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@jonathan-taylor
Created September 24, 2015 02:48
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Langevin stochastic gradient
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{
"cells": [
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"import numpy as np\n",
"%pylab inline\n",
"\n",
"# here are the functions we will sum\n",
"\n",
"class quadratic(object):\n",
" \n",
" def __init__(self, a, b):\n",
" self.a, self.b = a, b\n",
" \n",
" # this is the gradient obviously\n",
" \n",
" def __call__(self, x):\n",
" a, b = self.a, self.b\n",
" return (a*x - b) * a\n",
" \n",
"n = 10\n",
"p = 5\n",
"\n",
"funcs = [quadratic(np.random.standard_normal(p), np.random.standard_normal(p)) for _ in range(n)]\n",
"\n",
"def target(x, funcs=funcs):\n",
" return np.sum([func(x) for func in funcs])"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([-0.0775066 , -0.22970218, 0.15554266, 0.00679132, -0.00395266]),\n",
" array([-0.07564387, -0.23413532, 0.15418011, 0.00612049, -0.009165 ]))"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def langevin_step(x, alpha, funcs):\n",
" p = x.shape[0]\n",
" avg_func = np.mean([func(x) for func in funcs], 0)\n",
" return x + alpha * avg_func + np.sqrt(alpha) * np.random.standard_normal(p)\n",
"\n",
"def jump_langevin_step(x, alpha, funcs):\n",
" grads = np.array([func(x) for func in funcs])\n",
" poisson_noise = np.random.poisson(1./n, size=(n,))\n",
" grad = np.sum(poisson_noise[:,None] * grads, 0)\n",
" return x + alpha * grad + np.sqrt(alpha) * np.random.standard_normal(p)\n",
"\n",
"def both_step(x, y, alpha, funcs):\n",
" grad_x = np.array([func(x) for func in funcs])\n",
" grad_y = np.array([func(y) for func in funcs])\n",
" avg_grad_x = np.mean(grad_x, 0)\n",
" poisson_noise = np.random.poisson(1./n, size=(n,))\n",
" grad_y = np.sum(poisson_noise[:,None] * grad_y, 0)\n",
" Z = np.random.standard_normal(p)\n",
" return (x + alpha * avg_grad_x + np.sqrt(2 * alpha) * Z,\n",
" y + alpha * grad_y + np.sqrt(2 * alpha) * Z)\n",
" \n",
"langevin_step(np.zeros(p), 0.01, funcs)\n",
"jump_langevin_step(np.zeros(p), 0.01, funcs)\n",
"both_step(np.zeros(p), np.zeros(p), 0.01, funcs)"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X = [np.zeros(p)]\n",
"Y = [np.zeros(p)]\n",
"T = 10000\n",
"for _ in range(150*T):\n",
" x, y = both_step(X[-1], Y[-1], T**(-1.25) / 50, funcs)\n",
" X.append(x); Y.append(y)"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x132126450>]"
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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kucY0qvqvtImIiAhWTdi8Z5G2XPcPAEC7FU10NXJ/8yyMm7tF61nr85F+H9Ks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\nERE5HAM2IiIiIodjwEZERETkcP8Ph1nftuVhdQwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1321a6710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X = np.array(X)\n",
"Y = np.array(Y)\n",
"plt.figure(figsize=(10,10))\n",
"plt.plot(X[:,0])\n",
"plt.plot(Y[:,0])"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x13174ae10>]"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wAbe9pq4CSfkUFIqIJFuQlIDEFCB28OclI1zzf0c4ZyhXxmHz1o76SroTSOxX\ndxkaZKlbhr/QhIPCYTXP0jIKCkVEkh2aIs1piB7m6+8BvD7mnGH3YCPxbhfIFSU85/HI3GwcmxWV\nX0P8rKoLkfhIxO4XxSS/Bv1t/EpnhmvQG6bovaFDq0PbUXMkS0spKBQRKcY/xOx/0Cx6nLnQXLLh\n9mQG4HQAzyigbIEtEo7/OENef0ZvfEMAAIlXklh3pFI1x+UVXuvf/A0SuwM4KyqhGe4zw99VUqr+\n6y40w59DuzcKbR9WVXmkfAoKRUTKlXbomHC6TdyyyPaI+w85dgmAM5IyIDGNnKg5fbrbRwALAfw8\ndwnrdWuN174Sg1PeNdEn6i6AlEdBoYiMvZgBnUEW8pAO16yEzQouF9ofzHNcZFAYHo7mL9562gGx\nPwvgHLcelDk4b9fRi9YITRoSRqRyCgpFROKHYiniHpnU7m5iWByyrxxVtNebgcmfcS3SDUlzs7fO\nmGVbLau7ACJ1UlAoIhLfa3iUIOfs0PbdCelXeuuvjDi+wQhlSOsCr11j2ppCv7wbumXwqrvtz5Tr\n6i6ASJ1y/wGTnEvyZpJLSZ4Qk+ZUd/x6knOSziW5KcmFJJeQvJTkdG//5SQfIvnV0DV2IXmjy+sr\neX8uERkLwQwkH4o5/oM0mYRePx8ZOhzurRlXBgB4ZsTxxyP2RXZcGYE/xd/BAN4Xl5DE3SQM/YHy\nNLcMajvbXlP41youQhY+k45IIXIFhSSnojcMw1wAOwGYR3LHUJoDAGxrZrMBHINeb7qkc08EsNDM\ntgNwmdsGejfHjwH4YERxTgdwtLvObJJz8/xsIjIWghquj8Ucf22wQg7tuXugtx5uA5j0SvYhAL91\n69NIHBE6HtWmsKi2b9eGtvcdkjboBf0jb18Q3GxeUHnqVlVQ+9lhB83aFVyTE18OpOXy1hTuDmCZ\nmS03s1XoNT4+OJTmILhu9mZ2JYDpJGcknDtxjlse4s5/1Mx+jf6JukFyCwAbmdlVbtfZwTkiIgUZ\nNufr1sGKex17inds6H3WDGvN8BK3uQ6AM0NJooLKqNrDUfyxoHzuKyifulUVjCV1PmqLXdzyX2ot\nhRQmb1C4FYDbvO3b3b40abYccu7mZha0W1mJwW+h4W/OW7nzAysiyiEiY4LELPeqM607UqR5w5Bj\n4S+hv/LWs9xnowLAqH3DypKa2UgzrUSZaGcY15O7JapqEzm9ouuULaigmVlrKaQwef8A0t5009wk\nGJWfmVmVZRHKAAAgAElEQVSG64iIAMBJGdPnrXnbKbTtt9XLcp+NmhFlCjAQbN0Tsa9OfjnK7BhT\ntqp+n3Ez3LRN8GzeudZSSGGibkBZrID32sSt356QZqZLMy1i/wq3vpLkDDO7y70aTuq9twL931T8\nvPqQXOBtLjKzRQl5i0j7vAMASOxvlmrqsjtzXm+90Lbf5q+omsIpEfumIrkjSxX8YGoXAL+sqyA5\nDQSFJHYzw+/qKEwLBEHhWM+ZXSSS+2J4295S5Q0Kr0avU8cs9F6/HApgXijNBQDmAziH5J4A7jez\nlSTvG3LuBQCOQK9dzhEAzg/l2feHa2Z3knyQ5B4ArgJwOIBTowpsZguy/pAi0lqXkXiGGe5NSHd/\nmsxIbGsWOZbdqQD+1dv2r5dlAOyoBvs/IvETAN/z9jUmKCTxWvTXFP0C7e2FHBXAX4X2/jxluBuT\nveT1Fq9grqJqUbBNMutbj1xyvT42s9XoBXyXALgJwLlmtpjksSSPdWkuBPAnksvQm0LpuGHnuqxP\nBvAqkkvQm5bp5OCaJJcD+AKAd5C8jeQO7tBxAL4JYCl6HVguzvOzichYCc/vGieug0DfUCahuY6/\nkKEc20XsmwPg4+gfNPpJtxwYX5HE78nRX+GSmTtBXAjgc6Ner2GqGDC87S7x1hUUdgx7TfbGA0kz\nM33jE+m4UCeTzcyie8d66U43631hHZIPALzYbHCAYxKfB3A8MDmciHfudWZ4ccYyD7OfGRa59J8x\nw0ci8jnJDJ9MuoY/9Il3bFOzvrETs5avdUOqBOJ+RjOQxGkA3lPEz5b0u2zy788NmXSm29wergd7\nk8vcZlXHLW0ffb7RSGzWoIbgIuIh+9oBDrxezvi3G1UzF4x9uEfKPH6RJpHZ5KslAO+JSfamFFk9\nP2Z/eJxE6Yn7XY8bf8YezRXdMQoKy3UPcoyXSOKpJGYVVxyRsRRXK+PPPBLVMSIqKIwLFG8duKjh\n38xAM6xKKF9gTcp0vqf5G96r37iA7+de+f4vJs2XSJwxQln8chye53xpLm9aRECvjztHQWH5npGc\nJNZpiHjYiEgmcQ8u/2/z0ojjUffHuHtm3k57w/LOItwLOizooHLb0FS92afyCM//LN2zPyb/th6s\nsyBSnCJuZDLcQEPwDDYtrBQiEnZVwvGoIO13iK4tDO6liyOOpZUU0KWR9Dov+Jm2HppKZLg16DV3\nCHrWP21IWmkR1RSW70s5zj2osFKIjK8XxOzv+8JGTszjG3gCMUhMI3uBoOvpGwzRcdeohQSw5wjn\nXB7afl1C+qR5mCOReOEo50lmBwJ4f92FSGKGdcywxgyP1F0WKZaCwoq4Tif6fYtU720x+8PDqGQZ\nxuVJYKKt4H8CeK9b3zZDHkV4LLR9VmSqSUFQeGHEsWFD5xyVukTdsTK0/cMC844cW9IMF5rhywVe\nRyQTBSklIQfma74HGBzyImVeaswrMrp3xuwPzz+794j5h2d1qlLWmr9d3TJqMO8PDzlvHHskhwO3\nUToCxVGvXWkkBYXliZqZ4KuVl0JE4oTvf6MOOVJksJDVa0Y877fhHQm9pKNmcem6if9XEjtj9C8N\nUTRUmTSSgsLyhF/r5OLaMGnScZHibBLaTjWbBTkw7mCdQSFIvJqMnkqPxEYk5nu7lrjl0oyX2WWk\nwrXX7gBe7W3/H4AtAIAs5PVuuNIgaRpGkUqo93F5IgNuEjuY9U1XFYkc6LUcTGulb5giQ+QYMD5t\nZ4rwGH7+a8aLRrx2HsG0Y1E/92UAdkNveCsAmAFgO7PMQeG4OBPAL8zwOwBg9CfplSVc9xKM1tGo\nCdZCFUydof/I8rzeLX8a2v/vKc9P9c3cdWCJelUtMq72Kzi/u9Hfpi7cxtcfOirPaANl2C1YIbEv\nekOH6L4fbwrqae/3dvSmjGuj4wB8o+5CSDF0cyjPTLc8kOx7LZX2gZW2c8k9SO5xKDJO9smbAYmj\nvc3zMDllHTD4hiX4AneeGRbmvXaJguFr9LYh3r6o/g3aUjOsNau3GUIOazDiUEfSPAoKy/MJbz08\n/lkaWb6tjjyVnkgHHRq1k8TLM+TxvmDFDO8FMNs79rwRy1UpMnZWkUw1YSReVEBx2mIbIHGKvqKD\n6vcmJ2k0BYUdoqCwGstHOCfLMDRZxlcT6brw1JLBLCOLvLmBAeDdABbF5DHKeINvGeGcrN6UcNzv\nQRwX3GTtSTw3Zv8fMubTFkk1hTMTjmd1bcH5VW0NFEt0hv4jmytyFgaNWSiS6JLQ9te89a1IvJPE\nv6FXYxYXIIW/aF1fVOGGODEpgdloAyiTON7Lo4g2c89G/EwxwTXb+pr6Zd76TAD3h44XPaXb4wXn\nV7W1UE1hZygobK7E8ccUIIpECs/WsaO3vhi9RvEfAfASpK+Rn1dAuUbxL0OORQ17Fdfp7PMpr/f9\nYMUL6gaGwjLD8hTB5b4pr9lkT6D8IYfaPpC1Xh93iILC5vpzhrRNbtwuUrWgZucet3wPGVm7cyT6\nH8iXDskzcRipgu3vlsPKVHizETMc5m0GQeHsqLQprJezOE2wFsDTS8j3i5iswVZQKI2hoLAGJCzF\nPMhRc5PGWZTimhtmyE+kzYKHrF9DeGRMWr+m8NUxaWAWXaPo/o6LnBM3cBeAlwK98fLSILFTwWUI\n7lHhwbrDnojZ36pAgcS6EbvLqiWkl3cXgkLFEh2h/8gSpOzluE3C8YPdMk3P5aE3XxJzATzkt/Eh\n8Q5yYEYHkS4IHrb+oNJx97q8D+RbCsgjbDMzLDbDFXHBaIxTCrr+LW4Z7rATZ6KMZn3tCBs7OQKJ\nmyK+mEfNaFNWu8guBYVqU9ghCgrLkWYswlsTjr8HwF/N8GiKvJK+zQZzur7N2/dtjOck99J9wUPW\nD6jivoT1BV3k0EAmqlPKrHAeOWwNAGa4b8Tzi3pde6Bb3hHaf27GfN6WnKQ2O8ILZNz/+wq3+d9e\nurKekV0KCnfAZCWGtJyCwnL8k1vmHeV907gDZN83s6Rv5K9zy/BroKbNviBShCBI82t53hiTNvxA\njp3qziy2bV1RQ9HcmXA8PPVl2KsKKkdckHKcW/5faL+FjgeShs+phVdD6H8+/PvpLd56WQHbiwFs\nXPI1qpJ7sHhpDgWF5dgYAMxwTGj//hFpR+W3f4l67RHlPclJRFovCFL8B/3WCWkD6xdfnNROBvCs\nuINmkb2Ny3BXXBHQm4N9ibfvEwBOQu9Z8vWSy1WUYAxKPyj0n4U/8NbLalO4N4B3AfHtVVvkKwB+\nUXchpBgKCqv1S38jrk1fxPheX4xI5g890fYR8UWKFNS8pGnTFr4HBn97wavTj6TI4/LkJMnMsMYM\nf4k5HFWLuDpiXxHleCjm0Fr0voAe5qVdYIbPmcFaFNxc4ZYkcTGJXdE/NqE/8sMj1RWrtdai92VB\nOkBBYTni2gSFv3XGDSkRrq34gFv687HGjUeWyHU8CdbbciMXSesgt4xtfuGZH9qeR+L36NUWvd8M\nn0mRx1+zFG5EUbX8o3Tk+HiOMpgZHjKL7W0c2C3HNUpDYrr7wh18LqagNx7sgZj8zMAMK731tr/a\nrcJaaD7tzlBQWL53BysZvkmfEbP/ImAikPNfH8elj3NRxvQibRLMfXzP0FST/CDmdei1K5yC9B1I\nSqmx81yLwVlahjk1tH1DsGKGf81RjlQBkhmuznGNMv0NveAvCOKDZjdE8nzHEm8tQrEEia+SeGVN\n5ZEcFBSWw//WFPcqZpjwDSqYjcAfnsavKdxyhGuIdF2qNnihICbopTwF6TsApA0+R2KGXVKOQhBY\nGdoeOh1dBl2oNdsSk4NGP+yWuwKYnvL8HwP4QtGFajnDZKeZwHxoUoVWUlBYjp9768PG+npOyvz+\n1y39/691gYn2R69PmY/I2MgYSIUR6YOgpt1Hr6y7AA1GDH5ZODAqYYyr0f65iou2FsCLSexdd0Ek\nv6bdzLriDd76sAdTqnYYZrjEDQrrT8y+LXq1GlX1SBRpiyLaNx2H9O12w0OxVOWm0PZSt0waAzW1\n0PSArW1/TOKjwSqAT7v1UQZcHnhVOkJZ/Fq1V+TJqyGCL0/PrLUUUggFheX7Xmj7Km89aVyyg/wN\nM9ztbQbtAm8F+sbeyiyit7NImxX1eY6a9myYPxV03bR+7K1/GpNzFKcdoiqNBwrMq06fcsu8M66s\nD2C7nGWZuK4ZfpYzryboQrMCcRQUlswMj6BX4xDMPezPdjL0m6oZfpLiEsEcybsEO0h8MmOg19jp\nqEQqsmfEvhcNSf/hiH2LiilKan7Nnd/ZJWswm1ZrHv4kdifx7xGH/GfeKDWF/4L4gdDTCu7Np+fM\npymiBouXllJQWAEzrHbBYdDOKRgSIU8wFsxG8j63XAMAJLZD78b1vHAx3PGoP9yRh7cRaRIS6wGY\nkfU8s8h2ePOGnPJfEXkcHZWwRHFBYRmveX+bYiga3wMAflNCOdI6EsA/ROx/tbde15fhoGIg3CGo\nrYIvC28msZc/zFmeN1hSD/2H1cAMfwNwIyK+qZI4xK0mDR2xBL1XyMFNbpVbBgNd3+ClXYvJ19hR\nAaAaCEtXxM1xXLQsAVJZPuet+18Co+ZoBvL1Qs7aueJTmBwkug5xgbHfqWSUmsIizHTLrWq6ftGC\noHAFgJ1Dx1R72DIKCuvzfABHAACJXUjs6/YHk7Ffk3D+6QBei15wCUz2UA7G4PqAy/sQ9P6f3+r2\nnxeRV9wg2iJtU1VniLLHJkxkNtHe71von385cvB8s4l7RRrhacuyBsFrUV/QBXgDl5MT7QnDomoS\nqxDUUP5dTdcvWjDn9lURxxQUtoyCwoKRA69thwlmKrkawOVk3/RKce13jgxtBw/BZ5I4CJM1gUEb\nw2Ag2/e75cEReV6XrrginbPfkGPfjDtglthJrCqHAVgQ2ldE278fhrb/X8bz12DIPM4VONRb/2hM\nmuOrKEiEICh8ek3XL1oQdM+KOKYYo2X0H1a84Nt4qrkgyb4bk//qK24i9vDrX///8McA9nLrbyXx\nAICt3fa3Q+f5NQGNnJZKZAThe9pZOfJampykXmb4vhluD+0LgsLPozeN2yh+HNqOux/FWQvgDeTQ\ncVqr8qu6CxDSldfGYcRgTf3MqITSXAoKy5O2B2Dc9EqfiNkf/gYfflXk/xH6Y4yFaw9Wees/iLmW\nSNuEH0p/iUyVziMp0lzrlj8fmqoeD5nhUvRepb4w47l3hLazvpYP7jfbZjyvDNfXXYCQqHms2+wP\nbvmUiGObV1kQyU9BYf3ibta7Ru00m2gzCABfyzCfcrhtx/kAfpnyXJG2SnqVOuzvJ017qBe75eJ0\nxanUJ4Bexzazvo5naYR/L1naIwKTNYvnZjyvDHnbtflfrv8O6BsvViabWbwckwODB7aouCySk4LC\n8hxTwTWyfOPse51thtPMsE/B5RGpW5WzbvivZn9b4XWrEA6mb854/kZuuXXbB8c3w0MADkGvd+3d\nKG6u668WlE/dgrnD98ZgO8m7Ki6L5KSgsCRm+EbdZfCZab5OGQvrh7aTgkS/Bu0zoWNJwczEzBZm\nudouFiHq5/znAvPL2nlltre+lqy1J3KWuY0jmeHHZpiJXnvA8LAro2pKZ6W8bh9yrPHtcqWfgsL6\n/HfC8QOGHLtwyLFhuvLNVCROeEDioV+G3JihgT1Ch09KuNaz0xaqAkH7x+XevjmjZhZuluJ1Xkkr\n3DGlzg4nmQczH+KVWU8gsSGJLSMOPVxAeZpgxZBjrZ0ve1wpKKzPmxKOD7thBA+ytG0CH3LLrD0I\nMyGxHqmBsKVWD4W2r41MFW1VaDtpyJAmPfCCcRP9gatfWkdBnHeHtut8hXxmgXmNMoXgQ4gOnL6T\nsyyNYDbwd+PTFKoto6CwJgnfvK/A8GEUgrk3H3XLjRMuF4xtGDw4Xp+QflSHYnDQW5Eq9dUMmmFh\nhnOfWnBZqhR84bvJ21fEq7vwaAdZBQMalzUf84CIqdX+GpkwWlKtYmGDlpvh/qLyapDwUGx1NhuQ\nESgoLN4ZyD9S/vKEXsVBu6mgoXvSq51L3PKDbhl5YyMnGoePaleXz9OSEoqUJE+N1F6h7Xsj0rwS\nvZmEAExMSdkEwUD4H/b2FRHA/MEs1+80aGtZWVAYca39U5630CxxPuJNAc3pO0T4d19nbbWMQB/s\n4k1B/hkF3pKcZJJZYtuU8GvjHcIJSOwB4MEs143wXrfs6uCs0nxZApitE44P/B2b4TIzXOw2n5vh\nWmW7FQDMJt4eANHTjmWV97VvcH6aMR+LMje0HW4rGidN85qgbWCR7RS7bM+6CyDZKCgsXpagMK7D\nSNFV7uGb3XNCZXgUwAsKvF6T2lrJeMkSxCTNOnRKnoJULOrnLuLvMO/8vHW0JVxv4uLM1FQmze9r\ngVt2ZYq6ss2quwCSjYLCgpCYRuK9yBYU3pLzsi8KVtwrnrix0sJBoT+5/WnotQP8j5xl8RUx96pI\n2cJTRoYlzfcbnjqyTlHt04r4cjnq8CvBPO6fdMsqg8M3eOsXZDgvzX3rT255W4Z8b82QtmvyfqmQ\niikoLAAJQ2+w6lORLSg8w1v3x1c7IuX54YbkQc1GuA1NuDx+x5SZGHzdkgqJ7UID037LLfW5kroE\nn8c0g+YOre1J0b7sAwnHK+NmLNkktPtjdZTF+aJbBmUqdeSDkENHOOft6G+PGScIBrMEuQ8AAIlN\nSFyUtWAiVdLDuzinueW6SB8UTnTlN+urvRs2GKgvfKMN2vJd4e/0Oq0EPTMv9w6/M+W1ovwR6JsV\nJRgiRzWFLUXi5ySOrbscOQQP66j2scEcrcHUkn+LSJNFYT1Ri1BSb9Zh46UOE7431TkkzfFI6Ilt\nhu+YpZrKL7i3jfLzfBUjfgEXqYqCwuJtjvRB0bLQdjBdUNL5wXnh8aGCeVjXApG1HM9zy0u8fVcm\nXGuAqyHcxm0u8g4Fr6sUFLbXPgC+XnchRkFiHfS3lw1bCmCmq1X7NgZnlEgaUD6s059zM9CssJqt\nOoNCor/JTB6jBIVBM5+kocNEaqegsHj7I+XDImKswqCX3H8lnPqOmPODGQzWmg32jjObaMPo91Ac\npbbjj5hsM+SbGlqKVOlYAJcNOX69WW8QYTMcZTbw2V+c8XpNDwrz1oTmEZ72r85nzVQM74mdZbaV\noAZ0lCD3dSOc0xZXJCeRNlBQWI6RHhZekJfUsy1uBPkvuXxiAz337d8f4LfIV2DrhJYiVQq3qQtL\natf2k4zXC/5eHx2aqh5vR409PyOGyaqzpnBjDAmQzSLHo4xN7pZ1/jxN9Ke4A6F259JwCgrLkbcG\n4eqE478HcFzE/nMxObBuWuf6Gzn/gIMawhcOTSVSjlxfRszw24wDNQd/5yfmuW4ZXBu5vOOOFimp\np3eZPoKChslKmFQgyTFFlKGF9OaoRRQUliNvUPiOYQfN8KQZTo/Zf3HUOUOEh1bI82D9qlv+P434\nLzX4l4qvF/yd/7ri67bR4TVff3qBed2L0WoKHyuwDE0zLFhej8RK1+ZXGi73g5vkXJI3k1xK8oSY\nNKe649eTnJN0LslNSS4kuYTkpSSne8c+7NLfTPLV3v5Fbt917t9meX+2NGJq1j6SM9sqB38OT21X\nVDC3QUH5SA1IPKXuMozA/+zeUMH1LLSUeO+o+fr+24vd0D8CQ1ZrkS0ojGp/3TX/N+TYwwCeCeCo\nisoiOeQKAEhORW8olrkAdgIwj+SOoTQHANjWzGajV31+eopzTwSw0My2Q6/h+InunJ3QG4NqJ3fe\nv5MM/jgNwGFmNsf9y9JOJI8DI/bNidiXRZWvfcKTxc/MmgGJZ0bs3m604khDvLvuAuR0WMS+YZ1Q\nMvNeJSooTFb3K8TdghUzXA3gNznyWgu9ZQv7bGj7XyPSZJldRmqS94O9O4BlZrbczFYBOAfAwaE0\nB8H1RDOzKwFMJzkj4dyJc9wymHj+YADfN7NVZrYcvaFZ/Hkt62jQGtU4/Vc58lvfLPU4hUV4KLT9\n5hHyeHbEvvBwH9JwodrBuh/iuZgNdMZabpYrEJB8jq+7ACFn5jjXkO3Z2fmOFhFtLU+KSNbl3ted\nkTco3Ar9bdJux+QAyklpthxy7uZmFoyztxK9sf/gzrk9dM6W3vZZ7tVxnSP5AzleH4cGsc5reyRM\n3O56Kvs9x/Yalp6MDADfHrFP7UfaZ19vfe+6ClGC56F/kPU0skxB2eoAuiJ3112AkDztvlO/Pibx\nVEwOebNDjmu2wcTg38M65JATz3NpoLxBYdrXJmn+gBiVn5lZyuu81cyeh97DbG+SdTZsrnJKp1hm\nWJJiqi6gf1iaA920fXHWjdj3eMQ+PSgrRuJ4cmKA8lH4gVNnXvWY4Q9mmeaqBaLnEo6ze8a8x4X/\n1qgJ94Pveut5gsJUNYUkpgG4FpPtq7s+m0lihQaJlyLdFJRSk7y1OSsAbO1tb43BKdrCaWa6NNMi\n9q9w6ytJzjCzu0hugclvmVF5ucFo7Q63fJjk99C7UX8nXGCSC7zNRWa2aPiPOJJGBIUZDLT/I7Ep\ngL9FfOOLGlriAxh8PdSEh8C4+Tx67W2PHvH8DQssS5s9C9nGHtwmOclY+qm33oT7wZcB/MWtV1FT\neDT6761N+B2UaVe3PHdImm8BAInXmPXNrCUOyX3R/9amUnlrCq8GMJvkLJLrotcJ5IJQmgvgXi+S\n3BPA/e7V8LBzLwBwhFs/AsD53v6/J7kuyWcDmA3gKpJTg97GJKehV8sROY+lmS3w/i2KSkNiPRLm\nAqNRtC0o9AWzqdyH6HlPI3uQkdgH/TW6en1cIRLPd6t5evg1cRDmypnhLxkHNFanqghmfffBKgOi\nyFf/ZrjGDB91m3na+aVtU7h+aNu/Jy7Jcf2mG3YPCl6hn11FQdrIzBb5cUrV188VFJrZagDz0ZtL\n9yYA55rZYpLHkjzWpbkQwJ9ILgNwBtygy3HnuqxPBvAqkkvQmzbuZHfOTQDOc+kvAnCce728PoCL\nSV4P4Dr02ip+I8ePFnRsiWorl0aWoHBYV/46vMlbj3rdEfcAfA36b7Rd/1bcGK6DSBFDsFxXQB7j\nKM8r+3FR5f3gxwA+mJAmHLBlkbb3cfgtS3DOUgBvyHH9ppoB4IVmqb5cqsd+Q+WuzTGzi4D+SdPN\n7IzQ9vy057r9fwXwyphzPg3g06F9j2Cy6roIwbAso944sgSFe6C5wxvMB/De0L7L0RuGZx8Av/D2\nv8ItrwGwCxQUVukFBeUTN32iDHds3QVogSrvBx/A4NzLYUlTiQ6zFgBJ7GCGmxPS+XZyy9kRx1rP\ntV/327A/if426P+ByVld8gTlUqKmBiN1+7xbfibjecGAqKlHzzfDoxHzhDbZXQBghl+G9u/h9gfB\n+fZVFmrMFdWzM6l2RaJp+KVkz6n4em9LOJ5nLNjnojcW7WIAcE2NXhORbljgNw41ZeERDJ701jeu\nsiCSnoLCYr3MLV9caynK5ffgGzbH8cuGHJNi3eetx05Mn4Jqd7Pb3gx/rLsQLfCliq+X9FmOGjEh\ni/NC2y/KWIbO1RSGmeGq0C7FGy2g/6QUSOwVM50dMPkQnoPJqvLITi5dYxbbju12AD+qsixjzv87\n/t8c+fif8e/GppIJZp3uMNBlRXcGfHnEvg8MST8ONYVh4zDdX+spKEznl8BE786wRQDeZYbfY7L9\n3fIKytQUUYNZz4Qa31epqL9jPyhcXlCeIk203C0/XFB+UffBZw1JP45B4Sl1F0CSKShMLy7IeRsm\nu9n/j1tWNe9yHd4B4IfBhlls8HD6kNpVKZb/d5znd75R3oKIhARDXL2v1lL0Os1NMIOZgWa9kS1G\n5c37vgOJZ5Cp206OY1AoLaCgMGRIIPP/Yvavi8mBm28DADM8UHS56kJiBxKbeLumYHC+5Dj/WUKR\nxEPiPeifmjBPUDi7oHxEAm9Br9dprT3bzfC1krL2e9vehPTTIyoolEZSUDio73dCJjZYfhDAvwC9\nwVrNWvkwDYYJiBo7azGAn3vb/4lebWEabR7Euy1OQ3/7zXeS+HIB+UYNXC6SiZsRaTXGoxPTZhnS\nblVaKURyUFA4aMvQdtLk3Zeg5aPTm+Eb7lXK+TFJRp3Ga9Tp1iSfUV/VLffW5xRQDhGg9+WwzqAw\nz/AzZYnqmNJF4aHLpOEUFA6aEdqOrOYnsQ2JXdD7HXZpeIHtARwW2rcxid+ReG0dBZLykFifxJVu\n85FaCyNd9QwAW5HYouLrPgfATLNGjok3DjWnwPgEv52hoHDQ1qHtuJlSfoje/M1T0aGg0AxLzPB9\nDA4uuiuAC2sokpTrrQB2d+vqaCJl+HsAHwJwR5UXNcOtZlhR5TUzKGrA+UZzzQc+GnHohxH7pAEU\nFA7yB11ei/jpeIJgcQq62XZudRGZkHoN2VQknoFeLU5g1GYCIo1ATrzpiZwmtUF+UncBKnRpxL43\nVl4KSUVB4aD/dstH0Pv9hF8nh3Xt9XEgy880bDyua/MWRIpH4vno1VZE3bBF2mqeW/6s1lLIBDNc\nXXcZJD0FhYMec8v73fLUhPSdDArNMk0DFfzOonovSzN92i0fG5qqff4RwFPqLoTU5mBg4rVl3Ya9\nbXmislKIZKCgcNDr3XK3lOk7GRQm+FRoO2g0fV3McakYOdkmlMSvSXzVrU8hcS6A17nDnfjskhNT\nTK4x61yg2xne692yNKljwxfiDph1eoKDKOF5kKWhFBQOOgkAzHBnyvQvR0cerBn8OLQdtEtbAwBm\nvXEbA6Q+ZzX4hLf+UgDzSRwCYH/0BhQOdOWzu45bPq3WUkiSNo7jOqqu/G0V4bN1F0DS0cM6vZ/G\n7N8A4/fHH+5YE4zi7/8e3jEkvZTvfSReTuJEb99/A1gYSnctANQwXEjRgtrqHYamkrqlfq1L4rkk\nFpOZBoWunTcrVtzPen/M/i7TM6AlFBSmNy1YiZgKb6eKy1K3laHtYAor//dydkVlkXiLAHwmIc2G\nbloGPE8AACAASURBVHlg+ACJD5CNaJuVxeF1F0CGyvJ52hW9IP+eDOc0oVNDUq31zVUVpEHGreKk\ntRQUprcOiW+SeBcGx3Pbp44C1cVsYLyx4A/+JV6atgUT4+7vI/bFtolqoCmhpTRTltfHo9xD4uao\nL1LScF3Bzzg/5njaueO7xK8pLHzsSBKvTTElraSgG2h666A3bds/YHA0+qYOkJpX3LR3YUFQeHFZ\nBZHS7emtv7O2Uowu+Js8udZSSJJUNUauhnqPEfL/2wjnZLVOcpKh5iUn6Rz//33kQcxJbEBOvrXz\nXAi9JSiEgsL0/NrA8O/tt1UWpELBzWsKgEPiEnm1guFhbJaWUSgpxVO99TZOdxf8TbZ6HvIxkKX2\n73kj5F9XR5bbvPWhA2eb4b6Sy9JEfk3hxzF6beltAL4Xc+zbZN99TEagoDDaOW4ZbjsXCH9T7OpM\nEE8AWGoGMxvocdzHDDQbeK0yu7yiSYmaNKxHWnPdchxfzbVJllqyPZOTDKh0Kj2P/yzdL+L4o1UV\npKH8oYieBFKP7hH2dAA7Dzm+3oj5iqOgcNC9AM5w61G/n3Uw+KH8RaklqokLBrfLkcWPghXXFlOK\ntyo5SWajPIzrtqVbjtOQJ230lQxpRx1e6H9HPC8P/1nx64jjz3fLReUXpZHe7K1viXyxx44jHpMU\nFBQO2gzA5W79GRHHn4/B4WnUqSLa1731qG/P0kwb1F2AEQR/q5fVWgopBZm6Boio537sP0sHvpiY\n4U9udXE1xWmc8JA0ZcUeehbnpKAw2tcSjq8f2h61KrzrbvXWx7FxdRWCRtdvLTDP7QvMqyqHAYAZ\n/lp3QWTA/xSQx5Ep0xH1DH/iP0vjesF+A+M7VNe/e+sPAXhOSdfRm4KcFBQOWgzgdLd+gFv+JZRm\nkb9hhuXlFqlRvp02oRmWlVkQ6fMjIPfv+2YMGXOTxKEk/jnnNcryr3UXQGIVMbTRx1Omm4J6aov8\nt0qRQaEZjjHrbKfEJP60fo8AAFnKq968PcPHnoLCQVMxWdUdDIT6xlCasfy25zqTHJX1tFIKI2Fr\nAfxXzjymuny+G3P80wBOyXmNwpF4CoDPA7im7rJIpF8A+EDOPNI+q+qqKQSAK9wyHBR+s+qCNJD/\n+ni6W5bRU/iBEvIcKwoKB00EhWYTI+mHG/P/J3oTfP+kwnK11UB1PgmW9C1xrJB9Q3YY8j8Mp6D3\n2Y8b1qWpU1Vthd4DRl9AGsgMa83wJbeZOKZrxIxRQPrA6tOYfMNTth+EtoPB+8NB4XkVlKXp/HvT\nJm45cvxB4pMkzD1L/M/L0aPmKT0KCgf5NYWBqGEuHgLwJgCvLr1E7faCiH37Abip6oJ00I3euqG/\nDecogprC8MMu0NSpqrZ1SwWFzZemZ3DUcyltYBV1vynaRW4ZVykwlcRMb7upfzdV8p+pQZv8PO0K\n3+SWRH/Fg4akyUlB4aBZ6P8j3gjRY1891QxPmmFhJaVqKbO+wCXQqgnu28CNEfmtnNnMQu/mHdc2\ncXsAiJlRoE7BA3i3WkshSc7G5MgOw0S1C2tSB4LguRkehSIwFb3a64CCwv6gMAjwkzp0DhN8Hqag\nP45Rm8KcFBRGm/hgmeFhs4GZOgA9gPK4v+4CdFGB800PPMRCr2g+XNB1irJ33QWQVDZHuoH+ox7s\nic8qsrJJBAhM9HT/jdvnNzG6Ef211qrB7v3fAwDMJiaF+P6Ief0vgB3c+lSk6/ktKSko9JADQ80M\now9feocAAIlPkfgikieUl/psjOiHmB8U7lpRWdI6qO4CSCqvAfDJFOlGvbd+cMTzsvL/Fr4J4HdA\nX+35avR/sVJNITAnYl+aWuMo/vNjCnpvOAKqKcxJQWG/4JvmzKGpJKuL3fJDAN4P90dN9s0XKs2w\nOqbG0b9XPD/ieJ2a9jpb8tkyYl+aZ1VVz7OJN0dm+LYZdo8ohx8IqqYweqirUcf39YPyqeifgelZ\nI+YpjqLqfsHvI01N1u/LLEjHBO1J1nXLoCZAwXcxNklOktqTMfv9G/GsAq9XhKfUXQApVNSc6Wme\nVVW1OzwKwBYJ5VBQ2C8qYB91nnL///mAUN4vGzFPcVRT2G8DADDDr1KkfVHJZemS8OuTx2opRXc9\n4q3n7YEc92DVvUKqsm7EvqFj2pF4OSr6kmmGe2M60AWmAJjhn1JykdogeFUcfIFdjNGHuPLfDJwL\n4Jne9rhOI1gY3ej73Vd3AbrIbCAo3DBYIUsZwHSsmE02cjcbOszDz3JcRvcKqcqDEfuS5rRehMm2\npWcWWZiMbkDvi5XfEbGp43tW6VcAYDbRyXAtRr+n7Bfa9gfU//qIeYqjG32/1YgefkaK5Q/jo89g\n8eJ6YX40xbmqKZS6/Tnn+XV27HgUvb+V/b196lg3+Ko4c1BIYqMUyb6SJU8ZpDaF/YIZHWKZgaRe\nBxSIrtf3VLO+16CS7EuYHJrB93DEvuMAXJsiz6gZaJ4O4IlsRRMZWdZgIVw7XmdQuBa9vyE/gFFQ\nOGgtsvcyv6GMgkg/ffvv92cAW9ddiDH0U8QPmCzxVqE3r2zYwKj+ZjjdDE+i16bnDUPyXBqxbyfo\nXiHVCffmTdKke8dL0ZsG1X8bEvU6fNytQfZ7yqyY/b+J2S8jUE2h1C38qkXSC/dyDMQ+hFybnvMZ\n85I4ov0n0OuANd3b1isaGcW/on+mjzhnZcy3SbOdAMB2AP7m1md4gzWPs3BtaZ42hWEv9TdIbGI2\n8fuXjPTtX+o2K1gh8cIay9FG4fHQAABmeNTb3NYs8qF5esbr+O283pd0AomnZchfxsN9iG7aMDIS\niyJ2H1rkNUb0c6Bv9o6xZoaHgIH5oMuKP5o2jmqrKChMb2KgZTMw5kEr8f4jZv913rrGfswmMij0\nmeGWmP3HZbjOc7MUynmAHDqWm4yfUdqRJXl5xL40HRLKthGAu+suRJOYYYW3+SxkGF81RTt+/9nx\n8Szlkn4KCtNT55J85tZdgA7aCNFjuhXt1SOet0GhpZC2y9qO7LrkJI31VfSPnyf9NgdwUYH5+eMT\nvqLAfMeOgkKH7G+XIIWrarL6cfJOpJtLNq/t0yYkYSRe4DZfRlYStEo7ZH1l2Pc2hsReoe0mv62J\nGhVAivVlb33j2krRMQoKAZBYD8CvE5J9CcBpFRRnXPzBLTXMwOi+A+DDOc5/S8p0SX8bYc9zy7MB\n/C7judJduYJCAHNC25rzerz5TWcOqK0UHaOgsOcZSQnM8GUzvLeKwnTUD0PbQWeIJn/bb7pHgL5O\nJaOcn8aSjPn6/6cviE1VvDsrvJZklzUoDE/ZGD5X947xVud4lJ2loLBHH67yhacQ/JBb/rbqgnQB\nianotcvJ89lNO61j1s4BdT2s1e632f4RwNEZ0h8GYFNvu03Pq8MBfK/uQnScpg8sQZv+yMq0IjmJ\n5HR7aPsW9F4hq83ZaN6P3iDUIweFZrgyZdKie4wWLaiFzlNrKuXLNFSIGR4LjTf3lFCSJo+zS+hL\nSiGGtB1VZU4JxjIoJPFaEifXXY4x8xkAMzA5t/R9AHYGcERtJWq3Ld0y7tvym1FcY/esD9+qawpv\nQ+8Lxp4VX1dGQOKX5EgD1n8qtJ1m2sY6KSgsxqyY/QoKS9Dkb1pluhDo9Tg2wz51F2YcmGE1gJUk\n9gTwF+gPOq8Xu+VOUQfN8F8FXmt5mkQk3hSsFnjtNP4JwC/NUr8Ol3rthV7HgJ/FHP88gCdT5LNd\nYSUqnto7JnssZbpZMfvjniEfitkvKYxlTaFnbxJ7112IMRO8Rvb/oC+soyAtFwzBsNfQVNlcFbHv\nakz2FE/yEbes44Gov+N2Gfal8IOY/CyNImvHqCKEf57jAbythnK0xX8C+GzKtHvE7A+/JTkrZr9k\nMHZBIYn5oV2/qKUgY8oMBuBAM6zydms4geyCdn7PyZnPIm/9ZRHHsww4HKRTLYkkmR61k4ycjSTr\nINZ1DF48L7RdZa/7NroT6e8TS711/1kRDsQXumXT20A32tgFheiNND/MjEpKMcbMVDNYgODGl2uO\nYTPsB+CPbj08aT0w2tRkuilLlOu99bjPSNQz6baIfXE+bDbQqa10ZjgPwIZVX7fFPor009H5867/\nyVsPB4W/cUvdf3IYx6BwKE1gXi8S69ddhpYIxtZcr4C8hjWIT1VT6HoIvtBtalBhifJmbz3qCwgQ\nXXv0+QzXqO3VoVnqcT8lmwe9dX/syr7/azPc6o6rE2kOuYNCknNJ3kxyKckTYtKc6o5fT3JO0rkk\nNyW5kOQSkpeSnO4d+7BLfzPJV3v7dyF5ozv2lbw/l1TiwYh94VkLJFrigOsZ/GTIsbQ1hX67n3fk\nKo101RPeelzwFhUUxgWQUY7PkFba4dJgxayvA5JfUxjUJj67khJ1WK6gkORU9KZ+m4teL8h5JHcM\npTkAwLZmNhvAMQBOT3HuiQAWmtl2AC5z2yC5E4BDXfq5AP6dZHATOR3A0e46s0nOzfOzSSWiXn1u\nUHkp5AQM3guCh/Y+iOjhTOJFJNYnJ9pSPdU7HNcwXMbbmpj1Im1eUr5Sn2fF7PeDwguqKMg4yFtT\nuDuAZWa23MxWATgHwMGhNAfB9QoysysBTCc5I+HciXPc8hC3fjCA75vZKjNbDmAZgD1IbgFgIzML\nek+e7Z2Tltq5VW+Rtx78/tUepGJmMNcBKM4/Rey7Dr0vZpq1QdLya/ziPm+jdlI6csTzpL38oFDP\njYLkDQq3Qn8j4NvdvjRpthxy7uZmFrTtW4nJb39bon9mDD8vf/+KiHIkOcBMvSYrdrq3/g23DM9a\nIPW7D72/r5cg/suT/nYkiV87GNcWdtSH+6rkJJVo+oDajUJiHRJvGPH0L3jrCgoLkjcoTDtie5oH\nRuS0QGZmGa6TxxPJSaRg/ufiIbc8v46CyIDgb+56AJ9D7//nIQBx7XUPr6JQ0mp+UHgMid0j0kQ9\nk9L06m1KB8G76y5Ay+wD4Ec58zgbwMcKKIsg/4wmKwBs7W1vjcE5bsNpZro00yL2B3MQryQ5w8zu\ncq+Ggz+0uLxWuPWovEIWeOv7un8AiunFKdk87K3vXFsp2u2h5CQj+Sh681Lvjt7DnOi9romrkXlu\nzH71yJRAuB3hFhFpooLCZw7L1AwkGzMu4MXoNauQdN6UnCTRZWa4t4B8GoHkvvACk6rlDQqvRq9T\nxyz05rQ9FIODeF4AYD6Ac0juCeB+M1tJ8r4h516A3py4p7jl+d7+75H8Inqvh2cDuMrMjOSDJPdA\nb1aGwwGcGl3kBXl+XimW/yryptpK0W6ljKtp1pttgMSP0QsIp6AXFPq9/xiz7vtxGeWTVgoHhX01\ngCS2AHCY23y9d+gOJAtqtr8+WtEKk6WntKhmdYCZLYLX3p7kSVVeP9frYzNbjV7Adwl6D/VzzWwx\nyWNJHuvSXAjgTySXATgDwHHDznVZnwzgVSSXANjfbcPMbgJwnkt/EYDj3OtluHy/id7o58vM7OI8\nP5uUz3Vu2B+9kehvqbk4rWSGR0u+xIYA1kfvXmGIrymMCwqreEg+CozcLknq893Q9h2YHJNwmbf/\nCiQHe8FzIG4+5ar4nR9Oqa0U7bE4OUkk/w3JWd76iTnKIshfUwgzuwi9AM3fd0ZoOzy1XOy5bv9f\nAbwy5pxPA/h0xP5rADw/dcEHKYisgRkuB3A5ALjBhT5VZ3laZAESXqsVZH/37xb0Hnjrho4F/A5C\n3wDwLrfuNxEoy+8B3FPBdSSfYfMdh03UKprhcRILAbybxK1mkWPRrQ0t6+J3nlQtWLIsbfn/5q1v\nCOAo9OZQ9mmcwpzGeUaTA0Pb10emkiqdjf4aAok3E8DGFV5vY/QeuNt6+14EACSe/v/bu/NwSar6\n/uPv7ywQEGQ17IICI0xQIxgG/RkdMMjEBTQmAjGRAZNoiKLRREDzCCbxCUuIa8BoogKK4gIIKCga\n0SRGUCI6LCMMOAKDDARkiWyzfH9/9Kl7T9et6u7q7lq66/N6nnmq6tSpqtNn7q3+3lOnzmF2NhPo\nHqewireSM19Sk2Zx57EC2dP3gd8Kyz3yTh+Wdc+I9NWarz9pVgOY9Z+0wJ1to00jO6B803iK1V5t\nDgqvTm2/u45CSBen3T+TRfwJ8PoKr7c9naAw/mK/OCx3TeWNO/0rKJSibswYN/OWeMNszs9c4i/K\nKdJgUuXWz2S+L4VlEsS/YYhz1Dal4TRr7Rdwqi/WPu61P3aQTtDR2p/JCfAcul8cuT8se335KSiU\norK+7FekttM/V0lXqCbdP86suwANlvT9fFtYHlng2J8CX0ZBYSlG7lM4idKDVLvz07rKIl2OpfPo\n8d/qLsgE+CjdfWyqsCH070rrFZBV8SW9BNiygutINbK+7G9Nbf9hajv5oz5vaKQ6aEDlfMn/8dZh\n+b1BD3RnH4Bo0OtPjbFcrdekv6qqMupAmVKuOfPsSqbHKW+Mwjx5szX0ag2saqaT51d0HSnfnKc2\n7jyUSjotnSUsV5dRIBm75P846aP82iHOkfSpjofJejWAmWZYGlYbg8IizdQiTZWMG1ildItgclPu\n9cShqpuzun9Mj1EeCz7ZP4s0wLfDcuEAeS8nO2hMWghnhr1yn+neolbaIbUuKHTvGjet7DHeRMpS\nR1CYvt4gj+qqCgrVp3B6bFcg78mp7Sa0EL0oLJsyH3MT/SIsdx8wf6+6TH+Pr0NB4dBaFxSmbN4/\ni1TNjL8zY7+6y9FwxzL3rd+ypQOvE3LSY034kpbJUqRf4MrU9uXjLMiQkp/5M2otRbMV+YO23x/A\n6UHCN6CgcGhtDwqlmf6G2cGPJdtWwDsqvmbejfkPehxTVVD44oquI6PZD/jmGM+XHl922BkyyqDW\n63xF6qZfUJgeIF9B4QgUFEpT6Ze6v6q/dPKu96qcdIDlJZQjy2YVXUdG4M6NpMYcLKrPSwR1D14d\na9Kb0E2T3EvOGiBvMsVmnnTAqKBwBG0PCl9D71YOqc/BdRdgAlT9aDbvr/UmtIhoJonJ8fZkJSfA\n6zdfdvyF/79huU9YNumFo6PrLkCDJX0EHxwg78uAl/TYn/4/fyqw8zCFkpYHhe5c4j4zsro0i8ad\na5684G+UOcelZdxZB9wRNrO+g/qNnzuz331mWKZTwnL1SIUbj5/XXYCmCzO/3MrgLXp/mZH2+2GZ\n9YfA3xYtkxnHmvGuosdNm1YHhdJo+tlMMWOBWdcUclVrUiuMTLbksWG/VsEsLwD+iu4Brc8Jy9pb\nrd25s+4yTIiNDD6BRnqcSgjD2mRMiQjDjXt4JnNfWmkdffFKU838BWnG7mbsUmdhGuJNzO1YX6Um\nB4W1BwMyPLNCs2s9ChwEPBClJW8dN+nnoOoZhybNBvoEhWYzMUrWm9y9Hj3fMER5igyFNLVaOc2d\nNNZDzA6IHP+C3gbci/qJ1N3/tUlfuGlr6y6AFLImtf2eAsc+zOyjQwDcuStMv9ikn1ENx9TbRvoP\nXv3rYflEeoc7G81yj//gKAVrM7UUSpPEA5S+OVqfz2yw2GYvATBjPp0gueqXcZraUrgR+EbdhZBC\n0tON7tHvgDBn/V3MHYIkdv8IZRq379ZdgIbbHtiiT57kbfI/ztqZmowisRb4YZGCRC2SraeKkCb5\nTrS+JLVPP6uzNqHzF/RvV3zdpBXm9oqv289DNKuFSPqI+4GFR8ebDnjoluTfCxa487NRyzZGWf3g\nZNaOdLrEAGDGbhl5kqCxyGQGDwHXFyxL3rzuraMvWmmS70Xrf5ba16TxxypnxoHRZvJofZuKi7ER\nwD13/LUNVNDn0Yxdzfh8nISCwkm2kMGHb9kKuClrh/tIcyaXQd+vxfxORtqKsPyXAudZNMS1V/TP\n0g76oZUmOT9af29tpWima6L1A8JymDc3i7oiWu8XeK1hdpL6Mh0MHBltG819tC3jNynTkz7SP4tE\nsloKE+nuBn2FbjaDGmS8xFZQUCiN4c590eavBj3OLLsV0azyuYGrkgzFUUUgdEe0Psj1vtc/y8jO\ng66b/uaopXCSpf/vBv2CbvJ4gJcBF9RdiAnzvh77hnm8W+RF2n2HOP9UUlAojRI6k5/FgD+bZrwW\neCwj/QCY2vHCfhGWX6/gWtdG6/0Cr5/SeRGgKknr6UJa3r1gwqXf0h3kd/9cegcRtXLncHf+o+5y\nTAt3Hh3isB0K5H3pEOefSgoKpYk2MvhI93+Ykz4pj5iGMQ+4j2pmb/j3ZCVnkNjYEe4zASt0vrjL\ndEC0rrlOJ1c6KHzqAMfMQ10Gpk6fea2LOmKM52oNBYXSRBsY/Gdzp5z0HcdUliY6CngasFnZF3If\nPPB0n9Ni+7HxlgbMuC7v8uO+llTm+0Mco36k0+nFYzxXv+FuJIOCQmmijYSfTTOe0ifvC3LSXz/W\nEjXLR8Oy38CvZRpkzvDbgP8d83X3z0kf93WkOsPMna2Wwul09RjPdU3/LJKmoFCaKH58/IysDGbs\nZtazNTBzRHsz9jLjbjOWj1bERqizdSyvhTbmlHyPiR43VfEmtjSHgkLp5+a6CzCJFBRKE8WPj/N+\nRu9g9oULzPi71P51ZHsdnYCmiqFTylZVUHhbRtogY8JtpPypvgwG6u8o00VBofQz6IDoElFQKE20\nNfDMsP6bAx7zN6ntvCBh0EFyJ0Heo/Nxy3qJo98X8qVU0FKI+pZNsv8c4VgFhVPMDDObc08f1KVh\nWWR2m0uGvNbUUVAoTfQ2Zue6PDS904xPD3COrUPeX0+lF5kuqemqmu/3zzPSMh/rR5wxtxSazcyP\nG89oMQ+9ZDKR3EeaplFB4XTbDOY8/RnU4UMco8GrAwWF0nR/lJF2TFZGMy6ONt8dlmvHXqKGKPJm\n8Iiy6nD3AY6beWFoTLYNy8VRmloK22k++n+fFm/MSNs2I61Myyu+XmMpKJTGMivcAvTqaD1v4Oq/\nGrI4TfN/FV5rmJa474fjtjDrtNqWRC2F7bQ/Cgqnxf/LSHtmRppUQEGhNF3S12OgFj8zloTVz+Rk\n+dORS1SxnAFdq/xC/DGwtOAxK5kt4+/FO8z4pRnLhijHlhlpi4BNhjiXNNeNPfY9Hpa7Uf5LTFKf\nSobbypgi9Z4qrttkCgql6ZKhRh4BMOs7U0kyEG7ez/azxlGoimV9lsqCQnfcne8UPYzZFryZFlwz\ndqLT3/OKIYryiYy0PxjiPNJc+0HPPxjiPw7PKLksUo3jMtKq6vbzmBn7RNt3V3TdxlJQKE30jmg9\n+RlNhkD51YDnGGSqrEkxzNu/dXo58DVmyxgH4qM8FsqaoSBvMGuZPD9250b3nvNn/yRa37vsAkmp\negVgYwsKzTjVjEN6ZNk+Wm99TNT6CpBGWhWt/zwsk6DwvgHPMfP4OHn8asaHRy9aLRZkpFXdEXtg\n7lzhzjpmWwrj8r9yhFNnDZit/oST7cPM/m6/bYD8y8srilTsrT32jXPosFOAb/XYH3dDaH1M1PoK\nkEaKB0beGljD7BunfV+wyHhBJRnP762pfFnBVhNltRROgqSlMC7/DmO+xivGfD6p1neY/VK+vl9m\ndx4otzhSoeQ+v0vGvg9F62MZeqvHlKlxULjNOK41yRQUShPFU5YdS/dNY7Mhzpf3IkK6k3FT7VV3\nAYaUBOe7Z6SJQDR7kTsPFTz24fEXRyq0Z1g+0Sdf1rBkvdyQrJh1jafaq2USOi/U7VbwWlNHQaE0\nUa8p1HrNd5wnbzDTfgMwN8WktxTGsloFpL0GmS4xz7AzXkgznBWWPaejcx+4y1DisWj9/dF6XryT\ntBQ+t+B1ppKCQmmicb9EcVnOsC6TMqTFvXUXYBg58xEfVnlBpMl+Y4Rjb+qfRRrsp2E5H3j6GM8b\n39ePzknPy996CgqliTLnOzYbur/HPLJb28bdv60s0zRf8wyzrrf+pJ1GmepOX+aT7Xth+Uv33MkG\nhvGpnPR+LYWCgkJppuU56XFwVGQ8KSM7KDygwDnqdFBYXhClFe1/1UT3lTzbiTTfKI+Ph+lfLM2R\nDFLer09hIe6cXfCQJCgsOhbrVFJQKE2U14du32h9RcFzxm8a/3tYLs7K2EBJR/zXR2m31lSWRDJe\n3C0D5O31+LuSmQuksUYJClv/puiUSLqZ/HPJ1+n3+Pj2kq8/ERQUShOl+xn9MiyfE6VdU+B8V9A9\naHLSZ/GPC5arLnGQfHFtpeiWfJm/b4C8p0Tr60ooi0yu9f2z5GryAO7SXxKMJf+PL67oennpP2U6\nnsCMREGhNFF6LLKkRSC+aSTByMV0ZtDoZQHdMyFM2mwn8Vh8nwzLzH6XFUqCwkt65uoE7/8bbV9X\nTnFkQp03wrFfHVsppA5J/JG0FMbDwawZ8dwXZaTlBYXbheXM8Eht1voKkEZ6bb8M7mx0x9z5Pffc\neXSTOXfPT6XfkM4YM+MIs8a2Iiads+seePufAdx5lN5fzkuAL0bbj5dZKJk4fQejz+M+8wRBJlg0\nSsF5MDOpwKhDV70xI+2UjDSY/RncwOQO/zU2Cgqlia4FLiR7WjOA0wc5iTtfoTMH7/dTu9LbaZ9m\ntBaMMjXlkdn5zL6o8wPgyQGPGzSftMOe/bPMsRvwyLgLIpVL9wu/MizPGcO5i/zxmTw5uhvFRJh7\neyYYMDN3d71+PiHMWEh2EPFCd/47lXfOD7I7ZsaldG42cSfmeYTgyn3uIwUzfglsnbWvDslnC59n\nK+DBZLvWggXJGJBZ4xLGZY+3I4vduXnA6+TerJpSF1KMGecAbwb9H7adGS8E/iudPuzPRc79Yinw\nH+6d+38qz2bAQ+69B9OuWtVxS+ujYmm0+Bch7gBcpLVsziOBnEGV867bBCcDK8N64/6Kc8cHqNM8\nw041OGqfI2mGIi+MyXSrYjDyq+l0acmyAdjErN1xUas/vDRe/KbqVtF6VlC4N9lDVGwgf+7jpDWy\n6R5ndlL4xgWFI7pryON+NtZSSF00f7EkHs1IeywjbVTPzElPvlf2K+GaE0NBoTRWj9anrEfFANa/\nOAAAHFdJREFUq9x5MDxqOCHatYHusfDenDr0yZwp8JrEmP3M0xYUDnsPiocyeX9uLmm6usfblObI\nGrOyjAHK3wCz3V4iSVCY9ZJKaygolEnULzA6B3h+WN8Is9OpufMvGfn/IbW9VUaeOv0J8LKwPukv\natyY2h72HnRbtJ7VwiCT4bb+WaQlsp4AjRKg/U9OenJ/77r3RI0QJ9BiCgplEu3Ta6c7691nxsM7\nHHhnWD8zyhYPU3PiGMtWhsWE2VzcJz4o/GBqu0gr7QPA34T146P0pryRLcWV8XhQJlAUlH02Svtk\nTvZBvCMnPZnzvulPiGqhoFCabindg5pCJ9Ab1ObR+rOi9WH7ssl4FbkHrQa+CbwmFRxP2yP11hjh\nBSWZTpcz2NSZg/h5n3QFhRkUFEqjufMd9zkB3OuGPN0B0XrX9FpmfC0s3z7kuWUwRnfLXpEbswHr\n3OfMonLayKWSul1VdwGkEdYzpgGk3Vmdsyt5gVHxT4ahK8XMtjWzq8zsFjP7hpltnZNvmZmtNLNb\nzezEQY43s5ND/pVm9rIo/QAzWxH2fShKX25m95nZj8K/44b9XDLV4lHy052afzcsP1BRWdoqHRQW\nuQfNjC8pU+cv6y6ANMKrgb8u+RofD8vcP0jNeH3JZWisUSLlk4Cr3H0R8K2w3cXM5gMfBZbR6Rd1\ntJnt2+t4M1sMHBnyLwPONrPkP+8c4I3uvjewt5ktC+kOfM7dnxf+jdIPQZrp8mj9YwWOi6dgS7+V\nLNUzuqfoK3IPei7wtIz09FzZMnnur7sA0hjJG8d5L4qMKul60uspxcd77JtqowSFhwPnhvVzmZ1n\nNnYgsMrdV7v7OuDzwBF9jj+CToC3zt1XA6uAJWa2E7Clu18b8p0XHWOof8C0ix8ppN8W7uWJZMWd\nj0Tp6zPydpmQMQwnTfr3tOjvbdZLRq2fr3SShTnM76m7HNI6veKfzXvsm2qjBIU7uPvasL6W2Td6\nYrsAd0bbdzH7CC/v+J3pfgkgOSadviY6lwOvNbOfmNkXzWzXIT6PNNsFhOFM3LmjwHGH5aQP0lK4\nRYHryGDSQWDRe1DW/1uReU5FZDLkTjowhFdlpKkhKUPPG3Lo87ci41/X25/emUA56y2ydJpl5etx\n/KAuA3Z39+fQ6bB8bp/8MmHc+QzwoiEOfUpO+rbpBLPcvE3zUP8sjXV2artoULhXtP6CsDw+K6OI\nTLS9x3Ui967uR0m/5EbNcdwUC3rtdPdD8/aZ2Voz29Hd7wmPdu/NyLaG7uFEdmV2ztK847OOuSuk\n75pKXxPKGfcp+jfgjB7lPjXavNrdr87LK83izoOM76+7OX1ggT9NbTf1L8l/JBqQe8IVreO/YHb8\nsR8Ax7tz0XiLJCIN8O6Szpv8Ifrdks4/EjNbSmcotlr0DAr7uBQ4Bjg9LNPDRAD8kM4LIXsAd9N5\ngeToPsdfClxgZv9E5/Hw3sC17u5m9rCZLQGuBf4Y+DBAElyG4w+nx8Ta7n7qEJ9VJt/pA+RJt1o1\nMih05+/rLkMBL4GuvpxpRVsKz0tW3NlA5+UzEZk+l43hHNfRPRQZzN7XF4/h/GMXGqquTrbN7JQq\nrz9Kn8LTgEPN7BbgkLCNme1sZl8FcPf1wFuAr9MJ1C5095t7He/uNwFfCPmvAI4Pj5eh85joX+nM\nl7nK3a8M6SeY2Q1mdn243vIRPpdMp1MHyPO81HZlQaEZbzAbax+aplhH72noit6D3jdCWURkcoxj\ngoFVzO2a9mdjOO/Ustl4a/qZmbt7I1t/pBxmnRuCe3eAZ8blwCtS2b/C7NvxADu6s5YKhHK+0r1r\nCJ1435zPMAnMWAJ82J0lYTt9w/k/d7Yc8Fz3A4vcNXyJyDSK7w/juN+ZsSmwqTsPm/GvhLmU3bH0\nvSid1pT7bdVxi0b0lmm3DfD0jPQfZKR9ObVd9e/HNA6cvZHe9VjkDW8NXi0iA3PnCXceTjZrLcyE\nGKVPoUjjhZdTHszY9dKMtPT0eVWPf5f1RnQj/lodQb+gsAgFhSIyLN07BqCWQmmrdRlpz05tVx0U\nbgdgxmKzmdbNSf8dfRqw/5jOpaBQRIY1UDeVtpv0LxyRYWU9ttwstf2cKgqS4Ubg52E9+R19eU1l\nGdXMWGNjaPVUUCgy3YpMTFDU0f2ziIJCaasDM9J+PbV9VhUF6WMegDtX1F2QIVnO+jAUFIpMt09X\neK2Ho/VJ/aN77BQUSltd2T8Lny29FGS+kRubx2RP4xbPMT1qUPhrIx4vIs32iwqvdX60rj82AwWF\n0lYXjylP2Sa9dSwOCscxyXxrJ6oXaYEqp/C8OVpP7rE7VXj9RlJQKG2VDIx6QXpHGJ/qxzTj92PS\ng8INMNOfcI8xnC/rTXIRmQ4XVnit+MlFMhZsMjPa71RYjkZpwpeeSB2uDcvjc/aPcyiVYdwZlvMo\nNpZf0yRvcO8HnJCx/x8Lnk9jjYlMKfdK/gBO7jkG/Cis/yjavwT49wrK0UgKCqWtkhc4HgKemrF/\nIxUMSZN6I/eb8a6wXFp2GUq2X1guY+64qOuBNYOcJKonBYUiMook7jHgv4FXxLMkuXOte3vvMwoK\npa0WJivuPBKlrwzLDVTz+7FLtB73l0uunX4jetIkwdw85s5J7sAHzAZ6888A2nyzFpGRvDEs46Bw\ngztfq6k8jaSgUKTbPmG5AHhKBdeLp+DbPlpPfjcPrqAMZUr6bMYtoo+k8rxjgPMYaiUUkeF9is69\nJg4KdU9JUVAoreTOGnoPTr0/8K0KivKv0fqiaH3HsFxSQRnKtDos40fxnlpmTTmYphu4iAwtPGVY\nj4LCnhQUSmu5syIj+eGMtDLtG2+Y8cvU/iYMizOKeanlsIzJfgtbROoX9xVXUJhBQaFIt6yXTsbO\njD8xy2yp3Dq1fVEV5SlRMoRM1sDVGwqcZx66gYu0wZOUN8NIPKqEgsIM6bcBRaQanwC+MkC+95Rd\nkDK58yvrhINxUPgd4FUUuyHrBi7SAu5sWuLp4xcIdU/JoJZCkfoMMm3btMzJGd9r7g3LIrOT6AYu\nIqPaCMwPQ1zpnpJBQaFIfQ7rtdOsa7iaSRffa4aZA1k3cBEZ1UbguLA8A91T5lBQKNJcV9ZdgDEa\nJhBMH68XTURkFJulthUUpigoFOl2Vt0FiKRvYJNs1HuNXjQRkVF9NLWte0qKgkKRbo/VXYBI+k3k\nSZZuKfzbrp3GMwc4XjdwERkn3VNSFBSKdPuHugsQ2a7uAoxRHBSaO6ek9t82wPG6gYvIOJ1YdwGa\nRkGhyKyb3Hk0rH+m1pJMn6x7zdUFjlefQhGRkikoFOnYlO5p795aV0Gm1PyMtKUFjlefQhGRkiko\nFAHcedK9a4aNdTSrf+HUM2OvXrtRUCgiUioFhSLZNpDduiXDiQO6vOFptu9xvIJCEZGSKSgUybYe\n2MSMnesuyJQ4Klp/ek6eXkG4+hSKyKi+U3cBmk5BoUi25FHyayu63sty0j8NnFlRGcoUz85ySE6e\nXtP+LaZ3S6KISD9fq7sATaegUCSD+8yjyg9XdL2rMpJ/Ajyf6e3b+NnU9ht75H1umQURkVZ4ou4C\nNJ2CQpGKmbFpWD2vT9a7gf2A95Zbotqk+wge3SOvgkIRGdXH6y5A0ykoFKneK8JyZVj+T0ae44C1\n1RRnIhxadwFEZLK5T+1Tl7FZUHcBRFpoj7B8IfnzG+8CvKaS0jRHr0c7u1VWChFpi+PrLkDTKCgU\n6cOMhe6sG+MpTwvLXdx5PCfP343xek2TdPZOPz4+LiuzmYaiEZHxc+ecusvQNHp8LNLf34/5fAvD\ncnkqPW4Z3MB0+izwpzn7bq+yICIi0k1BoUh/B4/5fOvD8p440Z1Los010fonx3z9Ol3mzt1hPd0C\nqPuRiEiNdBMW6e+3xny+W8PyyR553hmt3z/m69cpHoB6UWpf3kwnIiJSAQWFItXbF8CdB3vkeTRa\n/+tyi1OpuHUw/fJI1/3ITC+XiIhUSUGhyADMeHvFl1wfrd9Q8bXLtHu0/q3UvnRL4R1mY+/PKSLt\n9l91F6DJFBSKDOYDZiw04xUVvQ0bv2iyXwXXq8qreuzLuh+9p6yCiEj7uPOiusvQZBqSRmRwvfoA\njlscFN5U4XXL1iug7jX3sYiIlEwthSLFXAdgxs4lX2dxtH5WydeqUvyiyVdS+z5YZUFERKSbgkKR\nfE/LSDsgLA8r+drxY9ZflXytKs20FLpzEXQ9ynlW9cURkZb6w7oL0ER6fCySr9csJmU/6lwWrW/M\nzTV50o+Pp+mzicgEcNfwV3nUUiiSr1fAUuUfVNMUOO2V2tYUdiIiDaGgUCRfr4Cl7DH0/jFan6bH\nx3uktjMDXjO2Kb8oIiISU1Aokm99j32jDCh9PnBMnzwXRutfH+FaTZcXeD9QaSlERERBoUgedx4H\n3lXCqeeR/0h4L+AZRMPfuE/1I9ZpejQuIjLRFBSK9ODOmSWcNjcodOc2d1Yz22fxuBKuX7WLo/Ur\nUvumOeAVEZkoCgpFqncA/VvIngjL/yy5LFU4t8e+rnowYxMzvRkoIlIHBYUiQzLj4CEPXQSc0SuD\nOzcCz3Tn1iGv0RjuXYNU75Pendp+Aji+3BKJiEgWBYUiw3v6CMf2fXvZnZ+NcP6mSt9zslpMP5pz\nrPofioiUSEGhyPC2rrsAE+jzqe0ifQqXj7EcIiKSoqBQZHhvKXqA+suxYtgD3Tl/nAUREZFuQweF\nZratmV1lZreY2TfMLLPVxMyWmdlKM7vVzE4c5HgzOznkX2lmL4vS329md5jZI6lrbGpmF4Zjvm9m\nuw/7uUQKGCbAmx+WHxpnQUREREY1SkvhScBV7r4I+FbY7mJm8+n0D1oGLAaONrN9ex1vZouBI0P+\nZcDZZpZ8+X4FODCjLG8E7nf3vYEPAKeP8LlEBrWnGc8teMySsLx93IWZEG1vKRURaaxRgsLDmR1q\n4lzg1Rl5DgRWuftqd19Hpz/REX2OPwL4nLuvc/fVwCrCF6m7X+vu9/Qpy5eBlw77oUQKurxg/s3D\n8svjLsiE0LiEIiINNUpQuIO7rw3ra4EdMvLsAtwZbd8V0nodv3PIl3VMnpnruPt64CEz23aQDyEy\ngJ177Nt1kBOYYWa8hTBDijtrxlGwCaSWQhGRhlrQa6eZXQXsmLHrPfGGu7uZZbUApNMsI63X8Xnn\nEamMO7+w0UOZTYGPjF6aiaeX20REGqpnUOjuh+btM7O1Zraju99jZjsB92ZkW0P3eGy7hjSAvON7\nHZNnDZ0x4+42swXAVu7+QE65T402r3b3q/ucWwQ6bxon4+d9Fnh9weMVDHUcAZwXbT+nroKIiDSN\nmS0FltZ1/VG+qC4FjgnrxwCXZOT5IbC3me1hZpvQeYHk0j7HXwocZWabmNkzgL2BawuU5ffpvLiS\nyd1Pjf5d3ee8IgC488/Al+gMoHxlvM9soN+j+f2zTLUnwzI993F6hhMRkdZy96vjOKXq648SFJ4G\nHGpmtwCHhG3MbGcz+yrM9O97C/B14CbgQne/udfx7n4T8IWQ/wrgeHf3cO4zzOxOYDMzu9PM3hvO\n9W/AdmZ2K/B2Mt6EFhmDPwK2YTbASWw6wLFtDwq/FJY3pdKvKXi8iIiUxEK81Qpm5u6uju4yEjN+\nj+63h5/qziN5+cMxy4haydzb9cKFGZ8DjgLmuc/2ETbjN4Ab+h3ftvoSEYHq4xb1cxIpbt/Uds+/\nrMx4NnMfm7bNPIA4IBQRkWZRUChS3LNT2/0eDb+8rIJMkLy/dBUkiog0hIJCkeKOTG0v7JP/iD77\n20D3GhGRhtONWqS4+1LbC8x4qxl5Qzi9oOwCTYCTgNdlpKuvoIhIQ+hFE5GCzFgOfCpK2h34OWS/\nEGGWNWC7giEAM/akM5Xl14HD8vKpvkSkjaqOWxQUigwhK9CD3KDwGjrzgPfM11Zm7AXsB1ycl0f1\nJSJtpLePRabPjXUXoMncWUX3fOciIlIDBYUi5dui7gJMgIfrLoCISNspKBQp3x+kto+qpRTNpsfD\nIiI1U59CkSGYcR2wfzp9kBdN1D9uLjO2gPxZYVRnItJG6lMoMhleGa3/Z4Hj7hh3QaaBO/9XdxlE\nRNpOQaHIcDaG5f3A5QWOa0/TvIiITBQFhSLDSZrztwNOm7PT+H0zFmUct3uppZpsL8xJ/3alpRAR\naSkFhSLD6Te13ReBM8P6R0ouy1Rw579z0g+puiwiIm20oO4CiEyo+/N2mM2MuffssNwI/CWwJ7Ci\n5HJNi7uBnenx8omIiIyXgkKRIbjzKGA5M5vsEpbPCMv5wEZ33lpJ4abDRgB3nlp3QURE2kKPj0XK\nN4/ZF1Okt2+E5SeAz9RZEBGRttE4hSIjyGgp7AoA3WdaE69353mVFm4CmXElcJjGJRQR0TiFIpNs\nA51HxVl+s8qCTDC1qIqI1ERBocj4zAeeX3chJtz3gAfrLoSISBspKBQZzZ+ntt9ZSymmhDt/7842\ndZdDRKSN1KdQZARmbA78Kmf3x915U9LvUP3kRESkCPUpFJksT/bYFw9wvb7sgoiIiIxCQaHIaDb0\n2LfQbGYs0IOrKIyIiMiwFBSKjMA9c/DqxKbAsWH9lgqKIyIiMjT1KRQZUc6sJmm7uHN36YUREZGp\noT6FItPp8boLICIi0ouCQpEKuPNA3WUQERHpRUGhiIiIiCgoFCnBd4GD6i6EiIhIEQoKRUZ3N/Dt\naPvFaA5fERGZMAv6ZxGRPhbRGa/wsSht75rKIiIiMhQFhSIjcu9Mc2fdgwb0GtRaRESkcfT4WKQc\ncUvhDbWVQkREZEAKCkXG57Zofcto/QVVF0RERKQozWgiMiZmGLMvmGwJPBLWt3HnwXpKJSIik0oz\nmohMqNQ8yE/UVhAREZEhKCgUKcf6aP2R3FwiIiINoaBQpARxq6G73kQWEZHmU1AoIiIiIgoKRURE\nRERBoci43QLsWXchREREitKMJiJj5M6zUkk/q6UgIiIiBamlUKRc/1F3AURERAahlkKR8mwPnXmR\nRUREmk4zmoiIiIg0kGY0EREREZHKKSgUEREREQWFIiIiIqKgUERERERQUCgiIiIiKCgUERERERQU\nioiIiAgjBIVmtq2ZXWVmt5jZN8xs65x8y8xspZndamYnDnK8mZ0c8q80s5dF6e83szvM7JHUNZab\n2X1m9qPw77hhP5eIiIhIG43SUngScJW7LwK+Fba7mNl84KPAMmAxcLSZ7dvreDNbDBwZ8i8Dzjaz\nZODGrwAHZpTFgc+5+/PCv0+O8Llax8yW1l2GJlK9zKU6yaZ6yaZ6yaZ6mUt10gyjBIWHA+eG9XOB\nV2fkORBY5e6r3X0d8HngiD7HH0EnwFvn7quBVcASAHe/1t3vybiOhX8ynKV1F6ChltZdgAZaWncB\nGmpp3QVoqKV1F6ChltZdgAZaWncBZLSgcAd3XxvW1wI7ZOTZBbgz2r4rpPU6fueQL+uYPA681sx+\nYmZfNLNdB/wMIiIiIgIs6LXTzK4CdszY9Z54w93dzLImUU6nWUZar+PzzpN2GXCBu68zsz+j0/L4\n0j7HiIiIiEhg7v3irZwDzVYCS939HjPbCfi2u++TynMQcKq7LwvbJwMb3f30vOPN7CQAdz8tHHMl\ncIq7XxOd9xF33zKnXPOB+919zosvfQJPERERkUZx98q6x/VsKezjUuAY4PSwvCQjzw+Bvc1sD+Bu\nOi+QHN3n+EuBC8zsn+g8Nt4buLZXQcxsx6iv4eHATVn5qqxYERERkUkySp/C04BDzewW4JCwjZnt\nbGZfBXD39cBbgK/TCdQudPebex3v7jcBXwj5rwCO99CcaWZnmNmdwGZmdqeZvTec6wQzu8HMrg/X\nWz7C5xIRERFpnaEfH4uIiIjI9GjNjCZ5g2hPMjPbzcy+bWY3hpbSE0L6MAODH2BmK8K+D0Xpm5rZ\nhSH9+2a2e7TvmHCNW8zsDVV97kGY2fwwkPllYVt1Yra1mX3JzG42s5vMbInqZeZz3hg+0wXhc7Su\nXszsk2a21sxWRGm11oOZPcPMrgnHfN7MFpZbC91y6uTM8Dv0YzO7yMy2ivZNfZ2EMsypl2jfO81s\no5ltG6W1ul7M7K3hZ+YGMzs9Sm9evbj71P8D5tMZ73APYCFwPbBv3eUaw+faEfjNsL4F8FNgX+AM\n4F0h/UTgtLC+OHz2haEuVjHbWnwtcGBY/xqwLKwfD5wd1o8EPh/WtwVuA7YO/24Dtq67TqK6eQfw\nWeDSsK066byVf1xYXwBs1fZ6CZ/tdmDTsH0hnT7OrasX4LeB5wErorS66mGrsO8LwOvC+jnAmxtQ\nJ4cC88L6aW2rk7x6Cem7AVcCPwO2Vb04wMHAVcDCsP20JtdLLTefGv6jXgBcGW2fBJxUd7lK+JyX\nAL8DrKQzDiR0AseVYf1k4MQo/5XAQcBOwM1R+lHAx6I8S8L6AuC+sH40cE50zMeAo+qug1CWXYFv\nhl/Gy0Ja2+tkK+D2jPS218u2dP6Y2iaU+TI6X/qtrBc6X07xF1pt9UBnCLP7mA3ADiK6j9dVJ6l9\nrwE+07Y6yasX4IvAc+gOCltdL3SCskMy8jWyXtry+LjXINpTwTpveD8PuIbiA4On09cwWz8zdeed\nF4ceMrPtepyrCT4A/DWwMUpre508A7jPzD5lZv9jZp8ws6fQ8npx9weAs4A76IyQ8KC7X0XL6yVS\nZz1sS+f/Y2PGuZriODotOdDyOjGzI4C73P0nqV2trhc6I6i8ODzuvdrMnh/SG1kvbQkKve4ClMnM\ntgC+DLzN3R+J93nnz4Op/vwxM3slcK+7/4icqQ/bVifBAmB/Oo8e9gd+RWq+8jbWi5ntCbydzl/3\nOwNbmNkfxXnaWC9ZKq6Hxte3mb0HeNLdL6joko2tEzPbHHg3cEqcXNHlG1svwQJgG3c/iE5jxRcq\nuu5Q9dKWoHANnb4Oid3ojqonVug0+mXgfHdPxnpca2Y7hv07AfeG9HQ97EqnHtaE9XR6cszTw7kW\n0OmncH/GuZpSpy8EDjeznwGfAw4xs/Npd51Apxx3ufsPwvaX6ASJ97S8Xp4PfM/d7w9/eV9Ep7tJ\n2+slUdfvzRrgAWBrM5sXnWvNeD7WaMxsOfBy4PVRcpvrZE86f1j9ONx7dwWuM7MdaHe9QOczXQQQ\n7r8bzWx7mlovdTxzr+EZ/wI6HS/3ADZhel40MeA84AOp9DMIfRXotAalO0JvQudx4m3Mdmy9BlgS\nzpnu2HpOWD+K7o6tt9Pp1LpNsl53naTq4SXM9ilsfZ0A3wUWhfVTQ520ul6A5wI3AJuFz3Mu8Bdt\nrRfm9oeqtR7otKocGdY/Rj0vD6TrZBlwI7B9Kl9r6iSrXlL74j6Fra4X4E3A+8L6IuCOJtdLbTef\nGv6jfpdOh/JVwMl1l2dMn+lFdPrNXQ/8KPxbFn5AvgncAnyD6IuGThP/KjodyA+L0g8AVoR9H47S\nNw0/VLcC3wf2iPYdG9JvBY6puz4y6uclzL593Po6oRMA/QD4MZ2/XLdSvTjAu+h8ya+gExQubGO9\n0GlZvxt4kk6/pWPrrgc6X5bXhPQLCW9w1lgnx4Wy/JzZe+7ZbaqTVL08kfyspPbfTggK214vdO4n\n54fPeR2d6X0bWy8avFpEREREWtOnUERERER6UFAoIiIiIgoKRURERERBoYiIiIigoFBEREREUFAo\nIiIiIigoFBEREREUFIqIiIgI8P8BZzy40ixrIhoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1321a6690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,10))\n",
"plt.plot(X[:,0] - Y[:,0])"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x13b66c050>]"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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9AzZ3fcvwTXLWU3+Xf1+dZ9k5KjrebFldBohT7zw1ZMPYh8J6DqX9s0OzKv8P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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13b676190>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X = np.array(X)\n",
"Y = np.array(Y)\n",
"plt.figure(figsize=(10,10))\n",
"plt.plot(X[:,1])\n",
"plt.plot(Y[:,1])"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x13bf44410>]"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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QEcG/uhIwaN0La/mbBH/gB0z0B7TZQeTSCetFVBkGf8X4r5T5lwpJj3pU8Clrfx0AEMEq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\nP5J+tKI/ynG6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13b6768d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,10))\n",
"plt.plot(X[:,1] - Y[:,1])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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