/5+Z+wvj5F62VW\nKpW0tLbkg98+SNevXbnyt5W8XH2ZsmwZRYtyGWIcw+89LnKmfSXXfq1mqxlhC/Xn6ylyFTFlUkrL\ntaSiJPqs9+Hsrz+hp6eazc3a+W6gUJBjxwpWl9jYWfzww0C6uLhw1apVrK6uFp5JrWH+J/mM84pj\nXULXAphhYYIE/uYb4avi4kJ++CFZ0mqAvvAC+eSTlMlk/Ozll+liZsbZFuY8u24aI2M8+HzCV3Q4\nHs7Nh3L1E4LXuSH8Y2L0zqKTN964QgsLJ2ZkdGxq6IpDFRV0i4pl0AQVV67sOn2zWs0dpaUckpjI\ncSkpjJXont208H//J5jOUlKomhbM9Qs86fiFPT8++zHnL5jPJ598slt9154dqTvo9o0bz5ec5/bt\n29m/f3+WlpbedHl6c/CgoDRs3kxqNFSpVXz/zPu0/dKWrl+70vdjX46dP7bTZ1slFjPoty0ctmkY\nJ+6YyMyKTK00SmUdS0q2MTnZnwkJviwsXE+lsu34bm4uZWnpTmZlPUWRyIlJScOZl/ce6+qSddY/\nPCmJyXooKe3ryMl5jqGigVx24SRtoqM59vx59o2NZd+4OD6fk8OT1dVtZgPN5Q2Memgds7OXMybG\nnmlps1hefuCWmKrSZ6ez8khll+kMgp/ClCwv7x3GxrozOdmf1659zU8+KaAuhUutUfNg1kH6b/an\n1WArvrXhLcpVcsqyZEyfk06Rq4i7p16li3EzX3yROgX+DTQaDePuiWOUZRQV1QqmlaXR+StnHsgU\nbLozZgjvT2dkZdWzd++XuGyZDfftG0NZO5ODeJWY50ada7OG0CGHDglT9jFjBM1t2zaySdskpJZK\nKXFz40u9e3OpuTkvfvoKL6RM5bHEyRyZGMWZaWnMPFPOeJ94LTNWV/z4ozCx6Anx8aSX1zb6+fmx\nubMvZydMSEnhIy82ctq0NtasLlFpNPyxpITecXGcm55OsY7+Y12dYDKrqRH+1mjILVt4rZ8DRz/b\nnxZuFiyq6Vpr64i4gjh6/NuD2ZXZVCqVtLOzY2amtvC8beTmkkOGkH/7m2AKIhlzLYaOXzrS/FFz\nOq525IqjK1jZoC2gFGo1baOjebWxkUq1khsTN9LpKycezDqosyqNRsPa2hhevLiIIpELCwvXU62W\n60inokQSyytXVjIhYQATEgYyP/8TNjZeIUlKlUpaRkVR3s5coy+1tZFMSPDl8Qsr6J8UzwUZGUyU\nSPjVtWscff48+8TEcFlWFs/U1LDyVBVTJ6aSJFUqGUtLf2ZKyjjGx/djYeF6qlR6mg11kByQzLqk\nrj9ed7Xgr6tL5MWLixkT48BLl16nTPa7LfLwYUHwtqawrpCTf5pM/83+PJJ9hB988AE/eu0j5r6Q\nS5GTiCnvFnB8kIoPPSQodC++2HUbLr95mfH3xjN7dza91npxb8belnvh4WRgYMd5T506xXvuuYdT\npz7DGTNCee7cqDb3m4uaGdMnho1X9VjIi4sje/cWTDpr1wqLdzoQi8W8f+hQPm1hQUWvXqwM/5wi\nkRNzrn7JkUlJXCUWt2hTiUMTWZfYPQ2qtFRoQneEbXvkctLSUsNZsx7h22+/3e38zWo1zT/KZL97\nNbw+ceo2TSoVV4nFdBWJGH5DwN/gxAly0iTtTNnZ/MjNjUGBThy5eSSrG2+u8vfOvMd/hf+LJJmc\nnMyhQ4feVDk9QiolH3mEfPVVksL6z6AZg2j7qS3TytL46olX6bPep8W8dYM4iYR+182TN0guTmbf\ntX35/pn3qdZ0LJil0nSmpc1gQsIAVlTo/lCQwseiri6Bly69SpHImWlps3i8MJKjz53rwQOTKlUj\nL116lbFJo/hKbib7x8cz6foMorCpif8pLOTwpCT2C4vhP79LYUW7d0wiiWdGxgKKRE4sKtrYYsLq\nDrHusWwu6lrZuSsFv1IpZW7uS4yN9WRh4X+0pogkWVwsKL83ZoT7L+6ny9cu/Dzqc6rUglQ6teUU\nQ0xDePmNy1RUKzh3Lvn++4LN/coVwUrSlQIhiZcwxjmGH0z+gF+JvmpzTy4nbWzIqirtfJs2baK3\ntzdPnTpFjYbs31/KyMi2C7xZT2Ux7109dg4oFKSPDzlokLBa3AH5+fns7+3Nry0tqdmwgZrVq1nn\nZ86aygj+LTubSzMz20yhL71+ieJV4q7rb8fgwWRKStfpOmP8eHLv3nK6u7szMjKyW3mja2tpNULK\n0NCetYEkz9bU0FUk4jcFBb/3zdtvkx9/rDP9xIceYmhvC/7j6EsM/D6QtU26d7R1xphtYxieF06S\n/Prrr/nyyy/fdPt7RHp6yy6JxMREDho0iGvj1nLk5pFsUDTwh5Qf6PK1S0tbSfILsZivX7qkVVSZ\ntIzjfxjPxw8+3mW11dW/MT7+XhYW/qfLtCpVE4uLt/DlmJe5NPZz1tb2zM6o0WiYlfU0MzLmcU9Z\nKT1jY9u8ExqNhr+8msolISl0jInhNwUFWrMMmSyT584FMTV1Cpuaruldt1qpZmSvSKqVXX8w7jrB\nX1NzlvHx/ZmdvZwKRecvlYcHmZdH/iv8Xxzw7QAmFiW23JNXyhnbL5ZzzedSLpezqYm0tWUbDXHw\nYDI5ufP2KJVKhlqH8kjfIzrtjrNmkfv3a+cLCAhgVFRUy9/Ll5MnTwoLvCRZl1DHWI9YKuu7sBtq\nNOSyZYKaffp0h8ny8/PZr18/rn/sMXLpUpKkrP4i64eZccvhwxyamEhZOzW9MqSSqZNTO69fB88/\nT65b1+1sbXjnHfKDD8hjx47R19e3W/byd1Ov0cxKrcvKdVOIm5oYkJzMf14RzAoMCtK5it3U1EQr\nKyvWTZ1Kzf79fPXEqwzaGkSZXP+pv1QupdUqKzYqhFneww8/3OPtoDeNRiNs971yhR999BHfeust\najQaPnHwCT5x8AlqNBqevXqWLl+7cFfaLpLktAsXeKQD5aNZ2Uz71fYslXa9VtHUJGZcnDdLSrbp\n1dQFGencdOkIRSIXlpXt0v8ZdaBWy5mSMoFXrrzFAQkJTKmvb3M/YWACpRlSZstknJGWxkEJCTzV\nbmqpVispFn9JkciJ5eU6BIAOmoubKXIV6ZX2rhL8NTVnGBvrxqqq43qlnzeP3LGriXZf2rFMWtZy\nXS1XM2VCCq/88wrHjh3L48eP8+RJYaG1Nf/4R4eKXQsR+RH8fOznjDSLpFKiLaTXrSOffbbttcLC\nQjo6OlLZatvZ7t3kpk1PsKRkGzVqDc8FnWPpDj0W8955R7An2diwo5VksVjMfv368dtvvxUM8Lt3\nkyQLCr7hifVL6RwaylwdixnKOiWjrKKoauye3Wb3bqHve0JICDl5sqBh+fr6MrmrL3Arhq8W84Fp\nuk1dN0tJczPtY2LYJJGQVlY6104iIyM5atQocv16csUKajQaztg1g9tTtutdT9jlME74cQJJttj3\ny8vLb9VjdJ9ly8hNm/jAAw/wzJkzJMkGRQOHbxrOXzN/JSmYcjz+7cFGpYLW0dGs7mS76WMHHuPW\n81v1qrqh4RJjYz1YVra7y7RecXG80thImewi4+LuoVi8qkeL6wpFFRMSfLki9RA/y89vua6UKhll\nGdWilWs0Gh6vqqJddDTLdJhXJZJ4xsa6UaPp+h2qP1fPZH/9xvnNCP7bG8n4NlJaug3e3u/B0bET\nRzyteOAB4NffriHIKwiu1q4Arru0feUyetn2wr1f3ovFixdj3759OHFC27/Pww8LhzI7Y0/GHjjO\nd4Rxb2PUieq07gcHCz77Wx+yCwkJwaxZs9oEFgkOBuLi7odEch7lu8sBDeD6lGvnlW/dKpy6ff55\nIRKMuW7vie+99x6eeuopvLpiheCK4bo7zKqqMKy8fzm+3bQJA3WcAuxl2wvWI6xRF6v9XJ0xYQIQ\nEyPETL9ZHnxQiGusVhth4cKF+PXXX/XKp9RokB1hgUWzb22EJXdzc/hZWSH11CkhWLMOR3CRkZGC\ny5EZM4CTJ2EEYIX/Cuy5uEfves7mn8WkfpMACKd+vby8ug5OfzuZNg3ykBDk5uZi3LhxAABLU0u8\nPfZt/HDhBwBAoEcgnCyd8EPuaQzo3btNSM32PDLoERzN7SJoxnUsLX0xYsQpXLnyBiSSqA7Tlcjl\naFKrca+FBayshiIgIA6Vlb/i8uVXu/GgbTE1dcTw4SEYWv8tjldXtlxvSG+A1VCrltO6RkZGgnNA\nJyfsq6jQKsfObjTMzDw6bf8N5CVymHnc+ngBN/hLCn6VSorq6hNwcekkMno7Ro0CEhLVWDzk9wAY\nFXsrUB9fj/t+uQ9GJoJQCQkJQUhIM2bNapt/3DggN1cIqqILhVqBg9kHMf3J6dDINag+Ua2VZsgQ\nQKEA8vJ+v3bs2DEtp1pOToBcfj/KS1KR/34+fNb66Iyi9XvlCsEb3f79QFwcMH26zmS1tbU4fvw4\nXnvtNcGfzP33Aw4OUKmkSJbWQGZsjcVyueCMTQcOUx0gOSPpuB068PAQvD1kZnYrWxv69BFcb6Sl\nAYsWLcKBAwf0OqJ+rl4GJPfBwlss+AFgsYsLKsPDOwzzFhUVJQh+X18h/NrFi3jY92GcKzmHMlmZ\nXnVEiCMwqb8g+Fs+JHeS4GAYRUVh2qRJMGvl42L+4PmIK4xDuawcALB02FL8lL4bkzoLXg1gpu9M\nRImj0KBo0Kt6a+th8PFZg2vXvuwwTVJ9PUbZ2rY44zM398DIkVGoqjoMmSy9w3xdYWk5COPtbJDV\nIEWlQgEAkKXKYD1SOwbn4y4u2F1errMcF5clqKjo+uOvKFHA3L1z19c94S8p+CsrD8LefgLMzHR7\nfNTFoOFSVF3tizm+8wEIoQevrboGn3/7oJeNoG17eHjA19cPdXWnMKKdewwzM8HzcAcyEeFXwzHQ\ncSD6u/aH3Rg7nYLfyAiYOlXQ+gFAKpUiNjYW03UI6kGD/KGJsIe5tznsx3XhE/7gQSHe5IgRgvfM\nDgT/rl27MHPmTDg5OQluR6/7nJZIziKs11N41sMTxo8+KpSnA4cpDqgN13ap3RUTJgiTi54wdqzg\n6n/kSCFmbmpqapd59ogaYWNP9O84XOlNs8DJCS7x8ZCPH691r7m5GUlJSRg7dqzwo1/X+nub9sac\ngXOwP3N/l+VLmiXIqcpBkKfgCO5PIfhdXFBsbo6n2jljsjKzwtxBc1tmM0uGLcEFcRjG2XTupM/e\nwh6jPEfhdF4XAbJb4ez8GGSyFDQ2XtJ5P1EqRZBtW7fIvXrZwMPjRRQVfat3Pbq4x+MZBBpnI+y6\nd2FpqhTW/tqCP9jBAfnNzbjS2Kh1z8XlMVRWHoJGo+i0LoPGr4Py8p/h6vpUt/KIKo7Dqk8dysVC\nEIbq0GoYmxnDIbitz3lv78VwcNinMwDLrFkdm3v2XNyDpcME97uuT7tCXiiHSqrSSnfD3AMI8VUf\nfPBB2LTzjAkAU6ZYQ717KVxeVnf9cN9+C7z2mqBWm5trRXgCBLPW1q1b8fe//12wuxw/3iL4xZXh\nOKsajr+5uQHz5gkP2dysVYbtaFs05jZCWavsuk2tuJWC38hIf3PPqTBgbLD2b3ArcFOp4JeXh9M6\nPNIlJSVhyJAhQgB4QPBqel1jeHz443qZe6KvRWO012iY9zKHSqWCSCTCQw9px2X+I1Gr1TjW1ISJ\nCm2htWzEMuxM3wkA8LD1htrCA6rac12W2R1zDwCYmFjA3f3vKC7epPN+Yn09Rul4nzw8nkdV1UEo\nFFV619UeR8eHEUQRjpbnA7iu8esQ/L2MjbHYxQW7dZgHLCy8YWU1BDU1nX/sFKUKmHv8D2j8J0+e\nxODBg+Hr64s1a9bcdDnNzYWQydLg6Di7W/n2Ze7DiAA5kpMFIVjwZQG83/HWCnJSXv4oSktPoKmp\nSauMmTOB06eFSFStaVI2ISQ3BIuGLgIAOD0izERqwrXjDkydKri2V6kEM8+cDiK9DFVKoKy3RePI\njM4fLDlZiLg1Z87v2r6Or1ZycjIaGhowadIkIeC3nR3g6wuS2Fstw2Q7K7iZmwvBgkeM+P3r1Apj\nc2PYPmgLSUT3zD0TJgDR0W3XNrrLDcFP6mfuUZPIi7LEskd6HvBaJ/HxkAwbhj0N2mYKLe180iRh\nkUImw5T+U5BXk4ertVc7LT4iPwKT+00G8Cex7wNITEzERQ8P2CYkaN2b2G8iymXlyKzIRLJUCg+v\nGQjN6frjPHfQXIReDoVao4eCcx0PjxdQXr4TKpWszXX1dQ+so2y1A6GYmTnDyWkeSku36l1Pe4yN\nTTHXdSDOSKSQy1VozG6E9QhtwQ8AT7i44Jfycp1jVB9zj7xEDjP3v7jGr1ar8corr+DkyZPIysrC\nnj17kJ2dfVNllZf/AmfnhTAx0T+mZb28HhHiCMyd5I7kZKBOVAdFhQLOj7Z1YyuVAhcuuGLUqECc\n0KHae3gA/foJYWRbE3o5FIEegXCzdgMAmNqbwuIeC1Ts1P7iu7kJfv4TE9U4ceJEh4K/dH0hCsfU\n40peF1rThg3AK68IYcauC/7WvrpvsG3bNqxYsULw/x4S0qLtNzRk4qh6El70aqW5LlzYubnnTPfM\nPd7egKUloCMMg974+AiREgsKgICAAKjVaqSlpXWYPuqaDBRbYu7kngt+Xf2JqCjYTp6ME9XVaFSr\ntdK3EfzW1sIiU0QETE1MsXDIQuy9uLfTOs+Kz/657PsAwsLC4DJ/PpCVJbj2boWJsQmeHPEkdqbv\nRERtLWYNXoBjucfQpNRWoFr35z3298DL1gtxhXF6t8PCwhv29hNQXr6zzfWcxka4mJrCsYMFZU/P\n11FSsgkaTfdmrK3x83oSbijEmYxiWPSzgIml7vWjIFtbqEmcl0q17jk7L0J1dSjUam1T0A0UJYq/\nvqknKSkJAwYMQL9+/WBqaoolS5bgaGfRUTqA5E2ZeY7mHMWEeyZgwlhLJCUBBasL4P22N4xM2mrG\n4eHAmDHA448/hn379uksa9YsIDS07bW9F/e2mHlu4DjbEXUxunfABAcDP/5YBC8vL3h7a/vOb8hq\ngPScFGaz70FDw/mOH6ysTBDizzwDNDYKX6TJk7UElUwmw4EDB7B8+XLhQkiIEB0KwJmSaMiN+2Bq\n6zikCxYIaZTaL4jD1O4LfqDn5h4jI0HrF4n0M/fsO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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What about $f(x)=10x$? or larger numbers?\n", "\n", "$f(x)=x^2$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import syde556\n", "a = syde556.Ensemble(neurons=50, dimensions=1)\n", "\n", "x = numpy.linspace(-1, 1, 100)\n", "ideal = x**2\n", "d = a.compute_decoder(x, ideal, noise=0.2)\n", "A, xhat = a.simulate_rate(x, d)\n", "print 'RMSE:', sqrt(mean((ideal-xhat)**2))\n", "subplot(2,1,1)\n", "plot(x, ideal, color='k')\n", "plot(x, xhat, color='b')\n", "subplot(2,1,2)\n", "plot(x, A)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "RMSE: 0.0408841434153\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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NkIuGSNWmUSMYO1af/ftbk5/vzPr1p9HSCubNN3fTtGke3btnsWuX0jUg1bzU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\nnnB1dcX16y3vXP6n0lJf+vn5wcjICG5ubnBzc8MXX3zxF7Tyf4N//etfs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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Other exponents? \n", " - $f(x)=x^3$\n", " - $f(x)=x^4$\n", " - $f(x)=x^5$\n", " - $f(x)=x^0$\n", " \n", "- Polynomials?\n", " - If it's fairly good at $f(x)=2x$ and fairly good at $f(x)=x^2$, what happens with $f(x)=x^2+2x$?\n", "\n", "- Other functions?\n", "\n", "$f(x)=e^{- (x-b)^2/(2c^2)}$\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import syde556\n", "a = syde556.Ensemble(neurons=100, dimensions=1)\n", "\n", "x = numpy.linspace(-1, 1, 100)\n", "\n", "c = 0.5\n", "b = 0\n", "ideal = exp(-(x-b)**2/(2*c**2))\n", "d = a.compute_decoder(x, ideal, noise=0.2)\n", "A, xhat = a.simulate_rate(x, d)\n", "print 'RMSE:', sqrt(mean((ideal-xhat)**2))\n", "subplot(2,1,1)\n", "plot(x, ideal, color='k')\n", "plot(x, xhat, color='b')\n", "subplot(2,1,2)\n", "plot(x, A)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "RMSE: 0.0292945716158\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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u3NN0WNILUGtZg8eys7M5cuQIAwYMePEIJbVSKpWMHbuKAQPqUrPmj3z/vSWXLimQi46l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\ngQK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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What about different values of $c$?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Decoder Calculation\n", "\n", "- What are decoders good at?\n", "- How do we compute decoders?\n", " - Here's the simple noise-free case:\n", " - $\\Gamma=A^T A$ and $\\Upsilon=A^T f(x)$\n", " - $ d = \\Gamma^{-1} \\Upsilon $ \n", "- Consider the $\\Gamma$ matrix\n", " - This is known as a Gram matrix\n", " - Measure of similarity of neural responses (correlation matrix)\n", " - Tells us about the representation of the vector space by the neurons\n", "- Stepping through the decoder calculation:\n", " - ideally, $X = A d$\n", " - $A^T X = A^T A d$\n", " - $(A^T A)^{-1} A^T X = d$\n", "- In this ideal case, how do we take the inverse correctly?\n", " - This is likely to be a singular matrix (lots of neurons have similar tuning curves)\n", " - Less of an issue normally, since we take noise into account and add onto the diagonal\n", " - Instead, let's do SVD to decompose and approximately invert the matrix\n", "- Singular Value Decomposition\n", " - In general, $B_{M,N}=U_{M,M} S_{M,N} V^T_{N,N}$ where $S$ is a diagonal matrix of singular values\n", " - But here, $\\Gamma$ is square and symmetric, so $\\Gamma=U S U^T$ and the inverse of $\\Gamma$ can be written as $U S^{-1} U^T$\n", " - When $\\Gamma$ in singular (or nearly so), then some elements of the diagonal of $S$ are zero (or very small), so the inverse has values that are infinite (or very large)\n", " - The \"Pseudo-inverse\" is to say if $S_i=0$, then $S^{-1}_i=0$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Usefulness of SVD\n", "- Regardless of the function we want to decode, we always invert the same $\\Gamma$ matrix\n", " - identity decoder is just the special case $f(x)=x$\n", " - Understanding properties of $\\Gamma$ can provide insight into all possible decodings from the populations's activity $A$\n", "- The singular values $S$ tell us the importance of a particular $U$ vector, including\n", " - the error if that $U$ vector was left out of the mapping\n", " - relative to the variance of the population firing \n", " - the amount of independent information about the population firing that could be extracted if we were only looking at the data projected onto that $U$ vector.\n", " - In general, we can think of the magnitude of the singular value as telling us how relevant that $U$ vector is to the identity of the matrix we have decomposed\n", " - Since the matrix we have decomposed is like the correlation matrix of the neuron tuning curves, the large singular values are the most important for accounting for the structure of those correlations\n", "- The vectors in $U$ are orthogonal\n", " - they are an ordered, orthogonal basis\n", " - The original $\\Gamma$ matrix was generated by a non-ordered, non-orthogonal basis: the neuron tuning curves\n", "- Consider the neural activity for a particular $x$ value\n", " - A row of the $A$ matrix\n", " - The \"activity space\" of the neurons\n", " - Because the neural responses are non-independently driven by some variable $x$, only a small part of the subspace of possible neural activity values is ever reached by the population\n", " - the $\\Gamma$ matrix, because it tells us the correlations between all neurons in the population, provides the information needed to determine that subspace\n", " - That subspace is $U$\n", "- So what?\n", " - So, let's rotate our neural activity curves $A$ into this subspace and see what they look like.\n", " - $\\chi = A U$\n", " - These will be the orthogonal functions we can decode, ordered by accuracy\n", " " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import syde556\n", "a = syde556.Ensemble(neurons=300, dimensions=1, seed=0)\n", "\n", "x = numpy.linspace(-1, 1, 100)\n", "ideal = x\n", "d = a.compute_decoder(x, ideal, noise=0.2)\n", "A, xhat = a.simulate_rate(x, d)\n", "\n", "Gamma = numpy.dot(A.T, A)\n", "U,S,V = numpy.linalg.svd(Gamma)\n", "\n", "chi = numpy.dot(A, U)\n", "\n", "for i in range(5):\n", " plot(x, chi[:,i], label='$\\chi_%d$=%1.3g'%(i, S[i]), linewidth=3)\n", "legend(loc='best', bbox_to_anchor=(1,1)) \n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HDxMbG0vfvn11Zf7+/lhYWPD555+TmZmJWq3m3LlznDhReL8qSZIKrXFQKpX0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\ncVMFAOnpcPAgHDqk7g4r7+Cbezfo4wPBwdV33zXvxHv2VF3jRmN1l3n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"text": [ "" ] } ], "prompt_number": 95 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Does anybody recognize those functions?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(1,2,1)\n", "for i in range(5):\n", " plot(x, chi[:,i], linewidth=3)\n", "\n", "subplot(1,2,2)\n", "for i in range(5):\n", " plot(x, numpy.polynomial.legendre.legval(x, numpy.eye(5)[i]))\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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S/cLGF7gr5C5GBNWexrlJ0Oulld2YMXU2OXOlrrDqivLWZlouMghashL4+29r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"text": [ "" ] } ], "prompt_number": 97 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The [Legendre polynomials](http://en.wikipedia.org/wiki/Legendre_polynomials)\n", " - Or at least scaled version thereof\n", "- So we should be able to approximate any function that can be approximated by polynomials \n", "- But remember that they are ordered by their singular values\n", "- See how quickly the singular values drop off:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(S)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- If you need higher and higher polynomials, you need many more neurons" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modifying that basis\n", "\n", "- Are we stuck with this?\n", "- What can we do to modify these bases functions?\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import syde556\n", "a = syde556.Ensemble(neurons=100, dimensions=1, seed=0, \n", " intercept=(-0.3, 0.3))\n", "\n", "x = numpy.linspace(-1, 1, 100)\n", "ideal = x\n", "d = a.compute_decoder(x, ideal, noise=0.2)\n", "A, xhat = a.simulate_rate(x, d)\n", "\n", "Gamma = numpy.dot(A.T, A)\n", "U,S,V = numpy.linalg.svd(Gamma)\n", "\n", "chi = numpy.dot(A, U)\n", "\n", "figure()\n", "plot(x, A)\n", "\n", "figure()\n", "for i in range(6):\n", " plot(x, chi[:,i], label='$\\chi_%d$=%1.3g'%(i, S[i]), linewidth=3)\n", "legend(loc='best', bbox_to_anchor=(1,1)) \n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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nWfHggRmJiVeQJIndMTGo1GqO5afNuLi4YGlpydIlS/msz2COny7NpO0fcPY1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OQzNCGbx8MOfONyY74iHvtbQI3ryZvOBg3mnrMNGoOZLNSUw+GkVInZMc1jqA587JRBTmITqS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\n+2146jx0WBREnFyc5Wn14IoIznlUOWvIMv2ytuDnmDz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6muiiIqKysog+fJjoX37BI/PUiqxdoqJkY6BPH0hKkqVPH7m3olDgsDiw19mx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\nEJcgF52D//PWz7Nj4A429t0oB38h8mBmBpMnw+nT0LZtdvzsWfX3ceM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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What about other distributions of intercepts?\n", "- Changing these distributions also affects how much it gets better with more neurons\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Note that the accuracy curves are for $f(x)=x$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Higher dimensions\n", "\n", "- Does this apply to vectors as well as scalars?\n", " - Of course\n", " - Same math, even\n", " - Just a little harder to plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import syde556\n", "a = syde556.Ensemble(neurons=300, dimensions=2, seed=0)\n", "\n", "x0 = numpy.linspace(-1,1,50)\n", "x1 = numpy.linspace(-1,1,50)\n", "\n", "x0, x1 = numpy.array(meshgrid(x0,x1))\n", "x = numpy.array([numpy.ravel(x0), numpy.ravel(x1)])\n", "\n", "d = a.compute_decoder(x, x, noise=0.2)\n", "A, xhat = a.simulate_rate(x, d)\n", "\n", "Gamma = numpy.dot(A.T, A)\n", "U,S,V = numpy.linalg.svd(Gamma)\n", "\n", "chi = numpy.dot(A, U)\n", "\n", "index = 0\n", "basis = chi[:,index]\n", "basis.shape = 50,50\n", "\n", "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "fig = pylab.figure()\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "p = ax.plot_surface(x0, x1, basis, linewidth=0, cstride=1, rstride=1, cmap=pylab.cm.jet)\n", "pylab.title('Basis #%d (sv=%1.4g)'%(index, S[index]))\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FafZjOBymra2NH/zgByiKQrFYZNOmTTz99NPU1dUd9b3W1lY+85nPsG3btnKy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\nb7/9Nu7du4eXX34ZixcvRkhIC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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Again, we get the polynomials\n", "- In general, we get cross-terms in the computable functions\n", "- For the 2D case:\n", " - $f(x)=a_0 + a_1 x_0 + a_2 x_1 + a_3 x_0^2 + a_4 x_1^2 + a_5 x_0 x_1 + ...$\n", " \n", "\n", "\n", "- The grey line is constant for as many terms as should be at about the same accuracy level\n", "- In higher dimensions, higher order functions are even harder\n", "\n", "- This is all also going to be affected by distributions of encoders (as well as distributions of intercepts and maximum rates)\n", "- Given a function, can we automatically find good choices for tuning curves?\n", " - In general, this is a difficult problem\n", " - Indeed, we can cast this as exactly the standard multi-layer neural network learning problem\n", " - But analyzing it this way gives us hints\n", "- General techniques\n", " - If your function has a big zero area, see if you can get the tuning curves to also be zero in that area\n", " - Smooth, broad functions are best\n", " - For the special case of $f(x)=x_0 x_1$, arrange your encoders at $[1,1], [1,-1], [-1,-1], [-1, 1]$\n", " " ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }